{Knot[3, 1] -> {(1 - T + T^2)/T, 
   -((1 - T1 + T1^2 - T2 - T1^3*T2 + T2^2 + T1^4*T2^2 - T1*T2^3 - T1^4*T2^3 + 
      T1^2*T2^4 - T1^3*T2^4 + T1^4*T2^4)/(T1^2*T2^2))}, 
 Knot[4, 1] -> {-((1 - 3*T + T^2)/T), 0}, 
 Knot[5, 1] -> {(1 - T + T^2 - T^3 + T^4)/T^2, 
   -((2 - 2*T1 + 2*T1^2 - 2*T1^3 + 2*T1^4 - 2*T2 - 2*T1^5*T2 + 2*T2^2 + 
      T1^2*T2^2 - T1^3*T2^2 + T1^4*T2^2 + 2*T1^6*T2^2 - 2*T2^3 - T1^2*T2^3 - 
      T1^5*T2^3 - 2*T1^7*T2^3 + 2*T2^4 + T1^2*T2^4 + T1^6*T2^4 + 
      2*T1^8*T2^4 - 2*T1*T2^5 - T1^3*T2^5 - T1^6*T2^5 - 2*T1^8*T2^5 + 
      2*T1^2*T2^6 + T1^4*T2^6 - T1^5*T2^6 + T1^6*T2^6 + 2*T1^8*T2^6 - 
      2*T1^3*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)/(T1^4*T2^4))}, 
 Knot[5, 2] -> {(2 - 3*T + 2*T^2)/T, 
   -((9 - 13*T1 + 9*T1^2 - 13*T2 + 6*T1*T2 + 6*T1^2*T2 - 13*T1^3*T2 + 
      9*T2^2 + 6*T1*T2^2 - 12*T1^2*T2^2 + 6*T1^3*T2^2 + 9*T1^4*T2^2 - 
      13*T1*T2^3 + 6*T1^2*T2^3 + 6*T1^3*T2^3 - 13*T1^4*T2^3 + 9*T1^2*T2^4 - 
      13*T1^3*T2^4 + 9*T1^4*T2^4)/(T1^2*T2^2))}, 
 Knot[6, 1] -> {-(((-2 + T)*(-1 + 2*T))/T), 
   (1 - 3*T1 + T1^2 - 3*T2 + 6*T1*T2 + 6*T1^2*T2 - 3*T1^3*T2 + T2^2 + 
     6*T1*T2^2 - 24*T1^2*T2^2 + 6*T1^3*T2^2 + T1^4*T2^2 - 3*T1*T2^3 + 
     6*T1^2*T2^3 + 6*T1^3*T2^3 - 3*T1^4*T2^3 + T1^2*T2^4 - 3*T1^3*T2^4 + 
     T1^4*T2^4)/(T1^2*T2^2)}, 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 + 6*T1*T2 + 6*T1^4*T2 - 
     3*T1^5*T2 + 3*T2^2 - 15*T1^2*T2^2 + 11*T1^3*T2^2 - 15*T1^4*T2^2 + 
     3*T1^6*T2^2 - 3*T2^3 + 11*T1^2*T2^3 + 11*T1^5*T2^3 - 3*T1^7*T2^3 + 
     T2^4 + 6*T1*T2^4 - 15*T1^2*T2^4 - 15*T1^6*T2^4 + 6*T1^7*T2^4 + 
     T1^8*T2^4 - 3*T1*T2^5 + 11*T1^3*T2^5 + 11*T1^6*T2^5 - 3*T1^8*T2^5 + 
     3*T1^2*T2^6 - 15*T1^4*T2^6 + 11*T1^5*T2^6 - 15*T1^6*T2^6 + 3*T1^8*T2^6 - 
     3*T1^3*T2^7 + 6*T1^4*T2^7 + 6*T1^7*T2^7 - 3*T1^8*T2^7 + T1^4*T2^8 - 
     3*T1^5*T2^8 + 3*T1^6*T2^8 - 3*T1^7*T2^8 + T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[6, 3] -> {(1 - 3*T + 5*T^2 - 3*T^3 + T^4)/T^2, 0}, 
 Knot[7, 1] -> {(1 - T + T^2 - T^3 + T^4 - T^5 + T^6)/T^3, 
   -((3 - 3*T1 + 3*T1^2 - 3*T1^3 + 3*T1^4 - 3*T1^5 + 3*T1^6 - 3*T2 - 
      3*T1^7*T2 + 3*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 + 3*T1^8*T2^2 - 3*T2^3 - 2*T1^2*T2^3 - 
      2*T1^7*T2^3 - 3*T1^9*T2^3 + 3*T2^4 + 2*T1^2*T2^4 + T1^4*T2^4 - 
      T1^5*T2^4 + T1^6*T2^4 + 2*T1^8*T2^4 + 3*T1^10*T2^4 - 3*T2^5 - 
      2*T1^2*T2^5 - T1^4*T2^5 - T1^7*T2^5 - 2*T1^9*T2^5 - 3*T1^11*T2^5 + 
      3*T2^6 + 2*T1^2*T2^6 + T1^4*T2^6 + T1^8*T2^6 + 2*T1^10*T2^6 + 
      3*T1^12*T2^6 - 3*T1*T2^7 - 2*T1^3*T2^7 - T1^5*T2^7 - T1^8*T2^7 - 
      2*T1^10*T2^7 - 3*T1^12*T2^7 + 3*T1^2*T2^8 + 2*T1^4*T2^8 + T1^6*T2^8 - 
      T1^7*T2^8 + T1^8*T2^8 + 2*T1^10*T2^8 + 3*T1^12*T2^8 - 3*T1^3*T2^9 - 
      2*T1^5*T2^9 - 2*T1^10*T2^9 - 3*T1^12*T2^9 + 3*T1^4*T2^10 + 
      2*T1^6*T2^10 - 2*T1^7*T2^10 + 2*T1^8*T2^10 - 2*T1^9*T2^10 + 
      2*T1^10*T2^10 + 3*T1^12*T2^10 - 3*T1^5*T2^11 - 3*T1^12*T2^11 + 
      3*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 + 3*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[7, 2] -> {(3 - 5*T + 3*T^2)/T, 
   (-2*(18 - 29*T1 + 18*T1^2 - 29*T2 + 18*T1*T2 + 18*T1^2*T2 - 29*T1^3*T2 + 
      18*T2^2 + 18*T1*T2^2 - 42*T1^2*T2^2 + 18*T1^3*T2^2 + 18*T1^4*T2^2 - 
      29*T1*T2^3 + 18*T1^2*T2^3 + 18*T1^3*T2^3 - 29*T1^4*T2^3 + 
      18*T1^2*T2^4 - 29*T1^3*T2^4 + 18*T1^4*T2^4))/(T1^2*T2^2)}, 
 Knot[7, 3] -> {(2 - 3*T + 3*T^2 - 3*T^3 + 2*T^4)/T^2, 
   (17 - 25*T1 + 25*T1^2 - 25*T1^3 + 17*T1^4 - 25*T2 + 12*T1*T2 + 
     12*T1^4*T2 - 25*T1^5*T2 + 25*T2^2 - T1^2*T2^2 - 7*T1^3*T2^2 - 
     T1^4*T2^2 + 25*T1^6*T2^2 - 25*T2^3 - 7*T1^2*T2^3 + 6*T1^3*T2^3 + 
     6*T1^4*T2^3 - 7*T1^5*T2^3 - 25*T1^7*T2^3 + 17*T2^4 + 12*T1*T2^4 - 
     T1^2*T2^4 + 6*T1^3*T2^4 - 12*T1^4*T2^4 + 6*T1^5*T2^4 - T1^6*T2^4 + 
     12*T1^7*T2^4 + 17*T1^8*T2^4 - 25*T1*T2^5 - 7*T1^3*T2^5 + 6*T1^4*T2^5 + 
     6*T1^5*T2^5 - 7*T1^6*T2^5 - 25*T1^8*T2^5 + 25*T1^2*T2^6 - T1^4*T2^6 - 
     7*T1^5*T2^6 - T1^6*T2^6 + 25*T1^8*T2^6 - 25*T1^3*T2^7 + 12*T1^4*T2^7 + 
     12*T1^7*T2^7 - 25*T1^8*T2^7 + 17*T1^4*T2^8 - 25*T1^5*T2^8 + 
     25*T1^6*T2^8 - 25*T1^7*T2^8 + 17*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[7, 4] -> {(4 - 7*T + 4*T^2)/T, 
   (8*(10 - 17*T1 + 10*T1^2 - 17*T2 + 12*T1*T2 + 12*T1^2*T2 - 17*T1^3*T2 + 
      10*T2^2 + 12*T1*T2^2 - 30*T1^2*T2^2 + 12*T1^3*T2^2 + 10*T1^4*T2^2 - 
      17*T1*T2^3 + 12*T1^2*T2^3 + 12*T1^3*T2^3 - 17*T1^4*T2^3 + 
      10*T1^2*T2^4 - 17*T1^3*T2^4 + 10*T1^4*T2^4))/(T1^2*T2^2)}, 
 Knot[7, 5] -> {(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4)/T^2, 
   -((17 - 33*T1 + 41*T1^2 - 33*T1^3 + 17*T1^4 - 33*T2 + 32*T1*T2 - 
      16*T1^2*T2 - 16*T1^3*T2 + 32*T1^4*T2 - 33*T1^5*T2 + 41*T2^2 - 
      16*T1*T2^2 + 4*T1^2*T2^2 + 12*T1^3*T2^2 + 4*T1^4*T2^2 - 16*T1^5*T2^2 + 
      41*T1^6*T2^2 - 33*T2^3 - 16*T1*T2^3 + 12*T1^2*T2^3 - 14*T1^3*T2^3 - 
      14*T1^4*T2^3 + 12*T1^5*T2^3 - 16*T1^6*T2^3 - 33*T1^7*T2^3 + 17*T2^4 + 
      32*T1*T2^4 + 4*T1^2*T2^4 - 14*T1^3*T2^4 + 36*T1^4*T2^4 - 14*T1^5*T2^4 + 
      4*T1^6*T2^4 + 32*T1^7*T2^4 + 17*T1^8*T2^4 - 33*T1*T2^5 - 16*T1^2*T2^5 + 
      12*T1^3*T2^5 - 14*T1^4*T2^5 - 14*T1^5*T2^5 + 12*T1^6*T2^5 - 
      16*T1^7*T2^5 - 33*T1^8*T2^5 + 41*T1^2*T2^6 - 16*T1^3*T2^6 + 
      4*T1^4*T2^6 + 12*T1^5*T2^6 + 4*T1^6*T2^6 - 16*T1^7*T2^6 + 
      41*T1^8*T2^6 - 33*T1^3*T2^7 + 32*T1^4*T2^7 - 16*T1^5*T2^7 - 
      16*T1^6*T2^7 + 32*T1^7*T2^7 - 33*T1^8*T2^7 + 17*T1^4*T2^8 - 
      33*T1^5*T2^8 + 41*T1^6*T2^8 - 33*T1^7*T2^8 + 17*T1^8*T2^8)/
     (T1^4*T2^4))}, 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 + 20*T1*T2 - 10*T1^2*T2 - 
     10*T1^3*T2 + 20*T1^4*T2 - 5*T1^5*T2 + 7*T2^2 - 10*T1*T2^2 - 
     64*T1^2*T2^2 + 98*T1^3*T2^2 - 64*T1^4*T2^2 - 10*T1^5*T2^2 + 
     7*T1^6*T2^2 - 5*T2^3 - 10*T1*T2^3 + 98*T1^2*T2^3 - 50*T1^3*T2^3 - 
     50*T1^4*T2^3 + 98*T1^5*T2^3 - 10*T1^6*T2^3 - 5*T1^7*T2^3 + T2^4 + 
     20*T1*T2^4 - 64*T1^2*T2^4 - 50*T1^3*T2^4 + 108*T1^4*T2^4 - 
     50*T1^5*T2^4 - 64*T1^6*T2^4 + 20*T1^7*T2^4 + T1^8*T2^4 - 5*T1*T2^5 - 
     10*T1^2*T2^5 + 98*T1^3*T2^5 - 50*T1^4*T2^5 - 50*T1^5*T2^5 + 
     98*T1^6*T2^5 - 10*T1^7*T2^5 - 5*T1^8*T2^5 + 7*T1^2*T2^6 - 10*T1^3*T2^6 - 
     64*T1^4*T2^6 + 98*T1^5*T2^6 - 64*T1^6*T2^6 - 10*T1^7*T2^6 + 
     7*T1^8*T2^6 - 5*T1^3*T2^7 + 20*T1^4*T2^7 - 10*T1^5*T2^7 - 10*T1^6*T2^7 + 
     20*T1^7*T2^7 - 5*T1^8*T2^7 + T1^4*T2^8 - 5*T1^5*T2^8 + 7*T1^6*T2^8 - 
     5*T1^7*T2^8 + T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[7, 7] -> {(1 - 5*T + 9*T^2 - 5*T^3 + T^4)/T^2, 
   -((1 - 5*T1 + T1^2 - 5*T2 + 12*T1*T2 + 12*T1^2*T2 - 5*T1^3*T2 + T2^2 + 
      12*T1*T2^2 - 48*T1^2*T2^2 + 12*T1^3*T2^2 + T1^4*T2^2 - 5*T1*T2^3 + 
      12*T1^2*T2^3 + 12*T1^3*T2^3 - 5*T1^4*T2^3 + T1^2*T2^4 - 5*T1^3*T2^4 + 
      T1^4*T2^4)/(T1^2*T2^2))}, Knot[8, 1] -> {-((3 - 7*T + 3*T^2)/T), 
   (9 - 23*T1 + 9*T1^2 - 23*T2 + 36*T1*T2 + 36*T1^2*T2 - 23*T1^3*T2 + 
     9*T2^2 + 36*T1*T2^2 - 132*T1^2*T2^2 + 36*T1^3*T2^2 + 9*T1^4*T2^2 - 
     23*T1*T2^3 + 36*T1^2*T2^3 + 36*T1^3*T2^3 - 23*T1^4*T2^3 + 9*T1^2*T2^4 - 
     23*T1^3*T2^4 + 9*T1^4*T2^4)/(T1^2*T2^2)}, 
 Knot[8, 2] -> {-((1 - 3*T + 3*T^2 - 3*T^3 + 3*T^4 - 3*T^5 + T^6)/T^3), 
   (2 - 6*T1 + 6*T1^2 - 6*T1^3 + 6*T1^4 - 6*T1^5 + 2*T1^6 - 6*T2 + 12*T1*T2 + 
     12*T1^6*T2 - 6*T1^7*T2 + 6*T2^2 - 30*T1^2*T2^2 + 20*T1^3*T2^2 - 
     20*T1^4*T2^2 + 20*T1^5*T2^2 - 30*T1^6*T2^2 + 6*T1^8*T2^2 - 6*T2^3 + 
     20*T1^2*T2^3 + 6*T1^3*T2^3 + 6*T1^6*T2^3 + 20*T1^7*T2^3 - 6*T1^9*T2^3 + 
     6*T2^4 - 20*T1^2*T2^4 - 15*T1^4*T2^4 + 11*T1^5*T2^4 - 15*T1^6*T2^4 - 
     20*T1^8*T2^4 + 6*T1^10*T2^4 - 6*T2^5 + 20*T1^2*T2^5 + 11*T1^4*T2^5 + 
     11*T1^7*T2^5 + 20*T1^9*T2^5 - 6*T1^11*T2^5 + 2*T2^6 + 12*T1*T2^6 - 
     30*T1^2*T2^6 + 6*T1^3*T2^6 - 15*T1^4*T2^6 - 15*T1^8*T2^6 + 6*T1^9*T2^6 - 
     30*T1^10*T2^6 + 12*T1^11*T2^6 + 2*T1^12*T2^6 - 6*T1*T2^7 + 
     20*T1^3*T2^7 + 11*T1^5*T2^7 + 11*T1^8*T2^7 + 20*T1^10*T2^7 - 
     6*T1^12*T2^7 + 6*T1^2*T2^8 - 20*T1^4*T2^8 - 15*T1^6*T2^8 + 
     11*T1^7*T2^8 - 15*T1^8*T2^8 - 20*T1^10*T2^8 + 6*T1^12*T2^8 - 
     6*T1^3*T2^9 + 20*T1^5*T2^9 + 6*T1^6*T2^9 + 6*T1^9*T2^9 + 20*T1^10*T2^9 - 
     6*T1^12*T2^9 + 6*T1^4*T2^10 - 30*T1^6*T2^10 + 20*T1^7*T2^10 - 
     20*T1^8*T2^10 + 20*T1^9*T2^10 - 30*T1^10*T2^10 + 6*T1^12*T2^10 - 
     6*T1^5*T2^11 + 12*T1^6*T2^11 + 12*T1^11*T2^11 - 6*T1^12*T2^11 + 
     2*T1^6*T2^12 - 6*T1^7*T2^12 + 6*T1^8*T2^12 - 6*T1^9*T2^12 + 
     6*T1^10*T2^12 - 6*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[8, 3] -> {-((4 - 9*T + 4*T^2)/T), 0}, 
 Knot[8, 4] -> {-((2 - 5*T + 5*T^2 - 5*T^3 + 2*T^4)/T^2), 
   (7 - 17*T1 + 17*T1^2 - 17*T1^3 + 7*T1^4 - 17*T2 + 24*T1*T2 + 24*T1^4*T2 - 
     17*T1^5*T2 + 17*T2^2 - 47*T1^2*T2^2 + 35*T1^3*T2^2 - 47*T1^4*T2^2 + 
     17*T1^6*T2^2 - 17*T2^3 + 35*T1^2*T2^3 - 6*T1^3*T2^3 - 6*T1^4*T2^3 + 
     35*T1^5*T2^3 - 17*T1^7*T2^3 + 7*T2^4 + 24*T1*T2^4 - 47*T1^2*T2^4 - 
     6*T1^3*T2^4 + 24*T1^4*T2^4 - 6*T1^5*T2^4 - 47*T1^6*T2^4 + 24*T1^7*T2^4 + 
     7*T1^8*T2^4 - 17*T1*T2^5 + 35*T1^3*T2^5 - 6*T1^4*T2^5 - 6*T1^5*T2^5 + 
     35*T1^6*T2^5 - 17*T1^8*T2^5 + 17*T1^2*T2^6 - 47*T1^4*T2^6 + 
     35*T1^5*T2^6 - 47*T1^6*T2^6 + 17*T1^8*T2^6 - 17*T1^3*T2^7 + 
     24*T1^4*T2^7 + 24*T1^7*T2^7 - 17*T1^8*T2^7 + 7*T1^4*T2^8 - 
     17*T1^5*T2^8 + 17*T1^6*T2^8 - 17*T1^7*T2^8 + 7*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[8, 5] -> {-(((1 - T + T^2)*(1 - 2*T + T^2 - 2*T^3 + T^4))/T^3), 
   -((2 - 6*T1 + 8*T1^2 - 10*T1^3 + 8*T1^4 - 6*T1^5 + 2*T1^6 - 6*T2 + 
      12*T1*T2 - 6*T1^2*T2 + 6*T1^3*T2 + 6*T1^4*T2 - 6*T1^5*T2 + 12*T1^6*T2 - 
      6*T1^7*T2 + 8*T2^2 - 6*T1*T2^2 - 15*T1^2*T2^2 + 12*T1^3*T2^2 - 
      29*T1^4*T2^2 + 12*T1^5*T2^2 - 15*T1^6*T2^2 - 6*T1^7*T2^2 + 
      8*T1^8*T2^2 - 10*T2^3 + 6*T1*T2^3 + 12*T1^2*T2^3 + 6*T1^3*T2^3 + 
      13*T1^4*T2^3 + 13*T1^5*T2^3 + 6*T1^6*T2^3 + 12*T1^7*T2^3 + 
      6*T1^8*T2^3 - 10*T1^9*T2^3 + 8*T2^4 + 6*T1*T2^4 - 29*T1^2*T2^4 + 
      13*T1^3*T2^4 - 43*T1^4*T2^4 + 15*T1^5*T2^4 - 43*T1^6*T2^4 + 
      13*T1^7*T2^4 - 29*T1^8*T2^4 + 6*T1^9*T2^4 + 8*T1^10*T2^4 - 6*T2^5 - 
      6*T1*T2^5 + 12*T1^2*T2^5 + 13*T1^3*T2^5 + 15*T1^4*T2^5 + 16*T1^5*T2^5 + 
      16*T1^6*T2^5 + 15*T1^7*T2^5 + 13*T1^8*T2^5 + 12*T1^9*T2^5 - 
      6*T1^10*T2^5 - 6*T1^11*T2^5 + 2*T2^6 + 12*T1*T2^6 - 15*T1^2*T2^6 + 
      6*T1^3*T2^6 - 43*T1^4*T2^6 + 16*T1^5*T2^6 - 48*T1^6*T2^6 + 
      16*T1^7*T2^6 - 43*T1^8*T2^6 + 6*T1^9*T2^6 - 15*T1^10*T2^6 + 
      12*T1^11*T2^6 + 2*T1^12*T2^6 - 6*T1*T2^7 - 6*T1^2*T2^7 + 12*T1^3*T2^7 + 
      13*T1^4*T2^7 + 15*T1^5*T2^7 + 16*T1^6*T2^7 + 16*T1^7*T2^7 + 
      15*T1^8*T2^7 + 13*T1^9*T2^7 + 12*T1^10*T2^7 - 6*T1^11*T2^7 - 
      6*T1^12*T2^7 + 8*T1^2*T2^8 + 6*T1^3*T2^8 - 29*T1^4*T2^8 + 
      13*T1^5*T2^8 - 43*T1^6*T2^8 + 15*T1^7*T2^8 - 43*T1^8*T2^8 + 
      13*T1^9*T2^8 - 29*T1^10*T2^8 + 6*T1^11*T2^8 + 8*T1^12*T2^8 - 
      10*T1^3*T2^9 + 6*T1^4*T2^9 + 12*T1^5*T2^9 + 6*T1^6*T2^9 + 
      13*T1^7*T2^9 + 13*T1^8*T2^9 + 6*T1^9*T2^9 + 12*T1^10*T2^9 + 
      6*T1^11*T2^9 - 10*T1^12*T2^9 + 8*T1^4*T2^10 - 6*T1^5*T2^10 - 
      15*T1^6*T2^10 + 12*T1^7*T2^10 - 29*T1^8*T2^10 + 12*T1^9*T2^10 - 
      15*T1^10*T2^10 - 6*T1^11*T2^10 + 8*T1^12*T2^10 - 6*T1^5*T2^11 + 
      12*T1^6*T2^11 - 6*T1^7*T2^11 + 6*T1^8*T2^11 + 6*T1^9*T2^11 - 
      6*T1^10*T2^11 + 12*T1^11*T2^11 - 6*T1^12*T2^11 + 2*T1^6*T2^12 - 
      6*T1^7*T2^12 + 8*T1^8*T2^12 - 10*T1^9*T2^12 + 8*T1^10*T2^12 - 
      6*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[8, 6] -> {-((2 - 6*T + 7*T^2 - 6*T^3 + 2*T^4)/T^2), 
   (9 - 27*T1 + 31*T1^2 - 27*T1^3 + 9*T1^4 - 27*T2 + 54*T1*T2 - 12*T1^2*T2 - 
     12*T1^3*T2 + 54*T1^4*T2 - 27*T1^5*T2 + 31*T2^2 - 12*T1*T2^2 - 
     111*T1^2*T2^2 + 111*T1^3*T2^2 - 111*T1^4*T2^2 - 12*T1^5*T2^2 + 
     31*T1^6*T2^2 - 27*T2^3 - 12*T1*T2^3 + 111*T1^2*T2^3 - 18*T1^3*T2^3 - 
     18*T1^4*T2^3 + 111*T1^5*T2^3 - 12*T1^6*T2^3 - 27*T1^7*T2^3 + 9*T2^4 + 
     54*T1*T2^4 - 111*T1^2*T2^4 - 18*T1^3*T2^4 + 12*T1^4*T2^4 - 
     18*T1^5*T2^4 - 111*T1^6*T2^4 + 54*T1^7*T2^4 + 9*T1^8*T2^4 - 27*T1*T2^5 - 
     12*T1^2*T2^5 + 111*T1^3*T2^5 - 18*T1^4*T2^5 - 18*T1^5*T2^5 + 
     111*T1^6*T2^5 - 12*T1^7*T2^5 - 27*T1^8*T2^5 + 31*T1^2*T2^6 - 
     12*T1^3*T2^6 - 111*T1^4*T2^6 + 111*T1^5*T2^6 - 111*T1^6*T2^6 - 
     12*T1^7*T2^6 + 31*T1^8*T2^6 - 27*T1^3*T2^7 + 54*T1^4*T2^7 - 
     12*T1^5*T2^7 - 12*T1^6*T2^7 + 54*T1^7*T2^7 - 27*T1^8*T2^7 + 
     9*T1^4*T2^8 - 27*T1^5*T2^8 + 31*T1^6*T2^8 - 27*T1^7*T2^8 + 9*T1^8*T2^8)/
    (T1^4*T2^4)}, Knot[8, 7] -> 
  {(1 - 3*T + 5*T^2 - 5*T^3 + 5*T^4 - 3*T^5 + T^6)/T^3, 
   (1 - 3*T1 + 5*T1^2 - 5*T1^3 + 5*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 - 
     6*T1^2*T2 - 6*T1^5*T2 + 6*T1^6*T2 - 3*T1^7*T2 + 5*T2^2 - 6*T1*T2^2 + 
     3*T1^2*T2^2 + 7*T1^3*T2^2 + T1^4*T2^2 + 7*T1^5*T2^2 + 3*T1^6*T2^2 - 
     6*T1^7*T2^2 + 5*T1^8*T2^2 - 5*T2^3 + 7*T1^2*T2^3 - 16*T1^3*T2^3 - 
     4*T1^4*T2^3 - 4*T1^5*T2^3 - 16*T1^6*T2^3 + 7*T1^7*T2^3 - 5*T1^9*T2^3 + 
     5*T2^4 + T1^2*T2^4 - 4*T1^3*T2^4 + 31*T1^4*T2^4 - 19*T1^5*T2^4 + 
     31*T1^6*T2^4 - 4*T1^7*T2^4 + T1^8*T2^4 + 5*T1^10*T2^4 - 3*T2^5 - 
     6*T1*T2^5 + 7*T1^2*T2^5 - 4*T1^3*T2^5 - 19*T1^4*T2^5 - 19*T1^7*T2^5 - 
     4*T1^8*T2^5 + 7*T1^9*T2^5 - 6*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 
     6*T1*T2^6 + 3*T1^2*T2^6 - 16*T1^3*T2^6 + 31*T1^4*T2^6 + 31*T1^8*T2^6 - 
     16*T1^9*T2^6 + 3*T1^10*T2^6 + 6*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 - 
     6*T1^2*T2^7 + 7*T1^3*T2^7 - 4*T1^4*T2^7 - 19*T1^5*T2^7 - 19*T1^8*T2^7 - 
     4*T1^9*T2^7 + 7*T1^10*T2^7 - 6*T1^11*T2^7 - 3*T1^12*T2^7 + 5*T1^2*T2^8 + 
     T1^4*T2^8 - 4*T1^5*T2^8 + 31*T1^6*T2^8 - 19*T1^7*T2^8 + 31*T1^8*T2^8 - 
     4*T1^9*T2^8 + T1^10*T2^8 + 5*T1^12*T2^8 - 5*T1^3*T2^9 + 7*T1^5*T2^9 - 
     16*T1^6*T2^9 - 4*T1^7*T2^9 - 4*T1^8*T2^9 - 16*T1^9*T2^9 + 7*T1^10*T2^9 - 
     5*T1^12*T2^9 + 5*T1^4*T2^10 - 6*T1^5*T2^10 + 3*T1^6*T2^10 + 
     7*T1^7*T2^10 + T1^8*T2^10 + 7*T1^9*T2^10 + 3*T1^10*T2^10 - 
     6*T1^11*T2^10 + 5*T1^12*T2^10 - 3*T1^5*T2^11 + 6*T1^6*T2^11 - 
     6*T1^7*T2^11 - 6*T1^10*T2^11 + 6*T1^11*T2^11 - 3*T1^12*T2^11 + 
     T1^6*T2^12 - 3*T1^7*T2^12 + 5*T1^8*T2^12 - 5*T1^9*T2^12 + 
     5*T1^10*T2^12 - 3*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[8, 8] -> {((2 - 2*T + T^2)*(1 - 2*T + 2*T^2))/T^2, 
   (1 - 3*T1 + 5*T1^2 - 3*T1^3 + T1^4 - 3*T2 + 6*T1*T2 - 6*T1^2*T2 - 
     6*T1^3*T2 + 6*T1^4*T2 - 3*T1^5*T2 + 5*T2^2 - 6*T1*T2^2 + 9*T1^2*T2^2 + 
     5*T1^3*T2^2 + 9*T1^4*T2^2 - 6*T1^5*T2^2 + 5*T1^6*T2^2 - 3*T2^3 - 
     6*T1*T2^3 + 5*T1^2*T2^3 - 18*T1^3*T2^3 - 18*T1^4*T2^3 + 5*T1^5*T2^3 - 
     6*T1^6*T2^3 - 3*T1^7*T2^3 + T2^4 + 6*T1*T2^4 + 9*T1^2*T2^4 - 
     18*T1^3*T2^4 + 60*T1^4*T2^4 - 18*T1^5*T2^4 + 9*T1^6*T2^4 + 6*T1^7*T2^4 + 
     T1^8*T2^4 - 3*T1*T2^5 - 6*T1^2*T2^5 + 5*T1^3*T2^5 - 18*T1^4*T2^5 - 
     18*T1^5*T2^5 + 5*T1^6*T2^5 - 6*T1^7*T2^5 - 3*T1^8*T2^5 + 5*T1^2*T2^6 - 
     6*T1^3*T2^6 + 9*T1^4*T2^6 + 5*T1^5*T2^6 + 9*T1^6*T2^6 - 6*T1^7*T2^6 + 
     5*T1^8*T2^6 - 3*T1^3*T2^7 + 6*T1^4*T2^7 - 6*T1^5*T2^7 - 6*T1^6*T2^7 + 
     6*T1^7*T2^7 - 3*T1^8*T2^7 + T1^4*T2^8 - 3*T1^5*T2^8 + 5*T1^6*T2^8 - 
     3*T1^7*T2^8 + T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[8, 9] -> {-(((-1 + T - 2*T^2 + T^3)*(-1 + 2*T - T^2 + T^3))/T^3), 0}, 
 Knot[8, 10] -> {(1 - T + T^2)^3/T^3, (1 - 3*T1 + 6*T1^2 - 7*T1^3 + 6*T1^4 - 
     3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 - 9*T1^2*T2 + 3*T1^3*T2 + 3*T1^4*T2 - 
     9*T1^5*T2 + 6*T1^6*T2 - 3*T1^7*T2 + 6*T2^2 - 9*T1*T2^2 + 14*T1^2*T2^2 - 
     2*T1^3*T2^2 + 2*T1^4*T2^2 - 2*T1^5*T2^2 + 14*T1^6*T2^2 - 9*T1^7*T2^2 + 
     6*T1^8*T2^2 - 7*T2^3 + 3*T1*T2^3 - 2*T1^2*T2^3 - 20*T1^3*T2^3 + 
     5*T1^4*T2^3 + 5*T1^5*T2^3 - 20*T1^6*T2^3 - 2*T1^7*T2^3 + 3*T1^8*T2^3 - 
     7*T1^9*T2^3 + 6*T2^4 + 3*T1*T2^4 + 2*T1^2*T2^4 + 5*T1^3*T2^4 + 
     40*T1^4*T2^4 - 48*T1^5*T2^4 + 40*T1^6*T2^4 + 5*T1^7*T2^4 + 2*T1^8*T2^4 + 
     3*T1^9*T2^4 + 6*T1^10*T2^4 - 3*T2^5 - 9*T1*T2^5 - 2*T1^2*T2^5 + 
     5*T1^3*T2^5 - 48*T1^4*T2^5 + 18*T1^5*T2^5 + 18*T1^6*T2^5 - 
     48*T1^7*T2^5 + 5*T1^8*T2^5 - 2*T1^9*T2^5 - 9*T1^10*T2^5 - 3*T1^11*T2^5 + 
     T2^6 + 6*T1*T2^6 + 14*T1^2*T2^6 - 20*T1^3*T2^6 + 40*T1^4*T2^6 + 
     18*T1^5*T2^6 - 36*T1^6*T2^6 + 18*T1^7*T2^6 + 40*T1^8*T2^6 - 
     20*T1^9*T2^6 + 14*T1^10*T2^6 + 6*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 - 
     9*T1^2*T2^7 - 2*T1^3*T2^7 + 5*T1^4*T2^7 - 48*T1^5*T2^7 + 18*T1^6*T2^7 + 
     18*T1^7*T2^7 - 48*T1^8*T2^7 + 5*T1^9*T2^7 - 2*T1^10*T2^7 - 
     9*T1^11*T2^7 - 3*T1^12*T2^7 + 6*T1^2*T2^8 + 3*T1^3*T2^8 + 2*T1^4*T2^8 + 
     5*T1^5*T2^8 + 40*T1^6*T2^8 - 48*T1^7*T2^8 + 40*T1^8*T2^8 + 5*T1^9*T2^8 + 
     2*T1^10*T2^8 + 3*T1^11*T2^8 + 6*T1^12*T2^8 - 7*T1^3*T2^9 + 3*T1^4*T2^9 - 
     2*T1^5*T2^9 - 20*T1^6*T2^9 + 5*T1^7*T2^9 + 5*T1^8*T2^9 - 20*T1^9*T2^9 - 
     2*T1^10*T2^9 + 3*T1^11*T2^9 - 7*T1^12*T2^9 + 6*T1^4*T2^10 - 
     9*T1^5*T2^10 + 14*T1^6*T2^10 - 2*T1^7*T2^10 + 2*T1^8*T2^10 - 
     2*T1^9*T2^10 + 14*T1^10*T2^10 - 9*T1^11*T2^10 + 6*T1^12*T2^10 - 
     3*T1^5*T2^11 + 6*T1^6*T2^11 - 9*T1^7*T2^11 + 3*T1^8*T2^11 + 
     3*T1^9*T2^11 - 9*T1^10*T2^11 + 6*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)/(T1^6*T2^6)}, 
 Knot[8, 11] -> {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2))/T^2), 
   (9 - 31*T1 + 39*T1^2 - 31*T1^3 + 9*T1^4 - 31*T2 + 76*T1*T2 - 28*T1^2*T2 - 
     28*T1^3*T2 + 76*T1^4*T2 - 31*T1^5*T2 + 39*T2^2 - 28*T1*T2^2 - 
     160*T1^2*T2^2 + 206*T1^3*T2^2 - 160*T1^4*T2^2 - 28*T1^5*T2^2 + 
     39*T1^6*T2^2 - 31*T2^3 - 28*T1*T2^3 + 206*T1^2*T2^3 - 74*T1^3*T2^3 - 
     74*T1^4*T2^3 + 206*T1^5*T2^3 - 28*T1^6*T2^3 - 31*T1^7*T2^3 + 9*T2^4 + 
     76*T1*T2^4 - 160*T1^2*T2^4 - 74*T1^3*T2^4 + 132*T1^4*T2^4 - 
     74*T1^5*T2^4 - 160*T1^6*T2^4 + 76*T1^7*T2^4 + 9*T1^8*T2^4 - 31*T1*T2^5 - 
     28*T1^2*T2^5 + 206*T1^3*T2^5 - 74*T1^4*T2^5 - 74*T1^5*T2^5 + 
     206*T1^6*T2^5 - 28*T1^7*T2^5 - 31*T1^8*T2^5 + 39*T1^2*T2^6 - 
     28*T1^3*T2^6 - 160*T1^4*T2^6 + 206*T1^5*T2^6 - 160*T1^6*T2^6 - 
     28*T1^7*T2^6 + 39*T1^8*T2^6 - 31*T1^3*T2^7 + 76*T1^4*T2^7 - 
     28*T1^5*T2^7 - 28*T1^6*T2^7 + 76*T1^7*T2^7 - 31*T1^8*T2^7 + 
     9*T1^4*T2^8 - 31*T1^5*T2^8 + 39*T1^6*T2^8 - 31*T1^7*T2^8 + 9*T1^8*T2^8)/
    (T1^4*T2^4)}, Knot[8, 12] -> {(1 - 7*T + 13*T^2 - 7*T^3 + T^4)/T^2, 0}, 
 Knot[8, 13] -> {(2 - 7*T + 11*T^2 - 7*T^3 + 2*T^4)/T^2, 
   (1 - 3*T1 + 5*T1^2 - 3*T1^3 + T1^4 - 3*T2 + 6*T1*T2 - 6*T1^2*T2 - 
     6*T1^3*T2 + 6*T1^4*T2 - 3*T1^5*T2 + 5*T2^2 - 6*T1*T2^2 + 9*T1^2*T2^2 + 
     7*T1^3*T2^2 + 9*T1^4*T2^2 - 6*T1^5*T2^2 + 5*T1^6*T2^2 - 3*T2^3 - 
     6*T1*T2^3 + 7*T1^2*T2^3 - 24*T1^3*T2^3 - 24*T1^4*T2^3 + 7*T1^5*T2^3 - 
     6*T1^6*T2^3 - 3*T1^7*T2^3 + T2^4 + 6*T1*T2^4 + 9*T1^2*T2^4 - 
     24*T1^3*T2^4 + 84*T1^4*T2^4 - 24*T1^5*T2^4 + 9*T1^6*T2^4 + 6*T1^7*T2^4 + 
     T1^8*T2^4 - 3*T1*T2^5 - 6*T1^2*T2^5 + 7*T1^3*T2^5 - 24*T1^4*T2^5 - 
     24*T1^5*T2^5 + 7*T1^6*T2^5 - 6*T1^7*T2^5 - 3*T1^8*T2^5 + 5*T1^2*T2^6 - 
     6*T1^3*T2^6 + 9*T1^4*T2^6 + 7*T1^5*T2^6 + 9*T1^6*T2^6 - 6*T1^7*T2^6 + 
     5*T1^8*T2^6 - 3*T1^3*T2^7 + 6*T1^4*T2^7 - 6*T1^5*T2^7 - 6*T1^6*T2^7 + 
     6*T1^7*T2^7 - 3*T1^8*T2^7 + T1^4*T2^8 - 3*T1^5*T2^8 + 5*T1^6*T2^8 - 
     3*T1^7*T2^8 + T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[8, 14] -> {-((2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4)/T^2), 
   (9 - 35*T1 + 47*T1^2 - 35*T1^3 + 9*T1^4 - 35*T2 + 102*T1*T2 - 48*T1^2*T2 - 
     48*T1^3*T2 + 102*T1^4*T2 - 35*T1^5*T2 + 47*T2^2 - 48*T1*T2^2 - 
     236*T1^2*T2^2 + 356*T1^3*T2^2 - 236*T1^4*T2^2 - 48*T1^5*T2^2 + 
     47*T1^6*T2^2 - 35*T2^3 - 48*T1*T2^3 + 356*T1^2*T2^3 - 168*T1^3*T2^3 - 
     168*T1^4*T2^3 + 356*T1^5*T2^3 - 48*T1^6*T2^3 - 35*T1^7*T2^3 + 9*T2^4 + 
     102*T1*T2^4 - 236*T1^2*T2^4 - 168*T1^3*T2^4 + 336*T1^4*T2^4 - 
     168*T1^5*T2^4 - 236*T1^6*T2^4 + 102*T1^7*T2^4 + 9*T1^8*T2^4 - 
     35*T1*T2^5 - 48*T1^2*T2^5 + 356*T1^3*T2^5 - 168*T1^4*T2^5 - 
     168*T1^5*T2^5 + 356*T1^6*T2^5 - 48*T1^7*T2^5 - 35*T1^8*T2^5 + 
     47*T1^2*T2^6 - 48*T1^3*T2^6 - 236*T1^4*T2^6 + 356*T1^5*T2^6 - 
     236*T1^6*T2^6 - 48*T1^7*T2^6 + 47*T1^8*T2^6 - 35*T1^3*T2^7 + 
     102*T1^4*T2^7 - 48*T1^5*T2^7 - 48*T1^6*T2^7 + 102*T1^7*T2^7 - 
     35*T1^8*T2^7 + 9*T1^4*T2^8 - 35*T1^5*T2^8 + 47*T1^6*T2^8 - 
     35*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[8, 15] -> {((1 - T + T^2)*(3 - 5*T + 3*T^2))/T^2, 
   -((57 - 148*T1 + 203*T1^2 - 148*T1^3 + 57*T1^4 - 148*T2 + 240*T1*T2 - 
      145*T1^2*T2 - 145*T1^3*T2 + 240*T1^4*T2 - 148*T1^5*T2 + 203*T2^2 - 
      145*T1*T2^2 - 111*T1^2*T2^2 + 375*T1^3*T2^2 - 111*T1^4*T2^2 - 
      145*T1^5*T2^2 + 203*T1^6*T2^2 - 148*T2^3 - 145*T1*T2^3 + 
      375*T1^2*T2^3 - 304*T1^3*T2^3 - 304*T1^4*T2^3 + 375*T1^5*T2^3 - 
      145*T1^6*T2^3 - 148*T1^7*T2^3 + 57*T2^4 + 240*T1*T2^4 - 111*T1^2*T2^4 - 
      304*T1^3*T2^4 + 756*T1^4*T2^4 - 304*T1^5*T2^4 - 111*T1^6*T2^4 + 
      240*T1^7*T2^4 + 57*T1^8*T2^4 - 148*T1*T2^5 - 145*T1^2*T2^5 + 
      375*T1^3*T2^5 - 304*T1^4*T2^5 - 304*T1^5*T2^5 + 375*T1^6*T2^5 - 
      145*T1^7*T2^5 - 148*T1^8*T2^5 + 203*T1^2*T2^6 - 145*T1^3*T2^6 - 
      111*T1^4*T2^6 + 375*T1^5*T2^6 - 111*T1^6*T2^6 - 145*T1^7*T2^6 + 
      203*T1^8*T2^6 - 148*T1^3*T2^7 + 240*T1^4*T2^7 - 145*T1^5*T2^7 - 
      145*T1^6*T2^7 + 240*T1^7*T2^7 - 148*T1^8*T2^7 + 57*T1^4*T2^8 - 
      148*T1^5*T2^8 + 203*T1^6*T2^8 - 148*T1^7*T2^8 + 57*T1^8*T2^8)/
     (T1^4*T2^4))}, Knot[8, 16] -> 
  {(1 - 4*T + 8*T^2 - 9*T^3 + 8*T^4 - 4*T^5 + T^6)/T^3, 
   -((1 - 4*T1 + 8*T1^2 - 9*T1^3 + 8*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 12*T1*T2 - 
      16*T1^2*T2 + 4*T1^3*T2 + 4*T1^4*T2 - 16*T1^5*T2 + 12*T1^6*T2 - 
      4*T1^7*T2 + 8*T2^2 - 16*T1*T2^2 + 6*T1^2*T2^2 + 30*T1^3*T2^2 - 
      26*T1^4*T2^2 + 30*T1^5*T2^2 + 6*T1^6*T2^2 - 16*T1^7*T2^2 + 
      8*T1^8*T2^2 - 9*T2^3 + 4*T1*T2^3 + 30*T1^2*T2^3 - 66*T1^3*T2^3 + 
      7*T1^4*T2^3 + 7*T1^5*T2^3 - 66*T1^6*T2^3 + 30*T1^7*T2^3 + 4*T1^8*T2^3 - 
      9*T1^9*T2^3 + 8*T2^4 + 4*T1*T2^4 - 26*T1^2*T2^4 + 7*T1^3*T2^4 + 
      106*T1^4*T2^4 - 90*T1^5*T2^4 + 106*T1^6*T2^4 + 7*T1^7*T2^4 - 
      26*T1^8*T2^4 + 4*T1^9*T2^4 + 8*T1^10*T2^4 - 4*T2^5 - 16*T1*T2^5 + 
      30*T1^2*T2^5 + 7*T1^3*T2^5 - 90*T1^4*T2^5 + 6*T1^5*T2^5 + 6*T1^6*T2^5 - 
      90*T1^7*T2^5 + 7*T1^8*T2^5 + 30*T1^9*T2^5 - 16*T1^10*T2^5 - 
      4*T1^11*T2^5 + T2^6 + 12*T1*T2^6 + 6*T1^2*T2^6 - 66*T1^3*T2^6 + 
      106*T1^4*T2^6 + 6*T1^5*T2^6 + 12*T1^6*T2^6 + 6*T1^7*T2^6 + 
      106*T1^8*T2^6 - 66*T1^9*T2^6 + 6*T1^10*T2^6 + 12*T1^11*T2^6 + 
      T1^12*T2^6 - 4*T1*T2^7 - 16*T1^2*T2^7 + 30*T1^3*T2^7 + 7*T1^4*T2^7 - 
      90*T1^5*T2^7 + 6*T1^6*T2^7 + 6*T1^7*T2^7 - 90*T1^8*T2^7 + 7*T1^9*T2^7 + 
      30*T1^10*T2^7 - 16*T1^11*T2^7 - 4*T1^12*T2^7 + 8*T1^2*T2^8 + 
      4*T1^3*T2^8 - 26*T1^4*T2^8 + 7*T1^5*T2^8 + 106*T1^6*T2^8 - 
      90*T1^7*T2^8 + 106*T1^8*T2^8 + 7*T1^9*T2^8 - 26*T1^10*T2^8 + 
      4*T1^11*T2^8 + 8*T1^12*T2^8 - 9*T1^3*T2^9 + 4*T1^4*T2^9 + 
      30*T1^5*T2^9 - 66*T1^6*T2^9 + 7*T1^7*T2^9 + 7*T1^8*T2^9 - 
      66*T1^9*T2^9 + 30*T1^10*T2^9 + 4*T1^11*T2^9 - 9*T1^12*T2^9 + 
      8*T1^4*T2^10 - 16*T1^5*T2^10 + 6*T1^6*T2^10 + 30*T1^7*T2^10 - 
      26*T1^8*T2^10 + 30*T1^9*T2^10 + 6*T1^10*T2^10 - 16*T1^11*T2^10 + 
      8*T1^12*T2^10 - 4*T1^5*T2^11 + 12*T1^6*T2^11 - 16*T1^7*T2^11 + 
      4*T1^8*T2^11 + 4*T1^9*T2^11 - 16*T1^10*T2^11 + 12*T1^11*T2^11 - 
      4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 8*T1^8*T2^12 - 
      9*T1^9*T2^12 + 8*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[8, 17] -> 
  {-((1 - 4*T + 8*T^2 - 11*T^3 + 8*T^4 - 4*T^5 + T^6)/T^3), 0}, 
 Knot[8, 18] -> {-(((1 - 3*T + T^2)*(1 - T + T^2)^2)/T^3), 0}, 
 Knot[8, 19] -> {((1 - T + T^2)*(1 - T^2 + T^4))/T^3, 
   (3 - 3*T1 + 3*T1^3 - 3*T1^5 + 3*T1^6 - 3*T2 + 3*T1^2*T2 - 3*T1^3*T2 - 
     3*T1^4*T2 + 3*T1^5*T2 - 3*T1^7*T2 + 3*T1*T2^2 - 3*T1^2*T2^2 + 
     3*T1^4*T2^2 - 3*T1^6*T2^2 + 3*T1^7*T2^2 + 3*T2^3 - 3*T1*T2^3 + 
     4*T1^3*T2^3 - 2*T1^4*T2^3 - 2*T1^5*T2^3 + 4*T1^6*T2^3 - 3*T1^8*T2^3 + 
     3*T1^9*T2^3 - 3*T1*T2^4 + 3*T1^2*T2^4 - 2*T1^3*T2^4 - T1^4*T2^4 + 
     T1^5*T2^4 - T1^6*T2^4 - 2*T1^7*T2^4 + 3*T1^8*T2^4 - 3*T1^9*T2^4 - 
     3*T2^5 + 3*T1*T2^5 - 2*T1^3*T2^5 + T1^4*T2^5 + T1^7*T2^5 - 2*T1^8*T2^5 + 
     3*T1^10*T2^5 - 3*T1^11*T2^5 + 3*T2^6 - 3*T1^2*T2^6 + 4*T1^3*T2^6 - 
     T1^4*T2^6 - T1^8*T2^6 + 4*T1^9*T2^6 - 3*T1^10*T2^6 + 3*T1^12*T2^6 - 
     3*T1*T2^7 + 3*T1^2*T2^7 - 2*T1^4*T2^7 + T1^5*T2^7 + T1^8*T2^7 - 
     2*T1^9*T2^7 + 3*T1^11*T2^7 - 3*T1^12*T2^7 - 3*T1^3*T2^8 + 3*T1^4*T2^8 - 
     2*T1^5*T2^8 - T1^6*T2^8 + T1^7*T2^8 - T1^8*T2^8 - 2*T1^9*T2^8 + 
     3*T1^10*T2^8 - 3*T1^11*T2^8 + 3*T1^3*T2^9 - 3*T1^4*T2^9 + 4*T1^6*T2^9 - 
     2*T1^7*T2^9 - 2*T1^8*T2^9 + 4*T1^9*T2^9 - 3*T1^11*T2^9 + 3*T1^12*T2^9 + 
     3*T1^5*T2^10 - 3*T1^6*T2^10 + 3*T1^8*T2^10 - 3*T1^10*T2^10 + 
     3*T1^11*T2^10 - 3*T1^5*T2^11 + 3*T1^7*T2^11 - 3*T1^8*T2^11 - 
     3*T1^9*T2^11 + 3*T1^10*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)/
    (T1^6*T2^6)}, Knot[8, 20] -> {(1 - T + T^2)^2/T^2, 
   (-2*(3 - 4*T1 + 3*T1^2 - 4*T2 + T1*T2 + T1^2*T2 - 4*T1^3*T2 + 3*T2^2 + 
      T1*T2^2 + T1^3*T2^2 + 3*T1^4*T2^2 - 4*T1*T2^3 + T1^2*T2^3 + T1^3*T2^3 - 
      4*T1^4*T2^3 + 3*T1^2*T2^4 - 4*T1^3*T2^4 + 3*T1^4*T2^4))/(T1^2*T2^2)}, 
 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 + 12*T1*T2 - 3*T1^2*T2 - 
     3*T1^3*T2 + 12*T1^4*T2 - 4*T1^5*T2 + 5*T2^2 - 3*T1*T2^2 - 39*T1^2*T2^2 + 
     41*T1^3*T2^2 - 39*T1^4*T2^2 - 3*T1^5*T2^2 + 5*T1^6*T2^2 - 4*T2^3 - 
     3*T1*T2^3 + 41*T1^2*T2^3 - 4*T1^3*T2^3 - 4*T1^4*T2^3 + 41*T1^5*T2^3 - 
     3*T1^6*T2^3 - 4*T1^7*T2^3 + T2^4 + 12*T1*T2^4 - 39*T1^2*T2^4 - 
     4*T1^3*T2^4 - 12*T1^4*T2^4 - 4*T1^5*T2^4 - 39*T1^6*T2^4 + 12*T1^7*T2^4 + 
     T1^8*T2^4 - 4*T1*T2^5 - 3*T1^2*T2^5 + 41*T1^3*T2^5 - 4*T1^4*T2^5 - 
     4*T1^5*T2^5 + 41*T1^6*T2^5 - 3*T1^7*T2^5 - 4*T1^8*T2^5 + 5*T1^2*T2^6 - 
     3*T1^3*T2^6 - 39*T1^4*T2^6 + 41*T1^5*T2^6 - 39*T1^6*T2^6 - 3*T1^7*T2^6 + 
     5*T1^8*T2^6 - 4*T1^3*T2^7 + 12*T1^4*T2^7 - 3*T1^5*T2^7 - 3*T1^6*T2^7 + 
     12*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)/(T1^4*T2^4)}, 
 Knot[9, 1] -> {((1 - T + T^2)*(1 - T^3 + T^6))/T^4, 
   -((4 - 4*T1 + 4*T1^2 - 4*T1^3 + 4*T1^4 - 4*T1^5 + 4*T1^6 - 4*T1^7 + 
      4*T1^8 - 4*T2 - 4*T1^9*T2 + 4*T2^2 + 3*T1^2*T2^2 - 3*T1^3*T2^2 + 
      3*T1^4*T2^2 - 3*T1^5*T2^2 + 3*T1^6*T2^2 - 3*T1^7*T2^2 + 3*T1^8*T2^2 + 
      4*T1^10*T2^2 - 4*T2^3 - 3*T1^2*T2^3 - 3*T1^9*T2^3 - 4*T1^11*T2^3 + 
      4*T2^4 + 3*T1^2*T2^4 + 2*T1^4*T2^4 - 2*T1^5*T2^4 + 2*T1^6*T2^4 - 
      2*T1^7*T2^4 + 2*T1^8*T2^4 + 3*T1^10*T2^4 + 4*T1^12*T2^4 - 4*T2^5 - 
      3*T1^2*T2^5 - 2*T1^4*T2^5 - 2*T1^9*T2^5 - 3*T1^11*T2^5 - 4*T1^13*T2^5 + 
      4*T2^6 + 3*T1^2*T2^6 + 2*T1^4*T2^6 + T1^6*T2^6 - T1^7*T2^6 + 
      T1^8*T2^6 + 2*T1^10*T2^6 + 3*T1^12*T2^6 + 4*T1^14*T2^6 - 4*T2^7 - 
      3*T1^2*T2^7 - 2*T1^4*T2^7 - T1^6*T2^7 - T1^9*T2^7 - 2*T1^11*T2^7 - 
      3*T1^13*T2^7 - 4*T1^15*T2^7 + 4*T2^8 + 3*T1^2*T2^8 + 2*T1^4*T2^8 + 
      T1^6*T2^8 + T1^10*T2^8 + 2*T1^12*T2^8 + 3*T1^14*T2^8 + 4*T1^16*T2^8 - 
      4*T1*T2^9 - 3*T1^3*T2^9 - 2*T1^5*T2^9 - T1^7*T2^9 - T1^10*T2^9 - 
      2*T1^12*T2^9 - 3*T1^14*T2^9 - 4*T1^16*T2^9 + 4*T1^2*T2^10 + 
      3*T1^4*T2^10 + 2*T1^6*T2^10 + T1^8*T2^10 - T1^9*T2^10 + T1^10*T2^10 + 
      2*T1^12*T2^10 + 3*T1^14*T2^10 + 4*T1^16*T2^10 - 4*T1^3*T2^11 - 
      3*T1^5*T2^11 - 2*T1^7*T2^11 - 2*T1^12*T2^11 - 3*T1^14*T2^11 - 
      4*T1^16*T2^11 + 4*T1^4*T2^12 + 3*T1^6*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 + 
      3*T1^14*T2^12 + 4*T1^16*T2^12 - 4*T1^5*T2^13 - 3*T1^7*T2^13 - 
      3*T1^14*T2^13 - 4*T1^16*T2^13 + 4*T1^6*T2^14 + 3*T1^8*T2^14 - 
      3*T1^9*T2^14 + 3*T1^10*T2^14 - 3*T1^11*T2^14 + 3*T1^12*T2^14 - 
      3*T1^13*T2^14 + 3*T1^14*T2^14 + 4*T1^16*T2^14 - 4*T1^7*T2^15 - 
      4*T1^16*T2^15 + 4*T1^8*T2^16 - 4*T1^9*T2^16 + 4*T1^10*T2^16 - 
      4*T1^11*T2^16 + 4*T1^12*T2^16 - 4*T1^13*T2^16 + 4*T1^14*T2^16 - 
      4*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[9, 2] -> {(4 - 7*T + 4*T^2)/T, 
   (-10*(10 - 17*T1 + 10*T1^2 - 17*T2 + 12*T1*T2 + 12*T1^2*T2 - 17*T1^3*T2 + 
      10*T2^2 + 12*T1*T2^2 - 30*T1^2*T2^2 + 12*T1^3*T2^2 + 10*T1^4*T2^2 - 
      17*T1*T2^3 + 12*T1^2*T2^3 + 12*T1^3*T2^3 - 17*T1^4*T2^3 + 
      10*T1^2*T2^4 - 17*T1^3*T2^4 + 10*T1^4*T2^4))/(T1^2*T2^2)}, 
 Knot[9, 3] -> {(2 - 3*T + 3*T^2 - 3*T^3 + 3*T^4 - 3*T^5 + 2*T^6)/T^3, 
   (25 - 37*T1 + 37*T1^2 - 37*T1^3 + 37*T1^4 - 37*T1^5 + 25*T1^6 - 37*T2 + 
     18*T1*T2 + 18*T1^6*T2 - 37*T1^7*T2 + 37*T2^2 + 2*T1^2*T2^2 - 
     16*T1^3*T2^2 + 16*T1^4*T2^2 - 16*T1^5*T2^2 + 2*T1^6*T2^2 + 
     37*T1^8*T2^2 - 37*T2^3 - 16*T1^2*T2^3 + 12*T1^3*T2^3 + 12*T1^6*T2^3 - 
     16*T1^7*T2^3 - 37*T1^9*T2^3 + 37*T2^4 + 16*T1^2*T2^4 - T1^4*T2^4 - 
     7*T1^5*T2^4 - T1^6*T2^4 + 16*T1^8*T2^4 + 37*T1^10*T2^4 - 37*T2^5 - 
     16*T1^2*T2^5 - 7*T1^4*T2^5 + 6*T1^5*T2^5 + 6*T1^6*T2^5 - 7*T1^7*T2^5 - 
     16*T1^9*T2^5 - 37*T1^11*T2^5 + 25*T2^6 + 18*T1*T2^6 + 2*T1^2*T2^6 + 
     12*T1^3*T2^6 - T1^4*T2^6 + 6*T1^5*T2^6 - 12*T1^6*T2^6 + 6*T1^7*T2^6 - 
     T1^8*T2^6 + 12*T1^9*T2^6 + 2*T1^10*T2^6 + 18*T1^11*T2^6 + 
     25*T1^12*T2^6 - 37*T1*T2^7 - 16*T1^3*T2^7 - 7*T1^5*T2^7 + 6*T1^6*T2^7 + 
     6*T1^7*T2^7 - 7*T1^8*T2^7 - 16*T1^10*T2^7 - 37*T1^12*T2^7 + 
     37*T1^2*T2^8 + 16*T1^4*T2^8 - T1^6*T2^8 - 7*T1^7*T2^8 - T1^8*T2^8 + 
     16*T1^10*T2^8 + 37*T1^12*T2^8 - 37*T1^3*T2^9 - 16*T1^5*T2^9 + 
     12*T1^6*T2^9 + 12*T1^9*T2^9 - 16*T1^10*T2^9 - 37*T1^12*T2^9 + 
     37*T1^4*T2^10 + 2*T1^6*T2^10 - 16*T1^7*T2^10 + 16*T1^8*T2^10 - 
     16*T1^9*T2^10 + 2*T1^10*T2^10 + 37*T1^12*T2^10 - 37*T1^5*T2^11 + 
     18*T1^6*T2^11 + 18*T1^11*T2^11 - 37*T1^12*T2^11 + 25*T1^6*T2^12 - 
     37*T1^7*T2^12 + 37*T1^8*T2^12 - 37*T1^9*T2^12 + 37*T1^10*T2^12 - 
     37*T1^11*T2^12 + 25*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[9, 4] -> {(3 - 5*T + 5*T^2 - 5*T^3 + 3*T^4)/T^2, 
   -((63 - 103*T1 + 103*T1^2 - 103*T1^3 + 63*T1^4 - 103*T2 + 66*T1*T2 + 
      66*T1^4*T2 - 103*T1^5*T2 + 103*T2^2 - 33*T1^2*T2^2 - 15*T1^3*T2^2 - 
      33*T1^4*T2^2 + 103*T1^6*T2^2 - 103*T2^3 - 15*T1^2*T2^3 + 36*T1^3*T2^3 + 
      36*T1^4*T2^3 - 15*T1^5*T2^3 - 103*T1^7*T2^3 + 63*T2^4 + 66*T1*T2^4 - 
      33*T1^2*T2^4 + 36*T1^3*T2^4 - 84*T1^4*T2^4 + 36*T1^5*T2^4 - 
      33*T1^6*T2^4 + 66*T1^7*T2^4 + 63*T1^8*T2^4 - 103*T1*T2^5 - 
      15*T1^3*T2^5 + 36*T1^4*T2^5 + 36*T1^5*T2^5 - 15*T1^6*T2^5 - 
      103*T1^8*T2^5 + 103*T1^2*T2^6 - 33*T1^4*T2^6 - 15*T1^5*T2^6 - 
      33*T1^6*T2^6 + 103*T1^8*T2^6 - 103*T1^3*T2^7 + 66*T1^4*T2^7 + 
      66*T1^7*T2^7 - 103*T1^8*T2^7 + 63*T1^4*T2^8 - 103*T1^5*T2^8 + 
      103*T1^6*T2^8 - 103*T1^7*T2^8 + 63*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[9, 5] -> {(6 - 11*T + 6*T^2)/T, 
   (5*(63 - 113*T1 + 63*T1^2 - 113*T2 + 90*T1*T2 + 90*T1^2*T2 - 113*T1^3*T2 + 
      63*T2^2 + 90*T1*T2^2 - 240*T1^2*T2^2 + 90*T1^3*T2^2 + 63*T1^4*T2^2 - 
      113*T1*T2^3 + 90*T1^2*T2^3 + 90*T1^3*T2^3 - 113*T1^4*T2^3 + 
      63*T1^2*T2^4 - 113*T1^3*T2^4 + 63*T1^4*T2^4))/(T1^2*T2^2)}, 
 Knot[9, 6] -> {((1 - T + T^2)*(2 - 2*T + T^2 - 2*T^3 + 2*T^4))/T^3, 
   -((25 - 49*T1 + 61*T1^2 - 61*T1^3 + 61*T1^4 - 49*T1^5 + 25*T1^6 - 49*T2 + 
      48*T1*T2 - 24*T1^2*T2 - 24*T1^5*T2 + 48*T1^6*T2 - 49*T1^7*T2 + 
      61*T2^2 - 24*T1*T2^2 + 10*T1^2*T2^2 - 14*T1^3*T2^2 + 40*T1^4*T2^2 - 
      14*T1^5*T2^2 + 10*T1^6*T2^2 - 24*T1^7*T2^2 + 61*T1^8*T2^2 - 61*T2^3 - 
      14*T1^2*T2^3 + 14*T1^3*T2^3 - 22*T1^4*T2^3 - 22*T1^5*T2^3 + 
      14*T1^6*T2^3 - 14*T1^7*T2^3 - 61*T1^9*T2^3 + 61*T2^4 + 40*T1^2*T2^4 - 
      22*T1^3*T2^4 + 31*T1^4*T2^4 - 3*T1^5*T2^4 + 31*T1^6*T2^4 - 
      22*T1^7*T2^4 + 40*T1^8*T2^4 + 61*T1^10*T2^4 - 49*T2^5 - 24*T1*T2^5 - 
      14*T1^2*T2^5 - 22*T1^3*T2^5 - 3*T1^4*T2^5 - 14*T1^5*T2^5 - 
      14*T1^6*T2^5 - 3*T1^7*T2^5 - 22*T1^8*T2^5 - 14*T1^9*T2^5 - 
      24*T1^10*T2^5 - 49*T1^11*T2^5 + 25*T2^6 + 48*T1*T2^6 + 10*T1^2*T2^6 + 
      14*T1^3*T2^6 + 31*T1^4*T2^6 - 14*T1^5*T2^6 + 36*T1^6*T2^6 - 
      14*T1^7*T2^6 + 31*T1^8*T2^6 + 14*T1^9*T2^6 + 10*T1^10*T2^6 + 
      48*T1^11*T2^6 + 25*T1^12*T2^6 - 49*T1*T2^7 - 24*T1^2*T2^7 - 
      14*T1^3*T2^7 - 22*T1^4*T2^7 - 3*T1^5*T2^7 - 14*T1^6*T2^7 - 
      14*T1^7*T2^7 - 3*T1^8*T2^7 - 22*T1^9*T2^7 - 14*T1^10*T2^7 - 
      24*T1^11*T2^7 - 49*T1^12*T2^7 + 61*T1^2*T2^8 + 40*T1^4*T2^8 - 
      22*T1^5*T2^8 + 31*T1^6*T2^8 - 3*T1^7*T2^8 + 31*T1^8*T2^8 - 
      22*T1^9*T2^8 + 40*T1^10*T2^8 + 61*T1^12*T2^8 - 61*T1^3*T2^9 - 
      14*T1^5*T2^9 + 14*T1^6*T2^9 - 22*T1^7*T2^9 - 22*T1^8*T2^9 + 
      14*T1^9*T2^9 - 14*T1^10*T2^9 - 61*T1^12*T2^9 + 61*T1^4*T2^10 - 
      24*T1^5*T2^10 + 10*T1^6*T2^10 - 14*T1^7*T2^10 + 40*T1^8*T2^10 - 
      14*T1^9*T2^10 + 10*T1^10*T2^10 - 24*T1^11*T2^10 + 61*T1^12*T2^10 - 
      49*T1^5*T2^11 + 48*T1^6*T2^11 - 24*T1^7*T2^11 - 24*T1^10*T2^11 + 
      48*T1^11*T2^11 - 49*T1^12*T2^11 + 25*T1^6*T2^12 - 49*T1^7*T2^12 + 
      61*T1^8*T2^12 - 61*T1^9*T2^12 + 61*T1^10*T2^12 - 49*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[9, 7] -> {(3 - 7*T + 9*T^2 - 7*T^3 + 3*T^4)/T^2, 
   -((63 - 143*T1 + 183*T1^2 - 143*T1^3 + 63*T1^4 - 143*T2 + 184*T1*T2 - 
      92*T1^2*T2 - 92*T1^3*T2 + 184*T1^4*T2 - 143*T1^5*T2 + 183*T2^2 - 
      92*T1*T2^2 - 60*T1^2*T2^2 + 172*T1^3*T2^2 - 60*T1^4*T2^2 - 
      92*T1^5*T2^2 + 183*T1^6*T2^2 - 143*T2^3 - 92*T1*T2^3 + 172*T1^2*T2^3 - 
      118*T1^3*T2^3 - 118*T1^4*T2^3 + 172*T1^5*T2^3 - 92*T1^6*T2^3 - 
      143*T1^7*T2^3 + 63*T2^4 + 184*T1*T2^4 - 60*T1^2*T2^4 - 118*T1^3*T2^4 + 
      276*T1^4*T2^4 - 118*T1^5*T2^4 - 60*T1^6*T2^4 + 184*T1^7*T2^4 + 
      63*T1^8*T2^4 - 143*T1*T2^5 - 92*T1^2*T2^5 + 172*T1^3*T2^5 - 
      118*T1^4*T2^5 - 118*T1^5*T2^5 + 172*T1^6*T2^5 - 92*T1^7*T2^5 - 
      143*T1^8*T2^5 + 183*T1^2*T2^6 - 92*T1^3*T2^6 - 60*T1^4*T2^6 + 
      172*T1^5*T2^6 - 60*T1^6*T2^6 - 92*T1^7*T2^6 + 183*T1^8*T2^6 - 
      143*T1^3*T2^7 + 184*T1^4*T2^7 - 92*T1^5*T2^7 - 92*T1^6*T2^7 + 
      184*T1^7*T2^7 - 143*T1^8*T2^7 + 63*T1^4*T2^8 - 143*T1^5*T2^8 + 
      183*T1^6*T2^8 - 143*T1^7*T2^8 + 63*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[9, 8] -> {-((2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4)/T^2), 
   (7 - 27*T1 + 37*T1^2 - 27*T1^3 + 7*T1^4 - 27*T2 + 76*T1*T2 - 38*T1^2*T2 - 
     38*T1^3*T2 + 76*T1^4*T2 - 27*T1^5*T2 + 37*T2^2 - 38*T1*T2^2 - 
     160*T1^2*T2^2 + 258*T1^3*T2^2 - 160*T1^4*T2^2 - 38*T1^5*T2^2 + 
     37*T1^6*T2^2 - 27*T2^3 - 38*T1*T2^3 + 258*T1^2*T2^3 - 142*T1^3*T2^3 - 
     142*T1^4*T2^3 + 258*T1^5*T2^3 - 38*T1^6*T2^3 - 27*T1^7*T2^3 + 7*T2^4 + 
     76*T1*T2^4 - 160*T1^2*T2^4 - 142*T1^3*T2^4 + 324*T1^4*T2^4 - 
     142*T1^5*T2^4 - 160*T1^6*T2^4 + 76*T1^7*T2^4 + 7*T1^8*T2^4 - 
     27*T1*T2^5 - 38*T1^2*T2^5 + 258*T1^3*T2^5 - 142*T1^4*T2^5 - 
     142*T1^5*T2^5 + 258*T1^6*T2^5 - 38*T1^7*T2^5 - 27*T1^8*T2^5 + 
     37*T1^2*T2^6 - 38*T1^3*T2^6 - 160*T1^4*T2^6 + 258*T1^5*T2^6 - 
     160*T1^6*T2^6 - 38*T1^7*T2^6 + 37*T1^8*T2^6 - 27*T1^3*T2^7 + 
     76*T1^4*T2^7 - 38*T1^5*T2^7 - 38*T1^6*T2^7 + 76*T1^7*T2^7 - 
     27*T1^8*T2^7 + 7*T1^4*T2^8 - 27*T1^5*T2^8 + 37*T1^6*T2^8 - 
     27*T1^7*T2^8 + 7*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[9, 9] -> {(2 - 4*T + 6*T^2 - 7*T^3 + 6*T^4 - 4*T^5 + 2*T^6)/T^3, 
   -((25 - 49*T1 + 73*T1^2 - 85*T1^3 + 73*T1^4 - 49*T1^5 + 25*T1^6 - 49*T2 + 
      48*T1*T2 - 48*T1^2*T2 + 24*T1^3*T2 + 24*T1^4*T2 - 48*T1^5*T2 + 
      48*T1^6*T2 - 49*T1^7*T2 + 73*T2^2 - 48*T1*T2^2 + 82*T1^2*T2^2 - 
      82*T1^3*T2^2 + 66*T1^4*T2^2 - 82*T1^5*T2^2 + 82*T1^6*T2^2 - 
      48*T1^7*T2^2 + 73*T1^8*T2^2 - 85*T2^3 + 24*T1*T2^3 - 82*T1^2*T2^3 + 
      44*T1^3*T2^3 - 4*T1^4*T2^3 - 4*T1^5*T2^3 + 44*T1^6*T2^3 - 
      82*T1^7*T2^3 + 24*T1^8*T2^3 - 85*T1^9*T2^3 + 73*T2^4 + 24*T1*T2^4 + 
      66*T1^2*T2^4 - 4*T1^3*T2^4 + 3*T1^4*T2^4 - 27*T1^5*T2^4 + 3*T1^6*T2^4 - 
      4*T1^7*T2^4 + 66*T1^8*T2^4 + 24*T1^9*T2^4 + 73*T1^10*T2^4 - 49*T2^5 - 
      48*T1*T2^5 - 82*T1^2*T2^5 - 4*T1^3*T2^5 - 27*T1^4*T2^5 + 28*T1^5*T2^5 + 
      28*T1^6*T2^5 - 27*T1^7*T2^5 - 4*T1^8*T2^5 - 82*T1^9*T2^5 - 
      48*T1^10*T2^5 - 49*T1^11*T2^5 + 25*T2^6 + 48*T1*T2^6 + 82*T1^2*T2^6 + 
      44*T1^3*T2^6 + 3*T1^4*T2^6 + 28*T1^5*T2^6 - 72*T1^6*T2^6 + 
      28*T1^7*T2^6 + 3*T1^8*T2^6 + 44*T1^9*T2^6 + 82*T1^10*T2^6 + 
      48*T1^11*T2^6 + 25*T1^12*T2^6 - 49*T1*T2^7 - 48*T1^2*T2^7 - 
      82*T1^3*T2^7 - 4*T1^4*T2^7 - 27*T1^5*T2^7 + 28*T1^6*T2^7 + 
      28*T1^7*T2^7 - 27*T1^8*T2^7 - 4*T1^9*T2^7 - 82*T1^10*T2^7 - 
      48*T1^11*T2^7 - 49*T1^12*T2^7 + 73*T1^2*T2^8 + 24*T1^3*T2^8 + 
      66*T1^4*T2^8 - 4*T1^5*T2^8 + 3*T1^6*T2^8 - 27*T1^7*T2^8 + 3*T1^8*T2^8 - 
      4*T1^9*T2^8 + 66*T1^10*T2^8 + 24*T1^11*T2^8 + 73*T1^12*T2^8 - 
      85*T1^3*T2^9 + 24*T1^4*T2^9 - 82*T1^5*T2^9 + 44*T1^6*T2^9 - 
      4*T1^7*T2^9 - 4*T1^8*T2^9 + 44*T1^9*T2^9 - 82*T1^10*T2^9 + 
      24*T1^11*T2^9 - 85*T1^12*T2^9 + 73*T1^4*T2^10 - 48*T1^5*T2^10 + 
      82*T1^6*T2^10 - 82*T1^7*T2^10 + 66*T1^8*T2^10 - 82*T1^9*T2^10 + 
      82*T1^10*T2^10 - 48*T1^11*T2^10 + 73*T1^12*T2^10 - 49*T1^5*T2^11 + 
      48*T1^6*T2^11 - 48*T1^7*T2^11 + 24*T1^8*T2^11 + 24*T1^9*T2^11 - 
      48*T1^10*T2^11 + 48*T1^11*T2^11 - 49*T1^12*T2^11 + 25*T1^6*T2^12 - 
      49*T1^7*T2^12 + 73*T1^8*T2^12 - 85*T1^9*T2^12 + 73*T1^10*T2^12 - 
      49*T1^11*T2^12 + 25*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[9, 10] -> {(4 - 8*T + 9*T^2 - 8*T^3 + 4*T^4)/T^2, 
   (2*(72 - 140*T1 + 156*T1^2 - 140*T1^3 + 72*T1^4 - 140*T2 + 134*T1*T2 - 
      32*T1^2*T2 - 32*T1^3*T2 + 134*T1^4*T2 - 140*T1^5*T2 + 156*T2^2 - 
      32*T1*T2^2 - 73*T1^2*T2^2 + 47*T1^3*T2^2 - 73*T1^4*T2^2 - 
      32*T1^5*T2^2 + 156*T1^6*T2^2 - 140*T2^3 - 32*T1*T2^3 + 47*T1^2*T2^3 + 
      20*T1^3*T2^3 + 20*T1^4*T2^3 + 47*T1^5*T2^3 - 32*T1^6*T2^3 - 
      140*T1^7*T2^3 + 72*T2^4 + 134*T1*T2^4 - 73*T1^2*T2^4 + 20*T1^3*T2^4 - 
      72*T1^4*T2^4 + 20*T1^5*T2^4 - 73*T1^6*T2^4 + 134*T1^7*T2^4 + 
      72*T1^8*T2^4 - 140*T1*T2^5 - 32*T1^2*T2^5 + 47*T1^3*T2^5 + 
      20*T1^4*T2^5 + 20*T1^5*T2^5 + 47*T1^6*T2^5 - 32*T1^7*T2^5 - 
      140*T1^8*T2^5 + 156*T1^2*T2^6 - 32*T1^3*T2^6 - 73*T1^4*T2^6 + 
      47*T1^5*T2^6 - 73*T1^6*T2^6 - 32*T1^7*T2^6 + 156*T1^8*T2^6 - 
      140*T1^3*T2^7 + 134*T1^4*T2^7 - 32*T1^5*T2^7 - 32*T1^6*T2^7 + 
      134*T1^7*T2^7 - 140*T1^8*T2^7 + 72*T1^4*T2^8 - 140*T1^5*T2^8 + 
      156*T1^6*T2^8 - 140*T1^7*T2^8 + 72*T1^8*T2^8))/(T1^4*T2^4)}, 
 Knot[9, 11] -> {-((1 - 5*T + 7*T^2 - 7*T^3 + 7*T^4 - 5*T^5 + T^6)/T^3), 
   -((2 - 10*T1 + 14*T1^2 - 14*T1^3 + 14*T1^4 - 10*T1^5 + 2*T1^6 - 10*T2 + 
      40*T1*T2 - 20*T1^2*T2 - 20*T1^5*T2 + 40*T1^6*T2 - 10*T1^7*T2 + 
      14*T2^2 - 20*T1*T2^2 - 133*T1^2*T2^2 + 177*T1^3*T2^2 - 151*T1^4*T2^2 + 
      177*T1^5*T2^2 - 133*T1^6*T2^2 - 20*T1^7*T2^2 + 14*T1^8*T2^2 - 14*T2^3 + 
      177*T1^2*T2^3 - 70*T1^3*T2^3 - 18*T1^4*T2^3 - 18*T1^5*T2^3 - 
      70*T1^6*T2^3 + 177*T1^7*T2^3 - 14*T1^9*T2^3 + 14*T2^4 - 151*T1^2*T2^4 - 
      18*T1^3*T2^4 + 27*T1^4*T2^4 + 45*T1^5*T2^4 + 27*T1^6*T2^4 - 
      18*T1^7*T2^4 - 151*T1^8*T2^4 + 14*T1^10*T2^4 - 10*T2^5 - 20*T1*T2^5 + 
      177*T1^2*T2^5 - 18*T1^3*T2^5 + 45*T1^4*T2^5 - 50*T1^5*T2^5 - 
      50*T1^6*T2^5 + 45*T1^7*T2^5 - 18*T1^8*T2^5 + 177*T1^9*T2^5 - 
      20*T1^10*T2^5 - 10*T1^11*T2^5 + 2*T2^6 + 40*T1*T2^6 - 133*T1^2*T2^6 - 
      70*T1^3*T2^6 + 27*T1^4*T2^6 - 50*T1^5*T2^6 + 108*T1^6*T2^6 - 
      50*T1^7*T2^6 + 27*T1^8*T2^6 - 70*T1^9*T2^6 - 133*T1^10*T2^6 + 
      40*T1^11*T2^6 + 2*T1^12*T2^6 - 10*T1*T2^7 - 20*T1^2*T2^7 + 
      177*T1^3*T2^7 - 18*T1^4*T2^7 + 45*T1^5*T2^7 - 50*T1^6*T2^7 - 
      50*T1^7*T2^7 + 45*T1^8*T2^7 - 18*T1^9*T2^7 + 177*T1^10*T2^7 - 
      20*T1^11*T2^7 - 10*T1^12*T2^7 + 14*T1^2*T2^8 - 151*T1^4*T2^8 - 
      18*T1^5*T2^8 + 27*T1^6*T2^8 + 45*T1^7*T2^8 + 27*T1^8*T2^8 - 
      18*T1^9*T2^8 - 151*T1^10*T2^8 + 14*T1^12*T2^8 - 14*T1^3*T2^9 + 
      177*T1^5*T2^9 - 70*T1^6*T2^9 - 18*T1^7*T2^9 - 18*T1^8*T2^9 - 
      70*T1^9*T2^9 + 177*T1^10*T2^9 - 14*T1^12*T2^9 + 14*T1^4*T2^10 - 
      20*T1^5*T2^10 - 133*T1^6*T2^10 + 177*T1^7*T2^10 - 151*T1^8*T2^10 + 
      177*T1^9*T2^10 - 133*T1^10*T2^10 - 20*T1^11*T2^10 + 14*T1^12*T2^10 - 
      10*T1^5*T2^11 + 40*T1^6*T2^11 - 20*T1^7*T2^11 - 20*T1^10*T2^11 + 
      40*T1^11*T2^11 - 10*T1^12*T2^11 + 2*T1^6*T2^12 - 10*T1^7*T2^12 + 
      14*T1^8*T2^12 - 14*T1^9*T2^12 + 14*T1^10*T2^12 - 10*T1^11*T2^12 + 
      2*T1^12*T2^12)/(T1^6*T2^6))}, Knot[9, 12] -> 
  {-(((1 - 3*T + T^2)*(2 - 3*T + 2*T^2))/T^2), 
   (9 - 41*T1 + 59*T1^2 - 41*T1^3 + 9*T1^4 - 41*T2 + 146*T1*T2 - 82*T1^2*T2 - 
     82*T1^3*T2 + 146*T1^4*T2 - 41*T1^5*T2 + 59*T2^2 - 82*T1*T2^2 - 
     391*T1^2*T2^2 + 667*T1^3*T2^2 - 391*T1^4*T2^2 - 82*T1^5*T2^2 + 
     59*T1^6*T2^2 - 41*T2^3 - 82*T1*T2^3 + 667*T1^2*T2^3 - 392*T1^3*T2^3 - 
     392*T1^4*T2^3 + 667*T1^5*T2^3 - 82*T1^6*T2^3 - 41*T1^7*T2^3 + 9*T2^4 + 
     146*T1*T2^4 - 391*T1^2*T2^4 - 392*T1^3*T2^4 + 888*T1^4*T2^4 - 
     392*T1^5*T2^4 - 391*T1^6*T2^4 + 146*T1^7*T2^4 + 9*T1^8*T2^4 - 
     41*T1*T2^5 - 82*T1^2*T2^5 + 667*T1^3*T2^5 - 392*T1^4*T2^5 - 
     392*T1^5*T2^5 + 667*T1^6*T2^5 - 82*T1^7*T2^5 - 41*T1^8*T2^5 + 
     59*T1^2*T2^6 - 82*T1^3*T2^6 - 391*T1^4*T2^6 + 667*T1^5*T2^6 - 
     391*T1^6*T2^6 - 82*T1^7*T2^6 + 59*T1^8*T2^6 - 41*T1^3*T2^7 + 
     146*T1^4*T2^7 - 82*T1^5*T2^7 - 82*T1^6*T2^7 + 146*T1^7*T2^7 - 
     41*T1^8*T2^7 + 9*T1^4*T2^8 - 41*T1^5*T2^8 + 59*T1^6*T2^8 - 
     41*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[9, 13] -> {(4 - 9*T + 11*T^2 - 9*T^3 + 4*T^4)/T^2, 
   (2*(72 - 158*T1 + 192*T1^2 - 158*T1^3 + 72*T1^4 - 158*T2 + 191*T1*T2 - 
      76*T1^2*T2 - 76*T1^3*T2 + 191*T1^4*T2 - 158*T1^5*T2 + 192*T2^2 - 
      76*T1*T2^2 - 97*T1^2*T2^2 + 151*T1^3*T2^2 - 97*T1^4*T2^2 - 
      76*T1^5*T2^2 + 192*T1^6*T2^2 - 158*T2^3 - 76*T1*T2^3 + 151*T1^2*T2^3 - 
      59*T1^3*T2^3 - 59*T1^4*T2^3 + 151*T1^5*T2^3 - 76*T1^6*T2^3 - 
      158*T1^7*T2^3 + 72*T2^4 + 191*T1*T2^4 - 97*T1^2*T2^4 - 59*T1^3*T2^4 + 
      108*T1^4*T2^4 - 59*T1^5*T2^4 - 97*T1^6*T2^4 + 191*T1^7*T2^4 + 
      72*T1^8*T2^4 - 158*T1*T2^5 - 76*T1^2*T2^5 + 151*T1^3*T2^5 - 
      59*T1^4*T2^5 - 59*T1^5*T2^5 + 151*T1^6*T2^5 - 76*T1^7*T2^5 - 
      158*T1^8*T2^5 + 192*T1^2*T2^6 - 76*T1^3*T2^6 - 97*T1^4*T2^6 + 
      151*T1^5*T2^6 - 97*T1^6*T2^6 - 76*T1^7*T2^6 + 192*T1^8*T2^6 - 
      158*T1^3*T2^7 + 191*T1^4*T2^7 - 76*T1^5*T2^7 - 76*T1^6*T2^7 + 
      191*T1^7*T2^7 - 158*T1^8*T2^7 + 72*T1^4*T2^8 - 158*T1^5*T2^8 + 
      192*T1^6*T2^8 - 158*T1^7*T2^8 + 72*T1^8*T2^8))/(T1^4*T2^4)}, 
 Knot[9, 14] -> {(2 - 9*T + 15*T^2 - 9*T^3 + 2*T^4)/T^2, 
   (1 - 5*T1 + 9*T1^2 - 5*T1^3 + T1^4 - 5*T2 + 20*T1*T2 - 20*T1^2*T2 - 
     20*T1^3*T2 + 20*T1^4*T2 - 5*T1^5*T2 + 9*T2^2 - 20*T1*T2^2 - 
     36*T1^2*T2^2 + 146*T1^3*T2^2 - 36*T1^4*T2^2 - 20*T1^5*T2^2 + 
     9*T1^6*T2^2 - 5*T2^3 - 20*T1*T2^3 + 146*T1^2*T2^3 - 190*T1^3*T2^3 - 
     190*T1^4*T2^3 + 146*T1^5*T2^3 - 20*T1^6*T2^3 - 5*T1^7*T2^3 + T2^4 + 
     20*T1*T2^4 - 36*T1^2*T2^4 - 190*T1^3*T2^4 + 600*T1^4*T2^4 - 
     190*T1^5*T2^4 - 36*T1^6*T2^4 + 20*T1^7*T2^4 + T1^8*T2^4 - 5*T1*T2^5 - 
     20*T1^2*T2^5 + 146*T1^3*T2^5 - 190*T1^4*T2^5 - 190*T1^5*T2^5 + 
     146*T1^6*T2^5 - 20*T1^7*T2^5 - 5*T1^8*T2^5 + 9*T1^2*T2^6 - 
     20*T1^3*T2^6 - 36*T1^4*T2^6 + 146*T1^5*T2^6 - 36*T1^6*T2^6 - 
     20*T1^7*T2^6 + 9*T1^8*T2^6 - 5*T1^3*T2^7 + 20*T1^4*T2^7 - 20*T1^5*T2^7 - 
     20*T1^6*T2^7 + 20*T1^7*T2^7 - 5*T1^8*T2^7 + T1^4*T2^8 - 5*T1^5*T2^8 + 
     9*T1^6*T2^8 - 5*T1^7*T2^8 + T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[9, 15] -> {-((2 - 10*T + 15*T^2 - 10*T^3 + 2*T^4)/T^2), 
   -((9 - 45*T1 + 67*T1^2 - 45*T1^3 + 9*T1^4 - 45*T2 + 180*T1*T2 - 
      110*T1^2*T2 - 110*T1^3*T2 + 180*T1^4*T2 - 45*T1^5*T2 + 67*T2^2 - 
      110*T1*T2^2 - 543*T1^2*T2^2 + 979*T1^3*T2^2 - 543*T1^4*T2^2 - 
      110*T1^5*T2^2 + 67*T1^6*T2^2 - 45*T2^3 - 110*T1*T2^3 + 979*T1^2*T2^3 - 
      628*T1^3*T2^3 - 628*T1^4*T2^3 + 979*T1^5*T2^3 - 110*T1^6*T2^3 - 
      45*T1^7*T2^3 + 9*T2^4 + 180*T1*T2^4 - 543*T1^2*T2^4 - 628*T1^3*T2^4 + 
      1476*T1^4*T2^4 - 628*T1^5*T2^4 - 543*T1^6*T2^4 + 180*T1^7*T2^4 + 
      9*T1^8*T2^4 - 45*T1*T2^5 - 110*T1^2*T2^5 + 979*T1^3*T2^5 - 
      628*T1^4*T2^5 - 628*T1^5*T2^5 + 979*T1^6*T2^5 - 110*T1^7*T2^5 - 
      45*T1^8*T2^5 + 67*T1^2*T2^6 - 110*T1^3*T2^6 - 543*T1^4*T2^6 + 
      979*T1^5*T2^6 - 543*T1^6*T2^6 - 110*T1^7*T2^6 + 67*T1^8*T2^6 - 
      45*T1^3*T2^7 + 180*T1^4*T2^7 - 110*T1^5*T2^7 - 110*T1^6*T2^7 + 
      180*T1^7*T2^7 - 45*T1^8*T2^7 + 9*T1^4*T2^8 - 45*T1^5*T2^8 + 
      67*T1^6*T2^8 - 45*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[9, 16] -> {((1 - T + T^2)*(2 - 3*T + 3*T^2 - 3*T^3 + 2*T^4))/T^3, 
   (25 - 61*T1 + 96*T1^2 - 107*T1^3 + 96*T1^4 - 61*T1^5 + 25*T1^6 - 61*T2 + 
     90*T1*T2 - 89*T1^2*T2 + 29*T1^3*T2 + 29*T1^4*T2 - 89*T1^5*T2 + 
     90*T1^6*T2 - 61*T1^7*T2 + 96*T2^2 - 89*T1*T2^2 + 89*T1^2*T2^2 - 
     40*T1^3*T2^2 + 53*T1^4*T2^2 - 40*T1^5*T2^2 + 89*T1^6*T2^2 - 
     89*T1^7*T2^2 + 96*T1^8*T2^2 - 107*T2^3 + 29*T1*T2^3 - 40*T1^2*T2^3 - 
     16*T1^3*T2^3 - 24*T1^4*T2^3 - 24*T1^5*T2^3 - 16*T1^6*T2^3 - 
     40*T1^7*T2^3 + 29*T1^8*T2^3 - 107*T1^9*T2^3 + 96*T2^4 + 29*T1*T2^4 + 
     53*T1^2*T2^4 - 24*T1^3*T2^4 + 111*T1^4*T2^4 - 49*T1^5*T2^4 + 
     111*T1^6*T2^4 - 24*T1^7*T2^4 + 53*T1^8*T2^4 + 29*T1^9*T2^4 + 
     96*T1^10*T2^4 - 61*T2^5 - 89*T1*T2^5 - 40*T1^2*T2^5 - 24*T1^3*T2^5 - 
     49*T1^4*T2^5 - 42*T1^5*T2^5 - 42*T1^6*T2^5 - 49*T1^7*T2^5 - 
     24*T1^8*T2^5 - 40*T1^9*T2^5 - 89*T1^10*T2^5 - 61*T1^11*T2^5 + 25*T2^6 + 
     90*T1*T2^6 + 89*T1^2*T2^6 - 16*T1^3*T2^6 + 111*T1^4*T2^6 - 
     42*T1^5*T2^6 + 144*T1^6*T2^6 - 42*T1^7*T2^6 + 111*T1^8*T2^6 - 
     16*T1^9*T2^6 + 89*T1^10*T2^6 + 90*T1^11*T2^6 + 25*T1^12*T2^6 - 
     61*T1*T2^7 - 89*T1^2*T2^7 - 40*T1^3*T2^7 - 24*T1^4*T2^7 - 49*T1^5*T2^7 - 
     42*T1^6*T2^7 - 42*T1^7*T2^7 - 49*T1^8*T2^7 - 24*T1^9*T2^7 - 
     40*T1^10*T2^7 - 89*T1^11*T2^7 - 61*T1^12*T2^7 + 96*T1^2*T2^8 + 
     29*T1^3*T2^8 + 53*T1^4*T2^8 - 24*T1^5*T2^8 + 111*T1^6*T2^8 - 
     49*T1^7*T2^8 + 111*T1^8*T2^8 - 24*T1^9*T2^8 + 53*T1^10*T2^8 + 
     29*T1^11*T2^8 + 96*T1^12*T2^8 - 107*T1^3*T2^9 + 29*T1^4*T2^9 - 
     40*T1^5*T2^9 - 16*T1^6*T2^9 - 24*T1^7*T2^9 - 24*T1^8*T2^9 - 
     16*T1^9*T2^9 - 40*T1^10*T2^9 + 29*T1^11*T2^9 - 107*T1^12*T2^9 + 
     96*T1^4*T2^10 - 89*T1^5*T2^10 + 89*T1^6*T2^10 - 40*T1^7*T2^10 + 
     53*T1^8*T2^10 - 40*T1^9*T2^10 + 89*T1^10*T2^10 - 89*T1^11*T2^10 + 
     96*T1^12*T2^10 - 61*T1^5*T2^11 + 90*T1^6*T2^11 - 89*T1^7*T2^11 + 
     29*T1^8*T2^11 + 29*T1^9*T2^11 - 89*T1^10*T2^11 + 90*T1^11*T2^11 - 
     61*T1^12*T2^11 + 25*T1^6*T2^12 - 61*T1^7*T2^12 + 96*T1^8*T2^12 - 
     107*T1^9*T2^12 + 96*T1^10*T2^12 - 61*T1^11*T2^12 + 25*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[9, 17] -> 
  {(1 - 5*T + 9*T^2 - 9*T^3 + 9*T^4 - 5*T^5 + T^6)/T^3, 
   -((1 - 5*T1 + 9*T1^2 - 9*T1^3 + 9*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 20*T1*T2 - 
      20*T1^2*T2 - 20*T1^5*T2 + 20*T1^6*T2 - 5*T1^7*T2 + 9*T2^2 - 
      20*T1*T2^2 - 34*T1^2*T2^2 + 98*T1^3*T2^2 - 66*T1^4*T2^2 + 
      98*T1^5*T2^2 - 34*T1^6*T2^2 - 20*T1^7*T2^2 + 9*T1^8*T2^2 - 9*T2^3 + 
      98*T1^2*T2^3 - 116*T1^3*T2^3 - 16*T1^4*T2^3 - 16*T1^5*T2^3 - 
      116*T1^6*T2^3 + 98*T1^7*T2^3 - 9*T1^9*T2^3 + 9*T2^4 - 66*T1^2*T2^4 - 
      16*T1^3*T2^4 + 193*T1^4*T2^4 - 125*T1^5*T2^4 + 193*T1^6*T2^4 - 
      16*T1^7*T2^4 - 66*T1^8*T2^4 + 9*T1^10*T2^4 - 5*T2^5 - 20*T1*T2^5 + 
      98*T1^2*T2^5 - 16*T1^3*T2^5 - 125*T1^4*T2^5 + 12*T1^5*T2^5 + 
      12*T1^6*T2^5 - 125*T1^7*T2^5 - 16*T1^8*T2^5 + 98*T1^9*T2^5 - 
      20*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 20*T1*T2^6 - 34*T1^2*T2^6 - 
      116*T1^3*T2^6 + 193*T1^4*T2^6 + 12*T1^5*T2^6 - 48*T1^6*T2^6 + 
      12*T1^7*T2^6 + 193*T1^8*T2^6 - 116*T1^9*T2^6 - 34*T1^10*T2^6 + 
      20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 20*T1^2*T2^7 + 98*T1^3*T2^7 - 
      16*T1^4*T2^7 - 125*T1^5*T2^7 + 12*T1^6*T2^7 + 12*T1^7*T2^7 - 
      125*T1^8*T2^7 - 16*T1^9*T2^7 + 98*T1^10*T2^7 - 20*T1^11*T2^7 - 
      5*T1^12*T2^7 + 9*T1^2*T2^8 - 66*T1^4*T2^8 - 16*T1^5*T2^8 + 
      193*T1^6*T2^8 - 125*T1^7*T2^8 + 193*T1^8*T2^8 - 16*T1^9*T2^8 - 
      66*T1^10*T2^8 + 9*T1^12*T2^8 - 9*T1^3*T2^9 + 98*T1^5*T2^9 - 
      116*T1^6*T2^9 - 16*T1^7*T2^9 - 16*T1^8*T2^9 - 116*T1^9*T2^9 + 
      98*T1^10*T2^9 - 9*T1^12*T2^9 + 9*T1^4*T2^10 - 20*T1^5*T2^10 - 
      34*T1^6*T2^10 + 98*T1^7*T2^10 - 66*T1^8*T2^10 + 98*T1^9*T2^10 - 
      34*T1^10*T2^10 - 20*T1^11*T2^10 + 9*T1^12*T2^10 - 5*T1^5*T2^11 + 
      20*T1^6*T2^11 - 20*T1^7*T2^11 - 20*T1^10*T2^11 + 20*T1^11*T2^11 - 
      5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 9*T1^8*T2^12 - 
      9*T1^9*T2^12 + 9*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[9, 18] -> {(4 - 10*T + 13*T^2 - 10*T^3 + 4*T^4)/T^2, 
   -((144 - 348*T1 + 448*T1^2 - 348*T1^3 + 144*T1^4 - 348*T2 + 502*T1*T2 - 
      248*T1^2*T2 - 248*T1^3*T2 + 502*T1^4*T2 - 348*T1^5*T2 + 448*T2^2 - 
      248*T1*T2^2 - 265*T1^2*T2^2 + 579*T1^3*T2^2 - 265*T1^4*T2^2 - 
      248*T1^5*T2^2 + 448*T1^6*T2^2 - 348*T2^3 - 248*T1*T2^3 + 
      579*T1^2*T2^3 - 340*T1^3*T2^3 - 340*T1^4*T2^3 + 579*T1^5*T2^3 - 
      248*T1^6*T2^3 - 348*T1^7*T2^3 + 144*T2^4 + 502*T1*T2^4 - 
      265*T1^2*T2^4 - 340*T1^3*T2^4 + 744*T1^4*T2^4 - 340*T1^5*T2^4 - 
      265*T1^6*T2^4 + 502*T1^7*T2^4 + 144*T1^8*T2^4 - 348*T1*T2^5 - 
      248*T1^2*T2^5 + 579*T1^3*T2^5 - 340*T1^4*T2^5 - 340*T1^5*T2^5 + 
      579*T1^6*T2^5 - 248*T1^7*T2^5 - 348*T1^8*T2^5 + 448*T1^2*T2^6 - 
      248*T1^3*T2^6 - 265*T1^4*T2^6 + 579*T1^5*T2^6 - 265*T1^6*T2^6 - 
      248*T1^7*T2^6 + 448*T1^8*T2^6 - 348*T1^3*T2^7 + 502*T1^4*T2^7 - 
      248*T1^5*T2^7 - 248*T1^6*T2^7 + 502*T1^7*T2^7 - 348*T1^8*T2^7 + 
      144*T1^4*T2^8 - 348*T1^5*T2^8 + 448*T1^6*T2^8 - 348*T1^7*T2^8 + 
      144*T1^8*T2^8)/(T1^4*T2^4))}, Knot[9, 19] -> 
  {(2 - 10*T + 17*T^2 - 10*T^3 + 2*T^4)/T^2, 
   -((1 - 5*T1 + 9*T1^2 - 5*T1^3 + T1^4 - 5*T2 + 20*T1*T2 - 20*T1^2*T2 - 
      20*T1^3*T2 + 20*T1^4*T2 - 5*T1^5*T2 + 9*T2^2 - 20*T1*T2^2 - 
      27*T1^2*T2^2 + 113*T1^3*T2^2 - 27*T1^4*T2^2 - 20*T1^5*T2^2 + 
      9*T1^6*T2^2 - 5*T2^3 - 20*T1*T2^3 + 113*T1^2*T2^3 - 124*T1^3*T2^3 - 
      124*T1^4*T2^3 + 113*T1^5*T2^3 - 20*T1^6*T2^3 - 5*T1^7*T2^3 + T2^4 + 
      20*T1*T2^4 - 27*T1^2*T2^4 - 124*T1^3*T2^4 + 348*T1^4*T2^4 - 
      124*T1^5*T2^4 - 27*T1^6*T2^4 + 20*T1^7*T2^4 + T1^8*T2^4 - 5*T1*T2^5 - 
      20*T1^2*T2^5 + 113*T1^3*T2^5 - 124*T1^4*T2^5 - 124*T1^5*T2^5 + 
      113*T1^6*T2^5 - 20*T1^7*T2^5 - 5*T1^8*T2^5 + 9*T1^2*T2^6 - 
      20*T1^3*T2^6 - 27*T1^4*T2^6 + 113*T1^5*T2^6 - 27*T1^6*T2^6 - 
      20*T1^7*T2^6 + 9*T1^8*T2^6 - 5*T1^3*T2^7 + 20*T1^4*T2^7 - 
      20*T1^5*T2^7 - 20*T1^6*T2^7 + 20*T1^7*T2^7 - 5*T1^8*T2^7 + T1^4*T2^8 - 
      5*T1^5*T2^8 + 9*T1^6*T2^8 - 5*T1^7*T2^8 + T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[9, 20] -> {-((1 - 5*T + 9*T^2 - 11*T^3 + 9*T^4 - 5*T^5 + T^6)/T^3), 
   (2 - 10*T1 + 18*T1^2 - 22*T1^3 + 18*T1^4 - 10*T1^5 + 2*T1^6 - 10*T2 + 
     40*T1*T2 - 40*T1^2*T2 + 20*T1^3*T2 + 20*T1^4*T2 - 40*T1^5*T2 + 
     40*T1^6*T2 - 10*T1^7*T2 + 18*T2^2 - 40*T1*T2^2 - 65*T1^2*T2^2 + 
     155*T1^3*T2^2 - 217*T1^4*T2^2 + 155*T1^5*T2^2 - 65*T1^6*T2^2 - 
     40*T1^7*T2^2 + 18*T1^8*T2^2 - 22*T2^3 + 20*T1*T2^3 + 155*T1^2*T2^3 - 
     150*T1^3*T2^3 + 94*T1^4*T2^3 + 94*T1^5*T2^3 - 150*T1^6*T2^3 + 
     155*T1^7*T2^3 + 20*T1^8*T2^3 - 22*T1^9*T2^3 + 18*T2^4 + 20*T1*T2^4 - 
     217*T1^2*T2^4 + 94*T1^3*T2^4 - 34*T1^4*T2^4 - 94*T1^5*T2^4 - 
     34*T1^6*T2^4 + 94*T1^7*T2^4 - 217*T1^8*T2^4 + 20*T1^9*T2^4 + 
     18*T1^10*T2^4 - 10*T2^5 - 40*T1*T2^5 + 155*T1^2*T2^5 + 94*T1^3*T2^5 - 
     94*T1^4*T2^5 + 116*T1^5*T2^5 + 116*T1^6*T2^5 - 94*T1^7*T2^5 + 
     94*T1^8*T2^5 + 155*T1^9*T2^5 - 40*T1^10*T2^5 - 10*T1^11*T2^5 + 2*T2^6 + 
     40*T1*T2^6 - 65*T1^2*T2^6 - 150*T1^3*T2^6 - 34*T1^4*T2^6 + 
     116*T1^5*T2^6 - 300*T1^6*T2^6 + 116*T1^7*T2^6 - 34*T1^8*T2^6 - 
     150*T1^9*T2^6 - 65*T1^10*T2^6 + 40*T1^11*T2^6 + 2*T1^12*T2^6 - 
     10*T1*T2^7 - 40*T1^2*T2^7 + 155*T1^3*T2^7 + 94*T1^4*T2^7 - 
     94*T1^5*T2^7 + 116*T1^6*T2^7 + 116*T1^7*T2^7 - 94*T1^8*T2^7 + 
     94*T1^9*T2^7 + 155*T1^10*T2^7 - 40*T1^11*T2^7 - 10*T1^12*T2^7 + 
     18*T1^2*T2^8 + 20*T1^3*T2^8 - 217*T1^4*T2^8 + 94*T1^5*T2^8 - 
     34*T1^6*T2^8 - 94*T1^7*T2^8 - 34*T1^8*T2^8 + 94*T1^9*T2^8 - 
     217*T1^10*T2^8 + 20*T1^11*T2^8 + 18*T1^12*T2^8 - 22*T1^3*T2^9 + 
     20*T1^4*T2^9 + 155*T1^5*T2^9 - 150*T1^6*T2^9 + 94*T1^7*T2^9 + 
     94*T1^8*T2^9 - 150*T1^9*T2^9 + 155*T1^10*T2^9 + 20*T1^11*T2^9 - 
     22*T1^12*T2^9 + 18*T1^4*T2^10 - 40*T1^5*T2^10 - 65*T1^6*T2^10 + 
     155*T1^7*T2^10 - 217*T1^8*T2^10 + 155*T1^9*T2^10 - 65*T1^10*T2^10 - 
     40*T1^11*T2^10 + 18*T1^12*T2^10 - 10*T1^5*T2^11 + 40*T1^6*T2^11 - 
     40*T1^7*T2^11 + 20*T1^8*T2^11 + 20*T1^9*T2^11 - 40*T1^10*T2^11 + 
     40*T1^11*T2^11 - 10*T1^12*T2^11 + 2*T1^6*T2^12 - 10*T1^7*T2^12 + 
     18*T1^8*T2^12 - 22*T1^9*T2^12 + 18*T1^10*T2^12 - 10*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^6*T2^6)}, Knot[9, 21] -> 
  {-((2 - 11*T + 17*T^2 - 11*T^3 + 2*T^4)/T^2), 
   -((9 - 49*T1 + 75*T1^2 - 49*T1^3 + 9*T1^4 - 49*T2 + 218*T1*T2 - 
      142*T1^2*T2 - 142*T1^3*T2 + 218*T1^4*T2 - 49*T1^5*T2 + 75*T2^2 - 
      142*T1*T2^2 - 708*T1^2*T2^2 + 1330*T1^3*T2^2 - 708*T1^4*T2^2 - 
      142*T1^5*T2^2 + 75*T1^6*T2^2 - 49*T2^3 - 142*T1*T2^3 + 1330*T1^2*T2^3 - 
      908*T1^3*T2^3 - 908*T1^4*T2^3 + 1330*T1^5*T2^3 - 142*T1^6*T2^3 - 
      49*T1^7*T2^3 + 9*T2^4 + 218*T1*T2^4 - 708*T1^2*T2^4 - 908*T1^3*T2^4 + 
      2196*T1^4*T2^4 - 908*T1^5*T2^4 - 708*T1^6*T2^4 + 218*T1^7*T2^4 + 
      9*T1^8*T2^4 - 49*T1*T2^5 - 142*T1^2*T2^5 + 1330*T1^3*T2^5 - 
      908*T1^4*T2^5 - 908*T1^5*T2^5 + 1330*T1^6*T2^5 - 142*T1^7*T2^5 - 
      49*T1^8*T2^5 + 75*T1^2*T2^6 - 142*T1^3*T2^6 - 708*T1^4*T2^6 + 
      1330*T1^5*T2^6 - 708*T1^6*T2^6 - 142*T1^7*T2^6 + 75*T1^8*T2^6 - 
      49*T1^3*T2^7 + 218*T1^4*T2^7 - 142*T1^5*T2^7 - 142*T1^6*T2^7 + 
      218*T1^7*T2^7 - 49*T1^8*T2^7 + 9*T1^4*T2^8 - 49*T1^5*T2^8 + 
      75*T1^6*T2^8 - 49*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[9, 22] -> {(1 - 5*T + 10*T^2 - 11*T^3 + 10*T^4 - 5*T^5 + T^6)/T^3, 
   (1 - 5*T1 + 10*T1^2 - 11*T1^3 + 10*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 25*T1^2*T2 + 5*T1^3*T2 + 5*T1^4*T2 - 25*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 10*T2^2 - 25*T1*T2^2 - 15*T1^2*T2^2 + 
     91*T1^3*T2^2 - 81*T1^4*T2^2 + 91*T1^5*T2^2 - 15*T1^6*T2^2 - 
     25*T1^7*T2^2 + 10*T1^8*T2^2 - 11*T2^3 + 5*T1*T2^3 + 91*T1^2*T2^3 - 
     148*T1^3*T2^3 + 16*T1^4*T2^3 + 16*T1^5*T2^3 - 148*T1^6*T2^3 + 
     91*T1^7*T2^3 + 5*T1^8*T2^3 - 11*T1^9*T2^3 + 10*T2^4 + 5*T1*T2^4 - 
     81*T1^2*T2^4 + 16*T1^3*T2^4 + 222*T1^4*T2^4 - 204*T1^5*T2^4 + 
     222*T1^6*T2^4 + 16*T1^7*T2^4 - 81*T1^8*T2^4 + 5*T1^9*T2^4 + 
     10*T1^10*T2^4 - 5*T2^5 - 25*T1*T2^5 + 91*T1^2*T2^5 + 16*T1^3*T2^5 - 
     204*T1^4*T2^5 + 50*T1^5*T2^5 + 50*T1^6*T2^5 - 204*T1^7*T2^5 + 
     16*T1^8*T2^5 + 91*T1^9*T2^5 - 25*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 - 15*T1^2*T2^6 - 148*T1^3*T2^6 + 222*T1^4*T2^6 + 
     50*T1^5*T2^6 - 108*T1^6*T2^6 + 50*T1^7*T2^6 + 222*T1^8*T2^6 - 
     148*T1^9*T2^6 - 15*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     25*T1^2*T2^7 + 91*T1^3*T2^7 + 16*T1^4*T2^7 - 204*T1^5*T2^7 + 
     50*T1^6*T2^7 + 50*T1^7*T2^7 - 204*T1^8*T2^7 + 16*T1^9*T2^7 + 
     91*T1^10*T2^7 - 25*T1^11*T2^7 - 5*T1^12*T2^7 + 10*T1^2*T2^8 + 
     5*T1^3*T2^8 - 81*T1^4*T2^8 + 16*T1^5*T2^8 + 222*T1^6*T2^8 - 
     204*T1^7*T2^8 + 222*T1^8*T2^8 + 16*T1^9*T2^8 - 81*T1^10*T2^8 + 
     5*T1^11*T2^8 + 10*T1^12*T2^8 - 11*T1^3*T2^9 + 5*T1^4*T2^9 + 
     91*T1^5*T2^9 - 148*T1^6*T2^9 + 16*T1^7*T2^9 + 16*T1^8*T2^9 - 
     148*T1^9*T2^9 + 91*T1^10*T2^9 + 5*T1^11*T2^9 - 11*T1^12*T2^9 + 
     10*T1^4*T2^10 - 25*T1^5*T2^10 - 15*T1^6*T2^10 + 91*T1^7*T2^10 - 
     81*T1^8*T2^10 + 91*T1^9*T2^10 - 15*T1^10*T2^10 - 25*T1^11*T2^10 + 
     10*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 25*T1^7*T2^11 + 
     5*T1^8*T2^11 + 5*T1^9*T2^11 - 25*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 10*T1^8*T2^12 - 
     11*T1^9*T2^12 + 10*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[9, 23] -> {((1 - T + T^2)*(4 - 7*T + 4*T^2))/T^2, 
   -((144 - 384*T1 + 520*T1^2 - 384*T1^3 + 144*T1^4 - 384*T2 + 648*T1*T2 - 
      368*T1^2*T2 - 368*T1^3*T2 + 648*T1^4*T2 - 384*T1^5*T2 + 520*T2^2 - 
      368*T1*T2^2 - 401*T1^2*T2^2 + 1037*T1^3*T2^2 - 401*T1^4*T2^2 - 
      368*T1^5*T2^2 + 520*T1^6*T2^2 - 384*T2^3 - 368*T1*T2^3 + 
      1037*T1^2*T2^3 - 736*T1^3*T2^3 - 736*T1^4*T2^3 + 1037*T1^5*T2^3 - 
      368*T1^6*T2^3 - 384*T1^7*T2^3 + 144*T2^4 + 648*T1*T2^4 - 
      401*T1^2*T2^4 - 736*T1^3*T2^4 + 1752*T1^4*T2^4 - 736*T1^5*T2^4 - 
      401*T1^6*T2^4 + 648*T1^7*T2^4 + 144*T1^8*T2^4 - 384*T1*T2^5 - 
      368*T1^2*T2^5 + 1037*T1^3*T2^5 - 736*T1^4*T2^5 - 736*T1^5*T2^5 + 
      1037*T1^6*T2^5 - 368*T1^7*T2^5 - 384*T1^8*T2^5 + 520*T1^2*T2^6 - 
      368*T1^3*T2^6 - 401*T1^4*T2^6 + 1037*T1^5*T2^6 - 401*T1^6*T2^6 - 
      368*T1^7*T2^6 + 520*T1^8*T2^6 - 384*T1^3*T2^7 + 648*T1^4*T2^7 - 
      368*T1^5*T2^7 - 368*T1^6*T2^7 + 648*T1^7*T2^7 - 384*T1^8*T2^7 + 
      144*T1^4*T2^8 - 384*T1^5*T2^8 + 520*T1^6*T2^8 - 384*T1^7*T2^8 + 
      144*T1^8*T2^8)/(T1^4*T2^4))}, Knot[9, 24] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)^2)/T^3), 
   (-2*(T1 - 2*T1^2 + T1^3 + T2 - 7*T1*T2 + 5*T1^2*T2 + 5*T1^3*T2 - 
      7*T1^4*T2 + T1^5*T2 - 2*T2^2 + 5*T1*T2^2 + 26*T1^2*T2^2 - 
      46*T1^3*T2^2 + 26*T1^4*T2^2 + 5*T1^5*T2^2 - 2*T1^6*T2^2 + T2^3 + 
      5*T1*T2^3 - 46*T1^2*T2^3 + 26*T1^3*T2^3 + 26*T1^4*T2^3 - 46*T1^5*T2^3 + 
      5*T1^6*T2^3 + T1^7*T2^3 - 7*T1*T2^4 + 26*T1^2*T2^4 + 26*T1^3*T2^4 - 
      54*T1^4*T2^4 + 26*T1^5*T2^4 + 26*T1^6*T2^4 - 7*T1^7*T2^4 + T1*T2^5 + 
      5*T1^2*T2^5 - 46*T1^3*T2^5 + 26*T1^4*T2^5 + 26*T1^5*T2^5 - 
      46*T1^6*T2^5 + 5*T1^7*T2^5 + T1^8*T2^5 - 2*T1^2*T2^6 + 5*T1^3*T2^6 + 
      26*T1^4*T2^6 - 46*T1^5*T2^6 + 26*T1^6*T2^6 + 5*T1^7*T2^6 - 
      2*T1^8*T2^6 + T1^3*T2^7 - 7*T1^4*T2^7 + 5*T1^5*T2^7 + 5*T1^6*T2^7 - 
      7*T1^7*T2^7 + T1^8*T2^7 + T1^5*T2^8 - 2*T1^6*T2^8 + T1^7*T2^8))/
    (T1^4*T2^4)}, Knot[9, 25] -> 
  {-((3 - 12*T + 17*T^2 - 12*T^3 + 3*T^4)/T^2), 
   (30 - 120*T1 + 168*T1^2 - 120*T1^3 + 30*T1^4 - 120*T2 + 362*T1*T2 - 
     195*T1^2*T2 - 195*T1^3*T2 + 362*T1^4*T2 - 120*T1^5*T2 + 168*T2^2 - 
     195*T1*T2^2 - 815*T1^2*T2^2 + 1379*T1^3*T2^2 - 815*T1^4*T2^2 - 
     195*T1^5*T2^2 + 168*T1^6*T2^2 - 120*T2^3 - 195*T1*T2^3 + 
     1379*T1^2*T2^3 - 782*T1^3*T2^3 - 782*T1^4*T2^3 + 1379*T1^5*T2^3 - 
     195*T1^6*T2^3 - 120*T1^7*T2^3 + 30*T2^4 + 362*T1*T2^4 - 815*T1^2*T2^4 - 
     782*T1^3*T2^4 + 1728*T1^4*T2^4 - 782*T1^5*T2^4 - 815*T1^6*T2^4 + 
     362*T1^7*T2^4 + 30*T1^8*T2^4 - 120*T1*T2^5 - 195*T1^2*T2^5 + 
     1379*T1^3*T2^5 - 782*T1^4*T2^5 - 782*T1^5*T2^5 + 1379*T1^6*T2^5 - 
     195*T1^7*T2^5 - 120*T1^8*T2^5 + 168*T1^2*T2^6 - 195*T1^3*T2^6 - 
     815*T1^4*T2^6 + 1379*T1^5*T2^6 - 815*T1^6*T2^6 - 195*T1^7*T2^6 + 
     168*T1^8*T2^6 - 120*T1^3*T2^7 + 362*T1^4*T2^7 - 195*T1^5*T2^7 - 
     195*T1^6*T2^7 + 362*T1^7*T2^7 - 120*T1^8*T2^7 + 30*T1^4*T2^8 - 
     120*T1^5*T2^8 + 168*T1^6*T2^8 - 120*T1^7*T2^8 + 30*T1^8*T2^8)/
    (T1^4*T2^4)}, Knot[9, 26] -> 
  {(1 - 5*T + 11*T^2 - 13*T^3 + 11*T^4 - 5*T^5 + T^6)/T^3, 
   (1 - 5*T1 + 11*T1^2 - 13*T1^3 + 11*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 30*T1^2*T2 + 10*T1^3*T2 + 10*T1^4*T2 - 30*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 11*T2^2 - 30*T1*T2^2 + 6*T1^2*T2^2 + 
     84*T1^3*T2^2 - 94*T1^4*T2^2 + 84*T1^5*T2^2 + 6*T1^6*T2^2 - 
     30*T1^7*T2^2 + 11*T1^8*T2^2 - 13*T2^3 + 10*T1*T2^3 + 84*T1^2*T2^3 - 
     200*T1^3*T2^3 + 52*T1^4*T2^3 + 52*T1^5*T2^3 - 200*T1^6*T2^3 + 
     84*T1^7*T2^3 + 10*T1^8*T2^3 - 13*T1^9*T2^3 + 11*T2^4 + 10*T1*T2^4 - 
     94*T1^2*T2^4 + 52*T1^3*T2^4 + 334*T1^4*T2^4 - 382*T1^5*T2^4 + 
     334*T1^6*T2^4 + 52*T1^7*T2^4 - 94*T1^8*T2^4 + 10*T1^9*T2^4 + 
     11*T1^10*T2^4 - 5*T2^5 - 30*T1*T2^5 + 84*T1^2*T2^5 + 52*T1^3*T2^5 - 
     382*T1^4*T2^5 + 118*T1^5*T2^5 + 118*T1^6*T2^5 - 382*T1^7*T2^5 + 
     52*T1^8*T2^5 + 84*T1^9*T2^5 - 30*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 + 6*T1^2*T2^6 - 200*T1^3*T2^6 + 334*T1^4*T2^6 + 
     118*T1^5*T2^6 - 204*T1^6*T2^6 + 118*T1^7*T2^6 + 334*T1^8*T2^6 - 
     200*T1^9*T2^6 + 6*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     30*T1^2*T2^7 + 84*T1^3*T2^7 + 52*T1^4*T2^7 - 382*T1^5*T2^7 + 
     118*T1^6*T2^7 + 118*T1^7*T2^7 - 382*T1^8*T2^7 + 52*T1^9*T2^7 + 
     84*T1^10*T2^7 - 30*T1^11*T2^7 - 5*T1^12*T2^7 + 11*T1^2*T2^8 + 
     10*T1^3*T2^8 - 94*T1^4*T2^8 + 52*T1^5*T2^8 + 334*T1^6*T2^8 - 
     382*T1^7*T2^8 + 334*T1^8*T2^8 + 52*T1^9*T2^8 - 94*T1^10*T2^8 + 
     10*T1^11*T2^8 + 11*T1^12*T2^8 - 13*T1^3*T2^9 + 10*T1^4*T2^9 + 
     84*T1^5*T2^9 - 200*T1^6*T2^9 + 52*T1^7*T2^9 + 52*T1^8*T2^9 - 
     200*T1^9*T2^9 + 84*T1^10*T2^9 + 10*T1^11*T2^9 - 13*T1^12*T2^9 + 
     11*T1^4*T2^10 - 30*T1^5*T2^10 + 6*T1^6*T2^10 + 84*T1^7*T2^10 - 
     94*T1^8*T2^10 + 84*T1^9*T2^10 + 6*T1^10*T2^10 - 30*T1^11*T2^10 + 
     11*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 30*T1^7*T2^11 + 
     10*T1^8*T2^11 + 10*T1^9*T2^11 - 30*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 11*T1^8*T2^12 - 
     13*T1^9*T2^12 + 11*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[9, 27] -> 
  {-(((-1 + 2*T - 3*T^2 + T^3)*(-1 + 3*T - 2*T^2 + T^3))/T^3), 
   -((1 - T1 + T1^2 - T1^3 + T1^4 - T2 - 8*T1*T2 + 4*T1^2*T2 + 4*T1^3*T2 - 
      8*T1^4*T2 - T1^5*T2 + T2^2 + 4*T1*T2^2 + 49*T1^2*T2^2 - 67*T1^3*T2^2 + 
      49*T1^4*T2^2 + 4*T1^5*T2^2 + T1^6*T2^2 - T2^3 + 4*T1*T2^3 - 
      67*T1^2*T2^3 + 20*T1^3*T2^3 + 20*T1^4*T2^3 - 67*T1^5*T2^3 + 
      4*T1^6*T2^3 - T1^7*T2^3 + T2^4 - 8*T1*T2^4 + 49*T1^2*T2^4 + 
      20*T1^3*T2^4 - 12*T1^4*T2^4 + 20*T1^5*T2^4 + 49*T1^6*T2^4 - 
      8*T1^7*T2^4 + T1^8*T2^4 - T1*T2^5 + 4*T1^2*T2^5 - 67*T1^3*T2^5 + 
      20*T1^4*T2^5 + 20*T1^5*T2^5 - 67*T1^6*T2^5 + 4*T1^7*T2^5 - T1^8*T2^5 + 
      T1^2*T2^6 + 4*T1^3*T2^6 + 49*T1^4*T2^6 - 67*T1^5*T2^6 + 49*T1^6*T2^6 + 
      4*T1^7*T2^6 + T1^8*T2^6 - T1^3*T2^7 - 8*T1^4*T2^7 + 4*T1^5*T2^7 + 
      4*T1^6*T2^7 - 8*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)/(T1^4*T2^4))}, 
 Knot[9, 28] -> {((1 - T + T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^3, 
   -((1 - 5*T1 + 12*T1^2 - 15*T1^3 + 12*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
      20*T1*T2 - 35*T1^2*T2 + 15*T1^3*T2 + 15*T1^4*T2 - 35*T1^5*T2 + 
      20*T1^6*T2 - 5*T1^7*T2 + 12*T2^2 - 35*T1*T2^2 + 31*T1^2*T2^2 + 
      60*T1^3*T2^2 - 89*T1^4*T2^2 + 60*T1^5*T2^2 + 31*T1^6*T2^2 - 
      35*T1^7*T2^2 + 12*T1^8*T2^2 - 15*T2^3 + 15*T1*T2^3 + 60*T1^2*T2^3 - 
      208*T1^3*T2^3 + 80*T1^4*T2^3 + 80*T1^5*T2^3 - 208*T1^6*T2^3 + 
      60*T1^7*T2^3 + 15*T1^8*T2^3 - 15*T1^9*T2^3 + 12*T2^4 + 15*T1*T2^4 - 
      89*T1^2*T2^4 + 80*T1^3*T2^4 + 353*T1^4*T2^4 - 471*T1^5*T2^4 + 
      353*T1^6*T2^4 + 80*T1^7*T2^4 - 89*T1^8*T2^4 + 15*T1^9*T2^4 + 
      12*T1^10*T2^4 - 5*T2^5 - 35*T1*T2^5 + 60*T1^2*T2^5 + 80*T1^3*T2^5 - 
      471*T1^4*T2^5 + 172*T1^5*T2^5 + 172*T1^6*T2^5 - 471*T1^7*T2^5 + 
      80*T1^8*T2^5 + 60*T1^9*T2^5 - 35*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
      20*T1*T2^6 + 31*T1^2*T2^6 - 208*T1^3*T2^6 + 353*T1^4*T2^6 + 
      172*T1^5*T2^6 - 288*T1^6*T2^6 + 172*T1^7*T2^6 + 353*T1^8*T2^6 - 
      208*T1^9*T2^6 + 31*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 
      5*T1*T2^7 - 35*T1^2*T2^7 + 60*T1^3*T2^7 + 80*T1^4*T2^7 - 
      471*T1^5*T2^7 + 172*T1^6*T2^7 + 172*T1^7*T2^7 - 471*T1^8*T2^7 + 
      80*T1^9*T2^7 + 60*T1^10*T2^7 - 35*T1^11*T2^7 - 5*T1^12*T2^7 + 
      12*T1^2*T2^8 + 15*T1^3*T2^8 - 89*T1^4*T2^8 + 80*T1^5*T2^8 + 
      353*T1^6*T2^8 - 471*T1^7*T2^8 + 353*T1^8*T2^8 + 80*T1^9*T2^8 - 
      89*T1^10*T2^8 + 15*T1^11*T2^8 + 12*T1^12*T2^8 - 15*T1^3*T2^9 + 
      15*T1^4*T2^9 + 60*T1^5*T2^9 - 208*T1^6*T2^9 + 80*T1^7*T2^9 + 
      80*T1^8*T2^9 - 208*T1^9*T2^9 + 60*T1^10*T2^9 + 15*T1^11*T2^9 - 
      15*T1^12*T2^9 + 12*T1^4*T2^10 - 35*T1^5*T2^10 + 31*T1^6*T2^10 + 
      60*T1^7*T2^10 - 89*T1^8*T2^10 + 60*T1^9*T2^10 + 31*T1^10*T2^10 - 
      35*T1^11*T2^10 + 12*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 
      35*T1^7*T2^11 + 15*T1^8*T2^11 + 15*T1^9*T2^11 - 35*T1^10*T2^11 + 
      20*T1^11*T2^11 - 5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 
      12*T1^8*T2^12 - 15*T1^9*T2^12 + 12*T1^10*T2^12 - 5*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[9, 29] -> 
  {((1 - T + T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^3, 
   -((1 - 5*T1 + 12*T1^2 - 15*T1^3 + 12*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
      20*T1*T2 - 35*T1^2*T2 + 15*T1^3*T2 + 15*T1^4*T2 - 35*T1^5*T2 + 
      20*T1^6*T2 - 5*T1^7*T2 + 12*T2^2 - 35*T1*T2^2 + 29*T1^2*T2^2 + 
      63*T1^3*T2^2 - 95*T1^4*T2^2 + 63*T1^5*T2^2 + 29*T1^6*T2^2 - 
      35*T1^7*T2^2 + 12*T1^8*T2^2 - 15*T2^3 + 15*T1*T2^3 + 63*T1^2*T2^3 - 
      204*T1^3*T2^3 + 87*T1^4*T2^3 + 87*T1^5*T2^3 - 204*T1^6*T2^3 + 
      63*T1^7*T2^3 + 15*T1^8*T2^3 - 15*T1^9*T2^3 + 12*T2^4 + 15*T1*T2^4 - 
      95*T1^2*T2^4 + 87*T1^3*T2^4 + 297*T1^4*T2^4 - 451*T1^5*T2^4 + 
      297*T1^6*T2^4 + 87*T1^7*T2^4 - 95*T1^8*T2^4 + 15*T1^9*T2^4 + 
      12*T1^10*T2^4 - 5*T2^5 - 35*T1*T2^5 + 63*T1^2*T2^5 + 87*T1^3*T2^5 - 
      451*T1^4*T2^5 + 230*T1^5*T2^5 + 230*T1^6*T2^5 - 451*T1^7*T2^5 + 
      87*T1^8*T2^5 + 63*T1^9*T2^5 - 35*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
      20*T1*T2^6 + 29*T1^2*T2^6 - 204*T1^3*T2^6 + 297*T1^4*T2^6 + 
      230*T1^5*T2^6 - 516*T1^6*T2^6 + 230*T1^7*T2^6 + 297*T1^8*T2^6 - 
      204*T1^9*T2^6 + 29*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 
      5*T1*T2^7 - 35*T1^2*T2^7 + 63*T1^3*T2^7 + 87*T1^4*T2^7 - 
      451*T1^5*T2^7 + 230*T1^6*T2^7 + 230*T1^7*T2^7 - 451*T1^8*T2^7 + 
      87*T1^9*T2^7 + 63*T1^10*T2^7 - 35*T1^11*T2^7 - 5*T1^12*T2^7 + 
      12*T1^2*T2^8 + 15*T1^3*T2^8 - 95*T1^4*T2^8 + 87*T1^5*T2^8 + 
      297*T1^6*T2^8 - 451*T1^7*T2^8 + 297*T1^8*T2^8 + 87*T1^9*T2^8 - 
      95*T1^10*T2^8 + 15*T1^11*T2^8 + 12*T1^12*T2^8 - 15*T1^3*T2^9 + 
      15*T1^4*T2^9 + 63*T1^5*T2^9 - 204*T1^6*T2^9 + 87*T1^7*T2^9 + 
      87*T1^8*T2^9 - 204*T1^9*T2^9 + 63*T1^10*T2^9 + 15*T1^11*T2^9 - 
      15*T1^12*T2^9 + 12*T1^4*T2^10 - 35*T1^5*T2^10 + 29*T1^6*T2^10 + 
      63*T1^7*T2^10 - 95*T1^8*T2^10 + 63*T1^9*T2^10 + 29*T1^10*T2^10 - 
      35*T1^11*T2^10 + 12*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 
      35*T1^7*T2^11 + 15*T1^8*T2^11 + 15*T1^9*T2^11 - 35*T1^10*T2^11 + 
      20*T1^11*T2^11 - 5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 
      12*T1^8*T2^12 - 15*T1^9*T2^12 + 12*T1^10*T2^12 - 5*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[9, 30] -> 
  {-((1 - 5*T + 12*T^2 - 17*T^3 + 12*T^4 - 5*T^5 + T^6)/T^3), 
   -((T1 + T1^3 + T2 - 6*T1*T2 - 2*T1^2*T2 - 2*T1^3*T2 - 6*T1^4*T2 + 
      T1^5*T2 - 2*T1*T2^2 + 29*T1^2*T2^2 - 7*T1^3*T2^2 + 29*T1^4*T2^2 - 
      2*T1^5*T2^2 + T2^3 - 2*T1*T2^3 - 7*T1^2*T2^3 - 38*T1^3*T2^3 - 
      38*T1^4*T2^3 - 7*T1^5*T2^3 - 2*T1^6*T2^3 + T1^7*T2^3 - 6*T1*T2^4 + 
      29*T1^2*T2^4 - 38*T1^3*T2^4 + 144*T1^4*T2^4 - 38*T1^5*T2^4 + 
      29*T1^6*T2^4 - 6*T1^7*T2^4 + T1*T2^5 - 2*T1^2*T2^5 - 7*T1^3*T2^5 - 
      38*T1^4*T2^5 - 38*T1^5*T2^5 - 7*T1^6*T2^5 - 2*T1^7*T2^5 + T1^8*T2^5 - 
      2*T1^3*T2^6 + 29*T1^4*T2^6 - 7*T1^5*T2^6 + 29*T1^6*T2^6 - 2*T1^7*T2^6 + 
      T1^3*T2^7 - 6*T1^4*T2^7 - 2*T1^5*T2^7 - 2*T1^6*T2^7 - 6*T1^7*T2^7 + 
      T1^8*T2^7 + T1^5*T2^8 + T1^7*T2^8)/(T1^4*T2^4))}, 
 Knot[9, 31] -> {(1 - 5*T + 13*T^2 - 17*T^3 + 13*T^4 - 5*T^5 + T^6)/T^3, 
   -((1 - 5*T1 + 13*T1^2 - 17*T1^3 + 13*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
      20*T1*T2 - 40*T1^2*T2 + 20*T1^3*T2 + 20*T1^4*T2 - 40*T1^5*T2 + 
      20*T1^6*T2 - 5*T1^7*T2 + 13*T2^2 - 40*T1*T2^2 + 56*T1^2*T2^2 + 
      44*T1^3*T2^2 - 96*T1^4*T2^2 + 44*T1^5*T2^2 + 56*T1^6*T2^2 - 
      40*T1^7*T2^2 + 13*T1^8*T2^2 - 17*T2^3 + 20*T1*T2^3 + 44*T1^2*T2^3 - 
      260*T1^3*T2^3 + 136*T1^4*T2^3 + 136*T1^5*T2^3 - 260*T1^6*T2^3 + 
      44*T1^7*T2^3 + 20*T1^8*T2^3 - 17*T1^9*T2^3 + 13*T2^4 + 20*T1*T2^4 - 
      96*T1^2*T2^4 + 136*T1^3*T2^4 + 491*T1^4*T2^4 - 803*T1^5*T2^4 + 
      491*T1^6*T2^4 + 136*T1^7*T2^4 - 96*T1^8*T2^4 + 20*T1^9*T2^4 + 
      13*T1^10*T2^4 - 5*T2^5 - 40*T1*T2^5 + 44*T1^2*T2^5 + 136*T1^3*T2^5 - 
      803*T1^4*T2^5 + 420*T1^5*T2^5 + 420*T1^6*T2^5 - 803*T1^7*T2^5 + 
      136*T1^8*T2^5 + 44*T1^9*T2^5 - 40*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
      20*T1*T2^6 + 56*T1^2*T2^6 - 260*T1^3*T2^6 + 491*T1^4*T2^6 + 
      420*T1^5*T2^6 - 888*T1^6*T2^6 + 420*T1^7*T2^6 + 491*T1^8*T2^6 - 
      260*T1^9*T2^6 + 56*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 
      5*T1*T2^7 - 40*T1^2*T2^7 + 44*T1^3*T2^7 + 136*T1^4*T2^7 - 
      803*T1^5*T2^7 + 420*T1^6*T2^7 + 420*T1^7*T2^7 - 803*T1^8*T2^7 + 
      136*T1^9*T2^7 + 44*T1^10*T2^7 - 40*T1^11*T2^7 - 5*T1^12*T2^7 + 
      13*T1^2*T2^8 + 20*T1^3*T2^8 - 96*T1^4*T2^8 + 136*T1^5*T2^8 + 
      491*T1^6*T2^8 - 803*T1^7*T2^8 + 491*T1^8*T2^8 + 136*T1^9*T2^8 - 
      96*T1^10*T2^8 + 20*T1^11*T2^8 + 13*T1^12*T2^8 - 17*T1^3*T2^9 + 
      20*T1^4*T2^9 + 44*T1^5*T2^9 - 260*T1^6*T2^9 + 136*T1^7*T2^9 + 
      136*T1^8*T2^9 - 260*T1^9*T2^9 + 44*T1^10*T2^9 + 20*T1^11*T2^9 - 
      17*T1^12*T2^9 + 13*T1^4*T2^10 - 40*T1^5*T2^10 + 56*T1^6*T2^10 + 
      44*T1^7*T2^10 - 96*T1^8*T2^10 + 44*T1^9*T2^10 + 56*T1^10*T2^10 - 
      40*T1^11*T2^10 + 13*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 
      40*T1^7*T2^11 + 20*T1^8*T2^11 + 20*T1^9*T2^11 - 40*T1^10*T2^11 + 
      20*T1^11*T2^11 - 5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 
      13*T1^8*T2^12 - 17*T1^9*T2^12 + 13*T1^10*T2^12 - 5*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[9, 32] -> 
  {(1 - 6*T + 14*T^2 - 17*T^3 + 14*T^4 - 6*T^5 + T^6)/T^3, 
   (1 - 6*T1 + 14*T1^2 - 17*T1^3 + 14*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     30*T1*T2 - 48*T1^2*T2 + 18*T1^3*T2 + 18*T1^4*T2 - 48*T1^5*T2 + 
     30*T1^6*T2 - 6*T1^7*T2 + 14*T2^2 - 48*T1*T2^2 - 7*T1^2*T2^2 + 
     186*T1^3*T2^2 - 227*T1^4*T2^2 + 186*T1^5*T2^2 - 7*T1^6*T2^2 - 
     48*T1^7*T2^2 + 14*T1^8*T2^2 - 17*T2^3 + 18*T1*T2^3 + 186*T1^2*T2^3 - 
     412*T1^3*T2^3 + 131*T1^4*T2^3 + 131*T1^5*T2^3 - 412*T1^6*T2^3 + 
     186*T1^7*T2^3 + 18*T1^8*T2^3 - 17*T1^9*T2^3 + 14*T2^4 + 18*T1*T2^4 - 
     227*T1^2*T2^4 + 131*T1^3*T2^4 + 621*T1^4*T2^4 - 751*T1^5*T2^4 + 
     621*T1^6*T2^4 + 131*T1^7*T2^4 - 227*T1^8*T2^4 + 18*T1^9*T2^4 + 
     14*T1^10*T2^4 - 6*T2^5 - 48*T1*T2^5 + 186*T1^2*T2^5 + 131*T1^3*T2^5 - 
     751*T1^4*T2^5 + 234*T1^5*T2^5 + 234*T1^6*T2^5 - 751*T1^7*T2^5 + 
     131*T1^8*T2^5 + 186*T1^9*T2^5 - 48*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     30*T1*T2^6 - 7*T1^2*T2^6 - 412*T1^3*T2^6 + 621*T1^4*T2^6 + 
     234*T1^5*T2^6 - 372*T1^6*T2^6 + 234*T1^7*T2^6 + 621*T1^8*T2^6 - 
     412*T1^9*T2^6 - 7*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
     48*T1^2*T2^7 + 186*T1^3*T2^7 + 131*T1^4*T2^7 - 751*T1^5*T2^7 + 
     234*T1^6*T2^7 + 234*T1^7*T2^7 - 751*T1^8*T2^7 + 131*T1^9*T2^7 + 
     186*T1^10*T2^7 - 48*T1^11*T2^7 - 6*T1^12*T2^7 + 14*T1^2*T2^8 + 
     18*T1^3*T2^8 - 227*T1^4*T2^8 + 131*T1^5*T2^8 + 621*T1^6*T2^8 - 
     751*T1^7*T2^8 + 621*T1^8*T2^8 + 131*T1^9*T2^8 - 227*T1^10*T2^8 + 
     18*T1^11*T2^8 + 14*T1^12*T2^8 - 17*T1^3*T2^9 + 18*T1^4*T2^9 + 
     186*T1^5*T2^9 - 412*T1^6*T2^9 + 131*T1^7*T2^9 + 131*T1^8*T2^9 - 
     412*T1^9*T2^9 + 186*T1^10*T2^9 + 18*T1^11*T2^9 - 17*T1^12*T2^9 + 
     14*T1^4*T2^10 - 48*T1^5*T2^10 - 7*T1^6*T2^10 + 186*T1^7*T2^10 - 
     227*T1^8*T2^10 + 186*T1^9*T2^10 - 7*T1^10*T2^10 - 48*T1^11*T2^10 + 
     14*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 48*T1^7*T2^11 + 
     18*T1^8*T2^11 + 18*T1^9*T2^11 - 48*T1^10*T2^11 + 30*T1^11*T2^11 - 
     6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 14*T1^8*T2^12 - 
     17*T1^9*T2^12 + 14*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[9, 33] -> 
  {-((1 - 6*T + 14*T^2 - 19*T^3 + 14*T^4 - 6*T^5 + T^6)/T^3), 
   (1 - 4*T1 + 5*T1^2 - 4*T1^3 + T1^4 - 4*T2 + 16*T1*T2 - 6*T1^2*T2 - 
     6*T1^3*T2 + 16*T1^4*T2 - 4*T1^5*T2 + 5*T2^2 - 6*T1*T2^2 - 65*T1^2*T2^2 + 
     81*T1^3*T2^2 - 65*T1^4*T2^2 - 6*T1^5*T2^2 + 5*T1^6*T2^2 - 4*T2^3 - 
     6*T1*T2^3 + 81*T1^2*T2^3 - 16*T1^3*T2^3 - 16*T1^4*T2^3 + 81*T1^5*T2^3 - 
     6*T1^6*T2^3 - 4*T1^7*T2^3 + T2^4 + 16*T1*T2^4 - 65*T1^2*T2^4 - 
     16*T1^3*T2^4 - 12*T1^4*T2^4 - 16*T1^5*T2^4 - 65*T1^6*T2^4 + 
     16*T1^7*T2^4 + T1^8*T2^4 - 4*T1*T2^5 - 6*T1^2*T2^5 + 81*T1^3*T2^5 - 
     16*T1^4*T2^5 - 16*T1^5*T2^5 + 81*T1^6*T2^5 - 6*T1^7*T2^5 - 4*T1^8*T2^5 + 
     5*T1^2*T2^6 - 6*T1^3*T2^6 - 65*T1^4*T2^6 + 81*T1^5*T2^6 - 65*T1^6*T2^6 - 
     6*T1^7*T2^6 + 5*T1^8*T2^6 - 4*T1^3*T2^7 + 16*T1^4*T2^7 - 6*T1^5*T2^7 - 
     6*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)/(T1^4*T2^4)}, 
 Knot[9, 34] -> {-((1 - 6*T + 16*T^2 - 23*T^3 + 16*T^4 - 6*T^5 + T^6)/T^3), 
   (1 - T1 - 3*T1^2 - T1^3 + T1^4 - T2 - 10*T1*T2 + 23*T1^2*T2 + 23*T1^3*T2 - 
     10*T1^4*T2 - T1^5*T2 - 3*T2^2 + 23*T1*T2^2 + 18*T1^2*T2^2 - 
     158*T1^3*T2^2 + 18*T1^4*T2^2 + 23*T1^5*T2^2 - 3*T1^6*T2^2 - T2^3 + 
     23*T1*T2^3 - 158*T1^2*T2^3 + 216*T1^3*T2^3 + 216*T1^4*T2^3 - 
     158*T1^5*T2^3 + 23*T1^6*T2^3 - T1^7*T2^3 + T2^4 - 10*T1*T2^4 + 
     18*T1^2*T2^4 + 216*T1^3*T2^4 - 648*T1^4*T2^4 + 216*T1^5*T2^4 + 
     18*T1^6*T2^4 - 10*T1^7*T2^4 + T1^8*T2^4 - T1*T2^5 + 23*T1^2*T2^5 - 
     158*T1^3*T2^5 + 216*T1^4*T2^5 + 216*T1^5*T2^5 - 158*T1^6*T2^5 + 
     23*T1^7*T2^5 - T1^8*T2^5 - 3*T1^2*T2^6 + 23*T1^3*T2^6 + 18*T1^4*T2^6 - 
     158*T1^5*T2^6 + 18*T1^6*T2^6 + 23*T1^7*T2^6 - 3*T1^8*T2^6 - T1^3*T2^7 - 
     10*T1^4*T2^7 + 23*T1^5*T2^7 + 23*T1^6*T2^7 - 10*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)/
    (T1^4*T2^4)}, Knot[9, 35] -> {(7 - 13*T + 7*T^2)/T, 
   (-18*(28 - 51*T1 + 28*T1^2 - 51*T2 + 42*T1*T2 + 42*T1^2*T2 - 51*T1^3*T2 + 
      28*T2^2 + 42*T1*T2^2 - 114*T1^2*T2^2 + 42*T1^3*T2^2 + 28*T1^4*T2^2 - 
      51*T1*T2^3 + 42*T1^2*T2^3 + 42*T1^3*T2^3 - 51*T1^4*T2^3 + 
      28*T1^2*T2^4 - 51*T1^3*T2^4 + 28*T1^4*T2^4))/(T1^2*T2^2)}, 
 Knot[9, 36] -> {-((1 - 5*T + 8*T^2 - 9*T^3 + 8*T^4 - 5*T^5 + T^6)/T^3), 
   -((2 - 10*T1 + 16*T1^2 - 18*T1^3 + 16*T1^4 - 10*T1^5 + 2*T1^6 - 10*T2 + 
      40*T1*T2 - 30*T1^2*T2 + 10*T1^3*T2 + 10*T1^4*T2 - 30*T1^5*T2 + 
      40*T1^6*T2 - 10*T1^7*T2 + 16*T2^2 - 30*T1*T2^2 - 102*T1^2*T2^2 + 
      171*T1^3*T2^2 - 188*T1^4*T2^2 + 171*T1^5*T2^2 - 102*T1^6*T2^2 - 
      30*T1^7*T2^2 + 16*T1^8*T2^2 - 18*T2^3 + 10*T1*T2^3 + 171*T1^2*T2^3 - 
      110*T1^3*T2^3 + 32*T1^4*T2^3 + 32*T1^5*T2^3 - 110*T1^6*T2^3 + 
      171*T1^7*T2^3 + 10*T1^8*T2^3 - 18*T1^9*T2^3 + 16*T2^4 + 10*T1*T2^4 - 
      188*T1^2*T2^4 + 32*T1^3*T2^4 - 5*T1^4*T2^4 + 7*T1^5*T2^4 - 
      5*T1^6*T2^4 + 32*T1^7*T2^4 - 188*T1^8*T2^4 + 10*T1^9*T2^4 + 
      16*T1^10*T2^4 - 10*T2^5 - 30*T1*T2^5 + 171*T1^2*T2^5 + 32*T1^3*T2^5 + 
      7*T1^4*T2^5 - 6*T1^5*T2^5 - 6*T1^6*T2^5 + 7*T1^7*T2^5 + 32*T1^8*T2^5 + 
      171*T1^9*T2^5 - 30*T1^10*T2^5 - 10*T1^11*T2^5 + 2*T2^6 + 40*T1*T2^6 - 
      102*T1^2*T2^6 - 110*T1^3*T2^6 - 5*T1^4*T2^6 - 6*T1^5*T2^6 + 
      12*T1^6*T2^6 - 6*T1^7*T2^6 - 5*T1^8*T2^6 - 110*T1^9*T2^6 - 
      102*T1^10*T2^6 + 40*T1^11*T2^6 + 2*T1^12*T2^6 - 10*T1*T2^7 - 
      30*T1^2*T2^7 + 171*T1^3*T2^7 + 32*T1^4*T2^7 + 7*T1^5*T2^7 - 
      6*T1^6*T2^7 - 6*T1^7*T2^7 + 7*T1^8*T2^7 + 32*T1^9*T2^7 + 
      171*T1^10*T2^7 - 30*T1^11*T2^7 - 10*T1^12*T2^7 + 16*T1^2*T2^8 + 
      10*T1^3*T2^8 - 188*T1^4*T2^8 + 32*T1^5*T2^8 - 5*T1^6*T2^8 + 
      7*T1^7*T2^8 - 5*T1^8*T2^8 + 32*T1^9*T2^8 - 188*T1^10*T2^8 + 
      10*T1^11*T2^8 + 16*T1^12*T2^8 - 18*T1^3*T2^9 + 10*T1^4*T2^9 + 
      171*T1^5*T2^9 - 110*T1^6*T2^9 + 32*T1^7*T2^9 + 32*T1^8*T2^9 - 
      110*T1^9*T2^9 + 171*T1^10*T2^9 + 10*T1^11*T2^9 - 18*T1^12*T2^9 + 
      16*T1^4*T2^10 - 30*T1^5*T2^10 - 102*T1^6*T2^10 + 171*T1^7*T2^10 - 
      188*T1^8*T2^10 + 171*T1^9*T2^10 - 102*T1^10*T2^10 - 30*T1^11*T2^10 + 
      16*T1^12*T2^10 - 10*T1^5*T2^11 + 40*T1^6*T2^11 - 30*T1^7*T2^11 + 
      10*T1^8*T2^11 + 10*T1^9*T2^11 - 30*T1^10*T2^11 + 40*T1^11*T2^11 - 
      10*T1^12*T2^11 + 2*T1^6*T2^12 - 10*T1^7*T2^12 + 16*T1^8*T2^12 - 
      18*T1^9*T2^12 + 16*T1^10*T2^12 - 10*T1^11*T2^12 + 2*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[9, 37] -> {((-2 + T)*(-1 + 2*T)*(1 - 3*T + T^2))/
    T^2, -((1 - 5*T1 + 9*T1^2 - 5*T1^3 + T1^4 - 5*T2 + 20*T1*T2 - 
      20*T1^2*T2 - 20*T1^3*T2 + 20*T1^4*T2 - 5*T1^5*T2 + 9*T2^2 - 
      20*T1*T2^2 - 33*T1^2*T2^2 + 127*T1^3*T2^2 - 33*T1^4*T2^2 - 
      20*T1^5*T2^2 + 9*T1^6*T2^2 - 5*T2^3 - 20*T1*T2^3 + 127*T1^2*T2^3 - 
      142*T1^3*T2^3 - 142*T1^4*T2^3 + 127*T1^5*T2^3 - 20*T1^6*T2^3 - 
      5*T1^7*T2^3 + T2^4 + 20*T1*T2^4 - 33*T1^2*T2^4 - 142*T1^3*T2^4 + 
      408*T1^4*T2^4 - 142*T1^5*T2^4 - 33*T1^6*T2^4 + 20*T1^7*T2^4 + 
      T1^8*T2^4 - 5*T1*T2^5 - 20*T1^2*T2^5 + 127*T1^3*T2^5 - 142*T1^4*T2^5 - 
      142*T1^5*T2^5 + 127*T1^6*T2^5 - 20*T1^7*T2^5 - 5*T1^8*T2^5 + 
      9*T1^2*T2^6 - 20*T1^3*T2^6 - 33*T1^4*T2^6 + 127*T1^5*T2^6 - 
      33*T1^6*T2^6 - 20*T1^7*T2^6 + 9*T1^8*T2^6 - 5*T1^3*T2^7 + 
      20*T1^4*T2^7 - 20*T1^5*T2^7 - 20*T1^6*T2^7 + 20*T1^7*T2^7 - 
      5*T1^8*T2^7 + T1^4*T2^8 - 5*T1^5*T2^8 + 9*T1^6*T2^8 - 5*T1^7*T2^8 + 
      T1^8*T2^8)/(T1^4*T2^4))}, Knot[9, 38] -> 
  {((1 - T + T^2)*(5 - 9*T + 5*T^2))/T^2, 
   -((270 - 735*T1 + 992*T1^2 - 735*T1^3 + 270*T1^4 - 735*T2 + 1280*T1*T2 - 
      709*T1^2*T2 - 709*T1^3*T2 + 1280*T1^4*T2 - 735*T1^5*T2 + 992*T2^2 - 
      709*T1*T2^2 - 966*T1^2*T2^2 + 2218*T1^3*T2^2 - 966*T1^4*T2^2 - 
      709*T1^5*T2^2 + 992*T1^6*T2^2 - 735*T2^3 - 709*T1*T2^3 + 
      2218*T1^2*T2^3 - 1484*T1^3*T2^3 - 1484*T1^4*T2^3 + 2218*T1^5*T2^3 - 
      709*T1^6*T2^3 - 735*T1^7*T2^3 + 270*T2^4 + 1280*T1*T2^4 - 
      966*T1^2*T2^4 - 1484*T1^3*T2^4 + 3468*T1^4*T2^4 - 1484*T1^5*T2^4 - 
      966*T1^6*T2^4 + 1280*T1^7*T2^4 + 270*T1^8*T2^4 - 735*T1*T2^5 - 
      709*T1^2*T2^5 + 2218*T1^3*T2^5 - 1484*T1^4*T2^5 - 1484*T1^5*T2^5 + 
      2218*T1^6*T2^5 - 709*T1^7*T2^5 - 735*T1^8*T2^5 + 992*T1^2*T2^6 - 
      709*T1^3*T2^6 - 966*T1^4*T2^6 + 2218*T1^5*T2^6 - 966*T1^6*T2^6 - 
      709*T1^7*T2^6 + 992*T1^8*T2^6 - 735*T1^3*T2^7 + 1280*T1^4*T2^7 - 
      709*T1^5*T2^7 - 709*T1^6*T2^7 + 1280*T1^7*T2^7 - 735*T1^8*T2^7 + 
      270*T1^4*T2^8 - 735*T1^5*T2^8 + 992*T1^6*T2^8 - 735*T1^7*T2^8 + 
      270*T1^8*T2^8)/(T1^4*T2^4))}, Knot[9, 39] -> 
  {-(((1 - 3*T + T^2)*(3 - 5*T + 3*T^2))/T^2), 
   -((30 - 139*T1 + 206*T1^2 - 139*T1^3 + 30*T1^4 - 139*T2 + 506*T1*T2 - 
      313*T1^2*T2 - 313*T1^3*T2 + 506*T1^4*T2 - 139*T1^5*T2 + 206*T2^2 - 
      313*T1*T2^2 - 1316*T1^2*T2^2 + 2456*T1^3*T2^2 - 1316*T1^4*T2^2 - 
      313*T1^5*T2^2 + 206*T1^6*T2^2 - 139*T2^3 - 313*T1*T2^3 + 
      2456*T1^2*T2^3 - 1618*T1^3*T2^3 - 1618*T1^4*T2^3 + 2456*T1^5*T2^3 - 
      313*T1^6*T2^3 - 139*T1^7*T2^3 + 30*T2^4 + 506*T1*T2^4 - 
      1316*T1^2*T2^4 - 1618*T1^3*T2^4 + 3840*T1^4*T2^4 - 1618*T1^5*T2^4 - 
      1316*T1^6*T2^4 + 506*T1^7*T2^4 + 30*T1^8*T2^4 - 139*T1*T2^5 - 
      313*T1^2*T2^5 + 2456*T1^3*T2^5 - 1618*T1^4*T2^5 - 1618*T1^5*T2^5 + 
      2456*T1^6*T2^5 - 313*T1^7*T2^5 - 139*T1^8*T2^5 + 206*T1^2*T2^6 - 
      313*T1^3*T2^6 - 1316*T1^4*T2^6 + 2456*T1^5*T2^6 - 1316*T1^6*T2^6 - 
      313*T1^7*T2^6 + 206*T1^8*T2^6 - 139*T1^3*T2^7 + 506*T1^4*T2^7 - 
      313*T1^5*T2^7 - 313*T1^6*T2^7 + 506*T1^7*T2^7 - 139*T1^8*T2^7 + 
      30*T1^4*T2^8 - 139*T1^5*T2^8 + 206*T1^6*T2^8 - 139*T1^7*T2^8 + 
      30*T1^8*T2^8)/(T1^4*T2^4))}, 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)*
      (1 - 4*T1 + 5*T1^2 - 4*T1^3 + T1^4 - 4*T2 + 12*T1*T2 - 4*T1^2*T2 - 
       4*T1^3*T2 + 12*T1^4*T2 - 4*T1^5*T2 + 5*T2^2 - 4*T1*T2^2 - 
       31*T1^2*T2^2 + 37*T1^3*T2^2 - 31*T1^4*T2^2 - 4*T1^5*T2^2 + 
       5*T1^6*T2^2 - 4*T2^3 - 4*T1*T2^3 + 37*T1^2*T2^3 - 10*T1^3*T2^3 - 
       10*T1^4*T2^3 + 37*T1^5*T2^3 - 4*T1^6*T2^3 - 4*T1^7*T2^3 + T2^4 + 
       12*T1*T2^4 - 31*T1^2*T2^4 - 10*T1^3*T2^4 + 12*T1^4*T2^4 - 
       10*T1^5*T2^4 - 31*T1^6*T2^4 + 12*T1^7*T2^4 + T1^8*T2^4 - 4*T1*T2^5 - 
       4*T1^2*T2^5 + 37*T1^3*T2^5 - 10*T1^4*T2^5 - 10*T1^5*T2^5 + 
       37*T1^6*T2^5 - 4*T1^7*T2^5 - 4*T1^8*T2^5 + 5*T1^2*T2^6 - 4*T1^3*T2^6 - 
       31*T1^4*T2^6 + 37*T1^5*T2^6 - 31*T1^6*T2^6 - 4*T1^7*T2^6 + 
       5*T1^8*T2^6 - 4*T1^3*T2^7 + 12*T1^4*T2^7 - 4*T1^5*T2^7 - 4*T1^6*T2^7 + 
       12*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))/(T1^6*T2^6))}, 
 Knot[9, 41] -> {((3 - 3*T + T^2)*(1 - 3*T + 3*T^2))/T^2, 
   -((3 - 15*T1 + 27*T1^2 - 15*T1^3 + 3*T1^4 - 15*T2 + 58*T1*T2 - 
      56*T1^2*T2 - 56*T1^3*T2 + 58*T1^4*T2 - 15*T1^5*T2 + 27*T2^2 - 
      56*T1*T2^2 - 81*T1^2*T2^2 + 333*T1^3*T2^2 - 81*T1^4*T2^2 - 
      56*T1^5*T2^2 + 27*T1^6*T2^2 - 15*T2^3 - 56*T1*T2^3 + 333*T1^2*T2^3 - 
      396*T1^3*T2^3 - 396*T1^4*T2^3 + 333*T1^5*T2^3 - 56*T1^6*T2^3 - 
      15*T1^7*T2^3 + 3*T2^4 + 58*T1*T2^4 - 81*T1^2*T2^4 - 396*T1^3*T2^4 + 
      1188*T1^4*T2^4 - 396*T1^5*T2^4 - 81*T1^6*T2^4 + 58*T1^7*T2^4 + 
      3*T1^8*T2^4 - 15*T1*T2^5 - 56*T1^2*T2^5 + 333*T1^3*T2^5 - 
      396*T1^4*T2^5 - 396*T1^5*T2^5 + 333*T1^6*T2^5 - 56*T1^7*T2^5 - 
      15*T1^8*T2^5 + 27*T1^2*T2^6 - 56*T1^3*T2^6 - 81*T1^4*T2^6 + 
      333*T1^5*T2^6 - 81*T1^6*T2^6 - 56*T1^7*T2^6 + 27*T1^8*T2^6 - 
      15*T1^3*T2^7 + 58*T1^4*T2^7 - 56*T1^5*T2^7 - 56*T1^6*T2^7 + 
      58*T1^7*T2^7 - 15*T1^8*T2^7 + 3*T1^4*T2^8 - 15*T1^5*T2^8 + 
      27*T1^6*T2^8 - 15*T1^7*T2^8 + 3*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[9, 42] -> {-((1 - 2*T + T^2 - 2*T^3 + T^4)/T^2), 
   -((1 - 2*T1 + T1^2 - 2*T1^3 + T1^4 - 2*T2 + 2*T1*T2 + 2*T1^2*T2 + 
      2*T1^3*T2 + 2*T1^4*T2 - 2*T1^5*T2 + T2^2 + 2*T1*T2^2 - 6*T1^2*T2^2 + 
      2*T1^3*T2^2 - 6*T1^4*T2^2 + 2*T1^5*T2^2 + T1^6*T2^2 - 2*T2^3 + 
      2*T1*T2^3 + 2*T1^2*T2^3 - 4*T1^3*T2^3 - 4*T1^4*T2^3 + 2*T1^5*T2^3 + 
      2*T1^6*T2^3 - 2*T1^7*T2^3 + T2^4 + 2*T1*T2^4 - 6*T1^2*T2^4 - 
      4*T1^3*T2^4 + 24*T1^4*T2^4 - 4*T1^5*T2^4 - 6*T1^6*T2^4 + 2*T1^7*T2^4 + 
      T1^8*T2^4 - 2*T1*T2^5 + 2*T1^2*T2^5 + 2*T1^3*T2^5 - 4*T1^4*T2^5 - 
      4*T1^5*T2^5 + 2*T1^6*T2^5 + 2*T1^7*T2^5 - 2*T1^8*T2^5 + T1^2*T2^6 + 
      2*T1^3*T2^6 - 6*T1^4*T2^6 + 2*T1^5*T2^6 - 6*T1^6*T2^6 + 2*T1^7*T2^6 + 
      T1^8*T2^6 - 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 + T1^4*T2^8 - 2*T1^5*T2^8 + T1^6*T2^8 - 
      2*T1^7*T2^8 + T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[9, 43] -> {-((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 + 
      12*T1*T2 + 6*T1^2*T2 - 6*T1^3*T2 - 6*T1^4*T2 + 6*T1^5*T2 + 12*T1^6*T2 - 
      6*T1^7*T2 + 4*T2^2 + 6*T1*T2^2 - 41*T1^2*T2^2 + 19*T1^3*T2^2 - 
      T1^4*T2^2 + 19*T1^5*T2^2 - 41*T1^6*T2^2 + 6*T1^7*T2^2 + 4*T1^8*T2^2 - 
      2*T2^3 - 6*T1*T2^3 + 19*T1^2*T2^3 + 12*T1^3*T2^3 - 11*T1^4*T2^3 - 
      11*T1^5*T2^3 + 12*T1^6*T2^3 + 19*T1^7*T2^3 - 6*T1^8*T2^3 - 
      2*T1^9*T2^3 + 4*T2^4 - 6*T1*T2^4 - T1^2*T2^4 - 11*T1^3*T2^4 + 
      8*T1^4*T2^4 - 4*T1^5*T2^4 + 8*T1^6*T2^4 - 11*T1^7*T2^4 - T1^8*T2^4 - 
      6*T1^9*T2^4 + 4*T1^10*T2^4 - 6*T2^5 + 6*T1*T2^5 + 19*T1^2*T2^5 - 
      11*T1^3*T2^5 - 4*T1^4*T2^5 + 4*T1^5*T2^5 + 4*T1^6*T2^5 - 4*T1^7*T2^5 - 
      11*T1^8*T2^5 + 19*T1^9*T2^5 + 6*T1^10*T2^5 - 6*T1^11*T2^5 + 2*T2^6 + 
      12*T1*T2^6 - 41*T1^2*T2^6 + 12*T1^3*T2^6 + 8*T1^4*T2^6 + 4*T1^5*T2^6 - 
      12*T1^6*T2^6 + 4*T1^7*T2^6 + 8*T1^8*T2^6 + 12*T1^9*T2^6 - 
      41*T1^10*T2^6 + 12*T1^11*T2^6 + 2*T1^12*T2^6 - 6*T1*T2^7 + 
      6*T1^2*T2^7 + 19*T1^3*T2^7 - 11*T1^4*T2^7 - 4*T1^5*T2^7 + 4*T1^6*T2^7 + 
      4*T1^7*T2^7 - 4*T1^8*T2^7 - 11*T1^9*T2^7 + 19*T1^10*T2^7 + 
      6*T1^11*T2^7 - 6*T1^12*T2^7 + 4*T1^2*T2^8 - 6*T1^3*T2^8 - T1^4*T2^8 - 
      11*T1^5*T2^8 + 8*T1^6*T2^8 - 4*T1^7*T2^8 + 8*T1^8*T2^8 - 11*T1^9*T2^8 - 
      T1^10*T2^8 - 6*T1^11*T2^8 + 4*T1^12*T2^8 - 2*T1^3*T2^9 - 6*T1^4*T2^9 + 
      19*T1^5*T2^9 + 12*T1^6*T2^9 - 11*T1^7*T2^9 - 11*T1^8*T2^9 + 
      12*T1^9*T2^9 + 19*T1^10*T2^9 - 6*T1^11*T2^9 - 2*T1^12*T2^9 + 
      4*T1^4*T2^10 + 6*T1^5*T2^10 - 41*T1^6*T2^10 + 19*T1^7*T2^10 - 
      T1^8*T2^10 + 19*T1^9*T2^10 - 41*T1^10*T2^10 + 6*T1^11*T2^10 + 
      4*T1^12*T2^10 - 6*T1^5*T2^11 + 12*T1^6*T2^11 + 6*T1^7*T2^11 - 
      6*T1^8*T2^11 - 6*T1^9*T2^11 + 6*T1^10*T2^11 + 12*T1^11*T2^11 - 
      6*T1^12*T2^11 + 2*T1^6*T2^12 - 6*T1^7*T2^12 + 4*T1^8*T2^12 - 
      2*T1^9*T2^12 + 4*T1^10*T2^12 - 6*T1^11*T2^12 + 2*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[9, 44] -> {(1 - 4*T + 7*T^2 - 4*T^3 + T^4)/T^2, 
   (T1 + T1^2 + T2 - 9*T1*T2 + 3*T1^2*T2 - 9*T1^3*T2 + T1^4*T2 + T2^2 + 
     3*T1*T2^2 + 12*T1^2*T2^2 + 12*T1^3*T2^2 + 3*T1^4*T2^2 + T1^5*T2^2 - 
     9*T1*T2^3 + 12*T1^2*T2^3 - 48*T1^3*T2^3 + 12*T1^4*T2^3 - 9*T1^5*T2^3 + 
     T1*T2^4 + 3*T1^2*T2^4 + 12*T1^3*T2^4 + 12*T1^4*T2^4 + 3*T1^5*T2^4 + 
     T1^6*T2^4 + T1^2*T2^5 - 9*T1^3*T2^5 + 3*T1^4*T2^5 - 9*T1^5*T2^5 + 
     T1^6*T2^5 + T1^4*T2^6 + T1^5*T2^6)/(T1^3*T2^3)}, 
 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 + 32*T1*T2 - 18*T1^2*T2 - 
     18*T1^3*T2 + 32*T1^4*T2 - 6*T1^5*T2 + 9*T2^2 - 18*T1*T2^2 - 
     154*T1^2*T2^2 + 250*T1^3*T2^2 - 154*T1^4*T2^2 - 18*T1^5*T2^2 + 
     9*T1^6*T2^2 - 6*T2^3 - 18*T1*T2^3 + 250*T1^2*T2^3 - 142*T1^3*T2^3 - 
     142*T1^4*T2^3 + 250*T1^5*T2^3 - 18*T1^6*T2^3 - 6*T1^7*T2^3 + T2^4 + 
     32*T1*T2^4 - 154*T1^2*T2^4 - 142*T1^3*T2^4 + 312*T1^4*T2^4 - 
     142*T1^5*T2^4 - 154*T1^6*T2^4 + 32*T1^7*T2^4 + T1^8*T2^4 - 6*T1*T2^5 - 
     18*T1^2*T2^5 + 250*T1^3*T2^5 - 142*T1^4*T2^5 - 142*T1^5*T2^5 + 
     250*T1^6*T2^5 - 18*T1^7*T2^5 - 6*T1^8*T2^5 + 9*T1^2*T2^6 - 
     18*T1^3*T2^6 - 154*T1^4*T2^6 + 250*T1^5*T2^6 - 154*T1^6*T2^6 - 
     18*T1^7*T2^6 + 9*T1^8*T2^6 - 6*T1^3*T2^7 + 32*T1^4*T2^7 - 18*T1^5*T2^7 - 
     18*T1^6*T2^7 + 32*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)/(T1^4*T2^4)}, 
 Knot[9, 46] -> {-(((-2 + T)*(-1 + 2*T))/T), 
   (3*(1 - 3*T1 + T1^2 - 3*T2 + 6*T1*T2 + 6*T1^2*T2 - 3*T1^3*T2 + T2^2 + 
      6*T1*T2^2 - 24*T1^2*T2^2 + 6*T1^3*T2^2 + T1^4*T2^2 - 3*T1*T2^3 + 
      6*T1^2*T2^3 + 6*T1^3*T2^3 - 3*T1^4*T2^3 + T1^2*T2^4 - 3*T1^3*T2^4 + 
      T1^4*T2^4))/(T1^2*T2^2)}, Knot[9, 47] -> 
  {(1 - 4*T + 6*T^2 - 5*T^3 + 6*T^4 - 4*T^5 + T^6)/T^3, 
   (1 - 4*T1 + 6*T1^2 - 5*T1^3 + 6*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 12*T1*T2 - 
     8*T1^2*T2 - 4*T1^3*T2 - 4*T1^4*T2 - 8*T1^5*T2 + 12*T1^6*T2 - 4*T1^7*T2 + 
     6*T2^2 - 8*T1*T2^2 - 22*T1^2*T2^2 + 42*T1^3*T2^2 - 8*T1^4*T2^2 + 
     42*T1^5*T2^2 - 22*T1^6*T2^2 - 8*T1^7*T2^2 + 6*T1^8*T2^2 - 5*T2^3 - 
     4*T1*T2^3 + 42*T1^2*T2^3 - 28*T1^3*T2^3 - 31*T1^4*T2^3 - 31*T1^5*T2^3 - 
     28*T1^6*T2^3 + 42*T1^7*T2^3 - 4*T1^8*T2^3 - 5*T1^9*T2^3 + 6*T2^4 - 
     4*T1*T2^4 - 8*T1^2*T2^4 - 31*T1^3*T2^4 + 77*T1^4*T2^4 - 23*T1^5*T2^4 + 
     77*T1^6*T2^4 - 31*T1^7*T2^4 - 8*T1^8*T2^4 - 4*T1^9*T2^4 + 6*T1^10*T2^4 - 
     4*T2^5 - 8*T1*T2^5 + 42*T1^2*T2^5 - 31*T1^3*T2^5 - 23*T1^4*T2^5 - 
     23*T1^7*T2^5 - 31*T1^8*T2^5 + 42*T1^9*T2^5 - 8*T1^10*T2^5 - 
     4*T1^11*T2^5 + T2^6 + 12*T1*T2^6 - 22*T1^2*T2^6 - 28*T1^3*T2^6 + 
     77*T1^4*T2^6 - 36*T1^6*T2^6 + 77*T1^8*T2^6 - 28*T1^9*T2^6 - 
     22*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 8*T1^2*T2^7 + 
     42*T1^3*T2^7 - 31*T1^4*T2^7 - 23*T1^5*T2^7 - 23*T1^8*T2^7 - 
     31*T1^9*T2^7 + 42*T1^10*T2^7 - 8*T1^11*T2^7 - 4*T1^12*T2^7 + 
     6*T1^2*T2^8 - 4*T1^3*T2^8 - 8*T1^4*T2^8 - 31*T1^5*T2^8 + 77*T1^6*T2^8 - 
     23*T1^7*T2^8 + 77*T1^8*T2^8 - 31*T1^9*T2^8 - 8*T1^10*T2^8 - 
     4*T1^11*T2^8 + 6*T1^12*T2^8 - 5*T1^3*T2^9 - 4*T1^4*T2^9 + 42*T1^5*T2^9 - 
     28*T1^6*T2^9 - 31*T1^7*T2^9 - 31*T1^8*T2^9 - 28*T1^9*T2^9 + 
     42*T1^10*T2^9 - 4*T1^11*T2^9 - 5*T1^12*T2^9 + 6*T1^4*T2^10 - 
     8*T1^5*T2^10 - 22*T1^6*T2^10 + 42*T1^7*T2^10 - 8*T1^8*T2^10 + 
     42*T1^9*T2^10 - 22*T1^10*T2^10 - 8*T1^11*T2^10 + 6*T1^12*T2^10 - 
     4*T1^5*T2^11 + 12*T1^6*T2^11 - 8*T1^7*T2^11 - 4*T1^8*T2^11 - 
     4*T1^9*T2^11 - 8*T1^10*T2^11 + 12*T1^11*T2^11 - 4*T1^12*T2^11 + 
     T1^6*T2^12 - 4*T1^7*T2^12 + 6*T1^8*T2^12 - 5*T1^9*T2^12 + 
     6*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[9, 48] -> {-((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 + 42*T1*T2 - 28*T1^2*T2 - 
      28*T1^3*T2 + 42*T1^4*T2 - 7*T1^5*T2 + 11*T2^2 - 28*T1*T2^2 - 
      183*T1^2*T2^2 + 333*T1^3*T2^2 - 183*T1^4*T2^2 - 28*T1^5*T2^2 + 
      11*T1^6*T2^2 - 7*T2^3 - 28*T1*T2^3 + 333*T1^2*T2^3 - 224*T1^3*T2^3 - 
      224*T1^4*T2^3 + 333*T1^5*T2^3 - 28*T1^6*T2^3 - 7*T1^7*T2^3 + T2^4 + 
      42*T1*T2^4 - 183*T1^2*T2^4 - 224*T1^3*T2^4 + 540*T1^4*T2^4 - 
      224*T1^5*T2^4 - 183*T1^6*T2^4 + 42*T1^7*T2^4 + T1^8*T2^4 - 7*T1*T2^5 - 
      28*T1^2*T2^5 + 333*T1^3*T2^5 - 224*T1^4*T2^5 - 224*T1^5*T2^5 + 
      333*T1^6*T2^5 - 28*T1^7*T2^5 - 7*T1^8*T2^5 + 11*T1^2*T2^6 - 
      28*T1^3*T2^6 - 183*T1^4*T2^6 + 333*T1^5*T2^6 - 183*T1^6*T2^6 - 
      28*T1^7*T2^6 + 11*T1^8*T2^6 - 7*T1^3*T2^7 + 42*T1^4*T2^7 - 
      28*T1^5*T2^7 - 28*T1^6*T2^7 + 42*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)/(T1^4*T2^4))}, 
 Knot[9, 49] -> {(3 - 6*T + 7*T^2 - 6*T^3 + 3*T^4)/T^2, 
   (57 - 111*T1 + 129*T1^2 - 111*T1^3 + 57*T1^4 - 111*T2 + 106*T1*T2 - 
     35*T1^2*T2 - 35*T1^3*T2 + 106*T1^4*T2 - 111*T1^5*T2 + 129*T2^2 - 
     35*T1*T2^2 - 42*T1^2*T2^2 + 54*T1^3*T2^2 - 42*T1^4*T2^2 - 35*T1^5*T2^2 + 
     129*T1^6*T2^2 - 111*T2^3 - 35*T1*T2^3 + 54*T1^2*T2^3 - 18*T1^3*T2^3 - 
     18*T1^4*T2^3 + 54*T1^5*T2^3 - 35*T1^6*T2^3 - 111*T1^7*T2^3 + 57*T2^4 + 
     106*T1*T2^4 - 42*T1^2*T2^4 - 18*T1^3*T2^4 + 36*T1^4*T2^4 - 
     18*T1^5*T2^4 - 42*T1^6*T2^4 + 106*T1^7*T2^4 + 57*T1^8*T2^4 - 
     111*T1*T2^5 - 35*T1^2*T2^5 + 54*T1^3*T2^5 - 18*T1^4*T2^5 - 
     18*T1^5*T2^5 + 54*T1^6*T2^5 - 35*T1^7*T2^5 - 111*T1^8*T2^5 + 
     129*T1^2*T2^6 - 35*T1^3*T2^6 - 42*T1^4*T2^6 + 54*T1^5*T2^6 - 
     42*T1^6*T2^6 - 35*T1^7*T2^6 + 129*T1^8*T2^6 - 111*T1^3*T2^7 + 
     106*T1^4*T2^7 - 35*T1^5*T2^7 - 35*T1^6*T2^7 + 106*T1^7*T2^7 - 
     111*T1^8*T2^7 + 57*T1^4*T2^8 - 111*T1^5*T2^8 + 129*T1^6*T2^8 - 
     111*T1^7*T2^8 + 57*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[10, 1] -> {-((4 - 9*T + 4*T^2)/T), 
   (2*(18 - 43*T1 + 18*T1^2 - 43*T2 + 60*T1*T2 + 60*T1^2*T2 - 43*T1^3*T2 + 
      18*T2^2 + 60*T1*T2^2 - 210*T1^2*T2^2 + 60*T1^3*T2^2 + 18*T1^4*T2^2 - 
      43*T1*T2^3 + 60*T1^2*T2^3 + 60*T1^3*T2^3 - 43*T1^4*T2^3 + 
      18*T1^2*T2^4 - 43*T1^3*T2^4 + 18*T1^4*T2^4))/(T1^2*T2^2)}, 
 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), (3 - 9*T1 + 9*T1^2 - 9*T1^3 + 9*T1^4 - 9*T1^5 + 9*T1^6 - 
     9*T1^7 + 3*T1^8 - 9*T2 + 18*T1*T2 + 18*T1^8*T2 - 9*T1^9*T2 + 9*T2^2 - 
     45*T1^2*T2^2 + 29*T1^3*T2^2 - 29*T1^4*T2^2 + 29*T1^5*T2^2 - 
     29*T1^6*T2^2 + 29*T1^7*T2^2 - 45*T1^8*T2^2 + 9*T1^10*T2^2 - 9*T2^3 + 
     29*T1^2*T2^3 + 12*T1^3*T2^3 + 12*T1^8*T2^3 + 29*T1^9*T2^3 - 
     9*T1^11*T2^3 + 9*T2^4 - 29*T1^2*T2^4 - 30*T1^4*T2^4 + 20*T1^5*T2^4 - 
     20*T1^6*T2^4 + 20*T1^7*T2^4 - 30*T1^8*T2^4 - 29*T1^10*T2^4 + 
     9*T1^12*T2^4 - 9*T2^5 + 29*T1^2*T2^5 + 20*T1^4*T2^5 + 6*T1^5*T2^5 + 
     6*T1^8*T2^5 + 20*T1^9*T2^5 + 29*T1^11*T2^5 - 9*T1^13*T2^5 + 9*T2^6 - 
     29*T1^2*T2^6 - 20*T1^4*T2^6 - 15*T1^6*T2^6 + 11*T1^7*T2^6 - 
     15*T1^8*T2^6 - 20*T1^10*T2^6 - 29*T1^12*T2^6 + 9*T1^14*T2^6 - 9*T2^7 + 
     29*T1^2*T2^7 + 20*T1^4*T2^7 + 11*T1^6*T2^7 + 11*T1^9*T2^7 + 
     20*T1^11*T2^7 + 29*T1^13*T2^7 - 9*T1^15*T2^7 + 3*T2^8 + 18*T1*T2^8 - 
     45*T1^2*T2^8 + 12*T1^3*T2^8 - 30*T1^4*T2^8 + 6*T1^5*T2^8 - 
     15*T1^6*T2^8 - 15*T1^10*T2^8 + 6*T1^11*T2^8 - 30*T1^12*T2^8 + 
     12*T1^13*T2^8 - 45*T1^14*T2^8 + 18*T1^15*T2^8 + 3*T1^16*T2^8 - 
     9*T1*T2^9 + 29*T1^3*T2^9 + 20*T1^5*T2^9 + 11*T1^7*T2^9 + 11*T1^10*T2^9 + 
     20*T1^12*T2^9 + 29*T1^14*T2^9 - 9*T1^16*T2^9 + 9*T1^2*T2^10 - 
     29*T1^4*T2^10 - 20*T1^6*T2^10 - 15*T1^8*T2^10 + 11*T1^9*T2^10 - 
     15*T1^10*T2^10 - 20*T1^12*T2^10 - 29*T1^14*T2^10 + 9*T1^16*T2^10 - 
     9*T1^3*T2^11 + 29*T1^5*T2^11 + 20*T1^7*T2^11 + 6*T1^8*T2^11 + 
     6*T1^11*T2^11 + 20*T1^12*T2^11 + 29*T1^14*T2^11 - 9*T1^16*T2^11 + 
     9*T1^4*T2^12 - 29*T1^6*T2^12 - 30*T1^8*T2^12 + 20*T1^9*T2^12 - 
     20*T1^10*T2^12 + 20*T1^11*T2^12 - 30*T1^12*T2^12 - 29*T1^14*T2^12 + 
     9*T1^16*T2^12 - 9*T1^5*T2^13 + 29*T1^7*T2^13 + 12*T1^8*T2^13 + 
     12*T1^13*T2^13 + 29*T1^14*T2^13 - 9*T1^16*T2^13 + 9*T1^6*T2^14 - 
     45*T1^8*T2^14 + 29*T1^9*T2^14 - 29*T1^10*T2^14 + 29*T1^11*T2^14 - 
     29*T1^12*T2^14 + 29*T1^13*T2^14 - 45*T1^14*T2^14 + 9*T1^16*T2^14 - 
     9*T1^7*T2^15 + 18*T1^8*T2^15 + 18*T1^15*T2^15 - 9*T1^16*T2^15 + 
     3*T1^8*T2^16 - 9*T1^9*T2^16 + 9*T1^10*T2^16 - 9*T1^11*T2^16 + 
     9*T1^12*T2^16 - 9*T1^13*T2^16 + 9*T1^14*T2^16 - 9*T1^15*T2^16 + 
     3*T1^16*T2^16)/(T1^8*T2^8)}, Knot[10, 3] -> 
  {-(((-3 + 2*T)*(-2 + 3*T))/T), (45 - 101*T1 + 45*T1^2 - 101*T2 + 
     126*T1*T2 + 126*T1^2*T2 - 101*T1^3*T2 + 45*T2^2 + 126*T1*T2^2 - 
     420*T1^2*T2^2 + 126*T1^3*T2^2 + 45*T1^4*T2^2 - 101*T1*T2^3 + 
     126*T1^2*T2^3 + 126*T1^3*T2^3 - 101*T1^4*T2^3 + 45*T1^2*T2^4 - 
     101*T1^3*T2^4 + 45*T1^4*T2^4)/(T1^2*T2^2)}, 
 Knot[10, 4] -> {-((3 - 7*T + 7*T^2 - 7*T^3 + 3*T^4)/T^2), 
   (18 - 40*T1 + 40*T1^2 - 40*T1^3 + 18*T1^4 - 40*T2 + 48*T1*T2 + 
     48*T1^4*T2 - 40*T1^5*T2 + 40*T2^2 - 89*T1^2*T2^2 + 77*T1^3*T2^2 - 
     89*T1^4*T2^2 + 40*T1^6*T2^2 - 40*T2^3 + 77*T1^2*T2^3 - 36*T1^3*T2^3 - 
     36*T1^4*T2^3 + 77*T1^5*T2^3 - 40*T1^7*T2^3 + 18*T2^4 + 48*T1*T2^4 - 
     89*T1^2*T2^4 - 36*T1^3*T2^4 + 132*T1^4*T2^4 - 36*T1^5*T2^4 - 
     89*T1^6*T2^4 + 48*T1^7*T2^4 + 18*T1^8*T2^4 - 40*T1*T2^5 + 77*T1^3*T2^5 - 
     36*T1^4*T2^5 - 36*T1^5*T2^5 + 77*T1^6*T2^5 - 40*T1^8*T2^5 + 
     40*T1^2*T2^6 - 89*T1^4*T2^6 + 77*T1^5*T2^6 - 89*T1^6*T2^6 + 
     40*T1^8*T2^6 - 40*T1^3*T2^7 + 48*T1^4*T2^7 + 48*T1^7*T2^7 - 
     40*T1^8*T2^7 + 18*T1^4*T2^8 - 40*T1^5*T2^8 + 40*T1^6*T2^8 - 
     40*T1^7*T2^8 + 18*T1^8*T2^8)/(T1^4*T2^4)}, 
 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, (2 - 6*T1 + 10*T1^2 - 10*T1^3 + 10*T1^4 - 10*T1^5 + 
     10*T1^6 - 6*T1^7 + 2*T1^8 - 6*T2 + 12*T1*T2 - 12*T1^2*T2 - 12*T1^7*T2 + 
     12*T1^8*T2 - 6*T1^9*T2 + 10*T2^2 - 12*T1*T2^2 + 6*T1^2*T2^2 + 
     12*T1^3*T2^2 + 6*T1^4*T2^2 - 6*T1^5*T2^2 + 6*T1^6*T2^2 + 12*T1^7*T2^2 + 
     6*T1^8*T2^2 - 12*T1^9*T2^2 + 10*T1^10*T2^2 - 10*T2^3 + 12*T1^2*T2^3 - 
     26*T1^3*T2^3 - 14*T1^4*T2^3 - 14*T1^7*T2^3 - 26*T1^8*T2^3 + 
     12*T1^9*T2^3 - 10*T1^11*T2^3 + 10*T2^4 + 6*T1^2*T2^4 - 14*T1^3*T2^4 + 
     66*T1^4*T2^4 - 32*T1^5*T2^4 + 40*T1^6*T2^4 - 32*T1^7*T2^4 + 
     66*T1^8*T2^4 - 14*T1^9*T2^4 + 6*T1^10*T2^4 + 10*T1^12*T2^4 - 10*T2^5 - 
     6*T1^2*T2^5 - 32*T1^4*T2^5 - 16*T1^5*T2^5 - 4*T1^6*T2^5 - 4*T1^7*T2^5 - 
     16*T1^8*T2^5 - 32*T1^9*T2^5 - 6*T1^11*T2^5 - 10*T1^13*T2^5 + 10*T2^6 + 
     6*T1^2*T2^6 + 40*T1^4*T2^6 - 4*T1^5*T2^6 + 31*T1^6*T2^6 - 19*T1^7*T2^6 + 
     31*T1^8*T2^6 - 4*T1^9*T2^6 + 40*T1^10*T2^6 + 6*T1^12*T2^6 + 
     10*T1^14*T2^6 - 6*T2^7 - 12*T1*T2^7 + 12*T1^2*T2^7 - 14*T1^3*T2^7 - 
     32*T1^4*T2^7 - 4*T1^5*T2^7 - 19*T1^6*T2^7 - 19*T1^9*T2^7 - 
     4*T1^10*T2^7 - 32*T1^11*T2^7 - 14*T1^12*T2^7 + 12*T1^13*T2^7 - 
     12*T1^14*T2^7 - 6*T1^15*T2^7 + 2*T2^8 + 12*T1*T2^8 + 6*T1^2*T2^8 - 
     26*T1^3*T2^8 + 66*T1^4*T2^8 - 16*T1^5*T2^8 + 31*T1^6*T2^8 + 
     31*T1^10*T2^8 - 16*T1^11*T2^8 + 66*T1^12*T2^8 - 26*T1^13*T2^8 + 
     6*T1^14*T2^8 + 12*T1^15*T2^8 + 2*T1^16*T2^8 - 6*T1*T2^9 - 12*T1^2*T2^9 + 
     12*T1^3*T2^9 - 14*T1^4*T2^9 - 32*T1^5*T2^9 - 4*T1^6*T2^9 - 
     19*T1^7*T2^9 - 19*T1^10*T2^9 - 4*T1^11*T2^9 - 32*T1^12*T2^9 - 
     14*T1^13*T2^9 + 12*T1^14*T2^9 - 12*T1^15*T2^9 - 6*T1^16*T2^9 + 
     10*T1^2*T2^10 + 6*T1^4*T2^10 + 40*T1^6*T2^10 - 4*T1^7*T2^10 + 
     31*T1^8*T2^10 - 19*T1^9*T2^10 + 31*T1^10*T2^10 - 4*T1^11*T2^10 + 
     40*T1^12*T2^10 + 6*T1^14*T2^10 + 10*T1^16*T2^10 - 10*T1^3*T2^11 - 
     6*T1^5*T2^11 - 32*T1^7*T2^11 - 16*T1^8*T2^11 - 4*T1^9*T2^11 - 
     4*T1^10*T2^11 - 16*T1^11*T2^11 - 32*T1^12*T2^11 - 6*T1^14*T2^11 - 
     10*T1^16*T2^11 + 10*T1^4*T2^12 + 6*T1^6*T2^12 - 14*T1^7*T2^12 + 
     66*T1^8*T2^12 - 32*T1^9*T2^12 + 40*T1^10*T2^12 - 32*T1^11*T2^12 + 
     66*T1^12*T2^12 - 14*T1^13*T2^12 + 6*T1^14*T2^12 + 10*T1^16*T2^12 - 
     10*T1^5*T2^13 + 12*T1^7*T2^13 - 26*T1^8*T2^13 - 14*T1^9*T2^13 - 
     14*T1^12*T2^13 - 26*T1^13*T2^13 + 12*T1^14*T2^13 - 10*T1^16*T2^13 + 
     10*T1^6*T2^14 - 12*T1^7*T2^14 + 6*T1^8*T2^14 + 12*T1^9*T2^14 + 
     6*T1^10*T2^14 - 6*T1^11*T2^14 + 6*T1^12*T2^14 + 12*T1^13*T2^14 + 
     6*T1^14*T2^14 - 12*T1^15*T2^14 + 10*T1^16*T2^14 - 6*T1^7*T2^15 + 
     12*T1^8*T2^15 - 12*T1^9*T2^15 - 12*T1^14*T2^15 + 12*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)/(T1^8*T2^8)}, 
 Knot[10, 6] -> {-((2 - 6*T + 7*T^2 - 7*T^3 + 7*T^4 - 6*T^5 + 2*T^6)/T^3), 
   (17 - 51*T1 + 59*T1^2 - 59*T1^3 + 59*T1^4 - 51*T1^5 + 17*T1^6 - 51*T2 + 
     102*T1*T2 - 24*T1^2*T2 - 24*T1^5*T2 + 102*T1^6*T2 - 51*T1^7*T2 + 
     59*T2^2 - 24*T1*T2^2 - 201*T1^2*T2^2 + 171*T1^3*T2^2 - 147*T1^4*T2^2 + 
     171*T1^5*T2^2 - 201*T1^6*T2^2 - 24*T1^7*T2^2 + 59*T1^8*T2^2 - 59*T2^3 + 
     171*T1^2*T2^3 + 14*T1^3*T2^3 - 16*T1^4*T2^3 - 16*T1^5*T2^3 + 
     14*T1^6*T2^3 + 171*T1^7*T2^3 - 59*T1^9*T2^3 + 59*T2^4 - 147*T1^2*T2^4 - 
     16*T1^3*T2^4 - 85*T1^4*T2^4 + 97*T1^5*T2^4 - 85*T1^6*T2^4 - 
     16*T1^7*T2^4 - 147*T1^8*T2^4 + 59*T1^10*T2^4 - 51*T2^5 - 24*T1*T2^5 + 
     171*T1^2*T2^5 - 16*T1^3*T2^5 + 97*T1^4*T2^5 - 18*T1^5*T2^5 - 
     18*T1^6*T2^5 + 97*T1^7*T2^5 - 16*T1^8*T2^5 + 171*T1^9*T2^5 - 
     24*T1^10*T2^5 - 51*T1^11*T2^5 + 17*T2^6 + 102*T1*T2^6 - 201*T1^2*T2^6 + 
     14*T1^3*T2^6 - 85*T1^4*T2^6 - 18*T1^5*T2^6 + 12*T1^6*T2^6 - 
     18*T1^7*T2^6 - 85*T1^8*T2^6 + 14*T1^9*T2^6 - 201*T1^10*T2^6 + 
     102*T1^11*T2^6 + 17*T1^12*T2^6 - 51*T1*T2^7 - 24*T1^2*T2^7 + 
     171*T1^3*T2^7 - 16*T1^4*T2^7 + 97*T1^5*T2^7 - 18*T1^6*T2^7 - 
     18*T1^7*T2^7 + 97*T1^8*T2^7 - 16*T1^9*T2^7 + 171*T1^10*T2^7 - 
     24*T1^11*T2^7 - 51*T1^12*T2^7 + 59*T1^2*T2^8 - 147*T1^4*T2^8 - 
     16*T1^5*T2^8 - 85*T1^6*T2^8 + 97*T1^7*T2^8 - 85*T1^8*T2^8 - 
     16*T1^9*T2^8 - 147*T1^10*T2^8 + 59*T1^12*T2^8 - 59*T1^3*T2^9 + 
     171*T1^5*T2^9 + 14*T1^6*T2^9 - 16*T1^7*T2^9 - 16*T1^8*T2^9 + 
     14*T1^9*T2^9 + 171*T1^10*T2^9 - 59*T1^12*T2^9 + 59*T1^4*T2^10 - 
     24*T1^5*T2^10 - 201*T1^6*T2^10 + 171*T1^7*T2^10 - 147*T1^8*T2^10 + 
     171*T1^9*T2^10 - 201*T1^10*T2^10 - 24*T1^11*T2^10 + 59*T1^12*T2^10 - 
     51*T1^5*T2^11 + 102*T1^6*T2^11 - 24*T1^7*T2^11 - 24*T1^10*T2^11 + 
     102*T1^11*T2^11 - 51*T1^12*T2^11 + 17*T1^6*T2^12 - 51*T1^7*T2^12 + 
     59*T1^8*T2^12 - 59*T1^9*T2^12 + 59*T1^10*T2^12 - 51*T1^11*T2^12 + 
     17*T1^12*T2^12)/(T1^6*T2^6)}, Knot[10, 7] -> 
  {-((3 - 11*T + 15*T^2 - 11*T^3 + 3*T^4)/T^2), 
   (36 - 130*T1 + 174*T1^2 - 130*T1^3 + 36*T1^4 - 130*T2 + 340*T1*T2 - 
     160*T1^2*T2 - 160*T1^3*T2 + 340*T1^4*T2 - 130*T1^5*T2 + 174*T2^2 - 
     160*T1*T2^2 - 681*T1^2*T2^2 + 1041*T1^3*T2^2 - 681*T1^4*T2^2 - 
     160*T1^5*T2^2 + 174*T1^6*T2^2 - 130*T2^3 - 160*T1*T2^3 + 
     1041*T1^2*T2^3 - 500*T1^3*T2^3 - 500*T1^4*T2^3 + 1041*T1^5*T2^3 - 
     160*T1^6*T2^3 - 130*T1^7*T2^3 + 36*T2^4 + 340*T1*T2^4 - 681*T1^2*T2^4 - 
     500*T1^3*T2^4 + 1020*T1^4*T2^4 - 500*T1^5*T2^4 - 681*T1^6*T2^4 + 
     340*T1^7*T2^4 + 36*T1^8*T2^4 - 130*T1*T2^5 - 160*T1^2*T2^5 + 
     1041*T1^3*T2^5 - 500*T1^4*T2^5 - 500*T1^5*T2^5 + 1041*T1^6*T2^5 - 
     160*T1^7*T2^5 - 130*T1^8*T2^5 + 174*T1^2*T2^6 - 160*T1^3*T2^6 - 
     681*T1^4*T2^6 + 1041*T1^5*T2^6 - 681*T1^6*T2^6 - 160*T1^7*T2^6 + 
     174*T1^8*T2^6 - 130*T1^3*T2^7 + 340*T1^4*T2^7 - 160*T1^5*T2^7 - 
     160*T1^6*T2^7 + 340*T1^7*T2^7 - 130*T1^8*T2^7 + 36*T1^4*T2^8 - 
     130*T1^5*T2^8 + 174*T1^6*T2^8 - 130*T1^7*T2^8 + 36*T1^8*T2^8)/
    (T1^4*T2^4)}, Knot[10, 8] -> 
  {-((2 - 5*T + 5*T^2 - 5*T^3 + 5*T^4 - 5*T^5 + 2*T^6)/T^3), 
   (15 - 37*T1 + 37*T1^2 - 37*T1^3 + 37*T1^4 - 37*T1^5 + 15*T1^6 - 37*T2 + 
     54*T1*T2 + 54*T1^6*T2 - 37*T1^7*T2 + 37*T2^2 - 102*T1^2*T2^2 + 
     60*T1^3*T2^2 - 60*T1^4*T2^2 + 60*T1^5*T2^2 - 102*T1^6*T2^2 + 
     37*T1^8*T2^2 - 37*T2^3 + 60*T1^2*T2^3 + 24*T1^3*T2^3 + 24*T1^6*T2^3 + 
     60*T1^7*T2^3 - 37*T1^9*T2^3 + 37*T2^4 - 60*T1^2*T2^4 - 47*T1^4*T2^4 + 
     35*T1^5*T2^4 - 47*T1^6*T2^4 - 60*T1^8*T2^4 + 37*T1^10*T2^4 - 37*T2^5 + 
     60*T1^2*T2^5 + 35*T1^4*T2^5 - 6*T1^5*T2^5 - 6*T1^6*T2^5 + 35*T1^7*T2^5 + 
     60*T1^9*T2^5 - 37*T1^11*T2^5 + 15*T2^6 + 54*T1*T2^6 - 102*T1^2*T2^6 + 
     24*T1^3*T2^6 - 47*T1^4*T2^6 - 6*T1^5*T2^6 + 24*T1^6*T2^6 - 6*T1^7*T2^6 - 
     47*T1^8*T2^6 + 24*T1^9*T2^6 - 102*T1^10*T2^6 + 54*T1^11*T2^6 + 
     15*T1^12*T2^6 - 37*T1*T2^7 + 60*T1^3*T2^7 + 35*T1^5*T2^7 - 6*T1^6*T2^7 - 
     6*T1^7*T2^7 + 35*T1^8*T2^7 + 60*T1^10*T2^7 - 37*T1^12*T2^7 + 
     37*T1^2*T2^8 - 60*T1^4*T2^8 - 47*T1^6*T2^8 + 35*T1^7*T2^8 - 
     47*T1^8*T2^8 - 60*T1^10*T2^8 + 37*T1^12*T2^8 - 37*T1^3*T2^9 + 
     60*T1^5*T2^9 + 24*T1^6*T2^9 + 24*T1^9*T2^9 + 60*T1^10*T2^9 - 
     37*T1^12*T2^9 + 37*T1^4*T2^10 - 102*T1^6*T2^10 + 60*T1^7*T2^10 - 
     60*T1^8*T2^10 + 60*T1^9*T2^10 - 102*T1^10*T2^10 + 37*T1^12*T2^10 - 
     37*T1^5*T2^11 + 54*T1^6*T2^11 + 54*T1^11*T2^11 - 37*T1^12*T2^11 + 
     15*T1^6*T2^12 - 37*T1^7*T2^12 + 37*T1^8*T2^12 - 37*T1^9*T2^12 + 
     37*T1^10*T2^12 - 37*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^6*T2^6)}, 
 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), -((1 - 3*T1 + 5*T1^2 - 7*T1^3 + 7*T1^4 - 7*T1^5 + 5*T1^6 - 
      3*T1^7 + T1^8 - 3*T2 + 6*T1*T2 - 6*T1^2*T2 + 6*T1^3*T2 + 6*T1^6*T2 - 
      6*T1^7*T2 + 6*T1^8*T2 - 3*T1^9*T2 + 5*T2^2 - 6*T1*T2^2 + 3*T1^2*T2^2 - 
      5*T1^3*T2^2 - 5*T1^4*T2^2 - 3*T1^5*T2^2 - 5*T1^6*T2^2 - 5*T1^7*T2^2 + 
      3*T1^8*T2^2 - 6*T1^9*T2^2 + 5*T1^10*T2^2 - 7*T2^3 + 6*T1*T2^3 - 
      5*T1^2*T2^3 + 12*T1^3*T2^3 + 8*T1^4*T2^3 + 8*T1^5*T2^3 + 8*T1^6*T2^3 + 
      8*T1^7*T2^3 + 12*T1^8*T2^3 - 5*T1^9*T2^3 + 6*T1^10*T2^3 - 
      7*T1^11*T2^3 + 7*T2^4 - 5*T1^2*T2^4 + 8*T1^3*T2^4 - 47*T1^4*T2^4 + 
      23*T1^5*T2^4 - 47*T1^6*T2^4 + 23*T1^7*T2^4 - 47*T1^8*T2^4 + 
      8*T1^9*T2^4 - 5*T1^10*T2^4 + 7*T1^12*T2^4 - 7*T2^5 - 3*T1^2*T2^5 + 
      8*T1^3*T2^5 + 23*T1^4*T2^5 + 16*T1^5*T2^5 + 12*T1^6*T2^5 + 
      12*T1^7*T2^5 + 16*T1^8*T2^5 + 23*T1^9*T2^5 + 8*T1^10*T2^5 - 
      3*T1^11*T2^5 - 7*T1^13*T2^5 + 5*T2^6 + 6*T1*T2^6 - 5*T1^2*T2^6 + 
      8*T1^3*T2^6 - 47*T1^4*T2^6 + 12*T1^5*T2^6 - 47*T1^6*T2^6 + 
      27*T1^7*T2^6 - 47*T1^8*T2^6 + 12*T1^9*T2^6 - 47*T1^10*T2^6 + 
      8*T1^11*T2^6 - 5*T1^12*T2^6 + 6*T1^13*T2^6 + 5*T1^14*T2^6 - 3*T2^7 - 
      6*T1*T2^7 - 5*T1^2*T2^7 + 8*T1^3*T2^7 + 23*T1^4*T2^7 + 12*T1^5*T2^7 + 
      27*T1^6*T2^7 + 27*T1^9*T2^7 + 12*T1^10*T2^7 + 23*T1^11*T2^7 + 
      8*T1^12*T2^7 - 5*T1^13*T2^7 - 6*T1^14*T2^7 - 3*T1^15*T2^7 + T2^8 + 
      6*T1*T2^8 + 3*T1^2*T2^8 + 12*T1^3*T2^8 - 47*T1^4*T2^8 + 16*T1^5*T2^8 - 
      47*T1^6*T2^8 - 47*T1^10*T2^8 + 16*T1^11*T2^8 - 47*T1^12*T2^8 + 
      12*T1^13*T2^8 + 3*T1^14*T2^8 + 6*T1^15*T2^8 + T1^16*T2^8 - 3*T1*T2^9 - 
      6*T1^2*T2^9 - 5*T1^3*T2^9 + 8*T1^4*T2^9 + 23*T1^5*T2^9 + 12*T1^6*T2^9 + 
      27*T1^7*T2^9 + 27*T1^10*T2^9 + 12*T1^11*T2^9 + 23*T1^12*T2^9 + 
      8*T1^13*T2^9 - 5*T1^14*T2^9 - 6*T1^15*T2^9 - 3*T1^16*T2^9 + 
      5*T1^2*T2^10 + 6*T1^3*T2^10 - 5*T1^4*T2^10 + 8*T1^5*T2^10 - 
      47*T1^6*T2^10 + 12*T1^7*T2^10 - 47*T1^8*T2^10 + 27*T1^9*T2^10 - 
      47*T1^10*T2^10 + 12*T1^11*T2^10 - 47*T1^12*T2^10 + 8*T1^13*T2^10 - 
      5*T1^14*T2^10 + 6*T1^15*T2^10 + 5*T1^16*T2^10 - 7*T1^3*T2^11 - 
      3*T1^5*T2^11 + 8*T1^6*T2^11 + 23*T1^7*T2^11 + 16*T1^8*T2^11 + 
      12*T1^9*T2^11 + 12*T1^10*T2^11 + 16*T1^11*T2^11 + 23*T1^12*T2^11 + 
      8*T1^13*T2^11 - 3*T1^14*T2^11 - 7*T1^16*T2^11 + 7*T1^4*T2^12 - 
      5*T1^6*T2^12 + 8*T1^7*T2^12 - 47*T1^8*T2^12 + 23*T1^9*T2^12 - 
      47*T1^10*T2^12 + 23*T1^11*T2^12 - 47*T1^12*T2^12 + 8*T1^13*T2^12 - 
      5*T1^14*T2^12 + 7*T1^16*T2^12 - 7*T1^5*T2^13 + 6*T1^6*T2^13 - 
      5*T1^7*T2^13 + 12*T1^8*T2^13 + 8*T1^9*T2^13 + 8*T1^10*T2^13 + 
      8*T1^11*T2^13 + 8*T1^12*T2^13 + 12*T1^13*T2^13 - 5*T1^14*T2^13 + 
      6*T1^15*T2^13 - 7*T1^16*T2^13 + 5*T1^6*T2^14 - 6*T1^7*T2^14 + 
      3*T1^8*T2^14 - 5*T1^9*T2^14 - 5*T1^10*T2^14 - 3*T1^11*T2^14 - 
      5*T1^12*T2^14 - 5*T1^13*T2^14 + 3*T1^14*T2^14 - 6*T1^15*T2^14 + 
      5*T1^16*T2^14 - 3*T1^7*T2^15 + 6*T1^8*T2^15 - 6*T1^9*T2^15 + 
      6*T1^10*T2^15 + 6*T1^13*T2^15 - 6*T1^14*T2^15 + 6*T1^15*T2^15 - 
      3*T1^16*T2^15 + T1^8*T2^16 - 3*T1^9*T2^16 + 5*T1^10*T2^16 - 
      7*T1^11*T2^16 + 7*T1^12*T2^16 - 7*T1^13*T2^16 + 5*T1^14*T2^16 - 
      3*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[10, 10] -> {(3 - 11*T + 17*T^2 - 11*T^3 + 3*T^4)/T^2, 
   (9 - 31*T1 + 49*T1^2 - 31*T1^3 + 9*T1^4 - 31*T2 + 76*T1*T2 - 62*T1^2*T2 - 
     62*T1^3*T2 + 76*T1^4*T2 - 31*T1^5*T2 + 49*T2^2 - 62*T1*T2^2 - 
     36*T1^2*T2^2 + 222*T1^3*T2^2 - 36*T1^4*T2^2 - 62*T1^5*T2^2 + 
     49*T1^6*T2^2 - 31*T2^3 - 62*T1*T2^3 + 222*T1^2*T2^3 - 262*T1^3*T2^3 - 
     262*T1^4*T2^3 + 222*T1^5*T2^3 - 62*T1^6*T2^3 - 31*T1^7*T2^3 + 9*T2^4 + 
     76*T1*T2^4 - 36*T1^2*T2^4 - 262*T1^3*T2^4 + 768*T1^4*T2^4 - 
     262*T1^5*T2^4 - 36*T1^6*T2^4 + 76*T1^7*T2^4 + 9*T1^8*T2^4 - 31*T1*T2^5 - 
     62*T1^2*T2^5 + 222*T1^3*T2^5 - 262*T1^4*T2^5 - 262*T1^5*T2^5 + 
     222*T1^6*T2^5 - 62*T1^7*T2^5 - 31*T1^8*T2^5 + 49*T1^2*T2^6 - 
     62*T1^3*T2^6 - 36*T1^4*T2^6 + 222*T1^5*T2^6 - 36*T1^6*T2^6 - 
     62*T1^7*T2^6 + 49*T1^8*T2^6 - 31*T1^3*T2^7 + 76*T1^4*T2^7 - 
     62*T1^5*T2^7 - 62*T1^6*T2^7 + 76*T1^7*T2^7 - 31*T1^8*T2^7 + 
     9*T1^4*T2^8 - 31*T1^5*T2^8 + 49*T1^6*T2^8 - 31*T1^7*T2^8 + 9*T1^8*T2^8)/
    (T1^4*T2^4)}, Knot[10, 11] -> 
  {-((4 - 11*T + 13*T^2 - 11*T^3 + 4*T^4)/T^2), 
   (2*(32 - 86*T1 + 100*T1^2 - 86*T1^3 + 32*T1^4 - 86*T2 + 145*T1*T2 - 
      38*T1^2*T2 - 38*T1^3*T2 + 145*T1^4*T2 - 86*T1^5*T2 + 100*T2^2 - 
      38*T1*T2^2 - 237*T1^2*T2^2 + 256*T1^3*T2^2 - 237*T1^4*T2^2 - 
      38*T1^5*T2^2 + 100*T1^6*T2^2 - 86*T2^3 - 38*T1*T2^3 + 256*T1^2*T2^3 - 
      67*T1^3*T2^3 - 67*T1^4*T2^3 + 256*T1^5*T2^3 - 38*T1^6*T2^3 - 
      86*T1^7*T2^3 + 32*T2^4 + 145*T1*T2^4 - 237*T1^2*T2^4 - 67*T1^3*T2^4 + 
      114*T1^4*T2^4 - 67*T1^5*T2^4 - 237*T1^6*T2^4 + 145*T1^7*T2^4 + 
      32*T1^8*T2^4 - 86*T1*T2^5 - 38*T1^2*T2^5 + 256*T1^3*T2^5 - 
      67*T1^4*T2^5 - 67*T1^5*T2^5 + 256*T1^6*T2^5 - 38*T1^7*T2^5 - 
      86*T1^8*T2^5 + 100*T1^2*T2^6 - 38*T1^3*T2^6 - 237*T1^4*T2^6 + 
      256*T1^5*T2^6 - 237*T1^6*T2^6 - 38*T1^7*T2^6 + 100*T1^8*T2^6 - 
      86*T1^3*T2^7 + 145*T1^4*T2^7 - 38*T1^5*T2^7 - 38*T1^6*T2^7 + 
      145*T1^7*T2^7 - 86*T1^8*T2^7 + 32*T1^4*T2^8 - 86*T1^5*T2^8 + 
      100*T1^6*T2^8 - 86*T1^7*T2^8 + 32*T1^8*T2^8))/(T1^4*T2^4)}, 
 Knot[10, 12] -> {(2 - 6*T + 10*T^2 - 11*T^3 + 10*T^4 - 6*T^5 + 2*T^6)/T^3, 
   (9 - 27*T1 + 45*T1^2 - 49*T1^3 + 45*T1^4 - 27*T1^5 + 9*T1^6 - 27*T2 + 
     54*T1*T2 - 54*T1^2*T2 + 12*T1^3*T2 + 12*T1^4*T2 - 54*T1^5*T2 + 
     54*T1^6*T2 - 27*T1^7*T2 + 45*T2^2 - 54*T1*T2^2 + 27*T1^2*T2^2 + 
     37*T1^3*T2^2 - 15*T1^4*T2^2 + 37*T1^5*T2^2 + 27*T1^6*T2^2 - 
     54*T1^7*T2^2 + 45*T1^8*T2^2 - 49*T2^3 + 12*T1*T2^3 + 37*T1^2*T2^3 - 
     94*T1^3*T2^3 - 2*T1^4*T2^3 - 2*T1^5*T2^3 - 94*T1^6*T2^3 + 37*T1^7*T2^3 + 
     12*T1^8*T2^3 - 49*T1^9*T2^3 + 45*T2^4 + 12*T1*T2^4 - 15*T1^2*T2^4 - 
     2*T1^3*T2^4 + 171*T1^4*T2^4 - 139*T1^5*T2^4 + 171*T1^6*T2^4 - 
     2*T1^7*T2^4 - 15*T1^8*T2^4 + 12*T1^9*T2^4 + 45*T1^10*T2^4 - 27*T2^5 - 
     54*T1*T2^5 + 37*T1^2*T2^5 - 2*T1^3*T2^5 - 139*T1^4*T2^5 + 14*T1^5*T2^5 + 
     14*T1^6*T2^5 - 139*T1^7*T2^5 - 2*T1^8*T2^5 + 37*T1^9*T2^5 - 
     54*T1^10*T2^5 - 27*T1^11*T2^5 + 9*T2^6 + 54*T1*T2^6 + 27*T1^2*T2^6 - 
     94*T1^3*T2^6 + 171*T1^4*T2^6 + 14*T1^5*T2^6 + 14*T1^7*T2^6 + 
     171*T1^8*T2^6 - 94*T1^9*T2^6 + 27*T1^10*T2^6 + 54*T1^11*T2^6 + 
     9*T1^12*T2^6 - 27*T1*T2^7 - 54*T1^2*T2^7 + 37*T1^3*T2^7 - 2*T1^4*T2^7 - 
     139*T1^5*T2^7 + 14*T1^6*T2^7 + 14*T1^7*T2^7 - 139*T1^8*T2^7 - 
     2*T1^9*T2^7 + 37*T1^10*T2^7 - 54*T1^11*T2^7 - 27*T1^12*T2^7 + 
     45*T1^2*T2^8 + 12*T1^3*T2^8 - 15*T1^4*T2^8 - 2*T1^5*T2^8 + 
     171*T1^6*T2^8 - 139*T1^7*T2^8 + 171*T1^8*T2^8 - 2*T1^9*T2^8 - 
     15*T1^10*T2^8 + 12*T1^11*T2^8 + 45*T1^12*T2^8 - 49*T1^3*T2^9 + 
     12*T1^4*T2^9 + 37*T1^5*T2^9 - 94*T1^6*T2^9 - 2*T1^7*T2^9 - 2*T1^8*T2^9 - 
     94*T1^9*T2^9 + 37*T1^10*T2^9 + 12*T1^11*T2^9 - 49*T1^12*T2^9 + 
     45*T1^4*T2^10 - 54*T1^5*T2^10 + 27*T1^6*T2^10 + 37*T1^7*T2^10 - 
     15*T1^8*T2^10 + 37*T1^9*T2^10 + 27*T1^10*T2^10 - 54*T1^11*T2^10 + 
     45*T1^12*T2^10 - 27*T1^5*T2^11 + 54*T1^6*T2^11 - 54*T1^7*T2^11 + 
     12*T1^8*T2^11 + 12*T1^9*T2^11 - 54*T1^10*T2^11 + 54*T1^11*T2^11 - 
     27*T1^12*T2^11 + 9*T1^6*T2^12 - 27*T1^7*T2^12 + 45*T1^8*T2^12 - 
     49*T1^9*T2^12 + 45*T1^10*T2^12 - 27*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[10, 13] -> {(2 - 13*T + 23*T^2 - 13*T^3 + 2*T^4)/T^2, 
   -((1 - 7*T1 + 13*T1^2 - 7*T1^3 + T1^4 - 7*T2 + 42*T1*T2 - 42*T1^2*T2 - 
      42*T1^3*T2 + 42*T1^4*T2 - 7*T1^5*T2 + 13*T2^2 - 42*T1*T2^2 - 
      184*T1^2*T2^2 + 502*T1^3*T2^2 - 184*T1^4*T2^2 - 42*T1^5*T2^2 + 
      13*T1^6*T2^2 - 7*T2^3 - 42*T1*T2^3 + 502*T1^2*T2^3 - 552*T1^3*T2^3 - 
      552*T1^4*T2^3 + 502*T1^5*T2^3 - 42*T1^6*T2^3 - 7*T1^7*T2^3 + T2^4 + 
      42*T1*T2^4 - 184*T1^2*T2^4 - 552*T1^3*T2^4 + 1656*T1^4*T2^4 - 
      552*T1^5*T2^4 - 184*T1^6*T2^4 + 42*T1^7*T2^4 + T1^8*T2^4 - 7*T1*T2^5 - 
      42*T1^2*T2^5 + 502*T1^3*T2^5 - 552*T1^4*T2^5 - 552*T1^5*T2^5 + 
      502*T1^6*T2^5 - 42*T1^7*T2^5 - 7*T1^8*T2^5 + 13*T1^2*T2^6 - 
      42*T1^3*T2^6 - 184*T1^4*T2^6 + 502*T1^5*T2^6 - 184*T1^6*T2^6 - 
      42*T1^7*T2^6 + 13*T1^8*T2^6 - 7*T1^3*T2^7 + 42*T1^4*T2^7 - 
      42*T1^5*T2^7 - 42*T1^6*T2^7 + 42*T1^7*T2^7 - 7*T1^8*T2^7 + T1^4*T2^8 - 
      7*T1^5*T2^8 + 13*T1^6*T2^8 - 7*T1^7*T2^8 + T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[10, 14] -> {-((2 - 8*T + 12*T^2 - 13*T^3 + 12*T^4 - 8*T^5 + 2*T^6)/
     T^3), (17 - 67*T1 + 99*T1^2 - 107*T1^3 + 99*T1^4 - 67*T1^5 + 17*T1^6 - 
     67*T2 + 198*T1*T2 - 128*T1^2*T2 + 32*T1^3*T2 + 32*T1^4*T2 - 
     128*T1^5*T2 + 198*T1^6*T2 - 67*T1^7*T2 + 99*T2^2 - 128*T1*T2^2 - 
     368*T1^2*T2^2 + 558*T1^3*T2^2 - 554*T1^4*T2^2 + 558*T1^5*T2^2 - 
     368*T1^6*T2^2 - 128*T1^7*T2^2 + 99*T1^8*T2^2 - 107*T2^3 + 32*T1*T2^3 + 
     558*T1^2*T2^3 - 280*T1^3*T2^3 + 32*T1^4*T2^3 + 32*T1^5*T2^3 - 
     280*T1^6*T2^3 + 558*T1^7*T2^3 + 32*T1^8*T2^3 - 107*T1^9*T2^3 + 99*T2^4 + 
     32*T1*T2^4 - 554*T1^2*T2^4 + 32*T1^3*T2^4 - 28*T1^4*T2^4 + 
     134*T1^5*T2^4 - 28*T1^6*T2^4 + 32*T1^7*T2^4 - 554*T1^8*T2^4 + 
     32*T1^9*T2^4 + 99*T1^10*T2^4 - 67*T2^5 - 128*T1*T2^5 + 558*T1^2*T2^5 + 
     32*T1^3*T2^5 + 134*T1^4*T2^5 - 96*T1^5*T2^5 - 96*T1^6*T2^5 + 
     134*T1^7*T2^5 + 32*T1^8*T2^5 + 558*T1^9*T2^5 - 128*T1^10*T2^5 - 
     67*T1^11*T2^5 + 17*T2^6 + 198*T1*T2^6 - 368*T1^2*T2^6 - 280*T1^3*T2^6 - 
     28*T1^4*T2^6 - 96*T1^5*T2^6 + 192*T1^6*T2^6 - 96*T1^7*T2^6 - 
     28*T1^8*T2^6 - 280*T1^9*T2^6 - 368*T1^10*T2^6 + 198*T1^11*T2^6 + 
     17*T1^12*T2^6 - 67*T1*T2^7 - 128*T1^2*T2^7 + 558*T1^3*T2^7 + 
     32*T1^4*T2^7 + 134*T1^5*T2^7 - 96*T1^6*T2^7 - 96*T1^7*T2^7 + 
     134*T1^8*T2^7 + 32*T1^9*T2^7 + 558*T1^10*T2^7 - 128*T1^11*T2^7 - 
     67*T1^12*T2^7 + 99*T1^2*T2^8 + 32*T1^3*T2^8 - 554*T1^4*T2^8 + 
     32*T1^5*T2^8 - 28*T1^6*T2^8 + 134*T1^7*T2^8 - 28*T1^8*T2^8 + 
     32*T1^9*T2^8 - 554*T1^10*T2^8 + 32*T1^11*T2^8 + 99*T1^12*T2^8 - 
     107*T1^3*T2^9 + 32*T1^4*T2^9 + 558*T1^5*T2^9 - 280*T1^6*T2^9 + 
     32*T1^7*T2^9 + 32*T1^8*T2^9 - 280*T1^9*T2^9 + 558*T1^10*T2^9 + 
     32*T1^11*T2^9 - 107*T1^12*T2^9 + 99*T1^4*T2^10 - 128*T1^5*T2^10 - 
     368*T1^6*T2^10 + 558*T1^7*T2^10 - 554*T1^8*T2^10 + 558*T1^9*T2^10 - 
     368*T1^10*T2^10 - 128*T1^11*T2^10 + 99*T1^12*T2^10 - 67*T1^5*T2^11 + 
     198*T1^6*T2^11 - 128*T1^7*T2^11 + 32*T1^8*T2^11 + 32*T1^9*T2^11 - 
     128*T1^10*T2^11 + 198*T1^11*T2^11 - 67*T1^12*T2^11 + 17*T1^6*T2^12 - 
     67*T1^7*T2^12 + 99*T1^8*T2^12 - 107*T1^9*T2^12 + 99*T1^10*T2^12 - 
     67*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[10, 15] -> {(2 - 6*T + 9*T^2 - 9*T^3 + 9*T^4 - 6*T^5 + 2*T^6)/T^3, 
   (7 - 21*T1 + 31*T1^2 - 31*T1^3 + 31*T1^4 - 21*T1^5 + 7*T1^6 - 21*T2 + 
     42*T1*T2 - 30*T1^2*T2 - 30*T1^5*T2 + 42*T1^6*T2 - 21*T1^7*T2 + 31*T2^2 - 
     30*T1*T2^2 - 27*T1^2*T2^2 + 71*T1^3*T2^2 - 39*T1^4*T2^2 + 71*T1^5*T2^2 - 
     27*T1^6*T2^2 - 30*T1^7*T2^2 + 31*T1^8*T2^2 - 31*T2^3 + 71*T1^2*T2^3 - 
     74*T1^3*T2^3 - 8*T1^4*T2^3 - 8*T1^5*T2^3 - 74*T1^6*T2^3 + 71*T1^7*T2^3 - 
     31*T1^9*T2^3 + 31*T2^4 - 39*T1^2*T2^4 - 8*T1^3*T2^4 + 93*T1^4*T2^4 - 
     65*T1^5*T2^4 + 93*T1^6*T2^4 - 8*T1^7*T2^4 - 39*T1^8*T2^4 + 
     31*T1^10*T2^4 - 21*T2^5 - 30*T1*T2^5 + 71*T1^2*T2^5 - 8*T1^3*T2^5 - 
     65*T1^4*T2^5 + 18*T1^5*T2^5 + 18*T1^6*T2^5 - 65*T1^7*T2^5 - 
     8*T1^8*T2^5 + 71*T1^9*T2^5 - 30*T1^10*T2^5 - 21*T1^11*T2^5 + 7*T2^6 + 
     42*T1*T2^6 - 27*T1^2*T2^6 - 74*T1^3*T2^6 + 93*T1^4*T2^6 + 18*T1^5*T2^6 - 
     60*T1^6*T2^6 + 18*T1^7*T2^6 + 93*T1^8*T2^6 - 74*T1^9*T2^6 - 
     27*T1^10*T2^6 + 42*T1^11*T2^6 + 7*T1^12*T2^6 - 21*T1*T2^7 - 
     30*T1^2*T2^7 + 71*T1^3*T2^7 - 8*T1^4*T2^7 - 65*T1^5*T2^7 + 
     18*T1^6*T2^7 + 18*T1^7*T2^7 - 65*T1^8*T2^7 - 8*T1^9*T2^7 + 
     71*T1^10*T2^7 - 30*T1^11*T2^7 - 21*T1^12*T2^7 + 31*T1^2*T2^8 - 
     39*T1^4*T2^8 - 8*T1^5*T2^8 + 93*T1^6*T2^8 - 65*T1^7*T2^8 + 
     93*T1^8*T2^8 - 8*T1^9*T2^8 - 39*T1^10*T2^8 + 31*T1^12*T2^8 - 
     31*T1^3*T2^9 + 71*T1^5*T2^9 - 74*T1^6*T2^9 - 8*T1^7*T2^9 - 8*T1^8*T2^9 - 
     74*T1^9*T2^9 + 71*T1^10*T2^9 - 31*T1^12*T2^9 + 31*T1^4*T2^10 - 
     30*T1^5*T2^10 - 27*T1^6*T2^10 + 71*T1^7*T2^10 - 39*T1^8*T2^10 + 
     71*T1^9*T2^10 - 27*T1^10*T2^10 - 30*T1^11*T2^10 + 31*T1^12*T2^10 - 
     21*T1^5*T2^11 + 42*T1^6*T2^11 - 30*T1^7*T2^11 - 30*T1^10*T2^11 + 
     42*T1^11*T2^11 - 21*T1^12*T2^11 + 7*T1^6*T2^12 - 21*T1^7*T2^12 + 
     31*T1^8*T2^12 - 31*T1^9*T2^12 + 31*T1^10*T2^12 - 21*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, Knot[10, 16] -> 
  {-((4 - 12*T + 15*T^2 - 12*T^3 + 4*T^4)/T^2), 
   (-2*(32 - 92*T1 + 112*T1^2 - 92*T1^3 + 32*T1^4 - 92*T2 + 172*T1*T2 - 
      58*T1^2*T2 - 58*T1^3*T2 + 172*T1^4*T2 - 92*T1^5*T2 + 112*T2^2 - 
      58*T1*T2^2 - 277*T1^2*T2^2 + 344*T1^3*T2^2 - 277*T1^4*T2^2 - 
      58*T1^5*T2^2 + 112*T1^6*T2^2 - 92*T2^3 - 58*T1*T2^3 + 344*T1^2*T2^3 - 
      122*T1^3*T2^3 - 122*T1^4*T2^3 + 344*T1^5*T2^3 - 58*T1^6*T2^3 - 
      92*T1^7*T2^3 + 32*T2^4 + 172*T1*T2^4 - 277*T1^2*T2^4 - 122*T1^3*T2^4 + 
      234*T1^4*T2^4 - 122*T1^5*T2^4 - 277*T1^6*T2^4 + 172*T1^7*T2^4 + 
      32*T1^8*T2^4 - 92*T1*T2^5 - 58*T1^2*T2^5 + 344*T1^3*T2^5 - 
      122*T1^4*T2^5 - 122*T1^5*T2^5 + 344*T1^6*T2^5 - 58*T1^7*T2^5 - 
      92*T1^8*T2^5 + 112*T1^2*T2^6 - 58*T1^3*T2^6 - 277*T1^4*T2^6 + 
      344*T1^5*T2^6 - 277*T1^6*T2^6 - 58*T1^7*T2^6 + 112*T1^8*T2^6 - 
      92*T1^3*T2^7 + 172*T1^4*T2^7 - 58*T1^5*T2^7 - 58*T1^6*T2^7 + 
      172*T1^7*T2^7 - 92*T1^8*T2^7 + 32*T1^4*T2^8 - 92*T1^5*T2^8 + 
      112*T1^6*T2^8 - 92*T1^7*T2^8 + 32*T1^8*T2^8))/(T1^4*T2^4)}, 
 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, 0}, Knot[10, 18] -> 
  {-((4 - 14*T + 19*T^2 - 14*T^3 + 4*T^4)/T^2), 
   (64 - 212*T1 + 280*T1^2 - 212*T1^3 + 64*T1^4 - 212*T2 + 494*T1*T2 - 
     232*T1^2*T2 - 232*T1^3*T2 + 494*T1^4*T2 - 212*T1^5*T2 + 280*T2^2 - 
     232*T1*T2^2 - 835*T1^2*T2^2 + 1301*T1^3*T2^2 - 835*T1^4*T2^2 - 
     232*T1^5*T2^2 + 280*T1^6*T2^2 - 212*T2^3 - 232*T1*T2^3 + 
     1301*T1^2*T2^3 - 632*T1^3*T2^3 - 632*T1^4*T2^3 + 1301*T1^5*T2^3 - 
     232*T1^6*T2^3 - 212*T1^7*T2^3 + 64*T2^4 + 494*T1*T2^4 - 835*T1^2*T2^4 - 
     632*T1^3*T2^4 + 1296*T1^4*T2^4 - 632*T1^5*T2^4 - 835*T1^6*T2^4 + 
     494*T1^7*T2^4 + 64*T1^8*T2^4 - 212*T1*T2^5 - 232*T1^2*T2^5 + 
     1301*T1^3*T2^5 - 632*T1^4*T2^5 - 632*T1^5*T2^5 + 1301*T1^6*T2^5 - 
     232*T1^7*T2^5 - 212*T1^8*T2^5 + 280*T1^2*T2^6 - 232*T1^3*T2^6 - 
     835*T1^4*T2^6 + 1301*T1^5*T2^6 - 835*T1^6*T2^6 - 232*T1^7*T2^6 + 
     280*T1^8*T2^6 - 212*T1^3*T2^7 + 494*T1^4*T2^7 - 232*T1^5*T2^7 - 
     232*T1^6*T2^7 + 494*T1^7*T2^7 - 212*T1^8*T2^7 + 64*T1^4*T2^8 - 
     212*T1^5*T2^8 + 280*T1^6*T2^8 - 212*T1^7*T2^8 + 64*T1^8*T2^8)/
    (T1^4*T2^4)}, Knot[10, 19] -> 
  {(2 - 7*T + 11*T^2 - 11*T^3 + 11*T^4 - 7*T^5 + 2*T^6)/T^3, 
   -((7 - 25*T1 + 39*T1^2 - 39*T1^3 + 39*T1^4 - 25*T1^5 + 7*T1^6 - 25*T2 + 
      64*T1*T2 - 50*T1^2*T2 - 50*T1^5*T2 + 64*T1^6*T2 - 25*T1^7*T2 + 
      39*T2^2 - 50*T1*T2^2 - 66*T1^2*T2^2 + 162*T1^3*T2^2 - 100*T1^4*T2^2 + 
      162*T1^5*T2^2 - 66*T1^6*T2^2 - 50*T1^7*T2^2 + 39*T1^8*T2^2 - 39*T2^3 + 
      162*T1^2*T2^3 - 164*T1^3*T2^3 - 22*T1^4*T2^3 - 22*T1^5*T2^3 - 
      164*T1^6*T2^3 + 162*T1^7*T2^3 - 39*T1^9*T2^3 + 39*T2^4 - 
      100*T1^2*T2^4 - 22*T1^3*T2^4 + 231*T1^4*T2^4 - 151*T1^5*T2^4 + 
      231*T1^6*T2^4 - 22*T1^7*T2^4 - 100*T1^8*T2^4 + 39*T1^10*T2^4 - 
      25*T2^5 - 50*T1*T2^5 + 162*T1^2*T2^5 - 22*T1^3*T2^5 - 151*T1^4*T2^5 + 
      24*T1^5*T2^5 + 24*T1^6*T2^5 - 151*T1^7*T2^5 - 22*T1^8*T2^5 + 
      162*T1^9*T2^5 - 50*T1^10*T2^5 - 25*T1^11*T2^5 + 7*T2^6 + 64*T1*T2^6 - 
      66*T1^2*T2^6 - 164*T1^3*T2^6 + 231*T1^4*T2^6 + 24*T1^5*T2^6 - 
      84*T1^6*T2^6 + 24*T1^7*T2^6 + 231*T1^8*T2^6 - 164*T1^9*T2^6 - 
      66*T1^10*T2^6 + 64*T1^11*T2^6 + 7*T1^12*T2^6 - 25*T1*T2^7 - 
      50*T1^2*T2^7 + 162*T1^3*T2^7 - 22*T1^4*T2^7 - 151*T1^5*T2^7 + 
      24*T1^6*T2^7 + 24*T1^7*T2^7 - 151*T1^8*T2^7 - 22*T1^9*T2^7 + 
      162*T1^10*T2^7 - 50*T1^11*T2^7 - 25*T1^12*T2^7 + 39*T1^2*T2^8 - 
      100*T1^4*T2^8 - 22*T1^5*T2^8 + 231*T1^6*T2^8 - 151*T1^7*T2^8 + 
      231*T1^8*T2^8 - 22*T1^9*T2^8 - 100*T1^10*T2^8 + 39*T1^12*T2^8 - 
      39*T1^3*T2^9 + 162*T1^5*T2^9 - 164*T1^6*T2^9 - 22*T1^7*T2^9 - 
      22*T1^8*T2^9 - 164*T1^9*T2^9 + 162*T1^10*T2^9 - 39*T1^12*T2^9 + 
      39*T1^4*T2^10 - 50*T1^5*T2^10 - 66*T1^6*T2^10 + 162*T1^7*T2^10 - 
      100*T1^8*T2^10 + 162*T1^9*T2^10 - 66*T1^10*T2^10 - 50*T1^11*T2^10 + 
      39*T1^12*T2^10 - 25*T1^5*T2^11 + 64*T1^6*T2^11 - 50*T1^7*T2^11 - 
      50*T1^10*T2^11 + 64*T1^11*T2^11 - 25*T1^12*T2^11 + 7*T1^6*T2^12 - 
      25*T1^7*T2^12 + 39*T1^8*T2^12 - 39*T1^9*T2^12 + 39*T1^10*T2^12 - 
      25*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[10, 20] -> {-((3 - 9*T + 11*T^2 - 9*T^3 + 3*T^4)/T^2), 
   (2*(18 - 54*T1 + 65*T1^2 - 54*T1^3 + 18*T1^4 - 54*T2 + 108*T1*T2 - 
      33*T1^2*T2 - 33*T1^3*T2 + 108*T1^4*T2 - 54*T1^5*T2 + 65*T2^2 - 
      33*T1*T2^2 - 198*T1^2*T2^2 + 225*T1^3*T2^2 - 198*T1^4*T2^2 - 
      33*T1^5*T2^2 + 65*T1^6*T2^2 - 54*T2^3 - 33*T1*T2^3 + 225*T1^2*T2^3 - 
      54*T1^3*T2^3 - 54*T1^4*T2^3 + 225*T1^5*T2^3 - 33*T1^6*T2^3 - 
      54*T1^7*T2^3 + 18*T2^4 + 108*T1*T2^4 - 198*T1^2*T2^4 - 54*T1^3*T2^4 + 
      60*T1^4*T2^4 - 54*T1^5*T2^4 - 198*T1^6*T2^4 + 108*T1^7*T2^4 + 
      18*T1^8*T2^4 - 54*T1*T2^5 - 33*T1^2*T2^5 + 225*T1^3*T2^5 - 
      54*T1^4*T2^5 - 54*T1^5*T2^5 + 225*T1^6*T2^5 - 33*T1^7*T2^5 - 
      54*T1^8*T2^5 + 65*T1^2*T2^6 - 33*T1^3*T2^6 - 198*T1^4*T2^6 + 
      225*T1^5*T2^6 - 198*T1^6*T2^6 - 33*T1^7*T2^6 + 65*T1^8*T2^6 - 
      54*T1^3*T2^7 + 108*T1^4*T2^7 - 33*T1^5*T2^7 - 33*T1^6*T2^7 + 
      108*T1^7*T2^7 - 54*T1^8*T2^7 + 18*T1^4*T2^8 - 54*T1^5*T2^8 + 
      65*T1^6*T2^8 - 54*T1^7*T2^8 + 18*T1^8*T2^8))/(T1^4*T2^4)}, 
 Knot[10, 21] -> {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2 - T^3 + T^4))/T^3), 
   (17 - 59*T1 + 75*T1^2 - 75*T1^3 + 75*T1^4 - 59*T1^5 + 17*T1^6 - 59*T2 + 
     146*T1*T2 - 56*T1^2*T2 - 56*T1^5*T2 + 146*T1^6*T2 - 59*T1^7*T2 + 
     75*T2^2 - 56*T1*T2^2 - 305*T1^2*T2^2 + 331*T1^3*T2^2 - 267*T1^4*T2^2 + 
     331*T1^5*T2^2 - 305*T1^6*T2^2 - 56*T1^7*T2^2 + 75*T1^8*T2^2 - 75*T2^3 + 
     331*T1^2*T2^3 - 58*T1^3*T2^3 - 44*T1^4*T2^3 - 44*T1^5*T2^3 - 
     58*T1^6*T2^3 + 331*T1^7*T2^3 - 75*T1^9*T2^3 + 75*T2^4 - 267*T1^2*T2^4 - 
     44*T1^3*T2^4 - 37*T1^4*T2^4 + 137*T1^5*T2^4 - 37*T1^6*T2^4 - 
     44*T1^7*T2^4 - 267*T1^8*T2^4 + 75*T1^10*T2^4 - 59*T2^5 - 56*T1*T2^5 + 
     331*T1^2*T2^5 - 44*T1^3*T2^5 + 137*T1^4*T2^5 - 74*T1^5*T2^5 - 
     74*T1^6*T2^5 + 137*T1^7*T2^5 - 44*T1^8*T2^5 + 331*T1^9*T2^5 - 
     56*T1^10*T2^5 - 59*T1^11*T2^5 + 17*T2^6 + 146*T1*T2^6 - 305*T1^2*T2^6 - 
     58*T1^3*T2^6 - 37*T1^4*T2^6 - 74*T1^5*T2^6 + 132*T1^6*T2^6 - 
     74*T1^7*T2^6 - 37*T1^8*T2^6 - 58*T1^9*T2^6 - 305*T1^10*T2^6 + 
     146*T1^11*T2^6 + 17*T1^12*T2^6 - 59*T1*T2^7 - 56*T1^2*T2^7 + 
     331*T1^3*T2^7 - 44*T1^4*T2^7 + 137*T1^5*T2^7 - 74*T1^6*T2^7 - 
     74*T1^7*T2^7 + 137*T1^8*T2^7 - 44*T1^9*T2^7 + 331*T1^10*T2^7 - 
     56*T1^11*T2^7 - 59*T1^12*T2^7 + 75*T1^2*T2^8 - 267*T1^4*T2^8 - 
     44*T1^5*T2^8 - 37*T1^6*T2^8 + 137*T1^7*T2^8 - 37*T1^8*T2^8 - 
     44*T1^9*T2^8 - 267*T1^10*T2^8 + 75*T1^12*T2^8 - 75*T1^3*T2^9 + 
     331*T1^5*T2^9 - 58*T1^6*T2^9 - 44*T1^7*T2^9 - 44*T1^8*T2^9 - 
     58*T1^9*T2^9 + 331*T1^10*T2^9 - 75*T1^12*T2^9 + 75*T1^4*T2^10 - 
     56*T1^5*T2^10 - 305*T1^6*T2^10 + 331*T1^7*T2^10 - 267*T1^8*T2^10 + 
     331*T1^9*T2^10 - 305*T1^10*T2^10 - 56*T1^11*T2^10 + 75*T1^12*T2^10 - 
     59*T1^5*T2^11 + 146*T1^6*T2^11 - 56*T1^7*T2^11 - 56*T1^10*T2^11 + 
     146*T1^11*T2^11 - 59*T1^12*T2^11 + 17*T1^6*T2^12 - 59*T1^7*T2^12 + 
     75*T1^8*T2^12 - 75*T1^9*T2^12 + 75*T1^10*T2^12 - 59*T1^11*T2^12 + 
     17*T1^12*T2^12)/(T1^6*T2^6)}, Knot[10, 22] -> 
  {-(((-2 + 2*T - 2*T^2 + T^3)*(-1 + 2*T - 2*T^2 + 2*T^3))/T^3), 
   -((1 - 3*T1 + 5*T1^2 - 7*T1^3 + 5*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 - 
      6*T1^2*T2 + 6*T1^3*T2 + 6*T1^4*T2 - 6*T1^5*T2 + 6*T1^6*T2 - 3*T1^7*T2 + 
      5*T2^2 - 6*T1*T2^2 + 3*T1^2*T2^2 - 9*T1^3*T2^2 - 5*T1^4*T2^2 - 
      9*T1^5*T2^2 + 3*T1^6*T2^2 - 6*T1^7*T2^2 + 5*T1^8*T2^2 - 7*T2^3 + 
      6*T1*T2^3 - 9*T1^2*T2^3 + 30*T1^3*T2^3 + 4*T1^4*T2^3 + 4*T1^5*T2^3 + 
      30*T1^6*T2^3 - 9*T1^7*T2^3 + 6*T1^8*T2^3 - 7*T1^9*T2^3 + 5*T2^4 + 
      6*T1*T2^4 - 5*T1^2*T2^4 + 4*T1^3*T2^4 - 89*T1^4*T2^4 + 63*T1^5*T2^4 - 
      89*T1^6*T2^4 + 4*T1^7*T2^4 - 5*T1^8*T2^4 + 6*T1^9*T2^4 + 5*T1^10*T2^4 - 
      3*T2^5 - 6*T1*T2^5 - 9*T1^2*T2^5 + 4*T1^3*T2^5 + 63*T1^4*T2^5 + 
      22*T1^5*T2^5 + 22*T1^6*T2^5 + 63*T1^7*T2^5 + 4*T1^8*T2^5 - 
      9*T1^9*T2^5 - 6*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 6*T1*T2^6 + 
      3*T1^2*T2^6 + 30*T1^3*T2^6 - 89*T1^4*T2^6 + 22*T1^5*T2^6 - 
      108*T1^6*T2^6 + 22*T1^7*T2^6 - 89*T1^8*T2^6 + 30*T1^9*T2^6 + 
      3*T1^10*T2^6 + 6*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 - 6*T1^2*T2^7 - 
      9*T1^3*T2^7 + 4*T1^4*T2^7 + 63*T1^5*T2^7 + 22*T1^6*T2^7 + 
      22*T1^7*T2^7 + 63*T1^8*T2^7 + 4*T1^9*T2^7 - 9*T1^10*T2^7 - 
      6*T1^11*T2^7 - 3*T1^12*T2^7 + 5*T1^2*T2^8 + 6*T1^3*T2^8 - 5*T1^4*T2^8 + 
      4*T1^5*T2^8 - 89*T1^6*T2^8 + 63*T1^7*T2^8 - 89*T1^8*T2^8 + 
      4*T1^9*T2^8 - 5*T1^10*T2^8 + 6*T1^11*T2^8 + 5*T1^12*T2^8 - 
      7*T1^3*T2^9 + 6*T1^4*T2^9 - 9*T1^5*T2^9 + 30*T1^6*T2^9 + 4*T1^7*T2^9 + 
      4*T1^8*T2^9 + 30*T1^9*T2^9 - 9*T1^10*T2^9 + 6*T1^11*T2^9 - 
      7*T1^12*T2^9 + 5*T1^4*T2^10 - 6*T1^5*T2^10 + 3*T1^6*T2^10 - 
      9*T1^7*T2^10 - 5*T1^8*T2^10 - 9*T1^9*T2^10 + 3*T1^10*T2^10 - 
      6*T1^11*T2^10 + 5*T1^12*T2^10 - 3*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 - 3*T1^12*T2^11 + T1^6*T2^12 - 3*T1^7*T2^12 + 
      5*T1^8*T2^12 - 7*T1^9*T2^12 + 5*T1^10*T2^12 - 3*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[10, 23] -> 
  {(2 - 7*T + 13*T^2 - 15*T^3 + 13*T^4 - 7*T^5 + 2*T^6)/T^3, 
   (9 - 31*T1 + 57*T1^2 - 65*T1^3 + 57*T1^4 - 31*T1^5 + 9*T1^6 - 31*T2 + 
     76*T1*T2 - 90*T1^2*T2 + 28*T1^3*T2 + 28*T1^4*T2 - 90*T1^5*T2 + 
     76*T1^6*T2 - 31*T1^7*T2 + 57*T2^2 - 90*T1*T2^2 + 50*T1^2*T2^2 + 
     86*T1^3*T2^2 - 86*T1^4*T2^2 + 86*T1^5*T2^2 + 50*T1^6*T2^2 - 
     90*T1^7*T2^2 + 57*T1^8*T2^2 - 65*T2^3 + 28*T1*T2^3 + 86*T1^2*T2^3 - 
     230*T1^3*T2^3 + 48*T1^4*T2^3 + 48*T1^5*T2^3 - 230*T1^6*T2^3 + 
     86*T1^7*T2^3 + 28*T1^8*T2^3 - 65*T1^9*T2^3 + 57*T2^4 + 28*T1*T2^4 - 
     86*T1^2*T2^4 + 48*T1^3*T2^4 + 362*T1^4*T2^4 - 398*T1^5*T2^4 + 
     362*T1^6*T2^4 + 48*T1^7*T2^4 - 86*T1^8*T2^4 + 28*T1^9*T2^4 + 
     57*T1^10*T2^4 - 31*T2^5 - 90*T1*T2^5 + 86*T1^2*T2^5 + 48*T1^3*T2^5 - 
     398*T1^4*T2^5 + 122*T1^5*T2^5 + 122*T1^6*T2^5 - 398*T1^7*T2^5 + 
     48*T1^8*T2^5 + 86*T1^9*T2^5 - 90*T1^10*T2^5 - 31*T1^11*T2^5 + 9*T2^6 + 
     76*T1*T2^6 + 50*T1^2*T2^6 - 230*T1^3*T2^6 + 362*T1^4*T2^6 + 
     122*T1^5*T2^6 - 216*T1^6*T2^6 + 122*T1^7*T2^6 + 362*T1^8*T2^6 - 
     230*T1^9*T2^6 + 50*T1^10*T2^6 + 76*T1^11*T2^6 + 9*T1^12*T2^6 - 
     31*T1*T2^7 - 90*T1^2*T2^7 + 86*T1^3*T2^7 + 48*T1^4*T2^7 - 
     398*T1^5*T2^7 + 122*T1^6*T2^7 + 122*T1^7*T2^7 - 398*T1^8*T2^7 + 
     48*T1^9*T2^7 + 86*T1^10*T2^7 - 90*T1^11*T2^7 - 31*T1^12*T2^7 + 
     57*T1^2*T2^8 + 28*T1^3*T2^8 - 86*T1^4*T2^8 + 48*T1^5*T2^8 + 
     362*T1^6*T2^8 - 398*T1^7*T2^8 + 362*T1^8*T2^8 + 48*T1^9*T2^8 - 
     86*T1^10*T2^8 + 28*T1^11*T2^8 + 57*T1^12*T2^8 - 65*T1^3*T2^9 + 
     28*T1^4*T2^9 + 86*T1^5*T2^9 - 230*T1^6*T2^9 + 48*T1^7*T2^9 + 
     48*T1^8*T2^9 - 230*T1^9*T2^9 + 86*T1^10*T2^9 + 28*T1^11*T2^9 - 
     65*T1^12*T2^9 + 57*T1^4*T2^10 - 90*T1^5*T2^10 + 50*T1^6*T2^10 + 
     86*T1^7*T2^10 - 86*T1^8*T2^10 + 86*T1^9*T2^10 + 50*T1^10*T2^10 - 
     90*T1^11*T2^10 + 57*T1^12*T2^10 - 31*T1^5*T2^11 + 76*T1^6*T2^11 - 
     90*T1^7*T2^11 + 28*T1^8*T2^11 + 28*T1^9*T2^11 - 90*T1^10*T2^11 + 
     76*T1^11*T2^11 - 31*T1^12*T2^11 + 9*T1^6*T2^12 - 31*T1^7*T2^12 + 
     57*T1^8*T2^12 - 65*T1^9*T2^12 + 57*T1^10*T2^12 - 31*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, Knot[10, 24] -> 
  {-((4 - 14*T + 19*T^2 - 14*T^3 + 4*T^4)/T^2), 
   (80 - 276*T1 + 368*T1^2 - 276*T1^3 + 80*T1^4 - 276*T2 + 678*T1*T2 - 
     320*T1^2*T2 - 320*T1^3*T2 + 678*T1^4*T2 - 276*T1^5*T2 + 368*T2^2 - 
     320*T1*T2^2 - 1249*T1^2*T2^2 + 1925*T1^3*T2^2 - 1249*T1^4*T2^2 - 
     320*T1^5*T2^2 + 368*T1^6*T2^2 - 276*T2^3 - 320*T1*T2^3 + 
     1925*T1^2*T2^3 - 916*T1^3*T2^3 - 916*T1^4*T2^3 + 1925*T1^5*T2^3 - 
     320*T1^6*T2^3 - 276*T1^7*T2^3 + 80*T2^4 + 678*T1*T2^4 - 1249*T1^2*T2^4 - 
     916*T1^3*T2^4 + 1836*T1^4*T2^4 - 916*T1^5*T2^4 - 1249*T1^6*T2^4 + 
     678*T1^7*T2^4 + 80*T1^8*T2^4 - 276*T1*T2^5 - 320*T1^2*T2^5 + 
     1925*T1^3*T2^5 - 916*T1^4*T2^5 - 916*T1^5*T2^5 + 1925*T1^6*T2^5 - 
     320*T1^7*T2^5 - 276*T1^8*T2^5 + 368*T1^2*T2^6 - 320*T1^3*T2^6 - 
     1249*T1^4*T2^6 + 1925*T1^5*T2^6 - 1249*T1^6*T2^6 - 320*T1^7*T2^6 + 
     368*T1^8*T2^6 - 276*T1^3*T2^7 + 678*T1^4*T2^7 - 320*T1^5*T2^7 - 
     320*T1^6*T2^7 + 678*T1^7*T2^7 - 276*T1^8*T2^7 + 80*T1^4*T2^8 - 
     276*T1^5*T2^8 + 368*T1^6*T2^8 - 276*T1^7*T2^8 + 80*T1^8*T2^8)/
    (T1^4*T2^4)}, Knot[10, 25] -> 
  {-((2 - 8*T + 14*T^2 - 17*T^3 + 14*T^4 - 8*T^5 + 2*T^6)/T^3), 
   (17 - 67*T1 + 115*T1^2 - 139*T1^3 + 115*T1^4 - 67*T1^5 + 17*T1^6 - 67*T2 + 
     198*T1*T2 - 192*T1^2*T2 + 96*T1^3*T2 + 96*T1^4*T2 - 192*T1^5*T2 + 
     198*T1^6*T2 - 67*T1^7*T2 + 115*T2^2 - 192*T1*T2^2 - 150*T1^2*T2^2 + 
     434*T1^3*T2^2 - 658*T1^4*T2^2 + 434*T1^5*T2^2 - 150*T1^6*T2^2 - 
     192*T1^7*T2^2 + 115*T1^8*T2^2 - 139*T2^3 + 96*T1*T2^3 + 434*T1^2*T2^3 - 
     414*T1^3*T2^3 + 296*T1^4*T2^3 + 296*T1^5*T2^3 - 414*T1^6*T2^3 + 
     434*T1^7*T2^3 + 96*T1^8*T2^3 - 139*T1^9*T2^3 + 115*T2^4 + 96*T1*T2^4 - 
     658*T1^2*T2^4 + 296*T1^3*T2^4 - 205*T1^4*T2^4 - 197*T1^5*T2^4 - 
     205*T1^6*T2^4 + 296*T1^7*T2^4 - 658*T1^8*T2^4 + 96*T1^9*T2^4 + 
     115*T1^10*T2^4 - 67*T2^5 - 192*T1*T2^5 + 434*T1^2*T2^5 + 296*T1^3*T2^5 - 
     197*T1^4*T2^5 + 328*T1^5*T2^5 + 328*T1^6*T2^5 - 197*T1^7*T2^5 + 
     296*T1^8*T2^5 + 434*T1^9*T2^5 - 192*T1^10*T2^5 - 67*T1^11*T2^5 + 
     17*T2^6 + 198*T1*T2^6 - 150*T1^2*T2^6 - 414*T1^3*T2^6 - 205*T1^4*T2^6 + 
     328*T1^5*T2^6 - 864*T1^6*T2^6 + 328*T1^7*T2^6 - 205*T1^8*T2^6 - 
     414*T1^9*T2^6 - 150*T1^10*T2^6 + 198*T1^11*T2^6 + 17*T1^12*T2^6 - 
     67*T1*T2^7 - 192*T1^2*T2^7 + 434*T1^3*T2^7 + 296*T1^4*T2^7 - 
     197*T1^5*T2^7 + 328*T1^6*T2^7 + 328*T1^7*T2^7 - 197*T1^8*T2^7 + 
     296*T1^9*T2^7 + 434*T1^10*T2^7 - 192*T1^11*T2^7 - 67*T1^12*T2^7 + 
     115*T1^2*T2^8 + 96*T1^3*T2^8 - 658*T1^4*T2^8 + 296*T1^5*T2^8 - 
     205*T1^6*T2^8 - 197*T1^7*T2^8 - 205*T1^8*T2^8 + 296*T1^9*T2^8 - 
     658*T1^10*T2^8 + 96*T1^11*T2^8 + 115*T1^12*T2^8 - 139*T1^3*T2^9 + 
     96*T1^4*T2^9 + 434*T1^5*T2^9 - 414*T1^6*T2^9 + 296*T1^7*T2^9 + 
     296*T1^8*T2^9 - 414*T1^9*T2^9 + 434*T1^10*T2^9 + 96*T1^11*T2^9 - 
     139*T1^12*T2^9 + 115*T1^4*T2^10 - 192*T1^5*T2^10 - 150*T1^6*T2^10 + 
     434*T1^7*T2^10 - 658*T1^8*T2^10 + 434*T1^9*T2^10 - 150*T1^10*T2^10 - 
     192*T1^11*T2^10 + 115*T1^12*T2^10 - 67*T1^5*T2^11 + 198*T1^6*T2^11 - 
     192*T1^7*T2^11 + 96*T1^8*T2^11 + 96*T1^9*T2^11 - 192*T1^10*T2^11 + 
     198*T1^11*T2^11 - 67*T1^12*T2^11 + 17*T1^6*T2^12 - 67*T1^7*T2^12 + 
     115*T1^8*T2^12 - 139*T1^9*T2^12 + 115*T1^10*T2^12 - 67*T1^11*T2^12 + 
     17*T1^12*T2^12)/(T1^6*T2^6)}, Knot[10, 26] -> 
  {-((2 - 7*T + 13*T^2 - 17*T^3 + 13*T^4 - 7*T^5 + 2*T^6)/T^3), 
   -((1 - 3*T1 + 5*T1^2 - 7*T1^3 + 5*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 - 
      6*T1^2*T2 + 6*T1^3*T2 + 6*T1^4*T2 - 6*T1^5*T2 + 6*T1^6*T2 - 3*T1^7*T2 + 
      5*T2^2 - 6*T1*T2^2 + 3*T1^2*T2^2 - 13*T1^3*T2^2 + 3*T1^4*T2^2 - 
      13*T1^5*T2^2 + 3*T1^6*T2^2 - 6*T1^7*T2^2 + 5*T1^8*T2^2 - 7*T2^3 + 
      6*T1*T2^3 - 13*T1^2*T2^3 + 52*T1^3*T2^3 - 12*T1^4*T2^3 - 12*T1^5*T2^3 + 
      52*T1^6*T2^3 - 13*T1^7*T2^3 + 6*T1^8*T2^3 - 7*T1^9*T2^3 + 5*T2^4 + 
      6*T1*T2^4 + 3*T1^2*T2^4 - 12*T1^3*T2^4 - 137*T1^4*T2^4 + 
      155*T1^5*T2^4 - 137*T1^6*T2^4 - 12*T1^7*T2^4 + 3*T1^8*T2^4 + 
      6*T1^9*T2^4 + 5*T1^10*T2^4 - 3*T2^5 - 6*T1*T2^5 - 13*T1^2*T2^5 - 
      12*T1^3*T2^5 + 155*T1^4*T2^5 - 28*T1^5*T2^5 - 28*T1^6*T2^5 + 
      155*T1^7*T2^5 - 12*T1^8*T2^5 - 13*T1^9*T2^5 - 6*T1^10*T2^5 - 
      3*T1^11*T2^5 + T2^6 + 6*T1*T2^6 + 3*T1^2*T2^6 + 52*T1^3*T2^6 - 
      137*T1^4*T2^6 - 28*T1^5*T2^6 - 12*T1^6*T2^6 - 28*T1^7*T2^6 - 
      137*T1^8*T2^6 + 52*T1^9*T2^6 + 3*T1^10*T2^6 + 6*T1^11*T2^6 + 
      T1^12*T2^6 - 3*T1*T2^7 - 6*T1^2*T2^7 - 13*T1^3*T2^7 - 12*T1^4*T2^7 + 
      155*T1^5*T2^7 - 28*T1^6*T2^7 - 28*T1^7*T2^7 + 155*T1^8*T2^7 - 
      12*T1^9*T2^7 - 13*T1^10*T2^7 - 6*T1^11*T2^7 - 3*T1^12*T2^7 + 
      5*T1^2*T2^8 + 6*T1^3*T2^8 + 3*T1^4*T2^8 - 12*T1^5*T2^8 - 
      137*T1^6*T2^8 + 155*T1^7*T2^8 - 137*T1^8*T2^8 - 12*T1^9*T2^8 + 
      3*T1^10*T2^8 + 6*T1^11*T2^8 + 5*T1^12*T2^8 - 7*T1^3*T2^9 + 
      6*T1^4*T2^9 - 13*T1^5*T2^9 + 52*T1^6*T2^9 - 12*T1^7*T2^9 - 
      12*T1^8*T2^9 + 52*T1^9*T2^9 - 13*T1^10*T2^9 + 6*T1^11*T2^9 - 
      7*T1^12*T2^9 + 5*T1^4*T2^10 - 6*T1^5*T2^10 + 3*T1^6*T2^10 - 
      13*T1^7*T2^10 + 3*T1^8*T2^10 - 13*T1^9*T2^10 + 3*T1^10*T2^10 - 
      6*T1^11*T2^10 + 5*T1^12*T2^10 - 3*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 - 3*T1^12*T2^11 + T1^6*T2^12 - 3*T1^7*T2^12 + 
      5*T1^8*T2^12 - 7*T1^9*T2^12 + 5*T1^10*T2^12 - 3*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[10, 27] -> 
  {(2 - 8*T + 16*T^2 - 19*T^3 + 16*T^4 - 8*T^5 + 2*T^6)/T^3, 
   -((9 - 35*T1 + 69*T1^2 - 81*T1^3 + 69*T1^4 - 35*T1^5 + 9*T1^6 - 35*T2 + 
      102*T1*T2 - 134*T1^2*T2 + 48*T1^3*T2 + 48*T1^4*T2 - 134*T1^5*T2 + 
      102*T1^6*T2 - 35*T1^7*T2 + 69*T2^2 - 134*T1*T2^2 + 66*T1^2*T2^2 + 
      180*T1^3*T2^2 - 214*T1^4*T2^2 + 180*T1^5*T2^2 + 66*T1^6*T2^2 - 
      134*T1^7*T2^2 + 69*T1^8*T2^2 - 81*T2^3 + 48*T1*T2^3 + 180*T1^2*T2^3 - 
      448*T1^3*T2^3 + 118*T1^4*T2^3 + 118*T1^5*T2^3 - 448*T1^6*T2^3 + 
      180*T1^7*T2^3 + 48*T1^8*T2^3 - 81*T1^9*T2^3 + 69*T2^4 + 48*T1*T2^4 - 
      214*T1^2*T2^4 + 118*T1^3*T2^4 + 678*T1^4*T2^4 - 754*T1^5*T2^4 + 
      678*T1^6*T2^4 + 118*T1^7*T2^4 - 214*T1^8*T2^4 + 48*T1^9*T2^4 + 
      69*T1^10*T2^4 - 35*T2^5 - 134*T1*T2^5 + 180*T1^2*T2^5 + 118*T1^3*T2^5 - 
      754*T1^4*T2^5 + 188*T1^5*T2^5 + 188*T1^6*T2^5 - 754*T1^7*T2^5 + 
      118*T1^8*T2^5 + 180*T1^9*T2^5 - 134*T1^10*T2^5 - 35*T1^11*T2^5 + 
      9*T2^6 + 102*T1*T2^6 + 66*T1^2*T2^6 - 448*T1^3*T2^6 + 678*T1^4*T2^6 + 
      188*T1^5*T2^6 - 228*T1^6*T2^6 + 188*T1^7*T2^6 + 678*T1^8*T2^6 - 
      448*T1^9*T2^6 + 66*T1^10*T2^6 + 102*T1^11*T2^6 + 9*T1^12*T2^6 - 
      35*T1*T2^7 - 134*T1^2*T2^7 + 180*T1^3*T2^7 + 118*T1^4*T2^7 - 
      754*T1^5*T2^7 + 188*T1^6*T2^7 + 188*T1^7*T2^7 - 754*T1^8*T2^7 + 
      118*T1^9*T2^7 + 180*T1^10*T2^7 - 134*T1^11*T2^7 - 35*T1^12*T2^7 + 
      69*T1^2*T2^8 + 48*T1^3*T2^8 - 214*T1^4*T2^8 + 118*T1^5*T2^8 + 
      678*T1^6*T2^8 - 754*T1^7*T2^8 + 678*T1^8*T2^8 + 118*T1^9*T2^8 - 
      214*T1^10*T2^8 + 48*T1^11*T2^8 + 69*T1^12*T2^8 - 81*T1^3*T2^9 + 
      48*T1^4*T2^9 + 180*T1^5*T2^9 - 448*T1^6*T2^9 + 118*T1^7*T2^9 + 
      118*T1^8*T2^9 - 448*T1^9*T2^9 + 180*T1^10*T2^9 + 48*T1^11*T2^9 - 
      81*T1^12*T2^9 + 69*T1^4*T2^10 - 134*T1^5*T2^10 + 66*T1^6*T2^10 + 
      180*T1^7*T2^10 - 214*T1^8*T2^10 + 180*T1^9*T2^10 + 66*T1^10*T2^10 - 
      134*T1^11*T2^10 + 69*T1^12*T2^10 - 35*T1^5*T2^11 + 102*T1^6*T2^11 - 
      134*T1^7*T2^11 + 48*T1^8*T2^11 + 48*T1^9*T2^11 - 134*T1^10*T2^11 + 
      102*T1^11*T2^11 - 35*T1^12*T2^11 + 9*T1^6*T2^12 - 35*T1^7*T2^12 + 
      69*T1^8*T2^12 - 81*T1^9*T2^12 + 69*T1^10*T2^12 - 35*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[10, 28] -> 
  {(4 - 13*T + 19*T^2 - 13*T^3 + 4*T^4)/T^2, 
   (2*(8 - 26*T1 + 40*T1^2 - 26*T1^3 + 8*T1^4 - 26*T2 + 59*T1*T2 - 
      46*T1^2*T2 - 46*T1^3*T2 + 59*T1^4*T2 - 26*T1^5*T2 + 40*T2^2 - 
      46*T1*T2^2 - 7*T1^2*T2^2 + 116*T1^3*T2^2 - 7*T1^4*T2^2 - 46*T1^5*T2^2 + 
      40*T1^6*T2^2 - 26*T2^3 - 46*T1*T2^3 + 116*T1^2*T2^3 - 137*T1^3*T2^3 - 
      137*T1^4*T2^3 + 116*T1^5*T2^3 - 46*T1^6*T2^3 - 26*T1^7*T2^3 + 8*T2^4 + 
      59*T1*T2^4 - 7*T1^2*T2^4 - 137*T1^3*T2^4 + 390*T1^4*T2^4 - 
      137*T1^5*T2^4 - 7*T1^6*T2^4 + 59*T1^7*T2^4 + 8*T1^8*T2^4 - 26*T1*T2^5 - 
      46*T1^2*T2^5 + 116*T1^3*T2^5 - 137*T1^4*T2^5 - 137*T1^5*T2^5 + 
      116*T1^6*T2^5 - 46*T1^7*T2^5 - 26*T1^8*T2^5 + 40*T1^2*T2^6 - 
      46*T1^3*T2^6 - 7*T1^4*T2^6 + 116*T1^5*T2^6 - 7*T1^6*T2^6 - 
      46*T1^7*T2^6 + 40*T1^8*T2^6 - 26*T1^3*T2^7 + 59*T1^4*T2^7 - 
      46*T1^5*T2^7 - 46*T1^6*T2^7 + 59*T1^7*T2^7 - 26*T1^8*T2^7 + 
      8*T1^4*T2^8 - 26*T1^5*T2^8 + 40*T1^6*T2^8 - 26*T1^7*T2^8 + 
      8*T1^8*T2^8))/(T1^4*T2^4)}, Knot[10, 29] -> 
  {(1 - 7*T + 15*T^2 - 17*T^3 + 15*T^4 - 7*T^5 + T^6)/T^3, 
   -((1 - 7*T1 + 15*T1^2 - 17*T1^3 + 15*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 56*T1^2*T2 + 14*T1^3*T2 + 14*T1^4*T2 - 56*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 15*T2^2 - 56*T1*T2^2 - 103*T1^2*T2^2 + 
      375*T1^3*T2^2 - 385*T1^4*T2^2 + 375*T1^5*T2^2 - 103*T1^6*T2^2 - 
      56*T1^7*T2^2 + 15*T1^8*T2^2 - 17*T2^3 + 14*T1*T2^3 + 375*T1^2*T2^3 - 
      586*T1^3*T2^3 + 104*T1^4*T2^3 + 104*T1^5*T2^3 - 586*T1^6*T2^3 + 
      375*T1^7*T2^3 + 14*T1^8*T2^3 - 17*T1^9*T2^3 + 15*T2^4 + 14*T1*T2^4 - 
      385*T1^2*T2^4 + 104*T1^3*T2^4 + 868*T1^4*T2^4 - 848*T1^5*T2^4 + 
      868*T1^6*T2^4 + 104*T1^7*T2^4 - 385*T1^8*T2^4 + 14*T1^9*T2^4 + 
      15*T1^10*T2^4 - 7*T2^5 - 56*T1*T2^5 + 375*T1^2*T2^5 + 104*T1^3*T2^5 - 
      848*T1^4*T2^5 + 192*T1^5*T2^5 + 192*T1^6*T2^5 - 848*T1^7*T2^5 + 
      104*T1^8*T2^5 + 375*T1^9*T2^5 - 56*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 - 103*T1^2*T2^6 - 586*T1^3*T2^6 + 868*T1^4*T2^6 + 
      192*T1^5*T2^6 - 324*T1^6*T2^6 + 192*T1^7*T2^6 + 868*T1^8*T2^6 - 
      586*T1^9*T2^6 - 103*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 56*T1^2*T2^7 + 375*T1^3*T2^7 + 104*T1^4*T2^7 - 
      848*T1^5*T2^7 + 192*T1^6*T2^7 + 192*T1^7*T2^7 - 848*T1^8*T2^7 + 
      104*T1^9*T2^7 + 375*T1^10*T2^7 - 56*T1^11*T2^7 - 7*T1^12*T2^7 + 
      15*T1^2*T2^8 + 14*T1^3*T2^8 - 385*T1^4*T2^8 + 104*T1^5*T2^8 + 
      868*T1^6*T2^8 - 848*T1^7*T2^8 + 868*T1^8*T2^8 + 104*T1^9*T2^8 - 
      385*T1^10*T2^8 + 14*T1^11*T2^8 + 15*T1^12*T2^8 - 17*T1^3*T2^9 + 
      14*T1^4*T2^9 + 375*T1^5*T2^9 - 586*T1^6*T2^9 + 104*T1^7*T2^9 + 
      104*T1^8*T2^9 - 586*T1^9*T2^9 + 375*T1^10*T2^9 + 14*T1^11*T2^9 - 
      17*T1^12*T2^9 + 15*T1^4*T2^10 - 56*T1^5*T2^10 - 103*T1^6*T2^10 + 
      375*T1^7*T2^10 - 385*T1^8*T2^10 + 375*T1^9*T2^10 - 103*T1^10*T2^10 - 
      56*T1^11*T2^10 + 15*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      56*T1^7*T2^11 + 14*T1^8*T2^11 + 14*T1^9*T2^11 - 56*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      15*T1^8*T2^12 - 17*T1^9*T2^12 + 15*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[10, 30] -> 
  {-((4 - 17*T + 25*T^2 - 17*T^3 + 4*T^4)/T^2), 
   (80 - 332*T1 + 480*T1^2 - 332*T1^3 + 80*T1^4 - 332*T2 + 1050*T1*T2 - 
     620*T1^2*T2 - 620*T1^3*T2 + 1050*T1^4*T2 - 332*T1^5*T2 + 480*T2^2 - 
     620*T1*T2^2 - 2337*T1^2*T2^2 + 4289*T1^3*T2^2 - 2337*T1^4*T2^2 - 
     620*T1^5*T2^2 + 480*T1^6*T2^2 - 332*T2^3 - 620*T1*T2^3 + 
     4289*T1^2*T2^3 - 2698*T1^3*T2^3 - 2698*T1^4*T2^3 + 4289*T1^5*T2^3 - 
     620*T1^6*T2^3 - 332*T1^7*T2^3 + 80*T2^4 + 1050*T1*T2^4 - 
     2337*T1^2*T2^4 - 2698*T1^3*T2^4 + 6240*T1^4*T2^4 - 2698*T1^5*T2^4 - 
     2337*T1^6*T2^4 + 1050*T1^7*T2^4 + 80*T1^8*T2^4 - 332*T1*T2^5 - 
     620*T1^2*T2^5 + 4289*T1^3*T2^5 - 2698*T1^4*T2^5 - 2698*T1^5*T2^5 + 
     4289*T1^6*T2^5 - 620*T1^7*T2^5 - 332*T1^8*T2^5 + 480*T1^2*T2^6 - 
     620*T1^3*T2^6 - 2337*T1^4*T2^6 + 4289*T1^5*T2^6 - 2337*T1^6*T2^6 - 
     620*T1^7*T2^6 + 480*T1^8*T2^6 - 332*T1^3*T2^7 + 1050*T1^4*T2^7 - 
     620*T1^5*T2^7 - 620*T1^6*T2^7 + 1050*T1^7*T2^7 - 332*T1^8*T2^7 + 
     80*T1^4*T2^8 - 332*T1^5*T2^8 + 480*T1^6*T2^8 - 332*T1^7*T2^8 + 
     80*T1^8*T2^8)/(T1^4*T2^4)}, Knot[10, 31] -> 
  {(4 - 14*T + 21*T^2 - 14*T^3 + 4*T^4)/T^2, 
   (4*T1 - 8*T1^2 + 4*T1^3 + 4*T2 - 22*T1*T2 + 20*T1^2*T2 + 20*T1^3*T2 - 
     22*T1^4*T2 + 4*T1^5*T2 - 8*T2^2 + 20*T1*T2^2 + 45*T1^2*T2^2 - 
     131*T1^3*T2^2 + 45*T1^4*T2^2 + 20*T1^5*T2^2 - 8*T1^6*T2^2 + 4*T2^3 + 
     20*T1*T2^3 - 131*T1^2*T2^3 + 124*T1^3*T2^3 + 124*T1^4*T2^3 - 
     131*T1^5*T2^3 + 20*T1^6*T2^3 + 4*T1^7*T2^3 - 22*T1*T2^4 + 45*T1^2*T2^4 + 
     124*T1^3*T2^4 - 336*T1^4*T2^4 + 124*T1^5*T2^4 + 45*T1^6*T2^4 - 
     22*T1^7*T2^4 + 4*T1*T2^5 + 20*T1^2*T2^5 - 131*T1^3*T2^5 + 
     124*T1^4*T2^5 + 124*T1^5*T2^5 - 131*T1^6*T2^5 + 20*T1^7*T2^5 + 
     4*T1^8*T2^5 - 8*T1^2*T2^6 + 20*T1^3*T2^6 + 45*T1^4*T2^6 - 
     131*T1^5*T2^6 + 45*T1^6*T2^6 + 20*T1^7*T2^6 - 8*T1^8*T2^6 + 
     4*T1^3*T2^7 - 22*T1^4*T2^7 + 20*T1^5*T2^7 + 20*T1^6*T2^7 - 
     22*T1^7*T2^7 + 4*T1^8*T2^7 + 4*T1^5*T2^8 - 8*T1^6*T2^8 + 4*T1^7*T2^8)/
    (T1^4*T2^4)}, Knot[10, 32] -> 
  {-(((1 - T + T^2)*(2 - 6*T + 7*T^2 - 6*T^3 + 2*T^4))/T^3), 
   (1 - 3*T1 + 5*T1^2 - 7*T1^3 + 5*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 - 
     6*T1^2*T2 + 6*T1^3*T2 + 6*T1^4*T2 - 6*T1^5*T2 + 6*T1^6*T2 - 3*T1^7*T2 + 
     5*T2^2 - 6*T1*T2^2 + 8*T1^2*T2^2 - 28*T1^3*T2^2 + 20*T1^4*T2^2 - 
     28*T1^5*T2^2 + 8*T1^6*T2^2 - 6*T1^7*T2^2 + 5*T1^8*T2^2 - 7*T2^3 + 
     6*T1*T2^3 - 28*T1^2*T2^3 + 90*T1^3*T2^3 - 26*T1^4*T2^3 - 26*T1^5*T2^3 + 
     90*T1^6*T2^3 - 28*T1^7*T2^3 + 6*T1^8*T2^3 - 7*T1^9*T2^3 + 5*T2^4 + 
     6*T1*T2^4 + 20*T1^2*T2^4 - 26*T1^3*T2^4 - 247*T1^4*T2^4 + 
     313*T1^5*T2^4 - 247*T1^6*T2^4 - 26*T1^7*T2^4 + 20*T1^8*T2^4 + 
     6*T1^9*T2^4 + 5*T1^10*T2^4 - 3*T2^5 - 6*T1*T2^5 - 28*T1^2*T2^5 - 
     26*T1^3*T2^5 + 313*T1^4*T2^5 - 104*T1^5*T2^5 - 104*T1^6*T2^5 + 
     313*T1^7*T2^5 - 26*T1^8*T2^5 - 28*T1^9*T2^5 - 6*T1^10*T2^5 - 
     3*T1^11*T2^5 + T2^6 + 6*T1*T2^6 + 8*T1^2*T2^6 + 90*T1^3*T2^6 - 
     247*T1^4*T2^6 - 104*T1^5*T2^6 + 144*T1^6*T2^6 - 104*T1^7*T2^6 - 
     247*T1^8*T2^6 + 90*T1^9*T2^6 + 8*T1^10*T2^6 + 6*T1^11*T2^6 + 
     T1^12*T2^6 - 3*T1*T2^7 - 6*T1^2*T2^7 - 28*T1^3*T2^7 - 26*T1^4*T2^7 + 
     313*T1^5*T2^7 - 104*T1^6*T2^7 - 104*T1^7*T2^7 + 313*T1^8*T2^7 - 
     26*T1^9*T2^7 - 28*T1^10*T2^7 - 6*T1^11*T2^7 - 3*T1^12*T2^7 + 
     5*T1^2*T2^8 + 6*T1^3*T2^8 + 20*T1^4*T2^8 - 26*T1^5*T2^8 - 
     247*T1^6*T2^8 + 313*T1^7*T2^8 - 247*T1^8*T2^8 - 26*T1^9*T2^8 + 
     20*T1^10*T2^8 + 6*T1^11*T2^8 + 5*T1^12*T2^8 - 7*T1^3*T2^9 + 
     6*T1^4*T2^9 - 28*T1^5*T2^9 + 90*T1^6*T2^9 - 26*T1^7*T2^9 - 
     26*T1^8*T2^9 + 90*T1^9*T2^9 - 28*T1^10*T2^9 + 6*T1^11*T2^9 - 
     7*T1^12*T2^9 + 5*T1^4*T2^10 - 6*T1^5*T2^10 + 8*T1^6*T2^10 - 
     28*T1^7*T2^10 + 20*T1^8*T2^10 - 28*T1^9*T2^10 + 8*T1^10*T2^10 - 
     6*T1^11*T2^10 + 5*T1^12*T2^10 - 3*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 - 3*T1^12*T2^11 + T1^6*T2^12 - 3*T1^7*T2^12 + 
     5*T1^8*T2^12 - 7*T1^9*T2^12 + 5*T1^10*T2^12 - 3*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[10, 33] -> 
  {(4 - 16*T + 25*T^2 - 16*T^3 + 4*T^4)/T^2, 0}, 
 Knot[10, 34] -> {(3 - 9*T + 13*T^2 - 9*T^3 + 3*T^4)/T^2, 
   (9 - 27*T1 + 41*T1^2 - 27*T1^3 + 9*T1^4 - 27*T2 + 54*T1*T2 - 42*T1^2*T2 - 
     42*T1^3*T2 + 54*T1^4*T2 - 27*T1^5*T2 + 41*T2^2 - 42*T1*T2^2 + 
     9*T1^2*T2^2 + 81*T1^3*T2^2 + 9*T1^4*T2^2 - 42*T1^5*T2^2 + 41*T1^6*T2^2 - 
     27*T2^3 - 42*T1*T2^3 + 81*T1^2*T2^3 - 108*T1^3*T2^3 - 108*T1^4*T2^3 + 
     81*T1^5*T2^3 - 42*T1^6*T2^3 - 27*T1^7*T2^3 + 9*T2^4 + 54*T1*T2^4 + 
     9*T1^2*T2^4 - 108*T1^3*T2^4 + 312*T1^4*T2^4 - 108*T1^5*T2^4 + 
     9*T1^6*T2^4 + 54*T1^7*T2^4 + 9*T1^8*T2^4 - 27*T1*T2^5 - 42*T1^2*T2^5 + 
     81*T1^3*T2^5 - 108*T1^4*T2^5 - 108*T1^5*T2^5 + 81*T1^6*T2^5 - 
     42*T1^7*T2^5 - 27*T1^8*T2^5 + 41*T1^2*T2^6 - 42*T1^3*T2^6 + 
     9*T1^4*T2^6 + 81*T1^5*T2^6 + 9*T1^6*T2^6 - 42*T1^7*T2^6 + 41*T1^8*T2^6 - 
     27*T1^3*T2^7 + 54*T1^4*T2^7 - 42*T1^5*T2^7 - 42*T1^6*T2^7 + 
     54*T1^7*T2^7 - 27*T1^8*T2^7 + 9*T1^4*T2^8 - 27*T1^5*T2^8 + 
     41*T1^6*T2^8 - 27*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[10, 35] -> {((2 - 4*T + T^2)*(1 - 4*T + 2*T^2))/T^2, 
   (1 - 7*T1 + 13*T1^2 - 7*T1^3 + T1^4 - 7*T2 + 42*T1*T2 - 42*T1^2*T2 - 
     42*T1^3*T2 + 42*T1^4*T2 - 7*T1^5*T2 + 13*T2^2 - 42*T1*T2^2 - 
     148*T1^2*T2^2 + 426*T1^3*T2^2 - 148*T1^4*T2^2 - 42*T1^5*T2^2 + 
     13*T1^6*T2^2 - 7*T2^3 - 42*T1*T2^3 + 426*T1^2*T2^3 - 468*T1^3*T2^3 - 
     468*T1^4*T2^3 + 426*T1^5*T2^3 - 42*T1^6*T2^3 - 7*T1^7*T2^3 + T2^4 + 
     42*T1*T2^4 - 148*T1^2*T2^4 - 468*T1^3*T2^4 + 1392*T1^4*T2^4 - 
     468*T1^5*T2^4 - 148*T1^6*T2^4 + 42*T1^7*T2^4 + T1^8*T2^4 - 7*T1*T2^5 - 
     42*T1^2*T2^5 + 426*T1^3*T2^5 - 468*T1^4*T2^5 - 468*T1^5*T2^5 + 
     426*T1^6*T2^5 - 42*T1^7*T2^5 - 7*T1^8*T2^5 + 13*T1^2*T2^6 - 
     42*T1^3*T2^6 - 148*T1^4*T2^6 + 426*T1^5*T2^6 - 148*T1^6*T2^6 - 
     42*T1^7*T2^6 + 13*T1^8*T2^6 - 7*T1^3*T2^7 + 42*T1^4*T2^7 - 
     42*T1^5*T2^7 - 42*T1^6*T2^7 + 42*T1^7*T2^7 - 7*T1^8*T2^7 + T1^4*T2^8 - 
     7*T1^5*T2^8 + 13*T1^6*T2^8 - 7*T1^7*T2^8 + T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[10, 36] -> {-((3 - 13*T + 19*T^2 - 13*T^3 + 3*T^4)/T^2), 
   (2*(18 - 76*T1 + 109*T1^2 - 76*T1^3 + 18*T1^4 - 76*T2 + 246*T1*T2 - 
      141*T1^2*T2 - 141*T1^3*T2 + 246*T1^4*T2 - 76*T1^5*T2 + 109*T2^2 - 
      141*T1*T2^2 - 584*T1^2*T2^2 + 1033*T1^3*T2^2 - 584*T1^4*T2^2 - 
      141*T1^5*T2^2 + 109*T1^6*T2^2 - 76*T2^3 - 141*T1*T2^3 + 
      1033*T1^2*T2^3 - 624*T1^3*T2^3 - 624*T1^4*T2^3 + 1033*T1^5*T2^3 - 
      141*T1^6*T2^3 - 76*T1^7*T2^3 + 18*T2^4 + 246*T1*T2^4 - 584*T1^2*T2^4 - 
      624*T1^3*T2^4 + 1416*T1^4*T2^4 - 624*T1^5*T2^4 - 584*T1^6*T2^4 + 
      246*T1^7*T2^4 + 18*T1^8*T2^4 - 76*T1*T2^5 - 141*T1^2*T2^5 + 
      1033*T1^3*T2^5 - 624*T1^4*T2^5 - 624*T1^5*T2^5 + 1033*T1^6*T2^5 - 
      141*T1^7*T2^5 - 76*T1^8*T2^5 + 109*T1^2*T2^6 - 141*T1^3*T2^6 - 
      584*T1^4*T2^6 + 1033*T1^5*T2^6 - 584*T1^6*T2^6 - 141*T1^7*T2^6 + 
      109*T1^8*T2^6 - 76*T1^3*T2^7 + 246*T1^4*T2^7 - 141*T1^5*T2^7 - 
      141*T1^6*T2^7 + 246*T1^7*T2^7 - 76*T1^8*T2^7 + 18*T1^4*T2^8 - 
      76*T1^5*T2^8 + 109*T1^6*T2^8 - 76*T1^7*T2^8 + 18*T1^8*T2^8))/
    (T1^4*T2^4)}, Knot[10, 37] -> {(4 - 13*T + 19*T^2 - 13*T^3 + 4*T^4)/T^2, 
   0}, Knot[10, 38] -> {-((4 - 15*T + 21*T^2 - 15*T^3 + 4*T^4)/T^2), 
   (2*(40 - 148*T1 + 204*T1^2 - 148*T1^3 + 40*T1^4 - 148*T2 + 402*T1*T2 - 
      210*T1^2*T2 - 210*T1^3*T2 + 402*T1^4*T2 - 148*T1^5*T2 + 204*T2^2 - 
      210*T1*T2^2 - 796*T1^2*T2^2 + 1329*T1^3*T2^2 - 796*T1^4*T2^2 - 
      210*T1^5*T2^2 + 204*T1^6*T2^2 - 148*T2^3 - 210*T1*T2^3 + 
      1329*T1^2*T2^3 - 720*T1^3*T2^3 - 720*T1^4*T2^3 + 1329*T1^5*T2^3 - 
      210*T1^6*T2^3 - 148*T1^7*T2^3 + 40*T2^4 + 402*T1*T2^4 - 796*T1^2*T2^4 - 
      720*T1^3*T2^4 + 1542*T1^4*T2^4 - 720*T1^5*T2^4 - 796*T1^6*T2^4 + 
      402*T1^7*T2^4 + 40*T1^8*T2^4 - 148*T1*T2^5 - 210*T1^2*T2^5 + 
      1329*T1^3*T2^5 - 720*T1^4*T2^5 - 720*T1^5*T2^5 + 1329*T1^6*T2^5 - 
      210*T1^7*T2^5 - 148*T1^8*T2^5 + 204*T1^2*T2^6 - 210*T1^3*T2^6 - 
      796*T1^4*T2^6 + 1329*T1^5*T2^6 - 796*T1^6*T2^6 - 210*T1^7*T2^6 + 
      204*T1^8*T2^6 - 148*T1^3*T2^7 + 402*T1^4*T2^7 - 210*T1^5*T2^7 - 
      210*T1^6*T2^7 + 402*T1^7*T2^7 - 148*T1^8*T2^7 + 40*T1^4*T2^8 - 
      148*T1^5*T2^8 + 204*T1^6*T2^8 - 148*T1^7*T2^8 + 40*T1^8*T2^8))/
    (T1^4*T2^4)}, Knot[10, 39] -> 
  {-((2 - 8*T + 13*T^2 - 15*T^3 + 13*T^4 - 8*T^5 + 2*T^6)/T^3), 
   (17 - 67*T1 + 107*T1^2 - 123*T1^3 + 107*T1^4 - 67*T1^5 + 17*T1^6 - 67*T2 + 
     198*T1*T2 - 160*T1^2*T2 + 64*T1^3*T2 + 64*T1^4*T2 - 160*T1^5*T2 + 
     198*T1^6*T2 - 67*T1^7*T2 + 107*T2^2 - 160*T1*T2^2 - 260*T1^2*T2^2 + 
     496*T1^3*T2^2 - 604*T1^4*T2^2 + 496*T1^5*T2^2 - 260*T1^6*T2^2 - 
     160*T1^7*T2^2 + 107*T1^8*T2^2 - 123*T2^3 + 64*T1*T2^3 + 496*T1^2*T2^3 - 
     340*T1^3*T2^3 + 156*T1^4*T2^3 + 156*T1^5*T2^3 - 340*T1^6*T2^3 + 
     496*T1^7*T2^3 + 64*T1^8*T2^3 - 123*T1^9*T2^3 + 107*T2^4 + 64*T1*T2^4 - 
     604*T1^2*T2^4 + 156*T1^3*T2^4 - 116*T1^4*T2^4 - 10*T1^5*T2^4 - 
     116*T1^6*T2^4 + 156*T1^7*T2^4 - 604*T1^8*T2^4 + 64*T1^9*T2^4 + 
     107*T1^10*T2^4 - 67*T2^5 - 160*T1*T2^5 + 496*T1^2*T2^5 + 156*T1^3*T2^5 - 
     10*T1^4*T2^5 + 90*T1^5*T2^5 + 90*T1^6*T2^5 - 10*T1^7*T2^5 + 
     156*T1^8*T2^5 + 496*T1^9*T2^5 - 160*T1^10*T2^5 - 67*T1^11*T2^5 + 
     17*T2^6 + 198*T1*T2^6 - 260*T1^2*T2^6 - 340*T1^3*T2^6 - 116*T1^4*T2^6 + 
     90*T1^5*T2^6 - 264*T1^6*T2^6 + 90*T1^7*T2^6 - 116*T1^8*T2^6 - 
     340*T1^9*T2^6 - 260*T1^10*T2^6 + 198*T1^11*T2^6 + 17*T1^12*T2^6 - 
     67*T1*T2^7 - 160*T1^2*T2^7 + 496*T1^3*T2^7 + 156*T1^4*T2^7 - 
     10*T1^5*T2^7 + 90*T1^6*T2^7 + 90*T1^7*T2^7 - 10*T1^8*T2^7 + 
     156*T1^9*T2^7 + 496*T1^10*T2^7 - 160*T1^11*T2^7 - 67*T1^12*T2^7 + 
     107*T1^2*T2^8 + 64*T1^3*T2^8 - 604*T1^4*T2^8 + 156*T1^5*T2^8 - 
     116*T1^6*T2^8 - 10*T1^7*T2^8 - 116*T1^8*T2^8 + 156*T1^9*T2^8 - 
     604*T1^10*T2^8 + 64*T1^11*T2^8 + 107*T1^12*T2^8 - 123*T1^3*T2^9 + 
     64*T1^4*T2^9 + 496*T1^5*T2^9 - 340*T1^6*T2^9 + 156*T1^7*T2^9 + 
     156*T1^8*T2^9 - 340*T1^9*T2^9 + 496*T1^10*T2^9 + 64*T1^11*T2^9 - 
     123*T1^12*T2^9 + 107*T1^4*T2^10 - 160*T1^5*T2^10 - 260*T1^6*T2^10 + 
     496*T1^7*T2^10 - 604*T1^8*T2^10 + 496*T1^9*T2^10 - 260*T1^10*T2^10 - 
     160*T1^11*T2^10 + 107*T1^12*T2^10 - 67*T1^5*T2^11 + 198*T1^6*T2^11 - 
     160*T1^7*T2^11 + 64*T1^8*T2^11 + 64*T1^9*T2^11 - 160*T1^10*T2^11 + 
     198*T1^11*T2^11 - 67*T1^12*T2^11 + 17*T1^6*T2^12 - 67*T1^7*T2^12 + 
     107*T1^8*T2^12 - 123*T1^9*T2^12 + 107*T1^10*T2^12 - 67*T1^11*T2^12 + 
     17*T1^12*T2^12)/(T1^6*T2^6)}, Knot[10, 40] -> 
  {((2 - 2*T + T^2)*(1 - T + T^2)*(1 - 2*T + 2*T^2))/T^3, 
   (9 - 35*T1 + 73*T1^2 - 89*T1^3 + 73*T1^4 - 35*T1^5 + 9*T1^6 - 35*T2 + 
     102*T1*T2 - 150*T1^2*T2 + 64*T1^3*T2 + 64*T1^4*T2 - 150*T1^5*T2 + 
     102*T1^6*T2 - 35*T1^7*T2 + 73*T2^2 - 150*T1*T2^2 + 136*T1^2*T2^2 + 
     118*T1^3*T2^2 - 204*T1^4*T2^2 + 118*T1^5*T2^2 + 136*T1^6*T2^2 - 
     150*T1^7*T2^2 + 73*T1^8*T2^2 - 89*T2^3 + 64*T1*T2^3 + 118*T1^2*T2^3 - 
     474*T1^3*T2^3 + 190*T1^4*T2^3 + 190*T1^5*T2^3 - 474*T1^6*T2^3 + 
     118*T1^7*T2^3 + 64*T1^8*T2^3 - 89*T1^9*T2^3 + 73*T2^4 + 64*T1*T2^4 - 
     204*T1^2*T2^4 + 190*T1^3*T2^4 + 735*T1^4*T2^4 - 1017*T1^5*T2^4 + 
     735*T1^6*T2^4 + 190*T1^7*T2^4 - 204*T1^8*T2^4 + 64*T1^9*T2^4 + 
     73*T1^10*T2^4 - 35*T2^5 - 150*T1*T2^5 + 118*T1^2*T2^5 + 190*T1^3*T2^5 - 
     1017*T1^4*T2^5 + 404*T1^5*T2^5 + 404*T1^6*T2^5 - 1017*T1^7*T2^5 + 
     190*T1^8*T2^5 + 118*T1^9*T2^5 - 150*T1^10*T2^5 - 35*T1^11*T2^5 + 
     9*T2^6 + 102*T1*T2^6 + 136*T1^2*T2^6 - 474*T1^3*T2^6 + 735*T1^4*T2^6 + 
     404*T1^5*T2^6 - 732*T1^6*T2^6 + 404*T1^7*T2^6 + 735*T1^8*T2^6 - 
     474*T1^9*T2^6 + 136*T1^10*T2^6 + 102*T1^11*T2^6 + 9*T1^12*T2^6 - 
     35*T1*T2^7 - 150*T1^2*T2^7 + 118*T1^3*T2^7 + 190*T1^4*T2^7 - 
     1017*T1^5*T2^7 + 404*T1^6*T2^7 + 404*T1^7*T2^7 - 1017*T1^8*T2^7 + 
     190*T1^9*T2^7 + 118*T1^10*T2^7 - 150*T1^11*T2^7 - 35*T1^12*T2^7 + 
     73*T1^2*T2^8 + 64*T1^3*T2^8 - 204*T1^4*T2^8 + 190*T1^5*T2^8 + 
     735*T1^6*T2^8 - 1017*T1^7*T2^8 + 735*T1^8*T2^8 + 190*T1^9*T2^8 - 
     204*T1^10*T2^8 + 64*T1^11*T2^8 + 73*T1^12*T2^8 - 89*T1^3*T2^9 + 
     64*T1^4*T2^9 + 118*T1^5*T2^9 - 474*T1^6*T2^9 + 190*T1^7*T2^9 + 
     190*T1^8*T2^9 - 474*T1^9*T2^9 + 118*T1^10*T2^9 + 64*T1^11*T2^9 - 
     89*T1^12*T2^9 + 73*T1^4*T2^10 - 150*T1^5*T2^10 + 136*T1^6*T2^10 + 
     118*T1^7*T2^10 - 204*T1^8*T2^10 + 118*T1^9*T2^10 + 136*T1^10*T2^10 - 
     150*T1^11*T2^10 + 73*T1^12*T2^10 - 35*T1^5*T2^11 + 102*T1^6*T2^11 - 
     150*T1^7*T2^11 + 64*T1^8*T2^11 + 64*T1^9*T2^11 - 150*T1^10*T2^11 + 
     102*T1^11*T2^11 - 35*T1^12*T2^11 + 9*T1^6*T2^12 - 35*T1^7*T2^12 + 
     73*T1^8*T2^12 - 89*T1^9*T2^12 + 73*T1^10*T2^12 - 35*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, Knot[10, 41] -> 
  {(1 - 7*T + 17*T^2 - 21*T^3 + 17*T^4 - 7*T^5 + T^6)/T^3, 
   -((1 - 7*T1 + 17*T1^2 - 21*T1^3 + 17*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 70*T1^2*T2 + 28*T1^3*T2 + 28*T1^4*T2 - 70*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 17*T2^2 - 70*T1*T2^2 - 31*T1^2*T2^2 + 
      337*T1^3*T2^2 - 427*T1^4*T2^2 + 337*T1^5*T2^2 - 31*T1^6*T2^2 - 
      70*T1^7*T2^2 + 17*T1^8*T2^2 - 21*T2^3 + 28*T1*T2^3 + 337*T1^2*T2^3 - 
      734*T1^3*T2^3 + 270*T1^4*T2^3 + 270*T1^5*T2^3 - 734*T1^6*T2^3 + 
      337*T1^7*T2^3 + 28*T1^8*T2^3 - 21*T1^9*T2^3 + 17*T2^4 + 28*T1*T2^4 - 
      427*T1^2*T2^4 + 270*T1^3*T2^4 + 1073*T1^4*T2^4 - 1471*T1^5*T2^4 + 
      1073*T1^6*T2^4 + 270*T1^7*T2^4 - 427*T1^8*T2^4 + 28*T1^9*T2^4 + 
      17*T1^10*T2^4 - 7*T2^5 - 70*T1*T2^5 + 337*T1^2*T2^5 + 270*T1^3*T2^5 - 
      1471*T1^4*T2^5 + 642*T1^5*T2^5 + 642*T1^6*T2^5 - 1471*T1^7*T2^5 + 
      270*T1^8*T2^5 + 337*T1^9*T2^5 - 70*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 - 31*T1^2*T2^6 - 734*T1^3*T2^6 + 1073*T1^4*T2^6 + 
      642*T1^5*T2^6 - 1344*T1^6*T2^6 + 642*T1^7*T2^6 + 1073*T1^8*T2^6 - 
      734*T1^9*T2^6 - 31*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 70*T1^2*T2^7 + 337*T1^3*T2^7 + 270*T1^4*T2^7 - 
      1471*T1^5*T2^7 + 642*T1^6*T2^7 + 642*T1^7*T2^7 - 1471*T1^8*T2^7 + 
      270*T1^9*T2^7 + 337*T1^10*T2^7 - 70*T1^11*T2^7 - 7*T1^12*T2^7 + 
      17*T1^2*T2^8 + 28*T1^3*T2^8 - 427*T1^4*T2^8 + 270*T1^5*T2^8 + 
      1073*T1^6*T2^8 - 1471*T1^7*T2^8 + 1073*T1^8*T2^8 + 270*T1^9*T2^8 - 
      427*T1^10*T2^8 + 28*T1^11*T2^8 + 17*T1^12*T2^8 - 21*T1^3*T2^9 + 
      28*T1^4*T2^9 + 337*T1^5*T2^9 - 734*T1^6*T2^9 + 270*T1^7*T2^9 + 
      270*T1^8*T2^9 - 734*T1^9*T2^9 + 337*T1^10*T2^9 + 28*T1^11*T2^9 - 
      21*T1^12*T2^9 + 17*T1^4*T2^10 - 70*T1^5*T2^10 - 31*T1^6*T2^10 + 
      337*T1^7*T2^10 - 427*T1^8*T2^10 + 337*T1^9*T2^10 - 31*T1^10*T2^10 - 
      70*T1^11*T2^10 + 17*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      70*T1^7*T2^11 + 28*T1^8*T2^11 + 28*T1^9*T2^11 - 70*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      17*T1^8*T2^12 - 21*T1^9*T2^12 + 17*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[10, 42] -> 
  {-(((-1 + 3*T - 4*T^2 + T^3)*(-1 + 4*T - 3*T^2 + T^3))/T^3), 
   -((6 - 24*T1 + 38*T1^2 - 24*T1^3 + 6*T1^4 - 24*T2 + 72*T1*T2 - 
      54*T1^2*T2 - 54*T1^3*T2 + 72*T1^4*T2 - 24*T1^5*T2 + 38*T2^2 - 
      54*T1*T2^2 - 109*T1^2*T2^2 + 279*T1^3*T2^2 - 109*T1^4*T2^2 - 
      54*T1^5*T2^2 + 38*T1^6*T2^2 - 24*T2^3 - 54*T1*T2^3 + 279*T1^2*T2^3 - 
      222*T1^3*T2^3 - 222*T1^4*T2^3 + 279*T1^5*T2^3 - 54*T1^6*T2^3 - 
      24*T1^7*T2^3 + 6*T2^4 + 72*T1*T2^4 - 109*T1^2*T2^4 - 222*T1^3*T2^4 + 
      552*T1^4*T2^4 - 222*T1^5*T2^4 - 109*T1^6*T2^4 + 72*T1^7*T2^4 + 
      6*T1^8*T2^4 - 24*T1*T2^5 - 54*T1^2*T2^5 + 279*T1^3*T2^5 - 
      222*T1^4*T2^5 - 222*T1^5*T2^5 + 279*T1^6*T2^5 - 54*T1^7*T2^5 - 
      24*T1^8*T2^5 + 38*T1^2*T2^6 - 54*T1^3*T2^6 - 109*T1^4*T2^6 + 
      279*T1^5*T2^6 - 109*T1^6*T2^6 - 54*T1^7*T2^6 + 38*T1^8*T2^6 - 
      24*T1^3*T2^7 + 72*T1^4*T2^7 - 54*T1^5*T2^7 - 54*T1^6*T2^7 + 
      72*T1^7*T2^7 - 24*T1^8*T2^7 + 6*T1^4*T2^8 - 24*T1^5*T2^8 + 
      38*T1^6*T2^8 - 24*T1^7*T2^8 + 6*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[10, 43] -> {-((1 - 7*T + 17*T^2 - 23*T^3 + 17*T^4 - 7*T^5 + T^6)/T^3), 
   0}, Knot[10, 44] -> {(1 - 7*T + 19*T^2 - 25*T^3 + 19*T^4 - 7*T^5 + T^6)/
    T^3, -((1 - 7*T1 + 19*T1^2 - 25*T1^3 + 19*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 84*T1^2*T2 + 42*T1^3*T2 + 42*T1^4*T2 - 84*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 19*T2^2 - 84*T1*T2^2 + 43*T1^2*T2^2 + 
      297*T1^3*T2^2 - 469*T1^4*T2^2 + 297*T1^5*T2^2 + 43*T1^6*T2^2 - 
      84*T1^7*T2^2 + 19*T1^8*T2^2 - 25*T2^3 + 42*T1*T2^3 + 297*T1^2*T2^3 - 
      912*T1^3*T2^3 + 466*T1^4*T2^3 + 466*T1^5*T2^3 - 912*T1^6*T2^3 + 
      297*T1^7*T2^3 + 42*T1^8*T2^3 - 25*T1^9*T2^3 + 19*T2^4 + 42*T1*T2^4 - 
      469*T1^2*T2^4 + 466*T1^3*T2^4 + 1394*T1^4*T2^4 - 2348*T1^5*T2^4 + 
      1394*T1^6*T2^4 + 466*T1^7*T2^4 - 469*T1^8*T2^4 + 42*T1^9*T2^4 + 
      19*T1^10*T2^4 - 7*T2^5 - 84*T1*T2^5 + 297*T1^2*T2^5 + 466*T1^3*T2^5 - 
      2348*T1^4*T2^5 + 1262*T1^5*T2^5 + 1262*T1^6*T2^5 - 2348*T1^7*T2^5 + 
      466*T1^8*T2^5 + 297*T1^9*T2^5 - 84*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 + 43*T1^2*T2^6 - 912*T1^3*T2^6 + 1394*T1^4*T2^6 + 
      1262*T1^5*T2^6 - 2724*T1^6*T2^6 + 1262*T1^7*T2^6 + 1394*T1^8*T2^6 - 
      912*T1^9*T2^6 + 43*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 84*T1^2*T2^7 + 297*T1^3*T2^7 + 466*T1^4*T2^7 - 
      2348*T1^5*T2^7 + 1262*T1^6*T2^7 + 1262*T1^7*T2^7 - 2348*T1^8*T2^7 + 
      466*T1^9*T2^7 + 297*T1^10*T2^7 - 84*T1^11*T2^7 - 7*T1^12*T2^7 + 
      19*T1^2*T2^8 + 42*T1^3*T2^8 - 469*T1^4*T2^8 + 466*T1^5*T2^8 + 
      1394*T1^6*T2^8 - 2348*T1^7*T2^8 + 1394*T1^8*T2^8 + 466*T1^9*T2^8 - 
      469*T1^10*T2^8 + 42*T1^11*T2^8 + 19*T1^12*T2^8 - 25*T1^3*T2^9 + 
      42*T1^4*T2^9 + 297*T1^5*T2^9 - 912*T1^6*T2^9 + 466*T1^7*T2^9 + 
      466*T1^8*T2^9 - 912*T1^9*T2^9 + 297*T1^10*T2^9 + 42*T1^11*T2^9 - 
      25*T1^12*T2^9 + 19*T1^4*T2^10 - 84*T1^5*T2^10 + 43*T1^6*T2^10 + 
      297*T1^7*T2^10 - 469*T1^8*T2^10 + 297*T1^9*T2^10 + 43*T1^10*T2^10 - 
      84*T1^11*T2^10 + 19*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      84*T1^7*T2^11 + 42*T1^8*T2^11 + 42*T1^9*T2^11 - 84*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      19*T1^8*T2^12 - 25*T1^9*T2^12 + 19*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[10, 45] -> 
  {-((1 - 7*T + 21*T^2 - 31*T^3 + 21*T^4 - 7*T^5 + T^6)/T^3), 0}, 
 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), -((3 - 9*T1 + 12*T1^2 - 15*T1^3 + 15*T1^4 - 
      15*T1^5 + 12*T1^6 - 9*T1^7 + 3*T1^8 - 9*T2 + 18*T1*T2 - 9*T1^2*T2 + 
      9*T1^3*T2 + 9*T1^6*T2 - 9*T1^7*T2 + 18*T1^8*T2 - 9*T1^9*T2 + 12*T2^2 - 
      9*T1*T2^2 - 22*T1^2*T2^2 + 16*T1^3*T2^2 - 31*T1^4*T2^2 + 20*T1^5*T2^2 - 
      31*T1^6*T2^2 + 16*T1^7*T2^2 - 22*T1^8*T2^2 - 9*T1^9*T2^2 + 
      12*T1^10*T2^2 - 15*T2^3 + 9*T1*T2^3 + 16*T1^2*T2^3 + 14*T1^3*T2^3 + 
      8*T1^4*T2^3 + 12*T1^5*T2^3 + 12*T1^6*T2^3 + 8*T1^7*T2^3 + 
      14*T1^8*T2^3 + 16*T1^9*T2^3 + 9*T1^10*T2^3 - 15*T1^11*T2^3 + 15*T2^4 - 
      31*T1^2*T2^4 + 8*T1^3*T2^4 - 58*T1^4*T2^4 + 35*T1^5*T2^4 - 
      70*T1^6*T2^4 + 35*T1^7*T2^4 - 58*T1^8*T2^4 + 8*T1^9*T2^4 - 
      31*T1^10*T2^4 + 15*T1^12*T2^4 - 15*T2^5 + 20*T1^2*T2^5 + 12*T1^3*T2^5 + 
      35*T1^4*T2^5 + 12*T1^5*T2^5 + 22*T1^6*T2^5 + 22*T1^7*T2^5 + 
      12*T1^8*T2^5 + 35*T1^9*T2^5 + 12*T1^10*T2^5 + 20*T1^11*T2^5 - 
      15*T1^13*T2^5 + 12*T2^6 + 9*T1*T2^6 - 31*T1^2*T2^6 + 12*T1^3*T2^6 - 
      70*T1^4*T2^6 + 22*T1^5*T2^6 - 70*T1^6*T2^6 + 30*T1^7*T2^6 - 
      70*T1^8*T2^6 + 22*T1^9*T2^6 - 70*T1^10*T2^6 + 12*T1^11*T2^6 - 
      31*T1^12*T2^6 + 9*T1^13*T2^6 + 12*T1^14*T2^6 - 9*T2^7 - 9*T1*T2^7 + 
      16*T1^2*T2^7 + 8*T1^3*T2^7 + 35*T1^4*T2^7 + 22*T1^5*T2^7 + 
      30*T1^6*T2^7 + 16*T1^7*T2^7 + 16*T1^8*T2^7 + 30*T1^9*T2^7 + 
      22*T1^10*T2^7 + 35*T1^11*T2^7 + 8*T1^12*T2^7 + 16*T1^13*T2^7 - 
      9*T1^14*T2^7 - 9*T1^15*T2^7 + 3*T2^8 + 18*T1*T2^8 - 22*T1^2*T2^8 + 
      14*T1^3*T2^8 - 58*T1^4*T2^8 + 12*T1^5*T2^8 - 70*T1^6*T2^8 + 
      16*T1^7*T2^8 - 48*T1^8*T2^8 + 16*T1^9*T2^8 - 70*T1^10*T2^8 + 
      12*T1^11*T2^8 - 58*T1^12*T2^8 + 14*T1^13*T2^8 - 22*T1^14*T2^8 + 
      18*T1^15*T2^8 + 3*T1^16*T2^8 - 9*T1*T2^9 - 9*T1^2*T2^9 + 16*T1^3*T2^9 + 
      8*T1^4*T2^9 + 35*T1^5*T2^9 + 22*T1^6*T2^9 + 30*T1^7*T2^9 + 
      16*T1^8*T2^9 + 16*T1^9*T2^9 + 30*T1^10*T2^9 + 22*T1^11*T2^9 + 
      35*T1^12*T2^9 + 8*T1^13*T2^9 + 16*T1^14*T2^9 - 9*T1^15*T2^9 - 
      9*T1^16*T2^9 + 12*T1^2*T2^10 + 9*T1^3*T2^10 - 31*T1^4*T2^10 + 
      12*T1^5*T2^10 - 70*T1^6*T2^10 + 22*T1^7*T2^10 - 70*T1^8*T2^10 + 
      30*T1^9*T2^10 - 70*T1^10*T2^10 + 22*T1^11*T2^10 - 70*T1^12*T2^10 + 
      12*T1^13*T2^10 - 31*T1^14*T2^10 + 9*T1^15*T2^10 + 12*T1^16*T2^10 - 
      15*T1^3*T2^11 + 20*T1^5*T2^11 + 12*T1^6*T2^11 + 35*T1^7*T2^11 + 
      12*T1^8*T2^11 + 22*T1^9*T2^11 + 22*T1^10*T2^11 + 12*T1^11*T2^11 + 
      35*T1^12*T2^11 + 12*T1^13*T2^11 + 20*T1^14*T2^11 - 15*T1^16*T2^11 + 
      15*T1^4*T2^12 - 31*T1^6*T2^12 + 8*T1^7*T2^12 - 58*T1^8*T2^12 + 
      35*T1^9*T2^12 - 70*T1^10*T2^12 + 35*T1^11*T2^12 - 58*T1^12*T2^12 + 
      8*T1^13*T2^12 - 31*T1^14*T2^12 + 15*T1^16*T2^12 - 15*T1^5*T2^13 + 
      9*T1^6*T2^13 + 16*T1^7*T2^13 + 14*T1^8*T2^13 + 8*T1^9*T2^13 + 
      12*T1^10*T2^13 + 12*T1^11*T2^13 + 8*T1^12*T2^13 + 14*T1^13*T2^13 + 
      16*T1^14*T2^13 + 9*T1^15*T2^13 - 15*T1^16*T2^13 + 12*T1^6*T2^14 - 
      9*T1^7*T2^14 - 22*T1^8*T2^14 + 16*T1^9*T2^14 - 31*T1^10*T2^14 + 
      20*T1^11*T2^14 - 31*T1^12*T2^14 + 16*T1^13*T2^14 - 22*T1^14*T2^14 - 
      9*T1^15*T2^14 + 12*T1^16*T2^14 - 9*T1^7*T2^15 + 18*T1^8*T2^15 - 
      9*T1^9*T2^15 + 9*T1^10*T2^15 + 9*T1^13*T2^15 - 9*T1^14*T2^15 + 
      18*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)/(T1^8*T2^8))}, 
 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, (2 - 6*T1 + 12*T1^2 - 14*T1^3 + 14*T1^4 - 14*T1^5 + 12*T1^6 - 
     6*T1^7 + 2*T1^8 - 6*T2 + 12*T1*T2 - 18*T1^2*T2 + 6*T1^3*T2 + 6*T1^6*T2 - 
     18*T1^7*T2 + 12*T1^8*T2 - 6*T1^9*T2 + 12*T2^2 - 18*T1*T2^2 + 
     29*T1^2*T2^2 - 8*T1^3*T2^2 + 22*T1^4*T2^2 - 33*T1^5*T2^2 + 
     22*T1^6*T2^2 - 8*T1^7*T2^2 + 29*T1^8*T2^2 - 18*T1^9*T2^2 + 
     12*T1^10*T2^2 - 14*T2^3 + 6*T1*T2^3 - 8*T1^2*T2^3 - 32*T1^3*T2^3 - 
     9*T1^4*T2^3 + 11*T1^5*T2^3 + 11*T1^6*T2^3 - 9*T1^7*T2^3 - 32*T1^8*T2^3 - 
     8*T1^9*T2^3 + 6*T1^10*T2^3 - 14*T1^11*T2^3 + 14*T2^4 + 22*T1^2*T2^4 - 
     9*T1^3*T2^4 + 103*T1^4*T2^4 - 84*T1^5*T2^4 + 63*T1^6*T2^4 - 
     84*T1^7*T2^4 + 103*T1^8*T2^4 - 9*T1^9*T2^4 + 22*T1^10*T2^4 + 
     14*T1^12*T2^4 - 14*T2^5 - 33*T1^2*T2^5 + 11*T1^3*T2^5 - 84*T1^4*T2^5 + 
     4*T1^5*T2^5 + 11*T1^6*T2^5 + 11*T1^7*T2^5 + 4*T1^8*T2^5 - 84*T1^9*T2^5 + 
     11*T1^10*T2^5 - 33*T1^11*T2^5 - 14*T1^13*T2^5 + 12*T2^6 + 6*T1*T2^6 + 
     22*T1^2*T2^6 + 11*T1^3*T2^6 + 63*T1^4*T2^6 + 11*T1^5*T2^6 + 
     14*T1^6*T2^6 - 34*T1^7*T2^6 + 14*T1^8*T2^6 + 11*T1^9*T2^6 + 
     63*T1^10*T2^6 + 11*T1^11*T2^6 + 22*T1^12*T2^6 + 6*T1^13*T2^6 + 
     12*T1^14*T2^6 - 6*T2^7 - 18*T1*T2^7 - 8*T1^2*T2^7 - 9*T1^3*T2^7 - 
     84*T1^4*T2^7 + 11*T1^5*T2^7 - 34*T1^6*T2^7 + 18*T1^7*T2^7 + 
     18*T1^8*T2^7 - 34*T1^9*T2^7 + 11*T1^10*T2^7 - 84*T1^11*T2^7 - 
     9*T1^12*T2^7 - 8*T1^13*T2^7 - 18*T1^14*T2^7 - 6*T1^15*T2^7 + 2*T2^8 + 
     12*T1*T2^8 + 29*T1^2*T2^8 - 32*T1^3*T2^8 + 103*T1^4*T2^8 + 4*T1^5*T2^8 + 
     14*T1^6*T2^8 + 18*T1^7*T2^8 - 36*T1^8*T2^8 + 18*T1^9*T2^8 + 
     14*T1^10*T2^8 + 4*T1^11*T2^8 + 103*T1^12*T2^8 - 32*T1^13*T2^8 + 
     29*T1^14*T2^8 + 12*T1^15*T2^8 + 2*T1^16*T2^8 - 6*T1*T2^9 - 
     18*T1^2*T2^9 - 8*T1^3*T2^9 - 9*T1^4*T2^9 - 84*T1^5*T2^9 + 11*T1^6*T2^9 - 
     34*T1^7*T2^9 + 18*T1^8*T2^9 + 18*T1^9*T2^9 - 34*T1^10*T2^9 + 
     11*T1^11*T2^9 - 84*T1^12*T2^9 - 9*T1^13*T2^9 - 8*T1^14*T2^9 - 
     18*T1^15*T2^9 - 6*T1^16*T2^9 + 12*T1^2*T2^10 + 6*T1^3*T2^10 + 
     22*T1^4*T2^10 + 11*T1^5*T2^10 + 63*T1^6*T2^10 + 11*T1^7*T2^10 + 
     14*T1^8*T2^10 - 34*T1^9*T2^10 + 14*T1^10*T2^10 + 11*T1^11*T2^10 + 
     63*T1^12*T2^10 + 11*T1^13*T2^10 + 22*T1^14*T2^10 + 6*T1^15*T2^10 + 
     12*T1^16*T2^10 - 14*T1^3*T2^11 - 33*T1^5*T2^11 + 11*T1^6*T2^11 - 
     84*T1^7*T2^11 + 4*T1^8*T2^11 + 11*T1^9*T2^11 + 11*T1^10*T2^11 + 
     4*T1^11*T2^11 - 84*T1^12*T2^11 + 11*T1^13*T2^11 - 33*T1^14*T2^11 - 
     14*T1^16*T2^11 + 14*T1^4*T2^12 + 22*T1^6*T2^12 - 9*T1^7*T2^12 + 
     103*T1^8*T2^12 - 84*T1^9*T2^12 + 63*T1^10*T2^12 - 84*T1^11*T2^12 + 
     103*T1^12*T2^12 - 9*T1^13*T2^12 + 22*T1^14*T2^12 + 14*T1^16*T2^12 - 
     14*T1^5*T2^13 + 6*T1^6*T2^13 - 8*T1^7*T2^13 - 32*T1^8*T2^13 - 
     9*T1^9*T2^13 + 11*T1^10*T2^13 + 11*T1^11*T2^13 - 9*T1^12*T2^13 - 
     32*T1^13*T2^13 - 8*T1^14*T2^13 + 6*T1^15*T2^13 - 14*T1^16*T2^13 + 
     12*T1^6*T2^14 - 18*T1^7*T2^14 + 29*T1^8*T2^14 - 8*T1^9*T2^14 + 
     22*T1^10*T2^14 - 33*T1^11*T2^14 + 22*T1^12*T2^14 - 8*T1^13*T2^14 + 
     29*T1^14*T2^14 - 18*T1^15*T2^14 + 12*T1^16*T2^14 - 6*T1^7*T2^15 + 
     12*T1^8*T2^15 - 18*T1^9*T2^15 + 6*T1^10*T2^15 + 6*T1^13*T2^15 - 
     18*T1^14*T2^15 + 12*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)/
    (T1^8*T2^8)}, 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, 
   -((1 - 2*T1 + 2*T1^2 - T1^3 + 2*T1^4 - 2*T1^5 + T1^6 - 2*T2 + 2*T1*T2 + 
      T1^2*T2 - 3*T1^3*T2 - 3*T1^4*T2 + T1^5*T2 + 2*T1^6*T2 - 2*T1^7*T2 + 
      2*T2^2 + T1*T2^2 - 9*T1^2*T2^2 + 9*T1^3*T2^2 + T1^4*T2^2 + 
      9*T1^5*T2^2 - 9*T1^6*T2^2 + T1^7*T2^2 + 2*T1^8*T2^2 - T2^3 - 
      3*T1*T2^3 + 9*T1^2*T2^3 + 2*T1^3*T2^3 - 10*T1^4*T2^3 - 10*T1^5*T2^3 + 
      2*T1^6*T2^3 + 9*T1^7*T2^3 - 3*T1^8*T2^3 - T1^9*T2^3 + 2*T2^4 - 
      3*T1*T2^4 + T1^2*T2^4 - 10*T1^3*T2^4 - 5*T1^4*T2^4 + 29*T1^5*T2^4 - 
      5*T1^6*T2^4 - 10*T1^7*T2^4 + T1^8*T2^4 - 3*T1^9*T2^4 + 2*T1^10*T2^4 - 
      2*T2^5 + T1*T2^5 + 9*T1^2*T2^5 - 10*T1^3*T2^5 + 29*T1^4*T2^5 - 
      22*T1^5*T2^5 - 22*T1^6*T2^5 + 29*T1^7*T2^5 - 10*T1^8*T2^5 + 
      9*T1^9*T2^5 + T1^10*T2^5 - 2*T1^11*T2^5 + T2^6 + 2*T1*T2^6 - 
      9*T1^2*T2^6 + 2*T1^3*T2^6 - 5*T1^4*T2^6 - 22*T1^5*T2^6 + 48*T1^6*T2^6 - 
      22*T1^7*T2^6 - 5*T1^8*T2^6 + 2*T1^9*T2^6 - 9*T1^10*T2^6 + 
      2*T1^11*T2^6 + T1^12*T2^6 - 2*T1*T2^7 + T1^2*T2^7 + 9*T1^3*T2^7 - 
      10*T1^4*T2^7 + 29*T1^5*T2^7 - 22*T1^6*T2^7 - 22*T1^7*T2^7 + 
      29*T1^8*T2^7 - 10*T1^9*T2^7 + 9*T1^10*T2^7 + T1^11*T2^7 - 
      2*T1^12*T2^7 + 2*T1^2*T2^8 - 3*T1^3*T2^8 + T1^4*T2^8 - 10*T1^5*T2^8 - 
      5*T1^6*T2^8 + 29*T1^7*T2^8 - 5*T1^8*T2^8 - 10*T1^9*T2^8 + T1^10*T2^8 - 
      3*T1^11*T2^8 + 2*T1^12*T2^8 - T1^3*T2^9 - 3*T1^4*T2^9 + 9*T1^5*T2^9 + 
      2*T1^6*T2^9 - 10*T1^7*T2^9 - 10*T1^8*T2^9 + 2*T1^9*T2^9 + 
      9*T1^10*T2^9 - 3*T1^11*T2^9 - T1^12*T2^9 + 2*T1^4*T2^10 + T1^5*T2^10 - 
      9*T1^6*T2^10 + 9*T1^7*T2^10 + T1^8*T2^10 + 9*T1^9*T2^10 - 
      9*T1^10*T2^10 + T1^11*T2^10 + 2*T1^12*T2^10 - 2*T1^5*T2^11 + 
      2*T1^6*T2^11 + T1^7*T2^11 - 3*T1^8*T2^11 - 3*T1^9*T2^11 + T1^10*T2^11 + 
      2*T1^11*T2^11 - 2*T1^12*T2^11 + T1^6*T2^12 - 2*T1^7*T2^12 + 
      2*T1^8*T2^12 - T1^9*T2^12 + 2*T1^10*T2^12 - 2*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[10, 49] -> 
  {(3 - 8*T + 12*T^2 - 13*T^3 + 12*T^4 - 8*T^5 + 3*T^6)/T^3, 
   -((84 - 220*T1 + 328*T1^2 - 354*T1^3 + 328*T1^4 - 220*T1^5 + 84*T1^6 - 
      220*T2 + 360*T1*T2 - 287*T1^2*T2 + 70*T1^3*T2 + 70*T1^4*T2 - 
      287*T1^5*T2 + 360*T1^6*T2 - 220*T1^7*T2 + 328*T2^2 - 287*T1*T2^2 + 
      54*T1^2*T2^2 + 114*T1^3*T2^2 - 4*T1^4*T2^2 + 114*T1^5*T2^2 + 
      54*T1^6*T2^2 - 287*T1^7*T2^2 + 328*T1^8*T2^2 - 354*T2^3 + 70*T1*T2^3 + 
      114*T1^2*T2^3 - 108*T1^3*T2^3 - 111*T1^4*T2^3 - 111*T1^5*T2^3 - 
      108*T1^6*T2^3 + 114*T1^7*T2^3 + 70*T1^8*T2^3 - 354*T1^9*T2^3 + 
      328*T2^4 + 70*T1*T2^4 - 4*T1^2*T2^4 - 111*T1^3*T2^4 + 300*T1^4*T2^4 - 
      14*T1^5*T2^4 + 300*T1^6*T2^4 - 111*T1^7*T2^4 - 4*T1^8*T2^4 + 
      70*T1^9*T2^4 + 328*T1^10*T2^4 - 220*T2^5 - 287*T1*T2^5 + 
      114*T1^2*T2^5 - 111*T1^3*T2^5 - 14*T1^4*T2^5 - 196*T1^5*T2^5 - 
      196*T1^6*T2^5 - 14*T1^7*T2^5 - 111*T1^8*T2^5 + 114*T1^9*T2^5 - 
      287*T1^10*T2^5 - 220*T1^11*T2^5 + 84*T2^6 + 360*T1*T2^6 + 
      54*T1^2*T2^6 - 108*T1^3*T2^6 + 300*T1^4*T2^6 - 196*T1^5*T2^6 + 
      540*T1^6*T2^6 - 196*T1^7*T2^6 + 300*T1^8*T2^6 - 108*T1^9*T2^6 + 
      54*T1^10*T2^6 + 360*T1^11*T2^6 + 84*T1^12*T2^6 - 220*T1*T2^7 - 
      287*T1^2*T2^7 + 114*T1^3*T2^7 - 111*T1^4*T2^7 - 14*T1^5*T2^7 - 
      196*T1^6*T2^7 - 196*T1^7*T2^7 - 14*T1^8*T2^7 - 111*T1^9*T2^7 + 
      114*T1^10*T2^7 - 287*T1^11*T2^7 - 220*T1^12*T2^7 + 328*T1^2*T2^8 + 
      70*T1^3*T2^8 - 4*T1^4*T2^8 - 111*T1^5*T2^8 + 300*T1^6*T2^8 - 
      14*T1^7*T2^8 + 300*T1^8*T2^8 - 111*T1^9*T2^8 - 4*T1^10*T2^8 + 
      70*T1^11*T2^8 + 328*T1^12*T2^8 - 354*T1^3*T2^9 + 70*T1^4*T2^9 + 
      114*T1^5*T2^9 - 108*T1^6*T2^9 - 111*T1^7*T2^9 - 111*T1^8*T2^9 - 
      108*T1^9*T2^9 + 114*T1^10*T2^9 + 70*T1^11*T2^9 - 354*T1^12*T2^9 + 
      328*T1^4*T2^10 - 287*T1^5*T2^10 + 54*T1^6*T2^10 + 114*T1^7*T2^10 - 
      4*T1^8*T2^10 + 114*T1^9*T2^10 + 54*T1^10*T2^10 - 287*T1^11*T2^10 + 
      328*T1^12*T2^10 - 220*T1^5*T2^11 + 360*T1^6*T2^11 - 287*T1^7*T2^11 + 
      70*T1^8*T2^11 + 70*T1^9*T2^11 - 287*T1^10*T2^11 + 360*T1^11*T2^11 - 
      220*T1^12*T2^11 + 84*T1^6*T2^12 - 220*T1^7*T2^12 + 328*T1^8*T2^12 - 
      354*T1^9*T2^12 + 328*T1^10*T2^12 - 220*T1^11*T2^12 + 84*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[10, 50] -> 
  {-((2 - 7*T + 11*T^2 - 13*T^3 + 11*T^4 - 7*T^5 + 2*T^6)/T^3), 
   -((17 - 59*T1 + 92*T1^2 - 109*T1^3 + 92*T1^4 - 59*T1^5 + 17*T1^6 - 59*T2 + 
      146*T1*T2 - 115*T1^2*T2 + 59*T1^3*T2 + 59*T1^4*T2 - 115*T1^5*T2 + 
      146*T1^6*T2 - 59*T1^7*T2 + 92*T2^2 - 115*T1*T2^2 - 129*T1^2*T2^2 + 
      234*T1^3*T2^2 - 355*T1^4*T2^2 + 234*T1^5*T2^2 - 129*T1^6*T2^2 - 
      115*T1^7*T2^2 + 92*T1^8*T2^2 - 109*T2^3 + 59*T1*T2^3 + 234*T1^2*T2^3 - 
      124*T1^3*T2^3 + 131*T1^4*T2^3 + 131*T1^5*T2^3 - 124*T1^6*T2^3 + 
      234*T1^7*T2^3 + 59*T1^8*T2^3 - 109*T1^9*T2^3 + 92*T2^4 + 59*T1*T2^4 - 
      355*T1^2*T2^4 + 131*T1^3*T2^4 - 230*T1^4*T2^4 + 26*T1^5*T2^4 - 
      230*T1^6*T2^4 + 131*T1^7*T2^4 - 355*T1^8*T2^4 + 59*T1^9*T2^4 + 
      92*T1^10*T2^4 - 59*T2^5 - 115*T1*T2^5 + 234*T1^2*T2^5 + 131*T1^3*T2^5 + 
      26*T1^4*T2^5 + 144*T1^5*T2^5 + 144*T1^6*T2^5 + 26*T1^7*T2^5 + 
      131*T1^8*T2^5 + 234*T1^9*T2^5 - 115*T1^10*T2^5 - 59*T1^11*T2^5 + 
      17*T2^6 + 146*T1*T2^6 - 129*T1^2*T2^6 - 124*T1^3*T2^6 - 230*T1^4*T2^6 + 
      144*T1^5*T2^6 - 420*T1^6*T2^6 + 144*T1^7*T2^6 - 230*T1^8*T2^6 - 
      124*T1^9*T2^6 - 129*T1^10*T2^6 + 146*T1^11*T2^6 + 17*T1^12*T2^6 - 
      59*T1*T2^7 - 115*T1^2*T2^7 + 234*T1^3*T2^7 + 131*T1^4*T2^7 + 
      26*T1^5*T2^7 + 144*T1^6*T2^7 + 144*T1^7*T2^7 + 26*T1^8*T2^7 + 
      131*T1^9*T2^7 + 234*T1^10*T2^7 - 115*T1^11*T2^7 - 59*T1^12*T2^7 + 
      92*T1^2*T2^8 + 59*T1^3*T2^8 - 355*T1^4*T2^8 + 131*T1^5*T2^8 - 
      230*T1^6*T2^8 + 26*T1^7*T2^8 - 230*T1^8*T2^8 + 131*T1^9*T2^8 - 
      355*T1^10*T2^8 + 59*T1^11*T2^8 + 92*T1^12*T2^8 - 109*T1^3*T2^9 + 
      59*T1^4*T2^9 + 234*T1^5*T2^9 - 124*T1^6*T2^9 + 131*T1^7*T2^9 + 
      131*T1^8*T2^9 - 124*T1^9*T2^9 + 234*T1^10*T2^9 + 59*T1^11*T2^9 - 
      109*T1^12*T2^9 + 92*T1^4*T2^10 - 115*T1^5*T2^10 - 129*T1^6*T2^10 + 
      234*T1^7*T2^10 - 355*T1^8*T2^10 + 234*T1^9*T2^10 - 129*T1^10*T2^10 - 
      115*T1^11*T2^10 + 92*T1^12*T2^10 - 59*T1^5*T2^11 + 146*T1^6*T2^11 - 
      115*T1^7*T2^11 + 59*T1^8*T2^11 + 59*T1^9*T2^11 - 115*T1^10*T2^11 + 
      146*T1^11*T2^11 - 59*T1^12*T2^11 + 17*T1^6*T2^12 - 59*T1^7*T2^12 + 
      92*T1^8*T2^12 - 109*T1^9*T2^12 + 92*T1^10*T2^12 - 59*T1^11*T2^12 + 
      17*T1^12*T2^12)/(T1^6*T2^6))}, Knot[10, 51] -> 
  {(2 - 7*T + 15*T^2 - 19*T^3 + 15*T^4 - 7*T^5 + 2*T^6)/T^3, 
   (9 - 31*T1 + 66*T1^2 - 83*T1^3 + 66*T1^4 - 31*T1^5 + 9*T1^6 - 31*T2 + 
     76*T1*T2 - 121*T1^2*T2 + 59*T1^3*T2 + 59*T1^4*T2 - 121*T1^5*T2 + 
     76*T1^6*T2 - 31*T1^7*T2 + 66*T2^2 - 121*T1*T2^2 + 174*T1^2*T2^2 - 
     19*T1^3*T2^2 - 74*T1^4*T2^2 - 19*T1^5*T2^2 + 174*T1^6*T2^2 - 
     121*T1^7*T2^2 + 66*T1^8*T2^2 - 83*T2^3 + 59*T1*T2^3 - 19*T1^2*T2^3 - 
     278*T1^3*T2^3 + 169*T1^4*T2^3 + 169*T1^5*T2^3 - 278*T1^6*T2^3 - 
     19*T1^7*T2^3 + 59*T1^8*T2^3 - 83*T1^9*T2^3 + 66*T2^4 + 59*T1*T2^4 - 
     74*T1^2*T2^4 + 169*T1^3*T2^4 + 467*T1^4*T2^4 - 839*T1^5*T2^4 + 
     467*T1^6*T2^4 + 169*T1^7*T2^4 - 74*T1^8*T2^4 + 59*T1^9*T2^4 + 
     66*T1^10*T2^4 - 31*T2^5 - 121*T1*T2^5 - 19*T1^2*T2^5 + 169*T1^3*T2^5 - 
     839*T1^4*T2^5 + 474*T1^5*T2^5 + 474*T1^6*T2^5 - 839*T1^7*T2^5 + 
     169*T1^8*T2^5 - 19*T1^9*T2^5 - 121*T1^10*T2^5 - 31*T1^11*T2^5 + 9*T2^6 + 
     76*T1*T2^6 + 174*T1^2*T2^6 - 278*T1^3*T2^6 + 467*T1^4*T2^6 + 
     474*T1^5*T2^6 - 1032*T1^6*T2^6 + 474*T1^7*T2^6 + 467*T1^8*T2^6 - 
     278*T1^9*T2^6 + 174*T1^10*T2^6 + 76*T1^11*T2^6 + 9*T1^12*T2^6 - 
     31*T1*T2^7 - 121*T1^2*T2^7 - 19*T1^3*T2^7 + 169*T1^4*T2^7 - 
     839*T1^5*T2^7 + 474*T1^6*T2^7 + 474*T1^7*T2^7 - 839*T1^8*T2^7 + 
     169*T1^9*T2^7 - 19*T1^10*T2^7 - 121*T1^11*T2^7 - 31*T1^12*T2^7 + 
     66*T1^2*T2^8 + 59*T1^3*T2^8 - 74*T1^4*T2^8 + 169*T1^5*T2^8 + 
     467*T1^6*T2^8 - 839*T1^7*T2^8 + 467*T1^8*T2^8 + 169*T1^9*T2^8 - 
     74*T1^10*T2^8 + 59*T1^11*T2^8 + 66*T1^12*T2^8 - 83*T1^3*T2^9 + 
     59*T1^4*T2^9 - 19*T1^5*T2^9 - 278*T1^6*T2^9 + 169*T1^7*T2^9 + 
     169*T1^8*T2^9 - 278*T1^9*T2^9 - 19*T1^10*T2^9 + 59*T1^11*T2^9 - 
     83*T1^12*T2^9 + 66*T1^4*T2^10 - 121*T1^5*T2^10 + 174*T1^6*T2^10 - 
     19*T1^7*T2^10 - 74*T1^8*T2^10 - 19*T1^9*T2^10 + 174*T1^10*T2^10 - 
     121*T1^11*T2^10 + 66*T1^12*T2^10 - 31*T1^5*T2^11 + 76*T1^6*T2^11 - 
     121*T1^7*T2^11 + 59*T1^8*T2^11 + 59*T1^9*T2^11 - 121*T1^10*T2^11 + 
     76*T1^11*T2^11 - 31*T1^12*T2^11 + 9*T1^6*T2^12 - 31*T1^7*T2^12 + 
     66*T1^8*T2^12 - 83*T1^9*T2^12 + 66*T1^10*T2^12 - 31*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, Knot[10, 52] -> 
  {(2 - 7*T + 13*T^2 - 15*T^3 + 13*T^4 - 7*T^5 + 2*T^6)/T^3, 
   (7 - 25*T1 + 46*T1^2 - 53*T1^3 + 46*T1^4 - 25*T1^5 + 7*T1^6 - 25*T2 + 
     64*T1*T2 - 75*T1^2*T2 + 25*T1^3*T2 + 25*T1^4*T2 - 75*T1^5*T2 + 
     64*T1^6*T2 - 25*T1^7*T2 + 46*T2^2 - 75*T1*T2^2 + 18*T1^2*T2^2 + 
     113*T1^3*T2^2 - 132*T1^4*T2^2 + 113*T1^5*T2^2 + 18*T1^6*T2^2 - 
     75*T1^7*T2^2 + 46*T1^8*T2^2 - 53*T2^3 + 25*T1*T2^3 + 113*T1^2*T2^3 - 
     226*T1^3*T2^3 + 71*T1^4*T2^3 + 71*T1^5*T2^3 - 226*T1^6*T2^3 + 
     113*T1^7*T2^3 + 25*T1^8*T2^3 - 53*T1^9*T2^3 + 46*T2^4 + 25*T1*T2^4 - 
     132*T1^2*T2^4 + 71*T1^3*T2^4 + 252*T1^4*T2^4 - 338*T1^5*T2^4 + 
     252*T1^6*T2^4 + 71*T1^7*T2^4 - 132*T1^8*T2^4 + 25*T1^9*T2^4 + 
     46*T1^10*T2^4 - 25*T2^5 - 75*T1*T2^5 + 113*T1^2*T2^5 + 71*T1^3*T2^5 - 
     338*T1^4*T2^5 + 158*T1^5*T2^5 + 158*T1^6*T2^5 - 338*T1^7*T2^5 + 
     71*T1^8*T2^5 + 113*T1^9*T2^5 - 75*T1^10*T2^5 - 25*T1^11*T2^5 + 7*T2^6 + 
     64*T1*T2^6 + 18*T1^2*T2^6 - 226*T1^3*T2^6 + 252*T1^4*T2^6 + 
     158*T1^5*T2^6 - 360*T1^6*T2^6 + 158*T1^7*T2^6 + 252*T1^8*T2^6 - 
     226*T1^9*T2^6 + 18*T1^10*T2^6 + 64*T1^11*T2^6 + 7*T1^12*T2^6 - 
     25*T1*T2^7 - 75*T1^2*T2^7 + 113*T1^3*T2^7 + 71*T1^4*T2^7 - 
     338*T1^5*T2^7 + 158*T1^6*T2^7 + 158*T1^7*T2^7 - 338*T1^8*T2^7 + 
     71*T1^9*T2^7 + 113*T1^10*T2^7 - 75*T1^11*T2^7 - 25*T1^12*T2^7 + 
     46*T1^2*T2^8 + 25*T1^3*T2^8 - 132*T1^4*T2^8 + 71*T1^5*T2^8 + 
     252*T1^6*T2^8 - 338*T1^7*T2^8 + 252*T1^8*T2^8 + 71*T1^9*T2^8 - 
     132*T1^10*T2^8 + 25*T1^11*T2^8 + 46*T1^12*T2^8 - 53*T1^3*T2^9 + 
     25*T1^4*T2^9 + 113*T1^5*T2^9 - 226*T1^6*T2^9 + 71*T1^7*T2^9 + 
     71*T1^8*T2^9 - 226*T1^9*T2^9 + 113*T1^10*T2^9 + 25*T1^11*T2^9 - 
     53*T1^12*T2^9 + 46*T1^4*T2^10 - 75*T1^5*T2^10 + 18*T1^6*T2^10 + 
     113*T1^7*T2^10 - 132*T1^8*T2^10 + 113*T1^9*T2^10 + 18*T1^10*T2^10 - 
     75*T1^11*T2^10 + 46*T1^12*T2^10 - 25*T1^5*T2^11 + 64*T1^6*T2^11 - 
     75*T1^7*T2^11 + 25*T1^8*T2^11 + 25*T1^9*T2^11 - 75*T1^10*T2^11 + 
     64*T1^11*T2^11 - 25*T1^12*T2^11 + 7*T1^6*T2^12 - 25*T1^7*T2^12 + 
     46*T1^8*T2^12 - 53*T1^9*T2^12 + 46*T1^10*T2^12 - 25*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, Knot[10, 53] -> 
  {(6 - 18*T + 25*T^2 - 18*T^3 + 6*T^4)/T^2, 
   -((483 - 1416*T1 + 1959*T1^2 - 1416*T1^3 + 483*T1^4 - 1416*T2 + 
      2758*T1*T2 - 1608*T1^2*T2 - 1608*T1^3*T2 + 2758*T1^4*T2 - 
      1416*T1^5*T2 + 1959*T2^2 - 1608*T1*T2^2 - 2497*T1^2*T2^2 + 
      5757*T1^3*T2^2 - 2497*T1^4*T2^2 - 1608*T1^5*T2^2 + 1959*T1^6*T2^2 - 
      1416*T2^3 - 1608*T1*T2^3 + 5757*T1^2*T2^3 - 4000*T1^3*T2^3 - 
      4000*T1^4*T2^3 + 5757*T1^5*T2^3 - 1608*T1^6*T2^3 - 1416*T1^7*T2^3 + 
      483*T2^4 + 2758*T1*T2^4 - 2497*T1^2*T2^4 - 4000*T1^3*T2^4 + 
      9528*T1^4*T2^4 - 4000*T1^5*T2^4 - 2497*T1^6*T2^4 + 2758*T1^7*T2^4 + 
      483*T1^8*T2^4 - 1416*T1*T2^5 - 1608*T1^2*T2^5 + 5757*T1^3*T2^5 - 
      4000*T1^4*T2^5 - 4000*T1^5*T2^5 + 5757*T1^6*T2^5 - 1608*T1^7*T2^5 - 
      1416*T1^8*T2^5 + 1959*T1^2*T2^6 - 1608*T1^3*T2^6 - 2497*T1^4*T2^6 + 
      5757*T1^5*T2^6 - 2497*T1^6*T2^6 - 1608*T1^7*T2^6 + 1959*T1^8*T2^6 - 
      1416*T1^3*T2^7 + 2758*T1^4*T2^7 - 1608*T1^5*T2^7 - 1608*T1^6*T2^7 + 
      2758*T1^7*T2^7 - 1416*T1^8*T2^7 + 483*T1^4*T2^8 - 1416*T1^5*T2^8 + 
      1959*T1^6*T2^8 - 1416*T1^7*T2^8 + 483*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[10, 54] -> {(2 - 6*T + 10*T^2 - 11*T^3 + 10*T^4 - 6*T^5 + 2*T^6)/T^3, 
   (7 - 21*T1 + 34*T1^2 - 37*T1^3 + 34*T1^4 - 21*T1^5 + 7*T1^6 - 21*T2 + 
     42*T1*T2 - 39*T1^2*T2 + 9*T1^3*T2 + 9*T1^4*T2 - 39*T1^5*T2 + 
     42*T1^6*T2 - 21*T1^7*T2 + 34*T2^2 - 39*T1*T2^2 - T1^2*T2^2 + 
     57*T1^3*T2^2 - 51*T1^4*T2^2 + 57*T1^5*T2^2 - T1^6*T2^2 - 39*T1^7*T2^2 + 
     34*T1^8*T2^2 - 37*T2^3 + 9*T1*T2^3 + 57*T1^2*T2^3 - 90*T1^3*T2^3 + 
     18*T1^4*T2^3 + 18*T1^5*T2^3 - 90*T1^6*T2^3 + 57*T1^7*T2^3 + 
     9*T1^8*T2^3 - 37*T1^9*T2^3 + 34*T2^4 + 9*T1*T2^4 - 51*T1^2*T2^4 + 
     18*T1^3*T2^4 + 91*T1^4*T2^4 - 105*T1^5*T2^4 + 91*T1^6*T2^4 + 
     18*T1^7*T2^4 - 51*T1^8*T2^4 + 9*T1^9*T2^4 + 34*T1^10*T2^4 - 21*T2^5 - 
     39*T1*T2^5 + 57*T1^2*T2^5 + 18*T1^3*T2^5 - 105*T1^4*T2^5 + 
     48*T1^5*T2^5 + 48*T1^6*T2^5 - 105*T1^7*T2^5 + 18*T1^8*T2^5 + 
     57*T1^9*T2^5 - 39*T1^10*T2^5 - 21*T1^11*T2^5 + 7*T2^6 + 42*T1*T2^6 - 
     T1^2*T2^6 - 90*T1^3*T2^6 + 91*T1^4*T2^6 + 48*T1^5*T2^6 - 120*T1^6*T2^6 + 
     48*T1^7*T2^6 + 91*T1^8*T2^6 - 90*T1^9*T2^6 - T1^10*T2^6 + 
     42*T1^11*T2^6 + 7*T1^12*T2^6 - 21*T1*T2^7 - 39*T1^2*T2^7 + 
     57*T1^3*T2^7 + 18*T1^4*T2^7 - 105*T1^5*T2^7 + 48*T1^6*T2^7 + 
     48*T1^7*T2^7 - 105*T1^8*T2^7 + 18*T1^9*T2^7 + 57*T1^10*T2^7 - 
     39*T1^11*T2^7 - 21*T1^12*T2^7 + 34*T1^2*T2^8 + 9*T1^3*T2^8 - 
     51*T1^4*T2^8 + 18*T1^5*T2^8 + 91*T1^6*T2^8 - 105*T1^7*T2^8 + 
     91*T1^8*T2^8 + 18*T1^9*T2^8 - 51*T1^10*T2^8 + 9*T1^11*T2^8 + 
     34*T1^12*T2^8 - 37*T1^3*T2^9 + 9*T1^4*T2^9 + 57*T1^5*T2^9 - 
     90*T1^6*T2^9 + 18*T1^7*T2^9 + 18*T1^8*T2^9 - 90*T1^9*T2^9 + 
     57*T1^10*T2^9 + 9*T1^11*T2^9 - 37*T1^12*T2^9 + 34*T1^4*T2^10 - 
     39*T1^5*T2^10 - T1^6*T2^10 + 57*T1^7*T2^10 - 51*T1^8*T2^10 + 
     57*T1^9*T2^10 - T1^10*T2^10 - 39*T1^11*T2^10 + 34*T1^12*T2^10 - 
     21*T1^5*T2^11 + 42*T1^6*T2^11 - 39*T1^7*T2^11 + 9*T1^8*T2^11 + 
     9*T1^9*T2^11 - 39*T1^10*T2^11 + 42*T1^11*T2^11 - 21*T1^12*T2^11 + 
     7*T1^6*T2^12 - 21*T1^7*T2^12 + 34*T1^8*T2^12 - 37*T1^9*T2^12 + 
     34*T1^10*T2^12 - 21*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[10, 55] -> {(5 - 15*T + 21*T^2 - 15*T^3 + 5*T^4)/T^2, 
   -((290 - 850*T1 + 1186*T1^2 - 850*T1^3 + 290*T1^4 - 850*T2 + 1654*T1*T2 - 
      993*T1^2*T2 - 993*T1^3*T2 + 1654*T1^4*T2 - 850*T1^5*T2 + 1186*T2^2 - 
      993*T1*T2^2 - 1398*T1^2*T2^2 + 3456*T1^3*T2^2 - 1398*T1^4*T2^2 - 
      993*T1^5*T2^2 + 1186*T1^6*T2^2 - 850*T2^3 - 993*T1*T2^3 + 
      3456*T1^2*T2^3 - 2522*T1^3*T2^3 - 2522*T1^4*T2^3 + 3456*T1^5*T2^3 - 
      993*T1^6*T2^3 - 850*T1^7*T2^3 + 290*T2^4 + 1654*T1*T2^4 - 
      1398*T1^2*T2^4 - 2522*T1^3*T2^4 + 6120*T1^4*T2^4 - 2522*T1^5*T2^4 - 
      1398*T1^6*T2^4 + 1654*T1^7*T2^4 + 290*T1^8*T2^4 - 850*T1*T2^5 - 
      993*T1^2*T2^5 + 3456*T1^3*T2^5 - 2522*T1^4*T2^5 - 2522*T1^5*T2^5 + 
      3456*T1^6*T2^5 - 993*T1^7*T2^5 - 850*T1^8*T2^5 + 1186*T1^2*T2^6 - 
      993*T1^3*T2^6 - 1398*T1^4*T2^6 + 3456*T1^5*T2^6 - 1398*T1^6*T2^6 - 
      993*T1^7*T2^6 + 1186*T1^8*T2^6 - 850*T1^3*T2^7 + 1654*T1^4*T2^7 - 
      993*T1^5*T2^7 - 993*T1^6*T2^7 + 1654*T1^7*T2^7 - 850*T1^8*T2^7 + 
      290*T1^4*T2^8 - 850*T1^5*T2^8 + 1186*T1^6*T2^8 - 850*T1^7*T2^8 + 
      290*T1^8*T2^8)/(T1^4*T2^4))}, Knot[10, 56] -> 
  {-((2 - 8*T + 14*T^2 - 17*T^3 + 14*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((17 - 67*T1 + 116*T1^2 - 141*T1^3 + 116*T1^4 - 67*T1^5 + 17*T1^6 - 
      67*T2 + 198*T1*T2 - 195*T1^2*T2 + 99*T1^3*T2 + 99*T1^4*T2 - 
      195*T1^5*T2 + 198*T1^6*T2 - 67*T1^7*T2 + 116*T2^2 - 195*T1*T2^2 - 
      138*T1^2*T2^2 + 418*T1^3*T2^2 - 648*T1^4*T2^2 + 418*T1^5*T2^2 - 
      138*T1^6*T2^2 - 195*T1^7*T2^2 + 116*T1^8*T2^2 - 141*T2^3 + 99*T1*T2^3 + 
      418*T1^2*T2^3 - 404*T1^3*T2^3 + 304*T1^4*T2^3 + 304*T1^5*T2^3 - 
      404*T1^6*T2^3 + 418*T1^7*T2^3 + 99*T1^8*T2^3 - 141*T1^9*T2^3 + 
      116*T2^4 + 99*T1*T2^4 - 648*T1^2*T2^4 + 304*T1^3*T2^4 - 187*T1^4*T2^4 - 
      281*T1^5*T2^4 - 187*T1^6*T2^4 + 304*T1^7*T2^4 - 648*T1^8*T2^4 + 
      99*T1^9*T2^4 + 116*T1^10*T2^4 - 67*T2^5 - 195*T1*T2^5 + 418*T1^2*T2^5 + 
      304*T1^3*T2^5 - 281*T1^4*T2^5 + 420*T1^5*T2^5 + 420*T1^6*T2^5 - 
      281*T1^7*T2^5 + 304*T1^8*T2^5 + 418*T1^9*T2^5 - 195*T1^10*T2^5 - 
      67*T1^11*T2^5 + 17*T2^6 + 198*T1*T2^6 - 138*T1^2*T2^6 - 404*T1^3*T2^6 - 
      187*T1^4*T2^6 + 420*T1^5*T2^6 - 1116*T1^6*T2^6 + 420*T1^7*T2^6 - 
      187*T1^8*T2^6 - 404*T1^9*T2^6 - 138*T1^10*T2^6 + 198*T1^11*T2^6 + 
      17*T1^12*T2^6 - 67*T1*T2^7 - 195*T1^2*T2^7 + 418*T1^3*T2^7 + 
      304*T1^4*T2^7 - 281*T1^5*T2^7 + 420*T1^6*T2^7 + 420*T1^7*T2^7 - 
      281*T1^8*T2^7 + 304*T1^9*T2^7 + 418*T1^10*T2^7 - 195*T1^11*T2^7 - 
      67*T1^12*T2^7 + 116*T1^2*T2^8 + 99*T1^3*T2^8 - 648*T1^4*T2^8 + 
      304*T1^5*T2^8 - 187*T1^6*T2^8 - 281*T1^7*T2^8 - 187*T1^8*T2^8 + 
      304*T1^9*T2^8 - 648*T1^10*T2^8 + 99*T1^11*T2^8 + 116*T1^12*T2^8 - 
      141*T1^3*T2^9 + 99*T1^4*T2^9 + 418*T1^5*T2^9 - 404*T1^6*T2^9 + 
      304*T1^7*T2^9 + 304*T1^8*T2^9 - 404*T1^9*T2^9 + 418*T1^10*T2^9 + 
      99*T1^11*T2^9 - 141*T1^12*T2^9 + 116*T1^4*T2^10 - 195*T1^5*T2^10 - 
      138*T1^6*T2^10 + 418*T1^7*T2^10 - 648*T1^8*T2^10 + 418*T1^9*T2^10 - 
      138*T1^10*T2^10 - 195*T1^11*T2^10 + 116*T1^12*T2^10 - 67*T1^5*T2^11 + 
      198*T1^6*T2^11 - 195*T1^7*T2^11 + 99*T1^8*T2^11 + 99*T1^9*T2^11 - 
      195*T1^10*T2^11 + 198*T1^11*T2^11 - 67*T1^12*T2^11 + 17*T1^6*T2^12 - 
      67*T1^7*T2^12 + 116*T1^8*T2^12 - 141*T1^9*T2^12 + 116*T1^10*T2^12 - 
      67*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[10, 57] -> {(2 - 8*T + 18*T^2 - 23*T^3 + 18*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (9 - 35*T1 + 78*T1^2 - 99*T1^3 + 78*T1^4 - 35*T1^5 + 9*T1^6 - 35*T2 + 
     102*T1*T2 - 169*T1^2*T2 + 83*T1^3*T2 + 83*T1^4*T2 - 169*T1^5*T2 + 
     102*T1^6*T2 - 35*T1^7*T2 + 78*T2^2 - 169*T1*T2^2 + 220*T1^2*T2^2 + 
     42*T1^3*T2^2 - 188*T1^4*T2^2 + 42*T1^5*T2^2 + 220*T1^6*T2^2 - 
     169*T1^7*T2^2 + 78*T1^8*T2^2 - 99*T2^3 + 83*T1*T2^3 + 42*T1^2*T2^3 - 
     512*T1^3*T2^3 + 282*T1^4*T2^3 + 282*T1^5*T2^3 - 512*T1^6*T2^3 + 
     42*T1^7*T2^3 + 83*T1^8*T2^3 - 99*T1^9*T2^3 + 78*T2^4 + 83*T1*T2^4 - 
     188*T1^2*T2^4 + 282*T1^3*T2^4 + 869*T1^4*T2^4 - 1467*T1^5*T2^4 + 
     869*T1^6*T2^4 + 282*T1^7*T2^4 - 188*T1^8*T2^4 + 83*T1^9*T2^4 + 
     78*T1^10*T2^4 - 35*T2^5 - 169*T1*T2^5 + 42*T1^2*T2^5 + 282*T1^3*T2^5 - 
     1467*T1^4*T2^5 + 780*T1^5*T2^5 + 780*T1^6*T2^5 - 1467*T1^7*T2^5 + 
     282*T1^8*T2^5 + 42*T1^9*T2^5 - 169*T1^10*T2^5 - 35*T1^11*T2^5 + 9*T2^6 + 
     102*T1*T2^6 + 220*T1^2*T2^6 - 512*T1^3*T2^6 + 869*T1^4*T2^6 + 
     780*T1^5*T2^6 - 1656*T1^6*T2^6 + 780*T1^7*T2^6 + 869*T1^8*T2^6 - 
     512*T1^9*T2^6 + 220*T1^10*T2^6 + 102*T1^11*T2^6 + 9*T1^12*T2^6 - 
     35*T1*T2^7 - 169*T1^2*T2^7 + 42*T1^3*T2^7 + 282*T1^4*T2^7 - 
     1467*T1^5*T2^7 + 780*T1^6*T2^7 + 780*T1^7*T2^7 - 1467*T1^8*T2^7 + 
     282*T1^9*T2^7 + 42*T1^10*T2^7 - 169*T1^11*T2^7 - 35*T1^12*T2^7 + 
     78*T1^2*T2^8 + 83*T1^3*T2^8 - 188*T1^4*T2^8 + 282*T1^5*T2^8 + 
     869*T1^6*T2^8 - 1467*T1^7*T2^8 + 869*T1^8*T2^8 + 282*T1^9*T2^8 - 
     188*T1^10*T2^8 + 83*T1^11*T2^8 + 78*T1^12*T2^8 - 99*T1^3*T2^9 + 
     83*T1^4*T2^9 + 42*T1^5*T2^9 - 512*T1^6*T2^9 + 282*T1^7*T2^9 + 
     282*T1^8*T2^9 - 512*T1^9*T2^9 + 42*T1^10*T2^9 + 83*T1^11*T2^9 - 
     99*T1^12*T2^9 + 78*T1^4*T2^10 - 169*T1^5*T2^10 + 220*T1^6*T2^10 + 
     42*T1^7*T2^10 - 188*T1^8*T2^10 + 42*T1^9*T2^10 + 220*T1^10*T2^10 - 
     169*T1^11*T2^10 + 78*T1^12*T2^10 - 35*T1^5*T2^11 + 102*T1^6*T2^11 - 
     169*T1^7*T2^11 + 83*T1^8*T2^11 + 83*T1^9*T2^11 - 169*T1^10*T2^11 + 
     102*T1^11*T2^11 - 35*T1^12*T2^11 + 9*T1^6*T2^12 - 35*T1^7*T2^12 + 
     78*T1^8*T2^12 - 99*T1^9*T2^12 + 78*T1^10*T2^12 - 35*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, Knot[10, 58] -> 
  {((1 - 3*T + T^2)*(3 - 7*T + 3*T^2))/T^2, 
   -((3 - 20*T1 + 37*T1^2 - 20*T1^3 + 3*T1^4 - 20*T2 + 108*T1*T2 - 
      105*T1^2*T2 - 105*T1^3*T2 + 108*T1^4*T2 - 20*T1^5*T2 + 37*T2^2 - 
      105*T1*T2^2 - 337*T1^2*T2^2 + 963*T1^3*T2^2 - 337*T1^4*T2^2 - 
      105*T1^5*T2^2 + 37*T1^6*T2^2 - 20*T2^3 - 105*T1*T2^3 + 963*T1^2*T2^3 - 
      1016*T1^3*T2^3 - 1016*T1^4*T2^3 + 963*T1^5*T2^3 - 105*T1^6*T2^3 - 
      20*T1^7*T2^3 + 3*T2^4 + 108*T1*T2^4 - 337*T1^2*T2^4 - 1016*T1^3*T2^4 + 
      2952*T1^4*T2^4 - 1016*T1^5*T2^4 - 337*T1^6*T2^4 + 108*T1^7*T2^4 + 
      3*T1^8*T2^4 - 20*T1*T2^5 - 105*T1^2*T2^5 + 963*T1^3*T2^5 - 
      1016*T1^4*T2^5 - 1016*T1^5*T2^5 + 963*T1^6*T2^5 - 105*T1^7*T2^5 - 
      20*T1^8*T2^5 + 37*T1^2*T2^6 - 105*T1^3*T2^6 - 337*T1^4*T2^6 + 
      963*T1^5*T2^6 - 337*T1^6*T2^6 - 105*T1^7*T2^6 + 37*T1^8*T2^6 - 
      20*T1^3*T2^7 + 108*T1^4*T2^7 - 105*T1^5*T2^7 - 105*T1^6*T2^7 + 
      108*T1^7*T2^7 - 20*T1^8*T2^7 + 3*T1^4*T2^8 - 20*T1^5*T2^8 + 
      37*T1^6*T2^8 - 20*T1^7*T2^8 + 3*T1^8*T2^8)/(T1^4*T2^4))}, 
 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)*
     (1 - 4*T1 + 5*T1^2 - 4*T1^3 + T1^4 - 4*T2 + 12*T1*T2 - 4*T1^2*T2 - 
      4*T1^3*T2 + 12*T1^4*T2 - 4*T1^5*T2 + 5*T2^2 - 4*T1*T2^2 - 
      29*T1^2*T2^2 + 35*T1^3*T2^2 - 29*T1^4*T2^2 - 4*T1^5*T2^2 + 
      5*T1^6*T2^2 - 4*T2^3 - 4*T1*T2^3 + 35*T1^2*T2^3 - 12*T1^3*T2^3 - 
      12*T1^4*T2^3 + 35*T1^5*T2^3 - 4*T1^6*T2^3 - 4*T1^7*T2^3 + T2^4 + 
      12*T1*T2^4 - 29*T1^2*T2^4 - 12*T1^3*T2^4 + 24*T1^4*T2^4 - 
      12*T1^5*T2^4 - 29*T1^6*T2^4 + 12*T1^7*T2^4 + T1^8*T2^4 - 4*T1*T2^5 - 
      4*T1^2*T2^5 + 35*T1^3*T2^5 - 12*T1^4*T2^5 - 12*T1^5*T2^5 + 
      35*T1^6*T2^5 - 4*T1^7*T2^5 - 4*T1^8*T2^5 + 5*T1^2*T2^6 - 4*T1^3*T2^6 - 
      29*T1^4*T2^6 + 35*T1^5*T2^6 - 29*T1^6*T2^6 - 4*T1^7*T2^6 + 
      5*T1^8*T2^6 - 4*T1^3*T2^7 + 12*T1^4*T2^7 - 4*T1^5*T2^7 - 4*T1^6*T2^7 + 
      12*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))/(T1^6*T2^6)}, 
 Knot[10, 60] -> {-(((1 - 3*T + T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^3), 
   -((1 - 6*T1 + 15*T1^2 - 6*T1^3 + T1^4 - 6*T2 + 30*T1*T2 - 49*T1^2*T2 - 
      49*T1^3*T2 + 30*T1^4*T2 - 6*T1^5*T2 + 15*T2^2 - 49*T1*T2^2 - 
      27*T1^2*T2^2 + 329*T1^3*T2^2 - 27*T1^4*T2^2 - 49*T1^5*T2^2 + 
      15*T1^6*T2^2 - 6*T2^3 - 49*T1*T2^3 + 329*T1^2*T2^3 - 504*T1^3*T2^3 - 
      504*T1^4*T2^3 + 329*T1^5*T2^3 - 49*T1^6*T2^3 - 6*T1^7*T2^3 + T2^4 + 
      30*T1*T2^4 - 27*T1^2*T2^4 - 504*T1^3*T2^4 + 1596*T1^4*T2^4 - 
      504*T1^5*T2^4 - 27*T1^6*T2^4 + 30*T1^7*T2^4 + T1^8*T2^4 - 6*T1*T2^5 - 
      49*T1^2*T2^5 + 329*T1^3*T2^5 - 504*T1^4*T2^5 - 504*T1^5*T2^5 + 
      329*T1^6*T2^5 - 49*T1^7*T2^5 - 6*T1^8*T2^5 + 15*T1^2*T2^6 - 
      49*T1^3*T2^6 - 27*T1^4*T2^6 + 329*T1^5*T2^6 - 27*T1^6*T2^6 - 
      49*T1^7*T2^6 + 15*T1^8*T2^6 - 6*T1^3*T2^7 + 30*T1^4*T2^7 - 
      49*T1^5*T2^7 - 49*T1^6*T2^7 + 30*T1^7*T2^7 - 6*T1^8*T2^7 + T1^4*T2^8 - 
      6*T1^5*T2^8 + 15*T1^6*T2^8 - 6*T1^7*T2^8 + T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[10, 61] -> {-(((1 - T + T^2)*(2 - 3*T + T^2 - 3*T^3 + 2*T^4))/T^3), 
   -((15 - 37*T1 + 44*T1^2 - 51*T1^3 + 44*T1^4 - 37*T1^5 + 15*T1^6 - 37*T2 + 
      54*T1*T2 - 17*T1^2*T2 + 17*T1^3*T2 + 17*T1^4*T2 - 17*T1^5*T2 + 
      54*T1^6*T2 - 37*T1^7*T2 + 44*T2^2 - 17*T1*T2^2 - 62*T1^2*T2^2 + 
      36*T1^3*T2^2 - 76*T1^4*T2^2 + 36*T1^5*T2^2 - 62*T1^6*T2^2 - 
      17*T1^7*T2^2 + 44*T1^8*T2^2 - 51*T2^3 + 17*T1*T2^3 + 36*T1^2*T2^3 + 
      28*T1^3*T2^3 + 25*T1^4*T2^3 + 25*T1^5*T2^3 + 28*T1^6*T2^3 + 
      36*T1^7*T2^3 + 17*T1^8*T2^3 - 51*T1^9*T2^3 + 44*T2^4 + 17*T1*T2^4 - 
      76*T1^2*T2^4 + 25*T1^3*T2^4 - 100*T1^4*T2^4 + 46*T1^5*T2^4 - 
      100*T1^6*T2^4 + 25*T1^7*T2^4 - 76*T1^8*T2^4 + 17*T1^9*T2^4 + 
      44*T1^10*T2^4 - 37*T2^5 - 17*T1*T2^5 + 36*T1^2*T2^5 + 25*T1^3*T2^5 + 
      46*T1^4*T2^5 + 18*T1^5*T2^5 + 18*T1^6*T2^5 + 46*T1^7*T2^5 + 
      25*T1^8*T2^5 + 36*T1^9*T2^5 - 17*T1^10*T2^5 - 37*T1^11*T2^5 + 15*T2^6 + 
      54*T1*T2^6 - 62*T1^2*T2^6 + 28*T1^3*T2^6 - 100*T1^4*T2^6 + 
      18*T1^5*T2^6 - 48*T1^6*T2^6 + 18*T1^7*T2^6 - 100*T1^8*T2^6 + 
      28*T1^9*T2^6 - 62*T1^10*T2^6 + 54*T1^11*T2^6 + 15*T1^12*T2^6 - 
      37*T1*T2^7 - 17*T1^2*T2^7 + 36*T1^3*T2^7 + 25*T1^4*T2^7 + 
      46*T1^5*T2^7 + 18*T1^6*T2^7 + 18*T1^7*T2^7 + 46*T1^8*T2^7 + 
      25*T1^9*T2^7 + 36*T1^10*T2^7 - 17*T1^11*T2^7 - 37*T1^12*T2^7 + 
      44*T1^2*T2^8 + 17*T1^3*T2^8 - 76*T1^4*T2^8 + 25*T1^5*T2^8 - 
      100*T1^6*T2^8 + 46*T1^7*T2^8 - 100*T1^8*T2^8 + 25*T1^9*T2^8 - 
      76*T1^10*T2^8 + 17*T1^11*T2^8 + 44*T1^12*T2^8 - 51*T1^3*T2^9 + 
      17*T1^4*T2^9 + 36*T1^5*T2^9 + 28*T1^6*T2^9 + 25*T1^7*T2^9 + 
      25*T1^8*T2^9 + 28*T1^9*T2^9 + 36*T1^10*T2^9 + 17*T1^11*T2^9 - 
      51*T1^12*T2^9 + 44*T1^4*T2^10 - 17*T1^5*T2^10 - 62*T1^6*T2^10 + 
      36*T1^7*T2^10 - 76*T1^8*T2^10 + 36*T1^9*T2^10 - 62*T1^10*T2^10 - 
      17*T1^11*T2^10 + 44*T1^12*T2^10 - 37*T1^5*T2^11 + 54*T1^6*T2^11 - 
      17*T1^7*T2^11 + 17*T1^8*T2^11 + 17*T1^9*T2^11 - 17*T1^10*T2^11 + 
      54*T1^11*T2^11 - 37*T1^12*T2^11 + 15*T1^6*T2^12 - 37*T1^7*T2^12 + 
      44*T1^8*T2^12 - 51*T1^9*T2^12 + 44*T1^10*T2^12 - 37*T1^11*T2^12 + 
      15*T1^12*T2^12)/(T1^6*T2^6))}, Knot[10, 62] -> 
  {((1 - T + T^2)^2*(1 - T + T^2 - T^3 + T^4))/T^4, 
   (2 - 6*T1 + 12*T1^2 - 16*T1^3 + 18*T1^4 - 16*T1^5 + 12*T1^6 - 6*T1^7 + 
     2*T1^8 - 6*T2 + 12*T1*T2 - 18*T1^2*T2 + 12*T1^3*T2 - 6*T1^4*T2 - 
     6*T1^5*T2 + 12*T1^6*T2 - 18*T1^7*T2 + 12*T1^8*T2 - 6*T1^9*T2 + 12*T2^2 - 
     18*T1*T2^2 + 29*T1^2*T2^2 - 19*T1^3*T2^2 + 26*T1^4*T2^2 - 19*T1^5*T2^2 + 
     26*T1^6*T2^2 - 19*T1^7*T2^2 + 29*T1^8*T2^2 - 18*T1^9*T2^2 + 
     12*T1^10*T2^2 - 16*T2^3 + 12*T1*T2^3 - 19*T1^2*T2^3 - 8*T1^3*T2^3 - 
     9*T1^4*T2^3 - 7*T1^5*T2^3 - 7*T1^6*T2^3 - 9*T1^7*T2^3 - 8*T1^8*T2^3 - 
     19*T1^9*T2^3 + 12*T1^10*T2^3 - 16*T1^11*T2^3 + 18*T2^4 - 6*T1*T2^4 + 
     26*T1^2*T2^4 - 9*T1^3*T2^4 + 64*T1^4*T2^4 - 48*T1^5*T2^4 + 
     76*T1^6*T2^4 - 48*T1^7*T2^4 + 64*T1^8*T2^4 - 9*T1^9*T2^4 + 
     26*T1^10*T2^4 - 6*T1^11*T2^4 + 18*T1^12*T2^4 - 16*T2^5 - 6*T1*T2^5 - 
     19*T1^2*T2^5 - 7*T1^3*T2^5 - 48*T1^4*T2^5 - 4*T1^5*T2^5 - 21*T1^6*T2^5 - 
     21*T1^7*T2^5 - 4*T1^8*T2^5 - 48*T1^9*T2^5 - 7*T1^10*T2^5 - 
     19*T1^11*T2^5 - 6*T1^12*T2^5 - 16*T1^13*T2^5 + 12*T2^6 + 12*T1*T2^6 + 
     26*T1^2*T2^6 - 7*T1^3*T2^6 + 76*T1^4*T2^6 - 21*T1^5*T2^6 + 
     70*T1^6*T2^6 - 32*T1^7*T2^6 + 70*T1^8*T2^6 - 21*T1^9*T2^6 + 
     76*T1^10*T2^6 - 7*T1^11*T2^6 + 26*T1^12*T2^6 + 12*T1^13*T2^6 + 
     12*T1^14*T2^6 - 6*T2^7 - 18*T1*T2^7 - 19*T1^2*T2^7 - 9*T1^3*T2^7 - 
     48*T1^4*T2^7 - 21*T1^5*T2^7 - 32*T1^6*T2^7 - 18*T1^7*T2^7 - 
     18*T1^8*T2^7 - 32*T1^9*T2^7 - 21*T1^10*T2^7 - 48*T1^11*T2^7 - 
     9*T1^12*T2^7 - 19*T1^13*T2^7 - 18*T1^14*T2^7 - 6*T1^15*T2^7 + 2*T2^8 + 
     12*T1*T2^8 + 29*T1^2*T2^8 - 8*T1^3*T2^8 + 64*T1^4*T2^8 - 4*T1^5*T2^8 + 
     70*T1^6*T2^8 - 18*T1^7*T2^8 + 60*T1^8*T2^8 - 18*T1^9*T2^8 + 
     70*T1^10*T2^8 - 4*T1^11*T2^8 + 64*T1^12*T2^8 - 8*T1^13*T2^8 + 
     29*T1^14*T2^8 + 12*T1^15*T2^8 + 2*T1^16*T2^8 - 6*T1*T2^9 - 
     18*T1^2*T2^9 - 19*T1^3*T2^9 - 9*T1^4*T2^9 - 48*T1^5*T2^9 - 
     21*T1^6*T2^9 - 32*T1^7*T2^9 - 18*T1^8*T2^9 - 18*T1^9*T2^9 - 
     32*T1^10*T2^9 - 21*T1^11*T2^9 - 48*T1^12*T2^9 - 9*T1^13*T2^9 - 
     19*T1^14*T2^9 - 18*T1^15*T2^9 - 6*T1^16*T2^9 + 12*T1^2*T2^10 + 
     12*T1^3*T2^10 + 26*T1^4*T2^10 - 7*T1^5*T2^10 + 76*T1^6*T2^10 - 
     21*T1^7*T2^10 + 70*T1^8*T2^10 - 32*T1^9*T2^10 + 70*T1^10*T2^10 - 
     21*T1^11*T2^10 + 76*T1^12*T2^10 - 7*T1^13*T2^10 + 26*T1^14*T2^10 + 
     12*T1^15*T2^10 + 12*T1^16*T2^10 - 16*T1^3*T2^11 - 6*T1^4*T2^11 - 
     19*T1^5*T2^11 - 7*T1^6*T2^11 - 48*T1^7*T2^11 - 4*T1^8*T2^11 - 
     21*T1^9*T2^11 - 21*T1^10*T2^11 - 4*T1^11*T2^11 - 48*T1^12*T2^11 - 
     7*T1^13*T2^11 - 19*T1^14*T2^11 - 6*T1^15*T2^11 - 16*T1^16*T2^11 + 
     18*T1^4*T2^12 - 6*T1^5*T2^12 + 26*T1^6*T2^12 - 9*T1^7*T2^12 + 
     64*T1^8*T2^12 - 48*T1^9*T2^12 + 76*T1^10*T2^12 - 48*T1^11*T2^12 + 
     64*T1^12*T2^12 - 9*T1^13*T2^12 + 26*T1^14*T2^12 - 6*T1^15*T2^12 + 
     18*T1^16*T2^12 - 16*T1^5*T2^13 + 12*T1^6*T2^13 - 19*T1^7*T2^13 - 
     8*T1^8*T2^13 - 9*T1^9*T2^13 - 7*T1^10*T2^13 - 7*T1^11*T2^13 - 
     9*T1^12*T2^13 - 8*T1^13*T2^13 - 19*T1^14*T2^13 + 12*T1^15*T2^13 - 
     16*T1^16*T2^13 + 12*T1^6*T2^14 - 18*T1^7*T2^14 + 29*T1^8*T2^14 - 
     19*T1^9*T2^14 + 26*T1^10*T2^14 - 19*T1^11*T2^14 + 26*T1^12*T2^14 - 
     19*T1^13*T2^14 + 29*T1^14*T2^14 - 18*T1^15*T2^14 + 12*T1^16*T2^14 - 
     6*T1^7*T2^15 + 12*T1^8*T2^15 - 18*T1^9*T2^15 + 12*T1^10*T2^15 - 
     6*T1^11*T2^15 - 6*T1^12*T2^15 + 12*T1^13*T2^15 - 18*T1^14*T2^15 + 
     12*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)/(T1^8*T2^8)}, 
 Knot[10, 63] -> {((1 - T + T^2)*(5 - 9*T + 5*T^2))/T^2, 
   (-2*(145 - 396*T1 + 535*T1^2 - 396*T1^3 + 145*T1^4 - 396*T2 + 694*T1*T2 - 
      386*T1^2*T2 - 386*T1^3*T2 + 694*T1^4*T2 - 396*T1^5*T2 + 535*T2^2 - 
      386*T1*T2^2 - 519*T1^2*T2^2 + 1201*T1^3*T2^2 - 519*T1^4*T2^2 - 
      386*T1^5*T2^2 + 535*T1^6*T2^2 - 396*T2^3 - 386*T1*T2^3 + 
      1201*T1^2*T2^3 - 806*T1^3*T2^3 - 806*T1^4*T2^3 + 1201*T1^5*T2^3 - 
      386*T1^6*T2^3 - 396*T1^7*T2^3 + 145*T2^4 + 694*T1*T2^4 - 
      519*T1^2*T2^4 - 806*T1^3*T2^4 + 1884*T1^4*T2^4 - 806*T1^5*T2^4 - 
      519*T1^6*T2^4 + 694*T1^7*T2^4 + 145*T1^8*T2^4 - 396*T1*T2^5 - 
      386*T1^2*T2^5 + 1201*T1^3*T2^5 - 806*T1^4*T2^5 - 806*T1^5*T2^5 + 
      1201*T1^6*T2^5 - 386*T1^7*T2^5 - 396*T1^8*T2^5 + 535*T1^2*T2^6 - 
      386*T1^3*T2^6 - 519*T1^4*T2^6 + 1201*T1^5*T2^6 - 519*T1^6*T2^6 - 
      386*T1^7*T2^6 + 535*T1^8*T2^6 - 396*T1^3*T2^7 + 694*T1^4*T2^7 - 
      386*T1^5*T2^7 - 386*T1^6*T2^7 + 694*T1^7*T2^7 - 396*T1^8*T2^7 + 
      145*T1^4*T2^8 - 396*T1^5*T2^8 + 535*T1^6*T2^8 - 396*T1^7*T2^8 + 
      145*T1^8*T2^8))/(T1^4*T2^4)}, 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), 
   -((1 - 3*T1 + 6*T1^2 - 10*T1^3 + 11*T1^4 - 10*T1^5 + 6*T1^6 - 3*T1^7 + 
      T1^8 - 3*T2 + 6*T1*T2 - 9*T1^2*T2 + 12*T1^3*T2 - 3*T1^4*T2 - 
      3*T1^5*T2 + 12*T1^6*T2 - 9*T1^7*T2 + 6*T1^8*T2 - 3*T1^9*T2 + 6*T2^2 - 
      9*T1*T2^2 + 14*T1^2*T2^2 - 21*T1^3*T2^2 + 6*T1^4*T2^2 - 12*T1^5*T2^2 + 
      6*T1^6*T2^2 - 21*T1^7*T2^2 + 14*T1^8*T2^2 - 9*T1^9*T2^2 + 
      6*T1^10*T2^2 - 10*T2^3 + 12*T1*T2^3 - 21*T1^2*T2^3 + 30*T1^3*T2^3 + 
      T1^4*T2^3 + 13*T1^5*T2^3 + 13*T1^6*T2^3 + T1^7*T2^3 + 30*T1^8*T2^3 - 
      21*T1^9*T2^3 + 12*T1^10*T2^3 - 10*T1^11*T2^3 + 11*T2^4 - 3*T1*T2^4 + 
      6*T1^2*T2^4 + T1^3*T2^4 - 54*T1^4*T2^4 + 19*T1^5*T2^4 - 56*T1^6*T2^4 + 
      19*T1^7*T2^4 - 54*T1^8*T2^4 + T1^9*T2^4 + 6*T1^10*T2^4 - 3*T1^11*T2^4 + 
      11*T1^12*T2^4 - 10*T2^5 - 3*T1*T2^5 - 12*T1^2*T2^5 + 13*T1^3*T2^5 + 
      19*T1^4*T2^5 + 52*T1^5*T2^5 + 16*T1^6*T2^5 + 16*T1^7*T2^5 + 
      52*T1^8*T2^5 + 19*T1^9*T2^5 + 13*T1^10*T2^5 - 12*T1^11*T2^5 - 
      3*T1^12*T2^5 - 10*T1^13*T2^5 + 6*T2^6 + 12*T1*T2^6 + 6*T1^2*T2^6 + 
      13*T1^3*T2^6 - 56*T1^4*T2^6 + 16*T1^5*T2^6 - 149*T1^6*T2^6 + 
      103*T1^7*T2^6 - 149*T1^8*T2^6 + 16*T1^9*T2^6 - 56*T1^10*T2^6 + 
      13*T1^11*T2^6 + 6*T1^12*T2^6 + 12*T1^13*T2^6 + 6*T1^14*T2^6 - 3*T2^7 - 
      9*T1*T2^7 - 21*T1^2*T2^7 + T1^3*T2^7 + 19*T1^4*T2^7 + 16*T1^5*T2^7 + 
      103*T1^6*T2^7 + 12*T1^7*T2^7 + 12*T1^8*T2^7 + 103*T1^9*T2^7 + 
      16*T1^10*T2^7 + 19*T1^11*T2^7 + T1^12*T2^7 - 21*T1^13*T2^7 - 
      9*T1^14*T2^7 - 3*T1^15*T2^7 + T2^8 + 6*T1*T2^8 + 14*T1^2*T2^8 + 
      30*T1^3*T2^8 - 54*T1^4*T2^8 + 52*T1^5*T2^8 - 149*T1^6*T2^8 + 
      12*T1^7*T2^8 - 72*T1^8*T2^8 + 12*T1^9*T2^8 - 149*T1^10*T2^8 + 
      52*T1^11*T2^8 - 54*T1^12*T2^8 + 30*T1^13*T2^8 + 14*T1^14*T2^8 + 
      6*T1^15*T2^8 + T1^16*T2^8 - 3*T1*T2^9 - 9*T1^2*T2^9 - 21*T1^3*T2^9 + 
      T1^4*T2^9 + 19*T1^5*T2^9 + 16*T1^6*T2^9 + 103*T1^7*T2^9 + 
      12*T1^8*T2^9 + 12*T1^9*T2^9 + 103*T1^10*T2^9 + 16*T1^11*T2^9 + 
      19*T1^12*T2^9 + T1^13*T2^9 - 21*T1^14*T2^9 - 9*T1^15*T2^9 - 
      3*T1^16*T2^9 + 6*T1^2*T2^10 + 12*T1^3*T2^10 + 6*T1^4*T2^10 + 
      13*T1^5*T2^10 - 56*T1^6*T2^10 + 16*T1^7*T2^10 - 149*T1^8*T2^10 + 
      103*T1^9*T2^10 - 149*T1^10*T2^10 + 16*T1^11*T2^10 - 56*T1^12*T2^10 + 
      13*T1^13*T2^10 + 6*T1^14*T2^10 + 12*T1^15*T2^10 + 6*T1^16*T2^10 - 
      10*T1^3*T2^11 - 3*T1^4*T2^11 - 12*T1^5*T2^11 + 13*T1^6*T2^11 + 
      19*T1^7*T2^11 + 52*T1^8*T2^11 + 16*T1^9*T2^11 + 16*T1^10*T2^11 + 
      52*T1^11*T2^11 + 19*T1^12*T2^11 + 13*T1^13*T2^11 - 12*T1^14*T2^11 - 
      3*T1^15*T2^11 - 10*T1^16*T2^11 + 11*T1^4*T2^12 - 3*T1^5*T2^12 + 
      6*T1^6*T2^12 + T1^7*T2^12 - 54*T1^8*T2^12 + 19*T1^9*T2^12 - 
      56*T1^10*T2^12 + 19*T1^11*T2^12 - 54*T1^12*T2^12 + T1^13*T2^12 + 
      6*T1^14*T2^12 - 3*T1^15*T2^12 + 11*T1^16*T2^12 - 10*T1^5*T2^13 + 
      12*T1^6*T2^13 - 21*T1^7*T2^13 + 30*T1^8*T2^13 + T1^9*T2^13 + 
      13*T1^10*T2^13 + 13*T1^11*T2^13 + T1^12*T2^13 + 30*T1^13*T2^13 - 
      21*T1^14*T2^13 + 12*T1^15*T2^13 - 10*T1^16*T2^13 + 6*T1^6*T2^14 - 
      9*T1^7*T2^14 + 14*T1^8*T2^14 - 21*T1^9*T2^14 + 6*T1^10*T2^14 - 
      12*T1^11*T2^14 + 6*T1^12*T2^14 - 21*T1^13*T2^14 + 14*T1^14*T2^14 - 
      9*T1^15*T2^14 + 6*T1^16*T2^14 - 3*T1^7*T2^15 + 6*T1^8*T2^15 - 
      9*T1^9*T2^15 + 12*T1^10*T2^15 - 3*T1^11*T2^15 - 3*T1^12*T2^15 + 
      12*T1^13*T2^15 - 9*T1^14*T2^15 + 6*T1^15*T2^15 - 3*T1^16*T2^15 + 
      T1^8*T2^16 - 3*T1^9*T2^16 + 6*T1^10*T2^16 - 10*T1^11*T2^16 + 
      11*T1^12*T2^16 - 10*T1^13*T2^16 + 6*T1^14*T2^16 - 3*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, Knot[10, 65] -> 
  {((1 - T + T^2)^2*(2 - 3*T + 2*T^2))/T^3, 
   (9 - 31*T1 + 62*T1^2 - 75*T1^3 + 62*T1^4 - 31*T1^5 + 9*T1^6 - 31*T2 + 
     76*T1*T2 - 107*T1^2*T2 + 45*T1^3*T2 + 45*T1^4*T2 - 107*T1^5*T2 + 
     76*T1^6*T2 - 31*T1^7*T2 + 62*T2^2 - 107*T1*T2^2 + 118*T1^2*T2^2 + 
     28*T1^3*T2^2 - 78*T1^4*T2^2 + 28*T1^5*T2^2 + 118*T1^6*T2^2 - 
     107*T1^7*T2^2 + 62*T1^8*T2^2 - 75*T2^3 + 45*T1*T2^3 + 28*T1^2*T2^3 - 
     256*T1^3*T2^3 + 113*T1^4*T2^3 + 113*T1^5*T2^3 - 256*T1^6*T2^3 + 
     28*T1^7*T2^3 + 45*T1^8*T2^3 - 75*T1^9*T2^3 + 62*T2^4 + 45*T1*T2^4 - 
     78*T1^2*T2^4 + 113*T1^3*T2^4 + 420*T1^4*T2^4 - 636*T1^5*T2^4 + 
     420*T1^6*T2^4 + 113*T1^7*T2^4 - 78*T1^8*T2^4 + 45*T1^9*T2^4 + 
     62*T1^10*T2^4 - 31*T2^5 - 107*T1*T2^5 + 28*T1^2*T2^5 + 113*T1^3*T2^5 - 
     636*T1^4*T2^5 + 312*T1^5*T2^5 + 312*T1^6*T2^5 - 636*T1^7*T2^5 + 
     113*T1^8*T2^5 + 28*T1^9*T2^5 - 107*T1^10*T2^5 - 31*T1^11*T2^5 + 9*T2^6 + 
     76*T1*T2^6 + 118*T1^2*T2^6 - 256*T1^3*T2^6 + 420*T1^4*T2^6 + 
     312*T1^5*T2^6 - 660*T1^6*T2^6 + 312*T1^7*T2^6 + 420*T1^8*T2^6 - 
     256*T1^9*T2^6 + 118*T1^10*T2^6 + 76*T1^11*T2^6 + 9*T1^12*T2^6 - 
     31*T1*T2^7 - 107*T1^2*T2^7 + 28*T1^3*T2^7 + 113*T1^4*T2^7 - 
     636*T1^5*T2^7 + 312*T1^6*T2^7 + 312*T1^7*T2^7 - 636*T1^8*T2^7 + 
     113*T1^9*T2^7 + 28*T1^10*T2^7 - 107*T1^11*T2^7 - 31*T1^12*T2^7 + 
     62*T1^2*T2^8 + 45*T1^3*T2^8 - 78*T1^4*T2^8 + 113*T1^5*T2^8 + 
     420*T1^6*T2^8 - 636*T1^7*T2^8 + 420*T1^8*T2^8 + 113*T1^9*T2^8 - 
     78*T1^10*T2^8 + 45*T1^11*T2^8 + 62*T1^12*T2^8 - 75*T1^3*T2^9 + 
     45*T1^4*T2^9 + 28*T1^5*T2^9 - 256*T1^6*T2^9 + 113*T1^7*T2^9 + 
     113*T1^8*T2^9 - 256*T1^9*T2^9 + 28*T1^10*T2^9 + 45*T1^11*T2^9 - 
     75*T1^12*T2^9 + 62*T1^4*T2^10 - 107*T1^5*T2^10 + 118*T1^6*T2^10 + 
     28*T1^7*T2^10 - 78*T1^8*T2^10 + 28*T1^9*T2^10 + 118*T1^10*T2^10 - 
     107*T1^11*T2^10 + 62*T1^12*T2^10 - 31*T1^5*T2^11 + 76*T1^6*T2^11 - 
     107*T1^7*T2^11 + 45*T1^8*T2^11 + 45*T1^9*T2^11 - 107*T1^10*T2^11 + 
     76*T1^11*T2^11 - 31*T1^12*T2^11 + 9*T1^6*T2^12 - 31*T1^7*T2^12 + 
     62*T1^8*T2^12 - 75*T1^9*T2^12 + 62*T1^10*T2^12 - 31*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, Knot[10, 66] -> 
  {((1 - T + T^2)*(3 - 6*T + 7*T^2 - 6*T^3 + 3*T^4))/T^3, 
   -((84 - 246*T1 + 434*T1^2 - 514*T1^3 + 434*T1^4 - 246*T1^5 + 84*T1^6 - 
      246*T2 + 480*T1*T2 - 558*T1^2*T2 + 238*T1^3*T2 + 238*T1^4*T2 - 
      558*T1^5*T2 + 480*T1^6*T2 - 246*T1^7*T2 + 434*T2^2 - 558*T1*T2^2 + 
      505*T1^2*T2^2 - 48*T1^3*T2^2 - 133*T1^4*T2^2 - 48*T1^5*T2^2 + 
      505*T1^6*T2^2 - 558*T1^7*T2^2 + 434*T1^8*T2^2 - 514*T2^3 + 
      238*T1*T2^3 - 48*T1^2*T2^3 - 432*T1^3*T2^3 + 181*T1^4*T2^3 + 
      181*T1^5*T2^3 - 432*T1^6*T2^3 - 48*T1^7*T2^3 + 238*T1^8*T2^3 - 
      514*T1^9*T2^3 + 434*T2^4 + 238*T1*T2^4 - 133*T1^2*T2^4 + 
      181*T1^3*T2^4 + 697*T1^4*T2^4 - 933*T1^5*T2^4 + 697*T1^6*T2^4 + 
      181*T1^7*T2^4 - 133*T1^8*T2^4 + 238*T1^9*T2^4 + 434*T1^10*T2^4 - 
      246*T2^5 - 558*T1*T2^5 - 48*T1^2*T2^5 + 181*T1^3*T2^5 - 933*T1^4*T2^5 + 
      340*T1^5*T2^5 + 340*T1^6*T2^5 - 933*T1^7*T2^5 + 181*T1^8*T2^5 - 
      48*T1^9*T2^5 - 558*T1^10*T2^5 - 246*T1^11*T2^5 + 84*T2^6 + 
      480*T1*T2^6 + 505*T1^2*T2^6 - 432*T1^3*T2^6 + 697*T1^4*T2^6 + 
      340*T1^5*T2^6 - 576*T1^6*T2^6 + 340*T1^7*T2^6 + 697*T1^8*T2^6 - 
      432*T1^9*T2^6 + 505*T1^10*T2^6 + 480*T1^11*T2^6 + 84*T1^12*T2^6 - 
      246*T1*T2^7 - 558*T1^2*T2^7 - 48*T1^3*T2^7 + 181*T1^4*T2^7 - 
      933*T1^5*T2^7 + 340*T1^6*T2^7 + 340*T1^7*T2^7 - 933*T1^8*T2^7 + 
      181*T1^9*T2^7 - 48*T1^10*T2^7 - 558*T1^11*T2^7 - 246*T1^12*T2^7 + 
      434*T1^2*T2^8 + 238*T1^3*T2^8 - 133*T1^4*T2^8 + 181*T1^5*T2^8 + 
      697*T1^6*T2^8 - 933*T1^7*T2^8 + 697*T1^8*T2^8 + 181*T1^9*T2^8 - 
      133*T1^10*T2^8 + 238*T1^11*T2^8 + 434*T1^12*T2^8 - 514*T1^3*T2^9 + 
      238*T1^4*T2^9 - 48*T1^5*T2^9 - 432*T1^6*T2^9 + 181*T1^7*T2^9 + 
      181*T1^8*T2^9 - 432*T1^9*T2^9 - 48*T1^10*T2^9 + 238*T1^11*T2^9 - 
      514*T1^12*T2^9 + 434*T1^4*T2^10 - 558*T1^5*T2^10 + 505*T1^6*T2^10 - 
      48*T1^7*T2^10 - 133*T1^8*T2^10 - 48*T1^9*T2^10 + 505*T1^10*T2^10 - 
      558*T1^11*T2^10 + 434*T1^12*T2^10 - 246*T1^5*T2^11 + 480*T1^6*T2^11 - 
      558*T1^7*T2^11 + 238*T1^8*T2^11 + 238*T1^9*T2^11 - 558*T1^10*T2^11 + 
      480*T1^11*T2^11 - 246*T1^12*T2^11 + 84*T1^6*T2^12 - 246*T1^7*T2^12 + 
      434*T1^8*T2^12 - 514*T1^9*T2^12 + 434*T1^10*T2^12 - 246*T1^11*T2^12 + 
      84*T1^12*T2^12)/(T1^6*T2^6))}, Knot[10, 67] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 3*T + 2*T^2))/T^2), 
   (2*(40 - 158*T1 + 224*T1^2 - 158*T1^3 + 40*T1^4 - 158*T2 + 468*T1*T2 - 
      263*T1^2*T2 - 263*T1^3*T2 + 468*T1^4*T2 - 158*T1^5*T2 + 224*T2^2 - 
      263*T1*T2^2 - 991*T1^2*T2^2 + 1752*T1^3*T2^2 - 991*T1^4*T2^2 - 
      263*T1^5*T2^2 + 224*T1^6*T2^2 - 158*T2^3 - 263*T1*T2^3 + 
      1752*T1^2*T2^3 - 1042*T1^3*T2^3 - 1042*T1^4*T2^3 + 1752*T1^5*T2^3 - 
      263*T1^6*T2^3 - 158*T1^7*T2^3 + 40*T2^4 + 468*T1*T2^4 - 991*T1^2*T2^4 - 
      1042*T1^3*T2^4 + 2346*T1^4*T2^4 - 1042*T1^5*T2^4 - 991*T1^6*T2^4 + 
      468*T1^7*T2^4 + 40*T1^8*T2^4 - 158*T1*T2^5 - 263*T1^2*T2^5 + 
      1752*T1^3*T2^5 - 1042*T1^4*T2^5 - 1042*T1^5*T2^5 + 1752*T1^6*T2^5 - 
      263*T1^7*T2^5 - 158*T1^8*T2^5 + 224*T1^2*T2^6 - 263*T1^3*T2^6 - 
      991*T1^4*T2^6 + 1752*T1^5*T2^6 - 991*T1^6*T2^6 - 263*T1^7*T2^6 + 
      224*T1^8*T2^6 - 158*T1^3*T2^7 + 468*T1^4*T2^7 - 263*T1^5*T2^7 - 
      263*T1^6*T2^7 + 468*T1^7*T2^7 - 158*T1^8*T2^7 + 40*T1^4*T2^8 - 
      158*T1^5*T2^8 + 224*T1^6*T2^8 - 158*T1^7*T2^8 + 40*T1^8*T2^8))/
    (T1^4*T2^4)}, Knot[10, 68] -> {(4 - 14*T + 21*T^2 - 14*T^3 + 4*T^4)/T^2, 
   -((16 - 56*T1 + 88*T1^2 - 56*T1^3 + 16*T1^4 - 56*T2 + 142*T1*T2 - 
      114*T1^2*T2 - 114*T1^3*T2 + 142*T1^4*T2 - 56*T1^5*T2 + 88*T2^2 - 
      114*T1*T2^2 - 69*T1^2*T2^2 + 395*T1^3*T2^2 - 69*T1^4*T2^2 - 
      114*T1^5*T2^2 + 88*T1^6*T2^2 - 56*T2^3 - 114*T1*T2^3 + 395*T1^2*T2^3 - 
      444*T1^3*T2^3 - 444*T1^4*T2^3 + 395*T1^5*T2^3 - 114*T1^6*T2^3 - 
      56*T1^7*T2^3 + 16*T2^4 + 142*T1*T2^4 - 69*T1^2*T2^4 - 444*T1^3*T2^4 + 
      1272*T1^4*T2^4 - 444*T1^5*T2^4 - 69*T1^6*T2^4 + 142*T1^7*T2^4 + 
      16*T1^8*T2^4 - 56*T1*T2^5 - 114*T1^2*T2^5 + 395*T1^3*T2^5 - 
      444*T1^4*T2^5 - 444*T1^5*T2^5 + 395*T1^6*T2^5 - 114*T1^7*T2^5 - 
      56*T1^8*T2^5 + 88*T1^2*T2^6 - 114*T1^3*T2^6 - 69*T1^4*T2^6 + 
      395*T1^5*T2^6 - 69*T1^6*T2^6 - 114*T1^7*T2^6 + 88*T1^8*T2^6 - 
      56*T1^3*T2^7 + 142*T1^4*T2^7 - 114*T1^5*T2^7 - 114*T1^6*T2^7 + 
      142*T1^7*T2^7 - 56*T1^8*T2^7 + 16*T1^4*T2^8 - 56*T1^5*T2^8 + 
      88*T1^6*T2^8 - 56*T1^7*T2^8 + 16*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[10, 69] -> {(1 - 7*T + 21*T^2 - 29*T^3 + 21*T^4 - 7*T^5 + T^6)/T^3, 
   (1 - 7*T1 + 21*T1^2 - 29*T1^3 + 21*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
     42*T1*T2 - 98*T1^2*T2 + 56*T1^3*T2 + 56*T1^4*T2 - 98*T1^5*T2 + 
     42*T1^6*T2 - 7*T1^7*T2 + 21*T2^2 - 98*T1*T2^2 + 117*T1^2*T2^2 + 
     289*T1^3*T2^2 - 565*T1^4*T2^2 + 289*T1^5*T2^2 + 117*T1^6*T2^2 - 
     98*T1^7*T2^2 + 21*T1^8*T2^2 - 29*T2^3 + 56*T1*T2^3 + 289*T1^2*T2^3 - 
     1306*T1^3*T2^3 + 810*T1^4*T2^3 + 810*T1^5*T2^3 - 1306*T1^6*T2^3 + 
     289*T1^7*T2^3 + 56*T1^8*T2^3 - 29*T1^9*T2^3 + 21*T2^4 + 56*T1*T2^4 - 
     565*T1^2*T2^4 + 810*T1^3*T2^4 + 2479*T1^4*T2^4 - 4713*T1^5*T2^4 + 
     2479*T1^6*T2^4 + 810*T1^7*T2^4 - 565*T1^8*T2^4 + 56*T1^9*T2^4 + 
     21*T1^10*T2^4 - 7*T2^5 - 98*T1*T2^5 + 289*T1^2*T2^5 + 810*T1^3*T2^5 - 
     4713*T1^4*T2^5 + 2978*T1^5*T2^5 + 2978*T1^6*T2^5 - 4713*T1^7*T2^5 + 
     810*T1^8*T2^5 + 289*T1^9*T2^5 - 98*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
     42*T1*T2^6 + 117*T1^2*T2^6 - 1306*T1^3*T2^6 + 2479*T1^4*T2^6 + 
     2978*T1^5*T2^6 - 6876*T1^6*T2^6 + 2978*T1^7*T2^6 + 2479*T1^8*T2^6 - 
     1306*T1^9*T2^6 + 117*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
     7*T1*T2^7 - 98*T1^2*T2^7 + 289*T1^3*T2^7 + 810*T1^4*T2^7 - 
     4713*T1^5*T2^7 + 2978*T1^6*T2^7 + 2978*T1^7*T2^7 - 4713*T1^8*T2^7 + 
     810*T1^9*T2^7 + 289*T1^10*T2^7 - 98*T1^11*T2^7 - 7*T1^12*T2^7 + 
     21*T1^2*T2^8 + 56*T1^3*T2^8 - 565*T1^4*T2^8 + 810*T1^5*T2^8 + 
     2479*T1^6*T2^8 - 4713*T1^7*T2^8 + 2479*T1^8*T2^8 + 810*T1^9*T2^8 - 
     565*T1^10*T2^8 + 56*T1^11*T2^8 + 21*T1^12*T2^8 - 29*T1^3*T2^9 + 
     56*T1^4*T2^9 + 289*T1^5*T2^9 - 1306*T1^6*T2^9 + 810*T1^7*T2^9 + 
     810*T1^8*T2^9 - 1306*T1^9*T2^9 + 289*T1^10*T2^9 + 56*T1^11*T2^9 - 
     29*T1^12*T2^9 + 21*T1^4*T2^10 - 98*T1^5*T2^10 + 117*T1^6*T2^10 + 
     289*T1^7*T2^10 - 565*T1^8*T2^10 + 289*T1^9*T2^10 + 117*T1^10*T2^10 - 
     98*T1^11*T2^10 + 21*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
     98*T1^7*T2^11 + 56*T1^8*T2^11 + 56*T1^9*T2^11 - 98*T1^10*T2^11 + 
     42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
     21*T1^8*T2^12 - 29*T1^9*T2^12 + 21*T1^10*T2^12 - 7*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[10, 70] -> 
  {(1 - 7*T + 16*T^2 - 19*T^3 + 16*T^4 - 7*T^5 + T^6)/T^3, 
   (1 - 7*T1 + 16*T1^2 - 19*T1^3 + 16*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
     42*T1*T2 - 63*T1^2*T2 + 21*T1^3*T2 + 21*T1^4*T2 - 63*T1^5*T2 + 
     42*T1^6*T2 - 7*T1^7*T2 + 16*T2^2 - 63*T1*T2^2 - 66*T1^2*T2^2 + 
     355*T1^3*T2^2 - 406*T1^4*T2^2 + 355*T1^5*T2^2 - 66*T1^6*T2^2 - 
     63*T1^7*T2^2 + 16*T1^8*T2^2 - 19*T2^3 + 21*T1*T2^3 + 355*T1^2*T2^3 - 
     662*T1^3*T2^3 + 189*T1^4*T2^3 + 189*T1^5*T2^3 - 662*T1^6*T2^3 + 
     355*T1^7*T2^3 + 21*T1^8*T2^3 - 19*T1^9*T2^3 + 16*T2^4 + 21*T1*T2^4 - 
     406*T1^2*T2^4 + 189*T1^3*T2^4 + 975*T1^4*T2^4 - 1163*T1^5*T2^4 + 
     975*T1^6*T2^4 + 189*T1^7*T2^4 - 406*T1^8*T2^4 + 21*T1^9*T2^4 + 
     16*T1^10*T2^4 - 7*T2^5 - 63*T1*T2^5 + 355*T1^2*T2^5 + 189*T1^3*T2^5 - 
     1163*T1^4*T2^5 + 410*T1^5*T2^5 + 410*T1^6*T2^5 - 1163*T1^7*T2^5 + 
     189*T1^8*T2^5 + 355*T1^9*T2^5 - 63*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
     42*T1*T2^6 - 66*T1^2*T2^6 - 662*T1^3*T2^6 + 975*T1^4*T2^6 + 
     410*T1^5*T2^6 - 804*T1^6*T2^6 + 410*T1^7*T2^6 + 975*T1^8*T2^6 - 
     662*T1^9*T2^6 - 66*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 7*T1*T2^7 - 
     63*T1^2*T2^7 + 355*T1^3*T2^7 + 189*T1^4*T2^7 - 1163*T1^5*T2^7 + 
     410*T1^6*T2^7 + 410*T1^7*T2^7 - 1163*T1^8*T2^7 + 189*T1^9*T2^7 + 
     355*T1^10*T2^7 - 63*T1^11*T2^7 - 7*T1^12*T2^7 + 16*T1^2*T2^8 + 
     21*T1^3*T2^8 - 406*T1^4*T2^8 + 189*T1^5*T2^8 + 975*T1^6*T2^8 - 
     1163*T1^7*T2^8 + 975*T1^8*T2^8 + 189*T1^9*T2^8 - 406*T1^10*T2^8 + 
     21*T1^11*T2^8 + 16*T1^12*T2^8 - 19*T1^3*T2^9 + 21*T1^4*T2^9 + 
     355*T1^5*T2^9 - 662*T1^6*T2^9 + 189*T1^7*T2^9 + 189*T1^8*T2^9 - 
     662*T1^9*T2^9 + 355*T1^10*T2^9 + 21*T1^11*T2^9 - 19*T1^12*T2^9 + 
     16*T1^4*T2^10 - 63*T1^5*T2^10 - 66*T1^6*T2^10 + 355*T1^7*T2^10 - 
     406*T1^8*T2^10 + 355*T1^9*T2^10 - 66*T1^10*T2^10 - 63*T1^11*T2^10 + 
     16*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 63*T1^7*T2^11 + 
     21*T1^8*T2^11 + 21*T1^9*T2^11 - 63*T1^10*T2^11 + 42*T1^11*T2^11 - 
     7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 16*T1^8*T2^12 - 
     19*T1^9*T2^12 + 16*T1^10*T2^12 - 7*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[10, 71] -> 
  {-((1 - 7*T + 18*T^2 - 25*T^3 + 18*T^4 - 7*T^5 + T^6)/T^3), 
   -((5 - 15*T1 + 21*T1^2 - 15*T1^3 + 5*T1^4 - 15*T2 + 32*T1*T2 - 
      19*T1^2*T2 - 19*T1^3*T2 + 32*T1^4*T2 - 15*T1^5*T2 + 21*T2^2 - 
      19*T1*T2^2 - 42*T1^2*T2^2 + 84*T1^3*T2^2 - 42*T1^4*T2^2 - 
      19*T1^5*T2^2 + 21*T1^6*T2^2 - 15*T2^3 - 19*T1*T2^3 + 84*T1^2*T2^3 - 
      48*T1^3*T2^3 - 48*T1^4*T2^3 + 84*T1^5*T2^3 - 19*T1^6*T2^3 - 
      15*T1^7*T2^3 + 5*T2^4 + 32*T1*T2^4 - 42*T1^2*T2^4 - 48*T1^3*T2^4 + 
      96*T1^4*T2^4 - 48*T1^5*T2^4 - 42*T1^6*T2^4 + 32*T1^7*T2^4 + 
      5*T1^8*T2^4 - 15*T1*T2^5 - 19*T1^2*T2^5 + 84*T1^3*T2^5 - 48*T1^4*T2^5 - 
      48*T1^5*T2^5 + 84*T1^6*T2^5 - 19*T1^7*T2^5 - 15*T1^8*T2^5 + 
      21*T1^2*T2^6 - 19*T1^3*T2^6 - 42*T1^4*T2^6 + 84*T1^5*T2^6 - 
      42*T1^6*T2^6 - 19*T1^7*T2^6 + 21*T1^8*T2^6 - 15*T1^3*T2^7 + 
      32*T1^4*T2^7 - 19*T1^5*T2^7 - 19*T1^6*T2^7 + 32*T1^7*T2^7 - 
      15*T1^8*T2^7 + 5*T1^4*T2^8 - 15*T1^5*T2^8 + 21*T1^6*T2^8 - 
      15*T1^7*T2^8 + 5*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[10, 72] -> {-((2 - 9*T + 16*T^2 - 19*T^3 + 16*T^4 - 9*T^5 + 2*T^6)/
     T^3), -((17 - 75*T1 + 130*T1^2 - 153*T1^3 + 130*T1^4 - 75*T1^5 + 
      17*T1^6 - 75*T2 + 258*T1*T2 - 249*T1^2*T2 + 105*T1^3*T2 + 105*T1^4*T2 - 
      249*T1^5*T2 + 258*T1^6*T2 - 75*T1^7*T2 + 130*T2^2 - 249*T1*T2^2 - 
      328*T1^2*T2^2 + 828*T1^3*T2^2 - 1058*T1^4*T2^2 + 828*T1^5*T2^2 - 
      328*T1^6*T2^2 - 249*T1^7*T2^2 + 130*T1^8*T2^2 - 153*T2^3 + 
      105*T1*T2^3 + 828*T1^2*T2^3 - 804*T1^3*T2^3 + 370*T1^4*T2^3 + 
      370*T1^5*T2^3 - 804*T1^6*T2^3 + 828*T1^7*T2^3 + 105*T1^8*T2^3 - 
      153*T1^9*T2^3 + 130*T2^4 + 105*T1*T2^4 - 1058*T1^2*T2^4 + 
      370*T1^3*T2^4 + 31*T1^4*T2^4 - 329*T1^5*T2^4 + 31*T1^6*T2^4 + 
      370*T1^7*T2^4 - 1058*T1^8*T2^4 + 105*T1^9*T2^4 + 130*T1^10*T2^4 - 
      75*T2^5 - 249*T1*T2^5 + 828*T1^2*T2^5 + 370*T1^3*T2^5 - 329*T1^4*T2^5 + 
      238*T1^5*T2^5 + 238*T1^6*T2^5 - 329*T1^7*T2^5 + 370*T1^8*T2^5 + 
      828*T1^9*T2^5 - 249*T1^10*T2^5 - 75*T1^11*T2^5 + 17*T2^6 + 
      258*T1*T2^6 - 328*T1^2*T2^6 - 804*T1^3*T2^6 + 31*T1^4*T2^6 + 
      238*T1^5*T2^6 - 540*T1^6*T2^6 + 238*T1^7*T2^6 + 31*T1^8*T2^6 - 
      804*T1^9*T2^6 - 328*T1^10*T2^6 + 258*T1^11*T2^6 + 17*T1^12*T2^6 - 
      75*T1*T2^7 - 249*T1^2*T2^7 + 828*T1^3*T2^7 + 370*T1^4*T2^7 - 
      329*T1^5*T2^7 + 238*T1^6*T2^7 + 238*T1^7*T2^7 - 329*T1^8*T2^7 + 
      370*T1^9*T2^7 + 828*T1^10*T2^7 - 249*T1^11*T2^7 - 75*T1^12*T2^7 + 
      130*T1^2*T2^8 + 105*T1^3*T2^8 - 1058*T1^4*T2^8 + 370*T1^5*T2^8 + 
      31*T1^6*T2^8 - 329*T1^7*T2^8 + 31*T1^8*T2^8 + 370*T1^9*T2^8 - 
      1058*T1^10*T2^8 + 105*T1^11*T2^8 + 130*T1^12*T2^8 - 153*T1^3*T2^9 + 
      105*T1^4*T2^9 + 828*T1^5*T2^9 - 804*T1^6*T2^9 + 370*T1^7*T2^9 + 
      370*T1^8*T2^9 - 804*T1^9*T2^9 + 828*T1^10*T2^9 + 105*T1^11*T2^9 - 
      153*T1^12*T2^9 + 130*T1^4*T2^10 - 249*T1^5*T2^10 - 328*T1^6*T2^10 + 
      828*T1^7*T2^10 - 1058*T1^8*T2^10 + 828*T1^9*T2^10 - 328*T1^10*T2^10 - 
      249*T1^11*T2^10 + 130*T1^12*T2^10 - 75*T1^5*T2^11 + 258*T1^6*T2^11 - 
      249*T1^7*T2^11 + 105*T1^8*T2^11 + 105*T1^9*T2^11 - 249*T1^10*T2^11 + 
      258*T1^11*T2^11 - 75*T1^12*T2^11 + 17*T1^6*T2^12 - 75*T1^7*T2^12 + 
      130*T1^8*T2^12 - 153*T1^9*T2^12 + 130*T1^10*T2^12 - 75*T1^11*T2^12 + 
      17*T1^12*T2^12)/(T1^6*T2^6))}, Knot[10, 73] -> 
  {(1 - 7*T + 20*T^2 - 27*T^3 + 20*T^4 - 7*T^5 + T^6)/T^3, 
   -((1 - 7*T1 + 20*T1^2 - 27*T1^3 + 20*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 91*T1^2*T2 + 49*T1^3*T2 + 49*T1^4*T2 - 91*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 20*T2^2 - 91*T1*T2^2 + 76*T1^2*T2^2 + 
      307*T1^3*T2^2 - 534*T1^4*T2^2 + 307*T1^5*T2^2 + 76*T1^6*T2^2 - 
      91*T1^7*T2^2 + 20*T1^8*T2^2 - 27*T2^3 + 49*T1*T2^3 + 307*T1^2*T2^3 - 
      1142*T1^3*T2^3 + 645*T1^4*T2^3 + 645*T1^5*T2^3 - 1142*T1^6*T2^3 + 
      307*T1^7*T2^3 + 49*T1^8*T2^3 - 27*T1^9*T2^3 + 20*T2^4 + 49*T1*T2^4 - 
      534*T1^2*T2^4 + 645*T1^3*T2^4 + 2019*T1^4*T2^4 - 3595*T1^5*T2^4 + 
      2019*T1^6*T2^4 + 645*T1^7*T2^4 - 534*T1^8*T2^4 + 49*T1^9*T2^4 + 
      20*T1^10*T2^4 - 7*T2^5 - 91*T1*T2^5 + 307*T1^2*T2^5 + 645*T1^3*T2^5 - 
      3595*T1^4*T2^5 + 2086*T1^5*T2^5 + 2086*T1^6*T2^5 - 3595*T1^7*T2^5 + 
      645*T1^8*T2^5 + 307*T1^9*T2^5 - 91*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 + 76*T1^2*T2^6 - 1142*T1^3*T2^6 + 2019*T1^4*T2^6 + 
      2086*T1^5*T2^6 - 4632*T1^6*T2^6 + 2086*T1^7*T2^6 + 2019*T1^8*T2^6 - 
      1142*T1^9*T2^6 + 76*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 91*T1^2*T2^7 + 307*T1^3*T2^7 + 645*T1^4*T2^7 - 
      3595*T1^5*T2^7 + 2086*T1^6*T2^7 + 2086*T1^7*T2^7 - 3595*T1^8*T2^7 + 
      645*T1^9*T2^7 + 307*T1^10*T2^7 - 91*T1^11*T2^7 - 7*T1^12*T2^7 + 
      20*T1^2*T2^8 + 49*T1^3*T2^8 - 534*T1^4*T2^8 + 645*T1^5*T2^8 + 
      2019*T1^6*T2^8 - 3595*T1^7*T2^8 + 2019*T1^8*T2^8 + 645*T1^9*T2^8 - 
      534*T1^10*T2^8 + 49*T1^11*T2^8 + 20*T1^12*T2^8 - 27*T1^3*T2^9 + 
      49*T1^4*T2^9 + 307*T1^5*T2^9 - 1142*T1^6*T2^9 + 645*T1^7*T2^9 + 
      645*T1^8*T2^9 - 1142*T1^9*T2^9 + 307*T1^10*T2^9 + 49*T1^11*T2^9 - 
      27*T1^12*T2^9 + 20*T1^4*T2^10 - 91*T1^5*T2^10 + 76*T1^6*T2^10 + 
      307*T1^7*T2^10 - 534*T1^8*T2^10 + 307*T1^9*T2^10 + 76*T1^10*T2^10 - 
      91*T1^11*T2^10 + 20*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      91*T1^7*T2^11 + 49*T1^8*T2^11 + 49*T1^9*T2^11 - 91*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      20*T1^8*T2^12 - 27*T1^9*T2^12 + 20*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[10, 74] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 3*T + 2*T^2))/T^2), 
   (2*(40 - 156*T1 + 220*T1^2 - 156*T1^3 + 40*T1^4 - 156*T2 + 454*T1*T2 - 
      252*T1^2*T2 - 252*T1^3*T2 + 454*T1^4*T2 - 156*T1^5*T2 + 220*T2^2 - 
      252*T1*T2^2 - 930*T1^2*T2^2 + 1631*T1^3*T2^2 - 930*T1^4*T2^2 - 
      252*T1^5*T2^2 + 220*T1^6*T2^2 - 156*T2^3 - 252*T1*T2^3 + 
      1631*T1^2*T2^3 - 954*T1^3*T2^3 - 954*T1^4*T2^3 + 1631*T1^5*T2^3 - 
      252*T1^6*T2^3 - 156*T1^7*T2^3 + 40*T2^4 + 454*T1*T2^4 - 930*T1^2*T2^4 - 
      954*T1^3*T2^4 + 2130*T1^4*T2^4 - 954*T1^5*T2^4 - 930*T1^6*T2^4 + 
      454*T1^7*T2^4 + 40*T1^8*T2^4 - 156*T1*T2^5 - 252*T1^2*T2^5 + 
      1631*T1^3*T2^5 - 954*T1^4*T2^5 - 954*T1^5*T2^5 + 1631*T1^6*T2^5 - 
      252*T1^7*T2^5 - 156*T1^8*T2^5 + 220*T1^2*T2^6 - 252*T1^3*T2^6 - 
      930*T1^4*T2^6 + 1631*T1^5*T2^6 - 930*T1^6*T2^6 - 252*T1^7*T2^6 + 
      220*T1^8*T2^6 - 156*T1^3*T2^7 + 454*T1^4*T2^7 - 252*T1^5*T2^7 - 
      252*T1^6*T2^7 + 454*T1^7*T2^7 - 156*T1^8*T2^7 + 40*T1^4*T2^8 - 
      156*T1^5*T2^8 + 220*T1^6*T2^8 - 156*T1^7*T2^8 + 40*T1^8*T2^8))/
    (T1^4*T2^4)}, Knot[10, 75] -> 
  {-(((-1 + 3*T - 4*T^2 + T^3)*(-1 + 4*T - 3*T^2 + T^3))/T^3), 
   (2 - 8*T1 + 16*T1^2 - 8*T1^3 + 2*T1^4 - 8*T2 + 18*T1*T2 - 32*T1^2*T2 - 
     32*T1^3*T2 + 18*T1^4*T2 - 8*T1^5*T2 + 16*T2^2 - 32*T1*T2^2 + 
     75*T1^2*T2^2 + 75*T1^3*T2^2 + 75*T1^4*T2^2 - 32*T1^5*T2^2 + 
     16*T1^6*T2^2 - 8*T2^3 - 32*T1*T2^3 + 75*T1^2*T2^3 - 256*T1^3*T2^3 - 
     256*T1^4*T2^3 + 75*T1^5*T2^3 - 32*T1^6*T2^3 - 8*T1^7*T2^3 + 2*T2^4 + 
     18*T1*T2^4 + 75*T1^2*T2^4 - 256*T1^3*T2^4 + 900*T1^4*T2^4 - 
     256*T1^5*T2^4 + 75*T1^6*T2^4 + 18*T1^7*T2^4 + 2*T1^8*T2^4 - 8*T1*T2^5 - 
     32*T1^2*T2^5 + 75*T1^3*T2^5 - 256*T1^4*T2^5 - 256*T1^5*T2^5 + 
     75*T1^6*T2^5 - 32*T1^7*T2^5 - 8*T1^8*T2^5 + 16*T1^2*T2^6 - 
     32*T1^3*T2^6 + 75*T1^4*T2^6 + 75*T1^5*T2^6 + 75*T1^6*T2^6 - 
     32*T1^7*T2^6 + 16*T1^8*T2^6 - 8*T1^3*T2^7 + 18*T1^4*T2^7 - 
     32*T1^5*T2^7 - 32*T1^6*T2^7 + 18*T1^7*T2^7 - 8*T1^8*T2^7 + 2*T1^4*T2^8 - 
     8*T1^5*T2^8 + 16*T1^6*T2^8 - 8*T1^7*T2^8 + 2*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[10, 76] -> {-(((1 - T + T^2)*(2 - 5*T + 5*T^2 - 5*T^3 + 2*T^4))/T^3), 
   -((17 - 59*T1 + 100*T1^2 - 125*T1^3 + 100*T1^4 - 59*T1^5 + 17*T1^6 - 
      59*T2 + 146*T1*T2 - 143*T1^2*T2 + 87*T1^3*T2 + 87*T1^4*T2 - 
      143*T1^5*T2 + 146*T1^6*T2 - 59*T1^7*T2 + 100*T2^2 - 143*T1*T2^2 - 
      35*T1^2*T2^2 + 168*T1^3*T2^2 - 381*T1^4*T2^2 + 168*T1^5*T2^2 - 
      35*T1^6*T2^2 - 143*T1^7*T2^2 + 100*T1^8*T2^2 - 125*T2^3 + 87*T1*T2^3 + 
      168*T1^2*T2^3 - 144*T1^3*T2^3 + 232*T1^4*T2^3 + 232*T1^5*T2^3 - 
      144*T1^6*T2^3 + 168*T1^7*T2^3 + 87*T1^8*T2^3 - 125*T1^9*T2^3 + 
      100*T2^4 + 87*T1*T2^4 - 381*T1^2*T2^4 + 232*T1^3*T2^4 - 345*T1^4*T2^4 - 
      103*T1^5*T2^4 - 345*T1^6*T2^4 + 232*T1^7*T2^4 - 381*T1^8*T2^4 + 
      87*T1^9*T2^4 + 100*T1^10*T2^4 - 59*T2^5 - 143*T1*T2^5 + 168*T1^2*T2^5 + 
      232*T1^3*T2^5 - 103*T1^4*T2^5 + 378*T1^5*T2^5 + 378*T1^6*T2^5 - 
      103*T1^7*T2^5 + 232*T1^8*T2^5 + 168*T1^9*T2^5 - 143*T1^10*T2^5 - 
      59*T1^11*T2^5 + 17*T2^6 + 146*T1*T2^6 - 35*T1^2*T2^6 - 144*T1^3*T2^6 - 
      345*T1^4*T2^6 + 378*T1^5*T2^6 - 1068*T1^6*T2^6 + 378*T1^7*T2^6 - 
      345*T1^8*T2^6 - 144*T1^9*T2^6 - 35*T1^10*T2^6 + 146*T1^11*T2^6 + 
      17*T1^12*T2^6 - 59*T1*T2^7 - 143*T1^2*T2^7 + 168*T1^3*T2^7 + 
      232*T1^4*T2^7 - 103*T1^5*T2^7 + 378*T1^6*T2^7 + 378*T1^7*T2^7 - 
      103*T1^8*T2^7 + 232*T1^9*T2^7 + 168*T1^10*T2^7 - 143*T1^11*T2^7 - 
      59*T1^12*T2^7 + 100*T1^2*T2^8 + 87*T1^3*T2^8 - 381*T1^4*T2^8 + 
      232*T1^5*T2^8 - 345*T1^6*T2^8 - 103*T1^7*T2^8 - 345*T1^8*T2^8 + 
      232*T1^9*T2^8 - 381*T1^10*T2^8 + 87*T1^11*T2^8 + 100*T1^12*T2^8 - 
      125*T1^3*T2^9 + 87*T1^4*T2^9 + 168*T1^5*T2^9 - 144*T1^6*T2^9 + 
      232*T1^7*T2^9 + 232*T1^8*T2^9 - 144*T1^9*T2^9 + 168*T1^10*T2^9 + 
      87*T1^11*T2^9 - 125*T1^12*T2^9 + 100*T1^4*T2^10 - 143*T1^5*T2^10 - 
      35*T1^6*T2^10 + 168*T1^7*T2^10 - 381*T1^8*T2^10 + 168*T1^9*T2^10 - 
      35*T1^10*T2^10 - 143*T1^11*T2^10 + 100*T1^12*T2^10 - 59*T1^5*T2^11 + 
      146*T1^6*T2^11 - 143*T1^7*T2^11 + 87*T1^8*T2^11 + 87*T1^9*T2^11 - 
      143*T1^10*T2^11 + 146*T1^11*T2^11 - 59*T1^12*T2^11 + 17*T1^6*T2^12 - 
      59*T1^7*T2^12 + 100*T1^8*T2^12 - 125*T1^9*T2^12 + 100*T1^10*T2^12 - 
      59*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[10, 77] -> {((1 - T + T^2)^2*(2 - 3*T + 2*T^2))/T^3, 
   (9 - 31*T1 + 62*T1^2 - 75*T1^3 + 62*T1^4 - 31*T1^5 + 9*T1^6 - 31*T2 + 
     76*T1*T2 - 107*T1^2*T2 + 45*T1^3*T2 + 45*T1^4*T2 - 107*T1^5*T2 + 
     76*T1^6*T2 - 31*T1^7*T2 + 62*T2^2 - 107*T1*T2^2 + 118*T1^2*T2^2 + 
     20*T1^3*T2^2 - 62*T1^4*T2^2 + 20*T1^5*T2^2 + 118*T1^6*T2^2 - 
     107*T1^7*T2^2 + 62*T1^8*T2^2 - 75*T2^3 + 45*T1*T2^3 + 20*T1^2*T2^3 - 
     224*T1^3*T2^3 + 85*T1^4*T2^3 + 85*T1^5*T2^3 - 224*T1^6*T2^3 + 
     20*T1^7*T2^3 + 45*T1^8*T2^3 - 75*T1^9*T2^3 + 62*T2^4 + 45*T1*T2^4 - 
     62*T1^2*T2^4 + 85*T1^3*T2^4 + 398*T1^4*T2^4 - 532*T1^5*T2^4 + 
     398*T1^6*T2^4 + 85*T1^7*T2^4 - 62*T1^8*T2^4 + 45*T1^9*T2^4 + 
     62*T1^10*T2^4 - 31*T2^5 - 107*T1*T2^5 + 20*T1^2*T2^5 + 85*T1^3*T2^5 - 
     532*T1^4*T2^5 + 206*T1^5*T2^5 + 206*T1^6*T2^5 - 532*T1^7*T2^5 + 
     85*T1^8*T2^5 + 20*T1^9*T2^5 - 107*T1^10*T2^5 - 31*T1^11*T2^5 + 9*T2^6 + 
     76*T1*T2^6 + 118*T1^2*T2^6 - 224*T1^3*T2^6 + 398*T1^4*T2^6 + 
     206*T1^5*T2^6 - 372*T1^6*T2^6 + 206*T1^7*T2^6 + 398*T1^8*T2^6 - 
     224*T1^9*T2^6 + 118*T1^10*T2^6 + 76*T1^11*T2^6 + 9*T1^12*T2^6 - 
     31*T1*T2^7 - 107*T1^2*T2^7 + 20*T1^3*T2^7 + 85*T1^4*T2^7 - 
     532*T1^5*T2^7 + 206*T1^6*T2^7 + 206*T1^7*T2^7 - 532*T1^8*T2^7 + 
     85*T1^9*T2^7 + 20*T1^10*T2^7 - 107*T1^11*T2^7 - 31*T1^12*T2^7 + 
     62*T1^2*T2^8 + 45*T1^3*T2^8 - 62*T1^4*T2^8 + 85*T1^5*T2^8 + 
     398*T1^6*T2^8 - 532*T1^7*T2^8 + 398*T1^8*T2^8 + 85*T1^9*T2^8 - 
     62*T1^10*T2^8 + 45*T1^11*T2^8 + 62*T1^12*T2^8 - 75*T1^3*T2^9 + 
     45*T1^4*T2^9 + 20*T1^5*T2^9 - 224*T1^6*T2^9 + 85*T1^7*T2^9 + 
     85*T1^8*T2^9 - 224*T1^9*T2^9 + 20*T1^10*T2^9 + 45*T1^11*T2^9 - 
     75*T1^12*T2^9 + 62*T1^4*T2^10 - 107*T1^5*T2^10 + 118*T1^6*T2^10 + 
     20*T1^7*T2^10 - 62*T1^8*T2^10 + 20*T1^9*T2^10 + 118*T1^10*T2^10 - 
     107*T1^11*T2^10 + 62*T1^12*T2^10 - 31*T1^5*T2^11 + 76*T1^6*T2^11 - 
     107*T1^7*T2^11 + 45*T1^8*T2^11 + 45*T1^9*T2^11 - 107*T1^10*T2^11 + 
     76*T1^11*T2^11 - 31*T1^12*T2^11 + 9*T1^6*T2^12 - 31*T1^7*T2^12 + 
     62*T1^8*T2^12 - 75*T1^9*T2^12 + 62*T1^10*T2^12 - 31*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, Knot[10, 78] -> 
  {-(((1 - T + T^2)*(1 - 6*T + 9*T^2 - 6*T^3 + T^4))/T^3), 
   (2 - 14*T1 + 32*T1^2 - 42*T1^3 + 32*T1^4 - 14*T1^5 + 2*T1^6 - 14*T2 + 
     84*T1*T2 - 126*T1^2*T2 + 70*T1^3*T2 + 70*T1^4*T2 - 126*T1^5*T2 + 
     84*T1^6*T2 - 14*T1^7*T2 + 32*T2^2 - 126*T1*T2^2 - 121*T1^2*T2^2 + 
     616*T1^3*T2^2 - 957*T1^4*T2^2 + 616*T1^5*T2^2 - 121*T1^6*T2^2 - 
     126*T1^7*T2^2 + 32*T1^8*T2^2 - 42*T2^3 + 70*T1*T2^3 + 616*T1^2*T2^3 - 
     1098*T1^3*T2^3 + 693*T1^4*T2^3 + 693*T1^5*T2^3 - 1098*T1^6*T2^3 + 
     616*T1^7*T2^3 + 70*T1^8*T2^3 - 42*T1^9*T2^3 + 32*T2^4 + 70*T1*T2^4 - 
     957*T1^2*T2^4 + 693*T1^3*T2^4 + 583*T1^4*T2^4 - 1825*T1^5*T2^4 + 
     583*T1^6*T2^4 + 693*T1^7*T2^4 - 957*T1^8*T2^4 + 70*T1^9*T2^4 + 
     32*T1^10*T2^4 - 14*T2^5 - 126*T1*T2^5 + 616*T1^2*T2^5 + 693*T1^3*T2^5 - 
     1825*T1^4*T2^5 + 1392*T1^5*T2^5 + 1392*T1^6*T2^5 - 1825*T1^7*T2^5 + 
     693*T1^8*T2^5 + 616*T1^9*T2^5 - 126*T1^10*T2^5 - 14*T1^11*T2^5 + 
     2*T2^6 + 84*T1*T2^6 - 121*T1^2*T2^6 - 1098*T1^3*T2^6 + 583*T1^4*T2^6 + 
     1392*T1^5*T2^6 - 3360*T1^6*T2^6 + 1392*T1^7*T2^6 + 583*T1^8*T2^6 - 
     1098*T1^9*T2^6 - 121*T1^10*T2^6 + 84*T1^11*T2^6 + 2*T1^12*T2^6 - 
     14*T1*T2^7 - 126*T1^2*T2^7 + 616*T1^3*T2^7 + 693*T1^4*T2^7 - 
     1825*T1^5*T2^7 + 1392*T1^6*T2^7 + 1392*T1^7*T2^7 - 1825*T1^8*T2^7 + 
     693*T1^9*T2^7 + 616*T1^10*T2^7 - 126*T1^11*T2^7 - 14*T1^12*T2^7 + 
     32*T1^2*T2^8 + 70*T1^3*T2^8 - 957*T1^4*T2^8 + 693*T1^5*T2^8 + 
     583*T1^6*T2^8 - 1825*T1^7*T2^8 + 583*T1^8*T2^8 + 693*T1^9*T2^8 - 
     957*T1^10*T2^8 + 70*T1^11*T2^8 + 32*T1^12*T2^8 - 42*T1^3*T2^9 + 
     70*T1^4*T2^9 + 616*T1^5*T2^9 - 1098*T1^6*T2^9 + 693*T1^7*T2^9 + 
     693*T1^8*T2^9 - 1098*T1^9*T2^9 + 616*T1^10*T2^9 + 70*T1^11*T2^9 - 
     42*T1^12*T2^9 + 32*T1^4*T2^10 - 126*T1^5*T2^10 - 121*T1^6*T2^10 + 
     616*T1^7*T2^10 - 957*T1^8*T2^10 + 616*T1^9*T2^10 - 121*T1^10*T2^10 - 
     126*T1^11*T2^10 + 32*T1^12*T2^10 - 14*T1^5*T2^11 + 84*T1^6*T2^11 - 
     126*T1^7*T2^11 + 70*T1^8*T2^11 + 70*T1^9*T2^11 - 126*T1^10*T2^11 + 
     84*T1^11*T2^11 - 14*T1^12*T2^11 + 2*T1^6*T2^12 - 14*T1^7*T2^12 + 
     32*T1^8*T2^12 - 42*T1^9*T2^12 + 32*T1^10*T2^12 - 14*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   0}, Knot[10, 80] -> {(3 - 9*T + 15*T^2 - 17*T^3 + 15*T^4 - 9*T^5 + 3*T^6)/
    T^3, -((84 - 246*T1 + 404*T1^2 - 454*T1^3 + 404*T1^4 - 246*T1^5 + 
      84*T1^6 - 246*T2 + 482*T1*T2 - 477*T1^2*T2 + 155*T1^3*T2 + 
      155*T1^4*T2 - 477*T1^5*T2 + 482*T1^6*T2 - 246*T1^7*T2 + 404*T2^2 - 
      477*T1*T2^2 + 204*T1^2*T2^2 + 225*T1^3*T2^2 - 198*T1^4*T2^2 + 
      225*T1^5*T2^2 + 204*T1^6*T2^2 - 477*T1^7*T2^2 + 404*T1^8*T2^2 - 
      454*T2^3 + 155*T1*T2^3 + 225*T1^2*T2^3 - 436*T1^3*T2^3 - 19*T1^4*T2^3 - 
      19*T1^5*T2^3 - 436*T1^6*T2^3 + 225*T1^7*T2^3 + 155*T1^8*T2^3 - 
      454*T1^9*T2^3 + 404*T2^4 + 155*T1*T2^4 - 198*T1^2*T2^4 - 19*T1^3*T2^4 + 
      662*T1^4*T2^4 - 328*T1^5*T2^4 + 662*T1^6*T2^4 - 19*T1^7*T2^4 - 
      198*T1^8*T2^4 + 155*T1^9*T2^4 + 404*T1^10*T2^4 - 246*T2^5 - 
      477*T1*T2^5 + 225*T1^2*T2^5 - 19*T1^3*T2^5 - 328*T1^4*T2^5 - 
      244*T1^5*T2^5 - 244*T1^6*T2^5 - 328*T1^7*T2^5 - 19*T1^8*T2^5 + 
      225*T1^9*T2^5 - 477*T1^10*T2^5 - 246*T1^11*T2^5 + 84*T2^6 + 
      482*T1*T2^6 + 204*T1^2*T2^6 - 436*T1^3*T2^6 + 662*T1^4*T2^6 - 
      244*T1^5*T2^6 + 864*T1^6*T2^6 - 244*T1^7*T2^6 + 662*T1^8*T2^6 - 
      436*T1^9*T2^6 + 204*T1^10*T2^6 + 482*T1^11*T2^6 + 84*T1^12*T2^6 - 
      246*T1*T2^7 - 477*T1^2*T2^7 + 225*T1^3*T2^7 - 19*T1^4*T2^7 - 
      328*T1^5*T2^7 - 244*T1^6*T2^7 - 244*T1^7*T2^7 - 328*T1^8*T2^7 - 
      19*T1^9*T2^7 + 225*T1^10*T2^7 - 477*T1^11*T2^7 - 246*T1^12*T2^7 + 
      404*T1^2*T2^8 + 155*T1^3*T2^8 - 198*T1^4*T2^8 - 19*T1^5*T2^8 + 
      662*T1^6*T2^8 - 328*T1^7*T2^8 + 662*T1^8*T2^8 - 19*T1^9*T2^8 - 
      198*T1^10*T2^8 + 155*T1^11*T2^8 + 404*T1^12*T2^8 - 454*T1^3*T2^9 + 
      155*T1^4*T2^9 + 225*T1^5*T2^9 - 436*T1^6*T2^9 - 19*T1^7*T2^9 - 
      19*T1^8*T2^9 - 436*T1^9*T2^9 + 225*T1^10*T2^9 + 155*T1^11*T2^9 - 
      454*T1^12*T2^9 + 404*T1^4*T2^10 - 477*T1^5*T2^10 + 204*T1^6*T2^10 + 
      225*T1^7*T2^10 - 198*T1^8*T2^10 + 225*T1^9*T2^10 + 204*T1^10*T2^10 - 
      477*T1^11*T2^10 + 404*T1^12*T2^10 - 246*T1^5*T2^11 + 482*T1^6*T2^11 - 
      477*T1^7*T2^11 + 155*T1^8*T2^11 + 155*T1^9*T2^11 - 477*T1^10*T2^11 + 
      482*T1^11*T2^11 - 246*T1^12*T2^11 + 84*T1^6*T2^12 - 246*T1^7*T2^12 + 
      404*T1^8*T2^12 - 454*T1^9*T2^12 + 404*T1^10*T2^12 - 246*T1^11*T2^12 + 
      84*T1^12*T2^12)/(T1^6*T2^6))}, Knot[10, 81] -> 
  {-((1 - 8*T + 20*T^2 - 27*T^3 + 20*T^4 - 8*T^5 + T^6)/T^3), 0}, 
 Knot[10, 82] -> {-(((1 - T + T^2)^2*(1 - 2*T + T^2 - 2*T^3 + T^4))/T^4), 
   (1 - 4*T1 + 8*T1^2 - 12*T1^3 + 13*T1^4 - 12*T1^5 + 8*T1^6 - 4*T1^7 + 
     T1^8 - 4*T2 + 12*T1*T2 - 16*T1^2*T2 + 16*T1^3*T2 - 4*T1^4*T2 - 
     4*T1^5*T2 + 16*T1^6*T2 - 16*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 8*T2^2 - 
     16*T1*T2^2 + 8*T1^2*T2^2 + T1^3*T2^2 - 29*T1^4*T2^2 + 24*T1^5*T2^2 - 
     29*T1^6*T2^2 + T1^7*T2^2 + 8*T1^8*T2^2 - 16*T1^9*T2^2 + 8*T1^10*T2^2 - 
     12*T2^3 + 16*T1*T2^3 + T1^2*T2^3 - 2*T1^3*T2^3 + 37*T1^4*T2^3 + 
     3*T1^5*T2^3 + 3*T1^6*T2^3 + 37*T1^7*T2^3 - 2*T1^8*T2^3 + T1^9*T2^3 + 
     16*T1^10*T2^3 - 12*T1^11*T2^3 + 13*T2^4 - 4*T1*T2^4 - 29*T1^2*T2^4 + 
     37*T1^3*T2^4 - 101*T1^4*T2^4 + 37*T1^5*T2^4 - 73*T1^6*T2^4 + 
     37*T1^7*T2^4 - 101*T1^8*T2^4 + 37*T1^9*T2^4 - 29*T1^10*T2^4 - 
     4*T1^11*T2^4 + 13*T1^12*T2^4 - 12*T2^5 - 4*T1*T2^5 + 24*T1^2*T2^5 + 
     3*T1^3*T2^5 + 37*T1^4*T2^5 + 68*T1^5*T2^5 + 8*T1^6*T2^5 + 8*T1^7*T2^5 + 
     68*T1^8*T2^5 + 37*T1^9*T2^5 + 3*T1^10*T2^5 + 24*T1^11*T2^5 - 
     4*T1^12*T2^5 - 12*T1^13*T2^5 + 8*T2^6 + 16*T1*T2^6 - 29*T1^2*T2^6 + 
     3*T1^3*T2^6 - 73*T1^4*T2^6 + 8*T1^5*T2^6 - 154*T1^6*T2^6 + 
     138*T1^7*T2^6 - 154*T1^8*T2^6 + 8*T1^9*T2^6 - 73*T1^10*T2^6 + 
     3*T1^11*T2^6 - 29*T1^12*T2^6 + 16*T1^13*T2^6 + 8*T1^14*T2^6 - 4*T2^7 - 
     16*T1*T2^7 + T1^2*T2^7 + 37*T1^3*T2^7 + 37*T1^4*T2^7 + 8*T1^5*T2^7 + 
     138*T1^6*T2^7 - 36*T1^7*T2^7 - 36*T1^8*T2^7 + 138*T1^9*T2^7 + 
     8*T1^10*T2^7 + 37*T1^11*T2^7 + 37*T1^12*T2^7 + T1^13*T2^7 - 
     16*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 8*T1^2*T2^8 - 
     2*T1^3*T2^8 - 101*T1^4*T2^8 + 68*T1^5*T2^8 - 154*T1^6*T2^8 - 
     36*T1^7*T2^8 + 72*T1^8*T2^8 - 36*T1^9*T2^8 - 154*T1^10*T2^8 + 
     68*T1^11*T2^8 - 101*T1^12*T2^8 - 2*T1^13*T2^8 + 8*T1^14*T2^8 + 
     12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 16*T1^2*T2^9 + T1^3*T2^9 + 
     37*T1^4*T2^9 + 37*T1^5*T2^9 + 8*T1^6*T2^9 + 138*T1^7*T2^9 - 
     36*T1^8*T2^9 - 36*T1^9*T2^9 + 138*T1^10*T2^9 + 8*T1^11*T2^9 + 
     37*T1^12*T2^9 + 37*T1^13*T2^9 + T1^14*T2^9 - 16*T1^15*T2^9 - 
     4*T1^16*T2^9 + 8*T1^2*T2^10 + 16*T1^3*T2^10 - 29*T1^4*T2^10 + 
     3*T1^5*T2^10 - 73*T1^6*T2^10 + 8*T1^7*T2^10 - 154*T1^8*T2^10 + 
     138*T1^9*T2^10 - 154*T1^10*T2^10 + 8*T1^11*T2^10 - 73*T1^12*T2^10 + 
     3*T1^13*T2^10 - 29*T1^14*T2^10 + 16*T1^15*T2^10 + 8*T1^16*T2^10 - 
     12*T1^3*T2^11 - 4*T1^4*T2^11 + 24*T1^5*T2^11 + 3*T1^6*T2^11 + 
     37*T1^7*T2^11 + 68*T1^8*T2^11 + 8*T1^9*T2^11 + 8*T1^10*T2^11 + 
     68*T1^11*T2^11 + 37*T1^12*T2^11 + 3*T1^13*T2^11 + 24*T1^14*T2^11 - 
     4*T1^15*T2^11 - 12*T1^16*T2^11 + 13*T1^4*T2^12 - 4*T1^5*T2^12 - 
     29*T1^6*T2^12 + 37*T1^7*T2^12 - 101*T1^8*T2^12 + 37*T1^9*T2^12 - 
     73*T1^10*T2^12 + 37*T1^11*T2^12 - 101*T1^12*T2^12 + 37*T1^13*T2^12 - 
     29*T1^14*T2^12 - 4*T1^15*T2^12 + 13*T1^16*T2^12 - 12*T1^5*T2^13 + 
     16*T1^6*T2^13 + T1^7*T2^13 - 2*T1^8*T2^13 + 37*T1^9*T2^13 + 
     3*T1^10*T2^13 + 3*T1^11*T2^13 + 37*T1^12*T2^13 - 2*T1^13*T2^13 + 
     T1^14*T2^13 + 16*T1^15*T2^13 - 12*T1^16*T2^13 + 8*T1^6*T2^14 - 
     16*T1^7*T2^14 + 8*T1^8*T2^14 + T1^9*T2^14 - 29*T1^10*T2^14 + 
     24*T1^11*T2^14 - 29*T1^12*T2^14 + T1^13*T2^14 + 8*T1^14*T2^14 - 
     16*T1^15*T2^14 + 8*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 
     16*T1^9*T2^15 + 16*T1^10*T2^15 - 4*T1^11*T2^15 - 4*T1^12*T2^15 + 
     16*T1^13*T2^15 - 16*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + 
     T1^8*T2^16 - 4*T1^9*T2^16 + 8*T1^10*T2^16 - 12*T1^11*T2^16 + 
     13*T1^12*T2^16 - 12*T1^13*T2^16 + 8*T1^14*T2^16 - 4*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, Knot[10, 83] -> 
  {(2 - 9*T + 19*T^2 - 23*T^3 + 19*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (9 - 40*T1 + 84*T1^2 - 101*T1^3 + 84*T1^4 - 40*T1^5 + 9*T1^6 - 40*T2 + 
     138*T1*T2 - 196*T1^2*T2 + 76*T1^3*T2 + 76*T1^4*T2 - 196*T1^5*T2 + 
     138*T1^6*T2 - 40*T1^7*T2 + 84*T2^2 - 196*T1*T2^2 + 67*T1^2*T2^2 + 
     382*T1^3*T2^2 - 491*T1^4*T2^2 + 382*T1^5*T2^2 + 67*T1^6*T2^2 - 
     196*T1^7*T2^2 + 84*T1^8*T2^2 - 101*T2^3 + 76*T1*T2^3 + 382*T1^2*T2^3 - 
     880*T1^3*T2^3 + 289*T1^4*T2^3 + 289*T1^5*T2^3 - 880*T1^6*T2^3 + 
     382*T1^7*T2^3 + 76*T1^8*T2^3 - 101*T1^9*T2^3 + 84*T2^4 + 76*T1*T2^4 - 
     491*T1^2*T2^4 + 289*T1^3*T2^4 + 1189*T1^4*T2^4 - 1455*T1^5*T2^4 + 
     1189*T1^6*T2^4 + 289*T1^7*T2^4 - 491*T1^8*T2^4 + 76*T1^9*T2^4 + 
     84*T1^10*T2^4 - 40*T2^5 - 196*T1*T2^5 + 382*T1^2*T2^5 + 289*T1^3*T2^5 - 
     1455*T1^4*T2^5 + 446*T1^5*T2^5 + 446*T1^6*T2^5 - 1455*T1^7*T2^5 + 
     289*T1^8*T2^5 + 382*T1^9*T2^5 - 196*T1^10*T2^5 - 40*T1^11*T2^5 + 
     9*T2^6 + 138*T1*T2^6 + 67*T1^2*T2^6 - 880*T1^3*T2^6 + 1189*T1^4*T2^6 + 
     446*T1^5*T2^6 - 672*T1^6*T2^6 + 446*T1^7*T2^6 + 1189*T1^8*T2^6 - 
     880*T1^9*T2^6 + 67*T1^10*T2^6 + 138*T1^11*T2^6 + 9*T1^12*T2^6 - 
     40*T1*T2^7 - 196*T1^2*T2^7 + 382*T1^3*T2^7 + 289*T1^4*T2^7 - 
     1455*T1^5*T2^7 + 446*T1^6*T2^7 + 446*T1^7*T2^7 - 1455*T1^8*T2^7 + 
     289*T1^9*T2^7 + 382*T1^10*T2^7 - 196*T1^11*T2^7 - 40*T1^12*T2^7 + 
     84*T1^2*T2^8 + 76*T1^3*T2^8 - 491*T1^4*T2^8 + 289*T1^5*T2^8 + 
     1189*T1^6*T2^8 - 1455*T1^7*T2^8 + 1189*T1^8*T2^8 + 289*T1^9*T2^8 - 
     491*T1^10*T2^8 + 76*T1^11*T2^8 + 84*T1^12*T2^8 - 101*T1^3*T2^9 + 
     76*T1^4*T2^9 + 382*T1^5*T2^9 - 880*T1^6*T2^9 + 289*T1^7*T2^9 + 
     289*T1^8*T2^9 - 880*T1^9*T2^9 + 382*T1^10*T2^9 + 76*T1^11*T2^9 - 
     101*T1^12*T2^9 + 84*T1^4*T2^10 - 196*T1^5*T2^10 + 67*T1^6*T2^10 + 
     382*T1^7*T2^10 - 491*T1^8*T2^10 + 382*T1^9*T2^10 + 67*T1^10*T2^10 - 
     196*T1^11*T2^10 + 84*T1^12*T2^10 - 40*T1^5*T2^11 + 138*T1^6*T2^11 - 
     196*T1^7*T2^11 + 76*T1^8*T2^11 + 76*T1^9*T2^11 - 196*T1^10*T2^11 + 
     138*T1^11*T2^11 - 40*T1^12*T2^11 + 9*T1^6*T2^12 - 40*T1^7*T2^12 + 
     84*T1^8*T2^12 - 101*T1^9*T2^12 + 84*T1^10*T2^12 - 40*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, Knot[10, 84] -> 
  {((1 - T + T^2)*(2 - 7*T + 11*T^2 - 7*T^3 + 2*T^4))/T^3, 
   (9 - 40*T1 + 88*T1^2 - 109*T1^3 + 88*T1^4 - 40*T1^5 + 9*T1^6 - 40*T2 + 
     138*T1*T2 - 214*T1^2*T2 + 94*T1^3*T2 + 94*T1^4*T2 - 214*T1^5*T2 + 
     138*T1^6*T2 - 40*T1^7*T2 + 88*T2^2 - 214*T1*T2^2 + 151*T1^2*T2^2 + 
     311*T1^3*T2^2 - 483*T1^4*T2^2 + 311*T1^5*T2^2 + 151*T1^6*T2^2 - 
     214*T1^7*T2^2 + 88*T1^8*T2^2 - 109*T2^3 + 94*T1*T2^3 + 311*T1^2*T2^3 - 
     942*T1^3*T2^3 + 390*T1^4*T2^3 + 390*T1^5*T2^3 - 942*T1^6*T2^3 + 
     311*T1^7*T2^3 + 94*T1^8*T2^3 - 109*T1^9*T2^3 + 88*T2^4 + 94*T1*T2^4 - 
     483*T1^2*T2^4 + 390*T1^3*T2^4 + 1349*T1^4*T2^4 - 1895*T1^5*T2^4 + 
     1349*T1^6*T2^4 + 390*T1^7*T2^4 - 483*T1^8*T2^4 + 94*T1^9*T2^4 + 
     88*T1^10*T2^4 - 40*T2^5 - 214*T1*T2^5 + 311*T1^2*T2^5 + 390*T1^3*T2^5 - 
     1895*T1^4*T2^5 + 740*T1^5*T2^5 + 740*T1^6*T2^5 - 1895*T1^7*T2^5 + 
     390*T1^8*T2^5 + 311*T1^9*T2^5 - 214*T1^10*T2^5 - 40*T1^11*T2^5 + 
     9*T2^6 + 138*T1*T2^6 + 151*T1^2*T2^6 - 942*T1^3*T2^6 + 1349*T1^4*T2^6 + 
     740*T1^5*T2^6 - 1296*T1^6*T2^6 + 740*T1^7*T2^6 + 1349*T1^8*T2^6 - 
     942*T1^9*T2^6 + 151*T1^10*T2^6 + 138*T1^11*T2^6 + 9*T1^12*T2^6 - 
     40*T1*T2^7 - 214*T1^2*T2^7 + 311*T1^3*T2^7 + 390*T1^4*T2^7 - 
     1895*T1^5*T2^7 + 740*T1^6*T2^7 + 740*T1^7*T2^7 - 1895*T1^8*T2^7 + 
     390*T1^9*T2^7 + 311*T1^10*T2^7 - 214*T1^11*T2^7 - 40*T1^12*T2^7 + 
     88*T1^2*T2^8 + 94*T1^3*T2^8 - 483*T1^4*T2^8 + 390*T1^5*T2^8 + 
     1349*T1^6*T2^8 - 1895*T1^7*T2^8 + 1349*T1^8*T2^8 + 390*T1^9*T2^8 - 
     483*T1^10*T2^8 + 94*T1^11*T2^8 + 88*T1^12*T2^8 - 109*T1^3*T2^9 + 
     94*T1^4*T2^9 + 311*T1^5*T2^9 - 942*T1^6*T2^9 + 390*T1^7*T2^9 + 
     390*T1^8*T2^9 - 942*T1^9*T2^9 + 311*T1^10*T2^9 + 94*T1^11*T2^9 - 
     109*T1^12*T2^9 + 88*T1^4*T2^10 - 214*T1^5*T2^10 + 151*T1^6*T2^10 + 
     311*T1^7*T2^10 - 483*T1^8*T2^10 + 311*T1^9*T2^10 + 151*T1^10*T2^10 - 
     214*T1^11*T2^10 + 88*T1^12*T2^10 - 40*T1^5*T2^11 + 138*T1^6*T2^11 - 
     214*T1^7*T2^11 + 94*T1^8*T2^11 + 94*T1^9*T2^11 - 214*T1^10*T2^11 + 
     138*T1^11*T2^11 - 40*T1^12*T2^11 + 9*T1^6*T2^12 - 40*T1^7*T2^12 + 
     88*T1^8*T2^12 - 109*T1^9*T2^12 + 88*T1^10*T2^12 - 40*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, 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 + 24*T1*T2 - 32*T1^2*T2 + 16*T1^3*T2 - 8*T1^4*T2 - 
      8*T1^5*T2 + 16*T1^6*T2 - 32*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 
      16*T2^2 - 32*T1*T2^2 + 14*T1^2*T2^2 + 39*T1^3*T2^2 - 29*T1^4*T2^2 + 
      46*T1^5*T2^2 - 29*T1^6*T2^2 + 39*T1^7*T2^2 + 14*T1^8*T2^2 - 
      32*T1^9*T2^2 + 16*T1^10*T2^2 - 20*T2^3 + 16*T1*T2^3 + 39*T1^2*T2^3 - 
      92*T1^3*T2^3 + 8*T1^4*T2^3 - 27*T1^5*T2^3 - 27*T1^6*T2^3 + 
      8*T1^7*T2^3 - 92*T1^8*T2^3 + 39*T1^9*T2^3 + 16*T1^10*T2^3 - 
      20*T1^11*T2^3 + 22*T2^4 - 8*T1*T2^4 - 29*T1^2*T2^4 + 8*T1^3*T2^4 + 
      153*T1^4*T2^4 - 89*T1^5*T2^4 + 159*T1^6*T2^4 - 89*T1^7*T2^4 + 
      153*T1^8*T2^4 + 8*T1^9*T2^4 - 29*T1^10*T2^4 - 8*T1^11*T2^4 + 
      22*T1^12*T2^4 - 20*T2^5 - 8*T1*T2^5 + 46*T1^2*T2^5 - 27*T1^3*T2^5 - 
      89*T1^4*T2^5 - 56*T1^5*T2^5 - 43*T1^6*T2^5 - 43*T1^7*T2^5 - 
      56*T1^8*T2^5 - 89*T1^9*T2^5 - 27*T1^10*T2^5 + 46*T1^11*T2^5 - 
      8*T1^12*T2^5 - 20*T1^13*T2^5 + 16*T2^6 + 16*T1*T2^6 - 29*T1^2*T2^6 - 
      27*T1^3*T2^6 + 159*T1^4*T2^6 - 43*T1^5*T2^6 + 205*T1^6*T2^6 - 
      107*T1^7*T2^6 + 205*T1^8*T2^6 - 43*T1^9*T2^6 + 159*T1^10*T2^6 - 
      27*T1^11*T2^6 - 29*T1^12*T2^6 + 16*T1^13*T2^6 + 16*T1^14*T2^6 - 
      8*T2^7 - 32*T1*T2^7 + 39*T1^2*T2^7 + 8*T1^3*T2^7 - 89*T1^4*T2^7 - 
      43*T1^5*T2^7 - 107*T1^6*T2^7 - 38*T1^7*T2^7 - 38*T1^8*T2^7 - 
      107*T1^9*T2^7 - 43*T1^10*T2^7 - 89*T1^11*T2^7 + 8*T1^12*T2^7 + 
      39*T1^13*T2^7 - 32*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 24*T1*T2^8 + 
      14*T1^2*T2^8 - 92*T1^3*T2^8 + 153*T1^4*T2^8 - 56*T1^5*T2^8 + 
      205*T1^6*T2^8 - 38*T1^7*T2^8 + 132*T1^8*T2^8 - 38*T1^9*T2^8 + 
      205*T1^10*T2^8 - 56*T1^11*T2^8 + 153*T1^12*T2^8 - 92*T1^13*T2^8 + 
      14*T1^14*T2^8 + 24*T1^15*T2^8 + 2*T1^16*T2^8 - 8*T1*T2^9 - 
      32*T1^2*T2^9 + 39*T1^3*T2^9 + 8*T1^4*T2^9 - 89*T1^5*T2^9 - 
      43*T1^6*T2^9 - 107*T1^7*T2^9 - 38*T1^8*T2^9 - 38*T1^9*T2^9 - 
      107*T1^10*T2^9 - 43*T1^11*T2^9 - 89*T1^12*T2^9 + 8*T1^13*T2^9 + 
      39*T1^14*T2^9 - 32*T1^15*T2^9 - 8*T1^16*T2^9 + 16*T1^2*T2^10 + 
      16*T1^3*T2^10 - 29*T1^4*T2^10 - 27*T1^5*T2^10 + 159*T1^6*T2^10 - 
      43*T1^7*T2^10 + 205*T1^8*T2^10 - 107*T1^9*T2^10 + 205*T1^10*T2^10 - 
      43*T1^11*T2^10 + 159*T1^12*T2^10 - 27*T1^13*T2^10 - 29*T1^14*T2^10 + 
      16*T1^15*T2^10 + 16*T1^16*T2^10 - 20*T1^3*T2^11 - 8*T1^4*T2^11 + 
      46*T1^5*T2^11 - 27*T1^6*T2^11 - 89*T1^7*T2^11 - 56*T1^8*T2^11 - 
      43*T1^9*T2^11 - 43*T1^10*T2^11 - 56*T1^11*T2^11 - 89*T1^12*T2^11 - 
      27*T1^13*T2^11 + 46*T1^14*T2^11 - 8*T1^15*T2^11 - 20*T1^16*T2^11 + 
      22*T1^4*T2^12 - 8*T1^5*T2^12 - 29*T1^6*T2^12 + 8*T1^7*T2^12 + 
      153*T1^8*T2^12 - 89*T1^9*T2^12 + 159*T1^10*T2^12 - 89*T1^11*T2^12 + 
      153*T1^12*T2^12 + 8*T1^13*T2^12 - 29*T1^14*T2^12 - 8*T1^15*T2^12 + 
      22*T1^16*T2^12 - 20*T1^5*T2^13 + 16*T1^6*T2^13 + 39*T1^7*T2^13 - 
      92*T1^8*T2^13 + 8*T1^9*T2^13 - 27*T1^10*T2^13 - 27*T1^11*T2^13 + 
      8*T1^12*T2^13 - 92*T1^13*T2^13 + 39*T1^14*T2^13 + 16*T1^15*T2^13 - 
      20*T1^16*T2^13 + 16*T1^6*T2^14 - 32*T1^7*T2^14 + 14*T1^8*T2^14 + 
      39*T1^9*T2^14 - 29*T1^10*T2^14 + 46*T1^11*T2^14 - 29*T1^12*T2^14 + 
      39*T1^13*T2^14 + 14*T1^14*T2^14 - 32*T1^15*T2^14 + 16*T1^16*T2^14 - 
      8*T1^7*T2^15 + 24*T1^8*T2^15 - 32*T1^9*T2^15 + 16*T1^10*T2^15 - 
      8*T1^11*T2^15 - 8*T1^12*T2^15 + 16*T1^13*T2^15 - 32*T1^14*T2^15 + 
      24*T1^15*T2^15 - 8*T1^16*T2^15 + 2*T1^8*T2^16 - 8*T1^9*T2^16 + 
      16*T1^10*T2^16 - 20*T1^11*T2^16 + 22*T1^12*T2^16 - 20*T1^13*T2^16 + 
      16*T1^14*T2^16 - 8*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[10, 86] -> {-((2 - 9*T + 19*T^2 - 25*T^3 + 19*T^4 - 9*T^5 + 2*T^6)/
     T^3), -((1 - 4*T1 + 8*T1^2 - 11*T1^3 + 8*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 
      12*T1*T2 - 16*T1^2*T2 + 12*T1^3*T2 + 12*T1^4*T2 - 16*T1^5*T2 + 
      12*T1^6*T2 - 4*T1^7*T2 + 8*T2^2 - 16*T1*T2^2 + 14*T1^2*T2^2 - 
      15*T1^3*T2^2 - 16*T1^4*T2^2 - 15*T1^5*T2^2 + 14*T1^6*T2^2 - 
      16*T1^7*T2^2 + 8*T1^8*T2^2 - 11*T2^3 + 12*T1*T2^3 - 15*T1^2*T2^3 + 
      48*T1^3*T2^3 + 19*T1^4*T2^3 + 19*T1^5*T2^3 + 48*T1^6*T2^3 - 
      15*T1^7*T2^3 + 12*T1^8*T2^3 - 11*T1^9*T2^3 + 8*T2^4 + 12*T1*T2^4 - 
      16*T1^2*T2^4 + 19*T1^3*T2^4 - 210*T1^4*T2^4 + 132*T1^5*T2^4 - 
      210*T1^6*T2^4 + 19*T1^7*T2^4 - 16*T1^8*T2^4 + 12*T1^9*T2^4 + 
      8*T1^10*T2^4 - 4*T2^5 - 16*T1*T2^5 - 15*T1^2*T2^5 + 19*T1^3*T2^5 + 
      132*T1^4*T2^5 + 82*T1^5*T2^5 + 82*T1^6*T2^5 + 132*T1^7*T2^5 + 
      19*T1^8*T2^5 - 15*T1^9*T2^5 - 16*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 
      12*T1*T2^6 + 14*T1^2*T2^6 + 48*T1^3*T2^6 - 210*T1^4*T2^6 + 
      82*T1^5*T2^6 - 360*T1^6*T2^6 + 82*T1^7*T2^6 - 210*T1^8*T2^6 + 
      48*T1^9*T2^6 + 14*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 
      16*T1^2*T2^7 - 15*T1^3*T2^7 + 19*T1^4*T2^7 + 132*T1^5*T2^7 + 
      82*T1^6*T2^7 + 82*T1^7*T2^7 + 132*T1^8*T2^7 + 19*T1^9*T2^7 - 
      15*T1^10*T2^7 - 16*T1^11*T2^7 - 4*T1^12*T2^7 + 8*T1^2*T2^8 + 
      12*T1^3*T2^8 - 16*T1^4*T2^8 + 19*T1^5*T2^8 - 210*T1^6*T2^8 + 
      132*T1^7*T2^8 - 210*T1^8*T2^8 + 19*T1^9*T2^8 - 16*T1^10*T2^8 + 
      12*T1^11*T2^8 + 8*T1^12*T2^8 - 11*T1^3*T2^9 + 12*T1^4*T2^9 - 
      15*T1^5*T2^9 + 48*T1^6*T2^9 + 19*T1^7*T2^9 + 19*T1^8*T2^9 + 
      48*T1^9*T2^9 - 15*T1^10*T2^9 + 12*T1^11*T2^9 - 11*T1^12*T2^9 + 
      8*T1^4*T2^10 - 16*T1^5*T2^10 + 14*T1^6*T2^10 - 15*T1^7*T2^10 - 
      16*T1^8*T2^10 - 15*T1^9*T2^10 + 14*T1^10*T2^10 - 16*T1^11*T2^10 + 
      8*T1^12*T2^10 - 4*T1^5*T2^11 + 12*T1^6*T2^11 - 16*T1^7*T2^11 + 
      12*T1^8*T2^11 + 12*T1^9*T2^11 - 16*T1^10*T2^11 + 12*T1^11*T2^11 - 
      4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 8*T1^8*T2^12 - 
      11*T1^9*T2^12 + 8*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[10, 87] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)^2)/T^3), 
   -((1 - 4*T1 + 8*T1^2 - 11*T1^3 + 8*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 
      12*T1*T2 - 16*T1^2*T2 + 12*T1^3*T2 + 12*T1^4*T2 - 16*T1^5*T2 + 
      12*T1^6*T2 - 4*T1^7*T2 + 8*T2^2 - 16*T1*T2^2 + 12*T1^2*T2^2 - 
      13*T1^3*T2^2 - 18*T1^4*T2^2 - 13*T1^5*T2^2 + 12*T1^6*T2^2 - 
      16*T1^7*T2^2 + 8*T1^8*T2^2 - 11*T2^3 + 12*T1*T2^3 - 13*T1^2*T2^3 + 
      62*T1^3*T2^3 + 9*T1^4*T2^3 + 9*T1^5*T2^3 + 62*T1^6*T2^3 - 
      13*T1^7*T2^3 + 12*T1^8*T2^3 - 11*T1^9*T2^3 + 8*T2^4 + 12*T1*T2^4 - 
      18*T1^2*T2^4 + 9*T1^3*T2^4 - 296*T1^4*T2^4 + 290*T1^5*T2^4 - 
      296*T1^6*T2^4 + 9*T1^7*T2^4 - 18*T1^8*T2^4 + 12*T1^9*T2^4 + 
      8*T1^10*T2^4 - 4*T2^5 - 16*T1*T2^5 - 13*T1^2*T2^5 + 9*T1^3*T2^5 + 
      290*T1^4*T2^5 - 32*T1^5*T2^5 - 32*T1^6*T2^5 + 290*T1^7*T2^5 + 
      9*T1^8*T2^5 - 13*T1^9*T2^5 - 16*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 
      12*T1*T2^6 + 12*T1^2*T2^6 + 62*T1^3*T2^6 - 296*T1^4*T2^6 - 
      32*T1^5*T2^6 - 72*T1^6*T2^6 - 32*T1^7*T2^6 - 296*T1^8*T2^6 + 
      62*T1^9*T2^6 + 12*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 
      16*T1^2*T2^7 - 13*T1^3*T2^7 + 9*T1^4*T2^7 + 290*T1^5*T2^7 - 
      32*T1^6*T2^7 - 32*T1^7*T2^7 + 290*T1^8*T2^7 + 9*T1^9*T2^7 - 
      13*T1^10*T2^7 - 16*T1^11*T2^7 - 4*T1^12*T2^7 + 8*T1^2*T2^8 + 
      12*T1^3*T2^8 - 18*T1^4*T2^8 + 9*T1^5*T2^8 - 296*T1^6*T2^8 + 
      290*T1^7*T2^8 - 296*T1^8*T2^8 + 9*T1^9*T2^8 - 18*T1^10*T2^8 + 
      12*T1^11*T2^8 + 8*T1^12*T2^8 - 11*T1^3*T2^9 + 12*T1^4*T2^9 - 
      13*T1^5*T2^9 + 62*T1^6*T2^9 + 9*T1^7*T2^9 + 9*T1^8*T2^9 + 
      62*T1^9*T2^9 - 13*T1^10*T2^9 + 12*T1^11*T2^9 - 11*T1^12*T2^9 + 
      8*T1^4*T2^10 - 16*T1^5*T2^10 + 12*T1^6*T2^10 - 13*T1^7*T2^10 - 
      18*T1^8*T2^10 - 13*T1^9*T2^10 + 12*T1^10*T2^10 - 16*T1^11*T2^10 + 
      8*T1^12*T2^10 - 4*T1^5*T2^11 + 12*T1^6*T2^11 - 16*T1^7*T2^11 + 
      12*T1^8*T2^11 + 12*T1^9*T2^11 - 16*T1^10*T2^11 + 12*T1^11*T2^11 - 
      4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 8*T1^8*T2^12 - 
      11*T1^9*T2^12 + 8*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[10, 88] -> 
  {-((1 - 8*T + 24*T^2 - 35*T^3 + 24*T^4 - 8*T^5 + T^6)/T^3), 0}, 
 Knot[10, 89] -> {(1 - 8*T + 24*T^2 - 33*T^3 + 24*T^4 - 8*T^5 + T^6)/T^3, 
   -((1 - 8*T1 + 24*T1^2 - 33*T1^3 + 24*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
      56*T1*T2 - 128*T1^2*T2 + 72*T1^3*T2 + 72*T1^4*T2 - 128*T1^5*T2 + 
      56*T1^6*T2 - 8*T1^7*T2 + 24*T2^2 - 128*T1*T2^2 + 88*T1^2*T2^2 + 
      550*T1^3*T2^2 - 956*T1^4*T2^2 + 550*T1^5*T2^2 + 88*T1^6*T2^2 - 
      128*T1^7*T2^2 + 24*T1^8*T2^2 - 33*T2^3 + 72*T1*T2^3 + 550*T1^2*T2^3 - 
      1994*T1^3*T2^3 + 1183*T1^4*T2^3 + 1183*T1^5*T2^3 - 1994*T1^6*T2^3 + 
      550*T1^7*T2^3 + 72*T1^8*T2^3 - 33*T1^9*T2^3 + 24*T2^4 + 72*T1*T2^4 - 
      956*T1^2*T2^4 + 1183*T1^3*T2^4 + 3492*T1^4*T2^4 - 6524*T1^5*T2^4 + 
      3492*T1^6*T2^4 + 1183*T1^7*T2^4 - 956*T1^8*T2^4 + 72*T1^9*T2^4 + 
      24*T1^10*T2^4 - 8*T2^5 - 128*T1*T2^5 + 550*T1^2*T2^5 + 1183*T1^3*T2^5 - 
      6524*T1^4*T2^5 + 4002*T1^5*T2^5 + 4002*T1^6*T2^5 - 6524*T1^7*T2^5 + 
      1183*T1^8*T2^5 + 550*T1^9*T2^5 - 128*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
      56*T1*T2^6 + 88*T1^2*T2^6 - 1994*T1^3*T2^6 + 3492*T1^4*T2^6 + 
      4002*T1^5*T2^6 - 9108*T1^6*T2^6 + 4002*T1^7*T2^6 + 3492*T1^8*T2^6 - 
      1994*T1^9*T2^6 + 88*T1^10*T2^6 + 56*T1^11*T2^6 + T1^12*T2^6 - 
      8*T1*T2^7 - 128*T1^2*T2^7 + 550*T1^3*T2^7 + 1183*T1^4*T2^7 - 
      6524*T1^5*T2^7 + 4002*T1^6*T2^7 + 4002*T1^7*T2^7 - 6524*T1^8*T2^7 + 
      1183*T1^9*T2^7 + 550*T1^10*T2^7 - 128*T1^11*T2^7 - 8*T1^12*T2^7 + 
      24*T1^2*T2^8 + 72*T1^3*T2^8 - 956*T1^4*T2^8 + 1183*T1^5*T2^8 + 
      3492*T1^6*T2^8 - 6524*T1^7*T2^8 + 3492*T1^8*T2^8 + 1183*T1^9*T2^8 - 
      956*T1^10*T2^8 + 72*T1^11*T2^8 + 24*T1^12*T2^8 - 33*T1^3*T2^9 + 
      72*T1^4*T2^9 + 550*T1^5*T2^9 - 1994*T1^6*T2^9 + 1183*T1^7*T2^9 + 
      1183*T1^8*T2^9 - 1994*T1^9*T2^9 + 550*T1^10*T2^9 + 72*T1^11*T2^9 - 
      33*T1^12*T2^9 + 24*T1^4*T2^10 - 128*T1^5*T2^10 + 88*T1^6*T2^10 + 
      550*T1^7*T2^10 - 956*T1^8*T2^10 + 550*T1^9*T2^10 + 88*T1^10*T2^10 - 
      128*T1^11*T2^10 + 24*T1^12*T2^10 - 8*T1^5*T2^11 + 56*T1^6*T2^11 - 
      128*T1^7*T2^11 + 72*T1^8*T2^11 + 72*T1^9*T2^11 - 128*T1^10*T2^11 + 
      56*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
      24*T1^8*T2^12 - 33*T1^9*T2^12 + 24*T1^10*T2^12 - 8*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[10, 90] -> 
  {-((2 - 8*T + 17*T^2 - 23*T^3 + 17*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((1 - 4*T1 + 8*T1^2 - 11*T1^3 + 8*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 
      12*T1*T2 - 16*T1^2*T2 + 12*T1^3*T2 + 12*T1^4*T2 - 16*T1^5*T2 + 
      12*T1^6*T2 - 4*T1^7*T2 + 8*T2^2 - 16*T1*T2^2 + 10*T1^2*T2^2 - 
      3*T1^3*T2^2 - 32*T1^4*T2^2 - 3*T1^5*T2^2 + 10*T1^6*T2^2 - 
      16*T1^7*T2^2 + 8*T1^8*T2^2 - 11*T2^3 + 12*T1*T2^3 - 3*T1^2*T2^3 + 
      20*T1^3*T2^3 + 33*T1^4*T2^3 + 33*T1^5*T2^3 + 20*T1^6*T2^3 - 
      3*T1^7*T2^3 + 12*T1^8*T2^3 - 11*T1^9*T2^3 + 8*T2^4 + 12*T1*T2^4 - 
      32*T1^2*T2^4 + 33*T1^3*T2^4 - 144*T1^4*T2^4 + 24*T1^5*T2^4 - 
      144*T1^6*T2^4 + 33*T1^7*T2^4 - 32*T1^8*T2^4 + 12*T1^9*T2^4 + 
      8*T1^10*T2^4 - 4*T2^5 - 16*T1*T2^5 - 3*T1^2*T2^5 + 33*T1^3*T2^5 + 
      24*T1^4*T2^5 + 142*T1^5*T2^5 + 142*T1^6*T2^5 + 24*T1^7*T2^5 + 
      33*T1^8*T2^5 - 3*T1^9*T2^5 - 16*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 
      12*T1*T2^6 + 10*T1^2*T2^6 + 20*T1^3*T2^6 - 144*T1^4*T2^6 + 
      142*T1^5*T2^6 - 492*T1^6*T2^6 + 142*T1^7*T2^6 - 144*T1^8*T2^6 + 
      20*T1^9*T2^6 + 10*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 
      16*T1^2*T2^7 - 3*T1^3*T2^7 + 33*T1^4*T2^7 + 24*T1^5*T2^7 + 
      142*T1^6*T2^7 + 142*T1^7*T2^7 + 24*T1^8*T2^7 + 33*T1^9*T2^7 - 
      3*T1^10*T2^7 - 16*T1^11*T2^7 - 4*T1^12*T2^7 + 8*T1^2*T2^8 + 
      12*T1^3*T2^8 - 32*T1^4*T2^8 + 33*T1^5*T2^8 - 144*T1^6*T2^8 + 
      24*T1^7*T2^8 - 144*T1^8*T2^8 + 33*T1^9*T2^8 - 32*T1^10*T2^8 + 
      12*T1^11*T2^8 + 8*T1^12*T2^8 - 11*T1^3*T2^9 + 12*T1^4*T2^9 - 
      3*T1^5*T2^9 + 20*T1^6*T2^9 + 33*T1^7*T2^9 + 33*T1^8*T2^9 + 
      20*T1^9*T2^9 - 3*T1^10*T2^9 + 12*T1^11*T2^9 - 11*T1^12*T2^9 + 
      8*T1^4*T2^10 - 16*T1^5*T2^10 + 10*T1^6*T2^10 - 3*T1^7*T2^10 - 
      32*T1^8*T2^10 - 3*T1^9*T2^10 + 10*T1^10*T2^10 - 16*T1^11*T2^10 + 
      8*T1^12*T2^10 - 4*T1^5*T2^11 + 12*T1^6*T2^11 - 16*T1^7*T2^11 + 
      12*T1^8*T2^11 + 12*T1^9*T2^11 - 16*T1^10*T2^11 + 12*T1^11*T2^11 - 
      4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 8*T1^8*T2^12 - 
      11*T1^9*T2^12 + 8*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, 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, 
   -((1 - 2*T1 + 3*T1^2 - 3*T1^3 + 3*T1^4 - 2*T1^5 + T1^6 - 2*T2 + T1^2*T2 - 
      T1^3*T2 - T1^4*T2 + T1^5*T2 - 2*T1^7*T2 + 3*T2^2 + T1*T2^2 + 
      9*T1^2*T2^2 - 24*T1^3*T2^2 + 29*T1^4*T2^2 - 24*T1^5*T2^2 + 
      9*T1^6*T2^2 + T1^7*T2^2 + 3*T1^8*T2^2 - 3*T2^3 - T1*T2^3 - 
      24*T1^2*T2^3 + 34*T1^3*T2^3 - 9*T1^4*T2^3 - 9*T1^5*T2^3 + 
      34*T1^6*T2^3 - 24*T1^7*T2^3 - T1^8*T2^3 - 3*T1^9*T2^3 + 3*T2^4 - 
      T1*T2^4 + 29*T1^2*T2^4 - 9*T1^3*T2^4 - 35*T1^4*T2^4 + 25*T1^5*T2^4 - 
      35*T1^6*T2^4 - 9*T1^7*T2^4 + 29*T1^8*T2^4 - T1^9*T2^4 + 3*T1^10*T2^4 - 
      2*T2^5 + T1*T2^5 - 24*T1^2*T2^5 - 9*T1^3*T2^5 + 25*T1^4*T2^5 + 
      14*T1^5*T2^5 + 14*T1^6*T2^5 + 25*T1^7*T2^5 - 9*T1^8*T2^5 - 
      24*T1^9*T2^5 + T1^10*T2^5 - 2*T1^11*T2^5 + T2^6 + 9*T1^2*T2^6 + 
      34*T1^3*T2^6 - 35*T1^4*T2^6 + 14*T1^5*T2^6 - 60*T1^6*T2^6 + 
      14*T1^7*T2^6 - 35*T1^8*T2^6 + 34*T1^9*T2^6 + 9*T1^10*T2^6 + 
      T1^12*T2^6 - 2*T1*T2^7 + T1^2*T2^7 - 24*T1^3*T2^7 - 9*T1^4*T2^7 + 
      25*T1^5*T2^7 + 14*T1^6*T2^7 + 14*T1^7*T2^7 + 25*T1^8*T2^7 - 
      9*T1^9*T2^7 - 24*T1^10*T2^7 + T1^11*T2^7 - 2*T1^12*T2^7 + 3*T1^2*T2^8 - 
      T1^3*T2^8 + 29*T1^4*T2^8 - 9*T1^5*T2^8 - 35*T1^6*T2^8 + 25*T1^7*T2^8 - 
      35*T1^8*T2^8 - 9*T1^9*T2^8 + 29*T1^10*T2^8 - T1^11*T2^8 + 
      3*T1^12*T2^8 - 3*T1^3*T2^9 - T1^4*T2^9 - 24*T1^5*T2^9 + 34*T1^6*T2^9 - 
      9*T1^7*T2^9 - 9*T1^8*T2^9 + 34*T1^9*T2^9 - 24*T1^10*T2^9 - T1^11*T2^9 - 
      3*T1^12*T2^9 + 3*T1^4*T2^10 + T1^5*T2^10 + 9*T1^6*T2^10 - 
      24*T1^7*T2^10 + 29*T1^8*T2^10 - 24*T1^9*T2^10 + 9*T1^10*T2^10 + 
      T1^11*T2^10 + 3*T1^12*T2^10 - 2*T1^5*T2^11 + T1^7*T2^11 - T1^8*T2^11 - 
      T1^9*T2^11 + T1^10*T2^11 - 2*T1^12*T2^11 + T1^6*T2^12 - 2*T1^7*T2^12 + 
      3*T1^8*T2^12 - 3*T1^9*T2^12 + 3*T1^10*T2^12 - 2*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[10, 92] -> 
  {-((2 - 10*T + 20*T^2 - 25*T^3 + 20*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((17 - 83*T1 + 162*T1^2 - 201*T1^3 + 162*T1^4 - 83*T1^5 + 17*T1^6 - 
      83*T2 + 324*T1*T2 - 392*T1^2*T2 + 194*T1^3*T2 + 194*T1^4*T2 - 
      392*T1^5*T2 + 324*T1^6*T2 - 83*T1^7*T2 + 162*T2^2 - 392*T1*T2^2 - 
      251*T1^2*T2^2 + 1170*T1^3*T2^2 - 1739*T1^4*T2^2 + 1170*T1^5*T2^2 - 
      251*T1^6*T2^2 - 392*T1^7*T2^2 + 162*T1^8*T2^2 - 201*T2^3 + 
      194*T1*T2^3 + 1170*T1^2*T2^3 - 1666*T1^3*T2^3 + 967*T1^4*T2^3 + 
      967*T1^5*T2^3 - 1666*T1^6*T2^3 + 1170*T1^7*T2^3 + 194*T1^8*T2^3 - 
      201*T1^9*T2^3 + 162*T2^4 + 194*T1*T2^4 - 1739*T1^2*T2^4 + 
      967*T1^3*T2^4 + 504*T1^4*T2^4 - 1870*T1^5*T2^4 + 504*T1^6*T2^4 + 
      967*T1^7*T2^4 - 1739*T1^8*T2^4 + 194*T1^9*T2^4 + 162*T1^10*T2^4 - 
      83*T2^5 - 392*T1*T2^5 + 1170*T1^2*T2^5 + 967*T1^3*T2^5 - 
      1870*T1^4*T2^5 + 1392*T1^5*T2^5 + 1392*T1^6*T2^5 - 1870*T1^7*T2^5 + 
      967*T1^8*T2^5 + 1170*T1^9*T2^5 - 392*T1^10*T2^5 - 83*T1^11*T2^5 + 
      17*T2^6 + 324*T1*T2^6 - 251*T1^2*T2^6 - 1666*T1^3*T2^6 + 
      504*T1^4*T2^6 + 1392*T1^5*T2^6 - 3276*T1^6*T2^6 + 1392*T1^7*T2^6 + 
      504*T1^8*T2^6 - 1666*T1^9*T2^6 - 251*T1^10*T2^6 + 324*T1^11*T2^6 + 
      17*T1^12*T2^6 - 83*T1*T2^7 - 392*T1^2*T2^7 + 1170*T1^3*T2^7 + 
      967*T1^4*T2^7 - 1870*T1^5*T2^7 + 1392*T1^6*T2^7 + 1392*T1^7*T2^7 - 
      1870*T1^8*T2^7 + 967*T1^9*T2^7 + 1170*T1^10*T2^7 - 392*T1^11*T2^7 - 
      83*T1^12*T2^7 + 162*T1^2*T2^8 + 194*T1^3*T2^8 - 1739*T1^4*T2^8 + 
      967*T1^5*T2^8 + 504*T1^6*T2^8 - 1870*T1^7*T2^8 + 504*T1^8*T2^8 + 
      967*T1^9*T2^8 - 1739*T1^10*T2^8 + 194*T1^11*T2^8 + 162*T1^12*T2^8 - 
      201*T1^3*T2^9 + 194*T1^4*T2^9 + 1170*T1^5*T2^9 - 1666*T1^6*T2^9 + 
      967*T1^7*T2^9 + 967*T1^8*T2^9 - 1666*T1^9*T2^9 + 1170*T1^10*T2^9 + 
      194*T1^11*T2^9 - 201*T1^12*T2^9 + 162*T1^4*T2^10 - 392*T1^5*T2^10 - 
      251*T1^6*T2^10 + 1170*T1^7*T2^10 - 1739*T1^8*T2^10 + 1170*T1^9*T2^10 - 
      251*T1^10*T2^10 - 392*T1^11*T2^10 + 162*T1^12*T2^10 - 83*T1^5*T2^11 + 
      324*T1^6*T2^11 - 392*T1^7*T2^11 + 194*T1^8*T2^11 + 194*T1^9*T2^11 - 
      392*T1^10*T2^11 + 324*T1^11*T2^11 - 83*T1^12*T2^11 + 17*T1^6*T2^12 - 
      83*T1^7*T2^12 + 162*T1^8*T2^12 - 201*T1^9*T2^12 + 162*T1^10*T2^12 - 
      83*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[10, 93] -> {(2 - 8*T + 15*T^2 - 17*T^3 + 15*T^4 - 8*T^5 + 2*T^6)/T^3, 
   -((7 - 28*T1 + 52*T1^2 - 59*T1^3 + 52*T1^4 - 28*T1^5 + 7*T1^6 - 28*T2 + 
      84*T1*T2 - 96*T1^2*T2 + 28*T1^3*T2 + 28*T1^4*T2 - 96*T1^5*T2 + 
      84*T1^6*T2 - 28*T1^7*T2 + 52*T2^2 - 96*T1*T2^2 - 24*T1^2*T2^2 + 
      229*T1^3*T2^2 - 240*T1^4*T2^2 + 229*T1^5*T2^2 - 24*T1^6*T2^2 - 
      96*T1^7*T2^2 + 52*T1^8*T2^2 - 59*T2^3 + 28*T1*T2^3 + 229*T1^2*T2^3 - 
      364*T1^3*T2^3 + 85*T1^4*T2^3 + 85*T1^5*T2^3 - 364*T1^6*T2^3 + 
      229*T1^7*T2^3 + 28*T1^8*T2^3 - 59*T1^9*T2^3 + 52*T2^4 + 28*T1*T2^4 - 
      240*T1^2*T2^4 + 85*T1^3*T2^4 + 410*T1^4*T2^4 - 456*T1^5*T2^4 + 
      410*T1^6*T2^4 + 85*T1^7*T2^4 - 240*T1^8*T2^4 + 28*T1^9*T2^4 + 
      52*T1^10*T2^4 - 28*T2^5 - 96*T1*T2^5 + 229*T1^2*T2^5 + 85*T1^3*T2^5 - 
      456*T1^4*T2^5 + 158*T1^5*T2^5 + 158*T1^6*T2^5 - 456*T1^7*T2^5 + 
      85*T1^8*T2^5 + 229*T1^9*T2^5 - 96*T1^10*T2^5 - 28*T1^11*T2^5 + 7*T2^6 + 
      84*T1*T2^6 - 24*T1^2*T2^6 - 364*T1^3*T2^6 + 410*T1^4*T2^6 + 
      158*T1^5*T2^6 - 336*T1^6*T2^6 + 158*T1^7*T2^6 + 410*T1^8*T2^6 - 
      364*T1^9*T2^6 - 24*T1^10*T2^6 + 84*T1^11*T2^6 + 7*T1^12*T2^6 - 
      28*T1*T2^7 - 96*T1^2*T2^7 + 229*T1^3*T2^7 + 85*T1^4*T2^7 - 
      456*T1^5*T2^7 + 158*T1^6*T2^7 + 158*T1^7*T2^7 - 456*T1^8*T2^7 + 
      85*T1^9*T2^7 + 229*T1^10*T2^7 - 96*T1^11*T2^7 - 28*T1^12*T2^7 + 
      52*T1^2*T2^8 + 28*T1^3*T2^8 - 240*T1^4*T2^8 + 85*T1^5*T2^8 + 
      410*T1^6*T2^8 - 456*T1^7*T2^8 + 410*T1^8*T2^8 + 85*T1^9*T2^8 - 
      240*T1^10*T2^8 + 28*T1^11*T2^8 + 52*T1^12*T2^8 - 59*T1^3*T2^9 + 
      28*T1^4*T2^9 + 229*T1^5*T2^9 - 364*T1^6*T2^9 + 85*T1^7*T2^9 + 
      85*T1^8*T2^9 - 364*T1^9*T2^9 + 229*T1^10*T2^9 + 28*T1^11*T2^9 - 
      59*T1^12*T2^9 + 52*T1^4*T2^10 - 96*T1^5*T2^10 - 24*T1^6*T2^10 + 
      229*T1^7*T2^10 - 240*T1^8*T2^10 + 229*T1^9*T2^10 - 24*T1^10*T2^10 - 
      96*T1^11*T2^10 + 52*T1^12*T2^10 - 28*T1^5*T2^11 + 84*T1^6*T2^11 - 
      96*T1^7*T2^11 + 28*T1^8*T2^11 + 28*T1^9*T2^11 - 96*T1^10*T2^11 + 
      84*T1^11*T2^11 - 28*T1^12*T2^11 + 7*T1^6*T2^12 - 28*T1^7*T2^12 + 
      52*T1^8*T2^12 - 59*T1^9*T2^12 + 52*T1^10*T2^12 - 28*T1^11*T2^12 + 
      7*T1^12*T2^12)/(T1^6*T2^6))}, 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), 
   -((1 - 4*T1 + 9*T1^2 - 14*T1^3 + 15*T1^4 - 14*T1^5 + 9*T1^6 - 4*T1^7 + 
      T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 20*T1^3*T2 - 4*T1^4*T2 - 
      4*T1^5*T2 + 20*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 9*T2^2 - 
      20*T1*T2^2 + 25*T1^2*T2^2 - 14*T1^3*T2^2 - 17*T1^4*T2^2 + T1^5*T2^2 - 
      17*T1^6*T2^2 - 14*T1^7*T2^2 + 25*T1^8*T2^2 - 20*T1^9*T2^2 + 
      9*T1^10*T2^2 - 14*T2^3 + 20*T1*T2^3 - 14*T1^2*T2^3 - 10*T1^3*T2^3 + 
      45*T1^4*T2^3 + 19*T1^5*T2^3 + 19*T1^6*T2^3 + 45*T1^7*T2^3 - 
      10*T1^8*T2^3 - 14*T1^9*T2^3 + 20*T1^10*T2^3 - 14*T1^11*T2^3 + 15*T2^4 - 
      4*T1*T2^4 - 17*T1^2*T2^4 + 45*T1^3*T2^4 - 56*T1^4*T2^4 - 59*T1^5*T2^4 - 
      36*T1^6*T2^4 - 59*T1^7*T2^4 - 56*T1^8*T2^4 + 45*T1^9*T2^4 - 
      17*T1^10*T2^4 - 4*T1^11*T2^4 + 15*T1^12*T2^4 - 14*T2^5 - 4*T1*T2^5 + 
      T1^2*T2^5 + 19*T1^3*T2^5 - 59*T1^4*T2^5 + 162*T1^5*T2^5 + 
      45*T1^6*T2^5 + 45*T1^7*T2^5 + 162*T1^8*T2^5 - 59*T1^9*T2^5 + 
      19*T1^10*T2^5 + T1^11*T2^5 - 4*T1^12*T2^5 - 14*T1^13*T2^5 + 9*T2^6 + 
      20*T1*T2^6 - 17*T1^2*T2^6 + 19*T1^3*T2^6 - 36*T1^4*T2^6 + 
      45*T1^5*T2^6 - 321*T1^6*T2^6 + 167*T1^7*T2^6 - 321*T1^8*T2^6 + 
      45*T1^9*T2^6 - 36*T1^10*T2^6 + 19*T1^11*T2^6 - 17*T1^12*T2^6 + 
      20*T1^13*T2^6 + 9*T1^14*T2^6 - 4*T2^7 - 20*T1*T2^7 - 14*T1^2*T2^7 + 
      45*T1^3*T2^7 - 59*T1^4*T2^7 + 45*T1^5*T2^7 + 167*T1^6*T2^7 + 
      66*T1^7*T2^7 + 66*T1^8*T2^7 + 167*T1^9*T2^7 + 45*T1^10*T2^7 - 
      59*T1^11*T2^7 + 45*T1^12*T2^7 - 14*T1^13*T2^7 - 20*T1^14*T2^7 - 
      4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 25*T1^2*T2^8 - 10*T1^3*T2^8 - 
      56*T1^4*T2^8 + 162*T1^5*T2^8 - 321*T1^6*T2^8 + 66*T1^7*T2^8 - 
      228*T1^8*T2^8 + 66*T1^9*T2^8 - 321*T1^10*T2^8 + 162*T1^11*T2^8 - 
      56*T1^12*T2^8 - 10*T1^13*T2^8 + 25*T1^14*T2^8 + 12*T1^15*T2^8 + 
      T1^16*T2^8 - 4*T1*T2^9 - 20*T1^2*T2^9 - 14*T1^3*T2^9 + 45*T1^4*T2^9 - 
      59*T1^5*T2^9 + 45*T1^6*T2^9 + 167*T1^7*T2^9 + 66*T1^8*T2^9 + 
      66*T1^9*T2^9 + 167*T1^10*T2^9 + 45*T1^11*T2^9 - 59*T1^12*T2^9 + 
      45*T1^13*T2^9 - 14*T1^14*T2^9 - 20*T1^15*T2^9 - 4*T1^16*T2^9 + 
      9*T1^2*T2^10 + 20*T1^3*T2^10 - 17*T1^4*T2^10 + 19*T1^5*T2^10 - 
      36*T1^6*T2^10 + 45*T1^7*T2^10 - 321*T1^8*T2^10 + 167*T1^9*T2^10 - 
      321*T1^10*T2^10 + 45*T1^11*T2^10 - 36*T1^12*T2^10 + 19*T1^13*T2^10 - 
      17*T1^14*T2^10 + 20*T1^15*T2^10 + 9*T1^16*T2^10 - 14*T1^3*T2^11 - 
      4*T1^4*T2^11 + T1^5*T2^11 + 19*T1^6*T2^11 - 59*T1^7*T2^11 + 
      162*T1^8*T2^11 + 45*T1^9*T2^11 + 45*T1^10*T2^11 + 162*T1^11*T2^11 - 
      59*T1^12*T2^11 + 19*T1^13*T2^11 + T1^14*T2^11 - 4*T1^15*T2^11 - 
      14*T1^16*T2^11 + 15*T1^4*T2^12 - 4*T1^5*T2^12 - 17*T1^6*T2^12 + 
      45*T1^7*T2^12 - 56*T1^8*T2^12 - 59*T1^9*T2^12 - 36*T1^10*T2^12 - 
      59*T1^11*T2^12 - 56*T1^12*T2^12 + 45*T1^13*T2^12 - 17*T1^14*T2^12 - 
      4*T1^15*T2^12 + 15*T1^16*T2^12 - 14*T1^5*T2^13 + 20*T1^6*T2^13 - 
      14*T1^7*T2^13 - 10*T1^8*T2^13 + 45*T1^9*T2^13 + 19*T1^10*T2^13 + 
      19*T1^11*T2^13 + 45*T1^12*T2^13 - 10*T1^13*T2^13 - 14*T1^14*T2^13 + 
      20*T1^15*T2^13 - 14*T1^16*T2^13 + 9*T1^6*T2^14 - 20*T1^7*T2^14 + 
      25*T1^8*T2^14 - 14*T1^9*T2^14 - 17*T1^10*T2^14 + T1^11*T2^14 - 
      17*T1^12*T2^14 - 14*T1^13*T2^14 + 25*T1^14*T2^14 - 20*T1^15*T2^14 + 
      9*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 20*T1^9*T2^15 + 
      20*T1^10*T2^15 - 4*T1^11*T2^15 - 4*T1^12*T2^15 + 20*T1^13*T2^15 - 
      20*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 
      4*T1^9*T2^16 + 9*T1^10*T2^16 - 14*T1^11*T2^16 + 15*T1^12*T2^16 - 
      14*T1^13*T2^16 + 9*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[10, 95] -> 
  {((2 - 3*T + 2*T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3, 
   (9 - 39*T1 + 90*T1^2 - 115*T1^3 + 90*T1^4 - 39*T1^5 + 9*T1^6 - 39*T2 + 
     130*T1*T2 - 220*T1^2*T2 + 108*T1^3*T2 + 108*T1^4*T2 - 220*T1^5*T2 + 
     130*T1^6*T2 - 39*T1^7*T2 + 90*T2^2 - 220*T1*T2^2 + 245*T1^2*T2^2 + 
     184*T1^3*T2^2 - 415*T1^4*T2^2 + 184*T1^5*T2^2 + 245*T1^6*T2^2 - 
     220*T1^7*T2^2 + 90*T1^8*T2^2 - 115*T2^3 + 108*T1*T2^3 + 184*T1^2*T2^3 - 
     930*T1^3*T2^3 + 499*T1^4*T2^3 + 499*T1^5*T2^3 - 930*T1^6*T2^3 + 
     184*T1^7*T2^3 + 108*T1^8*T2^3 - 115*T1^9*T2^3 + 90*T2^4 + 108*T1*T2^4 - 
     415*T1^2*T2^4 + 499*T1^3*T2^4 + 1462*T1^4*T2^4 - 2494*T1^5*T2^4 + 
     1462*T1^6*T2^4 + 499*T1^7*T2^4 - 415*T1^8*T2^4 + 108*T1^9*T2^4 + 
     90*T1^10*T2^4 - 39*T2^5 - 220*T1*T2^5 + 184*T1^2*T2^5 + 499*T1^3*T2^5 - 
     2494*T1^4*T2^5 + 1344*T1^5*T2^5 + 1344*T1^6*T2^5 - 2494*T1^7*T2^5 + 
     499*T1^8*T2^5 + 184*T1^9*T2^5 - 220*T1^10*T2^5 - 39*T1^11*T2^5 + 
     9*T2^6 + 130*T1*T2^6 + 245*T1^2*T2^6 - 930*T1^3*T2^6 + 1462*T1^4*T2^6 + 
     1344*T1^5*T2^6 - 2880*T1^6*T2^6 + 1344*T1^7*T2^6 + 1462*T1^8*T2^6 - 
     930*T1^9*T2^6 + 245*T1^10*T2^6 + 130*T1^11*T2^6 + 9*T1^12*T2^6 - 
     39*T1*T2^7 - 220*T1^2*T2^7 + 184*T1^3*T2^7 + 499*T1^4*T2^7 - 
     2494*T1^5*T2^7 + 1344*T1^6*T2^7 + 1344*T1^7*T2^7 - 2494*T1^8*T2^7 + 
     499*T1^9*T2^7 + 184*T1^10*T2^7 - 220*T1^11*T2^7 - 39*T1^12*T2^7 + 
     90*T1^2*T2^8 + 108*T1^3*T2^8 - 415*T1^4*T2^8 + 499*T1^5*T2^8 + 
     1462*T1^6*T2^8 - 2494*T1^7*T2^8 + 1462*T1^8*T2^8 + 499*T1^9*T2^8 - 
     415*T1^10*T2^8 + 108*T1^11*T2^8 + 90*T1^12*T2^8 - 115*T1^3*T2^9 + 
     108*T1^4*T2^9 + 184*T1^5*T2^9 - 930*T1^6*T2^9 + 499*T1^7*T2^9 + 
     499*T1^8*T2^9 - 930*T1^9*T2^9 + 184*T1^10*T2^9 + 108*T1^11*T2^9 - 
     115*T1^12*T2^9 + 90*T1^4*T2^10 - 220*T1^5*T2^10 + 245*T1^6*T2^10 + 
     184*T1^7*T2^10 - 415*T1^8*T2^10 + 184*T1^9*T2^10 + 245*T1^10*T2^10 - 
     220*T1^11*T2^10 + 90*T1^12*T2^10 - 39*T1^5*T2^11 + 130*T1^6*T2^11 - 
     220*T1^7*T2^11 + 108*T1^8*T2^11 + 108*T1^9*T2^11 - 220*T1^10*T2^11 + 
     130*T1^11*T2^11 - 39*T1^12*T2^11 + 9*T1^6*T2^12 - 39*T1^7*T2^12 + 
     90*T1^8*T2^12 - 115*T1^9*T2^12 + 90*T1^10*T2^12 - 39*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, Knot[10, 96] -> 
  {-((1 - 7*T + 22*T^2 - 33*T^3 + 22*T^4 - 7*T^5 + T^6)/T^3), 
   -((1 + 8*T1 - 25*T1^2 + 8*T1^3 + T1^4 + 8*T2 - 86*T1*T2 + 110*T1^2*T2 + 
      110*T1^3*T2 - 86*T1^4*T2 + 8*T1^5*T2 - 25*T2^2 + 110*T1*T2^2 + 
      286*T1^2*T2^2 - 996*T1^3*T2^2 + 286*T1^4*T2^2 + 110*T1^5*T2^2 - 
      25*T1^6*T2^2 + 8*T2^3 + 110*T1*T2^3 - 996*T1^2*T2^3 + 1156*T1^3*T2^3 + 
      1156*T1^4*T2^3 - 996*T1^5*T2^3 + 110*T1^6*T2^3 + 8*T1^7*T2^3 + T2^4 - 
      86*T1*T2^4 + 286*T1^2*T2^4 + 1156*T1^3*T2^4 - 3432*T1^4*T2^4 + 
      1156*T1^5*T2^4 + 286*T1^6*T2^4 - 86*T1^7*T2^4 + T1^8*T2^4 + 8*T1*T2^5 + 
      110*T1^2*T2^5 - 996*T1^3*T2^5 + 1156*T1^4*T2^5 + 1156*T1^5*T2^5 - 
      996*T1^6*T2^5 + 110*T1^7*T2^5 + 8*T1^8*T2^5 - 25*T1^2*T2^6 + 
      110*T1^3*T2^6 + 286*T1^4*T2^6 - 996*T1^5*T2^6 + 286*T1^6*T2^6 + 
      110*T1^7*T2^6 - 25*T1^8*T2^6 + 8*T1^3*T2^7 - 86*T1^4*T2^7 + 
      110*T1^5*T2^7 + 110*T1^6*T2^7 - 86*T1^7*T2^7 + 8*T1^8*T2^7 + 
      T1^4*T2^8 + 8*T1^5*T2^8 - 25*T1^6*T2^8 + 8*T1^7*T2^8 + T1^8*T2^8)/
     (T1^4*T2^4))}, Knot[10, 97] -> 
  {-((5 - 22*T + 33*T^2 - 22*T^3 + 5*T^4)/T^2), 
   -((145 - 635*T1 + 943*T1^2 - 635*T1^3 + 145*T1^4 - 635*T2 + 2152*T1*T2 - 
      1359*T1^2*T2 - 1359*T1^3*T2 + 2152*T1^4*T2 - 635*T1^5*T2 + 943*T2^2 - 
      1359*T1*T2^2 - 5062*T1^2*T2^2 + 9832*T1^3*T2^2 - 5062*T1^4*T2^2 - 
      1359*T1^5*T2^2 + 943*T1^6*T2^2 - 635*T2^3 - 1359*T1*T2^3 + 
      9832*T1^2*T2^3 - 6720*T1^3*T2^3 - 6720*T1^4*T2^3 + 9832*T1^5*T2^3 - 
      1359*T1^6*T2^3 - 635*T1^7*T2^3 + 145*T2^4 + 2152*T1*T2^4 - 
      5062*T1^2*T2^4 - 6720*T1^3*T2^4 + 16188*T1^4*T2^4 - 6720*T1^5*T2^4 - 
      5062*T1^6*T2^4 + 2152*T1^7*T2^4 + 145*T1^8*T2^4 - 635*T1*T2^5 - 
      1359*T1^2*T2^5 + 9832*T1^3*T2^5 - 6720*T1^4*T2^5 - 6720*T1^5*T2^5 + 
      9832*T1^6*T2^5 - 1359*T1^7*T2^5 - 635*T1^8*T2^5 + 943*T1^2*T2^6 - 
      1359*T1^3*T2^6 - 5062*T1^4*T2^6 + 9832*T1^5*T2^6 - 5062*T1^6*T2^6 - 
      1359*T1^7*T2^6 + 943*T1^8*T2^6 - 635*T1^3*T2^7 + 2152*T1^4*T2^7 - 
      1359*T1^5*T2^7 - 1359*T1^6*T2^7 + 2152*T1^7*T2^7 - 635*T1^8*T2^7 + 
      145*T1^4*T2^8 - 635*T1^5*T2^8 + 943*T1^6*T2^8 - 635*T1^7*T2^8 + 
      145*T1^8*T2^8)/(T1^4*T2^4))}, 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)*
     (17 - 58*T1 + 73*T1^2 - 58*T1^3 + 17*T1^4 - 58*T2 + 140*T1*T2 - 
      52*T1^2*T2 - 52*T1^3*T2 + 140*T1^4*T2 - 58*T1^5*T2 + 73*T2^2 - 
      52*T1*T2^2 - 287*T1^2*T2^2 + 373*T1^3*T2^2 - 287*T1^4*T2^2 - 
      52*T1^5*T2^2 + 73*T1^6*T2^2 - 58*T2^3 - 52*T1*T2^3 + 373*T1^2*T2^3 - 
      140*T1^3*T2^3 - 140*T1^4*T2^3 + 373*T1^5*T2^3 - 52*T1^6*T2^3 - 
      58*T1^7*T2^3 + 17*T2^4 + 140*T1*T2^4 - 287*T1^2*T2^4 - 140*T1^3*T2^4 + 
      264*T1^4*T2^4 - 140*T1^5*T2^4 - 287*T1^6*T2^4 + 140*T1^7*T2^4 + 
      17*T1^8*T2^4 - 58*T1*T2^5 - 52*T1^2*T2^5 + 373*T1^3*T2^5 - 
      140*T1^4*T2^5 - 140*T1^5*T2^5 + 373*T1^6*T2^5 - 52*T1^7*T2^5 - 
      58*T1^8*T2^5 + 73*T1^2*T2^6 - 52*T1^3*T2^6 - 287*T1^4*T2^6 + 
      373*T1^5*T2^6 - 287*T1^6*T2^6 - 52*T1^7*T2^6 + 73*T1^8*T2^6 - 
      58*T1^3*T2^7 + 140*T1^4*T2^7 - 52*T1^5*T2^7 - 52*T1^6*T2^7 + 
      140*T1^7*T2^7 - 58*T1^8*T2^7 + 17*T1^4*T2^8 - 58*T1^5*T2^8 + 
      73*T1^6*T2^8 - 58*T1^7*T2^8 + 17*T1^8*T2^8))/(T1^6*T2^6)}, 
 Knot[10, 99] -> {(1 - T + T^2)^4/T^4, 0}, 
 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 + 24*T1*T2 - 40*T1^2*T2 + 24*T1^3*T2 - 8*T1^4*T2 - 
      8*T1^5*T2 + 24*T1^6*T2 - 40*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 
      18*T2^2 - 40*T1*T2^2 + 49*T1^2*T2^2 + 10*T1^3*T2^2 - 8*T1^4*T2^2 + 
      7*T1^5*T2^2 - 8*T1^6*T2^2 + 10*T1^7*T2^2 + 49*T1^8*T2^2 - 
      40*T1^9*T2^2 + 18*T1^10*T2^2 - 24*T2^3 + 24*T1*T2^3 + 10*T1^2*T2^3 - 
      116*T1^3*T2^3 + 29*T1^4*T2^3 - 8*T1^5*T2^3 - 8*T1^6*T2^3 + 
      29*T1^7*T2^3 - 116*T1^8*T2^3 + 10*T1^9*T2^3 + 24*T1^10*T2^3 - 
      24*T1^11*T2^3 + 26*T2^4 - 8*T1*T2^4 - 8*T1^2*T2^4 + 29*T1^3*T2^4 + 
      243*T1^4*T2^4 - 245*T1^5*T2^4 + 253*T1^6*T2^4 - 245*T1^7*T2^4 + 
      243*T1^8*T2^4 + 29*T1^9*T2^4 - 8*T1^10*T2^4 - 8*T1^11*T2^4 + 
      26*T1^12*T2^4 - 24*T2^5 - 8*T1*T2^5 + 7*T1^2*T2^5 - 8*T1^3*T2^5 - 
      245*T1^4*T2^5 + 42*T1^5*T2^5 - 14*T1^6*T2^5 - 14*T1^7*T2^5 + 
      42*T1^8*T2^5 - 245*T1^9*T2^5 - 8*T1^10*T2^5 + 7*T1^11*T2^5 - 
      8*T1^12*T2^5 - 24*T1^13*T2^5 + 18*T2^6 + 24*T1*T2^6 - 8*T1^2*T2^6 - 
      8*T1^3*T2^6 + 253*T1^4*T2^6 - 14*T1^5*T2^6 + 140*T1^6*T2^6 - 
      162*T1^7*T2^6 + 140*T1^8*T2^6 - 14*T1^9*T2^6 + 253*T1^10*T2^6 - 
      8*T1^11*T2^6 - 8*T1^12*T2^6 + 24*T1^13*T2^6 + 18*T1^14*T2^6 - 8*T2^7 - 
      40*T1*T2^7 + 10*T1^2*T2^7 + 29*T1^3*T2^7 - 245*T1^4*T2^7 - 
      14*T1^5*T2^7 - 162*T1^6*T2^7 + 58*T1^7*T2^7 + 58*T1^8*T2^7 - 
      162*T1^9*T2^7 - 14*T1^10*T2^7 - 245*T1^11*T2^7 + 29*T1^12*T2^7 + 
      10*T1^13*T2^7 - 40*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 24*T1*T2^8 + 
      49*T1^2*T2^8 - 116*T1^3*T2^8 + 243*T1^4*T2^8 + 42*T1^5*T2^8 + 
      140*T1^6*T2^8 + 58*T1^7*T2^8 - 108*T1^8*T2^8 + 58*T1^9*T2^8 + 
      140*T1^10*T2^8 + 42*T1^11*T2^8 + 243*T1^12*T2^8 - 116*T1^13*T2^8 + 
      49*T1^14*T2^8 + 24*T1^15*T2^8 + 2*T1^16*T2^8 - 8*T1*T2^9 - 
      40*T1^2*T2^9 + 10*T1^3*T2^9 + 29*T1^4*T2^9 - 245*T1^5*T2^9 - 
      14*T1^6*T2^9 - 162*T1^7*T2^9 + 58*T1^8*T2^9 + 58*T1^9*T2^9 - 
      162*T1^10*T2^9 - 14*T1^11*T2^9 - 245*T1^12*T2^9 + 29*T1^13*T2^9 + 
      10*T1^14*T2^9 - 40*T1^15*T2^9 - 8*T1^16*T2^9 + 18*T1^2*T2^10 + 
      24*T1^3*T2^10 - 8*T1^4*T2^10 - 8*T1^5*T2^10 + 253*T1^6*T2^10 - 
      14*T1^7*T2^10 + 140*T1^8*T2^10 - 162*T1^9*T2^10 + 140*T1^10*T2^10 - 
      14*T1^11*T2^10 + 253*T1^12*T2^10 - 8*T1^13*T2^10 - 8*T1^14*T2^10 + 
      24*T1^15*T2^10 + 18*T1^16*T2^10 - 24*T1^3*T2^11 - 8*T1^4*T2^11 + 
      7*T1^5*T2^11 - 8*T1^6*T2^11 - 245*T1^7*T2^11 + 42*T1^8*T2^11 - 
      14*T1^9*T2^11 - 14*T1^10*T2^11 + 42*T1^11*T2^11 - 245*T1^12*T2^11 - 
      8*T1^13*T2^11 + 7*T1^14*T2^11 - 8*T1^15*T2^11 - 24*T1^16*T2^11 + 
      26*T1^4*T2^12 - 8*T1^5*T2^12 - 8*T1^6*T2^12 + 29*T1^7*T2^12 + 
      243*T1^8*T2^12 - 245*T1^9*T2^12 + 253*T1^10*T2^12 - 245*T1^11*T2^12 + 
      243*T1^12*T2^12 + 29*T1^13*T2^12 - 8*T1^14*T2^12 - 8*T1^15*T2^12 + 
      26*T1^16*T2^12 - 24*T1^5*T2^13 + 24*T1^6*T2^13 + 10*T1^7*T2^13 - 
      116*T1^8*T2^13 + 29*T1^9*T2^13 - 8*T1^10*T2^13 - 8*T1^11*T2^13 + 
      29*T1^12*T2^13 - 116*T1^13*T2^13 + 10*T1^14*T2^13 + 24*T1^15*T2^13 - 
      24*T1^16*T2^13 + 18*T1^6*T2^14 - 40*T1^7*T2^14 + 49*T1^8*T2^14 + 
      10*T1^9*T2^14 - 8*T1^10*T2^14 + 7*T1^11*T2^14 - 8*T1^12*T2^14 + 
      10*T1^13*T2^14 + 49*T1^14*T2^14 - 40*T1^15*T2^14 + 18*T1^16*T2^14 - 
      8*T1^7*T2^15 + 24*T1^8*T2^15 - 40*T1^9*T2^15 + 24*T1^10*T2^15 - 
      8*T1^11*T2^15 - 8*T1^12*T2^15 + 24*T1^13*T2^15 - 40*T1^14*T2^15 + 
      24*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)/(T1^8*T2^8))}, 
 Knot[10, 101] -> {(7 - 21*T + 29*T^2 - 21*T^3 + 7*T^4)/T^2, 
   (777 - 2275*T1 + 3125*T1^2 - 2275*T1^3 + 777*T1^4 - 2275*T2 + 4422*T1*T2 - 
     2516*T1^2*T2 - 2516*T1^3*T2 + 4422*T1^4*T2 - 2275*T1^5*T2 + 3125*T2^2 - 
     2516*T1*T2^2 - 4141*T1^2*T2^2 + 9095*T1^3*T2^2 - 4141*T1^4*T2^2 - 
     2516*T1^5*T2^2 + 3125*T1^6*T2^2 - 2275*T2^3 - 2516*T1*T2^3 + 
     9095*T1^2*T2^3 - 6060*T1^3*T2^3 - 6060*T1^4*T2^3 + 9095*T1^5*T2^3 - 
     2516*T1^6*T2^3 - 2275*T1^7*T2^3 + 777*T2^4 + 4422*T1*T2^4 - 
     4141*T1^2*T2^4 - 6060*T1^3*T2^4 + 14184*T1^4*T2^4 - 6060*T1^5*T2^4 - 
     4141*T1^6*T2^4 + 4422*T1^7*T2^4 + 777*T1^8*T2^4 - 2275*T1*T2^5 - 
     2516*T1^2*T2^5 + 9095*T1^3*T2^5 - 6060*T1^4*T2^5 - 6060*T1^5*T2^5 + 
     9095*T1^6*T2^5 - 2516*T1^7*T2^5 - 2275*T1^8*T2^5 + 3125*T1^2*T2^6 - 
     2516*T1^3*T2^6 - 4141*T1^4*T2^6 + 9095*T1^5*T2^6 - 4141*T1^6*T2^6 - 
     2516*T1^7*T2^6 + 3125*T1^8*T2^6 - 2275*T1^3*T2^7 + 4422*T1^4*T2^7 - 
     2516*T1^5*T2^7 - 2516*T1^6*T2^7 + 4422*T1^7*T2^7 - 2275*T1^8*T2^7 + 
     777*T1^4*T2^8 - 2275*T1^5*T2^8 + 3125*T1^6*T2^8 - 2275*T1^7*T2^8 + 
     777*T1^8*T2^8)/(T1^4*T2^4)}, Knot[10, 102] -> 
  {-((2 - 8*T + 16*T^2 - 21*T^3 + 16*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((1 - 4*T1 + 8*T1^2 - 11*T1^3 + 8*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 
      12*T1*T2 - 16*T1^2*T2 + 12*T1^3*T2 + 12*T1^4*T2 - 16*T1^5*T2 + 
      12*T1^6*T2 - 4*T1^7*T2 + 8*T2^2 - 16*T1*T2^2 + 8*T1^2*T2^2 - 
      32*T1^4*T2^2 + 8*T1^6*T2^2 - 16*T1^7*T2^2 + 8*T1^8*T2^2 - 11*T2^3 + 
      12*T1*T2^3 + 26*T1^3*T2^3 + 20*T1^4*T2^3 + 20*T1^5*T2^3 + 
      26*T1^6*T2^3 + 12*T1^8*T2^3 - 11*T1^9*T2^3 + 8*T2^4 + 12*T1*T2^4 - 
      32*T1^2*T2^4 + 20*T1^3*T2^4 - 178*T1^4*T2^4 + 132*T1^5*T2^4 - 
      178*T1^6*T2^4 + 20*T1^7*T2^4 - 32*T1^8*T2^4 + 12*T1^9*T2^4 + 
      8*T1^10*T2^4 - 4*T2^5 - 16*T1*T2^5 + 20*T1^3*T2^5 + 132*T1^4*T2^5 + 
      36*T1^5*T2^5 + 36*T1^6*T2^5 + 132*T1^7*T2^5 + 20*T1^8*T2^5 - 
      16*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 12*T1*T2^6 + 8*T1^2*T2^6 + 
      26*T1^3*T2^6 - 178*T1^4*T2^6 + 36*T1^5*T2^6 - 204*T1^6*T2^6 + 
      36*T1^7*T2^6 - 178*T1^8*T2^6 + 26*T1^9*T2^6 + 8*T1^10*T2^6 + 
      12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 16*T1^2*T2^7 + 20*T1^4*T2^7 + 
      132*T1^5*T2^7 + 36*T1^6*T2^7 + 36*T1^7*T2^7 + 132*T1^8*T2^7 + 
      20*T1^9*T2^7 - 16*T1^11*T2^7 - 4*T1^12*T2^7 + 8*T1^2*T2^8 + 
      12*T1^3*T2^8 - 32*T1^4*T2^8 + 20*T1^5*T2^8 - 178*T1^6*T2^8 + 
      132*T1^7*T2^8 - 178*T1^8*T2^8 + 20*T1^9*T2^8 - 32*T1^10*T2^8 + 
      12*T1^11*T2^8 + 8*T1^12*T2^8 - 11*T1^3*T2^9 + 12*T1^4*T2^9 + 
      26*T1^6*T2^9 + 20*T1^7*T2^9 + 20*T1^8*T2^9 + 26*T1^9*T2^9 + 
      12*T1^11*T2^9 - 11*T1^12*T2^9 + 8*T1^4*T2^10 - 16*T1^5*T2^10 + 
      8*T1^6*T2^10 - 32*T1^8*T2^10 + 8*T1^10*T2^10 - 16*T1^11*T2^10 + 
      8*T1^12*T2^10 - 4*T1^5*T2^11 + 12*T1^6*T2^11 - 16*T1^7*T2^11 + 
      12*T1^8*T2^11 + 12*T1^9*T2^11 - 16*T1^10*T2^11 + 12*T1^11*T2^11 - 
      4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 8*T1^8*T2^12 - 
      11*T1^9*T2^12 + 8*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[10, 103] -> 
  {((2 - 2*T + T^2)*(1 - T + T^2)*(1 - 2*T + 2*T^2))/T^3, 
   -((9 - 36*T1 + 76*T1^2 - 93*T1^3 + 76*T1^4 - 36*T1^5 + 9*T1^6 - 36*T2 + 
      108*T1*T2 - 160*T1^2*T2 + 68*T1^3*T2 + 68*T1^4*T2 - 160*T1^5*T2 + 
      108*T1^6*T2 - 36*T1^7*T2 + 76*T2^2 - 160*T1*T2^2 + 128*T1^2*T2^2 + 
      172*T1^3*T2^2 - 274*T1^4*T2^2 + 172*T1^5*T2^2 + 128*T1^6*T2^2 - 
      160*T1^7*T2^2 + 76*T1^8*T2^2 - 93*T2^3 + 68*T1*T2^3 + 172*T1^2*T2^3 - 
      574*T1^3*T2^3 + 230*T1^4*T2^3 + 230*T1^5*T2^3 - 574*T1^6*T2^3 + 
      172*T1^7*T2^3 + 68*T1^8*T2^3 - 93*T1^9*T2^3 + 76*T2^4 + 68*T1*T2^4 - 
      274*T1^2*T2^4 + 230*T1^3*T2^4 + 815*T1^4*T2^4 - 1127*T1^5*T2^4 + 
      815*T1^6*T2^4 + 230*T1^7*T2^4 - 274*T1^8*T2^4 + 68*T1^9*T2^4 + 
      76*T1^10*T2^4 - 36*T2^5 - 160*T1*T2^5 + 172*T1^2*T2^5 + 230*T1^3*T2^5 - 
      1127*T1^4*T2^5 + 438*T1^5*T2^5 + 438*T1^6*T2^5 - 1127*T1^7*T2^5 + 
      230*T1^8*T2^5 + 172*T1^9*T2^5 - 160*T1^10*T2^5 - 36*T1^11*T2^5 + 
      9*T2^6 + 108*T1*T2^6 + 128*T1^2*T2^6 - 574*T1^3*T2^6 + 815*T1^4*T2^6 + 
      438*T1^5*T2^6 - 780*T1^6*T2^6 + 438*T1^7*T2^6 + 815*T1^8*T2^6 - 
      574*T1^9*T2^6 + 128*T1^10*T2^6 + 108*T1^11*T2^6 + 9*T1^12*T2^6 - 
      36*T1*T2^7 - 160*T1^2*T2^7 + 172*T1^3*T2^7 + 230*T1^4*T2^7 - 
      1127*T1^5*T2^7 + 438*T1^6*T2^7 + 438*T1^7*T2^7 - 1127*T1^8*T2^7 + 
      230*T1^9*T2^7 + 172*T1^10*T2^7 - 160*T1^11*T2^7 - 36*T1^12*T2^7 + 
      76*T1^2*T2^8 + 68*T1^3*T2^8 - 274*T1^4*T2^8 + 230*T1^5*T2^8 + 
      815*T1^6*T2^8 - 1127*T1^7*T2^8 + 815*T1^8*T2^8 + 230*T1^9*T2^8 - 
      274*T1^10*T2^8 + 68*T1^11*T2^8 + 76*T1^12*T2^8 - 93*T1^3*T2^9 + 
      68*T1^4*T2^9 + 172*T1^5*T2^9 - 574*T1^6*T2^9 + 230*T1^7*T2^9 + 
      230*T1^8*T2^9 - 574*T1^9*T2^9 + 172*T1^10*T2^9 + 68*T1^11*T2^9 - 
      93*T1^12*T2^9 + 76*T1^4*T2^10 - 160*T1^5*T2^10 + 128*T1^6*T2^10 + 
      172*T1^7*T2^10 - 274*T1^8*T2^10 + 172*T1^9*T2^10 + 128*T1^10*T2^10 - 
      160*T1^11*T2^10 + 76*T1^12*T2^10 - 36*T1^5*T2^11 + 108*T1^6*T2^11 - 
      160*T1^7*T2^11 + 68*T1^8*T2^11 + 68*T1^9*T2^11 - 160*T1^10*T2^11 + 
      108*T1^11*T2^11 - 36*T1^12*T2^11 + 9*T1^6*T2^12 - 36*T1^7*T2^12 + 
      76*T1^8*T2^12 - 93*T1^9*T2^12 + 76*T1^10*T2^12 - 36*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   -((1 - 2*T1 + 2*T1^2 - T1^3 + 2*T1^4 - 2*T1^5 + T1^6 - 2*T2 + 4*T1^2*T2 - 
      4*T1^3*T2 - 4*T1^4*T2 + 4*T1^5*T2 - 2*T1^7*T2 + 2*T2^2 + 4*T1*T2^2 - 
      3*T1^2*T2^2 - 11*T1^3*T2^2 + 23*T1^4*T2^2 - 11*T1^5*T2^2 - 
      3*T1^6*T2^2 + 4*T1^7*T2^2 + 2*T1^8*T2^2 - T2^3 - 4*T1*T2^3 - 
      11*T1^2*T2^3 + 28*T1^3*T2^3 - 15*T1^4*T2^3 - 15*T1^5*T2^3 + 
      28*T1^6*T2^3 - 11*T1^7*T2^3 - 4*T1^8*T2^3 - T1^9*T2^3 + 2*T2^4 - 
      4*T1*T2^4 + 23*T1^2*T2^4 - 15*T1^3*T2^4 - 25*T1^4*T2^4 + 37*T1^5*T2^4 - 
      25*T1^6*T2^4 - 15*T1^7*T2^4 + 23*T1^8*T2^4 - 4*T1^9*T2^4 + 
      2*T1^10*T2^4 - 2*T2^5 + 4*T1*T2^5 - 11*T1^2*T2^5 - 15*T1^3*T2^5 + 
      37*T1^4*T2^5 - 8*T1^5*T2^5 - 8*T1^6*T2^5 + 37*T1^7*T2^5 - 
      15*T1^8*T2^5 - 11*T1^9*T2^5 + 4*T1^10*T2^5 - 2*T1^11*T2^5 + T2^6 - 
      3*T1^2*T2^6 + 28*T1^3*T2^6 - 25*T1^4*T2^6 - 8*T1^5*T2^6 - 8*T1^7*T2^6 - 
      25*T1^8*T2^6 + 28*T1^9*T2^6 - 3*T1^10*T2^6 + T1^12*T2^6 - 2*T1*T2^7 + 
      4*T1^2*T2^7 - 11*T1^3*T2^7 - 15*T1^4*T2^7 + 37*T1^5*T2^7 - 
      8*T1^6*T2^7 - 8*T1^7*T2^7 + 37*T1^8*T2^7 - 15*T1^9*T2^7 - 
      11*T1^10*T2^7 + 4*T1^11*T2^7 - 2*T1^12*T2^7 + 2*T1^2*T2^8 - 
      4*T1^3*T2^8 + 23*T1^4*T2^8 - 15*T1^5*T2^8 - 25*T1^6*T2^8 + 
      37*T1^7*T2^8 - 25*T1^8*T2^8 - 15*T1^9*T2^8 + 23*T1^10*T2^8 - 
      4*T1^11*T2^8 + 2*T1^12*T2^8 - T1^3*T2^9 - 4*T1^4*T2^9 - 11*T1^5*T2^9 + 
      28*T1^6*T2^9 - 15*T1^7*T2^9 - 15*T1^8*T2^9 + 28*T1^9*T2^9 - 
      11*T1^10*T2^9 - 4*T1^11*T2^9 - T1^12*T2^9 + 2*T1^4*T2^10 + 
      4*T1^5*T2^10 - 3*T1^6*T2^10 - 11*T1^7*T2^10 + 23*T1^8*T2^10 - 
      11*T1^9*T2^10 - 3*T1^10*T2^10 + 4*T1^11*T2^10 + 2*T1^12*T2^10 - 
      2*T1^5*T2^11 + 4*T1^7*T2^11 - 4*T1^8*T2^11 - 4*T1^9*T2^11 + 
      4*T1^10*T2^11 - 2*T1^12*T2^11 + T1^6*T2^12 - 2*T1^7*T2^12 + 
      2*T1^8*T2^12 - T1^9*T2^12 + 2*T1^10*T2^12 - 2*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[10, 105] -> 
  {(1 - 8*T + 22*T^2 - 29*T^3 + 22*T^4 - 8*T^5 + T^6)/T^3, 
   (1 - 8*T1 + 22*T1^2 - 29*T1^3 + 22*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
     56*T1*T2 - 111*T1^2*T2 + 55*T1^3*T2 + 55*T1^4*T2 - 111*T1^5*T2 + 
     56*T1^6*T2 - 8*T1^7*T2 + 22*T2^2 - 111*T1*T2^2 + 2*T1^2*T2^2 + 
     539*T1^3*T2^2 - 804*T1^4*T2^2 + 539*T1^5*T2^2 + 2*T1^6*T2^2 - 
     111*T1^7*T2^2 + 22*T1^8*T2^2 - 29*T2^3 + 55*T1*T2^3 + 539*T1^2*T2^3 - 
     1466*T1^3*T2^3 + 731*T1^4*T2^3 + 731*T1^5*T2^3 - 1466*T1^6*T2^3 + 
     539*T1^7*T2^3 + 55*T1^8*T2^3 - 29*T1^9*T2^3 + 22*T2^4 + 55*T1*T2^4 - 
     804*T1^2*T2^4 + 731*T1^3*T2^4 + 2151*T1^4*T2^4 - 3579*T1^5*T2^4 + 
     2151*T1^6*T2^4 + 731*T1^7*T2^4 - 804*T1^8*T2^4 + 55*T1^9*T2^4 + 
     22*T1^10*T2^4 - 8*T2^5 - 111*T1*T2^5 + 539*T1^2*T2^5 + 731*T1^3*T2^5 - 
     3579*T1^4*T2^5 + 1878*T1^5*T2^5 + 1878*T1^6*T2^5 - 3579*T1^7*T2^5 + 
     731*T1^8*T2^5 + 539*T1^9*T2^5 - 111*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
     56*T1*T2^6 + 2*T1^2*T2^6 - 1466*T1^3*T2^6 + 2151*T1^4*T2^6 + 
     1878*T1^5*T2^6 - 3996*T1^6*T2^6 + 1878*T1^7*T2^6 + 2151*T1^8*T2^6 - 
     1466*T1^9*T2^6 + 2*T1^10*T2^6 + 56*T1^11*T2^6 + T1^12*T2^6 - 8*T1*T2^7 - 
     111*T1^2*T2^7 + 539*T1^3*T2^7 + 731*T1^4*T2^7 - 3579*T1^5*T2^7 + 
     1878*T1^6*T2^7 + 1878*T1^7*T2^7 - 3579*T1^8*T2^7 + 731*T1^9*T2^7 + 
     539*T1^10*T2^7 - 111*T1^11*T2^7 - 8*T1^12*T2^7 + 22*T1^2*T2^8 + 
     55*T1^3*T2^8 - 804*T1^4*T2^8 + 731*T1^5*T2^8 + 2151*T1^6*T2^8 - 
     3579*T1^7*T2^8 + 2151*T1^8*T2^8 + 731*T1^9*T2^8 - 804*T1^10*T2^8 + 
     55*T1^11*T2^8 + 22*T1^12*T2^8 - 29*T1^3*T2^9 + 55*T1^4*T2^9 + 
     539*T1^5*T2^9 - 1466*T1^6*T2^9 + 731*T1^7*T2^9 + 731*T1^8*T2^9 - 
     1466*T1^9*T2^9 + 539*T1^10*T2^9 + 55*T1^11*T2^9 - 29*T1^12*T2^9 + 
     22*T1^4*T2^10 - 111*T1^5*T2^10 + 2*T1^6*T2^10 + 539*T1^7*T2^10 - 
     804*T1^8*T2^10 + 539*T1^9*T2^10 + 2*T1^10*T2^10 - 111*T1^11*T2^10 + 
     22*T1^12*T2^10 - 8*T1^5*T2^11 + 56*T1^6*T2^11 - 111*T1^7*T2^11 + 
     55*T1^8*T2^11 + 55*T1^9*T2^11 - 111*T1^10*T2^11 + 56*T1^11*T2^11 - 
     8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 22*T1^8*T2^12 - 
     29*T1^9*T2^12 + 22*T1^10*T2^12 - 8*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[10, 106] -> 
  {-(((1 - T + T^2)*(-1 + T - 2*T^2 + T^3)*(-1 + 2*T - T^2 + T^3))/T^4), 
   -((1 - 4*T1 + 9*T1^2 - 15*T1^3 + 17*T1^4 - 15*T1^5 + 9*T1^6 - 4*T1^7 + 
      T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 24*T1^3*T2 - 8*T1^4*T2 - 
      8*T1^5*T2 + 24*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 9*T2^2 - 
      20*T1*T2^2 + 25*T1^2*T2^2 - 23*T1^3*T2^2 - 16*T1^4*T2^2 + 
      17*T1^5*T2^2 - 16*T1^6*T2^2 - 23*T1^7*T2^2 + 25*T1^8*T2^2 - 
      20*T1^9*T2^2 + 9*T1^10*T2^2 - 15*T2^3 + 24*T1*T2^3 - 23*T1^2*T2^3 + 
      18*T1^3*T2^3 + 44*T1^4*T2^3 - T1^5*T2^3 - T1^6*T2^3 + 44*T1^7*T2^3 + 
      18*T1^8*T2^3 - 23*T1^9*T2^3 + 24*T1^10*T2^3 - 15*T1^11*T2^3 + 17*T2^4 - 
      8*T1*T2^4 - 16*T1^2*T2^4 + 44*T1^3*T2^4 - 134*T1^4*T2^4 + 
      27*T1^5*T2^4 - 58*T1^6*T2^4 + 27*T1^7*T2^4 - 134*T1^8*T2^4 + 
      44*T1^9*T2^4 - 16*T1^10*T2^4 - 8*T1^11*T2^4 + 17*T1^12*T2^4 - 15*T2^5 - 
      8*T1*T2^5 + 17*T1^2*T2^5 - T1^3*T2^5 + 27*T1^4*T2^5 + 158*T1^5*T2^5 - 
      15*T1^6*T2^5 - 15*T1^7*T2^5 + 158*T1^8*T2^5 + 27*T1^9*T2^5 - 
      T1^10*T2^5 + 17*T1^11*T2^5 - 8*T1^12*T2^5 - 15*T1^13*T2^5 + 9*T2^6 + 
      24*T1*T2^6 - 16*T1^2*T2^6 - T1^3*T2^6 - 58*T1^4*T2^6 - 15*T1^5*T2^6 - 
      326*T1^6*T2^6 + 322*T1^7*T2^6 - 326*T1^8*T2^6 - 15*T1^9*T2^6 - 
      58*T1^10*T2^6 - T1^11*T2^6 - 16*T1^12*T2^6 + 24*T1^13*T2^6 + 
      9*T1^14*T2^6 - 4*T2^7 - 20*T1*T2^7 - 23*T1^2*T2^7 + 44*T1^3*T2^7 + 
      27*T1^4*T2^7 - 15*T1^5*T2^7 + 322*T1^6*T2^7 - 70*T1^7*T2^7 - 
      70*T1^8*T2^7 + 322*T1^9*T2^7 - 15*T1^10*T2^7 + 27*T1^11*T2^7 + 
      44*T1^12*T2^7 - 23*T1^13*T2^7 - 20*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 
      12*T1*T2^8 + 25*T1^2*T2^8 + 18*T1^3*T2^8 - 134*T1^4*T2^8 + 
      158*T1^5*T2^8 - 326*T1^6*T2^8 - 70*T1^7*T2^8 + 84*T1^8*T2^8 - 
      70*T1^9*T2^8 - 326*T1^10*T2^8 + 158*T1^11*T2^8 - 134*T1^12*T2^8 + 
      18*T1^13*T2^8 + 25*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 
      4*T1*T2^9 - 20*T1^2*T2^9 - 23*T1^3*T2^9 + 44*T1^4*T2^9 + 27*T1^5*T2^9 - 
      15*T1^6*T2^9 + 322*T1^7*T2^9 - 70*T1^8*T2^9 - 70*T1^9*T2^9 + 
      322*T1^10*T2^9 - 15*T1^11*T2^9 + 27*T1^12*T2^9 + 44*T1^13*T2^9 - 
      23*T1^14*T2^9 - 20*T1^15*T2^9 - 4*T1^16*T2^9 + 9*T1^2*T2^10 + 
      24*T1^3*T2^10 - 16*T1^4*T2^10 - T1^5*T2^10 - 58*T1^6*T2^10 - 
      15*T1^7*T2^10 - 326*T1^8*T2^10 + 322*T1^9*T2^10 - 326*T1^10*T2^10 - 
      15*T1^11*T2^10 - 58*T1^12*T2^10 - T1^13*T2^10 - 16*T1^14*T2^10 + 
      24*T1^15*T2^10 + 9*T1^16*T2^10 - 15*T1^3*T2^11 - 8*T1^4*T2^11 + 
      17*T1^5*T2^11 - T1^6*T2^11 + 27*T1^7*T2^11 + 158*T1^8*T2^11 - 
      15*T1^9*T2^11 - 15*T1^10*T2^11 + 158*T1^11*T2^11 + 27*T1^12*T2^11 - 
      T1^13*T2^11 + 17*T1^14*T2^11 - 8*T1^15*T2^11 - 15*T1^16*T2^11 + 
      17*T1^4*T2^12 - 8*T1^5*T2^12 - 16*T1^6*T2^12 + 44*T1^7*T2^12 - 
      134*T1^8*T2^12 + 27*T1^9*T2^12 - 58*T1^10*T2^12 + 27*T1^11*T2^12 - 
      134*T1^12*T2^12 + 44*T1^13*T2^12 - 16*T1^14*T2^12 - 8*T1^15*T2^12 + 
      17*T1^16*T2^12 - 15*T1^5*T2^13 + 24*T1^6*T2^13 - 23*T1^7*T2^13 + 
      18*T1^8*T2^13 + 44*T1^9*T2^13 - T1^10*T2^13 - T1^11*T2^13 + 
      44*T1^12*T2^13 + 18*T1^13*T2^13 - 23*T1^14*T2^13 + 24*T1^15*T2^13 - 
      15*T1^16*T2^13 + 9*T1^6*T2^14 - 20*T1^7*T2^14 + 25*T1^8*T2^14 - 
      23*T1^9*T2^14 - 16*T1^10*T2^14 + 17*T1^11*T2^14 - 16*T1^12*T2^14 - 
      23*T1^13*T2^14 + 25*T1^14*T2^14 - 20*T1^15*T2^14 + 9*T1^16*T2^14 - 
      4*T1^7*T2^15 + 12*T1^8*T2^15 - 20*T1^9*T2^15 + 24*T1^10*T2^15 - 
      8*T1^11*T2^15 - 8*T1^12*T2^15 + 24*T1^13*T2^15 - 20*T1^14*T2^15 + 
      12*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 
      9*T1^10*T2^16 - 15*T1^11*T2^16 + 17*T1^12*T2^16 - 15*T1^13*T2^16 + 
      9*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[10, 107] -> {-((1 - 8*T + 22*T^2 - 31*T^3 + 22*T^4 - 8*T^5 + T^6)/T^3), 
   -((T1 - T1^2 - T1^3 + T1^4 + T2 - 4*T1*T2 - 9*T1^2*T2 + 26*T1^3*T2 - 
      9*T1^4*T2 - 4*T1^5*T2 + T1^6*T2 - T2^2 - 9*T1*T2^2 + 64*T1^2*T2^2 - 
      60*T1^3*T2^2 - 60*T1^4*T2^2 + 64*T1^5*T2^2 - 9*T1^6*T2^2 - T1^7*T2^2 - 
      T2^3 + 26*T1*T2^3 - 60*T1^2*T2^3 - 119*T1^3*T2^3 + 339*T1^4*T2^3 - 
      119*T1^5*T2^3 - 60*T1^6*T2^3 + 26*T1^7*T2^3 - T1^8*T2^3 + T2^4 - 
      9*T1*T2^4 - 60*T1^2*T2^4 + 339*T1^3*T2^4 - 296*T1^4*T2^4 - 
      296*T1^5*T2^4 + 339*T1^6*T2^4 - 60*T1^7*T2^4 - 9*T1^8*T2^4 + 
      T1^9*T2^4 - 4*T1*T2^5 + 64*T1^2*T2^5 - 119*T1^3*T2^5 - 296*T1^4*T2^5 + 
      768*T1^5*T2^5 - 296*T1^6*T2^5 - 119*T1^7*T2^5 + 64*T1^8*T2^5 - 
      4*T1^9*T2^5 + T1*T2^6 - 9*T1^2*T2^6 - 60*T1^3*T2^6 + 339*T1^4*T2^6 - 
      296*T1^5*T2^6 - 296*T1^6*T2^6 + 339*T1^7*T2^6 - 60*T1^8*T2^6 - 
      9*T1^9*T2^6 + T1^10*T2^6 - T1^2*T2^7 + 26*T1^3*T2^7 - 60*T1^4*T2^7 - 
      119*T1^5*T2^7 + 339*T1^6*T2^7 - 119*T1^7*T2^7 - 60*T1^8*T2^7 + 
      26*T1^9*T2^7 - T1^10*T2^7 - T1^3*T2^8 - 9*T1^4*T2^8 + 64*T1^5*T2^8 - 
      60*T1^6*T2^8 - 60*T1^7*T2^8 + 64*T1^8*T2^8 - 9*T1^9*T2^8 - T1^10*T2^8 + 
      T1^4*T2^9 - 4*T1^5*T2^9 - 9*T1^6*T2^9 + 26*T1^7*T2^9 - 9*T1^8*T2^9 - 
      4*T1^9*T2^9 + T1^10*T2^9 + T1^6*T2^10 - T1^7*T2^10 - T1^8*T2^10 + 
      T1^9*T2^10)/(T1^5*T2^5))}, Knot[10, 108] -> 
  {(2 - 8*T + 14*T^2 - 15*T^3 + 14*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (7 - 28*T1 + 48*T1^2 - 51*T1^3 + 48*T1^4 - 28*T1^5 + 7*T1^6 - 28*T2 + 
     84*T1*T2 - 80*T1^2*T2 + 12*T1^3*T2 + 12*T1^4*T2 - 80*T1^5*T2 + 
     84*T1^6*T2 - 28*T1^7*T2 + 48*T2^2 - 80*T1*T2^2 - 82*T1^2*T2^2 + 
     264*T1^3*T2^2 - 220*T1^4*T2^2 + 264*T1^5*T2^2 - 82*T1^6*T2^2 - 
     80*T1^7*T2^2 + 48*T1^8*T2^2 - 51*T2^3 + 12*T1*T2^3 + 264*T1^2*T2^3 - 
     318*T1^3*T2^3 + 18*T1^4*T2^3 + 18*T1^5*T2^3 - 318*T1^6*T2^3 + 
     264*T1^7*T2^3 + 12*T1^8*T2^3 - 51*T1^9*T2^3 + 48*T2^4 + 12*T1*T2^4 - 
     220*T1^2*T2^4 + 18*T1^3*T2^4 + 387*T1^4*T2^4 - 309*T1^5*T2^4 + 
     387*T1^6*T2^4 + 18*T1^7*T2^4 - 220*T1^8*T2^4 + 12*T1^9*T2^4 + 
     48*T1^10*T2^4 - 28*T2^5 - 80*T1*T2^5 + 264*T1^2*T2^5 + 18*T1^3*T2^5 - 
     309*T1^4*T2^5 + 54*T1^5*T2^5 + 54*T1^6*T2^5 - 309*T1^7*T2^5 + 
     18*T1^8*T2^5 + 264*T1^9*T2^5 - 80*T1^10*T2^5 - 28*T1^11*T2^5 + 7*T2^6 + 
     84*T1*T2^6 - 82*T1^2*T2^6 - 318*T1^3*T2^6 + 387*T1^4*T2^6 + 
     54*T1^5*T2^6 - 120*T1^6*T2^6 + 54*T1^7*T2^6 + 387*T1^8*T2^6 - 
     318*T1^9*T2^6 - 82*T1^10*T2^6 + 84*T1^11*T2^6 + 7*T1^12*T2^6 - 
     28*T1*T2^7 - 80*T1^2*T2^7 + 264*T1^3*T2^7 + 18*T1^4*T2^7 - 
     309*T1^5*T2^7 + 54*T1^6*T2^7 + 54*T1^7*T2^7 - 309*T1^8*T2^7 + 
     18*T1^9*T2^7 + 264*T1^10*T2^7 - 80*T1^11*T2^7 - 28*T1^12*T2^7 + 
     48*T1^2*T2^8 + 12*T1^3*T2^8 - 220*T1^4*T2^8 + 18*T1^5*T2^8 + 
     387*T1^6*T2^8 - 309*T1^7*T2^8 + 387*T1^8*T2^8 + 18*T1^9*T2^8 - 
     220*T1^10*T2^8 + 12*T1^11*T2^8 + 48*T1^12*T2^8 - 51*T1^3*T2^9 + 
     12*T1^4*T2^9 + 264*T1^5*T2^9 - 318*T1^6*T2^9 + 18*T1^7*T2^9 + 
     18*T1^8*T2^9 - 318*T1^9*T2^9 + 264*T1^10*T2^9 + 12*T1^11*T2^9 - 
     51*T1^12*T2^9 + 48*T1^4*T2^10 - 80*T1^5*T2^10 - 82*T1^6*T2^10 + 
     264*T1^7*T2^10 - 220*T1^8*T2^10 + 264*T1^9*T2^10 - 82*T1^10*T2^10 - 
     80*T1^11*T2^10 + 48*T1^12*T2^10 - 28*T1^5*T2^11 + 84*T1^6*T2^11 - 
     80*T1^7*T2^11 + 12*T1^8*T2^11 + 12*T1^9*T2^11 - 80*T1^10*T2^11 + 
     84*T1^11*T2^11 - 28*T1^12*T2^11 + 7*T1^6*T2^12 - 28*T1^7*T2^12 + 
     48*T1^8*T2^12 - 51*T1^9*T2^12 + 48*T1^10*T2^12 - 28*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   0}, Knot[10, 110] -> {(1 - 8*T + 20*T^2 - 25*T^3 + 20*T^4 - 8*T^5 + T^6)/
    T^3, -((1 - 8*T1 + 20*T1^2 - 25*T1^3 + 20*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
      56*T1*T2 - 95*T1^2*T2 + 39*T1^3*T2 + 39*T1^4*T2 - 95*T1^5*T2 + 
      56*T1^6*T2 - 8*T1^7*T2 + 20*T2^2 - 95*T1*T2^2 - 90*T1^2*T2^2 + 
      590*T1^3*T2^2 - 752*T1^4*T2^2 + 590*T1^5*T2^2 - 90*T1^6*T2^2 - 
      95*T1^7*T2^2 + 20*T1^8*T2^2 - 25*T2^3 + 39*T1*T2^3 + 590*T1^2*T2^3 - 
      1226*T1^3*T2^3 + 466*T1^4*T2^3 + 466*T1^5*T2^3 - 1226*T1^6*T2^3 + 
      590*T1^7*T2^3 + 39*T1^8*T2^3 - 25*T1^9*T2^3 + 20*T2^4 + 39*T1*T2^4 - 
      752*T1^2*T2^4 + 466*T1^3*T2^4 + 1694*T1^4*T2^4 - 2326*T1^5*T2^4 + 
      1694*T1^6*T2^4 + 466*T1^7*T2^4 - 752*T1^8*T2^4 + 39*T1^9*T2^4 + 
      20*T1^10*T2^4 - 8*T2^5 - 95*T1*T2^5 + 590*T1^2*T2^5 + 466*T1^3*T2^5 - 
      2326*T1^4*T2^5 + 956*T1^5*T2^5 + 956*T1^6*T2^5 - 2326*T1^7*T2^5 + 
      466*T1^8*T2^5 + 590*T1^9*T2^5 - 95*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
      56*T1*T2^6 - 90*T1^2*T2^6 - 1226*T1^3*T2^6 + 1694*T1^4*T2^6 + 
      956*T1^5*T2^6 - 1872*T1^6*T2^6 + 956*T1^7*T2^6 + 1694*T1^8*T2^6 - 
      1226*T1^9*T2^6 - 90*T1^10*T2^6 + 56*T1^11*T2^6 + T1^12*T2^6 - 
      8*T1*T2^7 - 95*T1^2*T2^7 + 590*T1^3*T2^7 + 466*T1^4*T2^7 - 
      2326*T1^5*T2^7 + 956*T1^6*T2^7 + 956*T1^7*T2^7 - 2326*T1^8*T2^7 + 
      466*T1^9*T2^7 + 590*T1^10*T2^7 - 95*T1^11*T2^7 - 8*T1^12*T2^7 + 
      20*T1^2*T2^8 + 39*T1^3*T2^8 - 752*T1^4*T2^8 + 466*T1^5*T2^8 + 
      1694*T1^6*T2^8 - 2326*T1^7*T2^8 + 1694*T1^8*T2^8 + 466*T1^9*T2^8 - 
      752*T1^10*T2^8 + 39*T1^11*T2^8 + 20*T1^12*T2^8 - 25*T1^3*T2^9 + 
      39*T1^4*T2^9 + 590*T1^5*T2^9 - 1226*T1^6*T2^9 + 466*T1^7*T2^9 + 
      466*T1^8*T2^9 - 1226*T1^9*T2^9 + 590*T1^10*T2^9 + 39*T1^11*T2^9 - 
      25*T1^12*T2^9 + 20*T1^4*T2^10 - 95*T1^5*T2^10 - 90*T1^6*T2^10 + 
      590*T1^7*T2^10 - 752*T1^8*T2^10 + 590*T1^9*T2^10 - 90*T1^10*T2^10 - 
      95*T1^11*T2^10 + 20*T1^12*T2^10 - 8*T1^5*T2^11 + 56*T1^6*T2^11 - 
      95*T1^7*T2^11 + 39*T1^8*T2^11 + 39*T1^9*T2^11 - 95*T1^10*T2^11 + 
      56*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
      20*T1^8*T2^12 - 25*T1^9*T2^12 + 20*T1^10*T2^12 - 8*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[10, 111] -> 
  {-(((2 - 3*T + 2*T^2)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^3), 
   -((17 - 75*T1 + 140*T1^2 - 173*T1^3 + 140*T1^4 - 75*T1^5 + 17*T1^6 - 
      75*T2 + 256*T1*T2 - 287*T1^2*T2 + 145*T1^3*T2 + 145*T1^4*T2 - 
      287*T1^5*T2 + 256*T1^6*T2 - 75*T1^7*T2 + 140*T2^2 - 287*T1*T2^2 - 
      166*T1^2*T2^2 + 704*T1^3*T2^2 - 1082*T1^4*T2^2 + 704*T1^5*T2^2 - 
      166*T1^6*T2^2 - 287*T1^7*T2^2 + 140*T1^8*T2^2 - 173*T2^3 + 
      145*T1*T2^3 + 704*T1^2*T2^3 - 892*T1^3*T2^3 + 575*T1^4*T2^3 + 
      575*T1^5*T2^3 - 892*T1^6*T2^3 + 704*T1^7*T2^3 + 145*T1^8*T2^3 - 
      173*T1^9*T2^3 + 140*T2^4 + 145*T1*T2^4 - 1082*T1^2*T2^4 + 
      575*T1^3*T2^4 + 65*T1^4*T2^4 - 925*T1^5*T2^4 + 65*T1^6*T2^4 + 
      575*T1^7*T2^4 - 1082*T1^8*T2^4 + 145*T1^9*T2^4 + 140*T1^10*T2^4 - 
      75*T2^5 - 287*T1*T2^5 + 704*T1^2*T2^5 + 575*T1^3*T2^5 - 925*T1^4*T2^5 + 
      842*T1^5*T2^5 + 842*T1^6*T2^5 - 925*T1^7*T2^5 + 575*T1^8*T2^5 + 
      704*T1^9*T2^5 - 287*T1^10*T2^5 - 75*T1^11*T2^5 + 17*T2^6 + 
      256*T1*T2^6 - 166*T1^2*T2^6 - 892*T1^3*T2^6 + 65*T1^4*T2^6 + 
      842*T1^5*T2^6 - 2076*T1^6*T2^6 + 842*T1^7*T2^6 + 65*T1^8*T2^6 - 
      892*T1^9*T2^6 - 166*T1^10*T2^6 + 256*T1^11*T2^6 + 17*T1^12*T2^6 - 
      75*T1*T2^7 - 287*T1^2*T2^7 + 704*T1^3*T2^7 + 575*T1^4*T2^7 - 
      925*T1^5*T2^7 + 842*T1^6*T2^7 + 842*T1^7*T2^7 - 925*T1^8*T2^7 + 
      575*T1^9*T2^7 + 704*T1^10*T2^7 - 287*T1^11*T2^7 - 75*T1^12*T2^7 + 
      140*T1^2*T2^8 + 145*T1^3*T2^8 - 1082*T1^4*T2^8 + 575*T1^5*T2^8 + 
      65*T1^6*T2^8 - 925*T1^7*T2^8 + 65*T1^8*T2^8 + 575*T1^9*T2^8 - 
      1082*T1^10*T2^8 + 145*T1^11*T2^8 + 140*T1^12*T2^8 - 173*T1^3*T2^9 + 
      145*T1^4*T2^9 + 704*T1^5*T2^9 - 892*T1^6*T2^9 + 575*T1^7*T2^9 + 
      575*T1^8*T2^9 - 892*T1^9*T2^9 + 704*T1^10*T2^9 + 145*T1^11*T2^9 - 
      173*T1^12*T2^9 + 140*T1^4*T2^10 - 287*T1^5*T2^10 - 166*T1^6*T2^10 + 
      704*T1^7*T2^10 - 1082*T1^8*T2^10 + 704*T1^9*T2^10 - 166*T1^10*T2^10 - 
      287*T1^11*T2^10 + 140*T1^12*T2^10 - 75*T1^5*T2^11 + 256*T1^6*T2^11 - 
      287*T1^7*T2^11 + 145*T1^8*T2^11 + 145*T1^9*T2^11 - 287*T1^10*T2^11 + 
      256*T1^11*T2^11 - 75*T1^12*T2^11 + 17*T1^6*T2^12 - 75*T1^7*T2^12 + 
      140*T1^8*T2^12 - 173*T1^9*T2^12 + 140*T1^10*T2^12 - 75*T1^11*T2^12 + 
      17*T1^12*T2^12)/(T1^6*T2^6))}, 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), 
   (1 - 5*T1 + 11*T1^2 - 17*T1^3 + 19*T1^4 - 17*T1^5 + 11*T1^6 - 5*T1^7 + 
     T1^8 - 5*T2 + 20*T1*T2 - 30*T1^2*T2 + 30*T1^3*T2 - 10*T1^4*T2 - 
     10*T1^5*T2 + 30*T1^6*T2 - 30*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
     11*T2^2 - 30*T1*T2^2 + 6*T1^2*T2^2 + 38*T1^3*T2^2 - 105*T1^4*T2^2 + 
     114*T1^5*T2^2 - 105*T1^6*T2^2 + 38*T1^7*T2^2 + 6*T1^8*T2^2 - 
     30*T1^9*T2^2 + 11*T1^10*T2^2 - 17*T2^3 + 30*T1*T2^3 + 38*T1^2*T2^3 - 
     78*T1^3*T2^3 + 119*T1^4*T2^3 - 25*T1^5*T2^3 - 25*T1^6*T2^3 + 
     119*T1^7*T2^3 - 78*T1^8*T2^3 + 38*T1^9*T2^3 + 30*T1^10*T2^3 - 
     17*T1^11*T2^3 + 19*T2^4 - 10*T1*T2^4 - 105*T1^2*T2^4 + 119*T1^3*T2^4 - 
     152*T1^4*T2^4 + 9*T1^5*T2^4 - 40*T1^6*T2^4 + 9*T1^7*T2^4 - 
     152*T1^8*T2^4 + 119*T1^9*T2^4 - 105*T1^10*T2^4 - 10*T1^11*T2^4 + 
     19*T1^12*T2^4 - 17*T2^5 - 10*T1*T2^5 + 114*T1^2*T2^5 - 25*T1^3*T2^5 + 
     9*T1^4*T2^5 + 164*T1^5*T2^5 - 10*T1^6*T2^5 - 10*T1^7*T2^5 + 
     164*T1^8*T2^5 + 9*T1^9*T2^5 - 25*T1^10*T2^5 + 114*T1^11*T2^5 - 
     10*T1^12*T2^5 - 17*T1^13*T2^5 + 11*T2^6 + 30*T1*T2^6 - 105*T1^2*T2^6 - 
     25*T1^3*T2^6 - 40*T1^4*T2^6 - 10*T1^5*T2^6 - 294*T1^6*T2^6 + 
     272*T1^7*T2^6 - 294*T1^8*T2^6 - 10*T1^9*T2^6 - 40*T1^10*T2^6 - 
     25*T1^11*T2^6 - 105*T1^12*T2^6 + 30*T1^13*T2^6 + 11*T1^14*T2^6 - 
     5*T2^7 - 30*T1*T2^7 + 38*T1^2*T2^7 + 119*T1^3*T2^7 + 9*T1^4*T2^7 - 
     10*T1^5*T2^7 + 272*T1^6*T2^7 - 52*T1^7*T2^7 - 52*T1^8*T2^7 + 
     272*T1^9*T2^7 - 10*T1^10*T2^7 + 9*T1^11*T2^7 + 119*T1^12*T2^7 + 
     38*T1^13*T2^7 - 30*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 
     6*T1^2*T2^8 - 78*T1^3*T2^8 - 152*T1^4*T2^8 + 164*T1^5*T2^8 - 
     294*T1^6*T2^8 - 52*T1^7*T2^8 + 60*T1^8*T2^8 - 52*T1^9*T2^8 - 
     294*T1^10*T2^8 + 164*T1^11*T2^8 - 152*T1^12*T2^8 - 78*T1^13*T2^8 + 
     6*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 30*T1^2*T2^9 + 
     38*T1^3*T2^9 + 119*T1^4*T2^9 + 9*T1^5*T2^9 - 10*T1^6*T2^9 + 
     272*T1^7*T2^9 - 52*T1^8*T2^9 - 52*T1^9*T2^9 + 272*T1^10*T2^9 - 
     10*T1^11*T2^9 + 9*T1^12*T2^9 + 119*T1^13*T2^9 + 38*T1^14*T2^9 - 
     30*T1^15*T2^9 - 5*T1^16*T2^9 + 11*T1^2*T2^10 + 30*T1^3*T2^10 - 
     105*T1^4*T2^10 - 25*T1^5*T2^10 - 40*T1^6*T2^10 - 10*T1^7*T2^10 - 
     294*T1^8*T2^10 + 272*T1^9*T2^10 - 294*T1^10*T2^10 - 10*T1^11*T2^10 - 
     40*T1^12*T2^10 - 25*T1^13*T2^10 - 105*T1^14*T2^10 + 30*T1^15*T2^10 + 
     11*T1^16*T2^10 - 17*T1^3*T2^11 - 10*T1^4*T2^11 + 114*T1^5*T2^11 - 
     25*T1^6*T2^11 + 9*T1^7*T2^11 + 164*T1^8*T2^11 - 10*T1^9*T2^11 - 
     10*T1^10*T2^11 + 164*T1^11*T2^11 + 9*T1^12*T2^11 - 25*T1^13*T2^11 + 
     114*T1^14*T2^11 - 10*T1^15*T2^11 - 17*T1^16*T2^11 + 19*T1^4*T2^12 - 
     10*T1^5*T2^12 - 105*T1^6*T2^12 + 119*T1^7*T2^12 - 152*T1^8*T2^12 + 
     9*T1^9*T2^12 - 40*T1^10*T2^12 + 9*T1^11*T2^12 - 152*T1^12*T2^12 + 
     119*T1^13*T2^12 - 105*T1^14*T2^12 - 10*T1^15*T2^12 + 19*T1^16*T2^12 - 
     17*T1^5*T2^13 + 30*T1^6*T2^13 + 38*T1^7*T2^13 - 78*T1^8*T2^13 + 
     119*T1^9*T2^13 - 25*T1^10*T2^13 - 25*T1^11*T2^13 + 119*T1^12*T2^13 - 
     78*T1^13*T2^13 + 38*T1^14*T2^13 + 30*T1^15*T2^13 - 17*T1^16*T2^13 + 
     11*T1^6*T2^14 - 30*T1^7*T2^14 + 6*T1^8*T2^14 + 38*T1^9*T2^14 - 
     105*T1^10*T2^14 + 114*T1^11*T2^14 - 105*T1^12*T2^14 + 38*T1^13*T2^14 + 
     6*T1^14*T2^14 - 30*T1^15*T2^14 + 11*T1^16*T2^14 - 5*T1^7*T2^15 + 
     20*T1^8*T2^15 - 30*T1^9*T2^15 + 30*T1^10*T2^15 - 10*T1^11*T2^15 - 
     10*T1^12*T2^15 + 30*T1^13*T2^15 - 30*T1^14*T2^15 + 20*T1^15*T2^15 - 
     5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 11*T1^10*T2^16 - 
     17*T1^11*T2^16 + 19*T1^12*T2^16 - 17*T1^13*T2^16 + 11*T1^14*T2^16 - 
     5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[10, 113] -> {((1 - T + T^2)*(2 - 9*T + 15*T^2 - 9*T^3 + 2*T^4))/T^3, 
   (9 - 48*T1 + 110*T1^2 - 137*T1^3 + 110*T1^4 - 48*T1^5 + 9*T1^6 - 48*T2 + 
     210*T1*T2 - 337*T1^2*T2 + 149*T1^3*T2 + 149*T1^4*T2 - 337*T1^5*T2 + 
     210*T1^6*T2 - 48*T1^7*T2 + 110*T2^2 - 337*T1*T2^2 + 94*T1^2*T2^2 + 
     915*T1^3*T2^2 - 1308*T1^4*T2^2 + 915*T1^5*T2^2 + 94*T1^6*T2^2 - 
     337*T1^7*T2^2 + 110*T1^8*T2^2 - 137*T2^3 + 149*T1*T2^3 + 915*T1^2*T2^3 - 
     2286*T1^3*T2^3 + 974*T1^4*T2^3 + 974*T1^5*T2^3 - 2286*T1^6*T2^3 + 
     915*T1^7*T2^3 + 149*T1^8*T2^3 - 137*T1^9*T2^3 + 110*T2^4 + 149*T1*T2^4 - 
     1308*T1^2*T2^4 + 974*T1^3*T2^4 + 3152*T1^4*T2^4 - 4576*T1^5*T2^4 + 
     3152*T1^6*T2^4 + 974*T1^7*T2^4 - 1308*T1^8*T2^4 + 149*T1^9*T2^4 + 
     110*T1^10*T2^4 - 48*T2^5 - 337*T1*T2^5 + 915*T1^2*T2^5 + 974*T1^3*T2^5 - 
     4576*T1^4*T2^5 + 1892*T1^5*T2^5 + 1892*T1^6*T2^5 - 4576*T1^7*T2^5 + 
     974*T1^8*T2^5 + 915*T1^9*T2^5 - 337*T1^10*T2^5 - 48*T1^11*T2^5 + 
     9*T2^6 + 210*T1*T2^6 + 94*T1^2*T2^6 - 2286*T1^3*T2^6 + 3152*T1^4*T2^6 + 
     1892*T1^5*T2^6 - 3456*T1^6*T2^6 + 1892*T1^7*T2^6 + 3152*T1^8*T2^6 - 
     2286*T1^9*T2^6 + 94*T1^10*T2^6 + 210*T1^11*T2^6 + 9*T1^12*T2^6 - 
     48*T1*T2^7 - 337*T1^2*T2^7 + 915*T1^3*T2^7 + 974*T1^4*T2^7 - 
     4576*T1^5*T2^7 + 1892*T1^6*T2^7 + 1892*T1^7*T2^7 - 4576*T1^8*T2^7 + 
     974*T1^9*T2^7 + 915*T1^10*T2^7 - 337*T1^11*T2^7 - 48*T1^12*T2^7 + 
     110*T1^2*T2^8 + 149*T1^3*T2^8 - 1308*T1^4*T2^8 + 974*T1^5*T2^8 + 
     3152*T1^6*T2^8 - 4576*T1^7*T2^8 + 3152*T1^8*T2^8 + 974*T1^9*T2^8 - 
     1308*T1^10*T2^8 + 149*T1^11*T2^8 + 110*T1^12*T2^8 - 137*T1^3*T2^9 + 
     149*T1^4*T2^9 + 915*T1^5*T2^9 - 2286*T1^6*T2^9 + 974*T1^7*T2^9 + 
     974*T1^8*T2^9 - 2286*T1^9*T2^9 + 915*T1^10*T2^9 + 149*T1^11*T2^9 - 
     137*T1^12*T2^9 + 110*T1^4*T2^10 - 337*T1^5*T2^10 + 94*T1^6*T2^10 + 
     915*T1^7*T2^10 - 1308*T1^8*T2^10 + 915*T1^9*T2^10 + 94*T1^10*T2^10 - 
     337*T1^11*T2^10 + 110*T1^12*T2^10 - 48*T1^5*T2^11 + 210*T1^6*T2^11 - 
     337*T1^7*T2^11 + 149*T1^8*T2^11 + 149*T1^9*T2^11 - 337*T1^10*T2^11 + 
     210*T1^11*T2^11 - 48*T1^12*T2^11 + 9*T1^6*T2^12 - 48*T1^7*T2^12 + 
     110*T1^8*T2^12 - 137*T1^9*T2^12 + 110*T1^10*T2^12 - 48*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, Knot[10, 114] -> 
  {-(((1 - T + T^2)*(2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4))/T^3), 
   (1 - 5*T1 + 10*T1^2 - 13*T1^3 + 10*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 25*T1^2*T2 + 15*T1^3*T2 + 15*T1^4*T2 - 25*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 10*T2^2 - 25*T1*T2^2 - 13*T1^2*T2^2 + 
     60*T1^3*T2^2 - 111*T1^4*T2^2 + 60*T1^5*T2^2 - 13*T1^6*T2^2 - 
     25*T1^7*T2^2 + 10*T1^8*T2^2 - 13*T2^3 + 15*T1*T2^3 + 60*T1^2*T2^3 - 
     50*T1^3*T2^3 + 61*T1^4*T2^3 + 61*T1^5*T2^3 - 50*T1^6*T2^3 + 
     60*T1^7*T2^3 + 15*T1^8*T2^3 - 13*T1^9*T2^3 + 10*T2^4 + 15*T1*T2^4 - 
     111*T1^2*T2^4 + 61*T1^3*T2^4 - 206*T1^4*T2^4 + 136*T1^5*T2^4 - 
     206*T1^6*T2^4 + 61*T1^7*T2^4 - 111*T1^8*T2^4 + 15*T1^9*T2^4 + 
     10*T1^10*T2^4 - 5*T2^5 - 25*T1*T2^5 + 60*T1^2*T2^5 + 61*T1^3*T2^5 + 
     136*T1^4*T2^5 + 36*T1^5*T2^5 + 36*T1^6*T2^5 + 136*T1^7*T2^5 + 
     61*T1^8*T2^5 + 60*T1^9*T2^5 - 25*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 - 13*T1^2*T2^6 - 50*T1^3*T2^6 - 206*T1^4*T2^6 + 
     36*T1^5*T2^6 - 192*T1^6*T2^6 + 36*T1^7*T2^6 - 206*T1^8*T2^6 - 
     50*T1^9*T2^6 - 13*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     25*T1^2*T2^7 + 60*T1^3*T2^7 + 61*T1^4*T2^7 + 136*T1^5*T2^7 + 
     36*T1^6*T2^7 + 36*T1^7*T2^7 + 136*T1^8*T2^7 + 61*T1^9*T2^7 + 
     60*T1^10*T2^7 - 25*T1^11*T2^7 - 5*T1^12*T2^7 + 10*T1^2*T2^8 + 
     15*T1^3*T2^8 - 111*T1^4*T2^8 + 61*T1^5*T2^8 - 206*T1^6*T2^8 + 
     136*T1^7*T2^8 - 206*T1^8*T2^8 + 61*T1^9*T2^8 - 111*T1^10*T2^8 + 
     15*T1^11*T2^8 + 10*T1^12*T2^8 - 13*T1^3*T2^9 + 15*T1^4*T2^9 + 
     60*T1^5*T2^9 - 50*T1^6*T2^9 + 61*T1^7*T2^9 + 61*T1^8*T2^9 - 
     50*T1^9*T2^9 + 60*T1^10*T2^9 + 15*T1^11*T2^9 - 13*T1^12*T2^9 + 
     10*T1^4*T2^10 - 25*T1^5*T2^10 - 13*T1^6*T2^10 + 60*T1^7*T2^10 - 
     111*T1^8*T2^10 + 60*T1^9*T2^10 - 13*T1^10*T2^10 - 25*T1^11*T2^10 + 
     10*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 25*T1^7*T2^11 + 
     15*T1^8*T2^11 + 15*T1^9*T2^11 - 25*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 10*T1^8*T2^12 - 
     13*T1^9*T2^12 + 10*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[10, 115] -> 
  {-((1 - 9*T + 26*T^2 - 37*T^3 + 26*T^4 - 9*T^5 + T^6)/T^3), 0}, 
 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), (1 - 5*T1 + 12*T1^2 - 19*T1^3 + 21*T1^4 - 19*T1^5 + 
     12*T1^6 - 5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 35*T1^2*T2 + 35*T1^3*T2 - 
     10*T1^4*T2 - 10*T1^5*T2 + 35*T1^6*T2 - 35*T1^7*T2 + 20*T1^8*T2 - 
     5*T1^9*T2 + 12*T2^2 - 35*T1*T2^2 + 29*T1^2*T2^2 + 20*T1^3*T2^2 - 
     95*T1^4*T2^2 + 91*T1^5*T2^2 - 95*T1^6*T2^2 + 20*T1^7*T2^2 + 
     29*T1^8*T2^2 - 35*T1^9*T2^2 + 12*T1^10*T2^2 - 19*T2^3 + 35*T1*T2^3 + 
     20*T1^2*T2^3 - 102*T1^3*T2^3 + 149*T1^4*T2^3 - 12*T1^5*T2^3 - 
     12*T1^6*T2^3 + 149*T1^7*T2^3 - 102*T1^8*T2^3 + 20*T1^9*T2^3 + 
     35*T1^10*T2^3 - 19*T1^11*T2^3 + 21*T2^4 - 10*T1*T2^4 - 95*T1^2*T2^4 + 
     149*T1^3*T2^4 - 110*T1^4*T2^4 - 119*T1^5*T2^4 + 18*T1^6*T2^4 - 
     119*T1^7*T2^4 - 110*T1^8*T2^4 + 149*T1^9*T2^4 - 95*T1^10*T2^4 - 
     10*T1^11*T2^4 + 21*T1^12*T2^4 - 19*T2^5 - 10*T1*T2^5 + 91*T1^2*T2^5 - 
     12*T1^3*T2^5 - 119*T1^4*T2^5 + 300*T1^5*T2^5 + 30*T1^6*T2^5 + 
     30*T1^7*T2^5 + 300*T1^8*T2^5 - 119*T1^9*T2^5 - 12*T1^10*T2^5 + 
     91*T1^11*T2^5 - 10*T1^12*T2^5 - 19*T1^13*T2^5 + 12*T2^6 + 35*T1*T2^6 - 
     95*T1^2*T2^6 - 12*T1^3*T2^6 + 18*T1^4*T2^6 + 30*T1^5*T2^6 - 
     517*T1^6*T2^6 + 341*T1^7*T2^6 - 517*T1^8*T2^6 + 30*T1^9*T2^6 + 
     18*T1^10*T2^6 - 12*T1^11*T2^6 - 95*T1^12*T2^6 + 35*T1^13*T2^6 + 
     12*T1^14*T2^6 - 5*T2^7 - 35*T1*T2^7 + 20*T1^2*T2^7 + 149*T1^3*T2^7 - 
     119*T1^4*T2^7 + 30*T1^5*T2^7 + 341*T1^6*T2^7 + 42*T1^7*T2^7 + 
     42*T1^8*T2^7 + 341*T1^9*T2^7 + 30*T1^10*T2^7 - 119*T1^11*T2^7 + 
     149*T1^12*T2^7 + 20*T1^13*T2^7 - 35*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 
     20*T1*T2^8 + 29*T1^2*T2^8 - 102*T1^3*T2^8 - 110*T1^4*T2^8 + 
     300*T1^5*T2^8 - 517*T1^6*T2^8 + 42*T1^7*T2^8 - 216*T1^8*T2^8 + 
     42*T1^9*T2^8 - 517*T1^10*T2^8 + 300*T1^11*T2^8 - 110*T1^12*T2^8 - 
     102*T1^13*T2^8 + 29*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 
     5*T1*T2^9 - 35*T1^2*T2^9 + 20*T1^3*T2^9 + 149*T1^4*T2^9 - 
     119*T1^5*T2^9 + 30*T1^6*T2^9 + 341*T1^7*T2^9 + 42*T1^8*T2^9 + 
     42*T1^9*T2^9 + 341*T1^10*T2^9 + 30*T1^11*T2^9 - 119*T1^12*T2^9 + 
     149*T1^13*T2^9 + 20*T1^14*T2^9 - 35*T1^15*T2^9 - 5*T1^16*T2^9 + 
     12*T1^2*T2^10 + 35*T1^3*T2^10 - 95*T1^4*T2^10 - 12*T1^5*T2^10 + 
     18*T1^6*T2^10 + 30*T1^7*T2^10 - 517*T1^8*T2^10 + 341*T1^9*T2^10 - 
     517*T1^10*T2^10 + 30*T1^11*T2^10 + 18*T1^12*T2^10 - 12*T1^13*T2^10 - 
     95*T1^14*T2^10 + 35*T1^15*T2^10 + 12*T1^16*T2^10 - 19*T1^3*T2^11 - 
     10*T1^4*T2^11 + 91*T1^5*T2^11 - 12*T1^6*T2^11 - 119*T1^7*T2^11 + 
     300*T1^8*T2^11 + 30*T1^9*T2^11 + 30*T1^10*T2^11 + 300*T1^11*T2^11 - 
     119*T1^12*T2^11 - 12*T1^13*T2^11 + 91*T1^14*T2^11 - 10*T1^15*T2^11 - 
     19*T1^16*T2^11 + 21*T1^4*T2^12 - 10*T1^5*T2^12 - 95*T1^6*T2^12 + 
     149*T1^7*T2^12 - 110*T1^8*T2^12 - 119*T1^9*T2^12 + 18*T1^10*T2^12 - 
     119*T1^11*T2^12 - 110*T1^12*T2^12 + 149*T1^13*T2^12 - 95*T1^14*T2^12 - 
     10*T1^15*T2^12 + 21*T1^16*T2^12 - 19*T1^5*T2^13 + 35*T1^6*T2^13 + 
     20*T1^7*T2^13 - 102*T1^8*T2^13 + 149*T1^9*T2^13 - 12*T1^10*T2^13 - 
     12*T1^11*T2^13 + 149*T1^12*T2^13 - 102*T1^13*T2^13 + 20*T1^14*T2^13 + 
     35*T1^15*T2^13 - 19*T1^16*T2^13 + 12*T1^6*T2^14 - 35*T1^7*T2^14 + 
     29*T1^8*T2^14 + 20*T1^9*T2^14 - 95*T1^10*T2^14 + 91*T1^11*T2^14 - 
     95*T1^12*T2^14 + 20*T1^13*T2^14 + 29*T1^14*T2^14 - 35*T1^15*T2^14 + 
     12*T1^16*T2^14 - 5*T1^7*T2^15 + 20*T1^8*T2^15 - 35*T1^9*T2^15 + 
     35*T1^10*T2^15 - 10*T1^11*T2^15 - 10*T1^12*T2^15 + 35*T1^13*T2^15 - 
     35*T1^14*T2^15 + 20*T1^15*T2^15 - 5*T1^16*T2^15 + T1^8*T2^16 - 
     5*T1^9*T2^16 + 12*T1^10*T2^16 - 19*T1^11*T2^16 + 21*T1^12*T2^16 - 
     19*T1^13*T2^16 + 12*T1^14*T2^16 - 5*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[10, 117] -> 
  {(2 - 10*T + 24*T^2 - 31*T^3 + 24*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (9 - 44*T1 + 104*T1^2 - 133*T1^3 + 104*T1^4 - 44*T1^5 + 9*T1^6 - 44*T2 + 
     172*T1*T2 - 295*T1^2*T2 + 143*T1^3*T2 + 143*T1^4*T2 - 295*T1^5*T2 + 
     172*T1^6*T2 - 44*T1^7*T2 + 104*T2^2 - 295*T1*T2^2 + 241*T1^2*T2^2 + 
     493*T1^3*T2^2 - 861*T1^4*T2^2 + 493*T1^5*T2^2 + 241*T1^6*T2^2 - 
     295*T1^7*T2^2 + 104*T1^8*T2^2 - 133*T2^3 + 143*T1*T2^3 + 493*T1^2*T2^3 - 
     1678*T1^3*T2^3 + 847*T1^4*T2^3 + 847*T1^5*T2^3 - 1678*T1^6*T2^3 + 
     493*T1^7*T2^3 + 143*T1^8*T2^3 - 133*T1^9*T2^3 + 104*T2^4 + 143*T1*T2^4 - 
     861*T1^2*T2^4 + 847*T1^3*T2^4 + 2448*T1^4*T2^4 - 4036*T1^5*T2^4 + 
     2448*T1^6*T2^4 + 847*T1^7*T2^4 - 861*T1^8*T2^4 + 143*T1^9*T2^4 + 
     104*T1^10*T2^4 - 44*T2^5 - 295*T1*T2^5 + 493*T1^2*T2^5 + 847*T1^3*T2^5 - 
     4036*T1^4*T2^5 + 2048*T1^5*T2^5 + 2048*T1^6*T2^5 - 4036*T1^7*T2^5 + 
     847*T1^8*T2^5 + 493*T1^9*T2^5 - 295*T1^10*T2^5 - 44*T1^11*T2^5 + 
     9*T2^6 + 172*T1*T2^6 + 241*T1^2*T2^6 - 1678*T1^3*T2^6 + 2448*T1^4*T2^6 + 
     2048*T1^5*T2^6 - 4236*T1^6*T2^6 + 2048*T1^7*T2^6 + 2448*T1^8*T2^6 - 
     1678*T1^9*T2^6 + 241*T1^10*T2^6 + 172*T1^11*T2^6 + 9*T1^12*T2^6 - 
     44*T1*T2^7 - 295*T1^2*T2^7 + 493*T1^3*T2^7 + 847*T1^4*T2^7 - 
     4036*T1^5*T2^7 + 2048*T1^6*T2^7 + 2048*T1^7*T2^7 - 4036*T1^8*T2^7 + 
     847*T1^9*T2^7 + 493*T1^10*T2^7 - 295*T1^11*T2^7 - 44*T1^12*T2^7 + 
     104*T1^2*T2^8 + 143*T1^3*T2^8 - 861*T1^4*T2^8 + 847*T1^5*T2^8 + 
     2448*T1^6*T2^8 - 4036*T1^7*T2^8 + 2448*T1^8*T2^8 + 847*T1^9*T2^8 - 
     861*T1^10*T2^8 + 143*T1^11*T2^8 + 104*T1^12*T2^8 - 133*T1^3*T2^9 + 
     143*T1^4*T2^9 + 493*T1^5*T2^9 - 1678*T1^6*T2^9 + 847*T1^7*T2^9 + 
     847*T1^8*T2^9 - 1678*T1^9*T2^9 + 493*T1^10*T2^9 + 143*T1^11*T2^9 - 
     133*T1^12*T2^9 + 104*T1^4*T2^10 - 295*T1^5*T2^10 + 241*T1^6*T2^10 + 
     493*T1^7*T2^10 - 861*T1^8*T2^10 + 493*T1^9*T2^10 + 241*T1^10*T2^10 - 
     295*T1^11*T2^10 + 104*T1^12*T2^10 - 44*T1^5*T2^11 + 172*T1^6*T2^11 - 
     295*T1^7*T2^11 + 143*T1^8*T2^11 + 143*T1^9*T2^11 - 295*T1^10*T2^11 + 
     172*T1^11*T2^11 - 44*T1^12*T2^11 + 9*T1^6*T2^12 - 44*T1^7*T2^12 + 
     104*T1^8*T2^12 - 133*T1^9*T2^12 + 104*T1^10*T2^12 - 44*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   0}, Knot[10, 119] -> 
  {-((2 - 10*T + 23*T^2 - 31*T^3 + 23*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((1 - 4*T1 + 8*T1^2 - 11*T1^3 + 8*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 
      12*T1*T2 - 15*T1^2*T2 + 11*T1^3*T2 + 11*T1^4*T2 - 15*T1^5*T2 + 
      12*T1^6*T2 - 4*T1^7*T2 + 8*T2^2 - 15*T1*T2^2 + 9*T1^2*T2^2 - 
      20*T1^3*T2^2 - 3*T1^4*T2^2 - 20*T1^5*T2^2 + 9*T1^6*T2^2 - 
      15*T1^7*T2^2 + 8*T1^8*T2^2 - 11*T2^3 + 11*T1*T2^3 - 20*T1^2*T2^3 + 
      94*T1^3*T2^3 - 2*T1^4*T2^3 - 2*T1^5*T2^3 + 94*T1^6*T2^3 - 
      20*T1^7*T2^3 + 11*T1^8*T2^3 - 11*T1^9*T2^3 + 8*T2^4 + 11*T1*T2^4 - 
      3*T1^2*T2^4 - 2*T1^3*T2^4 - 339*T1^4*T2^4 + 277*T1^5*T2^4 - 
      339*T1^6*T2^4 - 2*T1^7*T2^4 - 3*T1^8*T2^4 + 11*T1^9*T2^4 + 
      8*T1^10*T2^4 - 4*T2^5 - 15*T1*T2^5 - 20*T1^2*T2^5 - 2*T1^3*T2^5 + 
      277*T1^4*T2^5 + 92*T1^5*T2^5 + 92*T1^6*T2^5 + 277*T1^7*T2^5 - 
      2*T1^8*T2^5 - 20*T1^9*T2^5 - 15*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 
      12*T1*T2^6 + 9*T1^2*T2^6 + 94*T1^3*T2^6 - 339*T1^4*T2^6 + 
      92*T1^5*T2^6 - 528*T1^6*T2^6 + 92*T1^7*T2^6 - 339*T1^8*T2^6 + 
      94*T1^9*T2^6 + 9*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 
      15*T1^2*T2^7 - 20*T1^3*T2^7 - 2*T1^4*T2^7 + 277*T1^5*T2^7 + 
      92*T1^6*T2^7 + 92*T1^7*T2^7 + 277*T1^8*T2^7 - 2*T1^9*T2^7 - 
      20*T1^10*T2^7 - 15*T1^11*T2^7 - 4*T1^12*T2^7 + 8*T1^2*T2^8 + 
      11*T1^3*T2^8 - 3*T1^4*T2^8 - 2*T1^5*T2^8 - 339*T1^6*T2^8 + 
      277*T1^7*T2^8 - 339*T1^8*T2^8 - 2*T1^9*T2^8 - 3*T1^10*T2^8 + 
      11*T1^11*T2^8 + 8*T1^12*T2^8 - 11*T1^3*T2^9 + 11*T1^4*T2^9 - 
      20*T1^5*T2^9 + 94*T1^6*T2^9 - 2*T1^7*T2^9 - 2*T1^8*T2^9 + 
      94*T1^9*T2^9 - 20*T1^10*T2^9 + 11*T1^11*T2^9 - 11*T1^12*T2^9 + 
      8*T1^4*T2^10 - 15*T1^5*T2^10 + 9*T1^6*T2^10 - 20*T1^7*T2^10 - 
      3*T1^8*T2^10 - 20*T1^9*T2^10 + 9*T1^10*T2^10 - 15*T1^11*T2^10 + 
      8*T1^12*T2^10 - 4*T1^5*T2^11 + 12*T1^6*T2^11 - 15*T1^7*T2^11 + 
      11*T1^8*T2^11 + 11*T1^9*T2^11 - 15*T1^10*T2^11 + 12*T1^11*T2^11 - 
      4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 8*T1^8*T2^12 - 
      11*T1^9*T2^12 + 8*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[10, 120] -> 
  {((2 - 3*T + 2*T^2)*(4 - 7*T + 4*T^2))/T^2, 
   -((1112 - 3534*T1 + 5010*T1^2 - 3534*T1^3 + 1112*T1^4 - 3534*T2 + 
      7744*T1*T2 - 4722*T1^2*T2 - 4722*T1^3*T2 + 7744*T1^4*T2 - 
      3534*T1^5*T2 + 5010*T2^2 - 4722*T1*T2^2 - 8557*T1^2*T2^2 + 
      19521*T1^3*T2^2 - 8557*T1^4*T2^2 - 4722*T1^5*T2^2 + 5010*T1^6*T2^2 - 
      3534*T2^3 - 4722*T1*T2^3 + 19521*T1^2*T2^3 - 13938*T1^3*T2^3 - 
      13938*T1^4*T2^3 + 19521*T1^5*T2^3 - 4722*T1^6*T2^3 - 3534*T1^7*T2^3 + 
      1112*T2^4 + 7744*T1*T2^4 - 8557*T1^2*T2^4 - 13938*T1^3*T2^4 + 
      33720*T1^4*T2^4 - 13938*T1^5*T2^4 - 8557*T1^6*T2^4 + 7744*T1^7*T2^4 + 
      1112*T1^8*T2^4 - 3534*T1*T2^5 - 4722*T1^2*T2^5 + 19521*T1^3*T2^5 - 
      13938*T1^4*T2^5 - 13938*T1^5*T2^5 + 19521*T1^6*T2^5 - 4722*T1^7*T2^5 - 
      3534*T1^8*T2^5 + 5010*T1^2*T2^6 - 4722*T1^3*T2^6 - 8557*T1^4*T2^6 + 
      19521*T1^5*T2^6 - 8557*T1^6*T2^6 - 4722*T1^7*T2^6 + 5010*T1^8*T2^6 - 
      3534*T1^3*T2^7 + 7744*T1^4*T2^7 - 4722*T1^5*T2^7 - 4722*T1^6*T2^7 + 
      7744*T1^7*T2^7 - 3534*T1^8*T2^7 + 1112*T1^4*T2^8 - 3534*T1^5*T2^8 + 
      5010*T1^6*T2^8 - 3534*T1^7*T2^8 + 1112*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[10, 121] -> {(2 - 11*T + 27*T^2 - 35*T^3 + 27*T^4 - 11*T^5 + 2*T^6)/
    T^3, -((9 - 48*T1 + 116*T1^2 - 149*T1^3 + 116*T1^4 - 48*T1^5 + 9*T1^6 - 
      48*T2 + 208*T1*T2 - 362*T1^2*T2 + 176*T1^3*T2 + 176*T1^4*T2 - 
      362*T1^5*T2 + 208*T1^6*T2 - 48*T1^7*T2 + 116*T2^2 - 362*T1*T2^2 + 
      230*T1^2*T2^2 + 801*T1^3*T2^2 - 1314*T1^4*T2^2 + 801*T1^5*T2^2 + 
      230*T1^6*T2^2 - 362*T1^7*T2^2 + 116*T1^8*T2^2 - 149*T2^3 + 
      176*T1*T2^3 + 801*T1^2*T2^3 - 2432*T1^3*T2^3 + 1218*T1^4*T2^3 + 
      1218*T1^5*T2^3 - 2432*T1^6*T2^3 + 801*T1^7*T2^3 + 176*T1^8*T2^3 - 
      149*T1^9*T2^3 + 116*T2^4 + 176*T1*T2^4 - 1314*T1^2*T2^4 + 
      1218*T1^3*T2^4 + 3457*T1^4*T2^4 - 5713*T1^5*T2^4 + 3457*T1^6*T2^4 + 
      1218*T1^7*T2^4 - 1314*T1^8*T2^4 + 176*T1^9*T2^4 + 116*T1^10*T2^4 - 
      48*T2^5 - 362*T1*T2^5 + 801*T1^2*T2^5 + 1218*T1^3*T2^5 - 
      5713*T1^4*T2^5 + 2906*T1^5*T2^5 + 2906*T1^6*T2^5 - 5713*T1^7*T2^5 + 
      1218*T1^8*T2^5 + 801*T1^9*T2^5 - 362*T1^10*T2^5 - 48*T1^11*T2^5 + 
      9*T2^6 + 208*T1*T2^6 + 230*T1^2*T2^6 - 2432*T1^3*T2^6 + 
      3457*T1^4*T2^6 + 2906*T1^5*T2^6 - 6024*T1^6*T2^6 + 2906*T1^7*T2^6 + 
      3457*T1^8*T2^6 - 2432*T1^9*T2^6 + 230*T1^10*T2^6 + 208*T1^11*T2^6 + 
      9*T1^12*T2^6 - 48*T1*T2^7 - 362*T1^2*T2^7 + 801*T1^3*T2^7 + 
      1218*T1^4*T2^7 - 5713*T1^5*T2^7 + 2906*T1^6*T2^7 + 2906*T1^7*T2^7 - 
      5713*T1^8*T2^7 + 1218*T1^9*T2^7 + 801*T1^10*T2^7 - 362*T1^11*T2^7 - 
      48*T1^12*T2^7 + 116*T1^2*T2^8 + 176*T1^3*T2^8 - 1314*T1^4*T2^8 + 
      1218*T1^5*T2^8 + 3457*T1^6*T2^8 - 5713*T1^7*T2^8 + 3457*T1^8*T2^8 + 
      1218*T1^9*T2^8 - 1314*T1^10*T2^8 + 176*T1^11*T2^8 + 116*T1^12*T2^8 - 
      149*T1^3*T2^9 + 176*T1^4*T2^9 + 801*T1^5*T2^9 - 2432*T1^6*T2^9 + 
      1218*T1^7*T2^9 + 1218*T1^8*T2^9 - 2432*T1^9*T2^9 + 801*T1^10*T2^9 + 
      176*T1^11*T2^9 - 149*T1^12*T2^9 + 116*T1^4*T2^10 - 362*T1^5*T2^10 + 
      230*T1^6*T2^10 + 801*T1^7*T2^10 - 1314*T1^8*T2^10 + 801*T1^9*T2^10 + 
      230*T1^10*T2^10 - 362*T1^11*T2^10 + 116*T1^12*T2^10 - 48*T1^5*T2^11 + 
      208*T1^6*T2^11 - 362*T1^7*T2^11 + 176*T1^8*T2^11 + 176*T1^9*T2^11 - 
      362*T1^10*T2^11 + 208*T1^11*T2^11 - 48*T1^12*T2^11 + 9*T1^6*T2^12 - 
      48*T1^7*T2^12 + 116*T1^8*T2^12 - 149*T1^9*T2^12 + 116*T1^10*T2^12 - 
      48*T1^11*T2^12 + 9*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[10, 122] -> {-(((1 - 3*T + T^2)*(1 - T + T^2)*(2 - 3*T + 2*T^2))/T^3), 
   -((1 - 5*T1 + 10*T1^2 - 13*T1^3 + 10*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
      20*T1*T2 - 25*T1^2*T2 + 15*T1^3*T2 + 15*T1^4*T2 - 25*T1^5*T2 + 
      20*T1^6*T2 - 5*T1^7*T2 + 10*T2^2 - 25*T1*T2^2 - 17*T1^2*T2^2 + 
      68*T1^3*T2^2 - 123*T1^4*T2^2 + 68*T1^5*T2^2 - 17*T1^6*T2^2 - 
      25*T1^7*T2^2 + 10*T1^8*T2^2 - 13*T2^3 + 15*T1*T2^3 + 68*T1^2*T2^3 - 
      32*T1^3*T2^3 + 52*T1^4*T2^3 + 52*T1^5*T2^3 - 32*T1^6*T2^3 + 
      68*T1^7*T2^3 + 15*T1^8*T2^3 - 13*T1^9*T2^3 + 10*T2^4 + 15*T1*T2^4 - 
      123*T1^2*T2^4 + 52*T1^3*T2^4 - 423*T1^4*T2^4 + 485*T1^5*T2^4 - 
      423*T1^6*T2^4 + 52*T1^7*T2^4 - 123*T1^8*T2^4 + 15*T1^9*T2^4 + 
      10*T1^10*T2^4 - 5*T2^5 - 25*T1*T2^5 + 68*T1^2*T2^5 + 52*T1^3*T2^5 + 
      485*T1^4*T2^5 - 180*T1^5*T2^5 - 180*T1^6*T2^5 + 485*T1^7*T2^5 + 
      52*T1^8*T2^5 + 68*T1^9*T2^5 - 25*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
      20*T1*T2^6 - 17*T1^2*T2^6 - 32*T1^3*T2^6 - 423*T1^4*T2^6 - 
      180*T1^5*T2^6 + 312*T1^6*T2^6 - 180*T1^7*T2^6 - 423*T1^8*T2^6 - 
      32*T1^9*T2^6 - 17*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
      25*T1^2*T2^7 + 68*T1^3*T2^7 + 52*T1^4*T2^7 + 485*T1^5*T2^7 - 
      180*T1^6*T2^7 - 180*T1^7*T2^7 + 485*T1^8*T2^7 + 52*T1^9*T2^7 + 
      68*T1^10*T2^7 - 25*T1^11*T2^7 - 5*T1^12*T2^7 + 10*T1^2*T2^8 + 
      15*T1^3*T2^8 - 123*T1^4*T2^8 + 52*T1^5*T2^8 - 423*T1^6*T2^8 + 
      485*T1^7*T2^8 - 423*T1^8*T2^8 + 52*T1^9*T2^8 - 123*T1^10*T2^8 + 
      15*T1^11*T2^8 + 10*T1^12*T2^8 - 13*T1^3*T2^9 + 15*T1^4*T2^9 + 
      68*T1^5*T2^9 - 32*T1^6*T2^9 + 52*T1^7*T2^9 + 52*T1^8*T2^9 - 
      32*T1^9*T2^9 + 68*T1^10*T2^9 + 15*T1^11*T2^9 - 13*T1^12*T2^9 + 
      10*T1^4*T2^10 - 25*T1^5*T2^10 - 17*T1^6*T2^10 + 68*T1^7*T2^10 - 
      123*T1^8*T2^10 + 68*T1^9*T2^10 - 17*T1^10*T2^10 - 25*T1^11*T2^10 + 
      10*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 25*T1^7*T2^11 + 
      15*T1^8*T2^11 + 15*T1^9*T2^11 - 25*T1^10*T2^11 + 20*T1^11*T2^11 - 
      5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 10*T1^8*T2^12 - 
      13*T1^9*T2^12 + 10*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[10, 123] -> {(1 - 3*T + 3*T^2 - 3*T^3 + T^4)^2/T^4, 
   0}, Knot[10, 124] -> {(1 - T + T^3 - T^4 + T^5 - T^7 + T^8)/T^4, 
   (4 - 4*T1 + 4*T1^3 - 4*T1^4 + 4*T1^5 - 4*T1^7 + 4*T1^8 - 4*T2 + 
     4*T1^2*T2 - 4*T1^3*T2 - 4*T1^6*T2 + 4*T1^7*T2 - 4*T1^9*T2 + 4*T1*T2^2 - 
     4*T1^2*T2^2 + 4*T1^4*T2^2 - 4*T1^5*T2^2 + 4*T1^6*T2^2 - 4*T1^8*T2^2 + 
     4*T1^9*T2^2 + 4*T2^3 - 4*T1*T2^3 + 6*T1^3*T2^3 - 6*T1^4*T2^3 + 
     3*T1^5*T2^3 + 3*T1^6*T2^3 - 6*T1^7*T2^3 + 6*T1^8*T2^3 - 4*T1^10*T2^3 + 
     4*T1^11*T2^3 - 4*T2^4 + 4*T1^2*T2^4 - 6*T1^3*T2^4 + 3*T1^5*T2^4 - 
     6*T1^6*T2^4 + 3*T1^7*T2^4 - 6*T1^9*T2^4 + 4*T1^10*T2^4 - 4*T1^12*T2^4 + 
     4*T2^5 - 4*T1^2*T2^5 + 3*T1^3*T2^5 + 3*T1^4*T2^5 - 2*T1^5*T2^5 + 
     T1^6*T2^5 + T1^7*T2^5 - 2*T1^8*T2^5 + 3*T1^9*T2^5 + 3*T1^10*T2^5 - 
     4*T1^11*T2^5 + 4*T1^13*T2^5 - 4*T1*T2^6 + 4*T1^2*T2^6 + 3*T1^3*T2^6 - 
     6*T1^4*T2^6 + T1^5*T2^6 + 2*T1^6*T2^6 - 2*T1^7*T2^6 + 2*T1^8*T2^6 + 
     T1^9*T2^6 - 6*T1^10*T2^6 + 3*T1^11*T2^6 + 4*T1^12*T2^6 - 4*T1^13*T2^6 - 
     4*T2^7 + 4*T1*T2^7 - 6*T1^3*T2^7 + 3*T1^4*T2^7 + T1^5*T2^7 - 
     2*T1^6*T2^7 - 2*T1^9*T2^7 + T1^10*T2^7 + 3*T1^11*T2^7 - 6*T1^12*T2^7 + 
     4*T1^14*T2^7 - 4*T1^15*T2^7 + 4*T2^8 - 4*T1^2*T2^8 + 6*T1^3*T2^8 - 
     2*T1^5*T2^8 + 2*T1^6*T2^8 + 2*T1^10*T2^8 - 2*T1^11*T2^8 + 6*T1^13*T2^8 - 
     4*T1^14*T2^8 + 4*T1^16*T2^8 - 4*T1*T2^9 + 4*T1^2*T2^9 - 6*T1^4*T2^9 + 
     3*T1^5*T2^9 + T1^6*T2^9 - 2*T1^7*T2^9 - 2*T1^10*T2^9 + T1^11*T2^9 + 
     3*T1^12*T2^9 - 6*T1^13*T2^9 + 4*T1^15*T2^9 - 4*T1^16*T2^9 - 
     4*T1^3*T2^10 + 4*T1^4*T2^10 + 3*T1^5*T2^10 - 6*T1^6*T2^10 + T1^7*T2^10 + 
     2*T1^8*T2^10 - 2*T1^9*T2^10 + 2*T1^10*T2^10 + T1^11*T2^10 - 
     6*T1^12*T2^10 + 3*T1^13*T2^10 + 4*T1^14*T2^10 - 4*T1^15*T2^10 + 
     4*T1^3*T2^11 - 4*T1^5*T2^11 + 3*T1^6*T2^11 + 3*T1^7*T2^11 - 
     2*T1^8*T2^11 + T1^9*T2^11 + T1^10*T2^11 - 2*T1^11*T2^11 + 
     3*T1^12*T2^11 + 3*T1^13*T2^11 - 4*T1^14*T2^11 + 4*T1^16*T2^11 - 
     4*T1^4*T2^12 + 4*T1^6*T2^12 - 6*T1^7*T2^12 + 3*T1^9*T2^12 - 
     6*T1^10*T2^12 + 3*T1^11*T2^12 - 6*T1^13*T2^12 + 4*T1^14*T2^12 - 
     4*T1^16*T2^12 + 4*T1^5*T2^13 - 4*T1^6*T2^13 + 6*T1^8*T2^13 - 
     6*T1^9*T2^13 + 3*T1^10*T2^13 + 3*T1^11*T2^13 - 6*T1^12*T2^13 + 
     6*T1^13*T2^13 - 4*T1^15*T2^13 + 4*T1^16*T2^13 + 4*T1^7*T2^14 - 
     4*T1^8*T2^14 + 4*T1^10*T2^14 - 4*T1^11*T2^14 + 4*T1^12*T2^14 - 
     4*T1^14*T2^14 + 4*T1^15*T2^14 - 4*T1^7*T2^15 + 4*T1^9*T2^15 - 
     4*T1^10*T2^15 - 4*T1^13*T2^15 + 4*T1^14*T2^15 - 4*T1^16*T2^15 + 
     4*T1^8*T2^16 - 4*T1^9*T2^16 + 4*T1^11*T2^16 - 4*T1^12*T2^16 + 
     4*T1^13*T2^16 - 4*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[10, 125] -> {(1 - 2*T + 2*T^2 - T^3 + 2*T^4 - 2*T^5 + T^6)/T^3, 
   (1 - 2*T1 + 2*T1^2 - T1^3 + 2*T1^4 - 2*T1^5 + T1^6 - 2*T2 + 2*T1*T2 - 
     2*T1^3*T2 - 2*T1^4*T2 + 2*T1^6*T2 - 2*T1^7*T2 + 2*T2^2 - 3*T1^2*T2^2 + 
     4*T1^3*T2^2 + T1^4*T2^2 + 4*T1^5*T2^2 - 3*T1^6*T2^2 + 2*T1^8*T2^2 - 
     T2^3 - 2*T1*T2^3 + 4*T1^2*T2^3 - 2*T1^3*T2^3 - 2*T1^4*T2^3 - 
     2*T1^5*T2^3 - 2*T1^6*T2^3 + 4*T1^7*T2^3 - 2*T1^8*T2^3 - T1^9*T2^3 + 
     2*T2^4 - 2*T1*T2^4 + T1^2*T2^4 - 2*T1^3*T2^4 - 3*T1^4*T2^4 + 
     7*T1^5*T2^4 - 3*T1^6*T2^4 - 2*T1^7*T2^4 + T1^8*T2^4 - 2*T1^9*T2^4 + 
     2*T1^10*T2^4 - 2*T2^5 + 4*T1^2*T2^5 - 2*T1^3*T2^5 + 7*T1^4*T2^5 - 
     2*T1^5*T2^5 - 2*T1^6*T2^5 + 7*T1^7*T2^5 - 2*T1^8*T2^5 + 4*T1^9*T2^5 - 
     2*T1^11*T2^5 + T2^6 + 2*T1*T2^6 - 3*T1^2*T2^6 - 2*T1^3*T2^6 - 
     3*T1^4*T2^6 - 2*T1^5*T2^6 - 2*T1^7*T2^6 - 3*T1^8*T2^6 - 2*T1^9*T2^6 - 
     3*T1^10*T2^6 + 2*T1^11*T2^6 + T1^12*T2^6 - 2*T1*T2^7 + 4*T1^3*T2^7 - 
     2*T1^4*T2^7 + 7*T1^5*T2^7 - 2*T1^6*T2^7 - 2*T1^7*T2^7 + 7*T1^8*T2^7 - 
     2*T1^9*T2^7 + 4*T1^10*T2^7 - 2*T1^12*T2^7 + 2*T1^2*T2^8 - 2*T1^3*T2^8 + 
     T1^4*T2^8 - 2*T1^5*T2^8 - 3*T1^6*T2^8 + 7*T1^7*T2^8 - 3*T1^8*T2^8 - 
     2*T1^9*T2^8 + T1^10*T2^8 - 2*T1^11*T2^8 + 2*T1^12*T2^8 - T1^3*T2^9 - 
     2*T1^4*T2^9 + 4*T1^5*T2^9 - 2*T1^6*T2^9 - 2*T1^7*T2^9 - 2*T1^8*T2^9 - 
     2*T1^9*T2^9 + 4*T1^10*T2^9 - 2*T1^11*T2^9 - T1^12*T2^9 + 2*T1^4*T2^10 - 
     3*T1^6*T2^10 + 4*T1^7*T2^10 + T1^8*T2^10 + 4*T1^9*T2^10 - 
     3*T1^10*T2^10 + 2*T1^12*T2^10 - 2*T1^5*T2^11 + 2*T1^6*T2^11 - 
     2*T1^8*T2^11 - 2*T1^9*T2^11 + 2*T1^11*T2^11 - 2*T1^12*T2^11 + 
     T1^6*T2^12 - 2*T1^7*T2^12 + 2*T1^8*T2^12 - T1^9*T2^12 + 2*T1^10*T2^12 - 
     2*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[10, 126] -> {(1 - 2*T + 4*T^2 - 5*T^3 + 4*T^4 - 2*T^5 + T^6)/T^3, 
   -((1 - 2*T1 + 4*T1^2 - 5*T1^3 + 4*T1^4 - 2*T1^5 + T1^6 - 2*T2 + 2*T1*T2 - 
      4*T1^2*T2 + 2*T1^3*T2 + 2*T1^4*T2 - 4*T1^5*T2 + 2*T1^6*T2 - 2*T1^7*T2 + 
      4*T2^2 - 4*T1*T2^2 + 17*T1^2*T2^2 - 19*T1^3*T2^2 + 19*T1^4*T2^2 - 
      19*T1^5*T2^2 + 17*T1^6*T2^2 - 4*T1^7*T2^2 + 4*T1^8*T2^2 - 5*T2^3 + 
      2*T1*T2^3 - 19*T1^2*T2^3 + 6*T1^3*T2^3 - T1^4*T2^3 - T1^5*T2^3 + 
      6*T1^6*T2^3 - 19*T1^7*T2^3 + 2*T1^8*T2^3 - 5*T1^9*T2^3 + 4*T2^4 + 
      2*T1*T2^4 + 19*T1^2*T2^4 - T1^3*T2^4 + 16*T1^4*T2^4 - 24*T1^5*T2^4 + 
      16*T1^6*T2^4 - T1^7*T2^4 + 19*T1^8*T2^4 + 2*T1^9*T2^4 + 4*T1^10*T2^4 - 
      2*T2^5 - 4*T1*T2^5 - 19*T1^2*T2^5 - T1^3*T2^5 - 24*T1^4*T2^5 + 
      12*T1^5*T2^5 + 12*T1^6*T2^5 - 24*T1^7*T2^5 - T1^8*T2^5 - 19*T1^9*T2^5 - 
      4*T1^10*T2^5 - 2*T1^11*T2^5 + T2^6 + 2*T1*T2^6 + 17*T1^2*T2^6 + 
      6*T1^3*T2^6 + 16*T1^4*T2^6 + 12*T1^5*T2^6 - 24*T1^6*T2^6 + 
      12*T1^7*T2^6 + 16*T1^8*T2^6 + 6*T1^9*T2^6 + 17*T1^10*T2^6 + 
      2*T1^11*T2^6 + T1^12*T2^6 - 2*T1*T2^7 - 4*T1^2*T2^7 - 19*T1^3*T2^7 - 
      T1^4*T2^7 - 24*T1^5*T2^7 + 12*T1^6*T2^7 + 12*T1^7*T2^7 - 24*T1^8*T2^7 - 
      T1^9*T2^7 - 19*T1^10*T2^7 - 4*T1^11*T2^7 - 2*T1^12*T2^7 + 4*T1^2*T2^8 + 
      2*T1^3*T2^8 + 19*T1^4*T2^8 - T1^5*T2^8 + 16*T1^6*T2^8 - 24*T1^7*T2^8 + 
      16*T1^8*T2^8 - T1^9*T2^8 + 19*T1^10*T2^8 + 2*T1^11*T2^8 + 
      4*T1^12*T2^8 - 5*T1^3*T2^9 + 2*T1^4*T2^9 - 19*T1^5*T2^9 + 6*T1^6*T2^9 - 
      T1^7*T2^9 - T1^8*T2^9 + 6*T1^9*T2^9 - 19*T1^10*T2^9 + 2*T1^11*T2^9 - 
      5*T1^12*T2^9 + 4*T1^4*T2^10 - 4*T1^5*T2^10 + 17*T1^6*T2^10 - 
      19*T1^7*T2^10 + 19*T1^8*T2^10 - 19*T1^9*T2^10 + 17*T1^10*T2^10 - 
      4*T1^11*T2^10 + 4*T1^12*T2^10 - 2*T1^5*T2^11 + 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 - 2*T1^12*T2^11 + T1^6*T2^12 - 2*T1^7*T2^12 + 
      4*T1^8*T2^12 - 5*T1^9*T2^12 + 4*T1^10*T2^12 - 2*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[10, 127] -> 
  {-((1 - 4*T + 6*T^2 - 7*T^3 + 6*T^4 - 4*T^5 + T^6)/T^3), 
   (2 - 8*T1 + 12*T1^2 - 14*T1^3 + 12*T1^4 - 8*T1^5 + 2*T1^6 - 8*T2 + 
     24*T1*T2 - 15*T1^2*T2 + 8*T1^3*T2 + 8*T1^4*T2 - 15*T1^5*T2 + 
     24*T1^6*T2 - 8*T1^7*T2 + 12*T2^2 - 15*T1*T2^2 - 50*T1^2*T2^2 + 
     67*T1^3*T2^2 - 90*T1^4*T2^2 + 67*T1^5*T2^2 - 50*T1^6*T2^2 - 
     15*T1^7*T2^2 + 12*T1^8*T2^2 - 14*T2^3 + 8*T1*T2^3 + 67*T1^2*T2^3 - 
     22*T1^3*T2^3 + 26*T1^4*T2^3 + 26*T1^5*T2^3 - 22*T1^6*T2^3 + 
     67*T1^7*T2^3 + 8*T1^8*T2^3 - 14*T1^9*T2^3 + 12*T2^4 + 8*T1*T2^4 - 
     90*T1^2*T2^4 + 26*T1^3*T2^4 - 75*T1^4*T2^4 + 35*T1^5*T2^4 - 
     75*T1^6*T2^4 + 26*T1^7*T2^4 - 90*T1^8*T2^4 + 8*T1^9*T2^4 + 
     12*T1^10*T2^4 - 8*T2^5 - 15*T1*T2^5 + 67*T1^2*T2^5 + 26*T1^3*T2^5 + 
     35*T1^4*T2^5 + 24*T1^5*T2^5 + 24*T1^6*T2^5 + 35*T1^7*T2^5 + 
     26*T1^8*T2^5 + 67*T1^9*T2^5 - 15*T1^10*T2^5 - 8*T1^11*T2^5 + 2*T2^6 + 
     24*T1*T2^6 - 50*T1^2*T2^6 - 22*T1^3*T2^6 - 75*T1^4*T2^6 + 24*T1^5*T2^6 - 
     84*T1^6*T2^6 + 24*T1^7*T2^6 - 75*T1^8*T2^6 - 22*T1^9*T2^6 - 
     50*T1^10*T2^6 + 24*T1^11*T2^6 + 2*T1^12*T2^6 - 8*T1*T2^7 - 
     15*T1^2*T2^7 + 67*T1^3*T2^7 + 26*T1^4*T2^7 + 35*T1^5*T2^7 + 
     24*T1^6*T2^7 + 24*T1^7*T2^7 + 35*T1^8*T2^7 + 26*T1^9*T2^7 + 
     67*T1^10*T2^7 - 15*T1^11*T2^7 - 8*T1^12*T2^7 + 12*T1^2*T2^8 + 
     8*T1^3*T2^8 - 90*T1^4*T2^8 + 26*T1^5*T2^8 - 75*T1^6*T2^8 + 
     35*T1^7*T2^8 - 75*T1^8*T2^8 + 26*T1^9*T2^8 - 90*T1^10*T2^8 + 
     8*T1^11*T2^8 + 12*T1^12*T2^8 - 14*T1^3*T2^9 + 8*T1^4*T2^9 + 
     67*T1^5*T2^9 - 22*T1^6*T2^9 + 26*T1^7*T2^9 + 26*T1^8*T2^9 - 
     22*T1^9*T2^9 + 67*T1^10*T2^9 + 8*T1^11*T2^9 - 14*T1^12*T2^9 + 
     12*T1^4*T2^10 - 15*T1^5*T2^10 - 50*T1^6*T2^10 + 67*T1^7*T2^10 - 
     90*T1^8*T2^10 + 67*T1^9*T2^10 - 50*T1^10*T2^10 - 15*T1^11*T2^10 + 
     12*T1^12*T2^10 - 8*T1^5*T2^11 + 24*T1^6*T2^11 - 15*T1^7*T2^11 + 
     8*T1^8*T2^11 + 8*T1^9*T2^11 - 15*T1^10*T2^11 + 24*T1^11*T2^11 - 
     8*T1^12*T2^11 + 2*T1^6*T2^12 - 8*T1^7*T2^12 + 12*T1^8*T2^12 - 
     14*T1^9*T2^12 + 12*T1^10*T2^12 - 8*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[10, 128] -> 
  {(2 - 3*T + T^2 + T^3 + T^4 - 3*T^5 + 2*T^6)/T^3, 
   (25 - 37*T1 + 12*T1^2 + 13*T1^3 + 12*T1^4 - 37*T1^5 + 25*T1^6 - 37*T2 + 
     18*T1*T2 + 37*T1^2*T2 - 37*T1^3*T2 - 37*T1^4*T2 + 37*T1^5*T2 + 
     18*T1^6*T2 - 37*T1^7*T2 + 12*T2^2 + 37*T1*T2^2 - 64*T1^2*T2^2 + 
     15*T1^3*T2^2 + 40*T1^4*T2^2 + 15*T1^5*T2^2 - 64*T1^6*T2^2 + 
     37*T1^7*T2^2 + 12*T1^8*T2^2 + 13*T2^3 - 37*T1*T2^3 + 15*T1^2*T2^3 + 
     32*T1^3*T2^3 - 27*T1^4*T2^3 - 27*T1^5*T2^3 + 32*T1^6*T2^3 + 
     15*T1^7*T2^3 - 37*T1^8*T2^3 + 13*T1^9*T2^3 + 12*T2^4 - 37*T1*T2^4 + 
     40*T1^2*T2^4 - 27*T1^3*T2^4 + 18*T1^4*T2^4 - 20*T1^5*T2^4 + 
     18*T1^6*T2^4 - 27*T1^7*T2^4 + 40*T1^8*T2^4 - 37*T1^9*T2^4 + 
     12*T1^10*T2^4 - 37*T2^5 + 37*T1*T2^5 + 15*T1^2*T2^5 - 27*T1^3*T2^5 - 
     20*T1^4*T2^5 + 22*T1^5*T2^5 + 22*T1^6*T2^5 - 20*T1^7*T2^5 - 
     27*T1^8*T2^5 + 15*T1^9*T2^5 + 37*T1^10*T2^5 - 37*T1^11*T2^5 + 25*T2^6 + 
     18*T1*T2^6 - 64*T1^2*T2^6 + 32*T1^3*T2^6 + 18*T1^4*T2^6 + 22*T1^5*T2^6 - 
     60*T1^6*T2^6 + 22*T1^7*T2^6 + 18*T1^8*T2^6 + 32*T1^9*T2^6 - 
     64*T1^10*T2^6 + 18*T1^11*T2^6 + 25*T1^12*T2^6 - 37*T1*T2^7 + 
     37*T1^2*T2^7 + 15*T1^3*T2^7 - 27*T1^4*T2^7 - 20*T1^5*T2^7 + 
     22*T1^6*T2^7 + 22*T1^7*T2^7 - 20*T1^8*T2^7 - 27*T1^9*T2^7 + 
     15*T1^10*T2^7 + 37*T1^11*T2^7 - 37*T1^12*T2^7 + 12*T1^2*T2^8 - 
     37*T1^3*T2^8 + 40*T1^4*T2^8 - 27*T1^5*T2^8 + 18*T1^6*T2^8 - 
     20*T1^7*T2^8 + 18*T1^8*T2^8 - 27*T1^9*T2^8 + 40*T1^10*T2^8 - 
     37*T1^11*T2^8 + 12*T1^12*T2^8 + 13*T1^3*T2^9 - 37*T1^4*T2^9 + 
     15*T1^5*T2^9 + 32*T1^6*T2^9 - 27*T1^7*T2^9 - 27*T1^8*T2^9 + 
     32*T1^9*T2^9 + 15*T1^10*T2^9 - 37*T1^11*T2^9 + 13*T1^12*T2^9 + 
     12*T1^4*T2^10 + 37*T1^5*T2^10 - 64*T1^6*T2^10 + 15*T1^7*T2^10 + 
     40*T1^8*T2^10 + 15*T1^9*T2^10 - 64*T1^10*T2^10 + 37*T1^11*T2^10 + 
     12*T1^12*T2^10 - 37*T1^5*T2^11 + 18*T1^6*T2^11 + 37*T1^7*T2^11 - 
     37*T1^8*T2^11 - 37*T1^9*T2^11 + 37*T1^10*T2^11 + 18*T1^11*T2^11 - 
     37*T1^12*T2^11 + 25*T1^6*T2^12 - 37*T1^7*T2^12 + 12*T1^8*T2^12 + 
     13*T1^9*T2^12 + 12*T1^10*T2^12 - 37*T1^11*T2^12 + 25*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[10, 129] -> {((2 - 2*T + T^2)*(1 - 2*T + 2*T^2))/T^2, 
   (1 - 2*T1 + 3*T1^2 - 2*T1^3 + T1^4 - 2*T2 + 4*T1*T2 - 2*T1^2*T2 - 
     2*T1^3*T2 + 4*T1^4*T2 - 2*T1^5*T2 + 3*T2^2 - 2*T1*T2^2 - 31*T1^2*T2^2 + 
     43*T1^3*T2^2 - 31*T1^4*T2^2 - 2*T1^5*T2^2 + 3*T1^6*T2^2 - 2*T2^3 - 
     2*T1*T2^3 + 43*T1^2*T2^3 - 14*T1^3*T2^3 - 14*T1^4*T2^3 + 43*T1^5*T2^3 - 
     2*T1^6*T2^3 - 2*T1^7*T2^3 + T2^4 + 4*T1*T2^4 - 31*T1^2*T2^4 - 
     14*T1^3*T2^4 + 12*T1^4*T2^4 - 14*T1^5*T2^4 - 31*T1^6*T2^4 + 
     4*T1^7*T2^4 + T1^8*T2^4 - 2*T1*T2^5 - 2*T1^2*T2^5 + 43*T1^3*T2^5 - 
     14*T1^4*T2^5 - 14*T1^5*T2^5 + 43*T1^6*T2^5 - 2*T1^7*T2^5 - 2*T1^8*T2^5 + 
     3*T1^2*T2^6 - 2*T1^3*T2^6 - 31*T1^4*T2^6 + 43*T1^5*T2^6 - 31*T1^6*T2^6 - 
     2*T1^7*T2^6 + 3*T1^8*T2^6 - 2*T1^3*T2^7 + 4*T1^4*T2^7 - 2*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 + 
     3*T1^6*T2^8 - 2*T1^7*T2^8 + T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[10, 130] -> {(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4)/T^2, 
   -((1 - 2*T1 + 3*T1^2 - 2*T1^3 + T1^4 - 2*T2 + 2*T1*T2 - 2*T1^2*T2 - 
      2*T1^3*T2 + 2*T1^4*T2 - 2*T1^5*T2 + 3*T2^2 - 2*T1*T2^2 + 40*T1^2*T2^2 - 
      58*T1^3*T2^2 + 40*T1^4*T2^2 - 2*T1^5*T2^2 + 3*T1^6*T2^2 - 2*T2^3 - 
      2*T1*T2^3 - 58*T1^2*T2^3 + 30*T1^3*T2^3 + 30*T1^4*T2^3 - 58*T1^5*T2^3 - 
      2*T1^6*T2^3 - 2*T1^7*T2^3 + T2^4 + 2*T1*T2^4 + 40*T1^2*T2^4 + 
      30*T1^3*T2^4 - 60*T1^4*T2^4 + 30*T1^5*T2^4 + 40*T1^6*T2^4 + 
      2*T1^7*T2^4 + T1^8*T2^4 - 2*T1*T2^5 - 2*T1^2*T2^5 - 58*T1^3*T2^5 + 
      30*T1^4*T2^5 + 30*T1^5*T2^5 - 58*T1^6*T2^5 - 2*T1^7*T2^5 - 
      2*T1^8*T2^5 + 3*T1^2*T2^6 - 2*T1^3*T2^6 + 40*T1^4*T2^6 - 58*T1^5*T2^6 + 
      40*T1^6*T2^6 - 2*T1^7*T2^6 + 3*T1^8*T2^6 - 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 + T1^4*T2^8 - 
      2*T1^5*T2^8 + 3*T1^6*T2^8 - 2*T1^7*T2^8 + T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[10, 131] -> {-((2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4)/T^2), 
   (9 - 36*T1 + 49*T1^2 - 36*T1^3 + 9*T1^4 - 36*T2 + 108*T1*T2 - 48*T1^2*T2 - 
     48*T1^3*T2 + 108*T1^4*T2 - 36*T1^5*T2 + 49*T2^2 - 48*T1*T2^2 - 
     284*T1^2*T2^2 + 398*T1^3*T2^2 - 284*T1^4*T2^2 - 48*T1^5*T2^2 + 
     49*T1^6*T2^2 - 36*T2^3 - 48*T1*T2^3 + 398*T1^2*T2^3 - 152*T1^3*T2^3 - 
     152*T1^4*T2^3 + 398*T1^5*T2^3 - 48*T1^6*T2^3 - 36*T1^7*T2^3 + 9*T2^4 + 
     108*T1*T2^4 - 284*T1^2*T2^4 - 152*T1^3*T2^4 + 240*T1^4*T2^4 - 
     152*T1^5*T2^4 - 284*T1^6*T2^4 + 108*T1^7*T2^4 + 9*T1^8*T2^4 - 
     36*T1*T2^5 - 48*T1^2*T2^5 + 398*T1^3*T2^5 - 152*T1^4*T2^5 - 
     152*T1^5*T2^5 + 398*T1^6*T2^5 - 48*T1^7*T2^5 - 36*T1^8*T2^5 + 
     49*T1^2*T2^6 - 48*T1^3*T2^6 - 284*T1^4*T2^6 + 398*T1^5*T2^6 - 
     284*T1^6*T2^6 - 48*T1^7*T2^6 + 49*T1^8*T2^6 - 36*T1^3*T2^7 + 
     108*T1^4*T2^7 - 48*T1^5*T2^7 - 48*T1^6*T2^7 + 108*T1^7*T2^7 - 
     36*T1^8*T2^7 + 9*T1^4*T2^8 - 36*T1^5*T2^8 + 49*T1^6*T2^8 - 
     36*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[10, 132] -> {(1 - T + T^2 - T^3 + T^4)/T^2, 
   -((2 - T1 - T1^2 + 2*T1^3 - T2 + 5*T1*T2 - 7*T1^2*T2 + 5*T1^3*T2 - 
      T1^4*T2 - T2^2 - 7*T1*T2^2 + 2*T1^2*T2^2 + 2*T1^3*T2^2 - 7*T1^4*T2^2 - 
      T1^5*T2^2 + 2*T2^3 + 5*T1*T2^3 + 2*T1^2*T2^3 + 2*T1^4*T2^3 + 
      5*T1^5*T2^3 + 2*T1^6*T2^3 - T1*T2^4 - 7*T1^2*T2^4 + 2*T1^3*T2^4 + 
      2*T1^4*T2^4 - 7*T1^5*T2^4 - T1^6*T2^4 - T1^2*T2^5 + 5*T1^3*T2^5 - 
      7*T1^4*T2^5 + 5*T1^5*T2^5 - T1^6*T2^5 + 2*T1^3*T2^6 - T1^4*T2^6 - 
      T1^5*T2^6 + 2*T1^6*T2^6)/(T1^3*T2^3))}, 
 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 + 22*T1*T2 - 9*T1^2*T2 - 
     9*T1^3*T2 + 22*T1^4*T2 - 5*T1^5*T2 + 7*T2^2 - 9*T1*T2^2 - 94*T1^2*T2^2 + 
     126*T1^3*T2^2 - 94*T1^4*T2^2 - 9*T1^5*T2^2 + 7*T1^6*T2^2 - 5*T2^3 - 
     9*T1*T2^3 + 126*T1^2*T2^3 - 44*T1^3*T2^3 - 44*T1^4*T2^3 + 
     126*T1^5*T2^3 - 9*T1^6*T2^3 - 5*T1^7*T2^3 + T2^4 + 22*T1*T2^4 - 
     94*T1^2*T2^4 - 44*T1^3*T2^4 + 60*T1^4*T2^4 - 44*T1^5*T2^4 - 
     94*T1^6*T2^4 + 22*T1^7*T2^4 + T1^8*T2^4 - 5*T1*T2^5 - 9*T1^2*T2^5 + 
     126*T1^3*T2^5 - 44*T1^4*T2^5 - 44*T1^5*T2^5 + 126*T1^6*T2^5 - 
     9*T1^7*T2^5 - 5*T1^8*T2^5 + 7*T1^2*T2^6 - 9*T1^3*T2^6 - 94*T1^4*T2^6 + 
     126*T1^5*T2^6 - 94*T1^6*T2^6 - 9*T1^7*T2^6 + 7*T1^8*T2^6 - 5*T1^3*T2^7 + 
     22*T1^4*T2^7 - 9*T1^5*T2^7 - 9*T1^6*T2^7 + 22*T1^7*T2^7 - 5*T1^8*T2^7 + 
     T1^4*T2^8 - 5*T1^5*T2^8 + 7*T1^6*T2^8 - 5*T1^7*T2^8 + T1^8*T2^8)/
    (T1^4*T2^4)}, Knot[10, 134] -> 
  {(2 - 4*T + 4*T^2 - 3*T^3 + 4*T^4 - 4*T^5 + 2*T^6)/T^3, 
   (25 - 49*T1 + 48*T1^2 - 35*T1^3 + 48*T1^4 - 49*T1^5 + 25*T1^6 - 49*T2 + 
     48*T1*T2 + T1^2*T2 - 25*T1^3*T2 - 25*T1^4*T2 + T1^5*T2 + 48*T1^6*T2 - 
     49*T1^7*T2 + 48*T2^2 + T1*T2^2 - 54*T1^2*T2^2 + 34*T1^3*T2^2 + 
     36*T1^4*T2^2 + 34*T1^5*T2^2 - 54*T1^6*T2^2 + T1^7*T2^2 + 48*T1^8*T2^2 - 
     35*T2^3 - 25*T1*T2^3 + 34*T1^2*T2^3 + 8*T1^3*T2^3 - 42*T1^4*T2^3 - 
     42*T1^5*T2^3 + 8*T1^6*T2^3 + 34*T1^7*T2^3 - 25*T1^8*T2^3 - 
     35*T1^9*T2^3 + 48*T2^4 - 25*T1*T2^4 + 36*T1^2*T2^4 - 42*T1^3*T2^4 + 
     60*T1^4*T2^4 - 20*T1^5*T2^4 + 60*T1^6*T2^4 - 42*T1^7*T2^4 + 
     36*T1^8*T2^4 - 25*T1^9*T2^4 + 48*T1^10*T2^4 - 49*T2^5 + T1*T2^5 + 
     34*T1^2*T2^5 - 42*T1^3*T2^5 - 20*T1^4*T2^5 - 20*T1^7*T2^5 - 
     42*T1^8*T2^5 + 34*T1^9*T2^5 + T1^10*T2^5 - 49*T1^11*T2^5 + 25*T2^6 + 
     48*T1*T2^6 - 54*T1^2*T2^6 + 8*T1^3*T2^6 + 60*T1^4*T2^6 - 12*T1^6*T2^6 + 
     60*T1^8*T2^6 + 8*T1^9*T2^6 - 54*T1^10*T2^6 + 48*T1^11*T2^6 + 
     25*T1^12*T2^6 - 49*T1*T2^7 + T1^2*T2^7 + 34*T1^3*T2^7 - 42*T1^4*T2^7 - 
     20*T1^5*T2^7 - 20*T1^8*T2^7 - 42*T1^9*T2^7 + 34*T1^10*T2^7 + 
     T1^11*T2^7 - 49*T1^12*T2^7 + 48*T1^2*T2^8 - 25*T1^3*T2^8 + 
     36*T1^4*T2^8 - 42*T1^5*T2^8 + 60*T1^6*T2^8 - 20*T1^7*T2^8 + 
     60*T1^8*T2^8 - 42*T1^9*T2^8 + 36*T1^10*T2^8 - 25*T1^11*T2^8 + 
     48*T1^12*T2^8 - 35*T1^3*T2^9 - 25*T1^4*T2^9 + 34*T1^5*T2^9 + 
     8*T1^6*T2^9 - 42*T1^7*T2^9 - 42*T1^8*T2^9 + 8*T1^9*T2^9 + 
     34*T1^10*T2^9 - 25*T1^11*T2^9 - 35*T1^12*T2^9 + 48*T1^4*T2^10 + 
     T1^5*T2^10 - 54*T1^6*T2^10 + 34*T1^7*T2^10 + 36*T1^8*T2^10 + 
     34*T1^9*T2^10 - 54*T1^10*T2^10 + T1^11*T2^10 + 48*T1^12*T2^10 - 
     49*T1^5*T2^11 + 48*T1^6*T2^11 + T1^7*T2^11 - 25*T1^8*T2^11 - 
     25*T1^9*T2^11 + T1^10*T2^11 + 48*T1^11*T2^11 - 49*T1^12*T2^11 + 
     25*T1^6*T2^12 - 49*T1^7*T2^12 + 48*T1^8*T2^12 - 35*T1^9*T2^12 + 
     48*T1^10*T2^12 - 49*T1^11*T2^12 + 25*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[10, 135] -> {(3 - 9*T + 13*T^2 - 9*T^3 + 3*T^4)/T^2, 
   -((3 - 9*T1 + 13*T1^2 - 9*T1^3 + 3*T1^4 - 9*T2 + 16*T1*T2 - 11*T1^2*T2 - 
      11*T1^3*T2 + 16*T1^4*T2 - 9*T1^5*T2 + 13*T2^2 - 11*T1*T2^2 + 
      13*T1^2*T2^2 + T1^3*T2^2 + 13*T1^4*T2^2 - 11*T1^5*T2^2 + 13*T1^6*T2^2 - 
      9*T2^3 - 11*T1*T2^3 + T1^2*T2^3 - 14*T1^3*T2^3 - 14*T1^4*T2^3 + 
      T1^5*T2^3 - 11*T1^6*T2^3 - 9*T1^7*T2^3 + 3*T2^4 + 16*T1*T2^4 + 
      13*T1^2*T2^4 - 14*T1^3*T2^4 + 48*T1^4*T2^4 - 14*T1^5*T2^4 + 
      13*T1^6*T2^4 + 16*T1^7*T2^4 + 3*T1^8*T2^4 - 9*T1*T2^5 - 11*T1^2*T2^5 + 
      T1^3*T2^5 - 14*T1^4*T2^5 - 14*T1^5*T2^5 + T1^6*T2^5 - 11*T1^7*T2^5 - 
      9*T1^8*T2^5 + 13*T1^2*T2^6 - 11*T1^3*T2^6 + 13*T1^4*T2^6 + T1^5*T2^6 + 
      13*T1^6*T2^6 - 11*T1^7*T2^6 + 13*T1^8*T2^6 - 9*T1^3*T2^7 + 
      16*T1^4*T2^7 - 11*T1^5*T2^7 - 11*T1^6*T2^7 + 16*T1^7*T2^7 - 
      9*T1^8*T2^7 + 3*T1^4*T2^8 - 9*T1^5*T2^8 + 13*T1^6*T2^8 - 9*T1^7*T2^8 + 
      3*T1^8*T2^8)/(T1^4*T2^4))}, Knot[10, 136] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2))/T^2), 
   -((1 - 4*T1 + 5*T1^2 - 4*T1^3 + T1^4 - 4*T2 + 12*T1*T2 - 5*T1^2*T2 - 
      5*T1^3*T2 + 12*T1^4*T2 - 4*T1^5*T2 + 5*T2^2 - 5*T1*T2^2 - 
      23*T1^2*T2^2 + 35*T1^3*T2^2 - 23*T1^4*T2^2 - 5*T1^5*T2^2 + 
      5*T1^6*T2^2 - 4*T2^3 - 5*T1*T2^3 + 35*T1^2*T2^3 - 24*T1^3*T2^3 - 
      24*T1^4*T2^3 + 35*T1^5*T2^3 - 5*T1^6*T2^3 - 4*T1^7*T2^3 + T2^4 + 
      12*T1*T2^4 - 23*T1^2*T2^4 - 24*T1^3*T2^4 + 72*T1^4*T2^4 - 
      24*T1^5*T2^4 - 23*T1^6*T2^4 + 12*T1^7*T2^4 + T1^8*T2^4 - 4*T1*T2^5 - 
      5*T1^2*T2^5 + 35*T1^3*T2^5 - 24*T1^4*T2^5 - 24*T1^5*T2^5 + 
      35*T1^6*T2^5 - 5*T1^7*T2^5 - 4*T1^8*T2^5 + 5*T1^2*T2^6 - 5*T1^3*T2^6 - 
      23*T1^4*T2^6 + 35*T1^5*T2^6 - 23*T1^6*T2^6 - 5*T1^7*T2^6 + 
      5*T1^8*T2^6 - 4*T1^3*T2^7 + 12*T1^4*T2^7 - 5*T1^5*T2^7 - 5*T1^6*T2^7 + 
      12*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)/(T1^4*T2^4))}, 
 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 + T1 + T2 - 6*T1*T2 + T1^2*T2 + T1*T2^2 + T1^2*T2^2))/(T1^3*T2^3)}, 
 Knot[10, 138] -> {((1 - 3*T + T^2)*(1 - 2*T + T^2 - 2*T^3 + T^4))/T^3, 
   (1 - 5*T1 + 8*T1^2 - 7*T1^3 + 8*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 20*T1*T2 - 
     15*T1^2*T2 - 5*T1^3*T2 - 5*T1^4*T2 - 15*T1^5*T2 + 20*T1^6*T2 - 
     5*T1^7*T2 + 8*T2^2 - 15*T1*T2^2 - 51*T1^2*T2^2 + 98*T1^3*T2^2 - 
     41*T1^4*T2^2 + 98*T1^5*T2^2 - 51*T1^6*T2^2 - 15*T1^7*T2^2 + 
     8*T1^8*T2^2 - 7*T2^3 - 5*T1*T2^3 + 98*T1^2*T2^3 - 72*T1^3*T2^3 - 
     52*T1^4*T2^3 - 52*T1^5*T2^3 - 72*T1^6*T2^3 + 98*T1^7*T2^3 - 
     5*T1^8*T2^3 - 7*T1^9*T2^3 + 8*T2^4 - 5*T1*T2^4 - 41*T1^2*T2^4 - 
     52*T1^3*T2^4 + 171*T1^4*T2^4 - 81*T1^5*T2^4 + 171*T1^6*T2^4 - 
     52*T1^7*T2^4 - 41*T1^8*T2^4 - 5*T1^9*T2^4 + 8*T1^10*T2^4 - 5*T2^5 - 
     15*T1*T2^5 + 98*T1^2*T2^5 - 52*T1^3*T2^5 - 81*T1^4*T2^5 + 28*T1^5*T2^5 + 
     28*T1^6*T2^5 - 81*T1^7*T2^5 - 52*T1^8*T2^5 + 98*T1^9*T2^5 - 
     15*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 20*T1*T2^6 - 51*T1^2*T2^6 - 
     72*T1^3*T2^6 + 171*T1^4*T2^6 + 28*T1^5*T2^6 - 156*T1^6*T2^6 + 
     28*T1^7*T2^6 + 171*T1^8*T2^6 - 72*T1^9*T2^6 - 51*T1^10*T2^6 + 
     20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 15*T1^2*T2^7 + 98*T1^3*T2^7 - 
     52*T1^4*T2^7 - 81*T1^5*T2^7 + 28*T1^6*T2^7 + 28*T1^7*T2^7 - 
     81*T1^8*T2^7 - 52*T1^9*T2^7 + 98*T1^10*T2^7 - 15*T1^11*T2^7 - 
     5*T1^12*T2^7 + 8*T1^2*T2^8 - 5*T1^3*T2^8 - 41*T1^4*T2^8 - 52*T1^5*T2^8 + 
     171*T1^6*T2^8 - 81*T1^7*T2^8 + 171*T1^8*T2^8 - 52*T1^9*T2^8 - 
     41*T1^10*T2^8 - 5*T1^11*T2^8 + 8*T1^12*T2^8 - 7*T1^3*T2^9 - 
     5*T1^4*T2^9 + 98*T1^5*T2^9 - 72*T1^6*T2^9 - 52*T1^7*T2^9 - 
     52*T1^8*T2^9 - 72*T1^9*T2^9 + 98*T1^10*T2^9 - 5*T1^11*T2^9 - 
     7*T1^12*T2^9 + 8*T1^4*T2^10 - 15*T1^5*T2^10 - 51*T1^6*T2^10 + 
     98*T1^7*T2^10 - 41*T1^8*T2^10 + 98*T1^9*T2^10 - 51*T1^10*T2^10 - 
     15*T1^11*T2^10 + 8*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 
     15*T1^7*T2^11 - 5*T1^8*T2^11 - 5*T1^9*T2^11 - 15*T1^10*T2^11 + 
     20*T1^11*T2^11 - 5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 
     8*T1^8*T2^12 - 7*T1^9*T2^12 + 8*T1^10*T2^12 - 5*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[10, 139] -> 
  {((1 - T + T^2)*(1 - T^2 + T^3 - T^4 + T^6))/T^4, 
   (4 - 4*T1 + 8*T1^3 - 12*T1^4 + 8*T1^5 - 4*T1^7 + 4*T1^8 - 4*T2 + 
     4*T1^2*T2 - 8*T1^3*T2 + 4*T1^4*T2 + 4*T1^5*T2 - 8*T1^6*T2 + 4*T1^7*T2 - 
     4*T1^9*T2 + 4*T1*T2^2 - 4*T1^2*T2^2 + 8*T1^4*T2^2 - 12*T1^5*T2^2 + 
     8*T1^6*T2^2 - 4*T1^8*T2^2 + 4*T1^9*T2^2 + 8*T2^3 - 8*T1*T2^3 + 
     18*T1^3*T2^3 - 24*T1^4*T2^3 + 12*T1^5*T2^3 + 12*T1^6*T2^3 - 
     24*T1^7*T2^3 + 18*T1^8*T2^3 - 8*T1^10*T2^3 + 8*T1^11*T2^3 - 12*T2^4 + 
     4*T1*T2^4 + 8*T1^2*T2^4 - 24*T1^3*T2^4 + 13*T1^4*T2^4 + 8*T1^5*T2^4 - 
     23*T1^6*T2^4 + 8*T1^7*T2^4 + 13*T1^8*T2^4 - 24*T1^9*T2^4 + 
     8*T1^10*T2^4 + 4*T1^11*T2^4 - 12*T1^12*T2^4 + 8*T2^5 + 4*T1*T2^5 - 
     12*T1^2*T2^5 + 12*T1^3*T2^5 + 8*T1^4*T2^5 - 20*T1^5*T2^5 + 
     13*T1^6*T2^5 + 13*T1^7*T2^5 - 20*T1^8*T2^5 + 8*T1^9*T2^5 + 
     12*T1^10*T2^5 - 12*T1^11*T2^5 + 4*T1^12*T2^5 + 8*T1^13*T2^5 - 
     8*T1*T2^6 + 8*T1^2*T2^6 + 12*T1^3*T2^6 - 23*T1^4*T2^6 + 13*T1^5*T2^6 + 
     17*T1^6*T2^6 - 35*T1^7*T2^6 + 17*T1^8*T2^6 + 13*T1^9*T2^6 - 
     23*T1^10*T2^6 + 12*T1^11*T2^6 + 8*T1^12*T2^6 - 8*T1^13*T2^6 - 4*T2^7 + 
     4*T1*T2^7 - 24*T1^3*T2^7 + 8*T1^4*T2^7 + 13*T1^5*T2^7 - 35*T1^6*T2^7 + 
     18*T1^7*T2^7 + 18*T1^8*T2^7 - 35*T1^9*T2^7 + 13*T1^10*T2^7 + 
     8*T1^11*T2^7 - 24*T1^12*T2^7 + 4*T1^14*T2^7 - 4*T1^15*T2^7 + 4*T2^8 - 
     4*T1^2*T2^8 + 18*T1^3*T2^8 + 13*T1^4*T2^8 - 20*T1^5*T2^8 + 
     17*T1^6*T2^8 + 18*T1^7*T2^8 - 36*T1^8*T2^8 + 18*T1^9*T2^8 + 
     17*T1^10*T2^8 - 20*T1^11*T2^8 + 13*T1^12*T2^8 + 18*T1^13*T2^8 - 
     4*T1^14*T2^8 + 4*T1^16*T2^8 - 4*T1*T2^9 + 4*T1^2*T2^9 - 24*T1^4*T2^9 + 
     8*T1^5*T2^9 + 13*T1^6*T2^9 - 35*T1^7*T2^9 + 18*T1^8*T2^9 + 
     18*T1^9*T2^9 - 35*T1^10*T2^9 + 13*T1^11*T2^9 + 8*T1^12*T2^9 - 
     24*T1^13*T2^9 + 4*T1^15*T2^9 - 4*T1^16*T2^9 - 8*T1^3*T2^10 + 
     8*T1^4*T2^10 + 12*T1^5*T2^10 - 23*T1^6*T2^10 + 13*T1^7*T2^10 + 
     17*T1^8*T2^10 - 35*T1^9*T2^10 + 17*T1^10*T2^10 + 13*T1^11*T2^10 - 
     23*T1^12*T2^10 + 12*T1^13*T2^10 + 8*T1^14*T2^10 - 8*T1^15*T2^10 + 
     8*T1^3*T2^11 + 4*T1^4*T2^11 - 12*T1^5*T2^11 + 12*T1^6*T2^11 + 
     8*T1^7*T2^11 - 20*T1^8*T2^11 + 13*T1^9*T2^11 + 13*T1^10*T2^11 - 
     20*T1^11*T2^11 + 8*T1^12*T2^11 + 12*T1^13*T2^11 - 12*T1^14*T2^11 + 
     4*T1^15*T2^11 + 8*T1^16*T2^11 - 12*T1^4*T2^12 + 4*T1^5*T2^12 + 
     8*T1^6*T2^12 - 24*T1^7*T2^12 + 13*T1^8*T2^12 + 8*T1^9*T2^12 - 
     23*T1^10*T2^12 + 8*T1^11*T2^12 + 13*T1^12*T2^12 - 24*T1^13*T2^12 + 
     8*T1^14*T2^12 + 4*T1^15*T2^12 - 12*T1^16*T2^12 + 8*T1^5*T2^13 - 
     8*T1^6*T2^13 + 18*T1^8*T2^13 - 24*T1^9*T2^13 + 12*T1^10*T2^13 + 
     12*T1^11*T2^13 - 24*T1^12*T2^13 + 18*T1^13*T2^13 - 8*T1^15*T2^13 + 
     8*T1^16*T2^13 + 4*T1^7*T2^14 - 4*T1^8*T2^14 + 8*T1^10*T2^14 - 
     12*T1^11*T2^14 + 8*T1^12*T2^14 - 4*T1^14*T2^14 + 4*T1^15*T2^14 - 
     4*T1^7*T2^15 + 4*T1^9*T2^15 - 8*T1^10*T2^15 + 4*T1^11*T2^15 + 
     4*T1^12*T2^15 - 8*T1^13*T2^15 + 4*T1^14*T2^15 - 4*T1^16*T2^15 + 
     4*T1^8*T2^16 - 4*T1^9*T2^16 + 8*T1^11*T2^16 - 12*T1^12*T2^16 + 
     8*T1^13*T2^16 - 4*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[10, 140] -> {(1 - T + T^2)^2/T^2, 
   (-4*(3 - 4*T1 + 3*T1^2 - 4*T2 + T1*T2 + T1^2*T2 - 4*T1^3*T2 + 3*T2^2 + 
      T1*T2^2 + T1^3*T2^2 + 3*T1^4*T2^2 - 4*T1*T2^3 + T1^2*T2^3 + T1^3*T2^3 - 
      4*T1^4*T2^3 + 3*T1^2*T2^4 - 4*T1^3*T2^4 + 3*T1^4*T2^4))/(T1^2*T2^2)}, 
 Knot[10, 141] -> {-(((1 - T + T^2)*(1 - 2*T + T^2 - 2*T^3 + T^4))/T^3), 
   (1 - 4*T1 + 5*T1^2 - 4*T1^3 + T1^4 - 4*T2 + 12*T1*T2 - 3*T1^2*T2 - 
     3*T1^3*T2 + 12*T1^4*T2 - 4*T1^5*T2 + 5*T2^2 - 3*T1*T2^2 - 35*T1^2*T2^2 + 
     33*T1^3*T2^2 - 35*T1^4*T2^2 - 3*T1^5*T2^2 + 5*T1^6*T2^2 - 4*T2^3 - 
     3*T1*T2^3 + 33*T1^2*T2^3 + 4*T1^3*T2^3 + 4*T1^4*T2^3 + 33*T1^5*T2^3 - 
     3*T1^6*T2^3 - 4*T1^7*T2^3 + T2^4 + 12*T1*T2^4 - 35*T1^2*T2^4 + 
     4*T1^3*T2^4 - 36*T1^4*T2^4 + 4*T1^5*T2^4 - 35*T1^6*T2^4 + 12*T1^7*T2^4 + 
     T1^8*T2^4 - 4*T1*T2^5 - 3*T1^2*T2^5 + 33*T1^3*T2^5 + 4*T1^4*T2^5 + 
     4*T1^5*T2^5 + 33*T1^6*T2^5 - 3*T1^7*T2^5 - 4*T1^8*T2^5 + 5*T1^2*T2^6 - 
     3*T1^3*T2^6 - 35*T1^4*T2^6 + 33*T1^5*T2^6 - 35*T1^6*T2^6 - 3*T1^7*T2^6 + 
     5*T1^8*T2^6 - 4*T1^3*T2^7 + 12*T1^4*T2^7 - 3*T1^5*T2^7 - 3*T1^6*T2^7 + 
     12*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)/(T1^4*T2^4)}, 
 Knot[10, 142] -> {((1 - T + T^2)*(2 - T - T^2 - T^3 + 2*T^4))/T^3, 
   (25 - 37*T1 + 24*T1^2 - 11*T1^3 + 24*T1^4 - 37*T1^5 + 25*T1^6 - 37*T2 + 
     18*T1*T2 + 19*T1^2*T2 - 19*T1^3*T2 - 19*T1^4*T2 + 19*T1^5*T2 + 
     18*T1^6*T2 - 37*T1^7*T2 + 24*T2^2 + 19*T1*T2^2 - 38*T1^2*T2^2 + 
     12*T1^3*T2^2 + 16*T1^4*T2^2 + 12*T1^5*T2^2 - 38*T1^6*T2^2 + 
     19*T1^7*T2^2 + 24*T1^8*T2^2 - 11*T2^3 - 19*T1*T2^3 + 12*T1^2*T2^3 + 
     8*T1^3*T2^3 - 11*T1^4*T2^3 - 11*T1^5*T2^3 + 8*T1^6*T2^3 + 12*T1^7*T2^3 - 
     19*T1^8*T2^3 - 11*T1^9*T2^3 + 24*T2^4 - 19*T1*T2^4 + 16*T1^2*T2^4 - 
     11*T1^3*T2^4 + 20*T1^4*T2^4 - 22*T1^5*T2^4 + 20*T1^6*T2^4 - 
     11*T1^7*T2^4 + 16*T1^8*T2^4 - 19*T1^9*T2^4 + 24*T1^10*T2^4 - 37*T2^5 + 
     19*T1*T2^5 + 12*T1^2*T2^5 - 11*T1^3*T2^5 - 22*T1^4*T2^5 + 14*T1^5*T2^5 + 
     14*T1^6*T2^5 - 22*T1^7*T2^5 - 11*T1^8*T2^5 + 12*T1^9*T2^5 + 
     19*T1^10*T2^5 - 37*T1^11*T2^5 + 25*T2^6 + 18*T1*T2^6 - 38*T1^2*T2^6 + 
     8*T1^3*T2^6 + 20*T1^4*T2^6 + 14*T1^5*T2^6 - 36*T1^6*T2^6 + 
     14*T1^7*T2^6 + 20*T1^8*T2^6 + 8*T1^9*T2^6 - 38*T1^10*T2^6 + 
     18*T1^11*T2^6 + 25*T1^12*T2^6 - 37*T1*T2^7 + 19*T1^2*T2^7 + 
     12*T1^3*T2^7 - 11*T1^4*T2^7 - 22*T1^5*T2^7 + 14*T1^6*T2^7 + 
     14*T1^7*T2^7 - 22*T1^8*T2^7 - 11*T1^9*T2^7 + 12*T1^10*T2^7 + 
     19*T1^11*T2^7 - 37*T1^12*T2^7 + 24*T1^2*T2^8 - 19*T1^3*T2^8 + 
     16*T1^4*T2^8 - 11*T1^5*T2^8 + 20*T1^6*T2^8 - 22*T1^7*T2^8 + 
     20*T1^8*T2^8 - 11*T1^9*T2^8 + 16*T1^10*T2^8 - 19*T1^11*T2^8 + 
     24*T1^12*T2^8 - 11*T1^3*T2^9 - 19*T1^4*T2^9 + 12*T1^5*T2^9 + 
     8*T1^6*T2^9 - 11*T1^7*T2^9 - 11*T1^8*T2^9 + 8*T1^9*T2^9 + 
     12*T1^10*T2^9 - 19*T1^11*T2^9 - 11*T1^12*T2^9 + 24*T1^4*T2^10 + 
     19*T1^5*T2^10 - 38*T1^6*T2^10 + 12*T1^7*T2^10 + 16*T1^8*T2^10 + 
     12*T1^9*T2^10 - 38*T1^10*T2^10 + 19*T1^11*T2^10 + 24*T1^12*T2^10 - 
     37*T1^5*T2^11 + 18*T1^6*T2^11 + 19*T1^7*T2^11 - 19*T1^8*T2^11 - 
     19*T1^9*T2^11 + 19*T1^10*T2^11 + 18*T1^11*T2^11 - 37*T1^12*T2^11 + 
     25*T1^6*T2^12 - 37*T1^7*T2^12 + 24*T1^8*T2^12 - 11*T1^9*T2^12 + 
     24*T1^10*T2^12 - 37*T1^11*T2^12 + 25*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[10, 143] -> {(1 - T + T^2)^3/T^3, 
   -((1 - 3*T1 + 6*T1^2 - 7*T1^3 + 6*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 - 
      9*T1^2*T2 + 3*T1^3*T2 + 3*T1^4*T2 - 9*T1^5*T2 + 6*T1^6*T2 - 3*T1^7*T2 + 
      6*T2^2 - 9*T1*T2^2 + 20*T1^2*T2^2 - 16*T1^3*T2^2 + 22*T1^4*T2^2 - 
      16*T1^5*T2^2 + 20*T1^6*T2^2 - 9*T1^7*T2^2 + 6*T1^8*T2^2 - 7*T2^3 + 
      3*T1*T2^3 - 16*T1^2*T2^3 - 2*T1^3*T2^3 - 9*T1^4*T2^3 - 9*T1^5*T2^3 - 
      2*T1^6*T2^3 - 16*T1^7*T2^3 + 3*T1^8*T2^3 - 7*T1^9*T2^3 + 6*T2^4 + 
      3*T1*T2^4 + 22*T1^2*T2^4 - 9*T1^3*T2^4 + 54*T1^4*T2^4 - 36*T1^5*T2^4 + 
      54*T1^6*T2^4 - 9*T1^7*T2^4 + 22*T1^8*T2^4 + 3*T1^9*T2^4 + 
      6*T1^10*T2^4 - 3*T2^5 - 9*T1*T2^5 - 16*T1^2*T2^5 - 9*T1^3*T2^5 - 
      36*T1^4*T2^5 - 10*T1^5*T2^5 - 10*T1^6*T2^5 - 36*T1^7*T2^5 - 
      9*T1^8*T2^5 - 16*T1^9*T2^5 - 9*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 
      6*T1*T2^6 + 20*T1^2*T2^6 - 2*T1^3*T2^6 + 54*T1^4*T2^6 - 10*T1^5*T2^6 + 
      48*T1^6*T2^6 - 10*T1^7*T2^6 + 54*T1^8*T2^6 - 2*T1^9*T2^6 + 
      20*T1^10*T2^6 + 6*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 - 9*T1^2*T2^7 - 
      16*T1^3*T2^7 - 9*T1^4*T2^7 - 36*T1^5*T2^7 - 10*T1^6*T2^7 - 
      10*T1^7*T2^7 - 36*T1^8*T2^7 - 9*T1^9*T2^7 - 16*T1^10*T2^7 - 
      9*T1^11*T2^7 - 3*T1^12*T2^7 + 6*T1^2*T2^8 + 3*T1^3*T2^8 + 
      22*T1^4*T2^8 - 9*T1^5*T2^8 + 54*T1^6*T2^8 - 36*T1^7*T2^8 + 
      54*T1^8*T2^8 - 9*T1^9*T2^8 + 22*T1^10*T2^8 + 3*T1^11*T2^8 + 
      6*T1^12*T2^8 - 7*T1^3*T2^9 + 3*T1^4*T2^9 - 16*T1^5*T2^9 - 2*T1^6*T2^9 - 
      9*T1^7*T2^9 - 9*T1^8*T2^9 - 2*T1^9*T2^9 - 16*T1^10*T2^9 + 
      3*T1^11*T2^9 - 7*T1^12*T2^9 + 6*T1^4*T2^10 - 9*T1^5*T2^10 + 
      20*T1^6*T2^10 - 16*T1^7*T2^10 + 22*T1^8*T2^10 - 16*T1^9*T2^10 + 
      20*T1^10*T2^10 - 9*T1^11*T2^10 + 6*T1^12*T2^10 - 3*T1^5*T2^11 + 
      6*T1^6*T2^11 - 9*T1^7*T2^11 + 3*T1^8*T2^11 + 3*T1^9*T2^11 - 
      9*T1^10*T2^11 + 6*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)/(T1^6*T2^6))}, 
 Knot[10, 144] -> {-(((1 - T + T^2)*(3 - 7*T + 3*T^2))/T^2), 
   (2*(15 - 48*T1 + 61*T1^2 - 48*T1^3 + 15*T1^4 - 48*T2 + 106*T1*T2 - 
      42*T1^2*T2 - 42*T1^3*T2 + 106*T1^4*T2 - 48*T1^5*T2 + 61*T2^2 - 
      42*T1*T2^2 - 189*T1^2*T2^2 + 251*T1^3*T2^2 - 189*T1^4*T2^2 - 
      42*T1^5*T2^2 + 61*T1^6*T2^2 - 48*T2^3 - 42*T1*T2^3 + 251*T1^2*T2^3 - 
      86*T1^3*T2^3 - 86*T1^4*T2^3 + 251*T1^5*T2^3 - 42*T1^6*T2^3 - 
      48*T1^7*T2^3 + 15*T2^4 + 106*T1*T2^4 - 189*T1^2*T2^4 - 86*T1^3*T2^4 + 
      132*T1^4*T2^4 - 86*T1^5*T2^4 - 189*T1^6*T2^4 + 106*T1^7*T2^4 + 
      15*T1^8*T2^4 - 48*T1*T2^5 - 42*T1^2*T2^5 + 251*T1^3*T2^5 - 
      86*T1^4*T2^5 - 86*T1^5*T2^5 + 251*T1^6*T2^5 - 42*T1^7*T2^5 - 
      48*T1^8*T2^5 + 61*T1^2*T2^6 - 42*T1^3*T2^6 - 189*T1^4*T2^6 + 
      251*T1^5*T2^6 - 189*T1^6*T2^6 - 42*T1^7*T2^6 + 61*T1^8*T2^6 - 
      48*T1^3*T2^7 + 106*T1^4*T2^7 - 42*T1^5*T2^7 - 42*T1^6*T2^7 + 
      106*T1^7*T2^7 - 48*T1^8*T2^7 + 15*T1^4*T2^8 - 48*T1^5*T2^8 + 
      61*T1^6*T2^8 - 48*T1^7*T2^8 + 15*T1^8*T2^8))/(T1^4*T2^4)}, 
 Knot[10, 145] -> {(1 + T - 3*T^2 + T^3 + T^4)/T^2, 
   (-2*(1 + T1 - 3*T1^2 + T1^3 + T1^4 + T2 + T1*T2 - T1^2*T2 - T1^3*T2 + 
      T1^4*T2 + T1^5*T2 - 3*T2^2 - T1*T2^2 + 7*T1^2*T2^2 - 10*T1^3*T2^2 + 
      7*T1^4*T2^2 - T1^5*T2^2 - 3*T1^6*T2^2 + T2^3 - T1*T2^3 - 10*T1^2*T2^3 + 
      7*T1^3*T2^3 + 7*T1^4*T2^3 - 10*T1^5*T2^3 - T1^6*T2^3 + T1^7*T2^3 + 
      T2^4 + T1*T2^4 + 7*T1^2*T2^4 + 7*T1^3*T2^4 - 18*T1^4*T2^4 + 
      7*T1^5*T2^4 + 7*T1^6*T2^4 + T1^7*T2^4 + T1^8*T2^4 + T1*T2^5 - 
      T1^2*T2^5 - 10*T1^3*T2^5 + 7*T1^4*T2^5 + 7*T1^5*T2^5 - 10*T1^6*T2^5 - 
      T1^7*T2^5 + T1^8*T2^5 - 3*T1^2*T2^6 - T1^3*T2^6 + 7*T1^4*T2^6 - 
      10*T1^5*T2^6 + 7*T1^6*T2^6 - T1^7*T2^6 - 3*T1^8*T2^6 + T1^3*T2^7 + 
      T1^4*T2^7 - T1^5*T2^7 - T1^6*T2^7 + 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))/(T1^4*T2^4)}, 
 Knot[10, 146] -> {(2 - 8*T + 13*T^2 - 8*T^3 + 2*T^4)/T^2, 
   -((1 - 5*T1 + 9*T1^2 - 5*T1^3 + T1^4 - 5*T2 + 18*T1*T2 - 18*T1^2*T2 - 
      18*T1^3*T2 + 18*T1^4*T2 - 5*T1^5*T2 + 9*T2^2 - 18*T1*T2^2 - 
      18*T1^2*T2^2 + 92*T1^3*T2^2 - 18*T1^4*T2^2 - 18*T1^5*T2^2 + 
      9*T1^6*T2^2 - 5*T2^3 - 18*T1*T2^3 + 92*T1^2*T2^3 - 108*T1^3*T2^3 - 
      108*T1^4*T2^3 + 92*T1^5*T2^3 - 18*T1^6*T2^3 - 5*T1^7*T2^3 + T2^4 + 
      18*T1*T2^4 - 18*T1^2*T2^4 - 108*T1^3*T2^4 + 312*T1^4*T2^4 - 
      108*T1^5*T2^4 - 18*T1^6*T2^4 + 18*T1^7*T2^4 + T1^8*T2^4 - 5*T1*T2^5 - 
      18*T1^2*T2^5 + 92*T1^3*T2^5 - 108*T1^4*T2^5 - 108*T1^5*T2^5 + 
      92*T1^6*T2^5 - 18*T1^7*T2^5 - 5*T1^8*T2^5 + 9*T1^2*T2^6 - 
      18*T1^3*T2^6 - 18*T1^4*T2^6 + 92*T1^5*T2^6 - 18*T1^6*T2^6 - 
      18*T1^7*T2^6 + 9*T1^8*T2^6 - 5*T1^3*T2^7 + 18*T1^4*T2^7 - 
      18*T1^5*T2^7 - 18*T1^6*T2^7 + 18*T1^7*T2^7 - 5*T1^8*T2^7 + T1^4*T2^8 - 
      5*T1^5*T2^8 + 9*T1^6*T2^8 - 5*T1^7*T2^8 + T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[10, 147] -> {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2))/T^2), 
   -((7 - 23*T1 + 29*T1^2 - 23*T1^3 + 7*T1^4 - 23*T2 + 52*T1*T2 - 
      20*T1^2*T2 - 20*T1^3*T2 + 52*T1^4*T2 - 23*T1^5*T2 + 29*T2^2 - 
      20*T1*T2^2 - 94*T1^2*T2^2 + 128*T1^3*T2^2 - 94*T1^4*T2^2 - 
      20*T1^5*T2^2 + 29*T1^6*T2^2 - 23*T2^3 - 20*T1*T2^3 + 128*T1^2*T2^3 - 
      58*T1^3*T2^3 - 58*T1^4*T2^3 + 128*T1^5*T2^3 - 20*T1^6*T2^3 - 
      23*T1^7*T2^3 + 7*T2^4 + 52*T1*T2^4 - 94*T1^2*T2^4 - 58*T1^3*T2^4 + 
      132*T1^4*T2^4 - 58*T1^5*T2^4 - 94*T1^6*T2^4 + 52*T1^7*T2^4 + 
      7*T1^8*T2^4 - 23*T1*T2^5 - 20*T1^2*T2^5 + 128*T1^3*T2^5 - 
      58*T1^4*T2^5 - 58*T1^5*T2^5 + 128*T1^6*T2^5 - 20*T1^7*T2^5 - 
      23*T1^8*T2^5 + 29*T1^2*T2^6 - 20*T1^3*T2^6 - 94*T1^4*T2^6 + 
      128*T1^5*T2^6 - 94*T1^6*T2^6 - 20*T1^7*T2^6 + 29*T1^8*T2^6 - 
      23*T1^3*T2^7 + 52*T1^4*T2^7 - 20*T1^5*T2^7 - 20*T1^6*T2^7 + 
      52*T1^7*T2^7 - 23*T1^8*T2^7 + 7*T1^4*T2^8 - 23*T1^5*T2^8 + 
      29*T1^6*T2^8 - 23*T1^7*T2^8 + 7*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[10, 148] -> {(1 - 3*T + 7*T^2 - 9*T^3 + 7*T^4 - 3*T^5 + T^6)/T^3, 
   -((1 - 3*T1 + 7*T1^2 - 9*T1^3 + 7*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 - 
      12*T1^2*T2 + 6*T1^3*T2 + 6*T1^4*T2 - 12*T1^5*T2 + 6*T1^6*T2 - 
      3*T1^7*T2 + 7*T2^2 - 12*T1*T2^2 + 37*T1^2*T2^2 - 36*T1^3*T2^2 + 
      35*T1^4*T2^2 - 36*T1^5*T2^2 + 37*T1^6*T2^2 - 12*T1^7*T2^2 + 
      7*T1^8*T2^2 - 9*T2^3 + 6*T1*T2^3 - 36*T1^2*T2^3 + T1^4*T2^3 + 
      T1^5*T2^3 - 36*T1^7*T2^3 + 6*T1^8*T2^3 - 9*T1^9*T2^3 + 7*T2^4 + 
      6*T1*T2^4 + 35*T1^2*T2^4 + T1^3*T2^4 + 82*T1^4*T2^4 - 110*T1^5*T2^4 + 
      82*T1^6*T2^4 + T1^7*T2^4 + 35*T1^8*T2^4 + 6*T1^9*T2^4 + 7*T1^10*T2^4 - 
      3*T2^5 - 12*T1*T2^5 - 36*T1^2*T2^5 + T1^3*T2^5 - 110*T1^4*T2^5 + 
      46*T1^5*T2^5 + 46*T1^6*T2^5 - 110*T1^7*T2^5 + T1^8*T2^5 - 
      36*T1^9*T2^5 - 12*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 6*T1*T2^6 + 
      37*T1^2*T2^6 + 82*T1^4*T2^6 + 46*T1^5*T2^6 - 84*T1^6*T2^6 + 
      46*T1^7*T2^6 + 82*T1^8*T2^6 + 37*T1^10*T2^6 + 6*T1^11*T2^6 + 
      T1^12*T2^6 - 3*T1*T2^7 - 12*T1^2*T2^7 - 36*T1^3*T2^7 + T1^4*T2^7 - 
      110*T1^5*T2^7 + 46*T1^6*T2^7 + 46*T1^7*T2^7 - 110*T1^8*T2^7 + 
      T1^9*T2^7 - 36*T1^10*T2^7 - 12*T1^11*T2^7 - 3*T1^12*T2^7 + 
      7*T1^2*T2^8 + 6*T1^3*T2^8 + 35*T1^4*T2^8 + T1^5*T2^8 + 82*T1^6*T2^8 - 
      110*T1^7*T2^8 + 82*T1^8*T2^8 + T1^9*T2^8 + 35*T1^10*T2^8 + 
      6*T1^11*T2^8 + 7*T1^12*T2^8 - 9*T1^3*T2^9 + 6*T1^4*T2^9 - 
      36*T1^5*T2^9 + T1^7*T2^9 + T1^8*T2^9 - 36*T1^10*T2^9 + 6*T1^11*T2^9 - 
      9*T1^12*T2^9 + 7*T1^4*T2^10 - 12*T1^5*T2^10 + 37*T1^6*T2^10 - 
      36*T1^7*T2^10 + 35*T1^8*T2^10 - 36*T1^9*T2^10 + 37*T1^10*T2^10 - 
      12*T1^11*T2^10 + 7*T1^12*T2^10 - 3*T1^5*T2^11 + 6*T1^6*T2^11 - 
      12*T1^7*T2^11 + 6*T1^8*T2^11 + 6*T1^9*T2^11 - 12*T1^10*T2^11 + 
      6*T1^11*T2^11 - 3*T1^12*T2^11 + T1^6*T2^12 - 3*T1^7*T2^12 + 
      7*T1^8*T2^12 - 9*T1^9*T2^12 + 7*T1^10*T2^12 - 3*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[10, 149] -> 
  {-((1 - 5*T + 9*T^2 - 11*T^3 + 9*T^4 - 5*T^5 + T^6)/T^3), 
   (2 - 10*T1 + 18*T1^2 - 22*T1^3 + 18*T1^4 - 10*T1^5 + 2*T1^6 - 10*T2 + 
     40*T1*T2 - 38*T1^2*T2 + 19*T1^3*T2 + 19*T1^4*T2 - 38*T1^5*T2 + 
     40*T1^6*T2 - 10*T1^7*T2 + 18*T2^2 - 38*T1*T2^2 - 81*T1^2*T2^2 + 
     173*T1^3*T2^2 - 237*T1^4*T2^2 + 173*T1^5*T2^2 - 81*T1^6*T2^2 - 
     38*T1^7*T2^2 + 18*T1^8*T2^2 - 22*T2^3 + 19*T1*T2^3 + 173*T1^2*T2^3 - 
     150*T1^3*T2^3 + 96*T1^4*T2^3 + 96*T1^5*T2^3 - 150*T1^6*T2^3 + 
     173*T1^7*T2^3 + 19*T1^8*T2^3 - 22*T1^9*T2^3 + 18*T2^4 + 19*T1*T2^4 - 
     237*T1^2*T2^4 + 96*T1^3*T2^4 - 86*T1^4*T2^4 - 32*T1^5*T2^4 - 
     86*T1^6*T2^4 + 96*T1^7*T2^4 - 237*T1^8*T2^4 + 19*T1^9*T2^4 + 
     18*T1^10*T2^4 - 10*T2^5 - 38*T1*T2^5 + 173*T1^2*T2^5 + 96*T1^3*T2^5 - 
     32*T1^4*T2^5 + 94*T1^5*T2^5 + 94*T1^6*T2^5 - 32*T1^7*T2^5 + 
     96*T1^8*T2^5 + 173*T1^9*T2^5 - 38*T1^10*T2^5 - 10*T1^11*T2^5 + 2*T2^6 + 
     40*T1*T2^6 - 81*T1^2*T2^6 - 150*T1^3*T2^6 - 86*T1^4*T2^6 + 
     94*T1^5*T2^6 - 264*T1^6*T2^6 + 94*T1^7*T2^6 - 86*T1^8*T2^6 - 
     150*T1^9*T2^6 - 81*T1^10*T2^6 + 40*T1^11*T2^6 + 2*T1^12*T2^6 - 
     10*T1*T2^7 - 38*T1^2*T2^7 + 173*T1^3*T2^7 + 96*T1^4*T2^7 - 
     32*T1^5*T2^7 + 94*T1^6*T2^7 + 94*T1^7*T2^7 - 32*T1^8*T2^7 + 
     96*T1^9*T2^7 + 173*T1^10*T2^7 - 38*T1^11*T2^7 - 10*T1^12*T2^7 + 
     18*T1^2*T2^8 + 19*T1^3*T2^8 - 237*T1^4*T2^8 + 96*T1^5*T2^8 - 
     86*T1^6*T2^8 - 32*T1^7*T2^8 - 86*T1^8*T2^8 + 96*T1^9*T2^8 - 
     237*T1^10*T2^8 + 19*T1^11*T2^8 + 18*T1^12*T2^8 - 22*T1^3*T2^9 + 
     19*T1^4*T2^9 + 173*T1^5*T2^9 - 150*T1^6*T2^9 + 96*T1^7*T2^9 + 
     96*T1^8*T2^9 - 150*T1^9*T2^9 + 173*T1^10*T2^9 + 19*T1^11*T2^9 - 
     22*T1^12*T2^9 + 18*T1^4*T2^10 - 38*T1^5*T2^10 - 81*T1^6*T2^10 + 
     173*T1^7*T2^10 - 237*T1^8*T2^10 + 173*T1^9*T2^10 - 81*T1^10*T2^10 - 
     38*T1^11*T2^10 + 18*T1^12*T2^10 - 10*T1^5*T2^11 + 40*T1^6*T2^11 - 
     38*T1^7*T2^11 + 19*T1^8*T2^11 + 19*T1^9*T2^11 - 38*T1^10*T2^11 + 
     40*T1^11*T2^11 - 10*T1^12*T2^11 + 2*T1^6*T2^12 - 10*T1^7*T2^12 + 
     18*T1^8*T2^12 - 22*T1^9*T2^12 + 18*T1^10*T2^12 - 10*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^6*T2^6)}, Knot[10, 150] -> 
  {-((1 - 4*T + 6*T^2 - 7*T^3 + 6*T^4 - 4*T^5 + T^6)/T^3), 
   -((2 - 8*T1 + 12*T1^2 - 14*T1^3 + 12*T1^4 - 8*T1^5 + 2*T1^6 - 8*T2 + 
      24*T1*T2 - 16*T1^2*T2 + 8*T1^3*T2 + 8*T1^4*T2 - 16*T1^5*T2 + 
      24*T1^6*T2 - 8*T1^7*T2 + 12*T2^2 - 16*T1*T2^2 - 42*T1^2*T2^2 + 
      59*T1^3*T2^2 - 78*T1^4*T2^2 + 59*T1^5*T2^2 - 42*T1^6*T2^2 - 
      16*T1^7*T2^2 + 12*T1^8*T2^2 - 14*T2^3 + 8*T1*T2^3 + 59*T1^2*T2^3 - 
      24*T1^3*T2^3 + 22*T1^4*T2^3 + 22*T1^5*T2^3 - 24*T1^6*T2^3 + 
      59*T1^7*T2^3 + 8*T1^8*T2^3 - 14*T1^9*T2^3 + 12*T2^4 + 8*T1*T2^4 - 
      78*T1^2*T2^4 + 22*T1^3*T2^4 - 37*T1^4*T2^4 - T1^5*T2^4 - 37*T1^6*T2^4 + 
      22*T1^7*T2^4 - 78*T1^8*T2^4 + 8*T1^9*T2^4 + 12*T1^10*T2^4 - 8*T2^5 - 
      16*T1*T2^5 + 59*T1^2*T2^5 + 22*T1^3*T2^5 - T1^4*T2^5 + 30*T1^5*T2^5 + 
      30*T1^6*T2^5 - T1^7*T2^5 + 22*T1^8*T2^5 + 59*T1^9*T2^5 - 
      16*T1^10*T2^5 - 8*T1^11*T2^5 + 2*T2^6 + 24*T1*T2^6 - 42*T1^2*T2^6 - 
      24*T1^3*T2^6 - 37*T1^4*T2^6 + 30*T1^5*T2^6 - 84*T1^6*T2^6 + 
      30*T1^7*T2^6 - 37*T1^8*T2^6 - 24*T1^9*T2^6 - 42*T1^10*T2^6 + 
      24*T1^11*T2^6 + 2*T1^12*T2^6 - 8*T1*T2^7 - 16*T1^2*T2^7 + 
      59*T1^3*T2^7 + 22*T1^4*T2^7 - T1^5*T2^7 + 30*T1^6*T2^7 + 30*T1^7*T2^7 - 
      T1^8*T2^7 + 22*T1^9*T2^7 + 59*T1^10*T2^7 - 16*T1^11*T2^7 - 
      8*T1^12*T2^7 + 12*T1^2*T2^8 + 8*T1^3*T2^8 - 78*T1^4*T2^8 + 
      22*T1^5*T2^8 - 37*T1^6*T2^8 - T1^7*T2^8 - 37*T1^8*T2^8 + 22*T1^9*T2^8 - 
      78*T1^10*T2^8 + 8*T1^11*T2^8 + 12*T1^12*T2^8 - 14*T1^3*T2^9 + 
      8*T1^4*T2^9 + 59*T1^5*T2^9 - 24*T1^6*T2^9 + 22*T1^7*T2^9 + 
      22*T1^8*T2^9 - 24*T1^9*T2^9 + 59*T1^10*T2^9 + 8*T1^11*T2^9 - 
      14*T1^12*T2^9 + 12*T1^4*T2^10 - 16*T1^5*T2^10 - 42*T1^6*T2^10 + 
      59*T1^7*T2^10 - 78*T1^8*T2^10 + 59*T1^9*T2^10 - 42*T1^10*T2^10 - 
      16*T1^11*T2^10 + 12*T1^12*T2^10 - 8*T1^5*T2^11 + 24*T1^6*T2^11 - 
      16*T1^7*T2^11 + 8*T1^8*T2^11 + 8*T1^9*T2^11 - 16*T1^10*T2^11 + 
      24*T1^11*T2^11 - 8*T1^12*T2^11 + 2*T1^6*T2^12 - 8*T1^7*T2^12 + 
      12*T1^8*T2^12 - 14*T1^9*T2^12 + 12*T1^10*T2^12 - 8*T1^11*T2^12 + 
      2*T1^12*T2^12)/(T1^6*T2^6))}, Knot[10, 151] -> 
  {(1 - 4*T + 10*T^2 - 13*T^3 + 10*T^4 - 4*T^5 + T^6)/T^3, 
   (1 - 4*T1 + 10*T1^2 - 13*T1^3 + 10*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 
     12*T1*T2 - 24*T1^2*T2 + 12*T1^3*T2 + 12*T1^4*T2 - 24*T1^5*T2 + 
     12*T1^6*T2 - 4*T1^7*T2 + 10*T2^2 - 24*T1*T2^2 + 42*T1^2*T2^2 + 
     3*T1^3*T2^2 - 28*T1^4*T2^2 + 3*T1^5*T2^2 + 42*T1^6*T2^2 - 24*T1^7*T2^2 + 
     10*T1^8*T2^2 - 13*T2^3 + 12*T1*T2^3 + 3*T1^2*T2^3 - 106*T1^3*T2^3 + 
     59*T1^4*T2^3 + 59*T1^5*T2^3 - 106*T1^6*T2^3 + 3*T1^7*T2^3 + 
     12*T1^8*T2^3 - 13*T1^9*T2^3 + 10*T2^4 + 12*T1*T2^4 - 28*T1^2*T2^4 + 
     59*T1^3*T2^4 + 201*T1^4*T2^4 - 337*T1^5*T2^4 + 201*T1^6*T2^4 + 
     59*T1^7*T2^4 - 28*T1^8*T2^4 + 12*T1^9*T2^4 + 10*T1^10*T2^4 - 4*T2^5 - 
     24*T1*T2^5 + 3*T1^2*T2^5 + 59*T1^3*T2^5 - 337*T1^4*T2^5 + 
     180*T1^5*T2^5 + 180*T1^6*T2^5 - 337*T1^7*T2^5 + 59*T1^8*T2^5 + 
     3*T1^9*T2^5 - 24*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 12*T1*T2^6 + 
     42*T1^2*T2^6 - 106*T1^3*T2^6 + 201*T1^4*T2^6 + 180*T1^5*T2^6 - 
     384*T1^6*T2^6 + 180*T1^7*T2^6 + 201*T1^8*T2^6 - 106*T1^9*T2^6 + 
     42*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 24*T1^2*T2^7 + 
     3*T1^3*T2^7 + 59*T1^4*T2^7 - 337*T1^5*T2^7 + 180*T1^6*T2^7 + 
     180*T1^7*T2^7 - 337*T1^8*T2^7 + 59*T1^9*T2^7 + 3*T1^10*T2^7 - 
     24*T1^11*T2^7 - 4*T1^12*T2^7 + 10*T1^2*T2^8 + 12*T1^3*T2^8 - 
     28*T1^4*T2^8 + 59*T1^5*T2^8 + 201*T1^6*T2^8 - 337*T1^7*T2^8 + 
     201*T1^8*T2^8 + 59*T1^9*T2^8 - 28*T1^10*T2^8 + 12*T1^11*T2^8 + 
     10*T1^12*T2^8 - 13*T1^3*T2^9 + 12*T1^4*T2^9 + 3*T1^5*T2^9 - 
     106*T1^6*T2^9 + 59*T1^7*T2^9 + 59*T1^8*T2^9 - 106*T1^9*T2^9 + 
     3*T1^10*T2^9 + 12*T1^11*T2^9 - 13*T1^12*T2^9 + 10*T1^4*T2^10 - 
     24*T1^5*T2^10 + 42*T1^6*T2^10 + 3*T1^7*T2^10 - 28*T1^8*T2^10 + 
     3*T1^9*T2^10 + 42*T1^10*T2^10 - 24*T1^11*T2^10 + 10*T1^12*T2^10 - 
     4*T1^5*T2^11 + 12*T1^6*T2^11 - 24*T1^7*T2^11 + 12*T1^8*T2^11 + 
     12*T1^9*T2^11 - 24*T1^10*T2^11 + 12*T1^11*T2^11 - 4*T1^12*T2^11 + 
     T1^6*T2^12 - 4*T1^7*T2^12 + 10*T1^8*T2^12 - 13*T1^9*T2^12 + 
     10*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[10, 152] -> {(1 - T - T^2 + 4*T^3 - 5*T^4 + 4*T^5 - T^6 - T^7 + T^8)/
    T^4, -((4 - 4*T1 - 4*T1^2 + 16*T1^3 - 20*T1^4 + 16*T1^5 - 4*T1^6 - 
      4*T1^7 + 4*T1^8 - 4*T2 + 8*T1^2*T2 - 12*T1^3*T2 + 4*T1^4*T2 + 
      4*T1^5*T2 - 12*T1^6*T2 + 8*T1^7*T2 - 4*T1^9*T2 - 4*T2^2 + 8*T1*T2^2 - 
      3*T1^2*T2^2 - 16*T1^3*T2^2 + 36*T1^4*T2^2 - 45*T1^5*T2^2 + 
      36*T1^6*T2^2 - 16*T1^7*T2^2 - 3*T1^8*T2^2 + 8*T1^9*T2^2 - 
      4*T1^10*T2^2 + 16*T2^3 - 12*T1*T2^3 - 16*T1^2*T2^3 + 60*T1^3*T2^3 - 
      64*T1^4*T2^3 + 32*T1^5*T2^3 + 32*T1^6*T2^3 - 64*T1^7*T2^3 + 
      60*T1^8*T2^3 - 16*T1^9*T2^3 - 12*T1^10*T2^3 + 16*T1^11*T2^3 - 20*T2^4 + 
      4*T1*T2^4 + 36*T1^2*T2^4 - 64*T1^3*T2^4 + 18*T1^4*T2^4 + 40*T1^5*T2^4 - 
      78*T1^6*T2^4 + 40*T1^7*T2^4 + 18*T1^8*T2^4 - 64*T1^9*T2^4 + 
      36*T1^10*T2^4 + 4*T1^11*T2^4 - 20*T1^12*T2^4 + 16*T2^5 + 4*T1*T2^5 - 
      45*T1^2*T2^5 + 32*T1^3*T2^5 + 40*T1^4*T2^5 - 70*T1^5*T2^5 + 
      33*T1^6*T2^5 + 33*T1^7*T2^5 - 70*T1^8*T2^5 + 40*T1^9*T2^5 + 
      32*T1^10*T2^5 - 45*T1^11*T2^5 + 4*T1^12*T2^5 + 16*T1^13*T2^5 - 4*T2^6 - 
      12*T1*T2^6 + 36*T1^2*T2^6 + 32*T1^3*T2^6 - 78*T1^4*T2^6 + 
      33*T1^5*T2^6 + 68*T1^6*T2^6 - 88*T1^7*T2^6 + 68*T1^8*T2^6 + 
      33*T1^9*T2^6 - 78*T1^10*T2^6 + 32*T1^11*T2^6 + 36*T1^12*T2^6 - 
      12*T1^13*T2^6 - 4*T1^14*T2^6 - 4*T2^7 + 8*T1*T2^7 - 16*T1^2*T2^7 - 
      64*T1^3*T2^7 + 40*T1^4*T2^7 + 33*T1^5*T2^7 - 88*T1^6*T2^7 + 
      14*T1^7*T2^7 + 14*T1^8*T2^7 - 88*T1^9*T2^7 + 33*T1^10*T2^7 + 
      40*T1^11*T2^7 - 64*T1^12*T2^7 - 16*T1^13*T2^7 + 8*T1^14*T2^7 - 
      4*T1^15*T2^7 + 4*T2^8 - 3*T1^2*T2^8 + 60*T1^3*T2^8 + 18*T1^4*T2^8 - 
      70*T1^5*T2^8 + 68*T1^6*T2^8 + 14*T1^7*T2^8 + 12*T1^8*T2^8 + 
      14*T1^9*T2^8 + 68*T1^10*T2^8 - 70*T1^11*T2^8 + 18*T1^12*T2^8 + 
      60*T1^13*T2^8 - 3*T1^14*T2^8 + 4*T1^16*T2^8 - 4*T1*T2^9 + 8*T1^2*T2^9 - 
      16*T1^3*T2^9 - 64*T1^4*T2^9 + 40*T1^5*T2^9 + 33*T1^6*T2^9 - 
      88*T1^7*T2^9 + 14*T1^8*T2^9 + 14*T1^9*T2^9 - 88*T1^10*T2^9 + 
      33*T1^11*T2^9 + 40*T1^12*T2^9 - 64*T1^13*T2^9 - 16*T1^14*T2^9 + 
      8*T1^15*T2^9 - 4*T1^16*T2^9 - 4*T1^2*T2^10 - 12*T1^3*T2^10 + 
      36*T1^4*T2^10 + 32*T1^5*T2^10 - 78*T1^6*T2^10 + 33*T1^7*T2^10 + 
      68*T1^8*T2^10 - 88*T1^9*T2^10 + 68*T1^10*T2^10 + 33*T1^11*T2^10 - 
      78*T1^12*T2^10 + 32*T1^13*T2^10 + 36*T1^14*T2^10 - 12*T1^15*T2^10 - 
      4*T1^16*T2^10 + 16*T1^3*T2^11 + 4*T1^4*T2^11 - 45*T1^5*T2^11 + 
      32*T1^6*T2^11 + 40*T1^7*T2^11 - 70*T1^8*T2^11 + 33*T1^9*T2^11 + 
      33*T1^10*T2^11 - 70*T1^11*T2^11 + 40*T1^12*T2^11 + 32*T1^13*T2^11 - 
      45*T1^14*T2^11 + 4*T1^15*T2^11 + 16*T1^16*T2^11 - 20*T1^4*T2^12 + 
      4*T1^5*T2^12 + 36*T1^6*T2^12 - 64*T1^7*T2^12 + 18*T1^8*T2^12 + 
      40*T1^9*T2^12 - 78*T1^10*T2^12 + 40*T1^11*T2^12 + 18*T1^12*T2^12 - 
      64*T1^13*T2^12 + 36*T1^14*T2^12 + 4*T1^15*T2^12 - 20*T1^16*T2^12 + 
      16*T1^5*T2^13 - 12*T1^6*T2^13 - 16*T1^7*T2^13 + 60*T1^8*T2^13 - 
      64*T1^9*T2^13 + 32*T1^10*T2^13 + 32*T1^11*T2^13 - 64*T1^12*T2^13 + 
      60*T1^13*T2^13 - 16*T1^14*T2^13 - 12*T1^15*T2^13 + 16*T1^16*T2^13 - 
      4*T1^6*T2^14 + 8*T1^7*T2^14 - 3*T1^8*T2^14 - 16*T1^9*T2^14 + 
      36*T1^10*T2^14 - 45*T1^11*T2^14 + 36*T1^12*T2^14 - 16*T1^13*T2^14 - 
      3*T1^14*T2^14 + 8*T1^15*T2^14 - 4*T1^16*T2^14 - 4*T1^7*T2^15 + 
      8*T1^9*T2^15 - 12*T1^10*T2^15 + 4*T1^11*T2^15 + 4*T1^12*T2^15 - 
      12*T1^13*T2^15 + 8*T1^14*T2^15 - 4*T1^16*T2^15 + 4*T1^8*T2^16 - 
      4*T1^9*T2^16 - 4*T1^10*T2^16 + 16*T1^11*T2^16 - 20*T1^12*T2^16 + 
      16*T1^13*T2^16 - 4*T1^14*T2^16 - 4*T1^15*T2^16 + 4*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[10, 153] -> {((1 - T + T^3)*(1 - T^2 + T^3))/T^3, 
   -((1 - T1 - T1^2 + 3*T1^3 - T1^4 - T1^5 + T1^6 - T2 - 2*T1*T2 + 
      5*T1^2*T2 - 4*T1^3*T2 - 4*T1^4*T2 + 5*T1^5*T2 - 2*T1^6*T2 - T1^7*T2 - 
      T2^2 + 5*T1*T2^2 - 2*T1^2*T2^2 - 4*T1^3*T2^2 + 10*T1^4*T2^2 - 
      4*T1^5*T2^2 - 2*T1^6*T2^2 + 5*T1^7*T2^2 - T1^8*T2^2 + 3*T2^3 - 
      4*T1*T2^3 - 4*T1^2*T2^3 + 10*T1^3*T2^3 - 6*T1^4*T2^3 - 6*T1^5*T2^3 + 
      10*T1^6*T2^3 - 4*T1^7*T2^3 - 4*T1^8*T2^3 + 3*T1^9*T2^3 - T2^4 - 
      4*T1*T2^4 + 10*T1^2*T2^4 - 6*T1^3*T2^4 - 10*T1^4*T2^4 + 18*T1^5*T2^4 - 
      10*T1^6*T2^4 - 6*T1^7*T2^4 + 10*T1^8*T2^4 - 4*T1^9*T2^4 - T1^10*T2^4 - 
      T2^5 + 5*T1*T2^5 - 4*T1^2*T2^5 - 6*T1^3*T2^5 + 18*T1^4*T2^5 - 
      10*T1^5*T2^5 - 10*T1^6*T2^5 + 18*T1^7*T2^5 - 6*T1^8*T2^5 - 
      4*T1^9*T2^5 + 5*T1^10*T2^5 - T1^11*T2^5 + T2^6 - 2*T1*T2^6 - 
      2*T1^2*T2^6 + 10*T1^3*T2^6 - 10*T1^4*T2^6 - 10*T1^5*T2^6 + 
      24*T1^6*T2^6 - 10*T1^7*T2^6 - 10*T1^8*T2^6 + 10*T1^9*T2^6 - 
      2*T1^10*T2^6 - 2*T1^11*T2^6 + T1^12*T2^6 - T1*T2^7 + 5*T1^2*T2^7 - 
      4*T1^3*T2^7 - 6*T1^4*T2^7 + 18*T1^5*T2^7 - 10*T1^6*T2^7 - 
      10*T1^7*T2^7 + 18*T1^8*T2^7 - 6*T1^9*T2^7 - 4*T1^10*T2^7 + 
      5*T1^11*T2^7 - T1^12*T2^7 - T1^2*T2^8 - 4*T1^3*T2^8 + 10*T1^4*T2^8 - 
      6*T1^5*T2^8 - 10*T1^6*T2^8 + 18*T1^7*T2^8 - 10*T1^8*T2^8 - 
      6*T1^9*T2^8 + 10*T1^10*T2^8 - 4*T1^11*T2^8 - T1^12*T2^8 + 3*T1^3*T2^9 - 
      4*T1^4*T2^9 - 4*T1^5*T2^9 + 10*T1^6*T2^9 - 6*T1^7*T2^9 - 6*T1^8*T2^9 + 
      10*T1^9*T2^9 - 4*T1^10*T2^9 - 4*T1^11*T2^9 + 3*T1^12*T2^9 - 
      T1^4*T2^10 + 5*T1^5*T2^10 - 2*T1^6*T2^10 - 4*T1^7*T2^10 + 
      10*T1^8*T2^10 - 4*T1^9*T2^10 - 2*T1^10*T2^10 + 5*T1^11*T2^10 - 
      T1^12*T2^10 - T1^5*T2^11 - 2*T1^6*T2^11 + 5*T1^7*T2^11 - 4*T1^8*T2^11 - 
      4*T1^9*T2^11 + 5*T1^10*T2^11 - 2*T1^11*T2^11 - T1^12*T2^11 + 
      T1^6*T2^12 - T1^7*T2^12 - T1^8*T2^12 + 3*T1^9*T2^12 - T1^10*T2^12 - 
      T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[10, 154] -> {(1 - 4*T^2 + 7*T^3 - 4*T^4 + T^6)/T^3, 
   (3 - 12*T1^2 + 21*T1^3 - 12*T1^4 + 3*T1^6 - 12*T2^2 + 34*T1^2*T2^2 - 
     72*T1^3*T2^2 + 78*T1^4*T2^2 - 72*T1^5*T2^2 + 34*T1^6*T2^2 - 
     12*T1^8*T2^2 + 21*T2^3 - 72*T1^2*T2^3 + 126*T1^3*T2^3 - 59*T1^4*T2^3 - 
     59*T1^5*T2^3 + 126*T1^6*T2^3 - 72*T1^7*T2^3 + 21*T1^9*T2^3 - 12*T2^4 + 
     78*T1^2*T2^4 - 59*T1^3*T2^4 - 108*T1^4*T2^4 + 236*T1^5*T2^4 - 
     108*T1^6*T2^4 - 59*T1^7*T2^4 + 78*T1^8*T2^4 - 12*T1^10*T2^4 - 
     72*T1^2*T2^5 - 59*T1^3*T2^5 + 236*T1^4*T2^5 - 186*T1^5*T2^5 - 
     186*T1^6*T2^5 + 236*T1^7*T2^5 - 59*T1^8*T2^5 - 72*T1^9*T2^5 + 3*T2^6 + 
     34*T1^2*T2^6 + 126*T1^3*T2^6 - 108*T1^4*T2^6 - 186*T1^5*T2^6 + 
     492*T1^6*T2^6 - 186*T1^7*T2^6 - 108*T1^8*T2^6 + 126*T1^9*T2^6 + 
     34*T1^10*T2^6 + 3*T1^12*T2^6 - 72*T1^3*T2^7 - 59*T1^4*T2^7 + 
     236*T1^5*T2^7 - 186*T1^6*T2^7 - 186*T1^7*T2^7 + 236*T1^8*T2^7 - 
     59*T1^9*T2^7 - 72*T1^10*T2^7 - 12*T1^2*T2^8 + 78*T1^4*T2^8 - 
     59*T1^5*T2^8 - 108*T1^6*T2^8 + 236*T1^7*T2^8 - 108*T1^8*T2^8 - 
     59*T1^9*T2^8 + 78*T1^10*T2^8 - 12*T1^12*T2^8 + 21*T1^3*T2^9 - 
     72*T1^5*T2^9 + 126*T1^6*T2^9 - 59*T1^7*T2^9 - 59*T1^8*T2^9 + 
     126*T1^9*T2^9 - 72*T1^10*T2^9 + 21*T1^12*T2^9 - 12*T1^4*T2^10 + 
     34*T1^6*T2^10 - 72*T1^7*T2^10 + 78*T1^8*T2^10 - 72*T1^9*T2^10 + 
     34*T1^10*T2^10 - 12*T1^12*T2^10 + 3*T1^6*T2^12 - 12*T1^8*T2^12 + 
     21*T1^9*T2^12 - 12*T1^10*T2^12 + 3*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[10, 155] -> {-(((-1 + T - 2*T^2 + T^3)*(-1 + 2*T - T^2 + T^3))/T^3), 
   (-2*(1 - 4*T1 + 5*T1^2 - 4*T1^3 + T1^4 - 4*T2 + 11*T1*T2 - 3*T1^2*T2 - 
      3*T1^3*T2 + 11*T1^4*T2 - 4*T1^5*T2 + 5*T2^2 - 3*T1*T2^2 - 
      26*T1^2*T2^2 + 24*T1^3*T2^2 - 26*T1^4*T2^2 - 3*T1^5*T2^2 + 
      5*T1^6*T2^2 - 4*T2^3 - 3*T1*T2^3 + 24*T1^2*T2^3 + 4*T1^3*T2^3 + 
      4*T1^4*T2^3 + 24*T1^5*T2^3 - 3*T1^6*T2^3 - 4*T1^7*T2^3 + T2^4 + 
      11*T1*T2^4 - 26*T1^2*T2^4 + 4*T1^3*T2^4 - 30*T1^4*T2^4 + 4*T1^5*T2^4 - 
      26*T1^6*T2^4 + 11*T1^7*T2^4 + T1^8*T2^4 - 4*T1*T2^5 - 3*T1^2*T2^5 + 
      24*T1^3*T2^5 + 4*T1^4*T2^5 + 4*T1^5*T2^5 + 24*T1^6*T2^5 - 3*T1^7*T2^5 - 
      4*T1^8*T2^5 + 5*T1^2*T2^6 - 3*T1^3*T2^6 - 26*T1^4*T2^6 + 24*T1^5*T2^6 - 
      26*T1^6*T2^6 - 3*T1^7*T2^6 + 5*T1^8*T2^6 - 4*T1^3*T2^7 + 11*T1^4*T2^7 - 
      3*T1^5*T2^7 - 3*T1^6*T2^7 + 11*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))/(T1^4*T2^4)}, 
 Knot[10, 156] -> {(1 - 4*T + 8*T^2 - 9*T^3 + 8*T^4 - 4*T^5 + T^6)/T^3, 
   -((1 - 4*T1 + 8*T1^2 - 9*T1^3 + 8*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 12*T1*T2 - 
      16*T1^2*T2 + 4*T1^3*T2 + 4*T1^4*T2 - 16*T1^5*T2 + 12*T1^6*T2 - 
      4*T1^7*T2 + 8*T2^2 - 16*T1*T2^2 + 8*T1^2*T2^2 + 28*T1^3*T2^2 - 
      24*T1^4*T2^2 + 28*T1^5*T2^2 + 8*T1^6*T2^2 - 16*T1^7*T2^2 + 
      8*T1^8*T2^2 - 9*T2^3 + 4*T1*T2^3 + 28*T1^2*T2^3 - 72*T1^3*T2^3 + 
      12*T1^4*T2^3 + 12*T1^5*T2^3 - 72*T1^6*T2^3 + 28*T1^7*T2^3 + 
      4*T1^8*T2^3 - 9*T1^9*T2^3 + 8*T2^4 + 4*T1*T2^4 - 24*T1^2*T2^4 + 
      12*T1^3*T2^4 + 122*T1^4*T2^4 - 132*T1^5*T2^4 + 122*T1^6*T2^4 + 
      12*T1^7*T2^4 - 24*T1^8*T2^4 + 4*T1^9*T2^4 + 8*T1^10*T2^4 - 4*T2^5 - 
      16*T1*T2^5 + 28*T1^2*T2^5 + 12*T1^3*T2^5 - 132*T1^4*T2^5 + 
      48*T1^5*T2^5 + 48*T1^6*T2^5 - 132*T1^7*T2^5 + 12*T1^8*T2^5 + 
      28*T1^9*T2^5 - 16*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 12*T1*T2^6 + 
      8*T1^2*T2^6 - 72*T1^3*T2^6 + 122*T1^4*T2^6 + 48*T1^5*T2^6 - 
      108*T1^6*T2^6 + 48*T1^7*T2^6 + 122*T1^8*T2^6 - 72*T1^9*T2^6 + 
      8*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 16*T1^2*T2^7 + 
      28*T1^3*T2^7 + 12*T1^4*T2^7 - 132*T1^5*T2^7 + 48*T1^6*T2^7 + 
      48*T1^7*T2^7 - 132*T1^8*T2^7 + 12*T1^9*T2^7 + 28*T1^10*T2^7 - 
      16*T1^11*T2^7 - 4*T1^12*T2^7 + 8*T1^2*T2^8 + 4*T1^3*T2^8 - 
      24*T1^4*T2^8 + 12*T1^5*T2^8 + 122*T1^6*T2^8 - 132*T1^7*T2^8 + 
      122*T1^8*T2^8 + 12*T1^9*T2^8 - 24*T1^10*T2^8 + 4*T1^11*T2^8 + 
      8*T1^12*T2^8 - 9*T1^3*T2^9 + 4*T1^4*T2^9 + 28*T1^5*T2^9 - 
      72*T1^6*T2^9 + 12*T1^7*T2^9 + 12*T1^8*T2^9 - 72*T1^9*T2^9 + 
      28*T1^10*T2^9 + 4*T1^11*T2^9 - 9*T1^12*T2^9 + 8*T1^4*T2^10 - 
      16*T1^5*T2^10 + 8*T1^6*T2^10 + 28*T1^7*T2^10 - 24*T1^8*T2^10 + 
      28*T1^9*T2^10 + 8*T1^10*T2^10 - 16*T1^11*T2^10 + 8*T1^12*T2^10 - 
      4*T1^5*T2^11 + 12*T1^6*T2^11 - 16*T1^7*T2^11 + 4*T1^8*T2^11 + 
      4*T1^9*T2^11 - 16*T1^10*T2^11 + 12*T1^11*T2^11 - 4*T1^12*T2^11 + 
      T1^6*T2^12 - 4*T1^7*T2^12 + 8*T1^8*T2^12 - 9*T1^9*T2^12 + 
      8*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[10, 157] -> {-((1 - 6*T + 11*T^2 - 13*T^3 + 11*T^4 - 6*T^5 + T^6)/T^3), 
   -((2 - 12*T1 + 22*T1^2 - 26*T1^3 + 22*T1^4 - 12*T1^5 + 2*T1^6 - 12*T2 + 
      60*T1*T2 - 56*T1^2*T2 + 21*T1^3*T2 + 21*T1^4*T2 - 56*T1^5*T2 + 
      60*T1^6*T2 - 12*T1^7*T2 + 22*T2^2 - 56*T1*T2^2 - 188*T1^2*T2^2 + 
      389*T1^3*T2^2 - 458*T1^4*T2^2 + 389*T1^5*T2^2 - 188*T1^6*T2^2 - 
      56*T1^7*T2^2 + 22*T1^8*T2^2 - 26*T2^3 + 21*T1*T2^3 + 389*T1^2*T2^3 - 
      350*T1^3*T2^3 + 129*T1^4*T2^3 + 129*T1^5*T2^3 - 350*T1^6*T2^3 + 
      389*T1^7*T2^3 + 21*T1^8*T2^3 - 26*T1^9*T2^3 + 22*T2^4 + 21*T1*T2^4 - 
      458*T1^2*T2^4 + 129*T1^3*T2^4 + 8*T1^4*T2^4 - 36*T1^5*T2^4 + 
      8*T1^6*T2^4 + 129*T1^7*T2^4 - 458*T1^8*T2^4 + 21*T1^9*T2^4 + 
      22*T1^10*T2^4 - 12*T2^5 - 56*T1*T2^5 + 389*T1^2*T2^5 + 129*T1^3*T2^5 - 
      36*T1^4*T2^5 - 2*T1^5*T2^5 - 2*T1^6*T2^5 - 36*T1^7*T2^5 + 
      129*T1^8*T2^5 + 389*T1^9*T2^5 - 56*T1^10*T2^5 - 12*T1^11*T2^5 + 
      2*T2^6 + 60*T1*T2^6 - 188*T1^2*T2^6 - 350*T1^3*T2^6 + 8*T1^4*T2^6 - 
      2*T1^5*T2^6 + 24*T1^6*T2^6 - 2*T1^7*T2^6 + 8*T1^8*T2^6 - 
      350*T1^9*T2^6 - 188*T1^10*T2^6 + 60*T1^11*T2^6 + 2*T1^12*T2^6 - 
      12*T1*T2^7 - 56*T1^2*T2^7 + 389*T1^3*T2^7 + 129*T1^4*T2^7 - 
      36*T1^5*T2^7 - 2*T1^6*T2^7 - 2*T1^7*T2^7 - 36*T1^8*T2^7 + 
      129*T1^9*T2^7 + 389*T1^10*T2^7 - 56*T1^11*T2^7 - 12*T1^12*T2^7 + 
      22*T1^2*T2^8 + 21*T1^3*T2^8 - 458*T1^4*T2^8 + 129*T1^5*T2^8 + 
      8*T1^6*T2^8 - 36*T1^7*T2^8 + 8*T1^8*T2^8 + 129*T1^9*T2^8 - 
      458*T1^10*T2^8 + 21*T1^11*T2^8 + 22*T1^12*T2^8 - 26*T1^3*T2^9 + 
      21*T1^4*T2^9 + 389*T1^5*T2^9 - 350*T1^6*T2^9 + 129*T1^7*T2^9 + 
      129*T1^8*T2^9 - 350*T1^9*T2^9 + 389*T1^10*T2^9 + 21*T1^11*T2^9 - 
      26*T1^12*T2^9 + 22*T1^4*T2^10 - 56*T1^5*T2^10 - 188*T1^6*T2^10 + 
      389*T1^7*T2^10 - 458*T1^8*T2^10 + 389*T1^9*T2^10 - 188*T1^10*T2^10 - 
      56*T1^11*T2^10 + 22*T1^12*T2^10 - 12*T1^5*T2^11 + 60*T1^6*T2^11 - 
      56*T1^7*T2^11 + 21*T1^8*T2^11 + 21*T1^9*T2^11 - 56*T1^10*T2^11 + 
      60*T1^11*T2^11 - 12*T1^12*T2^11 + 2*T1^6*T2^12 - 12*T1^7*T2^12 + 
      22*T1^8*T2^12 - 26*T1^9*T2^12 + 22*T1^10*T2^12 - 12*T1^11*T2^12 + 
      2*T1^12*T2^12)/(T1^6*T2^6))}, Knot[10, 158] -> 
  {-((1 - 4*T + 10*T^2 - 15*T^3 + 10*T^4 - 4*T^5 + T^6)/T^3), 
   (2 - 4*T1 + 4*T1^2 - 4*T1^3 + 2*T1^4 - 4*T2 + 2*T1*T2 + T1^2*T2 + 
     T1^3*T2 + 2*T1^4*T2 - 4*T1^5*T2 + 4*T2^2 + T1*T2^2 - T1^2*T2^2 + 
     3*T1^3*T2^2 - T1^4*T2^2 + T1^5*T2^2 + 4*T1^6*T2^2 - 4*T2^3 + T1*T2^3 + 
     3*T1^2*T2^3 - 14*T1^3*T2^3 - 14*T1^4*T2^3 + 3*T1^5*T2^3 + T1^6*T2^3 - 
     4*T1^7*T2^3 + 2*T2^4 + 2*T1*T2^4 - T1^2*T2^4 - 14*T1^3*T2^4 + 
     60*T1^4*T2^4 - 14*T1^5*T2^4 - T1^6*T2^4 + 2*T1^7*T2^4 + 2*T1^8*T2^4 - 
     4*T1*T2^5 + T1^2*T2^5 + 3*T1^3*T2^5 - 14*T1^4*T2^5 - 14*T1^5*T2^5 + 
     3*T1^6*T2^5 + T1^7*T2^5 - 4*T1^8*T2^5 + 4*T1^2*T2^6 + T1^3*T2^6 - 
     T1^4*T2^6 + 3*T1^5*T2^6 - T1^6*T2^6 + T1^7*T2^6 + 4*T1^8*T2^6 - 
     4*T1^3*T2^7 + 2*T1^4*T2^7 + T1^5*T2^7 + T1^6*T2^7 + 2*T1^7*T2^7 - 
     4*T1^8*T2^7 + 2*T1^4*T2^8 - 4*T1^5*T2^8 + 4*T1^6*T2^8 - 4*T1^7*T2^8 + 
     2*T1^8*T2^8)/(T1^4*T2^4)}, Knot[10, 159] -> 
  {((1 - T + T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3, 
   -((1 - 4*T1 + 9*T1^2 - 11*T1^3 + 9*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 
      12*T1*T2 - 20*T1^2*T2 + 8*T1^3*T2 + 8*T1^4*T2 - 20*T1^5*T2 + 
      12*T1^6*T2 - 4*T1^7*T2 + 9*T2^2 - 20*T1*T2^2 + 35*T1^2*T2^2 - 
      11*T1^3*T2^2 + 13*T1^4*T2^2 - 11*T1^5*T2^2 + 35*T1^6*T2^2 - 
      20*T1^7*T2^2 + 9*T1^8*T2^2 - 11*T2^3 + 8*T1*T2^3 - 11*T1^2*T2^3 - 
      46*T1^3*T2^3 + T1^4*T2^3 + T1^5*T2^3 - 46*T1^6*T2^3 - 11*T1^7*T2^3 + 
      8*T1^8*T2^3 - 11*T1^9*T2^3 + 9*T2^4 + 8*T1*T2^4 + 13*T1^2*T2^4 + 
      T1^3*T2^4 + 170*T1^4*T2^4 - 158*T1^5*T2^4 + 170*T1^6*T2^4 + T1^7*T2^4 + 
      13*T1^8*T2^4 + 8*T1^9*T2^4 + 9*T1^10*T2^4 - 4*T2^5 - 20*T1*T2^5 - 
      11*T1^2*T2^5 + T1^3*T2^5 - 158*T1^4*T2^5 + 8*T1^5*T2^5 + 8*T1^6*T2^5 - 
      158*T1^7*T2^5 + T1^8*T2^5 - 11*T1^9*T2^5 - 20*T1^10*T2^5 - 
      4*T1^11*T2^5 + T2^6 + 12*T1*T2^6 + 35*T1^2*T2^6 - 46*T1^3*T2^6 + 
      170*T1^4*T2^6 + 8*T1^5*T2^6 + 60*T1^6*T2^6 + 8*T1^7*T2^6 + 
      170*T1^8*T2^6 - 46*T1^9*T2^6 + 35*T1^10*T2^6 + 12*T1^11*T2^6 + 
      T1^12*T2^6 - 4*T1*T2^7 - 20*T1^2*T2^7 - 11*T1^3*T2^7 + T1^4*T2^7 - 
      158*T1^5*T2^7 + 8*T1^6*T2^7 + 8*T1^7*T2^7 - 158*T1^8*T2^7 + T1^9*T2^7 - 
      11*T1^10*T2^7 - 20*T1^11*T2^7 - 4*T1^12*T2^7 + 9*T1^2*T2^8 + 
      8*T1^3*T2^8 + 13*T1^4*T2^8 + T1^5*T2^8 + 170*T1^6*T2^8 - 
      158*T1^7*T2^8 + 170*T1^8*T2^8 + T1^9*T2^8 + 13*T1^10*T2^8 + 
      8*T1^11*T2^8 + 9*T1^12*T2^8 - 11*T1^3*T2^9 + 8*T1^4*T2^9 - 
      11*T1^5*T2^9 - 46*T1^6*T2^9 + T1^7*T2^9 + T1^8*T2^9 - 46*T1^9*T2^9 - 
      11*T1^10*T2^9 + 8*T1^11*T2^9 - 11*T1^12*T2^9 + 9*T1^4*T2^10 - 
      20*T1^5*T2^10 + 35*T1^6*T2^10 - 11*T1^7*T2^10 + 13*T1^8*T2^10 - 
      11*T1^9*T2^10 + 35*T1^10*T2^10 - 20*T1^11*T2^10 + 9*T1^12*T2^10 - 
      4*T1^5*T2^11 + 12*T1^6*T2^11 - 20*T1^7*T2^11 + 8*T1^8*T2^11 + 
      8*T1^9*T2^11 - 20*T1^10*T2^11 + 12*T1^11*T2^11 - 4*T1^12*T2^11 + 
      T1^6*T2^12 - 4*T1^7*T2^12 + 9*T1^8*T2^12 - 11*T1^9*T2^12 + 
      9*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[10, 160] -> {-((1 - 4*T + 4*T^2 - 3*T^3 + 4*T^4 - 4*T^5 + T^6)/T^3), 
   -((2 - 8*T1 + 8*T1^2 - 6*T1^3 + 8*T1^4 - 8*T1^5 + 2*T1^6 - 8*T2 + 
      24*T1*T2 - 8*T1^3*T2 - 8*T1^4*T2 + 24*T1^6*T2 - 8*T1^7*T2 + 8*T2^2 - 
      84*T1^2*T2^2 + 66*T1^3*T2^2 - 26*T1^4*T2^2 + 66*T1^5*T2^2 - 
      84*T1^6*T2^2 + 8*T1^8*T2^2 - 6*T2^3 - 8*T1*T2^3 + 66*T1^2*T2^3 + 
      14*T1^3*T2^3 - 33*T1^4*T2^3 - 33*T1^5*T2^3 + 14*T1^6*T2^3 + 
      66*T1^7*T2^3 - 8*T1^8*T2^3 - 6*T1^9*T2^3 + 8*T2^4 - 8*T1*T2^4 - 
      26*T1^2*T2^4 - 33*T1^3*T2^4 + 26*T1^4*T2^4 + 2*T1^5*T2^4 + 
      26*T1^6*T2^4 - 33*T1^7*T2^4 - 26*T1^8*T2^4 - 8*T1^9*T2^4 + 
      8*T1^10*T2^4 - 8*T2^5 + 66*T1^2*T2^5 - 33*T1^3*T2^5 + 2*T1^4*T2^5 + 
      2*T1^5*T2^5 + 2*T1^6*T2^5 + 2*T1^7*T2^5 - 33*T1^8*T2^5 + 66*T1^9*T2^5 - 
      8*T1^11*T2^5 + 2*T2^6 + 24*T1*T2^6 - 84*T1^2*T2^6 + 14*T1^3*T2^6 + 
      26*T1^4*T2^6 + 2*T1^5*T2^6 - 24*T1^6*T2^6 + 2*T1^7*T2^6 + 
      26*T1^8*T2^6 + 14*T1^9*T2^6 - 84*T1^10*T2^6 + 24*T1^11*T2^6 + 
      2*T1^12*T2^6 - 8*T1*T2^7 + 66*T1^3*T2^7 - 33*T1^4*T2^7 + 2*T1^5*T2^7 + 
      2*T1^6*T2^7 + 2*T1^7*T2^7 + 2*T1^8*T2^7 - 33*T1^9*T2^7 + 
      66*T1^10*T2^7 - 8*T1^12*T2^7 + 8*T1^2*T2^8 - 8*T1^3*T2^8 - 
      26*T1^4*T2^8 - 33*T1^5*T2^8 + 26*T1^6*T2^8 + 2*T1^7*T2^8 + 
      26*T1^8*T2^8 - 33*T1^9*T2^8 - 26*T1^10*T2^8 - 8*T1^11*T2^8 + 
      8*T1^12*T2^8 - 6*T1^3*T2^9 - 8*T1^4*T2^9 + 66*T1^5*T2^9 + 
      14*T1^6*T2^9 - 33*T1^7*T2^9 - 33*T1^8*T2^9 + 14*T1^9*T2^9 + 
      66*T1^10*T2^9 - 8*T1^11*T2^9 - 6*T1^12*T2^9 + 8*T1^4*T2^10 - 
      84*T1^6*T2^10 + 66*T1^7*T2^10 - 26*T1^8*T2^10 + 66*T1^9*T2^10 - 
      84*T1^10*T2^10 + 8*T1^12*T2^10 - 8*T1^5*T2^11 + 24*T1^6*T2^11 - 
      8*T1^8*T2^11 - 8*T1^9*T2^11 + 24*T1^11*T2^11 - 8*T1^12*T2^11 + 
      2*T1^6*T2^12 - 8*T1^7*T2^12 + 8*T1^8*T2^12 - 6*T1^9*T2^12 + 
      8*T1^10*T2^12 - 8*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[10, 161] -> {(1 - 2*T^2 + 3*T^3 - 2*T^4 + T^6)/T^3, 
   -((3 - 6*T1^2 + 9*T1^3 - 6*T1^4 + 3*T1^6 - T1^2*T2 + T1^3*T2 + T1^4*T2 - 
      T1^5*T2 - 6*T2^2 - T1*T2^2 + 8*T1^2*T2^2 - 15*T1^3*T2^2 + 
      16*T1^4*T2^2 - 15*T1^5*T2^2 + 8*T1^6*T2^2 - T1^7*T2^2 - 6*T1^8*T2^2 + 
      9*T2^3 + T1*T2^3 - 15*T1^2*T2^3 + 22*T1^3*T2^3 - 9*T1^4*T2^3 - 
      9*T1^5*T2^3 + 22*T1^6*T2^3 - 15*T1^7*T2^3 + T1^8*T2^3 + 9*T1^9*T2^3 - 
      6*T2^4 + T1*T2^4 + 16*T1^2*T2^4 - 9*T1^3*T2^4 - 7*T1^4*T2^4 + 
      13*T1^5*T2^4 - 7*T1^6*T2^4 - 9*T1^7*T2^4 + 16*T1^8*T2^4 + T1^9*T2^4 - 
      6*T1^10*T2^4 - T1*T2^5 - 15*T1^2*T2^5 - 9*T1^3*T2^5 + 13*T1^4*T2^5 - 
      6*T1^5*T2^5 - 6*T1^6*T2^5 + 13*T1^7*T2^5 - 9*T1^8*T2^5 - 15*T1^9*T2^5 - 
      T1^10*T2^5 + 3*T2^6 + 8*T1^2*T2^6 + 22*T1^3*T2^6 - 7*T1^4*T2^6 - 
      6*T1^5*T2^6 + 12*T1^6*T2^6 - 6*T1^7*T2^6 - 7*T1^8*T2^6 + 22*T1^9*T2^6 + 
      8*T1^10*T2^6 + 3*T1^12*T2^6 - T1^2*T2^7 - 15*T1^3*T2^7 - 9*T1^4*T2^7 + 
      13*T1^5*T2^7 - 6*T1^6*T2^7 - 6*T1^7*T2^7 + 13*T1^8*T2^7 - 9*T1^9*T2^7 - 
      15*T1^10*T2^7 - T1^11*T2^7 - 6*T1^2*T2^8 + T1^3*T2^8 + 16*T1^4*T2^8 - 
      9*T1^5*T2^8 - 7*T1^6*T2^8 + 13*T1^7*T2^8 - 7*T1^8*T2^8 - 9*T1^9*T2^8 + 
      16*T1^10*T2^8 + T1^11*T2^8 - 6*T1^12*T2^8 + 9*T1^3*T2^9 + T1^4*T2^9 - 
      15*T1^5*T2^9 + 22*T1^6*T2^9 - 9*T1^7*T2^9 - 9*T1^8*T2^9 + 
      22*T1^9*T2^9 - 15*T1^10*T2^9 + T1^11*T2^9 + 9*T1^12*T2^9 - 
      6*T1^4*T2^10 - T1^5*T2^10 + 8*T1^6*T2^10 - 15*T1^7*T2^10 + 
      16*T1^8*T2^10 - 15*T1^9*T2^10 + 8*T1^10*T2^10 - T1^11*T2^10 - 
      6*T1^12*T2^10 - T1^7*T2^11 + T1^8*T2^11 + T1^9*T2^11 - T1^10*T2^11 + 
      3*T1^6*T2^12 - 6*T1^8*T2^12 + 9*T1^9*T2^12 - 6*T1^10*T2^12 + 
      3*T1^12*T2^12)/(T1^6*T2^6))}, Knot[10, 162] -> 
  {-((3 - 9*T + 11*T^2 - 9*T^3 + 3*T^4)/T^2), 
   (30 - 87*T1 + 104*T1^2 - 87*T1^3 + 30*T1^4 - 87*T2 + 164*T1*T2 - 
     48*T1^2*T2 - 48*T1^3*T2 + 164*T1^4*T2 - 87*T1^5*T2 + 104*T2^2 - 
     48*T1*T2^2 - 280*T1^2*T2^2 + 304*T1^3*T2^2 - 280*T1^4*T2^2 - 
     48*T1^5*T2^2 + 104*T1^6*T2^2 - 87*T2^3 - 48*T1*T2^3 + 304*T1^2*T2^3 - 
     58*T1^3*T2^3 - 58*T1^4*T2^3 + 304*T1^5*T2^3 - 48*T1^6*T2^3 - 
     87*T1^7*T2^3 + 30*T2^4 + 164*T1*T2^4 - 280*T1^2*T2^4 - 58*T1^3*T2^4 + 
     36*T1^4*T2^4 - 58*T1^5*T2^4 - 280*T1^6*T2^4 + 164*T1^7*T2^4 + 
     30*T1^8*T2^4 - 87*T1*T2^5 - 48*T1^2*T2^5 + 304*T1^3*T2^5 - 
     58*T1^4*T2^5 - 58*T1^5*T2^5 + 304*T1^6*T2^5 - 48*T1^7*T2^5 - 
     87*T1^8*T2^5 + 104*T1^2*T2^6 - 48*T1^3*T2^6 - 280*T1^4*T2^6 + 
     304*T1^5*T2^6 - 280*T1^6*T2^6 - 48*T1^7*T2^6 + 104*T1^8*T2^6 - 
     87*T1^3*T2^7 + 164*T1^4*T2^7 - 48*T1^5*T2^7 - 48*T1^6*T2^7 + 
     164*T1^7*T2^7 - 87*T1^8*T2^7 + 30*T1^4*T2^8 - 87*T1^5*T2^8 + 
     104*T1^6*T2^8 - 87*T1^7*T2^8 + 30*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[10, 163] -> {((1 - T + T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^3, 
   (1 - 5*T1 + 12*T1^2 - 15*T1^3 + 12*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 35*T1^2*T2 + 15*T1^3*T2 + 15*T1^4*T2 - 35*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 12*T2^2 - 35*T1*T2^2 + 27*T1^2*T2^2 + 
     74*T1^3*T2^2 - 109*T1^4*T2^2 + 74*T1^5*T2^2 + 27*T1^6*T2^2 - 
     35*T1^7*T2^2 + 12*T1^8*T2^2 - 15*T2^3 + 15*T1*T2^3 + 74*T1^2*T2^3 - 
     238*T1^3*T2^3 + 99*T1^4*T2^3 + 99*T1^5*T2^3 - 238*T1^6*T2^3 + 
     74*T1^7*T2^3 + 15*T1^8*T2^3 - 15*T1^9*T2^3 + 12*T2^4 + 15*T1*T2^4 - 
     109*T1^2*T2^4 + 99*T1^3*T2^4 + 371*T1^4*T2^4 - 533*T1^5*T2^4 + 
     371*T1^6*T2^4 + 99*T1^7*T2^4 - 109*T1^8*T2^4 + 15*T1^9*T2^4 + 
     12*T1^10*T2^4 - 5*T2^5 - 35*T1*T2^5 + 74*T1^2*T2^5 + 99*T1^3*T2^5 - 
     533*T1^4*T2^5 + 232*T1^5*T2^5 + 232*T1^6*T2^5 - 533*T1^7*T2^5 + 
     99*T1^8*T2^5 + 74*T1^9*T2^5 - 35*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 + 27*T1^2*T2^6 - 238*T1^3*T2^6 + 371*T1^4*T2^6 + 
     232*T1^5*T2^6 - 456*T1^6*T2^6 + 232*T1^7*T2^6 + 371*T1^8*T2^6 - 
     238*T1^9*T2^6 + 27*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     35*T1^2*T2^7 + 74*T1^3*T2^7 + 99*T1^4*T2^7 - 533*T1^5*T2^7 + 
     232*T1^6*T2^7 + 232*T1^7*T2^7 - 533*T1^8*T2^7 + 99*T1^9*T2^7 + 
     74*T1^10*T2^7 - 35*T1^11*T2^7 - 5*T1^12*T2^7 + 12*T1^2*T2^8 + 
     15*T1^3*T2^8 - 109*T1^4*T2^8 + 99*T1^5*T2^8 + 371*T1^6*T2^8 - 
     533*T1^7*T2^8 + 371*T1^8*T2^8 + 99*T1^9*T2^8 - 109*T1^10*T2^8 + 
     15*T1^11*T2^8 + 12*T1^12*T2^8 - 15*T1^3*T2^9 + 15*T1^4*T2^9 + 
     74*T1^5*T2^9 - 238*T1^6*T2^9 + 99*T1^7*T2^9 + 99*T1^8*T2^9 - 
     238*T1^9*T2^9 + 74*T1^10*T2^9 + 15*T1^11*T2^9 - 15*T1^12*T2^9 + 
     12*T1^4*T2^10 - 35*T1^5*T2^10 + 27*T1^6*T2^10 + 74*T1^7*T2^10 - 
     109*T1^8*T2^10 + 74*T1^9*T2^10 + 27*T1^10*T2^10 - 35*T1^11*T2^10 + 
     12*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 35*T1^7*T2^11 + 
     15*T1^8*T2^11 + 15*T1^9*T2^11 - 35*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 12*T1^8*T2^12 - 
     15*T1^9*T2^12 + 12*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[10, 164] -> {(3 - 11*T + 17*T^2 - 11*T^3 + 3*T^4)/T^2, 
   -((3 - 12*T1 + 19*T1^2 - 12*T1^3 + 3*T1^4 - 12*T2 + 34*T1*T2 - 
      28*T1^2*T2 - 28*T1^3*T2 + 34*T1^4*T2 - 12*T1^5*T2 + 19*T2^2 - 
      28*T1*T2^2 - 22*T1^2*T2^2 + 112*T1^3*T2^2 - 22*T1^4*T2^2 - 
      28*T1^5*T2^2 + 19*T1^6*T2^2 - 12*T2^3 - 28*T1*T2^3 + 112*T1^2*T2^3 - 
      126*T1^3*T2^3 - 126*T1^4*T2^3 + 112*T1^5*T2^3 - 28*T1^6*T2^3 - 
      12*T1^7*T2^3 + 3*T2^4 + 34*T1*T2^4 - 22*T1^2*T2^4 - 126*T1^3*T2^4 + 
      360*T1^4*T2^4 - 126*T1^5*T2^4 - 22*T1^6*T2^4 + 34*T1^7*T2^4 + 
      3*T1^8*T2^4 - 12*T1*T2^5 - 28*T1^2*T2^5 + 112*T1^3*T2^5 - 
      126*T1^4*T2^5 - 126*T1^5*T2^5 + 112*T1^6*T2^5 - 28*T1^7*T2^5 - 
      12*T1^8*T2^5 + 19*T1^2*T2^6 - 28*T1^3*T2^6 - 22*T1^4*T2^6 + 
      112*T1^5*T2^6 - 22*T1^6*T2^6 - 28*T1^7*T2^6 + 19*T1^8*T2^6 - 
      12*T1^3*T2^7 + 34*T1^4*T2^7 - 28*T1^5*T2^7 - 28*T1^6*T2^7 + 
      34*T1^7*T2^7 - 12*T1^8*T2^7 + 3*T1^4*T2^8 - 12*T1^5*T2^8 + 
      19*T1^6*T2^8 - 12*T1^7*T2^8 + 3*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[10, 165] -> {-((2 - 10*T + 15*T^2 - 10*T^3 + 2*T^4)/T^2), 
   -((9 - 44*T1 + 65*T1^2 - 44*T1^3 + 9*T1^4 - 44*T2 + 178*T1*T2 - 
      104*T1^2*T2 - 104*T1^3*T2 + 178*T1^4*T2 - 44*T1^5*T2 + 65*T2^2 - 
      104*T1*T2^2 - 607*T1^2*T2^2 + 1041*T1^3*T2^2 - 607*T1^4*T2^2 - 
      104*T1^5*T2^2 + 65*T1^6*T2^2 - 44*T2^3 - 104*T1*T2^3 + 1041*T1^2*T2^3 - 
      624*T1^3*T2^3 - 624*T1^4*T2^3 + 1041*T1^5*T2^3 - 104*T1^6*T2^3 - 
      44*T1^7*T2^3 + 9*T2^4 + 178*T1*T2^4 - 607*T1^2*T2^4 - 624*T1^3*T2^4 + 
      1404*T1^4*T2^4 - 624*T1^5*T2^4 - 607*T1^6*T2^4 + 178*T1^7*T2^4 + 
      9*T1^8*T2^4 - 44*T1*T2^5 - 104*T1^2*T2^5 + 1041*T1^3*T2^5 - 
      624*T1^4*T2^5 - 624*T1^5*T2^5 + 1041*T1^6*T2^5 - 104*T1^7*T2^5 - 
      44*T1^8*T2^5 + 65*T1^2*T2^6 - 104*T1^3*T2^6 - 607*T1^4*T2^6 + 
      1041*T1^5*T2^6 - 607*T1^6*T2^6 - 104*T1^7*T2^6 + 65*T1^8*T2^6 - 
      44*T1^3*T2^7 + 178*T1^4*T2^7 - 104*T1^5*T2^7 - 104*T1^6*T2^7 + 
      178*T1^7*T2^7 - 44*T1^8*T2^7 + 9*T1^4*T2^8 - 44*T1^5*T2^8 + 
      65*T1^6*T2^8 - 44*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[11, Alternating, 1] -> 
  {(2 - 12*T + 30*T^2 - 39*T^3 + 30*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (9 - 53*T1 + 130*T1^2 - 167*T1^3 + 130*T1^4 - 53*T1^5 + 9*T1^6 - 53*T2 + 
     260*T1*T2 - 457*T1^2*T2 + 221*T1^3*T2 + 221*T1^4*T2 - 457*T1^5*T2 + 
     260*T1^6*T2 - 53*T1^7*T2 + 130*T2^2 - 457*T1*T2^2 + 182*T1^2*T2^2 + 
     1320*T1^3*T2^2 - 2056*T1^4*T2^2 + 1320*T1^5*T2^2 + 182*T1^6*T2^2 - 
     457*T1^7*T2^2 + 130*T1^8*T2^2 - 167*T2^3 + 221*T1*T2^3 + 
     1320*T1^2*T2^3 - 3612*T1^3*T2^3 + 1798*T1^4*T2^3 + 1798*T1^5*T2^3 - 
     3612*T1^6*T2^3 + 1320*T1^7*T2^3 + 221*T1^8*T2^3 - 167*T1^9*T2^3 + 
     130*T2^4 + 221*T1*T2^4 - 2056*T1^2*T2^4 + 1798*T1^3*T2^4 + 
     4835*T1^4*T2^4 - 8079*T1^5*T2^4 + 4835*T1^6*T2^4 + 1798*T1^7*T2^4 - 
     2056*T1^8*T2^4 + 221*T1^9*T2^4 + 130*T1^10*T2^4 - 53*T2^5 - 
     457*T1*T2^5 + 1320*T1^2*T2^5 + 1798*T1^3*T2^5 - 8079*T1^4*T2^5 + 
     4162*T1^5*T2^5 + 4162*T1^6*T2^5 - 8079*T1^7*T2^5 + 1798*T1^8*T2^5 + 
     1320*T1^9*T2^5 - 457*T1^10*T2^5 - 53*T1^11*T2^5 + 9*T2^6 + 260*T1*T2^6 + 
     182*T1^2*T2^6 - 3612*T1^3*T2^6 + 4835*T1^4*T2^6 + 4162*T1^5*T2^6 - 
     8712*T1^6*T2^6 + 4162*T1^7*T2^6 + 4835*T1^8*T2^6 - 3612*T1^9*T2^6 + 
     182*T1^10*T2^6 + 260*T1^11*T2^6 + 9*T1^12*T2^6 - 53*T1*T2^7 - 
     457*T1^2*T2^7 + 1320*T1^3*T2^7 + 1798*T1^4*T2^7 - 8079*T1^5*T2^7 + 
     4162*T1^6*T2^7 + 4162*T1^7*T2^7 - 8079*T1^8*T2^7 + 1798*T1^9*T2^7 + 
     1320*T1^10*T2^7 - 457*T1^11*T2^7 - 53*T1^12*T2^7 + 130*T1^2*T2^8 + 
     221*T1^3*T2^8 - 2056*T1^4*T2^8 + 1798*T1^5*T2^8 + 4835*T1^6*T2^8 - 
     8079*T1^7*T2^8 + 4835*T1^8*T2^8 + 1798*T1^9*T2^8 - 2056*T1^10*T2^8 + 
     221*T1^11*T2^8 + 130*T1^12*T2^8 - 167*T1^3*T2^9 + 221*T1^4*T2^9 + 
     1320*T1^5*T2^9 - 3612*T1^6*T2^9 + 1798*T1^7*T2^9 + 1798*T1^8*T2^9 - 
     3612*T1^9*T2^9 + 1320*T1^10*T2^9 + 221*T1^11*T2^9 - 167*T1^12*T2^9 + 
     130*T1^4*T2^10 - 457*T1^5*T2^10 + 182*T1^6*T2^10 + 1320*T1^7*T2^10 - 
     2056*T1^8*T2^10 + 1320*T1^9*T2^10 + 182*T1^10*T2^10 - 457*T1^11*T2^10 + 
     130*T1^12*T2^10 - 53*T1^5*T2^11 + 260*T1^6*T2^11 - 457*T1^7*T2^11 + 
     221*T1^8*T2^11 + 221*T1^9*T2^11 - 457*T1^10*T2^11 + 260*T1^11*T2^11 - 
     53*T1^12*T2^11 + 9*T1^6*T2^12 - 53*T1^7*T2^12 + 130*T1^8*T2^12 - 
     167*T1^9*T2^12 + 130*T1^10*T2^12 - 53*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 2] -> 
  {-((3 - 15*T + 31*T^2 - 39*T^3 + 31*T^4 - 15*T^5 + 3*T^6)/T^3), 
   -((57 - 279*T1 + 565*T1^2 - 707*T1^3 + 565*T1^4 - 279*T1^5 + 57*T1^6 - 
      279*T2 + 1094*T1*T2 - 1423*T1^2*T2 + 709*T1^3*T2 + 709*T1^4*T2 - 
      1423*T1^5*T2 + 1094*T1^6*T2 - 279*T1^7*T2 + 565*T2^2 - 1423*T1*T2^2 - 
      488*T1^2*T2^2 + 3903*T1^3*T2^2 - 5986*T1^4*T2^2 + 3903*T1^5*T2^2 - 
      488*T1^6*T2^2 - 1423*T1^7*T2^2 + 565*T1^8*T2^2 - 707*T2^3 + 
      709*T1*T2^3 + 3903*T1^2*T2^3 - 6450*T1^3*T2^3 + 3706*T1^4*T2^3 + 
      3706*T1^5*T2^3 - 6450*T1^6*T2^3 + 3903*T1^7*T2^3 + 709*T1^8*T2^3 - 
      707*T1^9*T2^3 + 565*T2^4 + 709*T1*T2^4 - 5986*T1^2*T2^4 + 
      3706*T1^3*T2^4 + 3203*T1^4*T2^4 - 8767*T1^5*T2^4 + 3203*T1^6*T2^4 + 
      3706*T1^7*T2^4 - 5986*T1^8*T2^4 + 709*T1^9*T2^4 + 565*T1^10*T2^4 - 
      279*T2^5 - 1423*T1*T2^5 + 3903*T1^2*T2^5 + 3706*T1^3*T2^5 - 
      8767*T1^4*T2^5 + 5982*T1^5*T2^5 + 5982*T1^6*T2^5 - 8767*T1^7*T2^5 + 
      3706*T1^8*T2^5 + 3903*T1^9*T2^5 - 1423*T1^10*T2^5 - 279*T1^11*T2^5 + 
      57*T2^6 + 1094*T1*T2^6 - 488*T1^2*T2^6 - 6450*T1^3*T2^6 + 
      3203*T1^4*T2^6 + 5982*T1^5*T2^6 - 13800*T1^6*T2^6 + 5982*T1^7*T2^6 + 
      3203*T1^8*T2^6 - 6450*T1^9*T2^6 - 488*T1^10*T2^6 + 1094*T1^11*T2^6 + 
      57*T1^12*T2^6 - 279*T1*T2^7 - 1423*T1^2*T2^7 + 3903*T1^3*T2^7 + 
      3706*T1^4*T2^7 - 8767*T1^5*T2^7 + 5982*T1^6*T2^7 + 5982*T1^7*T2^7 - 
      8767*T1^8*T2^7 + 3706*T1^9*T2^7 + 3903*T1^10*T2^7 - 1423*T1^11*T2^7 - 
      279*T1^12*T2^7 + 565*T1^2*T2^8 + 709*T1^3*T2^8 - 5986*T1^4*T2^8 + 
      3706*T1^5*T2^8 + 3203*T1^6*T2^8 - 8767*T1^7*T2^8 + 3203*T1^8*T2^8 + 
      3706*T1^9*T2^8 - 5986*T1^10*T2^8 + 709*T1^11*T2^8 + 565*T1^12*T2^8 - 
      707*T1^3*T2^9 + 709*T1^4*T2^9 + 3903*T1^5*T2^9 - 6450*T1^6*T2^9 + 
      3706*T1^7*T2^9 + 3706*T1^8*T2^9 - 6450*T1^9*T2^9 + 3903*T1^10*T2^9 + 
      709*T1^11*T2^9 - 707*T1^12*T2^9 + 565*T1^4*T2^10 - 1423*T1^5*T2^10 - 
      488*T1^6*T2^10 + 3903*T1^7*T2^10 - 5986*T1^8*T2^10 + 3903*T1^9*T2^10 - 
      488*T1^10*T2^10 - 1423*T1^11*T2^10 + 565*T1^12*T2^10 - 279*T1^5*T2^11 + 
      1094*T1^6*T2^11 - 1423*T1^7*T2^11 + 709*T1^8*T2^11 + 709*T1^9*T2^11 - 
      1423*T1^10*T2^11 + 1094*T1^11*T2^11 - 279*T1^12*T2^11 + 57*T1^6*T2^12 - 
      279*T1^7*T2^12 + 565*T1^8*T2^12 - 707*T1^9*T2^12 + 565*T1^10*T2^12 - 
      279*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), (1 - 5*T1 + 13*T1^2 - 24*T1^3 + 29*T1^4 - 24*T1^5 + 13*T1^6 - 
     5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 40*T1^2*T2 + 55*T1^3*T2 - 25*T1^4*T2 - 
     25*T1^5*T2 + 55*T1^6*T2 - 40*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
     13*T2^2 - 40*T1*T2^2 + 56*T1^2*T2^2 - 47*T1^3*T2^2 - 72*T1^4*T2^2 + 
     128*T1^5*T2^2 - 72*T1^6*T2^2 - 47*T1^7*T2^2 + 56*T1^8*T2^2 - 
     40*T1^9*T2^2 + 13*T1^10*T2^2 - 24*T2^3 + 55*T1*T2^3 - 47*T1^2*T2^3 + 
     12*T1^3*T2^3 + 196*T1^4*T2^3 - 102*T1^5*T2^3 - 102*T1^6*T2^3 + 
     196*T1^7*T2^3 + 12*T1^8*T2^3 - 47*T1^9*T2^3 + 55*T1^10*T2^3 - 
     24*T1^11*T2^3 + 29*T2^4 - 25*T1*T2^4 - 72*T1^2*T2^4 + 196*T1^3*T2^4 - 
     518*T1^4*T2^4 + 142*T1^5*T2^4 + 44*T1^6*T2^4 + 142*T1^7*T2^4 - 
     518*T1^8*T2^4 + 196*T1^9*T2^4 - 72*T1^10*T2^4 - 25*T1^11*T2^4 + 
     29*T1^12*T2^4 - 24*T2^5 - 25*T1*T2^5 + 128*T1^2*T2^5 - 102*T1^3*T2^5 + 
     142*T1^4*T2^5 + 706*T1^5*T2^5 - 391*T1^6*T2^5 - 391*T1^7*T2^5 + 
     706*T1^8*T2^5 + 142*T1^9*T2^5 - 102*T1^10*T2^5 + 128*T1^11*T2^5 - 
     25*T1^12*T2^5 - 24*T1^13*T2^5 + 13*T2^6 + 55*T1*T2^6 - 72*T1^2*T2^6 - 
     102*T1^3*T2^6 + 44*T1^4*T2^6 - 391*T1^5*T2^6 - 1274*T1^6*T2^6 + 
     2118*T1^7*T2^6 - 1274*T1^8*T2^6 - 391*T1^9*T2^6 + 44*T1^10*T2^6 - 
     102*T1^11*T2^6 - 72*T1^12*T2^6 + 55*T1^13*T2^6 + 13*T1^14*T2^6 - 
     5*T2^7 - 40*T1*T2^7 - 47*T1^2*T2^7 + 196*T1^3*T2^7 + 142*T1^4*T2^7 - 
     391*T1^5*T2^7 + 2118*T1^6*T2^7 - 1122*T1^7*T2^7 - 1122*T1^8*T2^7 + 
     2118*T1^9*T2^7 - 391*T1^10*T2^7 + 142*T1^11*T2^7 + 196*T1^12*T2^7 - 
     47*T1^13*T2^7 - 40*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 
     56*T1^2*T2^8 + 12*T1^3*T2^8 - 518*T1^4*T2^8 + 706*T1^5*T2^8 - 
     1274*T1^6*T2^8 - 1122*T1^7*T2^8 + 2400*T1^8*T2^8 - 1122*T1^9*T2^8 - 
     1274*T1^10*T2^8 + 706*T1^11*T2^8 - 518*T1^12*T2^8 + 12*T1^13*T2^8 + 
     56*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 40*T1^2*T2^9 - 
     47*T1^3*T2^9 + 196*T1^4*T2^9 + 142*T1^5*T2^9 - 391*T1^6*T2^9 + 
     2118*T1^7*T2^9 - 1122*T1^8*T2^9 - 1122*T1^9*T2^9 + 2118*T1^10*T2^9 - 
     391*T1^11*T2^9 + 142*T1^12*T2^9 + 196*T1^13*T2^9 - 47*T1^14*T2^9 - 
     40*T1^15*T2^9 - 5*T1^16*T2^9 + 13*T1^2*T2^10 + 55*T1^3*T2^10 - 
     72*T1^4*T2^10 - 102*T1^5*T2^10 + 44*T1^6*T2^10 - 391*T1^7*T2^10 - 
     1274*T1^8*T2^10 + 2118*T1^9*T2^10 - 1274*T1^10*T2^10 - 391*T1^11*T2^10 + 
     44*T1^12*T2^10 - 102*T1^13*T2^10 - 72*T1^14*T2^10 + 55*T1^15*T2^10 + 
     13*T1^16*T2^10 - 24*T1^3*T2^11 - 25*T1^4*T2^11 + 128*T1^5*T2^11 - 
     102*T1^6*T2^11 + 142*T1^7*T2^11 + 706*T1^8*T2^11 - 391*T1^9*T2^11 - 
     391*T1^10*T2^11 + 706*T1^11*T2^11 + 142*T1^12*T2^11 - 102*T1^13*T2^11 + 
     128*T1^14*T2^11 - 25*T1^15*T2^11 - 24*T1^16*T2^11 + 29*T1^4*T2^12 - 
     25*T1^5*T2^12 - 72*T1^6*T2^12 + 196*T1^7*T2^12 - 518*T1^8*T2^12 + 
     142*T1^9*T2^12 + 44*T1^10*T2^12 + 142*T1^11*T2^12 - 518*T1^12*T2^12 + 
     196*T1^13*T2^12 - 72*T1^14*T2^12 - 25*T1^15*T2^12 + 29*T1^16*T2^12 - 
     24*T1^5*T2^13 + 55*T1^6*T2^13 - 47*T1^7*T2^13 + 12*T1^8*T2^13 + 
     196*T1^9*T2^13 - 102*T1^10*T2^13 - 102*T1^11*T2^13 + 196*T1^12*T2^13 + 
     12*T1^13*T2^13 - 47*T1^14*T2^13 + 55*T1^15*T2^13 - 24*T1^16*T2^13 + 
     13*T1^6*T2^14 - 40*T1^7*T2^14 + 56*T1^8*T2^14 - 47*T1^9*T2^14 - 
     72*T1^10*T2^14 + 128*T1^11*T2^14 - 72*T1^12*T2^14 - 47*T1^13*T2^14 + 
     56*T1^14*T2^14 - 40*T1^15*T2^14 + 13*T1^16*T2^14 - 5*T1^7*T2^15 + 
     20*T1^8*T2^15 - 40*T1^9*T2^15 + 55*T1^10*T2^15 - 25*T1^11*T2^15 - 
     25*T1^12*T2^15 + 55*T1^13*T2^15 - 40*T1^14*T2^15 + 20*T1^15*T2^15 - 
     5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 13*T1^10*T2^16 - 
     24*T1^11*T2^16 + 29*T1^12*T2^16 - 24*T1^13*T2^16 + 13*T1^14*T2^16 - 
     5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 4] -> 
  {-((2 - 10*T + 22*T^2 - 29*T^3 + 22*T^4 - 10*T^5 + 2*T^6)/T^3), 
   (1 - 5*T1 + 12*T1^2 - 17*T1^3 + 12*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 35*T1^2*T2 + 25*T1^3*T2 + 25*T1^4*T2 - 35*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 12*T2^2 - 35*T1*T2^2 + 33*T1^2*T2^2 + 
     15*T1^3*T2^2 - 107*T1^4*T2^2 + 15*T1^5*T2^2 + 33*T1^6*T2^2 - 
     35*T1^7*T2^2 + 12*T1^8*T2^2 - 17*T2^3 + 25*T1*T2^3 + 15*T1^2*T2^3 - 
     40*T1^3*T2^3 + 124*T1^4*T2^3 + 124*T1^5*T2^3 - 40*T1^6*T2^3 + 
     15*T1^7*T2^3 + 25*T1^8*T2^3 - 17*T1^9*T2^3 + 12*T2^4 + 25*T1*T2^4 - 
     107*T1^2*T2^4 + 124*T1^3*T2^4 - 349*T1^4*T2^4 + 47*T1^5*T2^4 - 
     349*T1^6*T2^4 + 124*T1^7*T2^4 - 107*T1^8*T2^4 + 25*T1^9*T2^4 + 
     12*T1^10*T2^4 - 5*T2^5 - 35*T1*T2^5 + 15*T1^2*T2^5 + 124*T1^3*T2^5 + 
     47*T1^4*T2^5 + 324*T1^5*T2^5 + 324*T1^6*T2^5 + 47*T1^7*T2^5 + 
     124*T1^8*T2^5 + 15*T1^9*T2^5 - 35*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 + 33*T1^2*T2^6 - 40*T1^3*T2^6 - 349*T1^4*T2^6 + 
     324*T1^5*T2^6 - 1104*T1^6*T2^6 + 324*T1^7*T2^6 - 349*T1^8*T2^6 - 
     40*T1^9*T2^6 + 33*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     35*T1^2*T2^7 + 15*T1^3*T2^7 + 124*T1^4*T2^7 + 47*T1^5*T2^7 + 
     324*T1^6*T2^7 + 324*T1^7*T2^7 + 47*T1^8*T2^7 + 124*T1^9*T2^7 + 
     15*T1^10*T2^7 - 35*T1^11*T2^7 - 5*T1^12*T2^7 + 12*T1^2*T2^8 + 
     25*T1^3*T2^8 - 107*T1^4*T2^8 + 124*T1^5*T2^8 - 349*T1^6*T2^8 + 
     47*T1^7*T2^8 - 349*T1^8*T2^8 + 124*T1^9*T2^8 - 107*T1^10*T2^8 + 
     25*T1^11*T2^8 + 12*T1^12*T2^8 - 17*T1^3*T2^9 + 25*T1^4*T2^9 + 
     15*T1^5*T2^9 - 40*T1^6*T2^9 + 124*T1^7*T2^9 + 124*T1^8*T2^9 - 
     40*T1^9*T2^9 + 15*T1^10*T2^9 + 25*T1^11*T2^9 - 17*T1^12*T2^9 + 
     12*T1^4*T2^10 - 35*T1^5*T2^10 + 33*T1^6*T2^10 + 15*T1^7*T2^10 - 
     107*T1^8*T2^10 + 15*T1^9*T2^10 + 33*T1^10*T2^10 - 35*T1^11*T2^10 + 
     12*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 35*T1^7*T2^11 + 
     25*T1^8*T2^11 + 25*T1^9*T2^11 - 35*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 12*T1^8*T2^12 - 
     17*T1^9*T2^12 + 12*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 5] -> {-((1 - 3*T + T^2)^3/T^3), 
   (-2*(1 - 3*T1 + T1^2)*(1 - 3*T2 + T2^2)*(1 - 3*T1*T2 + T1^2*T2^2)*
     (3 - 8*T1 + 3*T1^2 - 8*T2 + 13*T1*T2 + 13*T1^2*T2 - 8*T1^3*T2 + 3*T2^2 + 
      13*T1*T2^2 - 48*T1^2*T2^2 + 13*T1^3*T2^2 + 3*T1^4*T2^2 - 8*T1*T2^3 + 
      13*T1^2*T2^3 + 13*T1^3*T2^3 - 8*T1^4*T2^3 + 3*T1^2*T2^4 - 8*T1^3*T2^4 + 
      3*T1^4*T2^4))/(T1^4*T2^4)}, Knot[11, Alternating, 6] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 3*T + T^2)*(1 - T + T^2))/T^3, 
   (9 - 57*T1 + 136*T1^2 - 171*T1^3 + 136*T1^4 - 57*T1^5 + 9*T1^6 - 57*T2 + 
     306*T1*T2 - 509*T1^2*T2 + 229*T1^3*T2 + 229*T1^4*T2 - 509*T1^5*T2 + 
     306*T1^6*T2 - 57*T1^7*T2 + 136*T2^2 - 509*T1*T2^2 - 61*T1^2*T2^2 + 
     2004*T1^3*T2^2 - 2809*T1^4*T2^2 + 2004*T1^5*T2^2 - 61*T1^6*T2^2 - 
     509*T1^7*T2^2 + 136*T1^8*T2^2 - 171*T2^3 + 229*T1*T2^3 + 
     2004*T1^2*T2^3 - 4640*T1^3*T2^3 + 2068*T1^4*T2^3 + 2068*T1^5*T2^3 - 
     4640*T1^6*T2^3 + 2004*T1^7*T2^3 + 229*T1^8*T2^3 - 171*T1^9*T2^3 + 
     136*T2^4 + 229*T1*T2^4 - 2809*T1^2*T2^4 + 2068*T1^3*T2^4 + 
     6041*T1^4*T2^4 - 9253*T1^5*T2^4 + 6041*T1^6*T2^4 + 2068*T1^7*T2^4 - 
     2809*T1^8*T2^4 + 229*T1^9*T2^4 + 136*T1^10*T2^4 - 57*T2^5 - 
     509*T1*T2^5 + 2004*T1^2*T2^5 + 2068*T1^3*T2^5 - 9253*T1^4*T2^5 + 
     4218*T1^5*T2^5 + 4218*T1^6*T2^5 - 9253*T1^7*T2^5 + 2068*T1^8*T2^5 + 
     2004*T1^9*T2^5 - 509*T1^10*T2^5 - 57*T1^11*T2^5 + 9*T2^6 + 306*T1*T2^6 - 
     61*T1^2*T2^6 - 4640*T1^3*T2^6 + 6041*T1^4*T2^6 + 4218*T1^5*T2^6 - 
     8292*T1^6*T2^6 + 4218*T1^7*T2^6 + 6041*T1^8*T2^6 - 4640*T1^9*T2^6 - 
     61*T1^10*T2^6 + 306*T1^11*T2^6 + 9*T1^12*T2^6 - 57*T1*T2^7 - 
     509*T1^2*T2^7 + 2004*T1^3*T2^7 + 2068*T1^4*T2^7 - 9253*T1^5*T2^7 + 
     4218*T1^6*T2^7 + 4218*T1^7*T2^7 - 9253*T1^8*T2^7 + 2068*T1^9*T2^7 + 
     2004*T1^10*T2^7 - 509*T1^11*T2^7 - 57*T1^12*T2^7 + 136*T1^2*T2^8 + 
     229*T1^3*T2^8 - 2809*T1^4*T2^8 + 2068*T1^5*T2^8 + 6041*T1^6*T2^8 - 
     9253*T1^7*T2^8 + 6041*T1^8*T2^8 + 2068*T1^9*T2^8 - 2809*T1^10*T2^8 + 
     229*T1^11*T2^8 + 136*T1^12*T2^8 - 171*T1^3*T2^9 + 229*T1^4*T2^9 + 
     2004*T1^5*T2^9 - 4640*T1^6*T2^9 + 2068*T1^7*T2^9 + 2068*T1^8*T2^9 - 
     4640*T1^9*T2^9 + 2004*T1^10*T2^9 + 229*T1^11*T2^9 - 171*T1^12*T2^9 + 
     136*T1^4*T2^10 - 509*T1^5*T2^10 - 61*T1^6*T2^10 + 2004*T1^7*T2^10 - 
     2809*T1^8*T2^10 + 2004*T1^9*T2^10 - 61*T1^10*T2^10 - 509*T1^11*T2^10 + 
     136*T1^12*T2^10 - 57*T1^5*T2^11 + 306*T1^6*T2^11 - 509*T1^7*T2^11 + 
     229*T1^8*T2^11 + 229*T1^9*T2^11 - 509*T1^10*T2^11 + 306*T1^11*T2^11 - 
     57*T1^12*T2^11 + 9*T1^6*T2^12 - 57*T1^7*T2^12 + 136*T1^8*T2^12 - 
     171*T1^9*T2^12 + 136*T1^10*T2^12 - 57*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, 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), (1 - 5*T1 + 12*T1^2 - 19*T1^3 + 21*T1^4 - 19*T1^5 + 12*T1^6 - 
     5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 35*T1^2*T2 + 35*T1^3*T2 - 10*T1^4*T2 - 
     10*T1^5*T2 + 35*T1^6*T2 - 35*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
     12*T2^2 - 35*T1*T2^2 + 31*T1^2*T2^2 + 13*T1^3*T2^2 - 88*T1^4*T2^2 + 
     83*T1^5*T2^2 - 88*T1^6*T2^2 + 13*T1^7*T2^2 + 31*T1^8*T2^2 - 
     35*T1^9*T2^2 + 12*T1^10*T2^2 - 19*T2^3 + 35*T1*T2^3 + 13*T1^2*T2^3 - 
     86*T1^3*T2^3 + 153*T1^4*T2^3 - 12*T1^5*T2^3 - 12*T1^6*T2^3 + 
     153*T1^7*T2^3 - 86*T1^8*T2^3 + 13*T1^9*T2^3 + 35*T1^10*T2^3 - 
     19*T1^11*T2^3 + 21*T2^4 - 10*T1*T2^4 - 88*T1^2*T2^4 + 153*T1^3*T2^4 - 
     172*T1^4*T2^4 - 103*T1^5*T2^4 + 10*T1^6*T2^4 - 103*T1^7*T2^4 - 
     172*T1^8*T2^4 + 153*T1^9*T2^4 - 88*T1^10*T2^4 - 10*T1^11*T2^4 + 
     21*T1^12*T2^4 - 19*T2^5 - 10*T1*T2^5 + 83*T1^2*T2^5 - 12*T1^3*T2^5 - 
     103*T1^4*T2^5 + 422*T1^5*T2^5 - 28*T1^6*T2^5 - 28*T1^7*T2^5 + 
     422*T1^8*T2^5 - 103*T1^9*T2^5 - 12*T1^10*T2^5 + 83*T1^11*T2^5 - 
     10*T1^12*T2^5 - 19*T1^13*T2^5 + 12*T2^6 + 35*T1*T2^6 - 88*T1^2*T2^6 - 
     12*T1^3*T2^6 + 10*T1^4*T2^6 - 28*T1^5*T2^6 - 741*T1^6*T2^6 + 
     715*T1^7*T2^6 - 741*T1^8*T2^6 - 28*T1^9*T2^6 + 10*T1^10*T2^6 - 
     12*T1^11*T2^6 - 88*T1^12*T2^6 + 35*T1^13*T2^6 + 12*T1^14*T2^6 - 5*T2^7 - 
     35*T1*T2^7 + 13*T1^2*T2^7 + 153*T1^3*T2^7 - 103*T1^4*T2^7 - 
     28*T1^5*T2^7 + 715*T1^6*T2^7 - 182*T1^7*T2^7 - 182*T1^8*T2^7 + 
     715*T1^9*T2^7 - 28*T1^10*T2^7 - 103*T1^11*T2^7 + 153*T1^12*T2^7 + 
     13*T1^13*T2^7 - 35*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 
     31*T1^2*T2^8 - 86*T1^3*T2^8 - 172*T1^4*T2^8 + 422*T1^5*T2^8 - 
     741*T1^6*T2^8 - 182*T1^7*T2^8 + 312*T1^8*T2^8 - 182*T1^9*T2^8 - 
     741*T1^10*T2^8 + 422*T1^11*T2^8 - 172*T1^12*T2^8 - 86*T1^13*T2^8 + 
     31*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 35*T1^2*T2^9 + 
     13*T1^3*T2^9 + 153*T1^4*T2^9 - 103*T1^5*T2^9 - 28*T1^6*T2^9 + 
     715*T1^7*T2^9 - 182*T1^8*T2^9 - 182*T1^9*T2^9 + 715*T1^10*T2^9 - 
     28*T1^11*T2^9 - 103*T1^12*T2^9 + 153*T1^13*T2^9 + 13*T1^14*T2^9 - 
     35*T1^15*T2^9 - 5*T1^16*T2^9 + 12*T1^2*T2^10 + 35*T1^3*T2^10 - 
     88*T1^4*T2^10 - 12*T1^5*T2^10 + 10*T1^6*T2^10 - 28*T1^7*T2^10 - 
     741*T1^8*T2^10 + 715*T1^9*T2^10 - 741*T1^10*T2^10 - 28*T1^11*T2^10 + 
     10*T1^12*T2^10 - 12*T1^13*T2^10 - 88*T1^14*T2^10 + 35*T1^15*T2^10 + 
     12*T1^16*T2^10 - 19*T1^3*T2^11 - 10*T1^4*T2^11 + 83*T1^5*T2^11 - 
     12*T1^6*T2^11 - 103*T1^7*T2^11 + 422*T1^8*T2^11 - 28*T1^9*T2^11 - 
     28*T1^10*T2^11 + 422*T1^11*T2^11 - 103*T1^12*T2^11 - 12*T1^13*T2^11 + 
     83*T1^14*T2^11 - 10*T1^15*T2^11 - 19*T1^16*T2^11 + 21*T1^4*T2^12 - 
     10*T1^5*T2^12 - 88*T1^6*T2^12 + 153*T1^7*T2^12 - 172*T1^8*T2^12 - 
     103*T1^9*T2^12 + 10*T1^10*T2^12 - 103*T1^11*T2^12 - 172*T1^12*T2^12 + 
     153*T1^13*T2^12 - 88*T1^14*T2^12 - 10*T1^15*T2^12 + 21*T1^16*T2^12 - 
     19*T1^5*T2^13 + 35*T1^6*T2^13 + 13*T1^7*T2^13 - 86*T1^8*T2^13 + 
     153*T1^9*T2^13 - 12*T1^10*T2^13 - 12*T1^11*T2^13 + 153*T1^12*T2^13 - 
     86*T1^13*T2^13 + 13*T1^14*T2^13 + 35*T1^15*T2^13 - 19*T1^16*T2^13 + 
     12*T1^6*T2^14 - 35*T1^7*T2^14 + 31*T1^8*T2^14 + 13*T1^9*T2^14 - 
     88*T1^10*T2^14 + 83*T1^11*T2^14 - 88*T1^12*T2^14 + 13*T1^13*T2^14 + 
     31*T1^14*T2^14 - 35*T1^15*T2^14 + 12*T1^16*T2^14 - 5*T1^7*T2^15 + 
     20*T1^8*T2^15 - 35*T1^9*T2^15 + 35*T1^10*T2^15 - 10*T1^11*T2^15 - 
     10*T1^12*T2^15 + 35*T1^13*T2^15 - 35*T1^14*T2^15 + 20*T1^15*T2^15 - 
     5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 12*T1^10*T2^16 - 
     19*T1^11*T2^16 + 21*T1^12*T2^16 - 19*T1^13*T2^16 + 12*T1^14*T2^16 - 
     5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 8] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3), 
   (1 - 5*T1 + 12*T1^2 - 17*T1^3 + 12*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 35*T1^2*T2 + 25*T1^3*T2 + 25*T1^4*T2 - 35*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 12*T2^2 - 35*T1*T2^2 + 37*T1^2*T2^2 + 
     10*T1^3*T2^2 - 109*T1^4*T2^2 + 10*T1^5*T2^2 + 37*T1^6*T2^2 - 
     35*T1^7*T2^2 + 12*T1^8*T2^2 - 17*T2^3 + 25*T1*T2^3 + 10*T1^2*T2^3 - 
     68*T1^3*T2^3 + 175*T1^4*T2^3 + 175*T1^5*T2^3 - 68*T1^6*T2^3 + 
     10*T1^7*T2^3 + 25*T1^8*T2^3 - 17*T1^9*T2^3 + 12*T2^4 + 25*T1*T2^4 - 
     109*T1^2*T2^4 + 175*T1^3*T2^4 - 238*T1^4*T2^4 - 408*T1^5*T2^4 - 
     238*T1^6*T2^4 + 175*T1^7*T2^4 - 109*T1^8*T2^4 + 25*T1^9*T2^4 + 
     12*T1^10*T2^4 - 5*T2^5 - 35*T1*T2^5 + 10*T1^2*T2^5 + 175*T1^3*T2^5 - 
     408*T1^4*T2^5 + 874*T1^5*T2^5 + 874*T1^6*T2^5 - 408*T1^7*T2^5 + 
     175*T1^8*T2^5 + 10*T1^9*T2^5 - 35*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 + 37*T1^2*T2^6 - 68*T1^3*T2^6 - 238*T1^4*T2^6 + 
     874*T1^5*T2^6 - 2736*T1^6*T2^6 + 874*T1^7*T2^6 - 238*T1^8*T2^6 - 
     68*T1^9*T2^6 + 37*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     35*T1^2*T2^7 + 10*T1^3*T2^7 + 175*T1^4*T2^7 - 408*T1^5*T2^7 + 
     874*T1^6*T2^7 + 874*T1^7*T2^7 - 408*T1^8*T2^7 + 175*T1^9*T2^7 + 
     10*T1^10*T2^7 - 35*T1^11*T2^7 - 5*T1^12*T2^7 + 12*T1^2*T2^8 + 
     25*T1^3*T2^8 - 109*T1^4*T2^8 + 175*T1^5*T2^8 - 238*T1^6*T2^8 - 
     408*T1^7*T2^8 - 238*T1^8*T2^8 + 175*T1^9*T2^8 - 109*T1^10*T2^8 + 
     25*T1^11*T2^8 + 12*T1^12*T2^8 - 17*T1^3*T2^9 + 25*T1^4*T2^9 + 
     10*T1^5*T2^9 - 68*T1^6*T2^9 + 175*T1^7*T2^9 + 175*T1^8*T2^9 - 
     68*T1^9*T2^9 + 10*T1^10*T2^9 + 25*T1^11*T2^9 - 17*T1^12*T2^9 + 
     12*T1^4*T2^10 - 35*T1^5*T2^10 + 37*T1^6*T2^10 + 10*T1^7*T2^10 - 
     109*T1^8*T2^10 + 10*T1^9*T2^10 + 37*T1^10*T2^10 - 35*T1^11*T2^10 + 
     12*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 35*T1^7*T2^11 + 
     25*T1^8*T2^11 + 25*T1^9*T2^11 - 35*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 12*T1^8*T2^12 - 
     17*T1^9*T2^12 + 12*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   (2 - 10*T1 + 20*T1^2 - 22*T1^3 + 22*T1^4 - 22*T1^5 + 20*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 50*T1^2*T2 + 10*T1^3*T2 + 10*T1^6*T2 - 
     50*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 20*T2^2 - 50*T1*T2^2 - 
     30*T1^2*T2^2 + 181*T1^3*T2^2 - 137*T1^4*T2^2 + 118*T1^5*T2^2 - 
     137*T1^6*T2^2 + 181*T1^7*T2^2 - 30*T1^8*T2^2 - 50*T1^9*T2^2 + 
     20*T1^10*T2^2 - 22*T2^3 + 10*T1*T2^3 + 181*T1^2*T2^3 - 288*T1^3*T2^3 - 
     6*T1^4*T2^3 + 17*T1^5*T2^3 + 17*T1^6*T2^3 - 6*T1^7*T2^3 - 
     288*T1^8*T2^3 + 181*T1^9*T2^3 + 10*T1^10*T2^3 - 22*T1^11*T2^3 + 
     22*T2^4 - 137*T1^2*T2^4 - 6*T1^3*T2^4 + 475*T1^4*T2^4 - 295*T1^5*T2^4 + 
     253*T1^6*T2^4 - 295*T1^7*T2^4 + 475*T1^8*T2^4 - 6*T1^9*T2^4 - 
     137*T1^10*T2^4 + 22*T1^12*T2^4 - 22*T2^5 + 118*T1^2*T2^5 + 
     17*T1^3*T2^5 - 295*T1^4*T2^5 - 90*T1^5*T2^5 + 26*T1^6*T2^5 + 
     26*T1^7*T2^5 - 90*T1^8*T2^5 - 295*T1^9*T2^5 + 17*T1^10*T2^5 + 
     118*T1^11*T2^5 - 22*T1^13*T2^5 + 20*T2^6 + 10*T1*T2^6 - 137*T1^2*T2^6 + 
     17*T1^3*T2^6 + 253*T1^4*T2^6 + 26*T1^5*T2^6 + 180*T1^6*T2^6 - 
     182*T1^7*T2^6 + 180*T1^8*T2^6 + 26*T1^9*T2^6 + 253*T1^10*T2^6 + 
     17*T1^11*T2^6 - 137*T1^12*T2^6 + 10*T1^13*T2^6 + 20*T1^14*T2^6 - 
     10*T2^7 - 50*T1*T2^7 + 181*T1^2*T2^7 - 6*T1^3*T2^7 - 295*T1^4*T2^7 + 
     26*T1^5*T2^7 - 182*T1^6*T2^7 + 50*T1^7*T2^7 + 50*T1^8*T2^7 - 
     182*T1^9*T2^7 + 26*T1^10*T2^7 - 295*T1^11*T2^7 - 6*T1^12*T2^7 + 
     181*T1^13*T2^7 - 50*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 - 
     30*T1^2*T2^8 - 288*T1^3*T2^8 + 475*T1^4*T2^8 - 90*T1^5*T2^8 + 
     180*T1^6*T2^8 + 50*T1^7*T2^8 - 108*T1^8*T2^8 + 50*T1^9*T2^8 + 
     180*T1^10*T2^8 - 90*T1^11*T2^8 + 475*T1^12*T2^8 - 288*T1^13*T2^8 - 
     30*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     50*T1^2*T2^9 + 181*T1^3*T2^9 - 6*T1^4*T2^9 - 295*T1^5*T2^9 + 
     26*T1^6*T2^9 - 182*T1^7*T2^9 + 50*T1^8*T2^9 + 50*T1^9*T2^9 - 
     182*T1^10*T2^9 + 26*T1^11*T2^9 - 295*T1^12*T2^9 - 6*T1^13*T2^9 + 
     181*T1^14*T2^9 - 50*T1^15*T2^9 - 10*T1^16*T2^9 + 20*T1^2*T2^10 + 
     10*T1^3*T2^10 - 137*T1^4*T2^10 + 17*T1^5*T2^10 + 253*T1^6*T2^10 + 
     26*T1^7*T2^10 + 180*T1^8*T2^10 - 182*T1^9*T2^10 + 180*T1^10*T2^10 + 
     26*T1^11*T2^10 + 253*T1^12*T2^10 + 17*T1^13*T2^10 - 137*T1^14*T2^10 + 
     10*T1^15*T2^10 + 20*T1^16*T2^10 - 22*T1^3*T2^11 + 118*T1^5*T2^11 + 
     17*T1^6*T2^11 - 295*T1^7*T2^11 - 90*T1^8*T2^11 + 26*T1^9*T2^11 + 
     26*T1^10*T2^11 - 90*T1^11*T2^11 - 295*T1^12*T2^11 + 17*T1^13*T2^11 + 
     118*T1^14*T2^11 - 22*T1^16*T2^11 + 22*T1^4*T2^12 - 137*T1^6*T2^12 - 
     6*T1^7*T2^12 + 475*T1^8*T2^12 - 295*T1^9*T2^12 + 253*T1^10*T2^12 - 
     295*T1^11*T2^12 + 475*T1^12*T2^12 - 6*T1^13*T2^12 - 137*T1^14*T2^12 + 
     22*T1^16*T2^12 - 22*T1^5*T2^13 + 10*T1^6*T2^13 + 181*T1^7*T2^13 - 
     288*T1^8*T2^13 - 6*T1^9*T2^13 + 17*T1^10*T2^13 + 17*T1^11*T2^13 - 
     6*T1^12*T2^13 - 288*T1^13*T2^13 + 181*T1^14*T2^13 + 10*T1^15*T2^13 - 
     22*T1^16*T2^13 + 20*T1^6*T2^14 - 50*T1^7*T2^14 - 30*T1^8*T2^14 + 
     181*T1^9*T2^14 - 137*T1^10*T2^14 + 118*T1^11*T2^14 - 137*T1^12*T2^14 + 
     181*T1^13*T2^14 - 30*T1^14*T2^14 - 50*T1^15*T2^14 + 20*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 50*T1^9*T2^15 + 10*T1^10*T2^15 + 
     10*T1^13*T2^15 - 50*T1^14*T2^15 + 40*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)/(T1^8*T2^8)}, Knot[11, Alternating, 10] -> 
  {(2 - 11*T + 25*T^2 - 31*T^3 + 25*T^4 - 11*T^5 + 2*T^6)/T^3, 
   (9 - 49*T1 + 110*T1^2 - 135*T1^3 + 110*T1^4 - 49*T1^5 + 9*T1^6 - 49*T2 + 
     218*T1*T2 - 333*T1^2*T2 + 137*T1^3*T2 + 137*T1^4*T2 - 333*T1^5*T2 + 
     218*T1^6*T2 - 49*T1^7*T2 + 110*T2^2 - 333*T1*T2^2 + 4*T1^2*T2^2 + 
     1019*T1^3*T2^2 - 1350*T1^4*T2^2 + 1019*T1^5*T2^2 + 4*T1^6*T2^2 - 
     333*T1^7*T2^2 + 110*T1^8*T2^2 - 135*T2^3 + 137*T1*T2^3 + 
     1019*T1^2*T2^3 - 2226*T1^3*T2^3 + 869*T1^4*T2^3 + 869*T1^5*T2^3 - 
     2226*T1^6*T2^3 + 1019*T1^7*T2^3 + 137*T1^8*T2^3 - 135*T1^9*T2^3 + 
     110*T2^4 + 137*T1*T2^4 - 1350*T1^2*T2^4 + 869*T1^3*T2^4 + 
     2848*T1^4*T2^4 - 4016*T1^5*T2^4 + 2848*T1^6*T2^4 + 869*T1^7*T2^4 - 
     1350*T1^8*T2^4 + 137*T1^9*T2^4 + 110*T1^10*T2^4 - 49*T2^5 - 
     333*T1*T2^5 + 1019*T1^2*T2^5 + 869*T1^3*T2^5 - 4016*T1^4*T2^5 + 
     1696*T1^5*T2^5 + 1696*T1^6*T2^5 - 4016*T1^7*T2^5 + 869*T1^8*T2^5 + 
     1019*T1^9*T2^5 - 333*T1^10*T2^5 - 49*T1^11*T2^5 + 9*T2^6 + 218*T1*T2^6 + 
     4*T1^2*T2^6 - 2226*T1^3*T2^6 + 2848*T1^4*T2^6 + 1696*T1^5*T2^6 - 
     3324*T1^6*T2^6 + 1696*T1^7*T2^6 + 2848*T1^8*T2^6 - 2226*T1^9*T2^6 + 
     4*T1^10*T2^6 + 218*T1^11*T2^6 + 9*T1^12*T2^6 - 49*T1*T2^7 - 
     333*T1^2*T2^7 + 1019*T1^3*T2^7 + 869*T1^4*T2^7 - 4016*T1^5*T2^7 + 
     1696*T1^6*T2^7 + 1696*T1^7*T2^7 - 4016*T1^8*T2^7 + 869*T1^9*T2^7 + 
     1019*T1^10*T2^7 - 333*T1^11*T2^7 - 49*T1^12*T2^7 + 110*T1^2*T2^8 + 
     137*T1^3*T2^8 - 1350*T1^4*T2^8 + 869*T1^5*T2^8 + 2848*T1^6*T2^8 - 
     4016*T1^7*T2^8 + 2848*T1^8*T2^8 + 869*T1^9*T2^8 - 1350*T1^10*T2^8 + 
     137*T1^11*T2^8 + 110*T1^12*T2^8 - 135*T1^3*T2^9 + 137*T1^4*T2^9 + 
     1019*T1^5*T2^9 - 2226*T1^6*T2^9 + 869*T1^7*T2^9 + 869*T1^8*T2^9 - 
     2226*T1^9*T2^9 + 1019*T1^10*T2^9 + 137*T1^11*T2^9 - 135*T1^12*T2^9 + 
     110*T1^4*T2^10 - 333*T1^5*T2^10 + 4*T1^6*T2^10 + 1019*T1^7*T2^10 - 
     1350*T1^8*T2^10 + 1019*T1^9*T2^10 + 4*T1^10*T2^10 - 333*T1^11*T2^10 + 
     110*T1^12*T2^10 - 49*T1^5*T2^11 + 218*T1^6*T2^11 - 333*T1^7*T2^11 + 
     137*T1^8*T2^11 + 137*T1^9*T2^11 - 333*T1^10*T2^11 + 218*T1^11*T2^11 - 
     49*T1^12*T2^11 + 9*T1^6*T2^12 - 49*T1^7*T2^12 + 110*T1^8*T2^12 - 
     135*T1^9*T2^12 + 110*T1^10*T2^12 - 49*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 11] -> 
  {-((2 - 11*T + 26*T^2 - 35*T^3 + 26*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((1 - 5*T1 + 12*T1^2 - 17*T1^3 + 12*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
      20*T1*T2 - 35*T1^2*T2 + 25*T1^3*T2 + 25*T1^4*T2 - 35*T1^5*T2 + 
      20*T1^6*T2 - 5*T1^7*T2 + 12*T2^2 - 35*T1*T2^2 + 43*T1^2*T2^2 - 
      6*T1^3*T2^2 - 75*T1^4*T2^2 - 6*T1^5*T2^2 + 43*T1^6*T2^2 - 
      35*T1^7*T2^2 + 12*T1^8*T2^2 - 17*T2^3 + 25*T1*T2^3 - 6*T1^2*T2^3 - 
      40*T1^3*T2^3 + 111*T1^4*T2^3 + 111*T1^5*T2^3 - 40*T1^6*T2^3 - 
      6*T1^7*T2^3 + 25*T1^8*T2^3 - 17*T1^9*T2^3 + 12*T2^4 + 25*T1*T2^4 - 
      75*T1^2*T2^4 + 111*T1^3*T2^4 - 158*T1^4*T2^4 - 154*T1^5*T2^4 - 
      158*T1^6*T2^4 + 111*T1^7*T2^4 - 75*T1^8*T2^4 + 25*T1^9*T2^4 + 
      12*T1^10*T2^4 - 5*T2^5 - 35*T1*T2^5 - 6*T1^2*T2^5 + 111*T1^3*T2^5 - 
      154*T1^4*T2^5 + 350*T1^5*T2^5 + 350*T1^6*T2^5 - 154*T1^7*T2^5 + 
      111*T1^8*T2^5 - 6*T1^9*T2^5 - 35*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
      20*T1*T2^6 + 43*T1^2*T2^6 - 40*T1^3*T2^6 - 158*T1^4*T2^6 + 
      350*T1^5*T2^6 - 1044*T1^6*T2^6 + 350*T1^7*T2^6 - 158*T1^8*T2^6 - 
      40*T1^9*T2^6 + 43*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
      35*T1^2*T2^7 - 6*T1^3*T2^7 + 111*T1^4*T2^7 - 154*T1^5*T2^7 + 
      350*T1^6*T2^7 + 350*T1^7*T2^7 - 154*T1^8*T2^7 + 111*T1^9*T2^7 - 
      6*T1^10*T2^7 - 35*T1^11*T2^7 - 5*T1^12*T2^7 + 12*T1^2*T2^8 + 
      25*T1^3*T2^8 - 75*T1^4*T2^8 + 111*T1^5*T2^8 - 158*T1^6*T2^8 - 
      154*T1^7*T2^8 - 158*T1^8*T2^8 + 111*T1^9*T2^8 - 75*T1^10*T2^8 + 
      25*T1^11*T2^8 + 12*T1^12*T2^8 - 17*T1^3*T2^9 + 25*T1^4*T2^9 - 
      6*T1^5*T2^9 - 40*T1^6*T2^9 + 111*T1^7*T2^9 + 111*T1^8*T2^9 - 
      40*T1^9*T2^9 - 6*T1^10*T2^9 + 25*T1^11*T2^9 - 17*T1^12*T2^9 + 
      12*T1^4*T2^10 - 35*T1^5*T2^10 + 43*T1^6*T2^10 - 6*T1^7*T2^10 - 
      75*T1^8*T2^10 - 6*T1^9*T2^10 + 43*T1^10*T2^10 - 35*T1^11*T2^10 + 
      12*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 35*T1^7*T2^11 + 
      25*T1^8*T2^11 + 25*T1^9*T2^11 - 35*T1^10*T2^11 + 20*T1^11*T2^11 - 
      5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 12*T1^8*T2^12 - 
      17*T1^9*T2^12 + 12*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[11, Alternating, 12] -> 
  {(2 - 11*T + 24*T^2 - 29*T^3 + 24*T^4 - 11*T^5 + 2*T^6)/T^3, 
   (9 - 49*T1 + 106*T1^2 - 127*T1^3 + 106*T1^4 - 49*T1^5 + 9*T1^6 - 49*T2 + 
     218*T1*T2 - 311*T1^2*T2 + 115*T1^3*T2 + 115*T1^4*T2 - 311*T1^5*T2 + 
     218*T1^6*T2 - 49*T1^7*T2 + 106*T2^2 - 311*T1*T2^2 - 98*T1^2*T2^2 + 
     1088*T1^3*T2^2 - 1318*T1^4*T2^2 + 1088*T1^5*T2^2 - 98*T1^6*T2^2 - 
     311*T1^7*T2^2 + 106*T1^8*T2^2 - 127*T2^3 + 115*T1*T2^3 + 
     1088*T1^2*T2^3 - 2106*T1^3*T2^3 + 686*T1^4*T2^3 + 686*T1^5*T2^3 - 
     2106*T1^6*T2^3 + 1088*T1^7*T2^3 + 115*T1^8*T2^3 - 127*T1^9*T2^3 + 
     106*T2^4 + 115*T1*T2^4 - 1318*T1^2*T2^4 + 686*T1^3*T2^4 + 
     2759*T1^4*T2^4 - 3431*T1^5*T2^4 + 2759*T1^6*T2^4 + 686*T1^7*T2^4 - 
     1318*T1^8*T2^4 + 115*T1^9*T2^4 + 106*T1^10*T2^4 - 49*T2^5 - 
     311*T1*T2^5 + 1088*T1^2*T2^5 + 686*T1^3*T2^5 - 3431*T1^4*T2^5 + 
     1152*T1^5*T2^5 + 1152*T1^6*T2^5 - 3431*T1^7*T2^5 + 686*T1^8*T2^5 + 
     1088*T1^9*T2^5 - 311*T1^10*T2^5 - 49*T1^11*T2^5 + 9*T2^6 + 218*T1*T2^6 - 
     98*T1^2*T2^6 - 2106*T1^3*T2^6 + 2759*T1^4*T2^6 + 1152*T1^5*T2^6 - 
     1968*T1^6*T2^6 + 1152*T1^7*T2^6 + 2759*T1^8*T2^6 - 2106*T1^9*T2^6 - 
     98*T1^10*T2^6 + 218*T1^11*T2^6 + 9*T1^12*T2^6 - 49*T1*T2^7 - 
     311*T1^2*T2^7 + 1088*T1^3*T2^7 + 686*T1^4*T2^7 - 3431*T1^5*T2^7 + 
     1152*T1^6*T2^7 + 1152*T1^7*T2^7 - 3431*T1^8*T2^7 + 686*T1^9*T2^7 + 
     1088*T1^10*T2^7 - 311*T1^11*T2^7 - 49*T1^12*T2^7 + 106*T1^2*T2^8 + 
     115*T1^3*T2^8 - 1318*T1^4*T2^8 + 686*T1^5*T2^8 + 2759*T1^6*T2^8 - 
     3431*T1^7*T2^8 + 2759*T1^8*T2^8 + 686*T1^9*T2^8 - 1318*T1^10*T2^8 + 
     115*T1^11*T2^8 + 106*T1^12*T2^8 - 127*T1^3*T2^9 + 115*T1^4*T2^9 + 
     1088*T1^5*T2^9 - 2106*T1^6*T2^9 + 686*T1^7*T2^9 + 686*T1^8*T2^9 - 
     2106*T1^9*T2^9 + 1088*T1^10*T2^9 + 115*T1^11*T2^9 - 127*T1^12*T2^9 + 
     106*T1^4*T2^10 - 311*T1^5*T2^10 - 98*T1^6*T2^10 + 1088*T1^7*T2^10 - 
     1318*T1^8*T2^10 + 1088*T1^9*T2^10 - 98*T1^10*T2^10 - 311*T1^11*T2^10 + 
     106*T1^12*T2^10 - 49*T1^5*T2^11 + 218*T1^6*T2^11 - 311*T1^7*T2^11 + 
     115*T1^8*T2^11 + 115*T1^9*T2^11 - 311*T1^10*T2^11 + 218*T1^11*T2^11 - 
     49*T1^12*T2^11 + 9*T1^6*T2^12 - 49*T1^7*T2^12 + 106*T1^8*T2^12 - 
     127*T1^9*T2^12 + 106*T1^10*T2^12 - 49*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 13] -> 
  {(3 - 15*T + 25*T^2 - 15*T^3 + 3*T^4)/T^2, 
   (9 - 45*T1 + 77*T1^2 - 45*T1^3 + 9*T1^4 - 45*T2 + 180*T1*T2 - 
     160*T1^2*T2 - 160*T1^3*T2 + 180*T1^4*T2 - 45*T1^5*T2 + 77*T2^2 - 
     160*T1*T2^2 - 368*T1^2*T2^2 + 1104*T1^3*T2^2 - 368*T1^4*T2^2 - 
     160*T1^5*T2^2 + 77*T1^6*T2^2 - 45*T2^3 - 160*T1*T2^3 + 1104*T1^2*T2^3 - 
     1118*T1^3*T2^3 - 1118*T1^4*T2^3 + 1104*T1^5*T2^3 - 160*T1^6*T2^3 - 
     45*T1^7*T2^3 + 9*T2^4 + 180*T1*T2^4 - 368*T1^2*T2^4 - 1118*T1^3*T2^4 + 
     3156*T1^4*T2^4 - 1118*T1^5*T2^4 - 368*T1^6*T2^4 + 180*T1^7*T2^4 + 
     9*T1^8*T2^4 - 45*T1*T2^5 - 160*T1^2*T2^5 + 1104*T1^3*T2^5 - 
     1118*T1^4*T2^5 - 1118*T1^5*T2^5 + 1104*T1^6*T2^5 - 160*T1^7*T2^5 - 
     45*T1^8*T2^5 + 77*T1^2*T2^6 - 160*T1^3*T2^6 - 368*T1^4*T2^6 + 
     1104*T1^5*T2^6 - 368*T1^6*T2^6 - 160*T1^7*T2^6 + 77*T1^8*T2^6 - 
     45*T1^3*T2^7 + 180*T1^4*T2^7 - 160*T1^5*T2^7 - 160*T1^6*T2^7 + 
     180*T1^7*T2^7 - 45*T1^8*T2^7 + 9*T1^4*T2^8 - 45*T1^5*T2^8 + 
     77*T1^6*T2^8 - 45*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4)}, 
 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, 
   (1 - 6*T1 + 14*T1^2 - 17*T1^3 + 14*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     24*T1*T2 - 38*T1^2*T2 + 14*T1^3*T2 + 14*T1^4*T2 - 38*T1^5*T2 + 
     24*T1^6*T2 - 6*T1^7*T2 + 14*T2^2 - 38*T1*T2^2 + 40*T1^2*T2^2 + 
     22*T1^3*T2^2 - 16*T1^4*T2^2 + 22*T1^5*T2^2 + 40*T1^6*T2^2 - 
     38*T1^7*T2^2 + 14*T1^8*T2^2 - 17*T2^3 + 14*T1*T2^3 + 22*T1^2*T2^3 - 
     102*T1^3*T2^3 - 9*T1^4*T2^3 - 9*T1^5*T2^3 - 102*T1^6*T2^3 + 
     22*T1^7*T2^3 + 14*T1^8*T2^3 - 17*T1^9*T2^3 + 14*T2^4 + 14*T1*T2^4 - 
     16*T1^2*T2^4 - 9*T1^3*T2^4 + 272*T1^4*T2^4 - 160*T1^5*T2^4 + 
     272*T1^6*T2^4 - 9*T1^7*T2^4 - 16*T1^8*T2^4 + 14*T1^9*T2^4 + 
     14*T1^10*T2^4 - 6*T2^5 - 38*T1*T2^5 + 22*T1^2*T2^5 - 9*T1^3*T2^5 - 
     160*T1^4*T2^5 - 110*T1^5*T2^5 - 110*T1^6*T2^5 - 160*T1^7*T2^5 - 
     9*T1^8*T2^5 + 22*T1^9*T2^5 - 38*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     24*T1*T2^6 + 40*T1^2*T2^6 - 102*T1^3*T2^6 + 272*T1^4*T2^6 - 
     110*T1^5*T2^6 + 444*T1^6*T2^6 - 110*T1^7*T2^6 + 272*T1^8*T2^6 - 
     102*T1^9*T2^6 + 40*T1^10*T2^6 + 24*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
     38*T1^2*T2^7 + 22*T1^3*T2^7 - 9*T1^4*T2^7 - 160*T1^5*T2^7 - 
     110*T1^6*T2^7 - 110*T1^7*T2^7 - 160*T1^8*T2^7 - 9*T1^9*T2^7 + 
     22*T1^10*T2^7 - 38*T1^11*T2^7 - 6*T1^12*T2^7 + 14*T1^2*T2^8 + 
     14*T1^3*T2^8 - 16*T1^4*T2^8 - 9*T1^5*T2^8 + 272*T1^6*T2^8 - 
     160*T1^7*T2^8 + 272*T1^8*T2^8 - 9*T1^9*T2^8 - 16*T1^10*T2^8 + 
     14*T1^11*T2^8 + 14*T1^12*T2^8 - 17*T1^3*T2^9 + 14*T1^4*T2^9 + 
     22*T1^5*T2^9 - 102*T1^6*T2^9 - 9*T1^7*T2^9 - 9*T1^8*T2^9 - 
     102*T1^9*T2^9 + 22*T1^10*T2^9 + 14*T1^11*T2^9 - 17*T1^12*T2^9 + 
     14*T1^4*T2^10 - 38*T1^5*T2^10 + 40*T1^6*T2^10 + 22*T1^7*T2^10 - 
     16*T1^8*T2^10 + 22*T1^9*T2^10 + 40*T1^10*T2^10 - 38*T1^11*T2^10 + 
     14*T1^12*T2^10 - 6*T1^5*T2^11 + 24*T1^6*T2^11 - 38*T1^7*T2^11 + 
     14*T1^8*T2^11 + 14*T1^9*T2^11 - 38*T1^10*T2^11 + 24*T1^11*T2^11 - 
     6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 14*T1^8*T2^12 - 
     17*T1^9*T2^12 + 14*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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), (1 - 5*T1 + 13*T1^2 - 22*T1^3 + 25*T1^4 - 22*T1^5 + 13*T1^6 - 
     5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 40*T1^2*T2 + 45*T1^3*T2 - 15*T1^4*T2 - 
     15*T1^5*T2 + 45*T1^6*T2 - 40*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
     13*T2^2 - 40*T1*T2^2 + 56*T1^2*T2^2 - 20*T1^3*T2^2 - 70*T1^4*T2^2 + 
     74*T1^5*T2^2 - 70*T1^6*T2^2 - 20*T1^7*T2^2 + 56*T1^8*T2^2 - 
     40*T1^9*T2^2 + 13*T1^10*T2^2 - 22*T2^3 + 45*T1*T2^3 - 20*T1^2*T2^3 - 
     84*T1^3*T2^3 + 185*T1^4*T2^3 - 30*T1^5*T2^3 - 30*T1^6*T2^3 + 
     185*T1^7*T2^3 - 84*T1^8*T2^3 - 20*T1^9*T2^3 + 45*T1^10*T2^3 - 
     22*T1^11*T2^3 + 25*T2^4 - 15*T1*T2^4 - 70*T1^2*T2^4 + 185*T1^3*T2^4 - 
     140*T1^4*T2^4 - 255*T1^5*T2^4 + 216*T1^6*T2^4 - 255*T1^7*T2^4 - 
     140*T1^8*T2^4 + 185*T1^9*T2^4 - 70*T1^10*T2^4 - 15*T1^11*T2^4 + 
     25*T1^12*T2^4 - 22*T2^5 - 15*T1*T2^5 + 74*T1^2*T2^5 - 30*T1^3*T2^5 - 
     255*T1^4*T2^5 + 642*T1^5*T2^5 - 125*T1^6*T2^5 - 125*T1^7*T2^5 + 
     642*T1^8*T2^5 - 255*T1^9*T2^5 - 30*T1^10*T2^5 + 74*T1^11*T2^5 - 
     15*T1^12*T2^5 - 22*T1^13*T2^5 + 13*T2^6 + 45*T1*T2^6 - 70*T1^2*T2^6 - 
     30*T1^3*T2^6 + 216*T1^4*T2^6 - 125*T1^5*T2^6 - 875*T1^6*T2^6 + 
     939*T1^7*T2^6 - 875*T1^8*T2^6 - 125*T1^9*T2^6 + 216*T1^10*T2^6 - 
     30*T1^11*T2^6 - 70*T1^12*T2^6 + 45*T1^13*T2^6 + 13*T1^14*T2^6 - 5*T2^7 - 
     40*T1*T2^7 - 20*T1^2*T2^7 + 185*T1^3*T2^7 - 255*T1^4*T2^7 - 
     125*T1^5*T2^7 + 939*T1^6*T2^7 - 278*T1^7*T2^7 - 278*T1^8*T2^7 + 
     939*T1^9*T2^7 - 125*T1^10*T2^7 - 255*T1^11*T2^7 + 185*T1^12*T2^7 - 
     20*T1^13*T2^7 - 40*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 
     56*T1^2*T2^8 - 84*T1^3*T2^8 - 140*T1^4*T2^8 + 642*T1^5*T2^8 - 
     875*T1^6*T2^8 - 278*T1^7*T2^8 + 492*T1^8*T2^8 - 278*T1^9*T2^8 - 
     875*T1^10*T2^8 + 642*T1^11*T2^8 - 140*T1^12*T2^8 - 84*T1^13*T2^8 + 
     56*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 40*T1^2*T2^9 - 
     20*T1^3*T2^9 + 185*T1^4*T2^9 - 255*T1^5*T2^9 - 125*T1^6*T2^9 + 
     939*T1^7*T2^9 - 278*T1^8*T2^9 - 278*T1^9*T2^9 + 939*T1^10*T2^9 - 
     125*T1^11*T2^9 - 255*T1^12*T2^9 + 185*T1^13*T2^9 - 20*T1^14*T2^9 - 
     40*T1^15*T2^9 - 5*T1^16*T2^9 + 13*T1^2*T2^10 + 45*T1^3*T2^10 - 
     70*T1^4*T2^10 - 30*T1^5*T2^10 + 216*T1^6*T2^10 - 125*T1^7*T2^10 - 
     875*T1^8*T2^10 + 939*T1^9*T2^10 - 875*T1^10*T2^10 - 125*T1^11*T2^10 + 
     216*T1^12*T2^10 - 30*T1^13*T2^10 - 70*T1^14*T2^10 + 45*T1^15*T2^10 + 
     13*T1^16*T2^10 - 22*T1^3*T2^11 - 15*T1^4*T2^11 + 74*T1^5*T2^11 - 
     30*T1^6*T2^11 - 255*T1^7*T2^11 + 642*T1^8*T2^11 - 125*T1^9*T2^11 - 
     125*T1^10*T2^11 + 642*T1^11*T2^11 - 255*T1^12*T2^11 - 30*T1^13*T2^11 + 
     74*T1^14*T2^11 - 15*T1^15*T2^11 - 22*T1^16*T2^11 + 25*T1^4*T2^12 - 
     15*T1^5*T2^12 - 70*T1^6*T2^12 + 185*T1^7*T2^12 - 140*T1^8*T2^12 - 
     255*T1^9*T2^12 + 216*T1^10*T2^12 - 255*T1^11*T2^12 - 140*T1^12*T2^12 + 
     185*T1^13*T2^12 - 70*T1^14*T2^12 - 15*T1^15*T2^12 + 25*T1^16*T2^12 - 
     22*T1^5*T2^13 + 45*T1^6*T2^13 - 20*T1^7*T2^13 - 84*T1^8*T2^13 + 
     185*T1^9*T2^13 - 30*T1^10*T2^13 - 30*T1^11*T2^13 + 185*T1^12*T2^13 - 
     84*T1^13*T2^13 - 20*T1^14*T2^13 + 45*T1^15*T2^13 - 22*T1^16*T2^13 + 
     13*T1^6*T2^14 - 40*T1^7*T2^14 + 56*T1^8*T2^14 - 20*T1^9*T2^14 - 
     70*T1^10*T2^14 + 74*T1^11*T2^14 - 70*T1^12*T2^14 - 20*T1^13*T2^14 + 
     56*T1^14*T2^14 - 40*T1^15*T2^14 + 13*T1^16*T2^14 - 5*T1^7*T2^15 + 
     20*T1^8*T2^15 - 40*T1^9*T2^15 + 45*T1^10*T2^15 - 15*T1^11*T2^15 - 
     15*T1^12*T2^15 + 45*T1^13*T2^15 - 40*T1^14*T2^15 + 20*T1^15*T2^15 - 
     5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 13*T1^10*T2^16 - 
     22*T1^11*T2^16 + 25*T1^12*T2^16 - 22*T1^13*T2^16 + 13*T1^14*T2^16 - 
     5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 16] -> 
  {-((2 - 10*T + 24*T^2 - 33*T^3 + 24*T^4 - 10*T^5 + 2*T^6)/T^3), 
   (1 - 5*T1 + 12*T1^2 - 17*T1^3 + 12*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 35*T1^2*T2 + 25*T1^3*T2 + 25*T1^4*T2 - 35*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 12*T2^2 - 35*T1*T2^2 + 31*T1^2*T2^2 + 
     39*T1^3*T2^2 - 139*T1^4*T2^2 + 39*T1^5*T2^2 + 31*T1^6*T2^2 - 
     35*T1^7*T2^2 + 12*T1^8*T2^2 - 17*T2^3 + 25*T1*T2^3 + 39*T1^2*T2^3 - 
     164*T1^3*T2^3 + 180*T1^4*T2^3 + 180*T1^5*T2^3 - 164*T1^6*T2^3 + 
     39*T1^7*T2^3 + 25*T1^8*T2^3 - 17*T1^9*T2^3 + 12*T2^4 + 25*T1*T2^4 - 
     139*T1^2*T2^4 + 180*T1^3*T2^4 + 70*T1^4*T2^4 - 540*T1^5*T2^4 + 
     70*T1^6*T2^4 + 180*T1^7*T2^4 - 139*T1^8*T2^4 + 25*T1^9*T2^4 + 
     12*T1^10*T2^4 - 5*T2^5 - 35*T1*T2^5 + 39*T1^2*T2^5 + 180*T1^3*T2^5 - 
     540*T1^4*T2^5 + 538*T1^5*T2^5 + 538*T1^6*T2^5 - 540*T1^7*T2^5 + 
     180*T1^8*T2^5 + 39*T1^9*T2^5 - 35*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 + 31*T1^2*T2^6 - 164*T1^3*T2^6 + 70*T1^4*T2^6 + 
     538*T1^5*T2^6 - 1392*T1^6*T2^6 + 538*T1^7*T2^6 + 70*T1^8*T2^6 - 
     164*T1^9*T2^6 + 31*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     35*T1^2*T2^7 + 39*T1^3*T2^7 + 180*T1^4*T2^7 - 540*T1^5*T2^7 + 
     538*T1^6*T2^7 + 538*T1^7*T2^7 - 540*T1^8*T2^7 + 180*T1^9*T2^7 + 
     39*T1^10*T2^7 - 35*T1^11*T2^7 - 5*T1^12*T2^7 + 12*T1^2*T2^8 + 
     25*T1^3*T2^8 - 139*T1^4*T2^8 + 180*T1^5*T2^8 + 70*T1^6*T2^8 - 
     540*T1^7*T2^8 + 70*T1^8*T2^8 + 180*T1^9*T2^8 - 139*T1^10*T2^8 + 
     25*T1^11*T2^8 + 12*T1^12*T2^8 - 17*T1^3*T2^9 + 25*T1^4*T2^9 + 
     39*T1^5*T2^9 - 164*T1^6*T2^9 + 180*T1^7*T2^9 + 180*T1^8*T2^9 - 
     164*T1^9*T2^9 + 39*T1^10*T2^9 + 25*T1^11*T2^9 - 17*T1^12*T2^9 + 
     12*T1^4*T2^10 - 35*T1^5*T2^10 + 31*T1^6*T2^10 + 39*T1^7*T2^10 - 
     139*T1^8*T2^10 + 39*T1^9*T2^10 + 31*T1^10*T2^10 - 35*T1^11*T2^10 + 
     12*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 35*T1^7*T2^11 + 
     25*T1^8*T2^11 + 25*T1^9*T2^11 - 35*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 12*T1^8*T2^12 - 
     17*T1^9*T2^12 + 12*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 17] -> 
  {(1 - 10*T + 30*T^2 - 41*T^3 + 30*T^4 - 10*T^5 + T^6)/T^3, 
   (1 - 10*T1 + 30*T1^2 - 41*T1^3 + 30*T1^4 - 10*T1^5 + T1^6 - 10*T2 + 
     90*T1*T2 - 200*T1^2*T2 + 110*T1^3*T2 + 110*T1^4*T2 - 200*T1^5*T2 + 
     90*T1^6*T2 - 10*T1^7*T2 + 30*T2^2 - 200*T1*T2^2 - 45*T1^2*T2^2 + 
     1364*T1^3*T2^2 - 2143*T1^4*T2^2 + 1364*T1^5*T2^2 - 45*T1^6*T2^2 - 
     200*T1^7*T2^2 + 30*T1^8*T2^2 - 41*T2^3 + 110*T1*T2^3 + 1364*T1^2*T2^3 - 
     4034*T1^3*T2^3 + 2289*T1^4*T2^3 + 2289*T1^5*T2^3 - 4034*T1^6*T2^3 + 
     1364*T1^7*T2^3 + 110*T1^8*T2^3 - 41*T1^9*T2^3 + 30*T2^4 + 110*T1*T2^4 - 
     2143*T1^2*T2^4 + 2289*T1^3*T2^4 + 6379*T1^4*T2^4 - 11811*T1^5*T2^4 + 
     6379*T1^6*T2^4 + 2289*T1^7*T2^4 - 2143*T1^8*T2^4 + 110*T1^9*T2^4 + 
     30*T1^10*T2^4 - 10*T2^5 - 200*T1*T2^5 + 1364*T1^2*T2^5 + 
     2289*T1^3*T2^5 - 11811*T1^4*T2^5 + 7132*T1^5*T2^5 + 7132*T1^6*T2^5 - 
     11811*T1^7*T2^5 + 2289*T1^8*T2^5 + 1364*T1^9*T2^5 - 200*T1^10*T2^5 - 
     10*T1^11*T2^5 + T2^6 + 90*T1*T2^6 - 45*T1^2*T2^6 - 4034*T1^3*T2^6 + 
     6379*T1^4*T2^6 + 7132*T1^5*T2^6 - 16164*T1^6*T2^6 + 7132*T1^7*T2^6 + 
     6379*T1^8*T2^6 - 4034*T1^9*T2^6 - 45*T1^10*T2^6 + 90*T1^11*T2^6 + 
     T1^12*T2^6 - 10*T1*T2^7 - 200*T1^2*T2^7 + 1364*T1^3*T2^7 + 
     2289*T1^4*T2^7 - 11811*T1^5*T2^7 + 7132*T1^6*T2^7 + 7132*T1^7*T2^7 - 
     11811*T1^8*T2^7 + 2289*T1^9*T2^7 + 1364*T1^10*T2^7 - 200*T1^11*T2^7 - 
     10*T1^12*T2^7 + 30*T1^2*T2^8 + 110*T1^3*T2^8 - 2143*T1^4*T2^8 + 
     2289*T1^5*T2^8 + 6379*T1^6*T2^8 - 11811*T1^7*T2^8 + 6379*T1^8*T2^8 + 
     2289*T1^9*T2^8 - 2143*T1^10*T2^8 + 110*T1^11*T2^8 + 30*T1^12*T2^8 - 
     41*T1^3*T2^9 + 110*T1^4*T2^9 + 1364*T1^5*T2^9 - 4034*T1^6*T2^9 + 
     2289*T1^7*T2^9 + 2289*T1^8*T2^9 - 4034*T1^9*T2^9 + 1364*T1^10*T2^9 + 
     110*T1^11*T2^9 - 41*T1^12*T2^9 + 30*T1^4*T2^10 - 200*T1^5*T2^10 - 
     45*T1^6*T2^10 + 1364*T1^7*T2^10 - 2143*T1^8*T2^10 + 1364*T1^9*T2^10 - 
     45*T1^10*T2^10 - 200*T1^11*T2^10 + 30*T1^12*T2^10 - 10*T1^5*T2^11 + 
     90*T1^6*T2^11 - 200*T1^7*T2^11 + 110*T1^8*T2^11 + 110*T1^9*T2^11 - 
     200*T1^10*T2^11 + 90*T1^11*T2^11 - 10*T1^12*T2^11 + T1^6*T2^12 - 
     10*T1^7*T2^12 + 30*T1^8*T2^12 - 41*T1^9*T2^12 + 30*T1^10*T2^12 - 
     10*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, Alternating, 18] -> 
  {(3 - 13*T + 29*T^2 - 37*T^3 + 29*T^4 - 13*T^5 + 3*T^6)/T^3, 
   (30 - 128*T1 + 286*T1^2 - 364*T1^3 + 286*T1^4 - 128*T1^5 + 30*T1^6 - 
     128*T2 + 420*T1*T2 - 677*T1^2*T2 + 335*T1^3*T2 + 335*T1^4*T2 - 
     677*T1^5*T2 + 420*T1^6*T2 - 128*T1^7*T2 + 286*T2^2 - 677*T1*T2^2 + 
     674*T1^2*T2^2 + 544*T1^3*T2^2 - 1226*T1^4*T2^2 + 544*T1^5*T2^2 + 
     674*T1^6*T2^2 - 677*T1^7*T2^2 + 286*T1^8*T2^2 - 364*T2^3 + 335*T1*T2^3 + 
     544*T1^2*T2^3 - 2422*T1^3*T2^3 + 1311*T1^4*T2^3 + 1311*T1^5*T2^3 - 
     2422*T1^6*T2^3 + 544*T1^7*T2^3 + 335*T1^8*T2^3 - 364*T1^9*T2^3 + 
     286*T2^4 + 335*T1*T2^4 - 1226*T1^2*T2^4 + 1311*T1^3*T2^4 + 
     3481*T1^4*T2^4 - 6001*T1^5*T2^4 + 3481*T1^6*T2^4 + 1311*T1^7*T2^4 - 
     1226*T1^8*T2^4 + 335*T1^9*T2^4 + 286*T1^10*T2^4 - 128*T2^5 - 
     677*T1*T2^5 + 544*T1^2*T2^5 + 1311*T1^3*T2^5 - 6001*T1^4*T2^5 + 
     3184*T1^5*T2^5 + 3184*T1^6*T2^5 - 6001*T1^7*T2^5 + 1311*T1^8*T2^5 + 
     544*T1^9*T2^5 - 677*T1^10*T2^5 - 128*T1^11*T2^5 + 30*T2^6 + 
     420*T1*T2^6 + 674*T1^2*T2^6 - 2422*T1^3*T2^6 + 3481*T1^4*T2^6 + 
     3184*T1^5*T2^6 - 6708*T1^6*T2^6 + 3184*T1^7*T2^6 + 3481*T1^8*T2^6 - 
     2422*T1^9*T2^6 + 674*T1^10*T2^6 + 420*T1^11*T2^6 + 30*T1^12*T2^6 - 
     128*T1*T2^7 - 677*T1^2*T2^7 + 544*T1^3*T2^7 + 1311*T1^4*T2^7 - 
     6001*T1^5*T2^7 + 3184*T1^6*T2^7 + 3184*T1^7*T2^7 - 6001*T1^8*T2^7 + 
     1311*T1^9*T2^7 + 544*T1^10*T2^7 - 677*T1^11*T2^7 - 128*T1^12*T2^7 + 
     286*T1^2*T2^8 + 335*T1^3*T2^8 - 1226*T1^4*T2^8 + 1311*T1^5*T2^8 + 
     3481*T1^6*T2^8 - 6001*T1^7*T2^8 + 3481*T1^8*T2^8 + 1311*T1^9*T2^8 - 
     1226*T1^10*T2^8 + 335*T1^11*T2^8 + 286*T1^12*T2^8 - 364*T1^3*T2^9 + 
     335*T1^4*T2^9 + 544*T1^5*T2^9 - 2422*T1^6*T2^9 + 1311*T1^7*T2^9 + 
     1311*T1^8*T2^9 - 2422*T1^9*T2^9 + 544*T1^10*T2^9 + 335*T1^11*T2^9 - 
     364*T1^12*T2^9 + 286*T1^4*T2^10 - 677*T1^5*T2^10 + 674*T1^6*T2^10 + 
     544*T1^7*T2^10 - 1226*T1^8*T2^10 + 544*T1^9*T2^10 + 674*T1^10*T2^10 - 
     677*T1^11*T2^10 + 286*T1^12*T2^10 - 128*T1^5*T2^11 + 420*T1^6*T2^11 - 
     677*T1^7*T2^11 + 335*T1^8*T2^11 + 335*T1^9*T2^11 - 677*T1^10*T2^11 + 
     420*T1^11*T2^11 - 128*T1^12*T2^11 + 30*T1^6*T2^12 - 128*T1^7*T2^12 + 
     286*T1^8*T2^12 - 364*T1^9*T2^12 + 286*T1^10*T2^12 - 128*T1^11*T2^12 + 
     30*T1^12*T2^12)/(T1^6*T2^6)}, 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), -((1 - 6*T1 + 18*T1^2 - 33*T1^3 + 39*T1^4 - 33*T1^5 + 18*T1^6 - 
      6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 72*T1^2*T2 + 90*T1^3*T2 - 
      36*T1^4*T2 - 36*T1^5*T2 + 90*T1^6*T2 - 72*T1^7*T2 + 30*T1^8*T2 - 
      6*T1^9*T2 + 18*T2^2 - 72*T1*T2^2 + 125*T1^2*T2^2 - 49*T1^3*T2^2 - 
      175*T1^4*T2^2 + 235*T1^5*T2^2 - 175*T1^6*T2^2 - 49*T1^7*T2^2 + 
      125*T1^8*T2^2 - 72*T1^9*T2^2 + 18*T1^10*T2^2 - 33*T2^3 + 90*T1*T2^3 - 
      49*T1^2*T2^3 - 260*T1^3*T2^3 + 570*T1^4*T2^3 - 183*T1^5*T2^3 - 
      183*T1^6*T2^3 + 570*T1^7*T2^3 - 260*T1^8*T2^3 - 49*T1^9*T2^3 + 
      90*T1^10*T2^3 - 33*T1^11*T2^3 + 39*T2^4 - 36*T1*T2^4 - 175*T1^2*T2^4 + 
      570*T1^3*T2^4 - 382*T1^4*T2^4 - 927*T1^5*T2^4 + 1090*T1^6*T2^4 - 
      927*T1^7*T2^4 - 382*T1^8*T2^4 + 570*T1^9*T2^4 - 175*T1^10*T2^4 - 
      36*T1^11*T2^4 + 39*T1^12*T2^4 - 33*T2^5 - 36*T1*T2^5 + 235*T1^2*T2^5 - 
      183*T1^3*T2^5 - 927*T1^4*T2^5 + 2340*T1^5*T2^5 - 646*T1^6*T2^5 - 
      646*T1^7*T2^5 + 2340*T1^8*T2^5 - 927*T1^9*T2^5 - 183*T1^10*T2^5 + 
      235*T1^11*T2^5 - 36*T1^12*T2^5 - 33*T1^13*T2^5 + 18*T2^6 + 90*T1*T2^6 - 
      175*T1^2*T2^6 - 183*T1^3*T2^6 + 1090*T1^4*T2^6 - 646*T1^5*T2^6 - 
      3189*T1^6*T2^6 + 3569*T1^7*T2^6 - 3189*T1^8*T2^6 - 646*T1^9*T2^6 + 
      1090*T1^10*T2^6 - 183*T1^11*T2^6 - 175*T1^12*T2^6 + 90*T1^13*T2^6 + 
      18*T1^14*T2^6 - 6*T2^7 - 72*T1*T2^7 - 49*T1^2*T2^7 + 570*T1^3*T2^7 - 
      927*T1^4*T2^7 - 646*T1^5*T2^7 + 3569*T1^6*T2^7 - 850*T1^7*T2^7 - 
      850*T1^8*T2^7 + 3569*T1^9*T2^7 - 646*T1^10*T2^7 - 927*T1^11*T2^7 + 
      570*T1^12*T2^7 - 49*T1^13*T2^7 - 72*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 
      30*T1*T2^8 + 125*T1^2*T2^8 - 260*T1^3*T2^8 - 382*T1^4*T2^8 + 
      2340*T1^5*T2^8 - 3189*T1^6*T2^8 - 850*T1^7*T2^8 + 900*T1^8*T2^8 - 
      850*T1^9*T2^8 - 3189*T1^10*T2^8 + 2340*T1^11*T2^8 - 382*T1^12*T2^8 - 
      260*T1^13*T2^8 + 125*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 
      6*T1*T2^9 - 72*T1^2*T2^9 - 49*T1^3*T2^9 + 570*T1^4*T2^9 - 
      927*T1^5*T2^9 - 646*T1^6*T2^9 + 3569*T1^7*T2^9 - 850*T1^8*T2^9 - 
      850*T1^9*T2^9 + 3569*T1^10*T2^9 - 646*T1^11*T2^9 - 927*T1^12*T2^9 + 
      570*T1^13*T2^9 - 49*T1^14*T2^9 - 72*T1^15*T2^9 - 6*T1^16*T2^9 + 
      18*T1^2*T2^10 + 90*T1^3*T2^10 - 175*T1^4*T2^10 - 183*T1^5*T2^10 + 
      1090*T1^6*T2^10 - 646*T1^7*T2^10 - 3189*T1^8*T2^10 + 3569*T1^9*T2^10 - 
      3189*T1^10*T2^10 - 646*T1^11*T2^10 + 1090*T1^12*T2^10 - 
      183*T1^13*T2^10 - 175*T1^14*T2^10 + 90*T1^15*T2^10 + 18*T1^16*T2^10 - 
      33*T1^3*T2^11 - 36*T1^4*T2^11 + 235*T1^5*T2^11 - 183*T1^6*T2^11 - 
      927*T1^7*T2^11 + 2340*T1^8*T2^11 - 646*T1^9*T2^11 - 646*T1^10*T2^11 + 
      2340*T1^11*T2^11 - 927*T1^12*T2^11 - 183*T1^13*T2^11 + 
      235*T1^14*T2^11 - 36*T1^15*T2^11 - 33*T1^16*T2^11 + 39*T1^4*T2^12 - 
      36*T1^5*T2^12 - 175*T1^6*T2^12 + 570*T1^7*T2^12 - 382*T1^8*T2^12 - 
      927*T1^9*T2^12 + 1090*T1^10*T2^12 - 927*T1^11*T2^12 - 382*T1^12*T2^12 + 
      570*T1^13*T2^12 - 175*T1^14*T2^12 - 36*T1^15*T2^12 + 39*T1^16*T2^12 - 
      33*T1^5*T2^13 + 90*T1^6*T2^13 - 49*T1^7*T2^13 - 260*T1^8*T2^13 + 
      570*T1^9*T2^13 - 183*T1^10*T2^13 - 183*T1^11*T2^13 + 570*T1^12*T2^13 - 
      260*T1^13*T2^13 - 49*T1^14*T2^13 + 90*T1^15*T2^13 - 33*T1^16*T2^13 + 
      18*T1^6*T2^14 - 72*T1^7*T2^14 + 125*T1^8*T2^14 - 49*T1^9*T2^14 - 
      175*T1^10*T2^14 + 235*T1^11*T2^14 - 175*T1^12*T2^14 - 49*T1^13*T2^14 + 
      125*T1^14*T2^14 - 72*T1^15*T2^14 + 18*T1^16*T2^14 - 6*T1^7*T2^15 + 
      30*T1^8*T2^15 - 72*T1^9*T2^15 + 90*T1^10*T2^15 - 36*T1^11*T2^15 - 
      36*T1^12*T2^15 + 90*T1^13*T2^15 - 72*T1^14*T2^15 + 30*T1^15*T2^15 - 
      6*T1^16*T2^15 + T1^8*T2^16 - 6*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 - 
      6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[11, Alternating, 20] -> 
  {-((3 - 13*T + 25*T^2 - 31*T^3 + 25*T^4 - 13*T^5 + 3*T^6)/T^3), 
   -((57 - 245*T1 + 467*T1^2 - 579*T1^3 + 467*T1^4 - 245*T1^5 + 57*T1^6 - 
      245*T2 + 810*T1*T2 - 959*T1^2*T2 + 483*T1^3*T2 + 483*T1^4*T2 - 
      959*T1^5*T2 + 810*T1^6*T2 - 245*T1^7*T2 + 467*T2^2 - 959*T1*T2^2 - 
      255*T1^2*T2^2 + 2011*T1^3*T2^2 - 3221*T1^4*T2^2 + 2011*T1^5*T2^2 - 
      255*T1^6*T2^2 - 959*T1^7*T2^2 + 467*T1^8*T2^2 - 579*T2^3 + 
      483*T1*T2^3 + 2011*T1^2*T2^3 - 2938*T1^3*T2^3 + 1878*T1^4*T2^3 + 
      1878*T1^5*T2^3 - 2938*T1^6*T2^3 + 2011*T1^7*T2^3 + 483*T1^8*T2^3 - 
      579*T1^9*T2^3 + 467*T2^4 + 483*T1*T2^4 - 3221*T1^2*T2^4 + 
      1878*T1^3*T2^4 + 642*T1^4*T2^4 - 3550*T1^5*T2^4 + 642*T1^6*T2^4 + 
      1878*T1^7*T2^4 - 3221*T1^8*T2^4 + 483*T1^9*T2^4 + 467*T1^10*T2^4 - 
      245*T2^5 - 959*T1*T2^5 + 2011*T1^2*T2^5 + 1878*T1^3*T2^5 - 
      3550*T1^4*T2^5 + 2972*T1^5*T2^5 + 2972*T1^6*T2^5 - 3550*T1^7*T2^5 + 
      1878*T1^8*T2^5 + 2011*T1^9*T2^5 - 959*T1^10*T2^5 - 245*T1^11*T2^5 + 
      57*T2^6 + 810*T1*T2^6 - 255*T1^2*T2^6 - 2938*T1^3*T2^6 + 
      642*T1^4*T2^6 + 2972*T1^5*T2^6 - 7248*T1^6*T2^6 + 2972*T1^7*T2^6 + 
      642*T1^8*T2^6 - 2938*T1^9*T2^6 - 255*T1^10*T2^6 + 810*T1^11*T2^6 + 
      57*T1^12*T2^6 - 245*T1*T2^7 - 959*T1^2*T2^7 + 2011*T1^3*T2^7 + 
      1878*T1^4*T2^7 - 3550*T1^5*T2^7 + 2972*T1^6*T2^7 + 2972*T1^7*T2^7 - 
      3550*T1^8*T2^7 + 1878*T1^9*T2^7 + 2011*T1^10*T2^7 - 959*T1^11*T2^7 - 
      245*T1^12*T2^7 + 467*T1^2*T2^8 + 483*T1^3*T2^8 - 3221*T1^4*T2^8 + 
      1878*T1^5*T2^8 + 642*T1^6*T2^8 - 3550*T1^7*T2^8 + 642*T1^8*T2^8 + 
      1878*T1^9*T2^8 - 3221*T1^10*T2^8 + 483*T1^11*T2^8 + 467*T1^12*T2^8 - 
      579*T1^3*T2^9 + 483*T1^4*T2^9 + 2011*T1^5*T2^9 - 2938*T1^6*T2^9 + 
      1878*T1^7*T2^9 + 1878*T1^8*T2^9 - 2938*T1^9*T2^9 + 2011*T1^10*T2^9 + 
      483*T1^11*T2^9 - 579*T1^12*T2^9 + 467*T1^4*T2^10 - 959*T1^5*T2^10 - 
      255*T1^6*T2^10 + 2011*T1^7*T2^10 - 3221*T1^8*T2^10 + 2011*T1^9*T2^10 - 
      255*T1^10*T2^10 - 959*T1^11*T2^10 + 467*T1^12*T2^10 - 245*T1^5*T2^11 + 
      810*T1^6*T2^11 - 959*T1^7*T2^11 + 483*T1^8*T2^11 + 483*T1^9*T2^11 - 
      959*T1^10*T2^11 + 810*T1^11*T2^11 - 245*T1^12*T2^11 + 57*T1^6*T2^12 - 
      245*T1^7*T2^12 + 467*T1^8*T2^12 - 579*T1^9*T2^12 + 467*T1^10*T2^12 - 
      245*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, Alternating, 21] -> {-((5 - 19*T + 27*T^2 - 19*T^3 + 5*T^4)/T^2), 
   -((165 - 627*T1 + 883*T1^2 - 627*T1^3 + 165*T1^4 - 627*T2 + 1764*T1*T2 - 
      983*T1^2*T2 - 983*T1^3*T2 + 1764*T1^4*T2 - 627*T1^5*T2 + 883*T2^2 - 
      983*T1*T2^2 - 3505*T1^2*T2^2 + 6221*T1^3*T2^2 - 3505*T1^4*T2^2 - 
      983*T1^5*T2^2 + 883*T1^6*T2^2 - 627*T2^3 - 983*T1*T2^3 + 
      6221*T1^2*T2^3 - 3690*T1^3*T2^3 - 3690*T1^4*T2^3 + 6221*T1^5*T2^3 - 
      983*T1^6*T2^3 - 627*T1^7*T2^3 + 165*T2^4 + 1764*T1*T2^4 - 
      3505*T1^2*T2^4 - 3690*T1^3*T2^4 + 8292*T1^4*T2^4 - 3690*T1^5*T2^4 - 
      3505*T1^6*T2^4 + 1764*T1^7*T2^4 + 165*T1^8*T2^4 - 627*T1*T2^5 - 
      983*T1^2*T2^5 + 6221*T1^3*T2^5 - 3690*T1^4*T2^5 - 3690*T1^5*T2^5 + 
      6221*T1^6*T2^5 - 983*T1^7*T2^5 - 627*T1^8*T2^5 + 883*T1^2*T2^6 - 
      983*T1^3*T2^6 - 3505*T1^4*T2^6 + 6221*T1^5*T2^6 - 3505*T1^6*T2^6 - 
      983*T1^7*T2^6 + 883*T1^8*T2^6 - 627*T1^3*T2^7 + 1764*T1^4*T2^7 - 
      983*T1^5*T2^7 - 983*T1^6*T2^7 + 1764*T1^7*T2^7 - 627*T1^8*T2^7 + 
      165*T1^4*T2^8 - 627*T1^5*T2^8 + 883*T1^6*T2^8 - 627*T1^7*T2^8 + 
      165*T1^8*T2^8)/(T1^4*T2^4))}, 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, 
   (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 + 40*T1*T2 - 80*T1^2*T2 + 70*T1^3*T2 - 30*T1^4*T2 - 
     30*T1^5*T2 + 70*T1^6*T2 - 80*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     26*T2^2 - 80*T1*T2^2 + 113*T1^2*T2^2 + 5*T1^3*T2^2 - 79*T1^4*T2^2 + 
     129*T1^5*T2^2 - 79*T1^6*T2^2 + 5*T1^7*T2^2 + 113*T1^8*T2^2 - 
     80*T1^9*T2^2 + 26*T1^10*T2^2 - 40*T2^3 + 70*T1*T2^3 + 5*T1^2*T2^3 - 
     296*T1^3*T2^3 + 229*T1^4*T2^3 - 125*T1^5*T2^3 - 125*T1^6*T2^3 + 
     229*T1^7*T2^3 - 296*T1^8*T2^3 + 5*T1^9*T2^3 + 70*T1^10*T2^3 - 
     40*T1^11*T2^3 + 46*T2^4 - 30*T1*T2^4 - 79*T1^2*T2^4 + 229*T1^3*T2^4 + 
     415*T1^4*T2^4 - 711*T1^5*T2^4 + 977*T1^6*T2^4 - 711*T1^7*T2^4 + 
     415*T1^8*T2^4 + 229*T1^9*T2^4 - 79*T1^10*T2^4 - 30*T1^11*T2^4 + 
     46*T1^12*T2^4 - 40*T2^5 - 30*T1*T2^5 + 129*T1^2*T2^5 - 125*T1^3*T2^5 - 
     711*T1^4*T2^5 + 466*T1^5*T2^5 - 322*T1^6*T2^5 - 322*T1^7*T2^5 + 
     466*T1^8*T2^5 - 711*T1^9*T2^5 - 125*T1^10*T2^5 + 129*T1^11*T2^5 - 
     30*T1^12*T2^5 - 40*T1^13*T2^5 + 26*T2^6 + 70*T1*T2^6 - 79*T1^2*T2^6 - 
     125*T1^3*T2^6 + 977*T1^4*T2^6 - 322*T1^5*T2^6 + 354*T1^6*T2^6 + 
     24*T1^7*T2^6 + 354*T1^8*T2^6 - 322*T1^9*T2^6 + 977*T1^10*T2^6 - 
     125*T1^11*T2^6 - 79*T1^12*T2^6 + 70*T1^13*T2^6 + 26*T1^14*T2^6 - 
     10*T2^7 - 80*T1*T2^7 + 5*T1^2*T2^7 + 229*T1^3*T2^7 - 711*T1^4*T2^7 - 
     322*T1^5*T2^7 + 24*T1^6*T2^7 - 254*T1^7*T2^7 - 254*T1^8*T2^7 + 
     24*T1^9*T2^7 - 322*T1^10*T2^7 - 711*T1^11*T2^7 + 229*T1^12*T2^7 + 
     5*T1^13*T2^7 - 80*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 + 
     113*T1^2*T2^8 - 296*T1^3*T2^8 + 415*T1^4*T2^8 + 466*T1^5*T2^8 + 
     354*T1^6*T2^8 - 254*T1^7*T2^8 + 708*T1^8*T2^8 - 254*T1^9*T2^8 + 
     354*T1^10*T2^8 + 466*T1^11*T2^8 + 415*T1^12*T2^8 - 296*T1^13*T2^8 + 
     113*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     80*T1^2*T2^9 + 5*T1^3*T2^9 + 229*T1^4*T2^9 - 711*T1^5*T2^9 - 
     322*T1^6*T2^9 + 24*T1^7*T2^9 - 254*T1^8*T2^9 - 254*T1^9*T2^9 + 
     24*T1^10*T2^9 - 322*T1^11*T2^9 - 711*T1^12*T2^9 + 229*T1^13*T2^9 + 
     5*T1^14*T2^9 - 80*T1^15*T2^9 - 10*T1^16*T2^9 + 26*T1^2*T2^10 + 
     70*T1^3*T2^10 - 79*T1^4*T2^10 - 125*T1^5*T2^10 + 977*T1^6*T2^10 - 
     322*T1^7*T2^10 + 354*T1^8*T2^10 + 24*T1^9*T2^10 + 354*T1^10*T2^10 - 
     322*T1^11*T2^10 + 977*T1^12*T2^10 - 125*T1^13*T2^10 - 79*T1^14*T2^10 + 
     70*T1^15*T2^10 + 26*T1^16*T2^10 - 40*T1^3*T2^11 - 30*T1^4*T2^11 + 
     129*T1^5*T2^11 - 125*T1^6*T2^11 - 711*T1^7*T2^11 + 466*T1^8*T2^11 - 
     322*T1^9*T2^11 - 322*T1^10*T2^11 + 466*T1^11*T2^11 - 711*T1^12*T2^11 - 
     125*T1^13*T2^11 + 129*T1^14*T2^11 - 30*T1^15*T2^11 - 40*T1^16*T2^11 + 
     46*T1^4*T2^12 - 30*T1^5*T2^12 - 79*T1^6*T2^12 + 229*T1^7*T2^12 + 
     415*T1^8*T2^12 - 711*T1^9*T2^12 + 977*T1^10*T2^12 - 711*T1^11*T2^12 + 
     415*T1^12*T2^12 + 229*T1^13*T2^12 - 79*T1^14*T2^12 - 30*T1^15*T2^12 + 
     46*T1^16*T2^12 - 40*T1^5*T2^13 + 70*T1^6*T2^13 + 5*T1^7*T2^13 - 
     296*T1^8*T2^13 + 229*T1^9*T2^13 - 125*T1^10*T2^13 - 125*T1^11*T2^13 + 
     229*T1^12*T2^13 - 296*T1^13*T2^13 + 5*T1^14*T2^13 + 70*T1^15*T2^13 - 
     40*T1^16*T2^13 + 26*T1^6*T2^14 - 80*T1^7*T2^14 + 113*T1^8*T2^14 + 
     5*T1^9*T2^14 - 79*T1^10*T2^14 + 129*T1^11*T2^14 - 79*T1^12*T2^14 + 
     5*T1^13*T2^14 + 113*T1^14*T2^14 - 80*T1^15*T2^14 + 26*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 80*T1^9*T2^15 + 70*T1^10*T2^15 - 
     30*T1^11*T2^15 - 30*T1^12*T2^15 + 70*T1^13*T2^15 - 80*T1^14*T2^15 + 
     40*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)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 23] -> 
  {(2 - 10*T + 24*T^2 - 31*T^3 + 24*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (9 - 45*T1 + 108*T1^2 - 139*T1^3 + 108*T1^4 - 45*T1^5 + 9*T1^6 - 45*T2 + 
     180*T1*T2 - 315*T1^2*T2 + 155*T1^3*T2 + 155*T1^4*T2 - 315*T1^5*T2 + 
     180*T1^6*T2 - 45*T1^7*T2 + 108*T2^2 - 315*T1*T2^2 + 279*T1^2*T2^2 + 
     493*T1^3*T2^2 - 889*T1^4*T2^2 + 493*T1^5*T2^2 + 279*T1^6*T2^2 - 
     315*T1^7*T2^2 + 108*T1^8*T2^2 - 139*T2^3 + 155*T1*T2^3 + 493*T1^2*T2^3 - 
     1772*T1^3*T2^3 + 900*T1^4*T2^3 + 900*T1^5*T2^3 - 1772*T1^6*T2^3 + 
     493*T1^7*T2^3 + 155*T1^8*T2^3 - 139*T1^9*T2^3 + 108*T2^4 + 155*T1*T2^4 - 
     889*T1^2*T2^4 + 900*T1^3*T2^4 + 2682*T1^4*T2^4 - 4396*T1^5*T2^4 + 
     2682*T1^6*T2^4 + 900*T1^7*T2^4 - 889*T1^8*T2^4 + 155*T1^9*T2^4 + 
     108*T1^10*T2^4 - 45*T2^5 - 315*T1*T2^5 + 493*T1^2*T2^5 + 900*T1^3*T2^5 - 
     4396*T1^4*T2^5 + 2206*T1^5*T2^5 + 2206*T1^6*T2^5 - 4396*T1^7*T2^5 + 
     900*T1^8*T2^5 + 493*T1^9*T2^5 - 315*T1^10*T2^5 - 45*T1^11*T2^5 + 
     9*T2^6 + 180*T1*T2^6 + 279*T1^2*T2^6 - 1772*T1^3*T2^6 + 2682*T1^4*T2^6 + 
     2206*T1^5*T2^6 - 4512*T1^6*T2^6 + 2206*T1^7*T2^6 + 2682*T1^8*T2^6 - 
     1772*T1^9*T2^6 + 279*T1^10*T2^6 + 180*T1^11*T2^6 + 9*T1^12*T2^6 - 
     45*T1*T2^7 - 315*T1^2*T2^7 + 493*T1^3*T2^7 + 900*T1^4*T2^7 - 
     4396*T1^5*T2^7 + 2206*T1^6*T2^7 + 2206*T1^7*T2^7 - 4396*T1^8*T2^7 + 
     900*T1^9*T2^7 + 493*T1^10*T2^7 - 315*T1^11*T2^7 - 45*T1^12*T2^7 + 
     108*T1^2*T2^8 + 155*T1^3*T2^8 - 889*T1^4*T2^8 + 900*T1^5*T2^8 + 
     2682*T1^6*T2^8 - 4396*T1^7*T2^8 + 2682*T1^8*T2^8 + 900*T1^9*T2^8 - 
     889*T1^10*T2^8 + 155*T1^11*T2^8 + 108*T1^12*T2^8 - 139*T1^3*T2^9 + 
     155*T1^4*T2^9 + 493*T1^5*T2^9 - 1772*T1^6*T2^9 + 900*T1^7*T2^9 + 
     900*T1^8*T2^9 - 1772*T1^9*T2^9 + 493*T1^10*T2^9 + 155*T1^11*T2^9 - 
     139*T1^12*T2^9 + 108*T1^4*T2^10 - 315*T1^5*T2^10 + 279*T1^6*T2^10 + 
     493*T1^7*T2^10 - 889*T1^8*T2^10 + 493*T1^9*T2^10 + 279*T1^10*T2^10 - 
     315*T1^11*T2^10 + 108*T1^12*T2^10 - 45*T1^5*T2^11 + 180*T1^6*T2^11 - 
     315*T1^7*T2^11 + 155*T1^8*T2^11 + 155*T1^9*T2^11 - 315*T1^10*T2^11 + 
     180*T1^11*T2^11 - 45*T1^12*T2^11 + 9*T1^6*T2^12 - 45*T1^7*T2^12 + 
     108*T1^8*T2^12 - 139*T1^9*T2^12 + 108*T1^10*T2^12 - 45*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   (1 - 5*T1 + 14*T1^2 - 19*T1^3 + 14*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     18*T1*T2 - 38*T1^2*T2 + 19*T1^3*T2 + 19*T1^4*T2 - 38*T1^5*T2 + 
     18*T1^6*T2 - 5*T1^7*T2 + 14*T2^2 - 38*T1*T2^2 + 56*T1^2*T2^2 + 
     31*T1^3*T2^2 - 62*T1^4*T2^2 + 31*T1^5*T2^2 + 56*T1^6*T2^2 - 
     38*T1^7*T2^2 + 14*T1^8*T2^2 - 19*T2^3 + 19*T1*T2^3 + 31*T1^2*T2^3 - 
     204*T1^3*T2^3 + 69*T1^4*T2^3 + 69*T1^5*T2^3 - 204*T1^6*T2^3 + 
     31*T1^7*T2^3 + 19*T1^8*T2^3 - 19*T1^9*T2^3 + 14*T2^4 + 19*T1*T2^4 - 
     62*T1^2*T2^4 + 69*T1^3*T2^4 + 442*T1^4*T2^4 - 506*T1^5*T2^4 + 
     442*T1^6*T2^4 + 69*T1^7*T2^4 - 62*T1^8*T2^4 + 19*T1^9*T2^4 + 
     14*T1^10*T2^4 - 5*T2^5 - 38*T1*T2^5 + 31*T1^2*T2^5 + 69*T1^3*T2^5 - 
     506*T1^4*T2^5 + 88*T1^5*T2^5 + 88*T1^6*T2^5 - 506*T1^7*T2^5 + 
     69*T1^8*T2^5 + 31*T1^9*T2^5 - 38*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     18*T1*T2^6 + 56*T1^2*T2^6 - 204*T1^3*T2^6 + 442*T1^4*T2^6 + 
     88*T1^5*T2^6 + 36*T1^6*T2^6 + 88*T1^7*T2^6 + 442*T1^8*T2^6 - 
     204*T1^9*T2^6 + 56*T1^10*T2^6 + 18*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     38*T1^2*T2^7 + 31*T1^3*T2^7 + 69*T1^4*T2^7 - 506*T1^5*T2^7 + 
     88*T1^6*T2^7 + 88*T1^7*T2^7 - 506*T1^8*T2^7 + 69*T1^9*T2^7 + 
     31*T1^10*T2^7 - 38*T1^11*T2^7 - 5*T1^12*T2^7 + 14*T1^2*T2^8 + 
     19*T1^3*T2^8 - 62*T1^4*T2^8 + 69*T1^5*T2^8 + 442*T1^6*T2^8 - 
     506*T1^7*T2^8 + 442*T1^8*T2^8 + 69*T1^9*T2^8 - 62*T1^10*T2^8 + 
     19*T1^11*T2^8 + 14*T1^12*T2^8 - 19*T1^3*T2^9 + 19*T1^4*T2^9 + 
     31*T1^5*T2^9 - 204*T1^6*T2^9 + 69*T1^7*T2^9 + 69*T1^8*T2^9 - 
     204*T1^9*T2^9 + 31*T1^10*T2^9 + 19*T1^11*T2^9 - 19*T1^12*T2^9 + 
     14*T1^4*T2^10 - 38*T1^5*T2^10 + 56*T1^6*T2^10 + 31*T1^7*T2^10 - 
     62*T1^8*T2^10 + 31*T1^9*T2^10 + 56*T1^10*T2^10 - 38*T1^11*T2^10 + 
     14*T1^12*T2^10 - 5*T1^5*T2^11 + 18*T1^6*T2^11 - 38*T1^7*T2^11 + 
     19*T1^8*T2^11 + 19*T1^9*T2^11 - 38*T1^10*T2^11 + 18*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 14*T1^8*T2^12 - 
     19*T1^9*T2^12 + 14*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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), -((1 - 6*T1 + 18*T1^2 - 33*T1^3 + 39*T1^4 - 33*T1^5 + 18*T1^6 - 
      6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 72*T1^2*T2 + 90*T1^3*T2 - 
      36*T1^4*T2 - 36*T1^5*T2 + 90*T1^6*T2 - 72*T1^7*T2 + 30*T1^8*T2 - 
      6*T1^9*T2 + 18*T2^2 - 72*T1*T2^2 + 125*T1^2*T2^2 - 49*T1^3*T2^2 - 
      176*T1^4*T2^2 + 237*T1^5*T2^2 - 176*T1^6*T2^2 - 49*T1^7*T2^2 + 
      125*T1^8*T2^2 - 72*T1^9*T2^2 + 18*T1^10*T2^2 - 33*T2^3 + 90*T1*T2^3 - 
      49*T1^2*T2^3 - 258*T1^3*T2^3 + 568*T1^4*T2^3 - 183*T1^5*T2^3 - 
      183*T1^6*T2^3 + 568*T1^7*T2^3 - 258*T1^8*T2^3 - 49*T1^9*T2^3 + 
      90*T1^10*T2^3 - 33*T1^11*T2^3 + 39*T2^4 - 36*T1*T2^4 - 176*T1^2*T2^4 + 
      568*T1^3*T2^4 - 380*T1^4*T2^4 - 927*T1^5*T2^4 + 1092*T1^6*T2^4 - 
      927*T1^7*T2^4 - 380*T1^8*T2^4 + 568*T1^9*T2^4 - 176*T1^10*T2^4 - 
      36*T1^11*T2^4 + 39*T1^12*T2^4 - 33*T2^5 - 36*T1*T2^5 + 237*T1^2*T2^5 - 
      183*T1^3*T2^5 - 927*T1^4*T2^5 + 2340*T1^5*T2^5 - 648*T1^6*T2^5 - 
      648*T1^7*T2^5 + 2340*T1^8*T2^5 - 927*T1^9*T2^5 - 183*T1^10*T2^5 + 
      237*T1^11*T2^5 - 36*T1^12*T2^5 - 33*T1^13*T2^5 + 18*T2^6 + 90*T1*T2^6 - 
      176*T1^2*T2^6 - 183*T1^3*T2^6 + 1092*T1^4*T2^6 - 648*T1^5*T2^6 - 
      3189*T1^6*T2^6 + 3571*T1^7*T2^6 - 3189*T1^8*T2^6 - 648*T1^9*T2^6 + 
      1092*T1^10*T2^6 - 183*T1^11*T2^6 - 176*T1^12*T2^6 + 90*T1^13*T2^6 + 
      18*T1^14*T2^6 - 6*T2^7 - 72*T1*T2^7 - 49*T1^2*T2^7 + 568*T1^3*T2^7 - 
      927*T1^4*T2^7 - 648*T1^5*T2^7 + 3571*T1^6*T2^7 - 848*T1^7*T2^7 - 
      848*T1^8*T2^7 + 3571*T1^9*T2^7 - 648*T1^10*T2^7 - 927*T1^11*T2^7 + 
      568*T1^12*T2^7 - 49*T1^13*T2^7 - 72*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 
      30*T1*T2^8 + 125*T1^2*T2^8 - 258*T1^3*T2^8 - 380*T1^4*T2^8 + 
      2340*T1^5*T2^8 - 3189*T1^6*T2^8 - 848*T1^7*T2^8 + 888*T1^8*T2^8 - 
      848*T1^9*T2^8 - 3189*T1^10*T2^8 + 2340*T1^11*T2^8 - 380*T1^12*T2^8 - 
      258*T1^13*T2^8 + 125*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 
      6*T1*T2^9 - 72*T1^2*T2^9 - 49*T1^3*T2^9 + 568*T1^4*T2^9 - 
      927*T1^5*T2^9 - 648*T1^6*T2^9 + 3571*T1^7*T2^9 - 848*T1^8*T2^9 - 
      848*T1^9*T2^9 + 3571*T1^10*T2^9 - 648*T1^11*T2^9 - 927*T1^12*T2^9 + 
      568*T1^13*T2^9 - 49*T1^14*T2^9 - 72*T1^15*T2^9 - 6*T1^16*T2^9 + 
      18*T1^2*T2^10 + 90*T1^3*T2^10 - 176*T1^4*T2^10 - 183*T1^5*T2^10 + 
      1092*T1^6*T2^10 - 648*T1^7*T2^10 - 3189*T1^8*T2^10 + 3571*T1^9*T2^10 - 
      3189*T1^10*T2^10 - 648*T1^11*T2^10 + 1092*T1^12*T2^10 - 
      183*T1^13*T2^10 - 176*T1^14*T2^10 + 90*T1^15*T2^10 + 18*T1^16*T2^10 - 
      33*T1^3*T2^11 - 36*T1^4*T2^11 + 237*T1^5*T2^11 - 183*T1^6*T2^11 - 
      927*T1^7*T2^11 + 2340*T1^8*T2^11 - 648*T1^9*T2^11 - 648*T1^10*T2^11 + 
      2340*T1^11*T2^11 - 927*T1^12*T2^11 - 183*T1^13*T2^11 + 
      237*T1^14*T2^11 - 36*T1^15*T2^11 - 33*T1^16*T2^11 + 39*T1^4*T2^12 - 
      36*T1^5*T2^12 - 176*T1^6*T2^12 + 568*T1^7*T2^12 - 380*T1^8*T2^12 - 
      927*T1^9*T2^12 + 1092*T1^10*T2^12 - 927*T1^11*T2^12 - 380*T1^12*T2^12 + 
      568*T1^13*T2^12 - 176*T1^14*T2^12 - 36*T1^15*T2^12 + 39*T1^16*T2^12 - 
      33*T1^5*T2^13 + 90*T1^6*T2^13 - 49*T1^7*T2^13 - 258*T1^8*T2^13 + 
      568*T1^9*T2^13 - 183*T1^10*T2^13 - 183*T1^11*T2^13 + 568*T1^12*T2^13 - 
      258*T1^13*T2^13 - 49*T1^14*T2^13 + 90*T1^15*T2^13 - 33*T1^16*T2^13 + 
      18*T1^6*T2^14 - 72*T1^7*T2^14 + 125*T1^8*T2^14 - 49*T1^9*T2^14 - 
      176*T1^10*T2^14 + 237*T1^11*T2^14 - 176*T1^12*T2^14 - 49*T1^13*T2^14 + 
      125*T1^14*T2^14 - 72*T1^15*T2^14 + 18*T1^16*T2^14 - 6*T1^7*T2^15 + 
      30*T1^8*T2^15 - 72*T1^9*T2^15 + 90*T1^10*T2^15 - 36*T1^11*T2^15 - 
      36*T1^12*T2^15 + 90*T1^13*T2^15 - 72*T1^14*T2^15 + 30*T1^15*T2^15 - 
      6*T1^16*T2^15 + T1^8*T2^16 - 6*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 - 
      6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   (1 - 5*T1 + 13*T1^2 - 17*T1^3 + 13*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 40*T1^2*T2 + 19*T1^3*T2 + 19*T1^4*T2 - 40*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 13*T2^2 - 40*T1*T2^2 + 58*T1^2*T2^2 + 
     31*T1^3*T2^2 - 60*T1^4*T2^2 + 31*T1^5*T2^2 + 58*T1^6*T2^2 - 
     40*T1^7*T2^2 + 13*T1^8*T2^2 - 17*T2^3 + 19*T1*T2^3 + 31*T1^2*T2^3 - 
     204*T1^3*T2^3 + 67*T1^4*T2^3 + 67*T1^5*T2^3 - 204*T1^6*T2^3 + 
     31*T1^7*T2^3 + 19*T1^8*T2^3 - 17*T1^9*T2^3 + 13*T2^4 + 19*T1*T2^4 - 
     60*T1^2*T2^4 + 67*T1^3*T2^4 + 442*T1^4*T2^4 - 504*T1^5*T2^4 + 
     442*T1^6*T2^4 + 67*T1^7*T2^4 - 60*T1^8*T2^4 + 19*T1^9*T2^4 + 
     13*T1^10*T2^4 - 5*T2^5 - 40*T1*T2^5 + 31*T1^2*T2^5 + 67*T1^3*T2^5 - 
     504*T1^4*T2^5 + 90*T1^5*T2^5 + 90*T1^6*T2^5 - 504*T1^7*T2^5 + 
     67*T1^8*T2^5 + 31*T1^9*T2^5 - 40*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 + 58*T1^2*T2^6 - 204*T1^3*T2^6 + 442*T1^4*T2^6 + 
     90*T1^5*T2^6 + 24*T1^6*T2^6 + 90*T1^7*T2^6 + 442*T1^8*T2^6 - 
     204*T1^9*T2^6 + 58*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     40*T1^2*T2^7 + 31*T1^3*T2^7 + 67*T1^4*T2^7 - 504*T1^5*T2^7 + 
     90*T1^6*T2^7 + 90*T1^7*T2^7 - 504*T1^8*T2^7 + 67*T1^9*T2^7 + 
     31*T1^10*T2^7 - 40*T1^11*T2^7 - 5*T1^12*T2^7 + 13*T1^2*T2^8 + 
     19*T1^3*T2^8 - 60*T1^4*T2^8 + 67*T1^5*T2^8 + 442*T1^6*T2^8 - 
     504*T1^7*T2^8 + 442*T1^8*T2^8 + 67*T1^9*T2^8 - 60*T1^10*T2^8 + 
     19*T1^11*T2^8 + 13*T1^12*T2^8 - 17*T1^3*T2^9 + 19*T1^4*T2^9 + 
     31*T1^5*T2^9 - 204*T1^6*T2^9 + 67*T1^7*T2^9 + 67*T1^8*T2^9 - 
     204*T1^9*T2^9 + 31*T1^10*T2^9 + 19*T1^11*T2^9 - 17*T1^12*T2^9 + 
     13*T1^4*T2^10 - 40*T1^5*T2^10 + 58*T1^6*T2^10 + 31*T1^7*T2^10 - 
     60*T1^8*T2^10 + 31*T1^9*T2^10 + 58*T1^10*T2^10 - 40*T1^11*T2^10 + 
     13*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 40*T1^7*T2^11 + 
     19*T1^8*T2^11 + 19*T1^9*T2^11 - 40*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 13*T1^8*T2^12 - 
     17*T1^9*T2^12 + 13*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 27] -> 
  {(2 - 13*T + 34*T^2 - 45*T^3 + 34*T^4 - 13*T^5 + 2*T^6)/T^3, 
   -((9 - 58*T1 + 150*T1^2 - 197*T1^3 + 150*T1^4 - 58*T1^5 + 9*T1^6 - 58*T2 + 
      316*T1*T2 - 594*T1^2*T2 + 304*T1^3*T2 + 304*T1^4*T2 - 594*T1^5*T2 + 
      316*T1^6*T2 - 58*T1^7*T2 + 150*T2^2 - 594*T1*T2^2 + 235*T1^2*T2^2 + 
      2029*T1^3*T2^2 - 3267*T1^4*T2^2 + 2029*T1^5*T2^2 + 235*T1^6*T2^2 - 
      594*T1^7*T2^2 + 150*T1^8*T2^2 - 197*T2^3 + 304*T1*T2^3 + 
      2029*T1^2*T2^3 - 5954*T1^3*T2^3 + 3175*T1^4*T2^3 + 3175*T1^5*T2^3 - 
      5954*T1^6*T2^3 + 2029*T1^7*T2^3 + 304*T1^8*T2^3 - 197*T1^9*T2^3 + 
      150*T2^4 + 304*T1*T2^4 - 3267*T1^2*T2^4 + 3175*T1^3*T2^4 + 
      8708*T1^4*T2^4 - 15220*T1^5*T2^4 + 8708*T1^6*T2^4 + 3175*T1^7*T2^4 - 
      3267*T1^8*T2^4 + 304*T1^9*T2^4 + 150*T1^10*T2^4 - 58*T2^5 - 
      594*T1*T2^5 + 2029*T1^2*T2^5 + 3175*T1^3*T2^5 - 15220*T1^4*T2^5 + 
      8340*T1^5*T2^5 + 8340*T1^6*T2^5 - 15220*T1^7*T2^5 + 3175*T1^8*T2^5 + 
      2029*T1^9*T2^5 - 594*T1^10*T2^5 - 58*T1^11*T2^5 + 9*T2^6 + 
      316*T1*T2^6 + 235*T1^2*T2^6 - 5954*T1^3*T2^6 + 8708*T1^4*T2^6 + 
      8340*T1^5*T2^6 - 17892*T1^6*T2^6 + 8340*T1^7*T2^6 + 8708*T1^8*T2^6 - 
      5954*T1^9*T2^6 + 235*T1^10*T2^6 + 316*T1^11*T2^6 + 9*T1^12*T2^6 - 
      58*T1*T2^7 - 594*T1^2*T2^7 + 2029*T1^3*T2^7 + 3175*T1^4*T2^7 - 
      15220*T1^5*T2^7 + 8340*T1^6*T2^7 + 8340*T1^7*T2^7 - 15220*T1^8*T2^7 + 
      3175*T1^9*T2^7 + 2029*T1^10*T2^7 - 594*T1^11*T2^7 - 58*T1^12*T2^7 + 
      150*T1^2*T2^8 + 304*T1^3*T2^8 - 3267*T1^4*T2^8 + 3175*T1^5*T2^8 + 
      8708*T1^6*T2^8 - 15220*T1^7*T2^8 + 8708*T1^8*T2^8 + 3175*T1^9*T2^8 - 
      3267*T1^10*T2^8 + 304*T1^11*T2^8 + 150*T1^12*T2^8 - 197*T1^3*T2^9 + 
      304*T1^4*T2^9 + 2029*T1^5*T2^9 - 5954*T1^6*T2^9 + 3175*T1^7*T2^9 + 
      3175*T1^8*T2^9 - 5954*T1^9*T2^9 + 2029*T1^10*T2^9 + 304*T1^11*T2^9 - 
      197*T1^12*T2^9 + 150*T1^4*T2^10 - 594*T1^5*T2^10 + 235*T1^6*T2^10 + 
      2029*T1^7*T2^10 - 3267*T1^8*T2^10 + 2029*T1^9*T2^10 + 235*T1^10*T2^10 - 
      594*T1^11*T2^10 + 150*T1^12*T2^10 - 58*T1^5*T2^11 + 316*T1^6*T2^11 - 
      594*T1^7*T2^11 + 304*T1^8*T2^11 + 304*T1^9*T2^11 - 594*T1^10*T2^11 + 
      316*T1^11*T2^11 - 58*T1^12*T2^11 + 9*T1^6*T2^12 - 58*T1^7*T2^12 + 
      150*T1^8*T2^12 - 197*T1^9*T2^12 + 150*T1^10*T2^12 - 58*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, Alternating, 28] -> 
  {(1 - 3*T + 3*T^2 - 3*T^3 + T^4)^2/T^4, 
   (T1 - 3*T1^2 + 4*T1^3 - 3*T1^4 + T1^5 + T2 - 10*T1*T2 + 20*T1^2*T2 - 
     10*T1^3*T2 - 10*T1^4*T2 + 20*T1^5*T2 - 10*T1^6*T2 + T1^7*T2 - 3*T2^2 + 
     20*T1*T2^2 - 101*T1^3*T2^2 + 146*T1^4*T2^2 - 101*T1^5*T2^2 + 
     20*T1^7*T2^2 - 3*T1^8*T2^2 + 4*T2^3 - 10*T1*T2^3 - 101*T1^2*T2^3 + 
     268*T1^3*T2^3 - 113*T1^4*T2^3 - 113*T1^5*T2^3 + 268*T1^6*T2^3 - 
     101*T1^7*T2^3 - 10*T1^8*T2^3 + 4*T1^9*T2^3 - 3*T2^4 - 10*T1*T2^4 + 
     146*T1^2*T2^4 - 113*T1^3*T2^4 - 400*T1^4*T2^4 + 524*T1^5*T2^4 - 
     400*T1^6*T2^4 - 113*T1^7*T2^4 + 146*T1^8*T2^4 - 10*T1^9*T2^4 - 
     3*T1^10*T2^4 + T2^5 + 20*T1*T2^5 - 101*T1^2*T2^5 - 113*T1^3*T2^5 + 
     524*T1^4*T2^5 - 138*T1^5*T2^5 - 138*T1^6*T2^5 + 524*T1^7*T2^5 - 
     113*T1^8*T2^5 - 101*T1^9*T2^5 + 20*T1^10*T2^5 + T1^11*T2^5 - 
     10*T1*T2^6 + 268*T1^3*T2^6 - 400*T1^4*T2^6 - 138*T1^5*T2^6 + 
     108*T1^6*T2^6 - 138*T1^7*T2^6 - 400*T1^8*T2^6 + 268*T1^9*T2^6 - 
     10*T1^11*T2^6 + T1*T2^7 + 20*T1^2*T2^7 - 101*T1^3*T2^7 - 113*T1^4*T2^7 + 
     524*T1^5*T2^7 - 138*T1^6*T2^7 - 138*T1^7*T2^7 + 524*T1^8*T2^7 - 
     113*T1^9*T2^7 - 101*T1^10*T2^7 + 20*T1^11*T2^7 + T1^12*T2^7 - 
     3*T1^2*T2^8 - 10*T1^3*T2^8 + 146*T1^4*T2^8 - 113*T1^5*T2^8 - 
     400*T1^6*T2^8 + 524*T1^7*T2^8 - 400*T1^8*T2^8 - 113*T1^9*T2^8 + 
     146*T1^10*T2^8 - 10*T1^11*T2^8 - 3*T1^12*T2^8 + 4*T1^3*T2^9 - 
     10*T1^4*T2^9 - 101*T1^5*T2^9 + 268*T1^6*T2^9 - 113*T1^7*T2^9 - 
     113*T1^8*T2^9 + 268*T1^9*T2^9 - 101*T1^10*T2^9 - 10*T1^11*T2^9 + 
     4*T1^12*T2^9 - 3*T1^4*T2^10 + 20*T1^5*T2^10 - 101*T1^7*T2^10 + 
     146*T1^8*T2^10 - 101*T1^9*T2^10 + 20*T1^11*T2^10 - 3*T1^12*T2^10 + 
     T1^5*T2^11 - 10*T1^6*T2^11 + 20*T1^7*T2^11 - 10*T1^8*T2^11 - 
     10*T1^9*T2^11 + 20*T1^10*T2^11 - 10*T1^11*T2^11 + T1^12*T2^11 + 
     T1^7*T2^12 - 3*T1^8*T2^12 + 4*T1^9*T2^12 - 3*T1^10*T2^12 + T1^11*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 29] -> 
  {((1 - 3*T + T^2)*(2 - 6*T + 7*T^2 - 6*T^3 + 2*T^4))/T^3, 
   -((7 - 42*T1 + 94*T1^2 - 115*T1^3 + 94*T1^4 - 42*T1^5 + 7*T1^6 - 42*T2 + 
      210*T1*T2 - 312*T1^2*T2 + 126*T1^3*T2 + 126*T1^4*T2 - 312*T1^5*T2 + 
      210*T1^6*T2 - 42*T1^7*T2 + 94*T2^2 - 312*T1*T2^2 - 148*T1^2*T2^2 + 
      1257*T1^3*T2^2 - 1604*T1^4*T2^2 + 1257*T1^5*T2^2 - 148*T1^6*T2^2 - 
      312*T1^7*T2^2 + 94*T1^8*T2^2 - 115*T2^3 + 126*T1*T2^3 + 
      1257*T1^2*T2^3 - 2430*T1^3*T2^3 + 919*T1^4*T2^3 + 919*T1^5*T2^3 - 
      2430*T1^6*T2^3 + 1257*T1^7*T2^3 + 126*T1^8*T2^3 - 115*T1^9*T2^3 + 
      94*T2^4 + 126*T1*T2^4 - 1604*T1^2*T2^4 + 919*T1^3*T2^4 + 
      2960*T1^4*T2^4 - 4140*T1^5*T2^4 + 2960*T1^6*T2^4 + 919*T1^7*T2^4 - 
      1604*T1^8*T2^4 + 126*T1^9*T2^4 + 94*T1^10*T2^4 - 42*T2^5 - 
      312*T1*T2^5 + 1257*T1^2*T2^5 + 919*T1^3*T2^5 - 4140*T1^4*T2^5 + 
      1774*T1^5*T2^5 + 1774*T1^6*T2^5 - 4140*T1^7*T2^5 + 919*T1^8*T2^5 + 
      1257*T1^9*T2^5 - 312*T1^10*T2^5 - 42*T1^11*T2^5 + 7*T2^6 + 
      210*T1*T2^6 - 148*T1^2*T2^6 - 2430*T1^3*T2^6 + 2960*T1^4*T2^6 + 
      1774*T1^5*T2^6 - 3588*T1^6*T2^6 + 1774*T1^7*T2^6 + 2960*T1^8*T2^6 - 
      2430*T1^9*T2^6 - 148*T1^10*T2^6 + 210*T1^11*T2^6 + 7*T1^12*T2^6 - 
      42*T1*T2^7 - 312*T1^2*T2^7 + 1257*T1^3*T2^7 + 919*T1^4*T2^7 - 
      4140*T1^5*T2^7 + 1774*T1^6*T2^7 + 1774*T1^7*T2^7 - 4140*T1^8*T2^7 + 
      919*T1^9*T2^7 + 1257*T1^10*T2^7 - 312*T1^11*T2^7 - 42*T1^12*T2^7 + 
      94*T1^2*T2^8 + 126*T1^3*T2^8 - 1604*T1^4*T2^8 + 919*T1^5*T2^8 + 
      2960*T1^6*T2^8 - 4140*T1^7*T2^8 + 2960*T1^8*T2^8 + 919*T1^9*T2^8 - 
      1604*T1^10*T2^8 + 126*T1^11*T2^8 + 94*T1^12*T2^8 - 115*T1^3*T2^9 + 
      126*T1^4*T2^9 + 1257*T1^5*T2^9 - 2430*T1^6*T2^9 + 919*T1^7*T2^9 + 
      919*T1^8*T2^9 - 2430*T1^9*T2^9 + 1257*T1^10*T2^9 + 126*T1^11*T2^9 - 
      115*T1^12*T2^9 + 94*T1^4*T2^10 - 312*T1^5*T2^10 - 148*T1^6*T2^10 + 
      1257*T1^7*T2^10 - 1604*T1^8*T2^10 + 1257*T1^9*T2^10 - 148*T1^10*T2^10 - 
      312*T1^11*T2^10 + 94*T1^12*T2^10 - 42*T1^5*T2^11 + 210*T1^6*T2^11 - 
      312*T1^7*T2^11 + 126*T1^8*T2^11 + 126*T1^9*T2^11 - 312*T1^10*T2^11 + 
      210*T1^11*T2^11 - 42*T1^12*T2^11 + 7*T1^6*T2^12 - 42*T1^7*T2^12 + 
      94*T1^8*T2^12 - 115*T1^9*T2^12 + 94*T1^10*T2^12 - 42*T1^11*T2^12 + 
      7*T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, Alternating, 30] -> 
  {-((2 - 13*T + 35*T^2 - 49*T^3 + 35*T^4 - 13*T^5 + 2*T^6)/T^3), 
   -((1 - 5*T1 + 12*T1^2 - 17*T1^3 + 12*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
      18*T1*T2 - 28*T1^2*T2 + 20*T1^3*T2 + 20*T1^4*T2 - 28*T1^5*T2 + 
      18*T1^6*T2 - 5*T1^7*T2 + 12*T2^2 - 28*T1*T2^2 + 22*T1^2*T2^2 - 
      5*T1^3*T2^2 - 52*T1^4*T2^2 - 5*T1^5*T2^2 + 22*T1^6*T2^2 - 
      28*T1^7*T2^2 + 12*T1^8*T2^2 - 17*T2^3 + 20*T1*T2^3 - 5*T1^2*T2^3 + 
      24*T1^3*T2^3 + 63*T1^4*T2^3 + 63*T1^5*T2^3 + 24*T1^6*T2^3 - 
      5*T1^7*T2^3 + 20*T1^8*T2^3 - 17*T1^9*T2^3 + 12*T2^4 + 20*T1*T2^4 - 
      52*T1^2*T2^4 + 63*T1^3*T2^4 - 258*T1^4*T2^4 + 16*T1^5*T2^4 - 
      258*T1^6*T2^4 + 63*T1^7*T2^4 - 52*T1^8*T2^4 + 20*T1^9*T2^4 + 
      12*T1^10*T2^4 - 5*T2^5 - 28*T1*T2^5 - 5*T1^2*T2^5 + 63*T1^3*T2^5 + 
      16*T1^4*T2^5 + 316*T1^5*T2^5 + 316*T1^6*T2^5 + 16*T1^7*T2^5 + 
      63*T1^8*T2^5 - 5*T1^9*T2^5 - 28*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
      18*T1*T2^6 + 22*T1^2*T2^6 + 24*T1^3*T2^6 - 258*T1^4*T2^6 + 
      316*T1^5*T2^6 - 1104*T1^6*T2^6 + 316*T1^7*T2^6 - 258*T1^8*T2^6 + 
      24*T1^9*T2^6 + 22*T1^10*T2^6 + 18*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
      28*T1^2*T2^7 - 5*T1^3*T2^7 + 63*T1^4*T2^7 + 16*T1^5*T2^7 + 
      316*T1^6*T2^7 + 316*T1^7*T2^7 + 16*T1^8*T2^7 + 63*T1^9*T2^7 - 
      5*T1^10*T2^7 - 28*T1^11*T2^7 - 5*T1^12*T2^7 + 12*T1^2*T2^8 + 
      20*T1^3*T2^8 - 52*T1^4*T2^8 + 63*T1^5*T2^8 - 258*T1^6*T2^8 + 
      16*T1^7*T2^8 - 258*T1^8*T2^8 + 63*T1^9*T2^8 - 52*T1^10*T2^8 + 
      20*T1^11*T2^8 + 12*T1^12*T2^8 - 17*T1^3*T2^9 + 20*T1^4*T2^9 - 
      5*T1^5*T2^9 + 24*T1^6*T2^9 + 63*T1^7*T2^9 + 63*T1^8*T2^9 + 
      24*T1^9*T2^9 - 5*T1^10*T2^9 + 20*T1^11*T2^9 - 17*T1^12*T2^9 + 
      12*T1^4*T2^10 - 28*T1^5*T2^10 + 22*T1^6*T2^10 - 5*T1^7*T2^10 - 
      52*T1^8*T2^10 - 5*T1^9*T2^10 + 22*T1^10*T2^10 - 28*T1^11*T2^10 + 
      12*T1^12*T2^10 - 5*T1^5*T2^11 + 18*T1^6*T2^11 - 28*T1^7*T2^11 + 
      20*T1^8*T2^11 + 20*T1^9*T2^11 - 28*T1^10*T2^11 + 18*T1^11*T2^11 - 
      5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 12*T1^8*T2^12 - 
      17*T1^9*T2^12 + 12*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[11, Alternating, 31] -> 
  {-((3 - 14*T + 28*T^2 - 35*T^3 + 28*T^4 - 14*T^5 + 3*T^6)/T^3), 
   -((57 - 262*T1 + 516*T1^2 - 643*T1^3 + 516*T1^4 - 262*T1^5 + 57*T1^6 - 
      262*T2 + 946*T1*T2 - 1179*T1^2*T2 + 590*T1^3*T2 + 590*T1^4*T2 - 
      1179*T1^5*T2 + 946*T1^6*T2 - 262*T1^7*T2 + 516*T2^2 - 1179*T1*T2^2 - 
      343*T1^2*T2^2 + 2834*T1^3*T2^2 - 4433*T1^4*T2^2 + 2834*T1^5*T2^2 - 
      343*T1^6*T2^2 - 1179*T1^7*T2^2 + 516*T1^8*T2^2 - 643*T2^3 + 
      590*T1*T2^3 + 2834*T1^2*T2^3 - 4464*T1^3*T2^3 + 2675*T1^4*T2^3 + 
      2675*T1^5*T2^3 - 4464*T1^6*T2^3 + 2834*T1^7*T2^3 + 590*T1^8*T2^3 - 
      643*T1^9*T2^3 + 516*T2^4 + 590*T1*T2^4 - 4433*T1^2*T2^4 + 
      2675*T1^3*T2^4 + 1736*T1^4*T2^4 - 5792*T1^5*T2^4 + 1736*T1^6*T2^4 + 
      2675*T1^7*T2^4 - 4433*T1^8*T2^4 + 590*T1^9*T2^4 + 516*T1^10*T2^4 - 
      262*T2^5 - 1179*T1*T2^5 + 2834*T1^2*T2^5 + 2675*T1^3*T2^5 - 
      5792*T1^4*T2^5 + 4262*T1^5*T2^5 + 4262*T1^6*T2^5 - 5792*T1^7*T2^5 + 
      2675*T1^8*T2^5 + 2834*T1^9*T2^5 - 1179*T1^10*T2^5 - 262*T1^11*T2^5 + 
      57*T2^6 + 946*T1*T2^6 - 343*T1^2*T2^6 - 4464*T1^3*T2^6 + 
      1736*T1^4*T2^6 + 4262*T1^5*T2^6 - 10044*T1^6*T2^6 + 4262*T1^7*T2^6 + 
      1736*T1^8*T2^6 - 4464*T1^9*T2^6 - 343*T1^10*T2^6 + 946*T1^11*T2^6 + 
      57*T1^12*T2^6 - 262*T1*T2^7 - 1179*T1^2*T2^7 + 2834*T1^3*T2^7 + 
      2675*T1^4*T2^7 - 5792*T1^5*T2^7 + 4262*T1^6*T2^7 + 4262*T1^7*T2^7 - 
      5792*T1^8*T2^7 + 2675*T1^9*T2^7 + 2834*T1^10*T2^7 - 1179*T1^11*T2^7 - 
      262*T1^12*T2^7 + 516*T1^2*T2^8 + 590*T1^3*T2^8 - 4433*T1^4*T2^8 + 
      2675*T1^5*T2^8 + 1736*T1^6*T2^8 - 5792*T1^7*T2^8 + 1736*T1^8*T2^8 + 
      2675*T1^9*T2^8 - 4433*T1^10*T2^8 + 590*T1^11*T2^8 + 516*T1^12*T2^8 - 
      643*T1^3*T2^9 + 590*T1^4*T2^9 + 2834*T1^5*T2^9 - 4464*T1^6*T2^9 + 
      2675*T1^7*T2^9 + 2675*T1^8*T2^9 - 4464*T1^9*T2^9 + 2834*T1^10*T2^9 + 
      590*T1^11*T2^9 - 643*T1^12*T2^9 + 516*T1^4*T2^10 - 1179*T1^5*T2^10 - 
      343*T1^6*T2^10 + 2834*T1^7*T2^10 - 4433*T1^8*T2^10 + 2834*T1^9*T2^10 - 
      343*T1^10*T2^10 - 1179*T1^11*T2^10 + 516*T1^12*T2^10 - 262*T1^5*T2^11 + 
      946*T1^6*T2^11 - 1179*T1^7*T2^11 + 590*T1^8*T2^11 + 590*T1^9*T2^11 - 
      1179*T1^10*T2^11 + 946*T1^11*T2^11 - 262*T1^12*T2^11 + 57*T1^6*T2^12 - 
      262*T1^7*T2^12 + 516*T1^8*T2^12 - 643*T1^9*T2^12 + 516*T1^10*T2^12 - 
      262*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, Alternating, 32] -> 
  {(3 - 14*T + 32*T^2 - 41*T^3 + 32*T^4 - 14*T^5 + 3*T^6)/T^3, 
   (30 - 136*T1 + 308*T1^2 - 392*T1^3 + 308*T1^4 - 136*T1^5 + 30*T1^6 - 
     136*T2 + 484*T1*T2 - 787*T1^2*T2 + 386*T1^3*T2 + 386*T1^4*T2 - 
     787*T1^5*T2 + 484*T1^6*T2 - 136*T1^7*T2 + 308*T2^2 - 787*T1*T2^2 + 
     669*T1^2*T2^2 + 973*T1^3*T2^2 - 1853*T1^4*T2^2 + 973*T1^5*T2^2 + 
     669*T1^6*T2^2 - 787*T1^7*T2^2 + 308*T1^8*T2^2 - 392*T2^3 + 386*T1*T2^3 + 
     973*T1^2*T2^3 - 3470*T1^3*T2^3 + 1826*T1^4*T2^3 + 1826*T1^5*T2^3 - 
     3470*T1^6*T2^3 + 973*T1^7*T2^3 + 386*T1^8*T2^3 - 392*T1^9*T2^3 + 
     308*T2^4 + 386*T1*T2^4 - 1853*T1^2*T2^4 + 1826*T1^3*T2^4 + 
     4860*T1^4*T2^4 - 8318*T1^5*T2^4 + 4860*T1^6*T2^4 + 1826*T1^7*T2^4 - 
     1853*T1^8*T2^4 + 386*T1^9*T2^4 + 308*T1^10*T2^4 - 136*T2^5 - 
     787*T1*T2^5 + 973*T1^2*T2^5 + 1826*T1^3*T2^5 - 8318*T1^4*T2^5 + 
     4392*T1^5*T2^5 + 4392*T1^6*T2^5 - 8318*T1^7*T2^5 + 1826*T1^8*T2^5 + 
     973*T1^9*T2^5 - 787*T1^10*T2^5 - 136*T1^11*T2^5 + 30*T2^6 + 
     484*T1*T2^6 + 669*T1^2*T2^6 - 3470*T1^3*T2^6 + 4860*T1^4*T2^6 + 
     4392*T1^5*T2^6 - 9252*T1^6*T2^6 + 4392*T1^7*T2^6 + 4860*T1^8*T2^6 - 
     3470*T1^9*T2^6 + 669*T1^10*T2^6 + 484*T1^11*T2^6 + 30*T1^12*T2^6 - 
     136*T1*T2^7 - 787*T1^2*T2^7 + 973*T1^3*T2^7 + 1826*T1^4*T2^7 - 
     8318*T1^5*T2^7 + 4392*T1^6*T2^7 + 4392*T1^7*T2^7 - 8318*T1^8*T2^7 + 
     1826*T1^9*T2^7 + 973*T1^10*T2^7 - 787*T1^11*T2^7 - 136*T1^12*T2^7 + 
     308*T1^2*T2^8 + 386*T1^3*T2^8 - 1853*T1^4*T2^8 + 1826*T1^5*T2^8 + 
     4860*T1^6*T2^8 - 8318*T1^7*T2^8 + 4860*T1^8*T2^8 + 1826*T1^9*T2^8 - 
     1853*T1^10*T2^8 + 386*T1^11*T2^8 + 308*T1^12*T2^8 - 392*T1^3*T2^9 + 
     386*T1^4*T2^9 + 973*T1^5*T2^9 - 3470*T1^6*T2^9 + 1826*T1^7*T2^9 + 
     1826*T1^8*T2^9 - 3470*T1^9*T2^9 + 973*T1^10*T2^9 + 386*T1^11*T2^9 - 
     392*T1^12*T2^9 + 308*T1^4*T2^10 - 787*T1^5*T2^10 + 669*T1^6*T2^10 + 
     973*T1^7*T2^10 - 1853*T1^8*T2^10 + 973*T1^9*T2^10 + 669*T1^10*T2^10 - 
     787*T1^11*T2^10 + 308*T1^12*T2^10 - 136*T1^5*T2^11 + 484*T1^6*T2^11 - 
     787*T1^7*T2^11 + 386*T1^8*T2^11 + 386*T1^9*T2^11 - 787*T1^10*T2^11 + 
     484*T1^11*T2^11 - 136*T1^12*T2^11 + 30*T1^6*T2^12 - 136*T1^7*T2^12 + 
     308*T1^8*T2^12 - 392*T1^9*T2^12 + 308*T1^10*T2^12 - 136*T1^11*T2^12 + 
     30*T1^12*T2^12)/(T1^6*T2^6)}, 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), (1 - 5*T1 + 12*T1^2 - 19*T1^3 + 21*T1^4 - 19*T1^5 + 12*T1^6 - 
     5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 35*T1^2*T2 + 35*T1^3*T2 - 10*T1^4*T2 - 
     10*T1^5*T2 + 35*T1^6*T2 - 35*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
     12*T2^2 - 35*T1*T2^2 + 31*T1^2*T2^2 + 15*T1^3*T2^2 - 89*T1^4*T2^2 + 
     85*T1^5*T2^2 - 89*T1^6*T2^2 + 15*T1^7*T2^2 + 31*T1^8*T2^2 - 
     35*T1^9*T2^2 + 12*T1^10*T2^2 - 19*T2^3 + 35*T1*T2^3 + 15*T1^2*T2^3 - 
     98*T1^3*T2^3 + 154*T1^4*T2^3 - 17*T1^5*T2^3 - 17*T1^6*T2^3 + 
     154*T1^7*T2^3 - 98*T1^8*T2^3 + 15*T1^9*T2^3 + 35*T1^10*T2^3 - 
     19*T1^11*T2^3 + 21*T2^4 - 10*T1*T2^4 - 89*T1^2*T2^4 + 154*T1^3*T2^4 - 
     116*T1^4*T2^4 - 149*T1^5*T2^4 + 88*T1^6*T2^4 - 149*T1^7*T2^4 - 
     116*T1^8*T2^4 + 154*T1^9*T2^4 - 89*T1^10*T2^4 - 10*T1^11*T2^4 + 
     21*T1^12*T2^4 - 19*T2^5 - 10*T1*T2^5 + 85*T1^2*T2^5 - 17*T1^3*T2^5 - 
     149*T1^4*T2^5 + 388*T1^5*T2^5 - 56*T1^6*T2^5 - 56*T1^7*T2^5 + 
     388*T1^8*T2^5 - 149*T1^9*T2^5 - 17*T1^10*T2^5 + 85*T1^11*T2^5 - 
     10*T1^12*T2^5 - 19*T1^13*T2^5 + 12*T2^6 + 35*T1*T2^6 - 89*T1^2*T2^6 - 
     17*T1^3*T2^6 + 88*T1^4*T2^6 - 56*T1^5*T2^6 - 535*T1^6*T2^6 + 
     591*T1^7*T2^6 - 535*T1^8*T2^6 - 56*T1^9*T2^6 + 88*T1^10*T2^6 - 
     17*T1^11*T2^6 - 89*T1^12*T2^6 + 35*T1^13*T2^6 + 12*T1^14*T2^6 - 5*T2^7 - 
     35*T1*T2^7 + 15*T1^2*T2^7 + 154*T1^3*T2^7 - 149*T1^4*T2^7 - 
     56*T1^5*T2^7 + 591*T1^6*T2^7 - 242*T1^7*T2^7 - 242*T1^8*T2^7 + 
     591*T1^9*T2^7 - 56*T1^10*T2^7 - 149*T1^11*T2^7 + 154*T1^12*T2^7 + 
     15*T1^13*T2^7 - 35*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 
     31*T1^2*T2^8 - 98*T1^3*T2^8 - 116*T1^4*T2^8 + 388*T1^5*T2^8 - 
     535*T1^6*T2^8 - 242*T1^7*T2^8 + 564*T1^8*T2^8 - 242*T1^9*T2^8 - 
     535*T1^10*T2^8 + 388*T1^11*T2^8 - 116*T1^12*T2^8 - 98*T1^13*T2^8 + 
     31*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 35*T1^2*T2^9 + 
     15*T1^3*T2^9 + 154*T1^4*T2^9 - 149*T1^5*T2^9 - 56*T1^6*T2^9 + 
     591*T1^7*T2^9 - 242*T1^8*T2^9 - 242*T1^9*T2^9 + 591*T1^10*T2^9 - 
     56*T1^11*T2^9 - 149*T1^12*T2^9 + 154*T1^13*T2^9 + 15*T1^14*T2^9 - 
     35*T1^15*T2^9 - 5*T1^16*T2^9 + 12*T1^2*T2^10 + 35*T1^3*T2^10 - 
     89*T1^4*T2^10 - 17*T1^5*T2^10 + 88*T1^6*T2^10 - 56*T1^7*T2^10 - 
     535*T1^8*T2^10 + 591*T1^9*T2^10 - 535*T1^10*T2^10 - 56*T1^11*T2^10 + 
     88*T1^12*T2^10 - 17*T1^13*T2^10 - 89*T1^14*T2^10 + 35*T1^15*T2^10 + 
     12*T1^16*T2^10 - 19*T1^3*T2^11 - 10*T1^4*T2^11 + 85*T1^5*T2^11 - 
     17*T1^6*T2^11 - 149*T1^7*T2^11 + 388*T1^8*T2^11 - 56*T1^9*T2^11 - 
     56*T1^10*T2^11 + 388*T1^11*T2^11 - 149*T1^12*T2^11 - 17*T1^13*T2^11 + 
     85*T1^14*T2^11 - 10*T1^15*T2^11 - 19*T1^16*T2^11 + 21*T1^4*T2^12 - 
     10*T1^5*T2^12 - 89*T1^6*T2^12 + 154*T1^7*T2^12 - 116*T1^8*T2^12 - 
     149*T1^9*T2^12 + 88*T1^10*T2^12 - 149*T1^11*T2^12 - 116*T1^12*T2^12 + 
     154*T1^13*T2^12 - 89*T1^14*T2^12 - 10*T1^15*T2^12 + 21*T1^16*T2^12 - 
     19*T1^5*T2^13 + 35*T1^6*T2^13 + 15*T1^7*T2^13 - 98*T1^8*T2^13 + 
     154*T1^9*T2^13 - 17*T1^10*T2^13 - 17*T1^11*T2^13 + 154*T1^12*T2^13 - 
     98*T1^13*T2^13 + 15*T1^14*T2^13 + 35*T1^15*T2^13 - 19*T1^16*T2^13 + 
     12*T1^6*T2^14 - 35*T1^7*T2^14 + 31*T1^8*T2^14 + 15*T1^9*T2^14 - 
     89*T1^10*T2^14 + 85*T1^11*T2^14 - 89*T1^12*T2^14 + 15*T1^13*T2^14 + 
     31*T1^14*T2^14 - 35*T1^15*T2^14 + 12*T1^16*T2^14 - 5*T1^7*T2^15 + 
     20*T1^8*T2^15 - 35*T1^9*T2^15 + 35*T1^10*T2^15 - 10*T1^11*T2^15 - 
     10*T1^12*T2^15 + 35*T1^13*T2^15 - 35*T1^14*T2^15 + 20*T1^15*T2^15 - 
     5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 12*T1^10*T2^16 - 
     19*T1^11*T2^16 + 21*T1^12*T2^16 - 19*T1^13*T2^16 + 12*T1^14*T2^16 - 
     5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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), -((1 - 5*T1 + 14*T1^2 - 25*T1^3 + 29*T1^4 - 25*T1^5 + 14*T1^6 - 
      5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 45*T1^2*T2 + 55*T1^3*T2 - 
      20*T1^4*T2 - 20*T1^5*T2 + 55*T1^6*T2 - 45*T1^7*T2 + 20*T1^8*T2 - 
      5*T1^9*T2 + 14*T2^2 - 45*T1*T2^2 + 85*T1^2*T2^2 - 69*T1^3*T2^2 - 
      29*T1^4*T2^2 + 35*T1^5*T2^2 - 29*T1^6*T2^2 - 69*T1^7*T2^2 + 
      85*T1^8*T2^2 - 45*T1^9*T2^2 + 14*T1^10*T2^2 - 25*T2^3 + 55*T1*T2^3 - 
      69*T1^2*T2^3 - 38*T1^3*T2^3 + 196*T1^4*T2^3 - 25*T1^5*T2^3 - 
      25*T1^6*T2^3 + 196*T1^7*T2^3 - 38*T1^8*T2^3 - 69*T1^9*T2^3 + 
      55*T1^10*T2^3 - 25*T1^11*T2^3 + 29*T2^4 - 20*T1*T2^4 - 29*T1^2*T2^4 + 
      196*T1^3*T2^4 - 179*T1^4*T2^4 - 413*T1^5*T2^4 + 347*T1^6*T2^4 - 
      413*T1^7*T2^4 - 179*T1^8*T2^4 + 196*T1^9*T2^4 - 29*T1^10*T2^4 - 
      20*T1^11*T2^4 + 29*T1^12*T2^4 - 25*T2^5 - 20*T1*T2^5 + 35*T1^2*T2^5 - 
      25*T1^3*T2^5 - 413*T1^4*T2^5 + 1110*T1^5*T2^5 - 183*T1^6*T2^5 - 
      183*T1^7*T2^5 + 1110*T1^8*T2^5 - 413*T1^9*T2^5 - 25*T1^10*T2^5 + 
      35*T1^11*T2^5 - 20*T1^12*T2^5 - 25*T1^13*T2^5 + 14*T2^6 + 55*T1*T2^6 - 
      29*T1^2*T2^6 - 25*T1^3*T2^6 + 347*T1^4*T2^6 - 183*T1^5*T2^6 - 
      1778*T1^6*T2^6 + 1694*T1^7*T2^6 - 1778*T1^8*T2^6 - 183*T1^9*T2^6 + 
      347*T1^10*T2^6 - 25*T1^11*T2^6 - 29*T1^12*T2^6 + 55*T1^13*T2^6 + 
      14*T1^14*T2^6 - 5*T2^7 - 45*T1*T2^7 - 69*T1^2*T2^7 + 196*T1^3*T2^7 - 
      413*T1^4*T2^7 - 183*T1^5*T2^7 + 1694*T1^6*T2^7 - 206*T1^7*T2^7 - 
      206*T1^8*T2^7 + 1694*T1^9*T2^7 - 183*T1^10*T2^7 - 413*T1^11*T2^7 + 
      196*T1^12*T2^7 - 69*T1^13*T2^7 - 45*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 
      20*T1*T2^8 + 85*T1^2*T2^8 - 38*T1^3*T2^8 - 179*T1^4*T2^8 + 
      1110*T1^5*T2^8 - 1778*T1^6*T2^8 - 206*T1^7*T2^8 - 132*T1^8*T2^8 - 
      206*T1^9*T2^8 - 1778*T1^10*T2^8 + 1110*T1^11*T2^8 - 179*T1^12*T2^8 - 
      38*T1^13*T2^8 + 85*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 
      5*T1*T2^9 - 45*T1^2*T2^9 - 69*T1^3*T2^9 + 196*T1^4*T2^9 - 
      413*T1^5*T2^9 - 183*T1^6*T2^9 + 1694*T1^7*T2^9 - 206*T1^8*T2^9 - 
      206*T1^9*T2^9 + 1694*T1^10*T2^9 - 183*T1^11*T2^9 - 413*T1^12*T2^9 + 
      196*T1^13*T2^9 - 69*T1^14*T2^9 - 45*T1^15*T2^9 - 5*T1^16*T2^9 + 
      14*T1^2*T2^10 + 55*T1^3*T2^10 - 29*T1^4*T2^10 - 25*T1^5*T2^10 + 
      347*T1^6*T2^10 - 183*T1^7*T2^10 - 1778*T1^8*T2^10 + 1694*T1^9*T2^10 - 
      1778*T1^10*T2^10 - 183*T1^11*T2^10 + 347*T1^12*T2^10 - 25*T1^13*T2^10 - 
      29*T1^14*T2^10 + 55*T1^15*T2^10 + 14*T1^16*T2^10 - 25*T1^3*T2^11 - 
      20*T1^4*T2^11 + 35*T1^5*T2^11 - 25*T1^6*T2^11 - 413*T1^7*T2^11 + 
      1110*T1^8*T2^11 - 183*T1^9*T2^11 - 183*T1^10*T2^11 + 1110*T1^11*T2^11 - 
      413*T1^12*T2^11 - 25*T1^13*T2^11 + 35*T1^14*T2^11 - 20*T1^15*T2^11 - 
      25*T1^16*T2^11 + 29*T1^4*T2^12 - 20*T1^5*T2^12 - 29*T1^6*T2^12 + 
      196*T1^7*T2^12 - 179*T1^8*T2^12 - 413*T1^9*T2^12 + 347*T1^10*T2^12 - 
      413*T1^11*T2^12 - 179*T1^12*T2^12 + 196*T1^13*T2^12 - 29*T1^14*T2^12 - 
      20*T1^15*T2^12 + 29*T1^16*T2^12 - 25*T1^5*T2^13 + 55*T1^6*T2^13 - 
      69*T1^7*T2^13 - 38*T1^8*T2^13 + 196*T1^9*T2^13 - 25*T1^10*T2^13 - 
      25*T1^11*T2^13 + 196*T1^12*T2^13 - 38*T1^13*T2^13 - 69*T1^14*T2^13 + 
      55*T1^15*T2^13 - 25*T1^16*T2^13 + 14*T1^6*T2^14 - 45*T1^7*T2^14 + 
      85*T1^8*T2^14 - 69*T1^9*T2^14 - 29*T1^10*T2^14 + 35*T1^11*T2^14 - 
      29*T1^12*T2^14 - 69*T1^13*T2^14 + 85*T1^14*T2^14 - 45*T1^15*T2^14 + 
      14*T1^16*T2^14 - 5*T1^7*T2^15 + 20*T1^8*T2^15 - 45*T1^9*T2^15 + 
      55*T1^10*T2^15 - 20*T1^11*T2^15 - 20*T1^12*T2^15 + 55*T1^13*T2^15 - 
      45*T1^14*T2^15 + 20*T1^15*T2^15 - 5*T1^16*T2^15 + T1^8*T2^16 - 
      5*T1^9*T2^16 + 14*T1^10*T2^16 - 25*T1^11*T2^16 + 29*T1^12*T2^16 - 
      25*T1^13*T2^16 + 14*T1^14*T2^16 - 5*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, 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, 
   -((3*T1 - 10*T1^2 + 14*T1^3 - 10*T1^4 + 3*T1^5 + 3*T2 - 20*T1*T2 + 
      40*T1^2*T2 - 20*T1^3*T2 - 20*T1^4*T2 + 40*T1^5*T2 - 20*T1^6*T2 + 
      3*T1^7*T2 - 10*T2^2 + 40*T1*T2^2 - 43*T1^2*T2^2 - 54*T1^3*T2^2 + 
      91*T1^4*T2^2 - 54*T1^5*T2^2 - 43*T1^6*T2^2 + 40*T1^7*T2^2 - 
      10*T1^8*T2^2 + 14*T2^3 - 20*T1*T2^3 - 54*T1^2*T2^3 + 210*T1^3*T2^3 - 
      73*T1^4*T2^3 - 73*T1^5*T2^3 + 210*T1^6*T2^3 - 54*T1^7*T2^3 - 
      20*T1^8*T2^3 + 14*T1^9*T2^3 - 10*T2^4 - 20*T1*T2^4 + 91*T1^2*T2^4 - 
      73*T1^3*T2^4 - 377*T1^4*T2^4 + 425*T1^5*T2^4 - 377*T1^6*T2^4 - 
      73*T1^7*T2^4 + 91*T1^8*T2^4 - 20*T1^9*T2^4 - 10*T1^10*T2^4 + 3*T2^5 + 
      40*T1*T2^5 - 54*T1^2*T2^5 - 73*T1^3*T2^5 + 425*T1^4*T2^5 - 
      58*T1^5*T2^5 - 58*T1^6*T2^5 + 425*T1^7*T2^5 - 73*T1^8*T2^5 - 
      54*T1^9*T2^5 + 40*T1^10*T2^5 + 3*T1^11*T2^5 - 20*T1*T2^6 - 
      43*T1^2*T2^6 + 210*T1^3*T2^6 - 377*T1^4*T2^6 - 58*T1^5*T2^6 - 
      84*T1^6*T2^6 - 58*T1^7*T2^6 - 377*T1^8*T2^6 + 210*T1^9*T2^6 - 
      43*T1^10*T2^6 - 20*T1^11*T2^6 + 3*T1*T2^7 + 40*T1^2*T2^7 - 
      54*T1^3*T2^7 - 73*T1^4*T2^7 + 425*T1^5*T2^7 - 58*T1^6*T2^7 - 
      58*T1^7*T2^7 + 425*T1^8*T2^7 - 73*T1^9*T2^7 - 54*T1^10*T2^7 + 
      40*T1^11*T2^7 + 3*T1^12*T2^7 - 10*T1^2*T2^8 - 20*T1^3*T2^8 + 
      91*T1^4*T2^8 - 73*T1^5*T2^8 - 377*T1^6*T2^8 + 425*T1^7*T2^8 - 
      377*T1^8*T2^8 - 73*T1^9*T2^8 + 91*T1^10*T2^8 - 20*T1^11*T2^8 - 
      10*T1^12*T2^8 + 14*T1^3*T2^9 - 20*T1^4*T2^9 - 54*T1^5*T2^9 + 
      210*T1^6*T2^9 - 73*T1^7*T2^9 - 73*T1^8*T2^9 + 210*T1^9*T2^9 - 
      54*T1^10*T2^9 - 20*T1^11*T2^9 + 14*T1^12*T2^9 - 10*T1^4*T2^10 + 
      40*T1^5*T2^10 - 43*T1^6*T2^10 - 54*T1^7*T2^10 + 91*T1^8*T2^10 - 
      54*T1^9*T2^10 - 43*T1^10*T2^10 + 40*T1^11*T2^10 - 10*T1^12*T2^10 + 
      3*T1^5*T2^11 - 20*T1^6*T2^11 + 40*T1^7*T2^11 - 20*T1^8*T2^11 - 
      20*T1^9*T2^11 + 40*T1^10*T2^11 - 20*T1^11*T2^11 + 3*T1^12*T2^11 + 
      3*T1^7*T2^12 - 10*T1^8*T2^12 + 14*T1^9*T2^12 - 10*T1^10*T2^12 + 
      3*T1^11*T2^12)/(T1^6*T2^6))}, Knot[11, Alternating, 36] -> 
  {-(((-2 + 4*T - 4*T^2 + T^3)*(-1 + 4*T - 4*T^2 + 2*T^3))/T^3), 
   (1 - 5*T1 + 10*T1^2 - 13*T1^3 + 10*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 25*T1^2*T2 + 15*T1^3*T2 + 15*T1^4*T2 - 25*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 10*T2^2 - 25*T1*T2^2 - 24*T1^2*T2^2 + 
     98*T1^3*T2^2 - 168*T1^4*T2^2 + 98*T1^5*T2^2 - 24*T1^6*T2^2 - 
     25*T1^7*T2^2 + 10*T1^8*T2^2 - 13*T2^3 + 15*T1*T2^3 + 98*T1^2*T2^3 - 
     152*T1^3*T2^3 + 132*T1^4*T2^3 + 132*T1^5*T2^3 - 152*T1^6*T2^3 + 
     98*T1^7*T2^3 + 15*T1^8*T2^3 - 13*T1^9*T2^3 + 10*T2^4 + 15*T1*T2^4 - 
     168*T1^2*T2^4 + 132*T1^3*T2^4 - 40*T1^4*T2^4 - 250*T1^5*T2^4 - 
     40*T1^6*T2^4 + 132*T1^7*T2^4 - 168*T1^8*T2^4 + 15*T1^9*T2^4 + 
     10*T1^10*T2^4 - 5*T2^5 - 25*T1*T2^5 + 98*T1^2*T2^5 + 132*T1^3*T2^5 - 
     250*T1^4*T2^5 + 328*T1^5*T2^5 + 328*T1^6*T2^5 - 250*T1^7*T2^5 + 
     132*T1^8*T2^5 + 98*T1^9*T2^5 - 25*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 - 24*T1^2*T2^6 - 152*T1^3*T2^6 - 40*T1^4*T2^6 + 
     328*T1^5*T2^6 - 912*T1^6*T2^6 + 328*T1^7*T2^6 - 40*T1^8*T2^6 - 
     152*T1^9*T2^6 - 24*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     25*T1^2*T2^7 + 98*T1^3*T2^7 + 132*T1^4*T2^7 - 250*T1^5*T2^7 + 
     328*T1^6*T2^7 + 328*T1^7*T2^7 - 250*T1^8*T2^7 + 132*T1^9*T2^7 + 
     98*T1^10*T2^7 - 25*T1^11*T2^7 - 5*T1^12*T2^7 + 10*T1^2*T2^8 + 
     15*T1^3*T2^8 - 168*T1^4*T2^8 + 132*T1^5*T2^8 - 40*T1^6*T2^8 - 
     250*T1^7*T2^8 - 40*T1^8*T2^8 + 132*T1^9*T2^8 - 168*T1^10*T2^8 + 
     15*T1^11*T2^8 + 10*T1^12*T2^8 - 13*T1^3*T2^9 + 15*T1^4*T2^9 + 
     98*T1^5*T2^9 - 152*T1^6*T2^9 + 132*T1^7*T2^9 + 132*T1^8*T2^9 - 
     152*T1^9*T2^9 + 98*T1^10*T2^9 + 15*T1^11*T2^9 - 13*T1^12*T2^9 + 
     10*T1^4*T2^10 - 25*T1^5*T2^10 - 24*T1^6*T2^10 + 98*T1^7*T2^10 - 
     168*T1^8*T2^10 + 98*T1^9*T2^10 - 24*T1^10*T2^10 - 25*T1^11*T2^10 + 
     10*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 25*T1^7*T2^11 + 
     15*T1^8*T2^11 + 15*T1^9*T2^11 - 25*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 10*T1^8*T2^12 - 
     13*T1^9*T2^12 + 10*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 37] -> 
  {-((2 - 9*T + 21*T^2 - 29*T^3 + 21*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((1 - 5*T1 + 12*T1^2 - 17*T1^3 + 12*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
      20*T1*T2 - 35*T1^2*T2 + 25*T1^3*T2 + 25*T1^4*T2 - 35*T1^5*T2 + 
      20*T1^6*T2 - 5*T1^7*T2 + 12*T2^2 - 35*T1*T2^2 + 38*T1^2*T2^2 + 
      7*T1^3*T2^2 - 98*T1^4*T2^2 + 7*T1^5*T2^2 + 38*T1^6*T2^2 - 
      35*T1^7*T2^2 + 12*T1^8*T2^2 - 17*T2^3 + 25*T1*T2^3 + 7*T1^2*T2^3 - 
      66*T1^3*T2^3 + 147*T1^4*T2^3 + 147*T1^5*T2^3 - 66*T1^6*T2^3 + 
      7*T1^7*T2^3 + 25*T1^8*T2^3 - 17*T1^9*T2^3 + 12*T2^4 + 25*T1*T2^4 - 
      98*T1^2*T2^4 + 147*T1^3*T2^4 - 117*T1^4*T2^4 - 405*T1^5*T2^4 - 
      117*T1^6*T2^4 + 147*T1^7*T2^4 - 98*T1^8*T2^4 + 25*T1^9*T2^4 + 
      12*T1^10*T2^4 - 5*T2^5 - 35*T1*T2^5 + 7*T1^2*T2^5 + 147*T1^3*T2^5 - 
      405*T1^4*T2^5 + 686*T1^5*T2^5 + 686*T1^6*T2^5 - 405*T1^7*T2^5 + 
      147*T1^8*T2^5 + 7*T1^9*T2^5 - 35*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
      20*T1*T2^6 + 38*T1^2*T2^6 - 66*T1^3*T2^6 - 117*T1^4*T2^6 + 
      686*T1^5*T2^6 - 2064*T1^6*T2^6 + 686*T1^7*T2^6 - 117*T1^8*T2^6 - 
      66*T1^9*T2^6 + 38*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
      35*T1^2*T2^7 + 7*T1^3*T2^7 + 147*T1^4*T2^7 - 405*T1^5*T2^7 + 
      686*T1^6*T2^7 + 686*T1^7*T2^7 - 405*T1^8*T2^7 + 147*T1^9*T2^7 + 
      7*T1^10*T2^7 - 35*T1^11*T2^7 - 5*T1^12*T2^7 + 12*T1^2*T2^8 + 
      25*T1^3*T2^8 - 98*T1^4*T2^8 + 147*T1^5*T2^8 - 117*T1^6*T2^8 - 
      405*T1^7*T2^8 - 117*T1^8*T2^8 + 147*T1^9*T2^8 - 98*T1^10*T2^8 + 
      25*T1^11*T2^8 + 12*T1^12*T2^8 - 17*T1^3*T2^9 + 25*T1^4*T2^9 + 
      7*T1^5*T2^9 - 66*T1^6*T2^9 + 147*T1^7*T2^9 + 147*T1^8*T2^9 - 
      66*T1^9*T2^9 + 7*T1^10*T2^9 + 25*T1^11*T2^9 - 17*T1^12*T2^9 + 
      12*T1^4*T2^10 - 35*T1^5*T2^10 + 38*T1^6*T2^10 + 7*T1^7*T2^10 - 
      98*T1^8*T2^10 + 7*T1^9*T2^10 + 38*T1^10*T2^10 - 35*T1^11*T2^10 + 
      12*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 35*T1^7*T2^11 + 
      25*T1^8*T2^11 + 25*T1^9*T2^11 - 35*T1^10*T2^11 + 20*T1^11*T2^11 - 
      5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 12*T1^8*T2^12 - 
      17*T1^9*T2^12 + 12*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[11, Alternating, 38] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3), 
   (1 - 5*T1 + 12*T1^2 - 17*T1^3 + 12*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 35*T1^2*T2 + 25*T1^3*T2 + 25*T1^4*T2 - 35*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 12*T2^2 - 35*T1*T2^2 + 37*T1^2*T2^2 + 
     19*T1^3*T2^2 - 111*T1^4*T2^2 + 19*T1^5*T2^2 + 37*T1^6*T2^2 - 
     35*T1^7*T2^2 + 12*T1^8*T2^2 - 17*T2^3 + 25*T1*T2^3 + 19*T1^2*T2^3 - 
     118*T1^3*T2^3 + 156*T1^4*T2^3 + 156*T1^5*T2^3 - 118*T1^6*T2^3 + 
     19*T1^7*T2^3 + 25*T1^8*T2^3 - 17*T1^9*T2^3 + 12*T2^4 + 25*T1*T2^4 - 
     111*T1^2*T2^4 + 156*T1^3*T2^4 + 20*T1^4*T2^4 - 470*T1^5*T2^4 + 
     20*T1^6*T2^4 + 156*T1^7*T2^4 - 111*T1^8*T2^4 + 25*T1^9*T2^4 + 
     12*T1^10*T2^4 - 5*T2^5 - 35*T1*T2^5 + 19*T1^2*T2^5 + 156*T1^3*T2^5 - 
     470*T1^4*T2^5 + 538*T1^5*T2^5 + 538*T1^6*T2^5 - 470*T1^7*T2^5 + 
     156*T1^8*T2^5 + 19*T1^9*T2^5 - 35*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 + 37*T1^2*T2^6 - 118*T1^3*T2^6 + 20*T1^4*T2^6 + 
     538*T1^5*T2^6 - 1464*T1^6*T2^6 + 538*T1^7*T2^6 + 20*T1^8*T2^6 - 
     118*T1^9*T2^6 + 37*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     35*T1^2*T2^7 + 19*T1^3*T2^7 + 156*T1^4*T2^7 - 470*T1^5*T2^7 + 
     538*T1^6*T2^7 + 538*T1^7*T2^7 - 470*T1^8*T2^7 + 156*T1^9*T2^7 + 
     19*T1^10*T2^7 - 35*T1^11*T2^7 - 5*T1^12*T2^7 + 12*T1^2*T2^8 + 
     25*T1^3*T2^8 - 111*T1^4*T2^8 + 156*T1^5*T2^8 + 20*T1^6*T2^8 - 
     470*T1^7*T2^8 + 20*T1^8*T2^8 + 156*T1^9*T2^8 - 111*T1^10*T2^8 + 
     25*T1^11*T2^8 + 12*T1^12*T2^8 - 17*T1^3*T2^9 + 25*T1^4*T2^9 + 
     19*T1^5*T2^9 - 118*T1^6*T2^9 + 156*T1^7*T2^9 + 156*T1^8*T2^9 - 
     118*T1^9*T2^9 + 19*T1^10*T2^9 + 25*T1^11*T2^9 - 17*T1^12*T2^9 + 
     12*T1^4*T2^10 - 35*T1^5*T2^10 + 37*T1^6*T2^10 + 19*T1^7*T2^10 - 
     111*T1^8*T2^10 + 19*T1^9*T2^10 + 37*T1^10*T2^10 - 35*T1^11*T2^10 + 
     12*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 35*T1^7*T2^11 + 
     25*T1^8*T2^11 + 25*T1^9*T2^11 - 35*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 12*T1^8*T2^12 - 
     17*T1^9*T2^12 + 12*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 39] -> 
  {-((3 - 12*T + 22*T^2 - 27*T^3 + 22*T^4 - 12*T^5 + 3*T^6)/T^3), 
   -((3 - 12*T1 + 22*T1^2 - 29*T1^3 + 22*T1^4 - 12*T1^5 + 3*T1^6 - 12*T2 + 
      38*T1*T2 - 43*T1^2*T2 + 28*T1^3*T2 + 28*T1^4*T2 - 43*T1^5*T2 + 
      38*T1^6*T2 - 12*T1^7*T2 + 22*T2^2 - 43*T1*T2^2 - 2*T1^2*T2^2 + 
      4*T1^3*T2^2 - 48*T1^4*T2^2 + 4*T1^5*T2^2 - 2*T1^6*T2^2 - 43*T1^7*T2^2 + 
      22*T1^8*T2^2 - 29*T2^3 + 28*T1*T2^3 + 4*T1^2*T2^3 + 186*T1^3*T2^3 - 
      62*T1^4*T2^3 - 62*T1^5*T2^3 + 186*T1^6*T2^3 + 4*T1^7*T2^3 + 
      28*T1^8*T2^3 - 29*T1^9*T2^3 + 22*T2^4 + 28*T1*T2^4 - 48*T1^2*T2^4 - 
      62*T1^3*T2^4 - 767*T1^4*T2^4 + 1081*T1^5*T2^4 - 767*T1^6*T2^4 - 
      62*T1^7*T2^4 - 48*T1^8*T2^4 + 28*T1^9*T2^4 + 22*T1^10*T2^4 - 12*T2^5 - 
      43*T1*T2^5 + 4*T1^2*T2^5 - 62*T1^3*T2^5 + 1081*T1^4*T2^5 - 
      500*T1^5*T2^5 - 500*T1^6*T2^5 + 1081*T1^7*T2^5 - 62*T1^8*T2^5 + 
      4*T1^9*T2^5 - 43*T1^10*T2^5 - 12*T1^11*T2^5 + 3*T2^6 + 38*T1*T2^6 - 
      2*T1^2*T2^6 + 186*T1^3*T2^6 - 767*T1^4*T2^6 - 500*T1^5*T2^6 + 
      984*T1^6*T2^6 - 500*T1^7*T2^6 - 767*T1^8*T2^6 + 186*T1^9*T2^6 - 
      2*T1^10*T2^6 + 38*T1^11*T2^6 + 3*T1^12*T2^6 - 12*T1*T2^7 - 
      43*T1^2*T2^7 + 4*T1^3*T2^7 - 62*T1^4*T2^7 + 1081*T1^5*T2^7 - 
      500*T1^6*T2^7 - 500*T1^7*T2^7 + 1081*T1^8*T2^7 - 62*T1^9*T2^7 + 
      4*T1^10*T2^7 - 43*T1^11*T2^7 - 12*T1^12*T2^7 + 22*T1^2*T2^8 + 
      28*T1^3*T2^8 - 48*T1^4*T2^8 - 62*T1^5*T2^8 - 767*T1^6*T2^8 + 
      1081*T1^7*T2^8 - 767*T1^8*T2^8 - 62*T1^9*T2^8 - 48*T1^10*T2^8 + 
      28*T1^11*T2^8 + 22*T1^12*T2^8 - 29*T1^3*T2^9 + 28*T1^4*T2^9 + 
      4*T1^5*T2^9 + 186*T1^6*T2^9 - 62*T1^7*T2^9 - 62*T1^8*T2^9 + 
      186*T1^9*T2^9 + 4*T1^10*T2^9 + 28*T1^11*T2^9 - 29*T1^12*T2^9 + 
      22*T1^4*T2^10 - 43*T1^5*T2^10 - 2*T1^6*T2^10 + 4*T1^7*T2^10 - 
      48*T1^8*T2^10 + 4*T1^9*T2^10 - 2*T1^10*T2^10 - 43*T1^11*T2^10 + 
      22*T1^12*T2^10 - 12*T1^5*T2^11 + 38*T1^6*T2^11 - 43*T1^7*T2^11 + 
      28*T1^8*T2^11 + 28*T1^9*T2^11 - 43*T1^10*T2^11 + 38*T1^11*T2^11 - 
      12*T1^12*T2^11 + 3*T1^6*T2^12 - 12*T1^7*T2^12 + 22*T1^8*T2^12 - 
      29*T1^9*T2^12 + 22*T1^10*T2^12 - 12*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^6*T2^6))}, 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, 
   (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 + 40*T1*T2 - 70*T1^2*T2 + 50*T1^3*T2 - 20*T1^4*T2 - 
     20*T1^5*T2 + 50*T1^6*T2 - 70*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     24*T2^2 - 70*T1*T2^2 + 62*T1^2*T2^2 + 74*T1^3*T2^2 - 114*T1^4*T2^2 + 
     144*T1^5*T2^2 - 114*T1^6*T2^2 + 74*T1^7*T2^2 + 62*T1^8*T2^2 - 
     70*T1^9*T2^2 + 24*T1^10*T2^2 - 34*T2^3 + 50*T1*T2^3 + 74*T1^2*T2^3 - 
     308*T1^3*T2^3 + 154*T1^4*T2^3 - 81*T1^5*T2^3 - 81*T1^6*T2^3 + 
     154*T1^7*T2^3 - 308*T1^8*T2^3 + 74*T1^9*T2^3 + 50*T1^10*T2^3 - 
     34*T1^11*T2^3 + 38*T2^4 - 20*T1*T2^4 - 114*T1^2*T2^4 + 154*T1^3*T2^4 + 
     428*T1^4*T2^4 - 500*T1^5*T2^4 + 652*T1^6*T2^4 - 500*T1^7*T2^4 + 
     428*T1^8*T2^4 + 154*T1^9*T2^4 - 114*T1^10*T2^4 - 20*T1^11*T2^4 + 
     38*T1^12*T2^4 - 34*T2^5 - 20*T1*T2^5 + 144*T1^2*T2^5 - 81*T1^3*T2^5 - 
     500*T1^4*T2^5 + 130*T1^5*T2^5 - 158*T1^6*T2^5 - 158*T1^7*T2^5 + 
     130*T1^8*T2^5 - 500*T1^9*T2^5 - 81*T1^10*T2^5 + 144*T1^11*T2^5 - 
     20*T1^12*T2^5 - 34*T1^13*T2^5 + 24*T2^6 + 50*T1*T2^6 - 114*T1^2*T2^6 - 
     81*T1^3*T2^6 + 652*T1^4*T2^6 - 158*T1^5*T2^6 + 429*T1^6*T2^6 - 
     183*T1^7*T2^6 + 429*T1^8*T2^6 - 158*T1^9*T2^6 + 652*T1^10*T2^6 - 
     81*T1^11*T2^6 - 114*T1^12*T2^6 + 50*T1^13*T2^6 + 24*T1^14*T2^6 - 
     10*T2^7 - 70*T1*T2^7 + 74*T1^2*T2^7 + 154*T1^3*T2^7 - 500*T1^4*T2^7 - 
     158*T1^5*T2^7 - 183*T1^6*T2^7 - 146*T1^7*T2^7 - 146*T1^8*T2^7 - 
     183*T1^9*T2^7 - 158*T1^10*T2^7 - 500*T1^11*T2^7 + 154*T1^12*T2^7 + 
     74*T1^13*T2^7 - 70*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 + 
     62*T1^2*T2^8 - 308*T1^3*T2^8 + 428*T1^4*T2^8 + 130*T1^5*T2^8 + 
     429*T1^6*T2^8 - 146*T1^7*T2^8 + 492*T1^8*T2^8 - 146*T1^9*T2^8 + 
     429*T1^10*T2^8 + 130*T1^11*T2^8 + 428*T1^12*T2^8 - 308*T1^13*T2^8 + 
     62*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     70*T1^2*T2^9 + 74*T1^3*T2^9 + 154*T1^4*T2^9 - 500*T1^5*T2^9 - 
     158*T1^6*T2^9 - 183*T1^7*T2^9 - 146*T1^8*T2^9 - 146*T1^9*T2^9 - 
     183*T1^10*T2^9 - 158*T1^11*T2^9 - 500*T1^12*T2^9 + 154*T1^13*T2^9 + 
     74*T1^14*T2^9 - 70*T1^15*T2^9 - 10*T1^16*T2^9 + 24*T1^2*T2^10 + 
     50*T1^3*T2^10 - 114*T1^4*T2^10 - 81*T1^5*T2^10 + 652*T1^6*T2^10 - 
     158*T1^7*T2^10 + 429*T1^8*T2^10 - 183*T1^9*T2^10 + 429*T1^10*T2^10 - 
     158*T1^11*T2^10 + 652*T1^12*T2^10 - 81*T1^13*T2^10 - 114*T1^14*T2^10 + 
     50*T1^15*T2^10 + 24*T1^16*T2^10 - 34*T1^3*T2^11 - 20*T1^4*T2^11 + 
     144*T1^5*T2^11 - 81*T1^6*T2^11 - 500*T1^7*T2^11 + 130*T1^8*T2^11 - 
     158*T1^9*T2^11 - 158*T1^10*T2^11 + 130*T1^11*T2^11 - 500*T1^12*T2^11 - 
     81*T1^13*T2^11 + 144*T1^14*T2^11 - 20*T1^15*T2^11 - 34*T1^16*T2^11 + 
     38*T1^4*T2^12 - 20*T1^5*T2^12 - 114*T1^6*T2^12 + 154*T1^7*T2^12 + 
     428*T1^8*T2^12 - 500*T1^9*T2^12 + 652*T1^10*T2^12 - 500*T1^11*T2^12 + 
     428*T1^12*T2^12 + 154*T1^13*T2^12 - 114*T1^14*T2^12 - 20*T1^15*T2^12 + 
     38*T1^16*T2^12 - 34*T1^5*T2^13 + 50*T1^6*T2^13 + 74*T1^7*T2^13 - 
     308*T1^8*T2^13 + 154*T1^9*T2^13 - 81*T1^10*T2^13 - 81*T1^11*T2^13 + 
     154*T1^12*T2^13 - 308*T1^13*T2^13 + 74*T1^14*T2^13 + 50*T1^15*T2^13 - 
     34*T1^16*T2^13 + 24*T1^6*T2^14 - 70*T1^7*T2^14 + 62*T1^8*T2^14 + 
     74*T1^9*T2^14 - 114*T1^10*T2^14 + 144*T1^11*T2^14 - 114*T1^12*T2^14 + 
     74*T1^13*T2^14 + 62*T1^14*T2^14 - 70*T1^15*T2^14 + 24*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 70*T1^9*T2^15 + 50*T1^10*T2^15 - 
     20*T1^11*T2^15 - 20*T1^12*T2^15 + 50*T1^13*T2^15 - 70*T1^14*T2^15 + 
     40*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)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 41] -> 
  {(2 - 11*T + 27*T^2 - 35*T^3 + 27*T^4 - 11*T^5 + 2*T^6)/T^3, 
   (9 - 49*T1 + 120*T1^2 - 155*T1^3 + 120*T1^4 - 49*T1^5 + 9*T1^6 - 49*T2 + 
     218*T1*T2 - 387*T1^2*T2 + 191*T1^3*T2 + 191*T1^4*T2 - 387*T1^5*T2 + 
     218*T1^6*T2 - 49*T1^7*T2 + 120*T2^2 - 387*T1*T2^2 + 272*T1^2*T2^2 + 
     825*T1^3*T2^2 - 1386*T1^4*T2^2 + 825*T1^5*T2^2 + 272*T1^6*T2^2 - 
     387*T1^7*T2^2 + 120*T1^8*T2^2 - 155*T2^3 + 191*T1*T2^3 + 825*T1^2*T2^3 - 
     2608*T1^3*T2^3 + 1321*T1^4*T2^3 + 1321*T1^5*T2^3 - 2608*T1^6*T2^3 + 
     825*T1^7*T2^3 + 191*T1^8*T2^3 - 155*T1^9*T2^3 + 120*T2^4 + 191*T1*T2^4 - 
     1386*T1^2*T2^4 + 1321*T1^3*T2^4 + 3791*T1^4*T2^4 - 6267*T1^5*T2^4 + 
     3791*T1^6*T2^4 + 1321*T1^7*T2^4 - 1386*T1^8*T2^4 + 191*T1^9*T2^4 + 
     120*T1^10*T2^4 - 49*T2^5 - 387*T1*T2^5 + 825*T1^2*T2^5 + 
     1321*T1^3*T2^5 - 6267*T1^4*T2^5 + 3170*T1^5*T2^5 + 3170*T1^6*T2^5 - 
     6267*T1^7*T2^5 + 1321*T1^8*T2^5 + 825*T1^9*T2^5 - 387*T1^10*T2^5 - 
     49*T1^11*T2^5 + 9*T2^6 + 218*T1*T2^6 + 272*T1^2*T2^6 - 2608*T1^3*T2^6 + 
     3791*T1^4*T2^6 + 3170*T1^5*T2^6 - 6516*T1^6*T2^6 + 3170*T1^7*T2^6 + 
     3791*T1^8*T2^6 - 2608*T1^9*T2^6 + 272*T1^10*T2^6 + 218*T1^11*T2^6 + 
     9*T1^12*T2^6 - 49*T1*T2^7 - 387*T1^2*T2^7 + 825*T1^3*T2^7 + 
     1321*T1^4*T2^7 - 6267*T1^5*T2^7 + 3170*T1^6*T2^7 + 3170*T1^7*T2^7 - 
     6267*T1^8*T2^7 + 1321*T1^9*T2^7 + 825*T1^10*T2^7 - 387*T1^11*T2^7 - 
     49*T1^12*T2^7 + 120*T1^2*T2^8 + 191*T1^3*T2^8 - 1386*T1^4*T2^8 + 
     1321*T1^5*T2^8 + 3791*T1^6*T2^8 - 6267*T1^7*T2^8 + 3791*T1^8*T2^8 + 
     1321*T1^9*T2^8 - 1386*T1^10*T2^8 + 191*T1^11*T2^8 + 120*T1^12*T2^8 - 
     155*T1^3*T2^9 + 191*T1^4*T2^9 + 825*T1^5*T2^9 - 2608*T1^6*T2^9 + 
     1321*T1^7*T2^9 + 1321*T1^8*T2^9 - 2608*T1^9*T2^9 + 825*T1^10*T2^9 + 
     191*T1^11*T2^9 - 155*T1^12*T2^9 + 120*T1^4*T2^10 - 387*T1^5*T2^10 + 
     272*T1^6*T2^10 + 825*T1^7*T2^10 - 1386*T1^8*T2^10 + 825*T1^9*T2^10 + 
     272*T1^10*T2^10 - 387*T1^11*T2^10 + 120*T1^12*T2^10 - 49*T1^5*T2^11 + 
     218*T1^6*T2^11 - 387*T1^7*T2^11 + 191*T1^8*T2^11 + 191*T1^9*T2^11 - 
     387*T1^10*T2^11 + 218*T1^11*T2^11 - 49*T1^12*T2^11 + 9*T1^6*T2^12 - 
     49*T1^7*T2^12 + 120*T1^8*T2^12 - 155*T1^9*T2^12 + 120*T1^10*T2^12 - 
     49*T1^11*T2^12 + 9*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, Alternating, 42] -> 
  {(1 - 9*T + 26*T^2 - 35*T^3 + 26*T^4 - 9*T^5 + T^6)/T^3, 
   (1 - 9*T1 + 26*T1^2 - 35*T1^3 + 26*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
     72*T1*T2 - 153*T1^2*T2 + 81*T1^3*T2 + 81*T1^4*T2 - 153*T1^5*T2 + 
     72*T1^6*T2 - 9*T1^7*T2 + 26*T2^2 - 153*T1*T2^2 - 11*T1^2*T2^2 + 
     899*T1^3*T2^2 - 1393*T1^4*T2^2 + 899*T1^5*T2^2 - 11*T1^6*T2^2 - 
     153*T1^7*T2^2 + 26*T1^8*T2^2 - 35*T2^3 + 81*T1*T2^3 + 899*T1^2*T2^3 - 
     2612*T1^3*T2^3 + 1420*T1^4*T2^3 + 1420*T1^5*T2^3 - 2612*T1^6*T2^3 + 
     899*T1^7*T2^3 + 81*T1^8*T2^3 - 35*T1^9*T2^3 + 26*T2^4 + 81*T1*T2^4 - 
     1393*T1^2*T2^4 + 1420*T1^3*T2^4 + 4100*T1^4*T2^4 - 7308*T1^5*T2^4 + 
     4100*T1^6*T2^4 + 1420*T1^7*T2^4 - 1393*T1^8*T2^4 + 81*T1^9*T2^4 + 
     26*T1^10*T2^4 - 9*T2^5 - 153*T1*T2^5 + 899*T1^2*T2^5 + 1420*T1^3*T2^5 - 
     7308*T1^4*T2^5 + 4230*T1^5*T2^5 + 4230*T1^6*T2^5 - 7308*T1^7*T2^5 + 
     1420*T1^8*T2^5 + 899*T1^9*T2^5 - 153*T1^10*T2^5 - 9*T1^11*T2^5 + T2^6 + 
     72*T1*T2^6 - 11*T1^2*T2^6 - 2612*T1^3*T2^6 + 4100*T1^4*T2^6 + 
     4230*T1^5*T2^6 - 9432*T1^6*T2^6 + 4230*T1^7*T2^6 + 4100*T1^8*T2^6 - 
     2612*T1^9*T2^6 - 11*T1^10*T2^6 + 72*T1^11*T2^6 + T1^12*T2^6 - 
     9*T1*T2^7 - 153*T1^2*T2^7 + 899*T1^3*T2^7 + 1420*T1^4*T2^7 - 
     7308*T1^5*T2^7 + 4230*T1^6*T2^7 + 4230*T1^7*T2^7 - 7308*T1^8*T2^7 + 
     1420*T1^9*T2^7 + 899*T1^10*T2^7 - 153*T1^11*T2^7 - 9*T1^12*T2^7 + 
     26*T1^2*T2^8 + 81*T1^3*T2^8 - 1393*T1^4*T2^8 + 1420*T1^5*T2^8 + 
     4100*T1^6*T2^8 - 7308*T1^7*T2^8 + 4100*T1^8*T2^8 + 1420*T1^9*T2^8 - 
     1393*T1^10*T2^8 + 81*T1^11*T2^8 + 26*T1^12*T2^8 - 35*T1^3*T2^9 + 
     81*T1^4*T2^9 + 899*T1^5*T2^9 - 2612*T1^6*T2^9 + 1420*T1^7*T2^9 + 
     1420*T1^8*T2^9 - 2612*T1^9*T2^9 + 899*T1^10*T2^9 + 81*T1^11*T2^9 - 
     35*T1^12*T2^9 + 26*T1^4*T2^10 - 153*T1^5*T2^10 - 11*T1^6*T2^10 + 
     899*T1^7*T2^10 - 1393*T1^8*T2^10 + 899*T1^9*T2^10 - 11*T1^10*T2^10 - 
     153*T1^11*T2^10 + 26*T1^12*T2^10 - 9*T1^5*T2^11 + 72*T1^6*T2^11 - 
     153*T1^7*T2^11 + 81*T1^8*T2^11 + 81*T1^9*T2^11 - 153*T1^10*T2^11 + 
     72*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 
     26*T1^8*T2^12 - 35*T1^9*T2^12 + 26*T1^10*T2^12 - 9*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, 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)*
     (98 - 262*T1 + 355*T1^2 - 262*T1^3 + 98*T1^4 - 262*T2 + 446*T1*T2 - 
      254*T1^2*T2 - 254*T1^3*T2 + 446*T1^4*T2 - 262*T1^5*T2 + 355*T2^2 - 
      254*T1*T2^2 - 318*T1^2*T2^2 + 789*T1^3*T2^2 - 318*T1^4*T2^2 - 
      254*T1^5*T2^2 + 355*T1^6*T2^2 - 262*T2^3 - 254*T1*T2^3 + 
      789*T1^2*T2^3 - 563*T1^3*T2^3 - 563*T1^4*T2^3 + 789*T1^5*T2^3 - 
      254*T1^6*T2^3 - 262*T1^7*T2^3 + 98*T2^4 + 446*T1*T2^4 - 318*T1^2*T2^4 - 
      563*T1^3*T2^4 + 1350*T1^4*T2^4 - 563*T1^5*T2^4 - 318*T1^6*T2^4 + 
      446*T1^7*T2^4 + 98*T1^8*T2^4 - 262*T1*T2^5 - 254*T1^2*T2^5 + 
      789*T1^3*T2^5 - 563*T1^4*T2^5 - 563*T1^5*T2^5 + 789*T1^6*T2^5 - 
      254*T1^7*T2^5 - 262*T1^8*T2^5 + 355*T1^2*T2^6 - 254*T1^3*T2^6 - 
      318*T1^4*T2^6 + 789*T1^5*T2^6 - 318*T1^6*T2^6 - 254*T1^7*T2^6 + 
      355*T1^8*T2^6 - 262*T1^3*T2^7 + 446*T1^4*T2^7 - 254*T1^5*T2^7 - 
      254*T1^6*T2^7 + 446*T1^7*T2^7 - 262*T1^8*T2^7 + 98*T1^4*T2^8 - 
      262*T1^5*T2^8 + 355*T1^6*T2^8 - 262*T1^7*T2^8 + 98*T1^8*T2^8))/
    (T1^6*T2^6)}, Knot[11, Alternating, 44] -> 
  {((1 - T + T^2)^2*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^4, 
   (-2*(1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (T1 - 2*T1^2 + T1^3 + T2 - 5*T1*T2 + 5*T1^2*T2 + 5*T1^3*T2 - 5*T1^4*T2 + 
      T1^5*T2 - 2*T2^2 + 5*T1*T2^2 + 5*T1^2*T2^2 - 26*T1^3*T2^2 + 
      5*T1^4*T2^2 + 5*T1^5*T2^2 - 2*T1^6*T2^2 + T2^3 + 5*T1*T2^3 - 
      26*T1^2*T2^3 + 32*T1^3*T2^3 + 32*T1^4*T2^3 - 26*T1^5*T2^3 + 
      5*T1^6*T2^3 + T1^7*T2^3 - 5*T1*T2^4 + 5*T1^2*T2^4 + 32*T1^3*T2^4 - 
      96*T1^4*T2^4 + 32*T1^5*T2^4 + 5*T1^6*T2^4 - 5*T1^7*T2^4 + T1*T2^5 + 
      5*T1^2*T2^5 - 26*T1^3*T2^5 + 32*T1^4*T2^5 + 32*T1^5*T2^5 - 
      26*T1^6*T2^5 + 5*T1^7*T2^5 + T1^8*T2^5 - 2*T1^2*T2^6 + 5*T1^3*T2^6 + 
      5*T1^4*T2^6 - 26*T1^5*T2^6 + 5*T1^6*T2^6 + 5*T1^7*T2^6 - 2*T1^8*T2^6 + 
      T1^3*T2^7 - 5*T1^4*T2^7 + 5*T1^5*T2^7 + 5*T1^6*T2^7 - 5*T1^7*T2^7 + 
      T1^8*T2^7 + T1^5*T2^8 - 2*T1^6*T2^8 + T1^7*T2^8))/(T1^6*T2^6)}, 
 Knot[11, Alternating, 45] -> {-((6 - 22*T + 31*T^2 - 22*T^3 + 6*T^4)/T^2), 
   -((213 - 764*T1 + 1063*T1^2 - 764*T1^3 + 213*T1^4 - 764*T2 + 1986*T1*T2 - 
      1088*T1^2*T2 - 1088*T1^3*T2 + 1986*T1^4*T2 - 764*T1^5*T2 + 1063*T2^2 - 
      1088*T1*T2^2 - 3543*T1^2*T2^2 + 6335*T1^3*T2^2 - 3543*T1^4*T2^2 - 
      1088*T1^5*T2^2 + 1063*T1^6*T2^2 - 764*T2^3 - 1088*T1*T2^3 + 
      6335*T1^2*T2^3 - 3776*T1^3*T2^3 - 3776*T1^4*T2^3 + 6335*T1^5*T2^3 - 
      1088*T1^6*T2^3 - 764*T1^7*T2^3 + 213*T2^4 + 1986*T1*T2^4 - 
      3543*T1^2*T2^4 - 3776*T1^3*T2^4 + 8556*T1^4*T2^4 - 3776*T1^5*T2^4 - 
      3543*T1^6*T2^4 + 1986*T1^7*T2^4 + 213*T1^8*T2^4 - 764*T1*T2^5 - 
      1088*T1^2*T2^5 + 6335*T1^3*T2^5 - 3776*T1^4*T2^5 - 3776*T1^5*T2^5 + 
      6335*T1^6*T2^5 - 1088*T1^7*T2^5 - 764*T1^8*T2^5 + 1063*T1^2*T2^6 - 
      1088*T1^3*T2^6 - 3543*T1^4*T2^6 + 6335*T1^5*T2^6 - 3543*T1^6*T2^6 - 
      1088*T1^7*T2^6 + 1063*T1^8*T2^6 - 764*T1^3*T2^7 + 1986*T1^4*T2^7 - 
      1088*T1^5*T2^7 - 1088*T1^6*T2^7 + 1986*T1^7*T2^7 - 764*T1^8*T2^7 + 
      213*T1^4*T2^8 - 764*T1^5*T2^8 + 1063*T1^6*T2^8 - 764*T1^7*T2^8 + 
      213*T1^8*T2^8)/(T1^4*T2^4))}, Knot[11, Alternating, 46] -> 
  {((1 - T + T^2)*(2 - 7*T + 11*T^2 - 7*T^3 + 2*T^4))/T^3, 
   (7 - 31*T1 + 68*T1^2 - 85*T1^3 + 68*T1^4 - 31*T1^5 + 7*T1^6 - 31*T2 + 
     106*T1*T2 - 163*T1^2*T2 + 75*T1^3*T2 + 75*T1^4*T2 - 163*T1^5*T2 + 
     106*T1^6*T2 - 31*T1^7*T2 + 68*T2^2 - 163*T1*T2^2 + 107*T1^2*T2^2 + 
     240*T1^3*T2^2 - 399*T1^4*T2^2 + 240*T1^5*T2^2 + 107*T1^6*T2^2 - 
     163*T1^7*T2^2 + 68*T1^8*T2^2 - 85*T2^3 + 75*T1*T2^3 + 240*T1^2*T2^3 - 
     700*T1^3*T2^3 + 338*T1^4*T2^3 + 338*T1^5*T2^3 - 700*T1^6*T2^3 + 
     240*T1^7*T2^3 + 75*T1^8*T2^3 - 85*T1^9*T2^3 + 68*T2^4 + 75*T1*T2^4 - 
     399*T1^2*T2^4 + 338*T1^3*T2^4 + 861*T1^4*T2^4 - 1417*T1^5*T2^4 + 
     861*T1^6*T2^4 + 338*T1^7*T2^4 - 399*T1^8*T2^4 + 75*T1^9*T2^4 + 
     68*T1^10*T2^4 - 31*T2^5 - 163*T1*T2^5 + 240*T1^2*T2^5 + 338*T1^3*T2^5 - 
     1417*T1^4*T2^5 + 714*T1^5*T2^5 + 714*T1^6*T2^5 - 1417*T1^7*T2^5 + 
     338*T1^8*T2^5 + 240*T1^9*T2^5 - 163*T1^10*T2^5 - 31*T1^11*T2^5 + 
     7*T2^6 + 106*T1*T2^6 + 107*T1^2*T2^6 - 700*T1^3*T2^6 + 861*T1^4*T2^6 + 
     714*T1^5*T2^6 - 1488*T1^6*T2^6 + 714*T1^7*T2^6 + 861*T1^8*T2^6 - 
     700*T1^9*T2^6 + 107*T1^10*T2^6 + 106*T1^11*T2^6 + 7*T1^12*T2^6 - 
     31*T1*T2^7 - 163*T1^2*T2^7 + 240*T1^3*T2^7 + 338*T1^4*T2^7 - 
     1417*T1^5*T2^7 + 714*T1^6*T2^7 + 714*T1^7*T2^7 - 1417*T1^8*T2^7 + 
     338*T1^9*T2^7 + 240*T1^10*T2^7 - 163*T1^11*T2^7 - 31*T1^12*T2^7 + 
     68*T1^2*T2^8 + 75*T1^3*T2^8 - 399*T1^4*T2^8 + 338*T1^5*T2^8 + 
     861*T1^6*T2^8 - 1417*T1^7*T2^8 + 861*T1^8*T2^8 + 338*T1^9*T2^8 - 
     399*T1^10*T2^8 + 75*T1^11*T2^8 + 68*T1^12*T2^8 - 85*T1^3*T2^9 + 
     75*T1^4*T2^9 + 240*T1^5*T2^9 - 700*T1^6*T2^9 + 338*T1^7*T2^9 + 
     338*T1^8*T2^9 - 700*T1^9*T2^9 + 240*T1^10*T2^9 + 75*T1^11*T2^9 - 
     85*T1^12*T2^9 + 68*T1^4*T2^10 - 163*T1^5*T2^10 + 107*T1^6*T2^10 + 
     240*T1^7*T2^10 - 399*T1^8*T2^10 + 240*T1^9*T2^10 + 107*T1^10*T2^10 - 
     163*T1^11*T2^10 + 68*T1^12*T2^10 - 31*T1^5*T2^11 + 106*T1^6*T2^11 - 
     163*T1^7*T2^11 + 75*T1^8*T2^11 + 75*T1^9*T2^11 - 163*T1^10*T2^11 + 
     106*T1^11*T2^11 - 31*T1^12*T2^11 + 7*T1^6*T2^12 - 31*T1^7*T2^12 + 
     68*T1^8*T2^12 - 85*T1^9*T2^12 + 68*T1^10*T2^12 - 31*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, Alternating, 47] -> 
  {((1 - T + T^2)^2*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^4, 
   (-2*(1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (T1 - 2*T1^2 + T1^3 + T2 - 5*T1*T2 + 5*T1^2*T2 + 5*T1^3*T2 - 5*T1^4*T2 + 
      T1^5*T2 - 2*T2^2 + 5*T1*T2^2 + 5*T1^2*T2^2 - 26*T1^3*T2^2 + 
      5*T1^4*T2^2 + 5*T1^5*T2^2 - 2*T1^6*T2^2 + T2^3 + 5*T1*T2^3 - 
      26*T1^2*T2^3 + 32*T1^3*T2^3 + 32*T1^4*T2^3 - 26*T1^5*T2^3 + 
      5*T1^6*T2^3 + T1^7*T2^3 - 5*T1*T2^4 + 5*T1^2*T2^4 + 32*T1^3*T2^4 - 
      96*T1^4*T2^4 + 32*T1^5*T2^4 + 5*T1^6*T2^4 - 5*T1^7*T2^4 + T1*T2^5 + 
      5*T1^2*T2^5 - 26*T1^3*T2^5 + 32*T1^4*T2^5 + 32*T1^5*T2^5 - 
      26*T1^6*T2^5 + 5*T1^7*T2^5 + T1^8*T2^5 - 2*T1^2*T2^6 + 5*T1^3*T2^6 + 
      5*T1^4*T2^6 - 26*T1^5*T2^6 + 5*T1^6*T2^6 + 5*T1^7*T2^6 - 2*T1^8*T2^6 + 
      T1^3*T2^7 - 5*T1^4*T2^7 + 5*T1^5*T2^7 + 5*T1^6*T2^7 - 5*T1^7*T2^7 + 
      T1^8*T2^7 + T1^5*T2^8 - 2*T1^6*T2^8 + T1^7*T2^8))/(T1^6*T2^6)}, 
 Knot[11, Alternating, 48] -> 
  {-((2 - 12*T + 26*T^2 - 33*T^3 + 26*T^4 - 12*T^5 + 2*T^6)/T^3), 
   (17 - 101*T1 + 216*T1^2 - 273*T1^3 + 216*T1^4 - 101*T1^5 + 17*T1^6 - 
     101*T2 + 500*T1*T2 - 687*T1^2*T2 + 341*T1^3*T2 + 341*T1^4*T2 - 
     687*T1^5*T2 + 500*T1^6*T2 - 101*T1^7*T2 + 216*T2^2 - 687*T1*T2^2 - 
     560*T1^2*T2^2 + 2804*T1^3*T2^2 - 4068*T1^4*T2^2 + 2804*T1^5*T2^2 - 
     560*T1^6*T2^2 - 687*T1^7*T2^2 + 216*T1^8*T2^2 - 273*T2^3 + 341*T1*T2^3 + 
     2804*T1^2*T2^3 - 4604*T1^3*T2^3 + 2480*T1^4*T2^3 + 2480*T1^5*T2^3 - 
     4604*T1^6*T2^3 + 2804*T1^7*T2^3 + 341*T1^8*T2^3 - 273*T1^9*T2^3 + 
     216*T2^4 + 341*T1*T2^4 - 4068*T1^2*T2^4 + 2480*T1^3*T2^4 + 
     2695*T1^4*T2^4 - 6261*T1^5*T2^4 + 2695*T1^6*T2^4 + 2480*T1^7*T2^4 - 
     4068*T1^8*T2^4 + 341*T1^9*T2^4 + 216*T1^10*T2^4 - 101*T2^5 - 
     687*T1*T2^5 + 2804*T1^2*T2^5 + 2480*T1^3*T2^5 - 6261*T1^4*T2^5 + 
     3902*T1^5*T2^5 + 3902*T1^6*T2^5 - 6261*T1^7*T2^5 + 2480*T1^8*T2^5 + 
     2804*T1^9*T2^5 - 687*T1^10*T2^5 - 101*T1^11*T2^5 + 17*T2^6 + 
     500*T1*T2^6 - 560*T1^2*T2^6 - 4604*T1^3*T2^6 + 2695*T1^4*T2^6 + 
     3902*T1^5*T2^6 - 8724*T1^6*T2^6 + 3902*T1^7*T2^6 + 2695*T1^8*T2^6 - 
     4604*T1^9*T2^6 - 560*T1^10*T2^6 + 500*T1^11*T2^6 + 17*T1^12*T2^6 - 
     101*T1*T2^7 - 687*T1^2*T2^7 + 2804*T1^3*T2^7 + 2480*T1^4*T2^7 - 
     6261*T1^5*T2^7 + 3902*T1^6*T2^7 + 3902*T1^7*T2^7 - 6261*T1^8*T2^7 + 
     2480*T1^9*T2^7 + 2804*T1^10*T2^7 - 687*T1^11*T2^7 - 101*T1^12*T2^7 + 
     216*T1^2*T2^8 + 341*T1^3*T2^8 - 4068*T1^4*T2^8 + 2480*T1^5*T2^8 + 
     2695*T1^6*T2^8 - 6261*T1^7*T2^8 + 2695*T1^8*T2^8 + 2480*T1^9*T2^8 - 
     4068*T1^10*T2^8 + 341*T1^11*T2^8 + 216*T1^12*T2^8 - 273*T1^3*T2^9 + 
     341*T1^4*T2^9 + 2804*T1^5*T2^9 - 4604*T1^6*T2^9 + 2480*T1^7*T2^9 + 
     2480*T1^8*T2^9 - 4604*T1^9*T2^9 + 2804*T1^10*T2^9 + 341*T1^11*T2^9 - 
     273*T1^12*T2^9 + 216*T1^4*T2^10 - 687*T1^5*T2^10 - 560*T1^6*T2^10 + 
     2804*T1^7*T2^10 - 4068*T1^8*T2^10 + 2804*T1^9*T2^10 - 560*T1^10*T2^10 - 
     687*T1^11*T2^10 + 216*T1^12*T2^10 - 101*T1^5*T2^11 + 500*T1^6*T2^11 - 
     687*T1^7*T2^11 + 341*T1^8*T2^11 + 341*T1^9*T2^11 - 687*T1^10*T2^11 + 
     500*T1^11*T2^11 - 101*T1^12*T2^11 + 17*T1^6*T2^12 - 101*T1^7*T2^12 + 
     216*T1^8*T2^12 - 273*T1^9*T2^12 + 216*T1^10*T2^12 - 101*T1^11*T2^12 + 
     17*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, Alternating, 49] -> 
  {-((3 - 13*T + 23*T^2 - 27*T^3 + 23*T^4 - 13*T^5 + 3*T^6)/T^3), 
   -((57 - 245*T1 + 425*T1^2 - 495*T1^3 + 425*T1^4 - 245*T1^5 + 57*T1^6 - 
      245*T2 + 814*T1*T2 - 791*T1^2*T2 + 311*T1^3*T2 + 311*T1^4*T2 - 
      791*T1^5*T2 + 814*T1^6*T2 - 245*T1^7*T2 + 425*T2^2 - 791*T1*T2^2 - 
      921*T1^2*T2^2 + 2465*T1^3*T2^2 - 3023*T1^4*T2^2 + 2465*T1^5*T2^2 - 
      921*T1^6*T2^2 - 791*T1^7*T2^2 + 425*T1^8*T2^2 - 495*T2^3 + 
      311*T1*T2^3 + 2465*T1^2*T2^3 - 2464*T1^3*T2^3 + 956*T1^4*T2^3 + 
      956*T1^5*T2^3 - 2464*T1^6*T2^3 + 2465*T1^7*T2^3 + 311*T1^8*T2^3 - 
      495*T1^9*T2^3 + 425*T2^4 + 311*T1*T2^4 - 3023*T1^2*T2^4 + 
      956*T1^3*T2^4 + 581*T1^4*T2^4 - 1101*T1^5*T2^4 + 581*T1^6*T2^4 + 
      956*T1^7*T2^4 - 3023*T1^8*T2^4 + 311*T1^9*T2^4 + 425*T1^10*T2^4 - 
      245*T2^5 - 791*T1*T2^5 + 2465*T1^2*T2^5 + 956*T1^3*T2^5 - 
      1101*T1^4*T2^5 + 444*T1^5*T2^5 + 444*T1^6*T2^5 - 1101*T1^7*T2^5 + 
      956*T1^8*T2^5 + 2465*T1^9*T2^5 - 791*T1^10*T2^5 - 245*T1^11*T2^5 + 
      57*T2^6 + 814*T1*T2^6 - 921*T1^2*T2^6 - 2464*T1^3*T2^6 + 
      581*T1^4*T2^6 + 444*T1^5*T2^6 - 804*T1^6*T2^6 + 444*T1^7*T2^6 + 
      581*T1^8*T2^6 - 2464*T1^9*T2^6 - 921*T1^10*T2^6 + 814*T1^11*T2^6 + 
      57*T1^12*T2^6 - 245*T1*T2^7 - 791*T1^2*T2^7 + 2465*T1^3*T2^7 + 
      956*T1^4*T2^7 - 1101*T1^5*T2^7 + 444*T1^6*T2^7 + 444*T1^7*T2^7 - 
      1101*T1^8*T2^7 + 956*T1^9*T2^7 + 2465*T1^10*T2^7 - 791*T1^11*T2^7 - 
      245*T1^12*T2^7 + 425*T1^2*T2^8 + 311*T1^3*T2^8 - 3023*T1^4*T2^8 + 
      956*T1^5*T2^8 + 581*T1^6*T2^8 - 1101*T1^7*T2^8 + 581*T1^8*T2^8 + 
      956*T1^9*T2^8 - 3023*T1^10*T2^8 + 311*T1^11*T2^8 + 425*T1^12*T2^8 - 
      495*T1^3*T2^9 + 311*T1^4*T2^9 + 2465*T1^5*T2^9 - 2464*T1^6*T2^9 + 
      956*T1^7*T2^9 + 956*T1^8*T2^9 - 2464*T1^9*T2^9 + 2465*T1^10*T2^9 + 
      311*T1^11*T2^9 - 495*T1^12*T2^9 + 425*T1^4*T2^10 - 791*T1^5*T2^10 - 
      921*T1^6*T2^10 + 2465*T1^7*T2^10 - 3023*T1^8*T2^10 + 2465*T1^9*T2^10 - 
      921*T1^10*T2^10 - 791*T1^11*T2^10 + 425*T1^12*T2^10 - 245*T1^5*T2^11 + 
      814*T1^6*T2^11 - 791*T1^7*T2^11 + 311*T1^8*T2^11 + 311*T1^9*T2^11 - 
      791*T1^10*T2^11 + 814*T1^11*T2^11 - 245*T1^12*T2^11 + 57*T1^6*T2^12 - 
      245*T1^7*T2^12 + 425*T1^8*T2^12 - 495*T1^9*T2^12 + 425*T1^10*T2^12 - 
      245*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, Alternating, 50] -> {-((5 - 21*T + 31*T^2 - 21*T^3 + 5*T^4)/T^2), 
   -((165 - 693*T1 + 1015*T1^2 - 693*T1^3 + 165*T1^4 - 693*T2 + 2224*T1*T2 - 
      1361*T1^2*T2 - 1361*T1^3*T2 + 2224*T1^4*T2 - 693*T1^5*T2 + 1015*T2^2 - 
      1361*T1*T2^2 - 4980*T1^2*T2^2 + 9470*T1^3*T2^2 - 4980*T1^4*T2^2 - 
      1361*T1^5*T2^2 + 1015*T1^6*T2^2 - 693*T2^3 - 1361*T1*T2^3 + 
      9470*T1^2*T2^3 - 6258*T1^3*T2^3 - 6258*T1^4*T2^3 + 9470*T1^5*T2^3 - 
      1361*T1^6*T2^3 - 693*T1^7*T2^3 + 165*T2^4 + 2224*T1*T2^4 - 
      4980*T1^2*T2^4 - 6258*T1^3*T2^4 + 14832*T1^4*T2^4 - 6258*T1^5*T2^4 - 
      4980*T1^6*T2^4 + 2224*T1^7*T2^4 + 165*T1^8*T2^4 - 693*T1*T2^5 - 
      1361*T1^2*T2^5 + 9470*T1^3*T2^5 - 6258*T1^4*T2^5 - 6258*T1^5*T2^5 + 
      9470*T1^6*T2^5 - 1361*T1^7*T2^5 - 693*T1^8*T2^5 + 1015*T1^2*T2^6 - 
      1361*T1^3*T2^6 - 4980*T1^4*T2^6 + 9470*T1^5*T2^6 - 4980*T1^6*T2^6 - 
      1361*T1^7*T2^6 + 1015*T1^8*T2^6 - 693*T1^3*T2^7 + 2224*T1^4*T2^7 - 
      1361*T1^5*T2^7 - 1361*T1^6*T2^7 + 2224*T1^7*T2^7 - 693*T1^8*T2^7 + 
      165*T1^4*T2^8 - 693*T1^5*T2^8 + 1015*T1^6*T2^8 - 693*T1^7*T2^8 + 
      165*T1^8*T2^8)/(T1^4*T2^4))}, Knot[11, Alternating, 51] -> 
  {((1 - 3*T + T^2)*(1 - 6*T + 9*T^2 - 6*T^3 + T^4))/T^3, 
   -((1 - 9*T1 + 28*T1^2 - 39*T1^3 + 28*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
      72*T1*T2 - 171*T1^2*T2 + 99*T1^3*T2 + 99*T1^4*T2 - 171*T1^5*T2 + 
      72*T1^6*T2 - 9*T1^7*T2 + 28*T2^2 - 171*T1*T2^2 + 93*T1^2*T2^2 + 
      874*T1^3*T2^2 - 1515*T1^4*T2^2 + 874*T1^5*T2^2 + 93*T1^6*T2^2 - 
      171*T1^7*T2^2 + 28*T1^8*T2^2 - 39*T2^3 + 99*T1*T2^3 + 874*T1^2*T2^3 - 
      3108*T1^3*T2^3 + 1906*T1^4*T2^3 + 1906*T1^5*T2^3 - 3108*T1^6*T2^3 + 
      874*T1^7*T2^3 + 99*T1^8*T2^3 - 39*T1^9*T2^3 + 28*T2^4 + 99*T1*T2^4 - 
      1515*T1^2*T2^4 + 1906*T1^3*T2^4 + 5319*T1^4*T2^4 - 10343*T1^5*T2^4 + 
      5319*T1^6*T2^4 + 1906*T1^7*T2^4 - 1515*T1^8*T2^4 + 99*T1^9*T2^4 + 
      28*T1^10*T2^4 - 9*T2^5 - 171*T1*T2^5 + 874*T1^2*T2^5 + 1906*T1^3*T2^5 - 
      10343*T1^4*T2^5 + 6640*T1^5*T2^5 + 6640*T1^6*T2^5 - 10343*T1^7*T2^5 + 
      1906*T1^8*T2^5 + 874*T1^9*T2^5 - 171*T1^10*T2^5 - 9*T1^11*T2^5 + T2^6 + 
      72*T1*T2^6 + 93*T1^2*T2^6 - 3108*T1^3*T2^6 + 5319*T1^4*T2^6 + 
      6640*T1^5*T2^6 - 15444*T1^6*T2^6 + 6640*T1^7*T2^6 + 5319*T1^8*T2^6 - 
      3108*T1^9*T2^6 + 93*T1^10*T2^6 + 72*T1^11*T2^6 + T1^12*T2^6 - 
      9*T1*T2^7 - 171*T1^2*T2^7 + 874*T1^3*T2^7 + 1906*T1^4*T2^7 - 
      10343*T1^5*T2^7 + 6640*T1^6*T2^7 + 6640*T1^7*T2^7 - 10343*T1^8*T2^7 + 
      1906*T1^9*T2^7 + 874*T1^10*T2^7 - 171*T1^11*T2^7 - 9*T1^12*T2^7 + 
      28*T1^2*T2^8 + 99*T1^3*T2^8 - 1515*T1^4*T2^8 + 1906*T1^5*T2^8 + 
      5319*T1^6*T2^8 - 10343*T1^7*T2^8 + 5319*T1^8*T2^8 + 1906*T1^9*T2^8 - 
      1515*T1^10*T2^8 + 99*T1^11*T2^8 + 28*T1^12*T2^8 - 39*T1^3*T2^9 + 
      99*T1^4*T2^9 + 874*T1^5*T2^9 - 3108*T1^6*T2^9 + 1906*T1^7*T2^9 + 
      1906*T1^8*T2^9 - 3108*T1^9*T2^9 + 874*T1^10*T2^9 + 99*T1^11*T2^9 - 
      39*T1^12*T2^9 + 28*T1^4*T2^10 - 171*T1^5*T2^10 + 93*T1^6*T2^10 + 
      874*T1^7*T2^10 - 1515*T1^8*T2^10 + 874*T1^9*T2^10 + 93*T1^10*T2^10 - 
      171*T1^11*T2^10 + 28*T1^12*T2^10 - 9*T1^5*T2^11 + 72*T1^6*T2^11 - 
      171*T1^7*T2^11 + 99*T1^8*T2^11 + 99*T1^9*T2^11 - 171*T1^10*T2^11 + 
      72*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 
      28*T1^8*T2^12 - 39*T1^9*T2^12 + 28*T1^10*T2^12 - 9*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, Alternating, 52] -> 
  {-((2 - 13*T + 32*T^2 - 43*T^3 + 32*T^4 - 13*T^5 + 2*T^6)/T^3), 
   -((1 - 6*T1 + 14*T1^2 - 19*T1^3 + 14*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
      30*T1*T2 - 48*T1^2*T2 + 30*T1^3*T2 + 30*T1^4*T2 - 48*T1^5*T2 + 
      30*T1^6*T2 - 6*T1^7*T2 + 14*T2^2 - 48*T1*T2^2 - 24*T1^2*T2^2 + 
      211*T1^3*T2^2 - 374*T1^4*T2^2 + 211*T1^5*T2^2 - 24*T1^6*T2^2 - 
      48*T1^7*T2^2 + 14*T1^8*T2^2 - 19*T2^3 + 30*T1*T2^3 + 211*T1^2*T2^3 - 
      454*T1^3*T2^3 + 348*T1^4*T2^3 + 348*T1^5*T2^3 - 454*T1^6*T2^3 + 
      211*T1^7*T2^3 + 30*T1^8*T2^3 - 19*T1^9*T2^3 + 14*T2^4 + 30*T1*T2^4 - 
      374*T1^2*T2^4 + 348*T1^3*T2^4 + 221*T1^4*T2^4 - 1007*T1^5*T2^4 + 
      221*T1^6*T2^4 + 348*T1^7*T2^4 - 374*T1^8*T2^4 + 30*T1^9*T2^4 + 
      14*T1^10*T2^4 - 6*T2^5 - 48*T1*T2^5 + 211*T1^2*T2^5 + 348*T1^3*T2^5 - 
      1007*T1^4*T2^5 + 928*T1^5*T2^5 + 928*T1^6*T2^5 - 1007*T1^7*T2^5 + 
      348*T1^8*T2^5 + 211*T1^9*T2^5 - 48*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
      30*T1*T2^6 - 24*T1^2*T2^6 - 454*T1^3*T2^6 + 221*T1^4*T2^6 + 
      928*T1^5*T2^6 - 2400*T1^6*T2^6 + 928*T1^7*T2^6 + 221*T1^8*T2^6 - 
      454*T1^9*T2^6 - 24*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 
      6*T1*T2^7 - 48*T1^2*T2^7 + 211*T1^3*T2^7 + 348*T1^4*T2^7 - 
      1007*T1^5*T2^7 + 928*T1^6*T2^7 + 928*T1^7*T2^7 - 1007*T1^8*T2^7 + 
      348*T1^9*T2^7 + 211*T1^10*T2^7 - 48*T1^11*T2^7 - 6*T1^12*T2^7 + 
      14*T1^2*T2^8 + 30*T1^3*T2^8 - 374*T1^4*T2^8 + 348*T1^5*T2^8 + 
      221*T1^6*T2^8 - 1007*T1^7*T2^8 + 221*T1^8*T2^8 + 348*T1^9*T2^8 - 
      374*T1^10*T2^8 + 30*T1^11*T2^8 + 14*T1^12*T2^8 - 19*T1^3*T2^9 + 
      30*T1^4*T2^9 + 211*T1^5*T2^9 - 454*T1^6*T2^9 + 348*T1^7*T2^9 + 
      348*T1^8*T2^9 - 454*T1^9*T2^9 + 211*T1^10*T2^9 + 30*T1^11*T2^9 - 
      19*T1^12*T2^9 + 14*T1^4*T2^10 - 48*T1^5*T2^10 - 24*T1^6*T2^10 + 
      211*T1^7*T2^10 - 374*T1^8*T2^10 + 211*T1^9*T2^10 - 24*T1^10*T2^10 - 
      48*T1^11*T2^10 + 14*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 
      48*T1^7*T2^11 + 30*T1^8*T2^11 + 30*T1^9*T2^11 - 48*T1^10*T2^11 + 
      30*T1^11*T2^11 - 6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 
      14*T1^8*T2^12 - 19*T1^9*T2^12 + 14*T1^10*T2^12 - 6*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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 + 60*T1*T2 - 96*T1^2*T2 + 48*T1^3*T2 - 12*T1^4*T2 - 
      12*T1^5*T2 + 48*T1^6*T2 - 96*T1^7*T2 + 60*T1^8*T2 - 12*T1^9*T2 + 
      28*T2^2 - 96*T1*T2^2 - 13*T1^2*T2^2 + 341*T1^3*T2^2 - 383*T1^4*T2^2 + 
      373*T1^5*T2^2 - 383*T1^6*T2^2 + 341*T1^7*T2^2 - 13*T1^8*T2^2 - 
      96*T1^9*T2^2 + 28*T1^10*T2^2 - 36*T2^3 + 48*T1*T2^3 + 341*T1^2*T2^3 - 
      754*T1^3*T2^3 + 242*T1^4*T2^3 - 37*T1^5*T2^3 - 37*T1^6*T2^3 + 
      242*T1^7*T2^3 - 754*T1^8*T2^3 + 341*T1^9*T2^3 + 48*T1^10*T2^3 - 
      36*T1^11*T2^3 + 38*T2^4 - 12*T1*T2^4 - 383*T1^2*T2^4 + 242*T1^3*T2^4 + 
      1058*T1^4*T2^4 - 994*T1^5*T2^4 + 912*T1^6*T2^4 - 994*T1^7*T2^4 + 
      1058*T1^8*T2^4 + 242*T1^9*T2^4 - 383*T1^10*T2^4 - 12*T1^11*T2^4 + 
      38*T1^12*T2^4 - 36*T2^5 - 12*T1*T2^5 + 373*T1^2*T2^5 - 37*T1^3*T2^5 - 
      994*T1^4*T2^5 + 46*T1^5*T2^5 + 32*T1^6*T2^5 + 32*T1^7*T2^5 + 
      46*T1^8*T2^5 - 994*T1^9*T2^5 - 37*T1^10*T2^5 + 373*T1^11*T2^5 - 
      12*T1^12*T2^5 - 36*T1^13*T2^5 + 28*T2^6 + 48*T1*T2^6 - 383*T1^2*T2^6 - 
      37*T1^3*T2^6 + 912*T1^4*T2^6 + 32*T1^5*T2^6 + 485*T1^6*T2^6 - 
      561*T1^7*T2^6 + 485*T1^8*T2^6 + 32*T1^9*T2^6 + 912*T1^10*T2^6 - 
      37*T1^11*T2^6 - 383*T1^12*T2^6 + 48*T1^13*T2^6 + 28*T1^14*T2^6 - 
      12*T2^7 - 96*T1*T2^7 + 341*T1^2*T2^7 + 242*T1^3*T2^7 - 994*T1^4*T2^7 + 
      32*T1^5*T2^7 - 561*T1^6*T2^7 + 138*T1^7*T2^7 + 138*T1^8*T2^7 - 
      561*T1^9*T2^7 + 32*T1^10*T2^7 - 994*T1^11*T2^7 + 242*T1^12*T2^7 + 
      341*T1^13*T2^7 - 96*T1^14*T2^7 - 12*T1^15*T2^7 + 2*T2^8 + 60*T1*T2^8 - 
      13*T1^2*T2^8 - 754*T1^3*T2^8 + 1058*T1^4*T2^8 + 46*T1^5*T2^8 + 
      485*T1^6*T2^8 + 138*T1^7*T2^8 - 156*T1^8*T2^8 + 138*T1^9*T2^8 + 
      485*T1^10*T2^8 + 46*T1^11*T2^8 + 1058*T1^12*T2^8 - 754*T1^13*T2^8 - 
      13*T1^14*T2^8 + 60*T1^15*T2^8 + 2*T1^16*T2^8 - 12*T1*T2^9 - 
      96*T1^2*T2^9 + 341*T1^3*T2^9 + 242*T1^4*T2^9 - 994*T1^5*T2^9 + 
      32*T1^6*T2^9 - 561*T1^7*T2^9 + 138*T1^8*T2^9 + 138*T1^9*T2^9 - 
      561*T1^10*T2^9 + 32*T1^11*T2^9 - 994*T1^12*T2^9 + 242*T1^13*T2^9 + 
      341*T1^14*T2^9 - 96*T1^15*T2^9 - 12*T1^16*T2^9 + 28*T1^2*T2^10 + 
      48*T1^3*T2^10 - 383*T1^4*T2^10 - 37*T1^5*T2^10 + 912*T1^6*T2^10 + 
      32*T1^7*T2^10 + 485*T1^8*T2^10 - 561*T1^9*T2^10 + 485*T1^10*T2^10 + 
      32*T1^11*T2^10 + 912*T1^12*T2^10 - 37*T1^13*T2^10 - 383*T1^14*T2^10 + 
      48*T1^15*T2^10 + 28*T1^16*T2^10 - 36*T1^3*T2^11 - 12*T1^4*T2^11 + 
      373*T1^5*T2^11 - 37*T1^6*T2^11 - 994*T1^7*T2^11 + 46*T1^8*T2^11 + 
      32*T1^9*T2^11 + 32*T1^10*T2^11 + 46*T1^11*T2^11 - 994*T1^12*T2^11 - 
      37*T1^13*T2^11 + 373*T1^14*T2^11 - 12*T1^15*T2^11 - 36*T1^16*T2^11 + 
      38*T1^4*T2^12 - 12*T1^5*T2^12 - 383*T1^6*T2^12 + 242*T1^7*T2^12 + 
      1058*T1^8*T2^12 - 994*T1^9*T2^12 + 912*T1^10*T2^12 - 994*T1^11*T2^12 + 
      1058*T1^12*T2^12 + 242*T1^13*T2^12 - 383*T1^14*T2^12 - 12*T1^15*T2^12 + 
      38*T1^16*T2^12 - 36*T1^5*T2^13 + 48*T1^6*T2^13 + 341*T1^7*T2^13 - 
      754*T1^8*T2^13 + 242*T1^9*T2^13 - 37*T1^10*T2^13 - 37*T1^11*T2^13 + 
      242*T1^12*T2^13 - 754*T1^13*T2^13 + 341*T1^14*T2^13 + 48*T1^15*T2^13 - 
      36*T1^16*T2^13 + 28*T1^6*T2^14 - 96*T1^7*T2^14 - 13*T1^8*T2^14 + 
      341*T1^9*T2^14 - 383*T1^10*T2^14 + 373*T1^11*T2^14 - 383*T1^12*T2^14 + 
      341*T1^13*T2^14 - 13*T1^14*T2^14 - 96*T1^15*T2^14 + 28*T1^16*T2^14 - 
      12*T1^7*T2^15 + 60*T1^8*T2^15 - 96*T1^9*T2^15 + 48*T1^10*T2^15 - 
      12*T1^11*T2^15 - 12*T1^12*T2^15 + 48*T1^13*T2^15 - 96*T1^14*T2^15 + 
      60*T1^15*T2^15 - 12*T1^16*T2^15 + 2*T1^8*T2^16 - 12*T1^9*T2^16 + 
      28*T1^10*T2^16 - 36*T1^11*T2^16 + 38*T1^12*T2^16 - 36*T1^13*T2^16 + 
      28*T1^14*T2^16 - 12*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[11, Alternating, 54] -> 
  {(2 - 13*T + 33*T^2 - 43*T^3 + 33*T^4 - 13*T^5 + 2*T^6)/T^3, 
   -((9 - 58*T1 + 146*T1^2 - 189*T1^3 + 146*T1^4 - 58*T1^5 + 9*T1^6 - 58*T2 + 
      316*T1*T2 - 568*T1^2*T2 + 278*T1^3*T2 + 278*T1^4*T2 - 568*T1^5*T2 + 
      316*T1^6*T2 - 58*T1^7*T2 + 146*T2^2 - 568*T1*T2^2 + 105*T1^2*T2^2 + 
      2070*T1^3*T2^2 - 3143*T1^4*T2^2 + 2070*T1^5*T2^2 + 105*T1^6*T2^2 - 
      568*T1^7*T2^2 + 146*T1^8*T2^2 - 189*T2^3 + 278*T1*T2^3 + 
      2070*T1^2*T2^3 - 5470*T1^3*T2^3 + 2711*T1^4*T2^3 + 2711*T1^5*T2^3 - 
      5470*T1^6*T2^3 + 2070*T1^7*T2^3 + 278*T1^8*T2^3 - 189*T1^9*T2^3 + 
      146*T2^4 + 278*T1*T2^4 - 3143*T1^2*T2^4 + 2711*T1^3*T2^4 + 
      7558*T1^4*T2^4 - 12494*T1^5*T2^4 + 7558*T1^6*T2^4 + 2711*T1^7*T2^4 - 
      3143*T1^8*T2^4 + 278*T1^9*T2^4 + 146*T1^10*T2^4 - 58*T2^5 - 
      568*T1*T2^5 + 2070*T1^2*T2^5 + 2711*T1^3*T2^5 - 12494*T1^4*T2^5 + 
      6330*T1^5*T2^5 + 6330*T1^6*T2^5 - 12494*T1^7*T2^5 + 2711*T1^8*T2^5 + 
      2070*T1^9*T2^5 - 568*T1^10*T2^5 - 58*T1^11*T2^5 + 9*T2^6 + 
      316*T1*T2^6 + 105*T1^2*T2^6 - 5470*T1^3*T2^6 + 7558*T1^4*T2^6 + 
      6330*T1^5*T2^6 - 13080*T1^6*T2^6 + 6330*T1^7*T2^6 + 7558*T1^8*T2^6 - 
      5470*T1^9*T2^6 + 105*T1^10*T2^6 + 316*T1^11*T2^6 + 9*T1^12*T2^6 - 
      58*T1*T2^7 - 568*T1^2*T2^7 + 2070*T1^3*T2^7 + 2711*T1^4*T2^7 - 
      12494*T1^5*T2^7 + 6330*T1^6*T2^7 + 6330*T1^7*T2^7 - 12494*T1^8*T2^7 + 
      2711*T1^9*T2^7 + 2070*T1^10*T2^7 - 568*T1^11*T2^7 - 58*T1^12*T2^7 + 
      146*T1^2*T2^8 + 278*T1^3*T2^8 - 3143*T1^4*T2^8 + 2711*T1^5*T2^8 + 
      7558*T1^6*T2^8 - 12494*T1^7*T2^8 + 7558*T1^8*T2^8 + 2711*T1^9*T2^8 - 
      3143*T1^10*T2^8 + 278*T1^11*T2^8 + 146*T1^12*T2^8 - 189*T1^3*T2^9 + 
      278*T1^4*T2^9 + 2070*T1^5*T2^9 - 5470*T1^6*T2^9 + 2711*T1^7*T2^9 + 
      2711*T1^8*T2^9 - 5470*T1^9*T2^9 + 2070*T1^10*T2^9 + 278*T1^11*T2^9 - 
      189*T1^12*T2^9 + 146*T1^4*T2^10 - 568*T1^5*T2^10 + 105*T1^6*T2^10 + 
      2070*T1^7*T2^10 - 3143*T1^8*T2^10 + 2070*T1^9*T2^10 + 105*T1^10*T2^10 - 
      568*T1^11*T2^10 + 146*T1^12*T2^10 - 58*T1^5*T2^11 + 316*T1^6*T2^11 - 
      568*T1^7*T2^11 + 278*T1^8*T2^11 + 278*T1^9*T2^11 - 568*T1^10*T2^11 + 
      316*T1^11*T2^11 - 58*T1^12*T2^11 + 9*T1^6*T2^12 - 58*T1^7*T2^12 + 
      146*T1^8*T2^12 - 189*T1^9*T2^12 + 146*T1^10*T2^12 - 58*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, 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), (1 - 5*T1 + 10*T1^2 - 13*T1^3 + 13*T1^4 - 13*T1^5 + 10*T1^6 - 
     5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 25*T1^2*T2 + 15*T1^3*T2 + 15*T1^6*T2 - 
     25*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 10*T2^2 - 25*T1*T2^2 - 
     15*T1^2*T2^2 + 72*T1^3*T2^2 - 101*T1^4*T2^2 + 73*T1^5*T2^2 - 
     101*T1^6*T2^2 + 72*T1^7*T2^2 - 15*T1^8*T2^2 - 25*T1^9*T2^2 + 
     10*T1^10*T2^2 - 13*T2^3 + 15*T1*T2^3 + 72*T1^2*T2^3 - 108*T1^3*T2^3 + 
     69*T1^4*T2^3 + 26*T1^5*T2^3 + 26*T1^6*T2^3 + 69*T1^7*T2^3 - 
     108*T1^8*T2^3 + 72*T1^9*T2^3 + 15*T1^10*T2^3 - 13*T1^11*T2^3 + 13*T2^4 - 
     101*T1^2*T2^4 + 69*T1^3*T2^4 + 17*T1^4*T2^4 - 100*T1^5*T2^4 - 
     19*T1^6*T2^4 - 100*T1^7*T2^4 + 17*T1^8*T2^4 + 69*T1^9*T2^4 - 
     101*T1^10*T2^4 + 13*T1^12*T2^4 - 13*T2^5 + 73*T1^2*T2^5 + 26*T1^3*T2^5 - 
     100*T1^4*T2^5 + 106*T1^5*T2^5 + 56*T1^6*T2^5 + 56*T1^7*T2^5 + 
     106*T1^8*T2^5 - 100*T1^9*T2^5 + 26*T1^10*T2^5 + 73*T1^11*T2^5 - 
     13*T1^13*T2^5 + 10*T2^6 + 15*T1*T2^6 - 101*T1^2*T2^6 + 26*T1^3*T2^6 - 
     19*T1^4*T2^6 + 56*T1^5*T2^6 - 152*T1^6*T2^6 + 22*T1^7*T2^6 - 
     152*T1^8*T2^6 + 56*T1^9*T2^6 - 19*T1^10*T2^6 + 26*T1^11*T2^6 - 
     101*T1^12*T2^6 + 15*T1^13*T2^6 + 10*T1^14*T2^6 - 5*T2^7 - 25*T1*T2^7 + 
     72*T1^2*T2^7 + 69*T1^3*T2^7 - 100*T1^4*T2^7 + 56*T1^5*T2^7 + 
     22*T1^6*T2^7 + 52*T1^7*T2^7 + 52*T1^8*T2^7 + 22*T1^9*T2^7 + 
     56*T1^10*T2^7 - 100*T1^11*T2^7 + 69*T1^12*T2^7 + 72*T1^13*T2^7 - 
     25*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 - 15*T1^2*T2^8 - 
     108*T1^3*T2^8 + 17*T1^4*T2^8 + 106*T1^5*T2^8 - 152*T1^6*T2^8 + 
     52*T1^7*T2^8 - 108*T1^8*T2^8 + 52*T1^9*T2^8 - 152*T1^10*T2^8 + 
     106*T1^11*T2^8 + 17*T1^12*T2^8 - 108*T1^13*T2^8 - 15*T1^14*T2^8 + 
     20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 25*T1^2*T2^9 + 72*T1^3*T2^9 + 
     69*T1^4*T2^9 - 100*T1^5*T2^9 + 56*T1^6*T2^9 + 22*T1^7*T2^9 + 
     52*T1^8*T2^9 + 52*T1^9*T2^9 + 22*T1^10*T2^9 + 56*T1^11*T2^9 - 
     100*T1^12*T2^9 + 69*T1^13*T2^9 + 72*T1^14*T2^9 - 25*T1^15*T2^9 - 
     5*T1^16*T2^9 + 10*T1^2*T2^10 + 15*T1^3*T2^10 - 101*T1^4*T2^10 + 
     26*T1^5*T2^10 - 19*T1^6*T2^10 + 56*T1^7*T2^10 - 152*T1^8*T2^10 + 
     22*T1^9*T2^10 - 152*T1^10*T2^10 + 56*T1^11*T2^10 - 19*T1^12*T2^10 + 
     26*T1^13*T2^10 - 101*T1^14*T2^10 + 15*T1^15*T2^10 + 10*T1^16*T2^10 - 
     13*T1^3*T2^11 + 73*T1^5*T2^11 + 26*T1^6*T2^11 - 100*T1^7*T2^11 + 
     106*T1^8*T2^11 + 56*T1^9*T2^11 + 56*T1^10*T2^11 + 106*T1^11*T2^11 - 
     100*T1^12*T2^11 + 26*T1^13*T2^11 + 73*T1^14*T2^11 - 13*T1^16*T2^11 + 
     13*T1^4*T2^12 - 101*T1^6*T2^12 + 69*T1^7*T2^12 + 17*T1^8*T2^12 - 
     100*T1^9*T2^12 - 19*T1^10*T2^12 - 100*T1^11*T2^12 + 17*T1^12*T2^12 + 
     69*T1^13*T2^12 - 101*T1^14*T2^12 + 13*T1^16*T2^12 - 13*T1^5*T2^13 + 
     15*T1^6*T2^13 + 72*T1^7*T2^13 - 108*T1^8*T2^13 + 69*T1^9*T2^13 + 
     26*T1^10*T2^13 + 26*T1^11*T2^13 + 69*T1^12*T2^13 - 108*T1^13*T2^13 + 
     72*T1^14*T2^13 + 15*T1^15*T2^13 - 13*T1^16*T2^13 + 10*T1^6*T2^14 - 
     25*T1^7*T2^14 - 15*T1^8*T2^14 + 72*T1^9*T2^14 - 101*T1^10*T2^14 + 
     73*T1^11*T2^14 - 101*T1^12*T2^14 + 72*T1^13*T2^14 - 15*T1^14*T2^14 - 
     25*T1^15*T2^14 + 10*T1^16*T2^14 - 5*T1^7*T2^15 + 20*T1^8*T2^15 - 
     25*T1^9*T2^15 + 15*T1^10*T2^15 + 15*T1^13*T2^15 - 25*T1^14*T2^15 + 
     20*T1^15*T2^15 - 5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 
     10*T1^10*T2^16 - 13*T1^11*T2^16 + 13*T1^12*T2^16 - 13*T1^13*T2^16 + 
     10*T1^14*T2^16 - 5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 56] -> 
  {-((2 - 11*T + 25*T^2 - 33*T^3 + 25*T^4 - 11*T^5 + 2*T^6)/T^3), 
   (1 - 5*T1 + 10*T1^2 - 13*T1^3 + 10*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 25*T1^2*T2 + 15*T1^3*T2 + 15*T1^4*T2 - 25*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 10*T2^2 - 25*T1*T2^2 - 15*T1^2*T2^2 + 
     78*T1^3*T2^2 - 141*T1^4*T2^2 + 78*T1^5*T2^2 - 15*T1^6*T2^2 - 
     25*T1^7*T2^2 + 10*T1^8*T2^2 - 13*T2^3 + 15*T1*T2^3 + 78*T1^2*T2^3 - 
     140*T1^3*T2^3 + 121*T1^4*T2^3 + 121*T1^5*T2^3 - 140*T1^6*T2^3 + 
     78*T1^7*T2^3 + 15*T1^8*T2^3 - 13*T1^9*T2^3 + 10*T2^4 + 15*T1*T2^4 - 
     141*T1^2*T2^4 + 121*T1^3*T2^4 + 67*T1^4*T2^4 - 367*T1^5*T2^4 + 
     67*T1^6*T2^4 + 121*T1^7*T2^4 - 141*T1^8*T2^4 + 15*T1^9*T2^4 + 
     10*T1^10*T2^4 - 5*T2^5 - 25*T1*T2^5 + 78*T1^2*T2^5 + 121*T1^3*T2^5 - 
     367*T1^4*T2^5 + 350*T1^5*T2^5 + 350*T1^6*T2^5 - 367*T1^7*T2^5 + 
     121*T1^8*T2^5 + 78*T1^9*T2^5 - 25*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 - 15*T1^2*T2^6 - 140*T1^3*T2^6 + 67*T1^4*T2^6 + 
     350*T1^5*T2^6 - 900*T1^6*T2^6 + 350*T1^7*T2^6 + 67*T1^8*T2^6 - 
     140*T1^9*T2^6 - 15*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     25*T1^2*T2^7 + 78*T1^3*T2^7 + 121*T1^4*T2^7 - 367*T1^5*T2^7 + 
     350*T1^6*T2^7 + 350*T1^7*T2^7 - 367*T1^8*T2^7 + 121*T1^9*T2^7 + 
     78*T1^10*T2^7 - 25*T1^11*T2^7 - 5*T1^12*T2^7 + 10*T1^2*T2^8 + 
     15*T1^3*T2^8 - 141*T1^4*T2^8 + 121*T1^5*T2^8 + 67*T1^6*T2^8 - 
     367*T1^7*T2^8 + 67*T1^8*T2^8 + 121*T1^9*T2^8 - 141*T1^10*T2^8 + 
     15*T1^11*T2^8 + 10*T1^12*T2^8 - 13*T1^3*T2^9 + 15*T1^4*T2^9 + 
     78*T1^5*T2^9 - 140*T1^6*T2^9 + 121*T1^7*T2^9 + 121*T1^8*T2^9 - 
     140*T1^9*T2^9 + 78*T1^10*T2^9 + 15*T1^11*T2^9 - 13*T1^12*T2^9 + 
     10*T1^4*T2^10 - 25*T1^5*T2^10 - 15*T1^6*T2^10 + 78*T1^7*T2^10 - 
     141*T1^8*T2^10 + 78*T1^9*T2^10 - 15*T1^10*T2^10 - 25*T1^11*T2^10 + 
     10*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 25*T1^7*T2^11 + 
     15*T1^8*T2^11 + 15*T1^9*T2^11 - 25*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 10*T1^8*T2^12 - 
     13*T1^9*T2^12 + 10*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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)*
     (1 - 4*T1 + 7*T1^2 - 9*T1^3 + 7*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 12*T1*T2 - 
      12*T1^2*T2 + 8*T1^3*T2 + 8*T1^4*T2 - 12*T1^5*T2 + 12*T1^6*T2 - 
      4*T1^7*T2 + 7*T2^2 - 12*T1*T2^2 - 8*T1^2*T2^2 + 25*T1^3*T2^2 - 
      52*T1^4*T2^2 + 25*T1^5*T2^2 - 8*T1^6*T2^2 - 12*T1^7*T2^2 + 
      7*T1^8*T2^2 - 9*T2^3 + 8*T1*T2^3 + 25*T1^2*T2^3 - 32*T1^3*T2^3 + 
      37*T1^4*T2^3 + 37*T1^5*T2^3 - 32*T1^6*T2^3 + 25*T1^7*T2^3 + 
      8*T1^8*T2^3 - 9*T1^9*T2^3 + 7*T2^4 + 8*T1*T2^4 - 52*T1^2*T2^4 + 
      37*T1^3*T2^4 - 6*T1^4*T2^4 - 68*T1^5*T2^4 - 6*T1^6*T2^4 + 
      37*T1^7*T2^4 - 52*T1^8*T2^4 + 8*T1^9*T2^4 + 7*T1^10*T2^4 - 4*T2^5 - 
      12*T1*T2^5 + 25*T1^2*T2^5 + 37*T1^3*T2^5 - 68*T1^4*T2^5 + 
      66*T1^5*T2^5 + 66*T1^6*T2^5 - 68*T1^7*T2^5 + 37*T1^8*T2^5 + 
      25*T1^9*T2^5 - 12*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 12*T1*T2^6 - 
      8*T1^2*T2^6 - 32*T1^3*T2^6 - 6*T1^4*T2^6 + 66*T1^5*T2^6 - 
      156*T1^6*T2^6 + 66*T1^7*T2^6 - 6*T1^8*T2^6 - 32*T1^9*T2^6 - 
      8*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 12*T1^2*T2^7 + 
      25*T1^3*T2^7 + 37*T1^4*T2^7 - 68*T1^5*T2^7 + 66*T1^6*T2^7 + 
      66*T1^7*T2^7 - 68*T1^8*T2^7 + 37*T1^9*T2^7 + 25*T1^10*T2^7 - 
      12*T1^11*T2^7 - 4*T1^12*T2^7 + 7*T1^2*T2^8 + 8*T1^3*T2^8 - 
      52*T1^4*T2^8 + 37*T1^5*T2^8 - 6*T1^6*T2^8 - 68*T1^7*T2^8 - 
      6*T1^8*T2^8 + 37*T1^9*T2^8 - 52*T1^10*T2^8 + 8*T1^11*T2^8 + 
      7*T1^12*T2^8 - 9*T1^3*T2^9 + 8*T1^4*T2^9 + 25*T1^5*T2^9 - 
      32*T1^6*T2^9 + 37*T1^7*T2^9 + 37*T1^8*T2^9 - 32*T1^9*T2^9 + 
      25*T1^10*T2^9 + 8*T1^11*T2^9 - 9*T1^12*T2^9 + 7*T1^4*T2^10 - 
      12*T1^5*T2^10 - 8*T1^6*T2^10 + 25*T1^7*T2^10 - 52*T1^8*T2^10 + 
      25*T1^9*T2^10 - 8*T1^10*T2^10 - 12*T1^11*T2^10 + 7*T1^12*T2^10 - 
      4*T1^5*T2^11 + 12*T1^6*T2^11 - 12*T1^7*T2^11 + 8*T1^8*T2^11 + 
      8*T1^9*T2^11 - 12*T1^10*T2^11 + 12*T1^11*T2^11 - 4*T1^12*T2^11 + 
      T1^6*T2^12 - 4*T1^7*T2^12 + 7*T1^8*T2^12 - 9*T1^9*T2^12 + 
      7*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12))/(T1^8*T2^8)}, 
 Knot[11, Alternating, 58] -> {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)^2)/T^3), 
   (1 - 5*T1 + 10*T1^2 - 13*T1^3 + 10*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 25*T1^2*T2 + 15*T1^3*T2 + 15*T1^4*T2 - 25*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 10*T2^2 - 25*T1*T2^2 - 14*T1^2*T2^2 + 
     76*T1^3*T2^2 - 138*T1^4*T2^2 + 76*T1^5*T2^2 - 14*T1^6*T2^2 - 
     25*T1^7*T2^2 + 10*T1^8*T2^2 - 13*T2^3 + 15*T1*T2^3 + 76*T1^2*T2^3 - 
     140*T1^3*T2^3 + 119*T1^4*T2^3 + 119*T1^5*T2^3 - 140*T1^6*T2^3 + 
     76*T1^7*T2^3 + 15*T1^8*T2^3 - 13*T1^9*T2^3 + 10*T2^4 + 15*T1*T2^4 - 
     138*T1^2*T2^4 + 119*T1^3*T2^4 + 78*T1^4*T2^4 - 364*T1^5*T2^4 + 
     78*T1^6*T2^4 + 119*T1^7*T2^4 - 138*T1^8*T2^4 + 15*T1^9*T2^4 + 
     10*T1^10*T2^4 - 5*T2^5 - 25*T1*T2^5 + 76*T1^2*T2^5 + 119*T1^3*T2^5 - 
     364*T1^4*T2^5 + 326*T1^5*T2^5 + 326*T1^6*T2^5 - 364*T1^7*T2^5 + 
     119*T1^8*T2^5 + 76*T1^9*T2^5 - 25*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 - 14*T1^2*T2^6 - 140*T1^3*T2^6 + 78*T1^4*T2^6 + 
     326*T1^5*T2^6 - 816*T1^6*T2^6 + 326*T1^7*T2^6 + 78*T1^8*T2^6 - 
     140*T1^9*T2^6 - 14*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     25*T1^2*T2^7 + 76*T1^3*T2^7 + 119*T1^4*T2^7 - 364*T1^5*T2^7 + 
     326*T1^6*T2^7 + 326*T1^7*T2^7 - 364*T1^8*T2^7 + 119*T1^9*T2^7 + 
     76*T1^10*T2^7 - 25*T1^11*T2^7 - 5*T1^12*T2^7 + 10*T1^2*T2^8 + 
     15*T1^3*T2^8 - 138*T1^4*T2^8 + 119*T1^5*T2^8 + 78*T1^6*T2^8 - 
     364*T1^7*T2^8 + 78*T1^8*T2^8 + 119*T1^9*T2^8 - 138*T1^10*T2^8 + 
     15*T1^11*T2^8 + 10*T1^12*T2^8 - 13*T1^3*T2^9 + 15*T1^4*T2^9 + 
     76*T1^5*T2^9 - 140*T1^6*T2^9 + 119*T1^7*T2^9 + 119*T1^8*T2^9 - 
     140*T1^9*T2^9 + 76*T1^10*T2^9 + 15*T1^11*T2^9 - 13*T1^12*T2^9 + 
     10*T1^4*T2^10 - 25*T1^5*T2^10 - 14*T1^6*T2^10 + 76*T1^7*T2^10 - 
     138*T1^8*T2^10 + 76*T1^9*T2^10 - 14*T1^10*T2^10 - 25*T1^11*T2^10 + 
     10*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 25*T1^7*T2^11 + 
     15*T1^8*T2^11 + 15*T1^9*T2^11 - 25*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 10*T1^8*T2^12 - 
     13*T1^9*T2^12 + 10*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 59] -> 
  {-((3 - 11*T + 15*T^2 - 11*T^3 + 3*T^4)/T^2), 
   -((18 - 62*T1 + 84*T1^2 - 62*T1^3 + 18*T1^4 - 62*T2 + 148*T1*T2 - 
      74*T1^2*T2 - 74*T1^3*T2 + 148*T1^4*T2 - 62*T1^5*T2 + 84*T2^2 - 
      74*T1*T2^2 - 249*T1^2*T2^2 + 423*T1^3*T2^2 - 249*T1^4*T2^2 - 
      74*T1^5*T2^2 + 84*T1^6*T2^2 - 62*T2^3 - 74*T1*T2^3 + 423*T1^2*T2^3 - 
      256*T1^3*T2^3 - 256*T1^4*T2^3 + 423*T1^5*T2^3 - 74*T1^6*T2^3 - 
      62*T1^7*T2^3 + 18*T2^4 + 148*T1*T2^4 - 249*T1^2*T2^4 - 256*T1^3*T2^4 + 
      624*T1^4*T2^4 - 256*T1^5*T2^4 - 249*T1^6*T2^4 + 148*T1^7*T2^4 + 
      18*T1^8*T2^4 - 62*T1*T2^5 - 74*T1^2*T2^5 + 423*T1^3*T2^5 - 
      256*T1^4*T2^5 - 256*T1^5*T2^5 + 423*T1^6*T2^5 - 74*T1^7*T2^5 - 
      62*T1^8*T2^5 + 84*T1^2*T2^6 - 74*T1^3*T2^6 - 249*T1^4*T2^6 + 
      423*T1^5*T2^6 - 249*T1^6*T2^6 - 74*T1^7*T2^6 + 84*T1^8*T2^6 - 
      62*T1^3*T2^7 + 148*T1^4*T2^7 - 74*T1^5*T2^7 - 74*T1^6*T2^7 + 
      148*T1^7*T2^7 - 62*T1^8*T2^7 + 18*T1^4*T2^8 - 62*T1^5*T2^8 + 
      84*T1^6*T2^8 - 62*T1^7*T2^8 + 18*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[11, Alternating, 60] -> 
  {-((3 - 12*T + 18*T^2 - 19*T^3 + 18*T^4 - 12*T^5 + 3*T^6)/T^3), 
   -((57 - 228*T1 + 338*T1^2 - 355*T1^3 + 338*T1^4 - 228*T1^5 + 57*T1^6 - 
      228*T2 + 686*T1*T2 - 445*T1^2*T2 + 70*T1^3*T2 + 70*T1^4*T2 - 
      445*T1^5*T2 + 686*T1^6*T2 - 228*T1^7*T2 + 338*T2^2 - 445*T1*T2^2 - 
      1314*T1^2*T2^2 + 2050*T1^3*T2^2 - 1818*T1^4*T2^2 + 2050*T1^5*T2^2 - 
      1314*T1^6*T2^2 - 445*T1^7*T2^2 + 338*T1^8*T2^2 - 355*T2^3 + 
      70*T1*T2^3 + 2050*T1^2*T2^3 - 1100*T1^3*T2^3 - 95*T1^4*T2^3 - 
      95*T1^5*T2^3 - 1100*T1^6*T2^3 + 2050*T1^7*T2^3 + 70*T1^8*T2^3 - 
      355*T1^9*T2^3 + 338*T2^4 + 70*T1*T2^4 - 1818*T1^2*T2^4 - 95*T1^3*T2^4 + 
      447*T1^4*T2^4 + 415*T1^5*T2^4 + 447*T1^6*T2^4 - 95*T1^7*T2^4 - 
      1818*T1^8*T2^4 + 70*T1^9*T2^4 + 338*T1^10*T2^4 - 228*T2^5 - 
      445*T1*T2^5 + 2050*T1^2*T2^5 - 95*T1^3*T2^5 + 415*T1^4*T2^5 - 
      650*T1^5*T2^5 - 650*T1^6*T2^5 + 415*T1^7*T2^5 - 95*T1^8*T2^5 + 
      2050*T1^9*T2^5 - 445*T1^10*T2^5 - 228*T1^11*T2^5 + 57*T2^6 + 
      686*T1*T2^6 - 1314*T1^2*T2^6 - 1100*T1^3*T2^6 + 447*T1^4*T2^6 - 
      650*T1^5*T2^6 + 1512*T1^6*T2^6 - 650*T1^7*T2^6 + 447*T1^8*T2^6 - 
      1100*T1^9*T2^6 - 1314*T1^10*T2^6 + 686*T1^11*T2^6 + 57*T1^12*T2^6 - 
      228*T1*T2^7 - 445*T1^2*T2^7 + 2050*T1^3*T2^7 - 95*T1^4*T2^7 + 
      415*T1^5*T2^7 - 650*T1^6*T2^7 - 650*T1^7*T2^7 + 415*T1^8*T2^7 - 
      95*T1^9*T2^7 + 2050*T1^10*T2^7 - 445*T1^11*T2^7 - 228*T1^12*T2^7 + 
      338*T1^2*T2^8 + 70*T1^3*T2^8 - 1818*T1^4*T2^8 - 95*T1^5*T2^8 + 
      447*T1^6*T2^8 + 415*T1^7*T2^8 + 447*T1^8*T2^8 - 95*T1^9*T2^8 - 
      1818*T1^10*T2^8 + 70*T1^11*T2^8 + 338*T1^12*T2^8 - 355*T1^3*T2^9 + 
      70*T1^4*T2^9 + 2050*T1^5*T2^9 - 1100*T1^6*T2^9 - 95*T1^7*T2^9 - 
      95*T1^8*T2^9 - 1100*T1^9*T2^9 + 2050*T1^10*T2^9 + 70*T1^11*T2^9 - 
      355*T1^12*T2^9 + 338*T1^4*T2^10 - 445*T1^5*T2^10 - 1314*T1^6*T2^10 + 
      2050*T1^7*T2^10 - 1818*T1^8*T2^10 + 2050*T1^9*T2^10 - 
      1314*T1^10*T2^10 - 445*T1^11*T2^10 + 338*T1^12*T2^10 - 228*T1^5*T2^11 + 
      686*T1^6*T2^11 - 445*T1^7*T2^11 + 70*T1^8*T2^11 + 70*T1^9*T2^11 - 
      445*T1^10*T2^11 + 686*T1^11*T2^11 - 228*T1^12*T2^11 + 57*T1^6*T2^12 - 
      228*T1^7*T2^12 + 338*T1^8*T2^12 - 355*T1^9*T2^12 + 338*T1^10*T2^12 - 
      228*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, Alternating, 61] -> {-((6 - 26*T + 39*T^2 - 26*T^3 + 6*T^4)/T^2), 
   -((267 - 1156*T1 + 1721*T1^2 - 1156*T1^3 + 267*T1^4 - 1156*T2 + 
      3858*T1*T2 - 2460*T1^2*T2 - 2460*T1^3*T2 + 3858*T1^4*T2 - 
      1156*T1^5*T2 + 1721*T2^2 - 2460*T1*T2^2 - 8819*T1^2*T2^2 + 
      17395*T1^3*T2^2 - 8819*T1^4*T2^2 - 2460*T1^5*T2^2 + 1721*T1^6*T2^2 - 
      1156*T2^3 - 2460*T1*T2^3 + 17395*T1^2*T2^3 - 12064*T1^3*T2^3 - 
      12064*T1^4*T2^3 + 17395*T1^5*T2^3 - 2460*T1^6*T2^3 - 1156*T1^7*T2^3 + 
      267*T2^4 + 3858*T1*T2^4 - 8819*T1^2*T2^4 - 12064*T1^3*T2^4 + 
      29244*T1^4*T2^4 - 12064*T1^5*T2^4 - 8819*T1^6*T2^4 + 3858*T1^7*T2^4 + 
      267*T1^8*T2^4 - 1156*T1*T2^5 - 2460*T1^2*T2^5 + 17395*T1^3*T2^5 - 
      12064*T1^4*T2^5 - 12064*T1^5*T2^5 + 17395*T1^6*T2^5 - 2460*T1^7*T2^5 - 
      1156*T1^8*T2^5 + 1721*T1^2*T2^6 - 2460*T1^3*T2^6 - 8819*T1^4*T2^6 + 
      17395*T1^5*T2^6 - 8819*T1^6*T2^6 - 2460*T1^7*T2^6 + 1721*T1^8*T2^6 - 
      1156*T1^3*T2^7 + 3858*T1^4*T2^7 - 2460*T1^5*T2^7 - 2460*T1^6*T2^7 + 
      3858*T1^7*T2^7 - 1156*T1^8*T2^7 + 267*T1^4*T2^8 - 1156*T1^5*T2^8 + 
      1721*T1^6*T2^8 - 1156*T1^7*T2^8 + 267*T1^8*T2^8)/(T1^4*T2^4))}, 
 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), 
   (3 - 15*T1 + 24*T1^2 - 27*T1^3 + 27*T1^4 - 27*T1^5 + 24*T1^6 - 15*T1^7 + 
     3*T1^8 - 15*T2 + 60*T1*T2 - 45*T1^2*T2 + 15*T1^3*T2 + 15*T1^6*T2 - 
     45*T1^7*T2 + 60*T1^8*T2 - 15*T1^9*T2 + 24*T2^2 - 45*T1*T2^2 - 
     155*T1^2*T2^2 + 259*T1^3*T2^2 - 262*T1^4*T2^2 + 239*T1^5*T2^2 - 
     262*T1^6*T2^2 + 259*T1^7*T2^2 - 155*T1^8*T2^2 - 45*T1^9*T2^2 + 
     24*T1^10*T2^2 - 27*T2^3 + 15*T1*T2^3 + 259*T1^2*T2^3 - 158*T1^3*T2^3 + 
     23*T1^4*T2^3 + 22*T1^5*T2^3 + 22*T1^6*T2^3 + 23*T1^7*T2^3 - 
     158*T1^8*T2^3 + 259*T1^9*T2^3 + 15*T1^10*T2^3 - 27*T1^11*T2^3 + 
     27*T2^4 - 262*T1^2*T2^4 + 23*T1^3*T2^4 - 14*T1^4*T2^4 + 86*T1^5*T2^4 - 
     156*T1^6*T2^4 + 86*T1^7*T2^4 - 14*T1^8*T2^4 + 23*T1^9*T2^4 - 
     262*T1^10*T2^4 + 27*T1^12*T2^4 - 27*T2^5 + 239*T1^2*T2^5 + 
     22*T1^3*T2^5 + 86*T1^4*T2^5 - 74*T1^5*T2^5 + 47*T1^6*T2^5 + 
     47*T1^7*T2^5 - 74*T1^8*T2^5 + 86*T1^9*T2^5 + 22*T1^10*T2^5 + 
     239*T1^11*T2^5 - 27*T1^13*T2^5 + 24*T2^6 + 15*T1*T2^6 - 262*T1^2*T2^6 + 
     22*T1^3*T2^6 - 156*T1^4*T2^6 + 47*T1^5*T2^6 - 56*T1^6*T2^6 + 
     34*T1^7*T2^6 - 56*T1^8*T2^6 + 47*T1^9*T2^6 - 156*T1^10*T2^6 + 
     22*T1^11*T2^6 - 262*T1^12*T2^6 + 15*T1^13*T2^6 + 24*T1^14*T2^6 - 
     15*T2^7 - 45*T1*T2^7 + 259*T1^2*T2^7 + 23*T1^3*T2^7 + 86*T1^4*T2^7 + 
     47*T1^5*T2^7 + 34*T1^6*T2^7 - 6*T1^7*T2^7 - 6*T1^8*T2^7 + 34*T1^9*T2^7 + 
     47*T1^10*T2^7 + 86*T1^11*T2^7 + 23*T1^12*T2^7 + 259*T1^13*T2^7 - 
     45*T1^14*T2^7 - 15*T1^15*T2^7 + 3*T2^8 + 60*T1*T2^8 - 155*T1^2*T2^8 - 
     158*T1^3*T2^8 - 14*T1^4*T2^8 - 74*T1^5*T2^8 - 56*T1^6*T2^8 - 
     6*T1^7*T2^8 + 12*T1^8*T2^8 - 6*T1^9*T2^8 - 56*T1^10*T2^8 - 
     74*T1^11*T2^8 - 14*T1^12*T2^8 - 158*T1^13*T2^8 - 155*T1^14*T2^8 + 
     60*T1^15*T2^8 + 3*T1^16*T2^8 - 15*T1*T2^9 - 45*T1^2*T2^9 + 
     259*T1^3*T2^9 + 23*T1^4*T2^9 + 86*T1^5*T2^9 + 47*T1^6*T2^9 + 
     34*T1^7*T2^9 - 6*T1^8*T2^9 - 6*T1^9*T2^9 + 34*T1^10*T2^9 + 
     47*T1^11*T2^9 + 86*T1^12*T2^9 + 23*T1^13*T2^9 + 259*T1^14*T2^9 - 
     45*T1^15*T2^9 - 15*T1^16*T2^9 + 24*T1^2*T2^10 + 15*T1^3*T2^10 - 
     262*T1^4*T2^10 + 22*T1^5*T2^10 - 156*T1^6*T2^10 + 47*T1^7*T2^10 - 
     56*T1^8*T2^10 + 34*T1^9*T2^10 - 56*T1^10*T2^10 + 47*T1^11*T2^10 - 
     156*T1^12*T2^10 + 22*T1^13*T2^10 - 262*T1^14*T2^10 + 15*T1^15*T2^10 + 
     24*T1^16*T2^10 - 27*T1^3*T2^11 + 239*T1^5*T2^11 + 22*T1^6*T2^11 + 
     86*T1^7*T2^11 - 74*T1^8*T2^11 + 47*T1^9*T2^11 + 47*T1^10*T2^11 - 
     74*T1^11*T2^11 + 86*T1^12*T2^11 + 22*T1^13*T2^11 + 239*T1^14*T2^11 - 
     27*T1^16*T2^11 + 27*T1^4*T2^12 - 262*T1^6*T2^12 + 23*T1^7*T2^12 - 
     14*T1^8*T2^12 + 86*T1^9*T2^12 - 156*T1^10*T2^12 + 86*T1^11*T2^12 - 
     14*T1^12*T2^12 + 23*T1^13*T2^12 - 262*T1^14*T2^12 + 27*T1^16*T2^12 - 
     27*T1^5*T2^13 + 15*T1^6*T2^13 + 259*T1^7*T2^13 - 158*T1^8*T2^13 + 
     23*T1^9*T2^13 + 22*T1^10*T2^13 + 22*T1^11*T2^13 + 23*T1^12*T2^13 - 
     158*T1^13*T2^13 + 259*T1^14*T2^13 + 15*T1^15*T2^13 - 27*T1^16*T2^13 + 
     24*T1^6*T2^14 - 45*T1^7*T2^14 - 155*T1^8*T2^14 + 259*T1^9*T2^14 - 
     262*T1^10*T2^14 + 239*T1^11*T2^14 - 262*T1^12*T2^14 + 259*T1^13*T2^14 - 
     155*T1^14*T2^14 - 45*T1^15*T2^14 + 24*T1^16*T2^14 - 15*T1^7*T2^15 + 
     60*T1^8*T2^15 - 45*T1^9*T2^15 + 15*T1^10*T2^15 + 15*T1^13*T2^15 - 
     45*T1^14*T2^15 + 60*T1^15*T2^15 - 15*T1^16*T2^15 + 3*T1^8*T2^16 - 
     15*T1^9*T2^16 + 24*T1^10*T2^16 - 27*T1^11*T2^16 + 27*T1^12*T2^16 - 
     27*T1^13*T2^16 + 24*T1^14*T2^16 - 15*T1^15*T2^16 + 3*T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[11, Alternating, 63] -> 
  {-((2 - 11*T + 21*T^2 - 25*T^3 + 21*T^4 - 11*T^5 + 2*T^6)/T^3), 
   (17 - 93*T1 + 176*T1^2 - 209*T1^3 + 176*T1^4 - 93*T1^5 + 17*T1^6 - 93*T2 + 
     416*T1*T2 - 455*T1^2*T2 + 181*T1^3*T2 + 181*T1^4*T2 - 455*T1^5*T2 + 
     416*T1^6*T2 - 93*T1^7*T2 + 176*T2^2 - 455*T1*T2^2 - 751*T1^2*T2^2 + 
     2086*T1^3*T2^2 - 2547*T1^4*T2^2 + 2086*T1^5*T2^2 - 751*T1^6*T2^2 - 
     455*T1^7*T2^2 + 176*T1^8*T2^2 - 209*T2^3 + 181*T1*T2^3 + 
     2086*T1^2*T2^3 - 2410*T1^3*T2^3 + 905*T1^4*T2^3 + 905*T1^5*T2^3 - 
     2410*T1^6*T2^3 + 2086*T1^7*T2^3 + 181*T1^8*T2^3 - 209*T1^9*T2^3 + 
     176*T2^4 + 181*T1*T2^4 - 2547*T1^2*T2^4 + 905*T1^3*T2^4 + 
     1169*T1^4*T2^4 - 1715*T1^5*T2^4 + 1169*T1^6*T2^4 + 905*T1^7*T2^4 - 
     2547*T1^8*T2^4 + 181*T1^9*T2^4 + 176*T1^10*T2^4 - 93*T2^5 - 
     455*T1*T2^5 + 2086*T1^2*T2^5 + 905*T1^3*T2^5 - 1715*T1^4*T2^5 + 
     592*T1^5*T2^5 + 592*T1^6*T2^5 - 1715*T1^7*T2^5 + 905*T1^8*T2^5 + 
     2086*T1^9*T2^5 - 455*T1^10*T2^5 - 93*T1^11*T2^5 + 17*T2^6 + 
     416*T1*T2^6 - 751*T1^2*T2^6 - 2410*T1^3*T2^6 + 1169*T1^4*T2^6 + 
     592*T1^5*T2^6 - 972*T1^6*T2^6 + 592*T1^7*T2^6 + 1169*T1^8*T2^6 - 
     2410*T1^9*T2^6 - 751*T1^10*T2^6 + 416*T1^11*T2^6 + 17*T1^12*T2^6 - 
     93*T1*T2^7 - 455*T1^2*T2^7 + 2086*T1^3*T2^7 + 905*T1^4*T2^7 - 
     1715*T1^5*T2^7 + 592*T1^6*T2^7 + 592*T1^7*T2^7 - 1715*T1^8*T2^7 + 
     905*T1^9*T2^7 + 2086*T1^10*T2^7 - 455*T1^11*T2^7 - 93*T1^12*T2^7 + 
     176*T1^2*T2^8 + 181*T1^3*T2^8 - 2547*T1^4*T2^8 + 905*T1^5*T2^8 + 
     1169*T1^6*T2^8 - 1715*T1^7*T2^8 + 1169*T1^8*T2^8 + 905*T1^9*T2^8 - 
     2547*T1^10*T2^8 + 181*T1^11*T2^8 + 176*T1^12*T2^8 - 209*T1^3*T2^9 + 
     181*T1^4*T2^9 + 2086*T1^5*T2^9 - 2410*T1^6*T2^9 + 905*T1^7*T2^9 + 
     905*T1^8*T2^9 - 2410*T1^9*T2^9 + 2086*T1^10*T2^9 + 181*T1^11*T2^9 - 
     209*T1^12*T2^9 + 176*T1^4*T2^10 - 455*T1^5*T2^10 - 751*T1^6*T2^10 + 
     2086*T1^7*T2^10 - 2547*T1^8*T2^10 + 2086*T1^9*T2^10 - 751*T1^10*T2^10 - 
     455*T1^11*T2^10 + 176*T1^12*T2^10 - 93*T1^5*T2^11 + 416*T1^6*T2^11 - 
     455*T1^7*T2^11 + 181*T1^8*T2^11 + 181*T1^9*T2^11 - 455*T1^10*T2^11 + 
     416*T1^11*T2^11 - 93*T1^12*T2^11 + 17*T1^6*T2^12 - 93*T1^7*T2^12 + 
     176*T1^8*T2^12 - 209*T1^9*T2^12 + 176*T1^10*T2^12 - 93*T1^11*T2^12 + 
     17*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, Alternating, 64] -> 
  {-((2 - 11*T + 22*T^2 - 27*T^3 + 22*T^4 - 11*T^5 + 2*T^6)/T^3), 
   (17 - 93*T1 + 184*T1^2 - 225*T1^3 + 184*T1^4 - 93*T1^5 + 17*T1^6 - 93*T2 + 
     416*T1*T2 - 499*T1^2*T2 + 225*T1^3*T2 + 225*T1^4*T2 - 499*T1^5*T2 + 
     416*T1^6*T2 - 93*T1^7*T2 + 184*T2^2 - 499*T1*T2^2 - 595*T1^2*T2^2 + 
     2070*T1^3*T2^2 - 2769*T1^4*T2^2 + 2070*T1^5*T2^2 - 595*T1^6*T2^2 - 
     499*T1^7*T2^2 + 184*T1^8*T2^2 - 225*T2^3 + 225*T1*T2^3 + 
     2070*T1^2*T2^3 - 2786*T1^3*T2^3 + 1319*T1^4*T2^3 + 1319*T1^5*T2^3 - 
     2786*T1^6*T2^3 + 2070*T1^7*T2^3 + 225*T1^8*T2^3 - 225*T1^9*T2^3 + 
     184*T2^4 + 225*T1*T2^4 - 2769*T1^2*T2^4 + 1319*T1^3*T2^4 + 
     1302*T1^4*T2^4 - 2766*T1^5*T2^4 + 1302*T1^6*T2^4 + 1319*T1^7*T2^4 - 
     2769*T1^8*T2^4 + 225*T1^9*T2^4 + 184*T1^10*T2^4 - 93*T2^5 - 
     499*T1*T2^5 + 2070*T1^2*T2^5 + 1319*T1^3*T2^5 - 2766*T1^4*T2^5 + 
     1548*T1^5*T2^5 + 1548*T1^6*T2^5 - 2766*T1^7*T2^5 + 1319*T1^8*T2^5 + 
     2070*T1^9*T2^5 - 499*T1^10*T2^5 - 93*T1^11*T2^5 + 17*T2^6 + 
     416*T1*T2^6 - 595*T1^2*T2^6 - 2786*T1^3*T2^6 + 1302*T1^4*T2^6 + 
     1548*T1^5*T2^6 - 3324*T1^6*T2^6 + 1548*T1^7*T2^6 + 1302*T1^8*T2^6 - 
     2786*T1^9*T2^6 - 595*T1^10*T2^6 + 416*T1^11*T2^6 + 17*T1^12*T2^6 - 
     93*T1*T2^7 - 499*T1^2*T2^7 + 2070*T1^3*T2^7 + 1319*T1^4*T2^7 - 
     2766*T1^5*T2^7 + 1548*T1^6*T2^7 + 1548*T1^7*T2^7 - 2766*T1^8*T2^7 + 
     1319*T1^9*T2^7 + 2070*T1^10*T2^7 - 499*T1^11*T2^7 - 93*T1^12*T2^7 + 
     184*T1^2*T2^8 + 225*T1^3*T2^8 - 2769*T1^4*T2^8 + 1319*T1^5*T2^8 + 
     1302*T1^6*T2^8 - 2766*T1^7*T2^8 + 1302*T1^8*T2^8 + 1319*T1^9*T2^8 - 
     2769*T1^10*T2^8 + 225*T1^11*T2^8 + 184*T1^12*T2^8 - 225*T1^3*T2^9 + 
     225*T1^4*T2^9 + 2070*T1^5*T2^9 - 2786*T1^6*T2^9 + 1319*T1^7*T2^9 + 
     1319*T1^8*T2^9 - 2786*T1^9*T2^9 + 2070*T1^10*T2^9 + 225*T1^11*T2^9 - 
     225*T1^12*T2^9 + 184*T1^4*T2^10 - 499*T1^5*T2^10 - 595*T1^6*T2^10 + 
     2070*T1^7*T2^10 - 2769*T1^8*T2^10 + 2070*T1^9*T2^10 - 595*T1^10*T2^10 - 
     499*T1^11*T2^10 + 184*T1^12*T2^10 - 93*T1^5*T2^11 + 416*T1^6*T2^11 - 
     499*T1^7*T2^11 + 225*T1^8*T2^11 + 225*T1^9*T2^11 - 499*T1^10*T2^11 + 
     416*T1^11*T2^11 - 93*T1^12*T2^11 + 17*T1^6*T2^12 - 93*T1^7*T2^12 + 
     184*T1^8*T2^12 - 225*T1^9*T2^12 + 184*T1^10*T2^12 - 93*T1^11*T2^12 + 
     17*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, Alternating, 65] -> 
  {-((3 - 15*T + 23*T^2 - 15*T^3 + 3*T^4)/T^2), 
   (36 - 180*T1 + 274*T1^2 - 180*T1^3 + 36*T1^4 - 180*T2 + 720*T1*T2 - 
     470*T1^2*T2 - 470*T1^3*T2 + 720*T1^4*T2 - 180*T1^5*T2 + 274*T2^2 - 
     470*T1*T2^2 - 2107*T1^2*T2^2 + 4053*T1^3*T2^2 - 2107*T1^4*T2^2 - 
     470*T1^5*T2^2 + 274*T1^6*T2^2 - 180*T2^3 - 470*T1*T2^3 + 
     4053*T1^2*T2^3 - 2824*T1^3*T2^3 - 2824*T1^4*T2^3 + 4053*T1^5*T2^3 - 
     470*T1^6*T2^3 - 180*T1^7*T2^3 + 36*T2^4 + 720*T1*T2^4 - 2107*T1^2*T2^4 - 
     2824*T1^3*T2^4 + 6888*T1^4*T2^4 - 2824*T1^5*T2^4 - 2107*T1^6*T2^4 + 
     720*T1^7*T2^4 + 36*T1^8*T2^4 - 180*T1*T2^5 - 470*T1^2*T2^5 + 
     4053*T1^3*T2^5 - 2824*T1^4*T2^5 - 2824*T1^5*T2^5 + 4053*T1^6*T2^5 - 
     470*T1^7*T2^5 - 180*T1^8*T2^5 + 274*T1^2*T2^6 - 470*T1^3*T2^6 - 
     2107*T1^4*T2^6 + 4053*T1^5*T2^6 - 2107*T1^6*T2^6 - 470*T1^7*T2^6 + 
     274*T1^8*T2^6 - 180*T1^3*T2^7 + 720*T1^4*T2^7 - 470*T1^5*T2^7 - 
     470*T1^6*T2^7 + 720*T1^7*T2^7 - 180*T1^8*T2^7 + 36*T1^4*T2^8 - 
     180*T1^5*T2^8 + 274*T1^6*T2^8 - 180*T1^7*T2^8 + 36*T1^8*T2^8)/
    (T1^4*T2^4)}, 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), (1 - 6*T1 + 15*T1^2 - 24*T1^3 + 27*T1^4 - 24*T1^5 + 15*T1^6 - 
     6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 54*T1^2*T2 + 54*T1^3*T2 - 18*T1^4*T2 - 
     18*T1^5*T2 + 54*T1^6*T2 - 54*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 
     15*T2^2 - 54*T1*T2^2 + 24*T1^2*T2^2 + 91*T1^3*T2^2 - 239*T1^4*T2^2 + 
     260*T1^5*T2^2 - 239*T1^6*T2^2 + 91*T1^7*T2^2 + 24*T1^8*T2^2 - 
     54*T1^9*T2^2 + 15*T1^10*T2^2 - 24*T2^3 + 54*T1*T2^3 + 91*T1^2*T2^3 - 
     268*T1^3*T2^3 + 336*T1^4*T2^3 - 76*T1^5*T2^3 - 76*T1^6*T2^3 + 
     336*T1^7*T2^3 - 268*T1^8*T2^3 + 91*T1^9*T2^3 + 54*T1^10*T2^3 - 
     24*T1^11*T2^3 + 27*T2^4 - 18*T1*T2^4 - 239*T1^2*T2^4 + 336*T1^3*T2^4 - 
     223*T1^4*T2^4 - 238*T1^5*T2^4 + 169*T1^6*T2^4 - 238*T1^7*T2^4 - 
     223*T1^8*T2^4 + 336*T1^9*T2^4 - 239*T1^10*T2^4 - 18*T1^11*T2^4 + 
     27*T1^12*T2^4 - 24*T2^5 - 18*T1*T2^5 + 260*T1^2*T2^5 - 76*T1^3*T2^5 - 
     238*T1^4*T2^5 + 662*T1^5*T2^5 - 83*T1^6*T2^5 - 83*T1^7*T2^5 + 
     662*T1^8*T2^5 - 238*T1^9*T2^5 - 76*T1^10*T2^5 + 260*T1^11*T2^5 - 
     18*T1^12*T2^5 - 24*T1^13*T2^5 + 15*T2^6 + 54*T1*T2^6 - 239*T1^2*T2^6 - 
     76*T1^3*T2^6 + 169*T1^4*T2^6 - 83*T1^5*T2^6 - 1022*T1^6*T2^6 + 
     990*T1^7*T2^6 - 1022*T1^8*T2^6 - 83*T1^9*T2^6 + 169*T1^10*T2^6 - 
     76*T1^11*T2^6 - 239*T1^12*T2^6 + 54*T1^13*T2^6 + 15*T1^14*T2^6 - 
     6*T2^7 - 54*T1*T2^7 + 91*T1^2*T2^7 + 336*T1^3*T2^7 - 238*T1^4*T2^7 - 
     83*T1^5*T2^7 + 990*T1^6*T2^7 - 210*T1^7*T2^7 - 210*T1^8*T2^7 + 
     990*T1^9*T2^7 - 83*T1^10*T2^7 - 238*T1^11*T2^7 + 336*T1^12*T2^7 + 
     91*T1^13*T2^7 - 54*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 
     24*T1^2*T2^8 - 268*T1^3*T2^8 - 223*T1^4*T2^8 + 662*T1^5*T2^8 - 
     1022*T1^6*T2^8 - 210*T1^7*T2^8 + 264*T1^8*T2^8 - 210*T1^9*T2^8 - 
     1022*T1^10*T2^8 + 662*T1^11*T2^8 - 223*T1^12*T2^8 - 268*T1^13*T2^8 + 
     24*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 54*T1^2*T2^9 + 
     91*T1^3*T2^9 + 336*T1^4*T2^9 - 238*T1^5*T2^9 - 83*T1^6*T2^9 + 
     990*T1^7*T2^9 - 210*T1^8*T2^9 - 210*T1^9*T2^9 + 990*T1^10*T2^9 - 
     83*T1^11*T2^9 - 238*T1^12*T2^9 + 336*T1^13*T2^9 + 91*T1^14*T2^9 - 
     54*T1^15*T2^9 - 6*T1^16*T2^9 + 15*T1^2*T2^10 + 54*T1^3*T2^10 - 
     239*T1^4*T2^10 - 76*T1^5*T2^10 + 169*T1^6*T2^10 - 83*T1^7*T2^10 - 
     1022*T1^8*T2^10 + 990*T1^9*T2^10 - 1022*T1^10*T2^10 - 83*T1^11*T2^10 + 
     169*T1^12*T2^10 - 76*T1^13*T2^10 - 239*T1^14*T2^10 + 54*T1^15*T2^10 + 
     15*T1^16*T2^10 - 24*T1^3*T2^11 - 18*T1^4*T2^11 + 260*T1^5*T2^11 - 
     76*T1^6*T2^11 - 238*T1^7*T2^11 + 662*T1^8*T2^11 - 83*T1^9*T2^11 - 
     83*T1^10*T2^11 + 662*T1^11*T2^11 - 238*T1^12*T2^11 - 76*T1^13*T2^11 + 
     260*T1^14*T2^11 - 18*T1^15*T2^11 - 24*T1^16*T2^11 + 27*T1^4*T2^12 - 
     18*T1^5*T2^12 - 239*T1^6*T2^12 + 336*T1^7*T2^12 - 223*T1^8*T2^12 - 
     238*T1^9*T2^12 + 169*T1^10*T2^12 - 238*T1^11*T2^12 - 223*T1^12*T2^12 + 
     336*T1^13*T2^12 - 239*T1^14*T2^12 - 18*T1^15*T2^12 + 27*T1^16*T2^12 - 
     24*T1^5*T2^13 + 54*T1^6*T2^13 + 91*T1^7*T2^13 - 268*T1^8*T2^13 + 
     336*T1^9*T2^13 - 76*T1^10*T2^13 - 76*T1^11*T2^13 + 336*T1^12*T2^13 - 
     268*T1^13*T2^13 + 91*T1^14*T2^13 + 54*T1^15*T2^13 - 24*T1^16*T2^13 + 
     15*T1^6*T2^14 - 54*T1^7*T2^14 + 24*T1^8*T2^14 + 91*T1^9*T2^14 - 
     239*T1^10*T2^14 + 260*T1^11*T2^14 - 239*T1^12*T2^14 + 91*T1^13*T2^14 + 
     24*T1^14*T2^14 - 54*T1^15*T2^14 + 15*T1^16*T2^14 - 6*T1^7*T2^15 + 
     30*T1^8*T2^15 - 54*T1^9*T2^15 + 54*T1^10*T2^15 - 18*T1^11*T2^15 - 
     18*T1^12*T2^15 + 54*T1^13*T2^15 - 54*T1^14*T2^15 + 30*T1^15*T2^15 - 
     6*T1^16*T2^15 + T1^8*T2^16 - 6*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 - 
     6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 67] -> 
  {-(((1 - 3*T + T^2)*(2 - 2*T + T^2)*(1 - 2*T + 2*T^2))/T^3), 
   (1 - 6*T1 + 14*T1^2 - 19*T1^3 + 14*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     30*T1*T2 - 48*T1^2*T2 + 30*T1^3*T2 + 30*T1^4*T2 - 48*T1^5*T2 + 
     30*T1^6*T2 - 6*T1^7*T2 + 14*T2^2 - 48*T1*T2^2 - 6*T1^2*T2^2 + 
     145*T1^3*T2^2 - 284*T1^4*T2^2 + 145*T1^5*T2^2 - 6*T1^6*T2^2 - 
     48*T1^7*T2^2 + 14*T1^8*T2^2 - 19*T2^3 + 30*T1*T2^3 + 145*T1^2*T2^3 - 
     258*T1^3*T2^3 + 251*T1^4*T2^3 + 251*T1^5*T2^3 - 258*T1^6*T2^3 + 
     145*T1^7*T2^3 + 30*T1^8*T2^3 - 19*T1^9*T2^3 + 14*T2^4 + 30*T1*T2^4 - 
     284*T1^2*T2^4 + 251*T1^3*T2^4 - 282*T1^4*T2^4 - 260*T1^5*T2^4 - 
     282*T1^6*T2^4 + 251*T1^7*T2^4 - 284*T1^8*T2^4 + 30*T1^9*T2^4 + 
     14*T1^10*T2^4 - 6*T2^5 - 48*T1*T2^5 + 145*T1^2*T2^5 + 251*T1^3*T2^5 - 
     260*T1^4*T2^5 + 638*T1^5*T2^5 + 638*T1^6*T2^5 - 260*T1^7*T2^5 + 
     251*T1^8*T2^5 + 145*T1^9*T2^5 - 48*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     30*T1*T2^6 - 6*T1^2*T2^6 - 258*T1^3*T2^6 - 282*T1^4*T2^6 + 
     638*T1^5*T2^6 - 1992*T1^6*T2^6 + 638*T1^7*T2^6 - 282*T1^8*T2^6 - 
     258*T1^9*T2^6 - 6*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
     48*T1^2*T2^7 + 145*T1^3*T2^7 + 251*T1^4*T2^7 - 260*T1^5*T2^7 + 
     638*T1^6*T2^7 + 638*T1^7*T2^7 - 260*T1^8*T2^7 + 251*T1^9*T2^7 + 
     145*T1^10*T2^7 - 48*T1^11*T2^7 - 6*T1^12*T2^7 + 14*T1^2*T2^8 + 
     30*T1^3*T2^8 - 284*T1^4*T2^8 + 251*T1^5*T2^8 - 282*T1^6*T2^8 - 
     260*T1^7*T2^8 - 282*T1^8*T2^8 + 251*T1^9*T2^8 - 284*T1^10*T2^8 + 
     30*T1^11*T2^8 + 14*T1^12*T2^8 - 19*T1^3*T2^9 + 30*T1^4*T2^9 + 
     145*T1^5*T2^9 - 258*T1^6*T2^9 + 251*T1^7*T2^9 + 251*T1^8*T2^9 - 
     258*T1^9*T2^9 + 145*T1^10*T2^9 + 30*T1^11*T2^9 - 19*T1^12*T2^9 + 
     14*T1^4*T2^10 - 48*T1^5*T2^10 - 6*T1^6*T2^10 + 145*T1^7*T2^10 - 
     284*T1^8*T2^10 + 145*T1^9*T2^10 - 6*T1^10*T2^10 - 48*T1^11*T2^10 + 
     14*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 48*T1^7*T2^11 + 
     30*T1^8*T2^11 + 30*T1^9*T2^11 - 48*T1^10*T2^11 + 30*T1^11*T2^11 - 
     6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 14*T1^8*T2^12 - 
     19*T1^9*T2^12 + 14*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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), -((1 - 6*T1 + 14*T1^2 - 20*T1^3 + 21*T1^4 - 20*T1^5 + 14*T1^6 - 
      6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 48*T1^2*T2 + 36*T1^3*T2 - 6*T1^4*T2 - 
      6*T1^5*T2 + 36*T1^6*T2 - 48*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 
      14*T2^2 - 48*T1*T2^2 - 7*T1^2*T2^2 + 145*T1^3*T2^2 - 241*T1^4*T2^2 + 
      211*T1^5*T2^2 - 241*T1^6*T2^2 + 145*T1^7*T2^2 - 7*T1^8*T2^2 - 
      48*T1^9*T2^2 + 14*T1^10*T2^2 - 20*T2^3 + 36*T1*T2^3 + 145*T1^2*T2^3 - 
      318*T1^3*T2^3 + 247*T1^4*T2^3 + 7*T1^5*T2^3 + 7*T1^6*T2^3 + 
      247*T1^7*T2^3 - 318*T1^8*T2^3 + 145*T1^9*T2^3 + 36*T1^10*T2^3 - 
      20*T1^11*T2^3 + 21*T2^4 - 6*T1*T2^4 - 241*T1^2*T2^4 + 247*T1^3*T2^4 + 
      92*T1^4*T2^4 - 408*T1^5*T2^4 + 192*T1^6*T2^4 - 408*T1^7*T2^4 + 
      92*T1^8*T2^4 + 247*T1^9*T2^4 - 241*T1^10*T2^4 - 6*T1^11*T2^4 + 
      21*T1^12*T2^4 - 20*T2^5 - 6*T1*T2^5 + 211*T1^2*T2^5 + 7*T1^3*T2^5 - 
      408*T1^4*T2^5 + 462*T1^5*T2^5 + 47*T1^6*T2^5 + 47*T1^7*T2^5 + 
      462*T1^8*T2^5 - 408*T1^9*T2^5 + 7*T1^10*T2^5 + 211*T1^11*T2^5 - 
      6*T1^12*T2^5 - 20*T1^13*T2^5 + 14*T2^6 + 36*T1*T2^6 - 241*T1^2*T2^6 + 
      7*T1^3*T2^6 + 192*T1^4*T2^6 + 47*T1^5*T2^6 - 588*T1^6*T2^6 + 
      400*T1^7*T2^6 - 588*T1^8*T2^6 + 47*T1^9*T2^6 + 192*T1^10*T2^6 + 
      7*T1^11*T2^6 - 241*T1^12*T2^6 + 36*T1^13*T2^6 + 14*T1^14*T2^6 - 
      6*T2^7 - 48*T1*T2^7 + 145*T1^2*T2^7 + 247*T1^3*T2^7 - 408*T1^4*T2^7 + 
      47*T1^5*T2^7 + 400*T1^6*T2^7 - 52*T1^7*T2^7 - 52*T1^8*T2^7 + 
      400*T1^9*T2^7 + 47*T1^10*T2^7 - 408*T1^11*T2^7 + 247*T1^12*T2^7 + 
      145*T1^13*T2^7 - 48*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 - 
      7*T1^2*T2^8 - 318*T1^3*T2^8 + 92*T1^4*T2^8 + 462*T1^5*T2^8 - 
      588*T1^6*T2^8 - 52*T1^7*T2^8 + 132*T1^8*T2^8 - 52*T1^9*T2^8 - 
      588*T1^10*T2^8 + 462*T1^11*T2^8 + 92*T1^12*T2^8 - 318*T1^13*T2^8 - 
      7*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 48*T1^2*T2^9 + 
      145*T1^3*T2^9 + 247*T1^4*T2^9 - 408*T1^5*T2^9 + 47*T1^6*T2^9 + 
      400*T1^7*T2^9 - 52*T1^8*T2^9 - 52*T1^9*T2^9 + 400*T1^10*T2^9 + 
      47*T1^11*T2^9 - 408*T1^12*T2^9 + 247*T1^13*T2^9 + 145*T1^14*T2^9 - 
      48*T1^15*T2^9 - 6*T1^16*T2^9 + 14*T1^2*T2^10 + 36*T1^3*T2^10 - 
      241*T1^4*T2^10 + 7*T1^5*T2^10 + 192*T1^6*T2^10 + 47*T1^7*T2^10 - 
      588*T1^8*T2^10 + 400*T1^9*T2^10 - 588*T1^10*T2^10 + 47*T1^11*T2^10 + 
      192*T1^12*T2^10 + 7*T1^13*T2^10 - 241*T1^14*T2^10 + 36*T1^15*T2^10 + 
      14*T1^16*T2^10 - 20*T1^3*T2^11 - 6*T1^4*T2^11 + 211*T1^5*T2^11 + 
      7*T1^6*T2^11 - 408*T1^7*T2^11 + 462*T1^8*T2^11 + 47*T1^9*T2^11 + 
      47*T1^10*T2^11 + 462*T1^11*T2^11 - 408*T1^12*T2^11 + 7*T1^13*T2^11 + 
      211*T1^14*T2^11 - 6*T1^15*T2^11 - 20*T1^16*T2^11 + 21*T1^4*T2^12 - 
      6*T1^5*T2^12 - 241*T1^6*T2^12 + 247*T1^7*T2^12 + 92*T1^8*T2^12 - 
      408*T1^9*T2^12 + 192*T1^10*T2^12 - 408*T1^11*T2^12 + 92*T1^12*T2^12 + 
      247*T1^13*T2^12 - 241*T1^14*T2^12 - 6*T1^15*T2^12 + 21*T1^16*T2^12 - 
      20*T1^5*T2^13 + 36*T1^6*T2^13 + 145*T1^7*T2^13 - 318*T1^8*T2^13 + 
      247*T1^9*T2^13 + 7*T1^10*T2^13 + 7*T1^11*T2^13 + 247*T1^12*T2^13 - 
      318*T1^13*T2^13 + 145*T1^14*T2^13 + 36*T1^15*T2^13 - 20*T1^16*T2^13 + 
      14*T1^6*T2^14 - 48*T1^7*T2^14 - 7*T1^8*T2^14 + 145*T1^9*T2^14 - 
      241*T1^10*T2^14 + 211*T1^11*T2^14 - 241*T1^12*T2^14 + 145*T1^13*T2^14 - 
      7*T1^14*T2^14 - 48*T1^15*T2^14 + 14*T1^16*T2^14 - 6*T1^7*T2^15 + 
      30*T1^8*T2^15 - 48*T1^9*T2^15 + 36*T1^10*T2^15 - 6*T1^11*T2^15 - 
      6*T1^12*T2^15 + 36*T1^13*T2^15 - 48*T1^14*T2^15 + 30*T1^15*T2^15 - 
      6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 14*T1^10*T2^16 - 
      20*T1^11*T2^16 + 21*T1^12*T2^16 - 20*T1^13*T2^16 + 14*T1^14*T2^16 - 
      6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[11, Alternating, 69] -> 
  {-((2 - 13*T + 33*T^2 - 45*T^3 + 33*T^4 - 13*T^5 + 2*T^6)/T^3), 
   -((1 - 6*T1 + 14*T1^2 - 19*T1^3 + 14*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
      30*T1*T2 - 48*T1^2*T2 + 30*T1^3*T2 + 30*T1^4*T2 - 48*T1^5*T2 + 
      30*T1^6*T2 - 6*T1^7*T2 + 14*T2^2 - 48*T1*T2^2 - 8*T1^2*T2^2 + 
      159*T1^3*T2^2 - 296*T1^4*T2^2 + 159*T1^5*T2^2 - 8*T1^6*T2^2 - 
      48*T1^7*T2^2 + 14*T1^8*T2^2 - 19*T2^3 + 30*T1*T2^3 + 159*T1^2*T2^3 - 
      336*T1^3*T2^3 + 259*T1^4*T2^3 + 259*T1^5*T2^3 - 336*T1^6*T2^3 + 
      159*T1^7*T2^3 + 30*T1^8*T2^3 - 19*T1^9*T2^3 + 14*T2^4 + 30*T1*T2^4 - 
      296*T1^2*T2^4 + 259*T1^3*T2^4 + 137*T1^4*T2^4 - 663*T1^5*T2^4 + 
      137*T1^6*T2^4 + 259*T1^7*T2^4 - 296*T1^8*T2^4 + 30*T1^9*T2^4 + 
      14*T1^10*T2^4 - 6*T2^5 - 48*T1*T2^5 + 159*T1^2*T2^5 + 259*T1^3*T2^5 - 
      663*T1^4*T2^5 + 576*T1^5*T2^5 + 576*T1^6*T2^5 - 663*T1^7*T2^5 + 
      259*T1^8*T2^5 + 159*T1^9*T2^5 - 48*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
      30*T1*T2^6 - 8*T1^2*T2^6 - 336*T1^3*T2^6 + 137*T1^4*T2^6 + 
      576*T1^5*T2^6 - 1428*T1^6*T2^6 + 576*T1^7*T2^6 + 137*T1^8*T2^6 - 
      336*T1^9*T2^6 - 8*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
      48*T1^2*T2^7 + 159*T1^3*T2^7 + 259*T1^4*T2^7 - 663*T1^5*T2^7 + 
      576*T1^6*T2^7 + 576*T1^7*T2^7 - 663*T1^8*T2^7 + 259*T1^9*T2^7 + 
      159*T1^10*T2^7 - 48*T1^11*T2^7 - 6*T1^12*T2^7 + 14*T1^2*T2^8 + 
      30*T1^3*T2^8 - 296*T1^4*T2^8 + 259*T1^5*T2^8 + 137*T1^6*T2^8 - 
      663*T1^7*T2^8 + 137*T1^8*T2^8 + 259*T1^9*T2^8 - 296*T1^10*T2^8 + 
      30*T1^11*T2^8 + 14*T1^12*T2^8 - 19*T1^3*T2^9 + 30*T1^4*T2^9 + 
      159*T1^5*T2^9 - 336*T1^6*T2^9 + 259*T1^7*T2^9 + 259*T1^8*T2^9 - 
      336*T1^9*T2^9 + 159*T1^10*T2^9 + 30*T1^11*T2^9 - 19*T1^12*T2^9 + 
      14*T1^4*T2^10 - 48*T1^5*T2^10 - 8*T1^6*T2^10 + 159*T1^7*T2^10 - 
      296*T1^8*T2^10 + 159*T1^9*T2^10 - 8*T1^10*T2^10 - 48*T1^11*T2^10 + 
      14*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 48*T1^7*T2^11 + 
      30*T1^8*T2^11 + 30*T1^9*T2^11 - 48*T1^10*T2^11 + 30*T1^11*T2^11 - 
      6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 14*T1^8*T2^12 - 
      19*T1^9*T2^12 + 14*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[11, Alternating, 70] -> 
  {(2 - 14*T + 36*T^2 - 47*T^3 + 36*T^4 - 14*T^5 + 2*T^6)/T^3, 
   (9 - 61*T1 + 152*T1^2 - 195*T1^3 + 152*T1^4 - 61*T1^5 + 9*T1^6 - 61*T2 + 
     354*T1*T2 - 624*T1^2*T2 + 298*T1^3*T2 + 298*T1^4*T2 - 624*T1^5*T2 + 
     354*T1^6*T2 - 61*T1^7*T2 + 152*T2^2 - 624*T1*T2^2 - 53*T1^2*T2^2 + 
     2656*T1^3*T2^2 - 3889*T1^4*T2^2 + 2656*T1^5*T2^2 - 53*T1^6*T2^2 - 
     624*T1^7*T2^2 + 152*T1^8*T2^2 - 195*T2^3 + 298*T1*T2^3 + 
     2656*T1^2*T2^3 - 6556*T1^3*T2^3 + 3193*T1^4*T2^3 + 3193*T1^5*T2^3 - 
     6556*T1^6*T2^3 + 2656*T1^7*T2^3 + 298*T1^8*T2^3 - 195*T1^9*T2^3 + 
     152*T2^4 + 298*T1*T2^4 - 3889*T1^2*T2^4 + 3193*T1^3*T2^4 + 
     8764*T1^4*T2^4 - 14478*T1^5*T2^4 + 8764*T1^6*T2^4 + 3193*T1^7*T2^4 - 
     3889*T1^8*T2^4 + 298*T1^9*T2^4 + 152*T1^10*T2^4 - 61*T2^5 - 
     624*T1*T2^5 + 2656*T1^2*T2^5 + 3193*T1^3*T2^5 - 14478*T1^4*T2^5 + 
     7384*T1^5*T2^5 + 7384*T1^6*T2^5 - 14478*T1^7*T2^5 + 3193*T1^8*T2^5 + 
     2656*T1^9*T2^5 - 624*T1^10*T2^5 - 61*T1^11*T2^5 + 9*T2^6 + 354*T1*T2^6 - 
     53*T1^2*T2^6 - 6556*T1^3*T2^6 + 8764*T1^4*T2^6 + 7384*T1^5*T2^6 - 
     15408*T1^6*T2^6 + 7384*T1^7*T2^6 + 8764*T1^8*T2^6 - 6556*T1^9*T2^6 - 
     53*T1^10*T2^6 + 354*T1^11*T2^6 + 9*T1^12*T2^6 - 61*T1*T2^7 - 
     624*T1^2*T2^7 + 2656*T1^3*T2^7 + 3193*T1^4*T2^7 - 14478*T1^5*T2^7 + 
     7384*T1^6*T2^7 + 7384*T1^7*T2^7 - 14478*T1^8*T2^7 + 3193*T1^9*T2^7 + 
     2656*T1^10*T2^7 - 624*T1^11*T2^7 - 61*T1^12*T2^7 + 152*T1^2*T2^8 + 
     298*T1^3*T2^8 - 3889*T1^4*T2^8 + 3193*T1^5*T2^8 + 8764*T1^6*T2^8 - 
     14478*T1^7*T2^8 + 8764*T1^8*T2^8 + 3193*T1^9*T2^8 - 3889*T1^10*T2^8 + 
     298*T1^11*T2^8 + 152*T1^12*T2^8 - 195*T1^3*T2^9 + 298*T1^4*T2^9 + 
     2656*T1^5*T2^9 - 6556*T1^6*T2^9 + 3193*T1^7*T2^9 + 3193*T1^8*T2^9 - 
     6556*T1^9*T2^9 + 2656*T1^10*T2^9 + 298*T1^11*T2^9 - 195*T1^12*T2^9 + 
     152*T1^4*T2^10 - 624*T1^5*T2^10 - 53*T1^6*T2^10 + 2656*T1^7*T2^10 - 
     3889*T1^8*T2^10 + 2656*T1^9*T2^10 - 53*T1^10*T2^10 - 624*T1^11*T2^10 + 
     152*T1^12*T2^10 - 61*T1^5*T2^11 + 354*T1^6*T2^11 - 624*T1^7*T2^11 + 
     298*T1^8*T2^11 + 298*T1^9*T2^11 - 624*T1^10*T2^11 + 354*T1^11*T2^11 - 
     61*T1^12*T2^11 + 9*T1^6*T2^12 - 61*T1^7*T2^12 + 152*T1^8*T2^12 - 
     195*T1^9*T2^12 + 152*T1^10*T2^12 - 61*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, 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), 
   -((1 - 6*T1 + 18*T1^2 - 34*T1^3 + 41*T1^4 - 34*T1^5 + 18*T1^6 - 6*T1^7 + 
      T1^8 - 6*T2 + 30*T1*T2 - 72*T1^2*T2 + 96*T1^3*T2 - 42*T1^4*T2 - 
      42*T1^5*T2 + 96*T1^6*T2 - 72*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 
      18*T2^2 - 72*T1*T2^2 + 125*T1^2*T2^2 - 67*T1^3*T2^2 - 175*T1^4*T2^2 + 
      271*T1^5*T2^2 - 175*T1^6*T2^2 - 67*T1^7*T2^2 + 125*T1^8*T2^2 - 
      72*T1^9*T2^2 + 18*T1^10*T2^2 - 34*T2^3 + 96*T1*T2^3 - 67*T1^2*T2^3 - 
      194*T1^3*T2^3 + 577*T1^4*T2^3 - 241*T1^5*T2^3 - 241*T1^6*T2^3 + 
      577*T1^7*T2^3 - 194*T1^8*T2^3 - 67*T1^9*T2^3 + 96*T1^10*T2^3 - 
      34*T1^11*T2^3 + 41*T2^4 - 42*T1*T2^4 - 175*T1^2*T2^4 + 577*T1^3*T2^4 - 
      648*T1^4*T2^4 - 648*T1^5*T2^4 + 1028*T1^6*T2^4 - 648*T1^7*T2^4 - 
      648*T1^8*T2^4 + 577*T1^9*T2^4 - 175*T1^10*T2^4 - 42*T1^11*T2^4 + 
      41*T1^12*T2^4 - 34*T2^5 - 42*T1*T2^5 + 271*T1^2*T2^5 - 241*T1^3*T2^5 - 
      648*T1^4*T2^5 + 2432*T1^5*T2^5 - 932*T1^6*T2^5 - 932*T1^7*T2^5 + 
      2432*T1^8*T2^5 - 648*T1^9*T2^5 - 241*T1^10*T2^5 + 271*T1^11*T2^5 - 
      42*T1^12*T2^5 - 34*T1^13*T2^5 + 18*T2^6 + 96*T1*T2^6 - 175*T1^2*T2^6 - 
      241*T1^3*T2^6 + 1028*T1^4*T2^6 - 932*T1^5*T2^6 - 3487*T1^6*T2^6 + 
      4699*T1^7*T2^6 - 3487*T1^8*T2^6 - 932*T1^9*T2^6 + 1028*T1^10*T2^6 - 
      241*T1^11*T2^6 - 175*T1^12*T2^6 + 96*T1^13*T2^6 + 18*T1^14*T2^6 - 
      6*T2^7 - 72*T1*T2^7 - 67*T1^2*T2^7 + 577*T1^3*T2^7 - 648*T1^4*T2^7 - 
      932*T1^5*T2^7 + 4699*T1^6*T2^7 - 1744*T1^7*T2^7 - 1744*T1^8*T2^7 + 
      4699*T1^9*T2^7 - 932*T1^10*T2^7 - 648*T1^11*T2^7 + 577*T1^12*T2^7 - 
      67*T1^13*T2^7 - 72*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 
      125*T1^2*T2^8 - 194*T1^3*T2^8 - 648*T1^4*T2^8 + 2432*T1^5*T2^8 - 
      3487*T1^6*T2^8 - 1744*T1^7*T2^8 + 2988*T1^8*T2^8 - 1744*T1^9*T2^8 - 
      3487*T1^10*T2^8 + 2432*T1^11*T2^8 - 648*T1^12*T2^8 - 194*T1^13*T2^8 + 
      125*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 
      72*T1^2*T2^9 - 67*T1^3*T2^9 + 577*T1^4*T2^9 - 648*T1^5*T2^9 - 
      932*T1^6*T2^9 + 4699*T1^7*T2^9 - 1744*T1^8*T2^9 - 1744*T1^9*T2^9 + 
      4699*T1^10*T2^9 - 932*T1^11*T2^9 - 648*T1^12*T2^9 + 577*T1^13*T2^9 - 
      67*T1^14*T2^9 - 72*T1^15*T2^9 - 6*T1^16*T2^9 + 18*T1^2*T2^10 + 
      96*T1^3*T2^10 - 175*T1^4*T2^10 - 241*T1^5*T2^10 + 1028*T1^6*T2^10 - 
      932*T1^7*T2^10 - 3487*T1^8*T2^10 + 4699*T1^9*T2^10 - 3487*T1^10*T2^10 - 
      932*T1^11*T2^10 + 1028*T1^12*T2^10 - 241*T1^13*T2^10 - 
      175*T1^14*T2^10 + 96*T1^15*T2^10 + 18*T1^16*T2^10 - 34*T1^3*T2^11 - 
      42*T1^4*T2^11 + 271*T1^5*T2^11 - 241*T1^6*T2^11 - 648*T1^7*T2^11 + 
      2432*T1^8*T2^11 - 932*T1^9*T2^11 - 932*T1^10*T2^11 + 2432*T1^11*T2^11 - 
      648*T1^12*T2^11 - 241*T1^13*T2^11 + 271*T1^14*T2^11 - 42*T1^15*T2^11 - 
      34*T1^16*T2^11 + 41*T1^4*T2^12 - 42*T1^5*T2^12 - 175*T1^6*T2^12 + 
      577*T1^7*T2^12 - 648*T1^8*T2^12 - 648*T1^9*T2^12 + 1028*T1^10*T2^12 - 
      648*T1^11*T2^12 - 648*T1^12*T2^12 + 577*T1^13*T2^12 - 175*T1^14*T2^12 - 
      42*T1^15*T2^12 + 41*T1^16*T2^12 - 34*T1^5*T2^13 + 96*T1^6*T2^13 - 
      67*T1^7*T2^13 - 194*T1^8*T2^13 + 577*T1^9*T2^13 - 241*T1^10*T2^13 - 
      241*T1^11*T2^13 + 577*T1^12*T2^13 - 194*T1^13*T2^13 - 67*T1^14*T2^13 + 
      96*T1^15*T2^13 - 34*T1^16*T2^13 + 18*T1^6*T2^14 - 72*T1^7*T2^14 + 
      125*T1^8*T2^14 - 67*T1^9*T2^14 - 175*T1^10*T2^14 + 271*T1^11*T2^14 - 
      175*T1^12*T2^14 - 67*T1^13*T2^14 + 125*T1^14*T2^14 - 72*T1^15*T2^14 + 
      18*T1^16*T2^14 - 6*T1^7*T2^15 + 30*T1^8*T2^15 - 72*T1^9*T2^15 + 
      96*T1^10*T2^15 - 42*T1^11*T2^15 - 42*T1^12*T2^15 + 96*T1^13*T2^15 - 
      72*T1^14*T2^15 + 30*T1^15*T2^15 - 6*T1^16*T2^15 + T1^8*T2^16 - 
      6*T1^9*T2^16 + 18*T1^10*T2^16 - 34*T1^11*T2^16 + 41*T1^12*T2^16 - 
      34*T1^13*T2^16 + 18*T1^14*T2^16 - 6*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[11, Alternating, 72] -> 
  {((1 - T + T^2)^2*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^4, 
   (1 - 5*T1 + 15*T1^2 - 21*T1^3 + 15*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     18*T1*T2 - 44*T1^2*T2 + 25*T1^3*T2 + 25*T1^4*T2 - 44*T1^5*T2 + 
     18*T1^6*T2 - 5*T1^7*T2 + 15*T2^2 - 44*T1*T2^2 + 94*T1^2*T2^2 - 
     4*T1^3*T2^2 - 54*T1^4*T2^2 - 4*T1^5*T2^2 + 94*T1^6*T2^2 - 44*T1^7*T2^2 + 
     15*T1^8*T2^2 - 21*T2^3 + 25*T1*T2^3 - 4*T1^2*T2^3 - 260*T1^3*T2^3 + 
     143*T1^4*T2^3 + 143*T1^5*T2^3 - 260*T1^6*T2^3 - 4*T1^7*T2^3 + 
     25*T1^8*T2^3 - 21*T1^9*T2^3 + 15*T2^4 + 25*T1*T2^4 - 54*T1^2*T2^4 + 
     143*T1^3*T2^4 + 650*T1^4*T2^4 - 1018*T1^5*T2^4 + 650*T1^6*T2^4 + 
     143*T1^7*T2^4 - 54*T1^8*T2^4 + 25*T1^9*T2^4 + 15*T1^10*T2^4 - 5*T2^5 - 
     44*T1*T2^5 - 4*T1^2*T2^5 + 143*T1^3*T2^5 - 1018*T1^4*T2^5 + 
     490*T1^5*T2^5 + 490*T1^6*T2^5 - 1018*T1^7*T2^5 + 143*T1^8*T2^5 - 
     4*T1^9*T2^5 - 44*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 18*T1*T2^6 + 
     94*T1^2*T2^6 - 260*T1^3*T2^6 + 650*T1^4*T2^6 + 490*T1^5*T2^6 - 
     960*T1^6*T2^6 + 490*T1^7*T2^6 + 650*T1^8*T2^6 - 260*T1^9*T2^6 + 
     94*T1^10*T2^6 + 18*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 44*T1^2*T2^7 - 
     4*T1^3*T2^7 + 143*T1^4*T2^7 - 1018*T1^5*T2^7 + 490*T1^6*T2^7 + 
     490*T1^7*T2^7 - 1018*T1^8*T2^7 + 143*T1^9*T2^7 - 4*T1^10*T2^7 - 
     44*T1^11*T2^7 - 5*T1^12*T2^7 + 15*T1^2*T2^8 + 25*T1^3*T2^8 - 
     54*T1^4*T2^8 + 143*T1^5*T2^8 + 650*T1^6*T2^8 - 1018*T1^7*T2^8 + 
     650*T1^8*T2^8 + 143*T1^9*T2^8 - 54*T1^10*T2^8 + 25*T1^11*T2^8 + 
     15*T1^12*T2^8 - 21*T1^3*T2^9 + 25*T1^4*T2^9 - 4*T1^5*T2^9 - 
     260*T1^6*T2^9 + 143*T1^7*T2^9 + 143*T1^8*T2^9 - 260*T1^9*T2^9 - 
     4*T1^10*T2^9 + 25*T1^11*T2^9 - 21*T1^12*T2^9 + 15*T1^4*T2^10 - 
     44*T1^5*T2^10 + 94*T1^6*T2^10 - 4*T1^7*T2^10 - 54*T1^8*T2^10 - 
     4*T1^9*T2^10 + 94*T1^10*T2^10 - 44*T1^11*T2^10 + 15*T1^12*T2^10 - 
     5*T1^5*T2^11 + 18*T1^6*T2^11 - 44*T1^7*T2^11 + 25*T1^8*T2^11 + 
     25*T1^9*T2^11 - 44*T1^10*T2^11 + 18*T1^11*T2^11 - 5*T1^12*T2^11 + 
     T1^6*T2^12 - 5*T1^7*T2^12 + 15*T1^8*T2^12 - 21*T1^9*T2^12 + 
     15*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 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, 
   -((2*T1^2 - 2*T1^3 + 2*T1^4 - 12*T1^2*T2 + 2*T1^3*T2 + 2*T1^4*T2 - 
      12*T1^5*T2 + 2*T2^2 - 12*T1*T2^2 + 62*T1^2*T2^2 - 16*T1^3*T2^2 + 
      24*T1^4*T2^2 - 16*T1^5*T2^2 + 62*T1^6*T2^2 - 12*T1^7*T2^2 + 
      2*T1^8*T2^2 - 2*T2^3 + 2*T1*T2^3 - 16*T1^2*T2^3 - 190*T1^3*T2^3 + 
      59*T1^4*T2^3 + 59*T1^5*T2^3 - 190*T1^6*T2^3 - 16*T1^7*T2^3 + 
      2*T1^8*T2^3 - 2*T1^9*T2^3 + 2*T2^4 + 2*T1*T2^4 + 24*T1^2*T2^4 + 
      59*T1^3*T2^4 + 635*T1^4*T2^4 - 813*T1^5*T2^4 + 635*T1^6*T2^4 + 
      59*T1^7*T2^4 + 24*T1^8*T2^4 + 2*T1^9*T2^4 + 2*T1^10*T2^4 - 12*T1*T2^5 - 
      16*T1^2*T2^5 + 59*T1^3*T2^5 - 813*T1^4*T2^5 + 290*T1^5*T2^5 + 
      290*T1^6*T2^5 - 813*T1^7*T2^5 + 59*T1^8*T2^5 - 16*T1^9*T2^5 - 
      12*T1^10*T2^5 + 62*T1^2*T2^6 - 190*T1^3*T2^6 + 635*T1^4*T2^6 + 
      290*T1^5*T2^6 - 456*T1^6*T2^6 + 290*T1^7*T2^6 + 635*T1^8*T2^6 - 
      190*T1^9*T2^6 + 62*T1^10*T2^6 - 12*T1^2*T2^7 - 16*T1^3*T2^7 + 
      59*T1^4*T2^7 - 813*T1^5*T2^7 + 290*T1^6*T2^7 + 290*T1^7*T2^7 - 
      813*T1^8*T2^7 + 59*T1^9*T2^7 - 16*T1^10*T2^7 - 12*T1^11*T2^7 + 
      2*T1^2*T2^8 + 2*T1^3*T2^8 + 24*T1^4*T2^8 + 59*T1^5*T2^8 + 
      635*T1^6*T2^8 - 813*T1^7*T2^8 + 635*T1^8*T2^8 + 59*T1^9*T2^8 + 
      24*T1^10*T2^8 + 2*T1^11*T2^8 + 2*T1^12*T2^8 - 2*T1^3*T2^9 + 
      2*T1^4*T2^9 - 16*T1^5*T2^9 - 190*T1^6*T2^9 + 59*T1^7*T2^9 + 
      59*T1^8*T2^9 - 190*T1^9*T2^9 - 16*T1^10*T2^9 + 2*T1^11*T2^9 - 
      2*T1^12*T2^9 + 2*T1^4*T2^10 - 12*T1^5*T2^10 + 62*T1^6*T2^10 - 
      16*T1^7*T2^10 + 24*T1^8*T2^10 - 16*T1^9*T2^10 + 62*T1^10*T2^10 - 
      12*T1^11*T2^10 + 2*T1^12*T2^10 - 12*T1^7*T2^11 + 2*T1^8*T2^11 + 
      2*T1^9*T2^11 - 12*T1^10*T2^11 + 2*T1^8*T2^12 - 2*T1^9*T2^12 + 
      2*T1^10*T2^12)/(T1^6*T2^6))}, 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, 
   (2 - 10*T1 + 20*T1^2 - 26*T1^3 + 30*T1^4 - 26*T1^5 + 20*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 50*T1^2*T2 + 30*T1^3*T2 - 20*T1^4*T2 - 
     20*T1^5*T2 + 30*T1^6*T2 - 50*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     20*T2^2 - 50*T1*T2^2 - 30*T1^2*T2^2 + 143*T1^3*T2^2 - 158*T1^4*T2^2 + 
     236*T1^5*T2^2 - 158*T1^6*T2^2 + 143*T1^7*T2^2 - 30*T1^8*T2^2 - 
     50*T1^9*T2^2 + 20*T1^10*T2^2 - 26*T2^3 + 30*T1*T2^3 + 143*T1^2*T2^3 - 
     210*T1^3*T2^3 + 71*T1^4*T2^3 - 118*T1^5*T2^3 - 118*T1^6*T2^3 + 
     71*T1^7*T2^3 - 210*T1^8*T2^3 + 143*T1^9*T2^3 + 30*T1^10*T2^3 - 
     26*T1^11*T2^3 + 30*T2^4 - 20*T1*T2^4 - 158*T1^2*T2^4 + 71*T1^3*T2^4 + 
     165*T1^4*T2^4 - 36*T1^5*T2^4 + 295*T1^6*T2^4 - 36*T1^7*T2^4 + 
     165*T1^8*T2^4 + 71*T1^9*T2^4 - 158*T1^10*T2^4 - 20*T1^11*T2^4 + 
     30*T1^12*T2^4 - 26*T2^5 - 20*T1*T2^5 + 236*T1^2*T2^5 - 118*T1^3*T2^5 - 
     36*T1^4*T2^5 - 182*T1^5*T2^5 - 143*T1^6*T2^5 - 143*T1^7*T2^5 - 
     182*T1^8*T2^5 - 36*T1^9*T2^5 - 118*T1^10*T2^5 + 236*T1^11*T2^5 - 
     20*T1^12*T2^5 - 26*T1^13*T2^5 + 20*T2^6 + 30*T1*T2^6 - 158*T1^2*T2^6 - 
     118*T1^3*T2^6 + 295*T1^4*T2^6 - 143*T1^5*T2^6 + 535*T1^6*T2^6 - 
     207*T1^7*T2^6 + 535*T1^8*T2^6 - 143*T1^9*T2^6 + 295*T1^10*T2^6 - 
     118*T1^11*T2^6 - 158*T1^12*T2^6 + 30*T1^13*T2^6 + 20*T1^14*T2^6 - 
     10*T2^7 - 50*T1*T2^7 + 143*T1^2*T2^7 + 71*T1^3*T2^7 - 36*T1^4*T2^7 - 
     143*T1^5*T2^7 - 207*T1^6*T2^7 - 162*T1^7*T2^7 - 162*T1^8*T2^7 - 
     207*T1^9*T2^7 - 143*T1^10*T2^7 - 36*T1^11*T2^7 + 71*T1^12*T2^7 + 
     143*T1^13*T2^7 - 50*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 - 
     30*T1^2*T2^8 - 210*T1^3*T2^8 + 165*T1^4*T2^8 - 182*T1^5*T2^8 + 
     535*T1^6*T2^8 - 162*T1^7*T2^8 + 492*T1^8*T2^8 - 162*T1^9*T2^8 + 
     535*T1^10*T2^8 - 182*T1^11*T2^8 + 165*T1^12*T2^8 - 210*T1^13*T2^8 - 
     30*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     50*T1^2*T2^9 + 143*T1^3*T2^9 + 71*T1^4*T2^9 - 36*T1^5*T2^9 - 
     143*T1^6*T2^9 - 207*T1^7*T2^9 - 162*T1^8*T2^9 - 162*T1^9*T2^9 - 
     207*T1^10*T2^9 - 143*T1^11*T2^9 - 36*T1^12*T2^9 + 71*T1^13*T2^9 + 
     143*T1^14*T2^9 - 50*T1^15*T2^9 - 10*T1^16*T2^9 + 20*T1^2*T2^10 + 
     30*T1^3*T2^10 - 158*T1^4*T2^10 - 118*T1^5*T2^10 + 295*T1^6*T2^10 - 
     143*T1^7*T2^10 + 535*T1^8*T2^10 - 207*T1^9*T2^10 + 535*T1^10*T2^10 - 
     143*T1^11*T2^10 + 295*T1^12*T2^10 - 118*T1^13*T2^10 - 158*T1^14*T2^10 + 
     30*T1^15*T2^10 + 20*T1^16*T2^10 - 26*T1^3*T2^11 - 20*T1^4*T2^11 + 
     236*T1^5*T2^11 - 118*T1^6*T2^11 - 36*T1^7*T2^11 - 182*T1^8*T2^11 - 
     143*T1^9*T2^11 - 143*T1^10*T2^11 - 182*T1^11*T2^11 - 36*T1^12*T2^11 - 
     118*T1^13*T2^11 + 236*T1^14*T2^11 - 20*T1^15*T2^11 - 26*T1^16*T2^11 + 
     30*T1^4*T2^12 - 20*T1^5*T2^12 - 158*T1^6*T2^12 + 71*T1^7*T2^12 + 
     165*T1^8*T2^12 - 36*T1^9*T2^12 + 295*T1^10*T2^12 - 36*T1^11*T2^12 + 
     165*T1^12*T2^12 + 71*T1^13*T2^12 - 158*T1^14*T2^12 - 20*T1^15*T2^12 + 
     30*T1^16*T2^12 - 26*T1^5*T2^13 + 30*T1^6*T2^13 + 143*T1^7*T2^13 - 
     210*T1^8*T2^13 + 71*T1^9*T2^13 - 118*T1^10*T2^13 - 118*T1^11*T2^13 + 
     71*T1^12*T2^13 - 210*T1^13*T2^13 + 143*T1^14*T2^13 + 30*T1^15*T2^13 - 
     26*T1^16*T2^13 + 20*T1^6*T2^14 - 50*T1^7*T2^14 - 30*T1^8*T2^14 + 
     143*T1^9*T2^14 - 158*T1^10*T2^14 + 236*T1^11*T2^14 - 158*T1^12*T2^14 + 
     143*T1^13*T2^14 - 30*T1^14*T2^14 - 50*T1^15*T2^14 + 20*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 50*T1^9*T2^15 + 30*T1^10*T2^15 - 
     20*T1^11*T2^15 - 20*T1^12*T2^15 + 30*T1^13*T2^15 - 50*T1^14*T2^15 + 
     40*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)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 75] -> 
  {(2 - 10*T + 19*T^2 - 21*T^3 + 19*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (9 - 45*T1 + 85*T1^2 - 93*T1^3 + 85*T1^4 - 45*T1^5 + 9*T1^6 - 45*T2 + 
     180*T1*T2 - 200*T1^2*T2 + 40*T1^3*T2 + 40*T1^4*T2 - 200*T1^5*T2 + 
     180*T1^6*T2 - 45*T1^7*T2 + 85*T2^2 - 200*T1*T2^2 - 235*T1^2*T2^2 + 
     831*T1^3*T2^2 - 753*T1^4*T2^2 + 831*T1^5*T2^2 - 235*T1^6*T2^2 - 
     200*T1^7*T2^2 + 85*T1^8*T2^2 - 93*T2^3 + 40*T1*T2^3 + 831*T1^2*T2^3 - 
     1120*T1^3*T2^3 + 94*T1^4*T2^3 + 94*T1^5*T2^3 - 1120*T1^6*T2^3 + 
     831*T1^7*T2^3 + 40*T1^8*T2^3 - 93*T1^9*T2^3 + 85*T2^4 + 40*T1*T2^4 - 
     753*T1^2*T2^4 + 94*T1^3*T2^4 + 1568*T1^4*T2^4 - 1284*T1^5*T2^4 + 
     1568*T1^6*T2^4 + 94*T1^7*T2^4 - 753*T1^8*T2^4 + 40*T1^9*T2^4 + 
     85*T1^10*T2^4 - 45*T2^5 - 200*T1*T2^5 + 831*T1^2*T2^5 + 94*T1^3*T2^5 - 
     1284*T1^4*T2^5 + 130*T1^5*T2^5 + 130*T1^6*T2^5 - 1284*T1^7*T2^5 + 
     94*T1^8*T2^5 + 831*T1^9*T2^5 - 200*T1^10*T2^5 - 45*T1^11*T2^5 + 9*T2^6 + 
     180*T1*T2^6 - 235*T1^2*T2^6 - 1120*T1^3*T2^6 + 1568*T1^4*T2^6 + 
     130*T1^5*T2^6 - 72*T1^6*T2^6 + 130*T1^7*T2^6 + 1568*T1^8*T2^6 - 
     1120*T1^9*T2^6 - 235*T1^10*T2^6 + 180*T1^11*T2^6 + 9*T1^12*T2^6 - 
     45*T1*T2^7 - 200*T1^2*T2^7 + 831*T1^3*T2^7 + 94*T1^4*T2^7 - 
     1284*T1^5*T2^7 + 130*T1^6*T2^7 + 130*T1^7*T2^7 - 1284*T1^8*T2^7 + 
     94*T1^9*T2^7 + 831*T1^10*T2^7 - 200*T1^11*T2^7 - 45*T1^12*T2^7 + 
     85*T1^2*T2^8 + 40*T1^3*T2^8 - 753*T1^4*T2^8 + 94*T1^5*T2^8 + 
     1568*T1^6*T2^8 - 1284*T1^7*T2^8 + 1568*T1^8*T2^8 + 94*T1^9*T2^8 - 
     753*T1^10*T2^8 + 40*T1^11*T2^8 + 85*T1^12*T2^8 - 93*T1^3*T2^9 + 
     40*T1^4*T2^9 + 831*T1^5*T2^9 - 1120*T1^6*T2^9 + 94*T1^7*T2^9 + 
     94*T1^8*T2^9 - 1120*T1^9*T2^9 + 831*T1^10*T2^9 + 40*T1^11*T2^9 - 
     93*T1^12*T2^9 + 85*T1^4*T2^10 - 200*T1^5*T2^10 - 235*T1^6*T2^10 + 
     831*T1^7*T2^10 - 753*T1^8*T2^10 + 831*T1^9*T2^10 - 235*T1^10*T2^10 - 
     200*T1^11*T2^10 + 85*T1^12*T2^10 - 45*T1^5*T2^11 + 180*T1^6*T2^11 - 
     200*T1^7*T2^11 + 40*T1^8*T2^11 + 40*T1^9*T2^11 - 200*T1^10*T2^11 + 
     180*T1^11*T2^11 - 45*T1^12*T2^11 + 9*T1^6*T2^12 - 45*T1^7*T2^12 + 
     85*T1^8*T2^12 - 93*T1^9*T2^12 + 85*T1^10*T2^12 - 45*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   -((3*T1^2 - 4*T1^3 + 3*T1^4 - 13*T1^2*T2 + 5*T1^3*T2 + 5*T1^4*T2 - 
      13*T1^5*T2 + 3*T2^2 - 13*T1*T2^2 + 59*T1^2*T2^2 - 28*T1^3*T2^2 + 
      27*T1^4*T2^2 - 28*T1^5*T2^2 + 59*T1^6*T2^2 - 13*T1^7*T2^2 + 
      3*T1^8*T2^2 - 4*T2^3 + 5*T1*T2^3 - 28*T1^2*T2^3 - 106*T1^3*T2^3 + 
      32*T1^4*T2^3 + 32*T1^5*T2^3 - 106*T1^6*T2^3 - 28*T1^7*T2^3 + 
      5*T1^8*T2^3 - 4*T1^9*T2^3 + 3*T2^4 + 5*T1*T2^4 + 27*T1^2*T2^4 + 
      32*T1^3*T2^4 + 347*T1^4*T2^4 - 405*T1^5*T2^4 + 347*T1^6*T2^4 + 
      32*T1^7*T2^4 + 27*T1^8*T2^4 + 5*T1^9*T2^4 + 3*T1^10*T2^4 - 13*T1*T2^5 - 
      28*T1^2*T2^5 + 32*T1^3*T2^5 - 405*T1^4*T2^5 + 88*T1^5*T2^5 + 
      88*T1^6*T2^5 - 405*T1^7*T2^5 + 32*T1^8*T2^5 - 28*T1^9*T2^5 - 
      13*T1^10*T2^5 + 59*T1^2*T2^6 - 106*T1^3*T2^6 + 347*T1^4*T2^6 + 
      88*T1^5*T2^6 - 24*T1^6*T2^6 + 88*T1^7*T2^6 + 347*T1^8*T2^6 - 
      106*T1^9*T2^6 + 59*T1^10*T2^6 - 13*T1^2*T2^7 - 28*T1^3*T2^7 + 
      32*T1^4*T2^7 - 405*T1^5*T2^7 + 88*T1^6*T2^7 + 88*T1^7*T2^7 - 
      405*T1^8*T2^7 + 32*T1^9*T2^7 - 28*T1^10*T2^7 - 13*T1^11*T2^7 + 
      3*T1^2*T2^8 + 5*T1^3*T2^8 + 27*T1^4*T2^8 + 32*T1^5*T2^8 + 
      347*T1^6*T2^8 - 405*T1^7*T2^8 + 347*T1^8*T2^8 + 32*T1^9*T2^8 + 
      27*T1^10*T2^8 + 5*T1^11*T2^8 + 3*T1^12*T2^8 - 4*T1^3*T2^9 + 
      5*T1^4*T2^9 - 28*T1^5*T2^9 - 106*T1^6*T2^9 + 32*T1^7*T2^9 + 
      32*T1^8*T2^9 - 106*T1^9*T2^9 - 28*T1^10*T2^9 + 5*T1^11*T2^9 - 
      4*T1^12*T2^9 + 3*T1^4*T2^10 - 13*T1^5*T2^10 + 59*T1^6*T2^10 - 
      28*T1^7*T2^10 + 27*T1^8*T2^10 - 28*T1^9*T2^10 + 59*T1^10*T2^10 - 
      13*T1^11*T2^10 + 3*T1^12*T2^10 - 13*T1^7*T2^11 + 5*T1^8*T2^11 + 
      5*T1^9*T2^11 - 13*T1^10*T2^11 + 3*T1^8*T2^12 - 4*T1^9*T2^12 + 
      3*T1^10*T2^12)/(T1^6*T2^6))}, Knot[11, Alternating, 77] -> 
  {(2 - 12*T + 31*T^2 - 41*T^3 + 31*T^4 - 12*T^5 + 2*T^6)/T^3, 
   -((9 - 53*T1 + 135*T1^2 - 177*T1^3 + 135*T1^4 - 53*T1^5 + 9*T1^6 - 53*T2 + 
      260*T1*T2 - 486*T1^2*T2 + 250*T1^3*T2 + 250*T1^4*T2 - 486*T1^5*T2 + 
      260*T1^6*T2 - 53*T1^7*T2 + 135*T2^2 - 486*T1*T2^2 + 322*T1^2*T2^2 + 
      1286*T1^3*T2^2 - 2192*T1^4*T2^2 + 1286*T1^5*T2^2 + 322*T1^6*T2^2 - 
      486*T1^7*T2^2 + 135*T1^8*T2^2 - 177*T2^3 + 250*T1*T2^3 + 
      1286*T1^2*T2^3 - 4184*T1^3*T2^3 + 2284*T1^4*T2^3 + 2284*T1^5*T2^3 - 
      4184*T1^6*T2^3 + 1286*T1^7*T2^3 + 250*T1^8*T2^3 - 177*T1^9*T2^3 + 
      135*T2^4 + 250*T1*T2^4 - 2192*T1^2*T2^4 + 2284*T1^3*T2^4 + 
      6382*T1^4*T2^4 - 11294*T1^5*T2^4 + 6382*T1^6*T2^4 + 2284*T1^7*T2^4 - 
      2192*T1^8*T2^4 + 250*T1^9*T2^4 + 135*T1^10*T2^4 - 53*T2^5 - 
      486*T1*T2^5 + 1286*T1^2*T2^5 + 2284*T1^3*T2^5 - 11294*T1^4*T2^5 + 
      6344*T1^5*T2^5 + 6344*T1^6*T2^5 - 11294*T1^7*T2^5 + 2284*T1^8*T2^5 + 
      1286*T1^9*T2^5 - 486*T1^10*T2^5 - 53*T1^11*T2^5 + 9*T2^6 + 
      260*T1*T2^6 + 322*T1^2*T2^6 - 4184*T1^3*T2^6 + 6382*T1^4*T2^6 + 
      6344*T1^5*T2^6 - 13812*T1^6*T2^6 + 6344*T1^7*T2^6 + 6382*T1^8*T2^6 - 
      4184*T1^9*T2^6 + 322*T1^10*T2^6 + 260*T1^11*T2^6 + 9*T1^12*T2^6 - 
      53*T1*T2^7 - 486*T1^2*T2^7 + 1286*T1^3*T2^7 + 2284*T1^4*T2^7 - 
      11294*T1^5*T2^7 + 6344*T1^6*T2^7 + 6344*T1^7*T2^7 - 11294*T1^8*T2^7 + 
      2284*T1^9*T2^7 + 1286*T1^10*T2^7 - 486*T1^11*T2^7 - 53*T1^12*T2^7 + 
      135*T1^2*T2^8 + 250*T1^3*T2^8 - 2192*T1^4*T2^8 + 2284*T1^5*T2^8 + 
      6382*T1^6*T2^8 - 11294*T1^7*T2^8 + 6382*T1^8*T2^8 + 2284*T1^9*T2^8 - 
      2192*T1^10*T2^8 + 250*T1^11*T2^8 + 135*T1^12*T2^8 - 177*T1^3*T2^9 + 
      250*T1^4*T2^9 + 1286*T1^5*T2^9 - 4184*T1^6*T2^9 + 2284*T1^7*T2^9 + 
      2284*T1^8*T2^9 - 4184*T1^9*T2^9 + 1286*T1^10*T2^9 + 250*T1^11*T2^9 - 
      177*T1^12*T2^9 + 135*T1^4*T2^10 - 486*T1^5*T2^10 + 322*T1^6*T2^10 + 
      1286*T1^7*T2^10 - 2192*T1^8*T2^10 + 1286*T1^9*T2^10 + 322*T1^10*T2^10 - 
      486*T1^11*T2^10 + 135*T1^12*T2^10 - 53*T1^5*T2^11 + 260*T1^6*T2^11 - 
      486*T1^7*T2^11 + 250*T1^8*T2^11 + 250*T1^9*T2^11 - 486*T1^10*T2^11 + 
      260*T1^11*T2^11 - 53*T1^12*T2^11 + 9*T1^6*T2^12 - 53*T1^7*T2^12 + 
      135*T1^8*T2^12 - 177*T1^9*T2^12 + 135*T1^10*T2^12 - 53*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, Alternating, 78] -> 
  {((1 - T + T^2)*(2 - 10*T + 17*T^2 - 10*T^3 + 2*T^4))/T^3, 
   (9 - 53*T1 + 125*T1^2 - 157*T1^3 + 125*T1^4 - 53*T1^5 + 9*T1^6 - 53*T2 + 
     260*T1*T2 - 428*T1^2*T2 + 192*T1^3*T2 + 192*T1^4*T2 - 428*T1^5*T2 + 
     260*T1^6*T2 - 53*T1^7*T2 + 125*T2^2 - 428*T1*T2^2 + 42*T1^2*T2^2 + 
     1406*T1^3*T2^2 - 2000*T1^4*T2^2 + 1406*T1^5*T2^2 + 42*T1^6*T2^2 - 
     428*T1^7*T2^2 + 125*T1^8*T2^2 - 157*T2^3 + 192*T1*T2^3 + 
     1406*T1^2*T2^3 - 3360*T1^3*T2^3 + 1496*T1^4*T2^3 + 1496*T1^5*T2^3 - 
     3360*T1^6*T2^3 + 1406*T1^7*T2^3 + 192*T1^8*T2^3 - 157*T1^9*T2^3 + 
     125*T2^4 + 192*T1*T2^4 - 2000*T1^2*T2^4 + 1496*T1^3*T2^4 + 
     4343*T1^4*T2^4 - 6657*T1^5*T2^4 + 4343*T1^6*T2^4 + 1496*T1^7*T2^4 - 
     2000*T1^8*T2^4 + 192*T1^9*T2^4 + 125*T1^10*T2^4 - 53*T2^5 - 
     428*T1*T2^5 + 1406*T1^2*T2^5 + 1496*T1^3*T2^5 - 6657*T1^4*T2^5 + 
     3048*T1^5*T2^5 + 3048*T1^6*T2^5 - 6657*T1^7*T2^5 + 1496*T1^8*T2^5 + 
     1406*T1^9*T2^5 - 428*T1^10*T2^5 - 53*T1^11*T2^5 + 9*T2^6 + 260*T1*T2^6 + 
     42*T1^2*T2^6 - 3360*T1^3*T2^6 + 4343*T1^4*T2^6 + 3048*T1^5*T2^6 - 
     6024*T1^6*T2^6 + 3048*T1^7*T2^6 + 4343*T1^8*T2^6 - 3360*T1^9*T2^6 + 
     42*T1^10*T2^6 + 260*T1^11*T2^6 + 9*T1^12*T2^6 - 53*T1*T2^7 - 
     428*T1^2*T2^7 + 1406*T1^3*T2^7 + 1496*T1^4*T2^7 - 6657*T1^5*T2^7 + 
     3048*T1^6*T2^7 + 3048*T1^7*T2^7 - 6657*T1^8*T2^7 + 1496*T1^9*T2^7 + 
     1406*T1^10*T2^7 - 428*T1^11*T2^7 - 53*T1^12*T2^7 + 125*T1^2*T2^8 + 
     192*T1^3*T2^8 - 2000*T1^4*T2^8 + 1496*T1^5*T2^8 + 4343*T1^6*T2^8 - 
     6657*T1^7*T2^8 + 4343*T1^8*T2^8 + 1496*T1^9*T2^8 - 2000*T1^10*T2^8 + 
     192*T1^11*T2^8 + 125*T1^12*T2^8 - 157*T1^3*T2^9 + 192*T1^4*T2^9 + 
     1406*T1^5*T2^9 - 3360*T1^6*T2^9 + 1496*T1^7*T2^9 + 1496*T1^8*T2^9 - 
     3360*T1^9*T2^9 + 1406*T1^10*T2^9 + 192*T1^11*T2^9 - 157*T1^12*T2^9 + 
     125*T1^4*T2^10 - 428*T1^5*T2^10 + 42*T1^6*T2^10 + 1406*T1^7*T2^10 - 
     2000*T1^8*T2^10 + 1406*T1^9*T2^10 + 42*T1^10*T2^10 - 428*T1^11*T2^10 + 
     125*T1^12*T2^10 - 53*T1^5*T2^11 + 260*T1^6*T2^11 - 428*T1^7*T2^11 + 
     192*T1^8*T2^11 + 192*T1^9*T2^11 - 428*T1^10*T2^11 + 260*T1^11*T2^11 - 
     53*T1^12*T2^11 + 9*T1^6*T2^12 - 53*T1^7*T2^12 + 125*T1^8*T2^12 - 
     157*T1^9*T2^12 + 125*T1^10*T2^12 - 53*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, 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), 
   (1 - 6*T1 + 17*T1^2 - 30*T1^3 + 35*T1^4 - 30*T1^5 + 17*T1^6 - 6*T1^7 + 
     T1^8 - 6*T2 + 30*T1*T2 - 66*T1^2*T2 + 78*T1^3*T2 - 30*T1^4*T2 - 
     30*T1^5*T2 + 78*T1^6*T2 - 66*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 
     17*T2^2 - 66*T1*T2^2 + 88*T1^2*T2^2 + 10*T1^3*T2^2 - 221*T1^4*T2^2 + 
     274*T1^5*T2^2 - 221*T1^6*T2^2 + 10*T1^7*T2^2 + 88*T1^8*T2^2 - 
     66*T1^9*T2^2 + 17*T1^10*T2^2 - 30*T2^3 + 78*T1*T2^3 + 10*T1^2*T2^3 - 
     292*T1^3*T2^3 + 529*T1^4*T2^3 - 165*T1^5*T2^3 - 165*T1^6*T2^3 + 
     529*T1^7*T2^3 - 292*T1^8*T2^3 + 10*T1^9*T2^3 + 78*T1^10*T2^3 - 
     30*T1^11*T2^3 + 35*T2^4 - 30*T1*T2^4 - 221*T1^2*T2^4 + 529*T1^3*T2^4 - 
     374*T1^4*T2^4 - 653*T1^5*T2^4 + 746*T1^6*T2^4 - 653*T1^7*T2^4 - 
     374*T1^8*T2^4 + 529*T1^9*T2^4 - 221*T1^10*T2^4 - 30*T1^11*T2^4 + 
     35*T1^12*T2^4 - 30*T2^5 - 30*T1*T2^5 + 274*T1^2*T2^5 - 165*T1^3*T2^5 - 
     653*T1^4*T2^5 + 1714*T1^5*T2^5 - 438*T1^6*T2^5 - 438*T1^7*T2^5 + 
     1714*T1^8*T2^5 - 653*T1^9*T2^5 - 165*T1^10*T2^5 + 274*T1^11*T2^5 - 
     30*T1^12*T2^5 - 30*T1^13*T2^5 + 17*T2^6 + 78*T1*T2^6 - 221*T1^2*T2^6 - 
     165*T1^3*T2^6 + 746*T1^4*T2^6 - 438*T1^5*T2^6 - 2363*T1^6*T2^6 + 
     2601*T1^7*T2^6 - 2363*T1^8*T2^6 - 438*T1^9*T2^6 + 746*T1^10*T2^6 - 
     165*T1^11*T2^6 - 221*T1^12*T2^6 + 78*T1^13*T2^6 + 17*T1^14*T2^6 - 
     6*T2^7 - 66*T1*T2^7 + 10*T1^2*T2^7 + 529*T1^3*T2^7 - 653*T1^4*T2^7 - 
     438*T1^5*T2^7 + 2601*T1^6*T2^7 - 640*T1^7*T2^7 - 640*T1^8*T2^7 + 
     2601*T1^9*T2^7 - 438*T1^10*T2^7 - 653*T1^11*T2^7 + 529*T1^12*T2^7 + 
     10*T1^13*T2^7 - 66*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 
     88*T1^2*T2^8 - 292*T1^3*T2^8 - 374*T1^4*T2^8 + 1714*T1^5*T2^8 - 
     2363*T1^6*T2^8 - 640*T1^7*T2^8 + 780*T1^8*T2^8 - 640*T1^9*T2^8 - 
     2363*T1^10*T2^8 + 1714*T1^11*T2^8 - 374*T1^12*T2^8 - 292*T1^13*T2^8 + 
     88*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 66*T1^2*T2^9 + 
     10*T1^3*T2^9 + 529*T1^4*T2^9 - 653*T1^5*T2^9 - 438*T1^6*T2^9 + 
     2601*T1^7*T2^9 - 640*T1^8*T2^9 - 640*T1^9*T2^9 + 2601*T1^10*T2^9 - 
     438*T1^11*T2^9 - 653*T1^12*T2^9 + 529*T1^13*T2^9 + 10*T1^14*T2^9 - 
     66*T1^15*T2^9 - 6*T1^16*T2^9 + 17*T1^2*T2^10 + 78*T1^3*T2^10 - 
     221*T1^4*T2^10 - 165*T1^5*T2^10 + 746*T1^6*T2^10 - 438*T1^7*T2^10 - 
     2363*T1^8*T2^10 + 2601*T1^9*T2^10 - 2363*T1^10*T2^10 - 438*T1^11*T2^10 + 
     746*T1^12*T2^10 - 165*T1^13*T2^10 - 221*T1^14*T2^10 + 78*T1^15*T2^10 + 
     17*T1^16*T2^10 - 30*T1^3*T2^11 - 30*T1^4*T2^11 + 274*T1^5*T2^11 - 
     165*T1^6*T2^11 - 653*T1^7*T2^11 + 1714*T1^8*T2^11 - 438*T1^9*T2^11 - 
     438*T1^10*T2^11 + 1714*T1^11*T2^11 - 653*T1^12*T2^11 - 165*T1^13*T2^11 + 
     274*T1^14*T2^11 - 30*T1^15*T2^11 - 30*T1^16*T2^11 + 35*T1^4*T2^12 - 
     30*T1^5*T2^12 - 221*T1^6*T2^12 + 529*T1^7*T2^12 - 374*T1^8*T2^12 - 
     653*T1^9*T2^12 + 746*T1^10*T2^12 - 653*T1^11*T2^12 - 374*T1^12*T2^12 + 
     529*T1^13*T2^12 - 221*T1^14*T2^12 - 30*T1^15*T2^12 + 35*T1^16*T2^12 - 
     30*T1^5*T2^13 + 78*T1^6*T2^13 + 10*T1^7*T2^13 - 292*T1^8*T2^13 + 
     529*T1^9*T2^13 - 165*T1^10*T2^13 - 165*T1^11*T2^13 + 529*T1^12*T2^13 - 
     292*T1^13*T2^13 + 10*T1^14*T2^13 + 78*T1^15*T2^13 - 30*T1^16*T2^13 + 
     17*T1^6*T2^14 - 66*T1^7*T2^14 + 88*T1^8*T2^14 + 10*T1^9*T2^14 - 
     221*T1^10*T2^14 + 274*T1^11*T2^14 - 221*T1^12*T2^14 + 10*T1^13*T2^14 + 
     88*T1^14*T2^14 - 66*T1^15*T2^14 + 17*T1^16*T2^14 - 6*T1^7*T2^15 + 
     30*T1^8*T2^15 - 66*T1^9*T2^15 + 78*T1^10*T2^15 - 30*T1^11*T2^15 - 
     30*T1^12*T2^15 + 78*T1^13*T2^15 - 66*T1^14*T2^15 + 30*T1^15*T2^15 - 
     6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 17*T1^10*T2^16 - 
     30*T1^11*T2^16 + 35*T1^12*T2^16 - 30*T1^13*T2^16 + 17*T1^14*T2^16 - 
     6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 
   (1 - 3*T1 + 3*T1^2 - 3*T1^3 + 3*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 2*T1*T2 + 
     13*T1^2*T2 - 7*T1^3*T2 - 7*T1^4*T2 + 13*T1^5*T2 + 2*T1^6*T2 - 
     3*T1^7*T2 + 3*T2^2 + 13*T1*T2^2 - 29*T1^2*T2^2 - 68*T1^3*T2^2 + 
     109*T1^4*T2^2 - 68*T1^5*T2^2 - 29*T1^6*T2^2 + 13*T1^7*T2^2 + 
     3*T1^8*T2^2 - 3*T2^3 - 7*T1*T2^3 - 68*T1^2*T2^3 + 280*T1^3*T2^3 - 
     113*T1^4*T2^3 - 113*T1^5*T2^3 + 280*T1^6*T2^3 - 68*T1^7*T2^3 - 
     7*T1^8*T2^3 - 3*T1^9*T2^3 + 3*T2^4 - 7*T1*T2^4 + 109*T1^2*T2^4 - 
     113*T1^3*T2^4 - 468*T1^4*T2^4 + 552*T1^5*T2^4 - 468*T1^6*T2^4 - 
     113*T1^7*T2^4 + 109*T1^8*T2^4 - 7*T1^9*T2^4 + 3*T1^10*T2^4 - 3*T2^5 + 
     13*T1*T2^5 - 68*T1^2*T2^5 - 113*T1^3*T2^5 + 552*T1^4*T2^5 - 
     64*T1^5*T2^5 - 64*T1^6*T2^5 + 552*T1^7*T2^5 - 113*T1^8*T2^5 - 
     68*T1^9*T2^5 + 13*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 2*T1*T2^6 - 
     29*T1^2*T2^6 + 280*T1^3*T2^6 - 468*T1^4*T2^6 - 64*T1^5*T2^6 - 
     180*T1^6*T2^6 - 64*T1^7*T2^6 - 468*T1^8*T2^6 + 280*T1^9*T2^6 - 
     29*T1^10*T2^6 + 2*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 + 13*T1^2*T2^7 - 
     68*T1^3*T2^7 - 113*T1^4*T2^7 + 552*T1^5*T2^7 - 64*T1^6*T2^7 - 
     64*T1^7*T2^7 + 552*T1^8*T2^7 - 113*T1^9*T2^7 - 68*T1^10*T2^7 + 
     13*T1^11*T2^7 - 3*T1^12*T2^7 + 3*T1^2*T2^8 - 7*T1^3*T2^8 + 
     109*T1^4*T2^8 - 113*T1^5*T2^8 - 468*T1^6*T2^8 + 552*T1^7*T2^8 - 
     468*T1^8*T2^8 - 113*T1^9*T2^8 + 109*T1^10*T2^8 - 7*T1^11*T2^8 + 
     3*T1^12*T2^8 - 3*T1^3*T2^9 - 7*T1^4*T2^9 - 68*T1^5*T2^9 + 
     280*T1^6*T2^9 - 113*T1^7*T2^9 - 113*T1^8*T2^9 + 280*T1^9*T2^9 - 
     68*T1^10*T2^9 - 7*T1^11*T2^9 - 3*T1^12*T2^9 + 3*T1^4*T2^10 + 
     13*T1^5*T2^10 - 29*T1^6*T2^10 - 68*T1^7*T2^10 + 109*T1^8*T2^10 - 
     68*T1^9*T2^10 - 29*T1^10*T2^10 + 13*T1^11*T2^10 + 3*T1^12*T2^10 - 
     3*T1^5*T2^11 + 2*T1^6*T2^11 + 13*T1^7*T2^11 - 7*T1^8*T2^11 - 
     7*T1^9*T2^11 + 13*T1^10*T2^11 + 2*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)/(T1^6*T2^6)}, 
 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), -((1 - 6*T1 + 16*T1^2 - 26*T1^3 + 29*T1^4 - 26*T1^5 + 16*T1^6 - 
      6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 60*T1^2*T2 + 60*T1^3*T2 - 
      18*T1^4*T2 - 18*T1^5*T2 + 60*T1^6*T2 - 60*T1^7*T2 + 30*T1^8*T2 - 
      6*T1^9*T2 + 16*T2^2 - 60*T1*T2^2 + 55*T1^2*T2^2 + 71*T1^3*T2^2 - 
      233*T1^4*T2^2 + 237*T1^5*T2^2 - 233*T1^6*T2^2 + 71*T1^7*T2^2 + 
      55*T1^8*T2^2 - 60*T1^9*T2^2 + 16*T1^10*T2^2 - 26*T2^3 + 60*T1*T2^3 + 
      71*T1^2*T2^3 - 346*T1^3*T2^3 + 418*T1^4*T2^3 - 71*T1^5*T2^3 - 
      71*T1^6*T2^3 + 418*T1^7*T2^3 - 346*T1^8*T2^3 + 71*T1^9*T2^3 + 
      60*T1^10*T2^3 - 26*T1^11*T2^3 + 29*T2^4 - 18*T1*T2^4 - 233*T1^2*T2^4 + 
      418*T1^3*T2^4 - 11*T1^4*T2^4 - 728*T1^5*T2^4 + 617*T1^6*T2^4 - 
      728*T1^7*T2^4 - 11*T1^8*T2^4 + 418*T1^9*T2^4 - 233*T1^10*T2^4 - 
      18*T1^11*T2^4 + 29*T1^12*T2^4 - 26*T2^5 - 18*T1*T2^5 + 237*T1^2*T2^5 - 
      71*T1^3*T2^5 - 728*T1^4*T2^5 + 1132*T1^5*T2^5 - 146*T1^6*T2^5 - 
      146*T1^7*T2^5 + 1132*T1^8*T2^5 - 728*T1^9*T2^5 - 71*T1^10*T2^5 + 
      237*T1^11*T2^5 - 18*T1^12*T2^5 - 26*T1^13*T2^5 + 16*T2^6 + 60*T1*T2^6 - 
      233*T1^2*T2^6 - 71*T1^3*T2^6 + 617*T1^4*T2^6 - 146*T1^5*T2^6 - 
      1295*T1^6*T2^6 + 1137*T1^7*T2^6 - 1295*T1^8*T2^6 - 146*T1^9*T2^6 + 
      617*T1^10*T2^6 - 71*T1^11*T2^6 - 233*T1^12*T2^6 + 60*T1^13*T2^6 + 
      16*T1^14*T2^6 - 6*T2^7 - 60*T1*T2^7 + 71*T1^2*T2^7 + 418*T1^3*T2^7 - 
      728*T1^4*T2^7 - 146*T1^5*T2^7 + 1137*T1^6*T2^7 - 162*T1^7*T2^7 - 
      162*T1^8*T2^7 + 1137*T1^9*T2^7 - 146*T1^10*T2^7 - 728*T1^11*T2^7 + 
      418*T1^12*T2^7 + 71*T1^13*T2^7 - 60*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 
      30*T1*T2^8 + 55*T1^2*T2^8 - 346*T1^3*T2^8 - 11*T1^4*T2^8 + 
      1132*T1^5*T2^8 - 1295*T1^6*T2^8 - 162*T1^7*T2^8 + 132*T1^8*T2^8 - 
      162*T1^9*T2^8 - 1295*T1^10*T2^8 + 1132*T1^11*T2^8 - 11*T1^12*T2^8 - 
      346*T1^13*T2^8 + 55*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 
      6*T1*T2^9 - 60*T1^2*T2^9 + 71*T1^3*T2^9 + 418*T1^4*T2^9 - 
      728*T1^5*T2^9 - 146*T1^6*T2^9 + 1137*T1^7*T2^9 - 162*T1^8*T2^9 - 
      162*T1^9*T2^9 + 1137*T1^10*T2^9 - 146*T1^11*T2^9 - 728*T1^12*T2^9 + 
      418*T1^13*T2^9 + 71*T1^14*T2^9 - 60*T1^15*T2^9 - 6*T1^16*T2^9 + 
      16*T1^2*T2^10 + 60*T1^3*T2^10 - 233*T1^4*T2^10 - 71*T1^5*T2^10 + 
      617*T1^6*T2^10 - 146*T1^7*T2^10 - 1295*T1^8*T2^10 + 1137*T1^9*T2^10 - 
      1295*T1^10*T2^10 - 146*T1^11*T2^10 + 617*T1^12*T2^10 - 71*T1^13*T2^10 - 
      233*T1^14*T2^10 + 60*T1^15*T2^10 + 16*T1^16*T2^10 - 26*T1^3*T2^11 - 
      18*T1^4*T2^11 + 237*T1^5*T2^11 - 71*T1^6*T2^11 - 728*T1^7*T2^11 + 
      1132*T1^8*T2^11 - 146*T1^9*T2^11 - 146*T1^10*T2^11 + 1132*T1^11*T2^11 - 
      728*T1^12*T2^11 - 71*T1^13*T2^11 + 237*T1^14*T2^11 - 18*T1^15*T2^11 - 
      26*T1^16*T2^11 + 29*T1^4*T2^12 - 18*T1^5*T2^12 - 233*T1^6*T2^12 + 
      418*T1^7*T2^12 - 11*T1^8*T2^12 - 728*T1^9*T2^12 + 617*T1^10*T2^12 - 
      728*T1^11*T2^12 - 11*T1^12*T2^12 + 418*T1^13*T2^12 - 233*T1^14*T2^12 - 
      18*T1^15*T2^12 + 29*T1^16*T2^12 - 26*T1^5*T2^13 + 60*T1^6*T2^13 + 
      71*T1^7*T2^13 - 346*T1^8*T2^13 + 418*T1^9*T2^13 - 71*T1^10*T2^13 - 
      71*T1^11*T2^13 + 418*T1^12*T2^13 - 346*T1^13*T2^13 + 71*T1^14*T2^13 + 
      60*T1^15*T2^13 - 26*T1^16*T2^13 + 16*T1^6*T2^14 - 60*T1^7*T2^14 + 
      55*T1^8*T2^14 + 71*T1^9*T2^14 - 233*T1^10*T2^14 + 237*T1^11*T2^14 - 
      233*T1^12*T2^14 + 71*T1^13*T2^14 + 55*T1^14*T2^14 - 60*T1^15*T2^14 + 
      16*T1^16*T2^14 - 6*T1^7*T2^15 + 30*T1^8*T2^15 - 60*T1^9*T2^15 + 
      60*T1^10*T2^15 - 18*T1^11*T2^15 - 18*T1^12*T2^15 + 60*T1^13*T2^15 - 
      60*T1^14*T2^15 + 30*T1^15*T2^15 - 6*T1^16*T2^15 + T1^8*T2^16 - 
      6*T1^9*T2^16 + 16*T1^10*T2^16 - 26*T1^11*T2^16 + 29*T1^12*T2^16 - 
      26*T1^13*T2^16 + 16*T1^14*T2^16 - 6*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, 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), (1 - 5*T1 + 12*T1^2 - 19*T1^3 + 21*T1^4 - 19*T1^5 + 12*T1^6 - 
     5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 35*T1^2*T2 + 35*T1^3*T2 - 10*T1^4*T2 - 
     10*T1^5*T2 + 35*T1^6*T2 - 35*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
     12*T2^2 - 35*T1*T2^2 + 31*T1^2*T2^2 + 15*T1^3*T2^2 - 87*T1^4*T2^2 + 
     81*T1^5*T2^2 - 87*T1^6*T2^2 + 15*T1^7*T2^2 + 31*T1^8*T2^2 - 
     35*T1^9*T2^2 + 12*T1^10*T2^2 - 19*T2^3 + 35*T1*T2^3 + 15*T1^2*T2^3 - 
     100*T1^3*T2^3 + 149*T1^4*T2^3 - 11*T1^5*T2^3 - 11*T1^6*T2^3 + 
     149*T1^7*T2^3 - 100*T1^8*T2^3 + 15*T1^9*T2^3 + 35*T1^10*T2^3 - 
     19*T1^11*T2^3 + 21*T2^4 - 10*T1*T2^4 - 87*T1^2*T2^4 + 149*T1^3*T2^4 - 
     74*T1^4*T2^4 - 203*T1^5*T2^4 + 126*T1^6*T2^4 - 203*T1^7*T2^4 - 
     74*T1^8*T2^4 + 149*T1^9*T2^4 - 87*T1^10*T2^4 - 10*T1^11*T2^4 + 
     21*T1^12*T2^4 - 19*T2^5 - 10*T1*T2^5 + 81*T1^2*T2^5 - 11*T1^3*T2^5 - 
     203*T1^4*T2^5 + 410*T1^5*T2^5 - 32*T1^6*T2^5 - 32*T1^7*T2^5 + 
     410*T1^8*T2^5 - 203*T1^9*T2^5 - 11*T1^10*T2^5 + 81*T1^11*T2^5 - 
     10*T1^12*T2^5 - 19*T1^13*T2^5 + 12*T2^6 + 35*T1*T2^6 - 87*T1^2*T2^6 - 
     11*T1^3*T2^6 + 126*T1^4*T2^6 - 32*T1^5*T2^6 - 525*T1^6*T2^6 + 
     435*T1^7*T2^6 - 525*T1^8*T2^6 - 32*T1^9*T2^6 + 126*T1^10*T2^6 - 
     11*T1^11*T2^6 - 87*T1^12*T2^6 + 35*T1^13*T2^6 + 12*T1^14*T2^6 - 5*T2^7 - 
     35*T1*T2^7 + 15*T1^2*T2^7 + 149*T1^3*T2^7 - 203*T1^4*T2^7 - 
     32*T1^5*T2^7 + 435*T1^6*T2^7 - 44*T1^7*T2^7 - 44*T1^8*T2^7 + 
     435*T1^9*T2^7 - 32*T1^10*T2^7 - 203*T1^11*T2^7 + 149*T1^12*T2^7 + 
     15*T1^13*T2^7 - 35*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 
     31*T1^2*T2^8 - 100*T1^3*T2^8 - 74*T1^4*T2^8 + 410*T1^5*T2^8 - 
     525*T1^6*T2^8 - 44*T1^7*T2^8 - 44*T1^9*T2^8 - 525*T1^10*T2^8 + 
     410*T1^11*T2^8 - 74*T1^12*T2^8 - 100*T1^13*T2^8 + 31*T1^14*T2^8 + 
     20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 35*T1^2*T2^9 + 15*T1^3*T2^9 + 
     149*T1^4*T2^9 - 203*T1^5*T2^9 - 32*T1^6*T2^9 + 435*T1^7*T2^9 - 
     44*T1^8*T2^9 - 44*T1^9*T2^9 + 435*T1^10*T2^9 - 32*T1^11*T2^9 - 
     203*T1^12*T2^9 + 149*T1^13*T2^9 + 15*T1^14*T2^9 - 35*T1^15*T2^9 - 
     5*T1^16*T2^9 + 12*T1^2*T2^10 + 35*T1^3*T2^10 - 87*T1^4*T2^10 - 
     11*T1^5*T2^10 + 126*T1^6*T2^10 - 32*T1^7*T2^10 - 525*T1^8*T2^10 + 
     435*T1^9*T2^10 - 525*T1^10*T2^10 - 32*T1^11*T2^10 + 126*T1^12*T2^10 - 
     11*T1^13*T2^10 - 87*T1^14*T2^10 + 35*T1^15*T2^10 + 12*T1^16*T2^10 - 
     19*T1^3*T2^11 - 10*T1^4*T2^11 + 81*T1^5*T2^11 - 11*T1^6*T2^11 - 
     203*T1^7*T2^11 + 410*T1^8*T2^11 - 32*T1^9*T2^11 - 32*T1^10*T2^11 + 
     410*T1^11*T2^11 - 203*T1^12*T2^11 - 11*T1^13*T2^11 + 81*T1^14*T2^11 - 
     10*T1^15*T2^11 - 19*T1^16*T2^11 + 21*T1^4*T2^12 - 10*T1^5*T2^12 - 
     87*T1^6*T2^12 + 149*T1^7*T2^12 - 74*T1^8*T2^12 - 203*T1^9*T2^12 + 
     126*T1^10*T2^12 - 203*T1^11*T2^12 - 74*T1^12*T2^12 + 149*T1^13*T2^12 - 
     87*T1^14*T2^12 - 10*T1^15*T2^12 + 21*T1^16*T2^12 - 19*T1^5*T2^13 + 
     35*T1^6*T2^13 + 15*T1^7*T2^13 - 100*T1^8*T2^13 + 149*T1^9*T2^13 - 
     11*T1^10*T2^13 - 11*T1^11*T2^13 + 149*T1^12*T2^13 - 100*T1^13*T2^13 + 
     15*T1^14*T2^13 + 35*T1^15*T2^13 - 19*T1^16*T2^13 + 12*T1^6*T2^14 - 
     35*T1^7*T2^14 + 31*T1^8*T2^14 + 15*T1^9*T2^14 - 87*T1^10*T2^14 + 
     81*T1^11*T2^14 - 87*T1^12*T2^14 + 15*T1^13*T2^14 + 31*T1^14*T2^14 - 
     35*T1^15*T2^14 + 12*T1^16*T2^14 - 5*T1^7*T2^15 + 20*T1^8*T2^15 - 
     35*T1^9*T2^15 + 35*T1^10*T2^15 - 10*T1^11*T2^15 - 10*T1^12*T2^15 + 
     35*T1^13*T2^15 - 35*T1^14*T2^15 + 20*T1^15*T2^15 - 5*T1^16*T2^15 + 
     T1^8*T2^16 - 5*T1^9*T2^16 + 12*T1^10*T2^16 - 19*T1^11*T2^16 + 
     21*T1^12*T2^16 - 19*T1^13*T2^16 + 12*T1^14*T2^16 - 5*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, 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, 
   (2 - 10*T1 + 28*T1^2 - 46*T1^3 + 54*T1^4 - 46*T1^5 + 28*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 90*T1^2*T2 + 90*T1^3*T2 - 40*T1^4*T2 - 
     40*T1^5*T2 + 90*T1^6*T2 - 90*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     28*T2^2 - 90*T1*T2^2 + 168*T1^2*T2^2 - 73*T1^3*T2^2 - 30*T1^4*T2^2 + 
     98*T1^5*T2^2 - 30*T1^6*T2^2 - 73*T1^7*T2^2 + 168*T1^8*T2^2 - 
     90*T1^9*T2^2 + 28*T1^10*T2^2 - 46*T2^3 + 90*T1*T2^3 - 73*T1^2*T2^3 - 
     286*T1^3*T2^3 + 318*T1^4*T2^3 - 178*T1^5*T2^3 - 178*T1^6*T2^3 + 
     318*T1^7*T2^3 - 286*T1^8*T2^3 - 73*T1^9*T2^3 + 90*T1^10*T2^3 - 
     46*T1^11*T2^3 + 54*T2^4 - 40*T1*T2^4 - 30*T1^2*T2^4 + 318*T1^3*T2^4 + 
     441*T1^4*T2^4 - 1087*T1^5*T2^4 + 1539*T1^6*T2^4 - 1087*T1^7*T2^4 + 
     441*T1^8*T2^4 + 318*T1^9*T2^4 - 30*T1^10*T2^4 - 40*T1^11*T2^4 + 
     54*T1^12*T2^4 - 46*T2^5 - 40*T1*T2^5 + 98*T1^2*T2^5 - 178*T1^3*T2^5 - 
     1087*T1^4*T2^5 + 1112*T1^5*T2^5 - 654*T1^6*T2^5 - 654*T1^7*T2^5 + 
     1112*T1^8*T2^5 - 1087*T1^9*T2^5 - 178*T1^10*T2^5 + 98*T1^11*T2^5 - 
     40*T1^12*T2^5 - 46*T1^13*T2^5 + 28*T2^6 + 90*T1*T2^6 - 30*T1^2*T2^6 - 
     178*T1^3*T2^6 + 1539*T1^4*T2^6 - 654*T1^5*T2^6 - 6*T1^6*T2^6 + 
     816*T1^7*T2^6 - 6*T1^8*T2^6 - 654*T1^9*T2^6 + 1539*T1^10*T2^6 - 
     178*T1^11*T2^6 - 30*T1^12*T2^6 + 90*T1^13*T2^6 + 28*T1^14*T2^6 - 
     10*T2^7 - 90*T1*T2^7 - 73*T1^2*T2^7 + 318*T1^3*T2^7 - 1087*T1^4*T2^7 - 
     654*T1^5*T2^7 + 816*T1^6*T2^7 - 726*T1^7*T2^7 - 726*T1^8*T2^7 + 
     816*T1^9*T2^7 - 654*T1^10*T2^7 - 1087*T1^11*T2^7 + 318*T1^12*T2^7 - 
     73*T1^13*T2^7 - 90*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 + 
     168*T1^2*T2^8 - 286*T1^3*T2^8 + 441*T1^4*T2^8 + 1112*T1^5*T2^8 - 
     6*T1^6*T2^8 - 726*T1^7*T2^8 + 1752*T1^8*T2^8 - 726*T1^9*T2^8 - 
     6*T1^10*T2^8 + 1112*T1^11*T2^8 + 441*T1^12*T2^8 - 286*T1^13*T2^8 + 
     168*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     90*T1^2*T2^9 - 73*T1^3*T2^9 + 318*T1^4*T2^9 - 1087*T1^5*T2^9 - 
     654*T1^6*T2^9 + 816*T1^7*T2^9 - 726*T1^8*T2^9 - 726*T1^9*T2^9 + 
     816*T1^10*T2^9 - 654*T1^11*T2^9 - 1087*T1^12*T2^9 + 318*T1^13*T2^9 - 
     73*T1^14*T2^9 - 90*T1^15*T2^9 - 10*T1^16*T2^9 + 28*T1^2*T2^10 + 
     90*T1^3*T2^10 - 30*T1^4*T2^10 - 178*T1^5*T2^10 + 1539*T1^6*T2^10 - 
     654*T1^7*T2^10 - 6*T1^8*T2^10 + 816*T1^9*T2^10 - 6*T1^10*T2^10 - 
     654*T1^11*T2^10 + 1539*T1^12*T2^10 - 178*T1^13*T2^10 - 30*T1^14*T2^10 + 
     90*T1^15*T2^10 + 28*T1^16*T2^10 - 46*T1^3*T2^11 - 40*T1^4*T2^11 + 
     98*T1^5*T2^11 - 178*T1^6*T2^11 - 1087*T1^7*T2^11 + 1112*T1^8*T2^11 - 
     654*T1^9*T2^11 - 654*T1^10*T2^11 + 1112*T1^11*T2^11 - 1087*T1^12*T2^11 - 
     178*T1^13*T2^11 + 98*T1^14*T2^11 - 40*T1^15*T2^11 - 46*T1^16*T2^11 + 
     54*T1^4*T2^12 - 40*T1^5*T2^12 - 30*T1^6*T2^12 + 318*T1^7*T2^12 + 
     441*T1^8*T2^12 - 1087*T1^9*T2^12 + 1539*T1^10*T2^12 - 1087*T1^11*T2^12 + 
     441*T1^12*T2^12 + 318*T1^13*T2^12 - 30*T1^14*T2^12 - 40*T1^15*T2^12 + 
     54*T1^16*T2^12 - 46*T1^5*T2^13 + 90*T1^6*T2^13 - 73*T1^7*T2^13 - 
     286*T1^8*T2^13 + 318*T1^9*T2^13 - 178*T1^10*T2^13 - 178*T1^11*T2^13 + 
     318*T1^12*T2^13 - 286*T1^13*T2^13 - 73*T1^14*T2^13 + 90*T1^15*T2^13 - 
     46*T1^16*T2^13 + 28*T1^6*T2^14 - 90*T1^7*T2^14 + 168*T1^8*T2^14 - 
     73*T1^9*T2^14 - 30*T1^10*T2^14 + 98*T1^11*T2^14 - 30*T1^12*T2^14 - 
     73*T1^13*T2^14 + 168*T1^14*T2^14 - 90*T1^15*T2^14 + 28*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 90*T1^9*T2^15 + 90*T1^10*T2^15 - 
     40*T1^11*T2^15 - 40*T1^12*T2^15 + 90*T1^13*T2^15 - 90*T1^14*T2^15 + 
     40*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)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 84] -> 
  {-((2 - 10*T + 23*T^2 - 31*T^3 + 23*T^4 - 10*T^5 + 2*T^6)/T^3), 
   (1 - 5*T1 + 11*T1^2 - 15*T1^3 + 11*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 30*T1^2*T2 + 20*T1^3*T2 + 20*T1^4*T2 - 30*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 11*T2^2 - 30*T1*T2^2 + 9*T1^2*T2^2 + 
     57*T1^3*T2^2 - 139*T1^4*T2^2 + 57*T1^5*T2^2 + 9*T1^6*T2^2 - 
     30*T1^7*T2^2 + 11*T1^8*T2^2 - 15*T2^3 + 20*T1*T2^3 + 57*T1^2*T2^3 - 
     156*T1^3*T2^3 + 154*T1^4*T2^3 + 154*T1^5*T2^3 - 156*T1^6*T2^3 + 
     57*T1^7*T2^3 + 20*T1^8*T2^3 - 15*T1^9*T2^3 + 11*T2^4 + 20*T1*T2^4 - 
     139*T1^2*T2^4 + 154*T1^3*T2^4 + 91*T1^4*T2^4 - 485*T1^5*T2^4 + 
     91*T1^6*T2^4 + 154*T1^7*T2^4 - 139*T1^8*T2^4 + 20*T1^9*T2^4 + 
     11*T1^10*T2^4 - 5*T2^5 - 30*T1*T2^5 + 57*T1^2*T2^5 + 154*T1^3*T2^5 - 
     485*T1^4*T2^5 + 446*T1^5*T2^5 + 446*T1^6*T2^5 - 485*T1^7*T2^5 + 
     154*T1^8*T2^5 + 57*T1^9*T2^5 - 30*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 + 9*T1^2*T2^6 - 156*T1^3*T2^6 + 91*T1^4*T2^6 + 
     446*T1^5*T2^6 - 1116*T1^6*T2^6 + 446*T1^7*T2^6 + 91*T1^8*T2^6 - 
     156*T1^9*T2^6 + 9*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     30*T1^2*T2^7 + 57*T1^3*T2^7 + 154*T1^4*T2^7 - 485*T1^5*T2^7 + 
     446*T1^6*T2^7 + 446*T1^7*T2^7 - 485*T1^8*T2^7 + 154*T1^9*T2^7 + 
     57*T1^10*T2^7 - 30*T1^11*T2^7 - 5*T1^12*T2^7 + 11*T1^2*T2^8 + 
     20*T1^3*T2^8 - 139*T1^4*T2^8 + 154*T1^5*T2^8 + 91*T1^6*T2^8 - 
     485*T1^7*T2^8 + 91*T1^8*T2^8 + 154*T1^9*T2^8 - 139*T1^10*T2^8 + 
     20*T1^11*T2^8 + 11*T1^12*T2^8 - 15*T1^3*T2^9 + 20*T1^4*T2^9 + 
     57*T1^5*T2^9 - 156*T1^6*T2^9 + 154*T1^7*T2^9 + 154*T1^8*T2^9 - 
     156*T1^9*T2^9 + 57*T1^10*T2^9 + 20*T1^11*T2^9 - 15*T1^12*T2^9 + 
     11*T1^4*T2^10 - 30*T1^5*T2^10 + 9*T1^6*T2^10 + 57*T1^7*T2^10 - 
     139*T1^8*T2^10 + 57*T1^9*T2^10 + 9*T1^10*T2^10 - 30*T1^11*T2^10 + 
     11*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 30*T1^7*T2^11 + 
     20*T1^8*T2^11 + 20*T1^9*T2^11 - 30*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 11*T1^8*T2^12 - 
     15*T1^9*T2^12 + 11*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 85] -> 
  {(2 - 10*T + 25*T^2 - 33*T^3 + 25*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (9 - 45*T1 + 113*T1^2 - 149*T1^3 + 113*T1^4 - 45*T1^5 + 9*T1^6 - 45*T2 + 
     180*T1*T2 - 340*T1^2*T2 + 180*T1^3*T2 + 180*T1^4*T2 - 340*T1^5*T2 + 
     180*T1^6*T2 - 45*T1^7*T2 + 113*T2^2 - 340*T1*T2^2 + 405*T1^2*T2^2 + 
     403*T1^3*T2^2 - 913*T1^4*T2^2 + 403*T1^5*T2^2 + 405*T1^6*T2^2 - 
     340*T1^7*T2^2 + 113*T1^8*T2^2 - 149*T2^3 + 180*T1*T2^3 + 403*T1^2*T2^3 - 
     1996*T1^3*T2^3 + 1174*T1^4*T2^3 + 1174*T1^5*T2^3 - 1996*T1^6*T2^3 + 
     403*T1^7*T2^3 + 180*T1^8*T2^3 - 149*T1^9*T2^3 + 113*T2^4 + 180*T1*T2^4 - 
     913*T1^2*T2^4 + 1174*T1^3*T2^4 + 3287*T1^4*T2^4 - 6013*T1^5*T2^4 + 
     3287*T1^6*T2^4 + 1174*T1^7*T2^4 - 913*T1^8*T2^4 + 180*T1^9*T2^4 + 
     113*T1^10*T2^4 - 45*T2^5 - 340*T1*T2^5 + 403*T1^2*T2^5 + 
     1174*T1^3*T2^5 - 6013*T1^4*T2^5 + 3522*T1^5*T2^5 + 3522*T1^6*T2^5 - 
     6013*T1^7*T2^5 + 1174*T1^8*T2^5 + 403*T1^9*T2^5 - 340*T1^10*T2^5 - 
     45*T1^11*T2^5 + 9*T2^6 + 180*T1*T2^6 + 405*T1^2*T2^6 - 1996*T1^3*T2^6 + 
     3287*T1^4*T2^6 + 3522*T1^5*T2^6 - 7812*T1^6*T2^6 + 3522*T1^7*T2^6 + 
     3287*T1^8*T2^6 - 1996*T1^9*T2^6 + 405*T1^10*T2^6 + 180*T1^11*T2^6 + 
     9*T1^12*T2^6 - 45*T1*T2^7 - 340*T1^2*T2^7 + 403*T1^3*T2^7 + 
     1174*T1^4*T2^7 - 6013*T1^5*T2^7 + 3522*T1^6*T2^7 + 3522*T1^7*T2^7 - 
     6013*T1^8*T2^7 + 1174*T1^9*T2^7 + 403*T1^10*T2^7 - 340*T1^11*T2^7 - 
     45*T1^12*T2^7 + 113*T1^2*T2^8 + 180*T1^3*T2^8 - 913*T1^4*T2^8 + 
     1174*T1^5*T2^8 + 3287*T1^6*T2^8 - 6013*T1^7*T2^8 + 3287*T1^8*T2^8 + 
     1174*T1^9*T2^8 - 913*T1^10*T2^8 + 180*T1^11*T2^8 + 113*T1^12*T2^8 - 
     149*T1^3*T2^9 + 180*T1^4*T2^9 + 403*T1^5*T2^9 - 1996*T1^6*T2^9 + 
     1174*T1^7*T2^9 + 1174*T1^8*T2^9 - 1996*T1^9*T2^9 + 403*T1^10*T2^9 + 
     180*T1^11*T2^9 - 149*T1^12*T2^9 + 113*T1^4*T2^10 - 340*T1^5*T2^10 + 
     405*T1^6*T2^10 + 403*T1^7*T2^10 - 913*T1^8*T2^10 + 403*T1^9*T2^10 + 
     405*T1^10*T2^10 - 340*T1^11*T2^10 + 113*T1^12*T2^10 - 45*T1^5*T2^11 + 
     180*T1^6*T2^11 - 340*T1^7*T2^11 + 180*T1^8*T2^11 + 180*T1^9*T2^11 - 
     340*T1^10*T2^11 + 180*T1^11*T2^11 - 45*T1^12*T2^11 + 9*T1^6*T2^12 - 
     45*T1^7*T2^12 + 113*T1^8*T2^12 - 149*T1^9*T2^12 + 113*T1^10*T2^12 - 
     45*T1^11*T2^12 + 9*T1^12*T2^12)/(T1^6*T2^6)}, 
 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), 
   -((1 - 5*T1 + 12*T1^2 - 18*T1^3 + 19*T1^4 - 18*T1^5 + 12*T1^6 - 5*T1^7 + 
      T1^8 - 5*T2 + 20*T1*T2 - 35*T1^2*T2 + 30*T1^3*T2 - 5*T1^4*T2 - 
      5*T1^5*T2 + 30*T1^6*T2 - 35*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
      12*T2^2 - 35*T1*T2^2 + 31*T1^2*T2^2 + 26*T1^3*T2^2 - 87*T1^4*T2^2 + 
      59*T1^5*T2^2 - 87*T1^6*T2^2 + 26*T1^7*T2^2 + 31*T1^8*T2^2 - 
      35*T1^9*T2^2 + 12*T1^10*T2^2 - 18*T2^3 + 30*T1*T2^3 + 26*T1^2*T2^3 - 
      128*T1^3*T2^3 + 143*T1^4*T2^3 + 17*T1^5*T2^3 + 17*T1^6*T2^3 + 
      143*T1^7*T2^3 - 128*T1^8*T2^3 + 26*T1^9*T2^3 + 30*T1^10*T2^3 - 
      18*T1^11*T2^3 + 19*T2^4 - 5*T1*T2^4 - 87*T1^2*T2^4 + 143*T1^3*T2^4 - 
      11*T1^4*T2^4 - 246*T1^5*T2^4 + 85*T1^6*T2^4 - 246*T1^7*T2^4 - 
      11*T1^8*T2^4 + 143*T1^9*T2^4 - 87*T1^10*T2^4 - 5*T1^11*T2^4 + 
      19*T1^12*T2^4 - 18*T2^5 - 5*T1*T2^5 + 59*T1^2*T2^5 + 17*T1^3*T2^5 - 
      246*T1^4*T2^5 + 380*T1^5*T2^5 + 31*T1^6*T2^5 + 31*T1^7*T2^5 + 
      380*T1^8*T2^5 - 246*T1^9*T2^5 + 17*T1^10*T2^5 + 59*T1^11*T2^5 - 
      5*T1^12*T2^5 - 18*T1^13*T2^5 + 12*T2^6 + 30*T1*T2^6 - 87*T1^2*T2^6 + 
      17*T1^3*T2^6 + 85*T1^4*T2^6 + 31*T1^5*T2^6 - 563*T1^6*T2^6 + 
      441*T1^7*T2^6 - 563*T1^8*T2^6 + 31*T1^9*T2^6 + 85*T1^10*T2^6 + 
      17*T1^11*T2^6 - 87*T1^12*T2^6 + 30*T1^13*T2^6 + 12*T1^14*T2^6 - 
      5*T2^7 - 35*T1*T2^7 + 26*T1^2*T2^7 + 143*T1^3*T2^7 - 246*T1^4*T2^7 + 
      31*T1^5*T2^7 + 441*T1^6*T2^7 - 102*T1^7*T2^7 - 102*T1^8*T2^7 + 
      441*T1^9*T2^7 + 31*T1^10*T2^7 - 246*T1^11*T2^7 + 143*T1^12*T2^7 + 
      26*T1^13*T2^7 - 35*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 
      31*T1^2*T2^8 - 128*T1^3*T2^8 - 11*T1^4*T2^8 + 380*T1^5*T2^8 - 
      563*T1^6*T2^8 - 102*T1^7*T2^8 + 252*T1^8*T2^8 - 102*T1^9*T2^8 - 
      563*T1^10*T2^8 + 380*T1^11*T2^8 - 11*T1^12*T2^8 - 128*T1^13*T2^8 + 
      31*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 35*T1^2*T2^9 + 
      26*T1^3*T2^9 + 143*T1^4*T2^9 - 246*T1^5*T2^9 + 31*T1^6*T2^9 + 
      441*T1^7*T2^9 - 102*T1^8*T2^9 - 102*T1^9*T2^9 + 441*T1^10*T2^9 + 
      31*T1^11*T2^9 - 246*T1^12*T2^9 + 143*T1^13*T2^9 + 26*T1^14*T2^9 - 
      35*T1^15*T2^9 - 5*T1^16*T2^9 + 12*T1^2*T2^10 + 30*T1^3*T2^10 - 
      87*T1^4*T2^10 + 17*T1^5*T2^10 + 85*T1^6*T2^10 + 31*T1^7*T2^10 - 
      563*T1^8*T2^10 + 441*T1^9*T2^10 - 563*T1^10*T2^10 + 31*T1^11*T2^10 + 
      85*T1^12*T2^10 + 17*T1^13*T2^10 - 87*T1^14*T2^10 + 30*T1^15*T2^10 + 
      12*T1^16*T2^10 - 18*T1^3*T2^11 - 5*T1^4*T2^11 + 59*T1^5*T2^11 + 
      17*T1^6*T2^11 - 246*T1^7*T2^11 + 380*T1^8*T2^11 + 31*T1^9*T2^11 + 
      31*T1^10*T2^11 + 380*T1^11*T2^11 - 246*T1^12*T2^11 + 17*T1^13*T2^11 + 
      59*T1^14*T2^11 - 5*T1^15*T2^11 - 18*T1^16*T2^11 + 19*T1^4*T2^12 - 
      5*T1^5*T2^12 - 87*T1^6*T2^12 + 143*T1^7*T2^12 - 11*T1^8*T2^12 - 
      246*T1^9*T2^12 + 85*T1^10*T2^12 - 246*T1^11*T2^12 - 11*T1^12*T2^12 + 
      143*T1^13*T2^12 - 87*T1^14*T2^12 - 5*T1^15*T2^12 + 19*T1^16*T2^12 - 
      18*T1^5*T2^13 + 30*T1^6*T2^13 + 26*T1^7*T2^13 - 128*T1^8*T2^13 + 
      143*T1^9*T2^13 + 17*T1^10*T2^13 + 17*T1^11*T2^13 + 143*T1^12*T2^13 - 
      128*T1^13*T2^13 + 26*T1^14*T2^13 + 30*T1^15*T2^13 - 18*T1^16*T2^13 + 
      12*T1^6*T2^14 - 35*T1^7*T2^14 + 31*T1^8*T2^14 + 26*T1^9*T2^14 - 
      87*T1^10*T2^14 + 59*T1^11*T2^14 - 87*T1^12*T2^14 + 26*T1^13*T2^14 + 
      31*T1^14*T2^14 - 35*T1^15*T2^14 + 12*T1^16*T2^14 - 5*T1^7*T2^15 + 
      20*T1^8*T2^15 - 35*T1^9*T2^15 + 30*T1^10*T2^15 - 5*T1^11*T2^15 - 
      5*T1^12*T2^15 + 30*T1^13*T2^15 - 35*T1^14*T2^15 + 20*T1^15*T2^15 - 
      5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 12*T1^10*T2^16 - 
      18*T1^11*T2^16 + 19*T1^12*T2^16 - 18*T1^13*T2^16 + 12*T1^14*T2^16 - 
      5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[11, Alternating, 87] -> 
  {-(((-2 + 5*T - 3*T^2 + T^3)*(-1 + 3*T - 5*T^2 + 2*T^3))/T^3), 
   -((1 - 5*T1 + 12*T1^2 - 17*T1^3 + 12*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
      20*T1*T2 - 35*T1^2*T2 + 25*T1^3*T2 + 25*T1^4*T2 - 35*T1^5*T2 + 
      20*T1^6*T2 - 5*T1^7*T2 + 12*T2^2 - 35*T1*T2^2 + 37*T1^2*T2^2 + 
      6*T1^3*T2^2 - 83*T1^4*T2^2 + 6*T1^5*T2^2 + 37*T1^6*T2^2 - 
      35*T1^7*T2^2 + 12*T1^8*T2^2 - 17*T2^3 + 25*T1*T2^3 + 6*T1^2*T2^3 - 
      46*T1^3*T2^3 + 91*T1^4*T2^3 + 91*T1^5*T2^3 - 46*T1^6*T2^3 + 
      6*T1^7*T2^3 + 25*T1^8*T2^3 - 17*T1^9*T2^3 + 12*T2^4 + 25*T1*T2^4 - 
      83*T1^2*T2^4 + 91*T1^3*T2^4 - 115*T1^4*T2^4 - 95*T1^5*T2^4 - 
      115*T1^6*T2^4 + 91*T1^7*T2^4 - 83*T1^8*T2^4 + 25*T1^9*T2^4 + 
      12*T1^10*T2^4 - 5*T2^5 - 35*T1*T2^5 + 6*T1^2*T2^5 + 91*T1^3*T2^5 - 
      95*T1^4*T2^5 + 216*T1^5*T2^5 + 216*T1^6*T2^5 - 95*T1^7*T2^5 + 
      91*T1^8*T2^5 + 6*T1^9*T2^5 - 35*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
      20*T1*T2^6 + 37*T1^2*T2^6 - 46*T1^3*T2^6 - 115*T1^4*T2^6 + 
      216*T1^5*T2^6 - 636*T1^6*T2^6 + 216*T1^7*T2^6 - 115*T1^8*T2^6 - 
      46*T1^9*T2^6 + 37*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
      35*T1^2*T2^7 + 6*T1^3*T2^7 + 91*T1^4*T2^7 - 95*T1^5*T2^7 + 
      216*T1^6*T2^7 + 216*T1^7*T2^7 - 95*T1^8*T2^7 + 91*T1^9*T2^7 + 
      6*T1^10*T2^7 - 35*T1^11*T2^7 - 5*T1^12*T2^7 + 12*T1^2*T2^8 + 
      25*T1^3*T2^8 - 83*T1^4*T2^8 + 91*T1^5*T2^8 - 115*T1^6*T2^8 - 
      95*T1^7*T2^8 - 115*T1^8*T2^8 + 91*T1^9*T2^8 - 83*T1^10*T2^8 + 
      25*T1^11*T2^8 + 12*T1^12*T2^8 - 17*T1^3*T2^9 + 25*T1^4*T2^9 + 
      6*T1^5*T2^9 - 46*T1^6*T2^9 + 91*T1^7*T2^9 + 91*T1^8*T2^9 - 
      46*T1^9*T2^9 + 6*T1^10*T2^9 + 25*T1^11*T2^9 - 17*T1^12*T2^9 + 
      12*T1^4*T2^10 - 35*T1^5*T2^10 + 37*T1^6*T2^10 + 6*T1^7*T2^10 - 
      83*T1^8*T2^10 + 6*T1^9*T2^10 + 37*T1^10*T2^10 - 35*T1^11*T2^10 + 
      12*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 35*T1^7*T2^11 + 
      25*T1^8*T2^11 + 25*T1^9*T2^11 - 35*T1^10*T2^11 + 20*T1^11*T2^11 - 
      5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 12*T1^8*T2^12 - 
      17*T1^9*T2^12 + 12*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, 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, 
   -((T1^2 + T1^4 - 5*T1^2*T2 - T1^3*T2 - T1^4*T2 - 5*T1^5*T2 + T2^2 - 
      5*T1*T2^2 + 21*T1^2*T2^2 + T1^3*T2^2 + 5*T1^4*T2^2 + T1^5*T2^2 + 
      21*T1^6*T2^2 - 5*T1^7*T2^2 + T1^8*T2^2 - T1*T2^3 + T1^2*T2^3 - 
      64*T1^3*T2^3 + 12*T1^4*T2^3 + 12*T1^5*T2^3 - 64*T1^6*T2^3 + T1^7*T2^3 - 
      T1^8*T2^3 + T2^4 - T1*T2^4 + 5*T1^2*T2^4 + 12*T1^3*T2^4 + 
      152*T1^4*T2^4 - 140*T1^5*T2^4 + 152*T1^6*T2^4 + 12*T1^7*T2^4 + 
      5*T1^8*T2^4 - T1^9*T2^4 + T1^10*T2^4 - 5*T1*T2^5 + T1^2*T2^5 + 
      12*T1^3*T2^5 - 140*T1^4*T2^5 - 12*T1^5*T2^5 - 12*T1^6*T2^5 - 
      140*T1^7*T2^5 + 12*T1^8*T2^5 + T1^9*T2^5 - 5*T1^10*T2^5 + 
      21*T1^2*T2^6 - 64*T1^3*T2^6 + 152*T1^4*T2^6 - 12*T1^5*T2^6 + 
      132*T1^6*T2^6 - 12*T1^7*T2^6 + 152*T1^8*T2^6 - 64*T1^9*T2^6 + 
      21*T1^10*T2^6 - 5*T1^2*T2^7 + T1^3*T2^7 + 12*T1^4*T2^7 - 
      140*T1^5*T2^7 - 12*T1^6*T2^7 - 12*T1^7*T2^7 - 140*T1^8*T2^7 + 
      12*T1^9*T2^7 + T1^10*T2^7 - 5*T1^11*T2^7 + T1^2*T2^8 - T1^3*T2^8 + 
      5*T1^4*T2^8 + 12*T1^5*T2^8 + 152*T1^6*T2^8 - 140*T1^7*T2^8 + 
      152*T1^8*T2^8 + 12*T1^9*T2^8 + 5*T1^10*T2^8 - T1^11*T2^8 + T1^12*T2^8 - 
      T1^4*T2^9 + T1^5*T2^9 - 64*T1^6*T2^9 + 12*T1^7*T2^9 + 12*T1^8*T2^9 - 
      64*T1^9*T2^9 + T1^10*T2^9 - T1^11*T2^9 + T1^4*T2^10 - 5*T1^5*T2^10 + 
      21*T1^6*T2^10 + T1^7*T2^10 + 5*T1^8*T2^10 + T1^9*T2^10 + 
      21*T1^10*T2^10 - 5*T1^11*T2^10 + T1^12*T2^10 - 5*T1^7*T2^11 - 
      T1^8*T2^11 - T1^9*T2^11 - 5*T1^10*T2^11 + T1^8*T2^12 + T1^10*T2^12)/
     (T1^6*T2^6))}, Knot[11, Alternating, 89] -> 
  {(2 - 12*T + 28*T^2 - 35*T^3 + 28*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (9 - 53*T1 + 121*T1^2 - 149*T1^3 + 121*T1^4 - 53*T1^5 + 9*T1^6 - 53*T2 + 
     260*T1*T2 - 404*T1^2*T2 + 168*T1^3*T2 + 168*T1^4*T2 - 404*T1^5*T2 + 
     260*T1^6*T2 - 53*T1^7*T2 + 121*T2^2 - 404*T1*T2^2 - 76*T1^2*T2^2 + 
     1482*T1^3*T2^2 - 1958*T1^4*T2^2 + 1482*T1^5*T2^2 - 76*T1^6*T2^2 - 
     404*T1^7*T2^2 + 121*T1^8*T2^2 - 149*T2^3 + 168*T1*T2^3 + 
     1482*T1^2*T2^3 - 3174*T1^3*T2^3 + 1260*T1^4*T2^3 + 1260*T1^5*T2^3 - 
     3174*T1^6*T2^3 + 1482*T1^7*T2^3 + 168*T1^8*T2^3 - 149*T1^9*T2^3 + 
     121*T2^4 + 168*T1*T2^4 - 1958*T1^2*T2^4 + 1260*T1^3*T2^4 + 
     4080*T1^4*T2^4 - 5766*T1^5*T2^4 + 4080*T1^6*T2^4 + 1260*T1^7*T2^4 - 
     1958*T1^8*T2^4 + 168*T1^9*T2^4 + 121*T1^10*T2^4 - 53*T2^5 - 
     404*T1*T2^5 + 1482*T1^2*T2^5 + 1260*T1^3*T2^5 - 5766*T1^4*T2^5 + 
     2376*T1^5*T2^5 + 2376*T1^6*T2^5 - 5766*T1^7*T2^5 + 1260*T1^8*T2^5 + 
     1482*T1^9*T2^5 - 404*T1^10*T2^5 - 53*T1^11*T2^5 + 9*T2^6 + 260*T1*T2^6 - 
     76*T1^2*T2^6 - 3174*T1^3*T2^6 + 4080*T1^4*T2^6 + 2376*T1^5*T2^6 - 
     4500*T1^6*T2^6 + 2376*T1^7*T2^6 + 4080*T1^8*T2^6 - 3174*T1^9*T2^6 - 
     76*T1^10*T2^6 + 260*T1^11*T2^6 + 9*T1^12*T2^6 - 53*T1*T2^7 - 
     404*T1^2*T2^7 + 1482*T1^3*T2^7 + 1260*T1^4*T2^7 - 5766*T1^5*T2^7 + 
     2376*T1^6*T2^7 + 2376*T1^7*T2^7 - 5766*T1^8*T2^7 + 1260*T1^9*T2^7 + 
     1482*T1^10*T2^7 - 404*T1^11*T2^7 - 53*T1^12*T2^7 + 121*T1^2*T2^8 + 
     168*T1^3*T2^8 - 1958*T1^4*T2^8 + 1260*T1^5*T2^8 + 4080*T1^6*T2^8 - 
     5766*T1^7*T2^8 + 4080*T1^8*T2^8 + 1260*T1^9*T2^8 - 1958*T1^10*T2^8 + 
     168*T1^11*T2^8 + 121*T1^12*T2^8 - 149*T1^3*T2^9 + 168*T1^4*T2^9 + 
     1482*T1^5*T2^9 - 3174*T1^6*T2^9 + 1260*T1^7*T2^9 + 1260*T1^8*T2^9 - 
     3174*T1^9*T2^9 + 1482*T1^10*T2^9 + 168*T1^11*T2^9 - 149*T1^12*T2^9 + 
     121*T1^4*T2^10 - 404*T1^5*T2^10 - 76*T1^6*T2^10 + 1482*T1^7*T2^10 - 
     1958*T1^8*T2^10 + 1482*T1^9*T2^10 - 76*T1^10*T2^10 - 404*T1^11*T2^10 + 
     121*T1^12*T2^10 - 53*T1^5*T2^11 + 260*T1^6*T2^11 - 404*T1^7*T2^11 + 
     168*T1^8*T2^11 + 168*T1^9*T2^11 - 404*T1^10*T2^11 + 260*T1^11*T2^11 - 
     53*T1^12*T2^11 + 9*T1^6*T2^12 - 53*T1^7*T2^12 + 121*T1^8*T2^12 - 
     149*T1^9*T2^12 + 121*T1^10*T2^12 - 53*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 90] -> 
  {(2 - 10*T + 20*T^2 - 23*T^3 + 20*T^4 - 10*T^5 + 2*T^6)/T^3, 
   -((7 - 35*T1 + 69*T1^2 - 79*T1^3 + 69*T1^4 - 35*T1^5 + 7*T1^6 - 35*T2 + 
      140*T1*T2 - 170*T1^2*T2 + 50*T1^3*T2 + 50*T1^4*T2 - 170*T1^5*T2 + 
      140*T1^6*T2 - 35*T1^7*T2 + 69*T2^2 - 170*T1*T2^2 - 141*T1^2*T2^2 + 
      659*T1^3*T2^2 - 701*T1^4*T2^2 + 659*T1^5*T2^2 - 141*T1^6*T2^2 - 
      170*T1^7*T2^2 + 69*T1^8*T2^2 - 79*T2^3 + 50*T1*T2^3 + 659*T1^2*T2^3 - 
      1044*T1^3*T2^3 + 248*T1^4*T2^3 + 248*T1^5*T2^3 - 1044*T1^6*T2^3 + 
      659*T1^7*T2^3 + 50*T1^8*T2^3 - 79*T1^9*T2^3 + 69*T2^4 + 50*T1*T2^4 - 
      701*T1^2*T2^4 + 248*T1^3*T2^4 + 1382*T1^4*T2^4 - 1566*T1^5*T2^4 + 
      1382*T1^6*T2^4 + 248*T1^7*T2^4 - 701*T1^8*T2^4 + 50*T1^9*T2^4 + 
      69*T1^10*T2^4 - 35*T2^5 - 170*T1*T2^5 + 659*T1^2*T2^5 + 248*T1^3*T2^5 - 
      1566*T1^4*T2^5 + 552*T1^5*T2^5 + 552*T1^6*T2^5 - 1566*T1^7*T2^5 + 
      248*T1^8*T2^5 + 659*T1^9*T2^5 - 170*T1^10*T2^5 - 35*T1^11*T2^5 + 
      7*T2^6 + 140*T1*T2^6 - 141*T1^2*T2^6 - 1044*T1^3*T2^6 + 
      1382*T1^4*T2^6 + 552*T1^5*T2^6 - 1152*T1^6*T2^6 + 552*T1^7*T2^6 + 
      1382*T1^8*T2^6 - 1044*T1^9*T2^6 - 141*T1^10*T2^6 + 140*T1^11*T2^6 + 
      7*T1^12*T2^6 - 35*T1*T2^7 - 170*T1^2*T2^7 + 659*T1^3*T2^7 + 
      248*T1^4*T2^7 - 1566*T1^5*T2^7 + 552*T1^6*T2^7 + 552*T1^7*T2^7 - 
      1566*T1^8*T2^7 + 248*T1^9*T2^7 + 659*T1^10*T2^7 - 170*T1^11*T2^7 - 
      35*T1^12*T2^7 + 69*T1^2*T2^8 + 50*T1^3*T2^8 - 701*T1^4*T2^8 + 
      248*T1^5*T2^8 + 1382*T1^6*T2^8 - 1566*T1^7*T2^8 + 1382*T1^8*T2^8 + 
      248*T1^9*T2^8 - 701*T1^10*T2^8 + 50*T1^11*T2^8 + 69*T1^12*T2^8 - 
      79*T1^3*T2^9 + 50*T1^4*T2^9 + 659*T1^5*T2^9 - 1044*T1^6*T2^9 + 
      248*T1^7*T2^9 + 248*T1^8*T2^9 - 1044*T1^9*T2^9 + 659*T1^10*T2^9 + 
      50*T1^11*T2^9 - 79*T1^12*T2^9 + 69*T1^4*T2^10 - 170*T1^5*T2^10 - 
      141*T1^6*T2^10 + 659*T1^7*T2^10 - 701*T1^8*T2^10 + 659*T1^9*T2^10 - 
      141*T1^10*T2^10 - 170*T1^11*T2^10 + 69*T1^12*T2^10 - 35*T1^5*T2^11 + 
      140*T1^6*T2^11 - 170*T1^7*T2^11 + 50*T1^8*T2^11 + 50*T1^9*T2^11 - 
      170*T1^10*T2^11 + 140*T1^11*T2^11 - 35*T1^12*T2^11 + 7*T1^6*T2^12 - 
      35*T1^7*T2^12 + 69*T1^8*T2^12 - 79*T1^9*T2^12 + 69*T1^10*T2^12 - 
      35*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, Alternating, 91] -> 
  {-((2 - 12*T + 30*T^2 - 41*T^3 + 30*T^4 - 12*T^5 + 2*T^6)/T^3), 
   -((1 - 5*T1 + 11*T1^2 - 15*T1^3 + 11*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
      20*T1*T2 - 30*T1^2*T2 + 20*T1^3*T2 + 20*T1^4*T2 - 30*T1^5*T2 + 
      20*T1^6*T2 - 5*T1^7*T2 + 11*T2^2 - 30*T1*T2^2 + 20*T1^2*T2^2 + 
      8*T1^3*T2^2 - 66*T1^4*T2^2 + 8*T1^5*T2^2 + 20*T1^6*T2^2 - 
      30*T1^7*T2^2 + 11*T1^8*T2^2 - 15*T2^3 + 20*T1*T2^3 + 8*T1^2*T2^3 + 
      62*T1^4*T2^3 + 62*T1^5*T2^3 + 8*T1^7*T2^3 + 20*T1^8*T2^3 - 
      15*T1^9*T2^3 + 11*T2^4 + 20*T1*T2^4 - 66*T1^2*T2^4 + 62*T1^3*T2^4 - 
      227*T1^4*T2^4 + 69*T1^5*T2^4 - 227*T1^6*T2^4 + 62*T1^7*T2^4 - 
      66*T1^8*T2^4 + 20*T1^9*T2^4 + 11*T1^10*T2^4 - 5*T2^5 - 30*T1*T2^5 + 
      8*T1^2*T2^5 + 62*T1^3*T2^5 + 69*T1^4*T2^5 + 160*T1^5*T2^5 + 
      160*T1^6*T2^5 + 69*T1^7*T2^5 + 62*T1^8*T2^5 + 8*T1^9*T2^5 - 
      30*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 20*T1*T2^6 + 20*T1^2*T2^6 - 
      227*T1^4*T2^6 + 160*T1^5*T2^6 - 564*T1^6*T2^6 + 160*T1^7*T2^6 - 
      227*T1^8*T2^6 + 20*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 
      5*T1*T2^7 - 30*T1^2*T2^7 + 8*T1^3*T2^7 + 62*T1^4*T2^7 + 69*T1^5*T2^7 + 
      160*T1^6*T2^7 + 160*T1^7*T2^7 + 69*T1^8*T2^7 + 62*T1^9*T2^7 + 
      8*T1^10*T2^7 - 30*T1^11*T2^7 - 5*T1^12*T2^7 + 11*T1^2*T2^8 + 
      20*T1^3*T2^8 - 66*T1^4*T2^8 + 62*T1^5*T2^8 - 227*T1^6*T2^8 + 
      69*T1^7*T2^8 - 227*T1^8*T2^8 + 62*T1^9*T2^8 - 66*T1^10*T2^8 + 
      20*T1^11*T2^8 + 11*T1^12*T2^8 - 15*T1^3*T2^9 + 20*T1^4*T2^9 + 
      8*T1^5*T2^9 + 62*T1^7*T2^9 + 62*T1^8*T2^9 + 8*T1^10*T2^9 + 
      20*T1^11*T2^9 - 15*T1^12*T2^9 + 11*T1^4*T2^10 - 30*T1^5*T2^10 + 
      20*T1^6*T2^10 + 8*T1^7*T2^10 - 66*T1^8*T2^10 + 8*T1^9*T2^10 + 
      20*T1^10*T2^10 - 30*T1^11*T2^10 + 11*T1^12*T2^10 - 5*T1^5*T2^11 + 
      20*T1^6*T2^11 - 30*T1^7*T2^11 + 20*T1^8*T2^11 + 20*T1^9*T2^11 - 
      30*T1^10*T2^11 + 20*T1^11*T2^11 - 5*T1^12*T2^11 + T1^6*T2^12 - 
      5*T1^7*T2^12 + 11*T1^8*T2^12 - 15*T1^9*T2^12 + 11*T1^10*T2^12 - 
      5*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 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), (1 - 5*T1 + 12*T1^2 - 21*T1^3 + 25*T1^4 - 21*T1^5 + 12*T1^6 - 
     5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 35*T1^2*T2 + 45*T1^3*T2 - 20*T1^4*T2 - 
     20*T1^5*T2 + 45*T1^6*T2 - 35*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
     12*T2^2 - 35*T1*T2^2 + 29*T1^2*T2^2 - 5*T1^3*T2^2 - 97*T1^4*T2^2 + 
     143*T1^5*T2^2 - 97*T1^6*T2^2 - 5*T1^7*T2^2 + 29*T1^8*T2^2 - 
     35*T1^9*T2^2 + 12*T1^10*T2^2 - 21*T2^3 + 45*T1*T2^3 - 5*T1^2*T2^3 - 
     18*T1^3*T2^3 + 156*T1^4*T2^3 - 77*T1^5*T2^3 - 77*T1^6*T2^3 + 
     156*T1^7*T2^3 - 18*T1^8*T2^3 - 5*T1^9*T2^3 + 45*T1^10*T2^3 - 
     21*T1^11*T2^3 + 25*T2^4 - 20*T1*T2^4 - 97*T1^2*T2^4 + 156*T1^3*T2^4 - 
     412*T1^4*T2^4 + 214*T1^5*T2^4 - 118*T1^6*T2^4 + 214*T1^7*T2^4 - 
     412*T1^8*T2^4 + 156*T1^9*T2^4 - 97*T1^10*T2^4 - 20*T1^11*T2^4 + 
     25*T1^12*T2^4 - 21*T2^5 - 20*T1*T2^5 + 143*T1^2*T2^5 - 77*T1^3*T2^5 + 
     214*T1^4*T2^5 + 298*T1^5*T2^5 - 177*T1^6*T2^5 - 177*T1^7*T2^5 + 
     298*T1^8*T2^5 + 214*T1^9*T2^5 - 77*T1^10*T2^5 + 143*T1^11*T2^5 - 
     20*T1^12*T2^5 - 21*T1^13*T2^5 + 12*T2^6 + 45*T1*T2^6 - 97*T1^2*T2^6 - 
     77*T1^3*T2^6 - 118*T1^4*T2^6 - 177*T1^5*T2^6 - 692*T1^6*T2^6 + 
     1120*T1^7*T2^6 - 692*T1^8*T2^6 - 177*T1^9*T2^6 - 118*T1^10*T2^6 - 
     77*T1^11*T2^6 - 97*T1^12*T2^6 + 45*T1^13*T2^6 + 12*T1^14*T2^6 - 5*T2^7 - 
     35*T1*T2^7 - 5*T1^2*T2^7 + 156*T1^3*T2^7 + 214*T1^4*T2^7 - 
     177*T1^5*T2^7 + 1120*T1^6*T2^7 - 580*T1^7*T2^7 - 580*T1^8*T2^7 + 
     1120*T1^9*T2^7 - 177*T1^10*T2^7 + 214*T1^11*T2^7 + 156*T1^12*T2^7 - 
     5*T1^13*T2^7 - 35*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 
     29*T1^2*T2^8 - 18*T1^3*T2^8 - 412*T1^4*T2^8 + 298*T1^5*T2^8 - 
     692*T1^6*T2^8 - 580*T1^7*T2^8 + 1224*T1^8*T2^8 - 580*T1^9*T2^8 - 
     692*T1^10*T2^8 + 298*T1^11*T2^8 - 412*T1^12*T2^8 - 18*T1^13*T2^8 + 
     29*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 35*T1^2*T2^9 - 
     5*T1^3*T2^9 + 156*T1^4*T2^9 + 214*T1^5*T2^9 - 177*T1^6*T2^9 + 
     1120*T1^7*T2^9 - 580*T1^8*T2^9 - 580*T1^9*T2^9 + 1120*T1^10*T2^9 - 
     177*T1^11*T2^9 + 214*T1^12*T2^9 + 156*T1^13*T2^9 - 5*T1^14*T2^9 - 
     35*T1^15*T2^9 - 5*T1^16*T2^9 + 12*T1^2*T2^10 + 45*T1^3*T2^10 - 
     97*T1^4*T2^10 - 77*T1^5*T2^10 - 118*T1^6*T2^10 - 177*T1^7*T2^10 - 
     692*T1^8*T2^10 + 1120*T1^9*T2^10 - 692*T1^10*T2^10 - 177*T1^11*T2^10 - 
     118*T1^12*T2^10 - 77*T1^13*T2^10 - 97*T1^14*T2^10 + 45*T1^15*T2^10 + 
     12*T1^16*T2^10 - 21*T1^3*T2^11 - 20*T1^4*T2^11 + 143*T1^5*T2^11 - 
     77*T1^6*T2^11 + 214*T1^7*T2^11 + 298*T1^8*T2^11 - 177*T1^9*T2^11 - 
     177*T1^10*T2^11 + 298*T1^11*T2^11 + 214*T1^12*T2^11 - 77*T1^13*T2^11 + 
     143*T1^14*T2^11 - 20*T1^15*T2^11 - 21*T1^16*T2^11 + 25*T1^4*T2^12 - 
     20*T1^5*T2^12 - 97*T1^6*T2^12 + 156*T1^7*T2^12 - 412*T1^8*T2^12 + 
     214*T1^9*T2^12 - 118*T1^10*T2^12 + 214*T1^11*T2^12 - 412*T1^12*T2^12 + 
     156*T1^13*T2^12 - 97*T1^14*T2^12 - 20*T1^15*T2^12 + 25*T1^16*T2^12 - 
     21*T1^5*T2^13 + 45*T1^6*T2^13 - 5*T1^7*T2^13 - 18*T1^8*T2^13 + 
     156*T1^9*T2^13 - 77*T1^10*T2^13 - 77*T1^11*T2^13 + 156*T1^12*T2^13 - 
     18*T1^13*T2^13 - 5*T1^14*T2^13 + 45*T1^15*T2^13 - 21*T1^16*T2^13 + 
     12*T1^6*T2^14 - 35*T1^7*T2^14 + 29*T1^8*T2^14 - 5*T1^9*T2^14 - 
     97*T1^10*T2^14 + 143*T1^11*T2^14 - 97*T1^12*T2^14 - 5*T1^13*T2^14 + 
     29*T1^14*T2^14 - 35*T1^15*T2^14 + 12*T1^16*T2^14 - 5*T1^7*T2^15 + 
     20*T1^8*T2^15 - 35*T1^9*T2^15 + 45*T1^10*T2^15 - 20*T1^11*T2^15 - 
     20*T1^12*T2^15 + 45*T1^13*T2^15 - 35*T1^14*T2^15 + 20*T1^15*T2^15 - 
     5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 12*T1^10*T2^16 - 
     21*T1^11*T2^16 + 25*T1^12*T2^16 - 21*T1^13*T2^16 + 12*T1^14*T2^16 - 
     5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 93] -> 
  {-(((1 - T + T^2)*(2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4))/T^3), 
   (1 - 5*T1 + 11*T1^2 - 15*T1^3 + 11*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 30*T1^2*T2 + 20*T1^3*T2 + 20*T1^4*T2 - 30*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 11*T2^2 - 30*T1*T2^2 + 5*T1^2*T2^2 + 
     45*T1^3*T2^2 - 115*T1^4*T2^2 + 45*T1^5*T2^2 + 5*T1^6*T2^2 - 
     30*T1^7*T2^2 + 11*T1^8*T2^2 - 15*T2^3 + 20*T1*T2^3 + 45*T1^2*T2^3 - 
     20*T1^3*T2^3 + 66*T1^4*T2^3 + 66*T1^5*T2^3 - 20*T1^6*T2^3 + 
     45*T1^7*T2^3 + 20*T1^8*T2^3 - 15*T1^9*T2^3 + 11*T2^4 + 20*T1*T2^4 - 
     115*T1^2*T2^4 + 66*T1^3*T2^4 - 452*T1^4*T2^4 + 452*T1^5*T2^4 - 
     452*T1^6*T2^4 + 66*T1^7*T2^4 - 115*T1^8*T2^4 + 20*T1^9*T2^4 + 
     11*T1^10*T2^4 - 5*T2^5 - 30*T1*T2^5 + 45*T1^2*T2^5 + 66*T1^3*T2^5 + 
     452*T1^4*T2^5 - 102*T1^5*T2^5 - 102*T1^6*T2^5 + 452*T1^7*T2^5 + 
     66*T1^8*T2^5 + 45*T1^9*T2^5 - 30*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 + 5*T1^2*T2^6 - 20*T1^3*T2^6 - 452*T1^4*T2^6 - 
     102*T1^5*T2^6 + 72*T1^6*T2^6 - 102*T1^7*T2^6 - 452*T1^8*T2^6 - 
     20*T1^9*T2^6 + 5*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     30*T1^2*T2^7 + 45*T1^3*T2^7 + 66*T1^4*T2^7 + 452*T1^5*T2^7 - 
     102*T1^6*T2^7 - 102*T1^7*T2^7 + 452*T1^8*T2^7 + 66*T1^9*T2^7 + 
     45*T1^10*T2^7 - 30*T1^11*T2^7 - 5*T1^12*T2^7 + 11*T1^2*T2^8 + 
     20*T1^3*T2^8 - 115*T1^4*T2^8 + 66*T1^5*T2^8 - 452*T1^6*T2^8 + 
     452*T1^7*T2^8 - 452*T1^8*T2^8 + 66*T1^9*T2^8 - 115*T1^10*T2^8 + 
     20*T1^11*T2^8 + 11*T1^12*T2^8 - 15*T1^3*T2^9 + 20*T1^4*T2^9 + 
     45*T1^5*T2^9 - 20*T1^6*T2^9 + 66*T1^7*T2^9 + 66*T1^8*T2^9 - 
     20*T1^9*T2^9 + 45*T1^10*T2^9 + 20*T1^11*T2^9 - 15*T1^12*T2^9 + 
     11*T1^4*T2^10 - 30*T1^5*T2^10 + 5*T1^6*T2^10 + 45*T1^7*T2^10 - 
     115*T1^8*T2^10 + 45*T1^9*T2^10 + 5*T1^10*T2^10 - 30*T1^11*T2^10 + 
     11*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 30*T1^7*T2^11 + 
     20*T1^8*T2^11 + 20*T1^9*T2^11 - 30*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 11*T1^8*T2^12 - 
     15*T1^9*T2^12 + 11*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 94] -> 
  {(4 - 13*T + 23*T^2 - 27*T^3 + 23*T^4 - 13*T^5 + 4*T^6)/T^3, 
   (208 - 660*T1 + 1152*T1^2 - 1344*T1^3 + 1152*T1^4 - 660*T1^5 + 208*T1^6 - 
     660*T2 + 1450*T1*T2 - 1590*T1^2*T2 + 626*T1^3*T2 + 626*T1^4*T2 - 
     1590*T1^5*T2 + 1450*T1^6*T2 - 660*T1^7*T2 + 1152*T2^2 - 1590*T1*T2^2 + 
     797*T1^2*T2^2 + 825*T1^3*T2^2 - 1245*T1^4*T2^2 + 825*T1^5*T2^2 + 
     797*T1^6*T2^2 - 1590*T1^7*T2^2 + 1152*T1^8*T2^2 - 1344*T2^3 + 
     626*T1*T2^3 + 825*T1^2*T2^3 - 1872*T1^3*T2^3 + 529*T1^4*T2^3 + 
     529*T1^5*T2^3 - 1872*T1^6*T2^3 + 825*T1^7*T2^3 + 626*T1^8*T2^3 - 
     1344*T1^9*T2^3 + 1152*T2^4 + 626*T1*T2^4 - 1245*T1^2*T2^4 + 
     529*T1^3*T2^4 + 2065*T1^4*T2^4 - 2123*T1^5*T2^4 + 2065*T1^6*T2^4 + 
     529*T1^7*T2^4 - 1245*T1^8*T2^4 + 626*T1^9*T2^4 + 1152*T1^10*T2^4 - 
     660*T2^5 - 1590*T1*T2^5 + 825*T1^2*T2^5 + 529*T1^3*T2^5 - 
     2123*T1^4*T2^5 + 256*T1^5*T2^5 + 256*T1^6*T2^5 - 2123*T1^7*T2^5 + 
     529*T1^8*T2^5 + 825*T1^9*T2^5 - 1590*T1^10*T2^5 - 660*T1^11*T2^5 + 
     208*T2^6 + 1450*T1*T2^6 + 797*T1^2*T2^6 - 1872*T1^3*T2^6 + 
     2065*T1^4*T2^6 + 256*T1^5*T2^6 + 264*T1^6*T2^6 + 256*T1^7*T2^6 + 
     2065*T1^8*T2^6 - 1872*T1^9*T2^6 + 797*T1^10*T2^6 + 1450*T1^11*T2^6 + 
     208*T1^12*T2^6 - 660*T1*T2^7 - 1590*T1^2*T2^7 + 825*T1^3*T2^7 + 
     529*T1^4*T2^7 - 2123*T1^5*T2^7 + 256*T1^6*T2^7 + 256*T1^7*T2^7 - 
     2123*T1^8*T2^7 + 529*T1^9*T2^7 + 825*T1^10*T2^7 - 1590*T1^11*T2^7 - 
     660*T1^12*T2^7 + 1152*T1^2*T2^8 + 626*T1^3*T2^8 - 1245*T1^4*T2^8 + 
     529*T1^5*T2^8 + 2065*T1^6*T2^8 - 2123*T1^7*T2^8 + 2065*T1^8*T2^8 + 
     529*T1^9*T2^8 - 1245*T1^10*T2^8 + 626*T1^11*T2^8 + 1152*T1^12*T2^8 - 
     1344*T1^3*T2^9 + 626*T1^4*T2^9 + 825*T1^5*T2^9 - 1872*T1^6*T2^9 + 
     529*T1^7*T2^9 + 529*T1^8*T2^9 - 1872*T1^9*T2^9 + 825*T1^10*T2^9 + 
     626*T1^11*T2^9 - 1344*T1^12*T2^9 + 1152*T1^4*T2^10 - 1590*T1^5*T2^10 + 
     797*T1^6*T2^10 + 825*T1^7*T2^10 - 1245*T1^8*T2^10 + 825*T1^9*T2^10 + 
     797*T1^10*T2^10 - 1590*T1^11*T2^10 + 1152*T1^12*T2^10 - 660*T1^5*T2^11 + 
     1450*T1^6*T2^11 - 1590*T1^7*T2^11 + 626*T1^8*T2^11 + 626*T1^9*T2^11 - 
     1590*T1^10*T2^11 + 1450*T1^11*T2^11 - 660*T1^12*T2^11 + 208*T1^6*T2^12 - 
     660*T1^7*T2^12 + 1152*T1^8*T2^12 - 1344*T1^9*T2^12 + 1152*T1^10*T2^12 - 
     660*T1^11*T2^12 + 208*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, Alternating, 95] -> {(6 - 18*T + 25*T^2 - 18*T^3 + 6*T^4)/T^2, 
   (531 - 1551*T1 + 2141*T1^2 - 1551*T1^3 + 531*T1^4 - 1551*T2 + 3000*T1*T2 - 
     1738*T1^2*T2 - 1738*T1^3*T2 + 3000*T1^4*T2 - 1551*T1^5*T2 + 2141*T2^2 - 
     1738*T1*T2^2 - 2645*T1^2*T2^2 + 6083*T1^3*T2^2 - 2645*T1^4*T2^2 - 
     1738*T1^5*T2^2 + 2141*T1^6*T2^2 - 1551*T2^3 - 1738*T1*T2^3 + 
     6083*T1^2*T2^3 - 4184*T1^3*T2^3 - 4184*T1^4*T2^3 + 6083*T1^5*T2^3 - 
     1738*T1^6*T2^3 - 1551*T1^7*T2^3 + 531*T2^4 + 3000*T1*T2^4 - 
     2645*T1^2*T2^4 - 4184*T1^3*T2^4 + 9912*T1^4*T2^4 - 4184*T1^5*T2^4 - 
     2645*T1^6*T2^4 + 3000*T1^7*T2^4 + 531*T1^8*T2^4 - 1551*T1*T2^5 - 
     1738*T1^2*T2^5 + 6083*T1^3*T2^5 - 4184*T1^4*T2^5 - 4184*T1^5*T2^5 + 
     6083*T1^6*T2^5 - 1738*T1^7*T2^5 - 1551*T1^8*T2^5 + 2141*T1^2*T2^6 - 
     1738*T1^3*T2^6 - 2645*T1^4*T2^6 + 6083*T1^5*T2^6 - 2645*T1^6*T2^6 - 
     1738*T1^7*T2^6 + 2141*T1^8*T2^6 - 1551*T1^3*T2^7 + 3000*T1^4*T2^7 - 
     1738*T1^5*T2^7 - 1738*T1^6*T2^7 + 3000*T1^7*T2^7 - 1551*T1^8*T2^7 + 
     531*T1^4*T2^8 - 1551*T1^5*T2^8 + 2141*T1^6*T2^8 - 1551*T1^7*T2^8 + 
     531*T1^8*T2^8)/(T1^4*T2^4)}, Knot[11, Alternating, 96] -> 
  {-(((-1 + 4*T - 5*T^2 + T^3)*(-1 + 5*T - 4*T^2 + T^3))/T^3), 
   -((1 - 11*T1 + 23*T1^2 - 11*T1^3 + T1^4 - 11*T2 + 76*T1*T2 - 84*T1^2*T2 - 
      84*T1^3*T2 + 76*T1^4*T2 - 11*T1^5*T2 + 23*T2^2 - 84*T1*T2^2 - 
      260*T1^2*T2^2 + 826*T1^3*T2^2 - 260*T1^4*T2^2 - 84*T1^5*T2^2 + 
      23*T1^6*T2^2 - 11*T2^3 - 84*T1*T2^3 + 826*T1^2*T2^3 - 954*T1^3*T2^3 - 
      954*T1^4*T2^3 + 826*T1^5*T2^3 - 84*T1^6*T2^3 - 11*T1^7*T2^3 + T2^4 + 
      76*T1*T2^4 - 260*T1^2*T2^4 - 954*T1^3*T2^4 + 2868*T1^4*T2^4 - 
      954*T1^5*T2^4 - 260*T1^6*T2^4 + 76*T1^7*T2^4 + T1^8*T2^4 - 11*T1*T2^5 - 
      84*T1^2*T2^5 + 826*T1^3*T2^5 - 954*T1^4*T2^5 - 954*T1^5*T2^5 + 
      826*T1^6*T2^5 - 84*T1^7*T2^5 - 11*T1^8*T2^5 + 23*T1^2*T2^6 - 
      84*T1^3*T2^6 - 260*T1^4*T2^6 + 826*T1^5*T2^6 - 260*T1^6*T2^6 - 
      84*T1^7*T2^6 + 23*T1^8*T2^6 - 11*T1^3*T2^7 + 76*T1^4*T2^7 - 
      84*T1^5*T2^7 - 84*T1^6*T2^7 + 76*T1^7*T2^7 - 11*T1^8*T2^7 + T1^4*T2^8 - 
      11*T1^5*T2^8 + 23*T1^6*T2^8 - 11*T1^7*T2^8 + T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[11, Alternating, 97] -> 
  {(2 - 9*T + 16*T^2 - 17*T^3 + 16*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (7 - 31*T1 + 54*T1^2 - 57*T1^3 + 54*T1^4 - 31*T1^5 + 7*T1^6 - 31*T2 + 
     106*T1*T2 - 101*T1^2*T2 + 13*T1^3*T2 + 13*T1^4*T2 - 101*T1^5*T2 + 
     106*T1^6*T2 - 31*T1^7*T2 + 54*T2^2 - 101*T1*T2^2 - 141*T1^2*T2^2 + 
     398*T1^3*T2^2 - 331*T1^4*T2^2 + 398*T1^5*T2^2 - 141*T1^6*T2^2 - 
     101*T1^7*T2^2 + 54*T1^8*T2^2 - 57*T2^3 + 13*T1*T2^3 + 398*T1^2*T2^3 - 
     466*T1^3*T2^3 + 31*T1^4*T2^3 + 31*T1^5*T2^3 - 466*T1^6*T2^3 + 
     398*T1^7*T2^3 + 13*T1^8*T2^3 - 57*T1^9*T2^3 + 54*T2^4 + 13*T1*T2^4 - 
     331*T1^2*T2^4 + 31*T1^3*T2^4 + 615*T1^4*T2^4 - 595*T1^5*T2^4 + 
     615*T1^6*T2^4 + 31*T1^7*T2^4 - 331*T1^8*T2^4 + 13*T1^9*T2^4 + 
     54*T1^10*T2^4 - 31*T2^5 - 101*T1*T2^5 + 398*T1^2*T2^5 + 31*T1^3*T2^5 - 
     595*T1^4*T2^5 + 250*T1^5*T2^5 + 250*T1^6*T2^5 - 595*T1^7*T2^5 + 
     31*T1^8*T2^5 + 398*T1^9*T2^5 - 101*T1^10*T2^5 - 31*T1^11*T2^5 + 7*T2^6 + 
     106*T1*T2^6 - 141*T1^2*T2^6 - 466*T1^3*T2^6 + 615*T1^4*T2^6 + 
     250*T1^5*T2^6 - 696*T1^6*T2^6 + 250*T1^7*T2^6 + 615*T1^8*T2^6 - 
     466*T1^9*T2^6 - 141*T1^10*T2^6 + 106*T1^11*T2^6 + 7*T1^12*T2^6 - 
     31*T1*T2^7 - 101*T1^2*T2^7 + 398*T1^3*T2^7 + 31*T1^4*T2^7 - 
     595*T1^5*T2^7 + 250*T1^6*T2^7 + 250*T1^7*T2^7 - 595*T1^8*T2^7 + 
     31*T1^9*T2^7 + 398*T1^10*T2^7 - 101*T1^11*T2^7 - 31*T1^12*T2^7 + 
     54*T1^2*T2^8 + 13*T1^3*T2^8 - 331*T1^4*T2^8 + 31*T1^5*T2^8 + 
     615*T1^6*T2^8 - 595*T1^7*T2^8 + 615*T1^8*T2^8 + 31*T1^9*T2^8 - 
     331*T1^10*T2^8 + 13*T1^11*T2^8 + 54*T1^12*T2^8 - 57*T1^3*T2^9 + 
     13*T1^4*T2^9 + 398*T1^5*T2^9 - 466*T1^6*T2^9 + 31*T1^7*T2^9 + 
     31*T1^8*T2^9 - 466*T1^9*T2^9 + 398*T1^10*T2^9 + 13*T1^11*T2^9 - 
     57*T1^12*T2^9 + 54*T1^4*T2^10 - 101*T1^5*T2^10 - 141*T1^6*T2^10 + 
     398*T1^7*T2^10 - 331*T1^8*T2^10 + 398*T1^9*T2^10 - 141*T1^10*T2^10 - 
     101*T1^11*T2^10 + 54*T1^12*T2^10 - 31*T1^5*T2^11 + 106*T1^6*T2^11 - 
     101*T1^7*T2^11 + 13*T1^8*T2^11 + 13*T1^9*T2^11 - 101*T1^10*T2^11 + 
     106*T1^11*T2^11 - 31*T1^12*T2^11 + 7*T1^6*T2^12 - 31*T1^7*T2^12 + 
     54*T1^8*T2^12 - 57*T1^9*T2^12 + 54*T1^10*T2^12 - 31*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, Alternating, 98] -> 
  {(4 - 19*T + 31*T^2 - 19*T^3 + 4*T^4)/T^2, 
   (4*T1 - 8*T1^2 + 4*T1^3 + 4*T2 - 34*T1*T2 + 32*T1^2*T2 + 32*T1^3*T2 - 
     34*T1^4*T2 + 4*T1^5*T2 - 8*T2^2 + 32*T1*T2^2 + 185*T1^2*T2^2 - 
     463*T1^3*T2^2 + 185*T1^4*T2^2 + 32*T1^5*T2^2 - 8*T1^6*T2^2 + 4*T2^3 + 
     32*T1*T2^3 - 463*T1^2*T2^3 + 502*T1^3*T2^3 + 502*T1^4*T2^3 - 
     463*T1^5*T2^3 + 32*T1^6*T2^3 + 4*T1^7*T2^3 - 34*T1*T2^4 + 
     185*T1^2*T2^4 + 502*T1^3*T2^4 - 1524*T1^4*T2^4 + 502*T1^5*T2^4 + 
     185*T1^6*T2^4 - 34*T1^7*T2^4 + 4*T1*T2^5 + 32*T1^2*T2^5 - 
     463*T1^3*T2^5 + 502*T1^4*T2^5 + 502*T1^5*T2^5 - 463*T1^6*T2^5 + 
     32*T1^7*T2^5 + 4*T1^8*T2^5 - 8*T1^2*T2^6 + 32*T1^3*T2^6 + 
     185*T1^4*T2^6 - 463*T1^5*T2^6 + 185*T1^6*T2^6 + 32*T1^7*T2^6 - 
     8*T1^8*T2^6 + 4*T1^3*T2^7 - 34*T1^4*T2^7 + 32*T1^5*T2^7 + 32*T1^6*T2^7 - 
     34*T1^7*T2^7 + 4*T1^8*T2^7 + 4*T1^5*T2^8 - 8*T1^6*T2^8 + 4*T1^7*T2^8)/
    (T1^4*T2^4)}, 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), -((1 - 6*T1 + 17*T1^2 - 28*T1^3 + 31*T1^4 - 28*T1^5 + 17*T1^6 - 
      6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 66*T1^2*T2 + 66*T1^3*T2 - 
      18*T1^4*T2 - 18*T1^5*T2 + 66*T1^6*T2 - 66*T1^7*T2 + 30*T1^8*T2 - 
      6*T1^9*T2 + 17*T2^2 - 66*T1*T2^2 + 88*T1^2*T2^2 + 44*T1^3*T2^2 - 
      218*T1^4*T2^2 + 204*T1^5*T2^2 - 218*T1^6*T2^2 + 44*T1^7*T2^2 + 
      88*T1^8*T2^2 - 66*T1^9*T2^2 + 17*T1^10*T2^2 - 28*T2^3 + 66*T1*T2^3 + 
      44*T1^2*T2^3 - 402*T1^3*T2^3 + 489*T1^4*T2^3 - 58*T1^5*T2^3 - 
      58*T1^6*T2^3 + 489*T1^7*T2^3 - 402*T1^8*T2^3 + 44*T1^9*T2^3 + 
      66*T1^10*T2^3 - 28*T1^11*T2^3 + 31*T2^4 - 18*T1*T2^4 - 218*T1^2*T2^4 + 
      489*T1^3*T2^4 + 108*T1^4*T2^4 - 1071*T1^5*T2^4 + 848*T1^6*T2^4 - 
      1071*T1^7*T2^4 + 108*T1^8*T2^4 + 489*T1^9*T2^4 - 218*T1^10*T2^4 - 
      18*T1^11*T2^4 + 31*T1^12*T2^4 - 28*T2^5 - 18*T1*T2^5 + 204*T1^2*T2^5 - 
      58*T1^3*T2^5 - 1071*T1^4*T2^5 + 1504*T1^5*T2^5 - 104*T1^6*T2^5 - 
      104*T1^7*T2^5 + 1504*T1^8*T2^5 - 1071*T1^9*T2^5 - 58*T1^10*T2^5 + 
      204*T1^11*T2^5 - 18*T1^12*T2^5 - 28*T1^13*T2^5 + 17*T2^6 + 66*T1*T2^6 - 
      218*T1^2*T2^6 - 58*T1^3*T2^6 + 848*T1^4*T2^6 - 104*T1^5*T2^6 - 
      1830*T1^6*T2^6 + 1432*T1^7*T2^6 - 1830*T1^8*T2^6 - 104*T1^9*T2^6 + 
      848*T1^10*T2^6 - 58*T1^11*T2^6 - 218*T1^12*T2^6 + 66*T1^13*T2^6 + 
      17*T1^14*T2^6 - 6*T2^7 - 66*T1*T2^7 + 44*T1^2*T2^7 + 489*T1^3*T2^7 - 
      1071*T1^4*T2^7 - 104*T1^5*T2^7 + 1432*T1^6*T2^7 - 94*T1^7*T2^7 - 
      94*T1^8*T2^7 + 1432*T1^9*T2^7 - 104*T1^10*T2^7 - 1071*T1^11*T2^7 + 
      489*T1^12*T2^7 + 44*T1^13*T2^7 - 66*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 
      30*T1*T2^8 + 88*T1^2*T2^8 - 402*T1^3*T2^8 + 108*T1^4*T2^8 + 
      1504*T1^5*T2^8 - 1830*T1^6*T2^8 - 94*T1^7*T2^8 - 84*T1^8*T2^8 - 
      94*T1^9*T2^8 - 1830*T1^10*T2^8 + 1504*T1^11*T2^8 + 108*T1^12*T2^8 - 
      402*T1^13*T2^8 + 88*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 
      6*T1*T2^9 - 66*T1^2*T2^9 + 44*T1^3*T2^9 + 489*T1^4*T2^9 - 
      1071*T1^5*T2^9 - 104*T1^6*T2^9 + 1432*T1^7*T2^9 - 94*T1^8*T2^9 - 
      94*T1^9*T2^9 + 1432*T1^10*T2^9 - 104*T1^11*T2^9 - 1071*T1^12*T2^9 + 
      489*T1^13*T2^9 + 44*T1^14*T2^9 - 66*T1^15*T2^9 - 6*T1^16*T2^9 + 
      17*T1^2*T2^10 + 66*T1^3*T2^10 - 218*T1^4*T2^10 - 58*T1^5*T2^10 + 
      848*T1^6*T2^10 - 104*T1^7*T2^10 - 1830*T1^8*T2^10 + 1432*T1^9*T2^10 - 
      1830*T1^10*T2^10 - 104*T1^11*T2^10 + 848*T1^12*T2^10 - 58*T1^13*T2^10 - 
      218*T1^14*T2^10 + 66*T1^15*T2^10 + 17*T1^16*T2^10 - 28*T1^3*T2^11 - 
      18*T1^4*T2^11 + 204*T1^5*T2^11 - 58*T1^6*T2^11 - 1071*T1^7*T2^11 + 
      1504*T1^8*T2^11 - 104*T1^9*T2^11 - 104*T1^10*T2^11 + 1504*T1^11*T2^11 - 
      1071*T1^12*T2^11 - 58*T1^13*T2^11 + 204*T1^14*T2^11 - 18*T1^15*T2^11 - 
      28*T1^16*T2^11 + 31*T1^4*T2^12 - 18*T1^5*T2^12 - 218*T1^6*T2^12 + 
      489*T1^7*T2^12 + 108*T1^8*T2^12 - 1071*T1^9*T2^12 + 848*T1^10*T2^12 - 
      1071*T1^11*T2^12 + 108*T1^12*T2^12 + 489*T1^13*T2^12 - 
      218*T1^14*T2^12 - 18*T1^15*T2^12 + 31*T1^16*T2^12 - 28*T1^5*T2^13 + 
      66*T1^6*T2^13 + 44*T1^7*T2^13 - 402*T1^8*T2^13 + 489*T1^9*T2^13 - 
      58*T1^10*T2^13 - 58*T1^11*T2^13 + 489*T1^12*T2^13 - 402*T1^13*T2^13 + 
      44*T1^14*T2^13 + 66*T1^15*T2^13 - 28*T1^16*T2^13 + 17*T1^6*T2^14 - 
      66*T1^7*T2^14 + 88*T1^8*T2^14 + 44*T1^9*T2^14 - 218*T1^10*T2^14 + 
      204*T1^11*T2^14 - 218*T1^12*T2^14 + 44*T1^13*T2^14 + 88*T1^14*T2^14 - 
      66*T1^15*T2^14 + 17*T1^16*T2^14 - 6*T1^7*T2^15 + 30*T1^8*T2^15 - 
      66*T1^9*T2^15 + 66*T1^10*T2^15 - 18*T1^11*T2^15 - 18*T1^12*T2^15 + 
      66*T1^13*T2^15 - 66*T1^14*T2^15 + 30*T1^15*T2^15 - 6*T1^16*T2^15 + 
      T1^8*T2^16 - 6*T1^9*T2^16 + 17*T1^10*T2^16 - 28*T1^11*T2^16 + 
      31*T1^12*T2^16 - 28*T1^13*T2^16 + 17*T1^14*T2^16 - 6*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, Knot[11, Alternating, 100] -> 
  {-(((1 - T + T^2)*(3 - 12*T + 17*T^2 - 12*T^3 + 3*T^4))/T^3), 
   -((57 - 279*T1 + 586*T1^2 - 749*T1^3 + 586*T1^4 - 279*T1^5 + 57*T1^6 - 
      279*T2 + 1092*T1*T2 - 1517*T1^2*T2 + 805*T1^3*T2 + 805*T1^4*T2 - 
      1517*T1^5*T2 + 1092*T1^6*T2 - 279*T1^7*T2 + 586*T2^2 - 1517*T1*T2^2 - 
      85*T1^2*T2^2 + 3648*T1^3*T2^2 - 6149*T1^4*T2^2 + 3648*T1^5*T2^2 - 
      85*T1^6*T2^2 - 1517*T1^7*T2^2 + 586*T1^8*T2^2 - 749*T2^3 + 
      805*T1*T2^3 + 3648*T1^2*T2^3 - 6946*T1^3*T2^3 + 4450*T1^4*T2^3 + 
      4450*T1^5*T2^3 - 6946*T1^6*T2^3 + 3648*T1^7*T2^3 + 805*T1^8*T2^3 - 
      749*T1^9*T2^3 + 586*T2^4 + 805*T1*T2^4 - 6149*T1^2*T2^4 + 
      4450*T1^3*T2^4 + 3701*T1^4*T2^4 - 11451*T1^5*T2^4 + 3701*T1^6*T2^4 + 
      4450*T1^7*T2^4 - 6149*T1^8*T2^4 + 805*T1^9*T2^4 + 586*T1^10*T2^4 - 
      279*T2^5 - 1517*T1*T2^5 + 3648*T1^2*T2^5 + 4450*T1^3*T2^5 - 
      11451*T1^4*T2^5 + 8540*T1^5*T2^5 + 8540*T1^6*T2^5 - 11451*T1^7*T2^5 + 
      4450*T1^8*T2^5 + 3648*T1^9*T2^5 - 1517*T1^10*T2^5 - 279*T1^11*T2^5 + 
      57*T2^6 + 1092*T1*T2^6 - 85*T1^2*T2^6 - 6946*T1^3*T2^6 + 
      3701*T1^4*T2^6 + 8540*T1^5*T2^6 - 20376*T1^6*T2^6 + 8540*T1^7*T2^6 + 
      3701*T1^8*T2^6 - 6946*T1^9*T2^6 - 85*T1^10*T2^6 + 1092*T1^11*T2^6 + 
      57*T1^12*T2^6 - 279*T1*T2^7 - 1517*T1^2*T2^7 + 3648*T1^3*T2^7 + 
      4450*T1^4*T2^7 - 11451*T1^5*T2^7 + 8540*T1^6*T2^7 + 8540*T1^7*T2^7 - 
      11451*T1^8*T2^7 + 4450*T1^9*T2^7 + 3648*T1^10*T2^7 - 1517*T1^11*T2^7 - 
      279*T1^12*T2^7 + 586*T1^2*T2^8 + 805*T1^3*T2^8 - 6149*T1^4*T2^8 + 
      4450*T1^5*T2^8 + 3701*T1^6*T2^8 - 11451*T1^7*T2^8 + 3701*T1^8*T2^8 + 
      4450*T1^9*T2^8 - 6149*T1^10*T2^8 + 805*T1^11*T2^8 + 586*T1^12*T2^8 - 
      749*T1^3*T2^9 + 805*T1^4*T2^9 + 3648*T1^5*T2^9 - 6946*T1^6*T2^9 + 
      4450*T1^7*T2^9 + 4450*T1^8*T2^9 - 6946*T1^9*T2^9 + 3648*T1^10*T2^9 + 
      805*T1^11*T2^9 - 749*T1^12*T2^9 + 586*T1^4*T2^10 - 1517*T1^5*T2^10 - 
      85*T1^6*T2^10 + 3648*T1^7*T2^10 - 6149*T1^8*T2^10 + 3648*T1^9*T2^10 - 
      85*T1^10*T2^10 - 1517*T1^11*T2^10 + 586*T1^12*T2^10 - 279*T1^5*T2^11 + 
      1092*T1^6*T2^11 - 1517*T1^7*T2^11 + 805*T1^8*T2^11 + 805*T1^9*T2^11 - 
      1517*T1^10*T2^11 + 1092*T1^11*T2^11 - 279*T1^12*T2^11 + 57*T1^6*T2^12 - 
      279*T1^7*T2^12 + 586*T1^8*T2^12 - 749*T1^9*T2^12 + 586*T1^10*T2^12 - 
      279*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, Alternating, 101] -> 
  {(3 - 16*T + 39*T^2 - 51*T^3 + 39*T^4 - 16*T^5 + 3*T^6)/T^3, 
   (30 - 158*T1 + 384*T1^2 - 500*T1^3 + 384*T1^4 - 158*T1^5 + 30*T1^6 - 
     158*T2 + 676*T1*T2 - 1195*T1^2*T2 + 615*T1^3*T2 + 615*T1^4*T2 - 
     1195*T1^5*T2 + 676*T1^6*T2 - 158*T1^7*T2 + 384*T2^2 - 1195*T1*T2^2 + 
     903*T1^2*T2^2 + 2321*T1^3*T2^2 - 4207*T1^4*T2^2 + 2321*T1^5*T2^2 + 
     903*T1^6*T2^2 - 1195*T1^7*T2^2 + 384*T1^8*T2^2 - 500*T2^3 + 
     615*T1*T2^3 + 2321*T1^2*T2^3 - 7684*T1^3*T2^3 + 4289*T1^4*T2^3 + 
     4289*T1^5*T2^3 - 7684*T1^6*T2^3 + 2321*T1^7*T2^3 + 615*T1^8*T2^3 - 
     500*T1^9*T2^3 + 384*T2^4 + 615*T1*T2^4 - 4207*T1^2*T2^4 + 
     4289*T1^3*T2^4 + 10735*T1^4*T2^4 - 19547*T1^5*T2^4 + 10735*T1^6*T2^4 + 
     4289*T1^7*T2^4 - 4207*T1^8*T2^4 + 615*T1^9*T2^4 + 384*T1^10*T2^4 - 
     158*T2^5 - 1195*T1*T2^5 + 2321*T1^2*T2^5 + 4289*T1^3*T2^5 - 
     19547*T1^4*T2^5 + 11136*T1^5*T2^5 + 11136*T1^6*T2^5 - 19547*T1^7*T2^5 + 
     4289*T1^8*T2^5 + 2321*T1^9*T2^5 - 1195*T1^10*T2^5 - 158*T1^11*T2^5 + 
     30*T2^6 + 676*T1*T2^6 + 903*T1^2*T2^6 - 7684*T1^3*T2^6 + 
     10735*T1^4*T2^6 + 11136*T1^5*T2^6 - 24324*T1^6*T2^6 + 11136*T1^7*T2^6 + 
     10735*T1^8*T2^6 - 7684*T1^9*T2^6 + 903*T1^10*T2^6 + 676*T1^11*T2^6 + 
     30*T1^12*T2^6 - 158*T1*T2^7 - 1195*T1^2*T2^7 + 2321*T1^3*T2^7 + 
     4289*T1^4*T2^7 - 19547*T1^5*T2^7 + 11136*T1^6*T2^7 + 11136*T1^7*T2^7 - 
     19547*T1^8*T2^7 + 4289*T1^9*T2^7 + 2321*T1^10*T2^7 - 1195*T1^11*T2^7 - 
     158*T1^12*T2^7 + 384*T1^2*T2^8 + 615*T1^3*T2^8 - 4207*T1^4*T2^8 + 
     4289*T1^5*T2^8 + 10735*T1^6*T2^8 - 19547*T1^7*T2^8 + 10735*T1^8*T2^8 + 
     4289*T1^9*T2^8 - 4207*T1^10*T2^8 + 615*T1^11*T2^8 + 384*T1^12*T2^8 - 
     500*T1^3*T2^9 + 615*T1^4*T2^9 + 2321*T1^5*T2^9 - 7684*T1^6*T2^9 + 
     4289*T1^7*T2^9 + 4289*T1^8*T2^9 - 7684*T1^9*T2^9 + 2321*T1^10*T2^9 + 
     615*T1^11*T2^9 - 500*T1^12*T2^9 + 384*T1^4*T2^10 - 1195*T1^5*T2^10 + 
     903*T1^6*T2^10 + 2321*T1^7*T2^10 - 4207*T1^8*T2^10 + 2321*T1^9*T2^10 + 
     903*T1^10*T2^10 - 1195*T1^11*T2^10 + 384*T1^12*T2^10 - 158*T1^5*T2^11 + 
     676*T1^6*T2^11 - 1195*T1^7*T2^11 + 615*T1^8*T2^11 + 615*T1^9*T2^11 - 
     1195*T1^10*T2^11 + 676*T1^11*T2^11 - 158*T1^12*T2^11 + 30*T1^6*T2^12 - 
     158*T1^7*T2^12 + 384*T1^8*T2^12 - 500*T1^9*T2^12 + 384*T1^10*T2^12 - 
     158*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, Alternating, 102] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^3, 
   (9 - 49*T1 + 102*T1^2 - 119*T1^3 + 102*T1^4 - 49*T1^5 + 9*T1^6 - 49*T2 + 
     218*T1*T2 - 289*T1^2*T2 + 93*T1^3*T2 + 93*T1^4*T2 - 289*T1^5*T2 + 
     218*T1^6*T2 - 49*T1^7*T2 + 102*T2^2 - 289*T1*T2^2 - 190*T1^2*T2^2 + 
     1122*T1^3*T2^2 - 1244*T1^4*T2^2 + 1122*T1^5*T2^2 - 190*T1^6*T2^2 - 
     289*T1^7*T2^2 + 102*T1^8*T2^2 - 119*T2^3 + 93*T1*T2^3 + 1122*T1^2*T2^3 - 
     1914*T1^3*T2^3 + 498*T1^4*T2^3 + 498*T1^5*T2^3 - 1914*T1^6*T2^3 + 
     1122*T1^7*T2^3 + 93*T1^8*T2^3 - 119*T1^9*T2^3 + 102*T2^4 + 93*T1*T2^4 - 
     1244*T1^2*T2^4 + 498*T1^3*T2^4 + 2557*T1^4*T2^4 - 2909*T1^5*T2^4 + 
     2557*T1^6*T2^4 + 498*T1^7*T2^4 - 1244*T1^8*T2^4 + 93*T1^9*T2^4 + 
     102*T1^10*T2^4 - 49*T2^5 - 289*T1*T2^5 + 1122*T1^2*T2^5 + 
     498*T1^3*T2^5 - 2909*T1^4*T2^5 + 918*T1^5*T2^5 + 918*T1^6*T2^5 - 
     2909*T1^7*T2^5 + 498*T1^8*T2^5 + 1122*T1^9*T2^5 - 289*T1^10*T2^5 - 
     49*T1^11*T2^5 + 9*T2^6 + 218*T1*T2^6 - 190*T1^2*T2^6 - 1914*T1^3*T2^6 + 
     2557*T1^4*T2^6 + 918*T1^5*T2^6 - 1680*T1^6*T2^6 + 918*T1^7*T2^6 + 
     2557*T1^8*T2^6 - 1914*T1^9*T2^6 - 190*T1^10*T2^6 + 218*T1^11*T2^6 + 
     9*T1^12*T2^6 - 49*T1*T2^7 - 289*T1^2*T2^7 + 1122*T1^3*T2^7 + 
     498*T1^4*T2^7 - 2909*T1^5*T2^7 + 918*T1^6*T2^7 + 918*T1^7*T2^7 - 
     2909*T1^8*T2^7 + 498*T1^9*T2^7 + 1122*T1^10*T2^7 - 289*T1^11*T2^7 - 
     49*T1^12*T2^7 + 102*T1^2*T2^8 + 93*T1^3*T2^8 - 1244*T1^4*T2^8 + 
     498*T1^5*T2^8 + 2557*T1^6*T2^8 - 2909*T1^7*T2^8 + 2557*T1^8*T2^8 + 
     498*T1^9*T2^8 - 1244*T1^10*T2^8 + 93*T1^11*T2^8 + 102*T1^12*T2^8 - 
     119*T1^3*T2^9 + 93*T1^4*T2^9 + 1122*T1^5*T2^9 - 1914*T1^6*T2^9 + 
     498*T1^7*T2^9 + 498*T1^8*T2^9 - 1914*T1^9*T2^9 + 1122*T1^10*T2^9 + 
     93*T1^11*T2^9 - 119*T1^12*T2^9 + 102*T1^4*T2^10 - 289*T1^5*T2^10 - 
     190*T1^6*T2^10 + 1122*T1^7*T2^10 - 1244*T1^8*T2^10 + 1122*T1^9*T2^10 - 
     190*T1^10*T2^10 - 289*T1^11*T2^10 + 102*T1^12*T2^10 - 49*T1^5*T2^11 + 
     218*T1^6*T2^11 - 289*T1^7*T2^11 + 93*T1^8*T2^11 + 93*T1^9*T2^11 - 
     289*T1^10*T2^11 + 218*T1^11*T2^11 - 49*T1^12*T2^11 + 9*T1^6*T2^12 - 
     49*T1^7*T2^12 + 102*T1^8*T2^12 - 119*T1^9*T2^12 + 102*T1^10*T2^12 - 
     49*T1^11*T2^12 + 9*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, Alternating, 103] -> {((-2 + T)^2*(-1 + 2*T)^2)/T^2, 
   (2*(8 - 42*T1 + 72*T1^2 - 42*T1^3 + 8*T1^4 - 42*T2 + 180*T1*T2 - 
      159*T1^2*T2 - 159*T1^3*T2 + 180*T1^4*T2 - 42*T1^5*T2 + 72*T2^2 - 
      159*T1*T2^2 - 440*T1^2*T2^2 + 1230*T1^3*T2^2 - 440*T1^4*T2^2 - 
      159*T1^5*T2^2 + 72*T1^6*T2^2 - 42*T2^3 - 159*T1*T2^3 + 1230*T1^2*T2^3 - 
      1224*T1^3*T2^3 - 1224*T1^4*T2^3 + 1230*T1^5*T2^3 - 159*T1^6*T2^3 - 
      42*T1^7*T2^3 + 8*T2^4 + 180*T1*T2^4 - 440*T1^2*T2^4 - 1224*T1^3*T2^4 + 
      3456*T1^4*T2^4 - 1224*T1^5*T2^4 - 440*T1^6*T2^4 + 180*T1^7*T2^4 + 
      8*T1^8*T2^4 - 42*T1*T2^5 - 159*T1^2*T2^5 + 1230*T1^3*T2^5 - 
      1224*T1^4*T2^5 - 1224*T1^5*T2^5 + 1230*T1^6*T2^5 - 159*T1^7*T2^5 - 
      42*T1^8*T2^5 + 72*T1^2*T2^6 - 159*T1^3*T2^6 - 440*T1^4*T2^6 + 
      1230*T1^5*T2^6 - 440*T1^6*T2^6 - 159*T1^7*T2^6 + 72*T1^8*T2^6 - 
      42*T1^3*T2^7 + 180*T1^4*T2^7 - 159*T1^5*T2^7 - 159*T1^6*T2^7 + 
      180*T1^7*T2^7 - 42*T1^8*T2^7 + 8*T1^4*T2^8 - 42*T1^5*T2^8 + 
      72*T1^6*T2^8 - 42*T1^7*T2^8 + 8*T1^8*T2^8))/(T1^4*T2^4)}, 
 Knot[11, Alternating, 104] -> 
  {-(((1 - 3*T + T^2)*(2 - 2*T + T^2)*(1 - 2*T + 2*T^2))/T^3), 
   -((1 - 5*T1 + 11*T1^2 - 15*T1^3 + 11*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
      20*T1*T2 - 30*T1^2*T2 + 20*T1^3*T2 + 20*T1^4*T2 - 30*T1^5*T2 + 
      20*T1^6*T2 - 5*T1^7*T2 + 11*T2^2 - 30*T1*T2^2 + 8*T1^2*T2^2 + 
      52*T1^3*T2^2 - 132*T1^4*T2^2 + 52*T1^5*T2^2 + 8*T1^6*T2^2 - 
      30*T1^7*T2^2 + 11*T1^8*T2^2 - 15*T2^3 + 20*T1*T2^3 + 52*T1^2*T2^3 - 
      116*T1^3*T2^3 + 140*T1^4*T2^3 + 140*T1^5*T2^3 - 116*T1^6*T2^3 + 
      52*T1^7*T2^3 + 20*T1^8*T2^3 - 15*T1^9*T2^3 + 11*T2^4 + 20*T1*T2^4 - 
      132*T1^2*T2^4 + 140*T1^3*T2^4 - 68*T1^4*T2^4 - 304*T1^5*T2^4 - 
      68*T1^6*T2^4 + 140*T1^7*T2^4 - 132*T1^8*T2^4 + 20*T1^9*T2^4 + 
      11*T1^10*T2^4 - 5*T2^5 - 30*T1*T2^5 + 52*T1^2*T2^5 + 140*T1^3*T2^5 - 
      304*T1^4*T2^5 + 436*T1^5*T2^5 + 436*T1^6*T2^5 - 304*T1^7*T2^5 + 
      140*T1^8*T2^5 + 52*T1^9*T2^5 - 30*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
      20*T1*T2^6 + 8*T1^2*T2^6 - 116*T1^3*T2^6 - 68*T1^4*T2^6 + 
      436*T1^5*T2^6 - 1236*T1^6*T2^6 + 436*T1^7*T2^6 - 68*T1^8*T2^6 - 
      116*T1^9*T2^6 + 8*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
      30*T1^2*T2^7 + 52*T1^3*T2^7 + 140*T1^4*T2^7 - 304*T1^5*T2^7 + 
      436*T1^6*T2^7 + 436*T1^7*T2^7 - 304*T1^8*T2^7 + 140*T1^9*T2^7 + 
      52*T1^10*T2^7 - 30*T1^11*T2^7 - 5*T1^12*T2^7 + 11*T1^2*T2^8 + 
      20*T1^3*T2^8 - 132*T1^4*T2^8 + 140*T1^5*T2^8 - 68*T1^6*T2^8 - 
      304*T1^7*T2^8 - 68*T1^8*T2^8 + 140*T1^9*T2^8 - 132*T1^10*T2^8 + 
      20*T1^11*T2^8 + 11*T1^12*T2^8 - 15*T1^3*T2^9 + 20*T1^4*T2^9 + 
      52*T1^5*T2^9 - 116*T1^6*T2^9 + 140*T1^7*T2^9 + 140*T1^8*T2^9 - 
      116*T1^9*T2^9 + 52*T1^10*T2^9 + 20*T1^11*T2^9 - 15*T1^12*T2^9 + 
      11*T1^4*T2^10 - 30*T1^5*T2^10 + 8*T1^6*T2^10 + 52*T1^7*T2^10 - 
      132*T1^8*T2^10 + 52*T1^9*T2^10 + 8*T1^10*T2^10 - 30*T1^11*T2^10 + 
      11*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 30*T1^7*T2^11 + 
      20*T1^8*T2^11 + 20*T1^9*T2^11 - 30*T1^10*T2^11 + 20*T1^11*T2^11 - 
      5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 11*T1^8*T2^12 - 
      15*T1^9*T2^12 + 11*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[11, Alternating, 105] -> 
  {-((3 - 13*T + 24*T^2 - 29*T^3 + 24*T^4 - 13*T^5 + 3*T^6)/T^3), 
   -((57 - 245*T1 + 446*T1^2 - 537*T1^3 + 446*T1^4 - 245*T1^5 + 57*T1^6 - 
      245*T2 + 812*T1*T2 - 875*T1^2*T2 + 397*T1^3*T2 + 397*T1^4*T2 - 
      875*T1^5*T2 + 812*T1^6*T2 - 245*T1^7*T2 + 446*T2^2 - 875*T1*T2^2 - 
      596*T1^2*T2^2 + 2258*T1^3*T2^2 - 3146*T1^4*T2^2 + 2258*T1^5*T2^2 - 
      596*T1^6*T2^2 - 875*T1^7*T2^2 + 446*T1^8*T2^2 - 537*T2^3 + 
      397*T1*T2^3 + 2258*T1^2*T2^3 - 2714*T1^3*T2^3 + 1412*T1^4*T2^3 + 
      1412*T1^5*T2^3 - 2714*T1^6*T2^3 + 2258*T1^7*T2^3 + 397*T1^8*T2^3 - 
      537*T1^9*T2^3 + 446*T2^4 + 397*T1*T2^4 - 3146*T1^2*T2^4 + 
      1412*T1^3*T2^4 + 569*T1^4*T2^4 - 2197*T1^5*T2^4 + 569*T1^6*T2^4 + 
      1412*T1^7*T2^4 - 3146*T1^8*T2^4 + 397*T1^9*T2^4 + 446*T1^10*T2^4 - 
      245*T2^5 - 875*T1*T2^5 + 2258*T1^2*T2^5 + 1412*T1^3*T2^5 - 
      2197*T1^4*T2^5 + 1576*T1^5*T2^5 + 1576*T1^6*T2^5 - 2197*T1^7*T2^5 + 
      1412*T1^8*T2^5 + 2258*T1^9*T2^5 - 875*T1^10*T2^5 - 245*T1^11*T2^5 + 
      57*T2^6 + 812*T1*T2^6 - 596*T1^2*T2^6 - 2714*T1^3*T2^6 + 
      569*T1^4*T2^6 + 1576*T1^5*T2^6 - 3660*T1^6*T2^6 + 1576*T1^7*T2^6 + 
      569*T1^8*T2^6 - 2714*T1^9*T2^6 - 596*T1^10*T2^6 + 812*T1^11*T2^6 + 
      57*T1^12*T2^6 - 245*T1*T2^7 - 875*T1^2*T2^7 + 2258*T1^3*T2^7 + 
      1412*T1^4*T2^7 - 2197*T1^5*T2^7 + 1576*T1^6*T2^7 + 1576*T1^7*T2^7 - 
      2197*T1^8*T2^7 + 1412*T1^9*T2^7 + 2258*T1^10*T2^7 - 875*T1^11*T2^7 - 
      245*T1^12*T2^7 + 446*T1^2*T2^8 + 397*T1^3*T2^8 - 3146*T1^4*T2^8 + 
      1412*T1^5*T2^8 + 569*T1^6*T2^8 - 2197*T1^7*T2^8 + 569*T1^8*T2^8 + 
      1412*T1^9*T2^8 - 3146*T1^10*T2^8 + 397*T1^11*T2^8 + 446*T1^12*T2^8 - 
      537*T1^3*T2^9 + 397*T1^4*T2^9 + 2258*T1^5*T2^9 - 2714*T1^6*T2^9 + 
      1412*T1^7*T2^9 + 1412*T1^8*T2^9 - 2714*T1^9*T2^9 + 2258*T1^10*T2^9 + 
      397*T1^11*T2^9 - 537*T1^12*T2^9 + 446*T1^4*T2^10 - 875*T1^5*T2^10 - 
      596*T1^6*T2^10 + 2258*T1^7*T2^10 - 3146*T1^8*T2^10 + 2258*T1^9*T2^10 - 
      596*T1^10*T2^10 - 875*T1^11*T2^10 + 446*T1^12*T2^10 - 245*T1^5*T2^11 + 
      812*T1^6*T2^11 - 875*T1^7*T2^11 + 397*T1^8*T2^11 + 397*T1^9*T2^11 - 
      875*T1^10*T2^11 + 812*T1^11*T2^11 - 245*T1^12*T2^11 + 57*T1^6*T2^12 - 
      245*T1^7*T2^12 + 446*T1^8*T2^12 - 537*T1^9*T2^12 + 446*T1^10*T2^12 - 
      245*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   -((2*T1 - 6*T1^2 + 10*T1^3 - 6*T1^4 + 2*T1^5 + 2*T2 - 14*T1*T2 + 
      26*T1^2*T2 - 18*T1^3*T2 - 18*T1^4*T2 + 26*T1^5*T2 - 14*T1^6*T2 + 
      2*T1^7*T2 - 6*T2^2 + 26*T1*T2^2 - 19*T1^2*T2^2 - 52*T1^3*T2^2 + 
      107*T1^4*T2^2 - 52*T1^5*T2^2 - 19*T1^6*T2^2 + 26*T1^7*T2^2 - 
      6*T1^8*T2^2 + 10*T2^3 - 18*T1*T2^3 - 52*T1^2*T2^3 + 180*T1^3*T2^3 - 
      99*T1^4*T2^3 - 99*T1^5*T2^3 + 180*T1^6*T2^3 - 52*T1^7*T2^3 - 
      18*T1^8*T2^3 + 10*T1^9*T2^3 - 6*T2^4 - 18*T1*T2^4 + 107*T1^2*T2^4 - 
      99*T1^3*T2^4 - 283*T1^4*T2^4 + 447*T1^5*T2^4 - 283*T1^6*T2^4 - 
      99*T1^7*T2^4 + 107*T1^8*T2^4 - 18*T1^9*T2^4 - 6*T1^10*T2^4 + 2*T2^5 + 
      26*T1*T2^5 - 52*T1^2*T2^5 - 99*T1^3*T2^5 + 447*T1^4*T2^5 - 
      186*T1^5*T2^5 - 186*T1^6*T2^5 + 447*T1^7*T2^5 - 99*T1^8*T2^5 - 
      52*T1^9*T2^5 + 26*T1^10*T2^5 + 2*T1^11*T2^5 - 14*T1*T2^6 - 
      19*T1^2*T2^6 + 180*T1^3*T2^6 - 283*T1^4*T2^6 - 186*T1^5*T2^6 + 
      312*T1^6*T2^6 - 186*T1^7*T2^6 - 283*T1^8*T2^6 + 180*T1^9*T2^6 - 
      19*T1^10*T2^6 - 14*T1^11*T2^6 + 2*T1*T2^7 + 26*T1^2*T2^7 - 
      52*T1^3*T2^7 - 99*T1^4*T2^7 + 447*T1^5*T2^7 - 186*T1^6*T2^7 - 
      186*T1^7*T2^7 + 447*T1^8*T2^7 - 99*T1^9*T2^7 - 52*T1^10*T2^7 + 
      26*T1^11*T2^7 + 2*T1^12*T2^7 - 6*T1^2*T2^8 - 18*T1^3*T2^8 + 
      107*T1^4*T2^8 - 99*T1^5*T2^8 - 283*T1^6*T2^8 + 447*T1^7*T2^8 - 
      283*T1^8*T2^8 - 99*T1^9*T2^8 + 107*T1^10*T2^8 - 18*T1^11*T2^8 - 
      6*T1^12*T2^8 + 10*T1^3*T2^9 - 18*T1^4*T2^9 - 52*T1^5*T2^9 + 
      180*T1^6*T2^9 - 99*T1^7*T2^9 - 99*T1^8*T2^9 + 180*T1^9*T2^9 - 
      52*T1^10*T2^9 - 18*T1^11*T2^9 + 10*T1^12*T2^9 - 6*T1^4*T2^10 + 
      26*T1^5*T2^10 - 19*T1^6*T2^10 - 52*T1^7*T2^10 + 107*T1^8*T2^10 - 
      52*T1^9*T2^10 - 19*T1^10*T2^10 + 26*T1^11*T2^10 - 6*T1^12*T2^10 + 
      2*T1^5*T2^11 - 14*T1^6*T2^11 + 26*T1^7*T2^11 - 18*T1^8*T2^11 - 
      18*T1^9*T2^11 + 26*T1^10*T2^11 - 14*T1^11*T2^11 + 2*T1^12*T2^11 + 
      2*T1^7*T2^12 - 6*T1^8*T2^12 + 10*T1^9*T2^12 - 6*T1^10*T2^12 + 
      2*T1^11*T2^12)/(T1^6*T2^6))}, Knot[11, Alternating, 107] -> 
  {((1 - T + T^2)*(2 - 9*T + 15*T^2 - 9*T^3 + 2*T^4))/T^3, 
   (7 - 39*T1 + 92*T1^2 - 117*T1^3 + 92*T1^4 - 39*T1^5 + 7*T1^6 - 39*T2 + 
     178*T1*T2 - 295*T1^2*T2 + 139*T1^3*T2 + 139*T1^4*T2 - 295*T1^5*T2 + 
     178*T1^6*T2 - 39*T1^7*T2 + 92*T2^2 - 295*T1*T2^2 + 102*T1^2*T2^2 + 
     772*T1^3*T2^2 - 1180*T1^4*T2^2 + 772*T1^5*T2^2 + 102*T1^6*T2^2 - 
     295*T1^7*T2^2 + 92*T1^8*T2^2 - 117*T2^3 + 139*T1*T2^3 + 772*T1^2*T2^3 - 
     1976*T1^3*T2^3 + 955*T1^4*T2^3 + 955*T1^5*T2^3 - 1976*T1^6*T2^3 + 
     772*T1^7*T2^3 + 139*T1^8*T2^3 - 117*T1^9*T2^3 + 92*T2^4 + 139*T1*T2^4 - 
     1180*T1^2*T2^4 + 955*T1^3*T2^4 + 2452*T1^4*T2^4 - 4054*T1^5*T2^4 + 
     2452*T1^6*T2^4 + 955*T1^7*T2^4 - 1180*T1^8*T2^4 + 139*T1^9*T2^4 + 
     92*T1^10*T2^4 - 39*T2^5 - 295*T1*T2^5 + 772*T1^2*T2^5 + 955*T1^3*T2^5 - 
     4054*T1^4*T2^5 + 2054*T1^5*T2^5 + 2054*T1^6*T2^5 - 4054*T1^7*T2^5 + 
     955*T1^8*T2^5 + 772*T1^9*T2^5 - 295*T1^10*T2^5 - 39*T1^11*T2^5 + 
     7*T2^6 + 178*T1*T2^6 + 102*T1^2*T2^6 - 1976*T1^3*T2^6 + 2452*T1^4*T2^6 + 
     2054*T1^5*T2^6 - 4284*T1^6*T2^6 + 2054*T1^7*T2^6 + 2452*T1^8*T2^6 - 
     1976*T1^9*T2^6 + 102*T1^10*T2^6 + 178*T1^11*T2^6 + 7*T1^12*T2^6 - 
     39*T1*T2^7 - 295*T1^2*T2^7 + 772*T1^3*T2^7 + 955*T1^4*T2^7 - 
     4054*T1^5*T2^7 + 2054*T1^6*T2^7 + 2054*T1^7*T2^7 - 4054*T1^8*T2^7 + 
     955*T1^9*T2^7 + 772*T1^10*T2^7 - 295*T1^11*T2^7 - 39*T1^12*T2^7 + 
     92*T1^2*T2^8 + 139*T1^3*T2^8 - 1180*T1^4*T2^8 + 955*T1^5*T2^8 + 
     2452*T1^6*T2^8 - 4054*T1^7*T2^8 + 2452*T1^8*T2^8 + 955*T1^9*T2^8 - 
     1180*T1^10*T2^8 + 139*T1^11*T2^8 + 92*T1^12*T2^8 - 117*T1^3*T2^9 + 
     139*T1^4*T2^9 + 772*T1^5*T2^9 - 1976*T1^6*T2^9 + 955*T1^7*T2^9 + 
     955*T1^8*T2^9 - 1976*T1^9*T2^9 + 772*T1^10*T2^9 + 139*T1^11*T2^9 - 
     117*T1^12*T2^9 + 92*T1^4*T2^10 - 295*T1^5*T2^10 + 102*T1^6*T2^10 + 
     772*T1^7*T2^10 - 1180*T1^8*T2^10 + 772*T1^9*T2^10 + 102*T1^10*T2^10 - 
     295*T1^11*T2^10 + 92*T1^12*T2^10 - 39*T1^5*T2^11 + 178*T1^6*T2^11 - 
     295*T1^7*T2^11 + 139*T1^8*T2^11 + 139*T1^9*T2^11 - 295*T1^10*T2^11 + 
     178*T1^11*T2^11 - 39*T1^12*T2^11 + 7*T1^6*T2^12 - 39*T1^7*T2^12 + 
     92*T1^8*T2^12 - 117*T1^9*T2^12 + 92*T1^10*T2^12 - 39*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, Alternating, 108] -> 
  {-(((1 - T + T^2)^2*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^4), 
   (1 - 5*T1 + 12*T1^2 - 20*T1^3 + 23*T1^4 - 20*T1^5 + 12*T1^6 - 5*T1^7 + 
     T1^8 - 5*T2 + 20*T1*T2 - 35*T1^2*T2 + 40*T1^3*T2 - 15*T1^4*T2 - 
     15*T1^5*T2 + 40*T1^6*T2 - 35*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
     12*T2^2 - 35*T1*T2^2 + 31*T1^2*T2^2 + 4*T1^3*T2^2 - 92*T1^4*T2^2 + 
     113*T1^5*T2^2 - 92*T1^6*T2^2 + 4*T1^7*T2^2 + 31*T1^8*T2^2 - 
     35*T1^9*T2^2 + 12*T1^10*T2^2 - 20*T2^3 + 40*T1*T2^3 + 4*T1^2*T2^3 - 
     68*T1^3*T2^3 + 166*T1^4*T2^3 - 52*T1^5*T2^3 - 52*T1^6*T2^3 + 
     166*T1^7*T2^3 - 68*T1^8*T2^3 + 4*T1^9*T2^3 + 40*T1^10*T2^3 - 
     20*T1^11*T2^3 + 23*T2^4 - 15*T1*T2^4 - 92*T1^2*T2^4 + 166*T1^3*T2^4 - 
     215*T1^4*T2^4 - 67*T1^5*T2^4 + 107*T1^6*T2^4 - 67*T1^7*T2^4 - 
     215*T1^8*T2^4 + 166*T1^9*T2^4 - 92*T1^10*T2^4 - 15*T1^11*T2^4 + 
     23*T1^12*T2^4 - 20*T2^5 - 15*T1*T2^5 + 113*T1^2*T2^5 - 52*T1^3*T2^5 - 
     67*T1^4*T2^5 + 412*T1^5*T2^5 - 140*T1^6*T2^5 - 140*T1^7*T2^5 + 
     412*T1^8*T2^5 - 67*T1^9*T2^5 - 52*T1^10*T2^5 + 113*T1^11*T2^5 - 
     15*T1^12*T2^5 - 20*T1^13*T2^5 + 12*T2^6 + 40*T1*T2^6 - 92*T1^2*T2^6 - 
     52*T1^3*T2^6 + 107*T1^4*T2^6 - 140*T1^5*T2^6 - 514*T1^6*T2^6 + 
     692*T1^7*T2^6 - 514*T1^8*T2^6 - 140*T1^9*T2^6 + 107*T1^10*T2^6 - 
     52*T1^11*T2^6 - 92*T1^12*T2^6 + 40*T1^13*T2^6 + 12*T1^14*T2^6 - 5*T2^7 - 
     35*T1*T2^7 + 4*T1^2*T2^7 + 166*T1^3*T2^7 - 67*T1^4*T2^7 - 
     140*T1^5*T2^7 + 692*T1^6*T2^7 - 294*T1^7*T2^7 - 294*T1^8*T2^7 + 
     692*T1^9*T2^7 - 140*T1^10*T2^7 - 67*T1^11*T2^7 + 166*T1^12*T2^7 + 
     4*T1^13*T2^7 - 35*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 
     31*T1^2*T2^8 - 68*T1^3*T2^8 - 215*T1^4*T2^8 + 412*T1^5*T2^8 - 
     514*T1^6*T2^8 - 294*T1^7*T2^8 + 600*T1^8*T2^8 - 294*T1^9*T2^8 - 
     514*T1^10*T2^8 + 412*T1^11*T2^8 - 215*T1^12*T2^8 - 68*T1^13*T2^8 + 
     31*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 35*T1^2*T2^9 + 
     4*T1^3*T2^9 + 166*T1^4*T2^9 - 67*T1^5*T2^9 - 140*T1^6*T2^9 + 
     692*T1^7*T2^9 - 294*T1^8*T2^9 - 294*T1^9*T2^9 + 692*T1^10*T2^9 - 
     140*T1^11*T2^9 - 67*T1^12*T2^9 + 166*T1^13*T2^9 + 4*T1^14*T2^9 - 
     35*T1^15*T2^9 - 5*T1^16*T2^9 + 12*T1^2*T2^10 + 40*T1^3*T2^10 - 
     92*T1^4*T2^10 - 52*T1^5*T2^10 + 107*T1^6*T2^10 - 140*T1^7*T2^10 - 
     514*T1^8*T2^10 + 692*T1^9*T2^10 - 514*T1^10*T2^10 - 140*T1^11*T2^10 + 
     107*T1^12*T2^10 - 52*T1^13*T2^10 - 92*T1^14*T2^10 + 40*T1^15*T2^10 + 
     12*T1^16*T2^10 - 20*T1^3*T2^11 - 15*T1^4*T2^11 + 113*T1^5*T2^11 - 
     52*T1^6*T2^11 - 67*T1^7*T2^11 + 412*T1^8*T2^11 - 140*T1^9*T2^11 - 
     140*T1^10*T2^11 + 412*T1^11*T2^11 - 67*T1^12*T2^11 - 52*T1^13*T2^11 + 
     113*T1^14*T2^11 - 15*T1^15*T2^11 - 20*T1^16*T2^11 + 23*T1^4*T2^12 - 
     15*T1^5*T2^12 - 92*T1^6*T2^12 + 166*T1^7*T2^12 - 215*T1^8*T2^12 - 
     67*T1^9*T2^12 + 107*T1^10*T2^12 - 67*T1^11*T2^12 - 215*T1^12*T2^12 + 
     166*T1^13*T2^12 - 92*T1^14*T2^12 - 15*T1^15*T2^12 + 23*T1^16*T2^12 - 
     20*T1^5*T2^13 + 40*T1^6*T2^13 + 4*T1^7*T2^13 - 68*T1^8*T2^13 + 
     166*T1^9*T2^13 - 52*T1^10*T2^13 - 52*T1^11*T2^13 + 166*T1^12*T2^13 - 
     68*T1^13*T2^13 + 4*T1^14*T2^13 + 40*T1^15*T2^13 - 20*T1^16*T2^13 + 
     12*T1^6*T2^14 - 35*T1^7*T2^14 + 31*T1^8*T2^14 + 4*T1^9*T2^14 - 
     92*T1^10*T2^14 + 113*T1^11*T2^14 - 92*T1^12*T2^14 + 4*T1^13*T2^14 + 
     31*T1^14*T2^14 - 35*T1^15*T2^14 + 12*T1^16*T2^14 - 5*T1^7*T2^15 + 
     20*T1^8*T2^15 - 35*T1^9*T2^15 + 40*T1^10*T2^15 - 15*T1^11*T2^15 - 
     15*T1^12*T2^15 + 40*T1^13*T2^15 - 35*T1^14*T2^15 + 20*T1^15*T2^15 - 
     5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 12*T1^10*T2^16 - 
     20*T1^11*T2^16 + 23*T1^12*T2^16 - 20*T1^13*T2^16 + 12*T1^14*T2^16 - 
     5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 109] -> 
  {((1 - T + T^2)^2*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^4, 
   (-2*(T1 - 4*T1^2 + 6*T1^3 - 4*T1^4 + T1^5 + T2 - 7*T1*T2 + 17*T1^2*T2 - 
      10*T1^3*T2 - 10*T1^4*T2 + 17*T1^5*T2 - 7*T1^6*T2 + T1^7*T2 - 4*T2^2 + 
      17*T1*T2^2 - 28*T1^2*T2^2 - 13*T1^3*T2^2 + 40*T1^4*T2^2 - 
      13*T1^5*T2^2 - 28*T1^6*T2^2 + 17*T1^7*T2^2 - 4*T1^8*T2^2 + 6*T2^3 - 
      10*T1*T2^3 - 13*T1^2*T2^3 + 107*T1^3*T2^3 - 59*T1^4*T2^3 - 
      59*T1^5*T2^3 + 107*T1^6*T2^3 - 13*T1^7*T2^3 - 10*T1^8*T2^3 + 
      6*T1^9*T2^3 - 4*T2^4 - 10*T1*T2^4 + 40*T1^2*T2^4 - 59*T1^3*T2^4 - 
      215*T1^4*T2^4 + 346*T1^5*T2^4 - 215*T1^6*T2^4 - 59*T1^7*T2^4 + 
      40*T1^8*T2^4 - 10*T1^9*T2^4 - 4*T1^10*T2^4 + T2^5 + 17*T1*T2^5 - 
      13*T1^2*T2^5 - 59*T1^3*T2^5 + 346*T1^4*T2^5 - 168*T1^5*T2^5 - 
      168*T1^6*T2^5 + 346*T1^7*T2^5 - 59*T1^8*T2^5 - 13*T1^9*T2^5 + 
      17*T1^10*T2^5 + T1^11*T2^5 - 7*T1*T2^6 - 28*T1^2*T2^6 + 107*T1^3*T2^6 - 
      215*T1^4*T2^6 - 168*T1^5*T2^6 + 330*T1^6*T2^6 - 168*T1^7*T2^6 - 
      215*T1^8*T2^6 + 107*T1^9*T2^6 - 28*T1^10*T2^6 - 7*T1^11*T2^6 + 
      T1*T2^7 + 17*T1^2*T2^7 - 13*T1^3*T2^7 - 59*T1^4*T2^7 + 346*T1^5*T2^7 - 
      168*T1^6*T2^7 - 168*T1^7*T2^7 + 346*T1^8*T2^7 - 59*T1^9*T2^7 - 
      13*T1^10*T2^7 + 17*T1^11*T2^7 + T1^12*T2^7 - 4*T1^2*T2^8 - 
      10*T1^3*T2^8 + 40*T1^4*T2^8 - 59*T1^5*T2^8 - 215*T1^6*T2^8 + 
      346*T1^7*T2^8 - 215*T1^8*T2^8 - 59*T1^9*T2^8 + 40*T1^10*T2^8 - 
      10*T1^11*T2^8 - 4*T1^12*T2^8 + 6*T1^3*T2^9 - 10*T1^4*T2^9 - 
      13*T1^5*T2^9 + 107*T1^6*T2^9 - 59*T1^7*T2^9 - 59*T1^8*T2^9 + 
      107*T1^9*T2^9 - 13*T1^10*T2^9 - 10*T1^11*T2^9 + 6*T1^12*T2^9 - 
      4*T1^4*T2^10 + 17*T1^5*T2^10 - 28*T1^6*T2^10 - 13*T1^7*T2^10 + 
      40*T1^8*T2^10 - 13*T1^9*T2^10 - 28*T1^10*T2^10 + 17*T1^11*T2^10 - 
      4*T1^12*T2^10 + T1^5*T2^11 - 7*T1^6*T2^11 + 17*T1^7*T2^11 - 
      10*T1^8*T2^11 - 10*T1^9*T2^11 + 17*T1^10*T2^11 - 7*T1^11*T2^11 + 
      T1^12*T2^11 + T1^7*T2^12 - 4*T1^8*T2^12 + 6*T1^9*T2^12 - 
      4*T1^10*T2^12 + T1^11*T2^12))/(T1^6*T2^6)}, 
 Knot[11, Alternating, 110] -> 
  {-((2 - 10*T + 22*T^2 - 29*T^3 + 22*T^4 - 10*T^5 + 2*T^6)/T^3), 
   (1 - 5*T1 + 11*T1^2 - 15*T1^3 + 11*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 30*T1^2*T2 + 20*T1^3*T2 + 20*T1^4*T2 - 30*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 11*T2^2 - 30*T1*T2^2 + 15*T1^2*T2^2 + 
     35*T1^3*T2^2 - 105*T1^4*T2^2 + 35*T1^5*T2^2 + 15*T1^6*T2^2 - 
     30*T1^7*T2^2 + 11*T1^8*T2^2 - 15*T2^3 + 20*T1*T2^3 + 35*T1^2*T2^3 - 
     98*T1^3*T2^3 + 114*T1^4*T2^3 + 114*T1^5*T2^3 - 98*T1^6*T2^3 + 
     35*T1^7*T2^3 + 20*T1^8*T2^3 - 15*T1^9*T2^3 + 11*T2^4 + 20*T1*T2^4 - 
     105*T1^2*T2^4 + 114*T1^3*T2^4 + 19*T1^4*T2^4 - 317*T1^5*T2^4 + 
     19*T1^6*T2^4 + 114*T1^7*T2^4 - 105*T1^8*T2^4 + 20*T1^9*T2^4 + 
     11*T1^10*T2^4 - 5*T2^5 - 30*T1*T2^5 + 35*T1^2*T2^5 + 114*T1^3*T2^5 - 
     317*T1^4*T2^5 + 336*T1^5*T2^5 + 336*T1^6*T2^5 - 317*T1^7*T2^5 + 
     114*T1^8*T2^5 + 35*T1^9*T2^5 - 30*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 + 15*T1^2*T2^6 - 98*T1^3*T2^6 + 19*T1^4*T2^6 + 
     336*T1^5*T2^6 - 876*T1^6*T2^6 + 336*T1^7*T2^6 + 19*T1^8*T2^6 - 
     98*T1^9*T2^6 + 15*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     30*T1^2*T2^7 + 35*T1^3*T2^7 + 114*T1^4*T2^7 - 317*T1^5*T2^7 + 
     336*T1^6*T2^7 + 336*T1^7*T2^7 - 317*T1^8*T2^7 + 114*T1^9*T2^7 + 
     35*T1^10*T2^7 - 30*T1^11*T2^7 - 5*T1^12*T2^7 + 11*T1^2*T2^8 + 
     20*T1^3*T2^8 - 105*T1^4*T2^8 + 114*T1^5*T2^8 + 19*T1^6*T2^8 - 
     317*T1^7*T2^8 + 19*T1^8*T2^8 + 114*T1^9*T2^8 - 105*T1^10*T2^8 + 
     20*T1^11*T2^8 + 11*T1^12*T2^8 - 15*T1^3*T2^9 + 20*T1^4*T2^9 + 
     35*T1^5*T2^9 - 98*T1^6*T2^9 + 114*T1^7*T2^9 + 114*T1^8*T2^9 - 
     98*T1^9*T2^9 + 35*T1^10*T2^9 + 20*T1^11*T2^9 - 15*T1^12*T2^9 + 
     11*T1^4*T2^10 - 30*T1^5*T2^10 + 15*T1^6*T2^10 + 35*T1^7*T2^10 - 
     105*T1^8*T2^10 + 35*T1^9*T2^10 + 15*T1^10*T2^10 - 30*T1^11*T2^10 + 
     11*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 30*T1^7*T2^11 + 
     20*T1^8*T2^11 + 20*T1^9*T2^11 - 30*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 11*T1^8*T2^12 - 
     15*T1^9*T2^12 + 11*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 111] -> 
  {(2 - 10*T + 24*T^2 - 31*T^3 + 24*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (7 - 35*T1 + 83*T1^2 - 107*T1^3 + 83*T1^4 - 35*T1^5 + 7*T1^6 - 35*T2 + 
     140*T1*T2 - 240*T1^2*T2 + 120*T1^3*T2 + 120*T1^4*T2 - 240*T1^5*T2 + 
     140*T1^6*T2 - 35*T1^7*T2 + 83*T2^2 - 240*T1*T2^2 + 177*T1^2*T2^2 + 
     439*T1^3*T2^2 - 781*T1^4*T2^2 + 439*T1^5*T2^2 + 177*T1^6*T2^2 - 
     240*T1^7*T2^2 + 83*T1^8*T2^2 - 107*T2^3 + 120*T1*T2^3 + 439*T1^2*T2^3 - 
     1412*T1^3*T2^3 + 770*T1^4*T2^3 + 770*T1^5*T2^3 - 1412*T1^6*T2^3 + 
     439*T1^7*T2^3 + 120*T1^8*T2^3 - 107*T1^9*T2^3 + 83*T2^4 + 120*T1*T2^4 - 
     781*T1^2*T2^4 + 770*T1^3*T2^4 + 1856*T1^4*T2^4 - 3370*T1^5*T2^4 + 
     1856*T1^6*T2^4 + 770*T1^7*T2^4 - 781*T1^8*T2^4 + 120*T1^9*T2^4 + 
     83*T1^10*T2^4 - 35*T2^5 - 240*T1*T2^5 + 439*T1^2*T2^5 + 770*T1^3*T2^5 - 
     3370*T1^4*T2^5 + 1920*T1^5*T2^5 + 1920*T1^6*T2^5 - 3370*T1^7*T2^5 + 
     770*T1^8*T2^5 + 439*T1^9*T2^5 - 240*T1^10*T2^5 - 35*T1^11*T2^5 + 
     7*T2^6 + 140*T1*T2^6 + 177*T1^2*T2^6 - 1412*T1^3*T2^6 + 1856*T1^4*T2^6 + 
     1920*T1^5*T2^6 - 4224*T1^6*T2^6 + 1920*T1^7*T2^6 + 1856*T1^8*T2^6 - 
     1412*T1^9*T2^6 + 177*T1^10*T2^6 + 140*T1^11*T2^6 + 7*T1^12*T2^6 - 
     35*T1*T2^7 - 240*T1^2*T2^7 + 439*T1^3*T2^7 + 770*T1^4*T2^7 - 
     3370*T1^5*T2^7 + 1920*T1^6*T2^7 + 1920*T1^7*T2^7 - 3370*T1^8*T2^7 + 
     770*T1^9*T2^7 + 439*T1^10*T2^7 - 240*T1^11*T2^7 - 35*T1^12*T2^7 + 
     83*T1^2*T2^8 + 120*T1^3*T2^8 - 781*T1^4*T2^8 + 770*T1^5*T2^8 + 
     1856*T1^6*T2^8 - 3370*T1^7*T2^8 + 1856*T1^8*T2^8 + 770*T1^9*T2^8 - 
     781*T1^10*T2^8 + 120*T1^11*T2^8 + 83*T1^12*T2^8 - 107*T1^3*T2^9 + 
     120*T1^4*T2^9 + 439*T1^5*T2^9 - 1412*T1^6*T2^9 + 770*T1^7*T2^9 + 
     770*T1^8*T2^9 - 1412*T1^9*T2^9 + 439*T1^10*T2^9 + 120*T1^11*T2^9 - 
     107*T1^12*T2^9 + 83*T1^4*T2^10 - 240*T1^5*T2^10 + 177*T1^6*T2^10 + 
     439*T1^7*T2^10 - 781*T1^8*T2^10 + 439*T1^9*T2^10 + 177*T1^10*T2^10 - 
     240*T1^11*T2^10 + 83*T1^12*T2^10 - 35*T1^5*T2^11 + 140*T1^6*T2^11 - 
     240*T1^7*T2^11 + 120*T1^8*T2^11 + 120*T1^9*T2^11 - 240*T1^10*T2^11 + 
     140*T1^11*T2^11 - 35*T1^12*T2^11 + 7*T1^6*T2^12 - 35*T1^7*T2^12 + 
     83*T1^8*T2^12 - 107*T1^9*T2^12 + 83*T1^10*T2^12 - 35*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   (T1 - 5*T1^2 + 8*T1^3 - 5*T1^4 + T1^5 + T2 - 10*T1*T2 + 29*T1^2*T2 - 
     19*T1^3*T2 - 19*T1^4*T2 + 29*T1^5*T2 - 10*T1^6*T2 + T1^7*T2 - 5*T2^2 + 
     29*T1*T2^2 - 38*T1^2*T2^2 - 72*T1^3*T2^2 + 150*T1^4*T2^2 - 
     72*T1^5*T2^2 - 38*T1^6*T2^2 + 29*T1^7*T2^2 - 5*T1^8*T2^2 + 8*T2^3 - 
     19*T1*T2^3 - 72*T1^2*T2^3 + 286*T1^3*T2^3 - 154*T1^4*T2^3 - 
     154*T1^5*T2^3 + 286*T1^6*T2^3 - 72*T1^7*T2^3 - 19*T1^8*T2^3 + 
     8*T1^9*T2^3 - 5*T2^4 - 19*T1*T2^4 + 150*T1^2*T2^4 - 154*T1^3*T2^4 - 
     386*T1^4*T2^4 + 584*T1^5*T2^4 - 386*T1^6*T2^4 - 154*T1^7*T2^4 + 
     150*T1^8*T2^4 - 19*T1^9*T2^4 - 5*T1^10*T2^4 + T2^5 + 29*T1*T2^5 - 
     72*T1^2*T2^5 - 154*T1^3*T2^5 + 584*T1^4*T2^5 - 188*T1^5*T2^5 - 
     188*T1^6*T2^5 + 584*T1^7*T2^5 - 154*T1^8*T2^5 - 72*T1^9*T2^5 + 
     29*T1^10*T2^5 + T1^11*T2^5 - 10*T1*T2^6 - 38*T1^2*T2^6 + 286*T1^3*T2^6 - 
     386*T1^4*T2^6 - 188*T1^5*T2^6 + 204*T1^6*T2^6 - 188*T1^7*T2^6 - 
     386*T1^8*T2^6 + 286*T1^9*T2^6 - 38*T1^10*T2^6 - 10*T1^11*T2^6 + 
     T1*T2^7 + 29*T1^2*T2^7 - 72*T1^3*T2^7 - 154*T1^4*T2^7 + 584*T1^5*T2^7 - 
     188*T1^6*T2^7 - 188*T1^7*T2^7 + 584*T1^8*T2^7 - 154*T1^9*T2^7 - 
     72*T1^10*T2^7 + 29*T1^11*T2^7 + T1^12*T2^7 - 5*T1^2*T2^8 - 
     19*T1^3*T2^8 + 150*T1^4*T2^8 - 154*T1^5*T2^8 - 386*T1^6*T2^8 + 
     584*T1^7*T2^8 - 386*T1^8*T2^8 - 154*T1^9*T2^8 + 150*T1^10*T2^8 - 
     19*T1^11*T2^8 - 5*T1^12*T2^8 + 8*T1^3*T2^9 - 19*T1^4*T2^9 - 
     72*T1^5*T2^9 + 286*T1^6*T2^9 - 154*T1^7*T2^9 - 154*T1^8*T2^9 + 
     286*T1^9*T2^9 - 72*T1^10*T2^9 - 19*T1^11*T2^9 + 8*T1^12*T2^9 - 
     5*T1^4*T2^10 + 29*T1^5*T2^10 - 38*T1^6*T2^10 - 72*T1^7*T2^10 + 
     150*T1^8*T2^10 - 72*T1^9*T2^10 - 38*T1^10*T2^10 + 29*T1^11*T2^10 - 
     5*T1^12*T2^10 + T1^5*T2^11 - 10*T1^6*T2^11 + 29*T1^7*T2^11 - 
     19*T1^8*T2^11 - 19*T1^9*T2^11 + 29*T1^10*T2^11 - 10*T1^11*T2^11 + 
     T1^12*T2^11 + T1^7*T2^12 - 5*T1^8*T2^12 + 8*T1^9*T2^12 - 5*T1^10*T2^12 + 
     T1^11*T2^12)/(T1^6*T2^6)}, 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 + 60*T1*T2 - 108*T1^2*T2 + 72*T1^3*T2 - 24*T1^4*T2 - 
      24*T1^5*T2 + 72*T1^6*T2 - 108*T1^7*T2 + 60*T1^8*T2 - 12*T1^9*T2 + 
      30*T2^2 - 108*T1*T2^2 + 46*T1^2*T2^2 + 279*T1^3*T2^2 - 391*T1^4*T2^2 + 
      418*T1^5*T2^2 - 391*T1^6*T2^2 + 279*T1^7*T2^2 + 46*T1^8*T2^2 - 
      108*T1^9*T2^2 + 30*T1^10*T2^2 - 42*T2^3 + 72*T1*T2^3 + 279*T1^2*T2^3 - 
      810*T1^3*T2^3 + 414*T1^4*T2^3 - 122*T1^5*T2^3 - 122*T1^6*T2^3 + 
      414*T1^7*T2^3 - 810*T1^8*T2^3 + 279*T1^9*T2^3 + 72*T1^10*T2^3 - 
      42*T1^11*T2^3 + 46*T2^4 - 24*T1*T2^4 - 391*T1^2*T2^4 + 414*T1^3*T2^4 + 
      1028*T1^4*T2^4 - 1278*T1^5*T2^4 + 1324*T1^6*T2^4 - 1278*T1^7*T2^4 + 
      1028*T1^8*T2^4 + 414*T1^9*T2^4 - 391*T1^10*T2^4 - 24*T1^11*T2^4 + 
      46*T1^12*T2^4 - 42*T2^5 - 24*T1*T2^5 + 418*T1^2*T2^5 - 122*T1^3*T2^5 - 
      1278*T1^4*T2^5 + 388*T1^5*T2^5 - 95*T1^6*T2^5 - 95*T1^7*T2^5 + 
      388*T1^8*T2^5 - 1278*T1^9*T2^5 - 122*T1^10*T2^5 + 418*T1^11*T2^5 - 
      24*T1^12*T2^5 - 42*T1^13*T2^5 + 30*T2^6 + 72*T1*T2^6 - 391*T1^2*T2^6 - 
      122*T1^3*T2^6 + 1324*T1^4*T2^6 - 95*T1^5*T2^6 + 530*T1^6*T2^6 - 
      648*T1^7*T2^6 + 530*T1^8*T2^6 - 95*T1^9*T2^6 + 1324*T1^10*T2^6 - 
      122*T1^11*T2^6 - 391*T1^12*T2^6 + 72*T1^13*T2^6 + 30*T1^14*T2^6 - 
      12*T2^7 - 108*T1*T2^7 + 279*T1^2*T2^7 + 414*T1^3*T2^7 - 
      1278*T1^4*T2^7 - 95*T1^5*T2^7 - 648*T1^6*T2^7 + 244*T1^7*T2^7 + 
      244*T1^8*T2^7 - 648*T1^9*T2^7 - 95*T1^10*T2^7 - 1278*T1^11*T2^7 + 
      414*T1^12*T2^7 + 279*T1^13*T2^7 - 108*T1^14*T2^7 - 12*T1^15*T2^7 + 
      2*T2^8 + 60*T1*T2^8 + 46*T1^2*T2^8 - 810*T1^3*T2^8 + 1028*T1^4*T2^8 + 
      388*T1^5*T2^8 + 530*T1^6*T2^8 + 244*T1^7*T2^8 - 444*T1^8*T2^8 + 
      244*T1^9*T2^8 + 530*T1^10*T2^8 + 388*T1^11*T2^8 + 1028*T1^12*T2^8 - 
      810*T1^13*T2^8 + 46*T1^14*T2^8 + 60*T1^15*T2^8 + 2*T1^16*T2^8 - 
      12*T1*T2^9 - 108*T1^2*T2^9 + 279*T1^3*T2^9 + 414*T1^4*T2^9 - 
      1278*T1^5*T2^9 - 95*T1^6*T2^9 - 648*T1^7*T2^9 + 244*T1^8*T2^9 + 
      244*T1^9*T2^9 - 648*T1^10*T2^9 - 95*T1^11*T2^9 - 1278*T1^12*T2^9 + 
      414*T1^13*T2^9 + 279*T1^14*T2^9 - 108*T1^15*T2^9 - 12*T1^16*T2^9 + 
      30*T1^2*T2^10 + 72*T1^3*T2^10 - 391*T1^4*T2^10 - 122*T1^5*T2^10 + 
      1324*T1^6*T2^10 - 95*T1^7*T2^10 + 530*T1^8*T2^10 - 648*T1^9*T2^10 + 
      530*T1^10*T2^10 - 95*T1^11*T2^10 + 1324*T1^12*T2^10 - 122*T1^13*T2^10 - 
      391*T1^14*T2^10 + 72*T1^15*T2^10 + 30*T1^16*T2^10 - 42*T1^3*T2^11 - 
      24*T1^4*T2^11 + 418*T1^5*T2^11 - 122*T1^6*T2^11 - 1278*T1^7*T2^11 + 
      388*T1^8*T2^11 - 95*T1^9*T2^11 - 95*T1^10*T2^11 + 388*T1^11*T2^11 - 
      1278*T1^12*T2^11 - 122*T1^13*T2^11 + 418*T1^14*T2^11 - 24*T1^15*T2^11 - 
      42*T1^16*T2^11 + 46*T1^4*T2^12 - 24*T1^5*T2^12 - 391*T1^6*T2^12 + 
      414*T1^7*T2^12 + 1028*T1^8*T2^12 - 1278*T1^9*T2^12 + 1324*T1^10*T2^12 - 
      1278*T1^11*T2^12 + 1028*T1^12*T2^12 + 414*T1^13*T2^12 - 
      391*T1^14*T2^12 - 24*T1^15*T2^12 + 46*T1^16*T2^12 - 42*T1^5*T2^13 + 
      72*T1^6*T2^13 + 279*T1^7*T2^13 - 810*T1^8*T2^13 + 414*T1^9*T2^13 - 
      122*T1^10*T2^13 - 122*T1^11*T2^13 + 414*T1^12*T2^13 - 810*T1^13*T2^13 + 
      279*T1^14*T2^13 + 72*T1^15*T2^13 - 42*T1^16*T2^13 + 30*T1^6*T2^14 - 
      108*T1^7*T2^14 + 46*T1^8*T2^14 + 279*T1^9*T2^14 - 391*T1^10*T2^14 + 
      418*T1^11*T2^14 - 391*T1^12*T2^14 + 279*T1^13*T2^14 + 46*T1^14*T2^14 - 
      108*T1^15*T2^14 + 30*T1^16*T2^14 - 12*T1^7*T2^15 + 60*T1^8*T2^15 - 
      108*T1^9*T2^15 + 72*T1^10*T2^15 - 24*T1^11*T2^15 - 24*T1^12*T2^15 + 
      72*T1^13*T2^15 - 108*T1^14*T2^15 + 60*T1^15*T2^15 - 12*T1^16*T2^15 + 
      2*T1^8*T2^16 - 12*T1^9*T2^16 + 30*T1^10*T2^16 - 42*T1^11*T2^16 + 
      46*T1^12*T2^16 - 42*T1^13*T2^16 + 30*T1^14*T2^16 - 12*T1^15*T2^16 + 
      2*T1^16*T2^16)/(T1^8*T2^8))}, Knot[11, Alternating, 114] -> 
  {(3 - 15*T + 35*T^2 - 45*T^3 + 35*T^4 - 15*T^5 + 3*T^6)/T^3, 
   (30 - 147*T1 + 340*T1^2 - 434*T1^3 + 340*T1^4 - 147*T1^5 + 30*T1^6 - 
     147*T2 + 576*T1*T2 - 952*T1^2*T2 + 466*T1^3*T2 + 466*T1^4*T2 - 
     952*T1^5*T2 + 576*T1^6*T2 - 147*T1^7*T2 + 340*T2^2 - 952*T1*T2^2 + 
     667*T1^2*T2^2 + 1618*T1^3*T2^2 - 2811*T1^4*T2^2 + 1618*T1^5*T2^2 + 
     667*T1^6*T2^2 - 952*T1^7*T2^2 + 340*T1^8*T2^2 - 434*T2^3 + 466*T1*T2^3 + 
     1618*T1^2*T2^3 - 5032*T1^3*T2^3 + 2590*T1^4*T2^3 + 2590*T1^5*T2^3 - 
     5032*T1^6*T2^3 + 1618*T1^7*T2^3 + 466*T1^8*T2^3 - 434*T1^9*T2^3 + 
     340*T2^4 + 466*T1*T2^4 - 2811*T1^2*T2^4 + 2590*T1^3*T2^4 + 
     6826*T1^4*T2^4 - 11556*T1^5*T2^4 + 6826*T1^6*T2^4 + 2590*T1^7*T2^4 - 
     2811*T1^8*T2^4 + 466*T1^9*T2^4 + 340*T1^10*T2^4 - 147*T2^5 - 
     952*T1*T2^5 + 1618*T1^2*T2^5 + 2590*T1^3*T2^5 - 11556*T1^4*T2^5 + 
     5974*T1^5*T2^5 + 5974*T1^6*T2^5 - 11556*T1^7*T2^5 + 2590*T1^8*T2^5 + 
     1618*T1^9*T2^5 - 952*T1^10*T2^5 - 147*T1^11*T2^5 + 30*T2^6 + 
     576*T1*T2^6 + 667*T1^2*T2^6 - 5032*T1^3*T2^6 + 6826*T1^4*T2^6 + 
     5974*T1^5*T2^6 - 12420*T1^6*T2^6 + 5974*T1^7*T2^6 + 6826*T1^8*T2^6 - 
     5032*T1^9*T2^6 + 667*T1^10*T2^6 + 576*T1^11*T2^6 + 30*T1^12*T2^6 - 
     147*T1*T2^7 - 952*T1^2*T2^7 + 1618*T1^3*T2^7 + 2590*T1^4*T2^7 - 
     11556*T1^5*T2^7 + 5974*T1^6*T2^7 + 5974*T1^7*T2^7 - 11556*T1^8*T2^7 + 
     2590*T1^9*T2^7 + 1618*T1^10*T2^7 - 952*T1^11*T2^7 - 147*T1^12*T2^7 + 
     340*T1^2*T2^8 + 466*T1^3*T2^8 - 2811*T1^4*T2^8 + 2590*T1^5*T2^8 + 
     6826*T1^6*T2^8 - 11556*T1^7*T2^8 + 6826*T1^8*T2^8 + 2590*T1^9*T2^8 - 
     2811*T1^10*T2^8 + 466*T1^11*T2^8 + 340*T1^12*T2^8 - 434*T1^3*T2^9 + 
     466*T1^4*T2^9 + 1618*T1^5*T2^9 - 5032*T1^6*T2^9 + 2590*T1^7*T2^9 + 
     2590*T1^8*T2^9 - 5032*T1^9*T2^9 + 1618*T1^10*T2^9 + 466*T1^11*T2^9 - 
     434*T1^12*T2^9 + 340*T1^4*T2^10 - 952*T1^5*T2^10 + 667*T1^6*T2^10 + 
     1618*T1^7*T2^10 - 2811*T1^8*T2^10 + 1618*T1^9*T2^10 + 667*T1^10*T2^10 - 
     952*T1^11*T2^10 + 340*T1^12*T2^10 - 147*T1^5*T2^11 + 576*T1^6*T2^11 - 
     952*T1^7*T2^11 + 466*T1^8*T2^11 + 466*T1^9*T2^11 - 952*T1^10*T2^11 + 
     576*T1^11*T2^11 - 147*T1^12*T2^11 + 30*T1^6*T2^12 - 147*T1^7*T2^12 + 
     340*T1^8*T2^12 - 434*T1^9*T2^12 + 340*T1^10*T2^12 - 147*T1^11*T2^12 + 
     30*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, Alternating, 115] -> 
  {-(((-3 + 4*T - 3*T^2 + T^3)*(-1 + 3*T - 4*T^2 + 3*T^3))/T^3), 
   -((3 - 14*T1 + 33*T1^2 - 47*T1^3 + 33*T1^4 - 14*T1^5 + 3*T1^6 - 14*T2 + 
      52*T1*T2 - 88*T1^2*T2 + 63*T1^3*T2 + 63*T1^4*T2 - 88*T1^5*T2 + 
      52*T1^6*T2 - 14*T1^7*T2 + 33*T2^2 - 88*T1*T2^2 + 95*T1^2*T2^2 - 
      22*T1^3*T2^2 - 157*T1^4*T2^2 - 22*T1^5*T2^2 + 95*T1^6*T2^2 - 
      88*T1^7*T2^2 + 33*T1^8*T2^2 - 47*T2^3 + 63*T1*T2^3 - 22*T1^2*T2^3 + 
      34*T1^3*T2^3 + 169*T1^4*T2^3 + 169*T1^5*T2^3 + 34*T1^6*T2^3 - 
      22*T1^7*T2^3 + 63*T1^8*T2^3 - 47*T1^9*T2^3 + 33*T2^4 + 63*T1*T2^4 - 
      157*T1^2*T2^4 + 169*T1^3*T2^4 - 731*T1^4*T2^4 + 329*T1^5*T2^4 - 
      731*T1^6*T2^4 + 169*T1^7*T2^4 - 157*T1^8*T2^4 + 63*T1^9*T2^4 + 
      33*T1^10*T2^4 - 14*T2^5 - 88*T1*T2^5 - 22*T1^2*T2^5 + 169*T1^3*T2^5 + 
      329*T1^4*T2^5 + 384*T1^5*T2^5 + 384*T1^6*T2^5 + 329*T1^7*T2^5 + 
      169*T1^8*T2^5 - 22*T1^9*T2^5 - 88*T1^10*T2^5 - 14*T1^11*T2^5 + 3*T2^6 + 
      52*T1*T2^6 + 95*T1^2*T2^6 + 34*T1^3*T2^6 - 731*T1^4*T2^6 + 
      384*T1^5*T2^6 - 1464*T1^6*T2^6 + 384*T1^7*T2^6 - 731*T1^8*T2^6 + 
      34*T1^9*T2^6 + 95*T1^10*T2^6 + 52*T1^11*T2^6 + 3*T1^12*T2^6 - 
      14*T1*T2^7 - 88*T1^2*T2^7 - 22*T1^3*T2^7 + 169*T1^4*T2^7 + 
      329*T1^5*T2^7 + 384*T1^6*T2^7 + 384*T1^7*T2^7 + 329*T1^8*T2^7 + 
      169*T1^9*T2^7 - 22*T1^10*T2^7 - 88*T1^11*T2^7 - 14*T1^12*T2^7 + 
      33*T1^2*T2^8 + 63*T1^3*T2^8 - 157*T1^4*T2^8 + 169*T1^5*T2^8 - 
      731*T1^6*T2^8 + 329*T1^7*T2^8 - 731*T1^8*T2^8 + 169*T1^9*T2^8 - 
      157*T1^10*T2^8 + 63*T1^11*T2^8 + 33*T1^12*T2^8 - 47*T1^3*T2^9 + 
      63*T1^4*T2^9 - 22*T1^5*T2^9 + 34*T1^6*T2^9 + 169*T1^7*T2^9 + 
      169*T1^8*T2^9 + 34*T1^9*T2^9 - 22*T1^10*T2^9 + 63*T1^11*T2^9 - 
      47*T1^12*T2^9 + 33*T1^4*T2^10 - 88*T1^5*T2^10 + 95*T1^6*T2^10 - 
      22*T1^7*T2^10 - 157*T1^8*T2^10 - 22*T1^9*T2^10 + 95*T1^10*T2^10 - 
      88*T1^11*T2^10 + 33*T1^12*T2^10 - 14*T1^5*T2^11 + 52*T1^6*T2^11 - 
      88*T1^7*T2^11 + 63*T1^8*T2^11 + 63*T1^9*T2^11 - 88*T1^10*T2^11 + 
      52*T1^11*T2^11 - 14*T1^12*T2^11 + 3*T1^6*T2^12 - 14*T1^7*T2^12 + 
      33*T1^8*T2^12 - 47*T1^9*T2^12 + 33*T1^10*T2^12 - 14*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, Alternating, 116] -> 
  {-((3 - 15*T + 31*T^2 - 39*T^3 + 31*T^4 - 15*T^5 + 3*T^6)/T^3), 
   -((57 - 282*T1 + 575*T1^2 - 721*T1^3 + 575*T1^4 - 282*T1^5 + 57*T1^6 - 
      282*T2 + 1116*T1*T2 - 1460*T1^2*T2 + 728*T1^3*T2 + 728*T1^4*T2 - 
      1460*T1^5*T2 + 1116*T1^6*T2 - 282*T1^7*T2 + 575*T2^2 - 1460*T1*T2^2 - 
      486*T1^2*T2^2 + 3989*T1^3*T2^2 - 6116*T1^4*T2^2 + 3989*T1^5*T2^2 - 
      486*T1^6*T2^2 - 1460*T1^7*T2^2 + 575*T1^8*T2^2 - 721*T2^3 + 
      728*T1*T2^3 + 3989*T1^2*T2^3 - 6604*T1^3*T2^3 + 3775*T1^4*T2^3 + 
      3775*T1^5*T2^3 - 6604*T1^6*T2^3 + 3989*T1^7*T2^3 + 728*T1^8*T2^3 - 
      721*T1^9*T2^3 + 575*T2^4 + 728*T1*T2^4 - 6116*T1^2*T2^4 + 
      3775*T1^3*T2^4 + 3331*T1^4*T2^4 - 8963*T1^5*T2^4 + 3331*T1^6*T2^4 + 
      3775*T1^7*T2^4 - 6116*T1^8*T2^4 + 728*T1^9*T2^4 + 575*T1^10*T2^4 - 
      282*T2^5 - 1460*T1*T2^5 + 3989*T1^2*T2^5 + 3775*T1^3*T2^5 - 
      8963*T1^4*T2^5 + 6056*T1^5*T2^5 + 6056*T1^6*T2^5 - 8963*T1^7*T2^5 + 
      3775*T1^8*T2^5 + 3989*T1^9*T2^5 - 1460*T1^10*T2^5 - 282*T1^11*T2^5 + 
      57*T2^6 + 1116*T1*T2^6 - 486*T1^2*T2^6 - 6604*T1^3*T2^6 + 
      3331*T1^4*T2^6 + 6056*T1^5*T2^6 - 13920*T1^6*T2^6 + 6056*T1^7*T2^6 + 
      3331*T1^8*T2^6 - 6604*T1^9*T2^6 - 486*T1^10*T2^6 + 1116*T1^11*T2^6 + 
      57*T1^12*T2^6 - 282*T1*T2^7 - 1460*T1^2*T2^7 + 3989*T1^3*T2^7 + 
      3775*T1^4*T2^7 - 8963*T1^5*T2^7 + 6056*T1^6*T2^7 + 6056*T1^7*T2^7 - 
      8963*T1^8*T2^7 + 3775*T1^9*T2^7 + 3989*T1^10*T2^7 - 1460*T1^11*T2^7 - 
      282*T1^12*T2^7 + 575*T1^2*T2^8 + 728*T1^3*T2^8 - 6116*T1^4*T2^8 + 
      3775*T1^5*T2^8 + 3331*T1^6*T2^8 - 8963*T1^7*T2^8 + 3331*T1^8*T2^8 + 
      3775*T1^9*T2^8 - 6116*T1^10*T2^8 + 728*T1^11*T2^8 + 575*T1^12*T2^8 - 
      721*T1^3*T2^9 + 728*T1^4*T2^9 + 3989*T1^5*T2^9 - 6604*T1^6*T2^9 + 
      3775*T1^7*T2^9 + 3775*T1^8*T2^9 - 6604*T1^9*T2^9 + 3989*T1^10*T2^9 + 
      728*T1^11*T2^9 - 721*T1^12*T2^9 + 575*T1^4*T2^10 - 1460*T1^5*T2^10 - 
      486*T1^6*T2^10 + 3989*T1^7*T2^10 - 6116*T1^8*T2^10 + 3989*T1^9*T2^10 - 
      486*T1^10*T2^10 - 1460*T1^11*T2^10 + 575*T1^12*T2^10 - 282*T1^5*T2^11 + 
      1116*T1^6*T2^11 - 1460*T1^7*T2^11 + 728*T1^8*T2^11 + 728*T1^9*T2^11 - 
      1460*T1^10*T2^11 + 1116*T1^11*T2^11 - 282*T1^12*T2^11 + 57*T1^6*T2^12 - 
      282*T1^7*T2^12 + 575*T1^8*T2^12 - 721*T1^9*T2^12 + 575*T1^10*T2^12 - 
      282*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, Alternating, 117] -> 
  {-(((1 - T + T^2)*(2 - 10*T + 15*T^2 - 10*T^3 + 2*T^4))/T^3), 
   -((17 - 101*T1 + 225*T1^2 - 291*T1^3 + 225*T1^4 - 101*T1^5 + 17*T1^6 - 
      101*T2 + 500*T1*T2 - 740*T1^2*T2 + 394*T1^3*T2 + 394*T1^4*T2 - 
      740*T1^5*T2 + 500*T1^6*T2 - 101*T1^7*T2 + 225*T2^2 - 740*T1*T2^2 - 
      314*T1^2*T2^2 + 2664*T1^3*T2^2 - 4200*T1^4*T2^2 + 2664*T1^5*T2^2 - 
      314*T1^6*T2^2 - 740*T1^7*T2^2 + 225*T1^8*T2^2 - 291*T2^3 + 
      394*T1*T2^3 + 2664*T1^2*T2^3 - 5014*T1^3*T2^3 + 3030*T1^4*T2^3 + 
      3030*T1^5*T2^3 - 5014*T1^6*T2^3 + 2664*T1^7*T2^3 + 394*T1^8*T2^3 - 
      291*T1^9*T2^3 + 225*T2^4 + 394*T1*T2^4 - 4200*T1^2*T2^4 + 
      3030*T1^3*T2^4 + 3137*T1^4*T2^4 - 8341*T1^5*T2^4 + 3137*T1^6*T2^4 + 
      3030*T1^7*T2^4 - 4200*T1^8*T2^4 + 394*T1^9*T2^4 + 225*T1^10*T2^4 - 
      101*T2^5 - 740*T1*T2^5 + 2664*T1^2*T2^5 + 3030*T1^3*T2^5 - 
      8341*T1^4*T2^5 + 5850*T1^5*T2^5 + 5850*T1^6*T2^5 - 8341*T1^7*T2^5 + 
      3030*T1^8*T2^5 + 2664*T1^9*T2^5 - 740*T1^10*T2^5 - 101*T1^11*T2^5 + 
      17*T2^6 + 500*T1*T2^6 - 314*T1^2*T2^6 - 5014*T1^3*T2^6 + 
      3137*T1^4*T2^6 + 5850*T1^5*T2^6 - 13728*T1^6*T2^6 + 5850*T1^7*T2^6 + 
      3137*T1^8*T2^6 - 5014*T1^9*T2^6 - 314*T1^10*T2^6 + 500*T1^11*T2^6 + 
      17*T1^12*T2^6 - 101*T1*T2^7 - 740*T1^2*T2^7 + 2664*T1^3*T2^7 + 
      3030*T1^4*T2^7 - 8341*T1^5*T2^7 + 5850*T1^6*T2^7 + 5850*T1^7*T2^7 - 
      8341*T1^8*T2^7 + 3030*T1^9*T2^7 + 2664*T1^10*T2^7 - 740*T1^11*T2^7 - 
      101*T1^12*T2^7 + 225*T1^2*T2^8 + 394*T1^3*T2^8 - 4200*T1^4*T2^8 + 
      3030*T1^5*T2^8 + 3137*T1^6*T2^8 - 8341*T1^7*T2^8 + 3137*T1^8*T2^8 + 
      3030*T1^9*T2^8 - 4200*T1^10*T2^8 + 394*T1^11*T2^8 + 225*T1^12*T2^8 - 
      291*T1^3*T2^9 + 394*T1^4*T2^9 + 2664*T1^5*T2^9 - 5014*T1^6*T2^9 + 
      3030*T1^7*T2^9 + 3030*T1^8*T2^9 - 5014*T1^9*T2^9 + 2664*T1^10*T2^9 + 
      394*T1^11*T2^9 - 291*T1^12*T2^9 + 225*T1^4*T2^10 - 740*T1^5*T2^10 - 
      314*T1^6*T2^10 + 2664*T1^7*T2^10 - 4200*T1^8*T2^10 + 2664*T1^9*T2^10 - 
      314*T1^10*T2^10 - 740*T1^11*T2^10 + 225*T1^12*T2^10 - 101*T1^5*T2^11 + 
      500*T1^6*T2^11 - 740*T1^7*T2^11 + 394*T1^8*T2^11 + 394*T1^9*T2^11 - 
      740*T1^10*T2^11 + 500*T1^11*T2^11 - 101*T1^12*T2^11 + 17*T1^6*T2^12 - 
      101*T1^7*T2^12 + 225*T1^8*T2^12 - 291*T1^9*T2^12 + 225*T1^10*T2^12 - 
      101*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, Alternating, 118] -> 
  {(2 - 10*T + 20*T^2 - 23*T^3 + 20*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (9 - 45*T1 + 90*T1^2 - 103*T1^3 + 90*T1^4 - 45*T1^5 + 9*T1^6 - 45*T2 + 
     180*T1*T2 - 225*T1^2*T2 + 65*T1^3*T2 + 65*T1^4*T2 - 225*T1^5*T2 + 
     180*T1^6*T2 - 45*T1^7*T2 + 90*T2^2 - 225*T1*T2^2 - 135*T1^2*T2^2 + 
     783*T1^3*T2^2 - 813*T1^4*T2^2 + 783*T1^5*T2^2 - 135*T1^6*T2^2 - 
     225*T1^7*T2^2 + 90*T1^8*T2^2 - 103*T2^3 + 65*T1*T2^3 + 783*T1^2*T2^3 - 
     1268*T1^3*T2^3 + 260*T1^4*T2^3 + 260*T1^5*T2^3 - 1268*T1^6*T2^3 + 
     783*T1^7*T2^3 + 65*T1^8*T2^3 - 103*T1^9*T2^3 + 90*T2^4 + 65*T1*T2^4 - 
     813*T1^2*T2^4 + 260*T1^3*T2^4 + 1714*T1^4*T2^4 - 1756*T1^5*T2^4 + 
     1714*T1^6*T2^4 + 260*T1^7*T2^4 - 813*T1^8*T2^4 + 65*T1^9*T2^4 + 
     90*T1^10*T2^4 - 45*T2^5 - 225*T1*T2^5 + 783*T1^2*T2^5 + 260*T1^3*T2^5 - 
     1756*T1^4*T2^5 + 430*T1^5*T2^5 + 430*T1^6*T2^5 - 1756*T1^7*T2^5 + 
     260*T1^8*T2^5 + 783*T1^9*T2^5 - 225*T1^10*T2^5 - 45*T1^11*T2^5 + 
     9*T2^6 + 180*T1*T2^6 - 135*T1^2*T2^6 - 1268*T1^3*T2^6 + 1714*T1^4*T2^6 + 
     430*T1^5*T2^6 - 684*T1^6*T2^6 + 430*T1^7*T2^6 + 1714*T1^8*T2^6 - 
     1268*T1^9*T2^6 - 135*T1^10*T2^6 + 180*T1^11*T2^6 + 9*T1^12*T2^6 - 
     45*T1*T2^7 - 225*T1^2*T2^7 + 783*T1^3*T2^7 + 260*T1^4*T2^7 - 
     1756*T1^5*T2^7 + 430*T1^6*T2^7 + 430*T1^7*T2^7 - 1756*T1^8*T2^7 + 
     260*T1^9*T2^7 + 783*T1^10*T2^7 - 225*T1^11*T2^7 - 45*T1^12*T2^7 + 
     90*T1^2*T2^8 + 65*T1^3*T2^8 - 813*T1^4*T2^8 + 260*T1^5*T2^8 + 
     1714*T1^6*T2^8 - 1756*T1^7*T2^8 + 1714*T1^8*T2^8 + 260*T1^9*T2^8 - 
     813*T1^10*T2^8 + 65*T1^11*T2^8 + 90*T1^12*T2^8 - 103*T1^3*T2^9 + 
     65*T1^4*T2^9 + 783*T1^5*T2^9 - 1268*T1^6*T2^9 + 260*T1^7*T2^9 + 
     260*T1^8*T2^9 - 1268*T1^9*T2^9 + 783*T1^10*T2^9 + 65*T1^11*T2^9 - 
     103*T1^12*T2^9 + 90*T1^4*T2^10 - 225*T1^5*T2^10 - 135*T1^6*T2^10 + 
     783*T1^7*T2^10 - 813*T1^8*T2^10 + 783*T1^9*T2^10 - 135*T1^10*T2^10 - 
     225*T1^11*T2^10 + 90*T1^12*T2^10 - 45*T1^5*T2^11 + 180*T1^6*T2^11 - 
     225*T1^7*T2^11 + 65*T1^8*T2^11 + 65*T1^9*T2^11 - 225*T1^10*T2^11 + 
     180*T1^11*T2^11 - 45*T1^12*T2^11 + 9*T1^6*T2^12 - 45*T1^7*T2^12 + 
     90*T1^8*T2^12 - 103*T1^9*T2^12 + 90*T1^10*T2^12 - 45*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, Alternating, 119] -> 
  {(4 - 19*T + 31*T^2 - 19*T^3 + 4*T^4)/T^2, 
   (16 - 80*T1 + 136*T1^2 - 80*T1^3 + 16*T1^4 - 80*T2 + 320*T1*T2 - 
     280*T1^2*T2 - 280*T1^3*T2 + 320*T1^4*T2 - 80*T1^5*T2 + 136*T2^2 - 
     280*T1*T2^2 - 679*T1^2*T2^2 + 1967*T1^3*T2^2 - 679*T1^4*T2^2 - 
     280*T1^5*T2^2 + 136*T1^6*T2^2 - 80*T2^3 - 280*T1*T2^3 + 1967*T1^2*T2^3 - 
     1952*T1^3*T2^3 - 1952*T1^4*T2^3 + 1967*T1^5*T2^3 - 280*T1^6*T2^3 - 
     80*T1^7*T2^3 + 16*T2^4 + 320*T1*T2^4 - 679*T1^2*T2^4 - 1952*T1^3*T2^4 + 
     5472*T1^4*T2^4 - 1952*T1^5*T2^4 - 679*T1^6*T2^4 + 320*T1^7*T2^4 + 
     16*T1^8*T2^4 - 80*T1*T2^5 - 280*T1^2*T2^5 + 1967*T1^3*T2^5 - 
     1952*T1^4*T2^5 - 1952*T1^5*T2^5 + 1967*T1^6*T2^5 - 280*T1^7*T2^5 - 
     80*T1^8*T2^5 + 136*T1^2*T2^6 - 280*T1^3*T2^6 - 679*T1^4*T2^6 + 
     1967*T1^5*T2^6 - 679*T1^6*T2^6 - 280*T1^7*T2^6 + 136*T1^8*T2^6 - 
     80*T1^3*T2^7 + 320*T1^4*T2^7 - 280*T1^5*T2^7 - 280*T1^6*T2^7 + 
     320*T1^7*T2^7 - 80*T1^8*T2^7 + 16*T1^4*T2^8 - 80*T1^5*T2^8 + 
     136*T1^6*T2^8 - 80*T1^7*T2^8 + 16*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[11, Alternating, 120] -> 
  {-((2 - 12*T + 25*T^2 - 31*T^3 + 25*T^4 - 12*T^5 + 2*T^6)/T^3), 
   (17 - 101*T1 + 207*T1^2 - 255*T1^3 + 207*T1^4 - 101*T1^5 + 17*T1^6 - 
     101*T2 + 500*T1*T2 - 634*T1^2*T2 + 288*T1^3*T2 + 288*T1^4*T2 - 
     634*T1^5*T2 + 500*T1^6*T2 - 101*T1^7*T2 + 207*T2^2 - 634*T1*T2^2 - 
     786*T1^2*T2^2 + 2908*T1^3*T2^2 - 3904*T1^4*T2^2 + 2908*T1^5*T2^2 - 
     786*T1^6*T2^2 - 634*T1^7*T2^2 + 207*T1^8*T2^2 - 255*T2^3 + 288*T1*T2^3 + 
     2908*T1^2*T2^3 - 4204*T1^3*T2^3 + 1980*T1^4*T2^3 + 1980*T1^5*T2^3 - 
     4204*T1^6*T2^3 + 2908*T1^7*T2^3 + 288*T1^8*T2^3 - 255*T1^9*T2^3 + 
     207*T2^4 + 288*T1*T2^4 - 3904*T1^2*T2^4 + 1980*T1^3*T2^4 + 
     2374*T1^4*T2^4 - 4626*T1^5*T2^4 + 2374*T1^6*T2^4 + 1980*T1^7*T2^4 - 
     3904*T1^8*T2^4 + 288*T1^9*T2^4 + 207*T1^10*T2^4 - 101*T2^5 - 
     634*T1*T2^5 + 2908*T1^2*T2^5 + 1980*T1^3*T2^5 - 4626*T1^4*T2^5 + 
     2428*T1^5*T2^5 + 2428*T1^6*T2^5 - 4626*T1^7*T2^5 + 1980*T1^8*T2^5 + 
     2908*T1^9*T2^5 - 634*T1^10*T2^5 - 101*T1^11*T2^5 + 17*T2^6 + 
     500*T1*T2^6 - 786*T1^2*T2^6 - 4204*T1^3*T2^6 + 2374*T1^4*T2^6 + 
     2428*T1^5*T2^6 - 5040*T1^6*T2^6 + 2428*T1^7*T2^6 + 2374*T1^8*T2^6 - 
     4204*T1^9*T2^6 - 786*T1^10*T2^6 + 500*T1^11*T2^6 + 17*T1^12*T2^6 - 
     101*T1*T2^7 - 634*T1^2*T2^7 + 2908*T1^3*T2^7 + 1980*T1^4*T2^7 - 
     4626*T1^5*T2^7 + 2428*T1^6*T2^7 + 2428*T1^7*T2^7 - 4626*T1^8*T2^7 + 
     1980*T1^9*T2^7 + 2908*T1^10*T2^7 - 634*T1^11*T2^7 - 101*T1^12*T2^7 + 
     207*T1^2*T2^8 + 288*T1^3*T2^8 - 3904*T1^4*T2^8 + 1980*T1^5*T2^8 + 
     2374*T1^6*T2^8 - 4626*T1^7*T2^8 + 2374*T1^8*T2^8 + 1980*T1^9*T2^8 - 
     3904*T1^10*T2^8 + 288*T1^11*T2^8 + 207*T1^12*T2^8 - 255*T1^3*T2^9 + 
     288*T1^4*T2^9 + 2908*T1^5*T2^9 - 4204*T1^6*T2^9 + 1980*T1^7*T2^9 + 
     1980*T1^8*T2^9 - 4204*T1^9*T2^9 + 2908*T1^10*T2^9 + 288*T1^11*T2^9 - 
     255*T1^12*T2^9 + 207*T1^4*T2^10 - 634*T1^5*T2^10 - 786*T1^6*T2^10 + 
     2908*T1^7*T2^10 - 3904*T1^8*T2^10 + 2908*T1^9*T2^10 - 786*T1^10*T2^10 - 
     634*T1^11*T2^10 + 207*T1^12*T2^10 - 101*T1^5*T2^11 + 500*T1^6*T2^11 - 
     634*T1^7*T2^11 + 288*T1^8*T2^11 + 288*T1^9*T2^11 - 634*T1^10*T2^11 + 
     500*T1^11*T2^11 - 101*T1^12*T2^11 + 17*T1^6*T2^12 - 101*T1^7*T2^12 + 
     207*T1^8*T2^12 - 255*T1^9*T2^12 + 207*T1^10*T2^12 - 101*T1^11*T2^12 + 
     17*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, Alternating, 121] -> 
  {(1 - 9*T + 29*T^2 - 41*T^3 + 29*T^4 - 9*T^5 + T^6)/T^3, 
   -((1 - 9*T1 + 29*T1^2 - 41*T1^3 + 29*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
      72*T1*T2 - 180*T1^2*T2 + 108*T1^3*T2 + 108*T1^4*T2 - 180*T1^5*T2 + 
      72*T1^6*T2 - 9*T1^7*T2 + 29*T2^2 - 180*T1*T2^2 + 152*T1^2*T2^2 + 
      836*T1^3*T2^2 - 1540*T1^4*T2^2 + 836*T1^5*T2^2 + 152*T1^6*T2^2 - 
      180*T1^7*T2^2 + 29*T1^8*T2^2 - 41*T2^3 + 108*T1*T2^3 + 836*T1^2*T2^3 - 
      3284*T1^3*T2^3 + 2108*T1^4*T2^3 + 2108*T1^5*T2^3 - 3284*T1^6*T2^3 + 
      836*T1^7*T2^3 + 108*T1^8*T2^3 - 41*T1^9*T2^3 + 29*T2^4 + 108*T1*T2^4 - 
      1540*T1^2*T2^4 + 2108*T1^3*T2^4 + 5753*T1^4*T2^4 - 11545*T1^5*T2^4 + 
      5753*T1^6*T2^4 + 2108*T1^7*T2^4 - 1540*T1^8*T2^4 + 108*T1^9*T2^4 + 
      29*T1^10*T2^4 - 9*T2^5 - 180*T1*T2^5 + 836*T1^2*T2^5 + 2108*T1^3*T2^5 - 
      11545*T1^4*T2^5 + 7644*T1^5*T2^5 + 7644*T1^6*T2^5 - 11545*T1^7*T2^5 + 
      2108*T1^8*T2^5 + 836*T1^9*T2^5 - 180*T1^10*T2^5 - 9*T1^11*T2^5 + T2^6 + 
      72*T1*T2^6 + 152*T1^2*T2^6 - 3284*T1^3*T2^6 + 5753*T1^4*T2^6 + 
      7644*T1^5*T2^6 - 17976*T1^6*T2^6 + 7644*T1^7*T2^6 + 5753*T1^8*T2^6 - 
      3284*T1^9*T2^6 + 152*T1^10*T2^6 + 72*T1^11*T2^6 + T1^12*T2^6 - 
      9*T1*T2^7 - 180*T1^2*T2^7 + 836*T1^3*T2^7 + 2108*T1^4*T2^7 - 
      11545*T1^5*T2^7 + 7644*T1^6*T2^7 + 7644*T1^7*T2^7 - 11545*T1^8*T2^7 + 
      2108*T1^9*T2^7 + 836*T1^10*T2^7 - 180*T1^11*T2^7 - 9*T1^12*T2^7 + 
      29*T1^2*T2^8 + 108*T1^3*T2^8 - 1540*T1^4*T2^8 + 2108*T1^5*T2^8 + 
      5753*T1^6*T2^8 - 11545*T1^7*T2^8 + 5753*T1^8*T2^8 + 2108*T1^9*T2^8 - 
      1540*T1^10*T2^8 + 108*T1^11*T2^8 + 29*T1^12*T2^8 - 41*T1^3*T2^9 + 
      108*T1^4*T2^9 + 836*T1^5*T2^9 - 3284*T1^6*T2^9 + 2108*T1^7*T2^9 + 
      2108*T1^8*T2^9 - 3284*T1^9*T2^9 + 836*T1^10*T2^9 + 108*T1^11*T2^9 - 
      41*T1^12*T2^9 + 29*T1^4*T2^10 - 180*T1^5*T2^10 + 152*T1^6*T2^10 + 
      836*T1^7*T2^10 - 1540*T1^8*T2^10 + 836*T1^9*T2^10 + 152*T1^10*T2^10 - 
      180*T1^11*T2^10 + 29*T1^12*T2^10 - 9*T1^5*T2^11 + 72*T1^6*T2^11 - 
      180*T1^7*T2^11 + 108*T1^8*T2^11 + 108*T1^9*T2^11 - 180*T1^10*T2^11 + 
      72*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 
      29*T1^8*T2^12 - 41*T1^9*T2^12 + 29*T1^10*T2^12 - 9*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, Alternating, 122] -> 
  {(2 - 12*T + 30*T^2 - 39*T^3 + 30*T^4 - 12*T^5 + 2*T^6)/T^3, 
   -((9 - 54*T1 + 134*T1^2 - 173*T1^3 + 134*T1^4 - 54*T1^5 + 9*T1^6 - 54*T2 + 
      270*T1*T2 - 480*T1^2*T2 + 234*T1^3*T2 + 234*T1^4*T2 - 480*T1^5*T2 + 
      270*T1^6*T2 - 54*T1^7*T2 + 134*T2^2 - 480*T1*T2^2 + 172*T1^2*T2^2 + 
      1501*T1^3*T2^2 - 2326*T1^4*T2^2 + 1501*T1^5*T2^2 + 172*T1^6*T2^2 - 
      480*T1^7*T2^2 + 134*T1^8*T2^2 - 173*T2^3 + 234*T1*T2^3 + 
      1501*T1^2*T2^3 - 4162*T1^3*T2^3 + 2071*T1^4*T2^3 + 2071*T1^5*T2^3 - 
      4162*T1^6*T2^3 + 1501*T1^7*T2^3 + 234*T1^8*T2^3 - 173*T1^9*T2^3 + 
      134*T2^4 + 234*T1*T2^4 - 2326*T1^2*T2^4 + 2071*T1^3*T2^4 + 
      5871*T1^4*T2^4 - 9707*T1^5*T2^4 + 5871*T1^6*T2^4 + 2071*T1^7*T2^4 - 
      2326*T1^8*T2^4 + 234*T1^9*T2^4 + 134*T1^10*T2^4 - 54*T2^5 - 
      480*T1*T2^5 + 1501*T1^2*T2^5 + 2071*T1^3*T2^5 - 9707*T1^4*T2^5 + 
      4942*T1^5*T2^5 + 4942*T1^6*T2^5 - 9707*T1^7*T2^5 + 2071*T1^8*T2^5 + 
      1501*T1^9*T2^5 - 480*T1^10*T2^5 - 54*T1^11*T2^5 + 9*T2^6 + 
      270*T1*T2^6 + 172*T1^2*T2^6 - 4162*T1^3*T2^6 + 5871*T1^4*T2^6 + 
      4942*T1^5*T2^6 - 10248*T1^6*T2^6 + 4942*T1^7*T2^6 + 5871*T1^8*T2^6 - 
      4162*T1^9*T2^6 + 172*T1^10*T2^6 + 270*T1^11*T2^6 + 9*T1^12*T2^6 - 
      54*T1*T2^7 - 480*T1^2*T2^7 + 1501*T1^3*T2^7 + 2071*T1^4*T2^7 - 
      9707*T1^5*T2^7 + 4942*T1^6*T2^7 + 4942*T1^7*T2^7 - 9707*T1^8*T2^7 + 
      2071*T1^9*T2^7 + 1501*T1^10*T2^7 - 480*T1^11*T2^7 - 54*T1^12*T2^7 + 
      134*T1^2*T2^8 + 234*T1^3*T2^8 - 2326*T1^4*T2^8 + 2071*T1^5*T2^8 + 
      5871*T1^6*T2^8 - 9707*T1^7*T2^8 + 5871*T1^8*T2^8 + 2071*T1^9*T2^8 - 
      2326*T1^10*T2^8 + 234*T1^11*T2^8 + 134*T1^12*T2^8 - 173*T1^3*T2^9 + 
      234*T1^4*T2^9 + 1501*T1^5*T2^9 - 4162*T1^6*T2^9 + 2071*T1^7*T2^9 + 
      2071*T1^8*T2^9 - 4162*T1^9*T2^9 + 1501*T1^10*T2^9 + 234*T1^11*T2^9 - 
      173*T1^12*T2^9 + 134*T1^4*T2^10 - 480*T1^5*T2^10 + 172*T1^6*T2^10 + 
      1501*T1^7*T2^10 - 2326*T1^8*T2^10 + 1501*T1^9*T2^10 + 172*T1^10*T2^10 - 
      480*T1^11*T2^10 + 134*T1^12*T2^10 - 54*T1^5*T2^11 + 270*T1^6*T2^11 - 
      480*T1^7*T2^11 + 234*T1^8*T2^11 + 234*T1^9*T2^11 - 480*T1^10*T2^11 + 
      270*T1^11*T2^11 - 54*T1^12*T2^11 + 9*T1^6*T2^12 - 54*T1^7*T2^12 + 
      134*T1^8*T2^12 - 173*T1^9*T2^12 + 134*T1^10*T2^12 - 54*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, Alternating, 123] -> 
  {(9 - 29*T + 41*T^2 - 29*T^3 + 9*T^4)/T^2, 
   (1728 - 5444*T1 + 7658*T1^2 - 5444*T1^3 + 1728*T1^4 - 5444*T2 + 
     11764*T1*T2 - 7017*T1^2*T2 - 7017*T1^3*T2 + 11764*T1^4*T2 - 
     5444*T1^5*T2 + 7658*T2^2 - 7017*T1*T2^2 - 12973*T1^2*T2^2 + 
     28721*T1^3*T2^2 - 12973*T1^4*T2^2 - 7017*T1^5*T2^2 + 7658*T1^6*T2^2 - 
     5444*T2^3 - 7017*T1*T2^3 + 28721*T1^2*T2^3 - 19892*T1^3*T2^3 - 
     19892*T1^4*T2^3 + 28721*T1^5*T2^3 - 7017*T1^6*T2^3 - 5444*T1^7*T2^3 + 
     1728*T2^4 + 11764*T1*T2^4 - 12973*T1^2*T2^4 - 19892*T1^3*T2^4 + 
     47496*T1^4*T2^4 - 19892*T1^5*T2^4 - 12973*T1^6*T2^4 + 11764*T1^7*T2^4 + 
     1728*T1^8*T2^4 - 5444*T1*T2^5 - 7017*T1^2*T2^5 + 28721*T1^3*T2^5 - 
     19892*T1^4*T2^5 - 19892*T1^5*T2^5 + 28721*T1^6*T2^5 - 7017*T1^7*T2^5 - 
     5444*T1^8*T2^5 + 7658*T1^2*T2^6 - 7017*T1^3*T2^6 - 12973*T1^4*T2^6 + 
     28721*T1^5*T2^6 - 12973*T1^6*T2^6 - 7017*T1^7*T2^6 + 7658*T1^8*T2^6 - 
     5444*T1^3*T2^7 + 11764*T1^4*T2^7 - 7017*T1^5*T2^7 - 7017*T1^6*T2^7 + 
     11764*T1^7*T2^7 - 5444*T1^8*T2^7 + 1728*T1^4*T2^8 - 5444*T1^5*T2^8 + 
     7658*T1^6*T2^8 - 5444*T1^7*T2^8 + 1728*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[11, Alternating, 124] -> 
  {(5 - 18*T + 34*T^2 - 41*T^3 + 34*T^4 - 18*T^5 + 5*T^6)/T^3, 
   (395 - 1385*T1 + 2578*T1^2 - 3089*T1^3 + 2578*T1^4 - 1385*T1^5 + 
     395*T1^6 - 1385*T2 + 3510*T1*T2 - 4260*T1^2*T2 + 1837*T1^3*T2 + 
     1837*T1^4*T2 - 4260*T1^5*T2 + 3510*T1^6*T2 - 1385*T1^7*T2 + 2578*T2^2 - 
     4260*T1*T2^2 + 2213*T1^2*T2^2 + 3223*T1^3*T2^2 - 5421*T1^4*T2^2 + 
     3223*T1^5*T2^2 + 2213*T1^6*T2^2 - 4260*T1^7*T2^2 + 2578*T1^8*T2^2 - 
     3089*T2^3 + 1837*T1*T2^3 + 3223*T1^2*T2^3 - 7622*T1^3*T2^3 + 
     3198*T1^4*T2^3 + 3198*T1^5*T2^3 - 7622*T1^6*T2^3 + 3223*T1^7*T2^3 + 
     1837*T1^8*T2^3 - 3089*T1^9*T2^3 + 2578*T2^4 + 1837*T1*T2^4 - 
     5421*T1^2*T2^4 + 3198*T1^3*T2^4 + 7403*T1^4*T2^4 - 10585*T1^5*T2^4 + 
     7403*T1^6*T2^4 + 3198*T1^7*T2^4 - 5421*T1^8*T2^4 + 1837*T1^9*T2^4 + 
     2578*T1^10*T2^4 - 1385*T2^5 - 4260*T1*T2^5 + 3223*T1^2*T2^5 + 
     3198*T1^3*T2^5 - 10585*T1^4*T2^5 + 3880*T1^5*T2^5 + 3880*T1^6*T2^5 - 
     10585*T1^7*T2^5 + 3198*T1^8*T2^5 + 3223*T1^9*T2^5 - 4260*T1^10*T2^5 - 
     1385*T1^11*T2^5 + 395*T2^6 + 3510*T1*T2^6 + 2213*T1^2*T2^6 - 
     7622*T1^3*T2^6 + 7403*T1^4*T2^6 + 3880*T1^5*T2^6 - 6396*T1^6*T2^6 + 
     3880*T1^7*T2^6 + 7403*T1^8*T2^6 - 7622*T1^9*T2^6 + 2213*T1^10*T2^6 + 
     3510*T1^11*T2^6 + 395*T1^12*T2^6 - 1385*T1*T2^7 - 4260*T1^2*T2^7 + 
     3223*T1^3*T2^7 + 3198*T1^4*T2^7 - 10585*T1^5*T2^7 + 3880*T1^6*T2^7 + 
     3880*T1^7*T2^7 - 10585*T1^8*T2^7 + 3198*T1^9*T2^7 + 3223*T1^10*T2^7 - 
     4260*T1^11*T2^7 - 1385*T1^12*T2^7 + 2578*T1^2*T2^8 + 1837*T1^3*T2^8 - 
     5421*T1^4*T2^8 + 3198*T1^5*T2^8 + 7403*T1^6*T2^8 - 10585*T1^7*T2^8 + 
     7403*T1^8*T2^8 + 3198*T1^9*T2^8 - 5421*T1^10*T2^8 + 1837*T1^11*T2^8 + 
     2578*T1^12*T2^8 - 3089*T1^3*T2^9 + 1837*T1^4*T2^9 + 3223*T1^5*T2^9 - 
     7622*T1^6*T2^9 + 3198*T1^7*T2^9 + 3198*T1^8*T2^9 - 7622*T1^9*T2^9 + 
     3223*T1^10*T2^9 + 1837*T1^11*T2^9 - 3089*T1^12*T2^9 + 2578*T1^4*T2^10 - 
     4260*T1^5*T2^10 + 2213*T1^6*T2^10 + 3223*T1^7*T2^10 - 5421*T1^8*T2^10 + 
     3223*T1^9*T2^10 + 2213*T1^10*T2^10 - 4260*T1^11*T2^10 + 
     2578*T1^12*T2^10 - 1385*T1^5*T2^11 + 3510*T1^6*T2^11 - 4260*T1^7*T2^11 + 
     1837*T1^8*T2^11 + 1837*T1^9*T2^11 - 4260*T1^10*T2^11 + 
     3510*T1^11*T2^11 - 1385*T1^12*T2^11 + 395*T1^6*T2^12 - 1385*T1^7*T2^12 + 
     2578*T1^8*T2^12 - 3089*T1^9*T2^12 + 2578*T1^10*T2^12 - 
     1385*T1^11*T2^12 + 395*T1^12*T2^12)/(T1^6*T2^6)}, 
 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), -((1 - 6*T1 + 19*T1^2 - 38*T1^3 + 47*T1^4 - 38*T1^5 + 19*T1^6 - 
      6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 78*T1^2*T2 + 114*T1^3*T2 - 
      54*T1^4*T2 - 54*T1^5*T2 + 114*T1^6*T2 - 78*T1^7*T2 + 30*T1^8*T2 - 
      6*T1^9*T2 + 19*T2^2 - 78*T1*T2^2 + 164*T1^2*T2^2 - 149*T1^3*T2^2 - 
      129*T1^4*T2^2 + 272*T1^5*T2^2 - 129*T1^6*T2^2 - 149*T1^7*T2^2 + 
      164*T1^8*T2^2 - 78*T1^9*T2^2 + 19*T1^10*T2^2 - 38*T2^3 + 114*T1*T2^3 - 
      149*T1^2*T2^3 - 102*T1^3*T2^3 + 679*T1^4*T2^3 - 354*T1^5*T2^3 - 
      354*T1^6*T2^3 + 679*T1^7*T2^3 - 102*T1^8*T2^3 - 149*T1^9*T2^3 + 
      114*T1^10*T2^3 - 38*T1^11*T2^3 + 47*T2^4 - 54*T1*T2^4 - 129*T1^2*T2^4 + 
      679*T1^3*T2^4 - 1001*T1^4*T2^4 - 850*T1^5*T2^4 + 1745*T1^6*T2^4 - 
      850*T1^7*T2^4 - 1001*T1^8*T2^4 + 679*T1^9*T2^4 - 129*T1^10*T2^4 - 
      54*T1^11*T2^4 + 47*T1^12*T2^4 - 38*T2^5 - 54*T1*T2^5 + 272*T1^2*T2^5 - 
      354*T1^3*T2^5 - 850*T1^4*T2^5 + 3976*T1^5*T2^5 - 1999*T1^6*T2^5 - 
      1999*T1^7*T2^5 + 3976*T1^8*T2^5 - 850*T1^9*T2^5 - 354*T1^10*T2^5 + 
      272*T1^11*T2^5 - 54*T1^12*T2^5 - 38*T1^13*T2^5 + 19*T2^6 + 
      114*T1*T2^6 - 129*T1^2*T2^6 - 354*T1^3*T2^6 + 1745*T1^4*T2^6 - 
      1999*T1^5*T2^6 - 5679*T1^6*T2^6 + 9313*T1^7*T2^6 - 5679*T1^8*T2^6 - 
      1999*T1^9*T2^6 + 1745*T1^10*T2^6 - 354*T1^11*T2^6 - 129*T1^12*T2^6 + 
      114*T1^13*T2^6 + 19*T1^14*T2^6 - 6*T2^7 - 78*T1*T2^7 - 149*T1^2*T2^7 + 
      679*T1^3*T2^7 - 850*T1^4*T2^7 - 1999*T1^5*T2^7 + 9313*T1^6*T2^7 - 
      4694*T1^7*T2^7 - 4694*T1^8*T2^7 + 9313*T1^9*T2^7 - 1999*T1^10*T2^7 - 
      850*T1^11*T2^7 + 679*T1^12*T2^7 - 149*T1^13*T2^7 - 78*T1^14*T2^7 - 
      6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 164*T1^2*T2^8 - 102*T1^3*T2^8 - 
      1001*T1^4*T2^8 + 3976*T1^5*T2^8 - 5679*T1^6*T2^8 - 4694*T1^7*T2^8 + 
      9708*T1^8*T2^8 - 4694*T1^9*T2^8 - 5679*T1^10*T2^8 + 3976*T1^11*T2^8 - 
      1001*T1^12*T2^8 - 102*T1^13*T2^8 + 164*T1^14*T2^8 + 30*T1^15*T2^8 + 
      T1^16*T2^8 - 6*T1*T2^9 - 78*T1^2*T2^9 - 149*T1^3*T2^9 + 679*T1^4*T2^9 - 
      850*T1^5*T2^9 - 1999*T1^6*T2^9 + 9313*T1^7*T2^9 - 4694*T1^8*T2^9 - 
      4694*T1^9*T2^9 + 9313*T1^10*T2^9 - 1999*T1^11*T2^9 - 850*T1^12*T2^9 + 
      679*T1^13*T2^9 - 149*T1^14*T2^9 - 78*T1^15*T2^9 - 6*T1^16*T2^9 + 
      19*T1^2*T2^10 + 114*T1^3*T2^10 - 129*T1^4*T2^10 - 354*T1^5*T2^10 + 
      1745*T1^6*T2^10 - 1999*T1^7*T2^10 - 5679*T1^8*T2^10 + 9313*T1^9*T2^10 - 
      5679*T1^10*T2^10 - 1999*T1^11*T2^10 + 1745*T1^12*T2^10 - 
      354*T1^13*T2^10 - 129*T1^14*T2^10 + 114*T1^15*T2^10 + 19*T1^16*T2^10 - 
      38*T1^3*T2^11 - 54*T1^4*T2^11 + 272*T1^5*T2^11 - 354*T1^6*T2^11 - 
      850*T1^7*T2^11 + 3976*T1^8*T2^11 - 1999*T1^9*T2^11 - 1999*T1^10*T2^11 + 
      3976*T1^11*T2^11 - 850*T1^12*T2^11 - 354*T1^13*T2^11 + 
      272*T1^14*T2^11 - 54*T1^15*T2^11 - 38*T1^16*T2^11 + 47*T1^4*T2^12 - 
      54*T1^5*T2^12 - 129*T1^6*T2^12 + 679*T1^7*T2^12 - 1001*T1^8*T2^12 - 
      850*T1^9*T2^12 + 1745*T1^10*T2^12 - 850*T1^11*T2^12 - 
      1001*T1^12*T2^12 + 679*T1^13*T2^12 - 129*T1^14*T2^12 - 54*T1^15*T2^12 + 
      47*T1^16*T2^12 - 38*T1^5*T2^13 + 114*T1^6*T2^13 - 149*T1^7*T2^13 - 
      102*T1^8*T2^13 + 679*T1^9*T2^13 - 354*T1^10*T2^13 - 354*T1^11*T2^13 + 
      679*T1^12*T2^13 - 102*T1^13*T2^13 - 149*T1^14*T2^13 + 114*T1^15*T2^13 - 
      38*T1^16*T2^13 + 19*T1^6*T2^14 - 78*T1^7*T2^14 + 164*T1^8*T2^14 - 
      149*T1^9*T2^14 - 129*T1^10*T2^14 + 272*T1^11*T2^14 - 129*T1^12*T2^14 - 
      149*T1^13*T2^14 + 164*T1^14*T2^14 - 78*T1^15*T2^14 + 19*T1^16*T2^14 - 
      6*T1^7*T2^15 + 30*T1^8*T2^15 - 78*T1^9*T2^15 + 114*T1^10*T2^15 - 
      54*T1^11*T2^15 - 54*T1^12*T2^15 + 114*T1^13*T2^15 - 78*T1^14*T2^15 + 
      30*T1^15*T2^15 - 6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 
      19*T1^10*T2^16 - 38*T1^11*T2^16 + 47*T1^12*T2^16 - 38*T1^13*T2^16 + 
      19*T1^14*T2^16 - 6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   (2 - 7*T1 + 16*T1^2 - 20*T1^3 + 16*T1^4 - 7*T1^5 + 2*T1^6 - 7*T2 + 
     18*T1*T2 - 36*T1^2*T2 + 16*T1^3*T2 + 16*T1^4*T2 - 36*T1^5*T2 + 
     18*T1^6*T2 - 7*T1^7*T2 + 16*T2^2 - 36*T1*T2^2 + 96*T1^2*T2^2 - 
     84*T1^3*T2^2 + 100*T1^4*T2^2 - 84*T1^5*T2^2 + 96*T1^6*T2^2 - 
     36*T1^7*T2^2 + 16*T1^8*T2^2 - 20*T2^3 + 16*T1*T2^3 - 84*T1^2*T2^3 + 
     10*T1^3*T2^3 - 51*T1^4*T2^3 - 51*T1^5*T2^3 + 10*T1^6*T2^3 - 
     84*T1^7*T2^3 + 16*T1^8*T2^3 - 20*T1^9*T2^3 + 16*T2^4 + 16*T1*T2^4 + 
     100*T1^2*T2^4 - 51*T1^3*T2^4 + 256*T1^4*T2^4 - 114*T1^5*T2^4 + 
     256*T1^6*T2^4 - 51*T1^7*T2^4 + 100*T1^8*T2^4 + 16*T1^9*T2^4 + 
     16*T1^10*T2^4 - 7*T2^5 - 36*T1*T2^5 - 84*T1^2*T2^5 - 51*T1^3*T2^5 - 
     114*T1^4*T2^5 - 150*T1^5*T2^5 - 150*T1^6*T2^5 - 114*T1^7*T2^5 - 
     51*T1^8*T2^5 - 84*T1^9*T2^5 - 36*T1^10*T2^5 - 7*T1^11*T2^5 + 2*T2^6 + 
     18*T1*T2^6 + 96*T1^2*T2^6 + 10*T1^3*T2^6 + 256*T1^4*T2^6 - 
     150*T1^5*T2^6 + 564*T1^6*T2^6 - 150*T1^7*T2^6 + 256*T1^8*T2^6 + 
     10*T1^9*T2^6 + 96*T1^10*T2^6 + 18*T1^11*T2^6 + 2*T1^12*T2^6 - 
     7*T1*T2^7 - 36*T1^2*T2^7 - 84*T1^3*T2^7 - 51*T1^4*T2^7 - 114*T1^5*T2^7 - 
     150*T1^6*T2^7 - 150*T1^7*T2^7 - 114*T1^8*T2^7 - 51*T1^9*T2^7 - 
     84*T1^10*T2^7 - 36*T1^11*T2^7 - 7*T1^12*T2^7 + 16*T1^2*T2^8 + 
     16*T1^3*T2^8 + 100*T1^4*T2^8 - 51*T1^5*T2^8 + 256*T1^6*T2^8 - 
     114*T1^7*T2^8 + 256*T1^8*T2^8 - 51*T1^9*T2^8 + 100*T1^10*T2^8 + 
     16*T1^11*T2^8 + 16*T1^12*T2^8 - 20*T1^3*T2^9 + 16*T1^4*T2^9 - 
     84*T1^5*T2^9 + 10*T1^6*T2^9 - 51*T1^7*T2^9 - 51*T1^8*T2^9 + 
     10*T1^9*T2^9 - 84*T1^10*T2^9 + 16*T1^11*T2^9 - 20*T1^12*T2^9 + 
     16*T1^4*T2^10 - 36*T1^5*T2^10 + 96*T1^6*T2^10 - 84*T1^7*T2^10 + 
     100*T1^8*T2^10 - 84*T1^9*T2^10 + 96*T1^10*T2^10 - 36*T1^11*T2^10 + 
     16*T1^12*T2^10 - 7*T1^5*T2^11 + 18*T1^6*T2^11 - 36*T1^7*T2^11 + 
     16*T1^8*T2^11 + 16*T1^9*T2^11 - 36*T1^10*T2^11 + 18*T1^11*T2^11 - 
     7*T1^12*T2^11 + 2*T1^6*T2^12 - 7*T1^7*T2^12 + 16*T1^8*T2^12 - 
     20*T1^9*T2^12 + 16*T1^10*T2^12 - 7*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   (2 - 12*T1 + 34*T1^2 - 56*T1^3 + 66*T1^4 - 56*T1^5 + 34*T1^6 - 12*T1^7 + 
     2*T1^8 - 12*T2 + 60*T1*T2 - 132*T1^2*T2 + 132*T1^3*T2 - 60*T1^4*T2 - 
     60*T1^5*T2 + 132*T1^6*T2 - 132*T1^7*T2 + 60*T1^8*T2 - 12*T1^9*T2 + 
     34*T2^2 - 132*T1*T2^2 + 178*T1^2*T2^2 + 77*T1^3*T2^2 - 340*T1^4*T2^2 + 
     502*T1^5*T2^2 - 340*T1^6*T2^2 + 77*T1^7*T2^2 + 178*T1^8*T2^2 - 
     132*T1^9*T2^2 + 34*T1^10*T2^2 - 56*T2^3 + 132*T1*T2^3 + 77*T1^2*T2^3 - 
     758*T1^3*T2^3 + 791*T1^4*T2^3 - 426*T1^5*T2^3 - 426*T1^6*T2^3 + 
     791*T1^7*T2^3 - 758*T1^8*T2^3 + 77*T1^9*T2^3 + 132*T1^10*T2^3 - 
     56*T1^11*T2^3 + 66*T2^4 - 60*T1*T2^4 - 340*T1^2*T2^4 + 791*T1^3*T2^4 + 
     519*T1^4*T2^4 - 1642*T1^5*T2^4 + 2527*T1^6*T2^4 - 1642*T1^7*T2^4 + 
     519*T1^8*T2^4 + 791*T1^9*T2^4 - 340*T1^10*T2^4 - 60*T1^11*T2^4 + 
     66*T1^12*T2^4 - 56*T2^5 - 60*T1*T2^5 + 502*T1^2*T2^5 - 426*T1^3*T2^5 - 
     1642*T1^4*T2^5 + 1686*T1^5*T2^5 - 1136*T1^6*T2^5 - 1136*T1^7*T2^5 + 
     1686*T1^8*T2^5 - 1642*T1^9*T2^5 - 426*T1^10*T2^5 + 502*T1^11*T2^5 - 
     60*T1^12*T2^5 - 56*T1^13*T2^5 + 34*T2^6 + 132*T1*T2^6 - 340*T1^2*T2^6 - 
     426*T1^3*T2^6 + 2527*T1^4*T2^6 - 1136*T1^5*T2^6 + 312*T1^6*T2^6 + 
     1236*T1^7*T2^6 + 312*T1^8*T2^6 - 1136*T1^9*T2^6 + 2527*T1^10*T2^6 - 
     426*T1^11*T2^6 - 340*T1^12*T2^6 + 132*T1^13*T2^6 + 34*T1^14*T2^6 - 
     12*T2^7 - 132*T1*T2^7 + 77*T1^2*T2^7 + 791*T1^3*T2^7 - 1642*T1^4*T2^7 - 
     1136*T1^5*T2^7 + 1236*T1^6*T2^7 - 1360*T1^7*T2^7 - 1360*T1^8*T2^7 + 
     1236*T1^9*T2^7 - 1136*T1^10*T2^7 - 1642*T1^11*T2^7 + 791*T1^12*T2^7 + 
     77*T1^13*T2^7 - 132*T1^14*T2^7 - 12*T1^15*T2^7 + 2*T2^8 + 60*T1*T2^8 + 
     178*T1^2*T2^8 - 758*T1^3*T2^8 + 519*T1^4*T2^8 + 1686*T1^5*T2^8 + 
     312*T1^6*T2^8 - 1360*T1^7*T2^8 + 3420*T1^8*T2^8 - 1360*T1^9*T2^8 + 
     312*T1^10*T2^8 + 1686*T1^11*T2^8 + 519*T1^12*T2^8 - 758*T1^13*T2^8 + 
     178*T1^14*T2^8 + 60*T1^15*T2^8 + 2*T1^16*T2^8 - 12*T1*T2^9 - 
     132*T1^2*T2^9 + 77*T1^3*T2^9 + 791*T1^4*T2^9 - 1642*T1^5*T2^9 - 
     1136*T1^6*T2^9 + 1236*T1^7*T2^9 - 1360*T1^8*T2^9 - 1360*T1^9*T2^9 + 
     1236*T1^10*T2^9 - 1136*T1^11*T2^9 - 1642*T1^12*T2^9 + 791*T1^13*T2^9 + 
     77*T1^14*T2^9 - 132*T1^15*T2^9 - 12*T1^16*T2^9 + 34*T1^2*T2^10 + 
     132*T1^3*T2^10 - 340*T1^4*T2^10 - 426*T1^5*T2^10 + 2527*T1^6*T2^10 - 
     1136*T1^7*T2^10 + 312*T1^8*T2^10 + 1236*T1^9*T2^10 + 312*T1^10*T2^10 - 
     1136*T1^11*T2^10 + 2527*T1^12*T2^10 - 426*T1^13*T2^10 - 
     340*T1^14*T2^10 + 132*T1^15*T2^10 + 34*T1^16*T2^10 - 56*T1^3*T2^11 - 
     60*T1^4*T2^11 + 502*T1^5*T2^11 - 426*T1^6*T2^11 - 1642*T1^7*T2^11 + 
     1686*T1^8*T2^11 - 1136*T1^9*T2^11 - 1136*T1^10*T2^11 + 
     1686*T1^11*T2^11 - 1642*T1^12*T2^11 - 426*T1^13*T2^11 + 
     502*T1^14*T2^11 - 60*T1^15*T2^11 - 56*T1^16*T2^11 + 66*T1^4*T2^12 - 
     60*T1^5*T2^12 - 340*T1^6*T2^12 + 791*T1^7*T2^12 + 519*T1^8*T2^12 - 
     1642*T1^9*T2^12 + 2527*T1^10*T2^12 - 1642*T1^11*T2^12 + 
     519*T1^12*T2^12 + 791*T1^13*T2^12 - 340*T1^14*T2^12 - 60*T1^15*T2^12 + 
     66*T1^16*T2^12 - 56*T1^5*T2^13 + 132*T1^6*T2^13 + 77*T1^7*T2^13 - 
     758*T1^8*T2^13 + 791*T1^9*T2^13 - 426*T1^10*T2^13 - 426*T1^11*T2^13 + 
     791*T1^12*T2^13 - 758*T1^13*T2^13 + 77*T1^14*T2^13 + 132*T1^15*T2^13 - 
     56*T1^16*T2^13 + 34*T1^6*T2^14 - 132*T1^7*T2^14 + 178*T1^8*T2^14 + 
     77*T1^9*T2^14 - 340*T1^10*T2^14 + 502*T1^11*T2^14 - 340*T1^12*T2^14 + 
     77*T1^13*T2^14 + 178*T1^14*T2^14 - 132*T1^15*T2^14 + 34*T1^16*T2^14 - 
     12*T1^7*T2^15 + 60*T1^8*T2^15 - 132*T1^9*T2^15 + 132*T1^10*T2^15 - 
     60*T1^11*T2^15 - 60*T1^12*T2^15 + 132*T1^13*T2^15 - 132*T1^14*T2^15 + 
     60*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)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 128] -> 
  {-((1 - 9*T + 31*T^2 - 47*T^3 + 31*T^4 - 9*T^5 + T^6)/T^3), 
   -((7 - 47*T1 + 85*T1^2 - 47*T1^3 + 7*T1^4 - 47*T2 + 244*T1*T2 - 
      224*T1^2*T2 - 224*T1^3*T2 + 244*T1^4*T2 - 47*T1^5*T2 + 85*T2^2 - 
      224*T1*T2^2 - 721*T1^2*T2^2 + 1957*T1^3*T2^2 - 721*T1^4*T2^2 - 
      224*T1^5*T2^2 + 85*T1^6*T2^2 - 47*T2^3 - 224*T1*T2^3 + 1957*T1^2*T2^3 - 
      1960*T1^3*T2^3 - 1960*T1^4*T2^3 + 1957*T1^5*T2^3 - 224*T1^6*T2^3 - 
      47*T1^7*T2^3 + 7*T2^4 + 244*T1*T2^4 - 721*T1^2*T2^4 - 1960*T1^3*T2^4 + 
      5580*T1^4*T2^4 - 1960*T1^5*T2^4 - 721*T1^6*T2^4 + 244*T1^7*T2^4 + 
      7*T1^8*T2^4 - 47*T1*T2^5 - 224*T1^2*T2^5 + 1957*T1^3*T2^5 - 
      1960*T1^4*T2^5 - 1960*T1^5*T2^5 + 1957*T1^6*T2^5 - 224*T1^7*T2^5 - 
      47*T1^8*T2^5 + 85*T1^2*T2^6 - 224*T1^3*T2^6 - 721*T1^4*T2^6 + 
      1957*T1^5*T2^6 - 721*T1^6*T2^6 - 224*T1^7*T2^6 + 85*T1^8*T2^6 - 
      47*T1^3*T2^7 + 244*T1^4*T2^7 - 224*T1^5*T2^7 - 224*T1^6*T2^7 + 
      244*T1^7*T2^7 - 47*T1^8*T2^7 + 7*T1^4*T2^8 - 47*T1^5*T2^8 + 
      85*T1^6*T2^8 - 47*T1^7*T2^8 + 7*T1^8*T2^8)/(T1^4*T2^4))}, 
 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 + 60*T1*T2 - 108*T1^2*T2 + 84*T1^3*T2 - 36*T1^4*T2 - 
      36*T1^5*T2 + 84*T1^6*T2 - 108*T1^7*T2 + 60*T1^8*T2 - 12*T1^9*T2 + 
      30*T2^2 - 108*T1*T2^2 + 46*T1^2*T2^2 + 250*T1^3*T2^2 - 407*T1^4*T2^2 + 
      508*T1^5*T2^2 - 407*T1^6*T2^2 + 250*T1^7*T2^2 + 46*T1^8*T2^2 - 
      108*T1^9*T2^2 + 30*T1^10*T2^2 - 44*T2^3 + 84*T1*T2^3 + 250*T1^2*T2^3 - 
      734*T1^3*T2^3 + 486*T1^4*T2^3 - 253*T1^5*T2^3 - 253*T1^6*T2^3 + 
      486*T1^7*T2^3 - 734*T1^8*T2^3 + 250*T1^9*T2^3 + 84*T1^10*T2^3 - 
      44*T1^11*T2^3 + 50*T2^4 - 36*T1*T2^4 - 407*T1^2*T2^4 + 486*T1^3*T2^4 + 
      640*T1^4*T2^4 - 939*T1^5*T2^4 + 1356*T1^6*T2^4 - 939*T1^7*T2^4 + 
      640*T1^8*T2^4 + 486*T1^9*T2^4 - 407*T1^10*T2^4 - 36*T1^11*T2^4 + 
      50*T1^12*T2^4 - 44*T2^5 - 36*T1*T2^5 + 508*T1^2*T2^5 - 253*T1^3*T2^5 - 
      939*T1^4*T2^5 + 356*T1^5*T2^5 - 397*T1^6*T2^5 - 397*T1^7*T2^5 + 
      356*T1^8*T2^5 - 939*T1^9*T2^5 - 253*T1^10*T2^5 + 508*T1^11*T2^5 - 
      36*T1^12*T2^5 - 44*T1^13*T2^5 + 30*T2^6 + 84*T1*T2^6 - 407*T1^2*T2^6 - 
      253*T1^3*T2^6 + 1356*T1^4*T2^6 - 397*T1^5*T2^6 + 879*T1^6*T2^6 - 
      337*T1^7*T2^6 + 879*T1^8*T2^6 - 397*T1^9*T2^6 + 1356*T1^10*T2^6 - 
      253*T1^11*T2^6 - 407*T1^12*T2^6 + 84*T1^13*T2^6 + 30*T1^14*T2^6 - 
      12*T2^7 - 108*T1*T2^7 + 250*T1^2*T2^7 + 486*T1^3*T2^7 - 939*T1^4*T2^7 - 
      397*T1^5*T2^7 - 337*T1^6*T2^7 - 288*T1^7*T2^7 - 288*T1^8*T2^7 - 
      337*T1^9*T2^7 - 397*T1^10*T2^7 - 939*T1^11*T2^7 + 486*T1^12*T2^7 + 
      250*T1^13*T2^7 - 108*T1^14*T2^7 - 12*T1^15*T2^7 + 2*T2^8 + 60*T1*T2^8 + 
      46*T1^2*T2^8 - 734*T1^3*T2^8 + 640*T1^4*T2^8 + 356*T1^5*T2^8 + 
      879*T1^6*T2^8 - 288*T1^7*T2^8 + 924*T1^8*T2^8 - 288*T1^9*T2^8 + 
      879*T1^10*T2^8 + 356*T1^11*T2^8 + 640*T1^12*T2^8 - 734*T1^13*T2^8 + 
      46*T1^14*T2^8 + 60*T1^15*T2^8 + 2*T1^16*T2^8 - 12*T1*T2^9 - 
      108*T1^2*T2^9 + 250*T1^3*T2^9 + 486*T1^4*T2^9 - 939*T1^5*T2^9 - 
      397*T1^6*T2^9 - 337*T1^7*T2^9 - 288*T1^8*T2^9 - 288*T1^9*T2^9 - 
      337*T1^10*T2^9 - 397*T1^11*T2^9 - 939*T1^12*T2^9 + 486*T1^13*T2^9 + 
      250*T1^14*T2^9 - 108*T1^15*T2^9 - 12*T1^16*T2^9 + 30*T1^2*T2^10 + 
      84*T1^3*T2^10 - 407*T1^4*T2^10 - 253*T1^5*T2^10 + 1356*T1^6*T2^10 - 
      397*T1^7*T2^10 + 879*T1^8*T2^10 - 337*T1^9*T2^10 + 879*T1^10*T2^10 - 
      397*T1^11*T2^10 + 1356*T1^12*T2^10 - 253*T1^13*T2^10 - 
      407*T1^14*T2^10 + 84*T1^15*T2^10 + 30*T1^16*T2^10 - 44*T1^3*T2^11 - 
      36*T1^4*T2^11 + 508*T1^5*T2^11 - 253*T1^6*T2^11 - 939*T1^7*T2^11 + 
      356*T1^8*T2^11 - 397*T1^9*T2^11 - 397*T1^10*T2^11 + 356*T1^11*T2^11 - 
      939*T1^12*T2^11 - 253*T1^13*T2^11 + 508*T1^14*T2^11 - 36*T1^15*T2^11 - 
      44*T1^16*T2^11 + 50*T1^4*T2^12 - 36*T1^5*T2^12 - 407*T1^6*T2^12 + 
      486*T1^7*T2^12 + 640*T1^8*T2^12 - 939*T1^9*T2^12 + 1356*T1^10*T2^12 - 
      939*T1^11*T2^12 + 640*T1^12*T2^12 + 486*T1^13*T2^12 - 407*T1^14*T2^12 - 
      36*T1^15*T2^12 + 50*T1^16*T2^12 - 44*T1^5*T2^13 + 84*T1^6*T2^13 + 
      250*T1^7*T2^13 - 734*T1^8*T2^13 + 486*T1^9*T2^13 - 253*T1^10*T2^13 - 
      253*T1^11*T2^13 + 486*T1^12*T2^13 - 734*T1^13*T2^13 + 250*T1^14*T2^13 + 
      84*T1^15*T2^13 - 44*T1^16*T2^13 + 30*T1^6*T2^14 - 108*T1^7*T2^14 + 
      46*T1^8*T2^14 + 250*T1^9*T2^14 - 407*T1^10*T2^14 + 508*T1^11*T2^14 - 
      407*T1^12*T2^14 + 250*T1^13*T2^14 + 46*T1^14*T2^14 - 108*T1^15*T2^14 + 
      30*T1^16*T2^14 - 12*T1^7*T2^15 + 60*T1^8*T2^15 - 108*T1^9*T2^15 + 
      84*T1^10*T2^15 - 36*T1^11*T2^15 - 36*T1^12*T2^15 + 84*T1^13*T2^15 - 
      108*T1^14*T2^15 + 60*T1^15*T2^15 - 12*T1^16*T2^15 + 2*T1^8*T2^16 - 
      12*T1^9*T2^16 + 30*T1^10*T2^16 - 44*T1^11*T2^16 + 50*T1^12*T2^16 - 
      44*T1^13*T2^16 + 30*T1^14*T2^16 - 12*T1^15*T2^16 + 2*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[11, Alternating, 130] -> 
  {((1 - T + T^2)*(2 - 10*T + 17*T^2 - 10*T^3 + 2*T^4))/T^3, 
   -((9 - 54*T1 + 130*T1^2 - 165*T1^3 + 130*T1^4 - 54*T1^5 + 9*T1^6 - 54*T2 + 
      270*T1*T2 - 456*T1^2*T2 + 210*T1^3*T2 + 210*T1^4*T2 - 456*T1^5*T2 + 
      270*T1^6*T2 - 54*T1^7*T2 + 130*T2^2 - 456*T1*T2^2 + 58*T1^2*T2^2 + 
      1541*T1^3*T2^2 - 2224*T1^4*T2^2 + 1541*T1^5*T2^2 + 58*T1^6*T2^2 - 
      456*T1^7*T2^2 + 130*T1^8*T2^2 - 165*T2^3 + 210*T1*T2^3 + 
      1541*T1^2*T2^3 - 3800*T1^3*T2^3 + 1707*T1^4*T2^3 + 1707*T1^5*T2^3 - 
      3800*T1^6*T2^3 + 1541*T1^7*T2^3 + 210*T1^8*T2^3 - 165*T1^9*T2^3 + 
      130*T2^4 + 210*T1*T2^4 - 2224*T1^2*T2^4 + 1707*T1^3*T2^4 + 
      5145*T1^4*T2^4 - 7817*T1^5*T2^4 + 5145*T1^6*T2^4 + 1707*T1^7*T2^4 - 
      2224*T1^8*T2^4 + 210*T1^9*T2^4 + 130*T1^10*T2^4 - 54*T2^5 - 
      456*T1*T2^5 + 1541*T1^2*T2^5 + 1707*T1^3*T2^5 - 7817*T1^4*T2^5 + 
      3484*T1^5*T2^5 + 3484*T1^6*T2^5 - 7817*T1^7*T2^5 + 1707*T1^8*T2^5 + 
      1541*T1^9*T2^5 - 456*T1^10*T2^5 - 54*T1^11*T2^5 + 9*T2^6 + 
      270*T1*T2^6 + 58*T1^2*T2^6 - 3800*T1^3*T2^6 + 5145*T1^4*T2^6 + 
      3484*T1^5*T2^6 - 6696*T1^6*T2^6 + 3484*T1^7*T2^6 + 5145*T1^8*T2^6 - 
      3800*T1^9*T2^6 + 58*T1^10*T2^6 + 270*T1^11*T2^6 + 9*T1^12*T2^6 - 
      54*T1*T2^7 - 456*T1^2*T2^7 + 1541*T1^3*T2^7 + 1707*T1^4*T2^7 - 
      7817*T1^5*T2^7 + 3484*T1^6*T2^7 + 3484*T1^7*T2^7 - 7817*T1^8*T2^7 + 
      1707*T1^9*T2^7 + 1541*T1^10*T2^7 - 456*T1^11*T2^7 - 54*T1^12*T2^7 + 
      130*T1^2*T2^8 + 210*T1^3*T2^8 - 2224*T1^4*T2^8 + 1707*T1^5*T2^8 + 
      5145*T1^6*T2^8 - 7817*T1^7*T2^8 + 5145*T1^8*T2^8 + 1707*T1^9*T2^8 - 
      2224*T1^10*T2^8 + 210*T1^11*T2^8 + 130*T1^12*T2^8 - 165*T1^3*T2^9 + 
      210*T1^4*T2^9 + 1541*T1^5*T2^9 - 3800*T1^6*T2^9 + 1707*T1^7*T2^9 + 
      1707*T1^8*T2^9 - 3800*T1^9*T2^9 + 1541*T1^10*T2^9 + 210*T1^11*T2^9 - 
      165*T1^12*T2^9 + 130*T1^4*T2^10 - 456*T1^5*T2^10 + 58*T1^6*T2^10 + 
      1541*T1^7*T2^10 - 2224*T1^8*T2^10 + 1541*T1^9*T2^10 + 58*T1^10*T2^10 - 
      456*T1^11*T2^10 + 130*T1^12*T2^10 - 54*T1^5*T2^11 + 270*T1^6*T2^11 - 
      456*T1^7*T2^11 + 210*T1^8*T2^11 + 210*T1^9*T2^11 - 456*T1^10*T2^11 + 
      270*T1^11*T2^11 - 54*T1^12*T2^11 + 9*T1^6*T2^12 - 54*T1^7*T2^12 + 
      130*T1^8*T2^12 - 165*T1^9*T2^12 + 130*T1^10*T2^12 - 54*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, 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), (1 - 6*T1 + 16*T1^2 - 27*T1^3 + 31*T1^4 - 27*T1^5 + 16*T1^6 - 
     6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 60*T1^2*T2 + 66*T1^3*T2 - 24*T1^4*T2 - 
     24*T1^5*T2 + 66*T1^6*T2 - 60*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 
     16*T2^2 - 60*T1*T2^2 + 55*T1^2*T2^2 + 52*T1^3*T2^2 - 231*T1^4*T2^2 + 
     269*T1^5*T2^2 - 231*T1^6*T2^2 + 52*T1^7*T2^2 + 55*T1^8*T2^2 - 
     60*T1^9*T2^2 + 16*T1^10*T2^2 - 27*T2^3 + 66*T1*T2^3 + 52*T1^2*T2^3 - 
     272*T1^3*T2^3 + 417*T1^4*T2^3 - 118*T1^5*T2^3 - 118*T1^6*T2^3 + 
     417*T1^7*T2^3 - 272*T1^8*T2^3 + 52*T1^9*T2^3 + 66*T1^10*T2^3 - 
     27*T1^11*T2^3 + 31*T2^4 - 24*T1*T2^4 - 231*T1^2*T2^4 + 417*T1^3*T2^4 - 
     331*T1^4*T2^4 - 309*T1^5*T2^4 + 305*T1^6*T2^4 - 309*T1^7*T2^4 - 
     331*T1^8*T2^4 + 417*T1^9*T2^4 - 231*T1^10*T2^4 - 24*T1^11*T2^4 + 
     31*T1^12*T2^4 - 27*T2^5 - 24*T1*T2^5 + 269*T1^2*T2^5 - 118*T1^3*T2^5 - 
     309*T1^4*T2^5 + 954*T1^5*T2^5 - 192*T1^6*T2^5 - 192*T1^7*T2^5 + 
     954*T1^8*T2^5 - 309*T1^9*T2^5 - 118*T1^10*T2^5 + 269*T1^11*T2^5 - 
     24*T1^12*T2^5 - 27*T1^13*T2^5 + 16*T2^6 + 66*T1*T2^6 - 231*T1^2*T2^6 - 
     118*T1^3*T2^6 + 305*T1^4*T2^6 - 192*T1^5*T2^6 - 1428*T1^6*T2^6 + 
     1514*T1^7*T2^6 - 1428*T1^8*T2^6 - 192*T1^9*T2^6 + 305*T1^10*T2^6 - 
     118*T1^11*T2^6 - 231*T1^12*T2^6 + 66*T1^13*T2^6 + 16*T1^14*T2^6 - 
     6*T2^7 - 60*T1*T2^7 + 52*T1^2*T2^7 + 417*T1^3*T2^7 - 309*T1^4*T2^7 - 
     192*T1^5*T2^7 + 1514*T1^6*T2^7 - 390*T1^7*T2^7 - 390*T1^8*T2^7 + 
     1514*T1^9*T2^7 - 192*T1^10*T2^7 - 309*T1^11*T2^7 + 417*T1^12*T2^7 + 
     52*T1^13*T2^7 - 60*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 
     55*T1^2*T2^8 - 272*T1^3*T2^8 - 331*T1^4*T2^8 + 954*T1^5*T2^8 - 
     1428*T1^6*T2^8 - 390*T1^7*T2^8 + 564*T1^8*T2^8 - 390*T1^9*T2^8 - 
     1428*T1^10*T2^8 + 954*T1^11*T2^8 - 331*T1^12*T2^8 - 272*T1^13*T2^8 + 
     55*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 60*T1^2*T2^9 + 
     52*T1^3*T2^9 + 417*T1^4*T2^9 - 309*T1^5*T2^9 - 192*T1^6*T2^9 + 
     1514*T1^7*T2^9 - 390*T1^8*T2^9 - 390*T1^9*T2^9 + 1514*T1^10*T2^9 - 
     192*T1^11*T2^9 - 309*T1^12*T2^9 + 417*T1^13*T2^9 + 52*T1^14*T2^9 - 
     60*T1^15*T2^9 - 6*T1^16*T2^9 + 16*T1^2*T2^10 + 66*T1^3*T2^10 - 
     231*T1^4*T2^10 - 118*T1^5*T2^10 + 305*T1^6*T2^10 - 192*T1^7*T2^10 - 
     1428*T1^8*T2^10 + 1514*T1^9*T2^10 - 1428*T1^10*T2^10 - 192*T1^11*T2^10 + 
     305*T1^12*T2^10 - 118*T1^13*T2^10 - 231*T1^14*T2^10 + 66*T1^15*T2^10 + 
     16*T1^16*T2^10 - 27*T1^3*T2^11 - 24*T1^4*T2^11 + 269*T1^5*T2^11 - 
     118*T1^6*T2^11 - 309*T1^7*T2^11 + 954*T1^8*T2^11 - 192*T1^9*T2^11 - 
     192*T1^10*T2^11 + 954*T1^11*T2^11 - 309*T1^12*T2^11 - 118*T1^13*T2^11 + 
     269*T1^14*T2^11 - 24*T1^15*T2^11 - 27*T1^16*T2^11 + 31*T1^4*T2^12 - 
     24*T1^5*T2^12 - 231*T1^6*T2^12 + 417*T1^7*T2^12 - 331*T1^8*T2^12 - 
     309*T1^9*T2^12 + 305*T1^10*T2^12 - 309*T1^11*T2^12 - 331*T1^12*T2^12 + 
     417*T1^13*T2^12 - 231*T1^14*T2^12 - 24*T1^15*T2^12 + 31*T1^16*T2^12 - 
     27*T1^5*T2^13 + 66*T1^6*T2^13 + 52*T1^7*T2^13 - 272*T1^8*T2^13 + 
     417*T1^9*T2^13 - 118*T1^10*T2^13 - 118*T1^11*T2^13 + 417*T1^12*T2^13 - 
     272*T1^13*T2^13 + 52*T1^14*T2^13 + 66*T1^15*T2^13 - 27*T1^16*T2^13 + 
     16*T1^6*T2^14 - 60*T1^7*T2^14 + 55*T1^8*T2^14 + 52*T1^9*T2^14 - 
     231*T1^10*T2^14 + 269*T1^11*T2^14 - 231*T1^12*T2^14 + 52*T1^13*T2^14 + 
     55*T1^14*T2^14 - 60*T1^15*T2^14 + 16*T1^16*T2^14 - 6*T1^7*T2^15 + 
     30*T1^8*T2^15 - 60*T1^9*T2^15 + 66*T1^10*T2^15 - 24*T1^11*T2^15 - 
     24*T1^12*T2^15 + 66*T1^13*T2^15 - 60*T1^14*T2^15 + 30*T1^15*T2^15 - 
     6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 16*T1^10*T2^16 - 
     27*T1^11*T2^16 + 31*T1^12*T2^16 - 27*T1^13*T2^16 + 16*T1^14*T2^16 - 
     6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 132] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 3*T + T^2)*(1 - T + T^2))/T^3, 
   (9 - 57*T1 + 138*T1^2 - 175*T1^3 + 138*T1^4 - 57*T1^5 + 9*T1^6 - 57*T2 + 
     304*T1*T2 - 513*T1^2*T2 + 235*T1^3*T2 + 235*T1^4*T2 - 513*T1^5*T2 + 
     304*T1^6*T2 - 57*T1^7*T2 + 138*T2^2 - 513*T1*T2^2 - 29*T1^2*T2^2 + 
     1972*T1^3*T2^2 - 2807*T1^4*T2^2 + 1972*T1^5*T2^2 - 29*T1^6*T2^2 - 
     513*T1^7*T2^2 + 138*T1^8*T2^2 - 175*T2^3 + 235*T1*T2^3 + 
     1972*T1^2*T2^3 - 4680*T1^3*T2^3 + 2147*T1^4*T2^3 + 2147*T1^5*T2^3 - 
     4680*T1^6*T2^3 + 1972*T1^7*T2^3 + 235*T1^8*T2^3 - 175*T1^9*T2^3 + 
     138*T2^4 + 235*T1*T2^4 - 2807*T1^2*T2^4 + 2147*T1^3*T2^4 + 
     6197*T1^4*T2^4 - 9815*T1^5*T2^4 + 6197*T1^6*T2^4 + 2147*T1^7*T2^4 - 
     2807*T1^8*T2^4 + 235*T1^9*T2^4 + 138*T1^10*T2^4 - 57*T2^5 - 
     513*T1*T2^5 + 1972*T1^2*T2^5 + 2147*T1^3*T2^5 - 9815*T1^4*T2^5 + 
     4818*T1^5*T2^5 + 4818*T1^6*T2^5 - 9815*T1^7*T2^5 + 2147*T1^8*T2^5 + 
     1972*T1^9*T2^5 - 513*T1^10*T2^5 - 57*T1^11*T2^5 + 9*T2^6 + 304*T1*T2^6 - 
     29*T1^2*T2^6 - 4680*T1^3*T2^6 + 6197*T1^4*T2^6 + 4818*T1^5*T2^6 - 
     9996*T1^6*T2^6 + 4818*T1^7*T2^6 + 6197*T1^8*T2^6 - 4680*T1^9*T2^6 - 
     29*T1^10*T2^6 + 304*T1^11*T2^6 + 9*T1^12*T2^6 - 57*T1*T2^7 - 
     513*T1^2*T2^7 + 1972*T1^3*T2^7 + 2147*T1^4*T2^7 - 9815*T1^5*T2^7 + 
     4818*T1^6*T2^7 + 4818*T1^7*T2^7 - 9815*T1^8*T2^7 + 2147*T1^9*T2^7 + 
     1972*T1^10*T2^7 - 513*T1^11*T2^7 - 57*T1^12*T2^7 + 138*T1^2*T2^8 + 
     235*T1^3*T2^8 - 2807*T1^4*T2^8 + 2147*T1^5*T2^8 + 6197*T1^6*T2^8 - 
     9815*T1^7*T2^8 + 6197*T1^8*T2^8 + 2147*T1^9*T2^8 - 2807*T1^10*T2^8 + 
     235*T1^11*T2^8 + 138*T1^12*T2^8 - 175*T1^3*T2^9 + 235*T1^4*T2^9 + 
     1972*T1^5*T2^9 - 4680*T1^6*T2^9 + 2147*T1^7*T2^9 + 2147*T1^8*T2^9 - 
     4680*T1^9*T2^9 + 1972*T1^10*T2^9 + 235*T1^11*T2^9 - 175*T1^12*T2^9 + 
     138*T1^4*T2^10 - 513*T1^5*T2^10 - 29*T1^6*T2^10 + 1972*T1^7*T2^10 - 
     2807*T1^8*T2^10 + 1972*T1^9*T2^10 - 29*T1^10*T2^10 - 513*T1^11*T2^10 + 
     138*T1^12*T2^10 - 57*T1^5*T2^11 + 304*T1^6*T2^11 - 513*T1^7*T2^11 + 
     235*T1^8*T2^11 + 235*T1^9*T2^11 - 513*T1^10*T2^11 + 304*T1^11*T2^11 - 
     57*T1^12*T2^11 + 9*T1^6*T2^12 - 57*T1^7*T2^12 + 138*T1^8*T2^12 - 
     175*T1^9*T2^12 + 138*T1^10*T2^12 - 57*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 133] -> 
  {-((5 - 20*T + 29*T^2 - 20*T^3 + 5*T^4)/T^2), 
   -((165 - 660*T1 + 949*T1^2 - 660*T1^3 + 165*T1^4 - 660*T2 + 1986*T1*T2 - 
      1164*T1^2*T2 - 1164*T1^3*T2 + 1986*T1^4*T2 - 660*T1^5*T2 + 949*T2^2 - 
      1164*T1*T2^2 - 4169*T1^2*T2^2 + 7691*T1^3*T2^2 - 4169*T1^4*T2^2 - 
      1164*T1^5*T2^2 + 949*T1^6*T2^2 - 660*T2^3 - 1164*T1*T2^3 + 
      7691*T1^2*T2^3 - 4844*T1^3*T2^3 - 4844*T1^4*T2^3 + 7691*T1^5*T2^3 - 
      1164*T1^6*T2^3 - 660*T1^7*T2^3 + 165*T2^4 + 1986*T1*T2^4 - 
      4169*T1^2*T2^4 - 4844*T1^3*T2^4 + 11220*T1^4*T2^4 - 4844*T1^5*T2^4 - 
      4169*T1^6*T2^4 + 1986*T1^7*T2^4 + 165*T1^8*T2^4 - 660*T1*T2^5 - 
      1164*T1^2*T2^5 + 7691*T1^3*T2^5 - 4844*T1^4*T2^5 - 4844*T1^5*T2^5 + 
      7691*T1^6*T2^5 - 1164*T1^7*T2^5 - 660*T1^8*T2^5 + 949*T1^2*T2^6 - 
      1164*T1^3*T2^6 - 4169*T1^4*T2^6 + 7691*T1^5*T2^6 - 4169*T1^6*T2^6 - 
      1164*T1^7*T2^6 + 949*T1^8*T2^6 - 660*T1^3*T2^7 + 1986*T1^4*T2^7 - 
      1164*T1^5*T2^7 - 1164*T1^6*T2^7 + 1986*T1^7*T2^7 - 660*T1^8*T2^7 + 
      165*T1^4*T2^8 - 660*T1^5*T2^8 + 949*T1^6*T2^8 - 660*T1^7*T2^8 + 
      165*T1^8*T2^8)/(T1^4*T2^4))}, Knot[11, Alternating, 134] -> 
  {((1 - T + T^2)*(3 - 10*T + 15*T^2 - 10*T^3 + 3*T^4))/T^3, 
   (30 - 128*T1 + 274*T1^2 - 340*T1^3 + 274*T1^4 - 128*T1^5 + 30*T1^6 - 
     128*T2 + 422*T1*T2 - 632*T1^2*T2 + 288*T1^3*T2 + 288*T1^4*T2 - 
     632*T1^5*T2 + 422*T1^6*T2 - 128*T1^7*T2 + 274*T2^2 - 632*T1*T2^2 + 
     453*T1^2*T2^2 + 750*T1^3*T2^2 - 1269*T1^4*T2^2 + 750*T1^5*T2^2 + 
     453*T1^6*T2^2 - 632*T1^7*T2^2 + 274*T1^8*T2^2 - 340*T2^3 + 288*T1*T2^3 + 
     750*T1^2*T2^3 - 2308*T1^3*T2^3 + 1037*T1^4*T2^3 + 1037*T1^5*T2^3 - 
     2308*T1^6*T2^3 + 750*T1^7*T2^3 + 288*T1^8*T2^3 - 340*T1^9*T2^3 + 
     274*T2^4 + 288*T1*T2^4 - 1269*T1^2*T2^4 + 1037*T1^3*T2^4 + 
     3113*T1^4*T2^4 - 4657*T1^5*T2^4 + 3113*T1^6*T2^4 + 1037*T1^7*T2^4 - 
     1269*T1^8*T2^4 + 288*T1^9*T2^4 + 274*T1^10*T2^4 - 128*T2^5 - 
     632*T1*T2^5 + 750*T1^2*T2^5 + 1037*T1^3*T2^5 - 4657*T1^4*T2^5 + 
     1998*T1^5*T2^5 + 1998*T1^6*T2^5 - 4657*T1^7*T2^5 + 1037*T1^8*T2^5 + 
     750*T1^9*T2^5 - 632*T1^10*T2^5 - 128*T1^11*T2^5 + 30*T2^6 + 
     422*T1*T2^6 + 453*T1^2*T2^6 - 2308*T1^3*T2^6 + 3113*T1^4*T2^6 + 
     1998*T1^5*T2^6 - 3720*T1^6*T2^6 + 1998*T1^7*T2^6 + 3113*T1^8*T2^6 - 
     2308*T1^9*T2^6 + 453*T1^10*T2^6 + 422*T1^11*T2^6 + 30*T1^12*T2^6 - 
     128*T1*T2^7 - 632*T1^2*T2^7 + 750*T1^3*T2^7 + 1037*T1^4*T2^7 - 
     4657*T1^5*T2^7 + 1998*T1^6*T2^7 + 1998*T1^7*T2^7 - 4657*T1^8*T2^7 + 
     1037*T1^9*T2^7 + 750*T1^10*T2^7 - 632*T1^11*T2^7 - 128*T1^12*T2^7 + 
     274*T1^2*T2^8 + 288*T1^3*T2^8 - 1269*T1^4*T2^8 + 1037*T1^5*T2^8 + 
     3113*T1^6*T2^8 - 4657*T1^7*T2^8 + 3113*T1^8*T2^8 + 1037*T1^9*T2^8 - 
     1269*T1^10*T2^8 + 288*T1^11*T2^8 + 274*T1^12*T2^8 - 340*T1^3*T2^9 + 
     288*T1^4*T2^9 + 750*T1^5*T2^9 - 2308*T1^6*T2^9 + 1037*T1^7*T2^9 + 
     1037*T1^8*T2^9 - 2308*T1^9*T2^9 + 750*T1^10*T2^9 + 288*T1^11*T2^9 - 
     340*T1^12*T2^9 + 274*T1^4*T2^10 - 632*T1^5*T2^10 + 453*T1^6*T2^10 + 
     750*T1^7*T2^10 - 1269*T1^8*T2^10 + 750*T1^9*T2^10 + 453*T1^10*T2^10 - 
     632*T1^11*T2^10 + 274*T1^12*T2^10 - 128*T1^5*T2^11 + 422*T1^6*T2^11 - 
     632*T1^7*T2^11 + 288*T1^8*T2^11 + 288*T1^9*T2^11 - 632*T1^10*T2^11 + 
     422*T1^11*T2^11 - 128*T1^12*T2^11 + 30*T1^6*T2^12 - 128*T1^7*T2^12 + 
     274*T1^8*T2^12 - 340*T1^9*T2^12 + 274*T1^10*T2^12 - 128*T1^11*T2^12 + 
     30*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, Alternating, 135] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^3), 
   -((1 - 6*T1 + 16*T1^2 - 23*T1^3 + 16*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
      30*T1*T2 - 59*T1^2*T2 + 41*T1^3*T2 + 41*T1^4*T2 - 59*T1^5*T2 + 
      30*T1^6*T2 - 6*T1^7*T2 + 16*T2^2 - 59*T1*T2^2 + 48*T1^2*T2^2 + 
      114*T1^3*T2^2 - 306*T1^4*T2^2 + 114*T1^5*T2^2 + 48*T1^6*T2^2 - 
      59*T1^7*T2^2 + 16*T1^8*T2^2 - 23*T2^3 + 41*T1*T2^3 + 114*T1^2*T2^3 - 
      408*T1^3*T2^3 + 396*T1^4*T2^3 + 396*T1^5*T2^3 - 408*T1^6*T2^3 + 
      114*T1^7*T2^3 + 41*T1^8*T2^3 - 23*T1^9*T2^3 + 16*T2^4 + 41*T1*T2^4 - 
      306*T1^2*T2^4 + 396*T1^3*T2^4 + 241*T1^4*T2^4 - 1353*T1^5*T2^4 + 
      241*T1^6*T2^4 + 396*T1^7*T2^4 - 306*T1^8*T2^4 + 41*T1^9*T2^4 + 
      16*T1^10*T2^4 - 6*T2^5 - 59*T1*T2^5 + 114*T1^2*T2^5 + 396*T1^3*T2^5 - 
      1353*T1^4*T2^5 + 1394*T1^5*T2^5 + 1394*T1^6*T2^5 - 1353*T1^7*T2^5 + 
      396*T1^8*T2^5 + 114*T1^9*T2^5 - 59*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
      30*T1*T2^6 + 48*T1^2*T2^6 - 408*T1^3*T2^6 + 241*T1^4*T2^6 + 
      1394*T1^5*T2^6 - 3768*T1^6*T2^6 + 1394*T1^7*T2^6 + 241*T1^8*T2^6 - 
      408*T1^9*T2^6 + 48*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 
      6*T1*T2^7 - 59*T1^2*T2^7 + 114*T1^3*T2^7 + 396*T1^4*T2^7 - 
      1353*T1^5*T2^7 + 1394*T1^6*T2^7 + 1394*T1^7*T2^7 - 1353*T1^8*T2^7 + 
      396*T1^9*T2^7 + 114*T1^10*T2^7 - 59*T1^11*T2^7 - 6*T1^12*T2^7 + 
      16*T1^2*T2^8 + 41*T1^3*T2^8 - 306*T1^4*T2^8 + 396*T1^5*T2^8 + 
      241*T1^6*T2^8 - 1353*T1^7*T2^8 + 241*T1^8*T2^8 + 396*T1^9*T2^8 - 
      306*T1^10*T2^8 + 41*T1^11*T2^8 + 16*T1^12*T2^8 - 23*T1^3*T2^9 + 
      41*T1^4*T2^9 + 114*T1^5*T2^9 - 408*T1^6*T2^9 + 396*T1^7*T2^9 + 
      396*T1^8*T2^9 - 408*T1^9*T2^9 + 114*T1^10*T2^9 + 41*T1^11*T2^9 - 
      23*T1^12*T2^9 + 16*T1^4*T2^10 - 59*T1^5*T2^10 + 48*T1^6*T2^10 + 
      114*T1^7*T2^10 - 306*T1^8*T2^10 + 114*T1^9*T2^10 + 48*T1^10*T2^10 - 
      59*T1^11*T2^10 + 16*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 
      59*T1^7*T2^11 + 41*T1^8*T2^11 + 41*T1^9*T2^11 - 59*T1^10*T2^11 + 
      30*T1^11*T2^11 - 6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 
      16*T1^8*T2^12 - 23*T1^9*T2^12 + 16*T1^10*T2^12 - 6*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, Alternating, 136] -> 
  {(2 - 14*T + 39*T^2 - 53*T^3 + 39*T^4 - 14*T^5 + 2*T^6)/T^3, 
   -((9 - 62*T1 + 170*T1^2 - 229*T1^3 + 170*T1^4 - 62*T1^5 + 9*T1^6 - 62*T2 + 
      366*T1*T2 - 747*T1^2*T2 + 409*T1^3*T2 + 409*T1^4*T2 - 747*T1^5*T2 + 
      366*T1^6*T2 - 62*T1^7*T2 + 170*T2^2 - 747*T1*T2^2 + 437*T1^2*T2^2 + 
      2612*T1^3*T2^2 - 4525*T1^4*T2^2 + 2612*T1^5*T2^2 + 437*T1^6*T2^2 - 
      747*T1^7*T2^2 + 170*T1^8*T2^2 - 229*T2^3 + 409*T1*T2^3 + 
      2612*T1^2*T2^3 - 8590*T1^3*T2^3 + 5038*T1^4*T2^3 + 5038*T1^5*T2^3 - 
      8590*T1^6*T2^3 + 2612*T1^7*T2^3 + 409*T1^8*T2^3 - 229*T1^9*T2^3 + 
      170*T2^4 + 409*T1*T2^4 - 4525*T1^2*T2^4 + 5038*T1^3*T2^4 + 
      13134*T1^4*T2^4 - 24850*T1^5*T2^4 + 13134*T1^6*T2^4 + 5038*T1^7*T2^4 - 
      4525*T1^8*T2^4 + 409*T1^9*T2^4 + 170*T1^10*T2^4 - 62*T2^5 - 
      747*T1*T2^5 + 2612*T1^2*T2^5 + 5038*T1^3*T2^5 - 24850*T1^4*T2^5 + 
      15054*T1^5*T2^5 + 15054*T1^6*T2^5 - 24850*T1^7*T2^5 + 5038*T1^8*T2^5 + 
      2612*T1^9*T2^5 - 747*T1^10*T2^5 - 62*T1^11*T2^5 + 9*T2^6 + 
      366*T1*T2^6 + 437*T1^2*T2^6 - 8590*T1^3*T2^6 + 13134*T1^4*T2^6 + 
      15054*T1^5*T2^6 - 33876*T1^6*T2^6 + 15054*T1^7*T2^6 + 13134*T1^8*T2^6 - 
      8590*T1^9*T2^6 + 437*T1^10*T2^6 + 366*T1^11*T2^6 + 9*T1^12*T2^6 - 
      62*T1*T2^7 - 747*T1^2*T2^7 + 2612*T1^3*T2^7 + 5038*T1^4*T2^7 - 
      24850*T1^5*T2^7 + 15054*T1^6*T2^7 + 15054*T1^7*T2^7 - 24850*T1^8*T2^7 + 
      5038*T1^9*T2^7 + 2612*T1^10*T2^7 - 747*T1^11*T2^7 - 62*T1^12*T2^7 + 
      170*T1^2*T2^8 + 409*T1^3*T2^8 - 4525*T1^4*T2^8 + 5038*T1^5*T2^8 + 
      13134*T1^6*T2^8 - 24850*T1^7*T2^8 + 13134*T1^8*T2^8 + 5038*T1^9*T2^8 - 
      4525*T1^10*T2^8 + 409*T1^11*T2^8 + 170*T1^12*T2^8 - 229*T1^3*T2^9 + 
      409*T1^4*T2^9 + 2612*T1^5*T2^9 - 8590*T1^6*T2^9 + 5038*T1^7*T2^9 + 
      5038*T1^8*T2^9 - 8590*T1^9*T2^9 + 2612*T1^10*T2^9 + 409*T1^11*T2^9 - 
      229*T1^12*T2^9 + 170*T1^4*T2^10 - 747*T1^5*T2^10 + 437*T1^6*T2^10 + 
      2612*T1^7*T2^10 - 4525*T1^8*T2^10 + 2612*T1^9*T2^10 + 437*T1^10*T2^10 - 
      747*T1^11*T2^10 + 170*T1^12*T2^10 - 62*T1^5*T2^11 + 366*T1^6*T2^11 - 
      747*T1^7*T2^11 + 409*T1^8*T2^11 + 409*T1^9*T2^11 - 747*T1^10*T2^11 + 
      366*T1^11*T2^11 - 62*T1^12*T2^11 + 9*T1^6*T2^12 - 62*T1^7*T2^12 + 
      170*T1^8*T2^12 - 229*T1^9*T2^12 + 170*T1^10*T2^12 - 62*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, Alternating, 137] -> 
  {(2 - 12*T + 26*T^2 - 31*T^3 + 26*T^4 - 12*T^5 + 2*T^6)/T^3, 
   -((7 - 42*T1 + 90*T1^2 - 107*T1^3 + 90*T1^4 - 42*T1^5 + 7*T1^6 - 42*T2 + 
      210*T1*T2 - 288*T1^2*T2 + 102*T1^3*T2 + 102*T1^4*T2 - 288*T1^5*T2 + 
      210*T1^6*T2 - 42*T1^7*T2 + 90*T2^2 - 288*T1*T2^2 - 256*T1^2*T2^2 + 
      1311*T1^3*T2^2 - 1538*T1^4*T2^2 + 1311*T1^5*T2^2 - 256*T1^6*T2^2 - 
      288*T1^7*T2^2 + 90*T1^8*T2^2 - 107*T2^3 + 102*T1*T2^3 + 
      1311*T1^2*T2^3 - 2240*T1^3*T2^3 + 699*T1^4*T2^3 + 699*T1^5*T2^3 - 
      2240*T1^6*T2^3 + 1311*T1^7*T2^3 + 102*T1^8*T2^3 - 107*T1^9*T2^3 + 
      90*T2^4 + 102*T1*T2^4 - 1538*T1^2*T2^4 + 699*T1^3*T2^4 + 
      2795*T1^4*T2^4 - 3503*T1^5*T2^4 + 2795*T1^6*T2^4 + 699*T1^7*T2^4 - 
      1538*T1^8*T2^4 + 102*T1^9*T2^4 + 90*T1^10*T2^4 - 42*T2^5 - 
      288*T1*T2^5 + 1311*T1^2*T2^5 + 699*T1^3*T2^5 - 3503*T1^4*T2^5 + 
      1336*T1^5*T2^5 + 1336*T1^6*T2^5 - 3503*T1^7*T2^5 + 699*T1^8*T2^5 + 
      1311*T1^9*T2^5 - 288*T1^10*T2^5 - 42*T1^11*T2^5 + 7*T2^6 + 
      210*T1*T2^6 - 256*T1^2*T2^6 - 2240*T1^3*T2^6 + 2795*T1^4*T2^6 + 
      1336*T1^5*T2^6 - 2688*T1^6*T2^6 + 1336*T1^7*T2^6 + 2795*T1^8*T2^6 - 
      2240*T1^9*T2^6 - 256*T1^10*T2^6 + 210*T1^11*T2^6 + 7*T1^12*T2^6 - 
      42*T1*T2^7 - 288*T1^2*T2^7 + 1311*T1^3*T2^7 + 699*T1^4*T2^7 - 
      3503*T1^5*T2^7 + 1336*T1^6*T2^7 + 1336*T1^7*T2^7 - 3503*T1^8*T2^7 + 
      699*T1^9*T2^7 + 1311*T1^10*T2^7 - 288*T1^11*T2^7 - 42*T1^12*T2^7 + 
      90*T1^2*T2^8 + 102*T1^3*T2^8 - 1538*T1^4*T2^8 + 699*T1^5*T2^8 + 
      2795*T1^6*T2^8 - 3503*T1^7*T2^8 + 2795*T1^8*T2^8 + 699*T1^9*T2^8 - 
      1538*T1^10*T2^8 + 102*T1^11*T2^8 + 90*T1^12*T2^8 - 107*T1^3*T2^9 + 
      102*T1^4*T2^9 + 1311*T1^5*T2^9 - 2240*T1^6*T2^9 + 699*T1^7*T2^9 + 
      699*T1^8*T2^9 - 2240*T1^9*T2^9 + 1311*T1^10*T2^9 + 102*T1^11*T2^9 - 
      107*T1^12*T2^9 + 90*T1^4*T2^10 - 288*T1^5*T2^10 - 256*T1^6*T2^10 + 
      1311*T1^7*T2^10 - 1538*T1^8*T2^10 + 1311*T1^9*T2^10 - 256*T1^10*T2^10 - 
      288*T1^11*T2^10 + 90*T1^12*T2^10 - 42*T1^5*T2^11 + 210*T1^6*T2^11 - 
      288*T1^7*T2^11 + 102*T1^8*T2^11 + 102*T1^9*T2^11 - 288*T1^10*T2^11 + 
      210*T1^11*T2^11 - 42*T1^12*T2^11 + 7*T1^6*T2^12 - 42*T1^7*T2^12 + 
      90*T1^8*T2^12 - 107*T1^9*T2^12 + 90*T1^10*T2^12 - 42*T1^11*T2^12 + 
      7*T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, Alternating, 138] -> 
  {-((2 - 14*T + 38*T^2 - 53*T^3 + 38*T^4 - 14*T^5 + 2*T^6)/T^3), 
   -((1 - 6*T1 + 14*T1^2 - 19*T1^3 + 14*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
      30*T1*T2 - 47*T1^2*T2 + 29*T1^3*T2 + 29*T1^4*T2 - 47*T1^5*T2 + 
      30*T1^6*T2 - 6*T1^7*T2 + 14*T2^2 - 47*T1*T2^2 - 31*T1^2*T2^2 + 
      222*T1^3*T2^2 - 385*T1^4*T2^2 + 222*T1^5*T2^2 - 31*T1^6*T2^2 - 
      47*T1^7*T2^2 + 14*T1^8*T2^2 - 19*T2^3 + 29*T1*T2^3 + 222*T1^2*T2^3 - 
      474*T1^3*T2^3 + 366*T1^4*T2^3 + 366*T1^5*T2^3 - 474*T1^6*T2^3 + 
      222*T1^7*T2^3 + 29*T1^8*T2^3 - 19*T1^9*T2^3 + 14*T2^4 + 29*T1*T2^4 - 
      385*T1^2*T2^4 + 366*T1^3*T2^4 + 249*T1^4*T2^4 - 1151*T1^5*T2^4 + 
      249*T1^6*T2^4 + 366*T1^7*T2^4 - 385*T1^8*T2^4 + 29*T1^9*T2^4 + 
      14*T1^10*T2^4 - 6*T2^5 - 47*T1*T2^5 + 222*T1^2*T2^5 + 366*T1^3*T2^5 - 
      1151*T1^4*T2^5 + 1130*T1^5*T2^5 + 1130*T1^6*T2^5 - 1151*T1^7*T2^5 + 
      366*T1^8*T2^5 + 222*T1^9*T2^5 - 47*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
      30*T1*T2^6 - 31*T1^2*T2^6 - 474*T1^3*T2^6 + 249*T1^4*T2^6 + 
      1130*T1^5*T2^6 - 3036*T1^6*T2^6 + 1130*T1^7*T2^6 + 249*T1^8*T2^6 - 
      474*T1^9*T2^6 - 31*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 
      6*T1*T2^7 - 47*T1^2*T2^7 + 222*T1^3*T2^7 + 366*T1^4*T2^7 - 
      1151*T1^5*T2^7 + 1130*T1^6*T2^7 + 1130*T1^7*T2^7 - 1151*T1^8*T2^7 + 
      366*T1^9*T2^7 + 222*T1^10*T2^7 - 47*T1^11*T2^7 - 6*T1^12*T2^7 + 
      14*T1^2*T2^8 + 29*T1^3*T2^8 - 385*T1^4*T2^8 + 366*T1^5*T2^8 + 
      249*T1^6*T2^8 - 1151*T1^7*T2^8 + 249*T1^8*T2^8 + 366*T1^9*T2^8 - 
      385*T1^10*T2^8 + 29*T1^11*T2^8 + 14*T1^12*T2^8 - 19*T1^3*T2^9 + 
      29*T1^4*T2^9 + 222*T1^5*T2^9 - 474*T1^6*T2^9 + 366*T1^7*T2^9 + 
      366*T1^8*T2^9 - 474*T1^9*T2^9 + 222*T1^10*T2^9 + 29*T1^11*T2^9 - 
      19*T1^12*T2^9 + 14*T1^4*T2^10 - 47*T1^5*T2^10 - 31*T1^6*T2^10 + 
      222*T1^7*T2^10 - 385*T1^8*T2^10 + 222*T1^9*T2^10 - 31*T1^10*T2^10 - 
      47*T1^11*T2^10 + 14*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 
      47*T1^7*T2^11 + 29*T1^8*T2^11 + 29*T1^9*T2^11 - 47*T1^10*T2^11 + 
      30*T1^11*T2^11 - 6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 
      14*T1^8*T2^12 - 19*T1^9*T2^12 + 14*T1^10*T2^12 - 6*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, Alternating, 139] -> 
  {-(((1 - T + T^2)^2*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^4), 
   -((1 - 5*T1 + 12*T1^2 - 20*T1^3 + 23*T1^4 - 20*T1^5 + 12*T1^6 - 5*T1^7 + 
      T1^8 - 5*T2 + 20*T1*T2 - 35*T1^2*T2 + 40*T1^3*T2 - 15*T1^4*T2 - 
      15*T1^5*T2 + 40*T1^6*T2 - 35*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
      12*T2^2 - 35*T1*T2^2 + 31*T1^2*T2^2 - 80*T1^4*T2^2 + 97*T1^5*T2^2 - 
      80*T1^6*T2^2 + 31*T1^8*T2^2 - 35*T1^9*T2^2 + 12*T1^10*T2^2 - 20*T2^3 + 
      40*T1*T2^3 - 40*T1^3*T2^3 + 122*T1^4*T2^3 - 28*T1^5*T2^3 - 
      28*T1^6*T2^3 + 122*T1^7*T2^3 - 40*T1^8*T2^3 + 40*T1^10*T2^3 - 
      20*T1^11*T2^3 + 23*T2^4 - 15*T1*T2^4 - 80*T1^2*T2^4 + 122*T1^3*T2^4 - 
      227*T1^4*T2^4 + 53*T1^5*T2^4 - 101*T1^6*T2^4 + 53*T1^7*T2^4 - 
      227*T1^8*T2^4 + 122*T1^9*T2^4 - 80*T1^10*T2^4 - 15*T1^11*T2^4 + 
      23*T1^12*T2^4 - 20*T2^5 - 15*T1*T2^5 + 97*T1^2*T2^5 - 28*T1^3*T2^5 + 
      53*T1^4*T2^5 + 232*T1^5*T2^5 + 4*T1^6*T2^5 + 4*T1^7*T2^5 + 
      232*T1^8*T2^5 + 53*T1^9*T2^5 - 28*T1^10*T2^5 + 97*T1^11*T2^5 - 
      15*T1^12*T2^5 - 20*T1^13*T2^5 + 12*T2^6 + 40*T1*T2^6 - 80*T1^2*T2^6 - 
      28*T1^3*T2^6 - 101*T1^4*T2^6 + 4*T1^5*T2^6 - 590*T1^6*T2^6 + 
      508*T1^7*T2^6 - 590*T1^8*T2^6 + 4*T1^9*T2^6 - 101*T1^10*T2^6 - 
      28*T1^11*T2^6 - 80*T1^12*T2^6 + 40*T1^13*T2^6 + 12*T1^14*T2^6 - 
      5*T2^7 - 35*T1*T2^7 + 122*T1^3*T2^7 + 53*T1^4*T2^7 + 4*T1^5*T2^7 + 
      508*T1^6*T2^7 - 26*T1^7*T2^7 - 26*T1^8*T2^7 + 508*T1^9*T2^7 + 
      4*T1^10*T2^7 + 53*T1^11*T2^7 + 122*T1^12*T2^7 - 35*T1^14*T2^7 - 
      5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 31*T1^2*T2^8 - 40*T1^3*T2^8 - 
      227*T1^4*T2^8 + 232*T1^5*T2^8 - 590*T1^6*T2^8 - 26*T1^7*T2^8 - 
      144*T1^8*T2^8 - 26*T1^9*T2^8 - 590*T1^10*T2^8 + 232*T1^11*T2^8 - 
      227*T1^12*T2^8 - 40*T1^13*T2^8 + 31*T1^14*T2^8 + 20*T1^15*T2^8 + 
      T1^16*T2^8 - 5*T1*T2^9 - 35*T1^2*T2^9 + 122*T1^4*T2^9 + 53*T1^5*T2^9 + 
      4*T1^6*T2^9 + 508*T1^7*T2^9 - 26*T1^8*T2^9 - 26*T1^9*T2^9 + 
      508*T1^10*T2^9 + 4*T1^11*T2^9 + 53*T1^12*T2^9 + 122*T1^13*T2^9 - 
      35*T1^15*T2^9 - 5*T1^16*T2^9 + 12*T1^2*T2^10 + 40*T1^3*T2^10 - 
      80*T1^4*T2^10 - 28*T1^5*T2^10 - 101*T1^6*T2^10 + 4*T1^7*T2^10 - 
      590*T1^8*T2^10 + 508*T1^9*T2^10 - 590*T1^10*T2^10 + 4*T1^11*T2^10 - 
      101*T1^12*T2^10 - 28*T1^13*T2^10 - 80*T1^14*T2^10 + 40*T1^15*T2^10 + 
      12*T1^16*T2^10 - 20*T1^3*T2^11 - 15*T1^4*T2^11 + 97*T1^5*T2^11 - 
      28*T1^6*T2^11 + 53*T1^7*T2^11 + 232*T1^8*T2^11 + 4*T1^9*T2^11 + 
      4*T1^10*T2^11 + 232*T1^11*T2^11 + 53*T1^12*T2^11 - 28*T1^13*T2^11 + 
      97*T1^14*T2^11 - 15*T1^15*T2^11 - 20*T1^16*T2^11 + 23*T1^4*T2^12 - 
      15*T1^5*T2^12 - 80*T1^6*T2^12 + 122*T1^7*T2^12 - 227*T1^8*T2^12 + 
      53*T1^9*T2^12 - 101*T1^10*T2^12 + 53*T1^11*T2^12 - 227*T1^12*T2^12 + 
      122*T1^13*T2^12 - 80*T1^14*T2^12 - 15*T1^15*T2^12 + 23*T1^16*T2^12 - 
      20*T1^5*T2^13 + 40*T1^6*T2^13 - 40*T1^8*T2^13 + 122*T1^9*T2^13 - 
      28*T1^10*T2^13 - 28*T1^11*T2^13 + 122*T1^12*T2^13 - 40*T1^13*T2^13 + 
      40*T1^15*T2^13 - 20*T1^16*T2^13 + 12*T1^6*T2^14 - 35*T1^7*T2^14 + 
      31*T1^8*T2^14 - 80*T1^10*T2^14 + 97*T1^11*T2^14 - 80*T1^12*T2^14 + 
      31*T1^14*T2^14 - 35*T1^15*T2^14 + 12*T1^16*T2^14 - 5*T1^7*T2^15 + 
      20*T1^8*T2^15 - 35*T1^9*T2^15 + 40*T1^10*T2^15 - 15*T1^11*T2^15 - 
      15*T1^12*T2^15 + 40*T1^13*T2^15 - 35*T1^14*T2^15 + 20*T1^15*T2^15 - 
      5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 12*T1^10*T2^16 - 
      20*T1^11*T2^16 + 23*T1^12*T2^16 - 20*T1^13*T2^16 + 12*T1^14*T2^16 - 
      5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[11, Alternating, 140] -> 
  {-((2 - 8*T + 14*T^2 - 17*T^3 + 14*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((15 - 59*T1 + 103*T1^2 - 125*T1^3 + 103*T1^4 - 59*T1^5 + 15*T1^6 - 
      59*T2 + 172*T1*T2 - 172*T1^2*T2 + 86*T1^3*T2 + 86*T1^4*T2 - 
      172*T1^5*T2 + 172*T1^6*T2 - 59*T1^7*T2 + 103*T2^2 - 172*T1*T2^2 - 
      102*T1^2*T2^2 + 348*T1^3*T2^2 - 540*T1^4*T2^2 + 348*T1^5*T2^2 - 
      102*T1^6*T2^2 - 172*T1^7*T2^2 + 103*T1^8*T2^2 - 125*T2^3 + 86*T1*T2^3 + 
      348*T1^2*T2^3 - 364*T1^3*T2^3 + 258*T1^4*T2^3 + 258*T1^5*T2^3 - 
      364*T1^6*T2^3 + 348*T1^7*T2^3 + 86*T1^8*T2^3 - 125*T1^9*T2^3 + 
      103*T2^4 + 86*T1*T2^4 - 540*T1^2*T2^4 + 258*T1^3*T2^4 - 71*T1^4*T2^4 - 
      327*T1^5*T2^4 - 71*T1^6*T2^4 + 258*T1^7*T2^4 - 540*T1^8*T2^4 + 
      86*T1^9*T2^4 + 103*T1^10*T2^4 - 59*T2^5 - 172*T1*T2^5 + 348*T1^2*T2^5 + 
      258*T1^3*T2^5 - 327*T1^4*T2^5 + 372*T1^5*T2^5 + 372*T1^6*T2^5 - 
      327*T1^7*T2^5 + 258*T1^8*T2^5 + 348*T1^9*T2^5 - 172*T1^10*T2^5 - 
      59*T1^11*T2^5 + 15*T2^6 + 172*T1*T2^6 - 102*T1^2*T2^6 - 364*T1^3*T2^6 - 
      71*T1^4*T2^6 + 372*T1^5*T2^6 - 948*T1^6*T2^6 + 372*T1^7*T2^6 - 
      71*T1^8*T2^6 - 364*T1^9*T2^6 - 102*T1^10*T2^6 + 172*T1^11*T2^6 + 
      15*T1^12*T2^6 - 59*T1*T2^7 - 172*T1^2*T2^7 + 348*T1^3*T2^7 + 
      258*T1^4*T2^7 - 327*T1^5*T2^7 + 372*T1^6*T2^7 + 372*T1^7*T2^7 - 
      327*T1^8*T2^7 + 258*T1^9*T2^7 + 348*T1^10*T2^7 - 172*T1^11*T2^7 - 
      59*T1^12*T2^7 + 103*T1^2*T2^8 + 86*T1^3*T2^8 - 540*T1^4*T2^8 + 
      258*T1^5*T2^8 - 71*T1^6*T2^8 - 327*T1^7*T2^8 - 71*T1^8*T2^8 + 
      258*T1^9*T2^8 - 540*T1^10*T2^8 + 86*T1^11*T2^8 + 103*T1^12*T2^8 - 
      125*T1^3*T2^9 + 86*T1^4*T2^9 + 348*T1^5*T2^9 - 364*T1^6*T2^9 + 
      258*T1^7*T2^9 + 258*T1^8*T2^9 - 364*T1^9*T2^9 + 348*T1^10*T2^9 + 
      86*T1^11*T2^9 - 125*T1^12*T2^9 + 103*T1^4*T2^10 - 172*T1^5*T2^10 - 
      102*T1^6*T2^10 + 348*T1^7*T2^10 - 540*T1^8*T2^10 + 348*T1^9*T2^10 - 
      102*T1^10*T2^10 - 172*T1^11*T2^10 + 103*T1^12*T2^10 - 59*T1^5*T2^11 + 
      172*T1^6*T2^11 - 172*T1^7*T2^11 + 86*T1^8*T2^11 + 86*T1^9*T2^11 - 
      172*T1^10*T2^11 + 172*T1^11*T2^11 - 59*T1^12*T2^11 + 15*T1^6*T2^12 - 
      59*T1^7*T2^12 + 103*T1^8*T2^12 - 125*T1^9*T2^12 + 103*T1^10*T2^12 - 
      59*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, Alternating, 141] -> 
  {(2 - 11*T + 24*T^2 - 29*T^3 + 24*T^4 - 11*T^5 + 2*T^6)/T^3, 
   -((7 - 38*T1 + 82*T1^2 - 99*T1^3 + 82*T1^4 - 38*T1^5 + 7*T1^6 - 38*T2 + 
      168*T1*T2 - 238*T1^2*T2 + 92*T1^3*T2 + 92*T1^4*T2 - 238*T1^5*T2 + 
      168*T1^6*T2 - 38*T1^7*T2 + 82*T2^2 - 238*T1*T2^2 - 84*T1^2*T2^2 + 
      835*T1^3*T2^2 - 1042*T1^4*T2^2 + 835*T1^5*T2^2 - 84*T1^6*T2^2 - 
      238*T1^7*T2^2 + 82*T1^8*T2^2 - 99*T2^3 + 92*T1*T2^3 + 835*T1^2*T2^3 - 
      1598*T1^3*T2^3 + 576*T1^4*T2^3 + 576*T1^5*T2^3 - 1598*T1^6*T2^3 + 
      835*T1^7*T2^3 + 92*T1^8*T2^3 - 99*T1^9*T2^3 + 82*T2^4 + 92*T1*T2^4 - 
      1042*T1^2*T2^4 + 576*T1^3*T2^4 + 2003*T1^4*T2^4 - 2765*T1^5*T2^4 + 
      2003*T1^6*T2^4 + 576*T1^7*T2^4 - 1042*T1^8*T2^4 + 92*T1^9*T2^4 + 
      82*T1^10*T2^4 - 38*T2^5 - 238*T1*T2^5 + 835*T1^2*T2^5 + 576*T1^3*T2^5 - 
      2765*T1^4*T2^5 + 1222*T1^5*T2^5 + 1222*T1^6*T2^5 - 2765*T1^7*T2^5 + 
      576*T1^8*T2^5 + 835*T1^9*T2^5 - 238*T1^10*T2^5 - 38*T1^11*T2^5 + 
      7*T2^6 + 168*T1*T2^6 - 84*T1^2*T2^6 - 1598*T1^3*T2^6 + 2003*T1^4*T2^6 + 
      1222*T1^5*T2^6 - 2580*T1^6*T2^6 + 1222*T1^7*T2^6 + 2003*T1^8*T2^6 - 
      1598*T1^9*T2^6 - 84*T1^10*T2^6 + 168*T1^11*T2^6 + 7*T1^12*T2^6 - 
      38*T1*T2^7 - 238*T1^2*T2^7 + 835*T1^3*T2^7 + 576*T1^4*T2^7 - 
      2765*T1^5*T2^7 + 1222*T1^6*T2^7 + 1222*T1^7*T2^7 - 2765*T1^8*T2^7 + 
      576*T1^9*T2^7 + 835*T1^10*T2^7 - 238*T1^11*T2^7 - 38*T1^12*T2^7 + 
      82*T1^2*T2^8 + 92*T1^3*T2^8 - 1042*T1^4*T2^8 + 576*T1^5*T2^8 + 
      2003*T1^6*T2^8 - 2765*T1^7*T2^8 + 2003*T1^8*T2^8 + 576*T1^9*T2^8 - 
      1042*T1^10*T2^8 + 92*T1^11*T2^8 + 82*T1^12*T2^8 - 99*T1^3*T2^9 + 
      92*T1^4*T2^9 + 835*T1^5*T2^9 - 1598*T1^6*T2^9 + 576*T1^7*T2^9 + 
      576*T1^8*T2^9 - 1598*T1^9*T2^9 + 835*T1^10*T2^9 + 92*T1^11*T2^9 - 
      99*T1^12*T2^9 + 82*T1^4*T2^10 - 238*T1^5*T2^10 - 84*T1^6*T2^10 + 
      835*T1^7*T2^10 - 1042*T1^8*T2^10 + 835*T1^9*T2^10 - 84*T1^10*T2^10 - 
      238*T1^11*T2^10 + 82*T1^12*T2^10 - 38*T1^5*T2^11 + 168*T1^6*T2^11 - 
      238*T1^7*T2^11 + 92*T1^8*T2^11 + 92*T1^9*T2^11 - 238*T1^10*T2^11 + 
      168*T1^11*T2^11 - 38*T1^12*T2^11 + 7*T1^6*T2^12 - 38*T1^7*T2^12 + 
      82*T1^8*T2^12 - 99*T1^9*T2^12 + 82*T1^10*T2^12 - 38*T1^11*T2^12 + 
      7*T1^12*T2^12)/(T1^6*T2^6))}, 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), 
   (3 - 15*T1 + 24*T1^2 - 30*T1^3 + 33*T1^4 - 30*T1^5 + 24*T1^6 - 15*T1^7 + 
     3*T1^8 - 15*T2 + 60*T1*T2 - 45*T1^2*T2 + 30*T1^3*T2 - 15*T1^4*T2 - 
     15*T1^5*T2 + 30*T1^6*T2 - 45*T1^7*T2 + 60*T1^8*T2 - 15*T1^9*T2 + 
     24*T2^2 - 45*T1*T2^2 - 155*T1^2*T2^2 + 236*T1^3*T2^2 - 287*T1^4*T2^2 + 
     335*T1^5*T2^2 - 287*T1^6*T2^2 + 236*T1^7*T2^2 - 155*T1^8*T2^2 - 
     45*T1^9*T2^2 + 24*T1^10*T2^2 - 30*T2^3 + 30*T1*T2^3 + 236*T1^2*T2^3 - 
     112*T1^3*T2^3 + 71*T1^4*T2^3 - 59*T1^5*T2^3 - 59*T1^6*T2^3 + 
     71*T1^7*T2^3 - 112*T1^8*T2^3 + 236*T1^9*T2^3 + 30*T1^10*T2^3 - 
     30*T1^11*T2^3 + 33*T2^4 - 15*T1*T2^4 - 287*T1^2*T2^4 + 71*T1^3*T2^4 - 
     203*T1^4*T2^4 + 270*T1^5*T2^4 - 201*T1^6*T2^4 + 270*T1^7*T2^4 - 
     203*T1^8*T2^4 + 71*T1^9*T2^4 - 287*T1^10*T2^4 - 15*T1^11*T2^4 + 
     33*T1^12*T2^4 - 30*T2^5 - 15*T1*T2^5 + 335*T1^2*T2^5 - 59*T1^3*T2^5 + 
     270*T1^4*T2^5 - 170*T1^5*T2^5 - T1^6*T2^5 - T1^7*T2^5 - 170*T1^8*T2^5 + 
     270*T1^9*T2^5 - 59*T1^10*T2^5 + 335*T1^11*T2^5 - 15*T1^12*T2^5 - 
     30*T1^13*T2^5 + 24*T2^6 + 30*T1*T2^6 - 287*T1^2*T2^6 - 59*T1^3*T2^6 - 
     201*T1^4*T2^6 - T1^5*T2^6 + 73*T1^6*T2^6 + 19*T1^7*T2^6 + 73*T1^8*T2^6 - 
     T1^9*T2^6 - 201*T1^10*T2^6 - 59*T1^11*T2^6 - 287*T1^12*T2^6 + 
     30*T1^13*T2^6 + 24*T1^14*T2^6 - 15*T2^7 - 45*T1*T2^7 + 236*T1^2*T2^7 + 
     71*T1^3*T2^7 + 270*T1^4*T2^7 - T1^5*T2^7 + 19*T1^6*T2^7 - 72*T1^7*T2^7 - 
     72*T1^8*T2^7 + 19*T1^9*T2^7 - T1^10*T2^7 + 270*T1^11*T2^7 + 
     71*T1^12*T2^7 + 236*T1^13*T2^7 - 45*T1^14*T2^7 - 15*T1^15*T2^7 + 
     3*T2^8 + 60*T1*T2^8 - 155*T1^2*T2^8 - 112*T1^3*T2^8 - 203*T1^4*T2^8 - 
     170*T1^5*T2^8 + 73*T1^6*T2^8 - 72*T1^7*T2^8 + 192*T1^8*T2^8 - 
     72*T1^9*T2^8 + 73*T1^10*T2^8 - 170*T1^11*T2^8 - 203*T1^12*T2^8 - 
     112*T1^13*T2^8 - 155*T1^14*T2^8 + 60*T1^15*T2^8 + 3*T1^16*T2^8 - 
     15*T1*T2^9 - 45*T1^2*T2^9 + 236*T1^3*T2^9 + 71*T1^4*T2^9 + 
     270*T1^5*T2^9 - T1^6*T2^9 + 19*T1^7*T2^9 - 72*T1^8*T2^9 - 72*T1^9*T2^9 + 
     19*T1^10*T2^9 - T1^11*T2^9 + 270*T1^12*T2^9 + 71*T1^13*T2^9 + 
     236*T1^14*T2^9 - 45*T1^15*T2^9 - 15*T1^16*T2^9 + 24*T1^2*T2^10 + 
     30*T1^3*T2^10 - 287*T1^4*T2^10 - 59*T1^5*T2^10 - 201*T1^6*T2^10 - 
     T1^7*T2^10 + 73*T1^8*T2^10 + 19*T1^9*T2^10 + 73*T1^10*T2^10 - 
     T1^11*T2^10 - 201*T1^12*T2^10 - 59*T1^13*T2^10 - 287*T1^14*T2^10 + 
     30*T1^15*T2^10 + 24*T1^16*T2^10 - 30*T1^3*T2^11 - 15*T1^4*T2^11 + 
     335*T1^5*T2^11 - 59*T1^6*T2^11 + 270*T1^7*T2^11 - 170*T1^8*T2^11 - 
     T1^9*T2^11 - T1^10*T2^11 - 170*T1^11*T2^11 + 270*T1^12*T2^11 - 
     59*T1^13*T2^11 + 335*T1^14*T2^11 - 15*T1^15*T2^11 - 30*T1^16*T2^11 + 
     33*T1^4*T2^12 - 15*T1^5*T2^12 - 287*T1^6*T2^12 + 71*T1^7*T2^12 - 
     203*T1^8*T2^12 + 270*T1^9*T2^12 - 201*T1^10*T2^12 + 270*T1^11*T2^12 - 
     203*T1^12*T2^12 + 71*T1^13*T2^12 - 287*T1^14*T2^12 - 15*T1^15*T2^12 + 
     33*T1^16*T2^12 - 30*T1^5*T2^13 + 30*T1^6*T2^13 + 236*T1^7*T2^13 - 
     112*T1^8*T2^13 + 71*T1^9*T2^13 - 59*T1^10*T2^13 - 59*T1^11*T2^13 + 
     71*T1^12*T2^13 - 112*T1^13*T2^13 + 236*T1^14*T2^13 + 30*T1^15*T2^13 - 
     30*T1^16*T2^13 + 24*T1^6*T2^14 - 45*T1^7*T2^14 - 155*T1^8*T2^14 + 
     236*T1^9*T2^14 - 287*T1^10*T2^14 + 335*T1^11*T2^14 - 287*T1^12*T2^14 + 
     236*T1^13*T2^14 - 155*T1^14*T2^14 - 45*T1^15*T2^14 + 24*T1^16*T2^14 - 
     15*T1^7*T2^15 + 60*T1^8*T2^15 - 45*T1^9*T2^15 + 30*T1^10*T2^15 - 
     15*T1^11*T2^15 - 15*T1^12*T2^15 + 30*T1^13*T2^15 - 45*T1^14*T2^15 + 
     60*T1^15*T2^15 - 15*T1^16*T2^15 + 3*T1^8*T2^16 - 15*T1^9*T2^16 + 
     24*T1^10*T2^16 - 30*T1^11*T2^16 + 33*T1^12*T2^16 - 30*T1^13*T2^16 + 
     24*T1^14*T2^16 - 15*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 143] -> 
  {-((2 - 11*T + 20*T^2 - 23*T^3 + 20*T^4 - 11*T^5 + 2*T^6)/T^3), 
   (17 - 93*T1 + 168*T1^2 - 193*T1^3 + 168*T1^4 - 93*T1^5 + 17*T1^6 - 93*T2 + 
     416*T1*T2 - 411*T1^2*T2 + 137*T1^3*T2 + 137*T1^4*T2 - 411*T1^5*T2 + 
     416*T1^6*T2 - 93*T1^7*T2 + 168*T2^2 - 411*T1*T2^2 - 917*T1^2*T2^2 + 
     2142*T1^3*T2^2 - 2393*T1^4*T2^2 + 2142*T1^5*T2^2 - 917*T1^6*T2^2 - 
     411*T1^7*T2^2 + 168*T1^8*T2^2 - 193*T2^3 + 137*T1*T2^3 + 
     2142*T1^2*T2^3 - 2134*T1^3*T2^3 + 579*T1^4*T2^3 + 579*T1^5*T2^3 - 
     2134*T1^6*T2^3 + 2142*T1^7*T2^3 + 137*T1^8*T2^3 - 193*T1^9*T2^3 + 
     168*T2^4 + 137*T1*T2^4 - 2393*T1^2*T2^4 + 579*T1^3*T2^4 + 
     1155*T1^4*T2^4 - 1105*T1^5*T2^4 + 1155*T1^6*T2^4 + 579*T1^7*T2^4 - 
     2393*T1^8*T2^4 + 137*T1^9*T2^4 + 168*T1^10*T2^4 - 93*T2^5 - 
     411*T1*T2^5 + 2142*T1^2*T2^5 + 579*T1^3*T2^5 - 1105*T1^4*T2^5 + 
     88*T1^5*T2^5 + 88*T1^6*T2^5 - 1105*T1^7*T2^5 + 579*T1^8*T2^5 + 
     2142*T1^9*T2^5 - 411*T1^10*T2^5 - 93*T1^11*T2^5 + 17*T2^6 + 
     416*T1*T2^6 - 917*T1^2*T2^6 - 2134*T1^3*T2^6 + 1155*T1^4*T2^6 + 
     88*T1^5*T2^6 + 132*T1^6*T2^6 + 88*T1^7*T2^6 + 1155*T1^8*T2^6 - 
     2134*T1^9*T2^6 - 917*T1^10*T2^6 + 416*T1^11*T2^6 + 17*T1^12*T2^6 - 
     93*T1*T2^7 - 411*T1^2*T2^7 + 2142*T1^3*T2^7 + 579*T1^4*T2^7 - 
     1105*T1^5*T2^7 + 88*T1^6*T2^7 + 88*T1^7*T2^7 - 1105*T1^8*T2^7 + 
     579*T1^9*T2^7 + 2142*T1^10*T2^7 - 411*T1^11*T2^7 - 93*T1^12*T2^7 + 
     168*T1^2*T2^8 + 137*T1^3*T2^8 - 2393*T1^4*T2^8 + 579*T1^5*T2^8 + 
     1155*T1^6*T2^8 - 1105*T1^7*T2^8 + 1155*T1^8*T2^8 + 579*T1^9*T2^8 - 
     2393*T1^10*T2^8 + 137*T1^11*T2^8 + 168*T1^12*T2^8 - 193*T1^3*T2^9 + 
     137*T1^4*T2^9 + 2142*T1^5*T2^9 - 2134*T1^6*T2^9 + 579*T1^7*T2^9 + 
     579*T1^8*T2^9 - 2134*T1^9*T2^9 + 2142*T1^10*T2^9 + 137*T1^11*T2^9 - 
     193*T1^12*T2^9 + 168*T1^4*T2^10 - 411*T1^5*T2^10 - 917*T1^6*T2^10 + 
     2142*T1^7*T2^10 - 2393*T1^8*T2^10 + 2142*T1^9*T2^10 - 917*T1^10*T2^10 - 
     411*T1^11*T2^10 + 168*T1^12*T2^10 - 93*T1^5*T2^11 + 416*T1^6*T2^11 - 
     411*T1^7*T2^11 + 137*T1^8*T2^11 + 137*T1^9*T2^11 - 411*T1^10*T2^11 + 
     416*T1^11*T2^11 - 93*T1^12*T2^11 + 17*T1^6*T2^12 - 93*T1^7*T2^12 + 
     168*T1^8*T2^12 - 193*T1^9*T2^12 + 168*T1^10*T2^12 - 93*T1^11*T2^12 + 
     17*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, Alternating, 144] -> 
  {-((2 - 10*T + 16*T^2 - 17*T^3 + 16*T^4 - 10*T^5 + 2*T^6)/T^3), 
   (17 - 85*T1 + 135*T1^2 - 143*T1^3 + 135*T1^4 - 85*T1^5 + 17*T1^6 - 85*T2 + 
     340*T1*T2 - 250*T1^2*T2 + 40*T1^3*T2 + 40*T1^4*T2 - 250*T1^5*T2 + 
     340*T1^6*T2 - 85*T1^7*T2 + 135*T2^2 - 250*T1*T2^2 - 907*T1^2*T2^2 + 
     1571*T1^3*T2^2 - 1457*T1^4*T2^2 + 1571*T1^5*T2^2 - 907*T1^6*T2^2 - 
     250*T1^7*T2^2 + 135*T1^8*T2^2 - 143*T2^3 + 40*T1*T2^3 + 1571*T1^2*T2^3 - 
     1064*T1^3*T2^3 - 2*T1^4*T2^3 - 2*T1^5*T2^3 - 1064*T1^6*T2^3 + 
     1571*T1^7*T2^3 + 40*T1^8*T2^3 - 143*T1^9*T2^3 + 135*T2^4 + 40*T1*T2^4 - 
     1457*T1^2*T2^4 - 2*T1^3*T2^4 + 622*T1^4*T2^4 + 64*T1^5*T2^4 + 
     622*T1^6*T2^4 - 2*T1^7*T2^4 - 1457*T1^8*T2^4 + 40*T1^9*T2^4 + 
     135*T1^10*T2^4 - 85*T2^5 - 250*T1*T2^5 + 1571*T1^2*T2^5 - 2*T1^3*T2^5 + 
     64*T1^4*T2^5 - 504*T1^5*T2^5 - 504*T1^6*T2^5 + 64*T1^7*T2^5 - 
     2*T1^8*T2^5 + 1571*T1^9*T2^5 - 250*T1^10*T2^5 - 85*T1^11*T2^5 + 
     17*T2^6 + 340*T1*T2^6 - 907*T1^2*T2^6 - 1064*T1^3*T2^6 + 622*T1^4*T2^6 - 
     504*T1^5*T2^6 + 1284*T1^6*T2^6 - 504*T1^7*T2^6 + 622*T1^8*T2^6 - 
     1064*T1^9*T2^6 - 907*T1^10*T2^6 + 340*T1^11*T2^6 + 17*T1^12*T2^6 - 
     85*T1*T2^7 - 250*T1^2*T2^7 + 1571*T1^3*T2^7 - 2*T1^4*T2^7 + 
     64*T1^5*T2^7 - 504*T1^6*T2^7 - 504*T1^7*T2^7 + 64*T1^8*T2^7 - 
     2*T1^9*T2^7 + 1571*T1^10*T2^7 - 250*T1^11*T2^7 - 85*T1^12*T2^7 + 
     135*T1^2*T2^8 + 40*T1^3*T2^8 - 1457*T1^4*T2^8 - 2*T1^5*T2^8 + 
     622*T1^6*T2^8 + 64*T1^7*T2^8 + 622*T1^8*T2^8 - 2*T1^9*T2^8 - 
     1457*T1^10*T2^8 + 40*T1^11*T2^8 + 135*T1^12*T2^8 - 143*T1^3*T2^9 + 
     40*T1^4*T2^9 + 1571*T1^5*T2^9 - 1064*T1^6*T2^9 - 2*T1^7*T2^9 - 
     2*T1^8*T2^9 - 1064*T1^9*T2^9 + 1571*T1^10*T2^9 + 40*T1^11*T2^9 - 
     143*T1^12*T2^9 + 135*T1^4*T2^10 - 250*T1^5*T2^10 - 907*T1^6*T2^10 + 
     1571*T1^7*T2^10 - 1457*T1^8*T2^10 + 1571*T1^9*T2^10 - 907*T1^10*T2^10 - 
     250*T1^11*T2^10 + 135*T1^12*T2^10 - 85*T1^5*T2^11 + 340*T1^6*T2^11 - 
     250*T1^7*T2^11 + 40*T1^8*T2^11 + 40*T1^9*T2^11 - 250*T1^10*T2^11 + 
     340*T1^11*T2^11 - 85*T1^12*T2^11 + 17*T1^6*T2^12 - 85*T1^7*T2^12 + 
     135*T1^8*T2^12 - 143*T1^9*T2^12 + 135*T1^10*T2^12 - 85*T1^11*T2^12 + 
     17*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, Alternating, 145] -> 
  {-((4 - 21*T + 33*T^2 - 21*T^3 + 4*T^4)/T^2), 
   (80 - 420*T1 + 656*T1^2 - 420*T1^3 + 80*T1^4 - 420*T2 + 1786*T1*T2 - 
     1240*T1^2*T2 - 1240*T1^3*T2 + 1786*T1^4*T2 - 420*T1^5*T2 + 656*T2^2 - 
     1240*T1*T2^2 - 5411*T1^2*T2^2 + 10953*T1^3*T2^2 - 5411*T1^4*T2^2 - 
     1240*T1^5*T2^2 + 656*T1^6*T2^2 - 420*T2^3 - 1240*T1*T2^3 + 
     10953*T1^2*T2^3 - 8174*T1^3*T2^3 - 8174*T1^4*T2^3 + 10953*T1^5*T2^3 - 
     1240*T1^6*T2^3 - 420*T1^7*T2^3 + 80*T2^4 + 1786*T1*T2^4 - 
     5411*T1^2*T2^4 - 8174*T1^3*T2^4 + 20580*T1^4*T2^4 - 8174*T1^5*T2^4 - 
     5411*T1^6*T2^4 + 1786*T1^7*T2^4 + 80*T1^8*T2^4 - 420*T1*T2^5 - 
     1240*T1^2*T2^5 + 10953*T1^3*T2^5 - 8174*T1^4*T2^5 - 8174*T1^5*T2^5 + 
     10953*T1^6*T2^5 - 1240*T1^7*T2^5 - 420*T1^8*T2^5 + 656*T1^2*T2^6 - 
     1240*T1^3*T2^6 - 5411*T1^4*T2^6 + 10953*T1^5*T2^6 - 5411*T1^6*T2^6 - 
     1240*T1^7*T2^6 + 656*T1^8*T2^6 - 420*T1^3*T2^7 + 1786*T1^4*T2^7 - 
     1240*T1^5*T2^7 - 1240*T1^6*T2^7 + 1786*T1^7*T2^7 - 420*T1^8*T2^7 + 
     80*T1^4*T2^8 - 420*T1^5*T2^8 + 656*T1^6*T2^8 - 420*T1^7*T2^8 + 
     80*T1^8*T2^8)/(T1^4*T2^4)}, 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), 
   (1 - 6*T1 + 15*T1^2 - 25*T1^3 + 29*T1^4 - 25*T1^5 + 15*T1^6 - 6*T1^7 + 
     T1^8 - 6*T2 + 30*T1*T2 - 54*T1^2*T2 + 60*T1^3*T2 - 24*T1^4*T2 - 
     24*T1^5*T2 + 60*T1^6*T2 - 54*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 
     15*T2^2 - 54*T1*T2^2 + 24*T1^2*T2^2 + 76*T1^3*T2^2 - 245*T1^4*T2^2 + 
     302*T1^5*T2^2 - 245*T1^6*T2^2 + 76*T1^7*T2^2 + 24*T1^8*T2^2 - 
     54*T1^9*T2^2 + 15*T1^10*T2^2 - 25*T2^3 + 60*T1*T2^3 + 76*T1^2*T2^3 - 
     220*T1^3*T2^3 + 359*T1^4*T2^3 - 136*T1^5*T2^3 - 136*T1^6*T2^3 + 
     359*T1^7*T2^3 - 220*T1^8*T2^3 + 76*T1^9*T2^3 + 60*T1^10*T2^3 - 
     25*T1^11*T2^3 + 29*T2^4 - 24*T1*T2^4 - 245*T1^2*T2^4 + 359*T1^3*T2^4 - 
     453*T1^4*T2^4 - 7*T1^5*T2^4 + 127*T1^6*T2^4 - 7*T1^7*T2^4 - 
     453*T1^8*T2^4 + 359*T1^9*T2^4 - 245*T1^10*T2^4 - 24*T1^11*T2^4 + 
     29*T1^12*T2^4 - 25*T2^5 - 24*T1*T2^5 + 302*T1^2*T2^5 - 136*T1^3*T2^5 - 
     7*T1^4*T2^5 + 670*T1^5*T2^5 - 275*T1^6*T2^5 - 275*T1^7*T2^5 + 
     670*T1^8*T2^5 - 7*T1^9*T2^5 - 136*T1^10*T2^5 + 302*T1^11*T2^5 - 
     24*T1^12*T2^5 - 25*T1^13*T2^5 + 15*T2^6 + 60*T1*T2^6 - 245*T1^2*T2^6 - 
     136*T1^3*T2^6 + 127*T1^4*T2^6 - 275*T1^5*T2^6 - 1005*T1^6*T2^6 + 
     1455*T1^7*T2^6 - 1005*T1^8*T2^6 - 275*T1^9*T2^6 + 127*T1^10*T2^6 - 
     136*T1^11*T2^6 - 245*T1^12*T2^6 + 60*T1^13*T2^6 + 15*T1^14*T2^6 - 
     6*T2^7 - 54*T1*T2^7 + 76*T1^2*T2^7 + 359*T1^3*T2^7 - 7*T1^4*T2^7 - 
     275*T1^5*T2^7 + 1455*T1^6*T2^7 - 656*T1^7*T2^7 - 656*T1^8*T2^7 + 
     1455*T1^9*T2^7 - 275*T1^10*T2^7 - 7*T1^11*T2^7 + 359*T1^12*T2^7 + 
     76*T1^13*T2^7 - 54*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 
     24*T1^2*T2^8 - 220*T1^3*T2^8 - 453*T1^4*T2^8 + 670*T1^5*T2^8 - 
     1005*T1^6*T2^8 - 656*T1^7*T2^8 + 1320*T1^8*T2^8 - 656*T1^9*T2^8 - 
     1005*T1^10*T2^8 + 670*T1^11*T2^8 - 453*T1^12*T2^8 - 220*T1^13*T2^8 + 
     24*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 54*T1^2*T2^9 + 
     76*T1^3*T2^9 + 359*T1^4*T2^9 - 7*T1^5*T2^9 - 275*T1^6*T2^9 + 
     1455*T1^7*T2^9 - 656*T1^8*T2^9 - 656*T1^9*T2^9 + 1455*T1^10*T2^9 - 
     275*T1^11*T2^9 - 7*T1^12*T2^9 + 359*T1^13*T2^9 + 76*T1^14*T2^9 - 
     54*T1^15*T2^9 - 6*T1^16*T2^9 + 15*T1^2*T2^10 + 60*T1^3*T2^10 - 
     245*T1^4*T2^10 - 136*T1^5*T2^10 + 127*T1^6*T2^10 - 275*T1^7*T2^10 - 
     1005*T1^8*T2^10 + 1455*T1^9*T2^10 - 1005*T1^10*T2^10 - 275*T1^11*T2^10 + 
     127*T1^12*T2^10 - 136*T1^13*T2^10 - 245*T1^14*T2^10 + 60*T1^15*T2^10 + 
     15*T1^16*T2^10 - 25*T1^3*T2^11 - 24*T1^4*T2^11 + 302*T1^5*T2^11 - 
     136*T1^6*T2^11 - 7*T1^7*T2^11 + 670*T1^8*T2^11 - 275*T1^9*T2^11 - 
     275*T1^10*T2^11 + 670*T1^11*T2^11 - 7*T1^12*T2^11 - 136*T1^13*T2^11 + 
     302*T1^14*T2^11 - 24*T1^15*T2^11 - 25*T1^16*T2^11 + 29*T1^4*T2^12 - 
     24*T1^5*T2^12 - 245*T1^6*T2^12 + 359*T1^7*T2^12 - 453*T1^8*T2^12 - 
     7*T1^9*T2^12 + 127*T1^10*T2^12 - 7*T1^11*T2^12 - 453*T1^12*T2^12 + 
     359*T1^13*T2^12 - 245*T1^14*T2^12 - 24*T1^15*T2^12 + 29*T1^16*T2^12 - 
     25*T1^5*T2^13 + 60*T1^6*T2^13 + 76*T1^7*T2^13 - 220*T1^8*T2^13 + 
     359*T1^9*T2^13 - 136*T1^10*T2^13 - 136*T1^11*T2^13 + 359*T1^12*T2^13 - 
     220*T1^13*T2^13 + 76*T1^14*T2^13 + 60*T1^15*T2^13 - 25*T1^16*T2^13 + 
     15*T1^6*T2^14 - 54*T1^7*T2^14 + 24*T1^8*T2^14 + 76*T1^9*T2^14 - 
     245*T1^10*T2^14 + 302*T1^11*T2^14 - 245*T1^12*T2^14 + 76*T1^13*T2^14 + 
     24*T1^14*T2^14 - 54*T1^15*T2^14 + 15*T1^16*T2^14 - 6*T1^7*T2^15 + 
     30*T1^8*T2^15 - 54*T1^9*T2^15 + 60*T1^10*T2^15 - 24*T1^11*T2^15 - 
     24*T1^12*T2^15 + 60*T1^13*T2^15 - 54*T1^14*T2^15 + 30*T1^15*T2^15 - 
     6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 15*T1^10*T2^16 - 
     25*T1^11*T2^16 + 29*T1^12*T2^16 - 25*T1^13*T2^16 + 15*T1^14*T2^16 - 
     6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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), -((1 - 6*T1 + 17*T1^2 - 32*T1^3 + 39*T1^4 - 32*T1^5 + 17*T1^6 - 
      6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 66*T1^2*T2 + 90*T1^3*T2 - 
      42*T1^4*T2 - 42*T1^5*T2 + 90*T1^6*T2 - 66*T1^7*T2 + 30*T1^8*T2 - 
      6*T1^9*T2 + 17*T2^2 - 66*T1*T2^2 + 90*T1^2*T2^2 - 33*T1^3*T2^2 - 
      202*T1^4*T2^2 + 320*T1^5*T2^2 - 202*T1^6*T2^2 - 33*T1^7*T2^2 + 
      90*T1^8*T2^2 - 66*T1^9*T2^2 + 17*T1^10*T2^2 - 32*T2^3 + 90*T1*T2^3 - 
      33*T1^2*T2^3 - 138*T1^3*T2^3 + 487*T1^4*T2^3 - 248*T1^5*T2^3 - 
      248*T1^6*T2^3 + 487*T1^7*T2^3 - 138*T1^8*T2^3 - 33*T1^9*T2^3 + 
      90*T1^10*T2^3 - 32*T1^11*T2^3 + 39*T2^4 - 42*T1*T2^4 - 202*T1^2*T2^4 + 
      487*T1^3*T2^4 - 818*T1^4*T2^4 - 21*T1^5*T2^4 + 432*T1^6*T2^4 - 
      21*T1^7*T2^4 - 818*T1^8*T2^4 + 487*T1^9*T2^4 - 202*T1^10*T2^4 - 
      42*T1^11*T2^4 + 39*T1^12*T2^4 - 32*T2^5 - 42*T1*T2^5 + 320*T1^2*T2^5 - 
      248*T1^3*T2^5 - 21*T1^4*T2^5 + 1502*T1^5*T2^5 - 770*T1^6*T2^5 - 
      770*T1^7*T2^5 + 1502*T1^8*T2^5 - 21*T1^9*T2^5 - 248*T1^10*T2^5 + 
      320*T1^11*T2^5 - 42*T1^12*T2^5 - 32*T1^13*T2^5 + 17*T2^6 + 90*T1*T2^6 - 
      202*T1^2*T2^6 - 248*T1^3*T2^6 + 432*T1^4*T2^6 - 770*T1^5*T2^6 - 
      2442*T1^6*T2^6 + 3900*T1^7*T2^6 - 2442*T1^8*T2^6 - 770*T1^9*T2^6 + 
      432*T1^10*T2^6 - 248*T1^11*T2^6 - 202*T1^12*T2^6 + 90*T1^13*T2^6 + 
      17*T1^14*T2^6 - 6*T2^7 - 66*T1*T2^7 - 33*T1^2*T2^7 + 487*T1^3*T2^7 - 
      21*T1^4*T2^7 - 770*T1^5*T2^7 + 3900*T1^6*T2^7 - 1916*T1^7*T2^7 - 
      1916*T1^8*T2^7 + 3900*T1^9*T2^7 - 770*T1^10*T2^7 - 21*T1^11*T2^7 + 
      487*T1^12*T2^7 - 33*T1^13*T2^7 - 66*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 
      30*T1*T2^8 + 90*T1^2*T2^8 - 138*T1^3*T2^8 - 818*T1^4*T2^8 + 
      1502*T1^5*T2^8 - 2442*T1^6*T2^8 - 1916*T1^7*T2^8 + 3912*T1^8*T2^8 - 
      1916*T1^9*T2^8 - 2442*T1^10*T2^8 + 1502*T1^11*T2^8 - 818*T1^12*T2^8 - 
      138*T1^13*T2^8 + 90*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 
      6*T1*T2^9 - 66*T1^2*T2^9 - 33*T1^3*T2^9 + 487*T1^4*T2^9 - 
      21*T1^5*T2^9 - 770*T1^6*T2^9 + 3900*T1^7*T2^9 - 1916*T1^8*T2^9 - 
      1916*T1^9*T2^9 + 3900*T1^10*T2^9 - 770*T1^11*T2^9 - 21*T1^12*T2^9 + 
      487*T1^13*T2^9 - 33*T1^14*T2^9 - 66*T1^15*T2^9 - 6*T1^16*T2^9 + 
      17*T1^2*T2^10 + 90*T1^3*T2^10 - 202*T1^4*T2^10 - 248*T1^5*T2^10 + 
      432*T1^6*T2^10 - 770*T1^7*T2^10 - 2442*T1^8*T2^10 + 3900*T1^9*T2^10 - 
      2442*T1^10*T2^10 - 770*T1^11*T2^10 + 432*T1^12*T2^10 - 
      248*T1^13*T2^10 - 202*T1^14*T2^10 + 90*T1^15*T2^10 + 17*T1^16*T2^10 - 
      32*T1^3*T2^11 - 42*T1^4*T2^11 + 320*T1^5*T2^11 - 248*T1^6*T2^11 - 
      21*T1^7*T2^11 + 1502*T1^8*T2^11 - 770*T1^9*T2^11 - 770*T1^10*T2^11 + 
      1502*T1^11*T2^11 - 21*T1^12*T2^11 - 248*T1^13*T2^11 + 320*T1^14*T2^11 - 
      42*T1^15*T2^11 - 32*T1^16*T2^11 + 39*T1^4*T2^12 - 42*T1^5*T2^12 - 
      202*T1^6*T2^12 + 487*T1^7*T2^12 - 818*T1^8*T2^12 - 21*T1^9*T2^12 + 
      432*T1^10*T2^12 - 21*T1^11*T2^12 - 818*T1^12*T2^12 + 487*T1^13*T2^12 - 
      202*T1^14*T2^12 - 42*T1^15*T2^12 + 39*T1^16*T2^12 - 32*T1^5*T2^13 + 
      90*T1^6*T2^13 - 33*T1^7*T2^13 - 138*T1^8*T2^13 + 487*T1^9*T2^13 - 
      248*T1^10*T2^13 - 248*T1^11*T2^13 + 487*T1^12*T2^13 - 138*T1^13*T2^13 - 
      33*T1^14*T2^13 + 90*T1^15*T2^13 - 32*T1^16*T2^13 + 17*T1^6*T2^14 - 
      66*T1^7*T2^14 + 90*T1^8*T2^14 - 33*T1^9*T2^14 - 202*T1^10*T2^14 + 
      320*T1^11*T2^14 - 202*T1^12*T2^14 - 33*T1^13*T2^14 + 90*T1^14*T2^14 - 
      66*T1^15*T2^14 + 17*T1^16*T2^14 - 6*T1^7*T2^15 + 30*T1^8*T2^15 - 
      66*T1^9*T2^15 + 90*T1^10*T2^15 - 42*T1^11*T2^15 - 42*T1^12*T2^15 + 
      90*T1^13*T2^15 - 66*T1^14*T2^15 + 30*T1^15*T2^15 - 6*T1^16*T2^15 + 
      T1^8*T2^16 - 6*T1^9*T2^16 + 17*T1^10*T2^16 - 32*T1^11*T2^16 + 
      39*T1^12*T2^16 - 32*T1^13*T2^16 + 17*T1^14*T2^16 - 6*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, Knot[11, Alternating, 148] -> 
  {-((7 - 29*T + 43*T^2 - 29*T^3 + 7*T^4)/T^2), 
   (-2*(217 - 897*T1 + 1320*T1^2 - 897*T1^3 + 217*T1^4 - 897*T2 + 
      2819*T1*T2 - 1759*T1^2*T2 - 1759*T1^3*T2 + 2819*T1^4*T2 - 897*T1^5*T2 + 
      1320*T2^2 - 1759*T1*T2^2 - 5985*T1^2*T2^2 + 11723*T1^3*T2^2 - 
      5985*T1^4*T2^2 - 1759*T1^5*T2^2 + 1320*T1^6*T2^2 - 897*T2^3 - 
      1759*T1*T2^3 + 11723*T1^2*T2^3 - 7965*T1^3*T2^3 - 7965*T1^4*T2^3 + 
      11723*T1^5*T2^3 - 1759*T1^6*T2^3 - 897*T1^7*T2^3 + 217*T2^4 + 
      2819*T1*T2^4 - 5985*T1^2*T2^4 - 7965*T1^3*T2^4 + 19098*T1^4*T2^4 - 
      7965*T1^5*T2^4 - 5985*T1^6*T2^4 + 2819*T1^7*T2^4 + 217*T1^8*T2^4 - 
      897*T1*T2^5 - 1759*T1^2*T2^5 + 11723*T1^3*T2^5 - 7965*T1^4*T2^5 - 
      7965*T1^5*T2^5 + 11723*T1^6*T2^5 - 1759*T1^7*T2^5 - 897*T1^8*T2^5 + 
      1320*T1^2*T2^6 - 1759*T1^3*T2^6 - 5985*T1^4*T2^6 + 11723*T1^5*T2^6 - 
      5985*T1^6*T2^6 - 1759*T1^7*T2^6 + 1320*T1^8*T2^6 - 897*T1^3*T2^7 + 
      2819*T1^4*T2^7 - 1759*T1^5*T2^7 - 1759*T1^6*T2^7 + 2819*T1^7*T2^7 - 
      897*T1^8*T2^7 + 217*T1^4*T2^8 - 897*T1^5*T2^8 + 1320*T1^6*T2^8 - 
      897*T1^7*T2^8 + 217*T1^8*T2^8))/(T1^4*T2^4)}, 
 Knot[11, Alternating, 149] -> 
  {(2 - 12*T + 30*T^2 - 39*T^3 + 30*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (9 - 53*T1 + 132*T1^2 - 171*T1^3 + 132*T1^4 - 53*T1^5 + 9*T1^6 - 53*T2 + 
     258*T1*T2 - 462*T1^2*T2 + 228*T1^3*T2 + 228*T1^4*T2 - 462*T1^5*T2 + 
     258*T1^6*T2 - 53*T1^7*T2 + 132*T2^2 - 462*T1*T2^2 + 236*T1^2*T2^2 + 
     1240*T1^3*T2^2 - 1996*T1^4*T2^2 + 1240*T1^5*T2^2 + 236*T1^6*T2^2 - 
     462*T1^7*T2^2 + 132*T1^8*T2^2 - 171*T2^3 + 228*T1*T2^3 + 
     1240*T1^2*T2^3 - 3588*T1^3*T2^3 + 1846*T1^4*T2^3 + 1846*T1^5*T2^3 - 
     3588*T1^6*T2^3 + 1240*T1^7*T2^3 + 228*T1^8*T2^3 - 171*T1^9*T2^3 + 
     132*T2^4 + 228*T1*T2^4 - 1996*T1^2*T2^4 + 1846*T1^3*T2^4 + 
     4957*T1^4*T2^4 - 8545*T1^5*T2^4 + 4957*T1^6*T2^4 + 1846*T1^7*T2^4 - 
     1996*T1^8*T2^4 + 228*T1^9*T2^4 + 132*T1^10*T2^4 - 53*T2^5 - 
     462*T1*T2^5 + 1240*T1^2*T2^5 + 1846*T1^3*T2^5 - 8545*T1^4*T2^5 + 
     4670*T1^5*T2^5 + 4670*T1^6*T2^5 - 8545*T1^7*T2^5 + 1846*T1^8*T2^5 + 
     1240*T1^9*T2^5 - 462*T1^10*T2^5 - 53*T1^11*T2^5 + 9*T2^6 + 258*T1*T2^6 + 
     236*T1^2*T2^6 - 3588*T1^3*T2^6 + 4957*T1^4*T2^6 + 4670*T1^5*T2^6 - 
     10152*T1^6*T2^6 + 4670*T1^7*T2^6 + 4957*T1^8*T2^6 - 3588*T1^9*T2^6 + 
     236*T1^10*T2^6 + 258*T1^11*T2^6 + 9*T1^12*T2^6 - 53*T1*T2^7 - 
     462*T1^2*T2^7 + 1240*T1^3*T2^7 + 1846*T1^4*T2^7 - 8545*T1^5*T2^7 + 
     4670*T1^6*T2^7 + 4670*T1^7*T2^7 - 8545*T1^8*T2^7 + 1846*T1^9*T2^7 + 
     1240*T1^10*T2^7 - 462*T1^11*T2^7 - 53*T1^12*T2^7 + 132*T1^2*T2^8 + 
     228*T1^3*T2^8 - 1996*T1^4*T2^8 + 1846*T1^5*T2^8 + 4957*T1^6*T2^8 - 
     8545*T1^7*T2^8 + 4957*T1^8*T2^8 + 1846*T1^9*T2^8 - 1996*T1^10*T2^8 + 
     228*T1^11*T2^8 + 132*T1^12*T2^8 - 171*T1^3*T2^9 + 228*T1^4*T2^9 + 
     1240*T1^5*T2^9 - 3588*T1^6*T2^9 + 1846*T1^7*T2^9 + 1846*T1^8*T2^9 - 
     3588*T1^9*T2^9 + 1240*T1^10*T2^9 + 228*T1^11*T2^9 - 171*T1^12*T2^9 + 
     132*T1^4*T2^10 - 462*T1^5*T2^10 + 236*T1^6*T2^10 + 1240*T1^7*T2^10 - 
     1996*T1^8*T2^10 + 1240*T1^9*T2^10 + 236*T1^10*T2^10 - 462*T1^11*T2^10 + 
     132*T1^12*T2^10 - 53*T1^5*T2^11 + 258*T1^6*T2^11 - 462*T1^7*T2^11 + 
     228*T1^8*T2^11 + 228*T1^9*T2^11 - 462*T1^10*T2^11 + 258*T1^11*T2^11 - 
     53*T1^12*T2^11 + 9*T1^6*T2^12 - 53*T1^7*T2^12 + 132*T1^8*T2^12 - 
     171*T1^9*T2^12 + 132*T1^10*T2^12 - 53*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 150] -> 
  {-((2 - 13*T + 29*T^2 - 37*T^3 + 29*T^4 - 13*T^5 + 2*T^6)/T^3), 
   (17 - 109*T1 + 240*T1^2 - 305*T1^3 + 240*T1^4 - 109*T1^5 + 17*T1^6 - 
     109*T2 + 590*T1*T2 - 842*T1^2*T2 + 418*T1^3*T2 + 418*T1^4*T2 - 
     842*T1^5*T2 + 590*T1^6*T2 - 109*T1^7*T2 + 240*T2^2 - 842*T1*T2^2 - 
     758*T1^2*T2^2 + 3808*T1^3*T2^2 - 5488*T1^4*T2^2 + 3808*T1^5*T2^2 - 
     758*T1^6*T2^2 - 842*T1^7*T2^2 + 240*T1^8*T2^2 - 305*T2^3 + 418*T1*T2^3 + 
     3808*T1^2*T2^3 - 6496*T1^3*T2^3 + 3452*T1^4*T2^3 + 3452*T1^5*T2^3 - 
     6496*T1^6*T2^3 + 3808*T1^7*T2^3 + 418*T1^8*T2^3 - 305*T1^9*T2^3 + 
     240*T2^4 + 418*T1*T2^4 - 5488*T1^2*T2^4 + 3452*T1^3*T2^4 + 
     4425*T1^4*T2^4 - 9593*T1^5*T2^4 + 4425*T1^6*T2^4 + 3452*T1^7*T2^4 - 
     5488*T1^8*T2^4 + 418*T1^9*T2^4 + 240*T1^10*T2^4 - 109*T2^5 - 
     842*T1*T2^5 + 3808*T1^2*T2^5 + 3452*T1^3*T2^5 - 9593*T1^4*T2^5 + 
     5850*T1^5*T2^5 + 5850*T1^6*T2^5 - 9593*T1^7*T2^5 + 3452*T1^8*T2^5 + 
     3808*T1^9*T2^5 - 842*T1^10*T2^5 - 109*T1^11*T2^5 + 17*T2^6 + 
     590*T1*T2^6 - 758*T1^2*T2^6 - 6496*T1^3*T2^6 + 4425*T1^4*T2^6 + 
     5850*T1^5*T2^6 - 13056*T1^6*T2^6 + 5850*T1^7*T2^6 + 4425*T1^8*T2^6 - 
     6496*T1^9*T2^6 - 758*T1^10*T2^6 + 590*T1^11*T2^6 + 17*T1^12*T2^6 - 
     109*T1*T2^7 - 842*T1^2*T2^7 + 3808*T1^3*T2^7 + 3452*T1^4*T2^7 - 
     9593*T1^5*T2^7 + 5850*T1^6*T2^7 + 5850*T1^7*T2^7 - 9593*T1^8*T2^7 + 
     3452*T1^9*T2^7 + 3808*T1^10*T2^7 - 842*T1^11*T2^7 - 109*T1^12*T2^7 + 
     240*T1^2*T2^8 + 418*T1^3*T2^8 - 5488*T1^4*T2^8 + 3452*T1^5*T2^8 + 
     4425*T1^6*T2^8 - 9593*T1^7*T2^8 + 4425*T1^8*T2^8 + 3452*T1^9*T2^8 - 
     5488*T1^10*T2^8 + 418*T1^11*T2^8 + 240*T1^12*T2^8 - 305*T1^3*T2^9 + 
     418*T1^4*T2^9 + 3808*T1^5*T2^9 - 6496*T1^6*T2^9 + 3452*T1^7*T2^9 + 
     3452*T1^8*T2^9 - 6496*T1^9*T2^9 + 3808*T1^10*T2^9 + 418*T1^11*T2^9 - 
     305*T1^12*T2^9 + 240*T1^4*T2^10 - 842*T1^5*T2^10 - 758*T1^6*T2^10 + 
     3808*T1^7*T2^10 - 5488*T1^8*T2^10 + 3808*T1^9*T2^10 - 758*T1^10*T2^10 - 
     842*T1^11*T2^10 + 240*T1^12*T2^10 - 109*T1^5*T2^11 + 590*T1^6*T2^11 - 
     842*T1^7*T2^11 + 418*T1^8*T2^11 + 418*T1^9*T2^11 - 842*T1^10*T2^11 + 
     590*T1^11*T2^11 - 109*T1^12*T2^11 + 17*T1^6*T2^12 - 109*T1^7*T2^12 + 
     240*T1^8*T2^12 - 305*T1^9*T2^12 + 240*T1^10*T2^12 - 109*T1^11*T2^12 + 
     17*T1^12*T2^12)/(T1^6*T2^6)}, 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), (1 - 6*T1 + 15*T1^2 - 26*T1^3 + 31*T1^4 - 26*T1^5 + 15*T1^6 - 
     6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 54*T1^2*T2 + 66*T1^3*T2 - 30*T1^4*T2 - 
     30*T1^5*T2 + 66*T1^6*T2 - 54*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 
     15*T2^2 - 54*T1*T2^2 + 24*T1^2*T2^2 + 62*T1^3*T2^2 - 255*T1^4*T2^2 + 
     350*T1^5*T2^2 - 255*T1^6*T2^2 + 62*T1^7*T2^2 + 24*T1^8*T2^2 - 
     54*T1^9*T2^2 + 15*T1^10*T2^2 - 26*T2^3 + 66*T1*T2^3 + 62*T1^2*T2^3 - 
     176*T1^3*T2^3 + 388*T1^4*T2^3 - 199*T1^5*T2^3 - 199*T1^6*T2^3 + 
     388*T1^7*T2^3 - 176*T1^8*T2^3 + 62*T1^9*T2^3 + 66*T1^10*T2^3 - 
     26*T1^11*T2^3 + 31*T2^4 - 30*T1*T2^4 - 255*T1^2*T2^4 + 388*T1^3*T2^4 - 
     693*T1^4*T2^4 + 246*T1^5*T2^4 + 55*T1^6*T2^4 + 246*T1^7*T2^4 - 
     693*T1^8*T2^4 + 388*T1^9*T2^4 - 255*T1^10*T2^4 - 30*T1^11*T2^4 + 
     31*T1^12*T2^4 - 26*T2^5 - 30*T1*T2^5 + 350*T1^2*T2^5 - 199*T1^3*T2^5 + 
     246*T1^4*T2^5 + 652*T1^5*T2^5 - 459*T1^6*T2^5 - 459*T1^7*T2^5 + 
     652*T1^8*T2^5 + 246*T1^9*T2^5 - 199*T1^10*T2^5 + 350*T1^11*T2^5 - 
     30*T1^12*T2^5 - 26*T1^13*T2^5 + 15*T2^6 + 66*T1*T2^6 - 255*T1^2*T2^6 - 
     199*T1^3*T2^6 + 55*T1^4*T2^6 - 459*T1^5*T2^6 - 1039*T1^6*T2^6 + 
     2037*T1^7*T2^6 - 1039*T1^8*T2^6 - 459*T1^9*T2^6 + 55*T1^10*T2^6 - 
     199*T1^11*T2^6 - 255*T1^12*T2^6 + 66*T1^13*T2^6 + 15*T1^14*T2^6 - 
     6*T2^7 - 54*T1*T2^7 + 62*T1^2*T2^7 + 388*T1^3*T2^7 + 246*T1^4*T2^7 - 
     459*T1^5*T2^7 + 2037*T1^6*T2^7 - 1218*T1^7*T2^7 - 1218*T1^8*T2^7 + 
     2037*T1^9*T2^7 - 459*T1^10*T2^7 + 246*T1^11*T2^7 + 388*T1^12*T2^7 + 
     62*T1^13*T2^7 - 54*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 
     24*T1^2*T2^8 - 176*T1^3*T2^8 - 693*T1^4*T2^8 + 652*T1^5*T2^8 - 
     1039*T1^6*T2^8 - 1218*T1^7*T2^8 + 2700*T1^8*T2^8 - 1218*T1^9*T2^8 - 
     1039*T1^10*T2^8 + 652*T1^11*T2^8 - 693*T1^12*T2^8 - 176*T1^13*T2^8 + 
     24*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 54*T1^2*T2^9 + 
     62*T1^3*T2^9 + 388*T1^4*T2^9 + 246*T1^5*T2^9 - 459*T1^6*T2^9 + 
     2037*T1^7*T2^9 - 1218*T1^8*T2^9 - 1218*T1^9*T2^9 + 2037*T1^10*T2^9 - 
     459*T1^11*T2^9 + 246*T1^12*T2^9 + 388*T1^13*T2^9 + 62*T1^14*T2^9 - 
     54*T1^15*T2^9 - 6*T1^16*T2^9 + 15*T1^2*T2^10 + 66*T1^3*T2^10 - 
     255*T1^4*T2^10 - 199*T1^5*T2^10 + 55*T1^6*T2^10 - 459*T1^7*T2^10 - 
     1039*T1^8*T2^10 + 2037*T1^9*T2^10 - 1039*T1^10*T2^10 - 459*T1^11*T2^10 + 
     55*T1^12*T2^10 - 199*T1^13*T2^10 - 255*T1^14*T2^10 + 66*T1^15*T2^10 + 
     15*T1^16*T2^10 - 26*T1^3*T2^11 - 30*T1^4*T2^11 + 350*T1^5*T2^11 - 
     199*T1^6*T2^11 + 246*T1^7*T2^11 + 652*T1^8*T2^11 - 459*T1^9*T2^11 - 
     459*T1^10*T2^11 + 652*T1^11*T2^11 + 246*T1^12*T2^11 - 199*T1^13*T2^11 + 
     350*T1^14*T2^11 - 30*T1^15*T2^11 - 26*T1^16*T2^11 + 31*T1^4*T2^12 - 
     30*T1^5*T2^12 - 255*T1^6*T2^12 + 388*T1^7*T2^12 - 693*T1^8*T2^12 + 
     246*T1^9*T2^12 + 55*T1^10*T2^12 + 246*T1^11*T2^12 - 693*T1^12*T2^12 + 
     388*T1^13*T2^12 - 255*T1^14*T2^12 - 30*T1^15*T2^12 + 31*T1^16*T2^12 - 
     26*T1^5*T2^13 + 66*T1^6*T2^13 + 62*T1^7*T2^13 - 176*T1^8*T2^13 + 
     388*T1^9*T2^13 - 199*T1^10*T2^13 - 199*T1^11*T2^13 + 388*T1^12*T2^13 - 
     176*T1^13*T2^13 + 62*T1^14*T2^13 + 66*T1^15*T2^13 - 26*T1^16*T2^13 + 
     15*T1^6*T2^14 - 54*T1^7*T2^14 + 24*T1^8*T2^14 + 62*T1^9*T2^14 - 
     255*T1^10*T2^14 + 350*T1^11*T2^14 - 255*T1^12*T2^14 + 62*T1^13*T2^14 + 
     24*T1^14*T2^14 - 54*T1^15*T2^14 + 15*T1^16*T2^14 - 6*T1^7*T2^15 + 
     30*T1^8*T2^15 - 54*T1^9*T2^15 + 66*T1^10*T2^15 - 30*T1^11*T2^15 - 
     30*T1^12*T2^15 + 66*T1^13*T2^15 - 54*T1^14*T2^15 + 30*T1^15*T2^15 - 
     6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 15*T1^10*T2^16 - 
     26*T1^11*T2^16 + 31*T1^12*T2^16 - 26*T1^13*T2^16 + 15*T1^14*T2^16 - 
     6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 152] -> 
  {-(((1 - T + T^2)*(2 - 10*T + 15*T^2 - 10*T^3 + 2*T^4))/T^3), 
   (1 - 6*T1 + 14*T1^2 - 19*T1^3 + 14*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     30*T1*T2 - 48*T1^2*T2 + 30*T1^3*T2 + 30*T1^4*T2 - 48*T1^5*T2 + 
     30*T1^6*T2 - 6*T1^7*T2 + 14*T2^2 - 48*T1*T2^2 + 123*T1^3*T2^2 - 
     248*T1^4*T2^2 + 123*T1^5*T2^2 - 48*T1^7*T2^2 + 14*T1^8*T2^2 - 19*T2^3 + 
     30*T1*T2^3 + 123*T1^2*T2^3 - 168*T1^3*T2^3 + 169*T1^4*T2^3 + 
     169*T1^5*T2^3 - 168*T1^6*T2^3 + 123*T1^7*T2^3 + 30*T1^8*T2^3 - 
     19*T1^9*T2^3 + 14*T2^4 + 30*T1*T2^4 - 248*T1^2*T2^4 + 169*T1^3*T2^4 - 
     571*T1^4*T2^4 + 497*T1^5*T2^4 - 571*T1^6*T2^4 + 169*T1^7*T2^4 - 
     248*T1^8*T2^4 + 30*T1^9*T2^4 + 14*T1^10*T2^4 - 6*T2^5 - 48*T1*T2^5 + 
     123*T1^2*T2^5 + 169*T1^3*T2^5 + 497*T1^4*T2^5 - 96*T1^5*T2^5 - 
     96*T1^6*T2^5 + 497*T1^7*T2^5 + 169*T1^8*T2^5 + 123*T1^9*T2^5 - 
     48*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 30*T1*T2^6 - 168*T1^3*T2^6 - 
     571*T1^4*T2^6 - 96*T1^5*T2^6 + 60*T1^6*T2^6 - 96*T1^7*T2^6 - 
     571*T1^8*T2^6 - 168*T1^9*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
     48*T1^2*T2^7 + 123*T1^3*T2^7 + 169*T1^4*T2^7 + 497*T1^5*T2^7 - 
     96*T1^6*T2^7 - 96*T1^7*T2^7 + 497*T1^8*T2^7 + 169*T1^9*T2^7 + 
     123*T1^10*T2^7 - 48*T1^11*T2^7 - 6*T1^12*T2^7 + 14*T1^2*T2^8 + 
     30*T1^3*T2^8 - 248*T1^4*T2^8 + 169*T1^5*T2^8 - 571*T1^6*T2^8 + 
     497*T1^7*T2^8 - 571*T1^8*T2^8 + 169*T1^9*T2^8 - 248*T1^10*T2^8 + 
     30*T1^11*T2^8 + 14*T1^12*T2^8 - 19*T1^3*T2^9 + 30*T1^4*T2^9 + 
     123*T1^5*T2^9 - 168*T1^6*T2^9 + 169*T1^7*T2^9 + 169*T1^8*T2^9 - 
     168*T1^9*T2^9 + 123*T1^10*T2^9 + 30*T1^11*T2^9 - 19*T1^12*T2^9 + 
     14*T1^4*T2^10 - 48*T1^5*T2^10 + 123*T1^7*T2^10 - 248*T1^8*T2^10 + 
     123*T1^9*T2^10 - 48*T1^11*T2^10 + 14*T1^12*T2^10 - 6*T1^5*T2^11 + 
     30*T1^6*T2^11 - 48*T1^7*T2^11 + 30*T1^8*T2^11 + 30*T1^9*T2^11 - 
     48*T1^10*T2^11 + 30*T1^11*T2^11 - 6*T1^12*T2^11 + T1^6*T2^12 - 
     6*T1^7*T2^12 + 14*T1^8*T2^12 - 19*T1^9*T2^12 + 14*T1^10*T2^12 - 
     6*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, Alternating, 153] -> 
  {-((2 - 10*T + 20*T^2 - 25*T^3 + 20*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((1 - 5*T1 + 10*T1^2 - 13*T1^3 + 10*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
      20*T1*T2 - 25*T1^2*T2 + 15*T1^3*T2 + 15*T1^4*T2 - 25*T1^5*T2 + 
      20*T1^6*T2 - 5*T1^7*T2 + 10*T2^2 - 25*T1*T2^2 - 15*T1^2*T2^2 + 
      53*T1^3*T2^2 - 95*T1^4*T2^2 + 53*T1^5*T2^2 - 15*T1^6*T2^2 - 
      25*T1^7*T2^2 + 10*T1^8*T2^2 - 13*T2^3 + 15*T1*T2^3 + 53*T1^2*T2^3 + 
      24*T1^3*T2^3 + 4*T1^4*T2^3 + 4*T1^5*T2^3 + 24*T1^6*T2^3 + 
      53*T1^7*T2^3 + 15*T1^8*T2^3 - 13*T1^9*T2^3 + 10*T2^4 + 15*T1*T2^4 - 
      95*T1^2*T2^4 + 4*T1^3*T2^4 - 494*T1^4*T2^4 + 708*T1^5*T2^4 - 
      494*T1^6*T2^4 + 4*T1^7*T2^4 - 95*T1^8*T2^4 + 15*T1^9*T2^4 + 
      10*T1^10*T2^4 - 5*T2^5 - 25*T1*T2^5 + 53*T1^2*T2^5 + 4*T1^3*T2^5 + 
      708*T1^4*T2^5 - 378*T1^5*T2^5 - 378*T1^6*T2^5 + 708*T1^7*T2^5 + 
      4*T1^8*T2^5 + 53*T1^9*T2^5 - 25*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
      20*T1*T2^6 - 15*T1^2*T2^6 + 24*T1^3*T2^6 - 494*T1^4*T2^6 - 
      378*T1^5*T2^6 + 828*T1^6*T2^6 - 378*T1^7*T2^6 - 494*T1^8*T2^6 + 
      24*T1^9*T2^6 - 15*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
      25*T1^2*T2^7 + 53*T1^3*T2^7 + 4*T1^4*T2^7 + 708*T1^5*T2^7 - 
      378*T1^6*T2^7 - 378*T1^7*T2^7 + 708*T1^8*T2^7 + 4*T1^9*T2^7 + 
      53*T1^10*T2^7 - 25*T1^11*T2^7 - 5*T1^12*T2^7 + 10*T1^2*T2^8 + 
      15*T1^3*T2^8 - 95*T1^4*T2^8 + 4*T1^5*T2^8 - 494*T1^6*T2^8 + 
      708*T1^7*T2^8 - 494*T1^8*T2^8 + 4*T1^9*T2^8 - 95*T1^10*T2^8 + 
      15*T1^11*T2^8 + 10*T1^12*T2^8 - 13*T1^3*T2^9 + 15*T1^4*T2^9 + 
      53*T1^5*T2^9 + 24*T1^6*T2^9 + 4*T1^7*T2^9 + 4*T1^8*T2^9 + 
      24*T1^9*T2^9 + 53*T1^10*T2^9 + 15*T1^11*T2^9 - 13*T1^12*T2^9 + 
      10*T1^4*T2^10 - 25*T1^5*T2^10 - 15*T1^6*T2^10 + 53*T1^7*T2^10 - 
      95*T1^8*T2^10 + 53*T1^9*T2^10 - 15*T1^10*T2^10 - 25*T1^11*T2^10 + 
      10*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 25*T1^7*T2^11 + 
      15*T1^8*T2^11 + 15*T1^9*T2^11 - 25*T1^10*T2^11 + 20*T1^11*T2^11 - 
      5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 10*T1^8*T2^12 - 
      13*T1^9*T2^12 + 10*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[11, Alternating, 154] -> 
  {-((4 - 17*T + 25*T^2 - 17*T^3 + 4*T^4)/T^2), 
   -((64 - 264*T1 + 384*T1^2 - 264*T1^3 + 64*T1^4 - 264*T2 + 820*T1*T2 - 
      492*T1^2*T2 - 492*T1^3*T2 + 820*T1^4*T2 - 264*T1^5*T2 + 384*T2^2 - 
      492*T1*T2^2 - 1755*T1^2*T2^2 + 3297*T1^3*T2^2 - 1755*T1^4*T2^2 - 
      492*T1^5*T2^2 + 384*T1^6*T2^2 - 264*T2^3 - 492*T1*T2^3 + 
      3297*T1^2*T2^3 - 2136*T1^3*T2^3 - 2136*T1^4*T2^3 + 3297*T1^5*T2^3 - 
      492*T1^6*T2^3 - 264*T1^7*T2^3 + 64*T2^4 + 820*T1*T2^4 - 
      1755*T1^2*T2^4 - 2136*T1^3*T2^4 + 5028*T1^4*T2^4 - 2136*T1^5*T2^4 - 
      1755*T1^6*T2^4 + 820*T1^7*T2^4 + 64*T1^8*T2^4 - 264*T1*T2^5 - 
      492*T1^2*T2^5 + 3297*T1^3*T2^5 - 2136*T1^4*T2^5 - 2136*T1^5*T2^5 + 
      3297*T1^6*T2^5 - 492*T1^7*T2^5 - 264*T1^8*T2^5 + 384*T1^2*T2^6 - 
      492*T1^3*T2^6 - 1755*T1^4*T2^6 + 3297*T1^5*T2^6 - 1755*T1^6*T2^6 - 
      492*T1^7*T2^6 + 384*T1^8*T2^6 - 264*T1^3*T2^7 + 820*T1^4*T2^7 - 
      492*T1^5*T2^7 - 492*T1^6*T2^7 + 820*T1^7*T2^7 - 264*T1^8*T2^7 + 
      64*T1^4*T2^8 - 264*T1^5*T2^8 + 384*T1^6*T2^8 - 264*T1^7*T2^8 + 
      64*T1^8*T2^8)/(T1^4*T2^4))}, Knot[11, Alternating, 155] -> 
  {(3 - 16*T + 40*T^2 - 53*T^3 + 40*T^4 - 16*T^5 + 3*T^6)/T^3, 
   -((30 - 155*T1 + 384*T1^2 - 506*T1^3 + 384*T1^4 - 155*T1^5 + 30*T1^6 - 
      155*T2 + 646*T1*T2 - 1179*T1^2*T2 + 628*T1^3*T2 + 628*T1^4*T2 - 
      1179*T1^5*T2 + 646*T1^6*T2 - 155*T1^7*T2 + 384*T2^2 - 1179*T1*T2^2 + 
      1118*T1^2*T2^2 + 1860*T1^3*T2^2 - 3772*T1^4*T2^2 + 1860*T1^5*T2^2 + 
      1118*T1^6*T2^2 - 1179*T1^7*T2^2 + 384*T1^8*T2^2 - 506*T2^3 + 
      628*T1*T2^3 + 1860*T1^2*T2^3 - 7174*T1^3*T2^3 + 4266*T1^4*T2^3 + 
      4266*T1^5*T2^3 - 7174*T1^6*T2^3 + 1860*T1^7*T2^3 + 628*T1^8*T2^3 - 
      506*T1^9*T2^3 + 384*T2^4 + 628*T1*T2^4 - 3772*T1^2*T2^4 + 
      4266*T1^3*T2^4 + 10406*T1^4*T2^4 - 19830*T1^5*T2^4 + 10406*T1^6*T2^4 + 
      4266*T1^7*T2^4 - 3772*T1^8*T2^4 + 628*T1^9*T2^4 + 384*T1^10*T2^4 - 
      155*T2^5 - 1179*T1*T2^5 + 1860*T1^2*T2^5 + 4266*T1^3*T2^5 - 
      19830*T1^4*T2^5 + 11920*T1^5*T2^5 + 11920*T1^6*T2^5 - 19830*T1^7*T2^5 + 
      4266*T1^8*T2^5 + 1860*T1^9*T2^5 - 1179*T1^10*T2^5 - 155*T1^11*T2^5 + 
      30*T2^6 + 646*T1*T2^6 + 1118*T1^2*T2^6 - 7174*T1^3*T2^6 + 
      10406*T1^4*T2^6 + 11920*T1^5*T2^6 - 26676*T1^6*T2^6 + 11920*T1^7*T2^6 + 
      10406*T1^8*T2^6 - 7174*T1^9*T2^6 + 1118*T1^10*T2^6 + 646*T1^11*T2^6 + 
      30*T1^12*T2^6 - 155*T1*T2^7 - 1179*T1^2*T2^7 + 1860*T1^3*T2^7 + 
      4266*T1^4*T2^7 - 19830*T1^5*T2^7 + 11920*T1^6*T2^7 + 11920*T1^7*T2^7 - 
      19830*T1^8*T2^7 + 4266*T1^9*T2^7 + 1860*T1^10*T2^7 - 1179*T1^11*T2^7 - 
      155*T1^12*T2^7 + 384*T1^2*T2^8 + 628*T1^3*T2^8 - 3772*T1^4*T2^8 + 
      4266*T1^5*T2^8 + 10406*T1^6*T2^8 - 19830*T1^7*T2^8 + 10406*T1^8*T2^8 + 
      4266*T1^9*T2^8 - 3772*T1^10*T2^8 + 628*T1^11*T2^8 + 384*T1^12*T2^8 - 
      506*T1^3*T2^9 + 628*T1^4*T2^9 + 1860*T1^5*T2^9 - 7174*T1^6*T2^9 + 
      4266*T1^7*T2^9 + 4266*T1^8*T2^9 - 7174*T1^9*T2^9 + 1860*T1^10*T2^9 + 
      628*T1^11*T2^9 - 506*T1^12*T2^9 + 384*T1^4*T2^10 - 1179*T1^5*T2^10 + 
      1118*T1^6*T2^10 + 1860*T1^7*T2^10 - 3772*T1^8*T2^10 + 1860*T1^9*T2^10 + 
      1118*T1^10*T2^10 - 1179*T1^11*T2^10 + 384*T1^12*T2^10 - 
      155*T1^5*T2^11 + 646*T1^6*T2^11 - 1179*T1^7*T2^11 + 628*T1^8*T2^11 + 
      628*T1^9*T2^11 - 1179*T1^10*T2^11 + 646*T1^11*T2^11 - 155*T1^12*T2^11 + 
      30*T1^6*T2^12 - 155*T1^7*T2^12 + 384*T1^8*T2^12 - 506*T1^9*T2^12 + 
      384*T1^10*T2^12 - 155*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), (1 - 5*T1 + 11*T1^2 - 18*T1^3 + 21*T1^4 - 18*T1^5 + 11*T1^6 - 
     5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 30*T1^2*T2 + 35*T1^3*T2 - 15*T1^4*T2 - 
     15*T1^5*T2 + 35*T1^6*T2 - 30*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
     11*T2^2 - 30*T1*T2^2 + 6*T1^2*T2^2 + 25*T1^3*T2^2 - 103*T1^4*T2^2 + 
     136*T1^5*T2^2 - 103*T1^6*T2^2 + 25*T1^7*T2^2 + 6*T1^8*T2^2 - 
     30*T1^9*T2^2 + 11*T1^10*T2^2 - 18*T2^3 + 35*T1*T2^3 + 25*T1^2*T2^3 - 
     32*T1^3*T2^3 + 110*T1^4*T2^3 - 51*T1^5*T2^3 - 51*T1^6*T2^3 + 
     110*T1^7*T2^3 - 32*T1^8*T2^3 + 25*T1^9*T2^3 + 35*T1^10*T2^3 - 
     18*T1^11*T2^3 + 21*T2^4 - 15*T1*T2^4 - 103*T1^2*T2^4 + 110*T1^3*T2^4 - 
     291*T1^4*T2^4 + 206*T1^5*T2^4 - 165*T1^6*T2^4 + 206*T1^7*T2^4 - 
     291*T1^8*T2^4 + 110*T1^9*T2^4 - 103*T1^10*T2^4 - 15*T1^11*T2^4 + 
     21*T1^12*T2^4 - 18*T2^5 - 15*T1*T2^5 + 136*T1^2*T2^5 - 51*T1^3*T2^5 + 
     206*T1^4*T2^5 + 68*T1^5*T2^5 - 56*T1^6*T2^5 - 56*T1^7*T2^5 + 
     68*T1^8*T2^5 + 206*T1^9*T2^5 - 51*T1^10*T2^5 + 136*T1^11*T2^5 - 
     15*T1^12*T2^5 - 18*T1^13*T2^5 + 11*T2^6 + 35*T1*T2^6 - 103*T1^2*T2^6 - 
     51*T1^3*T2^6 - 165*T1^4*T2^6 - 56*T1^5*T2^6 - 293*T1^6*T2^6 + 
     469*T1^7*T2^6 - 293*T1^8*T2^6 - 56*T1^9*T2^6 - 165*T1^10*T2^6 - 
     51*T1^11*T2^6 - 103*T1^12*T2^6 + 35*T1^13*T2^6 + 11*T1^14*T2^6 - 
     5*T2^7 - 30*T1*T2^7 + 25*T1^2*T2^7 + 110*T1^3*T2^7 + 206*T1^4*T2^7 - 
     56*T1^5*T2^7 + 469*T1^6*T2^7 - 244*T1^7*T2^7 - 244*T1^8*T2^7 + 
     469*T1^9*T2^7 - 56*T1^10*T2^7 + 206*T1^11*T2^7 + 110*T1^12*T2^7 + 
     25*T1^13*T2^7 - 30*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 
     6*T1^2*T2^8 - 32*T1^3*T2^8 - 291*T1^4*T2^8 + 68*T1^5*T2^8 - 
     293*T1^6*T2^8 - 244*T1^7*T2^8 + 516*T1^8*T2^8 - 244*T1^9*T2^8 - 
     293*T1^10*T2^8 + 68*T1^11*T2^8 - 291*T1^12*T2^8 - 32*T1^13*T2^8 + 
     6*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 30*T1^2*T2^9 + 
     25*T1^3*T2^9 + 110*T1^4*T2^9 + 206*T1^5*T2^9 - 56*T1^6*T2^9 + 
     469*T1^7*T2^9 - 244*T1^8*T2^9 - 244*T1^9*T2^9 + 469*T1^10*T2^9 - 
     56*T1^11*T2^9 + 206*T1^12*T2^9 + 110*T1^13*T2^9 + 25*T1^14*T2^9 - 
     30*T1^15*T2^9 - 5*T1^16*T2^9 + 11*T1^2*T2^10 + 35*T1^3*T2^10 - 
     103*T1^4*T2^10 - 51*T1^5*T2^10 - 165*T1^6*T2^10 - 56*T1^7*T2^10 - 
     293*T1^8*T2^10 + 469*T1^9*T2^10 - 293*T1^10*T2^10 - 56*T1^11*T2^10 - 
     165*T1^12*T2^10 - 51*T1^13*T2^10 - 103*T1^14*T2^10 + 35*T1^15*T2^10 + 
     11*T1^16*T2^10 - 18*T1^3*T2^11 - 15*T1^4*T2^11 + 136*T1^5*T2^11 - 
     51*T1^6*T2^11 + 206*T1^7*T2^11 + 68*T1^8*T2^11 - 56*T1^9*T2^11 - 
     56*T1^10*T2^11 + 68*T1^11*T2^11 + 206*T1^12*T2^11 - 51*T1^13*T2^11 + 
     136*T1^14*T2^11 - 15*T1^15*T2^11 - 18*T1^16*T2^11 + 21*T1^4*T2^12 - 
     15*T1^5*T2^12 - 103*T1^6*T2^12 + 110*T1^7*T2^12 - 291*T1^8*T2^12 + 
     206*T1^9*T2^12 - 165*T1^10*T2^12 + 206*T1^11*T2^12 - 291*T1^12*T2^12 + 
     110*T1^13*T2^12 - 103*T1^14*T2^12 - 15*T1^15*T2^12 + 21*T1^16*T2^12 - 
     18*T1^5*T2^13 + 35*T1^6*T2^13 + 25*T1^7*T2^13 - 32*T1^8*T2^13 + 
     110*T1^9*T2^13 - 51*T1^10*T2^13 - 51*T1^11*T2^13 + 110*T1^12*T2^13 - 
     32*T1^13*T2^13 + 25*T1^14*T2^13 + 35*T1^15*T2^13 - 18*T1^16*T2^13 + 
     11*T1^6*T2^14 - 30*T1^7*T2^14 + 6*T1^8*T2^14 + 25*T1^9*T2^14 - 
     103*T1^10*T2^14 + 136*T1^11*T2^14 - 103*T1^12*T2^14 + 25*T1^13*T2^14 + 
     6*T1^14*T2^14 - 30*T1^15*T2^14 + 11*T1^16*T2^14 - 5*T1^7*T2^15 + 
     20*T1^8*T2^15 - 30*T1^9*T2^15 + 35*T1^10*T2^15 - 15*T1^11*T2^15 - 
     15*T1^12*T2^15 + 35*T1^13*T2^15 - 30*T1^14*T2^15 + 20*T1^15*T2^15 - 
     5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 11*T1^10*T2^16 - 
     18*T1^11*T2^16 + 21*T1^12*T2^16 - 18*T1^13*T2^16 + 11*T1^14*T2^16 - 
     5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 157] -> {-(((1 - 3*T + T^2)*(1 - T + T^2)^3)/T^4), 
   (1 - 6*T1 + 16*T1^2 - 28*T1^3 + 33*T1^4 - 28*T1^5 + 16*T1^6 - 6*T1^7 + 
     T1^8 - 6*T2 + 30*T1*T2 - 60*T1^2*T2 + 72*T1^3*T2 - 30*T1^4*T2 - 
     30*T1^5*T2 + 72*T1^6*T2 - 60*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 
     16*T2^2 - 60*T1*T2^2 + 55*T1^2*T2^2 + 37*T1^3*T2^2 - 238*T1^4*T2^2 + 
     313*T1^5*T2^2 - 238*T1^6*T2^2 + 37*T1^7*T2^2 + 55*T1^8*T2^2 - 
     60*T1^9*T2^2 + 16*T1^10*T2^2 - 28*T2^3 + 72*T1*T2^3 + 37*T1^2*T2^3 - 
     224*T1^3*T2^3 + 441*T1^4*T2^3 - 179*T1^5*T2^3 - 179*T1^6*T2^3 + 
     441*T1^7*T2^3 - 224*T1^8*T2^3 + 37*T1^9*T2^3 + 72*T1^10*T2^3 - 
     28*T1^11*T2^3 + 33*T2^4 - 30*T1*T2^4 - 238*T1^2*T2^4 + 441*T1^3*T2^4 - 
     563*T1^4*T2^4 - 76*T1^5*T2^4 + 261*T1^6*T2^4 - 76*T1^7*T2^4 - 
     563*T1^8*T2^4 + 441*T1^9*T2^4 - 238*T1^10*T2^4 - 30*T1^11*T2^4 + 
     33*T1^12*T2^4 - 28*T2^5 - 30*T1*T2^5 + 313*T1^2*T2^5 - 179*T1^3*T2^5 - 
     76*T1^4*T2^5 + 980*T1^5*T2^5 - 397*T1^6*T2^5 - 397*T1^7*T2^5 + 
     980*T1^8*T2^5 - 76*T1^9*T2^5 - 179*T1^10*T2^5 + 313*T1^11*T2^5 - 
     30*T1^12*T2^5 - 28*T1^13*T2^5 + 16*T2^6 + 72*T1*T2^6 - 238*T1^2*T2^6 - 
     179*T1^3*T2^6 + 261*T1^4*T2^6 - 397*T1^5*T2^6 - 1504*T1^6*T2^6 + 
     2148*T1^7*T2^6 - 1504*T1^8*T2^6 - 397*T1^9*T2^6 + 261*T1^10*T2^6 - 
     179*T1^11*T2^6 - 238*T1^12*T2^6 + 72*T1^13*T2^6 + 16*T1^14*T2^6 - 
     6*T2^7 - 60*T1*T2^7 + 37*T1^2*T2^7 + 441*T1^3*T2^7 - 76*T1^4*T2^7 - 
     397*T1^5*T2^7 + 2148*T1^6*T2^7 - 950*T1^7*T2^7 - 950*T1^8*T2^7 + 
     2148*T1^9*T2^7 - 397*T1^10*T2^7 - 76*T1^11*T2^7 + 441*T1^12*T2^7 + 
     37*T1^13*T2^7 - 60*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 
     55*T1^2*T2^8 - 224*T1^3*T2^8 - 563*T1^4*T2^8 + 980*T1^5*T2^8 - 
     1504*T1^6*T2^8 - 950*T1^7*T2^8 + 1896*T1^8*T2^8 - 950*T1^9*T2^8 - 
     1504*T1^10*T2^8 + 980*T1^11*T2^8 - 563*T1^12*T2^8 - 224*T1^13*T2^8 + 
     55*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 60*T1^2*T2^9 + 
     37*T1^3*T2^9 + 441*T1^4*T2^9 - 76*T1^5*T2^9 - 397*T1^6*T2^9 + 
     2148*T1^7*T2^9 - 950*T1^8*T2^9 - 950*T1^9*T2^9 + 2148*T1^10*T2^9 - 
     397*T1^11*T2^9 - 76*T1^12*T2^9 + 441*T1^13*T2^9 + 37*T1^14*T2^9 - 
     60*T1^15*T2^9 - 6*T1^16*T2^9 + 16*T1^2*T2^10 + 72*T1^3*T2^10 - 
     238*T1^4*T2^10 - 179*T1^5*T2^10 + 261*T1^6*T2^10 - 397*T1^7*T2^10 - 
     1504*T1^8*T2^10 + 2148*T1^9*T2^10 - 1504*T1^10*T2^10 - 397*T1^11*T2^10 + 
     261*T1^12*T2^10 - 179*T1^13*T2^10 - 238*T1^14*T2^10 + 72*T1^15*T2^10 + 
     16*T1^16*T2^10 - 28*T1^3*T2^11 - 30*T1^4*T2^11 + 313*T1^5*T2^11 - 
     179*T1^6*T2^11 - 76*T1^7*T2^11 + 980*T1^8*T2^11 - 397*T1^9*T2^11 - 
     397*T1^10*T2^11 + 980*T1^11*T2^11 - 76*T1^12*T2^11 - 179*T1^13*T2^11 + 
     313*T1^14*T2^11 - 30*T1^15*T2^11 - 28*T1^16*T2^11 + 33*T1^4*T2^12 - 
     30*T1^5*T2^12 - 238*T1^6*T2^12 + 441*T1^7*T2^12 - 563*T1^8*T2^12 - 
     76*T1^9*T2^12 + 261*T1^10*T2^12 - 76*T1^11*T2^12 - 563*T1^12*T2^12 + 
     441*T1^13*T2^12 - 238*T1^14*T2^12 - 30*T1^15*T2^12 + 33*T1^16*T2^12 - 
     28*T1^5*T2^13 + 72*T1^6*T2^13 + 37*T1^7*T2^13 - 224*T1^8*T2^13 + 
     441*T1^9*T2^13 - 179*T1^10*T2^13 - 179*T1^11*T2^13 + 441*T1^12*T2^13 - 
     224*T1^13*T2^13 + 37*T1^14*T2^13 + 72*T1^15*T2^13 - 28*T1^16*T2^13 + 
     16*T1^6*T2^14 - 60*T1^7*T2^14 + 55*T1^8*T2^14 + 37*T1^9*T2^14 - 
     238*T1^10*T2^14 + 313*T1^11*T2^14 - 238*T1^12*T2^14 + 37*T1^13*T2^14 + 
     55*T1^14*T2^14 - 60*T1^15*T2^14 + 16*T1^16*T2^14 - 6*T1^7*T2^15 + 
     30*T1^8*T2^15 - 60*T1^9*T2^15 + 72*T1^10*T2^15 - 30*T1^11*T2^15 - 
     30*T1^12*T2^15 + 72*T1^13*T2^15 - 60*T1^14*T2^15 + 30*T1^15*T2^15 - 
     6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 16*T1^10*T2^16 - 
     28*T1^11*T2^16 + 33*T1^12*T2^16 - 28*T1^13*T2^16 + 16*T1^14*T2^16 - 
     6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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), (1 - 5*T1 + 14*T1^2 - 25*T1^3 + 29*T1^4 - 25*T1^5 + 14*T1^6 - 
     5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 45*T1^2*T2 + 55*T1^3*T2 - 20*T1^4*T2 - 
     20*T1^5*T2 + 55*T1^6*T2 - 45*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
     14*T2^2 - 45*T1*T2^2 + 83*T1^2*T2^2 - 62*T1^3*T2^2 - 41*T1^4*T2^2 + 
     53*T1^5*T2^2 - 41*T1^6*T2^2 - 62*T1^7*T2^2 + 83*T1^8*T2^2 - 
     45*T1^9*T2^2 + 14*T1^10*T2^2 - 25*T2^3 + 55*T1*T2^3 - 62*T1^2*T2^3 - 
     56*T1^3*T2^3 + 214*T1^4*T2^3 - 48*T1^5*T2^3 - 48*T1^6*T2^3 + 
     214*T1^7*T2^3 - 56*T1^8*T2^3 - 62*T1^9*T2^3 + 55*T1^10*T2^3 - 
     25*T1^11*T2^3 + 29*T2^4 - 20*T1*T2^4 - 41*T1^2*T2^4 + 214*T1^3*T2^4 - 
     191*T1^4*T2^4 - 362*T1^5*T2^4 + 389*T1^6*T2^4 - 362*T1^7*T2^4 - 
     191*T1^8*T2^4 + 214*T1^9*T2^4 - 41*T1^10*T2^4 - 20*T1^11*T2^4 + 
     29*T1^12*T2^4 - 25*T2^5 - 20*T1*T2^5 + 53*T1^2*T2^5 - 48*T1^3*T2^5 - 
     362*T1^4*T2^5 + 978*T1^5*T2^5 - 276*T1^6*T2^5 - 276*T1^7*T2^5 + 
     978*T1^8*T2^5 - 362*T1^9*T2^5 - 48*T1^10*T2^5 + 53*T1^11*T2^5 - 
     20*T1^12*T2^5 - 25*T1^13*T2^5 + 14*T2^6 + 55*T1*T2^6 - 41*T1^2*T2^6 - 
     48*T1^3*T2^6 + 389*T1^4*T2^6 - 276*T1^5*T2^6 - 1282*T1^6*T2^6 + 
     1576*T1^7*T2^6 - 1282*T1^8*T2^6 - 276*T1^9*T2^6 + 389*T1^10*T2^6 - 
     48*T1^11*T2^6 - 41*T1^12*T2^6 + 55*T1^13*T2^6 + 14*T1^14*T2^6 - 5*T2^7 - 
     45*T1*T2^7 - 62*T1^2*T2^7 + 214*T1^3*T2^7 - 362*T1^4*T2^7 - 
     276*T1^5*T2^7 + 1576*T1^6*T2^7 - 590*T1^7*T2^7 - 590*T1^8*T2^7 + 
     1576*T1^9*T2^7 - 276*T1^10*T2^7 - 362*T1^11*T2^7 + 214*T1^12*T2^7 - 
     62*T1^13*T2^7 - 45*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 
     83*T1^2*T2^8 - 56*T1^3*T2^8 - 191*T1^4*T2^8 + 978*T1^5*T2^8 - 
     1282*T1^6*T2^8 - 590*T1^7*T2^8 + 1152*T1^8*T2^8 - 590*T1^9*T2^8 - 
     1282*T1^10*T2^8 + 978*T1^11*T2^8 - 191*T1^12*T2^8 - 56*T1^13*T2^8 + 
     83*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 45*T1^2*T2^9 - 
     62*T1^3*T2^9 + 214*T1^4*T2^9 - 362*T1^5*T2^9 - 276*T1^6*T2^9 + 
     1576*T1^7*T2^9 - 590*T1^8*T2^9 - 590*T1^9*T2^9 + 1576*T1^10*T2^9 - 
     276*T1^11*T2^9 - 362*T1^12*T2^9 + 214*T1^13*T2^9 - 62*T1^14*T2^9 - 
     45*T1^15*T2^9 - 5*T1^16*T2^9 + 14*T1^2*T2^10 + 55*T1^3*T2^10 - 
     41*T1^4*T2^10 - 48*T1^5*T2^10 + 389*T1^6*T2^10 - 276*T1^7*T2^10 - 
     1282*T1^8*T2^10 + 1576*T1^9*T2^10 - 1282*T1^10*T2^10 - 276*T1^11*T2^10 + 
     389*T1^12*T2^10 - 48*T1^13*T2^10 - 41*T1^14*T2^10 + 55*T1^15*T2^10 + 
     14*T1^16*T2^10 - 25*T1^3*T2^11 - 20*T1^4*T2^11 + 53*T1^5*T2^11 - 
     48*T1^6*T2^11 - 362*T1^7*T2^11 + 978*T1^8*T2^11 - 276*T1^9*T2^11 - 
     276*T1^10*T2^11 + 978*T1^11*T2^11 - 362*T1^12*T2^11 - 48*T1^13*T2^11 + 
     53*T1^14*T2^11 - 20*T1^15*T2^11 - 25*T1^16*T2^11 + 29*T1^4*T2^12 - 
     20*T1^5*T2^12 - 41*T1^6*T2^12 + 214*T1^7*T2^12 - 191*T1^8*T2^12 - 
     362*T1^9*T2^12 + 389*T1^10*T2^12 - 362*T1^11*T2^12 - 191*T1^12*T2^12 + 
     214*T1^13*T2^12 - 41*T1^14*T2^12 - 20*T1^15*T2^12 + 29*T1^16*T2^12 - 
     25*T1^5*T2^13 + 55*T1^6*T2^13 - 62*T1^7*T2^13 - 56*T1^8*T2^13 + 
     214*T1^9*T2^13 - 48*T1^10*T2^13 - 48*T1^11*T2^13 + 214*T1^12*T2^13 - 
     56*T1^13*T2^13 - 62*T1^14*T2^13 + 55*T1^15*T2^13 - 25*T1^16*T2^13 + 
     14*T1^6*T2^14 - 45*T1^7*T2^14 + 83*T1^8*T2^14 - 62*T1^9*T2^14 - 
     41*T1^10*T2^14 + 53*T1^11*T2^14 - 41*T1^12*T2^14 - 62*T1^13*T2^14 + 
     83*T1^14*T2^14 - 45*T1^15*T2^14 + 14*T1^16*T2^14 - 5*T1^7*T2^15 + 
     20*T1^8*T2^15 - 45*T1^9*T2^15 + 55*T1^10*T2^15 - 20*T1^11*T2^15 - 
     20*T1^12*T2^15 + 55*T1^13*T2^15 - 45*T1^14*T2^15 + 20*T1^15*T2^15 - 
     5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 14*T1^10*T2^16 - 
     25*T1^11*T2^16 + 29*T1^12*T2^16 - 25*T1^13*T2^16 + 14*T1^14*T2^16 - 
     5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 159] -> 
  {(1 - 9*T + 27*T^2 - 37*T^3 + 27*T^4 - 9*T^5 + T^6)/T^3, 
   (1 - 9*T1 + 27*T1^2 - 37*T1^3 + 27*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
     72*T1*T2 - 162*T1^2*T2 + 90*T1^3*T2 + 90*T1^4*T2 - 162*T1^5*T2 + 
     72*T1^6*T2 - 9*T1^7*T2 + 27*T2^2 - 162*T1*T2^2 + 32*T1^2*T2^2 + 
     918*T1^3*T2^2 - 1498*T1^4*T2^2 + 918*T1^5*T2^2 + 32*T1^6*T2^2 - 
     162*T1^7*T2^2 + 27*T1^8*T2^2 - 37*T2^3 + 90*T1*T2^3 + 918*T1^2*T2^3 - 
     2934*T1^3*T2^3 + 1702*T1^4*T2^3 + 1702*T1^5*T2^3 - 2934*T1^6*T2^3 + 
     918*T1^7*T2^3 + 90*T1^8*T2^3 - 37*T1^9*T2^3 + 27*T2^4 + 90*T1*T2^4 - 
     1498*T1^2*T2^4 + 1702*T1^3*T2^4 + 4812*T1^4*T2^4 - 9002*T1^5*T2^4 + 
     4812*T1^6*T2^4 + 1702*T1^7*T2^4 - 1498*T1^8*T2^4 + 90*T1^9*T2^4 + 
     27*T1^10*T2^4 - 9*T2^5 - 162*T1*T2^5 + 918*T1^2*T2^5 + 1702*T1^3*T2^5 - 
     9002*T1^4*T2^5 + 5528*T1^5*T2^5 + 5528*T1^6*T2^5 - 9002*T1^7*T2^5 + 
     1702*T1^8*T2^5 + 918*T1^9*T2^5 - 162*T1^10*T2^5 - 9*T1^11*T2^5 + T2^6 + 
     72*T1*T2^6 + 32*T1^2*T2^6 - 2934*T1^3*T2^6 + 4812*T1^4*T2^6 + 
     5528*T1^5*T2^6 - 12636*T1^6*T2^6 + 5528*T1^7*T2^6 + 4812*T1^8*T2^6 - 
     2934*T1^9*T2^6 + 32*T1^10*T2^6 + 72*T1^11*T2^6 + T1^12*T2^6 - 
     9*T1*T2^7 - 162*T1^2*T2^7 + 918*T1^3*T2^7 + 1702*T1^4*T2^7 - 
     9002*T1^5*T2^7 + 5528*T1^6*T2^7 + 5528*T1^7*T2^7 - 9002*T1^8*T2^7 + 
     1702*T1^9*T2^7 + 918*T1^10*T2^7 - 162*T1^11*T2^7 - 9*T1^12*T2^7 + 
     27*T1^2*T2^8 + 90*T1^3*T2^8 - 1498*T1^4*T2^8 + 1702*T1^5*T2^8 + 
     4812*T1^6*T2^8 - 9002*T1^7*T2^8 + 4812*T1^8*T2^8 + 1702*T1^9*T2^8 - 
     1498*T1^10*T2^8 + 90*T1^11*T2^8 + 27*T1^12*T2^8 - 37*T1^3*T2^9 + 
     90*T1^4*T2^9 + 918*T1^5*T2^9 - 2934*T1^6*T2^9 + 1702*T1^7*T2^9 + 
     1702*T1^8*T2^9 - 2934*T1^9*T2^9 + 918*T1^10*T2^9 + 90*T1^11*T2^9 - 
     37*T1^12*T2^9 + 27*T1^4*T2^10 - 162*T1^5*T2^10 + 32*T1^6*T2^10 + 
     918*T1^7*T2^10 - 1498*T1^8*T2^10 + 918*T1^9*T2^10 + 32*T1^10*T2^10 - 
     162*T1^11*T2^10 + 27*T1^12*T2^10 - 9*T1^5*T2^11 + 72*T1^6*T2^11 - 
     162*T1^7*T2^11 + 90*T1^8*T2^11 + 90*T1^9*T2^11 - 162*T1^10*T2^11 + 
     72*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 
     27*T1^8*T2^12 - 37*T1^9*T2^12 + 27*T1^10*T2^12 - 9*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   (2 - 9*T1 + 21*T1^2 - 28*T1^3 + 21*T1^4 - 9*T1^5 + 2*T1^6 - 9*T2 + 
     32*T1*T2 - 56*T1^2*T2 + 30*T1^3*T2 + 30*T1^4*T2 - 56*T1^5*T2 + 
     32*T1^6*T2 - 9*T1^7*T2 + 21*T2^2 - 56*T1*T2^2 + 57*T1^2*T2^2 + 
     75*T1^3*T2^2 - 147*T1^4*T2^2 + 75*T1^5*T2^2 + 57*T1^6*T2^2 - 
     56*T1^7*T2^2 + 21*T1^8*T2^2 - 28*T2^3 + 30*T1*T2^3 + 75*T1^2*T2^3 - 
     312*T1^3*T2^3 + 146*T1^4*T2^3 + 146*T1^5*T2^3 - 312*T1^6*T2^3 + 
     75*T1^7*T2^3 + 30*T1^8*T2^3 - 28*T1^9*T2^3 + 21*T2^4 + 30*T1*T2^4 - 
     147*T1^2*T2^4 + 146*T1^3*T2^4 + 537*T1^4*T2^4 - 753*T1^5*T2^4 + 
     537*T1^6*T2^4 + 146*T1^7*T2^4 - 147*T1^8*T2^4 + 30*T1^9*T2^4 + 
     21*T1^10*T2^4 - 9*T2^5 - 56*T1*T2^5 + 75*T1^2*T2^5 + 146*T1^3*T2^5 - 
     753*T1^4*T2^5 + 254*T1^5*T2^5 + 254*T1^6*T2^5 - 753*T1^7*T2^5 + 
     146*T1^8*T2^5 + 75*T1^9*T2^5 - 56*T1^10*T2^5 - 9*T1^11*T2^5 + 2*T2^6 + 
     32*T1*T2^6 + 57*T1^2*T2^6 - 312*T1^3*T2^6 + 537*T1^4*T2^6 + 
     254*T1^5*T2^6 - 336*T1^6*T2^6 + 254*T1^7*T2^6 + 537*T1^8*T2^6 - 
     312*T1^9*T2^6 + 57*T1^10*T2^6 + 32*T1^11*T2^6 + 2*T1^12*T2^6 - 
     9*T1*T2^7 - 56*T1^2*T2^7 + 75*T1^3*T2^7 + 146*T1^4*T2^7 - 
     753*T1^5*T2^7 + 254*T1^6*T2^7 + 254*T1^7*T2^7 - 753*T1^8*T2^7 + 
     146*T1^9*T2^7 + 75*T1^10*T2^7 - 56*T1^11*T2^7 - 9*T1^12*T2^7 + 
     21*T1^2*T2^8 + 30*T1^3*T2^8 - 147*T1^4*T2^8 + 146*T1^5*T2^8 + 
     537*T1^6*T2^8 - 753*T1^7*T2^8 + 537*T1^8*T2^8 + 146*T1^9*T2^8 - 
     147*T1^10*T2^8 + 30*T1^11*T2^8 + 21*T1^12*T2^8 - 28*T1^3*T2^9 + 
     30*T1^4*T2^9 + 75*T1^5*T2^9 - 312*T1^6*T2^9 + 146*T1^7*T2^9 + 
     146*T1^8*T2^9 - 312*T1^9*T2^9 + 75*T1^10*T2^9 + 30*T1^11*T2^9 - 
     28*T1^12*T2^9 + 21*T1^4*T2^10 - 56*T1^5*T2^10 + 57*T1^6*T2^10 + 
     75*T1^7*T2^10 - 147*T1^8*T2^10 + 75*T1^9*T2^10 + 57*T1^10*T2^10 - 
     56*T1^11*T2^10 + 21*T1^12*T2^10 - 9*T1^5*T2^11 + 32*T1^6*T2^11 - 
     56*T1^7*T2^11 + 30*T1^8*T2^11 + 30*T1^9*T2^11 - 56*T1^10*T2^11 + 
     32*T1^11*T2^11 - 9*T1^12*T2^11 + 2*T1^6*T2^12 - 9*T1^7*T2^12 + 
     21*T1^8*T2^12 - 28*T1^9*T2^12 + 21*T1^10*T2^12 - 9*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, Alternating, 161] -> 
  {-((2 - 8*T + 12*T^2 - 13*T^3 + 12*T^4 - 8*T^5 + 2*T^6)/T^3), 
   (15 - 59*T1 + 88*T1^2 - 95*T1^3 + 88*T1^4 - 59*T1^5 + 15*T1^6 - 59*T2 + 
     172*T1*T2 - 113*T1^2*T2 + 27*T1^3*T2 + 27*T1^4*T2 - 113*T1^5*T2 + 
     172*T1^6*T2 - 59*T1^7*T2 + 88*T2^2 - 113*T1*T2^2 - 306*T1^2*T2^2 + 
     472*T1^3*T2^2 - 458*T1^4*T2^2 + 472*T1^5*T2^2 - 306*T1^6*T2^2 - 
     113*T1^7*T2^2 + 88*T1^8*T2^2 - 95*T2^3 + 27*T1*T2^3 + 472*T1^2*T2^3 - 
     256*T1^3*T2^3 + 22*T1^4*T2^3 + 22*T1^5*T2^3 - 256*T1^6*T2^3 + 
     472*T1^7*T2^3 + 27*T1^8*T2^3 - 95*T1^9*T2^3 + 88*T2^4 + 27*T1*T2^4 - 
     458*T1^2*T2^4 + 22*T1^3*T2^4 + 68*T1^4*T2^4 + 28*T1^5*T2^4 + 
     68*T1^6*T2^4 + 22*T1^7*T2^4 - 458*T1^8*T2^4 + 27*T1^9*T2^4 + 
     88*T1^10*T2^4 - 59*T2^5 - 113*T1*T2^5 + 472*T1^2*T2^5 + 22*T1^3*T2^5 + 
     28*T1^4*T2^5 - 72*T1^5*T2^5 - 72*T1^6*T2^5 + 28*T1^7*T2^5 + 
     22*T1^8*T2^5 + 472*T1^9*T2^5 - 113*T1^10*T2^5 - 59*T1^11*T2^5 + 
     15*T2^6 + 172*T1*T2^6 - 306*T1^2*T2^6 - 256*T1^3*T2^6 + 68*T1^4*T2^6 - 
     72*T1^5*T2^6 + 180*T1^6*T2^6 - 72*T1^7*T2^6 + 68*T1^8*T2^6 - 
     256*T1^9*T2^6 - 306*T1^10*T2^6 + 172*T1^11*T2^6 + 15*T1^12*T2^6 - 
     59*T1*T2^7 - 113*T1^2*T2^7 + 472*T1^3*T2^7 + 22*T1^4*T2^7 + 
     28*T1^5*T2^7 - 72*T1^6*T2^7 - 72*T1^7*T2^7 + 28*T1^8*T2^7 + 
     22*T1^9*T2^7 + 472*T1^10*T2^7 - 113*T1^11*T2^7 - 59*T1^12*T2^7 + 
     88*T1^2*T2^8 + 27*T1^3*T2^8 - 458*T1^4*T2^8 + 22*T1^5*T2^8 + 
     68*T1^6*T2^8 + 28*T1^7*T2^8 + 68*T1^8*T2^8 + 22*T1^9*T2^8 - 
     458*T1^10*T2^8 + 27*T1^11*T2^8 + 88*T1^12*T2^8 - 95*T1^3*T2^9 + 
     27*T1^4*T2^9 + 472*T1^5*T2^9 - 256*T1^6*T2^9 + 22*T1^7*T2^9 + 
     22*T1^8*T2^9 - 256*T1^9*T2^9 + 472*T1^10*T2^9 + 27*T1^11*T2^9 - 
     95*T1^12*T2^9 + 88*T1^4*T2^10 - 113*T1^5*T2^10 - 306*T1^6*T2^10 + 
     472*T1^7*T2^10 - 458*T1^8*T2^10 + 472*T1^9*T2^10 - 306*T1^10*T2^10 - 
     113*T1^11*T2^10 + 88*T1^12*T2^10 - 59*T1^5*T2^11 + 172*T1^6*T2^11 - 
     113*T1^7*T2^11 + 27*T1^8*T2^11 + 27*T1^9*T2^11 - 113*T1^10*T2^11 + 
     172*T1^11*T2^11 - 59*T1^12*T2^11 + 15*T1^6*T2^12 - 59*T1^7*T2^12 + 
     88*T1^8*T2^12 - 95*T1^9*T2^12 + 88*T1^10*T2^12 - 59*T1^11*T2^12 + 
     15*T1^12*T2^12)/(T1^6*T2^6)}, 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), (1 - 7*T1 + 20*T1^2 - 35*T1^3 + 41*T1^4 - 35*T1^5 + 20*T1^6 - 
     7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 91*T1^2*T2 + 105*T1^3*T2 - 
     42*T1^4*T2 - 42*T1^5*T2 + 105*T1^6*T2 - 91*T1^7*T2 + 42*T1^8*T2 - 
     7*T1^9*T2 + 20*T2^2 - 91*T1*T2^2 + 76*T1^2*T2^2 + 147*T1^3*T2^2 - 
     511*T1^4*T2^2 + 630*T1^5*T2^2 - 511*T1^6*T2^2 + 147*T1^7*T2^2 + 
     76*T1^8*T2^2 - 91*T1^9*T2^2 + 20*T1^10*T2^2 - 35*T2^3 + 105*T1*T2^3 + 
     147*T1^2*T2^3 - 668*T1^3*T2^3 + 973*T1^4*T2^3 - 353*T1^5*T2^3 - 
     353*T1^6*T2^3 + 973*T1^7*T2^3 - 668*T1^8*T2^3 + 147*T1^9*T2^3 + 
     105*T1^10*T2^3 - 35*T1^11*T2^3 + 41*T2^4 - 42*T1*T2^4 - 511*T1^2*T2^4 + 
     973*T1^3*T2^4 - 572*T1^4*T2^4 - 982*T1^5*T2^4 + 1286*T1^6*T2^4 - 
     982*T1^7*T2^4 - 572*T1^8*T2^4 + 973*T1^9*T2^4 - 511*T1^10*T2^4 - 
     42*T1^11*T2^4 + 41*T1^12*T2^4 - 35*T2^5 - 42*T1*T2^5 + 630*T1^2*T2^5 - 
     353*T1^3*T2^5 - 982*T1^4*T2^5 + 2434*T1^5*T2^5 - 761*T1^6*T2^5 - 
     761*T1^7*T2^5 + 2434*T1^8*T2^5 - 982*T1^9*T2^5 - 353*T1^10*T2^5 + 
     630*T1^11*T2^5 - 42*T1^12*T2^5 - 35*T1^13*T2^5 + 20*T2^6 + 105*T1*T2^6 - 
     511*T1^2*T2^6 - 353*T1^3*T2^6 + 1286*T1^4*T2^6 - 761*T1^5*T2^6 - 
     3001*T1^6*T2^6 + 3657*T1^7*T2^6 - 3001*T1^8*T2^6 - 761*T1^9*T2^6 + 
     1286*T1^10*T2^6 - 353*T1^11*T2^6 - 511*T1^12*T2^6 + 105*T1^13*T2^6 + 
     20*T1^14*T2^6 - 7*T2^7 - 91*T1*T2^7 + 147*T1^2*T2^7 + 973*T1^3*T2^7 - 
     982*T1^4*T2^7 - 761*T1^5*T2^7 + 3657*T1^6*T2^7 - 1164*T1^7*T2^7 - 
     1164*T1^8*T2^7 + 3657*T1^9*T2^7 - 761*T1^10*T2^7 - 982*T1^11*T2^7 + 
     973*T1^12*T2^7 + 147*T1^13*T2^7 - 91*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 
     42*T1*T2^8 + 76*T1^2*T2^8 - 668*T1^3*T2^8 - 572*T1^4*T2^8 + 
     2434*T1^5*T2^8 - 3001*T1^6*T2^8 - 1164*T1^7*T2^8 + 1872*T1^8*T2^8 - 
     1164*T1^9*T2^8 - 3001*T1^10*T2^8 + 2434*T1^11*T2^8 - 572*T1^12*T2^8 - 
     668*T1^13*T2^8 + 76*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 
     7*T1*T2^9 - 91*T1^2*T2^9 + 147*T1^3*T2^9 + 973*T1^4*T2^9 - 
     982*T1^5*T2^9 - 761*T1^6*T2^9 + 3657*T1^7*T2^9 - 1164*T1^8*T2^9 - 
     1164*T1^9*T2^9 + 3657*T1^10*T2^9 - 761*T1^11*T2^9 - 982*T1^12*T2^9 + 
     973*T1^13*T2^9 + 147*T1^14*T2^9 - 91*T1^15*T2^9 - 7*T1^16*T2^9 + 
     20*T1^2*T2^10 + 105*T1^3*T2^10 - 511*T1^4*T2^10 - 353*T1^5*T2^10 + 
     1286*T1^6*T2^10 - 761*T1^7*T2^10 - 3001*T1^8*T2^10 + 3657*T1^9*T2^10 - 
     3001*T1^10*T2^10 - 761*T1^11*T2^10 + 1286*T1^12*T2^10 - 
     353*T1^13*T2^10 - 511*T1^14*T2^10 + 105*T1^15*T2^10 + 20*T1^16*T2^10 - 
     35*T1^3*T2^11 - 42*T1^4*T2^11 + 630*T1^5*T2^11 - 353*T1^6*T2^11 - 
     982*T1^7*T2^11 + 2434*T1^8*T2^11 - 761*T1^9*T2^11 - 761*T1^10*T2^11 + 
     2434*T1^11*T2^11 - 982*T1^12*T2^11 - 353*T1^13*T2^11 + 630*T1^14*T2^11 - 
     42*T1^15*T2^11 - 35*T1^16*T2^11 + 41*T1^4*T2^12 - 42*T1^5*T2^12 - 
     511*T1^6*T2^12 + 973*T1^7*T2^12 - 572*T1^8*T2^12 - 982*T1^9*T2^12 + 
     1286*T1^10*T2^12 - 982*T1^11*T2^12 - 572*T1^12*T2^12 + 973*T1^13*T2^12 - 
     511*T1^14*T2^12 - 42*T1^15*T2^12 + 41*T1^16*T2^12 - 35*T1^5*T2^13 + 
     105*T1^6*T2^13 + 147*T1^7*T2^13 - 668*T1^8*T2^13 + 973*T1^9*T2^13 - 
     353*T1^10*T2^13 - 353*T1^11*T2^13 + 973*T1^12*T2^13 - 668*T1^13*T2^13 + 
     147*T1^14*T2^13 + 105*T1^15*T2^13 - 35*T1^16*T2^13 + 20*T1^6*T2^14 - 
     91*T1^7*T2^14 + 76*T1^8*T2^14 + 147*T1^9*T2^14 - 511*T1^10*T2^14 + 
     630*T1^11*T2^14 - 511*T1^12*T2^14 + 147*T1^13*T2^14 + 76*T1^14*T2^14 - 
     91*T1^15*T2^14 + 20*T1^16*T2^14 - 7*T1^7*T2^15 + 42*T1^8*T2^15 - 
     91*T1^9*T2^15 + 105*T1^10*T2^15 - 42*T1^11*T2^15 - 42*T1^12*T2^15 + 
     105*T1^13*T2^15 - 91*T1^14*T2^15 + 42*T1^15*T2^15 - 7*T1^16*T2^15 + 
     T1^8*T2^16 - 7*T1^9*T2^16 + 20*T1^10*T2^16 - 35*T1^11*T2^16 + 
     41*T1^12*T2^16 - 35*T1^13*T2^16 + 20*T1^14*T2^16 - 7*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, 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), -((1 - 6*T1 + 15*T1^2 - 24*T1^3 + 27*T1^4 - 24*T1^5 + 15*T1^6 - 
      6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 54*T1^2*T2 + 54*T1^3*T2 - 
      18*T1^4*T2 - 18*T1^5*T2 + 54*T1^6*T2 - 54*T1^7*T2 + 30*T1^8*T2 - 
      6*T1^9*T2 + 15*T2^2 - 54*T1*T2^2 + 22*T1^2*T2^2 + 100*T1^3*T2^2 - 
      254*T1^4*T2^2 + 278*T1^5*T2^2 - 254*T1^6*T2^2 + 100*T1^7*T2^2 + 
      22*T1^8*T2^2 - 54*T1^9*T2^2 + 15*T1^10*T2^2 - 24*T2^3 + 54*T1*T2^3 + 
      100*T1^2*T2^3 - 302*T1^3*T2^3 + 365*T1^4*T2^3 - 91*T1^5*T2^3 - 
      91*T1^6*T2^3 + 365*T1^7*T2^3 - 302*T1^8*T2^3 + 100*T1^9*T2^3 + 
      54*T1^10*T2^3 - 24*T1^11*T2^3 + 27*T2^4 - 18*T1*T2^4 - 254*T1^2*T2^4 + 
      365*T1^3*T2^4 - 143*T1^4*T2^4 - 387*T1^5*T2^4 + 377*T1^6*T2^4 - 
      387*T1^7*T2^4 - 143*T1^8*T2^4 + 365*T1^9*T2^4 - 254*T1^10*T2^4 - 
      18*T1^11*T2^4 + 27*T1^12*T2^4 - 24*T2^5 - 18*T1*T2^5 + 278*T1^2*T2^5 - 
      91*T1^3*T2^5 - 387*T1^4*T2^5 + 764*T1^5*T2^5 - 167*T1^6*T2^5 - 
      167*T1^7*T2^5 + 764*T1^8*T2^5 - 387*T1^9*T2^5 - 91*T1^10*T2^5 + 
      278*T1^11*T2^5 - 18*T1^12*T2^5 - 24*T1^13*T2^5 + 15*T2^6 + 54*T1*T2^6 - 
      254*T1^2*T2^6 - 91*T1^3*T2^6 + 377*T1^4*T2^6 - 167*T1^5*T2^6 - 
      848*T1^6*T2^6 + 928*T1^7*T2^6 - 848*T1^8*T2^6 - 167*T1^9*T2^6 + 
      377*T1^10*T2^6 - 91*T1^11*T2^6 - 254*T1^12*T2^6 + 54*T1^13*T2^6 + 
      15*T1^14*T2^6 - 6*T2^7 - 54*T1*T2^7 + 100*T1^2*T2^7 + 365*T1^3*T2^7 - 
      387*T1^4*T2^7 - 167*T1^5*T2^7 + 928*T1^6*T2^7 - 290*T1^7*T2^7 - 
      290*T1^8*T2^7 + 928*T1^9*T2^7 - 167*T1^10*T2^7 - 387*T1^11*T2^7 + 
      365*T1^12*T2^7 + 100*T1^13*T2^7 - 54*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 
      30*T1*T2^8 + 22*T1^2*T2^8 - 302*T1^3*T2^8 - 143*T1^4*T2^8 + 
      764*T1^5*T2^8 - 848*T1^6*T2^8 - 290*T1^7*T2^8 + 540*T1^8*T2^8 - 
      290*T1^9*T2^8 - 848*T1^10*T2^8 + 764*T1^11*T2^8 - 143*T1^12*T2^8 - 
      302*T1^13*T2^8 + 22*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 
      6*T1*T2^9 - 54*T1^2*T2^9 + 100*T1^3*T2^9 + 365*T1^4*T2^9 - 
      387*T1^5*T2^9 - 167*T1^6*T2^9 + 928*T1^7*T2^9 - 290*T1^8*T2^9 - 
      290*T1^9*T2^9 + 928*T1^10*T2^9 - 167*T1^11*T2^9 - 387*T1^12*T2^9 + 
      365*T1^13*T2^9 + 100*T1^14*T2^9 - 54*T1^15*T2^9 - 6*T1^16*T2^9 + 
      15*T1^2*T2^10 + 54*T1^3*T2^10 - 254*T1^4*T2^10 - 91*T1^5*T2^10 + 
      377*T1^6*T2^10 - 167*T1^7*T2^10 - 848*T1^8*T2^10 + 928*T1^9*T2^10 - 
      848*T1^10*T2^10 - 167*T1^11*T2^10 + 377*T1^12*T2^10 - 91*T1^13*T2^10 - 
      254*T1^14*T2^10 + 54*T1^15*T2^10 + 15*T1^16*T2^10 - 24*T1^3*T2^11 - 
      18*T1^4*T2^11 + 278*T1^5*T2^11 - 91*T1^6*T2^11 - 387*T1^7*T2^11 + 
      764*T1^8*T2^11 - 167*T1^9*T2^11 - 167*T1^10*T2^11 + 764*T1^11*T2^11 - 
      387*T1^12*T2^11 - 91*T1^13*T2^11 + 278*T1^14*T2^11 - 18*T1^15*T2^11 - 
      24*T1^16*T2^11 + 27*T1^4*T2^12 - 18*T1^5*T2^12 - 254*T1^6*T2^12 + 
      365*T1^7*T2^12 - 143*T1^8*T2^12 - 387*T1^9*T2^12 + 377*T1^10*T2^12 - 
      387*T1^11*T2^12 - 143*T1^12*T2^12 + 365*T1^13*T2^12 - 254*T1^14*T2^12 - 
      18*T1^15*T2^12 + 27*T1^16*T2^12 - 24*T1^5*T2^13 + 54*T1^6*T2^13 + 
      100*T1^7*T2^13 - 302*T1^8*T2^13 + 365*T1^9*T2^13 - 91*T1^10*T2^13 - 
      91*T1^11*T2^13 + 365*T1^12*T2^13 - 302*T1^13*T2^13 + 100*T1^14*T2^13 + 
      54*T1^15*T2^13 - 24*T1^16*T2^13 + 15*T1^6*T2^14 - 54*T1^7*T2^14 + 
      22*T1^8*T2^14 + 100*T1^9*T2^14 - 254*T1^10*T2^14 + 278*T1^11*T2^14 - 
      254*T1^12*T2^14 + 100*T1^13*T2^14 + 22*T1^14*T2^14 - 54*T1^15*T2^14 + 
      15*T1^16*T2^14 - 6*T1^7*T2^15 + 30*T1^8*T2^15 - 54*T1^9*T2^15 + 
      54*T1^10*T2^15 - 18*T1^11*T2^15 - 18*T1^12*T2^15 + 54*T1^13*T2^15 - 
      54*T1^14*T2^15 + 30*T1^15*T2^15 - 6*T1^16*T2^15 + T1^8*T2^16 - 
      6*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 - 6*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, 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, 
   -((1 - 5*T1 + 10*T1^2 - 11*T1^3 + 10*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
      22*T1*T2 - 33*T1^2*T2 + 10*T1^3*T2 + 10*T1^4*T2 - 33*T1^5*T2 + 
      22*T1^6*T2 - 5*T1^7*T2 + 10*T2^2 - 33*T1*T2^2 + 2*T1^2*T2^2 + 
      133*T1^3*T2^2 - 158*T1^4*T2^2 + 133*T1^5*T2^2 + 2*T1^6*T2^2 - 
      33*T1^7*T2^2 + 10*T1^8*T2^2 - 11*T2^3 + 10*T1*T2^3 + 133*T1^2*T2^3 - 
      360*T1^3*T2^3 + 118*T1^4*T2^3 + 118*T1^5*T2^3 - 360*T1^6*T2^3 + 
      133*T1^7*T2^3 + 10*T1^8*T2^3 - 11*T1^9*T2^3 + 10*T2^4 + 10*T1*T2^4 - 
      158*T1^2*T2^4 + 118*T1^3*T2^4 + 652*T1^4*T2^4 - 772*T1^5*T2^4 + 
      652*T1^6*T2^4 + 118*T1^7*T2^4 - 158*T1^8*T2^4 + 10*T1^9*T2^4 + 
      10*T1^10*T2^4 - 5*T2^5 - 33*T1*T2^5 + 133*T1^2*T2^5 + 118*T1^3*T2^5 - 
      772*T1^4*T2^5 + 168*T1^5*T2^5 + 168*T1^6*T2^5 - 772*T1^7*T2^5 + 
      118*T1^8*T2^5 + 133*T1^9*T2^5 - 33*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
      22*T1*T2^6 + 2*T1^2*T2^6 - 360*T1^3*T2^6 + 652*T1^4*T2^6 + 
      168*T1^5*T2^6 - 60*T1^6*T2^6 + 168*T1^7*T2^6 + 652*T1^8*T2^6 - 
      360*T1^9*T2^6 + 2*T1^10*T2^6 + 22*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
      33*T1^2*T2^7 + 133*T1^3*T2^7 + 118*T1^4*T2^7 - 772*T1^5*T2^7 + 
      168*T1^6*T2^7 + 168*T1^7*T2^7 - 772*T1^8*T2^7 + 118*T1^9*T2^7 + 
      133*T1^10*T2^7 - 33*T1^11*T2^7 - 5*T1^12*T2^7 + 10*T1^2*T2^8 + 
      10*T1^3*T2^8 - 158*T1^4*T2^8 + 118*T1^5*T2^8 + 652*T1^6*T2^8 - 
      772*T1^7*T2^8 + 652*T1^8*T2^8 + 118*T1^9*T2^8 - 158*T1^10*T2^8 + 
      10*T1^11*T2^8 + 10*T1^12*T2^8 - 11*T1^3*T2^9 + 10*T1^4*T2^9 + 
      133*T1^5*T2^9 - 360*T1^6*T2^9 + 118*T1^7*T2^9 + 118*T1^8*T2^9 - 
      360*T1^9*T2^9 + 133*T1^10*T2^9 + 10*T1^11*T2^9 - 11*T1^12*T2^9 + 
      10*T1^4*T2^10 - 33*T1^5*T2^10 + 2*T1^6*T2^10 + 133*T1^7*T2^10 - 
      158*T1^8*T2^10 + 133*T1^9*T2^10 + 2*T1^10*T2^10 - 33*T1^11*T2^10 + 
      10*T1^12*T2^10 - 5*T1^5*T2^11 + 22*T1^6*T2^11 - 33*T1^7*T2^11 + 
      10*T1^8*T2^11 + 10*T1^9*T2^11 - 33*T1^10*T2^11 + 22*T1^11*T2^11 - 
      5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 10*T1^8*T2^12 - 
      11*T1^9*T2^12 + 10*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[11, Alternating, 165] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)^2)/T^3), 
   -((1 - 5*T1 + 10*T1^2 - 13*T1^3 + 10*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
      20*T1*T2 - 25*T1^2*T2 + 15*T1^3*T2 + 15*T1^4*T2 - 25*T1^5*T2 + 
      20*T1^6*T2 - 5*T1^7*T2 + 10*T2^2 - 25*T1*T2^2 - 14*T1^2*T2^2 + 
      52*T1^3*T2^2 - 90*T1^4*T2^2 + 52*T1^5*T2^2 - 14*T1^6*T2^2 - 
      25*T1^7*T2^2 + 10*T1^8*T2^2 - 13*T2^3 + 15*T1*T2^3 + 52*T1^2*T2^3 + 
      4*T1^3*T2^3 + 11*T1^4*T2^3 + 11*T1^5*T2^3 + 4*T1^6*T2^3 + 
      52*T1^7*T2^3 + 15*T1^8*T2^3 - 13*T1^9*T2^3 + 10*T2^4 + 15*T1*T2^4 - 
      90*T1^2*T2^4 + 11*T1^3*T2^4 - 324*T1^4*T2^4 + 428*T1^5*T2^4 - 
      324*T1^6*T2^4 + 11*T1^7*T2^4 - 90*T1^8*T2^4 + 15*T1^9*T2^4 + 
      10*T1^10*T2^4 - 5*T2^5 - 25*T1*T2^5 + 52*T1^2*T2^5 + 11*T1^3*T2^5 + 
      428*T1^4*T2^5 - 184*T1^5*T2^5 - 184*T1^6*T2^5 + 428*T1^7*T2^5 + 
      11*T1^8*T2^5 + 52*T1^9*T2^5 - 25*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
      20*T1*T2^6 - 14*T1^2*T2^6 + 4*T1^3*T2^6 - 324*T1^4*T2^6 - 
      184*T1^5*T2^6 + 336*T1^6*T2^6 - 184*T1^7*T2^6 - 324*T1^8*T2^6 + 
      4*T1^9*T2^6 - 14*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
      25*T1^2*T2^7 + 52*T1^3*T2^7 + 11*T1^4*T2^7 + 428*T1^5*T2^7 - 
      184*T1^6*T2^7 - 184*T1^7*T2^7 + 428*T1^8*T2^7 + 11*T1^9*T2^7 + 
      52*T1^10*T2^7 - 25*T1^11*T2^7 - 5*T1^12*T2^7 + 10*T1^2*T2^8 + 
      15*T1^3*T2^8 - 90*T1^4*T2^8 + 11*T1^5*T2^8 - 324*T1^6*T2^8 + 
      428*T1^7*T2^8 - 324*T1^8*T2^8 + 11*T1^9*T2^8 - 90*T1^10*T2^8 + 
      15*T1^11*T2^8 + 10*T1^12*T2^8 - 13*T1^3*T2^9 + 15*T1^4*T2^9 + 
      52*T1^5*T2^9 + 4*T1^6*T2^9 + 11*T1^7*T2^9 + 11*T1^8*T2^9 + 
      4*T1^9*T2^9 + 52*T1^10*T2^9 + 15*T1^11*T2^9 - 13*T1^12*T2^9 + 
      10*T1^4*T2^10 - 25*T1^5*T2^10 - 14*T1^6*T2^10 + 52*T1^7*T2^10 - 
      90*T1^8*T2^10 + 52*T1^9*T2^10 - 14*T1^10*T2^10 - 25*T1^11*T2^10 + 
      10*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 25*T1^7*T2^11 + 
      15*T1^8*T2^11 + 15*T1^9*T2^11 - 25*T1^10*T2^11 + 20*T1^11*T2^11 - 
      5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 10*T1^8*T2^12 - 
      13*T1^9*T2^12 + 10*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[11, Alternating, 166] -> 
  {-((4 - 15*T + 21*T^2 - 15*T^3 + 4*T^4)/T^2), 
   (-2*(32 - 118*T1 + 164*T1^2 - 118*T1^3 + 32*T1^4 - 118*T2 + 315*T1*T2 - 
      168*T1^2*T2 - 168*T1^3*T2 + 315*T1^4*T2 - 118*T1^5*T2 + 164*T2^2 - 
      168*T1*T2^2 - 601*T1^2*T2^2 + 1037*T1^3*T2^2 - 601*T1^4*T2^2 - 
      168*T1^5*T2^2 + 164*T1^6*T2^2 - 118*T2^3 - 168*T1*T2^3 + 
      1037*T1^2*T2^3 - 603*T1^3*T2^3 - 603*T1^4*T2^3 + 1037*T1^5*T2^3 - 
      168*T1^6*T2^3 - 118*T1^7*T2^3 + 32*T2^4 + 315*T1*T2^4 - 601*T1^2*T2^4 - 
      603*T1^3*T2^4 + 1368*T1^4*T2^4 - 603*T1^5*T2^4 - 601*T1^6*T2^4 + 
      315*T1^7*T2^4 + 32*T1^8*T2^4 - 118*T1*T2^5 - 168*T1^2*T2^5 + 
      1037*T1^3*T2^5 - 603*T1^4*T2^5 - 603*T1^5*T2^5 + 1037*T1^6*T2^5 - 
      168*T1^7*T2^5 - 118*T1^8*T2^5 + 164*T1^2*T2^6 - 168*T1^3*T2^6 - 
      601*T1^4*T2^6 + 1037*T1^5*T2^6 - 601*T1^6*T2^6 - 168*T1^7*T2^6 + 
      164*T1^8*T2^6 - 118*T1^3*T2^7 + 315*T1^4*T2^7 - 168*T1^5*T2^7 - 
      168*T1^6*T2^7 + 315*T1^7*T2^7 - 118*T1^8*T2^7 + 32*T1^4*T2^8 - 
      118*T1^5*T2^8 + 164*T1^6*T2^8 - 118*T1^7*T2^8 + 32*T1^8*T2^8))/
    (T1^4*T2^4)}, Knot[11, Alternating, 167] -> 
  {-((2 - 11*T + 26*T^2 - 35*T^3 + 26*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((1 - 6*T1 + 14*T1^2 - 19*T1^3 + 14*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
      30*T1*T2 - 48*T1^2*T2 + 30*T1^3*T2 + 30*T1^4*T2 - 48*T1^5*T2 + 
      30*T1^6*T2 - 6*T1^7*T2 + 14*T2^2 - 48*T1*T2^2 - 11*T1^2*T2^2 + 
      175*T1^3*T2^2 - 321*T1^4*T2^2 + 175*T1^5*T2^2 - 11*T1^6*T2^2 - 
      48*T1^7*T2^2 + 14*T1^8*T2^2 - 19*T2^3 + 30*T1*T2^3 + 175*T1^2*T2^3 - 
      396*T1^3*T2^3 + 299*T1^4*T2^3 + 299*T1^5*T2^3 - 396*T1^6*T2^3 + 
      175*T1^7*T2^3 + 30*T1^8*T2^3 - 19*T1^9*T2^3 + 14*T2^4 + 30*T1*T2^4 - 
      321*T1^2*T2^4 + 299*T1^3*T2^4 + 264*T1^4*T2^4 - 916*T1^5*T2^4 + 
      264*T1^6*T2^4 + 299*T1^7*T2^4 - 321*T1^8*T2^4 + 30*T1^9*T2^4 + 
      14*T1^10*T2^4 - 6*T2^5 - 48*T1*T2^5 + 175*T1^2*T2^5 + 299*T1^3*T2^5 - 
      916*T1^4*T2^5 + 740*T1^5*T2^5 + 740*T1^6*T2^5 - 916*T1^7*T2^5 + 
      299*T1^8*T2^5 + 175*T1^9*T2^5 - 48*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
      30*T1*T2^6 - 11*T1^2*T2^6 - 396*T1^3*T2^6 + 264*T1^4*T2^6 + 
      740*T1^5*T2^6 - 1800*T1^6*T2^6 + 740*T1^7*T2^6 + 264*T1^8*T2^6 - 
      396*T1^9*T2^6 - 11*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 
      6*T1*T2^7 - 48*T1^2*T2^7 + 175*T1^3*T2^7 + 299*T1^4*T2^7 - 
      916*T1^5*T2^7 + 740*T1^6*T2^7 + 740*T1^7*T2^7 - 916*T1^8*T2^7 + 
      299*T1^9*T2^7 + 175*T1^10*T2^7 - 48*T1^11*T2^7 - 6*T1^12*T2^7 + 
      14*T1^2*T2^8 + 30*T1^3*T2^8 - 321*T1^4*T2^8 + 299*T1^5*T2^8 + 
      264*T1^6*T2^8 - 916*T1^7*T2^8 + 264*T1^8*T2^8 + 299*T1^9*T2^8 - 
      321*T1^10*T2^8 + 30*T1^11*T2^8 + 14*T1^12*T2^8 - 19*T1^3*T2^9 + 
      30*T1^4*T2^9 + 175*T1^5*T2^9 - 396*T1^6*T2^9 + 299*T1^7*T2^9 + 
      299*T1^8*T2^9 - 396*T1^9*T2^9 + 175*T1^10*T2^9 + 30*T1^11*T2^9 - 
      19*T1^12*T2^9 + 14*T1^4*T2^10 - 48*T1^5*T2^10 - 11*T1^6*T2^10 + 
      175*T1^7*T2^10 - 321*T1^8*T2^10 + 175*T1^9*T2^10 - 11*T1^10*T2^10 - 
      48*T1^11*T2^10 + 14*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 
      48*T1^7*T2^11 + 30*T1^8*T2^11 + 30*T1^9*T2^11 - 48*T1^10*T2^11 + 
      30*T1^11*T2^11 - 6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 
      14*T1^8*T2^12 - 19*T1^9*T2^12 + 14*T1^10*T2^12 - 6*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, Alternating, 168] -> 
  {-(((1 - 3*T + T^2)*(2 - 2*T + T^2)*(1 - 2*T + 2*T^2))/T^3), 
   -((1 - 6*T1 + 14*T1^2 - 19*T1^3 + 14*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
      30*T1*T2 - 48*T1^2*T2 + 30*T1^3*T2 + 30*T1^4*T2 - 48*T1^5*T2 + 
      30*T1^6*T2 - 6*T1^7*T2 + 14*T2^2 - 48*T1*T2^2 - 12*T1^2*T2^2 + 
      178*T1^3*T2^2 - 326*T1^4*T2^2 + 178*T1^5*T2^2 - 12*T1^6*T2^2 - 
      48*T1^7*T2^2 + 14*T1^8*T2^2 - 19*T2^3 + 30*T1*T2^3 + 178*T1^2*T2^3 - 
      400*T1^3*T2^3 + 304*T1^4*T2^3 + 304*T1^5*T2^3 - 400*T1^6*T2^3 + 
      178*T1^7*T2^3 + 30*T1^8*T2^3 - 19*T1^9*T2^3 + 14*T2^4 + 30*T1*T2^4 - 
      326*T1^2*T2^4 + 304*T1^3*T2^4 + 252*T1^4*T2^4 - 922*T1^5*T2^4 + 
      252*T1^6*T2^4 + 304*T1^7*T2^4 - 326*T1^8*T2^4 + 30*T1^9*T2^4 + 
      14*T1^10*T2^4 - 6*T2^5 - 48*T1*T2^5 + 178*T1^2*T2^5 + 304*T1^3*T2^5 - 
      922*T1^4*T2^5 + 770*T1^5*T2^5 + 770*T1^6*T2^5 - 922*T1^7*T2^5 + 
      304*T1^8*T2^5 + 178*T1^9*T2^5 - 48*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
      30*T1*T2^6 - 12*T1^2*T2^6 - 400*T1^3*T2^6 + 252*T1^4*T2^6 + 
      770*T1^5*T2^6 - 1908*T1^6*T2^6 + 770*T1^7*T2^6 + 252*T1^8*T2^6 - 
      400*T1^9*T2^6 - 12*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 
      6*T1*T2^7 - 48*T1^2*T2^7 + 178*T1^3*T2^7 + 304*T1^4*T2^7 - 
      922*T1^5*T2^7 + 770*T1^6*T2^7 + 770*T1^7*T2^7 - 922*T1^8*T2^7 + 
      304*T1^9*T2^7 + 178*T1^10*T2^7 - 48*T1^11*T2^7 - 6*T1^12*T2^7 + 
      14*T1^2*T2^8 + 30*T1^3*T2^8 - 326*T1^4*T2^8 + 304*T1^5*T2^8 + 
      252*T1^6*T2^8 - 922*T1^7*T2^8 + 252*T1^8*T2^8 + 304*T1^9*T2^8 - 
      326*T1^10*T2^8 + 30*T1^11*T2^8 + 14*T1^12*T2^8 - 19*T1^3*T2^9 + 
      30*T1^4*T2^9 + 178*T1^5*T2^9 - 400*T1^6*T2^9 + 304*T1^7*T2^9 + 
      304*T1^8*T2^9 - 400*T1^9*T2^9 + 178*T1^10*T2^9 + 30*T1^11*T2^9 - 
      19*T1^12*T2^9 + 14*T1^4*T2^10 - 48*T1^5*T2^10 - 12*T1^6*T2^10 + 
      178*T1^7*T2^10 - 326*T1^8*T2^10 + 178*T1^9*T2^10 - 12*T1^10*T2^10 - 
      48*T1^11*T2^10 + 14*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 
      48*T1^7*T2^11 + 30*T1^8*T2^11 + 30*T1^9*T2^11 - 48*T1^10*T2^11 + 
      30*T1^11*T2^11 - 6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 
      14*T1^8*T2^12 - 19*T1^9*T2^12 + 14*T1^10*T2^12 - 6*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, Alternating, 169] -> 
  {-(((-2 + 4*T - 4*T^2 + T^3)*(-1 + 4*T - 4*T^2 + 2*T^3))/T^3), 
   (1 - 6*T1 + 14*T1^2 - 19*T1^3 + 14*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     30*T1*T2 - 48*T1^2*T2 + 30*T1^3*T2 + 30*T1^4*T2 - 48*T1^5*T2 + 
     30*T1^6*T2 - 6*T1^7*T2 + 14*T2^2 - 48*T1*T2^2 - 6*T1^2*T2^2 + 
     145*T1^3*T2^2 - 282*T1^4*T2^2 + 145*T1^5*T2^2 - 6*T1^6*T2^2 - 
     48*T1^7*T2^2 + 14*T1^8*T2^2 - 19*T2^3 + 30*T1*T2^3 + 145*T1^2*T2^3 - 
     234*T1^3*T2^3 + 221*T1^4*T2^3 + 221*T1^5*T2^3 - 234*T1^6*T2^3 + 
     145*T1^7*T2^3 + 30*T1^8*T2^3 - 19*T1^9*T2^3 + 14*T2^4 + 30*T1*T2^4 - 
     282*T1^2*T2^4 + 221*T1^3*T2^4 - 456*T1^4*T2^4 + 174*T1^5*T2^4 - 
     456*T1^6*T2^4 + 221*T1^7*T2^4 - 282*T1^8*T2^4 + 30*T1^9*T2^4 + 
     14*T1^10*T2^4 - 6*T2^5 - 48*T1*T2^5 + 145*T1^2*T2^5 + 221*T1^3*T2^5 + 
     174*T1^4*T2^5 + 212*T1^5*T2^5 + 212*T1^6*T2^5 + 174*T1^7*T2^5 + 
     221*T1^8*T2^5 + 145*T1^9*T2^5 - 48*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     30*T1*T2^6 - 6*T1^2*T2^6 - 234*T1^3*T2^6 - 456*T1^4*T2^6 + 
     212*T1^5*T2^6 - 792*T1^6*T2^6 + 212*T1^7*T2^6 - 456*T1^8*T2^6 - 
     234*T1^9*T2^6 - 6*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
     48*T1^2*T2^7 + 145*T1^3*T2^7 + 221*T1^4*T2^7 + 174*T1^5*T2^7 + 
     212*T1^6*T2^7 + 212*T1^7*T2^7 + 174*T1^8*T2^7 + 221*T1^9*T2^7 + 
     145*T1^10*T2^7 - 48*T1^11*T2^7 - 6*T1^12*T2^7 + 14*T1^2*T2^8 + 
     30*T1^3*T2^8 - 282*T1^4*T2^8 + 221*T1^5*T2^8 - 456*T1^6*T2^8 + 
     174*T1^7*T2^8 - 456*T1^8*T2^8 + 221*T1^9*T2^8 - 282*T1^10*T2^8 + 
     30*T1^11*T2^8 + 14*T1^12*T2^8 - 19*T1^3*T2^9 + 30*T1^4*T2^9 + 
     145*T1^5*T2^9 - 234*T1^6*T2^9 + 221*T1^7*T2^9 + 221*T1^8*T2^9 - 
     234*T1^9*T2^9 + 145*T1^10*T2^9 + 30*T1^11*T2^9 - 19*T1^12*T2^9 + 
     14*T1^4*T2^10 - 48*T1^5*T2^10 - 6*T1^6*T2^10 + 145*T1^7*T2^10 - 
     282*T1^8*T2^10 + 145*T1^9*T2^10 - 6*T1^10*T2^10 - 48*T1^11*T2^10 + 
     14*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 48*T1^7*T2^11 + 
     30*T1^8*T2^11 + 30*T1^9*T2^11 - 48*T1^10*T2^11 + 30*T1^11*T2^11 - 
     6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 14*T1^8*T2^12 - 
     19*T1^9*T2^12 + 14*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   (3 - 10*T1 + 22*T1^2 - 27*T1^3 + 22*T1^4 - 10*T1^5 + 3*T1^6 - 10*T2 + 
     16*T1*T2 - 28*T1^2*T2 + 8*T1^3*T2 + 8*T1^4*T2 - 28*T1^5*T2 + 
     16*T1^6*T2 - 10*T1^7*T2 + 22*T2^2 - 28*T1*T2^2 + 119*T1^2*T2^2 - 
     190*T1^3*T2^2 + 287*T1^4*T2^2 - 190*T1^5*T2^2 + 119*T1^6*T2^2 - 
     28*T1^7*T2^2 + 22*T1^8*T2^2 - 27*T2^3 + 8*T1*T2^3 - 190*T1^2*T2^3 + 
     248*T1^3*T2^3 - 244*T1^4*T2^3 - 244*T1^5*T2^3 + 248*T1^6*T2^3 - 
     190*T1^7*T2^3 + 8*T1^8*T2^3 - 27*T1^9*T2^3 + 22*T2^4 + 8*T1*T2^4 + 
     287*T1^2*T2^4 - 244*T1^3*T2^4 + 84*T1^4*T2^4 + 578*T1^5*T2^4 + 
     84*T1^6*T2^4 - 244*T1^7*T2^4 + 287*T1^8*T2^4 + 8*T1^9*T2^4 + 
     22*T1^10*T2^4 - 10*T2^5 - 28*T1*T2^5 - 190*T1^2*T2^5 - 244*T1^3*T2^5 + 
     578*T1^4*T2^5 - 812*T1^5*T2^5 - 812*T1^6*T2^5 + 578*T1^7*T2^5 - 
     244*T1^8*T2^5 - 190*T1^9*T2^5 - 28*T1^10*T2^5 - 10*T1^11*T2^5 + 3*T2^6 + 
     16*T1*T2^6 + 119*T1^2*T2^6 + 248*T1^3*T2^6 + 84*T1^4*T2^6 - 
     812*T1^5*T2^6 + 2328*T1^6*T2^6 - 812*T1^7*T2^6 + 84*T1^8*T2^6 + 
     248*T1^9*T2^6 + 119*T1^10*T2^6 + 16*T1^11*T2^6 + 3*T1^12*T2^6 - 
     10*T1*T2^7 - 28*T1^2*T2^7 - 190*T1^3*T2^7 - 244*T1^4*T2^7 + 
     578*T1^5*T2^7 - 812*T1^6*T2^7 - 812*T1^7*T2^7 + 578*T1^8*T2^7 - 
     244*T1^9*T2^7 - 190*T1^10*T2^7 - 28*T1^11*T2^7 - 10*T1^12*T2^7 + 
     22*T1^2*T2^8 + 8*T1^3*T2^8 + 287*T1^4*T2^8 - 244*T1^5*T2^8 + 
     84*T1^6*T2^8 + 578*T1^7*T2^8 + 84*T1^8*T2^8 - 244*T1^9*T2^8 + 
     287*T1^10*T2^8 + 8*T1^11*T2^8 + 22*T1^12*T2^8 - 27*T1^3*T2^9 + 
     8*T1^4*T2^9 - 190*T1^5*T2^9 + 248*T1^6*T2^9 - 244*T1^7*T2^9 - 
     244*T1^8*T2^9 + 248*T1^9*T2^9 - 190*T1^10*T2^9 + 8*T1^11*T2^9 - 
     27*T1^12*T2^9 + 22*T1^4*T2^10 - 28*T1^5*T2^10 + 119*T1^6*T2^10 - 
     190*T1^7*T2^10 + 287*T1^8*T2^10 - 190*T1^9*T2^10 + 119*T1^10*T2^10 - 
     28*T1^11*T2^10 + 22*T1^12*T2^10 - 10*T1^5*T2^11 + 16*T1^6*T2^11 - 
     28*T1^7*T2^11 + 8*T1^8*T2^11 + 8*T1^9*T2^11 - 28*T1^10*T2^11 + 
     16*T1^11*T2^11 - 10*T1^12*T2^11 + 3*T1^6*T2^12 - 10*T1^7*T2^12 + 
     22*T1^8*T2^12 - 27*T1^9*T2^12 + 22*T1^10*T2^12 - 10*T1^11*T2^12 + 
     3*T1^12*T2^12)/(T1^6*T2^6)}, 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), 
   -((1 - 7*T1 + 21*T1^2 - 39*T1^3 + 47*T1^4 - 39*T1^5 + 21*T1^6 - 7*T1^7 + 
      T1^8 - 7*T2 + 42*T1*T2 - 98*T1^2*T2 + 126*T1^3*T2 - 56*T1^4*T2 - 
      56*T1^5*T2 + 126*T1^6*T2 - 98*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 
      21*T2^2 - 98*T1*T2^2 + 119*T1^2*T2^2 + 64*T1^3*T2^2 - 484*T1^4*T2^2 + 
      667*T1^5*T2^2 - 484*T1^6*T2^2 + 64*T1^7*T2^2 + 119*T1^8*T2^2 - 
      98*T1^9*T2^2 + 21*T1^10*T2^2 - 39*T2^3 + 126*T1*T2^3 + 64*T1^2*T2^3 - 
      586*T1^3*T2^3 + 1098*T1^4*T2^3 - 487*T1^5*T2^3 - 487*T1^6*T2^3 + 
      1098*T1^7*T2^3 - 586*T1^8*T2^3 + 64*T1^9*T2^3 + 126*T1^10*T2^3 - 
      39*T1^11*T2^3 + 47*T2^4 - 56*T1*T2^4 - 484*T1^2*T2^4 + 1098*T1^3*T2^4 - 
      1009*T1^4*T2^4 - 888*T1^5*T2^4 + 1599*T1^6*T2^4 - 888*T1^7*T2^4 - 
      1009*T1^8*T2^4 + 1098*T1^9*T2^4 - 484*T1^10*T2^4 - 56*T1^11*T2^4 + 
      47*T1^12*T2^4 - 39*T2^5 - 56*T1*T2^5 + 667*T1^2*T2^5 - 487*T1^3*T2^5 - 
      888*T1^4*T2^5 + 3206*T1^5*T2^5 - 1363*T1^6*T2^5 - 1363*T1^7*T2^5 + 
      3206*T1^8*T2^5 - 888*T1^9*T2^5 - 487*T1^10*T2^5 + 667*T1^11*T2^5 - 
      56*T1^12*T2^5 - 39*T1^13*T2^5 + 21*T2^6 + 126*T1*T2^6 - 484*T1^2*T2^6 - 
      487*T1^3*T2^6 + 1599*T1^4*T2^6 - 1363*T1^5*T2^6 - 4133*T1^6*T2^6 + 
      5989*T1^7*T2^6 - 4133*T1^8*T2^6 - 1363*T1^9*T2^6 + 1599*T1^10*T2^6 - 
      487*T1^11*T2^6 - 484*T1^12*T2^6 + 126*T1^13*T2^6 + 21*T1^14*T2^6 - 
      7*T2^7 - 98*T1*T2^7 + 64*T1^2*T2^7 + 1098*T1^3*T2^7 - 888*T1^4*T2^7 - 
      1363*T1^5*T2^7 + 5989*T1^6*T2^7 - 2480*T1^7*T2^7 - 2480*T1^8*T2^7 + 
      5989*T1^9*T2^7 - 1363*T1^10*T2^7 - 888*T1^11*T2^7 + 1098*T1^12*T2^7 + 
      64*T1^13*T2^7 - 98*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 
      119*T1^2*T2^8 - 586*T1^3*T2^8 - 1009*T1^4*T2^8 + 3206*T1^5*T2^8 - 
      4133*T1^6*T2^8 - 2480*T1^7*T2^8 + 4584*T1^8*T2^8 - 2480*T1^9*T2^8 - 
      4133*T1^10*T2^8 + 3206*T1^11*T2^8 - 1009*T1^12*T2^8 - 586*T1^13*T2^8 + 
      119*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 
      98*T1^2*T2^9 + 64*T1^3*T2^9 + 1098*T1^4*T2^9 - 888*T1^5*T2^9 - 
      1363*T1^6*T2^9 + 5989*T1^7*T2^9 - 2480*T1^8*T2^9 - 2480*T1^9*T2^9 + 
      5989*T1^10*T2^9 - 1363*T1^11*T2^9 - 888*T1^12*T2^9 + 1098*T1^13*T2^9 + 
      64*T1^14*T2^9 - 98*T1^15*T2^9 - 7*T1^16*T2^9 + 21*T1^2*T2^10 + 
      126*T1^3*T2^10 - 484*T1^4*T2^10 - 487*T1^5*T2^10 + 1599*T1^6*T2^10 - 
      1363*T1^7*T2^10 - 4133*T1^8*T2^10 + 5989*T1^9*T2^10 - 
      4133*T1^10*T2^10 - 1363*T1^11*T2^10 + 1599*T1^12*T2^10 - 
      487*T1^13*T2^10 - 484*T1^14*T2^10 + 126*T1^15*T2^10 + 21*T1^16*T2^10 - 
      39*T1^3*T2^11 - 56*T1^4*T2^11 + 667*T1^5*T2^11 - 487*T1^6*T2^11 - 
      888*T1^7*T2^11 + 3206*T1^8*T2^11 - 1363*T1^9*T2^11 - 1363*T1^10*T2^11 + 
      3206*T1^11*T2^11 - 888*T1^12*T2^11 - 487*T1^13*T2^11 + 
      667*T1^14*T2^11 - 56*T1^15*T2^11 - 39*T1^16*T2^11 + 47*T1^4*T2^12 - 
      56*T1^5*T2^12 - 484*T1^6*T2^12 + 1098*T1^7*T2^12 - 1009*T1^8*T2^12 - 
      888*T1^9*T2^12 + 1599*T1^10*T2^12 - 888*T1^11*T2^12 - 
      1009*T1^12*T2^12 + 1098*T1^13*T2^12 - 484*T1^14*T2^12 - 
      56*T1^15*T2^12 + 47*T1^16*T2^12 - 39*T1^5*T2^13 + 126*T1^6*T2^13 + 
      64*T1^7*T2^13 - 586*T1^8*T2^13 + 1098*T1^9*T2^13 - 487*T1^10*T2^13 - 
      487*T1^11*T2^13 + 1098*T1^12*T2^13 - 586*T1^13*T2^13 + 64*T1^14*T2^13 + 
      126*T1^15*T2^13 - 39*T1^16*T2^13 + 21*T1^6*T2^14 - 98*T1^7*T2^14 + 
      119*T1^8*T2^14 + 64*T1^9*T2^14 - 484*T1^10*T2^14 + 667*T1^11*T2^14 - 
      484*T1^12*T2^14 + 64*T1^13*T2^14 + 119*T1^14*T2^14 - 98*T1^15*T2^14 + 
      21*T1^16*T2^14 - 7*T1^7*T2^15 + 42*T1^8*T2^15 - 98*T1^9*T2^15 + 
      126*T1^10*T2^15 - 56*T1^11*T2^15 - 56*T1^12*T2^15 + 126*T1^13*T2^15 - 
      98*T1^14*T2^15 + 42*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 
      7*T1^9*T2^16 + 21*T1^10*T2^16 - 39*T1^11*T2^16 + 47*T1^12*T2^16 - 
      39*T1^13*T2^16 + 21*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[11, Alternating, 172] -> 
  {(2 - 13*T + 33*T^2 - 43*T^3 + 33*T^4 - 13*T^5 + 2*T^6)/T^3, 
   (9 - 57*T1 + 142*T1^2 - 183*T1^3 + 142*T1^4 - 57*T1^5 + 9*T1^6 - 57*T2 + 
     304*T1*T2 - 539*T1^2*T2 + 261*T1^3*T2 + 261*T1^4*T2 - 539*T1^5*T2 + 
     304*T1^6*T2 - 57*T1^7*T2 + 142*T2^2 - 539*T1*T2^2 + 115*T1^2*T2^2 + 
     1860*T1^3*T2^2 - 2825*T1^4*T2^2 + 1860*T1^5*T2^2 + 115*T1^6*T2^2 - 
     539*T1^7*T2^2 + 142*T1^8*T2^2 - 183*T2^3 + 261*T1*T2^3 + 
     1860*T1^2*T2^3 - 4890*T1^3*T2^3 + 2440*T1^4*T2^3 + 2440*T1^5*T2^3 - 
     4890*T1^6*T2^3 + 1860*T1^7*T2^3 + 261*T1^8*T2^3 - 183*T1^9*T2^3 + 
     142*T2^4 + 261*T1*T2^4 - 2825*T1^2*T2^4 + 2440*T1^3*T2^4 + 
     6612*T1^4*T2^4 - 11166*T1^5*T2^4 + 6612*T1^6*T2^4 + 2440*T1^7*T2^4 - 
     2825*T1^8*T2^4 + 261*T1^9*T2^4 + 142*T1^10*T2^4 - 57*T2^5 - 
     539*T1*T2^5 + 1860*T1^2*T2^5 + 2440*T1^3*T2^5 - 11166*T1^4*T2^5 + 
     5920*T1^5*T2^5 + 5920*T1^6*T2^5 - 11166*T1^7*T2^5 + 2440*T1^8*T2^5 + 
     1860*T1^9*T2^5 - 539*T1^10*T2^5 - 57*T1^11*T2^5 + 9*T2^6 + 304*T1*T2^6 + 
     115*T1^2*T2^6 - 4890*T1^3*T2^6 + 6612*T1^4*T2^6 + 5920*T1^5*T2^6 - 
     12660*T1^6*T2^6 + 5920*T1^7*T2^6 + 6612*T1^8*T2^6 - 4890*T1^9*T2^6 + 
     115*T1^10*T2^6 + 304*T1^11*T2^6 + 9*T1^12*T2^6 - 57*T1*T2^7 - 
     539*T1^2*T2^7 + 1860*T1^3*T2^7 + 2440*T1^4*T2^7 - 11166*T1^5*T2^7 + 
     5920*T1^6*T2^7 + 5920*T1^7*T2^7 - 11166*T1^8*T2^7 + 2440*T1^9*T2^7 + 
     1860*T1^10*T2^7 - 539*T1^11*T2^7 - 57*T1^12*T2^7 + 142*T1^2*T2^8 + 
     261*T1^3*T2^8 - 2825*T1^4*T2^8 + 2440*T1^5*T2^8 + 6612*T1^6*T2^8 - 
     11166*T1^7*T2^8 + 6612*T1^8*T2^8 + 2440*T1^9*T2^8 - 2825*T1^10*T2^8 + 
     261*T1^11*T2^8 + 142*T1^12*T2^8 - 183*T1^3*T2^9 + 261*T1^4*T2^9 + 
     1860*T1^5*T2^9 - 4890*T1^6*T2^9 + 2440*T1^7*T2^9 + 2440*T1^8*T2^9 - 
     4890*T1^9*T2^9 + 1860*T1^10*T2^9 + 261*T1^11*T2^9 - 183*T1^12*T2^9 + 
     142*T1^4*T2^10 - 539*T1^5*T2^10 + 115*T1^6*T2^10 + 1860*T1^7*T2^10 - 
     2825*T1^8*T2^10 + 1860*T1^9*T2^10 + 115*T1^10*T2^10 - 539*T1^11*T2^10 + 
     142*T1^12*T2^10 - 57*T1^5*T2^11 + 304*T1^6*T2^11 - 539*T1^7*T2^11 + 
     261*T1^8*T2^11 + 261*T1^9*T2^11 - 539*T1^10*T2^11 + 304*T1^11*T2^11 - 
     57*T1^12*T2^11 + 9*T1^6*T2^12 - 57*T1^7*T2^12 + 142*T1^8*T2^12 - 
     183*T1^9*T2^12 + 142*T1^10*T2^12 - 57*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 173] -> 
  {(2 - 12*T + 32*T^2 - 43*T^3 + 32*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (9 - 53*T1 + 140*T1^2 - 187*T1^3 + 140*T1^4 - 53*T1^5 + 9*T1^6 - 53*T2 + 
     260*T1*T2 - 515*T1^2*T2 + 279*T1^3*T2 + 279*T1^4*T2 - 515*T1^5*T2 + 
     260*T1^6*T2 - 53*T1^7*T2 + 140*T2^2 - 515*T1*T2^2 + 484*T1^2*T2^2 + 
     1096*T1^3*T2^2 - 2108*T1^4*T2^2 + 1096*T1^5*T2^2 + 484*T1^6*T2^2 - 
     515*T1^7*T2^2 + 140*T1^8*T2^2 - 187*T2^3 + 279*T1*T2^3 + 
     1096*T1^2*T2^3 - 4090*T1^3*T2^3 + 2430*T1^4*T2^3 + 2430*T1^5*T2^3 - 
     4090*T1^6*T2^3 + 1096*T1^7*T2^3 + 279*T1^8*T2^3 - 187*T1^9*T2^3 + 
     140*T2^4 + 279*T1*T2^4 - 2108*T1^2*T2^4 + 2430*T1^3*T2^4 + 
     5982*T1^4*T2^4 - 11448*T1^5*T2^4 + 5982*T1^6*T2^4 + 2430*T1^7*T2^4 - 
     2108*T1^8*T2^4 + 279*T1^9*T2^4 + 140*T1^10*T2^4 - 53*T2^5 - 
     515*T1*T2^5 + 1096*T1^2*T2^5 + 2430*T1^3*T2^5 - 11448*T1^4*T2^5 + 
     6966*T1^5*T2^5 + 6966*T1^6*T2^5 - 11448*T1^7*T2^5 + 2430*T1^8*T2^5 + 
     1096*T1^9*T2^5 - 515*T1^10*T2^5 - 53*T1^11*T2^5 + 9*T2^6 + 260*T1*T2^6 + 
     484*T1^2*T2^6 - 4090*T1^3*T2^6 + 5982*T1^4*T2^6 + 6966*T1^5*T2^6 - 
     15732*T1^6*T2^6 + 6966*T1^7*T2^6 + 5982*T1^8*T2^6 - 4090*T1^9*T2^6 + 
     484*T1^10*T2^6 + 260*T1^11*T2^6 + 9*T1^12*T2^6 - 53*T1*T2^7 - 
     515*T1^2*T2^7 + 1096*T1^3*T2^7 + 2430*T1^4*T2^7 - 11448*T1^5*T2^7 + 
     6966*T1^6*T2^7 + 6966*T1^7*T2^7 - 11448*T1^8*T2^7 + 2430*T1^9*T2^7 + 
     1096*T1^10*T2^7 - 515*T1^11*T2^7 - 53*T1^12*T2^7 + 140*T1^2*T2^8 + 
     279*T1^3*T2^8 - 2108*T1^4*T2^8 + 2430*T1^5*T2^8 + 5982*T1^6*T2^8 - 
     11448*T1^7*T2^8 + 5982*T1^8*T2^8 + 2430*T1^9*T2^8 - 2108*T1^10*T2^8 + 
     279*T1^11*T2^8 + 140*T1^12*T2^8 - 187*T1^3*T2^9 + 279*T1^4*T2^9 + 
     1096*T1^5*T2^9 - 4090*T1^6*T2^9 + 2430*T1^7*T2^9 + 2430*T1^8*T2^9 - 
     4090*T1^9*T2^9 + 1096*T1^10*T2^9 + 279*T1^11*T2^9 - 187*T1^12*T2^9 + 
     140*T1^4*T2^10 - 515*T1^5*T2^10 + 484*T1^6*T2^10 + 1096*T1^7*T2^10 - 
     2108*T1^8*T2^10 + 1096*T1^9*T2^10 + 484*T1^10*T2^10 - 515*T1^11*T2^10 + 
     140*T1^12*T2^10 - 53*T1^5*T2^11 + 260*T1^6*T2^11 - 515*T1^7*T2^11 + 
     279*T1^8*T2^11 + 279*T1^9*T2^11 - 515*T1^10*T2^11 + 260*T1^11*T2^11 - 
     53*T1^12*T2^11 + 9*T1^6*T2^12 - 53*T1^7*T2^12 + 140*T1^8*T2^12 - 
     187*T1^9*T2^12 + 140*T1^10*T2^12 - 53*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, 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), (1 - 5*T1 + 11*T1^2 - 15*T1^3 + 15*T1^4 - 15*T1^5 + 11*T1^6 - 
     5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 30*T1^2*T2 + 20*T1^3*T2 + 20*T1^6*T2 - 
     30*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 11*T2^2 - 30*T1*T2^2 + 
     8*T1^2*T2^2 + 54*T1^3*T2^2 - 92*T1^4*T2^2 + 52*T1^5*T2^2 - 
     92*T1^6*T2^2 + 54*T1^7*T2^2 + 8*T1^8*T2^2 - 30*T1^9*T2^2 + 
     11*T1^10*T2^2 - 15*T2^3 + 20*T1*T2^3 + 54*T1^2*T2^3 - 128*T1^3*T2^3 + 
     94*T1^4*T2^3 + 40*T1^5*T2^3 + 40*T1^6*T2^3 + 94*T1^7*T2^3 - 
     128*T1^8*T2^3 + 54*T1^9*T2^3 + 20*T1^10*T2^3 - 15*T1^11*T2^3 + 15*T2^4 - 
     92*T1^2*T2^4 + 94*T1^3*T2^4 + 50*T1^4*T2^4 - 198*T1^5*T2^4 + 
     14*T1^6*T2^4 - 198*T1^7*T2^4 + 50*T1^8*T2^4 + 94*T1^9*T2^4 - 
     92*T1^10*T2^4 + 15*T1^12*T2^4 - 15*T2^5 + 52*T1^2*T2^5 + 40*T1^3*T2^5 - 
     198*T1^4*T2^5 + 210*T1^5*T2^5 + 80*T1^6*T2^5 + 80*T1^7*T2^5 + 
     210*T1^8*T2^5 - 198*T1^9*T2^5 + 40*T1^10*T2^5 + 52*T1^11*T2^5 - 
     15*T1^13*T2^5 + 11*T2^6 + 20*T1*T2^6 - 92*T1^2*T2^6 + 40*T1^3*T2^6 + 
     14*T1^4*T2^6 + 80*T1^5*T2^6 - 319*T1^6*T2^6 + 141*T1^7*T2^6 - 
     319*T1^8*T2^6 + 80*T1^9*T2^6 + 14*T1^10*T2^6 + 40*T1^11*T2^6 - 
     92*T1^12*T2^6 + 20*T1^13*T2^6 + 11*T1^14*T2^6 - 5*T2^7 - 30*T1*T2^7 + 
     54*T1^2*T2^7 + 94*T1^3*T2^7 - 198*T1^4*T2^7 + 80*T1^5*T2^7 + 
     141*T1^6*T2^7 + 20*T1^7*T2^7 + 20*T1^8*T2^7 + 141*T1^9*T2^7 + 
     80*T1^10*T2^7 - 198*T1^11*T2^7 + 94*T1^12*T2^7 + 54*T1^13*T2^7 - 
     30*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 8*T1^2*T2^8 - 
     128*T1^3*T2^8 + 50*T1^4*T2^8 + 210*T1^5*T2^8 - 319*T1^6*T2^8 + 
     20*T1^7*T2^8 - 12*T1^8*T2^8 + 20*T1^9*T2^8 - 319*T1^10*T2^8 + 
     210*T1^11*T2^8 + 50*T1^12*T2^8 - 128*T1^13*T2^8 + 8*T1^14*T2^8 + 
     20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 30*T1^2*T2^9 + 54*T1^3*T2^9 + 
     94*T1^4*T2^9 - 198*T1^5*T2^9 + 80*T1^6*T2^9 + 141*T1^7*T2^9 + 
     20*T1^8*T2^9 + 20*T1^9*T2^9 + 141*T1^10*T2^9 + 80*T1^11*T2^9 - 
     198*T1^12*T2^9 + 94*T1^13*T2^9 + 54*T1^14*T2^9 - 30*T1^15*T2^9 - 
     5*T1^16*T2^9 + 11*T1^2*T2^10 + 20*T1^3*T2^10 - 92*T1^4*T2^10 + 
     40*T1^5*T2^10 + 14*T1^6*T2^10 + 80*T1^7*T2^10 - 319*T1^8*T2^10 + 
     141*T1^9*T2^10 - 319*T1^10*T2^10 + 80*T1^11*T2^10 + 14*T1^12*T2^10 + 
     40*T1^13*T2^10 - 92*T1^14*T2^10 + 20*T1^15*T2^10 + 11*T1^16*T2^10 - 
     15*T1^3*T2^11 + 52*T1^5*T2^11 + 40*T1^6*T2^11 - 198*T1^7*T2^11 + 
     210*T1^8*T2^11 + 80*T1^9*T2^11 + 80*T1^10*T2^11 + 210*T1^11*T2^11 - 
     198*T1^12*T2^11 + 40*T1^13*T2^11 + 52*T1^14*T2^11 - 15*T1^16*T2^11 + 
     15*T1^4*T2^12 - 92*T1^6*T2^12 + 94*T1^7*T2^12 + 50*T1^8*T2^12 - 
     198*T1^9*T2^12 + 14*T1^10*T2^12 - 198*T1^11*T2^12 + 50*T1^12*T2^12 + 
     94*T1^13*T2^12 - 92*T1^14*T2^12 + 15*T1^16*T2^12 - 15*T1^5*T2^13 + 
     20*T1^6*T2^13 + 54*T1^7*T2^13 - 128*T1^8*T2^13 + 94*T1^9*T2^13 + 
     40*T1^10*T2^13 + 40*T1^11*T2^13 + 94*T1^12*T2^13 - 128*T1^13*T2^13 + 
     54*T1^14*T2^13 + 20*T1^15*T2^13 - 15*T1^16*T2^13 + 11*T1^6*T2^14 - 
     30*T1^7*T2^14 + 8*T1^8*T2^14 + 54*T1^9*T2^14 - 92*T1^10*T2^14 + 
     52*T1^11*T2^14 - 92*T1^12*T2^14 + 54*T1^13*T2^14 + 8*T1^14*T2^14 - 
     30*T1^15*T2^14 + 11*T1^16*T2^14 - 5*T1^7*T2^15 + 20*T1^8*T2^15 - 
     30*T1^9*T2^15 + 20*T1^10*T2^15 + 20*T1^13*T2^15 - 30*T1^14*T2^15 + 
     20*T1^15*T2^15 - 5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 
     11*T1^10*T2^16 - 15*T1^11*T2^16 + 15*T1^12*T2^16 - 15*T1^13*T2^16 + 
     11*T1^14*T2^16 - 5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 
   -((1 - T1 - 3*T1^2 + 7*T1^3 - 3*T1^4 - T1^5 + T1^6 - T2 - 8*T1*T2 + 
      28*T1^2*T2 - 20*T1^3*T2 - 20*T1^4*T2 + 28*T1^5*T2 - 8*T1^6*T2 - 
      T1^7*T2 - 3*T2^2 + 28*T1*T2^2 - 54*T1^2*T2^2 - 22*T1^3*T2^2 + 
      86*T1^4*T2^2 - 22*T1^5*T2^2 - 54*T1^6*T2^2 + 28*T1^7*T2^2 - 
      3*T1^8*T2^2 + 7*T2^3 - 20*T1*T2^3 - 22*T1^2*T2^3 + 216*T1^3*T2^3 - 
      132*T1^4*T2^3 - 132*T1^5*T2^3 + 216*T1^6*T2^3 - 22*T1^7*T2^3 - 
      20*T1^8*T2^3 + 7*T1^9*T2^3 - 3*T2^4 - 20*T1*T2^4 + 86*T1^2*T2^4 - 
      132*T1^3*T2^4 - 431*T1^4*T2^4 + 731*T1^5*T2^4 - 431*T1^6*T2^4 - 
      132*T1^7*T2^4 + 86*T1^8*T2^4 - 20*T1^9*T2^4 - 3*T1^10*T2^4 - T2^5 + 
      28*T1*T2^5 - 22*T1^2*T2^5 - 132*T1^3*T2^5 + 731*T1^4*T2^5 - 
      372*T1^5*T2^5 - 372*T1^6*T2^5 + 731*T1^7*T2^5 - 132*T1^8*T2^5 - 
      22*T1^9*T2^5 + 28*T1^10*T2^5 - T1^11*T2^5 + T2^6 - 8*T1*T2^6 - 
      54*T1^2*T2^6 + 216*T1^3*T2^6 - 431*T1^4*T2^6 - 372*T1^5*T2^6 + 
      744*T1^6*T2^6 - 372*T1^7*T2^6 - 431*T1^8*T2^6 + 216*T1^9*T2^6 - 
      54*T1^10*T2^6 - 8*T1^11*T2^6 + T1^12*T2^6 - T1*T2^7 + 28*T1^2*T2^7 - 
      22*T1^3*T2^7 - 132*T1^4*T2^7 + 731*T1^5*T2^7 - 372*T1^6*T2^7 - 
      372*T1^7*T2^7 + 731*T1^8*T2^7 - 132*T1^9*T2^7 - 22*T1^10*T2^7 + 
      28*T1^11*T2^7 - T1^12*T2^7 - 3*T1^2*T2^8 - 20*T1^3*T2^8 + 
      86*T1^4*T2^8 - 132*T1^5*T2^8 - 431*T1^6*T2^8 + 731*T1^7*T2^8 - 
      431*T1^8*T2^8 - 132*T1^9*T2^8 + 86*T1^10*T2^8 - 20*T1^11*T2^8 - 
      3*T1^12*T2^8 + 7*T1^3*T2^9 - 20*T1^4*T2^9 - 22*T1^5*T2^9 + 
      216*T1^6*T2^9 - 132*T1^7*T2^9 - 132*T1^8*T2^9 + 216*T1^9*T2^9 - 
      22*T1^10*T2^9 - 20*T1^11*T2^9 + 7*T1^12*T2^9 - 3*T1^4*T2^10 + 
      28*T1^5*T2^10 - 54*T1^6*T2^10 - 22*T1^7*T2^10 + 86*T1^8*T2^10 - 
      22*T1^9*T2^10 - 54*T1^10*T2^10 + 28*T1^11*T2^10 - 3*T1^12*T2^10 - 
      T1^5*T2^11 - 8*T1^6*T2^11 + 28*T1^7*T2^11 - 20*T1^8*T2^11 - 
      20*T1^9*T2^11 + 28*T1^10*T2^11 - 8*T1^11*T2^11 - T1^12*T2^11 + 
      T1^6*T2^12 - T1^7*T2^12 - 3*T1^8*T2^12 + 7*T1^9*T2^12 - 3*T1^10*T2^12 - 
      T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 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), 
   -((1 - 5*T1 + 13*T1^2 - 23*T1^3 + 27*T1^4 - 23*T1^5 + 13*T1^6 - 5*T1^7 + 
      T1^8 - 5*T2 + 20*T1*T2 - 40*T1^2*T2 + 50*T1^3*T2 - 20*T1^4*T2 - 
      20*T1^5*T2 + 50*T1^6*T2 - 40*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
      13*T2^2 - 40*T1*T2^2 + 56*T1^2*T2^2 - 36*T1^3*T2^2 - 62*T1^4*T2^2 + 
      88*T1^5*T2^2 - 62*T1^6*T2^2 - 36*T1^7*T2^2 + 56*T1^8*T2^2 - 
      40*T1^9*T2^2 + 13*T1^10*T2^2 - 23*T2^3 + 50*T1*T2^3 - 36*T1^2*T2^3 - 
      20*T1^3*T2^3 + 160*T1^4*T2^3 - 46*T1^5*T2^3 - 46*T1^6*T2^3 + 
      160*T1^7*T2^3 - 20*T1^8*T2^3 - 36*T1^9*T2^3 + 50*T1^10*T2^3 - 
      23*T1^11*T2^3 + 27*T2^4 - 20*T1*T2^4 - 62*T1^2*T2^4 + 160*T1^3*T2^4 - 
      305*T1^4*T2^4 - 27*T1^5*T2^4 + 25*T1^6*T2^4 - 27*T1^7*T2^4 - 
      305*T1^8*T2^4 + 160*T1^9*T2^4 - 62*T1^10*T2^4 - 20*T1^11*T2^4 + 
      27*T1^12*T2^4 - 23*T2^5 - 20*T1*T2^5 + 88*T1^2*T2^5 - 46*T1^3*T2^5 - 
      27*T1^4*T2^5 + 580*T1^5*T2^5 - 132*T1^6*T2^5 - 132*T1^7*T2^5 + 
      580*T1^8*T2^5 - 27*T1^9*T2^5 - 46*T1^10*T2^5 + 88*T1^11*T2^5 - 
      20*T1^12*T2^5 - 23*T1^13*T2^5 + 13*T2^6 + 50*T1*T2^6 - 62*T1^2*T2^6 - 
      46*T1^3*T2^6 + 25*T1^4*T2^6 - 132*T1^5*T2^6 - 1139*T1^6*T2^6 + 
      1259*T1^7*T2^6 - 1139*T1^8*T2^6 - 132*T1^9*T2^6 + 25*T1^10*T2^6 - 
      46*T1^11*T2^6 - 62*T1^12*T2^6 + 50*T1^13*T2^6 + 13*T1^14*T2^6 - 
      5*T2^7 - 40*T1*T2^7 - 36*T1^2*T2^7 + 160*T1^3*T2^7 - 27*T1^4*T2^7 - 
      132*T1^5*T2^7 + 1259*T1^6*T2^7 - 320*T1^7*T2^7 - 320*T1^8*T2^7 + 
      1259*T1^9*T2^7 - 132*T1^10*T2^7 - 27*T1^11*T2^7 + 160*T1^12*T2^7 - 
      36*T1^13*T2^7 - 40*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 
      56*T1^2*T2^8 - 20*T1^3*T2^8 - 305*T1^4*T2^8 + 580*T1^5*T2^8 - 
      1139*T1^6*T2^8 - 320*T1^7*T2^8 + 384*T1^8*T2^8 - 320*T1^9*T2^8 - 
      1139*T1^10*T2^8 + 580*T1^11*T2^8 - 305*T1^12*T2^8 - 20*T1^13*T2^8 + 
      56*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 40*T1^2*T2^9 - 
      36*T1^3*T2^9 + 160*T1^4*T2^9 - 27*T1^5*T2^9 - 132*T1^6*T2^9 + 
      1259*T1^7*T2^9 - 320*T1^8*T2^9 - 320*T1^9*T2^9 + 1259*T1^10*T2^9 - 
      132*T1^11*T2^9 - 27*T1^12*T2^9 + 160*T1^13*T2^9 - 36*T1^14*T2^9 - 
      40*T1^15*T2^9 - 5*T1^16*T2^9 + 13*T1^2*T2^10 + 50*T1^3*T2^10 - 
      62*T1^4*T2^10 - 46*T1^5*T2^10 + 25*T1^6*T2^10 - 132*T1^7*T2^10 - 
      1139*T1^8*T2^10 + 1259*T1^9*T2^10 - 1139*T1^10*T2^10 - 
      132*T1^11*T2^10 + 25*T1^12*T2^10 - 46*T1^13*T2^10 - 62*T1^14*T2^10 + 
      50*T1^15*T2^10 + 13*T1^16*T2^10 - 23*T1^3*T2^11 - 20*T1^4*T2^11 + 
      88*T1^5*T2^11 - 46*T1^6*T2^11 - 27*T1^7*T2^11 + 580*T1^8*T2^11 - 
      132*T1^9*T2^11 - 132*T1^10*T2^11 + 580*T1^11*T2^11 - 27*T1^12*T2^11 - 
      46*T1^13*T2^11 + 88*T1^14*T2^11 - 20*T1^15*T2^11 - 23*T1^16*T2^11 + 
      27*T1^4*T2^12 - 20*T1^5*T2^12 - 62*T1^6*T2^12 + 160*T1^7*T2^12 - 
      305*T1^8*T2^12 - 27*T1^9*T2^12 + 25*T1^10*T2^12 - 27*T1^11*T2^12 - 
      305*T1^12*T2^12 + 160*T1^13*T2^12 - 62*T1^14*T2^12 - 20*T1^15*T2^12 + 
      27*T1^16*T2^12 - 23*T1^5*T2^13 + 50*T1^6*T2^13 - 36*T1^7*T2^13 - 
      20*T1^8*T2^13 + 160*T1^9*T2^13 - 46*T1^10*T2^13 - 46*T1^11*T2^13 + 
      160*T1^12*T2^13 - 20*T1^13*T2^13 - 36*T1^14*T2^13 + 50*T1^15*T2^13 - 
      23*T1^16*T2^13 + 13*T1^6*T2^14 - 40*T1^7*T2^14 + 56*T1^8*T2^14 - 
      36*T1^9*T2^14 - 62*T1^10*T2^14 + 88*T1^11*T2^14 - 62*T1^12*T2^14 - 
      36*T1^13*T2^14 + 56*T1^14*T2^14 - 40*T1^15*T2^14 + 13*T1^16*T2^14 - 
      5*T1^7*T2^15 + 20*T1^8*T2^15 - 40*T1^9*T2^15 + 50*T1^10*T2^15 - 
      20*T1^11*T2^15 - 20*T1^12*T2^15 + 50*T1^13*T2^15 - 40*T1^14*T2^15 + 
      20*T1^15*T2^15 - 5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 
      13*T1^10*T2^16 - 23*T1^11*T2^16 + 27*T1^12*T2^16 - 23*T1^13*T2^16 + 
      13*T1^14*T2^16 - 5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   (2 - 10*T1 + 26*T1^2 - 38*T1^3 + 42*T1^4 - 38*T1^5 + 26*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 80*T1^2*T2 + 60*T1^3*T2 - 20*T1^4*T2 - 
     20*T1^5*T2 + 60*T1^6*T2 - 80*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     26*T2^2 - 80*T1*T2^2 + 113*T1^2*T2^2 + 33*T1^3*T2^2 - 83*T1^4*T2^2 + 
     83*T1^5*T2^2 - 83*T1^6*T2^2 + 33*T1^7*T2^2 + 113*T1^8*T2^2 - 
     80*T1^9*T2^2 + 26*T1^10*T2^2 - 38*T2^3 + 60*T1*T2^3 + 33*T1^2*T2^3 - 
     382*T1^3*T2^3 + 218*T1^4*T2^3 - 52*T1^5*T2^3 - 52*T1^6*T2^3 + 
     218*T1^7*T2^3 - 382*T1^8*T2^3 + 33*T1^9*T2^3 + 60*T1^10*T2^3 - 
     38*T1^11*T2^3 + 42*T2^4 - 20*T1*T2^4 - 83*T1^2*T2^4 + 218*T1^3*T2^4 + 
     684*T1^4*T2^4 - 986*T1^5*T2^4 + 1018*T1^6*T2^4 - 986*T1^7*T2^4 + 
     684*T1^8*T2^4 + 218*T1^9*T2^4 - 83*T1^10*T2^4 - 20*T1^11*T2^4 + 
     42*T1^12*T2^4 - 38*T2^5 - 20*T1*T2^5 + 83*T1^2*T2^5 - 52*T1^3*T2^5 - 
     986*T1^4*T2^5 + 518*T1^5*T2^5 - 132*T1^6*T2^5 - 132*T1^7*T2^5 + 
     518*T1^8*T2^5 - 986*T1^9*T2^5 - 52*T1^10*T2^5 + 83*T1^11*T2^5 - 
     20*T1^12*T2^5 - 38*T1^13*T2^5 + 26*T2^6 + 60*T1*T2^6 - 83*T1^2*T2^6 - 
     52*T1^3*T2^6 + 1018*T1^4*T2^6 - 132*T1^5*T2^6 + 98*T1^6*T2^6 - 
     118*T1^7*T2^6 + 98*T1^8*T2^6 - 132*T1^9*T2^6 + 1018*T1^10*T2^6 - 
     52*T1^11*T2^6 - 83*T1^12*T2^6 + 60*T1^13*T2^6 + 26*T1^14*T2^6 - 
     10*T2^7 - 80*T1*T2^7 + 33*T1^2*T2^7 + 218*T1^3*T2^7 - 986*T1^4*T2^7 - 
     132*T1^5*T2^7 - 118*T1^6*T2^7 + 30*T1^7*T2^7 + 30*T1^8*T2^7 - 
     118*T1^9*T2^7 - 132*T1^10*T2^7 - 986*T1^11*T2^7 + 218*T1^12*T2^7 + 
     33*T1^13*T2^7 - 80*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 + 
     113*T1^2*T2^8 - 382*T1^3*T2^8 + 684*T1^4*T2^8 + 518*T1^5*T2^8 + 
     98*T1^6*T2^8 + 30*T1^7*T2^8 + 30*T1^9*T2^8 + 98*T1^10*T2^8 + 
     518*T1^11*T2^8 + 684*T1^12*T2^8 - 382*T1^13*T2^8 + 113*T1^14*T2^8 + 
     40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 80*T1^2*T2^9 + 
     33*T1^3*T2^9 + 218*T1^4*T2^9 - 986*T1^5*T2^9 - 132*T1^6*T2^9 - 
     118*T1^7*T2^9 + 30*T1^8*T2^9 + 30*T1^9*T2^9 - 118*T1^10*T2^9 - 
     132*T1^11*T2^9 - 986*T1^12*T2^9 + 218*T1^13*T2^9 + 33*T1^14*T2^9 - 
     80*T1^15*T2^9 - 10*T1^16*T2^9 + 26*T1^2*T2^10 + 60*T1^3*T2^10 - 
     83*T1^4*T2^10 - 52*T1^5*T2^10 + 1018*T1^6*T2^10 - 132*T1^7*T2^10 + 
     98*T1^8*T2^10 - 118*T1^9*T2^10 + 98*T1^10*T2^10 - 132*T1^11*T2^10 + 
     1018*T1^12*T2^10 - 52*T1^13*T2^10 - 83*T1^14*T2^10 + 60*T1^15*T2^10 + 
     26*T1^16*T2^10 - 38*T1^3*T2^11 - 20*T1^4*T2^11 + 83*T1^5*T2^11 - 
     52*T1^6*T2^11 - 986*T1^7*T2^11 + 518*T1^8*T2^11 - 132*T1^9*T2^11 - 
     132*T1^10*T2^11 + 518*T1^11*T2^11 - 986*T1^12*T2^11 - 52*T1^13*T2^11 + 
     83*T1^14*T2^11 - 20*T1^15*T2^11 - 38*T1^16*T2^11 + 42*T1^4*T2^12 - 
     20*T1^5*T2^12 - 83*T1^6*T2^12 + 218*T1^7*T2^12 + 684*T1^8*T2^12 - 
     986*T1^9*T2^12 + 1018*T1^10*T2^12 - 986*T1^11*T2^12 + 684*T1^12*T2^12 + 
     218*T1^13*T2^12 - 83*T1^14*T2^12 - 20*T1^15*T2^12 + 42*T1^16*T2^12 - 
     38*T1^5*T2^13 + 60*T1^6*T2^13 + 33*T1^7*T2^13 - 382*T1^8*T2^13 + 
     218*T1^9*T2^13 - 52*T1^10*T2^13 - 52*T1^11*T2^13 + 218*T1^12*T2^13 - 
     382*T1^13*T2^13 + 33*T1^14*T2^13 + 60*T1^15*T2^13 - 38*T1^16*T2^13 + 
     26*T1^6*T2^14 - 80*T1^7*T2^14 + 113*T1^8*T2^14 + 33*T1^9*T2^14 - 
     83*T1^10*T2^14 + 83*T1^11*T2^14 - 83*T1^12*T2^14 + 33*T1^13*T2^14 + 
     113*T1^14*T2^14 - 80*T1^15*T2^14 + 26*T1^16*T2^14 - 10*T1^7*T2^15 + 
     40*T1^8*T2^15 - 80*T1^9*T2^15 + 60*T1^10*T2^15 - 20*T1^11*T2^15 - 
     20*T1^12*T2^15 + 60*T1^13*T2^15 - 80*T1^14*T2^15 + 40*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)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 178] -> 
  {(2 - 11*T + 29*T^2 - 39*T^3 + 29*T^4 - 11*T^5 + 2*T^6)/T^3, 
   (9 - 49*T1 + 129*T1^2 - 173*T1^3 + 129*T1^4 - 49*T1^5 + 9*T1^6 - 49*T2 + 
     218*T1*T2 - 436*T1^2*T2 + 240*T1^3*T2 + 240*T1^4*T2 - 436*T1^5*T2 + 
     218*T1^6*T2 - 49*T1^7*T2 + 129*T2^2 - 436*T1*T2^2 + 522*T1^2*T2^2 + 
     672*T1^3*T2^2 - 1486*T1^4*T2^2 + 672*T1^5*T2^2 + 522*T1^6*T2^2 - 
     436*T1^7*T2^2 + 129*T1^8*T2^2 - 173*T2^3 + 240*T1*T2^3 + 672*T1^2*T2^3 - 
     3194*T1^3*T2^3 + 1982*T1^4*T2^3 + 1982*T1^5*T2^3 - 3194*T1^6*T2^3 + 
     672*T1^7*T2^3 + 240*T1^8*T2^3 - 173*T1^9*T2^3 + 129*T2^4 + 240*T1*T2^4 - 
     1486*T1^2*T2^4 + 1982*T1^3*T2^4 + 5290*T1^4*T2^4 - 10202*T1^5*T2^4 + 
     5290*T1^6*T2^4 + 1982*T1^7*T2^4 - 1486*T1^8*T2^4 + 240*T1^9*T2^4 + 
     129*T1^10*T2^4 - 49*T2^5 - 436*T1*T2^5 + 672*T1^2*T2^5 + 
     1982*T1^3*T2^5 - 10202*T1^4*T2^5 + 6360*T1^5*T2^5 + 6360*T1^6*T2^5 - 
     10202*T1^7*T2^5 + 1982*T1^8*T2^5 + 672*T1^9*T2^5 - 436*T1^10*T2^5 - 
     49*T1^11*T2^5 + 9*T2^6 + 218*T1*T2^6 + 522*T1^2*T2^6 - 3194*T1^3*T2^6 + 
     5290*T1^4*T2^6 + 6360*T1^5*T2^6 - 14520*T1^6*T2^6 + 6360*T1^7*T2^6 + 
     5290*T1^8*T2^6 - 3194*T1^9*T2^6 + 522*T1^10*T2^6 + 218*T1^11*T2^6 + 
     9*T1^12*T2^6 - 49*T1*T2^7 - 436*T1^2*T2^7 + 672*T1^3*T2^7 + 
     1982*T1^4*T2^7 - 10202*T1^5*T2^7 + 6360*T1^6*T2^7 + 6360*T1^7*T2^7 - 
     10202*T1^8*T2^7 + 1982*T1^9*T2^7 + 672*T1^10*T2^7 - 436*T1^11*T2^7 - 
     49*T1^12*T2^7 + 129*T1^2*T2^8 + 240*T1^3*T2^8 - 1486*T1^4*T2^8 + 
     1982*T1^5*T2^8 + 5290*T1^6*T2^8 - 10202*T1^7*T2^8 + 5290*T1^8*T2^8 + 
     1982*T1^9*T2^8 - 1486*T1^10*T2^8 + 240*T1^11*T2^8 + 129*T1^12*T2^8 - 
     173*T1^3*T2^9 + 240*T1^4*T2^9 + 672*T1^5*T2^9 - 3194*T1^6*T2^9 + 
     1982*T1^7*T2^9 + 1982*T1^8*T2^9 - 3194*T1^9*T2^9 + 672*T1^10*T2^9 + 
     240*T1^11*T2^9 - 173*T1^12*T2^9 + 129*T1^4*T2^10 - 436*T1^5*T2^10 + 
     522*T1^6*T2^10 + 672*T1^7*T2^10 - 1486*T1^8*T2^10 + 672*T1^9*T2^10 + 
     522*T1^10*T2^10 - 436*T1^11*T2^10 + 129*T1^12*T2^10 - 49*T1^5*T2^11 + 
     218*T1^6*T2^11 - 436*T1^7*T2^11 + 240*T1^8*T2^11 + 240*T1^9*T2^11 - 
     436*T1^10*T2^11 + 218*T1^11*T2^11 - 49*T1^12*T2^11 + 9*T1^6*T2^12 - 
     49*T1^7*T2^12 + 129*T1^8*T2^12 - 173*T1^9*T2^12 + 129*T1^10*T2^12 - 
     49*T1^11*T2^12 + 9*T1^12*T2^12)/(T1^6*T2^6)}, 
 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, 
   (2 - 10*T1 + 18*T1^2 - 18*T1^3 + 18*T1^4 - 18*T1^5 + 18*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 40*T1^2*T2 - 40*T1^7*T2 + 40*T1^8*T2 - 
     10*T1^9*T2 + 18*T2^2 - 40*T1*T2^2 - 69*T1^2*T2^2 + 197*T1^3*T2^2 - 
     129*T1^4*T2^2 + 129*T1^5*T2^2 - 129*T1^6*T2^2 + 197*T1^7*T2^2 - 
     69*T1^8*T2^2 - 40*T1^9*T2^2 + 18*T1^10*T2^2 - 18*T2^3 + 197*T1^2*T2^3 - 
     224*T1^3*T2^3 - 52*T1^4*T2^3 - 52*T1^7*T2^3 - 224*T1^8*T2^3 + 
     197*T1^9*T2^3 - 18*T1^11*T2^3 + 18*T2^4 - 129*T1^2*T2^4 - 52*T1^3*T2^4 + 
     382*T1^4*T2^4 - 166*T1^5*T2^4 + 198*T1^6*T2^4 - 166*T1^7*T2^4 + 
     382*T1^8*T2^4 - 52*T1^9*T2^4 - 129*T1^10*T2^4 + 18*T1^12*T2^4 - 
     18*T2^5 + 129*T1^2*T2^5 - 166*T1^4*T2^5 - 116*T1^5*T2^5 - 16*T1^6*T2^5 - 
     16*T1^7*T2^5 - 116*T1^8*T2^5 - 166*T1^9*T2^5 + 129*T1^11*T2^5 - 
     18*T1^13*T2^5 + 18*T2^6 - 129*T1^2*T2^6 + 198*T1^4*T2^6 - 16*T1^5*T2^6 + 
     193*T1^6*T2^6 - 125*T1^7*T2^6 + 193*T1^8*T2^6 - 16*T1^9*T2^6 + 
     198*T1^10*T2^6 - 129*T1^12*T2^6 + 18*T1^14*T2^6 - 10*T2^7 - 40*T1*T2^7 + 
     197*T1^2*T2^7 - 52*T1^3*T2^7 - 166*T1^4*T2^7 - 16*T1^5*T2^7 - 
     125*T1^6*T2^7 + 12*T1^7*T2^7 + 12*T1^8*T2^7 - 125*T1^9*T2^7 - 
     16*T1^10*T2^7 - 166*T1^11*T2^7 - 52*T1^12*T2^7 + 197*T1^13*T2^7 - 
     40*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 - 69*T1^2*T2^8 - 
     224*T1^3*T2^8 + 382*T1^4*T2^8 - 116*T1^5*T2^8 + 193*T1^6*T2^8 + 
     12*T1^7*T2^8 - 48*T1^8*T2^8 + 12*T1^9*T2^8 + 193*T1^10*T2^8 - 
     116*T1^11*T2^8 + 382*T1^12*T2^8 - 224*T1^13*T2^8 - 69*T1^14*T2^8 + 
     40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 40*T1^2*T2^9 + 
     197*T1^3*T2^9 - 52*T1^4*T2^9 - 166*T1^5*T2^9 - 16*T1^6*T2^9 - 
     125*T1^7*T2^9 + 12*T1^8*T2^9 + 12*T1^9*T2^9 - 125*T1^10*T2^9 - 
     16*T1^11*T2^9 - 166*T1^12*T2^9 - 52*T1^13*T2^9 + 197*T1^14*T2^9 - 
     40*T1^15*T2^9 - 10*T1^16*T2^9 + 18*T1^2*T2^10 - 129*T1^4*T2^10 + 
     198*T1^6*T2^10 - 16*T1^7*T2^10 + 193*T1^8*T2^10 - 125*T1^9*T2^10 + 
     193*T1^10*T2^10 - 16*T1^11*T2^10 + 198*T1^12*T2^10 - 129*T1^14*T2^10 + 
     18*T1^16*T2^10 - 18*T1^3*T2^11 + 129*T1^5*T2^11 - 166*T1^7*T2^11 - 
     116*T1^8*T2^11 - 16*T1^9*T2^11 - 16*T1^10*T2^11 - 116*T1^11*T2^11 - 
     166*T1^12*T2^11 + 129*T1^14*T2^11 - 18*T1^16*T2^11 + 18*T1^4*T2^12 - 
     129*T1^6*T2^12 - 52*T1^7*T2^12 + 382*T1^8*T2^12 - 166*T1^9*T2^12 + 
     198*T1^10*T2^12 - 166*T1^11*T2^12 + 382*T1^12*T2^12 - 52*T1^13*T2^12 - 
     129*T1^14*T2^12 + 18*T1^16*T2^12 - 18*T1^5*T2^13 + 197*T1^7*T2^13 - 
     224*T1^8*T2^13 - 52*T1^9*T2^13 - 52*T1^12*T2^13 - 224*T1^13*T2^13 + 
     197*T1^14*T2^13 - 18*T1^16*T2^13 + 18*T1^6*T2^14 - 40*T1^7*T2^14 - 
     69*T1^8*T2^14 + 197*T1^9*T2^14 - 129*T1^10*T2^14 + 129*T1^11*T2^14 - 
     129*T1^12*T2^14 + 197*T1^13*T2^14 - 69*T1^14*T2^14 - 40*T1^15*T2^14 + 
     18*T1^16*T2^14 - 10*T1^7*T2^15 + 40*T1^8*T2^15 - 40*T1^9*T2^15 - 
     40*T1^14*T2^15 + 40*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)/
    (T1^8*T2^8)}, 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, 
   (1 - 3*T1 + 3*T1^2 - 3*T1^3 + 3*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 + 
     4*T1^2*T2 - 4*T1^3*T2 - 4*T1^4*T2 + 4*T1^5*T2 + 6*T1^6*T2 - 3*T1^7*T2 + 
     3*T2^2 + 4*T1*T2^2 - 39*T1^2*T2^2 + 15*T1^3*T2^2 + 9*T1^4*T2^2 + 
     15*T1^5*T2^2 - 39*T1^6*T2^2 + 4*T1^7*T2^2 + 3*T1^8*T2^2 - 3*T2^3 - 
     4*T1*T2^3 + 15*T1^2*T2^3 + 84*T1^3*T2^3 - 52*T1^4*T2^3 - 52*T1^5*T2^3 + 
     84*T1^6*T2^3 + 15*T1^7*T2^3 - 4*T1^8*T2^3 - 3*T1^9*T2^3 + 3*T2^4 - 
     4*T1*T2^4 + 9*T1^2*T2^4 - 52*T1^3*T2^4 - 165*T1^4*T2^4 + 243*T1^5*T2^4 - 
     165*T1^6*T2^4 - 52*T1^7*T2^4 + 9*T1^8*T2^4 - 4*T1^9*T2^4 + 
     3*T1^10*T2^4 - 3*T2^5 + 4*T1*T2^5 + 15*T1^2*T2^5 - 52*T1^3*T2^5 + 
     243*T1^4*T2^5 - 72*T1^5*T2^5 - 72*T1^6*T2^5 + 243*T1^7*T2^5 - 
     52*T1^8*T2^5 + 15*T1^9*T2^5 + 4*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 
     6*T1*T2^6 - 39*T1^2*T2^6 + 84*T1^3*T2^6 - 165*T1^4*T2^6 - 72*T1^5*T2^6 + 
     60*T1^6*T2^6 - 72*T1^7*T2^6 - 165*T1^8*T2^6 + 84*T1^9*T2^6 - 
     39*T1^10*T2^6 + 6*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 + 4*T1^2*T2^7 + 
     15*T1^3*T2^7 - 52*T1^4*T2^7 + 243*T1^5*T2^7 - 72*T1^6*T2^7 - 
     72*T1^7*T2^7 + 243*T1^8*T2^7 - 52*T1^9*T2^7 + 15*T1^10*T2^7 + 
     4*T1^11*T2^7 - 3*T1^12*T2^7 + 3*T1^2*T2^8 - 4*T1^3*T2^8 + 9*T1^4*T2^8 - 
     52*T1^5*T2^8 - 165*T1^6*T2^8 + 243*T1^7*T2^8 - 165*T1^8*T2^8 - 
     52*T1^9*T2^8 + 9*T1^10*T2^8 - 4*T1^11*T2^8 + 3*T1^12*T2^8 - 
     3*T1^3*T2^9 - 4*T1^4*T2^9 + 15*T1^5*T2^9 + 84*T1^6*T2^9 - 52*T1^7*T2^9 - 
     52*T1^8*T2^9 + 84*T1^9*T2^9 + 15*T1^10*T2^9 - 4*T1^11*T2^9 - 
     3*T1^12*T2^9 + 3*T1^4*T2^10 + 4*T1^5*T2^10 - 39*T1^6*T2^10 + 
     15*T1^7*T2^10 + 9*T1^8*T2^10 + 15*T1^9*T2^10 - 39*T1^10*T2^10 + 
     4*T1^11*T2^10 + 3*T1^12*T2^10 - 3*T1^5*T2^11 + 6*T1^6*T2^11 + 
     4*T1^7*T2^11 - 4*T1^8*T2^11 - 4*T1^9*T2^11 + 4*T1^10*T2^11 + 
     6*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)/(T1^6*T2^6)}, Knot[11, Alternating, 181] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^3, 
   (9 - 49*T1 + 101*T1^2 - 117*T1^3 + 101*T1^4 - 49*T1^5 + 9*T1^6 - 49*T2 + 
     218*T1*T2 - 284*T1^2*T2 + 88*T1^3*T2 + 88*T1^4*T2 - 284*T1^5*T2 + 
     218*T1^6*T2 - 49*T1^7*T2 + 101*T2^2 - 284*T1*T2^2 - 208*T1^2*T2^2 + 
     1122*T1^3*T2^2 - 1218*T1^4*T2^2 + 1122*T1^5*T2^2 - 208*T1^6*T2^2 - 
     284*T1^7*T2^2 + 101*T1^8*T2^2 - 117*T2^3 + 88*T1*T2^3 + 1122*T1^2*T2^3 - 
     1852*T1^3*T2^3 + 448*T1^4*T2^3 + 448*T1^5*T2^3 - 1852*T1^6*T2^3 + 
     1122*T1^7*T2^3 + 88*T1^8*T2^3 - 117*T1^9*T2^3 + 101*T2^4 + 88*T1*T2^4 - 
     1218*T1^2*T2^4 + 448*T1^3*T2^4 + 2449*T1^4*T2^4 - 2695*T1^5*T2^4 + 
     2449*T1^6*T2^4 + 448*T1^7*T2^4 - 1218*T1^8*T2^4 + 88*T1^9*T2^4 + 
     101*T1^10*T2^4 - 49*T2^5 - 284*T1*T2^5 + 1122*T1^2*T2^5 + 
     448*T1^3*T2^5 - 2695*T1^4*T2^5 + 806*T1^5*T2^5 + 806*T1^6*T2^5 - 
     2695*T1^7*T2^5 + 448*T1^8*T2^5 + 1122*T1^9*T2^5 - 284*T1^10*T2^5 - 
     49*T1^11*T2^5 + 9*T2^6 + 218*T1*T2^6 - 208*T1^2*T2^6 - 1852*T1^3*T2^6 + 
     2449*T1^4*T2^6 + 806*T1^5*T2^6 - 1464*T1^6*T2^6 + 806*T1^7*T2^6 + 
     2449*T1^8*T2^6 - 1852*T1^9*T2^6 - 208*T1^10*T2^6 + 218*T1^11*T2^6 + 
     9*T1^12*T2^6 - 49*T1*T2^7 - 284*T1^2*T2^7 + 1122*T1^3*T2^7 + 
     448*T1^4*T2^7 - 2695*T1^5*T2^7 + 806*T1^6*T2^7 + 806*T1^7*T2^7 - 
     2695*T1^8*T2^7 + 448*T1^9*T2^7 + 1122*T1^10*T2^7 - 284*T1^11*T2^7 - 
     49*T1^12*T2^7 + 101*T1^2*T2^8 + 88*T1^3*T2^8 - 1218*T1^4*T2^8 + 
     448*T1^5*T2^8 + 2449*T1^6*T2^8 - 2695*T1^7*T2^8 + 2449*T1^8*T2^8 + 
     448*T1^9*T2^8 - 1218*T1^10*T2^8 + 88*T1^11*T2^8 + 101*T1^12*T2^8 - 
     117*T1^3*T2^9 + 88*T1^4*T2^9 + 1122*T1^5*T2^9 - 1852*T1^6*T2^9 + 
     448*T1^7*T2^9 + 448*T1^8*T2^9 - 1852*T1^9*T2^9 + 1122*T1^10*T2^9 + 
     88*T1^11*T2^9 - 117*T1^12*T2^9 + 101*T1^4*T2^10 - 284*T1^5*T2^10 - 
     208*T1^6*T2^10 + 1122*T1^7*T2^10 - 1218*T1^8*T2^10 + 1122*T1^9*T2^10 - 
     208*T1^10*T2^10 - 284*T1^11*T2^10 + 101*T1^12*T2^10 - 49*T1^5*T2^11 + 
     218*T1^6*T2^11 - 284*T1^7*T2^11 + 88*T1^8*T2^11 + 88*T1^9*T2^11 - 
     284*T1^10*T2^11 + 218*T1^11*T2^11 - 49*T1^12*T2^11 + 9*T1^6*T2^12 - 
     49*T1^7*T2^12 + 101*T1^8*T2^12 - 117*T1^9*T2^12 + 101*T1^10*T2^12 - 
     49*T1^11*T2^12 + 9*T1^12*T2^12)/(T1^6*T2^6)}, 
 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 + 40*T1*T2 - 60*T1^2*T2 + 20*T1^3*T2 + 20*T1^6*T2 - 
      60*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 22*T2^2 - 60*T1*T2^2 + 
      13*T1^2*T2^2 + 161*T1^3*T2^2 - 135*T1^4*T2^2 + 93*T1^5*T2^2 - 
      135*T1^6*T2^2 + 161*T1^7*T2^2 + 13*T1^8*T2^2 - 60*T1^9*T2^2 + 
      22*T1^10*T2^2 - 26*T2^3 + 20*T1*T2^3 + 161*T1^2*T2^3 - 374*T1^3*T2^3 + 
      42*T1^4*T2^3 + 42*T1^5*T2^3 + 42*T1^6*T2^3 + 42*T1^7*T2^3 - 
      374*T1^8*T2^3 + 161*T1^9*T2^3 + 20*T1^10*T2^3 - 26*T1^11*T2^3 + 
      26*T2^4 - 135*T1^2*T2^4 + 42*T1^3*T2^4 + 685*T1^4*T2^4 - 
      563*T1^5*T2^4 + 409*T1^6*T2^4 - 563*T1^7*T2^4 + 685*T1^8*T2^4 + 
      42*T1^9*T2^4 - 135*T1^10*T2^4 + 26*T1^12*T2^4 - 26*T2^5 + 
      93*T1^2*T2^5 + 42*T1^3*T2^5 - 563*T1^4*T2^5 - 14*T1^5*T2^5 + 
      92*T1^6*T2^5 + 92*T1^7*T2^5 - 14*T1^8*T2^5 - 563*T1^9*T2^5 + 
      42*T1^10*T2^5 + 93*T1^11*T2^5 - 26*T1^13*T2^5 + 22*T2^6 + 20*T1*T2^6 - 
      135*T1^2*T2^6 + 42*T1^3*T2^6 + 409*T1^4*T2^6 + 92*T1^5*T2^6 + 
      147*T1^6*T2^6 - 281*T1^7*T2^6 + 147*T1^8*T2^6 + 92*T1^9*T2^6 + 
      409*T1^10*T2^6 + 42*T1^11*T2^6 - 135*T1^12*T2^6 + 20*T1^13*T2^6 + 
      22*T1^14*T2^6 - 10*T2^7 - 60*T1*T2^7 + 161*T1^2*T2^7 + 42*T1^3*T2^7 - 
      563*T1^4*T2^7 + 92*T1^5*T2^7 - 281*T1^6*T2^7 + 118*T1^7*T2^7 + 
      118*T1^8*T2^7 - 281*T1^9*T2^7 + 92*T1^10*T2^7 - 563*T1^11*T2^7 + 
      42*T1^12*T2^7 + 161*T1^13*T2^7 - 60*T1^14*T2^7 - 10*T1^15*T2^7 + 
      2*T2^8 + 40*T1*T2^8 + 13*T1^2*T2^8 - 374*T1^3*T2^8 + 685*T1^4*T2^8 - 
      14*T1^5*T2^8 + 147*T1^6*T2^8 + 118*T1^7*T2^8 - 204*T1^8*T2^8 + 
      118*T1^9*T2^8 + 147*T1^10*T2^8 - 14*T1^11*T2^8 + 685*T1^12*T2^8 - 
      374*T1^13*T2^8 + 13*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 
      10*T1*T2^9 - 60*T1^2*T2^9 + 161*T1^3*T2^9 + 42*T1^4*T2^9 - 
      563*T1^5*T2^9 + 92*T1^6*T2^9 - 281*T1^7*T2^9 + 118*T1^8*T2^9 + 
      118*T1^9*T2^9 - 281*T1^10*T2^9 + 92*T1^11*T2^9 - 563*T1^12*T2^9 + 
      42*T1^13*T2^9 + 161*T1^14*T2^9 - 60*T1^15*T2^9 - 10*T1^16*T2^9 + 
      22*T1^2*T2^10 + 20*T1^3*T2^10 - 135*T1^4*T2^10 + 42*T1^5*T2^10 + 
      409*T1^6*T2^10 + 92*T1^7*T2^10 + 147*T1^8*T2^10 - 281*T1^9*T2^10 + 
      147*T1^10*T2^10 + 92*T1^11*T2^10 + 409*T1^12*T2^10 + 42*T1^13*T2^10 - 
      135*T1^14*T2^10 + 20*T1^15*T2^10 + 22*T1^16*T2^10 - 26*T1^3*T2^11 + 
      93*T1^5*T2^11 + 42*T1^6*T2^11 - 563*T1^7*T2^11 - 14*T1^8*T2^11 + 
      92*T1^9*T2^11 + 92*T1^10*T2^11 - 14*T1^11*T2^11 - 563*T1^12*T2^11 + 
      42*T1^13*T2^11 + 93*T1^14*T2^11 - 26*T1^16*T2^11 + 26*T1^4*T2^12 - 
      135*T1^6*T2^12 + 42*T1^7*T2^12 + 685*T1^8*T2^12 - 563*T1^9*T2^12 + 
      409*T1^10*T2^12 - 563*T1^11*T2^12 + 685*T1^12*T2^12 + 42*T1^13*T2^12 - 
      135*T1^14*T2^12 + 26*T1^16*T2^12 - 26*T1^5*T2^13 + 20*T1^6*T2^13 + 
      161*T1^7*T2^13 - 374*T1^8*T2^13 + 42*T1^9*T2^13 + 42*T1^10*T2^13 + 
      42*T1^11*T2^13 + 42*T1^12*T2^13 - 374*T1^13*T2^13 + 161*T1^14*T2^13 + 
      20*T1^15*T2^13 - 26*T1^16*T2^13 + 22*T1^6*T2^14 - 60*T1^7*T2^14 + 
      13*T1^8*T2^14 + 161*T1^9*T2^14 - 135*T1^10*T2^14 + 93*T1^11*T2^14 - 
      135*T1^12*T2^14 + 161*T1^13*T2^14 + 13*T1^14*T2^14 - 60*T1^15*T2^14 + 
      22*T1^16*T2^14 - 10*T1^7*T2^15 + 40*T1^8*T2^15 - 60*T1^9*T2^15 + 
      20*T1^10*T2^15 + 20*T1^13*T2^15 - 60*T1^14*T2^15 + 40*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)/(T1^8*T2^8))}, 
 Knot[11, Alternating, 183] -> 
  {(2 - 11*T + 27*T^2 - 35*T^3 + 27*T^4 - 11*T^5 + 2*T^6)/T^3, 
   -((9 - 49*T1 + 119*T1^2 - 153*T1^3 + 119*T1^4 - 49*T1^5 + 9*T1^6 - 49*T2 + 
      218*T1*T2 - 382*T1^2*T2 + 186*T1^3*T2 + 186*T1^4*T2 - 382*T1^5*T2 + 
      218*T1^6*T2 - 49*T1^7*T2 + 119*T2^2 - 382*T1*T2^2 + 234*T1^2*T2^2 + 
      912*T1^3*T2^2 - 1486*T1^4*T2^2 + 912*T1^5*T2^2 + 234*T1^6*T2^2 - 
      382*T1^7*T2^2 + 119*T1^8*T2^2 - 153*T2^3 + 186*T1*T2^3 + 
      912*T1^2*T2^3 - 2806*T1^3*T2^3 + 1424*T1^4*T2^3 + 1424*T1^5*T2^3 - 
      2806*T1^6*T2^3 + 912*T1^7*T2^3 + 186*T1^8*T2^3 - 153*T1^9*T2^3 + 
      119*T2^4 + 186*T1*T2^4 - 1486*T1^2*T2^4 + 1424*T1^3*T2^4 + 
      4127*T1^4*T2^4 - 6913*T1^5*T2^4 + 4127*T1^6*T2^4 + 1424*T1^7*T2^4 - 
      1486*T1^8*T2^4 + 186*T1^9*T2^4 + 119*T1^10*T2^4 - 49*T2^5 - 
      382*T1*T2^5 + 912*T1^2*T2^5 + 1424*T1^3*T2^5 - 6913*T1^4*T2^5 + 
      3632*T1^5*T2^5 + 3632*T1^6*T2^5 - 6913*T1^7*T2^5 + 1424*T1^8*T2^5 + 
      912*T1^9*T2^5 - 382*T1^10*T2^5 - 49*T1^11*T2^5 + 9*T2^6 + 218*T1*T2^6 + 
      234*T1^2*T2^6 - 2806*T1^3*T2^6 + 4127*T1^4*T2^6 + 3632*T1^5*T2^6 - 
      7692*T1^6*T2^6 + 3632*T1^7*T2^6 + 4127*T1^8*T2^6 - 2806*T1^9*T2^6 + 
      234*T1^10*T2^6 + 218*T1^11*T2^6 + 9*T1^12*T2^6 - 49*T1*T2^7 - 
      382*T1^2*T2^7 + 912*T1^3*T2^7 + 1424*T1^4*T2^7 - 6913*T1^5*T2^7 + 
      3632*T1^6*T2^7 + 3632*T1^7*T2^7 - 6913*T1^8*T2^7 + 1424*T1^9*T2^7 + 
      912*T1^10*T2^7 - 382*T1^11*T2^7 - 49*T1^12*T2^7 + 119*T1^2*T2^8 + 
      186*T1^3*T2^8 - 1486*T1^4*T2^8 + 1424*T1^5*T2^8 + 4127*T1^6*T2^8 - 
      6913*T1^7*T2^8 + 4127*T1^8*T2^8 + 1424*T1^9*T2^8 - 1486*T1^10*T2^8 + 
      186*T1^11*T2^8 + 119*T1^12*T2^8 - 153*T1^3*T2^9 + 186*T1^4*T2^9 + 
      912*T1^5*T2^9 - 2806*T1^6*T2^9 + 1424*T1^7*T2^9 + 1424*T1^8*T2^9 - 
      2806*T1^9*T2^9 + 912*T1^10*T2^9 + 186*T1^11*T2^9 - 153*T1^12*T2^9 + 
      119*T1^4*T2^10 - 382*T1^5*T2^10 + 234*T1^6*T2^10 + 912*T1^7*T2^10 - 
      1486*T1^8*T2^10 + 912*T1^9*T2^10 + 234*T1^10*T2^10 - 382*T1^11*T2^10 + 
      119*T1^12*T2^10 - 49*T1^5*T2^11 + 218*T1^6*T2^11 - 382*T1^7*T2^11 + 
      186*T1^8*T2^11 + 186*T1^9*T2^11 - 382*T1^10*T2^11 + 218*T1^11*T2^11 - 
      49*T1^12*T2^11 + 9*T1^6*T2^12 - 49*T1^7*T2^12 + 119*T1^8*T2^12 - 
      153*T1^9*T2^12 + 119*T1^10*T2^12 - 49*T1^11*T2^12 + 9*T1^12*T2^12)/
     (T1^6*T2^6))}, 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), 
   (1 - 5*T1 + 11*T1^2 - 17*T1^3 + 19*T1^4 - 17*T1^5 + 11*T1^6 - 5*T1^7 + 
     T1^8 - 5*T2 + 20*T1*T2 - 30*T1^2*T2 + 30*T1^3*T2 - 10*T1^4*T2 - 
     10*T1^5*T2 + 30*T1^6*T2 - 30*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
     11*T2^2 - 30*T1*T2^2 + 6*T1^2*T2^2 + 36*T1^3*T2^2 - 104*T1^4*T2^2 + 
     114*T1^5*T2^2 - 104*T1^6*T2^2 + 36*T1^7*T2^2 + 6*T1^8*T2^2 - 
     30*T1^9*T2^2 + 11*T1^10*T2^2 - 17*T2^3 + 30*T1*T2^3 + 36*T1^2*T2^3 - 
     64*T1^3*T2^3 + 118*T1^4*T2^3 - 28*T1^5*T2^3 - 28*T1^6*T2^3 + 
     118*T1^7*T2^3 - 64*T1^8*T2^3 + 36*T1^9*T2^3 + 30*T1^10*T2^3 - 
     17*T1^11*T2^3 + 19*T2^4 - 10*T1*T2^4 - 104*T1^2*T2^4 + 118*T1^3*T2^4 - 
     232*T1^4*T2^4 + 98*T1^5*T2^4 - 114*T1^6*T2^4 + 98*T1^7*T2^4 - 
     232*T1^8*T2^4 + 118*T1^9*T2^4 - 104*T1^10*T2^4 - 10*T1^11*T2^4 + 
     19*T1^12*T2^4 - 17*T2^5 - 10*T1*T2^5 + 114*T1^2*T2^5 - 28*T1^3*T2^5 + 
     98*T1^4*T2^5 + 166*T1^5*T2^5 - 40*T1^6*T2^5 - 40*T1^7*T2^5 + 
     166*T1^8*T2^5 + 98*T1^9*T2^5 - 28*T1^10*T2^5 + 114*T1^11*T2^5 - 
     10*T1^12*T2^5 - 17*T1^13*T2^5 + 11*T2^6 + 30*T1*T2^6 - 104*T1^2*T2^6 - 
     28*T1^3*T2^6 - 114*T1^4*T2^6 - 40*T1^5*T2^6 - 374*T1^6*T2^6 + 
     470*T1^7*T2^6 - 374*T1^8*T2^6 - 40*T1^9*T2^6 - 114*T1^10*T2^6 - 
     28*T1^11*T2^6 - 104*T1^12*T2^6 + 30*T1^13*T2^6 + 11*T1^14*T2^6 - 
     5*T2^7 - 30*T1*T2^7 + 36*T1^2*T2^7 + 118*T1^3*T2^7 + 98*T1^4*T2^7 - 
     40*T1^5*T2^7 + 470*T1^6*T2^7 - 198*T1^7*T2^7 - 198*T1^8*T2^7 + 
     470*T1^9*T2^7 - 40*T1^10*T2^7 + 98*T1^11*T2^7 + 118*T1^12*T2^7 + 
     36*T1^13*T2^7 - 30*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 
     6*T1^2*T2^8 - 64*T1^3*T2^8 - 232*T1^4*T2^8 + 166*T1^5*T2^8 - 
     374*T1^6*T2^8 - 198*T1^7*T2^8 + 408*T1^8*T2^8 - 198*T1^9*T2^8 - 
     374*T1^10*T2^8 + 166*T1^11*T2^8 - 232*T1^12*T2^8 - 64*T1^13*T2^8 + 
     6*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 30*T1^2*T2^9 + 
     36*T1^3*T2^9 + 118*T1^4*T2^9 + 98*T1^5*T2^9 - 40*T1^6*T2^9 + 
     470*T1^7*T2^9 - 198*T1^8*T2^9 - 198*T1^9*T2^9 + 470*T1^10*T2^9 - 
     40*T1^11*T2^9 + 98*T1^12*T2^9 + 118*T1^13*T2^9 + 36*T1^14*T2^9 - 
     30*T1^15*T2^9 - 5*T1^16*T2^9 + 11*T1^2*T2^10 + 30*T1^3*T2^10 - 
     104*T1^4*T2^10 - 28*T1^5*T2^10 - 114*T1^6*T2^10 - 40*T1^7*T2^10 - 
     374*T1^8*T2^10 + 470*T1^9*T2^10 - 374*T1^10*T2^10 - 40*T1^11*T2^10 - 
     114*T1^12*T2^10 - 28*T1^13*T2^10 - 104*T1^14*T2^10 + 30*T1^15*T2^10 + 
     11*T1^16*T2^10 - 17*T1^3*T2^11 - 10*T1^4*T2^11 + 114*T1^5*T2^11 - 
     28*T1^6*T2^11 + 98*T1^7*T2^11 + 166*T1^8*T2^11 - 40*T1^9*T2^11 - 
     40*T1^10*T2^11 + 166*T1^11*T2^11 + 98*T1^12*T2^11 - 28*T1^13*T2^11 + 
     114*T1^14*T2^11 - 10*T1^15*T2^11 - 17*T1^16*T2^11 + 19*T1^4*T2^12 - 
     10*T1^5*T2^12 - 104*T1^6*T2^12 + 118*T1^7*T2^12 - 232*T1^8*T2^12 + 
     98*T1^9*T2^12 - 114*T1^10*T2^12 + 98*T1^11*T2^12 - 232*T1^12*T2^12 + 
     118*T1^13*T2^12 - 104*T1^14*T2^12 - 10*T1^15*T2^12 + 19*T1^16*T2^12 - 
     17*T1^5*T2^13 + 30*T1^6*T2^13 + 36*T1^7*T2^13 - 64*T1^8*T2^13 + 
     118*T1^9*T2^13 - 28*T1^10*T2^13 - 28*T1^11*T2^13 + 118*T1^12*T2^13 - 
     64*T1^13*T2^13 + 36*T1^14*T2^13 + 30*T1^15*T2^13 - 17*T1^16*T2^13 + 
     11*T1^6*T2^14 - 30*T1^7*T2^14 + 6*T1^8*T2^14 + 36*T1^9*T2^14 - 
     104*T1^10*T2^14 + 114*T1^11*T2^14 - 104*T1^12*T2^14 + 36*T1^13*T2^14 + 
     6*T1^14*T2^14 - 30*T1^15*T2^14 + 11*T1^16*T2^14 - 5*T1^7*T2^15 + 
     20*T1^8*T2^15 - 30*T1^9*T2^15 + 30*T1^10*T2^15 - 10*T1^11*T2^15 - 
     10*T1^12*T2^15 + 30*T1^13*T2^15 - 30*T1^14*T2^15 + 20*T1^15*T2^15 - 
     5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 11*T1^10*T2^16 - 
     17*T1^11*T2^16 + 19*T1^12*T2^16 - 17*T1^13*T2^16 + 11*T1^14*T2^16 - 
     5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 185] -> 
  {-((2 - 11*T + 25*T^2 - 33*T^3 + 25*T^4 - 11*T^5 + 2*T^6)/T^3), 
   (1 - 5*T1 + 11*T1^2 - 15*T1^3 + 11*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 30*T1^2*T2 + 20*T1^3*T2 + 20*T1^4*T2 - 30*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 11*T2^2 - 30*T1*T2^2 + 5*T1^2*T2^2 + 
     47*T1^3*T2^2 - 121*T1^4*T2^2 + 47*T1^5*T2^2 + 5*T1^6*T2^2 - 
     30*T1^7*T2^2 + 11*T1^8*T2^2 - 15*T2^3 + 20*T1*T2^3 + 47*T1^2*T2^3 - 
     18*T1^3*T2^3 + 74*T1^4*T2^3 + 74*T1^5*T2^3 - 18*T1^6*T2^3 + 
     47*T1^7*T2^3 + 20*T1^8*T2^3 - 15*T1^9*T2^3 + 11*T2^4 + 20*T1*T2^4 - 
     121*T1^2*T2^4 + 74*T1^3*T2^4 - 559*T1^4*T2^4 + 559*T1^5*T2^4 - 
     559*T1^6*T2^4 + 74*T1^7*T2^4 - 121*T1^8*T2^4 + 20*T1^9*T2^4 + 
     11*T1^10*T2^4 - 5*T2^5 - 30*T1*T2^5 + 47*T1^2*T2^5 + 74*T1^3*T2^5 + 
     559*T1^4*T2^5 - 104*T1^5*T2^5 - 104*T1^6*T2^5 + 559*T1^7*T2^5 + 
     74*T1^8*T2^5 + 47*T1^9*T2^5 - 30*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 + 5*T1^2*T2^6 - 18*T1^3*T2^6 - 559*T1^4*T2^6 - 
     104*T1^5*T2^6 - 12*T1^6*T2^6 - 104*T1^7*T2^6 - 559*T1^8*T2^6 - 
     18*T1^9*T2^6 + 5*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     30*T1^2*T2^7 + 47*T1^3*T2^7 + 74*T1^4*T2^7 + 559*T1^5*T2^7 - 
     104*T1^6*T2^7 - 104*T1^7*T2^7 + 559*T1^8*T2^7 + 74*T1^9*T2^7 + 
     47*T1^10*T2^7 - 30*T1^11*T2^7 - 5*T1^12*T2^7 + 11*T1^2*T2^8 + 
     20*T1^3*T2^8 - 121*T1^4*T2^8 + 74*T1^5*T2^8 - 559*T1^6*T2^8 + 
     559*T1^7*T2^8 - 559*T1^8*T2^8 + 74*T1^9*T2^8 - 121*T1^10*T2^8 + 
     20*T1^11*T2^8 + 11*T1^12*T2^8 - 15*T1^3*T2^9 + 20*T1^4*T2^9 + 
     47*T1^5*T2^9 - 18*T1^6*T2^9 + 74*T1^7*T2^9 + 74*T1^8*T2^9 - 
     18*T1^9*T2^9 + 47*T1^10*T2^9 + 20*T1^11*T2^9 - 15*T1^12*T2^9 + 
     11*T1^4*T2^10 - 30*T1^5*T2^10 + 5*T1^6*T2^10 + 47*T1^7*T2^10 - 
     121*T1^8*T2^10 + 47*T1^9*T2^10 + 5*T1^10*T2^10 - 30*T1^11*T2^10 + 
     11*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 30*T1^7*T2^11 + 
     20*T1^8*T2^11 + 20*T1^9*T2^11 - 30*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 11*T1^8*T2^12 - 
     15*T1^9*T2^12 + 11*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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*(104 - 304*T1 + 500*T1^2 - 572*T1^3 + 500*T1^4 - 304*T1^5 + 104*T1^6 - 
      304*T2 + 592*T1*T2 - 584*T1^2*T2 + 216*T1^3*T2 + 216*T1^4*T2 - 
      584*T1^5*T2 + 592*T1^6*T2 - 304*T1^7*T2 + 500*T2^2 - 584*T1*T2^2 + 
      254*T1^2*T2^2 + 214*T1^3*T2^2 - 288*T1^4*T2^2 + 214*T1^5*T2^2 + 
      254*T1^6*T2^2 - 584*T1^7*T2^2 + 500*T1^8*T2^2 - 572*T2^3 + 
      216*T1*T2^3 + 214*T1^2*T2^3 - 418*T1^3*T2^3 + 62*T1^4*T2^3 + 
      62*T1^5*T2^3 - 418*T1^6*T2^3 + 214*T1^7*T2^3 + 216*T1^8*T2^3 - 
      572*T1^9*T2^3 + 500*T2^4 + 216*T1*T2^4 - 288*T1^2*T2^4 + 62*T1^3*T2^4 + 
      487*T1^4*T2^4 - 361*T1^5*T2^4 + 487*T1^6*T2^4 + 62*T1^7*T2^4 - 
      288*T1^8*T2^4 + 216*T1^9*T2^4 + 500*T1^10*T2^4 - 304*T2^5 - 
      584*T1*T2^5 + 214*T1^2*T2^5 + 62*T1^3*T2^5 - 361*T1^4*T2^5 - 
      64*T1^5*T2^5 - 64*T1^6*T2^5 - 361*T1^7*T2^5 + 62*T1^8*T2^5 + 
      214*T1^9*T2^5 - 584*T1^10*T2^5 - 304*T1^11*T2^5 + 104*T2^6 + 
      592*T1*T2^6 + 254*T1^2*T2^6 - 418*T1^3*T2^6 + 487*T1^4*T2^6 - 
      64*T1^5*T2^6 + 348*T1^6*T2^6 - 64*T1^7*T2^6 + 487*T1^8*T2^6 - 
      418*T1^9*T2^6 + 254*T1^10*T2^6 + 592*T1^11*T2^6 + 104*T1^12*T2^6 - 
      304*T1*T2^7 - 584*T1^2*T2^7 + 214*T1^3*T2^7 + 62*T1^4*T2^7 - 
      361*T1^5*T2^7 - 64*T1^6*T2^7 - 64*T1^7*T2^7 - 361*T1^8*T2^7 + 
      62*T1^9*T2^7 + 214*T1^10*T2^7 - 584*T1^11*T2^7 - 304*T1^12*T2^7 + 
      500*T1^2*T2^8 + 216*T1^3*T2^8 - 288*T1^4*T2^8 + 62*T1^5*T2^8 + 
      487*T1^6*T2^8 - 361*T1^7*T2^8 + 487*T1^8*T2^8 + 62*T1^9*T2^8 - 
      288*T1^10*T2^8 + 216*T1^11*T2^8 + 500*T1^12*T2^8 - 572*T1^3*T2^9 + 
      216*T1^4*T2^9 + 214*T1^5*T2^9 - 418*T1^6*T2^9 + 62*T1^7*T2^9 + 
      62*T1^8*T2^9 - 418*T1^9*T2^9 + 214*T1^10*T2^9 + 216*T1^11*T2^9 - 
      572*T1^12*T2^9 + 500*T1^4*T2^10 - 584*T1^5*T2^10 + 254*T1^6*T2^10 + 
      214*T1^7*T2^10 - 288*T1^8*T2^10 + 214*T1^9*T2^10 + 254*T1^10*T2^10 - 
      584*T1^11*T2^10 + 500*T1^12*T2^10 - 304*T1^5*T2^11 + 592*T1^6*T2^11 - 
      584*T1^7*T2^11 + 216*T1^8*T2^11 + 216*T1^9*T2^11 - 584*T1^10*T2^11 + 
      592*T1^11*T2^11 - 304*T1^12*T2^11 + 104*T1^6*T2^12 - 304*T1^7*T2^12 + 
      500*T1^8*T2^12 - 572*T1^9*T2^12 + 500*T1^10*T2^12 - 304*T1^11*T2^12 + 
      104*T1^12*T2^12))/(T1^6*T2^6)}, Knot[11, Alternating, 187] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3), 
   (1 - 5*T1 + 11*T1^2 - 15*T1^3 + 11*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 30*T1^2*T2 + 20*T1^3*T2 + 20*T1^4*T2 - 30*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 11*T2^2 - 30*T1*T2^2 + 15*T1^2*T2^2 + 
     27*T1^3*T2^2 - 89*T1^4*T2^2 + 27*T1^5*T2^2 + 15*T1^6*T2^2 - 
     30*T1^7*T2^2 + 11*T1^8*T2^2 - 15*T2^3 + 20*T1*T2^3 + 27*T1^2*T2^3 - 
     52*T1^3*T2^3 + 76*T1^4*T2^3 + 76*T1^5*T2^3 - 52*T1^6*T2^3 + 
     27*T1^7*T2^3 + 20*T1^8*T2^3 - 15*T1^9*T2^3 + 11*T2^4 + 20*T1*T2^4 - 
     89*T1^2*T2^4 + 76*T1^3*T2^4 - 84*T1^4*T2^4 - 68*T1^5*T2^4 - 
     84*T1^6*T2^4 + 76*T1^7*T2^4 - 89*T1^8*T2^4 + 20*T1^9*T2^4 + 
     11*T1^10*T2^4 - 5*T2^5 - 30*T1*T2^5 + 27*T1^2*T2^5 + 76*T1^3*T2^5 - 
     68*T1^4*T2^5 + 134*T1^5*T2^5 + 134*T1^6*T2^5 - 68*T1^7*T2^5 + 
     76*T1^8*T2^5 + 27*T1^9*T2^5 - 30*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 + 15*T1^2*T2^6 - 52*T1^3*T2^6 - 84*T1^4*T2^6 + 
     134*T1^5*T2^6 - 360*T1^6*T2^6 + 134*T1^7*T2^6 - 84*T1^8*T2^6 - 
     52*T1^9*T2^6 + 15*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     30*T1^2*T2^7 + 27*T1^3*T2^7 + 76*T1^4*T2^7 - 68*T1^5*T2^7 + 
     134*T1^6*T2^7 + 134*T1^7*T2^7 - 68*T1^8*T2^7 + 76*T1^9*T2^7 + 
     27*T1^10*T2^7 - 30*T1^11*T2^7 - 5*T1^12*T2^7 + 11*T1^2*T2^8 + 
     20*T1^3*T2^8 - 89*T1^4*T2^8 + 76*T1^5*T2^8 - 84*T1^6*T2^8 - 
     68*T1^7*T2^8 - 84*T1^8*T2^8 + 76*T1^9*T2^8 - 89*T1^10*T2^8 + 
     20*T1^11*T2^8 + 11*T1^12*T2^8 - 15*T1^3*T2^9 + 20*T1^4*T2^9 + 
     27*T1^5*T2^9 - 52*T1^6*T2^9 + 76*T1^7*T2^9 + 76*T1^8*T2^9 - 
     52*T1^9*T2^9 + 27*T1^10*T2^9 + 20*T1^11*T2^9 - 15*T1^12*T2^9 + 
     11*T1^4*T2^10 - 30*T1^5*T2^10 + 15*T1^6*T2^10 + 27*T1^7*T2^10 - 
     89*T1^8*T2^10 + 27*T1^9*T2^10 + 15*T1^10*T2^10 - 30*T1^11*T2^10 + 
     11*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 30*T1^7*T2^11 + 
     20*T1^8*T2^11 + 20*T1^9*T2^11 - 30*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 11*T1^8*T2^12 - 
     15*T1^9*T2^12 + 11*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 188] -> 
  {(2 - 9*T + 15*T^2 - 15*T^3 + 15*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (7 - 31*T1 + 51*T1^2 - 51*T1^3 + 51*T1^4 - 31*T1^5 + 7*T1^6 - 31*T2 + 
     106*T1*T2 - 88*T1^2*T2 - 88*T1^5*T2 + 106*T1^6*T2 - 31*T1^7*T2 + 
     51*T2^2 - 88*T1*T2^2 - 183*T1^2*T2^2 + 409*T1^3*T2^2 - 289*T1^4*T2^2 + 
     409*T1^5*T2^2 - 183*T1^6*T2^2 - 88*T1^7*T2^2 + 51*T1^8*T2^2 - 51*T2^3 + 
     409*T1^2*T2^3 - 402*T1^3*T2^3 - 36*T1^4*T2^3 - 36*T1^5*T2^3 - 
     402*T1^6*T2^3 + 409*T1^7*T2^3 - 51*T1^9*T2^3 + 51*T2^4 - 289*T1^2*T2^4 - 
     36*T1^3*T2^4 + 597*T1^4*T2^4 - 485*T1^5*T2^4 + 597*T1^6*T2^4 - 
     36*T1^7*T2^4 - 289*T1^8*T2^4 + 51*T1^10*T2^4 - 31*T2^5 - 88*T1*T2^5 + 
     409*T1^2*T2^5 - 36*T1^3*T2^5 - 485*T1^4*T2^5 + 190*T1^5*T2^5 + 
     190*T1^6*T2^5 - 485*T1^7*T2^5 - 36*T1^8*T2^5 + 409*T1^9*T2^5 - 
     88*T1^10*T2^5 - 31*T1^11*T2^5 + 7*T2^6 + 106*T1*T2^6 - 183*T1^2*T2^6 - 
     402*T1^3*T2^6 + 597*T1^4*T2^6 + 190*T1^5*T2^6 - 600*T1^6*T2^6 + 
     190*T1^7*T2^6 + 597*T1^8*T2^6 - 402*T1^9*T2^6 - 183*T1^10*T2^6 + 
     106*T1^11*T2^6 + 7*T1^12*T2^6 - 31*T1*T2^7 - 88*T1^2*T2^7 + 
     409*T1^3*T2^7 - 36*T1^4*T2^7 - 485*T1^5*T2^7 + 190*T1^6*T2^7 + 
     190*T1^7*T2^7 - 485*T1^8*T2^7 - 36*T1^9*T2^7 + 409*T1^10*T2^7 - 
     88*T1^11*T2^7 - 31*T1^12*T2^7 + 51*T1^2*T2^8 - 289*T1^4*T2^8 - 
     36*T1^5*T2^8 + 597*T1^6*T2^8 - 485*T1^7*T2^8 + 597*T1^8*T2^8 - 
     36*T1^9*T2^8 - 289*T1^10*T2^8 + 51*T1^12*T2^8 - 51*T1^3*T2^9 + 
     409*T1^5*T2^9 - 402*T1^6*T2^9 - 36*T1^7*T2^9 - 36*T1^8*T2^9 - 
     402*T1^9*T2^9 + 409*T1^10*T2^9 - 51*T1^12*T2^9 + 51*T1^4*T2^10 - 
     88*T1^5*T2^10 - 183*T1^6*T2^10 + 409*T1^7*T2^10 - 289*T1^8*T2^10 + 
     409*T1^9*T2^10 - 183*T1^10*T2^10 - 88*T1^11*T2^10 + 51*T1^12*T2^10 - 
     31*T1^5*T2^11 + 106*T1^6*T2^11 - 88*T1^7*T2^11 - 88*T1^10*T2^11 + 
     106*T1^11*T2^11 - 31*T1^12*T2^11 + 7*T1^6*T2^12 - 31*T1^7*T2^12 + 
     51*T1^8*T2^12 - 51*T1^9*T2^12 + 51*T1^10*T2^12 - 31*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   -((2*T1^2 - 2*T1^3 + 2*T1^4 - 11*T1^2*T2 + 3*T1^3*T2 + 3*T1^4*T2 - 
      11*T1^5*T2 + 2*T2^2 - 11*T1*T2^2 + 49*T1^2*T2^2 - 5*T1^3*T2^2 - 
      T1^4*T2^2 - 5*T1^5*T2^2 + 49*T1^6*T2^2 - 11*T1^7*T2^2 + 2*T1^8*T2^2 - 
      2*T2^3 + 3*T1*T2^3 - 5*T1^2*T2^3 - 148*T1^3*T2^3 + 50*T1^4*T2^3 + 
      50*T1^5*T2^3 - 148*T1^6*T2^3 - 5*T1^7*T2^3 + 3*T1^8*T2^3 - 
      2*T1^9*T2^3 + 2*T2^4 + 3*T1*T2^4 - T1^2*T2^4 + 50*T1^3*T2^4 + 
      369*T1^4*T2^4 - 413*T1^5*T2^4 + 369*T1^6*T2^4 + 50*T1^7*T2^4 - 
      T1^8*T2^4 + 3*T1^9*T2^4 + 2*T1^10*T2^4 - 11*T1*T2^5 - 5*T1^2*T2^5 + 
      50*T1^3*T2^5 - 413*T1^4*T2^5 + 42*T1^5*T2^5 + 42*T1^6*T2^5 - 
      413*T1^7*T2^5 + 50*T1^8*T2^5 - 5*T1^9*T2^5 - 11*T1^10*T2^5 + 
      49*T1^2*T2^6 - 148*T1^3*T2^6 + 369*T1^4*T2^6 + 42*T1^5*T2^6 + 
      156*T1^6*T2^6 + 42*T1^7*T2^6 + 369*T1^8*T2^6 - 148*T1^9*T2^6 + 
      49*T1^10*T2^6 - 11*T1^2*T2^7 - 5*T1^3*T2^7 + 50*T1^4*T2^7 - 
      413*T1^5*T2^7 + 42*T1^6*T2^7 + 42*T1^7*T2^7 - 413*T1^8*T2^7 + 
      50*T1^9*T2^7 - 5*T1^10*T2^7 - 11*T1^11*T2^7 + 2*T1^2*T2^8 + 
      3*T1^3*T2^8 - T1^4*T2^8 + 50*T1^5*T2^8 + 369*T1^6*T2^8 - 
      413*T1^7*T2^8 + 369*T1^8*T2^8 + 50*T1^9*T2^8 - T1^10*T2^8 + 
      3*T1^11*T2^8 + 2*T1^12*T2^8 - 2*T1^3*T2^9 + 3*T1^4*T2^9 - 5*T1^5*T2^9 - 
      148*T1^6*T2^9 + 50*T1^7*T2^9 + 50*T1^8*T2^9 - 148*T1^9*T2^9 - 
      5*T1^10*T2^9 + 3*T1^11*T2^9 - 2*T1^12*T2^9 + 2*T1^4*T2^10 - 
      11*T1^5*T2^10 + 49*T1^6*T2^10 - 5*T1^7*T2^10 - T1^8*T2^10 - 
      5*T1^9*T2^10 + 49*T1^10*T2^10 - 11*T1^11*T2^10 + 2*T1^12*T2^10 - 
      11*T1^7*T2^11 + 3*T1^8*T2^11 + 3*T1^9*T2^11 - 11*T1^10*T2^11 + 
      2*T1^8*T2^12 - 2*T1^9*T2^12 + 2*T1^10*T2^12)/(T1^6*T2^6))}, 
 Knot[11, Alternating, 190] -> 
  {-((2 - 9*T + 19*T^2 - 25*T^3 + 19*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((1 - 5*T1 + 11*T1^2 - 15*T1^3 + 11*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
      20*T1*T2 - 30*T1^2*T2 + 20*T1^3*T2 + 20*T1^4*T2 - 30*T1^5*T2 + 
      20*T1^6*T2 - 5*T1^7*T2 + 11*T2^2 - 30*T1*T2^2 + 6*T1^2*T2^2 + 
      42*T1^3*T2^2 - 106*T1^4*T2^2 + 42*T1^5*T2^2 + 6*T1^6*T2^2 - 
      30*T1^7*T2^2 + 11*T1^8*T2^2 - 15*T2^3 + 20*T1*T2^3 + 42*T1^2*T2^3 - 
      30*T1^3*T2^3 + 64*T1^4*T2^3 + 64*T1^5*T2^3 - 30*T1^6*T2^3 + 
      42*T1^7*T2^3 + 20*T1^8*T2^3 - 15*T1^9*T2^3 + 11*T2^4 + 20*T1*T2^4 - 
      106*T1^2*T2^4 + 64*T1^3*T2^4 - 290*T1^4*T2^4 + 206*T1^5*T2^4 - 
      290*T1^6*T2^4 + 64*T1^7*T2^4 - 106*T1^8*T2^4 + 20*T1^9*T2^4 + 
      11*T1^10*T2^4 - 5*T2^5 - 30*T1*T2^5 + 42*T1^2*T2^5 + 64*T1^3*T2^5 + 
      206*T1^4*T2^5 + 62*T1^5*T2^5 + 62*T1^6*T2^5 + 206*T1^7*T2^5 + 
      64*T1^8*T2^5 + 42*T1^9*T2^5 - 30*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
      20*T1*T2^6 + 6*T1^2*T2^6 - 30*T1^3*T2^6 - 290*T1^4*T2^6 + 
      62*T1^5*T2^6 - 348*T1^6*T2^6 + 62*T1^7*T2^6 - 290*T1^8*T2^6 - 
      30*T1^9*T2^6 + 6*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
      30*T1^2*T2^7 + 42*T1^3*T2^7 + 64*T1^4*T2^7 + 206*T1^5*T2^7 + 
      62*T1^6*T2^7 + 62*T1^7*T2^7 + 206*T1^8*T2^7 + 64*T1^9*T2^7 + 
      42*T1^10*T2^7 - 30*T1^11*T2^7 - 5*T1^12*T2^7 + 11*T1^2*T2^8 + 
      20*T1^3*T2^8 - 106*T1^4*T2^8 + 64*T1^5*T2^8 - 290*T1^6*T2^8 + 
      206*T1^7*T2^8 - 290*T1^8*T2^8 + 64*T1^9*T2^8 - 106*T1^10*T2^8 + 
      20*T1^11*T2^8 + 11*T1^12*T2^8 - 15*T1^3*T2^9 + 20*T1^4*T2^9 + 
      42*T1^5*T2^9 - 30*T1^6*T2^9 + 64*T1^7*T2^9 + 64*T1^8*T2^9 - 
      30*T1^9*T2^9 + 42*T1^10*T2^9 + 20*T1^11*T2^9 - 15*T1^12*T2^9 + 
      11*T1^4*T2^10 - 30*T1^5*T2^10 + 6*T1^6*T2^10 + 42*T1^7*T2^10 - 
      106*T1^8*T2^10 + 42*T1^9*T2^10 + 6*T1^10*T2^10 - 30*T1^11*T2^10 + 
      11*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 30*T1^7*T2^11 + 
      20*T1^8*T2^11 + 20*T1^9*T2^11 - 30*T1^10*T2^11 + 20*T1^11*T2^11 - 
      5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 11*T1^8*T2^12 - 
      15*T1^9*T2^12 + 11*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[11, Alternating, 191] -> 
  {(4 - 11*T + 17*T^2 - 19*T^3 + 17*T^4 - 11*T^5 + 4*T^6)/T^3, 
   (2*(104 - 280*T1 + 430*T1^2 - 480*T1^3 + 430*T1^4 - 280*T1^5 + 104*T1^6 - 
      280*T2 + 478*T1*T2 - 408*T1^2*T2 + 136*T1^3*T2 + 136*T1^4*T2 - 
      408*T1^5*T2 + 478*T1^6*T2 - 280*T1^7*T2 + 430*T2^2 - 408*T1*T2^2 + 
      125*T1^2*T2^2 + 102*T1^3*T2^2 - 86*T1^4*T2^2 + 102*T1^5*T2^2 + 
      125*T1^6*T2^2 - 408*T1^7*T2^2 + 430*T1^8*T2^2 - 480*T2^3 + 
      136*T1*T2^3 + 102*T1^2*T2^3 - 117*T1^3*T2^3 - 42*T1^4*T2^3 - 
      42*T1^5*T2^3 - 117*T1^6*T2^3 + 102*T1^7*T2^3 + 136*T1^8*T2^3 - 
      480*T1^9*T2^3 + 430*T2^4 + 136*T1*T2^4 - 86*T1^2*T2^4 - 42*T1^3*T2^4 + 
      201*T1^4*T2^4 - 57*T1^5*T2^4 + 201*T1^6*T2^4 - 42*T1^7*T2^4 - 
      86*T1^8*T2^4 + 136*T1^9*T2^4 + 430*T1^10*T2^4 - 280*T2^5 - 
      408*T1*T2^5 + 102*T1^2*T2^5 - 42*T1^3*T2^5 - 57*T1^4*T2^5 - 
      85*T1^5*T2^5 - 85*T1^6*T2^5 - 57*T1^7*T2^5 - 42*T1^8*T2^5 + 
      102*T1^9*T2^5 - 408*T1^10*T2^5 - 280*T1^11*T2^5 + 104*T2^6 + 
      478*T1*T2^6 + 125*T1^2*T2^6 - 117*T1^3*T2^6 + 201*T1^4*T2^6 - 
      85*T1^5*T2^6 + 246*T1^6*T2^6 - 85*T1^7*T2^6 + 201*T1^8*T2^6 - 
      117*T1^9*T2^6 + 125*T1^10*T2^6 + 478*T1^11*T2^6 + 104*T1^12*T2^6 - 
      280*T1*T2^7 - 408*T1^2*T2^7 + 102*T1^3*T2^7 - 42*T1^4*T2^7 - 
      57*T1^5*T2^7 - 85*T1^6*T2^7 - 85*T1^7*T2^7 - 57*T1^8*T2^7 - 
      42*T1^9*T2^7 + 102*T1^10*T2^7 - 408*T1^11*T2^7 - 280*T1^12*T2^7 + 
      430*T1^2*T2^8 + 136*T1^3*T2^8 - 86*T1^4*T2^8 - 42*T1^5*T2^8 + 
      201*T1^6*T2^8 - 57*T1^7*T2^8 + 201*T1^8*T2^8 - 42*T1^9*T2^8 - 
      86*T1^10*T2^8 + 136*T1^11*T2^8 + 430*T1^12*T2^8 - 480*T1^3*T2^9 + 
      136*T1^4*T2^9 + 102*T1^5*T2^9 - 117*T1^6*T2^9 - 42*T1^7*T2^9 - 
      42*T1^8*T2^9 - 117*T1^9*T2^9 + 102*T1^10*T2^9 + 136*T1^11*T2^9 - 
      480*T1^12*T2^9 + 430*T1^4*T2^10 - 408*T1^5*T2^10 + 125*T1^6*T2^10 + 
      102*T1^7*T2^10 - 86*T1^8*T2^10 + 102*T1^9*T2^10 + 125*T1^10*T2^10 - 
      408*T1^11*T2^10 + 430*T1^12*T2^10 - 280*T1^5*T2^11 + 478*T1^6*T2^11 - 
      408*T1^7*T2^11 + 136*T1^8*T2^11 + 136*T1^9*T2^11 - 408*T1^10*T2^11 + 
      478*T1^11*T2^11 - 280*T1^12*T2^11 + 104*T1^6*T2^12 - 280*T1^7*T2^12 + 
      430*T1^8*T2^12 - 480*T1^9*T2^12 + 430*T1^10*T2^12 - 280*T1^11*T2^12 + 
      104*T1^12*T2^12))/(T1^6*T2^6)}, Knot[11, Alternating, 192] -> 
  {(8 - 24*T + 33*T^2 - 24*T^3 + 8*T^4)/T^2, 
   (2*(608 - 1776*T1 + 2424*T1^2 - 1776*T1^3 + 608*T1^4 - 1776*T2 + 
      3436*T1*T2 - 1912*T1^2*T2 - 1912*T1^3*T2 + 3436*T1^4*T2 - 
      1776*T1^5*T2 + 2424*T2^2 - 1912*T1*T2^2 - 3269*T1^2*T2^2 + 
      6903*T1^3*T2^2 - 3269*T1^4*T2^2 - 1912*T1^5*T2^2 + 2424*T1^6*T2^2 - 
      1776*T2^3 - 1912*T1*T2^3 + 6903*T1^2*T2^3 - 4418*T1^3*T2^3 - 
      4418*T1^4*T2^3 + 6903*T1^5*T2^3 - 1912*T1^6*T2^3 - 1776*T1^7*T2^3 + 
      608*T2^4 + 3436*T1*T2^4 - 3269*T1^2*T2^4 - 4418*T1^3*T2^4 + 
      10152*T1^4*T2^4 - 4418*T1^5*T2^4 - 3269*T1^6*T2^4 + 3436*T1^7*T2^4 + 
      608*T1^8*T2^4 - 1776*T1*T2^5 - 1912*T1^2*T2^5 + 6903*T1^3*T2^5 - 
      4418*T1^4*T2^5 - 4418*T1^5*T2^5 + 6903*T1^6*T2^5 - 1912*T1^7*T2^5 - 
      1776*T1^8*T2^5 + 2424*T1^2*T2^6 - 1912*T1^3*T2^6 - 3269*T1^4*T2^6 + 
      6903*T1^5*T2^6 - 3269*T1^6*T2^6 - 1912*T1^7*T2^6 + 2424*T1^8*T2^6 - 
      1776*T1^3*T2^7 + 3436*T1^4*T2^7 - 1912*T1^5*T2^7 - 1912*T1^6*T2^7 + 
      3436*T1^7*T2^7 - 1776*T1^8*T2^7 + 608*T1^4*T2^8 - 1776*T1^5*T2^8 + 
      2424*T1^6*T2^8 - 1776*T1^7*T2^8 + 608*T1^8*T2^8))/(T1^4*T2^4)}, 
 Knot[11, Alternating, 193] -> 
  {(2 - 10*T + 22*T^2 - 27*T^3 + 22*T^4 - 10*T^5 + 2*T^6)/T^3, 
   -((9 - 45*T1 + 99*T1^2 - 121*T1^3 + 99*T1^4 - 45*T1^5 + 9*T1^6 - 45*T2 + 
      180*T1*T2 - 270*T1^2*T2 + 110*T1^3*T2 + 110*T1^4*T2 - 270*T1^5*T2 + 
      180*T1^6*T2 - 45*T1^7*T2 + 99*T2^2 - 270*T1*T2^2 + 55*T1^2*T2^2 + 
      693*T1^3*T2^2 - 915*T1^4*T2^2 + 693*T1^5*T2^2 + 55*T1^6*T2^2 - 
      270*T1^7*T2^2 + 99*T1^8*T2^2 - 121*T2^3 + 110*T1*T2^3 + 693*T1^2*T2^3 - 
      1622*T1^3*T2^3 + 596*T1^4*T2^3 + 596*T1^5*T2^3 - 1622*T1^6*T2^3 + 
      693*T1^7*T2^3 + 110*T1^8*T2^3 - 121*T1^9*T2^3 + 99*T2^4 + 110*T1*T2^4 - 
      915*T1^2*T2^4 + 596*T1^3*T2^4 + 2311*T1^4*T2^4 - 3063*T1^5*T2^4 + 
      2311*T1^6*T2^4 + 596*T1^7*T2^4 - 915*T1^8*T2^4 + 110*T1^9*T2^4 + 
      99*T1^10*T2^4 - 45*T2^5 - 270*T1*T2^5 + 693*T1^2*T2^5 + 596*T1^3*T2^5 - 
      3063*T1^4*T2^5 + 1128*T1^5*T2^5 + 1128*T1^6*T2^5 - 3063*T1^7*T2^5 + 
      596*T1^8*T2^5 + 693*T1^9*T2^5 - 270*T1^10*T2^5 - 45*T1^11*T2^5 + 
      9*T2^6 + 180*T1*T2^6 + 55*T1^2*T2^6 - 1622*T1^3*T2^6 + 2311*T1^4*T2^6 + 
      1128*T1^5*T2^6 - 1968*T1^6*T2^6 + 1128*T1^7*T2^6 + 2311*T1^8*T2^6 - 
      1622*T1^9*T2^6 + 55*T1^10*T2^6 + 180*T1^11*T2^6 + 9*T1^12*T2^6 - 
      45*T1*T2^7 - 270*T1^2*T2^7 + 693*T1^3*T2^7 + 596*T1^4*T2^7 - 
      3063*T1^5*T2^7 + 1128*T1^6*T2^7 + 1128*T1^7*T2^7 - 3063*T1^8*T2^7 + 
      596*T1^9*T2^7 + 693*T1^10*T2^7 - 270*T1^11*T2^7 - 45*T1^12*T2^7 + 
      99*T1^2*T2^8 + 110*T1^3*T2^8 - 915*T1^4*T2^8 + 596*T1^5*T2^8 + 
      2311*T1^6*T2^8 - 3063*T1^7*T2^8 + 2311*T1^8*T2^8 + 596*T1^9*T2^8 - 
      915*T1^10*T2^8 + 110*T1^11*T2^8 + 99*T1^12*T2^8 - 121*T1^3*T2^9 + 
      110*T1^4*T2^9 + 693*T1^5*T2^9 - 1622*T1^6*T2^9 + 596*T1^7*T2^9 + 
      596*T1^8*T2^9 - 1622*T1^9*T2^9 + 693*T1^10*T2^9 + 110*T1^11*T2^9 - 
      121*T1^12*T2^9 + 99*T1^4*T2^10 - 270*T1^5*T2^10 + 55*T1^6*T2^10 + 
      693*T1^7*T2^10 - 915*T1^8*T2^10 + 693*T1^9*T2^10 + 55*T1^10*T2^10 - 
      270*T1^11*T2^10 + 99*T1^12*T2^10 - 45*T1^5*T2^11 + 180*T1^6*T2^11 - 
      270*T1^7*T2^11 + 110*T1^8*T2^11 + 110*T1^9*T2^11 - 270*T1^10*T2^11 + 
      180*T1^11*T2^11 - 45*T1^12*T2^11 + 9*T1^6*T2^12 - 45*T1^7*T2^12 + 
      99*T1^8*T2^12 - 121*T1^9*T2^12 + 99*T1^10*T2^12 - 45*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, 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 + 40*T1*T2 - 70*T1^2*T2 + 60*T1^3*T2 - 30*T1^4*T2 - 
      30*T1^5*T2 + 60*T1^6*T2 - 70*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
      24*T2^2 - 70*T1*T2^2 + 60*T1^2*T2^2 + 60*T1^3*T2^2 - 134*T1^4*T2^2 + 
      218*T1^5*T2^2 - 134*T1^6*T2^2 + 60*T1^7*T2^2 + 60*T1^8*T2^2 - 
      70*T1^9*T2^2 + 24*T1^10*T2^2 - 36*T2^3 + 60*T1*T2^3 + 60*T1^2*T2^3 - 
      274*T1^3*T2^3 + 208*T1^4*T2^3 - 168*T1^5*T2^3 - 168*T1^6*T2^3 + 
      208*T1^7*T2^3 - 274*T1^8*T2^3 + 60*T1^9*T2^3 + 60*T1^10*T2^3 - 
      36*T1^11*T2^3 + 42*T2^4 - 30*T1*T2^4 - 134*T1^2*T2^4 + 208*T1^3*T2^4 + 
      217*T1^4*T2^4 - 330*T1^5*T2^4 + 707*T1^6*T2^4 - 330*T1^7*T2^4 + 
      217*T1^8*T2^4 + 208*T1^9*T2^4 - 134*T1^10*T2^4 - 30*T1^11*T2^4 + 
      42*T1^12*T2^4 - 36*T2^5 - 30*T1*T2^5 + 218*T1^2*T2^5 - 168*T1^3*T2^5 - 
      330*T1^4*T2^5 + 128*T1^5*T2^5 - 335*T1^6*T2^5 - 335*T1^7*T2^5 + 
      128*T1^8*T2^5 - 330*T1^9*T2^5 - 168*T1^10*T2^5 + 218*T1^11*T2^5 - 
      30*T1^12*T2^5 - 36*T1^13*T2^5 + 24*T2^6 + 60*T1*T2^6 - 134*T1^2*T2^6 - 
      168*T1^3*T2^6 + 707*T1^4*T2^6 - 335*T1^5*T2^6 + 635*T1^6*T2^6 - 
      31*T1^7*T2^6 + 635*T1^8*T2^6 - 335*T1^9*T2^6 + 707*T1^10*T2^6 - 
      168*T1^11*T2^6 - 134*T1^12*T2^6 + 60*T1^13*T2^6 + 24*T1^14*T2^6 - 
      10*T2^7 - 70*T1*T2^7 + 60*T1^2*T2^7 + 208*T1^3*T2^7 - 330*T1^4*T2^7 - 
      335*T1^5*T2^7 - 31*T1^6*T2^7 - 422*T1^7*T2^7 - 422*T1^8*T2^7 - 
      31*T1^9*T2^7 - 335*T1^10*T2^7 - 330*T1^11*T2^7 + 208*T1^12*T2^7 + 
      60*T1^13*T2^7 - 70*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 + 
      60*T1^2*T2^8 - 274*T1^3*T2^8 + 217*T1^4*T2^8 + 128*T1^5*T2^8 + 
      635*T1^6*T2^8 - 422*T1^7*T2^8 + 1200*T1^8*T2^8 - 422*T1^9*T2^8 + 
      635*T1^10*T2^8 + 128*T1^11*T2^8 + 217*T1^12*T2^8 - 274*T1^13*T2^8 + 
      60*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
      70*T1^2*T2^9 + 60*T1^3*T2^9 + 208*T1^4*T2^9 - 330*T1^5*T2^9 - 
      335*T1^6*T2^9 - 31*T1^7*T2^9 - 422*T1^8*T2^9 - 422*T1^9*T2^9 - 
      31*T1^10*T2^9 - 335*T1^11*T2^9 - 330*T1^12*T2^9 + 208*T1^13*T2^9 + 
      60*T1^14*T2^9 - 70*T1^15*T2^9 - 10*T1^16*T2^9 + 24*T1^2*T2^10 + 
      60*T1^3*T2^10 - 134*T1^4*T2^10 - 168*T1^5*T2^10 + 707*T1^6*T2^10 - 
      335*T1^7*T2^10 + 635*T1^8*T2^10 - 31*T1^9*T2^10 + 635*T1^10*T2^10 - 
      335*T1^11*T2^10 + 707*T1^12*T2^10 - 168*T1^13*T2^10 - 134*T1^14*T2^10 + 
      60*T1^15*T2^10 + 24*T1^16*T2^10 - 36*T1^3*T2^11 - 30*T1^4*T2^11 + 
      218*T1^5*T2^11 - 168*T1^6*T2^11 - 330*T1^7*T2^11 + 128*T1^8*T2^11 - 
      335*T1^9*T2^11 - 335*T1^10*T2^11 + 128*T1^11*T2^11 - 330*T1^12*T2^11 - 
      168*T1^13*T2^11 + 218*T1^14*T2^11 - 30*T1^15*T2^11 - 36*T1^16*T2^11 + 
      42*T1^4*T2^12 - 30*T1^5*T2^12 - 134*T1^6*T2^12 + 208*T1^7*T2^12 + 
      217*T1^8*T2^12 - 330*T1^9*T2^12 + 707*T1^10*T2^12 - 330*T1^11*T2^12 + 
      217*T1^12*T2^12 + 208*T1^13*T2^12 - 134*T1^14*T2^12 - 30*T1^15*T2^12 + 
      42*T1^16*T2^12 - 36*T1^5*T2^13 + 60*T1^6*T2^13 + 60*T1^7*T2^13 - 
      274*T1^8*T2^13 + 208*T1^9*T2^13 - 168*T1^10*T2^13 - 168*T1^11*T2^13 + 
      208*T1^12*T2^13 - 274*T1^13*T2^13 + 60*T1^14*T2^13 + 60*T1^15*T2^13 - 
      36*T1^16*T2^13 + 24*T1^6*T2^14 - 70*T1^7*T2^14 + 60*T1^8*T2^14 + 
      60*T1^9*T2^14 - 134*T1^10*T2^14 + 218*T1^11*T2^14 - 134*T1^12*T2^14 + 
      60*T1^13*T2^14 + 60*T1^14*T2^14 - 70*T1^15*T2^14 + 24*T1^16*T2^14 - 
      10*T1^7*T2^15 + 40*T1^8*T2^15 - 70*T1^9*T2^15 + 60*T1^10*T2^15 - 
      30*T1^11*T2^15 - 30*T1^12*T2^15 + 60*T1^13*T2^15 - 70*T1^14*T2^15 + 
      40*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)/(T1^8*T2^8))}, 
 Knot[11, Alternating, 195] -> {(3 - 13*T + 21*T^2 - 13*T^3 + 3*T^4)/T^2, 
   -((9 - 41*T1 + 69*T1^2 - 41*T1^3 + 9*T1^4 - 41*T2 + 146*T1*T2 - 
      128*T1^2*T2 - 128*T1^3*T2 + 146*T1^4*T2 - 41*T1^5*T2 + 69*T2^2 - 
      128*T1*T2^2 - 255*T1^2*T2^2 + 831*T1^3*T2^2 - 255*T1^4*T2^2 - 
      128*T1^5*T2^2 + 69*T1^6*T2^2 - 41*T2^3 - 128*T1*T2^3 + 831*T1^2*T2^3 - 
      904*T1^3*T2^3 - 904*T1^4*T2^3 + 831*T1^5*T2^3 - 128*T1^6*T2^3 - 
      41*T1^7*T2^3 + 9*T2^4 + 146*T1*T2^4 - 255*T1^2*T2^4 - 904*T1^3*T2^4 + 
      2652*T1^4*T2^4 - 904*T1^5*T2^4 - 255*T1^6*T2^4 + 146*T1^7*T2^4 + 
      9*T1^8*T2^4 - 41*T1*T2^5 - 128*T1^2*T2^5 + 831*T1^3*T2^5 - 
      904*T1^4*T2^5 - 904*T1^5*T2^5 + 831*T1^6*T2^5 - 128*T1^7*T2^5 - 
      41*T1^8*T2^5 + 69*T1^2*T2^6 - 128*T1^3*T2^6 - 255*T1^4*T2^6 + 
      831*T1^5*T2^6 - 255*T1^6*T2^6 - 128*T1^7*T2^6 + 69*T1^8*T2^6 - 
      41*T1^3*T2^7 + 146*T1^4*T2^7 - 128*T1^5*T2^7 - 128*T1^6*T2^7 + 
      146*T1^7*T2^7 - 41*T1^8*T2^7 + 9*T1^4*T2^8 - 41*T1^5*T2^8 + 
      69*T1^6*T2^8 - 41*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4))}, 
 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), 
   (1 - 6*T1 + 17*T1^2 - 31*T1^3 + 37*T1^4 - 31*T1^5 + 17*T1^6 - 6*T1^7 + 
     T1^8 - 6*T2 + 30*T1*T2 - 66*T1^2*T2 + 84*T1^3*T2 - 36*T1^4*T2 - 
     36*T1^5*T2 + 84*T1^6*T2 - 66*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 
     17*T2^2 - 66*T1*T2^2 + 88*T1^2*T2^2 - 7*T1^3*T2^2 - 224*T1^4*T2^2 + 
     314*T1^5*T2^2 - 224*T1^6*T2^2 - 7*T1^7*T2^2 + 88*T1^8*T2^2 - 
     66*T1^9*T2^2 + 17*T1^10*T2^2 - 31*T2^3 + 84*T1*T2^3 - 7*T1^2*T2^3 - 
     232*T1^3*T2^3 + 545*T1^4*T2^3 - 228*T1^5*T2^3 - 228*T1^6*T2^3 + 
     545*T1^7*T2^3 - 232*T1^8*T2^3 - 7*T1^9*T2^3 + 84*T1^10*T2^3 - 
     31*T1^11*T2^3 + 37*T2^4 - 36*T1*T2^4 - 224*T1^2*T2^4 + 545*T1^3*T2^4 - 
     642*T1^4*T2^4 - 375*T1^5*T2^4 + 694*T1^6*T2^4 - 375*T1^7*T2^4 - 
     642*T1^8*T2^4 + 545*T1^9*T2^4 - 224*T1^10*T2^4 - 36*T1^11*T2^4 + 
     37*T1^12*T2^4 - 31*T2^5 - 36*T1*T2^5 + 314*T1^2*T2^5 - 228*T1^3*T2^5 - 
     375*T1^4*T2^5 + 1766*T1^5*T2^5 - 714*T1^6*T2^5 - 714*T1^7*T2^5 + 
     1766*T1^8*T2^5 - 375*T1^9*T2^5 - 228*T1^10*T2^5 + 314*T1^11*T2^5 - 
     36*T1^12*T2^5 - 31*T1^13*T2^5 + 17*T2^6 + 84*T1*T2^6 - 224*T1^2*T2^6 - 
     228*T1^3*T2^6 + 694*T1^4*T2^6 - 714*T1^5*T2^6 - 2468*T1^6*T2^6 + 
     3480*T1^7*T2^6 - 2468*T1^8*T2^6 - 714*T1^9*T2^6 + 694*T1^10*T2^6 - 
     228*T1^11*T2^6 - 224*T1^12*T2^6 + 84*T1^13*T2^6 + 17*T1^14*T2^6 - 
     6*T2^7 - 66*T1*T2^7 - 7*T1^2*T2^7 + 545*T1^3*T2^7 - 375*T1^4*T2^7 - 
     714*T1^5*T2^7 + 3480*T1^6*T2^7 - 1436*T1^7*T2^7 - 1436*T1^8*T2^7 + 
     3480*T1^9*T2^7 - 714*T1^10*T2^7 - 375*T1^11*T2^7 + 545*T1^12*T2^7 - 
     7*T1^13*T2^7 - 66*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 
     88*T1^2*T2^8 - 232*T1^3*T2^8 - 642*T1^4*T2^8 + 1766*T1^5*T2^8 - 
     2468*T1^6*T2^8 - 1436*T1^7*T2^8 + 2700*T1^8*T2^8 - 1436*T1^9*T2^8 - 
     2468*T1^10*T2^8 + 1766*T1^11*T2^8 - 642*T1^12*T2^8 - 232*T1^13*T2^8 + 
     88*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 66*T1^2*T2^9 - 
     7*T1^3*T2^9 + 545*T1^4*T2^9 - 375*T1^5*T2^9 - 714*T1^6*T2^9 + 
     3480*T1^7*T2^9 - 1436*T1^8*T2^9 - 1436*T1^9*T2^9 + 3480*T1^10*T2^9 - 
     714*T1^11*T2^9 - 375*T1^12*T2^9 + 545*T1^13*T2^9 - 7*T1^14*T2^9 - 
     66*T1^15*T2^9 - 6*T1^16*T2^9 + 17*T1^2*T2^10 + 84*T1^3*T2^10 - 
     224*T1^4*T2^10 - 228*T1^5*T2^10 + 694*T1^6*T2^10 - 714*T1^7*T2^10 - 
     2468*T1^8*T2^10 + 3480*T1^9*T2^10 - 2468*T1^10*T2^10 - 714*T1^11*T2^10 + 
     694*T1^12*T2^10 - 228*T1^13*T2^10 - 224*T1^14*T2^10 + 84*T1^15*T2^10 + 
     17*T1^16*T2^10 - 31*T1^3*T2^11 - 36*T1^4*T2^11 + 314*T1^5*T2^11 - 
     228*T1^6*T2^11 - 375*T1^7*T2^11 + 1766*T1^8*T2^11 - 714*T1^9*T2^11 - 
     714*T1^10*T2^11 + 1766*T1^11*T2^11 - 375*T1^12*T2^11 - 228*T1^13*T2^11 + 
     314*T1^14*T2^11 - 36*T1^15*T2^11 - 31*T1^16*T2^11 + 37*T1^4*T2^12 - 
     36*T1^5*T2^12 - 224*T1^6*T2^12 + 545*T1^7*T2^12 - 642*T1^8*T2^12 - 
     375*T1^9*T2^12 + 694*T1^10*T2^12 - 375*T1^11*T2^12 - 642*T1^12*T2^12 + 
     545*T1^13*T2^12 - 224*T1^14*T2^12 - 36*T1^15*T2^12 + 37*T1^16*T2^12 - 
     31*T1^5*T2^13 + 84*T1^6*T2^13 - 7*T1^7*T2^13 - 232*T1^8*T2^13 + 
     545*T1^9*T2^13 - 228*T1^10*T2^13 - 228*T1^11*T2^13 + 545*T1^12*T2^13 - 
     232*T1^13*T2^13 - 7*T1^14*T2^13 + 84*T1^15*T2^13 - 31*T1^16*T2^13 + 
     17*T1^6*T2^14 - 66*T1^7*T2^14 + 88*T1^8*T2^14 - 7*T1^9*T2^14 - 
     224*T1^10*T2^14 + 314*T1^11*T2^14 - 224*T1^12*T2^14 - 7*T1^13*T2^14 + 
     88*T1^14*T2^14 - 66*T1^15*T2^14 + 17*T1^16*T2^14 - 6*T1^7*T2^15 + 
     30*T1^8*T2^15 - 66*T1^9*T2^15 + 84*T1^10*T2^15 - 36*T1^11*T2^15 - 
     36*T1^12*T2^15 + 84*T1^13*T2^15 - 66*T1^14*T2^15 + 30*T1^15*T2^15 - 
     6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 17*T1^10*T2^16 - 
     31*T1^11*T2^16 + 37*T1^12*T2^16 - 31*T1^13*T2^16 + 17*T1^14*T2^16 - 
     6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 197] -> 
  {((3 - 5*T + 3*T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3, 
   (30 - 139*T1 + 330*T1^2 - 430*T1^3 + 330*T1^4 - 139*T1^5 + 30*T1^6 - 
     139*T2 + 506*T1*T2 - 886*T1^2*T2 + 464*T1^3*T2 + 464*T1^4*T2 - 
     886*T1^5*T2 + 506*T1^6*T2 - 139*T1^7*T2 + 330*T2^2 - 886*T1*T2^2 + 
     954*T1^2*T2^2 + 902*T1^3*T2^2 - 2092*T1^4*T2^2 + 902*T1^5*T2^2 + 
     954*T1^6*T2^2 - 886*T1^7*T2^2 + 330*T1^8*T2^2 - 430*T2^3 + 464*T1*T2^3 + 
     902*T1^2*T2^3 - 4178*T1^3*T2^3 + 2495*T1^4*T2^3 + 2495*T1^5*T2^3 - 
     4178*T1^6*T2^3 + 902*T1^7*T2^3 + 464*T1^8*T2^3 - 430*T1^9*T2^3 + 
     330*T2^4 + 464*T1*T2^4 - 2092*T1^2*T2^4 + 2495*T1^3*T2^4 + 
     6174*T1^4*T2^4 - 11658*T1^5*T2^4 + 6174*T1^6*T2^4 + 2495*T1^7*T2^4 - 
     2092*T1^8*T2^4 + 464*T1^9*T2^4 + 330*T1^10*T2^4 - 139*T2^5 - 
     886*T1*T2^5 + 902*T1^2*T2^5 + 2495*T1^3*T2^5 - 11658*T1^4*T2^5 + 
     6942*T1^5*T2^5 + 6942*T1^6*T2^5 - 11658*T1^7*T2^5 + 2495*T1^8*T2^5 + 
     902*T1^9*T2^5 - 886*T1^10*T2^5 - 139*T1^11*T2^5 + 30*T2^6 + 
     506*T1*T2^6 + 954*T1^2*T2^6 - 4178*T1^3*T2^6 + 6174*T1^4*T2^6 + 
     6942*T1^5*T2^6 - 15480*T1^6*T2^6 + 6942*T1^7*T2^6 + 6174*T1^8*T2^6 - 
     4178*T1^9*T2^6 + 954*T1^10*T2^6 + 506*T1^11*T2^6 + 30*T1^12*T2^6 - 
     139*T1*T2^7 - 886*T1^2*T2^7 + 902*T1^3*T2^7 + 2495*T1^4*T2^7 - 
     11658*T1^5*T2^7 + 6942*T1^6*T2^7 + 6942*T1^7*T2^7 - 11658*T1^8*T2^7 + 
     2495*T1^9*T2^7 + 902*T1^10*T2^7 - 886*T1^11*T2^7 - 139*T1^12*T2^7 + 
     330*T1^2*T2^8 + 464*T1^3*T2^8 - 2092*T1^4*T2^8 + 2495*T1^5*T2^8 + 
     6174*T1^6*T2^8 - 11658*T1^7*T2^8 + 6174*T1^8*T2^8 + 2495*T1^9*T2^8 - 
     2092*T1^10*T2^8 + 464*T1^11*T2^8 + 330*T1^12*T2^8 - 430*T1^3*T2^9 + 
     464*T1^4*T2^9 + 902*T1^5*T2^9 - 4178*T1^6*T2^9 + 2495*T1^7*T2^9 + 
     2495*T1^8*T2^9 - 4178*T1^9*T2^9 + 902*T1^10*T2^9 + 464*T1^11*T2^9 - 
     430*T1^12*T2^9 + 330*T1^4*T2^10 - 886*T1^5*T2^10 + 954*T1^6*T2^10 + 
     902*T1^7*T2^10 - 2092*T1^8*T2^10 + 902*T1^9*T2^10 + 954*T1^10*T2^10 - 
     886*T1^11*T2^10 + 330*T1^12*T2^10 - 139*T1^5*T2^11 + 506*T1^6*T2^11 - 
     886*T1^7*T2^11 + 464*T1^8*T2^11 + 464*T1^9*T2^11 - 886*T1^10*T2^11 + 
     506*T1^11*T2^11 - 139*T1^12*T2^11 + 30*T1^6*T2^12 - 139*T1^7*T2^12 + 
     330*T1^8*T2^12 - 430*T1^9*T2^12 + 330*T1^10*T2^12 - 139*T1^11*T2^12 + 
     30*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, Alternating, 198] -> 
  {(2 - 11*T + 27*T^2 - 35*T^3 + 27*T^4 - 11*T^5 + 2*T^6)/T^3, 
   (7 - 39*T1 + 95*T1^2 - 123*T1^3 + 95*T1^4 - 39*T1^5 + 7*T1^6 - 39*T2 + 
     178*T1*T2 - 312*T1^2*T2 + 156*T1^3*T2 + 156*T1^4*T2 - 312*T1^5*T2 + 
     178*T1^6*T2 - 39*T1^7*T2 + 95*T2^2 - 312*T1*T2^2 + 176*T1^2*T2^2 + 
     748*T1^3*T2^2 - 1248*T1^4*T2^2 + 748*T1^5*T2^2 + 176*T1^6*T2^2 - 
     312*T1^7*T2^2 + 95*T1^8*T2^2 - 123*T2^3 + 156*T1*T2^3 + 748*T1^2*T2^3 - 
     2188*T1^3*T2^3 + 1168*T1^4*T2^3 + 1168*T1^5*T2^3 - 2188*T1^6*T2^3 + 
     748*T1^7*T2^3 + 156*T1^8*T2^3 - 123*T1^9*T2^3 + 95*T2^4 + 156*T1*T2^4 - 
     1248*T1^2*T2^4 + 1168*T1^3*T2^4 + 2833*T1^4*T2^4 - 5079*T1^5*T2^4 + 
     2833*T1^6*T2^4 + 1168*T1^7*T2^4 - 1248*T1^8*T2^4 + 156*T1^9*T2^4 + 
     95*T1^10*T2^4 - 39*T2^5 - 312*T1*T2^5 + 748*T1^2*T2^5 + 1168*T1^3*T2^5 - 
     5079*T1^4*T2^5 + 2850*T1^5*T2^5 + 2850*T1^6*T2^5 - 5079*T1^7*T2^5 + 
     1168*T1^8*T2^5 + 748*T1^9*T2^5 - 312*T1^10*T2^5 - 39*T1^11*T2^5 + 
     7*T2^6 + 178*T1*T2^6 + 176*T1^2*T2^6 - 2188*T1^3*T2^6 + 2833*T1^4*T2^6 + 
     2850*T1^5*T2^6 - 6228*T1^6*T2^6 + 2850*T1^7*T2^6 + 2833*T1^8*T2^6 - 
     2188*T1^9*T2^6 + 176*T1^10*T2^6 + 178*T1^11*T2^6 + 7*T1^12*T2^6 - 
     39*T1*T2^7 - 312*T1^2*T2^7 + 748*T1^3*T2^7 + 1168*T1^4*T2^7 - 
     5079*T1^5*T2^7 + 2850*T1^6*T2^7 + 2850*T1^7*T2^7 - 5079*T1^8*T2^7 + 
     1168*T1^9*T2^7 + 748*T1^10*T2^7 - 312*T1^11*T2^7 - 39*T1^12*T2^7 + 
     95*T1^2*T2^8 + 156*T1^3*T2^8 - 1248*T1^4*T2^8 + 1168*T1^5*T2^8 + 
     2833*T1^6*T2^8 - 5079*T1^7*T2^8 + 2833*T1^8*T2^8 + 1168*T1^9*T2^8 - 
     1248*T1^10*T2^8 + 156*T1^11*T2^8 + 95*T1^12*T2^8 - 123*T1^3*T2^9 + 
     156*T1^4*T2^9 + 748*T1^5*T2^9 - 2188*T1^6*T2^9 + 1168*T1^7*T2^9 + 
     1168*T1^8*T2^9 - 2188*T1^9*T2^9 + 748*T1^10*T2^9 + 156*T1^11*T2^9 - 
     123*T1^12*T2^9 + 95*T1^4*T2^10 - 312*T1^5*T2^10 + 176*T1^6*T2^10 + 
     748*T1^7*T2^10 - 1248*T1^8*T2^10 + 748*T1^9*T2^10 + 176*T1^10*T2^10 - 
     312*T1^11*T2^10 + 95*T1^12*T2^10 - 39*T1^5*T2^11 + 178*T1^6*T2^11 - 
     312*T1^7*T2^11 + 156*T1^8*T2^11 + 156*T1^9*T2^11 - 312*T1^10*T2^11 + 
     178*T1^11*T2^11 - 39*T1^12*T2^11 + 7*T1^6*T2^12 - 39*T1^7*T2^12 + 
     95*T1^8*T2^12 - 123*T1^9*T2^12 + 95*T1^10*T2^12 - 39*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, Alternating, 199] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^3, 
   -((7 - 39*T1 + 81*T1^2 - 95*T1^3 + 81*T1^4 - 39*T1^5 + 7*T1^6 - 39*T2 + 
      178*T1*T2 - 234*T1^2*T2 + 78*T1^3*T2 + 78*T1^4*T2 - 234*T1^5*T2 + 
      178*T1^6*T2 - 39*T1^7*T2 + 81*T2^2 - 234*T1*T2^2 - 190*T1^2*T2^2 + 
      980*T1^3*T2^2 - 1112*T1^4*T2^2 + 980*T1^5*T2^2 - 190*T1^6*T2^2 - 
      234*T1^7*T2^2 + 81*T1^8*T2^2 - 95*T2^3 + 78*T1*T2^3 + 980*T1^2*T2^3 - 
      1652*T1^3*T2^3 + 476*T1^4*T2^3 + 476*T1^5*T2^3 - 1652*T1^6*T2^3 + 
      980*T1^7*T2^3 + 78*T1^8*T2^3 - 95*T1^9*T2^3 + 81*T2^4 + 78*T1*T2^4 - 
      1112*T1^2*T2^4 + 476*T1^3*T2^4 + 2157*T1^4*T2^4 - 2651*T1^5*T2^4 + 
      2157*T1^6*T2^4 + 476*T1^7*T2^4 - 1112*T1^8*T2^4 + 78*T1^9*T2^4 + 
      81*T1^10*T2^4 - 39*T2^5 - 234*T1*T2^5 + 980*T1^2*T2^5 + 476*T1^3*T2^5 - 
      2651*T1^4*T2^5 + 1038*T1^5*T2^5 + 1038*T1^6*T2^5 - 2651*T1^7*T2^5 + 
      476*T1^8*T2^5 + 980*T1^9*T2^5 - 234*T1^10*T2^5 - 39*T1^11*T2^5 + 
      7*T2^6 + 178*T1*T2^6 - 190*T1^2*T2^6 - 1652*T1^3*T2^6 + 
      2157*T1^4*T2^6 + 1038*T1^5*T2^6 - 2184*T1^6*T2^6 + 1038*T1^7*T2^6 + 
      2157*T1^8*T2^6 - 1652*T1^9*T2^6 - 190*T1^10*T2^6 + 178*T1^11*T2^6 + 
      7*T1^12*T2^6 - 39*T1*T2^7 - 234*T1^2*T2^7 + 980*T1^3*T2^7 + 
      476*T1^4*T2^7 - 2651*T1^5*T2^7 + 1038*T1^6*T2^7 + 1038*T1^7*T2^7 - 
      2651*T1^8*T2^7 + 476*T1^9*T2^7 + 980*T1^10*T2^7 - 234*T1^11*T2^7 - 
      39*T1^12*T2^7 + 81*T1^2*T2^8 + 78*T1^3*T2^8 - 1112*T1^4*T2^8 + 
      476*T1^5*T2^8 + 2157*T1^6*T2^8 - 2651*T1^7*T2^8 + 2157*T1^8*T2^8 + 
      476*T1^9*T2^8 - 1112*T1^10*T2^8 + 78*T1^11*T2^8 + 81*T1^12*T2^8 - 
      95*T1^3*T2^9 + 78*T1^4*T2^9 + 980*T1^5*T2^9 - 1652*T1^6*T2^9 + 
      476*T1^7*T2^9 + 476*T1^8*T2^9 - 1652*T1^9*T2^9 + 980*T1^10*T2^9 + 
      78*T1^11*T2^9 - 95*T1^12*T2^9 + 81*T1^4*T2^10 - 234*T1^5*T2^10 - 
      190*T1^6*T2^10 + 980*T1^7*T2^10 - 1112*T1^8*T2^10 + 980*T1^9*T2^10 - 
      190*T1^10*T2^10 - 234*T1^11*T2^10 + 81*T1^12*T2^10 - 39*T1^5*T2^11 + 
      178*T1^6*T2^11 - 234*T1^7*T2^11 + 78*T1^8*T2^11 + 78*T1^9*T2^11 - 
      234*T1^10*T2^11 + 178*T1^11*T2^11 - 39*T1^12*T2^11 + 7*T1^6*T2^12 - 
      39*T1^7*T2^12 + 81*T1^8*T2^12 - 95*T1^9*T2^12 + 81*T1^10*T2^12 - 
      39*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, Alternating, 200] -> {(7 - 21*T + 29*T^2 - 21*T^3 + 7*T^4)/T^2, 
   (847 - 2471*T1 + 3387*T1^2 - 2471*T1^3 + 847*T1^4 - 2471*T2 + 4774*T1*T2 - 
     2700*T1^2*T2 - 2700*T1^3*T2 + 4774*T1^4*T2 - 2471*T1^5*T2 + 3387*T2^2 - 
     2700*T1*T2^2 - 4391*T1^2*T2^2 + 9597*T1^3*T2^2 - 4391*T1^4*T2^2 - 
     2700*T1^5*T2^2 + 3387*T1^6*T2^2 - 2471*T2^3 - 2700*T1*T2^3 + 
     9597*T1^2*T2^3 - 6324*T1^3*T2^3 - 6324*T1^4*T2^3 + 9597*T1^5*T2^3 - 
     2700*T1^6*T2^3 - 2471*T1^7*T2^3 + 847*T2^4 + 4774*T1*T2^4 - 
     4391*T1^2*T2^4 - 6324*T1^3*T2^4 + 14712*T1^4*T2^4 - 6324*T1^5*T2^4 - 
     4391*T1^6*T2^4 + 4774*T1^7*T2^4 + 847*T1^8*T2^4 - 2471*T1*T2^5 - 
     2700*T1^2*T2^5 + 9597*T1^3*T2^5 - 6324*T1^4*T2^5 - 6324*T1^5*T2^5 + 
     9597*T1^6*T2^5 - 2700*T1^7*T2^5 - 2471*T1^8*T2^5 + 3387*T1^2*T2^6 - 
     2700*T1^3*T2^6 - 4391*T1^4*T2^6 + 9597*T1^5*T2^6 - 4391*T1^6*T2^6 - 
     2700*T1^7*T2^6 + 3387*T1^8*T2^6 - 2471*T1^3*T2^7 + 4774*T1^4*T2^7 - 
     2700*T1^5*T2^7 - 2700*T1^6*T2^7 + 4774*T1^7*T2^7 - 2471*T1^8*T2^7 + 
     847*T1^4*T2^8 - 2471*T1^5*T2^8 + 3387*T1^6*T2^8 - 2471*T1^7*T2^8 + 
     847*T1^8*T2^8)/(T1^4*T2^4)}, Knot[11, Alternating, 201] -> 
  {((-2 + T)^2*(-1 + 2*T)^2)/T^2, 
   (4*(2*T1 - 4*T1^2 + 2*T1^3 + 2*T2 - 18*T1*T2 + 17*T1^2*T2 + 17*T1^3*T2 - 
      18*T1^4*T2 + 2*T1^5*T2 - 4*T2^2 + 17*T1*T2^2 + 85*T1^2*T2^2 - 
      213*T1^3*T2^2 + 85*T1^4*T2^2 + 17*T1^5*T2^2 - 4*T1^6*T2^2 + 2*T2^3 + 
      17*T1*T2^3 - 213*T1^2*T2^3 + 220*T1^3*T2^3 + 220*T1^4*T2^3 - 
      213*T1^5*T2^3 + 17*T1^6*T2^3 + 2*T1^7*T2^3 - 18*T1*T2^4 + 
      85*T1^2*T2^4 + 220*T1^3*T2^4 - 648*T1^4*T2^4 + 220*T1^5*T2^4 + 
      85*T1^6*T2^4 - 18*T1^7*T2^4 + 2*T1*T2^5 + 17*T1^2*T2^5 - 
      213*T1^3*T2^5 + 220*T1^4*T2^5 + 220*T1^5*T2^5 - 213*T1^6*T2^5 + 
      17*T1^7*T2^5 + 2*T1^8*T2^5 - 4*T1^2*T2^6 + 17*T1^3*T2^6 + 
      85*T1^4*T2^6 - 213*T1^5*T2^6 + 85*T1^6*T2^6 + 17*T1^7*T2^6 - 
      4*T1^8*T2^6 + 2*T1^3*T2^7 - 18*T1^4*T2^7 + 17*T1^5*T2^7 + 
      17*T1^6*T2^7 - 18*T1^7*T2^7 + 2*T1^8*T2^7 + 2*T1^5*T2^8 - 4*T1^6*T2^8 + 
      2*T1^7*T2^8))/(T1^4*T2^4)}, Knot[11, Alternating, 202] -> 
  {(2 - 12*T + 26*T^2 - 31*T^3 + 26*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (9 - 53*T1 + 113*T1^2 - 133*T1^3 + 113*T1^4 - 53*T1^5 + 9*T1^6 - 53*T2 + 
     260*T1*T2 - 356*T1^2*T2 + 120*T1^3*T2 + 120*T1^4*T2 - 356*T1^5*T2 + 
     260*T1^6*T2 - 53*T1^7*T2 + 113*T2^2 - 356*T1*T2^2 - 312*T1^2*T2^2 + 
     1636*T1^3*T2^2 - 1878*T1^4*T2^2 + 1636*T1^5*T2^2 - 312*T1^6*T2^2 - 
     356*T1^7*T2^2 + 113*T1^8*T2^2 - 133*T2^3 + 120*T1*T2^3 + 
     1636*T1^2*T2^3 - 2830*T1^3*T2^3 + 812*T1^4*T2^3 + 812*T1^5*T2^3 - 
     2830*T1^6*T2^3 + 1636*T1^7*T2^3 + 120*T1^8*T2^3 - 133*T1^9*T2^3 + 
     113*T2^4 + 120*T1*T2^4 - 1878*T1^2*T2^4 + 812*T1^3*T2^4 + 
     3659*T1^4*T2^4 - 4203*T1^5*T2^4 + 3659*T1^6*T2^4 + 812*T1^7*T2^4 - 
     1878*T1^8*T2^4 + 120*T1^9*T2^4 + 113*T1^10*T2^4 - 53*T2^5 - 
     356*T1*T2^5 + 1636*T1^2*T2^5 + 812*T1^3*T2^5 - 4203*T1^4*T2^5 + 
     1182*T1^5*T2^5 + 1182*T1^6*T2^5 - 4203*T1^7*T2^5 + 812*T1^8*T2^5 + 
     1636*T1^9*T2^5 - 356*T1^10*T2^5 - 53*T1^11*T2^5 + 9*T2^6 + 260*T1*T2^6 - 
     312*T1^2*T2^6 - 2830*T1^3*T2^6 + 3659*T1^4*T2^6 + 1182*T1^5*T2^6 - 
     1788*T1^6*T2^6 + 1182*T1^7*T2^6 + 3659*T1^8*T2^6 - 2830*T1^9*T2^6 - 
     312*T1^10*T2^6 + 260*T1^11*T2^6 + 9*T1^12*T2^6 - 53*T1*T2^7 - 
     356*T1^2*T2^7 + 1636*T1^3*T2^7 + 812*T1^4*T2^7 - 4203*T1^5*T2^7 + 
     1182*T1^6*T2^7 + 1182*T1^7*T2^7 - 4203*T1^8*T2^7 + 812*T1^9*T2^7 + 
     1636*T1^10*T2^7 - 356*T1^11*T2^7 - 53*T1^12*T2^7 + 113*T1^2*T2^8 + 
     120*T1^3*T2^8 - 1878*T1^4*T2^8 + 812*T1^5*T2^8 + 3659*T1^6*T2^8 - 
     4203*T1^7*T2^8 + 3659*T1^8*T2^8 + 812*T1^9*T2^8 - 1878*T1^10*T2^8 + 
     120*T1^11*T2^8 + 113*T1^12*T2^8 - 133*T1^3*T2^9 + 120*T1^4*T2^9 + 
     1636*T1^5*T2^9 - 2830*T1^6*T2^9 + 812*T1^7*T2^9 + 812*T1^8*T2^9 - 
     2830*T1^9*T2^9 + 1636*T1^10*T2^9 + 120*T1^11*T2^9 - 133*T1^12*T2^9 + 
     113*T1^4*T2^10 - 356*T1^5*T2^10 - 312*T1^6*T2^10 + 1636*T1^7*T2^10 - 
     1878*T1^8*T2^10 + 1636*T1^9*T2^10 - 312*T1^10*T2^10 - 356*T1^11*T2^10 + 
     113*T1^12*T2^10 - 53*T1^5*T2^11 + 260*T1^6*T2^11 - 356*T1^7*T2^11 + 
     120*T1^8*T2^11 + 120*T1^9*T2^11 - 356*T1^10*T2^11 + 260*T1^11*T2^11 - 
     53*T1^12*T2^11 + 9*T1^6*T2^12 - 53*T1^7*T2^12 + 113*T1^8*T2^12 - 
     133*T1^9*T2^12 + 113*T1^10*T2^12 - 53*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, 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), 
   -((3 - 15*T1 + 27*T1^2 - 33*T1^3 + 33*T1^4 - 33*T1^5 + 27*T1^6 - 15*T1^7 + 
      3*T1^8 - 15*T2 + 60*T1*T2 - 60*T1^2*T2 + 30*T1^3*T2 + 30*T1^6*T2 - 
      60*T1^7*T2 + 60*T1^8*T2 - 15*T1^9*T2 + 27*T2^2 - 60*T1*T2^2 - 
      100*T1^2*T2^2 + 236*T1^3*T2^2 - 278*T1^4*T2^2 + 226*T1^5*T2^2 - 
      278*T1^6*T2^2 + 236*T1^7*T2^2 - 100*T1^8*T2^2 - 60*T1^9*T2^2 + 
      27*T1^10*T2^2 - 33*T2^3 + 30*T1*T2^3 + 236*T1^2*T2^3 - 220*T1^3*T2^3 + 
      84*T1^4*T2^3 + 56*T1^5*T2^3 + 56*T1^6*T2^3 + 84*T1^7*T2^3 - 
      220*T1^8*T2^3 + 236*T1^9*T2^3 + 30*T1^10*T2^3 - 33*T1^11*T2^3 + 
      33*T2^4 - 278*T1^2*T2^4 + 84*T1^3*T2^4 - 3*T1^4*T2^4 + 5*T1^5*T2^4 - 
      229*T1^6*T2^4 + 5*T1^7*T2^4 - 3*T1^8*T2^4 + 84*T1^9*T2^4 - 
      278*T1^10*T2^4 + 33*T1^12*T2^4 - 33*T2^5 + 226*T1^2*T2^5 + 
      56*T1^3*T2^5 + 5*T1^4*T2^5 - 12*T1^5*T2^5 + 152*T1^6*T2^5 + 
      152*T1^7*T2^5 - 12*T1^8*T2^5 + 5*T1^9*T2^5 + 56*T1^10*T2^5 + 
      226*T1^11*T2^5 - 33*T1^13*T2^5 + 27*T2^6 + 30*T1*T2^6 - 278*T1^2*T2^6 + 
      56*T1^3*T2^6 - 229*T1^4*T2^6 + 152*T1^5*T2^6 - 265*T1^6*T2^6 + 
      33*T1^7*T2^6 - 265*T1^8*T2^6 + 152*T1^9*T2^6 - 229*T1^10*T2^6 + 
      56*T1^11*T2^6 - 278*T1^12*T2^6 + 30*T1^13*T2^6 + 27*T1^14*T2^6 - 
      15*T2^7 - 60*T1*T2^7 + 236*T1^2*T2^7 + 84*T1^3*T2^7 + 5*T1^4*T2^7 + 
      152*T1^5*T2^7 + 33*T1^6*T2^7 + 116*T1^7*T2^7 + 116*T1^8*T2^7 + 
      33*T1^9*T2^7 + 152*T1^10*T2^7 + 5*T1^11*T2^7 + 84*T1^12*T2^7 + 
      236*T1^13*T2^7 - 60*T1^14*T2^7 - 15*T1^15*T2^7 + 3*T2^8 + 60*T1*T2^8 - 
      100*T1^2*T2^8 - 220*T1^3*T2^8 - 3*T1^4*T2^8 - 12*T1^5*T2^8 - 
      265*T1^6*T2^8 + 116*T1^7*T2^8 - 300*T1^8*T2^8 + 116*T1^9*T2^8 - 
      265*T1^10*T2^8 - 12*T1^11*T2^8 - 3*T1^12*T2^8 - 220*T1^13*T2^8 - 
      100*T1^14*T2^8 + 60*T1^15*T2^8 + 3*T1^16*T2^8 - 15*T1*T2^9 - 
      60*T1^2*T2^9 + 236*T1^3*T2^9 + 84*T1^4*T2^9 + 5*T1^5*T2^9 + 
      152*T1^6*T2^9 + 33*T1^7*T2^9 + 116*T1^8*T2^9 + 116*T1^9*T2^9 + 
      33*T1^10*T2^9 + 152*T1^11*T2^9 + 5*T1^12*T2^9 + 84*T1^13*T2^9 + 
      236*T1^14*T2^9 - 60*T1^15*T2^9 - 15*T1^16*T2^9 + 27*T1^2*T2^10 + 
      30*T1^3*T2^10 - 278*T1^4*T2^10 + 56*T1^5*T2^10 - 229*T1^6*T2^10 + 
      152*T1^7*T2^10 - 265*T1^8*T2^10 + 33*T1^9*T2^10 - 265*T1^10*T2^10 + 
      152*T1^11*T2^10 - 229*T1^12*T2^10 + 56*T1^13*T2^10 - 278*T1^14*T2^10 + 
      30*T1^15*T2^10 + 27*T1^16*T2^10 - 33*T1^3*T2^11 + 226*T1^5*T2^11 + 
      56*T1^6*T2^11 + 5*T1^7*T2^11 - 12*T1^8*T2^11 + 152*T1^9*T2^11 + 
      152*T1^10*T2^11 - 12*T1^11*T2^11 + 5*T1^12*T2^11 + 56*T1^13*T2^11 + 
      226*T1^14*T2^11 - 33*T1^16*T2^11 + 33*T1^4*T2^12 - 278*T1^6*T2^12 + 
      84*T1^7*T2^12 - 3*T1^8*T2^12 + 5*T1^9*T2^12 - 229*T1^10*T2^12 + 
      5*T1^11*T2^12 - 3*T1^12*T2^12 + 84*T1^13*T2^12 - 278*T1^14*T2^12 + 
      33*T1^16*T2^12 - 33*T1^5*T2^13 + 30*T1^6*T2^13 + 236*T1^7*T2^13 - 
      220*T1^8*T2^13 + 84*T1^9*T2^13 + 56*T1^10*T2^13 + 56*T1^11*T2^13 + 
      84*T1^12*T2^13 - 220*T1^13*T2^13 + 236*T1^14*T2^13 + 30*T1^15*T2^13 - 
      33*T1^16*T2^13 + 27*T1^6*T2^14 - 60*T1^7*T2^14 - 100*T1^8*T2^14 + 
      236*T1^9*T2^14 - 278*T1^10*T2^14 + 226*T1^11*T2^14 - 278*T1^12*T2^14 + 
      236*T1^13*T2^14 - 100*T1^14*T2^14 - 60*T1^15*T2^14 + 27*T1^16*T2^14 - 
      15*T1^7*T2^15 + 60*T1^8*T2^15 - 60*T1^9*T2^15 + 30*T1^10*T2^15 + 
      30*T1^13*T2^15 - 60*T1^14*T2^15 + 60*T1^15*T2^15 - 15*T1^16*T2^15 + 
      3*T1^8*T2^16 - 15*T1^9*T2^16 + 27*T1^10*T2^16 - 33*T1^11*T2^16 + 
      33*T1^12*T2^16 - 33*T1^13*T2^16 + 27*T1^14*T2^16 - 15*T1^15*T2^16 + 
      3*T1^16*T2^16)/(T1^8*T2^8))}, Knot[11, Alternating, 204] -> 
  {-((2 - 11*T + 23*T^2 - 29*T^3 + 23*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((17 - 93*T1 + 193*T1^2 - 243*T1^3 + 193*T1^4 - 93*T1^5 + 17*T1^6 - 
      93*T2 + 416*T1*T2 - 548*T1^2*T2 + 274*T1^3*T2 + 274*T1^4*T2 - 
      548*T1^5*T2 + 416*T1^6*T2 - 93*T1^7*T2 + 193*T2^2 - 548*T1*T2^2 - 
      357*T1^2*T2^2 + 1883*T1^3*T2^2 - 2791*T1^4*T2^2 + 1883*T1^5*T2^2 - 
      357*T1^6*T2^2 - 548*T1^7*T2^2 + 193*T1^8*T2^2 - 243*T2^3 + 
      274*T1*T2^3 + 1883*T1^2*T2^3 - 2972*T1^3*T2^3 + 1670*T1^4*T2^3 + 
      1670*T1^5*T2^3 - 2972*T1^6*T2^3 + 1883*T1^7*T2^3 + 274*T1^8*T2^3 - 
      243*T1^9*T2^3 + 193*T2^4 + 274*T1*T2^4 - 2791*T1^2*T2^4 + 
      1670*T1^3*T2^4 + 1424*T1^4*T2^4 - 3864*T1^5*T2^4 + 1424*T1^6*T2^4 + 
      1670*T1^7*T2^4 - 2791*T1^8*T2^4 + 274*T1^9*T2^4 + 193*T1^10*T2^4 - 
      93*T2^5 - 548*T1*T2^5 + 1883*T1^2*T2^5 + 1670*T1^3*T2^5 - 
      3864*T1^4*T2^5 + 2614*T1^5*T2^5 + 2614*T1^6*T2^5 - 3864*T1^7*T2^5 + 
      1670*T1^8*T2^5 + 1883*T1^9*T2^5 - 548*T1^10*T2^5 - 93*T1^11*T2^5 + 
      17*T2^6 + 416*T1*T2^6 - 357*T1^2*T2^6 - 2972*T1^3*T2^6 + 
      1424*T1^4*T2^6 + 2614*T1^5*T2^6 - 6012*T1^6*T2^6 + 2614*T1^7*T2^6 + 
      1424*T1^8*T2^6 - 2972*T1^9*T2^6 - 357*T1^10*T2^6 + 416*T1^11*T2^6 + 
      17*T1^12*T2^6 - 93*T1*T2^7 - 548*T1^2*T2^7 + 1883*T1^3*T2^7 + 
      1670*T1^4*T2^7 - 3864*T1^5*T2^7 + 2614*T1^6*T2^7 + 2614*T1^7*T2^7 - 
      3864*T1^8*T2^7 + 1670*T1^9*T2^7 + 1883*T1^10*T2^7 - 548*T1^11*T2^7 - 
      93*T1^12*T2^7 + 193*T1^2*T2^8 + 274*T1^3*T2^8 - 2791*T1^4*T2^8 + 
      1670*T1^5*T2^8 + 1424*T1^6*T2^8 - 3864*T1^7*T2^8 + 1424*T1^8*T2^8 + 
      1670*T1^9*T2^8 - 2791*T1^10*T2^8 + 274*T1^11*T2^8 + 193*T1^12*T2^8 - 
      243*T1^3*T2^9 + 274*T1^4*T2^9 + 1883*T1^5*T2^9 - 2972*T1^6*T2^9 + 
      1670*T1^7*T2^9 + 1670*T1^8*T2^9 - 2972*T1^9*T2^9 + 1883*T1^10*T2^9 + 
      274*T1^11*T2^9 - 243*T1^12*T2^9 + 193*T1^4*T2^10 - 548*T1^5*T2^10 - 
      357*T1^6*T2^10 + 1883*T1^7*T2^10 - 2791*T1^8*T2^10 + 1883*T1^9*T2^10 - 
      357*T1^10*T2^10 - 548*T1^11*T2^10 + 193*T1^12*T2^10 - 93*T1^5*T2^11 + 
      416*T1^6*T2^11 - 548*T1^7*T2^11 + 274*T1^8*T2^11 + 274*T1^9*T2^11 - 
      548*T1^10*T2^11 + 416*T1^11*T2^11 - 93*T1^12*T2^11 + 17*T1^6*T2^12 - 
      93*T1^7*T2^12 + 193*T1^8*T2^12 - 243*T1^9*T2^12 + 193*T1^10*T2^12 - 
      93*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, Alternating, 205] -> 
  {(2 - 10*T + 21*T^2 - 25*T^3 + 21*T^4 - 10*T^5 + 2*T^6)/T^3, 
   -((7 - 35*T1 + 73*T1^2 - 87*T1^3 + 73*T1^4 - 35*T1^5 + 7*T1^6 - 35*T2 + 
      140*T1*T2 - 190*T1^2*T2 + 70*T1^3*T2 + 70*T1^4*T2 - 190*T1^5*T2 + 
      140*T1^6*T2 - 35*T1^7*T2 + 73*T2^2 - 190*T1*T2^2 - 49*T1^2*T2^2 + 
      593*T1^3*T2^2 - 719*T1^4*T2^2 + 593*T1^5*T2^2 - 49*T1^6*T2^2 - 
      190*T1^7*T2^2 + 73*T1^8*T2^2 - 87*T2^3 + 70*T1*T2^3 + 593*T1^2*T2^3 - 
      1138*T1^3*T2^3 + 388*T1^4*T2^3 + 388*T1^5*T2^3 - 1138*T1^6*T2^3 + 
      593*T1^7*T2^3 + 70*T1^8*T2^3 - 87*T1^9*T2^3 + 73*T2^4 + 70*T1*T2^4 - 
      719*T1^2*T2^4 + 388*T1^3*T2^4 + 1491*T1^4*T2^4 - 2025*T1^5*T2^4 + 
      1491*T1^6*T2^4 + 388*T1^7*T2^4 - 719*T1^8*T2^4 + 70*T1^9*T2^4 + 
      73*T1^10*T2^4 - 35*T2^5 - 190*T1*T2^5 + 593*T1^2*T2^5 + 388*T1^3*T2^5 - 
      2025*T1^4*T2^5 + 912*T1^5*T2^5 + 912*T1^6*T2^5 - 2025*T1^7*T2^5 + 
      388*T1^8*T2^5 + 593*T1^9*T2^5 - 190*T1^10*T2^5 - 35*T1^11*T2^5 + 
      7*T2^6 + 140*T1*T2^6 - 49*T1^2*T2^6 - 1138*T1^3*T2^6 + 1491*T1^4*T2^6 + 
      912*T1^5*T2^6 - 1980*T1^6*T2^6 + 912*T1^7*T2^6 + 1491*T1^8*T2^6 - 
      1138*T1^9*T2^6 - 49*T1^10*T2^6 + 140*T1^11*T2^6 + 7*T1^12*T2^6 - 
      35*T1*T2^7 - 190*T1^2*T2^7 + 593*T1^3*T2^7 + 388*T1^4*T2^7 - 
      2025*T1^5*T2^7 + 912*T1^6*T2^7 + 912*T1^7*T2^7 - 2025*T1^8*T2^7 + 
      388*T1^9*T2^7 + 593*T1^10*T2^7 - 190*T1^11*T2^7 - 35*T1^12*T2^7 + 
      73*T1^2*T2^8 + 70*T1^3*T2^8 - 719*T1^4*T2^8 + 388*T1^5*T2^8 + 
      1491*T1^6*T2^8 - 2025*T1^7*T2^8 + 1491*T1^8*T2^8 + 388*T1^9*T2^8 - 
      719*T1^10*T2^8 + 70*T1^11*T2^8 + 73*T1^12*T2^8 - 87*T1^3*T2^9 + 
      70*T1^4*T2^9 + 593*T1^5*T2^9 - 1138*T1^6*T2^9 + 388*T1^7*T2^9 + 
      388*T1^8*T2^9 - 1138*T1^9*T2^9 + 593*T1^10*T2^9 + 70*T1^11*T2^9 - 
      87*T1^12*T2^9 + 73*T1^4*T2^10 - 190*T1^5*T2^10 - 49*T1^6*T2^10 + 
      593*T1^7*T2^10 - 719*T1^8*T2^10 + 593*T1^9*T2^10 - 49*T1^10*T2^10 - 
      190*T1^11*T2^10 + 73*T1^12*T2^10 - 35*T1^5*T2^11 + 140*T1^6*T2^11 - 
      190*T1^7*T2^11 + 70*T1^8*T2^11 + 70*T1^9*T2^11 - 190*T1^10*T2^11 + 
      140*T1^11*T2^11 - 35*T1^12*T2^11 + 7*T1^6*T2^12 - 35*T1^7*T2^12 + 
      73*T1^8*T2^12 - 87*T1^9*T2^12 + 73*T1^10*T2^12 - 35*T1^11*T2^12 + 
      7*T1^12*T2^12)/(T1^6*T2^6))}, 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), 
   (3 - 15*T1 + 21*T1^2 - 21*T1^3 + 21*T1^4 - 21*T1^5 + 21*T1^6 - 15*T1^7 + 
     3*T1^8 - 15*T2 + 60*T1*T2 - 30*T1^2*T2 - 30*T1^7*T2 + 60*T1^8*T2 - 
     15*T1^9*T2 + 21*T2^2 - 30*T1*T2^2 - 202*T1^2*T2^2 + 268*T1^3*T2^2 - 
     228*T1^4*T2^2 + 228*T1^5*T2^2 - 228*T1^6*T2^2 + 268*T1^7*T2^2 - 
     202*T1^8*T2^2 - 30*T1^9*T2^2 + 21*T1^10*T2^2 - 21*T2^3 + 268*T1^2*T2^3 - 
     98*T1^3*T2^3 - 32*T1^4*T2^3 - 32*T1^7*T2^3 - 98*T1^8*T2^3 + 
     268*T1^9*T2^3 - 21*T1^11*T2^3 + 21*T2^4 - 228*T1^2*T2^4 - 32*T1^3*T2^4 + 
     6*T1^4*T2^4 + 96*T1^5*T2^4 - 70*T1^6*T2^4 + 96*T1^7*T2^4 + 6*T1^8*T2^4 - 
     32*T1^9*T2^4 - 228*T1^10*T2^4 + 21*T1^12*T2^4 - 21*T2^5 + 
     228*T1^2*T2^5 + 96*T1^4*T2^5 - 70*T1^5*T2^5 - 18*T1^6*T2^5 - 
     18*T1^7*T2^5 - 70*T1^8*T2^5 + 96*T1^9*T2^5 + 228*T1^11*T2^5 - 
     21*T1^13*T2^5 + 21*T2^6 - 228*T1^2*T2^6 - 70*T1^4*T2^6 - 18*T1^5*T2^6 + 
     27*T1^6*T2^6 + 45*T1^7*T2^6 + 27*T1^8*T2^6 - 18*T1^9*T2^6 - 
     70*T1^10*T2^6 - 228*T1^12*T2^6 + 21*T1^14*T2^6 - 15*T2^7 - 30*T1*T2^7 + 
     268*T1^2*T2^7 - 32*T1^3*T2^7 + 96*T1^4*T2^7 - 18*T1^5*T2^7 + 
     45*T1^6*T2^7 - 50*T1^7*T2^7 - 50*T1^8*T2^7 + 45*T1^9*T2^7 - 
     18*T1^10*T2^7 + 96*T1^11*T2^7 - 32*T1^12*T2^7 + 268*T1^13*T2^7 - 
     30*T1^14*T2^7 - 15*T1^15*T2^7 + 3*T2^8 + 60*T1*T2^8 - 202*T1^2*T2^8 - 
     98*T1^3*T2^8 + 6*T1^4*T2^8 - 70*T1^5*T2^8 + 27*T1^6*T2^8 - 
     50*T1^7*T2^8 + 108*T1^8*T2^8 - 50*T1^9*T2^8 + 27*T1^10*T2^8 - 
     70*T1^11*T2^8 + 6*T1^12*T2^8 - 98*T1^13*T2^8 - 202*T1^14*T2^8 + 
     60*T1^15*T2^8 + 3*T1^16*T2^8 - 15*T1*T2^9 - 30*T1^2*T2^9 + 
     268*T1^3*T2^9 - 32*T1^4*T2^9 + 96*T1^5*T2^9 - 18*T1^6*T2^9 + 
     45*T1^7*T2^9 - 50*T1^8*T2^9 - 50*T1^9*T2^9 + 45*T1^10*T2^9 - 
     18*T1^11*T2^9 + 96*T1^12*T2^9 - 32*T1^13*T2^9 + 268*T1^14*T2^9 - 
     30*T1^15*T2^9 - 15*T1^16*T2^9 + 21*T1^2*T2^10 - 228*T1^4*T2^10 - 
     70*T1^6*T2^10 - 18*T1^7*T2^10 + 27*T1^8*T2^10 + 45*T1^9*T2^10 + 
     27*T1^10*T2^10 - 18*T1^11*T2^10 - 70*T1^12*T2^10 - 228*T1^14*T2^10 + 
     21*T1^16*T2^10 - 21*T1^3*T2^11 + 228*T1^5*T2^11 + 96*T1^7*T2^11 - 
     70*T1^8*T2^11 - 18*T1^9*T2^11 - 18*T1^10*T2^11 - 70*T1^11*T2^11 + 
     96*T1^12*T2^11 + 228*T1^14*T2^11 - 21*T1^16*T2^11 + 21*T1^4*T2^12 - 
     228*T1^6*T2^12 - 32*T1^7*T2^12 + 6*T1^8*T2^12 + 96*T1^9*T2^12 - 
     70*T1^10*T2^12 + 96*T1^11*T2^12 + 6*T1^12*T2^12 - 32*T1^13*T2^12 - 
     228*T1^14*T2^12 + 21*T1^16*T2^12 - 21*T1^5*T2^13 + 268*T1^7*T2^13 - 
     98*T1^8*T2^13 - 32*T1^9*T2^13 - 32*T1^12*T2^13 - 98*T1^13*T2^13 + 
     268*T1^14*T2^13 - 21*T1^16*T2^13 + 21*T1^6*T2^14 - 30*T1^7*T2^14 - 
     202*T1^8*T2^14 + 268*T1^9*T2^14 - 228*T1^10*T2^14 + 228*T1^11*T2^14 - 
     228*T1^12*T2^14 + 268*T1^13*T2^14 - 202*T1^14*T2^14 - 30*T1^15*T2^14 + 
     21*T1^16*T2^14 - 15*T1^7*T2^15 + 60*T1^8*T2^15 - 30*T1^9*T2^15 - 
     30*T1^14*T2^15 + 60*T1^15*T2^15 - 15*T1^16*T2^15 + 3*T1^8*T2^16 - 
     15*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 - 15*T1^15*T2^16 + 3*T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[11, Alternating, 207] -> 
  {-((2 - 11*T + 19*T^2 - 21*T^3 + 19*T^4 - 11*T^5 + 2*T^6)/T^3), 
   (17 - 93*T1 + 159*T1^2 - 175*T1^3 + 159*T1^4 - 93*T1^5 + 17*T1^6 - 93*T2 + 
     416*T1*T2 - 362*T1^2*T2 + 88*T1^3*T2 + 88*T1^4*T2 - 362*T1^5*T2 + 
     416*T1^6*T2 - 93*T1^7*T2 + 159*T2^2 - 362*T1*T2^2 - 1095*T1^2*T2^2 + 
     2197*T1^3*T2^2 - 2219*T1^4*T2^2 + 2197*T1^5*T2^2 - 1095*T1^6*T2^2 - 
     362*T1^7*T2^2 + 159*T1^8*T2^2 - 175*T2^3 + 88*T1*T2^3 + 2197*T1^2*T2^3 - 
     1858*T1^3*T2^3 + 250*T1^4*T2^3 + 250*T1^5*T2^3 - 1858*T1^6*T2^3 + 
     2197*T1^7*T2^3 + 88*T1^8*T2^3 - 175*T1^9*T2^3 + 159*T2^4 + 88*T1*T2^4 - 
     2219*T1^2*T2^4 + 250*T1^3*T2^4 + 1142*T1^4*T2^4 - 488*T1^5*T2^4 + 
     1142*T1^6*T2^4 + 250*T1^7*T2^4 - 2219*T1^8*T2^4 + 88*T1^9*T2^4 + 
     159*T1^10*T2^4 - 93*T2^5 - 362*T1*T2^5 + 2197*T1^2*T2^5 + 
     250*T1^3*T2^5 - 488*T1^4*T2^5 - 440*T1^5*T2^5 - 440*T1^6*T2^5 - 
     488*T1^7*T2^5 + 250*T1^8*T2^5 + 2197*T1^9*T2^5 - 362*T1^10*T2^5 - 
     93*T1^11*T2^5 + 17*T2^6 + 416*T1*T2^6 - 1095*T1^2*T2^6 - 
     1858*T1^3*T2^6 + 1142*T1^4*T2^6 - 440*T1^5*T2^6 + 1332*T1^6*T2^6 - 
     440*T1^7*T2^6 + 1142*T1^8*T2^6 - 1858*T1^9*T2^6 - 1095*T1^10*T2^6 + 
     416*T1^11*T2^6 + 17*T1^12*T2^6 - 93*T1*T2^7 - 362*T1^2*T2^7 + 
     2197*T1^3*T2^7 + 250*T1^4*T2^7 - 488*T1^5*T2^7 - 440*T1^6*T2^7 - 
     440*T1^7*T2^7 - 488*T1^8*T2^7 + 250*T1^9*T2^7 + 2197*T1^10*T2^7 - 
     362*T1^11*T2^7 - 93*T1^12*T2^7 + 159*T1^2*T2^8 + 88*T1^3*T2^8 - 
     2219*T1^4*T2^8 + 250*T1^5*T2^8 + 1142*T1^6*T2^8 - 488*T1^7*T2^8 + 
     1142*T1^8*T2^8 + 250*T1^9*T2^8 - 2219*T1^10*T2^8 + 88*T1^11*T2^8 + 
     159*T1^12*T2^8 - 175*T1^3*T2^9 + 88*T1^4*T2^9 + 2197*T1^5*T2^9 - 
     1858*T1^6*T2^9 + 250*T1^7*T2^9 + 250*T1^8*T2^9 - 1858*T1^9*T2^9 + 
     2197*T1^10*T2^9 + 88*T1^11*T2^9 - 175*T1^12*T2^9 + 159*T1^4*T2^10 - 
     362*T1^5*T2^10 - 1095*T1^6*T2^10 + 2197*T1^7*T2^10 - 2219*T1^8*T2^10 + 
     2197*T1^9*T2^10 - 1095*T1^10*T2^10 - 362*T1^11*T2^10 + 159*T1^12*T2^10 - 
     93*T1^5*T2^11 + 416*T1^6*T2^11 - 362*T1^7*T2^11 + 88*T1^8*T2^11 + 
     88*T1^9*T2^11 - 362*T1^10*T2^11 + 416*T1^11*T2^11 - 93*T1^12*T2^11 + 
     17*T1^6*T2^12 - 93*T1^7*T2^12 + 159*T1^8*T2^12 - 175*T1^9*T2^12 + 
     159*T1^10*T2^12 - 93*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, Alternating, 208] -> 
  {-((2 - 12*T + 24*T^2 - 29*T^3 + 24*T^4 - 12*T^5 + 2*T^6)/T^3), 
   (17 - 101*T1 + 199*T1^2 - 239*T1^3 + 199*T1^4 - 101*T1^5 + 17*T1^6 - 
     101*T2 + 500*T1*T2 - 586*T1^2*T2 + 240*T1^3*T2 + 240*T1^4*T2 - 
     586*T1^5*T2 + 500*T1^6*T2 - 101*T1^7*T2 + 199*T2^2 - 586*T1*T2^2 - 
     990*T1^2*T2^2 + 3000*T1^3*T2^2 - 3754*T1^4*T2^2 + 3000*T1^5*T2^2 - 
     990*T1^6*T2^2 - 586*T1^7*T2^2 + 199*T1^8*T2^2 - 239*T2^3 + 240*T1*T2^3 + 
     3000*T1^2*T2^3 - 3858*T1^3*T2^3 + 1550*T1^4*T2^3 + 1550*T1^5*T2^3 - 
     3858*T1^6*T2^3 + 3000*T1^7*T2^3 + 240*T1^8*T2^3 - 239*T1^9*T2^3 + 
     199*T2^4 + 240*T1*T2^4 - 3754*T1^2*T2^4 + 1550*T1^3*T2^4 + 
     2198*T1^4*T2^4 - 3446*T1^5*T2^4 + 2198*T1^6*T2^4 + 1550*T1^7*T2^4 - 
     3754*T1^8*T2^4 + 240*T1^9*T2^4 + 199*T1^10*T2^4 - 101*T2^5 - 
     586*T1*T2^5 + 3000*T1^2*T2^5 + 1550*T1^3*T2^5 - 3446*T1^4*T2^5 + 
     1392*T1^5*T2^5 + 1392*T1^6*T2^5 - 3446*T1^7*T2^5 + 1550*T1^8*T2^5 + 
     3000*T1^9*T2^5 - 586*T1^10*T2^5 - 101*T1^11*T2^5 + 17*T2^6 + 
     500*T1*T2^6 - 990*T1^2*T2^6 - 3858*T1^3*T2^6 + 2198*T1^4*T2^6 + 
     1392*T1^5*T2^6 - 2544*T1^6*T2^6 + 1392*T1^7*T2^6 + 2198*T1^8*T2^6 - 
     3858*T1^9*T2^6 - 990*T1^10*T2^6 + 500*T1^11*T2^6 + 17*T1^12*T2^6 - 
     101*T1*T2^7 - 586*T1^2*T2^7 + 3000*T1^3*T2^7 + 1550*T1^4*T2^7 - 
     3446*T1^5*T2^7 + 1392*T1^6*T2^7 + 1392*T1^7*T2^7 - 3446*T1^8*T2^7 + 
     1550*T1^9*T2^7 + 3000*T1^10*T2^7 - 586*T1^11*T2^7 - 101*T1^12*T2^7 + 
     199*T1^2*T2^8 + 240*T1^3*T2^8 - 3754*T1^4*T2^8 + 1550*T1^5*T2^8 + 
     2198*T1^6*T2^8 - 3446*T1^7*T2^8 + 2198*T1^8*T2^8 + 1550*T1^9*T2^8 - 
     3754*T1^10*T2^8 + 240*T1^11*T2^8 + 199*T1^12*T2^8 - 239*T1^3*T2^9 + 
     240*T1^4*T2^9 + 3000*T1^5*T2^9 - 3858*T1^6*T2^9 + 1550*T1^7*T2^9 + 
     1550*T1^8*T2^9 - 3858*T1^9*T2^9 + 3000*T1^10*T2^9 + 240*T1^11*T2^9 - 
     239*T1^12*T2^9 + 199*T1^4*T2^10 - 586*T1^5*T2^10 - 990*T1^6*T2^10 + 
     3000*T1^7*T2^10 - 3754*T1^8*T2^10 + 3000*T1^9*T2^10 - 990*T1^10*T2^10 - 
     586*T1^11*T2^10 + 199*T1^12*T2^10 - 101*T1^5*T2^11 + 500*T1^6*T2^11 - 
     586*T1^7*T2^11 + 240*T1^8*T2^11 + 240*T1^9*T2^11 - 586*T1^10*T2^11 + 
     500*T1^11*T2^11 - 101*T1^12*T2^11 + 17*T1^6*T2^12 - 101*T1^7*T2^12 + 
     199*T1^8*T2^12 - 239*T1^9*T2^12 + 199*T1^10*T2^12 - 101*T1^11*T2^12 + 
     17*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, Alternating, 209] -> 
  {-((1 - 10*T + 34*T^2 - 51*T^3 + 34*T^4 - 10*T^5 + T^6)/T^3), 
   -((T1 - T1^2 - T1^3 + T1^4 + T2 - T1*T2 - 42*T1^2*T2 + 89*T1^3*T2 - 
      42*T1^4*T2 - T1^5*T2 + T1^6*T2 - T2^2 - 42*T1*T2^2 + 268*T1^2*T2^2 - 
      253*T1^3*T2^2 - 253*T1^4*T2^2 + 268*T1^5*T2^2 - 42*T1^6*T2^2 - 
      T1^7*T2^2 - T2^3 + 89*T1*T2^3 - 253*T1^2*T2^3 - 773*T1^3*T2^3 + 
      2131*T1^4*T2^3 - 773*T1^5*T2^3 - 253*T1^6*T2^3 + 89*T1^7*T2^3 - 
      T1^8*T2^3 + T2^4 - 42*T1*T2^4 - 253*T1^2*T2^4 + 2131*T1^3*T2^4 - 
      2138*T1^4*T2^4 - 2138*T1^5*T2^4 + 2131*T1^6*T2^4 - 253*T1^7*T2^4 - 
      42*T1^8*T2^4 + T1^9*T2^4 - T1*T2^5 + 268*T1^2*T2^5 - 773*T1^3*T2^5 - 
      2138*T1^4*T2^5 + 6084*T1^5*T2^5 - 2138*T1^6*T2^5 - 773*T1^7*T2^5 + 
      268*T1^8*T2^5 - T1^9*T2^5 + T1*T2^6 - 42*T1^2*T2^6 - 253*T1^3*T2^6 + 
      2131*T1^4*T2^6 - 2138*T1^5*T2^6 - 2138*T1^6*T2^6 + 2131*T1^7*T2^6 - 
      253*T1^8*T2^6 - 42*T1^9*T2^6 + T1^10*T2^6 - T1^2*T2^7 + 89*T1^3*T2^7 - 
      253*T1^4*T2^7 - 773*T1^5*T2^7 + 2131*T1^6*T2^7 - 773*T1^7*T2^7 - 
      253*T1^8*T2^7 + 89*T1^9*T2^7 - T1^10*T2^7 - T1^3*T2^8 - 42*T1^4*T2^8 + 
      268*T1^5*T2^8 - 253*T1^6*T2^8 - 253*T1^7*T2^8 + 268*T1^8*T2^8 - 
      42*T1^9*T2^8 - T1^10*T2^8 + T1^4*T2^9 - T1^5*T2^9 - 42*T1^6*T2^9 + 
      89*T1^7*T2^9 - 42*T1^8*T2^9 - T1^9*T2^9 + T1^10*T2^9 + T1^6*T2^10 - 
      T1^7*T2^10 - T1^8*T2^10 + T1^9*T2^10)/(T1^5*T2^5))}, 
 Knot[11, Alternating, 210] -> {(4 - 18*T + 29*T^2 - 18*T^3 + 4*T^4)/T^2, 
   (4*T1 - 8*T1^2 + 4*T1^3 + 4*T2 - 34*T1*T2 + 32*T1^2*T2 + 32*T1^3*T2 - 
     34*T1^4*T2 + 4*T1^5*T2 - 8*T2^2 + 32*T1*T2^2 + 149*T1^2*T2^2 - 
     389*T1^3*T2^2 + 149*T1^4*T2^2 + 32*T1^5*T2^2 - 8*T1^6*T2^2 + 4*T2^3 + 
     32*T1*T2^3 - 389*T1^2*T2^3 + 424*T1^3*T2^3 + 424*T1^4*T2^3 - 
     389*T1^5*T2^3 + 32*T1^6*T2^3 + 4*T1^7*T2^3 - 34*T1*T2^4 + 
     149*T1^2*T2^4 + 424*T1^3*T2^4 - 1284*T1^4*T2^4 + 424*T1^5*T2^4 + 
     149*T1^6*T2^4 - 34*T1^7*T2^4 + 4*T1*T2^5 + 32*T1^2*T2^5 - 
     389*T1^3*T2^5 + 424*T1^4*T2^5 + 424*T1^5*T2^5 - 389*T1^6*T2^5 + 
     32*T1^7*T2^5 + 4*T1^8*T2^5 - 8*T1^2*T2^6 + 32*T1^3*T2^6 + 
     149*T1^4*T2^6 - 389*T1^5*T2^6 + 149*T1^6*T2^6 + 32*T1^7*T2^6 - 
     8*T1^8*T2^6 + 4*T1^3*T2^7 - 34*T1^4*T2^7 + 32*T1^5*T2^7 + 32*T1^6*T2^7 - 
     34*T1^7*T2^7 + 4*T1^8*T2^7 + 4*T1^5*T2^8 - 8*T1^6*T2^8 + 4*T1^7*T2^8)/
    (T1^4*T2^4)}, Knot[11, Alternating, 211] -> 
  {-((3 - 17*T + 27*T^2 - 17*T^3 + 3*T^4)/T^2), 
   (2*(18 - 101*T1 + 159*T1^2 - 101*T1^3 + 18*T1^4 - 101*T2 + 466*T1*T2 - 
      326*T1^2*T2 - 326*T1^3*T2 + 466*T1^4*T2 - 101*T1^5*T2 + 159*T2^2 - 
      326*T1*T2^2 - 1542*T1^2*T2^2 + 3086*T1^3*T2^2 - 1542*T1^4*T2^2 - 
      326*T1^5*T2^2 + 159*T1^6*T2^2 - 101*T2^3 - 326*T1*T2^3 + 
      3086*T1^2*T2^3 - 2296*T1^3*T2^3 - 2296*T1^4*T2^3 + 3086*T1^5*T2^3 - 
      326*T1^6*T2^3 - 101*T1^7*T2^3 + 18*T2^4 + 466*T1*T2^4 - 
      1542*T1^2*T2^4 - 2296*T1^3*T2^4 + 5778*T1^4*T2^4 - 2296*T1^5*T2^4 - 
      1542*T1^6*T2^4 + 466*T1^7*T2^4 + 18*T1^8*T2^4 - 101*T1*T2^5 - 
      326*T1^2*T2^5 + 3086*T1^3*T2^5 - 2296*T1^4*T2^5 - 2296*T1^5*T2^5 + 
      3086*T1^6*T2^5 - 326*T1^7*T2^5 - 101*T1^8*T2^5 + 159*T1^2*T2^6 - 
      326*T1^3*T2^6 - 1542*T1^4*T2^6 + 3086*T1^5*T2^6 - 1542*T1^6*T2^6 - 
      326*T1^7*T2^6 + 159*T1^8*T2^6 - 101*T1^3*T2^7 + 466*T1^4*T2^7 - 
      326*T1^5*T2^7 - 326*T1^6*T2^7 + 466*T1^7*T2^7 - 101*T1^8*T2^7 + 
      18*T1^4*T2^8 - 101*T1^5*T2^8 + 159*T1^6*T2^8 - 101*T1^7*T2^8 + 
      18*T1^8*T2^8))/(T1^4*T2^4)}, Knot[11, Alternating, 212] -> 
  {-(((1 - T + T^2)*(3 - 13*T + 19*T^2 - 13*T^3 + 3*T^4))/T^3), 
   -((57 - 299*T1 + 645*T1^2 - 827*T1^3 + 645*T1^4 - 299*T1^5 + 57*T1^6 - 
      299*T2 + 1274*T1*T2 - 1830*T1^2*T2 + 963*T1^3*T2 + 963*T1^4*T2 - 
      1830*T1^5*T2 + 1274*T1^6*T2 - 299*T1^7*T2 + 645*T2^2 - 1830*T1*T2^2 - 
      239*T1^2*T2^2 + 5050*T1^3*T2^2 - 8245*T1^4*T2^2 + 5050*T1^5*T2^2 - 
      239*T1^6*T2^2 - 1830*T1^7*T2^2 + 645*T1^8*T2^2 - 827*T2^3 + 
      963*T1*T2^3 + 5050*T1^2*T2^3 - 9766*T1^3*T2^3 + 5979*T1^4*T2^3 + 
      5979*T1^5*T2^3 - 9766*T1^6*T2^3 + 5050*T1^7*T2^3 + 963*T1^8*T2^3 - 
      827*T1^9*T2^3 + 645*T2^4 + 963*T1*T2^4 - 8245*T1^2*T2^4 + 
      5979*T1^3*T2^4 + 6060*T1^4*T2^4 - 16316*T1^5*T2^4 + 6060*T1^6*T2^4 + 
      5979*T1^7*T2^4 - 8245*T1^8*T2^4 + 963*T1^9*T2^4 + 645*T1^10*T2^4 - 
      299*T2^5 - 1830*T1*T2^5 + 5050*T1^2*T2^5 + 5979*T1^3*T2^5 - 
      16316*T1^4*T2^5 + 11468*T1^5*T2^5 + 11468*T1^6*T2^5 - 16316*T1^7*T2^5 + 
      5979*T1^8*T2^5 + 5050*T1^9*T2^5 - 1830*T1^10*T2^5 - 299*T1^11*T2^5 + 
      57*T2^6 + 1274*T1*T2^6 - 239*T1^2*T2^6 - 9766*T1^3*T2^6 + 
      6060*T1^4*T2^6 + 11468*T1^5*T2^6 - 26892*T1^6*T2^6 + 11468*T1^7*T2^6 + 
      6060*T1^8*T2^6 - 9766*T1^9*T2^6 - 239*T1^10*T2^6 + 1274*T1^11*T2^6 + 
      57*T1^12*T2^6 - 299*T1*T2^7 - 1830*T1^2*T2^7 + 5050*T1^3*T2^7 + 
      5979*T1^4*T2^7 - 16316*T1^5*T2^7 + 11468*T1^6*T2^7 + 11468*T1^7*T2^7 - 
      16316*T1^8*T2^7 + 5979*T1^9*T2^7 + 5050*T1^10*T2^7 - 1830*T1^11*T2^7 - 
      299*T1^12*T2^7 + 645*T1^2*T2^8 + 963*T1^3*T2^8 - 8245*T1^4*T2^8 + 
      5979*T1^5*T2^8 + 6060*T1^6*T2^8 - 16316*T1^7*T2^8 + 6060*T1^8*T2^8 + 
      5979*T1^9*T2^8 - 8245*T1^10*T2^8 + 963*T1^11*T2^8 + 645*T1^12*T2^8 - 
      827*T1^3*T2^9 + 963*T1^4*T2^9 + 5050*T1^5*T2^9 - 9766*T1^6*T2^9 + 
      5979*T1^7*T2^9 + 5979*T1^8*T2^9 - 9766*T1^9*T2^9 + 5050*T1^10*T2^9 + 
      963*T1^11*T2^9 - 827*T1^12*T2^9 + 645*T1^4*T2^10 - 1830*T1^5*T2^10 - 
      239*T1^6*T2^10 + 5050*T1^7*T2^10 - 8245*T1^8*T2^10 + 5050*T1^9*T2^10 - 
      239*T1^10*T2^10 - 1830*T1^11*T2^10 + 645*T1^12*T2^10 - 299*T1^5*T2^11 + 
      1274*T1^6*T2^11 - 1830*T1^7*T2^11 + 963*T1^8*T2^11 + 963*T1^9*T2^11 - 
      1830*T1^10*T2^11 + 1274*T1^11*T2^11 - 299*T1^12*T2^11 + 57*T1^6*T2^12 - 
      299*T1^7*T2^12 + 645*T1^8*T2^12 - 827*T1^9*T2^12 + 645*T1^10*T2^12 - 
      299*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, Alternating, 213] -> 
  {-(((1 - 3*T + T^2)*(3 - 7*T + 9*T^2 - 7*T^3 + 3*T^4))/T^3), 
   -((57 - 299*T1 + 603*T1^2 - 743*T1^3 + 603*T1^4 - 299*T1^5 + 57*T1^6 - 
      299*T2 + 1278*T1*T2 - 1626*T1^2*T2 + 755*T1^3*T2 + 755*T1^4*T2 - 
      1626*T1^5*T2 + 1278*T1^6*T2 - 299*T1^7*T2 + 603*T2^2 - 1626*T1*T2^2 - 
      1137*T1^2*T2^2 + 5600*T1^3*T2^2 - 7847*T1^4*T2^2 + 5600*T1^5*T2^2 - 
      1137*T1^6*T2^2 - 1626*T1^7*T2^2 + 603*T1^8*T2^2 - 743*T2^3 + 
      755*T1*T2^3 + 5600*T1^2*T2^3 - 8554*T1^3*T2^3 + 4247*T1^4*T2^3 + 
      4247*T1^5*T2^3 - 8554*T1^6*T2^3 + 5600*T1^7*T2^3 + 755*T1^8*T2^3 - 
      743*T1^9*T2^3 + 603*T2^4 + 755*T1*T2^4 - 7847*T1^2*T2^4 + 
      4247*T1^3*T2^4 + 4801*T1^4*T2^4 - 10047*T1^5*T2^4 + 4801*T1^6*T2^4 + 
      4247*T1^7*T2^4 - 7847*T1^8*T2^4 + 755*T1^9*T2^4 + 603*T1^10*T2^4 - 
      299*T2^5 - 1626*T1*T2^5 + 5600*T1^2*T2^5 + 4247*T1^3*T2^5 - 
      10047*T1^4*T2^5 + 5642*T1^5*T2^5 + 5642*T1^6*T2^5 - 10047*T1^7*T2^5 + 
      4247*T1^8*T2^5 + 5600*T1^9*T2^5 - 1626*T1^10*T2^5 - 299*T1^11*T2^5 + 
      57*T2^6 + 1278*T1*T2^6 - 1137*T1^2*T2^6 - 8554*T1^3*T2^6 + 
      4801*T1^4*T2^6 + 5642*T1^5*T2^6 - 12060*T1^6*T2^6 + 5642*T1^7*T2^6 + 
      4801*T1^8*T2^6 - 8554*T1^9*T2^6 - 1137*T1^10*T2^6 + 1278*T1^11*T2^6 + 
      57*T1^12*T2^6 - 299*T1*T2^7 - 1626*T1^2*T2^7 + 5600*T1^3*T2^7 + 
      4247*T1^4*T2^7 - 10047*T1^5*T2^7 + 5642*T1^6*T2^7 + 5642*T1^7*T2^7 - 
      10047*T1^8*T2^7 + 4247*T1^9*T2^7 + 5600*T1^10*T2^7 - 1626*T1^11*T2^7 - 
      299*T1^12*T2^7 + 603*T1^2*T2^8 + 755*T1^3*T2^8 - 7847*T1^4*T2^8 + 
      4247*T1^5*T2^8 + 4801*T1^6*T2^8 - 10047*T1^7*T2^8 + 4801*T1^8*T2^8 + 
      4247*T1^9*T2^8 - 7847*T1^10*T2^8 + 755*T1^11*T2^8 + 603*T1^12*T2^8 - 
      743*T1^3*T2^9 + 755*T1^4*T2^9 + 5600*T1^5*T2^9 - 8554*T1^6*T2^9 + 
      4247*T1^7*T2^9 + 4247*T1^8*T2^9 - 8554*T1^9*T2^9 + 5600*T1^10*T2^9 + 
      755*T1^11*T2^9 - 743*T1^12*T2^9 + 603*T1^4*T2^10 - 1626*T1^5*T2^10 - 
      1137*T1^6*T2^10 + 5600*T1^7*T2^10 - 7847*T1^8*T2^10 + 5600*T1^9*T2^10 - 
      1137*T1^10*T2^10 - 1626*T1^11*T2^10 + 603*T1^12*T2^10 - 
      299*T1^5*T2^11 + 1278*T1^6*T2^11 - 1626*T1^7*T2^11 + 755*T1^8*T2^11 + 
      755*T1^9*T2^11 - 1626*T1^10*T2^11 + 1278*T1^11*T2^11 - 
      299*T1^12*T2^11 + 57*T1^6*T2^12 - 299*T1^7*T2^12 + 603*T1^8*T2^12 - 
      743*T1^9*T2^12 + 603*T1^10*T2^12 - 299*T1^11*T2^12 + 57*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[11, Alternating, 214] -> 
  {(3 - 17*T + 29*T^2 - 17*T^3 + 3*T^4)/T^2, 
   (9 - 49*T1 + 85*T1^2 - 49*T1^3 + 9*T1^4 - 49*T2 + 218*T1*T2 - 
     196*T1^2*T2 - 196*T1^3*T2 + 218*T1^4*T2 - 49*T1^5*T2 + 85*T2^2 - 
     196*T1*T2^2 - 595*T1^2*T2^2 + 1649*T1^3*T2^2 - 595*T1^4*T2^2 - 
     196*T1^5*T2^2 + 85*T1^6*T2^2 - 49*T2^3 - 196*T1*T2^3 + 1649*T1^2*T2^3 - 
     1676*T1^3*T2^3 - 1676*T1^4*T2^3 + 1649*T1^5*T2^3 - 196*T1^6*T2^3 - 
     49*T1^7*T2^3 + 9*T2^4 + 218*T1*T2^4 - 595*T1^2*T2^4 - 1676*T1^3*T2^4 + 
     4800*T1^4*T2^4 - 1676*T1^5*T2^4 - 595*T1^6*T2^4 + 218*T1^7*T2^4 + 
     9*T1^8*T2^4 - 49*T1*T2^5 - 196*T1^2*T2^5 + 1649*T1^3*T2^5 - 
     1676*T1^4*T2^5 - 1676*T1^5*T2^5 + 1649*T1^6*T2^5 - 196*T1^7*T2^5 - 
     49*T1^8*T2^5 + 85*T1^2*T2^6 - 196*T1^3*T2^6 - 595*T1^4*T2^6 + 
     1649*T1^5*T2^6 - 595*T1^6*T2^6 - 196*T1^7*T2^6 + 85*T1^8*T2^6 - 
     49*T1^3*T2^7 + 218*T1^4*T2^7 - 196*T1^5*T2^7 - 196*T1^6*T2^7 + 
     218*T1^7*T2^7 - 49*T1^8*T2^7 + 9*T1^4*T2^8 - 49*T1^5*T2^8 + 
     85*T1^6*T2^8 - 49*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4)}, 
 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, 
   (2 - 12*T1 + 34*T1^2 - 54*T1^3 + 62*T1^4 - 54*T1^5 + 34*T1^6 - 12*T1^7 + 
     2*T1^8 - 12*T2 + 60*T1*T2 - 132*T1^2*T2 + 120*T1^3*T2 - 48*T1^4*T2 - 
     48*T1^5*T2 + 120*T1^6*T2 - 132*T1^7*T2 + 60*T1^8*T2 - 12*T1^9*T2 + 
     34*T2^2 - 132*T1*T2^2 + 178*T1^2*T2^2 + 110*T1^3*T2^2 - 335*T1^4*T2^2 + 
     426*T1^5*T2^2 - 335*T1^6*T2^2 + 110*T1^7*T2^2 + 178*T1^8*T2^2 - 
     132*T1^9*T2^2 + 34*T1^10*T2^2 - 54*T2^3 + 120*T1*T2^3 + 110*T1^2*T2^3 - 
     856*T1^3*T2^3 + 742*T1^4*T2^3 - 300*T1^5*T2^3 - 300*T1^6*T2^3 + 
     742*T1^7*T2^3 - 856*T1^8*T2^3 + 110*T1^9*T2^3 + 120*T1^10*T2^3 - 
     54*T1^11*T2^3 + 62*T2^4 - 48*T1*T2^4 - 335*T1^2*T2^4 + 742*T1^3*T2^4 + 
     941*T1^4*T2^4 - 2020*T1^5*T2^4 + 2481*T1^6*T2^4 - 2020*T1^7*T2^4 + 
     941*T1^8*T2^4 + 742*T1^9*T2^4 - 335*T1^10*T2^4 - 48*T1^11*T2^4 + 
     62*T1^12*T2^4 - 54*T2^5 - 48*T1*T2^5 + 426*T1^2*T2^5 - 300*T1^3*T2^5 - 
     2020*T1^4*T2^5 + 1610*T1^5*T2^5 - 692*T1^6*T2^5 - 692*T1^7*T2^5 + 
     1610*T1^8*T2^5 - 2020*T1^9*T2^5 - 300*T1^10*T2^5 + 426*T1^11*T2^5 - 
     48*T1^12*T2^5 - 54*T1^13*T2^5 + 34*T2^6 + 120*T1*T2^6 - 335*T1^2*T2^6 - 
     300*T1^3*T2^6 + 2481*T1^4*T2^6 - 692*T1^5*T2^6 + 131*T1^6*T2^6 + 
     327*T1^7*T2^6 + 131*T1^8*T2^6 - 692*T1^9*T2^6 + 2481*T1^10*T2^6 - 
     300*T1^11*T2^6 - 335*T1^12*T2^6 + 120*T1^13*T2^6 + 34*T1^14*T2^6 - 
     12*T2^7 - 132*T1*T2^7 + 110*T1^2*T2^7 + 742*T1^3*T2^7 - 2020*T1^4*T2^7 - 
     692*T1^5*T2^7 + 327*T1^6*T2^7 - 320*T1^7*T2^7 - 320*T1^8*T2^7 + 
     327*T1^9*T2^7 - 692*T1^10*T2^7 - 2020*T1^11*T2^7 + 742*T1^12*T2^7 + 
     110*T1^13*T2^7 - 132*T1^14*T2^7 - 12*T1^15*T2^7 + 2*T2^8 + 60*T1*T2^8 + 
     178*T1^2*T2^8 - 856*T1^3*T2^8 + 941*T1^4*T2^8 + 1610*T1^5*T2^8 + 
     131*T1^6*T2^8 - 320*T1^7*T2^8 + 792*T1^8*T2^8 - 320*T1^9*T2^8 + 
     131*T1^10*T2^8 + 1610*T1^11*T2^8 + 941*T1^12*T2^8 - 856*T1^13*T2^8 + 
     178*T1^14*T2^8 + 60*T1^15*T2^8 + 2*T1^16*T2^8 - 12*T1*T2^9 - 
     132*T1^2*T2^9 + 110*T1^3*T2^9 + 742*T1^4*T2^9 - 2020*T1^5*T2^9 - 
     692*T1^6*T2^9 + 327*T1^7*T2^9 - 320*T1^8*T2^9 - 320*T1^9*T2^9 + 
     327*T1^10*T2^9 - 692*T1^11*T2^9 - 2020*T1^12*T2^9 + 742*T1^13*T2^9 + 
     110*T1^14*T2^9 - 132*T1^15*T2^9 - 12*T1^16*T2^9 + 34*T1^2*T2^10 + 
     120*T1^3*T2^10 - 335*T1^4*T2^10 - 300*T1^5*T2^10 + 2481*T1^6*T2^10 - 
     692*T1^7*T2^10 + 131*T1^8*T2^10 + 327*T1^9*T2^10 + 131*T1^10*T2^10 - 
     692*T1^11*T2^10 + 2481*T1^12*T2^10 - 300*T1^13*T2^10 - 335*T1^14*T2^10 + 
     120*T1^15*T2^10 + 34*T1^16*T2^10 - 54*T1^3*T2^11 - 48*T1^4*T2^11 + 
     426*T1^5*T2^11 - 300*T1^6*T2^11 - 2020*T1^7*T2^11 + 1610*T1^8*T2^11 - 
     692*T1^9*T2^11 - 692*T1^10*T2^11 + 1610*T1^11*T2^11 - 2020*T1^12*T2^11 - 
     300*T1^13*T2^11 + 426*T1^14*T2^11 - 48*T1^15*T2^11 - 54*T1^16*T2^11 + 
     62*T1^4*T2^12 - 48*T1^5*T2^12 - 335*T1^6*T2^12 + 742*T1^7*T2^12 + 
     941*T1^8*T2^12 - 2020*T1^9*T2^12 + 2481*T1^10*T2^12 - 2020*T1^11*T2^12 + 
     941*T1^12*T2^12 + 742*T1^13*T2^12 - 335*T1^14*T2^12 - 48*T1^15*T2^12 + 
     62*T1^16*T2^12 - 54*T1^5*T2^13 + 120*T1^6*T2^13 + 110*T1^7*T2^13 - 
     856*T1^8*T2^13 + 742*T1^9*T2^13 - 300*T1^10*T2^13 - 300*T1^11*T2^13 + 
     742*T1^12*T2^13 - 856*T1^13*T2^13 + 110*T1^14*T2^13 + 120*T1^15*T2^13 - 
     54*T1^16*T2^13 + 34*T1^6*T2^14 - 132*T1^7*T2^14 + 178*T1^8*T2^14 + 
     110*T1^9*T2^14 - 335*T1^10*T2^14 + 426*T1^11*T2^14 - 335*T1^12*T2^14 + 
     110*T1^13*T2^14 + 178*T1^14*T2^14 - 132*T1^15*T2^14 + 34*T1^16*T2^14 - 
     12*T1^7*T2^15 + 60*T1^8*T2^15 - 132*T1^9*T2^15 + 120*T1^10*T2^15 - 
     48*T1^11*T2^15 - 48*T1^12*T2^15 + 120*T1^13*T2^15 - 132*T1^14*T2^15 + 
     60*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)/(T1^8*T2^8)}, 
 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), 
   -((1 - 6*T1 + 17*T1^2 - 31*T1^3 + 37*T1^4 - 31*T1^5 + 17*T1^6 - 6*T1^7 + 
      T1^8 - 6*T2 + 30*T1*T2 - 66*T1^2*T2 + 84*T1^3*T2 - 36*T1^4*T2 - 
      36*T1^5*T2 + 84*T1^6*T2 - 66*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 
      17*T2^2 - 66*T1*T2^2 + 90*T1^2*T2^2 - 17*T1^3*T2^2 - 199*T1^4*T2^2 + 
      282*T1^5*T2^2 - 199*T1^6*T2^2 - 17*T1^7*T2^2 + 90*T1^8*T2^2 - 
      66*T1^9*T2^2 + 17*T1^10*T2^2 - 31*T2^3 + 84*T1*T2^3 - 17*T1^2*T2^3 - 
      192*T1^3*T2^3 + 474*T1^4*T2^3 - 193*T1^5*T2^3 - 193*T1^6*T2^3 + 
      474*T1^7*T2^3 - 192*T1^8*T2^3 - 17*T1^9*T2^3 + 84*T1^10*T2^3 - 
      31*T1^11*T2^3 + 37*T2^4 - 36*T1*T2^4 - 199*T1^2*T2^4 + 474*T1^3*T2^4 - 
      590*T1^4*T2^4 - 262*T1^5*T2^4 + 486*T1^6*T2^4 - 262*T1^7*T2^4 - 
      590*T1^8*T2^4 + 474*T1^9*T2^4 - 199*T1^10*T2^4 - 36*T1^11*T2^4 + 
      37*T1^12*T2^4 - 31*T2^5 - 36*T1*T2^5 + 282*T1^2*T2^5 - 193*T1^3*T2^5 - 
      262*T1^4*T2^5 + 1452*T1^5*T2^5 - 534*T1^6*T2^5 - 534*T1^7*T2^5 + 
      1452*T1^8*T2^5 - 262*T1^9*T2^5 - 193*T1^10*T2^5 + 282*T1^11*T2^5 - 
      36*T1^12*T2^5 - 31*T1^13*T2^5 + 17*T2^6 + 84*T1*T2^6 - 199*T1^2*T2^6 - 
      193*T1^3*T2^6 + 486*T1^4*T2^6 - 534*T1^5*T2^6 - 2228*T1^6*T2^6 + 
      2942*T1^7*T2^6 - 2228*T1^8*T2^6 - 534*T1^9*T2^6 + 486*T1^10*T2^6 - 
      193*T1^11*T2^6 - 199*T1^12*T2^6 + 84*T1^13*T2^6 + 17*T1^14*T2^6 - 
      6*T2^7 - 66*T1*T2^7 - 17*T1^2*T2^7 + 474*T1^3*T2^7 - 262*T1^4*T2^7 - 
      534*T1^5*T2^7 + 2942*T1^6*T2^7 - 1086*T1^7*T2^7 - 1086*T1^8*T2^7 + 
      2942*T1^9*T2^7 - 534*T1^10*T2^7 - 262*T1^11*T2^7 + 474*T1^12*T2^7 - 
      17*T1^13*T2^7 - 66*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 
      90*T1^2*T2^8 - 192*T1^3*T2^8 - 590*T1^4*T2^8 + 1452*T1^5*T2^8 - 
      2228*T1^6*T2^8 - 1086*T1^7*T2^8 + 1884*T1^8*T2^8 - 1086*T1^9*T2^8 - 
      2228*T1^10*T2^8 + 1452*T1^11*T2^8 - 590*T1^12*T2^8 - 192*T1^13*T2^8 + 
      90*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 66*T1^2*T2^9 - 
      17*T1^3*T2^9 + 474*T1^4*T2^9 - 262*T1^5*T2^9 - 534*T1^6*T2^9 + 
      2942*T1^7*T2^9 - 1086*T1^8*T2^9 - 1086*T1^9*T2^9 + 2942*T1^10*T2^9 - 
      534*T1^11*T2^9 - 262*T1^12*T2^9 + 474*T1^13*T2^9 - 17*T1^14*T2^9 - 
      66*T1^15*T2^9 - 6*T1^16*T2^9 + 17*T1^2*T2^10 + 84*T1^3*T2^10 - 
      199*T1^4*T2^10 - 193*T1^5*T2^10 + 486*T1^6*T2^10 - 534*T1^7*T2^10 - 
      2228*T1^8*T2^10 + 2942*T1^9*T2^10 - 2228*T1^10*T2^10 - 
      534*T1^11*T2^10 + 486*T1^12*T2^10 - 193*T1^13*T2^10 - 199*T1^14*T2^10 + 
      84*T1^15*T2^10 + 17*T1^16*T2^10 - 31*T1^3*T2^11 - 36*T1^4*T2^11 + 
      282*T1^5*T2^11 - 193*T1^6*T2^11 - 262*T1^7*T2^11 + 1452*T1^8*T2^11 - 
      534*T1^9*T2^11 - 534*T1^10*T2^11 + 1452*T1^11*T2^11 - 262*T1^12*T2^11 - 
      193*T1^13*T2^11 + 282*T1^14*T2^11 - 36*T1^15*T2^11 - 31*T1^16*T2^11 + 
      37*T1^4*T2^12 - 36*T1^5*T2^12 - 199*T1^6*T2^12 + 474*T1^7*T2^12 - 
      590*T1^8*T2^12 - 262*T1^9*T2^12 + 486*T1^10*T2^12 - 262*T1^11*T2^12 - 
      590*T1^12*T2^12 + 474*T1^13*T2^12 - 199*T1^14*T2^12 - 36*T1^15*T2^12 + 
      37*T1^16*T2^12 - 31*T1^5*T2^13 + 84*T1^6*T2^13 - 17*T1^7*T2^13 - 
      192*T1^8*T2^13 + 474*T1^9*T2^13 - 193*T1^10*T2^13 - 193*T1^11*T2^13 + 
      474*T1^12*T2^13 - 192*T1^13*T2^13 - 17*T1^14*T2^13 + 84*T1^15*T2^13 - 
      31*T1^16*T2^13 + 17*T1^6*T2^14 - 66*T1^7*T2^14 + 90*T1^8*T2^14 - 
      17*T1^9*T2^14 - 199*T1^10*T2^14 + 282*T1^11*T2^14 - 199*T1^12*T2^14 - 
      17*T1^13*T2^14 + 90*T1^14*T2^14 - 66*T1^15*T2^14 + 17*T1^16*T2^14 - 
      6*T1^7*T2^15 + 30*T1^8*T2^15 - 66*T1^9*T2^15 + 84*T1^10*T2^15 - 
      36*T1^11*T2^15 - 36*T1^12*T2^15 + 84*T1^13*T2^15 - 66*T1^14*T2^15 + 
      30*T1^15*T2^15 - 6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 
      17*T1^10*T2^16 - 31*T1^11*T2^16 + 37*T1^12*T2^16 - 31*T1^13*T2^16 + 
      17*T1^14*T2^16 - 6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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), (1 - 6*T1 + 16*T1^2 - 29*T1^3 + 35*T1^4 - 29*T1^5 + 16*T1^6 - 
     6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 60*T1^2*T2 + 78*T1^3*T2 - 36*T1^4*T2 - 
     36*T1^5*T2 + 78*T1^6*T2 - 60*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 
     16*T2^2 - 60*T1*T2^2 + 55*T1^2*T2^2 + 21*T1^3*T2^2 - 241*T1^4*T2^2 + 
     351*T1^5*T2^2 - 241*T1^6*T2^2 + 21*T1^7*T2^2 + 55*T1^8*T2^2 - 
     60*T1^9*T2^2 + 16*T1^10*T2^2 - 29*T2^3 + 78*T1*T2^3 + 21*T1^2*T2^3 - 
     168*T1^3*T2^3 + 451*T1^4*T2^3 - 233*T1^5*T2^3 - 233*T1^6*T2^3 + 
     451*T1^7*T2^3 - 168*T1^8*T2^3 + 21*T1^9*T2^3 + 78*T1^10*T2^3 - 
     29*T1^11*T2^3 + 35*T2^4 - 36*T1*T2^4 - 241*T1^2*T2^4 + 451*T1^3*T2^4 - 
     791*T1^4*T2^4 + 171*T1^5*T2^4 + 203*T1^6*T2^4 + 171*T1^7*T2^4 - 
     791*T1^8*T2^4 + 451*T1^9*T2^4 - 241*T1^10*T2^4 - 36*T1^11*T2^4 + 
     35*T1^12*T2^4 - 29*T2^5 - 36*T1*T2^5 + 351*T1^2*T2^5 - 233*T1^3*T2^5 + 
     171*T1^4*T2^5 + 1006*T1^5*T2^5 - 624*T1^6*T2^5 - 624*T1^7*T2^5 + 
     1006*T1^8*T2^5 + 171*T1^9*T2^5 - 233*T1^10*T2^5 + 351*T1^11*T2^5 - 
     36*T1^12*T2^5 - 29*T1^13*T2^5 + 16*T2^6 + 78*T1*T2^6 - 241*T1^2*T2^6 - 
     233*T1^3*T2^6 + 203*T1^4*T2^6 - 624*T1^5*T2^6 - 1595*T1^6*T2^6 + 
     2903*T1^7*T2^6 - 1595*T1^8*T2^6 - 624*T1^9*T2^6 + 203*T1^10*T2^6 - 
     233*T1^11*T2^6 - 241*T1^12*T2^6 + 78*T1^13*T2^6 + 16*T1^14*T2^6 - 
     6*T2^7 - 60*T1*T2^7 + 21*T1^2*T2^7 + 451*T1^3*T2^7 + 171*T1^4*T2^7 - 
     624*T1^5*T2^7 + 2903*T1^6*T2^7 - 1642*T1^7*T2^7 - 1642*T1^8*T2^7 + 
     2903*T1^9*T2^7 - 624*T1^10*T2^7 + 171*T1^11*T2^7 + 451*T1^12*T2^7 + 
     21*T1^13*T2^7 - 60*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 
     55*T1^2*T2^8 - 168*T1^3*T2^8 - 791*T1^4*T2^8 + 1006*T1^5*T2^8 - 
     1595*T1^6*T2^8 - 1642*T1^7*T2^8 + 3576*T1^8*T2^8 - 1642*T1^9*T2^8 - 
     1595*T1^10*T2^8 + 1006*T1^11*T2^8 - 791*T1^12*T2^8 - 168*T1^13*T2^8 + 
     55*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 60*T1^2*T2^9 + 
     21*T1^3*T2^9 + 451*T1^4*T2^9 + 171*T1^5*T2^9 - 624*T1^6*T2^9 + 
     2903*T1^7*T2^9 - 1642*T1^8*T2^9 - 1642*T1^9*T2^9 + 2903*T1^10*T2^9 - 
     624*T1^11*T2^9 + 171*T1^12*T2^9 + 451*T1^13*T2^9 + 21*T1^14*T2^9 - 
     60*T1^15*T2^9 - 6*T1^16*T2^9 + 16*T1^2*T2^10 + 78*T1^3*T2^10 - 
     241*T1^4*T2^10 - 233*T1^5*T2^10 + 203*T1^6*T2^10 - 624*T1^7*T2^10 - 
     1595*T1^8*T2^10 + 2903*T1^9*T2^10 - 1595*T1^10*T2^10 - 624*T1^11*T2^10 + 
     203*T1^12*T2^10 - 233*T1^13*T2^10 - 241*T1^14*T2^10 + 78*T1^15*T2^10 + 
     16*T1^16*T2^10 - 29*T1^3*T2^11 - 36*T1^4*T2^11 + 351*T1^5*T2^11 - 
     233*T1^6*T2^11 + 171*T1^7*T2^11 + 1006*T1^8*T2^11 - 624*T1^9*T2^11 - 
     624*T1^10*T2^11 + 1006*T1^11*T2^11 + 171*T1^12*T2^11 - 233*T1^13*T2^11 + 
     351*T1^14*T2^11 - 36*T1^15*T2^11 - 29*T1^16*T2^11 + 35*T1^4*T2^12 - 
     36*T1^5*T2^12 - 241*T1^6*T2^12 + 451*T1^7*T2^12 - 791*T1^8*T2^12 + 
     171*T1^9*T2^12 + 203*T1^10*T2^12 + 171*T1^11*T2^12 - 791*T1^12*T2^12 + 
     451*T1^13*T2^12 - 241*T1^14*T2^12 - 36*T1^15*T2^12 + 35*T1^16*T2^12 - 
     29*T1^5*T2^13 + 78*T1^6*T2^13 + 21*T1^7*T2^13 - 168*T1^8*T2^13 + 
     451*T1^9*T2^13 - 233*T1^10*T2^13 - 233*T1^11*T2^13 + 451*T1^12*T2^13 - 
     168*T1^13*T2^13 + 21*T1^14*T2^13 + 78*T1^15*T2^13 - 29*T1^16*T2^13 + 
     16*T1^6*T2^14 - 60*T1^7*T2^14 + 55*T1^8*T2^14 + 21*T1^9*T2^14 - 
     241*T1^10*T2^14 + 351*T1^11*T2^14 - 241*T1^12*T2^14 + 21*T1^13*T2^14 + 
     55*T1^14*T2^14 - 60*T1^15*T2^14 + 16*T1^16*T2^14 - 6*T1^7*T2^15 + 
     30*T1^8*T2^15 - 60*T1^9*T2^15 + 78*T1^10*T2^15 - 36*T1^11*T2^15 - 
     36*T1^12*T2^15 + 78*T1^13*T2^15 - 60*T1^14*T2^15 + 30*T1^15*T2^15 - 
     6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 16*T1^10*T2^16 - 
     29*T1^11*T2^16 + 35*T1^12*T2^16 - 29*T1^13*T2^16 + 16*T1^14*T2^16 - 
     6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 218] -> 
  {(1 - 10*T + 32*T^2 - 45*T^3 + 32*T^4 - 10*T^5 + T^6)/T^3, 
   -((1 - 10*T1 + 32*T1^2 - 45*T1^3 + 32*T1^4 - 10*T1^5 + T1^6 - 10*T2 + 
      90*T1*T2 - 219*T1^2*T2 + 129*T1^3*T2 + 129*T1^4*T2 - 219*T1^5*T2 + 
      90*T1^6*T2 - 10*T1^7*T2 + 32*T2^2 - 219*T1*T2^2 + 73*T1^2*T2^2 + 
      1318*T1^3*T2^2 - 2251*T1^4*T2^2 + 1318*T1^5*T2^2 + 73*T1^6*T2^2 - 
      219*T1^7*T2^2 + 32*T1^8*T2^2 - 45*T2^3 + 129*T1*T2^3 + 1318*T1^2*T2^3 - 
      4528*T1^3*T2^3 + 2800*T1^4*T2^3 + 2800*T1^5*T2^3 - 4528*T1^6*T2^3 + 
      1318*T1^7*T2^3 + 129*T1^8*T2^3 - 45*T1^9*T2^3 + 32*T2^4 + 129*T1*T2^4 - 
      2251*T1^2*T2^4 + 2800*T1^3*T2^4 + 7570*T1^4*T2^4 - 14920*T1^5*T2^4 + 
      7570*T1^6*T2^4 + 2800*T1^7*T2^4 - 2251*T1^8*T2^4 + 129*T1^9*T2^4 + 
      32*T1^10*T2^4 - 10*T2^5 - 219*T1*T2^5 + 1318*T1^2*T2^5 + 
      2800*T1^3*T2^5 - 14920*T1^4*T2^5 + 9664*T1^5*T2^5 + 9664*T1^6*T2^5 - 
      14920*T1^7*T2^5 + 2800*T1^8*T2^5 + 1318*T1^9*T2^5 - 219*T1^10*T2^5 - 
      10*T1^11*T2^5 + T2^6 + 90*T1*T2^6 + 73*T1^2*T2^6 - 4528*T1^3*T2^6 + 
      7570*T1^4*T2^6 + 9664*T1^5*T2^6 - 22524*T1^6*T2^6 + 9664*T1^7*T2^6 + 
      7570*T1^8*T2^6 - 4528*T1^9*T2^6 + 73*T1^10*T2^6 + 90*T1^11*T2^6 + 
      T1^12*T2^6 - 10*T1*T2^7 - 219*T1^2*T2^7 + 1318*T1^3*T2^7 + 
      2800*T1^4*T2^7 - 14920*T1^5*T2^7 + 9664*T1^6*T2^7 + 9664*T1^7*T2^7 - 
      14920*T1^8*T2^7 + 2800*T1^9*T2^7 + 1318*T1^10*T2^7 - 219*T1^11*T2^7 - 
      10*T1^12*T2^7 + 32*T1^2*T2^8 + 129*T1^3*T2^8 - 2251*T1^4*T2^8 + 
      2800*T1^5*T2^8 + 7570*T1^6*T2^8 - 14920*T1^7*T2^8 + 7570*T1^8*T2^8 + 
      2800*T1^9*T2^8 - 2251*T1^10*T2^8 + 129*T1^11*T2^8 + 32*T1^12*T2^8 - 
      45*T1^3*T2^9 + 129*T1^4*T2^9 + 1318*T1^5*T2^9 - 4528*T1^6*T2^9 + 
      2800*T1^7*T2^9 + 2800*T1^8*T2^9 - 4528*T1^9*T2^9 + 1318*T1^10*T2^9 + 
      129*T1^11*T2^9 - 45*T1^12*T2^9 + 32*T1^4*T2^10 - 219*T1^5*T2^10 + 
      73*T1^6*T2^10 + 1318*T1^7*T2^10 - 2251*T1^8*T2^10 + 1318*T1^9*T2^10 + 
      73*T1^10*T2^10 - 219*T1^11*T2^10 + 32*T1^12*T2^10 - 10*T1^5*T2^11 + 
      90*T1^6*T2^11 - 219*T1^7*T2^11 + 129*T1^8*T2^11 + 129*T1^9*T2^11 - 
      219*T1^10*T2^11 + 90*T1^11*T2^11 - 10*T1^12*T2^11 + T1^6*T2^12 - 
      10*T1^7*T2^12 + 32*T1^8*T2^12 - 45*T1^9*T2^12 + 32*T1^10*T2^12 - 
      10*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, Alternating, 219] -> {-((4 - 22*T + 35*T^2 - 22*T^3 + 4*T^4)/T^2), 
   (80 - 440*T1 + 696*T1^2 - 440*T1^3 + 80*T1^4 - 440*T2 + 1982*T1*T2 - 
     1410*T1^2*T2 - 1410*T1^3*T2 + 1982*T1^4*T2 - 440*T1^5*T2 + 696*T2^2 - 
     1410*T1*T2^2 - 6343*T1^2*T2^2 + 12993*T1^3*T2^2 - 6343*T1^4*T2^2 - 
     1410*T1^5*T2^2 + 696*T1^6*T2^2 - 440*T2^3 - 1410*T1*T2^3 + 
     12993*T1^2*T2^3 - 9912*T1^3*T2^3 - 9912*T1^4*T2^3 + 12993*T1^5*T2^3 - 
     1410*T1^6*T2^3 - 440*T1^7*T2^3 + 80*T2^4 + 1982*T1*T2^4 - 
     6343*T1^2*T2^4 - 9912*T1^3*T2^4 + 25224*T1^4*T2^4 - 9912*T1^5*T2^4 - 
     6343*T1^6*T2^4 + 1982*T1^7*T2^4 + 80*T1^8*T2^4 - 440*T1*T2^5 - 
     1410*T1^2*T2^5 + 12993*T1^3*T2^5 - 9912*T1^4*T2^5 - 9912*T1^5*T2^5 + 
     12993*T1^6*T2^5 - 1410*T1^7*T2^5 - 440*T1^8*T2^5 + 696*T1^2*T2^6 - 
     1410*T1^3*T2^6 - 6343*T1^4*T2^6 + 12993*T1^5*T2^6 - 6343*T1^6*T2^6 - 
     1410*T1^7*T2^6 + 696*T1^8*T2^6 - 440*T1^3*T2^7 + 1982*T1^4*T2^7 - 
     1410*T1^5*T2^7 - 1410*T1^6*T2^7 + 1982*T1^7*T2^7 - 440*T1^8*T2^7 + 
     80*T1^4*T2^8 - 440*T1^5*T2^8 + 696*T1^6*T2^8 - 440*T1^7*T2^8 + 
     80*T1^8*T2^8)/(T1^4*T2^4)}, Knot[11, Alternating, 220] -> 
  {-(((1 - 3*T + T^2)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^3), 
   -((17 - 85*T1 + 161*T1^2 - 195*T1^3 + 161*T1^4 - 85*T1^5 + 17*T1^6 - 
      85*T2 + 340*T1*T2 - 380*T1^2*T2 + 170*T1^3*T2 + 170*T1^4*T2 - 
      380*T1^5*T2 + 340*T1^6*T2 - 85*T1^7*T2 + 161*T2^2 - 380*T1*T2^2 - 
      423*T1^2*T2^2 + 1357*T1^3*T2^2 - 1811*T1^4*T2^2 + 1357*T1^5*T2^2 - 
      423*T1^6*T2^2 - 380*T1^7*T2^2 + 161*T1^8*T2^2 - 195*T2^3 + 
      170*T1*T2^3 + 1357*T1^2*T2^3 - 1646*T1^3*T2^3 + 796*T1^4*T2^3 + 
      796*T1^5*T2^3 - 1646*T1^6*T2^3 + 1357*T1^7*T2^3 + 170*T1^8*T2^3 - 
      195*T1^9*T2^3 + 161*T2^4 + 170*T1*T2^4 - 1811*T1^2*T2^4 + 
      796*T1^3*T2^4 + 565*T1^4*T2^4 - 1479*T1^5*T2^4 + 565*T1^6*T2^4 + 
      796*T1^7*T2^4 - 1811*T1^8*T2^4 + 170*T1^9*T2^4 + 161*T1^10*T2^4 - 
      85*T2^5 - 380*T1*T2^5 + 1357*T1^2*T2^5 + 796*T1^3*T2^5 - 
      1479*T1^4*T2^5 + 964*T1^5*T2^5 + 964*T1^6*T2^5 - 1479*T1^7*T2^5 + 
      796*T1^8*T2^5 + 1357*T1^9*T2^5 - 380*T1^10*T2^5 - 85*T1^11*T2^5 + 
      17*T2^6 + 340*T1*T2^6 - 423*T1^2*T2^6 - 1646*T1^3*T2^6 + 
      565*T1^4*T2^6 + 964*T1^5*T2^6 - 2220*T1^6*T2^6 + 964*T1^7*T2^6 + 
      565*T1^8*T2^6 - 1646*T1^9*T2^6 - 423*T1^10*T2^6 + 340*T1^11*T2^6 + 
      17*T1^12*T2^6 - 85*T1*T2^7 - 380*T1^2*T2^7 + 1357*T1^3*T2^7 + 
      796*T1^4*T2^7 - 1479*T1^5*T2^7 + 964*T1^6*T2^7 + 964*T1^7*T2^7 - 
      1479*T1^8*T2^7 + 796*T1^9*T2^7 + 1357*T1^10*T2^7 - 380*T1^11*T2^7 - 
      85*T1^12*T2^7 + 161*T1^2*T2^8 + 170*T1^3*T2^8 - 1811*T1^4*T2^8 + 
      796*T1^5*T2^8 + 565*T1^6*T2^8 - 1479*T1^7*T2^8 + 565*T1^8*T2^8 + 
      796*T1^9*T2^8 - 1811*T1^10*T2^8 + 170*T1^11*T2^8 + 161*T1^12*T2^8 - 
      195*T1^3*T2^9 + 170*T1^4*T2^9 + 1357*T1^5*T2^9 - 1646*T1^6*T2^9 + 
      796*T1^7*T2^9 + 796*T1^8*T2^9 - 1646*T1^9*T2^9 + 1357*T1^10*T2^9 + 
      170*T1^11*T2^9 - 195*T1^12*T2^9 + 161*T1^4*T2^10 - 380*T1^5*T2^10 - 
      423*T1^6*T2^10 + 1357*T1^7*T2^10 - 1811*T1^8*T2^10 + 1357*T1^9*T2^10 - 
      423*T1^10*T2^10 - 380*T1^11*T2^10 + 161*T1^12*T2^10 - 85*T1^5*T2^11 + 
      340*T1^6*T2^11 - 380*T1^7*T2^11 + 170*T1^8*T2^11 + 170*T1^9*T2^11 - 
      380*T1^10*T2^11 + 340*T1^11*T2^11 - 85*T1^12*T2^11 + 17*T1^6*T2^12 - 
      85*T1^7*T2^12 + 161*T1^8*T2^12 - 195*T1^9*T2^12 + 161*T1^10*T2^12 - 
      85*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), (1 - 5*T1 + 10*T1^2 - 15*T1^3 + 17*T1^4 - 15*T1^5 + 10*T1^6 - 
     5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 25*T1^2*T2 + 25*T1^3*T2 - 10*T1^4*T2 - 
     10*T1^5*T2 + 25*T1^6*T2 - 25*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
     10*T2^2 - 25*T1*T2^2 - 15*T1^2*T2^2 + 50*T1^3*T2^2 - 107*T1^4*T2^2 + 
     129*T1^5*T2^2 - 107*T1^6*T2^2 + 50*T1^7*T2^2 - 15*T1^8*T2^2 - 
     25*T1^9*T2^2 + 10*T1^10*T2^2 - 15*T2^3 + 25*T1*T2^3 + 50*T1^2*T2^3 - 
     40*T1^3*T2^3 + 83*T1^4*T2^3 - 38*T1^5*T2^3 - 38*T1^6*T2^3 + 
     83*T1^7*T2^3 - 40*T1^8*T2^3 + 50*T1^9*T2^3 + 25*T1^10*T2^3 - 
     15*T1^11*T2^3 + 17*T2^4 - 10*T1*T2^4 - 107*T1^2*T2^4 + 83*T1^3*T2^4 - 
     239*T1^4*T2^4 + 197*T1^5*T2^4 - 157*T1^6*T2^4 + 197*T1^7*T2^4 - 
     239*T1^8*T2^4 + 83*T1^9*T2^4 - 107*T1^10*T2^4 - 10*T1^11*T2^4 + 
     17*T1^12*T2^4 - 15*T2^5 - 10*T1*T2^5 + 129*T1^2*T2^5 - 38*T1^3*T2^5 + 
     197*T1^4*T2^5 + 6*T1^5*T2^5 - 47*T1^6*T2^5 - 47*T1^7*T2^5 + 
     6*T1^8*T2^5 + 197*T1^9*T2^5 - 38*T1^10*T2^5 + 129*T1^11*T2^5 - 
     10*T1^12*T2^5 - 15*T1^13*T2^5 + 10*T2^6 + 25*T1*T2^6 - 107*T1^2*T2^6 - 
     38*T1^3*T2^6 - 157*T1^4*T2^6 - 47*T1^5*T2^6 - 119*T1^6*T2^6 + 
     279*T1^7*T2^6 - 119*T1^8*T2^6 - 47*T1^9*T2^6 - 157*T1^10*T2^6 - 
     38*T1^11*T2^6 - 107*T1^12*T2^6 + 25*T1^13*T2^6 + 10*T1^14*T2^6 - 
     5*T2^7 - 25*T1*T2^7 + 50*T1^2*T2^7 + 83*T1^3*T2^7 + 197*T1^4*T2^7 - 
     47*T1^5*T2^7 + 279*T1^6*T2^7 - 192*T1^7*T2^7 - 192*T1^8*T2^7 + 
     279*T1^9*T2^7 - 47*T1^10*T2^7 + 197*T1^11*T2^7 + 83*T1^12*T2^7 + 
     50*T1^13*T2^7 - 25*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 - 
     15*T1^2*T2^8 - 40*T1^3*T2^8 - 239*T1^4*T2^8 + 6*T1^5*T2^8 - 
     119*T1^6*T2^8 - 192*T1^7*T2^8 + 444*T1^8*T2^8 - 192*T1^9*T2^8 - 
     119*T1^10*T2^8 + 6*T1^11*T2^8 - 239*T1^12*T2^8 - 40*T1^13*T2^8 - 
     15*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 25*T1^2*T2^9 + 
     50*T1^3*T2^9 + 83*T1^4*T2^9 + 197*T1^5*T2^9 - 47*T1^6*T2^9 + 
     279*T1^7*T2^9 - 192*T1^8*T2^9 - 192*T1^9*T2^9 + 279*T1^10*T2^9 - 
     47*T1^11*T2^9 + 197*T1^12*T2^9 + 83*T1^13*T2^9 + 50*T1^14*T2^9 - 
     25*T1^15*T2^9 - 5*T1^16*T2^9 + 10*T1^2*T2^10 + 25*T1^3*T2^10 - 
     107*T1^4*T2^10 - 38*T1^5*T2^10 - 157*T1^6*T2^10 - 47*T1^7*T2^10 - 
     119*T1^8*T2^10 + 279*T1^9*T2^10 - 119*T1^10*T2^10 - 47*T1^11*T2^10 - 
     157*T1^12*T2^10 - 38*T1^13*T2^10 - 107*T1^14*T2^10 + 25*T1^15*T2^10 + 
     10*T1^16*T2^10 - 15*T1^3*T2^11 - 10*T1^4*T2^11 + 129*T1^5*T2^11 - 
     38*T1^6*T2^11 + 197*T1^7*T2^11 + 6*T1^8*T2^11 - 47*T1^9*T2^11 - 
     47*T1^10*T2^11 + 6*T1^11*T2^11 + 197*T1^12*T2^11 - 38*T1^13*T2^11 + 
     129*T1^14*T2^11 - 10*T1^15*T2^11 - 15*T1^16*T2^11 + 17*T1^4*T2^12 - 
     10*T1^5*T2^12 - 107*T1^6*T2^12 + 83*T1^7*T2^12 - 239*T1^8*T2^12 + 
     197*T1^9*T2^12 - 157*T1^10*T2^12 + 197*T1^11*T2^12 - 239*T1^12*T2^12 + 
     83*T1^13*T2^12 - 107*T1^14*T2^12 - 10*T1^15*T2^12 + 17*T1^16*T2^12 - 
     15*T1^5*T2^13 + 25*T1^6*T2^13 + 50*T1^7*T2^13 - 40*T1^8*T2^13 + 
     83*T1^9*T2^13 - 38*T1^10*T2^13 - 38*T1^11*T2^13 + 83*T1^12*T2^13 - 
     40*T1^13*T2^13 + 50*T1^14*T2^13 + 25*T1^15*T2^13 - 15*T1^16*T2^13 + 
     10*T1^6*T2^14 - 25*T1^7*T2^14 - 15*T1^8*T2^14 + 50*T1^9*T2^14 - 
     107*T1^10*T2^14 + 129*T1^11*T2^14 - 107*T1^12*T2^14 + 50*T1^13*T2^14 - 
     15*T1^14*T2^14 - 25*T1^15*T2^14 + 10*T1^16*T2^14 - 5*T1^7*T2^15 + 
     20*T1^8*T2^15 - 25*T1^9*T2^15 + 25*T1^10*T2^15 - 10*T1^11*T2^15 - 
     10*T1^12*T2^15 + 25*T1^13*T2^15 - 25*T1^14*T2^15 + 20*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)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 222] -> 
  {-((2 - 11*T + 23*T^2 - 29*T^3 + 23*T^4 - 11*T^5 + 2*T^6)/T^3), 
   (1 - 5*T1 + 10*T1^2 - 13*T1^3 + 10*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 25*T1^2*T2 + 15*T1^3*T2 + 15*T1^4*T2 - 25*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 10*T2^2 - 25*T1*T2^2 - 9*T1^2*T2^2 + 
     36*T1^3*T2^2 - 73*T1^4*T2^2 + 36*T1^5*T2^2 - 9*T1^6*T2^2 - 
     25*T1^7*T2^2 + 10*T1^8*T2^2 - 13*T2^3 + 15*T1*T2^3 + 36*T1^2*T2^3 + 
     78*T1^3*T2^3 - 29*T1^4*T2^3 - 29*T1^5*T2^3 + 78*T1^6*T2^3 + 
     36*T1^7*T2^3 + 15*T1^8*T2^3 - 13*T1^9*T2^3 + 10*T2^4 + 15*T1*T2^4 - 
     73*T1^2*T2^4 - 29*T1^3*T2^4 - 700*T1^4*T2^4 + 1096*T1^5*T2^4 - 
     700*T1^6*T2^4 - 29*T1^7*T2^4 - 73*T1^8*T2^4 + 15*T1^9*T2^4 + 
     10*T1^10*T2^4 - 5*T2^5 - 25*T1*T2^5 + 36*T1^2*T2^5 - 29*T1^3*T2^5 + 
     1096*T1^4*T2^5 - 660*T1^5*T2^5 - 660*T1^6*T2^5 + 1096*T1^7*T2^5 - 
     29*T1^8*T2^5 + 36*T1^9*T2^5 - 25*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 - 9*T1^2*T2^6 + 78*T1^3*T2^6 - 700*T1^4*T2^6 - 
     660*T1^5*T2^6 + 1536*T1^6*T2^6 - 660*T1^7*T2^6 - 700*T1^8*T2^6 + 
     78*T1^9*T2^6 - 9*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     25*T1^2*T2^7 + 36*T1^3*T2^7 - 29*T1^4*T2^7 + 1096*T1^5*T2^7 - 
     660*T1^6*T2^7 - 660*T1^7*T2^7 + 1096*T1^8*T2^7 - 29*T1^9*T2^7 + 
     36*T1^10*T2^7 - 25*T1^11*T2^7 - 5*T1^12*T2^7 + 10*T1^2*T2^8 + 
     15*T1^3*T2^8 - 73*T1^4*T2^8 - 29*T1^5*T2^8 - 700*T1^6*T2^8 + 
     1096*T1^7*T2^8 - 700*T1^8*T2^8 - 29*T1^9*T2^8 - 73*T1^10*T2^8 + 
     15*T1^11*T2^8 + 10*T1^12*T2^8 - 13*T1^3*T2^9 + 15*T1^4*T2^9 + 
     36*T1^5*T2^9 + 78*T1^6*T2^9 - 29*T1^7*T2^9 - 29*T1^8*T2^9 + 
     78*T1^9*T2^9 + 36*T1^10*T2^9 + 15*T1^11*T2^9 - 13*T1^12*T2^9 + 
     10*T1^4*T2^10 - 25*T1^5*T2^10 - 9*T1^6*T2^10 + 36*T1^7*T2^10 - 
     73*T1^8*T2^10 + 36*T1^9*T2^10 - 9*T1^10*T2^10 - 25*T1^11*T2^10 + 
     10*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 25*T1^7*T2^11 + 
     15*T1^8*T2^11 + 15*T1^9*T2^11 - 25*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 10*T1^8*T2^12 - 
     13*T1^9*T2^12 + 10*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 223] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(1 - T + T^2 - T^3 + T^4))/T^4), 
   -((3 - 15*T1 + 30*T1^2 - 42*T1^3 + 45*T1^4 - 42*T1^5 + 30*T1^6 - 15*T1^7 + 
      3*T1^8 - 15*T2 + 60*T1*T2 - 75*T1^2*T2 + 60*T1^3*T2 - 15*T1^4*T2 - 
      15*T1^5*T2 + 60*T1^6*T2 - 75*T1^7*T2 + 60*T1^8*T2 - 15*T1^9*T2 + 
      30*T2^2 - 75*T1*T2^2 - 41*T1^2*T2^2 + 174*T1^3*T2^2 - 290*T1^4*T2^2 + 
      275*T1^5*T2^2 - 290*T1^6*T2^2 + 174*T1^7*T2^2 - 41*T1^8*T2^2 - 
      75*T1^9*T2^2 + 30*T1^10*T2^2 - 42*T2^3 + 60*T1*T2^3 + 174*T1^2*T2^3 - 
      218*T1^3*T2^3 + 192*T1^4*T2^3 + 6*T1^5*T2^3 + 6*T1^6*T2^3 + 
      192*T1^7*T2^3 - 218*T1^8*T2^3 + 174*T1^9*T2^3 + 60*T1^10*T2^3 - 
      42*T1^11*T2^3 + 45*T2^4 - 15*T1*T2^4 - 290*T1^2*T2^4 + 192*T1^3*T2^4 - 
      184*T1^4*T2^4 + 45*T1^5*T2^4 - 260*T1^6*T2^4 + 45*T1^7*T2^4 - 
      184*T1^8*T2^4 + 192*T1^9*T2^4 - 290*T1^10*T2^4 - 15*T1^11*T2^4 + 
      45*T1^12*T2^4 - 42*T2^5 - 15*T1*T2^5 + 275*T1^2*T2^5 + 6*T1^3*T2^5 + 
      45*T1^4*T2^5 + 86*T1^5*T2^5 + 175*T1^6*T2^5 + 175*T1^7*T2^5 + 
      86*T1^8*T2^5 + 45*T1^9*T2^5 + 6*T1^10*T2^5 + 275*T1^11*T2^5 - 
      15*T1^12*T2^5 - 42*T1^13*T2^5 + 30*T2^6 + 60*T1*T2^6 - 290*T1^2*T2^6 + 
      6*T1^3*T2^6 - 260*T1^4*T2^6 + 175*T1^5*T2^6 - 459*T1^6*T2^6 + 
      59*T1^7*T2^6 - 459*T1^8*T2^6 + 175*T1^9*T2^6 - 260*T1^10*T2^6 + 
      6*T1^11*T2^6 - 290*T1^12*T2^6 + 60*T1^13*T2^6 + 30*T1^14*T2^6 - 
      15*T2^7 - 75*T1*T2^7 + 174*T1^2*T2^7 + 192*T1^3*T2^7 + 45*T1^4*T2^7 + 
      175*T1^5*T2^7 + 59*T1^6*T2^7 + 278*T1^7*T2^7 + 278*T1^8*T2^7 + 
      59*T1^9*T2^7 + 175*T1^10*T2^7 + 45*T1^11*T2^7 + 192*T1^12*T2^7 + 
      174*T1^13*T2^7 - 75*T1^14*T2^7 - 15*T1^15*T2^7 + 3*T2^8 + 60*T1*T2^8 - 
      41*T1^2*T2^8 - 218*T1^3*T2^8 - 184*T1^4*T2^8 + 86*T1^5*T2^8 - 
      459*T1^6*T2^8 + 278*T1^7*T2^8 - 804*T1^8*T2^8 + 278*T1^9*T2^8 - 
      459*T1^10*T2^8 + 86*T1^11*T2^8 - 184*T1^12*T2^8 - 218*T1^13*T2^8 - 
      41*T1^14*T2^8 + 60*T1^15*T2^8 + 3*T1^16*T2^8 - 15*T1*T2^9 - 
      75*T1^2*T2^9 + 174*T1^3*T2^9 + 192*T1^4*T2^9 + 45*T1^5*T2^9 + 
      175*T1^6*T2^9 + 59*T1^7*T2^9 + 278*T1^8*T2^9 + 278*T1^9*T2^9 + 
      59*T1^10*T2^9 + 175*T1^11*T2^9 + 45*T1^12*T2^9 + 192*T1^13*T2^9 + 
      174*T1^14*T2^9 - 75*T1^15*T2^9 - 15*T1^16*T2^9 + 30*T1^2*T2^10 + 
      60*T1^3*T2^10 - 290*T1^4*T2^10 + 6*T1^5*T2^10 - 260*T1^6*T2^10 + 
      175*T1^7*T2^10 - 459*T1^8*T2^10 + 59*T1^9*T2^10 - 459*T1^10*T2^10 + 
      175*T1^11*T2^10 - 260*T1^12*T2^10 + 6*T1^13*T2^10 - 290*T1^14*T2^10 + 
      60*T1^15*T2^10 + 30*T1^16*T2^10 - 42*T1^3*T2^11 - 15*T1^4*T2^11 + 
      275*T1^5*T2^11 + 6*T1^6*T2^11 + 45*T1^7*T2^11 + 86*T1^8*T2^11 + 
      175*T1^9*T2^11 + 175*T1^10*T2^11 + 86*T1^11*T2^11 + 45*T1^12*T2^11 + 
      6*T1^13*T2^11 + 275*T1^14*T2^11 - 15*T1^15*T2^11 - 42*T1^16*T2^11 + 
      45*T1^4*T2^12 - 15*T1^5*T2^12 - 290*T1^6*T2^12 + 192*T1^7*T2^12 - 
      184*T1^8*T2^12 + 45*T1^9*T2^12 - 260*T1^10*T2^12 + 45*T1^11*T2^12 - 
      184*T1^12*T2^12 + 192*T1^13*T2^12 - 290*T1^14*T2^12 - 15*T1^15*T2^12 + 
      45*T1^16*T2^12 - 42*T1^5*T2^13 + 60*T1^6*T2^13 + 174*T1^7*T2^13 - 
      218*T1^8*T2^13 + 192*T1^9*T2^13 + 6*T1^10*T2^13 + 6*T1^11*T2^13 + 
      192*T1^12*T2^13 - 218*T1^13*T2^13 + 174*T1^14*T2^13 + 60*T1^15*T2^13 - 
      42*T1^16*T2^13 + 30*T1^6*T2^14 - 75*T1^7*T2^14 - 41*T1^8*T2^14 + 
      174*T1^9*T2^14 - 290*T1^10*T2^14 + 275*T1^11*T2^14 - 290*T1^12*T2^14 + 
      174*T1^13*T2^14 - 41*T1^14*T2^14 - 75*T1^15*T2^14 + 30*T1^16*T2^14 - 
      15*T1^7*T2^15 + 60*T1^8*T2^15 - 75*T1^9*T2^15 + 60*T1^10*T2^15 - 
      15*T1^11*T2^15 - 15*T1^12*T2^15 + 60*T1^13*T2^15 - 75*T1^14*T2^15 + 
      60*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)/(T1^8*T2^8))}, 
 Knot[11, Alternating, 224] -> 
  {-((2 - 10*T + 20*T^2 - 25*T^3 + 20*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((17 - 85*T1 + 169*T1^2 - 211*T1^3 + 169*T1^4 - 85*T1^5 + 17*T1^6 - 
      85*T2 + 340*T1*T2 - 420*T1^2*T2 + 210*T1^3*T2 + 210*T1^4*T2 - 
      420*T1^5*T2 + 340*T1^6*T2 - 85*T1^7*T2 + 169*T2^2 - 420*T1*T2^2 - 
      265*T1^2*T2^2 + 1279*T1^3*T2^2 - 1913*T1^4*T2^2 + 1279*T1^5*T2^2 - 
      265*T1^6*T2^2 - 420*T1^7*T2^2 + 169*T1^8*T2^2 - 211*T2^3 + 
      210*T1*T2^3 + 1279*T1^2*T2^3 - 1860*T1^3*T2^3 + 1088*T1^4*T2^3 + 
      1088*T1^5*T2^3 - 1860*T1^6*T2^3 + 1279*T1^7*T2^3 + 210*T1^8*T2^3 - 
      211*T1^9*T2^3 + 169*T2^4 + 210*T1*T2^4 - 1913*T1^2*T2^4 + 
      1088*T1^3*T2^4 + 608*T1^4*T2^4 - 2196*T1^5*T2^4 + 608*T1^6*T2^4 + 
      1088*T1^7*T2^4 - 1913*T1^8*T2^4 + 210*T1^9*T2^4 + 169*T1^10*T2^4 - 
      85*T2^5 - 420*T1*T2^5 + 1279*T1^2*T2^5 + 1088*T1^3*T2^5 - 
      2196*T1^4*T2^5 + 1652*T1^5*T2^5 + 1652*T1^6*T2^5 - 2196*T1^7*T2^5 + 
      1088*T1^8*T2^5 + 1279*T1^9*T2^5 - 420*T1^10*T2^5 - 85*T1^11*T2^5 + 
      17*T2^6 + 340*T1*T2^6 - 265*T1^2*T2^6 - 1860*T1^3*T2^6 + 
      608*T1^4*T2^6 + 1652*T1^5*T2^6 - 3924*T1^6*T2^6 + 1652*T1^7*T2^6 + 
      608*T1^8*T2^6 - 1860*T1^9*T2^6 - 265*T1^10*T2^6 + 340*T1^11*T2^6 + 
      17*T1^12*T2^6 - 85*T1*T2^7 - 420*T1^2*T2^7 + 1279*T1^3*T2^7 + 
      1088*T1^4*T2^7 - 2196*T1^5*T2^7 + 1652*T1^6*T2^7 + 1652*T1^7*T2^7 - 
      2196*T1^8*T2^7 + 1088*T1^9*T2^7 + 1279*T1^10*T2^7 - 420*T1^11*T2^7 - 
      85*T1^12*T2^7 + 169*T1^2*T2^8 + 210*T1^3*T2^8 - 1913*T1^4*T2^8 + 
      1088*T1^5*T2^8 + 608*T1^6*T2^8 - 2196*T1^7*T2^8 + 608*T1^8*T2^8 + 
      1088*T1^9*T2^8 - 1913*T1^10*T2^8 + 210*T1^11*T2^8 + 169*T1^12*T2^8 - 
      211*T1^3*T2^9 + 210*T1^4*T2^9 + 1279*T1^5*T2^9 - 1860*T1^6*T2^9 + 
      1088*T1^7*T2^9 + 1088*T1^8*T2^9 - 1860*T1^9*T2^9 + 1279*T1^10*T2^9 + 
      210*T1^11*T2^9 - 211*T1^12*T2^9 + 169*T1^4*T2^10 - 420*T1^5*T2^10 - 
      265*T1^6*T2^10 + 1279*T1^7*T2^10 - 1913*T1^8*T2^10 + 1279*T1^9*T2^10 - 
      265*T1^10*T2^10 - 420*T1^11*T2^10 + 169*T1^12*T2^10 - 85*T1^5*T2^11 + 
      340*T1^6*T2^11 - 420*T1^7*T2^11 + 210*T1^8*T2^11 + 210*T1^9*T2^11 - 
      420*T1^10*T2^11 + 340*T1^11*T2^11 - 85*T1^12*T2^11 + 17*T1^6*T2^12 - 
      85*T1^7*T2^12 + 169*T1^8*T2^12 - 211*T1^9*T2^12 + 169*T1^10*T2^12 - 
      85*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, Alternating, 225] -> 
  {-((2 - 8*T + 11*T^2 - 11*T^3 + 11*T^4 - 8*T^5 + 2*T^6)/T^3), 
   (15 - 59*T1 + 81*T1^2 - 81*T1^3 + 81*T1^4 - 59*T1^5 + 15*T1^6 - 59*T2 + 
     172*T1*T2 - 86*T1^2*T2 - 86*T1^5*T2 + 172*T1^6*T2 - 59*T1^7*T2 + 
     81*T2^2 - 86*T1*T2^2 - 386*T1^2*T2^2 + 504*T1^3*T2^2 - 398*T1^4*T2^2 + 
     504*T1^5*T2^2 - 386*T1^6*T2^2 - 86*T1^7*T2^2 + 81*T1^8*T2^2 - 81*T2^3 + 
     504*T1^2*T2^3 - 194*T1^3*T2^3 - 70*T1^4*T2^3 - 70*T1^5*T2^3 - 
     194*T1^6*T2^3 + 504*T1^7*T2^3 - 81*T1^9*T2^3 + 81*T2^4 - 398*T1^2*T2^4 - 
     70*T1^3*T2^4 + 129*T1^4*T2^4 + 91*T1^5*T2^4 + 129*T1^6*T2^4 - 
     70*T1^7*T2^4 - 398*T1^8*T2^4 + 81*T1^10*T2^4 - 59*T2^5 - 86*T1*T2^5 + 
     504*T1^2*T2^5 - 70*T1^3*T2^5 + 91*T1^4*T2^5 - 142*T1^5*T2^5 - 
     142*T1^6*T2^5 + 91*T1^7*T2^5 - 70*T1^8*T2^5 + 504*T1^9*T2^5 - 
     86*T1^10*T2^5 - 59*T1^11*T2^5 + 15*T2^6 + 172*T1*T2^6 - 386*T1^2*T2^6 - 
     194*T1^3*T2^6 + 129*T1^4*T2^6 - 142*T1^5*T2^6 + 324*T1^6*T2^6 - 
     142*T1^7*T2^6 + 129*T1^8*T2^6 - 194*T1^9*T2^6 - 386*T1^10*T2^6 + 
     172*T1^11*T2^6 + 15*T1^12*T2^6 - 59*T1*T2^7 - 86*T1^2*T2^7 + 
     504*T1^3*T2^7 - 70*T1^4*T2^7 + 91*T1^5*T2^7 - 142*T1^6*T2^7 - 
     142*T1^7*T2^7 + 91*T1^8*T2^7 - 70*T1^9*T2^7 + 504*T1^10*T2^7 - 
     86*T1^11*T2^7 - 59*T1^12*T2^7 + 81*T1^2*T2^8 - 398*T1^4*T2^8 - 
     70*T1^5*T2^8 + 129*T1^6*T2^8 + 91*T1^7*T2^8 + 129*T1^8*T2^8 - 
     70*T1^9*T2^8 - 398*T1^10*T2^8 + 81*T1^12*T2^8 - 81*T1^3*T2^9 + 
     504*T1^5*T2^9 - 194*T1^6*T2^9 - 70*T1^7*T2^9 - 70*T1^8*T2^9 - 
     194*T1^9*T2^9 + 504*T1^10*T2^9 - 81*T1^12*T2^9 + 81*T1^4*T2^10 - 
     86*T1^5*T2^10 - 386*T1^6*T2^10 + 504*T1^7*T2^10 - 398*T1^8*T2^10 + 
     504*T1^9*T2^10 - 386*T1^10*T2^10 - 86*T1^11*T2^10 + 81*T1^12*T2^10 - 
     59*T1^5*T2^11 + 172*T1^6*T2^11 - 86*T1^7*T2^11 - 86*T1^10*T2^11 + 
     172*T1^11*T2^11 - 59*T1^12*T2^11 + 15*T1^6*T2^12 - 59*T1^7*T2^12 + 
     81*T1^8*T2^12 - 81*T1^9*T2^12 + 81*T1^10*T2^12 - 59*T1^11*T2^12 + 
     15*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, Alternating, 226] -> 
  {-((4 - 18*T + 27*T^2 - 18*T^3 + 4*T^4)/T^2), 
   (64 - 276*T1 + 408*T1^2 - 276*T1^3 + 64*T1^4 - 276*T2 + 906*T1*T2 - 
     564*T1^2*T2 - 564*T1^3*T2 + 906*T1^4*T2 - 276*T1^5*T2 + 408*T2^2 - 
     564*T1*T2^2 - 1995*T1^2*T2^2 + 3851*T1^3*T2^2 - 1995*T1^4*T2^2 - 
     564*T1^5*T2^2 + 408*T1^6*T2^2 - 276*T2^3 - 564*T1*T2^3 + 
     3851*T1^2*T2^3 - 2580*T1^3*T2^3 - 2580*T1^4*T2^3 + 3851*T1^5*T2^3 - 
     564*T1^6*T2^3 - 276*T1^7*T2^3 + 64*T2^4 + 906*T1*T2^4 - 1995*T1^2*T2^4 - 
     2580*T1^3*T2^4 + 6156*T1^4*T2^4 - 2580*T1^5*T2^4 - 1995*T1^6*T2^4 + 
     906*T1^7*T2^4 + 64*T1^8*T2^4 - 276*T1*T2^5 - 564*T1^2*T2^5 + 
     3851*T1^3*T2^5 - 2580*T1^4*T2^5 - 2580*T1^5*T2^5 + 3851*T1^6*T2^5 - 
     564*T1^7*T2^5 - 276*T1^8*T2^5 + 408*T1^2*T2^6 - 564*T1^3*T2^6 - 
     1995*T1^4*T2^6 + 3851*T1^5*T2^6 - 1995*T1^6*T2^6 - 564*T1^7*T2^6 + 
     408*T1^8*T2^6 - 276*T1^3*T2^7 + 906*T1^4*T2^7 - 564*T1^5*T2^7 - 
     564*T1^6*T2^7 + 906*T1^7*T2^7 - 276*T1^8*T2^7 + 64*T1^4*T2^8 - 
     276*T1^5*T2^8 + 408*T1^6*T2^8 - 276*T1^7*T2^8 + 64*T1^8*T2^8)/
    (T1^4*T2^4)}, Knot[11, Alternating, 227] -> 
  {(5 - 17*T + 31*T^2 - 37*T^3 + 31*T^4 - 17*T^5 + 5*T^6)/T^3, 
   (395 - 1305*T1 + 2343*T1^2 - 2779*T1^3 + 2343*T1^4 - 1305*T1^5 + 
     395*T1^6 - 1305*T2 + 3044*T1*T2 - 3503*T1^2*T2 + 1483*T1^3*T2 + 
     1483*T1^4*T2 - 3503*T1^5*T2 + 3044*T1^6*T2 - 1305*T1^7*T2 + 2343*T2^2 - 
     3503*T1*T2^2 + 1832*T1^2*T2^2 + 2056*T1^3*T2^2 - 3582*T1^4*T2^2 + 
     2056*T1^5*T2^2 + 1832*T1^6*T2^2 - 3503*T1^7*T2^2 + 2343*T1^8*T2^2 - 
     2779*T2^3 + 1483*T1*T2^3 + 2056*T1^2*T2^3 - 4882*T1^3*T2^3 + 
     2003*T1^4*T2^3 + 2003*T1^5*T2^3 - 4882*T1^6*T2^3 + 2056*T1^7*T2^3 + 
     1483*T1^8*T2^3 - 2779*T1^9*T2^3 + 2343*T2^4 + 1483*T1*T2^4 - 
     3582*T1^2*T2^4 + 2003*T1^3*T2^4 + 4562*T1^4*T2^4 - 6392*T1^5*T2^4 + 
     4562*T1^6*T2^4 + 2003*T1^7*T2^4 - 3582*T1^8*T2^4 + 1483*T1^9*T2^4 + 
     2343*T1^10*T2^4 - 1305*T2^5 - 3503*T1*T2^5 + 2056*T1^2*T2^5 + 
     2003*T1^3*T2^5 - 6392*T1^4*T2^5 + 2248*T1^5*T2^5 + 2248*T1^6*T2^5 - 
     6392*T1^7*T2^5 + 2003*T1^8*T2^5 + 2056*T1^9*T2^5 - 3503*T1^10*T2^5 - 
     1305*T1^11*T2^5 + 395*T2^6 + 3044*T1*T2^6 + 1832*T1^2*T2^6 - 
     4882*T1^3*T2^6 + 4562*T1^4*T2^6 + 2248*T1^5*T2^6 - 3600*T1^6*T2^6 + 
     2248*T1^7*T2^6 + 4562*T1^8*T2^6 - 4882*T1^9*T2^6 + 1832*T1^10*T2^6 + 
     3044*T1^11*T2^6 + 395*T1^12*T2^6 - 1305*T1*T2^7 - 3503*T1^2*T2^7 + 
     2056*T1^3*T2^7 + 2003*T1^4*T2^7 - 6392*T1^5*T2^7 + 2248*T1^6*T2^7 + 
     2248*T1^7*T2^7 - 6392*T1^8*T2^7 + 2003*T1^9*T2^7 + 2056*T1^10*T2^7 - 
     3503*T1^11*T2^7 - 1305*T1^12*T2^7 + 2343*T1^2*T2^8 + 1483*T1^3*T2^8 - 
     3582*T1^4*T2^8 + 2003*T1^5*T2^8 + 4562*T1^6*T2^8 - 6392*T1^7*T2^8 + 
     4562*T1^8*T2^8 + 2003*T1^9*T2^8 - 3582*T1^10*T2^8 + 1483*T1^11*T2^8 + 
     2343*T1^12*T2^8 - 2779*T1^3*T2^9 + 1483*T1^4*T2^9 + 2056*T1^5*T2^9 - 
     4882*T1^6*T2^9 + 2003*T1^7*T2^9 + 2003*T1^8*T2^9 - 4882*T1^9*T2^9 + 
     2056*T1^10*T2^9 + 1483*T1^11*T2^9 - 2779*T1^12*T2^9 + 2343*T1^4*T2^10 - 
     3503*T1^5*T2^10 + 1832*T1^6*T2^10 + 2056*T1^7*T2^10 - 3582*T1^8*T2^10 + 
     2056*T1^9*T2^10 + 1832*T1^10*T2^10 - 3503*T1^11*T2^10 + 
     2343*T1^12*T2^10 - 1305*T1^5*T2^11 + 3044*T1^6*T2^11 - 3503*T1^7*T2^11 + 
     1483*T1^8*T2^11 + 1483*T1^9*T2^11 - 3503*T1^10*T2^11 + 
     3044*T1^11*T2^11 - 1305*T1^12*T2^11 + 395*T1^6*T2^12 - 1305*T1^7*T2^12 + 
     2343*T1^8*T2^12 - 2779*T1^9*T2^12 + 2343*T1^10*T2^12 - 
     1305*T1^11*T2^12 + 395*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, Alternating, 228] -> 
  {-((1 - 10*T + 32*T^2 - 47*T^3 + 32*T^4 - 10*T^5 + T^6)/T^3), 
   -((T1 - T1^2 - T1^3 + T1^4 + T2 - 17*T1*T2 + 24*T1^2*T2 - 13*T1^3*T2 + 
      24*T1^4*T2 - 17*T1^5*T2 + T1^6*T2 - T2^2 + 24*T1*T2^2 + 48*T1^2*T2^2 - 
      91*T1^3*T2^2 - 91*T1^4*T2^2 + 48*T1^5*T2^2 + 24*T1^6*T2^2 - T1^7*T2^2 - 
      T2^3 - 13*T1*T2^3 - 91*T1^2*T2^3 - 266*T1^3*T2^3 + 942*T1^4*T2^3 - 
      266*T1^5*T2^3 - 91*T1^6*T2^3 - 13*T1^7*T2^3 - T1^8*T2^3 + T2^4 + 
      24*T1*T2^4 - 91*T1^2*T2^4 + 942*T1^3*T2^4 - 1122*T1^4*T2^4 - 
      1122*T1^5*T2^4 + 942*T1^6*T2^4 - 91*T1^7*T2^4 + 24*T1^8*T2^4 + 
      T1^9*T2^4 - 17*T1*T2^5 + 48*T1^2*T2^5 - 266*T1^3*T2^5 - 
      1122*T1^4*T2^5 + 3372*T1^5*T2^5 - 1122*T1^6*T2^5 - 266*T1^7*T2^5 + 
      48*T1^8*T2^5 - 17*T1^9*T2^5 + T1*T2^6 + 24*T1^2*T2^6 - 91*T1^3*T2^6 + 
      942*T1^4*T2^6 - 1122*T1^5*T2^6 - 1122*T1^6*T2^6 + 942*T1^7*T2^6 - 
      91*T1^8*T2^6 + 24*T1^9*T2^6 + T1^10*T2^6 - T1^2*T2^7 - 13*T1^3*T2^7 - 
      91*T1^4*T2^7 - 266*T1^5*T2^7 + 942*T1^6*T2^7 - 266*T1^7*T2^7 - 
      91*T1^8*T2^7 - 13*T1^9*T2^7 - T1^10*T2^7 - T1^3*T2^8 + 24*T1^4*T2^8 + 
      48*T1^5*T2^8 - 91*T1^6*T2^8 - 91*T1^7*T2^8 + 48*T1^8*T2^8 + 
      24*T1^9*T2^8 - T1^10*T2^8 + T1^4*T2^9 - 17*T1^5*T2^9 + 24*T1^6*T2^9 - 
      13*T1^7*T2^9 + 24*T1^8*T2^9 - 17*T1^9*T2^9 + T1^10*T2^9 + T1^6*T2^10 - 
      T1^7*T2^10 - T1^8*T2^10 + T1^9*T2^10)/(T1^5*T2^5))}, 
 Knot[11, Alternating, 229] -> {-((4 - 18*T + 27*T^2 - 18*T^3 + 4*T^4)/T^2), 
   -((80 - 364*T1 + 544*T1^2 - 364*T1^3 + 80*T1^4 - 364*T2 + 1294*T1*T2 - 
      820*T1^2*T2 - 820*T1^3*T2 + 1294*T1^4*T2 - 364*T1^5*T2 + 544*T2^2 - 
      820*T1*T2^2 - 3255*T1^2*T2^2 + 6253*T1^3*T2^2 - 3255*T1^4*T2^2 - 
      820*T1^5*T2^2 + 544*T1^6*T2^2 - 364*T2^3 - 820*T1*T2^3 + 
      6253*T1^2*T2^3 - 4256*T1^3*T2^3 - 4256*T1^4*T2^3 + 6253*T1^5*T2^3 - 
      820*T1^6*T2^3 - 364*T1^7*T2^3 + 80*T2^4 + 1294*T1*T2^4 - 
      3255*T1^2*T2^4 - 4256*T1^3*T2^4 + 10248*T1^4*T2^4 - 4256*T1^5*T2^4 - 
      3255*T1^6*T2^4 + 1294*T1^7*T2^4 + 80*T1^8*T2^4 - 364*T1*T2^5 - 
      820*T1^2*T2^5 + 6253*T1^3*T2^5 - 4256*T1^4*T2^5 - 4256*T1^5*T2^5 + 
      6253*T1^6*T2^5 - 820*T1^7*T2^5 - 364*T1^8*T2^5 + 544*T1^2*T2^6 - 
      820*T1^3*T2^6 - 3255*T1^4*T2^6 + 6253*T1^5*T2^6 - 3255*T1^6*T2^6 - 
      820*T1^7*T2^6 + 544*T1^8*T2^6 - 364*T1^3*T2^7 + 1294*T1^4*T2^7 - 
      820*T1^5*T2^7 - 820*T1^6*T2^7 + 1294*T1^7*T2^7 - 364*T1^8*T2^7 + 
      80*T1^4*T2^8 - 364*T1^5*T2^8 + 544*T1^6*T2^8 - 364*T1^7*T2^8 + 
      80*T1^8*T2^8)/(T1^4*T2^4))}, Knot[11, Alternating, 230] -> 
  {-((3 - 13*T + 19*T^2 - 13*T^3 + 3*T^4)/T^2), 
   (-2*(18 - 79*T1 + 115*T1^2 - 79*T1^3 + 18*T1^4 - 79*T2 + 268*T1*T2 - 
      158*T1^2*T2 - 158*T1^3*T2 + 268*T1^4*T2 - 79*T1^5*T2 + 115*T2^2 - 
      158*T1*T2^2 - 658*T1^2*T2^2 + 1186*T1^3*T2^2 - 658*T1^4*T2^2 - 
      158*T1^5*T2^2 + 115*T1^6*T2^2 - 79*T2^3 - 158*T1*T2^3 + 
      1186*T1^2*T2^3 - 742*T1^3*T2^3 - 742*T1^4*T2^3 + 1186*T1^5*T2^3 - 
      158*T1^6*T2^3 - 79*T1^7*T2^3 + 18*T2^4 + 268*T1*T2^4 - 658*T1^2*T2^4 - 
      742*T1^3*T2^4 + 1722*T1^4*T2^4 - 742*T1^5*T2^4 - 658*T1^6*T2^4 + 
      268*T1^7*T2^4 + 18*T1^8*T2^4 - 79*T1*T2^5 - 158*T1^2*T2^5 + 
      1186*T1^3*T2^5 - 742*T1^4*T2^5 - 742*T1^5*T2^5 + 1186*T1^6*T2^5 - 
      158*T1^7*T2^5 - 79*T1^8*T2^5 + 115*T1^2*T2^6 - 158*T1^3*T2^6 - 
      658*T1^4*T2^6 + 1186*T1^5*T2^6 - 658*T1^6*T2^6 - 158*T1^7*T2^6 + 
      115*T1^8*T2^6 - 79*T1^3*T2^7 + 268*T1^4*T2^7 - 158*T1^5*T2^7 - 
      158*T1^6*T2^7 + 268*T1^7*T2^7 - 79*T1^8*T2^7 + 18*T1^4*T2^8 - 
      79*T1^5*T2^8 + 115*T1^6*T2^8 - 79*T1^7*T2^8 + 18*T1^8*T2^8))/
    (T1^4*T2^4)}, 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)*
     (1 - 4*T1 + 7*T1^2 - 9*T1^3 + 7*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 12*T1*T2 - 
      12*T1^2*T2 + 8*T1^3*T2 + 8*T1^4*T2 - 12*T1^5*T2 + 12*T1^6*T2 - 
      4*T1^7*T2 + 7*T2^2 - 12*T1*T2^2 - 8*T1^2*T2^2 + 25*T1^3*T2^2 - 
      52*T1^4*T2^2 + 25*T1^5*T2^2 - 8*T1^6*T2^2 - 12*T1^7*T2^2 + 
      7*T1^8*T2^2 - 9*T2^3 + 8*T1*T2^3 + 25*T1^2*T2^3 - 32*T1^3*T2^3 + 
      37*T1^4*T2^3 + 37*T1^5*T2^3 - 32*T1^6*T2^3 + 25*T1^7*T2^3 + 
      8*T1^8*T2^3 - 9*T1^9*T2^3 + 7*T2^4 + 8*T1*T2^4 - 52*T1^2*T2^4 + 
      37*T1^3*T2^4 - 6*T1^4*T2^4 - 68*T1^5*T2^4 - 6*T1^6*T2^4 + 
      37*T1^7*T2^4 - 52*T1^8*T2^4 + 8*T1^9*T2^4 + 7*T1^10*T2^4 - 4*T2^5 - 
      12*T1*T2^5 + 25*T1^2*T2^5 + 37*T1^3*T2^5 - 68*T1^4*T2^5 + 
      66*T1^5*T2^5 + 66*T1^6*T2^5 - 68*T1^7*T2^5 + 37*T1^8*T2^5 + 
      25*T1^9*T2^5 - 12*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 12*T1*T2^6 - 
      8*T1^2*T2^6 - 32*T1^3*T2^6 - 6*T1^4*T2^6 + 66*T1^5*T2^6 - 
      156*T1^6*T2^6 + 66*T1^7*T2^6 - 6*T1^8*T2^6 - 32*T1^9*T2^6 - 
      8*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 12*T1^2*T2^7 + 
      25*T1^3*T2^7 + 37*T1^4*T2^7 - 68*T1^5*T2^7 + 66*T1^6*T2^7 + 
      66*T1^7*T2^7 - 68*T1^8*T2^7 + 37*T1^9*T2^7 + 25*T1^10*T2^7 - 
      12*T1^11*T2^7 - 4*T1^12*T2^7 + 7*T1^2*T2^8 + 8*T1^3*T2^8 - 
      52*T1^4*T2^8 + 37*T1^5*T2^8 - 6*T1^6*T2^8 - 68*T1^7*T2^8 - 
      6*T1^8*T2^8 + 37*T1^9*T2^8 - 52*T1^10*T2^8 + 8*T1^11*T2^8 + 
      7*T1^12*T2^8 - 9*T1^3*T2^9 + 8*T1^4*T2^9 + 25*T1^5*T2^9 - 
      32*T1^6*T2^9 + 37*T1^7*T2^9 + 37*T1^8*T2^9 - 32*T1^9*T2^9 + 
      25*T1^10*T2^9 + 8*T1^11*T2^9 - 9*T1^12*T2^9 + 7*T1^4*T2^10 - 
      12*T1^5*T2^10 - 8*T1^6*T2^10 + 25*T1^7*T2^10 - 52*T1^8*T2^10 + 
      25*T1^9*T2^10 - 8*T1^10*T2^10 - 12*T1^11*T2^10 + 7*T1^12*T2^10 - 
      4*T1^5*T2^11 + 12*T1^6*T2^11 - 12*T1^7*T2^11 + 8*T1^8*T2^11 + 
      8*T1^9*T2^11 - 12*T1^10*T2^11 + 12*T1^11*T2^11 - 4*T1^12*T2^11 + 
      T1^6*T2^12 - 4*T1^7*T2^12 + 7*T1^8*T2^12 - 9*T1^9*T2^12 + 
      7*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12))/(T1^8*T2^8)}, 
 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), 
   (1 - 5*T1 + 14*T1^2 - 26*T1^3 + 31*T1^4 - 26*T1^5 + 14*T1^6 - 5*T1^7 + 
     T1^8 - 5*T2 + 20*T1*T2 - 45*T1^2*T2 + 60*T1^3*T2 - 25*T1^4*T2 - 
     25*T1^5*T2 + 60*T1^6*T2 - 45*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
     14*T2^2 - 45*T1*T2^2 + 83*T1^2*T2^2 - 74*T1^3*T2^2 - 42*T1^4*T2^2 + 
     79*T1^5*T2^2 - 42*T1^6*T2^2 - 74*T1^7*T2^2 + 83*T1^8*T2^2 - 
     45*T1^9*T2^2 + 14*T1^10*T2^2 - 26*T2^3 + 60*T1*T2^3 - 74*T1^2*T2^3 - 
     18*T1^3*T2^3 + 218*T1^4*T2^3 - 82*T1^5*T2^3 - 82*T1^6*T2^3 + 
     218*T1^7*T2^3 - 18*T1^8*T2^3 - 74*T1^9*T2^3 + 60*T1^10*T2^3 - 
     26*T1^11*T2^3 + 31*T2^4 - 25*T1*T2^4 - 42*T1^2*T2^4 + 218*T1^3*T2^4 - 
     312*T1^4*T2^4 - 235*T1^5*T2^4 + 374*T1^6*T2^4 - 235*T1^7*T2^4 - 
     312*T1^8*T2^4 + 218*T1^9*T2^4 - 42*T1^10*T2^4 - 25*T1^11*T2^4 + 
     31*T1^12*T2^4 - 26*T2^5 - 25*T1*T2^5 + 79*T1^2*T2^5 - 82*T1^3*T2^5 - 
     235*T1^4*T2^5 + 986*T1^5*T2^5 - 387*T1^6*T2^5 - 387*T1^7*T2^5 + 
     986*T1^8*T2^5 - 235*T1^9*T2^5 - 82*T1^10*T2^5 + 79*T1^11*T2^5 - 
     25*T1^12*T2^5 - 26*T1^13*T2^5 + 14*T2^6 + 60*T1*T2^6 - 42*T1^2*T2^6 - 
     82*T1^3*T2^6 + 374*T1^4*T2^6 - 387*T1^5*T2^6 - 1285*T1^6*T2^6 + 
     1831*T1^7*T2^6 - 1285*T1^8*T2^6 - 387*T1^9*T2^6 + 374*T1^10*T2^6 - 
     82*T1^11*T2^6 - 42*T1^12*T2^6 + 60*T1^13*T2^6 + 14*T1^14*T2^6 - 5*T2^7 - 
     45*T1*T2^7 - 74*T1^2*T2^7 + 218*T1^3*T2^7 - 235*T1^4*T2^7 - 
     387*T1^5*T2^7 + 1831*T1^6*T2^7 - 794*T1^7*T2^7 - 794*T1^8*T2^7 + 
     1831*T1^9*T2^7 - 387*T1^10*T2^7 - 235*T1^11*T2^7 + 218*T1^12*T2^7 - 
     74*T1^13*T2^7 - 45*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 
     83*T1^2*T2^8 - 18*T1^3*T2^8 - 312*T1^4*T2^8 + 986*T1^5*T2^8 - 
     1285*T1^6*T2^8 - 794*T1^7*T2^8 + 1572*T1^8*T2^8 - 794*T1^9*T2^8 - 
     1285*T1^10*T2^8 + 986*T1^11*T2^8 - 312*T1^12*T2^8 - 18*T1^13*T2^8 + 
     83*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 45*T1^2*T2^9 - 
     74*T1^3*T2^9 + 218*T1^4*T2^9 - 235*T1^5*T2^9 - 387*T1^6*T2^9 + 
     1831*T1^7*T2^9 - 794*T1^8*T2^9 - 794*T1^9*T2^9 + 1831*T1^10*T2^9 - 
     387*T1^11*T2^9 - 235*T1^12*T2^9 + 218*T1^13*T2^9 - 74*T1^14*T2^9 - 
     45*T1^15*T2^9 - 5*T1^16*T2^9 + 14*T1^2*T2^10 + 60*T1^3*T2^10 - 
     42*T1^4*T2^10 - 82*T1^5*T2^10 + 374*T1^6*T2^10 - 387*T1^7*T2^10 - 
     1285*T1^8*T2^10 + 1831*T1^9*T2^10 - 1285*T1^10*T2^10 - 387*T1^11*T2^10 + 
     374*T1^12*T2^10 - 82*T1^13*T2^10 - 42*T1^14*T2^10 + 60*T1^15*T2^10 + 
     14*T1^16*T2^10 - 26*T1^3*T2^11 - 25*T1^4*T2^11 + 79*T1^5*T2^11 - 
     82*T1^6*T2^11 - 235*T1^7*T2^11 + 986*T1^8*T2^11 - 387*T1^9*T2^11 - 
     387*T1^10*T2^11 + 986*T1^11*T2^11 - 235*T1^12*T2^11 - 82*T1^13*T2^11 + 
     79*T1^14*T2^11 - 25*T1^15*T2^11 - 26*T1^16*T2^11 + 31*T1^4*T2^12 - 
     25*T1^5*T2^12 - 42*T1^6*T2^12 + 218*T1^7*T2^12 - 312*T1^8*T2^12 - 
     235*T1^9*T2^12 + 374*T1^10*T2^12 - 235*T1^11*T2^12 - 312*T1^12*T2^12 + 
     218*T1^13*T2^12 - 42*T1^14*T2^12 - 25*T1^15*T2^12 + 31*T1^16*T2^12 - 
     26*T1^5*T2^13 + 60*T1^6*T2^13 - 74*T1^7*T2^13 - 18*T1^8*T2^13 + 
     218*T1^9*T2^13 - 82*T1^10*T2^13 - 82*T1^11*T2^13 + 218*T1^12*T2^13 - 
     18*T1^13*T2^13 - 74*T1^14*T2^13 + 60*T1^15*T2^13 - 26*T1^16*T2^13 + 
     14*T1^6*T2^14 - 45*T1^7*T2^14 + 83*T1^8*T2^14 - 74*T1^9*T2^14 - 
     42*T1^10*T2^14 + 79*T1^11*T2^14 - 42*T1^12*T2^14 - 74*T1^13*T2^14 + 
     83*T1^14*T2^14 - 45*T1^15*T2^14 + 14*T1^16*T2^14 - 5*T1^7*T2^15 + 
     20*T1^8*T2^15 - 45*T1^9*T2^15 + 60*T1^10*T2^15 - 25*T1^11*T2^15 - 
     25*T1^12*T2^15 + 60*T1^13*T2^15 - 45*T1^14*T2^15 + 20*T1^15*T2^15 - 
     5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 14*T1^10*T2^16 - 
     26*T1^11*T2^16 + 31*T1^12*T2^16 - 26*T1^13*T2^16 + 14*T1^14*T2^16 - 
     5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 
   (2 - 8*T1 + 18*T1^2 - 22*T1^3 + 18*T1^4 - 8*T1^5 + 2*T1^6 - 8*T2 + 
     22*T1*T2 - 37*T1^2*T2 + 13*T1^3*T2 + 13*T1^4*T2 - 37*T1^5*T2 + 
     22*T1^6*T2 - 8*T1^7*T2 + 18*T2^2 - 37*T1*T2^2 + 68*T1^2*T2^2 - 
     28*T1^3*T2^2 + 56*T1^4*T2^2 - 28*T1^5*T2^2 + 68*T1^6*T2^2 - 
     37*T1^7*T2^2 + 18*T1^8*T2^2 - 22*T2^3 + 13*T1*T2^3 - 28*T1^2*T2^3 - 
     58*T1^3*T2^3 - 58*T1^4*T2^3 - 58*T1^5*T2^3 - 58*T1^6*T2^3 - 
     28*T1^7*T2^3 + 13*T1^8*T2^3 - 22*T1^9*T2^3 + 18*T2^4 + 13*T1*T2^4 + 
     56*T1^2*T2^4 - 58*T1^3*T2^4 + 348*T1^4*T2^4 - 86*T1^5*T2^4 + 
     348*T1^6*T2^4 - 58*T1^7*T2^4 + 56*T1^8*T2^4 + 13*T1^9*T2^4 + 
     18*T1^10*T2^4 - 8*T2^5 - 37*T1*T2^5 - 28*T1^2*T2^5 - 58*T1^3*T2^5 - 
     86*T1^4*T2^5 - 312*T1^5*T2^5 - 312*T1^6*T2^5 - 86*T1^7*T2^5 - 
     58*T1^8*T2^5 - 28*T1^9*T2^5 - 37*T1^10*T2^5 - 8*T1^11*T2^5 + 2*T2^6 + 
     22*T1*T2^6 + 68*T1^2*T2^6 - 58*T1^3*T2^6 + 348*T1^4*T2^6 - 
     312*T1^5*T2^6 + 1092*T1^6*T2^6 - 312*T1^7*T2^6 + 348*T1^8*T2^6 - 
     58*T1^9*T2^6 + 68*T1^10*T2^6 + 22*T1^11*T2^6 + 2*T1^12*T2^6 - 
     8*T1*T2^7 - 37*T1^2*T2^7 - 28*T1^3*T2^7 - 58*T1^4*T2^7 - 86*T1^5*T2^7 - 
     312*T1^6*T2^7 - 312*T1^7*T2^7 - 86*T1^8*T2^7 - 58*T1^9*T2^7 - 
     28*T1^10*T2^7 - 37*T1^11*T2^7 - 8*T1^12*T2^7 + 18*T1^2*T2^8 + 
     13*T1^3*T2^8 + 56*T1^4*T2^8 - 58*T1^5*T2^8 + 348*T1^6*T2^8 - 
     86*T1^7*T2^8 + 348*T1^8*T2^8 - 58*T1^9*T2^8 + 56*T1^10*T2^8 + 
     13*T1^11*T2^8 + 18*T1^12*T2^8 - 22*T1^3*T2^9 + 13*T1^4*T2^9 - 
     28*T1^5*T2^9 - 58*T1^6*T2^9 - 58*T1^7*T2^9 - 58*T1^8*T2^9 - 
     58*T1^9*T2^9 - 28*T1^10*T2^9 + 13*T1^11*T2^9 - 22*T1^12*T2^9 + 
     18*T1^4*T2^10 - 37*T1^5*T2^10 + 68*T1^6*T2^10 - 28*T1^7*T2^10 + 
     56*T1^8*T2^10 - 28*T1^9*T2^10 + 68*T1^10*T2^10 - 37*T1^11*T2^10 + 
     18*T1^12*T2^10 - 8*T1^5*T2^11 + 22*T1^6*T2^11 - 37*T1^7*T2^11 + 
     13*T1^8*T2^11 + 13*T1^9*T2^11 - 37*T1^10*T2^11 + 22*T1^11*T2^11 - 
     8*T1^12*T2^11 + 2*T1^6*T2^12 - 8*T1^7*T2^12 + 18*T1^8*T2^12 - 
     22*T1^9*T2^12 + 18*T1^10*T2^12 - 8*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   (33 - 65*T1 + 81*T1^2 - 81*T1^3 + 81*T1^4 - 81*T1^5 + 81*T1^6 - 65*T1^7 + 
     33*T1^8 - 65*T2 + 64*T1*T2 - 32*T1^2*T2 - 32*T1^7*T2 + 64*T1^8*T2 - 
     65*T1^9*T2 + 81*T2^2 - 32*T1*T2^2 + 16*T1^2*T2^2 - 24*T1^3*T2^2 + 
     60*T1^4*T2^2 - 60*T1^5*T2^2 + 60*T1^6*T2^2 - 24*T1^7*T2^2 + 
     16*T1^8*T2^2 - 32*T1^9*T2^2 + 81*T1^10*T2^2 - 81*T2^3 - 24*T1^2*T2^3 + 
     24*T1^3*T2^3 - 32*T1^4*T2^3 - 32*T1^7*T2^3 + 24*T1^8*T2^3 - 
     24*T1^9*T2^3 - 81*T1^11*T2^3 + 81*T2^4 + 60*T1^2*T2^4 - 32*T1^3*T2^4 + 
     46*T1^4*T2^4 - 34*T1^5*T2^4 + 60*T1^6*T2^4 - 34*T1^7*T2^4 + 
     46*T1^8*T2^4 - 32*T1^9*T2^4 + 60*T1^10*T2^4 + 81*T1^12*T2^4 - 81*T2^5 - 
     60*T1^2*T2^5 - 34*T1^4*T2^5 + 14*T1^5*T2^5 - 22*T1^6*T2^5 - 
     22*T1^7*T2^5 + 14*T1^8*T2^5 - 34*T1^9*T2^5 - 60*T1^11*T2^5 - 
     81*T1^13*T2^5 + 81*T2^6 + 60*T1^2*T2^6 + 60*T1^4*T2^6 - 22*T1^5*T2^6 + 
     31*T1^6*T2^6 - 3*T1^7*T2^6 + 31*T1^8*T2^6 - 22*T1^9*T2^6 + 
     60*T1^10*T2^6 + 60*T1^12*T2^6 + 81*T1^14*T2^6 - 65*T2^7 - 32*T1*T2^7 - 
     24*T1^2*T2^7 - 32*T1^3*T2^7 - 34*T1^4*T2^7 - 22*T1^5*T2^7 - 
     3*T1^6*T2^7 - 14*T1^7*T2^7 - 14*T1^8*T2^7 - 3*T1^9*T2^7 - 
     22*T1^10*T2^7 - 34*T1^11*T2^7 - 32*T1^12*T2^7 - 24*T1^13*T2^7 - 
     32*T1^14*T2^7 - 65*T1^15*T2^7 + 33*T2^8 + 64*T1*T2^8 + 16*T1^2*T2^8 + 
     24*T1^3*T2^8 + 46*T1^4*T2^8 + 14*T1^5*T2^8 + 31*T1^6*T2^8 - 
     14*T1^7*T2^8 + 36*T1^8*T2^8 - 14*T1^9*T2^8 + 31*T1^10*T2^8 + 
     14*T1^11*T2^8 + 46*T1^12*T2^8 + 24*T1^13*T2^8 + 16*T1^14*T2^8 + 
     64*T1^15*T2^8 + 33*T1^16*T2^8 - 65*T1*T2^9 - 32*T1^2*T2^9 - 
     24*T1^3*T2^9 - 32*T1^4*T2^9 - 34*T1^5*T2^9 - 22*T1^6*T2^9 - 
     3*T1^7*T2^9 - 14*T1^8*T2^9 - 14*T1^9*T2^9 - 3*T1^10*T2^9 - 
     22*T1^11*T2^9 - 34*T1^12*T2^9 - 32*T1^13*T2^9 - 24*T1^14*T2^9 - 
     32*T1^15*T2^9 - 65*T1^16*T2^9 + 81*T1^2*T2^10 + 60*T1^4*T2^10 + 
     60*T1^6*T2^10 - 22*T1^7*T2^10 + 31*T1^8*T2^10 - 3*T1^9*T2^10 + 
     31*T1^10*T2^10 - 22*T1^11*T2^10 + 60*T1^12*T2^10 + 60*T1^14*T2^10 + 
     81*T1^16*T2^10 - 81*T1^3*T2^11 - 60*T1^5*T2^11 - 34*T1^7*T2^11 + 
     14*T1^8*T2^11 - 22*T1^9*T2^11 - 22*T1^10*T2^11 + 14*T1^11*T2^11 - 
     34*T1^12*T2^11 - 60*T1^14*T2^11 - 81*T1^16*T2^11 + 81*T1^4*T2^12 + 
     60*T1^6*T2^12 - 32*T1^7*T2^12 + 46*T1^8*T2^12 - 34*T1^9*T2^12 + 
     60*T1^10*T2^12 - 34*T1^11*T2^12 + 46*T1^12*T2^12 - 32*T1^13*T2^12 + 
     60*T1^14*T2^12 + 81*T1^16*T2^12 - 81*T1^5*T2^13 - 24*T1^7*T2^13 + 
     24*T1^8*T2^13 - 32*T1^9*T2^13 - 32*T1^12*T2^13 + 24*T1^13*T2^13 - 
     24*T1^14*T2^13 - 81*T1^16*T2^13 + 81*T1^6*T2^14 - 32*T1^7*T2^14 + 
     16*T1^8*T2^14 - 24*T1^9*T2^14 + 60*T1^10*T2^14 - 60*T1^11*T2^14 + 
     60*T1^12*T2^14 - 24*T1^13*T2^14 + 16*T1^14*T2^14 - 32*T1^15*T2^14 + 
     81*T1^16*T2^14 - 65*T1^7*T2^15 + 64*T1^8*T2^15 - 32*T1^9*T2^15 - 
     32*T1^14*T2^15 + 64*T1^15*T2^15 - 65*T1^16*T2^15 + 33*T1^8*T2^16 - 
     65*T1^9*T2^16 + 81*T1^10*T2^16 - 81*T1^11*T2^16 + 81*T1^12*T2^16 - 
     81*T1^13*T2^16 + 81*T1^14*T2^16 - 65*T1^15*T2^16 + 33*T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[11, Alternating, 235] -> 
  {(4 - 10*T + 14*T^2 - 15*T^3 + 14*T^4 - 10*T^5 + 4*T^6)/T^3, 
   (208 - 508*T1 + 704*T1^2 - 752*T1^3 + 704*T1^4 - 508*T1^5 + 208*T1^6 - 
     508*T2 + 742*T1*T2 - 488*T1^2*T2 + 120*T1^3*T2 + 120*T1^4*T2 - 
     488*T1^5*T2 + 742*T1^6*T2 - 508*T1^7*T2 + 704*T2^2 - 488*T1*T2^2 - 
     39*T1^2*T2^2 + 153*T1^3*T2^2 + 13*T1^4*T2^2 + 153*T1^5*T2^2 - 
     39*T1^6*T2^2 - 488*T1^7*T2^2 + 704*T1^8*T2^2 - 752*T2^3 + 120*T1*T2^3 + 
     153*T1^2*T2^3 + 70*T1^3*T2^3 - 190*T1^4*T2^3 - 190*T1^5*T2^3 + 
     70*T1^6*T2^3 + 153*T1^7*T2^3 + 120*T1^8*T2^3 - 752*T1^9*T2^3 + 
     704*T2^4 + 120*T1*T2^4 + 13*T1^2*T2^4 - 190*T1^3*T2^4 + 103*T1^4*T2^4 + 
     211*T1^5*T2^4 + 103*T1^6*T2^4 - 190*T1^7*T2^4 + 13*T1^8*T2^4 + 
     120*T1^9*T2^4 + 704*T1^10*T2^4 - 508*T2^5 - 488*T1*T2^5 + 
     153*T1^2*T2^5 - 190*T1^3*T2^5 + 211*T1^4*T2^5 - 220*T1^5*T2^5 - 
     220*T1^6*T2^5 + 211*T1^7*T2^5 - 190*T1^8*T2^5 + 153*T1^9*T2^5 - 
     488*T1^10*T2^5 - 508*T1^11*T2^5 + 208*T2^6 + 742*T1*T2^6 - 
     39*T1^2*T2^6 + 70*T1^3*T2^6 + 103*T1^4*T2^6 - 220*T1^5*T2^6 + 
     492*T1^6*T2^6 - 220*T1^7*T2^6 + 103*T1^8*T2^6 + 70*T1^9*T2^6 - 
     39*T1^10*T2^6 + 742*T1^11*T2^6 + 208*T1^12*T2^6 - 508*T1*T2^7 - 
     488*T1^2*T2^7 + 153*T1^3*T2^7 - 190*T1^4*T2^7 + 211*T1^5*T2^7 - 
     220*T1^6*T2^7 - 220*T1^7*T2^7 + 211*T1^8*T2^7 - 190*T1^9*T2^7 + 
     153*T1^10*T2^7 - 488*T1^11*T2^7 - 508*T1^12*T2^7 + 704*T1^2*T2^8 + 
     120*T1^3*T2^8 + 13*T1^4*T2^8 - 190*T1^5*T2^8 + 103*T1^6*T2^8 + 
     211*T1^7*T2^8 + 103*T1^8*T2^8 - 190*T1^9*T2^8 + 13*T1^10*T2^8 + 
     120*T1^11*T2^8 + 704*T1^12*T2^8 - 752*T1^3*T2^9 + 120*T1^4*T2^9 + 
     153*T1^5*T2^9 + 70*T1^6*T2^9 - 190*T1^7*T2^9 - 190*T1^8*T2^9 + 
     70*T1^9*T2^9 + 153*T1^10*T2^9 + 120*T1^11*T2^9 - 752*T1^12*T2^9 + 
     704*T1^4*T2^10 - 488*T1^5*T2^10 - 39*T1^6*T2^10 + 153*T1^7*T2^10 + 
     13*T1^8*T2^10 + 153*T1^9*T2^10 - 39*T1^10*T2^10 - 488*T1^11*T2^10 + 
     704*T1^12*T2^10 - 508*T1^5*T2^11 + 742*T1^6*T2^11 - 488*T1^7*T2^11 + 
     120*T1^8*T2^11 + 120*T1^9*T2^11 - 488*T1^10*T2^11 + 742*T1^11*T2^11 - 
     508*T1^12*T2^11 + 208*T1^6*T2^12 - 508*T1^7*T2^12 + 704*T1^8*T2^12 - 
     752*T1^9*T2^12 + 704*T1^10*T2^12 - 508*T1^11*T2^12 + 208*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 236] -> 
  {((1 - T + T^2)*(4 - 8*T + 9*T^2 - 8*T^3 + 4*T^4))/T^3, 
   (208 - 608*T1 + 1052*T1^2 - 1248*T1^3 + 1052*T1^4 - 608*T1^5 + 208*T1^6 - 
     608*T2 + 1184*T1*T2 - 1320*T1^2*T2 + 584*T1^3*T2 + 584*T1^4*T2 - 
     1320*T1^5*T2 + 1184*T1^6*T2 - 608*T1^7*T2 + 1052*T2^2 - 1320*T1*T2^2 + 
     1056*T1^2*T2^2 - 60*T1^3*T2^2 - 472*T1^4*T2^2 - 60*T1^5*T2^2 + 
     1056*T1^6*T2^2 - 1320*T1^7*T2^2 + 1052*T1^8*T2^2 - 1248*T2^3 + 
     584*T1*T2^3 - 60*T1^2*T2^3 - 812*T1^3*T2^3 + 480*T1^4*T2^3 + 
     480*T1^5*T2^3 - 812*T1^6*T2^3 - 60*T1^7*T2^3 + 584*T1^8*T2^3 - 
     1248*T1^9*T2^3 + 1052*T2^4 + 584*T1*T2^4 - 472*T1^2*T2^4 + 
     480*T1^3*T2^4 + 923*T1^4*T2^4 - 1651*T1^5*T2^4 + 923*T1^6*T2^4 + 
     480*T1^7*T2^4 - 472*T1^8*T2^4 + 584*T1^9*T2^4 + 1052*T1^10*T2^4 - 
     608*T2^5 - 1320*T1*T2^5 - 60*T1^2*T2^5 + 480*T1^3*T2^5 - 
     1651*T1^4*T2^5 + 844*T1^5*T2^5 + 844*T1^6*T2^5 - 1651*T1^7*T2^5 + 
     480*T1^8*T2^5 - 60*T1^9*T2^5 - 1320*T1^10*T2^5 - 608*T1^11*T2^5 + 
     208*T2^6 + 1184*T1*T2^6 + 1056*T1^2*T2^6 - 812*T1^3*T2^6 + 
     923*T1^4*T2^6 + 844*T1^5*T2^6 - 1728*T1^6*T2^6 + 844*T1^7*T2^6 + 
     923*T1^8*T2^6 - 812*T1^9*T2^6 + 1056*T1^10*T2^6 + 1184*T1^11*T2^6 + 
     208*T1^12*T2^6 - 608*T1*T2^7 - 1320*T1^2*T2^7 - 60*T1^3*T2^7 + 
     480*T1^4*T2^7 - 1651*T1^5*T2^7 + 844*T1^6*T2^7 + 844*T1^7*T2^7 - 
     1651*T1^8*T2^7 + 480*T1^9*T2^7 - 60*T1^10*T2^7 - 1320*T1^11*T2^7 - 
     608*T1^12*T2^7 + 1052*T1^2*T2^8 + 584*T1^3*T2^8 - 472*T1^4*T2^8 + 
     480*T1^5*T2^8 + 923*T1^6*T2^8 - 1651*T1^7*T2^8 + 923*T1^8*T2^8 + 
     480*T1^9*T2^8 - 472*T1^10*T2^8 + 584*T1^11*T2^8 + 1052*T1^12*T2^8 - 
     1248*T1^3*T2^9 + 584*T1^4*T2^9 - 60*T1^5*T2^9 - 812*T1^6*T2^9 + 
     480*T1^7*T2^9 + 480*T1^8*T2^9 - 812*T1^9*T2^9 - 60*T1^10*T2^9 + 
     584*T1^11*T2^9 - 1248*T1^12*T2^9 + 1052*T1^4*T2^10 - 1320*T1^5*T2^10 + 
     1056*T1^6*T2^10 - 60*T1^7*T2^10 - 472*T1^8*T2^10 - 60*T1^9*T2^10 + 
     1056*T1^10*T2^10 - 1320*T1^11*T2^10 + 1052*T1^12*T2^10 - 
     608*T1^5*T2^11 + 1184*T1^6*T2^11 - 1320*T1^7*T2^11 + 584*T1^8*T2^11 + 
     584*T1^9*T2^11 - 1320*T1^10*T2^11 + 1184*T1^11*T2^11 - 608*T1^12*T2^11 + 
     208*T1^6*T2^12 - 608*T1^7*T2^12 + 1052*T1^8*T2^12 - 1248*T1^9*T2^12 + 
     1052*T1^10*T2^12 - 608*T1^11*T2^12 + 208*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, Alternating, 237] -> {((1 - T + T^2)*(8 - 15*T + 8*T^2))/T^2, 
   (1216 - 3392*T1 + 4528*T1^2 - 3392*T1^3 + 1216*T1^4 - 3392*T2 + 
     6126*T1*T2 - 3214*T1^2*T2 - 3214*T1^3*T2 + 6126*T1^4*T2 - 3392*T1^5*T2 + 
     4528*T2^2 - 3214*T1*T2^2 - 5447*T1^2*T2^2 + 10813*T1^3*T2^2 - 
     5447*T1^4*T2^2 - 3214*T1^5*T2^2 + 4528*T1^6*T2^2 - 3392*T2^3 - 
     3214*T1*T2^3 + 10813*T1^2*T2^3 - 6362*T1^3*T2^3 - 6362*T1^4*T2^3 + 
     10813*T1^5*T2^3 - 3214*T1^6*T2^3 - 3392*T1^7*T2^3 + 1216*T2^4 + 
     6126*T1*T2^4 - 5447*T1^2*T2^4 - 6362*T1^3*T2^4 + 14028*T1^4*T2^4 - 
     6362*T1^5*T2^4 - 5447*T1^6*T2^4 + 6126*T1^7*T2^4 + 1216*T1^8*T2^4 - 
     3392*T1*T2^5 - 3214*T1^2*T2^5 + 10813*T1^3*T2^5 - 6362*T1^4*T2^5 - 
     6362*T1^5*T2^5 + 10813*T1^6*T2^5 - 3214*T1^7*T2^5 - 3392*T1^8*T2^5 + 
     4528*T1^2*T2^6 - 3214*T1^3*T2^6 - 5447*T1^4*T2^6 + 10813*T1^5*T2^6 - 
     5447*T1^6*T2^6 - 3214*T1^7*T2^6 + 4528*T1^8*T2^6 - 3392*T1^3*T2^7 + 
     6126*T1^4*T2^7 - 3214*T1^5*T2^7 - 3214*T1^6*T2^7 + 6126*T1^7*T2^7 - 
     3392*T1^8*T2^7 + 1216*T1^4*T2^8 - 3392*T1^5*T2^8 + 4528*T1^6*T2^8 - 
     3392*T1^7*T2^8 + 1216*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[11, Alternating, 238] -> {(6 - 16*T + 21*T^2 - 16*T^3 + 6*T^4)/T^2, 
   (531 - 1373*T1 + 1785*T1^2 - 1373*T1^3 + 531*T1^4 - 1373*T2 + 2206*T1*T2 - 
     1088*T1^2*T2 - 1088*T1^3*T2 + 2206*T1^4*T2 - 1373*T1^5*T2 + 1785*T2^2 - 
     1088*T1*T2^2 - 1620*T1^2*T2^2 + 3124*T1^3*T2^2 - 1620*T1^4*T2^2 - 
     1088*T1^5*T2^2 + 1785*T1^6*T2^2 - 1373*T2^3 - 1088*T1*T2^3 + 
     3124*T1^2*T2^3 - 1708*T1^3*T2^3 - 1708*T1^4*T2^3 + 3124*T1^5*T2^3 - 
     1088*T1^6*T2^3 - 1373*T1^7*T2^3 + 531*T2^4 + 2206*T1*T2^4 - 
     1620*T1^2*T2^4 - 1708*T1^3*T2^4 + 3624*T1^4*T2^4 - 1708*T1^5*T2^4 - 
     1620*T1^6*T2^4 + 2206*T1^7*T2^4 + 531*T1^8*T2^4 - 1373*T1*T2^5 - 
     1088*T1^2*T2^5 + 3124*T1^3*T2^5 - 1708*T1^4*T2^5 - 1708*T1^5*T2^5 + 
     3124*T1^6*T2^5 - 1088*T1^7*T2^5 - 1373*T1^8*T2^5 + 1785*T1^2*T2^6 - 
     1088*T1^3*T2^6 - 1620*T1^4*T2^6 + 3124*T1^5*T2^6 - 1620*T1^6*T2^6 - 
     1088*T1^7*T2^6 + 1785*T1^8*T2^6 - 1373*T1^3*T2^7 + 2206*T1^4*T2^7 - 
     1088*T1^5*T2^7 - 1088*T1^6*T2^7 + 2206*T1^7*T2^7 - 1373*T1^8*T2^7 + 
     531*T1^4*T2^8 - 1373*T1^5*T2^8 + 1785*T1^6*T2^8 - 1373*T1^7*T2^8 + 
     531*T1^8*T2^8)/(T1^4*T2^4)}, 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), 
   -((1 - 7*T1 + 22*T1^2 - 42*T1^3 + 51*T1^4 - 42*T1^5 + 22*T1^6 - 7*T1^7 + 
      T1^8 - 7*T2 + 42*T1*T2 - 105*T1^2*T2 + 140*T1^3*T2 - 63*T1^4*T2 - 
      63*T1^5*T2 + 140*T1^6*T2 - 105*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 
      22*T2^2 - 105*T1*T2^2 + 162*T1^2*T2^2 + 5*T1^3*T2^2 - 462*T1^4*T2^2 + 
      664*T1^5*T2^2 - 462*T1^6*T2^2 + 5*T1^7*T2^2 + 162*T1^8*T2^2 - 
      105*T1^9*T2^2 + 22*T1^10*T2^2 - 42*T2^3 + 140*T1*T2^3 + 5*T1^2*T2^3 - 
      612*T1^3*T2^3 + 1269*T1^4*T2^3 - 571*T1^5*T2^3 - 571*T1^6*T2^3 + 
      1269*T1^7*T2^3 - 612*T1^8*T2^3 + 5*T1^9*T2^3 + 140*T1^10*T2^3 - 
      42*T1^11*T2^3 + 51*T2^4 - 63*T1*T2^4 - 462*T1^2*T2^4 + 1269*T1^3*T2^4 - 
      1092*T1^4*T2^4 - 1519*T1^5*T2^4 + 2544*T1^6*T2^4 - 1519*T1^7*T2^4 - 
      1092*T1^8*T2^4 + 1269*T1^9*T2^4 - 462*T1^10*T2^4 - 63*T1^11*T2^4 + 
      51*T1^12*T2^4 - 42*T2^5 - 63*T1*T2^5 + 664*T1^2*T2^5 - 571*T1^3*T2^5 - 
      1519*T1^4*T2^5 + 4858*T1^5*T2^5 - 2160*T1^6*T2^5 - 2160*T1^7*T2^5 + 
      4858*T1^8*T2^5 - 1519*T1^9*T2^5 - 571*T1^10*T2^5 + 664*T1^11*T2^5 - 
      63*T1^12*T2^5 - 42*T1^13*T2^5 + 22*T2^6 + 140*T1*T2^6 - 462*T1^2*T2^6 - 
      571*T1^3*T2^6 + 2544*T1^4*T2^6 - 2160*T1^5*T2^6 - 6179*T1^6*T2^6 + 
      9441*T1^7*T2^6 - 6179*T1^8*T2^6 - 2160*T1^9*T2^6 + 2544*T1^10*T2^6 - 
      571*T1^11*T2^6 - 462*T1^12*T2^6 + 140*T1^13*T2^6 + 22*T1^14*T2^6 - 
      7*T2^7 - 105*T1*T2^7 + 5*T1^2*T2^7 + 1269*T1^3*T2^7 - 1519*T1^4*T2^7 - 
      2160*T1^5*T2^7 + 9441*T1^6*T2^7 - 4322*T1^7*T2^7 - 4322*T1^8*T2^7 + 
      9441*T1^9*T2^7 - 2160*T1^10*T2^7 - 1519*T1^11*T2^7 + 1269*T1^12*T2^7 + 
      5*T1^13*T2^7 - 105*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 
      162*T1^2*T2^8 - 612*T1^3*T2^8 - 1092*T1^4*T2^8 + 4858*T1^5*T2^8 - 
      6179*T1^6*T2^8 - 4322*T1^7*T2^8 + 8568*T1^8*T2^8 - 4322*T1^9*T2^8 - 
      6179*T1^10*T2^8 + 4858*T1^11*T2^8 - 1092*T1^12*T2^8 - 612*T1^13*T2^8 + 
      162*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 
      105*T1^2*T2^9 + 5*T1^3*T2^9 + 1269*T1^4*T2^9 - 1519*T1^5*T2^9 - 
      2160*T1^6*T2^9 + 9441*T1^7*T2^9 - 4322*T1^8*T2^9 - 4322*T1^9*T2^9 + 
      9441*T1^10*T2^9 - 2160*T1^11*T2^9 - 1519*T1^12*T2^9 + 1269*T1^13*T2^9 + 
      5*T1^14*T2^9 - 105*T1^15*T2^9 - 7*T1^16*T2^9 + 22*T1^2*T2^10 + 
      140*T1^3*T2^10 - 462*T1^4*T2^10 - 571*T1^5*T2^10 + 2544*T1^6*T2^10 - 
      2160*T1^7*T2^10 - 6179*T1^8*T2^10 + 9441*T1^9*T2^10 - 
      6179*T1^10*T2^10 - 2160*T1^11*T2^10 + 2544*T1^12*T2^10 - 
      571*T1^13*T2^10 - 462*T1^14*T2^10 + 140*T1^15*T2^10 + 22*T1^16*T2^10 - 
      42*T1^3*T2^11 - 63*T1^4*T2^11 + 664*T1^5*T2^11 - 571*T1^6*T2^11 - 
      1519*T1^7*T2^11 + 4858*T1^8*T2^11 - 2160*T1^9*T2^11 - 
      2160*T1^10*T2^11 + 4858*T1^11*T2^11 - 1519*T1^12*T2^11 - 
      571*T1^13*T2^11 + 664*T1^14*T2^11 - 63*T1^15*T2^11 - 42*T1^16*T2^11 + 
      51*T1^4*T2^12 - 63*T1^5*T2^12 - 462*T1^6*T2^12 + 1269*T1^7*T2^12 - 
      1092*T1^8*T2^12 - 1519*T1^9*T2^12 + 2544*T1^10*T2^12 - 
      1519*T1^11*T2^12 - 1092*T1^12*T2^12 + 1269*T1^13*T2^12 - 
      462*T1^14*T2^12 - 63*T1^15*T2^12 + 51*T1^16*T2^12 - 42*T1^5*T2^13 + 
      140*T1^6*T2^13 + 5*T1^7*T2^13 - 612*T1^8*T2^13 + 1269*T1^9*T2^13 - 
      571*T1^10*T2^13 - 571*T1^11*T2^13 + 1269*T1^12*T2^13 - 
      612*T1^13*T2^13 + 5*T1^14*T2^13 + 140*T1^15*T2^13 - 42*T1^16*T2^13 + 
      22*T1^6*T2^14 - 105*T1^7*T2^14 + 162*T1^8*T2^14 + 5*T1^9*T2^14 - 
      462*T1^10*T2^14 + 664*T1^11*T2^14 - 462*T1^12*T2^14 + 5*T1^13*T2^14 + 
      162*T1^14*T2^14 - 105*T1^15*T2^14 + 22*T1^16*T2^14 - 7*T1^7*T2^15 + 
      42*T1^8*T2^15 - 105*T1^9*T2^15 + 140*T1^10*T2^15 - 63*T1^11*T2^15 - 
      63*T1^12*T2^15 + 140*T1^13*T2^15 - 105*T1^14*T2^15 + 42*T1^15*T2^15 - 
      7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 22*T1^10*T2^16 - 
      42*T1^11*T2^16 + 51*T1^12*T2^16 - 42*T1^13*T2^16 + 22*T1^14*T2^16 - 
      7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   (33 - 81*T1 + 128*T1^2 - 159*T1^3 + 175*T1^4 - 159*T1^5 + 128*T1^6 - 
     81*T1^7 + 33*T1^8 - 81*T2 + 120*T1*T2 - 119*T1^2*T2 + 79*T1^3*T2 - 
     40*T1^4*T2 - 40*T1^5*T2 + 79*T1^6*T2 - 119*T1^7*T2 + 120*T1^8*T2 - 
     81*T1^9*T2 + 128*T2^2 - 119*T1*T2^2 + 124*T1^2*T2^2 - 124*T1^3*T2^2 + 
     163*T1^4*T2^2 - 122*T1^5*T2^2 + 163*T1^6*T2^2 - 124*T1^7*T2^2 + 
     124*T1^8*T2^2 - 119*T1^9*T2^2 + 128*T1^10*T2^2 - 159*T2^3 + 79*T1*T2^3 - 
     124*T1^2*T2^3 + 112*T1^3*T2^3 - 119*T1^4*T2^3 - 11*T1^5*T2^3 - 
     11*T1^6*T2^3 - 119*T1^7*T2^3 + 112*T1^8*T2^3 - 124*T1^9*T2^3 + 
     79*T1^10*T2^3 - 159*T1^11*T2^3 + 175*T2^4 - 40*T1*T2^4 + 163*T1^2*T2^4 - 
     119*T1^3*T2^4 + 140*T1^4*T2^4 - 29*T1^5*T2^4 + 150*T1^6*T2^4 - 
     29*T1^7*T2^4 + 140*T1^8*T2^4 - 119*T1^9*T2^4 + 163*T1^10*T2^4 - 
     40*T1^11*T2^4 + 175*T1^12*T2^4 - 159*T2^5 - 40*T1*T2^5 - 122*T1^2*T2^5 - 
     11*T1^3*T2^5 - 29*T1^4*T2^5 - 72*T1^5*T2^5 - 85*T1^6*T2^5 - 
     85*T1^7*T2^5 - 72*T1^8*T2^5 - 29*T1^9*T2^5 - 11*T1^10*T2^5 - 
     122*T1^11*T2^5 - 40*T1^12*T2^5 - 159*T1^13*T2^5 + 128*T2^6 + 
     79*T1*T2^6 + 163*T1^2*T2^6 - 11*T1^3*T2^6 + 150*T1^4*T2^6 - 
     85*T1^5*T2^6 + 257*T1^6*T2^6 - 57*T1^7*T2^6 + 257*T1^8*T2^6 - 
     85*T1^9*T2^6 + 150*T1^10*T2^6 - 11*T1^11*T2^6 + 163*T1^12*T2^6 + 
     79*T1^13*T2^6 + 128*T1^14*T2^6 - 81*T2^7 - 119*T1*T2^7 - 124*T1^2*T2^7 - 
     119*T1^3*T2^7 - 29*T1^4*T2^7 - 85*T1^5*T2^7 - 57*T1^6*T2^7 - 
     130*T1^7*T2^7 - 130*T1^8*T2^7 - 57*T1^9*T2^7 - 85*T1^10*T2^7 - 
     29*T1^11*T2^7 - 119*T1^12*T2^7 - 124*T1^13*T2^7 - 119*T1^14*T2^7 - 
     81*T1^15*T2^7 + 33*T2^8 + 120*T1*T2^8 + 124*T1^2*T2^8 + 112*T1^3*T2^8 + 
     140*T1^4*T2^8 - 72*T1^5*T2^8 + 257*T1^6*T2^8 - 130*T1^7*T2^8 + 
     384*T1^8*T2^8 - 130*T1^9*T2^8 + 257*T1^10*T2^8 - 72*T1^11*T2^8 + 
     140*T1^12*T2^8 + 112*T1^13*T2^8 + 124*T1^14*T2^8 + 120*T1^15*T2^8 + 
     33*T1^16*T2^8 - 81*T1*T2^9 - 119*T1^2*T2^9 - 124*T1^3*T2^9 - 
     119*T1^4*T2^9 - 29*T1^5*T2^9 - 85*T1^6*T2^9 - 57*T1^7*T2^9 - 
     130*T1^8*T2^9 - 130*T1^9*T2^9 - 57*T1^10*T2^9 - 85*T1^11*T2^9 - 
     29*T1^12*T2^9 - 119*T1^13*T2^9 - 124*T1^14*T2^9 - 119*T1^15*T2^9 - 
     81*T1^16*T2^9 + 128*T1^2*T2^10 + 79*T1^3*T2^10 + 163*T1^4*T2^10 - 
     11*T1^5*T2^10 + 150*T1^6*T2^10 - 85*T1^7*T2^10 + 257*T1^8*T2^10 - 
     57*T1^9*T2^10 + 257*T1^10*T2^10 - 85*T1^11*T2^10 + 150*T1^12*T2^10 - 
     11*T1^13*T2^10 + 163*T1^14*T2^10 + 79*T1^15*T2^10 + 128*T1^16*T2^10 - 
     159*T1^3*T2^11 - 40*T1^4*T2^11 - 122*T1^5*T2^11 - 11*T1^6*T2^11 - 
     29*T1^7*T2^11 - 72*T1^8*T2^11 - 85*T1^9*T2^11 - 85*T1^10*T2^11 - 
     72*T1^11*T2^11 - 29*T1^12*T2^11 - 11*T1^13*T2^11 - 122*T1^14*T2^11 - 
     40*T1^15*T2^11 - 159*T1^16*T2^11 + 175*T1^4*T2^12 - 40*T1^5*T2^12 + 
     163*T1^6*T2^12 - 119*T1^7*T2^12 + 140*T1^8*T2^12 - 29*T1^9*T2^12 + 
     150*T1^10*T2^12 - 29*T1^11*T2^12 + 140*T1^12*T2^12 - 119*T1^13*T2^12 + 
     163*T1^14*T2^12 - 40*T1^15*T2^12 + 175*T1^16*T2^12 - 159*T1^5*T2^13 + 
     79*T1^6*T2^13 - 124*T1^7*T2^13 + 112*T1^8*T2^13 - 119*T1^9*T2^13 - 
     11*T1^10*T2^13 - 11*T1^11*T2^13 - 119*T1^12*T2^13 + 112*T1^13*T2^13 - 
     124*T1^14*T2^13 + 79*T1^15*T2^13 - 159*T1^16*T2^13 + 128*T1^6*T2^14 - 
     119*T1^7*T2^14 + 124*T1^8*T2^14 - 124*T1^9*T2^14 + 163*T1^10*T2^14 - 
     122*T1^11*T2^14 + 163*T1^12*T2^14 - 124*T1^13*T2^14 + 124*T1^14*T2^14 - 
     119*T1^15*T2^14 + 128*T1^16*T2^14 - 81*T1^7*T2^15 + 120*T1^8*T2^15 - 
     119*T1^9*T2^15 + 79*T1^10*T2^15 - 40*T1^11*T2^15 - 40*T1^12*T2^15 + 
     79*T1^13*T2^15 - 119*T1^14*T2^15 + 120*T1^15*T2^15 - 81*T1^16*T2^15 + 
     33*T1^8*T2^16 - 81*T1^9*T2^16 + 128*T1^10*T2^16 - 159*T1^11*T2^16 + 
     175*T1^12*T2^16 - 159*T1^13*T2^16 + 128*T1^14*T2^16 - 81*T1^15*T2^16 + 
     33*T1^16*T2^16)/(T1^8*T2^8)}, Knot[11, Alternating, 241] -> 
  {(4 - 12*T + 20*T^2 - 23*T^3 + 20*T^4 - 12*T^5 + 4*T^6)/T^3, 
   (208 - 608*T1 + 996*T1^2 - 1136*T1^3 + 996*T1^4 - 608*T1^5 + 208*T1^6 - 
     608*T2 + 1188*T1*T2 - 1170*T1^2*T2 + 430*T1^3*T2 + 430*T1^4*T2 - 
     1170*T1^5*T2 + 1188*T1^6*T2 - 608*T1^7*T2 + 996*T2^2 - 1170*T1*T2^2 + 
     500*T1^2*T2^2 + 451*T1^3*T2^2 - 596*T1^4*T2^2 + 451*T1^5*T2^2 + 
     500*T1^6*T2^2 - 1170*T1^7*T2^2 + 996*T1^8*T2^2 - 1136*T2^3 + 
     430*T1*T2^3 + 451*T1^2*T2^3 - 852*T1^3*T2^3 + 114*T1^4*T2^3 + 
     114*T1^5*T2^3 - 852*T1^6*T2^3 + 451*T1^7*T2^3 + 430*T1^8*T2^3 - 
     1136*T1^9*T2^3 + 996*T2^4 + 430*T1*T2^4 - 596*T1^2*T2^4 + 
     114*T1^3*T2^4 + 952*T1^4*T2^4 - 610*T1^5*T2^4 + 952*T1^6*T2^4 + 
     114*T1^7*T2^4 - 596*T1^8*T2^4 + 430*T1^9*T2^4 + 996*T1^10*T2^4 - 
     608*T2^5 - 1170*T1*T2^5 + 451*T1^2*T2^5 + 114*T1^3*T2^5 - 
     610*T1^4*T2^5 - 254*T1^5*T2^5 - 254*T1^6*T2^5 - 610*T1^7*T2^5 + 
     114*T1^8*T2^5 + 451*T1^9*T2^5 - 1170*T1^10*T2^5 - 608*T1^11*T2^5 + 
     208*T2^6 + 1188*T1*T2^6 + 500*T1^2*T2^6 - 852*T1^3*T2^6 + 
     952*T1^4*T2^6 - 254*T1^5*T2^6 + 1044*T1^6*T2^6 - 254*T1^7*T2^6 + 
     952*T1^8*T2^6 - 852*T1^9*T2^6 + 500*T1^10*T2^6 + 1188*T1^11*T2^6 + 
     208*T1^12*T2^6 - 608*T1*T2^7 - 1170*T1^2*T2^7 + 451*T1^3*T2^7 + 
     114*T1^4*T2^7 - 610*T1^5*T2^7 - 254*T1^6*T2^7 - 254*T1^7*T2^7 - 
     610*T1^8*T2^7 + 114*T1^9*T2^7 + 451*T1^10*T2^7 - 1170*T1^11*T2^7 - 
     608*T1^12*T2^7 + 996*T1^2*T2^8 + 430*T1^3*T2^8 - 596*T1^4*T2^8 + 
     114*T1^5*T2^8 + 952*T1^6*T2^8 - 610*T1^7*T2^8 + 952*T1^8*T2^8 + 
     114*T1^9*T2^8 - 596*T1^10*T2^8 + 430*T1^11*T2^8 + 996*T1^12*T2^8 - 
     1136*T1^3*T2^9 + 430*T1^4*T2^9 + 451*T1^5*T2^9 - 852*T1^6*T2^9 + 
     114*T1^7*T2^9 + 114*T1^8*T2^9 - 852*T1^9*T2^9 + 451*T1^10*T2^9 + 
     430*T1^11*T2^9 - 1136*T1^12*T2^9 + 996*T1^4*T2^10 - 1170*T1^5*T2^10 + 
     500*T1^6*T2^10 + 451*T1^7*T2^10 - 596*T1^8*T2^10 + 451*T1^9*T2^10 + 
     500*T1^10*T2^10 - 1170*T1^11*T2^10 + 996*T1^12*T2^10 - 608*T1^5*T2^11 + 
     1188*T1^6*T2^11 - 1170*T1^7*T2^11 + 430*T1^8*T2^11 + 430*T1^9*T2^11 - 
     1170*T1^10*T2^11 + 1188*T1^11*T2^11 - 608*T1^12*T2^11 + 208*T1^6*T2^12 - 
     608*T1^7*T2^12 + 996*T1^8*T2^12 - 1136*T1^9*T2^12 + 996*T1^10*T2^12 - 
     608*T1^11*T2^12 + 208*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, Alternating, 242] -> 
  {(3 - 7*T + 9*T^2 - 9*T^3 + 9*T^4 - 7*T^5 + 3*T^6)/T^3, 
   (90 - 206*T1 + 264*T1^2 - 264*T1^3 + 264*T1^4 - 206*T1^5 + 90*T1^6 - 
     206*T2 + 268*T1*T2 - 134*T1^2*T2 - 134*T1^5*T2 + 268*T1^6*T2 - 
     206*T1^7*T2 + 264*T2^2 - 134*T1*T2^2 - 79*T1^2*T2^2 + 81*T1^3*T2^2 + 
     73*T1^4*T2^2 + 81*T1^5*T2^2 - 79*T1^6*T2^2 - 134*T1^7*T2^2 + 
     264*T1^8*T2^2 - 264*T2^3 + 81*T1^2*T2^3 + 34*T1^3*T2^3 - 130*T1^4*T2^3 - 
     130*T1^5*T2^3 + 34*T1^6*T2^3 + 81*T1^7*T2^3 - 264*T1^9*T2^3 + 264*T2^4 + 
     73*T1^2*T2^4 - 130*T1^3*T2^4 + 141*T1^4*T2^4 + 59*T1^5*T2^4 + 
     141*T1^6*T2^4 - 130*T1^7*T2^4 + 73*T1^8*T2^4 + 264*T1^10*T2^4 - 
     206*T2^5 - 134*T1*T2^5 + 81*T1^2*T2^5 - 130*T1^3*T2^5 + 59*T1^4*T2^5 - 
     118*T1^5*T2^5 - 118*T1^6*T2^5 + 59*T1^7*T2^5 - 130*T1^8*T2^5 + 
     81*T1^9*T2^5 - 134*T1^10*T2^5 - 206*T1^11*T2^5 + 90*T2^6 + 268*T1*T2^6 - 
     79*T1^2*T2^6 + 34*T1^3*T2^6 + 141*T1^4*T2^6 - 118*T1^5*T2^6 + 
     276*T1^6*T2^6 - 118*T1^7*T2^6 + 141*T1^8*T2^6 + 34*T1^9*T2^6 - 
     79*T1^10*T2^6 + 268*T1^11*T2^6 + 90*T1^12*T2^6 - 206*T1*T2^7 - 
     134*T1^2*T2^7 + 81*T1^3*T2^7 - 130*T1^4*T2^7 + 59*T1^5*T2^7 - 
     118*T1^6*T2^7 - 118*T1^7*T2^7 + 59*T1^8*T2^7 - 130*T1^9*T2^7 + 
     81*T1^10*T2^7 - 134*T1^11*T2^7 - 206*T1^12*T2^7 + 264*T1^2*T2^8 + 
     73*T1^4*T2^8 - 130*T1^5*T2^8 + 141*T1^6*T2^8 + 59*T1^7*T2^8 + 
     141*T1^8*T2^8 - 130*T1^9*T2^8 + 73*T1^10*T2^8 + 264*T1^12*T2^8 - 
     264*T1^3*T2^9 + 81*T1^5*T2^9 + 34*T1^6*T2^9 - 130*T1^7*T2^9 - 
     130*T1^8*T2^9 + 34*T1^9*T2^9 + 81*T1^10*T2^9 - 264*T1^12*T2^9 + 
     264*T1^4*T2^10 - 134*T1^5*T2^10 - 79*T1^6*T2^10 + 81*T1^7*T2^10 + 
     73*T1^8*T2^10 + 81*T1^9*T2^10 - 79*T1^10*T2^10 - 134*T1^11*T2^10 + 
     264*T1^12*T2^10 - 206*T1^5*T2^11 + 268*T1^6*T2^11 - 134*T1^7*T2^11 - 
     134*T1^10*T2^11 + 268*T1^11*T2^11 - 206*T1^12*T2^11 + 90*T1^6*T2^12 - 
     206*T1^7*T2^12 + 264*T1^8*T2^12 - 264*T1^9*T2^12 + 264*T1^10*T2^12 - 
     206*T1^11*T2^12 + 90*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, Alternating, 243] -> {((1 - T + T^2)*(6 - 11*T + 6*T^2))/T^2, 
   (531 - 1459*T1 + 1957*T1^2 - 1459*T1^3 + 531*T1^4 - 1459*T2 + 2574*T1*T2 - 
     1386*T1^2*T2 - 1386*T1^3*T2 + 2574*T1^4*T2 - 1459*T1^5*T2 + 1957*T2^2 - 
     1386*T1*T2^2 - 2060*T1^2*T2^2 + 4404*T1^3*T2^2 - 2060*T1^4*T2^2 - 
     1386*T1^5*T2^2 + 1957*T1^6*T2^2 - 1459*T2^3 - 1386*T1*T2^3 + 
     4404*T1^2*T2^3 - 2760*T1^3*T2^3 - 2760*T1^4*T2^3 + 4404*T1^5*T2^3 - 
     1386*T1^6*T2^3 - 1459*T1^7*T2^3 + 531*T2^4 + 2574*T1*T2^4 - 
     2060*T1^2*T2^4 - 2760*T1^3*T2^4 + 6264*T1^4*T2^4 - 2760*T1^5*T2^4 - 
     2060*T1^6*T2^4 + 2574*T1^7*T2^4 + 531*T1^8*T2^4 - 1459*T1*T2^5 - 
     1386*T1^2*T2^5 + 4404*T1^3*T2^5 - 2760*T1^4*T2^5 - 2760*T1^5*T2^5 + 
     4404*T1^6*T2^5 - 1386*T1^7*T2^5 - 1459*T1^8*T2^5 + 1957*T1^2*T2^6 - 
     1386*T1^3*T2^6 - 2060*T1^4*T2^6 + 4404*T1^5*T2^6 - 2060*T1^6*T2^6 - 
     1386*T1^7*T2^6 + 1957*T1^8*T2^6 - 1459*T1^3*T2^7 + 2574*T1^4*T2^7 - 
     1386*T1^5*T2^7 - 1386*T1^6*T2^7 + 2574*T1^7*T2^7 - 1459*T1^8*T2^7 + 
     531*T1^4*T2^8 - 1459*T1^5*T2^8 + 1957*T1^6*T2^8 - 1459*T1^7*T2^8 + 
     531*T1^8*T2^8)/(T1^4*T2^4)}, Knot[11, Alternating, 244] -> 
  {((1 - T + T^2)*(5 - 12*T + 15*T^2 - 12*T^3 + 5*T^4))/T^3, 
   (395 - 1305*T1 + 2426*T1^2 - 2945*T1^3 + 2426*T1^4 - 1305*T1^5 + 
     395*T1^6 - 1305*T2 + 3038*T1*T2 - 3757*T1^2*T2 + 1743*T1^3*T2 + 
     1743*T1^4*T2 - 3757*T1^5*T2 + 3038*T1^6*T2 - 1305*T1^7*T2 + 2426*T2^2 - 
     3757*T1*T2^2 + 2827*T1^2*T2^2 + 1176*T1^3*T2^2 - 3439*T1^4*T2^2 + 
     1176*T1^5*T2^2 + 2827*T1^6*T2^2 - 3757*T1^7*T2^2 + 2426*T1^8*T2^2 - 
     2945*T2^3 + 1743*T1*T2^3 + 1176*T1^2*T2^3 - 5034*T1^3*T2^3 + 
     2858*T1^4*T2^3 + 2858*T1^5*T2^3 - 5034*T1^6*T2^3 + 1176*T1^7*T2^3 + 
     1743*T1^8*T2^3 - 2945*T1^9*T2^3 + 2426*T2^4 + 1743*T1*T2^4 - 
     3439*T1^2*T2^4 + 2858*T1^3*T2^4 + 4889*T1^4*T2^4 - 9293*T1^5*T2^4 + 
     4889*T1^6*T2^4 + 2858*T1^7*T2^4 - 3439*T1^8*T2^4 + 1743*T1^9*T2^4 + 
     2426*T1^10*T2^4 - 1305*T2^5 - 3757*T1*T2^5 + 1176*T1^2*T2^5 + 
     2858*T1^3*T2^5 - 9293*T1^4*T2^5 + 5062*T1^5*T2^5 + 5062*T1^6*T2^5 - 
     9293*T1^7*T2^5 + 2858*T1^8*T2^5 + 1176*T1^9*T2^5 - 3757*T1^10*T2^5 - 
     1305*T1^11*T2^5 + 395*T2^6 + 3038*T1*T2^6 + 2827*T1^2*T2^6 - 
     5034*T1^3*T2^6 + 4889*T1^4*T2^6 + 5062*T1^5*T2^6 - 10692*T1^6*T2^6 + 
     5062*T1^7*T2^6 + 4889*T1^8*T2^6 - 5034*T1^9*T2^6 + 2827*T1^10*T2^6 + 
     3038*T1^11*T2^6 + 395*T1^12*T2^6 - 1305*T1*T2^7 - 3757*T1^2*T2^7 + 
     1176*T1^3*T2^7 + 2858*T1^4*T2^7 - 9293*T1^5*T2^7 + 5062*T1^6*T2^7 + 
     5062*T1^7*T2^7 - 9293*T1^8*T2^7 + 2858*T1^9*T2^7 + 1176*T1^10*T2^7 - 
     3757*T1^11*T2^7 - 1305*T1^12*T2^7 + 2426*T1^2*T2^8 + 1743*T1^3*T2^8 - 
     3439*T1^4*T2^8 + 2858*T1^5*T2^8 + 4889*T1^6*T2^8 - 9293*T1^7*T2^8 + 
     4889*T1^8*T2^8 + 2858*T1^9*T2^8 - 3439*T1^10*T2^8 + 1743*T1^11*T2^8 + 
     2426*T1^12*T2^8 - 2945*T1^3*T2^9 + 1743*T1^4*T2^9 + 1176*T1^5*T2^9 - 
     5034*T1^6*T2^9 + 2858*T1^7*T2^9 + 2858*T1^8*T2^9 - 5034*T1^9*T2^9 + 
     1176*T1^10*T2^9 + 1743*T1^11*T2^9 - 2945*T1^12*T2^9 + 2426*T1^4*T2^10 - 
     3757*T1^5*T2^10 + 2827*T1^6*T2^10 + 1176*T1^7*T2^10 - 3439*T1^8*T2^10 + 
     1176*T1^9*T2^10 + 2827*T1^10*T2^10 - 3757*T1^11*T2^10 + 
     2426*T1^12*T2^10 - 1305*T1^5*T2^11 + 3038*T1^6*T2^11 - 3757*T1^7*T2^11 + 
     1743*T1^8*T2^11 + 1743*T1^9*T2^11 - 3757*T1^10*T2^11 + 
     3038*T1^11*T2^11 - 1305*T1^12*T2^11 + 395*T1^6*T2^12 - 1305*T1^7*T2^12 + 
     2426*T1^8*T2^12 - 2945*T1^9*T2^12 + 2426*T1^10*T2^12 - 
     1305*T1^11*T2^12 + 395*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, Alternating, 245] -> 
  {((1 - T + T^2)*(3 - 6*T + 7*T^2 - 6*T^3 + 3*T^4))/T^3, 
   (90 - 264*T1 + 464*T1^2 - 548*T1^3 + 464*T1^4 - 264*T1^5 + 90*T1^6 - 
     264*T2 + 516*T1*T2 - 596*T1^2*T2 + 252*T1^3*T2 + 252*T1^4*T2 - 
     596*T1^5*T2 + 516*T1^6*T2 - 264*T1^7*T2 + 464*T2^2 - 596*T1*T2^2 + 
     529*T1^2*T2^2 - 40*T1^3*T2^2 - 143*T1^4*T2^2 - 40*T1^5*T2^2 + 
     529*T1^6*T2^2 - 596*T1^7*T2^2 + 464*T1^8*T2^2 - 548*T2^3 + 252*T1*T2^3 - 
     40*T1^2*T2^3 - 454*T1^3*T2^3 + 173*T1^4*T2^3 + 173*T1^5*T2^3 - 
     454*T1^6*T2^3 - 40*T1^7*T2^3 + 252*T1^8*T2^3 - 548*T1^9*T2^3 + 
     464*T2^4 + 252*T1*T2^4 - 143*T1^2*T2^4 + 173*T1^3*T2^4 + 733*T1^4*T2^4 - 
     911*T1^5*T2^4 + 733*T1^6*T2^4 + 173*T1^7*T2^4 - 143*T1^8*T2^4 + 
     252*T1^9*T2^4 + 464*T1^10*T2^4 - 264*T2^5 - 596*T1*T2^5 - 40*T1^2*T2^5 + 
     173*T1^3*T2^5 - 911*T1^4*T2^5 + 272*T1^5*T2^5 + 272*T1^6*T2^5 - 
     911*T1^7*T2^5 + 173*T1^8*T2^5 - 40*T1^9*T2^5 - 596*T1^10*T2^5 - 
     264*T1^11*T2^5 + 90*T2^6 + 516*T1*T2^6 + 529*T1^2*T2^6 - 454*T1^3*T2^6 + 
     733*T1^4*T2^6 + 272*T1^5*T2^6 - 372*T1^6*T2^6 + 272*T1^7*T2^6 + 
     733*T1^8*T2^6 - 454*T1^9*T2^6 + 529*T1^10*T2^6 + 516*T1^11*T2^6 + 
     90*T1^12*T2^6 - 264*T1*T2^7 - 596*T1^2*T2^7 - 40*T1^3*T2^7 + 
     173*T1^4*T2^7 - 911*T1^5*T2^7 + 272*T1^6*T2^7 + 272*T1^7*T2^7 - 
     911*T1^8*T2^7 + 173*T1^9*T2^7 - 40*T1^10*T2^7 - 596*T1^11*T2^7 - 
     264*T1^12*T2^7 + 464*T1^2*T2^8 + 252*T1^3*T2^8 - 143*T1^4*T2^8 + 
     173*T1^5*T2^8 + 733*T1^6*T2^8 - 911*T1^7*T2^8 + 733*T1^8*T2^8 + 
     173*T1^9*T2^8 - 143*T1^10*T2^8 + 252*T1^11*T2^8 + 464*T1^12*T2^8 - 
     548*T1^3*T2^9 + 252*T1^4*T2^9 - 40*T1^5*T2^9 - 454*T1^6*T2^9 + 
     173*T1^7*T2^9 + 173*T1^8*T2^9 - 454*T1^9*T2^9 - 40*T1^10*T2^9 + 
     252*T1^11*T2^9 - 548*T1^12*T2^9 + 464*T1^4*T2^10 - 596*T1^5*T2^10 + 
     529*T1^6*T2^10 - 40*T1^7*T2^10 - 143*T1^8*T2^10 - 40*T1^9*T2^10 + 
     529*T1^10*T2^10 - 596*T1^11*T2^10 + 464*T1^12*T2^10 - 264*T1^5*T2^11 + 
     516*T1^6*T2^11 - 596*T1^7*T2^11 + 252*T1^8*T2^11 + 252*T1^9*T2^11 - 
     596*T1^10*T2^11 + 516*T1^11*T2^11 - 264*T1^12*T2^11 + 90*T1^6*T2^12 - 
     264*T1^7*T2^12 + 464*T1^8*T2^12 - 548*T1^9*T2^12 + 464*T1^10*T2^12 - 
     264*T1^11*T2^12 + 90*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, Alternating, 246] -> {(4 - 10*T + 13*T^2 - 10*T^3 + 4*T^4)/T^2, 
   (164 - 400*T1 + 518*T1^2 - 400*T1^3 + 164*T1^4 - 400*T2 + 580*T1*T2 - 
     290*T1^2*T2 - 290*T1^3*T2 + 580*T1^4*T2 - 400*T1^5*T2 + 518*T2^2 - 
     290*T1*T2^2 - 311*T1^2*T2^2 + 697*T1^3*T2^2 - 311*T1^4*T2^2 - 
     290*T1^5*T2^2 + 518*T1^6*T2^2 - 400*T2^3 - 290*T1*T2^3 + 697*T1^2*T2^3 - 
     430*T1^3*T2^3 - 430*T1^4*T2^3 + 697*T1^5*T2^3 - 290*T1^6*T2^3 - 
     400*T1^7*T2^3 + 164*T2^4 + 580*T1*T2^4 - 311*T1^2*T2^4 - 430*T1^3*T2^4 + 
     972*T1^4*T2^4 - 430*T1^5*T2^4 - 311*T1^6*T2^4 + 580*T1^7*T2^4 + 
     164*T1^8*T2^4 - 400*T1*T2^5 - 290*T1^2*T2^5 + 697*T1^3*T2^5 - 
     430*T1^4*T2^5 - 430*T1^5*T2^5 + 697*T1^6*T2^5 - 290*T1^7*T2^5 - 
     400*T1^8*T2^5 + 518*T1^2*T2^6 - 290*T1^3*T2^6 - 311*T1^4*T2^6 + 
     697*T1^5*T2^6 - 311*T1^6*T2^6 - 290*T1^7*T2^6 + 518*T1^8*T2^6 - 
     400*T1^3*T2^7 + 580*T1^4*T2^7 - 290*T1^5*T2^7 - 290*T1^6*T2^7 + 
     580*T1^7*T2^7 - 400*T1^8*T2^7 + 164*T1^4*T2^8 - 400*T1^5*T2^8 + 
     518*T1^6*T2^8 - 400*T1^7*T2^8 + 164*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[11, Alternating, 247] -> {(5 - 9*T + 5*T^2)/T, 
   (5*(45 - 79*T1 + 45*T1^2 - 79*T2 + 60*T1*T2 + 60*T1^2*T2 - 79*T1^3*T2 + 
      45*T2^2 + 60*T1*T2^2 - 156*T1^2*T2^2 + 60*T1^3*T2^2 + 45*T1^4*T2^2 - 
      79*T1*T2^3 + 60*T1^2*T2^3 + 60*T1^3*T2^3 - 79*T1^4*T2^3 + 
      45*T1^2*T2^4 - 79*T1^3*T2^4 + 45*T1^4*T2^4))/(T1^2*T2^2)}, 
 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), 
   (1 - 6*T1 + 18*T1^2 - 34*T1^3 + 41*T1^4 - 34*T1^5 + 18*T1^6 - 6*T1^7 + 
     T1^8 - 6*T2 + 30*T1*T2 - 72*T1^2*T2 + 96*T1^3*T2 - 42*T1^4*T2 - 
     42*T1^5*T2 + 96*T1^6*T2 - 72*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 
     18*T2^2 - 72*T1*T2^2 + 127*T1^2*T2^2 - 72*T1^3*T2^2 - 172*T1^4*T2^2 + 
     269*T1^5*T2^2 - 172*T1^6*T2^2 - 72*T1^7*T2^2 + 127*T1^8*T2^2 - 
     72*T1^9*T2^2 + 18*T1^10*T2^2 - 34*T2^3 + 96*T1*T2^3 - 72*T1^2*T2^3 - 
     196*T1^3*T2^3 + 608*T1^4*T2^3 - 258*T1^5*T2^3 - 258*T1^6*T2^3 + 
     608*T1^7*T2^3 - 196*T1^8*T2^3 - 72*T1^9*T2^3 + 96*T1^10*T2^3 - 
     34*T1^11*T2^3 + 41*T2^4 - 42*T1*T2^4 - 172*T1^2*T2^4 + 608*T1^3*T2^4 - 
     684*T1^4*T2^4 - 791*T1^5*T2^4 + 1278*T1^6*T2^4 - 791*T1^7*T2^4 - 
     684*T1^8*T2^4 + 608*T1^9*T2^4 - 172*T1^10*T2^4 - 42*T1^11*T2^4 + 
     41*T1^12*T2^4 - 34*T2^5 - 42*T1*T2^5 + 269*T1^2*T2^5 - 258*T1^3*T2^5 - 
     791*T1^4*T2^5 + 2920*T1^5*T2^5 - 1230*T1^6*T2^5 - 1230*T1^7*T2^5 + 
     2920*T1^8*T2^5 - 791*T1^9*T2^5 - 258*T1^10*T2^5 + 269*T1^11*T2^5 - 
     42*T1^12*T2^5 - 34*T1^13*T2^5 + 18*T2^6 + 96*T1*T2^6 - 172*T1^2*T2^6 - 
     258*T1^3*T2^6 + 1278*T1^4*T2^6 - 1230*T1^5*T2^6 - 4095*T1^6*T2^6 + 
     6021*T1^7*T2^6 - 4095*T1^8*T2^6 - 1230*T1^9*T2^6 + 1278*T1^10*T2^6 - 
     258*T1^11*T2^6 - 172*T1^12*T2^6 + 96*T1^13*T2^6 + 18*T1^14*T2^6 - 
     6*T2^7 - 72*T1*T2^7 - 72*T1^2*T2^7 + 608*T1^3*T2^7 - 791*T1^4*T2^7 - 
     1230*T1^5*T2^7 + 6021*T1^6*T2^7 - 2686*T1^7*T2^7 - 2686*T1^8*T2^7 + 
     6021*T1^9*T2^7 - 1230*T1^10*T2^7 - 791*T1^11*T2^7 + 608*T1^12*T2^7 - 
     72*T1^13*T2^7 - 72*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 
     127*T1^2*T2^8 - 196*T1^3*T2^8 - 684*T1^4*T2^8 + 2920*T1^5*T2^8 - 
     4095*T1^6*T2^8 - 2686*T1^7*T2^8 + 5304*T1^8*T2^8 - 2686*T1^9*T2^8 - 
     4095*T1^10*T2^8 + 2920*T1^11*T2^8 - 684*T1^12*T2^8 - 196*T1^13*T2^8 + 
     127*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 72*T1^2*T2^9 - 
     72*T1^3*T2^9 + 608*T1^4*T2^9 - 791*T1^5*T2^9 - 1230*T1^6*T2^9 + 
     6021*T1^7*T2^9 - 2686*T1^8*T2^9 - 2686*T1^9*T2^9 + 6021*T1^10*T2^9 - 
     1230*T1^11*T2^9 - 791*T1^12*T2^9 + 608*T1^13*T2^9 - 72*T1^14*T2^9 - 
     72*T1^15*T2^9 - 6*T1^16*T2^9 + 18*T1^2*T2^10 + 96*T1^3*T2^10 - 
     172*T1^4*T2^10 - 258*T1^5*T2^10 + 1278*T1^6*T2^10 - 1230*T1^7*T2^10 - 
     4095*T1^8*T2^10 + 6021*T1^9*T2^10 - 4095*T1^10*T2^10 - 
     1230*T1^11*T2^10 + 1278*T1^12*T2^10 - 258*T1^13*T2^10 - 
     172*T1^14*T2^10 + 96*T1^15*T2^10 + 18*T1^16*T2^10 - 34*T1^3*T2^11 - 
     42*T1^4*T2^11 + 269*T1^5*T2^11 - 258*T1^6*T2^11 - 791*T1^7*T2^11 + 
     2920*T1^8*T2^11 - 1230*T1^9*T2^11 - 1230*T1^10*T2^11 + 
     2920*T1^11*T2^11 - 791*T1^12*T2^11 - 258*T1^13*T2^11 + 269*T1^14*T2^11 - 
     42*T1^15*T2^11 - 34*T1^16*T2^11 + 41*T1^4*T2^12 - 42*T1^5*T2^12 - 
     172*T1^6*T2^12 + 608*T1^7*T2^12 - 684*T1^8*T2^12 - 791*T1^9*T2^12 + 
     1278*T1^10*T2^12 - 791*T1^11*T2^12 - 684*T1^12*T2^12 + 608*T1^13*T2^12 - 
     172*T1^14*T2^12 - 42*T1^15*T2^12 + 41*T1^16*T2^12 - 34*T1^5*T2^13 + 
     96*T1^6*T2^13 - 72*T1^7*T2^13 - 196*T1^8*T2^13 + 608*T1^9*T2^13 - 
     258*T1^10*T2^13 - 258*T1^11*T2^13 + 608*T1^12*T2^13 - 196*T1^13*T2^13 - 
     72*T1^14*T2^13 + 96*T1^15*T2^13 - 34*T1^16*T2^13 + 18*T1^6*T2^14 - 
     72*T1^7*T2^14 + 127*T1^8*T2^14 - 72*T1^9*T2^14 - 172*T1^10*T2^14 + 
     269*T1^11*T2^14 - 172*T1^12*T2^14 - 72*T1^13*T2^14 + 127*T1^14*T2^14 - 
     72*T1^15*T2^14 + 18*T1^16*T2^14 - 6*T1^7*T2^15 + 30*T1^8*T2^15 - 
     72*T1^9*T2^15 + 96*T1^10*T2^15 - 42*T1^11*T2^15 - 42*T1^12*T2^15 + 
     96*T1^13*T2^15 - 72*T1^14*T2^15 + 30*T1^15*T2^15 - 6*T1^16*T2^15 + 
     T1^8*T2^16 - 6*T1^9*T2^16 + 18*T1^10*T2^16 - 34*T1^11*T2^16 + 
     41*T1^12*T2^16 - 34*T1^13*T2^16 + 18*T1^14*T2^16 - 6*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, Knot[11, Alternating, 249] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3), 
   (1 - 6*T1 + 16*T1^2 - 23*T1^3 + 16*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     30*T1*T2 - 60*T1^2*T2 + 42*T1^3*T2 + 42*T1^4*T2 - 60*T1^5*T2 + 
     30*T1^6*T2 - 6*T1^7*T2 + 16*T2^2 - 60*T1*T2^2 + 67*T1^2*T2^2 + 
     75*T1^3*T2^2 - 271*T1^4*T2^2 + 75*T1^5*T2^2 + 67*T1^6*T2^2 - 
     60*T1^7*T2^2 + 16*T1^8*T2^2 - 23*T2^3 + 42*T1*T2^3 + 75*T1^2*T2^3 - 
     372*T1^3*T2^3 + 426*T1^4*T2^3 + 426*T1^5*T2^3 - 372*T1^6*T2^3 + 
     75*T1^7*T2^3 + 42*T1^8*T2^3 - 23*T1^9*T2^3 + 16*T2^4 + 42*T1*T2^4 - 
     271*T1^2*T2^4 + 426*T1^3*T2^4 + 220*T1^4*T2^4 - 1630*T1^5*T2^4 + 
     220*T1^6*T2^4 + 426*T1^7*T2^4 - 271*T1^8*T2^4 + 42*T1^9*T2^4 + 
     16*T1^10*T2^4 - 6*T2^5 - 60*T1*T2^5 + 75*T1^2*T2^5 + 426*T1^3*T2^5 - 
     1630*T1^4*T2^5 + 1860*T1^5*T2^5 + 1860*T1^6*T2^5 - 1630*T1^7*T2^5 + 
     426*T1^8*T2^5 + 75*T1^9*T2^5 - 60*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     30*T1*T2^6 + 67*T1^2*T2^6 - 372*T1^3*T2^6 + 220*T1^4*T2^6 + 
     1860*T1^5*T2^6 - 5208*T1^6*T2^6 + 1860*T1^7*T2^6 + 220*T1^8*T2^6 - 
     372*T1^9*T2^6 + 67*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
     60*T1^2*T2^7 + 75*T1^3*T2^7 + 426*T1^4*T2^7 - 1630*T1^5*T2^7 + 
     1860*T1^6*T2^7 + 1860*T1^7*T2^7 - 1630*T1^8*T2^7 + 426*T1^9*T2^7 + 
     75*T1^10*T2^7 - 60*T1^11*T2^7 - 6*T1^12*T2^7 + 16*T1^2*T2^8 + 
     42*T1^3*T2^8 - 271*T1^4*T2^8 + 426*T1^5*T2^8 + 220*T1^6*T2^8 - 
     1630*T1^7*T2^8 + 220*T1^8*T2^8 + 426*T1^9*T2^8 - 271*T1^10*T2^8 + 
     42*T1^11*T2^8 + 16*T1^12*T2^8 - 23*T1^3*T2^9 + 42*T1^4*T2^9 + 
     75*T1^5*T2^9 - 372*T1^6*T2^9 + 426*T1^7*T2^9 + 426*T1^8*T2^9 - 
     372*T1^9*T2^9 + 75*T1^10*T2^9 + 42*T1^11*T2^9 - 23*T1^12*T2^9 + 
     16*T1^4*T2^10 - 60*T1^5*T2^10 + 67*T1^6*T2^10 + 75*T1^7*T2^10 - 
     271*T1^8*T2^10 + 75*T1^9*T2^10 + 67*T1^10*T2^10 - 60*T1^11*T2^10 + 
     16*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 60*T1^7*T2^11 + 
     42*T1^8*T2^11 + 42*T1^9*T2^11 - 60*T1^10*T2^11 + 30*T1^11*T2^11 - 
     6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 16*T1^8*T2^12 - 
     23*T1^9*T2^12 + 16*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   (2 - 10*T1 + 22*T1^2 - 32*T1^3 + 38*T1^4 - 32*T1^5 + 22*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 60*T1^2*T2 + 50*T1^3*T2 - 30*T1^4*T2 - 
     30*T1^5*T2 + 50*T1^6*T2 - 60*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     22*T2^2 - 60*T1*T2^2 + 13*T1^2*T2^2 + 94*T1^3*T2^2 - 154*T1^4*T2^2 + 
     259*T1^5*T2^2 - 154*T1^6*T2^2 + 94*T1^7*T2^2 + 13*T1^8*T2^2 - 
     60*T1^9*T2^2 + 22*T1^10*T2^2 - 32*T2^3 + 50*T1*T2^3 + 94*T1^2*T2^3 - 
     208*T1^3*T2^3 + 144*T1^4*T2^3 - 170*T1^5*T2^3 - 170*T1^6*T2^3 + 
     144*T1^7*T2^3 - 208*T1^8*T2^3 + 94*T1^9*T2^3 + 50*T1^10*T2^3 - 
     32*T1^11*T2^3 + 38*T2^4 - 30*T1*T2^4 - 154*T1^2*T2^4 + 144*T1^3*T2^4 + 
     68*T1^4*T2^4 - 24*T1^5*T2^4 + 400*T1^6*T2^4 - 24*T1^7*T2^4 + 
     68*T1^8*T2^4 + 144*T1^9*T2^4 - 154*T1^10*T2^4 - 30*T1^11*T2^4 + 
     38*T1^12*T2^4 - 32*T2^5 - 30*T1*T2^5 + 259*T1^2*T2^5 - 170*T1^3*T2^5 - 
     24*T1^4*T2^5 - 130*T1^5*T2^5 - 255*T1^6*T2^5 - 255*T1^7*T2^5 - 
     130*T1^8*T2^5 - 24*T1^9*T2^5 - 170*T1^10*T2^5 + 259*T1^11*T2^5 - 
     30*T1^12*T2^5 - 32*T1^13*T2^5 + 22*T2^6 + 50*T1*T2^6 - 154*T1^2*T2^6 - 
     170*T1^3*T2^6 + 400*T1^4*T2^6 - 255*T1^5*T2^6 + 662*T1^6*T2^6 - 
     94*T1^7*T2^6 + 662*T1^8*T2^6 - 255*T1^9*T2^6 + 400*T1^10*T2^6 - 
     170*T1^11*T2^6 - 154*T1^12*T2^6 + 50*T1^13*T2^6 + 22*T1^14*T2^6 - 
     10*T2^7 - 60*T1*T2^7 + 94*T1^2*T2^7 + 144*T1^3*T2^7 - 24*T1^4*T2^7 - 
     255*T1^5*T2^7 - 94*T1^6*T2^7 - 386*T1^7*T2^7 - 386*T1^8*T2^7 - 
     94*T1^9*T2^7 - 255*T1^10*T2^7 - 24*T1^11*T2^7 + 144*T1^12*T2^7 + 
     94*T1^13*T2^7 - 60*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 + 
     13*T1^2*T2^8 - 208*T1^3*T2^8 + 68*T1^4*T2^8 - 130*T1^5*T2^8 + 
     662*T1^6*T2^8 - 386*T1^7*T2^8 + 1116*T1^8*T2^8 - 386*T1^9*T2^8 + 
     662*T1^10*T2^8 - 130*T1^11*T2^8 + 68*T1^12*T2^8 - 208*T1^13*T2^8 + 
     13*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     60*T1^2*T2^9 + 94*T1^3*T2^9 + 144*T1^4*T2^9 - 24*T1^5*T2^9 - 
     255*T1^6*T2^9 - 94*T1^7*T2^9 - 386*T1^8*T2^9 - 386*T1^9*T2^9 - 
     94*T1^10*T2^9 - 255*T1^11*T2^9 - 24*T1^12*T2^9 + 144*T1^13*T2^9 + 
     94*T1^14*T2^9 - 60*T1^15*T2^9 - 10*T1^16*T2^9 + 22*T1^2*T2^10 + 
     50*T1^3*T2^10 - 154*T1^4*T2^10 - 170*T1^5*T2^10 + 400*T1^6*T2^10 - 
     255*T1^7*T2^10 + 662*T1^8*T2^10 - 94*T1^9*T2^10 + 662*T1^10*T2^10 - 
     255*T1^11*T2^10 + 400*T1^12*T2^10 - 170*T1^13*T2^10 - 154*T1^14*T2^10 + 
     50*T1^15*T2^10 + 22*T1^16*T2^10 - 32*T1^3*T2^11 - 30*T1^4*T2^11 + 
     259*T1^5*T2^11 - 170*T1^6*T2^11 - 24*T1^7*T2^11 - 130*T1^8*T2^11 - 
     255*T1^9*T2^11 - 255*T1^10*T2^11 - 130*T1^11*T2^11 - 24*T1^12*T2^11 - 
     170*T1^13*T2^11 + 259*T1^14*T2^11 - 30*T1^15*T2^11 - 32*T1^16*T2^11 + 
     38*T1^4*T2^12 - 30*T1^5*T2^12 - 154*T1^6*T2^12 + 144*T1^7*T2^12 + 
     68*T1^8*T2^12 - 24*T1^9*T2^12 + 400*T1^10*T2^12 - 24*T1^11*T2^12 + 
     68*T1^12*T2^12 + 144*T1^13*T2^12 - 154*T1^14*T2^12 - 30*T1^15*T2^12 + 
     38*T1^16*T2^12 - 32*T1^5*T2^13 + 50*T1^6*T2^13 + 94*T1^7*T2^13 - 
     208*T1^8*T2^13 + 144*T1^9*T2^13 - 170*T1^10*T2^13 - 170*T1^11*T2^13 + 
     144*T1^12*T2^13 - 208*T1^13*T2^13 + 94*T1^14*T2^13 + 50*T1^15*T2^13 - 
     32*T1^16*T2^13 + 22*T1^6*T2^14 - 60*T1^7*T2^14 + 13*T1^8*T2^14 + 
     94*T1^9*T2^14 - 154*T1^10*T2^14 + 259*T1^11*T2^14 - 154*T1^12*T2^14 + 
     94*T1^13*T2^14 + 13*T1^14*T2^14 - 60*T1^15*T2^14 + 22*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 60*T1^9*T2^15 + 50*T1^10*T2^15 - 
     30*T1^11*T2^15 - 30*T1^12*T2^15 + 50*T1^13*T2^15 - 60*T1^14*T2^15 + 
     40*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)/(T1^8*T2^8)}, 
 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, 
   (1 - 3*T1 + 2*T1^2 - T1^3 + 2*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 4*T1*T2 + 
     9*T1^2*T2 - 6*T1^3*T2 - 6*T1^4*T2 + 9*T1^5*T2 + 4*T1^6*T2 - 3*T1^7*T2 + 
     2*T2^2 + 9*T1*T2^2 - 21*T1^2*T2^2 - 53*T1^3*T2^2 + 89*T1^4*T2^2 - 
     53*T1^5*T2^2 - 21*T1^6*T2^2 + 9*T1^7*T2^2 + 2*T1^8*T2^2 - T2^3 - 
     6*T1*T2^3 - 53*T1^2*T2^3 + 216*T1^3*T2^3 - 97*T1^4*T2^3 - 97*T1^5*T2^3 + 
     216*T1^6*T2^3 - 53*T1^7*T2^3 - 6*T1^8*T2^3 - T1^9*T2^3 + 2*T2^4 - 
     6*T1*T2^4 + 89*T1^2*T2^4 - 97*T1^3*T2^4 - 373*T1^4*T2^4 + 
     511*T1^5*T2^4 - 373*T1^6*T2^4 - 97*T1^7*T2^4 + 89*T1^8*T2^4 - 
     6*T1^9*T2^4 + 2*T1^10*T2^4 - 3*T2^5 + 9*T1*T2^5 - 53*T1^2*T2^5 - 
     97*T1^3*T2^5 + 511*T1^4*T2^5 - 164*T1^5*T2^5 - 164*T1^6*T2^5 + 
     511*T1^7*T2^5 - 97*T1^8*T2^5 - 53*T1^9*T2^5 + 9*T1^10*T2^5 - 
     3*T1^11*T2^5 + T2^6 + 4*T1*T2^6 - 21*T1^2*T2^6 + 216*T1^3*T2^6 - 
     373*T1^4*T2^6 - 164*T1^5*T2^6 + 204*T1^6*T2^6 - 164*T1^7*T2^6 - 
     373*T1^8*T2^6 + 216*T1^9*T2^6 - 21*T1^10*T2^6 + 4*T1^11*T2^6 + 
     T1^12*T2^6 - 3*T1*T2^7 + 9*T1^2*T2^7 - 53*T1^3*T2^7 - 97*T1^4*T2^7 + 
     511*T1^5*T2^7 - 164*T1^6*T2^7 - 164*T1^7*T2^7 + 511*T1^8*T2^7 - 
     97*T1^9*T2^7 - 53*T1^10*T2^7 + 9*T1^11*T2^7 - 3*T1^12*T2^7 + 
     2*T1^2*T2^8 - 6*T1^3*T2^8 + 89*T1^4*T2^8 - 97*T1^5*T2^8 - 
     373*T1^6*T2^8 + 511*T1^7*T2^8 - 373*T1^8*T2^8 - 97*T1^9*T2^8 + 
     89*T1^10*T2^8 - 6*T1^11*T2^8 + 2*T1^12*T2^8 - T1^3*T2^9 - 6*T1^4*T2^9 - 
     53*T1^5*T2^9 + 216*T1^6*T2^9 - 97*T1^7*T2^9 - 97*T1^8*T2^9 + 
     216*T1^9*T2^9 - 53*T1^10*T2^9 - 6*T1^11*T2^9 - T1^12*T2^9 + 
     2*T1^4*T2^10 + 9*T1^5*T2^10 - 21*T1^6*T2^10 - 53*T1^7*T2^10 + 
     89*T1^8*T2^10 - 53*T1^9*T2^10 - 21*T1^10*T2^10 + 9*T1^11*T2^10 + 
     2*T1^12*T2^10 - 3*T1^5*T2^11 + 4*T1^6*T2^11 + 9*T1^7*T2^11 - 
     6*T1^8*T2^11 - 6*T1^9*T2^11 + 9*T1^10*T2^11 + 4*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)/(T1^6*T2^6)}, 
 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), -((1 - 6*T1 + 16*T1^2 - 27*T1^3 + 31*T1^4 - 27*T1^5 + 16*T1^6 - 
      6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 60*T1^2*T2 + 66*T1^3*T2 - 
      24*T1^4*T2 - 24*T1^5*T2 + 66*T1^6*T2 - 60*T1^7*T2 + 30*T1^8*T2 - 
      6*T1^9*T2 + 16*T2^2 - 60*T1*T2^2 + 55*T1^2*T2^2 + 55*T1^3*T2^2 - 
      235*T1^4*T2^2 + 273*T1^5*T2^2 - 235*T1^6*T2^2 + 55*T1^7*T2^2 + 
      55*T1^8*T2^2 - 60*T1^9*T2^2 + 16*T1^10*T2^2 - 27*T2^3 + 66*T1*T2^3 + 
      55*T1^2*T2^3 - 296*T1^3*T2^3 + 433*T1^4*T2^3 - 124*T1^5*T2^3 - 
      124*T1^6*T2^3 + 433*T1^7*T2^3 - 296*T1^8*T2^3 + 55*T1^9*T2^3 + 
      66*T1^10*T2^3 - 27*T1^11*T2^3 + 31*T2^4 - 24*T1*T2^4 - 235*T1^2*T2^4 + 
      433*T1^3*T2^4 - 205*T1^4*T2^4 - 539*T1^5*T2^4 + 591*T1^6*T2^4 - 
      539*T1^7*T2^4 - 205*T1^8*T2^4 + 433*T1^9*T2^4 - 235*T1^10*T2^4 - 
      24*T1^11*T2^4 + 31*T1^12*T2^4 - 27*T2^5 - 24*T1*T2^5 + 273*T1^2*T2^5 - 
      124*T1^3*T2^5 - 539*T1^4*T2^5 + 1152*T1^5*T2^5 - 296*T1^6*T2^5 - 
      296*T1^7*T2^5 + 1152*T1^8*T2^5 - 539*T1^9*T2^5 - 124*T1^10*T2^5 + 
      273*T1^11*T2^5 - 24*T1^12*T2^5 - 27*T1^13*T2^5 + 16*T2^6 + 66*T1*T2^6 - 
      235*T1^2*T2^6 - 124*T1^3*T2^6 + 591*T1^4*T2^6 - 296*T1^5*T2^6 - 
      1310*T1^6*T2^6 + 1456*T1^7*T2^6 - 1310*T1^8*T2^6 - 296*T1^9*T2^6 + 
      591*T1^10*T2^6 - 124*T1^11*T2^6 - 235*T1^12*T2^6 + 66*T1^13*T2^6 + 
      16*T1^14*T2^6 - 6*T2^7 - 60*T1*T2^7 + 55*T1^2*T2^7 + 433*T1^3*T2^7 - 
      539*T1^4*T2^7 - 296*T1^5*T2^7 + 1456*T1^6*T2^7 - 392*T1^7*T2^7 - 
      392*T1^8*T2^7 + 1456*T1^9*T2^7 - 296*T1^10*T2^7 - 539*T1^11*T2^7 + 
      433*T1^12*T2^7 + 55*T1^13*T2^7 - 60*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 
      30*T1*T2^8 + 55*T1^2*T2^8 - 296*T1^3*T2^8 - 205*T1^4*T2^8 + 
      1152*T1^5*T2^8 - 1310*T1^6*T2^8 - 392*T1^7*T2^8 + 576*T1^8*T2^8 - 
      392*T1^9*T2^8 - 1310*T1^10*T2^8 + 1152*T1^11*T2^8 - 205*T1^12*T2^8 - 
      296*T1^13*T2^8 + 55*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 
      6*T1*T2^9 - 60*T1^2*T2^9 + 55*T1^3*T2^9 + 433*T1^4*T2^9 - 
      539*T1^5*T2^9 - 296*T1^6*T2^9 + 1456*T1^7*T2^9 - 392*T1^8*T2^9 - 
      392*T1^9*T2^9 + 1456*T1^10*T2^9 - 296*T1^11*T2^9 - 539*T1^12*T2^9 + 
      433*T1^13*T2^9 + 55*T1^14*T2^9 - 60*T1^15*T2^9 - 6*T1^16*T2^9 + 
      16*T1^2*T2^10 + 66*T1^3*T2^10 - 235*T1^4*T2^10 - 124*T1^5*T2^10 + 
      591*T1^6*T2^10 - 296*T1^7*T2^10 - 1310*T1^8*T2^10 + 1456*T1^9*T2^10 - 
      1310*T1^10*T2^10 - 296*T1^11*T2^10 + 591*T1^12*T2^10 - 
      124*T1^13*T2^10 - 235*T1^14*T2^10 + 66*T1^15*T2^10 + 16*T1^16*T2^10 - 
      27*T1^3*T2^11 - 24*T1^4*T2^11 + 273*T1^5*T2^11 - 124*T1^6*T2^11 - 
      539*T1^7*T2^11 + 1152*T1^8*T2^11 - 296*T1^9*T2^11 - 296*T1^10*T2^11 + 
      1152*T1^11*T2^11 - 539*T1^12*T2^11 - 124*T1^13*T2^11 + 
      273*T1^14*T2^11 - 24*T1^15*T2^11 - 27*T1^16*T2^11 + 31*T1^4*T2^12 - 
      24*T1^5*T2^12 - 235*T1^6*T2^12 + 433*T1^7*T2^12 - 205*T1^8*T2^12 - 
      539*T1^9*T2^12 + 591*T1^10*T2^12 - 539*T1^11*T2^12 - 205*T1^12*T2^12 + 
      433*T1^13*T2^12 - 235*T1^14*T2^12 - 24*T1^15*T2^12 + 31*T1^16*T2^12 - 
      27*T1^5*T2^13 + 66*T1^6*T2^13 + 55*T1^7*T2^13 - 296*T1^8*T2^13 + 
      433*T1^9*T2^13 - 124*T1^10*T2^13 - 124*T1^11*T2^13 + 433*T1^12*T2^13 - 
      296*T1^13*T2^13 + 55*T1^14*T2^13 + 66*T1^15*T2^13 - 27*T1^16*T2^13 + 
      16*T1^6*T2^14 - 60*T1^7*T2^14 + 55*T1^8*T2^14 + 55*T1^9*T2^14 - 
      235*T1^10*T2^14 + 273*T1^11*T2^14 - 235*T1^12*T2^14 + 55*T1^13*T2^14 + 
      55*T1^14*T2^14 - 60*T1^15*T2^14 + 16*T1^16*T2^14 - 6*T1^7*T2^15 + 
      30*T1^8*T2^15 - 60*T1^9*T2^15 + 66*T1^10*T2^15 - 24*T1^11*T2^15 - 
      24*T1^12*T2^15 + 66*T1^13*T2^15 - 60*T1^14*T2^15 + 30*T1^15*T2^15 - 
      6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 16*T1^10*T2^16 - 
      27*T1^11*T2^16 + 31*T1^12*T2^16 - 27*T1^13*T2^16 + 16*T1^14*T2^16 - 
      6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   (1 - 3*T1 + 3*T1^2 - 3*T1^3 + 3*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 2*T1*T2 + 
     11*T1^2*T2 - 6*T1^3*T2 - 6*T1^4*T2 + 11*T1^5*T2 + 2*T1^6*T2 - 
     3*T1^7*T2 + 3*T2^2 + 11*T1*T2^2 - 23*T1^2*T2^2 - 53*T1^3*T2^2 + 
     87*T1^4*T2^2 - 53*T1^5*T2^2 - 23*T1^6*T2^2 + 11*T1^7*T2^2 + 
     3*T1^8*T2^2 - 3*T2^3 - 6*T1*T2^3 - 53*T1^2*T2^3 + 216*T1^3*T2^3 - 
     95*T1^4*T2^3 - 95*T1^5*T2^3 + 216*T1^6*T2^3 - 53*T1^7*T2^3 - 
     6*T1^8*T2^3 - 3*T1^9*T2^3 + 3*T2^4 - 6*T1*T2^4 + 87*T1^2*T2^4 - 
     95*T1^3*T2^4 - 373*T1^4*T2^4 + 509*T1^5*T2^4 - 373*T1^6*T2^4 - 
     95*T1^7*T2^4 + 87*T1^8*T2^4 - 6*T1^9*T2^4 + 3*T1^10*T2^4 - 3*T2^5 + 
     11*T1*T2^5 - 53*T1^2*T2^5 - 95*T1^3*T2^5 + 509*T1^4*T2^5 - 
     166*T1^5*T2^5 - 166*T1^6*T2^5 + 509*T1^7*T2^5 - 95*T1^8*T2^5 - 
     53*T1^9*T2^5 + 11*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 2*T1*T2^6 - 
     23*T1^2*T2^6 + 216*T1^3*T2^6 - 373*T1^4*T2^6 - 166*T1^5*T2^6 + 
     216*T1^6*T2^6 - 166*T1^7*T2^6 - 373*T1^8*T2^6 + 216*T1^9*T2^6 - 
     23*T1^10*T2^6 + 2*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 + 11*T1^2*T2^7 - 
     53*T1^3*T2^7 - 95*T1^4*T2^7 + 509*T1^5*T2^7 - 166*T1^6*T2^7 - 
     166*T1^7*T2^7 + 509*T1^8*T2^7 - 95*T1^9*T2^7 - 53*T1^10*T2^7 + 
     11*T1^11*T2^7 - 3*T1^12*T2^7 + 3*T1^2*T2^8 - 6*T1^3*T2^8 + 
     87*T1^4*T2^8 - 95*T1^5*T2^8 - 373*T1^6*T2^8 + 509*T1^7*T2^8 - 
     373*T1^8*T2^8 - 95*T1^9*T2^8 + 87*T1^10*T2^8 - 6*T1^11*T2^8 + 
     3*T1^12*T2^8 - 3*T1^3*T2^9 - 6*T1^4*T2^9 - 53*T1^5*T2^9 + 
     216*T1^6*T2^9 - 95*T1^7*T2^9 - 95*T1^8*T2^9 + 216*T1^9*T2^9 - 
     53*T1^10*T2^9 - 6*T1^11*T2^9 - 3*T1^12*T2^9 + 3*T1^4*T2^10 + 
     11*T1^5*T2^10 - 23*T1^6*T2^10 - 53*T1^7*T2^10 + 87*T1^8*T2^10 - 
     53*T1^9*T2^10 - 23*T1^10*T2^10 + 11*T1^11*T2^10 + 3*T1^12*T2^10 - 
     3*T1^5*T2^11 + 2*T1^6*T2^11 + 11*T1^7*T2^11 - 6*T1^8*T2^11 - 
     6*T1^9*T2^11 + 11*T1^10*T2^11 + 2*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)/(T1^6*T2^6)}, 
 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), -((1 - 6*T1 + 16*T1^2 - 27*T1^3 + 31*T1^4 - 27*T1^5 + 16*T1^6 - 
      6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 60*T1^2*T2 + 66*T1^3*T2 - 
      24*T1^4*T2 - 24*T1^5*T2 + 66*T1^6*T2 - 60*T1^7*T2 + 30*T1^8*T2 - 
      6*T1^9*T2 + 16*T2^2 - 60*T1*T2^2 + 55*T1^2*T2^2 + 55*T1^3*T2^2 - 
      234*T1^4*T2^2 + 271*T1^5*T2^2 - 234*T1^6*T2^2 + 55*T1^7*T2^2 + 
      55*T1^8*T2^2 - 60*T1^9*T2^2 + 16*T1^10*T2^2 - 27*T2^3 + 66*T1*T2^3 + 
      55*T1^2*T2^3 - 298*T1^3*T2^3 + 435*T1^4*T2^3 - 124*T1^5*T2^3 - 
      124*T1^6*T2^3 + 435*T1^7*T2^3 - 298*T1^8*T2^3 + 55*T1^9*T2^3 + 
      66*T1^10*T2^3 - 27*T1^11*T2^3 + 31*T2^4 - 24*T1*T2^4 - 234*T1^2*T2^4 + 
      435*T1^3*T2^4 - 207*T1^4*T2^4 - 539*T1^5*T2^4 + 589*T1^6*T2^4 - 
      539*T1^7*T2^4 - 207*T1^8*T2^4 + 435*T1^9*T2^4 - 234*T1^10*T2^4 - 
      24*T1^11*T2^4 + 31*T1^12*T2^4 - 27*T2^5 - 24*T1*T2^5 + 271*T1^2*T2^5 - 
      124*T1^3*T2^5 - 539*T1^4*T2^5 + 1152*T1^5*T2^5 - 294*T1^6*T2^5 - 
      294*T1^7*T2^5 + 1152*T1^8*T2^5 - 539*T1^9*T2^5 - 124*T1^10*T2^5 + 
      271*T1^11*T2^5 - 24*T1^12*T2^5 - 27*T1^13*T2^5 + 16*T2^6 + 66*T1*T2^6 - 
      234*T1^2*T2^6 - 124*T1^3*T2^6 + 589*T1^4*T2^6 - 294*T1^5*T2^6 - 
      1310*T1^6*T2^6 + 1454*T1^7*T2^6 - 1310*T1^8*T2^6 - 294*T1^9*T2^6 + 
      589*T1^10*T2^6 - 124*T1^11*T2^6 - 234*T1^12*T2^6 + 66*T1^13*T2^6 + 
      16*T1^14*T2^6 - 6*T2^7 - 60*T1*T2^7 + 55*T1^2*T2^7 + 435*T1^3*T2^7 - 
      539*T1^4*T2^7 - 294*T1^5*T2^7 + 1454*T1^6*T2^7 - 394*T1^7*T2^7 - 
      394*T1^8*T2^7 + 1454*T1^9*T2^7 - 294*T1^10*T2^7 - 539*T1^11*T2^7 + 
      435*T1^12*T2^7 + 55*T1^13*T2^7 - 60*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 
      30*T1*T2^8 + 55*T1^2*T2^8 - 298*T1^3*T2^8 - 207*T1^4*T2^8 + 
      1152*T1^5*T2^8 - 1310*T1^6*T2^8 - 394*T1^7*T2^8 + 588*T1^8*T2^8 - 
      394*T1^9*T2^8 - 1310*T1^10*T2^8 + 1152*T1^11*T2^8 - 207*T1^12*T2^8 - 
      298*T1^13*T2^8 + 55*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 
      6*T1*T2^9 - 60*T1^2*T2^9 + 55*T1^3*T2^9 + 435*T1^4*T2^9 - 
      539*T1^5*T2^9 - 294*T1^6*T2^9 + 1454*T1^7*T2^9 - 394*T1^8*T2^9 - 
      394*T1^9*T2^9 + 1454*T1^10*T2^9 - 294*T1^11*T2^9 - 539*T1^12*T2^9 + 
      435*T1^13*T2^9 + 55*T1^14*T2^9 - 60*T1^15*T2^9 - 6*T1^16*T2^9 + 
      16*T1^2*T2^10 + 66*T1^3*T2^10 - 234*T1^4*T2^10 - 124*T1^5*T2^10 + 
      589*T1^6*T2^10 - 294*T1^7*T2^10 - 1310*T1^8*T2^10 + 1454*T1^9*T2^10 - 
      1310*T1^10*T2^10 - 294*T1^11*T2^10 + 589*T1^12*T2^10 - 
      124*T1^13*T2^10 - 234*T1^14*T2^10 + 66*T1^15*T2^10 + 16*T1^16*T2^10 - 
      27*T1^3*T2^11 - 24*T1^4*T2^11 + 271*T1^5*T2^11 - 124*T1^6*T2^11 - 
      539*T1^7*T2^11 + 1152*T1^8*T2^11 - 294*T1^9*T2^11 - 294*T1^10*T2^11 + 
      1152*T1^11*T2^11 - 539*T1^12*T2^11 - 124*T1^13*T2^11 + 
      271*T1^14*T2^11 - 24*T1^15*T2^11 - 27*T1^16*T2^11 + 31*T1^4*T2^12 - 
      24*T1^5*T2^12 - 234*T1^6*T2^12 + 435*T1^7*T2^12 - 207*T1^8*T2^12 - 
      539*T1^9*T2^12 + 589*T1^10*T2^12 - 539*T1^11*T2^12 - 207*T1^12*T2^12 + 
      435*T1^13*T2^12 - 234*T1^14*T2^12 - 24*T1^15*T2^12 + 31*T1^16*T2^12 - 
      27*T1^5*T2^13 + 66*T1^6*T2^13 + 55*T1^7*T2^13 - 298*T1^8*T2^13 + 
      435*T1^9*T2^13 - 124*T1^10*T2^13 - 124*T1^11*T2^13 + 435*T1^12*T2^13 - 
      298*T1^13*T2^13 + 55*T1^14*T2^13 + 66*T1^15*T2^13 - 27*T1^16*T2^13 + 
      16*T1^6*T2^14 - 60*T1^7*T2^14 + 55*T1^8*T2^14 + 55*T1^9*T2^14 - 
      234*T1^10*T2^14 + 271*T1^11*T2^14 - 234*T1^12*T2^14 + 55*T1^13*T2^14 + 
      55*T1^14*T2^14 - 60*T1^15*T2^14 + 16*T1^16*T2^14 - 6*T1^7*T2^15 + 
      30*T1^8*T2^15 - 60*T1^9*T2^15 + 66*T1^10*T2^15 - 24*T1^11*T2^15 - 
      24*T1^12*T2^15 + 66*T1^13*T2^15 - 60*T1^14*T2^15 + 30*T1^15*T2^15 - 
      6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 16*T1^10*T2^16 - 
      27*T1^11*T2^16 + 31*T1^12*T2^16 - 27*T1^13*T2^16 + 16*T1^14*T2^16 - 
      6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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), 
   (1 - 6*T1 + 17*T1^2 - 30*T1^3 + 35*T1^4 - 30*T1^5 + 17*T1^6 - 6*T1^7 + 
     T1^8 - 6*T2 + 30*T1*T2 - 66*T1^2*T2 + 78*T1^3*T2 - 30*T1^4*T2 - 
     30*T1^5*T2 + 78*T1^6*T2 - 66*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 
     17*T2^2 - 66*T1*T2^2 + 90*T1^2*T2^2 + 5*T1^3*T2^2 - 217*T1^4*T2^2 + 
     270*T1^5*T2^2 - 217*T1^6*T2^2 + 5*T1^7*T2^2 + 90*T1^8*T2^2 - 
     66*T1^9*T2^2 + 17*T1^10*T2^2 - 30*T2^3 + 78*T1*T2^3 + 5*T1^2*T2^3 - 
     294*T1^3*T2^3 + 555*T1^4*T2^3 - 177*T1^5*T2^3 - 177*T1^6*T2^3 + 
     555*T1^7*T2^3 - 294*T1^8*T2^3 + 5*T1^9*T2^3 + 78*T1^10*T2^3 - 
     30*T1^11*T2^3 + 35*T2^4 - 30*T1*T2^4 - 217*T1^2*T2^4 + 555*T1^3*T2^4 - 
     394*T1^4*T2^4 - 784*T1^5*T2^4 + 950*T1^6*T2^4 - 784*T1^7*T2^4 - 
     394*T1^8*T2^4 + 555*T1^9*T2^4 - 217*T1^10*T2^4 - 30*T1^11*T2^4 + 
     35*T1^12*T2^4 - 30*T2^5 - 30*T1*T2^5 + 270*T1^2*T2^5 - 177*T1^3*T2^5 - 
     784*T1^4*T2^5 + 2090*T1^5*T2^5 - 643*T1^6*T2^5 - 643*T1^7*T2^5 + 
     2090*T1^8*T2^5 - 784*T1^9*T2^5 - 177*T1^10*T2^5 + 270*T1^11*T2^5 - 
     30*T1^12*T2^5 - 30*T1^13*T2^5 + 17*T2^6 + 78*T1*T2^6 - 217*T1^2*T2^6 - 
     177*T1^3*T2^6 + 950*T1^4*T2^6 - 643*T1^5*T2^6 - 2775*T1^6*T2^6 + 
     3433*T1^7*T2^6 - 2775*T1^8*T2^6 - 643*T1^9*T2^6 + 950*T1^10*T2^6 - 
     177*T1^11*T2^6 - 217*T1^12*T2^6 + 78*T1^13*T2^6 + 17*T1^14*T2^6 - 
     6*T2^7 - 66*T1*T2^7 + 5*T1^2*T2^7 + 555*T1^3*T2^7 - 784*T1^4*T2^7 - 
     643*T1^5*T2^7 + 3433*T1^6*T2^7 - 1188*T1^7*T2^7 - 1188*T1^8*T2^7 + 
     3433*T1^9*T2^7 - 643*T1^10*T2^7 - 784*T1^11*T2^7 + 555*T1^12*T2^7 + 
     5*T1^13*T2^7 - 66*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 
     90*T1^2*T2^8 - 294*T1^3*T2^8 - 394*T1^4*T2^8 + 2090*T1^5*T2^8 - 
     2775*T1^6*T2^8 - 1188*T1^7*T2^8 + 2088*T1^8*T2^8 - 1188*T1^9*T2^8 - 
     2775*T1^10*T2^8 + 2090*T1^11*T2^8 - 394*T1^12*T2^8 - 294*T1^13*T2^8 + 
     90*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 66*T1^2*T2^9 + 
     5*T1^3*T2^9 + 555*T1^4*T2^9 - 784*T1^5*T2^9 - 643*T1^6*T2^9 + 
     3433*T1^7*T2^9 - 1188*T1^8*T2^9 - 1188*T1^9*T2^9 + 3433*T1^10*T2^9 - 
     643*T1^11*T2^9 - 784*T1^12*T2^9 + 555*T1^13*T2^9 + 5*T1^14*T2^9 - 
     66*T1^15*T2^9 - 6*T1^16*T2^9 + 17*T1^2*T2^10 + 78*T1^3*T2^10 - 
     217*T1^4*T2^10 - 177*T1^5*T2^10 + 950*T1^6*T2^10 - 643*T1^7*T2^10 - 
     2775*T1^8*T2^10 + 3433*T1^9*T2^10 - 2775*T1^10*T2^10 - 643*T1^11*T2^10 + 
     950*T1^12*T2^10 - 177*T1^13*T2^10 - 217*T1^14*T2^10 + 78*T1^15*T2^10 + 
     17*T1^16*T2^10 - 30*T1^3*T2^11 - 30*T1^4*T2^11 + 270*T1^5*T2^11 - 
     177*T1^6*T2^11 - 784*T1^7*T2^11 + 2090*T1^8*T2^11 - 643*T1^9*T2^11 - 
     643*T1^10*T2^11 + 2090*T1^11*T2^11 - 784*T1^12*T2^11 - 177*T1^13*T2^11 + 
     270*T1^14*T2^11 - 30*T1^15*T2^11 - 30*T1^16*T2^11 + 35*T1^4*T2^12 - 
     30*T1^5*T2^12 - 217*T1^6*T2^12 + 555*T1^7*T2^12 - 394*T1^8*T2^12 - 
     784*T1^9*T2^12 + 950*T1^10*T2^12 - 784*T1^11*T2^12 - 394*T1^12*T2^12 + 
     555*T1^13*T2^12 - 217*T1^14*T2^12 - 30*T1^15*T2^12 + 35*T1^16*T2^12 - 
     30*T1^5*T2^13 + 78*T1^6*T2^13 + 5*T1^7*T2^13 - 294*T1^8*T2^13 + 
     555*T1^9*T2^13 - 177*T1^10*T2^13 - 177*T1^11*T2^13 + 555*T1^12*T2^13 - 
     294*T1^13*T2^13 + 5*T1^14*T2^13 + 78*T1^15*T2^13 - 30*T1^16*T2^13 + 
     17*T1^6*T2^14 - 66*T1^7*T2^14 + 90*T1^8*T2^14 + 5*T1^9*T2^14 - 
     217*T1^10*T2^14 + 270*T1^11*T2^14 - 217*T1^12*T2^14 + 5*T1^13*T2^14 + 
     90*T1^14*T2^14 - 66*T1^15*T2^14 + 17*T1^16*T2^14 - 6*T1^7*T2^15 + 
     30*T1^8*T2^15 - 66*T1^9*T2^15 + 78*T1^10*T2^15 - 30*T1^11*T2^15 - 
     30*T1^12*T2^15 + 78*T1^13*T2^15 - 66*T1^14*T2^15 + 30*T1^15*T2^15 - 
     6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 17*T1^10*T2^16 - 
     30*T1^11*T2^16 + 35*T1^12*T2^16 - 30*T1^13*T2^16 + 17*T1^14*T2^16 - 
     6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 256] -> 
  {-((2 - 12*T + 31*T^2 - 43*T^3 + 31*T^4 - 12*T^5 + 2*T^6)/T^3), 
   (1 - 6*T1 + 16*T1^2 - 23*T1^3 + 16*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     30*T1*T2 - 60*T1^2*T2 + 42*T1^3*T2 + 42*T1^4*T2 - 60*T1^5*T2 + 
     30*T1^6*T2 - 6*T1^7*T2 + 16*T2^2 - 60*T1*T2^2 + 62*T1^2*T2^2 + 
     100*T1^3*T2^2 - 318*T1^4*T2^2 + 100*T1^5*T2^2 + 62*T1^6*T2^2 - 
     60*T1^7*T2^2 + 16*T1^8*T2^2 - 23*T2^3 + 42*T1*T2^3 + 100*T1^2*T2^3 - 
     472*T1^3*T2^3 + 530*T1^4*T2^3 + 530*T1^5*T2^3 - 472*T1^6*T2^3 + 
     100*T1^7*T2^3 + 42*T1^8*T2^3 - 23*T1^9*T2^3 + 16*T2^4 + 42*T1*T2^4 - 
     318*T1^2*T2^4 + 530*T1^3*T2^4 + 383*T1^4*T2^4 - 2281*T1^5*T2^4 + 
     383*T1^6*T2^4 + 530*T1^7*T2^4 - 318*T1^8*T2^4 + 42*T1^9*T2^4 + 
     16*T1^10*T2^4 - 6*T2^5 - 60*T1*T2^5 + 100*T1^2*T2^5 + 530*T1^3*T2^5 - 
     2281*T1^4*T2^5 + 2598*T1^5*T2^5 + 2598*T1^6*T2^5 - 2281*T1^7*T2^5 + 
     530*T1^8*T2^5 + 100*T1^9*T2^5 - 60*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     30*T1*T2^6 + 62*T1^2*T2^6 - 472*T1^3*T2^6 + 383*T1^4*T2^6 + 
     2598*T1^5*T2^6 - 7344*T1^6*T2^6 + 2598*T1^7*T2^6 + 383*T1^8*T2^6 - 
     472*T1^9*T2^6 + 62*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
     60*T1^2*T2^7 + 100*T1^3*T2^7 + 530*T1^4*T2^7 - 2281*T1^5*T2^7 + 
     2598*T1^6*T2^7 + 2598*T1^7*T2^7 - 2281*T1^8*T2^7 + 530*T1^9*T2^7 + 
     100*T1^10*T2^7 - 60*T1^11*T2^7 - 6*T1^12*T2^7 + 16*T1^2*T2^8 + 
     42*T1^3*T2^8 - 318*T1^4*T2^8 + 530*T1^5*T2^8 + 383*T1^6*T2^8 - 
     2281*T1^7*T2^8 + 383*T1^8*T2^8 + 530*T1^9*T2^8 - 318*T1^10*T2^8 + 
     42*T1^11*T2^8 + 16*T1^12*T2^8 - 23*T1^3*T2^9 + 42*T1^4*T2^9 + 
     100*T1^5*T2^9 - 472*T1^6*T2^9 + 530*T1^7*T2^9 + 530*T1^8*T2^9 - 
     472*T1^9*T2^9 + 100*T1^10*T2^9 + 42*T1^11*T2^9 - 23*T1^12*T2^9 + 
     16*T1^4*T2^10 - 60*T1^5*T2^10 + 62*T1^6*T2^10 + 100*T1^7*T2^10 - 
     318*T1^8*T2^10 + 100*T1^9*T2^10 + 62*T1^10*T2^10 - 60*T1^11*T2^10 + 
     16*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 60*T1^7*T2^11 + 
     42*T1^8*T2^11 + 42*T1^9*T2^11 - 60*T1^10*T2^11 + 30*T1^11*T2^11 - 
     6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 16*T1^8*T2^12 - 
     23*T1^9*T2^12 + 16*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   -((T1 + T1^5 + T2 - 6*T1*T2 - T1^2*T2 - T1^5*T2 - 6*T1^6*T2 + T1^7*T2 - 
      T1*T2^2 + 34*T1^2*T2^2 - 26*T1^3*T2^2 + 26*T1^4*T2^2 - 26*T1^5*T2^2 + 
      34*T1^6*T2^2 - T1^7*T2^2 - 26*T1^2*T2^3 - 38*T1^3*T2^3 + 14*T1^4*T2^3 + 
      14*T1^5*T2^3 - 38*T1^6*T2^3 - 26*T1^7*T2^3 + 26*T1^2*T2^4 + 
      14*T1^3*T2^4 + 140*T1^4*T2^4 - 170*T1^5*T2^4 + 140*T1^6*T2^4 + 
      14*T1^7*T2^4 + 26*T1^8*T2^4 + T2^5 - T1*T2^5 - 26*T1^2*T2^5 + 
      14*T1^3*T2^5 - 170*T1^4*T2^5 + 44*T1^5*T2^5 + 44*T1^6*T2^5 - 
      170*T1^7*T2^5 + 14*T1^8*T2^5 - 26*T1^9*T2^5 - T1^10*T2^5 + T1^11*T2^5 - 
      6*T1*T2^6 + 34*T1^2*T2^6 - 38*T1^3*T2^6 + 140*T1^4*T2^6 + 
      44*T1^5*T2^6 - 36*T1^6*T2^6 + 44*T1^7*T2^6 + 140*T1^8*T2^6 - 
      38*T1^9*T2^6 + 34*T1^10*T2^6 - 6*T1^11*T2^6 + T1*T2^7 - T1^2*T2^7 - 
      26*T1^3*T2^7 + 14*T1^4*T2^7 - 170*T1^5*T2^7 + 44*T1^6*T2^7 + 
      44*T1^7*T2^7 - 170*T1^8*T2^7 + 14*T1^9*T2^7 - 26*T1^10*T2^7 - 
      T1^11*T2^7 + T1^12*T2^7 + 26*T1^4*T2^8 + 14*T1^5*T2^8 + 140*T1^6*T2^8 - 
      170*T1^7*T2^8 + 140*T1^8*T2^8 + 14*T1^9*T2^8 + 26*T1^10*T2^8 - 
      26*T1^5*T2^9 - 38*T1^6*T2^9 + 14*T1^7*T2^9 + 14*T1^8*T2^9 - 
      38*T1^9*T2^9 - 26*T1^10*T2^9 - T1^5*T2^10 + 34*T1^6*T2^10 - 
      26*T1^7*T2^10 + 26*T1^8*T2^10 - 26*T1^9*T2^10 + 34*T1^10*T2^10 - 
      T1^11*T2^10 + T1^5*T2^11 - 6*T1^6*T2^11 - T1^7*T2^11 - T1^10*T2^11 - 
      6*T1^11*T2^11 + T1^12*T2^11 + T1^7*T2^12 + T1^11*T2^12)/(T1^6*T2^6))}, 
 Knot[11, Alternating, 258] -> 
  {(2 - 9*T + 17*T^2 - 19*T^3 + 17*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (7 - 31*T1 + 58*T1^2 - 65*T1^3 + 58*T1^4 - 31*T1^5 + 7*T1^6 - 31*T2 + 
     106*T1*T2 - 119*T1^2*T2 + 31*T1^3*T2 + 31*T1^4*T2 - 119*T1^5*T2 + 
     106*T1^6*T2 - 31*T1^7*T2 + 58*T2^2 - 119*T1*T2^2 - 75*T1^2*T2^2 + 
     364*T1^3*T2^2 - 365*T1^4*T2^2 + 364*T1^5*T2^2 - 75*T1^6*T2^2 - 
     119*T1^7*T2^2 + 58*T1^8*T2^2 - 65*T2^3 + 31*T1*T2^3 + 364*T1^2*T2^3 - 
     536*T1^3*T2^3 + 119*T1^4*T2^3 + 119*T1^5*T2^3 - 536*T1^6*T2^3 + 
     364*T1^7*T2^3 + 31*T1^8*T2^3 - 65*T1^9*T2^3 + 58*T2^4 + 31*T1*T2^4 - 
     365*T1^2*T2^4 + 119*T1^3*T2^4 + 650*T1^4*T2^4 - 784*T1^5*T2^4 + 
     650*T1^6*T2^4 + 119*T1^7*T2^4 - 365*T1^8*T2^4 + 31*T1^9*T2^4 + 
     58*T1^10*T2^4 - 31*T2^5 - 119*T1*T2^5 + 364*T1^2*T2^5 + 119*T1^3*T2^5 - 
     784*T1^4*T2^5 + 376*T1^5*T2^5 + 376*T1^6*T2^5 - 784*T1^7*T2^5 + 
     119*T1^8*T2^5 + 364*T1^9*T2^5 - 119*T1^10*T2^5 - 31*T1^11*T2^5 + 
     7*T2^6 + 106*T1*T2^6 - 75*T1^2*T2^6 - 536*T1^3*T2^6 + 650*T1^4*T2^6 + 
     376*T1^5*T2^6 - 948*T1^6*T2^6 + 376*T1^7*T2^6 + 650*T1^8*T2^6 - 
     536*T1^9*T2^6 - 75*T1^10*T2^6 + 106*T1^11*T2^6 + 7*T1^12*T2^6 - 
     31*T1*T2^7 - 119*T1^2*T2^7 + 364*T1^3*T2^7 + 119*T1^4*T2^7 - 
     784*T1^5*T2^7 + 376*T1^6*T2^7 + 376*T1^7*T2^7 - 784*T1^8*T2^7 + 
     119*T1^9*T2^7 + 364*T1^10*T2^7 - 119*T1^11*T2^7 - 31*T1^12*T2^7 + 
     58*T1^2*T2^8 + 31*T1^3*T2^8 - 365*T1^4*T2^8 + 119*T1^5*T2^8 + 
     650*T1^6*T2^8 - 784*T1^7*T2^8 + 650*T1^8*T2^8 + 119*T1^9*T2^8 - 
     365*T1^10*T2^8 + 31*T1^11*T2^8 + 58*T1^12*T2^8 - 65*T1^3*T2^9 + 
     31*T1^4*T2^9 + 364*T1^5*T2^9 - 536*T1^6*T2^9 + 119*T1^7*T2^9 + 
     119*T1^8*T2^9 - 536*T1^9*T2^9 + 364*T1^10*T2^9 + 31*T1^11*T2^9 - 
     65*T1^12*T2^9 + 58*T1^4*T2^10 - 119*T1^5*T2^10 - 75*T1^6*T2^10 + 
     364*T1^7*T2^10 - 365*T1^8*T2^10 + 364*T1^9*T2^10 - 75*T1^10*T2^10 - 
     119*T1^11*T2^10 + 58*T1^12*T2^10 - 31*T1^5*T2^11 + 106*T1^6*T2^11 - 
     119*T1^7*T2^11 + 31*T1^8*T2^11 + 31*T1^9*T2^11 - 119*T1^10*T2^11 + 
     106*T1^11*T2^11 - 31*T1^12*T2^11 + 7*T1^6*T2^12 - 31*T1^7*T2^12 + 
     58*T1^8*T2^12 - 65*T1^9*T2^12 + 58*T1^10*T2^12 - 31*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, 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), -((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 + 60*T1*T2 - 75*T1^2*T2 + 75*T1^3*T2 - 
      30*T1^4*T2 - 30*T1^5*T2 + 75*T1^6*T2 - 75*T1^7*T2 + 60*T1^8*T2 - 
      15*T1^9*T2 + 30*T2^2 - 75*T1*T2^2 - 41*T1^2*T2^2 + 145*T1^3*T2^2 - 
      307*T1^4*T2^2 + 367*T1^5*T2^2 - 307*T1^6*T2^2 + 145*T1^7*T2^2 - 
      41*T1^8*T2^2 - 75*T1^9*T2^2 + 30*T1^10*T2^2 - 45*T2^3 + 75*T1*T2^3 + 
      145*T1^2*T2^3 - 140*T1^3*T2^3 + 224*T1^4*T2^3 - 85*T1^5*T2^3 - 
      85*T1^6*T2^3 + 224*T1^7*T2^3 - 140*T1^8*T2^3 + 145*T1^9*T2^3 + 
      75*T1^10*T2^3 - 45*T1^11*T2^3 + 51*T2^4 - 30*T1*T2^4 - 307*T1^2*T2^4 + 
      224*T1^3*T2^4 - 463*T1^4*T2^4 + 362*T1^5*T2^4 - 379*T1^6*T2^4 + 
      362*T1^7*T2^4 - 463*T1^8*T2^4 + 224*T1^9*T2^4 - 307*T1^10*T2^4 - 
      30*T1^11*T2^4 + 51*T1^12*T2^4 - 45*T2^5 - 30*T1*T2^5 + 367*T1^2*T2^5 - 
      85*T1^3*T2^5 + 362*T1^4*T2^5 - 58*T1^5*T2^5 + 68*T1^6*T2^5 + 
      68*T1^7*T2^5 - 58*T1^8*T2^5 + 362*T1^9*T2^5 - 85*T1^10*T2^5 + 
      367*T1^11*T2^5 - 30*T1^12*T2^5 - 45*T1^13*T2^5 + 30*T2^6 + 75*T1*T2^6 - 
      307*T1^2*T2^6 - 85*T1^3*T2^6 - 379*T1^4*T2^6 + 68*T1^5*T2^6 - 
      347*T1^6*T2^6 + 281*T1^7*T2^6 - 347*T1^8*T2^6 + 68*T1^9*T2^6 - 
      379*T1^10*T2^6 - 85*T1^11*T2^6 - 307*T1^12*T2^6 + 75*T1^13*T2^6 + 
      30*T1^14*T2^6 - 15*T2^7 - 75*T1*T2^7 + 145*T1^2*T2^7 + 224*T1^3*T2^7 + 
      362*T1^4*T2^7 + 68*T1^5*T2^7 + 281*T1^6*T2^7 - 20*T1^7*T2^7 - 
      20*T1^8*T2^7 + 281*T1^9*T2^7 + 68*T1^10*T2^7 + 362*T1^11*T2^7 + 
      224*T1^12*T2^7 + 145*T1^13*T2^7 - 75*T1^14*T2^7 - 15*T1^15*T2^7 + 
      3*T2^8 + 60*T1*T2^8 - 41*T1^2*T2^8 - 140*T1^3*T2^8 - 463*T1^4*T2^8 - 
      58*T1^5*T2^8 - 347*T1^6*T2^8 - 20*T1^7*T2^8 - 48*T1^8*T2^8 - 
      20*T1^9*T2^8 - 347*T1^10*T2^8 - 58*T1^11*T2^8 - 463*T1^12*T2^8 - 
      140*T1^13*T2^8 - 41*T1^14*T2^8 + 60*T1^15*T2^8 + 3*T1^16*T2^8 - 
      15*T1*T2^9 - 75*T1^2*T2^9 + 145*T1^3*T2^9 + 224*T1^4*T2^9 + 
      362*T1^5*T2^9 + 68*T1^6*T2^9 + 281*T1^7*T2^9 - 20*T1^8*T2^9 - 
      20*T1^9*T2^9 + 281*T1^10*T2^9 + 68*T1^11*T2^9 + 362*T1^12*T2^9 + 
      224*T1^13*T2^9 + 145*T1^14*T2^9 - 75*T1^15*T2^9 - 15*T1^16*T2^9 + 
      30*T1^2*T2^10 + 75*T1^3*T2^10 - 307*T1^4*T2^10 - 85*T1^5*T2^10 - 
      379*T1^6*T2^10 + 68*T1^7*T2^10 - 347*T1^8*T2^10 + 281*T1^9*T2^10 - 
      347*T1^10*T2^10 + 68*T1^11*T2^10 - 379*T1^12*T2^10 - 85*T1^13*T2^10 - 
      307*T1^14*T2^10 + 75*T1^15*T2^10 + 30*T1^16*T2^10 - 45*T1^3*T2^11 - 
      30*T1^4*T2^11 + 367*T1^5*T2^11 - 85*T1^6*T2^11 + 362*T1^7*T2^11 - 
      58*T1^8*T2^11 + 68*T1^9*T2^11 + 68*T1^10*T2^11 - 58*T1^11*T2^11 + 
      362*T1^12*T2^11 - 85*T1^13*T2^11 + 367*T1^14*T2^11 - 30*T1^15*T2^11 - 
      45*T1^16*T2^11 + 51*T1^4*T2^12 - 30*T1^5*T2^12 - 307*T1^6*T2^12 + 
      224*T1^7*T2^12 - 463*T1^8*T2^12 + 362*T1^9*T2^12 - 379*T1^10*T2^12 + 
      362*T1^11*T2^12 - 463*T1^12*T2^12 + 224*T1^13*T2^12 - 307*T1^14*T2^12 - 
      30*T1^15*T2^12 + 51*T1^16*T2^12 - 45*T1^5*T2^13 + 75*T1^6*T2^13 + 
      145*T1^7*T2^13 - 140*T1^8*T2^13 + 224*T1^9*T2^13 - 85*T1^10*T2^13 - 
      85*T1^11*T2^13 + 224*T1^12*T2^13 - 140*T1^13*T2^13 + 145*T1^14*T2^13 + 
      75*T1^15*T2^13 - 45*T1^16*T2^13 + 30*T1^6*T2^14 - 75*T1^7*T2^14 - 
      41*T1^8*T2^14 + 145*T1^9*T2^14 - 307*T1^10*T2^14 + 367*T1^11*T2^14 - 
      307*T1^12*T2^14 + 145*T1^13*T2^14 - 41*T1^14*T2^14 - 75*T1^15*T2^14 + 
      30*T1^16*T2^14 - 15*T1^7*T2^15 + 60*T1^8*T2^15 - 75*T1^9*T2^15 + 
      75*T1^10*T2^15 - 30*T1^11*T2^15 - 30*T1^12*T2^15 + 75*T1^13*T2^15 - 
      75*T1^14*T2^15 + 60*T1^15*T2^15 - 15*T1^16*T2^15 + 3*T1^8*T2^16 - 
      15*T1^9*T2^16 + 30*T1^10*T2^16 - 45*T1^11*T2^16 + 51*T1^12*T2^16 - 
      45*T1^13*T2^16 + 30*T1^14*T2^16 - 15*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[11, Alternating, 260] -> 
  {-((2 - 9*T + 15*T^2 - 17*T^3 + 15*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((17 - 77*T1 + 128*T1^2 - 145*T1^3 + 128*T1^4 - 77*T1^5 + 17*T1^6 - 
      77*T2 + 272*T1*T2 - 231*T1^2*T2 + 77*T1^3*T2 + 77*T1^4*T2 - 
      231*T1^5*T2 + 272*T1^6*T2 - 77*T1^7*T2 + 128*T2^2 - 231*T1*T2^2 - 
      482*T1^2*T2^2 + 961*T1^3*T2^2 - 1060*T1^4*T2^2 + 961*T1^5*T2^2 - 
      482*T1^6*T2^2 - 231*T1^7*T2^2 + 128*T1^8*T2^2 - 145*T2^3 + 77*T1*T2^3 + 
      961*T1^2*T2^3 - 754*T1^3*T2^3 + 203*T1^4*T2^3 + 203*T1^5*T2^3 - 
      754*T1^6*T2^3 + 961*T1^7*T2^3 + 77*T1^8*T2^3 - 145*T1^9*T2^3 + 
      128*T2^4 + 77*T1*T2^4 - 1060*T1^2*T2^4 + 203*T1^3*T2^4 + 
      168*T1^4*T2^4 - 124*T1^5*T2^4 + 168*T1^6*T2^4 + 203*T1^7*T2^4 - 
      1060*T1^8*T2^4 + 77*T1^9*T2^4 + 128*T1^10*T2^4 - 77*T2^5 - 
      231*T1*T2^5 + 961*T1^2*T2^5 + 203*T1^3*T2^5 - 124*T1^4*T2^5 - 
      34*T1^5*T2^5 - 34*T1^6*T2^5 - 124*T1^7*T2^5 + 203*T1^8*T2^5 + 
      961*T1^9*T2^5 - 231*T1^10*T2^5 - 77*T1^11*T2^5 + 17*T2^6 + 
      272*T1*T2^6 - 482*T1^2*T2^6 - 754*T1^3*T2^6 + 168*T1^4*T2^6 - 
      34*T1^5*T2^6 + 120*T1^6*T2^6 - 34*T1^7*T2^6 + 168*T1^8*T2^6 - 
      754*T1^9*T2^6 - 482*T1^10*T2^6 + 272*T1^11*T2^6 + 17*T1^12*T2^6 - 
      77*T1*T2^7 - 231*T1^2*T2^7 + 961*T1^3*T2^7 + 203*T1^4*T2^7 - 
      124*T1^5*T2^7 - 34*T1^6*T2^7 - 34*T1^7*T2^7 - 124*T1^8*T2^7 + 
      203*T1^9*T2^7 + 961*T1^10*T2^7 - 231*T1^11*T2^7 - 77*T1^12*T2^7 + 
      128*T1^2*T2^8 + 77*T1^3*T2^8 - 1060*T1^4*T2^8 + 203*T1^5*T2^8 + 
      168*T1^6*T2^8 - 124*T1^7*T2^8 + 168*T1^8*T2^8 + 203*T1^9*T2^8 - 
      1060*T1^10*T2^8 + 77*T1^11*T2^8 + 128*T1^12*T2^8 - 145*T1^3*T2^9 + 
      77*T1^4*T2^9 + 961*T1^5*T2^9 - 754*T1^6*T2^9 + 203*T1^7*T2^9 + 
      203*T1^8*T2^9 - 754*T1^9*T2^9 + 961*T1^10*T2^9 + 77*T1^11*T2^9 - 
      145*T1^12*T2^9 + 128*T1^4*T2^10 - 231*T1^5*T2^10 - 482*T1^6*T2^10 + 
      961*T1^7*T2^10 - 1060*T1^8*T2^10 + 961*T1^9*T2^10 - 482*T1^10*T2^10 - 
      231*T1^11*T2^10 + 128*T1^12*T2^10 - 77*T1^5*T2^11 + 272*T1^6*T2^11 - 
      231*T1^7*T2^11 + 77*T1^8*T2^11 + 77*T1^9*T2^11 - 231*T1^10*T2^11 + 
      272*T1^11*T2^11 - 77*T1^12*T2^11 + 17*T1^6*T2^12 - 77*T1^7*T2^12 + 
      128*T1^8*T2^12 - 145*T1^9*T2^12 + 128*T1^10*T2^12 - 77*T1^11*T2^12 + 
      17*T1^12*T2^12)/(T1^6*T2^6))}, 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 + 60*T1*T2 - 120*T1^2*T2 + 120*T1^3*T2 - 60*T1^4*T2 - 
      60*T1^5*T2 + 120*T1^6*T2 - 120*T1^7*T2 + 60*T1^8*T2 - 12*T1^9*T2 + 
      32*T2^2 - 120*T1*T2^2 + 111*T1^2*T2^2 + 134*T1^3*T2^2 - 384*T1^4*T2^2 + 
      587*T1^5*T2^2 - 384*T1^6*T2^2 + 134*T1^7*T2^2 + 111*T1^8*T2^2 - 
      120*T1^9*T2^2 + 32*T1^10*T2^2 - 52*T2^3 + 120*T1*T2^3 + 134*T1^2*T2^3 - 
      648*T1^3*T2^3 + 675*T1^4*T2^3 - 456*T1^5*T2^3 - 456*T1^6*T2^3 + 
      675*T1^7*T2^3 - 648*T1^8*T2^3 + 134*T1^9*T2^3 + 120*T1^10*T2^3 - 
      52*T1^11*T2^3 + 62*T2^4 - 60*T1*T2^4 - 384*T1^2*T2^4 + 675*T1^3*T2^4 + 
      157*T1^4*T2^4 - 809*T1^5*T2^4 + 1813*T1^6*T2^4 - 809*T1^7*T2^4 + 
      157*T1^8*T2^4 + 675*T1^9*T2^4 - 384*T1^10*T2^4 - 60*T1^11*T2^4 + 
      62*T1^12*T2^4 - 52*T2^5 - 60*T1*T2^5 + 587*T1^2*T2^5 - 456*T1^3*T2^5 - 
      809*T1^4*T2^5 + 828*T1^5*T2^5 - 1054*T1^6*T2^5 - 1054*T1^7*T2^5 + 
      828*T1^8*T2^5 - 809*T1^9*T2^5 - 456*T1^10*T2^5 + 587*T1^11*T2^5 - 
      60*T1^12*T2^5 - 52*T1^13*T2^5 + 32*T2^6 + 120*T1*T2^6 - 384*T1^2*T2^6 - 
      456*T1^3*T2^6 + 1813*T1^4*T2^6 - 1054*T1^5*T2^6 + 1033*T1^6*T2^6 + 
      849*T1^7*T2^6 + 1033*T1^8*T2^6 - 1054*T1^9*T2^6 + 1813*T1^10*T2^6 - 
      456*T1^11*T2^6 - 384*T1^12*T2^6 + 120*T1^13*T2^6 + 32*T1^14*T2^6 - 
      12*T2^7 - 120*T1*T2^7 + 134*T1^2*T2^7 + 675*T1^3*T2^7 - 809*T1^4*T2^7 - 
      1054*T1^5*T2^7 + 849*T1^6*T2^7 - 1590*T1^7*T2^7 - 1590*T1^8*T2^7 + 
      849*T1^9*T2^7 - 1054*T1^10*T2^7 - 809*T1^11*T2^7 + 675*T1^12*T2^7 + 
      134*T1^13*T2^7 - 120*T1^14*T2^7 - 12*T1^15*T2^7 + 2*T2^8 + 60*T1*T2^8 + 
      111*T1^2*T2^8 - 648*T1^3*T2^8 + 157*T1^4*T2^8 + 828*T1^5*T2^8 + 
      1033*T1^6*T2^8 - 1590*T1^7*T2^8 + 4248*T1^8*T2^8 - 1590*T1^9*T2^8 + 
      1033*T1^10*T2^8 + 828*T1^11*T2^8 + 157*T1^12*T2^8 - 648*T1^13*T2^8 + 
      111*T1^14*T2^8 + 60*T1^15*T2^8 + 2*T1^16*T2^8 - 12*T1*T2^9 - 
      120*T1^2*T2^9 + 134*T1^3*T2^9 + 675*T1^4*T2^9 - 809*T1^5*T2^9 - 
      1054*T1^6*T2^9 + 849*T1^7*T2^9 - 1590*T1^8*T2^9 - 1590*T1^9*T2^9 + 
      849*T1^10*T2^9 - 1054*T1^11*T2^9 - 809*T1^12*T2^9 + 675*T1^13*T2^9 + 
      134*T1^14*T2^9 - 120*T1^15*T2^9 - 12*T1^16*T2^9 + 32*T1^2*T2^10 + 
      120*T1^3*T2^10 - 384*T1^4*T2^10 - 456*T1^5*T2^10 + 1813*T1^6*T2^10 - 
      1054*T1^7*T2^10 + 1033*T1^8*T2^10 + 849*T1^9*T2^10 + 1033*T1^10*T2^10 - 
      1054*T1^11*T2^10 + 1813*T1^12*T2^10 - 456*T1^13*T2^10 - 
      384*T1^14*T2^10 + 120*T1^15*T2^10 + 32*T1^16*T2^10 - 52*T1^3*T2^11 - 
      60*T1^4*T2^11 + 587*T1^5*T2^11 - 456*T1^6*T2^11 - 809*T1^7*T2^11 + 
      828*T1^8*T2^11 - 1054*T1^9*T2^11 - 1054*T1^10*T2^11 + 828*T1^11*T2^11 - 
      809*T1^12*T2^11 - 456*T1^13*T2^11 + 587*T1^14*T2^11 - 60*T1^15*T2^11 - 
      52*T1^16*T2^11 + 62*T1^4*T2^12 - 60*T1^5*T2^12 - 384*T1^6*T2^12 + 
      675*T1^7*T2^12 + 157*T1^8*T2^12 - 809*T1^9*T2^12 + 1813*T1^10*T2^12 - 
      809*T1^11*T2^12 + 157*T1^12*T2^12 + 675*T1^13*T2^12 - 384*T1^14*T2^12 - 
      60*T1^15*T2^12 + 62*T1^16*T2^12 - 52*T1^5*T2^13 + 120*T1^6*T2^13 + 
      134*T1^7*T2^13 - 648*T1^8*T2^13 + 675*T1^9*T2^13 - 456*T1^10*T2^13 - 
      456*T1^11*T2^13 + 675*T1^12*T2^13 - 648*T1^13*T2^13 + 134*T1^14*T2^13 + 
      120*T1^15*T2^13 - 52*T1^16*T2^13 + 32*T1^6*T2^14 - 120*T1^7*T2^14 + 
      111*T1^8*T2^14 + 134*T1^9*T2^14 - 384*T1^10*T2^14 + 587*T1^11*T2^14 - 
      384*T1^12*T2^14 + 134*T1^13*T2^14 + 111*T1^14*T2^14 - 120*T1^15*T2^14 + 
      32*T1^16*T2^14 - 12*T1^7*T2^15 + 60*T1^8*T2^15 - 120*T1^9*T2^15 + 
      120*T1^10*T2^15 - 60*T1^11*T2^15 - 60*T1^12*T2^15 + 120*T1^13*T2^15 - 
      120*T1^14*T2^15 + 60*T1^15*T2^15 - 12*T1^16*T2^15 + 2*T1^8*T2^16 - 
      12*T1^9*T2^16 + 32*T1^10*T2^16 - 52*T1^11*T2^16 + 62*T1^12*T2^16 - 
      52*T1^13*T2^16 + 32*T1^14*T2^16 - 12*T1^15*T2^16 + 2*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[11, Alternating, 262] -> 
  {(2 - 11*T + 25*T^2 - 31*T^3 + 25*T^4 - 11*T^5 + 2*T^6)/T^3, 
   -((9 - 50*T1 + 114*T1^2 - 141*T1^3 + 114*T1^4 - 50*T1^5 + 9*T1^6 - 50*T2 + 
      228*T1*T2 - 356*T1^2*T2 + 150*T1^3*T2 + 150*T1^4*T2 - 356*T1^5*T2 + 
      228*T1^6*T2 - 50*T1^7*T2 + 114*T2^2 - 356*T1*T2^2 + 6*T1^2*T2^2 + 
      1137*T1^3*T2^2 - 1522*T1^4*T2^2 + 1137*T1^5*T2^2 + 6*T1^6*T2^2 - 
      356*T1^7*T2^2 + 114*T1^8*T2^2 - 141*T2^3 + 150*T1*T2^3 + 
      1137*T1^2*T2^3 - 2548*T1^3*T2^3 + 991*T1^4*T2^3 + 991*T1^5*T2^3 - 
      2548*T1^6*T2^3 + 1137*T1^7*T2^3 + 150*T1^8*T2^3 - 141*T1^9*T2^3 + 
      114*T2^4 + 150*T1*T2^4 - 1522*T1^2*T2^4 + 991*T1^3*T2^4 + 
      3402*T1^4*T2^4 - 4654*T1^5*T2^4 + 3402*T1^6*T2^4 + 991*T1^7*T2^4 - 
      1522*T1^8*T2^4 + 150*T1^9*T2^4 + 114*T1^10*T2^4 - 50*T2^5 - 
      356*T1*T2^5 + 1137*T1^2*T2^5 + 991*T1^3*T2^5 - 4654*T1^4*T2^5 + 
      1766*T1^5*T2^5 + 1766*T1^6*T2^5 - 4654*T1^7*T2^5 + 991*T1^8*T2^5 + 
      1137*T1^9*T2^5 - 356*T1^10*T2^5 - 50*T1^11*T2^5 + 9*T2^6 + 
      228*T1*T2^6 + 6*T1^2*T2^6 - 2548*T1^3*T2^6 + 3402*T1^4*T2^6 + 
      1766*T1^5*T2^6 - 3108*T1^6*T2^6 + 1766*T1^7*T2^6 + 3402*T1^8*T2^6 - 
      2548*T1^9*T2^6 + 6*T1^10*T2^6 + 228*T1^11*T2^6 + 9*T1^12*T2^6 - 
      50*T1*T2^7 - 356*T1^2*T2^7 + 1137*T1^3*T2^7 + 991*T1^4*T2^7 - 
      4654*T1^5*T2^7 + 1766*T1^6*T2^7 + 1766*T1^7*T2^7 - 4654*T1^8*T2^7 + 
      991*T1^9*T2^7 + 1137*T1^10*T2^7 - 356*T1^11*T2^7 - 50*T1^12*T2^7 + 
      114*T1^2*T2^8 + 150*T1^3*T2^8 - 1522*T1^4*T2^8 + 991*T1^5*T2^8 + 
      3402*T1^6*T2^8 - 4654*T1^7*T2^8 + 3402*T1^8*T2^8 + 991*T1^9*T2^8 - 
      1522*T1^10*T2^8 + 150*T1^11*T2^8 + 114*T1^12*T2^8 - 141*T1^3*T2^9 + 
      150*T1^4*T2^9 + 1137*T1^5*T2^9 - 2548*T1^6*T2^9 + 991*T1^7*T2^9 + 
      991*T1^8*T2^9 - 2548*T1^9*T2^9 + 1137*T1^10*T2^9 + 150*T1^11*T2^9 - 
      141*T1^12*T2^9 + 114*T1^4*T2^10 - 356*T1^5*T2^10 + 6*T1^6*T2^10 + 
      1137*T1^7*T2^10 - 1522*T1^8*T2^10 + 1137*T1^9*T2^10 + 6*T1^10*T2^10 - 
      356*T1^11*T2^10 + 114*T1^12*T2^10 - 50*T1^5*T2^11 + 228*T1^6*T2^11 - 
      356*T1^7*T2^11 + 150*T1^8*T2^11 + 150*T1^9*T2^11 - 356*T1^10*T2^11 + 
      228*T1^11*T2^11 - 50*T1^12*T2^11 + 9*T1^6*T2^12 - 50*T1^7*T2^12 + 
      114*T1^8*T2^12 - 141*T1^9*T2^12 + 114*T1^10*T2^12 - 50*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, 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)*
     (33 - 64*T1 + 77*T1^2 - 75*T1^3 + 77*T1^4 - 64*T1^5 + 33*T1^6 - 64*T2 + 
      64*T1*T2 - 32*T1^2*T2 - 32*T1^5*T2 + 64*T1^6*T2 - 64*T1^7*T2 + 
      77*T2^2 - 32*T1*T2^2 + 8*T1^2*T2^2 - 11*T1^3*T2^2 + 46*T1^4*T2^2 - 
      11*T1^5*T2^2 + 8*T1^6*T2^2 - 32*T1^7*T2^2 + 77*T1^8*T2^2 - 75*T2^3 - 
      11*T1^2*T2^3 + 16*T1^3*T2^3 - 31*T1^4*T2^3 - 31*T1^5*T2^3 + 
      16*T1^6*T2^3 - 11*T1^7*T2^3 - 75*T1^9*T2^3 + 77*T2^4 + 46*T1^2*T2^4 - 
      31*T1^3*T2^4 + 40*T1^4*T2^4 + 10*T1^5*T2^4 + 40*T1^6*T2^4 - 
      31*T1^7*T2^4 + 46*T1^8*T2^4 + 77*T1^10*T2^4 - 64*T2^5 - 32*T1*T2^5 - 
      11*T1^2*T2^5 - 31*T1^3*T2^5 + 10*T1^4*T2^5 - 36*T1^5*T2^5 - 
      36*T1^6*T2^5 + 10*T1^7*T2^5 - 31*T1^8*T2^5 - 11*T1^9*T2^5 - 
      32*T1^10*T2^5 - 64*T1^11*T2^5 + 33*T2^6 + 64*T1*T2^6 + 8*T1^2*T2^6 + 
      16*T1^3*T2^6 + 40*T1^4*T2^6 - 36*T1^5*T2^6 + 96*T1^6*T2^6 - 
      36*T1^7*T2^6 + 40*T1^8*T2^6 + 16*T1^9*T2^6 + 8*T1^10*T2^6 + 
      64*T1^11*T2^6 + 33*T1^12*T2^6 - 64*T1*T2^7 - 32*T1^2*T2^7 - 
      11*T1^3*T2^7 - 31*T1^4*T2^7 + 10*T1^5*T2^7 - 36*T1^6*T2^7 - 
      36*T1^7*T2^7 + 10*T1^8*T2^7 - 31*T1^9*T2^7 - 11*T1^10*T2^7 - 
      32*T1^11*T2^7 - 64*T1^12*T2^7 + 77*T1^2*T2^8 + 46*T1^4*T2^8 - 
      31*T1^5*T2^8 + 40*T1^6*T2^8 + 10*T1^7*T2^8 + 40*T1^8*T2^8 - 
      31*T1^9*T2^8 + 46*T1^10*T2^8 + 77*T1^12*T2^8 - 75*T1^3*T2^9 - 
      11*T1^5*T2^9 + 16*T1^6*T2^9 - 31*T1^7*T2^9 - 31*T1^8*T2^9 + 
      16*T1^9*T2^9 - 11*T1^10*T2^9 - 75*T1^12*T2^9 + 77*T1^4*T2^10 - 
      32*T1^5*T2^10 + 8*T1^6*T2^10 - 11*T1^7*T2^10 + 46*T1^8*T2^10 - 
      11*T1^9*T2^10 + 8*T1^10*T2^10 - 32*T1^11*T2^10 + 77*T1^12*T2^10 - 
      64*T1^5*T2^11 + 64*T1^6*T2^11 - 32*T1^7*T2^11 - 32*T1^10*T2^11 + 
      64*T1^11*T2^11 - 64*T1^12*T2^11 + 33*T1^6*T2^12 - 64*T1^7*T2^12 + 
      77*T1^8*T2^12 - 75*T1^9*T2^12 + 77*T1^10*T2^12 - 64*T1^11*T2^12 + 
      33*T1^12*T2^12))/(T1^8*T2^8)}, Knot[11, Alternating, 264] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)^3)/T^4), 
   -((1 - 6*T1 + 16*T1^2 - 28*T1^3 + 33*T1^4 - 28*T1^5 + 16*T1^6 - 6*T1^7 + 
      T1^8 - 6*T2 + 30*T1*T2 - 60*T1^2*T2 + 72*T1^3*T2 - 30*T1^4*T2 - 
      30*T1^5*T2 + 72*T1^6*T2 - 60*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 
      16*T2^2 - 60*T1*T2^2 + 57*T1^2*T2^2 + 30*T1^3*T2^2 - 222*T1^4*T2^2 + 
      291*T1^5*T2^2 - 222*T1^6*T2^2 + 30*T1^7*T2^2 + 57*T1^8*T2^2 - 
      60*T1^9*T2^2 + 16*T1^10*T2^2 - 28*T2^3 + 72*T1*T2^3 + 30*T1^2*T2^3 - 
      208*T1^3*T2^3 + 412*T1^4*T2^3 - 158*T1^5*T2^3 - 158*T1^6*T2^3 + 
      412*T1^7*T2^3 - 208*T1^8*T2^3 + 30*T1^9*T2^3 + 72*T1^10*T2^3 - 
      28*T1^11*T2^3 + 33*T2^4 - 30*T1*T2^4 - 222*T1^2*T2^4 + 412*T1^3*T2^4 - 
      491*T1^4*T2^4 - 161*T1^5*T2^4 + 301*T1^6*T2^4 - 161*T1^7*T2^4 - 
      491*T1^8*T2^4 + 412*T1^9*T2^4 - 222*T1^10*T2^4 - 30*T1^11*T2^4 + 
      33*T1^12*T2^4 - 28*T2^5 - 30*T1*T2^5 + 291*T1^2*T2^5 - 158*T1^3*T2^5 - 
      161*T1^4*T2^5 + 1048*T1^5*T2^5 - 359*T1^6*T2^5 - 359*T1^7*T2^5 + 
      1048*T1^8*T2^5 - 161*T1^9*T2^5 - 158*T1^10*T2^5 + 291*T1^11*T2^5 - 
      30*T1^12*T2^5 - 28*T1^13*T2^5 + 16*T2^6 + 72*T1*T2^6 - 222*T1^2*T2^6 - 
      158*T1^3*T2^6 + 301*T1^4*T2^6 - 359*T1^5*T2^6 - 1636*T1^6*T2^6 + 
      2094*T1^7*T2^6 - 1636*T1^8*T2^6 - 359*T1^9*T2^6 + 301*T1^10*T2^6 - 
      158*T1^11*T2^6 - 222*T1^12*T2^6 + 72*T1^13*T2^6 + 16*T1^14*T2^6 - 
      6*T2^7 - 60*T1*T2^7 + 30*T1^2*T2^7 + 412*T1^3*T2^7 - 161*T1^4*T2^7 - 
      359*T1^5*T2^7 + 2094*T1^6*T2^7 - 744*T1^7*T2^7 - 744*T1^8*T2^7 + 
      2094*T1^9*T2^7 - 359*T1^10*T2^7 - 161*T1^11*T2^7 + 412*T1^12*T2^7 + 
      30*T1^13*T2^7 - 60*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 
      57*T1^2*T2^8 - 208*T1^3*T2^8 - 491*T1^4*T2^8 + 1048*T1^5*T2^8 - 
      1636*T1^6*T2^8 - 744*T1^7*T2^8 + 1272*T1^8*T2^8 - 744*T1^9*T2^8 - 
      1636*T1^10*T2^8 + 1048*T1^11*T2^8 - 491*T1^12*T2^8 - 208*T1^13*T2^8 + 
      57*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 60*T1^2*T2^9 + 
      30*T1^3*T2^9 + 412*T1^4*T2^9 - 161*T1^5*T2^9 - 359*T1^6*T2^9 + 
      2094*T1^7*T2^9 - 744*T1^8*T2^9 - 744*T1^9*T2^9 + 2094*T1^10*T2^9 - 
      359*T1^11*T2^9 - 161*T1^12*T2^9 + 412*T1^13*T2^9 + 30*T1^14*T2^9 - 
      60*T1^15*T2^9 - 6*T1^16*T2^9 + 16*T1^2*T2^10 + 72*T1^3*T2^10 - 
      222*T1^4*T2^10 - 158*T1^5*T2^10 + 301*T1^6*T2^10 - 359*T1^7*T2^10 - 
      1636*T1^8*T2^10 + 2094*T1^9*T2^10 - 1636*T1^10*T2^10 - 
      359*T1^11*T2^10 + 301*T1^12*T2^10 - 158*T1^13*T2^10 - 222*T1^14*T2^10 + 
      72*T1^15*T2^10 + 16*T1^16*T2^10 - 28*T1^3*T2^11 - 30*T1^4*T2^11 + 
      291*T1^5*T2^11 - 158*T1^6*T2^11 - 161*T1^7*T2^11 + 1048*T1^8*T2^11 - 
      359*T1^9*T2^11 - 359*T1^10*T2^11 + 1048*T1^11*T2^11 - 161*T1^12*T2^11 - 
      158*T1^13*T2^11 + 291*T1^14*T2^11 - 30*T1^15*T2^11 - 28*T1^16*T2^11 + 
      33*T1^4*T2^12 - 30*T1^5*T2^12 - 222*T1^6*T2^12 + 412*T1^7*T2^12 - 
      491*T1^8*T2^12 - 161*T1^9*T2^12 + 301*T1^10*T2^12 - 161*T1^11*T2^12 - 
      491*T1^12*T2^12 + 412*T1^13*T2^12 - 222*T1^14*T2^12 - 30*T1^15*T2^12 + 
      33*T1^16*T2^12 - 28*T1^5*T2^13 + 72*T1^6*T2^13 + 30*T1^7*T2^13 - 
      208*T1^8*T2^13 + 412*T1^9*T2^13 - 158*T1^10*T2^13 - 158*T1^11*T2^13 + 
      412*T1^12*T2^13 - 208*T1^13*T2^13 + 30*T1^14*T2^13 + 72*T1^15*T2^13 - 
      28*T1^16*T2^13 + 16*T1^6*T2^14 - 60*T1^7*T2^14 + 57*T1^8*T2^14 + 
      30*T1^9*T2^14 - 222*T1^10*T2^14 + 291*T1^11*T2^14 - 222*T1^12*T2^14 + 
      30*T1^13*T2^14 + 57*T1^14*T2^14 - 60*T1^15*T2^14 + 16*T1^16*T2^14 - 
      6*T1^7*T2^15 + 30*T1^8*T2^15 - 60*T1^9*T2^15 + 72*T1^10*T2^15 - 
      30*T1^11*T2^15 - 30*T1^12*T2^15 + 72*T1^13*T2^15 - 60*T1^14*T2^15 + 
      30*T1^15*T2^15 - 6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 
      16*T1^10*T2^16 - 28*T1^11*T2^16 + 33*T1^12*T2^16 - 28*T1^13*T2^16 + 
      16*T1^14*T2^16 - 6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[11, Alternating, 265] -> 
  {-((2 - 11*T + 25*T^2 - 33*T^3 + 25*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((1 - 6*T1 + 14*T1^2 - 19*T1^3 + 14*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
      30*T1*T2 - 48*T1^2*T2 + 30*T1^3*T2 + 30*T1^4*T2 - 48*T1^5*T2 + 
      30*T1^6*T2 - 6*T1^7*T2 + 14*T2^2 - 48*T1*T2^2 + 3*T1^2*T2^2 + 
      118*T1^3*T2^2 - 241*T1^4*T2^2 + 118*T1^5*T2^2 + 3*T1^6*T2^2 - 
      48*T1^7*T2^2 + 14*T1^8*T2^2 - 19*T2^3 + 30*T1*T2^3 + 118*T1^2*T2^3 - 
      208*T1^3*T2^3 + 201*T1^4*T2^3 + 201*T1^5*T2^3 - 208*T1^6*T2^3 + 
      118*T1^7*T2^3 + 30*T1^8*T2^3 - 19*T1^9*T2^3 + 14*T2^4 + 30*T1*T2^4 - 
      241*T1^2*T2^4 + 201*T1^3*T2^4 - 227*T1^4*T2^4 - 165*T1^5*T2^4 - 
      227*T1^6*T2^4 + 201*T1^7*T2^4 - 241*T1^8*T2^4 + 30*T1^9*T2^4 + 
      14*T1^10*T2^4 - 6*T2^5 - 48*T1*T2^5 + 118*T1^2*T2^5 + 201*T1^3*T2^5 - 
      165*T1^4*T2^5 + 426*T1^5*T2^5 + 426*T1^6*T2^5 - 165*T1^7*T2^5 + 
      201*T1^8*T2^5 + 118*T1^9*T2^5 - 48*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
      30*T1*T2^6 + 3*T1^2*T2^6 - 208*T1^3*T2^6 - 227*T1^4*T2^6 + 
      426*T1^5*T2^6 - 1308*T1^6*T2^6 + 426*T1^7*T2^6 - 227*T1^8*T2^6 - 
      208*T1^9*T2^6 + 3*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
      48*T1^2*T2^7 + 118*T1^3*T2^7 + 201*T1^4*T2^7 - 165*T1^5*T2^7 + 
      426*T1^6*T2^7 + 426*T1^7*T2^7 - 165*T1^8*T2^7 + 201*T1^9*T2^7 + 
      118*T1^10*T2^7 - 48*T1^11*T2^7 - 6*T1^12*T2^7 + 14*T1^2*T2^8 + 
      30*T1^3*T2^8 - 241*T1^4*T2^8 + 201*T1^5*T2^8 - 227*T1^6*T2^8 - 
      165*T1^7*T2^8 - 227*T1^8*T2^8 + 201*T1^9*T2^8 - 241*T1^10*T2^8 + 
      30*T1^11*T2^8 + 14*T1^12*T2^8 - 19*T1^3*T2^9 + 30*T1^4*T2^9 + 
      118*T1^5*T2^9 - 208*T1^6*T2^9 + 201*T1^7*T2^9 + 201*T1^8*T2^9 - 
      208*T1^9*T2^9 + 118*T1^10*T2^9 + 30*T1^11*T2^9 - 19*T1^12*T2^9 + 
      14*T1^4*T2^10 - 48*T1^5*T2^10 + 3*T1^6*T2^10 + 118*T1^7*T2^10 - 
      241*T1^8*T2^10 + 118*T1^9*T2^10 + 3*T1^10*T2^10 - 48*T1^11*T2^10 + 
      14*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 48*T1^7*T2^11 + 
      30*T1^8*T2^11 + 30*T1^9*T2^11 - 48*T1^10*T2^11 + 30*T1^11*T2^11 - 
      6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 14*T1^8*T2^12 - 
      19*T1^9*T2^12 + 14*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, 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, 
   -((2 - 10*T1 + 24*T1^2 - 30*T1^3 + 24*T1^4 - 10*T1^5 + 2*T1^6 - 10*T2 + 
      36*T1*T2 - 60*T1^2*T2 + 22*T1^3*T2 + 22*T1^4*T2 - 60*T1^5*T2 + 
      36*T1^6*T2 - 10*T1^7*T2 + 24*T2^2 - 60*T1*T2^2 + 71*T1^2*T2^2 + 
      29*T1^3*T2^2 + 5*T1^4*T2^2 + 29*T1^5*T2^2 + 71*T1^6*T2^2 - 
      60*T1^7*T2^2 + 24*T1^8*T2^2 - 30*T2^3 + 22*T1*T2^3 + 29*T1^2*T2^3 - 
      146*T1^3*T2^3 - 98*T1^4*T2^3 - 98*T1^5*T2^3 - 146*T1^6*T2^3 + 
      29*T1^7*T2^3 + 22*T1^8*T2^3 - 30*T1^9*T2^3 + 24*T2^4 + 22*T1*T2^4 + 
      5*T1^2*T2^4 - 98*T1^3*T2^4 + 471*T1^4*T2^4 + 161*T1^5*T2^4 + 
      471*T1^6*T2^4 - 98*T1^7*T2^4 + 5*T1^8*T2^4 + 22*T1^9*T2^4 + 
      24*T1^10*T2^4 - 10*T2^5 - 60*T1*T2^5 + 29*T1^2*T2^5 - 98*T1^3*T2^5 + 
      161*T1^4*T2^5 - 832*T1^5*T2^5 - 832*T1^6*T2^5 + 161*T1^7*T2^5 - 
      98*T1^8*T2^5 + 29*T1^9*T2^5 - 60*T1^10*T2^5 - 10*T1^11*T2^5 + 2*T2^6 + 
      36*T1*T2^6 + 71*T1^2*T2^6 - 146*T1^3*T2^6 + 471*T1^4*T2^6 - 
      832*T1^5*T2^6 + 2688*T1^6*T2^6 - 832*T1^7*T2^6 + 471*T1^8*T2^6 - 
      146*T1^9*T2^6 + 71*T1^10*T2^6 + 36*T1^11*T2^6 + 2*T1^12*T2^6 - 
      10*T1*T2^7 - 60*T1^2*T2^7 + 29*T1^3*T2^7 - 98*T1^4*T2^7 + 
      161*T1^5*T2^7 - 832*T1^6*T2^7 - 832*T1^7*T2^7 + 161*T1^8*T2^7 - 
      98*T1^9*T2^7 + 29*T1^10*T2^7 - 60*T1^11*T2^7 - 10*T1^12*T2^7 + 
      24*T1^2*T2^8 + 22*T1^3*T2^8 + 5*T1^4*T2^8 - 98*T1^5*T2^8 + 
      471*T1^6*T2^8 + 161*T1^7*T2^8 + 471*T1^8*T2^8 - 98*T1^9*T2^8 + 
      5*T1^10*T2^8 + 22*T1^11*T2^8 + 24*T1^12*T2^8 - 30*T1^3*T2^9 + 
      22*T1^4*T2^9 + 29*T1^5*T2^9 - 146*T1^6*T2^9 - 98*T1^7*T2^9 - 
      98*T1^8*T2^9 - 146*T1^9*T2^9 + 29*T1^10*T2^9 + 22*T1^11*T2^9 - 
      30*T1^12*T2^9 + 24*T1^4*T2^10 - 60*T1^5*T2^10 + 71*T1^6*T2^10 + 
      29*T1^7*T2^10 + 5*T1^8*T2^10 + 29*T1^9*T2^10 + 71*T1^10*T2^10 - 
      60*T1^11*T2^10 + 24*T1^12*T2^10 - 10*T1^5*T2^11 + 36*T1^6*T2^11 - 
      60*T1^7*T2^11 + 22*T1^8*T2^11 + 22*T1^9*T2^11 - 60*T1^10*T2^11 + 
      36*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)/(T1^6*T2^6))}, 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), (1 - 7*T1 + 22*T1^2 - 41*T1^3 + 49*T1^4 - 41*T1^5 + 22*T1^6 - 
     7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 105*T1^2*T2 + 133*T1^3*T2 - 
     56*T1^4*T2 - 56*T1^5*T2 + 133*T1^6*T2 - 105*T1^7*T2 + 42*T1^8*T2 - 
     7*T1^9*T2 + 22*T2^2 - 105*T1*T2^2 + 164*T1^2*T2^2 + 20*T1^3*T2^2 - 
     448*T1^4*T2^2 + 602*T1^5*T2^2 - 448*T1^6*T2^2 + 20*T1^7*T2^2 + 
     164*T1^8*T2^2 - 105*T1^9*T2^2 + 22*T1^10*T2^2 - 41*T2^3 + 133*T1*T2^3 + 
     20*T1^2*T2^3 - 678*T1^3*T2^3 + 1241*T1^4*T2^3 - 486*T1^5*T2^3 - 
     486*T1^6*T2^3 + 1241*T1^7*T2^3 - 678*T1^8*T2^3 + 20*T1^9*T2^3 + 
     133*T1^10*T2^3 - 41*T1^11*T2^3 + 49*T2^4 - 56*T1*T2^4 - 448*T1^2*T2^4 + 
     1241*T1^3*T2^4 - 727*T1^4*T2^4 - 1931*T1^5*T2^4 + 2663*T1^6*T2^4 - 
     1931*T1^7*T2^4 - 727*T1^8*T2^4 + 1241*T1^9*T2^4 - 448*T1^10*T2^4 - 
     56*T1^11*T2^4 + 49*T1^12*T2^4 - 41*T2^5 - 56*T1*T2^5 + 602*T1^2*T2^5 - 
     486*T1^3*T2^5 - 1931*T1^4*T2^5 + 4850*T1^5*T2^5 - 1794*T1^6*T2^5 - 
     1794*T1^7*T2^5 + 4850*T1^8*T2^5 - 1931*T1^9*T2^5 - 486*T1^10*T2^5 + 
     602*T1^11*T2^5 - 56*T1^12*T2^5 - 41*T1^13*T2^5 + 22*T2^6 + 133*T1*T2^6 - 
     448*T1^2*T2^6 - 486*T1^3*T2^6 + 2663*T1^4*T2^6 - 1794*T1^5*T2^6 - 
     6008*T1^6*T2^6 + 8082*T1^7*T2^6 - 6008*T1^8*T2^6 - 1794*T1^9*T2^6 + 
     2663*T1^10*T2^6 - 486*T1^11*T2^6 - 448*T1^12*T2^6 + 133*T1^13*T2^6 + 
     22*T1^14*T2^6 - 7*T2^7 - 105*T1*T2^7 + 20*T1^2*T2^7 + 1241*T1^3*T2^7 - 
     1931*T1^4*T2^7 - 1794*T1^5*T2^7 + 8082*T1^6*T2^7 - 3026*T1^7*T2^7 - 
     3026*T1^8*T2^7 + 8082*T1^9*T2^7 - 1794*T1^10*T2^7 - 1931*T1^11*T2^7 + 
     1241*T1^12*T2^7 + 20*T1^13*T2^7 - 105*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 
     42*T1*T2^8 + 164*T1^2*T2^8 - 678*T1^3*T2^8 - 727*T1^4*T2^8 + 
     4850*T1^5*T2^8 - 6008*T1^6*T2^8 - 3026*T1^7*T2^8 + 5340*T1^8*T2^8 - 
     3026*T1^9*T2^8 - 6008*T1^10*T2^8 + 4850*T1^11*T2^8 - 727*T1^12*T2^8 - 
     678*T1^13*T2^8 + 164*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 
     7*T1*T2^9 - 105*T1^2*T2^9 + 20*T1^3*T2^9 + 1241*T1^4*T2^9 - 
     1931*T1^5*T2^9 - 1794*T1^6*T2^9 + 8082*T1^7*T2^9 - 3026*T1^8*T2^9 - 
     3026*T1^9*T2^9 + 8082*T1^10*T2^9 - 1794*T1^11*T2^9 - 1931*T1^12*T2^9 + 
     1241*T1^13*T2^9 + 20*T1^14*T2^9 - 105*T1^15*T2^9 - 7*T1^16*T2^9 + 
     22*T1^2*T2^10 + 133*T1^3*T2^10 - 448*T1^4*T2^10 - 486*T1^5*T2^10 + 
     2663*T1^6*T2^10 - 1794*T1^7*T2^10 - 6008*T1^8*T2^10 + 8082*T1^9*T2^10 - 
     6008*T1^10*T2^10 - 1794*T1^11*T2^10 + 2663*T1^12*T2^10 - 
     486*T1^13*T2^10 - 448*T1^14*T2^10 + 133*T1^15*T2^10 + 22*T1^16*T2^10 - 
     41*T1^3*T2^11 - 56*T1^4*T2^11 + 602*T1^5*T2^11 - 486*T1^6*T2^11 - 
     1931*T1^7*T2^11 + 4850*T1^8*T2^11 - 1794*T1^9*T2^11 - 1794*T1^10*T2^11 + 
     4850*T1^11*T2^11 - 1931*T1^12*T2^11 - 486*T1^13*T2^11 + 
     602*T1^14*T2^11 - 56*T1^15*T2^11 - 41*T1^16*T2^11 + 49*T1^4*T2^12 - 
     56*T1^5*T2^12 - 448*T1^6*T2^12 + 1241*T1^7*T2^12 - 727*T1^8*T2^12 - 
     1931*T1^9*T2^12 + 2663*T1^10*T2^12 - 1931*T1^11*T2^12 - 
     727*T1^12*T2^12 + 1241*T1^13*T2^12 - 448*T1^14*T2^12 - 56*T1^15*T2^12 + 
     49*T1^16*T2^12 - 41*T1^5*T2^13 + 133*T1^6*T2^13 + 20*T1^7*T2^13 - 
     678*T1^8*T2^13 + 1241*T1^9*T2^13 - 486*T1^10*T2^13 - 486*T1^11*T2^13 + 
     1241*T1^12*T2^13 - 678*T1^13*T2^13 + 20*T1^14*T2^13 + 133*T1^15*T2^13 - 
     41*T1^16*T2^13 + 22*T1^6*T2^14 - 105*T1^7*T2^14 + 164*T1^8*T2^14 + 
     20*T1^9*T2^14 - 448*T1^10*T2^14 + 602*T1^11*T2^14 - 448*T1^12*T2^14 + 
     20*T1^13*T2^14 + 164*T1^14*T2^14 - 105*T1^15*T2^14 + 22*T1^16*T2^14 - 
     7*T1^7*T2^15 + 42*T1^8*T2^15 - 105*T1^9*T2^15 + 133*T1^10*T2^15 - 
     56*T1^11*T2^15 - 56*T1^12*T2^15 + 133*T1^13*T2^15 - 105*T1^14*T2^15 + 
     42*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 
     22*T1^10*T2^16 - 41*T1^11*T2^16 + 49*T1^12*T2^16 - 41*T1^13*T2^16 + 
     22*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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), -((1 - 6*T1 + 17*T1^2 - 29*T1^3 + 33*T1^4 - 29*T1^5 + 17*T1^6 - 
      6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 66*T1^2*T2 + 72*T1^3*T2 - 
      24*T1^4*T2 - 24*T1^5*T2 + 72*T1^6*T2 - 66*T1^7*T2 + 30*T1^8*T2 - 
      6*T1^9*T2 + 17*T2^2 - 66*T1*T2^2 + 88*T1^2*T2^2 + 25*T1^3*T2^2 - 
      212*T1^4*T2^2 + 230*T1^5*T2^2 - 212*T1^6*T2^2 + 25*T1^7*T2^2 + 
      88*T1^8*T2^2 - 66*T1^9*T2^2 + 17*T1^10*T2^2 - 29*T2^3 + 72*T1*T2^3 + 
      25*T1^2*T2^3 - 336*T1^3*T2^3 + 488*T1^4*T2^3 - 108*T1^5*T2^3 - 
      108*T1^6*T2^3 + 488*T1^7*T2^3 - 336*T1^8*T2^3 + 25*T1^9*T2^3 + 
      72*T1^10*T2^3 - 29*T1^11*T2^3 + 33*T2^4 - 24*T1*T2^4 - 212*T1^2*T2^4 + 
      488*T1^3*T2^4 - 104*T1^4*T2^4 - 870*T1^5*T2^4 + 852*T1^6*T2^4 - 
      870*T1^7*T2^4 - 104*T1^8*T2^4 + 488*T1^9*T2^4 - 212*T1^10*T2^4 - 
      24*T1^11*T2^4 + 33*T1^12*T2^4 - 29*T2^5 - 24*T1*T2^5 + 230*T1^2*T2^5 - 
      108*T1^3*T2^5 - 870*T1^4*T2^5 + 1626*T1^5*T2^5 - 371*T1^6*T2^5 - 
      371*T1^7*T2^5 + 1626*T1^8*T2^5 - 870*T1^9*T2^5 - 108*T1^10*T2^5 + 
      230*T1^11*T2^5 - 24*T1^12*T2^5 - 29*T1^13*T2^5 + 17*T2^6 + 72*T1*T2^6 - 
      212*T1^2*T2^6 - 108*T1^3*T2^6 + 852*T1^4*T2^6 - 371*T1^5*T2^6 - 
      1991*T1^6*T2^6 + 2267*T1^7*T2^6 - 1991*T1^8*T2^6 - 371*T1^9*T2^6 + 
      852*T1^10*T2^6 - 108*T1^11*T2^6 - 212*T1^12*T2^6 + 72*T1^13*T2^6 + 
      17*T1^14*T2^6 - 6*T2^7 - 66*T1*T2^7 + 25*T1^2*T2^7 + 488*T1^3*T2^7 - 
      870*T1^4*T2^7 - 371*T1^5*T2^7 + 2267*T1^6*T2^7 - 788*T1^7*T2^7 - 
      788*T1^8*T2^7 + 2267*T1^9*T2^7 - 371*T1^10*T2^7 - 870*T1^11*T2^7 + 
      488*T1^12*T2^7 + 25*T1^13*T2^7 - 66*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 
      30*T1*T2^8 + 88*T1^2*T2^8 - 336*T1^3*T2^8 - 104*T1^4*T2^8 + 
      1626*T1^5*T2^8 - 1991*T1^6*T2^8 - 788*T1^7*T2^8 + 1560*T1^8*T2^8 - 
      788*T1^9*T2^8 - 1991*T1^10*T2^8 + 1626*T1^11*T2^8 - 104*T1^12*T2^8 - 
      336*T1^13*T2^8 + 88*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 
      6*T1*T2^9 - 66*T1^2*T2^9 + 25*T1^3*T2^9 + 488*T1^4*T2^9 - 
      870*T1^5*T2^9 - 371*T1^6*T2^9 + 2267*T1^7*T2^9 - 788*T1^8*T2^9 - 
      788*T1^9*T2^9 + 2267*T1^10*T2^9 - 371*T1^11*T2^9 - 870*T1^12*T2^9 + 
      488*T1^13*T2^9 + 25*T1^14*T2^9 - 66*T1^15*T2^9 - 6*T1^16*T2^9 + 
      17*T1^2*T2^10 + 72*T1^3*T2^10 - 212*T1^4*T2^10 - 108*T1^5*T2^10 + 
      852*T1^6*T2^10 - 371*T1^7*T2^10 - 1991*T1^8*T2^10 + 2267*T1^9*T2^10 - 
      1991*T1^10*T2^10 - 371*T1^11*T2^10 + 852*T1^12*T2^10 - 
      108*T1^13*T2^10 - 212*T1^14*T2^10 + 72*T1^15*T2^10 + 17*T1^16*T2^10 - 
      29*T1^3*T2^11 - 24*T1^4*T2^11 + 230*T1^5*T2^11 - 108*T1^6*T2^11 - 
      870*T1^7*T2^11 + 1626*T1^8*T2^11 - 371*T1^9*T2^11 - 371*T1^10*T2^11 + 
      1626*T1^11*T2^11 - 870*T1^12*T2^11 - 108*T1^13*T2^11 + 
      230*T1^14*T2^11 - 24*T1^15*T2^11 - 29*T1^16*T2^11 + 33*T1^4*T2^12 - 
      24*T1^5*T2^12 - 212*T1^6*T2^12 + 488*T1^7*T2^12 - 104*T1^8*T2^12 - 
      870*T1^9*T2^12 + 852*T1^10*T2^12 - 870*T1^11*T2^12 - 104*T1^12*T2^12 + 
      488*T1^13*T2^12 - 212*T1^14*T2^12 - 24*T1^15*T2^12 + 33*T1^16*T2^12 - 
      29*T1^5*T2^13 + 72*T1^6*T2^13 + 25*T1^7*T2^13 - 336*T1^8*T2^13 + 
      488*T1^9*T2^13 - 108*T1^10*T2^13 - 108*T1^11*T2^13 + 488*T1^12*T2^13 - 
      336*T1^13*T2^13 + 25*T1^14*T2^13 + 72*T1^15*T2^13 - 29*T1^16*T2^13 + 
      17*T1^6*T2^14 - 66*T1^7*T2^14 + 88*T1^8*T2^14 + 25*T1^9*T2^14 - 
      212*T1^10*T2^14 + 230*T1^11*T2^14 - 212*T1^12*T2^14 + 25*T1^13*T2^14 + 
      88*T1^14*T2^14 - 66*T1^15*T2^14 + 17*T1^16*T2^14 - 6*T1^7*T2^15 + 
      30*T1^8*T2^15 - 66*T1^9*T2^15 + 72*T1^10*T2^15 - 24*T1^11*T2^15 - 
      24*T1^12*T2^15 + 72*T1^13*T2^15 - 66*T1^14*T2^15 + 30*T1^15*T2^15 - 
      6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 17*T1^10*T2^16 - 
      29*T1^11*T2^16 + 33*T1^12*T2^16 - 29*T1^13*T2^16 + 17*T1^14*T2^16 - 
      6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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), -((1 - 6*T1 + 18*T1^2 - 32*T1^3 + 37*T1^4 - 32*T1^5 + 18*T1^6 - 
      6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 72*T1^2*T2 + 84*T1^3*T2 - 
      30*T1^4*T2 - 30*T1^5*T2 + 84*T1^6*T2 - 72*T1^7*T2 + 30*T1^8*T2 - 
      6*T1^9*T2 + 18*T2^2 - 72*T1*T2^2 + 123*T1^2*T2^2 - 25*T1^3*T2^2 - 
      187*T1^4*T2^2 + 219*T1^5*T2^2 - 187*T1^6*T2^2 - 25*T1^7*T2^2 + 
      123*T1^8*T2^2 - 72*T1^9*T2^2 + 18*T1^10*T2^2 - 32*T2^3 + 84*T1*T2^3 - 
      25*T1^2*T2^3 - 330*T1^3*T2^3 + 567*T1^4*T2^3 - 148*T1^5*T2^3 - 
      148*T1^6*T2^3 + 567*T1^7*T2^3 - 330*T1^8*T2^3 - 25*T1^9*T2^3 + 
      84*T1^10*T2^3 - 32*T1^11*T2^3 + 37*T2^4 - 30*T1*T2^4 - 187*T1^2*T2^4 + 
      567*T1^3*T2^4 - 154*T1^4*T2^4 - 1105*T1^5*T2^4 + 1188*T1^6*T2^4 - 
      1105*T1^7*T2^4 - 154*T1^8*T2^4 + 567*T1^9*T2^4 - 187*T1^10*T2^4 - 
      30*T1^11*T2^4 + 37*T1^12*T2^4 - 32*T2^5 - 30*T1*T2^5 + 219*T1^2*T2^5 - 
      148*T1^3*T2^5 - 1105*T1^4*T2^5 + 2170*T1^5*T2^5 - 585*T1^6*T2^5 - 
      585*T1^7*T2^5 + 2170*T1^8*T2^5 - 1105*T1^9*T2^5 - 148*T1^10*T2^5 + 
      219*T1^11*T2^5 - 30*T1^12*T2^5 - 32*T1^13*T2^5 + 18*T2^6 + 84*T1*T2^6 - 
      187*T1^2*T2^6 - 148*T1^3*T2^6 + 1188*T1^4*T2^6 - 585*T1^5*T2^6 - 
      2596*T1^6*T2^6 + 3124*T1^7*T2^6 - 2596*T1^8*T2^6 - 585*T1^9*T2^6 + 
      1188*T1^10*T2^6 - 148*T1^11*T2^6 - 187*T1^12*T2^6 + 84*T1^13*T2^6 + 
      18*T1^14*T2^6 - 6*T2^7 - 72*T1*T2^7 - 25*T1^2*T2^7 + 567*T1^3*T2^7 - 
      1105*T1^4*T2^7 - 585*T1^5*T2^7 + 3124*T1^6*T2^7 - 1150*T1^7*T2^7 - 
      1150*T1^8*T2^7 + 3124*T1^9*T2^7 - 585*T1^10*T2^7 - 1105*T1^11*T2^7 + 
      567*T1^12*T2^7 - 25*T1^13*T2^7 - 72*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 
      30*T1*T2^8 + 123*T1^2*T2^8 - 330*T1^3*T2^8 - 154*T1^4*T2^8 + 
      2170*T1^5*T2^8 - 2596*T1^6*T2^8 - 1150*T1^7*T2^8 + 2280*T1^8*T2^8 - 
      1150*T1^9*T2^8 - 2596*T1^10*T2^8 + 2170*T1^11*T2^8 - 154*T1^12*T2^8 - 
      330*T1^13*T2^8 + 123*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 
      6*T1*T2^9 - 72*T1^2*T2^9 - 25*T1^3*T2^9 + 567*T1^4*T2^9 - 
      1105*T1^5*T2^9 - 585*T1^6*T2^9 + 3124*T1^7*T2^9 - 1150*T1^8*T2^9 - 
      1150*T1^9*T2^9 + 3124*T1^10*T2^9 - 585*T1^11*T2^9 - 1105*T1^12*T2^9 + 
      567*T1^13*T2^9 - 25*T1^14*T2^9 - 72*T1^15*T2^9 - 6*T1^16*T2^9 + 
      18*T1^2*T2^10 + 84*T1^3*T2^10 - 187*T1^4*T2^10 - 148*T1^5*T2^10 + 
      1188*T1^6*T2^10 - 585*T1^7*T2^10 - 2596*T1^8*T2^10 + 3124*T1^9*T2^10 - 
      2596*T1^10*T2^10 - 585*T1^11*T2^10 + 1188*T1^12*T2^10 - 
      148*T1^13*T2^10 - 187*T1^14*T2^10 + 84*T1^15*T2^10 + 18*T1^16*T2^10 - 
      32*T1^3*T2^11 - 30*T1^4*T2^11 + 219*T1^5*T2^11 - 148*T1^6*T2^11 - 
      1105*T1^7*T2^11 + 2170*T1^8*T2^11 - 585*T1^9*T2^11 - 585*T1^10*T2^11 + 
      2170*T1^11*T2^11 - 1105*T1^12*T2^11 - 148*T1^13*T2^11 + 
      219*T1^14*T2^11 - 30*T1^15*T2^11 - 32*T1^16*T2^11 + 37*T1^4*T2^12 - 
      30*T1^5*T2^12 - 187*T1^6*T2^12 + 567*T1^7*T2^12 - 154*T1^8*T2^12 - 
      1105*T1^9*T2^12 + 1188*T1^10*T2^12 - 1105*T1^11*T2^12 - 
      154*T1^12*T2^12 + 567*T1^13*T2^12 - 187*T1^14*T2^12 - 30*T1^15*T2^12 + 
      37*T1^16*T2^12 - 32*T1^5*T2^13 + 84*T1^6*T2^13 - 25*T1^7*T2^13 - 
      330*T1^8*T2^13 + 567*T1^9*T2^13 - 148*T1^10*T2^13 - 148*T1^11*T2^13 + 
      567*T1^12*T2^13 - 330*T1^13*T2^13 - 25*T1^14*T2^13 + 84*T1^15*T2^13 - 
      32*T1^16*T2^13 + 18*T1^6*T2^14 - 72*T1^7*T2^14 + 123*T1^8*T2^14 - 
      25*T1^9*T2^14 - 187*T1^10*T2^14 + 219*T1^11*T2^14 - 187*T1^12*T2^14 - 
      25*T1^13*T2^14 + 123*T1^14*T2^14 - 72*T1^15*T2^14 + 18*T1^16*T2^14 - 
      6*T1^7*T2^15 + 30*T1^8*T2^15 - 72*T1^9*T2^15 + 84*T1^10*T2^15 - 
      30*T1^11*T2^15 - 30*T1^12*T2^15 + 84*T1^13*T2^15 - 72*T1^14*T2^15 + 
      30*T1^15*T2^15 - 6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 
      18*T1^10*T2^16 - 32*T1^11*T2^16 + 37*T1^12*T2^16 - 32*T1^13*T2^16 + 
      18*T1^14*T2^16 - 6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[11, Alternating, 270] -> 
  {-((2 - 12*T + 32*T^2 - 45*T^3 + 32*T^4 - 12*T^5 + 2*T^6)/T^3), 
   -((1 - 6*T1 + 16*T1^2 - 23*T1^3 + 16*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
      30*T1*T2 - 60*T1^2*T2 + 42*T1^3*T2 + 42*T1^4*T2 - 60*T1^5*T2 + 
      30*T1^6*T2 - 6*T1^7*T2 + 16*T2^2 - 60*T1*T2^2 + 56*T1^2*T2^2 + 
      91*T1^3*T2^2 - 266*T1^4*T2^2 + 91*T1^5*T2^2 + 56*T1^6*T2^2 - 
      60*T1^7*T2^2 + 16*T1^8*T2^2 - 23*T2^3 + 42*T1*T2^3 + 91*T1^2*T2^3 - 
      314*T1^3*T2^3 + 295*T1^4*T2^3 + 295*T1^5*T2^3 - 314*T1^6*T2^3 + 
      91*T1^7*T2^3 + 42*T1^8*T2^3 - 23*T1^9*T2^3 + 16*T2^4 + 42*T1*T2^4 - 
      266*T1^2*T2^4 + 295*T1^3*T2^4 + 62*T1^4*T2^4 - 690*T1^5*T2^4 + 
      62*T1^6*T2^4 + 295*T1^7*T2^4 - 266*T1^8*T2^4 + 42*T1^9*T2^4 + 
      16*T1^10*T2^4 - 6*T2^5 - 60*T1*T2^5 + 91*T1^2*T2^5 + 295*T1^3*T2^5 - 
      690*T1^4*T2^5 + 684*T1^5*T2^5 + 684*T1^6*T2^5 - 690*T1^7*T2^5 + 
      295*T1^8*T2^5 + 91*T1^9*T2^5 - 60*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
      30*T1*T2^6 + 56*T1^2*T2^6 - 314*T1^3*T2^6 + 62*T1^4*T2^6 + 
      684*T1^5*T2^6 - 1776*T1^6*T2^6 + 684*T1^7*T2^6 + 62*T1^8*T2^6 - 
      314*T1^9*T2^6 + 56*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 
      6*T1*T2^7 - 60*T1^2*T2^7 + 91*T1^3*T2^7 + 295*T1^4*T2^7 - 
      690*T1^5*T2^7 + 684*T1^6*T2^7 + 684*T1^7*T2^7 - 690*T1^8*T2^7 + 
      295*T1^9*T2^7 + 91*T1^10*T2^7 - 60*T1^11*T2^7 - 6*T1^12*T2^7 + 
      16*T1^2*T2^8 + 42*T1^3*T2^8 - 266*T1^4*T2^8 + 295*T1^5*T2^8 + 
      62*T1^6*T2^8 - 690*T1^7*T2^8 + 62*T1^8*T2^8 + 295*T1^9*T2^8 - 
      266*T1^10*T2^8 + 42*T1^11*T2^8 + 16*T1^12*T2^8 - 23*T1^3*T2^9 + 
      42*T1^4*T2^9 + 91*T1^5*T2^9 - 314*T1^6*T2^9 + 295*T1^7*T2^9 + 
      295*T1^8*T2^9 - 314*T1^9*T2^9 + 91*T1^10*T2^9 + 42*T1^11*T2^9 - 
      23*T1^12*T2^9 + 16*T1^4*T2^10 - 60*T1^5*T2^10 + 56*T1^6*T2^10 + 
      91*T1^7*T2^10 - 266*T1^8*T2^10 + 91*T1^9*T2^10 + 56*T1^10*T2^10 - 
      60*T1^11*T2^10 + 16*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 
      60*T1^7*T2^11 + 42*T1^8*T2^11 + 42*T1^9*T2^11 - 60*T1^10*T2^11 + 
      30*T1^11*T2^11 - 6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 
      16*T1^8*T2^12 - 23*T1^9*T2^12 + 16*T1^10*T2^12 - 6*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, Alternating, 271] -> 
  {((1 - T + T^2)*(3 - 14*T + 23*T^2 - 14*T^3 + 3*T^4))/T^3, 
   (30 - 169*T1 + 394*T1^2 - 498*T1^3 + 394*T1^4 - 169*T1^5 + 30*T1^6 - 
     169*T2 + 784*T1*T2 - 1272*T1^2*T2 + 591*T1^3*T2 + 591*T1^4*T2 - 
     1272*T1^5*T2 + 784*T1^6*T2 - 169*T1^7*T2 + 394*T2^2 - 1272*T1*T2^2 + 
     205*T1^2*T2^2 + 3808*T1^3*T2^2 - 5605*T1^4*T2^2 + 3808*T1^5*T2^2 + 
     205*T1^6*T2^2 - 1272*T1^7*T2^2 + 394*T1^8*T2^2 - 498*T2^3 + 
     591*T1*T2^3 + 3808*T1^2*T2^3 - 9152*T1^3*T2^3 + 4244*T1^4*T2^3 + 
     4244*T1^5*T2^3 - 9152*T1^6*T2^3 + 3808*T1^7*T2^3 + 591*T1^8*T2^3 - 
     498*T1^9*T2^3 + 394*T2^4 + 591*T1*T2^4 - 5605*T1^2*T2^4 + 
     4244*T1^3*T2^4 + 11539*T1^4*T2^4 - 18195*T1^5*T2^4 + 11539*T1^6*T2^4 + 
     4244*T1^7*T2^4 - 5605*T1^8*T2^4 + 591*T1^9*T2^4 + 394*T1^10*T2^4 - 
     169*T2^5 - 1272*T1*T2^5 + 3808*T1^2*T2^5 + 4244*T1^3*T2^5 - 
     18195*T1^4*T2^5 + 8496*T1^5*T2^5 + 8496*T1^6*T2^5 - 18195*T1^7*T2^5 + 
     4244*T1^8*T2^5 + 3808*T1^9*T2^5 - 1272*T1^10*T2^5 - 169*T1^11*T2^5 + 
     30*T2^6 + 784*T1*T2^6 + 205*T1^2*T2^6 - 9152*T1^3*T2^6 + 
     11539*T1^4*T2^6 + 8496*T1^5*T2^6 - 16776*T1^6*T2^6 + 8496*T1^7*T2^6 + 
     11539*T1^8*T2^6 - 9152*T1^9*T2^6 + 205*T1^10*T2^6 + 784*T1^11*T2^6 + 
     30*T1^12*T2^6 - 169*T1*T2^7 - 1272*T1^2*T2^7 + 3808*T1^3*T2^7 + 
     4244*T1^4*T2^7 - 18195*T1^5*T2^7 + 8496*T1^6*T2^7 + 8496*T1^7*T2^7 - 
     18195*T1^8*T2^7 + 4244*T1^9*T2^7 + 3808*T1^10*T2^7 - 1272*T1^11*T2^7 - 
     169*T1^12*T2^7 + 394*T1^2*T2^8 + 591*T1^3*T2^8 - 5605*T1^4*T2^8 + 
     4244*T1^5*T2^8 + 11539*T1^6*T2^8 - 18195*T1^7*T2^8 + 11539*T1^8*T2^8 + 
     4244*T1^9*T2^8 - 5605*T1^10*T2^8 + 591*T1^11*T2^8 + 394*T1^12*T2^8 - 
     498*T1^3*T2^9 + 591*T1^4*T2^9 + 3808*T1^5*T2^9 - 9152*T1^6*T2^9 + 
     4244*T1^7*T2^9 + 4244*T1^8*T2^9 - 9152*T1^9*T2^9 + 3808*T1^10*T2^9 + 
     591*T1^11*T2^9 - 498*T1^12*T2^9 + 394*T1^4*T2^10 - 1272*T1^5*T2^10 + 
     205*T1^6*T2^10 + 3808*T1^7*T2^10 - 5605*T1^8*T2^10 + 3808*T1^9*T2^10 + 
     205*T1^10*T2^10 - 1272*T1^11*T2^10 + 394*T1^12*T2^10 - 169*T1^5*T2^11 + 
     784*T1^6*T2^11 - 1272*T1^7*T2^11 + 591*T1^8*T2^11 + 591*T1^9*T2^11 - 
     1272*T1^10*T2^11 + 784*T1^11*T2^11 - 169*T1^12*T2^11 + 30*T1^6*T2^12 - 
     169*T1^7*T2^12 + 394*T1^8*T2^12 - 498*T1^9*T2^12 + 394*T1^10*T2^12 - 
     169*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, Alternating, 272] -> 
  {-((2 - 13*T + 35*T^2 - 49*T^3 + 35*T^4 - 13*T^5 + 2*T^6)/T^3), 
   -((1 - 6*T1 + 16*T1^2 - 23*T1^3 + 16*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
      30*T1*T2 - 60*T1^2*T2 + 42*T1^3*T2 + 42*T1^4*T2 - 60*T1^5*T2 + 
      30*T1^6*T2 - 6*T1^7*T2 + 16*T2^2 - 60*T1*T2^2 + 62*T1^2*T2^2 + 
      78*T1^3*T2^2 - 254*T1^4*T2^2 + 78*T1^5*T2^2 + 62*T1^6*T2^2 - 
      60*T1^7*T2^2 + 16*T1^8*T2^2 - 23*T2^3 + 42*T1*T2^3 + 78*T1^2*T2^3 - 
      310*T1^3*T2^3 + 310*T1^4*T2^3 + 310*T1^5*T2^3 - 310*T1^6*T2^3 + 
      78*T1^7*T2^3 + 42*T1^8*T2^3 - 23*T1^9*T2^3 + 16*T2^4 + 42*T1*T2^4 - 
      254*T1^2*T2^4 + 310*T1^3*T2^4 + 76*T1^4*T2^4 - 806*T1^5*T2^4 + 
      76*T1^6*T2^4 + 310*T1^7*T2^4 - 254*T1^8*T2^4 + 42*T1^9*T2^4 + 
      16*T1^10*T2^4 - 6*T2^5 - 60*T1*T2^5 + 78*T1^2*T2^5 + 310*T1^3*T2^5 - 
      806*T1^4*T2^5 + 828*T1^5*T2^5 + 828*T1^6*T2^5 - 806*T1^7*T2^5 + 
      310*T1^8*T2^5 + 78*T1^9*T2^5 - 60*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
      30*T1*T2^6 + 62*T1^2*T2^6 - 310*T1^3*T2^6 + 76*T1^4*T2^6 + 
      828*T1^5*T2^6 - 2184*T1^6*T2^6 + 828*T1^7*T2^6 + 76*T1^8*T2^6 - 
      310*T1^9*T2^6 + 62*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 
      6*T1*T2^7 - 60*T1^2*T2^7 + 78*T1^3*T2^7 + 310*T1^4*T2^7 - 
      806*T1^5*T2^7 + 828*T1^6*T2^7 + 828*T1^7*T2^7 - 806*T1^8*T2^7 + 
      310*T1^9*T2^7 + 78*T1^10*T2^7 - 60*T1^11*T2^7 - 6*T1^12*T2^7 + 
      16*T1^2*T2^8 + 42*T1^3*T2^8 - 254*T1^4*T2^8 + 310*T1^5*T2^8 + 
      76*T1^6*T2^8 - 806*T1^7*T2^8 + 76*T1^8*T2^8 + 310*T1^9*T2^8 - 
      254*T1^10*T2^8 + 42*T1^11*T2^8 + 16*T1^12*T2^8 - 23*T1^3*T2^9 + 
      42*T1^4*T2^9 + 78*T1^5*T2^9 - 310*T1^6*T2^9 + 310*T1^7*T2^9 + 
      310*T1^8*T2^9 - 310*T1^9*T2^9 + 78*T1^10*T2^9 + 42*T1^11*T2^9 - 
      23*T1^12*T2^9 + 16*T1^4*T2^10 - 60*T1^5*T2^10 + 62*T1^6*T2^10 + 
      78*T1^7*T2^10 - 254*T1^8*T2^10 + 78*T1^9*T2^10 + 62*T1^10*T2^10 - 
      60*T1^11*T2^10 + 16*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 
      60*T1^7*T2^11 + 42*T1^8*T2^11 + 42*T1^9*T2^11 - 60*T1^10*T2^11 + 
      30*T1^11*T2^11 - 6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 
      16*T1^8*T2^12 - 23*T1^9*T2^12 + 16*T1^10*T2^12 - 6*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, Alternating, 273] -> 
  {((1 - T + T^2)*(3 - 13*T + 21*T^2 - 13*T^3 + 3*T^4))/T^3, 
   -((30 - 158*T1 + 360*T1^2 - 452*T1^3 + 360*T1^4 - 158*T1^5 + 30*T1^6 - 
      158*T2 + 680*T1*T2 - 1083*T1^2*T2 + 499*T1^3*T2 + 499*T1^4*T2 - 
      1083*T1^5*T2 + 680*T1^6*T2 - 158*T1^7*T2 + 360*T2^2 - 1083*T1*T2^2 + 
      321*T1^2*T2^2 + 2784*T1^3*T2^2 - 4159*T1^4*T2^2 + 2784*T1^5*T2^2 + 
      321*T1^6*T2^2 - 1083*T1^7*T2^2 + 360*T1^8*T2^2 - 452*T2^3 + 
      499*T1*T2^3 + 2784*T1^2*T2^3 - 6938*T1^3*T2^3 + 3205*T1^4*T2^3 + 
      3205*T1^5*T2^3 - 6938*T1^6*T2^3 + 2784*T1^7*T2^3 + 499*T1^8*T2^3 - 
      452*T1^9*T2^3 + 360*T2^4 + 499*T1*T2^4 - 4159*T1^2*T2^4 + 
      3205*T1^3*T2^4 + 8924*T1^4*T2^4 - 13980*T1^5*T2^4 + 8924*T1^6*T2^4 + 
      3205*T1^7*T2^4 - 4159*T1^8*T2^4 + 499*T1^9*T2^4 + 360*T1^10*T2^4 - 
      158*T2^5 - 1083*T1*T2^5 + 2784*T1^2*T2^5 + 3205*T1^3*T2^5 - 
      13980*T1^4*T2^5 + 6486*T1^5*T2^5 + 6486*T1^6*T2^5 - 13980*T1^7*T2^5 + 
      3205*T1^8*T2^5 + 2784*T1^9*T2^5 - 1083*T1^10*T2^5 - 158*T1^11*T2^5 + 
      30*T2^6 + 680*T1*T2^6 + 321*T1^2*T2^6 - 6938*T1^3*T2^6 + 
      8924*T1^4*T2^6 + 6486*T1^5*T2^6 - 12756*T1^6*T2^6 + 6486*T1^7*T2^6 + 
      8924*T1^8*T2^6 - 6938*T1^9*T2^6 + 321*T1^10*T2^6 + 680*T1^11*T2^6 + 
      30*T1^12*T2^6 - 158*T1*T2^7 - 1083*T1^2*T2^7 + 2784*T1^3*T2^7 + 
      3205*T1^4*T2^7 - 13980*T1^5*T2^7 + 6486*T1^6*T2^7 + 6486*T1^7*T2^7 - 
      13980*T1^8*T2^7 + 3205*T1^9*T2^7 + 2784*T1^10*T2^7 - 1083*T1^11*T2^7 - 
      158*T1^12*T2^7 + 360*T1^2*T2^8 + 499*T1^3*T2^8 - 4159*T1^4*T2^8 + 
      3205*T1^5*T2^8 + 8924*T1^6*T2^8 - 13980*T1^7*T2^8 + 8924*T1^8*T2^8 + 
      3205*T1^9*T2^8 - 4159*T1^10*T2^8 + 499*T1^11*T2^8 + 360*T1^12*T2^8 - 
      452*T1^3*T2^9 + 499*T1^4*T2^9 + 2784*T1^5*T2^9 - 6938*T1^6*T2^9 + 
      3205*T1^7*T2^9 + 3205*T1^8*T2^9 - 6938*T1^9*T2^9 + 2784*T1^10*T2^9 + 
      499*T1^11*T2^9 - 452*T1^12*T2^9 + 360*T1^4*T2^10 - 1083*T1^5*T2^10 + 
      321*T1^6*T2^10 + 2784*T1^7*T2^10 - 4159*T1^8*T2^10 + 2784*T1^9*T2^10 + 
      321*T1^10*T2^10 - 1083*T1^11*T2^10 + 360*T1^12*T2^10 - 158*T1^5*T2^11 + 
      680*T1^6*T2^11 - 1083*T1^7*T2^11 + 499*T1^8*T2^11 + 499*T1^9*T2^11 - 
      1083*T1^10*T2^11 + 680*T1^11*T2^11 - 158*T1^12*T2^11 + 30*T1^6*T2^12 - 
      158*T1^7*T2^12 + 360*T1^8*T2^12 - 452*T1^9*T2^12 + 360*T1^10*T2^12 - 
      158*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   -((1 - 2*T1 + 5*T1^3 - 2*T1^5 + T1^6 - 2*T2 - 4*T1*T2 + 20*T1^2*T2 - 
      26*T1^3*T2 - 26*T1^4*T2 + 20*T1^5*T2 - 4*T1^6*T2 - 2*T1^7*T2 + 
      20*T1*T2^2 - 28*T1^2*T2^2 - 16*T1^3*T2^2 + 146*T1^4*T2^2 - 
      16*T1^5*T2^2 - 28*T1^6*T2^2 + 20*T1^7*T2^2 + 5*T2^3 - 26*T1*T2^3 - 
      16*T1^2*T2^3 + 108*T1^3*T2^3 - 205*T1^4*T2^3 - 205*T1^5*T2^3 + 
      108*T1^6*T2^3 - 16*T1^7*T2^3 - 26*T1^8*T2^3 + 5*T1^9*T2^3 - 
      26*T1*T2^4 + 146*T1^2*T2^4 - 205*T1^3*T2^4 + 103*T1^4*T2^4 + 
      499*T1^5*T2^4 + 103*T1^6*T2^4 - 205*T1^7*T2^4 + 146*T1^8*T2^4 - 
      26*T1^9*T2^4 - 2*T2^5 + 20*T1*T2^5 - 16*T1^2*T2^5 - 205*T1^3*T2^5 + 
      499*T1^4*T2^5 - 700*T1^5*T2^5 - 700*T1^6*T2^5 + 499*T1^7*T2^5 - 
      205*T1^8*T2^5 - 16*T1^9*T2^5 + 20*T1^10*T2^5 - 2*T1^11*T2^5 + T2^6 - 
      4*T1*T2^6 - 28*T1^2*T2^6 + 108*T1^3*T2^6 + 103*T1^4*T2^6 - 
      700*T1^5*T2^6 + 1968*T1^6*T2^6 - 700*T1^7*T2^6 + 103*T1^8*T2^6 + 
      108*T1^9*T2^6 - 28*T1^10*T2^6 - 4*T1^11*T2^6 + T1^12*T2^6 - 2*T1*T2^7 + 
      20*T1^2*T2^7 - 16*T1^3*T2^7 - 205*T1^4*T2^7 + 499*T1^5*T2^7 - 
      700*T1^6*T2^7 - 700*T1^7*T2^7 + 499*T1^8*T2^7 - 205*T1^9*T2^7 - 
      16*T1^10*T2^7 + 20*T1^11*T2^7 - 2*T1^12*T2^7 - 26*T1^3*T2^8 + 
      146*T1^4*T2^8 - 205*T1^5*T2^8 + 103*T1^6*T2^8 + 499*T1^7*T2^8 + 
      103*T1^8*T2^8 - 205*T1^9*T2^8 + 146*T1^10*T2^8 - 26*T1^11*T2^8 + 
      5*T1^3*T2^9 - 26*T1^4*T2^9 - 16*T1^5*T2^9 + 108*T1^6*T2^9 - 
      205*T1^7*T2^9 - 205*T1^8*T2^9 + 108*T1^9*T2^9 - 16*T1^10*T2^9 - 
      26*T1^11*T2^9 + 5*T1^12*T2^9 + 20*T1^5*T2^10 - 28*T1^6*T2^10 - 
      16*T1^7*T2^10 + 146*T1^8*T2^10 - 16*T1^9*T2^10 - 28*T1^10*T2^10 + 
      20*T1^11*T2^10 - 2*T1^5*T2^11 - 4*T1^6*T2^11 + 20*T1^7*T2^11 - 
      26*T1^8*T2^11 - 26*T1^9*T2^11 + 20*T1^10*T2^11 - 4*T1^11*T2^11 - 
      2*T1^12*T2^11 + T1^6*T2^12 - 2*T1^7*T2^12 + 5*T1^9*T2^12 - 
      2*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, Alternating, 275] -> 
  {-((3 - 15*T + 29*T^2 - 35*T^3 + 29*T^4 - 15*T^5 + 3*T^6)/T^3), 
   -((57 - 282*T1 + 533*T1^2 - 637*T1^3 + 533*T1^4 - 282*T1^5 + 57*T1^6 - 
      282*T2 + 1120*T1*T2 - 1266*T1^2*T2 + 530*T1^3*T2 + 530*T1^4*T2 - 
      1266*T1^5*T2 + 1120*T1^6*T2 - 282*T1^7*T2 + 533*T2^2 - 1266*T1*T2^2 - 
      1304*T1^2*T2^2 + 4497*T1^3*T2^2 - 5774*T1^4*T2^2 + 4497*T1^5*T2^2 - 
      1304*T1^6*T2^2 - 1266*T1^7*T2^2 + 533*T1^8*T2^2 - 637*T2^3 + 
      530*T1*T2^3 + 4497*T1^2*T2^3 - 5696*T1^3*T2^3 + 2383*T1^4*T2^3 + 
      2383*T1^5*T2^3 - 5696*T1^6*T2^3 + 4497*T1^7*T2^3 + 530*T1^8*T2^3 - 
      637*T1^9*T2^3 + 533*T2^4 + 530*T1*T2^4 - 5774*T1^2*T2^4 + 
      2383*T1^3*T2^4 + 2712*T1^4*T2^4 - 4614*T1^5*T2^4 + 2712*T1^6*T2^4 + 
      2383*T1^7*T2^4 - 5774*T1^8*T2^4 + 530*T1^9*T2^4 + 533*T1^10*T2^4 - 
      282*T2^5 - 1266*T1*T2^5 + 4497*T1^2*T2^5 + 2383*T1^3*T2^5 - 
      4614*T1^4*T2^5 + 1930*T1^5*T2^5 + 1930*T1^6*T2^5 - 4614*T1^7*T2^5 + 
      2383*T1^8*T2^5 + 4497*T1^9*T2^5 - 1266*T1^10*T2^5 - 282*T1^11*T2^5 + 
      57*T2^6 + 1120*T1*T2^6 - 1304*T1^2*T2^6 - 5696*T1^3*T2^6 + 
      2712*T1^4*T2^6 + 1930*T1^5*T2^6 - 3504*T1^6*T2^6 + 1930*T1^7*T2^6 + 
      2712*T1^8*T2^6 - 5696*T1^9*T2^6 - 1304*T1^10*T2^6 + 1120*T1^11*T2^6 + 
      57*T1^12*T2^6 - 282*T1*T2^7 - 1266*T1^2*T2^7 + 4497*T1^3*T2^7 + 
      2383*T1^4*T2^7 - 4614*T1^5*T2^7 + 1930*T1^6*T2^7 + 1930*T1^7*T2^7 - 
      4614*T1^8*T2^7 + 2383*T1^9*T2^7 + 4497*T1^10*T2^7 - 1266*T1^11*T2^7 - 
      282*T1^12*T2^7 + 533*T1^2*T2^8 + 530*T1^3*T2^8 - 5774*T1^4*T2^8 + 
      2383*T1^5*T2^8 + 2712*T1^6*T2^8 - 4614*T1^7*T2^8 + 2712*T1^8*T2^8 + 
      2383*T1^9*T2^8 - 5774*T1^10*T2^8 + 530*T1^11*T2^8 + 533*T1^12*T2^8 - 
      637*T1^3*T2^9 + 530*T1^4*T2^9 + 4497*T1^5*T2^9 - 5696*T1^6*T2^9 + 
      2383*T1^7*T2^9 + 2383*T1^8*T2^9 - 5696*T1^9*T2^9 + 4497*T1^10*T2^9 + 
      530*T1^11*T2^9 - 637*T1^12*T2^9 + 533*T1^4*T2^10 - 1266*T1^5*T2^10 - 
      1304*T1^6*T2^10 + 4497*T1^7*T2^10 - 5774*T1^8*T2^10 + 4497*T1^9*T2^10 - 
      1304*T1^10*T2^10 - 1266*T1^11*T2^10 + 533*T1^12*T2^10 - 
      282*T1^5*T2^11 + 1120*T1^6*T2^11 - 1266*T1^7*T2^11 + 530*T1^8*T2^11 + 
      530*T1^9*T2^11 - 1266*T1^10*T2^11 + 1120*T1^11*T2^11 - 
      282*T1^12*T2^11 + 57*T1^6*T2^12 - 282*T1^7*T2^12 + 533*T1^8*T2^12 - 
      637*T1^9*T2^12 + 533*T1^10*T2^12 - 282*T1^11*T2^12 + 57*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[11, Alternating, 276] -> 
  {-((3 - 17*T + 37*T^2 - 47*T^3 + 37*T^4 - 17*T^5 + 3*T^6)/T^3), 
   -((57 - 316*T1 + 673*T1^2 - 849*T1^3 + 673*T1^4 - 316*T1^5 + 57*T1^6 - 
      316*T2 + 1442*T1*T2 - 2003*T1^2*T2 + 991*T1^3*T2 + 991*T1^4*T2 - 
      2003*T1^5*T2 + 1442*T1^6*T2 - 316*T1^7*T2 + 673*T2^2 - 2003*T1*T2^2 - 
      973*T1^2*T2^2 + 6883*T1^3*T2^2 - 10235*T1^4*T2^2 + 6883*T1^5*T2^2 - 
      973*T1^6*T2^2 - 2003*T1^7*T2^2 + 673*T1^8*T2^2 - 849*T2^3 + 
      991*T1*T2^3 + 6883*T1^2*T2^3 - 12068*T1^3*T2^3 + 6562*T1^4*T2^3 + 
      6562*T1^5*T2^3 - 12068*T1^6*T2^3 + 6883*T1^7*T2^3 + 991*T1^8*T2^3 - 
      849*T1^9*T2^3 + 673*T2^4 + 991*T1*T2^4 - 10235*T1^2*T2^4 + 
      6562*T1^3*T2^4 + 8018*T1^4*T2^4 - 17956*T1^5*T2^4 + 8018*T1^6*T2^4 + 
      6562*T1^7*T2^4 - 10235*T1^8*T2^4 + 991*T1^9*T2^4 + 673*T1^10*T2^4 - 
      316*T2^5 - 2003*T1*T2^5 + 6883*T1^2*T2^5 + 6562*T1^3*T2^5 - 
      17956*T1^4*T2^5 + 11154*T1^5*T2^5 + 11154*T1^6*T2^5 - 17956*T1^7*T2^5 + 
      6562*T1^8*T2^5 + 6883*T1^9*T2^5 - 2003*T1^10*T2^5 - 316*T1^11*T2^5 + 
      57*T2^6 + 1442*T1*T2^6 - 973*T1^2*T2^6 - 12068*T1^3*T2^6 + 
      8018*T1^4*T2^6 + 11154*T1^5*T2^6 - 25020*T1^6*T2^6 + 11154*T1^7*T2^6 + 
      8018*T1^8*T2^6 - 12068*T1^9*T2^6 - 973*T1^10*T2^6 + 1442*T1^11*T2^6 + 
      57*T1^12*T2^6 - 316*T1*T2^7 - 2003*T1^2*T2^7 + 6883*T1^3*T2^7 + 
      6562*T1^4*T2^7 - 17956*T1^5*T2^7 + 11154*T1^6*T2^7 + 11154*T1^7*T2^7 - 
      17956*T1^8*T2^7 + 6562*T1^9*T2^7 + 6883*T1^10*T2^7 - 2003*T1^11*T2^7 - 
      316*T1^12*T2^7 + 673*T1^2*T2^8 + 991*T1^3*T2^8 - 10235*T1^4*T2^8 + 
      6562*T1^5*T2^8 + 8018*T1^6*T2^8 - 17956*T1^7*T2^8 + 8018*T1^8*T2^8 + 
      6562*T1^9*T2^8 - 10235*T1^10*T2^8 + 991*T1^11*T2^8 + 673*T1^12*T2^8 - 
      849*T1^3*T2^9 + 991*T1^4*T2^9 + 6883*T1^5*T2^9 - 12068*T1^6*T2^9 + 
      6562*T1^7*T2^9 + 6562*T1^8*T2^9 - 12068*T1^9*T2^9 + 6883*T1^10*T2^9 + 
      991*T1^11*T2^9 - 849*T1^12*T2^9 + 673*T1^4*T2^10 - 2003*T1^5*T2^10 - 
      973*T1^6*T2^10 + 6883*T1^7*T2^10 - 10235*T1^8*T2^10 + 6883*T1^9*T2^10 - 
      973*T1^10*T2^10 - 2003*T1^11*T2^10 + 673*T1^12*T2^10 - 316*T1^5*T2^11 + 
      1442*T1^6*T2^11 - 2003*T1^7*T2^11 + 991*T1^8*T2^11 + 991*T1^9*T2^11 - 
      2003*T1^10*T2^11 + 1442*T1^11*T2^11 - 316*T1^12*T2^11 + 57*T1^6*T2^12 - 
      316*T1^7*T2^12 + 673*T1^8*T2^12 - 849*T1^9*T2^12 + 673*T1^10*T2^12 - 
      316*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), -((1 - 6*T1 + 17*T1^2 - 28*T1^3 + 31*T1^4 - 28*T1^5 + 17*T1^6 - 
      6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 66*T1^2*T2 + 66*T1^3*T2 - 
      18*T1^4*T2 - 18*T1^5*T2 + 66*T1^6*T2 - 66*T1^7*T2 + 30*T1^8*T2 - 
      6*T1^9*T2 + 17*T2^2 - 66*T1*T2^2 + 90*T1^2*T2^2 + 39*T1^3*T2^2 - 
      209*T1^4*T2^2 + 186*T1^5*T2^2 - 209*T1^6*T2^2 + 39*T1^7*T2^2 + 
      90*T1^8*T2^2 - 66*T1^9*T2^2 + 17*T1^10*T2^2 - 28*T2^3 + 66*T1*T2^3 + 
      39*T1^2*T2^3 - 404*T1^3*T2^3 + 494*T1^4*T2^3 - 32*T1^5*T2^3 - 
      32*T1^6*T2^3 + 494*T1^7*T2^3 - 404*T1^8*T2^3 + 39*T1^9*T2^3 + 
      66*T1^10*T2^3 - 28*T1^11*T2^3 + 31*T2^4 - 18*T1*T2^4 - 209*T1^2*T2^4 + 
      494*T1^3*T2^4 + 168*T1^4*T2^4 - 1283*T1^5*T2^4 + 944*T1^6*T2^4 - 
      1283*T1^7*T2^4 + 168*T1^8*T2^4 + 494*T1^9*T2^4 - 209*T1^10*T2^4 - 
      18*T1^11*T2^4 + 31*T1^12*T2^4 - 28*T2^5 - 18*T1*T2^5 + 186*T1^2*T2^5 - 
      32*T1^3*T2^5 - 1283*T1^4*T2^5 + 1880*T1^5*T2^5 - 64*T1^6*T2^5 - 
      64*T1^7*T2^5 + 1880*T1^8*T2^5 - 1283*T1^9*T2^5 - 32*T1^10*T2^5 + 
      186*T1^11*T2^5 - 18*T1^12*T2^5 - 28*T1^13*T2^5 + 17*T2^6 + 66*T1*T2^6 - 
      209*T1^2*T2^6 - 32*T1^3*T2^6 + 944*T1^4*T2^6 - 64*T1^5*T2^6 - 
      2618*T1^6*T2^6 + 1944*T1^7*T2^6 - 2618*T1^8*T2^6 - 64*T1^9*T2^6 + 
      944*T1^10*T2^6 - 32*T1^11*T2^6 - 209*T1^12*T2^6 + 66*T1^13*T2^6 + 
      17*T1^14*T2^6 - 6*T2^7 - 66*T1*T2^7 + 39*T1^2*T2^7 + 494*T1^3*T2^7 - 
      1283*T1^4*T2^7 - 64*T1^5*T2^7 + 1944*T1^6*T2^7 + 50*T1^7*T2^7 + 
      50*T1^8*T2^7 + 1944*T1^9*T2^7 - 64*T1^10*T2^7 - 1283*T1^11*T2^7 + 
      494*T1^12*T2^7 + 39*T1^13*T2^7 - 66*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 
      30*T1*T2^8 + 90*T1^2*T2^8 - 404*T1^3*T2^8 + 168*T1^4*T2^8 + 
      1880*T1^5*T2^8 - 2618*T1^6*T2^8 + 50*T1^7*T2^8 - 732*T1^8*T2^8 + 
      50*T1^9*T2^8 - 2618*T1^10*T2^8 + 1880*T1^11*T2^8 + 168*T1^12*T2^8 - 
      404*T1^13*T2^8 + 90*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 
      6*T1*T2^9 - 66*T1^2*T2^9 + 39*T1^3*T2^9 + 494*T1^4*T2^9 - 
      1283*T1^5*T2^9 - 64*T1^6*T2^9 + 1944*T1^7*T2^9 + 50*T1^8*T2^9 + 
      50*T1^9*T2^9 + 1944*T1^10*T2^9 - 64*T1^11*T2^9 - 1283*T1^12*T2^9 + 
      494*T1^13*T2^9 + 39*T1^14*T2^9 - 66*T1^15*T2^9 - 6*T1^16*T2^9 + 
      17*T1^2*T2^10 + 66*T1^3*T2^10 - 209*T1^4*T2^10 - 32*T1^5*T2^10 + 
      944*T1^6*T2^10 - 64*T1^7*T2^10 - 2618*T1^8*T2^10 + 1944*T1^9*T2^10 - 
      2618*T1^10*T2^10 - 64*T1^11*T2^10 + 944*T1^12*T2^10 - 32*T1^13*T2^10 - 
      209*T1^14*T2^10 + 66*T1^15*T2^10 + 17*T1^16*T2^10 - 28*T1^3*T2^11 - 
      18*T1^4*T2^11 + 186*T1^5*T2^11 - 32*T1^6*T2^11 - 1283*T1^7*T2^11 + 
      1880*T1^8*T2^11 - 64*T1^9*T2^11 - 64*T1^10*T2^11 + 1880*T1^11*T2^11 - 
      1283*T1^12*T2^11 - 32*T1^13*T2^11 + 186*T1^14*T2^11 - 18*T1^15*T2^11 - 
      28*T1^16*T2^11 + 31*T1^4*T2^12 - 18*T1^5*T2^12 - 209*T1^6*T2^12 + 
      494*T1^7*T2^12 + 168*T1^8*T2^12 - 1283*T1^9*T2^12 + 944*T1^10*T2^12 - 
      1283*T1^11*T2^12 + 168*T1^12*T2^12 + 494*T1^13*T2^12 - 
      209*T1^14*T2^12 - 18*T1^15*T2^12 + 31*T1^16*T2^12 - 28*T1^5*T2^13 + 
      66*T1^6*T2^13 + 39*T1^7*T2^13 - 404*T1^8*T2^13 + 494*T1^9*T2^13 - 
      32*T1^10*T2^13 - 32*T1^11*T2^13 + 494*T1^12*T2^13 - 404*T1^13*T2^13 + 
      39*T1^14*T2^13 + 66*T1^15*T2^13 - 28*T1^16*T2^13 + 17*T1^6*T2^14 - 
      66*T1^7*T2^14 + 90*T1^8*T2^14 + 39*T1^9*T2^14 - 209*T1^10*T2^14 + 
      186*T1^11*T2^14 - 209*T1^12*T2^14 + 39*T1^13*T2^14 + 90*T1^14*T2^14 - 
      66*T1^15*T2^14 + 17*T1^16*T2^14 - 6*T1^7*T2^15 + 30*T1^8*T2^15 - 
      66*T1^9*T2^15 + 66*T1^10*T2^15 - 18*T1^11*T2^15 - 18*T1^12*T2^15 + 
      66*T1^13*T2^15 - 66*T1^14*T2^15 + 30*T1^15*T2^15 - 6*T1^16*T2^15 + 
      T1^8*T2^16 - 6*T1^9*T2^16 + 17*T1^10*T2^16 - 28*T1^11*T2^16 + 
      31*T1^12*T2^16 - 28*T1^13*T2^16 + 17*T1^14*T2^16 - 6*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, Knot[11, Alternating, 278] -> 
  {-((2 - 12*T + 33*T^2 - 47*T^3 + 33*T^4 - 12*T^5 + 2*T^6)/T^3), 
   -((1 - 6*T1 + 16*T1^2 - 23*T1^3 + 16*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
      30*T1*T2 - 60*T1^2*T2 + 42*T1^3*T2 + 42*T1^4*T2 - 60*T1^5*T2 + 
      30*T1^6*T2 - 6*T1^7*T2 + 16*T2^2 - 60*T1*T2^2 + 64*T1^2*T2^2 + 
      116*T1^3*T2^2 - 358*T1^4*T2^2 + 116*T1^5*T2^2 + 64*T1^6*T2^2 - 
      60*T1^7*T2^2 + 16*T1^8*T2^2 - 23*T2^3 + 42*T1*T2^3 + 116*T1^2*T2^3 - 
      630*T1^3*T2^3 + 686*T1^4*T2^3 + 686*T1^5*T2^3 - 630*T1^6*T2^3 + 
      116*T1^7*T2^3 + 42*T1^8*T2^3 - 23*T1^9*T2^3 + 16*T2^4 + 42*T1*T2^4 - 
      358*T1^2*T2^4 + 686*T1^3*T2^4 + 966*T1^4*T2^4 - 3774*T1^5*T2^4 + 
      966*T1^6*T2^4 + 686*T1^7*T2^4 - 358*T1^8*T2^4 + 42*T1^9*T2^4 + 
      16*T1^10*T2^4 - 6*T2^5 - 60*T1*T2^5 + 116*T1^2*T2^5 + 686*T1^3*T2^5 - 
      3774*T1^4*T2^5 + 4016*T1^5*T2^5 + 4016*T1^6*T2^5 - 3774*T1^7*T2^5 + 
      686*T1^8*T2^5 + 116*T1^9*T2^5 - 60*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
      30*T1*T2^6 + 64*T1^2*T2^6 - 630*T1^3*T2^6 + 966*T1^4*T2^6 + 
      4016*T1^5*T2^6 - 11280*T1^6*T2^6 + 4016*T1^7*T2^6 + 966*T1^8*T2^6 - 
      630*T1^9*T2^6 + 64*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 
      6*T1*T2^7 - 60*T1^2*T2^7 + 116*T1^3*T2^7 + 686*T1^4*T2^7 - 
      3774*T1^5*T2^7 + 4016*T1^6*T2^7 + 4016*T1^7*T2^7 - 3774*T1^8*T2^7 + 
      686*T1^9*T2^7 + 116*T1^10*T2^7 - 60*T1^11*T2^7 - 6*T1^12*T2^7 + 
      16*T1^2*T2^8 + 42*T1^3*T2^8 - 358*T1^4*T2^8 + 686*T1^5*T2^8 + 
      966*T1^6*T2^8 - 3774*T1^7*T2^8 + 966*T1^8*T2^8 + 686*T1^9*T2^8 - 
      358*T1^10*T2^8 + 42*T1^11*T2^8 + 16*T1^12*T2^8 - 23*T1^3*T2^9 + 
      42*T1^4*T2^9 + 116*T1^5*T2^9 - 630*T1^6*T2^9 + 686*T1^7*T2^9 + 
      686*T1^8*T2^9 - 630*T1^9*T2^9 + 116*T1^10*T2^9 + 42*T1^11*T2^9 - 
      23*T1^12*T2^9 + 16*T1^4*T2^10 - 60*T1^5*T2^10 + 64*T1^6*T2^10 + 
      116*T1^7*T2^10 - 358*T1^8*T2^10 + 116*T1^9*T2^10 + 64*T1^10*T2^10 - 
      60*T1^11*T2^10 + 16*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 
      60*T1^7*T2^11 + 42*T1^8*T2^11 + 42*T1^9*T2^11 - 60*T1^10*T2^11 + 
      30*T1^11*T2^11 - 6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 
      16*T1^8*T2^12 - 23*T1^9*T2^12 + 16*T1^10*T2^12 - 6*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, Alternating, 279] -> 
  {(3 - 12*T + 20*T^2 - 21*T^3 + 20*T^4 - 12*T^5 + 3*T^6)/T^3, 
   (24 - 93*T1 + 151*T1^2 - 158*T1^3 + 151*T1^4 - 93*T1^5 + 24*T1^6 - 93*T2 + 
     266*T1*T2 - 222*T1^2*T2 + 26*T1^3*T2 + 26*T1^4*T2 - 222*T1^5*T2 + 
     266*T1^6*T2 - 93*T1^7*T2 + 151*T2^2 - 222*T1*T2^2 - 320*T1^2*T2^2 + 
     778*T1^3*T2^2 - 630*T1^4*T2^2 + 778*T1^5*T2^2 - 320*T1^6*T2^2 - 
     222*T1^7*T2^2 + 151*T1^8*T2^2 - 158*T2^3 + 26*T1*T2^3 + 778*T1^2*T2^3 - 
     816*T1^3*T2^3 + 50*T1^4*T2^3 + 50*T1^5*T2^3 - 816*T1^6*T2^3 + 
     778*T1^7*T2^3 + 26*T1^8*T2^3 - 158*T1^9*T2^3 + 151*T2^4 + 26*T1*T2^4 - 
     630*T1^2*T2^4 + 50*T1^3*T2^4 + 1024*T1^4*T2^4 - 1024*T1^5*T2^4 + 
     1024*T1^6*T2^4 + 50*T1^7*T2^4 - 630*T1^8*T2^4 + 26*T1^9*T2^4 + 
     151*T1^10*T2^4 - 93*T2^5 - 222*T1*T2^5 + 778*T1^2*T2^5 + 50*T1^3*T2^5 - 
     1024*T1^4*T2^5 + 472*T1^5*T2^5 + 472*T1^6*T2^5 - 1024*T1^7*T2^5 + 
     50*T1^8*T2^5 + 778*T1^9*T2^5 - 222*T1^10*T2^5 - 93*T1^11*T2^5 + 
     24*T2^6 + 266*T1*T2^6 - 320*T1^2*T2^6 - 816*T1^3*T2^6 + 1024*T1^4*T2^6 + 
     472*T1^5*T2^6 - 1308*T1^6*T2^6 + 472*T1^7*T2^6 + 1024*T1^8*T2^6 - 
     816*T1^9*T2^6 - 320*T1^10*T2^6 + 266*T1^11*T2^6 + 24*T1^12*T2^6 - 
     93*T1*T2^7 - 222*T1^2*T2^7 + 778*T1^3*T2^7 + 50*T1^4*T2^7 - 
     1024*T1^5*T2^7 + 472*T1^6*T2^7 + 472*T1^7*T2^7 - 1024*T1^8*T2^7 + 
     50*T1^9*T2^7 + 778*T1^10*T2^7 - 222*T1^11*T2^7 - 93*T1^12*T2^7 + 
     151*T1^2*T2^8 + 26*T1^3*T2^8 - 630*T1^4*T2^8 + 50*T1^5*T2^8 + 
     1024*T1^6*T2^8 - 1024*T1^7*T2^8 + 1024*T1^8*T2^8 + 50*T1^9*T2^8 - 
     630*T1^10*T2^8 + 26*T1^11*T2^8 + 151*T1^12*T2^8 - 158*T1^3*T2^9 + 
     26*T1^4*T2^9 + 778*T1^5*T2^9 - 816*T1^6*T2^9 + 50*T1^7*T2^9 + 
     50*T1^8*T2^9 - 816*T1^9*T2^9 + 778*T1^10*T2^9 + 26*T1^11*T2^9 - 
     158*T1^12*T2^9 + 151*T1^4*T2^10 - 222*T1^5*T2^10 - 320*T1^6*T2^10 + 
     778*T1^7*T2^10 - 630*T1^8*T2^10 + 778*T1^9*T2^10 - 320*T1^10*T2^10 - 
     222*T1^11*T2^10 + 151*T1^12*T2^10 - 93*T1^5*T2^11 + 266*T1^6*T2^11 - 
     222*T1^7*T2^11 + 26*T1^8*T2^11 + 26*T1^9*T2^11 - 222*T1^10*T2^11 + 
     266*T1^11*T2^11 - 93*T1^12*T2^11 + 24*T1^6*T2^12 - 93*T1^7*T2^12 + 
     151*T1^8*T2^12 - 158*T1^9*T2^12 + 151*T1^10*T2^12 - 93*T1^11*T2^12 + 
     24*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, Alternating, 280] -> 
  {(6 - 26*T + 41*T^2 - 26*T^3 + 6*T^4)/T^2, 
   (3 + 16*T1 - 41*T1^2 + 16*T1^3 + 3*T1^4 + 16*T2 - 180*T1*T2 + 
     182*T1^2*T2 + 182*T1^3*T2 - 180*T1^4*T2 + 16*T1^5*T2 - 41*T2^2 + 
     182*T1*T2^2 + 679*T1^2*T2^2 - 1821*T1^3*T2^2 + 679*T1^4*T2^2 + 
     182*T1^5*T2^2 - 41*T1^6*T2^2 + 16*T2^3 + 182*T1*T2^3 - 1821*T1^2*T2^3 + 
     1850*T1^3*T2^3 + 1850*T1^4*T2^3 - 1821*T1^5*T2^3 + 182*T1^6*T2^3 + 
     16*T1^7*T2^3 + 3*T2^4 - 180*T1*T2^4 + 679*T1^2*T2^4 + 1850*T1^3*T2^4 - 
     5316*T1^4*T2^4 + 1850*T1^5*T2^4 + 679*T1^6*T2^4 - 180*T1^7*T2^4 + 
     3*T1^8*T2^4 + 16*T1*T2^5 + 182*T1^2*T2^5 - 1821*T1^3*T2^5 + 
     1850*T1^4*T2^5 + 1850*T1^5*T2^5 - 1821*T1^6*T2^5 + 182*T1^7*T2^5 + 
     16*T1^8*T2^5 - 41*T1^2*T2^6 + 182*T1^3*T2^6 + 679*T1^4*T2^6 - 
     1821*T1^5*T2^6 + 679*T1^6*T2^6 + 182*T1^7*T2^6 - 41*T1^8*T2^6 + 
     16*T1^3*T2^7 - 180*T1^4*T2^7 + 182*T1^5*T2^7 + 182*T1^6*T2^7 - 
     180*T1^7*T2^7 + 16*T1^8*T2^7 + 3*T1^4*T2^8 + 16*T1^5*T2^8 - 
     41*T1^6*T2^8 + 16*T1^7*T2^8 + 3*T1^8*T2^8)/(T1^4*T2^4)}, 
 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), -((1 - 6*T1 + 18*T1^2 - 33*T1^3 + 39*T1^4 - 33*T1^5 + 18*T1^6 - 
      6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 72*T1^2*T2 + 90*T1^3*T2 - 
      36*T1^4*T2 - 36*T1^5*T2 + 90*T1^6*T2 - 72*T1^7*T2 + 30*T1^8*T2 - 
      6*T1^9*T2 + 18*T2^2 - 72*T1*T2^2 + 123*T1^2*T2^2 - 41*T1^3*T2^2 - 
      189*T1^4*T2^2 + 255*T1^5*T2^2 - 189*T1^6*T2^2 - 41*T1^7*T2^2 + 
      123*T1^8*T2^2 - 72*T1^9*T2^2 + 18*T1^10*T2^2 - 33*T2^3 + 90*T1*T2^3 - 
      41*T1^2*T2^3 - 282*T1^3*T2^3 + 587*T1^4*T2^3 - 204*T1^5*T2^3 - 
      204*T1^6*T2^3 + 587*T1^7*T2^3 - 282*T1^8*T2^3 - 41*T1^9*T2^3 + 
      90*T1^10*T2^3 - 33*T1^11*T2^3 + 39*T2^4 - 36*T1*T2^4 - 189*T1^2*T2^4 + 
      587*T1^3*T2^4 - 344*T1^4*T2^4 - 951*T1^5*T2^4 + 1216*T1^6*T2^4 - 
      951*T1^7*T2^4 - 344*T1^8*T2^4 + 587*T1^9*T2^4 - 189*T1^10*T2^4 - 
      36*T1^11*T2^4 + 39*T1^12*T2^4 - 33*T2^5 - 36*T1*T2^5 + 255*T1^2*T2^5 - 
      204*T1^3*T2^5 - 951*T1^4*T2^5 + 2250*T1^5*T2^5 - 758*T1^6*T2^5 - 
      758*T1^7*T2^5 + 2250*T1^8*T2^5 - 951*T1^9*T2^5 - 204*T1^10*T2^5 + 
      255*T1^11*T2^5 - 36*T1^12*T2^5 - 33*T1^13*T2^5 + 18*T2^6 + 90*T1*T2^6 - 
      189*T1^2*T2^6 - 204*T1^3*T2^6 + 1216*T1^4*T2^6 - 758*T1^5*T2^6 - 
      2603*T1^6*T2^6 + 3353*T1^7*T2^6 - 2603*T1^8*T2^6 - 758*T1^9*T2^6 + 
      1216*T1^10*T2^6 - 204*T1^11*T2^6 - 189*T1^12*T2^6 + 90*T1^13*T2^6 + 
      18*T1^14*T2^6 - 6*T2^7 - 72*T1*T2^7 - 41*T1^2*T2^7 + 587*T1^3*T2^7 - 
      951*T1^4*T2^7 - 758*T1^5*T2^7 + 3353*T1^6*T2^7 - 1208*T1^7*T2^7 - 
      1208*T1^8*T2^7 + 3353*T1^9*T2^7 - 758*T1^10*T2^7 - 951*T1^11*T2^7 + 
      587*T1^12*T2^7 - 41*T1^13*T2^7 - 72*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 
      30*T1*T2^8 + 123*T1^2*T2^8 - 282*T1^3*T2^8 - 344*T1^4*T2^8 + 
      2250*T1^5*T2^8 - 2603*T1^6*T2^8 - 1208*T1^7*T2^8 + 2160*T1^8*T2^8 - 
      1208*T1^9*T2^8 - 2603*T1^10*T2^8 + 2250*T1^11*T2^8 - 344*T1^12*T2^8 - 
      282*T1^13*T2^8 + 123*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 
      6*T1*T2^9 - 72*T1^2*T2^9 - 41*T1^3*T2^9 + 587*T1^4*T2^9 - 
      951*T1^5*T2^9 - 758*T1^6*T2^9 + 3353*T1^7*T2^9 - 1208*T1^8*T2^9 - 
      1208*T1^9*T2^9 + 3353*T1^10*T2^9 - 758*T1^11*T2^9 - 951*T1^12*T2^9 + 
      587*T1^13*T2^9 - 41*T1^14*T2^9 - 72*T1^15*T2^9 - 6*T1^16*T2^9 + 
      18*T1^2*T2^10 + 90*T1^3*T2^10 - 189*T1^4*T2^10 - 204*T1^5*T2^10 + 
      1216*T1^6*T2^10 - 758*T1^7*T2^10 - 2603*T1^8*T2^10 + 3353*T1^9*T2^10 - 
      2603*T1^10*T2^10 - 758*T1^11*T2^10 + 1216*T1^12*T2^10 - 
      204*T1^13*T2^10 - 189*T1^14*T2^10 + 90*T1^15*T2^10 + 18*T1^16*T2^10 - 
      33*T1^3*T2^11 - 36*T1^4*T2^11 + 255*T1^5*T2^11 - 204*T1^6*T2^11 - 
      951*T1^7*T2^11 + 2250*T1^8*T2^11 - 758*T1^9*T2^11 - 758*T1^10*T2^11 + 
      2250*T1^11*T2^11 - 951*T1^12*T2^11 - 204*T1^13*T2^11 + 
      255*T1^14*T2^11 - 36*T1^15*T2^11 - 33*T1^16*T2^11 + 39*T1^4*T2^12 - 
      36*T1^5*T2^12 - 189*T1^6*T2^12 + 587*T1^7*T2^12 - 344*T1^8*T2^12 - 
      951*T1^9*T2^12 + 1216*T1^10*T2^12 - 951*T1^11*T2^12 - 344*T1^12*T2^12 + 
      587*T1^13*T2^12 - 189*T1^14*T2^12 - 36*T1^15*T2^12 + 39*T1^16*T2^12 - 
      33*T1^5*T2^13 + 90*T1^6*T2^13 - 41*T1^7*T2^13 - 282*T1^8*T2^13 + 
      587*T1^9*T2^13 - 204*T1^10*T2^13 - 204*T1^11*T2^13 + 587*T1^12*T2^13 - 
      282*T1^13*T2^13 - 41*T1^14*T2^13 + 90*T1^15*T2^13 - 33*T1^16*T2^13 + 
      18*T1^6*T2^14 - 72*T1^7*T2^14 + 123*T1^8*T2^14 - 41*T1^9*T2^14 - 
      189*T1^10*T2^14 + 255*T1^11*T2^14 - 189*T1^12*T2^14 - 41*T1^13*T2^14 + 
      123*T1^14*T2^14 - 72*T1^15*T2^14 + 18*T1^16*T2^14 - 6*T1^7*T2^15 + 
      30*T1^8*T2^15 - 72*T1^9*T2^15 + 90*T1^10*T2^15 - 36*T1^11*T2^15 - 
      36*T1^12*T2^15 + 90*T1^13*T2^15 - 72*T1^14*T2^15 + 30*T1^15*T2^15 - 
      6*T1^16*T2^15 + T1^8*T2^16 - 6*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 - 
      6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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), (1 - 6*T1 + 16*T1^2 - 26*T1^3 + 29*T1^4 - 26*T1^5 + 16*T1^6 - 
     6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 60*T1^2*T2 + 60*T1^3*T2 - 18*T1^4*T2 - 
     18*T1^5*T2 + 60*T1^6*T2 - 60*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 
     16*T2^2 - 60*T1*T2^2 + 55*T1^2*T2^2 + 69*T1^3*T2^2 - 229*T1^4*T2^2 + 
     233*T1^5*T2^2 - 229*T1^6*T2^2 + 69*T1^7*T2^2 + 55*T1^8*T2^2 - 
     60*T1^9*T2^2 + 16*T1^10*T2^2 - 26*T2^3 + 60*T1*T2^3 + 69*T1^2*T2^3 - 
     332*T1^3*T2^3 + 408*T1^4*T2^3 - 72*T1^5*T2^3 - 72*T1^6*T2^3 + 
     408*T1^7*T2^3 - 332*T1^8*T2^3 + 69*T1^9*T2^3 + 60*T1^10*T2^3 - 
     26*T1^11*T2^3 + 29*T2^4 - 18*T1*T2^4 - 229*T1^2*T2^4 + 408*T1^3*T2^4 - 
     81*T1^4*T2^4 - 609*T1^5*T2^4 + 519*T1^6*T2^4 - 609*T1^7*T2^4 - 
     81*T1^8*T2^4 + 408*T1^9*T2^4 - 229*T1^10*T2^4 - 18*T1^11*T2^4 + 
     29*T1^12*T2^4 - 26*T2^5 - 18*T1*T2^5 + 233*T1^2*T2^5 - 72*T1^3*T2^5 - 
     609*T1^4*T2^5 + 1096*T1^5*T2^5 - 212*T1^6*T2^5 - 212*T1^7*T2^5 + 
     1096*T1^8*T2^5 - 609*T1^9*T2^5 - 72*T1^10*T2^5 + 233*T1^11*T2^5 - 
     18*T1^12*T2^5 - 26*T1^13*T2^5 + 16*T2^6 + 60*T1*T2^6 - 229*T1^2*T2^6 - 
     72*T1^3*T2^6 + 519*T1^4*T2^6 - 212*T1^5*T2^6 - 1399*T1^6*T2^6 + 
     1655*T1^7*T2^6 - 1399*T1^8*T2^6 - 212*T1^9*T2^6 + 519*T1^10*T2^6 - 
     72*T1^11*T2^6 - 229*T1^12*T2^6 + 60*T1^13*T2^6 + 16*T1^14*T2^6 - 
     6*T2^7 - 60*T1*T2^7 + 69*T1^2*T2^7 + 408*T1^3*T2^7 - 609*T1^4*T2^7 - 
     212*T1^5*T2^7 + 1655*T1^6*T2^7 - 734*T1^7*T2^7 - 734*T1^8*T2^7 + 
     1655*T1^9*T2^7 - 212*T1^10*T2^7 - 609*T1^11*T2^7 + 408*T1^12*T2^7 + 
     69*T1^13*T2^7 - 60*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 
     55*T1^2*T2^8 - 332*T1^3*T2^8 - 81*T1^4*T2^8 + 1096*T1^5*T2^8 - 
     1399*T1^6*T2^8 - 734*T1^7*T2^8 + 1716*T1^8*T2^8 - 734*T1^9*T2^8 - 
     1399*T1^10*T2^8 + 1096*T1^11*T2^8 - 81*T1^12*T2^8 - 332*T1^13*T2^8 + 
     55*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 60*T1^2*T2^9 + 
     69*T1^3*T2^9 + 408*T1^4*T2^9 - 609*T1^5*T2^9 - 212*T1^6*T2^9 + 
     1655*T1^7*T2^9 - 734*T1^8*T2^9 - 734*T1^9*T2^9 + 1655*T1^10*T2^9 - 
     212*T1^11*T2^9 - 609*T1^12*T2^9 + 408*T1^13*T2^9 + 69*T1^14*T2^9 - 
     60*T1^15*T2^9 - 6*T1^16*T2^9 + 16*T1^2*T2^10 + 60*T1^3*T2^10 - 
     229*T1^4*T2^10 - 72*T1^5*T2^10 + 519*T1^6*T2^10 - 212*T1^7*T2^10 - 
     1399*T1^8*T2^10 + 1655*T1^9*T2^10 - 1399*T1^10*T2^10 - 212*T1^11*T2^10 + 
     519*T1^12*T2^10 - 72*T1^13*T2^10 - 229*T1^14*T2^10 + 60*T1^15*T2^10 + 
     16*T1^16*T2^10 - 26*T1^3*T2^11 - 18*T1^4*T2^11 + 233*T1^5*T2^11 - 
     72*T1^6*T2^11 - 609*T1^7*T2^11 + 1096*T1^8*T2^11 - 212*T1^9*T2^11 - 
     212*T1^10*T2^11 + 1096*T1^11*T2^11 - 609*T1^12*T2^11 - 72*T1^13*T2^11 + 
     233*T1^14*T2^11 - 18*T1^15*T2^11 - 26*T1^16*T2^11 + 29*T1^4*T2^12 - 
     18*T1^5*T2^12 - 229*T1^6*T2^12 + 408*T1^7*T2^12 - 81*T1^8*T2^12 - 
     609*T1^9*T2^12 + 519*T1^10*T2^12 - 609*T1^11*T2^12 - 81*T1^12*T2^12 + 
     408*T1^13*T2^12 - 229*T1^14*T2^12 - 18*T1^15*T2^12 + 29*T1^16*T2^12 - 
     26*T1^5*T2^13 + 60*T1^6*T2^13 + 69*T1^7*T2^13 - 332*T1^8*T2^13 + 
     408*T1^9*T2^13 - 72*T1^10*T2^13 - 72*T1^11*T2^13 + 408*T1^12*T2^13 - 
     332*T1^13*T2^13 + 69*T1^14*T2^13 + 60*T1^15*T2^13 - 26*T1^16*T2^13 + 
     16*T1^6*T2^14 - 60*T1^7*T2^14 + 55*T1^8*T2^14 + 69*T1^9*T2^14 - 
     229*T1^10*T2^14 + 233*T1^11*T2^14 - 229*T1^12*T2^14 + 69*T1^13*T2^14 + 
     55*T1^14*T2^14 - 60*T1^15*T2^14 + 16*T1^16*T2^14 - 6*T1^7*T2^15 + 
     30*T1^8*T2^15 - 60*T1^9*T2^15 + 60*T1^10*T2^15 - 18*T1^11*T2^15 - 
     18*T1^12*T2^15 + 60*T1^13*T2^15 - 60*T1^14*T2^15 + 30*T1^15*T2^15 - 
     6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 16*T1^10*T2^16 - 
     26*T1^11*T2^16 + 29*T1^12*T2^16 - 26*T1^13*T2^16 + 16*T1^14*T2^16 - 
     6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 283] -> 
  {((3 - 3*T + T^2)*(1 - T + T^2)*(1 - 3*T + 3*T^2))/T^3, 
   -((30 - 150*T1 + 337*T1^2 - 422*T1^3 + 337*T1^4 - 150*T1^5 + 30*T1^6 - 
      150*T2 + 602*T1*T2 - 941*T1^2*T2 + 430*T1^3*T2 + 430*T1^4*T2 - 
      941*T1^5*T2 + 602*T1^6*T2 - 150*T1^7*T2 + 337*T2^2 - 941*T1*T2^2 + 
      360*T1^2*T2^2 + 2122*T1^3*T2^2 - 3204*T1^4*T2^2 + 2122*T1^5*T2^2 + 
      360*T1^6*T2^2 - 941*T1^7*T2^2 + 337*T1^8*T2^2 - 422*T2^3 + 
      430*T1*T2^3 + 2122*T1^2*T2^3 - 5414*T1^3*T2^3 + 2492*T1^4*T2^3 + 
      2492*T1^5*T2^3 - 5414*T1^6*T2^3 + 2122*T1^7*T2^3 + 430*T1^8*T2^3 - 
      422*T1^9*T2^3 + 337*T2^4 + 430*T1*T2^4 - 3204*T1^2*T2^4 + 
      2492*T1^3*T2^4 + 6974*T1^4*T2^4 - 10930*T1^5*T2^4 + 6974*T1^6*T2^4 + 
      2492*T1^7*T2^4 - 3204*T1^8*T2^4 + 430*T1^9*T2^4 + 337*T1^10*T2^4 - 
      150*T2^5 - 941*T1*T2^5 + 2122*T1^2*T2^5 + 2492*T1^3*T2^5 - 
      10930*T1^4*T2^5 + 5122*T1^5*T2^5 + 5122*T1^6*T2^5 - 10930*T1^7*T2^5 + 
      2492*T1^8*T2^5 + 2122*T1^9*T2^5 - 941*T1^10*T2^5 - 150*T1^11*T2^5 + 
      30*T2^6 + 602*T1*T2^6 + 360*T1^2*T2^6 - 5414*T1^3*T2^6 + 
      6974*T1^4*T2^6 + 5122*T1^5*T2^6 - 10188*T1^6*T2^6 + 5122*T1^7*T2^6 + 
      6974*T1^8*T2^6 - 5414*T1^9*T2^6 + 360*T1^10*T2^6 + 602*T1^11*T2^6 + 
      30*T1^12*T2^6 - 150*T1*T2^7 - 941*T1^2*T2^7 + 2122*T1^3*T2^7 + 
      2492*T1^4*T2^7 - 10930*T1^5*T2^7 + 5122*T1^6*T2^7 + 5122*T1^7*T2^7 - 
      10930*T1^8*T2^7 + 2492*T1^9*T2^7 + 2122*T1^10*T2^7 - 941*T1^11*T2^7 - 
      150*T1^12*T2^7 + 337*T1^2*T2^8 + 430*T1^3*T2^8 - 3204*T1^4*T2^8 + 
      2492*T1^5*T2^8 + 6974*T1^6*T2^8 - 10930*T1^7*T2^8 + 6974*T1^8*T2^8 + 
      2492*T1^9*T2^8 - 3204*T1^10*T2^8 + 430*T1^11*T2^8 + 337*T1^12*T2^8 - 
      422*T1^3*T2^9 + 430*T1^4*T2^9 + 2122*T1^5*T2^9 - 5414*T1^6*T2^9 + 
      2492*T1^7*T2^9 + 2492*T1^8*T2^9 - 5414*T1^9*T2^9 + 2122*T1^10*T2^9 + 
      430*T1^11*T2^9 - 422*T1^12*T2^9 + 337*T1^4*T2^10 - 941*T1^5*T2^10 + 
      360*T1^6*T2^10 + 2122*T1^7*T2^10 - 3204*T1^8*T2^10 + 2122*T1^9*T2^10 + 
      360*T1^10*T2^10 - 941*T1^11*T2^10 + 337*T1^12*T2^10 - 150*T1^5*T2^11 + 
      602*T1^6*T2^11 - 941*T1^7*T2^11 + 430*T1^8*T2^11 + 430*T1^9*T2^11 - 
      941*T1^10*T2^11 + 602*T1^11*T2^11 - 150*T1^12*T2^11 + 30*T1^6*T2^12 - 
      150*T1^7*T2^12 + 337*T1^8*T2^12 - 422*T1^9*T2^12 + 337*T1^10*T2^12 - 
      150*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), -((1 - 7*T1 + 21*T1^2 - 38*T1^3 + 45*T1^4 - 38*T1^5 + 21*T1^6 - 
      7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 98*T1^2*T2 + 119*T1^3*T2 - 
      49*T1^4*T2 - 49*T1^5*T2 + 119*T1^6*T2 - 98*T1^7*T2 + 42*T1^8*T2 - 
      7*T1^9*T2 + 21*T2^2 - 98*T1*T2^2 + 121*T1^2*T2^2 + 78*T1^3*T2^2 - 
      466*T1^4*T2^2 + 599*T1^5*T2^2 - 466*T1^6*T2^2 + 78*T1^7*T2^2 + 
      121*T1^8*T2^2 - 98*T1^9*T2^2 + 21*T1^10*T2^2 - 38*T2^3 + 119*T1*T2^3 + 
      78*T1^2*T2^3 - 648*T1^3*T2^3 + 1063*T1^4*T2^3 - 399*T1^5*T2^3 - 
      399*T1^6*T2^3 + 1063*T1^7*T2^3 - 648*T1^8*T2^3 + 78*T1^9*T2^3 + 
      119*T1^10*T2^3 - 38*T1^11*T2^3 + 45*T2^4 - 49*T1*T2^4 - 466*T1^2*T2^4 + 
      1063*T1^3*T2^4 - 632*T1^4*T2^4 - 1323*T1^5*T2^4 + 1764*T1^6*T2^4 - 
      1323*T1^7*T2^4 - 632*T1^8*T2^4 + 1063*T1^9*T2^4 - 466*T1^10*T2^4 - 
      49*T1^11*T2^4 + 45*T1^12*T2^4 - 38*T2^5 - 49*T1*T2^5 + 599*T1^2*T2^5 - 
      399*T1^3*T2^5 - 1323*T1^4*T2^5 + 3264*T1^5*T2^5 - 1072*T1^6*T2^5 - 
      1072*T1^7*T2^5 + 3264*T1^8*T2^5 - 1323*T1^9*T2^5 - 399*T1^10*T2^5 + 
      599*T1^11*T2^5 - 49*T1^12*T2^5 - 38*T1^13*T2^5 + 21*T2^6 + 
      119*T1*T2^6 - 466*T1^2*T2^6 - 399*T1^3*T2^6 + 1764*T1^4*T2^6 - 
      1072*T1^5*T2^6 - 4005*T1^6*T2^6 + 4925*T1^7*T2^6 - 4005*T1^8*T2^6 - 
      1072*T1^9*T2^6 + 1764*T1^10*T2^6 - 399*T1^11*T2^6 - 466*T1^12*T2^6 + 
      119*T1^13*T2^6 + 21*T1^14*T2^6 - 7*T2^7 - 98*T1*T2^7 + 78*T1^2*T2^7 + 
      1063*T1^3*T2^7 - 1323*T1^4*T2^7 - 1072*T1^5*T2^7 + 4925*T1^6*T2^7 - 
      1508*T1^7*T2^7 - 1508*T1^8*T2^7 + 4925*T1^9*T2^7 - 1072*T1^10*T2^7 - 
      1323*T1^11*T2^7 + 1063*T1^12*T2^7 + 78*T1^13*T2^7 - 98*T1^14*T2^7 - 
      7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 121*T1^2*T2^8 - 648*T1^3*T2^8 - 
      632*T1^4*T2^8 + 3264*T1^5*T2^8 - 4005*T1^6*T2^8 - 1508*T1^7*T2^8 + 
      2244*T1^8*T2^8 - 1508*T1^9*T2^8 - 4005*T1^10*T2^8 + 3264*T1^11*T2^8 - 
      632*T1^12*T2^8 - 648*T1^13*T2^8 + 121*T1^14*T2^8 + 42*T1^15*T2^8 + 
      T1^16*T2^8 - 7*T1*T2^9 - 98*T1^2*T2^9 + 78*T1^3*T2^9 + 1063*T1^4*T2^9 - 
      1323*T1^5*T2^9 - 1072*T1^6*T2^9 + 4925*T1^7*T2^9 - 1508*T1^8*T2^9 - 
      1508*T1^9*T2^9 + 4925*T1^10*T2^9 - 1072*T1^11*T2^9 - 1323*T1^12*T2^9 + 
      1063*T1^13*T2^9 + 78*T1^14*T2^9 - 98*T1^15*T2^9 - 7*T1^16*T2^9 + 
      21*T1^2*T2^10 + 119*T1^3*T2^10 - 466*T1^4*T2^10 - 399*T1^5*T2^10 + 
      1764*T1^6*T2^10 - 1072*T1^7*T2^10 - 4005*T1^8*T2^10 + 4925*T1^9*T2^10 - 
      4005*T1^10*T2^10 - 1072*T1^11*T2^10 + 1764*T1^12*T2^10 - 
      399*T1^13*T2^10 - 466*T1^14*T2^10 + 119*T1^15*T2^10 + 21*T1^16*T2^10 - 
      38*T1^3*T2^11 - 49*T1^4*T2^11 + 599*T1^5*T2^11 - 399*T1^6*T2^11 - 
      1323*T1^7*T2^11 + 3264*T1^8*T2^11 - 1072*T1^9*T2^11 - 
      1072*T1^10*T2^11 + 3264*T1^11*T2^11 - 1323*T1^12*T2^11 - 
      399*T1^13*T2^11 + 599*T1^14*T2^11 - 49*T1^15*T2^11 - 38*T1^16*T2^11 + 
      45*T1^4*T2^12 - 49*T1^5*T2^12 - 466*T1^6*T2^12 + 1063*T1^7*T2^12 - 
      632*T1^8*T2^12 - 1323*T1^9*T2^12 + 1764*T1^10*T2^12 - 
      1323*T1^11*T2^12 - 632*T1^12*T2^12 + 1063*T1^13*T2^12 - 
      466*T1^14*T2^12 - 49*T1^15*T2^12 + 45*T1^16*T2^12 - 38*T1^5*T2^13 + 
      119*T1^6*T2^13 + 78*T1^7*T2^13 - 648*T1^8*T2^13 + 1063*T1^9*T2^13 - 
      399*T1^10*T2^13 - 399*T1^11*T2^13 + 1063*T1^12*T2^13 - 
      648*T1^13*T2^13 + 78*T1^14*T2^13 + 119*T1^15*T2^13 - 38*T1^16*T2^13 + 
      21*T1^6*T2^14 - 98*T1^7*T2^14 + 121*T1^8*T2^14 + 78*T1^9*T2^14 - 
      466*T1^10*T2^14 + 599*T1^11*T2^14 - 466*T1^12*T2^14 + 78*T1^13*T2^14 + 
      121*T1^14*T2^14 - 98*T1^15*T2^14 + 21*T1^16*T2^14 - 7*T1^7*T2^15 + 
      42*T1^8*T2^15 - 98*T1^9*T2^15 + 119*T1^10*T2^15 - 49*T1^11*T2^15 - 
      49*T1^12*T2^15 + 119*T1^13*T2^15 - 98*T1^14*T2^15 + 42*T1^15*T2^15 - 
      7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 21*T1^10*T2^16 - 
      38*T1^11*T2^16 + 45*T1^12*T2^16 - 38*T1^13*T2^16 + 21*T1^14*T2^16 - 
      7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[11, Alternating, 285] -> 
  {-((2 - 14*T + 38*T^2 - 53*T^3 + 38*T^4 - 14*T^5 + 2*T^6)/T^3), 
   (1 - 6*T1 + 16*T1^2 - 23*T1^3 + 16*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     28*T1*T2 - 54*T1^2*T2 + 38*T1^3*T2 + 38*T1^4*T2 - 54*T1^5*T2 + 
     28*T1^6*T2 - 6*T1^7*T2 + 16*T2^2 - 54*T1*T2^2 + 57*T1^2*T2^2 + 
     50*T1^3*T2^2 - 205*T1^4*T2^2 + 50*T1^5*T2^2 + 57*T1^6*T2^2 - 
     54*T1^7*T2^2 + 16*T1^8*T2^2 - 23*T2^3 + 38*T1*T2^3 + 50*T1^2*T2^3 - 
     224*T1^3*T2^3 + 278*T1^4*T2^3 + 278*T1^5*T2^3 - 224*T1^6*T2^3 + 
     50*T1^7*T2^3 + 38*T1^8*T2^3 - 23*T1^9*T2^3 + 16*T2^4 + 38*T1*T2^4 - 
     205*T1^2*T2^4 + 278*T1^3*T2^4 - 61*T1^4*T2^4 - 725*T1^5*T2^4 - 
     61*T1^6*T2^4 + 278*T1^7*T2^4 - 205*T1^8*T2^4 + 38*T1^9*T2^4 + 
     16*T1^10*T2^4 - 6*T2^5 - 54*T1*T2^5 + 50*T1^2*T2^5 + 278*T1^3*T2^5 - 
     725*T1^4*T2^5 + 976*T1^5*T2^5 + 976*T1^6*T2^5 - 725*T1^7*T2^5 + 
     278*T1^8*T2^5 + 50*T1^9*T2^5 - 54*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     28*T1*T2^6 + 57*T1^2*T2^6 - 224*T1^3*T2^6 - 61*T1^4*T2^6 + 
     976*T1^5*T2^6 - 2808*T1^6*T2^6 + 976*T1^7*T2^6 - 61*T1^8*T2^6 - 
     224*T1^9*T2^6 + 57*T1^10*T2^6 + 28*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
     54*T1^2*T2^7 + 50*T1^3*T2^7 + 278*T1^4*T2^7 - 725*T1^5*T2^7 + 
     976*T1^6*T2^7 + 976*T1^7*T2^7 - 725*T1^8*T2^7 + 278*T1^9*T2^7 + 
     50*T1^10*T2^7 - 54*T1^11*T2^7 - 6*T1^12*T2^7 + 16*T1^2*T2^8 + 
     38*T1^3*T2^8 - 205*T1^4*T2^8 + 278*T1^5*T2^8 - 61*T1^6*T2^8 - 
     725*T1^7*T2^8 - 61*T1^8*T2^8 + 278*T1^9*T2^8 - 205*T1^10*T2^8 + 
     38*T1^11*T2^8 + 16*T1^12*T2^8 - 23*T1^3*T2^9 + 38*T1^4*T2^9 + 
     50*T1^5*T2^9 - 224*T1^6*T2^9 + 278*T1^7*T2^9 + 278*T1^8*T2^9 - 
     224*T1^9*T2^9 + 50*T1^10*T2^9 + 38*T1^11*T2^9 - 23*T1^12*T2^9 + 
     16*T1^4*T2^10 - 54*T1^5*T2^10 + 57*T1^6*T2^10 + 50*T1^7*T2^10 - 
     205*T1^8*T2^10 + 50*T1^9*T2^10 + 57*T1^10*T2^10 - 54*T1^11*T2^10 + 
     16*T1^12*T2^10 - 6*T1^5*T2^11 + 28*T1^6*T2^11 - 54*T1^7*T2^11 + 
     38*T1^8*T2^11 + 38*T1^9*T2^11 - 54*T1^10*T2^11 + 28*T1^11*T2^11 - 
     6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 16*T1^8*T2^12 - 
     23*T1^9*T2^12 + 16*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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), 
   -((1 - 6*T1 + 17*T1^2 - 31*T1^3 + 37*T1^4 - 31*T1^5 + 17*T1^6 - 6*T1^7 + 
      T1^8 - 6*T2 + 30*T1*T2 - 66*T1^2*T2 + 84*T1^3*T2 - 36*T1^4*T2 - 
      36*T1^5*T2 + 84*T1^6*T2 - 66*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 
      17*T2^2 - 66*T1*T2^2 + 88*T1^2*T2^2 - 6*T1^3*T2^2 - 220*T1^4*T2^2 + 
      308*T1^5*T2^2 - 220*T1^6*T2^2 - 6*T1^7*T2^2 + 88*T1^8*T2^2 - 
      66*T1^9*T2^2 + 17*T1^10*T2^2 - 31*T2^3 + 84*T1*T2^3 - 6*T1^2*T2^3 - 
      242*T1^3*T2^3 + 530*T1^4*T2^3 - 223*T1^5*T2^3 - 223*T1^6*T2^3 + 
      530*T1^7*T2^3 - 242*T1^8*T2^3 - 6*T1^9*T2^3 + 84*T1^10*T2^3 - 
      31*T1^11*T2^3 + 37*T2^4 - 36*T1*T2^4 - 220*T1^2*T2^4 + 530*T1^3*T2^4 - 
      498*T1^4*T2^4 - 503*T1^5*T2^4 + 850*T1^6*T2^4 - 503*T1^7*T2^4 - 
      498*T1^8*T2^4 + 530*T1^9*T2^4 - 220*T1^10*T2^4 - 36*T1^11*T2^4 + 
      37*T1^12*T2^4 - 31*T2^5 - 36*T1*T2^5 + 308*T1^2*T2^5 - 223*T1^3*T2^5 - 
      503*T1^4*T2^5 + 1674*T1^5*T2^5 - 719*T1^6*T2^5 - 719*T1^7*T2^5 + 
      1674*T1^8*T2^5 - 503*T1^9*T2^5 - 223*T1^10*T2^5 + 308*T1^11*T2^5 - 
      36*T1^12*T2^5 - 31*T1^13*T2^5 + 17*T2^6 + 84*T1*T2^6 - 220*T1^2*T2^6 - 
      223*T1^3*T2^6 + 850*T1^4*T2^6 - 719*T1^5*T2^6 - 1880*T1^6*T2^6 + 
      2858*T1^7*T2^6 - 1880*T1^8*T2^6 - 719*T1^9*T2^6 + 850*T1^10*T2^6 - 
      223*T1^11*T2^6 - 220*T1^12*T2^6 + 84*T1^13*T2^6 + 17*T1^14*T2^6 - 
      6*T2^7 - 66*T1*T2^7 - 6*T1^2*T2^7 + 530*T1^3*T2^7 - 503*T1^4*T2^7 - 
      719*T1^5*T2^7 + 2858*T1^6*T2^7 - 1304*T1^7*T2^7 - 1304*T1^8*T2^7 + 
      2858*T1^9*T2^7 - 719*T1^10*T2^7 - 503*T1^11*T2^7 + 530*T1^12*T2^7 - 
      6*T1^13*T2^7 - 66*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 
      88*T1^2*T2^8 - 242*T1^3*T2^8 - 498*T1^4*T2^8 + 1674*T1^5*T2^8 - 
      1880*T1^6*T2^8 - 1304*T1^7*T2^8 + 2616*T1^8*T2^8 - 1304*T1^9*T2^8 - 
      1880*T1^10*T2^8 + 1674*T1^11*T2^8 - 498*T1^12*T2^8 - 242*T1^13*T2^8 + 
      88*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 66*T1^2*T2^9 - 
      6*T1^3*T2^9 + 530*T1^4*T2^9 - 503*T1^5*T2^9 - 719*T1^6*T2^9 + 
      2858*T1^7*T2^9 - 1304*T1^8*T2^9 - 1304*T1^9*T2^9 + 2858*T1^10*T2^9 - 
      719*T1^11*T2^9 - 503*T1^12*T2^9 + 530*T1^13*T2^9 - 6*T1^14*T2^9 - 
      66*T1^15*T2^9 - 6*T1^16*T2^9 + 17*T1^2*T2^10 + 84*T1^3*T2^10 - 
      220*T1^4*T2^10 - 223*T1^5*T2^10 + 850*T1^6*T2^10 - 719*T1^7*T2^10 - 
      1880*T1^8*T2^10 + 2858*T1^9*T2^10 - 1880*T1^10*T2^10 - 
      719*T1^11*T2^10 + 850*T1^12*T2^10 - 223*T1^13*T2^10 - 220*T1^14*T2^10 + 
      84*T1^15*T2^10 + 17*T1^16*T2^10 - 31*T1^3*T2^11 - 36*T1^4*T2^11 + 
      308*T1^5*T2^11 - 223*T1^6*T2^11 - 503*T1^7*T2^11 + 1674*T1^8*T2^11 - 
      719*T1^9*T2^11 - 719*T1^10*T2^11 + 1674*T1^11*T2^11 - 503*T1^12*T2^11 - 
      223*T1^13*T2^11 + 308*T1^14*T2^11 - 36*T1^15*T2^11 - 31*T1^16*T2^11 + 
      37*T1^4*T2^12 - 36*T1^5*T2^12 - 220*T1^6*T2^12 + 530*T1^7*T2^12 - 
      498*T1^8*T2^12 - 503*T1^9*T2^12 + 850*T1^10*T2^12 - 503*T1^11*T2^12 - 
      498*T1^12*T2^12 + 530*T1^13*T2^12 - 220*T1^14*T2^12 - 36*T1^15*T2^12 + 
      37*T1^16*T2^12 - 31*T1^5*T2^13 + 84*T1^6*T2^13 - 6*T1^7*T2^13 - 
      242*T1^8*T2^13 + 530*T1^9*T2^13 - 223*T1^10*T2^13 - 223*T1^11*T2^13 + 
      530*T1^12*T2^13 - 242*T1^13*T2^13 - 6*T1^14*T2^13 + 84*T1^15*T2^13 - 
      31*T1^16*T2^13 + 17*T1^6*T2^14 - 66*T1^7*T2^14 + 88*T1^8*T2^14 - 
      6*T1^9*T2^14 - 220*T1^10*T2^14 + 308*T1^11*T2^14 - 220*T1^12*T2^14 - 
      6*T1^13*T2^14 + 88*T1^14*T2^14 - 66*T1^15*T2^14 + 17*T1^16*T2^14 - 
      6*T1^7*T2^15 + 30*T1^8*T2^15 - 66*T1^9*T2^15 + 84*T1^10*T2^15 - 
      36*T1^11*T2^15 - 36*T1^12*T2^15 + 84*T1^13*T2^15 - 66*T1^14*T2^15 + 
      30*T1^15*T2^15 - 6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 
      17*T1^10*T2^16 - 31*T1^11*T2^16 + 37*T1^12*T2^16 - 31*T1^13*T2^16 + 
      17*T1^14*T2^16 - 6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   (T1 - 3*T1^2 + 2*T1^3 - 3*T1^4 + T1^5 + T2 - 8*T1*T2 + 13*T1^2*T2 + 
     4*T1^3*T2 + 4*T1^4*T2 + 13*T1^5*T2 - 8*T1^6*T2 + T1^7*T2 - 3*T2^2 + 
     13*T1*T2^2 + T1^2*T2^2 - 54*T1^3*T2^2 - 7*T1^4*T2^2 - 54*T1^5*T2^2 + 
     T1^6*T2^2 + 13*T1^7*T2^2 - 3*T1^8*T2^2 + 2*T2^3 + 4*T1*T2^3 - 
     54*T1^2*T2^3 + 94*T1^3*T2^3 + 88*T1^4*T2^3 + 88*T1^5*T2^3 + 
     94*T1^6*T2^3 - 54*T1^7*T2^3 + 4*T1^8*T2^3 + 2*T1^9*T2^3 - 3*T2^4 + 
     4*T1*T2^4 - 7*T1^2*T2^4 + 88*T1^3*T2^4 - 307*T1^4*T2^4 - 87*T1^5*T2^4 - 
     307*T1^6*T2^4 + 88*T1^7*T2^4 - 7*T1^8*T2^4 + 4*T1^9*T2^4 - 
     3*T1^10*T2^4 + T2^5 + 13*T1*T2^5 - 54*T1^2*T2^5 + 88*T1^3*T2^5 - 
     87*T1^4*T2^5 + 438*T1^5*T2^5 + 438*T1^6*T2^5 - 87*T1^7*T2^5 + 
     88*T1^8*T2^5 - 54*T1^9*T2^5 + 13*T1^10*T2^5 + T1^11*T2^5 - 8*T1*T2^6 + 
     T1^2*T2^6 + 94*T1^3*T2^6 - 307*T1^4*T2^6 + 438*T1^5*T2^6 - 
     1344*T1^6*T2^6 + 438*T1^7*T2^6 - 307*T1^8*T2^6 + 94*T1^9*T2^6 + 
     T1^10*T2^6 - 8*T1^11*T2^6 + T1*T2^7 + 13*T1^2*T2^7 - 54*T1^3*T2^7 + 
     88*T1^4*T2^7 - 87*T1^5*T2^7 + 438*T1^6*T2^7 + 438*T1^7*T2^7 - 
     87*T1^8*T2^7 + 88*T1^9*T2^7 - 54*T1^10*T2^7 + 13*T1^11*T2^7 + 
     T1^12*T2^7 - 3*T1^2*T2^8 + 4*T1^3*T2^8 - 7*T1^4*T2^8 + 88*T1^5*T2^8 - 
     307*T1^6*T2^8 - 87*T1^7*T2^8 - 307*T1^8*T2^8 + 88*T1^9*T2^8 - 
     7*T1^10*T2^8 + 4*T1^11*T2^8 - 3*T1^12*T2^8 + 2*T1^3*T2^9 + 4*T1^4*T2^9 - 
     54*T1^5*T2^9 + 94*T1^6*T2^9 + 88*T1^7*T2^9 + 88*T1^8*T2^9 + 
     94*T1^9*T2^9 - 54*T1^10*T2^9 + 4*T1^11*T2^9 + 2*T1^12*T2^9 - 
     3*T1^4*T2^10 + 13*T1^5*T2^10 + T1^6*T2^10 - 54*T1^7*T2^10 - 
     7*T1^8*T2^10 - 54*T1^9*T2^10 + T1^10*T2^10 + 13*T1^11*T2^10 - 
     3*T1^12*T2^10 + T1^5*T2^11 - 8*T1^6*T2^11 + 13*T1^7*T2^11 + 
     4*T1^8*T2^11 + 4*T1^9*T2^11 + 13*T1^10*T2^11 - 8*T1^11*T2^11 + 
     T1^12*T2^11 + T1^7*T2^12 - 3*T1^8*T2^12 + 2*T1^9*T2^12 - 3*T1^10*T2^12 + 
     T1^11*T2^12)/(T1^6*T2^6)}, 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, 
   (2 - 9*T1 + 21*T1^2 - 26*T1^3 + 21*T1^4 - 9*T1^5 + 2*T1^6 - 9*T2 + 
     28*T1*T2 - 46*T1^2*T2 + 16*T1^3*T2 + 16*T1^4*T2 - 46*T1^5*T2 + 
     28*T1^6*T2 - 9*T1^7*T2 + 21*T2^2 - 46*T1*T2^2 + 76*T1^2*T2^2 - 
     29*T1^3*T2^2 + 70*T1^4*T2^2 - 29*T1^5*T2^2 + 76*T1^6*T2^2 - 
     46*T1^7*T2^2 + 21*T1^8*T2^2 - 26*T2^3 + 16*T1*T2^3 - 29*T1^2*T2^3 - 
     60*T1^3*T2^3 - 83*T1^4*T2^3 - 83*T1^5*T2^3 - 60*T1^6*T2^3 - 
     29*T1^7*T2^3 + 16*T1^8*T2^3 - 26*T1^9*T2^3 + 21*T2^4 + 16*T1*T2^4 + 
     70*T1^2*T2^4 - 83*T1^3*T2^4 + 424*T1^4*T2^4 - 100*T1^5*T2^4 + 
     424*T1^6*T2^4 - 83*T1^7*T2^4 + 70*T1^8*T2^4 + 16*T1^9*T2^4 + 
     21*T1^10*T2^4 - 9*T2^5 - 46*T1*T2^5 - 29*T1^2*T2^5 - 83*T1^3*T2^5 - 
     100*T1^4*T2^5 - 360*T1^5*T2^5 - 360*T1^6*T2^5 - 100*T1^7*T2^5 - 
     83*T1^8*T2^5 - 29*T1^9*T2^5 - 46*T1^10*T2^5 - 9*T1^11*T2^5 + 2*T2^6 + 
     28*T1*T2^6 + 76*T1^2*T2^6 - 60*T1^3*T2^6 + 424*T1^4*T2^6 - 
     360*T1^5*T2^6 + 1236*T1^6*T2^6 - 360*T1^7*T2^6 + 424*T1^8*T2^6 - 
     60*T1^9*T2^6 + 76*T1^10*T2^6 + 28*T1^11*T2^6 + 2*T1^12*T2^6 - 
     9*T1*T2^7 - 46*T1^2*T2^7 - 29*T1^3*T2^7 - 83*T1^4*T2^7 - 100*T1^5*T2^7 - 
     360*T1^6*T2^7 - 360*T1^7*T2^7 - 100*T1^8*T2^7 - 83*T1^9*T2^7 - 
     29*T1^10*T2^7 - 46*T1^11*T2^7 - 9*T1^12*T2^7 + 21*T1^2*T2^8 + 
     16*T1^3*T2^8 + 70*T1^4*T2^8 - 83*T1^5*T2^8 + 424*T1^6*T2^8 - 
     100*T1^7*T2^8 + 424*T1^8*T2^8 - 83*T1^9*T2^8 + 70*T1^10*T2^8 + 
     16*T1^11*T2^8 + 21*T1^12*T2^8 - 26*T1^3*T2^9 + 16*T1^4*T2^9 - 
     29*T1^5*T2^9 - 60*T1^6*T2^9 - 83*T1^7*T2^9 - 83*T1^8*T2^9 - 
     60*T1^9*T2^9 - 29*T1^10*T2^9 + 16*T1^11*T2^9 - 26*T1^12*T2^9 + 
     21*T1^4*T2^10 - 46*T1^5*T2^10 + 76*T1^6*T2^10 - 29*T1^7*T2^10 + 
     70*T1^8*T2^10 - 29*T1^9*T2^10 + 76*T1^10*T2^10 - 46*T1^11*T2^10 + 
     21*T1^12*T2^10 - 9*T1^5*T2^11 + 28*T1^6*T2^11 - 46*T1^7*T2^11 + 
     16*T1^8*T2^11 + 16*T1^9*T2^11 - 46*T1^10*T2^11 + 28*T1^11*T2^11 - 
     9*T1^12*T2^11 + 2*T1^6*T2^12 - 9*T1^7*T2^12 + 21*T1^8*T2^12 - 
     26*T1^9*T2^12 + 21*T1^10*T2^12 - 9*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   -((T1^2 - 4*T1^3 + T1^4 - 2*T1*T2 - 2*T1^2*T2 + 13*T1^3*T2 + 13*T1^4*T2 - 
      2*T1^5*T2 - 2*T1^6*T2 + T2^2 - 2*T1*T2^2 + 45*T1^2*T2^2 - 
      102*T1^3*T2^2 + 37*T1^4*T2^2 - 102*T1^5*T2^2 + 45*T1^6*T2^2 - 
      2*T1^7*T2^2 + T1^8*T2^2 - 4*T2^3 + 13*T1*T2^3 - 102*T1^2*T2^3 + 
      126*T1^3*T2^3 + 77*T1^4*T2^3 + 77*T1^5*T2^3 + 126*T1^6*T2^3 - 
      102*T1^7*T2^3 + 13*T1^8*T2^3 - 4*T1^9*T2^3 + T2^4 + 13*T1*T2^4 + 
      37*T1^2*T2^4 + 77*T1^3*T2^4 - 301*T1^4*T2^4 - 85*T1^5*T2^4 - 
      301*T1^6*T2^4 + 77*T1^7*T2^4 + 37*T1^8*T2^4 + 13*T1^9*T2^4 + 
      T1^10*T2^4 - 2*T1*T2^5 - 102*T1^2*T2^5 + 77*T1^3*T2^5 - 85*T1^4*T2^5 + 
      428*T1^5*T2^5 + 428*T1^6*T2^5 - 85*T1^7*T2^5 + 77*T1^8*T2^5 - 
      102*T1^9*T2^5 - 2*T1^10*T2^5 - 2*T1*T2^6 + 45*T1^2*T2^6 + 
      126*T1^3*T2^6 - 301*T1^4*T2^6 + 428*T1^5*T2^6 - 1308*T1^6*T2^6 + 
      428*T1^7*T2^6 - 301*T1^8*T2^6 + 126*T1^9*T2^6 + 45*T1^10*T2^6 - 
      2*T1^11*T2^6 - 2*T1^2*T2^7 - 102*T1^3*T2^7 + 77*T1^4*T2^7 - 
      85*T1^5*T2^7 + 428*T1^6*T2^7 + 428*T1^7*T2^7 - 85*T1^8*T2^7 + 
      77*T1^9*T2^7 - 102*T1^10*T2^7 - 2*T1^11*T2^7 + T1^2*T2^8 + 
      13*T1^3*T2^8 + 37*T1^4*T2^8 + 77*T1^5*T2^8 - 301*T1^6*T2^8 - 
      85*T1^7*T2^8 - 301*T1^8*T2^8 + 77*T1^9*T2^8 + 37*T1^10*T2^8 + 
      13*T1^11*T2^8 + T1^12*T2^8 - 4*T1^3*T2^9 + 13*T1^4*T2^9 - 
      102*T1^5*T2^9 + 126*T1^6*T2^9 + 77*T1^7*T2^9 + 77*T1^8*T2^9 + 
      126*T1^9*T2^9 - 102*T1^10*T2^9 + 13*T1^11*T2^9 - 4*T1^12*T2^9 + 
      T1^4*T2^10 - 2*T1^5*T2^10 + 45*T1^6*T2^10 - 102*T1^7*T2^10 + 
      37*T1^8*T2^10 - 102*T1^9*T2^10 + 45*T1^10*T2^10 - 2*T1^11*T2^10 + 
      T1^12*T2^10 - 2*T1^6*T2^11 - 2*T1^7*T2^11 + 13*T1^8*T2^11 + 
      13*T1^9*T2^11 - 2*T1^10*T2^11 - 2*T1^11*T2^11 + T1^8*T2^12 - 
      4*T1^9*T2^12 + T1^10*T2^12)/(T1^6*T2^6))}, 
 Knot[11, Alternating, 290] -> 
  {-(((1 - T + T^2)*(3 - 12*T + 17*T^2 - 12*T^3 + 3*T^4))/T^3), 
   (3 - 15*T1 + 33*T1^2 - 45*T1^3 + 33*T1^4 - 15*T1^5 + 3*T1^6 - 15*T2 + 
     62*T1*T2 - 95*T1^2*T2 + 62*T1^3*T2 + 62*T1^4*T2 - 95*T1^5*T2 + 
     62*T1^6*T2 - 15*T1^7*T2 + 33*T2^2 - 95*T1*T2^2 + 39*T1^2*T2^2 + 
     104*T1^3*T2^2 - 299*T1^4*T2^2 + 104*T1^5*T2^2 + 39*T1^6*T2^2 - 
     95*T1^7*T2^2 + 33*T1^8*T2^2 - 45*T2^3 + 62*T1*T2^3 + 104*T1^2*T2^3 - 
     62*T1^3*T2^3 + 175*T1^4*T2^3 + 175*T1^5*T2^3 - 62*T1^6*T2^3 + 
     104*T1^7*T2^3 + 62*T1^8*T2^3 - 45*T1^9*T2^3 + 33*T2^4 + 62*T1*T2^4 - 
     299*T1^2*T2^4 + 175*T1^3*T2^4 - 1093*T1^4*T2^4 + 1103*T1^5*T2^4 - 
     1093*T1^6*T2^4 + 175*T1^7*T2^4 - 299*T1^8*T2^4 + 62*T1^9*T2^4 + 
     33*T1^10*T2^4 - 15*T2^5 - 95*T1*T2^5 + 104*T1^2*T2^5 + 175*T1^3*T2^5 + 
     1103*T1^4*T2^5 - 298*T1^5*T2^5 - 298*T1^6*T2^5 + 1103*T1^7*T2^5 + 
     175*T1^8*T2^5 + 104*T1^9*T2^5 - 95*T1^10*T2^5 - 15*T1^11*T2^5 + 3*T2^6 + 
     62*T1*T2^6 + 39*T1^2*T2^6 - 62*T1^3*T2^6 - 1093*T1^4*T2^6 - 
     298*T1^5*T2^6 + 372*T1^6*T2^6 - 298*T1^7*T2^6 - 1093*T1^8*T2^6 - 
     62*T1^9*T2^6 + 39*T1^10*T2^6 + 62*T1^11*T2^6 + 3*T1^12*T2^6 - 
     15*T1*T2^7 - 95*T1^2*T2^7 + 104*T1^3*T2^7 + 175*T1^4*T2^7 + 
     1103*T1^5*T2^7 - 298*T1^6*T2^7 - 298*T1^7*T2^7 + 1103*T1^8*T2^7 + 
     175*T1^9*T2^7 + 104*T1^10*T2^7 - 95*T1^11*T2^7 - 15*T1^12*T2^7 + 
     33*T1^2*T2^8 + 62*T1^3*T2^8 - 299*T1^4*T2^8 + 175*T1^5*T2^8 - 
     1093*T1^6*T2^8 + 1103*T1^7*T2^8 - 1093*T1^8*T2^8 + 175*T1^9*T2^8 - 
     299*T1^10*T2^8 + 62*T1^11*T2^8 + 33*T1^12*T2^8 - 45*T1^3*T2^9 + 
     62*T1^4*T2^9 + 104*T1^5*T2^9 - 62*T1^6*T2^9 + 175*T1^7*T2^9 + 
     175*T1^8*T2^9 - 62*T1^9*T2^9 + 104*T1^10*T2^9 + 62*T1^11*T2^9 - 
     45*T1^12*T2^9 + 33*T1^4*T2^10 - 95*T1^5*T2^10 + 39*T1^6*T2^10 + 
     104*T1^7*T2^10 - 299*T1^8*T2^10 + 104*T1^9*T2^10 + 39*T1^10*T2^10 - 
     95*T1^11*T2^10 + 33*T1^12*T2^10 - 15*T1^5*T2^11 + 62*T1^6*T2^11 - 
     95*T1^7*T2^11 + 62*T1^8*T2^11 + 62*T1^9*T2^11 - 95*T1^10*T2^11 + 
     62*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)/(T1^6*T2^6)}, Knot[11, Alternating, 291] -> 
  {(5 - 14*T + 20*T^2 - 21*T^3 + 20*T^4 - 14*T^5 + 5*T^6)/T^3, 
   (395 - 1085*T1 + 1537*T1^2 - 1607*T1^3 + 1537*T1^4 - 1085*T1^5 + 
     395*T1^6 - 1085*T2 + 1910*T1*T2 - 1259*T1^2*T2 + 200*T1^3*T2 + 
     200*T1^4*T2 - 1259*T1^5*T2 + 1910*T1^6*T2 - 1085*T1^7*T2 + 1537*T2^2 - 
     1259*T1*T2^2 - 837*T1^2*T2^2 + 1565*T1^3*T2^2 - 749*T1^4*T2^2 + 
     1565*T1^5*T2^2 - 837*T1^6*T2^2 - 1259*T1^7*T2^2 + 1537*T1^8*T2^2 - 
     1607*T2^3 + 200*T1*T2^3 + 1565*T1^2*T2^3 - 602*T1^3*T2^3 - 
     719*T1^4*T2^3 - 719*T1^5*T2^3 - 602*T1^6*T2^3 + 1565*T1^7*T2^3 + 
     200*T1^8*T2^3 - 1607*T1^9*T2^3 + 1537*T2^4 + 200*T1*T2^4 - 
     749*T1^2*T2^4 - 719*T1^3*T2^4 + 1064*T1^4*T2^4 + 704*T1^5*T2^4 + 
     1064*T1^6*T2^4 - 719*T1^7*T2^4 - 749*T1^8*T2^4 + 200*T1^9*T2^4 + 
     1537*T1^10*T2^4 - 1085*T2^5 - 1259*T1*T2^5 + 1565*T1^2*T2^5 - 
     719*T1^3*T2^5 + 704*T1^4*T2^5 - 1274*T1^5*T2^5 - 1274*T1^6*T2^5 + 
     704*T1^7*T2^5 - 719*T1^8*T2^5 + 1565*T1^9*T2^5 - 1259*T1^10*T2^5 - 
     1085*T1^11*T2^5 + 395*T2^6 + 1910*T1*T2^6 - 837*T1^2*T2^6 - 
     602*T1^3*T2^6 + 1064*T1^4*T2^6 - 1274*T1^5*T2^6 + 3108*T1^6*T2^6 - 
     1274*T1^7*T2^6 + 1064*T1^8*T2^6 - 602*T1^9*T2^6 - 837*T1^10*T2^6 + 
     1910*T1^11*T2^6 + 395*T1^12*T2^6 - 1085*T1*T2^7 - 1259*T1^2*T2^7 + 
     1565*T1^3*T2^7 - 719*T1^4*T2^7 + 704*T1^5*T2^7 - 1274*T1^6*T2^7 - 
     1274*T1^7*T2^7 + 704*T1^8*T2^7 - 719*T1^9*T2^7 + 1565*T1^10*T2^7 - 
     1259*T1^11*T2^7 - 1085*T1^12*T2^7 + 1537*T1^2*T2^8 + 200*T1^3*T2^8 - 
     749*T1^4*T2^8 - 719*T1^5*T2^8 + 1064*T1^6*T2^8 + 704*T1^7*T2^8 + 
     1064*T1^8*T2^8 - 719*T1^9*T2^8 - 749*T1^10*T2^8 + 200*T1^11*T2^8 + 
     1537*T1^12*T2^8 - 1607*T1^3*T2^9 + 200*T1^4*T2^9 + 1565*T1^5*T2^9 - 
     602*T1^6*T2^9 - 719*T1^7*T2^9 - 719*T1^8*T2^9 - 602*T1^9*T2^9 + 
     1565*T1^10*T2^9 + 200*T1^11*T2^9 - 1607*T1^12*T2^9 + 1537*T1^4*T2^10 - 
     1259*T1^5*T2^10 - 837*T1^6*T2^10 + 1565*T1^7*T2^10 - 749*T1^8*T2^10 + 
     1565*T1^9*T2^10 - 837*T1^10*T2^10 - 1259*T1^11*T2^10 + 
     1537*T1^12*T2^10 - 1085*T1^5*T2^11 + 1910*T1^6*T2^11 - 1259*T1^7*T2^11 + 
     200*T1^8*T2^11 + 200*T1^9*T2^11 - 1259*T1^10*T2^11 + 1910*T1^11*T2^11 - 
     1085*T1^12*T2^11 + 395*T1^6*T2^12 - 1085*T1^7*T2^12 + 1537*T1^8*T2^12 - 
     1607*T1^9*T2^12 + 1537*T1^10*T2^12 - 1085*T1^11*T2^12 + 395*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 292] -> 
  {(10 - 32*T + 45*T^2 - 32*T^3 + 10*T^4)/T^2, 
   (2285 - 7130*T1 + 9963*T1^2 - 7130*T1^3 + 2285*T1^4 - 7130*T2 + 
     15208*T1*T2 - 8908*T1^2*T2 - 8908*T1^3*T2 + 15208*T1^4*T2 - 
     7130*T1^5*T2 + 9963*T2^2 - 8908*T1*T2^2 - 16808*T1^2*T2^2 + 
     36282*T1^3*T2^2 - 16808*T1^4*T2^2 - 8908*T1^5*T2^2 + 9963*T1^6*T2^2 - 
     7130*T2^3 - 8908*T1*T2^3 + 36282*T1^2*T2^3 - 24488*T1^3*T2^3 - 
     24488*T1^4*T2^3 + 36282*T1^5*T2^3 - 8908*T1^6*T2^3 - 7130*T1^7*T2^3 + 
     2285*T2^4 + 15208*T1*T2^4 - 16808*T1^2*T2^4 - 24488*T1^3*T2^4 + 
     57804*T1^4*T2^4 - 24488*T1^5*T2^4 - 16808*T1^6*T2^4 + 15208*T1^7*T2^4 + 
     2285*T1^8*T2^4 - 7130*T1*T2^5 - 8908*T1^2*T2^5 + 36282*T1^3*T2^5 - 
     24488*T1^4*T2^5 - 24488*T1^5*T2^5 + 36282*T1^6*T2^5 - 8908*T1^7*T2^5 - 
     7130*T1^8*T2^5 + 9963*T1^2*T2^6 - 8908*T1^3*T2^6 - 16808*T1^4*T2^6 + 
     36282*T1^5*T2^6 - 16808*T1^6*T2^6 - 8908*T1^7*T2^6 + 9963*T1^8*T2^6 - 
     7130*T1^3*T2^7 + 15208*T1^4*T2^7 - 8908*T1^5*T2^7 - 8908*T1^6*T2^7 + 
     15208*T1^7*T2^7 - 7130*T1^8*T2^7 + 2285*T1^4*T2^8 - 7130*T1^5*T2^8 + 
     9963*T1^6*T2^8 - 7130*T1^7*T2^8 + 2285*T1^8*T2^8)/(T1^4*T2^4)}, 
 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 + 40*T1*T2 - 70*T1^2*T2 + 30*T1^3*T2 + 30*T1^6*T2 - 
      70*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 24*T2^2 - 70*T1*T2^2 + 
      60*T1^2*T2^2 + 123*T1^3*T2^2 - 115*T1^4*T2^2 + 48*T1^5*T2^2 - 
      115*T1^6*T2^2 + 123*T1^7*T2^2 + 60*T1^8*T2^2 - 70*T1^9*T2^2 + 
      24*T1^10*T2^2 - 30*T2^3 + 30*T1*T2^3 + 123*T1^2*T2^3 - 414*T1^3*T2^3 + 
      91*T1^4*T2^3 + 71*T1^5*T2^3 + 71*T1^6*T2^3 + 91*T1^7*T2^3 - 
      414*T1^8*T2^3 + 123*T1^9*T2^3 + 30*T1^10*T2^3 - 30*T1^11*T2^3 + 
      30*T2^4 - 115*T1^2*T2^4 + 91*T1^3*T2^4 + 776*T1^4*T2^4 - 
      777*T1^5*T2^4 + 492*T1^6*T2^4 - 777*T1^7*T2^4 + 776*T1^8*T2^4 + 
      91*T1^9*T2^4 - 115*T1^10*T2^4 + 30*T1^12*T2^4 - 30*T2^5 + 
      48*T1^2*T2^5 + 71*T1^3*T2^5 - 777*T1^4*T2^5 + 154*T1^5*T2^5 + 
      167*T1^6*T2^5 + 167*T1^7*T2^5 + 154*T1^8*T2^5 - 777*T1^9*T2^5 + 
      71*T1^10*T2^5 + 48*T1^11*T2^5 - 30*T1^13*T2^5 + 24*T2^6 + 30*T1*T2^6 - 
      115*T1^2*T2^6 + 71*T1^3*T2^6 + 492*T1^4*T2^6 + 167*T1^5*T2^6 - 
      120*T1^6*T2^6 - 220*T1^7*T2^6 - 120*T1^8*T2^6 + 167*T1^9*T2^6 + 
      492*T1^10*T2^6 + 71*T1^11*T2^6 - 115*T1^12*T2^6 + 30*T1^13*T2^6 + 
      24*T1^14*T2^6 - 10*T2^7 - 70*T1*T2^7 + 123*T1^2*T2^7 + 91*T1^3*T2^7 - 
      777*T1^4*T2^7 + 167*T1^5*T2^7 - 220*T1^6*T2^7 + 230*T1^7*T2^7 + 
      230*T1^8*T2^7 - 220*T1^9*T2^7 + 167*T1^10*T2^7 - 777*T1^11*T2^7 + 
      91*T1^12*T2^7 + 123*T1^13*T2^7 - 70*T1^14*T2^7 - 10*T1^15*T2^7 + 
      2*T2^8 + 40*T1*T2^8 + 60*T1^2*T2^8 - 414*T1^3*T2^8 + 776*T1^4*T2^8 + 
      154*T1^5*T2^8 - 120*T1^6*T2^8 + 230*T1^7*T2^8 - 516*T1^8*T2^8 + 
      230*T1^9*T2^8 - 120*T1^10*T2^8 + 154*T1^11*T2^8 + 776*T1^12*T2^8 - 
      414*T1^13*T2^8 + 60*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 
      10*T1*T2^9 - 70*T1^2*T2^9 + 123*T1^3*T2^9 + 91*T1^4*T2^9 - 
      777*T1^5*T2^9 + 167*T1^6*T2^9 - 220*T1^7*T2^9 + 230*T1^8*T2^9 + 
      230*T1^9*T2^9 - 220*T1^10*T2^9 + 167*T1^11*T2^9 - 777*T1^12*T2^9 + 
      91*T1^13*T2^9 + 123*T1^14*T2^9 - 70*T1^15*T2^9 - 10*T1^16*T2^9 + 
      24*T1^2*T2^10 + 30*T1^3*T2^10 - 115*T1^4*T2^10 + 71*T1^5*T2^10 + 
      492*T1^6*T2^10 + 167*T1^7*T2^10 - 120*T1^8*T2^10 - 220*T1^9*T2^10 - 
      120*T1^10*T2^10 + 167*T1^11*T2^10 + 492*T1^12*T2^10 + 71*T1^13*T2^10 - 
      115*T1^14*T2^10 + 30*T1^15*T2^10 + 24*T1^16*T2^10 - 30*T1^3*T2^11 + 
      48*T1^5*T2^11 + 71*T1^6*T2^11 - 777*T1^7*T2^11 + 154*T1^8*T2^11 + 
      167*T1^9*T2^11 + 167*T1^10*T2^11 + 154*T1^11*T2^11 - 777*T1^12*T2^11 + 
      71*T1^13*T2^11 + 48*T1^14*T2^11 - 30*T1^16*T2^11 + 30*T1^4*T2^12 - 
      115*T1^6*T2^12 + 91*T1^7*T2^12 + 776*T1^8*T2^12 - 777*T1^9*T2^12 + 
      492*T1^10*T2^12 - 777*T1^11*T2^12 + 776*T1^12*T2^12 + 91*T1^13*T2^12 - 
      115*T1^14*T2^12 + 30*T1^16*T2^12 - 30*T1^5*T2^13 + 30*T1^6*T2^13 + 
      123*T1^7*T2^13 - 414*T1^8*T2^13 + 91*T1^9*T2^13 + 71*T1^10*T2^13 + 
      71*T1^11*T2^13 + 91*T1^12*T2^13 - 414*T1^13*T2^13 + 123*T1^14*T2^13 + 
      30*T1^15*T2^13 - 30*T1^16*T2^13 + 24*T1^6*T2^14 - 70*T1^7*T2^14 + 
      60*T1^8*T2^14 + 123*T1^9*T2^14 - 115*T1^10*T2^14 + 48*T1^11*T2^14 - 
      115*T1^12*T2^14 + 123*T1^13*T2^14 + 60*T1^14*T2^14 - 70*T1^15*T2^14 + 
      24*T1^16*T2^14 - 10*T1^7*T2^15 + 40*T1^8*T2^15 - 70*T1^9*T2^15 + 
      30*T1^10*T2^15 + 30*T1^13*T2^15 - 70*T1^14*T2^15 + 40*T1^15*T2^15 - 
      10*T1^16*T2^15 + 2*T1^8*T2^16 - 10*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 - 
      10*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[11, Alternating, 294] -> 
  {(2 - 11*T + 29*T^2 - 39*T^3 + 29*T^4 - 11*T^5 + 2*T^6)/T^3, 
   -((9 - 49*T1 + 128*T1^2 - 171*T1^3 + 128*T1^4 - 49*T1^5 + 9*T1^6 - 49*T2 + 
      218*T1*T2 - 431*T1^2*T2 + 235*T1^3*T2 + 235*T1^4*T2 - 431*T1^5*T2 + 
      218*T1^6*T2 - 49*T1^7*T2 + 128*T2^2 - 431*T1*T2^2 + 482*T1^2*T2^2 + 
      681*T1^3*T2^2 - 1458*T1^4*T2^2 + 681*T1^5*T2^2 + 482*T1^6*T2^2 - 
      431*T1^7*T2^2 + 128*T1^8*T2^2 - 171*T2^3 + 235*T1*T2^3 + 
      681*T1^2*T2^3 - 2898*T1^3*T2^3 + 1771*T1^4*T2^3 + 1771*T1^5*T2^3 - 
      2898*T1^6*T2^3 + 681*T1^7*T2^3 + 235*T1^8*T2^3 - 171*T1^9*T2^3 + 
      128*T2^4 + 235*T1*T2^4 - 1458*T1^2*T2^4 + 1771*T1^3*T2^4 + 
      4058*T1^4*T2^4 - 7948*T1^5*T2^4 + 4058*T1^6*T2^4 + 1771*T1^7*T2^4 - 
      1458*T1^8*T2^4 + 235*T1^9*T2^4 + 128*T1^10*T2^4 - 49*T2^5 - 
      431*T1*T2^5 + 681*T1^2*T2^5 + 1771*T1^3*T2^5 - 7948*T1^4*T2^5 + 
      4868*T1^5*T2^5 + 4868*T1^6*T2^5 - 7948*T1^7*T2^5 + 1771*T1^8*T2^5 + 
      681*T1^9*T2^5 - 431*T1^10*T2^5 - 49*T1^11*T2^5 + 9*T2^6 + 218*T1*T2^6 + 
      482*T1^2*T2^6 - 2898*T1^3*T2^6 + 4058*T1^4*T2^6 + 4868*T1^5*T2^6 - 
      10980*T1^6*T2^6 + 4868*T1^7*T2^6 + 4058*T1^8*T2^6 - 2898*T1^9*T2^6 + 
      482*T1^10*T2^6 + 218*T1^11*T2^6 + 9*T1^12*T2^6 - 49*T1*T2^7 - 
      431*T1^2*T2^7 + 681*T1^3*T2^7 + 1771*T1^4*T2^7 - 7948*T1^5*T2^7 + 
      4868*T1^6*T2^7 + 4868*T1^7*T2^7 - 7948*T1^8*T2^7 + 1771*T1^9*T2^7 + 
      681*T1^10*T2^7 - 431*T1^11*T2^7 - 49*T1^12*T2^7 + 128*T1^2*T2^8 + 
      235*T1^3*T2^8 - 1458*T1^4*T2^8 + 1771*T1^5*T2^8 + 4058*T1^6*T2^8 - 
      7948*T1^7*T2^8 + 4058*T1^8*T2^8 + 1771*T1^9*T2^8 - 1458*T1^10*T2^8 + 
      235*T1^11*T2^8 + 128*T1^12*T2^8 - 171*T1^3*T2^9 + 235*T1^4*T2^9 + 
      681*T1^5*T2^9 - 2898*T1^6*T2^9 + 1771*T1^7*T2^9 + 1771*T1^8*T2^9 - 
      2898*T1^9*T2^9 + 681*T1^10*T2^9 + 235*T1^11*T2^9 - 171*T1^12*T2^9 + 
      128*T1^4*T2^10 - 431*T1^5*T2^10 + 482*T1^6*T2^10 + 681*T1^7*T2^10 - 
      1458*T1^8*T2^10 + 681*T1^9*T2^10 + 482*T1^10*T2^10 - 431*T1^11*T2^10 + 
      128*T1^12*T2^10 - 49*T1^5*T2^11 + 218*T1^6*T2^11 - 431*T1^7*T2^11 + 
      235*T1^8*T2^11 + 235*T1^9*T2^11 - 431*T1^10*T2^11 + 218*T1^11*T2^11 - 
      49*T1^12*T2^11 + 9*T1^6*T2^12 - 49*T1^7*T2^12 + 128*T1^8*T2^12 - 
      171*T1^9*T2^12 + 128*T1^10*T2^12 - 49*T1^11*T2^12 + 9*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[11, Alternating, 295] -> 
  {-((3 - 14*T + 24*T^2 - 27*T^3 + 24*T^4 - 14*T^5 + 3*T^6)/T^3), 
   (57 - 265*T1 + 449*T1^2 - 503*T1^3 + 449*T1^4 - 265*T1^5 + 57*T1^6 - 
     265*T2 + 968*T1*T2 - 860*T1^2*T2 + 253*T1^3*T2 + 253*T1^4*T2 - 
     860*T1^5*T2 + 968*T1^6*T2 - 265*T1^7*T2 + 449*T2^2 - 860*T1*T2^2 - 
     1703*T1^2*T2^2 + 3675*T1^3*T2^2 - 3863*T1^4*T2^2 + 3675*T1^5*T2^2 - 
     1703*T1^6*T2^2 - 860*T1^7*T2^2 + 449*T1^8*T2^2 - 503*T2^3 + 
     253*T1*T2^3 + 3675*T1^2*T2^3 - 3200*T1^3*T2^3 + 623*T1^4*T2^3 + 
     623*T1^5*T2^3 - 3200*T1^6*T2^3 + 3675*T1^7*T2^3 + 253*T1^8*T2^3 - 
     503*T1^9*T2^3 + 449*T2^4 + 253*T1*T2^4 - 3863*T1^2*T2^4 + 
     623*T1^3*T2^4 + 1662*T1^4*T2^4 - 1008*T1^5*T2^4 + 1662*T1^6*T2^4 + 
     623*T1^7*T2^4 - 3863*T1^8*T2^4 + 253*T1^9*T2^4 + 449*T1^10*T2^4 - 
     265*T2^5 - 860*T1*T2^5 + 3675*T1^2*T2^5 + 623*T1^3*T2^5 - 
     1008*T1^4*T2^5 - 384*T1^5*T2^5 - 384*T1^6*T2^5 - 1008*T1^7*T2^5 + 
     623*T1^8*T2^5 + 3675*T1^9*T2^5 - 860*T1^10*T2^5 - 265*T1^11*T2^5 + 
     57*T2^6 + 968*T1*T2^6 - 1703*T1^2*T2^6 - 3200*T1^3*T2^6 + 
     1662*T1^4*T2^6 - 384*T1^5*T2^6 + 1344*T1^6*T2^6 - 384*T1^7*T2^6 + 
     1662*T1^8*T2^6 - 3200*T1^9*T2^6 - 1703*T1^10*T2^6 + 968*T1^11*T2^6 + 
     57*T1^12*T2^6 - 265*T1*T2^7 - 860*T1^2*T2^7 + 3675*T1^3*T2^7 + 
     623*T1^4*T2^7 - 1008*T1^5*T2^7 - 384*T1^6*T2^7 - 384*T1^7*T2^7 - 
     1008*T1^8*T2^7 + 623*T1^9*T2^7 + 3675*T1^10*T2^7 - 860*T1^11*T2^7 - 
     265*T1^12*T2^7 + 449*T1^2*T2^8 + 253*T1^3*T2^8 - 3863*T1^4*T2^8 + 
     623*T1^5*T2^8 + 1662*T1^6*T2^8 - 1008*T1^7*T2^8 + 1662*T1^8*T2^8 + 
     623*T1^9*T2^8 - 3863*T1^10*T2^8 + 253*T1^11*T2^8 + 449*T1^12*T2^8 - 
     503*T1^3*T2^9 + 253*T1^4*T2^9 + 3675*T1^5*T2^9 - 3200*T1^6*T2^9 + 
     623*T1^7*T2^9 + 623*T1^8*T2^9 - 3200*T1^9*T2^9 + 3675*T1^10*T2^9 + 
     253*T1^11*T2^9 - 503*T1^12*T2^9 + 449*T1^4*T2^10 - 860*T1^5*T2^10 - 
     1703*T1^6*T2^10 + 3675*T1^7*T2^10 - 3863*T1^8*T2^10 + 3675*T1^9*T2^10 - 
     1703*T1^10*T2^10 - 860*T1^11*T2^10 + 449*T1^12*T2^10 - 265*T1^5*T2^11 + 
     968*T1^6*T2^11 - 860*T1^7*T2^11 + 253*T1^8*T2^11 + 253*T1^9*T2^11 - 
     860*T1^10*T2^11 + 968*T1^11*T2^11 - 265*T1^12*T2^11 + 57*T1^6*T2^12 - 
     265*T1^7*T2^12 + 449*T1^8*T2^12 - 503*T1^9*T2^12 + 449*T1^10*T2^12 - 
     265*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, Alternating, 296] -> {-((6 - 28*T + 43*T^2 - 28*T^3 + 6*T^4)/T^2), 
   (267 - 1250*T1 + 1909*T1^2 - 1250*T1^3 + 267*T1^4 - 1250*T2 + 4606*T1*T2 - 
     3094*T1^2*T2 - 3094*T1^3*T2 + 4606*T1^4*T2 - 1250*T1^5*T2 + 1909*T2^2 - 
     3094*T1*T2^2 - 11644*T1^2*T2^2 + 23686*T1^3*T2^2 - 11644*T1^4*T2^2 - 
     3094*T1^5*T2^2 + 1909*T1^6*T2^2 - 1250*T2^3 - 3094*T1*T2^3 + 
     23686*T1^2*T2^3 - 17310*T1^3*T2^3 - 17310*T1^4*T2^3 + 23686*T1^5*T2^3 - 
     3094*T1^6*T2^3 - 1250*T1^7*T2^3 + 267*T2^4 + 4606*T1*T2^4 - 
     11644*T1^2*T2^4 - 17310*T1^3*T2^4 + 43044*T1^4*T2^4 - 17310*T1^5*T2^4 - 
     11644*T1^6*T2^4 + 4606*T1^7*T2^4 + 267*T1^8*T2^4 - 1250*T1*T2^5 - 
     3094*T1^2*T2^5 + 23686*T1^3*T2^5 - 17310*T1^4*T2^5 - 17310*T1^5*T2^5 + 
     23686*T1^6*T2^5 - 3094*T1^7*T2^5 - 1250*T1^8*T2^5 + 1909*T1^2*T2^6 - 
     3094*T1^3*T2^6 - 11644*T1^4*T2^6 + 23686*T1^5*T2^6 - 11644*T1^6*T2^6 - 
     3094*T1^7*T2^6 + 1909*T1^8*T2^6 - 1250*T1^3*T2^7 + 4606*T1^4*T2^7 - 
     3094*T1^5*T2^7 - 3094*T1^6*T2^7 + 4606*T1^7*T2^7 - 1250*T1^8*T2^7 + 
     267*T1^4*T2^8 - 1250*T1^5*T2^8 + 1909*T1^6*T2^8 - 1250*T1^7*T2^8 + 
     267*T1^8*T2^8)/(T1^4*T2^4)}, 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)*
      (9 - 38*T1 + 53*T1^2 - 38*T1^3 + 9*T1^4 - 38*T2 + 124*T1*T2 - 
       66*T1^2*T2 - 66*T1^3*T2 + 124*T1^4*T2 - 38*T1^5*T2 + 53*T2^2 - 
       66*T1*T2^2 - 293*T1^2*T2^2 + 485*T1^3*T2^2 - 293*T1^4*T2^2 - 
       66*T1^5*T2^2 + 53*T1^6*T2^2 - 38*T2^3 - 66*T1*T2^3 + 485*T1^2*T2^3 - 
       268*T1^3*T2^3 - 268*T1^4*T2^3 + 485*T1^5*T2^3 - 66*T1^6*T2^3 - 
       38*T1^7*T2^3 + 9*T2^4 + 124*T1*T2^4 - 293*T1^2*T2^4 - 268*T1^3*T2^4 + 
       588*T1^4*T2^4 - 268*T1^5*T2^4 - 293*T1^6*T2^4 + 124*T1^7*T2^4 + 
       9*T1^8*T2^4 - 38*T1*T2^5 - 66*T1^2*T2^5 + 485*T1^3*T2^5 - 
       268*T1^4*T2^5 - 268*T1^5*T2^5 + 485*T1^6*T2^5 - 66*T1^7*T2^5 - 
       38*T1^8*T2^5 + 53*T1^2*T2^6 - 66*T1^3*T2^6 - 293*T1^4*T2^6 + 
       485*T1^5*T2^6 - 293*T1^6*T2^6 - 66*T1^7*T2^6 + 53*T1^8*T2^6 - 
       38*T1^3*T2^7 + 124*T1^4*T2^7 - 66*T1^5*T2^7 - 66*T1^6*T2^7 + 
       124*T1^7*T2^7 - 38*T1^8*T2^7 + 9*T1^4*T2^8 - 38*T1^5*T2^8 + 
       53*T1^6*T2^8 - 38*T1^7*T2^8 + 9*T1^8*T2^8))/(T1^6*T2^6))}, 
 Knot[11, Alternating, 298] -> 
  {(5 - 16*T + 28*T^2 - 33*T^3 + 28*T^4 - 16*T^5 + 5*T^6)/T^3, 
   (395 - 1235*T1 + 2135*T1^2 - 2503*T1^3 + 2135*T1^4 - 1235*T1^5 + 
     395*T1^6 - 1235*T2 + 2654*T1*T2 - 2863*T1^2*T2 + 1178*T1^3*T2 + 
     1178*T1^4*T2 - 2863*T1^5*T2 + 2654*T1^6*T2 - 1235*T1^7*T2 + 2135*T2^2 - 
     2863*T1*T2^2 + 1396*T1^2*T2^2 + 1345*T1^3*T2^2 - 2336*T1^4*T2^2 + 
     1345*T1^5*T2^2 + 1396*T1^6*T2^2 - 2863*T1^7*T2^2 + 2135*T1^8*T2^2 - 
     2503*T2^3 + 1178*T1*T2^3 + 1345*T1^2*T2^3 - 2996*T1^3*T2^3 + 
     1138*T1^4*T2^3 + 1138*T1^5*T2^3 - 2996*T1^6*T2^3 + 1345*T1^7*T2^3 + 
     1178*T1^8*T2^3 - 2503*T1^9*T2^3 + 2135*T2^4 + 1178*T1*T2^4 - 
     2336*T1^2*T2^4 + 1138*T1^3*T2^4 + 2666*T1^4*T2^4 - 3470*T1^5*T2^4 + 
     2666*T1^6*T2^4 + 1138*T1^7*T2^4 - 2336*T1^8*T2^4 + 1178*T1^9*T2^4 + 
     2135*T1^10*T2^4 - 1235*T2^5 - 2863*T1*T2^5 + 1345*T1^2*T2^5 + 
     1138*T1^3*T2^5 - 3470*T1^4*T2^5 + 1032*T1^5*T2^5 + 1032*T1^6*T2^5 - 
     3470*T1^7*T2^5 + 1138*T1^8*T2^5 + 1345*T1^9*T2^5 - 2863*T1^10*T2^5 - 
     1235*T1^11*T2^5 + 395*T2^6 + 2654*T1*T2^6 + 1396*T1^2*T2^6 - 
     2996*T1^3*T2^6 + 2666*T1^4*T2^6 + 1032*T1^5*T2^6 - 1404*T1^6*T2^6 + 
     1032*T1^7*T2^6 + 2666*T1^8*T2^6 - 2996*T1^9*T2^6 + 1396*T1^10*T2^6 + 
     2654*T1^11*T2^6 + 395*T1^12*T2^6 - 1235*T1*T2^7 - 2863*T1^2*T2^7 + 
     1345*T1^3*T2^7 + 1138*T1^4*T2^7 - 3470*T1^5*T2^7 + 1032*T1^6*T2^7 + 
     1032*T1^7*T2^7 - 3470*T1^8*T2^7 + 1138*T1^9*T2^7 + 1345*T1^10*T2^7 - 
     2863*T1^11*T2^7 - 1235*T1^12*T2^7 + 2135*T1^2*T2^8 + 1178*T1^3*T2^8 - 
     2336*T1^4*T2^8 + 1138*T1^5*T2^8 + 2666*T1^6*T2^8 - 3470*T1^7*T2^8 + 
     2666*T1^8*T2^8 + 1138*T1^9*T2^8 - 2336*T1^10*T2^8 + 1178*T1^11*T2^8 + 
     2135*T1^12*T2^8 - 2503*T1^3*T2^9 + 1178*T1^4*T2^9 + 1345*T1^5*T2^9 - 
     2996*T1^6*T2^9 + 1138*T1^7*T2^9 + 1138*T1^8*T2^9 - 2996*T1^9*T2^9 + 
     1345*T1^10*T2^9 + 1178*T1^11*T2^9 - 2503*T1^12*T2^9 + 2135*T1^4*T2^10 - 
     2863*T1^5*T2^10 + 1396*T1^6*T2^10 + 1345*T1^7*T2^10 - 2336*T1^8*T2^10 + 
     1345*T1^9*T2^10 + 1396*T1^10*T2^10 - 2863*T1^11*T2^10 + 
     2135*T1^12*T2^10 - 1235*T1^5*T2^11 + 2654*T1^6*T2^11 - 2863*T1^7*T2^11 + 
     1178*T1^8*T2^11 + 1178*T1^9*T2^11 - 2863*T1^10*T2^11 + 
     2654*T1^11*T2^11 - 1235*T1^12*T2^11 + 395*T1^6*T2^12 - 1235*T1^7*T2^12 + 
     2135*T1^8*T2^12 - 2503*T1^9*T2^12 + 2135*T1^10*T2^12 - 
     1235*T1^11*T2^12 + 395*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, Alternating, 299] -> {(8 - 24*T + 33*T^2 - 24*T^3 + 8*T^4)/T^2, 
   (1208 - 3540*T1 + 4842*T1^2 - 3540*T1^3 + 1208*T1^4 - 3540*T2 + 
     6884*T1*T2 - 3853*T1^2*T2 - 3853*T1^3*T2 + 6884*T1^4*T2 - 3540*T1^5*T2 + 
     4842*T2^2 - 3853*T1*T2^2 - 6700*T1^2*T2^2 + 14212*T1^3*T2^2 - 
     6700*T1^4*T2^2 - 3853*T1^5*T2^2 + 4842*T1^6*T2^2 - 3540*T2^3 - 
     3853*T1*T2^3 + 14212*T1^2*T2^3 - 9220*T1^3*T2^3 - 9220*T1^4*T2^3 + 
     14212*T1^5*T2^3 - 3853*T1^6*T2^3 - 3540*T1^7*T2^3 + 1208*T2^4 + 
     6884*T1*T2^4 - 6700*T1^2*T2^4 - 9220*T1^3*T2^4 + 21360*T1^4*T2^4 - 
     9220*T1^5*T2^4 - 6700*T1^6*T2^4 + 6884*T1^7*T2^4 + 1208*T1^8*T2^4 - 
     3540*T1*T2^5 - 3853*T1^2*T2^5 + 14212*T1^3*T2^5 - 9220*T1^4*T2^5 - 
     9220*T1^5*T2^5 + 14212*T1^6*T2^5 - 3853*T1^7*T2^5 - 3540*T1^8*T2^5 + 
     4842*T1^2*T2^6 - 3853*T1^3*T2^6 - 6700*T1^4*T2^6 + 14212*T1^5*T2^6 - 
     6700*T1^6*T2^6 - 3853*T1^7*T2^6 + 4842*T1^8*T2^6 - 3540*T1^3*T2^7 + 
     6884*T1^4*T2^7 - 3853*T1^5*T2^7 - 3853*T1^6*T2^7 + 6884*T1^7*T2^7 - 
     3540*T1^8*T2^7 + 1208*T1^4*T2^8 - 3540*T1^5*T2^8 + 4842*T1^6*T2^8 - 
     3540*T1^7*T2^8 + 1208*T1^8*T2^8)/(T1^4*T2^4)}, 
 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, 
   -((2*T1^3 - 9*T1^3*T2 - 9*T1^4*T2 - 9*T1^2*T2^2 + 48*T1^3*T2^2 + 
      3*T1^4*T2^2 + 48*T1^5*T2^2 - 9*T1^6*T2^2 + 2*T2^3 - 9*T1*T2^3 + 
      48*T1^2*T2^3 - 96*T1^3*T2^3 - 64*T1^4*T2^3 - 64*T1^5*T2^3 - 
      96*T1^6*T2^3 + 48*T1^7*T2^3 - 9*T1^8*T2^3 + 2*T1^9*T2^3 - 9*T1*T2^4 + 
      3*T1^2*T2^4 - 64*T1^3*T2^4 + 282*T1^4*T2^4 + 72*T1^5*T2^4 + 
      282*T1^6*T2^4 - 64*T1^7*T2^4 + 3*T1^8*T2^4 - 9*T1^9*T2^4 + 
      48*T1^2*T2^5 - 64*T1^3*T2^5 + 72*T1^4*T2^5 - 438*T1^5*T2^5 - 
      438*T1^6*T2^5 + 72*T1^7*T2^5 - 64*T1^8*T2^5 + 48*T1^9*T2^5 - 
      9*T1^2*T2^6 - 96*T1^3*T2^6 + 282*T1^4*T2^6 - 438*T1^5*T2^6 + 
      1404*T1^6*T2^6 - 438*T1^7*T2^6 + 282*T1^8*T2^6 - 96*T1^9*T2^6 - 
      9*T1^10*T2^6 + 48*T1^3*T2^7 - 64*T1^4*T2^7 + 72*T1^5*T2^7 - 
      438*T1^6*T2^7 - 438*T1^7*T2^7 + 72*T1^8*T2^7 - 64*T1^9*T2^7 + 
      48*T1^10*T2^7 - 9*T1^3*T2^8 + 3*T1^4*T2^8 - 64*T1^5*T2^8 + 
      282*T1^6*T2^8 + 72*T1^7*T2^8 + 282*T1^8*T2^8 - 64*T1^9*T2^8 + 
      3*T1^10*T2^8 - 9*T1^11*T2^8 + 2*T1^3*T2^9 - 9*T1^4*T2^9 + 
      48*T1^5*T2^9 - 96*T1^6*T2^9 - 64*T1^7*T2^9 - 64*T1^8*T2^9 - 
      96*T1^9*T2^9 + 48*T1^10*T2^9 - 9*T1^11*T2^9 + 2*T1^12*T2^9 - 
      9*T1^6*T2^10 + 48*T1^7*T2^10 + 3*T1^8*T2^10 + 48*T1^9*T2^10 - 
      9*T1^10*T2^10 - 9*T1^8*T2^11 - 9*T1^9*T2^11 + 2*T1^9*T2^12)/
     (T1^6*T2^6))}, 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), (1 - 7*T1 + 22*T1^2 - 43*T1^3 + 53*T1^4 - 43*T1^5 + 22*T1^6 - 
     7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 105*T1^2*T2 + 147*T1^3*T2 - 
     70*T1^4*T2 - 70*T1^5*T2 + 147*T1^6*T2 - 105*T1^7*T2 + 42*T1^8*T2 - 
     7*T1^9*T2 + 22*T2^2 - 105*T1*T2^2 + 164*T1^2*T2^2 - 23*T1^3*T2^2 - 
     460*T1^4*T2^2 + 712*T1^5*T2^2 - 460*T1^6*T2^2 - 23*T1^7*T2^2 + 
     164*T1^8*T2^2 - 105*T1^9*T2^2 + 22*T1^10*T2^2 - 43*T2^3 + 147*T1*T2^3 - 
     23*T1^2*T2^3 - 522*T1^3*T2^3 + 1308*T1^4*T2^3 - 676*T1^5*T2^3 - 
     676*T1^6*T2^3 + 1308*T1^7*T2^3 - 522*T1^8*T2^3 - 23*T1^9*T2^3 + 
     147*T1^10*T2^3 - 43*T1^11*T2^3 + 53*T2^4 - 70*T1*T2^4 - 460*T1^2*T2^4 + 
     1308*T1^3*T2^4 - 1551*T1^4*T2^4 - 1129*T1^5*T2^4 + 2583*T1^6*T2^4 - 
     1129*T1^7*T2^4 - 1551*T1^8*T2^4 + 1308*T1^9*T2^4 - 460*T1^10*T2^4 - 
     70*T1^11*T2^4 + 53*T1^12*T2^4 - 43*T2^5 - 70*T1*T2^5 + 712*T1^2*T2^5 - 
     676*T1^3*T2^5 - 1129*T1^4*T2^5 + 5220*T1^5*T2^5 - 2802*T1^6*T2^5 - 
     2802*T1^7*T2^5 + 5220*T1^8*T2^5 - 1129*T1^9*T2^5 - 676*T1^10*T2^5 + 
     712*T1^11*T2^5 - 70*T1^12*T2^5 - 43*T1^13*T2^5 + 22*T2^6 + 147*T1*T2^6 - 
     460*T1^2*T2^6 - 676*T1^3*T2^6 + 2583*T1^4*T2^6 - 2802*T1^5*T2^6 - 
     6771*T1^6*T2^6 + 11819*T1^7*T2^6 - 6771*T1^8*T2^6 - 2802*T1^9*T2^6 + 
     2583*T1^10*T2^6 - 676*T1^11*T2^6 - 460*T1^12*T2^6 + 147*T1^13*T2^6 + 
     22*T1^14*T2^6 - 7*T2^7 - 105*T1*T2^7 - 23*T1^2*T2^7 + 1308*T1^3*T2^7 - 
     1129*T1^4*T2^7 - 2802*T1^5*T2^7 + 11819*T1^6*T2^7 - 6292*T1^7*T2^7 - 
     6292*T1^8*T2^7 + 11819*T1^9*T2^7 - 2802*T1^10*T2^7 - 1129*T1^11*T2^7 + 
     1308*T1^12*T2^7 - 23*T1^13*T2^7 - 105*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 
     42*T1*T2^8 + 164*T1^2*T2^8 - 522*T1^3*T2^8 - 1551*T1^4*T2^8 + 
     5220*T1^5*T2^8 - 6771*T1^6*T2^8 - 6292*T1^7*T2^8 + 13308*T1^8*T2^8 - 
     6292*T1^9*T2^8 - 6771*T1^10*T2^8 + 5220*T1^11*T2^8 - 1551*T1^12*T2^8 - 
     522*T1^13*T2^8 + 164*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 
     7*T1*T2^9 - 105*T1^2*T2^9 - 23*T1^3*T2^9 + 1308*T1^4*T2^9 - 
     1129*T1^5*T2^9 - 2802*T1^6*T2^9 + 11819*T1^7*T2^9 - 6292*T1^8*T2^9 - 
     6292*T1^9*T2^9 + 11819*T1^10*T2^9 - 2802*T1^11*T2^9 - 1129*T1^12*T2^9 + 
     1308*T1^13*T2^9 - 23*T1^14*T2^9 - 105*T1^15*T2^9 - 7*T1^16*T2^9 + 
     22*T1^2*T2^10 + 147*T1^3*T2^10 - 460*T1^4*T2^10 - 676*T1^5*T2^10 + 
     2583*T1^6*T2^10 - 2802*T1^7*T2^10 - 6771*T1^8*T2^10 + 11819*T1^9*T2^10 - 
     6771*T1^10*T2^10 - 2802*T1^11*T2^10 + 2583*T1^12*T2^10 - 
     676*T1^13*T2^10 - 460*T1^14*T2^10 + 147*T1^15*T2^10 + 22*T1^16*T2^10 - 
     43*T1^3*T2^11 - 70*T1^4*T2^11 + 712*T1^5*T2^11 - 676*T1^6*T2^11 - 
     1129*T1^7*T2^11 + 5220*T1^8*T2^11 - 2802*T1^9*T2^11 - 2802*T1^10*T2^11 + 
     5220*T1^11*T2^11 - 1129*T1^12*T2^11 - 676*T1^13*T2^11 + 
     712*T1^14*T2^11 - 70*T1^15*T2^11 - 43*T1^16*T2^11 + 53*T1^4*T2^12 - 
     70*T1^5*T2^12 - 460*T1^6*T2^12 + 1308*T1^7*T2^12 - 1551*T1^8*T2^12 - 
     1129*T1^9*T2^12 + 2583*T1^10*T2^12 - 1129*T1^11*T2^12 - 
     1551*T1^12*T2^12 + 1308*T1^13*T2^12 - 460*T1^14*T2^12 - 70*T1^15*T2^12 + 
     53*T1^16*T2^12 - 43*T1^5*T2^13 + 147*T1^6*T2^13 - 23*T1^7*T2^13 - 
     522*T1^8*T2^13 + 1308*T1^9*T2^13 - 676*T1^10*T2^13 - 676*T1^11*T2^13 + 
     1308*T1^12*T2^13 - 522*T1^13*T2^13 - 23*T1^14*T2^13 + 147*T1^15*T2^13 - 
     43*T1^16*T2^13 + 22*T1^6*T2^14 - 105*T1^7*T2^14 + 164*T1^8*T2^14 - 
     23*T1^9*T2^14 - 460*T1^10*T2^14 + 712*T1^11*T2^14 - 460*T1^12*T2^14 - 
     23*T1^13*T2^14 + 164*T1^14*T2^14 - 105*T1^15*T2^14 + 22*T1^16*T2^14 - 
     7*T1^7*T2^15 + 42*T1^8*T2^15 - 105*T1^9*T2^15 + 147*T1^10*T2^15 - 
     70*T1^11*T2^15 - 70*T1^12*T2^15 + 147*T1^13*T2^15 - 105*T1^14*T2^15 + 
     42*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 
     22*T1^10*T2^16 - 43*T1^11*T2^16 + 53*T1^12*T2^16 - 43*T1^13*T2^16 + 
     22*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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 + 84*T1*T2 - 182*T1^2*T2 + 182*T1^3*T2 - 84*T1^4*T2 - 
      84*T1^5*T2 + 182*T1^6*T2 - 182*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
      40*T2^2 - 182*T1*T2^2 + 155*T1^2*T2^2 + 356*T1^3*T2^2 - 873*T1^4*T2^2 + 
      1181*T1^5*T2^2 - 873*T1^6*T2^2 + 356*T1^7*T2^2 + 155*T1^8*T2^2 - 
      182*T1^9*T2^2 + 40*T1^10*T2^2 - 66*T2^3 + 182*T1*T2^3 + 356*T1^2*T2^3 - 
      1520*T1^3*T2^3 + 1556*T1^4*T2^3 - 826*T1^5*T2^3 - 826*T1^6*T2^3 + 
      1556*T1^7*T2^3 - 1520*T1^8*T2^3 + 356*T1^9*T2^3 + 182*T1^10*T2^3 - 
      66*T1^11*T2^3 + 78*T2^4 - 84*T1*T2^4 - 873*T1^2*T2^4 + 1556*T1^3*T2^4 + 
      542*T1^4*T2^4 - 2400*T1^5*T2^4 + 3968*T1^6*T2^4 - 2400*T1^7*T2^4 + 
      542*T1^8*T2^4 + 1556*T1^9*T2^4 - 873*T1^10*T2^4 - 84*T1^11*T2^4 + 
      78*T1^12*T2^4 - 66*T2^5 - 84*T1*T2^5 + 1181*T1^2*T2^5 - 826*T1^3*T2^5 - 
      2400*T1^4*T2^5 + 2522*T1^5*T2^5 - 1857*T1^6*T2^5 - 1857*T1^7*T2^5 + 
      2522*T1^8*T2^5 - 2400*T1^9*T2^5 - 826*T1^10*T2^5 + 1181*T1^11*T2^5 - 
      84*T1^12*T2^5 - 66*T1^13*T2^5 + 40*T2^6 + 182*T1*T2^6 - 873*T1^2*T2^6 - 
      826*T1^3*T2^6 + 3968*T1^4*T2^6 - 1857*T1^5*T2^6 + 853*T1^6*T2^6 + 
      1699*T1^7*T2^6 + 853*T1^8*T2^6 - 1857*T1^9*T2^6 + 3968*T1^10*T2^6 - 
      826*T1^11*T2^6 - 873*T1^12*T2^6 + 182*T1^13*T2^6 + 40*T1^14*T2^6 - 
      14*T2^7 - 182*T1*T2^7 + 356*T1^2*T2^7 + 1556*T1^3*T2^7 - 
      2400*T1^4*T2^7 - 1857*T1^5*T2^7 + 1699*T1^6*T2^7 - 2126*T1^7*T2^7 - 
      2126*T1^8*T2^7 + 1699*T1^9*T2^7 - 1857*T1^10*T2^7 - 2400*T1^11*T2^7 + 
      1556*T1^12*T2^7 + 356*T1^13*T2^7 - 182*T1^14*T2^7 - 14*T1^15*T2^7 + 
      2*T2^8 + 84*T1*T2^8 + 155*T1^2*T2^8 - 1520*T1^3*T2^8 + 542*T1^4*T2^8 + 
      2522*T1^5*T2^8 + 853*T1^6*T2^8 - 2126*T1^7*T2^8 + 5388*T1^8*T2^8 - 
      2126*T1^9*T2^8 + 853*T1^10*T2^8 + 2522*T1^11*T2^8 + 542*T1^12*T2^8 - 
      1520*T1^13*T2^8 + 155*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 
      14*T1*T2^9 - 182*T1^2*T2^9 + 356*T1^3*T2^9 + 1556*T1^4*T2^9 - 
      2400*T1^5*T2^9 - 1857*T1^6*T2^9 + 1699*T1^7*T2^9 - 2126*T1^8*T2^9 - 
      2126*T1^9*T2^9 + 1699*T1^10*T2^9 - 1857*T1^11*T2^9 - 2400*T1^12*T2^9 + 
      1556*T1^13*T2^9 + 356*T1^14*T2^9 - 182*T1^15*T2^9 - 14*T1^16*T2^9 + 
      40*T1^2*T2^10 + 182*T1^3*T2^10 - 873*T1^4*T2^10 - 826*T1^5*T2^10 + 
      3968*T1^6*T2^10 - 1857*T1^7*T2^10 + 853*T1^8*T2^10 + 1699*T1^9*T2^10 + 
      853*T1^10*T2^10 - 1857*T1^11*T2^10 + 3968*T1^12*T2^10 - 
      826*T1^13*T2^10 - 873*T1^14*T2^10 + 182*T1^15*T2^10 + 40*T1^16*T2^10 - 
      66*T1^3*T2^11 - 84*T1^4*T2^11 + 1181*T1^5*T2^11 - 826*T1^6*T2^11 - 
      2400*T1^7*T2^11 + 2522*T1^8*T2^11 - 1857*T1^9*T2^11 - 
      1857*T1^10*T2^11 + 2522*T1^11*T2^11 - 2400*T1^12*T2^11 - 
      826*T1^13*T2^11 + 1181*T1^14*T2^11 - 84*T1^15*T2^11 - 66*T1^16*T2^11 + 
      78*T1^4*T2^12 - 84*T1^5*T2^12 - 873*T1^6*T2^12 + 1556*T1^7*T2^12 + 
      542*T1^8*T2^12 - 2400*T1^9*T2^12 + 3968*T1^10*T2^12 - 
      2400*T1^11*T2^12 + 542*T1^12*T2^12 + 1556*T1^13*T2^12 - 
      873*T1^14*T2^12 - 84*T1^15*T2^12 + 78*T1^16*T2^12 - 66*T1^5*T2^13 + 
      182*T1^6*T2^13 + 356*T1^7*T2^13 - 1520*T1^8*T2^13 + 1556*T1^9*T2^13 - 
      826*T1^10*T2^13 - 826*T1^11*T2^13 + 1556*T1^12*T2^13 - 
      1520*T1^13*T2^13 + 356*T1^14*T2^13 + 182*T1^15*T2^13 - 66*T1^16*T2^13 + 
      40*T1^6*T2^14 - 182*T1^7*T2^14 + 155*T1^8*T2^14 + 356*T1^9*T2^14 - 
      873*T1^10*T2^14 + 1181*T1^11*T2^14 - 873*T1^12*T2^14 + 
      356*T1^13*T2^14 + 155*T1^14*T2^14 - 182*T1^15*T2^14 + 40*T1^16*T2^14 - 
      14*T1^7*T2^15 + 84*T1^8*T2^15 - 182*T1^9*T2^15 + 182*T1^10*T2^15 - 
      84*T1^11*T2^15 - 84*T1^12*T2^15 + 182*T1^13*T2^15 - 182*T1^14*T2^15 + 
      84*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)/(T1^8*T2^8))}, 
 Knot[11, Alternating, 303] -> 
  {-((3 - 15*T + 34*T^2 - 45*T^3 + 34*T^4 - 15*T^5 + 3*T^6)/T^3), 
   -((3 - 15*T1 + 34*T1^2 - 47*T1^3 + 34*T1^4 - 15*T1^5 + 3*T1^6 - 15*T2 + 
      62*T1*T2 - 99*T1^2*T2 + 66*T1^3*T2 + 66*T1^4*T2 - 99*T1^5*T2 + 
      62*T1^6*T2 - 15*T1^7*T2 + 34*T2^2 - 99*T1*T2^2 + 65*T1^2*T2^2 + 
      75*T1^3*T2^2 - 295*T1^4*T2^2 + 75*T1^5*T2^2 + 65*T1^6*T2^2 - 
      99*T1^7*T2^2 + 34*T1^8*T2^2 - 47*T2^3 + 66*T1*T2^3 + 75*T1^2*T2^3 - 
      142*T1^3*T2^3 + 305*T1^4*T2^3 + 305*T1^5*T2^3 - 142*T1^6*T2^3 + 
      75*T1^7*T2^3 + 66*T1^8*T2^3 - 47*T1^9*T2^3 + 34*T2^4 + 66*T1*T2^4 - 
      295*T1^2*T2^4 + 305*T1^3*T2^4 - 640*T1^4*T2^4 - 200*T1^5*T2^4 - 
      640*T1^6*T2^4 + 305*T1^7*T2^4 - 295*T1^8*T2^4 + 66*T1^9*T2^4 + 
      34*T1^10*T2^4 - 15*T2^5 - 99*T1*T2^5 + 75*T1^2*T2^5 + 305*T1^3*T2^5 - 
      200*T1^4*T2^5 + 1004*T1^5*T2^5 + 1004*T1^6*T2^5 - 200*T1^7*T2^5 + 
      305*T1^8*T2^5 + 75*T1^9*T2^5 - 99*T1^10*T2^5 - 15*T1^11*T2^5 + 3*T2^6 + 
      62*T1*T2^6 + 65*T1^2*T2^6 - 142*T1^3*T2^6 - 640*T1^4*T2^6 + 
      1004*T1^5*T2^6 - 3252*T1^6*T2^6 + 1004*T1^7*T2^6 - 640*T1^8*T2^6 - 
      142*T1^9*T2^6 + 65*T1^10*T2^6 + 62*T1^11*T2^6 + 3*T1^12*T2^6 - 
      15*T1*T2^7 - 99*T1^2*T2^7 + 75*T1^3*T2^7 + 305*T1^4*T2^7 - 
      200*T1^5*T2^7 + 1004*T1^6*T2^7 + 1004*T1^7*T2^7 - 200*T1^8*T2^7 + 
      305*T1^9*T2^7 + 75*T1^10*T2^7 - 99*T1^11*T2^7 - 15*T1^12*T2^7 + 
      34*T1^2*T2^8 + 66*T1^3*T2^8 - 295*T1^4*T2^8 + 305*T1^5*T2^8 - 
      640*T1^6*T2^8 - 200*T1^7*T2^8 - 640*T1^8*T2^8 + 305*T1^9*T2^8 - 
      295*T1^10*T2^8 + 66*T1^11*T2^8 + 34*T1^12*T2^8 - 47*T1^3*T2^9 + 
      66*T1^4*T2^9 + 75*T1^5*T2^9 - 142*T1^6*T2^9 + 305*T1^7*T2^9 + 
      305*T1^8*T2^9 - 142*T1^9*T2^9 + 75*T1^10*T2^9 + 66*T1^11*T2^9 - 
      47*T1^12*T2^9 + 34*T1^4*T2^10 - 99*T1^5*T2^10 + 65*T1^6*T2^10 + 
      75*T1^7*T2^10 - 295*T1^8*T2^10 + 75*T1^9*T2^10 + 65*T1^10*T2^10 - 
      99*T1^11*T2^10 + 34*T1^12*T2^10 - 15*T1^5*T2^11 + 62*T1^6*T2^11 - 
      99*T1^7*T2^11 + 66*T1^8*T2^11 + 66*T1^9*T2^11 - 99*T1^10*T2^11 + 
      62*T1^11*T2^11 - 15*T1^12*T2^11 + 3*T1^6*T2^12 - 15*T1^7*T2^12 + 
      34*T1^8*T2^12 - 47*T1^9*T2^12 + 34*T1^10*T2^12 - 15*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, Alternating, 304] -> 
  {-((3 - 14*T + 26*T^2 - 31*T^3 + 26*T^4 - 14*T^5 + 3*T^6)/T^3), 
   -((57 - 265*T1 + 486*T1^2 - 577*T1^3 + 486*T1^4 - 265*T1^5 + 57*T1^6 - 
      265*T2 + 968*T1*T2 - 1031*T1^2*T2 + 424*T1^3*T2 + 424*T1^4*T2 - 
      1031*T1^5*T2 + 968*T1^6*T2 - 265*T1^7*T2 + 486*T2^2 - 1031*T1*T2^2 - 
      1085*T1^2*T2^2 + 3391*T1^3*T2^2 - 4283*T1^4*T2^2 + 3391*T1^5*T2^2 - 
      1085*T1^6*T2^2 - 1031*T1^7*T2^2 + 486*T1^8*T2^2 - 577*T2^3 + 
      424*T1*T2^3 + 3391*T1^2*T2^3 - 3918*T1^3*T2^3 + 1595*T1^4*T2^3 + 
      1595*T1^5*T2^3 - 3918*T1^6*T2^3 + 3391*T1^7*T2^3 + 424*T1^8*T2^3 - 
      577*T1^9*T2^3 + 486*T2^4 + 424*T1*T2^4 - 4283*T1^2*T2^4 + 
      1595*T1^3*T2^4 + 1587*T1^4*T2^4 - 2761*T1^5*T2^4 + 1587*T1^6*T2^4 + 
      1595*T1^7*T2^4 - 4283*T1^8*T2^4 + 424*T1^9*T2^4 + 486*T1^10*T2^4 - 
      265*T2^5 - 1031*T1*T2^5 + 3391*T1^2*T2^5 + 1595*T1^3*T2^5 - 
      2761*T1^4*T2^5 + 1180*T1^5*T2^5 + 1180*T1^6*T2^5 - 2761*T1^7*T2^5 + 
      1595*T1^8*T2^5 + 3391*T1^9*T2^5 - 1031*T1^10*T2^5 - 265*T1^11*T2^5 + 
      57*T2^6 + 968*T1*T2^6 - 1085*T1^2*T2^6 - 3918*T1^3*T2^6 + 
      1587*T1^4*T2^6 + 1180*T1^5*T2^6 - 2208*T1^6*T2^6 + 1180*T1^7*T2^6 + 
      1587*T1^8*T2^6 - 3918*T1^9*T2^6 - 1085*T1^10*T2^6 + 968*T1^11*T2^6 + 
      57*T1^12*T2^6 - 265*T1*T2^7 - 1031*T1^2*T2^7 + 3391*T1^3*T2^7 + 
      1595*T1^4*T2^7 - 2761*T1^5*T2^7 + 1180*T1^6*T2^7 + 1180*T1^7*T2^7 - 
      2761*T1^8*T2^7 + 1595*T1^9*T2^7 + 3391*T1^10*T2^7 - 1031*T1^11*T2^7 - 
      265*T1^12*T2^7 + 486*T1^2*T2^8 + 424*T1^3*T2^8 - 4283*T1^4*T2^8 + 
      1595*T1^5*T2^8 + 1587*T1^6*T2^8 - 2761*T1^7*T2^8 + 1587*T1^8*T2^8 + 
      1595*T1^9*T2^8 - 4283*T1^10*T2^8 + 424*T1^11*T2^8 + 486*T1^12*T2^8 - 
      577*T1^3*T2^9 + 424*T1^4*T2^9 + 3391*T1^5*T2^9 - 3918*T1^6*T2^9 + 
      1595*T1^7*T2^9 + 1595*T1^8*T2^9 - 3918*T1^9*T2^9 + 3391*T1^10*T2^9 + 
      424*T1^11*T2^9 - 577*T1^12*T2^9 + 486*T1^4*T2^10 - 1031*T1^5*T2^10 - 
      1085*T1^6*T2^10 + 3391*T1^7*T2^10 - 4283*T1^8*T2^10 + 3391*T1^9*T2^10 - 
      1085*T1^10*T2^10 - 1031*T1^11*T2^10 + 486*T1^12*T2^10 - 
      265*T1^5*T2^11 + 968*T1^6*T2^11 - 1031*T1^7*T2^11 + 424*T1^8*T2^11 + 
      424*T1^9*T2^11 - 1031*T1^10*T2^11 + 968*T1^11*T2^11 - 265*T1^12*T2^11 + 
      57*T1^6*T2^12 - 265*T1^7*T2^12 + 486*T1^8*T2^12 - 577*T1^9*T2^12 + 
      486*T1^10*T2^12 - 265*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, Alternating, 305] -> {-(((1 - 3*T + T^2)*(1 - T + T^2)^3)/T^4), 
   (1 - 6*T1 + 16*T1^2 - 28*T1^3 + 33*T1^4 - 28*T1^5 + 16*T1^6 - 6*T1^7 + 
     T1^8 - 6*T2 + 30*T1*T2 - 60*T1^2*T2 + 72*T1^3*T2 - 30*T1^4*T2 - 
     30*T1^5*T2 + 72*T1^6*T2 - 60*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 
     16*T2^2 - 60*T1*T2^2 + 55*T1^2*T2^2 + 39*T1^3*T2^2 - 239*T1^4*T2^2 + 
     313*T1^5*T2^2 - 239*T1^6*T2^2 + 39*T1^7*T2^2 + 55*T1^8*T2^2 - 
     60*T1^9*T2^2 + 16*T1^10*T2^2 - 28*T2^3 + 72*T1*T2^3 + 39*T1^2*T2^3 - 
     246*T1^3*T2^3 + 457*T1^4*T2^3 - 187*T1^5*T2^3 - 187*T1^6*T2^3 + 
     457*T1^7*T2^3 - 246*T1^8*T2^3 + 39*T1^9*T2^3 + 72*T1^10*T2^3 - 
     28*T1^11*T2^3 + 33*T2^4 - 30*T1*T2^4 - 239*T1^2*T2^4 + 457*T1^3*T2^4 - 
     443*T1^4*T2^4 - 302*T1^5*T2^4 + 563*T1^6*T2^4 - 302*T1^7*T2^4 - 
     443*T1^8*T2^4 + 457*T1^9*T2^4 - 239*T1^10*T2^4 - 30*T1^11*T2^4 + 
     33*T1^12*T2^4 - 28*T2^5 - 30*T1*T2^5 + 313*T1^2*T2^5 - 187*T1^3*T2^5 - 
     302*T1^4*T2^5 + 1170*T1^5*T2^5 - 529*T1^6*T2^5 - 529*T1^7*T2^5 + 
     1170*T1^8*T2^5 - 302*T1^9*T2^5 - 187*T1^10*T2^5 + 313*T1^11*T2^5 - 
     30*T1^12*T2^5 - 28*T1^13*T2^5 + 16*T2^6 + 72*T1*T2^6 - 239*T1^2*T2^6 - 
     187*T1^3*T2^6 + 563*T1^4*T2^6 - 529*T1^5*T2^6 - 1270*T1^6*T2^6 + 
     2070*T1^7*T2^6 - 1270*T1^8*T2^6 - 529*T1^9*T2^6 + 563*T1^10*T2^6 - 
     187*T1^11*T2^6 - 239*T1^12*T2^6 + 72*T1^13*T2^6 + 16*T1^14*T2^6 - 
     6*T2^7 - 60*T1*T2^7 + 39*T1^2*T2^7 + 457*T1^3*T2^7 - 302*T1^4*T2^7 - 
     529*T1^5*T2^7 + 2070*T1^6*T2^7 - 1064*T1^7*T2^7 - 1064*T1^8*T2^7 + 
     2070*T1^9*T2^7 - 529*T1^10*T2^7 - 302*T1^11*T2^7 + 457*T1^12*T2^7 + 
     39*T1^13*T2^7 - 60*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 
     55*T1^2*T2^8 - 246*T1^3*T2^8 - 443*T1^4*T2^8 + 1170*T1^5*T2^8 - 
     1270*T1^6*T2^8 - 1064*T1^7*T2^8 + 2292*T1^8*T2^8 - 1064*T1^9*T2^8 - 
     1270*T1^10*T2^8 + 1170*T1^11*T2^8 - 443*T1^12*T2^8 - 246*T1^13*T2^8 + 
     55*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 60*T1^2*T2^9 + 
     39*T1^3*T2^9 + 457*T1^4*T2^9 - 302*T1^5*T2^9 - 529*T1^6*T2^9 + 
     2070*T1^7*T2^9 - 1064*T1^8*T2^9 - 1064*T1^9*T2^9 + 2070*T1^10*T2^9 - 
     529*T1^11*T2^9 - 302*T1^12*T2^9 + 457*T1^13*T2^9 + 39*T1^14*T2^9 - 
     60*T1^15*T2^9 - 6*T1^16*T2^9 + 16*T1^2*T2^10 + 72*T1^3*T2^10 - 
     239*T1^4*T2^10 - 187*T1^5*T2^10 + 563*T1^6*T2^10 - 529*T1^7*T2^10 - 
     1270*T1^8*T2^10 + 2070*T1^9*T2^10 - 1270*T1^10*T2^10 - 529*T1^11*T2^10 + 
     563*T1^12*T2^10 - 187*T1^13*T2^10 - 239*T1^14*T2^10 + 72*T1^15*T2^10 + 
     16*T1^16*T2^10 - 28*T1^3*T2^11 - 30*T1^4*T2^11 + 313*T1^5*T2^11 - 
     187*T1^6*T2^11 - 302*T1^7*T2^11 + 1170*T1^8*T2^11 - 529*T1^9*T2^11 - 
     529*T1^10*T2^11 + 1170*T1^11*T2^11 - 302*T1^12*T2^11 - 187*T1^13*T2^11 + 
     313*T1^14*T2^11 - 30*T1^15*T2^11 - 28*T1^16*T2^11 + 33*T1^4*T2^12 - 
     30*T1^5*T2^12 - 239*T1^6*T2^12 + 457*T1^7*T2^12 - 443*T1^8*T2^12 - 
     302*T1^9*T2^12 + 563*T1^10*T2^12 - 302*T1^11*T2^12 - 443*T1^12*T2^12 + 
     457*T1^13*T2^12 - 239*T1^14*T2^12 - 30*T1^15*T2^12 + 33*T1^16*T2^12 - 
     28*T1^5*T2^13 + 72*T1^6*T2^13 + 39*T1^7*T2^13 - 246*T1^8*T2^13 + 
     457*T1^9*T2^13 - 187*T1^10*T2^13 - 187*T1^11*T2^13 + 457*T1^12*T2^13 - 
     246*T1^13*T2^13 + 39*T1^14*T2^13 + 72*T1^15*T2^13 - 28*T1^16*T2^13 + 
     16*T1^6*T2^14 - 60*T1^7*T2^14 + 55*T1^8*T2^14 + 39*T1^9*T2^14 - 
     239*T1^10*T2^14 + 313*T1^11*T2^14 - 239*T1^12*T2^14 + 39*T1^13*T2^14 + 
     55*T1^14*T2^14 - 60*T1^15*T2^14 + 16*T1^16*T2^14 - 6*T1^7*T2^15 + 
     30*T1^8*T2^15 - 60*T1^9*T2^15 + 72*T1^10*T2^15 - 30*T1^11*T2^15 - 
     30*T1^12*T2^15 + 72*T1^13*T2^15 - 60*T1^14*T2^15 + 30*T1^15*T2^15 - 
     6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 16*T1^10*T2^16 - 
     28*T1^11*T2^16 + 33*T1^12*T2^16 - 28*T1^13*T2^16 + 16*T1^14*T2^16 - 
     6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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 + 40*T1*T2 - 80*T1^2*T2 + 80*T1^3*T2 - 40*T1^4*T2 - 
      40*T1^5*T2 + 80*T1^6*T2 - 80*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
      26*T2^2 - 80*T1*T2^2 + 113*T1^2*T2^2 - 17*T1^3*T2^2 - 83*T1^4*T2^2 + 
      183*T1^5*T2^2 - 83*T1^6*T2^2 - 17*T1^7*T2^2 + 113*T1^8*T2^2 - 
      80*T1^9*T2^2 + 26*T1^10*T2^2 - 42*T2^3 + 80*T1*T2^3 - 17*T1^2*T2^3 - 
      240*T1^3*T2^3 + 260*T1^4*T2^3 - 204*T1^5*T2^3 - 204*T1^6*T2^3 + 
      260*T1^7*T2^3 - 240*T1^8*T2^3 - 17*T1^9*T2^3 + 80*T1^10*T2^3 - 
      42*T1^11*T2^3 + 50*T2^4 - 40*T1*T2^4 - 83*T1^2*T2^4 + 260*T1^3*T2^4 + 
      204*T1^4*T2^4 - 536*T1^5*T2^4 + 1052*T1^6*T2^4 - 536*T1^7*T2^4 + 
      204*T1^8*T2^4 + 260*T1^9*T2^4 - 83*T1^10*T2^4 - 40*T1^11*T2^4 + 
      50*T1^12*T2^4 - 42*T2^5 - 40*T1*T2^5 + 183*T1^2*T2^5 - 204*T1^3*T2^5 - 
      536*T1^4*T2^5 + 512*T1^5*T2^5 - 568*T1^6*T2^5 - 568*T1^7*T2^5 + 
      512*T1^8*T2^5 - 536*T1^9*T2^5 - 204*T1^10*T2^5 + 183*T1^11*T2^5 - 
      40*T1^12*T2^5 - 42*T1^13*T2^5 + 26*T2^6 + 80*T1*T2^6 - 83*T1^2*T2^6 - 
      204*T1^3*T2^6 + 1052*T1^4*T2^6 - 568*T1^5*T2^6 + 515*T1^6*T2^6 + 
      437*T1^7*T2^6 + 515*T1^8*T2^6 - 568*T1^9*T2^6 + 1052*T1^10*T2^6 - 
      204*T1^11*T2^6 - 83*T1^12*T2^6 + 80*T1^13*T2^6 + 26*T1^14*T2^6 - 
      10*T2^7 - 80*T1*T2^7 - 17*T1^2*T2^7 + 260*T1^3*T2^7 - 536*T1^4*T2^7 - 
      568*T1^5*T2^7 + 437*T1^6*T2^7 - 788*T1^7*T2^7 - 788*T1^8*T2^7 + 
      437*T1^9*T2^7 - 568*T1^10*T2^7 - 536*T1^11*T2^7 + 260*T1^12*T2^7 - 
      17*T1^13*T2^7 - 80*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 + 
      113*T1^2*T2^8 - 240*T1^3*T2^8 + 204*T1^4*T2^8 + 512*T1^5*T2^8 + 
      515*T1^6*T2^8 - 788*T1^7*T2^8 + 2088*T1^8*T2^8 - 788*T1^9*T2^8 + 
      515*T1^10*T2^8 + 512*T1^11*T2^8 + 204*T1^12*T2^8 - 240*T1^13*T2^8 + 
      113*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
      80*T1^2*T2^9 - 17*T1^3*T2^9 + 260*T1^4*T2^9 - 536*T1^5*T2^9 - 
      568*T1^6*T2^9 + 437*T1^7*T2^9 - 788*T1^8*T2^9 - 788*T1^9*T2^9 + 
      437*T1^10*T2^9 - 568*T1^11*T2^9 - 536*T1^12*T2^9 + 260*T1^13*T2^9 - 
      17*T1^14*T2^9 - 80*T1^15*T2^9 - 10*T1^16*T2^9 + 26*T1^2*T2^10 + 
      80*T1^3*T2^10 - 83*T1^4*T2^10 - 204*T1^5*T2^10 + 1052*T1^6*T2^10 - 
      568*T1^7*T2^10 + 515*T1^8*T2^10 + 437*T1^9*T2^10 + 515*T1^10*T2^10 - 
      568*T1^11*T2^10 + 1052*T1^12*T2^10 - 204*T1^13*T2^10 - 83*T1^14*T2^10 + 
      80*T1^15*T2^10 + 26*T1^16*T2^10 - 42*T1^3*T2^11 - 40*T1^4*T2^11 + 
      183*T1^5*T2^11 - 204*T1^6*T2^11 - 536*T1^7*T2^11 + 512*T1^8*T2^11 - 
      568*T1^9*T2^11 - 568*T1^10*T2^11 + 512*T1^11*T2^11 - 536*T1^12*T2^11 - 
      204*T1^13*T2^11 + 183*T1^14*T2^11 - 40*T1^15*T2^11 - 42*T1^16*T2^11 + 
      50*T1^4*T2^12 - 40*T1^5*T2^12 - 83*T1^6*T2^12 + 260*T1^7*T2^12 + 
      204*T1^8*T2^12 - 536*T1^9*T2^12 + 1052*T1^10*T2^12 - 536*T1^11*T2^12 + 
      204*T1^12*T2^12 + 260*T1^13*T2^12 - 83*T1^14*T2^12 - 40*T1^15*T2^12 + 
      50*T1^16*T2^12 - 42*T1^5*T2^13 + 80*T1^6*T2^13 - 17*T1^7*T2^13 - 
      240*T1^8*T2^13 + 260*T1^9*T2^13 - 204*T1^10*T2^13 - 204*T1^11*T2^13 + 
      260*T1^12*T2^13 - 240*T1^13*T2^13 - 17*T1^14*T2^13 + 80*T1^15*T2^13 - 
      42*T1^16*T2^13 + 26*T1^6*T2^14 - 80*T1^7*T2^14 + 113*T1^8*T2^14 - 
      17*T1^9*T2^14 - 83*T1^10*T2^14 + 183*T1^11*T2^14 - 83*T1^12*T2^14 - 
      17*T1^13*T2^14 + 113*T1^14*T2^14 - 80*T1^15*T2^14 + 26*T1^16*T2^14 - 
      10*T1^7*T2^15 + 40*T1^8*T2^15 - 80*T1^9*T2^15 + 80*T1^10*T2^15 - 
      40*T1^11*T2^15 - 40*T1^12*T2^15 + 80*T1^13*T2^15 - 80*T1^14*T2^15 + 
      40*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)/(T1^8*T2^8))}, 
 Knot[11, Alternating, 307] -> 
  {(2 - 9*T + 19*T^2 - 23*T^3 + 19*T^4 - 9*T^5 + 2*T^6)/T^3, 
   -((9 - 41*T1 + 87*T1^2 - 105*T1^3 + 87*T1^4 - 41*T1^5 + 9*T1^6 - 41*T2 + 
      146*T1*T2 - 210*T1^2*T2 + 82*T1^3*T2 + 82*T1^4*T2 - 210*T1^5*T2 + 
      146*T1^6*T2 - 41*T1^7*T2 + 87*T2^2 - 210*T1*T2^2 + 75*T1^2*T2^2 + 
      427*T1^3*T2^2 - 553*T1^4*T2^2 + 427*T1^5*T2^2 + 75*T1^6*T2^2 - 
      210*T1^7*T2^2 + 87*T1^8*T2^2 - 105*T2^3 + 82*T1*T2^3 + 427*T1^2*T2^3 - 
      1044*T1^3*T2^3 + 364*T1^4*T2^3 + 364*T1^5*T2^3 - 1044*T1^6*T2^3 + 
      427*T1^7*T2^3 + 82*T1^8*T2^3 - 105*T1^9*T2^3 + 87*T2^4 + 82*T1*T2^4 - 
      553*T1^2*T2^4 + 364*T1^3*T2^4 + 1527*T1^4*T2^4 - 2001*T1^5*T2^4 + 
      1527*T1^6*T2^4 + 364*T1^7*T2^4 - 553*T1^8*T2^4 + 82*T1^9*T2^4 + 
      87*T1^10*T2^4 - 41*T2^5 - 210*T1*T2^5 + 427*T1^2*T2^5 + 364*T1^3*T2^5 - 
      2001*T1^4*T2^5 + 764*T1^5*T2^5 + 764*T1^6*T2^5 - 2001*T1^7*T2^5 + 
      364*T1^8*T2^5 + 427*T1^9*T2^5 - 210*T1^10*T2^5 - 41*T1^11*T2^5 + 
      9*T2^6 + 146*T1*T2^6 + 75*T1^2*T2^6 - 1044*T1^3*T2^6 + 1527*T1^4*T2^6 + 
      764*T1^5*T2^6 - 1416*T1^6*T2^6 + 764*T1^7*T2^6 + 1527*T1^8*T2^6 - 
      1044*T1^9*T2^6 + 75*T1^10*T2^6 + 146*T1^11*T2^6 + 9*T1^12*T2^6 - 
      41*T1*T2^7 - 210*T1^2*T2^7 + 427*T1^3*T2^7 + 364*T1^4*T2^7 - 
      2001*T1^5*T2^7 + 764*T1^6*T2^7 + 764*T1^7*T2^7 - 2001*T1^8*T2^7 + 
      364*T1^9*T2^7 + 427*T1^10*T2^7 - 210*T1^11*T2^7 - 41*T1^12*T2^7 + 
      87*T1^2*T2^8 + 82*T1^3*T2^8 - 553*T1^4*T2^8 + 364*T1^5*T2^8 + 
      1527*T1^6*T2^8 - 2001*T1^7*T2^8 + 1527*T1^8*T2^8 + 364*T1^9*T2^8 - 
      553*T1^10*T2^8 + 82*T1^11*T2^8 + 87*T1^12*T2^8 - 105*T1^3*T2^9 + 
      82*T1^4*T2^9 + 427*T1^5*T2^9 - 1044*T1^6*T2^9 + 364*T1^7*T2^9 + 
      364*T1^8*T2^9 - 1044*T1^9*T2^9 + 427*T1^10*T2^9 + 82*T1^11*T2^9 - 
      105*T1^12*T2^9 + 87*T1^4*T2^10 - 210*T1^5*T2^10 + 75*T1^6*T2^10 + 
      427*T1^7*T2^10 - 553*T1^8*T2^10 + 427*T1^9*T2^10 + 75*T1^10*T2^10 - 
      210*T1^11*T2^10 + 87*T1^12*T2^10 - 41*T1^5*T2^11 + 146*T1^6*T2^11 - 
      210*T1^7*T2^11 + 82*T1^8*T2^11 + 82*T1^9*T2^11 - 210*T1^10*T2^11 + 
      146*T1^11*T2^11 - 41*T1^12*T2^11 + 9*T1^6*T2^12 - 41*T1^7*T2^12 + 
      87*T1^8*T2^12 - 105*T1^9*T2^12 + 87*T1^10*T2^12 - 41*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, 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), 
   -((3 - 15*T1 + 27*T1^2 - 39*T1^3 + 45*T1^4 - 39*T1^5 + 27*T1^6 - 15*T1^7 + 
      3*T1^8 - 15*T2 + 60*T1*T2 - 60*T1^2*T2 + 60*T1^3*T2 - 30*T1^4*T2 - 
      30*T1^5*T2 + 60*T1^6*T2 - 60*T1^7*T2 + 60*T1^8*T2 - 15*T1^9*T2 + 
      27*T2^2 - 60*T1*T2^2 - 100*T1^2*T2^2 + 184*T1^3*T2^2 - 320*T1^4*T2^2 + 
      414*T1^5*T2^2 - 320*T1^6*T2^2 + 184*T1^7*T2^2 - 100*T1^8*T2^2 - 
      60*T1^9*T2^2 + 27*T1^10*T2^2 - 39*T2^3 + 60*T1*T2^3 + 184*T1^2*T2^3 - 
      96*T1^3*T2^3 + 164*T1^4*T2^3 - 116*T1^5*T2^3 - 116*T1^6*T2^3 + 
      164*T1^7*T2^3 - 96*T1^8*T2^3 + 184*T1^9*T2^3 + 60*T1^10*T2^3 - 
      39*T1^11*T2^3 + 45*T2^4 - 30*T1*T2^4 - 320*T1^2*T2^4 + 164*T1^3*T2^4 - 
      471*T1^4*T2^4 + 509*T1^5*T2^4 - 399*T1^6*T2^4 + 509*T1^7*T2^4 - 
      471*T1^8*T2^4 + 164*T1^9*T2^4 - 320*T1^10*T2^4 - 30*T1^11*T2^4 + 
      45*T1^12*T2^4 - 39*T2^5 - 30*T1*T2^5 + 414*T1^2*T2^5 - 116*T1^3*T2^5 + 
      509*T1^4*T2^5 - 264*T1^5*T2^5 + 6*T1^6*T2^5 + 6*T1^7*T2^5 - 
      264*T1^8*T2^5 + 509*T1^9*T2^5 - 116*T1^10*T2^5 + 414*T1^11*T2^5 - 
      30*T1^12*T2^5 - 39*T1^13*T2^5 + 27*T2^6 + 60*T1*T2^6 - 320*T1^2*T2^6 - 
      116*T1^3*T2^6 - 399*T1^4*T2^6 + 6*T1^5*T2^6 - 12*T1^6*T2^6 + 
      210*T1^7*T2^6 - 12*T1^8*T2^6 + 6*T1^9*T2^6 - 399*T1^10*T2^6 - 
      116*T1^11*T2^6 - 320*T1^12*T2^6 + 60*T1^13*T2^6 + 27*T1^14*T2^6 - 
      15*T2^7 - 60*T1*T2^7 + 184*T1^2*T2^7 + 164*T1^3*T2^7 + 509*T1^4*T2^7 + 
      6*T1^5*T2^7 + 210*T1^6*T2^7 - 230*T1^7*T2^7 - 230*T1^8*T2^7 + 
      210*T1^9*T2^7 + 6*T1^10*T2^7 + 509*T1^11*T2^7 + 164*T1^12*T2^7 + 
      184*T1^13*T2^7 - 60*T1^14*T2^7 - 15*T1^15*T2^7 + 3*T2^8 + 60*T1*T2^8 - 
      100*T1^2*T2^8 - 96*T1^3*T2^8 - 471*T1^4*T2^8 - 264*T1^5*T2^8 - 
      12*T1^6*T2^8 - 230*T1^7*T2^8 + 600*T1^8*T2^8 - 230*T1^9*T2^8 - 
      12*T1^10*T2^8 - 264*T1^11*T2^8 - 471*T1^12*T2^8 - 96*T1^13*T2^8 - 
      100*T1^14*T2^8 + 60*T1^15*T2^8 + 3*T1^16*T2^8 - 15*T1*T2^9 - 
      60*T1^2*T2^9 + 184*T1^3*T2^9 + 164*T1^4*T2^9 + 509*T1^5*T2^9 + 
      6*T1^6*T2^9 + 210*T1^7*T2^9 - 230*T1^8*T2^9 - 230*T1^9*T2^9 + 
      210*T1^10*T2^9 + 6*T1^11*T2^9 + 509*T1^12*T2^9 + 164*T1^13*T2^9 + 
      184*T1^14*T2^9 - 60*T1^15*T2^9 - 15*T1^16*T2^9 + 27*T1^2*T2^10 + 
      60*T1^3*T2^10 - 320*T1^4*T2^10 - 116*T1^5*T2^10 - 399*T1^6*T2^10 + 
      6*T1^7*T2^10 - 12*T1^8*T2^10 + 210*T1^9*T2^10 - 12*T1^10*T2^10 + 
      6*T1^11*T2^10 - 399*T1^12*T2^10 - 116*T1^13*T2^10 - 320*T1^14*T2^10 + 
      60*T1^15*T2^10 + 27*T1^16*T2^10 - 39*T1^3*T2^11 - 30*T1^4*T2^11 + 
      414*T1^5*T2^11 - 116*T1^6*T2^11 + 509*T1^7*T2^11 - 264*T1^8*T2^11 + 
      6*T1^9*T2^11 + 6*T1^10*T2^11 - 264*T1^11*T2^11 + 509*T1^12*T2^11 - 
      116*T1^13*T2^11 + 414*T1^14*T2^11 - 30*T1^15*T2^11 - 39*T1^16*T2^11 + 
      45*T1^4*T2^12 - 30*T1^5*T2^12 - 320*T1^6*T2^12 + 164*T1^7*T2^12 - 
      471*T1^8*T2^12 + 509*T1^9*T2^12 - 399*T1^10*T2^12 + 509*T1^11*T2^12 - 
      471*T1^12*T2^12 + 164*T1^13*T2^12 - 320*T1^14*T2^12 - 30*T1^15*T2^12 + 
      45*T1^16*T2^12 - 39*T1^5*T2^13 + 60*T1^6*T2^13 + 184*T1^7*T2^13 - 
      96*T1^8*T2^13 + 164*T1^9*T2^13 - 116*T1^10*T2^13 - 116*T1^11*T2^13 + 
      164*T1^12*T2^13 - 96*T1^13*T2^13 + 184*T1^14*T2^13 + 60*T1^15*T2^13 - 
      39*T1^16*T2^13 + 27*T1^6*T2^14 - 60*T1^7*T2^14 - 100*T1^8*T2^14 + 
      184*T1^9*T2^14 - 320*T1^10*T2^14 + 414*T1^11*T2^14 - 320*T1^12*T2^14 + 
      184*T1^13*T2^14 - 100*T1^14*T2^14 - 60*T1^15*T2^14 + 27*T1^16*T2^14 - 
      15*T1^7*T2^15 + 60*T1^8*T2^15 - 60*T1^9*T2^15 + 60*T1^10*T2^15 - 
      30*T1^11*T2^15 - 30*T1^12*T2^15 + 60*T1^13*T2^15 - 60*T1^14*T2^15 + 
      60*T1^15*T2^15 - 15*T1^16*T2^15 + 3*T1^8*T2^16 - 15*T1^9*T2^16 + 
      27*T1^10*T2^16 - 39*T1^11*T2^16 + 45*T1^12*T2^16 - 39*T1^13*T2^16 + 
      27*T1^14*T2^16 - 15*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[11, Alternating, 309] -> 
  {-((2 - 11*T + 21*T^2 - 25*T^3 + 21*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((17 - 93*T1 + 177*T1^2 - 211*T1^3 + 177*T1^4 - 93*T1^5 + 17*T1^6 - 
      93*T2 + 416*T1*T2 - 460*T1^2*T2 + 186*T1^3*T2 + 186*T1^4*T2 - 
      460*T1^5*T2 + 416*T1^6*T2 - 93*T1^7*T2 + 177*T2^2 - 460*T1*T2^2 - 
      719*T1^2*T2^2 + 2055*T1^3*T2^2 - 2543*T1^4*T2^2 + 2055*T1^5*T2^2 - 
      719*T1^6*T2^2 - 460*T1^7*T2^2 + 177*T1^8*T2^2 - 211*T2^3 + 
      186*T1*T2^3 + 2055*T1^2*T2^3 - 2420*T1^3*T2^3 + 954*T1^4*T2^3 + 
      954*T1^5*T2^3 - 2420*T1^6*T2^3 + 2055*T1^7*T2^3 + 186*T1^8*T2^3 - 
      211*T1^9*T2^3 + 177*T2^4 + 186*T1*T2^4 - 2543*T1^2*T2^4 + 
      954*T1^3*T2^4 + 1213*T1^4*T2^4 - 1987*T1^5*T2^4 + 1213*T1^6*T2^4 + 
      954*T1^7*T2^4 - 2543*T1^8*T2^4 + 186*T1^9*T2^4 + 177*T1^10*T2^4 - 
      93*T2^5 - 460*T1*T2^5 + 2055*T1^2*T2^5 + 954*T1^3*T2^5 - 
      1987*T1^4*T2^5 + 902*T1^5*T2^5 + 902*T1^6*T2^5 - 1987*T1^7*T2^5 + 
      954*T1^8*T2^5 + 2055*T1^9*T2^5 - 460*T1^10*T2^5 - 93*T1^11*T2^5 + 
      17*T2^6 + 416*T1*T2^6 - 719*T1^2*T2^6 - 2420*T1^3*T2^6 + 
      1213*T1^4*T2^6 + 902*T1^5*T2^6 - 1836*T1^6*T2^6 + 902*T1^7*T2^6 + 
      1213*T1^8*T2^6 - 2420*T1^9*T2^6 - 719*T1^10*T2^6 + 416*T1^11*T2^6 + 
      17*T1^12*T2^6 - 93*T1*T2^7 - 460*T1^2*T2^7 + 2055*T1^3*T2^7 + 
      954*T1^4*T2^7 - 1987*T1^5*T2^7 + 902*T1^6*T2^7 + 902*T1^7*T2^7 - 
      1987*T1^8*T2^7 + 954*T1^9*T2^7 + 2055*T1^10*T2^7 - 460*T1^11*T2^7 - 
      93*T1^12*T2^7 + 177*T1^2*T2^8 + 186*T1^3*T2^8 - 2543*T1^4*T2^8 + 
      954*T1^5*T2^8 + 1213*T1^6*T2^8 - 1987*T1^7*T2^8 + 1213*T1^8*T2^8 + 
      954*T1^9*T2^8 - 2543*T1^10*T2^8 + 186*T1^11*T2^8 + 177*T1^12*T2^8 - 
      211*T1^3*T2^9 + 186*T1^4*T2^9 + 2055*T1^5*T2^9 - 2420*T1^6*T2^9 + 
      954*T1^7*T2^9 + 954*T1^8*T2^9 - 2420*T1^9*T2^9 + 2055*T1^10*T2^9 + 
      186*T1^11*T2^9 - 211*T1^12*T2^9 + 177*T1^4*T2^10 - 460*T1^5*T2^10 - 
      719*T1^6*T2^10 + 2055*T1^7*T2^10 - 2543*T1^8*T2^10 + 2055*T1^9*T2^10 - 
      719*T1^10*T2^10 - 460*T1^11*T2^10 + 177*T1^12*T2^10 - 93*T1^5*T2^11 + 
      416*T1^6*T2^11 - 460*T1^7*T2^11 + 186*T1^8*T2^11 + 186*T1^9*T2^11 - 
      460*T1^10*T2^11 + 416*T1^11*T2^11 - 93*T1^12*T2^11 + 17*T1^6*T2^12 - 
      93*T1^7*T2^12 + 177*T1^8*T2^12 - 211*T1^9*T2^12 + 177*T1^10*T2^12 - 
      93*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, Alternating, 310] -> 
  {-((2 - 9*T + 13*T^2 - 13*T^3 + 13*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((17 - 77*T1 + 111*T1^2 - 111*T1^3 + 111*T1^4 - 77*T1^5 + 17*T1^6 - 
      77*T2 + 272*T1*T2 - 154*T1^2*T2 - 154*T1^5*T2 + 272*T1^6*T2 - 
      77*T1^7*T2 + 111*T2^2 - 154*T1*T2^2 - 730*T1^2*T2^2 + 1046*T1^3*T2^2 - 
      840*T1^4*T2^2 + 1046*T1^5*T2^2 - 730*T1^6*T2^2 - 154*T1^7*T2^2 + 
      111*T1^8*T2^2 - 111*T2^3 + 1046*T1^2*T2^3 - 488*T1^3*T2^3 - 
      150*T1^4*T2^3 - 150*T1^5*T2^3 - 488*T1^6*T2^3 + 1046*T1^7*T2^3 - 
      111*T1^9*T2^3 + 111*T2^4 - 840*T1^2*T2^4 - 150*T1^3*T2^4 + 
      329*T1^4*T2^4 + 243*T1^5*T2^4 + 329*T1^6*T2^4 - 150*T1^7*T2^4 - 
      840*T1^8*T2^4 + 111*T1^10*T2^4 - 77*T2^5 - 154*T1*T2^5 + 
      1046*T1^2*T2^5 - 150*T1^3*T2^5 + 243*T1^4*T2^5 - 392*T1^5*T2^5 - 
      392*T1^6*T2^5 + 243*T1^7*T2^5 - 150*T1^8*T2^5 + 1046*T1^9*T2^5 - 
      154*T1^10*T2^5 - 77*T1^11*T2^5 + 17*T2^6 + 272*T1*T2^6 - 
      730*T1^2*T2^6 - 488*T1^3*T2^6 + 329*T1^4*T2^6 - 392*T1^5*T2^6 + 
      888*T1^6*T2^6 - 392*T1^7*T2^6 + 329*T1^8*T2^6 - 488*T1^9*T2^6 - 
      730*T1^10*T2^6 + 272*T1^11*T2^6 + 17*T1^12*T2^6 - 77*T1*T2^7 - 
      154*T1^2*T2^7 + 1046*T1^3*T2^7 - 150*T1^4*T2^7 + 243*T1^5*T2^7 - 
      392*T1^6*T2^7 - 392*T1^7*T2^7 + 243*T1^8*T2^7 - 150*T1^9*T2^7 + 
      1046*T1^10*T2^7 - 154*T1^11*T2^7 - 77*T1^12*T2^7 + 111*T1^2*T2^8 - 
      840*T1^4*T2^8 - 150*T1^5*T2^8 + 329*T1^6*T2^8 + 243*T1^7*T2^8 + 
      329*T1^8*T2^8 - 150*T1^9*T2^8 - 840*T1^10*T2^8 + 111*T1^12*T2^8 - 
      111*T1^3*T2^9 + 1046*T1^5*T2^9 - 488*T1^6*T2^9 - 150*T1^7*T2^9 - 
      150*T1^8*T2^9 - 488*T1^9*T2^9 + 1046*T1^10*T2^9 - 111*T1^12*T2^9 + 
      111*T1^4*T2^10 - 154*T1^5*T2^10 - 730*T1^6*T2^10 + 1046*T1^7*T2^10 - 
      840*T1^8*T2^10 + 1046*T1^9*T2^10 - 730*T1^10*T2^10 - 154*T1^11*T2^10 + 
      111*T1^12*T2^10 - 77*T1^5*T2^11 + 272*T1^6*T2^11 - 154*T1^7*T2^11 - 
      154*T1^10*T2^11 + 272*T1^11*T2^11 - 77*T1^12*T2^11 + 17*T1^6*T2^12 - 
      77*T1^7*T2^12 + 111*T1^8*T2^12 - 111*T1^9*T2^12 + 111*T1^10*T2^12 - 
      77*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, Alternating, 311] -> {-((4 - 20*T + 31*T^2 - 20*T^3 + 4*T^4)/T^2), 
   (-2*(40 - 200*T1 + 308*T1^2 - 200*T1^3 + 40*T1^4 - 200*T2 + 802*T1*T2 - 
      542*T1^2*T2 - 542*T1^3*T2 + 802*T1^4*T2 - 200*T1^5*T2 + 308*T2^2 - 
      542*T1*T2^2 - 2250*T1^2*T2^2 + 4497*T1^3*T2^2 - 2250*T1^4*T2^2 - 
      542*T1^5*T2^2 + 308*T1^6*T2^2 - 200*T2^3 - 542*T1*T2^3 + 
      4497*T1^2*T2^3 - 3262*T1^3*T2^3 - 3262*T1^4*T2^3 + 4497*T1^5*T2^3 - 
      542*T1^6*T2^3 - 200*T1^7*T2^3 + 40*T2^4 + 802*T1*T2^4 - 
      2250*T1^2*T2^4 - 3262*T1^3*T2^4 + 8094*T1^4*T2^4 - 3262*T1^5*T2^4 - 
      2250*T1^6*T2^4 + 802*T1^7*T2^4 + 40*T1^8*T2^4 - 200*T1*T2^5 - 
      542*T1^2*T2^5 + 4497*T1^3*T2^5 - 3262*T1^4*T2^5 - 3262*T1^5*T2^5 + 
      4497*T1^6*T2^5 - 542*T1^7*T2^5 - 200*T1^8*T2^5 + 308*T1^2*T2^6 - 
      542*T1^3*T2^6 - 2250*T1^4*T2^6 + 4497*T1^5*T2^6 - 2250*T1^6*T2^6 - 
      542*T1^7*T2^6 + 308*T1^8*T2^6 - 200*T1^3*T2^7 + 802*T1^4*T2^7 - 
      542*T1^5*T2^7 - 542*T1^6*T2^7 + 802*T1^7*T2^7 - 200*T1^8*T2^7 + 
      40*T1^4*T2^8 - 200*T1^5*T2^8 + 308*T1^6*T2^8 - 200*T1^7*T2^8 + 
      40*T1^8*T2^8))/(T1^4*T2^4)}, Knot[11, Alternating, 312] -> 
  {(3 - 13*T + 27*T^2 - 33*T^3 + 27*T^4 - 13*T^5 + 3*T^6)/T^3, 
   -((30 - 131*T1 + 273*T1^2 - 332*T1^3 + 273*T1^4 - 131*T1^5 + 30*T1^6 - 
      131*T2 + 442*T1*T2 - 622*T1^2*T2 + 259*T1^3*T2 + 259*T1^4*T2 - 
      622*T1^5*T2 + 442*T1^6*T2 - 131*T1^7*T2 + 273*T2^2 - 622*T1*T2^2 + 
      248*T1^2*T2^2 + 1083*T1^3*T2^2 - 1522*T1^4*T2^2 + 1083*T1^5*T2^2 + 
      248*T1^6*T2^2 - 622*T1^7*T2^2 + 273*T1^8*T2^2 - 332*T2^3 + 
      259*T1*T2^3 + 1083*T1^2*T2^3 - 2634*T1^3*T2^3 + 1040*T1^4*T2^3 + 
      1040*T1^5*T2^3 - 2634*T1^6*T2^3 + 1083*T1^7*T2^3 + 259*T1^8*T2^3 - 
      332*T1^9*T2^3 + 273*T2^4 + 259*T1*T2^4 - 1522*T1^2*T2^4 + 
      1040*T1^3*T2^4 + 3476*T1^4*T2^4 - 4896*T1^5*T2^4 + 3476*T1^6*T2^4 + 
      1040*T1^7*T2^4 - 1522*T1^8*T2^4 + 259*T1^9*T2^4 + 273*T1^10*T2^4 - 
      131*T2^5 - 622*T1*T2^5 + 1083*T1^2*T2^5 + 1040*T1^3*T2^5 - 
      4896*T1^4*T2^5 + 2020*T1^5*T2^5 + 2020*T1^6*T2^5 - 4896*T1^7*T2^5 + 
      1040*T1^8*T2^5 + 1083*T1^9*T2^5 - 622*T1^10*T2^5 - 131*T1^11*T2^5 + 
      30*T2^6 + 442*T1*T2^6 + 248*T1^2*T2^6 - 2634*T1^3*T2^6 + 
      3476*T1^4*T2^6 + 2020*T1^5*T2^6 - 3816*T1^6*T2^6 + 2020*T1^7*T2^6 + 
      3476*T1^8*T2^6 - 2634*T1^9*T2^6 + 248*T1^10*T2^6 + 442*T1^11*T2^6 + 
      30*T1^12*T2^6 - 131*T1*T2^7 - 622*T1^2*T2^7 + 1083*T1^3*T2^7 + 
      1040*T1^4*T2^7 - 4896*T1^5*T2^7 + 2020*T1^6*T2^7 + 2020*T1^7*T2^7 - 
      4896*T1^8*T2^7 + 1040*T1^9*T2^7 + 1083*T1^10*T2^7 - 622*T1^11*T2^7 - 
      131*T1^12*T2^7 + 273*T1^2*T2^8 + 259*T1^3*T2^8 - 1522*T1^4*T2^8 + 
      1040*T1^5*T2^8 + 3476*T1^6*T2^8 - 4896*T1^7*T2^8 + 3476*T1^8*T2^8 + 
      1040*T1^9*T2^8 - 1522*T1^10*T2^8 + 259*T1^11*T2^8 + 273*T1^12*T2^8 - 
      332*T1^3*T2^9 + 259*T1^4*T2^9 + 1083*T1^5*T2^9 - 2634*T1^6*T2^9 + 
      1040*T1^7*T2^9 + 1040*T1^8*T2^9 - 2634*T1^9*T2^9 + 1083*T1^10*T2^9 + 
      259*T1^11*T2^9 - 332*T1^12*T2^9 + 273*T1^4*T2^10 - 622*T1^5*T2^10 + 
      248*T1^6*T2^10 + 1083*T1^7*T2^10 - 1522*T1^8*T2^10 + 1083*T1^9*T2^10 + 
      248*T1^10*T2^10 - 622*T1^11*T2^10 + 273*T1^12*T2^10 - 131*T1^5*T2^11 + 
      442*T1^6*T2^11 - 622*T1^7*T2^11 + 259*T1^8*T2^11 + 259*T1^9*T2^11 - 
      622*T1^10*T2^11 + 442*T1^11*T2^11 - 131*T1^12*T2^11 + 30*T1^6*T2^12 - 
      131*T1^7*T2^12 + 273*T1^8*T2^12 - 332*T1^9*T2^12 + 273*T1^10*T2^12 - 
      131*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, Alternating, 313] -> {(5 - 19*T + 29*T^2 - 19*T^3 + 5*T^4)/T^2, 
   -((40 - 167*T1 + 270*T1^2 - 167*T1^3 + 40*T1^4 - 167*T2 + 530*T1*T2 - 
      428*T1^2*T2 - 428*T1^3*T2 + 530*T1^4*T2 - 167*T1^5*T2 + 270*T2^2 - 
      428*T1*T2^2 - 734*T1^2*T2^2 + 2288*T1^3*T2^2 - 734*T1^4*T2^2 - 
      428*T1^5*T2^2 + 270*T1^6*T2^2 - 167*T2^3 - 428*T1*T2^3 + 
      2288*T1^2*T2^3 - 2244*T1^3*T2^3 - 2244*T1^4*T2^3 + 2288*T1^5*T2^3 - 
      428*T1^6*T2^3 - 167*T1^7*T2^3 + 40*T2^4 + 530*T1*T2^4 - 734*T1^2*T2^4 - 
      2244*T1^3*T2^4 + 6240*T1^4*T2^4 - 2244*T1^5*T2^4 - 734*T1^6*T2^4 + 
      530*T1^7*T2^4 + 40*T1^8*T2^4 - 167*T1*T2^5 - 428*T1^2*T2^5 + 
      2288*T1^3*T2^5 - 2244*T1^4*T2^5 - 2244*T1^5*T2^5 + 2288*T1^6*T2^5 - 
      428*T1^7*T2^5 - 167*T1^8*T2^5 + 270*T1^2*T2^6 - 428*T1^3*T2^6 - 
      734*T1^4*T2^6 + 2288*T1^5*T2^6 - 734*T1^6*T2^6 - 428*T1^7*T2^6 + 
      270*T1^8*T2^6 - 167*T1^3*T2^7 + 530*T1^4*T2^7 - 428*T1^5*T2^7 - 
      428*T1^6*T2^7 + 530*T1^7*T2^7 - 167*T1^8*T2^7 + 40*T1^4*T2^8 - 
      167*T1^5*T2^8 + 270*T1^6*T2^8 - 167*T1^7*T2^8 + 40*T1^8*T2^8)/
     (T1^4*T2^4))}, 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), -((1 - 7*T1 + 21*T1^2 - 36*T1^3 + 41*T1^4 - 36*T1^5 + 21*T1^6 - 
      7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 98*T1^2*T2 + 105*T1^3*T2 - 
      35*T1^4*T2 - 35*T1^5*T2 + 105*T1^6*T2 - 98*T1^7*T2 + 42*T1^8*T2 - 
      7*T1^9*T2 + 21*T2^2 - 98*T1*T2^2 + 117*T1^2*T2^2 + 137*T1^3*T2^2 - 
      487*T1^4*T2^2 + 529*T1^5*T2^2 - 487*T1^6*T2^2 + 137*T1^7*T2^2 + 
      117*T1^8*T2^2 - 98*T1^9*T2^2 + 21*T1^10*T2^2 - 36*T2^3 + 105*T1*T2^3 + 
      137*T1^2*T2^3 - 848*T1^3*T2^3 + 1061*T1^4*T2^3 - 239*T1^5*T2^3 - 
      239*T1^6*T2^3 + 1061*T1^7*T2^3 - 848*T1^8*T2^3 + 137*T1^9*T2^3 + 
      105*T1^10*T2^3 - 36*T1^11*T2^3 + 41*T2^4 - 35*T1*T2^4 - 487*T1^2*T2^4 + 
      1061*T1^3*T2^4 + 132*T1^4*T2^4 - 2241*T1^5*T2^4 + 2092*T1^6*T2^4 - 
      2241*T1^7*T2^4 + 132*T1^8*T2^4 + 1061*T1^9*T2^4 - 487*T1^10*T2^4 - 
      35*T1^11*T2^4 + 41*T1^12*T2^4 - 36*T2^5 - 35*T1*T2^5 + 529*T1^2*T2^5 - 
      239*T1^3*T2^5 - 2241*T1^4*T2^5 + 3462*T1^5*T2^5 - 497*T1^6*T2^5 - 
      497*T1^7*T2^5 + 3462*T1^8*T2^5 - 2241*T1^9*T2^5 - 239*T1^10*T2^5 + 
      529*T1^11*T2^5 - 35*T1^12*T2^5 - 36*T1^13*T2^5 + 21*T2^6 + 
      105*T1*T2^6 - 487*T1^2*T2^6 - 239*T1^3*T2^6 + 2092*T1^4*T2^6 - 
      497*T1^5*T2^6 - 4246*T1^6*T2^6 + 3648*T1^7*T2^6 - 4246*T1^8*T2^6 - 
      497*T1^9*T2^6 + 2092*T1^10*T2^6 - 239*T1^11*T2^6 - 487*T1^12*T2^6 + 
      105*T1^13*T2^6 + 21*T1^14*T2^6 - 7*T2^7 - 98*T1*T2^7 + 137*T1^2*T2^7 + 
      1061*T1^3*T2^7 - 2241*T1^4*T2^7 - 497*T1^5*T2^7 + 3648*T1^6*T2^7 - 
      226*T1^7*T2^7 - 226*T1^8*T2^7 + 3648*T1^9*T2^7 - 497*T1^10*T2^7 - 
      2241*T1^11*T2^7 + 1061*T1^12*T2^7 + 137*T1^13*T2^7 - 98*T1^14*T2^7 - 
      7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 117*T1^2*T2^8 - 848*T1^3*T2^8 + 
      132*T1^4*T2^8 + 3462*T1^5*T2^8 - 4246*T1^6*T2^8 - 226*T1^7*T2^8 - 
      672*T1^8*T2^8 - 226*T1^9*T2^8 - 4246*T1^10*T2^8 + 3462*T1^11*T2^8 + 
      132*T1^12*T2^8 - 848*T1^13*T2^8 + 117*T1^14*T2^8 + 42*T1^15*T2^8 + 
      T1^16*T2^8 - 7*T1*T2^9 - 98*T1^2*T2^9 + 137*T1^3*T2^9 + 
      1061*T1^4*T2^9 - 2241*T1^5*T2^9 - 497*T1^6*T2^9 + 3648*T1^7*T2^9 - 
      226*T1^8*T2^9 - 226*T1^9*T2^9 + 3648*T1^10*T2^9 - 497*T1^11*T2^9 - 
      2241*T1^12*T2^9 + 1061*T1^13*T2^9 + 137*T1^14*T2^9 - 98*T1^15*T2^9 - 
      7*T1^16*T2^9 + 21*T1^2*T2^10 + 105*T1^3*T2^10 - 487*T1^4*T2^10 - 
      239*T1^5*T2^10 + 2092*T1^6*T2^10 - 497*T1^7*T2^10 - 4246*T1^8*T2^10 + 
      3648*T1^9*T2^10 - 4246*T1^10*T2^10 - 497*T1^11*T2^10 + 
      2092*T1^12*T2^10 - 239*T1^13*T2^10 - 487*T1^14*T2^10 + 
      105*T1^15*T2^10 + 21*T1^16*T2^10 - 36*T1^3*T2^11 - 35*T1^4*T2^11 + 
      529*T1^5*T2^11 - 239*T1^6*T2^11 - 2241*T1^7*T2^11 + 3462*T1^8*T2^11 - 
      497*T1^9*T2^11 - 497*T1^10*T2^11 + 3462*T1^11*T2^11 - 
      2241*T1^12*T2^11 - 239*T1^13*T2^11 + 529*T1^14*T2^11 - 35*T1^15*T2^11 - 
      36*T1^16*T2^11 + 41*T1^4*T2^12 - 35*T1^5*T2^12 - 487*T1^6*T2^12 + 
      1061*T1^7*T2^12 + 132*T1^8*T2^12 - 2241*T1^9*T2^12 + 2092*T1^10*T2^12 - 
      2241*T1^11*T2^12 + 132*T1^12*T2^12 + 1061*T1^13*T2^12 - 
      487*T1^14*T2^12 - 35*T1^15*T2^12 + 41*T1^16*T2^12 - 36*T1^5*T2^13 + 
      105*T1^6*T2^13 + 137*T1^7*T2^13 - 848*T1^8*T2^13 + 1061*T1^9*T2^13 - 
      239*T1^10*T2^13 - 239*T1^11*T2^13 + 1061*T1^12*T2^13 - 
      848*T1^13*T2^13 + 137*T1^14*T2^13 + 105*T1^15*T2^13 - 36*T1^16*T2^13 + 
      21*T1^6*T2^14 - 98*T1^7*T2^14 + 117*T1^8*T2^14 + 137*T1^9*T2^14 - 
      487*T1^10*T2^14 + 529*T1^11*T2^14 - 487*T1^12*T2^14 + 137*T1^13*T2^14 + 
      117*T1^14*T2^14 - 98*T1^15*T2^14 + 21*T1^16*T2^14 - 7*T1^7*T2^15 + 
      42*T1^8*T2^15 - 98*T1^9*T2^15 + 105*T1^10*T2^15 - 35*T1^11*T2^15 - 
      35*T1^12*T2^15 + 105*T1^13*T2^15 - 98*T1^14*T2^15 + 42*T1^15*T2^15 - 
      7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 21*T1^10*T2^16 - 
      36*T1^11*T2^16 + 41*T1^12*T2^16 - 36*T1^13*T2^16 + 21*T1^14*T2^16 - 
      7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   (1 - 2*T1 + 2*T1^2 + T1^3 + 2*T1^4 - 2*T1^5 + T1^6 - 2*T2 - 2*T1*T2 + 
     10*T1^2*T2 - 18*T1^3*T2 - 18*T1^4*T2 + 10*T1^5*T2 - 2*T1^6*T2 - 
     2*T1^7*T2 + 2*T2^2 + 10*T1*T2^2 - 10*T1^2*T2^2 - 17*T1^3*T2^2 + 
     126*T1^4*T2^2 - 17*T1^5*T2^2 - 10*T1^6*T2^2 + 10*T1^7*T2^2 + 
     2*T1^8*T2^2 + T2^3 - 18*T1*T2^3 - 17*T1^2*T2^3 + 90*T1^3*T2^3 - 
     181*T1^4*T2^3 - 181*T1^5*T2^3 + 90*T1^6*T2^3 - 17*T1^7*T2^3 - 
     18*T1^8*T2^3 + T1^9*T2^3 + 2*T2^4 - 18*T1*T2^4 + 126*T1^2*T2^4 - 
     181*T1^3*T2^4 + 84*T1^4*T2^4 + 442*T1^5*T2^4 + 84*T1^6*T2^4 - 
     181*T1^7*T2^4 + 126*T1^8*T2^4 - 18*T1^9*T2^4 + 2*T1^10*T2^4 - 2*T2^5 + 
     10*T1*T2^5 - 17*T1^2*T2^5 - 181*T1^3*T2^5 + 442*T1^4*T2^5 - 
     586*T1^5*T2^5 - 586*T1^6*T2^5 + 442*T1^7*T2^5 - 181*T1^8*T2^5 - 
     17*T1^9*T2^5 + 10*T1^10*T2^5 - 2*T1^11*T2^5 + T2^6 - 2*T1*T2^6 - 
     10*T1^2*T2^6 + 90*T1^3*T2^6 + 84*T1^4*T2^6 - 586*T1^5*T2^6 + 
     1596*T1^6*T2^6 - 586*T1^7*T2^6 + 84*T1^8*T2^6 + 90*T1^9*T2^6 - 
     10*T1^10*T2^6 - 2*T1^11*T2^6 + T1^12*T2^6 - 2*T1*T2^7 + 10*T1^2*T2^7 - 
     17*T1^3*T2^7 - 181*T1^4*T2^7 + 442*T1^5*T2^7 - 586*T1^6*T2^7 - 
     586*T1^7*T2^7 + 442*T1^8*T2^7 - 181*T1^9*T2^7 - 17*T1^10*T2^7 + 
     10*T1^11*T2^7 - 2*T1^12*T2^7 + 2*T1^2*T2^8 - 18*T1^3*T2^8 + 
     126*T1^4*T2^8 - 181*T1^5*T2^8 + 84*T1^6*T2^8 + 442*T1^7*T2^8 + 
     84*T1^8*T2^8 - 181*T1^9*T2^8 + 126*T1^10*T2^8 - 18*T1^11*T2^8 + 
     2*T1^12*T2^8 + T1^3*T2^9 - 18*T1^4*T2^9 - 17*T1^5*T2^9 + 90*T1^6*T2^9 - 
     181*T1^7*T2^9 - 181*T1^8*T2^9 + 90*T1^9*T2^9 - 17*T1^10*T2^9 - 
     18*T1^11*T2^9 + T1^12*T2^9 + 2*T1^4*T2^10 + 10*T1^5*T2^10 - 
     10*T1^6*T2^10 - 17*T1^7*T2^10 + 126*T1^8*T2^10 - 17*T1^9*T2^10 - 
     10*T1^10*T2^10 + 10*T1^11*T2^10 + 2*T1^12*T2^10 - 2*T1^5*T2^11 - 
     2*T1^6*T2^11 + 10*T1^7*T2^11 - 18*T1^8*T2^11 - 18*T1^9*T2^11 + 
     10*T1^10*T2^11 - 2*T1^11*T2^11 - 2*T1^12*T2^11 + T1^6*T2^12 - 
     2*T1^7*T2^12 + 2*T1^8*T2^12 + T1^9*T2^12 + 2*T1^10*T2^12 - 
     2*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 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, 
   (2 - 3*T1 + 3*T1^2 + 3*T1^4 - 3*T1^5 + 2*T1^6 - 3*T2 - 8*T1*T2 + 
     17*T1^2*T2 - 19*T1^3*T2 - 19*T1^4*T2 + 17*T1^5*T2 - 8*T1^6*T2 - 
     3*T1^7*T2 + 3*T2^2 + 17*T1*T2^2 + 7*T1^2*T2^2 - 62*T1^3*T2^2 + 
     159*T1^4*T2^2 - 62*T1^5*T2^2 + 7*T1^6*T2^2 + 17*T1^7*T2^2 + 
     3*T1^8*T2^2 - 19*T1*T2^3 - 62*T1^2*T2^3 + 134*T1^3*T2^3 - 
     157*T1^4*T2^3 - 157*T1^5*T2^3 + 134*T1^6*T2^3 - 62*T1^7*T2^3 - 
     19*T1^8*T2^3 + 3*T2^4 - 19*T1*T2^4 + 159*T1^2*T2^4 - 157*T1^3*T2^4 + 
     13*T1^4*T2^4 + 363*T1^5*T2^4 + 13*T1^6*T2^4 - 157*T1^7*T2^4 + 
     159*T1^8*T2^4 - 19*T1^9*T2^4 + 3*T1^10*T2^4 - 3*T2^5 + 17*T1*T2^5 - 
     62*T1^2*T2^5 - 157*T1^3*T2^5 + 363*T1^4*T2^5 - 404*T1^5*T2^5 - 
     404*T1^6*T2^5 + 363*T1^7*T2^5 - 157*T1^8*T2^5 - 62*T1^9*T2^5 + 
     17*T1^10*T2^5 - 3*T1^11*T2^5 + 2*T2^6 - 8*T1*T2^6 + 7*T1^2*T2^6 + 
     134*T1^3*T2^6 + 13*T1^4*T2^6 - 404*T1^5*T2^6 + 1056*T1^6*T2^6 - 
     404*T1^7*T2^6 + 13*T1^8*T2^6 + 134*T1^9*T2^6 + 7*T1^10*T2^6 - 
     8*T1^11*T2^6 + 2*T1^12*T2^6 - 3*T1*T2^7 + 17*T1^2*T2^7 - 62*T1^3*T2^7 - 
     157*T1^4*T2^7 + 363*T1^5*T2^7 - 404*T1^6*T2^7 - 404*T1^7*T2^7 + 
     363*T1^8*T2^7 - 157*T1^9*T2^7 - 62*T1^10*T2^7 + 17*T1^11*T2^7 - 
     3*T1^12*T2^7 + 3*T1^2*T2^8 - 19*T1^3*T2^8 + 159*T1^4*T2^8 - 
     157*T1^5*T2^8 + 13*T1^6*T2^8 + 363*T1^7*T2^8 + 13*T1^8*T2^8 - 
     157*T1^9*T2^8 + 159*T1^10*T2^8 - 19*T1^11*T2^8 + 3*T1^12*T2^8 - 
     19*T1^4*T2^9 - 62*T1^5*T2^9 + 134*T1^6*T2^9 - 157*T1^7*T2^9 - 
     157*T1^8*T2^9 + 134*T1^9*T2^9 - 62*T1^10*T2^9 - 19*T1^11*T2^9 + 
     3*T1^4*T2^10 + 17*T1^5*T2^10 + 7*T1^6*T2^10 - 62*T1^7*T2^10 + 
     159*T1^8*T2^10 - 62*T1^9*T2^10 + 7*T1^10*T2^10 + 17*T1^11*T2^10 + 
     3*T1^12*T2^10 - 3*T1^5*T2^11 - 8*T1^6*T2^11 + 17*T1^7*T2^11 - 
     19*T1^8*T2^11 - 19*T1^9*T2^11 + 17*T1^10*T2^11 - 8*T1^11*T2^11 - 
     3*T1^12*T2^11 + 2*T1^6*T2^12 - 3*T1^7*T2^12 + 3*T1^8*T2^12 + 
     3*T1^10*T2^12 - 3*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, Alternating, 317] -> 
  {-((3 - 14*T + 28*T^2 - 35*T^3 + 28*T^4 - 14*T^5 + 3*T^6)/T^3), 
   (3 - 13*T1 + 25*T1^2 - 33*T1^3 + 25*T1^4 - 13*T1^5 + 3*T1^6 - 13*T2 + 
     44*T1*T2 - 52*T1^2*T2 + 33*T1^3*T2 + 33*T1^4*T2 - 52*T1^5*T2 + 
     44*T1^6*T2 - 13*T1^7*T2 + 25*T2^2 - 52*T1*T2^2 - 7*T1^2*T2^2 + 
     20*T1^3*T2^2 - 75*T1^4*T2^2 + 20*T1^5*T2^2 - 7*T1^6*T2^2 - 
     52*T1^7*T2^2 + 25*T1^8*T2^2 - 33*T2^3 + 33*T1*T2^3 + 20*T1^2*T2^3 + 
     258*T1^3*T2^3 - 111*T1^4*T2^3 - 111*T1^5*T2^3 + 258*T1^6*T2^3 + 
     20*T1^7*T2^3 + 33*T1^8*T2^3 - 33*T1^9*T2^3 + 25*T2^4 + 33*T1*T2^4 - 
     75*T1^2*T2^4 - 111*T1^3*T2^4 - 1268*T1^4*T2^4 + 1980*T1^5*T2^4 - 
     1268*T1^6*T2^4 - 111*T1^7*T2^4 - 75*T1^8*T2^4 + 33*T1^9*T2^4 + 
     25*T1^10*T2^4 - 13*T2^5 - 52*T1*T2^5 + 20*T1^2*T2^5 - 111*T1^3*T2^5 + 
     1980*T1^4*T2^5 - 1128*T1^5*T2^5 - 1128*T1^6*T2^5 + 1980*T1^7*T2^5 - 
     111*T1^8*T2^5 + 20*T1^9*T2^5 - 52*T1^10*T2^5 - 13*T1^11*T2^5 + 3*T2^6 + 
     44*T1*T2^6 - 7*T1^2*T2^6 + 258*T1^3*T2^6 - 1268*T1^4*T2^6 - 
     1128*T1^5*T2^6 + 2532*T1^6*T2^6 - 1128*T1^7*T2^6 - 1268*T1^8*T2^6 + 
     258*T1^9*T2^6 - 7*T1^10*T2^6 + 44*T1^11*T2^6 + 3*T1^12*T2^6 - 
     13*T1*T2^7 - 52*T1^2*T2^7 + 20*T1^3*T2^7 - 111*T1^4*T2^7 + 
     1980*T1^5*T2^7 - 1128*T1^6*T2^7 - 1128*T1^7*T2^7 + 1980*T1^8*T2^7 - 
     111*T1^9*T2^7 + 20*T1^10*T2^7 - 52*T1^11*T2^7 - 13*T1^12*T2^7 + 
     25*T1^2*T2^8 + 33*T1^3*T2^8 - 75*T1^4*T2^8 - 111*T1^5*T2^8 - 
     1268*T1^6*T2^8 + 1980*T1^7*T2^8 - 1268*T1^8*T2^8 - 111*T1^9*T2^8 - 
     75*T1^10*T2^8 + 33*T1^11*T2^8 + 25*T1^12*T2^8 - 33*T1^3*T2^9 + 
     33*T1^4*T2^9 + 20*T1^5*T2^9 + 258*T1^6*T2^9 - 111*T1^7*T2^9 - 
     111*T1^8*T2^9 + 258*T1^9*T2^9 + 20*T1^10*T2^9 + 33*T1^11*T2^9 - 
     33*T1^12*T2^9 + 25*T1^4*T2^10 - 52*T1^5*T2^10 - 7*T1^6*T2^10 + 
     20*T1^7*T2^10 - 75*T1^8*T2^10 + 20*T1^9*T2^10 - 7*T1^10*T2^10 - 
     52*T1^11*T2^10 + 25*T1^12*T2^10 - 13*T1^5*T2^11 + 44*T1^6*T2^11 - 
     52*T1^7*T2^11 + 33*T1^8*T2^11 + 33*T1^9*T2^11 - 52*T1^10*T2^11 + 
     44*T1^11*T2^11 - 13*T1^12*T2^11 + 3*T1^6*T2^12 - 13*T1^7*T2^12 + 
     25*T1^8*T2^12 - 33*T1^9*T2^12 + 25*T1^10*T2^12 - 13*T1^11*T2^12 + 
     3*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, Alternating, 318] -> 
  {((1 - T + T^2)*(5 - 11*T + 13*T^2 - 11*T^3 + 5*T^4))/T^3, 
   (395 - 1225*T1 + 2193*T1^2 - 2639*T1^3 + 2193*T1^4 - 1225*T1^5 + 
     395*T1^6 - 1225*T2 + 2602*T1*T2 - 3049*T1^2*T2 + 1408*T1^3*T2 + 
     1408*T1^4*T2 - 3049*T1^5*T2 + 2602*T1^6*T2 - 1225*T1^7*T2 + 2193*T2^2 - 
     3049*T1*T2^2 + 2343*T1^2*T2^2 + 382*T1^3*T2^2 - 2039*T1^4*T2^2 + 
     382*T1^5*T2^2 + 2343*T1^6*T2^2 - 3049*T1^7*T2^2 + 2193*T1^8*T2^2 - 
     2639*T2^3 + 1408*T1*T2^3 + 382*T1^2*T2^3 - 2858*T1^3*T2^3 + 
     1822*T1^4*T2^3 + 1822*T1^5*T2^3 - 2858*T1^6*T2^3 + 382*T1^7*T2^3 + 
     1408*T1^8*T2^3 - 2639*T1^9*T2^3 + 2193*T2^4 + 1408*T1*T2^4 - 
     2039*T1^2*T2^4 + 1822*T1^3*T2^4 + 2558*T1^4*T2^4 - 5522*T1^5*T2^4 + 
     2558*T1^6*T2^4 + 1822*T1^7*T2^4 - 2039*T1^8*T2^4 + 1408*T1^9*T2^4 + 
     2193*T1^10*T2^4 - 1225*T2^5 - 3049*T1*T2^5 + 382*T1^2*T2^5 + 
     1822*T1^3*T2^5 - 5522*T1^4*T2^5 + 3306*T1^5*T2^5 + 3306*T1^6*T2^5 - 
     5522*T1^7*T2^5 + 1822*T1^8*T2^5 + 382*T1^9*T2^5 - 3049*T1^10*T2^5 - 
     1225*T1^11*T2^5 + 395*T2^6 + 2602*T1*T2^6 + 2343*T1^2*T2^6 - 
     2858*T1^3*T2^6 + 2558*T1^4*T2^6 + 3306*T1^5*T2^6 - 7248*T1^6*T2^6 + 
     3306*T1^7*T2^6 + 2558*T1^8*T2^6 - 2858*T1^9*T2^6 + 2343*T1^10*T2^6 + 
     2602*T1^11*T2^6 + 395*T1^12*T2^6 - 1225*T1*T2^7 - 3049*T1^2*T2^7 + 
     382*T1^3*T2^7 + 1822*T1^4*T2^7 - 5522*T1^5*T2^7 + 3306*T1^6*T2^7 + 
     3306*T1^7*T2^7 - 5522*T1^8*T2^7 + 1822*T1^9*T2^7 + 382*T1^10*T2^7 - 
     3049*T1^11*T2^7 - 1225*T1^12*T2^7 + 2193*T1^2*T2^8 + 1408*T1^3*T2^8 - 
     2039*T1^4*T2^8 + 1822*T1^5*T2^8 + 2558*T1^6*T2^8 - 5522*T1^7*T2^8 + 
     2558*T1^8*T2^8 + 1822*T1^9*T2^8 - 2039*T1^10*T2^8 + 1408*T1^11*T2^8 + 
     2193*T1^12*T2^8 - 2639*T1^3*T2^9 + 1408*T1^4*T2^9 + 382*T1^5*T2^9 - 
     2858*T1^6*T2^9 + 1822*T1^7*T2^9 + 1822*T1^8*T2^9 - 2858*T1^9*T2^9 + 
     382*T1^10*T2^9 + 1408*T1^11*T2^9 - 2639*T1^12*T2^9 + 2193*T1^4*T2^10 - 
     3049*T1^5*T2^10 + 2343*T1^6*T2^10 + 382*T1^7*T2^10 - 2039*T1^8*T2^10 + 
     382*T1^9*T2^10 + 2343*T1^10*T2^10 - 3049*T1^11*T2^10 + 
     2193*T1^12*T2^10 - 1225*T1^5*T2^11 + 2602*T1^6*T2^11 - 3049*T1^7*T2^11 + 
     1408*T1^8*T2^11 + 1408*T1^9*T2^11 - 3049*T1^10*T2^11 + 
     2602*T1^11*T2^11 - 1225*T1^12*T2^11 + 395*T1^6*T2^12 - 1225*T1^7*T2^12 + 
     2193*T1^8*T2^12 - 2639*T1^9*T2^12 + 2193*T1^10*T2^12 - 
     1225*T1^11*T2^12 + 395*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, Alternating, 319] -> 
  {(5 - 15*T + 25*T^2 - 29*T^3 + 25*T^4 - 15*T^5 + 5*T^6)/T^3, 
   (395 - 1155*T1 + 1902*T1^2 - 2197*T1^3 + 1902*T1^4 - 1155*T1^5 + 
     395*T1^6 - 1155*T2 + 2246*T1*T2 - 2223*T1^2*T2 + 883*T1^3*T2 + 
     883*T1^4*T2 - 2223*T1^5*T2 + 2246*T1^6*T2 - 1155*T1^7*T2 + 1902*T2^2 - 
     2223*T1*T2^2 + 979*T1^2*T2^2 + 743*T1^3*T2^2 - 1311*T1^4*T2^2 + 
     743*T1^5*T2^2 + 979*T1^6*T2^2 - 2223*T1^7*T2^2 + 1902*T1^8*T2^2 - 
     2197*T2^3 + 883*T1*T2^3 + 743*T1^2*T2^3 - 1494*T1^3*T2^3 + 
     521*T1^4*T2^3 + 521*T1^5*T2^3 - 1494*T1^6*T2^3 + 743*T1^7*T2^3 + 
     883*T1^8*T2^3 - 2197*T1^9*T2^3 + 1902*T2^4 + 883*T1*T2^4 - 
     1311*T1^2*T2^4 + 521*T1^3*T2^4 + 1211*T1^4*T2^4 - 1481*T1^5*T2^4 + 
     1211*T1^6*T2^4 + 521*T1^7*T2^4 - 1311*T1^8*T2^4 + 883*T1^9*T2^4 + 
     1902*T1^10*T2^4 - 1155*T2^5 - 2223*T1*T2^5 + 743*T1^2*T2^5 + 
     521*T1^3*T2^5 - 1481*T1^4*T2^5 + 390*T1^5*T2^5 + 390*T1^6*T2^5 - 
     1481*T1^7*T2^5 + 521*T1^8*T2^5 + 743*T1^9*T2^5 - 2223*T1^10*T2^5 - 
     1155*T1^11*T2^5 + 395*T2^6 + 2246*T1*T2^6 + 979*T1^2*T2^6 - 
     1494*T1^3*T2^6 + 1211*T1^4*T2^6 + 390*T1^5*T2^6 - 480*T1^6*T2^6 + 
     390*T1^7*T2^6 + 1211*T1^8*T2^6 - 1494*T1^9*T2^6 + 979*T1^10*T2^6 + 
     2246*T1^11*T2^6 + 395*T1^12*T2^6 - 1155*T1*T2^7 - 2223*T1^2*T2^7 + 
     743*T1^3*T2^7 + 521*T1^4*T2^7 - 1481*T1^5*T2^7 + 390*T1^6*T2^7 + 
     390*T1^7*T2^7 - 1481*T1^8*T2^7 + 521*T1^9*T2^7 + 743*T1^10*T2^7 - 
     2223*T1^11*T2^7 - 1155*T1^12*T2^7 + 1902*T1^2*T2^8 + 883*T1^3*T2^8 - 
     1311*T1^4*T2^8 + 521*T1^5*T2^8 + 1211*T1^6*T2^8 - 1481*T1^7*T2^8 + 
     1211*T1^8*T2^8 + 521*T1^9*T2^8 - 1311*T1^10*T2^8 + 883*T1^11*T2^8 + 
     1902*T1^12*T2^8 - 2197*T1^3*T2^9 + 883*T1^4*T2^9 + 743*T1^5*T2^9 - 
     1494*T1^6*T2^9 + 521*T1^7*T2^9 + 521*T1^8*T2^9 - 1494*T1^9*T2^9 + 
     743*T1^10*T2^9 + 883*T1^11*T2^9 - 2197*T1^12*T2^9 + 1902*T1^4*T2^10 - 
     2223*T1^5*T2^10 + 979*T1^6*T2^10 + 743*T1^7*T2^10 - 1311*T1^8*T2^10 + 
     743*T1^9*T2^10 + 979*T1^10*T2^10 - 2223*T1^11*T2^10 + 1902*T1^12*T2^10 - 
     1155*T1^5*T2^11 + 2246*T1^6*T2^11 - 2223*T1^7*T2^11 + 883*T1^8*T2^11 + 
     883*T1^9*T2^11 - 2223*T1^10*T2^11 + 2246*T1^11*T2^11 - 
     1155*T1^12*T2^11 + 395*T1^6*T2^12 - 1155*T1^7*T2^12 + 1902*T1^8*T2^12 - 
     2197*T1^9*T2^12 + 1902*T1^10*T2^12 - 1155*T1^11*T2^12 + 395*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 320] -> 
  {(9 - 27*T + 37*T^2 - 27*T^3 + 9*T^4)/T^2, 
   (1728 - 5058*T1 + 6886*T1^2 - 5058*T1^3 + 1728*T1^4 - 5058*T2 + 
     9816*T1*T2 - 5405*T1^2*T2 - 5405*T1^3*T2 + 9816*T1^4*T2 - 5058*T1^5*T2 + 
     6886*T2^2 - 5405*T1*T2^2 - 9696*T1^2*T2^2 + 19980*T1^3*T2^2 - 
     9696*T1^4*T2^2 - 5405*T1^5*T2^2 + 6886*T1^6*T2^2 - 5058*T2^3 - 
     5405*T1*T2^3 + 19980*T1^2*T2^3 - 12576*T1^3*T2^3 - 12576*T1^4*T2^3 + 
     19980*T1^5*T2^3 - 5405*T1^6*T2^3 - 5058*T1^7*T2^3 + 1728*T2^4 + 
     9816*T1*T2^4 - 9696*T1^2*T2^4 - 12576*T1^3*T2^4 + 28728*T1^4*T2^4 - 
     12576*T1^5*T2^4 - 9696*T1^6*T2^4 + 9816*T1^7*T2^4 + 1728*T1^8*T2^4 - 
     5058*T1*T2^5 - 5405*T1^2*T2^5 + 19980*T1^3*T2^5 - 12576*T1^4*T2^5 - 
     12576*T1^5*T2^5 + 19980*T1^6*T2^5 - 5405*T1^7*T2^5 - 5058*T1^8*T2^5 + 
     6886*T1^2*T2^6 - 5405*T1^3*T2^6 - 9696*T1^4*T2^6 + 19980*T1^5*T2^6 - 
     9696*T1^6*T2^6 - 5405*T1^7*T2^6 + 6886*T1^8*T2^6 - 5058*T1^3*T2^7 + 
     9816*T1^4*T2^7 - 5405*T1^5*T2^7 - 5405*T1^6*T2^7 + 9816*T1^7*T2^7 - 
     5058*T1^8*T2^7 + 1728*T1^4*T2^8 - 5058*T1^5*T2^8 + 6886*T1^6*T2^8 - 
     5058*T1^7*T2^8 + 1728*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[11, Alternating, 321] -> 
  {-((3 - 15*T + 27*T^2 - 31*T^3 + 27*T^4 - 15*T^5 + 3*T^6)/T^3), 
   (57 - 282*T1 + 496*T1^2 - 563*T1^3 + 496*T1^4 - 282*T1^5 + 57*T1^6 - 
     282*T2 + 1120*T1*T2 - 1083*T1^2*T2 + 347*T1^3*T2 + 347*T1^4*T2 - 
     1083*T1^5*T2 + 1120*T1^6*T2 - 282*T1^7*T2 + 496*T2^2 - 1083*T1*T2^2 - 
     2010*T1^2*T2^2 + 4851*T1^3*T2^2 - 5342*T1^4*T2^2 + 4851*T1^5*T2^2 - 
     2010*T1^6*T2^2 - 1083*T1^7*T2^2 + 496*T1^8*T2^2 - 563*T2^3 + 
     347*T1*T2^3 + 4851*T1^2*T2^3 - 4848*T1^3*T2^3 + 1219*T1^4*T2^3 + 
     1219*T1^5*T2^3 - 4848*T1^6*T2^3 + 4851*T1^7*T2^3 + 347*T1^8*T2^3 - 
     563*T1^9*T2^3 + 496*T2^4 + 347*T1*T2^4 - 5342*T1^2*T2^4 + 
     1219*T1^3*T2^4 + 2601*T1^4*T2^4 - 2067*T1^5*T2^4 + 2601*T1^6*T2^4 + 
     1219*T1^7*T2^4 - 5342*T1^8*T2^4 + 347*T1^9*T2^4 + 496*T1^10*T2^4 - 
     282*T2^5 - 1083*T1*T2^5 + 4851*T1^2*T2^5 + 1219*T1^3*T2^5 - 
     2067*T1^4*T2^5 - 358*T1^5*T2^5 - 358*T1^6*T2^5 - 2067*T1^7*T2^5 + 
     1219*T1^8*T2^5 + 4851*T1^9*T2^5 - 1083*T1^10*T2^5 - 282*T1^11*T2^5 + 
     57*T2^6 + 1120*T1*T2^6 - 2010*T1^2*T2^6 - 4848*T1^3*T2^6 + 
     2601*T1^4*T2^6 - 358*T1^5*T2^6 + 1884*T1^6*T2^6 - 358*T1^7*T2^6 + 
     2601*T1^8*T2^6 - 4848*T1^9*T2^6 - 2010*T1^10*T2^6 + 1120*T1^11*T2^6 + 
     57*T1^12*T2^6 - 282*T1*T2^7 - 1083*T1^2*T2^7 + 4851*T1^3*T2^7 + 
     1219*T1^4*T2^7 - 2067*T1^5*T2^7 - 358*T1^6*T2^7 - 358*T1^7*T2^7 - 
     2067*T1^8*T2^7 + 1219*T1^9*T2^7 + 4851*T1^10*T2^7 - 1083*T1^11*T2^7 - 
     282*T1^12*T2^7 + 496*T1^2*T2^8 + 347*T1^3*T2^8 - 5342*T1^4*T2^8 + 
     1219*T1^5*T2^8 + 2601*T1^6*T2^8 - 2067*T1^7*T2^8 + 2601*T1^8*T2^8 + 
     1219*T1^9*T2^8 - 5342*T1^10*T2^8 + 347*T1^11*T2^8 + 496*T1^12*T2^8 - 
     563*T1^3*T2^9 + 347*T1^4*T2^9 + 4851*T1^5*T2^9 - 4848*T1^6*T2^9 + 
     1219*T1^7*T2^9 + 1219*T1^8*T2^9 - 4848*T1^9*T2^9 + 4851*T1^10*T2^9 + 
     347*T1^11*T2^9 - 563*T1^12*T2^9 + 496*T1^4*T2^10 - 1083*T1^5*T2^10 - 
     2010*T1^6*T2^10 + 4851*T1^7*T2^10 - 5342*T1^8*T2^10 + 4851*T1^9*T2^10 - 
     2010*T1^10*T2^10 - 1083*T1^11*T2^10 + 496*T1^12*T2^10 - 282*T1^5*T2^11 + 
     1120*T1^6*T2^11 - 1083*T1^7*T2^11 + 347*T1^8*T2^11 + 347*T1^9*T2^11 - 
     1083*T1^10*T2^11 + 1120*T1^11*T2^11 - 282*T1^12*T2^11 + 57*T1^6*T2^12 - 
     282*T1^7*T2^12 + 496*T1^8*T2^12 - 563*T1^9*T2^12 + 496*T1^10*T2^12 - 
     282*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, Alternating, 322] -> 
  {(2 - 13*T + 36*T^2 - 49*T^3 + 36*T^4 - 13*T^5 + 2*T^6)/T^3, 
   -((9 - 57*T1 + 156*T1^2 - 211*T1^3 + 156*T1^4 - 57*T1^5 + 9*T1^6 - 57*T2 + 
      304*T1*T2 - 627*T1^2*T2 + 349*T1^3*T2 + 349*T1^4*T2 - 627*T1^5*T2 + 
      304*T1^6*T2 - 57*T1^7*T2 + 156*T2^2 - 627*T1*T2^2 + 587*T1^2*T2^2 + 
      1524*T1^3*T2^2 - 2939*T1^4*T2^2 + 1524*T1^5*T2^2 + 587*T1^6*T2^2 - 
      627*T1^7*T2^2 + 156*T1^8*T2^2 - 211*T2^3 + 349*T1*T2^3 + 
      1524*T1^2*T2^3 - 5722*T1^3*T2^3 + 3507*T1^4*T2^3 + 3507*T1^5*T2^3 - 
      5722*T1^6*T2^3 + 1524*T1^7*T2^3 + 349*T1^8*T2^3 - 211*T1^9*T2^3 + 
      156*T2^4 + 349*T1*T2^4 - 2939*T1^2*T2^4 + 3507*T1^3*T2^4 + 
      8435*T1^4*T2^4 - 16631*T1^5*T2^4 + 8435*T1^6*T2^4 + 3507*T1^7*T2^4 - 
      2939*T1^8*T2^4 + 349*T1^9*T2^4 + 156*T1^10*T2^4 - 57*T2^5 - 
      627*T1*T2^5 + 1524*T1^2*T2^5 + 3507*T1^3*T2^5 - 16631*T1^4*T2^5 + 
      10452*T1^5*T2^5 + 10452*T1^6*T2^5 - 16631*T1^7*T2^5 + 3507*T1^8*T2^5 + 
      1524*T1^9*T2^5 - 627*T1^10*T2^5 - 57*T1^11*T2^5 + 9*T2^6 + 
      304*T1*T2^6 + 587*T1^2*T2^6 - 5722*T1^3*T2^6 + 8435*T1^4*T2^6 + 
      10452*T1^5*T2^6 - 23928*T1^6*T2^6 + 10452*T1^7*T2^6 + 8435*T1^8*T2^6 - 
      5722*T1^9*T2^6 + 587*T1^10*T2^6 + 304*T1^11*T2^6 + 9*T1^12*T2^6 - 
      57*T1*T2^7 - 627*T1^2*T2^7 + 1524*T1^3*T2^7 + 3507*T1^4*T2^7 - 
      16631*T1^5*T2^7 + 10452*T1^6*T2^7 + 10452*T1^7*T2^7 - 16631*T1^8*T2^7 + 
      3507*T1^9*T2^7 + 1524*T1^10*T2^7 - 627*T1^11*T2^7 - 57*T1^12*T2^7 + 
      156*T1^2*T2^8 + 349*T1^3*T2^8 - 2939*T1^4*T2^8 + 3507*T1^5*T2^8 + 
      8435*T1^6*T2^8 - 16631*T1^7*T2^8 + 8435*T1^8*T2^8 + 3507*T1^9*T2^8 - 
      2939*T1^10*T2^8 + 349*T1^11*T2^8 + 156*T1^12*T2^8 - 211*T1^3*T2^9 + 
      349*T1^4*T2^9 + 1524*T1^5*T2^9 - 5722*T1^6*T2^9 + 3507*T1^7*T2^9 + 
      3507*T1^8*T2^9 - 5722*T1^9*T2^9 + 1524*T1^10*T2^9 + 349*T1^11*T2^9 - 
      211*T1^12*T2^9 + 156*T1^4*T2^10 - 627*T1^5*T2^10 + 587*T1^6*T2^10 + 
      1524*T1^7*T2^10 - 2939*T1^8*T2^10 + 1524*T1^9*T2^10 + 587*T1^10*T2^10 - 
      627*T1^11*T2^10 + 156*T1^12*T2^10 - 57*T1^5*T2^11 + 304*T1^6*T2^11 - 
      627*T1^7*T2^11 + 349*T1^8*T2^11 + 349*T1^9*T2^11 - 627*T1^10*T2^11 + 
      304*T1^11*T2^11 - 57*T1^12*T2^11 + 9*T1^6*T2^12 - 57*T1^7*T2^12 + 
      156*T1^8*T2^12 - 211*T1^9*T2^12 + 156*T1^10*T2^12 - 57*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, Alternating, 323] -> 
  {(2 - 9*T + 19*T^2 - 23*T^3 + 19*T^4 - 9*T^5 + 2*T^6)/T^3, 
   -((7 - 31*T1 + 64*T1^2 - 77*T1^3 + 64*T1^4 - 31*T1^5 + 7*T1^6 - 31*T2 + 
      106*T1*T2 - 145*T1^2*T2 + 57*T1^3*T2 + 57*T1^4*T2 - 145*T1^5*T2 + 
      106*T1^6*T2 - 31*T1^7*T2 + 64*T2^2 - 145*T1*T2^2 + 23*T1^2*T2^2 + 
      307*T1^3*T2^2 - 407*T1^4*T2^2 + 307*T1^5*T2^2 + 23*T1^6*T2^2 - 
      145*T1^7*T2^2 + 64*T1^8*T2^2 - 77*T2^3 + 57*T1*T2^3 + 307*T1^2*T2^3 - 
      628*T1^3*T2^3 + 254*T1^4*T2^3 + 254*T1^5*T2^3 - 628*T1^6*T2^3 + 
      307*T1^7*T2^3 + 57*T1^8*T2^3 - 77*T1^9*T2^3 + 64*T2^4 + 57*T1*T2^4 - 
      407*T1^2*T2^4 + 254*T1^3*T2^4 + 669*T1^4*T2^4 - 1077*T1^5*T2^4 + 
      669*T1^6*T2^4 + 254*T1^7*T2^4 - 407*T1^8*T2^4 + 57*T1^9*T2^4 + 
      64*T1^10*T2^4 - 31*T2^5 - 145*T1*T2^5 + 307*T1^2*T2^5 + 254*T1^3*T2^5 - 
      1077*T1^4*T2^5 + 626*T1^5*T2^5 + 626*T1^6*T2^5 - 1077*T1^7*T2^5 + 
      254*T1^8*T2^5 + 307*T1^9*T2^5 - 145*T1^10*T2^5 - 31*T1^11*T2^5 + 
      7*T2^6 + 106*T1*T2^6 + 23*T1^2*T2^6 - 628*T1^3*T2^6 + 669*T1^4*T2^6 + 
      626*T1^5*T2^6 - 1524*T1^6*T2^6 + 626*T1^7*T2^6 + 669*T1^8*T2^6 - 
      628*T1^9*T2^6 + 23*T1^10*T2^6 + 106*T1^11*T2^6 + 7*T1^12*T2^6 - 
      31*T1*T2^7 - 145*T1^2*T2^7 + 307*T1^3*T2^7 + 254*T1^4*T2^7 - 
      1077*T1^5*T2^7 + 626*T1^6*T2^7 + 626*T1^7*T2^7 - 1077*T1^8*T2^7 + 
      254*T1^9*T2^7 + 307*T1^10*T2^7 - 145*T1^11*T2^7 - 31*T1^12*T2^7 + 
      64*T1^2*T2^8 + 57*T1^3*T2^8 - 407*T1^4*T2^8 + 254*T1^5*T2^8 + 
      669*T1^6*T2^8 - 1077*T1^7*T2^8 + 669*T1^8*T2^8 + 254*T1^9*T2^8 - 
      407*T1^10*T2^8 + 57*T1^11*T2^8 + 64*T1^12*T2^8 - 77*T1^3*T2^9 + 
      57*T1^4*T2^9 + 307*T1^5*T2^9 - 628*T1^6*T2^9 + 254*T1^7*T2^9 + 
      254*T1^8*T2^9 - 628*T1^9*T2^9 + 307*T1^10*T2^9 + 57*T1^11*T2^9 - 
      77*T1^12*T2^9 + 64*T1^4*T2^10 - 145*T1^5*T2^10 + 23*T1^6*T2^10 + 
      307*T1^7*T2^10 - 407*T1^8*T2^10 + 307*T1^9*T2^10 + 23*T1^10*T2^10 - 
      145*T1^11*T2^10 + 64*T1^12*T2^10 - 31*T1^5*T2^11 + 106*T1^6*T2^11 - 
      145*T1^7*T2^11 + 57*T1^8*T2^11 + 57*T1^9*T2^11 - 145*T1^10*T2^11 + 
      106*T1^11*T2^11 - 31*T1^12*T2^11 + 7*T1^6*T2^12 - 31*T1^7*T2^12 + 
      64*T1^8*T2^12 - 77*T1^9*T2^12 + 64*T1^10*T2^12 - 31*T1^11*T2^12 + 
      7*T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, Alternating, 324] -> 
  {-((5 - 25*T + 39*T^2 - 25*T^3 + 5*T^4)/T^2), 
   (165 - 820*T1 + 1269*T1^2 - 820*T1^3 + 165*T1^4 - 820*T2 + 3256*T1*T2 - 
     2236*T1^2*T2 - 2236*T1^3*T2 + 3256*T1^4*T2 - 820*T1^5*T2 + 1269*T2^2 - 
     2236*T1*T2^2 - 8962*T1^2*T2^2 + 18292*T1^3*T2^2 - 8962*T1^4*T2^2 - 
     2236*T1^5*T2^2 + 1269*T1^6*T2^2 - 820*T2^3 - 2236*T1*T2^3 + 
     18292*T1^2*T2^3 - 13588*T1^3*T2^3 - 13588*T1^4*T2^3 + 18292*T1^5*T2^3 - 
     2236*T1^6*T2^3 - 820*T1^7*T2^3 + 165*T2^4 + 3256*T1*T2^4 - 
     8962*T1^2*T2^4 - 13588*T1^3*T2^4 + 34080*T1^4*T2^4 - 13588*T1^5*T2^4 - 
     8962*T1^6*T2^4 + 3256*T1^7*T2^4 + 165*T1^8*T2^4 - 820*T1*T2^5 - 
     2236*T1^2*T2^5 + 18292*T1^3*T2^5 - 13588*T1^4*T2^5 - 13588*T1^5*T2^5 + 
     18292*T1^6*T2^5 - 2236*T1^7*T2^5 - 820*T1^8*T2^5 + 1269*T1^2*T2^6 - 
     2236*T1^3*T2^6 - 8962*T1^4*T2^6 + 18292*T1^5*T2^6 - 8962*T1^6*T2^6 - 
     2236*T1^7*T2^6 + 1269*T1^8*T2^6 - 820*T1^3*T2^7 + 3256*T1^4*T2^7 - 
     2236*T1^5*T2^7 - 2236*T1^6*T2^7 + 3256*T1^7*T2^7 - 820*T1^8*T2^7 + 
     165*T1^4*T2^8 - 820*T1^5*T2^8 + 1269*T1^6*T2^8 - 820*T1^7*T2^8 + 
     165*T1^8*T2^8)/(T1^4*T2^4)}, Knot[11, Alternating, 325] -> 
  {-((6 - 24*T + 35*T^2 - 24*T^3 + 6*T^4)/T^2), 
   (213 - 822*T1 + 1179*T1^2 - 822*T1^3 + 213*T1^4 - 822*T2 + 2348*T1*T2 - 
     1384*T1^2*T2 - 1384*T1^3*T2 + 2348*T1^4*T2 - 822*T1^5*T2 + 1179*T2^2 - 
     1384*T1*T2^2 - 4446*T1^2*T2^2 + 8414*T1^3*T2^2 - 4446*T1^4*T2^2 - 
     1384*T1^5*T2^2 + 1179*T1^6*T2^2 - 822*T2^3 - 1384*T1*T2^3 + 
     8414*T1^2*T2^3 - 5400*T1^3*T2^3 - 5400*T1^4*T2^3 + 8414*T1^5*T2^3 - 
     1384*T1^6*T2^3 - 822*T1^7*T2^3 + 213*T2^4 + 2348*T1*T2^4 - 
     4446*T1^2*T2^4 - 5400*T1^3*T2^4 + 12624*T1^4*T2^4 - 5400*T1^5*T2^4 - 
     4446*T1^6*T2^4 + 2348*T1^7*T2^4 + 213*T1^8*T2^4 - 822*T1*T2^5 - 
     1384*T1^2*T2^5 + 8414*T1^3*T2^5 - 5400*T1^4*T2^5 - 5400*T1^5*T2^5 + 
     8414*T1^6*T2^5 - 1384*T1^7*T2^5 - 822*T1^8*T2^5 + 1179*T1^2*T2^6 - 
     1384*T1^3*T2^6 - 4446*T1^4*T2^6 + 8414*T1^5*T2^6 - 4446*T1^6*T2^6 - 
     1384*T1^7*T2^6 + 1179*T1^8*T2^6 - 822*T1^3*T2^7 + 2348*T1^4*T2^7 - 
     1384*T1^5*T2^7 - 1384*T1^6*T2^7 + 2348*T1^7*T2^7 - 822*T1^8*T2^7 + 
     213*T1^4*T2^8 - 822*T1^5*T2^8 + 1179*T1^6*T2^8 - 822*T1^7*T2^8 + 
     213*T1^8*T2^8)/(T1^4*T2^4)}, Knot[11, Alternating, 326] -> 
  {(1 - 3*T + 5*T^2 - 3*T^3 + T^4)^2/T^4, 
   (2 - 3*T1 + 3*T1^2 + 3*T1^4 - 3*T1^5 + 2*T1^6 - 3*T2 - 16*T1*T2 + 
     32*T1^2*T2 - 29*T1^3*T2 - 29*T1^4*T2 + 32*T1^5*T2 - 16*T1^6*T2 - 
     3*T1^7*T2 + 3*T2^2 + 32*T1*T2^2 + 44*T1^2*T2^2 - 210*T1^3*T2^2 + 
     392*T1^4*T2^2 - 210*T1^5*T2^2 + 44*T1^6*T2^2 + 32*T1^7*T2^2 + 
     3*T1^8*T2^2 - 29*T1*T2^3 - 210*T1^2*T2^3 + 410*T1^3*T2^3 - 
     344*T1^4*T2^3 - 344*T1^5*T2^3 + 410*T1^6*T2^3 - 210*T1^7*T2^3 - 
     29*T1^8*T2^3 + 3*T2^4 - 29*T1*T2^4 + 392*T1^2*T2^4 - 344*T1^3*T2^4 - 
     112*T1^4*T2^4 + 846*T1^5*T2^4 - 112*T1^6*T2^4 - 344*T1^7*T2^4 + 
     392*T1^8*T2^4 - 29*T1^9*T2^4 + 3*T1^10*T2^4 - 3*T2^5 + 32*T1*T2^5 - 
     210*T1^2*T2^5 - 344*T1^3*T2^5 + 846*T1^4*T2^5 - 808*T1^5*T2^5 - 
     808*T1^6*T2^5 + 846*T1^7*T2^5 - 344*T1^8*T2^5 - 210*T1^9*T2^5 + 
     32*T1^10*T2^5 - 3*T1^11*T2^5 + 2*T2^6 - 16*T1*T2^6 + 44*T1^2*T2^6 + 
     410*T1^3*T2^6 - 112*T1^4*T2^6 - 808*T1^5*T2^6 + 2064*T1^6*T2^6 - 
     808*T1^7*T2^6 - 112*T1^8*T2^6 + 410*T1^9*T2^6 + 44*T1^10*T2^6 - 
     16*T1^11*T2^6 + 2*T1^12*T2^6 - 3*T1*T2^7 + 32*T1^2*T2^7 - 
     210*T1^3*T2^7 - 344*T1^4*T2^7 + 846*T1^5*T2^7 - 808*T1^6*T2^7 - 
     808*T1^7*T2^7 + 846*T1^8*T2^7 - 344*T1^9*T2^7 - 210*T1^10*T2^7 + 
     32*T1^11*T2^7 - 3*T1^12*T2^7 + 3*T1^2*T2^8 - 29*T1^3*T2^8 + 
     392*T1^4*T2^8 - 344*T1^5*T2^8 - 112*T1^6*T2^8 + 846*T1^7*T2^8 - 
     112*T1^8*T2^8 - 344*T1^9*T2^8 + 392*T1^10*T2^8 - 29*T1^11*T2^8 + 
     3*T1^12*T2^8 - 29*T1^4*T2^9 - 210*T1^5*T2^9 + 410*T1^6*T2^9 - 
     344*T1^7*T2^9 - 344*T1^8*T2^9 + 410*T1^9*T2^9 - 210*T1^10*T2^9 - 
     29*T1^11*T2^9 + 3*T1^4*T2^10 + 32*T1^5*T2^10 + 44*T1^6*T2^10 - 
     210*T1^7*T2^10 + 392*T1^8*T2^10 - 210*T1^9*T2^10 + 44*T1^10*T2^10 + 
     32*T1^11*T2^10 + 3*T1^12*T2^10 - 3*T1^5*T2^11 - 16*T1^6*T2^11 + 
     32*T1^7*T2^11 - 29*T1^8*T2^11 - 29*T1^9*T2^11 + 32*T1^10*T2^11 - 
     16*T1^11*T2^11 - 3*T1^12*T2^11 + 2*T1^6*T2^12 - 3*T1^7*T2^12 + 
     3*T1^8*T2^12 + 3*T1^10*T2^12 - 3*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 327] -> 
  {((3 - 5*T + 3*T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^3, 
   (30 - 166*T1 + 425*T1^2 - 566*T1^3 + 425*T1^4 - 166*T1^5 + 30*T1^6 - 
     166*T2 + 756*T1*T2 - 1440*T1^2*T2 + 785*T1^3*T2 + 785*T1^4*T2 - 
     1440*T1^5*T2 + 756*T1^6*T2 - 166*T1^7*T2 + 425*T2^2 - 1440*T1*T2^2 + 
     1323*T1^2*T2^2 + 2818*T1^3*T2^2 - 5571*T1^4*T2^2 + 2818*T1^5*T2^2 + 
     1323*T1^6*T2^2 - 1440*T1^7*T2^2 + 425*T1^8*T2^2 - 566*T2^3 + 
     785*T1*T2^3 + 2818*T1^2*T2^3 - 10644*T1^3*T2^3 + 6502*T1^4*T2^3 + 
     6502*T1^5*T2^3 - 10644*T1^6*T2^3 + 2818*T1^7*T2^3 + 785*T1^8*T2^3 - 
     566*T1^9*T2^3 + 425*T2^4 + 785*T1*T2^4 - 5571*T1^2*T2^4 + 
     6502*T1^3*T2^4 + 15773*T1^4*T2^4 - 30933*T1^5*T2^4 + 15773*T1^6*T2^4 + 
     6502*T1^7*T2^4 - 5571*T1^8*T2^4 + 785*T1^9*T2^4 + 425*T1^10*T2^4 - 
     166*T2^5 - 1440*T1*T2^5 + 2818*T1^2*T2^5 + 6502*T1^3*T2^5 - 
     30933*T1^4*T2^5 + 19340*T1^5*T2^5 + 19340*T1^6*T2^5 - 30933*T1^7*T2^5 + 
     6502*T1^8*T2^5 + 2818*T1^9*T2^5 - 1440*T1^10*T2^5 - 166*T1^11*T2^5 + 
     30*T2^6 + 756*T1*T2^6 + 1323*T1^2*T2^6 - 10644*T1^3*T2^6 + 
     15773*T1^4*T2^6 + 19340*T1^5*T2^6 - 44136*T1^6*T2^6 + 19340*T1^7*T2^6 + 
     15773*T1^8*T2^6 - 10644*T1^9*T2^6 + 1323*T1^10*T2^6 + 756*T1^11*T2^6 + 
     30*T1^12*T2^6 - 166*T1*T2^7 - 1440*T1^2*T2^7 + 2818*T1^3*T2^7 + 
     6502*T1^4*T2^7 - 30933*T1^5*T2^7 + 19340*T1^6*T2^7 + 19340*T1^7*T2^7 - 
     30933*T1^8*T2^7 + 6502*T1^9*T2^7 + 2818*T1^10*T2^7 - 1440*T1^11*T2^7 - 
     166*T1^12*T2^7 + 425*T1^2*T2^8 + 785*T1^3*T2^8 - 5571*T1^4*T2^8 + 
     6502*T1^5*T2^8 + 15773*T1^6*T2^8 - 30933*T1^7*T2^8 + 15773*T1^8*T2^8 + 
     6502*T1^9*T2^8 - 5571*T1^10*T2^8 + 785*T1^11*T2^8 + 425*T1^12*T2^8 - 
     566*T1^3*T2^9 + 785*T1^4*T2^9 + 2818*T1^5*T2^9 - 10644*T1^6*T2^9 + 
     6502*T1^7*T2^9 + 6502*T1^8*T2^9 - 10644*T1^9*T2^9 + 2818*T1^10*T2^9 + 
     785*T1^11*T2^9 - 566*T1^12*T2^9 + 425*T1^4*T2^10 - 1440*T1^5*T2^10 + 
     1323*T1^6*T2^10 + 2818*T1^7*T2^10 - 5571*T1^8*T2^10 + 2818*T1^9*T2^10 + 
     1323*T1^10*T2^10 - 1440*T1^11*T2^10 + 425*T1^12*T2^10 - 166*T1^5*T2^11 + 
     756*T1^6*T2^11 - 1440*T1^7*T2^11 + 785*T1^8*T2^11 + 785*T1^9*T2^11 - 
     1440*T1^10*T2^11 + 756*T1^11*T2^11 - 166*T1^12*T2^11 + 30*T1^6*T2^12 - 
     166*T1^7*T2^12 + 425*T1^8*T2^12 - 566*T1^9*T2^12 + 425*T1^10*T2^12 - 
     166*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, Alternating, 328] -> 
  {-((3 - 16*T + 34*T^2 - 43*T^3 + 34*T^4 - 16*T^5 + 3*T^6)/T^3), 
   -((57 - 299*T1 + 627*T1^2 - 791*T1^3 + 627*T1^4 - 299*T1^5 + 57*T1^6 - 
      299*T2 + 1270*T1*T2 - 1725*T1^2*T2 + 862*T1^3*T2 + 862*T1^4*T2 - 
      1725*T1^5*T2 + 1270*T1^6*T2 - 299*T1^7*T2 + 627*T2^2 - 1725*T1*T2^2 - 
      636*T1^2*T2^2 + 5198*T1^3*T2^2 - 7902*T1^4*T2^2 + 5198*T1^5*T2^2 - 
      636*T1^6*T2^2 - 1725*T1^7*T2^2 + 627*T1^8*T2^2 - 791*T2^3 + 
      862*T1*T2^3 + 5198*T1^2*T2^3 - 8996*T1^3*T2^3 + 5057*T1^4*T2^3 + 
      5057*T1^5*T2^3 - 8996*T1^6*T2^3 + 5198*T1^7*T2^3 + 862*T1^8*T2^3 - 
      791*T1^9*T2^3 + 627*T2^4 + 862*T1*T2^4 - 7902*T1^2*T2^4 + 
      5057*T1^3*T2^4 + 5503*T1^4*T2^4 - 13361*T1^5*T2^4 + 5503*T1^6*T2^4 + 
      5057*T1^7*T2^4 - 7902*T1^8*T2^4 + 862*T1^9*T2^4 + 627*T1^10*T2^4 - 
      299*T2^5 - 1725*T1*T2^5 + 5198*T1^2*T2^5 + 5057*T1^3*T2^5 - 
      13361*T1^4*T2^5 + 8758*T1^5*T2^5 + 8758*T1^6*T2^5 - 13361*T1^7*T2^5 + 
      5057*T1^8*T2^5 + 5198*T1^9*T2^5 - 1725*T1^10*T2^5 - 299*T1^11*T2^5 + 
      57*T2^6 + 1270*T1*T2^6 - 636*T1^2*T2^6 - 8996*T1^3*T2^6 + 
      5503*T1^4*T2^6 + 8758*T1^5*T2^6 - 20052*T1^6*T2^6 + 8758*T1^7*T2^6 + 
      5503*T1^8*T2^6 - 8996*T1^9*T2^6 - 636*T1^10*T2^6 + 1270*T1^11*T2^6 + 
      57*T1^12*T2^6 - 299*T1*T2^7 - 1725*T1^2*T2^7 + 5198*T1^3*T2^7 + 
      5057*T1^4*T2^7 - 13361*T1^5*T2^7 + 8758*T1^6*T2^7 + 8758*T1^7*T2^7 - 
      13361*T1^8*T2^7 + 5057*T1^9*T2^7 + 5198*T1^10*T2^7 - 1725*T1^11*T2^7 - 
      299*T1^12*T2^7 + 627*T1^2*T2^8 + 862*T1^3*T2^8 - 7902*T1^4*T2^8 + 
      5057*T1^5*T2^8 + 5503*T1^6*T2^8 - 13361*T1^7*T2^8 + 5503*T1^8*T2^8 + 
      5057*T1^9*T2^8 - 7902*T1^10*T2^8 + 862*T1^11*T2^8 + 627*T1^12*T2^8 - 
      791*T1^3*T2^9 + 862*T1^4*T2^9 + 5198*T1^5*T2^9 - 8996*T1^6*T2^9 + 
      5057*T1^7*T2^9 + 5057*T1^8*T2^9 - 8996*T1^9*T2^9 + 5198*T1^10*T2^9 + 
      862*T1^11*T2^9 - 791*T1^12*T2^9 + 627*T1^4*T2^10 - 1725*T1^5*T2^10 - 
      636*T1^6*T2^10 + 5198*T1^7*T2^10 - 7902*T1^8*T2^10 + 5198*T1^9*T2^10 - 
      636*T1^10*T2^10 - 1725*T1^11*T2^10 + 627*T1^12*T2^10 - 299*T1^5*T2^11 + 
      1270*T1^6*T2^11 - 1725*T1^7*T2^11 + 862*T1^8*T2^11 + 862*T1^9*T2^11 - 
      1725*T1^10*T2^11 + 1270*T1^11*T2^11 - 299*T1^12*T2^11 + 57*T1^6*T2^12 - 
      299*T1^7*T2^12 + 627*T1^8*T2^12 - 791*T1^9*T2^12 + 627*T1^10*T2^12 - 
      299*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, Alternating, 329] -> {(11 - 36*T + 51*T^2 - 36*T^3 + 11*T^4)/T^2, 
   (3047 - 9754*T1 + 13747*T1^2 - 9754*T1^3 + 3047*T1^4 - 9754*T2 + 
     21578*T1*T2 - 12864*T1^2*T2 - 12864*T1^3*T2 + 21578*T1^4*T2 - 
     9754*T1^5*T2 + 13747*T2^2 - 12864*T1*T2^2 - 25163*T1^2*T2^2 + 
     54661*T1^3*T2^2 - 25163*T1^4*T2^2 - 12864*T1^5*T2^2 + 13747*T1^6*T2^2 - 
     9754*T2^3 - 12864*T1*T2^3 + 54661*T1^2*T2^3 - 37528*T1^3*T2^3 - 
     37528*T1^4*T2^3 + 54661*T1^5*T2^3 - 12864*T1^6*T2^3 - 9754*T1^7*T2^3 + 
     3047*T2^4 + 21578*T1*T2^4 - 25163*T1^2*T2^4 - 37528*T1^3*T2^4 + 
     89364*T1^4*T2^4 - 37528*T1^5*T2^4 - 25163*T1^6*T2^4 + 21578*T1^7*T2^4 + 
     3047*T1^8*T2^4 - 9754*T1*T2^5 - 12864*T1^2*T2^5 + 54661*T1^3*T2^5 - 
     37528*T1^4*T2^5 - 37528*T1^5*T2^5 + 54661*T1^6*T2^5 - 12864*T1^7*T2^5 - 
     9754*T1^8*T2^5 + 13747*T1^2*T2^6 - 12864*T1^3*T2^6 - 25163*T1^4*T2^6 + 
     54661*T1^5*T2^6 - 25163*T1^6*T2^6 - 12864*T1^7*T2^6 + 13747*T1^8*T2^6 - 
     9754*T1^3*T2^7 + 21578*T1^4*T2^7 - 12864*T1^5*T2^7 - 12864*T1^6*T2^7 + 
     21578*T1^7*T2^7 - 9754*T1^8*T2^7 + 3047*T1^4*T2^8 - 9754*T1^5*T2^8 + 
     13747*T1^6*T2^8 - 9754*T1^7*T2^8 + 3047*T1^8*T2^8)/(T1^4*T2^4)}, 
 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 + 40*T1*T2 - 70*T1^2*T2 + 50*T1^3*T2 - 20*T1^4*T2 - 
      20*T1^5*T2 + 50*T1^6*T2 - 70*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
      24*T2^2 - 70*T1*T2^2 + 60*T1^2*T2^2 + 78*T1^3*T2^2 - 122*T1^4*T2^2 + 
      152*T1^5*T2^2 - 122*T1^6*T2^2 + 78*T1^7*T2^2 + 60*T1^8*T2^2 - 
      70*T1^9*T2^2 + 24*T1^10*T2^2 - 34*T2^3 + 50*T1*T2^3 + 78*T1^2*T2^3 - 
      308*T1^3*T2^3 + 161*T1^4*T2^3 - 78*T1^5*T2^3 - 78*T1^6*T2^3 + 
      161*T1^7*T2^3 - 308*T1^8*T2^3 + 78*T1^9*T2^3 + 50*T1^10*T2^3 - 
      34*T1^11*T2^3 + 38*T2^4 - 20*T1*T2^4 - 122*T1^2*T2^4 + 161*T1^3*T2^4 + 
      382*T1^4*T2^4 - 465*T1^5*T2^4 + 582*T1^6*T2^4 - 465*T1^7*T2^4 + 
      382*T1^8*T2^4 + 161*T1^9*T2^4 - 122*T1^10*T2^4 - 20*T1^11*T2^4 + 
      38*T1^12*T2^4 - 34*T2^5 - 20*T1*T2^5 + 152*T1^2*T2^5 - 78*T1^3*T2^5 - 
      465*T1^4*T2^5 + 154*T1^5*T2^5 - 123*T1^6*T2^5 - 123*T1^7*T2^5 + 
      154*T1^8*T2^5 - 465*T1^9*T2^5 - 78*T1^10*T2^5 + 152*T1^11*T2^5 - 
      20*T1^12*T2^5 - 34*T1^13*T2^5 + 24*T2^6 + 50*T1*T2^6 - 122*T1^2*T2^6 - 
      78*T1^3*T2^6 + 582*T1^4*T2^6 - 123*T1^5*T2^6 + 247*T1^6*T2^6 - 
      91*T1^7*T2^6 + 247*T1^8*T2^6 - 123*T1^9*T2^6 + 582*T1^10*T2^6 - 
      78*T1^11*T2^6 - 122*T1^12*T2^6 + 50*T1^13*T2^6 + 24*T1^14*T2^6 - 
      10*T2^7 - 70*T1*T2^7 + 78*T1^2*T2^7 + 161*T1^3*T2^7 - 465*T1^4*T2^7 - 
      123*T1^5*T2^7 - 91*T1^6*T2^7 - 82*T1^7*T2^7 - 82*T1^8*T2^7 - 
      91*T1^9*T2^7 - 123*T1^10*T2^7 - 465*T1^11*T2^7 + 161*T1^12*T2^7 + 
      78*T1^13*T2^7 - 70*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 + 
      60*T1^2*T2^8 - 308*T1^3*T2^8 + 382*T1^4*T2^8 + 154*T1^5*T2^8 + 
      247*T1^6*T2^8 - 82*T1^7*T2^8 + 252*T1^8*T2^8 - 82*T1^9*T2^8 + 
      247*T1^10*T2^8 + 154*T1^11*T2^8 + 382*T1^12*T2^8 - 308*T1^13*T2^8 + 
      60*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
      70*T1^2*T2^9 + 78*T1^3*T2^9 + 161*T1^4*T2^9 - 465*T1^5*T2^9 - 
      123*T1^6*T2^9 - 91*T1^7*T2^9 - 82*T1^8*T2^9 - 82*T1^9*T2^9 - 
      91*T1^10*T2^9 - 123*T1^11*T2^9 - 465*T1^12*T2^9 + 161*T1^13*T2^9 + 
      78*T1^14*T2^9 - 70*T1^15*T2^9 - 10*T1^16*T2^9 + 24*T1^2*T2^10 + 
      50*T1^3*T2^10 - 122*T1^4*T2^10 - 78*T1^5*T2^10 + 582*T1^6*T2^10 - 
      123*T1^7*T2^10 + 247*T1^8*T2^10 - 91*T1^9*T2^10 + 247*T1^10*T2^10 - 
      123*T1^11*T2^10 + 582*T1^12*T2^10 - 78*T1^13*T2^10 - 122*T1^14*T2^10 + 
      50*T1^15*T2^10 + 24*T1^16*T2^10 - 34*T1^3*T2^11 - 20*T1^4*T2^11 + 
      152*T1^5*T2^11 - 78*T1^6*T2^11 - 465*T1^7*T2^11 + 154*T1^8*T2^11 - 
      123*T1^9*T2^11 - 123*T1^10*T2^11 + 154*T1^11*T2^11 - 465*T1^12*T2^11 - 
      78*T1^13*T2^11 + 152*T1^14*T2^11 - 20*T1^15*T2^11 - 34*T1^16*T2^11 + 
      38*T1^4*T2^12 - 20*T1^5*T2^12 - 122*T1^6*T2^12 + 161*T1^7*T2^12 + 
      382*T1^8*T2^12 - 465*T1^9*T2^12 + 582*T1^10*T2^12 - 465*T1^11*T2^12 + 
      382*T1^12*T2^12 + 161*T1^13*T2^12 - 122*T1^14*T2^12 - 20*T1^15*T2^12 + 
      38*T1^16*T2^12 - 34*T1^5*T2^13 + 50*T1^6*T2^13 + 78*T1^7*T2^13 - 
      308*T1^8*T2^13 + 161*T1^9*T2^13 - 78*T1^10*T2^13 - 78*T1^11*T2^13 + 
      161*T1^12*T2^13 - 308*T1^13*T2^13 + 78*T1^14*T2^13 + 50*T1^15*T2^13 - 
      34*T1^16*T2^13 + 24*T1^6*T2^14 - 70*T1^7*T2^14 + 60*T1^8*T2^14 + 
      78*T1^9*T2^14 - 122*T1^10*T2^14 + 152*T1^11*T2^14 - 122*T1^12*T2^14 + 
      78*T1^13*T2^14 + 60*T1^14*T2^14 - 70*T1^15*T2^14 + 24*T1^16*T2^14 - 
      10*T1^7*T2^15 + 40*T1^8*T2^15 - 70*T1^9*T2^15 + 50*T1^10*T2^15 - 
      20*T1^11*T2^15 - 20*T1^12*T2^15 + 50*T1^13*T2^15 - 70*T1^14*T2^15 + 
      40*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)/(T1^8*T2^8))}, 
 Knot[11, Alternating, 331] -> 
  {(2 - 11*T + 27*T^2 - 35*T^3 + 27*T^4 - 11*T^5 + 2*T^6)/T^3, 
   -((9 - 49*T1 + 120*T1^2 - 155*T1^3 + 120*T1^4 - 49*T1^5 + 9*T1^6 - 49*T2 + 
      218*T1*T2 - 387*T1^2*T2 + 191*T1^3*T2 + 191*T1^4*T2 - 387*T1^5*T2 + 
      218*T1^6*T2 - 49*T1^7*T2 + 120*T2^2 - 387*T1*T2^2 + 264*T1^2*T2^2 + 
      838*T1^3*T2^2 - 1412*T1^4*T2^2 + 838*T1^5*T2^2 + 264*T1^6*T2^2 - 
      387*T1^7*T2^2 + 120*T1^8*T2^2 - 155*T2^3 + 191*T1*T2^3 + 
      838*T1^2*T2^3 - 2594*T1^3*T2^3 + 1354*T1^4*T2^3 + 1354*T1^5*T2^3 - 
      2594*T1^6*T2^3 + 838*T1^7*T2^3 + 191*T1^8*T2^3 - 155*T1^9*T2^3 + 
      120*T2^4 + 191*T1*T2^4 - 1412*T1^2*T2^4 + 1354*T1^3*T2^4 + 
      3537*T1^4*T2^4 - 6177*T1^5*T2^4 + 3537*T1^6*T2^4 + 1354*T1^7*T2^4 - 
      1412*T1^8*T2^4 + 191*T1^9*T2^4 + 120*T1^10*T2^4 - 49*T2^5 - 
      387*T1*T2^5 + 838*T1^2*T2^5 + 1354*T1^3*T2^5 - 6177*T1^4*T2^5 + 
      3434*T1^5*T2^5 + 3434*T1^6*T2^5 - 6177*T1^7*T2^5 + 1354*T1^8*T2^5 + 
      838*T1^9*T2^5 - 387*T1^10*T2^5 - 49*T1^11*T2^5 + 9*T2^6 + 218*T1*T2^6 + 
      264*T1^2*T2^6 - 2594*T1^3*T2^6 + 3537*T1^4*T2^6 + 3434*T1^5*T2^6 - 
      7548*T1^6*T2^6 + 3434*T1^7*T2^6 + 3537*T1^8*T2^6 - 2594*T1^9*T2^6 + 
      264*T1^10*T2^6 + 218*T1^11*T2^6 + 9*T1^12*T2^6 - 49*T1*T2^7 - 
      387*T1^2*T2^7 + 838*T1^3*T2^7 + 1354*T1^4*T2^7 - 6177*T1^5*T2^7 + 
      3434*T1^6*T2^7 + 3434*T1^7*T2^7 - 6177*T1^8*T2^7 + 1354*T1^9*T2^7 + 
      838*T1^10*T2^7 - 387*T1^11*T2^7 - 49*T1^12*T2^7 + 120*T1^2*T2^8 + 
      191*T1^3*T2^8 - 1412*T1^4*T2^8 + 1354*T1^5*T2^8 + 3537*T1^6*T2^8 - 
      6177*T1^7*T2^8 + 3537*T1^8*T2^8 + 1354*T1^9*T2^8 - 1412*T1^10*T2^8 + 
      191*T1^11*T2^8 + 120*T1^12*T2^8 - 155*T1^3*T2^9 + 191*T1^4*T2^9 + 
      838*T1^5*T2^9 - 2594*T1^6*T2^9 + 1354*T1^7*T2^9 + 1354*T1^8*T2^9 - 
      2594*T1^9*T2^9 + 838*T1^10*T2^9 + 191*T1^11*T2^9 - 155*T1^12*T2^9 + 
      120*T1^4*T2^10 - 387*T1^5*T2^10 + 264*T1^6*T2^10 + 838*T1^7*T2^10 - 
      1412*T1^8*T2^10 + 838*T1^9*T2^10 + 264*T1^10*T2^10 - 387*T1^11*T2^10 + 
      120*T1^12*T2^10 - 49*T1^5*T2^11 + 218*T1^6*T2^11 - 387*T1^7*T2^11 + 
      191*T1^8*T2^11 + 191*T1^9*T2^11 - 387*T1^10*T2^11 + 218*T1^11*T2^11 - 
      49*T1^12*T2^11 + 9*T1^6*T2^12 - 49*T1^7*T2^12 + 120*T1^8*T2^12 - 
      155*T1^9*T2^12 + 120*T1^10*T2^12 - 49*T1^11*T2^12 + 9*T1^12*T2^12)/
     (T1^6*T2^6))}, 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)*
     (3 - 10*T1 + 15*T1^2 - 10*T1^3 + 3*T1^4 - 10*T2 + 22*T1*T2 - 
      18*T1^2*T2 - 18*T1^3*T2 + 22*T1^4*T2 - 10*T1^5*T2 + 15*T2^2 - 
      18*T1*T2^2 + 3*T1^2*T2^2 + 51*T1^3*T2^2 + 3*T1^4*T2^2 - 18*T1^5*T2^2 + 
      15*T1^6*T2^2 - 10*T2^3 - 18*T1*T2^3 + 51*T1^2*T2^3 - 80*T1^3*T2^3 - 
      80*T1^4*T2^3 + 51*T1^5*T2^3 - 18*T1^6*T2^3 - 10*T1^7*T2^3 + 3*T2^4 + 
      22*T1*T2^4 + 3*T1^2*T2^4 - 80*T1^3*T2^4 + 252*T1^4*T2^4 - 
      80*T1^5*T2^4 + 3*T1^6*T2^4 + 22*T1^7*T2^4 + 3*T1^8*T2^4 - 10*T1*T2^5 - 
      18*T1^2*T2^5 + 51*T1^3*T2^5 - 80*T1^4*T2^5 - 80*T1^5*T2^5 + 
      51*T1^6*T2^5 - 18*T1^7*T2^5 - 10*T1^8*T2^5 + 15*T1^2*T2^6 - 
      18*T1^3*T2^6 + 3*T1^4*T2^6 + 51*T1^5*T2^6 + 3*T1^6*T2^6 - 
      18*T1^7*T2^6 + 15*T1^8*T2^6 - 10*T1^3*T2^7 + 22*T1^4*T2^7 - 
      18*T1^5*T2^7 - 18*T1^6*T2^7 + 22*T1^7*T2^7 - 10*T1^8*T2^7 + 
      3*T1^4*T2^8 - 10*T1^5*T2^8 + 15*T1^6*T2^8 - 10*T1^7*T2^8 + 
      3*T1^8*T2^8))/(T1^6*T2^6)}, Knot[11, Alternating, 333] -> 
  {(4 - 16*T + 25*T^2 - 16*T^3 + 4*T^4)/T^2, 
   (-2*(8 - 36*T1 + 60*T1^2 - 36*T1^3 + 8*T1^4 - 36*T2 + 126*T1*T2 - 
      108*T1^2*T2 - 108*T1^3*T2 + 126*T1^4*T2 - 36*T1^5*T2 + 60*T2^2 - 
      108*T1*T2^2 - 195*T1^2*T2^2 + 639*T1^3*T2^2 - 195*T1^4*T2^2 - 
      108*T1^5*T2^2 + 60*T1^6*T2^2 - 36*T2^3 - 108*T1*T2^3 + 639*T1^2*T2^3 - 
      672*T1^3*T2^3 - 672*T1^4*T2^3 + 639*T1^5*T2^3 - 108*T1^6*T2^3 - 
      36*T1^7*T2^3 + 8*T2^4 + 126*T1*T2^4 - 195*T1^2*T2^4 - 672*T1^3*T2^4 + 
      1932*T1^4*T2^4 - 672*T1^5*T2^4 - 195*T1^6*T2^4 + 126*T1^7*T2^4 + 
      8*T1^8*T2^4 - 36*T1*T2^5 - 108*T1^2*T2^5 + 639*T1^3*T2^5 - 
      672*T1^4*T2^5 - 672*T1^5*T2^5 + 639*T1^6*T2^5 - 108*T1^7*T2^5 - 
      36*T1^8*T2^5 + 60*T1^2*T2^6 - 108*T1^3*T2^6 - 195*T1^4*T2^6 + 
      639*T1^5*T2^6 - 195*T1^6*T2^6 - 108*T1^7*T2^6 + 60*T1^8*T2^6 - 
      36*T1^3*T2^7 + 126*T1^4*T2^7 - 108*T1^5*T2^7 - 108*T1^6*T2^7 + 
      126*T1^7*T2^7 - 36*T1^8*T2^7 + 8*T1^4*T2^8 - 36*T1^5*T2^8 + 
      60*T1^6*T2^8 - 36*T1^7*T2^8 + 8*T1^8*T2^8))/(T1^4*T2^4)}, 
 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, 
   (33 - 65*T1 + 97*T1^2 - 129*T1^3 + 145*T1^4 - 129*T1^5 + 97*T1^6 - 
     65*T1^7 + 33*T1^8 - 65*T2 + 64*T1*T2 - 64*T1^2*T2 + 64*T1^3*T2 - 
     32*T1^4*T2 - 32*T1^5*T2 + 64*T1^6*T2 - 64*T1^7*T2 + 64*T1^8*T2 - 
     65*T1^9*T2 + 97*T2^2 - 64*T1*T2^2 + 114*T1^2*T2^2 - 162*T1^3*T2^2 + 
     166*T1^4*T2^2 - 146*T1^5*T2^2 + 166*T1^6*T2^2 - 162*T1^7*T2^2 + 
     114*T1^8*T2^2 - 64*T1^9*T2^2 + 97*T1^10*T2^2 - 129*T2^3 + 64*T1*T2^3 - 
     162*T1^2*T2^3 + 160*T1^3*T2^3 - 104*T1^4*T2^3 + 24*T1^5*T2^3 + 
     24*T1^6*T2^3 - 104*T1^7*T2^3 + 160*T1^8*T2^3 - 162*T1^9*T2^3 + 
     64*T1^10*T2^3 - 129*T1^11*T2^3 + 145*T2^4 - 32*T1*T2^4 + 166*T1^2*T2^4 - 
     104*T1^3*T2^4 + 75*T1^4*T2^4 - 39*T1^5*T2^4 + 49*T1^6*T2^4 - 
     39*T1^7*T2^4 + 75*T1^8*T2^4 - 104*T1^9*T2^4 + 166*T1^10*T2^4 - 
     32*T1^11*T2^4 + 145*T1^12*T2^4 - 129*T2^5 - 32*T1*T2^5 - 146*T1^2*T2^5 + 
     24*T1^3*T2^5 - 39*T1^4*T2^5 + 10*T1^5*T2^5 - 18*T1^6*T2^5 - 
     18*T1^7*T2^5 + 10*T1^8*T2^5 - 39*T1^9*T2^5 + 24*T1^10*T2^5 - 
     146*T1^11*T2^5 - 32*T1^12*T2^5 - 129*T1^13*T2^5 + 97*T2^6 + 64*T1*T2^6 + 
     166*T1^2*T2^6 + 24*T1^3*T2^6 + 49*T1^4*T2^6 - 18*T1^5*T2^6 + 
     18*T1^6*T2^6 + 26*T1^7*T2^6 + 18*T1^8*T2^6 - 18*T1^9*T2^6 + 
     49*T1^10*T2^6 + 24*T1^11*T2^6 + 166*T1^12*T2^6 + 64*T1^13*T2^6 + 
     97*T1^14*T2^6 - 65*T2^7 - 64*T1*T2^7 - 162*T1^2*T2^7 - 104*T1^3*T2^7 - 
     39*T1^4*T2^7 - 18*T1^5*T2^7 + 26*T1^6*T2^7 - 44*T1^7*T2^7 - 
     44*T1^8*T2^7 + 26*T1^9*T2^7 - 18*T1^10*T2^7 - 39*T1^11*T2^7 - 
     104*T1^12*T2^7 - 162*T1^13*T2^7 - 64*T1^14*T2^7 - 65*T1^15*T2^7 + 
     33*T2^8 + 64*T1*T2^8 + 114*T1^2*T2^8 + 160*T1^3*T2^8 + 75*T1^4*T2^8 + 
     10*T1^5*T2^8 + 18*T1^6*T2^8 - 44*T1^7*T2^8 + 120*T1^8*T2^8 - 
     44*T1^9*T2^8 + 18*T1^10*T2^8 + 10*T1^11*T2^8 + 75*T1^12*T2^8 + 
     160*T1^13*T2^8 + 114*T1^14*T2^8 + 64*T1^15*T2^8 + 33*T1^16*T2^8 - 
     65*T1*T2^9 - 64*T1^2*T2^9 - 162*T1^3*T2^9 - 104*T1^4*T2^9 - 
     39*T1^5*T2^9 - 18*T1^6*T2^9 + 26*T1^7*T2^9 - 44*T1^8*T2^9 - 
     44*T1^9*T2^9 + 26*T1^10*T2^9 - 18*T1^11*T2^9 - 39*T1^12*T2^9 - 
     104*T1^13*T2^9 - 162*T1^14*T2^9 - 64*T1^15*T2^9 - 65*T1^16*T2^9 + 
     97*T1^2*T2^10 + 64*T1^3*T2^10 + 166*T1^4*T2^10 + 24*T1^5*T2^10 + 
     49*T1^6*T2^10 - 18*T1^7*T2^10 + 18*T1^8*T2^10 + 26*T1^9*T2^10 + 
     18*T1^10*T2^10 - 18*T1^11*T2^10 + 49*T1^12*T2^10 + 24*T1^13*T2^10 + 
     166*T1^14*T2^10 + 64*T1^15*T2^10 + 97*T1^16*T2^10 - 129*T1^3*T2^11 - 
     32*T1^4*T2^11 - 146*T1^5*T2^11 + 24*T1^6*T2^11 - 39*T1^7*T2^11 + 
     10*T1^8*T2^11 - 18*T1^9*T2^11 - 18*T1^10*T2^11 + 10*T1^11*T2^11 - 
     39*T1^12*T2^11 + 24*T1^13*T2^11 - 146*T1^14*T2^11 - 32*T1^15*T2^11 - 
     129*T1^16*T2^11 + 145*T1^4*T2^12 - 32*T1^5*T2^12 + 166*T1^6*T2^12 - 
     104*T1^7*T2^12 + 75*T1^8*T2^12 - 39*T1^9*T2^12 + 49*T1^10*T2^12 - 
     39*T1^11*T2^12 + 75*T1^12*T2^12 - 104*T1^13*T2^12 + 166*T1^14*T2^12 - 
     32*T1^15*T2^12 + 145*T1^16*T2^12 - 129*T1^5*T2^13 + 64*T1^6*T2^13 - 
     162*T1^7*T2^13 + 160*T1^8*T2^13 - 104*T1^9*T2^13 + 24*T1^10*T2^13 + 
     24*T1^11*T2^13 - 104*T1^12*T2^13 + 160*T1^13*T2^13 - 162*T1^14*T2^13 + 
     64*T1^15*T2^13 - 129*T1^16*T2^13 + 97*T1^6*T2^14 - 64*T1^7*T2^14 + 
     114*T1^8*T2^14 - 162*T1^9*T2^14 + 166*T1^10*T2^14 - 146*T1^11*T2^14 + 
     166*T1^12*T2^14 - 162*T1^13*T2^14 + 114*T1^14*T2^14 - 64*T1^15*T2^14 + 
     97*T1^16*T2^14 - 65*T1^7*T2^15 + 64*T1^8*T2^15 - 64*T1^9*T2^15 + 
     64*T1^10*T2^15 - 32*T1^11*T2^15 - 32*T1^12*T2^15 + 64*T1^13*T2^15 - 
     64*T1^14*T2^15 + 64*T1^15*T2^15 - 65*T1^16*T2^15 + 33*T1^8*T2^16 - 
     65*T1^9*T2^16 + 97*T1^10*T2^16 - 129*T1^11*T2^16 + 145*T1^12*T2^16 - 
     129*T1^13*T2^16 + 97*T1^14*T2^16 - 65*T1^15*T2^16 + 33*T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[11, Alternating, 335] -> 
  {((1 - T + T^2)*(4 - 6*T + 5*T^2 - 6*T^3 + 4*T^4))/T^3, 
   (208 - 508*T1 + 756*T1^2 - 856*T1^3 + 756*T1^4 - 508*T1^5 + 208*T1^6 - 
     508*T2 + 742*T1*T2 - 616*T1^2*T2 + 248*T1^3*T2 + 248*T1^4*T2 - 
     616*T1^5*T2 + 742*T1^6*T2 - 508*T1^7*T2 + 756*T2^2 - 616*T1*T2^2 + 
     365*T1^2*T2^2 - 201*T1^3*T2^2 + 89*T1^4*T2^2 - 201*T1^5*T2^2 + 
     365*T1^6*T2^2 - 616*T1^7*T2^2 + 756*T1^8*T2^2 - 856*T2^3 + 248*T1*T2^3 - 
     201*T1^2*T2^3 + 160*T1^3*T2^3 - 4*T1^4*T2^3 - 4*T1^5*T2^3 + 
     160*T1^6*T2^3 - 201*T1^7*T2^3 + 248*T1^8*T2^3 - 856*T1^9*T2^3 + 
     756*T2^4 + 248*T1*T2^4 + 89*T1^2*T2^4 - 4*T1^3*T2^4 - 112*T1^4*T2^4 - 
     8*T1^5*T2^4 - 112*T1^6*T2^4 - 4*T1^7*T2^4 + 89*T1^8*T2^4 + 
     248*T1^9*T2^4 + 756*T1^10*T2^4 - 508*T2^5 - 616*T1*T2^5 - 
     201*T1^2*T2^5 - 4*T1^3*T2^5 - 8*T1^4*T2^5 + 124*T1^5*T2^5 + 
     124*T1^6*T2^5 - 8*T1^7*T2^5 - 4*T1^8*T2^5 - 201*T1^9*T2^5 - 
     616*T1^10*T2^5 - 508*T1^11*T2^5 + 208*T2^6 + 742*T1*T2^6 + 
     365*T1^2*T2^6 + 160*T1^3*T2^6 - 112*T1^4*T2^6 + 124*T1^5*T2^6 - 
     372*T1^6*T2^6 + 124*T1^7*T2^6 - 112*T1^8*T2^6 + 160*T1^9*T2^6 + 
     365*T1^10*T2^6 + 742*T1^11*T2^6 + 208*T1^12*T2^6 - 508*T1*T2^7 - 
     616*T1^2*T2^7 - 201*T1^3*T2^7 - 4*T1^4*T2^7 - 8*T1^5*T2^7 + 
     124*T1^6*T2^7 + 124*T1^7*T2^7 - 8*T1^8*T2^7 - 4*T1^9*T2^7 - 
     201*T1^10*T2^7 - 616*T1^11*T2^7 - 508*T1^12*T2^7 + 756*T1^2*T2^8 + 
     248*T1^3*T2^8 + 89*T1^4*T2^8 - 4*T1^5*T2^8 - 112*T1^6*T2^8 - 
     8*T1^7*T2^8 - 112*T1^8*T2^8 - 4*T1^9*T2^8 + 89*T1^10*T2^8 + 
     248*T1^11*T2^8 + 756*T1^12*T2^8 - 856*T1^3*T2^9 + 248*T1^4*T2^9 - 
     201*T1^5*T2^9 + 160*T1^6*T2^9 - 4*T1^7*T2^9 - 4*T1^8*T2^9 + 
     160*T1^9*T2^9 - 201*T1^10*T2^9 + 248*T1^11*T2^9 - 856*T1^12*T2^9 + 
     756*T1^4*T2^10 - 616*T1^5*T2^10 + 365*T1^6*T2^10 - 201*T1^7*T2^10 + 
     89*T1^8*T2^10 - 201*T1^9*T2^10 + 365*T1^10*T2^10 - 616*T1^11*T2^10 + 
     756*T1^12*T2^10 - 508*T1^5*T2^11 + 742*T1^6*T2^11 - 616*T1^7*T2^11 + 
     248*T1^8*T2^11 + 248*T1^9*T2^11 - 616*T1^10*T2^11 + 742*T1^11*T2^11 - 
     508*T1^12*T2^11 + 208*T1^6*T2^12 - 508*T1^7*T2^12 + 756*T1^8*T2^12 - 
     856*T1^9*T2^12 + 756*T1^10*T2^12 - 508*T1^11*T2^12 + 208*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 336] -> 
  {(4 - 9*T + 11*T^2 - 11*T^3 + 11*T^4 - 9*T^5 + 4*T^6)/T^3, 
   (208 - 460*T1 + 560*T1^2 - 560*T1^3 + 560*T1^4 - 460*T1^5 + 208*T1^6 - 
     460*T2 + 562*T1*T2 - 224*T1^2*T2 - 224*T1^5*T2 + 562*T1^6*T2 - 
     460*T1^7*T2 + 560*T2^2 - 224*T1*T2^2 - 263*T1^2*T2^2 + 159*T1^3*T2^2 + 
     83*T1^4*T2^2 + 159*T1^5*T2^2 - 263*T1^6*T2^2 - 224*T1^7*T2^2 + 
     560*T1^8*T2^2 - 560*T2^3 + 159*T1^2*T2^3 + 166*T1^3*T2^3 - 
     202*T1^4*T2^3 - 202*T1^5*T2^3 + 166*T1^6*T2^3 + 159*T1^7*T2^3 - 
     560*T1^9*T2^3 + 560*T2^4 + 83*T1^2*T2^4 - 202*T1^3*T2^4 + 55*T1^4*T2^4 + 
     165*T1^5*T2^4 + 55*T1^6*T2^4 - 202*T1^7*T2^4 + 83*T1^8*T2^4 + 
     560*T1^10*T2^4 - 460*T2^5 - 224*T1*T2^5 + 159*T1^2*T2^5 - 
     202*T1^3*T2^5 + 165*T1^4*T2^5 - 118*T1^5*T2^5 - 118*T1^6*T2^5 + 
     165*T1^7*T2^5 - 202*T1^8*T2^5 + 159*T1^9*T2^5 - 224*T1^10*T2^5 - 
     460*T1^11*T2^5 + 208*T2^6 + 562*T1*T2^6 - 263*T1^2*T2^6 + 
     166*T1^3*T2^6 + 55*T1^4*T2^6 - 118*T1^5*T2^6 + 216*T1^6*T2^6 - 
     118*T1^7*T2^6 + 55*T1^8*T2^6 + 166*T1^9*T2^6 - 263*T1^10*T2^6 + 
     562*T1^11*T2^6 + 208*T1^12*T2^6 - 460*T1*T2^7 - 224*T1^2*T2^7 + 
     159*T1^3*T2^7 - 202*T1^4*T2^7 + 165*T1^5*T2^7 - 118*T1^6*T2^7 - 
     118*T1^7*T2^7 + 165*T1^8*T2^7 - 202*T1^9*T2^7 + 159*T1^10*T2^7 - 
     224*T1^11*T2^7 - 460*T1^12*T2^7 + 560*T1^2*T2^8 + 83*T1^4*T2^8 - 
     202*T1^5*T2^8 + 55*T1^6*T2^8 + 165*T1^7*T2^8 + 55*T1^8*T2^8 - 
     202*T1^9*T2^8 + 83*T1^10*T2^8 + 560*T1^12*T2^8 - 560*T1^3*T2^9 + 
     159*T1^5*T2^9 + 166*T1^6*T2^9 - 202*T1^7*T2^9 - 202*T1^8*T2^9 + 
     166*T1^9*T2^9 + 159*T1^10*T2^9 - 560*T1^12*T2^9 + 560*T1^4*T2^10 - 
     224*T1^5*T2^10 - 263*T1^6*T2^10 + 159*T1^7*T2^10 + 83*T1^8*T2^10 + 
     159*T1^9*T2^10 - 263*T1^10*T2^10 - 224*T1^11*T2^10 + 560*T1^12*T2^10 - 
     460*T1^5*T2^11 + 562*T1^6*T2^11 - 224*T1^7*T2^11 - 224*T1^10*T2^11 + 
     562*T1^11*T2^11 - 460*T1^12*T2^11 + 208*T1^6*T2^12 - 460*T1^7*T2^12 + 
     560*T1^8*T2^12 - 560*T1^9*T2^12 + 560*T1^10*T2^12 - 460*T1^11*T2^12 + 
     208*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, Alternating, 337] -> 
  {(8 - 22*T + 29*T^2 - 22*T^3 + 8*T^4)/T^2, 
   (1216 - 3248*T1 + 4240*T1^2 - 3248*T1^3 + 1216*T1^4 - 3248*T2 + 
     5476*T1*T2 - 2688*T1^2*T2 - 2688*T1^3*T2 + 5476*T1^4*T2 - 3248*T1^5*T2 + 
     4240*T2^2 - 2688*T1*T2^2 - 4637*T1^2*T2^2 + 8523*T1^3*T2^2 - 
     4637*T1^4*T2^2 - 2688*T1^5*T2^2 + 4240*T1^6*T2^2 - 3248*T2^3 - 
     2688*T1*T2^3 + 8523*T1^2*T2^3 - 4530*T1^3*T2^3 - 4530*T1^4*T2^3 + 
     8523*T1^5*T2^3 - 2688*T1^6*T2^3 - 3248*T1^7*T2^3 + 1216*T2^4 + 
     5476*T1*T2^4 - 4637*T1^2*T2^4 - 4530*T1^3*T2^4 + 9504*T1^4*T2^4 - 
     4530*T1^5*T2^4 - 4637*T1^6*T2^4 + 5476*T1^7*T2^4 + 1216*T1^8*T2^4 - 
     3248*T1*T2^5 - 2688*T1^2*T2^5 + 8523*T1^3*T2^5 - 4530*T1^4*T2^5 - 
     4530*T1^5*T2^5 + 8523*T1^6*T2^5 - 2688*T1^7*T2^5 - 3248*T1^8*T2^5 + 
     4240*T1^2*T2^6 - 2688*T1^3*T2^6 - 4637*T1^4*T2^6 + 8523*T1^5*T2^6 - 
     4637*T1^6*T2^6 - 2688*T1^7*T2^6 + 4240*T1^8*T2^6 - 3248*T1^3*T2^7 + 
     5476*T1^4*T2^7 - 2688*T1^5*T2^7 - 2688*T1^6*T2^7 + 5476*T1^7*T2^7 - 
     3248*T1^8*T2^7 + 1216*T1^4*T2^8 - 3248*T1^5*T2^8 + 4240*T1^6*T2^8 - 
     3248*T1^7*T2^8 + 1216*T1^8*T2^8)/(T1^4*T2^4)}, 
 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, 
   (33 - 81*T1 + 144*T1^2 - 190*T1^3 + 205*T1^4 - 190*T1^5 + 144*T1^6 - 
     81*T1^7 + 33*T1^8 - 81*T2 + 120*T1*T2 - 159*T1^2*T2 + 118*T1^3*T2 - 
     39*T1^4*T2 - 39*T1^5*T2 + 118*T1^6*T2 - 159*T1^7*T2 + 120*T1^8*T2 - 
     81*T1^9*T2 + 144*T2^2 - 159*T1*T2^2 + 270*T1^2*T2^2 - 275*T1^3*T2^2 + 
     308*T1^4*T2^2 - 340*T1^5*T2^2 + 308*T1^6*T2^2 - 275*T1^7*T2^2 + 
     270*T1^8*T2^2 - 159*T1^9*T2^2 + 144*T1^10*T2^2 - 190*T2^3 + 
     118*T1*T2^3 - 275*T1^2*T2^3 + 178*T1^3*T2^3 - 165*T1^4*T2^3 + 
     81*T1^5*T2^3 + 81*T1^6*T2^3 - 165*T1^7*T2^3 + 178*T1^8*T2^3 - 
     275*T1^9*T2^3 + 118*T1^10*T2^3 - 190*T1^11*T2^3 + 205*T2^4 - 
     39*T1*T2^4 + 308*T1^2*T2^4 - 165*T1^3*T2^4 + 298*T1^4*T2^4 - 
     281*T1^5*T2^4 + 230*T1^6*T2^4 - 281*T1^7*T2^4 + 298*T1^8*T2^4 - 
     165*T1^9*T2^4 + 308*T1^10*T2^4 - 39*T1^11*T2^4 + 205*T1^12*T2^4 - 
     190*T2^5 - 39*T1*T2^5 - 340*T1^2*T2^5 + 81*T1^3*T2^5 - 281*T1^4*T2^5 + 
     124*T1^5*T2^5 - 12*T1^6*T2^5 - 12*T1^7*T2^5 + 124*T1^8*T2^5 - 
     281*T1^9*T2^5 + 81*T1^10*T2^5 - 340*T1^11*T2^5 - 39*T1^12*T2^5 - 
     190*T1^13*T2^5 + 144*T2^6 + 118*T1*T2^6 + 308*T1^2*T2^6 + 81*T1^3*T2^6 + 
     230*T1^4*T2^6 - 12*T1^5*T2^6 + 43*T1^6*T2^6 - 105*T1^7*T2^6 + 
     43*T1^8*T2^6 - 12*T1^9*T2^6 + 230*T1^10*T2^6 + 81*T1^11*T2^6 + 
     308*T1^12*T2^6 + 118*T1^13*T2^6 + 144*T1^14*T2^6 - 81*T2^7 - 
     159*T1*T2^7 - 275*T1^2*T2^7 - 165*T1^3*T2^7 - 281*T1^4*T2^7 - 
     12*T1^5*T2^7 - 105*T1^6*T2^7 + 74*T1^7*T2^7 + 74*T1^8*T2^7 - 
     105*T1^9*T2^7 - 12*T1^10*T2^7 - 281*T1^11*T2^7 - 165*T1^12*T2^7 - 
     275*T1^13*T2^7 - 159*T1^14*T2^7 - 81*T1^15*T2^7 + 33*T2^8 + 
     120*T1*T2^8 + 270*T1^2*T2^8 + 178*T1^3*T2^8 + 298*T1^4*T2^8 + 
     124*T1^5*T2^8 + 43*T1^6*T2^8 + 74*T1^7*T2^8 - 168*T1^8*T2^8 + 
     74*T1^9*T2^8 + 43*T1^10*T2^8 + 124*T1^11*T2^8 + 298*T1^12*T2^8 + 
     178*T1^13*T2^8 + 270*T1^14*T2^8 + 120*T1^15*T2^8 + 33*T1^16*T2^8 - 
     81*T1*T2^9 - 159*T1^2*T2^9 - 275*T1^3*T2^9 - 165*T1^4*T2^9 - 
     281*T1^5*T2^9 - 12*T1^6*T2^9 - 105*T1^7*T2^9 + 74*T1^8*T2^9 + 
     74*T1^9*T2^9 - 105*T1^10*T2^9 - 12*T1^11*T2^9 - 281*T1^12*T2^9 - 
     165*T1^13*T2^9 - 275*T1^14*T2^9 - 159*T1^15*T2^9 - 81*T1^16*T2^9 + 
     144*T1^2*T2^10 + 118*T1^3*T2^10 + 308*T1^4*T2^10 + 81*T1^5*T2^10 + 
     230*T1^6*T2^10 - 12*T1^7*T2^10 + 43*T1^8*T2^10 - 105*T1^9*T2^10 + 
     43*T1^10*T2^10 - 12*T1^11*T2^10 + 230*T1^12*T2^10 + 81*T1^13*T2^10 + 
     308*T1^14*T2^10 + 118*T1^15*T2^10 + 144*T1^16*T2^10 - 190*T1^3*T2^11 - 
     39*T1^4*T2^11 - 340*T1^5*T2^11 + 81*T1^6*T2^11 - 281*T1^7*T2^11 + 
     124*T1^8*T2^11 - 12*T1^9*T2^11 - 12*T1^10*T2^11 + 124*T1^11*T2^11 - 
     281*T1^12*T2^11 + 81*T1^13*T2^11 - 340*T1^14*T2^11 - 39*T1^15*T2^11 - 
     190*T1^16*T2^11 + 205*T1^4*T2^12 - 39*T1^5*T2^12 + 308*T1^6*T2^12 - 
     165*T1^7*T2^12 + 298*T1^8*T2^12 - 281*T1^9*T2^12 + 230*T1^10*T2^12 - 
     281*T1^11*T2^12 + 298*T1^12*T2^12 - 165*T1^13*T2^12 + 308*T1^14*T2^12 - 
     39*T1^15*T2^12 + 205*T1^16*T2^12 - 190*T1^5*T2^13 + 118*T1^6*T2^13 - 
     275*T1^7*T2^13 + 178*T1^8*T2^13 - 165*T1^9*T2^13 + 81*T1^10*T2^13 + 
     81*T1^11*T2^13 - 165*T1^12*T2^13 + 178*T1^13*T2^13 - 275*T1^14*T2^13 + 
     118*T1^15*T2^13 - 190*T1^16*T2^13 + 144*T1^6*T2^14 - 159*T1^7*T2^14 + 
     270*T1^8*T2^14 - 275*T1^9*T2^14 + 308*T1^10*T2^14 - 340*T1^11*T2^14 + 
     308*T1^12*T2^14 - 275*T1^13*T2^14 + 270*T1^14*T2^14 - 159*T1^15*T2^14 + 
     144*T1^16*T2^14 - 81*T1^7*T2^15 + 120*T1^8*T2^15 - 159*T1^9*T2^15 + 
     118*T1^10*T2^15 - 39*T1^11*T2^15 - 39*T1^12*T2^15 + 118*T1^13*T2^15 - 
     159*T1^14*T2^15 + 120*T1^15*T2^15 - 81*T1^16*T2^15 + 33*T1^8*T2^16 - 
     81*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 - 81*T1^15*T2^16 + 33*T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[11, Alternating, 339] -> 
  {(3 - 7*T + 11*T^2 - 13*T^3 + 11*T^4 - 7*T^5 + 3*T^6)/T^3, 
   (90 - 206*T1 + 322*T1^2 - 380*T1^3 + 322*T1^4 - 206*T1^5 + 90*T1^6 - 
     206*T2 + 268*T1*T2 - 268*T1^2*T2 + 134*T1^3*T2 + 134*T1^4*T2 - 
     268*T1^5*T2 + 268*T1^6*T2 - 206*T1^7*T2 + 322*T2^2 - 268*T1*T2^2 + 
     337*T1^2*T2^2 - 293*T1^3*T2^2 + 175*T1^4*T2^2 - 293*T1^5*T2^2 + 
     337*T1^6*T2^2 - 268*T1^7*T2^2 + 322*T1^8*T2^2 - 380*T2^3 + 134*T1*T2^3 - 
     293*T1^2*T2^3 + 154*T1^3*T2^3 + 32*T1^4*T2^3 + 32*T1^5*T2^3 + 
     154*T1^6*T2^3 - 293*T1^7*T2^3 + 134*T1^8*T2^3 - 380*T1^9*T2^3 + 
     322*T2^4 + 134*T1*T2^4 + 175*T1^2*T2^4 + 32*T1^3*T2^4 - 54*T1^4*T2^4 - 
     148*T1^5*T2^4 - 54*T1^6*T2^4 + 32*T1^7*T2^4 + 175*T1^8*T2^4 + 
     134*T1^9*T2^4 + 322*T1^10*T2^4 - 206*T2^5 - 268*T1*T2^5 - 
     293*T1^2*T2^5 + 32*T1^3*T2^5 - 148*T1^4*T2^5 + 208*T1^5*T2^5 + 
     208*T1^6*T2^5 - 148*T1^7*T2^5 + 32*T1^8*T2^5 - 293*T1^9*T2^5 - 
     268*T1^10*T2^5 - 206*T1^11*T2^5 + 90*T2^6 + 268*T1*T2^6 + 
     337*T1^2*T2^6 + 154*T1^3*T2^6 - 54*T1^4*T2^6 + 208*T1^5*T2^6 - 
     552*T1^6*T2^6 + 208*T1^7*T2^6 - 54*T1^8*T2^6 + 154*T1^9*T2^6 + 
     337*T1^10*T2^6 + 268*T1^11*T2^6 + 90*T1^12*T2^6 - 206*T1*T2^7 - 
     268*T1^2*T2^7 - 293*T1^3*T2^7 + 32*T1^4*T2^7 - 148*T1^5*T2^7 + 
     208*T1^6*T2^7 + 208*T1^7*T2^7 - 148*T1^8*T2^7 + 32*T1^9*T2^7 - 
     293*T1^10*T2^7 - 268*T1^11*T2^7 - 206*T1^12*T2^7 + 322*T1^2*T2^8 + 
     134*T1^3*T2^8 + 175*T1^4*T2^8 + 32*T1^5*T2^8 - 54*T1^6*T2^8 - 
     148*T1^7*T2^8 - 54*T1^8*T2^8 + 32*T1^9*T2^8 + 175*T1^10*T2^8 + 
     134*T1^11*T2^8 + 322*T1^12*T2^8 - 380*T1^3*T2^9 + 134*T1^4*T2^9 - 
     293*T1^5*T2^9 + 154*T1^6*T2^9 + 32*T1^7*T2^9 + 32*T1^8*T2^9 + 
     154*T1^9*T2^9 - 293*T1^10*T2^9 + 134*T1^11*T2^9 - 380*T1^12*T2^9 + 
     322*T1^4*T2^10 - 268*T1^5*T2^10 + 337*T1^6*T2^10 - 293*T1^7*T2^10 + 
     175*T1^8*T2^10 - 293*T1^9*T2^10 + 337*T1^10*T2^10 - 268*T1^11*T2^10 + 
     322*T1^12*T2^10 - 206*T1^5*T2^11 + 268*T1^6*T2^11 - 268*T1^7*T2^11 + 
     134*T1^8*T2^11 + 134*T1^9*T2^11 - 268*T1^10*T2^11 + 268*T1^11*T2^11 - 
     206*T1^12*T2^11 + 90*T1^6*T2^12 - 206*T1^7*T2^12 + 322*T1^8*T2^12 - 
     380*T1^9*T2^12 + 322*T1^10*T2^12 - 206*T1^11*T2^12 + 90*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 340] -> 
  {((1 - T + T^2)*(4 - 7*T + 7*T^2 - 7*T^3 + 4*T^4))/T^3, 
   (2*(104 - 280*T1 + 452*T1^2 - 524*T1^3 + 452*T1^4 - 280*T1^5 + 104*T1^6 - 
      280*T2 + 480*T1*T2 - 474*T1^2*T2 + 200*T1^3*T2 + 200*T1^4*T2 - 
      474*T1^5*T2 + 480*T1^6*T2 - 280*T1^7*T2 + 452*T2^2 - 474*T1*T2^2 + 
      333*T1^2*T2^2 - 64*T1^3*T2^2 - 73*T1^4*T2^2 - 64*T1^5*T2^2 + 
      333*T1^6*T2^2 - 474*T1^7*T2^2 + 452*T1^8*T2^2 - 524*T2^3 + 
      200*T1*T2^3 - 64*T1^2*T2^3 - 110*T1^3*T2^3 + 74*T1^4*T2^3 + 
      74*T1^5*T2^3 - 110*T1^6*T2^3 - 64*T1^7*T2^3 + 200*T1^8*T2^3 - 
      524*T1^9*T2^3 + 452*T2^4 + 200*T1*T2^4 - 73*T1^2*T2^4 + 74*T1^3*T2^4 + 
      125*T1^4*T2^4 - 219*T1^5*T2^4 + 125*T1^6*T2^4 + 74*T1^7*T2^4 - 
      73*T1^8*T2^4 + 200*T1^9*T2^4 + 452*T1^10*T2^4 - 280*T2^5 - 
      474*T1*T2^5 - 64*T1^2*T2^5 + 74*T1^3*T2^5 - 219*T1^4*T2^5 + 
      98*T1^5*T2^5 + 98*T1^6*T2^5 - 219*T1^7*T2^5 + 74*T1^8*T2^5 - 
      64*T1^9*T2^5 - 474*T1^10*T2^5 - 280*T1^11*T2^5 + 104*T2^6 + 
      480*T1*T2^6 + 333*T1^2*T2^6 - 110*T1^3*T2^6 + 125*T1^4*T2^6 + 
      98*T1^5*T2^6 - 180*T1^6*T2^6 + 98*T1^7*T2^6 + 125*T1^8*T2^6 - 
      110*T1^9*T2^6 + 333*T1^10*T2^6 + 480*T1^11*T2^6 + 104*T1^12*T2^6 - 
      280*T1*T2^7 - 474*T1^2*T2^7 - 64*T1^3*T2^7 + 74*T1^4*T2^7 - 
      219*T1^5*T2^7 + 98*T1^6*T2^7 + 98*T1^7*T2^7 - 219*T1^8*T2^7 + 
      74*T1^9*T2^7 - 64*T1^10*T2^7 - 474*T1^11*T2^7 - 280*T1^12*T2^7 + 
      452*T1^2*T2^8 + 200*T1^3*T2^8 - 73*T1^4*T2^8 + 74*T1^5*T2^8 + 
      125*T1^6*T2^8 - 219*T1^7*T2^8 + 125*T1^8*T2^8 + 74*T1^9*T2^8 - 
      73*T1^10*T2^8 + 200*T1^11*T2^8 + 452*T1^12*T2^8 - 524*T1^3*T2^9 + 
      200*T1^4*T2^9 - 64*T1^5*T2^9 - 110*T1^6*T2^9 + 74*T1^7*T2^9 + 
      74*T1^8*T2^9 - 110*T1^9*T2^9 - 64*T1^10*T2^9 + 200*T1^11*T2^9 - 
      524*T1^12*T2^9 + 452*T1^4*T2^10 - 474*T1^5*T2^10 + 333*T1^6*T2^10 - 
      64*T1^7*T2^10 - 73*T1^8*T2^10 - 64*T1^9*T2^10 + 333*T1^10*T2^10 - 
      474*T1^11*T2^10 + 452*T1^12*T2^10 - 280*T1^5*T2^11 + 480*T1^6*T2^11 - 
      474*T1^7*T2^11 + 200*T1^8*T2^11 + 200*T1^9*T2^11 - 474*T1^10*T2^11 + 
      480*T1^11*T2^11 - 280*T1^12*T2^11 + 104*T1^6*T2^12 - 280*T1^7*T2^12 + 
      452*T1^8*T2^12 - 524*T1^9*T2^12 + 452*T1^10*T2^12 - 280*T1^11*T2^12 + 
      104*T1^12*T2^12))/(T1^6*T2^6)}, Knot[11, Alternating, 341] -> 
  {(6 - 15*T + 19*T^2 - 15*T^3 + 6*T^4)/T^2, 
   (531 - 1299*T1 + 1637*T1^2 - 1299*T1^3 + 531*T1^4 - 1299*T2 + 1890*T1*T2 - 
     834*T1^2*T2 - 834*T1^3*T2 + 1890*T1^4*T2 - 1299*T1^5*T2 + 1637*T2^2 - 
     834*T1*T2^2 - 1353*T1^2*T2^2 + 2261*T1^3*T2^2 - 1353*T1^4*T2^2 - 
     834*T1^5*T2^2 + 1637*T1^6*T2^2 - 1299*T2^3 - 834*T1*T2^3 + 
     2261*T1^2*T2^3 - 1044*T1^3*T2^3 - 1044*T1^4*T2^3 + 2261*T1^5*T2^3 - 
     834*T1^6*T2^3 - 1299*T1^7*T2^3 + 531*T2^4 + 1890*T1*T2^4 - 
     1353*T1^2*T2^4 - 1044*T1^3*T2^4 + 2064*T1^4*T2^4 - 1044*T1^5*T2^4 - 
     1353*T1^6*T2^4 + 1890*T1^7*T2^4 + 531*T1^8*T2^4 - 1299*T1*T2^5 - 
     834*T1^2*T2^5 + 2261*T1^3*T2^5 - 1044*T1^4*T2^5 - 1044*T1^5*T2^5 + 
     2261*T1^6*T2^5 - 834*T1^7*T2^5 - 1299*T1^8*T2^5 + 1637*T1^2*T2^6 - 
     834*T1^3*T2^6 - 1353*T1^4*T2^6 + 2261*T1^5*T2^6 - 1353*T1^6*T2^6 - 
     834*T1^7*T2^6 + 1637*T1^8*T2^6 - 1299*T1^3*T2^7 + 1890*T1^4*T2^7 - 
     834*T1^5*T2^7 - 834*T1^6*T2^7 + 1890*T1^7*T2^7 - 1299*T1^8*T2^7 + 
     531*T1^4*T2^8 - 1299*T1^5*T2^8 + 1637*T1^6*T2^8 - 1299*T1^7*T2^8 + 
     531*T1^8*T2^8)/(T1^4*T2^4)}, Knot[11, Alternating, 342] -> 
  {(4 - 7*T + 7*T^2 - 7*T^3 + 4*T^4)/T^2, 
   (164 - 282*T1 + 282*T1^2 - 282*T1^3 + 164*T1^4 - 282*T2 + 204*T1*T2 + 
     204*T1^4*T2 - 282*T1^5*T2 + 282*T2^2 - 135*T1^2*T2^2 - 21*T1^3*T2^2 - 
     135*T1^4*T2^2 + 282*T1^6*T2^2 - 282*T2^3 - 21*T1^2*T2^3 + 
     120*T1^3*T2^3 + 120*T1^4*T2^3 - 21*T1^5*T2^3 - 282*T1^7*T2^3 + 
     164*T2^4 + 204*T1*T2^4 - 135*T1^2*T2^4 + 120*T1^3*T2^4 - 300*T1^4*T2^4 + 
     120*T1^5*T2^4 - 135*T1^6*T2^4 + 204*T1^7*T2^4 + 164*T1^8*T2^4 - 
     282*T1*T2^5 - 21*T1^3*T2^5 + 120*T1^4*T2^5 + 120*T1^5*T2^5 - 
     21*T1^6*T2^5 - 282*T1^8*T2^5 + 282*T1^2*T2^6 - 135*T1^4*T2^6 - 
     21*T1^5*T2^6 - 135*T1^6*T2^6 + 282*T1^8*T2^6 - 282*T1^3*T2^7 + 
     204*T1^4*T2^7 + 204*T1^7*T2^7 - 282*T1^8*T2^7 + 164*T1^4*T2^8 - 
     282*T1^5*T2^8 + 282*T1^6*T2^8 - 282*T1^7*T2^8 + 164*T1^8*T2^8)/
    (T1^4*T2^4)}, Knot[11, Alternating, 343] -> 
  {(8 - 15*T + 8*T^2)/T, (8*(108 - 199*T1 + 108*T1^2 - 199*T2 + 168*T1*T2 + 
      168*T1^2*T2 - 199*T1^3*T2 + 108*T2^2 + 168*T1*T2^2 - 462*T1^2*T2^2 + 
      168*T1^3*T2^2 + 108*T1^4*T2^2 - 199*T1*T2^3 + 168*T1^2*T2^3 + 
      168*T1^3*T2^3 - 199*T1^4*T2^3 + 108*T1^2*T2^4 - 199*T1^3*T2^4 + 
      108*T1^4*T2^4))/(T1^2*T2^2)}, Knot[11, Alternating, 344] -> 
  {-((3 - 15*T + 29*T^2 - 35*T^3 + 29*T^4 - 15*T^5 + 3*T^6)/T^3), 
   -((57 - 282*T1 + 538*T1^2 - 647*T1^3 + 538*T1^4 - 282*T1^5 + 57*T1^6 - 
      282*T2 + 1116*T1*T2 - 1277*T1^2*T2 + 545*T1^3*T2 + 545*T1^4*T2 - 
      1277*T1^5*T2 + 1116*T1^6*T2 - 282*T1^7*T2 + 538*T2^2 - 1277*T1*T2^2 - 
      1238*T1^2*T2^2 + 4439*T1^3*T2^2 - 5784*T1^4*T2^2 + 4439*T1^5*T2^2 - 
      1238*T1^6*T2^2 - 1277*T1^7*T2^2 + 538*T1^8*T2^2 - 647*T2^3 + 
      545*T1*T2^3 + 4439*T1^2*T2^3 - 5748*T1^3*T2^3 + 2507*T1^4*T2^3 + 
      2507*T1^5*T2^3 - 5748*T1^6*T2^3 + 4439*T1^7*T2^3 + 545*T1^8*T2^3 - 
      647*T1^9*T2^3 + 538*T2^4 + 545*T1*T2^4 - 5784*T1^2*T2^4 + 
      2507*T1^3*T2^4 + 2882*T1^4*T2^4 - 5316*T1^5*T2^4 + 2882*T1^6*T2^4 + 
      2507*T1^7*T2^4 - 5784*T1^8*T2^4 + 545*T1^9*T2^4 + 538*T1^10*T2^4 - 
      282*T2^5 - 1277*T1*T2^5 + 4439*T1^2*T2^5 + 2507*T1^3*T2^5 - 
      5316*T1^4*T2^5 + 2644*T1^5*T2^5 + 2644*T1^6*T2^5 - 5316*T1^7*T2^5 + 
      2507*T1^8*T2^5 + 4439*T1^9*T2^5 - 1277*T1^10*T2^5 - 282*T1^11*T2^5 + 
      57*T2^6 + 1116*T1*T2^6 - 1238*T1^2*T2^6 - 5748*T1^3*T2^6 + 
      2882*T1^4*T2^6 + 2644*T1^5*T2^6 - 5436*T1^6*T2^6 + 2644*T1^7*T2^6 + 
      2882*T1^8*T2^6 - 5748*T1^9*T2^6 - 1238*T1^10*T2^6 + 1116*T1^11*T2^6 + 
      57*T1^12*T2^6 - 282*T1*T2^7 - 1277*T1^2*T2^7 + 4439*T1^3*T2^7 + 
      2507*T1^4*T2^7 - 5316*T1^5*T2^7 + 2644*T1^6*T2^7 + 2644*T1^7*T2^7 - 
      5316*T1^8*T2^7 + 2507*T1^9*T2^7 + 4439*T1^10*T2^7 - 1277*T1^11*T2^7 - 
      282*T1^12*T2^7 + 538*T1^2*T2^8 + 545*T1^3*T2^8 - 5784*T1^4*T2^8 + 
      2507*T1^5*T2^8 + 2882*T1^6*T2^8 - 5316*T1^7*T2^8 + 2882*T1^8*T2^8 + 
      2507*T1^9*T2^8 - 5784*T1^10*T2^8 + 545*T1^11*T2^8 + 538*T1^12*T2^8 - 
      647*T1^3*T2^9 + 545*T1^4*T2^9 + 4439*T1^5*T2^9 - 5748*T1^6*T2^9 + 
      2507*T1^7*T2^9 + 2507*T1^8*T2^9 - 5748*T1^9*T2^9 + 4439*T1^10*T2^9 + 
      545*T1^11*T2^9 - 647*T1^12*T2^9 + 538*T1^4*T2^10 - 1277*T1^5*T2^10 - 
      1238*T1^6*T2^10 + 4439*T1^7*T2^10 - 5784*T1^8*T2^10 + 4439*T1^9*T2^10 - 
      1238*T1^10*T2^10 - 1277*T1^11*T2^10 + 538*T1^12*T2^10 - 
      282*T1^5*T2^11 + 1116*T1^6*T2^11 - 1277*T1^7*T2^11 + 545*T1^8*T2^11 + 
      545*T1^9*T2^11 - 1277*T1^10*T2^11 + 1116*T1^11*T2^11 - 
      282*T1^12*T2^11 + 57*T1^6*T2^12 - 282*T1^7*T2^12 + 538*T1^8*T2^12 - 
      647*T1^9*T2^12 + 538*T1^10*T2^12 - 282*T1^11*T2^12 + 57*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[11, Alternating, 345] -> 
  {-((5 - 23*T + 35*T^2 - 23*T^3 + 5*T^4)/T^2), 
   -((165 - 754*T1 + 1137*T1^2 - 754*T1^3 + 165*T1^4 - 754*T2 + 2696*T1*T2 - 
      1758*T1^2*T2 - 1758*T1^3*T2 + 2696*T1^4*T2 - 754*T1^5*T2 + 1137*T2^2 - 
      1758*T1*T2^2 - 6633*T1^2*T2^2 + 13159*T1^3*T2^2 - 6633*T1^4*T2^2 - 
      1758*T1^5*T2^2 + 1137*T1^6*T2^2 - 754*T2^3 - 1758*T1*T2^3 + 
      13159*T1^2*T2^3 - 9284*T1^3*T2^3 - 9284*T1^4*T2^3 + 13159*T1^5*T2^3 - 
      1758*T1^6*T2^3 - 754*T1^7*T2^3 + 165*T2^4 + 2696*T1*T2^4 - 
      6633*T1^2*T2^4 - 9284*T1^3*T2^4 + 22704*T1^4*T2^4 - 9284*T1^5*T2^4 - 
      6633*T1^6*T2^4 + 2696*T1^7*T2^4 + 165*T1^8*T2^4 - 754*T1*T2^5 - 
      1758*T1^2*T2^5 + 13159*T1^3*T2^5 - 9284*T1^4*T2^5 - 9284*T1^5*T2^5 + 
      13159*T1^6*T2^5 - 1758*T1^7*T2^5 - 754*T1^8*T2^5 + 1137*T1^2*T2^6 - 
      1758*T1^3*T2^6 - 6633*T1^4*T2^6 + 13159*T1^5*T2^6 - 6633*T1^6*T2^6 - 
      1758*T1^7*T2^6 + 1137*T1^8*T2^6 - 754*T1^3*T2^7 + 2696*T1^4*T2^7 - 
      1758*T1^5*T2^7 - 1758*T1^6*T2^7 + 2696*T1^7*T2^7 - 754*T1^8*T2^7 + 
      165*T1^4*T2^8 - 754*T1^5*T2^8 + 1137*T1^6*T2^8 - 754*T1^7*T2^8 + 
      165*T1^8*T2^8)/(T1^4*T2^4))}, 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, 
   (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 + 40*T1*T2 - 70*T1^2*T2 + 60*T1^3*T2 - 30*T1^4*T2 - 
     30*T1^5*T2 + 60*T1^6*T2 - 70*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     24*T2^2 - 70*T1*T2^2 + 60*T1^2*T2^2 + 56*T1^3*T2^2 - 127*T1^4*T2^2 + 
     206*T1^5*T2^2 - 127*T1^6*T2^2 + 56*T1^7*T2^2 + 60*T1^8*T2^2 - 
     70*T1^9*T2^2 + 24*T1^10*T2^2 - 36*T2^3 + 60*T1*T2^3 + 56*T1^2*T2^3 - 
     252*T1^3*T2^3 + 189*T1^4*T2^3 - 149*T1^5*T2^3 - 149*T1^6*T2^3 + 
     189*T1^7*T2^3 - 252*T1^8*T2^3 + 56*T1^9*T2^3 + 60*T1^10*T2^3 - 
     36*T1^11*T2^3 + 42*T2^4 - 30*T1*T2^4 - 127*T1^2*T2^4 + 189*T1^3*T2^4 + 
     175*T1^4*T2^4 - 261*T1^5*T2^4 + 569*T1^6*T2^4 - 261*T1^7*T2^4 + 
     175*T1^8*T2^4 + 189*T1^9*T2^4 - 127*T1^10*T2^4 - 30*T1^11*T2^4 + 
     42*T1^12*T2^4 - 36*T2^5 - 30*T1*T2^5 + 206*T1^2*T2^5 - 149*T1^3*T2^5 - 
     261*T1^4*T2^5 + 96*T1^5*T2^5 - 267*T1^6*T2^5 - 267*T1^7*T2^5 + 
     96*T1^8*T2^5 - 261*T1^9*T2^5 - 149*T1^10*T2^5 + 206*T1^11*T2^5 - 
     30*T1^12*T2^5 - 36*T1^13*T2^5 + 24*T2^6 + 60*T1*T2^6 - 127*T1^2*T2^6 - 
     149*T1^3*T2^6 + 569*T1^4*T2^6 - 267*T1^5*T2^6 + 439*T1^6*T2^6 + 
     87*T1^7*T2^6 + 439*T1^8*T2^6 - 267*T1^9*T2^6 + 569*T1^10*T2^6 - 
     149*T1^11*T2^6 - 127*T1^12*T2^6 + 60*T1^13*T2^6 + 24*T1^14*T2^6 - 
     10*T2^7 - 70*T1*T2^7 + 56*T1^2*T2^7 + 189*T1^3*T2^7 - 261*T1^4*T2^7 - 
     267*T1^5*T2^7 + 87*T1^6*T2^7 - 412*T1^7*T2^7 - 412*T1^8*T2^7 + 
     87*T1^9*T2^7 - 267*T1^10*T2^7 - 261*T1^11*T2^7 + 189*T1^12*T2^7 + 
     56*T1^13*T2^7 - 70*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 + 
     60*T1^2*T2^8 - 252*T1^3*T2^8 + 175*T1^4*T2^8 + 96*T1^5*T2^8 + 
     439*T1^6*T2^8 - 412*T1^7*T2^8 + 1140*T1^8*T2^8 - 412*T1^9*T2^8 + 
     439*T1^10*T2^8 + 96*T1^11*T2^8 + 175*T1^12*T2^8 - 252*T1^13*T2^8 + 
     60*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     70*T1^2*T2^9 + 56*T1^3*T2^9 + 189*T1^4*T2^9 - 261*T1^5*T2^9 - 
     267*T1^6*T2^9 + 87*T1^7*T2^9 - 412*T1^8*T2^9 - 412*T1^9*T2^9 + 
     87*T1^10*T2^9 - 267*T1^11*T2^9 - 261*T1^12*T2^9 + 189*T1^13*T2^9 + 
     56*T1^14*T2^9 - 70*T1^15*T2^9 - 10*T1^16*T2^9 + 24*T1^2*T2^10 + 
     60*T1^3*T2^10 - 127*T1^4*T2^10 - 149*T1^5*T2^10 + 569*T1^6*T2^10 - 
     267*T1^7*T2^10 + 439*T1^8*T2^10 + 87*T1^9*T2^10 + 439*T1^10*T2^10 - 
     267*T1^11*T2^10 + 569*T1^12*T2^10 - 149*T1^13*T2^10 - 127*T1^14*T2^10 + 
     60*T1^15*T2^10 + 24*T1^16*T2^10 - 36*T1^3*T2^11 - 30*T1^4*T2^11 + 
     206*T1^5*T2^11 - 149*T1^6*T2^11 - 261*T1^7*T2^11 + 96*T1^8*T2^11 - 
     267*T1^9*T2^11 - 267*T1^10*T2^11 + 96*T1^11*T2^11 - 261*T1^12*T2^11 - 
     149*T1^13*T2^11 + 206*T1^14*T2^11 - 30*T1^15*T2^11 - 36*T1^16*T2^11 + 
     42*T1^4*T2^12 - 30*T1^5*T2^12 - 127*T1^6*T2^12 + 189*T1^7*T2^12 + 
     175*T1^8*T2^12 - 261*T1^9*T2^12 + 569*T1^10*T2^12 - 261*T1^11*T2^12 + 
     175*T1^12*T2^12 + 189*T1^13*T2^12 - 127*T1^14*T2^12 - 30*T1^15*T2^12 + 
     42*T1^16*T2^12 - 36*T1^5*T2^13 + 60*T1^6*T2^13 + 56*T1^7*T2^13 - 
     252*T1^8*T2^13 + 189*T1^9*T2^13 - 149*T1^10*T2^13 - 149*T1^11*T2^13 + 
     189*T1^12*T2^13 - 252*T1^13*T2^13 + 56*T1^14*T2^13 + 60*T1^15*T2^13 - 
     36*T1^16*T2^13 + 24*T1^6*T2^14 - 70*T1^7*T2^14 + 60*T1^8*T2^14 + 
     56*T1^9*T2^14 - 127*T1^10*T2^14 + 206*T1^11*T2^14 - 127*T1^12*T2^14 + 
     56*T1^13*T2^14 + 60*T1^14*T2^14 - 70*T1^15*T2^14 + 24*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 70*T1^9*T2^15 + 60*T1^10*T2^15 - 
     30*T1^11*T2^15 - 30*T1^12*T2^15 + 60*T1^13*T2^15 - 70*T1^14*T2^15 + 
     40*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)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 347] -> 
  {((1 - T + T^2)*(2 - 9*T + 15*T^2 - 9*T^3 + 2*T^4))/T^3, 
   (9 - 49*T1 + 116*T1^2 - 147*T1^3 + 116*T1^4 - 49*T1^5 + 9*T1^6 - 49*T2 + 
     218*T1*T2 - 365*T1^2*T2 + 169*T1^3*T2 + 169*T1^4*T2 - 365*T1^5*T2 + 
     218*T1^6*T2 - 49*T1^7*T2 + 116*T2^2 - 365*T1*T2^2 + 162*T1^2*T2^2 + 
     898*T1^3*T2^2 - 1366*T1^4*T2^2 + 898*T1^5*T2^2 + 162*T1^6*T2^2 - 
     365*T1^7*T2^2 + 116*T1^8*T2^2 - 147*T2^3 + 169*T1*T2^3 + 898*T1^2*T2^3 - 
     2420*T1^3*T2^3 + 1143*T1^4*T2^3 + 1143*T1^5*T2^3 - 2420*T1^6*T2^3 + 
     898*T1^7*T2^3 + 169*T1^8*T2^3 - 147*T1^9*T2^3 + 116*T2^4 + 169*T1*T2^4 - 
     1366*T1^2*T2^4 + 1143*T1^3*T2^4 + 3300*T1^4*T2^4 - 5392*T1^5*T2^4 + 
     3300*T1^6*T2^4 + 1143*T1^7*T2^4 - 1366*T1^8*T2^4 + 169*T1^9*T2^4 + 
     116*T1^10*T2^4 - 49*T2^5 - 365*T1*T2^5 + 898*T1^2*T2^5 + 
     1143*T1^3*T2^5 - 5392*T1^4*T2^5 + 2854*T1^5*T2^5 + 2854*T1^6*T2^5 - 
     5392*T1^7*T2^5 + 1143*T1^8*T2^5 + 898*T1^9*T2^5 - 365*T1^10*T2^5 - 
     49*T1^11*T2^5 + 9*T2^6 + 218*T1*T2^6 + 162*T1^2*T2^6 - 2420*T1^3*T2^6 + 
     3300*T1^4*T2^6 + 2854*T1^5*T2^6 - 6252*T1^6*T2^6 + 2854*T1^7*T2^6 + 
     3300*T1^8*T2^6 - 2420*T1^9*T2^6 + 162*T1^10*T2^6 + 218*T1^11*T2^6 + 
     9*T1^12*T2^6 - 49*T1*T2^7 - 365*T1^2*T2^7 + 898*T1^3*T2^7 + 
     1143*T1^4*T2^7 - 5392*T1^5*T2^7 + 2854*T1^6*T2^7 + 2854*T1^7*T2^7 - 
     5392*T1^8*T2^7 + 1143*T1^9*T2^7 + 898*T1^10*T2^7 - 365*T1^11*T2^7 - 
     49*T1^12*T2^7 + 116*T1^2*T2^8 + 169*T1^3*T2^8 - 1366*T1^4*T2^8 + 
     1143*T1^5*T2^8 + 3300*T1^6*T2^8 - 5392*T1^7*T2^8 + 3300*T1^8*T2^8 + 
     1143*T1^9*T2^8 - 1366*T1^10*T2^8 + 169*T1^11*T2^8 + 116*T1^12*T2^8 - 
     147*T1^3*T2^9 + 169*T1^4*T2^9 + 898*T1^5*T2^9 - 2420*T1^6*T2^9 + 
     1143*T1^7*T2^9 + 1143*T1^8*T2^9 - 2420*T1^9*T2^9 + 898*T1^10*T2^9 + 
     169*T1^11*T2^9 - 147*T1^12*T2^9 + 116*T1^4*T2^10 - 365*T1^5*T2^10 + 
     162*T1^6*T2^10 + 898*T1^7*T2^10 - 1366*T1^8*T2^10 + 898*T1^9*T2^10 + 
     162*T1^10*T2^10 - 365*T1^11*T2^10 + 116*T1^12*T2^10 - 49*T1^5*T2^11 + 
     218*T1^6*T2^11 - 365*T1^7*T2^11 + 169*T1^8*T2^11 + 169*T1^9*T2^11 - 
     365*T1^10*T2^11 + 218*T1^11*T2^11 - 49*T1^12*T2^11 + 9*T1^6*T2^12 - 
     49*T1^7*T2^12 + 116*T1^8*T2^12 - 147*T1^9*T2^12 + 116*T1^10*T2^12 - 
     49*T1^11*T2^12 + 9*T1^12*T2^12)/(T1^6*T2^6)}, 
 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, 
   (2 - 14*T1 + 38*T1^2 - 58*T1^3 + 66*T1^4 - 58*T1^5 + 38*T1^6 - 14*T1^7 + 
     2*T1^8 - 14*T2 + 84*T1*T2 - 168*T1^2*T2 + 140*T1^3*T2 - 56*T1^4*T2 - 
     56*T1^5*T2 + 140*T1^6*T2 - 168*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
     38*T2^2 - 168*T1*T2^2 + 76*T1^2*T2^2 + 487*T1^3*T2^2 - 860*T1^4*T2^2 + 
     1024*T1^5*T2^2 - 860*T1^6*T2^2 + 487*T1^7*T2^2 + 76*T1^8*T2^2 - 
     168*T1^9*T2^2 + 38*T1^10*T2^2 - 58*T2^3 + 140*T1*T2^3 + 487*T1^2*T2^3 - 
     1560*T1^3*T2^3 + 1186*T1^4*T2^3 - 497*T1^5*T2^3 - 497*T1^6*T2^3 + 
     1186*T1^7*T2^3 - 1560*T1^8*T2^3 + 487*T1^9*T2^3 + 140*T1^10*T2^3 - 
     58*T1^11*T2^3 + 66*T2^4 - 56*T1*T2^4 - 860*T1^2*T2^4 + 1186*T1^3*T2^4 + 
     1261*T1^4*T2^4 - 2406*T1^5*T2^4 + 3069*T1^6*T2^4 - 2406*T1^7*T2^4 + 
     1261*T1^8*T2^4 + 1186*T1^9*T2^4 - 860*T1^10*T2^4 - 56*T1^11*T2^4 + 
     66*T1^12*T2^4 - 58*T2^5 - 56*T1*T2^5 + 1024*T1^2*T2^5 - 497*T1^3*T2^5 - 
     2406*T1^4*T2^5 + 1506*T1^5*T2^5 - 816*T1^6*T2^5 - 816*T1^7*T2^5 + 
     1506*T1^8*T2^5 - 2406*T1^9*T2^5 - 497*T1^10*T2^5 + 1024*T1^11*T2^5 - 
     56*T1^12*T2^5 - 58*T1^13*T2^5 + 38*T2^6 + 140*T1*T2^6 - 860*T1^2*T2^6 - 
     497*T1^3*T2^6 + 3069*T1^4*T2^6 - 816*T1^5*T2^6 + 851*T1^6*T2^6 - 
     87*T1^7*T2^6 + 851*T1^8*T2^6 - 816*T1^9*T2^6 + 3069*T1^10*T2^6 - 
     497*T1^11*T2^6 - 860*T1^12*T2^6 + 140*T1^13*T2^6 + 38*T1^14*T2^6 - 
     14*T2^7 - 168*T1*T2^7 + 487*T1^2*T2^7 + 1186*T1^3*T2^7 - 
     2406*T1^4*T2^7 - 816*T1^5*T2^7 - 87*T1^6*T2^7 - 478*T1^7*T2^7 - 
     478*T1^8*T2^7 - 87*T1^9*T2^7 - 816*T1^10*T2^7 - 2406*T1^11*T2^7 + 
     1186*T1^12*T2^7 + 487*T1^13*T2^7 - 168*T1^14*T2^7 - 14*T1^15*T2^7 + 
     2*T2^8 + 84*T1*T2^8 + 76*T1^2*T2^8 - 1560*T1^3*T2^8 + 1261*T1^4*T2^8 + 
     1506*T1^5*T2^8 + 851*T1^6*T2^8 - 478*T1^7*T2^8 + 1404*T1^8*T2^8 - 
     478*T1^9*T2^8 + 851*T1^10*T2^8 + 1506*T1^11*T2^8 + 1261*T1^12*T2^8 - 
     1560*T1^13*T2^8 + 76*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 
     14*T1*T2^9 - 168*T1^2*T2^9 + 487*T1^3*T2^9 + 1186*T1^4*T2^9 - 
     2406*T1^5*T2^9 - 816*T1^6*T2^9 - 87*T1^7*T2^9 - 478*T1^8*T2^9 - 
     478*T1^9*T2^9 - 87*T1^10*T2^9 - 816*T1^11*T2^9 - 2406*T1^12*T2^9 + 
     1186*T1^13*T2^9 + 487*T1^14*T2^9 - 168*T1^15*T2^9 - 14*T1^16*T2^9 + 
     38*T1^2*T2^10 + 140*T1^3*T2^10 - 860*T1^4*T2^10 - 497*T1^5*T2^10 + 
     3069*T1^6*T2^10 - 816*T1^7*T2^10 + 851*T1^8*T2^10 - 87*T1^9*T2^10 + 
     851*T1^10*T2^10 - 816*T1^11*T2^10 + 3069*T1^12*T2^10 - 497*T1^13*T2^10 - 
     860*T1^14*T2^10 + 140*T1^15*T2^10 + 38*T1^16*T2^10 - 58*T1^3*T2^11 - 
     56*T1^4*T2^11 + 1024*T1^5*T2^11 - 497*T1^6*T2^11 - 2406*T1^7*T2^11 + 
     1506*T1^8*T2^11 - 816*T1^9*T2^11 - 816*T1^10*T2^11 + 1506*T1^11*T2^11 - 
     2406*T1^12*T2^11 - 497*T1^13*T2^11 + 1024*T1^14*T2^11 - 56*T1^15*T2^11 - 
     58*T1^16*T2^11 + 66*T1^4*T2^12 - 56*T1^5*T2^12 - 860*T1^6*T2^12 + 
     1186*T1^7*T2^12 + 1261*T1^8*T2^12 - 2406*T1^9*T2^12 + 3069*T1^10*T2^12 - 
     2406*T1^11*T2^12 + 1261*T1^12*T2^12 + 1186*T1^13*T2^12 - 
     860*T1^14*T2^12 - 56*T1^15*T2^12 + 66*T1^16*T2^12 - 58*T1^5*T2^13 + 
     140*T1^6*T2^13 + 487*T1^7*T2^13 - 1560*T1^8*T2^13 + 1186*T1^9*T2^13 - 
     497*T1^10*T2^13 - 497*T1^11*T2^13 + 1186*T1^12*T2^13 - 
     1560*T1^13*T2^13 + 487*T1^14*T2^13 + 140*T1^15*T2^13 - 58*T1^16*T2^13 + 
     38*T1^6*T2^14 - 168*T1^7*T2^14 + 76*T1^8*T2^14 + 487*T1^9*T2^14 - 
     860*T1^10*T2^14 + 1024*T1^11*T2^14 - 860*T1^12*T2^14 + 487*T1^13*T2^14 + 
     76*T1^14*T2^14 - 168*T1^15*T2^14 + 38*T1^16*T2^14 - 14*T1^7*T2^15 + 
     84*T1^8*T2^15 - 168*T1^9*T2^15 + 140*T1^10*T2^15 - 56*T1^11*T2^15 - 
     56*T1^12*T2^15 + 140*T1^13*T2^15 - 168*T1^14*T2^15 + 84*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)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 349] -> 
  {((1 - 3*T + T^2)*(2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4))/T^3, 
   (9 - 63*T1 + 166*T1^2 - 219*T1^3 + 166*T1^4 - 63*T1^5 + 9*T1^6 - 63*T2 + 
     378*T1*T2 - 721*T1^2*T2 + 371*T1^3*T2 + 371*T1^4*T2 - 721*T1^5*T2 + 
     378*T1^6*T2 - 63*T1^7*T2 + 166*T2^2 - 721*T1*T2^2 + 149*T1^2*T2^2 + 
     2896*T1^3*T2^2 - 4557*T1^4*T2^2 + 2896*T1^5*T2^2 + 149*T1^6*T2^2 - 
     721*T1^7*T2^2 + 166*T1^8*T2^2 - 219*T2^3 + 371*T1*T2^3 + 
     2896*T1^2*T2^3 - 8068*T1^3*T2^3 + 4285*T1^4*T2^3 + 4285*T1^5*T2^3 - 
     8068*T1^6*T2^3 + 2896*T1^7*T2^3 + 371*T1^8*T2^3 - 219*T1^9*T2^3 + 
     166*T2^4 + 371*T1*T2^4 - 4557*T1^2*T2^4 + 4285*T1^3*T2^4 + 
     11359*T1^4*T2^4 - 19921*T1^5*T2^4 + 11359*T1^6*T2^4 + 4285*T1^7*T2^4 - 
     4557*T1^8*T2^4 + 371*T1^9*T2^4 + 166*T1^10*T2^4 - 63*T2^5 - 
     721*T1*T2^5 + 2896*T1^2*T2^5 + 4285*T1^3*T2^5 - 19921*T1^4*T2^5 + 
     10884*T1^5*T2^5 + 10884*T1^6*T2^5 - 19921*T1^7*T2^5 + 4285*T1^8*T2^5 + 
     2896*T1^9*T2^5 - 721*T1^10*T2^5 - 63*T1^11*T2^5 + 9*T2^6 + 378*T1*T2^6 + 
     149*T1^2*T2^6 - 8068*T1^3*T2^6 + 11359*T1^4*T2^6 + 10884*T1^5*T2^6 - 
     23292*T1^6*T2^6 + 10884*T1^7*T2^6 + 11359*T1^8*T2^6 - 8068*T1^9*T2^6 + 
     149*T1^10*T2^6 + 378*T1^11*T2^6 + 9*T1^12*T2^6 - 63*T1*T2^7 - 
     721*T1^2*T2^7 + 2896*T1^3*T2^7 + 4285*T1^4*T2^7 - 19921*T1^5*T2^7 + 
     10884*T1^6*T2^7 + 10884*T1^7*T2^7 - 19921*T1^8*T2^7 + 4285*T1^9*T2^7 + 
     2896*T1^10*T2^7 - 721*T1^11*T2^7 - 63*T1^12*T2^7 + 166*T1^2*T2^8 + 
     371*T1^3*T2^8 - 4557*T1^4*T2^8 + 4285*T1^5*T2^8 + 11359*T1^6*T2^8 - 
     19921*T1^7*T2^8 + 11359*T1^8*T2^8 + 4285*T1^9*T2^8 - 4557*T1^10*T2^8 + 
     371*T1^11*T2^8 + 166*T1^12*T2^8 - 219*T1^3*T2^9 + 371*T1^4*T2^9 + 
     2896*T1^5*T2^9 - 8068*T1^6*T2^9 + 4285*T1^7*T2^9 + 4285*T1^8*T2^9 - 
     8068*T1^9*T2^9 + 2896*T1^10*T2^9 + 371*T1^11*T2^9 - 219*T1^12*T2^9 + 
     166*T1^4*T2^10 - 721*T1^5*T2^10 + 149*T1^6*T2^10 + 2896*T1^7*T2^10 - 
     4557*T1^8*T2^10 + 2896*T1^9*T2^10 + 149*T1^10*T2^10 - 721*T1^11*T2^10 + 
     166*T1^12*T2^10 - 63*T1^5*T2^11 + 378*T1^6*T2^11 - 721*T1^7*T2^11 + 
     371*T1^8*T2^11 + 371*T1^9*T2^11 - 721*T1^10*T2^11 + 378*T1^11*T2^11 - 
     63*T1^12*T2^11 + 9*T1^6*T2^12 - 63*T1^7*T2^12 + 166*T1^8*T2^12 - 
     219*T1^9*T2^12 + 166*T1^10*T2^12 - 63*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   (2 - 10*T1 + 23*T1^2 - 30*T1^3 + 23*T1^4 - 10*T1^5 + 2*T1^6 - 10*T2 + 
     48*T1*T2 - 85*T1^2*T2 + 43*T1^3*T2 + 43*T1^4*T2 - 85*T1^5*T2 + 
     48*T1^6*T2 - 10*T1^7*T2 + 23*T2^2 - 85*T1*T2^2 + 24*T1^2*T2^2 + 
     283*T1^3*T2^2 - 418*T1^4*T2^2 + 283*T1^5*T2^2 + 24*T1^6*T2^2 - 
     85*T1^7*T2^2 + 23*T1^8*T2^2 - 30*T2^3 + 43*T1*T2^3 + 283*T1^2*T2^3 - 
     722*T1^3*T2^3 + 280*T1^4*T2^3 + 280*T1^5*T2^3 - 722*T1^6*T2^3 + 
     283*T1^7*T2^3 + 43*T1^8*T2^3 - 30*T1^9*T2^3 + 23*T2^4 + 43*T1*T2^4 - 
     418*T1^2*T2^4 + 280*T1^3*T2^4 + 982*T1^4*T2^4 - 1106*T1^5*T2^4 + 
     982*T1^6*T2^4 + 280*T1^7*T2^4 - 418*T1^8*T2^4 + 43*T1^9*T2^4 + 
     23*T1^10*T2^4 - 10*T2^5 - 85*T1*T2^5 + 283*T1^2*T2^5 + 280*T1^3*T2^5 - 
     1106*T1^4*T2^5 + 48*T1^5*T2^5 + 48*T1^6*T2^5 - 1106*T1^7*T2^5 + 
     280*T1^8*T2^5 + 283*T1^9*T2^5 - 85*T1^10*T2^5 - 10*T1^11*T2^5 + 2*T2^6 + 
     48*T1*T2^6 + 24*T1^2*T2^6 - 722*T1^3*T2^6 + 982*T1^4*T2^6 + 
     48*T1^5*T2^6 + 624*T1^6*T2^6 + 48*T1^7*T2^6 + 982*T1^8*T2^6 - 
     722*T1^9*T2^6 + 24*T1^10*T2^6 + 48*T1^11*T2^6 + 2*T1^12*T2^6 - 
     10*T1*T2^7 - 85*T1^2*T2^7 + 283*T1^3*T2^7 + 280*T1^4*T2^7 - 
     1106*T1^5*T2^7 + 48*T1^6*T2^7 + 48*T1^7*T2^7 - 1106*T1^8*T2^7 + 
     280*T1^9*T2^7 + 283*T1^10*T2^7 - 85*T1^11*T2^7 - 10*T1^12*T2^7 + 
     23*T1^2*T2^8 + 43*T1^3*T2^8 - 418*T1^4*T2^8 + 280*T1^5*T2^8 + 
     982*T1^6*T2^8 - 1106*T1^7*T2^8 + 982*T1^8*T2^8 + 280*T1^9*T2^8 - 
     418*T1^10*T2^8 + 43*T1^11*T2^8 + 23*T1^12*T2^8 - 30*T1^3*T2^9 + 
     43*T1^4*T2^9 + 283*T1^5*T2^9 - 722*T1^6*T2^9 + 280*T1^7*T2^9 + 
     280*T1^8*T2^9 - 722*T1^9*T2^9 + 283*T1^10*T2^9 + 43*T1^11*T2^9 - 
     30*T1^12*T2^9 + 23*T1^4*T2^10 - 85*T1^5*T2^10 + 24*T1^6*T2^10 + 
     283*T1^7*T2^10 - 418*T1^8*T2^10 + 283*T1^9*T2^10 + 24*T1^10*T2^10 - 
     85*T1^11*T2^10 + 23*T1^12*T2^10 - 10*T1^5*T2^11 + 48*T1^6*T2^11 - 
     85*T1^7*T2^11 + 43*T1^8*T2^11 + 43*T1^9*T2^11 - 85*T1^10*T2^11 + 
     48*T1^11*T2^11 - 10*T1^12*T2^11 + 2*T1^6*T2^12 - 10*T1^7*T2^12 + 
     23*T1^8*T2^12 - 30*T1^9*T2^12 + 23*T1^10*T2^12 - 10*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   (3 - 13*T1 + 26*T1^2 - 33*T1^3 + 26*T1^4 - 13*T1^5 + 3*T1^6 - 13*T2 + 
     50*T1*T2 - 75*T1^2*T2 + 39*T1^3*T2 + 39*T1^4*T2 - 75*T1^5*T2 + 
     50*T1^6*T2 - 13*T1^7*T2 + 26*T2^2 - 75*T1*T2^2 - 5*T1^2*T2^2 + 
     284*T1^3*T2^2 - 435*T1^4*T2^2 + 284*T1^5*T2^2 - 5*T1^6*T2^2 - 
     75*T1^7*T2^2 + 26*T1^8*T2^2 - 33*T2^3 + 39*T1*T2^3 + 284*T1^2*T2^3 - 
     728*T1^3*T2^3 + 362*T1^4*T2^3 + 362*T1^5*T2^3 - 728*T1^6*T2^3 + 
     284*T1^7*T2^3 + 39*T1^8*T2^3 - 33*T1^9*T2^3 + 26*T2^4 + 39*T1*T2^4 - 
     435*T1^2*T2^4 + 362*T1^3*T2^4 + 1053*T1^4*T2^4 - 1669*T1^5*T2^4 + 
     1053*T1^6*T2^4 + 362*T1^7*T2^4 - 435*T1^8*T2^4 + 39*T1^9*T2^4 + 
     26*T1^10*T2^4 - 13*T2^5 - 75*T1*T2^5 + 284*T1^2*T2^5 + 362*T1^3*T2^5 - 
     1669*T1^4*T2^5 + 746*T1^5*T2^5 + 746*T1^6*T2^5 - 1669*T1^7*T2^5 + 
     362*T1^8*T2^5 + 284*T1^9*T2^5 - 75*T1^10*T2^5 - 13*T1^11*T2^5 + 3*T2^6 + 
     50*T1*T2^6 - 5*T1^2*T2^6 - 728*T1^3*T2^6 + 1053*T1^4*T2^6 + 
     746*T1^5*T2^6 - 1368*T1^6*T2^6 + 746*T1^7*T2^6 + 1053*T1^8*T2^6 - 
     728*T1^9*T2^6 - 5*T1^10*T2^6 + 50*T1^11*T2^6 + 3*T1^12*T2^6 - 
     13*T1*T2^7 - 75*T1^2*T2^7 + 284*T1^3*T2^7 + 362*T1^4*T2^7 - 
     1669*T1^5*T2^7 + 746*T1^6*T2^7 + 746*T1^7*T2^7 - 1669*T1^8*T2^7 + 
     362*T1^9*T2^7 + 284*T1^10*T2^7 - 75*T1^11*T2^7 - 13*T1^12*T2^7 + 
     26*T1^2*T2^8 + 39*T1^3*T2^8 - 435*T1^4*T2^8 + 362*T1^5*T2^8 + 
     1053*T1^6*T2^8 - 1669*T1^7*T2^8 + 1053*T1^8*T2^8 + 362*T1^9*T2^8 - 
     435*T1^10*T2^8 + 39*T1^11*T2^8 + 26*T1^12*T2^8 - 33*T1^3*T2^9 + 
     39*T1^4*T2^9 + 284*T1^5*T2^9 - 728*T1^6*T2^9 + 362*T1^7*T2^9 + 
     362*T1^8*T2^9 - 728*T1^9*T2^9 + 284*T1^10*T2^9 + 39*T1^11*T2^9 - 
     33*T1^12*T2^9 + 26*T1^4*T2^10 - 75*T1^5*T2^10 - 5*T1^6*T2^10 + 
     284*T1^7*T2^10 - 435*T1^8*T2^10 + 284*T1^9*T2^10 - 5*T1^10*T2^10 - 
     75*T1^11*T2^10 + 26*T1^12*T2^10 - 13*T1^5*T2^11 + 50*T1^6*T2^11 - 
     75*T1^7*T2^11 + 39*T1^8*T2^11 + 39*T1^9*T2^11 - 75*T1^10*T2^11 + 
     50*T1^11*T2^11 - 13*T1^12*T2^11 + 3*T1^6*T2^12 - 13*T1^7*T2^12 + 
     26*T1^8*T2^12 - 33*T1^9*T2^12 + 26*T1^10*T2^12 - 13*T1^11*T2^12 + 
     3*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, Alternating, 352] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 3*T + T^2)*(1 - T + T^2))/T^3, 
   (7 - 45*T1 + 110*T1^2 - 141*T1^3 + 110*T1^4 - 45*T1^5 + 7*T1^6 - 45*T2 + 
     244*T1*T2 - 417*T1^2*T2 + 199*T1^3*T2 + 199*T1^4*T2 - 417*T1^5*T2 + 
     244*T1^6*T2 - 45*T1^7*T2 + 110*T2^2 - 417*T1*T2^2 + 11*T1^2*T2^2 + 
     1508*T1^3*T2^2 - 2227*T1^4*T2^2 + 1508*T1^5*T2^2 + 11*T1^6*T2^2 - 
     417*T1^7*T2^2 + 110*T1^8*T2^2 - 141*T2^3 + 199*T1*T2^3 + 
     1508*T1^2*T2^3 - 3612*T1^3*T2^3 + 1758*T1^4*T2^3 + 1758*T1^5*T2^3 - 
     3612*T1^6*T2^3 + 1508*T1^7*T2^3 + 199*T1^8*T2^3 - 141*T1^9*T2^3 + 
     110*T2^4 + 199*T1*T2^4 - 2227*T1^2*T2^4 + 1758*T1^3*T2^4 + 
     4437*T1^4*T2^4 - 7449*T1^5*T2^4 + 4437*T1^6*T2^4 + 1758*T1^7*T2^4 - 
     2227*T1^8*T2^4 + 199*T1^9*T2^4 + 110*T1^10*T2^4 - 45*T2^5 - 
     417*T1*T2^5 + 1508*T1^2*T2^5 + 1758*T1^3*T2^5 - 7449*T1^4*T2^5 + 
     3872*T1^5*T2^5 + 3872*T1^6*T2^5 - 7449*T1^7*T2^5 + 1758*T1^8*T2^5 + 
     1508*T1^9*T2^5 - 417*T1^10*T2^5 - 45*T1^11*T2^5 + 7*T2^6 + 244*T1*T2^6 + 
     11*T1^2*T2^6 - 3612*T1^3*T2^6 + 4437*T1^4*T2^6 + 3872*T1^5*T2^6 - 
     8208*T1^6*T2^6 + 3872*T1^7*T2^6 + 4437*T1^8*T2^6 - 3612*T1^9*T2^6 + 
     11*T1^10*T2^6 + 244*T1^11*T2^6 + 7*T1^12*T2^6 - 45*T1*T2^7 - 
     417*T1^2*T2^7 + 1508*T1^3*T2^7 + 1758*T1^4*T2^7 - 7449*T1^5*T2^7 + 
     3872*T1^6*T2^7 + 3872*T1^7*T2^7 - 7449*T1^8*T2^7 + 1758*T1^9*T2^7 + 
     1508*T1^10*T2^7 - 417*T1^11*T2^7 - 45*T1^12*T2^7 + 110*T1^2*T2^8 + 
     199*T1^3*T2^8 - 2227*T1^4*T2^8 + 1758*T1^5*T2^8 + 4437*T1^6*T2^8 - 
     7449*T1^7*T2^8 + 4437*T1^8*T2^8 + 1758*T1^9*T2^8 - 2227*T1^10*T2^8 + 
     199*T1^11*T2^8 + 110*T1^12*T2^8 - 141*T1^3*T2^9 + 199*T1^4*T2^9 + 
     1508*T1^5*T2^9 - 3612*T1^6*T2^9 + 1758*T1^7*T2^9 + 1758*T1^8*T2^9 - 
     3612*T1^9*T2^9 + 1508*T1^10*T2^9 + 199*T1^11*T2^9 - 141*T1^12*T2^9 + 
     110*T1^4*T2^10 - 417*T1^5*T2^10 + 11*T1^6*T2^10 + 1508*T1^7*T2^10 - 
     2227*T1^8*T2^10 + 1508*T1^9*T2^10 + 11*T1^10*T2^10 - 417*T1^11*T2^10 + 
     110*T1^12*T2^10 - 45*T1^5*T2^11 + 244*T1^6*T2^11 - 417*T1^7*T2^11 + 
     199*T1^8*T2^11 + 199*T1^9*T2^11 - 417*T1^10*T2^11 + 244*T1^11*T2^11 - 
     45*T1^12*T2^11 + 7*T1^6*T2^12 - 45*T1^7*T2^12 + 110*T1^8*T2^12 - 
     141*T1^9*T2^12 + 110*T1^10*T2^12 - 45*T1^11*T2^12 + 7*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 353] -> 
  {((1 - T + T^2)*(5 - 10*T + 11*T^2 - 10*T^3 + 5*T^4))/T^3, 
   (395 - 1155*T1 + 1985*T1^2 - 2363*T1^3 + 1985*T1^4 - 1155*T1^5 + 
     395*T1^6 - 1155*T2 + 2240*T1*T2 - 2450*T1^2*T2 + 1116*T1^3*T2 + 
     1116*T1^4*T2 - 2450*T1^5*T2 + 2240*T1^6*T2 - 1155*T1^7*T2 + 1985*T2^2 - 
     2450*T1*T2^2 + 1818*T1^2*T2^2 - 25*T1^3*T2^2 - 1134*T1^4*T2^2 - 
     25*T1^5*T2^2 + 1818*T1^6*T2^2 - 2450*T1^7*T2^2 + 1985*T1^8*T2^2 - 
     2363*T2^3 + 1116*T1*T2^3 - 25*T1^2*T2^3 - 1430*T1^3*T2^3 + 
     1081*T1^4*T2^3 + 1081*T1^5*T2^3 - 1430*T1^6*T2^3 - 25*T1^7*T2^3 + 
     1116*T1^8*T2^3 - 2363*T1^9*T2^3 + 1985*T2^4 + 1116*T1*T2^4 - 
     1134*T1^2*T2^4 + 1081*T1^3*T2^4 + 1126*T1^4*T2^4 - 3044*T1^5*T2^4 + 
     1126*T1^6*T2^4 + 1081*T1^7*T2^4 - 1134*T1^8*T2^4 + 1116*T1^9*T2^4 + 
     1985*T1^10*T2^4 - 1155*T2^5 - 2450*T1*T2^5 - 25*T1^2*T2^5 + 
     1081*T1^3*T2^5 - 3044*T1^4*T2^5 + 2092*T1^5*T2^5 + 2092*T1^6*T2^5 - 
     3044*T1^7*T2^5 + 1081*T1^8*T2^5 - 25*T1^9*T2^5 - 2450*T1^10*T2^5 - 
     1155*T1^11*T2^5 + 395*T2^6 + 2240*T1*T2^6 + 1818*T1^2*T2^6 - 
     1430*T1^3*T2^6 + 1126*T1^4*T2^6 + 2092*T1^5*T2^6 - 4824*T1^6*T2^6 + 
     2092*T1^7*T2^6 + 1126*T1^8*T2^6 - 1430*T1^9*T2^6 + 1818*T1^10*T2^6 + 
     2240*T1^11*T2^6 + 395*T1^12*T2^6 - 1155*T1*T2^7 - 2450*T1^2*T2^7 - 
     25*T1^3*T2^7 + 1081*T1^4*T2^7 - 3044*T1^5*T2^7 + 2092*T1^6*T2^7 + 
     2092*T1^7*T2^7 - 3044*T1^8*T2^7 + 1081*T1^9*T2^7 - 25*T1^10*T2^7 - 
     2450*T1^11*T2^7 - 1155*T1^12*T2^7 + 1985*T1^2*T2^8 + 1116*T1^3*T2^8 - 
     1134*T1^4*T2^8 + 1081*T1^5*T2^8 + 1126*T1^6*T2^8 - 3044*T1^7*T2^8 + 
     1126*T1^8*T2^8 + 1081*T1^9*T2^8 - 1134*T1^10*T2^8 + 1116*T1^11*T2^8 + 
     1985*T1^12*T2^8 - 2363*T1^3*T2^9 + 1116*T1^4*T2^9 - 25*T1^5*T2^9 - 
     1430*T1^6*T2^9 + 1081*T1^7*T2^9 + 1081*T1^8*T2^9 - 1430*T1^9*T2^9 - 
     25*T1^10*T2^9 + 1116*T1^11*T2^9 - 2363*T1^12*T2^9 + 1985*T1^4*T2^10 - 
     2450*T1^5*T2^10 + 1818*T1^6*T2^10 - 25*T1^7*T2^10 - 1134*T1^8*T2^10 - 
     25*T1^9*T2^10 + 1818*T1^10*T2^10 - 2450*T1^11*T2^10 + 1985*T1^12*T2^10 - 
     1155*T1^5*T2^11 + 2240*T1^6*T2^11 - 2450*T1^7*T2^11 + 1116*T1^8*T2^11 + 
     1116*T1^9*T2^11 - 2450*T1^10*T2^11 + 2240*T1^11*T2^11 - 
     1155*T1^12*T2^11 + 395*T1^6*T2^12 - 1155*T1^7*T2^12 + 1985*T1^8*T2^12 - 
     2363*T1^9*T2^12 + 1985*T1^10*T2^12 - 1155*T1^11*T2^12 + 395*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 354] -> 
  {((1 - T + T^2)*(9 - 17*T + 9*T^2))/T^2, 
   (2*(864 - 2437*T1 + 3259*T1^2 - 2437*T1^3 + 864*T1^4 - 2437*T2 + 
      4470*T1*T2 - 2345*T1^2*T2 - 2345*T1^3*T2 + 4470*T1^4*T2 - 
      2437*T1^5*T2 + 3259*T2^2 - 2345*T1*T2^2 - 4210*T1^2*T2^2 + 
      8253*T1^3*T2^2 - 4210*T1^4*T2^2 - 2345*T1^5*T2^2 + 3259*T1^6*T2^2 - 
      2437*T2^3 - 2345*T1*T2^3 + 8253*T1^2*T2^3 - 4874*T1^3*T2^3 - 
      4874*T1^4*T2^3 + 8253*T1^5*T2^3 - 2345*T1^6*T2^3 - 2437*T1^7*T2^3 + 
      864*T2^4 + 4470*T1*T2^4 - 4210*T1^2*T2^4 - 4874*T1^3*T2^4 + 
      10812*T1^4*T2^4 - 4874*T1^5*T2^4 - 4210*T1^6*T2^4 + 4470*T1^7*T2^4 + 
      864*T1^8*T2^4 - 2437*T1*T2^5 - 2345*T1^2*T2^5 + 8253*T1^3*T2^5 - 
      4874*T1^4*T2^5 - 4874*T1^5*T2^5 + 8253*T1^6*T2^5 - 2345*T1^7*T2^5 - 
      2437*T1^8*T2^5 + 3259*T1^2*T2^6 - 2345*T1^3*T2^6 - 4210*T1^4*T2^6 + 
      8253*T1^5*T2^6 - 4210*T1^6*T2^6 - 2345*T1^7*T2^6 + 3259*T1^8*T2^6 - 
      2437*T1^3*T2^7 + 4470*T1^4*T2^7 - 2345*T1^5*T2^7 - 2345*T1^6*T2^7 + 
      4470*T1^7*T2^7 - 2437*T1^8*T2^7 + 864*T1^4*T2^8 - 2437*T1^5*T2^8 + 
      3259*T1^6*T2^8 - 2437*T1^7*T2^8 + 864*T1^8*T2^8))/(T1^4*T2^4)}, 
 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, 
   (33 - 65*T1 + 97*T1^2 - 113*T1^3 + 113*T1^4 - 113*T1^5 + 97*T1^6 - 
     65*T1^7 + 33*T1^8 - 65*T2 + 64*T1*T2 - 64*T1^2*T2 + 32*T1^3*T2 + 
     32*T1^6*T2 - 64*T1^7*T2 + 64*T1^8*T2 - 65*T1^9*T2 + 97*T2^2 - 
     64*T1*T2^2 + 114*T1^2*T2^2 - 118*T1^3*T2^2 + 142*T1^4*T2^2 - 
     186*T1^5*T2^2 + 142*T1^6*T2^2 - 118*T1^7*T2^2 + 114*T1^8*T2^2 - 
     64*T1^9*T2^2 + 97*T1^10*T2^2 - 113*T2^3 + 32*T1*T2^3 - 118*T1^2*T2^3 + 
     66*T1^3*T2^3 - 56*T1^4*T2^3 + 48*T1^5*T2^3 + 48*T1^6*T2^3 - 
     56*T1^7*T2^3 + 66*T1^8*T2^3 - 118*T1^9*T2^3 + 32*T1^10*T2^3 - 
     113*T1^11*T2^3 + 113*T2^4 + 142*T1^2*T2^4 - 56*T1^3*T2^4 + 
     95*T1^4*T2^4 - 109*T1^5*T2^4 + 53*T1^6*T2^4 - 109*T1^7*T2^4 + 
     95*T1^8*T2^4 - 56*T1^9*T2^4 + 142*T1^10*T2^4 + 113*T1^12*T2^4 - 
     113*T2^5 - 186*T1^2*T2^5 + 48*T1^3*T2^5 - 109*T1^4*T2^5 + 68*T1^5*T2^5 + 
     12*T1^6*T2^5 + 12*T1^7*T2^5 + 68*T1^8*T2^5 - 109*T1^9*T2^5 + 
     48*T1^10*T2^5 - 186*T1^11*T2^5 - 113*T1^13*T2^5 + 97*T2^6 + 32*T1*T2^6 + 
     142*T1^2*T2^6 + 48*T1^3*T2^6 + 53*T1^4*T2^6 + 12*T1^5*T2^6 - 
     49*T1^6*T2^6 + T1^7*T2^6 - 49*T1^8*T2^6 + 12*T1^9*T2^6 + 53*T1^10*T2^6 + 
     48*T1^11*T2^6 + 142*T1^12*T2^6 + 32*T1^13*T2^6 + 97*T1^14*T2^6 - 
     65*T2^7 - 64*T1*T2^7 - 118*T1^2*T2^7 - 56*T1^3*T2^7 - 109*T1^4*T2^7 + 
     12*T1^5*T2^7 + T1^6*T2^7 + 28*T1^7*T2^7 + 28*T1^8*T2^7 + T1^9*T2^7 + 
     12*T1^10*T2^7 - 109*T1^11*T2^7 - 56*T1^12*T2^7 - 118*T1^13*T2^7 - 
     64*T1^14*T2^7 - 65*T1^15*T2^7 + 33*T2^8 + 64*T1*T2^8 + 114*T1^2*T2^8 + 
     66*T1^3*T2^8 + 95*T1^4*T2^8 + 68*T1^5*T2^8 - 49*T1^6*T2^8 + 
     28*T1^7*T2^8 - 72*T1^8*T2^8 + 28*T1^9*T2^8 - 49*T1^10*T2^8 + 
     68*T1^11*T2^8 + 95*T1^12*T2^8 + 66*T1^13*T2^8 + 114*T1^14*T2^8 + 
     64*T1^15*T2^8 + 33*T1^16*T2^8 - 65*T1*T2^9 - 64*T1^2*T2^9 - 
     118*T1^3*T2^9 - 56*T1^4*T2^9 - 109*T1^5*T2^9 + 12*T1^6*T2^9 + 
     T1^7*T2^9 + 28*T1^8*T2^9 + 28*T1^9*T2^9 + T1^10*T2^9 + 12*T1^11*T2^9 - 
     109*T1^12*T2^9 - 56*T1^13*T2^9 - 118*T1^14*T2^9 - 64*T1^15*T2^9 - 
     65*T1^16*T2^9 + 97*T1^2*T2^10 + 32*T1^3*T2^10 + 142*T1^4*T2^10 + 
     48*T1^5*T2^10 + 53*T1^6*T2^10 + 12*T1^7*T2^10 - 49*T1^8*T2^10 + 
     T1^9*T2^10 - 49*T1^10*T2^10 + 12*T1^11*T2^10 + 53*T1^12*T2^10 + 
     48*T1^13*T2^10 + 142*T1^14*T2^10 + 32*T1^15*T2^10 + 97*T1^16*T2^10 - 
     113*T1^3*T2^11 - 186*T1^5*T2^11 + 48*T1^6*T2^11 - 109*T1^7*T2^11 + 
     68*T1^8*T2^11 + 12*T1^9*T2^11 + 12*T1^10*T2^11 + 68*T1^11*T2^11 - 
     109*T1^12*T2^11 + 48*T1^13*T2^11 - 186*T1^14*T2^11 - 113*T1^16*T2^11 + 
     113*T1^4*T2^12 + 142*T1^6*T2^12 - 56*T1^7*T2^12 + 95*T1^8*T2^12 - 
     109*T1^9*T2^12 + 53*T1^10*T2^12 - 109*T1^11*T2^12 + 95*T1^12*T2^12 - 
     56*T1^13*T2^12 + 142*T1^14*T2^12 + 113*T1^16*T2^12 - 113*T1^5*T2^13 + 
     32*T1^6*T2^13 - 118*T1^7*T2^13 + 66*T1^8*T2^13 - 56*T1^9*T2^13 + 
     48*T1^10*T2^13 + 48*T1^11*T2^13 - 56*T1^12*T2^13 + 66*T1^13*T2^13 - 
     118*T1^14*T2^13 + 32*T1^15*T2^13 - 113*T1^16*T2^13 + 97*T1^6*T2^14 - 
     64*T1^7*T2^14 + 114*T1^8*T2^14 - 118*T1^9*T2^14 + 142*T1^10*T2^14 - 
     186*T1^11*T2^14 + 142*T1^12*T2^14 - 118*T1^13*T2^14 + 114*T1^14*T2^14 - 
     64*T1^15*T2^14 + 97*T1^16*T2^14 - 65*T1^7*T2^15 + 64*T1^8*T2^15 - 
     64*T1^9*T2^15 + 32*T1^10*T2^15 + 32*T1^13*T2^15 - 64*T1^14*T2^15 + 
     64*T1^15*T2^15 - 65*T1^16*T2^15 + 33*T1^8*T2^16 - 65*T1^9*T2^16 + 
     97*T1^10*T2^16 - 113*T1^11*T2^16 + 113*T1^12*T2^16 - 113*T1^13*T2^16 + 
     97*T1^14*T2^16 - 65*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[11, Alternating, 356] -> 
  {(4 - 10*T + 16*T^2 - 19*T^3 + 16*T^4 - 10*T^5 + 4*T^6)/T^3, 
   (208 - 508*T1 + 804*T1^2 - 952*T1^3 + 804*T1^4 - 508*T1^5 + 208*T1^6 - 
     508*T2 + 742*T1*T2 - 736*T1^2*T2 + 368*T1^3*T2 + 368*T1^4*T2 - 
     736*T1^5*T2 + 742*T1^6*T2 - 508*T1^7*T2 + 804*T2^2 - 736*T1*T2^2 + 
     755*T1^2*T2^2 - 553*T1^3*T2^2 + 177*T1^4*T2^2 - 553*T1^5*T2^2 + 
     755*T1^6*T2^2 - 736*T1^7*T2^2 + 804*T1^8*T2^2 - 952*T2^3 + 368*T1*T2^3 - 
     553*T1^2*T2^3 + 266*T1^3*T2^3 + 172*T1^4*T2^3 + 172*T1^5*T2^3 + 
     266*T1^6*T2^3 - 553*T1^7*T2^3 + 368*T1^8*T2^3 - 952*T1^9*T2^3 + 
     804*T2^4 + 368*T1*T2^4 + 177*T1^2*T2^4 + 172*T1^3*T2^4 - 288*T1^4*T2^4 - 
     308*T1^5*T2^4 - 288*T1^6*T2^4 + 172*T1^7*T2^4 + 177*T1^8*T2^4 + 
     368*T1^9*T2^4 + 804*T1^10*T2^4 - 508*T2^5 - 736*T1*T2^5 - 
     553*T1^2*T2^5 + 172*T1^3*T2^5 - 308*T1^4*T2^5 + 554*T1^5*T2^5 + 
     554*T1^6*T2^5 - 308*T1^7*T2^5 + 172*T1^8*T2^5 - 553*T1^9*T2^5 - 
     736*T1^10*T2^5 - 508*T1^11*T2^5 + 208*T2^6 + 742*T1*T2^6 + 
     755*T1^2*T2^6 + 266*T1^3*T2^6 - 288*T1^4*T2^6 + 554*T1^5*T2^6 - 
     1488*T1^6*T2^6 + 554*T1^7*T2^6 - 288*T1^8*T2^6 + 266*T1^9*T2^6 + 
     755*T1^10*T2^6 + 742*T1^11*T2^6 + 208*T1^12*T2^6 - 508*T1*T2^7 - 
     736*T1^2*T2^7 - 553*T1^3*T2^7 + 172*T1^4*T2^7 - 308*T1^5*T2^7 + 
     554*T1^6*T2^7 + 554*T1^7*T2^7 - 308*T1^8*T2^7 + 172*T1^9*T2^7 - 
     553*T1^10*T2^7 - 736*T1^11*T2^7 - 508*T1^12*T2^7 + 804*T1^2*T2^8 + 
     368*T1^3*T2^8 + 177*T1^4*T2^8 + 172*T1^5*T2^8 - 288*T1^6*T2^8 - 
     308*T1^7*T2^8 - 288*T1^8*T2^8 + 172*T1^9*T2^8 + 177*T1^10*T2^8 + 
     368*T1^11*T2^8 + 804*T1^12*T2^8 - 952*T1^3*T2^9 + 368*T1^4*T2^9 - 
     553*T1^5*T2^9 + 266*T1^6*T2^9 + 172*T1^7*T2^9 + 172*T1^8*T2^9 + 
     266*T1^9*T2^9 - 553*T1^10*T2^9 + 368*T1^11*T2^9 - 952*T1^12*T2^9 + 
     804*T1^4*T2^10 - 736*T1^5*T2^10 + 755*T1^6*T2^10 - 553*T1^7*T2^10 + 
     177*T1^8*T2^10 - 553*T1^9*T2^10 + 755*T1^10*T2^10 - 736*T1^11*T2^10 + 
     804*T1^12*T2^10 - 508*T1^5*T2^11 + 742*T1^6*T2^11 - 736*T1^7*T2^11 + 
     368*T1^8*T2^11 + 368*T1^9*T2^11 - 736*T1^10*T2^11 + 742*T1^11*T2^11 - 
     508*T1^12*T2^11 + 208*T1^6*T2^12 - 508*T1^7*T2^12 + 804*T1^8*T2^12 - 
     952*T1^9*T2^12 + 804*T1^10*T2^12 - 508*T1^11*T2^12 + 208*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, Alternating, 357] -> 
  {(4 - 11*T + 19*T^2 - 23*T^3 + 19*T^4 - 11*T^5 + 4*T^6)/T^3, 
   (208 - 560*T1 + 960*T1^2 - 1160*T1^3 + 960*T1^4 - 560*T1^5 + 208*T1^6 - 
     560*T2 + 956*T1*T2 - 1088*T1^2*T2 + 544*T1^3*T2 + 544*T1^4*T2 - 
     1088*T1^5*T2 + 956*T1^6*T2 - 560*T1^7*T2 + 960*T2^2 - 1088*T1*T2^2 + 
     1188*T1^2*T2^2 - 640*T1^3*T2^2 + 28*T1^4*T2^2 - 640*T1^5*T2^2 + 
     1188*T1^6*T2^2 - 1088*T1^7*T2^2 + 960*T1^8*T2^2 - 1160*T2^3 + 
     544*T1*T2^3 - 640*T1^2*T2^3 - 88*T1^3*T2^3 + 436*T1^4*T2^3 + 
     436*T1^5*T2^3 - 88*T1^6*T2^3 - 640*T1^7*T2^3 + 544*T1^8*T2^3 - 
     1160*T1^9*T2^3 + 960*T2^4 + 544*T1*T2^4 + 28*T1^2*T2^4 + 436*T1^3*T2^4 + 
     159*T1^4*T2^4 - 1303*T1^5*T2^4 + 159*T1^6*T2^4 + 436*T1^7*T2^4 + 
     28*T1^8*T2^4 + 544*T1^9*T2^4 + 960*T1^10*T2^4 - 560*T2^5 - 
     1088*T1*T2^5 - 640*T1^2*T2^5 + 436*T1^3*T2^5 - 1303*T1^4*T2^5 + 
     1208*T1^5*T2^5 + 1208*T1^6*T2^5 - 1303*T1^7*T2^5 + 436*T1^8*T2^5 - 
     640*T1^9*T2^5 - 1088*T1^10*T2^5 - 560*T1^11*T2^5 + 208*T2^6 + 
     956*T1*T2^6 + 1188*T1^2*T2^6 - 88*T1^3*T2^6 + 159*T1^4*T2^6 + 
     1208*T1^5*T2^6 - 3000*T1^6*T2^6 + 1208*T1^7*T2^6 + 159*T1^8*T2^6 - 
     88*T1^9*T2^6 + 1188*T1^10*T2^6 + 956*T1^11*T2^6 + 208*T1^12*T2^6 - 
     560*T1*T2^7 - 1088*T1^2*T2^7 - 640*T1^3*T2^7 + 436*T1^4*T2^7 - 
     1303*T1^5*T2^7 + 1208*T1^6*T2^7 + 1208*T1^7*T2^7 - 1303*T1^8*T2^7 + 
     436*T1^9*T2^7 - 640*T1^10*T2^7 - 1088*T1^11*T2^7 - 560*T1^12*T2^7 + 
     960*T1^2*T2^8 + 544*T1^3*T2^8 + 28*T1^4*T2^8 + 436*T1^5*T2^8 + 
     159*T1^6*T2^8 - 1303*T1^7*T2^8 + 159*T1^8*T2^8 + 436*T1^9*T2^8 + 
     28*T1^10*T2^8 + 544*T1^11*T2^8 + 960*T1^12*T2^8 - 1160*T1^3*T2^9 + 
     544*T1^4*T2^9 - 640*T1^5*T2^9 - 88*T1^6*T2^9 + 436*T1^7*T2^9 + 
     436*T1^8*T2^9 - 88*T1^9*T2^9 - 640*T1^10*T2^9 + 544*T1^11*T2^9 - 
     1160*T1^12*T2^9 + 960*T1^4*T2^10 - 1088*T1^5*T2^10 + 1188*T1^6*T2^10 - 
     640*T1^7*T2^10 + 28*T1^8*T2^10 - 640*T1^9*T2^10 + 1188*T1^10*T2^10 - 
     1088*T1^11*T2^10 + 960*T1^12*T2^10 - 560*T1^5*T2^11 + 956*T1^6*T2^11 - 
     1088*T1^7*T2^11 + 544*T1^8*T2^11 + 544*T1^9*T2^11 - 1088*T1^10*T2^11 + 
     956*T1^11*T2^11 - 560*T1^12*T2^11 + 208*T1^6*T2^12 - 560*T1^7*T2^12 + 
     960*T1^8*T2^12 - 1160*T1^9*T2^12 + 960*T1^10*T2^12 - 560*T1^11*T2^12 + 
     208*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, Alternating, 358] -> 
  {(3 - 5*T + 5*T^2 - 5*T^3 + 5*T^4 - 5*T^5 + 3*T^6)/T^3, 
   (90 - 148*T1 + 148*T1^2 - 148*T1^3 + 148*T1^4 - 148*T1^5 + 90*T1^6 - 
     148*T2 + 96*T1*T2 + 96*T1^6*T2 - 148*T1^7*T2 + 148*T2^2 - 38*T1^2*T2^2 - 
     40*T1^3*T2^2 + 40*T1^4*T2^2 - 40*T1^5*T2^2 - 38*T1^6*T2^2 + 
     148*T1^8*T2^2 - 148*T2^3 - 40*T1^2*T2^3 + 66*T1^3*T2^3 + 66*T1^6*T2^3 - 
     40*T1^7*T2^3 - 148*T1^9*T2^3 + 148*T2^4 + 40*T1^2*T2^4 - 33*T1^4*T2^4 - 
     15*T1^5*T2^4 - 33*T1^6*T2^4 + 40*T1^8*T2^4 + 148*T1^10*T2^4 - 148*T2^5 - 
     40*T1^2*T2^5 - 15*T1^4*T2^5 + 36*T1^5*T2^5 + 36*T1^6*T2^5 - 
     15*T1^7*T2^5 - 40*T1^9*T2^5 - 148*T1^11*T2^5 + 90*T2^6 + 96*T1*T2^6 - 
     38*T1^2*T2^6 + 66*T1^3*T2^6 - 33*T1^4*T2^6 + 36*T1^5*T2^6 - 
     84*T1^6*T2^6 + 36*T1^7*T2^6 - 33*T1^8*T2^6 + 66*T1^9*T2^6 - 
     38*T1^10*T2^6 + 96*T1^11*T2^6 + 90*T1^12*T2^6 - 148*T1*T2^7 - 
     40*T1^3*T2^7 - 15*T1^5*T2^7 + 36*T1^6*T2^7 + 36*T1^7*T2^7 - 
     15*T1^8*T2^7 - 40*T1^10*T2^7 - 148*T1^12*T2^7 + 148*T1^2*T2^8 + 
     40*T1^4*T2^8 - 33*T1^6*T2^8 - 15*T1^7*T2^8 - 33*T1^8*T2^8 + 
     40*T1^10*T2^8 + 148*T1^12*T2^8 - 148*T1^3*T2^9 - 40*T1^5*T2^9 + 
     66*T1^6*T2^9 + 66*T1^9*T2^9 - 40*T1^10*T2^9 - 148*T1^12*T2^9 + 
     148*T1^4*T2^10 - 38*T1^6*T2^10 - 40*T1^7*T2^10 + 40*T1^8*T2^10 - 
     40*T1^9*T2^10 - 38*T1^10*T2^10 + 148*T1^12*T2^10 - 148*T1^5*T2^11 + 
     96*T1^6*T2^11 + 96*T1^11*T2^11 - 148*T1^12*T2^11 + 90*T1^6*T2^12 - 
     148*T1^7*T2^12 + 148*T1^8*T2^12 - 148*T1^9*T2^12 + 148*T1^10*T2^12 - 
     148*T1^11*T2^12 + 90*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, Alternating, 359] -> {(6 - 13*T + 15*T^2 - 13*T^3 + 6*T^4)/T^2, 
   (531 - 1121*T1 + 1281*T1^2 - 1121*T1^3 + 531*T1^4 - 1121*T2 + 1256*T1*T2 - 
     344*T1^2*T2 - 344*T1^3*T2 + 1256*T1^4*T2 - 1121*T1^5*T2 + 1281*T2^2 - 
     344*T1*T2^2 - 876*T1^2*T2^2 + 752*T1^3*T2^2 - 876*T1^4*T2^2 - 
     344*T1^5*T2^2 + 1281*T1^6*T2^2 - 1121*T2^3 - 344*T1*T2^3 + 
     752*T1^2*T2^3 + 74*T1^3*T2^3 + 74*T1^4*T2^3 + 752*T1^5*T2^3 - 
     344*T1^6*T2^3 - 1121*T1^7*T2^3 + 531*T2^4 + 1256*T1*T2^4 - 
     876*T1^2*T2^4 + 74*T1^3*T2^4 - 528*T1^4*T2^4 + 74*T1^5*T2^4 - 
     876*T1^6*T2^4 + 1256*T1^7*T2^4 + 531*T1^8*T2^4 - 1121*T1*T2^5 - 
     344*T1^2*T2^5 + 752*T1^3*T2^5 + 74*T1^4*T2^5 + 74*T1^5*T2^5 + 
     752*T1^6*T2^5 - 344*T1^7*T2^5 - 1121*T1^8*T2^5 + 1281*T1^2*T2^6 - 
     344*T1^3*T2^6 - 876*T1^4*T2^6 + 752*T1^5*T2^6 - 876*T1^6*T2^6 - 
     344*T1^7*T2^6 + 1281*T1^8*T2^6 - 1121*T1^3*T2^7 + 1256*T1^4*T2^7 - 
     344*T1^5*T2^7 - 344*T1^6*T2^7 + 1256*T1^7*T2^7 - 1121*T1^8*T2^7 + 
     531*T1^4*T2^8 - 1121*T1^5*T2^8 + 1281*T1^6*T2^8 - 1121*T1^7*T2^8 + 
     531*T1^8*T2^8)/(T1^4*T2^4)}, Knot[11, Alternating, 360] -> 
  {(6 - 14*T + 17*T^2 - 14*T^3 + 6*T^4)/T^2, 
   (531 - 1213*T1 + 1465*T1^2 - 1213*T1^3 + 531*T1^4 - 1213*T2 + 1570*T1*T2 - 
     584*T1^2*T2 - 584*T1^3*T2 + 1570*T1^4*T2 - 1213*T1^5*T2 + 1465*T2^2 - 
     584*T1*T2^2 - 1081*T1^2*T2^2 + 1423*T1^3*T2^2 - 1081*T1^4*T2^2 - 
     584*T1^5*T2^2 + 1465*T1^6*T2^2 - 1213*T2^3 - 584*T1*T2^3 + 
     1423*T1^2*T2^3 - 406*T1^3*T2^3 - 406*T1^4*T2^3 + 1423*T1^5*T2^3 - 
     584*T1^6*T2^3 - 1213*T1^7*T2^3 + 531*T2^4 + 1570*T1*T2^4 - 
     1081*T1^2*T2^4 - 406*T1^3*T2^4 + 552*T1^4*T2^4 - 406*T1^5*T2^4 - 
     1081*T1^6*T2^4 + 1570*T1^7*T2^4 + 531*T1^8*T2^4 - 1213*T1*T2^5 - 
     584*T1^2*T2^5 + 1423*T1^3*T2^5 - 406*T1^4*T2^5 - 406*T1^5*T2^5 + 
     1423*T1^6*T2^5 - 584*T1^7*T2^5 - 1213*T1^8*T2^5 + 1465*T1^2*T2^6 - 
     584*T1^3*T2^6 - 1081*T1^4*T2^6 + 1423*T1^5*T2^6 - 1081*T1^6*T2^6 - 
     584*T1^7*T2^6 + 1465*T1^8*T2^6 - 1213*T1^3*T2^7 + 1570*T1^4*T2^7 - 
     584*T1^5*T2^7 - 584*T1^6*T2^7 + 1570*T1^7*T2^7 - 1213*T1^8*T2^7 + 
     531*T1^4*T2^8 - 1213*T1^5*T2^8 + 1465*T1^6*T2^8 - 1213*T1^7*T2^8 + 
     531*T1^8*T2^8)/(T1^4*T2^4)}, Knot[11, Alternating, 361] -> 
  {(7 - 17*T + 21*T^2 - 17*T^3 + 7*T^4)/T^2, 
   (847 - 2013*T1 + 2471*T1^2 - 2013*T1^3 + 847*T1^4 - 2013*T2 + 2788*T1*T2 - 
     1100*T1^2*T2 - 1100*T1^3*T2 + 2788*T1^4*T2 - 2013*T1^5*T2 + 2471*T2^2 - 
     1100*T1*T2^2 - 2097*T1^2*T2^2 + 2961*T1^3*T2^2 - 2097*T1^4*T2^2 - 
     1100*T1^5*T2^2 + 2471*T1^6*T2^2 - 2013*T2^3 - 1100*T1*T2^3 + 
     2961*T1^2*T2^3 - 1018*T1^3*T2^3 - 1018*T1^4*T2^3 + 2961*T1^5*T2^3 - 
     1100*T1^6*T2^3 - 2013*T1^7*T2^3 + 847*T2^4 + 2788*T1*T2^4 - 
     2097*T1^2*T2^4 - 1018*T1^3*T2^4 + 1644*T1^4*T2^4 - 1018*T1^5*T2^4 - 
     2097*T1^6*T2^4 + 2788*T1^7*T2^4 + 847*T1^8*T2^4 - 2013*T1*T2^5 - 
     1100*T1^2*T2^5 + 2961*T1^3*T2^5 - 1018*T1^4*T2^5 - 1018*T1^5*T2^5 + 
     2961*T1^6*T2^5 - 1100*T1^7*T2^5 - 2013*T1^8*T2^5 + 2471*T1^2*T2^6 - 
     1100*T1^3*T2^6 - 2097*T1^4*T2^6 + 2961*T1^5*T2^6 - 2097*T1^6*T2^6 - 
     1100*T1^7*T2^6 + 2471*T1^8*T2^6 - 2013*T1^3*T2^7 + 2788*T1^4*T2^7 - 
     1100*T1^5*T2^7 - 1100*T1^6*T2^7 + 2788*T1^7*T2^7 - 2013*T1^8*T2^7 + 
     847*T1^4*T2^8 - 2013*T1^5*T2^8 + 2471*T1^6*T2^8 - 2013*T1^7*T2^8 + 
     847*T1^8*T2^8)/(T1^4*T2^4)}, Knot[11, Alternating, 362] -> 
  {(10 - 19*T + 10*T^2)/T, (31*(55 - 103*T1 + 55*T1^2 - 103*T2 + 90*T1*T2 + 
      90*T1^2*T2 - 103*T1^3*T2 + 55*T2^2 + 90*T1*T2^2 - 252*T1^2*T2^2 + 
      90*T1^3*T2^2 + 55*T1^4*T2^2 - 103*T1*T2^3 + 90*T1^2*T2^3 + 
      90*T1^3*T2^3 - 103*T1^4*T2^3 + 55*T1^2*T2^4 - 103*T1^3*T2^4 + 
      55*T1^4*T2^4))/(T1^2*T2^2)}, Knot[11, Alternating, 363] -> 
  {(9 - 17*T + 9*T^2)/T, (9*(135 - 251*T1 + 135*T1^2 - 251*T2 + 216*T1*T2 + 
      216*T1^2*T2 - 251*T1^3*T2 + 135*T2^2 + 216*T1*T2^2 - 600*T1^2*T2^2 + 
      216*T1^3*T2^2 + 135*T1^4*T2^2 - 251*T1*T2^3 + 216*T1^2*T2^3 + 
      216*T1^3*T2^3 - 251*T1^4*T2^3 + 135*T1^2*T2^4 - 251*T1^3*T2^4 + 
      135*T1^4*T2^4))/(T1^2*T2^2)}, 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, 
   (33 - 49*T1 + 49*T1^2 - 49*T1^3 + 49*T1^4 - 49*T1^5 + 49*T1^6 - 49*T1^7 + 
     33*T1^8 - 49*T2 + 24*T1*T2 + 24*T1^8*T2 - 49*T1^9*T2 + 49*T2^2 + 
     5*T1^2*T2^2 - 25*T1^3*T2^2 + 25*T1^4*T2^2 - 25*T1^5*T2^2 + 
     25*T1^6*T2^2 - 25*T1^7*T2^2 + 5*T1^8*T2^2 + 49*T1^10*T2^2 - 49*T2^3 - 
     25*T1^2*T2^3 + 18*T1^3*T2^3 + 18*T1^8*T2^3 - 25*T1^9*T2^3 - 
     49*T1^11*T2^3 + 49*T2^4 + 25*T1^2*T2^4 + 2*T1^4*T2^4 - 16*T1^5*T2^4 + 
     16*T1^6*T2^4 - 16*T1^7*T2^4 + 2*T1^8*T2^4 + 25*T1^10*T2^4 + 
     49*T1^12*T2^4 - 49*T2^5 - 25*T1^2*T2^5 - 16*T1^4*T2^5 + 12*T1^5*T2^5 + 
     12*T1^8*T2^5 - 16*T1^9*T2^5 - 25*T1^11*T2^5 - 49*T1^13*T2^5 + 49*T2^6 + 
     25*T1^2*T2^6 + 16*T1^4*T2^6 - T1^6*T2^6 - 7*T1^7*T2^6 - T1^8*T2^6 + 
     16*T1^10*T2^6 + 25*T1^12*T2^6 + 49*T1^14*T2^6 - 49*T2^7 - 25*T1^2*T2^7 - 
     16*T1^4*T2^7 - 7*T1^6*T2^7 + 6*T1^7*T2^7 + 6*T1^8*T2^7 - 7*T1^9*T2^7 - 
     16*T1^11*T2^7 - 25*T1^13*T2^7 - 49*T1^15*T2^7 + 33*T2^8 + 24*T1*T2^8 + 
     5*T1^2*T2^8 + 18*T1^3*T2^8 + 2*T1^4*T2^8 + 12*T1^5*T2^8 - T1^6*T2^8 + 
     6*T1^7*T2^8 - 12*T1^8*T2^8 + 6*T1^9*T2^8 - T1^10*T2^8 + 12*T1^11*T2^8 + 
     2*T1^12*T2^8 + 18*T1^13*T2^8 + 5*T1^14*T2^8 + 24*T1^15*T2^8 + 
     33*T1^16*T2^8 - 49*T1*T2^9 - 25*T1^3*T2^9 - 16*T1^5*T2^9 - 7*T1^7*T2^9 + 
     6*T1^8*T2^9 + 6*T1^9*T2^9 - 7*T1^10*T2^9 - 16*T1^12*T2^9 - 
     25*T1^14*T2^9 - 49*T1^16*T2^9 + 49*T1^2*T2^10 + 25*T1^4*T2^10 + 
     16*T1^6*T2^10 - T1^8*T2^10 - 7*T1^9*T2^10 - T1^10*T2^10 + 
     16*T1^12*T2^10 + 25*T1^14*T2^10 + 49*T1^16*T2^10 - 49*T1^3*T2^11 - 
     25*T1^5*T2^11 - 16*T1^7*T2^11 + 12*T1^8*T2^11 + 12*T1^11*T2^11 - 
     16*T1^12*T2^11 - 25*T1^14*T2^11 - 49*T1^16*T2^11 + 49*T1^4*T2^12 + 
     25*T1^6*T2^12 + 2*T1^8*T2^12 - 16*T1^9*T2^12 + 16*T1^10*T2^12 - 
     16*T1^11*T2^12 + 2*T1^12*T2^12 + 25*T1^14*T2^12 + 49*T1^16*T2^12 - 
     49*T1^5*T2^13 - 25*T1^7*T2^13 + 18*T1^8*T2^13 + 18*T1^13*T2^13 - 
     25*T1^14*T2^13 - 49*T1^16*T2^13 + 49*T1^6*T2^14 + 5*T1^8*T2^14 - 
     25*T1^9*T2^14 + 25*T1^10*T2^14 - 25*T1^11*T2^14 + 25*T1^12*T2^14 - 
     25*T1^13*T2^14 + 5*T1^14*T2^14 + 49*T1^16*T2^14 - 49*T1^7*T2^15 + 
     24*T1^8*T2^15 + 24*T1^15*T2^15 - 49*T1^16*T2^15 + 33*T1^8*T2^16 - 
     49*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 - 49*T1^15*T2^16 + 33*T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[11, Alternating, 365] -> 
  {((1 - T + T^2)*(4 - 4*T + T^2 - 4*T^3 + 4*T^4))/T^3, 
   (208 - 408*T1 + 456*T1^2 - 456*T1^3 + 456*T1^4 - 408*T1^5 + 208*T1^6 - 
     408*T2 + 396*T1*T2 - 96*T1^2*T2 - 96*T1^5*T2 + 396*T1^6*T2 - 
     408*T1^7*T2 + 456*T2^2 - 96*T1*T2^2 - 190*T1^2*T2^2 + 2*T1^3*T2^2 + 
     90*T1^4*T2^2 + 2*T1^5*T2^2 - 190*T1^6*T2^2 - 96*T1^7*T2^2 + 
     456*T1^8*T2^2 - 456*T2^3 + 2*T1^2*T2^3 + 208*T1^3*T2^3 - 76*T1^4*T2^3 - 
     76*T1^5*T2^3 + 208*T1^6*T2^3 + 2*T1^7*T2^3 - 456*T1^9*T2^3 + 456*T2^4 + 
     90*T1^2*T2^4 - 76*T1^3*T2^4 - 95*T1^4*T2^4 + 67*T1^5*T2^4 - 
     95*T1^6*T2^4 - 76*T1^7*T2^4 + 90*T1^8*T2^4 + 456*T1^10*T2^4 - 408*T2^5 - 
     96*T1*T2^5 + 2*T1^2*T2^5 - 76*T1^3*T2^5 + 67*T1^4*T2^5 + 40*T1^5*T2^5 + 
     40*T1^6*T2^5 + 67*T1^7*T2^5 - 76*T1^8*T2^5 + 2*T1^9*T2^5 - 
     96*T1^10*T2^5 - 408*T1^11*T2^5 + 208*T2^6 + 396*T1*T2^6 - 
     190*T1^2*T2^6 + 208*T1^3*T2^6 - 95*T1^4*T2^6 + 40*T1^5*T2^6 - 
     144*T1^6*T2^6 + 40*T1^7*T2^6 - 95*T1^8*T2^6 + 208*T1^9*T2^6 - 
     190*T1^10*T2^6 + 396*T1^11*T2^6 + 208*T1^12*T2^6 - 408*T1*T2^7 - 
     96*T1^2*T2^7 + 2*T1^3*T2^7 - 76*T1^4*T2^7 + 67*T1^5*T2^7 + 
     40*T1^6*T2^7 + 40*T1^7*T2^7 + 67*T1^8*T2^7 - 76*T1^9*T2^7 + 
     2*T1^10*T2^7 - 96*T1^11*T2^7 - 408*T1^12*T2^7 + 456*T1^2*T2^8 + 
     90*T1^4*T2^8 - 76*T1^5*T2^8 - 95*T1^6*T2^8 + 67*T1^7*T2^8 - 
     95*T1^8*T2^8 - 76*T1^9*T2^8 + 90*T1^10*T2^8 + 456*T1^12*T2^8 - 
     456*T1^3*T2^9 + 2*T1^5*T2^9 + 208*T1^6*T2^9 - 76*T1^7*T2^9 - 
     76*T1^8*T2^9 + 208*T1^9*T2^9 + 2*T1^10*T2^9 - 456*T1^12*T2^9 + 
     456*T1^4*T2^10 - 96*T1^5*T2^10 - 190*T1^6*T2^10 + 2*T1^7*T2^10 + 
     90*T1^8*T2^10 + 2*T1^9*T2^10 - 190*T1^10*T2^10 - 96*T1^11*T2^10 + 
     456*T1^12*T2^10 - 408*T1^5*T2^11 + 396*T1^6*T2^11 - 96*T1^7*T2^11 - 
     96*T1^10*T2^11 + 396*T1^11*T2^11 - 408*T1^12*T2^11 + 208*T1^6*T2^12 - 
     408*T1^7*T2^12 + 456*T1^8*T2^12 - 456*T1^9*T2^12 + 456*T1^10*T2^12 - 
     408*T1^11*T2^12 + 208*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, Alternating, 366] -> {(8 - 20*T + 25*T^2 - 20*T^3 + 8*T^4)/T^2, 
   (2*(608 - 1472*T1 + 1816*T1^2 - 1472*T1^3 + 608*T1^4 - 1472*T2 + 
      2112*T1*T2 - 848*T1^2*T2 - 848*T1^3*T2 + 2112*T1^4*T2 - 1472*T1^5*T2 + 
      1816*T2^2 - 848*T1*T2^2 - 1653*T1^2*T2^2 + 2346*T1^3*T2^2 - 
      1653*T1^4*T2^2 - 848*T1^5*T2^2 + 1816*T1^6*T2^2 - 1472*T2^3 - 
      848*T1*T2^3 + 2346*T1^2*T2^3 - 790*T1^3*T2^3 - 790*T1^4*T2^3 + 
      2346*T1^5*T2^3 - 848*T1^6*T2^3 - 1472*T1^7*T2^3 + 608*T2^4 + 
      2112*T1*T2^4 - 1653*T1^2*T2^4 - 790*T1^3*T2^4 + 1206*T1^4*T2^4 - 
      790*T1^5*T2^4 - 1653*T1^6*T2^4 + 2112*T1^7*T2^4 + 608*T1^8*T2^4 - 
      1472*T1*T2^5 - 848*T1^2*T2^5 + 2346*T1^3*T2^5 - 790*T1^4*T2^5 - 
      790*T1^5*T2^5 + 2346*T1^6*T2^5 - 848*T1^7*T2^5 - 1472*T1^8*T2^5 + 
      1816*T1^2*T2^6 - 848*T1^3*T2^6 - 1653*T1^4*T2^6 + 2346*T1^5*T2^6 - 
      1653*T1^6*T2^6 - 848*T1^7*T2^6 + 1816*T1^8*T2^6 - 1472*T1^3*T2^7 + 
      2112*T1^4*T2^7 - 848*T1^5*T2^7 - 848*T1^6*T2^7 + 2112*T1^7*T2^7 - 
      1472*T1^8*T2^7 + 608*T1^4*T2^8 - 1472*T1^5*T2^8 + 1816*T1^6*T2^8 - 
      1472*T1^7*T2^8 + 608*T1^8*T2^8))/(T1^4*T2^4)}, 
 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, 
   (5 - 5*T1 + 5*T1^2 - 5*T1^3 + 5*T1^4 - 5*T1^5 + 5*T1^6 - 5*T1^7 + 5*T1^8 - 
     5*T1^9 + 5*T1^10 - 5*T2 - 5*T1^11*T2 + 5*T2^2 + 4*T1^2*T2^2 - 
     4*T1^3*T2^2 + 4*T1^4*T2^2 - 4*T1^5*T2^2 + 4*T1^6*T2^2 - 4*T1^7*T2^2 + 
     4*T1^8*T2^2 - 4*T1^9*T2^2 + 4*T1^10*T2^2 + 5*T1^12*T2^2 - 5*T2^3 - 
     4*T1^2*T2^3 - 4*T1^11*T2^3 - 5*T1^13*T2^3 + 5*T2^4 + 4*T1^2*T2^4 + 
     3*T1^4*T2^4 - 3*T1^5*T2^4 + 3*T1^6*T2^4 - 3*T1^7*T2^4 + 3*T1^8*T2^4 - 
     3*T1^9*T2^4 + 3*T1^10*T2^4 + 4*T1^12*T2^4 + 5*T1^14*T2^4 - 5*T2^5 - 
     4*T1^2*T2^5 - 3*T1^4*T2^5 - 3*T1^11*T2^5 - 4*T1^13*T2^5 - 5*T1^15*T2^5 + 
     5*T2^6 + 4*T1^2*T2^6 + 3*T1^4*T2^6 + 2*T1^6*T2^6 - 2*T1^7*T2^6 + 
     2*T1^8*T2^6 - 2*T1^9*T2^6 + 2*T1^10*T2^6 + 3*T1^12*T2^6 + 4*T1^14*T2^6 + 
     5*T1^16*T2^6 - 5*T2^7 - 4*T1^2*T2^7 - 3*T1^4*T2^7 - 2*T1^6*T2^7 - 
     2*T1^11*T2^7 - 3*T1^13*T2^7 - 4*T1^15*T2^7 - 5*T1^17*T2^7 + 5*T2^8 + 
     4*T1^2*T2^8 + 3*T1^4*T2^8 + 2*T1^6*T2^8 + T1^8*T2^8 - T1^9*T2^8 + 
     T1^10*T2^8 + 2*T1^12*T2^8 + 3*T1^14*T2^8 + 4*T1^16*T2^8 + 5*T1^18*T2^8 - 
     5*T2^9 - 4*T1^2*T2^9 - 3*T1^4*T2^9 - 2*T1^6*T2^9 - T1^8*T2^9 - 
     T1^11*T2^9 - 2*T1^13*T2^9 - 3*T1^15*T2^9 - 4*T1^17*T2^9 - 5*T1^19*T2^9 + 
     5*T2^10 + 4*T1^2*T2^10 + 3*T1^4*T2^10 + 2*T1^6*T2^10 + T1^8*T2^10 + 
     T1^12*T2^10 + 2*T1^14*T2^10 + 3*T1^16*T2^10 + 4*T1^18*T2^10 + 
     5*T1^20*T2^10 - 5*T1*T2^11 - 4*T1^3*T2^11 - 3*T1^5*T2^11 - 
     2*T1^7*T2^11 - T1^9*T2^11 - T1^12*T2^11 - 2*T1^14*T2^11 - 
     3*T1^16*T2^11 - 4*T1^18*T2^11 - 5*T1^20*T2^11 + 5*T1^2*T2^12 + 
     4*T1^4*T2^12 + 3*T1^6*T2^12 + 2*T1^8*T2^12 + T1^10*T2^12 - T1^11*T2^12 + 
     T1^12*T2^12 + 2*T1^14*T2^12 + 3*T1^16*T2^12 + 4*T1^18*T2^12 + 
     5*T1^20*T2^12 - 5*T1^3*T2^13 - 4*T1^5*T2^13 - 3*T1^7*T2^13 - 
     2*T1^9*T2^13 - 2*T1^14*T2^13 - 3*T1^16*T2^13 - 4*T1^18*T2^13 - 
     5*T1^20*T2^13 + 5*T1^4*T2^14 + 4*T1^6*T2^14 + 3*T1^8*T2^14 + 
     2*T1^10*T2^14 - 2*T1^11*T2^14 + 2*T1^12*T2^14 - 2*T1^13*T2^14 + 
     2*T1^14*T2^14 + 3*T1^16*T2^14 + 4*T1^18*T2^14 + 5*T1^20*T2^14 - 
     5*T1^5*T2^15 - 4*T1^7*T2^15 - 3*T1^9*T2^15 - 3*T1^16*T2^15 - 
     4*T1^18*T2^15 - 5*T1^20*T2^15 + 5*T1^6*T2^16 + 4*T1^8*T2^16 + 
     3*T1^10*T2^16 - 3*T1^11*T2^16 + 3*T1^12*T2^16 - 3*T1^13*T2^16 + 
     3*T1^14*T2^16 - 3*T1^15*T2^16 + 3*T1^16*T2^16 + 4*T1^18*T2^16 + 
     5*T1^20*T2^16 - 5*T1^7*T2^17 - 4*T1^9*T2^17 - 4*T1^18*T2^17 - 
     5*T1^20*T2^17 + 5*T1^8*T2^18 + 4*T1^10*T2^18 - 4*T1^11*T2^18 + 
     4*T1^12*T2^18 - 4*T1^13*T2^18 + 4*T1^14*T2^18 - 4*T1^15*T2^18 + 
     4*T1^16*T2^18 - 4*T1^17*T2^18 + 4*T1^18*T2^18 + 5*T1^20*T2^18 - 
     5*T1^9*T2^19 - 5*T1^20*T2^19 + 5*T1^10*T2^20 - 5*T1^11*T2^20 + 
     5*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 + 5*T1^18*T2^20 - 5*T1^19*T2^20 + 
     5*T1^20*T2^20)/(T1^10*T2^10)}, 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 + 50*T1*T2 - 31*T1^2*T2 - 
     31*T1^3*T2 + 50*T1^4*T2 - 7*T1^5*T2 + 11*T2^2 - 31*T1*T2^2 - 
     321*T1^2*T2^2 + 549*T1^3*T2^2 - 321*T1^4*T2^2 - 31*T1^5*T2^2 + 
     11*T1^6*T2^2 - 7*T2^3 - 31*T1*T2^3 + 549*T1^2*T2^3 - 352*T1^3*T2^3 - 
     352*T1^4*T2^3 + 549*T1^5*T2^3 - 31*T1^6*T2^3 - 7*T1^7*T2^3 + T2^4 + 
     50*T1*T2^4 - 321*T1^2*T2^4 - 352*T1^3*T2^4 + 828*T1^4*T2^4 - 
     352*T1^5*T2^4 - 321*T1^6*T2^4 + 50*T1^7*T2^4 + T1^8*T2^4 - 7*T1*T2^5 - 
     31*T1^2*T2^5 + 549*T1^3*T2^5 - 352*T1^4*T2^5 - 352*T1^5*T2^5 + 
     549*T1^6*T2^5 - 31*T1^7*T2^5 - 7*T1^8*T2^5 + 11*T1^2*T2^6 - 
     31*T1^3*T2^6 - 321*T1^4*T2^6 + 549*T1^5*T2^6 - 321*T1^6*T2^6 - 
     31*T1^7*T2^6 + 11*T1^8*T2^6 - 7*T1^3*T2^7 + 50*T1^4*T2^7 - 
     31*T1^5*T2^7 - 31*T1^6*T2^7 + 50*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)/(T1^4*T2^4)}, 
 Knot[11, NonAlternating, 2] -> 
  {-((2 - 8*T + 12*T^2 - 13*T^3 + 12*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((17 - 67*T1 + 98*T1^2 - 105*T1^3 + 98*T1^4 - 67*T1^5 + 17*T1^6 - 67*T2 + 
      198*T1*T2 - 125*T1^2*T2 + 29*T1^3*T2 + 29*T1^4*T2 - 125*T1^5*T2 + 
      198*T1^6*T2 - 67*T1^7*T2 + 98*T2^2 - 125*T1*T2^2 - 370*T1^2*T2^2 + 
      544*T1^3*T2^2 - 524*T1^4*T2^2 + 544*T1^5*T2^2 - 370*T1^6*T2^2 - 
      125*T1^7*T2^2 + 98*T1^8*T2^2 - 105*T2^3 + 29*T1*T2^3 + 544*T1^2*T2^3 - 
      252*T1^3*T2^3 + 12*T1^4*T2^3 + 12*T1^5*T2^3 - 252*T1^6*T2^3 + 
      544*T1^7*T2^3 + 29*T1^8*T2^3 - 105*T1^9*T2^3 + 98*T2^4 + 29*T1*T2^4 - 
      524*T1^2*T2^4 + 12*T1^3*T2^4 - 2*T1^4*T2^4 + 108*T1^5*T2^4 - 
      2*T1^6*T2^4 + 12*T1^7*T2^4 - 524*T1^8*T2^4 + 29*T1^9*T2^4 + 
      98*T1^10*T2^4 - 67*T2^5 - 125*T1*T2^5 + 544*T1^2*T2^5 + 12*T1^3*T2^5 + 
      108*T1^4*T2^5 - 70*T1^5*T2^5 - 70*T1^6*T2^5 + 108*T1^7*T2^5 + 
      12*T1^8*T2^5 + 544*T1^9*T2^5 - 125*T1^10*T2^5 - 67*T1^11*T2^5 + 
      17*T2^6 + 198*T1*T2^6 - 370*T1^2*T2^6 - 252*T1^3*T2^6 - 2*T1^4*T2^6 - 
      70*T1^5*T2^6 + 108*T1^6*T2^6 - 70*T1^7*T2^6 - 2*T1^8*T2^6 - 
      252*T1^9*T2^6 - 370*T1^10*T2^6 + 198*T1^11*T2^6 + 17*T1^12*T2^6 - 
      67*T1*T2^7 - 125*T1^2*T2^7 + 544*T1^3*T2^7 + 12*T1^4*T2^7 + 
      108*T1^5*T2^7 - 70*T1^6*T2^7 - 70*T1^7*T2^7 + 108*T1^8*T2^7 + 
      12*T1^9*T2^7 + 544*T1^10*T2^7 - 125*T1^11*T2^7 - 67*T1^12*T2^7 + 
      98*T1^2*T2^8 + 29*T1^3*T2^8 - 524*T1^4*T2^8 + 12*T1^5*T2^8 - 
      2*T1^6*T2^8 + 108*T1^7*T2^8 - 2*T1^8*T2^8 + 12*T1^9*T2^8 - 
      524*T1^10*T2^8 + 29*T1^11*T2^8 + 98*T1^12*T2^8 - 105*T1^3*T2^9 + 
      29*T1^4*T2^9 + 544*T1^5*T2^9 - 252*T1^6*T2^9 + 12*T1^7*T2^9 + 
      12*T1^8*T2^9 - 252*T1^9*T2^9 + 544*T1^10*T2^9 + 29*T1^11*T2^9 - 
      105*T1^12*T2^9 + 98*T1^4*T2^10 - 125*T1^5*T2^10 - 370*T1^6*T2^10 + 
      544*T1^7*T2^10 - 524*T1^8*T2^10 + 544*T1^9*T2^10 - 370*T1^10*T2^10 - 
      125*T1^11*T2^10 + 98*T1^12*T2^10 - 67*T1^5*T2^11 + 198*T1^6*T2^11 - 
      125*T1^7*T2^11 + 29*T1^8*T2^11 + 29*T1^9*T2^11 - 125*T1^10*T2^11 + 
      198*T1^11*T2^11 - 67*T1^12*T2^11 + 17*T1^6*T2^12 - 67*T1^7*T2^12 + 
      98*T1^8*T2^12 - 105*T1^9*T2^12 + 98*T1^10*T2^12 - 67*T1^11*T2^12 + 
      17*T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, NonAlternating, 3] -> 
  {-((3 - 11*T + 15*T^2 - 11*T^3 + 3*T^4)/T^2), 
   (24 - 84*T1 + 112*T1^2 - 84*T1^3 + 24*T1^4 - 84*T2 + 212*T1*T2 - 
     103*T1^2*T2 - 103*T1^3*T2 + 212*T1^4*T2 - 84*T1^5*T2 + 112*T2^2 - 
     103*T1*T2^2 - 391*T1^2*T2^2 + 631*T1^3*T2^2 - 391*T1^4*T2^2 - 
     103*T1^5*T2^2 + 112*T1^6*T2^2 - 84*T2^3 - 103*T1*T2^3 + 631*T1^2*T2^3 - 
     340*T1^3*T2^3 - 340*T1^4*T2^3 + 631*T1^5*T2^3 - 103*T1^6*T2^3 - 
     84*T1^7*T2^3 + 24*T2^4 + 212*T1*T2^4 - 391*T1^2*T2^4 - 340*T1^3*T2^4 + 
     756*T1^4*T2^4 - 340*T1^5*T2^4 - 391*T1^6*T2^4 + 212*T1^7*T2^4 + 
     24*T1^8*T2^4 - 84*T1*T2^5 - 103*T1^2*T2^5 + 631*T1^3*T2^5 - 
     340*T1^4*T2^5 - 340*T1^5*T2^5 + 631*T1^6*T2^5 - 103*T1^7*T2^5 - 
     84*T1^8*T2^5 + 112*T1^2*T2^6 - 103*T1^3*T2^6 - 391*T1^4*T2^6 + 
     631*T1^5*T2^6 - 391*T1^6*T2^6 - 103*T1^7*T2^6 + 112*T1^8*T2^6 - 
     84*T1^3*T2^7 + 212*T1^4*T2^7 - 103*T1^5*T2^7 - 103*T1^6*T2^7 + 
     212*T1^7*T2^7 - 84*T1^8*T2^7 + 24*T1^4*T2^8 - 84*T1^5*T2^8 + 
     112*T1^6*T2^8 - 84*T1^7*T2^8 + 24*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[11, NonAlternating, 4] -> 
  {-(((-1 + 2*T - 3*T^2 + T^3)*(-1 + 3*T - 2*T^2 + T^3))/T^3), 
   -((9 - 32*T1 + 41*T1^2 - 32*T1^3 + 9*T1^4 - 32*T2 + 84*T1*T2 - 
      32*T1^2*T2 - 32*T1^3*T2 + 84*T1^4*T2 - 32*T1^5*T2 + 41*T2^2 - 
      32*T1*T2^2 - 201*T1^2*T2^2 + 251*T1^3*T2^2 - 201*T1^4*T2^2 - 
      32*T1^5*T2^2 + 41*T1^6*T2^2 - 32*T2^3 - 32*T1*T2^3 + 251*T1^2*T2^3 - 
      60*T1^3*T2^3 - 60*T1^4*T2^3 + 251*T1^5*T2^3 - 32*T1^6*T2^3 - 
      32*T1^7*T2^3 + 9*T2^4 + 84*T1*T2^4 - 201*T1^2*T2^4 - 60*T1^3*T2^4 + 
      24*T1^4*T2^4 - 60*T1^5*T2^4 - 201*T1^6*T2^4 + 84*T1^7*T2^4 + 
      9*T1^8*T2^4 - 32*T1*T2^5 - 32*T1^2*T2^5 + 251*T1^3*T2^5 - 
      60*T1^4*T2^5 - 60*T1^5*T2^5 + 251*T1^6*T2^5 - 32*T1^7*T2^5 - 
      32*T1^8*T2^5 + 41*T1^2*T2^6 - 32*T1^3*T2^6 - 201*T1^4*T2^6 + 
      251*T1^5*T2^6 - 201*T1^6*T2^6 - 32*T1^7*T2^6 + 41*T1^8*T2^6 - 
      32*T1^3*T2^7 + 84*T1^4*T2^7 - 32*T1^5*T2^7 - 32*T1^6*T2^7 + 
      84*T1^7*T2^7 - 32*T1^8*T2^7 + 9*T1^4*T2^8 - 32*T1^5*T2^8 + 
      41*T1^6*T2^8 - 32*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[11, NonAlternating, 5] -> 
  {(1 - 7*T + 17*T^2 - 21*T^3 + 17*T^4 - 7*T^5 + T^6)/T^3, 
   (1 - 7*T1 + 17*T1^2 - 21*T1^3 + 17*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
     42*T1*T2 - 68*T1^2*T2 + 25*T1^3*T2 + 25*T1^4*T2 - 68*T1^5*T2 + 
     42*T1^6*T2 - 7*T1^7*T2 + 17*T2^2 - 68*T1*T2^2 - 55*T1^2*T2^2 + 
     381*T1^3*T2^2 - 451*T1^4*T2^2 + 381*T1^5*T2^2 - 55*T1^6*T2^2 - 
     68*T1^7*T2^2 + 17*T1^8*T2^2 - 21*T2^3 + 25*T1*T2^3 + 381*T1^2*T2^3 - 
     774*T1^3*T2^3 + 223*T1^4*T2^3 + 223*T1^5*T2^3 - 774*T1^6*T2^3 + 
     381*T1^7*T2^3 + 25*T1^8*T2^3 - 21*T1^9*T2^3 + 17*T2^4 + 25*T1*T2^4 - 
     451*T1^2*T2^4 + 223*T1^3*T2^4 + 1183*T1^4*T2^4 - 1285*T1^5*T2^4 + 
     1183*T1^6*T2^4 + 223*T1^7*T2^4 - 451*T1^8*T2^4 + 25*T1^9*T2^4 + 
     17*T1^10*T2^4 - 7*T2^5 - 68*T1*T2^5 + 381*T1^2*T2^5 + 223*T1^3*T2^5 - 
     1285*T1^4*T2^5 + 220*T1^5*T2^5 + 220*T1^6*T2^5 - 1285*T1^7*T2^5 + 
     223*T1^8*T2^5 + 381*T1^9*T2^5 - 68*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
     42*T1*T2^6 - 55*T1^2*T2^6 - 774*T1^3*T2^6 + 1183*T1^4*T2^6 + 
     220*T1^5*T2^6 - 12*T1^6*T2^6 + 220*T1^7*T2^6 + 1183*T1^8*T2^6 - 
     774*T1^9*T2^6 - 55*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 7*T1*T2^7 - 
     68*T1^2*T2^7 + 381*T1^3*T2^7 + 223*T1^4*T2^7 - 1285*T1^5*T2^7 + 
     220*T1^6*T2^7 + 220*T1^7*T2^7 - 1285*T1^8*T2^7 + 223*T1^9*T2^7 + 
     381*T1^10*T2^7 - 68*T1^11*T2^7 - 7*T1^12*T2^7 + 17*T1^2*T2^8 + 
     25*T1^3*T2^8 - 451*T1^4*T2^8 + 223*T1^5*T2^8 + 1183*T1^6*T2^8 - 
     1285*T1^7*T2^8 + 1183*T1^8*T2^8 + 223*T1^9*T2^8 - 451*T1^10*T2^8 + 
     25*T1^11*T2^8 + 17*T1^12*T2^8 - 21*T1^3*T2^9 + 25*T1^4*T2^9 + 
     381*T1^5*T2^9 - 774*T1^6*T2^9 + 223*T1^7*T2^9 + 223*T1^8*T2^9 - 
     774*T1^9*T2^9 + 381*T1^10*T2^9 + 25*T1^11*T2^9 - 21*T1^12*T2^9 + 
     17*T1^4*T2^10 - 68*T1^5*T2^10 - 55*T1^6*T2^10 + 381*T1^7*T2^10 - 
     451*T1^8*T2^10 + 381*T1^9*T2^10 - 55*T1^10*T2^10 - 68*T1^11*T2^10 + 
     17*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 68*T1^7*T2^11 + 
     25*T1^8*T2^11 + 25*T1^9*T2^11 - 68*T1^10*T2^11 + 42*T1^11*T2^11 - 
     7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 17*T1^8*T2^12 - 
     21*T1^9*T2^12 + 17*T1^10*T2^12 - 7*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, NonAlternating, 6] -> 
  {-((1 - 3*T + 3*T^2 - 3*T^3 + 3*T^4 - 3*T^5 + T^6)/T^3), 
   (2 - 5*T1 + 2*T1^2 + 2*T1^3 - 5*T1^4 + 2*T1^5 - 5*T2 + 8*T1*T2 + 
     2*T1^2*T2 - 2*T1^3*T2 + 2*T1^4*T2 + 8*T1^5*T2 - 5*T1^6*T2 + 2*T2^2 + 
     2*T1*T2^2 - 4*T1^2*T2^2 - T1^3*T2^2 - T1^4*T2^2 - 4*T1^5*T2^2 + 
     2*T1^6*T2^2 + 2*T1^7*T2^2 + 2*T2^3 - 2*T1*T2^3 - T1^2*T2^3 - 
     49*T1^3*T2^3 + 57*T1^4*T2^3 - 49*T1^5*T2^3 - T1^6*T2^3 - 2*T1^7*T2^3 + 
     2*T1^8*T2^3 - 5*T2^4 + 2*T1*T2^4 - T1^2*T2^4 + 57*T1^3*T2^4 + 
     57*T1^6*T2^4 - T1^7*T2^4 + 2*T1^8*T2^4 - 5*T1^9*T2^4 + 2*T2^5 + 
     8*T1*T2^5 - 4*T1^2*T2^5 - 49*T1^3*T2^5 - 48*T1^5*T2^5 - 49*T1^7*T2^5 - 
     4*T1^8*T2^5 + 8*T1^9*T2^5 + 2*T1^10*T2^5 - 5*T1*T2^6 + 2*T1^2*T2^6 - 
     T1^3*T2^6 + 57*T1^4*T2^6 + 57*T1^7*T2^6 - T1^8*T2^6 + 2*T1^9*T2^6 - 
     5*T1^10*T2^6 + 2*T1^2*T2^7 - 2*T1^3*T2^7 - T1^4*T2^7 - 49*T1^5*T2^7 + 
     57*T1^6*T2^7 - 49*T1^7*T2^7 - T1^8*T2^7 - 2*T1^9*T2^7 + 2*T1^10*T2^7 + 
     2*T1^3*T2^8 + 2*T1^4*T2^8 - 4*T1^5*T2^8 - T1^6*T2^8 - T1^7*T2^8 - 
     4*T1^8*T2^8 + 2*T1^9*T2^8 + 2*T1^10*T2^8 - 5*T1^4*T2^9 + 8*T1^5*T2^9 + 
     2*T1^6*T2^9 - 2*T1^7*T2^9 + 2*T1^8*T2^9 + 8*T1^9*T2^9 - 5*T1^10*T2^9 + 
     2*T1^5*T2^10 - 5*T1^6*T2^10 + 2*T1^7*T2^10 + 2*T1^8*T2^10 - 
     5*T1^9*T2^10 + 2*T1^10*T2^10)/(T1^5*T2^5)}, 
 Knot[11, NonAlternating, 7] -> 
  {(1 - 6*T + 16*T^2 - 21*T^3 + 16*T^4 - 6*T^5 + T^6)/T^3, 
   (1 - 6*T1 + 16*T1^2 - 21*T1^3 + 16*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     30*T1*T2 - 60*T1^2*T2 + 30*T1^3*T2 + 30*T1^4*T2 - 60*T1^5*T2 + 
     30*T1^6*T2 - 6*T1^7*T2 + 16*T2^2 - 60*T1*T2^2 + 53*T1^2*T2^2 + 
     147*T1^3*T2^2 - 251*T1^4*T2^2 + 147*T1^5*T2^2 + 53*T1^6*T2^2 - 
     60*T1^7*T2^2 + 16*T1^8*T2^2 - 21*T2^3 + 30*T1*T2^3 + 147*T1^2*T2^3 - 
     516*T1^3*T2^3 + 271*T1^4*T2^3 + 271*T1^5*T2^3 - 516*T1^6*T2^3 + 
     147*T1^7*T2^3 + 30*T1^8*T2^3 - 21*T1^9*T2^3 + 16*T2^4 + 30*T1*T2^4 - 
     251*T1^2*T2^4 + 271*T1^3*T2^4 + 776*T1^4*T2^4 - 1340*T1^5*T2^4 + 
     776*T1^6*T2^4 + 271*T1^7*T2^4 - 251*T1^8*T2^4 + 30*T1^9*T2^4 + 
     16*T1^10*T2^4 - 6*T2^5 - 60*T1*T2^5 + 147*T1^2*T2^5 + 271*T1^3*T2^5 - 
     1340*T1^4*T2^5 + 748*T1^5*T2^5 + 748*T1^6*T2^5 - 1340*T1^7*T2^5 + 
     271*T1^8*T2^5 + 147*T1^9*T2^5 - 60*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     30*T1*T2^6 + 53*T1^2*T2^6 - 516*T1^3*T2^6 + 776*T1^4*T2^6 + 
     748*T1^5*T2^6 - 1656*T1^6*T2^6 + 748*T1^7*T2^6 + 776*T1^8*T2^6 - 
     516*T1^9*T2^6 + 53*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
     60*T1^2*T2^7 + 147*T1^3*T2^7 + 271*T1^4*T2^7 - 1340*T1^5*T2^7 + 
     748*T1^6*T2^7 + 748*T1^7*T2^7 - 1340*T1^8*T2^7 + 271*T1^9*T2^7 + 
     147*T1^10*T2^7 - 60*T1^11*T2^7 - 6*T1^12*T2^7 + 16*T1^2*T2^8 + 
     30*T1^3*T2^8 - 251*T1^4*T2^8 + 271*T1^5*T2^8 + 776*T1^6*T2^8 - 
     1340*T1^7*T2^8 + 776*T1^8*T2^8 + 271*T1^9*T2^8 - 251*T1^10*T2^8 + 
     30*T1^11*T2^8 + 16*T1^12*T2^8 - 21*T1^3*T2^9 + 30*T1^4*T2^9 + 
     147*T1^5*T2^9 - 516*T1^6*T2^9 + 271*T1^7*T2^9 + 271*T1^8*T2^9 - 
     516*T1^9*T2^9 + 147*T1^10*T2^9 + 30*T1^11*T2^9 - 21*T1^12*T2^9 + 
     16*T1^4*T2^10 - 60*T1^5*T2^10 + 53*T1^6*T2^10 + 147*T1^7*T2^10 - 
     251*T1^8*T2^10 + 147*T1^9*T2^10 + 53*T1^10*T2^10 - 60*T1^11*T2^10 + 
     16*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 60*T1^7*T2^11 + 
     30*T1^8*T2^11 + 30*T1^9*T2^11 - 60*T1^10*T2^11 + 30*T1^11*T2^11 - 
     6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 16*T1^8*T2^12 - 
     21*T1^9*T2^12 + 16*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, NonAlternating, 8] -> 
  {-((1 - 6*T + 12*T^2 - 15*T^3 + 12*T^4 - 6*T^5 + T^6)/T^3), 
   (2 - 12*T1 + 24*T1^2 - 30*T1^3 + 24*T1^4 - 12*T1^5 + 2*T1^6 - 12*T2 + 
     60*T1*T2 - 72*T1^2*T2 + 36*T1^3*T2 + 36*T1^4*T2 - 72*T1^5*T2 + 
     60*T1^6*T2 - 12*T1^7*T2 + 24*T2^2 - 72*T1*T2^2 - 107*T1^2*T2^2 + 
     331*T1^3*T2^2 - 465*T1^4*T2^2 + 331*T1^5*T2^2 - 107*T1^6*T2^2 - 
     72*T1^7*T2^2 + 24*T1^8*T2^2 - 30*T2^3 + 36*T1*T2^3 + 331*T1^2*T2^3 - 
     428*T1^3*T2^3 + 240*T1^4*T2^3 + 240*T1^5*T2^3 - 428*T1^6*T2^3 + 
     331*T1^7*T2^3 + 36*T1^8*T2^3 - 30*T1^9*T2^3 + 24*T2^4 + 36*T1*T2^4 - 
     465*T1^2*T2^4 + 240*T1^3*T2^4 + 124*T1^4*T2^4 - 456*T1^5*T2^4 + 
     124*T1^6*T2^4 + 240*T1^7*T2^4 - 465*T1^8*T2^4 + 36*T1^9*T2^4 + 
     24*T1^10*T2^4 - 12*T2^5 - 72*T1*T2^5 + 331*T1^2*T2^5 + 240*T1^3*T2^5 - 
     456*T1^4*T2^5 + 338*T1^5*T2^5 + 338*T1^6*T2^5 - 456*T1^7*T2^5 + 
     240*T1^8*T2^5 + 331*T1^9*T2^5 - 72*T1^10*T2^5 - 12*T1^11*T2^5 + 2*T2^6 + 
     60*T1*T2^6 - 107*T1^2*T2^6 - 428*T1^3*T2^6 + 124*T1^4*T2^6 + 
     338*T1^5*T2^6 - 792*T1^6*T2^6 + 338*T1^7*T2^6 + 124*T1^8*T2^6 - 
     428*T1^9*T2^6 - 107*T1^10*T2^6 + 60*T1^11*T2^6 + 2*T1^12*T2^6 - 
     12*T1*T2^7 - 72*T1^2*T2^7 + 331*T1^3*T2^7 + 240*T1^4*T2^7 - 
     456*T1^5*T2^7 + 338*T1^6*T2^7 + 338*T1^7*T2^7 - 456*T1^8*T2^7 + 
     240*T1^9*T2^7 + 331*T1^10*T2^7 - 72*T1^11*T2^7 - 12*T1^12*T2^7 + 
     24*T1^2*T2^8 + 36*T1^3*T2^8 - 465*T1^4*T2^8 + 240*T1^5*T2^8 + 
     124*T1^6*T2^8 - 456*T1^7*T2^8 + 124*T1^8*T2^8 + 240*T1^9*T2^8 - 
     465*T1^10*T2^8 + 36*T1^11*T2^8 + 24*T1^12*T2^8 - 30*T1^3*T2^9 + 
     36*T1^4*T2^9 + 331*T1^5*T2^9 - 428*T1^6*T2^9 + 240*T1^7*T2^9 + 
     240*T1^8*T2^9 - 428*T1^9*T2^9 + 331*T1^10*T2^9 + 36*T1^11*T2^9 - 
     30*T1^12*T2^9 + 24*T1^4*T2^10 - 72*T1^5*T2^10 - 107*T1^6*T2^10 + 
     331*T1^7*T2^10 - 465*T1^8*T2^10 + 331*T1^9*T2^10 - 107*T1^10*T2^10 - 
     72*T1^11*T2^10 + 24*T1^12*T2^10 - 12*T1^5*T2^11 + 60*T1^6*T2^11 - 
     72*T1^7*T2^11 + 36*T1^8*T2^11 + 36*T1^9*T2^11 - 72*T1^10*T2^11 + 
     60*T1^11*T2^11 - 12*T1^12*T2^11 + 2*T1^6*T2^12 - 12*T1^7*T2^12 + 
     24*T1^8*T2^12 - 30*T1^9*T2^12 + 24*T1^10*T2^12 - 12*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^6*T2^6)}, 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), 
   -((3 - 9*T1 + 3*T1^2 + 12*T1^3 - 21*T1^4 + 12*T1^5 + 3*T1^6 - 9*T1^7 + 
      3*T1^8 - 9*T2 + 18*T1*T2 + 18*T1^2*T2 - 45*T1^3*T2 + 27*T1^4*T2 + 
      27*T1^5*T2 - 45*T1^6*T2 + 18*T1^7*T2 + 18*T1^8*T2 - 9*T1^9*T2 + 
      3*T2^2 + 18*T1*T2^2 - 73*T1^2*T2^2 + 27*T1^3*T2^2 + 88*T1^4*T2^2 - 
      159*T1^5*T2^2 + 88*T1^6*T2^2 + 27*T1^7*T2^2 - 73*T1^8*T2^2 + 
      18*T1^9*T2^2 + 3*T1^10*T2^2 + 12*T2^3 - 45*T1*T2^3 + 27*T1^2*T2^3 + 
      74*T1^3*T2^3 - 138*T1^4*T2^3 + 70*T1^5*T2^3 + 70*T1^6*T2^3 - 
      138*T1^7*T2^3 + 74*T1^8*T2^3 + 27*T1^9*T2^3 - 45*T1^10*T2^3 + 
      12*T1^11*T2^3 - 21*T2^4 + 27*T1*T2^4 + 88*T1^2*T2^4 - 138*T1^3*T2^4 + 
      46*T1^4*T2^4 + 170*T1^5*T2^4 - 262*T1^6*T2^4 + 170*T1^7*T2^4 + 
      46*T1^8*T2^4 - 138*T1^9*T2^4 + 88*T1^10*T2^4 + 27*T1^11*T2^4 - 
      21*T1^12*T2^4 + 12*T2^5 + 27*T1*T2^5 - 159*T1^2*T2^5 + 70*T1^3*T2^5 + 
      170*T1^4*T2^5 - 340*T1^5*T2^5 + 160*T1^6*T2^5 + 160*T1^7*T2^5 - 
      340*T1^8*T2^5 + 170*T1^9*T2^5 + 70*T1^10*T2^5 - 159*T1^11*T2^5 + 
      27*T1^12*T2^5 + 12*T1^13*T2^5 + 3*T2^6 - 45*T1*T2^6 + 88*T1^2*T2^6 + 
      70*T1^3*T2^6 - 262*T1^4*T2^6 + 160*T1^5*T2^6 + 188*T1^6*T2^6 - 
      374*T1^7*T2^6 + 188*T1^8*T2^6 + 160*T1^9*T2^6 - 262*T1^10*T2^6 + 
      70*T1^11*T2^6 + 88*T1^12*T2^6 - 45*T1^13*T2^6 + 3*T1^14*T2^6 - 9*T2^7 + 
      18*T1*T2^7 + 27*T1^2*T2^7 - 138*T1^3*T2^7 + 170*T1^4*T2^7 + 
      160*T1^5*T2^7 - 374*T1^6*T2^7 + 212*T1^7*T2^7 + 212*T1^8*T2^7 - 
      374*T1^9*T2^7 + 160*T1^10*T2^7 + 170*T1^11*T2^7 - 138*T1^12*T2^7 + 
      27*T1^13*T2^7 + 18*T1^14*T2^7 - 9*T1^15*T2^7 + 3*T2^8 + 18*T1*T2^8 - 
      73*T1^2*T2^8 + 74*T1^3*T2^8 + 46*T1^4*T2^8 - 340*T1^5*T2^8 + 
      188*T1^6*T2^8 + 212*T1^7*T2^8 - 468*T1^8*T2^8 + 212*T1^9*T2^8 + 
      188*T1^10*T2^8 - 340*T1^11*T2^8 + 46*T1^12*T2^8 + 74*T1^13*T2^8 - 
      73*T1^14*T2^8 + 18*T1^15*T2^8 + 3*T1^16*T2^8 - 9*T1*T2^9 + 
      18*T1^2*T2^9 + 27*T1^3*T2^9 - 138*T1^4*T2^9 + 170*T1^5*T2^9 + 
      160*T1^6*T2^9 - 374*T1^7*T2^9 + 212*T1^8*T2^9 + 212*T1^9*T2^9 - 
      374*T1^10*T2^9 + 160*T1^11*T2^9 + 170*T1^12*T2^9 - 138*T1^13*T2^9 + 
      27*T1^14*T2^9 + 18*T1^15*T2^9 - 9*T1^16*T2^9 + 3*T1^2*T2^10 - 
      45*T1^3*T2^10 + 88*T1^4*T2^10 + 70*T1^5*T2^10 - 262*T1^6*T2^10 + 
      160*T1^7*T2^10 + 188*T1^8*T2^10 - 374*T1^9*T2^10 + 188*T1^10*T2^10 + 
      160*T1^11*T2^10 - 262*T1^12*T2^10 + 70*T1^13*T2^10 + 88*T1^14*T2^10 - 
      45*T1^15*T2^10 + 3*T1^16*T2^10 + 12*T1^3*T2^11 + 27*T1^4*T2^11 - 
      159*T1^5*T2^11 + 70*T1^6*T2^11 + 170*T1^7*T2^11 - 340*T1^8*T2^11 + 
      160*T1^9*T2^11 + 160*T1^10*T2^11 - 340*T1^11*T2^11 + 170*T1^12*T2^11 + 
      70*T1^13*T2^11 - 159*T1^14*T2^11 + 27*T1^15*T2^11 + 12*T1^16*T2^11 - 
      21*T1^4*T2^12 + 27*T1^5*T2^12 + 88*T1^6*T2^12 - 138*T1^7*T2^12 + 
      46*T1^8*T2^12 + 170*T1^9*T2^12 - 262*T1^10*T2^12 + 170*T1^11*T2^12 + 
      46*T1^12*T2^12 - 138*T1^13*T2^12 + 88*T1^14*T2^12 + 27*T1^15*T2^12 - 
      21*T1^16*T2^12 + 12*T1^5*T2^13 - 45*T1^6*T2^13 + 27*T1^7*T2^13 + 
      74*T1^8*T2^13 - 138*T1^9*T2^13 + 70*T1^10*T2^13 + 70*T1^11*T2^13 - 
      138*T1^12*T2^13 + 74*T1^13*T2^13 + 27*T1^14*T2^13 - 45*T1^15*T2^13 + 
      12*T1^16*T2^13 + 3*T1^6*T2^14 + 18*T1^7*T2^14 - 73*T1^8*T2^14 + 
      27*T1^9*T2^14 + 88*T1^10*T2^14 - 159*T1^11*T2^14 + 88*T1^12*T2^14 + 
      27*T1^13*T2^14 - 73*T1^14*T2^14 + 18*T1^15*T2^14 + 3*T1^16*T2^14 - 
      9*T1^7*T2^15 + 18*T1^8*T2^15 + 18*T1^9*T2^15 - 45*T1^10*T2^15 + 
      27*T1^11*T2^15 + 27*T1^12*T2^15 - 45*T1^13*T2^15 + 18*T1^14*T2^15 + 
      18*T1^15*T2^15 - 9*T1^16*T2^15 + 3*T1^8*T2^16 - 9*T1^9*T2^16 + 
      3*T1^10*T2^16 + 12*T1^11*T2^16 - 21*T1^12*T2^16 + 12*T1^13*T2^16 + 
      3*T1^14*T2^16 - 9*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[11, NonAlternating, 10] -> 
  {-((1 - 7*T + 15*T^2 - 19*T^3 + 15*T^4 - 7*T^5 + T^6)/T^3), 
   (2 - 14*T1 + 30*T1^2 - 38*T1^3 + 30*T1^4 - 14*T1^5 + 2*T1^6 - 14*T2 + 
     86*T1*T2 - 112*T1^2*T2 + 56*T1^3*T2 + 56*T1^4*T2 - 112*T1^5*T2 + 
     86*T1^6*T2 - 14*T1^7*T2 + 30*T2^2 - 112*T1*T2^2 - 238*T1^2*T2^2 + 
     740*T1^3*T2^2 - 1022*T1^4*T2^2 + 740*T1^5*T2^2 - 238*T1^6*T2^2 - 
     112*T1^7*T2^2 + 30*T1^8*T2^2 - 38*T2^3 + 56*T1*T2^3 + 740*T1^2*T2^3 - 
     1046*T1^3*T2^3 + 564*T1^4*T2^3 + 564*T1^5*T2^3 - 1046*T1^6*T2^3 + 
     740*T1^7*T2^3 + 56*T1^8*T2^3 - 38*T1^9*T2^3 + 30*T2^4 + 56*T1*T2^4 - 
     1022*T1^2*T2^4 + 564*T1^3*T2^4 + 409*T1^4*T2^4 - 1181*T1^5*T2^4 + 
     409*T1^6*T2^4 + 564*T1^7*T2^4 - 1022*T1^8*T2^4 + 56*T1^9*T2^4 + 
     30*T1^10*T2^4 - 14*T2^5 - 112*T1*T2^5 + 740*T1^2*T2^5 + 564*T1^3*T2^5 - 
     1181*T1^4*T2^5 + 816*T1^5*T2^5 + 816*T1^6*T2^5 - 1181*T1^7*T2^5 + 
     564*T1^8*T2^5 + 740*T1^9*T2^5 - 112*T1^10*T2^5 - 14*T1^11*T2^5 + 
     2*T2^6 + 86*T1*T2^6 - 238*T1^2*T2^6 - 1046*T1^3*T2^6 + 409*T1^4*T2^6 + 
     816*T1^5*T2^6 - 1896*T1^6*T2^6 + 816*T1^7*T2^6 + 409*T1^8*T2^6 - 
     1046*T1^9*T2^6 - 238*T1^10*T2^6 + 86*T1^11*T2^6 + 2*T1^12*T2^6 - 
     14*T1*T2^7 - 112*T1^2*T2^7 + 740*T1^3*T2^7 + 564*T1^4*T2^7 - 
     1181*T1^5*T2^7 + 816*T1^6*T2^7 + 816*T1^7*T2^7 - 1181*T1^8*T2^7 + 
     564*T1^9*T2^7 + 740*T1^10*T2^7 - 112*T1^11*T2^7 - 14*T1^12*T2^7 + 
     30*T1^2*T2^8 + 56*T1^3*T2^8 - 1022*T1^4*T2^8 + 564*T1^5*T2^8 + 
     409*T1^6*T2^8 - 1181*T1^7*T2^8 + 409*T1^8*T2^8 + 564*T1^9*T2^8 - 
     1022*T1^10*T2^8 + 56*T1^11*T2^8 + 30*T1^12*T2^8 - 38*T1^3*T2^9 + 
     56*T1^4*T2^9 + 740*T1^5*T2^9 - 1046*T1^6*T2^9 + 564*T1^7*T2^9 + 
     564*T1^8*T2^9 - 1046*T1^9*T2^9 + 740*T1^10*T2^9 + 56*T1^11*T2^9 - 
     38*T1^12*T2^9 + 30*T1^4*T2^10 - 112*T1^5*T2^10 - 238*T1^6*T2^10 + 
     740*T1^7*T2^10 - 1022*T1^8*T2^10 + 740*T1^9*T2^10 - 238*T1^10*T2^10 - 
     112*T1^11*T2^10 + 30*T1^12*T2^10 - 14*T1^5*T2^11 + 86*T1^6*T2^11 - 
     112*T1^7*T2^11 + 56*T1^8*T2^11 + 56*T1^9*T2^11 - 112*T1^10*T2^11 + 
     86*T1^11*T2^11 - 14*T1^12*T2^11 + 2*T1^6*T2^12 - 14*T1^7*T2^12 + 
     30*T1^8*T2^12 - 38*T1^9*T2^12 + 30*T1^10*T2^12 - 14*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, NonAlternating, 11] -> 
  {(1 - 5*T + 13*T^2 - 17*T^3 + 13*T^4 - 5*T^5 + T^6)/T^3, 
   (1 - 5*T1 + 13*T1^2 - 17*T1^3 + 13*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 42*T1^2*T2 + 21*T1^3*T2 + 21*T1^4*T2 - 42*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 13*T2^2 - 42*T1*T2^2 + 76*T1^2*T2^2 + 
     21*T1^3*T2^2 - 70*T1^4*T2^2 + 21*T1^5*T2^2 + 76*T1^6*T2^2 - 
     42*T1^7*T2^2 + 13*T1^8*T2^2 - 17*T2^3 + 21*T1*T2^3 + 21*T1^2*T2^3 - 
     266*T1^3*T2^3 + 137*T1^4*T2^3 + 137*T1^5*T2^3 - 266*T1^6*T2^3 + 
     21*T1^7*T2^3 + 21*T1^8*T2^3 - 17*T1^9*T2^3 + 13*T2^4 + 21*T1*T2^4 - 
     70*T1^2*T2^4 + 137*T1^3*T2^4 + 567*T1^4*T2^4 - 899*T1^5*T2^4 + 
     567*T1^6*T2^4 + 137*T1^7*T2^4 - 70*T1^8*T2^4 + 21*T1^9*T2^4 + 
     13*T1^10*T2^4 - 5*T2^5 - 42*T1*T2^5 + 21*T1^2*T2^5 + 137*T1^3*T2^5 - 
     899*T1^4*T2^5 + 458*T1^5*T2^5 + 458*T1^6*T2^5 - 899*T1^7*T2^5 + 
     137*T1^8*T2^5 + 21*T1^9*T2^5 - 42*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 + 76*T1^2*T2^6 - 266*T1^3*T2^6 + 567*T1^4*T2^6 + 
     458*T1^5*T2^6 - 960*T1^6*T2^6 + 458*T1^7*T2^6 + 567*T1^8*T2^6 - 
     266*T1^9*T2^6 + 76*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     42*T1^2*T2^7 + 21*T1^3*T2^7 + 137*T1^4*T2^7 - 899*T1^5*T2^7 + 
     458*T1^6*T2^7 + 458*T1^7*T2^7 - 899*T1^8*T2^7 + 137*T1^9*T2^7 + 
     21*T1^10*T2^7 - 42*T1^11*T2^7 - 5*T1^12*T2^7 + 13*T1^2*T2^8 + 
     21*T1^3*T2^8 - 70*T1^4*T2^8 + 137*T1^5*T2^8 + 567*T1^6*T2^8 - 
     899*T1^7*T2^8 + 567*T1^8*T2^8 + 137*T1^9*T2^8 - 70*T1^10*T2^8 + 
     21*T1^11*T2^8 + 13*T1^12*T2^8 - 17*T1^3*T2^9 + 21*T1^4*T2^9 + 
     21*T1^5*T2^9 - 266*T1^6*T2^9 + 137*T1^7*T2^9 + 137*T1^8*T2^9 - 
     266*T1^9*T2^9 + 21*T1^10*T2^9 + 21*T1^11*T2^9 - 17*T1^12*T2^9 + 
     13*T1^4*T2^10 - 42*T1^5*T2^10 + 76*T1^6*T2^10 + 21*T1^7*T2^10 - 
     70*T1^8*T2^10 + 21*T1^9*T2^10 + 76*T1^10*T2^10 - 42*T1^11*T2^10 + 
     13*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 42*T1^7*T2^11 + 
     21*T1^8*T2^11 + 21*T1^9*T2^11 - 42*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 13*T1^8*T2^12 - 
     17*T1^9*T2^12 + 13*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, NonAlternating, 12] -> 
  {(1 - 3*T + 5*T^2 - 3*T^3 + T^4)/T^2, 
   -((T1 + T1^2 + T2 - 20*T1*T2 + 20*T1^2*T2 - 20*T1^3*T2 + T1^4*T2 + T2^2 + 
      20*T1*T2^2 + 4*T1^2*T2^2 + 4*T1^3*T2^2 + 20*T1^4*T2^2 + T1^5*T2^2 - 
      20*T1*T2^3 + 4*T1^2*T2^3 - 36*T1^3*T2^3 + 4*T1^4*T2^3 - 20*T1^5*T2^3 + 
      T1*T2^4 + 20*T1^2*T2^4 + 4*T1^3*T2^4 + 4*T1^4*T2^4 + 20*T1^5*T2^4 + 
      T1^6*T2^4 + T1^2*T2^5 - 20*T1^3*T2^5 + 20*T1^4*T2^5 - 20*T1^5*T2^5 + 
      T1^6*T2^5 + T1^4*T2^6 + T1^5*T2^6)/(T1^3*T2^3))}, 
 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), 
   -((3 - 9*T1 + 6*T1^2 - 3*T1^3 + 3*T1^4 - 3*T1^5 + 6*T1^6 - 9*T1^7 + 
      3*T1^8 - 9*T2 + 18*T1*T2 + 9*T1^2*T2 - 9*T1^3*T2 - 9*T1^6*T2 + 
      9*T1^7*T2 + 18*T1^8*T2 - 9*T1^9*T2 + 6*T2^2 + 9*T1*T2^2 - 
      62*T1^2*T2^2 + 29*T1^3*T2^2 - 8*T1^4*T2^2 + 14*T1^5*T2^2 - 
      8*T1^6*T2^2 + 29*T1^7*T2^2 - 62*T1^8*T2^2 + 9*T1^9*T2^2 + 
      6*T1^10*T2^2 - 3*T2^3 - 9*T1*T2^3 + 29*T1^2*T2^3 + 18*T1^3*T2^3 - 
      14*T1^4*T2^3 - 2*T1^5*T2^3 - 2*T1^6*T2^3 - 14*T1^7*T2^3 + 
      18*T1^8*T2^3 + 29*T1^9*T2^3 - 9*T1^10*T2^3 - 3*T1^11*T2^3 + 3*T2^4 - 
      8*T1^2*T2^4 - 14*T1^3*T2^4 + 3*T1^4*T2^4 - T1^5*T2^4 + 7*T1^6*T2^4 - 
      T1^7*T2^4 + 3*T1^8*T2^4 - 14*T1^9*T2^4 - 8*T1^10*T2^4 + 3*T1^12*T2^4 - 
      3*T2^5 + 14*T1^2*T2^5 - 2*T1^3*T2^5 - T1^4*T2^5 + 8*T1^5*T2^5 - 
      5*T1^6*T2^5 - 5*T1^7*T2^5 + 8*T1^8*T2^5 - T1^9*T2^5 - 2*T1^10*T2^5 + 
      14*T1^11*T2^5 - 3*T1^13*T2^5 + 6*T2^6 - 9*T1*T2^6 - 8*T1^2*T2^6 - 
      2*T1^3*T2^6 + 7*T1^4*T2^6 - 5*T1^5*T2^6 + 2*T1^6*T2^6 - 2*T1^7*T2^6 + 
      2*T1^8*T2^6 - 5*T1^9*T2^6 + 7*T1^10*T2^6 - 2*T1^11*T2^6 - 
      8*T1^12*T2^6 - 9*T1^13*T2^6 + 6*T1^14*T2^6 - 9*T2^7 + 9*T1*T2^7 + 
      29*T1^2*T2^7 - 14*T1^3*T2^7 - T1^4*T2^7 - 5*T1^5*T2^7 - 2*T1^6*T2^7 + 
      4*T1^7*T2^7 + 4*T1^8*T2^7 - 2*T1^9*T2^7 - 5*T1^10*T2^7 - T1^11*T2^7 - 
      14*T1^12*T2^7 + 29*T1^13*T2^7 + 9*T1^14*T2^7 - 9*T1^15*T2^7 + 3*T2^8 + 
      18*T1*T2^8 - 62*T1^2*T2^8 + 18*T1^3*T2^8 + 3*T1^4*T2^8 + 8*T1^5*T2^8 + 
      2*T1^6*T2^8 + 4*T1^7*T2^8 - 12*T1^8*T2^8 + 4*T1^9*T2^8 + 2*T1^10*T2^8 + 
      8*T1^11*T2^8 + 3*T1^12*T2^8 + 18*T1^13*T2^8 - 62*T1^14*T2^8 + 
      18*T1^15*T2^8 + 3*T1^16*T2^8 - 9*T1*T2^9 + 9*T1^2*T2^9 + 29*T1^3*T2^9 - 
      14*T1^4*T2^9 - T1^5*T2^9 - 5*T1^6*T2^9 - 2*T1^7*T2^9 + 4*T1^8*T2^9 + 
      4*T1^9*T2^9 - 2*T1^10*T2^9 - 5*T1^11*T2^9 - T1^12*T2^9 - 
      14*T1^13*T2^9 + 29*T1^14*T2^9 + 9*T1^15*T2^9 - 9*T1^16*T2^9 + 
      6*T1^2*T2^10 - 9*T1^3*T2^10 - 8*T1^4*T2^10 - 2*T1^5*T2^10 + 
      7*T1^6*T2^10 - 5*T1^7*T2^10 + 2*T1^8*T2^10 - 2*T1^9*T2^10 + 
      2*T1^10*T2^10 - 5*T1^11*T2^10 + 7*T1^12*T2^10 - 2*T1^13*T2^10 - 
      8*T1^14*T2^10 - 9*T1^15*T2^10 + 6*T1^16*T2^10 - 3*T1^3*T2^11 + 
      14*T1^5*T2^11 - 2*T1^6*T2^11 - T1^7*T2^11 + 8*T1^8*T2^11 - 
      5*T1^9*T2^11 - 5*T1^10*T2^11 + 8*T1^11*T2^11 - T1^12*T2^11 - 
      2*T1^13*T2^11 + 14*T1^14*T2^11 - 3*T1^16*T2^11 + 3*T1^4*T2^12 - 
      8*T1^6*T2^12 - 14*T1^7*T2^12 + 3*T1^8*T2^12 - T1^9*T2^12 + 
      7*T1^10*T2^12 - T1^11*T2^12 + 3*T1^12*T2^12 - 14*T1^13*T2^12 - 
      8*T1^14*T2^12 + 3*T1^16*T2^12 - 3*T1^5*T2^13 - 9*T1^6*T2^13 + 
      29*T1^7*T2^13 + 18*T1^8*T2^13 - 14*T1^9*T2^13 - 2*T1^10*T2^13 - 
      2*T1^11*T2^13 - 14*T1^12*T2^13 + 18*T1^13*T2^13 + 29*T1^14*T2^13 - 
      9*T1^15*T2^13 - 3*T1^16*T2^13 + 6*T1^6*T2^14 + 9*T1^7*T2^14 - 
      62*T1^8*T2^14 + 29*T1^9*T2^14 - 8*T1^10*T2^14 + 14*T1^11*T2^14 - 
      8*T1^12*T2^14 + 29*T1^13*T2^14 - 62*T1^14*T2^14 + 9*T1^15*T2^14 + 
      6*T1^16*T2^14 - 9*T1^7*T2^15 + 18*T1^8*T2^15 + 9*T1^9*T2^15 - 
      9*T1^10*T2^15 - 9*T1^13*T2^15 + 9*T1^14*T2^15 + 18*T1^15*T2^15 - 
      9*T1^16*T2^15 + 3*T1^8*T2^16 - 9*T1^9*T2^16 + 6*T1^10*T2^16 - 
      3*T1^11*T2^16 + 3*T1^12*T2^16 - 3*T1^13*T2^16 + 6*T1^14*T2^16 - 
      9*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[11, NonAlternating, 14] -> 
  {-((1 - 6*T + 10*T^2 - 11*T^3 + 10*T^4 - 6*T^5 + T^6)/T^3), 
   (2 - 12*T1 + 20*T1^2 - 22*T1^3 + 20*T1^4 - 12*T1^5 + 2*T1^6 - 12*T2 + 
     62*T1*T2 - 48*T1^2*T2 + 12*T1^3*T2 + 12*T1^4*T2 - 48*T1^5*T2 + 
     62*T1^6*T2 - 12*T1^7*T2 + 20*T2^2 - 48*T1*T2^2 - 241*T1^2*T2^2 + 
     421*T1^3*T2^2 - 437*T1^4*T2^2 + 421*T1^5*T2^2 - 241*T1^6*T2^2 - 
     48*T1^7*T2^2 + 20*T1^8*T2^2 - 22*T2^3 + 12*T1*T2^3 + 421*T1^2*T2^3 - 
     300*T1^3*T2^3 + 51*T1^4*T2^3 + 51*T1^5*T2^3 - 300*T1^6*T2^3 + 
     421*T1^7*T2^3 + 12*T1^8*T2^3 - 22*T1^9*T2^3 + 20*T2^4 + 12*T1*T2^4 - 
     437*T1^2*T2^4 + 51*T1^3*T2^4 + 79*T1^4*T2^4 + 15*T1^5*T2^4 + 
     79*T1^6*T2^4 + 51*T1^7*T2^4 - 437*T1^8*T2^4 + 12*T1^9*T2^4 + 
     20*T1^10*T2^4 - 12*T2^5 - 48*T1*T2^5 + 421*T1^2*T2^5 + 51*T1^3*T2^5 + 
     15*T1^4*T2^5 - 78*T1^5*T2^5 - 78*T1^6*T2^5 + 15*T1^7*T2^5 + 
     51*T1^8*T2^5 + 421*T1^9*T2^5 - 48*T1^10*T2^5 - 12*T1^11*T2^5 + 2*T2^6 + 
     62*T1*T2^6 - 241*T1^2*T2^6 - 300*T1^3*T2^6 + 79*T1^4*T2^6 - 
     78*T1^5*T2^6 + 192*T1^6*T2^6 - 78*T1^7*T2^6 + 79*T1^8*T2^6 - 
     300*T1^9*T2^6 - 241*T1^10*T2^6 + 62*T1^11*T2^6 + 2*T1^12*T2^6 - 
     12*T1*T2^7 - 48*T1^2*T2^7 + 421*T1^3*T2^7 + 51*T1^4*T2^7 + 
     15*T1^5*T2^7 - 78*T1^6*T2^7 - 78*T1^7*T2^7 + 15*T1^8*T2^7 + 
     51*T1^9*T2^7 + 421*T1^10*T2^7 - 48*T1^11*T2^7 - 12*T1^12*T2^7 + 
     20*T1^2*T2^8 + 12*T1^3*T2^8 - 437*T1^4*T2^8 + 51*T1^5*T2^8 + 
     79*T1^6*T2^8 + 15*T1^7*T2^8 + 79*T1^8*T2^8 + 51*T1^9*T2^8 - 
     437*T1^10*T2^8 + 12*T1^11*T2^8 + 20*T1^12*T2^8 - 22*T1^3*T2^9 + 
     12*T1^4*T2^9 + 421*T1^5*T2^9 - 300*T1^6*T2^9 + 51*T1^7*T2^9 + 
     51*T1^8*T2^9 - 300*T1^9*T2^9 + 421*T1^10*T2^9 + 12*T1^11*T2^9 - 
     22*T1^12*T2^9 + 20*T1^4*T2^10 - 48*T1^5*T2^10 - 241*T1^6*T2^10 + 
     421*T1^7*T2^10 - 437*T1^8*T2^10 + 421*T1^9*T2^10 - 241*T1^10*T2^10 - 
     48*T1^11*T2^10 + 20*T1^12*T2^10 - 12*T1^5*T2^11 + 62*T1^6*T2^11 - 
     48*T1^7*T2^11 + 12*T1^8*T2^11 + 12*T1^9*T2^11 - 48*T1^10*T2^11 + 
     62*T1^11*T2^11 - 12*T1^12*T2^11 + 2*T1^6*T2^12 - 12*T1^7*T2^12 + 
     20*T1^8*T2^12 - 22*T1^9*T2^12 + 20*T1^10*T2^12 - 12*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, NonAlternating, 15] -> 
  {(1 - 4*T + 8*T^2 - 9*T^3 + 8*T^4 - 4*T^5 + T^6)/T^3, 
   (1 - 4*T1 + 8*T1^2 - 9*T1^3 + 8*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 12*T1*T2 - 
     17*T1^2*T2 + 4*T1^3*T2 + 4*T1^4*T2 - 17*T1^5*T2 + 12*T1^6*T2 - 
     4*T1^7*T2 + 8*T2^2 - 17*T1*T2^2 + 16*T1^2*T2^2 + 21*T1^3*T2^2 - 
     12*T1^4*T2^2 + 21*T1^5*T2^2 + 16*T1^6*T2^2 - 17*T1^7*T2^2 + 
     8*T1^8*T2^2 - 9*T2^3 + 4*T1*T2^3 + 21*T1^2*T2^3 - 74*T1^3*T2^3 + 
     4*T1^4*T2^3 + 4*T1^5*T2^3 - 74*T1^6*T2^3 + 21*T1^7*T2^3 + 4*T1^8*T2^3 - 
     9*T1^9*T2^3 + 8*T2^4 + 4*T1*T2^4 - 12*T1^2*T2^4 + 4*T1^3*T2^4 + 
     154*T1^4*T2^4 - 136*T1^5*T2^4 + 154*T1^6*T2^4 + 4*T1^7*T2^4 - 
     12*T1^8*T2^4 + 4*T1^9*T2^4 + 8*T1^10*T2^4 - 4*T2^5 - 17*T1*T2^5 + 
     21*T1^2*T2^5 + 4*T1^3*T2^5 - 136*T1^4*T2^5 + 16*T1^5*T2^5 + 
     16*T1^6*T2^5 - 136*T1^7*T2^5 + 4*T1^8*T2^5 + 21*T1^9*T2^5 - 
     17*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 12*T1*T2^6 + 16*T1^2*T2^6 - 
     74*T1^3*T2^6 + 154*T1^4*T2^6 + 16*T1^5*T2^6 + 16*T1^7*T2^6 + 
     154*T1^8*T2^6 - 74*T1^9*T2^6 + 16*T1^10*T2^6 + 12*T1^11*T2^6 + 
     T1^12*T2^6 - 4*T1*T2^7 - 17*T1^2*T2^7 + 21*T1^3*T2^7 + 4*T1^4*T2^7 - 
     136*T1^5*T2^7 + 16*T1^6*T2^7 + 16*T1^7*T2^7 - 136*T1^8*T2^7 + 
     4*T1^9*T2^7 + 21*T1^10*T2^7 - 17*T1^11*T2^7 - 4*T1^12*T2^7 + 
     8*T1^2*T2^8 + 4*T1^3*T2^8 - 12*T1^4*T2^8 + 4*T1^5*T2^8 + 154*T1^6*T2^8 - 
     136*T1^7*T2^8 + 154*T1^8*T2^8 + 4*T1^9*T2^8 - 12*T1^10*T2^8 + 
     4*T1^11*T2^8 + 8*T1^12*T2^8 - 9*T1^3*T2^9 + 4*T1^4*T2^9 + 21*T1^5*T2^9 - 
     74*T1^6*T2^9 + 4*T1^7*T2^9 + 4*T1^8*T2^9 - 74*T1^9*T2^9 + 
     21*T1^10*T2^9 + 4*T1^11*T2^9 - 9*T1^12*T2^9 + 8*T1^4*T2^10 - 
     17*T1^5*T2^10 + 16*T1^6*T2^10 + 21*T1^7*T2^10 - 12*T1^8*T2^10 + 
     21*T1^9*T2^10 + 16*T1^10*T2^10 - 17*T1^11*T2^10 + 8*T1^12*T2^10 - 
     4*T1^5*T2^11 + 12*T1^6*T2^11 - 17*T1^7*T2^11 + 4*T1^8*T2^11 + 
     4*T1^9*T2^11 - 17*T1^10*T2^11 + 12*T1^11*T2^11 - 4*T1^12*T2^11 + 
     T1^6*T2^12 - 4*T1^7*T2^12 + 8*T1^8*T2^12 - 9*T1^9*T2^12 + 
     8*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, NonAlternating, 16] -> 
  {-((2 - 7*T + 7*T^2 - 5*T^3 + 7*T^4 - 7*T^5 + 2*T^6)/T^3), 
   -((17 - 59*T1 + 58*T1^2 - 41*T1^3 + 58*T1^4 - 59*T1^5 + 17*T1^6 - 59*T2 + 
      146*T1*T2 + 3*T1^2*T2 - 59*T1^3*T2 - 59*T1^4*T2 + 3*T1^5*T2 + 
      146*T1^6*T2 - 59*T1^7*T2 + 58*T2^2 + 3*T1*T2^2 - 447*T1^2*T2^2 + 
      348*T1^3*T2^2 - 87*T1^4*T2^2 + 348*T1^5*T2^2 - 447*T1^6*T2^2 + 
      3*T1^7*T2^2 + 58*T1^8*T2^2 - 41*T2^3 - 59*T1*T2^3 + 348*T1^2*T2^3 + 
      66*T1^3*T2^3 - 201*T1^4*T2^3 - 201*T1^5*T2^3 + 66*T1^6*T2^3 + 
      348*T1^7*T2^3 - 59*T1^8*T2^3 - 41*T1^9*T2^3 + 58*T2^4 - 59*T1*T2^4 - 
      87*T1^2*T2^4 - 201*T1^3*T2^4 + 168*T1^4*T2^4 + 18*T1^5*T2^4 + 
      168*T1^6*T2^4 - 201*T1^7*T2^4 - 87*T1^8*T2^4 - 59*T1^9*T2^4 + 
      58*T1^10*T2^4 - 59*T2^5 + 3*T1*T2^5 + 348*T1^2*T2^5 - 201*T1^3*T2^5 + 
      18*T1^4*T2^5 + 6*T1^5*T2^5 + 6*T1^6*T2^5 + 18*T1^7*T2^5 - 
      201*T1^8*T2^5 + 348*T1^9*T2^5 + 3*T1^10*T2^5 - 59*T1^11*T2^5 + 
      17*T2^6 + 146*T1*T2^6 - 447*T1^2*T2^6 + 66*T1^3*T2^6 + 168*T1^4*T2^6 + 
      6*T1^5*T2^6 - 156*T1^6*T2^6 + 6*T1^7*T2^6 + 168*T1^8*T2^6 + 
      66*T1^9*T2^6 - 447*T1^10*T2^6 + 146*T1^11*T2^6 + 17*T1^12*T2^6 - 
      59*T1*T2^7 + 3*T1^2*T2^7 + 348*T1^3*T2^7 - 201*T1^4*T2^7 + 
      18*T1^5*T2^7 + 6*T1^6*T2^7 + 6*T1^7*T2^7 + 18*T1^8*T2^7 - 
      201*T1^9*T2^7 + 348*T1^10*T2^7 + 3*T1^11*T2^7 - 59*T1^12*T2^7 + 
      58*T1^2*T2^8 - 59*T1^3*T2^8 - 87*T1^4*T2^8 - 201*T1^5*T2^8 + 
      168*T1^6*T2^8 + 18*T1^7*T2^8 + 168*T1^8*T2^8 - 201*T1^9*T2^8 - 
      87*T1^10*T2^8 - 59*T1^11*T2^8 + 58*T1^12*T2^8 - 41*T1^3*T2^9 - 
      59*T1^4*T2^9 + 348*T1^5*T2^9 + 66*T1^6*T2^9 - 201*T1^7*T2^9 - 
      201*T1^8*T2^9 + 66*T1^9*T2^9 + 348*T1^10*T2^9 - 59*T1^11*T2^9 - 
      41*T1^12*T2^9 + 58*T1^4*T2^10 + 3*T1^5*T2^10 - 447*T1^6*T2^10 + 
      348*T1^7*T2^10 - 87*T1^8*T2^10 + 348*T1^9*T2^10 - 447*T1^10*T2^10 + 
      3*T1^11*T2^10 + 58*T1^12*T2^10 - 59*T1^5*T2^11 + 146*T1^6*T2^11 + 
      3*T1^7*T2^11 - 59*T1^8*T2^11 - 59*T1^9*T2^11 + 3*T1^10*T2^11 + 
      146*T1^11*T2^11 - 59*T1^12*T2^11 + 17*T1^6*T2^12 - 59*T1^7*T2^12 + 
      58*T1^8*T2^12 - 41*T1^9*T2^12 + 58*T1^10*T2^12 - 59*T1^11*T2^12 + 
      17*T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, NonAlternating, 17] -> 
  {-((2 - 12*T + 19*T^2 - 12*T^3 + 2*T^4)/T^2), 
   (9 - 54*T1 + 85*T1^2 - 54*T1^3 + 9*T1^4 - 54*T2 + 286*T1*T2 - 
     194*T1^2*T2 - 194*T1^3*T2 + 286*T1^4*T2 - 54*T1^5*T2 + 85*T2^2 - 
     194*T1*T2^2 - 1266*T1^2*T2^2 + 2378*T1^3*T2^2 - 1266*T1^4*T2^2 - 
     194*T1^5*T2^2 + 85*T1^6*T2^2 - 54*T2^3 - 194*T1*T2^3 + 2378*T1^2*T2^3 - 
     1698*T1^3*T2^3 - 1698*T1^4*T2^3 + 2378*T1^5*T2^3 - 194*T1^6*T2^3 - 
     54*T1^7*T2^3 + 9*T2^4 + 286*T1*T2^4 - 1266*T1^2*T2^4 - 1698*T1^3*T2^4 + 
     4212*T1^4*T2^4 - 1698*T1^5*T2^4 - 1266*T1^6*T2^4 + 286*T1^7*T2^4 + 
     9*T1^8*T2^4 - 54*T1*T2^5 - 194*T1^2*T2^5 + 2378*T1^3*T2^5 - 
     1698*T1^4*T2^5 - 1698*T1^5*T2^5 + 2378*T1^6*T2^5 - 194*T1^7*T2^5 - 
     54*T1^8*T2^5 + 85*T1^2*T2^6 - 194*T1^3*T2^6 - 1266*T1^4*T2^6 + 
     2378*T1^5*T2^6 - 1266*T1^6*T2^6 - 194*T1^7*T2^6 + 85*T1^8*T2^6 - 
     54*T1^3*T2^7 + 286*T1^4*T2^7 - 194*T1^5*T2^7 - 194*T1^6*T2^7 + 
     286*T1^7*T2^7 - 54*T1^8*T2^7 + 9*T1^4*T2^8 - 54*T1^5*T2^8 + 
     85*T1^6*T2^8 - 54*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[11, NonAlternating, 18] -> {(2 - 8*T + 13*T^2 - 8*T^3 + 2*T^4)/T^2, 
   (1 - 4*T1 + 7*T1^2 - 4*T1^3 + T1^4 - 4*T2 + 12*T1*T2 - 16*T1^2*T2 - 
     16*T1^3*T2 + 12*T1^4*T2 - 4*T1^5*T2 + 7*T2^2 - 16*T1*T2^2 + 
     30*T1^2*T2^2 + 42*T1^3*T2^2 + 30*T1^4*T2^2 - 16*T1^5*T2^2 + 
     7*T1^6*T2^2 - 4*T2^3 - 16*T1*T2^3 + 42*T1^2*T2^3 - 124*T1^3*T2^3 - 
     124*T1^4*T2^3 + 42*T1^5*T2^3 - 16*T1^6*T2^3 - 4*T1^7*T2^3 + T2^4 + 
     12*T1*T2^4 + 30*T1^2*T2^4 - 124*T1^3*T2^4 + 432*T1^4*T2^4 - 
     124*T1^5*T2^4 + 30*T1^6*T2^4 + 12*T1^7*T2^4 + T1^8*T2^4 - 4*T1*T2^5 - 
     16*T1^2*T2^5 + 42*T1^3*T2^5 - 124*T1^4*T2^5 - 124*T1^5*T2^5 + 
     42*T1^6*T2^5 - 16*T1^7*T2^5 - 4*T1^8*T2^5 + 7*T1^2*T2^6 - 16*T1^3*T2^6 + 
     30*T1^4*T2^6 + 42*T1^5*T2^6 + 30*T1^6*T2^6 - 16*T1^7*T2^6 + 
     7*T1^8*T2^6 - 4*T1^3*T2^7 + 12*T1^4*T2^7 - 16*T1^5*T2^7 - 16*T1^6*T2^7 + 
     12*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)/(T1^4*T2^4)}, Knot[11, NonAlternating, 19] -> 
  {-((1 - 2*T + T^3 - 2*T^5 + T^6)/T^3), 
   (2 - 4*T1 + 2*T1^3 - 4*T1^5 + 2*T1^6 - 4*T2 + 4*T1*T2 + 8*T1^2*T2 - 
     4*T1^3*T2 - 4*T1^4*T2 + 8*T1^5*T2 + 4*T1^6*T2 - 4*T1^7*T2 + 8*T1*T2^2 - 
     15*T1^2*T2^2 - 2*T1^3*T2^2 + 9*T1^4*T2^2 - 2*T1^5*T2^2 - 15*T1^6*T2^2 + 
     8*T1^7*T2^2 + 2*T2^3 - 4*T1*T2^3 - 2*T1^2*T2^3 + 8*T1^3*T2^3 - 
     4*T1^4*T2^3 - 4*T1^5*T2^3 + 8*T1^6*T2^3 - 2*T1^7*T2^3 - 4*T1^8*T2^3 + 
     2*T1^9*T2^3 - 4*T1*T2^4 + 9*T1^2*T2^4 - 4*T1^3*T2^4 + 4*T1^5*T2^4 - 
     4*T1^7*T2^4 + 9*T1^8*T2^4 - 4*T1^9*T2^4 - 4*T2^5 + 8*T1*T2^5 - 
     2*T1^2*T2^5 - 4*T1^3*T2^5 + 4*T1^4*T2^5 - 6*T1^5*T2^5 - 6*T1^6*T2^5 + 
     4*T1^7*T2^5 - 4*T1^8*T2^5 - 2*T1^9*T2^5 + 8*T1^10*T2^5 - 4*T1^11*T2^5 + 
     2*T2^6 + 4*T1*T2^6 - 15*T1^2*T2^6 + 8*T1^3*T2^6 - 6*T1^5*T2^6 + 
     24*T1^6*T2^6 - 6*T1^7*T2^6 + 8*T1^9*T2^6 - 15*T1^10*T2^6 + 
     4*T1^11*T2^6 + 2*T1^12*T2^6 - 4*T1*T2^7 + 8*T1^2*T2^7 - 2*T1^3*T2^7 - 
     4*T1^4*T2^7 + 4*T1^5*T2^7 - 6*T1^6*T2^7 - 6*T1^7*T2^7 + 4*T1^8*T2^7 - 
     4*T1^9*T2^7 - 2*T1^10*T2^7 + 8*T1^11*T2^7 - 4*T1^12*T2^7 - 4*T1^3*T2^8 + 
     9*T1^4*T2^8 - 4*T1^5*T2^8 + 4*T1^7*T2^8 - 4*T1^9*T2^8 + 9*T1^10*T2^8 - 
     4*T1^11*T2^8 + 2*T1^3*T2^9 - 4*T1^4*T2^9 - 2*T1^5*T2^9 + 8*T1^6*T2^9 - 
     4*T1^7*T2^9 - 4*T1^8*T2^9 + 8*T1^9*T2^9 - 2*T1^10*T2^9 - 4*T1^11*T2^9 + 
     2*T1^12*T2^9 + 8*T1^5*T2^10 - 15*T1^6*T2^10 - 2*T1^7*T2^10 + 
     9*T1^8*T2^10 - 2*T1^9*T2^10 - 15*T1^10*T2^10 + 8*T1^11*T2^10 - 
     4*T1^5*T2^11 + 4*T1^6*T2^11 + 8*T1^7*T2^11 - 4*T1^8*T2^11 - 
     4*T1^9*T2^11 + 8*T1^10*T2^11 + 4*T1^11*T2^11 - 4*T1^12*T2^11 + 
     2*T1^6*T2^12 - 4*T1^7*T2^12 + 2*T1^9*T2^12 - 4*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, NonAlternating, 20] -> 
  {-((2 - 6*T + 7*T^2 - 6*T^3 + 2*T^4)/T^2), 
   (9 - 26*T1 + 29*T1^2 - 26*T1^3 + 9*T1^4 - 26*T2 + 52*T1*T2 - 14*T1^2*T2 - 
     14*T1^3*T2 + 52*T1^4*T2 - 26*T1^5*T2 + 29*T2^2 - 14*T1*T2^2 - 
     97*T1^2*T2^2 + 125*T1^3*T2^2 - 97*T1^4*T2^2 - 14*T1^5*T2^2 + 
     29*T1^6*T2^2 - 26*T2^3 - 14*T1*T2^3 + 125*T1^2*T2^3 - 74*T1^3*T2^3 - 
     74*T1^4*T2^3 + 125*T1^5*T2^3 - 14*T1^6*T2^3 - 26*T1^7*T2^3 + 9*T2^4 + 
     52*T1*T2^4 - 97*T1^2*T2^4 - 74*T1^3*T2^4 + 216*T1^4*T2^4 - 
     74*T1^5*T2^4 - 97*T1^6*T2^4 + 52*T1^7*T2^4 + 9*T1^8*T2^4 - 26*T1*T2^5 - 
     14*T1^2*T2^5 + 125*T1^3*T2^5 - 74*T1^4*T2^5 - 74*T1^5*T2^5 + 
     125*T1^6*T2^5 - 14*T1^7*T2^5 - 26*T1^8*T2^5 + 29*T1^2*T2^6 - 
     14*T1^3*T2^6 - 97*T1^4*T2^6 + 125*T1^5*T2^6 - 97*T1^6*T2^6 - 
     14*T1^7*T2^6 + 29*T1^8*T2^6 - 26*T1^3*T2^7 + 52*T1^4*T2^7 - 
     14*T1^5*T2^7 - 14*T1^6*T2^7 + 52*T1^7*T2^7 - 26*T1^8*T2^7 + 
     9*T1^4*T2^8 - 26*T1^5*T2^8 + 29*T1^6*T2^8 - 26*T1^7*T2^8 + 9*T1^8*T2^8)/
    (T1^4*T2^4)}, Knot[11, NonAlternating, 21] -> 
  {-(((-1 + 2*T - 3*T^2 + T^3)*(-1 + 3*T - 2*T^2 + T^3))/T^3), 
   -((T1^2 + T1^3 + T1*T2 - 8*T1^2*T2 - T1^3*T2 - 8*T1^4*T2 + T1^5*T2 + 
      T2^2 - 8*T1*T2^2 + 26*T1^2*T2^2 + 10*T1^3*T2^2 + 10*T1^4*T2^2 + 
      26*T1^5*T2^2 - 8*T1^6*T2^2 + T1^7*T2^2 + T2^3 - T1*T2^3 + 
      10*T1^2*T2^3 - 107*T1^3*T2^3 + 53*T1^4*T2^3 - 107*T1^5*T2^3 + 
      10*T1^6*T2^3 - T1^7*T2^3 + T1^8*T2^3 - 8*T1*T2^4 + 10*T1^2*T2^4 + 
      53*T1^3*T2^4 + 62*T1^4*T2^4 + 62*T1^5*T2^4 + 53*T1^6*T2^4 + 
      10*T1^7*T2^4 - 8*T1^8*T2^4 + T1*T2^5 + 26*T1^2*T2^5 - 107*T1^3*T2^5 + 
      62*T1^4*T2^5 - 240*T1^5*T2^5 + 62*T1^6*T2^5 - 107*T1^7*T2^5 + 
      26*T1^8*T2^5 + T1^9*T2^5 - 8*T1^2*T2^6 + 10*T1^3*T2^6 + 53*T1^4*T2^6 + 
      62*T1^5*T2^6 + 62*T1^6*T2^6 + 53*T1^7*T2^6 + 10*T1^8*T2^6 - 
      8*T1^9*T2^6 + T1^2*T2^7 - T1^3*T2^7 + 10*T1^4*T2^7 - 107*T1^5*T2^7 + 
      53*T1^6*T2^7 - 107*T1^7*T2^7 + 10*T1^8*T2^7 - T1^9*T2^7 + T1^10*T2^7 + 
      T1^3*T2^8 - 8*T1^4*T2^8 + 26*T1^5*T2^8 + 10*T1^6*T2^8 + 10*T1^7*T2^8 + 
      26*T1^8*T2^8 - 8*T1^9*T2^8 + T1^10*T2^8 + T1^5*T2^9 - 8*T1^6*T2^9 - 
      T1^7*T2^9 - 8*T1^8*T2^9 + T1^9*T2^9 + T1^7*T2^10 + T1^8*T2^10)/
     (T1^5*T2^5))}, Knot[11, NonAlternating, 22] -> 
  {(1 - 5*T + 13*T^2 - 17*T^3 + 13*T^4 - 5*T^5 + T^6)/T^3, 
   (1 - 5*T1 + 13*T1^2 - 17*T1^3 + 13*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 41*T1^2*T2 + 20*T1^3*T2 + 20*T1^4*T2 - 41*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 13*T2^2 - 41*T1*T2^2 + 70*T1^2*T2^2 + 
     21*T1^3*T2^2 - 58*T1^4*T2^2 + 21*T1^5*T2^2 + 70*T1^6*T2^2 - 
     41*T1^7*T2^2 + 13*T1^8*T2^2 - 17*T2^3 + 20*T1*T2^3 + 21*T1^2*T2^3 - 
     248*T1^3*T2^3 + 108*T1^4*T2^3 + 108*T1^5*T2^3 - 248*T1^6*T2^3 + 
     21*T1^7*T2^3 + 20*T1^8*T2^3 - 17*T1^9*T2^3 + 13*T2^4 + 20*T1*T2^4 - 
     58*T1^2*T2^4 + 108*T1^3*T2^4 + 625*T1^4*T2^4 - 885*T1^5*T2^4 + 
     625*T1^6*T2^4 + 108*T1^7*T2^4 - 58*T1^8*T2^4 + 20*T1^9*T2^4 + 
     13*T1^10*T2^4 - 5*T2^5 - 41*T1*T2^5 + 21*T1^2*T2^5 + 108*T1^3*T2^5 - 
     885*T1^4*T2^5 + 374*T1^5*T2^5 + 374*T1^6*T2^5 - 885*T1^7*T2^5 + 
     108*T1^8*T2^5 + 21*T1^9*T2^5 - 41*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 + 70*T1^2*T2^6 - 248*T1^3*T2^6 + 625*T1^4*T2^6 + 
     374*T1^5*T2^6 - 684*T1^6*T2^6 + 374*T1^7*T2^6 + 625*T1^8*T2^6 - 
     248*T1^9*T2^6 + 70*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     41*T1^2*T2^7 + 21*T1^3*T2^7 + 108*T1^4*T2^7 - 885*T1^5*T2^7 + 
     374*T1^6*T2^7 + 374*T1^7*T2^7 - 885*T1^8*T2^7 + 108*T1^9*T2^7 + 
     21*T1^10*T2^7 - 41*T1^11*T2^7 - 5*T1^12*T2^7 + 13*T1^2*T2^8 + 
     20*T1^3*T2^8 - 58*T1^4*T2^8 + 108*T1^5*T2^8 + 625*T1^6*T2^8 - 
     885*T1^7*T2^8 + 625*T1^8*T2^8 + 108*T1^9*T2^8 - 58*T1^10*T2^8 + 
     20*T1^11*T2^8 + 13*T1^12*T2^8 - 17*T1^3*T2^9 + 20*T1^4*T2^9 + 
     21*T1^5*T2^9 - 248*T1^6*T2^9 + 108*T1^7*T2^9 + 108*T1^8*T2^9 - 
     248*T1^9*T2^9 + 21*T1^10*T2^9 + 20*T1^11*T2^9 - 17*T1^12*T2^9 + 
     13*T1^4*T2^10 - 41*T1^5*T2^10 + 70*T1^6*T2^10 + 21*T1^7*T2^10 - 
     58*T1^8*T2^10 + 21*T1^9*T2^10 + 70*T1^10*T2^10 - 41*T1^11*T2^10 + 
     13*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 41*T1^7*T2^11 + 
     20*T1^8*T2^11 + 20*T1^9*T2^11 - 41*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 13*T1^8*T2^12 - 
     17*T1^9*T2^12 + 13*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   (2 - 6*T1 + 10*T1^2 - 8*T1^3 + 6*T1^4 - 8*T1^5 + 10*T1^6 - 6*T1^7 + 
     2*T1^8 - 6*T2 + 12*T1*T2 - 12*T1^2*T2 - 6*T1^3*T2 + 6*T1^4*T2 + 
     6*T1^5*T2 - 6*T1^6*T2 - 12*T1^7*T2 + 12*T1^8*T2 - 6*T1^9*T2 + 10*T2^2 - 
     12*T1*T2^2 + 6*T1^2*T2^2 + 21*T1^3*T2^2 + 5*T1^4*T2^2 - 22*T1^5*T2^2 + 
     5*T1^6*T2^2 + 21*T1^7*T2^2 + 6*T1^8*T2^2 - 12*T1^9*T2^2 + 
     10*T1^10*T2^2 - 8*T2^3 - 6*T1*T2^3 + 21*T1^2*T2^3 - 38*T1^3*T2^3 - 
     27*T1^4*T2^3 + 21*T1^5*T2^3 + 21*T1^6*T2^3 - 27*T1^7*T2^3 - 
     38*T1^8*T2^3 + 21*T1^9*T2^3 - 6*T1^10*T2^3 - 8*T1^11*T2^3 + 6*T2^4 + 
     6*T1*T2^4 + 5*T1^2*T2^4 - 27*T1^3*T2^4 + 95*T1^4*T2^4 - 31*T1^5*T2^4 - 
     11*T1^6*T2^4 - 31*T1^7*T2^4 + 95*T1^8*T2^4 - 27*T1^9*T2^4 + 
     5*T1^10*T2^4 + 6*T1^11*T2^4 + 6*T1^12*T2^4 - 8*T2^5 + 6*T1*T2^5 - 
     22*T1^2*T2^5 + 21*T1^3*T2^5 - 31*T1^4*T2^5 - 40*T1^5*T2^5 + 
     29*T1^6*T2^5 + 29*T1^7*T2^5 - 40*T1^8*T2^5 - 31*T1^9*T2^5 + 
     21*T1^10*T2^5 - 22*T1^11*T2^5 + 6*T1^12*T2^5 - 8*T1^13*T2^5 + 10*T2^6 - 
     6*T1*T2^6 + 5*T1^2*T2^6 + 21*T1^3*T2^6 - 11*T1^4*T2^6 + 29*T1^5*T2^6 - 
     18*T1^6*T2^6 + 8*T1^7*T2^6 - 18*T1^8*T2^6 + 29*T1^9*T2^6 - 
     11*T1^10*T2^6 + 21*T1^11*T2^6 + 5*T1^12*T2^6 - 6*T1^13*T2^6 + 
     10*T1^14*T2^6 - 6*T2^7 - 12*T1*T2^7 + 21*T1^2*T2^7 - 27*T1^3*T2^7 - 
     31*T1^4*T2^7 + 29*T1^5*T2^7 + 8*T1^6*T2^7 - 10*T1^7*T2^7 - 
     10*T1^8*T2^7 + 8*T1^9*T2^7 + 29*T1^10*T2^7 - 31*T1^11*T2^7 - 
     27*T1^12*T2^7 + 21*T1^13*T2^7 - 12*T1^14*T2^7 - 6*T1^15*T2^7 + 2*T2^8 + 
     12*T1*T2^8 + 6*T1^2*T2^8 - 38*T1^3*T2^8 + 95*T1^4*T2^8 - 40*T1^5*T2^8 - 
     18*T1^6*T2^8 - 10*T1^7*T2^8 + 36*T1^8*T2^8 - 10*T1^9*T2^8 - 
     18*T1^10*T2^8 - 40*T1^11*T2^8 + 95*T1^12*T2^8 - 38*T1^13*T2^8 + 
     6*T1^14*T2^8 + 12*T1^15*T2^8 + 2*T1^16*T2^8 - 6*T1*T2^9 - 12*T1^2*T2^9 + 
     21*T1^3*T2^9 - 27*T1^4*T2^9 - 31*T1^5*T2^9 + 29*T1^6*T2^9 + 
     8*T1^7*T2^9 - 10*T1^8*T2^9 - 10*T1^9*T2^9 + 8*T1^10*T2^9 + 
     29*T1^11*T2^9 - 31*T1^12*T2^9 - 27*T1^13*T2^9 + 21*T1^14*T2^9 - 
     12*T1^15*T2^9 - 6*T1^16*T2^9 + 10*T1^2*T2^10 - 6*T1^3*T2^10 + 
     5*T1^4*T2^10 + 21*T1^5*T2^10 - 11*T1^6*T2^10 + 29*T1^7*T2^10 - 
     18*T1^8*T2^10 + 8*T1^9*T2^10 - 18*T1^10*T2^10 + 29*T1^11*T2^10 - 
     11*T1^12*T2^10 + 21*T1^13*T2^10 + 5*T1^14*T2^10 - 6*T1^15*T2^10 + 
     10*T1^16*T2^10 - 8*T1^3*T2^11 + 6*T1^4*T2^11 - 22*T1^5*T2^11 + 
     21*T1^6*T2^11 - 31*T1^7*T2^11 - 40*T1^8*T2^11 + 29*T1^9*T2^11 + 
     29*T1^10*T2^11 - 40*T1^11*T2^11 - 31*T1^12*T2^11 + 21*T1^13*T2^11 - 
     22*T1^14*T2^11 + 6*T1^15*T2^11 - 8*T1^16*T2^11 + 6*T1^4*T2^12 + 
     6*T1^5*T2^12 + 5*T1^6*T2^12 - 27*T1^7*T2^12 + 95*T1^8*T2^12 - 
     31*T1^9*T2^12 - 11*T1^10*T2^12 - 31*T1^11*T2^12 + 95*T1^12*T2^12 - 
     27*T1^13*T2^12 + 5*T1^14*T2^12 + 6*T1^15*T2^12 + 6*T1^16*T2^12 - 
     8*T1^5*T2^13 - 6*T1^6*T2^13 + 21*T1^7*T2^13 - 38*T1^8*T2^13 - 
     27*T1^9*T2^13 + 21*T1^10*T2^13 + 21*T1^11*T2^13 - 27*T1^12*T2^13 - 
     38*T1^13*T2^13 + 21*T1^14*T2^13 - 6*T1^15*T2^13 - 8*T1^16*T2^13 + 
     10*T1^6*T2^14 - 12*T1^7*T2^14 + 6*T1^8*T2^14 + 21*T1^9*T2^14 + 
     5*T1^10*T2^14 - 22*T1^11*T2^14 + 5*T1^12*T2^14 + 21*T1^13*T2^14 + 
     6*T1^14*T2^14 - 12*T1^15*T2^14 + 10*T1^16*T2^14 - 6*T1^7*T2^15 + 
     12*T1^8*T2^15 - 12*T1^9*T2^15 - 6*T1^10*T2^15 + 6*T1^11*T2^15 + 
     6*T1^12*T2^15 - 6*T1^13*T2^15 - 12*T1^14*T2^15 + 12*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)/(T1^8*T2^8)}, 
 Knot[11, NonAlternating, 24] -> 
  {(1 - 3*T + 5*T^2 - 5*T^3 + 5*T^4 - 3*T^5 + T^6)/T^3, 
   (1 - 3*T1 + 5*T1^2 - 5*T1^3 + 5*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 - 
     6*T1^2*T2 - 6*T1^5*T2 + 6*T1^6*T2 - 3*T1^7*T2 + 5*T2^2 - 6*T1*T2^2 - 
     T1^2*T2^2 + 15*T1^3*T2^2 - 11*T1^4*T2^2 + 15*T1^5*T2^2 - T1^6*T2^2 - 
     6*T1^7*T2^2 + 5*T1^8*T2^2 - 5*T2^3 + 15*T1^2*T2^3 - 24*T1^3*T2^3 + 
     5*T1^4*T2^3 + 5*T1^5*T2^3 - 24*T1^6*T2^3 + 15*T1^7*T2^3 - 5*T1^9*T2^3 + 
     5*T2^4 - 11*T1^2*T2^4 + 5*T1^3*T2^4 + 15*T1^4*T2^4 - 25*T1^5*T2^4 + 
     15*T1^6*T2^4 + 5*T1^7*T2^4 - 11*T1^8*T2^4 + 5*T1^10*T2^4 - 3*T2^5 - 
     6*T1*T2^5 + 15*T1^2*T2^5 + 5*T1^3*T2^5 - 25*T1^4*T2^5 + 26*T1^5*T2^5 + 
     26*T1^6*T2^5 - 25*T1^7*T2^5 + 5*T1^8*T2^5 + 15*T1^9*T2^5 - 
     6*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 6*T1*T2^6 - T1^2*T2^6 - 
     24*T1^3*T2^6 + 15*T1^4*T2^6 + 26*T1^5*T2^6 - 84*T1^6*T2^6 + 
     26*T1^7*T2^6 + 15*T1^8*T2^6 - 24*T1^9*T2^6 - T1^10*T2^6 + 6*T1^11*T2^6 + 
     T1^12*T2^6 - 3*T1*T2^7 - 6*T1^2*T2^7 + 15*T1^3*T2^7 + 5*T1^4*T2^7 - 
     25*T1^5*T2^7 + 26*T1^6*T2^7 + 26*T1^7*T2^7 - 25*T1^8*T2^7 + 
     5*T1^9*T2^7 + 15*T1^10*T2^7 - 6*T1^11*T2^7 - 3*T1^12*T2^7 + 
     5*T1^2*T2^8 - 11*T1^4*T2^8 + 5*T1^5*T2^8 + 15*T1^6*T2^8 - 25*T1^7*T2^8 + 
     15*T1^8*T2^8 + 5*T1^9*T2^8 - 11*T1^10*T2^8 + 5*T1^12*T2^8 - 
     5*T1^3*T2^9 + 15*T1^5*T2^9 - 24*T1^6*T2^9 + 5*T1^7*T2^9 + 5*T1^8*T2^9 - 
     24*T1^9*T2^9 + 15*T1^10*T2^9 - 5*T1^12*T2^9 + 5*T1^4*T2^10 - 
     6*T1^5*T2^10 - T1^6*T2^10 + 15*T1^7*T2^10 - 11*T1^8*T2^10 + 
     15*T1^9*T2^10 - T1^10*T2^10 - 6*T1^11*T2^10 + 5*T1^12*T2^10 - 
     3*T1^5*T2^11 + 6*T1^6*T2^11 - 6*T1^7*T2^11 - 6*T1^10*T2^11 + 
     6*T1^11*T2^11 - 3*T1^12*T2^11 + T1^6*T2^12 - 3*T1^7*T2^12 + 
     5*T1^8*T2^12 - 5*T1^9*T2^12 + 5*T1^10*T2^12 - 3*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, NonAlternating, 25] -> 
  {(1 - 5*T + 11*T^2 - 13*T^3 + 11*T^4 - 5*T^5 + T^6)/T^3, 
   (1 - 5*T1 + 11*T1^2 - 13*T1^3 + 11*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 30*T1^2*T2 + 9*T1^3*T2 + 9*T1^4*T2 - 30*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 11*T2^2 - 30*T1*T2^2 + 6*T1^2*T2^2 + 
     85*T1^3*T2^2 - 84*T1^4*T2^2 + 85*T1^5*T2^2 + 6*T1^6*T2^2 - 
     30*T1^7*T2^2 + 11*T1^8*T2^2 - 13*T2^3 + 9*T1*T2^3 + 85*T1^2*T2^3 - 
     196*T1^3*T2^3 + 29*T1^4*T2^3 + 29*T1^5*T2^3 - 196*T1^6*T2^3 + 
     85*T1^7*T2^3 + 9*T1^8*T2^3 - 13*T1^9*T2^3 + 11*T2^4 + 9*T1*T2^4 - 
     84*T1^2*T2^4 + 29*T1^3*T2^4 + 360*T1^4*T2^4 - 318*T1^5*T2^4 + 
     360*T1^6*T2^4 + 29*T1^7*T2^4 - 84*T1^8*T2^4 + 9*T1^9*T2^4 + 
     11*T1^10*T2^4 - 5*T2^5 - 30*T1*T2^5 + 85*T1^2*T2^5 + 29*T1^3*T2^5 - 
     318*T1^4*T2^5 + 2*T1^5*T2^5 + 2*T1^6*T2^5 - 318*T1^7*T2^5 + 
     29*T1^8*T2^5 + 85*T1^9*T2^5 - 30*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 + 6*T1^2*T2^6 - 196*T1^3*T2^6 + 360*T1^4*T2^6 + 2*T1^5*T2^6 + 
     144*T1^6*T2^6 + 2*T1^7*T2^6 + 360*T1^8*T2^6 - 196*T1^9*T2^6 + 
     6*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 30*T1^2*T2^7 + 
     85*T1^3*T2^7 + 29*T1^4*T2^7 - 318*T1^5*T2^7 + 2*T1^6*T2^7 + 
     2*T1^7*T2^7 - 318*T1^8*T2^7 + 29*T1^9*T2^7 + 85*T1^10*T2^7 - 
     30*T1^11*T2^7 - 5*T1^12*T2^7 + 11*T1^2*T2^8 + 9*T1^3*T2^8 - 
     84*T1^4*T2^8 + 29*T1^5*T2^8 + 360*T1^6*T2^8 - 318*T1^7*T2^8 + 
     360*T1^8*T2^8 + 29*T1^9*T2^8 - 84*T1^10*T2^8 + 9*T1^11*T2^8 + 
     11*T1^12*T2^8 - 13*T1^3*T2^9 + 9*T1^4*T2^9 + 85*T1^5*T2^9 - 
     196*T1^6*T2^9 + 29*T1^7*T2^9 + 29*T1^8*T2^9 - 196*T1^9*T2^9 + 
     85*T1^10*T2^9 + 9*T1^11*T2^9 - 13*T1^12*T2^9 + 11*T1^4*T2^10 - 
     30*T1^5*T2^10 + 6*T1^6*T2^10 + 85*T1^7*T2^10 - 84*T1^8*T2^10 + 
     85*T1^9*T2^10 + 6*T1^10*T2^10 - 30*T1^11*T2^10 + 11*T1^12*T2^10 - 
     5*T1^5*T2^11 + 20*T1^6*T2^11 - 30*T1^7*T2^11 + 9*T1^8*T2^11 + 
     9*T1^9*T2^11 - 30*T1^10*T2^11 + 20*T1^11*T2^11 - 5*T1^12*T2^11 + 
     T1^6*T2^12 - 5*T1^7*T2^12 + 11*T1^8*T2^12 - 13*T1^9*T2^12 + 
     11*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, NonAlternating, 26] -> 
  {-((1 - 5*T + 9*T^2 - 11*T^3 + 9*T^4 - 5*T^5 + T^6)/T^3), 
   -((T1 + T1^4 + T2 - 11*T1*T2 + 10*T1^2*T2 - 15*T1^3*T2 + 10*T1^4*T2 - 
      11*T1^5*T2 + T1^6*T2 + 10*T1*T2^2 + 24*T1^2*T2^2 - 5*T1^3*T2^2 - 
      5*T1^4*T2^2 + 24*T1^5*T2^2 + 10*T1^6*T2^2 - 15*T1*T2^3 - 5*T1^2*T2^3 - 
      162*T1^3*T2^3 + 212*T1^4*T2^3 - 162*T1^5*T2^3 - 5*T1^6*T2^3 - 
      15*T1^7*T2^3 + T2^4 + 10*T1*T2^4 - 5*T1^2*T2^4 + 212*T1^3*T2^4 - 
      84*T1^4*T2^4 - 84*T1^5*T2^4 + 212*T1^6*T2^4 - 5*T1^7*T2^4 + 
      10*T1^8*T2^4 + T1^9*T2^4 - 11*T1*T2^5 + 24*T1^2*T2^5 - 162*T1^3*T2^5 - 
      84*T1^4*T2^5 + 144*T1^5*T2^5 - 84*T1^6*T2^5 - 162*T1^7*T2^5 + 
      24*T1^8*T2^5 - 11*T1^9*T2^5 + T1*T2^6 + 10*T1^2*T2^6 - 5*T1^3*T2^6 + 
      212*T1^4*T2^6 - 84*T1^5*T2^6 - 84*T1^6*T2^6 + 212*T1^7*T2^6 - 
      5*T1^8*T2^6 + 10*T1^9*T2^6 + T1^10*T2^6 - 15*T1^3*T2^7 - 5*T1^4*T2^7 - 
      162*T1^5*T2^7 + 212*T1^6*T2^7 - 162*T1^7*T2^7 - 5*T1^8*T2^7 - 
      15*T1^9*T2^7 + 10*T1^4*T2^8 + 24*T1^5*T2^8 - 5*T1^6*T2^8 - 
      5*T1^7*T2^8 + 24*T1^8*T2^8 + 10*T1^9*T2^8 + T1^4*T2^9 - 11*T1^5*T2^9 + 
      10*T1^6*T2^9 - 15*T1^7*T2^9 + 10*T1^8*T2^9 - 11*T1^9*T2^9 + 
      T1^10*T2^9 + T1^6*T2^10 + T1^9*T2^10)/(T1^5*T2^5))}, 
 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), 
   -((3 - 9*T1 + 9*T1^2 - 6*T1^3 + 3*T1^4 - 6*T1^5 + 9*T1^6 - 9*T1^7 + 
      3*T1^8 - 9*T2 + 18*T1*T2 - 9*T1^3*T2 + 9*T1^4*T2 + 9*T1^5*T2 - 
      9*T1^6*T2 + 18*T1^8*T2 - 9*T1^9*T2 + 9*T2^2 - 45*T1^2*T2^2 + 
      37*T1^3*T2^2 - 17*T1^4*T2^2 - 11*T1^5*T2^2 - 17*T1^6*T2^2 + 
      37*T1^7*T2^2 - 45*T1^8*T2^2 + 9*T1^10*T2^2 - 6*T2^3 - 9*T1*T2^3 + 
      37*T1^2*T2^3 + 2*T1^3*T2^3 - 18*T1^4*T2^3 + 23*T1^5*T2^3 + 
      23*T1^6*T2^3 - 18*T1^7*T2^3 + 2*T1^8*T2^3 + 37*T1^9*T2^3 - 
      9*T1^10*T2^3 - 6*T1^11*T2^3 + 3*T2^4 + 9*T1*T2^4 - 17*T1^2*T2^4 - 
      18*T1^3*T2^4 + 11*T1^4*T2^4 - 29*T1^6*T2^4 + 11*T1^8*T2^4 - 
      18*T1^9*T2^4 - 17*T1^10*T2^4 + 9*T1^11*T2^4 + 3*T1^12*T2^4 - 6*T2^5 + 
      9*T1*T2^5 - 11*T1^2*T2^5 + 23*T1^3*T2^5 - 6*T1^5*T2^5 + 11*T1^6*T2^5 + 
      11*T1^7*T2^5 - 6*T1^8*T2^5 + 23*T1^10*T2^5 - 11*T1^11*T2^5 + 
      9*T1^12*T2^5 - 6*T1^13*T2^5 + 9*T2^6 - 9*T1*T2^6 - 17*T1^2*T2^6 + 
      23*T1^3*T2^6 - 29*T1^4*T2^6 + 11*T1^5*T2^6 - 9*T1^6*T2^6 + 
      7*T1^7*T2^6 - 9*T1^8*T2^6 + 11*T1^9*T2^6 - 29*T1^10*T2^6 + 
      23*T1^11*T2^6 - 17*T1^12*T2^6 - 9*T1^13*T2^6 + 9*T1^14*T2^6 - 9*T2^7 + 
      37*T1^2*T2^7 - 18*T1^3*T2^7 + 11*T1^5*T2^7 + 7*T1^6*T2^7 - 
      10*T1^7*T2^7 - 10*T1^8*T2^7 + 7*T1^9*T2^7 + 11*T1^10*T2^7 - 
      18*T1^12*T2^7 + 37*T1^13*T2^7 - 9*T1^15*T2^7 + 3*T2^8 + 18*T1*T2^8 - 
      45*T1^2*T2^8 + 2*T1^3*T2^8 + 11*T1^4*T2^8 - 6*T1^5*T2^8 - 9*T1^6*T2^8 - 
      10*T1^7*T2^8 + 36*T1^8*T2^8 - 10*T1^9*T2^8 - 9*T1^10*T2^8 - 
      6*T1^11*T2^8 + 11*T1^12*T2^8 + 2*T1^13*T2^8 - 45*T1^14*T2^8 + 
      18*T1^15*T2^8 + 3*T1^16*T2^8 - 9*T1*T2^9 + 37*T1^3*T2^9 - 
      18*T1^4*T2^9 + 11*T1^6*T2^9 + 7*T1^7*T2^9 - 10*T1^8*T2^9 - 
      10*T1^9*T2^9 + 7*T1^10*T2^9 + 11*T1^11*T2^9 - 18*T1^13*T2^9 + 
      37*T1^14*T2^9 - 9*T1^16*T2^9 + 9*T1^2*T2^10 - 9*T1^3*T2^10 - 
      17*T1^4*T2^10 + 23*T1^5*T2^10 - 29*T1^6*T2^10 + 11*T1^7*T2^10 - 
      9*T1^8*T2^10 + 7*T1^9*T2^10 - 9*T1^10*T2^10 + 11*T1^11*T2^10 - 
      29*T1^12*T2^10 + 23*T1^13*T2^10 - 17*T1^14*T2^10 - 9*T1^15*T2^10 + 
      9*T1^16*T2^10 - 6*T1^3*T2^11 + 9*T1^4*T2^11 - 11*T1^5*T2^11 + 
      23*T1^6*T2^11 - 6*T1^8*T2^11 + 11*T1^9*T2^11 + 11*T1^10*T2^11 - 
      6*T1^11*T2^11 + 23*T1^13*T2^11 - 11*T1^14*T2^11 + 9*T1^15*T2^11 - 
      6*T1^16*T2^11 + 3*T1^4*T2^12 + 9*T1^5*T2^12 - 17*T1^6*T2^12 - 
      18*T1^7*T2^12 + 11*T1^8*T2^12 - 29*T1^10*T2^12 + 11*T1^12*T2^12 - 
      18*T1^13*T2^12 - 17*T1^14*T2^12 + 9*T1^15*T2^12 + 3*T1^16*T2^12 - 
      6*T1^5*T2^13 - 9*T1^6*T2^13 + 37*T1^7*T2^13 + 2*T1^8*T2^13 - 
      18*T1^9*T2^13 + 23*T1^10*T2^13 + 23*T1^11*T2^13 - 18*T1^12*T2^13 + 
      2*T1^13*T2^13 + 37*T1^14*T2^13 - 9*T1^15*T2^13 - 6*T1^16*T2^13 + 
      9*T1^6*T2^14 - 45*T1^8*T2^14 + 37*T1^9*T2^14 - 17*T1^10*T2^14 - 
      11*T1^11*T2^14 - 17*T1^12*T2^14 + 37*T1^13*T2^14 - 45*T1^14*T2^14 + 
      9*T1^16*T2^14 - 9*T1^7*T2^15 + 18*T1^8*T2^15 - 9*T1^10*T2^15 + 
      9*T1^11*T2^15 + 9*T1^12*T2^15 - 9*T1^13*T2^15 + 18*T1^15*T2^15 - 
      9*T1^16*T2^15 + 3*T1^8*T2^16 - 9*T1^9*T2^16 + 9*T1^10*T2^16 - 
      6*T1^11*T2^16 + 3*T1^12*T2^16 - 6*T1^13*T2^16 + 9*T1^14*T2^16 - 
      9*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[11, NonAlternating, 28] -> {(1 - 5*T + 9*T^2 - 5*T^3 + T^4)/T^2, 
   (2 - 5*T1 - 5*T1^2 + 2*T1^3 - 5*T2 + 11*T1*T2 + 25*T1^2*T2 + 11*T1^3*T2 - 
     5*T1^4*T2 - 5*T2^2 + 25*T1*T2^2 - 66*T1^2*T2^2 - 66*T1^3*T2^2 + 
     25*T1^4*T2^2 - 5*T1^5*T2^2 + 2*T2^3 + 11*T1*T2^3 - 66*T1^2*T2^3 + 
     228*T1^3*T2^3 - 66*T1^4*T2^3 + 11*T1^5*T2^3 + 2*T1^6*T2^3 - 5*T1*T2^4 + 
     25*T1^2*T2^4 - 66*T1^3*T2^4 - 66*T1^4*T2^4 + 25*T1^5*T2^4 - 
     5*T1^6*T2^4 - 5*T1^2*T2^5 + 11*T1^3*T2^5 + 25*T1^4*T2^5 + 11*T1^5*T2^5 - 
     5*T1^6*T2^5 + 2*T1^3*T2^6 - 5*T1^4*T2^6 - 5*T1^5*T2^6 + 2*T1^6*T2^6)/
    (T1^3*T2^3)}, Knot[11, NonAlternating, 29] -> 
  {-((3 - 13*T + 19*T^2 - 13*T^3 + 3*T^4)/T^2), 
   -((30 - 126*T1 + 182*T1^2 - 126*T1^3 + 30*T1^4 - 126*T2 + 402*T1*T2 - 
      233*T1^2*T2 - 233*T1^3*T2 + 402*T1^4*T2 - 126*T1^5*T2 + 182*T2^2 - 
      233*T1*T2^2 - 946*T1^2*T2^2 + 1690*T1^3*T2^2 - 946*T1^4*T2^2 - 
      233*T1^5*T2^2 + 182*T1^6*T2^2 - 126*T2^3 - 233*T1*T2^3 + 
      1690*T1^2*T2^3 - 1034*T1^3*T2^3 - 1034*T1^4*T2^3 + 1690*T1^5*T2^3 - 
      233*T1^6*T2^3 - 126*T1^7*T2^3 + 30*T2^4 + 402*T1*T2^4 - 946*T1^2*T2^4 - 
      1034*T1^3*T2^4 + 2364*T1^4*T2^4 - 1034*T1^5*T2^4 - 946*T1^6*T2^4 + 
      402*T1^7*T2^4 + 30*T1^8*T2^4 - 126*T1*T2^5 - 233*T1^2*T2^5 + 
      1690*T1^3*T2^5 - 1034*T1^4*T2^5 - 1034*T1^5*T2^5 + 1690*T1^6*T2^5 - 
      233*T1^7*T2^5 - 126*T1^8*T2^5 + 182*T1^2*T2^6 - 233*T1^3*T2^6 - 
      946*T1^4*T2^6 + 1690*T1^5*T2^6 - 946*T1^6*T2^6 - 233*T1^7*T2^6 + 
      182*T1^8*T2^6 - 126*T1^3*T2^7 + 402*T1^4*T2^7 - 233*T1^5*T2^7 - 
      233*T1^6*T2^7 + 402*T1^7*T2^7 - 126*T1^8*T2^7 + 30*T1^4*T2^8 - 
      126*T1^5*T2^8 + 182*T1^6*T2^8 - 126*T1^7*T2^8 + 30*T1^8*T2^8)/
     (T1^4*T2^4))}, Knot[11, NonAlternating, 30] -> 
  {-((2 - 6*T + 6*T^2 - 5*T^3 + 6*T^4 - 6*T^5 + 2*T^6)/T^3), 
   -((17 - 51*T1 + 50*T1^2 - 41*T1^3 + 50*T1^4 - 51*T1^5 + 17*T1^6 - 51*T2 + 
      102*T1*T2 + 3*T1^2*T2 - 27*T1^3*T2 - 27*T1^4*T2 + 3*T1^5*T2 + 
      102*T1^6*T2 - 51*T1^7*T2 + 50*T2^2 + 3*T1*T2^2 - 263*T1^2*T2^2 + 
      189*T1^3*T2^2 - 87*T1^4*T2^2 + 189*T1^5*T2^2 - 263*T1^6*T2^2 + 
      3*T1^7*T2^2 + 50*T1^8*T2^2 - 41*T2^3 - 27*T1*T2^3 + 189*T1^2*T2^3 + 
      38*T1^3*T2^3 - 70*T1^4*T2^3 - 70*T1^5*T2^3 + 38*T1^6*T2^3 + 
      189*T1^7*T2^3 - 27*T1^8*T2^3 - 41*T1^9*T2^3 + 50*T2^4 - 27*T1*T2^4 - 
      87*T1^2*T2^4 - 70*T1^3*T2^4 + 17*T1^4*T2^4 + 41*T1^5*T2^4 + 
      17*T1^6*T2^4 - 70*T1^7*T2^4 - 87*T1^8*T2^4 - 27*T1^9*T2^4 + 
      50*T1^10*T2^4 - 51*T2^5 + 3*T1*T2^5 + 189*T1^2*T2^5 - 70*T1^3*T2^5 + 
      41*T1^4*T2^5 - 8*T1^5*T2^5 - 8*T1^6*T2^5 + 41*T1^7*T2^5 - 
      70*T1^8*T2^5 + 189*T1^9*T2^5 + 3*T1^10*T2^5 - 51*T1^11*T2^5 + 17*T2^6 + 
      102*T1*T2^6 - 263*T1^2*T2^6 + 38*T1^3*T2^6 + 17*T1^4*T2^6 - 
      8*T1^5*T2^6 - 24*T1^6*T2^6 - 8*T1^7*T2^6 + 17*T1^8*T2^6 + 
      38*T1^9*T2^6 - 263*T1^10*T2^6 + 102*T1^11*T2^6 + 17*T1^12*T2^6 - 
      51*T1*T2^7 + 3*T1^2*T2^7 + 189*T1^3*T2^7 - 70*T1^4*T2^7 + 
      41*T1^5*T2^7 - 8*T1^6*T2^7 - 8*T1^7*T2^7 + 41*T1^8*T2^7 - 
      70*T1^9*T2^7 + 189*T1^10*T2^7 + 3*T1^11*T2^7 - 51*T1^12*T2^7 + 
      50*T1^2*T2^8 - 27*T1^3*T2^8 - 87*T1^4*T2^8 - 70*T1^5*T2^8 + 
      17*T1^6*T2^8 + 41*T1^7*T2^8 + 17*T1^8*T2^8 - 70*T1^9*T2^8 - 
      87*T1^10*T2^8 - 27*T1^11*T2^8 + 50*T1^12*T2^8 - 41*T1^3*T2^9 - 
      27*T1^4*T2^9 + 189*T1^5*T2^9 + 38*T1^6*T2^9 - 70*T1^7*T2^9 - 
      70*T1^8*T2^9 + 38*T1^9*T2^9 + 189*T1^10*T2^9 - 27*T1^11*T2^9 - 
      41*T1^12*T2^9 + 50*T1^4*T2^10 + 3*T1^5*T2^10 - 263*T1^6*T2^10 + 
      189*T1^7*T2^10 - 87*T1^8*T2^10 + 189*T1^9*T2^10 - 263*T1^10*T2^10 + 
      3*T1^11*T2^10 + 50*T1^12*T2^10 - 51*T1^5*T2^11 + 102*T1^6*T2^11 + 
      3*T1^7*T2^11 - 27*T1^8*T2^11 - 27*T1^9*T2^11 + 3*T1^10*T2^11 + 
      102*T1^11*T2^11 - 51*T1^12*T2^11 + 17*T1^6*T2^12 - 51*T1^7*T2^12 + 
      50*T1^8*T2^12 - 41*T1^9*T2^12 + 50*T1^10*T2^12 - 51*T1^11*T2^12 + 
      17*T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, NonAlternating, 31] -> 
  {-((1 - 2*T - 2*T^2 + 5*T^3 - 2*T^4 - 2*T^5 + T^6)/T^3), 
   -((2 - 4*T1 - 4*T1^2 + 10*T1^3 - 4*T1^4 - 4*T1^5 + 2*T1^6 - 4*T2 + 
      4*T1*T2 + 16*T1^2*T2 - 12*T1^3*T2 - 12*T1^4*T2 + 16*T1^5*T2 + 
      4*T1^6*T2 - 4*T1^7*T2 - 4*T2^2 + 16*T1*T2^2 - 11*T1^2*T2^2 - 
      28*T1^3*T2^2 + 55*T1^4*T2^2 - 28*T1^5*T2^2 - 11*T1^6*T2^2 + 
      16*T1^7*T2^2 - 4*T1^8*T2^2 + 10*T2^3 - 12*T1*T2^3 - 28*T1^2*T2^3 + 
      22*T1^3*T2^3 - 10*T1^4*T2^3 - 10*T1^5*T2^3 + 22*T1^6*T2^3 - 
      28*T1^7*T2^3 - 12*T1^8*T2^3 + 10*T1^9*T2^3 - 4*T2^4 - 12*T1*T2^4 + 
      55*T1^2*T2^4 - 10*T1^3*T2^4 - 71*T1^4*T2^4 + 117*T1^5*T2^4 - 
      71*T1^6*T2^4 - 10*T1^7*T2^4 + 55*T1^8*T2^4 - 12*T1^9*T2^4 - 
      4*T1^10*T2^4 - 4*T2^5 + 16*T1*T2^5 - 28*T1^2*T2^5 - 10*T1^3*T2^5 + 
      117*T1^4*T2^5 - 70*T1^5*T2^5 - 70*T1^6*T2^5 + 117*T1^7*T2^5 - 
      10*T1^8*T2^5 - 28*T1^9*T2^5 + 16*T1^10*T2^5 - 4*T1^11*T2^5 + 2*T2^6 + 
      4*T1*T2^6 - 11*T1^2*T2^6 + 22*T1^3*T2^6 - 71*T1^4*T2^6 - 70*T1^5*T2^6 + 
      156*T1^6*T2^6 - 70*T1^7*T2^6 - 71*T1^8*T2^6 + 22*T1^9*T2^6 - 
      11*T1^10*T2^6 + 4*T1^11*T2^6 + 2*T1^12*T2^6 - 4*T1*T2^7 + 
      16*T1^2*T2^7 - 28*T1^3*T2^7 - 10*T1^4*T2^7 + 117*T1^5*T2^7 - 
      70*T1^6*T2^7 - 70*T1^7*T2^7 + 117*T1^8*T2^7 - 10*T1^9*T2^7 - 
      28*T1^10*T2^7 + 16*T1^11*T2^7 - 4*T1^12*T2^7 - 4*T1^2*T2^8 - 
      12*T1^3*T2^8 + 55*T1^4*T2^8 - 10*T1^5*T2^8 - 71*T1^6*T2^8 + 
      117*T1^7*T2^8 - 71*T1^8*T2^8 - 10*T1^9*T2^8 + 55*T1^10*T2^8 - 
      12*T1^11*T2^8 - 4*T1^12*T2^8 + 10*T1^3*T2^9 - 12*T1^4*T2^9 - 
      28*T1^5*T2^9 + 22*T1^6*T2^9 - 10*T1^7*T2^9 - 10*T1^8*T2^9 + 
      22*T1^9*T2^9 - 28*T1^10*T2^9 - 12*T1^11*T2^9 + 10*T1^12*T2^9 - 
      4*T1^4*T2^10 + 16*T1^5*T2^10 - 11*T1^6*T2^10 - 28*T1^7*T2^10 + 
      55*T1^8*T2^10 - 28*T1^9*T2^10 - 11*T1^10*T2^10 + 16*T1^11*T2^10 - 
      4*T1^12*T2^10 - 4*T1^5*T2^11 + 4*T1^6*T2^11 + 16*T1^7*T2^11 - 
      12*T1^8*T2^11 - 12*T1^9*T2^11 + 16*T1^10*T2^11 + 4*T1^11*T2^11 - 
      4*T1^12*T2^11 + 2*T1^6*T2^12 - 4*T1^7*T2^12 - 4*T1^8*T2^12 + 
      10*T1^9*T2^12 - 4*T1^10*T2^12 - 4*T1^11*T2^12 + 2*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[11, NonAlternating, 32] -> 
  {-((1 - 6*T + 16*T^2 - 23*T^3 + 16*T^4 - 6*T^5 + T^6)/T^3), 
   -((3 - 13*T1 + 19*T1^2 - 13*T1^3 + 3*T1^4 - 13*T2 + 38*T1*T2 - 
      20*T1^2*T2 - 20*T1^3*T2 + 38*T1^4*T2 - 13*T1^5*T2 + 19*T2^2 - 
      20*T1*T2^2 - 68*T1^2*T2^2 + 98*T1^3*T2^2 - 68*T1^4*T2^2 - 
      20*T1^5*T2^2 + 19*T1^6*T2^2 - 13*T2^3 - 20*T1*T2^3 + 98*T1^2*T2^3 - 
      24*T1^3*T2^3 - 24*T1^4*T2^3 + 98*T1^5*T2^3 - 20*T1^6*T2^3 - 
      13*T1^7*T2^3 + 3*T2^4 + 38*T1*T2^4 - 68*T1^2*T2^4 - 24*T1^3*T2^4 - 
      24*T1^5*T2^4 - 68*T1^6*T2^4 + 38*T1^7*T2^4 + 3*T1^8*T2^4 - 13*T1*T2^5 - 
      20*T1^2*T2^5 + 98*T1^3*T2^5 - 24*T1^4*T2^5 - 24*T1^5*T2^5 + 
      98*T1^6*T2^5 - 20*T1^7*T2^5 - 13*T1^8*T2^5 + 19*T1^2*T2^6 - 
      20*T1^3*T2^6 - 68*T1^4*T2^6 + 98*T1^5*T2^6 - 68*T1^6*T2^6 - 
      20*T1^7*T2^6 + 19*T1^8*T2^6 - 13*T1^3*T2^7 + 38*T1^4*T2^7 - 
      20*T1^5*T2^7 - 20*T1^6*T2^7 + 38*T1^7*T2^7 - 13*T1^8*T2^7 + 
      3*T1^4*T2^8 - 13*T1^5*T2^8 + 19*T1^6*T2^8 - 13*T1^7*T2^8 + 3*T1^8*T2^8)/
     (T1^4*T2^4))}, Knot[11, NonAlternating, 33] -> 
  {(1 - 6*T + 12*T^2 - 13*T^3 + 12*T^4 - 6*T^5 + T^6)/T^3, 
   (1 - 6*T1 + 12*T1^2 - 13*T1^3 + 12*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     30*T1*T2 - 36*T1^2*T2 + 6*T1^3*T2 + 6*T1^4*T2 - 36*T1^5*T2 + 
     30*T1^6*T2 - 6*T1^7*T2 + 12*T2^2 - 36*T1*T2^2 - 57*T1^2*T2^2 + 
     197*T1^3*T2^2 - 175*T1^4*T2^2 + 197*T1^5*T2^2 - 57*T1^6*T2^2 - 
     36*T1^7*T2^2 + 12*T1^8*T2^2 - 13*T2^3 + 6*T1*T2^3 + 197*T1^2*T2^3 - 
     282*T1^3*T2^3 + 21*T1^4*T2^3 + 21*T1^5*T2^3 - 282*T1^6*T2^3 + 
     197*T1^7*T2^3 + 6*T1^8*T2^3 - 13*T1^9*T2^3 + 12*T2^4 + 6*T1*T2^4 - 
     175*T1^2*T2^4 + 21*T1^3*T2^4 + 458*T1^4*T2^4 - 432*T1^5*T2^4 + 
     458*T1^6*T2^4 + 21*T1^7*T2^4 - 175*T1^8*T2^4 + 6*T1^9*T2^4 + 
     12*T1^10*T2^4 - 6*T2^5 - 36*T1*T2^5 + 197*T1^2*T2^5 + 21*T1^3*T2^5 - 
     432*T1^4*T2^5 + 146*T1^5*T2^5 + 146*T1^6*T2^5 - 432*T1^7*T2^5 + 
     21*T1^8*T2^5 + 197*T1^9*T2^5 - 36*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     30*T1*T2^6 - 57*T1^2*T2^6 - 282*T1^3*T2^6 + 458*T1^4*T2^6 + 
     146*T1^5*T2^6 - 384*T1^6*T2^6 + 146*T1^7*T2^6 + 458*T1^8*T2^6 - 
     282*T1^9*T2^6 - 57*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
     36*T1^2*T2^7 + 197*T1^3*T2^7 + 21*T1^4*T2^7 - 432*T1^5*T2^7 + 
     146*T1^6*T2^7 + 146*T1^7*T2^7 - 432*T1^8*T2^7 + 21*T1^9*T2^7 + 
     197*T1^10*T2^7 - 36*T1^11*T2^7 - 6*T1^12*T2^7 + 12*T1^2*T2^8 + 
     6*T1^3*T2^8 - 175*T1^4*T2^8 + 21*T1^5*T2^8 + 458*T1^6*T2^8 - 
     432*T1^7*T2^8 + 458*T1^8*T2^8 + 21*T1^9*T2^8 - 175*T1^10*T2^8 + 
     6*T1^11*T2^8 + 12*T1^12*T2^8 - 13*T1^3*T2^9 + 6*T1^4*T2^9 + 
     197*T1^5*T2^9 - 282*T1^6*T2^9 + 21*T1^7*T2^9 + 21*T1^8*T2^9 - 
     282*T1^9*T2^9 + 197*T1^10*T2^9 + 6*T1^11*T2^9 - 13*T1^12*T2^9 + 
     12*T1^4*T2^10 - 36*T1^5*T2^10 - 57*T1^6*T2^10 + 197*T1^7*T2^10 - 
     175*T1^8*T2^10 + 197*T1^9*T2^10 - 57*T1^10*T2^10 - 36*T1^11*T2^10 + 
     12*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 36*T1^7*T2^11 + 
     6*T1^8*T2^11 + 6*T1^9*T2^11 - 36*T1^10*T2^11 + 30*T1^11*T2^11 - 
     6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 12*T1^8*T2^12 - 
     13*T1^9*T2^12 + 12*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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)/(T1^6*T2^6))}, 
 Knot[11, NonAlternating, 35] -> 
  {-((2 - 10*T + 20*T^2 - 25*T^3 + 20*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((17 - 84*T1 + 167*T1^2 - 209*T1^3 + 167*T1^4 - 84*T1^5 + 17*T1^6 - 
      84*T2 + 330*T1*T2 - 403*T1^2*T2 + 203*T1^3*T2 + 203*T1^4*T2 - 
      403*T1^5*T2 + 330*T1^6*T2 - 84*T1^7*T2 + 167*T2^2 - 403*T1*T2^2 - 
      283*T1^2*T2^2 + 1255*T1^3*T2^2 - 1877*T1^4*T2^2 + 1255*T1^5*T2^2 - 
      283*T1^6*T2^2 - 403*T1^7*T2^2 + 167*T1^8*T2^2 - 209*T2^3 + 
      203*T1*T2^3 + 1255*T1^2*T2^3 - 1758*T1^3*T2^3 + 1051*T1^4*T2^3 + 
      1051*T1^5*T2^3 - 1758*T1^6*T2^3 + 1255*T1^7*T2^3 + 203*T1^8*T2^3 - 
      209*T1^9*T2^3 + 167*T2^4 + 203*T1*T2^4 - 1877*T1^2*T2^4 + 
      1051*T1^3*T2^4 + 386*T1^4*T2^4 - 1904*T1^5*T2^4 + 386*T1^6*T2^4 + 
      1051*T1^7*T2^4 - 1877*T1^8*T2^4 + 203*T1^9*T2^4 + 167*T1^10*T2^4 - 
      84*T2^5 - 403*T1*T2^5 + 1255*T1^2*T2^5 + 1051*T1^3*T2^5 - 
      1904*T1^4*T2^5 + 1544*T1^5*T2^5 + 1544*T1^6*T2^5 - 1904*T1^7*T2^5 + 
      1051*T1^8*T2^5 + 1255*T1^9*T2^5 - 403*T1^10*T2^5 - 84*T1^11*T2^5 + 
      17*T2^6 + 330*T1*T2^6 - 283*T1^2*T2^6 - 1758*T1^3*T2^6 + 
      386*T1^4*T2^6 + 1544*T1^5*T2^6 - 3744*T1^6*T2^6 + 1544*T1^7*T2^6 + 
      386*T1^8*T2^6 - 1758*T1^9*T2^6 - 283*T1^10*T2^6 + 330*T1^11*T2^6 + 
      17*T1^12*T2^6 - 84*T1*T2^7 - 403*T1^2*T2^7 + 1255*T1^3*T2^7 + 
      1051*T1^4*T2^7 - 1904*T1^5*T2^7 + 1544*T1^6*T2^7 + 1544*T1^7*T2^7 - 
      1904*T1^8*T2^7 + 1051*T1^9*T2^7 + 1255*T1^10*T2^7 - 403*T1^11*T2^7 - 
      84*T1^12*T2^7 + 167*T1^2*T2^8 + 203*T1^3*T2^8 - 1877*T1^4*T2^8 + 
      1051*T1^5*T2^8 + 386*T1^6*T2^8 - 1904*T1^7*T2^8 + 386*T1^8*T2^8 + 
      1051*T1^9*T2^8 - 1877*T1^10*T2^8 + 203*T1^11*T2^8 + 167*T1^12*T2^8 - 
      209*T1^3*T2^9 + 203*T1^4*T2^9 + 1255*T1^5*T2^9 - 1758*T1^6*T2^9 + 
      1051*T1^7*T2^9 + 1051*T1^8*T2^9 - 1758*T1^9*T2^9 + 1255*T1^10*T2^9 + 
      203*T1^11*T2^9 - 209*T1^12*T2^9 + 167*T1^4*T2^10 - 403*T1^5*T2^10 - 
      283*T1^6*T2^10 + 1255*T1^7*T2^10 - 1877*T1^8*T2^10 + 1255*T1^9*T2^10 - 
      283*T1^10*T2^10 - 403*T1^11*T2^10 + 167*T1^12*T2^10 - 84*T1^5*T2^11 + 
      330*T1^6*T2^11 - 403*T1^7*T2^11 + 203*T1^8*T2^11 + 203*T1^9*T2^11 - 
      403*T1^10*T2^11 + 330*T1^11*T2^11 - 84*T1^12*T2^11 + 17*T1^6*T2^12 - 
      84*T1^7*T2^12 + 167*T1^8*T2^12 - 209*T1^9*T2^12 + 167*T1^10*T2^12 - 
      84*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), 
   -((1 - 4*T1 + 8*T1^2 - 13*T1^3 + 15*T1^4 - 13*T1^5 + 8*T1^6 - 4*T1^7 + 
      T1^8 - 4*T2 + 12*T1*T2 - 16*T1^2*T2 + 20*T1^3*T2 - 8*T1^4*T2 - 
      8*T1^5*T2 + 20*T1^6*T2 - 16*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 8*T2^2 - 
      16*T1*T2^2 + 8*T1^2*T2^2 - 7*T1^3*T2^2 - 29*T1^4*T2^2 + 40*T1^5*T2^2 - 
      29*T1^6*T2^2 - 7*T1^7*T2^2 + 8*T1^8*T2^2 - 16*T1^9*T2^2 + 
      8*T1^10*T2^2 - 13*T2^3 + 20*T1*T2^3 - 7*T1^2*T2^3 + 18*T1^3*T2^3 + 
      43*T1^4*T2^3 - 18*T1^5*T2^3 - 18*T1^6*T2^3 + 43*T1^7*T2^3 + 
      18*T1^8*T2^3 - 7*T1^9*T2^3 + 20*T1^10*T2^3 - 13*T1^11*T2^3 + 15*T2^4 - 
      8*T1*T2^4 - 29*T1^2*T2^4 + 43*T1^3*T2^4 - 167*T1^4*T2^4 + 
      100*T1^5*T2^4 - 75*T1^6*T2^4 + 100*T1^7*T2^4 - 167*T1^8*T2^4 + 
      43*T1^9*T2^4 - 29*T1^10*T2^4 - 8*T1^11*T2^4 + 15*T1^12*T2^4 - 13*T2^5 - 
      8*T1*T2^5 + 40*T1^2*T2^5 - 18*T1^3*T2^5 + 100*T1^4*T2^5 + 
      66*T1^5*T2^5 - 44*T1^6*T2^5 - 44*T1^7*T2^5 + 66*T1^8*T2^5 + 
      100*T1^9*T2^5 - 18*T1^10*T2^5 + 40*T1^11*T2^5 - 8*T1^12*T2^5 - 
      13*T1^13*T2^5 + 8*T2^6 + 20*T1*T2^6 - 29*T1^2*T2^6 - 18*T1^3*T2^6 - 
      75*T1^4*T2^6 - 44*T1^5*T2^6 - 119*T1^6*T2^6 + 213*T1^7*T2^6 - 
      119*T1^8*T2^6 - 44*T1^9*T2^6 - 75*T1^10*T2^6 - 18*T1^11*T2^6 - 
      29*T1^12*T2^6 + 20*T1^13*T2^6 + 8*T1^14*T2^6 - 4*T2^7 - 16*T1*T2^7 - 
      7*T1^2*T2^7 + 43*T1^3*T2^7 + 100*T1^4*T2^7 - 44*T1^5*T2^7 + 
      213*T1^6*T2^7 - 120*T1^7*T2^7 - 120*T1^8*T2^7 + 213*T1^9*T2^7 - 
      44*T1^10*T2^7 + 100*T1^11*T2^7 + 43*T1^12*T2^7 - 7*T1^13*T2^7 - 
      16*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 8*T1^2*T2^8 + 
      18*T1^3*T2^8 - 167*T1^4*T2^8 + 66*T1^5*T2^8 - 119*T1^6*T2^8 - 
      120*T1^7*T2^8 + 264*T1^8*T2^8 - 120*T1^9*T2^8 - 119*T1^10*T2^8 + 
      66*T1^11*T2^8 - 167*T1^12*T2^8 + 18*T1^13*T2^8 + 8*T1^14*T2^8 + 
      12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 16*T1^2*T2^9 - 7*T1^3*T2^9 + 
      43*T1^4*T2^9 + 100*T1^5*T2^9 - 44*T1^6*T2^9 + 213*T1^7*T2^9 - 
      120*T1^8*T2^9 - 120*T1^9*T2^9 + 213*T1^10*T2^9 - 44*T1^11*T2^9 + 
      100*T1^12*T2^9 + 43*T1^13*T2^9 - 7*T1^14*T2^9 - 16*T1^15*T2^9 - 
      4*T1^16*T2^9 + 8*T1^2*T2^10 + 20*T1^3*T2^10 - 29*T1^4*T2^10 - 
      18*T1^5*T2^10 - 75*T1^6*T2^10 - 44*T1^7*T2^10 - 119*T1^8*T2^10 + 
      213*T1^9*T2^10 - 119*T1^10*T2^10 - 44*T1^11*T2^10 - 75*T1^12*T2^10 - 
      18*T1^13*T2^10 - 29*T1^14*T2^10 + 20*T1^15*T2^10 + 8*T1^16*T2^10 - 
      13*T1^3*T2^11 - 8*T1^4*T2^11 + 40*T1^5*T2^11 - 18*T1^6*T2^11 + 
      100*T1^7*T2^11 + 66*T1^8*T2^11 - 44*T1^9*T2^11 - 44*T1^10*T2^11 + 
      66*T1^11*T2^11 + 100*T1^12*T2^11 - 18*T1^13*T2^11 + 40*T1^14*T2^11 - 
      8*T1^15*T2^11 - 13*T1^16*T2^11 + 15*T1^4*T2^12 - 8*T1^5*T2^12 - 
      29*T1^6*T2^12 + 43*T1^7*T2^12 - 167*T1^8*T2^12 + 100*T1^9*T2^12 - 
      75*T1^10*T2^12 + 100*T1^11*T2^12 - 167*T1^12*T2^12 + 43*T1^13*T2^12 - 
      29*T1^14*T2^12 - 8*T1^15*T2^12 + 15*T1^16*T2^12 - 13*T1^5*T2^13 + 
      20*T1^6*T2^13 - 7*T1^7*T2^13 + 18*T1^8*T2^13 + 43*T1^9*T2^13 - 
      18*T1^10*T2^13 - 18*T1^11*T2^13 + 43*T1^12*T2^13 + 18*T1^13*T2^13 - 
      7*T1^14*T2^13 + 20*T1^15*T2^13 - 13*T1^16*T2^13 + 8*T1^6*T2^14 - 
      16*T1^7*T2^14 + 8*T1^8*T2^14 - 7*T1^9*T2^14 - 29*T1^10*T2^14 + 
      40*T1^11*T2^14 - 29*T1^12*T2^14 - 7*T1^13*T2^14 + 8*T1^14*T2^14 - 
      16*T1^15*T2^14 + 8*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 
      16*T1^9*T2^15 + 20*T1^10*T2^15 - 8*T1^11*T2^15 - 8*T1^12*T2^15 + 
      20*T1^13*T2^15 - 16*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + 
      T1^8*T2^16 - 4*T1^9*T2^16 + 8*T1^10*T2^16 - 13*T1^11*T2^16 + 
      15*T1^12*T2^16 - 13*T1^13*T2^16 + 8*T1^14*T2^16 - 4*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, Knot[11, NonAlternating, 37] -> 
  {-(((-1 + T - 2*T^2 + T^3)*(-1 + 2*T - T^2 + T^3))/T^3), 
   (2*(1 - 4*T1 + 5*T1^2 - 4*T1^3 + T1^4 - 4*T2 + 11*T1*T2 - 3*T1^2*T2 - 
      3*T1^3*T2 + 11*T1^4*T2 - 4*T1^5*T2 + 5*T2^2 - 3*T1*T2^2 - 
      26*T1^2*T2^2 + 24*T1^3*T2^2 - 26*T1^4*T2^2 - 3*T1^5*T2^2 + 
      5*T1^6*T2^2 - 4*T2^3 - 3*T1*T2^3 + 24*T1^2*T2^3 + 4*T1^3*T2^3 + 
      4*T1^4*T2^3 + 24*T1^5*T2^3 - 3*T1^6*T2^3 - 4*T1^7*T2^3 + T2^4 + 
      11*T1*T2^4 - 26*T1^2*T2^4 + 4*T1^3*T2^4 - 30*T1^4*T2^4 + 4*T1^5*T2^4 - 
      26*T1^6*T2^4 + 11*T1^7*T2^4 + T1^8*T2^4 - 4*T1*T2^5 - 3*T1^2*T2^5 + 
      24*T1^3*T2^5 + 4*T1^4*T2^5 + 4*T1^5*T2^5 + 24*T1^6*T2^5 - 3*T1^7*T2^5 - 
      4*T1^8*T2^5 + 5*T1^2*T2^6 - 3*T1^3*T2^6 - 26*T1^4*T2^6 + 24*T1^5*T2^6 - 
      26*T1^6*T2^6 - 3*T1^7*T2^6 + 5*T1^8*T2^6 - 4*T1^3*T2^7 + 11*T1^4*T2^7 - 
      3*T1^5*T2^7 - 3*T1^6*T2^7 + 11*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))/(T1^4*T2^4)}, 
 Knot[11, NonAlternating, 38] -> {-((1 - T - T^2 - T^3 + T^4)/T^2), 
   -((1 - T1 - T1^2 - T1^3 + T1^4 - T2 - 2*T1*T2 + 5*T1^2*T2 + 5*T1^3*T2 - 
      2*T1^4*T2 - T1^5*T2 - T2^2 + 5*T1*T2^2 - 2*T1^2*T2^2 - 8*T1^3*T2^2 - 
      2*T1^4*T2^2 + 5*T1^5*T2^2 - T1^6*T2^2 - T2^3 + 5*T1*T2^3 - 
      8*T1^2*T2^3 - 8*T1^5*T2^3 + 5*T1^6*T2^3 - T1^7*T2^3 + T2^4 - 
      2*T1*T2^4 - 2*T1^2*T2^4 + 24*T1^4*T2^4 - 2*T1^6*T2^4 - 2*T1^7*T2^4 + 
      T1^8*T2^4 - T1*T2^5 + 5*T1^2*T2^5 - 8*T1^3*T2^5 - 8*T1^6*T2^5 + 
      5*T1^7*T2^5 - T1^8*T2^5 - T1^2*T2^6 + 5*T1^3*T2^6 - 2*T1^4*T2^6 - 
      8*T1^5*T2^6 - 2*T1^6*T2^6 + 5*T1^7*T2^6 - T1^8*T2^6 - T1^3*T2^7 - 
      2*T1^4*T2^7 + 5*T1^5*T2^7 + 5*T1^6*T2^7 - 2*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)/
     (T1^4*T2^4))}, Knot[11, NonAlternating, 39] -> 
  {((2 - 2*T + T^2)*(1 - 2*T + 2*T^2))/T^2, 
   (3 - 7*T1 + 11*T1^2 - 7*T1^3 + 3*T1^4 - 7*T2 + 4*T1*T2 - 8*T1^2*T2 - 
     8*T1^3*T2 + 4*T1^4*T2 - 7*T1^5*T2 + 11*T2^2 - 8*T1*T2^2 + 55*T1^2*T2^2 - 
     47*T1^3*T2^2 + 55*T1^4*T2^2 - 8*T1^5*T2^2 + 11*T1^6*T2^2 - 7*T2^3 - 
     8*T1*T2^3 - 47*T1^2*T2^3 - 2*T1^3*T2^3 - 2*T1^4*T2^3 - 47*T1^5*T2^3 - 
     8*T1^6*T2^3 - 7*T1^7*T2^3 + 3*T2^4 + 4*T1*T2^4 + 55*T1^2*T2^4 - 
     2*T1^3*T2^4 + 36*T1^4*T2^4 - 2*T1^5*T2^4 + 55*T1^6*T2^4 + 4*T1^7*T2^4 + 
     3*T1^8*T2^4 - 7*T1*T2^5 - 8*T1^2*T2^5 - 47*T1^3*T2^5 - 2*T1^4*T2^5 - 
     2*T1^5*T2^5 - 47*T1^6*T2^5 - 8*T1^7*T2^5 - 7*T1^8*T2^5 + 11*T1^2*T2^6 - 
     8*T1^3*T2^6 + 55*T1^4*T2^6 - 47*T1^5*T2^6 + 55*T1^6*T2^6 - 8*T1^7*T2^6 + 
     11*T1^8*T2^6 - 7*T1^3*T2^7 + 4*T1^4*T2^7 - 8*T1^5*T2^7 - 8*T1^6*T2^7 + 
     4*T1^7*T2^7 - 7*T1^8*T2^7 + 3*T1^4*T2^8 - 7*T1^5*T2^8 + 11*T1^6*T2^8 - 
     7*T1^7*T2^8 + 3*T1^8*T2^8)/(T1^4*T2^4)}, Knot[11, NonAlternating, 40] -> 
  {(2 - 8*T + 18*T^2 - 23*T^3 + 18*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (9 - 36*T1 + 82*T1^2 - 105*T1^3 + 82*T1^4 - 36*T1^5 + 9*T1^6 - 36*T2 + 
     106*T1*T2 - 179*T1^2*T2 + 89*T1^3*T2 + 89*T1^4*T2 - 179*T1^5*T2 + 
     106*T1^6*T2 - 36*T1^7*T2 + 82*T2^2 - 179*T1*T2^2 + 270*T1^2*T2^2 - 
     46*T1^3*T2^2 - 76*T1^4*T2^2 - 46*T1^5*T2^2 + 270*T1^6*T2^2 - 
     179*T1^7*T2^2 + 82*T1^8*T2^2 - 105*T2^3 + 89*T1*T2^3 - 46*T1^2*T2^3 - 
     404*T1^3*T2^3 + 206*T1^4*T2^3 + 206*T1^5*T2^3 - 404*T1^6*T2^3 - 
     46*T1^7*T2^3 + 89*T1^8*T2^3 - 105*T1^9*T2^3 + 82*T2^4 + 89*T1*T2^4 - 
     76*T1^2*T2^4 + 206*T1^3*T2^4 + 935*T1^4*T2^4 - 1393*T1^5*T2^4 + 
     935*T1^6*T2^4 + 206*T1^7*T2^4 - 76*T1^8*T2^4 + 89*T1^9*T2^4 + 
     82*T1^10*T2^4 - 36*T2^5 - 179*T1*T2^5 - 46*T1^2*T2^5 + 206*T1^3*T2^5 - 
     1393*T1^4*T2^5 + 622*T1^5*T2^5 + 622*T1^6*T2^5 - 1393*T1^7*T2^5 + 
     206*T1^8*T2^5 - 46*T1^9*T2^5 - 179*T1^10*T2^5 - 36*T1^11*T2^5 + 9*T2^6 + 
     106*T1*T2^6 + 270*T1^2*T2^6 - 404*T1^3*T2^6 + 935*T1^4*T2^6 + 
     622*T1^5*T2^6 - 1176*T1^6*T2^6 + 622*T1^7*T2^6 + 935*T1^8*T2^6 - 
     404*T1^9*T2^6 + 270*T1^10*T2^6 + 106*T1^11*T2^6 + 9*T1^12*T2^6 - 
     36*T1*T2^7 - 179*T1^2*T2^7 - 46*T1^3*T2^7 + 206*T1^4*T2^7 - 
     1393*T1^5*T2^7 + 622*T1^6*T2^7 + 622*T1^7*T2^7 - 1393*T1^8*T2^7 + 
     206*T1^9*T2^7 - 46*T1^10*T2^7 - 179*T1^11*T2^7 - 36*T1^12*T2^7 + 
     82*T1^2*T2^8 + 89*T1^3*T2^8 - 76*T1^4*T2^8 + 206*T1^5*T2^8 + 
     935*T1^6*T2^8 - 1393*T1^7*T2^8 + 935*T1^8*T2^8 + 206*T1^9*T2^8 - 
     76*T1^10*T2^8 + 89*T1^11*T2^8 + 82*T1^12*T2^8 - 105*T1^3*T2^9 + 
     89*T1^4*T2^9 - 46*T1^5*T2^9 - 404*T1^6*T2^9 + 206*T1^7*T2^9 + 
     206*T1^8*T2^9 - 404*T1^9*T2^9 - 46*T1^10*T2^9 + 89*T1^11*T2^9 - 
     105*T1^12*T2^9 + 82*T1^4*T2^10 - 179*T1^5*T2^10 + 270*T1^6*T2^10 - 
     46*T1^7*T2^10 - 76*T1^8*T2^10 - 46*T1^9*T2^10 + 270*T1^10*T2^10 - 
     179*T1^11*T2^10 + 82*T1^12*T2^10 - 36*T1^5*T2^11 + 106*T1^6*T2^11 - 
     179*T1^7*T2^11 + 89*T1^8*T2^11 + 89*T1^9*T2^11 - 179*T1^10*T2^11 + 
     106*T1^11*T2^11 - 36*T1^12*T2^11 + 9*T1^6*T2^12 - 36*T1^7*T2^12 + 
     82*T1^8*T2^12 - 105*T1^9*T2^12 + 82*T1^10*T2^12 - 36*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   (2 - 8*T1 + 16*T1^2 - 18*T1^3 + 18*T1^4 - 18*T1^5 + 16*T1^6 - 8*T1^7 + 
     2*T1^8 - 8*T2 + 24*T1*T2 - 32*T1^2*T2 + 8*T1^3*T2 + 8*T1^6*T2 - 
     32*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 16*T2^2 - 32*T1*T2^2 + 
     14*T1^2*T2^2 + 55*T1^3*T2^2 - 30*T1^4*T2^2 + 16*T1^5*T2^2 - 
     30*T1^6*T2^2 + 55*T1^7*T2^2 + 14*T1^8*T2^2 - 32*T1^9*T2^2 + 
     16*T1^10*T2^2 - 18*T2^3 + 8*T1*T2^3 + 55*T1^2*T2^3 - 126*T1^3*T2^3 - 
     7*T1^4*T2^3 + 14*T1^5*T2^3 + 14*T1^6*T2^3 - 7*T1^7*T2^3 - 
     126*T1^8*T2^3 + 55*T1^9*T2^3 + 8*T1^10*T2^3 - 18*T1^11*T2^3 + 18*T2^4 - 
     30*T1^2*T2^4 - 7*T1^3*T2^4 + 239*T1^4*T2^4 - 154*T1^5*T2^4 + 
     115*T1^6*T2^4 - 154*T1^7*T2^4 + 239*T1^8*T2^4 - 7*T1^9*T2^4 - 
     30*T1^10*T2^4 + 18*T1^12*T2^4 - 18*T2^5 + 16*T1^2*T2^5 + 14*T1^3*T2^5 - 
     154*T1^4*T2^5 - 44*T1^5*T2^5 + 27*T1^6*T2^5 + 27*T1^7*T2^5 - 
     44*T1^8*T2^5 - 154*T1^9*T2^5 + 14*T1^10*T2^5 + 16*T1^11*T2^5 - 
     18*T1^13*T2^5 + 16*T2^6 + 8*T1*T2^6 - 30*T1^2*T2^6 + 14*T1^3*T2^6 + 
     115*T1^4*T2^6 + 27*T1^5*T2^6 + 62*T1^6*T2^6 - 72*T1^7*T2^6 + 
     62*T1^8*T2^6 + 27*T1^9*T2^6 + 115*T1^10*T2^6 + 14*T1^11*T2^6 - 
     30*T1^12*T2^6 + 8*T1^13*T2^6 + 16*T1^14*T2^6 - 8*T2^7 - 32*T1*T2^7 + 
     55*T1^2*T2^7 - 7*T1^3*T2^7 - 154*T1^4*T2^7 + 27*T1^5*T2^7 - 
     72*T1^6*T2^7 + 8*T1^7*T2^7 + 8*T1^8*T2^7 - 72*T1^9*T2^7 + 
     27*T1^10*T2^7 - 154*T1^11*T2^7 - 7*T1^12*T2^7 + 55*T1^13*T2^7 - 
     32*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 24*T1*T2^8 + 14*T1^2*T2^8 - 
     126*T1^3*T2^8 + 239*T1^4*T2^8 - 44*T1^5*T2^8 + 62*T1^6*T2^8 + 
     8*T1^7*T2^8 + 12*T1^8*T2^8 + 8*T1^9*T2^8 + 62*T1^10*T2^8 - 
     44*T1^11*T2^8 + 239*T1^12*T2^8 - 126*T1^13*T2^8 + 14*T1^14*T2^8 + 
     24*T1^15*T2^8 + 2*T1^16*T2^8 - 8*T1*T2^9 - 32*T1^2*T2^9 + 55*T1^3*T2^9 - 
     7*T1^4*T2^9 - 154*T1^5*T2^9 + 27*T1^6*T2^9 - 72*T1^7*T2^9 + 
     8*T1^8*T2^9 + 8*T1^9*T2^9 - 72*T1^10*T2^9 + 27*T1^11*T2^9 - 
     154*T1^12*T2^9 - 7*T1^13*T2^9 + 55*T1^14*T2^9 - 32*T1^15*T2^9 - 
     8*T1^16*T2^9 + 16*T1^2*T2^10 + 8*T1^3*T2^10 - 30*T1^4*T2^10 + 
     14*T1^5*T2^10 + 115*T1^6*T2^10 + 27*T1^7*T2^10 + 62*T1^8*T2^10 - 
     72*T1^9*T2^10 + 62*T1^10*T2^10 + 27*T1^11*T2^10 + 115*T1^12*T2^10 + 
     14*T1^13*T2^10 - 30*T1^14*T2^10 + 8*T1^15*T2^10 + 16*T1^16*T2^10 - 
     18*T1^3*T2^11 + 16*T1^5*T2^11 + 14*T1^6*T2^11 - 154*T1^7*T2^11 - 
     44*T1^8*T2^11 + 27*T1^9*T2^11 + 27*T1^10*T2^11 - 44*T1^11*T2^11 - 
     154*T1^12*T2^11 + 14*T1^13*T2^11 + 16*T1^14*T2^11 - 18*T1^16*T2^11 + 
     18*T1^4*T2^12 - 30*T1^6*T2^12 - 7*T1^7*T2^12 + 239*T1^8*T2^12 - 
     154*T1^9*T2^12 + 115*T1^10*T2^12 - 154*T1^11*T2^12 + 239*T1^12*T2^12 - 
     7*T1^13*T2^12 - 30*T1^14*T2^12 + 18*T1^16*T2^12 - 18*T1^5*T2^13 + 
     8*T1^6*T2^13 + 55*T1^7*T2^13 - 126*T1^8*T2^13 - 7*T1^9*T2^13 + 
     14*T1^10*T2^13 + 14*T1^11*T2^13 - 7*T1^12*T2^13 - 126*T1^13*T2^13 + 
     55*T1^14*T2^13 + 8*T1^15*T2^13 - 18*T1^16*T2^13 + 16*T1^6*T2^14 - 
     32*T1^7*T2^14 + 14*T1^8*T2^14 + 55*T1^9*T2^14 - 30*T1^10*T2^14 + 
     16*T1^11*T2^14 - 30*T1^12*T2^14 + 55*T1^13*T2^14 + 14*T1^14*T2^14 - 
     32*T1^15*T2^14 + 16*T1^16*T2^14 - 8*T1^7*T2^15 + 24*T1^8*T2^15 - 
     32*T1^9*T2^15 + 8*T1^10*T2^15 + 8*T1^13*T2^15 - 32*T1^14*T2^15 + 
     24*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)/(T1^8*T2^8)}, 
 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)/(T1^3*T2^3)}, Knot[11, NonAlternating, 43] -> 
  {-((2 - 10*T + 20*T^2 - 25*T^3 + 20*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((17 - 84*T1 + 166*T1^2 - 207*T1^3 + 166*T1^4 - 84*T1^5 + 17*T1^6 - 
      84*T2 + 332*T1*T2 - 405*T1^2*T2 + 203*T1^3*T2 + 203*T1^4*T2 - 
      405*T1^5*T2 + 332*T1^6*T2 - 84*T1^7*T2 + 166*T2^2 - 405*T1*T2^2 - 
      281*T1^2*T2^2 + 1255*T1^3*T2^2 - 1875*T1^4*T2^2 + 1255*T1^5*T2^2 - 
      281*T1^6*T2^2 - 405*T1^7*T2^2 + 166*T1^8*T2^2 - 207*T2^3 + 
      203*T1*T2^3 + 1255*T1^2*T2^3 - 1758*T1^3*T2^3 + 1049*T1^4*T2^3 + 
      1049*T1^5*T2^3 - 1758*T1^6*T2^3 + 1255*T1^7*T2^3 + 203*T1^8*T2^3 - 
      207*T1^9*T2^3 + 166*T2^4 + 203*T1*T2^4 - 1875*T1^2*T2^4 + 
      1049*T1^3*T2^4 + 386*T1^4*T2^4 - 1902*T1^5*T2^4 + 386*T1^6*T2^4 + 
      1049*T1^7*T2^4 - 1875*T1^8*T2^4 + 203*T1^9*T2^4 + 166*T1^10*T2^4 - 
      84*T2^5 - 405*T1*T2^5 + 1255*T1^2*T2^5 + 1049*T1^3*T2^5 - 
      1902*T1^4*T2^5 + 1546*T1^5*T2^5 + 1546*T1^6*T2^5 - 1902*T1^7*T2^5 + 
      1049*T1^8*T2^5 + 1255*T1^9*T2^5 - 405*T1^10*T2^5 - 84*T1^11*T2^5 + 
      17*T2^6 + 332*T1*T2^6 - 281*T1^2*T2^6 - 1758*T1^3*T2^6 + 
      386*T1^4*T2^6 + 1546*T1^5*T2^6 - 3756*T1^6*T2^6 + 1546*T1^7*T2^6 + 
      386*T1^8*T2^6 - 1758*T1^9*T2^6 - 281*T1^10*T2^6 + 332*T1^11*T2^6 + 
      17*T1^12*T2^6 - 84*T1*T2^7 - 405*T1^2*T2^7 + 1255*T1^3*T2^7 + 
      1049*T1^4*T2^7 - 1902*T1^5*T2^7 + 1546*T1^6*T2^7 + 1546*T1^7*T2^7 - 
      1902*T1^8*T2^7 + 1049*T1^9*T2^7 + 1255*T1^10*T2^7 - 405*T1^11*T2^7 - 
      84*T1^12*T2^7 + 166*T1^2*T2^8 + 203*T1^3*T2^8 - 1875*T1^4*T2^8 + 
      1049*T1^5*T2^8 + 386*T1^6*T2^8 - 1902*T1^7*T2^8 + 386*T1^8*T2^8 + 
      1049*T1^9*T2^8 - 1875*T1^10*T2^8 + 203*T1^11*T2^8 + 166*T1^12*T2^8 - 
      207*T1^3*T2^9 + 203*T1^4*T2^9 + 1255*T1^5*T2^9 - 1758*T1^6*T2^9 + 
      1049*T1^7*T2^9 + 1049*T1^8*T2^9 - 1758*T1^9*T2^9 + 1255*T1^10*T2^9 + 
      203*T1^11*T2^9 - 207*T1^12*T2^9 + 166*T1^4*T2^10 - 405*T1^5*T2^10 - 
      281*T1^6*T2^10 + 1255*T1^7*T2^10 - 1875*T1^8*T2^10 + 1255*T1^9*T2^10 - 
      281*T1^10*T2^10 - 405*T1^11*T2^10 + 166*T1^12*T2^10 - 84*T1^5*T2^11 + 
      332*T1^6*T2^11 - 405*T1^7*T2^11 + 203*T1^8*T2^11 + 203*T1^9*T2^11 - 
      405*T1^10*T2^11 + 332*T1^11*T2^11 - 84*T1^12*T2^11 + 17*T1^6*T2^12 - 
      84*T1^7*T2^12 + 166*T1^8*T2^12 - 207*T1^9*T2^12 + 166*T1^10*T2^12 - 
      84*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), 
   -((1 - 4*T1 + 8*T1^2 - 13*T1^3 + 15*T1^4 - 13*T1^5 + 8*T1^6 - 4*T1^7 + 
      T1^8 - 4*T2 + 12*T1*T2 - 16*T1^2*T2 + 20*T1^3*T2 - 8*T1^4*T2 - 
      8*T1^5*T2 + 20*T1^6*T2 - 16*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 8*T2^2 - 
      16*T1*T2^2 + 8*T1^2*T2^2 - 7*T1^3*T2^2 - 30*T1^4*T2^2 + 42*T1^5*T2^2 - 
      30*T1^6*T2^2 - 7*T1^7*T2^2 + 8*T1^8*T2^2 - 16*T1^9*T2^2 + 
      8*T1^10*T2^2 - 13*T2^3 + 20*T1*T2^3 - 7*T1^2*T2^3 + 20*T1^3*T2^3 + 
      41*T1^4*T2^3 - 18*T1^5*T2^3 - 18*T1^6*T2^3 + 41*T1^7*T2^3 + 
      20*T1^8*T2^3 - 7*T1^9*T2^3 + 20*T1^10*T2^3 - 13*T1^11*T2^3 + 15*T2^4 - 
      8*T1*T2^4 - 30*T1^2*T2^4 + 41*T1^3*T2^4 - 165*T1^4*T2^4 + 
      100*T1^5*T2^4 - 73*T1^6*T2^4 + 100*T1^7*T2^4 - 165*T1^8*T2^4 + 
      41*T1^9*T2^4 - 30*T1^10*T2^4 - 8*T1^11*T2^4 + 15*T1^12*T2^4 - 13*T2^5 - 
      8*T1*T2^5 + 42*T1^2*T2^5 - 18*T1^3*T2^5 + 100*T1^4*T2^5 + 
      66*T1^5*T2^5 - 46*T1^6*T2^5 - 46*T1^7*T2^5 + 66*T1^8*T2^5 + 
      100*T1^9*T2^5 - 18*T1^10*T2^5 + 42*T1^11*T2^5 - 8*T1^12*T2^5 - 
      13*T1^13*T2^5 + 8*T2^6 + 20*T1*T2^6 - 30*T1^2*T2^6 - 18*T1^3*T2^6 - 
      73*T1^4*T2^6 - 46*T1^5*T2^6 - 119*T1^6*T2^6 + 215*T1^7*T2^6 - 
      119*T1^8*T2^6 - 46*T1^9*T2^6 - 73*T1^10*T2^6 - 18*T1^11*T2^6 - 
      30*T1^12*T2^6 + 20*T1^13*T2^6 + 8*T1^14*T2^6 - 4*T2^7 - 16*T1*T2^7 - 
      7*T1^2*T2^7 + 41*T1^3*T2^7 + 100*T1^4*T2^7 - 46*T1^5*T2^7 + 
      215*T1^6*T2^7 - 118*T1^7*T2^7 - 118*T1^8*T2^7 + 215*T1^9*T2^7 - 
      46*T1^10*T2^7 + 100*T1^11*T2^7 + 41*T1^12*T2^7 - 7*T1^13*T2^7 - 
      16*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 8*T1^2*T2^8 + 
      20*T1^3*T2^8 - 165*T1^4*T2^8 + 66*T1^5*T2^8 - 119*T1^6*T2^8 - 
      118*T1^7*T2^8 + 252*T1^8*T2^8 - 118*T1^9*T2^8 - 119*T1^10*T2^8 + 
      66*T1^11*T2^8 - 165*T1^12*T2^8 + 20*T1^13*T2^8 + 8*T1^14*T2^8 + 
      12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 16*T1^2*T2^9 - 7*T1^3*T2^9 + 
      41*T1^4*T2^9 + 100*T1^5*T2^9 - 46*T1^6*T2^9 + 215*T1^7*T2^9 - 
      118*T1^8*T2^9 - 118*T1^9*T2^9 + 215*T1^10*T2^9 - 46*T1^11*T2^9 + 
      100*T1^12*T2^9 + 41*T1^13*T2^9 - 7*T1^14*T2^9 - 16*T1^15*T2^9 - 
      4*T1^16*T2^9 + 8*T1^2*T2^10 + 20*T1^3*T2^10 - 30*T1^4*T2^10 - 
      18*T1^5*T2^10 - 73*T1^6*T2^10 - 46*T1^7*T2^10 - 119*T1^8*T2^10 + 
      215*T1^9*T2^10 - 119*T1^10*T2^10 - 46*T1^11*T2^10 - 73*T1^12*T2^10 - 
      18*T1^13*T2^10 - 30*T1^14*T2^10 + 20*T1^15*T2^10 + 8*T1^16*T2^10 - 
      13*T1^3*T2^11 - 8*T1^4*T2^11 + 42*T1^5*T2^11 - 18*T1^6*T2^11 + 
      100*T1^7*T2^11 + 66*T1^8*T2^11 - 46*T1^9*T2^11 - 46*T1^10*T2^11 + 
      66*T1^11*T2^11 + 100*T1^12*T2^11 - 18*T1^13*T2^11 + 42*T1^14*T2^11 - 
      8*T1^15*T2^11 - 13*T1^16*T2^11 + 15*T1^4*T2^12 - 8*T1^5*T2^12 - 
      30*T1^6*T2^12 + 41*T1^7*T2^12 - 165*T1^8*T2^12 + 100*T1^9*T2^12 - 
      73*T1^10*T2^12 + 100*T1^11*T2^12 - 165*T1^12*T2^12 + 41*T1^13*T2^12 - 
      30*T1^14*T2^12 - 8*T1^15*T2^12 + 15*T1^16*T2^12 - 13*T1^5*T2^13 + 
      20*T1^6*T2^13 - 7*T1^7*T2^13 + 20*T1^8*T2^13 + 41*T1^9*T2^13 - 
      18*T1^10*T2^13 - 18*T1^11*T2^13 + 41*T1^12*T2^13 + 20*T1^13*T2^13 - 
      7*T1^14*T2^13 + 20*T1^15*T2^13 - 13*T1^16*T2^13 + 8*T1^6*T2^14 - 
      16*T1^7*T2^14 + 8*T1^8*T2^14 - 7*T1^9*T2^14 - 30*T1^10*T2^14 + 
      42*T1^11*T2^14 - 30*T1^12*T2^14 - 7*T1^13*T2^14 + 8*T1^14*T2^14 - 
      16*T1^15*T2^14 + 8*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 
      16*T1^9*T2^15 + 20*T1^10*T2^15 - 8*T1^11*T2^15 - 8*T1^12*T2^15 + 
      20*T1^13*T2^15 - 16*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + 
      T1^8*T2^16 - 4*T1^9*T2^16 + 8*T1^10*T2^16 - 13*T1^11*T2^16 + 
      15*T1^12*T2^16 - 13*T1^13*T2^16 + 8*T1^14*T2^16 - 4*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, 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 - 5*T1^2*T2^2 + 7*T1^3*T2^2 - 13*T1^4*T2^2 + 
      7*T1^5*T2^2 - 5*T1^6*T2^2 + 2*T1^7*T2^2 + T1^8*T2^2 - 2*T2^3 + 
      7*T1^2*T2^3 - 4*T1^3*T2^3 + 10*T1^4*T2^3 + 10*T1^5*T2^3 - 4*T1^6*T2^3 + 
      7*T1^7*T2^3 - 2*T1^9*T2^3 + T2^4 - 13*T1^2*T2^4 + 10*T1^3*T2^4 - 
      55*T1^4*T2^4 + 45*T1^5*T2^4 - 55*T1^6*T2^4 + 10*T1^7*T2^4 - 
      13*T1^8*T2^4 + T1^10*T2^4 + 2*T1*T2^5 + 7*T1^2*T2^5 + 10*T1^3*T2^5 + 
      45*T1^4*T2^5 + 45*T1^7*T2^5 + 10*T1^8*T2^5 + 7*T1^9*T2^5 + 
      2*T1^10*T2^5 - 2*T1*T2^6 - 5*T1^2*T2^6 - 4*T1^3*T2^6 - 55*T1^4*T2^6 - 
      24*T1^6*T2^6 - 55*T1^8*T2^6 - 4*T1^9*T2^6 - 5*T1^10*T2^6 - 
      2*T1^11*T2^6 + 2*T1^2*T2^7 + 7*T1^3*T2^7 + 10*T1^4*T2^7 + 
      45*T1^5*T2^7 + 45*T1^8*T2^7 + 10*T1^9*T2^7 + 7*T1^10*T2^7 + 
      2*T1^11*T2^7 + T1^2*T2^8 - 13*T1^4*T2^8 + 10*T1^5*T2^8 - 55*T1^6*T2^8 + 
      45*T1^7*T2^8 - 55*T1^8*T2^8 + 10*T1^9*T2^8 - 13*T1^10*T2^8 + 
      T1^12*T2^8 - 2*T1^3*T2^9 + 7*T1^5*T2^9 - 4*T1^6*T2^9 + 10*T1^7*T2^9 + 
      10*T1^8*T2^9 - 4*T1^9*T2^9 + 7*T1^10*T2^9 - 2*T1^12*T2^9 + T1^4*T2^10 + 
      2*T1^5*T2^10 - 5*T1^6*T2^10 + 7*T1^7*T2^10 - 13*T1^8*T2^10 + 
      7*T1^9*T2^10 - 5*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)/(T1^6*T2^6))}, 
 Knot[11, NonAlternating, 46] -> 
  {(2 - 8*T + 18*T^2 - 23*T^3 + 18*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (9 - 36*T1 + 81*T1^2 - 103*T1^3 + 81*T1^4 - 36*T1^5 + 9*T1^6 - 36*T2 + 
     108*T1*T2 - 181*T1^2*T2 + 89*T1^3*T2 + 89*T1^4*T2 - 181*T1^5*T2 + 
     108*T1^6*T2 - 36*T1^7*T2 + 81*T2^2 - 181*T1*T2^2 + 272*T1^2*T2^2 - 
     46*T1^3*T2^2 - 74*T1^4*T2^2 - 46*T1^5*T2^2 + 272*T1^6*T2^2 - 
     181*T1^7*T2^2 + 81*T1^8*T2^2 - 103*T2^3 + 89*T1*T2^3 - 46*T1^2*T2^3 - 
     404*T1^3*T2^3 + 204*T1^4*T2^3 + 204*T1^5*T2^3 - 404*T1^6*T2^3 - 
     46*T1^7*T2^3 + 89*T1^8*T2^3 - 103*T1^9*T2^3 + 81*T2^4 + 89*T1*T2^4 - 
     74*T1^2*T2^4 + 204*T1^3*T2^4 + 935*T1^4*T2^4 - 1391*T1^5*T2^4 + 
     935*T1^6*T2^4 + 204*T1^7*T2^4 - 74*T1^8*T2^4 + 89*T1^9*T2^4 + 
     81*T1^10*T2^4 - 36*T2^5 - 181*T1*T2^5 - 46*T1^2*T2^5 + 204*T1^3*T2^5 - 
     1391*T1^4*T2^5 + 624*T1^5*T2^5 + 624*T1^6*T2^5 - 1391*T1^7*T2^5 + 
     204*T1^8*T2^5 - 46*T1^9*T2^5 - 181*T1^10*T2^5 - 36*T1^11*T2^5 + 9*T2^6 + 
     108*T1*T2^6 + 272*T1^2*T2^6 - 404*T1^3*T2^6 + 935*T1^4*T2^6 + 
     624*T1^5*T2^6 - 1188*T1^6*T2^6 + 624*T1^7*T2^6 + 935*T1^8*T2^6 - 
     404*T1^9*T2^6 + 272*T1^10*T2^6 + 108*T1^11*T2^6 + 9*T1^12*T2^6 - 
     36*T1*T2^7 - 181*T1^2*T2^7 - 46*T1^3*T2^7 + 204*T1^4*T2^7 - 
     1391*T1^5*T2^7 + 624*T1^6*T2^7 + 624*T1^7*T2^7 - 1391*T1^8*T2^7 + 
     204*T1^9*T2^7 - 46*T1^10*T2^7 - 181*T1^11*T2^7 - 36*T1^12*T2^7 + 
     81*T1^2*T2^8 + 89*T1^3*T2^8 - 74*T1^4*T2^8 + 204*T1^5*T2^8 + 
     935*T1^6*T2^8 - 1391*T1^7*T2^8 + 935*T1^8*T2^8 + 204*T1^9*T2^8 - 
     74*T1^10*T2^8 + 89*T1^11*T2^8 + 81*T1^12*T2^8 - 103*T1^3*T2^9 + 
     89*T1^4*T2^9 - 46*T1^5*T2^9 - 404*T1^6*T2^9 + 204*T1^7*T2^9 + 
     204*T1^8*T2^9 - 404*T1^9*T2^9 - 46*T1^10*T2^9 + 89*T1^11*T2^9 - 
     103*T1^12*T2^9 + 81*T1^4*T2^10 - 181*T1^5*T2^10 + 272*T1^6*T2^10 - 
     46*T1^7*T2^10 - 74*T1^8*T2^10 - 46*T1^9*T2^10 + 272*T1^10*T2^10 - 
     181*T1^11*T2^10 + 81*T1^12*T2^10 - 36*T1^5*T2^11 + 108*T1^6*T2^11 - 
     181*T1^7*T2^11 + 89*T1^8*T2^11 + 89*T1^9*T2^11 - 181*T1^10*T2^11 + 
     108*T1^11*T2^11 - 36*T1^12*T2^11 + 9*T1^6*T2^12 - 36*T1^7*T2^12 + 
     81*T1^8*T2^12 - 103*T1^9*T2^12 + 81*T1^10*T2^12 - 36*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   (2 - 8*T1 + 16*T1^2 - 18*T1^3 + 18*T1^4 - 18*T1^5 + 16*T1^6 - 8*T1^7 + 
     2*T1^8 - 8*T2 + 24*T1*T2 - 32*T1^2*T2 + 8*T1^3*T2 + 8*T1^6*T2 - 
     32*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 16*T2^2 - 32*T1*T2^2 + 
     14*T1^2*T2^2 + 55*T1^3*T2^2 - 31*T1^4*T2^2 + 18*T1^5*T2^2 - 
     31*T1^6*T2^2 + 55*T1^7*T2^2 + 14*T1^8*T2^2 - 32*T1^9*T2^2 + 
     16*T1^10*T2^2 - 18*T2^3 + 8*T1*T2^3 + 55*T1^2*T2^3 - 124*T1^3*T2^3 - 
     9*T1^4*T2^3 + 14*T1^5*T2^3 + 14*T1^6*T2^3 - 9*T1^7*T2^3 - 
     124*T1^8*T2^3 + 55*T1^9*T2^3 + 8*T1^10*T2^3 - 18*T1^11*T2^3 + 18*T2^4 - 
     31*T1^2*T2^4 - 9*T1^3*T2^4 + 241*T1^4*T2^4 - 154*T1^5*T2^4 + 
     117*T1^6*T2^4 - 154*T1^7*T2^4 + 241*T1^8*T2^4 - 9*T1^9*T2^4 - 
     31*T1^10*T2^4 + 18*T1^12*T2^4 - 18*T2^5 + 18*T1^2*T2^5 + 14*T1^3*T2^5 - 
     154*T1^4*T2^5 - 44*T1^5*T2^5 + 25*T1^6*T2^5 + 25*T1^7*T2^5 - 
     44*T1^8*T2^5 - 154*T1^9*T2^5 + 14*T1^10*T2^5 + 18*T1^11*T2^5 - 
     18*T1^13*T2^5 + 16*T2^6 + 8*T1*T2^6 - 31*T1^2*T2^6 + 14*T1^3*T2^6 + 
     117*T1^4*T2^6 + 25*T1^5*T2^6 + 62*T1^6*T2^6 - 70*T1^7*T2^6 + 
     62*T1^8*T2^6 + 25*T1^9*T2^6 + 117*T1^10*T2^6 + 14*T1^11*T2^6 - 
     31*T1^12*T2^6 + 8*T1^13*T2^6 + 16*T1^14*T2^6 - 8*T2^7 - 32*T1*T2^7 + 
     55*T1^2*T2^7 - 9*T1^3*T2^7 - 154*T1^4*T2^7 + 25*T1^5*T2^7 - 
     70*T1^6*T2^7 + 10*T1^7*T2^7 + 10*T1^8*T2^7 - 70*T1^9*T2^7 + 
     25*T1^10*T2^7 - 154*T1^11*T2^7 - 9*T1^12*T2^7 + 55*T1^13*T2^7 - 
     32*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 24*T1*T2^8 + 14*T1^2*T2^8 - 
     124*T1^3*T2^8 + 241*T1^4*T2^8 - 44*T1^5*T2^8 + 62*T1^6*T2^8 + 
     10*T1^7*T2^8 + 10*T1^9*T2^8 + 62*T1^10*T2^8 - 44*T1^11*T2^8 + 
     241*T1^12*T2^8 - 124*T1^13*T2^8 + 14*T1^14*T2^8 + 24*T1^15*T2^8 + 
     2*T1^16*T2^8 - 8*T1*T2^9 - 32*T1^2*T2^9 + 55*T1^3*T2^9 - 9*T1^4*T2^9 - 
     154*T1^5*T2^9 + 25*T1^6*T2^9 - 70*T1^7*T2^9 + 10*T1^8*T2^9 + 
     10*T1^9*T2^9 - 70*T1^10*T2^9 + 25*T1^11*T2^9 - 154*T1^12*T2^9 - 
     9*T1^13*T2^9 + 55*T1^14*T2^9 - 32*T1^15*T2^9 - 8*T1^16*T2^9 + 
     16*T1^2*T2^10 + 8*T1^3*T2^10 - 31*T1^4*T2^10 + 14*T1^5*T2^10 + 
     117*T1^6*T2^10 + 25*T1^7*T2^10 + 62*T1^8*T2^10 - 70*T1^9*T2^10 + 
     62*T1^10*T2^10 + 25*T1^11*T2^10 + 117*T1^12*T2^10 + 14*T1^13*T2^10 - 
     31*T1^14*T2^10 + 8*T1^15*T2^10 + 16*T1^16*T2^10 - 18*T1^3*T2^11 + 
     18*T1^5*T2^11 + 14*T1^6*T2^11 - 154*T1^7*T2^11 - 44*T1^8*T2^11 + 
     25*T1^9*T2^11 + 25*T1^10*T2^11 - 44*T1^11*T2^11 - 154*T1^12*T2^11 + 
     14*T1^13*T2^11 + 18*T1^14*T2^11 - 18*T1^16*T2^11 + 18*T1^4*T2^12 - 
     31*T1^6*T2^12 - 9*T1^7*T2^12 + 241*T1^8*T2^12 - 154*T1^9*T2^12 + 
     117*T1^10*T2^12 - 154*T1^11*T2^12 + 241*T1^12*T2^12 - 9*T1^13*T2^12 - 
     31*T1^14*T2^12 + 18*T1^16*T2^12 - 18*T1^5*T2^13 + 8*T1^6*T2^13 + 
     55*T1^7*T2^13 - 124*T1^8*T2^13 - 9*T1^9*T2^13 + 14*T1^10*T2^13 + 
     14*T1^11*T2^13 - 9*T1^12*T2^13 - 124*T1^13*T2^13 + 55*T1^14*T2^13 + 
     8*T1^15*T2^13 - 18*T1^16*T2^13 + 16*T1^6*T2^14 - 32*T1^7*T2^14 + 
     14*T1^8*T2^14 + 55*T1^9*T2^14 - 31*T1^10*T2^14 + 18*T1^11*T2^14 - 
     31*T1^12*T2^14 + 55*T1^13*T2^14 + 14*T1^14*T2^14 - 32*T1^15*T2^14 + 
     16*T1^16*T2^14 - 8*T1^7*T2^15 + 24*T1^8*T2^15 - 32*T1^9*T2^15 + 
     8*T1^10*T2^15 + 8*T1^13*T2^15 - 32*T1^14*T2^15 + 24*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)/(T1^8*T2^8)}, 
 Knot[11, NonAlternating, 48] -> 
  {-((1 - 3*T + 6*T^2 - 9*T^3 + 6*T^4 - 3*T^5 + T^6)/T^3), 
   (5 - 16*T1 + 19*T1^2 - 16*T1^3 + 5*T1^4 - 16*T2 + 34*T1*T2 - 8*T1^2*T2 - 
     8*T1^3*T2 + 34*T1^4*T2 - 16*T1^5*T2 + 19*T2^2 - 8*T1*T2^2 - 
     64*T1^2*T2^2 + 50*T1^3*T2^2 - 64*T1^4*T2^2 - 8*T1^5*T2^2 + 
     19*T1^6*T2^2 - 16*T2^3 - 8*T1*T2^3 + 50*T1^2*T2^3 + 22*T1^3*T2^3 + 
     22*T1^4*T2^3 + 50*T1^5*T2^3 - 8*T1^6*T2^3 - 16*T1^7*T2^3 + 5*T2^4 + 
     34*T1*T2^4 - 64*T1^2*T2^4 + 22*T1^3*T2^4 - 108*T1^4*T2^4 + 
     22*T1^5*T2^4 - 64*T1^6*T2^4 + 34*T1^7*T2^4 + 5*T1^8*T2^4 - 16*T1*T2^5 - 
     8*T1^2*T2^5 + 50*T1^3*T2^5 + 22*T1^4*T2^5 + 22*T1^5*T2^5 + 
     50*T1^6*T2^5 - 8*T1^7*T2^5 - 16*T1^8*T2^5 + 19*T1^2*T2^6 - 8*T1^3*T2^6 - 
     64*T1^4*T2^6 + 50*T1^5*T2^6 - 64*T1^6*T2^6 - 8*T1^7*T2^6 + 
     19*T1^8*T2^6 - 16*T1^3*T2^7 + 34*T1^4*T2^7 - 8*T1^5*T2^7 - 8*T1^6*T2^7 + 
     34*T1^7*T2^7 - 16*T1^8*T2^7 + 5*T1^4*T2^8 - 16*T1^5*T2^8 + 
     19*T1^6*T2^8 - 16*T1^7*T2^8 + 5*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[11, NonAlternating, 49] -> {-(((-1 - T + T^2)*(-1 + T + T^2))/T^2), 
   -((1 - 3*T1^2 + T1^4 - 6*T1*T2 + 8*T1^2*T2 + 8*T1^3*T2 - 6*T1^4*T2 - 
      3*T2^2 + 8*T1*T2^2 + 3*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 + 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 + 
      3*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 + 3*T1^4*T2^6 - 21*T1^5*T2^6 + 3*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)/(T1^4*T2^4))}, 
 Knot[11, NonAlternating, 50] -> {((2 - 2*T + T^2)*(1 - 2*T + 2*T^2))/T^2, 
   (-3*(1 - 3*T1 + 5*T1^2 - 3*T1^3 + T1^4 - 3*T2 + 6*T1*T2 - 6*T1^2*T2 - 
      6*T1^3*T2 + 6*T1^4*T2 - 3*T1^5*T2 + 5*T2^2 - 6*T1*T2^2 + 9*T1^2*T2^2 + 
      5*T1^3*T2^2 + 9*T1^4*T2^2 - 6*T1^5*T2^2 + 5*T1^6*T2^2 - 3*T2^3 - 
      6*T1*T2^3 + 5*T1^2*T2^3 - 18*T1^3*T2^3 - 18*T1^4*T2^3 + 5*T1^5*T2^3 - 
      6*T1^6*T2^3 - 3*T1^7*T2^3 + T2^4 + 6*T1*T2^4 + 9*T1^2*T2^4 - 
      18*T1^3*T2^4 + 60*T1^4*T2^4 - 18*T1^5*T2^4 + 9*T1^6*T2^4 + 
      6*T1^7*T2^4 + T1^8*T2^4 - 3*T1*T2^5 - 6*T1^2*T2^5 + 5*T1^3*T2^5 - 
      18*T1^4*T2^5 - 18*T1^5*T2^5 + 5*T1^6*T2^5 - 6*T1^7*T2^5 - 3*T1^8*T2^5 + 
      5*T1^2*T2^6 - 6*T1^3*T2^6 + 9*T1^4*T2^6 + 5*T1^5*T2^6 + 9*T1^6*T2^6 - 
      6*T1^7*T2^6 + 5*T1^8*T2^6 - 3*T1^3*T2^7 + 6*T1^4*T2^7 - 6*T1^5*T2^7 - 
      6*T1^6*T2^7 + 6*T1^7*T2^7 - 3*T1^8*T2^7 + T1^4*T2^8 - 3*T1^5*T2^8 + 
      5*T1^6*T2^8 - 3*T1^7*T2^8 + T1^8*T2^8))/(T1^4*T2^4)}, 
 Knot[11, NonAlternating, 51] -> 
  {-((1 - 4*T + 6*T^2 - 7*T^3 + 6*T^4 - 4*T^5 + T^6)/T^3), 
   (4*T1 - 6*T1^2 + 4*T1^3 + 4*T2 - 26*T1*T2 + 12*T1^2*T2 + 12*T1^3*T2 - 
     26*T1^4*T2 + 4*T1^5*T2 - 6*T2^2 + 12*T1*T2^2 + 105*T1^2*T2^2 - 
     145*T1^3*T2^2 + 105*T1^4*T2^2 + 12*T1^5*T2^2 - 6*T1^6*T2^2 + 4*T2^3 + 
     12*T1*T2^3 - 145*T1^2*T2^3 + 52*T1^3*T2^3 + 52*T1^4*T2^3 - 
     145*T1^5*T2^3 + 12*T1^6*T2^3 + 4*T1^7*T2^3 - 26*T1*T2^4 + 
     105*T1^2*T2^4 + 52*T1^3*T2^4 - 72*T1^4*T2^4 + 52*T1^5*T2^4 + 
     105*T1^6*T2^4 - 26*T1^7*T2^4 + 4*T1*T2^5 + 12*T1^2*T2^5 - 
     145*T1^3*T2^5 + 52*T1^4*T2^5 + 52*T1^5*T2^5 - 145*T1^6*T2^5 + 
     12*T1^7*T2^5 + 4*T1^8*T2^5 - 6*T1^2*T2^6 + 12*T1^3*T2^6 + 
     105*T1^4*T2^6 - 145*T1^5*T2^6 + 105*T1^6*T2^6 + 12*T1^7*T2^6 - 
     6*T1^8*T2^6 + 4*T1^3*T2^7 - 26*T1^4*T2^7 + 12*T1^5*T2^7 + 12*T1^6*T2^7 - 
     26*T1^7*T2^7 + 4*T1^8*T2^7 + 4*T1^5*T2^8 - 6*T1^6*T2^8 + 4*T1^7*T2^8)/
    (T1^4*T2^4)}, Knot[11, NonAlternating, 52] -> 
  {(1 - 6*T + 14*T^2 - 17*T^3 + 14*T^4 - 6*T^5 + T^6)/T^3, 
   (1 - 6*T1 + 14*T1^2 - 17*T1^3 + 14*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     30*T1*T2 - 47*T1^2*T2 + 16*T1^3*T2 + 16*T1^4*T2 - 47*T1^5*T2 + 
     30*T1^6*T2 - 6*T1^7*T2 + 14*T2^2 - 47*T1*T2^2 - 15*T1^2*T2^2 + 
     197*T1^3*T2^2 - 221*T1^4*T2^2 + 197*T1^5*T2^2 - 15*T1^6*T2^2 - 
     47*T1^7*T2^2 + 14*T1^8*T2^2 - 17*T2^3 + 16*T1*T2^3 + 197*T1^2*T2^3 - 
     412*T1^3*T2^3 + 98*T1^4*T2^3 + 98*T1^5*T2^3 - 412*T1^6*T2^3 + 
     197*T1^7*T2^3 + 16*T1^8*T2^3 - 17*T1^9*T2^3 + 14*T2^4 + 16*T1*T2^4 - 
     221*T1^2*T2^4 + 98*T1^3*T2^4 + 659*T1^4*T2^4 - 657*T1^5*T2^4 + 
     659*T1^6*T2^4 + 98*T1^7*T2^4 - 221*T1^8*T2^4 + 16*T1^9*T2^4 + 
     14*T1^10*T2^4 - 6*T2^5 - 47*T1*T2^5 + 197*T1^2*T2^5 + 98*T1^3*T2^5 - 
     657*T1^4*T2^5 + 68*T1^5*T2^5 + 68*T1^6*T2^5 - 657*T1^7*T2^5 + 
     98*T1^8*T2^5 + 197*T1^9*T2^5 - 47*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     30*T1*T2^6 - 15*T1^2*T2^6 - 412*T1^3*T2^6 + 659*T1^4*T2^6 + 
     68*T1^5*T2^6 + 120*T1^6*T2^6 + 68*T1^7*T2^6 + 659*T1^8*T2^6 - 
     412*T1^9*T2^6 - 15*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
     47*T1^2*T2^7 + 197*T1^3*T2^7 + 98*T1^4*T2^7 - 657*T1^5*T2^7 + 
     68*T1^6*T2^7 + 68*T1^7*T2^7 - 657*T1^8*T2^7 + 98*T1^9*T2^7 + 
     197*T1^10*T2^7 - 47*T1^11*T2^7 - 6*T1^12*T2^7 + 14*T1^2*T2^8 + 
     16*T1^3*T2^8 - 221*T1^4*T2^8 + 98*T1^5*T2^8 + 659*T1^6*T2^8 - 
     657*T1^7*T2^8 + 659*T1^8*T2^8 + 98*T1^9*T2^8 - 221*T1^10*T2^8 + 
     16*T1^11*T2^8 + 14*T1^12*T2^8 - 17*T1^3*T2^9 + 16*T1^4*T2^9 + 
     197*T1^5*T2^9 - 412*T1^6*T2^9 + 98*T1^7*T2^9 + 98*T1^8*T2^9 - 
     412*T1^9*T2^9 + 197*T1^10*T2^9 + 16*T1^11*T2^9 - 17*T1^12*T2^9 + 
     14*T1^4*T2^10 - 47*T1^5*T2^10 - 15*T1^6*T2^10 + 197*T1^7*T2^10 - 
     221*T1^8*T2^10 + 197*T1^9*T2^10 - 15*T1^10*T2^10 - 47*T1^11*T2^10 + 
     14*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 47*T1^7*T2^11 + 
     16*T1^8*T2^11 + 16*T1^9*T2^11 - 47*T1^10*T2^11 + 30*T1^11*T2^11 - 
     6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 14*T1^8*T2^12 - 
     17*T1^9*T2^12 + 14*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, NonAlternating, 53] -> 
  {-((1 - 4*T + 8*T^2 - 11*T^3 + 8*T^4 - 4*T^5 + T^6)/T^3), 
   (6 - 21*T1 + 28*T1^2 - 21*T1^3 + 6*T1^4 - 21*T2 + 52*T1*T2 - 21*T1^2*T2 - 
     21*T1^3*T2 + 52*T1^4*T2 - 21*T1^5*T2 + 28*T2^2 - 21*T1*T2^2 - 
     106*T1^2*T2^2 + 130*T1^3*T2^2 - 106*T1^4*T2^2 - 21*T1^5*T2^2 + 
     28*T1^6*T2^2 - 21*T2^3 - 21*T1*T2^3 + 130*T1^2*T2^3 - 24*T1^3*T2^3 - 
     24*T1^4*T2^3 + 130*T1^5*T2^3 - 21*T1^6*T2^3 - 21*T1^7*T2^3 + 6*T2^4 + 
     52*T1*T2^4 - 106*T1^2*T2^4 - 24*T1^3*T2^4 - 12*T1^4*T2^4 - 
     24*T1^5*T2^4 - 106*T1^6*T2^4 + 52*T1^7*T2^4 + 6*T1^8*T2^4 - 21*T1*T2^5 - 
     21*T1^2*T2^5 + 130*T1^3*T2^5 - 24*T1^4*T2^5 - 24*T1^5*T2^5 + 
     130*T1^6*T2^5 - 21*T1^7*T2^5 - 21*T1^8*T2^5 + 28*T1^2*T2^6 - 
     21*T1^3*T2^6 - 106*T1^4*T2^6 + 130*T1^5*T2^6 - 106*T1^6*T2^6 - 
     21*T1^7*T2^6 + 28*T1^8*T2^6 - 21*T1^3*T2^7 + 52*T1^4*T2^7 - 
     21*T1^5*T2^7 - 21*T1^6*T2^7 + 52*T1^7*T2^7 - 21*T1^8*T2^7 + 
     6*T1^4*T2^8 - 21*T1^5*T2^8 + 28*T1^6*T2^8 - 21*T1^7*T2^8 + 6*T1^8*T2^8)/
    (T1^4*T2^4)}, Knot[11, NonAlternating, 54] -> 
  {(1 - 4*T + 10*T^2 - 13*T^3 + 10*T^4 - 4*T^5 + T^6)/T^3, 
   (1 - 4*T1 + 10*T1^2 - 13*T1^3 + 10*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 
     12*T1*T2 - 24*T1^2*T2 + 12*T1^3*T2 + 12*T1^4*T2 - 24*T1^5*T2 + 
     12*T1^6*T2 - 4*T1^7*T2 + 10*T2^2 - 24*T1*T2^2 + 58*T1^2*T2^2 - 
     41*T1^3*T2^2 + 36*T1^4*T2^2 - 41*T1^5*T2^2 + 58*T1^6*T2^2 - 
     24*T1^7*T2^2 + 10*T1^8*T2^2 - 13*T2^3 + 12*T1*T2^3 - 41*T1^2*T2^3 - 
     38*T1^3*T2^3 + 9*T1^4*T2^3 + 9*T1^5*T2^3 - 38*T1^6*T2^3 - 41*T1^7*T2^3 + 
     12*T1^8*T2^3 - 13*T1^9*T2^3 + 10*T2^4 + 12*T1*T2^4 + 36*T1^2*T2^4 + 
     9*T1^3*T2^4 + 251*T1^4*T2^4 - 307*T1^5*T2^4 + 251*T1^6*T2^4 + 
     9*T1^7*T2^4 + 36*T1^8*T2^4 + 12*T1^9*T2^4 + 10*T1^10*T2^4 - 4*T2^5 - 
     24*T1*T2^5 - 41*T1^2*T2^5 + 9*T1^3*T2^5 - 307*T1^4*T2^5 + 98*T1^5*T2^5 + 
     98*T1^6*T2^5 - 307*T1^7*T2^5 + 9*T1^8*T2^5 - 41*T1^9*T2^5 - 
     24*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 12*T1*T2^6 + 58*T1^2*T2^6 - 
     38*T1^3*T2^6 + 251*T1^4*T2^6 + 98*T1^5*T2^6 - 132*T1^6*T2^6 + 
     98*T1^7*T2^6 + 251*T1^8*T2^6 - 38*T1^9*T2^6 + 58*T1^10*T2^6 + 
     12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 24*T1^2*T2^7 - 41*T1^3*T2^7 + 
     9*T1^4*T2^7 - 307*T1^5*T2^7 + 98*T1^6*T2^7 + 98*T1^7*T2^7 - 
     307*T1^8*T2^7 + 9*T1^9*T2^7 - 41*T1^10*T2^7 - 24*T1^11*T2^7 - 
     4*T1^12*T2^7 + 10*T1^2*T2^8 + 12*T1^3*T2^8 + 36*T1^4*T2^8 + 
     9*T1^5*T2^8 + 251*T1^6*T2^8 - 307*T1^7*T2^8 + 251*T1^8*T2^8 + 
     9*T1^9*T2^8 + 36*T1^10*T2^8 + 12*T1^11*T2^8 + 10*T1^12*T2^8 - 
     13*T1^3*T2^9 + 12*T1^4*T2^9 - 41*T1^5*T2^9 - 38*T1^6*T2^9 + 
     9*T1^7*T2^9 + 9*T1^8*T2^9 - 38*T1^9*T2^9 - 41*T1^10*T2^9 + 
     12*T1^11*T2^9 - 13*T1^12*T2^9 + 10*T1^4*T2^10 - 24*T1^5*T2^10 + 
     58*T1^6*T2^10 - 41*T1^7*T2^10 + 36*T1^8*T2^10 - 41*T1^9*T2^10 + 
     58*T1^10*T2^10 - 24*T1^11*T2^10 + 10*T1^12*T2^10 - 4*T1^5*T2^11 + 
     12*T1^6*T2^11 - 24*T1^7*T2^11 + 12*T1^8*T2^11 + 12*T1^9*T2^11 - 
     24*T1^10*T2^11 + 12*T1^11*T2^11 - 4*T1^12*T2^11 + T1^6*T2^12 - 
     4*T1^7*T2^12 + 10*T1^8*T2^12 - 13*T1^9*T2^12 + 10*T1^10*T2^12 - 
     4*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, NonAlternating, 55] -> 
  {-((1 - 6*T + 14*T^2 - 19*T^3 + 14*T^4 - 6*T^5 + T^6)/T^3), 
   -((T1 + T1^4 + T2 - 9*T1*T2 + 8*T1^2*T2 - 17*T1^3*T2 + 8*T1^4*T2 - 
      9*T1^5*T2 + T1^6*T2 + 8*T1*T2^2 + 14*T1^2*T2^2 + 13*T1^3*T2^2 + 
      13*T1^4*T2^2 + 14*T1^5*T2^2 + 8*T1^6*T2^2 - 17*T1*T2^3 + 13*T1^2*T2^3 - 
      125*T1^3*T2^3 + 83*T1^4*T2^3 - 125*T1^5*T2^3 + 13*T1^6*T2^3 - 
      17*T1^7*T2^3 + T2^4 + 8*T1*T2^4 + 13*T1^2*T2^4 + 83*T1^3*T2^4 + 
      42*T1^4*T2^4 + 42*T1^5*T2^4 + 83*T1^6*T2^4 + 13*T1^7*T2^4 + 
      8*T1^8*T2^4 + T1^9*T2^4 - 9*T1*T2^5 + 14*T1^2*T2^5 - 125*T1^3*T2^5 + 
      42*T1^4*T2^5 - 192*T1^5*T2^5 + 42*T1^6*T2^5 - 125*T1^7*T2^5 + 
      14*T1^8*T2^5 - 9*T1^9*T2^5 + T1*T2^6 + 8*T1^2*T2^6 + 13*T1^3*T2^6 + 
      83*T1^4*T2^6 + 42*T1^5*T2^6 + 42*T1^6*T2^6 + 83*T1^7*T2^6 + 
      13*T1^8*T2^6 + 8*T1^9*T2^6 + T1^10*T2^6 - 17*T1^3*T2^7 + 13*T1^4*T2^7 - 
      125*T1^5*T2^7 + 83*T1^6*T2^7 - 125*T1^7*T2^7 + 13*T1^8*T2^7 - 
      17*T1^9*T2^7 + 8*T1^4*T2^8 + 14*T1^5*T2^8 + 13*T1^6*T2^8 + 
      13*T1^7*T2^8 + 14*T1^8*T2^8 + 8*T1^9*T2^8 + T1^4*T2^9 - 9*T1^5*T2^9 + 
      8*T1^6*T2^9 - 17*T1^7*T2^9 + 8*T1^8*T2^9 - 9*T1^9*T2^9 + T1^10*T2^9 + 
      T1^6*T2^10 + T1^9*T2^10)/(T1^5*T2^5))}, Knot[11, NonAlternating, 56] -> 
  {(1 - 4*T + 8*T^2 - 9*T^3 + 8*T^4 - 4*T^5 + T^6)/T^3, 
   (1 - 4*T1 + 8*T1^2 - 9*T1^3 + 8*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 12*T1*T2 - 
     16*T1^2*T2 + 4*T1^3*T2 + 4*T1^4*T2 - 16*T1^5*T2 + 12*T1^6*T2 - 
     4*T1^7*T2 + 8*T2^2 - 16*T1*T2^2 + 2*T1^2*T2^2 + 42*T1^3*T2^2 - 
     46*T1^4*T2^2 + 42*T1^5*T2^2 + 2*T1^6*T2^2 - 16*T1^7*T2^2 + 8*T1^8*T2^2 - 
     9*T2^3 + 4*T1*T2^3 + 42*T1^2*T2^3 - 92*T1^3*T2^3 + 32*T1^4*T2^3 + 
     32*T1^5*T2^3 - 92*T1^6*T2^3 + 42*T1^7*T2^3 + 4*T1^8*T2^3 - 9*T1^9*T2^3 + 
     8*T2^4 + 4*T1*T2^4 - 46*T1^2*T2^4 + 32*T1^3*T2^4 + 102*T1^4*T2^4 - 
     156*T1^5*T2^4 + 102*T1^6*T2^4 + 32*T1^7*T2^4 - 46*T1^8*T2^4 + 
     4*T1^9*T2^4 + 8*T1^10*T2^4 - 4*T2^5 - 16*T1*T2^5 + 42*T1^2*T2^5 + 
     32*T1^3*T2^5 - 156*T1^4*T2^5 + 94*T1^5*T2^5 + 94*T1^6*T2^5 - 
     156*T1^7*T2^5 + 32*T1^8*T2^5 + 42*T1^9*T2^5 - 16*T1^10*T2^5 - 
     4*T1^11*T2^5 + T2^6 + 12*T1*T2^6 + 2*T1^2*T2^6 - 92*T1^3*T2^6 + 
     102*T1^4*T2^6 + 94*T1^5*T2^6 - 240*T1^6*T2^6 + 94*T1^7*T2^6 + 
     102*T1^8*T2^6 - 92*T1^9*T2^6 + 2*T1^10*T2^6 + 12*T1^11*T2^6 + 
     T1^12*T2^6 - 4*T1*T2^7 - 16*T1^2*T2^7 + 42*T1^3*T2^7 + 32*T1^4*T2^7 - 
     156*T1^5*T2^7 + 94*T1^6*T2^7 + 94*T1^7*T2^7 - 156*T1^8*T2^7 + 
     32*T1^9*T2^7 + 42*T1^10*T2^7 - 16*T1^11*T2^7 - 4*T1^12*T2^7 + 
     8*T1^2*T2^8 + 4*T1^3*T2^8 - 46*T1^4*T2^8 + 32*T1^5*T2^8 + 
     102*T1^6*T2^8 - 156*T1^7*T2^8 + 102*T1^8*T2^8 + 32*T1^9*T2^8 - 
     46*T1^10*T2^8 + 4*T1^11*T2^8 + 8*T1^12*T2^8 - 9*T1^3*T2^9 + 
     4*T1^4*T2^9 + 42*T1^5*T2^9 - 92*T1^6*T2^9 + 32*T1^7*T2^9 + 
     32*T1^8*T2^9 - 92*T1^9*T2^9 + 42*T1^10*T2^9 + 4*T1^11*T2^9 - 
     9*T1^12*T2^9 + 8*T1^4*T2^10 - 16*T1^5*T2^10 + 2*T1^6*T2^10 + 
     42*T1^7*T2^10 - 46*T1^8*T2^10 + 42*T1^9*T2^10 + 2*T1^10*T2^10 - 
     16*T1^11*T2^10 + 8*T1^12*T2^10 - 4*T1^5*T2^11 + 12*T1^6*T2^11 - 
     16*T1^7*T2^11 + 4*T1^8*T2^11 + 4*T1^9*T2^11 - 16*T1^10*T2^11 + 
     12*T1^11*T2^11 - 4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 
     8*T1^8*T2^12 - 9*T1^9*T2^12 + 8*T1^10*T2^12 - 4*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, 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), 
   -((3 - 9*T1 + 6*T1^2 + 3*T1^3 - 9*T1^4 + 3*T1^5 + 6*T1^6 - 9*T1^7 + 
      3*T1^8 - 9*T2 + 18*T1*T2 + 9*T1^2*T2 - 27*T1^3*T2 + 18*T1^4*T2 + 
      18*T1^5*T2 - 27*T1^6*T2 + 9*T1^7*T2 + 18*T1^8*T2 - 9*T1^9*T2 + 6*T2^2 + 
      9*T1*T2^2 - 62*T1^2*T2^2 + 41*T1^3*T2^2 + 21*T1^4*T2^2 - 68*T1^5*T2^2 + 
      21*T1^6*T2^2 + 41*T1^7*T2^2 - 62*T1^8*T2^2 + 9*T1^9*T2^2 + 
      6*T1^10*T2^2 + 3*T2^3 - 27*T1*T2^3 + 41*T1^2*T2^3 + 22*T1^3*T2^3 - 
      65*T1^4*T2^3 + 41*T1^5*T2^3 + 41*T1^6*T2^3 - 65*T1^7*T2^3 + 
      22*T1^8*T2^3 + 41*T1^9*T2^3 - 27*T1^10*T2^3 + 3*T1^11*T2^3 - 9*T2^4 + 
      18*T1*T2^4 + 21*T1^2*T2^4 - 65*T1^3*T2^4 + 47*T1^4*T2^4 + 
      30*T1^5*T2^4 - 71*T1^6*T2^4 + 30*T1^7*T2^4 + 47*T1^8*T2^4 - 
      65*T1^9*T2^4 + 21*T1^10*T2^4 + 18*T1^11*T2^4 - 9*T1^12*T2^4 + 3*T2^5 + 
      18*T1*T2^5 - 68*T1^2*T2^5 + 41*T1^3*T2^5 + 30*T1^4*T2^5 - 
      90*T1^5*T2^5 + 42*T1^6*T2^5 + 42*T1^7*T2^5 - 90*T1^8*T2^5 + 
      30*T1^9*T2^5 + 41*T1^10*T2^5 - 68*T1^11*T2^5 + 18*T1^12*T2^5 + 
      3*T1^13*T2^5 + 6*T2^6 - 27*T1*T2^6 + 21*T1^2*T2^6 + 41*T1^3*T2^6 - 
      71*T1^4*T2^6 + 42*T1^5*T2^6 + 41*T1^6*T2^6 - 73*T1^7*T2^6 + 
      41*T1^8*T2^6 + 42*T1^9*T2^6 - 71*T1^10*T2^6 + 41*T1^11*T2^6 + 
      21*T1^12*T2^6 - 27*T1^13*T2^6 + 6*T1^14*T2^6 - 9*T2^7 + 9*T1*T2^7 + 
      41*T1^2*T2^7 - 65*T1^3*T2^7 + 30*T1^4*T2^7 + 42*T1^5*T2^7 - 
      73*T1^6*T2^7 + 32*T1^7*T2^7 + 32*T1^8*T2^7 - 73*T1^9*T2^7 + 
      42*T1^10*T2^7 + 30*T1^11*T2^7 - 65*T1^12*T2^7 + 41*T1^13*T2^7 + 
      9*T1^14*T2^7 - 9*T1^15*T2^7 + 3*T2^8 + 18*T1*T2^8 - 62*T1^2*T2^8 + 
      22*T1^3*T2^8 + 47*T1^4*T2^8 - 90*T1^5*T2^8 + 41*T1^6*T2^8 + 
      32*T1^7*T2^8 - 60*T1^8*T2^8 + 32*T1^9*T2^8 + 41*T1^10*T2^8 - 
      90*T1^11*T2^8 + 47*T1^12*T2^8 + 22*T1^13*T2^8 - 62*T1^14*T2^8 + 
      18*T1^15*T2^8 + 3*T1^16*T2^8 - 9*T1*T2^9 + 9*T1^2*T2^9 + 41*T1^3*T2^9 - 
      65*T1^4*T2^9 + 30*T1^5*T2^9 + 42*T1^6*T2^9 - 73*T1^7*T2^9 + 
      32*T1^8*T2^9 + 32*T1^9*T2^9 - 73*T1^10*T2^9 + 42*T1^11*T2^9 + 
      30*T1^12*T2^9 - 65*T1^13*T2^9 + 41*T1^14*T2^9 + 9*T1^15*T2^9 - 
      9*T1^16*T2^9 + 6*T1^2*T2^10 - 27*T1^3*T2^10 + 21*T1^4*T2^10 + 
      41*T1^5*T2^10 - 71*T1^6*T2^10 + 42*T1^7*T2^10 + 41*T1^8*T2^10 - 
      73*T1^9*T2^10 + 41*T1^10*T2^10 + 42*T1^11*T2^10 - 71*T1^12*T2^10 + 
      41*T1^13*T2^10 + 21*T1^14*T2^10 - 27*T1^15*T2^10 + 6*T1^16*T2^10 + 
      3*T1^3*T2^11 + 18*T1^4*T2^11 - 68*T1^5*T2^11 + 41*T1^6*T2^11 + 
      30*T1^7*T2^11 - 90*T1^8*T2^11 + 42*T1^9*T2^11 + 42*T1^10*T2^11 - 
      90*T1^11*T2^11 + 30*T1^12*T2^11 + 41*T1^13*T2^11 - 68*T1^14*T2^11 + 
      18*T1^15*T2^11 + 3*T1^16*T2^11 - 9*T1^4*T2^12 + 18*T1^5*T2^12 + 
      21*T1^6*T2^12 - 65*T1^7*T2^12 + 47*T1^8*T2^12 + 30*T1^9*T2^12 - 
      71*T1^10*T2^12 + 30*T1^11*T2^12 + 47*T1^12*T2^12 - 65*T1^13*T2^12 + 
      21*T1^14*T2^12 + 18*T1^15*T2^12 - 9*T1^16*T2^12 + 3*T1^5*T2^13 - 
      27*T1^6*T2^13 + 41*T1^7*T2^13 + 22*T1^8*T2^13 - 65*T1^9*T2^13 + 
      41*T1^10*T2^13 + 41*T1^11*T2^13 - 65*T1^12*T2^13 + 22*T1^13*T2^13 + 
      41*T1^14*T2^13 - 27*T1^15*T2^13 + 3*T1^16*T2^13 + 6*T1^6*T2^14 + 
      9*T1^7*T2^14 - 62*T1^8*T2^14 + 41*T1^9*T2^14 + 21*T1^10*T2^14 - 
      68*T1^11*T2^14 + 21*T1^12*T2^14 + 41*T1^13*T2^14 - 62*T1^14*T2^14 + 
      9*T1^15*T2^14 + 6*T1^16*T2^14 - 9*T1^7*T2^15 + 18*T1^8*T2^15 + 
      9*T1^9*T2^15 - 27*T1^10*T2^15 + 18*T1^11*T2^15 + 18*T1^12*T2^15 - 
      27*T1^13*T2^15 + 9*T1^14*T2^15 + 18*T1^15*T2^15 - 9*T1^16*T2^15 + 
      3*T1^8*T2^16 - 9*T1^9*T2^16 + 6*T1^10*T2^16 + 3*T1^11*T2^16 - 
      9*T1^12*T2^16 + 3*T1^13*T2^16 + 6*T1^14*T2^16 - 9*T1^15*T2^16 + 
      3*T1^16*T2^16)/(T1^8*T2^8))}, Knot[11, NonAlternating, 58] -> 
  {(1 - 4*T + 8*T^2 - 9*T^3 + 8*T^4 - 4*T^5 + T^6)/T^3, 
   -((1 - 4*T1 + 8*T1^2 - 9*T1^3 + 8*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 12*T1*T2 - 
      15*T1^2*T2 + 4*T1^3*T2 + 4*T1^4*T2 - 15*T1^5*T2 + 12*T1^6*T2 - 
      4*T1^7*T2 + 8*T2^2 - 15*T1*T2^2 - 2*T1^2*T2^2 + 37*T1^3*T2^2 - 
      38*T1^4*T2^2 + 37*T1^5*T2^2 - 2*T1^6*T2^2 - 15*T1^7*T2^2 + 
      8*T1^8*T2^2 - 9*T2^3 + 4*T1*T2^3 + 37*T1^2*T2^3 - 64*T1^3*T2^3 + 
      15*T1^4*T2^3 + 15*T1^5*T2^3 - 64*T1^6*T2^3 + 37*T1^7*T2^3 + 
      4*T1^8*T2^3 - 9*T1^9*T2^3 + 8*T2^4 + 4*T1*T2^4 - 38*T1^2*T2^4 + 
      15*T1^3*T2^4 + 74*T1^4*T2^4 - 86*T1^5*T2^4 + 74*T1^6*T2^4 + 
      15*T1^7*T2^4 - 38*T1^8*T2^4 + 4*T1^9*T2^4 + 8*T1^10*T2^4 - 4*T2^5 - 
      15*T1*T2^5 + 37*T1^2*T2^5 + 15*T1^3*T2^5 - 86*T1^4*T2^5 + 
      38*T1^5*T2^5 + 38*T1^6*T2^5 - 86*T1^7*T2^5 + 15*T1^8*T2^5 + 
      37*T1^9*T2^5 - 15*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 12*T1*T2^6 - 
      2*T1^2*T2^6 - 64*T1^3*T2^6 + 74*T1^4*T2^6 + 38*T1^5*T2^6 - 
      96*T1^6*T2^6 + 38*T1^7*T2^6 + 74*T1^8*T2^6 - 64*T1^9*T2^6 - 
      2*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 15*T1^2*T2^7 + 
      37*T1^3*T2^7 + 15*T1^4*T2^7 - 86*T1^5*T2^7 + 38*T1^6*T2^7 + 
      38*T1^7*T2^7 - 86*T1^8*T2^7 + 15*T1^9*T2^7 + 37*T1^10*T2^7 - 
      15*T1^11*T2^7 - 4*T1^12*T2^7 + 8*T1^2*T2^8 + 4*T1^3*T2^8 - 
      38*T1^4*T2^8 + 15*T1^5*T2^8 + 74*T1^6*T2^8 - 86*T1^7*T2^8 + 
      74*T1^8*T2^8 + 15*T1^9*T2^8 - 38*T1^10*T2^8 + 4*T1^11*T2^8 + 
      8*T1^12*T2^8 - 9*T1^3*T2^9 + 4*T1^4*T2^9 + 37*T1^5*T2^9 - 
      64*T1^6*T2^9 + 15*T1^7*T2^9 + 15*T1^8*T2^9 - 64*T1^9*T2^9 + 
      37*T1^10*T2^9 + 4*T1^11*T2^9 - 9*T1^12*T2^9 + 8*T1^4*T2^10 - 
      15*T1^5*T2^10 - 2*T1^6*T2^10 + 37*T1^7*T2^10 - 38*T1^8*T2^10 + 
      37*T1^9*T2^10 - 2*T1^10*T2^10 - 15*T1^11*T2^10 + 8*T1^12*T2^10 - 
      4*T1^5*T2^11 + 12*T1^6*T2^11 - 15*T1^7*T2^11 + 4*T1^8*T2^11 + 
      4*T1^9*T2^11 - 15*T1^10*T2^11 + 12*T1^11*T2^11 - 4*T1^12*T2^11 + 
      T1^6*T2^12 - 4*T1^7*T2^12 + 8*T1^8*T2^12 - 9*T1^9*T2^12 + 
      8*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, NonAlternating, 59] -> 
  {-((1 - 6*T + 12*T^2 - 15*T^3 + 12*T^4 - 6*T^5 + T^6)/T^3), 
   -((2 - 12*T1 + 24*T1^2 - 30*T1^3 + 24*T1^4 - 12*T1^5 + 2*T1^6 - 12*T2 + 
      62*T1*T2 - 74*T1^2*T2 + 38*T1^3*T2 + 38*T1^4*T2 - 74*T1^5*T2 + 
      62*T1^6*T2 - 12*T1^7*T2 + 24*T2^2 - 74*T1*T2^2 - 133*T1^2*T2^2 + 
      386*T1^3*T2^2 - 547*T1^4*T2^2 + 386*T1^5*T2^2 - 133*T1^6*T2^2 - 
      74*T1^7*T2^2 + 24*T1^8*T2^2 - 30*T2^3 + 38*T1*T2^3 + 386*T1^2*T2^3 - 
      486*T1^3*T2^3 + 289*T1^4*T2^3 + 289*T1^5*T2^3 - 486*T1^6*T2^3 + 
      386*T1^7*T2^3 + 38*T1^8*T2^3 - 30*T1^9*T2^3 + 24*T2^4 + 38*T1*T2^4 - 
      547*T1^2*T2^4 + 289*T1^3*T2^4 + 68*T1^4*T2^4 - 492*T1^5*T2^4 + 
      68*T1^6*T2^4 + 289*T1^7*T2^4 - 547*T1^8*T2^4 + 38*T1^9*T2^4 + 
      24*T1^10*T2^4 - 12*T2^5 - 74*T1*T2^5 + 386*T1^2*T2^5 + 289*T1^3*T2^5 - 
      492*T1^4*T2^5 + 434*T1^5*T2^5 + 434*T1^6*T2^5 - 492*T1^7*T2^5 + 
      289*T1^8*T2^5 + 386*T1^9*T2^5 - 74*T1^10*T2^5 - 12*T1^11*T2^5 + 
      2*T2^6 + 62*T1*T2^6 - 133*T1^2*T2^6 - 486*T1^3*T2^6 + 68*T1^4*T2^6 + 
      434*T1^5*T2^6 - 1080*T1^6*T2^6 + 434*T1^7*T2^6 + 68*T1^8*T2^6 - 
      486*T1^9*T2^6 - 133*T1^10*T2^6 + 62*T1^11*T2^6 + 2*T1^12*T2^6 - 
      12*T1*T2^7 - 74*T1^2*T2^7 + 386*T1^3*T2^7 + 289*T1^4*T2^7 - 
      492*T1^5*T2^7 + 434*T1^6*T2^7 + 434*T1^7*T2^7 - 492*T1^8*T2^7 + 
      289*T1^9*T2^7 + 386*T1^10*T2^7 - 74*T1^11*T2^7 - 12*T1^12*T2^7 + 
      24*T1^2*T2^8 + 38*T1^3*T2^8 - 547*T1^4*T2^8 + 289*T1^5*T2^8 + 
      68*T1^6*T2^8 - 492*T1^7*T2^8 + 68*T1^8*T2^8 + 289*T1^9*T2^8 - 
      547*T1^10*T2^8 + 38*T1^11*T2^8 + 24*T1^12*T2^8 - 30*T1^3*T2^9 + 
      38*T1^4*T2^9 + 386*T1^5*T2^9 - 486*T1^6*T2^9 + 289*T1^7*T2^9 + 
      289*T1^8*T2^9 - 486*T1^9*T2^9 + 386*T1^10*T2^9 + 38*T1^11*T2^9 - 
      30*T1^12*T2^9 + 24*T1^4*T2^10 - 74*T1^5*T2^10 - 133*T1^6*T2^10 + 
      386*T1^7*T2^10 - 547*T1^8*T2^10 + 386*T1^9*T2^10 - 133*T1^10*T2^10 - 
      74*T1^11*T2^10 + 24*T1^12*T2^10 - 12*T1^5*T2^11 + 62*T1^6*T2^11 - 
      74*T1^7*T2^11 + 38*T1^8*T2^11 + 38*T1^9*T2^11 - 74*T1^10*T2^11 + 
      62*T1^11*T2^11 - 12*T1^12*T2^11 + 2*T1^6*T2^12 - 12*T1^7*T2^12 + 
      24*T1^8*T2^12 - 30*T1^9*T2^12 + 24*T1^10*T2^12 - 12*T1^11*T2^12 + 
      2*T1^12*T2^12)/(T1^6*T2^6))}, 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), 
   -((1 - 3*T1 + 4*T1^2 - 5*T1^3 + 5*T1^4 - 5*T1^5 + 4*T1^6 - 3*T1^7 + T1^8 - 
      3*T2 + 6*T1*T2 - 3*T1^2*T2 + 3*T1^3*T2 + 3*T1^6*T2 - 3*T1^7*T2 + 
      6*T1^8*T2 - 3*T1^9*T2 + 4*T2^2 - 3*T1*T2^2 - 6*T1^2*T2^2 + T1^3*T2^2 - 
      7*T1^4*T2^2 + 4*T1^5*T2^2 - 7*T1^6*T2^2 + T1^7*T2^2 - 6*T1^8*T2^2 - 
      3*T1^9*T2^2 + 4*T1^10*T2^2 - 5*T2^3 + 3*T1*T2^3 + T1^2*T2^3 + 
      14*T1^3*T2^3 + 5*T1^4*T2^3 + T1^5*T2^3 + T1^6*T2^3 + 5*T1^7*T2^3 + 
      14*T1^8*T2^3 + T1^9*T2^3 + 3*T1^10*T2^3 - 5*T1^11*T2^3 + 5*T2^4 - 
      7*T1^2*T2^4 + 5*T1^3*T2^4 - 48*T1^4*T2^4 + 32*T1^5*T2^4 - 
      30*T1^6*T2^4 + 32*T1^7*T2^4 - 48*T1^8*T2^4 + 5*T1^9*T2^4 - 
      7*T1^10*T2^4 + 5*T1^12*T2^4 - 5*T2^5 + 4*T1^2*T2^5 + T1^3*T2^5 + 
      32*T1^4*T2^5 - 5*T1^6*T2^5 - 5*T1^7*T2^5 + 32*T1^9*T2^5 + T1^10*T2^5 + 
      4*T1^11*T2^5 - 5*T1^13*T2^5 + 4*T2^6 + 3*T1*T2^6 - 7*T1^2*T2^6 + 
      T1^3*T2^6 - 30*T1^4*T2^6 - 5*T1^5*T2^6 + 16*T1^6*T2^6 - 2*T1^7*T2^6 + 
      16*T1^8*T2^6 - 5*T1^9*T2^6 - 30*T1^10*T2^6 + T1^11*T2^6 - 
      7*T1^12*T2^6 + 3*T1^13*T2^6 + 4*T1^14*T2^6 - 3*T2^7 - 3*T1*T2^7 + 
      T1^2*T2^7 + 5*T1^3*T2^7 + 32*T1^4*T2^7 - 5*T1^5*T2^7 - 2*T1^6*T2^7 - 
      12*T1^7*T2^7 - 12*T1^8*T2^7 - 2*T1^9*T2^7 - 5*T1^10*T2^7 + 
      32*T1^11*T2^7 + 5*T1^12*T2^7 + T1^13*T2^7 - 3*T1^14*T2^7 - 
      3*T1^15*T2^7 + T2^8 + 6*T1*T2^8 - 6*T1^2*T2^8 + 14*T1^3*T2^8 - 
      48*T1^4*T2^8 + 16*T1^6*T2^8 - 12*T1^7*T2^8 + 36*T1^8*T2^8 - 
      12*T1^9*T2^8 + 16*T1^10*T2^8 - 48*T1^12*T2^8 + 14*T1^13*T2^8 - 
      6*T1^14*T2^8 + 6*T1^15*T2^8 + T1^16*T2^8 - 3*T1*T2^9 - 3*T1^2*T2^9 + 
      T1^3*T2^9 + 5*T1^4*T2^9 + 32*T1^5*T2^9 - 5*T1^6*T2^9 - 2*T1^7*T2^9 - 
      12*T1^8*T2^9 - 12*T1^9*T2^9 - 2*T1^10*T2^9 - 5*T1^11*T2^9 + 
      32*T1^12*T2^9 + 5*T1^13*T2^9 + T1^14*T2^9 - 3*T1^15*T2^9 - 
      3*T1^16*T2^9 + 4*T1^2*T2^10 + 3*T1^3*T2^10 - 7*T1^4*T2^10 + 
      T1^5*T2^10 - 30*T1^6*T2^10 - 5*T1^7*T2^10 + 16*T1^8*T2^10 - 
      2*T1^9*T2^10 + 16*T1^10*T2^10 - 5*T1^11*T2^10 - 30*T1^12*T2^10 + 
      T1^13*T2^10 - 7*T1^14*T2^10 + 3*T1^15*T2^10 + 4*T1^16*T2^10 - 
      5*T1^3*T2^11 + 4*T1^5*T2^11 + T1^6*T2^11 + 32*T1^7*T2^11 - 
      5*T1^9*T2^11 - 5*T1^10*T2^11 + 32*T1^12*T2^11 + T1^13*T2^11 + 
      4*T1^14*T2^11 - 5*T1^16*T2^11 + 5*T1^4*T2^12 - 7*T1^6*T2^12 + 
      5*T1^7*T2^12 - 48*T1^8*T2^12 + 32*T1^9*T2^12 - 30*T1^10*T2^12 + 
      32*T1^11*T2^12 - 48*T1^12*T2^12 + 5*T1^13*T2^12 - 7*T1^14*T2^12 + 
      5*T1^16*T2^12 - 5*T1^5*T2^13 + 3*T1^6*T2^13 + T1^7*T2^13 + 
      14*T1^8*T2^13 + 5*T1^9*T2^13 + T1^10*T2^13 + T1^11*T2^13 + 
      5*T1^12*T2^13 + 14*T1^13*T2^13 + T1^14*T2^13 + 3*T1^15*T2^13 - 
      5*T1^16*T2^13 + 4*T1^6*T2^14 - 3*T1^7*T2^14 - 6*T1^8*T2^14 + 
      T1^9*T2^14 - 7*T1^10*T2^14 + 4*T1^11*T2^14 - 7*T1^12*T2^14 + 
      T1^13*T2^14 - 6*T1^14*T2^14 - 3*T1^15*T2^14 + 4*T1^16*T2^14 - 
      3*T1^7*T2^15 + 6*T1^8*T2^15 - 3*T1^9*T2^15 + 3*T1^10*T2^15 + 
      3*T1^13*T2^15 - 3*T1^14*T2^15 + 6*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)/(T1^8*T2^8))}, 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, 
   (2 - 6*T1 + 8*T1^2 - 2*T1^3 - 2*T1^4 - 2*T1^5 + 8*T1^6 - 6*T1^7 + 2*T1^8 - 
     6*T2 + 12*T1*T2 - 6*T1^2*T2 - 18*T1^3*T2 + 12*T1^4*T2 + 12*T1^5*T2 - 
     18*T1^6*T2 - 6*T1^7*T2 + 12*T1^8*T2 - 6*T1^9*T2 + 8*T2^2 - 6*T1*T2^2 - 
     13*T1^2*T2^2 + 39*T1^3*T2^2 + 6*T1^4*T2^2 - 33*T1^5*T2^2 + 6*T1^6*T2^2 + 
     39*T1^7*T2^2 - 13*T1^8*T2^2 - 6*T1^9*T2^2 + 8*T1^10*T2^2 - 2*T2^3 - 
     18*T1*T2^3 + 39*T1^2*T2^3 - 26*T1^3*T2^3 - 59*T1^4*T2^3 + 38*T1^5*T2^3 + 
     38*T1^6*T2^3 - 59*T1^7*T2^3 - 26*T1^8*T2^3 + 39*T1^9*T2^3 - 
     18*T1^10*T2^3 - 2*T1^11*T2^3 - 2*T2^4 + 12*T1*T2^4 + 6*T1^2*T2^4 - 
     59*T1^3*T2^4 + 94*T1^4*T2^4 + 5*T1^5*T2^4 - 66*T1^6*T2^4 + 5*T1^7*T2^4 + 
     94*T1^8*T2^4 - 59*T1^9*T2^4 + 6*T1^10*T2^4 + 12*T1^11*T2^4 - 
     2*T1^12*T2^4 - 2*T2^5 + 12*T1*T2^5 - 33*T1^2*T2^5 + 38*T1^3*T2^5 + 
     5*T1^4*T2^5 - 62*T1^5*T2^5 + 39*T1^6*T2^5 + 39*T1^7*T2^5 - 
     62*T1^8*T2^5 + 5*T1^9*T2^5 + 38*T1^10*T2^5 - 33*T1^11*T2^5 + 
     12*T1^12*T2^5 - 2*T1^13*T2^5 + 8*T2^6 - 18*T1*T2^6 + 6*T1^2*T2^6 + 
     38*T1^3*T2^6 - 66*T1^4*T2^6 + 39*T1^5*T2^6 - 7*T1^6*T2^6 - 
     19*T1^7*T2^6 - 7*T1^8*T2^6 + 39*T1^9*T2^6 - 66*T1^10*T2^6 + 
     38*T1^11*T2^6 + 6*T1^12*T2^6 - 18*T1^13*T2^6 + 8*T1^14*T2^6 - 6*T2^7 - 
     6*T1*T2^7 + 39*T1^2*T2^7 - 59*T1^3*T2^7 + 5*T1^4*T2^7 + 39*T1^5*T2^7 - 
     19*T1^6*T2^7 + 10*T1^7*T2^7 + 10*T1^8*T2^7 - 19*T1^9*T2^7 + 
     39*T1^10*T2^7 + 5*T1^11*T2^7 - 59*T1^12*T2^7 + 39*T1^13*T2^7 - 
     6*T1^14*T2^7 - 6*T1^15*T2^7 + 2*T2^8 + 12*T1*T2^8 - 13*T1^2*T2^8 - 
     26*T1^3*T2^8 + 94*T1^4*T2^8 - 62*T1^5*T2^8 - 7*T1^6*T2^8 + 
     10*T1^7*T2^8 - 12*T1^8*T2^8 + 10*T1^9*T2^8 - 7*T1^10*T2^8 - 
     62*T1^11*T2^8 + 94*T1^12*T2^8 - 26*T1^13*T2^8 - 13*T1^14*T2^8 + 
     12*T1^15*T2^8 + 2*T1^16*T2^8 - 6*T1*T2^9 - 6*T1^2*T2^9 + 39*T1^3*T2^9 - 
     59*T1^4*T2^9 + 5*T1^5*T2^9 + 39*T1^6*T2^9 - 19*T1^7*T2^9 + 
     10*T1^8*T2^9 + 10*T1^9*T2^9 - 19*T1^10*T2^9 + 39*T1^11*T2^9 + 
     5*T1^12*T2^9 - 59*T1^13*T2^9 + 39*T1^14*T2^9 - 6*T1^15*T2^9 - 
     6*T1^16*T2^9 + 8*T1^2*T2^10 - 18*T1^3*T2^10 + 6*T1^4*T2^10 + 
     38*T1^5*T2^10 - 66*T1^6*T2^10 + 39*T1^7*T2^10 - 7*T1^8*T2^10 - 
     19*T1^9*T2^10 - 7*T1^10*T2^10 + 39*T1^11*T2^10 - 66*T1^12*T2^10 + 
     38*T1^13*T2^10 + 6*T1^14*T2^10 - 18*T1^15*T2^10 + 8*T1^16*T2^10 - 
     2*T1^3*T2^11 + 12*T1^4*T2^11 - 33*T1^5*T2^11 + 38*T1^6*T2^11 + 
     5*T1^7*T2^11 - 62*T1^8*T2^11 + 39*T1^9*T2^11 + 39*T1^10*T2^11 - 
     62*T1^11*T2^11 + 5*T1^12*T2^11 + 38*T1^13*T2^11 - 33*T1^14*T2^11 + 
     12*T1^15*T2^11 - 2*T1^16*T2^11 - 2*T1^4*T2^12 + 12*T1^5*T2^12 + 
     6*T1^6*T2^12 - 59*T1^7*T2^12 + 94*T1^8*T2^12 + 5*T1^9*T2^12 - 
     66*T1^10*T2^12 + 5*T1^11*T2^12 + 94*T1^12*T2^12 - 59*T1^13*T2^12 + 
     6*T1^14*T2^12 + 12*T1^15*T2^12 - 2*T1^16*T2^12 - 2*T1^5*T2^13 - 
     18*T1^6*T2^13 + 39*T1^7*T2^13 - 26*T1^8*T2^13 - 59*T1^9*T2^13 + 
     38*T1^10*T2^13 + 38*T1^11*T2^13 - 59*T1^12*T2^13 - 26*T1^13*T2^13 + 
     39*T1^14*T2^13 - 18*T1^15*T2^13 - 2*T1^16*T2^13 + 8*T1^6*T2^14 - 
     6*T1^7*T2^14 - 13*T1^8*T2^14 + 39*T1^9*T2^14 + 6*T1^10*T2^14 - 
     33*T1^11*T2^14 + 6*T1^12*T2^14 + 39*T1^13*T2^14 - 13*T1^14*T2^14 - 
     6*T1^15*T2^14 + 8*T1^16*T2^14 - 6*T1^7*T2^15 + 12*T1^8*T2^15 - 
     6*T1^9*T2^15 - 18*T1^10*T2^15 + 12*T1^11*T2^15 + 12*T1^12*T2^15 - 
     18*T1^13*T2^15 - 6*T1^14*T2^15 + 12*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)/(T1^8*T2^8)}, Knot[11, NonAlternating, 62] -> 
  {(2 - 8*T + 13*T^2 - 8*T^3 + 2*T^4)/T^2, 
   -((1 - 4*T1 + 7*T1^2 - 4*T1^3 + T1^4 - 4*T2 + 12*T1*T2 - 8*T1^2*T2 - 
      8*T1^3*T2 + 12*T1^4*T2 - 4*T1^5*T2 + 7*T2^2 - 8*T1*T2^2 - 
      40*T1^2*T2^2 + 66*T1^3*T2^2 - 40*T1^4*T2^2 - 8*T1^5*T2^2 + 
      7*T1^6*T2^2 - 4*T2^3 - 8*T1*T2^3 + 66*T1^2*T2^3 - 32*T1^3*T2^3 - 
      32*T1^4*T2^3 + 66*T1^5*T2^3 - 8*T1^6*T2^3 - 4*T1^7*T2^3 + T2^4 + 
      12*T1*T2^4 - 40*T1^2*T2^4 - 32*T1^3*T2^4 + 60*T1^4*T2^4 - 
      32*T1^5*T2^4 - 40*T1^6*T2^4 + 12*T1^7*T2^4 + T1^8*T2^4 - 4*T1*T2^5 - 
      8*T1^2*T2^5 + 66*T1^3*T2^5 - 32*T1^4*T2^5 - 32*T1^5*T2^5 + 
      66*T1^6*T2^5 - 8*T1^7*T2^5 - 4*T1^8*T2^5 + 7*T1^2*T2^6 - 8*T1^3*T2^6 - 
      40*T1^4*T2^6 + 66*T1^5*T2^6 - 40*T1^6*T2^6 - 8*T1^7*T2^6 + 
      7*T1^8*T2^6 - 4*T1^3*T2^7 + 12*T1^4*T2^7 - 8*T1^5*T2^7 - 8*T1^6*T2^7 + 
      12*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)/(T1^4*T2^4))}, Knot[11, NonAlternating, 63] -> 
  {-((2 - 10*T + 15*T^2 - 10*T^3 + 2*T^4)/T^2), 
   -((9 - 46*T1 + 69*T1^2 - 46*T1^3 + 9*T1^4 - 46*T2 + 196*T1*T2 - 
      118*T1^2*T2 - 118*T1^3*T2 + 196*T1^4*T2 - 46*T1^5*T2 + 69*T2^2 - 
      118*T1*T2^2 - 687*T1^2*T2^2 + 1199*T1^3*T2^2 - 687*T1^4*T2^2 - 
      118*T1^5*T2^2 + 69*T1^6*T2^2 - 46*T2^3 - 118*T1*T2^3 + 1199*T1^2*T2^3 - 
      742*T1^3*T2^3 - 742*T1^4*T2^3 + 1199*T1^5*T2^3 - 118*T1^6*T2^3 - 
      46*T1^7*T2^3 + 9*T2^4 + 196*T1*T2^4 - 687*T1^2*T2^4 - 742*T1^3*T2^4 + 
      1704*T1^4*T2^4 - 742*T1^5*T2^4 - 687*T1^6*T2^4 + 196*T1^7*T2^4 + 
      9*T1^8*T2^4 - 46*T1*T2^5 - 118*T1^2*T2^5 + 1199*T1^3*T2^5 - 
      742*T1^4*T2^5 - 742*T1^5*T2^5 + 1199*T1^6*T2^5 - 118*T1^7*T2^5 - 
      46*T1^8*T2^5 + 69*T1^2*T2^6 - 118*T1^3*T2^6 - 687*T1^4*T2^6 + 
      1199*T1^5*T2^6 - 687*T1^6*T2^6 - 118*T1^7*T2^6 + 69*T1^8*T2^6 - 
      46*T1^3*T2^7 + 196*T1^4*T2^7 - 118*T1^5*T2^7 - 118*T1^6*T2^7 + 
      196*T1^7*T2^7 - 46*T1^8*T2^7 + 9*T1^4*T2^8 - 46*T1^5*T2^8 + 
      69*T1^6*T2^8 - 46*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[11, NonAlternating, 64] -> 
  {-(((2 - 3*T + 2*T^2)*(1 - T - T^2 - T^3 + T^4))/T^3), 
   -((15 - 37*T1 + 22*T1^2 - 7*T1^3 + 22*T1^4 - 37*T1^5 + 15*T1^6 - 37*T2 + 
      54*T1*T2 + 37*T1^2*T2 - 37*T1^3*T2 - 37*T1^4*T2 + 37*T1^5*T2 + 
      54*T1^6*T2 - 37*T1^7*T2 + 22*T2^2 + 37*T1*T2^2 - 168*T1^2*T2^2 + 
      67*T1^3*T2^2 + 24*T1^4*T2^2 + 67*T1^5*T2^2 - 168*T1^6*T2^2 + 
      37*T1^7*T2^2 + 22*T1^8*T2^2 - 7*T2^3 - 37*T1*T2^3 + 67*T1^2*T2^3 + 
      52*T1^3*T2^3 - 51*T1^4*T2^3 - 51*T1^5*T2^3 + 52*T1^6*T2^3 + 
      67*T1^7*T2^3 - 37*T1^8*T2^3 - 7*T1^9*T2^3 + 22*T2^4 - 37*T1*T2^4 + 
      24*T1^2*T2^4 - 51*T1^3*T2^4 + 42*T1^4*T2^4 - 22*T1^5*T2^4 + 
      42*T1^6*T2^4 - 51*T1^7*T2^4 + 24*T1^8*T2^4 - 37*T1^9*T2^4 + 
      22*T1^10*T2^4 - 37*T2^5 + 37*T1*T2^5 + 67*T1^2*T2^5 - 51*T1^3*T2^5 - 
      22*T1^4*T2^5 + 14*T1^5*T2^5 + 14*T1^6*T2^5 - 22*T1^7*T2^5 - 
      51*T1^8*T2^5 + 67*T1^9*T2^5 + 37*T1^10*T2^5 - 37*T1^11*T2^5 + 15*T2^6 + 
      54*T1*T2^6 - 168*T1^2*T2^6 + 52*T1^3*T2^6 + 42*T1^4*T2^6 + 
      14*T1^5*T2^6 - 36*T1^6*T2^6 + 14*T1^7*T2^6 + 42*T1^8*T2^6 + 
      52*T1^9*T2^6 - 168*T1^10*T2^6 + 54*T1^11*T2^6 + 15*T1^12*T2^6 - 
      37*T1*T2^7 + 37*T1^2*T2^7 + 67*T1^3*T2^7 - 51*T1^4*T2^7 - 
      22*T1^5*T2^7 + 14*T1^6*T2^7 + 14*T1^7*T2^7 - 22*T1^8*T2^7 - 
      51*T1^9*T2^7 + 67*T1^10*T2^7 + 37*T1^11*T2^7 - 37*T1^12*T2^7 + 
      22*T1^2*T2^8 - 37*T1^3*T2^8 + 24*T1^4*T2^8 - 51*T1^5*T2^8 + 
      42*T1^6*T2^8 - 22*T1^7*T2^8 + 42*T1^8*T2^8 - 51*T1^9*T2^8 + 
      24*T1^10*T2^8 - 37*T1^11*T2^8 + 22*T1^12*T2^8 - 7*T1^3*T2^9 - 
      37*T1^4*T2^9 + 67*T1^5*T2^9 + 52*T1^6*T2^9 - 51*T1^7*T2^9 - 
      51*T1^8*T2^9 + 52*T1^9*T2^9 + 67*T1^10*T2^9 - 37*T1^11*T2^9 - 
      7*T1^12*T2^9 + 22*T1^4*T2^10 + 37*T1^5*T2^10 - 168*T1^6*T2^10 + 
      67*T1^7*T2^10 + 24*T1^8*T2^10 + 67*T1^9*T2^10 - 168*T1^10*T2^10 + 
      37*T1^11*T2^10 + 22*T1^12*T2^10 - 37*T1^5*T2^11 + 54*T1^6*T2^11 + 
      37*T1^7*T2^11 - 37*T1^8*T2^11 - 37*T1^9*T2^11 + 37*T1^10*T2^11 + 
      54*T1^11*T2^11 - 37*T1^12*T2^11 + 15*T1^6*T2^12 - 37*T1^7*T2^12 + 
      22*T1^8*T2^12 - 7*T1^9*T2^12 + 22*T1^10*T2^12 - 37*T1^11*T2^12 + 
      15*T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, NonAlternating, 65] -> 
  {((1 - T + T^2)*(3 - 5*T + 3*T^2))/T^2, 
   -((9 - 25*T1 + 37*T1^2 - 25*T1^3 + 9*T1^4 - 25*T2 + 42*T1*T2 - 
      32*T1^2*T2 - 32*T1^3*T2 + 42*T1^4*T2 - 25*T1^5*T2 + 37*T2^2 - 
      32*T1*T2^2 + 61*T1^2*T2^2 - 29*T1^3*T2^2 + 61*T1^4*T2^2 - 
      32*T1^5*T2^2 + 37*T1^6*T2^2 - 25*T2^3 - 32*T1*T2^3 - 29*T1^2*T2^3 - 
      20*T1^3*T2^3 - 20*T1^4*T2^3 - 29*T1^5*T2^3 - 32*T1^6*T2^3 - 
      25*T1^7*T2^3 + 9*T2^4 + 42*T1*T2^4 + 61*T1^2*T2^4 - 20*T1^3*T2^4 + 
      84*T1^4*T2^4 - 20*T1^5*T2^4 + 61*T1^6*T2^4 + 42*T1^7*T2^4 + 
      9*T1^8*T2^4 - 25*T1*T2^5 - 32*T1^2*T2^5 - 29*T1^3*T2^5 - 20*T1^4*T2^5 - 
      20*T1^5*T2^5 - 29*T1^6*T2^5 - 32*T1^7*T2^5 - 25*T1^8*T2^5 + 
      37*T1^2*T2^6 - 32*T1^3*T2^6 + 61*T1^4*T2^6 - 29*T1^5*T2^6 + 
      61*T1^6*T2^6 - 32*T1^7*T2^6 + 37*T1^8*T2^6 - 25*T1^3*T2^7 + 
      42*T1^4*T2^7 - 32*T1^5*T2^7 - 32*T1^6*T2^7 + 42*T1^7*T2^7 - 
      25*T1^8*T2^7 + 9*T1^4*T2^8 - 25*T1^5*T2^8 + 37*T1^6*T2^8 - 
      25*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[11, NonAlternating, 66] -> {((1 - 3*T + T^2)^2*(1 - T + T^2))/T^3, 
   (1 - 7*T1 + 18*T1^2 - 23*T1^3 + 18*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
     42*T1*T2 - 77*T1^2*T2 + 35*T1^3*T2 + 35*T1^4*T2 - 77*T1^5*T2 + 
     42*T1^6*T2 - 7*T1^7*T2 + 18*T2^2 - 77*T1*T2^2 + 4*T1^2*T2^2 + 
     325*T1^3*T2^2 - 456*T1^4*T2^2 + 325*T1^5*T2^2 + 4*T1^6*T2^2 - 
     77*T1^7*T2^2 + 18*T1^8*T2^2 - 23*T2^3 + 35*T1*T2^3 + 325*T1^2*T2^3 - 
     838*T1^3*T2^3 + 358*T1^4*T2^3 + 358*T1^5*T2^3 - 838*T1^6*T2^3 + 
     325*T1^7*T2^3 + 35*T1^8*T2^3 - 23*T1^9*T2^3 + 18*T2^4 + 35*T1*T2^4 - 
     456*T1^2*T2^4 + 358*T1^3*T2^4 + 1278*T1^4*T2^4 - 1844*T1^5*T2^4 + 
     1278*T1^6*T2^4 + 358*T1^7*T2^4 - 456*T1^8*T2^4 + 35*T1^9*T2^4 + 
     18*T1^10*T2^4 - 7*T2^5 - 77*T1*T2^5 + 325*T1^2*T2^5 + 358*T1^3*T2^5 - 
     1844*T1^4*T2^5 + 770*T1^5*T2^5 + 770*T1^6*T2^5 - 1844*T1^7*T2^5 + 
     358*T1^8*T2^5 + 325*T1^9*T2^5 - 77*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
     42*T1*T2^6 + 4*T1^2*T2^6 - 838*T1^3*T2^6 + 1278*T1^4*T2^6 + 
     770*T1^5*T2^6 - 1428*T1^6*T2^6 + 770*T1^7*T2^6 + 1278*T1^8*T2^6 - 
     838*T1^9*T2^6 + 4*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 7*T1*T2^7 - 
     77*T1^2*T2^7 + 325*T1^3*T2^7 + 358*T1^4*T2^7 - 1844*T1^5*T2^7 + 
     770*T1^6*T2^7 + 770*T1^7*T2^7 - 1844*T1^8*T2^7 + 358*T1^9*T2^7 + 
     325*T1^10*T2^7 - 77*T1^11*T2^7 - 7*T1^12*T2^7 + 18*T1^2*T2^8 + 
     35*T1^3*T2^8 - 456*T1^4*T2^8 + 358*T1^5*T2^8 + 1278*T1^6*T2^8 - 
     1844*T1^7*T2^8 + 1278*T1^8*T2^8 + 358*T1^9*T2^8 - 456*T1^10*T2^8 + 
     35*T1^11*T2^8 + 18*T1^12*T2^8 - 23*T1^3*T2^9 + 35*T1^4*T2^9 + 
     325*T1^5*T2^9 - 838*T1^6*T2^9 + 358*T1^7*T2^9 + 358*T1^8*T2^9 - 
     838*T1^9*T2^9 + 325*T1^10*T2^9 + 35*T1^11*T2^9 - 23*T1^12*T2^9 + 
     18*T1^4*T2^10 - 77*T1^5*T2^10 + 4*T1^6*T2^10 + 325*T1^7*T2^10 - 
     456*T1^8*T2^10 + 325*T1^9*T2^10 + 4*T1^10*T2^10 - 77*T1^11*T2^10 + 
     18*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 77*T1^7*T2^11 + 
     35*T1^8*T2^11 + 35*T1^9*T2^11 - 77*T1^10*T2^11 + 42*T1^11*T2^11 - 
     7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 18*T1^8*T2^12 - 
     23*T1^9*T2^12 + 18*T1^10*T2^12 - 7*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, NonAlternating, 67] -> 
  {-(((-2 + T)*(-1 + 2*T))/T), 
   -((T1 + T1^2 + T2 - T1*T2 - 15*T1^2*T2 - T1^3*T2 + T1^4*T2 + T2^2 - 
      15*T1*T2^2 + 34*T1^2*T2^2 + 34*T1^3*T2^2 - 15*T1^4*T2^2 + T1^5*T2^2 - 
      T1*T2^3 + 34*T1^2*T2^3 - 120*T1^3*T2^3 + 34*T1^4*T2^3 - T1^5*T2^3 + 
      T1*T2^4 - 15*T1^2*T2^4 + 34*T1^3*T2^4 + 34*T1^4*T2^4 - 15*T1^5*T2^4 + 
      T1^6*T2^4 + T1^2*T2^5 - T1^3*T2^5 - 15*T1^4*T2^5 - T1^5*T2^5 + 
      T1^6*T2^5 + T1^4*T2^6 + T1^5*T2^6)/(T1^3*T2^3))}, 
 Knot[11, NonAlternating, 68] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 3*T + 2*T^2))/T^2), 
   -((72 - 282*T1 + 400*T1^2 - 282*T1^3 + 72*T1^4 - 282*T2 + 824*T1*T2 - 
      465*T1^2*T2 - 465*T1^3*T2 + 824*T1^4*T2 - 282*T1^5*T2 + 400*T2^2 - 
      465*T1*T2^2 - 1712*T1^2*T2^2 + 3052*T1^3*T2^2 - 1712*T1^4*T2^2 - 
      465*T1^5*T2^2 + 400*T1^6*T2^2 - 282*T2^3 - 465*T1*T2^3 + 
      3052*T1^2*T2^3 - 1836*T1^3*T2^3 - 1836*T1^4*T2^3 + 3052*T1^5*T2^3 - 
      465*T1^6*T2^3 - 282*T1^7*T2^3 + 72*T2^4 + 824*T1*T2^4 - 
      1712*T1^2*T2^4 - 1836*T1^3*T2^4 + 4164*T1^4*T2^4 - 1836*T1^5*T2^4 - 
      1712*T1^6*T2^4 + 824*T1^7*T2^4 + 72*T1^8*T2^4 - 282*T1*T2^5 - 
      465*T1^2*T2^5 + 3052*T1^3*T2^5 - 1836*T1^4*T2^5 - 1836*T1^5*T2^5 + 
      3052*T1^6*T2^5 - 465*T1^7*T2^5 - 282*T1^8*T2^5 + 400*T1^2*T2^6 - 
      465*T1^3*T2^6 - 1712*T1^4*T2^6 + 3052*T1^5*T2^6 - 1712*T1^6*T2^6 - 
      465*T1^7*T2^6 + 400*T1^8*T2^6 - 282*T1^3*T2^7 + 824*T1^4*T2^7 - 
      465*T1^5*T2^7 - 465*T1^6*T2^7 + 824*T1^7*T2^7 - 282*T1^8*T2^7 + 
      72*T1^4*T2^8 - 282*T1^5*T2^8 + 400*T1^6*T2^8 - 282*T1^7*T2^8 + 
      72*T1^8*T2^8)/(T1^4*T2^4))}, Knot[11, NonAlternating, 69] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2 - T^3 + T^4))/T^3), 
   -((17 - 59*T1 + 74*T1^2 - 73*T1^3 + 74*T1^4 - 59*T1^5 + 17*T1^6 - 59*T2 + 
      146*T1*T2 - 53*T1^2*T2 - 3*T1^3*T2 - 3*T1^4*T2 - 53*T1^5*T2 + 
      146*T1^6*T2 - 59*T1^7*T2 + 74*T2^2 - 53*T1*T2^2 - 311*T1^2*T2^2 + 
      329*T1^3*T2^2 - 253*T1^4*T2^2 + 329*T1^5*T2^2 - 311*T1^6*T2^2 - 
      53*T1^7*T2^2 + 74*T1^8*T2^2 - 73*T2^3 - 3*T1*T2^3 + 329*T1^2*T2^3 - 
      52*T1^3*T2^3 - 54*T1^4*T2^3 - 54*T1^5*T2^3 - 52*T1^6*T2^3 + 
      329*T1^7*T2^3 - 3*T1^8*T2^3 - 73*T1^9*T2^3 + 74*T2^4 - 3*T1*T2^4 - 
      253*T1^2*T2^4 - 54*T1^3*T2^4 - 13*T1^4*T2^4 + 123*T1^5*T2^4 - 
      13*T1^6*T2^4 - 54*T1^7*T2^4 - 253*T1^8*T2^4 - 3*T1^9*T2^4 + 
      74*T1^10*T2^4 - 59*T2^5 - 53*T1*T2^5 + 329*T1^2*T2^5 - 54*T1^3*T2^5 + 
      123*T1^4*T2^5 - 74*T1^5*T2^5 - 74*T1^6*T2^5 + 123*T1^7*T2^5 - 
      54*T1^8*T2^5 + 329*T1^9*T2^5 - 53*T1^10*T2^5 - 59*T1^11*T2^5 + 
      17*T2^6 + 146*T1*T2^6 - 311*T1^2*T2^6 - 52*T1^3*T2^6 - 13*T1^4*T2^6 - 
      74*T1^5*T2^6 + 132*T1^6*T2^6 - 74*T1^7*T2^6 - 13*T1^8*T2^6 - 
      52*T1^9*T2^6 - 311*T1^10*T2^6 + 146*T1^11*T2^6 + 17*T1^12*T2^6 - 
      59*T1*T2^7 - 53*T1^2*T2^7 + 329*T1^3*T2^7 - 54*T1^4*T2^7 + 
      123*T1^5*T2^7 - 74*T1^6*T2^7 - 74*T1^7*T2^7 + 123*T1^8*T2^7 - 
      54*T1^9*T2^7 + 329*T1^10*T2^7 - 53*T1^11*T2^7 - 59*T1^12*T2^7 + 
      74*T1^2*T2^8 - 3*T1^3*T2^8 - 253*T1^4*T2^8 - 54*T1^5*T2^8 - 
      13*T1^6*T2^8 + 123*T1^7*T2^8 - 13*T1^8*T2^8 - 54*T1^9*T2^8 - 
      253*T1^10*T2^8 - 3*T1^11*T2^8 + 74*T1^12*T2^8 - 73*T1^3*T2^9 - 
      3*T1^4*T2^9 + 329*T1^5*T2^9 - 52*T1^6*T2^9 - 54*T1^7*T2^9 - 
      54*T1^8*T2^9 - 52*T1^9*T2^9 + 329*T1^10*T2^9 - 3*T1^11*T2^9 - 
      73*T1^12*T2^9 + 74*T1^4*T2^10 - 53*T1^5*T2^10 - 311*T1^6*T2^10 + 
      329*T1^7*T2^10 - 253*T1^8*T2^10 + 329*T1^9*T2^10 - 311*T1^10*T2^10 - 
      53*T1^11*T2^10 + 74*T1^12*T2^10 - 59*T1^5*T2^11 + 146*T1^6*T2^11 - 
      53*T1^7*T2^11 - 3*T1^8*T2^11 - 3*T1^9*T2^11 - 53*T1^10*T2^11 + 
      146*T1^11*T2^11 - 59*T1^12*T2^11 + 17*T1^6*T2^12 - 59*T1^7*T2^12 + 
      74*T1^8*T2^12 - 73*T1^9*T2^12 + 74*T1^10*T2^12 - 59*T1^11*T2^12 + 
      17*T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, NonAlternating, 70] -> 
  {-((1 - 2*T + 2*T^2 - 3*T^3 + 2*T^4 - 2*T^5 + T^6)/T^3), 
   -((2 - 4*T1 + 4*T1^2 - 6*T1^3 + 4*T1^4 - 4*T1^5 + 2*T1^6 - 4*T2 + 
      4*T1*T2 + 4*T1^3*T2 + 4*T1^4*T2 + 4*T1^6*T2 - 4*T1^7*T2 + 4*T2^2 - 
      5*T1^2*T2^2 - T1^3*T2^2 - 9*T1^4*T2^2 - T1^5*T2^2 - 5*T1^6*T2^2 + 
      4*T1^8*T2^2 - 6*T2^3 + 4*T1*T2^3 - T1^2*T2^3 + 6*T1^3*T2^3 + 
      4*T1^4*T2^3 + 4*T1^5*T2^3 + 6*T1^6*T2^3 - T1^7*T2^3 + 4*T1^8*T2^3 - 
      6*T1^9*T2^3 + 4*T2^4 + 4*T1*T2^4 - 9*T1^2*T2^4 + 4*T1^3*T2^4 - 
      9*T1^4*T2^4 + T1^5*T2^4 - 9*T1^6*T2^4 + 4*T1^7*T2^4 - 9*T1^8*T2^4 + 
      4*T1^9*T2^4 + 4*T1^10*T2^4 - 4*T2^5 - T1^2*T2^5 + 4*T1^3*T2^5 + 
      T1^4*T2^5 + 2*T1^5*T2^5 + 2*T1^6*T2^5 + T1^7*T2^5 + 4*T1^8*T2^5 - 
      T1^9*T2^5 - 4*T1^11*T2^5 + 2*T2^6 + 4*T1*T2^6 - 5*T1^2*T2^6 + 
      6*T1^3*T2^6 - 9*T1^4*T2^6 + 2*T1^5*T2^6 + 2*T1^7*T2^6 - 9*T1^8*T2^6 + 
      6*T1^9*T2^6 - 5*T1^10*T2^6 + 4*T1^11*T2^6 + 2*T1^12*T2^6 - 4*T1*T2^7 - 
      T1^3*T2^7 + 4*T1^4*T2^7 + T1^5*T2^7 + 2*T1^6*T2^7 + 2*T1^7*T2^7 + 
      T1^8*T2^7 + 4*T1^9*T2^7 - T1^10*T2^7 - 4*T1^12*T2^7 + 4*T1^2*T2^8 + 
      4*T1^3*T2^8 - 9*T1^4*T2^8 + 4*T1^5*T2^8 - 9*T1^6*T2^8 + T1^7*T2^8 - 
      9*T1^8*T2^8 + 4*T1^9*T2^8 - 9*T1^10*T2^8 + 4*T1^11*T2^8 + 
      4*T1^12*T2^8 - 6*T1^3*T2^9 + 4*T1^4*T2^9 - T1^5*T2^9 + 6*T1^6*T2^9 + 
      4*T1^7*T2^9 + 4*T1^8*T2^9 + 6*T1^9*T2^9 - T1^10*T2^9 + 4*T1^11*T2^9 - 
      6*T1^12*T2^9 + 4*T1^4*T2^10 - 5*T1^6*T2^10 - T1^7*T2^10 - 
      9*T1^8*T2^10 - T1^9*T2^10 - 5*T1^10*T2^10 + 4*T1^12*T2^10 - 
      4*T1^5*T2^11 + 4*T1^6*T2^11 + 4*T1^8*T2^11 + 4*T1^9*T2^11 + 
      4*T1^11*T2^11 - 4*T1^12*T2^11 + 2*T1^6*T2^12 - 4*T1^7*T2^12 + 
      4*T1^8*T2^12 - 6*T1^9*T2^12 + 4*T1^10*T2^12 - 4*T1^11*T2^12 + 
      2*T1^12*T2^12)/(T1^6*T2^6))}, 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)*
     (9 - 22*T1 + 31*T1^2 - 22*T1^3 + 9*T1^4 - 22*T2 + 32*T1*T2 - 
      22*T1^2*T2 - 22*T1^3*T2 + 32*T1^4*T2 - 22*T1^5*T2 + 31*T2^2 - 
      22*T1*T2^2 + 27*T1^2*T2^2 - 3*T1^3*T2^2 + 27*T1^4*T2^2 - 22*T1^5*T2^2 + 
      31*T1^6*T2^2 - 22*T2^3 - 22*T1*T2^3 - 3*T1^2*T2^3 - 18*T1^3*T2^3 - 
      18*T1^4*T2^3 - 3*T1^5*T2^3 - 22*T1^6*T2^3 - 22*T1^7*T2^3 + 9*T2^4 + 
      32*T1*T2^4 + 27*T1^2*T2^4 - 18*T1^3*T2^4 + 60*T1^4*T2^4 - 
      18*T1^5*T2^4 + 27*T1^6*T2^4 + 32*T1^7*T2^4 + 9*T1^8*T2^4 - 22*T1*T2^5 - 
      22*T1^2*T2^5 - 3*T1^3*T2^5 - 18*T1^4*T2^5 - 18*T1^5*T2^5 - 
      3*T1^6*T2^5 - 22*T1^7*T2^5 - 22*T1^8*T2^5 + 31*T1^2*T2^6 - 
      22*T1^3*T2^6 + 27*T1^4*T2^6 - 3*T1^5*T2^6 + 27*T1^6*T2^6 - 
      22*T1^7*T2^6 + 31*T1^8*T2^6 - 22*T1^3*T2^7 + 32*T1^4*T2^7 - 
      22*T1^5*T2^7 - 22*T1^6*T2^7 + 32*T1^7*T2^7 - 22*T1^8*T2^7 + 
      9*T1^4*T2^8 - 22*T1^5*T2^8 + 31*T1^6*T2^8 - 22*T1^7*T2^8 + 
      9*T1^8*T2^8))/(T1^6*T2^6)}, 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)*
      (17 - 58*T1 + 73*T1^2 - 58*T1^3 + 17*T1^4 - 58*T2 + 140*T1*T2 - 
       50*T1^2*T2 - 50*T1^3*T2 + 140*T1^4*T2 - 58*T1^5*T2 + 73*T2^2 - 
       50*T1*T2^2 - 309*T1^2*T2^2 + 387*T1^3*T2^2 - 309*T1^4*T2^2 - 
       50*T1^5*T2^2 + 73*T1^6*T2^2 - 58*T2^3 - 50*T1*T2^3 + 387*T1^2*T2^3 - 
       122*T1^3*T2^3 - 122*T1^4*T2^3 + 387*T1^5*T2^3 - 50*T1^6*T2^3 - 
       58*T1^7*T2^3 + 17*T2^4 + 140*T1*T2^4 - 309*T1^2*T2^4 - 122*T1^3*T2^4 + 
       180*T1^4*T2^4 - 122*T1^5*T2^4 - 309*T1^6*T2^4 + 140*T1^7*T2^4 + 
       17*T1^8*T2^4 - 58*T1*T2^5 - 50*T1^2*T2^5 + 387*T1^3*T2^5 - 
       122*T1^4*T2^5 - 122*T1^5*T2^5 + 387*T1^6*T2^5 - 50*T1^7*T2^5 - 
       58*T1^8*T2^5 + 73*T1^2*T2^6 - 50*T1^3*T2^6 - 309*T1^4*T2^6 + 
       387*T1^5*T2^6 - 309*T1^6*T2^6 - 50*T1^7*T2^6 + 73*T1^8*T2^6 - 
       58*T1^3*T2^7 + 140*T1^4*T2^7 - 50*T1^5*T2^7 - 50*T1^6*T2^7 + 
       140*T1^7*T2^7 - 58*T1^8*T2^7 + 17*T1^4*T2^8 - 58*T1^5*T2^8 + 
       73*T1^6*T2^8 - 58*T1^7*T2^8 + 17*T1^8*T2^8))/(T1^6*T2^6))}, 
 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 + T2 - 6*T1*T2 + T1^2*T2 + T1*T2^2 + T1^2*T2^2))/(T1^3*T2^3)}, 
 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 + T2 - 6*T1*T2 + T1^2*T2 + T1*T2^2 + T1^2*T2^2))/(T1^3*T2^3)}, 
 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)*
      (9 - 22*T1 + 31*T1^2 - 22*T1^3 + 9*T1^4 - 22*T2 + 32*T1*T2 - 
       22*T1^2*T2 - 22*T1^3*T2 + 32*T1^4*T2 - 22*T1^5*T2 + 31*T2^2 - 
       22*T1*T2^2 + 27*T1^2*T2^2 - 3*T1^3*T2^2 + 27*T1^4*T2^2 - 
       22*T1^5*T2^2 + 31*T1^6*T2^2 - 22*T2^3 - 22*T1*T2^3 - 3*T1^2*T2^3 - 
       18*T1^3*T2^3 - 18*T1^4*T2^3 - 3*T1^5*T2^3 - 22*T1^6*T2^3 - 
       22*T1^7*T2^3 + 9*T2^4 + 32*T1*T2^4 + 27*T1^2*T2^4 - 18*T1^3*T2^4 + 
       60*T1^4*T2^4 - 18*T1^5*T2^4 + 27*T1^6*T2^4 + 32*T1^7*T2^4 + 
       9*T1^8*T2^4 - 22*T1*T2^5 - 22*T1^2*T2^5 - 3*T1^3*T2^5 - 18*T1^4*T2^5 - 
       18*T1^5*T2^5 - 3*T1^6*T2^5 - 22*T1^7*T2^5 - 22*T1^8*T2^5 + 
       31*T1^2*T2^6 - 22*T1^3*T2^6 + 27*T1^4*T2^6 - 3*T1^5*T2^6 + 
       27*T1^6*T2^6 - 22*T1^7*T2^6 + 31*T1^8*T2^6 - 22*T1^3*T2^7 + 
       32*T1^4*T2^7 - 22*T1^5*T2^7 - 22*T1^6*T2^7 + 32*T1^7*T2^7 - 
       22*T1^8*T2^7 + 9*T1^4*T2^8 - 22*T1^5*T2^8 + 31*T1^6*T2^8 - 
       22*T1^7*T2^8 + 9*T1^8*T2^8))/(T1^6*T2^6))}, 
 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 + 
       4*T1*T2 - 4*T1^2*T2 - 4*T1^5*T2 + 4*T1^6*T2 - 4*T1^7*T2 + 6*T2^2 - 
       4*T1*T2^2 + 7*T1^2*T2^2 - 2*T1^3*T2^2 + 5*T1^4*T2^2 - 2*T1^5*T2^2 + 
       7*T1^6*T2^2 - 4*T1^7*T2^2 + 6*T1^8*T2^2 - 6*T2^3 - 2*T1^2*T2^3 - 
       4*T1^3*T2^3 - 2*T1^4*T2^3 - 2*T1^5*T2^3 - 4*T1^6*T2^3 - 2*T1^7*T2^3 - 
       6*T1^9*T2^3 + 6*T2^4 + 5*T1^2*T2^4 - 2*T1^3*T2^4 + 7*T1^4*T2^4 - 
       T1^5*T2^4 + 7*T1^6*T2^4 - 2*T1^7*T2^4 + 5*T1^8*T2^4 + 6*T1^10*T2^4 - 
       4*T2^5 - 4*T1*T2^5 - 2*T1^2*T2^5 - 2*T1^3*T2^5 - T1^4*T2^5 - 
       4*T1^5*T2^5 - 4*T1^6*T2^5 - T1^7*T2^5 - 2*T1^8*T2^5 - 2*T1^9*T2^5 - 
       4*T1^10*T2^5 - 4*T1^11*T2^5 + 2*T2^6 + 4*T1*T2^6 + 7*T1^2*T2^6 - 
       4*T1^3*T2^6 + 7*T1^4*T2^6 - 4*T1^5*T2^6 + 12*T1^6*T2^6 - 4*T1^7*T2^6 + 
       7*T1^8*T2^6 - 4*T1^9*T2^6 + 7*T1^10*T2^6 + 4*T1^11*T2^6 + 
       2*T1^12*T2^6 - 4*T1*T2^7 - 4*T1^2*T2^7 - 2*T1^3*T2^7 - 2*T1^4*T2^7 - 
       T1^5*T2^7 - 4*T1^6*T2^7 - 4*T1^7*T2^7 - T1^8*T2^7 - 2*T1^9*T2^7 - 
       2*T1^10*T2^7 - 4*T1^11*T2^7 - 4*T1^12*T2^7 + 6*T1^2*T2^8 + 
       5*T1^4*T2^8 - 2*T1^5*T2^8 + 7*T1^6*T2^8 - T1^7*T2^8 + 7*T1^8*T2^8 - 
       2*T1^9*T2^8 + 5*T1^10*T2^8 + 6*T1^12*T2^8 - 6*T1^3*T2^9 - 
       2*T1^5*T2^9 - 4*T1^6*T2^9 - 2*T1^7*T2^9 - 2*T1^8*T2^9 - 4*T1^9*T2^9 - 
       2*T1^10*T2^9 - 6*T1^12*T2^9 + 6*T1^4*T2^10 - 4*T1^5*T2^10 + 
       7*T1^6*T2^10 - 2*T1^7*T2^10 + 5*T1^8*T2^10 - 2*T1^9*T2^10 + 
       7*T1^10*T2^10 - 4*T1^11*T2^10 + 6*T1^12*T2^10 - 4*T1^5*T2^11 + 
       4*T1^6*T2^11 - 4*T1^7*T2^11 - 4*T1^10*T2^11 + 4*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))/
     (T1^8*T2^8))}, Knot[11, NonAlternating, 77] -> 
  {((1 - T + T^2)^2*(1 + T - 3*T^2 + T^3 + T^4))/T^4, 
   (2*(1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (2 - 6*T1^2 + 10*T1^3 - 6*T1^4 + 2*T1^6 - 6*T2^2 + 12*T1^2*T2^2 - 
      27*T1^3*T2^2 + 31*T1^4*T2^2 - 27*T1^5*T2^2 + 12*T1^6*T2^2 - 
      6*T1^8*T2^2 + 10*T2^3 - 27*T1^2*T2^3 + 43*T1^3*T2^3 - 19*T1^4*T2^3 - 
      19*T1^5*T2^3 + 43*T1^6*T2^3 - 27*T1^7*T2^3 + 10*T1^9*T2^3 - 6*T2^4 + 
      31*T1^2*T2^4 - 19*T1^3*T2^4 - 35*T1^4*T2^4 + 69*T1^5*T2^4 - 
      35*T1^6*T2^4 - 19*T1^7*T2^4 + 31*T1^8*T2^4 - 6*T1^10*T2^4 - 
      27*T1^2*T2^5 - 19*T1^3*T2^5 + 69*T1^4*T2^5 - 48*T1^5*T2^5 - 
      48*T1^6*T2^5 + 69*T1^7*T2^5 - 19*T1^8*T2^5 - 27*T1^9*T2^5 + 2*T2^6 + 
      12*T1^2*T2^6 + 43*T1^3*T2^6 - 35*T1^4*T2^6 - 48*T1^5*T2^6 + 
      120*T1^6*T2^6 - 48*T1^7*T2^6 - 35*T1^8*T2^6 + 43*T1^9*T2^6 + 
      12*T1^10*T2^6 + 2*T1^12*T2^6 - 27*T1^3*T2^7 - 19*T1^4*T2^7 + 
      69*T1^5*T2^7 - 48*T1^6*T2^7 - 48*T1^7*T2^7 + 69*T1^8*T2^7 - 
      19*T1^9*T2^7 - 27*T1^10*T2^7 - 6*T1^2*T2^8 + 31*T1^4*T2^8 - 
      19*T1^5*T2^8 - 35*T1^6*T2^8 + 69*T1^7*T2^8 - 35*T1^8*T2^8 - 
      19*T1^9*T2^8 + 31*T1^10*T2^8 - 6*T1^12*T2^8 + 10*T1^3*T2^9 - 
      27*T1^5*T2^9 + 43*T1^6*T2^9 - 19*T1^7*T2^9 - 19*T1^8*T2^9 + 
      43*T1^9*T2^9 - 27*T1^10*T2^9 + 10*T1^12*T2^9 - 6*T1^4*T2^10 + 
      12*T1^6*T2^10 - 27*T1^7*T2^10 + 31*T1^8*T2^10 - 27*T1^9*T2^10 + 
      12*T1^10*T2^10 - 6*T1^12*T2^10 + 2*T1^6*T2^12 - 6*T1^8*T2^12 + 
      10*T1^9*T2^12 - 6*T1^10*T2^12 + 2*T1^12*T2^12))/(T1^8*T2^8)}, 
 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)*
     (2 - 4*T1 + 6*T1^2 - 6*T1^3 + 6*T1^4 - 4*T1^5 + 2*T1^6 - 4*T2 + 
      4*T1*T2 - 4*T1^2*T2 - 4*T1^5*T2 + 4*T1^6*T2 - 4*T1^7*T2 + 6*T2^2 - 
      4*T1*T2^2 + 7*T1^2*T2^2 - 2*T1^3*T2^2 + 5*T1^4*T2^2 - 2*T1^5*T2^2 + 
      7*T1^6*T2^2 - 4*T1^7*T2^2 + 6*T1^8*T2^2 - 6*T2^3 - 2*T1^2*T2^3 - 
      4*T1^3*T2^3 - 2*T1^4*T2^3 - 2*T1^5*T2^3 - 4*T1^6*T2^3 - 2*T1^7*T2^3 - 
      6*T1^9*T2^3 + 6*T2^4 + 5*T1^2*T2^4 - 2*T1^3*T2^4 + 7*T1^4*T2^4 - 
      T1^5*T2^4 + 7*T1^6*T2^4 - 2*T1^7*T2^4 + 5*T1^8*T2^4 + 6*T1^10*T2^4 - 
      4*T2^5 - 4*T1*T2^5 - 2*T1^2*T2^5 - 2*T1^3*T2^5 - T1^4*T2^5 - 
      4*T1^5*T2^5 - 4*T1^6*T2^5 - T1^7*T2^5 - 2*T1^8*T2^5 - 2*T1^9*T2^5 - 
      4*T1^10*T2^5 - 4*T1^11*T2^5 + 2*T2^6 + 4*T1*T2^6 + 7*T1^2*T2^6 - 
      4*T1^3*T2^6 + 7*T1^4*T2^6 - 4*T1^5*T2^6 + 12*T1^6*T2^6 - 4*T1^7*T2^6 + 
      7*T1^8*T2^6 - 4*T1^9*T2^6 + 7*T1^10*T2^6 + 4*T1^11*T2^6 + 
      2*T1^12*T2^6 - 4*T1*T2^7 - 4*T1^2*T2^7 - 2*T1^3*T2^7 - 2*T1^4*T2^7 - 
      T1^5*T2^7 - 4*T1^6*T2^7 - 4*T1^7*T2^7 - T1^8*T2^7 - 2*T1^9*T2^7 - 
      2*T1^10*T2^7 - 4*T1^11*T2^7 - 4*T1^12*T2^7 + 6*T1^2*T2^8 + 
      5*T1^4*T2^8 - 2*T1^5*T2^8 + 7*T1^6*T2^8 - T1^7*T2^8 + 7*T1^8*T2^8 - 
      2*T1^9*T2^8 + 5*T1^10*T2^8 + 6*T1^12*T2^8 - 6*T1^3*T2^9 - 2*T1^5*T2^9 - 
      4*T1^6*T2^9 - 2*T1^7*T2^9 - 2*T1^8*T2^9 - 4*T1^9*T2^9 - 2*T1^10*T2^9 - 
      6*T1^12*T2^9 + 6*T1^4*T2^10 - 4*T1^5*T2^10 + 7*T1^6*T2^10 - 
      2*T1^7*T2^10 + 5*T1^8*T2^10 - 2*T1^9*T2^10 + 7*T1^10*T2^10 - 
      4*T1^11*T2^10 + 6*T1^12*T2^10 - 4*T1^5*T2^11 + 4*T1^6*T2^11 - 
      4*T1^7*T2^11 - 4*T1^10*T2^11 + 4*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))/(T1^8*T2^8)}, 
 Knot[11, NonAlternating, 79] -> {-((2 - 4*T + 3*T^2 - 4*T^3 + 2*T^4)/T^2), 
   -((9 - 18*T1 + 13*T1^2 - 18*T1^3 + 9*T1^4 - 18*T2 + 18*T1*T2 + 
      10*T1^2*T2 + 10*T1^3*T2 + 18*T1^4*T2 - 18*T1^5*T2 + 13*T2^2 + 
      10*T1*T2^2 - 52*T1^2*T2^2 + 34*T1^3*T2^2 - 52*T1^4*T2^2 + 
      10*T1^5*T2^2 + 13*T1^6*T2^2 - 18*T2^3 + 10*T1*T2^3 + 34*T1^2*T2^3 - 
      26*T1^3*T2^3 - 26*T1^4*T2^3 + 34*T1^5*T2^3 + 10*T1^6*T2^3 - 
      18*T1^7*T2^3 + 9*T2^4 + 18*T1*T2^4 - 52*T1^2*T2^4 - 26*T1^3*T2^4 + 
      120*T1^4*T2^4 - 26*T1^5*T2^4 - 52*T1^6*T2^4 + 18*T1^7*T2^4 + 
      9*T1^8*T2^4 - 18*T1*T2^5 + 10*T1^2*T2^5 + 34*T1^3*T2^5 - 26*T1^4*T2^5 - 
      26*T1^5*T2^5 + 34*T1^6*T2^5 + 10*T1^7*T2^5 - 18*T1^8*T2^5 + 
      13*T1^2*T2^6 + 10*T1^3*T2^6 - 52*T1^4*T2^6 + 34*T1^5*T2^6 - 
      52*T1^6*T2^6 + 10*T1^7*T2^6 + 13*T1^8*T2^6 - 18*T1^3*T2^7 + 
      18*T1^4*T2^7 + 10*T1^5*T2^7 + 10*T1^6*T2^7 + 18*T1^7*T2^7 - 
      18*T1^8*T2^7 + 9*T1^4*T2^8 - 18*T1^5*T2^8 + 13*T1^6*T2^8 - 
      18*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[11, NonAlternating, 80] -> 
  {-((1 - T - 5*T^2 + 9*T^3 - 5*T^4 - T^5 + T^6)/T^3), 
   (2 - 2*T1 - 10*T1^2 + 18*T1^3 - 10*T1^4 - 2*T1^5 + 2*T1^6 - 2*T2 - 
     2*T1*T2 + 19*T1^2*T2 - 12*T1^3*T2 - 12*T1^4*T2 + 19*T1^5*T2 - 
     2*T1^6*T2 - 2*T1^7*T2 - 10*T2^2 + 19*T1*T2^2 + 15*T1^2*T2^2 - 
     76*T1^3*T2^2 + 107*T1^4*T2^2 - 76*T1^5*T2^2 + 15*T1^6*T2^2 + 
     19*T1^7*T2^2 - 10*T1^8*T2^2 + 18*T2^3 - 12*T1*T2^3 - 76*T1^2*T2^3 + 
     116*T1^3*T2^3 - 55*T1^4*T2^3 - 55*T1^5*T2^3 + 116*T1^6*T2^3 - 
     76*T1^7*T2^3 - 12*T1^8*T2^3 + 18*T1^9*T2^3 - 10*T2^4 - 12*T1*T2^4 + 
     107*T1^2*T2^4 - 55*T1^3*T2^4 - 259*T1^4*T2^4 + 435*T1^5*T2^4 - 
     259*T1^6*T2^4 - 55*T1^7*T2^4 + 107*T1^8*T2^4 - 12*T1^9*T2^4 - 
     10*T1^10*T2^4 - 2*T2^5 + 19*T1*T2^5 - 76*T1^2*T2^5 - 55*T1^3*T2^5 + 
     435*T1^4*T2^5 - 260*T1^5*T2^5 - 260*T1^6*T2^5 + 435*T1^7*T2^5 - 
     55*T1^8*T2^5 - 76*T1^9*T2^5 + 19*T1^10*T2^5 - 2*T1^11*T2^5 + 2*T2^6 - 
     2*T1*T2^6 + 15*T1^2*T2^6 + 116*T1^3*T2^6 - 259*T1^4*T2^6 - 
     260*T1^5*T2^6 + 600*T1^6*T2^6 - 260*T1^7*T2^6 - 259*T1^8*T2^6 + 
     116*T1^9*T2^6 + 15*T1^10*T2^6 - 2*T1^11*T2^6 + 2*T1^12*T2^6 - 
     2*T1*T2^7 + 19*T1^2*T2^7 - 76*T1^3*T2^7 - 55*T1^4*T2^7 + 435*T1^5*T2^7 - 
     260*T1^6*T2^7 - 260*T1^7*T2^7 + 435*T1^8*T2^7 - 55*T1^9*T2^7 - 
     76*T1^10*T2^7 + 19*T1^11*T2^7 - 2*T1^12*T2^7 - 10*T1^2*T2^8 - 
     12*T1^3*T2^8 + 107*T1^4*T2^8 - 55*T1^5*T2^8 - 259*T1^6*T2^8 + 
     435*T1^7*T2^8 - 259*T1^8*T2^8 - 55*T1^9*T2^8 + 107*T1^10*T2^8 - 
     12*T1^11*T2^8 - 10*T1^12*T2^8 + 18*T1^3*T2^9 - 12*T1^4*T2^9 - 
     76*T1^5*T2^9 + 116*T1^6*T2^9 - 55*T1^7*T2^9 - 55*T1^8*T2^9 + 
     116*T1^9*T2^9 - 76*T1^10*T2^9 - 12*T1^11*T2^9 + 18*T1^12*T2^9 - 
     10*T1^4*T2^10 + 19*T1^5*T2^10 + 15*T1^6*T2^10 - 76*T1^7*T2^10 + 
     107*T1^8*T2^10 - 76*T1^9*T2^10 + 15*T1^10*T2^10 + 19*T1^11*T2^10 - 
     10*T1^12*T2^10 - 2*T1^5*T2^11 - 2*T1^6*T2^11 + 19*T1^7*T2^11 - 
     12*T1^8*T2^11 - 12*T1^9*T2^11 + 19*T1^10*T2^11 - 2*T1^11*T2^11 - 
     2*T1^12*T2^11 + 2*T1^6*T2^12 - 2*T1^7*T2^12 - 10*T1^8*T2^12 + 
     18*T1^9*T2^12 - 10*T1^10*T2^12 - 2*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^6*T2^6)}, 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)*
      (3 - 6*T1 + 3*T1^2 - 3*T1^3 + 3*T1^4 - 6*T1^5 + 3*T1^6 - 6*T2 + 
       6*T1*T2 + 6*T1^2*T2 + 6*T1^5*T2 + 6*T1^6*T2 - 6*T1^7*T2 + 3*T2^2 + 
       6*T1*T2^2 - 19*T1^2*T2^2 + 5*T1^3*T2^2 - 5*T1^4*T2^2 + 5*T1^5*T2^2 - 
       19*T1^6*T2^2 + 6*T1^7*T2^2 + 3*T1^8*T2^2 - 3*T2^3 + 5*T1^2*T2^3 + 
       2*T1^3*T2^3 + T1^4*T2^3 + T1^5*T2^3 + 2*T1^6*T2^3 + 5*T1^7*T2^3 - 
       3*T1^9*T2^3 + 3*T2^4 - 5*T1^2*T2^4 + T1^3*T2^4 - 3*T1^4*T2^4 - 
       3*T1^5*T2^4 - 3*T1^6*T2^4 + T1^7*T2^4 - 5*T1^8*T2^4 + 3*T1^10*T2^4 - 
       6*T2^5 + 6*T1*T2^5 + 5*T1^2*T2^5 + T1^3*T2^5 - 3*T1^4*T2^5 + 
       4*T1^5*T2^5 + 4*T1^6*T2^5 - 3*T1^7*T2^5 + T1^8*T2^5 + 5*T1^9*T2^5 + 
       6*T1^10*T2^5 - 6*T1^11*T2^5 + 3*T2^6 + 6*T1*T2^6 - 19*T1^2*T2^6 + 
       2*T1^3*T2^6 - 3*T1^4*T2^6 + 4*T1^5*T2^6 + 4*T1^7*T2^6 - 3*T1^8*T2^6 + 
       2*T1^9*T2^6 - 19*T1^10*T2^6 + 6*T1^11*T2^6 + 3*T1^12*T2^6 - 
       6*T1*T2^7 + 6*T1^2*T2^7 + 5*T1^3*T2^7 + T1^4*T2^7 - 3*T1^5*T2^7 + 
       4*T1^6*T2^7 + 4*T1^7*T2^7 - 3*T1^8*T2^7 + T1^9*T2^7 + 5*T1^10*T2^7 + 
       6*T1^11*T2^7 - 6*T1^12*T2^7 + 3*T1^2*T2^8 - 5*T1^4*T2^8 + T1^5*T2^8 - 
       3*T1^6*T2^8 - 3*T1^7*T2^8 - 3*T1^8*T2^8 + T1^9*T2^8 - 5*T1^10*T2^8 + 
       3*T1^12*T2^8 - 3*T1^3*T2^9 + 5*T1^5*T2^9 + 2*T1^6*T2^9 + T1^7*T2^9 + 
       T1^8*T2^9 + 2*T1^9*T2^9 + 5*T1^10*T2^9 - 3*T1^12*T2^9 + 3*T1^4*T2^10 + 
       6*T1^5*T2^10 - 19*T1^6*T2^10 + 5*T1^7*T2^10 - 5*T1^8*T2^10 + 
       5*T1^9*T2^10 - 19*T1^10*T2^10 + 6*T1^11*T2^10 + 3*T1^12*T2^10 - 
       6*T1^5*T2^11 + 6*T1^6*T2^11 + 6*T1^7*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))/(T1^8*T2^8))}, Knot[11, NonAlternating, 82] -> 
  {(1 - 3*T + 4*T^2 - 3*T^3 + 4*T^4 - 3*T^5 + T^6)/T^3, 
   (1 - 3*T1 + 4*T1^2 - 3*T1^3 + 4*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 - 
     3*T1^2*T2 - 3*T1^3*T2 - 3*T1^4*T2 - 3*T1^5*T2 + 6*T1^6*T2 - 3*T1^7*T2 + 
     4*T2^2 - 3*T1*T2^2 - 8*T1^2*T2^2 + 16*T1^3*T2^2 - 2*T1^4*T2^2 + 
     16*T1^5*T2^2 - 8*T1^6*T2^2 - 3*T1^7*T2^2 + 4*T1^8*T2^2 - 3*T2^3 - 
     3*T1*T2^3 + 16*T1^2*T2^3 - 14*T1^3*T2^3 - 6*T1^4*T2^3 - 6*T1^5*T2^3 - 
     14*T1^6*T2^3 + 16*T1^7*T2^3 - 3*T1^8*T2^3 - 3*T1^9*T2^3 + 4*T2^4 - 
     3*T1*T2^4 - 2*T1^2*T2^4 - 6*T1^3*T2^4 + 11*T1^4*T2^4 - 5*T1^5*T2^4 + 
     11*T1^6*T2^4 - 6*T1^7*T2^4 - 2*T1^8*T2^4 - 3*T1^9*T2^4 + 4*T1^10*T2^4 - 
     3*T2^5 - 3*T1*T2^5 + 16*T1^2*T2^5 - 6*T1^3*T2^5 - 5*T1^4*T2^5 + 
     14*T1^5*T2^5 + 14*T1^6*T2^5 - 5*T1^7*T2^5 - 6*T1^8*T2^5 + 16*T1^9*T2^5 - 
     3*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 6*T1*T2^6 - 8*T1^2*T2^6 - 
     14*T1^3*T2^6 + 11*T1^4*T2^6 + 14*T1^5*T2^6 - 60*T1^6*T2^6 + 
     14*T1^7*T2^6 + 11*T1^8*T2^6 - 14*T1^9*T2^6 - 8*T1^10*T2^6 + 
     6*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 - 3*T1^2*T2^7 + 16*T1^3*T2^7 - 
     6*T1^4*T2^7 - 5*T1^5*T2^7 + 14*T1^6*T2^7 + 14*T1^7*T2^7 - 5*T1^8*T2^7 - 
     6*T1^9*T2^7 + 16*T1^10*T2^7 - 3*T1^11*T2^7 - 3*T1^12*T2^7 + 
     4*T1^2*T2^8 - 3*T1^3*T2^8 - 2*T1^4*T2^8 - 6*T1^5*T2^8 + 11*T1^6*T2^8 - 
     5*T1^7*T2^8 + 11*T1^8*T2^8 - 6*T1^9*T2^8 - 2*T1^10*T2^8 - 3*T1^11*T2^8 + 
     4*T1^12*T2^8 - 3*T1^3*T2^9 - 3*T1^4*T2^9 + 16*T1^5*T2^9 - 14*T1^6*T2^9 - 
     6*T1^7*T2^9 - 6*T1^8*T2^9 - 14*T1^9*T2^9 + 16*T1^10*T2^9 - 
     3*T1^11*T2^9 - 3*T1^12*T2^9 + 4*T1^4*T2^10 - 3*T1^5*T2^10 - 
     8*T1^6*T2^10 + 16*T1^7*T2^10 - 2*T1^8*T2^10 + 16*T1^9*T2^10 - 
     8*T1^10*T2^10 - 3*T1^11*T2^10 + 4*T1^12*T2^10 - 3*T1^5*T2^11 + 
     6*T1^6*T2^11 - 3*T1^7*T2^11 - 3*T1^8*T2^11 - 3*T1^9*T2^11 - 
     3*T1^10*T2^11 + 6*T1^11*T2^11 - 3*T1^12*T2^11 + T1^6*T2^12 - 
     3*T1^7*T2^12 + 4*T1^8*T2^12 - 3*T1^9*T2^12 + 4*T1^10*T2^12 - 
     3*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, NonAlternating, 83] -> {((3 - 3*T + T^2)*(1 - 3*T + 3*T^2))/T^2, 
   -((3 - 12*T1 + 19*T1^2 - 12*T1^3 + 3*T1^4 - 12*T2 + 34*T1*T2 - 
      28*T1^2*T2 - 28*T1^3*T2 + 34*T1^4*T2 - 12*T1^5*T2 + 19*T2^2 - 
      28*T1*T2^2 - 27*T1^2*T2^2 + 117*T1^3*T2^2 - 27*T1^4*T2^2 - 
      28*T1^5*T2^2 + 19*T1^6*T2^2 - 12*T2^3 - 28*T1*T2^3 + 117*T1^2*T2^3 - 
      120*T1^3*T2^3 - 120*T1^4*T2^3 + 117*T1^5*T2^3 - 28*T1^6*T2^3 - 
      12*T1^7*T2^3 + 3*T2^4 + 34*T1*T2^4 - 27*T1^2*T2^4 - 120*T1^3*T2^4 + 
      324*T1^4*T2^4 - 120*T1^5*T2^4 - 27*T1^6*T2^4 + 34*T1^7*T2^4 + 
      3*T1^8*T2^4 - 12*T1*T2^5 - 28*T1^2*T2^5 + 117*T1^3*T2^5 - 
      120*T1^4*T2^5 - 120*T1^5*T2^5 + 117*T1^6*T2^5 - 28*T1^7*T2^5 - 
      12*T1^8*T2^5 + 19*T1^2*T2^6 - 28*T1^3*T2^6 - 27*T1^4*T2^6 + 
      117*T1^5*T2^6 - 27*T1^6*T2^6 - 28*T1^7*T2^6 + 19*T1^8*T2^6 - 
      12*T1^3*T2^7 + 34*T1^4*T2^7 - 28*T1^5*T2^7 - 28*T1^6*T2^7 + 
      34*T1^7*T2^7 - 12*T1^8*T2^7 + 3*T1^4*T2^8 - 12*T1^5*T2^8 + 
      19*T1^6*T2^8 - 12*T1^7*T2^8 + 3*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[11, NonAlternating, 84] -> {-(((1 - 3*T + T^2)*(2 - 3*T + 2*T^2))/T^2), 
   (11 - 49*T1 + 69*T1^2 - 49*T1^3 + 11*T1^4 - 49*T2 + 172*T1*T2 - 
     92*T1^2*T2 - 92*T1^3*T2 + 172*T1^4*T2 - 49*T1^5*T2 + 69*T2^2 - 
     92*T1*T2^2 - 479*T1^2*T2^2 + 785*T1^3*T2^2 - 479*T1^4*T2^2 - 
     92*T1^5*T2^2 + 69*T1^6*T2^2 - 49*T2^3 - 92*T1*T2^3 + 785*T1^2*T2^3 - 
     430*T1^3*T2^3 - 430*T1^4*T2^3 + 785*T1^5*T2^3 - 92*T1^6*T2^3 - 
     49*T1^7*T2^3 + 11*T2^4 + 172*T1*T2^4 - 479*T1^2*T2^4 - 430*T1^3*T2^4 + 
     924*T1^4*T2^4 - 430*T1^5*T2^4 - 479*T1^6*T2^4 + 172*T1^7*T2^4 + 
     11*T1^8*T2^4 - 49*T1*T2^5 - 92*T1^2*T2^5 + 785*T1^3*T2^5 - 
     430*T1^4*T2^5 - 430*T1^5*T2^5 + 785*T1^6*T2^5 - 92*T1^7*T2^5 - 
     49*T1^8*T2^5 + 69*T1^2*T2^6 - 92*T1^3*T2^6 - 479*T1^4*T2^6 + 
     785*T1^5*T2^6 - 479*T1^6*T2^6 - 92*T1^7*T2^6 + 69*T1^8*T2^6 - 
     49*T1^3*T2^7 + 172*T1^4*T2^7 - 92*T1^5*T2^7 - 92*T1^6*T2^7 + 
     172*T1^7*T2^7 - 49*T1^8*T2^7 + 11*T1^4*T2^8 - 49*T1^5*T2^8 + 
     69*T1^6*T2^8 - 49*T1^7*T2^8 + 11*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[11, NonAlternating, 85] -> {-(((1 - 3*T + T^2)*(1 - T + T^2)^2)/T^3), 
   (-2*(3 - 12*T1 + 16*T1^2 - 12*T1^3 + 3*T1^4 - 12*T2 + 36*T1*T2 - 
      16*T1^2*T2 - 16*T1^3*T2 + 36*T1^4*T2 - 12*T1^5*T2 + 16*T2^2 - 
      16*T1*T2^2 - 91*T1^2*T2^2 + 128*T1^3*T2^2 - 91*T1^4*T2^2 - 
      16*T1^5*T2^2 + 16*T1^6*T2^2 - 12*T2^3 - 16*T1*T2^3 + 128*T1^2*T2^3 - 
      48*T1^3*T2^3 - 48*T1^4*T2^3 + 128*T1^5*T2^3 - 16*T1^6*T2^3 - 
      12*T1^7*T2^3 + 3*T2^4 + 36*T1*T2^4 - 91*T1^2*T2^4 - 48*T1^3*T2^4 + 
      72*T1^4*T2^4 - 48*T1^5*T2^4 - 91*T1^6*T2^4 + 36*T1^7*T2^4 + 
      3*T1^8*T2^4 - 12*T1*T2^5 - 16*T1^2*T2^5 + 128*T1^3*T2^5 - 
      48*T1^4*T2^5 - 48*T1^5*T2^5 + 128*T1^6*T2^5 - 16*T1^7*T2^5 - 
      12*T1^8*T2^5 + 16*T1^2*T2^6 - 16*T1^3*T2^6 - 91*T1^4*T2^6 + 
      128*T1^5*T2^6 - 91*T1^6*T2^6 - 16*T1^7*T2^6 + 16*T1^8*T2^6 - 
      12*T1^3*T2^7 + 36*T1^4*T2^7 - 16*T1^5*T2^7 - 16*T1^6*T2^7 + 
      36*T1^7*T2^7 - 12*T1^8*T2^7 + 3*T1^4*T2^8 - 12*T1^5*T2^8 + 
      16*T1^6*T2^8 - 12*T1^7*T2^8 + 3*T1^8*T2^8))/(T1^4*T2^4)}, 
 Knot[11, NonAlternating, 86] -> 
  {-(((1 - T + T^2)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^3), 
   -((3 - 12*T1 + 15*T1^2 - 12*T1^3 + 3*T1^4 - 12*T2 + 38*T1*T2 - 
      14*T1^2*T2 - 14*T1^3*T2 + 38*T1^4*T2 - 12*T1^5*T2 + 15*T2^2 - 
      14*T1*T2^2 - 110*T1^2*T2^2 + 138*T1^3*T2^2 - 110*T1^4*T2^2 - 
      14*T1^5*T2^2 + 15*T1^6*T2^2 - 12*T2^3 - 14*T1*T2^3 + 138*T1^2*T2^3 - 
      36*T1^3*T2^3 - 36*T1^4*T2^3 + 138*T1^5*T2^3 - 14*T1^6*T2^3 - 
      12*T1^7*T2^3 + 3*T2^4 + 38*T1*T2^4 - 110*T1^2*T2^4 - 36*T1^3*T2^4 + 
      24*T1^4*T2^4 - 36*T1^5*T2^4 - 110*T1^6*T2^4 + 38*T1^7*T2^4 + 
      3*T1^8*T2^4 - 12*T1*T2^5 - 14*T1^2*T2^5 + 138*T1^3*T2^5 - 
      36*T1^4*T2^5 - 36*T1^5*T2^5 + 138*T1^6*T2^5 - 14*T1^7*T2^5 - 
      12*T1^8*T2^5 + 15*T1^2*T2^6 - 14*T1^3*T2^6 - 110*T1^4*T2^6 + 
      138*T1^5*T2^6 - 110*T1^6*T2^6 - 14*T1^7*T2^6 + 15*T1^8*T2^6 - 
      12*T1^3*T2^7 + 38*T1^4*T2^7 - 14*T1^5*T2^7 - 14*T1^6*T2^7 + 
      38*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)/(T1^4*T2^4))}, 
 Knot[11, NonAlternating, 87] -> 
  {((1 - T + T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^3, 
   -((1 - 5*T1 + 12*T1^2 - 15*T1^3 + 12*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
      20*T1*T2 - 35*T1^2*T2 + 15*T1^3*T2 + 15*T1^4*T2 - 35*T1^5*T2 + 
      20*T1^6*T2 - 5*T1^7*T2 + 12*T2^2 - 35*T1*T2^2 + 43*T1^2*T2^2 + 
      28*T1^3*T2^2 - 39*T1^4*T2^2 + 28*T1^5*T2^2 + 43*T1^6*T2^2 - 
      35*T1^7*T2^2 + 12*T1^8*T2^2 - 15*T2^3 + 15*T1*T2^3 + 28*T1^2*T2^3 - 
      158*T1^3*T2^3 + 30*T1^4*T2^3 + 30*T1^5*T2^3 - 158*T1^6*T2^3 + 
      28*T1^7*T2^3 + 15*T1^8*T2^3 - 15*T1^9*T2^3 + 12*T2^4 + 15*T1*T2^4 - 
      39*T1^2*T2^4 + 30*T1^3*T2^4 + 417*T1^4*T2^4 - 409*T1^5*T2^4 + 
      417*T1^6*T2^4 + 30*T1^7*T2^4 - 39*T1^8*T2^4 + 15*T1^9*T2^4 + 
      12*T1^10*T2^4 - 5*T2^5 - 35*T1*T2^5 + 28*T1^2*T2^5 + 30*T1^3*T2^5 - 
      409*T1^4*T2^5 + 20*T1^5*T2^5 + 20*T1^6*T2^5 - 409*T1^7*T2^5 + 
      30*T1^8*T2^5 + 28*T1^9*T2^5 - 35*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
      20*T1*T2^6 + 43*T1^2*T2^6 - 158*T1^3*T2^6 + 417*T1^4*T2^6 + 
      20*T1^5*T2^6 + 180*T1^6*T2^6 + 20*T1^7*T2^6 + 417*T1^8*T2^6 - 
      158*T1^9*T2^6 + 43*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 
      5*T1*T2^7 - 35*T1^2*T2^7 + 28*T1^3*T2^7 + 30*T1^4*T2^7 - 
      409*T1^5*T2^7 + 20*T1^6*T2^7 + 20*T1^7*T2^7 - 409*T1^8*T2^7 + 
      30*T1^9*T2^7 + 28*T1^10*T2^7 - 35*T1^11*T2^7 - 5*T1^12*T2^7 + 
      12*T1^2*T2^8 + 15*T1^3*T2^8 - 39*T1^4*T2^8 + 30*T1^5*T2^8 + 
      417*T1^6*T2^8 - 409*T1^7*T2^8 + 417*T1^8*T2^8 + 30*T1^9*T2^8 - 
      39*T1^10*T2^8 + 15*T1^11*T2^8 + 12*T1^12*T2^8 - 15*T1^3*T2^9 + 
      15*T1^4*T2^9 + 28*T1^5*T2^9 - 158*T1^6*T2^9 + 30*T1^7*T2^9 + 
      30*T1^8*T2^9 - 158*T1^9*T2^9 + 28*T1^10*T2^9 + 15*T1^11*T2^9 - 
      15*T1^12*T2^9 + 12*T1^4*T2^10 - 35*T1^5*T2^10 + 43*T1^6*T2^10 + 
      28*T1^7*T2^10 - 39*T1^8*T2^10 + 28*T1^9*T2^10 + 43*T1^10*T2^10 - 
      35*T1^11*T2^10 + 12*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 
      35*T1^7*T2^11 + 15*T1^8*T2^11 + 15*T1^9*T2^11 - 35*T1^10*T2^11 + 
      20*T1^11*T2^11 - 5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 
      12*T1^8*T2^12 - 15*T1^9*T2^12 + 12*T1^10*T2^12 - 5*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, NonAlternating, 88] -> 
  {-(((1 - T^2 + T^4)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^4), 
   -((3 - 9*T1 + 6*T1^2 - 3*T1^4 + 6*T1^6 - 9*T1^7 + 3*T1^8 - 9*T2 + 
      18*T1*T2 + 9*T1^2*T2 - 18*T1^3*T2 + 9*T1^4*T2 + 9*T1^5*T2 - 
      18*T1^6*T2 + 9*T1^7*T2 + 18*T1^8*T2 - 9*T1^9*T2 + 6*T2^2 + 9*T1*T2^2 - 
      62*T1^2*T2^2 + 35*T1^3*T2^2 + 7*T1^4*T2^2 - 28*T1^5*T2^2 + 
      7*T1^6*T2^2 + 35*T1^7*T2^2 - 62*T1^8*T2^2 + 9*T1^9*T2^2 + 
      6*T1^10*T2^2 - 18*T1*T2^3 + 35*T1^2*T2^3 + 18*T1^3*T2^3 - 
      36*T1^4*T2^3 + 18*T1^5*T2^3 + 18*T1^6*T2^3 - 36*T1^7*T2^3 + 
      18*T1^8*T2^3 + 35*T1^9*T2^3 - 18*T1^10*T2^3 - 3*T2^4 + 9*T1*T2^4 + 
      7*T1^2*T2^4 - 36*T1^3*T2^4 + 24*T1^4*T2^4 + 6*T1^5*T2^4 - 
      20*T1^6*T2^4 + 6*T1^7*T2^4 + 24*T1^8*T2^4 - 36*T1^9*T2^4 + 
      7*T1^10*T2^4 + 9*T1^11*T2^4 - 3*T1^12*T2^4 + 9*T1*T2^5 - 28*T1^2*T2^5 + 
      18*T1^3*T2^5 + 6*T1^4*T2^5 - 24*T1^5*T2^5 + 11*T1^6*T2^5 + 
      11*T1^7*T2^5 - 24*T1^8*T2^5 + 6*T1^9*T2^5 + 18*T1^10*T2^5 - 
      28*T1^11*T2^5 + 9*T1^12*T2^5 + 6*T2^6 - 18*T1*T2^6 + 7*T1^2*T2^6 + 
      18*T1^3*T2^6 - 20*T1^4*T2^6 + 11*T1^5*T2^6 + 12*T1^6*T2^6 - 
      20*T1^7*T2^6 + 12*T1^8*T2^6 + 11*T1^9*T2^6 - 20*T1^10*T2^6 + 
      18*T1^11*T2^6 + 7*T1^12*T2^6 - 18*T1^13*T2^6 + 6*T1^14*T2^6 - 9*T2^7 + 
      9*T1*T2^7 + 35*T1^2*T2^7 - 36*T1^3*T2^7 + 6*T1^4*T2^7 + 11*T1^5*T2^7 - 
      20*T1^6*T2^7 + 8*T1^7*T2^7 + 8*T1^8*T2^7 - 20*T1^9*T2^7 + 
      11*T1^10*T2^7 + 6*T1^11*T2^7 - 36*T1^12*T2^7 + 35*T1^13*T2^7 + 
      9*T1^14*T2^7 - 9*T1^15*T2^7 + 3*T2^8 + 18*T1*T2^8 - 62*T1^2*T2^8 + 
      18*T1^3*T2^8 + 24*T1^4*T2^8 - 24*T1^5*T2^8 + 12*T1^6*T2^8 + 
      8*T1^7*T2^8 - 12*T1^8*T2^8 + 8*T1^9*T2^8 + 12*T1^10*T2^8 - 
      24*T1^11*T2^8 + 24*T1^12*T2^8 + 18*T1^13*T2^8 - 62*T1^14*T2^8 + 
      18*T1^15*T2^8 + 3*T1^16*T2^8 - 9*T1*T2^9 + 9*T1^2*T2^9 + 35*T1^3*T2^9 - 
      36*T1^4*T2^9 + 6*T1^5*T2^9 + 11*T1^6*T2^9 - 20*T1^7*T2^9 + 
      8*T1^8*T2^9 + 8*T1^9*T2^9 - 20*T1^10*T2^9 + 11*T1^11*T2^9 + 
      6*T1^12*T2^9 - 36*T1^13*T2^9 + 35*T1^14*T2^9 + 9*T1^15*T2^9 - 
      9*T1^16*T2^9 + 6*T1^2*T2^10 - 18*T1^3*T2^10 + 7*T1^4*T2^10 + 
      18*T1^5*T2^10 - 20*T1^6*T2^10 + 11*T1^7*T2^10 + 12*T1^8*T2^10 - 
      20*T1^9*T2^10 + 12*T1^10*T2^10 + 11*T1^11*T2^10 - 20*T1^12*T2^10 + 
      18*T1^13*T2^10 + 7*T1^14*T2^10 - 18*T1^15*T2^10 + 6*T1^16*T2^10 + 
      9*T1^4*T2^11 - 28*T1^5*T2^11 + 18*T1^6*T2^11 + 6*T1^7*T2^11 - 
      24*T1^8*T2^11 + 11*T1^9*T2^11 + 11*T1^10*T2^11 - 24*T1^11*T2^11 + 
      6*T1^12*T2^11 + 18*T1^13*T2^11 - 28*T1^14*T2^11 + 9*T1^15*T2^11 - 
      3*T1^4*T2^12 + 9*T1^5*T2^12 + 7*T1^6*T2^12 - 36*T1^7*T2^12 + 
      24*T1^8*T2^12 + 6*T1^9*T2^12 - 20*T1^10*T2^12 + 6*T1^11*T2^12 + 
      24*T1^12*T2^12 - 36*T1^13*T2^12 + 7*T1^14*T2^12 + 9*T1^15*T2^12 - 
      3*T1^16*T2^12 - 18*T1^6*T2^13 + 35*T1^7*T2^13 + 18*T1^8*T2^13 - 
      36*T1^9*T2^13 + 18*T1^10*T2^13 + 18*T1^11*T2^13 - 36*T1^12*T2^13 + 
      18*T1^13*T2^13 + 35*T1^14*T2^13 - 18*T1^15*T2^13 + 6*T1^6*T2^14 + 
      9*T1^7*T2^14 - 62*T1^8*T2^14 + 35*T1^9*T2^14 + 7*T1^10*T2^14 - 
      28*T1^11*T2^14 + 7*T1^12*T2^14 + 35*T1^13*T2^14 - 62*T1^14*T2^14 + 
      9*T1^15*T2^14 + 6*T1^16*T2^14 - 9*T1^7*T2^15 + 18*T1^8*T2^15 + 
      9*T1^9*T2^15 - 18*T1^10*T2^15 + 9*T1^11*T2^15 + 9*T1^12*T2^15 - 
      18*T1^13*T2^15 + 9*T1^14*T2^15 + 18*T1^15*T2^15 - 9*T1^16*T2^15 + 
      3*T1^8*T2^16 - 9*T1^9*T2^16 + 6*T1^10*T2^16 - 3*T1^12*T2^16 + 
      6*T1^14*T2^16 - 9*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[11, NonAlternating, 89] -> 
  {-((1 - 7*T + 14*T^2 - 17*T^3 + 14*T^4 - 7*T^5 + T^6)/T^3), 
   (2 - 14*T1 + 28*T1^2 - 34*T1^3 + 28*T1^4 - 14*T1^5 + 2*T1^6 - 14*T2 + 
     86*T1*T2 - 96*T1^2*T2 + 40*T1^3*T2 + 40*T1^4*T2 - 96*T1^5*T2 + 
     86*T1^6*T2 - 14*T1^7*T2 + 28*T2^2 - 96*T1*T2^2 - 311*T1^2*T2^2 + 
     766*T1^3*T2^2 - 951*T1^4*T2^2 + 766*T1^5*T2^2 - 311*T1^6*T2^2 - 
     96*T1^7*T2^2 + 28*T1^8*T2^2 - 34*T2^3 + 40*T1*T2^3 + 766*T1^2*T2^3 - 
     890*T1^3*T2^3 + 374*T1^4*T2^3 + 374*T1^5*T2^3 - 890*T1^6*T2^3 + 
     766*T1^7*T2^3 + 40*T1^8*T2^3 - 34*T1^9*T2^3 + 28*T2^4 + 40*T1*T2^4 - 
     951*T1^2*T2^4 + 374*T1^3*T2^4 + 312*T1^4*T2^4 - 590*T1^5*T2^4 + 
     312*T1^6*T2^4 + 374*T1^7*T2^4 - 951*T1^8*T2^4 + 40*T1^9*T2^4 + 
     28*T1^10*T2^4 - 14*T2^5 - 96*T1*T2^5 + 766*T1^2*T2^5 + 374*T1^3*T2^5 - 
     590*T1^4*T2^5 + 264*T1^5*T2^5 + 264*T1^6*T2^5 - 590*T1^7*T2^5 + 
     374*T1^8*T2^5 + 766*T1^9*T2^5 - 96*T1^10*T2^5 - 14*T1^11*T2^5 + 2*T2^6 + 
     86*T1*T2^6 - 311*T1^2*T2^6 - 890*T1^3*T2^6 + 312*T1^4*T2^6 + 
     264*T1^5*T2^6 - 504*T1^6*T2^6 + 264*T1^7*T2^6 + 312*T1^8*T2^6 - 
     890*T1^9*T2^6 - 311*T1^10*T2^6 + 86*T1^11*T2^6 + 2*T1^12*T2^6 - 
     14*T1*T2^7 - 96*T1^2*T2^7 + 766*T1^3*T2^7 + 374*T1^4*T2^7 - 
     590*T1^5*T2^7 + 264*T1^6*T2^7 + 264*T1^7*T2^7 - 590*T1^8*T2^7 + 
     374*T1^9*T2^7 + 766*T1^10*T2^7 - 96*T1^11*T2^7 - 14*T1^12*T2^7 + 
     28*T1^2*T2^8 + 40*T1^3*T2^8 - 951*T1^4*T2^8 + 374*T1^5*T2^8 + 
     312*T1^6*T2^8 - 590*T1^7*T2^8 + 312*T1^8*T2^8 + 374*T1^9*T2^8 - 
     951*T1^10*T2^8 + 40*T1^11*T2^8 + 28*T1^12*T2^8 - 34*T1^3*T2^9 + 
     40*T1^4*T2^9 + 766*T1^5*T2^9 - 890*T1^6*T2^9 + 374*T1^7*T2^9 + 
     374*T1^8*T2^9 - 890*T1^9*T2^9 + 766*T1^10*T2^9 + 40*T1^11*T2^9 - 
     34*T1^12*T2^9 + 28*T1^4*T2^10 - 96*T1^5*T2^10 - 311*T1^6*T2^10 + 
     766*T1^7*T2^10 - 951*T1^8*T2^10 + 766*T1^9*T2^10 - 311*T1^10*T2^10 - 
     96*T1^11*T2^10 + 28*T1^12*T2^10 - 14*T1^5*T2^11 + 86*T1^6*T2^11 - 
     96*T1^7*T2^11 + 40*T1^8*T2^11 + 40*T1^9*T2^11 - 96*T1^10*T2^11 + 
     86*T1^11*T2^11 - 14*T1^12*T2^11 + 2*T1^6*T2^12 - 14*T1^7*T2^12 + 
     28*T1^8*T2^12 - 34*T1^9*T2^12 + 28*T1^10*T2^12 - 14*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, NonAlternating, 90] -> 
  {-((2 - 7*T + 8*T^2 - 7*T^3 + 8*T^4 - 7*T^5 + 2*T^6)/T^3), 
   -((17 - 59*T1 + 66*T1^2 - 57*T1^3 + 66*T1^4 - 59*T1^5 + 17*T1^6 - 59*T2 + 
      146*T1*T2 - 25*T1^2*T2 - 31*T1^3*T2 - 31*T1^4*T2 - 25*T1^5*T2 + 
      146*T1^6*T2 - 59*T1^7*T2 + 66*T2^2 - 25*T1*T2^2 - 383*T1^2*T2^2 + 
      350*T1^3*T2^2 - 185*T1^4*T2^2 + 350*T1^5*T2^2 - 383*T1^6*T2^2 - 
      25*T1^7*T2^2 + 66*T1^8*T2^2 - 57*T2^3 - 31*T1*T2^3 + 350*T1^2*T2^3 - 
      6*T1^3*T2^3 - 125*T1^4*T2^3 - 125*T1^5*T2^3 - 6*T1^6*T2^3 + 
      350*T1^7*T2^3 - 31*T1^8*T2^3 - 57*T1^9*T2^3 + 66*T2^4 - 31*T1*T2^4 - 
      185*T1^2*T2^4 - 125*T1^3*T2^4 + 77*T1^4*T2^4 + 91*T1^5*T2^4 + 
      77*T1^6*T2^4 - 125*T1^7*T2^4 - 185*T1^8*T2^4 - 31*T1^9*T2^4 + 
      66*T1^10*T2^4 - 59*T2^5 - 25*T1*T2^5 + 350*T1^2*T2^5 - 125*T1^3*T2^5 + 
      91*T1^4*T2^5 - 66*T1^5*T2^5 - 66*T1^6*T2^5 + 91*T1^7*T2^5 - 
      125*T1^8*T2^5 + 350*T1^9*T2^5 - 25*T1^10*T2^5 - 59*T1^11*T2^5 + 
      17*T2^6 + 146*T1*T2^6 - 383*T1^2*T2^6 - 6*T1^3*T2^6 + 77*T1^4*T2^6 - 
      66*T1^5*T2^6 + 84*T1^6*T2^6 - 66*T1^7*T2^6 + 77*T1^8*T2^6 - 
      6*T1^9*T2^6 - 383*T1^10*T2^6 + 146*T1^11*T2^6 + 17*T1^12*T2^6 - 
      59*T1*T2^7 - 25*T1^2*T2^7 + 350*T1^3*T2^7 - 125*T1^4*T2^7 + 
      91*T1^5*T2^7 - 66*T1^6*T2^7 - 66*T1^7*T2^7 + 91*T1^8*T2^7 - 
      125*T1^9*T2^7 + 350*T1^10*T2^7 - 25*T1^11*T2^7 - 59*T1^12*T2^7 + 
      66*T1^2*T2^8 - 31*T1^3*T2^8 - 185*T1^4*T2^8 - 125*T1^5*T2^8 + 
      77*T1^6*T2^8 + 91*T1^7*T2^8 + 77*T1^8*T2^8 - 125*T1^9*T2^8 - 
      185*T1^10*T2^8 - 31*T1^11*T2^8 + 66*T1^12*T2^8 - 57*T1^3*T2^9 - 
      31*T1^4*T2^9 + 350*T1^5*T2^9 - 6*T1^6*T2^9 - 125*T1^7*T2^9 - 
      125*T1^8*T2^9 - 6*T1^9*T2^9 + 350*T1^10*T2^9 - 31*T1^11*T2^9 - 
      57*T1^12*T2^9 + 66*T1^4*T2^10 - 25*T1^5*T2^10 - 383*T1^6*T2^10 + 
      350*T1^7*T2^10 - 185*T1^8*T2^10 + 350*T1^9*T2^10 - 383*T1^10*T2^10 - 
      25*T1^11*T2^10 + 66*T1^12*T2^10 - 59*T1^5*T2^11 + 146*T1^6*T2^11 - 
      25*T1^7*T2^11 - 31*T1^8*T2^11 - 31*T1^9*T2^11 - 25*T1^10*T2^11 + 
      146*T1^11*T2^11 - 59*T1^12*T2^11 + 17*T1^6*T2^12 - 59*T1^7*T2^12 + 
      66*T1^8*T2^12 - 57*T1^9*T2^12 + 66*T1^10*T2^12 - 59*T1^11*T2^12 + 
      17*T1^12*T2^12)/(T1^6*T2^6))}, 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 + 70*T1*T2 - 48*T1^2*T2 - 
     48*T1^3*T2 + 70*T1^4*T2 - 8*T1^5*T2 + 13*T2^2 - 48*T1*T2^2 - 
     481*T1^2*T2^2 + 867*T1^3*T2^2 - 481*T1^4*T2^2 - 48*T1^5*T2^2 + 
     13*T1^6*T2^2 - 8*T2^3 - 48*T1*T2^3 + 867*T1^2*T2^3 - 608*T1^3*T2^3 - 
     608*T1^4*T2^3 + 867*T1^5*T2^3 - 48*T1^6*T2^3 - 8*T1^7*T2^3 + T2^4 + 
     70*T1*T2^4 - 481*T1^2*T2^4 - 608*T1^3*T2^4 + 1500*T1^4*T2^4 - 
     608*T1^5*T2^4 - 481*T1^6*T2^4 + 70*T1^7*T2^4 + T1^8*T2^4 - 8*T1*T2^5 - 
     48*T1^2*T2^5 + 867*T1^3*T2^5 - 608*T1^4*T2^5 - 608*T1^5*T2^5 + 
     867*T1^6*T2^5 - 48*T1^7*T2^5 - 8*T1^8*T2^5 + 13*T1^2*T2^6 - 
     48*T1^3*T2^6 - 481*T1^4*T2^6 + 867*T1^5*T2^6 - 481*T1^6*T2^6 - 
     48*T1^7*T2^6 + 13*T1^8*T2^6 - 8*T1^3*T2^7 + 70*T1^4*T2^7 - 
     48*T1^5*T2^7 - 48*T1^6*T2^7 + 70*T1^7*T2^7 - 8*T1^8*T2^7 + T1^4*T2^8 - 
     8*T1^5*T2^8 + 13*T1^6*T2^8 - 8*T1^7*T2^8 + T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[11, NonAlternating, 92] -> 
  {(1 - 3*T + 3*T^2 - T^3 + 3*T^4 - 3*T^5 + T^6)/T^3, 
   -((1 - 3*T1 + 3*T1^2 - T1^3 + 3*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 - 
      6*T1^3*T2 - 6*T1^4*T2 + 6*T1^6*T2 - 3*T1^7*T2 + 3*T2^2 - 15*T1^2*T2^2 + 
      15*T1^3*T2^2 + 9*T1^4*T2^2 + 15*T1^5*T2^2 - 15*T1^6*T2^2 + 
      3*T1^8*T2^2 - T2^3 - 6*T1*T2^3 + 15*T1^2*T2^3 + 2*T1^3*T2^3 - 
      18*T1^4*T2^3 - 18*T1^5*T2^3 + 2*T1^6*T2^3 + 15*T1^7*T2^3 - 
      6*T1^8*T2^3 - T1^9*T2^3 + 3*T2^4 - 6*T1*T2^4 + 9*T1^2*T2^4 - 
      18*T1^3*T2^4 + 2*T1^4*T2^4 + 16*T1^5*T2^4 + 2*T1^6*T2^4 - 
      18*T1^7*T2^4 + 9*T1^8*T2^4 - 6*T1^9*T2^4 + 3*T1^10*T2^4 - 3*T2^5 + 
      15*T1^2*T2^5 - 18*T1^3*T2^5 + 16*T1^4*T2^5 + 6*T1^5*T2^5 + 
      6*T1^6*T2^5 + 16*T1^7*T2^5 - 18*T1^8*T2^5 + 15*T1^9*T2^5 - 
      3*T1^11*T2^5 + T2^6 + 6*T1*T2^6 - 15*T1^2*T2^6 + 2*T1^3*T2^6 + 
      2*T1^4*T2^6 + 6*T1^5*T2^6 - 48*T1^6*T2^6 + 6*T1^7*T2^6 + 2*T1^8*T2^6 + 
      2*T1^9*T2^6 - 15*T1^10*T2^6 + 6*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 + 
      15*T1^3*T2^7 - 18*T1^4*T2^7 + 16*T1^5*T2^7 + 6*T1^6*T2^7 + 
      6*T1^7*T2^7 + 16*T1^8*T2^7 - 18*T1^9*T2^7 + 15*T1^10*T2^7 - 
      3*T1^12*T2^7 + 3*T1^2*T2^8 - 6*T1^3*T2^8 + 9*T1^4*T2^8 - 18*T1^5*T2^8 + 
      2*T1^6*T2^8 + 16*T1^7*T2^8 + 2*T1^8*T2^8 - 18*T1^9*T2^8 + 
      9*T1^10*T2^8 - 6*T1^11*T2^8 + 3*T1^12*T2^8 - T1^3*T2^9 - 6*T1^4*T2^9 + 
      15*T1^5*T2^9 + 2*T1^6*T2^9 - 18*T1^7*T2^9 - 18*T1^8*T2^9 + 
      2*T1^9*T2^9 + 15*T1^10*T2^9 - 6*T1^11*T2^9 - T1^12*T2^9 + 
      3*T1^4*T2^10 - 15*T1^6*T2^10 + 15*T1^7*T2^10 + 9*T1^8*T2^10 + 
      15*T1^9*T2^10 - 15*T1^10*T2^10 + 3*T1^12*T2^10 - 3*T1^5*T2^11 + 
      6*T1^6*T2^11 - 6*T1^8*T2^11 - 6*T1^9*T2^11 + 6*T1^11*T2^11 - 
      3*T1^12*T2^11 + T1^6*T2^12 - 3*T1^7*T2^12 + 3*T1^8*T2^12 - T1^9*T2^12 + 
      3*T1^10*T2^12 - 3*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, NonAlternating, 93] -> 
  {(3 - 7*T + 9*T^2 - 9*T^3 + 9*T^4 - 7*T^5 + 3*T^6)/T^3, 
   (84 - 191*T1 + 242*T1^2 - 240*T1^3 + 242*T1^4 - 191*T1^5 + 84*T1^6 - 
     191*T2 + 246*T1*T2 - 118*T1^2*T2 - 4*T1^3*T2 - 4*T1^4*T2 - 118*T1^5*T2 + 
     246*T1^6*T2 - 191*T1^7*T2 + 242*T2^2 - 118*T1*T2^2 - 85*T1^2*T2^2 + 
     85*T1^3*T2^2 + 61*T1^4*T2^2 + 85*T1^5*T2^2 - 85*T1^6*T2^2 - 
     118*T1^7*T2^2 + 242*T1^8*T2^2 - 240*T2^3 - 4*T1*T2^3 + 85*T1^2*T2^3 + 
     24*T1^3*T2^3 - 116*T1^4*T2^3 - 116*T1^5*T2^3 + 24*T1^6*T2^3 + 
     85*T1^7*T2^3 - 4*T1^8*T2^3 - 240*T1^9*T2^3 + 242*T2^4 - 4*T1*T2^4 + 
     61*T1^2*T2^4 - 116*T1^3*T2^4 + 131*T1^4*T2^4 + 37*T1^5*T2^4 + 
     131*T1^6*T2^4 - 116*T1^7*T2^4 + 61*T1^8*T2^4 - 4*T1^9*T2^4 + 
     242*T1^10*T2^4 - 191*T2^5 - 118*T1*T2^5 + 85*T1^2*T2^5 - 116*T1^3*T2^5 + 
     37*T1^4*T2^5 - 84*T1^5*T2^5 - 84*T1^6*T2^5 + 37*T1^7*T2^5 - 
     116*T1^8*T2^5 + 85*T1^9*T2^5 - 118*T1^10*T2^5 - 191*T1^11*T2^5 + 
     84*T2^6 + 246*T1*T2^6 - 85*T1^2*T2^6 + 24*T1^3*T2^6 + 131*T1^4*T2^6 - 
     84*T1^5*T2^6 + 180*T1^6*T2^6 - 84*T1^7*T2^6 + 131*T1^8*T2^6 + 
     24*T1^9*T2^6 - 85*T1^10*T2^6 + 246*T1^11*T2^6 + 84*T1^12*T2^6 - 
     191*T1*T2^7 - 118*T1^2*T2^7 + 85*T1^3*T2^7 - 116*T1^4*T2^7 + 
     37*T1^5*T2^7 - 84*T1^6*T2^7 - 84*T1^7*T2^7 + 37*T1^8*T2^7 - 
     116*T1^9*T2^7 + 85*T1^10*T2^7 - 118*T1^11*T2^7 - 191*T1^12*T2^7 + 
     242*T1^2*T2^8 - 4*T1^3*T2^8 + 61*T1^4*T2^8 - 116*T1^5*T2^8 + 
     131*T1^6*T2^8 + 37*T1^7*T2^8 + 131*T1^8*T2^8 - 116*T1^9*T2^8 + 
     61*T1^10*T2^8 - 4*T1^11*T2^8 + 242*T1^12*T2^8 - 240*T1^3*T2^9 - 
     4*T1^4*T2^9 + 85*T1^5*T2^9 + 24*T1^6*T2^9 - 116*T1^7*T2^9 - 
     116*T1^8*T2^9 + 24*T1^9*T2^9 + 85*T1^10*T2^9 - 4*T1^11*T2^9 - 
     240*T1^12*T2^9 + 242*T1^4*T2^10 - 118*T1^5*T2^10 - 85*T1^6*T2^10 + 
     85*T1^7*T2^10 + 61*T1^8*T2^10 + 85*T1^9*T2^10 - 85*T1^10*T2^10 - 
     118*T1^11*T2^10 + 242*T1^12*T2^10 - 191*T1^5*T2^11 + 246*T1^6*T2^11 - 
     118*T1^7*T2^11 - 4*T1^8*T2^11 - 4*T1^9*T2^11 - 118*T1^10*T2^11 + 
     246*T1^11*T2^11 - 191*T1^12*T2^11 + 84*T1^6*T2^12 - 191*T1^7*T2^12 + 
     242*T1^8*T2^12 - 240*T1^9*T2^12 + 242*T1^10*T2^12 - 191*T1^11*T2^12 + 
     84*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, NonAlternating, 94] -> 
  {-(((1 - T + T^2)*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^3), 
   -((T1 + T1^4 + T2 - 10*T1*T2 + 8*T1^2*T2 - 16*T1^3*T2 + 8*T1^4*T2 - 
      10*T1^5*T2 + T1^6*T2 + 8*T1*T2^2 + 26*T1^2*T2^2 + 4*T1^3*T2^2 + 
      4*T1^4*T2^2 + 26*T1^5*T2^2 + 8*T1^6*T2^2 - 16*T1*T2^3 + 4*T1^2*T2^3 - 
      177*T1^3*T2^3 + 181*T1^4*T2^3 - 177*T1^5*T2^3 + 4*T1^6*T2^3 - 
      16*T1^7*T2^3 + T2^4 + 8*T1*T2^4 + 4*T1^2*T2^4 + 181*T1^3*T2^4 - 
      24*T1^4*T2^4 - 24*T1^5*T2^4 + 181*T1^6*T2^4 + 4*T1^7*T2^4 + 
      8*T1^8*T2^4 + T1^9*T2^4 - 10*T1*T2^5 + 26*T1^2*T2^5 - 177*T1^3*T2^5 - 
      24*T1^4*T2^5 - 36*T1^5*T2^5 - 24*T1^6*T2^5 - 177*T1^7*T2^5 + 
      26*T1^8*T2^5 - 10*T1^9*T2^5 + T1*T2^6 + 8*T1^2*T2^6 + 4*T1^3*T2^6 + 
      181*T1^4*T2^6 - 24*T1^5*T2^6 - 24*T1^6*T2^6 + 181*T1^7*T2^6 + 
      4*T1^8*T2^6 + 8*T1^9*T2^6 + T1^10*T2^6 - 16*T1^3*T2^7 + 4*T1^4*T2^7 - 
      177*T1^5*T2^7 + 181*T1^6*T2^7 - 177*T1^7*T2^7 + 4*T1^8*T2^7 - 
      16*T1^9*T2^7 + 8*T1^4*T2^8 + 26*T1^5*T2^8 + 4*T1^6*T2^8 + 4*T1^7*T2^8 + 
      26*T1^8*T2^8 + 8*T1^9*T2^8 + T1^4*T2^9 - 10*T1^5*T2^9 + 8*T1^6*T2^9 - 
      16*T1^7*T2^9 + 8*T1^8*T2^9 - 10*T1^9*T2^9 + T1^10*T2^9 + T1^6*T2^10 + 
      T1^9*T2^10)/(T1^5*T2^5))}, Knot[11, NonAlternating, 95] -> 
  {-((1 - 5*T + 7*T^2 - 7*T^3 + 7*T^4 - 5*T^5 + T^6)/T^3), 
   -((2 - 10*T1 + 14*T1^2 - 14*T1^3 + 14*T1^4 - 10*T1^5 + 2*T1^6 - 10*T2 + 
      40*T1*T2 - 17*T1^2*T2 - 2*T1^3*T2 - 2*T1^4*T2 - 17*T1^5*T2 + 
      40*T1^6*T2 - 10*T1^7*T2 + 14*T2^2 - 17*T1*T2^2 - 151*T1^2*T2^2 + 
      189*T1^3*T2^2 - 155*T1^4*T2^2 + 189*T1^5*T2^2 - 151*T1^6*T2^2 - 
      17*T1^7*T2^2 + 14*T1^8*T2^2 - 14*T2^3 - 2*T1*T2^3 + 189*T1^2*T2^3 - 
      56*T1^3*T2^3 - 30*T1^4*T2^3 - 30*T1^5*T2^3 - 56*T1^6*T2^3 + 
      189*T1^7*T2^3 - 2*T1^8*T2^3 - 14*T1^9*T2^3 + 14*T2^4 - 2*T1*T2^4 - 
      155*T1^2*T2^4 - 30*T1^3*T2^4 + 9*T1^4*T2^4 + 75*T1^5*T2^4 + 
      9*T1^6*T2^4 - 30*T1^7*T2^4 - 155*T1^8*T2^4 - 2*T1^9*T2^4 + 
      14*T1^10*T2^4 - 10*T2^5 - 17*T1*T2^5 + 189*T1^2*T2^5 - 30*T1^3*T2^5 + 
      75*T1^4*T2^5 - 52*T1^5*T2^5 - 52*T1^6*T2^5 + 75*T1^7*T2^5 - 
      30*T1^8*T2^5 + 189*T1^9*T2^5 - 17*T1^10*T2^5 - 10*T1^11*T2^5 + 2*T2^6 + 
      40*T1*T2^6 - 151*T1^2*T2^6 - 56*T1^3*T2^6 + 9*T1^4*T2^6 - 
      52*T1^5*T2^6 + 84*T1^6*T2^6 - 52*T1^7*T2^6 + 9*T1^8*T2^6 - 
      56*T1^9*T2^6 - 151*T1^10*T2^6 + 40*T1^11*T2^6 + 2*T1^12*T2^6 - 
      10*T1*T2^7 - 17*T1^2*T2^7 + 189*T1^3*T2^7 - 30*T1^4*T2^7 + 
      75*T1^5*T2^7 - 52*T1^6*T2^7 - 52*T1^7*T2^7 + 75*T1^8*T2^7 - 
      30*T1^9*T2^7 + 189*T1^10*T2^7 - 17*T1^11*T2^7 - 10*T1^12*T2^7 + 
      14*T1^2*T2^8 - 2*T1^3*T2^8 - 155*T1^4*T2^8 - 30*T1^5*T2^8 + 
      9*T1^6*T2^8 + 75*T1^7*T2^8 + 9*T1^8*T2^8 - 30*T1^9*T2^8 - 
      155*T1^10*T2^8 - 2*T1^11*T2^8 + 14*T1^12*T2^8 - 14*T1^3*T2^9 - 
      2*T1^4*T2^9 + 189*T1^5*T2^9 - 56*T1^6*T2^9 - 30*T1^7*T2^9 - 
      30*T1^8*T2^9 - 56*T1^9*T2^9 + 189*T1^10*T2^9 - 2*T1^11*T2^9 - 
      14*T1^12*T2^9 + 14*T1^4*T2^10 - 17*T1^5*T2^10 - 151*T1^6*T2^10 + 
      189*T1^7*T2^10 - 155*T1^8*T2^10 + 189*T1^9*T2^10 - 151*T1^10*T2^10 - 
      17*T1^11*T2^10 + 14*T1^12*T2^10 - 10*T1^5*T2^11 + 40*T1^6*T2^11 - 
      17*T1^7*T2^11 - 2*T1^8*T2^11 - 2*T1^9*T2^11 - 17*T1^10*T2^11 + 
      40*T1^11*T2^11 - 10*T1^12*T2^11 + 2*T1^6*T2^12 - 10*T1^7*T2^12 + 
      14*T1^8*T2^12 - 14*T1^9*T2^12 + 14*T1^10*T2^12 - 10*T1^11*T2^12 + 
      2*T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, NonAlternating, 96] -> 
  {(1 - 2*T + T^2 + T^3 + T^4 - 2*T^5 + T^6)/T^3, 
   (1 - 2*T1 + T1^2 + T1^3 + T1^4 - 2*T1^5 + T1^6 - 2*T2 + 6*T1^2*T2 - 
     7*T1^3*T2 - 7*T1^4*T2 + 6*T1^5*T2 - 2*T1^7*T2 + T2^2 + 6*T1*T2^2 - 
     10*T1^2*T2^2 + 2*T1^3*T2^2 + 16*T1^4*T2^2 + 2*T1^5*T2^2 - 10*T1^6*T2^2 + 
     6*T1^7*T2^2 + T1^8*T2^2 + T2^3 - 7*T1*T2^3 + 2*T1^2*T2^3 + 
     12*T1^3*T2^3 - 14*T1^4*T2^3 - 14*T1^5*T2^3 + 12*T1^6*T2^3 + 
     2*T1^7*T2^3 - 7*T1^8*T2^3 + T1^9*T2^3 + T2^4 - 7*T1*T2^4 + 
     16*T1^2*T2^4 - 14*T1^3*T2^4 - 18*T1^4*T2^4 + 36*T1^5*T2^4 - 
     18*T1^6*T2^4 - 14*T1^7*T2^4 + 16*T1^8*T2^4 - 7*T1^9*T2^4 + T1^10*T2^4 - 
     2*T2^5 + 6*T1*T2^5 + 2*T1^2*T2^5 - 14*T1^3*T2^5 + 36*T1^4*T2^5 - 
     12*T1^5*T2^5 - 12*T1^6*T2^5 + 36*T1^7*T2^5 - 14*T1^8*T2^5 + 
     2*T1^9*T2^5 + 6*T1^10*T2^5 - 2*T1^11*T2^5 + T2^6 - 10*T1^2*T2^6 + 
     12*T1^3*T2^6 - 18*T1^4*T2^6 - 12*T1^5*T2^6 + 12*T1^6*T2^6 - 
     12*T1^7*T2^6 - 18*T1^8*T2^6 + 12*T1^9*T2^6 - 10*T1^10*T2^6 + 
     T1^12*T2^6 - 2*T1*T2^7 + 6*T1^2*T2^7 + 2*T1^3*T2^7 - 14*T1^4*T2^7 + 
     36*T1^5*T2^7 - 12*T1^6*T2^7 - 12*T1^7*T2^7 + 36*T1^8*T2^7 - 
     14*T1^9*T2^7 + 2*T1^10*T2^7 + 6*T1^11*T2^7 - 2*T1^12*T2^7 + T1^2*T2^8 - 
     7*T1^3*T2^8 + 16*T1^4*T2^8 - 14*T1^5*T2^8 - 18*T1^6*T2^8 + 
     36*T1^7*T2^8 - 18*T1^8*T2^8 - 14*T1^9*T2^8 + 16*T1^10*T2^8 - 
     7*T1^11*T2^8 + T1^12*T2^8 + T1^3*T2^9 - 7*T1^4*T2^9 + 2*T1^5*T2^9 + 
     12*T1^6*T2^9 - 14*T1^7*T2^9 - 14*T1^8*T2^9 + 12*T1^9*T2^9 + 
     2*T1^10*T2^9 - 7*T1^11*T2^9 + T1^12*T2^9 + T1^4*T2^10 + 6*T1^5*T2^10 - 
     10*T1^6*T2^10 + 2*T1^7*T2^10 + 16*T1^8*T2^10 + 2*T1^9*T2^10 - 
     10*T1^10*T2^10 + 6*T1^11*T2^10 + T1^12*T2^10 - 2*T1^5*T2^11 + 
     6*T1^7*T2^11 - 7*T1^8*T2^11 - 7*T1^9*T2^11 + 6*T1^10*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)/(T1^6*T2^6)}, 
 Knot[11, NonAlternating, 97] -> {-(((-2 + T)*(-1 + 2*T))/T), 
   (T1 + T1^2 + T2 - 3*T1*T2 - 9*T1^2*T2 - 3*T1^3*T2 + T1^4*T2 + T2^2 - 
     9*T1*T2^2 + 22*T1^2*T2^2 + 22*T1^3*T2^2 - 9*T1^4*T2^2 + T1^5*T2^2 - 
     3*T1*T2^3 + 22*T1^2*T2^3 - 72*T1^3*T2^3 + 22*T1^4*T2^3 - 3*T1^5*T2^3 + 
     T1*T2^4 - 9*T1^2*T2^4 + 22*T1^3*T2^4 + 22*T1^4*T2^4 - 9*T1^5*T2^4 + 
     T1^6*T2^4 + T1^2*T2^5 - 3*T1^3*T2^5 - 9*T1^4*T2^5 - 3*T1^5*T2^5 + 
     T1^6*T2^5 + T1^4*T2^6 + T1^5*T2^6)/(T1^3*T2^3)}, 
 Knot[11, NonAlternating, 98] -> 
  {-(((1 - T + T^2)*(1 - 6*T + 9*T^2 - 6*T^3 + T^4))/T^3), 
   (5 - 15*T1 + 19*T1^2 - 15*T1^3 + 5*T1^4 - 15*T2 + 50*T1*T2 - 26*T1^2*T2 - 
     26*T1^3*T2 + 50*T1^4*T2 - 15*T1^5*T2 + 19*T2^2 - 26*T1*T2^2 - 
     217*T1^2*T2^2 + 357*T1^3*T2^2 - 217*T1^4*T2^2 - 26*T1^5*T2^2 + 
     19*T1^6*T2^2 - 15*T2^3 - 26*T1*T2^3 + 357*T1^2*T2^3 - 210*T1^3*T2^3 - 
     210*T1^4*T2^3 + 357*T1^5*T2^3 - 26*T1^6*T2^3 - 15*T1^7*T2^3 + 5*T2^4 + 
     50*T1*T2^4 - 217*T1^2*T2^4 - 210*T1^3*T2^4 + 468*T1^4*T2^4 - 
     210*T1^5*T2^4 - 217*T1^6*T2^4 + 50*T1^7*T2^4 + 5*T1^8*T2^4 - 
     15*T1*T2^5 - 26*T1^2*T2^5 + 357*T1^3*T2^5 - 210*T1^4*T2^5 - 
     210*T1^5*T2^5 + 357*T1^6*T2^5 - 26*T1^7*T2^5 - 15*T1^8*T2^5 + 
     19*T1^2*T2^6 - 26*T1^3*T2^6 - 217*T1^4*T2^6 + 357*T1^5*T2^6 - 
     217*T1^6*T2^6 - 26*T1^7*T2^6 + 19*T1^8*T2^6 - 15*T1^3*T2^7 + 
     50*T1^4*T2^7 - 26*T1^5*T2^7 - 26*T1^6*T2^7 + 50*T1^7*T2^7 - 
     15*T1^8*T2^7 + 5*T1^4*T2^8 - 15*T1^5*T2^8 + 19*T1^6*T2^8 - 
     15*T1^7*T2^8 + 5*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[11, NonAlternating, 99] -> {-(((1 - T + T^2)*(3 - 7*T + 3*T^2))/T^2), 
   (36 - 119*T1 + 152*T1^2 - 119*T1^3 + 36*T1^4 - 119*T2 + 272*T1*T2 - 
     105*T1^2*T2 - 105*T1^3*T2 + 272*T1^4*T2 - 119*T1^5*T2 + 152*T2^2 - 
     105*T1*T2^2 - 520*T1^2*T2^2 + 670*T1^3*T2^2 - 520*T1^4*T2^2 - 
     105*T1^5*T2^2 + 152*T1^6*T2^2 - 119*T2^3 - 105*T1*T2^3 + 670*T1^2*T2^3 - 
     208*T1^3*T2^3 - 208*T1^4*T2^3 + 670*T1^5*T2^3 - 105*T1^6*T2^3 - 
     119*T1^7*T2^3 + 36*T2^4 + 272*T1*T2^4 - 520*T1^2*T2^4 - 208*T1^3*T2^4 + 
     276*T1^4*T2^4 - 208*T1^5*T2^4 - 520*T1^6*T2^4 + 272*T1^7*T2^4 + 
     36*T1^8*T2^4 - 119*T1*T2^5 - 105*T1^2*T2^5 + 670*T1^3*T2^5 - 
     208*T1^4*T2^5 - 208*T1^5*T2^5 + 670*T1^6*T2^5 - 105*T1^7*T2^5 - 
     119*T1^8*T2^5 + 152*T1^2*T2^6 - 105*T1^3*T2^6 - 520*T1^4*T2^6 + 
     670*T1^5*T2^6 - 520*T1^6*T2^6 - 105*T1^7*T2^6 + 152*T1^8*T2^6 - 
     119*T1^3*T2^7 + 272*T1^4*T2^7 - 105*T1^5*T2^7 - 105*T1^6*T2^7 + 
     272*T1^7*T2^7 - 119*T1^8*T2^7 + 36*T1^4*T2^8 - 119*T1^5*T2^8 + 
     152*T1^6*T2^8 - 119*T1^7*T2^8 + 36*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[11, NonAlternating, 100] -> {((-2 + T)*(-1 + 2*T)*(1 - 3*T + T^2))/T^2, 
   (1 - 7*T1 + 13*T1^2 - 7*T1^3 + T1^4 - 7*T2 + 40*T1*T2 - 40*T1^2*T2 - 
     40*T1^3*T2 + 40*T1^4*T2 - 7*T1^5*T2 + 13*T2^2 - 40*T1*T2^2 - 
     133*T1^2*T2^2 + 395*T1^3*T2^2 - 133*T1^4*T2^2 - 40*T1^5*T2^2 + 
     13*T1^6*T2^2 - 7*T2^3 - 40*T1*T2^3 + 395*T1^2*T2^3 - 446*T1^3*T2^3 - 
     446*T1^4*T2^3 + 395*T1^5*T2^3 - 40*T1^6*T2^3 - 7*T1^7*T2^3 + T2^4 + 
     40*T1*T2^4 - 133*T1^2*T2^4 - 446*T1^3*T2^4 + 1344*T1^4*T2^4 - 
     446*T1^5*T2^4 - 133*T1^6*T2^4 + 40*T1^7*T2^4 + T1^8*T2^4 - 7*T1*T2^5 - 
     40*T1^2*T2^5 + 395*T1^3*T2^5 - 446*T1^4*T2^5 - 446*T1^5*T2^5 + 
     395*T1^6*T2^5 - 40*T1^7*T2^5 - 7*T1^8*T2^5 + 13*T1^2*T2^6 - 
     40*T1^3*T2^6 - 133*T1^4*T2^6 + 395*T1^5*T2^6 - 133*T1^6*T2^6 - 
     40*T1^7*T2^6 + 13*T1^8*T2^6 - 7*T1^3*T2^7 + 40*T1^4*T2^7 - 
     40*T1^5*T2^7 - 40*T1^6*T2^7 + 40*T1^7*T2^7 - 7*T1^8*T2^7 + T1^4*T2^8 - 
     7*T1^5*T2^8 + 13*T1^6*T2^8 - 7*T1^7*T2^8 + T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[11, NonAlternating, 101] -> 
  {-((2 - 10*T + 15*T^2 - 10*T^3 + 2*T^4)/T^2), 
   (7 - 33*T1 + 49*T1^2 - 33*T1^3 + 7*T1^4 - 33*T2 + 120*T1*T2 - 74*T1^2*T2 - 
     74*T1^3*T2 + 120*T1^4*T2 - 33*T1^5*T2 + 49*T2^2 - 74*T1*T2^2 - 
     281*T1^2*T2^2 + 525*T1^3*T2^2 - 281*T1^4*T2^2 - 74*T1^5*T2^2 + 
     49*T1^6*T2^2 - 33*T2^3 - 74*T1*T2^3 + 525*T1^2*T2^3 - 340*T1^3*T2^3 - 
     340*T1^4*T2^3 + 525*T1^5*T2^3 - 74*T1^6*T2^3 - 33*T1^7*T2^3 + 7*T2^4 + 
     120*T1*T2^4 - 281*T1^2*T2^4 - 340*T1^3*T2^4 + 804*T1^4*T2^4 - 
     340*T1^5*T2^4 - 281*T1^6*T2^4 + 120*T1^7*T2^4 + 7*T1^8*T2^4 - 
     33*T1*T2^5 - 74*T1^2*T2^5 + 525*T1^3*T2^5 - 340*T1^4*T2^5 - 
     340*T1^5*T2^5 + 525*T1^6*T2^5 - 74*T1^7*T2^5 - 33*T1^8*T2^5 + 
     49*T1^2*T2^6 - 74*T1^3*T2^6 - 281*T1^4*T2^6 + 525*T1^5*T2^6 - 
     281*T1^6*T2^6 - 74*T1^7*T2^6 + 49*T1^8*T2^6 - 33*T1^3*T2^7 + 
     120*T1^4*T2^7 - 74*T1^5*T2^7 - 74*T1^6*T2^7 + 120*T1^7*T2^7 - 
     33*T1^8*T2^7 + 7*T1^4*T2^8 - 33*T1^5*T2^8 + 49*T1^6*T2^8 - 
     33*T1^7*T2^8 + 7*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[11, NonAlternating, 102] -> {-((1 - T - T^2 - T^3 + T^4)/T^2), 
   (1 - T1 - T1^2 - T1^3 + T1^4 - T2 - 2*T1*T2 + 4*T1^2*T2 + 4*T1^3*T2 - 
     2*T1^4*T2 - T1^5*T2 - T2^2 + 4*T1*T2^2 - 2*T1^3*T2^2 + 4*T1^5*T2^2 - 
     T1^6*T2^2 - T2^3 + 4*T1*T2^3 - 2*T1^2*T2^3 - 4*T1^3*T2^3 - 4*T1^4*T2^3 - 
     2*T1^5*T2^3 + 4*T1^6*T2^3 - T1^7*T2^3 + T2^4 - 2*T1*T2^4 - 4*T1^3*T2^4 + 
     12*T1^4*T2^4 - 4*T1^5*T2^4 - 2*T1^7*T2^4 + T1^8*T2^4 - T1*T2^5 + 
     4*T1^2*T2^5 - 2*T1^3*T2^5 - 4*T1^4*T2^5 - 4*T1^5*T2^5 - 2*T1^6*T2^5 + 
     4*T1^7*T2^5 - T1^8*T2^5 - T1^2*T2^6 + 4*T1^3*T2^6 - 2*T1^5*T2^6 + 
     4*T1^7*T2^6 - T1^8*T2^6 - T1^3*T2^7 - 2*T1^4*T2^7 + 4*T1^5*T2^7 + 
     4*T1^6*T2^7 - 2*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)/(T1^4*T2^4)}, 
 Knot[11, NonAlternating, 103] -> 
  {-((1 - 7*T + 15*T^2 - 19*T^3 + 15*T^4 - 7*T^5 + T^6)/T^3), 
   (2 - 14*T1 + 30*T1^2 - 38*T1^3 + 30*T1^4 - 14*T1^5 + 2*T1^6 - 14*T2 + 
     84*T1*T2 - 112*T1^2*T2 + 56*T1^3*T2 + 56*T1^4*T2 - 112*T1^5*T2 + 
     84*T1^6*T2 - 14*T1^7*T2 + 30*T2^2 - 112*T1*T2^2 - 178*T1^2*T2^2 + 
     618*T1^3*T2^2 - 866*T1^4*T2^2 + 618*T1^5*T2^2 - 178*T1^6*T2^2 - 
     112*T1^7*T2^2 + 30*T1^8*T2^2 - 38*T2^3 + 56*T1*T2^3 + 618*T1^2*T2^3 - 
     906*T1^3*T2^3 + 488*T1^4*T2^3 + 488*T1^5*T2^3 - 906*T1^6*T2^3 + 
     618*T1^7*T2^3 + 56*T1^8*T2^3 - 38*T1^9*T2^3 + 30*T2^4 + 56*T1*T2^4 - 
     866*T1^2*T2^4 + 488*T1^3*T2^4 + 405*T1^4*T2^4 - 1075*T1^5*T2^4 + 
     405*T1^6*T2^4 + 488*T1^7*T2^4 - 866*T1^8*T2^4 + 56*T1^9*T2^4 + 
     30*T1^10*T2^4 - 14*T2^5 - 112*T1*T2^5 + 618*T1^2*T2^5 + 488*T1^3*T2^5 - 
     1075*T1^4*T2^5 + 708*T1^5*T2^5 + 708*T1^6*T2^5 - 1075*T1^7*T2^5 + 
     488*T1^8*T2^5 + 618*T1^9*T2^5 - 112*T1^10*T2^5 - 14*T1^11*T2^5 + 
     2*T2^6 + 84*T1*T2^6 - 178*T1^2*T2^6 - 906*T1^3*T2^6 + 405*T1^4*T2^6 + 
     708*T1^5*T2^6 - 1608*T1^6*T2^6 + 708*T1^7*T2^6 + 405*T1^8*T2^6 - 
     906*T1^9*T2^6 - 178*T1^10*T2^6 + 84*T1^11*T2^6 + 2*T1^12*T2^6 - 
     14*T1*T2^7 - 112*T1^2*T2^7 + 618*T1^3*T2^7 + 488*T1^4*T2^7 - 
     1075*T1^5*T2^7 + 708*T1^6*T2^7 + 708*T1^7*T2^7 - 1075*T1^8*T2^7 + 
     488*T1^9*T2^7 + 618*T1^10*T2^7 - 112*T1^11*T2^7 - 14*T1^12*T2^7 + 
     30*T1^2*T2^8 + 56*T1^3*T2^8 - 866*T1^4*T2^8 + 488*T1^5*T2^8 + 
     405*T1^6*T2^8 - 1075*T1^7*T2^8 + 405*T1^8*T2^8 + 488*T1^9*T2^8 - 
     866*T1^10*T2^8 + 56*T1^11*T2^8 + 30*T1^12*T2^8 - 38*T1^3*T2^9 + 
     56*T1^4*T2^9 + 618*T1^5*T2^9 - 906*T1^6*T2^9 + 488*T1^7*T2^9 + 
     488*T1^8*T2^9 - 906*T1^9*T2^9 + 618*T1^10*T2^9 + 56*T1^11*T2^9 - 
     38*T1^12*T2^9 + 30*T1^4*T2^10 - 112*T1^5*T2^10 - 178*T1^6*T2^10 + 
     618*T1^7*T2^10 - 866*T1^8*T2^10 + 618*T1^9*T2^10 - 178*T1^10*T2^10 - 
     112*T1^11*T2^10 + 30*T1^12*T2^10 - 14*T1^5*T2^11 + 84*T1^6*T2^11 - 
     112*T1^7*T2^11 + 56*T1^8*T2^11 + 56*T1^9*T2^11 - 112*T1^10*T2^11 + 
     84*T1^11*T2^11 - 14*T1^12*T2^11 + 2*T1^6*T2^12 - 14*T1^7*T2^12 + 
     30*T1^8*T2^12 - 38*T1^9*T2^12 + 30*T1^10*T2^12 - 14*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^6*T2^6)}, 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), 
   -((3 - 9*T1 + 6*T1^2 + 6*T1^3 - 15*T1^4 + 6*T1^5 + 6*T1^6 - 9*T1^7 + 
      3*T1^8 - 9*T2 + 18*T1*T2 + 9*T1^2*T2 - 36*T1^3*T2 + 27*T1^4*T2 + 
      27*T1^5*T2 - 36*T1^6*T2 + 9*T1^7*T2 + 18*T1^8*T2 - 9*T1^9*T2 + 6*T2^2 + 
      9*T1*T2^2 - 62*T1^2*T2^2 + 47*T1^3*T2^2 + 36*T1^4*T2^2 - 
      110*T1^5*T2^2 + 36*T1^6*T2^2 + 47*T1^7*T2^2 - 62*T1^8*T2^2 + 
      9*T1^9*T2^2 + 6*T1^10*T2^2 + 6*T2^3 - 36*T1*T2^3 + 47*T1^2*T2^3 + 
      30*T1^3*T2^3 - 103*T1^4*T2^3 + 69*T1^5*T2^3 + 69*T1^6*T2^3 - 
      103*T1^7*T2^3 + 30*T1^8*T2^3 + 47*T1^9*T2^3 - 36*T1^10*T2^3 + 
      6*T1^11*T2^3 - 15*T2^4 + 27*T1*T2^4 + 36*T1^2*T2^4 - 103*T1^3*T2^4 + 
      74*T1^4*T2^4 + 73*T1^5*T2^4 - 150*T1^6*T2^4 + 73*T1^7*T2^4 + 
      74*T1^8*T2^4 - 103*T1^9*T2^4 + 36*T1^10*T2^4 + 27*T1^11*T2^4 - 
      15*T1^12*T2^4 + 6*T2^5 + 27*T1*T2^5 - 110*T1^2*T2^5 + 69*T1^3*T2^5 + 
      73*T1^4*T2^5 - 200*T1^5*T2^5 + 92*T1^6*T2^5 + 92*T1^7*T2^5 - 
      200*T1^8*T2^5 + 73*T1^9*T2^5 + 69*T1^10*T2^5 - 110*T1^11*T2^5 + 
      27*T1^12*T2^5 + 6*T1^13*T2^5 + 6*T2^6 - 36*T1*T2^6 + 36*T1^2*T2^6 + 
      69*T1^3*T2^6 - 150*T1^4*T2^6 + 92*T1^5*T2^6 + 109*T1^6*T2^6 - 
      197*T1^7*T2^6 + 109*T1^8*T2^6 + 92*T1^9*T2^6 - 150*T1^10*T2^6 + 
      69*T1^11*T2^6 + 36*T1^12*T2^6 - 36*T1^13*T2^6 + 6*T1^14*T2^6 - 9*T2^7 + 
      9*T1*T2^7 + 47*T1^2*T2^7 - 103*T1^3*T2^7 + 73*T1^4*T2^7 + 
      92*T1^5*T2^7 - 197*T1^6*T2^7 + 108*T1^7*T2^7 + 108*T1^8*T2^7 - 
      197*T1^9*T2^7 + 92*T1^10*T2^7 + 73*T1^11*T2^7 - 103*T1^12*T2^7 + 
      47*T1^13*T2^7 + 9*T1^14*T2^7 - 9*T1^15*T2^7 + 3*T2^8 + 18*T1*T2^8 - 
      62*T1^2*T2^8 + 30*T1^3*T2^8 + 74*T1^4*T2^8 - 200*T1^5*T2^8 + 
      109*T1^6*T2^8 + 108*T1^7*T2^8 - 252*T1^8*T2^8 + 108*T1^9*T2^8 + 
      109*T1^10*T2^8 - 200*T1^11*T2^8 + 74*T1^12*T2^8 + 30*T1^13*T2^8 - 
      62*T1^14*T2^8 + 18*T1^15*T2^8 + 3*T1^16*T2^8 - 9*T1*T2^9 + 
      9*T1^2*T2^9 + 47*T1^3*T2^9 - 103*T1^4*T2^9 + 73*T1^5*T2^9 + 
      92*T1^6*T2^9 - 197*T1^7*T2^9 + 108*T1^8*T2^9 + 108*T1^9*T2^9 - 
      197*T1^10*T2^9 + 92*T1^11*T2^9 + 73*T1^12*T2^9 - 103*T1^13*T2^9 + 
      47*T1^14*T2^9 + 9*T1^15*T2^9 - 9*T1^16*T2^9 + 6*T1^2*T2^10 - 
      36*T1^3*T2^10 + 36*T1^4*T2^10 + 69*T1^5*T2^10 - 150*T1^6*T2^10 + 
      92*T1^7*T2^10 + 109*T1^8*T2^10 - 197*T1^9*T2^10 + 109*T1^10*T2^10 + 
      92*T1^11*T2^10 - 150*T1^12*T2^10 + 69*T1^13*T2^10 + 36*T1^14*T2^10 - 
      36*T1^15*T2^10 + 6*T1^16*T2^10 + 6*T1^3*T2^11 + 27*T1^4*T2^11 - 
      110*T1^5*T2^11 + 69*T1^6*T2^11 + 73*T1^7*T2^11 - 200*T1^8*T2^11 + 
      92*T1^9*T2^11 + 92*T1^10*T2^11 - 200*T1^11*T2^11 + 73*T1^12*T2^11 + 
      69*T1^13*T2^11 - 110*T1^14*T2^11 + 27*T1^15*T2^11 + 6*T1^16*T2^11 - 
      15*T1^4*T2^12 + 27*T1^5*T2^12 + 36*T1^6*T2^12 - 103*T1^7*T2^12 + 
      74*T1^8*T2^12 + 73*T1^9*T2^12 - 150*T1^10*T2^12 + 73*T1^11*T2^12 + 
      74*T1^12*T2^12 - 103*T1^13*T2^12 + 36*T1^14*T2^12 + 27*T1^15*T2^12 - 
      15*T1^16*T2^12 + 6*T1^5*T2^13 - 36*T1^6*T2^13 + 47*T1^7*T2^13 + 
      30*T1^8*T2^13 - 103*T1^9*T2^13 + 69*T1^10*T2^13 + 69*T1^11*T2^13 - 
      103*T1^12*T2^13 + 30*T1^13*T2^13 + 47*T1^14*T2^13 - 36*T1^15*T2^13 + 
      6*T1^16*T2^13 + 6*T1^6*T2^14 + 9*T1^7*T2^14 - 62*T1^8*T2^14 + 
      47*T1^9*T2^14 + 36*T1^10*T2^14 - 110*T1^11*T2^14 + 36*T1^12*T2^14 + 
      47*T1^13*T2^14 - 62*T1^14*T2^14 + 9*T1^15*T2^14 + 6*T1^16*T2^14 - 
      9*T1^7*T2^15 + 18*T1^8*T2^15 + 9*T1^9*T2^15 - 36*T1^10*T2^15 + 
      27*T1^11*T2^15 + 27*T1^12*T2^15 - 36*T1^13*T2^15 + 9*T1^14*T2^15 + 
      18*T1^15*T2^15 - 9*T1^16*T2^15 + 3*T1^8*T2^16 - 9*T1^9*T2^16 + 
      6*T1^10*T2^16 + 6*T1^11*T2^16 - 15*T1^12*T2^16 + 6*T1^13*T2^16 + 
      6*T1^14*T2^16 - 9*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[11, NonAlternating, 105] -> 
  {-(((1 - T + T^2)*(1 - 6*T + 9*T^2 - 6*T^3 + T^4))/T^3), 
   -((2 - 14*T1 + 32*T1^2 - 42*T1^3 + 32*T1^4 - 14*T1^5 + 2*T1^6 - 14*T2 + 
      86*T1*T2 - 126*T1^2*T2 + 70*T1^3*T2 + 70*T1^4*T2 - 126*T1^5*T2 + 
      86*T1^6*T2 - 14*T1^7*T2 + 32*T2^2 - 126*T1*T2^2 - 171*T1^2*T2^2 + 
      718*T1^3*T2^2 - 1091*T1^4*T2^2 + 718*T1^5*T2^2 - 171*T1^6*T2^2 - 
      126*T1^7*T2^2 + 32*T1^8*T2^2 - 42*T2^3 + 70*T1*T2^3 + 718*T1^2*T2^3 - 
      1216*T1^3*T2^3 + 765*T1^4*T2^3 + 765*T1^5*T2^3 - 1216*T1^6*T2^3 + 
      718*T1^7*T2^3 + 70*T1^8*T2^3 - 42*T1^9*T2^3 + 32*T2^4 + 70*T1*T2^4 - 
      1091*T1^2*T2^4 + 765*T1^3*T2^4 + 533*T1^4*T2^4 - 1867*T1^5*T2^4 + 
      533*T1^6*T2^4 + 765*T1^7*T2^4 - 1091*T1^8*T2^4 + 70*T1^9*T2^4 + 
      32*T1^10*T2^4 - 14*T2^5 - 126*T1*T2^5 + 718*T1^2*T2^5 + 765*T1^3*T2^5 - 
      1867*T1^4*T2^5 + 1478*T1^5*T2^5 + 1478*T1^6*T2^5 - 1867*T1^7*T2^5 + 
      765*T1^8*T2^5 + 718*T1^9*T2^5 - 126*T1^10*T2^5 - 14*T1^11*T2^5 + 
      2*T2^6 + 86*T1*T2^6 - 171*T1^2*T2^6 - 1216*T1^3*T2^6 + 533*T1^4*T2^6 + 
      1478*T1^5*T2^6 - 3612*T1^6*T2^6 + 1478*T1^7*T2^6 + 533*T1^8*T2^6 - 
      1216*T1^9*T2^6 - 171*T1^10*T2^6 + 86*T1^11*T2^6 + 2*T1^12*T2^6 - 
      14*T1*T2^7 - 126*T1^2*T2^7 + 718*T1^3*T2^7 + 765*T1^4*T2^7 - 
      1867*T1^5*T2^7 + 1478*T1^6*T2^7 + 1478*T1^7*T2^7 - 1867*T1^8*T2^7 + 
      765*T1^9*T2^7 + 718*T1^10*T2^7 - 126*T1^11*T2^7 - 14*T1^12*T2^7 + 
      32*T1^2*T2^8 + 70*T1^3*T2^8 - 1091*T1^4*T2^8 + 765*T1^5*T2^8 + 
      533*T1^6*T2^8 - 1867*T1^7*T2^8 + 533*T1^8*T2^8 + 765*T1^9*T2^8 - 
      1091*T1^10*T2^8 + 70*T1^11*T2^8 + 32*T1^12*T2^8 - 42*T1^3*T2^9 + 
      70*T1^4*T2^9 + 718*T1^5*T2^9 - 1216*T1^6*T2^9 + 765*T1^7*T2^9 + 
      765*T1^8*T2^9 - 1216*T1^9*T2^9 + 718*T1^10*T2^9 + 70*T1^11*T2^9 - 
      42*T1^12*T2^9 + 32*T1^4*T2^10 - 126*T1^5*T2^10 - 171*T1^6*T2^10 + 
      718*T1^7*T2^10 - 1091*T1^8*T2^10 + 718*T1^9*T2^10 - 171*T1^10*T2^10 - 
      126*T1^11*T2^10 + 32*T1^12*T2^10 - 14*T1^5*T2^11 + 86*T1^6*T2^11 - 
      126*T1^7*T2^11 + 70*T1^8*T2^11 + 70*T1^9*T2^11 - 126*T1^10*T2^11 + 
      86*T1^11*T2^11 - 14*T1^12*T2^11 + 2*T1^6*T2^12 - 14*T1^7*T2^12 + 
      32*T1^8*T2^12 - 42*T1^9*T2^12 + 32*T1^10*T2^12 - 14*T1^11*T2^12 + 
      2*T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, NonAlternating, 106] -> 
  {(1 - T + T^2)^3/T^3, -((1 - 3*T1 + 6*T1^2 - 7*T1^3 + 6*T1^4 - 3*T1^5 + 
      T1^6 - 3*T2 + 6*T1*T2 - 9*T1^2*T2 + 3*T1^3*T2 + 3*T1^4*T2 - 9*T1^5*T2 + 
      6*T1^6*T2 - 3*T1^7*T2 + 6*T2^2 - 9*T1*T2^2 + 8*T1^2*T2^2 + 
      12*T1^3*T2^2 - 18*T1^4*T2^2 + 12*T1^5*T2^2 + 8*T1^6*T2^2 - 
      9*T1^7*T2^2 + 6*T1^8*T2^2 - 7*T2^3 + 3*T1*T2^3 + 12*T1^2*T2^3 - 
      38*T1^3*T2^3 + 19*T1^4*T2^3 + 19*T1^5*T2^3 - 38*T1^6*T2^3 + 
      12*T1^7*T2^3 + 3*T1^8*T2^3 - 7*T1^9*T2^3 + 6*T2^4 + 3*T1*T2^4 - 
      18*T1^2*T2^4 + 19*T1^3*T2^4 + 26*T1^4*T2^4 - 60*T1^5*T2^4 + 
      26*T1^6*T2^4 + 19*T1^7*T2^4 - 18*T1^8*T2^4 + 3*T1^9*T2^4 + 
      6*T1^10*T2^4 - 3*T2^5 - 9*T1*T2^5 + 12*T1^2*T2^5 + 19*T1^3*T2^5 - 
      60*T1^4*T2^5 + 46*T1^5*T2^5 + 46*T1^6*T2^5 - 60*T1^7*T2^5 + 
      19*T1^8*T2^5 + 12*T1^9*T2^5 - 9*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 
      6*T1*T2^6 + 8*T1^2*T2^6 - 38*T1^3*T2^6 + 26*T1^4*T2^6 + 46*T1^5*T2^6 - 
      120*T1^6*T2^6 + 46*T1^7*T2^6 + 26*T1^8*T2^6 - 38*T1^9*T2^6 + 
      8*T1^10*T2^6 + 6*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 - 9*T1^2*T2^7 + 
      12*T1^3*T2^7 + 19*T1^4*T2^7 - 60*T1^5*T2^7 + 46*T1^6*T2^7 + 
      46*T1^7*T2^7 - 60*T1^8*T2^7 + 19*T1^9*T2^7 + 12*T1^10*T2^7 - 
      9*T1^11*T2^7 - 3*T1^12*T2^7 + 6*T1^2*T2^8 + 3*T1^3*T2^8 - 
      18*T1^4*T2^8 + 19*T1^5*T2^8 + 26*T1^6*T2^8 - 60*T1^7*T2^8 + 
      26*T1^8*T2^8 + 19*T1^9*T2^8 - 18*T1^10*T2^8 + 3*T1^11*T2^8 + 
      6*T1^12*T2^8 - 7*T1^3*T2^9 + 3*T1^4*T2^9 + 12*T1^5*T2^9 - 
      38*T1^6*T2^9 + 19*T1^7*T2^9 + 19*T1^8*T2^9 - 38*T1^9*T2^9 + 
      12*T1^10*T2^9 + 3*T1^11*T2^9 - 7*T1^12*T2^9 + 6*T1^4*T2^10 - 
      9*T1^5*T2^10 + 8*T1^6*T2^10 + 12*T1^7*T2^10 - 18*T1^8*T2^10 + 
      12*T1^9*T2^10 + 8*T1^10*T2^10 - 9*T1^11*T2^10 + 6*T1^12*T2^10 - 
      3*T1^5*T2^11 + 6*T1^6*T2^11 - 9*T1^7*T2^11 + 3*T1^8*T2^11 + 
      3*T1^9*T2^11 - 9*T1^10*T2^11 + 6*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)/(T1^6*T2^6))}, 
 Knot[11, NonAlternating, 107] -> 
  {((1 - T + T^2)*(1 - 2*T + T^2 + T^3 + T^4 - 2*T^5 + T^6))/T^4, 
   (2 - 6*T1 + 8*T1^2 - 4*T1^3 + 2*T1^4 - 4*T1^5 + 8*T1^6 - 6*T1^7 + 2*T1^8 - 
     6*T2 + 12*T1*T2 - 6*T1^2*T2 - 12*T1^3*T2 + 6*T1^4*T2 + 6*T1^5*T2 - 
     12*T1^6*T2 - 6*T1^7*T2 + 12*T1^8*T2 - 6*T1^9*T2 + 8*T2^2 - 6*T1*T2^2 - 
     13*T1^2*T2^2 + 31*T1^3*T2^2 + 4*T1^4*T2^2 - 13*T1^5*T2^2 + 4*T1^6*T2^2 + 
     31*T1^7*T2^2 - 13*T1^8*T2^2 - 6*T1^9*T2^2 + 8*T1^10*T2^2 - 4*T2^3 - 
     12*T1*T2^3 + 31*T1^2*T2^3 - 20*T1^3*T2^3 - 39*T1^4*T2^3 + 15*T1^5*T2^3 + 
     15*T1^6*T2^3 - 39*T1^7*T2^3 - 20*T1^8*T2^3 + 31*T1^9*T2^3 - 
     12*T1^10*T2^3 - 4*T1^11*T2^3 + 2*T2^4 + 6*T1*T2^4 + 4*T1^2*T2^4 - 
     39*T1^3*T2^4 + 67*T1^4*T2^4 - 4*T1^5*T2^4 - 15*T1^6*T2^4 - 4*T1^7*T2^4 + 
     67*T1^8*T2^4 - 39*T1^9*T2^4 + 4*T1^10*T2^4 + 6*T1^11*T2^4 + 
     2*T1^12*T2^4 - 4*T2^5 + 6*T1*T2^5 - 13*T1^2*T2^5 + 15*T1^3*T2^5 - 
     4*T1^4*T2^5 - 30*T1^5*T2^5 + 14*T1^6*T2^5 + 14*T1^7*T2^5 - 
     30*T1^8*T2^5 - 4*T1^9*T2^5 + 15*T1^10*T2^5 - 13*T1^11*T2^5 + 
     6*T1^12*T2^5 - 4*T1^13*T2^5 + 8*T2^6 - 12*T1*T2^6 + 4*T1^2*T2^6 + 
     15*T1^3*T2^6 - 15*T1^4*T2^6 + 14*T1^5*T2^6 - 9*T1^6*T2^6 + T1^7*T2^6 - 
     9*T1^8*T2^6 + 14*T1^9*T2^6 - 15*T1^10*T2^6 + 15*T1^11*T2^6 + 
     4*T1^12*T2^6 - 12*T1^13*T2^6 + 8*T1^14*T2^6 - 6*T2^7 - 6*T1*T2^7 + 
     31*T1^2*T2^7 - 39*T1^3*T2^7 - 4*T1^4*T2^7 + 14*T1^5*T2^7 + T1^6*T2^7 + 
     4*T1^7*T2^7 + 4*T1^8*T2^7 + T1^9*T2^7 + 14*T1^10*T2^7 - 4*T1^11*T2^7 - 
     39*T1^12*T2^7 + 31*T1^13*T2^7 - 6*T1^14*T2^7 - 6*T1^15*T2^7 + 2*T2^8 + 
     12*T1*T2^8 - 13*T1^2*T2^8 - 20*T1^3*T2^8 + 67*T1^4*T2^8 - 30*T1^5*T2^8 - 
     9*T1^6*T2^8 + 4*T1^7*T2^8 - 12*T1^8*T2^8 + 4*T1^9*T2^8 - 9*T1^10*T2^8 - 
     30*T1^11*T2^8 + 67*T1^12*T2^8 - 20*T1^13*T2^8 - 13*T1^14*T2^8 + 
     12*T1^15*T2^8 + 2*T1^16*T2^8 - 6*T1*T2^9 - 6*T1^2*T2^9 + 31*T1^3*T2^9 - 
     39*T1^4*T2^9 - 4*T1^5*T2^9 + 14*T1^6*T2^9 + T1^7*T2^9 + 4*T1^8*T2^9 + 
     4*T1^9*T2^9 + T1^10*T2^9 + 14*T1^11*T2^9 - 4*T1^12*T2^9 - 
     39*T1^13*T2^9 + 31*T1^14*T2^9 - 6*T1^15*T2^9 - 6*T1^16*T2^9 + 
     8*T1^2*T2^10 - 12*T1^3*T2^10 + 4*T1^4*T2^10 + 15*T1^5*T2^10 - 
     15*T1^6*T2^10 + 14*T1^7*T2^10 - 9*T1^8*T2^10 + T1^9*T2^10 - 
     9*T1^10*T2^10 + 14*T1^11*T2^10 - 15*T1^12*T2^10 + 15*T1^13*T2^10 + 
     4*T1^14*T2^10 - 12*T1^15*T2^10 + 8*T1^16*T2^10 - 4*T1^3*T2^11 + 
     6*T1^4*T2^11 - 13*T1^5*T2^11 + 15*T1^6*T2^11 - 4*T1^7*T2^11 - 
     30*T1^8*T2^11 + 14*T1^9*T2^11 + 14*T1^10*T2^11 - 30*T1^11*T2^11 - 
     4*T1^12*T2^11 + 15*T1^13*T2^11 - 13*T1^14*T2^11 + 6*T1^15*T2^11 - 
     4*T1^16*T2^11 + 2*T1^4*T2^12 + 6*T1^5*T2^12 + 4*T1^6*T2^12 - 
     39*T1^7*T2^12 + 67*T1^8*T2^12 - 4*T1^9*T2^12 - 15*T1^10*T2^12 - 
     4*T1^11*T2^12 + 67*T1^12*T2^12 - 39*T1^13*T2^12 + 4*T1^14*T2^12 + 
     6*T1^15*T2^12 + 2*T1^16*T2^12 - 4*T1^5*T2^13 - 12*T1^6*T2^13 + 
     31*T1^7*T2^13 - 20*T1^8*T2^13 - 39*T1^9*T2^13 + 15*T1^10*T2^13 + 
     15*T1^11*T2^13 - 39*T1^12*T2^13 - 20*T1^13*T2^13 + 31*T1^14*T2^13 - 
     12*T1^15*T2^13 - 4*T1^16*T2^13 + 8*T1^6*T2^14 - 6*T1^7*T2^14 - 
     13*T1^8*T2^14 + 31*T1^9*T2^14 + 4*T1^10*T2^14 - 13*T1^11*T2^14 + 
     4*T1^12*T2^14 + 31*T1^13*T2^14 - 13*T1^14*T2^14 - 6*T1^15*T2^14 + 
     8*T1^16*T2^14 - 6*T1^7*T2^15 + 12*T1^8*T2^15 - 6*T1^9*T2^15 - 
     12*T1^10*T2^15 + 6*T1^11*T2^15 + 6*T1^12*T2^15 - 12*T1^13*T2^15 - 
     6*T1^14*T2^15 + 12*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)/
    (T1^8*T2^8)}, Knot[11, NonAlternating, 108] -> 
  {-((1 - 8*T + 17*T^2 - 21*T^3 + 17*T^4 - 8*T^5 + T^6)/T^3), 
   (2 - 16*T1 + 34*T1^2 - 42*T1^3 + 34*T1^4 - 16*T1^5 + 2*T1^6 - 16*T2 + 
     114*T1*T2 - 139*T1^2*T2 + 59*T1^3*T2 + 59*T1^4*T2 - 139*T1^5*T2 + 
     114*T1^6*T2 - 16*T1^7*T2 + 34*T2^2 - 139*T1*T2^2 - 471*T1^2*T2^2 + 
     1258*T1^3*T2^2 - 1585*T1^4*T2^2 + 1258*T1^5*T2^2 - 471*T1^6*T2^2 - 
     139*T1^7*T2^2 + 34*T1^8*T2^2 - 42*T2^3 + 59*T1*T2^3 + 1258*T1^2*T2^3 - 
     1632*T1^3*T2^3 + 701*T1^4*T2^3 + 701*T1^5*T2^3 - 1632*T1^6*T2^3 + 
     1258*T1^7*T2^3 + 59*T1^8*T2^3 - 42*T1^9*T2^3 + 34*T2^4 + 59*T1*T2^4 - 
     1585*T1^2*T2^4 + 701*T1^3*T2^4 + 793*T1^4*T2^4 - 1395*T1^5*T2^4 + 
     793*T1^6*T2^4 + 701*T1^7*T2^4 - 1585*T1^8*T2^4 + 59*T1^9*T2^4 + 
     34*T1^10*T2^4 - 16*T2^5 - 139*T1*T2^5 + 1258*T1^2*T2^5 + 701*T1^3*T2^5 - 
     1395*T1^4*T2^5 + 616*T1^5*T2^5 + 616*T1^6*T2^5 - 1395*T1^7*T2^5 + 
     701*T1^8*T2^5 + 1258*T1^9*T2^5 - 139*T1^10*T2^5 - 16*T1^11*T2^5 + 
     2*T2^6 + 114*T1*T2^6 - 471*T1^2*T2^6 - 1632*T1^3*T2^6 + 793*T1^4*T2^6 + 
     616*T1^5*T2^6 - 1164*T1^6*T2^6 + 616*T1^7*T2^6 + 793*T1^8*T2^6 - 
     1632*T1^9*T2^6 - 471*T1^10*T2^6 + 114*T1^11*T2^6 + 2*T1^12*T2^6 - 
     16*T1*T2^7 - 139*T1^2*T2^7 + 1258*T1^3*T2^7 + 701*T1^4*T2^7 - 
     1395*T1^5*T2^7 + 616*T1^6*T2^7 + 616*T1^7*T2^7 - 1395*T1^8*T2^7 + 
     701*T1^9*T2^7 + 1258*T1^10*T2^7 - 139*T1^11*T2^7 - 16*T1^12*T2^7 + 
     34*T1^2*T2^8 + 59*T1^3*T2^8 - 1585*T1^4*T2^8 + 701*T1^5*T2^8 + 
     793*T1^6*T2^8 - 1395*T1^7*T2^8 + 793*T1^8*T2^8 + 701*T1^9*T2^8 - 
     1585*T1^10*T2^8 + 59*T1^11*T2^8 + 34*T1^12*T2^8 - 42*T1^3*T2^9 + 
     59*T1^4*T2^9 + 1258*T1^5*T2^9 - 1632*T1^6*T2^9 + 701*T1^7*T2^9 + 
     701*T1^8*T2^9 - 1632*T1^9*T2^9 + 1258*T1^10*T2^9 + 59*T1^11*T2^9 - 
     42*T1^12*T2^9 + 34*T1^4*T2^10 - 139*T1^5*T2^10 - 471*T1^6*T2^10 + 
     1258*T1^7*T2^10 - 1585*T1^8*T2^10 + 1258*T1^9*T2^10 - 471*T1^10*T2^10 - 
     139*T1^11*T2^10 + 34*T1^12*T2^10 - 16*T1^5*T2^11 + 114*T1^6*T2^11 - 
     139*T1^7*T2^11 + 59*T1^8*T2^11 + 59*T1^9*T2^11 - 139*T1^10*T2^11 + 
     114*T1^11*T2^11 - 16*T1^12*T2^11 + 2*T1^6*T2^12 - 16*T1^7*T2^12 + 
     34*T1^8*T2^12 - 42*T1^9*T2^12 + 34*T1^10*T2^12 - 16*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, NonAlternating, 109] -> 
  {-((1 - 7*T + 13*T^2 - 15*T^3 + 13*T^4 - 7*T^5 + T^6)/T^3), 
   (2 - 14*T1 + 26*T1^2 - 30*T1^3 + 26*T1^4 - 14*T1^5 + 2*T1^6 - 14*T2 + 
     86*T1*T2 - 81*T1^2*T2 + 25*T1^3*T2 + 25*T1^4*T2 - 81*T1^5*T2 + 
     86*T1^6*T2 - 14*T1^7*T2 + 26*T2^2 - 81*T1*T2^2 - 368*T1^2*T2^2 + 
     760*T1^3*T2^2 - 846*T1^4*T2^2 + 760*T1^5*T2^2 - 368*T1^6*T2^2 - 
     81*T1^7*T2^2 + 26*T1^8*T2^2 - 30*T2^3 + 25*T1*T2^3 + 760*T1^2*T2^3 - 
     716*T1^3*T2^3 + 195*T1^4*T2^3 + 195*T1^5*T2^3 - 716*T1^6*T2^3 + 
     760*T1^7*T2^3 + 25*T1^8*T2^3 - 30*T1^9*T2^3 + 26*T2^4 + 25*T1*T2^4 - 
     846*T1^2*T2^4 + 195*T1^3*T2^4 + 262*T1^4*T2^4 - 172*T1^5*T2^4 + 
     262*T1^6*T2^4 + 195*T1^7*T2^4 - 846*T1^8*T2^4 + 25*T1^9*T2^4 + 
     26*T1^10*T2^4 - 14*T2^5 - 81*T1*T2^5 + 760*T1^2*T2^5 + 195*T1^3*T2^5 - 
     172*T1^4*T2^5 - 102*T1^5*T2^5 - 102*T1^6*T2^5 - 172*T1^7*T2^5 + 
     195*T1^8*T2^5 + 760*T1^9*T2^5 - 81*T1^10*T2^5 - 14*T1^11*T2^5 + 2*T2^6 + 
     86*T1*T2^6 - 368*T1^2*T2^6 - 716*T1^3*T2^6 + 262*T1^4*T2^6 - 
     102*T1^5*T2^6 + 372*T1^6*T2^6 - 102*T1^7*T2^6 + 262*T1^8*T2^6 - 
     716*T1^9*T2^6 - 368*T1^10*T2^6 + 86*T1^11*T2^6 + 2*T1^12*T2^6 - 
     14*T1*T2^7 - 81*T1^2*T2^7 + 760*T1^3*T2^7 + 195*T1^4*T2^7 - 
     172*T1^5*T2^7 - 102*T1^6*T2^7 - 102*T1^7*T2^7 - 172*T1^8*T2^7 + 
     195*T1^9*T2^7 + 760*T1^10*T2^7 - 81*T1^11*T2^7 - 14*T1^12*T2^7 + 
     26*T1^2*T2^8 + 25*T1^3*T2^8 - 846*T1^4*T2^8 + 195*T1^5*T2^8 + 
     262*T1^6*T2^8 - 172*T1^7*T2^8 + 262*T1^8*T2^8 + 195*T1^9*T2^8 - 
     846*T1^10*T2^8 + 25*T1^11*T2^8 + 26*T1^12*T2^8 - 30*T1^3*T2^9 + 
     25*T1^4*T2^9 + 760*T1^5*T2^9 - 716*T1^6*T2^9 + 195*T1^7*T2^9 + 
     195*T1^8*T2^9 - 716*T1^9*T2^9 + 760*T1^10*T2^9 + 25*T1^11*T2^9 - 
     30*T1^12*T2^9 + 26*T1^4*T2^10 - 81*T1^5*T2^10 - 368*T1^6*T2^10 + 
     760*T1^7*T2^10 - 846*T1^8*T2^10 + 760*T1^9*T2^10 - 368*T1^10*T2^10 - 
     81*T1^11*T2^10 + 26*T1^12*T2^10 - 14*T1^5*T2^11 + 86*T1^6*T2^11 - 
     81*T1^7*T2^11 + 25*T1^8*T2^11 + 25*T1^9*T2^11 - 81*T1^10*T2^11 + 
     86*T1^11*T2^11 - 14*T1^12*T2^11 + 2*T1^6*T2^12 - 14*T1^7*T2^12 + 
     26*T1^8*T2^12 - 30*T1^9*T2^12 + 26*T1^10*T2^12 - 14*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, NonAlternating, 110] -> 
  {-((1 - 4*T + 9*T^2 - 13*T^3 + 9*T^4 - 4*T^5 + T^6)/T^3), 
   -((9 - 30*T1 + 37*T1^2 - 30*T1^3 + 9*T1^4 - 30*T2 + 70*T1*T2 - 
      22*T1^2*T2 - 22*T1^3*T2 + 70*T1^4*T2 - 30*T1^5*T2 + 37*T2^2 - 
      22*T1*T2^2 - 143*T1^2*T2^2 + 143*T1^3*T2^2 - 143*T1^4*T2^2 - 
      22*T1^5*T2^2 + 37*T1^6*T2^2 - 30*T2^3 - 22*T1*T2^3 + 143*T1^2*T2^3 + 
      14*T1^3*T2^3 + 14*T1^4*T2^3 + 143*T1^5*T2^3 - 22*T1^6*T2^3 - 
      30*T1^7*T2^3 + 9*T2^4 + 70*T1*T2^4 - 143*T1^2*T2^4 + 14*T1^3*T2^4 - 
      156*T1^4*T2^4 + 14*T1^5*T2^4 - 143*T1^6*T2^4 + 70*T1^7*T2^4 + 
      9*T1^8*T2^4 - 30*T1*T2^5 - 22*T1^2*T2^5 + 143*T1^3*T2^5 + 
      14*T1^4*T2^5 + 14*T1^5*T2^5 + 143*T1^6*T2^5 - 22*T1^7*T2^5 - 
      30*T1^8*T2^5 + 37*T1^2*T2^6 - 22*T1^3*T2^6 - 143*T1^4*T2^6 + 
      143*T1^5*T2^6 - 143*T1^6*T2^6 - 22*T1^7*T2^6 + 37*T1^8*T2^6 - 
      30*T1^3*T2^7 + 70*T1^4*T2^7 - 22*T1^5*T2^7 - 22*T1^6*T2^7 + 
      70*T1^7*T2^7 - 30*T1^8*T2^7 + 9*T1^4*T2^8 - 30*T1^5*T2^8 + 
      37*T1^6*T2^8 - 30*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[11, NonAlternating, 111] -> 
  {-((1 - T - 3*T^2 + 5*T^3 - 3*T^4 - T^5 + T^6)/T^3), 
   -((2 - 2*T1 - 6*T1^2 + 10*T1^3 - 6*T1^4 - 2*T1^5 + 2*T1^6 - 2*T2 - 
      2*T1*T2 + 13*T1^2*T2 - 6*T1^3*T2 - 6*T1^4*T2 + 13*T1^5*T2 - 2*T1^6*T2 - 
      2*T1^7*T2 - 6*T2^2 + 13*T1*T2^2 + T1^2*T2^2 - 31*T1^3*T2^2 + 
      45*T1^4*T2^2 - 31*T1^5*T2^2 + T1^6*T2^2 + 13*T1^7*T2^2 - 6*T1^8*T2^2 + 
      10*T2^3 - 6*T1*T2^3 - 31*T1^2*T2^3 + 44*T1^3*T2^3 - 21*T1^4*T2^3 - 
      21*T1^5*T2^3 + 44*T1^6*T2^3 - 31*T1^7*T2^3 - 6*T1^8*T2^3 + 
      10*T1^9*T2^3 - 6*T2^4 - 6*T1*T2^4 + 45*T1^2*T2^4 - 21*T1^3*T2^4 - 
      68*T1^4*T2^4 + 108*T1^5*T2^4 - 68*T1^6*T2^4 - 21*T1^7*T2^4 + 
      45*T1^8*T2^4 - 6*T1^9*T2^4 - 6*T1^10*T2^4 - 2*T2^5 + 13*T1*T2^5 - 
      31*T1^2*T2^5 - 21*T1^3*T2^5 + 108*T1^4*T2^5 - 52*T1^5*T2^5 - 
      52*T1^6*T2^5 + 108*T1^7*T2^5 - 21*T1^8*T2^5 - 31*T1^9*T2^5 + 
      13*T1^10*T2^5 - 2*T1^11*T2^5 + 2*T2^6 - 2*T1*T2^6 + T1^2*T2^6 + 
      44*T1^3*T2^6 - 68*T1^4*T2^6 - 52*T1^5*T2^6 + 108*T1^6*T2^6 - 
      52*T1^7*T2^6 - 68*T1^8*T2^6 + 44*T1^9*T2^6 + T1^10*T2^6 - 
      2*T1^11*T2^6 + 2*T1^12*T2^6 - 2*T1*T2^7 + 13*T1^2*T2^7 - 31*T1^3*T2^7 - 
      21*T1^4*T2^7 + 108*T1^5*T2^7 - 52*T1^6*T2^7 - 52*T1^7*T2^7 + 
      108*T1^8*T2^7 - 21*T1^9*T2^7 - 31*T1^10*T2^7 + 13*T1^11*T2^7 - 
      2*T1^12*T2^7 - 6*T1^2*T2^8 - 6*T1^3*T2^8 + 45*T1^4*T2^8 - 
      21*T1^5*T2^8 - 68*T1^6*T2^8 + 108*T1^7*T2^8 - 68*T1^8*T2^8 - 
      21*T1^9*T2^8 + 45*T1^10*T2^8 - 6*T1^11*T2^8 - 6*T1^12*T2^8 + 
      10*T1^3*T2^9 - 6*T1^4*T2^9 - 31*T1^5*T2^9 + 44*T1^6*T2^9 - 
      21*T1^7*T2^9 - 21*T1^8*T2^9 + 44*T1^9*T2^9 - 31*T1^10*T2^9 - 
      6*T1^11*T2^9 + 10*T1^12*T2^9 - 6*T1^4*T2^10 + 13*T1^5*T2^10 + 
      T1^6*T2^10 - 31*T1^7*T2^10 + 45*T1^8*T2^10 - 31*T1^9*T2^10 + 
      T1^10*T2^10 + 13*T1^11*T2^10 - 6*T1^12*T2^10 - 2*T1^5*T2^11 - 
      2*T1^6*T2^11 + 13*T1^7*T2^11 - 6*T1^8*T2^11 - 6*T1^9*T2^11 + 
      13*T1^10*T2^11 - 2*T1^11*T2^11 - 2*T1^12*T2^11 + 2*T1^6*T2^12 - 
      2*T1^7*T2^12 - 6*T1^8*T2^12 + 10*T1^9*T2^12 - 6*T1^10*T2^12 - 
      2*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, NonAlternating, 112] -> 
  {(1 - 5*T + 13*T^2 - 17*T^3 + 13*T^4 - 5*T^5 + T^6)/T^3, 
   (1 - 5*T1 + 13*T1^2 - 17*T1^3 + 13*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 41*T1^2*T2 + 20*T1^3*T2 + 20*T1^4*T2 - 41*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 13*T2^2 - 41*T1*T2^2 + 64*T1^2*T2^2 + 
     36*T1^3*T2^2 - 80*T1^4*T2^2 + 36*T1^5*T2^2 + 64*T1^6*T2^2 - 
     41*T1^7*T2^2 + 13*T1^8*T2^2 - 17*T2^3 + 20*T1*T2^3 + 36*T1^2*T2^3 - 
     260*T1^3*T2^3 + 120*T1^4*T2^3 + 120*T1^5*T2^3 - 260*T1^6*T2^3 + 
     36*T1^7*T2^3 + 20*T1^8*T2^3 - 17*T1^9*T2^3 + 13*T2^4 + 20*T1*T2^4 - 
     80*T1^2*T2^4 + 120*T1^3*T2^4 + 545*T1^4*T2^4 - 803*T1^5*T2^4 + 
     545*T1^6*T2^4 + 120*T1^7*T2^4 - 80*T1^8*T2^4 + 20*T1^9*T2^4 + 
     13*T1^10*T2^4 - 5*T2^5 - 41*T1*T2^5 + 36*T1^2*T2^5 + 120*T1^3*T2^5 - 
     803*T1^4*T2^5 + 360*T1^5*T2^5 + 360*T1^6*T2^5 - 803*T1^7*T2^5 + 
     120*T1^8*T2^5 + 36*T1^9*T2^5 - 41*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 + 64*T1^2*T2^6 - 260*T1^3*T2^6 + 545*T1^4*T2^6 + 
     360*T1^5*T2^6 - 696*T1^6*T2^6 + 360*T1^7*T2^6 + 545*T1^8*T2^6 - 
     260*T1^9*T2^6 + 64*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     41*T1^2*T2^7 + 36*T1^3*T2^7 + 120*T1^4*T2^7 - 803*T1^5*T2^7 + 
     360*T1^6*T2^7 + 360*T1^7*T2^7 - 803*T1^8*T2^7 + 120*T1^9*T2^7 + 
     36*T1^10*T2^7 - 41*T1^11*T2^7 - 5*T1^12*T2^7 + 13*T1^2*T2^8 + 
     20*T1^3*T2^8 - 80*T1^4*T2^8 + 120*T1^5*T2^8 + 545*T1^6*T2^8 - 
     803*T1^7*T2^8 + 545*T1^8*T2^8 + 120*T1^9*T2^8 - 80*T1^10*T2^8 + 
     20*T1^11*T2^8 + 13*T1^12*T2^8 - 17*T1^3*T2^9 + 20*T1^4*T2^9 + 
     36*T1^5*T2^9 - 260*T1^6*T2^9 + 120*T1^7*T2^9 + 120*T1^8*T2^9 - 
     260*T1^9*T2^9 + 36*T1^10*T2^9 + 20*T1^11*T2^9 - 17*T1^12*T2^9 + 
     13*T1^4*T2^10 - 41*T1^5*T2^10 + 64*T1^6*T2^10 + 36*T1^7*T2^10 - 
     80*T1^8*T2^10 + 36*T1^9*T2^10 + 64*T1^10*T2^10 - 41*T1^11*T2^10 + 
     13*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 41*T1^7*T2^11 + 
     20*T1^8*T2^11 + 20*T1^9*T2^11 - 41*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 13*T1^8*T2^12 - 
     17*T1^9*T2^12 + 13*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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 + 92*T1*T2 - 67*T1^2*T2 - 
     67*T1^3*T2 + 92*T1^4*T2 - 9*T1^5*T2 + 15*T2^2 - 67*T1*T2^2 - 
     718*T1^2*T2^2 + 1334*T1^3*T2^2 - 718*T1^4*T2^2 - 67*T1^5*T2^2 + 
     15*T1^6*T2^2 - 9*T2^3 - 67*T1*T2^3 + 1334*T1^2*T2^3 - 994*T1^3*T2^3 - 
     994*T1^4*T2^3 + 1334*T1^5*T2^3 - 67*T1^6*T2^3 - 9*T1^7*T2^3 + T2^4 + 
     92*T1*T2^4 - 718*T1^2*T2^4 - 994*T1^3*T2^4 + 2532*T1^4*T2^4 - 
     994*T1^5*T2^4 - 718*T1^6*T2^4 + 92*T1^7*T2^4 + T1^8*T2^4 - 9*T1*T2^5 - 
     67*T1^2*T2^5 + 1334*T1^3*T2^5 - 994*T1^4*T2^5 - 994*T1^5*T2^5 + 
     1334*T1^6*T2^5 - 67*T1^7*T2^5 - 9*T1^8*T2^5 + 15*T1^2*T2^6 - 
     67*T1^3*T2^6 - 718*T1^4*T2^6 + 1334*T1^5*T2^6 - 718*T1^6*T2^6 - 
     67*T1^7*T2^6 + 15*T1^8*T2^6 - 9*T1^3*T2^7 + 92*T1^4*T2^7 - 
     67*T1^5*T2^7 - 67*T1^6*T2^7 + 92*T1^7*T2^7 - 9*T1^8*T2^7 + T1^4*T2^8 - 
     9*T1^5*T2^8 + 15*T1^6*T2^8 - 9*T1^7*T2^8 + T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[11, NonAlternating, 114] -> {(3 - 13*T + 21*T^2 - 13*T^3 + 3*T^4)/T^2, 
   (3 - 12*T1 + 19*T1^2 - 12*T1^3 + 3*T1^4 - 12*T2 + 36*T1*T2 - 30*T1^2*T2 - 
     30*T1^3*T2 + 36*T1^4*T2 - 12*T1^5*T2 + 19*T2^2 - 30*T1*T2^2 - 
     31*T1^2*T2^2 + 131*T1^3*T2^2 - 31*T1^4*T2^2 - 30*T1^5*T2^2 + 
     19*T1^6*T2^2 - 12*T2^3 - 30*T1*T2^3 + 131*T1^2*T2^3 - 136*T1^3*T2^3 - 
     136*T1^4*T2^3 + 131*T1^5*T2^3 - 30*T1^6*T2^3 - 12*T1^7*T2^3 + 3*T2^4 + 
     36*T1*T2^4 - 31*T1^2*T2^4 - 136*T1^3*T2^4 + 372*T1^4*T2^4 - 
     136*T1^5*T2^4 - 31*T1^6*T2^4 + 36*T1^7*T2^4 + 3*T1^8*T2^4 - 12*T1*T2^5 - 
     30*T1^2*T2^5 + 131*T1^3*T2^5 - 136*T1^4*T2^5 - 136*T1^5*T2^5 + 
     131*T1^6*T2^5 - 30*T1^7*T2^5 - 12*T1^8*T2^5 + 19*T1^2*T2^6 - 
     30*T1^3*T2^6 - 31*T1^4*T2^6 + 131*T1^5*T2^6 - 31*T1^6*T2^6 - 
     30*T1^7*T2^6 + 19*T1^8*T2^6 - 12*T1^3*T2^7 + 36*T1^4*T2^7 - 
     30*T1^5*T2^7 - 30*T1^6*T2^7 + 36*T1^7*T2^7 - 12*T1^8*T2^7 + 
     3*T1^4*T2^8 - 12*T1^5*T2^8 + 19*T1^6*T2^8 - 12*T1^7*T2^8 + 3*T1^8*T2^8)/
    (T1^4*T2^4)}, Knot[11, NonAlternating, 115] -> 
  {-((1 - 6*T + 18*T^2 - 27*T^3 + 18*T^4 - 6*T^5 + T^6)/T^3), 
   (5 - 11*T1 + 9*T1^2 - 11*T1^3 + 5*T1^4 - 11*T2 + 22*T1^2*T2 + 22*T1^3*T2 - 
     11*T1^5*T2 + 9*T2^2 + 22*T1*T2^2 + 27*T1^2*T2^2 - 187*T1^3*T2^2 + 
     27*T1^4*T2^2 + 22*T1^5*T2^2 + 9*T1^6*T2^2 - 11*T2^3 + 22*T1*T2^3 - 
     187*T1^2*T2^3 + 242*T1^3*T2^3 + 242*T1^4*T2^3 - 187*T1^5*T2^3 + 
     22*T1^6*T2^3 - 11*T1^7*T2^3 + 5*T2^4 + 27*T1^2*T2^4 + 242*T1^3*T2^4 - 
     708*T1^4*T2^4 + 242*T1^5*T2^4 + 27*T1^6*T2^4 + 5*T1^8*T2^4 - 
     11*T1*T2^5 + 22*T1^2*T2^5 - 187*T1^3*T2^5 + 242*T1^4*T2^5 + 
     242*T1^5*T2^5 - 187*T1^6*T2^5 + 22*T1^7*T2^5 - 11*T1^8*T2^5 + 
     9*T1^2*T2^6 + 22*T1^3*T2^6 + 27*T1^4*T2^6 - 187*T1^5*T2^6 + 
     27*T1^6*T2^6 + 22*T1^7*T2^6 + 9*T1^8*T2^6 - 11*T1^3*T2^7 + 
     22*T1^5*T2^7 + 22*T1^6*T2^7 - 11*T1^8*T2^7 + 5*T1^4*T2^8 - 
     11*T1^5*T2^8 + 9*T1^6*T2^8 - 11*T1^7*T2^8 + 5*T1^8*T2^8)/(T1^4*T2^4)}, 
 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 + 5*T1^2*T2^2 - 13*T1^3*T2^2 + 5*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 + 
     5*T1^2*T2^4 + 8*T1^3*T2^4 - 24*T1^4*T2^4 + 8*T1^5*T2^4 + 5*T1^6*T2^4 - 
     4*T1^7*T2^4 + 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 + 
     5*T1^4*T2^6 - 13*T1^5*T2^6 + 5*T1^6*T2^6 + 5*T1^7*T2^6 - 3*T1^8*T2^6 - 
     4*T1^4*T2^7 + 5*T1^5*T2^7 + 5*T1^6*T2^7 - 4*T1^7*T2^7 + T1^4*T2^8 - 
     3*T1^6*T2^8 + T1^8*T2^8)/(T1^4*T2^4)}, Knot[11, NonAlternating, 117] -> 
  {-((3 - 9*T + 11*T^2 - 9*T^3 + 3*T^4)/T^2), 
   -((24 - 69*T1 + 82*T1^2 - 69*T1^3 + 24*T1^4 - 69*T2 + 130*T1*T2 - 
      40*T1^2*T2 - 40*T1^3*T2 + 130*T1^4*T2 - 69*T1^5*T2 + 82*T2^2 - 
      40*T1*T2^2 - 226*T1^2*T2^2 + 282*T1^3*T2^2 - 226*T1^4*T2^2 - 
      40*T1^5*T2^2 + 82*T1^6*T2^2 - 69*T2^3 - 40*T1*T2^3 + 282*T1^2*T2^3 - 
      124*T1^3*T2^3 - 124*T1^4*T2^3 + 282*T1^5*T2^3 - 40*T1^6*T2^3 - 
      69*T1^7*T2^3 + 24*T2^4 + 130*T1*T2^4 - 226*T1^2*T2^4 - 124*T1^3*T2^4 + 
      300*T1^4*T2^4 - 124*T1^5*T2^4 - 226*T1^6*T2^4 + 130*T1^7*T2^4 + 
      24*T1^8*T2^4 - 69*T1*T2^5 - 40*T1^2*T2^5 + 282*T1^3*T2^5 - 
      124*T1^4*T2^5 - 124*T1^5*T2^5 + 282*T1^6*T2^5 - 40*T1^7*T2^5 - 
      69*T1^8*T2^5 + 82*T1^2*T2^6 - 40*T1^3*T2^6 - 226*T1^4*T2^6 + 
      282*T1^5*T2^6 - 226*T1^6*T2^6 - 40*T1^7*T2^6 + 82*T1^8*T2^6 - 
      69*T1^3*T2^7 + 130*T1^4*T2^7 - 40*T1^5*T2^7 - 40*T1^6*T2^7 + 
      130*T1^7*T2^7 - 69*T1^8*T2^7 + 24*T1^4*T2^8 - 69*T1^5*T2^8 + 
      82*T1^6*T2^8 - 69*T1^7*T2^8 + 24*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[11, NonAlternating, 118] -> 
  {-((1 - 4*T + 4*T^2 - 3*T^3 + 4*T^4 - 4*T^5 + T^6)/T^3), 
   -((2 - 8*T1 + 8*T1^2 - 6*T1^3 + 8*T1^4 - 8*T1^5 + 2*T1^6 - 8*T2 + 
      24*T1*T2 + 2*T1^2*T2 - 9*T1^3*T2 - 9*T1^4*T2 + 2*T1^5*T2 + 24*T1^6*T2 - 
      8*T1^7*T2 + 8*T2^2 + 2*T1*T2^2 - 96*T1^2*T2^2 + 75*T1^3*T2^2 - 
      32*T1^4*T2^2 + 75*T1^5*T2^2 - 96*T1^6*T2^2 + 2*T1^7*T2^2 + 
      8*T1^8*T2^2 - 6*T2^3 - 9*T1*T2^3 + 75*T1^2*T2^3 + 14*T1^3*T2^3 - 
      34*T1^4*T2^3 - 34*T1^5*T2^3 + 14*T1^6*T2^3 + 75*T1^7*T2^3 - 
      9*T1^8*T2^3 - 6*T1^9*T2^3 + 8*T2^4 - 9*T1*T2^4 - 32*T1^2*T2^4 - 
      34*T1^3*T2^4 + 18*T1^4*T2^4 + 12*T1^5*T2^4 + 18*T1^6*T2^4 - 
      34*T1^7*T2^4 - 32*T1^8*T2^4 - 9*T1^9*T2^4 + 8*T1^10*T2^4 - 8*T2^5 + 
      2*T1*T2^5 + 75*T1^2*T2^5 - 34*T1^3*T2^5 + 12*T1^4*T2^5 + 2*T1^5*T2^5 + 
      2*T1^6*T2^5 + 12*T1^7*T2^5 - 34*T1^8*T2^5 + 75*T1^9*T2^5 + 
      2*T1^10*T2^5 - 8*T1^11*T2^5 + 2*T2^6 + 24*T1*T2^6 - 96*T1^2*T2^6 + 
      14*T1^3*T2^6 + 18*T1^4*T2^6 + 2*T1^5*T2^6 - 36*T1^6*T2^6 + 
      2*T1^7*T2^6 + 18*T1^8*T2^6 + 14*T1^9*T2^6 - 96*T1^10*T2^6 + 
      24*T1^11*T2^6 + 2*T1^12*T2^6 - 8*T1*T2^7 + 2*T1^2*T2^7 + 75*T1^3*T2^7 - 
      34*T1^4*T2^7 + 12*T1^5*T2^7 + 2*T1^6*T2^7 + 2*T1^7*T2^7 + 
      12*T1^8*T2^7 - 34*T1^9*T2^7 + 75*T1^10*T2^7 + 2*T1^11*T2^7 - 
      8*T1^12*T2^7 + 8*T1^2*T2^8 - 9*T1^3*T2^8 - 32*T1^4*T2^8 - 
      34*T1^5*T2^8 + 18*T1^6*T2^8 + 12*T1^7*T2^8 + 18*T1^8*T2^8 - 
      34*T1^9*T2^8 - 32*T1^10*T2^8 - 9*T1^11*T2^8 + 8*T1^12*T2^8 - 
      6*T1^3*T2^9 - 9*T1^4*T2^9 + 75*T1^5*T2^9 + 14*T1^6*T2^9 - 
      34*T1^7*T2^9 - 34*T1^8*T2^9 + 14*T1^9*T2^9 + 75*T1^10*T2^9 - 
      9*T1^11*T2^9 - 6*T1^12*T2^9 + 8*T1^4*T2^10 + 2*T1^5*T2^10 - 
      96*T1^6*T2^10 + 75*T1^7*T2^10 - 32*T1^8*T2^10 + 75*T1^9*T2^10 - 
      96*T1^10*T2^10 + 2*T1^11*T2^10 + 8*T1^12*T2^10 - 8*T1^5*T2^11 + 
      24*T1^6*T2^11 + 2*T1^7*T2^11 - 9*T1^8*T2^11 - 9*T1^9*T2^11 + 
      2*T1^10*T2^11 + 24*T1^11*T2^11 - 8*T1^12*T2^11 + 2*T1^6*T2^12 - 
      8*T1^7*T2^12 + 8*T1^8*T2^12 - 6*T1^9*T2^12 + 8*T1^10*T2^12 - 
      8*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, NonAlternating, 119] -> 
  {-((1 - 6*T + 16*T^2 - 23*T^3 + 16*T^4 - 6*T^5 + T^6)/T^3), 
   (T1^2 + T1^3 + T1*T2 - 10*T1^2*T2 + T1^3*T2 - 10*T1^4*T2 + T1^5*T2 + 
     T2^2 - 10*T1*T2^2 + 36*T1^2*T2^2 + 11*T1^3*T2^2 + 11*T1^4*T2^2 + 
     36*T1^5*T2^2 - 10*T1^6*T2^2 + T1^7*T2^2 + T2^3 + T1*T2^3 + 
     11*T1^2*T2^3 - 154*T1^3*T2^3 + 72*T1^4*T2^3 - 154*T1^5*T2^3 + 
     11*T1^6*T2^3 + T1^7*T2^3 + T1^8*T2^3 - 10*T1*T2^4 + 11*T1^2*T2^4 + 
     72*T1^3*T2^4 + 118*T1^4*T2^4 + 118*T1^5*T2^4 + 72*T1^6*T2^4 + 
     11*T1^7*T2^4 - 10*T1^8*T2^4 + T1*T2^5 + 36*T1^2*T2^5 - 154*T1^3*T2^5 + 
     118*T1^4*T2^5 - 468*T1^5*T2^5 + 118*T1^6*T2^5 - 154*T1^7*T2^5 + 
     36*T1^8*T2^5 + T1^9*T2^5 - 10*T1^2*T2^6 + 11*T1^3*T2^6 + 72*T1^4*T2^6 + 
     118*T1^5*T2^6 + 118*T1^6*T2^6 + 72*T1^7*T2^6 + 11*T1^8*T2^6 - 
     10*T1^9*T2^6 + T1^2*T2^7 + T1^3*T2^7 + 11*T1^4*T2^7 - 154*T1^5*T2^7 + 
     72*T1^6*T2^7 - 154*T1^7*T2^7 + 11*T1^8*T2^7 + T1^9*T2^7 + T1^10*T2^7 + 
     T1^3*T2^8 - 10*T1^4*T2^8 + 36*T1^5*T2^8 + 11*T1^6*T2^8 + 11*T1^7*T2^8 + 
     36*T1^8*T2^8 - 10*T1^9*T2^8 + T1^10*T2^8 + T1^5*T2^9 - 10*T1^6*T2^9 + 
     T1^7*T2^9 - 10*T1^8*T2^9 + T1^9*T2^9 + T1^7*T2^10 + T1^8*T2^10)/
    (T1^5*T2^5)}, 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), 
   -((1 - 4*T1 + 7*T1^2 - 8*T1^3 + 7*T1^4 - 8*T1^5 + 7*T1^6 - 4*T1^7 + T1^8 - 
      4*T2 + 12*T1*T2 - 12*T1^2*T2 + 4*T1^3*T2 + 4*T1^4*T2 + 4*T1^5*T2 + 
      4*T1^6*T2 - 12*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 7*T2^2 - 12*T1*T2^2 - 
      7*T1^2*T2^2 + 25*T1^3*T2^2 - 28*T1^4*T2^2 - T1^5*T2^2 - 28*T1^6*T2^2 + 
      25*T1^7*T2^2 - 7*T1^8*T2^2 - 12*T1^9*T2^2 + 7*T1^10*T2^2 - 8*T2^3 + 
      4*T1*T2^3 + 25*T1^2*T2^3 - 22*T1^3*T2^3 + 7*T1^4*T2^3 + 32*T1^5*T2^3 + 
      32*T1^6*T2^3 + 7*T1^7*T2^3 - 22*T1^8*T2^3 + 25*T1^9*T2^3 + 
      4*T1^10*T2^3 - 8*T1^11*T2^3 + 7*T2^4 + 4*T1*T2^4 - 28*T1^2*T2^4 + 
      7*T1^3*T2^4 - 7*T1^4*T2^4 - 7*T1^5*T2^4 - 75*T1^6*T2^4 - 7*T1^7*T2^4 - 
      7*T1^8*T2^4 + 7*T1^9*T2^4 - 28*T1^10*T2^4 + 4*T1^11*T2^4 + 
      7*T1^12*T2^4 - 8*T2^5 + 4*T1*T2^5 - T1^2*T2^5 + 32*T1^3*T2^5 - 
      7*T1^4*T2^5 + 46*T1^6*T2^5 + 46*T1^7*T2^5 - 7*T1^9*T2^5 + 
      32*T1^10*T2^5 - T1^11*T2^5 + 4*T1^12*T2^5 - 8*T1^13*T2^5 + 7*T2^6 + 
      4*T1*T2^6 - 28*T1^2*T2^6 + 32*T1^3*T2^6 - 75*T1^4*T2^6 + 46*T1^5*T2^6 - 
      38*T1^6*T2^6 + 4*T1^7*T2^6 - 38*T1^8*T2^6 + 46*T1^9*T2^6 - 
      75*T1^10*T2^6 + 32*T1^11*T2^6 - 28*T1^12*T2^6 + 4*T1^13*T2^6 + 
      7*T1^14*T2^6 - 4*T2^7 - 12*T1*T2^7 + 25*T1^2*T2^7 + 7*T1^3*T2^7 - 
      7*T1^4*T2^7 + 46*T1^5*T2^7 + 4*T1^6*T2^7 - 26*T1^7*T2^7 - 
      26*T1^8*T2^7 + 4*T1^9*T2^7 + 46*T1^10*T2^7 - 7*T1^11*T2^7 + 
      7*T1^12*T2^7 + 25*T1^13*T2^7 - 12*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 
      12*T1*T2^8 - 7*T1^2*T2^8 - 22*T1^3*T2^8 - 7*T1^4*T2^8 - 38*T1^6*T2^8 - 
      26*T1^7*T2^8 + 120*T1^8*T2^8 - 26*T1^9*T2^8 - 38*T1^10*T2^8 - 
      7*T1^12*T2^8 - 22*T1^13*T2^8 - 7*T1^14*T2^8 + 12*T1^15*T2^8 + 
      T1^16*T2^8 - 4*T1*T2^9 - 12*T1^2*T2^9 + 25*T1^3*T2^9 + 7*T1^4*T2^9 - 
      7*T1^5*T2^9 + 46*T1^6*T2^9 + 4*T1^7*T2^9 - 26*T1^8*T2^9 - 
      26*T1^9*T2^9 + 4*T1^10*T2^9 + 46*T1^11*T2^9 - 7*T1^12*T2^9 + 
      7*T1^13*T2^9 + 25*T1^14*T2^9 - 12*T1^15*T2^9 - 4*T1^16*T2^9 + 
      7*T1^2*T2^10 + 4*T1^3*T2^10 - 28*T1^4*T2^10 + 32*T1^5*T2^10 - 
      75*T1^6*T2^10 + 46*T1^7*T2^10 - 38*T1^8*T2^10 + 4*T1^9*T2^10 - 
      38*T1^10*T2^10 + 46*T1^11*T2^10 - 75*T1^12*T2^10 + 32*T1^13*T2^10 - 
      28*T1^14*T2^10 + 4*T1^15*T2^10 + 7*T1^16*T2^10 - 8*T1^3*T2^11 + 
      4*T1^4*T2^11 - T1^5*T2^11 + 32*T1^6*T2^11 - 7*T1^7*T2^11 + 
      46*T1^9*T2^11 + 46*T1^10*T2^11 - 7*T1^12*T2^11 + 32*T1^13*T2^11 - 
      T1^14*T2^11 + 4*T1^15*T2^11 - 8*T1^16*T2^11 + 7*T1^4*T2^12 + 
      4*T1^5*T2^12 - 28*T1^6*T2^12 + 7*T1^7*T2^12 - 7*T1^8*T2^12 - 
      7*T1^9*T2^12 - 75*T1^10*T2^12 - 7*T1^11*T2^12 - 7*T1^12*T2^12 + 
      7*T1^13*T2^12 - 28*T1^14*T2^12 + 4*T1^15*T2^12 + 7*T1^16*T2^12 - 
      8*T1^5*T2^13 + 4*T1^6*T2^13 + 25*T1^7*T2^13 - 22*T1^8*T2^13 + 
      7*T1^9*T2^13 + 32*T1^10*T2^13 + 32*T1^11*T2^13 + 7*T1^12*T2^13 - 
      22*T1^13*T2^13 + 25*T1^14*T2^13 + 4*T1^15*T2^13 - 8*T1^16*T2^13 + 
      7*T1^6*T2^14 - 12*T1^7*T2^14 - 7*T1^8*T2^14 + 25*T1^9*T2^14 - 
      28*T1^10*T2^14 - T1^11*T2^14 - 28*T1^12*T2^14 + 25*T1^13*T2^14 - 
      7*T1^14*T2^14 - 12*T1^15*T2^14 + 7*T1^16*T2^14 - 4*T1^7*T2^15 + 
      12*T1^8*T2^15 - 12*T1^9*T2^15 + 4*T1^10*T2^15 + 4*T1^11*T2^15 + 
      4*T1^12*T2^15 + 4*T1^13*T2^15 - 12*T1^14*T2^15 + 12*T1^15*T2^15 - 
      4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 7*T1^10*T2^16 - 
      8*T1^11*T2^16 + 7*T1^12*T2^16 - 8*T1^13*T2^16 + 7*T1^14*T2^16 - 
      4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[11, NonAlternating, 121] -> 
  {-((1 - 6*T + 10*T^2 - 11*T^3 + 10*T^4 - 6*T^5 + T^6)/T^3), 
   (2 - 12*T1 + 20*T1^2 - 22*T1^3 + 20*T1^4 - 12*T1^5 + 2*T1^6 - 12*T2 + 
     60*T1*T2 - 48*T1^2*T2 + 12*T1^3*T2 + 12*T1^4*T2 - 48*T1^5*T2 + 
     60*T1^6*T2 - 12*T1^7*T2 + 20*T2^2 - 48*T1*T2^2 - 195*T1^2*T2^2 + 
     347*T1^3*T2^2 - 355*T1^4*T2^2 + 347*T1^5*T2^2 - 195*T1^6*T2^2 - 
     48*T1^7*T2^2 + 20*T1^8*T2^2 - 22*T2^3 + 12*T1*T2^3 + 347*T1^2*T2^3 - 
     250*T1^3*T2^3 + 38*T1^4*T2^3 + 38*T1^5*T2^3 - 250*T1^6*T2^3 + 
     347*T1^7*T2^3 + 12*T1^8*T2^3 - 22*T1^9*T2^3 + 20*T2^4 + 12*T1*T2^4 - 
     355*T1^2*T2^4 + 38*T1^3*T2^4 + 141*T1^4*T2^4 - 103*T1^5*T2^4 + 
     141*T1^6*T2^4 + 38*T1^7*T2^4 - 355*T1^8*T2^4 + 12*T1^9*T2^4 + 
     20*T1^10*T2^4 - 12*T2^5 - 48*T1*T2^5 + 347*T1^2*T2^5 + 38*T1^3*T2^5 - 
     103*T1^4*T2^5 + 16*T1^5*T2^5 + 16*T1^6*T2^5 - 103*T1^7*T2^5 + 
     38*T1^8*T2^5 + 347*T1^9*T2^5 - 48*T1^10*T2^5 - 12*T1^11*T2^5 + 2*T2^6 + 
     60*T1*T2^6 - 195*T1^2*T2^6 - 250*T1^3*T2^6 + 141*T1^4*T2^6 + 
     16*T1^5*T2^6 - 48*T1^6*T2^6 + 16*T1^7*T2^6 + 141*T1^8*T2^6 - 
     250*T1^9*T2^6 - 195*T1^10*T2^6 + 60*T1^11*T2^6 + 2*T1^12*T2^6 - 
     12*T1*T2^7 - 48*T1^2*T2^7 + 347*T1^3*T2^7 + 38*T1^4*T2^7 - 
     103*T1^5*T2^7 + 16*T1^6*T2^7 + 16*T1^7*T2^7 - 103*T1^8*T2^7 + 
     38*T1^9*T2^7 + 347*T1^10*T2^7 - 48*T1^11*T2^7 - 12*T1^12*T2^7 + 
     20*T1^2*T2^8 + 12*T1^3*T2^8 - 355*T1^4*T2^8 + 38*T1^5*T2^8 + 
     141*T1^6*T2^8 - 103*T1^7*T2^8 + 141*T1^8*T2^8 + 38*T1^9*T2^8 - 
     355*T1^10*T2^8 + 12*T1^11*T2^8 + 20*T1^12*T2^8 - 22*T1^3*T2^9 + 
     12*T1^4*T2^9 + 347*T1^5*T2^9 - 250*T1^6*T2^9 + 38*T1^7*T2^9 + 
     38*T1^8*T2^9 - 250*T1^9*T2^9 + 347*T1^10*T2^9 + 12*T1^11*T2^9 - 
     22*T1^12*T2^9 + 20*T1^4*T2^10 - 48*T1^5*T2^10 - 195*T1^6*T2^10 + 
     347*T1^7*T2^10 - 355*T1^8*T2^10 + 347*T1^9*T2^10 - 195*T1^10*T2^10 - 
     48*T1^11*T2^10 + 20*T1^12*T2^10 - 12*T1^5*T2^11 + 60*T1^6*T2^11 - 
     48*T1^7*T2^11 + 12*T1^8*T2^11 + 12*T1^9*T2^11 - 48*T1^10*T2^11 + 
     60*T1^11*T2^11 - 12*T1^12*T2^11 + 2*T1^6*T2^12 - 12*T1^7*T2^12 + 
     20*T1^8*T2^12 - 22*T1^9*T2^12 + 20*T1^10*T2^12 - 12*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, NonAlternating, 122] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2))/T^2), 
   (11 - 39*T1 + 49*T1^2 - 39*T1^3 + 11*T1^4 - 39*T2 + 100*T1*T2 - 
     36*T1^2*T2 - 36*T1^3*T2 + 100*T1^4*T2 - 39*T1^5*T2 + 49*T2^2 - 
     36*T1*T2^2 - 226*T1^2*T2^2 + 284*T1^3*T2^2 - 226*T1^4*T2^2 - 
     36*T1^5*T2^2 + 49*T1^6*T2^2 - 39*T2^3 - 36*T1*T2^3 + 284*T1^2*T2^3 - 
     90*T1^3*T2^3 - 90*T1^4*T2^3 + 284*T1^5*T2^3 - 36*T1^6*T2^3 - 
     39*T1^7*T2^3 + 11*T2^4 + 100*T1*T2^4 - 226*T1^2*T2^4 - 90*T1^3*T2^4 + 
     132*T1^4*T2^4 - 90*T1^5*T2^4 - 226*T1^6*T2^4 + 100*T1^7*T2^4 + 
     11*T1^8*T2^4 - 39*T1*T2^5 - 36*T1^2*T2^5 + 284*T1^3*T2^5 - 
     90*T1^4*T2^5 - 90*T1^5*T2^5 + 284*T1^6*T2^5 - 36*T1^7*T2^5 - 
     39*T1^8*T2^5 + 49*T1^2*T2^6 - 36*T1^3*T2^6 - 226*T1^4*T2^6 + 
     284*T1^5*T2^6 - 226*T1^6*T2^6 - 36*T1^7*T2^6 + 49*T1^8*T2^6 - 
     39*T1^3*T2^7 + 100*T1^4*T2^7 - 36*T1^5*T2^7 - 36*T1^6*T2^7 + 
     100*T1^7*T2^7 - 39*T1^8*T2^7 + 11*T1^4*T2^8 - 39*T1^5*T2^8 + 
     49*T1^6*T2^8 - 39*T1^7*T2^8 + 11*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[11, NonAlternating, 123] -> {(3 - 14*T + 23*T^2 - 14*T^3 + 3*T^4)/T^2, 
   -((3 - 19*T1 + 35*T1^2 - 19*T1^3 + 3*T1^4 - 19*T2 + 92*T1*T2 - 
      89*T1^2*T2 - 89*T1^3*T2 + 92*T1^4*T2 - 19*T1^5*T2 + 35*T2^2 - 
      89*T1*T2^2 - 236*T1^2*T2^2 + 726*T1^3*T2^2 - 236*T1^4*T2^2 - 
      89*T1^5*T2^2 + 35*T1^6*T2^2 - 19*T2^3 - 89*T1*T2^3 + 726*T1^2*T2^3 - 
      792*T1^3*T2^3 - 792*T1^4*T2^3 + 726*T1^5*T2^3 - 89*T1^6*T2^3 - 
      19*T1^7*T2^3 + 3*T2^4 + 92*T1*T2^4 - 236*T1^2*T2^4 - 792*T1^3*T2^4 + 
      2328*T1^4*T2^4 - 792*T1^5*T2^4 - 236*T1^6*T2^4 + 92*T1^7*T2^4 + 
      3*T1^8*T2^4 - 19*T1*T2^5 - 89*T1^2*T2^5 + 726*T1^3*T2^5 - 
      792*T1^4*T2^5 - 792*T1^5*T2^5 + 726*T1^6*T2^5 - 89*T1^7*T2^5 - 
      19*T1^8*T2^5 + 35*T1^2*T2^6 - 89*T1^3*T2^6 - 236*T1^4*T2^6 + 
      726*T1^5*T2^6 - 236*T1^6*T2^6 - 89*T1^7*T2^6 + 35*T1^8*T2^6 - 
      19*T1^3*T2^7 + 92*T1^4*T2^7 - 89*T1^5*T2^7 - 89*T1^6*T2^7 + 
      92*T1^7*T2^7 - 19*T1^8*T2^7 + 3*T1^4*T2^8 - 19*T1^5*T2^8 + 
      35*T1^6*T2^8 - 19*T1^7*T2^8 + 3*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[11, NonAlternating, 124] -> 
  {(1 - 6*T + 14*T^2 - 17*T^3 + 14*T^4 - 6*T^5 + T^6)/T^3, 
   (1 - 6*T1 + 14*T1^2 - 17*T1^3 + 14*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     30*T1*T2 - 48*T1^2*T2 + 18*T1^3*T2 + 18*T1^4*T2 - 48*T1^5*T2 + 
     30*T1^6*T2 - 6*T1^7*T2 + 14*T2^2 - 48*T1*T2^2 - 3*T1^2*T2^2 + 
     173*T1^3*T2^2 - 213*T1^4*T2^2 + 173*T1^5*T2^2 - 3*T1^6*T2^2 - 
     48*T1^7*T2^2 + 14*T1^8*T2^2 - 17*T2^3 + 18*T1*T2^3 + 173*T1^2*T2^3 - 
     388*T1^3*T2^3 + 135*T1^4*T2^3 + 135*T1^5*T2^3 - 388*T1^6*T2^3 + 
     173*T1^7*T2^3 + 18*T1^8*T2^3 - 17*T1^9*T2^3 + 14*T2^4 + 18*T1*T2^4 - 
     213*T1^2*T2^4 + 135*T1^3*T2^4 + 573*T1^4*T2^4 - 793*T1^5*T2^4 + 
     573*T1^6*T2^4 + 135*T1^7*T2^4 - 213*T1^8*T2^4 + 18*T1^9*T2^4 + 
     14*T1^10*T2^4 - 6*T2^5 - 48*T1*T2^5 + 173*T1^2*T2^5 + 135*T1^3*T2^5 - 
     793*T1^4*T2^5 + 388*T1^5*T2^5 + 388*T1^6*T2^5 - 793*T1^7*T2^5 + 
     135*T1^8*T2^5 + 173*T1^9*T2^5 - 48*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     30*T1*T2^6 - 3*T1^2*T2^6 - 388*T1^3*T2^6 + 573*T1^4*T2^6 + 
     388*T1^5*T2^6 - 900*T1^6*T2^6 + 388*T1^7*T2^6 + 573*T1^8*T2^6 - 
     388*T1^9*T2^6 - 3*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
     48*T1^2*T2^7 + 173*T1^3*T2^7 + 135*T1^4*T2^7 - 793*T1^5*T2^7 + 
     388*T1^6*T2^7 + 388*T1^7*T2^7 - 793*T1^8*T2^7 + 135*T1^9*T2^7 + 
     173*T1^10*T2^7 - 48*T1^11*T2^7 - 6*T1^12*T2^7 + 14*T1^2*T2^8 + 
     18*T1^3*T2^8 - 213*T1^4*T2^8 + 135*T1^5*T2^8 + 573*T1^6*T2^8 - 
     793*T1^7*T2^8 + 573*T1^8*T2^8 + 135*T1^9*T2^8 - 213*T1^10*T2^8 + 
     18*T1^11*T2^8 + 14*T1^12*T2^8 - 17*T1^3*T2^9 + 18*T1^4*T2^9 + 
     173*T1^5*T2^9 - 388*T1^6*T2^9 + 135*T1^7*T2^9 + 135*T1^8*T2^9 - 
     388*T1^9*T2^9 + 173*T1^10*T2^9 + 18*T1^11*T2^9 - 17*T1^12*T2^9 + 
     14*T1^4*T2^10 - 48*T1^5*T2^10 - 3*T1^6*T2^10 + 173*T1^7*T2^10 - 
     213*T1^8*T2^10 + 173*T1^9*T2^10 - 3*T1^10*T2^10 - 48*T1^11*T2^10 + 
     14*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 48*T1^7*T2^11 + 
     18*T1^8*T2^11 + 18*T1^9*T2^11 - 48*T1^10*T2^11 + 30*T1^11*T2^11 - 
     6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 14*T1^8*T2^12 - 
     17*T1^9*T2^12 + 14*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, NonAlternating, 125] -> 
  {((1 - T + T^2)*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^3, 
   (1 - 6*T1 + 15*T1^2 - 19*T1^3 + 15*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     30*T1*T2 - 54*T1^2*T2 + 23*T1^3*T2 + 23*T1^4*T2 - 54*T1^5*T2 + 
     30*T1^6*T2 - 6*T1^7*T2 + 15*T2^2 - 54*T1*T2^2 + 26*T1^2*T2^2 + 
     164*T1^3*T2^2 - 220*T1^4*T2^2 + 164*T1^5*T2^2 + 26*T1^6*T2^2 - 
     54*T1^7*T2^2 + 15*T1^8*T2^2 - 19*T2^3 + 23*T1*T2^3 + 164*T1^2*T2^3 - 
     474*T1^3*T2^3 + 170*T1^4*T2^3 + 170*T1^5*T2^3 - 474*T1^6*T2^3 + 
     164*T1^7*T2^3 + 23*T1^8*T2^3 - 19*T1^9*T2^3 + 15*T2^4 + 23*T1*T2^4 - 
     220*T1^2*T2^4 + 170*T1^3*T2^4 + 843*T1^4*T2^4 - 1077*T1^5*T2^4 + 
     843*T1^6*T2^4 + 170*T1^7*T2^4 - 220*T1^8*T2^4 + 23*T1^9*T2^4 + 
     15*T1^10*T2^4 - 6*T2^5 - 54*T1*T2^5 + 164*T1^2*T2^5 + 170*T1^3*T2^5 - 
     1077*T1^4*T2^5 + 358*T1^5*T2^5 + 358*T1^6*T2^5 - 1077*T1^7*T2^5 + 
     170*T1^8*T2^5 + 164*T1^9*T2^5 - 54*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     30*T1*T2^6 + 26*T1^2*T2^6 - 474*T1^3*T2^6 + 843*T1^4*T2^6 + 
     358*T1^5*T2^6 - 552*T1^6*T2^6 + 358*T1^7*T2^6 + 843*T1^8*T2^6 - 
     474*T1^9*T2^6 + 26*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
     54*T1^2*T2^7 + 164*T1^3*T2^7 + 170*T1^4*T2^7 - 1077*T1^5*T2^7 + 
     358*T1^6*T2^7 + 358*T1^7*T2^7 - 1077*T1^8*T2^7 + 170*T1^9*T2^7 + 
     164*T1^10*T2^7 - 54*T1^11*T2^7 - 6*T1^12*T2^7 + 15*T1^2*T2^8 + 
     23*T1^3*T2^8 - 220*T1^4*T2^8 + 170*T1^5*T2^8 + 843*T1^6*T2^8 - 
     1077*T1^7*T2^8 + 843*T1^8*T2^8 + 170*T1^9*T2^8 - 220*T1^10*T2^8 + 
     23*T1^11*T2^8 + 15*T1^12*T2^8 - 19*T1^3*T2^9 + 23*T1^4*T2^9 + 
     164*T1^5*T2^9 - 474*T1^6*T2^9 + 170*T1^7*T2^9 + 170*T1^8*T2^9 - 
     474*T1^9*T2^9 + 164*T1^10*T2^9 + 23*T1^11*T2^9 - 19*T1^12*T2^9 + 
     15*T1^4*T2^10 - 54*T1^5*T2^10 + 26*T1^6*T2^10 + 164*T1^7*T2^10 - 
     220*T1^8*T2^10 + 164*T1^9*T2^10 + 26*T1^10*T2^10 - 54*T1^11*T2^10 + 
     15*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 54*T1^7*T2^11 + 
     23*T1^8*T2^11 + 23*T1^9*T2^11 - 54*T1^10*T2^11 + 30*T1^11*T2^11 - 
     6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 15*T1^8*T2^12 - 
     19*T1^9*T2^12 + 15*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, NonAlternating, 126] -> 
  {(3 - 6*T + 4*T^2 - T^3 + 4*T^4 - 6*T^5 + 3*T^6)/T^3, 
   (84 - 165*T1 + 108*T1^2 - 24*T1^3 + 108*T1^4 - 165*T1^5 + 84*T1^6 - 
     165*T2 + 160*T1*T2 + 113*T1^2*T2 - 166*T1^3*T2 - 166*T1^4*T2 + 
     113*T1^5*T2 + 160*T1^6*T2 - 165*T1^7*T2 + 108*T2^2 + 113*T1*T2^2 - 
     399*T1^2*T2^2 + 179*T1^3*T2^2 + 185*T1^4*T2^2 + 179*T1^5*T2^2 - 
     399*T1^6*T2^2 + 113*T1^7*T2^2 + 108*T1^8*T2^2 - 24*T2^3 - 166*T1*T2^3 + 
     179*T1^2*T2^3 + 132*T1^3*T2^3 - 201*T1^4*T2^3 - 201*T1^5*T2^3 + 
     132*T1^6*T2^3 + 179*T1^7*T2^3 - 166*T1^8*T2^3 - 24*T1^9*T2^3 + 
     108*T2^4 - 166*T1*T2^4 + 185*T1^2*T2^4 - 201*T1^3*T2^4 + 208*T1^4*T2^4 - 
     154*T1^5*T2^4 + 208*T1^6*T2^4 - 201*T1^7*T2^4 + 185*T1^8*T2^4 - 
     166*T1^9*T2^4 + 108*T1^10*T2^4 - 165*T2^5 + 113*T1*T2^5 + 
     179*T1^2*T2^5 - 201*T1^3*T2^5 - 154*T1^4*T2^5 + 150*T1^5*T2^5 + 
     150*T1^6*T2^5 - 154*T1^7*T2^5 - 201*T1^8*T2^5 + 179*T1^9*T2^5 + 
     113*T1^10*T2^5 - 165*T1^11*T2^5 + 84*T2^6 + 160*T1*T2^6 - 
     399*T1^2*T2^6 + 132*T1^3*T2^6 + 208*T1^4*T2^6 + 150*T1^5*T2^6 - 
     468*T1^6*T2^6 + 150*T1^7*T2^6 + 208*T1^8*T2^6 + 132*T1^9*T2^6 - 
     399*T1^10*T2^6 + 160*T1^11*T2^6 + 84*T1^12*T2^6 - 165*T1*T2^7 + 
     113*T1^2*T2^7 + 179*T1^3*T2^7 - 201*T1^4*T2^7 - 154*T1^5*T2^7 + 
     150*T1^6*T2^7 + 150*T1^7*T2^7 - 154*T1^8*T2^7 - 201*T1^9*T2^7 + 
     179*T1^10*T2^7 + 113*T1^11*T2^7 - 165*T1^12*T2^7 + 108*T1^2*T2^8 - 
     166*T1^3*T2^8 + 185*T1^4*T2^8 - 201*T1^5*T2^8 + 208*T1^6*T2^8 - 
     154*T1^7*T2^8 + 208*T1^8*T2^8 - 201*T1^9*T2^8 + 185*T1^10*T2^8 - 
     166*T1^11*T2^8 + 108*T1^12*T2^8 - 24*T1^3*T2^9 - 166*T1^4*T2^9 + 
     179*T1^5*T2^9 + 132*T1^6*T2^9 - 201*T1^7*T2^9 - 201*T1^8*T2^9 + 
     132*T1^9*T2^9 + 179*T1^10*T2^9 - 166*T1^11*T2^9 - 24*T1^12*T2^9 + 
     108*T1^4*T2^10 + 113*T1^5*T2^10 - 399*T1^6*T2^10 + 179*T1^7*T2^10 + 
     185*T1^8*T2^10 + 179*T1^9*T2^10 - 399*T1^10*T2^10 + 113*T1^11*T2^10 + 
     108*T1^12*T2^10 - 165*T1^5*T2^11 + 160*T1^6*T2^11 + 113*T1^7*T2^11 - 
     166*T1^8*T2^11 - 166*T1^9*T2^11 + 113*T1^10*T2^11 + 160*T1^11*T2^11 - 
     165*T1^12*T2^11 + 84*T1^6*T2^12 - 165*T1^7*T2^12 + 108*T1^8*T2^12 - 
     24*T1^9*T2^12 + 108*T1^10*T2^12 - 165*T1^11*T2^12 + 84*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, NonAlternating, 127] -> 
  {(1 - 5*T + 13*T^2 - 17*T^3 + 13*T^4 - 5*T^5 + T^6)/T^3, 
   -((1 - 5*T1 + 13*T1^2 - 17*T1^3 + 13*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
      20*T1*T2 - 40*T1^2*T2 + 20*T1^3*T2 + 20*T1^4*T2 - 40*T1^5*T2 + 
      20*T1^6*T2 - 5*T1^7*T2 + 13*T2^2 - 40*T1*T2^2 + 74*T1^2*T2^2 - 
      3*T1^3*T2^2 - 28*T1^4*T2^2 - 3*T1^5*T2^2 + 74*T1^6*T2^2 - 
      40*T1^7*T2^2 + 13*T1^8*T2^2 - 17*T2^3 + 20*T1*T2^3 - 3*T1^2*T2^3 - 
      190*T1^3*T2^3 + 80*T1^4*T2^3 + 80*T1^5*T2^3 - 190*T1^6*T2^3 - 
      3*T1^7*T2^3 + 20*T1^8*T2^3 - 17*T1^9*T2^3 + 13*T2^4 + 20*T1*T2^4 - 
      28*T1^2*T2^4 + 80*T1^3*T2^4 + 549*T1^4*T2^4 - 741*T1^5*T2^4 + 
      549*T1^6*T2^4 + 80*T1^7*T2^4 - 28*T1^8*T2^4 + 20*T1^9*T2^4 + 
      13*T1^10*T2^4 - 5*T2^5 - 40*T1*T2^5 - 3*T1^2*T2^5 + 80*T1^3*T2^5 - 
      741*T1^4*T2^5 + 274*T1^5*T2^5 + 274*T1^6*T2^5 - 741*T1^7*T2^5 + 
      80*T1^8*T2^5 - 3*T1^9*T2^5 - 40*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
      20*T1*T2^6 + 74*T1^2*T2^6 - 190*T1^3*T2^6 + 549*T1^4*T2^6 + 
      274*T1^5*T2^6 - 432*T1^6*T2^6 + 274*T1^7*T2^6 + 549*T1^8*T2^6 - 
      190*T1^9*T2^6 + 74*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 
      5*T1*T2^7 - 40*T1^2*T2^7 - 3*T1^3*T2^7 + 80*T1^4*T2^7 - 741*T1^5*T2^7 + 
      274*T1^6*T2^7 + 274*T1^7*T2^7 - 741*T1^8*T2^7 + 80*T1^9*T2^7 - 
      3*T1^10*T2^7 - 40*T1^11*T2^7 - 5*T1^12*T2^7 + 13*T1^2*T2^8 + 
      20*T1^3*T2^8 - 28*T1^4*T2^8 + 80*T1^5*T2^8 + 549*T1^6*T2^8 - 
      741*T1^7*T2^8 + 549*T1^8*T2^8 + 80*T1^9*T2^8 - 28*T1^10*T2^8 + 
      20*T1^11*T2^8 + 13*T1^12*T2^8 - 17*T1^3*T2^9 + 20*T1^4*T2^9 - 
      3*T1^5*T2^9 - 190*T1^6*T2^9 + 80*T1^7*T2^9 + 80*T1^8*T2^9 - 
      190*T1^9*T2^9 - 3*T1^10*T2^9 + 20*T1^11*T2^9 - 17*T1^12*T2^9 + 
      13*T1^4*T2^10 - 40*T1^5*T2^10 + 74*T1^6*T2^10 - 3*T1^7*T2^10 - 
      28*T1^8*T2^10 - 3*T1^9*T2^10 + 74*T1^10*T2^10 - 40*T1^11*T2^10 + 
      13*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 40*T1^7*T2^11 + 
      20*T1^8*T2^11 + 20*T1^9*T2^11 - 40*T1^10*T2^11 + 20*T1^11*T2^11 - 
      5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 13*T1^8*T2^12 - 
      17*T1^9*T2^12 + 13*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[11, NonAlternating, 128] -> 
  {(1 - 5*T + 10*T^2 - 11*T^3 + 10*T^4 - 5*T^5 + T^6)/T^3, 
   (1 - 5*T1 + 10*T1^2 - 11*T1^3 + 10*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 25*T1^2*T2 + 6*T1^3*T2 + 6*T1^4*T2 - 25*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 10*T2^2 - 25*T1*T2^2 - 17*T1^2*T2^2 + 
     93*T1^3*T2^2 - 95*T1^4*T2^2 + 93*T1^5*T2^2 - 17*T1^6*T2^2 - 
     25*T1^7*T2^2 + 10*T1^8*T2^2 - 11*T2^3 + 6*T1*T2^3 + 93*T1^2*T2^3 - 
     144*T1^3*T2^3 + 31*T1^4*T2^3 + 31*T1^5*T2^3 - 144*T1^6*T2^3 + 
     93*T1^7*T2^3 + 6*T1^8*T2^3 - 11*T1^9*T2^3 + 10*T2^4 + 6*T1*T2^4 - 
     95*T1^2*T2^4 + 31*T1^3*T2^4 + 160*T1^4*T2^4 - 172*T1^5*T2^4 + 
     160*T1^6*T2^4 + 31*T1^7*T2^4 - 95*T1^8*T2^4 + 6*T1^9*T2^4 + 
     10*T1^10*T2^4 - 5*T2^5 - 25*T1*T2^5 + 93*T1^2*T2^5 + 31*T1^3*T2^5 - 
     172*T1^4*T2^5 + 64*T1^5*T2^5 + 64*T1^6*T2^5 - 172*T1^7*T2^5 + 
     31*T1^8*T2^5 + 93*T1^9*T2^5 - 25*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 - 17*T1^2*T2^6 - 144*T1^3*T2^6 + 160*T1^4*T2^6 + 
     64*T1^5*T2^6 - 156*T1^6*T2^6 + 64*T1^7*T2^6 + 160*T1^8*T2^6 - 
     144*T1^9*T2^6 - 17*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     25*T1^2*T2^7 + 93*T1^3*T2^7 + 31*T1^4*T2^7 - 172*T1^5*T2^7 + 
     64*T1^6*T2^7 + 64*T1^7*T2^7 - 172*T1^8*T2^7 + 31*T1^9*T2^7 + 
     93*T1^10*T2^7 - 25*T1^11*T2^7 - 5*T1^12*T2^7 + 10*T1^2*T2^8 + 
     6*T1^3*T2^8 - 95*T1^4*T2^8 + 31*T1^5*T2^8 + 160*T1^6*T2^8 - 
     172*T1^7*T2^8 + 160*T1^8*T2^8 + 31*T1^9*T2^8 - 95*T1^10*T2^8 + 
     6*T1^11*T2^8 + 10*T1^12*T2^8 - 11*T1^3*T2^9 + 6*T1^4*T2^9 + 
     93*T1^5*T2^9 - 144*T1^6*T2^9 + 31*T1^7*T2^9 + 31*T1^8*T2^9 - 
     144*T1^9*T2^9 + 93*T1^10*T2^9 + 6*T1^11*T2^9 - 11*T1^12*T2^9 + 
     10*T1^4*T2^10 - 25*T1^5*T2^10 - 17*T1^6*T2^10 + 93*T1^7*T2^10 - 
     95*T1^8*T2^10 + 93*T1^9*T2^10 - 17*T1^10*T2^10 - 25*T1^11*T2^10 + 
     10*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 25*T1^7*T2^11 + 
     6*T1^8*T2^11 + 6*T1^9*T2^11 - 25*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 10*T1^8*T2^12 - 
     11*T1^9*T2^12 + 10*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, NonAlternating, 129] -> 
  {(1 - 4*T + 10*T^2 - 13*T^3 + 10*T^4 - 4*T^5 + T^6)/T^3, 
   -((1 - 4*T1 + 10*T1^2 - 13*T1^3 + 10*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 
      12*T1*T2 - 26*T1^2*T2 + 13*T1^3*T2 + 13*T1^4*T2 - 26*T1^5*T2 + 
      12*T1^6*T2 - 4*T1^7*T2 + 10*T2^2 - 26*T1*T2^2 + 62*T1^2*T2^2 - 
      22*T1^3*T2^2 - 22*T1^5*T2^2 + 62*T1^6*T2^2 - 26*T1^7*T2^2 + 
      10*T1^8*T2^2 - 13*T2^3 + 13*T1*T2^3 - 22*T1^2*T2^3 - 104*T1^3*T2^3 + 
      59*T1^4*T2^3 + 59*T1^5*T2^3 - 104*T1^6*T2^3 - 22*T1^7*T2^3 + 
      13*T1^8*T2^3 - 13*T1^9*T2^3 + 10*T2^4 + 13*T1*T2^4 + 59*T1^3*T2^4 + 
      255*T1^4*T2^4 - 415*T1^5*T2^4 + 255*T1^6*T2^4 + 59*T1^7*T2^4 + 
      13*T1^9*T2^4 + 10*T1^10*T2^4 - 4*T2^5 - 26*T1*T2^5 - 22*T1^2*T2^5 + 
      59*T1^3*T2^5 - 415*T1^4*T2^5 + 222*T1^5*T2^5 + 222*T1^6*T2^5 - 
      415*T1^7*T2^5 + 59*T1^8*T2^5 - 22*T1^9*T2^5 - 26*T1^10*T2^5 - 
      4*T1^11*T2^5 + T2^6 + 12*T1*T2^6 + 62*T1^2*T2^6 - 104*T1^3*T2^6 + 
      255*T1^4*T2^6 + 222*T1^5*T2^6 - 480*T1^6*T2^6 + 222*T1^7*T2^6 + 
      255*T1^8*T2^6 - 104*T1^9*T2^6 + 62*T1^10*T2^6 + 12*T1^11*T2^6 + 
      T1^12*T2^6 - 4*T1*T2^7 - 26*T1^2*T2^7 - 22*T1^3*T2^7 + 59*T1^4*T2^7 - 
      415*T1^5*T2^7 + 222*T1^6*T2^7 + 222*T1^7*T2^7 - 415*T1^8*T2^7 + 
      59*T1^9*T2^7 - 22*T1^10*T2^7 - 26*T1^11*T2^7 - 4*T1^12*T2^7 + 
      10*T1^2*T2^8 + 13*T1^3*T2^8 + 59*T1^5*T2^8 + 255*T1^6*T2^8 - 
      415*T1^7*T2^8 + 255*T1^8*T2^8 + 59*T1^9*T2^8 + 13*T1^11*T2^8 + 
      10*T1^12*T2^8 - 13*T1^3*T2^9 + 13*T1^4*T2^9 - 22*T1^5*T2^9 - 
      104*T1^6*T2^9 + 59*T1^7*T2^9 + 59*T1^8*T2^9 - 104*T1^9*T2^9 - 
      22*T1^10*T2^9 + 13*T1^11*T2^9 - 13*T1^12*T2^9 + 10*T1^4*T2^10 - 
      26*T1^5*T2^10 + 62*T1^6*T2^10 - 22*T1^7*T2^10 - 22*T1^9*T2^10 + 
      62*T1^10*T2^10 - 26*T1^11*T2^10 + 10*T1^12*T2^10 - 4*T1^5*T2^11 + 
      12*T1^6*T2^11 - 26*T1^7*T2^11 + 13*T1^8*T2^11 + 13*T1^9*T2^11 - 
      26*T1^10*T2^11 + 12*T1^11*T2^11 - 4*T1^12*T2^11 + T1^6*T2^12 - 
      4*T1^7*T2^12 + 10*T1^8*T2^12 - 13*T1^9*T2^12 + 10*T1^10*T2^12 - 
      4*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, NonAlternating, 130] -> 
  {-((1 - 5*T + 12*T^2 - 17*T^3 + 12*T^4 - 5*T^5 + T^6)/T^3), 
   -((T1 - 2*T1^2 - 2*T1^3 + T1^4 + T2 - 10*T1*T2 + 21*T1^2*T2 - 8*T1^3*T2 + 
      21*T1^4*T2 - 10*T1^5*T2 + T1^6*T2 - 2*T2^2 + 21*T1*T2^2 - 
      34*T1^2*T2^2 - 16*T1^3*T2^2 - 16*T1^4*T2^2 - 34*T1^5*T2^2 + 
      21*T1^6*T2^2 - 2*T1^7*T2^2 - 2*T2^3 - 8*T1*T2^3 - 16*T1^2*T2^3 + 
      117*T1^3*T2^3 - 31*T1^4*T2^3 + 117*T1^5*T2^3 - 16*T1^6*T2^3 - 
      8*T1^7*T2^3 - 2*T1^8*T2^3 + T2^4 + 21*T1*T2^4 - 16*T1^2*T2^4 - 
      31*T1^3*T2^4 - 102*T1^4*T2^4 - 102*T1^5*T2^4 - 31*T1^6*T2^4 - 
      16*T1^7*T2^4 + 21*T1^8*T2^4 + T1^9*T2^4 - 10*T1*T2^5 - 34*T1^2*T2^5 + 
      117*T1^3*T2^5 - 102*T1^4*T2^5 + 360*T1^5*T2^5 - 102*T1^6*T2^5 + 
      117*T1^7*T2^5 - 34*T1^8*T2^5 - 10*T1^9*T2^5 + T1*T2^6 + 21*T1^2*T2^6 - 
      16*T1^3*T2^6 - 31*T1^4*T2^6 - 102*T1^5*T2^6 - 102*T1^6*T2^6 - 
      31*T1^7*T2^6 - 16*T1^8*T2^6 + 21*T1^9*T2^6 + T1^10*T2^6 - 2*T1^2*T2^7 - 
      8*T1^3*T2^7 - 16*T1^4*T2^7 + 117*T1^5*T2^7 - 31*T1^6*T2^7 + 
      117*T1^7*T2^7 - 16*T1^8*T2^7 - 8*T1^9*T2^7 - 2*T1^10*T2^7 - 
      2*T1^3*T2^8 + 21*T1^4*T2^8 - 34*T1^5*T2^8 - 16*T1^6*T2^8 - 
      16*T1^7*T2^8 - 34*T1^8*T2^8 + 21*T1^9*T2^8 - 2*T1^10*T2^8 + T1^4*T2^9 - 
      10*T1^5*T2^9 + 21*T1^6*T2^9 - 8*T1^7*T2^9 + 21*T1^8*T2^9 - 
      10*T1^9*T2^9 + T1^10*T2^9 + T1^6*T2^10 - 2*T1^7*T2^10 - 2*T1^8*T2^10 + 
      T1^9*T2^10)/(T1^5*T2^5))}, Knot[11, NonAlternating, 131] -> 
  {(1 - 6*T + 16*T^2 - 21*T^3 + 16*T^4 - 6*T^5 + T^6)/T^3, 
   -((1 - 6*T1 + 16*T1^2 - 21*T1^3 + 16*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
      30*T1*T2 - 60*T1^2*T2 + 30*T1^3*T2 + 30*T1^4*T2 - 60*T1^5*T2 + 
      30*T1^6*T2 - 6*T1^7*T2 + 16*T2^2 - 60*T1*T2^2 + 53*T1^2*T2^2 + 
      156*T1^3*T2^2 - 263*T1^4*T2^2 + 156*T1^5*T2^2 + 53*T1^6*T2^2 - 
      60*T1^7*T2^2 + 16*T1^8*T2^2 - 21*T2^3 + 30*T1*T2^3 + 156*T1^2*T2^3 - 
      562*T1^3*T2^3 + 288*T1^4*T2^3 + 288*T1^5*T2^3 - 562*T1^6*T2^3 + 
      156*T1^7*T2^3 + 30*T1^8*T2^3 - 21*T1^9*T2^3 + 16*T2^4 + 30*T1*T2^4 - 
      263*T1^2*T2^4 + 288*T1^3*T2^4 + 920*T1^4*T2^4 - 1516*T1^5*T2^4 + 
      920*T1^6*T2^4 + 288*T1^7*T2^4 - 263*T1^8*T2^4 + 30*T1^9*T2^4 + 
      16*T1^10*T2^4 - 6*T2^5 - 60*T1*T2^5 + 156*T1^2*T2^5 + 288*T1^3*T2^5 - 
      1516*T1^4*T2^5 + 784*T1^5*T2^5 + 784*T1^6*T2^5 - 1516*T1^7*T2^5 + 
      288*T1^8*T2^5 + 156*T1^9*T2^5 - 60*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
      30*T1*T2^6 + 53*T1^2*T2^6 - 562*T1^3*T2^6 + 920*T1^4*T2^6 + 
      784*T1^5*T2^6 - 1644*T1^6*T2^6 + 784*T1^7*T2^6 + 920*T1^8*T2^6 - 
      562*T1^9*T2^6 + 53*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 
      6*T1*T2^7 - 60*T1^2*T2^7 + 156*T1^3*T2^7 + 288*T1^4*T2^7 - 
      1516*T1^5*T2^7 + 784*T1^6*T2^7 + 784*T1^7*T2^7 - 1516*T1^8*T2^7 + 
      288*T1^9*T2^7 + 156*T1^10*T2^7 - 60*T1^11*T2^7 - 6*T1^12*T2^7 + 
      16*T1^2*T2^8 + 30*T1^3*T2^8 - 263*T1^4*T2^8 + 288*T1^5*T2^8 + 
      920*T1^6*T2^8 - 1516*T1^7*T2^8 + 920*T1^8*T2^8 + 288*T1^9*T2^8 - 
      263*T1^10*T2^8 + 30*T1^11*T2^8 + 16*T1^12*T2^8 - 21*T1^3*T2^9 + 
      30*T1^4*T2^9 + 156*T1^5*T2^9 - 562*T1^6*T2^9 + 288*T1^7*T2^9 + 
      288*T1^8*T2^9 - 562*T1^9*T2^9 + 156*T1^10*T2^9 + 30*T1^11*T2^9 - 
      21*T1^12*T2^9 + 16*T1^4*T2^10 - 60*T1^5*T2^10 + 53*T1^6*T2^10 + 
      156*T1^7*T2^10 - 263*T1^8*T2^10 + 156*T1^9*T2^10 + 53*T1^10*T2^10 - 
      60*T1^11*T2^10 + 16*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 
      60*T1^7*T2^11 + 30*T1^8*T2^11 + 30*T1^9*T2^11 - 60*T1^10*T2^11 + 
      30*T1^11*T2^11 - 6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 
      16*T1^8*T2^12 - 21*T1^9*T2^12 + 16*T1^10*T2^12 - 6*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, NonAlternating, 132] -> 
  {((2 - 2*T + T^2)*(1 - 2*T + 2*T^2))/T^2, 
   -((1 - 4*T1 + 7*T1^2 - 4*T1^3 + T1^4 - 4*T2 + 8*T1*T2 - 10*T1^2*T2 - 
      10*T1^3*T2 + 8*T1^4*T2 - 4*T1^5*T2 + 7*T2^2 - 10*T1*T2^2 + 
      49*T1^2*T2^2 - 33*T1^3*T2^2 + 49*T1^4*T2^2 - 10*T1^5*T2^2 + 
      7*T1^6*T2^2 - 4*T2^3 - 10*T1*T2^3 - 33*T1^2*T2^3 - 22*T1^3*T2^3 - 
      22*T1^4*T2^3 - 33*T1^5*T2^3 - 10*T1^6*T2^3 - 4*T1^7*T2^3 + T2^4 + 
      8*T1*T2^4 + 49*T1^2*T2^4 - 22*T1^3*T2^4 + 108*T1^4*T2^4 - 
      22*T1^5*T2^4 + 49*T1^6*T2^4 + 8*T1^7*T2^4 + T1^8*T2^4 - 4*T1*T2^5 - 
      10*T1^2*T2^5 - 33*T1^3*T2^5 - 22*T1^4*T2^5 - 22*T1^5*T2^5 - 
      33*T1^6*T2^5 - 10*T1^7*T2^5 - 4*T1^8*T2^5 + 7*T1^2*T2^6 - 
      10*T1^3*T2^6 + 49*T1^4*T2^6 - 33*T1^5*T2^6 + 49*T1^6*T2^6 - 
      10*T1^7*T2^6 + 7*T1^8*T2^6 - 4*T1^3*T2^7 + 8*T1^4*T2^7 - 10*T1^5*T2^7 - 
      10*T1^6*T2^7 + 8*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)/(T1^4*T2^4))}, 
 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, 
   (2 - 8*T1 + 12*T1^2 - 4*T1^3 - 2*T1^4 - 4*T1^5 + 12*T1^6 - 8*T1^7 + 
     2*T1^8 - 8*T2 + 24*T1*T2 - 16*T1^2*T2 - 32*T1^3*T2 + 24*T1^4*T2 + 
     24*T1^5*T2 - 32*T1^6*T2 - 16*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 
     12*T2^2 - 16*T1*T2^2 - 44*T1^2*T2^2 + 120*T1^3*T2^2 - 4*T1^4*T2^2 - 
     80*T1^5*T2^2 - 4*T1^6*T2^2 + 120*T1^7*T2^2 - 44*T1^8*T2^2 - 
     16*T1^9*T2^2 + 12*T1^10*T2^2 - 4*T2^3 - 32*T1*T2^3 + 120*T1^2*T2^3 - 
     92*T1^3*T2^3 - 169*T1^4*T2^3 + 125*T1^5*T2^3 + 125*T1^6*T2^3 - 
     169*T1^7*T2^3 - 92*T1^8*T2^3 + 120*T1^9*T2^3 - 32*T1^10*T2^3 - 
     4*T1^11*T2^3 - 2*T2^4 + 24*T1*T2^4 - 4*T1^2*T2^4 - 169*T1^3*T2^4 + 
     318*T1^4*T2^4 - 25*T1^5*T2^4 - 184*T1^6*T2^4 - 25*T1^7*T2^4 + 
     318*T1^8*T2^4 - 169*T1^9*T2^4 - 4*T1^10*T2^4 + 24*T1^11*T2^4 - 
     2*T1^12*T2^4 - 4*T2^5 + 24*T1*T2^5 - 80*T1^2*T2^5 + 125*T1^3*T2^5 - 
     25*T1^4*T2^5 - 176*T1^5*T2^5 + 121*T1^6*T2^5 + 121*T1^7*T2^5 - 
     176*T1^8*T2^5 - 25*T1^9*T2^5 + 125*T1^10*T2^5 - 80*T1^11*T2^5 + 
     24*T1^12*T2^5 - 4*T1^13*T2^5 + 12*T2^6 - 32*T1*T2^6 - 4*T1^2*T2^6 + 
     125*T1^3*T2^6 - 184*T1^4*T2^6 + 121*T1^5*T2^6 - 43*T1^6*T2^6 - 
     11*T1^7*T2^6 - 43*T1^8*T2^6 + 121*T1^9*T2^6 - 184*T1^10*T2^6 + 
     125*T1^11*T2^6 - 4*T1^12*T2^6 - 32*T1^13*T2^6 + 12*T1^14*T2^6 - 8*T2^7 - 
     16*T1*T2^7 + 120*T1^2*T2^7 - 169*T1^3*T2^7 - 25*T1^4*T2^7 + 
     121*T1^5*T2^7 - 11*T1^6*T2^7 - 12*T1^7*T2^7 - 12*T1^8*T2^7 - 
     11*T1^9*T2^7 + 121*T1^10*T2^7 - 25*T1^11*T2^7 - 169*T1^12*T2^7 + 
     120*T1^13*T2^7 - 16*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 24*T1*T2^8 - 
     44*T1^2*T2^8 - 92*T1^3*T2^8 + 318*T1^4*T2^8 - 176*T1^5*T2^8 - 
     43*T1^6*T2^8 - 12*T1^7*T2^8 + 72*T1^8*T2^8 - 12*T1^9*T2^8 - 
     43*T1^10*T2^8 - 176*T1^11*T2^8 + 318*T1^12*T2^8 - 92*T1^13*T2^8 - 
     44*T1^14*T2^8 + 24*T1^15*T2^8 + 2*T1^16*T2^8 - 8*T1*T2^9 - 
     16*T1^2*T2^9 + 120*T1^3*T2^9 - 169*T1^4*T2^9 - 25*T1^5*T2^9 + 
     121*T1^6*T2^9 - 11*T1^7*T2^9 - 12*T1^8*T2^9 - 12*T1^9*T2^9 - 
     11*T1^10*T2^9 + 121*T1^11*T2^9 - 25*T1^12*T2^9 - 169*T1^13*T2^9 + 
     120*T1^14*T2^9 - 16*T1^15*T2^9 - 8*T1^16*T2^9 + 12*T1^2*T2^10 - 
     32*T1^3*T2^10 - 4*T1^4*T2^10 + 125*T1^5*T2^10 - 184*T1^6*T2^10 + 
     121*T1^7*T2^10 - 43*T1^8*T2^10 - 11*T1^9*T2^10 - 43*T1^10*T2^10 + 
     121*T1^11*T2^10 - 184*T1^12*T2^10 + 125*T1^13*T2^10 - 4*T1^14*T2^10 - 
     32*T1^15*T2^10 + 12*T1^16*T2^10 - 4*T1^3*T2^11 + 24*T1^4*T2^11 - 
     80*T1^5*T2^11 + 125*T1^6*T2^11 - 25*T1^7*T2^11 - 176*T1^8*T2^11 + 
     121*T1^9*T2^11 + 121*T1^10*T2^11 - 176*T1^11*T2^11 - 25*T1^12*T2^11 + 
     125*T1^13*T2^11 - 80*T1^14*T2^11 + 24*T1^15*T2^11 - 4*T1^16*T2^11 - 
     2*T1^4*T2^12 + 24*T1^5*T2^12 - 4*T1^6*T2^12 - 169*T1^7*T2^12 + 
     318*T1^8*T2^12 - 25*T1^9*T2^12 - 184*T1^10*T2^12 - 25*T1^11*T2^12 + 
     318*T1^12*T2^12 - 169*T1^13*T2^12 - 4*T1^14*T2^12 + 24*T1^15*T2^12 - 
     2*T1^16*T2^12 - 4*T1^5*T2^13 - 32*T1^6*T2^13 + 120*T1^7*T2^13 - 
     92*T1^8*T2^13 - 169*T1^9*T2^13 + 125*T1^10*T2^13 + 125*T1^11*T2^13 - 
     169*T1^12*T2^13 - 92*T1^13*T2^13 + 120*T1^14*T2^13 - 32*T1^15*T2^13 - 
     4*T1^16*T2^13 + 12*T1^6*T2^14 - 16*T1^7*T2^14 - 44*T1^8*T2^14 + 
     120*T1^9*T2^14 - 4*T1^10*T2^14 - 80*T1^11*T2^14 - 4*T1^12*T2^14 + 
     120*T1^13*T2^14 - 44*T1^14*T2^14 - 16*T1^15*T2^14 + 12*T1^16*T2^14 - 
     8*T1^7*T2^15 + 24*T1^8*T2^15 - 16*T1^9*T2^15 - 32*T1^10*T2^15 + 
     24*T1^11*T2^15 + 24*T1^12*T2^15 - 32*T1^13*T2^15 - 16*T1^14*T2^15 + 
     24*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)/(T1^8*T2^8)}, 
 Knot[11, NonAlternating, 134] -> 
  {-((3 - 12*T + 17*T^2 - 12*T^3 + 3*T^4)/T^2), 
   (36 - 141*T1 + 196*T1^2 - 141*T1^3 + 36*T1^4 - 141*T2 + 414*T1*T2 - 
     216*T1^2*T2 - 216*T1^3*T2 + 414*T1^4*T2 - 141*T1^5*T2 + 196*T2^2 - 
     216*T1*T2^2 - 931*T1^2*T2^2 + 1519*T1^3*T2^2 - 931*T1^4*T2^2 - 
     216*T1^5*T2^2 + 196*T1^6*T2^2 - 141*T2^3 - 216*T1*T2^3 + 
     1519*T1^2*T2^3 - 796*T1^3*T2^3 - 796*T1^4*T2^3 + 1519*T1^5*T2^3 - 
     216*T1^6*T2^3 - 141*T1^7*T2^3 + 36*T2^4 + 414*T1*T2^4 - 931*T1^2*T2^4 - 
     796*T1^3*T2^4 + 1656*T1^4*T2^4 - 796*T1^5*T2^4 - 931*T1^6*T2^4 + 
     414*T1^7*T2^4 + 36*T1^8*T2^4 - 141*T1*T2^5 - 216*T1^2*T2^5 + 
     1519*T1^3*T2^5 - 796*T1^4*T2^5 - 796*T1^5*T2^5 + 1519*T1^6*T2^5 - 
     216*T1^7*T2^5 - 141*T1^8*T2^5 + 196*T1^2*T2^6 - 216*T1^3*T2^6 - 
     931*T1^4*T2^6 + 1519*T1^5*T2^6 - 931*T1^6*T2^6 - 216*T1^7*T2^6 + 
     196*T1^8*T2^6 - 141*T1^3*T2^7 + 414*T1^4*T2^7 - 216*T1^5*T2^7 - 
     216*T1^6*T2^7 + 414*T1^7*T2^7 - 141*T1^8*T2^7 + 36*T1^4*T2^8 - 
     141*T1^5*T2^8 + 196*T1^6*T2^8 - 141*T1^7*T2^8 + 36*T1^8*T2^8)/
    (T1^4*T2^4)}, Knot[11, NonAlternating, 135] -> 
  {-((1 - 2*T + T^3 - 2*T^5 + T^6)/T^3), 
   -((2 - 4*T1 + 2*T1^3 - 4*T1^5 + 2*T1^6 - 4*T2 + 4*T1*T2 + 7*T1^2*T2 - 
      3*T1^3*T2 - 3*T1^4*T2 + 7*T1^5*T2 + 4*T1^6*T2 - 4*T1^7*T2 + 7*T1*T2^2 - 
      11*T1^2*T2^2 + 3*T1^4*T2^2 - 11*T1^6*T2^2 + 7*T1^7*T2^2 + 2*T2^3 - 
      3*T1*T2^3 - 10*T1^3*T2^3 + 5*T1^4*T2^3 + 5*T1^5*T2^3 - 10*T1^6*T2^3 - 
      3*T1^8*T2^3 + 2*T1^9*T2^3 - 3*T1*T2^4 + 3*T1^2*T2^4 + 5*T1^3*T2^4 + 
      6*T1^4*T2^4 - 6*T1^5*T2^4 + 6*T1^6*T2^4 + 5*T1^7*T2^4 + 3*T1^8*T2^4 - 
      3*T1^9*T2^4 - 4*T2^5 + 7*T1*T2^5 + 5*T1^3*T2^5 - 6*T1^4*T2^5 - 
      6*T1^7*T2^5 + 5*T1^8*T2^5 + 7*T1^10*T2^5 - 4*T1^11*T2^5 + 2*T2^6 + 
      4*T1*T2^6 - 11*T1^2*T2^6 - 10*T1^3*T2^6 + 6*T1^4*T2^6 + 6*T1^8*T2^6 - 
      10*T1^9*T2^6 - 11*T1^10*T2^6 + 4*T1^11*T2^6 + 2*T1^12*T2^6 - 
      4*T1*T2^7 + 7*T1^2*T2^7 + 5*T1^4*T2^7 - 6*T1^5*T2^7 - 6*T1^8*T2^7 + 
      5*T1^9*T2^7 + 7*T1^11*T2^7 - 4*T1^12*T2^7 - 3*T1^3*T2^8 + 3*T1^4*T2^8 + 
      5*T1^5*T2^8 + 6*T1^6*T2^8 - 6*T1^7*T2^8 + 6*T1^8*T2^8 + 5*T1^9*T2^8 + 
      3*T1^10*T2^8 - 3*T1^11*T2^8 + 2*T1^3*T2^9 - 3*T1^4*T2^9 - 
      10*T1^6*T2^9 + 5*T1^7*T2^9 + 5*T1^8*T2^9 - 10*T1^9*T2^9 - 
      3*T1^11*T2^9 + 2*T1^12*T2^9 + 7*T1^5*T2^10 - 11*T1^6*T2^10 + 
      3*T1^8*T2^10 - 11*T1^10*T2^10 + 7*T1^11*T2^10 - 4*T1^5*T2^11 + 
      4*T1^6*T2^11 + 7*T1^7*T2^11 - 3*T1^8*T2^11 - 3*T1^9*T2^11 + 
      7*T1^10*T2^11 + 4*T1^11*T2^11 - 4*T1^12*T2^11 + 2*T1^6*T2^12 - 
      4*T1^7*T2^12 + 2*T1^9*T2^12 - 4*T1^11*T2^12 + 2*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[11, NonAlternating, 136] -> 
  {((1 - T + T^2)*(3 - 5*T + 5*T^2 - 5*T^3 + 3*T^4))/T^3, 
   (84 - 217*T1 + 348*T1^2 - 400*T1^3 + 348*T1^4 - 217*T1^5 + 84*T1^6 - 
     217*T2 + 348*T1*T2 - 344*T1^2*T2 + 137*T1^3*T2 + 137*T1^4*T2 - 
     344*T1^5*T2 + 348*T1^6*T2 - 217*T1^7*T2 + 348*T2^2 - 344*T1*T2^2 + 
     283*T1^2*T2^2 - 91*T1^3*T2^2 + 29*T1^4*T2^2 - 91*T1^5*T2^2 + 
     283*T1^6*T2^2 - 344*T1^7*T2^2 + 348*T1^8*T2^2 - 400*T2^3 + 137*T1*T2^3 - 
     91*T1^2*T2^3 - 86*T1^3*T2^3 + 26*T1^4*T2^3 + 26*T1^5*T2^3 - 
     86*T1^6*T2^3 - 91*T1^7*T2^3 + 137*T1^8*T2^3 - 400*T1^9*T2^3 + 348*T2^4 + 
     137*T1*T2^4 + 29*T1^2*T2^4 + 26*T1^3*T2^4 + 218*T1^4*T2^4 - 
     240*T1^5*T2^4 + 218*T1^6*T2^4 + 26*T1^7*T2^4 + 29*T1^8*T2^4 + 
     137*T1^9*T2^4 + 348*T1^10*T2^4 - 217*T2^5 - 344*T1*T2^5 - 91*T1^2*T2^5 + 
     26*T1^3*T2^5 - 240*T1^4*T2^5 + 54*T1^5*T2^5 + 54*T1^6*T2^5 - 
     240*T1^7*T2^5 + 26*T1^8*T2^5 - 91*T1^9*T2^5 - 344*T1^10*T2^5 - 
     217*T1^11*T2^5 + 84*T2^6 + 348*T1*T2^6 + 283*T1^2*T2^6 - 86*T1^3*T2^6 + 
     218*T1^4*T2^6 + 54*T1^5*T2^6 - 48*T1^6*T2^6 + 54*T1^7*T2^6 + 
     218*T1^8*T2^6 - 86*T1^9*T2^6 + 283*T1^10*T2^6 + 348*T1^11*T2^6 + 
     84*T1^12*T2^6 - 217*T1*T2^7 - 344*T1^2*T2^7 - 91*T1^3*T2^7 + 
     26*T1^4*T2^7 - 240*T1^5*T2^7 + 54*T1^6*T2^7 + 54*T1^7*T2^7 - 
     240*T1^8*T2^7 + 26*T1^9*T2^7 - 91*T1^10*T2^7 - 344*T1^11*T2^7 - 
     217*T1^12*T2^7 + 348*T1^2*T2^8 + 137*T1^3*T2^8 + 29*T1^4*T2^8 + 
     26*T1^5*T2^8 + 218*T1^6*T2^8 - 240*T1^7*T2^8 + 218*T1^8*T2^8 + 
     26*T1^9*T2^8 + 29*T1^10*T2^8 + 137*T1^11*T2^8 + 348*T1^12*T2^8 - 
     400*T1^3*T2^9 + 137*T1^4*T2^9 - 91*T1^5*T2^9 - 86*T1^6*T2^9 + 
     26*T1^7*T2^9 + 26*T1^8*T2^9 - 86*T1^9*T2^9 - 91*T1^10*T2^9 + 
     137*T1^11*T2^9 - 400*T1^12*T2^9 + 348*T1^4*T2^10 - 344*T1^5*T2^10 + 
     283*T1^6*T2^10 - 91*T1^7*T2^10 + 29*T1^8*T2^10 - 91*T1^9*T2^10 + 
     283*T1^10*T2^10 - 344*T1^11*T2^10 + 348*T1^12*T2^10 - 217*T1^5*T2^11 + 
     348*T1^6*T2^11 - 344*T1^7*T2^11 + 137*T1^8*T2^11 + 137*T1^9*T2^11 - 
     344*T1^10*T2^11 + 348*T1^11*T2^11 - 217*T1^12*T2^11 + 84*T1^6*T2^12 - 
     217*T1^7*T2^12 + 348*T1^8*T2^12 - 400*T1^9*T2^12 + 348*T1^10*T2^12 - 
     217*T1^11*T2^12 + 84*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, NonAlternating, 137] -> 
  {-((1 - 7*T + 13*T^2 - 15*T^3 + 13*T^4 - 7*T^5 + T^6)/T^3), 
   (2*(1 - 7*T1 + 13*T1^2 - 15*T1^3 + 13*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 42*T1^2*T2 + 14*T1^3*T2 + 14*T1^4*T2 - 42*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 13*T2^2 - 42*T1*T2^2 - 147*T1^2*T2^2 + 
      321*T1^3*T2^2 - 362*T1^4*T2^2 + 321*T1^5*T2^2 - 147*T1^6*T2^2 - 
      42*T1^7*T2^2 + 13*T1^8*T2^2 - 15*T2^3 + 14*T1*T2^3 + 321*T1^2*T2^3 - 
      317*T1^3*T2^3 + 92*T1^4*T2^3 + 92*T1^5*T2^3 - 317*T1^6*T2^3 + 
      321*T1^7*T2^3 + 14*T1^8*T2^3 - 15*T1^9*T2^3 + 13*T2^4 + 14*T1*T2^4 - 
      362*T1^2*T2^4 + 92*T1^3*T2^4 + 162*T1^4*T2^4 - 170*T1^5*T2^4 + 
      162*T1^6*T2^4 + 92*T1^7*T2^4 - 362*T1^8*T2^4 + 14*T1^9*T2^4 + 
      13*T1^10*T2^4 - 7*T2^5 - 42*T1*T2^5 + 321*T1^2*T2^5 + 92*T1^3*T2^5 - 
      170*T1^4*T2^5 + 27*T1^5*T2^5 + 27*T1^6*T2^5 - 170*T1^7*T2^5 + 
      92*T1^8*T2^5 + 321*T1^9*T2^5 - 42*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 - 147*T1^2*T2^6 - 317*T1^3*T2^6 + 162*T1^4*T2^6 + 
      27*T1^5*T2^6 - 18*T1^6*T2^6 + 27*T1^7*T2^6 + 162*T1^8*T2^6 - 
      317*T1^9*T2^6 - 147*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 42*T1^2*T2^7 + 321*T1^3*T2^7 + 92*T1^4*T2^7 - 
      170*T1^5*T2^7 + 27*T1^6*T2^7 + 27*T1^7*T2^7 - 170*T1^8*T2^7 + 
      92*T1^9*T2^7 + 321*T1^10*T2^7 - 42*T1^11*T2^7 - 7*T1^12*T2^7 + 
      13*T1^2*T2^8 + 14*T1^3*T2^8 - 362*T1^4*T2^8 + 92*T1^5*T2^8 + 
      162*T1^6*T2^8 - 170*T1^7*T2^8 + 162*T1^8*T2^8 + 92*T1^9*T2^8 - 
      362*T1^10*T2^8 + 14*T1^11*T2^8 + 13*T1^12*T2^8 - 15*T1^3*T2^9 + 
      14*T1^4*T2^9 + 321*T1^5*T2^9 - 317*T1^6*T2^9 + 92*T1^7*T2^9 + 
      92*T1^8*T2^9 - 317*T1^9*T2^9 + 321*T1^10*T2^9 + 14*T1^11*T2^9 - 
      15*T1^12*T2^9 + 13*T1^4*T2^10 - 42*T1^5*T2^10 - 147*T1^6*T2^10 + 
      321*T1^7*T2^10 - 362*T1^8*T2^10 + 321*T1^9*T2^10 - 147*T1^10*T2^10 - 
      42*T1^11*T2^10 + 13*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      42*T1^7*T2^11 + 14*T1^8*T2^11 + 14*T1^9*T2^11 - 42*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      13*T1^8*T2^12 - 15*T1^9*T2^12 + 13*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12))/(T1^6*T2^6)}, Knot[11, NonAlternating, 138] -> 
  {-((2 - 4*T + 3*T^2 - 4*T^3 + 2*T^4)/T^2), 
   -((5 - 9*T1 + 7*T1^2 - 9*T1^3 + 5*T1^4 - 9*T2 + 6*T1*T2 + 4*T1^2*T2 + 
      4*T1^3*T2 + 6*T1^4*T2 - 9*T1^5*T2 + 7*T2^2 + 4*T1*T2^2 - 14*T1^2*T2^2 + 
      10*T1^3*T2^2 - 14*T1^4*T2^2 + 4*T1^5*T2^2 + 7*T1^6*T2^2 - 9*T2^3 + 
      4*T1*T2^3 + 10*T1^2*T2^3 - 16*T1^3*T2^3 - 16*T1^4*T2^3 + 10*T1^5*T2^3 + 
      4*T1^6*T2^3 - 9*T1^7*T2^3 + 5*T2^4 + 6*T1*T2^4 - 14*T1^2*T2^4 - 
      16*T1^3*T2^4 + 72*T1^4*T2^4 - 16*T1^5*T2^4 - 14*T1^6*T2^4 + 
      6*T1^7*T2^4 + 5*T1^8*T2^4 - 9*T1*T2^5 + 4*T1^2*T2^5 + 10*T1^3*T2^5 - 
      16*T1^4*T2^5 - 16*T1^5*T2^5 + 10*T1^6*T2^5 + 4*T1^7*T2^5 - 
      9*T1^8*T2^5 + 7*T1^2*T2^6 + 4*T1^3*T2^6 - 14*T1^4*T2^6 + 10*T1^5*T2^6 - 
      14*T1^6*T2^6 + 4*T1^7*T2^6 + 7*T1^8*T2^6 - 9*T1^3*T2^7 + 6*T1^4*T2^7 + 
      4*T1^5*T2^7 + 4*T1^6*T2^7 + 6*T1^7*T2^7 - 9*T1^8*T2^7 + 5*T1^4*T2^8 - 
      9*T1^5*T2^8 + 7*T1^6*T2^8 - 9*T1^7*T2^8 + 5*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[11, NonAlternating, 139] -> {-(((-2 + T)*(-1 + 2*T))/T), 
   (-5*(1 - 3*T1 + T1^2 - 3*T2 + 6*T1*T2 + 6*T1^2*T2 - 3*T1^3*T2 + T2^2 + 
      6*T1*T2^2 - 24*T1^2*T2^2 + 6*T1^3*T2^2 + T1^4*T2^2 - 3*T1*T2^3 + 
      6*T1^2*T2^3 + 6*T1^3*T2^3 - 3*T1^4*T2^3 + T1^2*T2^4 - 3*T1^3*T2^4 + 
      T1^4*T2^4))/(T1^2*T2^2)}, Knot[11, NonAlternating, 140] -> 
  {-((2 - 13*T + 21*T^2 - 13*T^3 + 2*T^4)/T^2), 
   (9 - 59*T1 + 95*T1^2 - 59*T1^3 + 9*T1^4 - 59*T2 + 328*T1*T2 - 
     236*T1^2*T2 - 236*T1^3*T2 + 328*T1^4*T2 - 59*T1^5*T2 + 95*T2^2 - 
     236*T1*T2^2 - 1325*T1^2*T2^2 + 2619*T1^3*T2^2 - 1325*T1^4*T2^2 - 
     236*T1^5*T2^2 + 95*T1^6*T2^2 - 59*T2^3 - 236*T1*T2^3 + 2619*T1^2*T2^3 - 
     1966*T1^3*T2^3 - 1966*T1^4*T2^3 + 2619*T1^5*T2^3 - 236*T1^6*T2^3 - 
     59*T1^7*T2^3 + 9*T2^4 + 328*T1*T2^4 - 1325*T1^2*T2^4 - 1966*T1^3*T2^4 + 
     4980*T1^4*T2^4 - 1966*T1^5*T2^4 - 1325*T1^6*T2^4 + 328*T1^7*T2^4 + 
     9*T1^8*T2^4 - 59*T1*T2^5 - 236*T1^2*T2^5 + 2619*T1^3*T2^5 - 
     1966*T1^4*T2^5 - 1966*T1^5*T2^5 + 2619*T1^6*T2^5 - 236*T1^7*T2^5 - 
     59*T1^8*T2^5 + 95*T1^2*T2^6 - 236*T1^3*T2^6 - 1325*T1^4*T2^6 + 
     2619*T1^5*T2^6 - 1325*T1^6*T2^6 - 236*T1^7*T2^6 + 95*T1^8*T2^6 - 
     59*T1^3*T2^7 + 328*T1^4*T2^7 - 236*T1^5*T2^7 - 236*T1^6*T2^7 + 
     328*T1^7*T2^7 - 59*T1^8*T2^7 + 9*T1^4*T2^8 - 59*T1^5*T2^8 + 
     95*T1^6*T2^8 - 59*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[11, NonAlternating, 141] -> {-((5 - 11*T + 5*T^2)/T), 
   (4*(10 - 23*T1 + 10*T1^2 - 23*T2 + 30*T1*T2 + 30*T1^2*T2 - 23*T1^3*T2 + 
      10*T2^2 + 30*T1*T2^2 - 102*T1^2*T2^2 + 30*T1^3*T2^2 + 10*T1^4*T2^2 - 
      23*T1*T2^3 + 30*T1^2*T2^3 + 30*T1^3*T2^3 - 23*T1^4*T2^3 + 
      10*T1^2*T2^4 - 23*T1^3*T2^4 + 10*T1^4*T2^4))/(T1^2*T2^2)}, 
 Knot[11, NonAlternating, 142] -> {(1 - 8*T + 15*T^2 - 8*T^3 + T^4)/T^2, 
   -((6 - 9*T1 - 9*T1^2 + 6*T1^3 - 9*T2 - 71*T1*T2 + 209*T1^2*T2 - 
      71*T1^3*T2 - 9*T1^4*T2 - 9*T2^2 + 209*T1*T2^2 - 274*T1^2*T2^2 - 
      274*T1^3*T2^2 + 209*T1^4*T2^2 - 9*T1^5*T2^2 + 6*T2^3 - 71*T1*T2^3 - 
      274*T1^2*T2^3 + 888*T1^3*T2^3 - 274*T1^4*T2^3 - 71*T1^5*T2^3 + 
      6*T1^6*T2^3 - 9*T1*T2^4 + 209*T1^2*T2^4 - 274*T1^3*T2^4 - 
      274*T1^4*T2^4 + 209*T1^5*T2^4 - 9*T1^6*T2^4 - 9*T1^2*T2^5 - 
      71*T1^3*T2^5 + 209*T1^4*T2^5 - 71*T1^5*T2^5 - 9*T1^6*T2^5 + 
      6*T1^3*T2^6 - 9*T1^4*T2^6 - 9*T1^5*T2^6 + 6*T1^6*T2^6)/(T1^3*T2^3))}, 
 Knot[11, NonAlternating, 143] -> 
  {-(((1 - T + T^2)*(1 - T - T^2 - T^3 + T^4))/T^3), 
   -((2 - 4*T1 + T1^2 + T1^3 - 4*T1^4 + 2*T1^5 - 4*T2 + 4*T1*T2 + 5*T1^2*T2 - 
      2*T1^3*T2 + 5*T1^4*T2 + 4*T1^5*T2 - 4*T1^6*T2 + T2^2 + 5*T1*T2^2 - 
      10*T1^2*T2^2 + T1^3*T2^2 + T1^4*T2^2 - 10*T1^5*T2^2 + 5*T1^6*T2^2 + 
      T1^7*T2^2 + T2^3 - 2*T1*T2^3 + T1^2*T2^3 - 7*T1^3*T2^3 - T1^4*T2^3 - 
      7*T1^5*T2^3 + T1^6*T2^3 - 2*T1^7*T2^3 + T1^8*T2^3 - 4*T2^4 + 
      5*T1*T2^4 + T1^2*T2^4 - T1^3*T2^4 + 18*T1^4*T2^4 + 18*T1^5*T2^4 - 
      T1^6*T2^4 + T1^7*T2^4 + 5*T1^8*T2^4 - 4*T1^9*T2^4 + 2*T2^5 + 
      4*T1*T2^5 - 10*T1^2*T2^5 - 7*T1^3*T2^5 + 18*T1^4*T2^5 - 60*T1^5*T2^5 + 
      18*T1^6*T2^5 - 7*T1^7*T2^5 - 10*T1^8*T2^5 + 4*T1^9*T2^5 + 
      2*T1^10*T2^5 - 4*T1*T2^6 + 5*T1^2*T2^6 + T1^3*T2^6 - T1^4*T2^6 + 
      18*T1^5*T2^6 + 18*T1^6*T2^6 - T1^7*T2^6 + T1^8*T2^6 + 5*T1^9*T2^6 - 
      4*T1^10*T2^6 + T1^2*T2^7 - 2*T1^3*T2^7 + T1^4*T2^7 - 7*T1^5*T2^7 - 
      T1^6*T2^7 - 7*T1^7*T2^7 + T1^8*T2^7 - 2*T1^9*T2^7 + T1^10*T2^7 + 
      T1^3*T2^8 + 5*T1^4*T2^8 - 10*T1^5*T2^8 + T1^6*T2^8 + T1^7*T2^8 - 
      10*T1^8*T2^8 + 5*T1^9*T2^8 + T1^10*T2^8 - 4*T1^4*T2^9 + 4*T1^5*T2^9 + 
      5*T1^6*T2^9 - 2*T1^7*T2^9 + 5*T1^8*T2^9 + 4*T1^9*T2^9 - 4*T1^10*T2^9 + 
      2*T1^5*T2^10 - 4*T1^6*T2^10 + T1^7*T2^10 + T1^8*T2^10 - 4*T1^9*T2^10 + 
      2*T1^10*T2^10)/(T1^5*T2^5))}, Knot[11, NonAlternating, 144] -> 
  {-((1 - 7*T + 15*T^2 - 19*T^3 + 15*T^4 - 7*T^5 + T^6)/T^3), 
   -((2 - 14*T1 + 30*T1^2 - 38*T1^3 + 30*T1^4 - 14*T1^5 + 2*T1^6 - 14*T2 + 
      86*T1*T2 - 111*T1^2*T2 + 55*T1^3*T2 + 55*T1^4*T2 - 111*T1^5*T2 + 
      86*T1^6*T2 - 14*T1^7*T2 + 30*T2^2 - 111*T1*T2^2 - 236*T1^2*T2^2 + 
      729*T1^3*T2^2 - 1004*T1^4*T2^2 + 729*T1^5*T2^2 - 236*T1^6*T2^2 - 
      111*T1^7*T2^2 + 30*T1^8*T2^2 - 38*T2^3 + 55*T1*T2^3 + 729*T1^2*T2^3 - 
      1022*T1^3*T2^3 + 549*T1^4*T2^3 + 549*T1^5*T2^3 - 1022*T1^6*T2^3 + 
      729*T1^7*T2^3 + 55*T1^8*T2^3 - 38*T1^9*T2^3 + 30*T2^4 + 55*T1*T2^4 - 
      1004*T1^2*T2^4 + 549*T1^3*T2^4 + 367*T1^4*T2^4 - 1097*T1^5*T2^4 + 
      367*T1^6*T2^4 + 549*T1^7*T2^4 - 1004*T1^8*T2^4 + 55*T1^9*T2^4 + 
      30*T1^10*T2^4 - 14*T2^5 - 111*T1*T2^5 + 729*T1^2*T2^5 + 549*T1^3*T2^5 - 
      1097*T1^4*T2^5 + 760*T1^5*T2^5 + 760*T1^6*T2^5 - 1097*T1^7*T2^5 + 
      549*T1^8*T2^5 + 729*T1^9*T2^5 - 111*T1^10*T2^5 - 14*T1^11*T2^5 + 
      2*T2^6 + 86*T1*T2^6 - 236*T1^2*T2^6 - 1022*T1^3*T2^6 + 367*T1^4*T2^6 + 
      760*T1^5*T2^6 - 1764*T1^6*T2^6 + 760*T1^7*T2^6 + 367*T1^8*T2^6 - 
      1022*T1^9*T2^6 - 236*T1^10*T2^6 + 86*T1^11*T2^6 + 2*T1^12*T2^6 - 
      14*T1*T2^7 - 111*T1^2*T2^7 + 729*T1^3*T2^7 + 549*T1^4*T2^7 - 
      1097*T1^5*T2^7 + 760*T1^6*T2^7 + 760*T1^7*T2^7 - 1097*T1^8*T2^7 + 
      549*T1^9*T2^7 + 729*T1^10*T2^7 - 111*T1^11*T2^7 - 14*T1^12*T2^7 + 
      30*T1^2*T2^8 + 55*T1^3*T2^8 - 1004*T1^4*T2^8 + 549*T1^5*T2^8 + 
      367*T1^6*T2^8 - 1097*T1^7*T2^8 + 367*T1^8*T2^8 + 549*T1^9*T2^8 - 
      1004*T1^10*T2^8 + 55*T1^11*T2^8 + 30*T1^12*T2^8 - 38*T1^3*T2^9 + 
      55*T1^4*T2^9 + 729*T1^5*T2^9 - 1022*T1^6*T2^9 + 549*T1^7*T2^9 + 
      549*T1^8*T2^9 - 1022*T1^9*T2^9 + 729*T1^10*T2^9 + 55*T1^11*T2^9 - 
      38*T1^12*T2^9 + 30*T1^4*T2^10 - 111*T1^5*T2^10 - 236*T1^6*T2^10 + 
      729*T1^7*T2^10 - 1004*T1^8*T2^10 + 729*T1^9*T2^10 - 236*T1^10*T2^10 - 
      111*T1^11*T2^10 + 30*T1^12*T2^10 - 14*T1^5*T2^11 + 86*T1^6*T2^11 - 
      111*T1^7*T2^11 + 55*T1^8*T2^11 + 55*T1^9*T2^11 - 111*T1^10*T2^11 + 
      86*T1^11*T2^11 - 14*T1^12*T2^11 + 2*T1^6*T2^12 - 14*T1^7*T2^12 + 
      30*T1^8*T2^12 - 38*T1^9*T2^12 + 30*T1^10*T2^12 - 14*T1^11*T2^12 + 
      2*T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, NonAlternating, 145] -> 
  {((1 + T - 2*T^2 + T^3)*(1 - 2*T + T^2 + T^3))/T^3, 
   (1 - T1 - 3*T1^2 + 7*T1^3 - 3*T1^4 - T1^5 + T1^6 - T2 - 2*T1*T2 + 
     9*T1^2*T2 - 8*T1^3*T2 - 8*T1^4*T2 + 9*T1^5*T2 - 2*T1^6*T2 - T1^7*T2 - 
     3*T2^2 + 9*T1*T2^2 - 4*T1^2*T2^2 - 16*T1^3*T2^2 + 34*T1^4*T2^2 - 
     16*T1^5*T2^2 - 4*T1^6*T2^2 + 9*T1^7*T2^2 - 3*T1^8*T2^2 + 7*T2^3 - 
     8*T1*T2^3 - 16*T1^2*T2^3 + 38*T1^3*T2^3 - 23*T1^4*T2^3 - 23*T1^5*T2^3 + 
     38*T1^6*T2^3 - 16*T1^7*T2^3 - 8*T1^8*T2^3 + 7*T1^9*T2^3 - 3*T2^4 - 
     8*T1*T2^4 + 34*T1^2*T2^4 - 23*T1^3*T2^4 - 35*T1^4*T2^4 + 75*T1^5*T2^4 - 
     35*T1^6*T2^4 - 23*T1^7*T2^4 + 34*T1^8*T2^4 - 8*T1^9*T2^4 - 
     3*T1^10*T2^4 - T2^5 + 9*T1*T2^5 - 16*T1^2*T2^5 - 23*T1^3*T2^5 + 
     75*T1^4*T2^5 - 52*T1^5*T2^5 - 52*T1^6*T2^5 + 75*T1^7*T2^5 - 
     23*T1^8*T2^5 - 16*T1^9*T2^5 + 9*T1^10*T2^5 - T1^11*T2^5 + T2^6 - 
     2*T1*T2^6 - 4*T1^2*T2^6 + 38*T1^3*T2^6 - 35*T1^4*T2^6 - 52*T1^5*T2^6 + 
     132*T1^6*T2^6 - 52*T1^7*T2^6 - 35*T1^8*T2^6 + 38*T1^9*T2^6 - 
     4*T1^10*T2^6 - 2*T1^11*T2^6 + T1^12*T2^6 - T1*T2^7 + 9*T1^2*T2^7 - 
     16*T1^3*T2^7 - 23*T1^4*T2^7 + 75*T1^5*T2^7 - 52*T1^6*T2^7 - 
     52*T1^7*T2^7 + 75*T1^8*T2^7 - 23*T1^9*T2^7 - 16*T1^10*T2^7 + 
     9*T1^11*T2^7 - T1^12*T2^7 - 3*T1^2*T2^8 - 8*T1^3*T2^8 + 34*T1^4*T2^8 - 
     23*T1^5*T2^8 - 35*T1^6*T2^8 + 75*T1^7*T2^8 - 35*T1^8*T2^8 - 
     23*T1^9*T2^8 + 34*T1^10*T2^8 - 8*T1^11*T2^8 - 3*T1^12*T2^8 + 
     7*T1^3*T2^9 - 8*T1^4*T2^9 - 16*T1^5*T2^9 + 38*T1^6*T2^9 - 23*T1^7*T2^9 - 
     23*T1^8*T2^9 + 38*T1^9*T2^9 - 16*T1^10*T2^9 - 8*T1^11*T2^9 + 
     7*T1^12*T2^9 - 3*T1^4*T2^10 + 9*T1^5*T2^10 - 4*T1^6*T2^10 - 
     16*T1^7*T2^10 + 34*T1^8*T2^10 - 16*T1^9*T2^10 - 4*T1^10*T2^10 + 
     9*T1^11*T2^10 - 3*T1^12*T2^10 - T1^5*T2^11 - 2*T1^6*T2^11 + 
     9*T1^7*T2^11 - 8*T1^8*T2^11 - 8*T1^9*T2^11 + 9*T1^10*T2^11 - 
     2*T1^11*T2^11 - T1^12*T2^11 + T1^6*T2^12 - T1^7*T2^12 - 3*T1^8*T2^12 + 
     7*T1^9*T2^12 - 3*T1^10*T2^12 - T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, NonAlternating, 146] -> 
  {(1 - 5*T + 15*T^2 - 21*T^3 + 15*T^4 - 5*T^5 + T^6)/T^3, 
   (1 - 5*T1 + 15*T1^2 - 21*T1^3 + 15*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 52*T1^2*T2 + 31*T1^3*T2 + 31*T1^4*T2 - 52*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 15*T2^2 - 52*T1*T2^2 + 142*T1^2*T2^2 - 
     47*T1^3*T2^2 - 40*T1^4*T2^2 - 47*T1^5*T2^2 + 142*T1^6*T2^2 - 
     52*T1^7*T2^2 + 15*T1^8*T2^2 - 21*T2^3 + 31*T1*T2^3 - 47*T1^2*T2^3 - 
     366*T1^3*T2^3 + 262*T1^4*T2^3 + 262*T1^5*T2^3 - 366*T1^6*T2^3 - 
     47*T1^7*T2^3 + 31*T1^8*T2^3 - 21*T1^9*T2^3 + 15*T2^4 + 31*T1*T2^4 - 
     40*T1^2*T2^4 + 262*T1^3*T2^4 + 1140*T1^4*T2^4 - 2122*T1^5*T2^4 + 
     1140*T1^6*T2^4 + 262*T1^7*T2^4 - 40*T1^8*T2^4 + 31*T1^9*T2^4 + 
     15*T1^10*T2^4 - 5*T2^5 - 52*T1*T2^5 - 47*T1^2*T2^5 + 262*T1^3*T2^5 - 
     2122*T1^4*T2^5 + 1376*T1^5*T2^5 + 1376*T1^6*T2^5 - 2122*T1^7*T2^5 + 
     262*T1^8*T2^5 - 47*T1^9*T2^5 - 52*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 + 142*T1^2*T2^6 - 366*T1^3*T2^6 + 1140*T1^4*T2^6 + 
     1376*T1^5*T2^6 - 3228*T1^6*T2^6 + 1376*T1^7*T2^6 + 1140*T1^8*T2^6 - 
     366*T1^9*T2^6 + 142*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 
     5*T1*T2^7 - 52*T1^2*T2^7 - 47*T1^3*T2^7 + 262*T1^4*T2^7 - 
     2122*T1^5*T2^7 + 1376*T1^6*T2^7 + 1376*T1^7*T2^7 - 2122*T1^8*T2^7 + 
     262*T1^9*T2^7 - 47*T1^10*T2^7 - 52*T1^11*T2^7 - 5*T1^12*T2^7 + 
     15*T1^2*T2^8 + 31*T1^3*T2^8 - 40*T1^4*T2^8 + 262*T1^5*T2^8 + 
     1140*T1^6*T2^8 - 2122*T1^7*T2^8 + 1140*T1^8*T2^8 + 262*T1^9*T2^8 - 
     40*T1^10*T2^8 + 31*T1^11*T2^8 + 15*T1^12*T2^8 - 21*T1^3*T2^9 + 
     31*T1^4*T2^9 - 47*T1^5*T2^9 - 366*T1^6*T2^9 + 262*T1^7*T2^9 + 
     262*T1^8*T2^9 - 366*T1^9*T2^9 - 47*T1^10*T2^9 + 31*T1^11*T2^9 - 
     21*T1^12*T2^9 + 15*T1^4*T2^10 - 52*T1^5*T2^10 + 142*T1^6*T2^10 - 
     47*T1^7*T2^10 - 40*T1^8*T2^10 - 47*T1^9*T2^10 + 142*T1^10*T2^10 - 
     52*T1^11*T2^10 + 15*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 
     52*T1^7*T2^11 + 31*T1^8*T2^11 + 31*T1^9*T2^11 - 52*T1^10*T2^11 + 
     20*T1^11*T2^11 - 5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 
     15*T1^8*T2^12 - 21*T1^9*T2^12 + 15*T1^10*T2^12 - 5*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   (2 - 8*T1 + 14*T1^2 - 10*T1^3 + 6*T1^4 - 10*T1^5 + 14*T1^6 - 8*T1^7 + 
     2*T1^8 - 8*T2 + 24*T1*T2 - 24*T1^2*T2 - 16*T1^3*T2 + 16*T1^4*T2 + 
     16*T1^5*T2 - 16*T1^6*T2 - 24*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 
     14*T2^2 - 24*T1*T2^2 - 17*T1^2*T2^2 + 101*T1^3*T2^2 - 25*T1^4*T2^2 - 
     39*T1^5*T2^2 - 25*T1^6*T2^2 + 101*T1^7*T2^2 - 17*T1^8*T2^2 - 
     24*T1^9*T2^2 + 14*T1^10*T2^2 - 10*T2^3 - 16*T1*T2^3 + 101*T1^2*T2^3 - 
     130*T1^3*T2^3 - 101*T1^4*T2^3 + 94*T1^5*T2^3 + 94*T1^6*T2^3 - 
     101*T1^7*T2^3 - 130*T1^8*T2^3 + 101*T1^9*T2^3 - 16*T1^10*T2^3 - 
     10*T1^11*T2^3 + 6*T2^4 + 16*T1*T2^4 - 25*T1^2*T2^4 - 101*T1^3*T2^4 + 
     338*T1^4*T2^4 - 120*T1^5*T2^4 - 66*T1^6*T2^4 - 120*T1^7*T2^4 + 
     338*T1^8*T2^4 - 101*T1^9*T2^4 - 25*T1^10*T2^4 + 16*T1^11*T2^4 + 
     6*T1^12*T2^4 - 10*T2^5 + 16*T1*T2^5 - 39*T1^2*T2^5 + 94*T1^3*T2^5 - 
     120*T1^4*T2^5 - 118*T1^5*T2^5 + 107*T1^6*T2^5 + 107*T1^7*T2^5 - 
     118*T1^8*T2^5 - 120*T1^9*T2^5 + 94*T1^10*T2^5 - 39*T1^11*T2^5 + 
     16*T1^12*T2^5 - 10*T1^13*T2^5 + 14*T2^6 - 16*T1*T2^6 - 25*T1^2*T2^6 + 
     94*T1^3*T2^6 - 66*T1^4*T2^6 + 107*T1^5*T2^6 - 88*T1^6*T2^6 + 
     60*T1^7*T2^6 - 88*T1^8*T2^6 + 107*T1^9*T2^6 - 66*T1^10*T2^6 + 
     94*T1^11*T2^6 - 25*T1^12*T2^6 - 16*T1^13*T2^6 + 14*T1^14*T2^6 - 8*T2^7 - 
     24*T1*T2^7 + 101*T1^2*T2^7 - 101*T1^3*T2^7 - 120*T1^4*T2^7 + 
     107*T1^5*T2^7 + 60*T1^6*T2^7 - 60*T1^7*T2^7 - 60*T1^8*T2^7 + 
     60*T1^9*T2^7 + 107*T1^10*T2^7 - 120*T1^11*T2^7 - 101*T1^12*T2^7 + 
     101*T1^13*T2^7 - 24*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 24*T1*T2^8 - 
     17*T1^2*T2^8 - 130*T1^3*T2^8 + 338*T1^4*T2^8 - 118*T1^5*T2^8 - 
     88*T1^6*T2^8 - 60*T1^7*T2^8 + 192*T1^8*T2^8 - 60*T1^9*T2^8 - 
     88*T1^10*T2^8 - 118*T1^11*T2^8 + 338*T1^12*T2^8 - 130*T1^13*T2^8 - 
     17*T1^14*T2^8 + 24*T1^15*T2^8 + 2*T1^16*T2^8 - 8*T1*T2^9 - 
     24*T1^2*T2^9 + 101*T1^3*T2^9 - 101*T1^4*T2^9 - 120*T1^5*T2^9 + 
     107*T1^6*T2^9 + 60*T1^7*T2^9 - 60*T1^8*T2^9 - 60*T1^9*T2^9 + 
     60*T1^10*T2^9 + 107*T1^11*T2^9 - 120*T1^12*T2^9 - 101*T1^13*T2^9 + 
     101*T1^14*T2^9 - 24*T1^15*T2^9 - 8*T1^16*T2^9 + 14*T1^2*T2^10 - 
     16*T1^3*T2^10 - 25*T1^4*T2^10 + 94*T1^5*T2^10 - 66*T1^6*T2^10 + 
     107*T1^7*T2^10 - 88*T1^8*T2^10 + 60*T1^9*T2^10 - 88*T1^10*T2^10 + 
     107*T1^11*T2^10 - 66*T1^12*T2^10 + 94*T1^13*T2^10 - 25*T1^14*T2^10 - 
     16*T1^15*T2^10 + 14*T1^16*T2^10 - 10*T1^3*T2^11 + 16*T1^4*T2^11 - 
     39*T1^5*T2^11 + 94*T1^6*T2^11 - 120*T1^7*T2^11 - 118*T1^8*T2^11 + 
     107*T1^9*T2^11 + 107*T1^10*T2^11 - 118*T1^11*T2^11 - 120*T1^12*T2^11 + 
     94*T1^13*T2^11 - 39*T1^14*T2^11 + 16*T1^15*T2^11 - 10*T1^16*T2^11 + 
     6*T1^4*T2^12 + 16*T1^5*T2^12 - 25*T1^6*T2^12 - 101*T1^7*T2^12 + 
     338*T1^8*T2^12 - 120*T1^9*T2^12 - 66*T1^10*T2^12 - 120*T1^11*T2^12 + 
     338*T1^12*T2^12 - 101*T1^13*T2^12 - 25*T1^14*T2^12 + 16*T1^15*T2^12 + 
     6*T1^16*T2^12 - 10*T1^5*T2^13 - 16*T1^6*T2^13 + 101*T1^7*T2^13 - 
     130*T1^8*T2^13 - 101*T1^9*T2^13 + 94*T1^10*T2^13 + 94*T1^11*T2^13 - 
     101*T1^12*T2^13 - 130*T1^13*T2^13 + 101*T1^14*T2^13 - 16*T1^15*T2^13 - 
     10*T1^16*T2^13 + 14*T1^6*T2^14 - 24*T1^7*T2^14 - 17*T1^8*T2^14 + 
     101*T1^9*T2^14 - 25*T1^10*T2^14 - 39*T1^11*T2^14 - 25*T1^12*T2^14 + 
     101*T1^13*T2^14 - 17*T1^14*T2^14 - 24*T1^15*T2^14 + 14*T1^16*T2^14 - 
     8*T1^7*T2^15 + 24*T1^8*T2^15 - 24*T1^9*T2^15 - 16*T1^10*T2^15 + 
     16*T1^11*T2^15 + 16*T1^12*T2^15 - 16*T1^13*T2^15 - 24*T1^14*T2^15 + 
     24*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)/(T1^8*T2^8)}, 
 Knot[11, NonAlternating, 148] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(1 - T + T^2 - T^3 + T^4))/T^4), 
   -((1 - 5*T1 + 10*T1^2 - 14*T1^3 + 15*T1^4 - 14*T1^5 + 10*T1^6 - 5*T1^7 + 
      T1^8 - 5*T2 + 20*T1*T2 - 25*T1^2*T2 + 20*T1^3*T2 - 5*T1^4*T2 - 
      5*T1^5*T2 + 20*T1^6*T2 - 25*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
      10*T2^2 - 25*T1*T2^2 - 15*T1^2*T2^2 + 60*T1^3*T2^2 - 100*T1^4*T2^2 + 
      95*T1^5*T2^2 - 100*T1^6*T2^2 + 60*T1^7*T2^2 - 15*T1^8*T2^2 - 
      25*T1^9*T2^2 + 10*T1^10*T2^2 - 14*T2^3 + 20*T1*T2^3 + 60*T1^2*T2^3 - 
      74*T1^3*T2^3 + 76*T1^4*T2^3 - 6*T1^5*T2^3 - 6*T1^6*T2^3 + 
      76*T1^7*T2^3 - 74*T1^8*T2^3 + 60*T1^9*T2^3 + 20*T1^10*T2^3 - 
      14*T1^11*T2^3 + 15*T2^4 - 5*T1*T2^4 - 100*T1^2*T2^4 + 76*T1^3*T2^4 - 
      96*T1^4*T2^4 + 13*T1^5*T2^4 - 40*T1^6*T2^4 + 13*T1^7*T2^4 - 
      96*T1^8*T2^4 + 76*T1^9*T2^4 - 100*T1^10*T2^4 - 5*T1^11*T2^4 + 
      15*T1^12*T2^4 - 14*T2^5 - 5*T1*T2^5 + 95*T1^2*T2^5 - 6*T1^3*T2^5 + 
      13*T1^4*T2^5 + 88*T1^5*T2^5 - 11*T1^6*T2^5 - 11*T1^7*T2^5 + 
      88*T1^8*T2^5 + 13*T1^9*T2^5 - 6*T1^10*T2^5 + 95*T1^11*T2^5 - 
      5*T1^12*T2^5 - 14*T1^13*T2^5 + 10*T2^6 + 20*T1*T2^6 - 100*T1^2*T2^6 - 
      6*T1^3*T2^6 - 40*T1^4*T2^6 - 11*T1^5*T2^6 - 101*T1^6*T2^6 + 
      107*T1^7*T2^6 - 101*T1^8*T2^6 - 11*T1^9*T2^6 - 40*T1^10*T2^6 - 
      6*T1^11*T2^6 - 100*T1^12*T2^6 + 20*T1^13*T2^6 + 10*T1^14*T2^6 - 
      5*T2^7 - 25*T1*T2^7 + 60*T1^2*T2^7 + 76*T1^3*T2^7 + 13*T1^4*T2^7 - 
      11*T1^5*T2^7 + 107*T1^6*T2^7 - 42*T1^7*T2^7 - 42*T1^8*T2^7 + 
      107*T1^9*T2^7 - 11*T1^10*T2^7 + 13*T1^11*T2^7 + 76*T1^12*T2^7 + 
      60*T1^13*T2^7 - 25*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 - 
      15*T1^2*T2^8 - 74*T1^3*T2^8 - 96*T1^4*T2^8 + 88*T1^5*T2^8 - 
      101*T1^6*T2^8 - 42*T1^7*T2^8 + 96*T1^8*T2^8 - 42*T1^9*T2^8 - 
      101*T1^10*T2^8 + 88*T1^11*T2^8 - 96*T1^12*T2^8 - 74*T1^13*T2^8 - 
      15*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 25*T1^2*T2^9 + 
      60*T1^3*T2^9 + 76*T1^4*T2^9 + 13*T1^5*T2^9 - 11*T1^6*T2^9 + 
      107*T1^7*T2^9 - 42*T1^8*T2^9 - 42*T1^9*T2^9 + 107*T1^10*T2^9 - 
      11*T1^11*T2^9 + 13*T1^12*T2^9 + 76*T1^13*T2^9 + 60*T1^14*T2^9 - 
      25*T1^15*T2^9 - 5*T1^16*T2^9 + 10*T1^2*T2^10 + 20*T1^3*T2^10 - 
      100*T1^4*T2^10 - 6*T1^5*T2^10 - 40*T1^6*T2^10 - 11*T1^7*T2^10 - 
      101*T1^8*T2^10 + 107*T1^9*T2^10 - 101*T1^10*T2^10 - 11*T1^11*T2^10 - 
      40*T1^12*T2^10 - 6*T1^13*T2^10 - 100*T1^14*T2^10 + 20*T1^15*T2^10 + 
      10*T1^16*T2^10 - 14*T1^3*T2^11 - 5*T1^4*T2^11 + 95*T1^5*T2^11 - 
      6*T1^6*T2^11 + 13*T1^7*T2^11 + 88*T1^8*T2^11 - 11*T1^9*T2^11 - 
      11*T1^10*T2^11 + 88*T1^11*T2^11 + 13*T1^12*T2^11 - 6*T1^13*T2^11 + 
      95*T1^14*T2^11 - 5*T1^15*T2^11 - 14*T1^16*T2^11 + 15*T1^4*T2^12 - 
      5*T1^5*T2^12 - 100*T1^6*T2^12 + 76*T1^7*T2^12 - 96*T1^8*T2^12 + 
      13*T1^9*T2^12 - 40*T1^10*T2^12 + 13*T1^11*T2^12 - 96*T1^12*T2^12 + 
      76*T1^13*T2^12 - 100*T1^14*T2^12 - 5*T1^15*T2^12 + 15*T1^16*T2^12 - 
      14*T1^5*T2^13 + 20*T1^6*T2^13 + 60*T1^7*T2^13 - 74*T1^8*T2^13 + 
      76*T1^9*T2^13 - 6*T1^10*T2^13 - 6*T1^11*T2^13 + 76*T1^12*T2^13 - 
      74*T1^13*T2^13 + 60*T1^14*T2^13 + 20*T1^15*T2^13 - 14*T1^16*T2^13 + 
      10*T1^6*T2^14 - 25*T1^7*T2^14 - 15*T1^8*T2^14 + 60*T1^9*T2^14 - 
      100*T1^10*T2^14 + 95*T1^11*T2^14 - 100*T1^12*T2^14 + 60*T1^13*T2^14 - 
      15*T1^14*T2^14 - 25*T1^15*T2^14 + 10*T1^16*T2^14 - 5*T1^7*T2^15 + 
      20*T1^8*T2^15 - 25*T1^9*T2^15 + 20*T1^10*T2^15 - 5*T1^11*T2^15 - 
      5*T1^12*T2^15 + 20*T1^13*T2^15 - 25*T1^14*T2^15 + 20*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)/(T1^8*T2^8))}, 
 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, 
   (2 - 8*T1 + 12*T1^2 - 8*T1^3 + 6*T1^4 - 8*T1^5 + 12*T1^6 - 8*T1^7 + 
     2*T1^8 - 8*T2 + 24*T1*T2 - 16*T1^2*T2 - 16*T1^3*T2 + 8*T1^4*T2 + 
     8*T1^5*T2 - 16*T1^6*T2 - 16*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 12*T2^2 - 
     16*T1*T2^2 - 44*T1^2*T2^2 + 96*T1^3*T2^2 - 20*T1^4*T2^2 - 20*T1^6*T2^2 + 
     96*T1^7*T2^2 - 44*T1^8*T2^2 - 16*T1^9*T2^2 + 12*T1^10*T2^2 - 8*T2^3 - 
     16*T1*T2^3 + 96*T1^2*T2^3 - 70*T1^3*T2^3 - 91*T1^4*T2^3 + 35*T1^5*T2^3 + 
     35*T1^6*T2^3 - 91*T1^7*T2^3 - 70*T1^8*T2^3 + 96*T1^9*T2^3 - 
     16*T1^10*T2^3 - 8*T1^11*T2^3 + 6*T2^4 + 8*T1*T2^4 - 20*T1^2*T2^4 - 
     91*T1^3*T2^4 + 204*T1^4*T2^4 - 52*T1^5*T2^4 + 18*T1^6*T2^4 - 
     52*T1^7*T2^4 + 204*T1^8*T2^4 - 91*T1^9*T2^4 - 20*T1^10*T2^4 + 
     8*T1^11*T2^4 + 6*T1^12*T2^4 - 8*T2^5 + 8*T1*T2^5 + 35*T1^3*T2^5 - 
     52*T1^4*T2^5 - 52*T1^5*T2^5 + 15*T1^6*T2^5 + 15*T1^7*T2^5 - 
     52*T1^8*T2^5 - 52*T1^9*T2^5 + 35*T1^10*T2^5 + 8*T1^12*T2^5 - 
     8*T1^13*T2^5 + 12*T2^6 - 16*T1*T2^6 - 20*T1^2*T2^6 + 35*T1^3*T2^6 + 
     18*T1^4*T2^6 + 15*T1^5*T2^6 - 14*T1^6*T2^6 + 24*T1^7*T2^6 - 
     14*T1^8*T2^6 + 15*T1^9*T2^6 + 18*T1^10*T2^6 + 35*T1^11*T2^6 - 
     20*T1^12*T2^6 - 16*T1^13*T2^6 + 12*T1^14*T2^6 - 8*T2^7 - 16*T1*T2^7 + 
     96*T1^2*T2^7 - 91*T1^3*T2^7 - 52*T1^4*T2^7 + 15*T1^5*T2^7 + 
     24*T1^6*T2^7 - 6*T1^7*T2^7 - 6*T1^8*T2^7 + 24*T1^9*T2^7 + 
     15*T1^10*T2^7 - 52*T1^11*T2^7 - 91*T1^12*T2^7 + 96*T1^13*T2^7 - 
     16*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 24*T1*T2^8 - 44*T1^2*T2^8 - 
     70*T1^3*T2^8 + 204*T1^4*T2^8 - 52*T1^5*T2^8 - 14*T1^6*T2^8 - 
     6*T1^7*T2^8 - 12*T1^8*T2^8 - 6*T1^9*T2^8 - 14*T1^10*T2^8 - 
     52*T1^11*T2^8 + 204*T1^12*T2^8 - 70*T1^13*T2^8 - 44*T1^14*T2^8 + 
     24*T1^15*T2^8 + 2*T1^16*T2^8 - 8*T1*T2^9 - 16*T1^2*T2^9 + 96*T1^3*T2^9 - 
     91*T1^4*T2^9 - 52*T1^5*T2^9 + 15*T1^6*T2^9 + 24*T1^7*T2^9 - 
     6*T1^8*T2^9 - 6*T1^9*T2^9 + 24*T1^10*T2^9 + 15*T1^11*T2^9 - 
     52*T1^12*T2^9 - 91*T1^13*T2^9 + 96*T1^14*T2^9 - 16*T1^15*T2^9 - 
     8*T1^16*T2^9 + 12*T1^2*T2^10 - 16*T1^3*T2^10 - 20*T1^4*T2^10 + 
     35*T1^5*T2^10 + 18*T1^6*T2^10 + 15*T1^7*T2^10 - 14*T1^8*T2^10 + 
     24*T1^9*T2^10 - 14*T1^10*T2^10 + 15*T1^11*T2^10 + 18*T1^12*T2^10 + 
     35*T1^13*T2^10 - 20*T1^14*T2^10 - 16*T1^15*T2^10 + 12*T1^16*T2^10 - 
     8*T1^3*T2^11 + 8*T1^4*T2^11 + 35*T1^6*T2^11 - 52*T1^7*T2^11 - 
     52*T1^8*T2^11 + 15*T1^9*T2^11 + 15*T1^10*T2^11 - 52*T1^11*T2^11 - 
     52*T1^12*T2^11 + 35*T1^13*T2^11 + 8*T1^15*T2^11 - 8*T1^16*T2^11 + 
     6*T1^4*T2^12 + 8*T1^5*T2^12 - 20*T1^6*T2^12 - 91*T1^7*T2^12 + 
     204*T1^8*T2^12 - 52*T1^9*T2^12 + 18*T1^10*T2^12 - 52*T1^11*T2^12 + 
     204*T1^12*T2^12 - 91*T1^13*T2^12 - 20*T1^14*T2^12 + 8*T1^15*T2^12 + 
     6*T1^16*T2^12 - 8*T1^5*T2^13 - 16*T1^6*T2^13 + 96*T1^7*T2^13 - 
     70*T1^8*T2^13 - 91*T1^9*T2^13 + 35*T1^10*T2^13 + 35*T1^11*T2^13 - 
     91*T1^12*T2^13 - 70*T1^13*T2^13 + 96*T1^14*T2^13 - 16*T1^15*T2^13 - 
     8*T1^16*T2^13 + 12*T1^6*T2^14 - 16*T1^7*T2^14 - 44*T1^8*T2^14 + 
     96*T1^9*T2^14 - 20*T1^10*T2^14 - 20*T1^12*T2^14 + 96*T1^13*T2^14 - 
     44*T1^14*T2^14 - 16*T1^15*T2^14 + 12*T1^16*T2^14 - 8*T1^7*T2^15 + 
     24*T1^8*T2^15 - 16*T1^9*T2^15 - 16*T1^10*T2^15 + 8*T1^11*T2^15 + 
     8*T1^12*T2^15 - 16*T1^13*T2^15 - 16*T1^14*T2^15 + 24*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)/(T1^8*T2^8)}, 
 Knot[11, NonAlternating, 150] -> 
  {(2 - 9*T + 17*T^2 - 19*T^3 + 17*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (9 - 40*T1 + 74*T1^2 - 81*T1^3 + 74*T1^4 - 40*T1^5 + 9*T1^6 - 40*T2 + 
     138*T1*T2 - 152*T1^2*T2 + 32*T1^3*T2 + 32*T1^4*T2 - 152*T1^5*T2 + 
     138*T1^6*T2 - 40*T1^7*T2 + 74*T2^2 - 152*T1*T2^2 - 109*T1^2*T2^2 + 
     485*T1^3*T2^2 - 421*T1^4*T2^2 + 485*T1^5*T2^2 - 109*T1^6*T2^2 - 
     152*T1^7*T2^2 + 74*T1^8*T2^2 - 81*T2^3 + 32*T1*T2^3 + 485*T1^2*T2^3 - 
     668*T1^3*T2^3 + 28*T1^4*T2^3 + 28*T1^5*T2^3 - 668*T1^6*T2^3 + 
     485*T1^7*T2^3 + 32*T1^8*T2^3 - 81*T1^9*T2^3 + 74*T2^4 + 32*T1*T2^4 - 
     421*T1^2*T2^4 + 28*T1^3*T2^4 + 964*T1^4*T2^4 - 708*T1^5*T2^4 + 
     964*T1^6*T2^4 + 28*T1^7*T2^4 - 421*T1^8*T2^4 + 32*T1^9*T2^4 + 
     74*T1^10*T2^4 - 40*T2^5 - 152*T1*T2^5 + 485*T1^2*T2^5 + 28*T1^3*T2^5 - 
     708*T1^4*T2^5 - 12*T1^5*T2^5 - 12*T1^6*T2^5 - 708*T1^7*T2^5 + 
     28*T1^8*T2^5 + 485*T1^9*T2^5 - 152*T1^10*T2^5 - 40*T1^11*T2^5 + 9*T2^6 + 
     138*T1*T2^6 - 109*T1^2*T2^6 - 668*T1^3*T2^6 + 964*T1^4*T2^6 - 
     12*T1^5*T2^6 + 204*T1^6*T2^6 - 12*T1^7*T2^6 + 964*T1^8*T2^6 - 
     668*T1^9*T2^6 - 109*T1^10*T2^6 + 138*T1^11*T2^6 + 9*T1^12*T2^6 - 
     40*T1*T2^7 - 152*T1^2*T2^7 + 485*T1^3*T2^7 + 28*T1^4*T2^7 - 
     708*T1^5*T2^7 - 12*T1^6*T2^7 - 12*T1^7*T2^7 - 708*T1^8*T2^7 + 
     28*T1^9*T2^7 + 485*T1^10*T2^7 - 152*T1^11*T2^7 - 40*T1^12*T2^7 + 
     74*T1^2*T2^8 + 32*T1^3*T2^8 - 421*T1^4*T2^8 + 28*T1^5*T2^8 + 
     964*T1^6*T2^8 - 708*T1^7*T2^8 + 964*T1^8*T2^8 + 28*T1^9*T2^8 - 
     421*T1^10*T2^8 + 32*T1^11*T2^8 + 74*T1^12*T2^8 - 81*T1^3*T2^9 + 
     32*T1^4*T2^9 + 485*T1^5*T2^9 - 668*T1^6*T2^9 + 28*T1^7*T2^9 + 
     28*T1^8*T2^9 - 668*T1^9*T2^9 + 485*T1^10*T2^9 + 32*T1^11*T2^9 - 
     81*T1^12*T2^9 + 74*T1^4*T2^10 - 152*T1^5*T2^10 - 109*T1^6*T2^10 + 
     485*T1^7*T2^10 - 421*T1^8*T2^10 + 485*T1^9*T2^10 - 109*T1^10*T2^10 - 
     152*T1^11*T2^10 + 74*T1^12*T2^10 - 40*T1^5*T2^11 + 138*T1^6*T2^11 - 
     152*T1^7*T2^11 + 32*T1^8*T2^11 + 32*T1^9*T2^11 - 152*T1^10*T2^11 + 
     138*T1^11*T2^11 - 40*T1^12*T2^11 + 9*T1^6*T2^12 - 40*T1^7*T2^12 + 
     74*T1^8*T2^12 - 81*T1^9*T2^12 + 74*T1^10*T2^12 - 40*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, NonAlternating, 151] -> 
  {-((2 - 6*T + 7*T^2 - 6*T^3 + 2*T^4)/T^2), 
   -((11 - 29*T1 + 29*T1^2 - 29*T1^3 + 11*T1^4 - 29*T2 + 48*T1*T2 + 
      2*T1^2*T2 + 2*T1^3*T2 + 48*T1^4*T2 - 29*T1^5*T2 + 29*T2^2 + 2*T1*T2^2 - 
      121*T1^2*T2^2 + 67*T1^3*T2^2 - 121*T1^4*T2^2 + 2*T1^5*T2^2 + 
      29*T1^6*T2^2 - 29*T2^3 + 2*T1*T2^3 + 67*T1^2*T2^3 + 54*T1^3*T2^3 + 
      54*T1^4*T2^3 + 67*T1^5*T2^3 + 2*T1^6*T2^3 - 29*T1^7*T2^3 + 11*T2^4 + 
      48*T1*T2^4 - 121*T1^2*T2^4 + 54*T1^3*T2^4 - 204*T1^4*T2^4 + 
      54*T1^5*T2^4 - 121*T1^6*T2^4 + 48*T1^7*T2^4 + 11*T1^8*T2^4 - 
      29*T1*T2^5 + 2*T1^2*T2^5 + 67*T1^3*T2^5 + 54*T1^4*T2^5 + 54*T1^5*T2^5 + 
      67*T1^6*T2^5 + 2*T1^7*T2^5 - 29*T1^8*T2^5 + 29*T1^2*T2^6 + 
      2*T1^3*T2^6 - 121*T1^4*T2^6 + 67*T1^5*T2^6 - 121*T1^6*T2^6 + 
      2*T1^7*T2^6 + 29*T1^8*T2^6 - 29*T1^3*T2^7 + 48*T1^4*T2^7 + 
      2*T1^5*T2^7 + 2*T1^6*T2^7 + 48*T1^7*T2^7 - 29*T1^8*T2^7 + 
      11*T1^4*T2^8 - 29*T1^5*T2^8 + 29*T1^6*T2^8 - 29*T1^7*T2^8 + 
      11*T1^8*T2^8)/(T1^4*T2^4))}, 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 - 13*T1^2*T2^2 + 29*T1^3*T2^2 - 31*T1^4*T2^2 + 
     29*T1^5*T2^2 - 13*T1^6*T2^2 + 2*T1^7*T2^2 + T1^8*T2^2 - 2*T2^3 + 
     29*T1^2*T2^3 - 48*T1^3*T2^3 - 48*T1^6*T2^3 + 29*T1^7*T2^3 - 
     2*T1^9*T2^3 + T2^4 - 31*T1^2*T2^4 + 121*T1^4*T2^4 - 69*T1^5*T2^4 + 
     121*T1^6*T2^4 - 31*T1^8*T2^4 + T1^10*T2^4 + 2*T1*T2^5 + 29*T1^2*T2^5 - 
     69*T1^4*T2^5 - 56*T1^5*T2^5 - 56*T1^6*T2^5 - 69*T1^7*T2^5 + 
     29*T1^9*T2^5 + 2*T1^10*T2^5 - 2*T1*T2^6 - 13*T1^2*T2^6 - 48*T1^3*T2^6 + 
     121*T1^4*T2^6 - 56*T1^5*T2^6 + 216*T1^6*T2^6 - 56*T1^7*T2^6 + 
     121*T1^8*T2^6 - 48*T1^9*T2^6 - 13*T1^10*T2^6 - 2*T1^11*T2^6 + 
     2*T1^2*T2^7 + 29*T1^3*T2^7 - 69*T1^5*T2^7 - 56*T1^6*T2^7 - 
     56*T1^7*T2^7 - 69*T1^8*T2^7 + 29*T1^10*T2^7 + 2*T1^11*T2^7 + T1^2*T2^8 - 
     31*T1^4*T2^8 + 121*T1^6*T2^8 - 69*T1^7*T2^8 + 121*T1^8*T2^8 - 
     31*T1^10*T2^8 + T1^12*T2^8 - 2*T1^3*T2^9 + 29*T1^5*T2^9 - 48*T1^6*T2^9 - 
     48*T1^9*T2^9 + 29*T1^10*T2^9 - 2*T1^12*T2^9 + T1^4*T2^10 + 
     2*T1^5*T2^10 - 13*T1^6*T2^10 + 29*T1^7*T2^10 - 31*T1^8*T2^10 + 
     29*T1^9*T2^10 - 13*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)/(T1^6*T2^6)}, 
 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, 
   (1 - 4*T1 + 6*T1^2 - 5*T1^3 + 6*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 10*T1*T2 - 
     4*T1^2*T2 - 4*T1^3*T2 - 4*T1^4*T2 - 4*T1^5*T2 + 10*T1^6*T2 - 4*T1^7*T2 + 
     6*T2^2 - 4*T1*T2^2 - 18*T1^2*T2^2 + 12*T1^3*T2^2 + 12*T1^4*T2^2 + 
     12*T1^5*T2^2 - 18*T1^6*T2^2 - 4*T1^7*T2^2 + 6*T1^8*T2^2 - 5*T2^3 - 
     4*T1*T2^3 + 12*T1^2*T2^3 + 28*T1^3*T2^3 - 26*T1^4*T2^3 - 26*T1^5*T2^3 + 
     28*T1^6*T2^3 + 12*T1^7*T2^3 - 4*T1^8*T2^3 - 5*T1^9*T2^3 + 6*T2^4 - 
     4*T1*T2^4 + 12*T1^2*T2^4 - 26*T1^3*T2^4 - 37*T1^4*T2^4 + 57*T1^5*T2^4 - 
     37*T1^6*T2^4 - 26*T1^7*T2^4 + 12*T1^8*T2^4 - 4*T1^9*T2^4 + 
     6*T1^10*T2^4 - 4*T2^5 - 4*T1*T2^5 + 12*T1^2*T2^5 - 26*T1^3*T2^5 + 
     57*T1^4*T2^5 + 57*T1^7*T2^5 - 26*T1^8*T2^5 + 12*T1^9*T2^5 - 
     4*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 10*T1*T2^6 - 18*T1^2*T2^6 + 
     28*T1^3*T2^6 - 37*T1^4*T2^6 - 48*T1^6*T2^6 - 37*T1^8*T2^6 + 
     28*T1^9*T2^6 - 18*T1^10*T2^6 + 10*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 
     4*T1^2*T2^7 + 12*T1^3*T2^7 - 26*T1^4*T2^7 + 57*T1^5*T2^7 + 
     57*T1^8*T2^7 - 26*T1^9*T2^7 + 12*T1^10*T2^7 - 4*T1^11*T2^7 - 
     4*T1^12*T2^7 + 6*T1^2*T2^8 - 4*T1^3*T2^8 + 12*T1^4*T2^8 - 26*T1^5*T2^8 - 
     37*T1^6*T2^8 + 57*T1^7*T2^8 - 37*T1^8*T2^8 - 26*T1^9*T2^8 + 
     12*T1^10*T2^8 - 4*T1^11*T2^8 + 6*T1^12*T2^8 - 5*T1^3*T2^9 - 
     4*T1^4*T2^9 + 12*T1^5*T2^9 + 28*T1^6*T2^9 - 26*T1^7*T2^9 - 
     26*T1^8*T2^9 + 28*T1^9*T2^9 + 12*T1^10*T2^9 - 4*T1^11*T2^9 - 
     5*T1^12*T2^9 + 6*T1^4*T2^10 - 4*T1^5*T2^10 - 18*T1^6*T2^10 + 
     12*T1^7*T2^10 + 12*T1^8*T2^10 + 12*T1^9*T2^10 - 18*T1^10*T2^10 - 
     4*T1^11*T2^10 + 6*T1^12*T2^10 - 4*T1^5*T2^11 + 10*T1^6*T2^11 - 
     4*T1^7*T2^11 - 4*T1^8*T2^11 - 4*T1^9*T2^11 - 4*T1^10*T2^11 + 
     10*T1^11*T2^11 - 4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 
     6*T1^8*T2^12 - 5*T1^9*T2^12 + 6*T1^10*T2^12 - 4*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, NonAlternating, 154] -> 
  {(1 - 7*T + 19*T^2 - 25*T^3 + 19*T^4 - 7*T^5 + T^6)/T^3, 
   (1 - 7*T1 + 19*T1^2 - 25*T1^3 + 19*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
     42*T1*T2 - 83*T1^2*T2 + 40*T1^3*T2 + 40*T1^4*T2 - 83*T1^5*T2 + 
     42*T1^6*T2 - 7*T1^7*T2 + 19*T2^2 - 83*T1*T2^2 + 29*T1^2*T2^2 + 
     330*T1^3*T2^2 - 487*T1^4*T2^2 + 330*T1^5*T2^2 + 29*T1^6*T2^2 - 
     83*T1^7*T2^2 + 19*T1^8*T2^2 - 25*T2^3 + 40*T1*T2^3 + 330*T1^2*T2^3 - 
     968*T1^3*T2^3 + 438*T1^4*T2^3 + 438*T1^5*T2^3 - 968*T1^6*T2^3 + 
     330*T1^7*T2^3 + 40*T1^8*T2^3 - 25*T1^9*T2^3 + 19*T2^4 + 40*T1*T2^4 - 
     487*T1^2*T2^4 + 438*T1^3*T2^4 + 1616*T1^4*T2^4 - 2402*T1^5*T2^4 + 
     1616*T1^6*T2^4 + 438*T1^7*T2^4 - 487*T1^8*T2^4 + 40*T1^9*T2^4 + 
     19*T1^10*T2^4 - 7*T2^5 - 83*T1*T2^5 + 330*T1^2*T2^5 + 438*T1^3*T2^5 - 
     2402*T1^4*T2^5 + 1048*T1^5*T2^5 + 1048*T1^6*T2^5 - 2402*T1^7*T2^5 + 
     438*T1^8*T2^5 + 330*T1^9*T2^5 - 83*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
     42*T1*T2^6 + 29*T1^2*T2^6 - 968*T1^3*T2^6 + 1616*T1^4*T2^6 + 
     1048*T1^5*T2^6 - 1968*T1^6*T2^6 + 1048*T1^7*T2^6 + 1616*T1^8*T2^6 - 
     968*T1^9*T2^6 + 29*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 7*T1*T2^7 - 
     83*T1^2*T2^7 + 330*T1^3*T2^7 + 438*T1^4*T2^7 - 2402*T1^5*T2^7 + 
     1048*T1^6*T2^7 + 1048*T1^7*T2^7 - 2402*T1^8*T2^7 + 438*T1^9*T2^7 + 
     330*T1^10*T2^7 - 83*T1^11*T2^7 - 7*T1^12*T2^7 + 19*T1^2*T2^8 + 
     40*T1^3*T2^8 - 487*T1^4*T2^8 + 438*T1^5*T2^8 + 1616*T1^6*T2^8 - 
     2402*T1^7*T2^8 + 1616*T1^8*T2^8 + 438*T1^9*T2^8 - 487*T1^10*T2^8 + 
     40*T1^11*T2^8 + 19*T1^12*T2^8 - 25*T1^3*T2^9 + 40*T1^4*T2^9 + 
     330*T1^5*T2^9 - 968*T1^6*T2^9 + 438*T1^7*T2^9 + 438*T1^8*T2^9 - 
     968*T1^9*T2^9 + 330*T1^10*T2^9 + 40*T1^11*T2^9 - 25*T1^12*T2^9 + 
     19*T1^4*T2^10 - 83*T1^5*T2^10 + 29*T1^6*T2^10 + 330*T1^7*T2^10 - 
     487*T1^8*T2^10 + 330*T1^9*T2^10 + 29*T1^10*T2^10 - 83*T1^11*T2^10 + 
     19*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 83*T1^7*T2^11 + 
     40*T1^8*T2^11 + 40*T1^9*T2^11 - 83*T1^10*T2^11 + 42*T1^11*T2^11 - 
     7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 19*T1^8*T2^12 - 
     25*T1^9*T2^12 + 19*T1^10*T2^12 - 7*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, NonAlternating, 155] -> 
  {(2 - 8*T + 11*T^2 - 9*T^3 + 11*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (7 - 28*T1 + 38*T1^2 - 31*T1^3 + 38*T1^4 - 28*T1^5 + 7*T1^6 - 28*T2 + 
     84*T1*T2 - 40*T1^2*T2 - 28*T1^3*T2 - 28*T1^4*T2 - 40*T1^5*T2 + 
     84*T1^6*T2 - 28*T1^7*T2 + 38*T2^2 - 40*T1*T2^2 - 202*T1^2*T2^2 + 
     282*T1^3*T2^2 - 78*T1^4*T2^2 + 282*T1^5*T2^2 - 202*T1^6*T2^2 - 
     40*T1^7*T2^2 + 38*T1^8*T2^2 - 31*T2^3 - 28*T1*T2^3 + 282*T1^2*T2^3 - 
     112*T1^3*T2^3 - 174*T1^4*T2^3 - 174*T1^5*T2^3 - 112*T1^6*T2^3 + 
     282*T1^7*T2^3 - 28*T1^8*T2^3 - 31*T1^9*T2^3 + 38*T2^4 - 28*T1*T2^4 - 
     78*T1^2*T2^4 - 174*T1^3*T2^4 + 366*T1^4*T2^4 - 150*T1^5*T2^4 + 
     366*T1^6*T2^4 - 174*T1^7*T2^4 - 78*T1^8*T2^4 - 28*T1^9*T2^4 + 
     38*T1^10*T2^4 - 28*T2^5 - 40*T1*T2^5 + 282*T1^2*T2^5 - 174*T1^3*T2^5 - 
     150*T1^4*T2^5 + 100*T1^5*T2^5 + 100*T1^6*T2^5 - 150*T1^7*T2^5 - 
     174*T1^8*T2^5 + 282*T1^9*T2^5 - 40*T1^10*T2^5 - 28*T1^11*T2^5 + 7*T2^6 + 
     84*T1*T2^6 - 202*T1^2*T2^6 - 112*T1^3*T2^6 + 366*T1^4*T2^6 + 
     100*T1^5*T2^6 - 504*T1^6*T2^6 + 100*T1^7*T2^6 + 366*T1^8*T2^6 - 
     112*T1^9*T2^6 - 202*T1^10*T2^6 + 84*T1^11*T2^6 + 7*T1^12*T2^6 - 
     28*T1*T2^7 - 40*T1^2*T2^7 + 282*T1^3*T2^7 - 174*T1^4*T2^7 - 
     150*T1^5*T2^7 + 100*T1^6*T2^7 + 100*T1^7*T2^7 - 150*T1^8*T2^7 - 
     174*T1^9*T2^7 + 282*T1^10*T2^7 - 40*T1^11*T2^7 - 28*T1^12*T2^7 + 
     38*T1^2*T2^8 - 28*T1^3*T2^8 - 78*T1^4*T2^8 - 174*T1^5*T2^8 + 
     366*T1^6*T2^8 - 150*T1^7*T2^8 + 366*T1^8*T2^8 - 174*T1^9*T2^8 - 
     78*T1^10*T2^8 - 28*T1^11*T2^8 + 38*T1^12*T2^8 - 31*T1^3*T2^9 - 
     28*T1^4*T2^9 + 282*T1^5*T2^9 - 112*T1^6*T2^9 - 174*T1^7*T2^9 - 
     174*T1^8*T2^9 - 112*T1^9*T2^9 + 282*T1^10*T2^9 - 28*T1^11*T2^9 - 
     31*T1^12*T2^9 + 38*T1^4*T2^10 - 40*T1^5*T2^10 - 202*T1^6*T2^10 + 
     282*T1^7*T2^10 - 78*T1^8*T2^10 + 282*T1^9*T2^10 - 202*T1^10*T2^10 - 
     40*T1^11*T2^10 + 38*T1^12*T2^10 - 28*T1^5*T2^11 + 84*T1^6*T2^11 - 
     40*T1^7*T2^11 - 28*T1^8*T2^11 - 28*T1^9*T2^11 - 40*T1^10*T2^11 + 
     84*T1^11*T2^11 - 28*T1^12*T2^11 + 7*T1^6*T2^12 - 28*T1^7*T2^12 + 
     38*T1^8*T2^12 - 31*T1^9*T2^12 + 38*T1^10*T2^12 - 28*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, NonAlternating, 156] -> 
  {-((1 - 7*T + 18*T^2 - 25*T^3 + 18*T^4 - 7*T^5 + T^6)/T^3), 
   -((T1 + T1^4 + T2 - 13*T1*T2 + 17*T1^2*T2 - 31*T1^3*T2 + 17*T1^4*T2 - 
      13*T1^5*T2 + T1^6*T2 + 17*T1*T2^2 + 12*T1^2*T2^2 + 21*T1^3*T2^2 + 
      21*T1^4*T2^2 + 12*T1^5*T2^2 + 17*T1^6*T2^2 - 31*T1*T2^3 + 
      21*T1^2*T2^3 - 232*T1^3*T2^3 + 202*T1^4*T2^3 - 232*T1^5*T2^3 + 
      21*T1^6*T2^3 - 31*T1^7*T2^3 + T2^4 + 17*T1*T2^4 + 21*T1^2*T2^4 + 
      202*T1^3*T2^4 + 16*T1^4*T2^4 + 16*T1^5*T2^4 + 202*T1^6*T2^4 + 
      21*T1^7*T2^4 + 17*T1^8*T2^4 + T1^9*T2^4 - 13*T1*T2^5 + 12*T1^2*T2^5 - 
      232*T1^3*T2^5 + 16*T1^4*T2^5 - 192*T1^5*T2^5 + 16*T1^6*T2^5 - 
      232*T1^7*T2^5 + 12*T1^8*T2^5 - 13*T1^9*T2^5 + T1*T2^6 + 17*T1^2*T2^6 + 
      21*T1^3*T2^6 + 202*T1^4*T2^6 + 16*T1^5*T2^6 + 16*T1^6*T2^6 + 
      202*T1^7*T2^6 + 21*T1^8*T2^6 + 17*T1^9*T2^6 + T1^10*T2^6 - 
      31*T1^3*T2^7 + 21*T1^4*T2^7 - 232*T1^5*T2^7 + 202*T1^6*T2^7 - 
      232*T1^7*T2^7 + 21*T1^8*T2^7 - 31*T1^9*T2^7 + 17*T1^4*T2^8 + 
      12*T1^5*T2^8 + 21*T1^6*T2^8 + 21*T1^7*T2^8 + 12*T1^8*T2^8 + 
      17*T1^9*T2^8 + T1^4*T2^9 - 13*T1^5*T2^9 + 17*T1^6*T2^9 - 31*T1^7*T2^9 + 
      17*T1^8*T2^9 - 13*T1^9*T2^9 + T1^10*T2^9 + T1^6*T2^10 + T1^9*T2^10)/
     (T1^5*T2^5))}, Knot[11, NonAlternating, 157] -> 
  {-(((1 - 3*T + T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3), 
   -((T1 - 2*T1^2 - 2*T1^3 + T1^4 + T2 - 12*T1*T2 + 27*T1^2*T2 - 12*T1^3*T2 + 
      27*T1^4*T2 - 12*T1^5*T2 + T1^6*T2 - 2*T2^2 + 27*T1*T2^2 - 
      48*T1^2*T2^2 - 22*T1^3*T2^2 - 22*T1^4*T2^2 - 48*T1^5*T2^2 + 
      27*T1^6*T2^2 - 2*T1^7*T2^2 - 2*T2^3 - 12*T1*T2^3 - 22*T1^2*T2^3 + 
      180*T1^3*T2^3 - 46*T1^4*T2^3 + 180*T1^5*T2^3 - 22*T1^6*T2^3 - 
      12*T1^7*T2^3 - 2*T1^8*T2^3 + T2^4 + 27*T1*T2^4 - 22*T1^2*T2^4 - 
      46*T1^3*T2^4 - 174*T1^4*T2^4 - 174*T1^5*T2^4 - 46*T1^6*T2^4 - 
      22*T1^7*T2^4 + 27*T1^8*T2^4 + T1^9*T2^4 - 12*T1*T2^5 - 48*T1^2*T2^5 + 
      180*T1^3*T2^5 - 174*T1^4*T2^5 + 624*T1^5*T2^5 - 174*T1^6*T2^5 + 
      180*T1^7*T2^5 - 48*T1^8*T2^5 - 12*T1^9*T2^5 + T1*T2^6 + 27*T1^2*T2^6 - 
      22*T1^3*T2^6 - 46*T1^4*T2^6 - 174*T1^5*T2^6 - 174*T1^6*T2^6 - 
      46*T1^7*T2^6 - 22*T1^8*T2^6 + 27*T1^9*T2^6 + T1^10*T2^6 - 2*T1^2*T2^7 - 
      12*T1^3*T2^7 - 22*T1^4*T2^7 + 180*T1^5*T2^7 - 46*T1^6*T2^7 + 
      180*T1^7*T2^7 - 22*T1^8*T2^7 - 12*T1^9*T2^7 - 2*T1^10*T2^7 - 
      2*T1^3*T2^8 + 27*T1^4*T2^8 - 48*T1^5*T2^8 - 22*T1^6*T2^8 - 
      22*T1^7*T2^8 - 48*T1^8*T2^8 + 27*T1^9*T2^8 - 2*T1^10*T2^8 + T1^4*T2^9 - 
      12*T1^5*T2^9 + 27*T1^6*T2^9 - 12*T1^7*T2^9 + 27*T1^8*T2^9 - 
      12*T1^9*T2^9 + T1^10*T2^9 + T1^6*T2^10 - 2*T1^7*T2^10 - 2*T1^8*T2^10 + 
      T1^9*T2^10)/(T1^5*T2^5))}, 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, 
   (2 - 8*T1 + 14*T1^2 - 14*T1^3 + 14*T1^4 - 14*T1^5 + 14*T1^6 - 8*T1^7 + 
     2*T1^8 - 8*T2 + 24*T1*T2 - 24*T1^2*T2 - 24*T1^7*T2 + 24*T1^8*T2 - 
     8*T1^9*T2 + 14*T2^2 - 24*T1*T2^2 - 17*T1^2*T2^2 + 74*T1^3*T2^2 - 
     34*T1^4*T2^2 + 33*T1^5*T2^2 - 34*T1^6*T2^2 + 74*T1^7*T2^2 - 
     17*T1^8*T2^2 - 24*T1^9*T2^2 + 14*T1^10*T2^2 - 14*T2^3 + 74*T1^2*T2^3 - 
     92*T1^3*T2^3 - 38*T1^4*T2^3 + 6*T1^5*T2^3 + 6*T1^6*T2^3 - 38*T1^7*T2^3 - 
     92*T1^8*T2^3 + 74*T1^9*T2^3 - 14*T1^11*T2^3 + 14*T2^4 - 34*T1^2*T2^4 - 
     38*T1^3*T2^4 + 192*T1^4*T2^4 - 80*T1^5*T2^4 + 82*T1^6*T2^4 - 
     80*T1^7*T2^4 + 192*T1^8*T2^4 - 38*T1^9*T2^4 - 34*T1^10*T2^4 + 
     14*T1^12*T2^4 - 14*T2^5 + 33*T1^2*T2^5 + 6*T1^3*T2^5 - 80*T1^4*T2^5 - 
     58*T1^5*T2^5 + T1^6*T2^5 + T1^7*T2^5 - 58*T1^8*T2^5 - 80*T1^9*T2^5 + 
     6*T1^10*T2^5 + 33*T1^11*T2^5 - 14*T1^13*T2^5 + 14*T2^6 - 34*T1^2*T2^6 + 
     6*T1^3*T2^6 + 82*T1^4*T2^6 + T1^5*T2^6 + 61*T1^6*T2^6 - 25*T1^7*T2^6 + 
     61*T1^8*T2^6 + T1^9*T2^6 + 82*T1^10*T2^6 + 6*T1^11*T2^6 - 
     34*T1^12*T2^6 + 14*T1^14*T2^6 - 8*T2^7 - 24*T1*T2^7 + 74*T1^2*T2^7 - 
     38*T1^3*T2^7 - 80*T1^4*T2^7 + T1^5*T2^7 - 25*T1^6*T2^7 - 16*T1^7*T2^7 - 
     16*T1^8*T2^7 - 25*T1^9*T2^7 + T1^10*T2^7 - 80*T1^11*T2^7 - 
     38*T1^12*T2^7 + 74*T1^13*T2^7 - 24*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 
     24*T1*T2^8 - 17*T1^2*T2^8 - 92*T1^3*T2^8 + 192*T1^4*T2^8 - 
     58*T1^5*T2^8 + 61*T1^6*T2^8 - 16*T1^7*T2^8 + 36*T1^8*T2^8 - 
     16*T1^9*T2^8 + 61*T1^10*T2^8 - 58*T1^11*T2^8 + 192*T1^12*T2^8 - 
     92*T1^13*T2^8 - 17*T1^14*T2^8 + 24*T1^15*T2^8 + 2*T1^16*T2^8 - 
     8*T1*T2^9 - 24*T1^2*T2^9 + 74*T1^3*T2^9 - 38*T1^4*T2^9 - 80*T1^5*T2^9 + 
     T1^6*T2^9 - 25*T1^7*T2^9 - 16*T1^8*T2^9 - 16*T1^9*T2^9 - 25*T1^10*T2^9 + 
     T1^11*T2^9 - 80*T1^12*T2^9 - 38*T1^13*T2^9 + 74*T1^14*T2^9 - 
     24*T1^15*T2^9 - 8*T1^16*T2^9 + 14*T1^2*T2^10 - 34*T1^4*T2^10 + 
     6*T1^5*T2^10 + 82*T1^6*T2^10 + T1^7*T2^10 + 61*T1^8*T2^10 - 
     25*T1^9*T2^10 + 61*T1^10*T2^10 + T1^11*T2^10 + 82*T1^12*T2^10 + 
     6*T1^13*T2^10 - 34*T1^14*T2^10 + 14*T1^16*T2^10 - 14*T1^3*T2^11 + 
     33*T1^5*T2^11 + 6*T1^6*T2^11 - 80*T1^7*T2^11 - 58*T1^8*T2^11 + 
     T1^9*T2^11 + T1^10*T2^11 - 58*T1^11*T2^11 - 80*T1^12*T2^11 + 
     6*T1^13*T2^11 + 33*T1^14*T2^11 - 14*T1^16*T2^11 + 14*T1^4*T2^12 - 
     34*T1^6*T2^12 - 38*T1^7*T2^12 + 192*T1^8*T2^12 - 80*T1^9*T2^12 + 
     82*T1^10*T2^12 - 80*T1^11*T2^12 + 192*T1^12*T2^12 - 38*T1^13*T2^12 - 
     34*T1^14*T2^12 + 14*T1^16*T2^12 - 14*T1^5*T2^13 + 74*T1^7*T2^13 - 
     92*T1^8*T2^13 - 38*T1^9*T2^13 + 6*T1^10*T2^13 + 6*T1^11*T2^13 - 
     38*T1^12*T2^13 - 92*T1^13*T2^13 + 74*T1^14*T2^13 - 14*T1^16*T2^13 + 
     14*T1^6*T2^14 - 24*T1^7*T2^14 - 17*T1^8*T2^14 + 74*T1^9*T2^14 - 
     34*T1^10*T2^14 + 33*T1^11*T2^14 - 34*T1^12*T2^14 + 74*T1^13*T2^14 - 
     17*T1^14*T2^14 - 24*T1^15*T2^14 + 14*T1^16*T2^14 - 8*T1^7*T2^15 + 
     24*T1^8*T2^15 - 24*T1^9*T2^15 - 24*T1^14*T2^15 + 24*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)/(T1^8*T2^8)}, 
 Knot[11, NonAlternating, 159] -> 
  {(1 - 6*T + 17*T^2 - 23*T^3 + 17*T^4 - 6*T^5 + T^6)/T^3, 
   -((1 - 6*T1 + 17*T1^2 - 23*T1^3 + 17*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
      30*T1*T2 - 67*T1^2*T2 + 36*T1^3*T2 + 36*T1^4*T2 - 67*T1^5*T2 + 
      30*T1^6*T2 - 6*T1^7*T2 + 17*T2^2 - 67*T1*T2^2 + 102*T1^2*T2^2 + 
      119*T1^3*T2^2 - 248*T1^4*T2^2 + 119*T1^5*T2^2 + 102*T1^6*T2^2 - 
      67*T1^7*T2^2 + 17*T1^8*T2^2 - 23*T2^3 + 36*T1*T2^3 + 119*T1^2*T2^3 - 
      696*T1^3*T2^3 + 384*T1^4*T2^3 + 384*T1^5*T2^3 - 696*T1^6*T2^3 + 
      119*T1^7*T2^3 + 36*T1^8*T2^3 - 23*T1^9*T2^3 + 17*T2^4 + 36*T1*T2^4 - 
      248*T1^2*T2^4 + 384*T1^3*T2^4 + 1522*T1^4*T2^4 - 2540*T1^5*T2^4 + 
      1522*T1^6*T2^4 + 384*T1^7*T2^4 - 248*T1^8*T2^4 + 36*T1^9*T2^4 + 
      17*T1^10*T2^4 - 6*T2^5 - 67*T1*T2^5 + 119*T1^2*T2^5 + 384*T1^3*T2^5 - 
      2540*T1^4*T2^5 + 1374*T1^5*T2^5 + 1374*T1^6*T2^5 - 2540*T1^7*T2^5 + 
      384*T1^8*T2^5 + 119*T1^9*T2^5 - 67*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
      30*T1*T2^6 + 102*T1^2*T2^6 - 696*T1^3*T2^6 + 1522*T1^4*T2^6 + 
      1374*T1^5*T2^6 - 2928*T1^6*T2^6 + 1374*T1^7*T2^6 + 1522*T1^8*T2^6 - 
      696*T1^9*T2^6 + 102*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 
      6*T1*T2^7 - 67*T1^2*T2^7 + 119*T1^3*T2^7 + 384*T1^4*T2^7 - 
      2540*T1^5*T2^7 + 1374*T1^6*T2^7 + 1374*T1^7*T2^7 - 2540*T1^8*T2^7 + 
      384*T1^9*T2^7 + 119*T1^10*T2^7 - 67*T1^11*T2^7 - 6*T1^12*T2^7 + 
      17*T1^2*T2^8 + 36*T1^3*T2^8 - 248*T1^4*T2^8 + 384*T1^5*T2^8 + 
      1522*T1^6*T2^8 - 2540*T1^7*T2^8 + 1522*T1^8*T2^8 + 384*T1^9*T2^8 - 
      248*T1^10*T2^8 + 36*T1^11*T2^8 + 17*T1^12*T2^8 - 23*T1^3*T2^9 + 
      36*T1^4*T2^9 + 119*T1^5*T2^9 - 696*T1^6*T2^9 + 384*T1^7*T2^9 + 
      384*T1^8*T2^9 - 696*T1^9*T2^9 + 119*T1^10*T2^9 + 36*T1^11*T2^9 - 
      23*T1^12*T2^9 + 17*T1^4*T2^10 - 67*T1^5*T2^10 + 102*T1^6*T2^10 + 
      119*T1^7*T2^10 - 248*T1^8*T2^10 + 119*T1^9*T2^10 + 102*T1^10*T2^10 - 
      67*T1^11*T2^10 + 17*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 
      67*T1^7*T2^11 + 36*T1^8*T2^11 + 36*T1^9*T2^11 - 67*T1^10*T2^11 + 
      30*T1^11*T2^11 - 6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 
      17*T1^8*T2^12 - 23*T1^9*T2^12 + 17*T1^10*T2^12 - 6*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[11, NonAlternating, 160] -> 
  {(1 - 6*T + 16*T^2 - 21*T^3 + 16*T^4 - 6*T^5 + T^6)/T^3, 
   (1 - 6*T1 + 16*T1^2 - 21*T1^3 + 16*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     30*T1*T2 - 60*T1^2*T2 + 29*T1^3*T2 + 29*T1^4*T2 - 60*T1^5*T2 + 
     30*T1^6*T2 - 6*T1^7*T2 + 16*T2^2 - 60*T1*T2^2 + 55*T1^2*T2^2 + 
     147*T1^3*T2^2 - 235*T1^4*T2^2 + 147*T1^5*T2^2 + 55*T1^6*T2^2 - 
     60*T1^7*T2^2 + 16*T1^8*T2^2 - 21*T2^3 + 29*T1*T2^3 + 147*T1^2*T2^3 - 
     532*T1^3*T2^3 + 242*T1^4*T2^3 + 242*T1^5*T2^3 - 532*T1^6*T2^3 + 
     147*T1^7*T2^3 + 29*T1^8*T2^3 - 21*T1^9*T2^3 + 16*T2^4 + 29*T1*T2^4 - 
     235*T1^2*T2^4 + 242*T1^3*T2^4 + 952*T1^4*T2^4 - 1414*T1^5*T2^4 + 
     952*T1^6*T2^4 + 242*T1^7*T2^4 - 235*T1^8*T2^4 + 29*T1^9*T2^4 + 
     16*T1^10*T2^4 - 6*T2^5 - 60*T1*T2^5 + 147*T1^2*T2^5 + 242*T1^3*T2^5 - 
     1414*T1^4*T2^5 + 630*T1^5*T2^5 + 630*T1^6*T2^5 - 1414*T1^7*T2^5 + 
     242*T1^8*T2^5 + 147*T1^9*T2^5 - 60*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     30*T1*T2^6 + 55*T1^2*T2^6 - 532*T1^3*T2^6 + 952*T1^4*T2^6 + 
     630*T1^5*T2^6 - 1212*T1^6*T2^6 + 630*T1^7*T2^6 + 952*T1^8*T2^6 - 
     532*T1^9*T2^6 + 55*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
     60*T1^2*T2^7 + 147*T1^3*T2^7 + 242*T1^4*T2^7 - 1414*T1^5*T2^7 + 
     630*T1^6*T2^7 + 630*T1^7*T2^7 - 1414*T1^8*T2^7 + 242*T1^9*T2^7 + 
     147*T1^10*T2^7 - 60*T1^11*T2^7 - 6*T1^12*T2^7 + 16*T1^2*T2^8 + 
     29*T1^3*T2^8 - 235*T1^4*T2^8 + 242*T1^5*T2^8 + 952*T1^6*T2^8 - 
     1414*T1^7*T2^8 + 952*T1^8*T2^8 + 242*T1^9*T2^8 - 235*T1^10*T2^8 + 
     29*T1^11*T2^8 + 16*T1^12*T2^8 - 21*T1^3*T2^9 + 29*T1^4*T2^9 + 
     147*T1^5*T2^9 - 532*T1^6*T2^9 + 242*T1^7*T2^9 + 242*T1^8*T2^9 - 
     532*T1^9*T2^9 + 147*T1^10*T2^9 + 29*T1^11*T2^9 - 21*T1^12*T2^9 + 
     16*T1^4*T2^10 - 60*T1^5*T2^10 + 55*T1^6*T2^10 + 147*T1^7*T2^10 - 
     235*T1^8*T2^10 + 147*T1^9*T2^10 + 55*T1^10*T2^10 - 60*T1^11*T2^10 + 
     16*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 60*T1^7*T2^11 + 
     29*T1^8*T2^11 + 29*T1^9*T2^11 - 60*T1^10*T2^11 + 30*T1^11*T2^11 - 
     6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 16*T1^8*T2^12 - 
     21*T1^9*T2^12 + 16*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, NonAlternating, 161] -> 
  {(2 - 8*T + 14*T^2 - 15*T^3 + 14*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (9 - 36*T1 + 62*T1^2 - 65*T1^3 + 62*T1^4 - 36*T1^5 + 9*T1^6 - 36*T2 + 
     108*T1*T2 - 104*T1^2*T2 + 12*T1^3*T2 + 12*T1^4*T2 - 104*T1^5*T2 + 
     108*T1^6*T2 - 36*T1^7*T2 + 62*T2^2 - 104*T1*T2^2 - 88*T1^2*T2^2 + 
     310*T1^3*T2^2 - 212*T1^4*T2^2 + 310*T1^5*T2^2 - 88*T1^6*T2^2 - 
     104*T1^7*T2^2 + 62*T1^8*T2^2 - 65*T2^3 + 12*T1*T2^3 + 310*T1^2*T2^3 - 
     372*T1^3*T2^3 - 46*T1^4*T2^3 - 46*T1^5*T2^3 - 372*T1^6*T2^3 + 
     310*T1^7*T2^3 + 12*T1^8*T2^3 - 65*T1^9*T2^3 + 62*T2^4 + 12*T1*T2^4 - 
     212*T1^2*T2^4 - 46*T1^3*T2^4 + 611*T1^4*T2^4 - 377*T1^5*T2^4 + 
     611*T1^6*T2^4 - 46*T1^7*T2^4 - 212*T1^8*T2^4 + 12*T1^9*T2^4 + 
     62*T1^10*T2^4 - 36*T2^5 - 104*T1*T2^5 + 310*T1^2*T2^5 - 46*T1^3*T2^5 - 
     377*T1^4*T2^5 - 28*T1^5*T2^5 - 28*T1^6*T2^5 - 377*T1^7*T2^5 - 
     46*T1^8*T2^5 + 310*T1^9*T2^5 - 104*T1^10*T2^5 - 36*T1^11*T2^5 + 9*T2^6 + 
     108*T1*T2^6 - 88*T1^2*T2^6 - 372*T1^3*T2^6 + 611*T1^4*T2^6 - 
     28*T1^5*T2^6 + 108*T1^6*T2^6 - 28*T1^7*T2^6 + 611*T1^8*T2^6 - 
     372*T1^9*T2^6 - 88*T1^10*T2^6 + 108*T1^11*T2^6 + 9*T1^12*T2^6 - 
     36*T1*T2^7 - 104*T1^2*T2^7 + 310*T1^3*T2^7 - 46*T1^4*T2^7 - 
     377*T1^5*T2^7 - 28*T1^6*T2^7 - 28*T1^7*T2^7 - 377*T1^8*T2^7 - 
     46*T1^9*T2^7 + 310*T1^10*T2^7 - 104*T1^11*T2^7 - 36*T1^12*T2^7 + 
     62*T1^2*T2^8 + 12*T1^3*T2^8 - 212*T1^4*T2^8 - 46*T1^5*T2^8 + 
     611*T1^6*T2^8 - 377*T1^7*T2^8 + 611*T1^8*T2^8 - 46*T1^9*T2^8 - 
     212*T1^10*T2^8 + 12*T1^11*T2^8 + 62*T1^12*T2^8 - 65*T1^3*T2^9 + 
     12*T1^4*T2^9 + 310*T1^5*T2^9 - 372*T1^6*T2^9 - 46*T1^7*T2^9 - 
     46*T1^8*T2^9 - 372*T1^9*T2^9 + 310*T1^10*T2^9 + 12*T1^11*T2^9 - 
     65*T1^12*T2^9 + 62*T1^4*T2^10 - 104*T1^5*T2^10 - 88*T1^6*T2^10 + 
     310*T1^7*T2^10 - 212*T1^8*T2^10 + 310*T1^9*T2^10 - 88*T1^10*T2^10 - 
     104*T1^11*T2^10 + 62*T1^12*T2^10 - 36*T1^5*T2^11 + 108*T1^6*T2^11 - 
     104*T1^7*T2^11 + 12*T1^8*T2^11 + 12*T1^9*T2^11 - 104*T1^10*T2^11 + 
     108*T1^11*T2^11 - 36*T1^12*T2^11 + 9*T1^6*T2^12 - 36*T1^7*T2^12 + 
     62*T1^8*T2^12 - 65*T1^9*T2^12 + 62*T1^10*T2^12 - 36*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, NonAlternating, 162] -> 
  {-(((1 - 3*T + T^2)*(3 - 5*T + 3*T^2))/T^2), 
   (-2*(15 - 71*T1 + 106*T1^2 - 71*T1^3 + 15*T1^4 - 71*T2 + 272*T1*T2 - 
      167*T1^2*T2 - 167*T1^3*T2 + 272*T1^4*T2 - 71*T1^5*T2 + 106*T2^2 - 
      167*T1*T2^2 - 823*T1^2*T2^2 + 1490*T1^3*T2^2 - 823*T1^4*T2^2 - 
      167*T1^5*T2^2 + 106*T1^6*T2^2 - 71*T2^3 - 167*T1*T2^3 + 
      1490*T1^2*T2^3 - 956*T1^3*T2^3 - 956*T1^4*T2^3 + 1490*T1^5*T2^3 - 
      167*T1^6*T2^3 - 71*T1^7*T2^3 + 15*T2^4 + 272*T1*T2^4 - 823*T1^2*T2^4 - 
      956*T1^3*T2^4 + 2232*T1^4*T2^4 - 956*T1^5*T2^4 - 823*T1^6*T2^4 + 
      272*T1^7*T2^4 + 15*T1^8*T2^4 - 71*T1*T2^5 - 167*T1^2*T2^5 + 
      1490*T1^3*T2^5 - 956*T1^4*T2^5 - 956*T1^5*T2^5 + 1490*T1^6*T2^5 - 
      167*T1^7*T2^5 - 71*T1^8*T2^5 + 106*T1^2*T2^6 - 167*T1^3*T2^6 - 
      823*T1^4*T2^6 + 1490*T1^5*T2^6 - 823*T1^6*T2^6 - 167*T1^7*T2^6 + 
      106*T1^8*T2^6 - 71*T1^3*T2^7 + 272*T1^4*T2^7 - 167*T1^5*T2^7 - 
      167*T1^6*T2^7 + 272*T1^7*T2^7 - 71*T1^8*T2^7 + 15*T1^4*T2^8 - 
      71*T1^5*T2^8 + 106*T1^6*T2^8 - 71*T1^7*T2^8 + 15*T1^8*T2^8))/
    (T1^4*T2^4)}, Knot[11, NonAlternating, 163] -> 
  {(1 - 8*T + 22*T^2 - 29*T^3 + 22*T^4 - 8*T^5 + T^6)/T^3, 
   (1 - 8*T1 + 22*T1^2 - 29*T1^3 + 22*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
     56*T1*T2 - 112*T1^2*T2 + 56*T1^3*T2 + 56*T1^4*T2 - 112*T1^5*T2 + 
     56*T1^6*T2 - 8*T1^7*T2 + 22*T2^2 - 112*T1*T2^2 + 2*T1^2*T2^2 + 
     560*T1^3*T2^2 - 838*T1^4*T2^2 + 560*T1^5*T2^2 + 2*T1^6*T2^2 - 
     112*T1^7*T2^2 + 22*T1^8*T2^2 - 29*T2^3 + 56*T1*T2^3 + 560*T1^2*T2^3 - 
     1544*T1^3*T2^3 + 763*T1^4*T2^3 + 763*T1^5*T2^3 - 1544*T1^6*T2^3 + 
     560*T1^7*T2^3 + 56*T1^8*T2^3 - 29*T1^9*T2^3 + 22*T2^4 + 56*T1*T2^4 - 
     838*T1^2*T2^4 + 763*T1^3*T2^4 + 2349*T1^4*T2^4 - 3811*T1^5*T2^4 + 
     2349*T1^6*T2^4 + 763*T1^7*T2^4 - 838*T1^8*T2^4 + 56*T1^9*T2^4 + 
     22*T1^10*T2^4 - 8*T2^5 - 112*T1*T2^5 + 560*T1^2*T2^5 + 763*T1^3*T2^5 - 
     3811*T1^4*T2^5 + 1900*T1^5*T2^5 + 1900*T1^6*T2^5 - 3811*T1^7*T2^5 + 
     763*T1^8*T2^5 + 560*T1^9*T2^5 - 112*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
     56*T1*T2^6 + 2*T1^2*T2^6 - 1544*T1^3*T2^6 + 2349*T1^4*T2^6 + 
     1900*T1^5*T2^6 - 3888*T1^6*T2^6 + 1900*T1^7*T2^6 + 2349*T1^8*T2^6 - 
     1544*T1^9*T2^6 + 2*T1^10*T2^6 + 56*T1^11*T2^6 + T1^12*T2^6 - 8*T1*T2^7 - 
     112*T1^2*T2^7 + 560*T1^3*T2^7 + 763*T1^4*T2^7 - 3811*T1^5*T2^7 + 
     1900*T1^6*T2^7 + 1900*T1^7*T2^7 - 3811*T1^8*T2^7 + 763*T1^9*T2^7 + 
     560*T1^10*T2^7 - 112*T1^11*T2^7 - 8*T1^12*T2^7 + 22*T1^2*T2^8 + 
     56*T1^3*T2^8 - 838*T1^4*T2^8 + 763*T1^5*T2^8 + 2349*T1^6*T2^8 - 
     3811*T1^7*T2^8 + 2349*T1^8*T2^8 + 763*T1^9*T2^8 - 838*T1^10*T2^8 + 
     56*T1^11*T2^8 + 22*T1^12*T2^8 - 29*T1^3*T2^9 + 56*T1^4*T2^9 + 
     560*T1^5*T2^9 - 1544*T1^6*T2^9 + 763*T1^7*T2^9 + 763*T1^8*T2^9 - 
     1544*T1^9*T2^9 + 560*T1^10*T2^9 + 56*T1^11*T2^9 - 29*T1^12*T2^9 + 
     22*T1^4*T2^10 - 112*T1^5*T2^10 + 2*T1^6*T2^10 + 560*T1^7*T2^10 - 
     838*T1^8*T2^10 + 560*T1^9*T2^10 + 2*T1^10*T2^10 - 112*T1^11*T2^10 + 
     22*T1^12*T2^10 - 8*T1^5*T2^11 + 56*T1^6*T2^11 - 112*T1^7*T2^11 + 
     56*T1^8*T2^11 + 56*T1^9*T2^11 - 112*T1^10*T2^11 + 56*T1^11*T2^11 - 
     8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 22*T1^8*T2^12 - 
     29*T1^9*T2^12 + 22*T1^10*T2^12 - 8*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, NonAlternating, 164] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)^2)/T^3), 
   (-2*(1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (1 - 4*T1 + 5*T1^2 - 4*T1^3 + T1^4 - 4*T2 + 12*T1*T2 - 4*T1^2*T2 - 
      4*T1^3*T2 + 12*T1^4*T2 - 4*T1^5*T2 + 5*T2^2 - 4*T1*T2^2 - 
      31*T1^2*T2^2 + 38*T1^3*T2^2 - 31*T1^4*T2^2 - 4*T1^5*T2^2 + 
      5*T1^6*T2^2 - 4*T2^3 - 4*T1*T2^3 + 38*T1^2*T2^3 - 14*T1^3*T2^3 - 
      14*T1^4*T2^3 + 38*T1^5*T2^3 - 4*T1^6*T2^3 - 4*T1^7*T2^3 + T2^4 + 
      12*T1*T2^4 - 31*T1^2*T2^4 - 14*T1^3*T2^4 + 30*T1^4*T2^4 - 
      14*T1^5*T2^4 - 31*T1^6*T2^4 + 12*T1^7*T2^4 + T1^8*T2^4 - 4*T1*T2^5 - 
      4*T1^2*T2^5 + 38*T1^3*T2^5 - 14*T1^4*T2^5 - 14*T1^5*T2^5 + 
      38*T1^6*T2^5 - 4*T1^7*T2^5 - 4*T1^8*T2^5 + 5*T1^2*T2^6 - 4*T1^3*T2^6 - 
      31*T1^4*T2^6 + 38*T1^5*T2^6 - 31*T1^6*T2^6 - 4*T1^7*T2^6 + 
      5*T1^8*T2^6 - 4*T1^3*T2^7 + 12*T1^4*T2^7 - 4*T1^5*T2^7 - 4*T1^6*T2^7 + 
      12*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))/(T1^6*T2^6)}, 
 Knot[11, NonAlternating, 165] -> 
  {-(((1 - 3*T + T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^3), 
   -((1 - 5*T1^2 + T1^4 - 18*T1*T2 + 30*T1^2*T2 + 30*T1^3*T2 - 18*T1^4*T2 - 
      5*T2^2 + 30*T1*T2^2 + 29*T1^2*T2^2 - 187*T1^3*T2^2 + 29*T1^4*T2^2 + 
      30*T1^5*T2^2 - 5*T1^6*T2^2 + 30*T1*T2^3 - 187*T1^2*T2^3 + 
      230*T1^3*T2^3 + 230*T1^4*T2^3 - 187*T1^5*T2^3 + 30*T1^6*T2^3 + T2^4 - 
      18*T1*T2^4 + 29*T1^2*T2^4 + 230*T1^3*T2^4 - 660*T1^4*T2^4 + 
      230*T1^5*T2^4 + 29*T1^6*T2^4 - 18*T1^7*T2^4 + T1^8*T2^4 + 
      30*T1^2*T2^5 - 187*T1^3*T2^5 + 230*T1^4*T2^5 + 230*T1^5*T2^5 - 
      187*T1^6*T2^5 + 30*T1^7*T2^5 - 5*T1^2*T2^6 + 30*T1^3*T2^6 + 
      29*T1^4*T2^6 - 187*T1^5*T2^6 + 29*T1^6*T2^6 + 30*T1^7*T2^6 - 
      5*T1^8*T2^6 - 18*T1^4*T2^7 + 30*T1^5*T2^7 + 30*T1^6*T2^7 - 
      18*T1^7*T2^7 + T1^4*T2^8 - 5*T1^6*T2^8 + T1^8*T2^8)/(T1^4*T2^4))}, 
 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), 
   -((1 - 4*T1 + 8*T1^2 - 11*T1^3 + 11*T1^4 - 11*T1^5 + 8*T1^6 - 4*T1^7 + 
      T1^8 - 4*T2 + 12*T1*T2 - 16*T1^2*T2 + 12*T1^3*T2 + 12*T1^6*T2 - 
      16*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 8*T2^2 - 16*T1*T2^2 + 
      8*T1^2*T2^2 + 8*T1^3*T2^2 - 27*T1^4*T2^2 + 6*T1^5*T2^2 - 27*T1^6*T2^2 + 
      8*T1^7*T2^2 + 8*T1^8*T2^2 - 16*T1^9*T2^2 + 8*T1^10*T2^2 - 11*T2^3 + 
      12*T1*T2^3 + 8*T1^2*T2^3 - 18*T1^3*T2^3 + 29*T1^4*T2^3 + 22*T1^5*T2^3 + 
      22*T1^6*T2^3 + 29*T1^7*T2^3 - 18*T1^8*T2^3 + 8*T1^9*T2^3 + 
      12*T1^10*T2^3 - 11*T1^11*T2^3 + 11*T2^4 - 27*T1^2*T2^4 + 29*T1^3*T2^4 - 
      47*T1^4*T2^4 - 6*T1^5*T2^4 - 73*T1^6*T2^4 - 6*T1^7*T2^4 - 
      47*T1^8*T2^4 + 29*T1^9*T2^4 - 27*T1^10*T2^4 + 11*T1^12*T2^4 - 11*T2^5 + 
      6*T1^2*T2^5 + 22*T1^3*T2^5 - 6*T1^4*T2^5 + 52*T1^5*T2^5 + 
      37*T1^6*T2^5 + 37*T1^7*T2^5 + 52*T1^8*T2^5 - 6*T1^9*T2^5 + 
      22*T1^10*T2^5 + 6*T1^11*T2^5 - 11*T1^13*T2^5 + 8*T2^6 + 12*T1*T2^6 - 
      27*T1^2*T2^6 + 22*T1^3*T2^6 - 73*T1^4*T2^6 + 37*T1^5*T2^6 - 
      130*T1^6*T2^6 + 100*T1^7*T2^6 - 130*T1^8*T2^6 + 37*T1^9*T2^6 - 
      73*T1^10*T2^6 + 22*T1^11*T2^6 - 27*T1^12*T2^6 + 12*T1^13*T2^6 + 
      8*T1^14*T2^6 - 4*T2^7 - 16*T1*T2^7 + 8*T1^2*T2^7 + 29*T1^3*T2^7 - 
      6*T1^4*T2^7 + 37*T1^5*T2^7 + 100*T1^6*T2^7 - 58*T1^7*T2^7 - 
      58*T1^8*T2^7 + 100*T1^9*T2^7 + 37*T1^10*T2^7 - 6*T1^11*T2^7 + 
      29*T1^12*T2^7 + 8*T1^13*T2^7 - 16*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 
      12*T1*T2^8 + 8*T1^2*T2^8 - 18*T1^3*T2^8 - 47*T1^4*T2^8 + 52*T1^5*T2^8 - 
      130*T1^6*T2^8 - 58*T1^7*T2^8 + 192*T1^8*T2^8 - 58*T1^9*T2^8 - 
      130*T1^10*T2^8 + 52*T1^11*T2^8 - 47*T1^12*T2^8 - 18*T1^13*T2^8 + 
      8*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 16*T1^2*T2^9 + 
      8*T1^3*T2^9 + 29*T1^4*T2^9 - 6*T1^5*T2^9 + 37*T1^6*T2^9 + 
      100*T1^7*T2^9 - 58*T1^8*T2^9 - 58*T1^9*T2^9 + 100*T1^10*T2^9 + 
      37*T1^11*T2^9 - 6*T1^12*T2^9 + 29*T1^13*T2^9 + 8*T1^14*T2^9 - 
      16*T1^15*T2^9 - 4*T1^16*T2^9 + 8*T1^2*T2^10 + 12*T1^3*T2^10 - 
      27*T1^4*T2^10 + 22*T1^5*T2^10 - 73*T1^6*T2^10 + 37*T1^7*T2^10 - 
      130*T1^8*T2^10 + 100*T1^9*T2^10 - 130*T1^10*T2^10 + 37*T1^11*T2^10 - 
      73*T1^12*T2^10 + 22*T1^13*T2^10 - 27*T1^14*T2^10 + 12*T1^15*T2^10 + 
      8*T1^16*T2^10 - 11*T1^3*T2^11 + 6*T1^5*T2^11 + 22*T1^6*T2^11 - 
      6*T1^7*T2^11 + 52*T1^8*T2^11 + 37*T1^9*T2^11 + 37*T1^10*T2^11 + 
      52*T1^11*T2^11 - 6*T1^12*T2^11 + 22*T1^13*T2^11 + 6*T1^14*T2^11 - 
      11*T1^16*T2^11 + 11*T1^4*T2^12 - 27*T1^6*T2^12 + 29*T1^7*T2^12 - 
      47*T1^8*T2^12 - 6*T1^9*T2^12 - 73*T1^10*T2^12 - 6*T1^11*T2^12 - 
      47*T1^12*T2^12 + 29*T1^13*T2^12 - 27*T1^14*T2^12 + 11*T1^16*T2^12 - 
      11*T1^5*T2^13 + 12*T1^6*T2^13 + 8*T1^7*T2^13 - 18*T1^8*T2^13 + 
      29*T1^9*T2^13 + 22*T1^10*T2^13 + 22*T1^11*T2^13 + 29*T1^12*T2^13 - 
      18*T1^13*T2^13 + 8*T1^14*T2^13 + 12*T1^15*T2^13 - 11*T1^16*T2^13 + 
      8*T1^6*T2^14 - 16*T1^7*T2^14 + 8*T1^8*T2^14 + 8*T1^9*T2^14 - 
      27*T1^10*T2^14 + 6*T1^11*T2^14 - 27*T1^12*T2^14 + 8*T1^13*T2^14 + 
      8*T1^14*T2^14 - 16*T1^15*T2^14 + 8*T1^16*T2^14 - 4*T1^7*T2^15 + 
      12*T1^8*T2^15 - 16*T1^9*T2^15 + 12*T1^10*T2^15 + 12*T1^13*T2^15 - 
      16*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 
      4*T1^9*T2^16 + 8*T1^10*T2^16 - 11*T1^11*T2^16 + 11*T1^12*T2^16 - 
      11*T1^13*T2^16 + 8*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[11, NonAlternating, 167] -> 
  {(1 - 5*T + 15*T^2 - 21*T^3 + 15*T^4 - 5*T^5 + T^6)/T^3, 
   (1 - 5*T1 + 15*T1^2 - 21*T1^3 + 15*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 53*T1^2*T2 + 32*T1^3*T2 + 32*T1^4*T2 - 53*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 15*T2^2 - 53*T1*T2^2 + 144*T1^2*T2^2 - 
     48*T1^3*T2^2 - 46*T1^4*T2^2 - 48*T1^5*T2^2 + 144*T1^6*T2^2 - 
     53*T1^7*T2^2 + 15*T1^8*T2^2 - 21*T2^3 + 32*T1*T2^3 - 48*T1^2*T2^3 - 
     334*T1^3*T2^3 + 252*T1^4*T2^3 + 252*T1^5*T2^3 - 334*T1^6*T2^3 - 
     48*T1^7*T2^3 + 32*T1^8*T2^3 - 21*T1^9*T2^3 + 15*T2^4 + 32*T1*T2^4 - 
     46*T1^2*T2^4 + 252*T1^3*T2^4 + 880*T1^4*T2^4 - 1720*T1^5*T2^4 + 
     880*T1^6*T2^4 + 252*T1^7*T2^4 - 46*T1^8*T2^4 + 32*T1^9*T2^4 + 
     15*T1^10*T2^4 - 5*T2^5 - 53*T1*T2^5 - 48*T1^2*T2^5 + 252*T1^3*T2^5 - 
     1720*T1^4*T2^5 + 1132*T1^5*T2^5 + 1132*T1^6*T2^5 - 1720*T1^7*T2^5 + 
     252*T1^8*T2^5 - 48*T1^9*T2^5 - 53*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 + 144*T1^2*T2^6 - 334*T1^3*T2^6 + 880*T1^4*T2^6 + 
     1132*T1^5*T2^6 - 2652*T1^6*T2^6 + 1132*T1^7*T2^6 + 880*T1^8*T2^6 - 
     334*T1^9*T2^6 + 144*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 
     5*T1*T2^7 - 53*T1^2*T2^7 - 48*T1^3*T2^7 + 252*T1^4*T2^7 - 
     1720*T1^5*T2^7 + 1132*T1^6*T2^7 + 1132*T1^7*T2^7 - 1720*T1^8*T2^7 + 
     252*T1^9*T2^7 - 48*T1^10*T2^7 - 53*T1^11*T2^7 - 5*T1^12*T2^7 + 
     15*T1^2*T2^8 + 32*T1^3*T2^8 - 46*T1^4*T2^8 + 252*T1^5*T2^8 + 
     880*T1^6*T2^8 - 1720*T1^7*T2^8 + 880*T1^8*T2^8 + 252*T1^9*T2^8 - 
     46*T1^10*T2^8 + 32*T1^11*T2^8 + 15*T1^12*T2^8 - 21*T1^3*T2^9 + 
     32*T1^4*T2^9 - 48*T1^5*T2^9 - 334*T1^6*T2^9 + 252*T1^7*T2^9 + 
     252*T1^8*T2^9 - 334*T1^9*T2^9 - 48*T1^10*T2^9 + 32*T1^11*T2^9 - 
     21*T1^12*T2^9 + 15*T1^4*T2^10 - 53*T1^5*T2^10 + 144*T1^6*T2^10 - 
     48*T1^7*T2^10 - 46*T1^8*T2^10 - 48*T1^9*T2^10 + 144*T1^10*T2^10 - 
     53*T1^11*T2^10 + 15*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 
     53*T1^7*T2^11 + 32*T1^8*T2^11 + 32*T1^9*T2^11 - 53*T1^10*T2^11 + 
     20*T1^11*T2^11 - 5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 
     15*T1^8*T2^12 - 21*T1^9*T2^12 + 15*T1^10*T2^12 - 5*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, NonAlternating, 168] -> 
  {(1 - 6*T + 18*T^2 - 25*T^3 + 18*T^4 - 6*T^5 + T^6)/T^3, 
   (1 - 6*T1 + 18*T1^2 - 25*T1^3 + 18*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     30*T1*T2 - 72*T1^2*T2 + 42*T1^3*T2 + 42*T1^4*T2 - 72*T1^5*T2 + 
     30*T1^6*T2 - 6*T1^7*T2 + 18*T2^2 - 72*T1*T2^2 + 119*T1^2*T2^2 + 
     97*T1^3*T2^2 - 261*T1^4*T2^2 + 97*T1^5*T2^2 + 119*T1^6*T2^2 - 
     72*T1^7*T2^2 + 18*T1^8*T2^2 - 25*T2^3 + 42*T1*T2^3 + 97*T1^2*T2^3 - 
     626*T1^3*T2^3 + 415*T1^4*T2^3 + 415*T1^5*T2^3 - 626*T1^6*T2^3 + 
     97*T1^7*T2^3 + 42*T1^8*T2^3 - 25*T1^9*T2^3 + 18*T2^4 + 42*T1*T2^4 - 
     261*T1^2*T2^4 + 415*T1^3*T2^4 + 1021*T1^4*T2^4 - 2069*T1^5*T2^4 + 
     1021*T1^6*T2^4 + 415*T1^7*T2^4 - 261*T1^8*T2^4 + 42*T1^9*T2^4 + 
     18*T1^10*T2^4 - 6*T2^5 - 72*T1*T2^5 + 97*T1^2*T2^5 + 415*T1^3*T2^5 - 
     2069*T1^4*T2^5 + 1338*T1^5*T2^5 + 1338*T1^6*T2^5 - 2069*T1^7*T2^5 + 
     415*T1^8*T2^5 + 97*T1^9*T2^5 - 72*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     30*T1*T2^6 + 119*T1^2*T2^6 - 626*T1^3*T2^6 + 1021*T1^4*T2^6 + 
     1338*T1^5*T2^6 - 3096*T1^6*T2^6 + 1338*T1^7*T2^6 + 1021*T1^8*T2^6 - 
     626*T1^9*T2^6 + 119*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 
     6*T1*T2^7 - 72*T1^2*T2^7 + 97*T1^3*T2^7 + 415*T1^4*T2^7 - 
     2069*T1^5*T2^7 + 1338*T1^6*T2^7 + 1338*T1^7*T2^7 - 2069*T1^8*T2^7 + 
     415*T1^9*T2^7 + 97*T1^10*T2^7 - 72*T1^11*T2^7 - 6*T1^12*T2^7 + 
     18*T1^2*T2^8 + 42*T1^3*T2^8 - 261*T1^4*T2^8 + 415*T1^5*T2^8 + 
     1021*T1^6*T2^8 - 2069*T1^7*T2^8 + 1021*T1^8*T2^8 + 415*T1^9*T2^8 - 
     261*T1^10*T2^8 + 42*T1^11*T2^8 + 18*T1^12*T2^8 - 25*T1^3*T2^9 + 
     42*T1^4*T2^9 + 97*T1^5*T2^9 - 626*T1^6*T2^9 + 415*T1^7*T2^9 + 
     415*T1^8*T2^9 - 626*T1^9*T2^9 + 97*T1^10*T2^9 + 42*T1^11*T2^9 - 
     25*T1^12*T2^9 + 18*T1^4*T2^10 - 72*T1^5*T2^10 + 119*T1^6*T2^10 + 
     97*T1^7*T2^10 - 261*T1^8*T2^10 + 97*T1^9*T2^10 + 119*T1^10*T2^10 - 
     72*T1^11*T2^10 + 18*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 
     72*T1^7*T2^11 + 42*T1^8*T2^11 + 42*T1^9*T2^11 - 72*T1^10*T2^11 + 
     30*T1^11*T2^11 - 6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 
     18*T1^8*T2^12 - 25*T1^9*T2^12 + 18*T1^10*T2^12 - 6*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, NonAlternating, 169] -> 
  {(3 - 6*T + 6*T^2 - 5*T^3 + 6*T^4 - 6*T^5 + 3*T^6)/T^3, 
   (84 - 165*T1 + 163*T1^2 - 134*T1^3 + 163*T1^4 - 165*T1^5 + 84*T1^6 - 
     165*T2 + 160*T1*T2 + 4*T1^2*T2 - 57*T1^3*T2 - 57*T1^4*T2 + 4*T1^5*T2 + 
     160*T1^6*T2 - 165*T1^7*T2 + 163*T2^2 + 4*T1*T2^2 - 183*T1^2*T2^2 + 
     94*T1^3*T2^2 + 63*T1^4*T2^2 + 94*T1^5*T2^2 - 183*T1^6*T2^2 + 
     4*T1^7*T2^2 + 163*T1^8*T2^2 - 134*T2^3 - 57*T1*T2^3 + 94*T1^2*T2^3 + 
     46*T1^3*T2^3 - 92*T1^4*T2^3 - 92*T1^5*T2^3 + 46*T1^6*T2^3 + 
     94*T1^7*T2^3 - 57*T1^8*T2^3 - 134*T1^9*T2^3 + 163*T2^4 - 57*T1*T2^4 + 
     63*T1^2*T2^4 - 92*T1^3*T2^4 + 101*T1^4*T2^4 - 29*T1^5*T2^4 + 
     101*T1^6*T2^4 - 92*T1^7*T2^4 + 63*T1^8*T2^4 - 57*T1^9*T2^4 + 
     163*T1^10*T2^4 - 165*T2^5 + 4*T1*T2^5 + 94*T1^2*T2^5 - 92*T1^3*T2^5 - 
     29*T1^4*T2^5 + 4*T1^5*T2^5 + 4*T1^6*T2^5 - 29*T1^7*T2^5 - 92*T1^8*T2^5 + 
     94*T1^9*T2^5 + 4*T1^10*T2^5 - 165*T1^11*T2^5 + 84*T2^6 + 160*T1*T2^6 - 
     183*T1^2*T2^6 + 46*T1^3*T2^6 + 101*T1^4*T2^6 + 4*T1^5*T2^6 - 
     36*T1^6*T2^6 + 4*T1^7*T2^6 + 101*T1^8*T2^6 + 46*T1^9*T2^6 - 
     183*T1^10*T2^6 + 160*T1^11*T2^6 + 84*T1^12*T2^6 - 165*T1*T2^7 + 
     4*T1^2*T2^7 + 94*T1^3*T2^7 - 92*T1^4*T2^7 - 29*T1^5*T2^7 + 4*T1^6*T2^7 + 
     4*T1^7*T2^7 - 29*T1^8*T2^7 - 92*T1^9*T2^7 + 94*T1^10*T2^7 + 
     4*T1^11*T2^7 - 165*T1^12*T2^7 + 163*T1^2*T2^8 - 57*T1^3*T2^8 + 
     63*T1^4*T2^8 - 92*T1^5*T2^8 + 101*T1^6*T2^8 - 29*T1^7*T2^8 + 
     101*T1^8*T2^8 - 92*T1^9*T2^8 + 63*T1^10*T2^8 - 57*T1^11*T2^8 + 
     163*T1^12*T2^8 - 134*T1^3*T2^9 - 57*T1^4*T2^9 + 94*T1^5*T2^9 + 
     46*T1^6*T2^9 - 92*T1^7*T2^9 - 92*T1^8*T2^9 + 46*T1^9*T2^9 + 
     94*T1^10*T2^9 - 57*T1^11*T2^9 - 134*T1^12*T2^9 + 163*T1^4*T2^10 + 
     4*T1^5*T2^10 - 183*T1^6*T2^10 + 94*T1^7*T2^10 + 63*T1^8*T2^10 + 
     94*T1^9*T2^10 - 183*T1^10*T2^10 + 4*T1^11*T2^10 + 163*T1^12*T2^10 - 
     165*T1^5*T2^11 + 160*T1^6*T2^11 + 4*T1^7*T2^11 - 57*T1^8*T2^11 - 
     57*T1^9*T2^11 + 4*T1^10*T2^11 + 160*T1^11*T2^11 - 165*T1^12*T2^11 + 
     84*T1^6*T2^12 - 165*T1^7*T2^12 + 163*T1^8*T2^12 - 134*T1^9*T2^12 + 
     163*T1^10*T2^12 - 165*T1^11*T2^12 + 84*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, NonAlternating, 170] -> 
  {-((3 - 16*T + 25*T^2 - 16*T^3 + 3*T^4)/T^2), 
   (30 - 161*T1 + 250*T1^2 - 161*T1^3 + 30*T1^4 - 161*T2 + 702*T1*T2 - 
     478*T1^2*T2 - 478*T1^3*T2 + 702*T1^4*T2 - 161*T1^5*T2 + 250*T2^2 - 
     478*T1*T2^2 - 2183*T1^2*T2^2 + 4309*T1^3*T2^2 - 2183*T1^4*T2^2 - 
     478*T1^5*T2^2 + 250*T1^6*T2^2 - 161*T2^3 - 478*T1*T2^3 + 
     4309*T1^2*T2^3 - 3124*T1^3*T2^3 - 3124*T1^4*T2^3 + 4309*T1^5*T2^3 - 
     478*T1^6*T2^3 - 161*T1^7*T2^3 + 30*T2^4 + 702*T1*T2^4 - 2183*T1^2*T2^4 - 
     3124*T1^3*T2^4 + 7764*T1^4*T2^4 - 3124*T1^5*T2^4 - 2183*T1^6*T2^4 + 
     702*T1^7*T2^4 + 30*T1^8*T2^4 - 161*T1*T2^5 - 478*T1^2*T2^5 + 
     4309*T1^3*T2^5 - 3124*T1^4*T2^5 - 3124*T1^5*T2^5 + 4309*T1^6*T2^5 - 
     478*T1^7*T2^5 - 161*T1^8*T2^5 + 250*T1^2*T2^6 - 478*T1^3*T2^6 - 
     2183*T1^4*T2^6 + 4309*T1^5*T2^6 - 2183*T1^6*T2^6 - 478*T1^7*T2^6 + 
     250*T1^8*T2^6 - 161*T1^3*T2^7 + 702*T1^4*T2^7 - 478*T1^5*T2^7 - 
     478*T1^6*T2^7 + 702*T1^7*T2^7 - 161*T1^8*T2^7 + 30*T1^4*T2^8 - 
     161*T1^5*T2^8 + 250*T1^6*T2^8 - 161*T1^7*T2^8 + 30*T1^8*T2^8)/
    (T1^4*T2^4)}, Knot[11, NonAlternating, 171] -> 
  {(6 - 16*T + 21*T^2 - 16*T^3 + 6*T^4)/T^2, 
   (483 - 1250*T1 + 1627*T1^2 - 1250*T1^3 + 483*T1^4 - 1250*T2 + 2008*T1*T2 - 
     992*T1^2*T2 - 992*T1^3*T2 + 2008*T1^4*T2 - 1250*T1^5*T2 + 1627*T2^2 - 
     992*T1*T2^2 - 1546*T1^2*T2^2 + 2982*T1^3*T2^2 - 1546*T1^4*T2^2 - 
     992*T1^5*T2^2 + 1627*T1^6*T2^2 - 1250*T2^3 - 992*T1*T2^3 + 
     2982*T1^2*T2^3 - 1676*T1^3*T2^3 - 1676*T1^4*T2^3 + 2982*T1^5*T2^3 - 
     992*T1^6*T2^3 - 1250*T1^7*T2^3 + 483*T2^4 + 2008*T1*T2^4 - 
     1546*T1^2*T2^4 - 1676*T1^3*T2^4 + 3636*T1^4*T2^4 - 1676*T1^5*T2^4 - 
     1546*T1^6*T2^4 + 2008*T1^7*T2^4 + 483*T1^8*T2^4 - 1250*T1*T2^5 - 
     992*T1^2*T2^5 + 2982*T1^3*T2^5 - 1676*T1^4*T2^5 - 1676*T1^5*T2^5 + 
     2982*T1^6*T2^5 - 992*T1^7*T2^5 - 1250*T1^8*T2^5 + 1627*T1^2*T2^6 - 
     992*T1^3*T2^6 - 1546*T1^4*T2^6 + 2982*T1^5*T2^6 - 1546*T1^6*T2^6 - 
     992*T1^7*T2^6 + 1627*T1^8*T2^6 - 1250*T1^3*T2^7 + 2008*T1^4*T2^7 - 
     992*T1^5*T2^7 - 992*T1^6*T2^7 + 2008*T1^7*T2^7 - 1250*T1^8*T2^7 + 
     483*T1^4*T2^8 - 1250*T1^5*T2^8 + 1627*T1^6*T2^8 - 1250*T1^7*T2^8 + 
     483*T1^8*T2^8)/(T1^4*T2^4)}, Knot[11, NonAlternating, 172] -> 
  {-(((-1 + 2*T - 3*T^2 + T^3)*(-1 + 3*T - 2*T^2 + T^3))/T^3), 
   (T1^2 + T1^3 - 3*T1*T2 + T1^2*T2 - 15*T1^3*T2 + T1^4*T2 - 3*T1^5*T2 + 
     T2^2 + T1*T2^2 + 22*T1^2*T2^2 + 18*T1^3*T2^2 + 18*T1^4*T2^2 + 
     22*T1^5*T2^2 + T1^6*T2^2 + T1^7*T2^2 + T2^3 - 15*T1*T2^3 + 
     18*T1^2*T2^3 - 177*T1^3*T2^3 + 119*T1^4*T2^3 - 177*T1^5*T2^3 + 
     18*T1^6*T2^3 - 15*T1^7*T2^3 + T1^8*T2^3 + T1*T2^4 + 18*T1^2*T2^4 + 
     119*T1^3*T2^4 + 64*T1^4*T2^4 + 64*T1^5*T2^4 + 119*T1^6*T2^4 + 
     18*T1^7*T2^4 + T1^8*T2^4 - 3*T1*T2^5 + 22*T1^2*T2^5 - 177*T1^3*T2^5 + 
     64*T1^4*T2^5 - 300*T1^5*T2^5 + 64*T1^6*T2^5 - 177*T1^7*T2^5 + 
     22*T1^8*T2^5 - 3*T1^9*T2^5 + T1^2*T2^6 + 18*T1^3*T2^6 + 119*T1^4*T2^6 + 
     64*T1^5*T2^6 + 64*T1^6*T2^6 + 119*T1^7*T2^6 + 18*T1^8*T2^6 + T1^9*T2^6 + 
     T1^2*T2^7 - 15*T1^3*T2^7 + 18*T1^4*T2^7 - 177*T1^5*T2^7 + 
     119*T1^6*T2^7 - 177*T1^7*T2^7 + 18*T1^8*T2^7 - 15*T1^9*T2^7 + 
     T1^10*T2^7 + T1^3*T2^8 + T1^4*T2^8 + 22*T1^5*T2^8 + 18*T1^6*T2^8 + 
     18*T1^7*T2^8 + 22*T1^8*T2^8 + T1^9*T2^8 + T1^10*T2^8 - 3*T1^5*T2^9 + 
     T1^6*T2^9 - 15*T1^7*T2^9 + T1^8*T2^9 - 3*T1^9*T2^9 + T1^7*T2^10 + 
     T1^8*T2^10)/(T1^5*T2^5)}, 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, 
   (2 - 8*T1 + 16*T1^2 - 14*T1^3 + 10*T1^4 - 14*T1^5 + 16*T1^6 - 8*T1^7 + 
     2*T1^8 - 8*T2 + 24*T1*T2 - 32*T1^2*T2 - 8*T1^3*T2 + 16*T1^4*T2 + 
     16*T1^5*T2 - 8*T1^6*T2 - 32*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 16*T2^2 - 
     32*T1*T2^2 + 14*T1^2*T2^2 + 86*T1^3*T2^2 - 28*T1^4*T2^2 - 50*T1^5*T2^2 - 
     28*T1^6*T2^2 + 86*T1^7*T2^2 + 14*T1^8*T2^2 - 32*T1^9*T2^2 + 
     16*T1^10*T2^2 - 14*T2^3 - 8*T1*T2^3 + 86*T1^2*T2^3 - 178*T1^3*T2^3 - 
     68*T1^4*T2^3 + 111*T1^5*T2^3 + 111*T1^6*T2^3 - 68*T1^7*T2^3 - 
     178*T1^8*T2^3 + 86*T1^9*T2^3 - 8*T1^10*T2^3 - 14*T1^11*T2^3 + 10*T2^4 + 
     16*T1*T2^4 - 28*T1^2*T2^4 - 68*T1^3*T2^4 + 431*T1^4*T2^4 - 
     235*T1^5*T2^4 - 39*T1^6*T2^4 - 235*T1^7*T2^4 + 431*T1^8*T2^4 - 
     68*T1^9*T2^4 - 28*T1^10*T2^4 + 16*T1^11*T2^4 + 10*T1^12*T2^4 - 14*T2^5 + 
     16*T1*T2^5 - 50*T1^2*T2^5 + 111*T1^3*T2^5 - 235*T1^4*T2^5 - 
     108*T1^5*T2^5 + 168*T1^6*T2^5 + 168*T1^7*T2^5 - 108*T1^8*T2^5 - 
     235*T1^9*T2^5 + 111*T1^10*T2^5 - 50*T1^11*T2^5 + 16*T1^12*T2^5 - 
     14*T1^13*T2^5 + 16*T2^6 - 8*T1*T2^6 - 28*T1^2*T2^6 + 111*T1^3*T2^6 - 
     39*T1^4*T2^6 + 168*T1^5*T2^6 - 151*T1^6*T2^6 + 59*T1^7*T2^6 - 
     151*T1^8*T2^6 + 168*T1^9*T2^6 - 39*T1^10*T2^6 + 111*T1^11*T2^6 - 
     28*T1^12*T2^6 - 8*T1^13*T2^6 + 16*T1^14*T2^6 - 8*T2^7 - 32*T1*T2^7 + 
     86*T1^2*T2^7 - 68*T1^3*T2^7 - 235*T1^4*T2^7 + 168*T1^5*T2^7 + 
     59*T1^6*T2^7 - 64*T1^7*T2^7 - 64*T1^8*T2^7 + 59*T1^9*T2^7 + 
     168*T1^10*T2^7 - 235*T1^11*T2^7 - 68*T1^12*T2^7 + 86*T1^13*T2^7 - 
     32*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 24*T1*T2^8 + 14*T1^2*T2^8 - 
     178*T1^3*T2^8 + 431*T1^4*T2^8 - 108*T1^5*T2^8 - 151*T1^6*T2^8 - 
     64*T1^7*T2^8 + 252*T1^8*T2^8 - 64*T1^9*T2^8 - 151*T1^10*T2^8 - 
     108*T1^11*T2^8 + 431*T1^12*T2^8 - 178*T1^13*T2^8 + 14*T1^14*T2^8 + 
     24*T1^15*T2^8 + 2*T1^16*T2^8 - 8*T1*T2^9 - 32*T1^2*T2^9 + 86*T1^3*T2^9 - 
     68*T1^4*T2^9 - 235*T1^5*T2^9 + 168*T1^6*T2^9 + 59*T1^7*T2^9 - 
     64*T1^8*T2^9 - 64*T1^9*T2^9 + 59*T1^10*T2^9 + 168*T1^11*T2^9 - 
     235*T1^12*T2^9 - 68*T1^13*T2^9 + 86*T1^14*T2^9 - 32*T1^15*T2^9 - 
     8*T1^16*T2^9 + 16*T1^2*T2^10 - 8*T1^3*T2^10 - 28*T1^4*T2^10 + 
     111*T1^5*T2^10 - 39*T1^6*T2^10 + 168*T1^7*T2^10 - 151*T1^8*T2^10 + 
     59*T1^9*T2^10 - 151*T1^10*T2^10 + 168*T1^11*T2^10 - 39*T1^12*T2^10 + 
     111*T1^13*T2^10 - 28*T1^14*T2^10 - 8*T1^15*T2^10 + 16*T1^16*T2^10 - 
     14*T1^3*T2^11 + 16*T1^4*T2^11 - 50*T1^5*T2^11 + 111*T1^6*T2^11 - 
     235*T1^7*T2^11 - 108*T1^8*T2^11 + 168*T1^9*T2^11 + 168*T1^10*T2^11 - 
     108*T1^11*T2^11 - 235*T1^12*T2^11 + 111*T1^13*T2^11 - 50*T1^14*T2^11 + 
     16*T1^15*T2^11 - 14*T1^16*T2^11 + 10*T1^4*T2^12 + 16*T1^5*T2^12 - 
     28*T1^6*T2^12 - 68*T1^7*T2^12 + 431*T1^8*T2^12 - 235*T1^9*T2^12 - 
     39*T1^10*T2^12 - 235*T1^11*T2^12 + 431*T1^12*T2^12 - 68*T1^13*T2^12 - 
     28*T1^14*T2^12 + 16*T1^15*T2^12 + 10*T1^16*T2^12 - 14*T1^5*T2^13 - 
     8*T1^6*T2^13 + 86*T1^7*T2^13 - 178*T1^8*T2^13 - 68*T1^9*T2^13 + 
     111*T1^10*T2^13 + 111*T1^11*T2^13 - 68*T1^12*T2^13 - 178*T1^13*T2^13 + 
     86*T1^14*T2^13 - 8*T1^15*T2^13 - 14*T1^16*T2^13 + 16*T1^6*T2^14 - 
     32*T1^7*T2^14 + 14*T1^8*T2^14 + 86*T1^9*T2^14 - 28*T1^10*T2^14 - 
     50*T1^11*T2^14 - 28*T1^12*T2^14 + 86*T1^13*T2^14 + 14*T1^14*T2^14 - 
     32*T1^15*T2^14 + 16*T1^16*T2^14 - 8*T1^7*T2^15 + 24*T1^8*T2^15 - 
     32*T1^9*T2^15 - 8*T1^10*T2^15 + 16*T1^11*T2^15 + 16*T1^12*T2^15 - 
     8*T1^13*T2^15 - 32*T1^14*T2^15 + 24*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)/(T1^8*T2^8)}, Knot[11, NonAlternating, 174] -> 
  {-((2 - 11*T + 22*T^2 - 27*T^3 + 22*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((17 - 93*T1 + 185*T1^2 - 227*T1^3 + 185*T1^4 - 93*T1^5 + 17*T1^6 - 
      93*T2 + 416*T1*T2 - 497*T1^2*T2 + 225*T1^3*T2 + 225*T1^4*T2 - 
      497*T1^5*T2 + 416*T1^6*T2 - 93*T1^7*T2 + 185*T2^2 - 497*T1*T2^2 - 
      611*T1^2*T2^2 + 2071*T1^3*T2^2 - 2769*T1^4*T2^2 + 2071*T1^5*T2^2 - 
      611*T1^6*T2^2 - 497*T1^7*T2^2 + 185*T1^8*T2^2 - 227*T2^3 + 
      225*T1*T2^3 + 2071*T1^2*T2^3 - 2716*T1^3*T2^3 + 1290*T1^4*T2^3 + 
      1290*T1^5*T2^3 - 2716*T1^6*T2^3 + 2071*T1^7*T2^3 + 225*T1^8*T2^3 - 
      227*T1^9*T2^3 + 185*T2^4 + 225*T1*T2^4 - 2769*T1^2*T2^4 + 
      1290*T1^3*T2^4 + 1042*T1^4*T2^4 - 2374*T1^5*T2^4 + 1042*T1^6*T2^4 + 
      1290*T1^7*T2^4 - 2769*T1^8*T2^4 + 225*T1^9*T2^4 + 185*T1^10*T2^4 - 
      93*T2^5 - 497*T1*T2^5 + 2071*T1^2*T2^5 + 1290*T1^3*T2^5 - 
      2374*T1^4*T2^5 + 1334*T1^5*T2^5 + 1334*T1^6*T2^5 - 2374*T1^7*T2^5 + 
      1290*T1^8*T2^5 + 2071*T1^9*T2^5 - 497*T1^10*T2^5 - 93*T1^11*T2^5 + 
      17*T2^6 + 416*T1*T2^6 - 611*T1^2*T2^6 - 2716*T1^3*T2^6 + 
      1042*T1^4*T2^6 + 1334*T1^5*T2^6 - 2844*T1^6*T2^6 + 1334*T1^7*T2^6 + 
      1042*T1^8*T2^6 - 2716*T1^9*T2^6 - 611*T1^10*T2^6 + 416*T1^11*T2^6 + 
      17*T1^12*T2^6 - 93*T1*T2^7 - 497*T1^2*T2^7 + 2071*T1^3*T2^7 + 
      1290*T1^4*T2^7 - 2374*T1^5*T2^7 + 1334*T1^6*T2^7 + 1334*T1^7*T2^7 - 
      2374*T1^8*T2^7 + 1290*T1^9*T2^7 + 2071*T1^10*T2^7 - 497*T1^11*T2^7 - 
      93*T1^12*T2^7 + 185*T1^2*T2^8 + 225*T1^3*T2^8 - 2769*T1^4*T2^8 + 
      1290*T1^5*T2^8 + 1042*T1^6*T2^8 - 2374*T1^7*T2^8 + 1042*T1^8*T2^8 + 
      1290*T1^9*T2^8 - 2769*T1^10*T2^8 + 225*T1^11*T2^8 + 185*T1^12*T2^8 - 
      227*T1^3*T2^9 + 225*T1^4*T2^9 + 2071*T1^5*T2^9 - 2716*T1^6*T2^9 + 
      1290*T1^7*T2^9 + 1290*T1^8*T2^9 - 2716*T1^9*T2^9 + 2071*T1^10*T2^9 + 
      225*T1^11*T2^9 - 227*T1^12*T2^9 + 185*T1^4*T2^10 - 497*T1^5*T2^10 - 
      611*T1^6*T2^10 + 2071*T1^7*T2^10 - 2769*T1^8*T2^10 + 2071*T1^9*T2^10 - 
      611*T1^10*T2^10 - 497*T1^11*T2^10 + 185*T1^12*T2^10 - 93*T1^5*T2^11 + 
      416*T1^6*T2^11 - 497*T1^7*T2^11 + 225*T1^8*T2^11 + 225*T1^9*T2^11 - 
      497*T1^10*T2^11 + 416*T1^11*T2^11 - 93*T1^12*T2^11 + 17*T1^6*T2^12 - 
      93*T1^7*T2^12 + 185*T1^8*T2^12 - 227*T1^9*T2^12 + 185*T1^10*T2^12 - 
      93*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, NonAlternating, 175] -> 
  {-(((1 - 3*T + T^2)*(2 - 3*T + 3*T^2 - 3*T^3 + 2*T^4))/T^3), 
   -((17 - 75*T1 + 114*T1^2 - 121*T1^3 + 114*T1^4 - 75*T1^5 + 17*T1^6 - 
      75*T2 + 256*T1*T2 - 173*T1^2*T2 + 31*T1^3*T2 + 31*T1^4*T2 - 
      173*T1^5*T2 + 256*T1^6*T2 - 75*T1^7*T2 + 114*T2^2 - 173*T1*T2^2 - 
      564*T1^2*T2^2 + 896*T1^3*T2^2 - 824*T1^4*T2^2 + 896*T1^5*T2^2 - 
      564*T1^6*T2^2 - 173*T1^7*T2^2 + 114*T1^8*T2^2 - 121*T2^3 + 31*T1*T2^3 + 
      896*T1^2*T2^3 - 504*T1^3*T2^3 - 13*T1^4*T2^3 - 13*T1^5*T2^3 - 
      504*T1^6*T2^3 + 896*T1^7*T2^3 + 31*T1^8*T2^3 - 121*T1^9*T2^3 + 
      114*T2^4 + 31*T1*T2^4 - 824*T1^2*T2^4 - 13*T1^3*T2^4 + 258*T1^4*T2^4 + 
      10*T1^5*T2^4 + 258*T1^6*T2^4 - 13*T1^7*T2^4 - 824*T1^8*T2^4 + 
      31*T1^9*T2^4 + 114*T1^10*T2^4 - 75*T2^5 - 173*T1*T2^5 + 896*T1^2*T2^5 - 
      13*T1^3*T2^5 + 10*T1^4*T2^5 - 128*T1^5*T2^5 - 128*T1^6*T2^5 + 
      10*T1^7*T2^5 - 13*T1^8*T2^5 + 896*T1^9*T2^5 - 173*T1^10*T2^5 - 
      75*T1^11*T2^5 + 17*T2^6 + 256*T1*T2^6 - 564*T1^2*T2^6 - 504*T1^3*T2^6 + 
      258*T1^4*T2^6 - 128*T1^5*T2^6 + 240*T1^6*T2^6 - 128*T1^7*T2^6 + 
      258*T1^8*T2^6 - 504*T1^9*T2^6 - 564*T1^10*T2^6 + 256*T1^11*T2^6 + 
      17*T1^12*T2^6 - 75*T1*T2^7 - 173*T1^2*T2^7 + 896*T1^3*T2^7 - 
      13*T1^4*T2^7 + 10*T1^5*T2^7 - 128*T1^6*T2^7 - 128*T1^7*T2^7 + 
      10*T1^8*T2^7 - 13*T1^9*T2^7 + 896*T1^10*T2^7 - 173*T1^11*T2^7 - 
      75*T1^12*T2^7 + 114*T1^2*T2^8 + 31*T1^3*T2^8 - 824*T1^4*T2^8 - 
      13*T1^5*T2^8 + 258*T1^6*T2^8 + 10*T1^7*T2^8 + 258*T1^8*T2^8 - 
      13*T1^9*T2^8 - 824*T1^10*T2^8 + 31*T1^11*T2^8 + 114*T1^12*T2^8 - 
      121*T1^3*T2^9 + 31*T1^4*T2^9 + 896*T1^5*T2^9 - 504*T1^6*T2^9 - 
      13*T1^7*T2^9 - 13*T1^8*T2^9 - 504*T1^9*T2^9 + 896*T1^10*T2^9 + 
      31*T1^11*T2^9 - 121*T1^12*T2^9 + 114*T1^4*T2^10 - 173*T1^5*T2^10 - 
      564*T1^6*T2^10 + 896*T1^7*T2^10 - 824*T1^8*T2^10 + 896*T1^9*T2^10 - 
      564*T1^10*T2^10 - 173*T1^11*T2^10 + 114*T1^12*T2^10 - 75*T1^5*T2^11 + 
      256*T1^6*T2^11 - 173*T1^7*T2^11 + 31*T1^8*T2^11 + 31*T1^9*T2^11 - 
      173*T1^10*T2^11 + 256*T1^11*T2^11 - 75*T1^12*T2^11 + 17*T1^6*T2^12 - 
      75*T1^7*T2^12 + 114*T1^8*T2^12 - 121*T1^9*T2^12 + 114*T1^10*T2^12 - 
      75*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, NonAlternating, 176] -> 
  {((1 - T + T^2)*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^3, 
   -((1 - 6*T1 + 15*T1^2 - 19*T1^3 + 15*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
      30*T1*T2 - 54*T1^2*T2 + 23*T1^3*T2 + 23*T1^4*T2 - 54*T1^5*T2 + 
      30*T1^6*T2 - 6*T1^7*T2 + 15*T2^2 - 54*T1*T2^2 + 24*T1^2*T2^2 + 
      176*T1^3*T2^2 - 234*T1^4*T2^2 + 176*T1^5*T2^2 + 24*T1^6*T2^2 - 
      54*T1^7*T2^2 + 15*T1^8*T2^2 - 19*T2^3 + 23*T1*T2^3 + 176*T1^2*T2^3 - 
      518*T1^3*T2^3 + 182*T1^4*T2^3 + 182*T1^5*T2^3 - 518*T1^6*T2^3 + 
      176*T1^7*T2^3 + 23*T1^8*T2^3 - 19*T1^9*T2^3 + 15*T2^4 + 23*T1*T2^4 - 
      234*T1^2*T2^4 + 182*T1^3*T2^4 + 981*T1^4*T2^4 - 1231*T1^5*T2^4 + 
      981*T1^6*T2^4 + 182*T1^7*T2^4 - 234*T1^8*T2^4 + 23*T1^9*T2^4 + 
      15*T1^10*T2^4 - 6*T2^5 - 54*T1*T2^5 + 176*T1^2*T2^5 + 182*T1^3*T2^5 - 
      1231*T1^4*T2^5 + 382*T1^5*T2^5 + 382*T1^6*T2^5 - 1231*T1^7*T2^5 + 
      182*T1^8*T2^5 + 176*T1^9*T2^5 - 54*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
      30*T1*T2^6 + 24*T1^2*T2^6 - 518*T1^3*T2^6 + 981*T1^4*T2^6 + 
      382*T1^5*T2^6 - 528*T1^6*T2^6 + 382*T1^7*T2^6 + 981*T1^8*T2^6 - 
      518*T1^9*T2^6 + 24*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 
      6*T1*T2^7 - 54*T1^2*T2^7 + 176*T1^3*T2^7 + 182*T1^4*T2^7 - 
      1231*T1^5*T2^7 + 382*T1^6*T2^7 + 382*T1^7*T2^7 - 1231*T1^8*T2^7 + 
      182*T1^9*T2^7 + 176*T1^10*T2^7 - 54*T1^11*T2^7 - 6*T1^12*T2^7 + 
      15*T1^2*T2^8 + 23*T1^3*T2^8 - 234*T1^4*T2^8 + 182*T1^5*T2^8 + 
      981*T1^6*T2^8 - 1231*T1^7*T2^8 + 981*T1^8*T2^8 + 182*T1^9*T2^8 - 
      234*T1^10*T2^8 + 23*T1^11*T2^8 + 15*T1^12*T2^8 - 19*T1^3*T2^9 + 
      23*T1^4*T2^9 + 176*T1^5*T2^9 - 518*T1^6*T2^9 + 182*T1^7*T2^9 + 
      182*T1^8*T2^9 - 518*T1^9*T2^9 + 176*T1^10*T2^9 + 23*T1^11*T2^9 - 
      19*T1^12*T2^9 + 15*T1^4*T2^10 - 54*T1^5*T2^10 + 24*T1^6*T2^10 + 
      176*T1^7*T2^10 - 234*T1^8*T2^10 + 176*T1^9*T2^10 + 24*T1^10*T2^10 - 
      54*T1^11*T2^10 + 15*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 
      54*T1^7*T2^11 + 23*T1^8*T2^11 + 23*T1^9*T2^11 - 54*T1^10*T2^11 + 
      30*T1^11*T2^11 - 6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 
      15*T1^8*T2^12 - 19*T1^9*T2^12 + 15*T1^10*T2^12 - 6*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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), -((1 - 5*T1 + 11*T1^2 - 16*T1^3 + 17*T1^4 - 16*T1^5 + 11*T1^6 - 
      5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 30*T1^2*T2 + 25*T1^3*T2 - 5*T1^4*T2 - 
      5*T1^5*T2 + 25*T1^6*T2 - 30*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
      11*T2^2 - 30*T1*T2^2 + 6*T1^2*T2^2 + 48*T1^3*T2^2 - 100*T1^4*T2^2 + 
      84*T1^5*T2^2 - 100*T1^6*T2^2 + 48*T1^7*T2^2 + 6*T1^8*T2^2 - 
      30*T1^9*T2^2 + 11*T1^10*T2^2 - 16*T2^3 + 25*T1*T2^3 + 48*T1^2*T2^3 - 
      104*T1^3*T2^3 + 105*T1^4*T2^3 + 8*T1^5*T2^3 + 8*T1^6*T2^3 + 
      105*T1^7*T2^3 - 104*T1^8*T2^3 + 48*T1^9*T2^3 + 25*T1^10*T2^3 - 
      16*T1^11*T2^3 + 17*T2^4 - 5*T1*T2^4 - 100*T1^2*T2^4 + 105*T1^3*T2^4 - 
      55*T1^4*T2^4 - 78*T1^5*T2^4 - 31*T1^6*T2^4 - 78*T1^7*T2^4 - 
      55*T1^8*T2^4 + 105*T1^9*T2^4 - 100*T1^10*T2^4 - 5*T1^11*T2^4 + 
      17*T1^12*T2^4 - 16*T2^5 - 5*T1*T2^5 + 84*T1^2*T2^5 + 8*T1^3*T2^5 - 
      78*T1^4*T2^5 + 158*T1^5*T2^5 + 42*T1^6*T2^5 + 42*T1^7*T2^5 + 
      158*T1^8*T2^5 - 78*T1^9*T2^5 + 8*T1^10*T2^5 + 84*T1^11*T2^5 - 
      5*T1^12*T2^5 - 16*T1^13*T2^5 + 11*T2^6 + 25*T1*T2^6 - 100*T1^2*T2^6 + 
      8*T1^3*T2^6 - 31*T1^4*T2^6 + 42*T1^5*T2^6 - 280*T1^6*T2^6 + 
      198*T1^7*T2^6 - 280*T1^8*T2^6 + 42*T1^9*T2^6 - 31*T1^10*T2^6 + 
      8*T1^11*T2^6 - 100*T1^12*T2^6 + 25*T1^13*T2^6 + 11*T1^14*T2^6 - 
      5*T2^7 - 30*T1*T2^7 + 48*T1^2*T2^7 + 105*T1^3*T2^7 - 78*T1^4*T2^7 + 
      42*T1^5*T2^7 + 198*T1^6*T2^7 - 46*T1^7*T2^7 - 46*T1^8*T2^7 + 
      198*T1^9*T2^7 + 42*T1^10*T2^7 - 78*T1^11*T2^7 + 105*T1^12*T2^7 + 
      48*T1^13*T2^7 - 30*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 
      6*T1^2*T2^8 - 104*T1^3*T2^8 - 55*T1^4*T2^8 + 158*T1^5*T2^8 - 
      280*T1^6*T2^8 - 46*T1^7*T2^8 + 132*T1^8*T2^8 - 46*T1^9*T2^8 - 
      280*T1^10*T2^8 + 158*T1^11*T2^8 - 55*T1^12*T2^8 - 104*T1^13*T2^8 + 
      6*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 30*T1^2*T2^9 + 
      48*T1^3*T2^9 + 105*T1^4*T2^9 - 78*T1^5*T2^9 + 42*T1^6*T2^9 + 
      198*T1^7*T2^9 - 46*T1^8*T2^9 - 46*T1^9*T2^9 + 198*T1^10*T2^9 + 
      42*T1^11*T2^9 - 78*T1^12*T2^9 + 105*T1^13*T2^9 + 48*T1^14*T2^9 - 
      30*T1^15*T2^9 - 5*T1^16*T2^9 + 11*T1^2*T2^10 + 25*T1^3*T2^10 - 
      100*T1^4*T2^10 + 8*T1^5*T2^10 - 31*T1^6*T2^10 + 42*T1^7*T2^10 - 
      280*T1^8*T2^10 + 198*T1^9*T2^10 - 280*T1^10*T2^10 + 42*T1^11*T2^10 - 
      31*T1^12*T2^10 + 8*T1^13*T2^10 - 100*T1^14*T2^10 + 25*T1^15*T2^10 + 
      11*T1^16*T2^10 - 16*T1^3*T2^11 - 5*T1^4*T2^11 + 84*T1^5*T2^11 + 
      8*T1^6*T2^11 - 78*T1^7*T2^11 + 158*T1^8*T2^11 + 42*T1^9*T2^11 + 
      42*T1^10*T2^11 + 158*T1^11*T2^11 - 78*T1^12*T2^11 + 8*T1^13*T2^11 + 
      84*T1^14*T2^11 - 5*T1^15*T2^11 - 16*T1^16*T2^11 + 17*T1^4*T2^12 - 
      5*T1^5*T2^12 - 100*T1^6*T2^12 + 105*T1^7*T2^12 - 55*T1^8*T2^12 - 
      78*T1^9*T2^12 - 31*T1^10*T2^12 - 78*T1^11*T2^12 - 55*T1^12*T2^12 + 
      105*T1^13*T2^12 - 100*T1^14*T2^12 - 5*T1^15*T2^12 + 17*T1^16*T2^12 - 
      16*T1^5*T2^13 + 25*T1^6*T2^13 + 48*T1^7*T2^13 - 104*T1^8*T2^13 + 
      105*T1^9*T2^13 + 8*T1^10*T2^13 + 8*T1^11*T2^13 + 105*T1^12*T2^13 - 
      104*T1^13*T2^13 + 48*T1^14*T2^13 + 25*T1^15*T2^13 - 16*T1^16*T2^13 + 
      11*T1^6*T2^14 - 30*T1^7*T2^14 + 6*T1^8*T2^14 + 48*T1^9*T2^14 - 
      100*T1^10*T2^14 + 84*T1^11*T2^14 - 100*T1^12*T2^14 + 48*T1^13*T2^14 + 
      6*T1^14*T2^14 - 30*T1^15*T2^14 + 11*T1^16*T2^14 - 5*T1^7*T2^15 + 
      20*T1^8*T2^15 - 30*T1^9*T2^15 + 25*T1^10*T2^15 - 5*T1^11*T2^15 - 
      5*T1^12*T2^15 + 25*T1^13*T2^15 - 30*T1^14*T2^15 + 20*T1^15*T2^15 - 
      5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 11*T1^10*T2^16 - 
      16*T1^11*T2^16 + 17*T1^12*T2^16 - 16*T1^13*T2^16 + 11*T1^14*T2^16 - 
      5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[11, NonAlternating, 178] -> 
  {(2 - 9*T + 22*T^2 - 29*T^3 + 22*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (9 - 41*T1 + 101*T1^2 - 133*T1^3 + 101*T1^4 - 41*T1^5 + 9*T1^6 - 41*T2 + 
     144*T1*T2 - 270*T1^2*T2 + 144*T1^3*T2 + 144*T1^4*T2 - 270*T1^5*T2 + 
     144*T1^6*T2 - 41*T1^7*T2 + 101*T2^2 - 270*T1*T2^2 + 425*T1^2*T2^2 + 
     29*T1^3*T2^2 - 341*T1^4*T2^2 + 29*T1^5*T2^2 + 425*T1^6*T2^2 - 
     270*T1^7*T2^2 + 101*T1^8*T2^2 - 133*T2^3 + 144*T1*T2^3 + 29*T1^2*T2^3 - 
     1062*T1^3*T2^3 + 661*T1^4*T2^3 + 661*T1^5*T2^3 - 1062*T1^6*T2^3 + 
     29*T1^7*T2^3 + 144*T1^8*T2^3 - 133*T1^9*T2^3 + 101*T2^4 + 144*T1*T2^4 - 
     341*T1^2*T2^4 + 661*T1^3*T2^4 + 2146*T1^4*T2^4 - 3852*T1^5*T2^4 + 
     2146*T1^6*T2^4 + 661*T1^7*T2^4 - 341*T1^8*T2^4 + 144*T1^9*T2^4 + 
     101*T1^10*T2^4 - 41*T2^5 - 270*T1*T2^5 + 29*T1^2*T2^5 + 661*T1^3*T2^5 - 
     3852*T1^4*T2^5 + 2242*T1^5*T2^5 + 2242*T1^6*T2^5 - 3852*T1^7*T2^5 + 
     661*T1^8*T2^5 + 29*T1^9*T2^5 - 270*T1^10*T2^5 - 41*T1^11*T2^5 + 9*T2^6 + 
     144*T1*T2^6 + 425*T1^2*T2^6 - 1062*T1^3*T2^6 + 2146*T1^4*T2^6 + 
     2242*T1^5*T2^6 - 4956*T1^6*T2^6 + 2242*T1^7*T2^6 + 2146*T1^8*T2^6 - 
     1062*T1^9*T2^6 + 425*T1^10*T2^6 + 144*T1^11*T2^6 + 9*T1^12*T2^6 - 
     41*T1*T2^7 - 270*T1^2*T2^7 + 29*T1^3*T2^7 + 661*T1^4*T2^7 - 
     3852*T1^5*T2^7 + 2242*T1^6*T2^7 + 2242*T1^7*T2^7 - 3852*T1^8*T2^7 + 
     661*T1^9*T2^7 + 29*T1^10*T2^7 - 270*T1^11*T2^7 - 41*T1^12*T2^7 + 
     101*T1^2*T2^8 + 144*T1^3*T2^8 - 341*T1^4*T2^8 + 661*T1^5*T2^8 + 
     2146*T1^6*T2^8 - 3852*T1^7*T2^8 + 2146*T1^8*T2^8 + 661*T1^9*T2^8 - 
     341*T1^10*T2^8 + 144*T1^11*T2^8 + 101*T1^12*T2^8 - 133*T1^3*T2^9 + 
     144*T1^4*T2^9 + 29*T1^5*T2^9 - 1062*T1^6*T2^9 + 661*T1^7*T2^9 + 
     661*T1^8*T2^9 - 1062*T1^9*T2^9 + 29*T1^10*T2^9 + 144*T1^11*T2^9 - 
     133*T1^12*T2^9 + 101*T1^4*T2^10 - 270*T1^5*T2^10 + 425*T1^6*T2^10 + 
     29*T1^7*T2^10 - 341*T1^8*T2^10 + 29*T1^9*T2^10 + 425*T1^10*T2^10 - 
     270*T1^11*T2^10 + 101*T1^12*T2^10 - 41*T1^5*T2^11 + 144*T1^6*T2^11 - 
     270*T1^7*T2^11 + 144*T1^8*T2^11 + 144*T1^9*T2^11 - 270*T1^10*T2^11 + 
     144*T1^11*T2^11 - 41*T1^12*T2^11 + 9*T1^6*T2^12 - 41*T1^7*T2^12 + 
     101*T1^8*T2^12 - 133*T1^9*T2^12 + 101*T1^10*T2^12 - 41*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, NonAlternating, 179] -> 
  {-((1 - 7*T + 18*T^2 - 25*T^3 + 18*T^4 - 7*T^5 + T^6)/T^3), 
   -((3 - 11*T1 + 13*T1^2 - 11*T1^3 + 3*T1^4 - 11*T2 + 34*T1*T2 - 7*T1^2*T2 - 
      7*T1^3*T2 + 34*T1^4*T2 - 11*T1^5*T2 + 13*T2^2 - 7*T1*T2^2 - 
      128*T1^2*T2^2 + 114*T1^3*T2^2 - 128*T1^4*T2^2 - 7*T1^5*T2^2 + 
      13*T1^6*T2^2 - 11*T2^3 - 7*T1*T2^3 + 114*T1^2*T2^3 + 42*T1^3*T2^3 + 
      42*T1^4*T2^3 + 114*T1^5*T2^3 - 7*T1^6*T2^3 - 11*T1^7*T2^3 + 3*T2^4 + 
      34*T1*T2^4 - 128*T1^2*T2^4 + 42*T1^3*T2^4 - 252*T1^4*T2^4 + 
      42*T1^5*T2^4 - 128*T1^6*T2^4 + 34*T1^7*T2^4 + 3*T1^8*T2^4 - 
      11*T1*T2^5 - 7*T1^2*T2^5 + 114*T1^3*T2^5 + 42*T1^4*T2^5 + 
      42*T1^5*T2^5 + 114*T1^6*T2^5 - 7*T1^7*T2^5 - 11*T1^8*T2^5 + 
      13*T1^2*T2^6 - 7*T1^3*T2^6 - 128*T1^4*T2^6 + 114*T1^5*T2^6 - 
      128*T1^6*T2^6 - 7*T1^7*T2^6 + 13*T1^8*T2^6 - 11*T1^3*T2^7 + 
      34*T1^4*T2^7 - 7*T1^5*T2^7 - 7*T1^6*T2^7 + 34*T1^7*T2^7 - 
      11*T1^8*T2^7 + 3*T1^4*T2^8 - 11*T1^5*T2^8 + 13*T1^6*T2^8 - 
      11*T1^7*T2^8 + 3*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[11, NonAlternating, 180] -> 
  {(3 - 7*T + 11*T^2 - 13*T^3 + 11*T^4 - 7*T^5 + 3*T^6)/T^3, 
   (84 - 191*T1 + 297*T1^2 - 350*T1^3 + 297*T1^4 - 191*T1^5 + 84*T1^6 - 
     191*T2 + 246*T1*T2 - 245*T1^2*T2 + 123*T1^3*T2 + 123*T1^4*T2 - 
     245*T1^5*T2 + 246*T1^6*T2 - 191*T1^7*T2 + 297*T2^2 - 245*T1*T2^2 + 
     301*T1^2*T2^2 - 248*T1^3*T2^2 + 131*T1^4*T2^2 - 248*T1^5*T2^2 + 
     301*T1^6*T2^2 - 245*T1^7*T2^2 + 297*T1^8*T2^2 - 350*T2^3 + 123*T1*T2^3 - 
     248*T1^2*T2^3 + 116*T1^3*T2^3 + 39*T1^4*T2^3 + 39*T1^5*T2^3 + 
     116*T1^6*T2^3 - 248*T1^7*T2^3 + 123*T1^8*T2^3 - 350*T1^9*T2^3 + 
     297*T2^4 + 123*T1*T2^4 + 131*T1^2*T2^4 + 39*T1^3*T2^4 - 52*T1^4*T2^4 - 
     116*T1^5*T2^4 - 52*T1^6*T2^4 + 39*T1^7*T2^4 + 131*T1^8*T2^4 + 
     123*T1^9*T2^4 + 297*T1^10*T2^4 - 191*T2^5 - 245*T1*T2^5 - 
     248*T1^2*T2^5 + 39*T1^3*T2^5 - 116*T1^4*T2^5 + 158*T1^5*T2^5 + 
     158*T1^6*T2^5 - 116*T1^7*T2^5 + 39*T1^8*T2^5 - 248*T1^9*T2^5 - 
     245*T1^10*T2^5 - 191*T1^11*T2^5 + 84*T2^6 + 246*T1*T2^6 + 
     301*T1^2*T2^6 + 116*T1^3*T2^6 - 52*T1^4*T2^6 + 158*T1^5*T2^6 - 
     408*T1^6*T2^6 + 158*T1^7*T2^6 - 52*T1^8*T2^6 + 116*T1^9*T2^6 + 
     301*T1^10*T2^6 + 246*T1^11*T2^6 + 84*T1^12*T2^6 - 191*T1*T2^7 - 
     245*T1^2*T2^7 - 248*T1^3*T2^7 + 39*T1^4*T2^7 - 116*T1^5*T2^7 + 
     158*T1^6*T2^7 + 158*T1^7*T2^7 - 116*T1^8*T2^7 + 39*T1^9*T2^7 - 
     248*T1^10*T2^7 - 245*T1^11*T2^7 - 191*T1^12*T2^7 + 297*T1^2*T2^8 + 
     123*T1^3*T2^8 + 131*T1^4*T2^8 + 39*T1^5*T2^8 - 52*T1^6*T2^8 - 
     116*T1^7*T2^8 - 52*T1^8*T2^8 + 39*T1^9*T2^8 + 131*T1^10*T2^8 + 
     123*T1^11*T2^8 + 297*T1^12*T2^8 - 350*T1^3*T2^9 + 123*T1^4*T2^9 - 
     248*T1^5*T2^9 + 116*T1^6*T2^9 + 39*T1^7*T2^9 + 39*T1^8*T2^9 + 
     116*T1^9*T2^9 - 248*T1^10*T2^9 + 123*T1^11*T2^9 - 350*T1^12*T2^9 + 
     297*T1^4*T2^10 - 245*T1^5*T2^10 + 301*T1^6*T2^10 - 248*T1^7*T2^10 + 
     131*T1^8*T2^10 - 248*T1^9*T2^10 + 301*T1^10*T2^10 - 245*T1^11*T2^10 + 
     297*T1^12*T2^10 - 191*T1^5*T2^11 + 246*T1^6*T2^11 - 245*T1^7*T2^11 + 
     123*T1^8*T2^11 + 123*T1^9*T2^11 - 245*T1^10*T2^11 + 246*T1^11*T2^11 - 
     191*T1^12*T2^11 + 84*T1^6*T2^12 - 191*T1^7*T2^12 + 297*T1^8*T2^12 - 
     350*T1^9*T2^12 + 297*T1^10*T2^12 - 191*T1^11*T2^12 + 84*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[11, NonAlternating, 181] -> 
  {(5 - 11*T + 13*T^2 - 11*T^3 + 5*T^4)/T^2, 
   (290 - 623*T1 + 732*T1^2 - 623*T1^3 + 290*T1^4 - 623*T2 + 720*T1*T2 - 
     236*T1^2*T2 - 236*T1^3*T2 + 720*T1^4*T2 - 623*T1^5*T2 + 732*T2^2 - 
     236*T1*T2^2 - 472*T1^2*T2^2 + 542*T1^3*T2^2 - 472*T1^4*T2^2 - 
     236*T1^5*T2^2 + 732*T1^6*T2^2 - 623*T2^3 - 236*T1*T2^3 + 542*T1^2*T2^3 - 
     114*T1^3*T2^3 - 114*T1^4*T2^3 + 542*T1^5*T2^3 - 236*T1^6*T2^3 - 
     623*T1^7*T2^3 + 290*T2^4 + 720*T1*T2^4 - 472*T1^2*T2^4 - 114*T1^3*T2^4 + 
     120*T1^4*T2^4 - 114*T1^5*T2^4 - 472*T1^6*T2^4 + 720*T1^7*T2^4 + 
     290*T1^8*T2^4 - 623*T1*T2^5 - 236*T1^2*T2^5 + 542*T1^3*T2^5 - 
     114*T1^4*T2^5 - 114*T1^5*T2^5 + 542*T1^6*T2^5 - 236*T1^7*T2^5 - 
     623*T1^8*T2^5 + 732*T1^2*T2^6 - 236*T1^3*T2^6 - 472*T1^4*T2^6 + 
     542*T1^5*T2^6 - 472*T1^6*T2^6 - 236*T1^7*T2^6 + 732*T1^8*T2^6 - 
     623*T1^3*T2^7 + 720*T1^4*T2^7 - 236*T1^5*T2^7 - 236*T1^6*T2^7 + 
     720*T1^7*T2^7 - 623*T1^8*T2^7 + 290*T1^4*T2^8 - 623*T1^5*T2^8 + 
     732*T1^6*T2^8 - 623*T1^7*T2^8 + 290*T1^8*T2^8)/(T1^4*T2^4)}, 
 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, 
   -((1 - 4*T1 + 6*T1^2 - 5*T1^3 + 6*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 6*T1*T2 + 
      4*T1^2*T2 - 8*T1^3*T2 - 8*T1^4*T2 + 4*T1^5*T2 + 6*T1^6*T2 - 4*T1^7*T2 + 
      6*T2^2 + 4*T1*T2^2 - 10*T1^2*T2^2 - 35*T1^3*T2^2 + 72*T1^4*T2^2 - 
      35*T1^5*T2^2 - 10*T1^6*T2^2 + 4*T1^7*T2^2 + 6*T1^8*T2^2 - 5*T2^3 - 
      8*T1*T2^3 - 35*T1^2*T2^3 + 104*T1^3*T2^3 - 46*T1^4*T2^3 - 
      46*T1^5*T2^3 + 104*T1^6*T2^3 - 35*T1^7*T2^3 - 8*T1^8*T2^3 - 
      5*T1^9*T2^3 + 6*T2^4 - 8*T1*T2^4 + 72*T1^2*T2^4 - 46*T1^3*T2^4 - 
      93*T1^4*T2^4 + 73*T1^5*T2^4 - 93*T1^6*T2^4 - 46*T1^7*T2^4 + 
      72*T1^8*T2^4 - 8*T1^9*T2^4 + 6*T1^10*T2^4 - 4*T2^5 + 4*T1*T2^5 - 
      35*T1^2*T2^5 - 46*T1^3*T2^5 + 73*T1^4*T2^5 + 62*T1^5*T2^5 + 
      62*T1^6*T2^5 + 73*T1^7*T2^5 - 46*T1^8*T2^5 - 35*T1^9*T2^5 + 
      4*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 6*T1*T2^6 - 10*T1^2*T2^6 + 
      104*T1^3*T2^6 - 93*T1^4*T2^6 + 62*T1^5*T2^6 - 264*T1^6*T2^6 + 
      62*T1^7*T2^6 - 93*T1^8*T2^6 + 104*T1^9*T2^6 - 10*T1^10*T2^6 + 
      6*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 + 4*T1^2*T2^7 - 35*T1^3*T2^7 - 
      46*T1^4*T2^7 + 73*T1^5*T2^7 + 62*T1^6*T2^7 + 62*T1^7*T2^7 + 
      73*T1^8*T2^7 - 46*T1^9*T2^7 - 35*T1^10*T2^7 + 4*T1^11*T2^7 - 
      4*T1^12*T2^7 + 6*T1^2*T2^8 - 8*T1^3*T2^8 + 72*T1^4*T2^8 - 
      46*T1^5*T2^8 - 93*T1^6*T2^8 + 73*T1^7*T2^8 - 93*T1^8*T2^8 - 
      46*T1^9*T2^8 + 72*T1^10*T2^8 - 8*T1^11*T2^8 + 6*T1^12*T2^8 - 
      5*T1^3*T2^9 - 8*T1^4*T2^9 - 35*T1^5*T2^9 + 104*T1^6*T2^9 - 
      46*T1^7*T2^9 - 46*T1^8*T2^9 + 104*T1^9*T2^9 - 35*T1^10*T2^9 - 
      8*T1^11*T2^9 - 5*T1^12*T2^9 + 6*T1^4*T2^10 + 4*T1^5*T2^10 - 
      10*T1^6*T2^10 - 35*T1^7*T2^10 + 72*T1^8*T2^10 - 35*T1^9*T2^10 - 
      10*T1^10*T2^10 + 4*T1^11*T2^10 + 6*T1^12*T2^10 - 4*T1^5*T2^11 + 
      6*T1^6*T2^11 + 4*T1^7*T2^11 - 8*T1^8*T2^11 - 8*T1^9*T2^11 + 
      4*T1^10*T2^11 + 6*T1^11*T2^11 - 4*T1^12*T2^11 + T1^6*T2^12 - 
      4*T1^7*T2^12 + 6*T1^8*T2^12 - 5*T1^9*T2^12 + 6*T1^10*T2^12 - 
      4*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[11, NonAlternating, 183] -> 
  {((1 - T + T^2)*(1 + 2*T - 5*T^2 + 2*T^3 + T^4))/T^3, 
   (3 + 3*T1 - 18*T1^2 + 27*T1^3 - 18*T1^4 + 3*T1^5 + 3*T1^6 + 3*T2 + 
     6*T1*T2 - 15*T1^2*T2 + 9*T1^3*T2 + 9*T1^4*T2 - 15*T1^5*T2 + 6*T1^6*T2 + 
     3*T1^7*T2 - 18*T2^2 - 15*T1*T2^2 + 86*T1^2*T2^2 - 166*T1^3*T2^2 + 
     196*T1^4*T2^2 - 166*T1^5*T2^2 + 86*T1^6*T2^2 - 15*T1^7*T2^2 - 
     18*T1^8*T2^2 + 27*T2^3 + 9*T1*T2^3 - 166*T1^2*T2^3 + 270*T1^3*T2^3 - 
     137*T1^4*T2^3 - 137*T1^5*T2^3 + 270*T1^6*T2^3 - 166*T1^7*T2^3 + 
     9*T1^8*T2^3 + 27*T1^9*T2^3 - 18*T2^4 + 9*T1*T2^4 + 196*T1^2*T2^4 - 
     137*T1^3*T2^4 - 204*T1^4*T2^4 + 442*T1^5*T2^4 - 204*T1^6*T2^4 - 
     137*T1^7*T2^4 + 196*T1^8*T2^4 + 9*T1^9*T2^4 - 18*T1^10*T2^4 + 3*T2^5 - 
     15*T1*T2^5 - 166*T1^2*T2^5 - 137*T1^3*T2^5 + 442*T1^4*T2^5 - 
     294*T1^5*T2^5 - 294*T1^6*T2^5 + 442*T1^7*T2^5 - 137*T1^8*T2^5 - 
     166*T1^9*T2^5 - 15*T1^10*T2^5 + 3*T1^11*T2^5 + 3*T2^6 + 6*T1*T2^6 + 
     86*T1^2*T2^6 + 270*T1^3*T2^6 - 204*T1^4*T2^6 - 294*T1^5*T2^6 + 
     696*T1^6*T2^6 - 294*T1^7*T2^6 - 204*T1^8*T2^6 + 270*T1^9*T2^6 + 
     86*T1^10*T2^6 + 6*T1^11*T2^6 + 3*T1^12*T2^6 + 3*T1*T2^7 - 15*T1^2*T2^7 - 
     166*T1^3*T2^7 - 137*T1^4*T2^7 + 442*T1^5*T2^7 - 294*T1^6*T2^7 - 
     294*T1^7*T2^7 + 442*T1^8*T2^7 - 137*T1^9*T2^7 - 166*T1^10*T2^7 - 
     15*T1^11*T2^7 + 3*T1^12*T2^7 - 18*T1^2*T2^8 + 9*T1^3*T2^8 + 
     196*T1^4*T2^8 - 137*T1^5*T2^8 - 204*T1^6*T2^8 + 442*T1^7*T2^8 - 
     204*T1^8*T2^8 - 137*T1^9*T2^8 + 196*T1^10*T2^8 + 9*T1^11*T2^8 - 
     18*T1^12*T2^8 + 27*T1^3*T2^9 + 9*T1^4*T2^9 - 166*T1^5*T2^9 + 
     270*T1^6*T2^9 - 137*T1^7*T2^9 - 137*T1^8*T2^9 + 270*T1^9*T2^9 - 
     166*T1^10*T2^9 + 9*T1^11*T2^9 + 27*T1^12*T2^9 - 18*T1^4*T2^10 - 
     15*T1^5*T2^10 + 86*T1^6*T2^10 - 166*T1^7*T2^10 + 196*T1^8*T2^10 - 
     166*T1^9*T2^10 + 86*T1^10*T2^10 - 15*T1^11*T2^10 - 18*T1^12*T2^10 + 
     3*T1^5*T2^11 + 6*T1^6*T2^11 - 15*T1^7*T2^11 + 9*T1^8*T2^11 + 
     9*T1^9*T2^11 - 15*T1^10*T2^11 + 6*T1^11*T2^11 + 3*T1^12*T2^11 + 
     3*T1^6*T2^12 + 3*T1^7*T2^12 - 18*T1^8*T2^12 + 27*T1^9*T2^12 - 
     18*T1^10*T2^12 + 3*T1^11*T2^12 + 3*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[11, NonAlternating, 184] -> 
  {((1 - T + T^2)*(2 - 7*T + 11*T^2 - 7*T^3 + 2*T^4))/T^3, 
   (9 - 41*T1 + 92*T1^2 - 115*T1^3 + 92*T1^4 - 41*T1^5 + 9*T1^6 - 41*T2 + 
     144*T1*T2 - 229*T1^2*T2 + 103*T1^3*T2 + 103*T1^4*T2 - 229*T1^5*T2 + 
     144*T1^6*T2 - 41*T1^7*T2 + 92*T2^2 - 229*T1*T2^2 + 213*T1^2*T2^2 + 
     214*T1^3*T2^2 - 365*T1^4*T2^2 + 214*T1^5*T2^2 + 213*T1^6*T2^2 - 
     229*T1^7*T2^2 + 92*T1^8*T2^2 - 115*T2^3 + 103*T1*T2^3 + 214*T1^2*T2^3 - 
     830*T1^3*T2^3 + 310*T1^4*T2^3 + 310*T1^5*T2^3 - 830*T1^6*T2^3 + 
     214*T1^7*T2^3 + 103*T1^8*T2^3 - 115*T1^9*T2^3 + 92*T2^4 + 103*T1*T2^4 - 
     365*T1^2*T2^4 + 310*T1^3*T2^4 + 1415*T1^4*T2^4 - 1799*T1^5*T2^4 + 
     1415*T1^6*T2^4 + 310*T1^7*T2^4 - 365*T1^8*T2^4 + 103*T1^9*T2^4 + 
     92*T1^10*T2^4 - 41*T2^5 - 229*T1*T2^5 + 214*T1^2*T2^5 + 310*T1^3*T2^5 - 
     1799*T1^4*T2^5 + 552*T1^5*T2^5 + 552*T1^6*T2^5 - 1799*T1^7*T2^5 + 
     310*T1^8*T2^5 + 214*T1^9*T2^5 - 229*T1^10*T2^5 - 41*T1^11*T2^5 + 
     9*T2^6 + 144*T1*T2^6 + 213*T1^2*T2^6 - 830*T1^3*T2^6 + 1415*T1^4*T2^6 + 
     552*T1^5*T2^6 - 732*T1^6*T2^6 + 552*T1^7*T2^6 + 1415*T1^8*T2^6 - 
     830*T1^9*T2^6 + 213*T1^10*T2^6 + 144*T1^11*T2^6 + 9*T1^12*T2^6 - 
     41*T1*T2^7 - 229*T1^2*T2^7 + 214*T1^3*T2^7 + 310*T1^4*T2^7 - 
     1799*T1^5*T2^7 + 552*T1^6*T2^7 + 552*T1^7*T2^7 - 1799*T1^8*T2^7 + 
     310*T1^9*T2^7 + 214*T1^10*T2^7 - 229*T1^11*T2^7 - 41*T1^12*T2^7 + 
     92*T1^2*T2^8 + 103*T1^3*T2^8 - 365*T1^4*T2^8 + 310*T1^5*T2^8 + 
     1415*T1^6*T2^8 - 1799*T1^7*T2^8 + 1415*T1^8*T2^8 + 310*T1^9*T2^8 - 
     365*T1^10*T2^8 + 103*T1^11*T2^8 + 92*T1^12*T2^8 - 115*T1^3*T2^9 + 
     103*T1^4*T2^9 + 214*T1^5*T2^9 - 830*T1^6*T2^9 + 310*T1^7*T2^9 + 
     310*T1^8*T2^9 - 830*T1^9*T2^9 + 214*T1^10*T2^9 + 103*T1^11*T2^9 - 
     115*T1^12*T2^9 + 92*T1^4*T2^10 - 229*T1^5*T2^10 + 213*T1^6*T2^10 + 
     214*T1^7*T2^10 - 365*T1^8*T2^10 + 214*T1^9*T2^10 + 213*T1^10*T2^10 - 
     229*T1^11*T2^10 + 92*T1^12*T2^10 - 41*T1^5*T2^11 + 144*T1^6*T2^11 - 
     229*T1^7*T2^11 + 103*T1^8*T2^11 + 103*T1^9*T2^11 - 229*T1^10*T2^11 + 
     144*T1^11*T2^11 - 41*T1^12*T2^11 + 9*T1^6*T2^12 - 41*T1^7*T2^12 + 
     92*T1^8*T2^12 - 115*T1^9*T2^12 + 92*T1^10*T2^12 - 41*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, Knot[11, NonAlternating, 185] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(2 - 3*T + 2*T^2))/T^3), 
   -((17 - 93*T1 + 202*T1^2 - 261*T1^3 + 202*T1^4 - 93*T1^5 + 17*T1^6 - 
      93*T2 + 416*T1*T2 - 593*T1^2*T2 + 321*T1^3*T2 + 321*T1^4*T2 - 
      593*T1^5*T2 + 416*T1^6*T2 - 93*T1^7*T2 + 202*T2^2 - 593*T1*T2^2 - 
      191*T1^2*T2^2 + 1832*T1^3*T2^2 - 2991*T1^4*T2^2 + 1832*T1^5*T2^2 - 
      191*T1^6*T2^2 - 593*T1^7*T2^2 + 202*T1^8*T2^2 - 261*T2^3 + 
      321*T1*T2^3 + 1832*T1^2*T2^3 - 3322*T1^3*T2^3 + 2140*T1^4*T2^3 + 
      2140*T1^5*T2^3 - 3322*T1^6*T2^3 + 1832*T1^7*T2^3 + 321*T1^8*T2^3 - 
      261*T1^9*T2^3 + 202*T2^4 + 321*T1*T2^4 - 2991*T1^2*T2^4 + 
      2140*T1^3*T2^4 + 1547*T1^4*T2^4 - 5281*T1^5*T2^4 + 1547*T1^6*T2^4 + 
      2140*T1^7*T2^4 - 2991*T1^8*T2^4 + 321*T1^9*T2^4 + 202*T1^10*T2^4 - 
      93*T2^5 - 593*T1*T2^5 + 1832*T1^2*T2^5 + 2140*T1^3*T2^5 - 
      5281*T1^4*T2^5 + 4104*T1^5*T2^5 + 4104*T1^6*T2^5 - 5281*T1^7*T2^5 + 
      2140*T1^8*T2^5 + 1832*T1^9*T2^5 - 593*T1^10*T2^5 - 93*T1^11*T2^5 + 
      17*T2^6 + 416*T1*T2^6 - 191*T1^2*T2^6 - 3322*T1^3*T2^6 + 
      1547*T1^4*T2^6 + 4104*T1^5*T2^6 - 9936*T1^6*T2^6 + 4104*T1^7*T2^6 + 
      1547*T1^8*T2^6 - 3322*T1^9*T2^6 - 191*T1^10*T2^6 + 416*T1^11*T2^6 + 
      17*T1^12*T2^6 - 93*T1*T2^7 - 593*T1^2*T2^7 + 1832*T1^3*T2^7 + 
      2140*T1^4*T2^7 - 5281*T1^5*T2^7 + 4104*T1^6*T2^7 + 4104*T1^7*T2^7 - 
      5281*T1^8*T2^7 + 2140*T1^9*T2^7 + 1832*T1^10*T2^7 - 593*T1^11*T2^7 - 
      93*T1^12*T2^7 + 202*T1^2*T2^8 + 321*T1^3*T2^8 - 2991*T1^4*T2^8 + 
      2140*T1^5*T2^8 + 1547*T1^6*T2^8 - 5281*T1^7*T2^8 + 1547*T1^8*T2^8 + 
      2140*T1^9*T2^8 - 2991*T1^10*T2^8 + 321*T1^11*T2^8 + 202*T1^12*T2^8 - 
      261*T1^3*T2^9 + 321*T1^4*T2^9 + 1832*T1^5*T2^9 - 3322*T1^6*T2^9 + 
      2140*T1^7*T2^9 + 2140*T1^8*T2^9 - 3322*T1^9*T2^9 + 1832*T1^10*T2^9 + 
      321*T1^11*T2^9 - 261*T1^12*T2^9 + 202*T1^4*T2^10 - 593*T1^5*T2^10 - 
      191*T1^6*T2^10 + 1832*T1^7*T2^10 - 2991*T1^8*T2^10 + 1832*T1^9*T2^10 - 
      191*T1^10*T2^10 - 593*T1^11*T2^10 + 202*T1^12*T2^10 - 93*T1^5*T2^11 + 
      416*T1^6*T2^11 - 593*T1^7*T2^11 + 321*T1^8*T2^11 + 321*T1^9*T2^11 - 
      593*T1^10*T2^11 + 416*T1^11*T2^11 - 93*T1^12*T2^11 + 17*T1^6*T2^12 - 
      93*T1^7*T2^12 + 202*T1^8*T2^12 - 261*T1^9*T2^12 + 202*T1^10*T2^12 - 
      93*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   (T1 - 4*T1^2 + 2*T1^3 - 4*T1^4 + T1^5 + T2 - 10*T1*T2 + 23*T1^2*T2 + 
     8*T1^3*T2 + 8*T1^4*T2 + 23*T1^5*T2 - 10*T1^6*T2 + T1^7*T2 - 4*T2^2 + 
     23*T1*T2^2 - 14*T1^2*T2^2 - 115*T1^3*T2^2 - 12*T1^4*T2^2 - 
     115*T1^5*T2^2 - 14*T1^6*T2^2 + 23*T1^7*T2^2 - 4*T1^8*T2^2 + 2*T2^3 + 
     8*T1*T2^3 - 115*T1^2*T2^3 + 272*T1^3*T2^3 + 214*T1^4*T2^3 + 
     214*T1^5*T2^3 + 272*T1^6*T2^3 - 115*T1^7*T2^3 + 8*T1^8*T2^3 + 
     2*T1^9*T2^3 - 4*T2^4 + 8*T1*T2^4 - 12*T1^2*T2^4 + 214*T1^3*T2^4 - 
     895*T1^4*T2^4 - 333*T1^5*T2^4 - 895*T1^6*T2^4 + 214*T1^7*T2^4 - 
     12*T1^8*T2^4 + 8*T1^9*T2^4 - 4*T1^10*T2^4 + T2^5 + 23*T1*T2^5 - 
     115*T1^2*T2^5 + 214*T1^3*T2^5 - 333*T1^4*T2^5 + 1582*T1^5*T2^5 + 
     1582*T1^6*T2^5 - 333*T1^7*T2^5 + 214*T1^8*T2^5 - 115*T1^9*T2^5 + 
     23*T1^10*T2^5 + T1^11*T2^5 - 10*T1*T2^6 - 14*T1^2*T2^6 + 272*T1^3*T2^6 - 
     895*T1^4*T2^6 + 1582*T1^5*T2^6 - 5076*T1^6*T2^6 + 1582*T1^7*T2^6 - 
     895*T1^8*T2^6 + 272*T1^9*T2^6 - 14*T1^10*T2^6 - 10*T1^11*T2^6 + 
     T1*T2^7 + 23*T1^2*T2^7 - 115*T1^3*T2^7 + 214*T1^4*T2^7 - 333*T1^5*T2^7 + 
     1582*T1^6*T2^7 + 1582*T1^7*T2^7 - 333*T1^8*T2^7 + 214*T1^9*T2^7 - 
     115*T1^10*T2^7 + 23*T1^11*T2^7 + T1^12*T2^7 - 4*T1^2*T2^8 + 
     8*T1^3*T2^8 - 12*T1^4*T2^8 + 214*T1^5*T2^8 - 895*T1^6*T2^8 - 
     333*T1^7*T2^8 - 895*T1^8*T2^8 + 214*T1^9*T2^8 - 12*T1^10*T2^8 + 
     8*T1^11*T2^8 - 4*T1^12*T2^8 + 2*T1^3*T2^9 + 8*T1^4*T2^9 - 
     115*T1^5*T2^9 + 272*T1^6*T2^9 + 214*T1^7*T2^9 + 214*T1^8*T2^9 + 
     272*T1^9*T2^9 - 115*T1^10*T2^9 + 8*T1^11*T2^9 + 2*T1^12*T2^9 - 
     4*T1^4*T2^10 + 23*T1^5*T2^10 - 14*T1^6*T2^10 - 115*T1^7*T2^10 - 
     12*T1^8*T2^10 - 115*T1^9*T2^10 - 14*T1^10*T2^10 + 23*T1^11*T2^10 - 
     4*T1^12*T2^10 + T1^5*T2^11 - 10*T1^6*T2^11 + 23*T1^7*T2^11 + 
     8*T1^8*T2^11 + 8*T1^9*T2^11 + 23*T1^10*T2^11 - 10*T1^11*T2^11 + 
     T1^12*T2^11 + T1^7*T2^12 - 4*T1^8*T2^12 + 2*T1^9*T2^12 - 4*T1^10*T2^12 + 
     T1^11*T2^12)/(T1^6*T2^6)}, 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), -((1 - 7*T1 + 21*T1^2 - 36*T1^3 + 41*T1^4 - 36*T1^5 + 21*T1^6 - 
      7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 98*T1^2*T2 + 105*T1^3*T2 - 
      35*T1^4*T2 - 35*T1^5*T2 + 105*T1^6*T2 - 98*T1^7*T2 + 42*T1^8*T2 - 
      7*T1^9*T2 + 21*T2^2 - 98*T1*T2^2 + 119*T1^2*T2^2 + 127*T1^3*T2^2 - 
      468*T1^4*T2^2 + 513*T1^5*T2^2 - 468*T1^6*T2^2 + 127*T1^7*T2^2 + 
      119*T1^8*T2^2 - 98*T1^9*T2^2 + 21*T1^10*T2^2 - 36*T2^3 + 105*T1*T2^3 + 
      127*T1^2*T2^3 - 810*T1^3*T2^3 + 1024*T1^4*T2^3 - 260*T1^5*T2^3 - 
      260*T1^6*T2^3 + 1024*T1^7*T2^3 - 810*T1^8*T2^3 + 127*T1^9*T2^3 + 
      105*T1^10*T2^3 - 36*T1^11*T2^3 + 41*T2^4 - 35*T1*T2^4 - 468*T1^2*T2^4 + 
      1024*T1^3*T2^4 + 66*T1^4*T2^4 - 2060*T1^5*T2^4 + 2168*T1^6*T2^4 - 
      2060*T1^7*T2^4 + 66*T1^8*T2^4 + 1024*T1^9*T2^4 - 468*T1^10*T2^4 - 
      35*T1^11*T2^4 + 41*T1^12*T2^4 - 36*T2^5 - 35*T1*T2^5 + 513*T1^2*T2^5 - 
      260*T1^3*T2^5 - 2060*T1^4*T2^5 + 3374*T1^5*T2^5 - 926*T1^6*T2^5 - 
      926*T1^7*T2^5 + 3374*T1^8*T2^5 - 2060*T1^9*T2^5 - 260*T1^10*T2^5 + 
      513*T1^11*T2^5 - 35*T1^12*T2^5 - 36*T1^13*T2^5 + 21*T2^6 + 
      105*T1*T2^6 - 468*T1^2*T2^6 - 260*T1^3*T2^6 + 2168*T1^4*T2^6 - 
      926*T1^5*T2^6 - 3626*T1^6*T2^6 + 4576*T1^7*T2^6 - 3626*T1^8*T2^6 - 
      926*T1^9*T2^6 + 2168*T1^10*T2^6 - 260*T1^11*T2^6 - 468*T1^12*T2^6 + 
      105*T1^13*T2^6 + 21*T1^14*T2^6 - 7*T2^7 - 98*T1*T2^7 + 127*T1^2*T2^7 + 
      1024*T1^3*T2^7 - 2060*T1^4*T2^7 - 926*T1^5*T2^7 + 4576*T1^6*T2^7 - 
      1938*T1^7*T2^7 - 1938*T1^8*T2^7 + 4576*T1^9*T2^7 - 926*T1^10*T2^7 - 
      2060*T1^11*T2^7 + 1024*T1^12*T2^7 + 127*T1^13*T2^7 - 98*T1^14*T2^7 - 
      7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 119*T1^2*T2^8 - 810*T1^3*T2^8 + 
      66*T1^4*T2^8 + 3374*T1^5*T2^8 - 3626*T1^6*T2^8 - 1938*T1^7*T2^8 + 
      4200*T1^8*T2^8 - 1938*T1^9*T2^8 - 3626*T1^10*T2^8 + 3374*T1^11*T2^8 + 
      66*T1^12*T2^8 - 810*T1^13*T2^8 + 119*T1^14*T2^8 + 42*T1^15*T2^8 + 
      T1^16*T2^8 - 7*T1*T2^9 - 98*T1^2*T2^9 + 127*T1^3*T2^9 + 
      1024*T1^4*T2^9 - 2060*T1^5*T2^9 - 926*T1^6*T2^9 + 4576*T1^7*T2^9 - 
      1938*T1^8*T2^9 - 1938*T1^9*T2^9 + 4576*T1^10*T2^9 - 926*T1^11*T2^9 - 
      2060*T1^12*T2^9 + 1024*T1^13*T2^9 + 127*T1^14*T2^9 - 98*T1^15*T2^9 - 
      7*T1^16*T2^9 + 21*T1^2*T2^10 + 105*T1^3*T2^10 - 468*T1^4*T2^10 - 
      260*T1^5*T2^10 + 2168*T1^6*T2^10 - 926*T1^7*T2^10 - 3626*T1^8*T2^10 + 
      4576*T1^9*T2^10 - 3626*T1^10*T2^10 - 926*T1^11*T2^10 + 
      2168*T1^12*T2^10 - 260*T1^13*T2^10 - 468*T1^14*T2^10 + 
      105*T1^15*T2^10 + 21*T1^16*T2^10 - 36*T1^3*T2^11 - 35*T1^4*T2^11 + 
      513*T1^5*T2^11 - 260*T1^6*T2^11 - 2060*T1^7*T2^11 + 3374*T1^8*T2^11 - 
      926*T1^9*T2^11 - 926*T1^10*T2^11 + 3374*T1^11*T2^11 - 
      2060*T1^12*T2^11 - 260*T1^13*T2^11 + 513*T1^14*T2^11 - 35*T1^15*T2^11 - 
      36*T1^16*T2^11 + 41*T1^4*T2^12 - 35*T1^5*T2^12 - 468*T1^6*T2^12 + 
      1024*T1^7*T2^12 + 66*T1^8*T2^12 - 2060*T1^9*T2^12 + 2168*T1^10*T2^12 - 
      2060*T1^11*T2^12 + 66*T1^12*T2^12 + 1024*T1^13*T2^12 - 
      468*T1^14*T2^12 - 35*T1^15*T2^12 + 41*T1^16*T2^12 - 36*T1^5*T2^13 + 
      105*T1^6*T2^13 + 127*T1^7*T2^13 - 810*T1^8*T2^13 + 1024*T1^9*T2^13 - 
      260*T1^10*T2^13 - 260*T1^11*T2^13 + 1024*T1^12*T2^13 - 
      810*T1^13*T2^13 + 127*T1^14*T2^13 + 105*T1^15*T2^13 - 36*T1^16*T2^13 + 
      21*T1^6*T2^14 - 98*T1^7*T2^14 + 119*T1^8*T2^14 + 127*T1^9*T2^14 - 
      468*T1^10*T2^14 + 513*T1^11*T2^14 - 468*T1^12*T2^14 + 127*T1^13*T2^14 + 
      119*T1^14*T2^14 - 98*T1^15*T2^14 + 21*T1^16*T2^14 - 7*T1^7*T2^15 + 
      42*T1^8*T2^15 - 98*T1^9*T2^15 + 105*T1^10*T2^15 - 35*T1^11*T2^15 - 
      35*T1^12*T2^15 + 105*T1^13*T2^15 - 98*T1^14*T2^15 + 42*T1^15*T2^15 - 
      7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 21*T1^10*T2^16 - 
      36*T1^11*T2^16 + 41*T1^12*T2^16 - 36*T1^13*T2^16 + 21*T1^14*T2^16 - 
      7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 3] -> 
  {-(((-2 + 6*T - 4*T^2 + T^3)*(-1 + 4*T - 6*T^2 + 2*T^3))/T^3), 
   -((1 - 7*T1 + 20*T1^2 - 29*T1^3 + 20*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 91*T1^2*T2 + 63*T1^3*T2 + 63*T1^4*T2 - 91*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 20*T2^2 - 91*T1*T2^2 + 85*T1^2*T2^2 + 
      207*T1^3*T2^2 - 515*T1^4*T2^2 + 207*T1^5*T2^2 + 85*T1^6*T2^2 - 
      91*T1^7*T2^2 + 20*T1^8*T2^2 - 29*T2^3 + 63*T1*T2^3 + 207*T1^2*T2^3 - 
      738*T1^3*T2^3 + 590*T1^4*T2^3 + 590*T1^5*T2^3 - 738*T1^6*T2^3 + 
      207*T1^7*T2^3 + 63*T1^8*T2^3 - 29*T1^9*T2^3 + 20*T2^4 + 63*T1*T2^4 - 
      515*T1^2*T2^4 + 590*T1^3*T2^4 + 480*T1^4*T2^4 - 1516*T1^5*T2^4 + 
      480*T1^6*T2^4 + 590*T1^7*T2^4 - 515*T1^8*T2^4 + 63*T1^9*T2^4 + 
      20*T1^10*T2^4 - 7*T2^5 - 91*T1*T2^5 + 207*T1^2*T2^5 + 590*T1^3*T2^5 - 
      1516*T1^4*T2^5 + 886*T1^5*T2^5 + 886*T1^6*T2^5 - 1516*T1^7*T2^5 + 
      590*T1^8*T2^5 + 207*T1^9*T2^5 - 91*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 + 85*T1^2*T2^6 - 738*T1^3*T2^6 + 480*T1^4*T2^6 + 
      886*T1^5*T2^6 - 1560*T1^6*T2^6 + 886*T1^7*T2^6 + 480*T1^8*T2^6 - 
      738*T1^9*T2^6 + 85*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 91*T1^2*T2^7 + 207*T1^3*T2^7 + 590*T1^4*T2^7 - 
      1516*T1^5*T2^7 + 886*T1^6*T2^7 + 886*T1^7*T2^7 - 1516*T1^8*T2^7 + 
      590*T1^9*T2^7 + 207*T1^10*T2^7 - 91*T1^11*T2^7 - 7*T1^12*T2^7 + 
      20*T1^2*T2^8 + 63*T1^3*T2^8 - 515*T1^4*T2^8 + 590*T1^5*T2^8 + 
      480*T1^6*T2^8 - 1516*T1^7*T2^8 + 480*T1^8*T2^8 + 590*T1^9*T2^8 - 
      515*T1^10*T2^8 + 63*T1^11*T2^8 + 20*T1^12*T2^8 - 29*T1^3*T2^9 + 
      63*T1^4*T2^9 + 207*T1^5*T2^9 - 738*T1^6*T2^9 + 590*T1^7*T2^9 + 
      590*T1^8*T2^9 - 738*T1^9*T2^9 + 207*T1^10*T2^9 + 63*T1^11*T2^9 - 
      29*T1^12*T2^9 + 20*T1^4*T2^10 - 91*T1^5*T2^10 + 85*T1^6*T2^10 + 
      207*T1^7*T2^10 - 515*T1^8*T2^10 + 207*T1^9*T2^10 + 85*T1^10*T2^10 - 
      91*T1^11*T2^10 + 20*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      91*T1^7*T2^11 + 63*T1^8*T2^11 + 63*T1^9*T2^11 - 91*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      20*T1^8*T2^12 - 29*T1^9*T2^12 + 20*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   0}, Knot[12, Alternating, 5] -> 
  {(3 - 19*T + 47*T^2 - 61*T^3 + 47*T^4 - 19*T^5 + 3*T^6)/T^3, 
   (30 - 188*T1 + 458*T1^2 - 588*T1^3 + 458*T1^4 - 188*T1^5 + 30*T1^6 - 
     188*T2 + 996*T1*T2 - 1715*T1^2*T2 + 833*T1^3*T2 + 833*T1^4*T2 - 
     1715*T1^5*T2 + 996*T1^6*T2 - 188*T1^7*T2 + 458*T2^2 - 1715*T1*T2^2 + 
     145*T1^2*T2^2 + 6149*T1^3*T2^2 - 9281*T1^4*T2^2 + 6149*T1^5*T2^2 + 
     145*T1^6*T2^2 - 1715*T1^7*T2^2 + 458*T1^8*T2^2 - 588*T2^3 + 
     833*T1*T2^3 + 6149*T1^2*T2^3 - 15328*T1^3*T2^3 + 7695*T1^4*T2^3 + 
     7695*T1^5*T2^3 - 15328*T1^6*T2^3 + 6149*T1^7*T2^3 + 833*T1^8*T2^3 - 
     588*T1^9*T2^3 + 458*T2^4 + 833*T1*T2^4 - 9281*T1^2*T2^4 + 
     7695*T1^3*T2^4 + 19550*T1^4*T2^4 - 33360*T1^5*T2^4 + 19550*T1^6*T2^4 + 
     7695*T1^7*T2^4 - 9281*T1^8*T2^4 + 833*T1^9*T2^4 + 458*T1^10*T2^4 - 
     188*T2^5 - 1715*T1*T2^5 + 6149*T1^2*T2^5 + 7695*T1^3*T2^5 - 
     33360*T1^4*T2^5 + 17558*T1^5*T2^5 + 17558*T1^6*T2^5 - 33360*T1^7*T2^5 + 
     7695*T1^8*T2^5 + 6149*T1^9*T2^5 - 1715*T1^10*T2^5 - 188*T1^11*T2^5 + 
     30*T2^6 + 996*T1*T2^6 + 145*T1^2*T2^6 - 15328*T1^3*T2^6 + 
     19550*T1^4*T2^6 + 17558*T1^5*T2^6 - 37116*T1^6*T2^6 + 17558*T1^7*T2^6 + 
     19550*T1^8*T2^6 - 15328*T1^9*T2^6 + 145*T1^10*T2^6 + 996*T1^11*T2^6 + 
     30*T1^12*T2^6 - 188*T1*T2^7 - 1715*T1^2*T2^7 + 6149*T1^3*T2^7 + 
     7695*T1^4*T2^7 - 33360*T1^5*T2^7 + 17558*T1^6*T2^7 + 17558*T1^7*T2^7 - 
     33360*T1^8*T2^7 + 7695*T1^9*T2^7 + 6149*T1^10*T2^7 - 1715*T1^11*T2^7 - 
     188*T1^12*T2^7 + 458*T1^2*T2^8 + 833*T1^3*T2^8 - 9281*T1^4*T2^8 + 
     7695*T1^5*T2^8 + 19550*T1^6*T2^8 - 33360*T1^7*T2^8 + 19550*T1^8*T2^8 + 
     7695*T1^9*T2^8 - 9281*T1^10*T2^8 + 833*T1^11*T2^8 + 458*T1^12*T2^8 - 
     588*T1^3*T2^9 + 833*T1^4*T2^9 + 6149*T1^5*T2^9 - 15328*T1^6*T2^9 + 
     7695*T1^7*T2^9 + 7695*T1^8*T2^9 - 15328*T1^9*T2^9 + 6149*T1^10*T2^9 + 
     833*T1^11*T2^9 - 588*T1^12*T2^9 + 458*T1^4*T2^10 - 1715*T1^5*T2^10 + 
     145*T1^6*T2^10 + 6149*T1^7*T2^10 - 9281*T1^8*T2^10 + 6149*T1^9*T2^10 + 
     145*T1^10*T2^10 - 1715*T1^11*T2^10 + 458*T1^12*T2^10 - 188*T1^5*T2^11 + 
     996*T1^6*T2^11 - 1715*T1^7*T2^11 + 833*T1^8*T2^11 + 833*T1^9*T2^11 - 
     1715*T1^10*T2^11 + 996*T1^11*T2^11 - 188*T1^12*T2^11 + 30*T1^6*T2^12 - 
     188*T1^7*T2^12 + 458*T1^8*T2^12 - 588*T1^9*T2^12 + 458*T1^10*T2^12 - 
     188*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 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), -((1 - 7*T1 + 23*T1^2 - 44*T1^3 + 53*T1^4 - 44*T1^5 + 23*T1^6 - 
      7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 112*T1^2*T2 + 147*T1^3*T2 - 
      63*T1^4*T2 - 63*T1^5*T2 + 147*T1^6*T2 - 112*T1^7*T2 + 42*T1^8*T2 - 
      7*T1^9*T2 + 23*T2^2 - 112*T1*T2^2 + 209*T1^2*T2^2 - 46*T1^3*T2^2 - 
      411*T1^4*T2^2 + 583*T1^5*T2^2 - 411*T1^6*T2^2 - 46*T1^7*T2^2 + 
      209*T1^8*T2^2 - 112*T1^9*T2^2 + 23*T1^10*T2^2 - 44*T2^3 + 147*T1*T2^3 - 
      46*T1^2*T2^3 - 680*T1^3*T2^3 + 1361*T1^4*T2^3 - 555*T1^5*T2^3 - 
      555*T1^6*T2^3 + 1361*T1^7*T2^3 - 680*T1^8*T2^3 - 46*T1^9*T2^3 + 
      147*T1^10*T2^3 - 44*T1^11*T2^3 + 53*T2^4 - 63*T1*T2^4 - 411*T1^2*T2^4 + 
      1361*T1^3*T2^4 - 751*T1^4*T2^4 - 2383*T1^5*T2^4 + 3367*T1^6*T2^4 - 
      2383*T1^7*T2^4 - 751*T1^8*T2^4 + 1361*T1^9*T2^4 - 411*T1^10*T2^4 - 
      63*T1^11*T2^4 + 53*T1^12*T2^4 - 44*T2^5 - 63*T1*T2^5 + 583*T1^2*T2^5 - 
      555*T1^3*T2^5 - 2383*T1^4*T2^5 + 5796*T1^5*T2^5 - 2279*T1^6*T2^5 - 
      2279*T1^7*T2^5 + 5796*T1^8*T2^5 - 2383*T1^9*T2^5 - 555*T1^10*T2^5 + 
      583*T1^11*T2^5 - 63*T1^12*T2^5 - 44*T1^13*T2^5 + 23*T2^6 + 
      147*T1*T2^6 - 411*T1^2*T2^6 - 555*T1^3*T2^6 + 3367*T1^4*T2^6 - 
      2279*T1^5*T2^6 - 6706*T1^6*T2^6 + 9438*T1^7*T2^6 - 6706*T1^8*T2^6 - 
      2279*T1^9*T2^6 + 3367*T1^10*T2^6 - 555*T1^11*T2^6 - 411*T1^12*T2^6 + 
      147*T1^13*T2^6 + 23*T1^14*T2^6 - 7*T2^7 - 112*T1*T2^7 - 46*T1^2*T2^7 + 
      1361*T1^3*T2^7 - 2383*T1^4*T2^7 - 2279*T1^5*T2^7 + 9438*T1^6*T2^7 - 
      3766*T1^7*T2^7 - 3766*T1^8*T2^7 + 9438*T1^9*T2^7 - 2279*T1^10*T2^7 - 
      2383*T1^11*T2^7 + 1361*T1^12*T2^7 - 46*T1^13*T2^7 - 112*T1^14*T2^7 - 
      7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 209*T1^2*T2^8 - 680*T1^3*T2^8 - 
      751*T1^4*T2^8 + 5796*T1^5*T2^8 - 6706*T1^6*T2^8 - 3766*T1^7*T2^8 + 
      6912*T1^8*T2^8 - 3766*T1^9*T2^8 - 6706*T1^10*T2^8 + 5796*T1^11*T2^8 - 
      751*T1^12*T2^8 - 680*T1^13*T2^8 + 209*T1^14*T2^8 + 42*T1^15*T2^8 + 
      T1^16*T2^8 - 7*T1*T2^9 - 112*T1^2*T2^9 - 46*T1^3*T2^9 + 
      1361*T1^4*T2^9 - 2383*T1^5*T2^9 - 2279*T1^6*T2^9 + 9438*T1^7*T2^9 - 
      3766*T1^8*T2^9 - 3766*T1^9*T2^9 + 9438*T1^10*T2^9 - 2279*T1^11*T2^9 - 
      2383*T1^12*T2^9 + 1361*T1^13*T2^9 - 46*T1^14*T2^9 - 112*T1^15*T2^9 - 
      7*T1^16*T2^9 + 23*T1^2*T2^10 + 147*T1^3*T2^10 - 411*T1^4*T2^10 - 
      555*T1^5*T2^10 + 3367*T1^6*T2^10 - 2279*T1^7*T2^10 - 6706*T1^8*T2^10 + 
      9438*T1^9*T2^10 - 6706*T1^10*T2^10 - 2279*T1^11*T2^10 + 
      3367*T1^12*T2^10 - 555*T1^13*T2^10 - 411*T1^14*T2^10 + 
      147*T1^15*T2^10 + 23*T1^16*T2^10 - 44*T1^3*T2^11 - 63*T1^4*T2^11 + 
      583*T1^5*T2^11 - 555*T1^6*T2^11 - 2383*T1^7*T2^11 + 5796*T1^8*T2^11 - 
      2279*T1^9*T2^11 - 2279*T1^10*T2^11 + 5796*T1^11*T2^11 - 
      2383*T1^12*T2^11 - 555*T1^13*T2^11 + 583*T1^14*T2^11 - 63*T1^15*T2^11 - 
      44*T1^16*T2^11 + 53*T1^4*T2^12 - 63*T1^5*T2^12 - 411*T1^6*T2^12 + 
      1361*T1^7*T2^12 - 751*T1^8*T2^12 - 2383*T1^9*T2^12 + 3367*T1^10*T2^12 - 
      2383*T1^11*T2^12 - 751*T1^12*T2^12 + 1361*T1^13*T2^12 - 
      411*T1^14*T2^12 - 63*T1^15*T2^12 + 53*T1^16*T2^12 - 44*T1^5*T2^13 + 
      147*T1^6*T2^13 - 46*T1^7*T2^13 - 680*T1^8*T2^13 + 1361*T1^9*T2^13 - 
      555*T1^10*T2^13 - 555*T1^11*T2^13 + 1361*T1^12*T2^13 - 
      680*T1^13*T2^13 - 46*T1^14*T2^13 + 147*T1^15*T2^13 - 44*T1^16*T2^13 + 
      23*T1^6*T2^14 - 112*T1^7*T2^14 + 209*T1^8*T2^14 - 46*T1^9*T2^14 - 
      411*T1^10*T2^14 + 583*T1^11*T2^14 - 411*T1^12*T2^14 - 46*T1^13*T2^14 + 
      209*T1^14*T2^14 - 112*T1^15*T2^14 + 23*T1^16*T2^14 - 7*T1^7*T2^15 + 
      42*T1^8*T2^15 - 112*T1^9*T2^15 + 147*T1^10*T2^15 - 63*T1^11*T2^15 - 
      63*T1^12*T2^15 + 147*T1^13*T2^15 - 112*T1^14*T2^15 + 42*T1^15*T2^15 - 
      7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 23*T1^10*T2^16 - 
      44*T1^11*T2^16 + 53*T1^12*T2^16 - 44*T1^13*T2^16 + 23*T1^14*T2^16 - 
      7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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), (1 - 8*T1 + 28*T1^2 - 55*T1^3 + 67*T1^4 - 55*T1^5 + 28*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 160*T1^2*T2 + 216*T1^3*T2 - 
     96*T1^4*T2 - 96*T1^5*T2 + 216*T1^6*T2 - 160*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 28*T2^2 - 160*T1*T2^2 + 298*T1^2*T2^2 + 43*T1^3*T2^2 - 
     902*T1^4*T2^2 + 1264*T1^5*T2^2 - 902*T1^6*T2^2 + 43*T1^7*T2^2 + 
     298*T1^8*T2^2 - 160*T1^9*T2^2 + 28*T1^10*T2^2 - 55*T2^3 + 216*T1*T2^3 + 
     43*T1^2*T2^3 - 1598*T1^3*T2^3 + 2974*T1^4*T2^3 - 1293*T1^5*T2^3 - 
     1293*T1^6*T2^3 + 2974*T1^7*T2^3 - 1598*T1^8*T2^3 + 43*T1^9*T2^3 + 
     216*T1^10*T2^3 - 55*T1^11*T2^3 + 67*T2^4 - 96*T1*T2^4 - 902*T1^2*T2^4 + 
     2974*T1^3*T2^4 - 1279*T1^4*T2^4 - 6101*T1^5*T2^4 + 8835*T1^6*T2^4 - 
     6101*T1^7*T2^4 - 1279*T1^8*T2^4 + 2974*T1^9*T2^4 - 902*T1^10*T2^4 - 
     96*T1^11*T2^4 + 67*T1^12*T2^4 - 55*T2^5 - 96*T1*T2^5 + 1264*T1^2*T2^5 - 
     1293*T1^3*T2^5 - 6101*T1^4*T2^5 + 14530*T1^5*T2^5 - 6122*T1^6*T2^5 - 
     6122*T1^7*T2^5 + 14530*T1^8*T2^5 - 6101*T1^9*T2^5 - 1293*T1^10*T2^5 + 
     1264*T1^11*T2^5 - 96*T1^12*T2^5 - 55*T1^13*T2^5 + 28*T2^6 + 
     216*T1*T2^6 - 902*T1^2*T2^6 - 1293*T1^3*T2^6 + 8835*T1^4*T2^6 - 
     6122*T1^5*T2^6 - 17020*T1^6*T2^6 + 25078*T1^7*T2^6 - 17020*T1^8*T2^6 - 
     6122*T1^9*T2^6 + 8835*T1^10*T2^6 - 1293*T1^11*T2^6 - 902*T1^12*T2^6 + 
     216*T1^13*T2^6 + 28*T1^14*T2^6 - 8*T2^7 - 160*T1*T2^7 + 43*T1^2*T2^7 + 
     2974*T1^3*T2^7 - 6101*T1^4*T2^7 - 6122*T1^5*T2^7 + 25078*T1^6*T2^7 - 
     10596*T1^7*T2^7 - 10596*T1^8*T2^7 + 25078*T1^9*T2^7 - 6122*T1^10*T2^7 - 
     6101*T1^11*T2^7 + 2974*T1^12*T2^7 + 43*T1^13*T2^7 - 160*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 298*T1^2*T2^8 - 1598*T1^3*T2^8 - 
     1279*T1^4*T2^8 + 14530*T1^5*T2^8 - 17020*T1^6*T2^8 - 10596*T1^7*T2^8 + 
     19896*T1^8*T2^8 - 10596*T1^9*T2^8 - 17020*T1^10*T2^8 + 
     14530*T1^11*T2^8 - 1279*T1^12*T2^8 - 1598*T1^13*T2^8 + 298*T1^14*T2^8 + 
     56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 160*T1^2*T2^9 + 43*T1^3*T2^9 + 
     2974*T1^4*T2^9 - 6101*T1^5*T2^9 - 6122*T1^6*T2^9 + 25078*T1^7*T2^9 - 
     10596*T1^8*T2^9 - 10596*T1^9*T2^9 + 25078*T1^10*T2^9 - 6122*T1^11*T2^9 - 
     6101*T1^12*T2^9 + 2974*T1^13*T2^9 + 43*T1^14*T2^9 - 160*T1^15*T2^9 - 
     8*T1^16*T2^9 + 28*T1^2*T2^10 + 216*T1^3*T2^10 - 902*T1^4*T2^10 - 
     1293*T1^5*T2^10 + 8835*T1^6*T2^10 - 6122*T1^7*T2^10 - 17020*T1^8*T2^10 + 
     25078*T1^9*T2^10 - 17020*T1^10*T2^10 - 6122*T1^11*T2^10 + 
     8835*T1^12*T2^10 - 1293*T1^13*T2^10 - 902*T1^14*T2^10 + 
     216*T1^15*T2^10 + 28*T1^16*T2^10 - 55*T1^3*T2^11 - 96*T1^4*T2^11 + 
     1264*T1^5*T2^11 - 1293*T1^6*T2^11 - 6101*T1^7*T2^11 + 14530*T1^8*T2^11 - 
     6122*T1^9*T2^11 - 6122*T1^10*T2^11 + 14530*T1^11*T2^11 - 
     6101*T1^12*T2^11 - 1293*T1^13*T2^11 + 1264*T1^14*T2^11 - 
     96*T1^15*T2^11 - 55*T1^16*T2^11 + 67*T1^4*T2^12 - 96*T1^5*T2^12 - 
     902*T1^6*T2^12 + 2974*T1^7*T2^12 - 1279*T1^8*T2^12 - 6101*T1^9*T2^12 + 
     8835*T1^10*T2^12 - 6101*T1^11*T2^12 - 1279*T1^12*T2^12 + 
     2974*T1^13*T2^12 - 902*T1^14*T2^12 - 96*T1^15*T2^12 + 67*T1^16*T2^12 - 
     55*T1^5*T2^13 + 216*T1^6*T2^13 + 43*T1^7*T2^13 - 1598*T1^8*T2^13 + 
     2974*T1^9*T2^13 - 1293*T1^10*T2^13 - 1293*T1^11*T2^13 + 
     2974*T1^12*T2^13 - 1598*T1^13*T2^13 + 43*T1^14*T2^13 + 216*T1^15*T2^13 - 
     55*T1^16*T2^13 + 28*T1^6*T2^14 - 160*T1^7*T2^14 + 298*T1^8*T2^14 + 
     43*T1^9*T2^14 - 902*T1^10*T2^14 + 1264*T1^11*T2^14 - 902*T1^12*T2^14 + 
     43*T1^13*T2^14 + 298*T1^14*T2^14 - 160*T1^15*T2^14 + 28*T1^16*T2^14 - 
     8*T1^7*T2^15 + 56*T1^8*T2^15 - 160*T1^9*T2^15 + 216*T1^10*T2^15 - 
     96*T1^11*T2^15 - 96*T1^12*T2^15 + 216*T1^13*T2^15 - 160*T1^14*T2^15 + 
     56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 8*T1^9*T2^16 + 
     28*T1^10*T2^16 - 55*T1^11*T2^16 + 67*T1^12*T2^16 - 55*T1^13*T2^16 + 
     28*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 
   -((2*T1 - 9*T1^2 + 16*T1^3 - 9*T1^4 + 2*T1^5 + 2*T2 - 20*T1*T2 + 
      52*T1^2*T2 - 43*T1^3*T2 - 43*T1^4*T2 + 52*T1^5*T2 - 20*T1^6*T2 + 
      2*T1^7*T2 - 9*T2^2 + 52*T1*T2^2 - 39*T1^2*T2^2 - 174*T1^3*T2^2 + 
      407*T1^4*T2^2 - 174*T1^5*T2^2 - 39*T1^6*T2^2 + 52*T1^7*T2^2 - 
      9*T1^8*T2^2 + 16*T2^3 - 43*T1*T2^3 - 174*T1^2*T2^3 + 604*T1^3*T2^3 - 
      473*T1^4*T2^3 - 473*T1^5*T2^3 + 604*T1^6*T2^3 - 174*T1^7*T2^3 - 
      43*T1^8*T2^3 + 16*T1^9*T2^3 - 9*T2^4 - 43*T1*T2^4 + 407*T1^2*T2^4 - 
      473*T1^3*T2^4 - 647*T1^4*T2^4 + 1723*T1^5*T2^4 - 647*T1^6*T2^4 - 
      473*T1^7*T2^4 + 407*T1^8*T2^4 - 43*T1^9*T2^4 - 9*T1^10*T2^4 + 2*T2^5 + 
      52*T1*T2^5 - 174*T1^2*T2^5 - 473*T1^3*T2^5 + 1723*T1^4*T2^5 - 
      1232*T1^5*T2^5 - 1232*T1^6*T2^5 + 1723*T1^7*T2^5 - 473*T1^8*T2^5 - 
      174*T1^9*T2^5 + 52*T1^10*T2^5 + 2*T1^11*T2^5 - 20*T1*T2^6 - 
      39*T1^2*T2^6 + 604*T1^3*T2^6 - 647*T1^4*T2^6 - 1232*T1^5*T2^6 + 
      2868*T1^6*T2^6 - 1232*T1^7*T2^6 - 647*T1^8*T2^6 + 604*T1^9*T2^6 - 
      39*T1^10*T2^6 - 20*T1^11*T2^6 + 2*T1*T2^7 + 52*T1^2*T2^7 - 
      174*T1^3*T2^7 - 473*T1^4*T2^7 + 1723*T1^5*T2^7 - 1232*T1^6*T2^7 - 
      1232*T1^7*T2^7 + 1723*T1^8*T2^7 - 473*T1^9*T2^7 - 174*T1^10*T2^7 + 
      52*T1^11*T2^7 + 2*T1^12*T2^7 - 9*T1^2*T2^8 - 43*T1^3*T2^8 + 
      407*T1^4*T2^8 - 473*T1^5*T2^8 - 647*T1^6*T2^8 + 1723*T1^7*T2^8 - 
      647*T1^8*T2^8 - 473*T1^9*T2^8 + 407*T1^10*T2^8 - 43*T1^11*T2^8 - 
      9*T1^12*T2^8 + 16*T1^3*T2^9 - 43*T1^4*T2^9 - 174*T1^5*T2^9 + 
      604*T1^6*T2^9 - 473*T1^7*T2^9 - 473*T1^8*T2^9 + 604*T1^9*T2^9 - 
      174*T1^10*T2^9 - 43*T1^11*T2^9 + 16*T1^12*T2^9 - 9*T1^4*T2^10 + 
      52*T1^5*T2^10 - 39*T1^6*T2^10 - 174*T1^7*T2^10 + 407*T1^8*T2^10 - 
      174*T1^9*T2^10 - 39*T1^10*T2^10 + 52*T1^11*T2^10 - 9*T1^12*T2^10 + 
      2*T1^5*T2^11 - 20*T1^6*T2^11 + 52*T1^7*T2^11 - 43*T1^8*T2^11 - 
      43*T1^9*T2^11 + 52*T1^10*T2^11 - 20*T1^11*T2^11 + 2*T1^12*T2^11 + 
      2*T1^7*T2^12 - 9*T1^8*T2^12 + 16*T1^9*T2^12 - 9*T1^10*T2^12 + 
      2*T1^11*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 9] -> 
  {(2 - 12*T + 28*T^2 - 35*T^3 + 28*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (7 - 41*T1 + 94*T1^2 - 117*T1^3 + 94*T1^4 - 41*T1^5 + 7*T1^6 - 41*T2 + 
     198*T1*T2 - 307*T1^2*T2 + 133*T1^3*T2 + 133*T1^4*T2 - 307*T1^5*T2 + 
     198*T1^6*T2 - 41*T1^7*T2 + 94*T2^2 - 307*T1*T2^2 - 46*T1^2*T2^2 + 
     1066*T1^3*T2^2 - 1454*T1^4*T2^2 + 1066*T1^5*T2^2 - 46*T1^6*T2^2 - 
     307*T1^7*T2^2 + 94*T1^8*T2^2 - 117*T2^3 + 133*T1*T2^3 + 1066*T1^2*T2^3 - 
     2276*T1^3*T2^3 + 988*T1^4*T2^3 + 988*T1^5*T2^3 - 2276*T1^6*T2^3 + 
     1066*T1^7*T2^3 + 133*T1^8*T2^3 - 117*T1^9*T2^3 + 94*T2^4 + 133*T1*T2^4 - 
     1454*T1^2*T2^4 + 988*T1^3*T2^4 + 2786*T1^4*T2^4 - 4436*T1^5*T2^4 + 
     2786*T1^6*T2^4 + 988*T1^7*T2^4 - 1454*T1^8*T2^4 + 133*T1^9*T2^4 + 
     94*T1^10*T2^4 - 41*T2^5 - 307*T1*T2^5 + 1066*T1^2*T2^5 + 988*T1^3*T2^5 - 
     4436*T1^4*T2^5 + 2358*T1^5*T2^5 + 2358*T1^6*T2^5 - 4436*T1^7*T2^5 + 
     988*T1^8*T2^5 + 1066*T1^9*T2^5 - 307*T1^10*T2^5 - 41*T1^11*T2^5 + 
     7*T2^6 + 198*T1*T2^6 - 46*T1^2*T2^6 - 2276*T1^3*T2^6 + 2786*T1^4*T2^6 + 
     2358*T1^5*T2^6 - 5316*T1^6*T2^6 + 2358*T1^7*T2^6 + 2786*T1^8*T2^6 - 
     2276*T1^9*T2^6 - 46*T1^10*T2^6 + 198*T1^11*T2^6 + 7*T1^12*T2^6 - 
     41*T1*T2^7 - 307*T1^2*T2^7 + 1066*T1^3*T2^7 + 988*T1^4*T2^7 - 
     4436*T1^5*T2^7 + 2358*T1^6*T2^7 + 2358*T1^7*T2^7 - 4436*T1^8*T2^7 + 
     988*T1^9*T2^7 + 1066*T1^10*T2^7 - 307*T1^11*T2^7 - 41*T1^12*T2^7 + 
     94*T1^2*T2^8 + 133*T1^3*T2^8 - 1454*T1^4*T2^8 + 988*T1^5*T2^8 + 
     2786*T1^6*T2^8 - 4436*T1^7*T2^8 + 2786*T1^8*T2^8 + 988*T1^9*T2^8 - 
     1454*T1^10*T2^8 + 133*T1^11*T2^8 + 94*T1^12*T2^8 - 117*T1^3*T2^9 + 
     133*T1^4*T2^9 + 1066*T1^5*T2^9 - 2276*T1^6*T2^9 + 988*T1^7*T2^9 + 
     988*T1^8*T2^9 - 2276*T1^9*T2^9 + 1066*T1^10*T2^9 + 133*T1^11*T2^9 - 
     117*T1^12*T2^9 + 94*T1^4*T2^10 - 307*T1^5*T2^10 - 46*T1^6*T2^10 + 
     1066*T1^7*T2^10 - 1454*T1^8*T2^10 + 1066*T1^9*T2^10 - 46*T1^10*T2^10 - 
     307*T1^11*T2^10 + 94*T1^12*T2^10 - 41*T1^5*T2^11 + 198*T1^6*T2^11 - 
     307*T1^7*T2^11 + 133*T1^8*T2^11 + 133*T1^9*T2^11 - 307*T1^10*T2^11 + 
     198*T1^11*T2^11 - 41*T1^12*T2^11 + 7*T1^6*T2^12 - 41*T1^7*T2^12 + 
     94*T1^8*T2^12 - 117*T1^9*T2^12 + 94*T1^10*T2^12 - 41*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 10] -> 
  {(3 - 19*T + 49*T^2 - 65*T^3 + 49*T^4 - 19*T^5 + 3*T^6)/T^3, 
   (30 - 188*T1 + 482*T1^2 - 636*T1^3 + 482*T1^4 - 188*T1^5 + 30*T1^6 - 
     188*T2 + 992*T1*T2 - 1849*T1^2*T2 + 971*T1^3*T2 + 971*T1^4*T2 - 
     1849*T1^5*T2 + 992*T1^6*T2 - 188*T1^7*T2 + 482*T2^2 - 1849*T1*T2^2 + 
     865*T1^2*T2^2 + 5673*T1^3*T2^2 - 9535*T1^4*T2^2 + 5673*T1^5*T2^2 + 
     865*T1^6*T2^2 - 1849*T1^7*T2^2 + 482*T1^8*T2^2 - 636*T2^3 + 
     971*T1*T2^3 + 5673*T1^2*T2^3 - 16776*T1^3*T2^3 + 9465*T1^4*T2^3 + 
     9465*T1^5*T2^3 - 16776*T1^6*T2^3 + 5673*T1^7*T2^3 + 971*T1^8*T2^3 - 
     636*T1^9*T2^3 + 482*T2^4 + 971*T1*T2^4 - 9535*T1^2*T2^4 + 
     9465*T1^3*T2^4 + 22807*T1^4*T2^4 - 42751*T1^5*T2^4 + 22807*T1^6*T2^4 + 
     9465*T1^7*T2^4 - 9535*T1^8*T2^4 + 971*T1^9*T2^4 + 482*T1^10*T2^4 - 
     188*T2^5 - 1849*T1*T2^5 + 5673*T1^2*T2^5 + 9465*T1^3*T2^5 - 
     42751*T1^4*T2^5 + 25300*T1^5*T2^5 + 25300*T1^6*T2^5 - 42751*T1^7*T2^5 + 
     9465*T1^8*T2^5 + 5673*T1^9*T2^5 - 1849*T1^10*T2^5 - 188*T1^11*T2^5 + 
     30*T2^6 + 992*T1*T2^6 + 865*T1^2*T2^6 - 16776*T1^3*T2^6 + 
     22807*T1^4*T2^6 + 25300*T1^5*T2^6 - 56424*T1^6*T2^6 + 25300*T1^7*T2^6 + 
     22807*T1^8*T2^6 - 16776*T1^9*T2^6 + 865*T1^10*T2^6 + 992*T1^11*T2^6 + 
     30*T1^12*T2^6 - 188*T1*T2^7 - 1849*T1^2*T2^7 + 5673*T1^3*T2^7 + 
     9465*T1^4*T2^7 - 42751*T1^5*T2^7 + 25300*T1^6*T2^7 + 25300*T1^7*T2^7 - 
     42751*T1^8*T2^7 + 9465*T1^9*T2^7 + 5673*T1^10*T2^7 - 1849*T1^11*T2^7 - 
     188*T1^12*T2^7 + 482*T1^2*T2^8 + 971*T1^3*T2^8 - 9535*T1^4*T2^8 + 
     9465*T1^5*T2^8 + 22807*T1^6*T2^8 - 42751*T1^7*T2^8 + 22807*T1^8*T2^8 + 
     9465*T1^9*T2^8 - 9535*T1^10*T2^8 + 971*T1^11*T2^8 + 482*T1^12*T2^8 - 
     636*T1^3*T2^9 + 971*T1^4*T2^9 + 5673*T1^5*T2^9 - 16776*T1^6*T2^9 + 
     9465*T1^7*T2^9 + 9465*T1^8*T2^9 - 16776*T1^9*T2^9 + 5673*T1^10*T2^9 + 
     971*T1^11*T2^9 - 636*T1^12*T2^9 + 482*T1^4*T2^10 - 1849*T1^5*T2^10 + 
     865*T1^6*T2^10 + 5673*T1^7*T2^10 - 9535*T1^8*T2^10 + 5673*T1^9*T2^10 + 
     865*T1^10*T2^10 - 1849*T1^11*T2^10 + 482*T1^12*T2^10 - 188*T1^5*T2^11 + 
     992*T1^6*T2^11 - 1849*T1^7*T2^11 + 971*T1^8*T2^11 + 971*T1^9*T2^11 - 
     1849*T1^10*T2^11 + 992*T1^11*T2^11 - 188*T1^12*T2^11 + 30*T1^6*T2^12 - 
     188*T1^7*T2^12 + 482*T1^8*T2^12 - 636*T1^9*T2^12 + 482*T1^10*T2^12 - 
     188*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 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 + 84*T1*T2 - 196*T1^2*T2 + 182*T1^3*T2 - 70*T1^4*T2 - 
      70*T1^5*T2 + 182*T1^6*T2 - 196*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
      42*T2^2 - 196*T1*T2^2 + 236*T1^2*T2^2 + 350*T1^3*T2^2 - 845*T1^4*T2^2 + 
      1008*T1^5*T2^2 - 845*T1^6*T2^2 + 350*T1^7*T2^2 + 236*T1^8*T2^2 - 
      196*T1^9*T2^2 + 42*T1^10*T2^2 - 68*T2^3 + 182*T1*T2^3 + 350*T1^2*T2^3 - 
      1936*T1^3*T2^3 + 1754*T1^4*T2^3 - 637*T1^5*T2^3 - 637*T1^6*T2^3 + 
      1754*T1^7*T2^3 - 1936*T1^8*T2^3 + 350*T1^9*T2^3 + 182*T1^10*T2^3 - 
      68*T1^11*T2^3 + 78*T2^4 - 70*T1*T2^4 - 845*T1^2*T2^4 + 1754*T1^3*T2^4 + 
      2037*T1^4*T2^4 - 4896*T1^5*T2^4 + 5749*T1^6*T2^4 - 4896*T1^7*T2^4 + 
      2037*T1^8*T2^4 + 1754*T1^9*T2^4 - 845*T1^10*T2^4 - 70*T1^11*T2^4 + 
      78*T1^12*T2^4 - 68*T2^5 - 70*T1*T2^5 + 1008*T1^2*T2^5 - 637*T1^3*T2^5 - 
      4896*T1^4*T2^5 + 4430*T1^5*T2^5 - 1559*T1^6*T2^5 - 1559*T1^7*T2^5 + 
      4430*T1^8*T2^5 - 4896*T1^9*T2^5 - 637*T1^10*T2^5 + 1008*T1^11*T2^5 - 
      70*T1^12*T2^5 - 68*T1^13*T2^5 + 42*T2^6 + 182*T1*T2^6 - 845*T1^2*T2^6 - 
      637*T1^3*T2^6 + 5749*T1^4*T2^6 - 1559*T1^5*T2^6 - 1145*T1^6*T2^6 + 
      1841*T1^7*T2^6 - 1145*T1^8*T2^6 - 1559*T1^9*T2^6 + 5749*T1^10*T2^6 - 
      637*T1^11*T2^6 - 845*T1^12*T2^6 + 182*T1^13*T2^6 + 42*T1^14*T2^6 - 
      14*T2^7 - 196*T1*T2^7 + 350*T1^2*T2^7 + 1754*T1^3*T2^7 - 
      4896*T1^4*T2^7 - 1559*T1^5*T2^7 + 1841*T1^6*T2^7 - 674*T1^7*T2^7 - 
      674*T1^8*T2^7 + 1841*T1^9*T2^7 - 1559*T1^10*T2^7 - 4896*T1^11*T2^7 + 
      1754*T1^12*T2^7 + 350*T1^13*T2^7 - 196*T1^14*T2^7 - 14*T1^15*T2^7 + 
      2*T2^8 + 84*T1*T2^8 + 236*T1^2*T2^8 - 1936*T1^3*T2^8 + 2037*T1^4*T2^8 + 
      4430*T1^5*T2^8 - 1145*T1^6*T2^8 - 674*T1^7*T2^8 + 1224*T1^8*T2^8 - 
      674*T1^9*T2^8 - 1145*T1^10*T2^8 + 4430*T1^11*T2^8 + 2037*T1^12*T2^8 - 
      1936*T1^13*T2^8 + 236*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 
      14*T1*T2^9 - 196*T1^2*T2^9 + 350*T1^3*T2^9 + 1754*T1^4*T2^9 - 
      4896*T1^5*T2^9 - 1559*T1^6*T2^9 + 1841*T1^7*T2^9 - 674*T1^8*T2^9 - 
      674*T1^9*T2^9 + 1841*T1^10*T2^9 - 1559*T1^11*T2^9 - 4896*T1^12*T2^9 + 
      1754*T1^13*T2^9 + 350*T1^14*T2^9 - 196*T1^15*T2^9 - 14*T1^16*T2^9 + 
      42*T1^2*T2^10 + 182*T1^3*T2^10 - 845*T1^4*T2^10 - 637*T1^5*T2^10 + 
      5749*T1^6*T2^10 - 1559*T1^7*T2^10 - 1145*T1^8*T2^10 + 1841*T1^9*T2^10 - 
      1145*T1^10*T2^10 - 1559*T1^11*T2^10 + 5749*T1^12*T2^10 - 
      637*T1^13*T2^10 - 845*T1^14*T2^10 + 182*T1^15*T2^10 + 42*T1^16*T2^10 - 
      68*T1^3*T2^11 - 70*T1^4*T2^11 + 1008*T1^5*T2^11 - 637*T1^6*T2^11 - 
      4896*T1^7*T2^11 + 4430*T1^8*T2^11 - 1559*T1^9*T2^11 - 
      1559*T1^10*T2^11 + 4430*T1^11*T2^11 - 4896*T1^12*T2^11 - 
      637*T1^13*T2^11 + 1008*T1^14*T2^11 - 70*T1^15*T2^11 - 68*T1^16*T2^11 + 
      78*T1^4*T2^12 - 70*T1^5*T2^12 - 845*T1^6*T2^12 + 1754*T1^7*T2^12 + 
      2037*T1^8*T2^12 - 4896*T1^9*T2^12 + 5749*T1^10*T2^12 - 
      4896*T1^11*T2^12 + 2037*T1^12*T2^12 + 1754*T1^13*T2^12 - 
      845*T1^14*T2^12 - 70*T1^15*T2^12 + 78*T1^16*T2^12 - 68*T1^5*T2^13 + 
      182*T1^6*T2^13 + 350*T1^7*T2^13 - 1936*T1^8*T2^13 + 1754*T1^9*T2^13 - 
      637*T1^10*T2^13 - 637*T1^11*T2^13 + 1754*T1^12*T2^13 - 
      1936*T1^13*T2^13 + 350*T1^14*T2^13 + 182*T1^15*T2^13 - 68*T1^16*T2^13 + 
      42*T1^6*T2^14 - 196*T1^7*T2^14 + 236*T1^8*T2^14 + 350*T1^9*T2^14 - 
      845*T1^10*T2^14 + 1008*T1^11*T2^14 - 845*T1^12*T2^14 + 
      350*T1^13*T2^14 + 236*T1^14*T2^14 - 196*T1^15*T2^14 + 42*T1^16*T2^14 - 
      14*T1^7*T2^15 + 84*T1^8*T2^15 - 196*T1^9*T2^15 + 182*T1^10*T2^15 - 
      70*T1^11*T2^15 - 70*T1^12*T2^15 + 182*T1^13*T2^15 - 196*T1^14*T2^15 + 
      84*T1^15*T2^15 - 14*T1^16*T2^15 + 2*T1^8*T2^16 - 14*T1^9*T2^16 + 
      42*T1^10*T2^16 - 68*T1^11*T2^16 + 78*T1^12*T2^16 - 68*T1^13*T2^16 + 
      42*T1^14*T2^16 - 14*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 12] -> 
  {(2 - 14*T + 40*T^2 - 55*T^3 + 40*T^4 - 14*T^5 + 2*T^6)/T^3, 
   -((9 - 63*T1 + 180*T1^2 - 247*T1^3 + 180*T1^4 - 63*T1^5 + 9*T1^6 - 63*T2 + 
      378*T1*T2 - 819*T1^2*T2 + 469*T1^3*T2 + 469*T1^4*T2 - 819*T1^5*T2 + 
      378*T1^6*T2 - 63*T1^7*T2 + 180*T2^2 - 819*T1*T2^2 + 685*T1^2*T2^2 + 
      2677*T1^3*T2^2 - 4993*T1^4*T2^2 + 2677*T1^5*T2^2 + 685*T1^6*T2^2 - 
      819*T1^7*T2^2 + 180*T1^8*T2^2 - 247*T2^3 + 469*T1*T2^3 + 
      2677*T1^2*T2^3 - 10094*T1^3*T2^3 + 6330*T1^4*T2^3 + 6330*T1^5*T2^3 - 
      10094*T1^6*T2^3 + 2677*T1^7*T2^3 + 469*T1^8*T2^3 - 247*T1^9*T2^3 + 
      180*T2^4 + 469*T1*T2^4 - 4993*T1^2*T2^4 + 6330*T1^3*T2^4 + 
      16848*T1^4*T2^4 - 33388*T1^5*T2^4 + 16848*T1^6*T2^4 + 6330*T1^7*T2^4 - 
      4993*T1^8*T2^4 + 469*T1^9*T2^4 + 180*T1^10*T2^4 - 63*T2^5 - 
      819*T1*T2^5 + 2677*T1^2*T2^5 + 6330*T1^3*T2^5 - 33388*T1^4*T2^5 + 
      21654*T1^5*T2^5 + 21654*T1^6*T2^5 - 33388*T1^7*T2^5 + 6330*T1^8*T2^5 + 
      2677*T1^9*T2^5 - 819*T1^10*T2^5 - 63*T1^11*T2^5 + 9*T2^6 + 
      378*T1*T2^6 + 685*T1^2*T2^6 - 10094*T1^3*T2^6 + 16848*T1^4*T2^6 + 
      21654*T1^5*T2^6 - 50400*T1^6*T2^6 + 21654*T1^7*T2^6 + 16848*T1^8*T2^6 - 
      10094*T1^9*T2^6 + 685*T1^10*T2^6 + 378*T1^11*T2^6 + 9*T1^12*T2^6 - 
      63*T1*T2^7 - 819*T1^2*T2^7 + 2677*T1^3*T2^7 + 6330*T1^4*T2^7 - 
      33388*T1^5*T2^7 + 21654*T1^6*T2^7 + 21654*T1^7*T2^7 - 33388*T1^8*T2^7 + 
      6330*T1^9*T2^7 + 2677*T1^10*T2^7 - 819*T1^11*T2^7 - 63*T1^12*T2^7 + 
      180*T1^2*T2^8 + 469*T1^3*T2^8 - 4993*T1^4*T2^8 + 6330*T1^5*T2^8 + 
      16848*T1^6*T2^8 - 33388*T1^7*T2^8 + 16848*T1^8*T2^8 + 6330*T1^9*T2^8 - 
      4993*T1^10*T2^8 + 469*T1^11*T2^8 + 180*T1^12*T2^8 - 247*T1^3*T2^9 + 
      469*T1^4*T2^9 + 2677*T1^5*T2^9 - 10094*T1^6*T2^9 + 6330*T1^7*T2^9 + 
      6330*T1^8*T2^9 - 10094*T1^9*T2^9 + 2677*T1^10*T2^9 + 469*T1^11*T2^9 - 
      247*T1^12*T2^9 + 180*T1^4*T2^10 - 819*T1^5*T2^10 + 685*T1^6*T2^10 + 
      2677*T1^7*T2^10 - 4993*T1^8*T2^10 + 2677*T1^9*T2^10 + 685*T1^10*T2^10 - 
      819*T1^11*T2^10 + 180*T1^12*T2^10 - 63*T1^5*T2^11 + 378*T1^6*T2^11 - 
      819*T1^7*T2^11 + 469*T1^8*T2^11 + 469*T1^9*T2^11 - 819*T1^10*T2^11 + 
      378*T1^11*T2^11 - 63*T1^12*T2^11 + 9*T1^6*T2^12 - 63*T1^7*T2^12 + 
      180*T1^8*T2^12 - 247*T1^9*T2^12 + 180*T1^10*T2^12 - 63*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   -((T1 + T1^2 + T1^4 + T1^5 + T2 - 6*T1*T2 - 14*T1^2*T2 - 5*T1^3*T2 - 
      5*T1^4*T2 - 14*T1^5*T2 - 6*T1^6*T2 + T1^7*T2 + T2^2 - 14*T1*T2^2 + 
      115*T1^2*T2^2 - 11*T1^3*T2^2 + 89*T1^4*T2^2 - 11*T1^5*T2^2 + 
      115*T1^6*T2^2 - 14*T1^7*T2^2 + T1^8*T2^2 - 5*T1*T2^3 - 11*T1^2*T2^3 - 
      478*T1^3*T2^3 + 25*T1^4*T2^3 + 25*T1^5*T2^3 - 478*T1^6*T2^3 - 
      11*T1^7*T2^3 - 5*T1^8*T2^3 + T2^4 - 5*T1*T2^4 + 89*T1^2*T2^4 + 
      25*T1^3*T2^4 + 1943*T1^4*T2^4 - 1923*T1^5*T2^4 + 1943*T1^6*T2^4 + 
      25*T1^7*T2^4 + 89*T1^8*T2^4 - 5*T1^9*T2^4 + T1^10*T2^4 + T2^5 - 
      14*T1*T2^5 - 11*T1^2*T2^5 + 25*T1^3*T2^5 - 1923*T1^4*T2^5 + 
      138*T1^5*T2^5 + 138*T1^6*T2^5 - 1923*T1^7*T2^5 + 25*T1^8*T2^5 - 
      11*T1^9*T2^5 - 14*T1^10*T2^5 + T1^11*T2^5 - 6*T1*T2^6 + 115*T1^2*T2^6 - 
      478*T1^3*T2^6 + 1943*T1^4*T2^6 + 138*T1^5*T2^6 + 768*T1^6*T2^6 + 
      138*T1^7*T2^6 + 1943*T1^8*T2^6 - 478*T1^9*T2^6 + 115*T1^10*T2^6 - 
      6*T1^11*T2^6 + T1*T2^7 - 14*T1^2*T2^7 - 11*T1^3*T2^7 + 25*T1^4*T2^7 - 
      1923*T1^5*T2^7 + 138*T1^6*T2^7 + 138*T1^7*T2^7 - 1923*T1^8*T2^7 + 
      25*T1^9*T2^7 - 11*T1^10*T2^7 - 14*T1^11*T2^7 + T1^12*T2^7 + T1^2*T2^8 - 
      5*T1^3*T2^8 + 89*T1^4*T2^8 + 25*T1^5*T2^8 + 1943*T1^6*T2^8 - 
      1923*T1^7*T2^8 + 1943*T1^8*T2^8 + 25*T1^9*T2^8 + 89*T1^10*T2^8 - 
      5*T1^11*T2^8 + T1^12*T2^8 - 5*T1^4*T2^9 - 11*T1^5*T2^9 - 
      478*T1^6*T2^9 + 25*T1^7*T2^9 + 25*T1^8*T2^9 - 478*T1^9*T2^9 - 
      11*T1^10*T2^9 - 5*T1^11*T2^9 + T1^4*T2^10 - 14*T1^5*T2^10 + 
      115*T1^6*T2^10 - 11*T1^7*T2^10 + 89*T1^8*T2^10 - 11*T1^9*T2^10 + 
      115*T1^10*T2^10 - 14*T1^11*T2^10 + T1^12*T2^10 + T1^5*T2^11 - 
      6*T1^6*T2^11 - 14*T1^7*T2^11 - 5*T1^8*T2^11 - 5*T1^9*T2^11 - 
      14*T1^10*T2^11 - 6*T1^11*T2^11 + T1^12*T2^11 + T1^7*T2^12 + 
      T1^8*T2^12 + T1^10*T2^12 + T1^11*T2^12)/(T1^6*T2^6))}, 
 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), (1 - 8*T1 + 28*T1^2 - 55*T1^3 + 67*T1^4 - 55*T1^5 + 28*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 160*T1^2*T2 + 216*T1^3*T2 - 
     96*T1^4*T2 - 96*T1^5*T2 + 216*T1^6*T2 - 160*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 28*T2^2 - 160*T1*T2^2 + 298*T1^2*T2^2 + 43*T1^3*T2^2 - 
     901*T1^4*T2^2 + 1262*T1^5*T2^2 - 901*T1^6*T2^2 + 43*T1^7*T2^2 + 
     298*T1^8*T2^2 - 160*T1^9*T2^2 + 28*T1^10*T2^2 - 55*T2^3 + 216*T1*T2^3 + 
     43*T1^2*T2^3 - 1600*T1^3*T2^3 + 2976*T1^4*T2^3 - 1293*T1^5*T2^3 - 
     1293*T1^6*T2^3 + 2976*T1^7*T2^3 - 1600*T1^8*T2^3 + 43*T1^9*T2^3 + 
     216*T1^10*T2^3 - 55*T1^11*T2^3 + 67*T2^4 - 96*T1*T2^4 - 901*T1^2*T2^4 + 
     2976*T1^3*T2^4 - 1281*T1^4*T2^4 - 6101*T1^5*T2^4 + 8833*T1^6*T2^4 - 
     6101*T1^7*T2^4 - 1281*T1^8*T2^4 + 2976*T1^9*T2^4 - 901*T1^10*T2^4 - 
     96*T1^11*T2^4 + 67*T1^12*T2^4 - 55*T2^5 - 96*T1*T2^5 + 1262*T1^2*T2^5 - 
     1293*T1^3*T2^5 - 6101*T1^4*T2^5 + 14530*T1^5*T2^5 - 6120*T1^6*T2^5 - 
     6120*T1^7*T2^5 + 14530*T1^8*T2^5 - 6101*T1^9*T2^5 - 1293*T1^10*T2^5 + 
     1262*T1^11*T2^5 - 96*T1^12*T2^5 - 55*T1^13*T2^5 + 28*T2^6 + 
     216*T1*T2^6 - 901*T1^2*T2^6 - 1293*T1^3*T2^6 + 8833*T1^4*T2^6 - 
     6120*T1^5*T2^6 - 17020*T1^6*T2^6 + 25076*T1^7*T2^6 - 17020*T1^8*T2^6 - 
     6120*T1^9*T2^6 + 8833*T1^10*T2^6 - 1293*T1^11*T2^6 - 901*T1^12*T2^6 + 
     216*T1^13*T2^6 + 28*T1^14*T2^6 - 8*T2^7 - 160*T1*T2^7 + 43*T1^2*T2^7 + 
     2976*T1^3*T2^7 - 6101*T1^4*T2^7 - 6120*T1^5*T2^7 + 25076*T1^6*T2^7 - 
     10598*T1^7*T2^7 - 10598*T1^8*T2^7 + 25076*T1^9*T2^7 - 6120*T1^10*T2^7 - 
     6101*T1^11*T2^7 + 2976*T1^12*T2^7 + 43*T1^13*T2^7 - 160*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 298*T1^2*T2^8 - 1600*T1^3*T2^8 - 
     1281*T1^4*T2^8 + 14530*T1^5*T2^8 - 17020*T1^6*T2^8 - 10598*T1^7*T2^8 + 
     19908*T1^8*T2^8 - 10598*T1^9*T2^8 - 17020*T1^10*T2^8 + 
     14530*T1^11*T2^8 - 1281*T1^12*T2^8 - 1600*T1^13*T2^8 + 298*T1^14*T2^8 + 
     56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 160*T1^2*T2^9 + 43*T1^3*T2^9 + 
     2976*T1^4*T2^9 - 6101*T1^5*T2^9 - 6120*T1^6*T2^9 + 25076*T1^7*T2^9 - 
     10598*T1^8*T2^9 - 10598*T1^9*T2^9 + 25076*T1^10*T2^9 - 6120*T1^11*T2^9 - 
     6101*T1^12*T2^9 + 2976*T1^13*T2^9 + 43*T1^14*T2^9 - 160*T1^15*T2^9 - 
     8*T1^16*T2^9 + 28*T1^2*T2^10 + 216*T1^3*T2^10 - 901*T1^4*T2^10 - 
     1293*T1^5*T2^10 + 8833*T1^6*T2^10 - 6120*T1^7*T2^10 - 17020*T1^8*T2^10 + 
     25076*T1^9*T2^10 - 17020*T1^10*T2^10 - 6120*T1^11*T2^10 + 
     8833*T1^12*T2^10 - 1293*T1^13*T2^10 - 901*T1^14*T2^10 + 
     216*T1^15*T2^10 + 28*T1^16*T2^10 - 55*T1^3*T2^11 - 96*T1^4*T2^11 + 
     1262*T1^5*T2^11 - 1293*T1^6*T2^11 - 6101*T1^7*T2^11 + 14530*T1^8*T2^11 - 
     6120*T1^9*T2^11 - 6120*T1^10*T2^11 + 14530*T1^11*T2^11 - 
     6101*T1^12*T2^11 - 1293*T1^13*T2^11 + 1262*T1^14*T2^11 - 
     96*T1^15*T2^11 - 55*T1^16*T2^11 + 67*T1^4*T2^12 - 96*T1^5*T2^12 - 
     901*T1^6*T2^12 + 2976*T1^7*T2^12 - 1281*T1^8*T2^12 - 6101*T1^9*T2^12 + 
     8833*T1^10*T2^12 - 6101*T1^11*T2^12 - 1281*T1^12*T2^12 + 
     2976*T1^13*T2^12 - 901*T1^14*T2^12 - 96*T1^15*T2^12 + 67*T1^16*T2^12 - 
     55*T1^5*T2^13 + 216*T1^6*T2^13 + 43*T1^7*T2^13 - 1600*T1^8*T2^13 + 
     2976*T1^9*T2^13 - 1293*T1^10*T2^13 - 1293*T1^11*T2^13 + 
     2976*T1^12*T2^13 - 1600*T1^13*T2^13 + 43*T1^14*T2^13 + 216*T1^15*T2^13 - 
     55*T1^16*T2^13 + 28*T1^6*T2^14 - 160*T1^7*T2^14 + 298*T1^8*T2^14 + 
     43*T1^9*T2^14 - 901*T1^10*T2^14 + 1262*T1^11*T2^14 - 901*T1^12*T2^14 + 
     43*T1^13*T2^14 + 298*T1^14*T2^14 - 160*T1^15*T2^14 + 28*T1^16*T2^14 - 
     8*T1^7*T2^15 + 56*T1^8*T2^15 - 160*T1^9*T2^15 + 216*T1^10*T2^15 - 
     96*T1^11*T2^15 - 96*T1^12*T2^15 + 216*T1^13*T2^15 - 160*T1^14*T2^15 + 
     56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 8*T1^9*T2^16 + 
     28*T1^10*T2^16 - 55*T1^11*T2^16 + 67*T1^12*T2^16 - 55*T1^13*T2^16 + 
     28*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 
   -((T1 + 2*T1^2 - 2*T1^3 + 2*T1^4 + T1^5 + T2 - 8*T1*T2 - 12*T1^2*T2 - 
      5*T1^3*T2 - 5*T1^4*T2 - 12*T1^5*T2 - 8*T1^6*T2 + T1^7*T2 + 2*T2^2 - 
      12*T1*T2^2 + 113*T1^2*T2^2 - 11*T1^3*T2^2 + 87*T1^4*T2^2 - 
      11*T1^5*T2^2 + 113*T1^6*T2^2 - 12*T1^7*T2^2 + 2*T1^8*T2^2 - 2*T2^3 - 
      5*T1*T2^3 - 11*T1^2*T2^3 - 478*T1^3*T2^3 + 27*T1^4*T2^3 + 
      27*T1^5*T2^3 - 478*T1^6*T2^3 - 11*T1^7*T2^3 - 5*T1^8*T2^3 - 
      2*T1^9*T2^3 + 2*T2^4 - 5*T1*T2^4 + 87*T1^2*T2^4 + 27*T1^3*T2^4 + 
      1943*T1^4*T2^4 - 1925*T1^5*T2^4 + 1943*T1^6*T2^4 + 27*T1^7*T2^4 + 
      87*T1^8*T2^4 - 5*T1^9*T2^4 + 2*T1^10*T2^4 + T2^5 - 12*T1*T2^5 - 
      11*T1^2*T2^5 + 27*T1^3*T2^5 - 1925*T1^4*T2^5 + 136*T1^5*T2^5 + 
      136*T1^6*T2^5 - 1925*T1^7*T2^5 + 27*T1^8*T2^5 - 11*T1^9*T2^5 - 
      12*T1^10*T2^5 + T1^11*T2^5 - 8*T1*T2^6 + 113*T1^2*T2^6 - 
      478*T1^3*T2^6 + 1943*T1^4*T2^6 + 136*T1^5*T2^6 + 780*T1^6*T2^6 + 
      136*T1^7*T2^6 + 1943*T1^8*T2^6 - 478*T1^9*T2^6 + 113*T1^10*T2^6 - 
      8*T1^11*T2^6 + T1*T2^7 - 12*T1^2*T2^7 - 11*T1^3*T2^7 + 27*T1^4*T2^7 - 
      1925*T1^5*T2^7 + 136*T1^6*T2^7 + 136*T1^7*T2^7 - 1925*T1^8*T2^7 + 
      27*T1^9*T2^7 - 11*T1^10*T2^7 - 12*T1^11*T2^7 + T1^12*T2^7 + 
      2*T1^2*T2^8 - 5*T1^3*T2^8 + 87*T1^4*T2^8 + 27*T1^5*T2^8 + 
      1943*T1^6*T2^8 - 1925*T1^7*T2^8 + 1943*T1^8*T2^8 + 27*T1^9*T2^8 + 
      87*T1^10*T2^8 - 5*T1^11*T2^8 + 2*T1^12*T2^8 - 2*T1^3*T2^9 - 
      5*T1^4*T2^9 - 11*T1^5*T2^9 - 478*T1^6*T2^9 + 27*T1^7*T2^9 + 
      27*T1^8*T2^9 - 478*T1^9*T2^9 - 11*T1^10*T2^9 - 5*T1^11*T2^9 - 
      2*T1^12*T2^9 + 2*T1^4*T2^10 - 12*T1^5*T2^10 + 113*T1^6*T2^10 - 
      11*T1^7*T2^10 + 87*T1^8*T2^10 - 11*T1^9*T2^10 + 113*T1^10*T2^10 - 
      12*T1^11*T2^10 + 2*T1^12*T2^10 + T1^5*T2^11 - 8*T1^6*T2^11 - 
      12*T1^7*T2^11 - 5*T1^8*T2^11 - 5*T1^9*T2^11 - 12*T1^10*T2^11 - 
      8*T1^11*T2^11 + T1^12*T2^11 + T1^7*T2^12 + 2*T1^8*T2^12 - 
      2*T1^9*T2^12 + 2*T1^10*T2^12 + T1^11*T2^12)/(T1^6*T2^6))}, 
 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, 
   -((1 - 4*T1 + 5*T1^2 - 3*T1^3 + 5*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 8*T1*T2 + 
      10*T1^2*T2 - 18*T1^3*T2 - 18*T1^4*T2 + 10*T1^5*T2 + 8*T1^6*T2 - 
      4*T1^7*T2 + 5*T2^2 + 10*T1*T2^2 - 49*T1^2*T2^2 - 50*T1^3*T2^2 + 
      191*T1^4*T2^2 - 50*T1^5*T2^2 - 49*T1^6*T2^2 + 10*T1^7*T2^2 + 
      5*T1^8*T2^2 - 3*T2^3 - 18*T1*T2^3 - 50*T1^2*T2^3 + 370*T1^3*T2^3 - 
      309*T1^4*T2^3 - 309*T1^5*T2^3 + 370*T1^6*T2^3 - 50*T1^7*T2^3 - 
      18*T1^8*T2^3 - 3*T1^9*T2^3 + 5*T2^4 - 18*T1*T2^4 + 191*T1^2*T2^4 - 
      309*T1^3*T2^4 - 520*T1^4*T2^4 + 1256*T1^5*T2^4 - 520*T1^6*T2^4 - 
      309*T1^7*T2^4 + 191*T1^8*T2^4 - 18*T1^9*T2^4 + 5*T1^10*T2^4 - 4*T2^5 + 
      10*T1*T2^5 - 50*T1^2*T2^5 - 309*T1^3*T2^5 + 1256*T1^4*T2^5 - 
      822*T1^5*T2^5 - 822*T1^6*T2^5 + 1256*T1^7*T2^5 - 309*T1^8*T2^5 - 
      50*T1^9*T2^5 + 10*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 8*T1*T2^6 - 
      49*T1^2*T2^6 + 370*T1^3*T2^6 - 520*T1^4*T2^6 - 822*T1^5*T2^6 + 
      1800*T1^6*T2^6 - 822*T1^7*T2^6 - 520*T1^8*T2^6 + 370*T1^9*T2^6 - 
      49*T1^10*T2^6 + 8*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 + 10*T1^2*T2^7 - 
      50*T1^3*T2^7 - 309*T1^4*T2^7 + 1256*T1^5*T2^7 - 822*T1^6*T2^7 - 
      822*T1^7*T2^7 + 1256*T1^8*T2^7 - 309*T1^9*T2^7 - 50*T1^10*T2^7 + 
      10*T1^11*T2^7 - 4*T1^12*T2^7 + 5*T1^2*T2^8 - 18*T1^3*T2^8 + 
      191*T1^4*T2^8 - 309*T1^5*T2^8 - 520*T1^6*T2^8 + 1256*T1^7*T2^8 - 
      520*T1^8*T2^8 - 309*T1^9*T2^8 + 191*T1^10*T2^8 - 18*T1^11*T2^8 + 
      5*T1^12*T2^8 - 3*T1^3*T2^9 - 18*T1^4*T2^9 - 50*T1^5*T2^9 + 
      370*T1^6*T2^9 - 309*T1^7*T2^9 - 309*T1^8*T2^9 + 370*T1^9*T2^9 - 
      50*T1^10*T2^9 - 18*T1^11*T2^9 - 3*T1^12*T2^9 + 5*T1^4*T2^10 + 
      10*T1^5*T2^10 - 49*T1^6*T2^10 - 50*T1^7*T2^10 + 191*T1^8*T2^10 - 
      50*T1^9*T2^10 - 49*T1^10*T2^10 + 10*T1^11*T2^10 + 5*T1^12*T2^10 - 
      4*T1^5*T2^11 + 8*T1^6*T2^11 + 10*T1^7*T2^11 - 18*T1^8*T2^11 - 
      18*T1^9*T2^11 + 10*T1^10*T2^11 + 8*T1^11*T2^11 - 4*T1^12*T2^11 + 
      T1^6*T2^12 - 4*T1^7*T2^12 + 5*T1^8*T2^12 - 3*T1^9*T2^12 + 
      5*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 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), -((1 - 7*T1 + 24*T1^2 - 49*T1^3 + 61*T1^4 - 49*T1^5 + 24*T1^6 - 
      7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 119*T1^2*T2 + 175*T1^3*T2 - 
      84*T1^4*T2 - 84*T1^5*T2 + 175*T1^6*T2 - 119*T1^7*T2 + 42*T1^8*T2 - 
      7*T1^9*T2 + 24*T2^2 - 119*T1*T2^2 + 256*T1^2*T2^2 - 160*T1^3*T2^2 - 
      384*T1^4*T2^2 + 672*T1^5*T2^2 - 384*T1^6*T2^2 - 160*T1^7*T2^2 + 
      256*T1^8*T2^2 - 119*T1^9*T2^2 + 24*T1^10*T2^2 - 49*T2^3 + 175*T1*T2^3 - 
      160*T1^2*T2^3 - 548*T1^3*T2^3 + 1636*T1^4*T2^3 - 855*T1^5*T2^3 - 
      855*T1^6*T2^3 + 1636*T1^7*T2^3 - 548*T1^8*T2^3 - 160*T1^9*T2^3 + 
      175*T1^10*T2^3 - 49*T1^11*T2^3 + 61*T2^4 - 84*T1*T2^4 - 384*T1^2*T2^4 + 
      1636*T1^3*T2^4 - 1658*T1^4*T2^4 - 2543*T1^5*T2^4 + 4766*T1^6*T2^4 - 
      2543*T1^7*T2^4 - 1658*T1^8*T2^4 + 1636*T1^9*T2^4 - 384*T1^10*T2^4 - 
      84*T1^11*T2^4 + 61*T1^12*T2^4 - 49*T2^5 - 84*T1*T2^5 + 672*T1^2*T2^5 - 
      855*T1^3*T2^5 - 2543*T1^4*T2^5 + 8760*T1^5*T2^5 - 4608*T1^6*T2^5 - 
      4608*T1^7*T2^5 + 8760*T1^8*T2^5 - 2543*T1^9*T2^5 - 855*T1^10*T2^5 + 
      672*T1^11*T2^5 - 84*T1^12*T2^5 - 49*T1^13*T2^5 + 24*T2^6 + 
      175*T1*T2^6 - 384*T1^2*T2^6 - 855*T1^3*T2^6 + 4766*T1^4*T2^6 - 
      4608*T1^5*T2^6 - 10782*T1^6*T2^6 + 18944*T1^7*T2^6 - 10782*T1^8*T2^6 - 
      4608*T1^9*T2^6 + 4766*T1^10*T2^6 - 855*T1^11*T2^6 - 384*T1^12*T2^6 + 
      175*T1^13*T2^6 + 24*T1^14*T2^6 - 7*T2^7 - 119*T1*T2^7 - 160*T1^2*T2^7 + 
      1636*T1^3*T2^7 - 2543*T1^4*T2^7 - 4608*T1^5*T2^7 + 18944*T1^6*T2^7 - 
      10182*T1^7*T2^7 - 10182*T1^8*T2^7 + 18944*T1^9*T2^7 - 4608*T1^10*T2^7 - 
      2543*T1^11*T2^7 + 1636*T1^12*T2^7 - 160*T1^13*T2^7 - 119*T1^14*T2^7 - 
      7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 256*T1^2*T2^8 - 548*T1^3*T2^8 - 
      1658*T1^4*T2^8 + 8760*T1^5*T2^8 - 10782*T1^6*T2^8 - 10182*T1^7*T2^8 + 
      21696*T1^8*T2^8 - 10182*T1^9*T2^8 - 10782*T1^10*T2^8 + 
      8760*T1^11*T2^8 - 1658*T1^12*T2^8 - 548*T1^13*T2^8 + 256*T1^14*T2^8 + 
      42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 119*T1^2*T2^9 - 
      160*T1^3*T2^9 + 1636*T1^4*T2^9 - 2543*T1^5*T2^9 - 4608*T1^6*T2^9 + 
      18944*T1^7*T2^9 - 10182*T1^8*T2^9 - 10182*T1^9*T2^9 + 
      18944*T1^10*T2^9 - 4608*T1^11*T2^9 - 2543*T1^12*T2^9 + 
      1636*T1^13*T2^9 - 160*T1^14*T2^9 - 119*T1^15*T2^9 - 7*T1^16*T2^9 + 
      24*T1^2*T2^10 + 175*T1^3*T2^10 - 384*T1^4*T2^10 - 855*T1^5*T2^10 + 
      4766*T1^6*T2^10 - 4608*T1^7*T2^10 - 10782*T1^8*T2^10 + 
      18944*T1^9*T2^10 - 10782*T1^10*T2^10 - 4608*T1^11*T2^10 + 
      4766*T1^12*T2^10 - 855*T1^13*T2^10 - 384*T1^14*T2^10 + 
      175*T1^15*T2^10 + 24*T1^16*T2^10 - 49*T1^3*T2^11 - 84*T1^4*T2^11 + 
      672*T1^5*T2^11 - 855*T1^6*T2^11 - 2543*T1^7*T2^11 + 8760*T1^8*T2^11 - 
      4608*T1^9*T2^11 - 4608*T1^10*T2^11 + 8760*T1^11*T2^11 - 
      2543*T1^12*T2^11 - 855*T1^13*T2^11 + 672*T1^14*T2^11 - 84*T1^15*T2^11 - 
      49*T1^16*T2^11 + 61*T1^4*T2^12 - 84*T1^5*T2^12 - 384*T1^6*T2^12 + 
      1636*T1^7*T2^12 - 1658*T1^8*T2^12 - 2543*T1^9*T2^12 + 
      4766*T1^10*T2^12 - 2543*T1^11*T2^12 - 1658*T1^12*T2^12 + 
      1636*T1^13*T2^12 - 384*T1^14*T2^12 - 84*T1^15*T2^12 + 61*T1^16*T2^12 - 
      49*T1^5*T2^13 + 175*T1^6*T2^13 - 160*T1^7*T2^13 - 548*T1^8*T2^13 + 
      1636*T1^9*T2^13 - 855*T1^10*T2^13 - 855*T1^11*T2^13 + 
      1636*T1^12*T2^13 - 548*T1^13*T2^13 - 160*T1^14*T2^13 + 
      175*T1^15*T2^13 - 49*T1^16*T2^13 + 24*T1^6*T2^14 - 119*T1^7*T2^14 + 
      256*T1^8*T2^14 - 160*T1^9*T2^14 - 384*T1^10*T2^14 + 672*T1^11*T2^14 - 
      384*T1^12*T2^14 - 160*T1^13*T2^14 + 256*T1^14*T2^14 - 119*T1^15*T2^14 + 
      24*T1^16*T2^14 - 7*T1^7*T2^15 + 42*T1^8*T2^15 - 119*T1^9*T2^15 + 
      175*T1^10*T2^15 - 84*T1^11*T2^15 - 84*T1^12*T2^15 + 175*T1^13*T2^15 - 
      119*T1^14*T2^15 + 42*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 
      7*T1^9*T2^16 + 24*T1^10*T2^16 - 49*T1^11*T2^16 + 61*T1^12*T2^16 - 
      49*T1^13*T2^16 + 24*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, 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), -((1 - 7*T1 + 20*T1^2 - 31*T1^3 + 33*T1^4 - 31*T1^5 + 20*T1^6 - 
      7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 91*T1^2*T2 + 77*T1^3*T2 - 
      14*T1^4*T2 - 14*T1^5*T2 + 77*T1^6*T2 - 91*T1^7*T2 + 42*T1^8*T2 - 
      7*T1^9*T2 + 20*T2^2 - 91*T1*T2^2 + 78*T1^2*T2^2 + 216*T1^3*T2^2 - 
      458*T1^4*T2^2 + 386*T1^5*T2^2 - 458*T1^6*T2^2 + 216*T1^7*T2^2 + 
      78*T1^8*T2^2 - 91*T1^9*T2^2 + 20*T1^10*T2^2 - 31*T2^3 + 77*T1*T2^3 + 
      216*T1^2*T2^3 - 882*T1^3*T2^3 + 767*T1^4*T2^3 - 3*T1^5*T2^3 - 
      3*T1^6*T2^3 + 767*T1^7*T2^3 - 882*T1^8*T2^3 + 216*T1^9*T2^3 + 
      77*T1^10*T2^3 - 31*T1^11*T2^3 + 33*T2^4 - 14*T1*T2^4 - 458*T1^2*T2^4 + 
      767*T1^3*T2^4 + 720*T1^4*T2^4 - 2106*T1^5*T2^4 + 1482*T1^6*T2^4 - 
      2106*T1^7*T2^4 + 720*T1^8*T2^4 + 767*T1^9*T2^4 - 458*T1^10*T2^4 - 
      14*T1^11*T2^4 + 33*T1^12*T2^4 - 31*T2^5 - 14*T1*T2^5 + 386*T1^2*T2^5 - 
      3*T1^3*T2^5 - 2106*T1^4*T2^5 + 2300*T1^5*T2^5 - 55*T1^6*T2^5 - 
      55*T1^7*T2^5 + 2300*T1^8*T2^5 - 2106*T1^9*T2^5 - 3*T1^10*T2^5 + 
      386*T1^11*T2^5 - 14*T1^12*T2^5 - 31*T1^13*T2^5 + 20*T2^6 + 77*T1*T2^6 - 
      458*T1^2*T2^6 - 3*T1^3*T2^6 + 1482*T1^4*T2^6 - 55*T1^5*T2^6 - 
      2875*T1^6*T2^6 + 2599*T1^7*T2^6 - 2875*T1^8*T2^6 - 55*T1^9*T2^6 + 
      1482*T1^10*T2^6 - 3*T1^11*T2^6 - 458*T1^12*T2^6 + 77*T1^13*T2^6 + 
      20*T1^14*T2^6 - 7*T2^7 - 91*T1*T2^7 + 216*T1^2*T2^7 + 767*T1^3*T2^7 - 
      2106*T1^4*T2^7 - 55*T1^5*T2^7 + 2599*T1^6*T2^7 - 894*T1^7*T2^7 - 
      894*T1^8*T2^7 + 2599*T1^9*T2^7 - 55*T1^10*T2^7 - 2106*T1^11*T2^7 + 
      767*T1^12*T2^7 + 216*T1^13*T2^7 - 91*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 
      42*T1*T2^8 + 78*T1^2*T2^8 - 882*T1^3*T2^8 + 720*T1^4*T2^8 + 
      2300*T1^5*T2^8 - 2875*T1^6*T2^8 - 894*T1^7*T2^8 + 2280*T1^8*T2^8 - 
      894*T1^9*T2^8 - 2875*T1^10*T2^8 + 2300*T1^11*T2^8 + 720*T1^12*T2^8 - 
      882*T1^13*T2^8 + 78*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 
      7*T1*T2^9 - 91*T1^2*T2^9 + 216*T1^3*T2^9 + 767*T1^4*T2^9 - 
      2106*T1^5*T2^9 - 55*T1^6*T2^9 + 2599*T1^7*T2^9 - 894*T1^8*T2^9 - 
      894*T1^9*T2^9 + 2599*T1^10*T2^9 - 55*T1^11*T2^9 - 2106*T1^12*T2^9 + 
      767*T1^13*T2^9 + 216*T1^14*T2^9 - 91*T1^15*T2^9 - 7*T1^16*T2^9 + 
      20*T1^2*T2^10 + 77*T1^3*T2^10 - 458*T1^4*T2^10 - 3*T1^5*T2^10 + 
      1482*T1^6*T2^10 - 55*T1^7*T2^10 - 2875*T1^8*T2^10 + 2599*T1^9*T2^10 - 
      2875*T1^10*T2^10 - 55*T1^11*T2^10 + 1482*T1^12*T2^10 - 3*T1^13*T2^10 - 
      458*T1^14*T2^10 + 77*T1^15*T2^10 + 20*T1^16*T2^10 - 31*T1^3*T2^11 - 
      14*T1^4*T2^11 + 386*T1^5*T2^11 - 3*T1^6*T2^11 - 2106*T1^7*T2^11 + 
      2300*T1^8*T2^11 - 55*T1^9*T2^11 - 55*T1^10*T2^11 + 2300*T1^11*T2^11 - 
      2106*T1^12*T2^11 - 3*T1^13*T2^11 + 386*T1^14*T2^11 - 14*T1^15*T2^11 - 
      31*T1^16*T2^11 + 33*T1^4*T2^12 - 14*T1^5*T2^12 - 458*T1^6*T2^12 + 
      767*T1^7*T2^12 + 720*T1^8*T2^12 - 2106*T1^9*T2^12 + 1482*T1^10*T2^12 - 
      2106*T1^11*T2^12 + 720*T1^12*T2^12 + 767*T1^13*T2^12 - 
      458*T1^14*T2^12 - 14*T1^15*T2^12 + 33*T1^16*T2^12 - 31*T1^5*T2^13 + 
      77*T1^6*T2^13 + 216*T1^7*T2^13 - 882*T1^8*T2^13 + 767*T1^9*T2^13 - 
      3*T1^10*T2^13 - 3*T1^11*T2^13 + 767*T1^12*T2^13 - 882*T1^13*T2^13 + 
      216*T1^14*T2^13 + 77*T1^15*T2^13 - 31*T1^16*T2^13 + 20*T1^6*T2^14 - 
      91*T1^7*T2^14 + 78*T1^8*T2^14 + 216*T1^9*T2^14 - 458*T1^10*T2^14 + 
      386*T1^11*T2^14 - 458*T1^12*T2^14 + 216*T1^13*T2^14 + 78*T1^14*T2^14 - 
      91*T1^15*T2^14 + 20*T1^16*T2^14 - 7*T1^7*T2^15 + 42*T1^8*T2^15 - 
      91*T1^9*T2^15 + 77*T1^10*T2^15 - 14*T1^11*T2^15 - 14*T1^12*T2^15 + 
      77*T1^13*T2^15 - 91*T1^14*T2^15 + 42*T1^15*T2^15 - 7*T1^16*T2^15 + 
      T1^8*T2^16 - 7*T1^9*T2^16 + 20*T1^10*T2^16 - 31*T1^11*T2^16 + 
      33*T1^12*T2^16 - 31*T1^13*T2^16 + 20*T1^14*T2^16 - 7*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, 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), (1 - 7*T1 + 22*T1^2 - 41*T1^3 + 49*T1^4 - 41*T1^5 + 22*T1^6 - 
     7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 105*T1^2*T2 + 133*T1^3*T2 - 
     56*T1^4*T2 - 56*T1^5*T2 + 133*T1^6*T2 - 105*T1^7*T2 + 42*T1^8*T2 - 
     7*T1^9*T2 + 22*T2^2 - 105*T1*T2^2 + 162*T1^2*T2^2 + 30*T1^3*T2^2 - 
     474*T1^4*T2^2 + 634*T1^5*T2^2 - 474*T1^6*T2^2 + 30*T1^7*T2^2 + 
     162*T1^8*T2^2 - 105*T1^9*T2^2 + 22*T1^10*T2^2 - 41*T2^3 + 133*T1*T2^3 + 
     30*T1^2*T2^3 - 722*T1^3*T2^3 + 1331*T1^4*T2^3 - 523*T1^5*T2^3 - 
     523*T1^6*T2^3 + 1331*T1^7*T2^3 - 722*T1^8*T2^3 + 30*T1^9*T2^3 + 
     133*T1^10*T2^3 - 41*T1^11*T2^3 + 49*T2^4 - 56*T1*T2^4 - 474*T1^2*T2^4 + 
     1331*T1^3*T2^4 - 807*T1^4*T2^4 - 2182*T1^5*T2^4 + 3033*T1^6*T2^4 - 
     2182*T1^7*T2^4 - 807*T1^8*T2^4 + 1331*T1^9*T2^4 - 474*T1^10*T2^4 - 
     56*T1^11*T2^4 + 49*T1^12*T2^4 - 41*T2^5 - 56*T1*T2^5 + 634*T1^2*T2^5 - 
     523*T1^3*T2^5 - 2182*T1^4*T2^5 + 5716*T1^5*T2^5 - 2190*T1^6*T2^5 - 
     2190*T1^7*T2^5 + 5716*T1^8*T2^5 - 2182*T1^9*T2^5 - 523*T1^10*T2^5 + 
     634*T1^11*T2^5 - 56*T1^12*T2^5 - 41*T1^13*T2^5 + 22*T2^6 + 133*T1*T2^6 - 
     474*T1^2*T2^6 - 523*T1^3*T2^6 + 3033*T1^4*T2^6 - 2190*T1^5*T2^6 - 
     7436*T1^6*T2^6 + 10342*T1^7*T2^6 - 7436*T1^8*T2^6 - 2190*T1^9*T2^6 + 
     3033*T1^10*T2^6 - 523*T1^11*T2^6 - 474*T1^12*T2^6 + 133*T1^13*T2^6 + 
     22*T1^14*T2^6 - 7*T2^7 - 105*T1*T2^7 + 30*T1^2*T2^7 + 1331*T1^3*T2^7 - 
     2182*T1^4*T2^7 - 2190*T1^5*T2^7 + 10342*T1^6*T2^7 - 4208*T1^7*T2^7 - 
     4208*T1^8*T2^7 + 10342*T1^9*T2^7 - 2190*T1^10*T2^7 - 2182*T1^11*T2^7 + 
     1331*T1^12*T2^7 + 30*T1^13*T2^7 - 105*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 
     42*T1*T2^8 + 162*T1^2*T2^8 - 722*T1^3*T2^8 - 807*T1^4*T2^8 + 
     5716*T1^5*T2^8 - 7436*T1^6*T2^8 - 4208*T1^7*T2^8 + 7908*T1^8*T2^8 - 
     4208*T1^9*T2^8 - 7436*T1^10*T2^8 + 5716*T1^11*T2^8 - 807*T1^12*T2^8 - 
     722*T1^13*T2^8 + 162*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 
     7*T1*T2^9 - 105*T1^2*T2^9 + 30*T1^3*T2^9 + 1331*T1^4*T2^9 - 
     2182*T1^5*T2^9 - 2190*T1^6*T2^9 + 10342*T1^7*T2^9 - 4208*T1^8*T2^9 - 
     4208*T1^9*T2^9 + 10342*T1^10*T2^9 - 2190*T1^11*T2^9 - 2182*T1^12*T2^9 + 
     1331*T1^13*T2^9 + 30*T1^14*T2^9 - 105*T1^15*T2^9 - 7*T1^16*T2^9 + 
     22*T1^2*T2^10 + 133*T1^3*T2^10 - 474*T1^4*T2^10 - 523*T1^5*T2^10 + 
     3033*T1^6*T2^10 - 2190*T1^7*T2^10 - 7436*T1^8*T2^10 + 10342*T1^9*T2^10 - 
     7436*T1^10*T2^10 - 2190*T1^11*T2^10 + 3033*T1^12*T2^10 - 
     523*T1^13*T2^10 - 474*T1^14*T2^10 + 133*T1^15*T2^10 + 22*T1^16*T2^10 - 
     41*T1^3*T2^11 - 56*T1^4*T2^11 + 634*T1^5*T2^11 - 523*T1^6*T2^11 - 
     2182*T1^7*T2^11 + 5716*T1^8*T2^11 - 2190*T1^9*T2^11 - 2190*T1^10*T2^11 + 
     5716*T1^11*T2^11 - 2182*T1^12*T2^11 - 523*T1^13*T2^11 + 
     634*T1^14*T2^11 - 56*T1^15*T2^11 - 41*T1^16*T2^11 + 49*T1^4*T2^12 - 
     56*T1^5*T2^12 - 474*T1^6*T2^12 + 1331*T1^7*T2^12 - 807*T1^8*T2^12 - 
     2182*T1^9*T2^12 + 3033*T1^10*T2^12 - 2182*T1^11*T2^12 - 
     807*T1^12*T2^12 + 1331*T1^13*T2^12 - 474*T1^14*T2^12 - 56*T1^15*T2^12 + 
     49*T1^16*T2^12 - 41*T1^5*T2^13 + 133*T1^6*T2^13 + 30*T1^7*T2^13 - 
     722*T1^8*T2^13 + 1331*T1^9*T2^13 - 523*T1^10*T2^13 - 523*T1^11*T2^13 + 
     1331*T1^12*T2^13 - 722*T1^13*T2^13 + 30*T1^14*T2^13 + 133*T1^15*T2^13 - 
     41*T1^16*T2^13 + 22*T1^6*T2^14 - 105*T1^7*T2^14 + 162*T1^8*T2^14 + 
     30*T1^9*T2^14 - 474*T1^10*T2^14 + 634*T1^11*T2^14 - 474*T1^12*T2^14 + 
     30*T1^13*T2^14 + 162*T1^14*T2^14 - 105*T1^15*T2^14 + 22*T1^16*T2^14 - 
     7*T1^7*T2^15 + 42*T1^8*T2^15 - 105*T1^9*T2^15 + 133*T1^10*T2^15 - 
     56*T1^11*T2^15 - 56*T1^12*T2^15 + 133*T1^13*T2^15 - 105*T1^14*T2^15 + 
     42*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 
     22*T1^10*T2^16 - 41*T1^11*T2^16 + 49*T1^12*T2^16 - 41*T1^13*T2^16 + 
     22*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 
   (1 - 4*T1 + 3*T1^2 - 3*T1^3 + 3*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 8*T1*T2 + 
     21*T1^2*T2 - 8*T1^3*T2 - 8*T1^4*T2 + 21*T1^5*T2 + 8*T1^6*T2 - 
     4*T1^7*T2 + 3*T2^2 + 21*T1*T2^2 - 107*T1^2*T2^2 - 65*T1^3*T2^2 + 
     109*T1^4*T2^2 - 65*T1^5*T2^2 - 107*T1^6*T2^2 + 21*T1^7*T2^2 + 
     3*T1^8*T2^2 - 3*T2^3 - 8*T1*T2^3 - 65*T1^2*T2^3 + 656*T1^3*T2^3 - 
     260*T1^4*T2^3 - 260*T1^5*T2^3 + 656*T1^6*T2^3 - 65*T1^7*T2^3 - 
     8*T1^8*T2^3 - 3*T1^9*T2^3 + 3*T2^4 - 8*T1*T2^4 + 109*T1^2*T2^4 - 
     260*T1^3*T2^4 - 1739*T1^4*T2^4 + 2309*T1^5*T2^4 - 1739*T1^6*T2^4 - 
     260*T1^7*T2^4 + 109*T1^8*T2^4 - 8*T1^9*T2^4 + 3*T1^10*T2^4 - 4*T2^5 + 
     21*T1*T2^5 - 65*T1^2*T2^5 - 260*T1^3*T2^5 + 2309*T1^4*T2^5 - 
     794*T1^5*T2^5 - 794*T1^6*T2^5 + 2309*T1^7*T2^5 - 260*T1^8*T2^5 - 
     65*T1^9*T2^5 + 21*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 8*T1*T2^6 - 
     107*T1^2*T2^6 + 656*T1^3*T2^6 - 1739*T1^4*T2^6 - 794*T1^5*T2^6 + 
     1116*T1^6*T2^6 - 794*T1^7*T2^6 - 1739*T1^8*T2^6 + 656*T1^9*T2^6 - 
     107*T1^10*T2^6 + 8*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 + 21*T1^2*T2^7 - 
     65*T1^3*T2^7 - 260*T1^4*T2^7 + 2309*T1^5*T2^7 - 794*T1^6*T2^7 - 
     794*T1^7*T2^7 + 2309*T1^8*T2^7 - 260*T1^9*T2^7 - 65*T1^10*T2^7 + 
     21*T1^11*T2^7 - 4*T1^12*T2^7 + 3*T1^2*T2^8 - 8*T1^3*T2^8 + 
     109*T1^4*T2^8 - 260*T1^5*T2^8 - 1739*T1^6*T2^8 + 2309*T1^7*T2^8 - 
     1739*T1^8*T2^8 - 260*T1^9*T2^8 + 109*T1^10*T2^8 - 8*T1^11*T2^8 + 
     3*T1^12*T2^8 - 3*T1^3*T2^9 - 8*T1^4*T2^9 - 65*T1^5*T2^9 + 
     656*T1^6*T2^9 - 260*T1^7*T2^9 - 260*T1^8*T2^9 + 656*T1^9*T2^9 - 
     65*T1^10*T2^9 - 8*T1^11*T2^9 - 3*T1^12*T2^9 + 3*T1^4*T2^10 + 
     21*T1^5*T2^10 - 107*T1^6*T2^10 - 65*T1^7*T2^10 + 109*T1^8*T2^10 - 
     65*T1^9*T2^10 - 107*T1^10*T2^10 + 21*T1^11*T2^10 + 3*T1^12*T2^10 - 
     4*T1^5*T2^11 + 8*T1^6*T2^11 + 21*T1^7*T2^11 - 8*T1^8*T2^11 - 
     8*T1^9*T2^11 + 21*T1^10*T2^11 + 8*T1^11*T2^11 - 4*T1^12*T2^11 + 
     T1^6*T2^12 - 4*T1^7*T2^12 + 3*T1^8*T2^12 - 3*T1^9*T2^12 + 
     3*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 21] -> 
  {-((4 - 21*T + 45*T^2 - 57*T^3 + 45*T^4 - 21*T^5 + 4*T^6)/T^3), 
   -((144 - 740*T1 + 1552*T1^2 - 1952*T1^3 + 1552*T1^4 - 740*T1^5 + 
      144*T1^6 - 740*T2 + 3078*T1*T2 - 4222*T1^2*T2 + 2086*T1^3*T2 + 
      2086*T1^4*T2 - 4222*T1^5*T2 + 3078*T1^6*T2 - 740*T1^7*T2 + 1552*T2^2 - 
      4222*T1*T2^2 - 1182*T1^2*T2^2 + 12230*T1^3*T2^2 - 18590*T1^4*T2^2 + 
      12230*T1^5*T2^2 - 1182*T1^6*T2^2 - 4222*T1^7*T2^2 + 1552*T1^8*T2^2 - 
      1952*T2^3 + 2086*T1*T2^3 + 12230*T1^2*T2^3 - 21744*T1^3*T2^3 + 
      11935*T1^4*T2^3 + 11935*T1^5*T2^3 - 21744*T1^6*T2^3 + 12230*T1^7*T2^3 + 
      2086*T1^8*T2^3 - 1952*T1^9*T2^3 + 1552*T2^4 + 2086*T1*T2^4 - 
      18590*T1^2*T2^4 + 11935*T1^3*T2^4 + 13743*T1^4*T2^4 - 31427*T1^5*T2^4 + 
      13743*T1^6*T2^4 + 11935*T1^7*T2^4 - 18590*T1^8*T2^4 + 2086*T1^9*T2^4 + 
      1552*T1^10*T2^4 - 740*T2^5 - 4222*T1*T2^5 + 12230*T1^2*T2^5 + 
      11935*T1^3*T2^5 - 31427*T1^4*T2^5 + 19514*T1^5*T2^5 + 19514*T1^6*T2^5 - 
      31427*T1^7*T2^5 + 11935*T1^8*T2^5 + 12230*T1^9*T2^5 - 4222*T1^10*T2^5 - 
      740*T1^11*T2^5 + 144*T2^6 + 3078*T1*T2^6 - 1182*T1^2*T2^6 - 
      21744*T1^3*T2^6 + 13743*T1^4*T2^6 + 19514*T1^5*T2^6 - 43596*T1^6*T2^6 + 
      19514*T1^7*T2^6 + 13743*T1^8*T2^6 - 21744*T1^9*T2^6 - 1182*T1^10*T2^6 + 
      3078*T1^11*T2^6 + 144*T1^12*T2^6 - 740*T1*T2^7 - 4222*T1^2*T2^7 + 
      12230*T1^3*T2^7 + 11935*T1^4*T2^7 - 31427*T1^5*T2^7 + 19514*T1^6*T2^7 + 
      19514*T1^7*T2^7 - 31427*T1^8*T2^7 + 11935*T1^9*T2^7 + 
      12230*T1^10*T2^7 - 4222*T1^11*T2^7 - 740*T1^12*T2^7 + 1552*T1^2*T2^8 + 
      2086*T1^3*T2^8 - 18590*T1^4*T2^8 + 11935*T1^5*T2^8 + 13743*T1^6*T2^8 - 
      31427*T1^7*T2^8 + 13743*T1^8*T2^8 + 11935*T1^9*T2^8 - 
      18590*T1^10*T2^8 + 2086*T1^11*T2^8 + 1552*T1^12*T2^8 - 1952*T1^3*T2^9 + 
      2086*T1^4*T2^9 + 12230*T1^5*T2^9 - 21744*T1^6*T2^9 + 11935*T1^7*T2^9 + 
      11935*T1^8*T2^9 - 21744*T1^9*T2^9 + 12230*T1^10*T2^9 + 
      2086*T1^11*T2^9 - 1952*T1^12*T2^9 + 1552*T1^4*T2^10 - 4222*T1^5*T2^10 - 
      1182*T1^6*T2^10 + 12230*T1^7*T2^10 - 18590*T1^8*T2^10 + 
      12230*T1^9*T2^10 - 1182*T1^10*T2^10 - 4222*T1^11*T2^10 + 
      1552*T1^12*T2^10 - 740*T1^5*T2^11 + 3078*T1^6*T2^11 - 4222*T1^7*T2^11 + 
      2086*T1^8*T2^11 + 2086*T1^9*T2^11 - 4222*T1^10*T2^11 + 
      3078*T1^11*T2^11 - 740*T1^12*T2^11 + 144*T1^6*T2^12 - 740*T1^7*T2^12 + 
      1552*T1^8*T2^12 - 1952*T1^9*T2^12 + 1552*T1^10*T2^12 - 
      740*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 22] -> 
  {-((2 - 13*T + 35*T^2 - 49*T^3 + 35*T^4 - 13*T^5 + 2*T^6)/T^3), 
   (1 - 7*T1 + 20*T1^2 - 29*T1^3 + 20*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
     42*T1*T2 - 91*T1^2*T2 + 63*T1^3*T2 + 63*T1^4*T2 - 91*T1^5*T2 + 
     42*T1^6*T2 - 7*T1^7*T2 + 20*T2^2 - 91*T1*T2^2 + 76*T1^2*T2^2 + 
     269*T1^3*T2^2 - 654*T1^4*T2^2 + 269*T1^5*T2^2 + 76*T1^6*T2^2 - 
     91*T1^7*T2^2 + 20*T1^8*T2^2 - 29*T2^3 + 63*T1*T2^3 + 269*T1^2*T2^3 - 
     1066*T1^3*T2^3 + 1011*T1^4*T2^3 + 1011*T1^5*T2^3 - 1066*T1^6*T2^3 + 
     269*T1^7*T2^3 + 63*T1^8*T2^3 - 29*T1^9*T2^3 + 20*T2^4 + 63*T1*T2^4 - 
     654*T1^2*T2^4 + 1011*T1^3*T2^4 + 1112*T1^4*T2^4 - 4566*T1^5*T2^4 + 
     1112*T1^6*T2^4 + 1011*T1^7*T2^4 - 654*T1^8*T2^4 + 63*T1^9*T2^4 + 
     20*T1^10*T2^4 - 7*T2^5 - 91*T1*T2^5 + 269*T1^2*T2^5 + 1011*T1^3*T2^5 - 
     4566*T1^4*T2^5 + 4768*T1^5*T2^5 + 4768*T1^6*T2^5 - 4566*T1^7*T2^5 + 
     1011*T1^8*T2^5 + 269*T1^9*T2^5 - 91*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
     42*T1*T2^6 + 76*T1^2*T2^6 - 1066*T1^3*T2^6 + 1112*T1^4*T2^6 + 
     4768*T1^5*T2^6 - 13284*T1^6*T2^6 + 4768*T1^7*T2^6 + 1112*T1^8*T2^6 - 
     1066*T1^9*T2^6 + 76*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
     7*T1*T2^7 - 91*T1^2*T2^7 + 269*T1^3*T2^7 + 1011*T1^4*T2^7 - 
     4566*T1^5*T2^7 + 4768*T1^6*T2^7 + 4768*T1^7*T2^7 - 4566*T1^8*T2^7 + 
     1011*T1^9*T2^7 + 269*T1^10*T2^7 - 91*T1^11*T2^7 - 7*T1^12*T2^7 + 
     20*T1^2*T2^8 + 63*T1^3*T2^8 - 654*T1^4*T2^8 + 1011*T1^5*T2^8 + 
     1112*T1^6*T2^8 - 4566*T1^7*T2^8 + 1112*T1^8*T2^8 + 1011*T1^9*T2^8 - 
     654*T1^10*T2^8 + 63*T1^11*T2^8 + 20*T1^12*T2^8 - 29*T1^3*T2^9 + 
     63*T1^4*T2^9 + 269*T1^5*T2^9 - 1066*T1^6*T2^9 + 1011*T1^7*T2^9 + 
     1011*T1^8*T2^9 - 1066*T1^9*T2^9 + 269*T1^10*T2^9 + 63*T1^11*T2^9 - 
     29*T1^12*T2^9 + 20*T1^4*T2^10 - 91*T1^5*T2^10 + 76*T1^6*T2^10 + 
     269*T1^7*T2^10 - 654*T1^8*T2^10 + 269*T1^9*T2^10 + 76*T1^10*T2^10 - 
     91*T1^11*T2^10 + 20*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
     91*T1^7*T2^11 + 63*T1^8*T2^11 + 63*T1^9*T2^11 - 91*T1^10*T2^11 + 
     42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
     20*T1^8*T2^12 - 29*T1^9*T2^12 + 20*T1^10*T2^12 - 7*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 23] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^3), 
   -((1 - 7*T1 + 20*T1^2 - 29*T1^3 + 20*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 91*T1^2*T2 + 63*T1^3*T2 + 63*T1^4*T2 - 91*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 20*T2^2 - 91*T1*T2^2 + 91*T1^2*T2^2 + 
      171*T1^3*T2^2 - 455*T1^4*T2^2 + 171*T1^5*T2^2 + 91*T1^6*T2^2 - 
      91*T1^7*T2^2 + 20*T1^8*T2^2 - 29*T2^3 + 63*T1*T2^3 + 171*T1^2*T2^3 - 
      572*T1^3*T2^3 + 458*T1^4*T2^3 + 458*T1^5*T2^3 - 572*T1^6*T2^3 + 
      171*T1^7*T2^3 + 63*T1^8*T2^3 - 29*T1^9*T2^3 + 20*T2^4 + 63*T1*T2^4 - 
      455*T1^2*T2^4 + 458*T1^3*T2^4 + 11*T1^4*T2^4 - 405*T1^5*T2^4 + 
      11*T1^6*T2^4 + 458*T1^7*T2^4 - 455*T1^8*T2^4 + 63*T1^9*T2^4 + 
      20*T1^10*T2^4 - 7*T2^5 - 91*T1*T2^5 + 171*T1^2*T2^5 + 458*T1^3*T2^5 - 
      405*T1^4*T2^5 - 98*T1^5*T2^5 - 98*T1^6*T2^5 - 405*T1^7*T2^5 + 
      458*T1^8*T2^5 + 171*T1^9*T2^5 - 91*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 + 91*T1^2*T2^6 - 572*T1^3*T2^6 + 11*T1^4*T2^6 - 
      98*T1^5*T2^6 + 1116*T1^6*T2^6 - 98*T1^7*T2^6 + 11*T1^8*T2^6 - 
      572*T1^9*T2^6 + 91*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 91*T1^2*T2^7 + 171*T1^3*T2^7 + 458*T1^4*T2^7 - 
      405*T1^5*T2^7 - 98*T1^6*T2^7 - 98*T1^7*T2^7 - 405*T1^8*T2^7 + 
      458*T1^9*T2^7 + 171*T1^10*T2^7 - 91*T1^11*T2^7 - 7*T1^12*T2^7 + 
      20*T1^2*T2^8 + 63*T1^3*T2^8 - 455*T1^4*T2^8 + 458*T1^5*T2^8 + 
      11*T1^6*T2^8 - 405*T1^7*T2^8 + 11*T1^8*T2^8 + 458*T1^9*T2^8 - 
      455*T1^10*T2^8 + 63*T1^11*T2^8 + 20*T1^12*T2^8 - 29*T1^3*T2^9 + 
      63*T1^4*T2^9 + 171*T1^5*T2^9 - 572*T1^6*T2^9 + 458*T1^7*T2^9 + 
      458*T1^8*T2^9 - 572*T1^9*T2^9 + 171*T1^10*T2^9 + 63*T1^11*T2^9 - 
      29*T1^12*T2^9 + 20*T1^4*T2^10 - 91*T1^5*T2^10 + 91*T1^6*T2^10 + 
      171*T1^7*T2^10 - 455*T1^8*T2^10 + 171*T1^9*T2^10 + 91*T1^10*T2^10 - 
      91*T1^11*T2^10 + 20*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      91*T1^7*T2^11 + 63*T1^8*T2^11 + 63*T1^9*T2^11 - 91*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      20*T1^8*T2^12 - 29*T1^9*T2^12 + 20*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   (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 + 84*T1*T2 - 182*T1^2*T2 + 182*T1^3*T2 - 84*T1^4*T2 - 
     84*T1^5*T2 + 182*T1^6*T2 - 182*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
     40*T2^2 - 182*T1*T2^2 + 159*T1^2*T2^2 + 340*T1^3*T2^2 - 845*T1^4*T2^2 + 
     1147*T1^5*T2^2 - 845*T1^6*T2^2 + 340*T1^7*T2^2 + 159*T1^8*T2^2 - 
     182*T1^9*T2^2 + 40*T1^10*T2^2 - 66*T2^3 + 182*T1*T2^3 + 340*T1^2*T2^3 - 
     1478*T1^3*T2^3 + 1522*T1^4*T2^3 - 810*T1^5*T2^3 - 810*T1^6*T2^3 + 
     1522*T1^7*T2^3 - 1478*T1^8*T2^3 + 340*T1^9*T2^3 + 182*T1^10*T2^3 - 
     66*T1^11*T2^3 + 78*T2^4 - 84*T1*T2^4 - 845*T1^2*T2^4 + 1522*T1^3*T2^4 + 
     508*T1^4*T2^4 - 2372*T1^5*T2^4 + 3930*T1^6*T2^4 - 2372*T1^7*T2^4 + 
     508*T1^8*T2^4 + 1522*T1^9*T2^4 - 845*T1^10*T2^4 - 84*T1^11*T2^4 + 
     78*T1^12*T2^4 - 66*T2^5 - 84*T1*T2^5 + 1147*T1^2*T2^5 - 810*T1^3*T2^5 - 
     2372*T1^4*T2^5 + 2638*T1^5*T2^5 - 1902*T1^6*T2^5 - 1902*T1^7*T2^5 + 
     2638*T1^8*T2^5 - 2372*T1^9*T2^5 - 810*T1^10*T2^5 + 1147*T1^11*T2^5 - 
     84*T1^12*T2^5 - 66*T1^13*T2^5 + 40*T2^6 + 182*T1*T2^6 - 845*T1^2*T2^6 - 
     810*T1^3*T2^6 + 3930*T1^4*T2^6 - 1902*T1^5*T2^6 + 467*T1^6*T2^6 + 
     2235*T1^7*T2^6 + 467*T1^8*T2^6 - 1902*T1^9*T2^6 + 3930*T1^10*T2^6 - 
     810*T1^11*T2^6 - 845*T1^12*T2^6 + 182*T1^13*T2^6 + 40*T1^14*T2^6 - 
     14*T2^7 - 182*T1*T2^7 + 340*T1^2*T2^7 + 1522*T1^3*T2^7 - 
     2372*T1^4*T2^7 - 1902*T1^5*T2^7 + 2235*T1^6*T2^7 - 2362*T1^7*T2^7 - 
     2362*T1^8*T2^7 + 2235*T1^9*T2^7 - 1902*T1^10*T2^7 - 2372*T1^11*T2^7 + 
     1522*T1^12*T2^7 + 340*T1^13*T2^7 - 182*T1^14*T2^7 - 14*T1^15*T2^7 + 
     2*T2^8 + 84*T1*T2^8 + 159*T1^2*T2^8 - 1478*T1^3*T2^8 + 508*T1^4*T2^8 + 
     2638*T1^5*T2^8 + 467*T1^6*T2^8 - 2362*T1^7*T2^8 + 5844*T1^8*T2^8 - 
     2362*T1^9*T2^8 + 467*T1^10*T2^8 + 2638*T1^11*T2^8 + 508*T1^12*T2^8 - 
     1478*T1^13*T2^8 + 159*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 
     14*T1*T2^9 - 182*T1^2*T2^9 + 340*T1^3*T2^9 + 1522*T1^4*T2^9 - 
     2372*T1^5*T2^9 - 1902*T1^6*T2^9 + 2235*T1^7*T2^9 - 2362*T1^8*T2^9 - 
     2362*T1^9*T2^9 + 2235*T1^10*T2^9 - 1902*T1^11*T2^9 - 2372*T1^12*T2^9 + 
     1522*T1^13*T2^9 + 340*T1^14*T2^9 - 182*T1^15*T2^9 - 14*T1^16*T2^9 + 
     40*T1^2*T2^10 + 182*T1^3*T2^10 - 845*T1^4*T2^10 - 810*T1^5*T2^10 + 
     3930*T1^6*T2^10 - 1902*T1^7*T2^10 + 467*T1^8*T2^10 + 2235*T1^9*T2^10 + 
     467*T1^10*T2^10 - 1902*T1^11*T2^10 + 3930*T1^12*T2^10 - 
     810*T1^13*T2^10 - 845*T1^14*T2^10 + 182*T1^15*T2^10 + 40*T1^16*T2^10 - 
     66*T1^3*T2^11 - 84*T1^4*T2^11 + 1147*T1^5*T2^11 - 810*T1^6*T2^11 - 
     2372*T1^7*T2^11 + 2638*T1^8*T2^11 - 1902*T1^9*T2^11 - 1902*T1^10*T2^11 + 
     2638*T1^11*T2^11 - 2372*T1^12*T2^11 - 810*T1^13*T2^11 + 
     1147*T1^14*T2^11 - 84*T1^15*T2^11 - 66*T1^16*T2^11 + 78*T1^4*T2^12 - 
     84*T1^5*T2^12 - 845*T1^6*T2^12 + 1522*T1^7*T2^12 + 508*T1^8*T2^12 - 
     2372*T1^9*T2^12 + 3930*T1^10*T2^12 - 2372*T1^11*T2^12 + 
     508*T1^12*T2^12 + 1522*T1^13*T2^12 - 845*T1^14*T2^12 - 84*T1^15*T2^12 + 
     78*T1^16*T2^12 - 66*T1^5*T2^13 + 182*T1^6*T2^13 + 340*T1^7*T2^13 - 
     1478*T1^8*T2^13 + 1522*T1^9*T2^13 - 810*T1^10*T2^13 - 810*T1^11*T2^13 + 
     1522*T1^12*T2^13 - 1478*T1^13*T2^13 + 340*T1^14*T2^13 + 
     182*T1^15*T2^13 - 66*T1^16*T2^13 + 40*T1^6*T2^14 - 182*T1^7*T2^14 + 
     159*T1^8*T2^14 + 340*T1^9*T2^14 - 845*T1^10*T2^14 + 1147*T1^11*T2^14 - 
     845*T1^12*T2^14 + 340*T1^13*T2^14 + 159*T1^14*T2^14 - 182*T1^15*T2^14 + 
     40*T1^16*T2^14 - 14*T1^7*T2^15 + 84*T1^8*T2^15 - 182*T1^9*T2^15 + 
     182*T1^10*T2^15 - 84*T1^11*T2^15 - 84*T1^12*T2^15 + 182*T1^13*T2^15 - 
     182*T1^14*T2^15 + 84*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)/
    (T1^8*T2^8)}, Knot[12, Alternating, 25] -> 
  {-(((1 - 3*T + T^2)*(2 - 9*T + 15*T^2 - 9*T^3 + 2*T^4))/T^3), 
   -((1 - 7*T1 + 20*T1^2 - 29*T1^3 + 20*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 91*T1^2*T2 + 63*T1^3*T2 + 63*T1^4*T2 - 91*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 20*T2^2 - 91*T1*T2^2 + 91*T1^2*T2^2 + 
      188*T1^3*T2^2 - 495*T1^4*T2^2 + 188*T1^5*T2^2 + 91*T1^6*T2^2 - 
      91*T1^7*T2^2 + 20*T1^8*T2^2 - 29*T2^3 + 63*T1*T2^3 + 188*T1^2*T2^3 - 
      708*T1^3*T2^3 + 604*T1^4*T2^3 + 604*T1^5*T2^3 - 708*T1^6*T2^3 + 
      188*T1^7*T2^3 + 63*T1^8*T2^3 - 29*T1^9*T2^3 + 20*T2^4 + 63*T1*T2^4 - 
      495*T1^2*T2^4 + 604*T1^3*T2^4 + 433*T1^4*T2^4 - 1667*T1^5*T2^4 + 
      433*T1^6*T2^4 + 604*T1^7*T2^4 - 495*T1^8*T2^4 + 63*T1^9*T2^4 + 
      20*T1^10*T2^4 - 7*T2^5 - 91*T1*T2^5 + 188*T1^2*T2^5 + 604*T1^3*T2^5 - 
      1667*T1^4*T2^5 + 1218*T1^5*T2^5 + 1218*T1^6*T2^5 - 1667*T1^7*T2^5 + 
      604*T1^8*T2^5 + 188*T1^9*T2^5 - 91*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 + 91*T1^2*T2^6 - 708*T1^3*T2^6 + 433*T1^4*T2^6 + 
      1218*T1^5*T2^6 - 2640*T1^6*T2^6 + 1218*T1^7*T2^6 + 433*T1^8*T2^6 - 
      708*T1^9*T2^6 + 91*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 91*T1^2*T2^7 + 188*T1^3*T2^7 + 604*T1^4*T2^7 - 
      1667*T1^5*T2^7 + 1218*T1^6*T2^7 + 1218*T1^7*T2^7 - 1667*T1^8*T2^7 + 
      604*T1^9*T2^7 + 188*T1^10*T2^7 - 91*T1^11*T2^7 - 7*T1^12*T2^7 + 
      20*T1^2*T2^8 + 63*T1^3*T2^8 - 495*T1^4*T2^8 + 604*T1^5*T2^8 + 
      433*T1^6*T2^8 - 1667*T1^7*T2^8 + 433*T1^8*T2^8 + 604*T1^9*T2^8 - 
      495*T1^10*T2^8 + 63*T1^11*T2^8 + 20*T1^12*T2^8 - 29*T1^3*T2^9 + 
      63*T1^4*T2^9 + 188*T1^5*T2^9 - 708*T1^6*T2^9 + 604*T1^7*T2^9 + 
      604*T1^8*T2^9 - 708*T1^9*T2^9 + 188*T1^10*T2^9 + 63*T1^11*T2^9 - 
      29*T1^12*T2^9 + 20*T1^4*T2^10 - 91*T1^5*T2^10 + 91*T1^6*T2^10 + 
      188*T1^7*T2^10 - 495*T1^8*T2^10 + 188*T1^9*T2^10 + 91*T1^10*T2^10 - 
      91*T1^11*T2^10 + 20*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      91*T1^7*T2^11 + 63*T1^8*T2^11 + 63*T1^9*T2^11 - 91*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      20*T1^8*T2^12 - 29*T1^9*T2^12 + 20*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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 + 84*T1*T2 - 182*T1^2*T2 + 126*T1^3*T2 - 28*T1^4*T2 - 
      28*T1^5*T2 + 126*T1^6*T2 - 182*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
      40*T2^2 - 182*T1*T2^2 + 153*T1^2*T2^2 + 529*T1^3*T2^2 - 823*T1^4*T2^2 + 
      745*T1^5*T2^2 - 823*T1^6*T2^2 + 529*T1^7*T2^2 + 153*T1^8*T2^2 - 
      182*T1^9*T2^2 + 40*T1^10*T2^2 - 58*T2^3 + 126*T1*T2^3 + 529*T1^2*T2^3 - 
      2062*T1^3*T2^3 + 1209*T1^4*T2^3 - 81*T1^5*T2^3 - 81*T1^6*T2^3 + 
      1209*T1^7*T2^3 - 2062*T1^8*T2^3 + 529*T1^9*T2^3 + 126*T1^10*T2^3 - 
      58*T1^11*T2^3 + 62*T2^4 - 28*T1*T2^4 - 823*T1^2*T2^4 + 1209*T1^3*T2^4 + 
      3300*T1^4*T2^4 - 4969*T1^5*T2^4 + 4170*T1^6*T2^4 - 4969*T1^7*T2^4 + 
      3300*T1^8*T2^4 + 1209*T1^9*T2^4 - 823*T1^10*T2^4 - 28*T1^11*T2^4 + 
      62*T1^12*T2^4 - 58*T2^5 - 28*T1*T2^5 + 745*T1^2*T2^5 - 81*T1^3*T2^5 - 
      4969*T1^4*T2^5 + 2642*T1^5*T2^5 + 257*T1^6*T2^5 + 257*T1^7*T2^5 + 
      2642*T1^8*T2^5 - 4969*T1^9*T2^5 - 81*T1^10*T2^5 + 745*T1^11*T2^5 - 
      28*T1^12*T2^5 - 58*T1^13*T2^5 + 40*T2^6 + 126*T1*T2^6 - 823*T1^2*T2^6 - 
      81*T1^3*T2^6 + 4170*T1^4*T2^6 + 257*T1^5*T2^6 - 1221*T1^6*T2^6 - 
      739*T1^7*T2^6 - 1221*T1^8*T2^6 + 257*T1^9*T2^6 + 4170*T1^10*T2^6 - 
      81*T1^11*T2^6 - 823*T1^12*T2^6 + 126*T1^13*T2^6 + 40*T1^14*T2^6 - 
      14*T2^7 - 182*T1*T2^7 + 529*T1^2*T2^7 + 1209*T1^3*T2^7 - 
      4969*T1^4*T2^7 + 257*T1^5*T2^7 - 739*T1^6*T2^7 + 1402*T1^7*T2^7 + 
      1402*T1^8*T2^7 - 739*T1^9*T2^7 + 257*T1^10*T2^7 - 4969*T1^11*T2^7 + 
      1209*T1^12*T2^7 + 529*T1^13*T2^7 - 182*T1^14*T2^7 - 14*T1^15*T2^7 + 
      2*T2^8 + 84*T1*T2^8 + 153*T1^2*T2^8 - 2062*T1^3*T2^8 + 3300*T1^4*T2^8 + 
      2642*T1^5*T2^8 - 1221*T1^6*T2^8 + 1402*T1^7*T2^8 - 3300*T1^8*T2^8 + 
      1402*T1^9*T2^8 - 1221*T1^10*T2^8 + 2642*T1^11*T2^8 + 3300*T1^12*T2^8 - 
      2062*T1^13*T2^8 + 153*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 
      14*T1*T2^9 - 182*T1^2*T2^9 + 529*T1^3*T2^9 + 1209*T1^4*T2^9 - 
      4969*T1^5*T2^9 + 257*T1^6*T2^9 - 739*T1^7*T2^9 + 1402*T1^8*T2^9 + 
      1402*T1^9*T2^9 - 739*T1^10*T2^9 + 257*T1^11*T2^9 - 4969*T1^12*T2^9 + 
      1209*T1^13*T2^9 + 529*T1^14*T2^9 - 182*T1^15*T2^9 - 14*T1^16*T2^9 + 
      40*T1^2*T2^10 + 126*T1^3*T2^10 - 823*T1^4*T2^10 - 81*T1^5*T2^10 + 
      4170*T1^6*T2^10 + 257*T1^7*T2^10 - 1221*T1^8*T2^10 - 739*T1^9*T2^10 - 
      1221*T1^10*T2^10 + 257*T1^11*T2^10 + 4170*T1^12*T2^10 - 
      81*T1^13*T2^10 - 823*T1^14*T2^10 + 126*T1^15*T2^10 + 40*T1^16*T2^10 - 
      58*T1^3*T2^11 - 28*T1^4*T2^11 + 745*T1^5*T2^11 - 81*T1^6*T2^11 - 
      4969*T1^7*T2^11 + 2642*T1^8*T2^11 + 257*T1^9*T2^11 + 257*T1^10*T2^11 + 
      2642*T1^11*T2^11 - 4969*T1^12*T2^11 - 81*T1^13*T2^11 + 
      745*T1^14*T2^11 - 28*T1^15*T2^11 - 58*T1^16*T2^11 + 62*T1^4*T2^12 - 
      28*T1^5*T2^12 - 823*T1^6*T2^12 + 1209*T1^7*T2^12 + 3300*T1^8*T2^12 - 
      4969*T1^9*T2^12 + 4170*T1^10*T2^12 - 4969*T1^11*T2^12 + 
      3300*T1^12*T2^12 + 1209*T1^13*T2^12 - 823*T1^14*T2^12 - 
      28*T1^15*T2^12 + 62*T1^16*T2^12 - 58*T1^5*T2^13 + 126*T1^6*T2^13 + 
      529*T1^7*T2^13 - 2062*T1^8*T2^13 + 1209*T1^9*T2^13 - 81*T1^10*T2^13 - 
      81*T1^11*T2^13 + 1209*T1^12*T2^13 - 2062*T1^13*T2^13 + 
      529*T1^14*T2^13 + 126*T1^15*T2^13 - 58*T1^16*T2^13 + 40*T1^6*T2^14 - 
      182*T1^7*T2^14 + 153*T1^8*T2^14 + 529*T1^9*T2^14 - 823*T1^10*T2^14 + 
      745*T1^11*T2^14 - 823*T1^12*T2^14 + 529*T1^13*T2^14 + 153*T1^14*T2^14 - 
      182*T1^15*T2^14 + 40*T1^16*T2^14 - 14*T1^7*T2^15 + 84*T1^8*T2^15 - 
      182*T1^9*T2^15 + 126*T1^10*T2^15 - 28*T1^11*T2^15 - 28*T1^12*T2^15 + 
      126*T1^13*T2^15 - 182*T1^14*T2^15 + 84*T1^15*T2^15 - 14*T1^16*T2^15 + 
      2*T1^8*T2^16 - 14*T1^9*T2^16 + 40*T1^10*T2^16 - 58*T1^11*T2^16 + 
      62*T1^12*T2^16 - 58*T1^13*T2^16 + 40*T1^14*T2^16 - 14*T1^15*T2^16 + 
      2*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 27] -> 
  {(2 - 15*T + 45*T^2 - 63*T^3 + 45*T^4 - 15*T^5 + 2*T^6)/T^3, 
   -((9 - 67*T1 + 200*T1^2 - 279*T1^3 + 200*T1^4 - 67*T1^5 + 9*T1^6 - 67*T2 + 
      432*T1*T2 - 991*T1^2*T2 + 589*T1^3*T2 + 589*T1^4*T2 - 991*T1^5*T2 + 
      432*T1^6*T2 - 67*T1^7*T2 + 200*T2^2 - 991*T1*T2^2 + 930*T1^2*T2^2 + 
      3435*T1^3*T2^2 - 6646*T1^4*T2^2 + 3435*T1^5*T2^2 + 930*T1^6*T2^2 - 
      991*T1^7*T2^2 + 200*T1^8*T2^2 - 279*T2^3 + 589*T1*T2^3 + 
      3435*T1^2*T2^3 - 13816*T1^3*T2^3 + 9073*T1^4*T2^3 + 9073*T1^5*T2^3 - 
      13816*T1^6*T2^3 + 3435*T1^7*T2^3 + 589*T1^8*T2^3 - 279*T1^9*T2^3 + 
      200*T2^4 + 589*T1*T2^4 - 6646*T1^2*T2^4 + 9073*T1^3*T2^4 + 
      23922*T1^4*T2^4 - 49178*T1^5*T2^4 + 23922*T1^6*T2^4 + 9073*T1^7*T2^4 - 
      6646*T1^8*T2^4 + 589*T1^9*T2^4 + 200*T1^10*T2^4 - 67*T2^5 - 
      991*T1*T2^5 + 3435*T1^2*T2^5 + 9073*T1^3*T2^5 - 49178*T1^4*T2^5 + 
      33340*T1^5*T2^5 + 33340*T1^6*T2^5 - 49178*T1^7*T2^5 + 9073*T1^8*T2^5 + 
      3435*T1^9*T2^5 - 991*T1^10*T2^5 - 67*T1^11*T2^5 + 9*T2^6 + 
      432*T1*T2^6 + 930*T1^2*T2^6 - 13816*T1^3*T2^6 + 23922*T1^4*T2^6 + 
      33340*T1^5*T2^6 - 79152*T1^6*T2^6 + 33340*T1^7*T2^6 + 23922*T1^8*T2^6 - 
      13816*T1^9*T2^6 + 930*T1^10*T2^6 + 432*T1^11*T2^6 + 9*T1^12*T2^6 - 
      67*T1*T2^7 - 991*T1^2*T2^7 + 3435*T1^3*T2^7 + 9073*T1^4*T2^7 - 
      49178*T1^5*T2^7 + 33340*T1^6*T2^7 + 33340*T1^7*T2^7 - 49178*T1^8*T2^7 + 
      9073*T1^9*T2^7 + 3435*T1^10*T2^7 - 991*T1^11*T2^7 - 67*T1^12*T2^7 + 
      200*T1^2*T2^8 + 589*T1^3*T2^8 - 6646*T1^4*T2^8 + 9073*T1^5*T2^8 + 
      23922*T1^6*T2^8 - 49178*T1^7*T2^8 + 23922*T1^8*T2^8 + 9073*T1^9*T2^8 - 
      6646*T1^10*T2^8 + 589*T1^11*T2^8 + 200*T1^12*T2^8 - 279*T1^3*T2^9 + 
      589*T1^4*T2^9 + 3435*T1^5*T2^9 - 13816*T1^6*T2^9 + 9073*T1^7*T2^9 + 
      9073*T1^8*T2^9 - 13816*T1^9*T2^9 + 3435*T1^10*T2^9 + 589*T1^11*T2^9 - 
      279*T1^12*T2^9 + 200*T1^4*T2^10 - 991*T1^5*T2^10 + 930*T1^6*T2^10 + 
      3435*T1^7*T2^10 - 6646*T1^8*T2^10 + 3435*T1^9*T2^10 + 930*T1^10*T2^10 - 
      991*T1^11*T2^10 + 200*T1^12*T2^10 - 67*T1^5*T2^11 + 432*T1^6*T2^11 - 
      991*T1^7*T2^11 + 589*T1^8*T2^11 + 589*T1^9*T2^11 - 991*T1^10*T2^11 + 
      432*T1^11*T2^11 - 67*T1^12*T2^11 + 9*T1^6*T2^12 - 67*T1^7*T2^12 + 
      200*T1^8*T2^12 - 279*T1^9*T2^12 + 200*T1^10*T2^12 - 67*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, 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)*
     (9 - 40*T1 + 57*T1^2 - 40*T1^3 + 9*T1^4 - 40*T2 + 138*T1*T2 - 
      76*T1^2*T2 - 76*T1^3*T2 + 138*T1^4*T2 - 40*T1^5*T2 + 57*T2^2 - 
      76*T1*T2^2 - 351*T1^2*T2^2 + 591*T1^3*T2^2 - 351*T1^4*T2^2 - 
      76*T1^5*T2^2 + 57*T1^6*T2^2 - 40*T2^3 - 76*T1*T2^3 + 591*T1^2*T2^3 - 
      336*T1^3*T2^3 - 336*T1^4*T2^3 + 591*T1^5*T2^3 - 76*T1^6*T2^3 - 
      40*T1^7*T2^3 + 9*T2^4 + 138*T1*T2^4 - 351*T1^2*T2^4 - 336*T1^3*T2^4 + 
      744*T1^4*T2^4 - 336*T1^5*T2^4 - 351*T1^6*T2^4 + 138*T1^7*T2^4 + 
      9*T1^8*T2^4 - 40*T1*T2^5 - 76*T1^2*T2^5 + 591*T1^3*T2^5 - 
      336*T1^4*T2^5 - 336*T1^5*T2^5 + 591*T1^6*T2^5 - 76*T1^7*T2^5 - 
      40*T1^8*T2^5 + 57*T1^2*T2^6 - 76*T1^3*T2^6 - 351*T1^4*T2^6 + 
      591*T1^5*T2^6 - 351*T1^6*T2^6 - 76*T1^7*T2^6 + 57*T1^8*T2^6 - 
      40*T1^3*T2^7 + 138*T1^4*T2^7 - 76*T1^5*T2^7 - 76*T1^6*T2^7 + 
      138*T1^7*T2^7 - 40*T1^8*T2^7 + 9*T1^4*T2^8 - 40*T1^5*T2^8 + 
      57*T1^6*T2^8 - 40*T1^7*T2^8 + 9*T1^8*T2^8))/(T1^6*T2^6)}, 
 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), 
   (1 - 7*T1 + 24*T1^2 - 48*T1^3 + 59*T1^4 - 48*T1^5 + 24*T1^6 - 7*T1^7 + 
     T1^8 - 7*T2 + 42*T1*T2 - 119*T1^2*T2 + 168*T1^3*T2 - 77*T1^4*T2 - 
     77*T1^5*T2 + 168*T1^6*T2 - 119*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 
     24*T2^2 - 119*T1*T2^2 + 256*T1^2*T2^2 - 137*T1^3*T2^2 - 384*T1^4*T2^2 + 
     622*T1^5*T2^2 - 384*T1^6*T2^2 - 137*T1^7*T2^2 + 256*T1^8*T2^2 - 
     119*T1^9*T2^2 + 24*T1^10*T2^2 - 48*T2^3 + 168*T1*T2^3 - 137*T1^2*T2^3 - 
     630*T1^3*T2^3 + 1609*T1^4*T2^3 - 743*T1^5*T2^3 - 743*T1^6*T2^3 + 
     1609*T1^7*T2^3 - 630*T1^8*T2^3 - 137*T1^9*T2^3 + 168*T1^10*T2^3 - 
     48*T1^11*T2^3 + 59*T2^4 - 77*T1*T2^4 - 384*T1^2*T2^4 + 1609*T1^3*T2^4 - 
     1245*T1^4*T2^4 - 2991*T1^5*T2^4 + 4681*T1^6*T2^4 - 2991*T1^7*T2^4 - 
     1245*T1^8*T2^4 + 1609*T1^9*T2^4 - 384*T1^10*T2^4 - 77*T1^11*T2^4 + 
     59*T1^12*T2^4 - 48*T2^5 - 77*T1*T2^5 + 622*T1^2*T2^5 - 743*T1^3*T2^5 - 
     2991*T1^4*T2^5 + 8646*T1^5*T2^5 - 3805*T1^6*T2^5 - 3805*T1^7*T2^5 + 
     8646*T1^8*T2^5 - 2991*T1^9*T2^5 - 743*T1^10*T2^5 + 622*T1^11*T2^5 - 
     77*T1^12*T2^5 - 48*T1^13*T2^5 + 24*T2^6 + 168*T1*T2^6 - 384*T1^2*T2^6 - 
     743*T1^3*T2^6 + 4681*T1^4*T2^6 - 3805*T1^5*T2^6 - 11132*T1^6*T2^6 + 
     16656*T1^7*T2^6 - 11132*T1^8*T2^6 - 3805*T1^9*T2^6 + 4681*T1^10*T2^6 - 
     743*T1^11*T2^6 - 384*T1^12*T2^6 + 168*T1^13*T2^6 + 24*T1^14*T2^6 - 
     7*T2^7 - 119*T1*T2^7 - 137*T1^2*T2^7 + 1609*T1^3*T2^7 - 2991*T1^4*T2^7 - 
     3805*T1^5*T2^7 + 16656*T1^6*T2^7 - 7196*T1^7*T2^7 - 7196*T1^8*T2^7 + 
     16656*T1^9*T2^7 - 3805*T1^10*T2^7 - 2991*T1^11*T2^7 + 1609*T1^12*T2^7 - 
     137*T1^13*T2^7 - 119*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 
     256*T1^2*T2^8 - 630*T1^3*T2^8 - 1245*T1^4*T2^8 + 8646*T1^5*T2^8 - 
     11132*T1^6*T2^8 - 7196*T1^7*T2^8 + 13560*T1^8*T2^8 - 7196*T1^9*T2^8 - 
     11132*T1^10*T2^8 + 8646*T1^11*T2^8 - 1245*T1^12*T2^8 - 630*T1^13*T2^8 + 
     256*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 
     119*T1^2*T2^9 - 137*T1^3*T2^9 + 1609*T1^4*T2^9 - 2991*T1^5*T2^9 - 
     3805*T1^6*T2^9 + 16656*T1^7*T2^9 - 7196*T1^8*T2^9 - 7196*T1^9*T2^9 + 
     16656*T1^10*T2^9 - 3805*T1^11*T2^9 - 2991*T1^12*T2^9 + 1609*T1^13*T2^9 - 
     137*T1^14*T2^9 - 119*T1^15*T2^9 - 7*T1^16*T2^9 + 24*T1^2*T2^10 + 
     168*T1^3*T2^10 - 384*T1^4*T2^10 - 743*T1^5*T2^10 + 4681*T1^6*T2^10 - 
     3805*T1^7*T2^10 - 11132*T1^8*T2^10 + 16656*T1^9*T2^10 - 
     11132*T1^10*T2^10 - 3805*T1^11*T2^10 + 4681*T1^12*T2^10 - 
     743*T1^13*T2^10 - 384*T1^14*T2^10 + 168*T1^15*T2^10 + 24*T1^16*T2^10 - 
     48*T1^3*T2^11 - 77*T1^4*T2^11 + 622*T1^5*T2^11 - 743*T1^6*T2^11 - 
     2991*T1^7*T2^11 + 8646*T1^8*T2^11 - 3805*T1^9*T2^11 - 3805*T1^10*T2^11 + 
     8646*T1^11*T2^11 - 2991*T1^12*T2^11 - 743*T1^13*T2^11 + 
     622*T1^14*T2^11 - 77*T1^15*T2^11 - 48*T1^16*T2^11 + 59*T1^4*T2^12 - 
     77*T1^5*T2^12 - 384*T1^6*T2^12 + 1609*T1^7*T2^12 - 1245*T1^8*T2^12 - 
     2991*T1^9*T2^12 + 4681*T1^10*T2^12 - 2991*T1^11*T2^12 - 
     1245*T1^12*T2^12 + 1609*T1^13*T2^12 - 384*T1^14*T2^12 - 77*T1^15*T2^12 + 
     59*T1^16*T2^12 - 48*T1^5*T2^13 + 168*T1^6*T2^13 - 137*T1^7*T2^13 - 
     630*T1^8*T2^13 + 1609*T1^9*T2^13 - 743*T1^10*T2^13 - 743*T1^11*T2^13 + 
     1609*T1^12*T2^13 - 630*T1^13*T2^13 - 137*T1^14*T2^13 + 168*T1^15*T2^13 - 
     48*T1^16*T2^13 + 24*T1^6*T2^14 - 119*T1^7*T2^14 + 256*T1^8*T2^14 - 
     137*T1^9*T2^14 - 384*T1^10*T2^14 + 622*T1^11*T2^14 - 384*T1^12*T2^14 - 
     137*T1^13*T2^14 + 256*T1^14*T2^14 - 119*T1^15*T2^14 + 24*T1^16*T2^14 - 
     7*T1^7*T2^15 + 42*T1^8*T2^15 - 119*T1^9*T2^15 + 168*T1^10*T2^15 - 
     77*T1^11*T2^15 - 77*T1^12*T2^15 + 168*T1^13*T2^15 - 119*T1^14*T2^15 + 
     42*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 
     24*T1^10*T2^16 - 48*T1^11*T2^16 + 59*T1^12*T2^16 - 48*T1^13*T2^16 + 
     24*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 30] -> 
  {((1 - T + T^2)^2*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^4, 
   (1 - 5*T1 + 4*T1^2 - 3*T1^3 + 4*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 12*T1*T2 + 
     25*T1^2*T2 - 17*T1^3*T2 - 17*T1^4*T2 + 25*T1^5*T2 + 12*T1^6*T2 - 
     5*T1^7*T2 + 4*T2^2 + 25*T1*T2^2 - 136*T1^2*T2^2 - 60*T1^3*T2^2 + 
     182*T1^4*T2^2 - 60*T1^5*T2^2 - 136*T1^6*T2^2 + 25*T1^7*T2^2 + 
     4*T1^8*T2^2 - 3*T2^3 - 17*T1*T2^3 - 60*T1^2*T2^3 + 768*T1^3*T2^3 - 
     437*T1^4*T2^3 - 437*T1^5*T2^3 + 768*T1^6*T2^3 - 60*T1^7*T2^3 - 
     17*T1^8*T2^3 - 3*T1^9*T2^3 + 4*T2^4 - 17*T1*T2^4 + 182*T1^2*T2^4 - 
     437*T1^3*T2^4 - 1814*T1^4*T2^4 + 3016*T1^5*T2^4 - 1814*T1^6*T2^4 - 
     437*T1^7*T2^4 + 182*T1^8*T2^4 - 17*T1^9*T2^4 + 4*T1^10*T2^4 - 5*T2^5 + 
     25*T1*T2^5 - 60*T1^2*T2^5 - 437*T1^3*T2^5 + 3016*T1^4*T2^5 - 
     1608*T1^5*T2^5 - 1608*T1^6*T2^5 + 3016*T1^7*T2^5 - 437*T1^8*T2^5 - 
     60*T1^9*T2^5 + 25*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 12*T1*T2^6 - 
     136*T1^2*T2^6 + 768*T1^3*T2^6 - 1814*T1^4*T2^6 - 1608*T1^5*T2^6 + 
     3372*T1^6*T2^6 - 1608*T1^7*T2^6 - 1814*T1^8*T2^6 + 768*T1^9*T2^6 - 
     136*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 + 25*T1^2*T2^7 - 
     60*T1^3*T2^7 - 437*T1^4*T2^7 + 3016*T1^5*T2^7 - 1608*T1^6*T2^7 - 
     1608*T1^7*T2^7 + 3016*T1^8*T2^7 - 437*T1^9*T2^7 - 60*T1^10*T2^7 + 
     25*T1^11*T2^7 - 5*T1^12*T2^7 + 4*T1^2*T2^8 - 17*T1^3*T2^8 + 
     182*T1^4*T2^8 - 437*T1^5*T2^8 - 1814*T1^6*T2^8 + 3016*T1^7*T2^8 - 
     1814*T1^8*T2^8 - 437*T1^9*T2^8 + 182*T1^10*T2^8 - 17*T1^11*T2^8 + 
     4*T1^12*T2^8 - 3*T1^3*T2^9 - 17*T1^4*T2^9 - 60*T1^5*T2^9 + 
     768*T1^6*T2^9 - 437*T1^7*T2^9 - 437*T1^8*T2^9 + 768*T1^9*T2^9 - 
     60*T1^10*T2^9 - 17*T1^11*T2^9 - 3*T1^12*T2^9 + 4*T1^4*T2^10 + 
     25*T1^5*T2^10 - 136*T1^6*T2^10 - 60*T1^7*T2^10 + 182*T1^8*T2^10 - 
     60*T1^9*T2^10 - 136*T1^10*T2^10 + 25*T1^11*T2^10 + 4*T1^12*T2^10 - 
     5*T1^5*T2^11 + 12*T1^6*T2^11 + 25*T1^7*T2^11 - 17*T1^8*T2^11 - 
     17*T1^9*T2^11 + 25*T1^10*T2^11 + 12*T1^11*T2^11 - 5*T1^12*T2^11 + 
     T1^6*T2^12 - 5*T1^7*T2^12 + 4*T1^8*T2^12 - 3*T1^9*T2^12 + 
     4*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 31] -> 
  {(2 - 13*T + 33*T^2 - 43*T^3 + 33*T^4 - 13*T^5 + 2*T^6)/T^3, 
   (9 - 59*T1 + 150*T1^2 - 195*T1^3 + 150*T1^4 - 59*T1^5 + 9*T1^6 - 59*T2 + 
     328*T1*T2 - 597*T1^2*T2 + 295*T1^3*T2 + 295*T1^4*T2 - 597*T1^5*T2 + 
     328*T1^6*T2 - 59*T1^7*T2 + 150*T2^2 - 597*T1*T2^2 + 129*T1^2*T2^2 + 
     2156*T1^3*T2^2 - 3309*T1^4*T2^2 + 2156*T1^5*T2^2 + 129*T1^6*T2^2 - 
     597*T1^7*T2^2 + 150*T1^8*T2^2 - 195*T2^3 + 295*T1*T2^3 + 
     2156*T1^2*T2^3 - 5748*T1^3*T2^3 + 2913*T1^4*T2^3 + 2913*T1^5*T2^3 - 
     5748*T1^6*T2^3 + 2156*T1^7*T2^3 + 295*T1^8*T2^3 - 195*T1^9*T2^3 + 
     150*T2^4 + 295*T1*T2^4 - 3309*T1^2*T2^4 + 2913*T1^3*T2^4 + 
     7778*T1^4*T2^4 - 13274*T1^5*T2^4 + 7778*T1^6*T2^4 + 2913*T1^7*T2^4 - 
     3309*T1^8*T2^4 + 295*T1^9*T2^4 + 150*T1^10*T2^4 - 59*T2^5 - 
     597*T1*T2^5 + 2156*T1^2*T2^5 + 2913*T1^3*T2^5 - 13274*T1^4*T2^5 + 
     7110*T1^5*T2^5 + 7110*T1^6*T2^5 - 13274*T1^7*T2^5 + 2913*T1^8*T2^5 + 
     2156*T1^9*T2^5 - 597*T1^10*T2^5 - 59*T1^11*T2^5 + 9*T2^6 + 328*T1*T2^6 + 
     129*T1^2*T2^6 - 5748*T1^3*T2^6 + 7778*T1^4*T2^6 + 7110*T1^5*T2^6 - 
     15264*T1^6*T2^6 + 7110*T1^7*T2^6 + 7778*T1^8*T2^6 - 5748*T1^9*T2^6 + 
     129*T1^10*T2^6 + 328*T1^11*T2^6 + 9*T1^12*T2^6 - 59*T1*T2^7 - 
     597*T1^2*T2^7 + 2156*T1^3*T2^7 + 2913*T1^4*T2^7 - 13274*T1^5*T2^7 + 
     7110*T1^6*T2^7 + 7110*T1^7*T2^7 - 13274*T1^8*T2^7 + 2913*T1^9*T2^7 + 
     2156*T1^10*T2^7 - 597*T1^11*T2^7 - 59*T1^12*T2^7 + 150*T1^2*T2^8 + 
     295*T1^3*T2^8 - 3309*T1^4*T2^8 + 2913*T1^5*T2^8 + 7778*T1^6*T2^8 - 
     13274*T1^7*T2^8 + 7778*T1^8*T2^8 + 2913*T1^9*T2^8 - 3309*T1^10*T2^8 + 
     295*T1^11*T2^8 + 150*T1^12*T2^8 - 195*T1^3*T2^9 + 295*T1^4*T2^9 + 
     2156*T1^5*T2^9 - 5748*T1^6*T2^9 + 2913*T1^7*T2^9 + 2913*T1^8*T2^9 - 
     5748*T1^9*T2^9 + 2156*T1^10*T2^9 + 295*T1^11*T2^9 - 195*T1^12*T2^9 + 
     150*T1^4*T2^10 - 597*T1^5*T2^10 + 129*T1^6*T2^10 + 2156*T1^7*T2^10 - 
     3309*T1^8*T2^10 + 2156*T1^9*T2^10 + 129*T1^10*T2^10 - 597*T1^11*T2^10 + 
     150*T1^12*T2^10 - 59*T1^5*T2^11 + 328*T1^6*T2^11 - 597*T1^7*T2^11 + 
     295*T1^8*T2^11 + 295*T1^9*T2^11 - 597*T1^10*T2^11 + 328*T1^11*T2^11 - 
     59*T1^12*T2^11 + 9*T1^6*T2^12 - 59*T1^7*T2^12 + 150*T1^8*T2^12 - 
     195*T1^9*T2^12 + 150*T1^10*T2^12 - 59*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 32] -> 
  {(2 - 13*T + 34*T^2 - 45*T^3 + 34*T^4 - 13*T^5 + 2*T^6)/T^3, 
   -((7 - 45*T1 + 116*T1^2 - 153*T1^3 + 116*T1^4 - 45*T1^5 + 7*T1^6 - 45*T2 + 
      244*T1*T2 - 455*T1^2*T2 + 237*T1^3*T2 + 237*T1^4*T2 - 455*T1^5*T2 + 
      244*T1^6*T2 - 45*T1^7*T2 + 116*T2^2 - 455*T1*T2^2 + 159*T1^2*T2^2 + 
      1570*T1^3*T2^2 - 2563*T1^4*T2^2 + 1570*T1^5*T2^2 + 159*T1^6*T2^2 - 
      455*T1^7*T2^2 + 116*T1^8*T2^2 - 153*T2^3 + 237*T1*T2^3 + 
      1570*T1^2*T2^3 - 4526*T1^3*T2^3 + 2511*T1^4*T2^3 + 2511*T1^5*T2^3 - 
      4526*T1^6*T2^3 + 1570*T1^7*T2^3 + 237*T1^8*T2^3 - 153*T1^9*T2^3 + 
      116*T2^4 + 237*T1*T2^4 - 2563*T1^2*T2^4 + 2511*T1^3*T2^4 + 
      6302*T1^4*T2^4 - 11642*T1^5*T2^4 + 6302*T1^6*T2^4 + 2511*T1^7*T2^4 - 
      2563*T1^8*T2^4 + 237*T1^9*T2^4 + 116*T1^10*T2^4 - 45*T2^5 - 
      455*T1*T2^5 + 1570*T1^2*T2^5 + 2511*T1^3*T2^5 - 11642*T1^4*T2^5 + 
      6868*T1^5*T2^5 + 6868*T1^6*T2^5 - 11642*T1^7*T2^5 + 2511*T1^8*T2^5 + 
      1570*T1^9*T2^5 - 455*T1^10*T2^5 - 45*T1^11*T2^5 + 7*T2^6 + 
      244*T1*T2^6 + 159*T1^2*T2^6 - 4526*T1^3*T2^6 + 6302*T1^4*T2^6 + 
      6868*T1^5*T2^6 - 15384*T1^6*T2^6 + 6868*T1^7*T2^6 + 6302*T1^8*T2^6 - 
      4526*T1^9*T2^6 + 159*T1^10*T2^6 + 244*T1^11*T2^6 + 7*T1^12*T2^6 - 
      45*T1*T2^7 - 455*T1^2*T2^7 + 1570*T1^3*T2^7 + 2511*T1^4*T2^7 - 
      11642*T1^5*T2^7 + 6868*T1^6*T2^7 + 6868*T1^7*T2^7 - 11642*T1^8*T2^7 + 
      2511*T1^9*T2^7 + 1570*T1^10*T2^7 - 455*T1^11*T2^7 - 45*T1^12*T2^7 + 
      116*T1^2*T2^8 + 237*T1^3*T2^8 - 2563*T1^4*T2^8 + 2511*T1^5*T2^8 + 
      6302*T1^6*T2^8 - 11642*T1^7*T2^8 + 6302*T1^8*T2^8 + 2511*T1^9*T2^8 - 
      2563*T1^10*T2^8 + 237*T1^11*T2^8 + 116*T1^12*T2^8 - 153*T1^3*T2^9 + 
      237*T1^4*T2^9 + 1570*T1^5*T2^9 - 4526*T1^6*T2^9 + 2511*T1^7*T2^9 + 
      2511*T1^8*T2^9 - 4526*T1^9*T2^9 + 1570*T1^10*T2^9 + 237*T1^11*T2^9 - 
      153*T1^12*T2^9 + 116*T1^4*T2^10 - 455*T1^5*T2^10 + 159*T1^6*T2^10 + 
      1570*T1^7*T2^10 - 2563*T1^8*T2^10 + 1570*T1^9*T2^10 + 159*T1^10*T2^10 - 
      455*T1^11*T2^10 + 116*T1^12*T2^10 - 45*T1^5*T2^11 + 244*T1^6*T2^11 - 
      455*T1^7*T2^11 + 237*T1^8*T2^11 + 237*T1^9*T2^11 - 455*T1^10*T2^11 + 
      244*T1^11*T2^11 - 45*T1^12*T2^11 + 7*T1^6*T2^12 - 45*T1^7*T2^12 + 
      116*T1^8*T2^12 - 153*T1^9*T2^12 + 116*T1^10*T2^12 - 45*T1^11*T2^12 + 
      7*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 33] -> 
  {((1 - T + T^2)^2*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^4, 
   (1 - 5*T1 + 4*T1^2 - 3*T1^3 + 4*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 12*T1*T2 + 
     25*T1^2*T2 - 17*T1^3*T2 - 17*T1^4*T2 + 25*T1^5*T2 + 12*T1^6*T2 - 
     5*T1^7*T2 + 4*T2^2 + 25*T1*T2^2 - 136*T1^2*T2^2 - 60*T1^3*T2^2 + 
     182*T1^4*T2^2 - 60*T1^5*T2^2 - 136*T1^6*T2^2 + 25*T1^7*T2^2 + 
     4*T1^8*T2^2 - 3*T2^3 - 17*T1*T2^3 - 60*T1^2*T2^3 + 768*T1^3*T2^3 - 
     437*T1^4*T2^3 - 437*T1^5*T2^3 + 768*T1^6*T2^3 - 60*T1^7*T2^3 - 
     17*T1^8*T2^3 - 3*T1^9*T2^3 + 4*T2^4 - 17*T1*T2^4 + 182*T1^2*T2^4 - 
     437*T1^3*T2^4 - 1814*T1^4*T2^4 + 3016*T1^5*T2^4 - 1814*T1^6*T2^4 - 
     437*T1^7*T2^4 + 182*T1^8*T2^4 - 17*T1^9*T2^4 + 4*T1^10*T2^4 - 5*T2^5 + 
     25*T1*T2^5 - 60*T1^2*T2^5 - 437*T1^3*T2^5 + 3016*T1^4*T2^5 - 
     1608*T1^5*T2^5 - 1608*T1^6*T2^5 + 3016*T1^7*T2^5 - 437*T1^8*T2^5 - 
     60*T1^9*T2^5 + 25*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 12*T1*T2^6 - 
     136*T1^2*T2^6 + 768*T1^3*T2^6 - 1814*T1^4*T2^6 - 1608*T1^5*T2^6 + 
     3372*T1^6*T2^6 - 1608*T1^7*T2^6 - 1814*T1^8*T2^6 + 768*T1^9*T2^6 - 
     136*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 + 25*T1^2*T2^7 - 
     60*T1^3*T2^7 - 437*T1^4*T2^7 + 3016*T1^5*T2^7 - 1608*T1^6*T2^7 - 
     1608*T1^7*T2^7 + 3016*T1^8*T2^7 - 437*T1^9*T2^7 - 60*T1^10*T2^7 + 
     25*T1^11*T2^7 - 5*T1^12*T2^7 + 4*T1^2*T2^8 - 17*T1^3*T2^8 + 
     182*T1^4*T2^8 - 437*T1^5*T2^8 - 1814*T1^6*T2^8 + 3016*T1^7*T2^8 - 
     1814*T1^8*T2^8 - 437*T1^9*T2^8 + 182*T1^10*T2^8 - 17*T1^11*T2^8 + 
     4*T1^12*T2^8 - 3*T1^3*T2^9 - 17*T1^4*T2^9 - 60*T1^5*T2^9 + 
     768*T1^6*T2^9 - 437*T1^7*T2^9 - 437*T1^8*T2^9 + 768*T1^9*T2^9 - 
     60*T1^10*T2^9 - 17*T1^11*T2^9 - 3*T1^12*T2^9 + 4*T1^4*T2^10 + 
     25*T1^5*T2^10 - 136*T1^6*T2^10 - 60*T1^7*T2^10 + 182*T1^8*T2^10 - 
     60*T1^9*T2^10 - 136*T1^10*T2^10 + 25*T1^11*T2^10 + 4*T1^12*T2^10 - 
     5*T1^5*T2^11 + 12*T1^6*T2^11 + 25*T1^7*T2^11 - 17*T1^8*T2^11 - 
     17*T1^9*T2^11 + 25*T1^10*T2^11 + 12*T1^11*T2^11 - 5*T1^12*T2^11 + 
     T1^6*T2^12 - 5*T1^7*T2^12 + 4*T1^8*T2^12 - 3*T1^9*T2^12 + 
     4*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 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), -((25 - 111*T1 + 194*T1^2 - 241*T1^3 + 253*T1^4 - 241*T1^5 + 
      194*T1^6 - 111*T1^7 + 25*T1^8 - 111*T2 + 384*T1*T2 - 375*T1^2*T2 + 
      213*T1^3*T2 - 54*T1^4*T2 - 54*T1^5*T2 + 213*T1^6*T2 - 375*T1^7*T2 + 
      384*T1^8*T2 - 111*T1^9*T2 + 194*T2^2 - 375*T1*T2^2 - 481*T1^2*T2^2 + 
      1136*T1^3*T2^2 - 1359*T1^4*T2^2 + 1329*T1^5*T2^2 - 1359*T1^6*T2^2 + 
      1136*T1^7*T2^2 - 481*T1^8*T2^2 - 375*T1^9*T2^2 + 194*T1^10*T2^2 - 
      241*T2^3 + 213*T1*T2^3 + 1136*T1^2*T2^3 - 974*T1^3*T2^3 + 
      407*T1^4*T2^3 - 9*T1^5*T2^3 - 9*T1^6*T2^3 + 407*T1^7*T2^3 - 
      974*T1^8*T2^3 + 1136*T1^9*T2^3 + 213*T1^10*T2^3 - 241*T1^11*T2^3 + 
      253*T2^4 - 54*T1*T2^4 - 1359*T1^2*T2^4 + 407*T1^3*T2^4 - 
      296*T1^4*T2^4 + 547*T1^5*T2^4 - 904*T1^6*T2^4 + 547*T1^7*T2^4 - 
      296*T1^8*T2^4 + 407*T1^9*T2^4 - 1359*T1^10*T2^4 - 54*T1^11*T2^4 + 
      253*T1^12*T2^4 - 241*T2^5 - 54*T1*T2^5 + 1329*T1^2*T2^5 - 9*T1^3*T2^5 + 
      547*T1^4*T2^5 - 510*T1^5*T2^5 + 339*T1^6*T2^5 + 339*T1^7*T2^5 - 
      510*T1^8*T2^5 + 547*T1^9*T2^5 - 9*T1^10*T2^5 + 1329*T1^11*T2^5 - 
      54*T1^12*T2^5 - 241*T1^13*T2^5 + 194*T2^6 + 213*T1*T2^6 - 
      1359*T1^2*T2^6 - 9*T1^3*T2^6 - 904*T1^4*T2^6 + 339*T1^5*T2^6 - 
      262*T1^6*T2^6 + 10*T1^7*T2^6 - 262*T1^8*T2^6 + 339*T1^9*T2^6 - 
      904*T1^10*T2^6 - 9*T1^11*T2^6 - 1359*T1^12*T2^6 + 213*T1^13*T2^6 + 
      194*T1^14*T2^6 - 111*T2^7 - 375*T1*T2^7 + 1136*T1^2*T2^7 + 
      407*T1^3*T2^7 + 547*T1^4*T2^7 + 339*T1^5*T2^7 + 10*T1^6*T2^7 + 
      82*T1^7*T2^7 + 82*T1^8*T2^7 + 10*T1^9*T2^7 + 339*T1^10*T2^7 + 
      547*T1^11*T2^7 + 407*T1^12*T2^7 + 1136*T1^13*T2^7 - 375*T1^14*T2^7 - 
      111*T1^15*T2^7 + 25*T2^8 + 384*T1*T2^8 - 481*T1^2*T2^8 - 
      974*T1^3*T2^8 - 296*T1^4*T2^8 - 510*T1^5*T2^8 - 262*T1^6*T2^8 + 
      82*T1^7*T2^8 - 180*T1^8*T2^8 + 82*T1^9*T2^8 - 262*T1^10*T2^8 - 
      510*T1^11*T2^8 - 296*T1^12*T2^8 - 974*T1^13*T2^8 - 481*T1^14*T2^8 + 
      384*T1^15*T2^8 + 25*T1^16*T2^8 - 111*T1*T2^9 - 375*T1^2*T2^9 + 
      1136*T1^3*T2^9 + 407*T1^4*T2^9 + 547*T1^5*T2^9 + 339*T1^6*T2^9 + 
      10*T1^7*T2^9 + 82*T1^8*T2^9 + 82*T1^9*T2^9 + 10*T1^10*T2^9 + 
      339*T1^11*T2^9 + 547*T1^12*T2^9 + 407*T1^13*T2^9 + 1136*T1^14*T2^9 - 
      375*T1^15*T2^9 - 111*T1^16*T2^9 + 194*T1^2*T2^10 + 213*T1^3*T2^10 - 
      1359*T1^4*T2^10 - 9*T1^5*T2^10 - 904*T1^6*T2^10 + 339*T1^7*T2^10 - 
      262*T1^8*T2^10 + 10*T1^9*T2^10 - 262*T1^10*T2^10 + 339*T1^11*T2^10 - 
      904*T1^12*T2^10 - 9*T1^13*T2^10 - 1359*T1^14*T2^10 + 213*T1^15*T2^10 + 
      194*T1^16*T2^10 - 241*T1^3*T2^11 - 54*T1^4*T2^11 + 1329*T1^5*T2^11 - 
      9*T1^6*T2^11 + 547*T1^7*T2^11 - 510*T1^8*T2^11 + 339*T1^9*T2^11 + 
      339*T1^10*T2^11 - 510*T1^11*T2^11 + 547*T1^12*T2^11 - 9*T1^13*T2^11 + 
      1329*T1^14*T2^11 - 54*T1^15*T2^11 - 241*T1^16*T2^11 + 253*T1^4*T2^12 - 
      54*T1^5*T2^12 - 1359*T1^6*T2^12 + 407*T1^7*T2^12 - 296*T1^8*T2^12 + 
      547*T1^9*T2^12 - 904*T1^10*T2^12 + 547*T1^11*T2^12 - 296*T1^12*T2^12 + 
      407*T1^13*T2^12 - 1359*T1^14*T2^12 - 54*T1^15*T2^12 + 253*T1^16*T2^12 - 
      241*T1^5*T2^13 + 213*T1^6*T2^13 + 1136*T1^7*T2^13 - 974*T1^8*T2^13 + 
      407*T1^9*T2^13 - 9*T1^10*T2^13 - 9*T1^11*T2^13 + 407*T1^12*T2^13 - 
      974*T1^13*T2^13 + 1136*T1^14*T2^13 + 213*T1^15*T2^13 - 
      241*T1^16*T2^13 + 194*T1^6*T2^14 - 375*T1^7*T2^14 - 481*T1^8*T2^14 + 
      1136*T1^9*T2^14 - 1359*T1^10*T2^14 + 1329*T1^11*T2^14 - 
      1359*T1^12*T2^14 + 1136*T1^13*T2^14 - 481*T1^14*T2^14 - 
      375*T1^15*T2^14 + 194*T1^16*T2^14 - 111*T1^7*T2^15 + 384*T1^8*T2^15 - 
      375*T1^9*T2^15 + 213*T1^10*T2^15 - 54*T1^11*T2^15 - 54*T1^12*T2^15 + 
      213*T1^13*T2^15 - 375*T1^14*T2^15 + 384*T1^15*T2^15 - 111*T1^16*T2^15 + 
      25*T1^8*T2^16 - 111*T1^9*T2^16 + 194*T1^10*T2^16 - 241*T1^11*T2^16 + 
      253*T1^12*T2^16 - 241*T1^13*T2^16 + 194*T1^14*T2^16 - 111*T1^15*T2^16 + 
      25*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 35] -> 
  {-((4 - 20*T + 40*T^2 - 49*T^3 + 40*T^4 - 20*T^5 + 4*T^6)/T^3), 
   -((144 - 704*T1 + 1372*T1^2 - 1664*T1^3 + 1372*T1^4 - 704*T1^5 + 
      144*T1^6 - 704*T2 + 2756*T1*T2 - 3326*T1^2*T2 + 1466*T1^3*T2 + 
      1466*T1^4*T2 - 3326*T1^5*T2 + 2756*T1^6*T2 - 704*T1^7*T2 + 1372*T2^2 - 
      3326*T1*T2^2 - 2268*T1^2*T2^2 + 10497*T1^3*T2^2 - 14188*T1^4*T2^2 + 
      10497*T1^5*T2^2 - 2268*T1^6*T2^2 - 3326*T1^7*T2^2 + 1372*T1^8*T2^2 - 
      1664*T2^3 + 1466*T1*T2^3 + 10497*T1^2*T2^3 - 14974*T1^3*T2^3 + 
      6814*T1^4*T2^3 + 6814*T1^5*T2^3 - 14974*T1^6*T2^3 + 10497*T1^7*T2^3 + 
      1466*T1^8*T2^3 - 1664*T1^9*T2^3 + 1372*T2^4 + 1466*T1*T2^4 - 
      14188*T1^2*T2^4 + 6814*T1^3*T2^4 + 8050*T1^4*T2^4 - 14934*T1^5*T2^4 + 
      8050*T1^6*T2^4 + 6814*T1^7*T2^4 - 14188*T1^8*T2^4 + 1466*T1^9*T2^4 + 
      1372*T1^10*T2^4 - 704*T2^5 - 3326*T1*T2^5 + 10497*T1^2*T2^5 + 
      6814*T1^3*T2^5 - 14934*T1^4*T2^5 + 7228*T1^5*T2^5 + 7228*T1^6*T2^5 - 
      14934*T1^7*T2^5 + 6814*T1^8*T2^5 + 10497*T1^9*T2^5 - 3326*T1^10*T2^5 - 
      704*T1^11*T2^5 + 144*T2^6 + 2756*T1*T2^6 - 2268*T1^2*T2^6 - 
      14974*T1^3*T2^6 + 8050*T1^4*T2^6 + 7228*T1^5*T2^6 - 14328*T1^6*T2^6 + 
      7228*T1^7*T2^6 + 8050*T1^8*T2^6 - 14974*T1^9*T2^6 - 2268*T1^10*T2^6 + 
      2756*T1^11*T2^6 + 144*T1^12*T2^6 - 704*T1*T2^7 - 3326*T1^2*T2^7 + 
      10497*T1^3*T2^7 + 6814*T1^4*T2^7 - 14934*T1^5*T2^7 + 7228*T1^6*T2^7 + 
      7228*T1^7*T2^7 - 14934*T1^8*T2^7 + 6814*T1^9*T2^7 + 10497*T1^10*T2^7 - 
      3326*T1^11*T2^7 - 704*T1^12*T2^7 + 1372*T1^2*T2^8 + 1466*T1^3*T2^8 - 
      14188*T1^4*T2^8 + 6814*T1^5*T2^8 + 8050*T1^6*T2^8 - 14934*T1^7*T2^8 + 
      8050*T1^8*T2^8 + 6814*T1^9*T2^8 - 14188*T1^10*T2^8 + 1466*T1^11*T2^8 + 
      1372*T1^12*T2^8 - 1664*T1^3*T2^9 + 1466*T1^4*T2^9 + 10497*T1^5*T2^9 - 
      14974*T1^6*T2^9 + 6814*T1^7*T2^9 + 6814*T1^8*T2^9 - 14974*T1^9*T2^9 + 
      10497*T1^10*T2^9 + 1466*T1^11*T2^9 - 1664*T1^12*T2^9 + 
      1372*T1^4*T2^10 - 3326*T1^5*T2^10 - 2268*T1^6*T2^10 + 
      10497*T1^7*T2^10 - 14188*T1^8*T2^10 + 10497*T1^9*T2^10 - 
      2268*T1^10*T2^10 - 3326*T1^11*T2^10 + 1372*T1^12*T2^10 - 
      704*T1^5*T2^11 + 2756*T1^6*T2^11 - 3326*T1^7*T2^11 + 1466*T1^8*T2^11 + 
      1466*T1^9*T2^11 - 3326*T1^10*T2^11 + 2756*T1^11*T2^11 - 
      704*T1^12*T2^11 + 144*T1^6*T2^12 - 704*T1^7*T2^12 + 1372*T1^8*T2^12 - 
      1664*T1^9*T2^12 + 1372*T1^10*T2^12 - 704*T1^11*T2^12 + 144*T1^12*T2^12)/
     (T1^6*T2^6))}, 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), -((25 - 123*T1 + 252*T1^2 - 352*T1^3 + 383*T1^4 - 352*T1^5 + 
      252*T1^6 - 123*T1^7 + 25*T1^8 - 123*T2 + 486*T1*T2 - 651*T1^2*T2 + 
      516*T1^3*T2 - 165*T1^4*T2 - 165*T1^5*T2 + 516*T1^6*T2 - 651*T1^7*T2 + 
      486*T1^8*T2 - 123*T1^9*T2 + 252*T2^2 - 651*T1*T2^2 - 137*T1^2*T2^2 + 
      1314*T1^3*T2^2 - 2236*T1^4*T2^2 + 2363*T1^5*T2^2 - 2236*T1^6*T2^2 + 
      1314*T1^7*T2^2 - 137*T1^8*T2^2 - 651*T1^9*T2^2 + 252*T1^10*T2^2 - 
      352*T2^3 + 516*T1*T2^3 + 1314*T1^2*T2^3 - 2070*T1^3*T2^3 + 
      1714*T1^4*T2^3 - 356*T1^5*T2^3 - 356*T1^6*T2^3 + 1714*T1^7*T2^3 - 
      2070*T1^8*T2^3 + 1314*T1^9*T2^3 + 516*T1^10*T2^3 - 352*T1^11*T2^3 + 
      383*T2^4 - 165*T1*T2^4 - 2236*T1^2*T2^4 + 1714*T1^3*T2^4 - 
      987*T1^4*T2^4 + 175*T1^5*T2^4 - 897*T1^6*T2^4 + 175*T1^7*T2^4 - 
      987*T1^8*T2^4 + 1714*T1^9*T2^4 - 2236*T1^10*T2^4 - 165*T1^11*T2^4 + 
      383*T1^12*T2^4 - 352*T2^5 - 165*T1*T2^5 + 2363*T1^2*T2^5 - 
      356*T1^3*T2^5 + 175*T1^4*T2^5 + 106*T1^5*T2^5 + 796*T1^6*T2^5 + 
      796*T1^7*T2^5 + 106*T1^8*T2^5 + 175*T1^9*T2^5 - 356*T1^10*T2^5 + 
      2363*T1^11*T2^5 - 165*T1^12*T2^5 - 352*T1^13*T2^5 + 252*T2^6 + 
      516*T1*T2^6 - 2236*T1^2*T2^6 - 356*T1^3*T2^6 - 897*T1^4*T2^6 + 
      796*T1^5*T2^6 - 1460*T1^6*T2^6 - 348*T1^7*T2^6 - 1460*T1^8*T2^6 + 
      796*T1^9*T2^6 - 897*T1^10*T2^6 - 356*T1^11*T2^6 - 2236*T1^12*T2^6 + 
      516*T1^13*T2^6 + 252*T1^14*T2^6 - 123*T2^7 - 651*T1*T2^7 + 
      1314*T1^2*T2^7 + 1714*T1^3*T2^7 + 175*T1^4*T2^7 + 796*T1^5*T2^7 - 
      348*T1^6*T2^7 + 1412*T1^7*T2^7 + 1412*T1^8*T2^7 - 348*T1^9*T2^7 + 
      796*T1^10*T2^7 + 175*T1^11*T2^7 + 1714*T1^12*T2^7 + 1314*T1^13*T2^7 - 
      651*T1^14*T2^7 - 123*T1^15*T2^7 + 25*T2^8 + 486*T1*T2^8 - 
      137*T1^2*T2^8 - 2070*T1^3*T2^8 - 987*T1^4*T2^8 + 106*T1^5*T2^8 - 
      1460*T1^6*T2^8 + 1412*T1^7*T2^8 - 3864*T1^8*T2^8 + 1412*T1^9*T2^8 - 
      1460*T1^10*T2^8 + 106*T1^11*T2^8 - 987*T1^12*T2^8 - 2070*T1^13*T2^8 - 
      137*T1^14*T2^8 + 486*T1^15*T2^8 + 25*T1^16*T2^8 - 123*T1*T2^9 - 
      651*T1^2*T2^9 + 1314*T1^3*T2^9 + 1714*T1^4*T2^9 + 175*T1^5*T2^9 + 
      796*T1^6*T2^9 - 348*T1^7*T2^9 + 1412*T1^8*T2^9 + 1412*T1^9*T2^9 - 
      348*T1^10*T2^9 + 796*T1^11*T2^9 + 175*T1^12*T2^9 + 1714*T1^13*T2^9 + 
      1314*T1^14*T2^9 - 651*T1^15*T2^9 - 123*T1^16*T2^9 + 252*T1^2*T2^10 + 
      516*T1^3*T2^10 - 2236*T1^4*T2^10 - 356*T1^5*T2^10 - 897*T1^6*T2^10 + 
      796*T1^7*T2^10 - 1460*T1^8*T2^10 - 348*T1^9*T2^10 - 1460*T1^10*T2^10 + 
      796*T1^11*T2^10 - 897*T1^12*T2^10 - 356*T1^13*T2^10 - 
      2236*T1^14*T2^10 + 516*T1^15*T2^10 + 252*T1^16*T2^10 - 352*T1^3*T2^11 - 
      165*T1^4*T2^11 + 2363*T1^5*T2^11 - 356*T1^6*T2^11 + 175*T1^7*T2^11 + 
      106*T1^8*T2^11 + 796*T1^9*T2^11 + 796*T1^10*T2^11 + 106*T1^11*T2^11 + 
      175*T1^12*T2^11 - 356*T1^13*T2^11 + 2363*T1^14*T2^11 - 
      165*T1^15*T2^11 - 352*T1^16*T2^11 + 383*T1^4*T2^12 - 165*T1^5*T2^12 - 
      2236*T1^6*T2^12 + 1714*T1^7*T2^12 - 987*T1^8*T2^12 + 175*T1^9*T2^12 - 
      897*T1^10*T2^12 + 175*T1^11*T2^12 - 987*T1^12*T2^12 + 
      1714*T1^13*T2^12 - 2236*T1^14*T2^12 - 165*T1^15*T2^12 + 
      383*T1^16*T2^12 - 352*T1^5*T2^13 + 516*T1^6*T2^13 + 1314*T1^7*T2^13 - 
      2070*T1^8*T2^13 + 1714*T1^9*T2^13 - 356*T1^10*T2^13 - 356*T1^11*T2^13 + 
      1714*T1^12*T2^13 - 2070*T1^13*T2^13 + 1314*T1^14*T2^13 + 
      516*T1^15*T2^13 - 352*T1^16*T2^13 + 252*T1^6*T2^14 - 651*T1^7*T2^14 - 
      137*T1^8*T2^14 + 1314*T1^9*T2^14 - 2236*T1^10*T2^14 + 
      2363*T1^11*T2^14 - 2236*T1^12*T2^14 + 1314*T1^13*T2^14 - 
      137*T1^14*T2^14 - 651*T1^15*T2^14 + 252*T1^16*T2^14 - 123*T1^7*T2^15 + 
      486*T1^8*T2^15 - 651*T1^9*T2^15 + 516*T1^10*T2^15 - 165*T1^11*T2^15 - 
      165*T1^12*T2^15 + 516*T1^13*T2^15 - 651*T1^14*T2^15 + 486*T1^15*T2^15 - 
      123*T1^16*T2^15 + 25*T1^8*T2^16 - 123*T1^9*T2^16 + 252*T1^10*T2^16 - 
      352*T1^11*T2^16 + 383*T1^12*T2^16 - 352*T1^13*T2^16 + 252*T1^14*T2^16 - 
      123*T1^15*T2^16 + 25*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 37] -> 
  {-((3 - 15*T + 30*T^2 - 37*T^3 + 30*T^4 - 15*T^5 + 3*T^6)/T^3), 
   -((63 - 309*T1 + 606*T1^2 - 743*T1^3 + 606*T1^4 - 309*T1^5 + 63*T1^6 - 
      309*T2 + 1212*T1*T2 - 1473*T1^2*T2 + 681*T1^3*T2 + 681*T1^4*T2 - 
      1473*T1^5*T2 + 1212*T1^6*T2 - 309*T1^7*T2 + 606*T2^2 - 1473*T1*T2^2 - 
      993*T1^2*T2^2 + 4625*T1^3*T2^2 - 6483*T1^4*T2^2 + 4625*T1^5*T2^2 - 
      993*T1^6*T2^2 - 1473*T1^7*T2^2 + 606*T1^8*T2^2 - 743*T2^3 + 
      681*T1*T2^3 + 4625*T1^2*T2^3 - 6648*T1^3*T2^3 + 3338*T1^4*T2^3 + 
      3338*T1^5*T2^3 - 6648*T1^6*T2^3 + 4625*T1^7*T2^3 + 681*T1^8*T2^3 - 
      743*T1^9*T2^3 + 606*T2^4 + 681*T1*T2^4 - 6483*T1^2*T2^4 + 
      3338*T1^3*T2^4 + 3088*T1^4*T2^4 - 7116*T1^5*T2^4 + 3088*T1^6*T2^4 + 
      3338*T1^7*T2^4 - 6483*T1^8*T2^4 + 681*T1^9*T2^4 + 606*T1^10*T2^4 - 
      309*T2^5 - 1473*T1*T2^5 + 4625*T1^2*T2^5 + 3338*T1^3*T2^5 - 
      7116*T1^4*T2^5 + 4226*T1^5*T2^5 + 4226*T1^6*T2^5 - 7116*T1^7*T2^5 + 
      3338*T1^8*T2^5 + 4625*T1^9*T2^5 - 1473*T1^10*T2^5 - 309*T1^11*T2^5 + 
      63*T2^6 + 1212*T1*T2^6 - 993*T1^2*T2^6 - 6648*T1^3*T2^6 + 
      3088*T1^4*T2^6 + 4226*T1^5*T2^6 - 9252*T1^6*T2^6 + 4226*T1^7*T2^6 + 
      3088*T1^8*T2^6 - 6648*T1^9*T2^6 - 993*T1^10*T2^6 + 1212*T1^11*T2^6 + 
      63*T1^12*T2^6 - 309*T1*T2^7 - 1473*T1^2*T2^7 + 4625*T1^3*T2^7 + 
      3338*T1^4*T2^7 - 7116*T1^5*T2^7 + 4226*T1^6*T2^7 + 4226*T1^7*T2^7 - 
      7116*T1^8*T2^7 + 3338*T1^9*T2^7 + 4625*T1^10*T2^7 - 1473*T1^11*T2^7 - 
      309*T1^12*T2^7 + 606*T1^2*T2^8 + 681*T1^3*T2^8 - 6483*T1^4*T2^8 + 
      3338*T1^5*T2^8 + 3088*T1^6*T2^8 - 7116*T1^7*T2^8 + 3088*T1^8*T2^8 + 
      3338*T1^9*T2^8 - 6483*T1^10*T2^8 + 681*T1^11*T2^8 + 606*T1^12*T2^8 - 
      743*T1^3*T2^9 + 681*T1^4*T2^9 + 4625*T1^5*T2^9 - 6648*T1^6*T2^9 + 
      3338*T1^7*T2^9 + 3338*T1^8*T2^9 - 6648*T1^9*T2^9 + 4625*T1^10*T2^9 + 
      681*T1^11*T2^9 - 743*T1^12*T2^9 + 606*T1^4*T2^10 - 1473*T1^5*T2^10 - 
      993*T1^6*T2^10 + 4625*T1^7*T2^10 - 6483*T1^8*T2^10 + 4625*T1^9*T2^10 - 
      993*T1^10*T2^10 - 1473*T1^11*T2^10 + 606*T1^12*T2^10 - 309*T1^5*T2^11 + 
      1212*T1^6*T2^11 - 1473*T1^7*T2^11 + 681*T1^8*T2^11 + 681*T1^9*T2^11 - 
      1473*T1^10*T2^11 + 1212*T1^11*T2^11 - 309*T1^12*T2^11 + 63*T1^6*T2^12 - 
      309*T1^7*T2^12 + 606*T1^8*T2^12 - 743*T1^9*T2^12 + 606*T1^10*T2^12 - 
      309*T1^11*T2^12 + 63*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 38] -> {-((4 - 18*T + 27*T^2 - 18*T^3 + 4*T^4)/T^2), 
   (-5*(20 - 88*T1 + 130*T1^2 - 88*T1^3 + 20*T1^4 - 88*T2 + 300*T1*T2 - 
      186*T1^2*T2 - 186*T1^3*T2 + 300*T1^4*T2 - 88*T1^5*T2 + 130*T2^2 - 
      186*T1*T2^2 - 727*T1^2*T2^2 + 1379*T1^3*T2^2 - 727*T1^4*T2^2 - 
      186*T1^5*T2^2 + 130*T1^6*T2^2 - 88*T2^3 - 186*T1*T2^3 + 
      1379*T1^2*T2^3 - 918*T1^3*T2^3 - 918*T1^4*T2^3 + 1379*T1^5*T2^3 - 
      186*T1^6*T2^3 - 88*T1^7*T2^3 + 20*T2^4 + 300*T1*T2^4 - 727*T1^2*T2^4 - 
      918*T1^3*T2^4 + 2184*T1^4*T2^4 - 918*T1^5*T2^4 - 727*T1^6*T2^4 + 
      300*T1^7*T2^4 + 20*T1^8*T2^4 - 88*T1*T2^5 - 186*T1^2*T2^5 + 
      1379*T1^3*T2^5 - 918*T1^4*T2^5 - 918*T1^5*T2^5 + 1379*T1^6*T2^5 - 
      186*T1^7*T2^5 - 88*T1^8*T2^5 + 130*T1^2*T2^6 - 186*T1^3*T2^6 - 
      727*T1^4*T2^6 + 1379*T1^5*T2^6 - 727*T1^6*T2^6 - 186*T1^7*T2^6 + 
      130*T1^8*T2^6 - 88*T1^3*T2^7 + 300*T1^4*T2^7 - 186*T1^5*T2^7 - 
      186*T1^6*T2^7 + 300*T1^7*T2^7 - 88*T1^8*T2^7 + 20*T1^4*T2^8 - 
      88*T1^5*T2^8 + 130*T1^6*T2^8 - 88*T1^7*T2^8 + 20*T1^8*T2^8))/
    (T1^4*T2^4)}, 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), (1 - 7*T1 + 21*T1^2 - 40*T1^3 + 49*T1^4 - 40*T1^5 + 21*T1^6 - 
     7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 98*T1^2*T2 + 133*T1^3*T2 - 
     63*T1^4*T2 - 63*T1^5*T2 + 133*T1^6*T2 - 98*T1^7*T2 + 42*T1^8*T2 - 
     7*T1^9*T2 + 21*T2^2 - 98*T1*T2^2 + 123*T1^2*T2^2 + 29*T1^3*T2^2 - 
     464*T1^4*T2^2 + 691*T1^5*T2^2 - 464*T1^6*T2^2 + 29*T1^7*T2^2 + 
     123*T1^8*T2^2 - 98*T1^9*T2^2 + 21*T1^10*T2^2 - 40*T2^3 + 133*T1*T2^3 + 
     29*T1^2*T2^3 - 482*T1^3*T2^3 + 1096*T1^4*T2^3 - 570*T1^5*T2^3 - 
     570*T1^6*T2^3 + 1096*T1^7*T2^3 - 482*T1^8*T2^3 + 29*T1^9*T2^3 + 
     133*T1^10*T2^3 - 40*T1^11*T2^3 + 49*T2^4 - 63*T1*T2^4 - 464*T1^2*T2^4 + 
     1096*T1^3*T2^4 - 1324*T1^4*T2^4 - 598*T1^5*T2^4 + 1724*T1^6*T2^4 - 
     598*T1^7*T2^4 - 1324*T1^8*T2^4 + 1096*T1^9*T2^4 - 464*T1^10*T2^4 - 
     63*T1^11*T2^4 + 49*T1^12*T2^4 - 40*T2^5 - 63*T1*T2^5 + 691*T1^2*T2^5 - 
     570*T1^3*T2^5 - 598*T1^4*T2^5 + 3436*T1^5*T2^5 - 1978*T1^6*T2^5 - 
     1978*T1^7*T2^5 + 3436*T1^8*T2^5 - 598*T1^9*T2^5 - 570*T1^10*T2^5 + 
     691*T1^11*T2^5 - 63*T1^12*T2^5 - 40*T1^13*T2^5 + 21*T2^6 + 133*T1*T2^6 - 
     464*T1^2*T2^6 - 570*T1^3*T2^6 + 1724*T1^4*T2^6 - 1978*T1^5*T2^6 - 
     4120*T1^6*T2^6 + 7766*T1^7*T2^6 - 4120*T1^8*T2^6 - 1978*T1^9*T2^6 + 
     1724*T1^10*T2^6 - 570*T1^11*T2^6 - 464*T1^12*T2^6 + 133*T1^13*T2^6 + 
     21*T1^14*T2^6 - 7*T2^7 - 98*T1*T2^7 + 29*T1^2*T2^7 + 1096*T1^3*T2^7 - 
     598*T1^4*T2^7 - 1978*T1^5*T2^7 + 7766*T1^6*T2^7 - 4456*T1^7*T2^7 - 
     4456*T1^8*T2^7 + 7766*T1^9*T2^7 - 1978*T1^10*T2^7 - 598*T1^11*T2^7 + 
     1096*T1^12*T2^7 + 29*T1^13*T2^7 - 98*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 
     42*T1*T2^8 + 123*T1^2*T2^8 - 482*T1^3*T2^8 - 1324*T1^4*T2^8 + 
     3436*T1^5*T2^8 - 4120*T1^6*T2^8 - 4456*T1^7*T2^8 + 9768*T1^8*T2^8 - 
     4456*T1^9*T2^8 - 4120*T1^10*T2^8 + 3436*T1^11*T2^8 - 1324*T1^12*T2^8 - 
     482*T1^13*T2^8 + 123*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 
     7*T1*T2^9 - 98*T1^2*T2^9 + 29*T1^3*T2^9 + 1096*T1^4*T2^9 - 
     598*T1^5*T2^9 - 1978*T1^6*T2^9 + 7766*T1^7*T2^9 - 4456*T1^8*T2^9 - 
     4456*T1^9*T2^9 + 7766*T1^10*T2^9 - 1978*T1^11*T2^9 - 598*T1^12*T2^9 + 
     1096*T1^13*T2^9 + 29*T1^14*T2^9 - 98*T1^15*T2^9 - 7*T1^16*T2^9 + 
     21*T1^2*T2^10 + 133*T1^3*T2^10 - 464*T1^4*T2^10 - 570*T1^5*T2^10 + 
     1724*T1^6*T2^10 - 1978*T1^7*T2^10 - 4120*T1^8*T2^10 + 7766*T1^9*T2^10 - 
     4120*T1^10*T2^10 - 1978*T1^11*T2^10 + 1724*T1^12*T2^10 - 
     570*T1^13*T2^10 - 464*T1^14*T2^10 + 133*T1^15*T2^10 + 21*T1^16*T2^10 - 
     40*T1^3*T2^11 - 63*T1^4*T2^11 + 691*T1^5*T2^11 - 570*T1^6*T2^11 - 
     598*T1^7*T2^11 + 3436*T1^8*T2^11 - 1978*T1^9*T2^11 - 1978*T1^10*T2^11 + 
     3436*T1^11*T2^11 - 598*T1^12*T2^11 - 570*T1^13*T2^11 + 691*T1^14*T2^11 - 
     63*T1^15*T2^11 - 40*T1^16*T2^11 + 49*T1^4*T2^12 - 63*T1^5*T2^12 - 
     464*T1^6*T2^12 + 1096*T1^7*T2^12 - 1324*T1^8*T2^12 - 598*T1^9*T2^12 + 
     1724*T1^10*T2^12 - 598*T1^11*T2^12 - 1324*T1^12*T2^12 + 
     1096*T1^13*T2^12 - 464*T1^14*T2^12 - 63*T1^15*T2^12 + 49*T1^16*T2^12 - 
     40*T1^5*T2^13 + 133*T1^6*T2^13 + 29*T1^7*T2^13 - 482*T1^8*T2^13 + 
     1096*T1^9*T2^13 - 570*T1^10*T2^13 - 570*T1^11*T2^13 + 1096*T1^12*T2^13 - 
     482*T1^13*T2^13 + 29*T1^14*T2^13 + 133*T1^15*T2^13 - 40*T1^16*T2^13 + 
     21*T1^6*T2^14 - 98*T1^7*T2^14 + 123*T1^8*T2^14 + 29*T1^9*T2^14 - 
     464*T1^10*T2^14 + 691*T1^11*T2^14 - 464*T1^12*T2^14 + 29*T1^13*T2^14 + 
     123*T1^14*T2^14 - 98*T1^15*T2^14 + 21*T1^16*T2^14 - 7*T1^7*T2^15 + 
     42*T1^8*T2^15 - 98*T1^9*T2^15 + 133*T1^10*T2^15 - 63*T1^11*T2^15 - 
     63*T1^12*T2^15 + 133*T1^13*T2^15 - 98*T1^14*T2^15 + 42*T1^15*T2^15 - 
     7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 21*T1^10*T2^16 - 
     40*T1^11*T2^16 + 49*T1^12*T2^16 - 40*T1^13*T2^16 + 21*T1^14*T2^16 - 
     7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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), -((1 - 7*T1 + 23*T1^2 - 46*T1^3 + 57*T1^4 - 46*T1^5 + 23*T1^6 - 
      7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 112*T1^2*T2 + 161*T1^3*T2 - 
      77*T1^4*T2 - 77*T1^5*T2 + 161*T1^6*T2 - 112*T1^7*T2 + 42*T1^8*T2 - 
      7*T1^9*T2 + 23*T2^2 - 112*T1*T2^2 + 209*T1^2*T2^2 - 93*T1^3*T2^2 - 
      413*T1^4*T2^2 + 677*T1^5*T2^2 - 413*T1^6*T2^2 - 93*T1^7*T2^2 + 
      209*T1^8*T2^2 - 112*T1^9*T2^2 + 23*T1^10*T2^2 - 46*T2^3 + 161*T1*T2^3 - 
      93*T1^2*T2^3 - 496*T1^3*T2^3 + 1394*T1^4*T2^3 - 713*T1^5*T2^3 - 
      713*T1^6*T2^3 + 1394*T1^7*T2^3 - 496*T1^8*T2^3 - 93*T1^9*T2^3 + 
      161*T1^10*T2^3 - 46*T1^11*T2^3 + 57*T2^4 - 77*T1*T2^4 - 413*T1^2*T2^4 + 
      1394*T1^3*T2^4 - 1633*T1^4*T2^4 - 1502*T1^5*T2^4 + 3063*T1^6*T2^4 - 
      1502*T1^7*T2^4 - 1633*T1^8*T2^4 + 1394*T1^9*T2^4 - 413*T1^10*T2^4 - 
      77*T1^11*T2^4 + 57*T1^12*T2^4 - 46*T2^5 - 77*T1*T2^5 + 677*T1^2*T2^5 - 
      713*T1^3*T2^5 - 1502*T1^4*T2^5 + 6354*T1^5*T2^5 - 3199*T1^6*T2^5 - 
      3199*T1^7*T2^5 + 6354*T1^8*T2^5 - 1502*T1^9*T2^5 - 713*T1^10*T2^5 + 
      677*T1^11*T2^5 - 77*T1^12*T2^5 - 46*T1^13*T2^5 + 23*T2^6 + 
      161*T1*T2^6 - 413*T1^2*T2^6 - 713*T1^3*T2^6 + 3063*T1^4*T2^6 - 
      3199*T1^5*T2^6 - 8879*T1^6*T2^6 + 14553*T1^7*T2^6 - 8879*T1^8*T2^6 - 
      3199*T1^9*T2^6 + 3063*T1^10*T2^6 - 713*T1^11*T2^6 - 413*T1^12*T2^6 + 
      161*T1^13*T2^6 + 23*T1^14*T2^6 - 7*T2^7 - 112*T1*T2^7 - 93*T1^2*T2^7 + 
      1394*T1^3*T2^7 - 1502*T1^4*T2^7 - 3199*T1^5*T2^7 + 14553*T1^6*T2^7 - 
      7256*T1^7*T2^7 - 7256*T1^8*T2^7 + 14553*T1^9*T2^7 - 3199*T1^10*T2^7 - 
      1502*T1^11*T2^7 + 1394*T1^12*T2^7 - 93*T1^13*T2^7 - 112*T1^14*T2^7 - 
      7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 209*T1^2*T2^8 - 496*T1^3*T2^8 - 
      1633*T1^4*T2^8 + 6354*T1^5*T2^8 - 8879*T1^6*T2^8 - 7256*T1^7*T2^8 + 
      14856*T1^8*T2^8 - 7256*T1^9*T2^8 - 8879*T1^10*T2^8 + 6354*T1^11*T2^8 - 
      1633*T1^12*T2^8 - 496*T1^13*T2^8 + 209*T1^14*T2^8 + 42*T1^15*T2^8 + 
      T1^16*T2^8 - 7*T1*T2^9 - 112*T1^2*T2^9 - 93*T1^3*T2^9 + 
      1394*T1^4*T2^9 - 1502*T1^5*T2^9 - 3199*T1^6*T2^9 + 14553*T1^7*T2^9 - 
      7256*T1^8*T2^9 - 7256*T1^9*T2^9 + 14553*T1^10*T2^9 - 3199*T1^11*T2^9 - 
      1502*T1^12*T2^9 + 1394*T1^13*T2^9 - 93*T1^14*T2^9 - 112*T1^15*T2^9 - 
      7*T1^16*T2^9 + 23*T1^2*T2^10 + 161*T1^3*T2^10 - 413*T1^4*T2^10 - 
      713*T1^5*T2^10 + 3063*T1^6*T2^10 - 3199*T1^7*T2^10 - 8879*T1^8*T2^10 + 
      14553*T1^9*T2^10 - 8879*T1^10*T2^10 - 3199*T1^11*T2^10 + 
      3063*T1^12*T2^10 - 713*T1^13*T2^10 - 413*T1^14*T2^10 + 
      161*T1^15*T2^10 + 23*T1^16*T2^10 - 46*T1^3*T2^11 - 77*T1^4*T2^11 + 
      677*T1^5*T2^11 - 713*T1^6*T2^11 - 1502*T1^7*T2^11 + 6354*T1^8*T2^11 - 
      3199*T1^9*T2^11 - 3199*T1^10*T2^11 + 6354*T1^11*T2^11 - 
      1502*T1^12*T2^11 - 713*T1^13*T2^11 + 677*T1^14*T2^11 - 77*T1^15*T2^11 - 
      46*T1^16*T2^11 + 57*T1^4*T2^12 - 77*T1^5*T2^12 - 413*T1^6*T2^12 + 
      1394*T1^7*T2^12 - 1633*T1^8*T2^12 - 1502*T1^9*T2^12 + 
      3063*T1^10*T2^12 - 1502*T1^11*T2^12 - 1633*T1^12*T2^12 + 
      1394*T1^13*T2^12 - 413*T1^14*T2^12 - 77*T1^15*T2^12 + 57*T1^16*T2^12 - 
      46*T1^5*T2^13 + 161*T1^6*T2^13 - 93*T1^7*T2^13 - 496*T1^8*T2^13 + 
      1394*T1^9*T2^13 - 713*T1^10*T2^13 - 713*T1^11*T2^13 + 
      1394*T1^12*T2^13 - 496*T1^13*T2^13 - 93*T1^14*T2^13 + 161*T1^15*T2^13 - 
      46*T1^16*T2^13 + 23*T1^6*T2^14 - 112*T1^7*T2^14 + 209*T1^8*T2^14 - 
      93*T1^9*T2^14 - 413*T1^10*T2^14 + 677*T1^11*T2^14 - 413*T1^12*T2^14 - 
      93*T1^13*T2^14 + 209*T1^14*T2^14 - 112*T1^15*T2^14 + 23*T1^16*T2^14 - 
      7*T1^7*T2^15 + 42*T1^8*T2^15 - 112*T1^9*T2^15 + 161*T1^10*T2^15 - 
      77*T1^11*T2^15 - 77*T1^12*T2^15 + 161*T1^13*T2^15 - 112*T1^14*T2^15 + 
      42*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 
      23*T1^10*T2^16 - 46*T1^11*T2^16 + 57*T1^12*T2^16 - 46*T1^13*T2^16 + 
      23*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, -((17 - 75*T1 + 189*T1^2 - 300*T1^3 + 347*T1^4 - 300*T1^5 + 
      189*T1^6 - 75*T1^7 + 17*T1^8 - 75*T2 + 258*T1*T2 - 510*T1^2*T2 + 
      501*T1^3*T2 - 213*T1^4*T2 - 213*T1^5*T2 + 501*T1^6*T2 - 510*T1^7*T2 + 
      258*T1^8*T2 - 75*T1^9*T2 + 189*T2^2 - 510*T1*T2^2 + 836*T1^2*T2^2 - 
      456*T1^3*T2^2 - 12*T1^4*T2^2 + 266*T1^5*T2^2 - 12*T1^6*T2^2 - 
      456*T1^7*T2^2 + 836*T1^8*T2^2 - 510*T1^9*T2^2 + 189*T1^10*T2^2 - 
      300*T2^3 + 501*T1*T2^3 - 456*T1^2*T2^3 - 758*T1^3*T2^3 + 
      960*T1^4*T2^3 - 505*T1^5*T2^3 - 505*T1^6*T2^3 + 960*T1^7*T2^3 - 
      758*T1^8*T2^3 - 456*T1^9*T2^3 + 501*T1^10*T2^3 - 300*T1^11*T2^3 + 
      347*T2^4 - 213*T1*T2^4 - 12*T1^2*T2^4 + 960*T1^3*T2^4 + 
      1184*T1^4*T2^4 - 3101*T1^5*T2^4 + 4250*T1^6*T2^4 - 3101*T1^7*T2^4 + 
      1184*T1^8*T2^4 + 960*T1^9*T2^4 - 12*T1^10*T2^4 - 213*T1^11*T2^4 + 
      347*T1^12*T2^4 - 300*T2^5 - 213*T1*T2^5 + 266*T1^2*T2^5 - 
      505*T1^3*T2^5 - 3101*T1^4*T2^5 + 3198*T1^5*T2^5 - 1700*T1^6*T2^5 - 
      1700*T1^7*T2^5 + 3198*T1^8*T2^5 - 3101*T1^9*T2^5 - 505*T1^10*T2^5 + 
      266*T1^11*T2^5 - 213*T1^12*T2^5 - 300*T1^13*T2^5 + 189*T2^6 + 
      501*T1*T2^6 - 12*T1^2*T2^6 - 505*T1^3*T2^6 + 4250*T1^4*T2^6 - 
      1700*T1^5*T2^6 - 210*T1^6*T2^6 + 2028*T1^7*T2^6 - 210*T1^8*T2^6 - 
      1700*T1^9*T2^6 + 4250*T1^10*T2^6 - 505*T1^11*T2^6 - 12*T1^12*T2^6 + 
      501*T1^13*T2^6 + 189*T1^14*T2^6 - 75*T2^7 - 510*T1*T2^7 - 
      456*T1^2*T2^7 + 960*T1^3*T2^7 - 3101*T1^4*T2^7 - 1700*T1^5*T2^7 + 
      2028*T1^6*T2^7 - 1594*T1^7*T2^7 - 1594*T1^8*T2^7 + 2028*T1^9*T2^7 - 
      1700*T1^10*T2^7 - 3101*T1^11*T2^7 + 960*T1^12*T2^7 - 456*T1^13*T2^7 - 
      510*T1^14*T2^7 - 75*T1^15*T2^7 + 17*T2^8 + 258*T1*T2^8 + 
      836*T1^2*T2^8 - 758*T1^3*T2^8 + 1184*T1^4*T2^8 + 3198*T1^5*T2^8 - 
      210*T1^6*T2^8 - 1594*T1^7*T2^8 + 3732*T1^8*T2^8 - 1594*T1^9*T2^8 - 
      210*T1^10*T2^8 + 3198*T1^11*T2^8 + 1184*T1^12*T2^8 - 758*T1^13*T2^8 + 
      836*T1^14*T2^8 + 258*T1^15*T2^8 + 17*T1^16*T2^8 - 75*T1*T2^9 - 
      510*T1^2*T2^9 - 456*T1^3*T2^9 + 960*T1^4*T2^9 - 3101*T1^5*T2^9 - 
      1700*T1^6*T2^9 + 2028*T1^7*T2^9 - 1594*T1^8*T2^9 - 1594*T1^9*T2^9 + 
      2028*T1^10*T2^9 - 1700*T1^11*T2^9 - 3101*T1^12*T2^9 + 960*T1^13*T2^9 - 
      456*T1^14*T2^9 - 510*T1^15*T2^9 - 75*T1^16*T2^9 + 189*T1^2*T2^10 + 
      501*T1^3*T2^10 - 12*T1^4*T2^10 - 505*T1^5*T2^10 + 4250*T1^6*T2^10 - 
      1700*T1^7*T2^10 - 210*T1^8*T2^10 + 2028*T1^9*T2^10 - 210*T1^10*T2^10 - 
      1700*T1^11*T2^10 + 4250*T1^12*T2^10 - 505*T1^13*T2^10 - 
      12*T1^14*T2^10 + 501*T1^15*T2^10 + 189*T1^16*T2^10 - 300*T1^3*T2^11 - 
      213*T1^4*T2^11 + 266*T1^5*T2^11 - 505*T1^6*T2^11 - 3101*T1^7*T2^11 + 
      3198*T1^8*T2^11 - 1700*T1^9*T2^11 - 1700*T1^10*T2^11 + 
      3198*T1^11*T2^11 - 3101*T1^12*T2^11 - 505*T1^13*T2^11 + 
      266*T1^14*T2^11 - 213*T1^15*T2^11 - 300*T1^16*T2^11 + 347*T1^4*T2^12 - 
      213*T1^5*T2^12 - 12*T1^6*T2^12 + 960*T1^7*T2^12 + 1184*T1^8*T2^12 - 
      3101*T1^9*T2^12 + 4250*T1^10*T2^12 - 3101*T1^11*T2^12 + 
      1184*T1^12*T2^12 + 960*T1^13*T2^12 - 12*T1^14*T2^12 - 213*T1^15*T2^12 + 
      347*T1^16*T2^12 - 300*T1^5*T2^13 + 501*T1^6*T2^13 - 456*T1^7*T2^13 - 
      758*T1^8*T2^13 + 960*T1^9*T2^13 - 505*T1^10*T2^13 - 505*T1^11*T2^13 + 
      960*T1^12*T2^13 - 758*T1^13*T2^13 - 456*T1^14*T2^13 + 501*T1^15*T2^13 - 
      300*T1^16*T2^13 + 189*T1^6*T2^14 - 510*T1^7*T2^14 + 836*T1^8*T2^14 - 
      456*T1^9*T2^14 - 12*T1^10*T2^14 + 266*T1^11*T2^14 - 12*T1^12*T2^14 - 
      456*T1^13*T2^14 + 836*T1^14*T2^14 - 510*T1^15*T2^14 + 189*T1^16*T2^14 - 
      75*T1^7*T2^15 + 258*T1^8*T2^15 - 510*T1^9*T2^15 + 501*T1^10*T2^15 - 
      213*T1^11*T2^15 - 213*T1^12*T2^15 + 501*T1^13*T2^15 - 510*T1^14*T2^15 + 
      258*T1^15*T2^15 - 75*T1^16*T2^15 + 17*T1^8*T2^16 - 75*T1^9*T2^16 + 
      189*T1^10*T2^16 - 300*T1^11*T2^16 + 347*T1^12*T2^16 - 300*T1^13*T2^16 + 
      189*T1^14*T2^16 - 75*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 42] -> 
  {(3 - 13*T + 30*T^2 - 39*T^3 + 30*T^4 - 13*T^5 + 3*T^6)/T^3, 
   -((36 - 152*T1 + 348*T1^2 - 450*T1^3 + 348*T1^4 - 152*T1^5 + 36*T1^6 - 
      152*T2 + 492*T1*T2 - 832*T1^2*T2 + 434*T1^3*T2 + 434*T1^4*T2 - 
      832*T1^5*T2 + 492*T1^6*T2 - 152*T1^7*T2 + 348*T2^2 - 832*T1*T2^2 + 
      991*T1^2*T2^2 + 441*T1^3*T2^2 - 1395*T1^4*T2^2 + 441*T1^5*T2^2 + 
      991*T1^6*T2^2 - 832*T1^7*T2^2 + 348*T1^8*T2^2 - 450*T2^3 + 
      434*T1*T2^3 + 441*T1^2*T2^3 - 2952*T1^3*T2^3 + 1823*T1^4*T2^3 + 
      1823*T1^5*T2^3 - 2952*T1^6*T2^3 + 441*T1^7*T2^3 + 434*T1^8*T2^3 - 
      450*T1^9*T2^3 + 348*T2^4 + 434*T1*T2^4 - 1395*T1^2*T2^4 + 
      1823*T1^3*T2^4 + 4454*T1^4*T2^4 - 8500*T1^5*T2^4 + 4454*T1^6*T2^4 + 
      1823*T1^7*T2^4 - 1395*T1^8*T2^4 + 434*T1^9*T2^4 + 348*T1^10*T2^4 - 
      152*T2^5 - 832*T1*T2^5 + 441*T1^2*T2^5 + 1823*T1^3*T2^5 - 
      8500*T1^4*T2^5 + 5100*T1^5*T2^5 + 5100*T1^6*T2^5 - 8500*T1^7*T2^5 + 
      1823*T1^8*T2^5 + 441*T1^9*T2^5 - 832*T1^10*T2^5 - 152*T1^11*T2^5 + 
      36*T2^6 + 492*T1*T2^6 + 991*T1^2*T2^6 - 2952*T1^3*T2^6 + 
      4454*T1^4*T2^6 + 5100*T1^5*T2^6 - 11400*T1^6*T2^6 + 5100*T1^7*T2^6 + 
      4454*T1^8*T2^6 - 2952*T1^9*T2^6 + 991*T1^10*T2^6 + 492*T1^11*T2^6 + 
      36*T1^12*T2^6 - 152*T1*T2^7 - 832*T1^2*T2^7 + 441*T1^3*T2^7 + 
      1823*T1^4*T2^7 - 8500*T1^5*T2^7 + 5100*T1^6*T2^7 + 5100*T1^7*T2^7 - 
      8500*T1^8*T2^7 + 1823*T1^9*T2^7 + 441*T1^10*T2^7 - 832*T1^11*T2^7 - 
      152*T1^12*T2^7 + 348*T1^2*T2^8 + 434*T1^3*T2^8 - 1395*T1^4*T2^8 + 
      1823*T1^5*T2^8 + 4454*T1^6*T2^8 - 8500*T1^7*T2^8 + 4454*T1^8*T2^8 + 
      1823*T1^9*T2^8 - 1395*T1^10*T2^8 + 434*T1^11*T2^8 + 348*T1^12*T2^8 - 
      450*T1^3*T2^9 + 434*T1^4*T2^9 + 441*T1^5*T2^9 - 2952*T1^6*T2^9 + 
      1823*T1^7*T2^9 + 1823*T1^8*T2^9 - 2952*T1^9*T2^9 + 441*T1^10*T2^9 + 
      434*T1^11*T2^9 - 450*T1^12*T2^9 + 348*T1^4*T2^10 - 832*T1^5*T2^10 + 
      991*T1^6*T2^10 + 441*T1^7*T2^10 - 1395*T1^8*T2^10 + 441*T1^9*T2^10 + 
      991*T1^10*T2^10 - 832*T1^11*T2^10 + 348*T1^12*T2^10 - 152*T1^5*T2^11 + 
      492*T1^6*T2^11 - 832*T1^7*T2^11 + 434*T1^8*T2^11 + 434*T1^9*T2^11 - 
      832*T1^10*T2^11 + 492*T1^11*T2^11 - 152*T1^12*T2^11 + 36*T1^6*T2^12 - 
      152*T1^7*T2^12 + 348*T1^8*T2^12 - 450*T1^9*T2^12 + 348*T1^10*T2^12 - 
      152*T1^11*T2^12 + 36*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 43] -> 
  {((2 - 3*T + 2*T^2)*(3 - 7*T + 9*T^2 - 7*T^3 + 3*T^4))/T^3, 
   (699 - 2617*T1 + 5055*T1^2 - 6145*T1^3 + 5055*T1^4 - 2617*T1^5 + 
     699*T1^6 - 2617*T2 + 7240*T1*T2 - 9252*T1^2*T2 + 4156*T1^3*T2 + 
     4156*T1^4*T2 - 9252*T1^5*T2 + 7240*T1^6*T2 - 2617*T1^7*T2 + 5055*T2^2 - 
     9252*T1*T2^2 + 4670*T1^2*T2^2 + 8751*T1^3*T2^2 - 14950*T1^4*T2^2 + 
     8751*T1^5*T2^2 + 4670*T1^6*T2^2 - 9252*T1^7*T2^2 + 5055*T1^8*T2^2 - 
     6145*T2^3 + 4156*T1*T2^3 + 8751*T1^2*T2^3 - 20732*T1^3*T2^3 + 
     9682*T1^4*T2^3 + 9682*T1^5*T2^3 - 20732*T1^6*T2^3 + 8751*T1^7*T2^3 + 
     4156*T1^8*T2^3 - 6145*T1^9*T2^3 + 5055*T2^4 + 4156*T1*T2^4 - 
     14950*T1^2*T2^4 + 9682*T1^3*T2^4 + 19544*T1^4*T2^4 - 31476*T1^5*T2^4 + 
     19544*T1^6*T2^4 + 9682*T1^7*T2^4 - 14950*T1^8*T2^4 + 4156*T1^9*T2^4 + 
     5055*T1^10*T2^4 - 2617*T2^5 - 9252*T1*T2^5 + 8751*T1^2*T2^5 + 
     9682*T1^3*T2^5 - 31476*T1^4*T2^5 + 14042*T1^5*T2^5 + 14042*T1^6*T2^5 - 
     31476*T1^7*T2^5 + 9682*T1^8*T2^5 + 8751*T1^9*T2^5 - 9252*T1^10*T2^5 - 
     2617*T1^11*T2^5 + 699*T2^6 + 7240*T1*T2^6 + 4670*T1^2*T2^6 - 
     20732*T1^3*T2^6 + 19544*T1^4*T2^6 + 14042*T1^5*T2^6 - 26652*T1^6*T2^6 + 
     14042*T1^7*T2^6 + 19544*T1^8*T2^6 - 20732*T1^9*T2^6 + 4670*T1^10*T2^6 + 
     7240*T1^11*T2^6 + 699*T1^12*T2^6 - 2617*T1*T2^7 - 9252*T1^2*T2^7 + 
     8751*T1^3*T2^7 + 9682*T1^4*T2^7 - 31476*T1^5*T2^7 + 14042*T1^6*T2^7 + 
     14042*T1^7*T2^7 - 31476*T1^8*T2^7 + 9682*T1^9*T2^7 + 8751*T1^10*T2^7 - 
     9252*T1^11*T2^7 - 2617*T1^12*T2^7 + 5055*T1^2*T2^8 + 4156*T1^3*T2^8 - 
     14950*T1^4*T2^8 + 9682*T1^5*T2^8 + 19544*T1^6*T2^8 - 31476*T1^7*T2^8 + 
     19544*T1^8*T2^8 + 9682*T1^9*T2^8 - 14950*T1^10*T2^8 + 4156*T1^11*T2^8 + 
     5055*T1^12*T2^8 - 6145*T1^3*T2^9 + 4156*T1^4*T2^9 + 8751*T1^5*T2^9 - 
     20732*T1^6*T2^9 + 9682*T1^7*T2^9 + 9682*T1^8*T2^9 - 20732*T1^9*T2^9 + 
     8751*T1^10*T2^9 + 4156*T1^11*T2^9 - 6145*T1^12*T2^9 + 5055*T1^4*T2^10 - 
     9252*T1^5*T2^10 + 4670*T1^6*T2^10 + 8751*T1^7*T2^10 - 14950*T1^8*T2^10 + 
     8751*T1^9*T2^10 + 4670*T1^10*T2^10 - 9252*T1^11*T2^10 + 
     5055*T1^12*T2^10 - 2617*T1^5*T2^11 + 7240*T1^6*T2^11 - 9252*T1^7*T2^11 + 
     4156*T1^8*T2^11 + 4156*T1^9*T2^11 - 9252*T1^10*T2^11 + 
     7240*T1^11*T2^11 - 2617*T1^12*T2^11 + 699*T1^6*T2^12 - 2617*T1^7*T2^12 + 
     5055*T1^8*T2^12 - 6145*T1^9*T2^12 + 5055*T1^10*T2^12 - 
     2617*T1^11*T2^12 + 699*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 44] -> 
  {-(((2 - 3*T + 2*T^2)*(2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4))/T^3), 
   -((132 - 724*T1 + 1635*T1^2 - 2124*T1^3 + 1635*T1^4 - 724*T1^5 + 
      132*T1^6 - 724*T2 + 3254*T1*T2 - 5020*T1^2*T2 + 2694*T1^3*T2 + 
      2694*T1^4*T2 - 5020*T1^5*T2 + 3254*T1^6*T2 - 724*T1^7*T2 + 1635*T2^2 - 
      5020*T1*T2^2 + 175*T1^2*T2^2 + 13999*T1^3*T2^2 - 23545*T1^4*T2^2 + 
      13999*T1^5*T2^2 + 175*T1^6*T2^2 - 5020*T1^7*T2^2 + 1635*T1^8*T2^2 - 
      2124*T2^3 + 2694*T1*T2^3 + 13999*T1^2*T2^3 - 30584*T1^3*T2^3 + 
      18908*T1^4*T2^3 + 18908*T1^5*T2^3 - 30584*T1^6*T2^3 + 13999*T1^7*T2^3 + 
      2694*T1^8*T2^3 - 2124*T1^9*T2^3 + 1635*T2^4 + 2694*T1*T2^4 - 
      23545*T1^2*T2^4 + 18908*T1^3*T2^4 + 23823*T1^4*T2^4 - 58809*T1^5*T2^4 + 
      23823*T1^6*T2^4 + 18908*T1^7*T2^4 - 23545*T1^8*T2^4 + 2694*T1^9*T2^4 + 
      1635*T1^10*T2^4 - 724*T2^5 - 5020*T1*T2^5 + 13999*T1^2*T2^5 + 
      18908*T1^3*T2^5 - 58809*T1^4*T2^5 + 40484*T1^5*T2^5 + 40484*T1^6*T2^5 - 
      58809*T1^7*T2^5 + 18908*T1^8*T2^5 + 13999*T1^9*T2^5 - 5020*T1^10*T2^5 - 
      724*T1^11*T2^5 + 132*T2^6 + 3254*T1*T2^6 + 175*T1^2*T2^6 - 
      30584*T1^3*T2^6 + 23823*T1^4*T2^6 + 40484*T1^5*T2^6 - 94740*T1^6*T2^6 + 
      40484*T1^7*T2^6 + 23823*T1^8*T2^6 - 30584*T1^9*T2^6 + 175*T1^10*T2^6 + 
      3254*T1^11*T2^6 + 132*T1^12*T2^6 - 724*T1*T2^7 - 5020*T1^2*T2^7 + 
      13999*T1^3*T2^7 + 18908*T1^4*T2^7 - 58809*T1^5*T2^7 + 40484*T1^6*T2^7 + 
      40484*T1^7*T2^7 - 58809*T1^8*T2^7 + 18908*T1^9*T2^7 + 
      13999*T1^10*T2^7 - 5020*T1^11*T2^7 - 724*T1^12*T2^7 + 1635*T1^2*T2^8 + 
      2694*T1^3*T2^8 - 23545*T1^4*T2^8 + 18908*T1^5*T2^8 + 23823*T1^6*T2^8 - 
      58809*T1^7*T2^8 + 23823*T1^8*T2^8 + 18908*T1^9*T2^8 - 
      23545*T1^10*T2^8 + 2694*T1^11*T2^8 + 1635*T1^12*T2^8 - 2124*T1^3*T2^9 + 
      2694*T1^4*T2^9 + 13999*T1^5*T2^9 - 30584*T1^6*T2^9 + 18908*T1^7*T2^9 + 
      18908*T1^8*T2^9 - 30584*T1^9*T2^9 + 13999*T1^10*T2^9 + 
      2694*T1^11*T2^9 - 2124*T1^12*T2^9 + 1635*T1^4*T2^10 - 5020*T1^5*T2^10 + 
      175*T1^6*T2^10 + 13999*T1^7*T2^10 - 23545*T1^8*T2^10 + 
      13999*T1^9*T2^10 + 175*T1^10*T2^10 - 5020*T1^11*T2^10 + 
      1635*T1^12*T2^10 - 724*T1^5*T2^11 + 3254*T1^6*T2^11 - 5020*T1^7*T2^11 + 
      2694*T1^8*T2^11 + 2694*T1^9*T2^11 - 5020*T1^10*T2^11 + 
      3254*T1^11*T2^11 - 724*T1^12*T2^11 + 132*T1^6*T2^12 - 724*T1^7*T2^12 + 
      1635*T1^8*T2^12 - 2124*T1^9*T2^12 + 1635*T1^10*T2^12 - 
      724*T1^11*T2^12 + 132*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), (1 - 8*T1 + 22*T1^2 - 37*T1^3 + 43*T1^4 - 37*T1^5 + 22*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 112*T1^2*T2 + 120*T1^3*T2 - 
     48*T1^4*T2 - 48*T1^5*T2 + 120*T1^6*T2 - 112*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 22*T2^2 - 112*T1*T2^2 - 4*T1^2*T2^2 + 409*T1^3*T2^2 - 
     914*T1^4*T2^2 + 1092*T1^5*T2^2 - 914*T1^6*T2^2 + 409*T1^7*T2^2 - 
     4*T1^8*T2^2 - 112*T1^9*T2^2 + 22*T1^10*T2^2 - 37*T2^3 + 120*T1*T2^3 + 
     409*T1^2*T2^3 - 1134*T1^3*T2^3 + 1357*T1^4*T2^3 - 516*T1^5*T2^3 - 
     516*T1^6*T2^3 + 1357*T1^7*T2^3 - 1134*T1^8*T2^3 + 409*T1^9*T2^3 + 
     120*T1^10*T2^3 - 37*T1^11*T2^3 + 43*T2^4 - 48*T1*T2^4 - 914*T1^2*T2^4 + 
     1357*T1^3*T2^4 - 600*T1^4*T2^4 - 1199*T1^5*T2^4 + 1726*T1^6*T2^4 - 
     1199*T1^7*T2^4 - 600*T1^8*T2^4 + 1357*T1^9*T2^4 - 914*T1^10*T2^4 - 
     48*T1^11*T2^4 + 43*T1^12*T2^4 - 37*T2^5 - 48*T1*T2^5 + 1092*T1^2*T2^5 - 
     516*T1^3*T2^5 - 1199*T1^4*T2^5 + 2670*T1^5*T2^5 - 1052*T1^6*T2^5 - 
     1052*T1^7*T2^5 + 2670*T1^8*T2^5 - 1199*T1^9*T2^5 - 516*T1^10*T2^5 + 
     1092*T1^11*T2^5 - 48*T1^12*T2^5 - 37*T1^13*T2^5 + 22*T2^6 + 
     120*T1*T2^6 - 914*T1^2*T2^6 - 516*T1^3*T2^6 + 1726*T1^4*T2^6 - 
     1052*T1^5*T2^6 - 2647*T1^6*T2^6 + 3911*T1^7*T2^6 - 2647*T1^8*T2^6 - 
     1052*T1^9*T2^6 + 1726*T1^10*T2^6 - 516*T1^11*T2^6 - 914*T1^12*T2^6 + 
     120*T1^13*T2^6 + 22*T1^14*T2^6 - 8*T2^7 - 112*T1*T2^7 + 409*T1^2*T2^7 + 
     1357*T1^3*T2^7 - 1199*T1^4*T2^7 - 1052*T1^5*T2^7 + 3911*T1^6*T2^7 - 
     1738*T1^7*T2^7 - 1738*T1^8*T2^7 + 3911*T1^9*T2^7 - 1052*T1^10*T2^7 - 
     1199*T1^11*T2^7 + 1357*T1^12*T2^7 + 409*T1^13*T2^7 - 112*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 - 4*T1^2*T2^8 - 1134*T1^3*T2^8 - 
     600*T1^4*T2^8 + 2670*T1^5*T2^8 - 2647*T1^6*T2^8 - 1738*T1^7*T2^8 + 
     3480*T1^8*T2^8 - 1738*T1^9*T2^8 - 2647*T1^10*T2^8 + 2670*T1^11*T2^8 - 
     600*T1^12*T2^8 - 1134*T1^13*T2^8 - 4*T1^14*T2^8 + 56*T1^15*T2^8 + 
     T1^16*T2^8 - 8*T1*T2^9 - 112*T1^2*T2^9 + 409*T1^3*T2^9 + 
     1357*T1^4*T2^9 - 1199*T1^5*T2^9 - 1052*T1^6*T2^9 + 3911*T1^7*T2^9 - 
     1738*T1^8*T2^9 - 1738*T1^9*T2^9 + 3911*T1^10*T2^9 - 1052*T1^11*T2^9 - 
     1199*T1^12*T2^9 + 1357*T1^13*T2^9 + 409*T1^14*T2^9 - 112*T1^15*T2^9 - 
     8*T1^16*T2^9 + 22*T1^2*T2^10 + 120*T1^3*T2^10 - 914*T1^4*T2^10 - 
     516*T1^5*T2^10 + 1726*T1^6*T2^10 - 1052*T1^7*T2^10 - 2647*T1^8*T2^10 + 
     3911*T1^9*T2^10 - 2647*T1^10*T2^10 - 1052*T1^11*T2^10 + 
     1726*T1^12*T2^10 - 516*T1^13*T2^10 - 914*T1^14*T2^10 + 120*T1^15*T2^10 + 
     22*T1^16*T2^10 - 37*T1^3*T2^11 - 48*T1^4*T2^11 + 1092*T1^5*T2^11 - 
     516*T1^6*T2^11 - 1199*T1^7*T2^11 + 2670*T1^8*T2^11 - 1052*T1^9*T2^11 - 
     1052*T1^10*T2^11 + 2670*T1^11*T2^11 - 1199*T1^12*T2^11 - 
     516*T1^13*T2^11 + 1092*T1^14*T2^11 - 48*T1^15*T2^11 - 37*T1^16*T2^11 + 
     43*T1^4*T2^12 - 48*T1^5*T2^12 - 914*T1^6*T2^12 + 1357*T1^7*T2^12 - 
     600*T1^8*T2^12 - 1199*T1^9*T2^12 + 1726*T1^10*T2^12 - 1199*T1^11*T2^12 - 
     600*T1^12*T2^12 + 1357*T1^13*T2^12 - 914*T1^14*T2^12 - 48*T1^15*T2^12 + 
     43*T1^16*T2^12 - 37*T1^5*T2^13 + 120*T1^6*T2^13 + 409*T1^7*T2^13 - 
     1134*T1^8*T2^13 + 1357*T1^9*T2^13 - 516*T1^10*T2^13 - 516*T1^11*T2^13 + 
     1357*T1^12*T2^13 - 1134*T1^13*T2^13 + 409*T1^14*T2^13 + 
     120*T1^15*T2^13 - 37*T1^16*T2^13 + 22*T1^6*T2^14 - 112*T1^7*T2^14 - 
     4*T1^8*T2^14 + 409*T1^9*T2^14 - 914*T1^10*T2^14 + 1092*T1^11*T2^14 - 
     914*T1^12*T2^14 + 409*T1^13*T2^14 - 4*T1^14*T2^14 - 112*T1^15*T2^14 + 
     22*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 112*T1^9*T2^15 + 
     120*T1^10*T2^15 - 48*T1^11*T2^15 - 48*T1^12*T2^15 + 120*T1^13*T2^15 - 
     112*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
     8*T1^9*T2^16 + 22*T1^10*T2^16 - 37*T1^11*T2^16 + 43*T1^12*T2^16 - 
     37*T1^13*T2^16 + 22*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 46] -> 
  {-(((2 - 3*T + 2*T^2)*(1 - 6*T + 9*T^2 - 6*T^3 + T^4))/T^3), 
   (1 - 8*T1 + 20*T1^2 - 27*T1^3 + 20*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
     56*T1*T2 - 96*T1^2*T2 + 56*T1^3*T2 + 56*T1^4*T2 - 96*T1^5*T2 + 
     56*T1^6*T2 - 8*T1^7*T2 + 20*T2^2 - 96*T1*T2^2 - 123*T1^2*T2^2 + 
     681*T1^3*T2^2 - 1073*T1^4*T2^2 + 681*T1^5*T2^2 - 123*T1^6*T2^2 - 
     96*T1^7*T2^2 + 20*T1^8*T2^2 - 27*T2^3 + 56*T1*T2^3 + 681*T1^2*T2^3 - 
     1418*T1^3*T2^3 + 919*T1^4*T2^3 + 919*T1^5*T2^3 - 1418*T1^6*T2^3 + 
     681*T1^7*T2^3 + 56*T1^8*T2^3 - 27*T1^9*T2^3 + 20*T2^4 + 56*T1*T2^4 - 
     1073*T1^2*T2^4 + 919*T1^3*T2^4 + 870*T1^4*T2^4 - 2644*T1^5*T2^4 + 
     870*T1^6*T2^4 + 919*T1^7*T2^4 - 1073*T1^8*T2^4 + 56*T1^9*T2^4 + 
     20*T1^10*T2^4 - 8*T2^5 - 96*T1*T2^5 + 681*T1^2*T2^5 + 919*T1^3*T2^5 - 
     2644*T1^4*T2^5 + 2056*T1^5*T2^5 + 2056*T1^6*T2^5 - 2644*T1^7*T2^5 + 
     919*T1^8*T2^5 + 681*T1^9*T2^5 - 96*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
     56*T1*T2^6 - 123*T1^2*T2^6 - 1418*T1^3*T2^6 + 870*T1^4*T2^6 + 
     2056*T1^5*T2^6 - 5052*T1^6*T2^6 + 2056*T1^7*T2^6 + 870*T1^8*T2^6 - 
     1418*T1^9*T2^6 - 123*T1^10*T2^6 + 56*T1^11*T2^6 + T1^12*T2^6 - 
     8*T1*T2^7 - 96*T1^2*T2^7 + 681*T1^3*T2^7 + 919*T1^4*T2^7 - 
     2644*T1^5*T2^7 + 2056*T1^6*T2^7 + 2056*T1^7*T2^7 - 2644*T1^8*T2^7 + 
     919*T1^9*T2^7 + 681*T1^10*T2^7 - 96*T1^11*T2^7 - 8*T1^12*T2^7 + 
     20*T1^2*T2^8 + 56*T1^3*T2^8 - 1073*T1^4*T2^8 + 919*T1^5*T2^8 + 
     870*T1^6*T2^8 - 2644*T1^7*T2^8 + 870*T1^8*T2^8 + 919*T1^9*T2^8 - 
     1073*T1^10*T2^8 + 56*T1^11*T2^8 + 20*T1^12*T2^8 - 27*T1^3*T2^9 + 
     56*T1^4*T2^9 + 681*T1^5*T2^9 - 1418*T1^6*T2^9 + 919*T1^7*T2^9 + 
     919*T1^8*T2^9 - 1418*T1^9*T2^9 + 681*T1^10*T2^9 + 56*T1^11*T2^9 - 
     27*T1^12*T2^9 + 20*T1^4*T2^10 - 96*T1^5*T2^10 - 123*T1^6*T2^10 + 
     681*T1^7*T2^10 - 1073*T1^8*T2^10 + 681*T1^9*T2^10 - 123*T1^10*T2^10 - 
     96*T1^11*T2^10 + 20*T1^12*T2^10 - 8*T1^5*T2^11 + 56*T1^6*T2^11 - 
     96*T1^7*T2^11 + 56*T1^8*T2^11 + 56*T1^9*T2^11 - 96*T1^10*T2^11 + 
     56*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
     20*T1^8*T2^12 - 27*T1^9*T2^12 + 20*T1^10*T2^12 - 8*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 47] -> 
  {-((3 - 19*T + 45*T^2 - 59*T^3 + 45*T^4 - 19*T^5 + 3*T^6)/T^3), 
   -((57 - 359*T1 + 843*T1^2 - 1103*T1^3 + 843*T1^4 - 359*T1^5 + 57*T1^6 - 
      359*T2 + 1904*T1*T2 - 3057*T1^2*T2 + 1643*T1^3*T2 + 1643*T1^4*T2 - 
      3057*T1^5*T2 + 1904*T1^6*T2 - 359*T1^7*T2 + 843*T2^2 - 3057*T1*T2^2 - 
      836*T1^2*T2^2 + 11682*T1^3*T2^2 - 18666*T1^4*T2^2 + 11682*T1^5*T2^2 - 
      836*T1^6*T2^2 - 3057*T1^7*T2^2 + 843*T1^8*T2^2 - 1103*T2^3 + 
      1643*T1*T2^3 + 11682*T1^2*T2^3 - 24952*T1^3*T2^3 + 14930*T1^4*T2^3 + 
      14930*T1^5*T2^3 - 24952*T1^6*T2^3 + 11682*T1^7*T2^3 + 1643*T1^8*T2^3 - 
      1103*T1^9*T2^3 + 843*T2^4 + 1643*T1*T2^4 - 18666*T1^2*T2^4 + 
      14930*T1^3*T2^4 + 20860*T1^4*T2^4 - 48528*T1^5*T2^4 + 20860*T1^6*T2^4 + 
      14930*T1^7*T2^4 - 18666*T1^8*T2^4 + 1643*T1^9*T2^4 + 843*T1^10*T2^4 - 
      359*T2^5 - 3057*T1*T2^5 + 11682*T1^2*T2^5 + 14930*T1^3*T2^5 - 
      48528*T1^4*T2^5 + 32458*T1^5*T2^5 + 32458*T1^6*T2^5 - 48528*T1^7*T2^5 + 
      14930*T1^8*T2^5 + 11682*T1^9*T2^5 - 3057*T1^10*T2^5 - 359*T1^11*T2^5 + 
      57*T2^6 + 1904*T1*T2^6 - 836*T1^2*T2^6 - 24952*T1^3*T2^6 + 
      20860*T1^4*T2^6 + 32458*T1^5*T2^6 - 75348*T1^6*T2^6 + 32458*T1^7*T2^6 + 
      20860*T1^8*T2^6 - 24952*T1^9*T2^6 - 836*T1^10*T2^6 + 1904*T1^11*T2^6 + 
      57*T1^12*T2^6 - 359*T1*T2^7 - 3057*T1^2*T2^7 + 11682*T1^3*T2^7 + 
      14930*T1^4*T2^7 - 48528*T1^5*T2^7 + 32458*T1^6*T2^7 + 32458*T1^7*T2^7 - 
      48528*T1^8*T2^7 + 14930*T1^9*T2^7 + 11682*T1^10*T2^7 - 
      3057*T1^11*T2^7 - 359*T1^12*T2^7 + 843*T1^2*T2^8 + 1643*T1^3*T2^8 - 
      18666*T1^4*T2^8 + 14930*T1^5*T2^8 + 20860*T1^6*T2^8 - 48528*T1^7*T2^8 + 
      20860*T1^8*T2^8 + 14930*T1^9*T2^8 - 18666*T1^10*T2^8 + 
      1643*T1^11*T2^8 + 843*T1^12*T2^8 - 1103*T1^3*T2^9 + 1643*T1^4*T2^9 + 
      11682*T1^5*T2^9 - 24952*T1^6*T2^9 + 14930*T1^7*T2^9 + 14930*T1^8*T2^9 - 
      24952*T1^9*T2^9 + 11682*T1^10*T2^9 + 1643*T1^11*T2^9 - 
      1103*T1^12*T2^9 + 843*T1^4*T2^10 - 3057*T1^5*T2^10 - 836*T1^6*T2^10 + 
      11682*T1^7*T2^10 - 18666*T1^8*T2^10 + 11682*T1^9*T2^10 - 
      836*T1^10*T2^10 - 3057*T1^11*T2^10 + 843*T1^12*T2^10 - 359*T1^5*T2^11 + 
      1904*T1^6*T2^11 - 3057*T1^7*T2^11 + 1643*T1^8*T2^11 + 1643*T1^9*T2^11 - 
      3057*T1^10*T2^11 + 1904*T1^11*T2^11 - 359*T1^12*T2^11 + 57*T1^6*T2^12 - 
      359*T1^7*T2^12 + 843*T1^8*T2^12 - 1103*T1^9*T2^12 + 843*T1^10*T2^12 - 
      359*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   (2*T1^2 - 4*T1^3 + 2*T1^4 - 12*T1^2*T2 + 11*T1^3*T2 + 11*T1^4*T2 - 
     12*T1^5*T2 + 2*T2^2 - 12*T1*T2^2 + 67*T1^2*T2^2 - 66*T1^3*T2^2 + 
     35*T1^4*T2^2 - 66*T1^5*T2^2 + 67*T1^6*T2^2 - 12*T1^7*T2^2 + 
     2*T1^8*T2^2 - 4*T2^3 + 11*T1*T2^3 - 66*T1^2*T2^3 - 26*T1^3*T2^3 + 
     51*T1^4*T2^3 + 51*T1^5*T2^3 - 26*T1^6*T2^3 - 66*T1^7*T2^3 + 
     11*T1^8*T2^3 - 4*T1^9*T2^3 + 2*T2^4 + 11*T1*T2^4 + 35*T1^2*T2^4 + 
     51*T1^3*T2^4 + 148*T1^4*T2^4 - 326*T1^5*T2^4 + 148*T1^6*T2^4 + 
     51*T1^7*T2^4 + 35*T1^8*T2^4 + 11*T1^9*T2^4 + 2*T1^10*T2^4 - 12*T1*T2^5 - 
     66*T1^2*T2^5 + 51*T1^3*T2^5 - 326*T1^4*T2^5 + 214*T1^5*T2^5 + 
     214*T1^6*T2^5 - 326*T1^7*T2^5 + 51*T1^8*T2^5 - 66*T1^9*T2^5 - 
     12*T1^10*T2^5 + 67*T1^2*T2^6 - 26*T1^3*T2^6 + 148*T1^4*T2^6 + 
     214*T1^5*T2^6 - 480*T1^6*T2^6 + 214*T1^7*T2^6 + 148*T1^8*T2^6 - 
     26*T1^9*T2^6 + 67*T1^10*T2^6 - 12*T1^2*T2^7 - 66*T1^3*T2^7 + 
     51*T1^4*T2^7 - 326*T1^5*T2^7 + 214*T1^6*T2^7 + 214*T1^7*T2^7 - 
     326*T1^8*T2^7 + 51*T1^9*T2^7 - 66*T1^10*T2^7 - 12*T1^11*T2^7 + 
     2*T1^2*T2^8 + 11*T1^3*T2^8 + 35*T1^4*T2^8 + 51*T1^5*T2^8 + 
     148*T1^6*T2^8 - 326*T1^7*T2^8 + 148*T1^8*T2^8 + 51*T1^9*T2^8 + 
     35*T1^10*T2^8 + 11*T1^11*T2^8 + 2*T1^12*T2^8 - 4*T1^3*T2^9 + 
     11*T1^4*T2^9 - 66*T1^5*T2^9 - 26*T1^6*T2^9 + 51*T1^7*T2^9 + 
     51*T1^8*T2^9 - 26*T1^9*T2^9 - 66*T1^10*T2^9 + 11*T1^11*T2^9 - 
     4*T1^12*T2^9 + 2*T1^4*T2^10 - 12*T1^5*T2^10 + 67*T1^6*T2^10 - 
     66*T1^7*T2^10 + 35*T1^8*T2^10 - 66*T1^9*T2^10 + 67*T1^10*T2^10 - 
     12*T1^11*T2^10 + 2*T1^12*T2^10 - 12*T1^7*T2^11 + 11*T1^8*T2^11 + 
     11*T1^9*T2^11 - 12*T1^10*T2^11 + 2*T1^8*T2^12 - 4*T1^9*T2^12 + 
     2*T1^10*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 49] -> 
  {(5 - 23*T + 53*T^2 - 69*T^3 + 53*T^4 - 23*T^5 + 5*T^6)/T^3, 
   -((145 - 655*T1 + 1510*T1^2 - 1963*T1^3 + 1510*T1^4 - 655*T1^5 + 
      145*T1^6 - 655*T2 + 2310*T1*T2 - 3871*T1^2*T2 + 2053*T1^3*T2 + 
      2053*T1^4*T2 - 3871*T1^5*T2 + 2310*T1^6*T2 - 655*T1^7*T2 + 1510*T2^2 - 
      3871*T1*T2^2 + 3849*T1^2*T2^2 + 3600*T1^3*T2^2 - 8713*T1^4*T2^2 + 
      3600*T1^5*T2^2 + 3849*T1^6*T2^2 - 3871*T1^7*T2^2 + 1510*T1^8*T2^2 - 
      1963*T2^3 + 2053*T1*T2^3 + 3600*T1^2*T2^3 - 15640*T1^3*T2^3 + 
      9827*T1^4*T2^3 + 9827*T1^5*T2^3 - 15640*T1^6*T2^3 + 3600*T1^7*T2^3 + 
      2053*T1^8*T2^3 - 1963*T1^9*T2^3 + 1510*T2^4 + 2053*T1*T2^4 - 
      8713*T1^2*T2^4 + 9827*T1^3*T2^4 + 20513*T1^4*T2^4 - 41645*T1^5*T2^4 + 
      20513*T1^6*T2^4 + 9827*T1^7*T2^4 - 8713*T1^8*T2^4 + 2053*T1^9*T2^4 + 
      1510*T1^10*T2^4 - 655*T2^5 - 3871*T1*T2^5 + 3600*T1^2*T2^5 + 
      9827*T1^3*T2^5 - 41645*T1^4*T2^5 + 26098*T1^5*T2^5 + 26098*T1^6*T2^5 - 
      41645*T1^7*T2^5 + 9827*T1^8*T2^5 + 3600*T1^9*T2^5 - 3871*T1^10*T2^5 - 
      655*T1^11*T2^5 + 145*T2^6 + 2310*T1*T2^6 + 3849*T1^2*T2^6 - 
      15640*T1^3*T2^6 + 20513*T1^4*T2^6 + 26098*T1^5*T2^6 - 59292*T1^6*T2^6 + 
      26098*T1^7*T2^6 + 20513*T1^8*T2^6 - 15640*T1^9*T2^6 + 3849*T1^10*T2^6 + 
      2310*T1^11*T2^6 + 145*T1^12*T2^6 - 655*T1*T2^7 - 3871*T1^2*T2^7 + 
      3600*T1^3*T2^7 + 9827*T1^4*T2^7 - 41645*T1^5*T2^7 + 26098*T1^6*T2^7 + 
      26098*T1^7*T2^7 - 41645*T1^8*T2^7 + 9827*T1^9*T2^7 + 3600*T1^10*T2^7 - 
      3871*T1^11*T2^7 - 655*T1^12*T2^7 + 1510*T1^2*T2^8 + 2053*T1^3*T2^8 - 
      8713*T1^4*T2^8 + 9827*T1^5*T2^8 + 20513*T1^6*T2^8 - 41645*T1^7*T2^8 + 
      20513*T1^8*T2^8 + 9827*T1^9*T2^8 - 8713*T1^10*T2^8 + 2053*T1^11*T2^8 + 
      1510*T1^12*T2^8 - 1963*T1^3*T2^9 + 2053*T1^4*T2^9 + 3600*T1^5*T2^9 - 
      15640*T1^6*T2^9 + 9827*T1^7*T2^9 + 9827*T1^8*T2^9 - 15640*T1^9*T2^9 + 
      3600*T1^10*T2^9 + 2053*T1^11*T2^9 - 1963*T1^12*T2^9 + 1510*T1^4*T2^10 - 
      3871*T1^5*T2^10 + 3849*T1^6*T2^10 + 3600*T1^7*T2^10 - 8713*T1^8*T2^10 + 
      3600*T1^9*T2^10 + 3849*T1^10*T2^10 - 3871*T1^11*T2^10 + 
      1510*T1^12*T2^10 - 655*T1^5*T2^11 + 2310*T1^6*T2^11 - 3871*T1^7*T2^11 + 
      2053*T1^8*T2^11 + 2053*T1^9*T2^11 - 3871*T1^10*T2^11 + 
      2310*T1^11*T2^11 - 655*T1^12*T2^11 + 145*T1^6*T2^12 - 655*T1^7*T2^12 + 
      1510*T1^8*T2^12 - 1963*T1^9*T2^12 + 1510*T1^10*T2^12 - 
      655*T1^11*T2^12 + 145*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), (1 - 8*T1 + 20*T1^2 - 30*T1^3 + 33*T1^4 - 30*T1^5 + 20*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 96*T1^2*T2 + 80*T1^3*T2 - 24*T1^4*T2 - 
     24*T1^5*T2 + 80*T1^6*T2 - 96*T1^7*T2 + 56*T1^8*T2 - 8*T1^9*T2 + 
     20*T2^2 - 96*T1*T2^2 - 92*T1^2*T2^2 + 521*T1^3*T2^2 - 860*T1^4*T2^2 + 
     910*T1^5*T2^2 - 860*T1^6*T2^2 + 521*T1^7*T2^2 - 92*T1^8*T2^2 - 
     96*T1^9*T2^2 + 20*T1^10*T2^2 - 30*T2^3 + 80*T1*T2^3 + 521*T1^2*T2^3 - 
     1076*T1^3*T2^3 + 904*T1^4*T2^3 - 212*T1^5*T2^3 - 212*T1^6*T2^3 + 
     904*T1^7*T2^3 - 1076*T1^8*T2^3 + 521*T1^9*T2^3 + 80*T1^10*T2^3 - 
     30*T1^11*T2^3 + 33*T2^4 - 24*T1*T2^4 - 860*T1^2*T2^4 + 904*T1^3*T2^4 + 
     81*T1^4*T2^4 - 1047*T1^5*T2^4 + 951*T1^6*T2^4 - 1047*T1^7*T2^4 + 
     81*T1^8*T2^4 + 904*T1^9*T2^4 - 860*T1^10*T2^4 - 24*T1^11*T2^4 + 
     33*T1^12*T2^4 - 30*T2^5 - 24*T1*T2^5 + 910*T1^2*T2^5 - 212*T1^3*T2^5 - 
     1047*T1^4*T2^5 + 1422*T1^5*T2^5 - 290*T1^6*T2^5 - 290*T1^7*T2^5 + 
     1422*T1^8*T2^5 - 1047*T1^9*T2^5 - 212*T1^10*T2^5 + 910*T1^11*T2^5 - 
     24*T1^12*T2^5 - 30*T1^13*T2^5 + 20*T2^6 + 80*T1*T2^6 - 860*T1^2*T2^6 - 
     212*T1^3*T2^6 + 951*T1^4*T2^6 - 290*T1^5*T2^6 - 1511*T1^6*T2^6 + 
     1759*T1^7*T2^6 - 1511*T1^8*T2^6 - 290*T1^9*T2^6 + 951*T1^10*T2^6 - 
     212*T1^11*T2^6 - 860*T1^12*T2^6 + 80*T1^13*T2^6 + 20*T1^14*T2^6 - 
     8*T2^7 - 96*T1*T2^7 + 521*T1^2*T2^7 + 904*T1^3*T2^7 - 1047*T1^4*T2^7 - 
     290*T1^5*T2^7 + 1759*T1^6*T2^7 - 704*T1^7*T2^7 - 704*T1^8*T2^7 + 
     1759*T1^9*T2^7 - 290*T1^10*T2^7 - 1047*T1^11*T2^7 + 904*T1^12*T2^7 + 
     521*T1^13*T2^7 - 96*T1^14*T2^7 - 8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 - 
     92*T1^2*T2^8 - 1076*T1^3*T2^8 + 81*T1^4*T2^8 + 1422*T1^5*T2^8 - 
     1511*T1^6*T2^8 - 704*T1^7*T2^8 + 1524*T1^8*T2^8 - 704*T1^9*T2^8 - 
     1511*T1^10*T2^8 + 1422*T1^11*T2^8 + 81*T1^12*T2^8 - 1076*T1^13*T2^8 - 
     92*T1^14*T2^8 + 56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 96*T1^2*T2^9 + 
     521*T1^3*T2^9 + 904*T1^4*T2^9 - 1047*T1^5*T2^9 - 290*T1^6*T2^9 + 
     1759*T1^7*T2^9 - 704*T1^8*T2^9 - 704*T1^9*T2^9 + 1759*T1^10*T2^9 - 
     290*T1^11*T2^9 - 1047*T1^12*T2^9 + 904*T1^13*T2^9 + 521*T1^14*T2^9 - 
     96*T1^15*T2^9 - 8*T1^16*T2^9 + 20*T1^2*T2^10 + 80*T1^3*T2^10 - 
     860*T1^4*T2^10 - 212*T1^5*T2^10 + 951*T1^6*T2^10 - 290*T1^7*T2^10 - 
     1511*T1^8*T2^10 + 1759*T1^9*T2^10 - 1511*T1^10*T2^10 - 290*T1^11*T2^10 + 
     951*T1^12*T2^10 - 212*T1^13*T2^10 - 860*T1^14*T2^10 + 80*T1^15*T2^10 + 
     20*T1^16*T2^10 - 30*T1^3*T2^11 - 24*T1^4*T2^11 + 910*T1^5*T2^11 - 
     212*T1^6*T2^11 - 1047*T1^7*T2^11 + 1422*T1^8*T2^11 - 290*T1^9*T2^11 - 
     290*T1^10*T2^11 + 1422*T1^11*T2^11 - 1047*T1^12*T2^11 - 
     212*T1^13*T2^11 + 910*T1^14*T2^11 - 24*T1^15*T2^11 - 30*T1^16*T2^11 + 
     33*T1^4*T2^12 - 24*T1^5*T2^12 - 860*T1^6*T2^12 + 904*T1^7*T2^12 + 
     81*T1^8*T2^12 - 1047*T1^9*T2^12 + 951*T1^10*T2^12 - 1047*T1^11*T2^12 + 
     81*T1^12*T2^12 + 904*T1^13*T2^12 - 860*T1^14*T2^12 - 24*T1^15*T2^12 + 
     33*T1^16*T2^12 - 30*T1^5*T2^13 + 80*T1^6*T2^13 + 521*T1^7*T2^13 - 
     1076*T1^8*T2^13 + 904*T1^9*T2^13 - 212*T1^10*T2^13 - 212*T1^11*T2^13 + 
     904*T1^12*T2^13 - 1076*T1^13*T2^13 + 521*T1^14*T2^13 + 80*T1^15*T2^13 - 
     30*T1^16*T2^13 + 20*T1^6*T2^14 - 96*T1^7*T2^14 - 92*T1^8*T2^14 + 
     521*T1^9*T2^14 - 860*T1^10*T2^14 + 910*T1^11*T2^14 - 860*T1^12*T2^14 + 
     521*T1^13*T2^14 - 92*T1^14*T2^14 - 96*T1^15*T2^14 + 20*T1^16*T2^14 - 
     8*T1^7*T2^15 + 56*T1^8*T2^15 - 96*T1^9*T2^15 + 80*T1^10*T2^15 - 
     24*T1^11*T2^15 - 24*T1^12*T2^15 + 80*T1^13*T2^15 - 96*T1^14*T2^15 + 
     56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 8*T1^9*T2^16 + 
     20*T1^10*T2^16 - 30*T1^11*T2^16 + 33*T1^12*T2^16 - 30*T1^13*T2^16 + 
     20*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 51] -> 
  {-(((2 - 3*T + 2*T^2)*(1 - 7*T + 11*T^2 - 7*T^3 + T^4))/T^3), 
   (1 - 8*T1 + 20*T1^2 - 27*T1^3 + 20*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
     56*T1*T2 - 96*T1^2*T2 + 56*T1^3*T2 + 56*T1^4*T2 - 96*T1^5*T2 + 
     56*T1^6*T2 - 8*T1^7*T2 + 20*T2^2 - 96*T1*T2^2 - 108*T1^2*T2^2 + 
     643*T1^3*T2^2 - 1028*T1^4*T2^2 + 643*T1^5*T2^2 - 108*T1^6*T2^2 - 
     96*T1^7*T2^2 + 20*T1^8*T2^2 - 27*T2^3 + 56*T1*T2^3 + 643*T1^2*T2^3 - 
     1340*T1^3*T2^3 + 889*T1^4*T2^3 + 889*T1^5*T2^3 - 1340*T1^6*T2^3 + 
     643*T1^7*T2^3 + 56*T1^8*T2^3 - 27*T1^9*T2^3 + 20*T2^4 + 56*T1*T2^4 - 
     1028*T1^2*T2^4 + 889*T1^3*T2^4 + 579*T1^4*T2^4 - 2195*T1^5*T2^4 + 
     579*T1^6*T2^4 + 889*T1^7*T2^4 - 1028*T1^8*T2^4 + 56*T1^9*T2^4 + 
     20*T1^10*T2^4 - 8*T2^5 - 96*T1*T2^5 + 643*T1^2*T2^5 + 889*T1^3*T2^5 - 
     2195*T1^4*T2^5 + 1798*T1^5*T2^5 + 1798*T1^6*T2^5 - 2195*T1^7*T2^5 + 
     889*T1^8*T2^5 + 643*T1^9*T2^5 - 96*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
     56*T1*T2^6 - 108*T1^2*T2^6 - 1340*T1^3*T2^6 + 579*T1^4*T2^6 + 
     1798*T1^5*T2^6 - 4464*T1^6*T2^6 + 1798*T1^7*T2^6 + 579*T1^8*T2^6 - 
     1340*T1^9*T2^6 - 108*T1^10*T2^6 + 56*T1^11*T2^6 + T1^12*T2^6 - 
     8*T1*T2^7 - 96*T1^2*T2^7 + 643*T1^3*T2^7 + 889*T1^4*T2^7 - 
     2195*T1^5*T2^7 + 1798*T1^6*T2^7 + 1798*T1^7*T2^7 - 2195*T1^8*T2^7 + 
     889*T1^9*T2^7 + 643*T1^10*T2^7 - 96*T1^11*T2^7 - 8*T1^12*T2^7 + 
     20*T1^2*T2^8 + 56*T1^3*T2^8 - 1028*T1^4*T2^8 + 889*T1^5*T2^8 + 
     579*T1^6*T2^8 - 2195*T1^7*T2^8 + 579*T1^8*T2^8 + 889*T1^9*T2^8 - 
     1028*T1^10*T2^8 + 56*T1^11*T2^8 + 20*T1^12*T2^8 - 27*T1^3*T2^9 + 
     56*T1^4*T2^9 + 643*T1^5*T2^9 - 1340*T1^6*T2^9 + 889*T1^7*T2^9 + 
     889*T1^8*T2^9 - 1340*T1^9*T2^9 + 643*T1^10*T2^9 + 56*T1^11*T2^9 - 
     27*T1^12*T2^9 + 20*T1^4*T2^10 - 96*T1^5*T2^10 - 108*T1^6*T2^10 + 
     643*T1^7*T2^10 - 1028*T1^8*T2^10 + 643*T1^9*T2^10 - 108*T1^10*T2^10 - 
     96*T1^11*T2^10 + 20*T1^12*T2^10 - 8*T1^5*T2^11 + 56*T1^6*T2^11 - 
     96*T1^7*T2^11 + 56*T1^8*T2^11 + 56*T1^9*T2^11 - 96*T1^10*T2^11 + 
     56*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
     20*T1^8*T2^12 - 27*T1^9*T2^12 + 20*T1^10*T2^12 - 8*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, 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, (111 - 327*T1 + 539*T1^2 - 642*T1^3 + 677*T1^4 - 642*T1^5 + 
     539*T1^6 - 327*T1^7 + 111*T1^8 - 327*T2 + 644*T1*T2 - 639*T1^2*T2 + 
     315*T1^3*T2 - 106*T1^4*T2 - 106*T1^5*T2 + 315*T1^6*T2 - 639*T1^7*T2 + 
     644*T1^8*T2 - 327*T1^9*T2 + 539*T2^2 - 639*T1*T2^2 + 285*T1^2*T2^2 + 
     101*T1^3*T2^2 + 128*T1^4*T2^2 - 143*T1^5*T2^2 + 128*T1^6*T2^2 + 
     101*T1^7*T2^2 + 285*T1^8*T2^2 - 639*T1^9*T2^2 + 539*T1^10*T2^2 - 
     642*T2^3 + 315*T1*T2^3 + 101*T1^2*T2^3 - 194*T1^3*T2^3 - 354*T1^4*T2^3 + 
     50*T1^5*T2^3 + 50*T1^6*T2^3 - 354*T1^7*T2^3 - 194*T1^8*T2^3 + 
     101*T1^9*T2^3 + 315*T1^10*T2^3 - 642*T1^11*T2^3 + 677*T2^4 - 
     106*T1*T2^4 + 128*T1^2*T2^4 - 354*T1^3*T2^4 + 904*T1^4*T2^4 - 
     298*T1^5*T2^4 + 518*T1^6*T2^4 - 298*T1^7*T2^4 + 904*T1^8*T2^4 - 
     354*T1^9*T2^4 + 128*T1^10*T2^4 - 106*T1^11*T2^4 + 677*T1^12*T2^4 - 
     642*T2^5 - 106*T1*T2^5 - 143*T1^2*T2^5 + 50*T1^3*T2^5 - 298*T1^4*T2^5 - 
     388*T1^5*T2^5 - 190*T1^6*T2^5 - 190*T1^7*T2^5 - 388*T1^8*T2^5 - 
     298*T1^9*T2^5 + 50*T1^10*T2^5 - 143*T1^11*T2^5 - 106*T1^12*T2^5 - 
     642*T1^13*T2^5 + 539*T2^6 + 315*T1*T2^6 + 128*T1^2*T2^6 + 50*T1^3*T2^6 + 
     518*T1^4*T2^6 - 190*T1^5*T2^6 + 969*T1^6*T2^6 - 341*T1^7*T2^6 + 
     969*T1^8*T2^6 - 190*T1^9*T2^6 + 518*T1^10*T2^6 + 50*T1^11*T2^6 + 
     128*T1^12*T2^6 + 315*T1^13*T2^6 + 539*T1^14*T2^6 - 327*T2^7 - 
     639*T1*T2^7 + 101*T1^2*T2^7 - 354*T1^3*T2^7 - 298*T1^4*T2^7 - 
     190*T1^5*T2^7 - 341*T1^6*T2^7 - 412*T1^7*T2^7 - 412*T1^8*T2^7 - 
     341*T1^9*T2^7 - 190*T1^10*T2^7 - 298*T1^11*T2^7 - 354*T1^12*T2^7 + 
     101*T1^13*T2^7 - 639*T1^14*T2^7 - 327*T1^15*T2^7 + 111*T2^8 + 
     644*T1*T2^8 + 285*T1^2*T2^8 - 194*T1^3*T2^8 + 904*T1^4*T2^8 - 
     388*T1^5*T2^8 + 969*T1^6*T2^8 - 412*T1^7*T2^8 + 1296*T1^8*T2^8 - 
     412*T1^9*T2^8 + 969*T1^10*T2^8 - 388*T1^11*T2^8 + 904*T1^12*T2^8 - 
     194*T1^13*T2^8 + 285*T1^14*T2^8 + 644*T1^15*T2^8 + 111*T1^16*T2^8 - 
     327*T1*T2^9 - 639*T1^2*T2^9 + 101*T1^3*T2^9 - 354*T1^4*T2^9 - 
     298*T1^5*T2^9 - 190*T1^6*T2^9 - 341*T1^7*T2^9 - 412*T1^8*T2^9 - 
     412*T1^9*T2^9 - 341*T1^10*T2^9 - 190*T1^11*T2^9 - 298*T1^12*T2^9 - 
     354*T1^13*T2^9 + 101*T1^14*T2^9 - 639*T1^15*T2^9 - 327*T1^16*T2^9 + 
     539*T1^2*T2^10 + 315*T1^3*T2^10 + 128*T1^4*T2^10 + 50*T1^5*T2^10 + 
     518*T1^6*T2^10 - 190*T1^7*T2^10 + 969*T1^8*T2^10 - 341*T1^9*T2^10 + 
     969*T1^10*T2^10 - 190*T1^11*T2^10 + 518*T1^12*T2^10 + 50*T1^13*T2^10 + 
     128*T1^14*T2^10 + 315*T1^15*T2^10 + 539*T1^16*T2^10 - 642*T1^3*T2^11 - 
     106*T1^4*T2^11 - 143*T1^5*T2^11 + 50*T1^6*T2^11 - 298*T1^7*T2^11 - 
     388*T1^8*T2^11 - 190*T1^9*T2^11 - 190*T1^10*T2^11 - 388*T1^11*T2^11 - 
     298*T1^12*T2^11 + 50*T1^13*T2^11 - 143*T1^14*T2^11 - 106*T1^15*T2^11 - 
     642*T1^16*T2^11 + 677*T1^4*T2^12 - 106*T1^5*T2^12 + 128*T1^6*T2^12 - 
     354*T1^7*T2^12 + 904*T1^8*T2^12 - 298*T1^9*T2^12 + 518*T1^10*T2^12 - 
     298*T1^11*T2^12 + 904*T1^12*T2^12 - 354*T1^13*T2^12 + 128*T1^14*T2^12 - 
     106*T1^15*T2^12 + 677*T1^16*T2^12 - 642*T1^5*T2^13 + 315*T1^6*T2^13 + 
     101*T1^7*T2^13 - 194*T1^8*T2^13 - 354*T1^9*T2^13 + 50*T1^10*T2^13 + 
     50*T1^11*T2^13 - 354*T1^12*T2^13 - 194*T1^13*T2^13 + 101*T1^14*T2^13 + 
     315*T1^15*T2^13 - 642*T1^16*T2^13 + 539*T1^6*T2^14 - 639*T1^7*T2^14 + 
     285*T1^8*T2^14 + 101*T1^9*T2^14 + 128*T1^10*T2^14 - 143*T1^11*T2^14 + 
     128*T1^12*T2^14 + 101*T1^13*T2^14 + 285*T1^14*T2^14 - 639*T1^15*T2^14 + 
     539*T1^16*T2^14 - 327*T1^7*T2^15 + 644*T1^8*T2^15 - 639*T1^9*T2^15 + 
     315*T1^10*T2^15 - 106*T1^11*T2^15 - 106*T1^12*T2^15 + 315*T1^13*T2^15 - 
     639*T1^14*T2^15 + 644*T1^15*T2^15 - 327*T1^16*T2^15 + 111*T1^8*T2^16 - 
     327*T1^9*T2^16 + 539*T1^10*T2^16 - 642*T1^11*T2^16 + 677*T1^12*T2^16 - 
     642*T1^13*T2^16 + 539*T1^14*T2^16 - 327*T1^15*T2^16 + 111*T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 53] -> 
  {((2 - 3*T + 2*T^2)*(3 - 6*T + 7*T^2 - 6*T^3 + 3*T^4))/T^3, 
   (699 - 2385*T1 + 4247*T1^2 - 4993*T1^3 + 4247*T1^4 - 2385*T1^5 + 
     699*T1^6 - 2385*T2 + 5818*T1*T2 - 6494*T1^2*T2 + 2630*T1^3*T2 + 
     2630*T1^4*T2 - 6494*T1^5*T2 + 5818*T1^6*T2 - 2385*T1^7*T2 + 4247*T2^2 - 
     6494*T1*T2^2 + 2099*T1^2*T2^2 + 5742*T1^3*T2^2 - 8273*T1^4*T2^2 + 
     5742*T1^5*T2^2 + 2099*T1^6*T2^2 - 6494*T1^7*T2^2 + 4247*T1^8*T2^2 - 
     4993*T2^3 + 2630*T1*T2^3 + 5742*T1^2*T2^3 - 10278*T1^3*T2^3 + 
     3590*T1^4*T2^3 + 3590*T1^5*T2^3 - 10278*T1^6*T2^3 + 5742*T1^7*T2^3 + 
     2630*T1^8*T2^3 - 4993*T1^9*T2^3 + 4247*T2^4 + 2630*T1*T2^4 - 
     8273*T1^2*T2^4 + 3590*T1^3*T2^4 + 8698*T1^4*T2^4 - 10500*T1^5*T2^4 + 
     8698*T1^6*T2^4 + 3590*T1^7*T2^4 - 8273*T1^8*T2^4 + 2630*T1^9*T2^4 + 
     4247*T1^10*T2^4 - 2385*T2^5 - 6494*T1*T2^5 + 5742*T1^2*T2^5 + 
     3590*T1^3*T2^5 - 10500*T1^4*T2^5 + 2412*T1^5*T2^5 + 2412*T1^6*T2^5 - 
     10500*T1^7*T2^5 + 3590*T1^8*T2^5 + 5742*T1^9*T2^5 - 6494*T1^10*T2^5 - 
     2385*T1^11*T2^5 + 699*T2^6 + 5818*T1*T2^6 + 2099*T1^2*T2^6 - 
     10278*T1^3*T2^6 + 8698*T1^4*T2^6 + 2412*T1^5*T2^6 - 2052*T1^6*T2^6 + 
     2412*T1^7*T2^6 + 8698*T1^8*T2^6 - 10278*T1^9*T2^6 + 2099*T1^10*T2^6 + 
     5818*T1^11*T2^6 + 699*T1^12*T2^6 - 2385*T1*T2^7 - 6494*T1^2*T2^7 + 
     5742*T1^3*T2^7 + 3590*T1^4*T2^7 - 10500*T1^5*T2^7 + 2412*T1^6*T2^7 + 
     2412*T1^7*T2^7 - 10500*T1^8*T2^7 + 3590*T1^9*T2^7 + 5742*T1^10*T2^7 - 
     6494*T1^11*T2^7 - 2385*T1^12*T2^7 + 4247*T1^2*T2^8 + 2630*T1^3*T2^8 - 
     8273*T1^4*T2^8 + 3590*T1^5*T2^8 + 8698*T1^6*T2^8 - 10500*T1^7*T2^8 + 
     8698*T1^8*T2^8 + 3590*T1^9*T2^8 - 8273*T1^10*T2^8 + 2630*T1^11*T2^8 + 
     4247*T1^12*T2^8 - 4993*T1^3*T2^9 + 2630*T1^4*T2^9 + 5742*T1^5*T2^9 - 
     10278*T1^6*T2^9 + 3590*T1^7*T2^9 + 3590*T1^8*T2^9 - 10278*T1^9*T2^9 + 
     5742*T1^10*T2^9 + 2630*T1^11*T2^9 - 4993*T1^12*T2^9 + 4247*T1^4*T2^10 - 
     6494*T1^5*T2^10 + 2099*T1^6*T2^10 + 5742*T1^7*T2^10 - 8273*T1^8*T2^10 + 
     5742*T1^9*T2^10 + 2099*T1^10*T2^10 - 6494*T1^11*T2^10 + 
     4247*T1^12*T2^10 - 2385*T1^5*T2^11 + 5818*T1^6*T2^11 - 6494*T1^7*T2^11 + 
     2630*T1^8*T2^11 + 2630*T1^9*T2^11 - 6494*T1^10*T2^11 + 
     5818*T1^11*T2^11 - 2385*T1^12*T2^11 + 699*T1^6*T2^12 - 2385*T1^7*T2^12 + 
     4247*T1^8*T2^12 - 4993*T1^9*T2^12 + 4247*T1^10*T2^12 - 
     2385*T1^11*T2^12 + 699*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 54] -> 
  {-(((-3 + 5*T - 4*T^2 + T^3)*(-1 + 4*T - 5*T^2 + 3*T^3))/T^3), 
   -((3 - 19*T1 + 43*T1^2 - 57*T1^3 + 43*T1^4 - 19*T1^5 + 3*T1^6 - 19*T2 + 
      104*T1*T2 - 161*T1^2*T2 + 93*T1^3*T2 + 93*T1^4*T2 - 161*T1^5*T2 + 
      104*T1^6*T2 - 19*T1^7*T2 + 43*T2^2 - 161*T1*T2^2 - 87*T1^2*T2^2 + 
      668*T1^3*T2^2 - 1105*T1^4*T2^2 + 668*T1^5*T2^2 - 87*T1^6*T2^2 - 
      161*T1^7*T2^2 + 43*T1^8*T2^2 - 57*T2^3 + 93*T1*T2^3 + 668*T1^2*T2^3 - 
      1282*T1^3*T2^3 + 870*T1^4*T2^3 + 870*T1^5*T2^3 - 1282*T1^6*T2^3 + 
      668*T1^7*T2^3 + 93*T1^8*T2^3 - 57*T1^9*T2^3 + 43*T2^4 + 93*T1*T2^4 - 
      1105*T1^2*T2^4 + 870*T1^3*T2^4 + 503*T1^4*T2^4 - 2113*T1^5*T2^4 + 
      503*T1^6*T2^4 + 870*T1^7*T2^4 - 1105*T1^8*T2^4 + 93*T1^9*T2^4 + 
      43*T1^10*T2^4 - 19*T2^5 - 161*T1*T2^5 + 668*T1^2*T2^5 + 870*T1^3*T2^5 - 
      2113*T1^4*T2^5 + 1798*T1^5*T2^5 + 1798*T1^6*T2^5 - 2113*T1^7*T2^5 + 
      870*T1^8*T2^5 + 668*T1^9*T2^5 - 161*T1^10*T2^5 - 19*T1^11*T2^5 + 
      3*T2^6 + 104*T1*T2^6 - 87*T1^2*T2^6 - 1282*T1^3*T2^6 + 503*T1^4*T2^6 + 
      1798*T1^5*T2^6 - 4512*T1^6*T2^6 + 1798*T1^7*T2^6 + 503*T1^8*T2^6 - 
      1282*T1^9*T2^6 - 87*T1^10*T2^6 + 104*T1^11*T2^6 + 3*T1^12*T2^6 - 
      19*T1*T2^7 - 161*T1^2*T2^7 + 668*T1^3*T2^7 + 870*T1^4*T2^7 - 
      2113*T1^5*T2^7 + 1798*T1^6*T2^7 + 1798*T1^7*T2^7 - 2113*T1^8*T2^7 + 
      870*T1^9*T2^7 + 668*T1^10*T2^7 - 161*T1^11*T2^7 - 19*T1^12*T2^7 + 
      43*T1^2*T2^8 + 93*T1^3*T2^8 - 1105*T1^4*T2^8 + 870*T1^5*T2^8 + 
      503*T1^6*T2^8 - 2113*T1^7*T2^8 + 503*T1^8*T2^8 + 870*T1^9*T2^8 - 
      1105*T1^10*T2^8 + 93*T1^11*T2^8 + 43*T1^12*T2^8 - 57*T1^3*T2^9 + 
      93*T1^4*T2^9 + 668*T1^5*T2^9 - 1282*T1^6*T2^9 + 870*T1^7*T2^9 + 
      870*T1^8*T2^9 - 1282*T1^9*T2^9 + 668*T1^10*T2^9 + 93*T1^11*T2^9 - 
      57*T1^12*T2^9 + 43*T1^4*T2^10 - 161*T1^5*T2^10 - 87*T1^6*T2^10 + 
      668*T1^7*T2^10 - 1105*T1^8*T2^10 + 668*T1^9*T2^10 - 87*T1^10*T2^10 - 
      161*T1^11*T2^10 + 43*T1^12*T2^10 - 19*T1^5*T2^11 + 104*T1^6*T2^11 - 
      161*T1^7*T2^11 + 93*T1^8*T2^11 + 93*T1^9*T2^11 - 161*T1^10*T2^11 + 
      104*T1^11*T2^11 - 19*T1^12*T2^11 + 3*T1^6*T2^12 - 19*T1^7*T2^12 + 
      43*T1^8*T2^12 - 57*T1^9*T2^12 + 43*T1^10*T2^12 - 19*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 55] -> 
  {(5 - 18*T + 34*T^2 - 41*T^3 + 34*T^4 - 18*T^5 + 5*T^6)/T^3, 
   (415 - 1464*T1 + 2738*T1^2 - 3287*T1^3 + 2738*T1^4 - 1464*T1^5 + 
     415*T1^6 - 1464*T2 + 3726*T1*T2 - 4542*T1^2*T2 + 1965*T1^3*T2 + 
     1965*T1^4*T2 - 4542*T1^5*T2 + 3726*T1^6*T2 - 1464*T1^7*T2 + 2738*T2^2 - 
     4542*T1*T2^2 + 2375*T1^2*T2^2 + 3466*T1^3*T2^2 - 5851*T1^4*T2^2 + 
     3466*T1^5*T2^2 + 2375*T1^6*T2^2 - 4542*T1^7*T2^2 + 2738*T1^8*T2^2 - 
     3287*T2^3 + 1965*T1*T2^3 + 3466*T1^2*T2^3 - 8290*T1^3*T2^3 + 
     3521*T1^4*T2^3 + 3521*T1^5*T2^3 - 8290*T1^6*T2^3 + 3466*T1^7*T2^3 + 
     1965*T1^8*T2^3 - 3287*T1^9*T2^3 + 2738*T2^4 + 1965*T1*T2^4 - 
     5851*T1^2*T2^4 + 3521*T1^3*T2^4 + 8187*T1^4*T2^4 - 11893*T1^5*T2^4 + 
     8187*T1^6*T2^4 + 3521*T1^7*T2^4 - 5851*T1^8*T2^4 + 1965*T1^9*T2^4 + 
     2738*T1^10*T2^4 - 1464*T2^5 - 4542*T1*T2^5 + 3466*T1^2*T2^5 + 
     3521*T1^3*T2^5 - 11893*T1^4*T2^5 + 4552*T1^5*T2^5 + 4552*T1^6*T2^5 - 
     11893*T1^7*T2^5 + 3521*T1^8*T2^5 + 3466*T1^9*T2^5 - 4542*T1^10*T2^5 - 
     1464*T1^11*T2^5 + 415*T2^6 + 3726*T1*T2^6 + 2375*T1^2*T2^6 - 
     8290*T1^3*T2^6 + 8187*T1^4*T2^6 + 4552*T1^5*T2^6 - 7812*T1^6*T2^6 + 
     4552*T1^7*T2^6 + 8187*T1^8*T2^6 - 8290*T1^9*T2^6 + 2375*T1^10*T2^6 + 
     3726*T1^11*T2^6 + 415*T1^12*T2^6 - 1464*T1*T2^7 - 4542*T1^2*T2^7 + 
     3466*T1^3*T2^7 + 3521*T1^4*T2^7 - 11893*T1^5*T2^7 + 4552*T1^6*T2^7 + 
     4552*T1^7*T2^7 - 11893*T1^8*T2^7 + 3521*T1^9*T2^7 + 3466*T1^10*T2^7 - 
     4542*T1^11*T2^7 - 1464*T1^12*T2^7 + 2738*T1^2*T2^8 + 1965*T1^3*T2^8 - 
     5851*T1^4*T2^8 + 3521*T1^5*T2^8 + 8187*T1^6*T2^8 - 11893*T1^7*T2^8 + 
     8187*T1^8*T2^8 + 3521*T1^9*T2^8 - 5851*T1^10*T2^8 + 1965*T1^11*T2^8 + 
     2738*T1^12*T2^8 - 3287*T1^3*T2^9 + 1965*T1^4*T2^9 + 3466*T1^5*T2^9 - 
     8290*T1^6*T2^9 + 3521*T1^7*T2^9 + 3521*T1^8*T2^9 - 8290*T1^9*T2^9 + 
     3466*T1^10*T2^9 + 1965*T1^11*T2^9 - 3287*T1^12*T2^9 + 2738*T1^4*T2^10 - 
     4542*T1^5*T2^10 + 2375*T1^6*T2^10 + 3466*T1^7*T2^10 - 5851*T1^8*T2^10 + 
     3466*T1^9*T2^10 + 2375*T1^10*T2^10 - 4542*T1^11*T2^10 + 
     2738*T1^12*T2^10 - 1464*T1^5*T2^11 + 3726*T1^6*T2^11 - 4542*T1^7*T2^11 + 
     1965*T1^8*T2^11 + 1965*T1^9*T2^11 - 4542*T1^10*T2^11 + 
     3726*T1^11*T2^11 - 1464*T1^12*T2^11 + 415*T1^6*T2^12 - 1464*T1^7*T2^12 + 
     2738*T1^8*T2^12 - 3287*T1^9*T2^12 + 2738*T1^10*T2^12 - 
     1464*T1^11*T2^12 + 415*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 56] -> {(7 - 22*T + 31*T^2 - 22*T^3 + 7*T^4)/T^2, 
   (875 - 2694*T1 + 3783*T1^2 - 2694*T1^3 + 875*T1^4 - 2694*T2 + 5628*T1*T2 - 
     3372*T1^2*T2 - 3372*T1^3*T2 + 5628*T1^4*T2 - 2694*T1^5*T2 + 3783*T2^2 - 
     3372*T1*T2^2 - 5694*T1^2*T2^2 + 13080*T1^3*T2^2 - 5694*T1^4*T2^2 - 
     3372*T1^5*T2^2 + 3783*T1^6*T2^2 - 2694*T2^3 - 3372*T1*T2^3 + 
     13080*T1^2*T2^3 - 9246*T1^3*T2^3 - 9246*T1^4*T2^3 + 13080*T1^5*T2^3 - 
     3372*T1^6*T2^3 - 2694*T1^7*T2^3 + 875*T2^4 + 5628*T1*T2^4 - 
     5694*T1^2*T2^4 - 9246*T1^3*T2^4 + 22236*T1^4*T2^4 - 9246*T1^5*T2^4 - 
     5694*T1^6*T2^4 + 5628*T1^7*T2^4 + 875*T1^8*T2^4 - 2694*T1*T2^5 - 
     3372*T1^2*T2^5 + 13080*T1^3*T2^5 - 9246*T1^4*T2^5 - 9246*T1^5*T2^5 + 
     13080*T1^6*T2^5 - 3372*T1^7*T2^5 - 2694*T1^8*T2^5 + 3783*T1^2*T2^6 - 
     3372*T1^3*T2^6 - 5694*T1^4*T2^6 + 13080*T1^5*T2^6 - 5694*T1^6*T2^6 - 
     3372*T1^7*T2^6 + 3783*T1^8*T2^6 - 2694*T1^3*T2^7 + 5628*T1^4*T2^7 - 
     3372*T1^5*T2^7 - 3372*T1^6*T2^7 + 5628*T1^7*T2^7 - 2694*T1^8*T2^7 + 
     875*T1^4*T2^8 - 2694*T1^5*T2^8 + 3783*T1^6*T2^8 - 2694*T1^7*T2^8 + 
     875*T1^8*T2^8)/(T1^4*T2^4)}, Knot[12, Alternating, 57] -> 
  {-((3 - 17*T + 41*T^2 - 55*T^3 + 41*T^4 - 17*T^5 + 3*T^6)/T^3), 
   (3 - 19*T1 + 49*T1^2 - 69*T1^3 + 49*T1^4 - 19*T1^5 + 3*T1^6 - 19*T2 + 
     100*T1*T2 - 185*T1^2*T2 + 121*T1^3*T2 + 121*T1^4*T2 - 185*T1^5*T2 + 
     100*T1^6*T2 - 19*T1^7*T2 + 49*T2^2 - 185*T1*T2^2 + 105*T1^2*T2^2 + 
     412*T1^3*T2^2 - 943*T1^4*T2^2 + 412*T1^5*T2^2 + 105*T1^6*T2^2 - 
     185*T1^7*T2^2 + 49*T1^8*T2^2 - 69*T2^3 + 121*T1*T2^3 + 412*T1^2*T2^3 - 
     1206*T1^3*T2^3 + 1046*T1^4*T2^3 + 1046*T1^5*T2^3 - 1206*T1^6*T2^3 + 
     412*T1^7*T2^3 + 121*T1^8*T2^3 - 69*T1^9*T2^3 + 49*T2^4 + 121*T1*T2^4 - 
     943*T1^2*T2^4 + 1046*T1^3*T2^4 + 602*T1^4*T2^4 - 3156*T1^5*T2^4 + 
     602*T1^6*T2^4 + 1046*T1^7*T2^4 - 943*T1^8*T2^4 + 121*T1^9*T2^4 + 
     49*T1^10*T2^4 - 19*T2^5 - 185*T1*T2^5 + 412*T1^2*T2^5 + 1046*T1^3*T2^5 - 
     3156*T1^4*T2^5 + 3056*T1^5*T2^5 + 3056*T1^6*T2^5 - 3156*T1^7*T2^5 + 
     1046*T1^8*T2^5 + 412*T1^9*T2^5 - 185*T1^10*T2^5 - 19*T1^11*T2^5 + 
     3*T2^6 + 100*T1*T2^6 + 105*T1^2*T2^6 - 1206*T1^3*T2^6 + 602*T1^4*T2^6 + 
     3056*T1^5*T2^6 - 8040*T1^6*T2^6 + 3056*T1^7*T2^6 + 602*T1^8*T2^6 - 
     1206*T1^9*T2^6 + 105*T1^10*T2^6 + 100*T1^11*T2^6 + 3*T1^12*T2^6 - 
     19*T1*T2^7 - 185*T1^2*T2^7 + 412*T1^3*T2^7 + 1046*T1^4*T2^7 - 
     3156*T1^5*T2^7 + 3056*T1^6*T2^7 + 3056*T1^7*T2^7 - 3156*T1^8*T2^7 + 
     1046*T1^9*T2^7 + 412*T1^10*T2^7 - 185*T1^11*T2^7 - 19*T1^12*T2^7 + 
     49*T1^2*T2^8 + 121*T1^3*T2^8 - 943*T1^4*T2^8 + 1046*T1^5*T2^8 + 
     602*T1^6*T2^8 - 3156*T1^7*T2^8 + 602*T1^8*T2^8 + 1046*T1^9*T2^8 - 
     943*T1^10*T2^8 + 121*T1^11*T2^8 + 49*T1^12*T2^8 - 69*T1^3*T2^9 + 
     121*T1^4*T2^9 + 412*T1^5*T2^9 - 1206*T1^6*T2^9 + 1046*T1^7*T2^9 + 
     1046*T1^8*T2^9 - 1206*T1^9*T2^9 + 412*T1^10*T2^9 + 121*T1^11*T2^9 - 
     69*T1^12*T2^9 + 49*T1^4*T2^10 - 185*T1^5*T2^10 + 105*T1^6*T2^10 + 
     412*T1^7*T2^10 - 943*T1^8*T2^10 + 412*T1^9*T2^10 + 105*T1^10*T2^10 - 
     185*T1^11*T2^10 + 49*T1^12*T2^10 - 19*T1^5*T2^11 + 100*T1^6*T2^11 - 
     185*T1^7*T2^11 + 121*T1^8*T2^11 + 121*T1^9*T2^11 - 185*T1^10*T2^11 + 
     100*T1^11*T2^11 - 19*T1^12*T2^11 + 3*T1^6*T2^12 - 19*T1^7*T2^12 + 
     49*T1^8*T2^12 - 69*T1^9*T2^12 + 49*T1^10*T2^12 - 19*T1^11*T2^12 + 
     3*T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   0}, 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), -((1 - 8*T1 + 28*T1^2 - 57*T1^3 + 71*T1^4 - 57*T1^5 + 28*T1^6 - 
      8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 160*T1^2*T2 + 232*T1^3*T2 - 
      112*T1^4*T2 - 112*T1^5*T2 + 232*T1^6*T2 - 160*T1^7*T2 + 56*T1^8*T2 - 
      8*T1^9*T2 + 28*T2^2 - 160*T1*T2^2 + 300*T1^2*T2^2 - 28*T1^3*T2^2 - 
      877*T1^4*T2^2 + 1354*T1^5*T2^2 - 877*T1^6*T2^2 - 28*T1^7*T2^2 + 
      300*T1^8*T2^2 - 160*T1^9*T2^2 + 28*T1^10*T2^2 - 57*T2^3 + 232*T1*T2^3 - 
      28*T1^2*T2^3 - 1286*T1^3*T2^3 + 2904*T1^4*T2^3 - 1485*T1^5*T2^3 - 
      1485*T1^6*T2^3 + 2904*T1^7*T2^3 - 1286*T1^8*T2^3 - 28*T1^9*T2^3 + 
      232*T1^10*T2^3 - 57*T1^11*T2^3 + 71*T2^4 - 112*T1*T2^4 - 
      877*T1^2*T2^4 + 2904*T1^3*T2^4 - 2585*T1^4*T2^4 - 4124*T1^5*T2^4 + 
      7631*T1^6*T2^4 - 4124*T1^7*T2^4 - 2585*T1^8*T2^4 + 2904*T1^9*T2^4 - 
      877*T1^10*T2^4 - 112*T1^11*T2^4 + 71*T1^12*T2^4 - 57*T2^5 - 
      112*T1*T2^5 + 1354*T1^2*T2^5 - 1485*T1^3*T2^5 - 4124*T1^4*T2^5 + 
      13590*T1^5*T2^5 - 7002*T1^6*T2^5 - 7002*T1^7*T2^5 + 13590*T1^8*T2^5 - 
      4124*T1^9*T2^5 - 1485*T1^10*T2^5 + 1354*T1^11*T2^5 - 112*T1^12*T2^5 - 
      57*T1^13*T2^5 + 28*T2^6 + 232*T1*T2^6 - 877*T1^2*T2^6 - 
      1485*T1^3*T2^6 + 7631*T1^4*T2^6 - 7002*T1^5*T2^6 - 16877*T1^6*T2^6 + 
      28833*T1^7*T2^6 - 16877*T1^8*T2^6 - 7002*T1^9*T2^6 + 7631*T1^10*T2^6 - 
      1485*T1^11*T2^6 - 877*T1^12*T2^6 + 232*T1^13*T2^6 + 28*T1^14*T2^6 - 
      8*T2^7 - 160*T1*T2^7 - 28*T1^2*T2^7 + 2904*T1^3*T2^7 - 4124*T1^4*T2^7 - 
      7002*T1^5*T2^7 + 28833*T1^6*T2^7 - 14838*T1^7*T2^7 - 14838*T1^8*T2^7 + 
      28833*T1^9*T2^7 - 7002*T1^10*T2^7 - 4124*T1^11*T2^7 + 2904*T1^12*T2^7 - 
      28*T1^13*T2^7 - 160*T1^14*T2^7 - 8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 
      300*T1^2*T2^8 - 1286*T1^3*T2^8 - 2585*T1^4*T2^8 + 13590*T1^5*T2^8 - 
      16877*T1^6*T2^8 - 14838*T1^7*T2^8 + 30768*T1^8*T2^8 - 14838*T1^9*T2^8 - 
      16877*T1^10*T2^8 + 13590*T1^11*T2^8 - 2585*T1^12*T2^8 - 
      1286*T1^13*T2^8 + 300*T1^14*T2^8 + 56*T1^15*T2^8 + T1^16*T2^8 - 
      8*T1*T2^9 - 160*T1^2*T2^9 - 28*T1^3*T2^9 + 2904*T1^4*T2^9 - 
      4124*T1^5*T2^9 - 7002*T1^6*T2^9 + 28833*T1^7*T2^9 - 14838*T1^8*T2^9 - 
      14838*T1^9*T2^9 + 28833*T1^10*T2^9 - 7002*T1^11*T2^9 - 
      4124*T1^12*T2^9 + 2904*T1^13*T2^9 - 28*T1^14*T2^9 - 160*T1^15*T2^9 - 
      8*T1^16*T2^9 + 28*T1^2*T2^10 + 232*T1^3*T2^10 - 877*T1^4*T2^10 - 
      1485*T1^5*T2^10 + 7631*T1^6*T2^10 - 7002*T1^7*T2^10 - 
      16877*T1^8*T2^10 + 28833*T1^9*T2^10 - 16877*T1^10*T2^10 - 
      7002*T1^11*T2^10 + 7631*T1^12*T2^10 - 1485*T1^13*T2^10 - 
      877*T1^14*T2^10 + 232*T1^15*T2^10 + 28*T1^16*T2^10 - 57*T1^3*T2^11 - 
      112*T1^4*T2^11 + 1354*T1^5*T2^11 - 1485*T1^6*T2^11 - 4124*T1^7*T2^11 + 
      13590*T1^8*T2^11 - 7002*T1^9*T2^11 - 7002*T1^10*T2^11 + 
      13590*T1^11*T2^11 - 4124*T1^12*T2^11 - 1485*T1^13*T2^11 + 
      1354*T1^14*T2^11 - 112*T1^15*T2^11 - 57*T1^16*T2^11 + 71*T1^4*T2^12 - 
      112*T1^5*T2^12 - 877*T1^6*T2^12 + 2904*T1^7*T2^12 - 2585*T1^8*T2^12 - 
      4124*T1^9*T2^12 + 7631*T1^10*T2^12 - 4124*T1^11*T2^12 - 
      2585*T1^12*T2^12 + 2904*T1^13*T2^12 - 877*T1^14*T2^12 - 
      112*T1^15*T2^12 + 71*T1^16*T2^12 - 57*T1^5*T2^13 + 232*T1^6*T2^13 - 
      28*T1^7*T2^13 - 1286*T1^8*T2^13 + 2904*T1^9*T2^13 - 1485*T1^10*T2^13 - 
      1485*T1^11*T2^13 + 2904*T1^12*T2^13 - 1286*T1^13*T2^13 - 
      28*T1^14*T2^13 + 232*T1^15*T2^13 - 57*T1^16*T2^13 + 28*T1^6*T2^14 - 
      160*T1^7*T2^14 + 300*T1^8*T2^14 - 28*T1^9*T2^14 - 877*T1^10*T2^14 + 
      1354*T1^11*T2^14 - 877*T1^12*T2^14 - 28*T1^13*T2^14 + 300*T1^14*T2^14 - 
      160*T1^15*T2^14 + 28*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 
      160*T1^9*T2^15 + 232*T1^10*T2^15 - 112*T1^11*T2^15 - 112*T1^12*T2^15 + 
      232*T1^13*T2^15 - 160*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + 
      T1^8*T2^16 - 8*T1^9*T2^16 + 28*T1^10*T2^16 - 57*T1^11*T2^16 + 
      71*T1^12*T2^16 - 57*T1^13*T2^16 + 28*T1^14*T2^16 - 8*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, 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, 
   (3*T1^2 - 6*T1^3 + 3*T1^4 - 2*T1*T2 - 10*T1^2*T2 + 11*T1^3*T2 + 
     11*T1^4*T2 - 10*T1^5*T2 - 2*T1^6*T2 + 3*T2^2 - 10*T1*T2^2 + 
     65*T1^2*T2^2 - 66*T1^3*T2^2 + 33*T1^4*T2^2 - 66*T1^5*T2^2 + 
     65*T1^6*T2^2 - 10*T1^7*T2^2 + 3*T1^8*T2^2 - 6*T2^3 + 11*T1*T2^3 - 
     66*T1^2*T2^3 - 26*T1^3*T2^3 + 53*T1^4*T2^3 + 53*T1^5*T2^3 - 
     26*T1^6*T2^3 - 66*T1^7*T2^3 + 11*T1^8*T2^3 - 6*T1^9*T2^3 + 3*T2^4 + 
     11*T1*T2^4 + 33*T1^2*T2^4 + 53*T1^3*T2^4 + 148*T1^4*T2^4 - 
     328*T1^5*T2^4 + 148*T1^6*T2^4 + 53*T1^7*T2^4 + 33*T1^8*T2^4 + 
     11*T1^9*T2^4 + 3*T1^10*T2^4 - 10*T1*T2^5 - 66*T1^2*T2^5 + 53*T1^3*T2^5 - 
     328*T1^4*T2^5 + 212*T1^5*T2^5 + 212*T1^6*T2^5 - 328*T1^7*T2^5 + 
     53*T1^8*T2^5 - 66*T1^9*T2^5 - 10*T1^10*T2^5 - 2*T1*T2^6 + 65*T1^2*T2^6 - 
     26*T1^3*T2^6 + 148*T1^4*T2^6 + 212*T1^5*T2^6 - 468*T1^6*T2^6 + 
     212*T1^7*T2^6 + 148*T1^8*T2^6 - 26*T1^9*T2^6 + 65*T1^10*T2^6 - 
     2*T1^11*T2^6 - 10*T1^2*T2^7 - 66*T1^3*T2^7 + 53*T1^4*T2^7 - 
     328*T1^5*T2^7 + 212*T1^6*T2^7 + 212*T1^7*T2^7 - 328*T1^8*T2^7 + 
     53*T1^9*T2^7 - 66*T1^10*T2^7 - 10*T1^11*T2^7 + 3*T1^2*T2^8 + 
     11*T1^3*T2^8 + 33*T1^4*T2^8 + 53*T1^5*T2^8 + 148*T1^6*T2^8 - 
     328*T1^7*T2^8 + 148*T1^8*T2^8 + 53*T1^9*T2^8 + 33*T1^10*T2^8 + 
     11*T1^11*T2^8 + 3*T1^12*T2^8 - 6*T1^3*T2^9 + 11*T1^4*T2^9 - 
     66*T1^5*T2^9 - 26*T1^6*T2^9 + 53*T1^7*T2^9 + 53*T1^8*T2^9 - 
     26*T1^9*T2^9 - 66*T1^10*T2^9 + 11*T1^11*T2^9 - 6*T1^12*T2^9 + 
     3*T1^4*T2^10 - 10*T1^5*T2^10 + 65*T1^6*T2^10 - 66*T1^7*T2^10 + 
     33*T1^8*T2^10 - 66*T1^9*T2^10 + 65*T1^10*T2^10 - 10*T1^11*T2^10 + 
     3*T1^12*T2^10 - 2*T1^6*T2^11 - 10*T1^7*T2^11 + 11*T1^8*T2^11 + 
     11*T1^9*T2^11 - 10*T1^10*T2^11 - 2*T1^11*T2^11 + 3*T1^8*T2^12 - 
     6*T1^9*T2^12 + 3*T1^10*T2^12)/(T1^6*T2^6)}, 
 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), -((1 - 7*T1 + 21*T1^2 - 38*T1^3 + 45*T1^4 - 38*T1^5 + 21*T1^6 - 
      7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 98*T1^2*T2 + 119*T1^3*T2 - 
      49*T1^4*T2 - 49*T1^5*T2 + 119*T1^6*T2 - 98*T1^7*T2 + 42*T1^8*T2 - 
      7*T1^9*T2 + 21*T2^2 - 98*T1*T2^2 + 119*T1^2*T2^2 + 86*T1^3*T2^2 - 
      482*T1^4*T2^2 + 619*T1^5*T2^2 - 482*T1^6*T2^2 + 86*T1^7*T2^2 + 
      119*T1^8*T2^2 - 98*T1^9*T2^2 + 21*T1^10*T2^2 - 38*T2^3 + 119*T1*T2^3 + 
      86*T1^2*T2^3 - 676*T1^3*T2^3 + 1101*T1^4*T2^3 - 420*T1^5*T2^3 - 
      420*T1^6*T2^3 + 1101*T1^7*T2^3 - 676*T1^8*T2^3 + 86*T1^9*T2^3 + 
      119*T1^10*T2^3 - 38*T1^11*T2^3 + 45*T2^4 - 49*T1*T2^4 - 482*T1^2*T2^4 + 
      1101*T1^3*T2^4 - 606*T1^4*T2^4 - 1489*T1^5*T2^4 + 2044*T1^6*T2^4 - 
      1489*T1^7*T2^4 - 606*T1^8*T2^4 + 1101*T1^9*T2^4 - 482*T1^10*T2^4 - 
      49*T1^11*T2^4 + 45*T1^12*T2^4 - 38*T2^5 - 49*T1*T2^5 + 619*T1^2*T2^5 - 
      420*T1^3*T2^5 - 1489*T1^4*T2^5 + 3612*T1^5*T2^5 - 1330*T1^6*T2^5 - 
      1330*T1^7*T2^5 + 3612*T1^8*T2^5 - 1489*T1^9*T2^5 - 420*T1^10*T2^5 + 
      619*T1^11*T2^5 - 49*T1^12*T2^5 - 38*T1^13*T2^5 + 21*T2^6 + 
      119*T1*T2^6 - 482*T1^2*T2^6 - 420*T1^3*T2^6 + 2044*T1^4*T2^6 - 
      1330*T1^5*T2^6 - 4205*T1^6*T2^6 + 5703*T1^7*T2^6 - 4205*T1^8*T2^6 - 
      1330*T1^9*T2^6 + 2044*T1^10*T2^6 - 420*T1^11*T2^6 - 482*T1^12*T2^6 + 
      119*T1^13*T2^6 + 21*T1^14*T2^6 - 7*T2^7 - 98*T1*T2^7 + 86*T1^2*T2^7 + 
      1101*T1^3*T2^7 - 1489*T1^4*T2^7 - 1330*T1^5*T2^7 + 5703*T1^6*T2^7 - 
      2186*T1^7*T2^7 - 2186*T1^8*T2^7 + 5703*T1^9*T2^7 - 1330*T1^10*T2^7 - 
      1489*T1^11*T2^7 + 1101*T1^12*T2^7 + 86*T1^13*T2^7 - 98*T1^14*T2^7 - 
      7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 119*T1^2*T2^8 - 676*T1^3*T2^8 - 
      606*T1^4*T2^8 + 3612*T1^5*T2^8 - 4205*T1^6*T2^8 - 2186*T1^7*T2^8 + 
      3960*T1^8*T2^8 - 2186*T1^9*T2^8 - 4205*T1^10*T2^8 + 3612*T1^11*T2^8 - 
      606*T1^12*T2^8 - 676*T1^13*T2^8 + 119*T1^14*T2^8 + 42*T1^15*T2^8 + 
      T1^16*T2^8 - 7*T1*T2^9 - 98*T1^2*T2^9 + 86*T1^3*T2^9 + 1101*T1^4*T2^9 - 
      1489*T1^5*T2^9 - 1330*T1^6*T2^9 + 5703*T1^7*T2^9 - 2186*T1^8*T2^9 - 
      2186*T1^9*T2^9 + 5703*T1^10*T2^9 - 1330*T1^11*T2^9 - 1489*T1^12*T2^9 + 
      1101*T1^13*T2^9 + 86*T1^14*T2^9 - 98*T1^15*T2^9 - 7*T1^16*T2^9 + 
      21*T1^2*T2^10 + 119*T1^3*T2^10 - 482*T1^4*T2^10 - 420*T1^5*T2^10 + 
      2044*T1^6*T2^10 - 1330*T1^7*T2^10 - 4205*T1^8*T2^10 + 5703*T1^9*T2^10 - 
      4205*T1^10*T2^10 - 1330*T1^11*T2^10 + 2044*T1^12*T2^10 - 
      420*T1^13*T2^10 - 482*T1^14*T2^10 + 119*T1^15*T2^10 + 21*T1^16*T2^10 - 
      38*T1^3*T2^11 - 49*T1^4*T2^11 + 619*T1^5*T2^11 - 420*T1^6*T2^11 - 
      1489*T1^7*T2^11 + 3612*T1^8*T2^11 - 1330*T1^9*T2^11 - 
      1330*T1^10*T2^11 + 3612*T1^11*T2^11 - 1489*T1^12*T2^11 - 
      420*T1^13*T2^11 + 619*T1^14*T2^11 - 49*T1^15*T2^11 - 38*T1^16*T2^11 + 
      45*T1^4*T2^12 - 49*T1^5*T2^12 - 482*T1^6*T2^12 + 1101*T1^7*T2^12 - 
      606*T1^8*T2^12 - 1489*T1^9*T2^12 + 2044*T1^10*T2^12 - 
      1489*T1^11*T2^12 - 606*T1^12*T2^12 + 1101*T1^13*T2^12 - 
      482*T1^14*T2^12 - 49*T1^15*T2^12 + 45*T1^16*T2^12 - 38*T1^5*T2^13 + 
      119*T1^6*T2^13 + 86*T1^7*T2^13 - 676*T1^8*T2^13 + 1101*T1^9*T2^13 - 
      420*T1^10*T2^13 - 420*T1^11*T2^13 + 1101*T1^12*T2^13 - 
      676*T1^13*T2^13 + 86*T1^14*T2^13 + 119*T1^15*T2^13 - 38*T1^16*T2^13 + 
      21*T1^6*T2^14 - 98*T1^7*T2^14 + 119*T1^8*T2^14 + 86*T1^9*T2^14 - 
      482*T1^10*T2^14 + 619*T1^11*T2^14 - 482*T1^12*T2^14 + 86*T1^13*T2^14 + 
      119*T1^14*T2^14 - 98*T1^15*T2^14 + 21*T1^16*T2^14 - 7*T1^7*T2^15 + 
      42*T1^8*T2^15 - 98*T1^9*T2^15 + 119*T1^10*T2^15 - 49*T1^11*T2^15 - 
      49*T1^12*T2^15 + 119*T1^13*T2^15 - 98*T1^14*T2^15 + 42*T1^15*T2^15 - 
      7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 21*T1^10*T2^16 - 
      38*T1^11*T2^16 + 45*T1^12*T2^16 - 38*T1^13*T2^16 + 21*T1^14*T2^16 - 
      7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 62] -> 
  {-((2 - 12*T + 30*T^2 - 41*T^3 + 30*T^4 - 12*T^5 + 2*T^6)/T^3), 
   -((1 - 7*T1 + 18*T1^2 - 25*T1^3 + 18*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 77*T1^2*T2 + 49*T1^3*T2 + 49*T1^4*T2 - 77*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 18*T2^2 - 77*T1*T2^2 - 4*T1^2*T2^2 + 
      316*T1^3*T2^2 - 590*T1^4*T2^2 + 316*T1^5*T2^2 - 4*T1^6*T2^2 - 
      77*T1^7*T2^2 + 18*T1^8*T2^2 - 25*T2^3 + 49*T1*T2^3 + 316*T1^2*T2^3 - 
      812*T1^3*T2^3 + 618*T1^4*T2^3 + 618*T1^5*T2^3 - 812*T1^6*T2^3 + 
      316*T1^7*T2^3 + 49*T1^8*T2^3 - 25*T1^9*T2^3 + 18*T2^4 + 49*T1*T2^4 - 
      590*T1^2*T2^4 + 618*T1^3*T2^4 + 629*T1^4*T2^4 - 2115*T1^5*T2^4 + 
      629*T1^6*T2^4 + 618*T1^7*T2^4 - 590*T1^8*T2^4 + 49*T1^9*T2^4 + 
      18*T1^10*T2^4 - 7*T2^5 - 77*T1*T2^5 + 316*T1^2*T2^5 + 618*T1^3*T2^5 - 
      2115*T1^4*T2^5 + 1800*T1^5*T2^5 + 1800*T1^6*T2^5 - 2115*T1^7*T2^5 + 
      618*T1^8*T2^5 + 316*T1^9*T2^5 - 77*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 - 4*T1^2*T2^6 - 812*T1^3*T2^6 + 629*T1^4*T2^6 + 
      1800*T1^5*T2^6 - 4560*T1^6*T2^6 + 1800*T1^7*T2^6 + 629*T1^8*T2^6 - 
      812*T1^9*T2^6 - 4*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 7*T1*T2^7 - 
      77*T1^2*T2^7 + 316*T1^3*T2^7 + 618*T1^4*T2^7 - 2115*T1^5*T2^7 + 
      1800*T1^6*T2^7 + 1800*T1^7*T2^7 - 2115*T1^8*T2^7 + 618*T1^9*T2^7 + 
      316*T1^10*T2^7 - 77*T1^11*T2^7 - 7*T1^12*T2^7 + 18*T1^2*T2^8 + 
      49*T1^3*T2^8 - 590*T1^4*T2^8 + 618*T1^5*T2^8 + 629*T1^6*T2^8 - 
      2115*T1^7*T2^8 + 629*T1^8*T2^8 + 618*T1^9*T2^8 - 590*T1^10*T2^8 + 
      49*T1^11*T2^8 + 18*T1^12*T2^8 - 25*T1^3*T2^9 + 49*T1^4*T2^9 + 
      316*T1^5*T2^9 - 812*T1^6*T2^9 + 618*T1^7*T2^9 + 618*T1^8*T2^9 - 
      812*T1^9*T2^9 + 316*T1^10*T2^9 + 49*T1^11*T2^9 - 25*T1^12*T2^9 + 
      18*T1^4*T2^10 - 77*T1^5*T2^10 - 4*T1^6*T2^10 + 316*T1^7*T2^10 - 
      590*T1^8*T2^10 + 316*T1^9*T2^10 - 4*T1^10*T2^10 - 77*T1^11*T2^10 + 
      18*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 77*T1^7*T2^11 + 
      49*T1^8*T2^11 + 49*T1^9*T2^11 - 77*T1^10*T2^11 + 42*T1^11*T2^11 - 
      7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 18*T1^8*T2^12 - 
      25*T1^9*T2^12 + 18*T1^10*T2^12 - 7*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, 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), -((1 - 8*T1 + 28*T1^2 - 57*T1^3 + 71*T1^4 - 57*T1^5 + 28*T1^6 - 
      8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 160*T1^2*T2 + 232*T1^3*T2 - 
      112*T1^4*T2 - 112*T1^5*T2 + 232*T1^6*T2 - 160*T1^7*T2 + 56*T1^8*T2 - 
      8*T1^9*T2 + 28*T2^2 - 160*T1*T2^2 + 300*T1^2*T2^2 - 28*T1^3*T2^2 - 
      876*T1^4*T2^2 + 1352*T1^5*T2^2 - 876*T1^6*T2^2 - 28*T1^7*T2^2 + 
      300*T1^8*T2^2 - 160*T1^9*T2^2 + 28*T1^10*T2^2 - 57*T2^3 + 232*T1*T2^3 - 
      28*T1^2*T2^3 - 1288*T1^3*T2^3 + 2906*T1^4*T2^3 - 1485*T1^5*T2^3 - 
      1485*T1^6*T2^3 + 2906*T1^7*T2^3 - 1288*T1^8*T2^3 - 28*T1^9*T2^3 + 
      232*T1^10*T2^3 - 57*T1^11*T2^3 + 71*T2^4 - 112*T1*T2^4 - 
      876*T1^2*T2^4 + 2906*T1^3*T2^4 - 2587*T1^4*T2^4 - 4124*T1^5*T2^4 + 
      7629*T1^6*T2^4 - 4124*T1^7*T2^4 - 2587*T1^8*T2^4 + 2906*T1^9*T2^4 - 
      876*T1^10*T2^4 - 112*T1^11*T2^4 + 71*T1^12*T2^4 - 57*T2^5 - 
      112*T1*T2^5 + 1352*T1^2*T2^5 - 1485*T1^3*T2^5 - 4124*T1^4*T2^5 + 
      13590*T1^5*T2^5 - 7000*T1^6*T2^5 - 7000*T1^7*T2^5 + 13590*T1^8*T2^5 - 
      4124*T1^9*T2^5 - 1485*T1^10*T2^5 + 1352*T1^11*T2^5 - 112*T1^12*T2^5 - 
      57*T1^13*T2^5 + 28*T2^6 + 232*T1*T2^6 - 876*T1^2*T2^6 - 
      1485*T1^3*T2^6 + 7629*T1^4*T2^6 - 7000*T1^5*T2^6 - 16877*T1^6*T2^6 + 
      28831*T1^7*T2^6 - 16877*T1^8*T2^6 - 7000*T1^9*T2^6 + 7629*T1^10*T2^6 - 
      1485*T1^11*T2^6 - 876*T1^12*T2^6 + 232*T1^13*T2^6 + 28*T1^14*T2^6 - 
      8*T2^7 - 160*T1*T2^7 - 28*T1^2*T2^7 + 2906*T1^3*T2^7 - 4124*T1^4*T2^7 - 
      7000*T1^5*T2^7 + 28831*T1^6*T2^7 - 14840*T1^7*T2^7 - 14840*T1^8*T2^7 + 
      28831*T1^9*T2^7 - 7000*T1^10*T2^7 - 4124*T1^11*T2^7 + 2906*T1^12*T2^7 - 
      28*T1^13*T2^7 - 160*T1^14*T2^7 - 8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 
      300*T1^2*T2^8 - 1288*T1^3*T2^8 - 2587*T1^4*T2^8 + 13590*T1^5*T2^8 - 
      16877*T1^6*T2^8 - 14840*T1^7*T2^8 + 30780*T1^8*T2^8 - 14840*T1^9*T2^8 - 
      16877*T1^10*T2^8 + 13590*T1^11*T2^8 - 2587*T1^12*T2^8 - 
      1288*T1^13*T2^8 + 300*T1^14*T2^8 + 56*T1^15*T2^8 + T1^16*T2^8 - 
      8*T1*T2^9 - 160*T1^2*T2^9 - 28*T1^3*T2^9 + 2906*T1^4*T2^9 - 
      4124*T1^5*T2^9 - 7000*T1^6*T2^9 + 28831*T1^7*T2^9 - 14840*T1^8*T2^9 - 
      14840*T1^9*T2^9 + 28831*T1^10*T2^9 - 7000*T1^11*T2^9 - 
      4124*T1^12*T2^9 + 2906*T1^13*T2^9 - 28*T1^14*T2^9 - 160*T1^15*T2^9 - 
      8*T1^16*T2^9 + 28*T1^2*T2^10 + 232*T1^3*T2^10 - 876*T1^4*T2^10 - 
      1485*T1^5*T2^10 + 7629*T1^6*T2^10 - 7000*T1^7*T2^10 - 
      16877*T1^8*T2^10 + 28831*T1^9*T2^10 - 16877*T1^10*T2^10 - 
      7000*T1^11*T2^10 + 7629*T1^12*T2^10 - 1485*T1^13*T2^10 - 
      876*T1^14*T2^10 + 232*T1^15*T2^10 + 28*T1^16*T2^10 - 57*T1^3*T2^11 - 
      112*T1^4*T2^11 + 1352*T1^5*T2^11 - 1485*T1^6*T2^11 - 4124*T1^7*T2^11 + 
      13590*T1^8*T2^11 - 7000*T1^9*T2^11 - 7000*T1^10*T2^11 + 
      13590*T1^11*T2^11 - 4124*T1^12*T2^11 - 1485*T1^13*T2^11 + 
      1352*T1^14*T2^11 - 112*T1^15*T2^11 - 57*T1^16*T2^11 + 71*T1^4*T2^12 - 
      112*T1^5*T2^12 - 876*T1^6*T2^12 + 2906*T1^7*T2^12 - 2587*T1^8*T2^12 - 
      4124*T1^9*T2^12 + 7629*T1^10*T2^12 - 4124*T1^11*T2^12 - 
      2587*T1^12*T2^12 + 2906*T1^13*T2^12 - 876*T1^14*T2^12 - 
      112*T1^15*T2^12 + 71*T1^16*T2^12 - 57*T1^5*T2^13 + 232*T1^6*T2^13 - 
      28*T1^7*T2^13 - 1288*T1^8*T2^13 + 2906*T1^9*T2^13 - 1485*T1^10*T2^13 - 
      1485*T1^11*T2^13 + 2906*T1^12*T2^13 - 1288*T1^13*T2^13 - 
      28*T1^14*T2^13 + 232*T1^15*T2^13 - 57*T1^16*T2^13 + 28*T1^6*T2^14 - 
      160*T1^7*T2^14 + 300*T1^8*T2^14 - 28*T1^9*T2^14 - 876*T1^10*T2^14 + 
      1352*T1^11*T2^14 - 876*T1^12*T2^14 - 28*T1^13*T2^14 + 300*T1^14*T2^14 - 
      160*T1^15*T2^14 + 28*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 
      160*T1^9*T2^15 + 232*T1^10*T2^15 - 112*T1^11*T2^15 - 112*T1^12*T2^15 + 
      232*T1^13*T2^15 - 160*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + 
      T1^8*T2^16 - 8*T1^9*T2^16 + 28*T1^10*T2^16 - 57*T1^11*T2^16 + 
      71*T1^12*T2^16 - 57*T1^13*T2^16 + 28*T1^14*T2^16 - 8*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 64] -> 
  {-(((2 - 3*T + 2*T^2)*(2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4))/T^3), 
   -((132 - 724*T1 + 1634*T1^2 - 2122*T1^3 + 1634*T1^4 - 724*T1^5 + 
      132*T1^6 - 724*T2 + 3256*T1*T2 - 5022*T1^2*T2 + 2694*T1^3*T2 + 
      2694*T1^4*T2 - 5022*T1^5*T2 + 3256*T1^6*T2 - 724*T1^7*T2 + 1634*T2^2 - 
      5022*T1*T2^2 + 177*T1^2*T2^2 + 13999*T1^3*T2^2 - 23543*T1^4*T2^2 + 
      13999*T1^5*T2^2 + 177*T1^6*T2^2 - 5022*T1^7*T2^2 + 1634*T1^8*T2^2 - 
      2122*T2^3 + 2694*T1*T2^3 + 13999*T1^2*T2^3 - 30584*T1^3*T2^3 + 
      18906*T1^4*T2^3 + 18906*T1^5*T2^3 - 30584*T1^6*T2^3 + 13999*T1^7*T2^3 + 
      2694*T1^8*T2^3 - 2122*T1^9*T2^3 + 1634*T2^4 + 2694*T1*T2^4 - 
      23543*T1^2*T2^4 + 18906*T1^3*T2^4 + 23823*T1^4*T2^4 - 58807*T1^5*T2^4 + 
      23823*T1^6*T2^4 + 18906*T1^7*T2^4 - 23543*T1^8*T2^4 + 2694*T1^9*T2^4 + 
      1634*T1^10*T2^4 - 724*T2^5 - 5022*T1*T2^5 + 13999*T1^2*T2^5 + 
      18906*T1^3*T2^5 - 58807*T1^4*T2^5 + 40486*T1^5*T2^5 + 40486*T1^6*T2^5 - 
      58807*T1^7*T2^5 + 18906*T1^8*T2^5 + 13999*T1^9*T2^5 - 5022*T1^10*T2^5 - 
      724*T1^11*T2^5 + 132*T2^6 + 3256*T1*T2^6 + 177*T1^2*T2^6 - 
      30584*T1^3*T2^6 + 23823*T1^4*T2^6 + 40486*T1^5*T2^6 - 94752*T1^6*T2^6 + 
      40486*T1^7*T2^6 + 23823*T1^8*T2^6 - 30584*T1^9*T2^6 + 177*T1^10*T2^6 + 
      3256*T1^11*T2^6 + 132*T1^12*T2^6 - 724*T1*T2^7 - 5022*T1^2*T2^7 + 
      13999*T1^3*T2^7 + 18906*T1^4*T2^7 - 58807*T1^5*T2^7 + 40486*T1^6*T2^7 + 
      40486*T1^7*T2^7 - 58807*T1^8*T2^7 + 18906*T1^9*T2^7 + 
      13999*T1^10*T2^7 - 5022*T1^11*T2^7 - 724*T1^12*T2^7 + 1634*T1^2*T2^8 + 
      2694*T1^3*T2^8 - 23543*T1^4*T2^8 + 18906*T1^5*T2^8 + 23823*T1^6*T2^8 - 
      58807*T1^7*T2^8 + 23823*T1^8*T2^8 + 18906*T1^9*T2^8 - 
      23543*T1^10*T2^8 + 2694*T1^11*T2^8 + 1634*T1^12*T2^8 - 2122*T1^3*T2^9 + 
      2694*T1^4*T2^9 + 13999*T1^5*T2^9 - 30584*T1^6*T2^9 + 18906*T1^7*T2^9 + 
      18906*T1^8*T2^9 - 30584*T1^9*T2^9 + 13999*T1^10*T2^9 + 
      2694*T1^11*T2^9 - 2122*T1^12*T2^9 + 1634*T1^4*T2^10 - 5022*T1^5*T2^10 + 
      177*T1^6*T2^10 + 13999*T1^7*T2^10 - 23543*T1^8*T2^10 + 
      13999*T1^9*T2^10 + 177*T1^10*T2^10 - 5022*T1^11*T2^10 + 
      1634*T1^12*T2^10 - 724*T1^5*T2^11 + 3256*T1^6*T2^11 - 5022*T1^7*T2^11 + 
      2694*T1^8*T2^11 + 2694*T1^9*T2^11 - 5022*T1^10*T2^11 + 
      3256*T1^11*T2^11 - 724*T1^12*T2^11 + 132*T1^6*T2^12 - 724*T1^7*T2^12 + 
      1634*T1^8*T2^12 - 2122*T1^9*T2^12 + 1634*T1^10*T2^12 - 
      724*T1^11*T2^12 + 132*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), (1 - 8*T1 + 22*T1^2 - 37*T1^3 + 43*T1^4 - 37*T1^5 + 22*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 112*T1^2*T2 + 120*T1^3*T2 - 
     48*T1^4*T2 - 48*T1^5*T2 + 120*T1^6*T2 - 112*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 22*T2^2 - 112*T1*T2^2 - 4*T1^2*T2^2 + 409*T1^3*T2^2 - 
     915*T1^4*T2^2 + 1094*T1^5*T2^2 - 915*T1^6*T2^2 + 409*T1^7*T2^2 - 
     4*T1^8*T2^2 - 112*T1^9*T2^2 + 22*T1^10*T2^2 - 37*T2^3 + 120*T1*T2^3 + 
     409*T1^2*T2^3 - 1132*T1^3*T2^3 + 1355*T1^4*T2^3 - 516*T1^5*T2^3 - 
     516*T1^6*T2^3 + 1355*T1^7*T2^3 - 1132*T1^8*T2^3 + 409*T1^9*T2^3 + 
     120*T1^10*T2^3 - 37*T1^11*T2^3 + 43*T2^4 - 48*T1*T2^4 - 915*T1^2*T2^4 + 
     1355*T1^3*T2^4 - 598*T1^4*T2^4 - 1199*T1^5*T2^4 + 1728*T1^6*T2^4 - 
     1199*T1^7*T2^4 - 598*T1^8*T2^4 + 1355*T1^9*T2^4 - 915*T1^10*T2^4 - 
     48*T1^11*T2^4 + 43*T1^12*T2^4 - 37*T2^5 - 48*T1*T2^5 + 1094*T1^2*T2^5 - 
     516*T1^3*T2^5 - 1199*T1^4*T2^5 + 2670*T1^5*T2^5 - 1054*T1^6*T2^5 - 
     1054*T1^7*T2^5 + 2670*T1^8*T2^5 - 1199*T1^9*T2^5 - 516*T1^10*T2^5 + 
     1094*T1^11*T2^5 - 48*T1^12*T2^5 - 37*T1^13*T2^5 + 22*T2^6 + 
     120*T1*T2^6 - 915*T1^2*T2^6 - 516*T1^3*T2^6 + 1728*T1^4*T2^6 - 
     1054*T1^5*T2^6 - 2647*T1^6*T2^6 + 3913*T1^7*T2^6 - 2647*T1^8*T2^6 - 
     1054*T1^9*T2^6 + 1728*T1^10*T2^6 - 516*T1^11*T2^6 - 915*T1^12*T2^6 + 
     120*T1^13*T2^6 + 22*T1^14*T2^6 - 8*T2^7 - 112*T1*T2^7 + 409*T1^2*T2^7 + 
     1355*T1^3*T2^7 - 1199*T1^4*T2^7 - 1054*T1^5*T2^7 + 3913*T1^6*T2^7 - 
     1736*T1^7*T2^7 - 1736*T1^8*T2^7 + 3913*T1^9*T2^7 - 1054*T1^10*T2^7 - 
     1199*T1^11*T2^7 + 1355*T1^12*T2^7 + 409*T1^13*T2^7 - 112*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 - 4*T1^2*T2^8 - 1132*T1^3*T2^8 - 
     598*T1^4*T2^8 + 2670*T1^5*T2^8 - 2647*T1^6*T2^8 - 1736*T1^7*T2^8 + 
     3468*T1^8*T2^8 - 1736*T1^9*T2^8 - 2647*T1^10*T2^8 + 2670*T1^11*T2^8 - 
     598*T1^12*T2^8 - 1132*T1^13*T2^8 - 4*T1^14*T2^8 + 56*T1^15*T2^8 + 
     T1^16*T2^8 - 8*T1*T2^9 - 112*T1^2*T2^9 + 409*T1^3*T2^9 + 
     1355*T1^4*T2^9 - 1199*T1^5*T2^9 - 1054*T1^6*T2^9 + 3913*T1^7*T2^9 - 
     1736*T1^8*T2^9 - 1736*T1^9*T2^9 + 3913*T1^10*T2^9 - 1054*T1^11*T2^9 - 
     1199*T1^12*T2^9 + 1355*T1^13*T2^9 + 409*T1^14*T2^9 - 112*T1^15*T2^9 - 
     8*T1^16*T2^9 + 22*T1^2*T2^10 + 120*T1^3*T2^10 - 915*T1^4*T2^10 - 
     516*T1^5*T2^10 + 1728*T1^6*T2^10 - 1054*T1^7*T2^10 - 2647*T1^8*T2^10 + 
     3913*T1^9*T2^10 - 2647*T1^10*T2^10 - 1054*T1^11*T2^10 + 
     1728*T1^12*T2^10 - 516*T1^13*T2^10 - 915*T1^14*T2^10 + 120*T1^15*T2^10 + 
     22*T1^16*T2^10 - 37*T1^3*T2^11 - 48*T1^4*T2^11 + 1094*T1^5*T2^11 - 
     516*T1^6*T2^11 - 1199*T1^7*T2^11 + 2670*T1^8*T2^11 - 1054*T1^9*T2^11 - 
     1054*T1^10*T2^11 + 2670*T1^11*T2^11 - 1199*T1^12*T2^11 - 
     516*T1^13*T2^11 + 1094*T1^14*T2^11 - 48*T1^15*T2^11 - 37*T1^16*T2^11 + 
     43*T1^4*T2^12 - 48*T1^5*T2^12 - 915*T1^6*T2^12 + 1355*T1^7*T2^12 - 
     598*T1^8*T2^12 - 1199*T1^9*T2^12 + 1728*T1^10*T2^12 - 1199*T1^11*T2^12 - 
     598*T1^12*T2^12 + 1355*T1^13*T2^12 - 915*T1^14*T2^12 - 48*T1^15*T2^12 + 
     43*T1^16*T2^12 - 37*T1^5*T2^13 + 120*T1^6*T2^13 + 409*T1^7*T2^13 - 
     1132*T1^8*T2^13 + 1355*T1^9*T2^13 - 516*T1^10*T2^13 - 516*T1^11*T2^13 + 
     1355*T1^12*T2^13 - 1132*T1^13*T2^13 + 409*T1^14*T2^13 + 
     120*T1^15*T2^13 - 37*T1^16*T2^13 + 22*T1^6*T2^14 - 112*T1^7*T2^14 - 
     4*T1^8*T2^14 + 409*T1^9*T2^14 - 915*T1^10*T2^14 + 1094*T1^11*T2^14 - 
     915*T1^12*T2^14 + 409*T1^13*T2^14 - 4*T1^14*T2^14 - 112*T1^15*T2^14 + 
     22*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 112*T1^9*T2^15 + 
     120*T1^10*T2^15 - 48*T1^11*T2^15 - 48*T1^12*T2^15 + 120*T1^13*T2^15 - 
     112*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
     8*T1^9*T2^16 + 22*T1^10*T2^16 - 37*T1^11*T2^16 + 43*T1^12*T2^16 - 
     37*T1^13*T2^16 + 22*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, 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, 
   (2 - 3*T1 - 2*T1^2 + 12*T1^3 - 2*T1^4 - 3*T1^5 + 2*T1^6 - 3*T2 - 
     26*T1*T2 + 76*T1^2*T2 - 78*T1^3*T2 - 78*T1^4*T2 + 76*T1^5*T2 - 
     26*T1^6*T2 - 3*T1^7*T2 - 2*T2^2 + 76*T1*T2^2 + 11*T1^2*T2^2 - 
     424*T1^3*T2^2 + 989*T1^4*T2^2 - 424*T1^5*T2^2 + 11*T1^6*T2^2 + 
     76*T1^7*T2^2 - 2*T1^8*T2^2 + 12*T2^3 - 78*T1*T2^3 - 424*T1^2*T2^3 + 
     1204*T1^3*T2^3 - 1205*T1^4*T2^3 - 1205*T1^5*T2^3 + 1204*T1^6*T2^3 - 
     424*T1^7*T2^3 - 78*T1^8*T2^3 + 12*T1^9*T2^3 - 2*T2^4 - 78*T1*T2^4 + 
     989*T1^2*T2^4 - 1205*T1^3*T2^4 - 504*T1^4*T2^4 + 3744*T1^5*T2^4 - 
     504*T1^6*T2^4 - 1205*T1^7*T2^4 + 989*T1^8*T2^4 - 78*T1^9*T2^4 - 
     2*T1^10*T2^4 - 3*T2^5 + 76*T1*T2^5 - 424*T1^2*T2^5 - 1205*T1^3*T2^5 + 
     3744*T1^4*T2^5 - 3878*T1^5*T2^5 - 3878*T1^6*T2^5 + 3744*T1^7*T2^5 - 
     1205*T1^8*T2^5 - 424*T1^9*T2^5 + 76*T1^10*T2^5 - 3*T1^11*T2^5 + 2*T2^6 - 
     26*T1*T2^6 + 11*T1^2*T2^6 + 1204*T1^3*T2^6 - 504*T1^4*T2^6 - 
     3878*T1^5*T2^6 + 10308*T1^6*T2^6 - 3878*T1^7*T2^6 - 504*T1^8*T2^6 + 
     1204*T1^9*T2^6 + 11*T1^10*T2^6 - 26*T1^11*T2^6 + 2*T1^12*T2^6 - 
     3*T1*T2^7 + 76*T1^2*T2^7 - 424*T1^3*T2^7 - 1205*T1^4*T2^7 + 
     3744*T1^5*T2^7 - 3878*T1^6*T2^7 - 3878*T1^7*T2^7 + 3744*T1^8*T2^7 - 
     1205*T1^9*T2^7 - 424*T1^10*T2^7 + 76*T1^11*T2^7 - 3*T1^12*T2^7 - 
     2*T1^2*T2^8 - 78*T1^3*T2^8 + 989*T1^4*T2^8 - 1205*T1^5*T2^8 - 
     504*T1^6*T2^8 + 3744*T1^7*T2^8 - 504*T1^8*T2^8 - 1205*T1^9*T2^8 + 
     989*T1^10*T2^8 - 78*T1^11*T2^8 - 2*T1^12*T2^8 + 12*T1^3*T2^9 - 
     78*T1^4*T2^9 - 424*T1^5*T2^9 + 1204*T1^6*T2^9 - 1205*T1^7*T2^9 - 
     1205*T1^8*T2^9 + 1204*T1^9*T2^9 - 424*T1^10*T2^9 - 78*T1^11*T2^9 + 
     12*T1^12*T2^9 - 2*T1^4*T2^10 + 76*T1^5*T2^10 + 11*T1^6*T2^10 - 
     424*T1^7*T2^10 + 989*T1^8*T2^10 - 424*T1^9*T2^10 + 11*T1^10*T2^10 + 
     76*T1^11*T2^10 - 2*T1^12*T2^10 - 3*T1^5*T2^11 - 26*T1^6*T2^11 + 
     76*T1^7*T2^11 - 78*T1^8*T2^11 - 78*T1^9*T2^11 + 76*T1^10*T2^11 - 
     26*T1^11*T2^11 - 3*T1^12*T2^11 + 2*T1^6*T2^12 - 3*T1^7*T2^12 - 
     2*T1^8*T2^12 + 12*T1^9*T2^12 - 2*T1^10*T2^12 - 3*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^6*T2^6)}, 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), (1 - 8*T1 + 26*T1^2 - 47*T1^3 + 55*T1^4 - 47*T1^5 + 26*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 144*T1^2*T2 + 168*T1^3*T2 - 
     64*T1^4*T2 - 64*T1^5*T2 + 168*T1^6*T2 - 144*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 26*T2^2 - 144*T1*T2^2 + 190*T1^2*T2^2 + 236*T1^3*T2^2 - 
     909*T1^4*T2^2 + 1088*T1^5*T2^2 - 909*T1^6*T2^2 + 236*T1^7*T2^2 + 
     190*T1^8*T2^2 - 144*T1^9*T2^2 + 26*T1^10*T2^2 - 47*T2^3 + 168*T1*T2^3 + 
     236*T1^2*T2^3 - 1610*T1^3*T2^3 + 2229*T1^4*T2^3 - 736*T1^5*T2^3 - 
     736*T1^6*T2^3 + 2229*T1^7*T2^3 - 1610*T1^8*T2^3 + 236*T1^9*T2^3 + 
     168*T1^10*T2^3 - 47*T1^11*T2^3 + 55*T2^4 - 64*T1*T2^4 - 909*T1^2*T2^4 + 
     2229*T1^3*T2^4 - 58*T1^4*T2^4 - 4704*T1^5*T2^4 + 5560*T1^6*T2^4 - 
     4704*T1^7*T2^4 - 58*T1^8*T2^4 + 2229*T1^9*T2^4 - 909*T1^10*T2^4 - 
     64*T1^11*T2^4 + 55*T1^12*T2^4 - 47*T2^5 - 64*T1*T2^5 + 1088*T1^2*T2^5 - 
     736*T1^3*T2^5 - 4704*T1^4*T2^5 + 8524*T1^5*T2^5 - 2722*T1^6*T2^5 - 
     2722*T1^7*T2^5 + 8524*T1^8*T2^5 - 4704*T1^9*T2^5 - 736*T1^10*T2^5 + 
     1088*T1^11*T2^5 - 64*T1^12*T2^5 - 47*T1^13*T2^5 + 26*T2^6 + 
     168*T1*T2^6 - 909*T1^2*T2^6 - 736*T1^3*T2^6 + 5560*T1^4*T2^6 - 
     2722*T1^5*T2^6 - 9506*T1^6*T2^6 + 12176*T1^7*T2^6 - 9506*T1^8*T2^6 - 
     2722*T1^9*T2^6 + 5560*T1^10*T2^6 - 736*T1^11*T2^6 - 909*T1^12*T2^6 + 
     168*T1^13*T2^6 + 26*T1^14*T2^6 - 8*T2^7 - 144*T1*T2^7 + 236*T1^2*T2^7 + 
     2229*T1^3*T2^7 - 4704*T1^4*T2^7 - 2722*T1^5*T2^7 + 12176*T1^6*T2^7 - 
     4562*T1^7*T2^7 - 4562*T1^8*T2^7 + 12176*T1^9*T2^7 - 2722*T1^10*T2^7 - 
     4704*T1^11*T2^7 + 2229*T1^12*T2^7 + 236*T1^13*T2^7 - 144*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 190*T1^2*T2^8 - 1610*T1^3*T2^8 - 
     58*T1^4*T2^8 + 8524*T1^5*T2^8 - 9506*T1^6*T2^8 - 4562*T1^7*T2^8 + 
     8616*T1^8*T2^8 - 4562*T1^9*T2^8 - 9506*T1^10*T2^8 + 8524*T1^11*T2^8 - 
     58*T1^12*T2^8 - 1610*T1^13*T2^8 + 190*T1^14*T2^8 + 56*T1^15*T2^8 + 
     T1^16*T2^8 - 8*T1*T2^9 - 144*T1^2*T2^9 + 236*T1^3*T2^9 + 
     2229*T1^4*T2^9 - 4704*T1^5*T2^9 - 2722*T1^6*T2^9 + 12176*T1^7*T2^9 - 
     4562*T1^8*T2^9 - 4562*T1^9*T2^9 + 12176*T1^10*T2^9 - 2722*T1^11*T2^9 - 
     4704*T1^12*T2^9 + 2229*T1^13*T2^9 + 236*T1^14*T2^9 - 144*T1^15*T2^9 - 
     8*T1^16*T2^9 + 26*T1^2*T2^10 + 168*T1^3*T2^10 - 909*T1^4*T2^10 - 
     736*T1^5*T2^10 + 5560*T1^6*T2^10 - 2722*T1^7*T2^10 - 9506*T1^8*T2^10 + 
     12176*T1^9*T2^10 - 9506*T1^10*T2^10 - 2722*T1^11*T2^10 + 
     5560*T1^12*T2^10 - 736*T1^13*T2^10 - 909*T1^14*T2^10 + 168*T1^15*T2^10 + 
     26*T1^16*T2^10 - 47*T1^3*T2^11 - 64*T1^4*T2^11 + 1088*T1^5*T2^11 - 
     736*T1^6*T2^11 - 4704*T1^7*T2^11 + 8524*T1^8*T2^11 - 2722*T1^9*T2^11 - 
     2722*T1^10*T2^11 + 8524*T1^11*T2^11 - 4704*T1^12*T2^11 - 
     736*T1^13*T2^11 + 1088*T1^14*T2^11 - 64*T1^15*T2^11 - 47*T1^16*T2^11 + 
     55*T1^4*T2^12 - 64*T1^5*T2^12 - 909*T1^6*T2^12 + 2229*T1^7*T2^12 - 
     58*T1^8*T2^12 - 4704*T1^9*T2^12 + 5560*T1^10*T2^12 - 4704*T1^11*T2^12 - 
     58*T1^12*T2^12 + 2229*T1^13*T2^12 - 909*T1^14*T2^12 - 64*T1^15*T2^12 + 
     55*T1^16*T2^12 - 47*T1^5*T2^13 + 168*T1^6*T2^13 + 236*T1^7*T2^13 - 
     1610*T1^8*T2^13 + 2229*T1^9*T2^13 - 736*T1^10*T2^13 - 736*T1^11*T2^13 + 
     2229*T1^12*T2^13 - 1610*T1^13*T2^13 + 236*T1^14*T2^13 + 
     168*T1^15*T2^13 - 47*T1^16*T2^13 + 26*T1^6*T2^14 - 144*T1^7*T2^14 + 
     190*T1^8*T2^14 + 236*T1^9*T2^14 - 909*T1^10*T2^14 + 1088*T1^11*T2^14 - 
     909*T1^12*T2^14 + 236*T1^13*T2^14 + 190*T1^14*T2^14 - 144*T1^15*T2^14 + 
     26*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 144*T1^9*T2^15 + 
     168*T1^10*T2^15 - 64*T1^11*T2^15 - 64*T1^12*T2^15 + 168*T1^13*T2^15 - 
     144*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
     8*T1^9*T2^16 + 26*T1^10*T2^16 - 47*T1^11*T2^16 + 55*T1^12*T2^16 - 
     47*T1^13*T2^16 + 26*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 68] -> 
  {-(((1 - 3*T + T^2)*(2 - 9*T + 15*T^2 - 9*T^3 + 2*T^4))/T^3), 
   (1 - 8*T1 + 24*T1^2 - 35*T1^3 + 24*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
     56*T1*T2 - 128*T1^2*T2 + 88*T1^3*T2 + 88*T1^4*T2 - 128*T1^5*T2 + 
     56*T1^6*T2 - 8*T1^7*T2 + 24*T2^2 - 128*T1*T2^2 + 81*T1^2*T2^2 + 
     541*T1^3*T2^2 - 1153*T1^4*T2^2 + 541*T1^5*T2^2 + 81*T1^6*T2^2 - 
     128*T1^7*T2^2 + 24*T1^8*T2^2 - 35*T2^3 + 88*T1*T2^3 + 541*T1^2*T2^3 - 
     2038*T1^3*T2^3 + 1694*T1^4*T2^3 + 1694*T1^5*T2^3 - 2038*T1^6*T2^3 + 
     541*T1^7*T2^3 + 88*T1^8*T2^3 - 35*T1^9*T2^3 + 24*T2^4 + 88*T1*T2^4 - 
     1153*T1^2*T2^4 + 1694*T1^3*T2^4 + 2727*T1^4*T2^4 - 8119*T1^5*T2^4 + 
     2727*T1^6*T2^4 + 1694*T1^7*T2^4 - 1153*T1^8*T2^4 + 88*T1^9*T2^4 + 
     24*T1^10*T2^4 - 8*T2^5 - 128*T1*T2^5 + 541*T1^2*T2^5 + 1694*T1^3*T2^5 - 
     8119*T1^4*T2^5 + 7242*T1^5*T2^5 + 7242*T1^6*T2^5 - 8119*T1^7*T2^5 + 
     1694*T1^8*T2^5 + 541*T1^9*T2^5 - 128*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
     56*T1*T2^6 + 81*T1^2*T2^6 - 2038*T1^3*T2^6 + 2727*T1^4*T2^6 + 
     7242*T1^5*T2^6 - 19104*T1^6*T2^6 + 7242*T1^7*T2^6 + 2727*T1^8*T2^6 - 
     2038*T1^9*T2^6 + 81*T1^10*T2^6 + 56*T1^11*T2^6 + T1^12*T2^6 - 
     8*T1*T2^7 - 128*T1^2*T2^7 + 541*T1^3*T2^7 + 1694*T1^4*T2^7 - 
     8119*T1^5*T2^7 + 7242*T1^6*T2^7 + 7242*T1^7*T2^7 - 8119*T1^8*T2^7 + 
     1694*T1^9*T2^7 + 541*T1^10*T2^7 - 128*T1^11*T2^7 - 8*T1^12*T2^7 + 
     24*T1^2*T2^8 + 88*T1^3*T2^8 - 1153*T1^4*T2^8 + 1694*T1^5*T2^8 + 
     2727*T1^6*T2^8 - 8119*T1^7*T2^8 + 2727*T1^8*T2^8 + 1694*T1^9*T2^8 - 
     1153*T1^10*T2^8 + 88*T1^11*T2^8 + 24*T1^12*T2^8 - 35*T1^3*T2^9 + 
     88*T1^4*T2^9 + 541*T1^5*T2^9 - 2038*T1^6*T2^9 + 1694*T1^7*T2^9 + 
     1694*T1^8*T2^9 - 2038*T1^9*T2^9 + 541*T1^10*T2^9 + 88*T1^11*T2^9 - 
     35*T1^12*T2^9 + 24*T1^4*T2^10 - 128*T1^5*T2^10 + 81*T1^6*T2^10 + 
     541*T1^7*T2^10 - 1153*T1^8*T2^10 + 541*T1^9*T2^10 + 81*T1^10*T2^10 - 
     128*T1^11*T2^10 + 24*T1^12*T2^10 - 8*T1^5*T2^11 + 56*T1^6*T2^11 - 
     128*T1^7*T2^11 + 88*T1^8*T2^11 + 88*T1^9*T2^11 - 128*T1^10*T2^11 + 
     56*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
     24*T1^8*T2^12 - 35*T1^9*T2^12 + 24*T1^10*T2^12 - 8*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, 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), (1 - 8*T1 + 27*T1^2 - 52*T1^3 + 63*T1^4 - 52*T1^5 + 27*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 152*T1^2*T2 + 200*T1^3*T2 - 
     88*T1^4*T2 - 88*T1^5*T2 + 200*T1^6*T2 - 152*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 27*T2^2 - 152*T1*T2^2 + 243*T1^2*T2^2 + 115*T1^3*T2^2 - 
     919*T1^4*T2^2 + 1253*T1^5*T2^2 - 919*T1^6*T2^2 + 115*T1^7*T2^2 + 
     243*T1^8*T2^2 - 152*T1^9*T2^2 + 27*T1^10*T2^2 - 52*T2^3 + 200*T1*T2^3 + 
     115*T1^2*T2^3 - 1494*T1^3*T2^3 + 2638*T1^4*T2^3 - 1134*T1^5*T2^3 - 
     1134*T1^6*T2^3 + 2638*T1^7*T2^3 - 1494*T1^8*T2^3 + 115*T1^9*T2^3 + 
     200*T1^10*T2^3 - 52*T1^11*T2^3 + 63*T2^4 - 88*T1*T2^4 - 919*T1^2*T2^4 + 
     2638*T1^3*T2^4 - 1351*T1^4*T2^4 - 4524*T1^5*T2^4 + 6643*T1^6*T2^4 - 
     4524*T1^7*T2^4 - 1351*T1^8*T2^4 + 2638*T1^9*T2^4 - 919*T1^10*T2^4 - 
     88*T1^11*T2^4 + 63*T1^12*T2^4 - 52*T2^5 - 88*T1*T2^5 + 1253*T1^2*T2^5 - 
     1134*T1^3*T2^5 - 4524*T1^4*T2^5 + 11164*T1^5*T2^5 - 4652*T1^6*T2^5 - 
     4652*T1^7*T2^5 + 11164*T1^8*T2^5 - 4524*T1^9*T2^5 - 1134*T1^10*T2^5 + 
     1253*T1^11*T2^5 - 88*T1^12*T2^5 - 52*T1^13*T2^5 + 27*T2^6 + 
     200*T1*T2^6 - 919*T1^2*T2^6 - 1134*T1^3*T2^6 + 6643*T1^4*T2^6 - 
     4652*T1^5*T2^6 - 13344*T1^6*T2^6 + 19520*T1^7*T2^6 - 13344*T1^8*T2^6 - 
     4652*T1^9*T2^6 + 6643*T1^10*T2^6 - 1134*T1^11*T2^6 - 919*T1^12*T2^6 + 
     200*T1^13*T2^6 + 27*T1^14*T2^6 - 8*T2^7 - 152*T1*T2^7 + 115*T1^2*T2^7 + 
     2638*T1^3*T2^7 - 4524*T1^4*T2^7 - 4652*T1^5*T2^7 + 19520*T1^6*T2^7 - 
     8254*T1^7*T2^7 - 8254*T1^8*T2^7 + 19520*T1^9*T2^7 - 4652*T1^10*T2^7 - 
     4524*T1^11*T2^7 + 2638*T1^12*T2^7 + 115*T1^13*T2^7 - 152*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 243*T1^2*T2^8 - 1494*T1^3*T2^8 - 
     1351*T1^4*T2^8 + 11164*T1^5*T2^8 - 13344*T1^6*T2^8 - 8254*T1^7*T2^8 + 
     15588*T1^8*T2^8 - 8254*T1^9*T2^8 - 13344*T1^10*T2^8 + 11164*T1^11*T2^8 - 
     1351*T1^12*T2^8 - 1494*T1^13*T2^8 + 243*T1^14*T2^8 + 56*T1^15*T2^8 + 
     T1^16*T2^8 - 8*T1*T2^9 - 152*T1^2*T2^9 + 115*T1^3*T2^9 + 
     2638*T1^4*T2^9 - 4524*T1^5*T2^9 - 4652*T1^6*T2^9 + 19520*T1^7*T2^9 - 
     8254*T1^8*T2^9 - 8254*T1^9*T2^9 + 19520*T1^10*T2^9 - 4652*T1^11*T2^9 - 
     4524*T1^12*T2^9 + 2638*T1^13*T2^9 + 115*T1^14*T2^9 - 152*T1^15*T2^9 - 
     8*T1^16*T2^9 + 27*T1^2*T2^10 + 200*T1^3*T2^10 - 919*T1^4*T2^10 - 
     1134*T1^5*T2^10 + 6643*T1^6*T2^10 - 4652*T1^7*T2^10 - 13344*T1^8*T2^10 + 
     19520*T1^9*T2^10 - 13344*T1^10*T2^10 - 4652*T1^11*T2^10 + 
     6643*T1^12*T2^10 - 1134*T1^13*T2^10 - 919*T1^14*T2^10 + 
     200*T1^15*T2^10 + 27*T1^16*T2^10 - 52*T1^3*T2^11 - 88*T1^4*T2^11 + 
     1253*T1^5*T2^11 - 1134*T1^6*T2^11 - 4524*T1^7*T2^11 + 11164*T1^8*T2^11 - 
     4652*T1^9*T2^11 - 4652*T1^10*T2^11 + 11164*T1^11*T2^11 - 
     4524*T1^12*T2^11 - 1134*T1^13*T2^11 + 1253*T1^14*T2^11 - 
     88*T1^15*T2^11 - 52*T1^16*T2^11 + 63*T1^4*T2^12 - 88*T1^5*T2^12 - 
     919*T1^6*T2^12 + 2638*T1^7*T2^12 - 1351*T1^8*T2^12 - 4524*T1^9*T2^12 + 
     6643*T1^10*T2^12 - 4524*T1^11*T2^12 - 1351*T1^12*T2^12 + 
     2638*T1^13*T2^12 - 919*T1^14*T2^12 - 88*T1^15*T2^12 + 63*T1^16*T2^12 - 
     52*T1^5*T2^13 + 200*T1^6*T2^13 + 115*T1^7*T2^13 - 1494*T1^8*T2^13 + 
     2638*T1^9*T2^13 - 1134*T1^10*T2^13 - 1134*T1^11*T2^13 + 
     2638*T1^12*T2^13 - 1494*T1^13*T2^13 + 115*T1^14*T2^13 + 
     200*T1^15*T2^13 - 52*T1^16*T2^13 + 27*T1^6*T2^14 - 152*T1^7*T2^14 + 
     243*T1^8*T2^14 + 115*T1^9*T2^14 - 919*T1^10*T2^14 + 1253*T1^11*T2^14 - 
     919*T1^12*T2^14 + 115*T1^13*T2^14 + 243*T1^14*T2^14 - 152*T1^15*T2^14 + 
     27*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 152*T1^9*T2^15 + 
     200*T1^10*T2^15 - 88*T1^11*T2^15 - 88*T1^12*T2^15 + 200*T1^13*T2^15 - 
     152*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
     8*T1^9*T2^16 + 27*T1^10*T2^16 - 52*T1^11*T2^16 + 63*T1^12*T2^16 - 
     52*T1^13*T2^16 + 27*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, 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 + 112*T1*T2 - 304*T1^2*T2 + 368*T1^3*T2 - 
      176*T1^4*T2 - 176*T1^5*T2 + 368*T1^6*T2 - 304*T1^7*T2 + 112*T1^8*T2 - 
      16*T1^9*T2 + 54*T2^2 - 304*T1*T2^2 + 487*T1^2*T2^2 + 328*T1^3*T2^2 - 
      1660*T1^4*T2^2 + 2423*T1^5*T2^2 - 1660*T1^6*T2^2 + 328*T1^7*T2^2 + 
      487*T1^8*T2^2 - 304*T1^9*T2^2 + 54*T1^10*T2^2 - 100*T2^3 + 
      368*T1*T2^3 + 328*T1^2*T2^3 - 3310*T1^3*T2^3 + 4664*T1^4*T2^3 - 
      2459*T1^5*T2^3 - 2459*T1^6*T2^3 + 4664*T1^7*T2^3 - 3310*T1^8*T2^3 + 
      328*T1^9*T2^3 + 368*T1^10*T2^3 - 100*T1^11*T2^3 + 122*T2^4 - 
      176*T1*T2^4 - 1660*T1^2*T2^4 + 4664*T1^3*T2^4 + 344*T1^4*T2^4 - 
      9507*T1^5*T2^4 + 15442*T1^6*T2^4 - 9507*T1^7*T2^4 + 344*T1^8*T2^4 + 
      4664*T1^9*T2^4 - 1660*T1^10*T2^4 - 176*T1^11*T2^4 + 122*T1^12*T2^4 - 
      100*T2^5 - 176*T1*T2^5 + 2423*T1^2*T2^5 - 2459*T1^3*T2^5 - 
      9507*T1^4*T2^5 + 15946*T1^5*T2^5 - 9400*T1^6*T2^5 - 9400*T1^7*T2^5 + 
      15946*T1^8*T2^5 - 9507*T1^9*T2^5 - 2459*T1^10*T2^5 + 2423*T1^11*T2^5 - 
      176*T1^12*T2^5 - 100*T1^13*T2^5 + 54*T2^6 + 368*T1*T2^6 - 
      1660*T1^2*T2^6 - 2459*T1^3*T2^6 + 15442*T1^4*T2^6 - 9400*T1^5*T2^6 - 
      7581*T1^6*T2^6 + 21457*T1^7*T2^6 - 7581*T1^8*T2^6 - 9400*T1^9*T2^6 + 
      15442*T1^10*T2^6 - 2459*T1^11*T2^6 - 1660*T1^12*T2^6 + 368*T1^13*T2^6 + 
      54*T1^14*T2^6 - 16*T2^7 - 304*T1*T2^7 + 328*T1^2*T2^7 + 
      4664*T1^3*T2^7 - 9507*T1^4*T2^7 - 9400*T1^5*T2^7 + 21457*T1^6*T2^7 - 
      14608*T1^7*T2^7 - 14608*T1^8*T2^7 + 21457*T1^9*T2^7 - 9400*T1^10*T2^7 - 
      9507*T1^11*T2^7 + 4664*T1^12*T2^7 + 328*T1^13*T2^7 - 304*T1^14*T2^7 - 
      16*T1^15*T2^7 + 2*T2^8 + 112*T1*T2^8 + 487*T1^2*T2^8 - 3310*T1^3*T2^8 + 
      344*T1^4*T2^8 + 15946*T1^5*T2^8 - 7581*T1^6*T2^8 - 14608*T1^7*T2^8 + 
      33480*T1^8*T2^8 - 14608*T1^9*T2^8 - 7581*T1^10*T2^8 + 
      15946*T1^11*T2^8 + 344*T1^12*T2^8 - 3310*T1^13*T2^8 + 487*T1^14*T2^8 + 
      112*T1^15*T2^8 + 2*T1^16*T2^8 - 16*T1*T2^9 - 304*T1^2*T2^9 + 
      328*T1^3*T2^9 + 4664*T1^4*T2^9 - 9507*T1^5*T2^9 - 9400*T1^6*T2^9 + 
      21457*T1^7*T2^9 - 14608*T1^8*T2^9 - 14608*T1^9*T2^9 + 
      21457*T1^10*T2^9 - 9400*T1^11*T2^9 - 9507*T1^12*T2^9 + 
      4664*T1^13*T2^9 + 328*T1^14*T2^9 - 304*T1^15*T2^9 - 16*T1^16*T2^9 + 
      54*T1^2*T2^10 + 368*T1^3*T2^10 - 1660*T1^4*T2^10 - 2459*T1^5*T2^10 + 
      15442*T1^6*T2^10 - 9400*T1^7*T2^10 - 7581*T1^8*T2^10 + 
      21457*T1^9*T2^10 - 7581*T1^10*T2^10 - 9400*T1^11*T2^10 + 
      15442*T1^12*T2^10 - 2459*T1^13*T2^10 - 1660*T1^14*T2^10 + 
      368*T1^15*T2^10 + 54*T1^16*T2^10 - 100*T1^3*T2^11 - 176*T1^4*T2^11 + 
      2423*T1^5*T2^11 - 2459*T1^6*T2^11 - 9507*T1^7*T2^11 + 
      15946*T1^8*T2^11 - 9400*T1^9*T2^11 - 9400*T1^10*T2^11 + 
      15946*T1^11*T2^11 - 9507*T1^12*T2^11 - 2459*T1^13*T2^11 + 
      2423*T1^14*T2^11 - 176*T1^15*T2^11 - 100*T1^16*T2^11 + 122*T1^4*T2^12 - 
      176*T1^5*T2^12 - 1660*T1^6*T2^12 + 4664*T1^7*T2^12 + 344*T1^8*T2^12 - 
      9507*T1^9*T2^12 + 15442*T1^10*T2^12 - 9507*T1^11*T2^12 + 
      344*T1^12*T2^12 + 4664*T1^13*T2^12 - 1660*T1^14*T2^12 - 
      176*T1^15*T2^12 + 122*T1^16*T2^12 - 100*T1^5*T2^13 + 368*T1^6*T2^13 + 
      328*T1^7*T2^13 - 3310*T1^8*T2^13 + 4664*T1^9*T2^13 - 2459*T1^10*T2^13 - 
      2459*T1^11*T2^13 + 4664*T1^12*T2^13 - 3310*T1^13*T2^13 + 
      328*T1^14*T2^13 + 368*T1^15*T2^13 - 100*T1^16*T2^13 + 54*T1^6*T2^14 - 
      304*T1^7*T2^14 + 487*T1^8*T2^14 + 328*T1^9*T2^14 - 1660*T1^10*T2^14 + 
      2423*T1^11*T2^14 - 1660*T1^12*T2^14 + 328*T1^13*T2^14 + 
      487*T1^14*T2^14 - 304*T1^15*T2^14 + 54*T1^16*T2^14 - 16*T1^7*T2^15 + 
      112*T1^8*T2^15 - 304*T1^9*T2^15 + 368*T1^10*T2^15 - 176*T1^11*T2^15 - 
      176*T1^12*T2^15 + 368*T1^13*T2^15 - 304*T1^14*T2^15 + 112*T1^15*T2^15 - 
      16*T1^16*T2^15 + 2*T1^8*T2^16 - 16*T1^9*T2^16 + 54*T1^10*T2^16 - 
      100*T1^11*T2^16 + 122*T1^12*T2^16 - 100*T1^13*T2^16 + 54*T1^14*T2^16 - 
      16*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 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), -((1 - 8*T1 + 25*T1^2 - 44*T1^3 + 51*T1^4 - 44*T1^5 + 25*T1^6 - 
      8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 136*T1^2*T2 + 152*T1^3*T2 - 
      56*T1^4*T2 - 56*T1^5*T2 + 152*T1^6*T2 - 136*T1^7*T2 + 56*T1^8*T2 - 
      8*T1^9*T2 + 25*T2^2 - 136*T1*T2^2 + 137*T1^2*T2^2 + 307*T1^3*T2^2 - 
      935*T1^4*T2^2 + 1091*T1^5*T2^2 - 935*T1^6*T2^2 + 307*T1^7*T2^2 + 
      137*T1^8*T2^2 - 136*T1^9*T2^2 + 25*T1^10*T2^2 - 44*T2^3 + 152*T1*T2^3 + 
      307*T1^2*T2^3 - 1560*T1^3*T2^3 + 2023*T1^4*T2^3 - 644*T1^5*T2^3 - 
      644*T1^6*T2^3 + 2023*T1^7*T2^3 - 1560*T1^8*T2^3 + 307*T1^9*T2^3 + 
      152*T1^10*T2^3 - 44*T1^11*T2^3 + 51*T2^4 - 56*T1*T2^4 - 935*T1^2*T2^4 + 
      2023*T1^3*T2^4 - 84*T1^4*T2^4 - 3895*T1^5*T2^4 + 4514*T1^6*T2^4 - 
      3895*T1^7*T2^4 - 84*T1^8*T2^4 + 2023*T1^9*T2^4 - 935*T1^10*T2^4 - 
      56*T1^11*T2^4 + 51*T1^12*T2^4 - 44*T2^5 - 56*T1*T2^5 + 1091*T1^2*T2^5 - 
      644*T1^3*T2^5 - 3895*T1^4*T2^5 + 6968*T1^5*T2^5 - 2183*T1^6*T2^5 - 
      2183*T1^7*T2^5 + 6968*T1^8*T2^5 - 3895*T1^9*T2^5 - 644*T1^10*T2^5 + 
      1091*T1^11*T2^5 - 56*T1^12*T2^5 - 44*T1^13*T2^5 + 25*T2^6 + 
      152*T1*T2^6 - 935*T1^2*T2^6 - 644*T1^3*T2^6 + 4514*T1^4*T2^6 - 
      2183*T1^5*T2^6 - 7806*T1^6*T2^6 + 10122*T1^7*T2^6 - 7806*T1^8*T2^6 - 
      2183*T1^9*T2^6 + 4514*T1^10*T2^6 - 644*T1^11*T2^6 - 935*T1^12*T2^6 + 
      152*T1^13*T2^6 + 25*T1^14*T2^6 - 8*T2^7 - 136*T1*T2^7 + 307*T1^2*T2^7 + 
      2023*T1^3*T2^7 - 3895*T1^4*T2^7 - 2183*T1^5*T2^7 + 10122*T1^6*T2^7 - 
      4052*T1^7*T2^7 - 4052*T1^8*T2^7 + 10122*T1^9*T2^7 - 2183*T1^10*T2^7 - 
      3895*T1^11*T2^7 + 2023*T1^12*T2^7 + 307*T1^13*T2^7 - 136*T1^14*T2^7 - 
      8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 137*T1^2*T2^8 - 1560*T1^3*T2^8 - 
      84*T1^4*T2^8 + 6968*T1^5*T2^8 - 7806*T1^6*T2^8 - 4052*T1^7*T2^8 + 
      8100*T1^8*T2^8 - 4052*T1^9*T2^8 - 7806*T1^10*T2^8 + 6968*T1^11*T2^8 - 
      84*T1^12*T2^8 - 1560*T1^13*T2^8 + 137*T1^14*T2^8 + 56*T1^15*T2^8 + 
      T1^16*T2^8 - 8*T1*T2^9 - 136*T1^2*T2^9 + 307*T1^3*T2^9 + 
      2023*T1^4*T2^9 - 3895*T1^5*T2^9 - 2183*T1^6*T2^9 + 10122*T1^7*T2^9 - 
      4052*T1^8*T2^9 - 4052*T1^9*T2^9 + 10122*T1^10*T2^9 - 2183*T1^11*T2^9 - 
      3895*T1^12*T2^9 + 2023*T1^13*T2^9 + 307*T1^14*T2^9 - 136*T1^15*T2^9 - 
      8*T1^16*T2^9 + 25*T1^2*T2^10 + 152*T1^3*T2^10 - 935*T1^4*T2^10 - 
      644*T1^5*T2^10 + 4514*T1^6*T2^10 - 2183*T1^7*T2^10 - 7806*T1^8*T2^10 + 
      10122*T1^9*T2^10 - 7806*T1^10*T2^10 - 2183*T1^11*T2^10 + 
      4514*T1^12*T2^10 - 644*T1^13*T2^10 - 935*T1^14*T2^10 + 
      152*T1^15*T2^10 + 25*T1^16*T2^10 - 44*T1^3*T2^11 - 56*T1^4*T2^11 + 
      1091*T1^5*T2^11 - 644*T1^6*T2^11 - 3895*T1^7*T2^11 + 6968*T1^8*T2^11 - 
      2183*T1^9*T2^11 - 2183*T1^10*T2^11 + 6968*T1^11*T2^11 - 
      3895*T1^12*T2^11 - 644*T1^13*T2^11 + 1091*T1^14*T2^11 - 
      56*T1^15*T2^11 - 44*T1^16*T2^11 + 51*T1^4*T2^12 - 56*T1^5*T2^12 - 
      935*T1^6*T2^12 + 2023*T1^7*T2^12 - 84*T1^8*T2^12 - 3895*T1^9*T2^12 + 
      4514*T1^10*T2^12 - 3895*T1^11*T2^12 - 84*T1^12*T2^12 + 
      2023*T1^13*T2^12 - 935*T1^14*T2^12 - 56*T1^15*T2^12 + 51*T1^16*T2^12 - 
      44*T1^5*T2^13 + 152*T1^6*T2^13 + 307*T1^7*T2^13 - 1560*T1^8*T2^13 + 
      2023*T1^9*T2^13 - 644*T1^10*T2^13 - 644*T1^11*T2^13 + 
      2023*T1^12*T2^13 - 1560*T1^13*T2^13 + 307*T1^14*T2^13 + 
      152*T1^15*T2^13 - 44*T1^16*T2^13 + 25*T1^6*T2^14 - 136*T1^7*T2^14 + 
      137*T1^8*T2^14 + 307*T1^9*T2^14 - 935*T1^10*T2^14 + 1091*T1^11*T2^14 - 
      935*T1^12*T2^14 + 307*T1^13*T2^14 + 137*T1^14*T2^14 - 136*T1^15*T2^14 + 
      25*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 136*T1^9*T2^15 + 
      152*T1^10*T2^15 - 56*T1^11*T2^15 - 56*T1^12*T2^15 + 152*T1^13*T2^15 - 
      136*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
      8*T1^9*T2^16 + 25*T1^10*T2^16 - 44*T1^11*T2^16 + 51*T1^12*T2^16 - 
      44*T1^13*T2^16 + 25*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 72] -> 
  {-((2 - 16*T + 47*T^2 - 67*T^3 + 47*T^4 - 16*T^5 + 2*T^6)/T^3), 
   -((1 - 8*T1 + 24*T1^2 - 35*T1^3 + 24*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
      56*T1*T2 - 128*T1^2*T2 + 88*T1^3*T2 + 88*T1^4*T2 - 128*T1^5*T2 + 
      56*T1^6*T2 - 8*T1^7*T2 + 24*T2^2 - 128*T1*T2^2 + 72*T1^2*T2^2 + 
      571*T1^3*T2^2 - 1196*T1^4*T2^2 + 571*T1^5*T2^2 + 72*T1^6*T2^2 - 
      128*T1^7*T2^2 + 24*T1^8*T2^2 - 35*T2^3 + 88*T1*T2^3 + 571*T1^2*T2^3 - 
      2102*T1^3*T2^3 + 1735*T1^4*T2^3 + 1735*T1^5*T2^3 - 2102*T1^6*T2^3 + 
      571*T1^7*T2^3 + 88*T1^8*T2^3 - 35*T1^9*T2^3 + 24*T2^4 + 88*T1*T2^4 - 
      1196*T1^2*T2^4 + 1735*T1^3*T2^4 + 2755*T1^4*T2^4 - 8243*T1^5*T2^4 + 
      2755*T1^6*T2^4 + 1735*T1^7*T2^4 - 1196*T1^8*T2^4 + 88*T1^9*T2^4 + 
      24*T1^10*T2^4 - 8*T2^5 - 128*T1*T2^5 + 571*T1^2*T2^5 + 1735*T1^3*T2^5 - 
      8243*T1^4*T2^5 + 7384*T1^5*T2^5 + 7384*T1^6*T2^5 - 8243*T1^7*T2^5 + 
      1735*T1^8*T2^5 + 571*T1^9*T2^5 - 128*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
      56*T1*T2^6 + 72*T1^2*T2^6 - 2102*T1^3*T2^6 + 2755*T1^4*T2^6 + 
      7384*T1^5*T2^6 - 19536*T1^6*T2^6 + 7384*T1^7*T2^6 + 2755*T1^8*T2^6 - 
      2102*T1^9*T2^6 + 72*T1^10*T2^6 + 56*T1^11*T2^6 + T1^12*T2^6 - 
      8*T1*T2^7 - 128*T1^2*T2^7 + 571*T1^3*T2^7 + 1735*T1^4*T2^7 - 
      8243*T1^5*T2^7 + 7384*T1^6*T2^7 + 7384*T1^7*T2^7 - 8243*T1^8*T2^7 + 
      1735*T1^9*T2^7 + 571*T1^10*T2^7 - 128*T1^11*T2^7 - 8*T1^12*T2^7 + 
      24*T1^2*T2^8 + 88*T1^3*T2^8 - 1196*T1^4*T2^8 + 1735*T1^5*T2^8 + 
      2755*T1^6*T2^8 - 8243*T1^7*T2^8 + 2755*T1^8*T2^8 + 1735*T1^9*T2^8 - 
      1196*T1^10*T2^8 + 88*T1^11*T2^8 + 24*T1^12*T2^8 - 35*T1^3*T2^9 + 
      88*T1^4*T2^9 + 571*T1^5*T2^9 - 2102*T1^6*T2^9 + 1735*T1^7*T2^9 + 
      1735*T1^8*T2^9 - 2102*T1^9*T2^9 + 571*T1^10*T2^9 + 88*T1^11*T2^9 - 
      35*T1^12*T2^9 + 24*T1^4*T2^10 - 128*T1^5*T2^10 + 72*T1^6*T2^10 + 
      571*T1^7*T2^10 - 1196*T1^8*T2^10 + 571*T1^9*T2^10 + 72*T1^10*T2^10 - 
      128*T1^11*T2^10 + 24*T1^12*T2^10 - 8*T1^5*T2^11 + 56*T1^6*T2^11 - 
      128*T1^7*T2^11 + 88*T1^8*T2^11 + 88*T1^9*T2^11 - 128*T1^10*T2^11 + 
      56*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
      24*T1^8*T2^12 - 35*T1^9*T2^12 + 24*T1^10*T2^12 - 8*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 73] -> 
  {(2 - 17*T + 51*T^2 - 71*T^3 + 51*T^4 - 17*T^5 + 2*T^6)/T^3, 
   (9 - 75*T1 + 222*T1^2 - 307*T1^3 + 222*T1^4 - 75*T1^5 + 9*T1^6 - 75*T2 + 
     550*T1*T2 - 1226*T1^2*T2 + 710*T1^3*T2 + 710*T1^4*T2 - 1226*T1^5*T2 + 
     550*T1^6*T2 - 75*T1^7*T2 + 222*T2^2 - 1226*T1*T2^2 + 583*T1^2*T2^2 + 
     5611*T1^3*T2^2 - 9817*T1^4*T2^2 + 5611*T1^5*T2^2 + 583*T1^6*T2^2 - 
     1226*T1^7*T2^2 + 222*T1^8*T2^2 - 307*T2^3 + 710*T1*T2^3 + 
     5611*T1^2*T2^3 - 18790*T1^3*T2^3 + 11694*T1^4*T2^3 + 11694*T1^5*T2^3 - 
     18790*T1^6*T2^3 + 5611*T1^7*T2^3 + 710*T1^8*T2^3 - 307*T1^9*T2^3 + 
     222*T2^4 + 710*T1*T2^4 - 9817*T1^2*T2^4 + 11694*T1^3*T2^4 + 
     29065*T1^4*T2^4 - 58481*T1^5*T2^4 + 29065*T1^6*T2^4 + 11694*T1^7*T2^4 - 
     9817*T1^8*T2^4 + 710*T1^9*T2^4 + 222*T1^10*T2^4 - 75*T2^5 - 
     1226*T1*T2^5 + 5611*T1^2*T2^5 + 11694*T1^3*T2^5 - 58481*T1^4*T2^5 + 
     38114*T1^5*T2^5 + 38114*T1^6*T2^5 - 58481*T1^7*T2^5 + 11694*T1^8*T2^5 + 
     5611*T1^9*T2^5 - 1226*T1^10*T2^5 - 75*T1^11*T2^5 + 9*T2^6 + 
     550*T1*T2^6 + 583*T1^2*T2^6 - 18790*T1^3*T2^6 + 29065*T1^4*T2^6 + 
     38114*T1^5*T2^6 - 88788*T1^6*T2^6 + 38114*T1^7*T2^6 + 29065*T1^8*T2^6 - 
     18790*T1^9*T2^6 + 583*T1^10*T2^6 + 550*T1^11*T2^6 + 9*T1^12*T2^6 - 
     75*T1*T2^7 - 1226*T1^2*T2^7 + 5611*T1^3*T2^7 + 11694*T1^4*T2^7 - 
     58481*T1^5*T2^7 + 38114*T1^6*T2^7 + 38114*T1^7*T2^7 - 58481*T1^8*T2^7 + 
     11694*T1^9*T2^7 + 5611*T1^10*T2^7 - 1226*T1^11*T2^7 - 75*T1^12*T2^7 + 
     222*T1^2*T2^8 + 710*T1^3*T2^8 - 9817*T1^4*T2^8 + 11694*T1^5*T2^8 + 
     29065*T1^6*T2^8 - 58481*T1^7*T2^8 + 29065*T1^8*T2^8 + 11694*T1^9*T2^8 - 
     9817*T1^10*T2^8 + 710*T1^11*T2^8 + 222*T1^12*T2^8 - 307*T1^3*T2^9 + 
     710*T1^4*T2^9 + 5611*T1^5*T2^9 - 18790*T1^6*T2^9 + 11694*T1^7*T2^9 + 
     11694*T1^8*T2^9 - 18790*T1^9*T2^9 + 5611*T1^10*T2^9 + 710*T1^11*T2^9 - 
     307*T1^12*T2^9 + 222*T1^4*T2^10 - 1226*T1^5*T2^10 + 583*T1^6*T2^10 + 
     5611*T1^7*T2^10 - 9817*T1^8*T2^10 + 5611*T1^9*T2^10 + 583*T1^10*T2^10 - 
     1226*T1^11*T2^10 + 222*T1^12*T2^10 - 75*T1^5*T2^11 + 550*T1^6*T2^11 - 
     1226*T1^7*T2^11 + 710*T1^8*T2^11 + 710*T1^9*T2^11 - 1226*T1^10*T2^11 + 
     550*T1^11*T2^11 - 75*T1^12*T2^11 + 9*T1^6*T2^12 - 75*T1^7*T2^12 + 
     222*T1^8*T2^12 - 307*T1^9*T2^12 + 222*T1^10*T2^12 - 75*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, 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), (1 - 7*T1 + 26*T1^2 - 57*T1^3 + 73*T1^4 - 57*T1^5 + 26*T1^6 - 
     7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 133*T1^2*T2 + 217*T1^3*T2 - 
     112*T1^4*T2 - 112*T1^5*T2 + 217*T1^6*T2 - 133*T1^7*T2 + 42*T1^8*T2 - 
     7*T1^9*T2 + 26*T2^2 - 133*T1*T2^2 + 360*T1^2*T2^2 - 386*T1^3*T2^2 - 
     252*T1^4*T2^2 + 666*T1^5*T2^2 - 252*T1^6*T2^2 - 386*T1^7*T2^2 + 
     360*T1^8*T2^2 - 133*T1^9*T2^2 + 26*T1^10*T2^2 - 57*T2^3 + 217*T1*T2^3 - 
     386*T1^2*T2^3 - 320*T1^3*T2^3 + 2054*T1^4*T2^3 - 1257*T1^5*T2^3 - 
     1257*T1^6*T2^3 + 2054*T1^7*T2^3 - 320*T1^8*T2^3 - 386*T1^9*T2^3 + 
     217*T1^10*T2^3 - 57*T1^11*T2^3 + 73*T2^4 - 112*T1*T2^4 - 252*T1^2*T2^4 + 
     2054*T1^3*T2^4 - 2811*T1^4*T2^4 - 4028*T1^5*T2^4 + 8443*T1^6*T2^4 - 
     4028*T1^7*T2^4 - 2811*T1^8*T2^4 + 2054*T1^9*T2^4 - 252*T1^10*T2^4 - 
     112*T1^11*T2^4 + 73*T1^12*T2^4 - 57*T2^5 - 112*T1*T2^5 + 666*T1^2*T2^5 - 
     1257*T1^3*T2^5 - 4028*T1^4*T2^5 + 16864*T1^5*T2^5 - 9931*T1^6*T2^5 - 
     9931*T1^7*T2^5 + 16864*T1^8*T2^5 - 4028*T1^9*T2^5 - 1257*T1^10*T2^5 + 
     666*T1^11*T2^5 - 112*T1^12*T2^5 - 57*T1^13*T2^5 + 26*T2^6 + 
     217*T1*T2^6 - 252*T1^2*T2^6 - 1257*T1^3*T2^6 + 8443*T1^4*T2^6 - 
     9931*T1^5*T2^6 - 23812*T1^6*T2^6 + 44994*T1^7*T2^6 - 23812*T1^8*T2^6 - 
     9931*T1^9*T2^6 + 8443*T1^10*T2^6 - 1257*T1^11*T2^6 - 252*T1^12*T2^6 + 
     217*T1^13*T2^6 + 26*T1^14*T2^6 - 7*T2^7 - 133*T1*T2^7 - 386*T1^2*T2^7 + 
     2054*T1^3*T2^7 - 4028*T1^4*T2^7 - 9931*T1^5*T2^7 + 44994*T1^6*T2^7 - 
     26636*T1^7*T2^7 - 26636*T1^8*T2^7 + 44994*T1^9*T2^7 - 9931*T1^10*T2^7 - 
     4028*T1^11*T2^7 + 2054*T1^12*T2^7 - 386*T1^13*T2^7 - 133*T1^14*T2^7 - 
     7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 360*T1^2*T2^8 - 320*T1^3*T2^8 - 
     2811*T1^4*T2^8 + 16864*T1^5*T2^8 - 23812*T1^6*T2^8 - 26636*T1^7*T2^8 + 
     59208*T1^8*T2^8 - 26636*T1^9*T2^8 - 23812*T1^10*T2^8 + 
     16864*T1^11*T2^8 - 2811*T1^12*T2^8 - 320*T1^13*T2^8 + 360*T1^14*T2^8 + 
     42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 133*T1^2*T2^9 - 386*T1^3*T2^9 + 
     2054*T1^4*T2^9 - 4028*T1^5*T2^9 - 9931*T1^6*T2^9 + 44994*T1^7*T2^9 - 
     26636*T1^8*T2^9 - 26636*T1^9*T2^9 + 44994*T1^10*T2^9 - 9931*T1^11*T2^9 - 
     4028*T1^12*T2^9 + 2054*T1^13*T2^9 - 386*T1^14*T2^9 - 133*T1^15*T2^9 - 
     7*T1^16*T2^9 + 26*T1^2*T2^10 + 217*T1^3*T2^10 - 252*T1^4*T2^10 - 
     1257*T1^5*T2^10 + 8443*T1^6*T2^10 - 9931*T1^7*T2^10 - 23812*T1^8*T2^10 + 
     44994*T1^9*T2^10 - 23812*T1^10*T2^10 - 9931*T1^11*T2^10 + 
     8443*T1^12*T2^10 - 1257*T1^13*T2^10 - 252*T1^14*T2^10 + 
     217*T1^15*T2^10 + 26*T1^16*T2^10 - 57*T1^3*T2^11 - 112*T1^4*T2^11 + 
     666*T1^5*T2^11 - 1257*T1^6*T2^11 - 4028*T1^7*T2^11 + 16864*T1^8*T2^11 - 
     9931*T1^9*T2^11 - 9931*T1^10*T2^11 + 16864*T1^11*T2^11 - 
     4028*T1^12*T2^11 - 1257*T1^13*T2^11 + 666*T1^14*T2^11 - 
     112*T1^15*T2^11 - 57*T1^16*T2^11 + 73*T1^4*T2^12 - 112*T1^5*T2^12 - 
     252*T1^6*T2^12 + 2054*T1^7*T2^12 - 2811*T1^8*T2^12 - 4028*T1^9*T2^12 + 
     8443*T1^10*T2^12 - 4028*T1^11*T2^12 - 2811*T1^12*T2^12 + 
     2054*T1^13*T2^12 - 252*T1^14*T2^12 - 112*T1^15*T2^12 + 73*T1^16*T2^12 - 
     57*T1^5*T2^13 + 217*T1^6*T2^13 - 386*T1^7*T2^13 - 320*T1^8*T2^13 + 
     2054*T1^9*T2^13 - 1257*T1^10*T2^13 - 1257*T1^11*T2^13 + 
     2054*T1^12*T2^13 - 320*T1^13*T2^13 - 386*T1^14*T2^13 + 217*T1^15*T2^13 - 
     57*T1^16*T2^13 + 26*T1^6*T2^14 - 133*T1^7*T2^14 + 360*T1^8*T2^14 - 
     386*T1^9*T2^14 - 252*T1^10*T2^14 + 666*T1^11*T2^14 - 252*T1^12*T2^14 - 
     386*T1^13*T2^14 + 360*T1^14*T2^14 - 133*T1^15*T2^14 + 26*T1^16*T2^14 - 
     7*T1^7*T2^15 + 42*T1^8*T2^15 - 133*T1^9*T2^15 + 217*T1^10*T2^15 - 
     112*T1^11*T2^15 - 112*T1^12*T2^15 + 217*T1^13*T2^15 - 133*T1^14*T2^15 + 
     42*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 
     26*T1^10*T2^16 - 57*T1^11*T2^16 + 73*T1^12*T2^16 - 57*T1^13*T2^16 + 
     26*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 75] -> 
  {-((5 - 24*T + 46*T^2 - 55*T^3 + 46*T^4 - 24*T^5 + 5*T^6)/T^3), 
   -((270 - 1285*T1 + 2425*T1^2 - 2882*T1^3 + 2425*T1^4 - 1285*T1^5 + 
      270*T1^6 - 1285*T2 + 4848*T1*T2 - 5481*T1^2*T2 + 2208*T1^3*T2 + 
      2208*T1^4*T2 - 5481*T1^5*T2 + 4848*T1^6*T2 - 1285*T1^7*T2 + 2425*T2^2 - 
      5481*T1*T2^2 - 4854*T1^2*T2^2 + 18053*T1^3*T2^2 - 22690*T1^4*T2^2 + 
      18053*T1^5*T2^2 - 4854*T1^6*T2^2 - 5481*T1^7*T2^2 + 2425*T1^8*T2^2 - 
      2882*T2^3 + 2208*T1*T2^3 + 18053*T1^2*T2^3 - 23306*T1^3*T2^3 + 
      8970*T1^4*T2^3 + 8970*T1^5*T2^3 - 23306*T1^6*T2^3 + 18053*T1^7*T2^3 + 
      2208*T1^8*T2^3 - 2882*T1^9*T2^3 + 2425*T2^4 + 2208*T1*T2^4 - 
      22690*T1^2*T2^4 + 8970*T1^3*T2^4 + 13595*T1^4*T2^4 - 19933*T1^5*T2^4 + 
      13595*T1^6*T2^4 + 8970*T1^7*T2^4 - 22690*T1^8*T2^4 + 2208*T1^9*T2^4 + 
      2425*T1^10*T2^4 - 1285*T2^5 - 5481*T1*T2^5 + 18053*T1^2*T2^5 + 
      8970*T1^3*T2^5 - 19933*T1^4*T2^5 + 7208*T1^5*T2^5 + 7208*T1^6*T2^5 - 
      19933*T1^7*T2^5 + 8970*T1^8*T2^5 + 18053*T1^9*T2^5 - 5481*T1^10*T2^5 - 
      1285*T1^11*T2^5 + 270*T2^6 + 4848*T1*T2^6 - 4854*T1^2*T2^6 - 
      23306*T1^3*T2^6 + 13595*T1^4*T2^6 + 7208*T1^5*T2^6 - 12216*T1^6*T2^6 + 
      7208*T1^7*T2^6 + 13595*T1^8*T2^6 - 23306*T1^9*T2^6 - 4854*T1^10*T2^6 + 
      4848*T1^11*T2^6 + 270*T1^12*T2^6 - 1285*T1*T2^7 - 5481*T1^2*T2^7 + 
      18053*T1^3*T2^7 + 8970*T1^4*T2^7 - 19933*T1^5*T2^7 + 7208*T1^6*T2^7 + 
      7208*T1^7*T2^7 - 19933*T1^8*T2^7 + 8970*T1^9*T2^7 + 18053*T1^10*T2^7 - 
      5481*T1^11*T2^7 - 1285*T1^12*T2^7 + 2425*T1^2*T2^8 + 2208*T1^3*T2^8 - 
      22690*T1^4*T2^8 + 8970*T1^5*T2^8 + 13595*T1^6*T2^8 - 19933*T1^7*T2^8 + 
      13595*T1^8*T2^8 + 8970*T1^9*T2^8 - 22690*T1^10*T2^8 + 2208*T1^11*T2^8 + 
      2425*T1^12*T2^8 - 2882*T1^3*T2^9 + 2208*T1^4*T2^9 + 18053*T1^5*T2^9 - 
      23306*T1^6*T2^9 + 8970*T1^7*T2^9 + 8970*T1^8*T2^9 - 23306*T1^9*T2^9 + 
      18053*T1^10*T2^9 + 2208*T1^11*T2^9 - 2882*T1^12*T2^9 + 
      2425*T1^4*T2^10 - 5481*T1^5*T2^10 - 4854*T1^6*T2^10 + 
      18053*T1^7*T2^10 - 22690*T1^8*T2^10 + 18053*T1^9*T2^10 - 
      4854*T1^10*T2^10 - 5481*T1^11*T2^10 + 2425*T1^12*T2^10 - 
      1285*T1^5*T2^11 + 4848*T1^6*T2^11 - 5481*T1^7*T2^11 + 2208*T1^8*T2^11 + 
      2208*T1^9*T2^11 - 5481*T1^10*T2^11 + 4848*T1^11*T2^11 - 
      1285*T1^12*T2^11 + 270*T1^6*T2^12 - 1285*T1^7*T2^12 + 2425*T1^8*T2^12 - 
      2882*T1^9*T2^12 + 2425*T1^10*T2^12 - 1285*T1^11*T2^12 + 
      270*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 76] -> 
  {-((8 - 36*T + 55*T^2 - 36*T^3 + 8*T^4)/T^2), 
   -((696 - 3132*T1 + 4758*T1^2 - 3132*T1^3 + 696*T1^4 - 3132*T2 + 
      10976*T1*T2 - 7341*T1^2*T2 - 7341*T1^3*T2 + 10976*T1^4*T2 - 
      3132*T1^5*T2 + 4758*T2^2 - 7341*T1*T2^2 - 25958*T1^2*T2^2 + 
      53376*T1^3*T2^2 - 25958*T1^4*T2^2 - 7341*T1^5*T2^2 + 4758*T1^6*T2^2 - 
      3132*T2^3 - 7341*T1*T2^3 + 53376*T1^2*T2^3 - 39116*T1^3*T2^3 - 
      39116*T1^4*T2^3 + 53376*T1^5*T2^3 - 7341*T1^6*T2^3 - 3132*T1^7*T2^3 + 
      696*T2^4 + 10976*T1*T2^4 - 25958*T1^2*T2^4 - 39116*T1^3*T2^4 + 
      97284*T1^4*T2^4 - 39116*T1^5*T2^4 - 25958*T1^6*T2^4 + 10976*T1^7*T2^4 + 
      696*T1^8*T2^4 - 3132*T1*T2^5 - 7341*T1^2*T2^5 + 53376*T1^3*T2^5 - 
      39116*T1^4*T2^5 - 39116*T1^5*T2^5 + 53376*T1^6*T2^5 - 7341*T1^7*T2^5 - 
      3132*T1^8*T2^5 + 4758*T1^2*T2^6 - 7341*T1^3*T2^6 - 25958*T1^4*T2^6 + 
      53376*T1^5*T2^6 - 25958*T1^6*T2^6 - 7341*T1^7*T2^6 + 4758*T1^8*T2^6 - 
      3132*T1^3*T2^7 + 10976*T1^4*T2^7 - 7341*T1^5*T2^7 - 7341*T1^6*T2^7 + 
      10976*T1^7*T2^7 - 3132*T1^8*T2^7 + 696*T1^4*T2^8 - 3132*T1^5*T2^8 + 
      4758*T1^6*T2^8 - 3132*T1^7*T2^8 + 696*T1^8*T2^8)/(T1^4*T2^4))}, 
 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, 
   (1 - 8*T1 + 20*T1^2 - 27*T1^3 + 20*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
     44*T1*T2 - 75*T1^2*T2 + 41*T1^3*T2 + 41*T1^4*T2 - 75*T1^5*T2 + 
     44*T1^6*T2 - 8*T1^7*T2 + 20*T2^2 - 75*T1*T2^2 + 34*T1^2*T2^2 + 
     162*T1^3*T2^2 - 282*T1^4*T2^2 + 162*T1^5*T2^2 + 34*T1^6*T2^2 - 
     75*T1^7*T2^2 + 20*T1^8*T2^2 - 27*T2^3 + 41*T1*T2^3 + 162*T1^2*T2^3 - 
     410*T1^3*T2^3 + 214*T1^4*T2^3 + 214*T1^5*T2^3 - 410*T1^6*T2^3 + 
     162*T1^7*T2^3 + 41*T1^8*T2^3 - 27*T1^9*T2^3 + 20*T2^4 + 41*T1*T2^4 - 
     282*T1^2*T2^4 + 214*T1^3*T2^4 + 441*T1^4*T2^4 - 727*T1^5*T2^4 + 
     441*T1^6*T2^4 + 214*T1^7*T2^4 - 282*T1^8*T2^4 + 41*T1^9*T2^4 + 
     20*T1^10*T2^4 - 8*T2^5 - 75*T1*T2^5 + 162*T1^2*T2^5 + 214*T1^3*T2^5 - 
     727*T1^4*T2^5 + 302*T1^5*T2^5 + 302*T1^6*T2^5 - 727*T1^7*T2^5 + 
     214*T1^8*T2^5 + 162*T1^9*T2^5 - 75*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
     44*T1*T2^6 + 34*T1^2*T2^6 - 410*T1^3*T2^6 + 441*T1^4*T2^6 + 
     302*T1^5*T2^6 - 504*T1^6*T2^6 + 302*T1^7*T2^6 + 441*T1^8*T2^6 - 
     410*T1^9*T2^6 + 34*T1^10*T2^6 + 44*T1^11*T2^6 + T1^12*T2^6 - 8*T1*T2^7 - 
     75*T1^2*T2^7 + 162*T1^3*T2^7 + 214*T1^4*T2^7 - 727*T1^5*T2^7 + 
     302*T1^6*T2^7 + 302*T1^7*T2^7 - 727*T1^8*T2^7 + 214*T1^9*T2^7 + 
     162*T1^10*T2^7 - 75*T1^11*T2^7 - 8*T1^12*T2^7 + 20*T1^2*T2^8 + 
     41*T1^3*T2^8 - 282*T1^4*T2^8 + 214*T1^5*T2^8 + 441*T1^6*T2^8 - 
     727*T1^7*T2^8 + 441*T1^8*T2^8 + 214*T1^9*T2^8 - 282*T1^10*T2^8 + 
     41*T1^11*T2^8 + 20*T1^12*T2^8 - 27*T1^3*T2^9 + 41*T1^4*T2^9 + 
     162*T1^5*T2^9 - 410*T1^6*T2^9 + 214*T1^7*T2^9 + 214*T1^8*T2^9 - 
     410*T1^9*T2^9 + 162*T1^10*T2^9 + 41*T1^11*T2^9 - 27*T1^12*T2^9 + 
     20*T1^4*T2^10 - 75*T1^5*T2^10 + 34*T1^6*T2^10 + 162*T1^7*T2^10 - 
     282*T1^8*T2^10 + 162*T1^9*T2^10 + 34*T1^10*T2^10 - 75*T1^11*T2^10 + 
     20*T1^12*T2^10 - 8*T1^5*T2^11 + 44*T1^6*T2^11 - 75*T1^7*T2^11 + 
     41*T1^8*T2^11 + 41*T1^9*T2^11 - 75*T1^10*T2^11 + 44*T1^11*T2^11 - 
     8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 20*T1^8*T2^12 - 
     27*T1^9*T2^12 + 20*T1^10*T2^12 - 8*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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, -((17 - 67*T1 + 158*T1^2 - 239*T1^3 + 271*T1^4 - 239*T1^5 + 
      158*T1^6 - 67*T1^7 + 17*T1^8 - 67*T2 + 198*T1*T2 - 361*T1^2*T2 + 
      323*T1^3*T2 - 128*T1^4*T2 - 128*T1^5*T2 + 323*T1^6*T2 - 361*T1^7*T2 + 
      198*T1^8*T2 - 67*T1^9*T2 + 158*T2^2 - 361*T1*T2^2 + 578*T1^2*T2^2 - 
      343*T1^3*T2^2 + 153*T1^4*T2^2 - 74*T1^5*T2^2 + 153*T1^6*T2^2 - 
      343*T1^7*T2^2 + 578*T1^8*T2^2 - 361*T1^9*T2^2 + 158*T1^10*T2^2 - 
      239*T2^3 + 323*T1*T2^3 - 343*T1^2*T2^3 - 358*T1^3*T2^3 + 
      351*T1^4*T2^3 - 156*T1^5*T2^3 - 156*T1^6*T2^3 + 351*T1^7*T2^3 - 
      358*T1^8*T2^3 - 343*T1^9*T2^3 + 323*T1^10*T2^3 - 239*T1^11*T2^3 + 
      271*T2^4 - 128*T1*T2^4 + 153*T1^2*T2^4 + 351*T1^3*T2^4 + 
      927*T1^4*T2^4 - 1712*T1^5*T2^4 + 2079*T1^6*T2^4 - 1712*T1^7*T2^4 + 
      927*T1^8*T2^4 + 351*T1^9*T2^4 + 153*T1^10*T2^4 - 128*T1^11*T2^4 + 
      271*T1^12*T2^4 - 239*T2^5 - 128*T1*T2^5 - 74*T1^2*T2^5 - 
      156*T1^3*T2^5 - 1712*T1^4*T2^5 + 1406*T1^5*T2^5 - 630*T1^6*T2^5 - 
      630*T1^7*T2^5 + 1406*T1^8*T2^5 - 1712*T1^9*T2^5 - 156*T1^10*T2^5 - 
      74*T1^11*T2^5 - 128*T1^12*T2^5 - 239*T1^13*T2^5 + 158*T2^6 + 
      323*T1*T2^6 + 153*T1^2*T2^6 - 156*T1^3*T2^6 + 2079*T1^4*T2^6 - 
      630*T1^5*T2^6 - 49*T1^6*T2^6 + 577*T1^7*T2^6 - 49*T1^8*T2^6 - 
      630*T1^9*T2^6 + 2079*T1^10*T2^6 - 156*T1^11*T2^6 + 153*T1^12*T2^6 + 
      323*T1^13*T2^6 + 158*T1^14*T2^6 - 67*T2^7 - 361*T1*T2^7 - 
      343*T1^2*T2^7 + 351*T1^3*T2^7 - 1712*T1^4*T2^7 - 630*T1^5*T2^7 + 
      577*T1^6*T2^7 - 444*T1^7*T2^7 - 444*T1^8*T2^7 + 577*T1^9*T2^7 - 
      630*T1^10*T2^7 - 1712*T1^11*T2^7 + 351*T1^12*T2^7 - 343*T1^13*T2^7 - 
      361*T1^14*T2^7 - 67*T1^15*T2^7 + 17*T2^8 + 198*T1*T2^8 + 
      578*T1^2*T2^8 - 358*T1^3*T2^8 + 927*T1^4*T2^8 + 1406*T1^5*T2^8 - 
      49*T1^6*T2^8 - 444*T1^7*T2^8 + 1044*T1^8*T2^8 - 444*T1^9*T2^8 - 
      49*T1^10*T2^8 + 1406*T1^11*T2^8 + 927*T1^12*T2^8 - 358*T1^13*T2^8 + 
      578*T1^14*T2^8 + 198*T1^15*T2^8 + 17*T1^16*T2^8 - 67*T1*T2^9 - 
      361*T1^2*T2^9 - 343*T1^3*T2^9 + 351*T1^4*T2^9 - 1712*T1^5*T2^9 - 
      630*T1^6*T2^9 + 577*T1^7*T2^9 - 444*T1^8*T2^9 - 444*T1^9*T2^9 + 
      577*T1^10*T2^9 - 630*T1^11*T2^9 - 1712*T1^12*T2^9 + 351*T1^13*T2^9 - 
      343*T1^14*T2^9 - 361*T1^15*T2^9 - 67*T1^16*T2^9 + 158*T1^2*T2^10 + 
      323*T1^3*T2^10 + 153*T1^4*T2^10 - 156*T1^5*T2^10 + 2079*T1^6*T2^10 - 
      630*T1^7*T2^10 - 49*T1^8*T2^10 + 577*T1^9*T2^10 - 49*T1^10*T2^10 - 
      630*T1^11*T2^10 + 2079*T1^12*T2^10 - 156*T1^13*T2^10 + 
      153*T1^14*T2^10 + 323*T1^15*T2^10 + 158*T1^16*T2^10 - 239*T1^3*T2^11 - 
      128*T1^4*T2^11 - 74*T1^5*T2^11 - 156*T1^6*T2^11 - 1712*T1^7*T2^11 + 
      1406*T1^8*T2^11 - 630*T1^9*T2^11 - 630*T1^10*T2^11 + 1406*T1^11*T2^11 - 
      1712*T1^12*T2^11 - 156*T1^13*T2^11 - 74*T1^14*T2^11 - 128*T1^15*T2^11 - 
      239*T1^16*T2^11 + 271*T1^4*T2^12 - 128*T1^5*T2^12 + 153*T1^6*T2^12 + 
      351*T1^7*T2^12 + 927*T1^8*T2^12 - 1712*T1^9*T2^12 + 2079*T1^10*T2^12 - 
      1712*T1^11*T2^12 + 927*T1^12*T2^12 + 351*T1^13*T2^12 + 
      153*T1^14*T2^12 - 128*T1^15*T2^12 + 271*T1^16*T2^12 - 239*T1^5*T2^13 + 
      323*T1^6*T2^13 - 343*T1^7*T2^13 - 358*T1^8*T2^13 + 351*T1^9*T2^13 - 
      156*T1^10*T2^13 - 156*T1^11*T2^13 + 351*T1^12*T2^13 - 358*T1^13*T2^13 - 
      343*T1^14*T2^13 + 323*T1^15*T2^13 - 239*T1^16*T2^13 + 158*T1^6*T2^14 - 
      361*T1^7*T2^14 + 578*T1^8*T2^14 - 343*T1^9*T2^14 + 153*T1^10*T2^14 - 
      74*T1^11*T2^14 + 153*T1^12*T2^14 - 343*T1^13*T2^14 + 578*T1^14*T2^14 - 
      361*T1^15*T2^14 + 158*T1^16*T2^14 - 67*T1^7*T2^15 + 198*T1^8*T2^15 - 
      361*T1^9*T2^15 + 323*T1^10*T2^15 - 128*T1^11*T2^15 - 128*T1^12*T2^15 + 
      323*T1^13*T2^15 - 361*T1^14*T2^15 + 198*T1^15*T2^15 - 67*T1^16*T2^15 + 
      17*T1^8*T2^16 - 67*T1^9*T2^16 + 158*T1^10*T2^16 - 239*T1^11*T2^16 + 
      271*T1^12*T2^16 - 239*T1^13*T2^16 + 158*T1^14*T2^16 - 67*T1^15*T2^16 + 
      17*T1^16*T2^16)/(T1^8*T2^8))}, 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, 
   -((1 - 2*T1 - T1^3 - 2*T1^5 + T1^6 - 2*T2 - 12*T1*T2 + 41*T1^2*T2 - 
      9*T1^3*T2 - 9*T1^4*T2 + 41*T1^5*T2 - 12*T1^6*T2 - 2*T1^7*T2 + 
      41*T1*T2^2 - 5*T1^2*T2^2 - 295*T1^3*T2^2 + 315*T1^4*T2^2 - 
      295*T1^5*T2^2 - 5*T1^6*T2^2 + 41*T1^7*T2^2 - T2^3 - 9*T1*T2^3 - 
      295*T1^2*T2^3 + 782*T1^3*T2^3 - 128*T1^4*T2^3 - 128*T1^5*T2^3 + 
      782*T1^6*T2^3 - 295*T1^7*T2^3 - 9*T1^8*T2^3 - T1^9*T2^3 - 9*T1*T2^4 + 
      315*T1^2*T2^4 - 128*T1^3*T2^4 - 1392*T1^4*T2^4 + 818*T1^5*T2^4 - 
      1392*T1^6*T2^4 - 128*T1^7*T2^4 + 315*T1^8*T2^4 - 9*T1^9*T2^4 - 2*T2^5 + 
      41*T1*T2^5 - 295*T1^2*T2^5 - 128*T1^3*T2^5 + 818*T1^4*T2^5 + 
      874*T1^5*T2^5 + 874*T1^6*T2^5 + 818*T1^7*T2^5 - 128*T1^8*T2^5 - 
      295*T1^9*T2^5 + 41*T1^10*T2^5 - 2*T1^11*T2^5 + T2^6 - 12*T1*T2^6 - 
      5*T1^2*T2^6 + 782*T1^3*T2^6 - 1392*T1^4*T2^6 + 874*T1^5*T2^6 - 
      3564*T1^6*T2^6 + 874*T1^7*T2^6 - 1392*T1^8*T2^6 + 782*T1^9*T2^6 - 
      5*T1^10*T2^6 - 12*T1^11*T2^6 + T1^12*T2^6 - 2*T1*T2^7 + 41*T1^2*T2^7 - 
      295*T1^3*T2^7 - 128*T1^4*T2^7 + 818*T1^5*T2^7 + 874*T1^6*T2^7 + 
      874*T1^7*T2^7 + 818*T1^8*T2^7 - 128*T1^9*T2^7 - 295*T1^10*T2^7 + 
      41*T1^11*T2^7 - 2*T1^12*T2^7 - 9*T1^3*T2^8 + 315*T1^4*T2^8 - 
      128*T1^5*T2^8 - 1392*T1^6*T2^8 + 818*T1^7*T2^8 - 1392*T1^8*T2^8 - 
      128*T1^9*T2^8 + 315*T1^10*T2^8 - 9*T1^11*T2^8 - T1^3*T2^9 - 
      9*T1^4*T2^9 - 295*T1^5*T2^9 + 782*T1^6*T2^9 - 128*T1^7*T2^9 - 
      128*T1^8*T2^9 + 782*T1^9*T2^9 - 295*T1^10*T2^9 - 9*T1^11*T2^9 - 
      T1^12*T2^9 + 41*T1^5*T2^10 - 5*T1^6*T2^10 - 295*T1^7*T2^10 + 
      315*T1^8*T2^10 - 295*T1^9*T2^10 - 5*T1^10*T2^10 + 41*T1^11*T2^10 - 
      2*T1^5*T2^11 - 12*T1^6*T2^11 + 41*T1^7*T2^11 - 9*T1^8*T2^11 - 
      9*T1^9*T2^11 + 41*T1^10*T2^11 - 12*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)/
     (T1^6*T2^6))}, 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, 
   -((T1 - 9*T1^2 + 14*T1^3 - 9*T1^4 + T1^5 + T2 - 12*T1*T2 + 55*T1^2*T2 - 
      33*T1^3*T2 - 33*T1^4*T2 + 55*T1^5*T2 - 12*T1^6*T2 + T1^7*T2 - 9*T2^2 + 
      55*T1*T2^2 - 127*T1^2*T2^2 - 123*T1^3*T2^2 + 287*T1^4*T2^2 - 
      123*T1^5*T2^2 - 127*T1^6*T2^2 + 55*T1^7*T2^2 - 9*T1^8*T2^2 + 14*T2^3 - 
      33*T1*T2^3 - 123*T1^2*T2^3 + 860*T1^3*T2^3 - 507*T1^4*T2^3 - 
      507*T1^5*T2^3 + 860*T1^6*T2^3 - 123*T1^7*T2^3 - 33*T1^8*T2^3 + 
      14*T1^9*T2^3 - 9*T2^4 - 33*T1*T2^4 + 287*T1^2*T2^4 - 507*T1^3*T2^4 - 
      1832*T1^4*T2^4 + 3194*T1^5*T2^4 - 1832*T1^6*T2^4 - 507*T1^7*T2^4 + 
      287*T1^8*T2^4 - 33*T1^9*T2^4 - 9*T1^10*T2^4 + T2^5 + 55*T1*T2^5 - 
      123*T1^2*T2^5 - 507*T1^3*T2^5 + 3194*T1^4*T2^5 - 1804*T1^5*T2^5 - 
      1804*T1^6*T2^5 + 3194*T1^7*T2^5 - 507*T1^8*T2^5 - 123*T1^9*T2^5 + 
      55*T1^10*T2^5 + T1^11*T2^5 - 12*T1*T2^6 - 127*T1^2*T2^6 + 
      860*T1^3*T2^6 - 1832*T1^4*T2^6 - 1804*T1^5*T2^6 + 3912*T1^6*T2^6 - 
      1804*T1^7*T2^6 - 1832*T1^8*T2^6 + 860*T1^9*T2^6 - 127*T1^10*T2^6 - 
      12*T1^11*T2^6 + T1*T2^7 + 55*T1^2*T2^7 - 123*T1^3*T2^7 - 
      507*T1^4*T2^7 + 3194*T1^5*T2^7 - 1804*T1^6*T2^7 - 1804*T1^7*T2^7 + 
      3194*T1^8*T2^7 - 507*T1^9*T2^7 - 123*T1^10*T2^7 + 55*T1^11*T2^7 + 
      T1^12*T2^7 - 9*T1^2*T2^8 - 33*T1^3*T2^8 + 287*T1^4*T2^8 - 
      507*T1^5*T2^8 - 1832*T1^6*T2^8 + 3194*T1^7*T2^8 - 1832*T1^8*T2^8 - 
      507*T1^9*T2^8 + 287*T1^10*T2^8 - 33*T1^11*T2^8 - 9*T1^12*T2^8 + 
      14*T1^3*T2^9 - 33*T1^4*T2^9 - 123*T1^5*T2^9 + 860*T1^6*T2^9 - 
      507*T1^7*T2^9 - 507*T1^8*T2^9 + 860*T1^9*T2^9 - 123*T1^10*T2^9 - 
      33*T1^11*T2^9 + 14*T1^12*T2^9 - 9*T1^4*T2^10 + 55*T1^5*T2^10 - 
      127*T1^6*T2^10 - 123*T1^7*T2^10 + 287*T1^8*T2^10 - 123*T1^9*T2^10 - 
      127*T1^10*T2^10 + 55*T1^11*T2^10 - 9*T1^12*T2^10 + T1^5*T2^11 - 
      12*T1^6*T2^11 + 55*T1^7*T2^11 - 33*T1^8*T2^11 - 33*T1^9*T2^11 + 
      55*T1^10*T2^11 - 12*T1^11*T2^11 + T1^12*T2^11 + T1^7*T2^12 - 
      9*T1^8*T2^12 + 14*T1^9*T2^12 - 9*T1^10*T2^12 + T1^11*T2^12)/
     (T1^6*T2^6))}, Knot[12, Alternating, 81] -> 
  {(2 - 14*T + 38*T^2 - 51*T^3 + 38*T^4 - 14*T^5 + 2*T^6)/T^3, 
   (7 - 49*T1 + 132*T1^2 - 177*T1^3 + 132*T1^4 - 49*T1^5 + 7*T1^6 - 49*T2 + 
     294*T1*T2 - 581*T1^2*T2 + 315*T1^3*T2 + 315*T1^4*T2 - 581*T1^5*T2 + 
     294*T1^6*T2 - 49*T1^7*T2 + 132*T2^2 - 581*T1*T2^2 + 225*T1^2*T2^2 + 
     2183*T1^3*T2^2 - 3663*T1^4*T2^2 + 2183*T1^5*T2^2 + 225*T1^6*T2^2 - 
     581*T1^7*T2^2 + 132*T1^8*T2^2 - 177*T2^3 + 315*T1*T2^3 + 
     2183*T1^2*T2^3 - 6574*T1^3*T2^3 + 3810*T1^4*T2^3 + 3810*T1^5*T2^3 - 
     6574*T1^6*T2^3 + 2183*T1^7*T2^3 + 315*T1^8*T2^3 - 177*T1^9*T2^3 + 
     132*T2^4 + 315*T1*T2^4 - 3663*T1^2*T2^4 + 3810*T1^3*T2^4 + 
     9307*T1^4*T2^4 - 17817*T1^5*T2^4 + 9307*T1^6*T2^4 + 3810*T1^7*T2^4 - 
     3663*T1^8*T2^4 + 315*T1^9*T2^4 + 132*T1^10*T2^4 - 49*T2^5 - 
     581*T1*T2^5 + 2183*T1^2*T2^5 + 3810*T1^3*T2^5 - 17817*T1^4*T2^5 + 
     10904*T1^5*T2^5 + 10904*T1^6*T2^5 - 17817*T1^7*T2^5 + 3810*T1^8*T2^5 + 
     2183*T1^9*T2^5 - 581*T1^10*T2^5 - 49*T1^11*T2^5 + 7*T2^6 + 294*T1*T2^6 + 
     225*T1^2*T2^6 - 6574*T1^3*T2^6 + 9307*T1^4*T2^6 + 10904*T1^5*T2^6 - 
     24756*T1^6*T2^6 + 10904*T1^7*T2^6 + 9307*T1^8*T2^6 - 6574*T1^9*T2^6 + 
     225*T1^10*T2^6 + 294*T1^11*T2^6 + 7*T1^12*T2^6 - 49*T1*T2^7 - 
     581*T1^2*T2^7 + 2183*T1^3*T2^7 + 3810*T1^4*T2^7 - 17817*T1^5*T2^7 + 
     10904*T1^6*T2^7 + 10904*T1^7*T2^7 - 17817*T1^8*T2^7 + 3810*T1^9*T2^7 + 
     2183*T1^10*T2^7 - 581*T1^11*T2^7 - 49*T1^12*T2^7 + 132*T1^2*T2^8 + 
     315*T1^3*T2^8 - 3663*T1^4*T2^8 + 3810*T1^5*T2^8 + 9307*T1^6*T2^8 - 
     17817*T1^7*T2^8 + 9307*T1^8*T2^8 + 3810*T1^9*T2^8 - 3663*T1^10*T2^8 + 
     315*T1^11*T2^8 + 132*T1^12*T2^8 - 177*T1^3*T2^9 + 315*T1^4*T2^9 + 
     2183*T1^5*T2^9 - 6574*T1^6*T2^9 + 3810*T1^7*T2^9 + 3810*T1^8*T2^9 - 
     6574*T1^9*T2^9 + 2183*T1^10*T2^9 + 315*T1^11*T2^9 - 177*T1^12*T2^9 + 
     132*T1^4*T2^10 - 581*T1^5*T2^10 + 225*T1^6*T2^10 + 2183*T1^7*T2^10 - 
     3663*T1^8*T2^10 + 2183*T1^9*T2^10 + 225*T1^10*T2^10 - 581*T1^11*T2^10 + 
     132*T1^12*T2^10 - 49*T1^5*T2^11 + 294*T1^6*T2^11 - 581*T1^7*T2^11 + 
     315*T1^8*T2^11 + 315*T1^9*T2^11 - 581*T1^10*T2^11 + 294*T1^11*T2^11 - 
     49*T1^12*T2^11 + 7*T1^6*T2^12 - 49*T1^7*T2^12 + 132*T1^8*T2^12 - 
     177*T1^9*T2^12 + 132*T1^10*T2^12 - 49*T1^11*T2^12 + 7*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 82] -> 
  {(6 - 22*T + 42*T^2 - 51*T^3 + 42*T^4 - 22*T^5 + 6*T^6)/T^3, 
   (699 - 2504*T1 + 4724*T1^2 - 5709*T1^3 + 4724*T1^4 - 2504*T1^5 + 
     699*T1^6 - 2504*T2 + 6520*T1*T2 - 8056*T1^2*T2 + 3588*T1^3*T2 + 
     3588*T1^4*T2 - 8056*T1^5*T2 + 6520*T1^6*T2 - 2504*T1^7*T2 + 4724*T2^2 - 
     8056*T1*T2^2 + 4191*T1^2*T2^2 + 6381*T1^3*T2^2 - 11255*T1^4*T2^2 + 
     6381*T1^5*T2^2 + 4191*T1^6*T2^2 - 8056*T1^7*T2^2 + 4724*T1^8*T2^2 - 
     5709*T2^3 + 3588*T1*T2^3 + 6381*T1^2*T2^3 - 15226*T1^3*T2^3 + 
     7119*T1^4*T2^3 + 7119*T1^5*T2^3 - 15226*T1^6*T2^3 + 6381*T1^7*T2^3 + 
     3588*T1^8*T2^3 - 5709*T1^9*T2^3 + 4724*T2^4 + 3588*T1*T2^4 - 
     11255*T1^2*T2^4 + 7119*T1^3*T2^4 + 13837*T1^4*T2^4 - 22389*T1^5*T2^4 + 
     13837*T1^6*T2^4 + 7119*T1^7*T2^4 - 11255*T1^8*T2^4 + 3588*T1^9*T2^4 + 
     4724*T1^10*T2^4 - 2504*T2^5 - 8056*T1*T2^5 + 6381*T1^2*T2^5 + 
     7119*T1^3*T2^5 - 22389*T1^4*T2^5 + 9996*T1^5*T2^5 + 9996*T1^6*T2^5 - 
     22389*T1^7*T2^5 + 7119*T1^8*T2^5 + 6381*T1^9*T2^5 - 8056*T1^10*T2^5 - 
     2504*T1^11*T2^5 + 699*T2^6 + 6520*T1*T2^6 + 4191*T1^2*T2^6 - 
     15226*T1^3*T2^6 + 13837*T1^4*T2^6 + 9996*T1^5*T2^6 - 19008*T1^6*T2^6 + 
     9996*T1^7*T2^6 + 13837*T1^8*T2^6 - 15226*T1^9*T2^6 + 4191*T1^10*T2^6 + 
     6520*T1^11*T2^6 + 699*T1^12*T2^6 - 2504*T1*T2^7 - 8056*T1^2*T2^7 + 
     6381*T1^3*T2^7 + 7119*T1^4*T2^7 - 22389*T1^5*T2^7 + 9996*T1^6*T2^7 + 
     9996*T1^7*T2^7 - 22389*T1^8*T2^7 + 7119*T1^9*T2^7 + 6381*T1^10*T2^7 - 
     8056*T1^11*T2^7 - 2504*T1^12*T2^7 + 4724*T1^2*T2^8 + 3588*T1^3*T2^8 - 
     11255*T1^4*T2^8 + 7119*T1^5*T2^8 + 13837*T1^6*T2^8 - 22389*T1^7*T2^8 + 
     13837*T1^8*T2^8 + 7119*T1^9*T2^8 - 11255*T1^10*T2^8 + 3588*T1^11*T2^8 + 
     4724*T1^12*T2^8 - 5709*T1^3*T2^9 + 3588*T1^4*T2^9 + 6381*T1^5*T2^9 - 
     15226*T1^6*T2^9 + 7119*T1^7*T2^9 + 7119*T1^8*T2^9 - 15226*T1^9*T2^9 + 
     6381*T1^10*T2^9 + 3588*T1^11*T2^9 - 5709*T1^12*T2^9 + 4724*T1^4*T2^10 - 
     8056*T1^5*T2^10 + 4191*T1^6*T2^10 + 6381*T1^7*T2^10 - 11255*T1^8*T2^10 + 
     6381*T1^9*T2^10 + 4191*T1^10*T2^10 - 8056*T1^11*T2^10 + 
     4724*T1^12*T2^10 - 2504*T1^5*T2^11 + 6520*T1^6*T2^11 - 8056*T1^7*T2^11 + 
     3588*T1^8*T2^11 + 3588*T1^9*T2^11 - 8056*T1^10*T2^11 + 
     6520*T1^11*T2^11 - 2504*T1^12*T2^11 + 699*T1^6*T2^12 - 2504*T1^7*T2^12 + 
     4724*T1^8*T2^12 - 5709*T1^9*T2^12 + 4724*T1^10*T2^12 - 
     2504*T1^11*T2^12 + 699*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 83] -> 
  {-((3 - 20*T + 48*T^2 - 63*T^3 + 48*T^4 - 20*T^5 + 3*T^6)/T^3), 
   -((57 - 376*T1 + 892*T1^2 - 1167*T1^3 + 892*T1^4 - 376*T1^5 + 57*T1^6 - 
      376*T2 + 2108*T1*T2 - 3419*T1^2*T2 + 1824*T1^3*T2 + 1824*T1^4*T2 - 
      3419*T1^5*T2 + 2108*T1^6*T2 - 376*T1^7*T2 + 892*T2^2 - 3419*T1*T2^2 - 
      1344*T1^2*T2^2 + 14397*T1^3*T2^2 - 22562*T1^4*T2^2 + 14397*T1^5*T2^2 - 
      1344*T1^6*T2^2 - 3419*T1^7*T2^2 + 892*T1^8*T2^2 - 1167*T2^3 + 
      1824*T1*T2^3 + 14397*T1^2*T2^3 - 30554*T1^3*T2^3 + 17910*T1^4*T2^3 + 
      17910*T1^5*T2^3 - 30554*T1^6*T2^3 + 14397*T1^7*T2^3 + 1824*T1^8*T2^3 - 
      1167*T1^9*T2^3 + 892*T2^4 + 1824*T1*T2^4 - 22562*T1^2*T2^4 + 
      17910*T1^3*T2^4 + 26540*T1^4*T2^4 - 59496*T1^5*T2^4 + 26540*T1^6*T2^4 + 
      17910*T1^7*T2^4 - 22562*T1^8*T2^4 + 1824*T1^9*T2^4 + 892*T1^10*T2^4 - 
      376*T2^5 - 3419*T1*T2^5 + 14397*T1^2*T2^5 + 17910*T1^3*T2^5 - 
      59496*T1^4*T2^5 + 38892*T1^5*T2^5 + 38892*T1^6*T2^5 - 59496*T1^7*T2^5 + 
      17910*T1^8*T2^5 + 14397*T1^9*T2^5 - 3419*T1^10*T2^5 - 376*T1^11*T2^5 + 
      57*T2^6 + 2108*T1*T2^6 - 1344*T1^2*T2^6 - 30554*T1^3*T2^6 + 
      26540*T1^4*T2^6 + 38892*T1^5*T2^6 - 89580*T1^6*T2^6 + 38892*T1^7*T2^6 + 
      26540*T1^8*T2^6 - 30554*T1^9*T2^6 - 1344*T1^10*T2^6 + 2108*T1^11*T2^6 + 
      57*T1^12*T2^6 - 376*T1*T2^7 - 3419*T1^2*T2^7 + 14397*T1^3*T2^7 + 
      17910*T1^4*T2^7 - 59496*T1^5*T2^7 + 38892*T1^6*T2^7 + 38892*T1^7*T2^7 - 
      59496*T1^8*T2^7 + 17910*T1^9*T2^7 + 14397*T1^10*T2^7 - 
      3419*T1^11*T2^7 - 376*T1^12*T2^7 + 892*T1^2*T2^8 + 1824*T1^3*T2^8 - 
      22562*T1^4*T2^8 + 17910*T1^5*T2^8 + 26540*T1^6*T2^8 - 59496*T1^7*T2^8 + 
      26540*T1^8*T2^8 + 17910*T1^9*T2^8 - 22562*T1^10*T2^8 + 
      1824*T1^11*T2^8 + 892*T1^12*T2^8 - 1167*T1^3*T2^9 + 1824*T1^4*T2^9 + 
      14397*T1^5*T2^9 - 30554*T1^6*T2^9 + 17910*T1^7*T2^9 + 17910*T1^8*T2^9 - 
      30554*T1^9*T2^9 + 14397*T1^10*T2^9 + 1824*T1^11*T2^9 - 
      1167*T1^12*T2^9 + 892*T1^4*T2^10 - 3419*T1^5*T2^10 - 1344*T1^6*T2^10 + 
      14397*T1^7*T2^10 - 22562*T1^8*T2^10 + 14397*T1^9*T2^10 - 
      1344*T1^10*T2^10 - 3419*T1^11*T2^10 + 892*T1^12*T2^10 - 
      376*T1^5*T2^11 + 2108*T1^6*T2^11 - 3419*T1^7*T2^11 + 1824*T1^8*T2^11 + 
      1824*T1^9*T2^11 - 3419*T1^10*T2^11 + 2108*T1^11*T2^11 - 
      376*T1^12*T2^11 + 57*T1^6*T2^12 - 376*T1^7*T2^12 + 892*T1^8*T2^12 - 
      1167*T1^9*T2^12 + 892*T1^10*T2^12 - 376*T1^11*T2^12 + 57*T1^12*T2^12)/
     (T1^6*T2^6))}, 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), (1 - 7*T1 + 22*T1^2 - 43*T1^3 + 53*T1^4 - 43*T1^5 + 22*T1^6 - 
     7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 105*T1^2*T2 + 147*T1^3*T2 - 
     70*T1^4*T2 - 70*T1^5*T2 + 147*T1^6*T2 - 105*T1^7*T2 + 42*T1^8*T2 - 
     7*T1^9*T2 + 22*T2^2 - 105*T1*T2^2 + 168*T1^2*T2^2 - 40*T1^3*T2^2 - 
     417*T1^4*T2^2 + 656*T1^5*T2^2 - 417*T1^6*T2^2 - 40*T1^7*T2^2 + 
     168*T1^8*T2^2 - 105*T1^9*T2^2 + 22*T1^10*T2^2 - 43*T2^3 + 147*T1*T2^3 - 
     40*T1^2*T2^3 - 464*T1^3*T2^3 + 1187*T1^4*T2^3 - 614*T1^5*T2^3 - 
     614*T1^6*T2^3 + 1187*T1^7*T2^3 - 464*T1^8*T2^3 - 40*T1^9*T2^3 + 
     147*T1^10*T2^3 - 43*T1^11*T2^3 + 53*T2^4 - 70*T1*T2^4 - 417*T1^2*T2^4 + 
     1187*T1^3*T2^4 - 1371*T1^4*T2^4 - 1009*T1^5*T2^4 + 2293*T1^6*T2^4 - 
     1009*T1^7*T2^4 - 1371*T1^8*T2^4 + 1187*T1^9*T2^4 - 417*T1^10*T2^4 - 
     70*T1^11*T2^4 + 53*T1^12*T2^4 - 43*T2^5 - 70*T1*T2^5 + 656*T1^2*T2^5 - 
     614*T1^3*T2^5 - 1009*T1^4*T2^5 + 4494*T1^5*T2^5 - 2409*T1^6*T2^5 - 
     2409*T1^7*T2^5 + 4494*T1^8*T2^5 - 1009*T1^9*T2^5 - 614*T1^10*T2^5 + 
     656*T1^11*T2^5 - 70*T1^12*T2^5 - 43*T1^13*T2^5 + 22*T2^6 + 147*T1*T2^6 - 
     417*T1^2*T2^6 - 614*T1^3*T2^6 + 2293*T1^4*T2^6 - 2409*T1^5*T2^6 - 
     5631*T1^6*T2^6 + 9913*T1^7*T2^6 - 5631*T1^8*T2^6 - 2409*T1^9*T2^6 + 
     2293*T1^10*T2^6 - 614*T1^11*T2^6 - 417*T1^12*T2^6 + 147*T1^13*T2^6 + 
     22*T1^14*T2^6 - 7*T2^7 - 105*T1*T2^7 - 40*T1^2*T2^7 + 1187*T1^3*T2^7 - 
     1009*T1^4*T2^7 - 2409*T1^5*T2^7 + 9913*T1^6*T2^7 - 5332*T1^7*T2^7 - 
     5332*T1^8*T2^7 + 9913*T1^9*T2^7 - 2409*T1^10*T2^7 - 1009*T1^11*T2^7 + 
     1187*T1^12*T2^7 - 40*T1^13*T2^7 - 105*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 
     42*T1*T2^8 + 168*T1^2*T2^8 - 464*T1^3*T2^8 - 1371*T1^4*T2^8 + 
     4494*T1^5*T2^8 - 5631*T1^6*T2^8 - 5332*T1^7*T2^8 + 11364*T1^8*T2^8 - 
     5332*T1^9*T2^8 - 5631*T1^10*T2^8 + 4494*T1^11*T2^8 - 1371*T1^12*T2^8 - 
     464*T1^13*T2^8 + 168*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 
     7*T1*T2^9 - 105*T1^2*T2^9 - 40*T1^3*T2^9 + 1187*T1^4*T2^9 - 
     1009*T1^5*T2^9 - 2409*T1^6*T2^9 + 9913*T1^7*T2^9 - 5332*T1^8*T2^9 - 
     5332*T1^9*T2^9 + 9913*T1^10*T2^9 - 2409*T1^11*T2^9 - 1009*T1^12*T2^9 + 
     1187*T1^13*T2^9 - 40*T1^14*T2^9 - 105*T1^15*T2^9 - 7*T1^16*T2^9 + 
     22*T1^2*T2^10 + 147*T1^3*T2^10 - 417*T1^4*T2^10 - 614*T1^5*T2^10 + 
     2293*T1^6*T2^10 - 2409*T1^7*T2^10 - 5631*T1^8*T2^10 + 9913*T1^9*T2^10 - 
     5631*T1^10*T2^10 - 2409*T1^11*T2^10 + 2293*T1^12*T2^10 - 
     614*T1^13*T2^10 - 417*T1^14*T2^10 + 147*T1^15*T2^10 + 22*T1^16*T2^10 - 
     43*T1^3*T2^11 - 70*T1^4*T2^11 + 656*T1^5*T2^11 - 614*T1^6*T2^11 - 
     1009*T1^7*T2^11 + 4494*T1^8*T2^11 - 2409*T1^9*T2^11 - 2409*T1^10*T2^11 + 
     4494*T1^11*T2^11 - 1009*T1^12*T2^11 - 614*T1^13*T2^11 + 
     656*T1^14*T2^11 - 70*T1^15*T2^11 - 43*T1^16*T2^11 + 53*T1^4*T2^12 - 
     70*T1^5*T2^12 - 417*T1^6*T2^12 + 1187*T1^7*T2^12 - 1371*T1^8*T2^12 - 
     1009*T1^9*T2^12 + 2293*T1^10*T2^12 - 1009*T1^11*T2^12 - 
     1371*T1^12*T2^12 + 1187*T1^13*T2^12 - 417*T1^14*T2^12 - 70*T1^15*T2^12 + 
     53*T1^16*T2^12 - 43*T1^5*T2^13 + 147*T1^6*T2^13 - 40*T1^7*T2^13 - 
     464*T1^8*T2^13 + 1187*T1^9*T2^13 - 614*T1^10*T2^13 - 614*T1^11*T2^13 + 
     1187*T1^12*T2^13 - 464*T1^13*T2^13 - 40*T1^14*T2^13 + 147*T1^15*T2^13 - 
     43*T1^16*T2^13 + 22*T1^6*T2^14 - 105*T1^7*T2^14 + 168*T1^8*T2^14 - 
     40*T1^9*T2^14 - 417*T1^10*T2^14 + 656*T1^11*T2^14 - 417*T1^12*T2^14 - 
     40*T1^13*T2^14 + 168*T1^14*T2^14 - 105*T1^15*T2^14 + 22*T1^16*T2^14 - 
     7*T1^7*T2^15 + 42*T1^8*T2^15 - 105*T1^9*T2^15 + 147*T1^10*T2^15 - 
     70*T1^11*T2^15 - 70*T1^12*T2^15 + 147*T1^13*T2^15 - 105*T1^14*T2^15 + 
     42*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 
     22*T1^10*T2^16 - 43*T1^11*T2^16 + 53*T1^12*T2^16 - 43*T1^13*T2^16 + 
     22*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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, -((17 - 67*T1 + 158*T1^2 - 231*T1^3 + 255*T1^4 - 231*T1^5 + 
      158*T1^6 - 67*T1^7 + 17*T1^8 - 67*T2 + 198*T1*T2 - 361*T1^2*T2 + 
      291*T1^3*T2 - 96*T1^4*T2 - 96*T1^5*T2 + 291*T1^6*T2 - 361*T1^7*T2 + 
      198*T1^8*T2 - 67*T1^9*T2 + 158*T2^2 - 361*T1*T2^2 + 578*T1^2*T2^2 - 
      272*T1^3*T2^2 + 147*T1^4*T2^2 - 204*T1^5*T2^2 + 147*T1^6*T2^2 - 
      272*T1^7*T2^2 + 578*T1^8*T2^2 - 361*T1^9*T2^2 + 158*T1^10*T2^2 - 
      231*T2^3 + 291*T1*T2^3 - 272*T1^2*T2^3 - 554*T1^3*T2^3 + 
      327*T1^4*T2^3 + 19*T1^5*T2^3 + 19*T1^6*T2^3 + 327*T1^7*T2^3 - 
      554*T1^8*T2^3 - 272*T1^9*T2^3 + 291*T1^10*T2^3 - 231*T1^11*T2^3 + 
      255*T2^4 - 96*T1*T2^4 + 147*T1^2*T2^4 + 327*T1^3*T2^4 + 
      1497*T1^4*T2^4 - 2323*T1^5*T2^4 + 2169*T1^6*T2^4 - 2323*T1^7*T2^4 + 
      1497*T1^8*T2^4 + 327*T1^9*T2^4 + 147*T1^10*T2^4 - 96*T1^11*T2^4 + 
      255*T1^12*T2^4 - 231*T2^5 - 96*T1*T2^5 - 204*T1^2*T2^5 + 19*T1^3*T2^5 - 
      2323*T1^4*T2^5 + 1530*T1^5*T2^5 - 198*T1^6*T2^5 - 198*T1^7*T2^5 + 
      1530*T1^8*T2^5 - 2323*T1^9*T2^5 + 19*T1^10*T2^5 - 204*T1^11*T2^5 - 
      96*T1^12*T2^5 - 231*T1^13*T2^5 + 158*T2^6 + 291*T1*T2^6 + 
      147*T1^2*T2^6 + 19*T1^3*T2^6 + 2169*T1^4*T2^6 - 198*T1^5*T2^6 - 
      397*T1^6*T2^6 - 169*T1^7*T2^6 - 397*T1^8*T2^6 - 198*T1^9*T2^6 + 
      2169*T1^10*T2^6 + 19*T1^11*T2^6 + 147*T1^12*T2^6 + 291*T1^13*T2^6 + 
      158*T1^14*T2^6 - 67*T2^7 - 361*T1*T2^7 - 272*T1^2*T2^7 + 
      327*T1^3*T2^7 - 2323*T1^4*T2^7 - 198*T1^5*T2^7 - 169*T1^6*T2^7 + 
      526*T1^7*T2^7 + 526*T1^8*T2^7 - 169*T1^9*T2^7 - 198*T1^10*T2^7 - 
      2323*T1^11*T2^7 + 327*T1^12*T2^7 - 272*T1^13*T2^7 - 361*T1^14*T2^7 - 
      67*T1^15*T2^7 + 17*T2^8 + 198*T1*T2^8 + 578*T1^2*T2^8 - 554*T1^3*T2^8 + 
      1497*T1^4*T2^8 + 1530*T1^5*T2^8 - 397*T1^6*T2^8 + 526*T1^7*T2^8 - 
      1404*T1^8*T2^8 + 526*T1^9*T2^8 - 397*T1^10*T2^8 + 1530*T1^11*T2^8 + 
      1497*T1^12*T2^8 - 554*T1^13*T2^8 + 578*T1^14*T2^8 + 198*T1^15*T2^8 + 
      17*T1^16*T2^8 - 67*T1*T2^9 - 361*T1^2*T2^9 - 272*T1^3*T2^9 + 
      327*T1^4*T2^9 - 2323*T1^5*T2^9 - 198*T1^6*T2^9 - 169*T1^7*T2^9 + 
      526*T1^8*T2^9 + 526*T1^9*T2^9 - 169*T1^10*T2^9 - 198*T1^11*T2^9 - 
      2323*T1^12*T2^9 + 327*T1^13*T2^9 - 272*T1^14*T2^9 - 361*T1^15*T2^9 - 
      67*T1^16*T2^9 + 158*T1^2*T2^10 + 291*T1^3*T2^10 + 147*T1^4*T2^10 + 
      19*T1^5*T2^10 + 2169*T1^6*T2^10 - 198*T1^7*T2^10 - 397*T1^8*T2^10 - 
      169*T1^9*T2^10 - 397*T1^10*T2^10 - 198*T1^11*T2^10 + 2169*T1^12*T2^10 + 
      19*T1^13*T2^10 + 147*T1^14*T2^10 + 291*T1^15*T2^10 + 158*T1^16*T2^10 - 
      231*T1^3*T2^11 - 96*T1^4*T2^11 - 204*T1^5*T2^11 + 19*T1^6*T2^11 - 
      2323*T1^7*T2^11 + 1530*T1^8*T2^11 - 198*T1^9*T2^11 - 198*T1^10*T2^11 + 
      1530*T1^11*T2^11 - 2323*T1^12*T2^11 + 19*T1^13*T2^11 - 
      204*T1^14*T2^11 - 96*T1^15*T2^11 - 231*T1^16*T2^11 + 255*T1^4*T2^12 - 
      96*T1^5*T2^12 + 147*T1^6*T2^12 + 327*T1^7*T2^12 + 1497*T1^8*T2^12 - 
      2323*T1^9*T2^12 + 2169*T1^10*T2^12 - 2323*T1^11*T2^12 + 
      1497*T1^12*T2^12 + 327*T1^13*T2^12 + 147*T1^14*T2^12 - 96*T1^15*T2^12 + 
      255*T1^16*T2^12 - 231*T1^5*T2^13 + 291*T1^6*T2^13 - 272*T1^7*T2^13 - 
      554*T1^8*T2^13 + 327*T1^9*T2^13 + 19*T1^10*T2^13 + 19*T1^11*T2^13 + 
      327*T1^12*T2^13 - 554*T1^13*T2^13 - 272*T1^14*T2^13 + 291*T1^15*T2^13 - 
      231*T1^16*T2^13 + 158*T1^6*T2^14 - 361*T1^7*T2^14 + 578*T1^8*T2^14 - 
      272*T1^9*T2^14 + 147*T1^10*T2^14 - 204*T1^11*T2^14 + 147*T1^12*T2^14 - 
      272*T1^13*T2^14 + 578*T1^14*T2^14 - 361*T1^15*T2^14 + 158*T1^16*T2^14 - 
      67*T1^7*T2^15 + 198*T1^8*T2^15 - 361*T1^9*T2^15 + 291*T1^10*T2^15 - 
      96*T1^11*T2^15 - 96*T1^12*T2^15 + 291*T1^13*T2^15 - 361*T1^14*T2^15 + 
      198*T1^15*T2^15 - 67*T1^16*T2^15 + 17*T1^8*T2^16 - 67*T1^9*T2^16 + 
      158*T1^10*T2^16 - 231*T1^11*T2^16 + 255*T1^12*T2^16 - 231*T1^13*T2^16 + 
      158*T1^14*T2^16 - 67*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 86] -> 
  {(4 - 17*T + 39*T^2 - 51*T^3 + 39*T^4 - 17*T^5 + 4*T^6)/T^3, 
   -((80 - 332*T1 + 756*T1^2 - 984*T1^3 + 756*T1^4 - 332*T1^5 + 80*T1^6 - 
      332*T2 + 1050*T1*T2 - 1768*T1^2*T2 + 952*T1^3*T2 + 952*T1^4*T2 - 
      1768*T1^5*T2 + 1050*T1^6*T2 - 332*T1^7*T2 + 756*T2^2 - 1768*T1*T2^2 + 
      2153*T1^2*T2^2 + 729*T1^3*T2^2 - 2903*T1^4*T2^2 + 729*T1^5*T2^2 + 
      2153*T1^6*T2^2 - 1768*T1^7*T2^2 + 756*T1^8*T2^2 - 984*T2^3 + 
      952*T1*T2^3 + 729*T1^2*T2^3 - 5848*T1^3*T2^3 + 3986*T1^4*T2^3 + 
      3986*T1^5*T2^3 - 5848*T1^6*T2^3 + 729*T1^7*T2^3 + 952*T1^8*T2^3 - 
      984*T1^9*T2^3 + 756*T2^4 + 952*T1*T2^4 - 2903*T1^2*T2^4 + 
      3986*T1^3*T2^4 + 8287*T1^4*T2^4 - 17511*T1^5*T2^4 + 8287*T1^6*T2^4 + 
      3986*T1^7*T2^4 - 2903*T1^8*T2^4 + 952*T1^9*T2^4 + 756*T1^10*T2^4 - 
      332*T2^5 - 1768*T1*T2^5 + 729*T1^2*T2^5 + 3986*T1^3*T2^5 - 
      17511*T1^4*T2^5 + 11428*T1^5*T2^5 + 11428*T1^6*T2^5 - 17511*T1^7*T2^5 + 
      3986*T1^8*T2^5 + 729*T1^9*T2^5 - 1768*T1^10*T2^5 - 332*T1^11*T2^5 + 
      80*T2^6 + 1050*T1*T2^6 + 2153*T1^2*T2^6 - 5848*T1^3*T2^6 + 
      8287*T1^4*T2^6 + 11428*T1^5*T2^6 - 26388*T1^6*T2^6 + 11428*T1^7*T2^6 + 
      8287*T1^8*T2^6 - 5848*T1^9*T2^6 + 2153*T1^10*T2^6 + 1050*T1^11*T2^6 + 
      80*T1^12*T2^6 - 332*T1*T2^7 - 1768*T1^2*T2^7 + 729*T1^3*T2^7 + 
      3986*T1^4*T2^7 - 17511*T1^5*T2^7 + 11428*T1^6*T2^7 + 11428*T1^7*T2^7 - 
      17511*T1^8*T2^7 + 3986*T1^9*T2^7 + 729*T1^10*T2^7 - 1768*T1^11*T2^7 - 
      332*T1^12*T2^7 + 756*T1^2*T2^8 + 952*T1^3*T2^8 - 2903*T1^4*T2^8 + 
      3986*T1^5*T2^8 + 8287*T1^6*T2^8 - 17511*T1^7*T2^8 + 8287*T1^8*T2^8 + 
      3986*T1^9*T2^8 - 2903*T1^10*T2^8 + 952*T1^11*T2^8 + 756*T1^12*T2^8 - 
      984*T1^3*T2^9 + 952*T1^4*T2^9 + 729*T1^5*T2^9 - 5848*T1^6*T2^9 + 
      3986*T1^7*T2^9 + 3986*T1^8*T2^9 - 5848*T1^9*T2^9 + 729*T1^10*T2^9 + 
      952*T1^11*T2^9 - 984*T1^12*T2^9 + 756*T1^4*T2^10 - 1768*T1^5*T2^10 + 
      2153*T1^6*T2^10 + 729*T1^7*T2^10 - 2903*T1^8*T2^10 + 729*T1^9*T2^10 + 
      2153*T1^10*T2^10 - 1768*T1^11*T2^10 + 756*T1^12*T2^10 - 
      332*T1^5*T2^11 + 1050*T1^6*T2^11 - 1768*T1^7*T2^11 + 952*T1^8*T2^11 + 
      952*T1^9*T2^11 - 1768*T1^10*T2^11 + 1050*T1^11*T2^11 - 
      332*T1^12*T2^11 + 80*T1^6*T2^12 - 332*T1^7*T2^12 + 756*T1^8*T2^12 - 
      984*T1^9*T2^12 + 756*T1^10*T2^12 - 332*T1^11*T2^12 + 80*T1^12*T2^12)/
     (T1^6*T2^6))}, 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), (1 - 7*T1 + 20*T1^2 - 37*T1^3 + 45*T1^4 - 37*T1^5 + 20*T1^6 - 
     7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 91*T1^2*T2 + 119*T1^3*T2 - 
     56*T1^4*T2 - 56*T1^5*T2 + 119*T1^6*T2 - 91*T1^7*T2 + 42*T1^8*T2 - 
     7*T1^9*T2 + 20*T2^2 - 91*T1*T2^2 + 82*T1^2*T2^2 + 86*T1^3*T2^2 - 
     489*T1^4*T2^2 + 698*T1^5*T2^2 - 489*T1^6*T2^2 + 86*T1^7*T2^2 + 
     82*T1^8*T2^2 - 91*T1^9*T2^2 + 20*T1^10*T2^2 - 37*T2^3 + 119*T1*T2^3 + 
     86*T1^2*T2^3 - 482*T1^3*T2^3 + 989*T1^4*T2^3 - 514*T1^5*T2^3 - 
     514*T1^6*T2^3 + 989*T1^7*T2^3 - 482*T1^8*T2^3 + 86*T1^9*T2^3 + 
     119*T1^10*T2^3 - 37*T1^11*T2^3 + 45*T2^4 - 56*T1*T2^4 - 489*T1^2*T2^4 + 
     989*T1^3*T2^4 - 1226*T1^4*T2^4 - 345*T1^5*T2^4 + 1330*T1^6*T2^4 - 
     345*T1^7*T2^4 - 1226*T1^8*T2^4 + 989*T1^9*T2^4 - 489*T1^10*T2^4 - 
     56*T1^11*T2^4 + 45*T1^12*T2^4 - 37*T2^5 - 56*T1*T2^5 + 698*T1^2*T2^5 - 
     514*T1^3*T2^5 - 345*T1^4*T2^5 + 2722*T1^5*T2^5 - 1670*T1^6*T2^5 - 
     1670*T1^7*T2^5 + 2722*T1^8*T2^5 - 345*T1^9*T2^5 - 514*T1^10*T2^5 + 
     698*T1^11*T2^5 - 56*T1^12*T2^5 - 37*T1^13*T2^5 + 20*T2^6 + 119*T1*T2^6 - 
     489*T1^2*T2^6 - 514*T1^3*T2^6 + 1330*T1^4*T2^6 - 1670*T1^5*T2^6 - 
     3152*T1^6*T2^6 + 6318*T1^7*T2^6 - 3152*T1^8*T2^6 - 1670*T1^9*T2^6 + 
     1330*T1^10*T2^6 - 514*T1^11*T2^6 - 489*T1^12*T2^6 + 119*T1^13*T2^6 + 
     20*T1^14*T2^6 - 7*T2^7 - 91*T1*T2^7 + 86*T1^2*T2^7 + 989*T1^3*T2^7 - 
     345*T1^4*T2^7 - 1670*T1^5*T2^7 + 6318*T1^6*T2^7 - 3796*T1^7*T2^7 - 
     3796*T1^8*T2^7 + 6318*T1^9*T2^7 - 1670*T1^10*T2^7 - 345*T1^11*T2^7 + 
     989*T1^12*T2^7 + 86*T1^13*T2^7 - 91*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 
     42*T1*T2^8 + 82*T1^2*T2^8 - 482*T1^3*T2^8 - 1226*T1^4*T2^8 + 
     2722*T1^5*T2^8 - 3152*T1^6*T2^8 - 3796*T1^7*T2^8 + 8448*T1^8*T2^8 - 
     3796*T1^9*T2^8 - 3152*T1^10*T2^8 + 2722*T1^11*T2^8 - 1226*T1^12*T2^8 - 
     482*T1^13*T2^8 + 82*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 
     7*T1*T2^9 - 91*T1^2*T2^9 + 86*T1^3*T2^9 + 989*T1^4*T2^9 - 
     345*T1^5*T2^9 - 1670*T1^6*T2^9 + 6318*T1^7*T2^9 - 3796*T1^8*T2^9 - 
     3796*T1^9*T2^9 + 6318*T1^10*T2^9 - 1670*T1^11*T2^9 - 345*T1^12*T2^9 + 
     989*T1^13*T2^9 + 86*T1^14*T2^9 - 91*T1^15*T2^9 - 7*T1^16*T2^9 + 
     20*T1^2*T2^10 + 119*T1^3*T2^10 - 489*T1^4*T2^10 - 514*T1^5*T2^10 + 
     1330*T1^6*T2^10 - 1670*T1^7*T2^10 - 3152*T1^8*T2^10 + 6318*T1^9*T2^10 - 
     3152*T1^10*T2^10 - 1670*T1^11*T2^10 + 1330*T1^12*T2^10 - 
     514*T1^13*T2^10 - 489*T1^14*T2^10 + 119*T1^15*T2^10 + 20*T1^16*T2^10 - 
     37*T1^3*T2^11 - 56*T1^4*T2^11 + 698*T1^5*T2^11 - 514*T1^6*T2^11 - 
     345*T1^7*T2^11 + 2722*T1^8*T2^11 - 1670*T1^9*T2^11 - 1670*T1^10*T2^11 + 
     2722*T1^11*T2^11 - 345*T1^12*T2^11 - 514*T1^13*T2^11 + 698*T1^14*T2^11 - 
     56*T1^15*T2^11 - 37*T1^16*T2^11 + 45*T1^4*T2^12 - 56*T1^5*T2^12 - 
     489*T1^6*T2^12 + 989*T1^7*T2^12 - 1226*T1^8*T2^12 - 345*T1^9*T2^12 + 
     1330*T1^10*T2^12 - 345*T1^11*T2^12 - 1226*T1^12*T2^12 + 
     989*T1^13*T2^12 - 489*T1^14*T2^12 - 56*T1^15*T2^12 + 45*T1^16*T2^12 - 
     37*T1^5*T2^13 + 119*T1^6*T2^13 + 86*T1^7*T2^13 - 482*T1^8*T2^13 + 
     989*T1^9*T2^13 - 514*T1^10*T2^13 - 514*T1^11*T2^13 + 989*T1^12*T2^13 - 
     482*T1^13*T2^13 + 86*T1^14*T2^13 + 119*T1^15*T2^13 - 37*T1^16*T2^13 + 
     20*T1^6*T2^14 - 91*T1^7*T2^14 + 82*T1^8*T2^14 + 86*T1^9*T2^14 - 
     489*T1^10*T2^14 + 698*T1^11*T2^14 - 489*T1^12*T2^14 + 86*T1^13*T2^14 + 
     82*T1^14*T2^14 - 91*T1^15*T2^14 + 20*T1^16*T2^14 - 7*T1^7*T2^15 + 
     42*T1^8*T2^15 - 91*T1^9*T2^15 + 119*T1^10*T2^15 - 56*T1^11*T2^15 - 
     56*T1^12*T2^15 + 119*T1^13*T2^15 - 91*T1^14*T2^15 + 42*T1^15*T2^15 - 
     7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 20*T1^10*T2^16 - 
     37*T1^11*T2^16 + 45*T1^12*T2^16 - 37*T1^13*T2^16 + 20*T1^14*T2^16 - 
     7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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), -((1 - 8*T1 + 30*T1^2 - 65*T1^3 + 83*T1^4 - 65*T1^5 + 30*T1^6 - 
      8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 176*T1^2*T2 + 280*T1^3*T2 - 
      144*T1^4*T2 - 144*T1^5*T2 + 280*T1^6*T2 - 176*T1^7*T2 + 56*T1^8*T2 - 
      8*T1^9*T2 + 30*T2^2 - 176*T1*T2^2 + 418*T1^2*T2^2 - 262*T1^3*T2^2 - 
      805*T1^4*T2^2 + 1464*T1^5*T2^2 - 805*T1^6*T2^2 - 262*T1^7*T2^2 + 
      418*T1^8*T2^2 - 176*T1^9*T2^2 + 30*T1^10*T2^2 - 65*T2^3 + 280*T1*T2^3 - 
      262*T1^2*T2^3 - 1196*T1^3*T2^3 + 3712*T1^4*T2^3 - 2156*T1^5*T2^3 - 
      2156*T1^6*T2^3 + 3712*T1^7*T2^3 - 1196*T1^8*T2^3 - 262*T1^9*T2^3 + 
      280*T1^10*T2^3 - 65*T1^11*T2^3 + 83*T2^4 - 144*T1*T2^4 - 
      805*T1^2*T2^4 + 3712*T1^3*T2^4 - 4134*T1^4*T2^4 - 6320*T1^5*T2^4 + 
      13064*T1^6*T2^4 - 6320*T1^7*T2^4 - 4134*T1^8*T2^4 + 3712*T1^9*T2^4 - 
      805*T1^10*T2^4 - 144*T1^11*T2^4 + 83*T1^12*T2^4 - 65*T2^5 - 
      144*T1*T2^5 + 1464*T1^2*T2^5 - 2156*T1^3*T2^5 - 6320*T1^4*T2^5 + 
      24158*T1^5*T2^5 - 14242*T1^6*T2^5 - 14242*T1^7*T2^5 + 24158*T1^8*T2^5 - 
      6320*T1^9*T2^5 - 2156*T1^10*T2^5 + 1464*T1^11*T2^5 - 144*T1^12*T2^5 - 
      65*T1^13*T2^5 + 30*T2^6 + 280*T1*T2^6 - 805*T1^2*T2^6 - 
      2156*T1^3*T2^6 + 13064*T1^4*T2^6 - 14242*T1^5*T2^6 - 31603*T1^6*T2^6 + 
      60703*T1^7*T2^6 - 31603*T1^8*T2^6 - 14242*T1^9*T2^6 + 
      13064*T1^10*T2^6 - 2156*T1^11*T2^6 - 805*T1^12*T2^6 + 280*T1^13*T2^6 + 
      30*T1^14*T2^6 - 8*T2^7 - 176*T1*T2^7 - 262*T1^2*T2^7 + 3712*T1^3*T2^7 - 
      6320*T1^4*T2^7 - 14242*T1^5*T2^7 + 60703*T1^6*T2^7 - 36044*T1^7*T2^7 - 
      36044*T1^8*T2^7 + 60703*T1^9*T2^7 - 14242*T1^10*T2^7 - 
      6320*T1^11*T2^7 + 3712*T1^12*T2^7 - 262*T1^13*T2^7 - 176*T1^14*T2^7 - 
      8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 418*T1^2*T2^8 - 1196*T1^3*T2^8 - 
      4134*T1^4*T2^8 + 24158*T1^5*T2^8 - 31603*T1^6*T2^8 - 36044*T1^7*T2^8 + 
      80052*T1^8*T2^8 - 36044*T1^9*T2^8 - 31603*T1^10*T2^8 + 
      24158*T1^11*T2^8 - 4134*T1^12*T2^8 - 1196*T1^13*T2^8 + 418*T1^14*T2^8 + 
      56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 176*T1^2*T2^9 - 
      262*T1^3*T2^9 + 3712*T1^4*T2^9 - 6320*T1^5*T2^9 - 14242*T1^6*T2^9 + 
      60703*T1^7*T2^9 - 36044*T1^8*T2^9 - 36044*T1^9*T2^9 + 
      60703*T1^10*T2^9 - 14242*T1^11*T2^9 - 6320*T1^12*T2^9 + 
      3712*T1^13*T2^9 - 262*T1^14*T2^9 - 176*T1^15*T2^9 - 8*T1^16*T2^9 + 
      30*T1^2*T2^10 + 280*T1^3*T2^10 - 805*T1^4*T2^10 - 2156*T1^5*T2^10 + 
      13064*T1^6*T2^10 - 14242*T1^7*T2^10 - 31603*T1^8*T2^10 + 
      60703*T1^9*T2^10 - 31603*T1^10*T2^10 - 14242*T1^11*T2^10 + 
      13064*T1^12*T2^10 - 2156*T1^13*T2^10 - 805*T1^14*T2^10 + 
      280*T1^15*T2^10 + 30*T1^16*T2^10 - 65*T1^3*T2^11 - 144*T1^4*T2^11 + 
      1464*T1^5*T2^11 - 2156*T1^6*T2^11 - 6320*T1^7*T2^11 + 
      24158*T1^8*T2^11 - 14242*T1^9*T2^11 - 14242*T1^10*T2^11 + 
      24158*T1^11*T2^11 - 6320*T1^12*T2^11 - 2156*T1^13*T2^11 + 
      1464*T1^14*T2^11 - 144*T1^15*T2^11 - 65*T1^16*T2^11 + 83*T1^4*T2^12 - 
      144*T1^5*T2^12 - 805*T1^6*T2^12 + 3712*T1^7*T2^12 - 4134*T1^8*T2^12 - 
      6320*T1^9*T2^12 + 13064*T1^10*T2^12 - 6320*T1^11*T2^12 - 
      4134*T1^12*T2^12 + 3712*T1^13*T2^12 - 805*T1^14*T2^12 - 
      144*T1^15*T2^12 + 83*T1^16*T2^12 - 65*T1^5*T2^13 + 280*T1^6*T2^13 - 
      262*T1^7*T2^13 - 1196*T1^8*T2^13 + 3712*T1^9*T2^13 - 2156*T1^10*T2^13 - 
      2156*T1^11*T2^13 + 3712*T1^12*T2^13 - 1196*T1^13*T2^13 - 
      262*T1^14*T2^13 + 280*T1^15*T2^13 - 65*T1^16*T2^13 + 30*T1^6*T2^14 - 
      176*T1^7*T2^14 + 418*T1^8*T2^14 - 262*T1^9*T2^14 - 805*T1^10*T2^14 + 
      1464*T1^11*T2^14 - 805*T1^12*T2^14 - 262*T1^13*T2^14 + 
      418*T1^14*T2^14 - 176*T1^15*T2^14 + 30*T1^16*T2^14 - 8*T1^7*T2^15 + 
      56*T1^8*T2^15 - 176*T1^9*T2^15 + 280*T1^10*T2^15 - 144*T1^11*T2^15 - 
      144*T1^12*T2^15 + 280*T1^13*T2^15 - 176*T1^14*T2^15 + 56*T1^15*T2^15 - 
      8*T1^16*T2^15 + T1^8*T2^16 - 8*T1^9*T2^16 + 30*T1^10*T2^16 - 
      65*T1^11*T2^16 + 83*T1^12*T2^16 - 65*T1^13*T2^16 + 30*T1^14*T2^16 - 
      8*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 89] -> 
  {(4 - 17*T + 38*T^2 - 49*T^3 + 38*T^4 - 17*T^5 + 4*T^6)/T^3, 
   -((80 - 332*T1 + 740*T1^2 - 952*T1^3 + 740*T1^4 - 332*T1^5 + 80*T1^6 - 
      332*T2 + 1050*T1*T2 - 1701*T1^2*T2 + 885*T1^3*T2 + 885*T1^4*T2 - 
      1701*T1^5*T2 + 1050*T1^6*T2 - 332*T1^7*T2 + 740*T2^2 - 1701*T1*T2^2 + 
      1867*T1^2*T2^2 + 912*T1^3*T2^2 - 2803*T1^4*T2^2 + 912*T1^5*T2^2 + 
      1867*T1^6*T2^2 - 1701*T1^7*T2^2 + 740*T1^8*T2^2 - 952*T2^3 + 
      885*T1*T2^3 + 912*T1^2*T2^3 - 5422*T1^3*T2^3 + 3421*T1^4*T2^3 + 
      3421*T1^5*T2^3 - 5422*T1^6*T2^3 + 912*T1^7*T2^3 + 885*T1^8*T2^3 - 
      952*T1^9*T2^3 + 740*T2^4 + 885*T1*T2^4 - 2803*T1^2*T2^4 + 
      3421*T1^3*T2^4 + 7482*T1^4*T2^4 - 14854*T1^5*T2^4 + 7482*T1^6*T2^4 + 
      3421*T1^7*T2^4 - 2803*T1^8*T2^4 + 885*T1^9*T2^4 + 740*T1^10*T2^4 - 
      332*T2^5 - 1701*T1*T2^5 + 912*T1^2*T2^5 + 3421*T1^3*T2^5 - 
      14854*T1^4*T2^5 + 9132*T1^5*T2^5 + 9132*T1^6*T2^5 - 14854*T1^7*T2^5 + 
      3421*T1^8*T2^5 + 912*T1^9*T2^5 - 1701*T1^10*T2^5 - 332*T1^11*T2^5 + 
      80*T2^6 + 1050*T1*T2^6 + 1867*T1^2*T2^6 - 5422*T1^3*T2^6 + 
      7482*T1^4*T2^6 + 9132*T1^5*T2^6 - 20580*T1^6*T2^6 + 9132*T1^7*T2^6 + 
      7482*T1^8*T2^6 - 5422*T1^9*T2^6 + 1867*T1^10*T2^6 + 1050*T1^11*T2^6 + 
      80*T1^12*T2^6 - 332*T1*T2^7 - 1701*T1^2*T2^7 + 912*T1^3*T2^7 + 
      3421*T1^4*T2^7 - 14854*T1^5*T2^7 + 9132*T1^6*T2^7 + 9132*T1^7*T2^7 - 
      14854*T1^8*T2^7 + 3421*T1^9*T2^7 + 912*T1^10*T2^7 - 1701*T1^11*T2^7 - 
      332*T1^12*T2^7 + 740*T1^2*T2^8 + 885*T1^3*T2^8 - 2803*T1^4*T2^8 + 
      3421*T1^5*T2^8 + 7482*T1^6*T2^8 - 14854*T1^7*T2^8 + 7482*T1^8*T2^8 + 
      3421*T1^9*T2^8 - 2803*T1^10*T2^8 + 885*T1^11*T2^8 + 740*T1^12*T2^8 - 
      952*T1^3*T2^9 + 885*T1^4*T2^9 + 912*T1^5*T2^9 - 5422*T1^6*T2^9 + 
      3421*T1^7*T2^9 + 3421*T1^8*T2^9 - 5422*T1^9*T2^9 + 912*T1^10*T2^9 + 
      885*T1^11*T2^9 - 952*T1^12*T2^9 + 740*T1^4*T2^10 - 1701*T1^5*T2^10 + 
      1867*T1^6*T2^10 + 912*T1^7*T2^10 - 2803*T1^8*T2^10 + 912*T1^9*T2^10 + 
      1867*T1^10*T2^10 - 1701*T1^11*T2^10 + 740*T1^12*T2^10 - 
      332*T1^5*T2^11 + 1050*T1^6*T2^11 - 1701*T1^7*T2^11 + 885*T1^8*T2^11 + 
      885*T1^9*T2^11 - 1701*T1^10*T2^11 + 1050*T1^11*T2^11 - 
      332*T1^12*T2^11 + 80*T1^6*T2^12 - 332*T1^7*T2^12 + 740*T1^8*T2^12 - 
      952*T1^9*T2^12 + 740*T1^10*T2^12 - 332*T1^11*T2^12 + 80*T1^12*T2^12)/
     (T1^6*T2^6))}, 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), -((1 - 7*T1 + 24*T1^2 - 49*T1^3 + 61*T1^4 - 49*T1^5 + 24*T1^6 - 
      7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 119*T1^2*T2 + 175*T1^3*T2 - 
      84*T1^4*T2 - 84*T1^5*T2 + 175*T1^6*T2 - 119*T1^7*T2 + 42*T1^8*T2 - 
      7*T1^9*T2 + 24*T2^2 - 119*T1*T2^2 + 256*T1^2*T2^2 - 162*T1^3*T2^2 - 
      381*T1^4*T2^2 + 666*T1^5*T2^2 - 381*T1^6*T2^2 - 162*T1^7*T2^2 + 
      256*T1^8*T2^2 - 119*T1^9*T2^2 + 24*T1^10*T2^2 - 49*T2^3 + 175*T1*T2^3 - 
      162*T1^2*T2^3 - 528*T1^3*T2^3 + 1616*T1^4*T2^3 - 831*T1^5*T2^3 - 
      831*T1^6*T2^3 + 1616*T1^7*T2^3 - 528*T1^8*T2^3 - 162*T1^9*T2^3 + 
      175*T1^10*T2^3 - 49*T1^11*T2^3 + 61*T2^4 - 84*T1*T2^4 - 381*T1^2*T2^4 + 
      1616*T1^3*T2^4 - 1730*T1^4*T2^4 - 2453*T1^5*T2^4 + 4530*T1^6*T2^4 - 
      2453*T1^7*T2^4 - 1730*T1^8*T2^4 + 1616*T1^9*T2^4 - 381*T1^10*T2^4 - 
      84*T1^11*T2^4 + 61*T1^12*T2^4 - 49*T2^5 - 84*T1*T2^5 + 666*T1^2*T2^5 - 
      831*T1^3*T2^5 - 2453*T1^4*T2^5 + 8882*T1^5*T2^5 - 4453*T1^6*T2^5 - 
      4453*T1^7*T2^5 + 8882*T1^8*T2^5 - 2453*T1^9*T2^5 - 831*T1^10*T2^5 + 
      666*T1^11*T2^5 - 84*T1^12*T2^5 - 49*T1^13*T2^5 + 24*T2^6 + 
      175*T1*T2^6 - 381*T1^2*T2^6 - 831*T1^3*T2^6 + 4530*T1^4*T2^6 - 
      4453*T1^5*T2^6 - 12010*T1^6*T2^6 + 19784*T1^7*T2^6 - 12010*T1^8*T2^6 - 
      4453*T1^9*T2^6 + 4530*T1^10*T2^6 - 831*T1^11*T2^6 - 381*T1^12*T2^6 + 
      175*T1^13*T2^6 + 24*T1^14*T2^6 - 7*T2^7 - 119*T1*T2^7 - 162*T1^2*T2^7 + 
      1616*T1^3*T2^7 - 2453*T1^4*T2^7 - 4453*T1^5*T2^7 + 19784*T1^6*T2^7 - 
      9868*T1^7*T2^7 - 9868*T1^8*T2^7 + 19784*T1^9*T2^7 - 4453*T1^10*T2^7 - 
      2453*T1^11*T2^7 + 1616*T1^12*T2^7 - 162*T1^13*T2^7 - 119*T1^14*T2^7 - 
      7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 256*T1^2*T2^8 - 528*T1^3*T2^8 - 
      1730*T1^4*T2^8 + 8882*T1^5*T2^8 - 12010*T1^6*T2^8 - 9868*T1^7*T2^8 + 
      20172*T1^8*T2^8 - 9868*T1^9*T2^8 - 12010*T1^10*T2^8 + 8882*T1^11*T2^8 - 
      1730*T1^12*T2^8 - 528*T1^13*T2^8 + 256*T1^14*T2^8 + 42*T1^15*T2^8 + 
      T1^16*T2^8 - 7*T1*T2^9 - 119*T1^2*T2^9 - 162*T1^3*T2^9 + 
      1616*T1^4*T2^9 - 2453*T1^5*T2^9 - 4453*T1^6*T2^9 + 19784*T1^7*T2^9 - 
      9868*T1^8*T2^9 - 9868*T1^9*T2^9 + 19784*T1^10*T2^9 - 4453*T1^11*T2^9 - 
      2453*T1^12*T2^9 + 1616*T1^13*T2^9 - 162*T1^14*T2^9 - 119*T1^15*T2^9 - 
      7*T1^16*T2^9 + 24*T1^2*T2^10 + 175*T1^3*T2^10 - 381*T1^4*T2^10 - 
      831*T1^5*T2^10 + 4530*T1^6*T2^10 - 4453*T1^7*T2^10 - 12010*T1^8*T2^10 + 
      19784*T1^9*T2^10 - 12010*T1^10*T2^10 - 4453*T1^11*T2^10 + 
      4530*T1^12*T2^10 - 831*T1^13*T2^10 - 381*T1^14*T2^10 + 
      175*T1^15*T2^10 + 24*T1^16*T2^10 - 49*T1^3*T2^11 - 84*T1^4*T2^11 + 
      666*T1^5*T2^11 - 831*T1^6*T2^11 - 2453*T1^7*T2^11 + 8882*T1^8*T2^11 - 
      4453*T1^9*T2^11 - 4453*T1^10*T2^11 + 8882*T1^11*T2^11 - 
      2453*T1^12*T2^11 - 831*T1^13*T2^11 + 666*T1^14*T2^11 - 84*T1^15*T2^11 - 
      49*T1^16*T2^11 + 61*T1^4*T2^12 - 84*T1^5*T2^12 - 381*T1^6*T2^12 + 
      1616*T1^7*T2^12 - 1730*T1^8*T2^12 - 2453*T1^9*T2^12 + 
      4530*T1^10*T2^12 - 2453*T1^11*T2^12 - 1730*T1^12*T2^12 + 
      1616*T1^13*T2^12 - 381*T1^14*T2^12 - 84*T1^15*T2^12 + 61*T1^16*T2^12 - 
      49*T1^5*T2^13 + 175*T1^6*T2^13 - 162*T1^7*T2^13 - 528*T1^8*T2^13 + 
      1616*T1^9*T2^13 - 831*T1^10*T2^13 - 831*T1^11*T2^13 + 
      1616*T1^12*T2^13 - 528*T1^13*T2^13 - 162*T1^14*T2^13 + 
      175*T1^15*T2^13 - 49*T1^16*T2^13 + 24*T1^6*T2^14 - 119*T1^7*T2^14 + 
      256*T1^8*T2^14 - 162*T1^9*T2^14 - 381*T1^10*T2^14 + 666*T1^11*T2^14 - 
      381*T1^12*T2^14 - 162*T1^13*T2^14 + 256*T1^14*T2^14 - 119*T1^15*T2^14 + 
      24*T1^16*T2^14 - 7*T1^7*T2^15 + 42*T1^8*T2^15 - 119*T1^9*T2^15 + 
      175*T1^10*T2^15 - 84*T1^11*T2^15 - 84*T1^12*T2^15 + 175*T1^13*T2^15 - 
      119*T1^14*T2^15 + 42*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 
      7*T1^9*T2^16 + 24*T1^10*T2^16 - 49*T1^11*T2^16 + 61*T1^12*T2^16 - 
      49*T1^13*T2^16 + 24*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, 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, 
   (2 - 16*T1 + 52*T1^2 - 94*T1^3 + 114*T1^4 - 94*T1^5 + 52*T1^6 - 16*T1^7 + 
     2*T1^8 - 16*T2 + 112*T1*T2 - 288*T1^2*T2 + 336*T1^3*T2 - 160*T1^4*T2 - 
     160*T1^5*T2 + 336*T1^6*T2 - 288*T1^7*T2 + 112*T1^8*T2 - 16*T1^9*T2 + 
     52*T2^2 - 288*T1*T2^2 + 384*T1^2*T2^2 + 449*T1^3*T2^2 - 1668*T1^4*T2^2 + 
     2370*T1^5*T2^2 - 1668*T1^6*T2^2 + 449*T1^7*T2^2 + 384*T1^8*T2^2 - 
     288*T1^9*T2^2 + 52*T1^10*T2^2 - 94*T2^3 + 336*T1*T2^3 + 449*T1^2*T2^3 - 
     3092*T1^3*T2^3 + 4076*T1^4*T2^3 - 2159*T1^5*T2^3 - 2159*T1^6*T2^3 + 
     4076*T1^7*T2^3 - 3092*T1^8*T2^3 + 449*T1^9*T2^3 + 336*T1^10*T2^3 - 
     94*T1^11*T2^3 + 114*T2^4 - 160*T1*T2^4 - 1668*T1^2*T2^4 + 
     4076*T1^3*T2^4 + 236*T1^4*T2^4 - 7290*T1^5*T2^4 + 12172*T1^6*T2^4 - 
     7290*T1^7*T2^4 + 236*T1^8*T2^4 + 4076*T1^9*T2^4 - 1668*T1^10*T2^4 - 
     160*T1^11*T2^4 + 114*T1^12*T2^4 - 94*T2^5 - 160*T1*T2^5 + 
     2370*T1^2*T2^5 - 2159*T1^3*T2^5 - 7290*T1^4*T2^5 + 11626*T1^5*T2^5 - 
     7249*T1^6*T2^5 - 7249*T1^7*T2^5 + 11626*T1^8*T2^5 - 7290*T1^9*T2^5 - 
     2159*T1^10*T2^5 + 2370*T1^11*T2^5 - 160*T1^12*T2^5 - 94*T1^13*T2^5 + 
     52*T2^6 + 336*T1*T2^6 - 1668*T1^2*T2^6 - 2159*T1^3*T2^6 + 
     12172*T1^4*T2^6 - 7249*T1^5*T2^6 - 4109*T1^6*T2^6 + 15003*T1^7*T2^6 - 
     4109*T1^8*T2^6 - 7249*T1^9*T2^6 + 12172*T1^10*T2^6 - 2159*T1^11*T2^6 - 
     1668*T1^12*T2^6 + 336*T1^13*T2^6 + 52*T1^14*T2^6 - 16*T2^7 - 
     288*T1*T2^7 + 449*T1^2*T2^7 + 4076*T1^3*T2^7 - 7290*T1^4*T2^7 - 
     7249*T1^5*T2^7 + 15003*T1^6*T2^7 - 11174*T1^7*T2^7 - 11174*T1^8*T2^7 + 
     15003*T1^9*T2^7 - 7249*T1^10*T2^7 - 7290*T1^11*T2^7 + 4076*T1^12*T2^7 + 
     449*T1^13*T2^7 - 288*T1^14*T2^7 - 16*T1^15*T2^7 + 2*T2^8 + 112*T1*T2^8 + 
     384*T1^2*T2^8 - 3092*T1^3*T2^8 + 236*T1^4*T2^8 + 11626*T1^5*T2^8 - 
     4109*T1^6*T2^8 - 11174*T1^7*T2^8 + 26268*T1^8*T2^8 - 11174*T1^9*T2^8 - 
     4109*T1^10*T2^8 + 11626*T1^11*T2^8 + 236*T1^12*T2^8 - 3092*T1^13*T2^8 + 
     384*T1^14*T2^8 + 112*T1^15*T2^8 + 2*T1^16*T2^8 - 16*T1*T2^9 - 
     288*T1^2*T2^9 + 449*T1^3*T2^9 + 4076*T1^4*T2^9 - 7290*T1^5*T2^9 - 
     7249*T1^6*T2^9 + 15003*T1^7*T2^9 - 11174*T1^8*T2^9 - 11174*T1^9*T2^9 + 
     15003*T1^10*T2^9 - 7249*T1^11*T2^9 - 7290*T1^12*T2^9 + 4076*T1^13*T2^9 + 
     449*T1^14*T2^9 - 288*T1^15*T2^9 - 16*T1^16*T2^9 + 52*T1^2*T2^10 + 
     336*T1^3*T2^10 - 1668*T1^4*T2^10 - 2159*T1^5*T2^10 + 12172*T1^6*T2^10 - 
     7249*T1^7*T2^10 - 4109*T1^8*T2^10 + 15003*T1^9*T2^10 - 
     4109*T1^10*T2^10 - 7249*T1^11*T2^10 + 12172*T1^12*T2^10 - 
     2159*T1^13*T2^10 - 1668*T1^14*T2^10 + 336*T1^15*T2^10 + 52*T1^16*T2^10 - 
     94*T1^3*T2^11 - 160*T1^4*T2^11 + 2370*T1^5*T2^11 - 2159*T1^6*T2^11 - 
     7290*T1^7*T2^11 + 11626*T1^8*T2^11 - 7249*T1^9*T2^11 - 
     7249*T1^10*T2^11 + 11626*T1^11*T2^11 - 7290*T1^12*T2^11 - 
     2159*T1^13*T2^11 + 2370*T1^14*T2^11 - 160*T1^15*T2^11 - 94*T1^16*T2^11 + 
     114*T1^4*T2^12 - 160*T1^5*T2^12 - 1668*T1^6*T2^12 + 4076*T1^7*T2^12 + 
     236*T1^8*T2^12 - 7290*T1^9*T2^12 + 12172*T1^10*T2^12 - 
     7290*T1^11*T2^12 + 236*T1^12*T2^12 + 4076*T1^13*T2^12 - 
     1668*T1^14*T2^12 - 160*T1^15*T2^12 + 114*T1^16*T2^12 - 94*T1^5*T2^13 + 
     336*T1^6*T2^13 + 449*T1^7*T2^13 - 3092*T1^8*T2^13 + 4076*T1^9*T2^13 - 
     2159*T1^10*T2^13 - 2159*T1^11*T2^13 + 4076*T1^12*T2^13 - 
     3092*T1^13*T2^13 + 449*T1^14*T2^13 + 336*T1^15*T2^13 - 94*T1^16*T2^13 + 
     52*T1^6*T2^14 - 288*T1^7*T2^14 + 384*T1^8*T2^14 + 449*T1^9*T2^14 - 
     1668*T1^10*T2^14 + 2370*T1^11*T2^14 - 1668*T1^12*T2^14 + 
     449*T1^13*T2^14 + 384*T1^14*T2^14 - 288*T1^15*T2^14 + 52*T1^16*T2^14 - 
     16*T1^7*T2^15 + 112*T1^8*T2^15 - 288*T1^9*T2^15 + 336*T1^10*T2^15 - 
     160*T1^11*T2^15 - 160*T1^12*T2^15 + 336*T1^13*T2^15 - 288*T1^14*T2^15 + 
     112*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)/(T1^8*T2^8)}, 
 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), (1 - 8*T1 + 23*T1^2 - 40*T1^3 + 47*T1^4 - 40*T1^5 + 23*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 120*T1^2*T2 + 136*T1^3*T2 - 
     56*T1^4*T2 - 56*T1^5*T2 + 136*T1^6*T2 - 120*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 23*T2^2 - 120*T1*T2^2 + 47*T1^2*T2^2 + 345*T1^3*T2^2 - 
     906*T1^4*T2^2 + 1115*T1^5*T2^2 - 906*T1^6*T2^2 + 345*T1^7*T2^2 + 
     47*T1^8*T2^2 - 120*T1^9*T2^2 + 23*T1^10*T2^2 - 40*T2^3 + 136*T1*T2^3 + 
     345*T1^2*T2^3 - 1172*T1^3*T2^3 + 1550*T1^4*T2^3 - 612*T1^5*T2^3 - 
     612*T1^6*T2^3 + 1550*T1^7*T2^3 - 1172*T1^8*T2^3 + 345*T1^9*T2^3 + 
     136*T1^10*T2^3 - 40*T1^11*T2^3 + 47*T2^4 - 56*T1*T2^4 - 906*T1^2*T2^4 + 
     1550*T1^3*T2^4 - 757*T1^4*T2^4 - 1546*T1^5*T2^4 + 2253*T1^6*T2^4 - 
     1546*T1^7*T2^4 - 757*T1^8*T2^4 + 1550*T1^9*T2^4 - 906*T1^10*T2^4 - 
     56*T1^11*T2^4 + 47*T1^12*T2^4 - 40*T2^5 - 56*T1*T2^5 + 1115*T1^2*T2^5 - 
     612*T1^3*T2^5 - 1546*T1^4*T2^5 + 3574*T1^5*T2^5 - 1390*T1^6*T2^5 - 
     1390*T1^7*T2^5 + 3574*T1^8*T2^5 - 1546*T1^9*T2^5 - 612*T1^10*T2^5 + 
     1115*T1^11*T2^5 - 56*T1^12*T2^5 - 40*T1^13*T2^5 + 23*T2^6 + 
     136*T1*T2^6 - 906*T1^2*T2^6 - 612*T1^3*T2^6 + 2253*T1^4*T2^6 - 
     1390*T1^5*T2^6 - 3738*T1^6*T2^6 + 5298*T1^7*T2^6 - 3738*T1^8*T2^6 - 
     1390*T1^9*T2^6 + 2253*T1^10*T2^6 - 612*T1^11*T2^6 - 906*T1^12*T2^6 + 
     136*T1^13*T2^6 + 23*T1^14*T2^6 - 8*T2^7 - 120*T1*T2^7 + 345*T1^2*T2^7 + 
     1550*T1^3*T2^7 - 1546*T1^4*T2^7 - 1390*T1^5*T2^7 + 5298*T1^6*T2^7 - 
     2142*T1^7*T2^7 - 2142*T1^8*T2^7 + 5298*T1^9*T2^7 - 1390*T1^10*T2^7 - 
     1546*T1^11*T2^7 + 1550*T1^12*T2^7 + 345*T1^13*T2^7 - 120*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 47*T1^2*T2^8 - 1172*T1^3*T2^8 - 
     757*T1^4*T2^8 + 3574*T1^5*T2^8 - 3738*T1^6*T2^8 - 2142*T1^7*T2^8 + 
     3996*T1^8*T2^8 - 2142*T1^9*T2^8 - 3738*T1^10*T2^8 + 3574*T1^11*T2^8 - 
     757*T1^12*T2^8 - 1172*T1^13*T2^8 + 47*T1^14*T2^8 + 56*T1^15*T2^8 + 
     T1^16*T2^8 - 8*T1*T2^9 - 120*T1^2*T2^9 + 345*T1^3*T2^9 + 
     1550*T1^4*T2^9 - 1546*T1^5*T2^9 - 1390*T1^6*T2^9 + 5298*T1^7*T2^9 - 
     2142*T1^8*T2^9 - 2142*T1^9*T2^9 + 5298*T1^10*T2^9 - 1390*T1^11*T2^9 - 
     1546*T1^12*T2^9 + 1550*T1^13*T2^9 + 345*T1^14*T2^9 - 120*T1^15*T2^9 - 
     8*T1^16*T2^9 + 23*T1^2*T2^10 + 136*T1^3*T2^10 - 906*T1^4*T2^10 - 
     612*T1^5*T2^10 + 2253*T1^6*T2^10 - 1390*T1^7*T2^10 - 3738*T1^8*T2^10 + 
     5298*T1^9*T2^10 - 3738*T1^10*T2^10 - 1390*T1^11*T2^10 + 
     2253*T1^12*T2^10 - 612*T1^13*T2^10 - 906*T1^14*T2^10 + 136*T1^15*T2^10 + 
     23*T1^16*T2^10 - 40*T1^3*T2^11 - 56*T1^4*T2^11 + 1115*T1^5*T2^11 - 
     612*T1^6*T2^11 - 1546*T1^7*T2^11 + 3574*T1^8*T2^11 - 1390*T1^9*T2^11 - 
     1390*T1^10*T2^11 + 3574*T1^11*T2^11 - 1546*T1^12*T2^11 - 
     612*T1^13*T2^11 + 1115*T1^14*T2^11 - 56*T1^15*T2^11 - 40*T1^16*T2^11 + 
     47*T1^4*T2^12 - 56*T1^5*T2^12 - 906*T1^6*T2^12 + 1550*T1^7*T2^12 - 
     757*T1^8*T2^12 - 1546*T1^9*T2^12 + 2253*T1^10*T2^12 - 1546*T1^11*T2^12 - 
     757*T1^12*T2^12 + 1550*T1^13*T2^12 - 906*T1^14*T2^12 - 56*T1^15*T2^12 + 
     47*T1^16*T2^12 - 40*T1^5*T2^13 + 136*T1^6*T2^13 + 345*T1^7*T2^13 - 
     1172*T1^8*T2^13 + 1550*T1^9*T2^13 - 612*T1^10*T2^13 - 612*T1^11*T2^13 + 
     1550*T1^12*T2^13 - 1172*T1^13*T2^13 + 345*T1^14*T2^13 + 
     136*T1^15*T2^13 - 40*T1^16*T2^13 + 23*T1^6*T2^14 - 120*T1^7*T2^14 + 
     47*T1^8*T2^14 + 345*T1^9*T2^14 - 906*T1^10*T2^14 + 1115*T1^11*T2^14 - 
     906*T1^12*T2^14 + 345*T1^13*T2^14 + 47*T1^14*T2^14 - 120*T1^15*T2^14 + 
     23*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 120*T1^9*T2^15 + 
     136*T1^10*T2^15 - 56*T1^11*T2^15 - 56*T1^12*T2^15 + 136*T1^13*T2^15 - 
     120*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
     8*T1^9*T2^16 + 23*T1^10*T2^16 - 40*T1^11*T2^16 + 47*T1^12*T2^16 - 
     40*T1^13*T2^16 + 23*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, 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, (111 - 327*T1 + 574*T1^2 - 745*T1^3 + 813*T1^4 - 745*T1^5 + 
     574*T1^6 - 327*T1^7 + 111*T1^8 - 327*T2 + 644*T1*T2 - 745*T1^2*T2 + 
     524*T1^3*T2 - 209*T1^4*T2 - 209*T1^5*T2 + 524*T1^6*T2 - 745*T1^7*T2 + 
     644*T1^8*T2 - 327*T1^9*T2 + 574*T2^2 - 745*T1*T2^2 + 674*T1^2*T2^2 - 
     425*T1^3*T2^2 + 450*T1^4*T2^2 - 350*T1^5*T2^2 + 450*T1^6*T2^2 - 
     425*T1^7*T2^2 + 674*T1^8*T2^2 - 745*T1^9*T2^2 + 574*T1^10*T2^2 - 
     745*T2^3 + 524*T1*T2^3 - 425*T1^2*T2^3 + 224*T1^3*T2^3 - 383*T1^4*T2^3 + 
     20*T1^5*T2^3 + 20*T1^6*T2^3 - 383*T1^7*T2^3 + 224*T1^8*T2^3 - 
     425*T1^9*T2^3 + 524*T1^10*T2^3 - 745*T1^11*T2^3 + 813*T2^4 - 
     209*T1*T2^4 + 450*T1^2*T2^4 - 383*T1^3*T2^4 + 728*T1^4*T2^4 - 
     298*T1^5*T2^4 + 580*T1^6*T2^4 - 298*T1^7*T2^4 + 728*T1^8*T2^4 - 
     383*T1^9*T2^4 + 450*T1^10*T2^4 - 209*T1^11*T2^4 + 813*T1^12*T2^4 - 
     745*T2^5 - 209*T1*T2^5 - 350*T1^2*T2^5 + 20*T1^3*T2^5 - 298*T1^4*T2^5 - 
     298*T1^5*T2^5 - 204*T1^6*T2^5 - 204*T1^7*T2^5 - 298*T1^8*T2^5 - 
     298*T1^9*T2^5 + 20*T1^10*T2^5 - 350*T1^11*T2^5 - 209*T1^12*T2^5 - 
     745*T1^13*T2^5 + 574*T2^6 + 524*T1*T2^6 + 450*T1^2*T2^6 + 20*T1^3*T2^6 + 
     580*T1^4*T2^6 - 204*T1^5*T2^6 + 1055*T1^6*T2^6 - 537*T1^7*T2^6 + 
     1055*T1^8*T2^6 - 204*T1^9*T2^6 + 580*T1^10*T2^6 + 20*T1^11*T2^6 + 
     450*T1^12*T2^6 + 524*T1^13*T2^6 + 574*T1^14*T2^6 - 327*T2^7 - 
     745*T1*T2^7 - 425*T1^2*T2^7 - 383*T1^3*T2^7 - 298*T1^4*T2^7 - 
     204*T1^5*T2^7 - 537*T1^6*T2^7 - 270*T1^7*T2^7 - 270*T1^8*T2^7 - 
     537*T1^9*T2^7 - 204*T1^10*T2^7 - 298*T1^11*T2^7 - 383*T1^12*T2^7 - 
     425*T1^13*T2^7 - 745*T1^14*T2^7 - 327*T1^15*T2^7 + 111*T2^8 + 
     644*T1*T2^8 + 674*T1^2*T2^8 + 224*T1^3*T2^8 + 728*T1^4*T2^8 - 
     298*T1^5*T2^8 + 1055*T1^6*T2^8 - 270*T1^7*T2^8 + 972*T1^8*T2^8 - 
     270*T1^9*T2^8 + 1055*T1^10*T2^8 - 298*T1^11*T2^8 + 728*T1^12*T2^8 + 
     224*T1^13*T2^8 + 674*T1^14*T2^8 + 644*T1^15*T2^8 + 111*T1^16*T2^8 - 
     327*T1*T2^9 - 745*T1^2*T2^9 - 425*T1^3*T2^9 - 383*T1^4*T2^9 - 
     298*T1^5*T2^9 - 204*T1^6*T2^9 - 537*T1^7*T2^9 - 270*T1^8*T2^9 - 
     270*T1^9*T2^9 - 537*T1^10*T2^9 - 204*T1^11*T2^9 - 298*T1^12*T2^9 - 
     383*T1^13*T2^9 - 425*T1^14*T2^9 - 745*T1^15*T2^9 - 327*T1^16*T2^9 + 
     574*T1^2*T2^10 + 524*T1^3*T2^10 + 450*T1^4*T2^10 + 20*T1^5*T2^10 + 
     580*T1^6*T2^10 - 204*T1^7*T2^10 + 1055*T1^8*T2^10 - 537*T1^9*T2^10 + 
     1055*T1^10*T2^10 - 204*T1^11*T2^10 + 580*T1^12*T2^10 + 20*T1^13*T2^10 + 
     450*T1^14*T2^10 + 524*T1^15*T2^10 + 574*T1^16*T2^10 - 745*T1^3*T2^11 - 
     209*T1^4*T2^11 - 350*T1^5*T2^11 + 20*T1^6*T2^11 - 298*T1^7*T2^11 - 
     298*T1^8*T2^11 - 204*T1^9*T2^11 - 204*T1^10*T2^11 - 298*T1^11*T2^11 - 
     298*T1^12*T2^11 + 20*T1^13*T2^11 - 350*T1^14*T2^11 - 209*T1^15*T2^11 - 
     745*T1^16*T2^11 + 813*T1^4*T2^12 - 209*T1^5*T2^12 + 450*T1^6*T2^12 - 
     383*T1^7*T2^12 + 728*T1^8*T2^12 - 298*T1^9*T2^12 + 580*T1^10*T2^12 - 
     298*T1^11*T2^12 + 728*T1^12*T2^12 - 383*T1^13*T2^12 + 450*T1^14*T2^12 - 
     209*T1^15*T2^12 + 813*T1^16*T2^12 - 745*T1^5*T2^13 + 524*T1^6*T2^13 - 
     425*T1^7*T2^13 + 224*T1^8*T2^13 - 383*T1^9*T2^13 + 20*T1^10*T2^13 + 
     20*T1^11*T2^13 - 383*T1^12*T2^13 + 224*T1^13*T2^13 - 425*T1^14*T2^13 + 
     524*T1^15*T2^13 - 745*T1^16*T2^13 + 574*T1^6*T2^14 - 745*T1^7*T2^14 + 
     674*T1^8*T2^14 - 425*T1^9*T2^14 + 450*T1^10*T2^14 - 350*T1^11*T2^14 + 
     450*T1^12*T2^14 - 425*T1^13*T2^14 + 674*T1^14*T2^14 - 745*T1^15*T2^14 + 
     574*T1^16*T2^14 - 327*T1^7*T2^15 + 644*T1^8*T2^15 - 745*T1^9*T2^15 + 
     524*T1^10*T2^15 - 209*T1^11*T2^15 - 209*T1^12*T2^15 + 524*T1^13*T2^15 - 
     745*T1^14*T2^15 + 644*T1^15*T2^15 - 327*T1^16*T2^15 + 111*T1^8*T2^16 - 
     327*T1^9*T2^16 + 574*T1^10*T2^16 - 745*T1^11*T2^16 + 813*T1^12*T2^16 - 
     745*T1^13*T2^16 + 574*T1^14*T2^16 - 327*T1^15*T2^16 + 111*T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 94] -> 
  {(6 - 20*T + 35*T^2 - 41*T^3 + 35*T^4 - 20*T^5 + 6*T^6)/T^3, 
   (699 - 2281*T1 + 3943*T1^2 - 4593*T1^3 + 3943*T1^4 - 2281*T1^5 + 
     699*T1^6 - 2281*T2 + 5208*T1*T2 - 5512*T1^2*T2 + 2172*T1^3*T2 + 
     2172*T1^4*T2 - 5512*T1^5*T2 + 5208*T1^6*T2 - 2281*T1^7*T2 + 3943*T2^2 - 
     5512*T1*T2^2 + 1602*T1^2*T2^2 + 4340*T1^3*T2^2 - 6056*T1^4*T2^2 + 
     4340*T1^5*T2^2 + 1602*T1^6*T2^2 - 5512*T1^7*T2^2 + 3943*T1^8*T2^2 - 
     4593*T2^3 + 2172*T1*T2^3 + 4340*T1^2*T2^3 - 7148*T1^3*T2^3 + 
     2269*T1^4*T2^3 + 2269*T1^5*T2^3 - 7148*T1^6*T2^3 + 4340*T1^7*T2^3 + 
     2172*T1^8*T2^3 - 4593*T1^9*T2^3 + 3943*T2^4 + 2172*T1*T2^4 - 
     6056*T1^2*T2^4 + 2269*T1^3*T2^4 + 5840*T1^4*T2^4 - 6478*T1^5*T2^4 + 
     5840*T1^6*T2^4 + 2269*T1^7*T2^4 - 6056*T1^8*T2^4 + 2172*T1^9*T2^4 + 
     3943*T1^10*T2^4 - 2281*T2^5 - 5512*T1*T2^5 + 4340*T1^2*T2^5 + 
     2269*T1^3*T2^5 - 6478*T1^4*T2^5 + 1092*T1^5*T2^5 + 1092*T1^6*T2^5 - 
     6478*T1^7*T2^5 + 2269*T1^8*T2^5 + 4340*T1^9*T2^5 - 5512*T1^10*T2^5 - 
     2281*T1^11*T2^5 + 699*T2^6 + 5208*T1*T2^6 + 1602*T1^2*T2^6 - 
     7148*T1^3*T2^6 + 5840*T1^4*T2^6 + 1092*T1^5*T2^6 - 168*T1^6*T2^6 + 
     1092*T1^7*T2^6 + 5840*T1^8*T2^6 - 7148*T1^9*T2^6 + 1602*T1^10*T2^6 + 
     5208*T1^11*T2^6 + 699*T1^12*T2^6 - 2281*T1*T2^7 - 5512*T1^2*T2^7 + 
     4340*T1^3*T2^7 + 2269*T1^4*T2^7 - 6478*T1^5*T2^7 + 1092*T1^6*T2^7 + 
     1092*T1^7*T2^7 - 6478*T1^8*T2^7 + 2269*T1^9*T2^7 + 4340*T1^10*T2^7 - 
     5512*T1^11*T2^7 - 2281*T1^12*T2^7 + 3943*T1^2*T2^8 + 2172*T1^3*T2^8 - 
     6056*T1^4*T2^8 + 2269*T1^5*T2^8 + 5840*T1^6*T2^8 - 6478*T1^7*T2^8 + 
     5840*T1^8*T2^8 + 2269*T1^9*T2^8 - 6056*T1^10*T2^8 + 2172*T1^11*T2^8 + 
     3943*T1^12*T2^8 - 4593*T1^3*T2^9 + 2172*T1^4*T2^9 + 4340*T1^5*T2^9 - 
     7148*T1^6*T2^9 + 2269*T1^7*T2^9 + 2269*T1^8*T2^9 - 7148*T1^9*T2^9 + 
     4340*T1^10*T2^9 + 2172*T1^11*T2^9 - 4593*T1^12*T2^9 + 3943*T1^4*T2^10 - 
     5512*T1^5*T2^10 + 1602*T1^6*T2^10 + 4340*T1^7*T2^10 - 6056*T1^8*T2^10 + 
     4340*T1^9*T2^10 + 1602*T1^10*T2^10 - 5512*T1^11*T2^10 + 
     3943*T1^12*T2^10 - 2281*T1^5*T2^11 + 5208*T1^6*T2^11 - 5512*T1^7*T2^11 + 
     2172*T1^8*T2^11 + 2172*T1^9*T2^11 - 5512*T1^10*T2^11 + 
     5208*T1^11*T2^11 - 2281*T1^12*T2^11 + 699*T1^6*T2^12 - 2281*T1^7*T2^12 + 
     3943*T1^8*T2^12 - 4593*T1^9*T2^12 + 3943*T1^10*T2^12 - 
     2281*T1^11*T2^12 + 699*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 95] -> 
  {(3 - 18*T + 46*T^2 - 61*T^3 + 46*T^4 - 18*T^5 + 3*T^6)/T^3, 
   (30 - 180*T1 + 460*T1^2 - 608*T1^3 + 460*T1^4 - 180*T1^5 + 30*T1^6 - 
     180*T2 + 902*T1*T2 - 1687*T1^2*T2 + 894*T1^3*T2 + 894*T1^4*T2 - 
     1687*T1^5*T2 + 902*T1^6*T2 - 180*T1^7*T2 + 460*T2^2 - 1687*T1*T2^2 + 
     1029*T1^2*T2^2 + 4614*T1^3*T2^2 - 8037*T1^4*T2^2 + 4614*T1^5*T2^2 + 
     1029*T1^6*T2^2 - 1687*T1^7*T2^2 + 460*T1^8*T2^2 - 608*T2^3 + 
     894*T1*T2^3 + 4614*T1^2*T2^3 - 14646*T1^3*T2^3 + 8398*T1^4*T2^3 + 
     8398*T1^5*T2^3 - 14646*T1^6*T2^3 + 4614*T1^7*T2^3 + 894*T1^8*T2^3 - 
     608*T1^9*T2^3 + 460*T2^4 + 894*T1*T2^4 - 8037*T1^2*T2^4 + 
     8398*T1^3*T2^4 + 21091*T1^4*T2^4 - 39503*T1^5*T2^4 + 21091*T1^6*T2^4 + 
     8398*T1^7*T2^4 - 8037*T1^8*T2^4 + 894*T1^9*T2^4 + 460*T1^10*T2^4 - 
     180*T2^5 - 1687*T1*T2^5 + 4614*T1^2*T2^5 + 8398*T1^3*T2^5 - 
     39503*T1^4*T2^5 + 23472*T1^5*T2^5 + 23472*T1^6*T2^5 - 39503*T1^7*T2^5 + 
     8398*T1^8*T2^5 + 4614*T1^9*T2^5 - 1687*T1^10*T2^5 - 180*T1^11*T2^5 + 
     30*T2^6 + 902*T1*T2^6 + 1029*T1^2*T2^6 - 14646*T1^3*T2^6 + 
     21091*T1^4*T2^6 + 23472*T1^5*T2^6 - 52368*T1^6*T2^6 + 23472*T1^7*T2^6 + 
     21091*T1^8*T2^6 - 14646*T1^9*T2^6 + 1029*T1^10*T2^6 + 902*T1^11*T2^6 + 
     30*T1^12*T2^6 - 180*T1*T2^7 - 1687*T1^2*T2^7 + 4614*T1^3*T2^7 + 
     8398*T1^4*T2^7 - 39503*T1^5*T2^7 + 23472*T1^6*T2^7 + 23472*T1^7*T2^7 - 
     39503*T1^8*T2^7 + 8398*T1^9*T2^7 + 4614*T1^10*T2^7 - 1687*T1^11*T2^7 - 
     180*T1^12*T2^7 + 460*T1^2*T2^8 + 894*T1^3*T2^8 - 8037*T1^4*T2^8 + 
     8398*T1^5*T2^8 + 21091*T1^6*T2^8 - 39503*T1^7*T2^8 + 21091*T1^8*T2^8 + 
     8398*T1^9*T2^8 - 8037*T1^10*T2^8 + 894*T1^11*T2^8 + 460*T1^12*T2^8 - 
     608*T1^3*T2^9 + 894*T1^4*T2^9 + 4614*T1^5*T2^9 - 14646*T1^6*T2^9 + 
     8398*T1^7*T2^9 + 8398*T1^8*T2^9 - 14646*T1^9*T2^9 + 4614*T1^10*T2^9 + 
     894*T1^11*T2^9 - 608*T1^12*T2^9 + 460*T1^4*T2^10 - 1687*T1^5*T2^10 + 
     1029*T1^6*T2^10 + 4614*T1^7*T2^10 - 8037*T1^8*T2^10 + 4614*T1^9*T2^10 + 
     1029*T1^10*T2^10 - 1687*T1^11*T2^10 + 460*T1^12*T2^10 - 180*T1^5*T2^11 + 
     902*T1^6*T2^11 - 1687*T1^7*T2^11 + 894*T1^8*T2^11 + 894*T1^9*T2^11 - 
     1687*T1^10*T2^11 + 902*T1^11*T2^11 - 180*T1^12*T2^11 + 30*T1^6*T2^12 - 
     180*T1^7*T2^12 + 460*T1^8*T2^12 - 608*T1^9*T2^12 + 460*T1^10*T2^12 - 
     180*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 96] -> 
  {(5 - 15*T + 24*T^2 - 27*T^3 + 24*T^4 - 15*T^5 + 5*T^6)/T^3, 
   (415 - 1225*T1 + 1950*T1^2 - 2189*T1^3 + 1950*T1^4 - 1225*T1^5 + 
     415*T1^6 - 1225*T2 + 2404*T1*T2 - 2154*T1^2*T2 + 711*T1^3*T2 + 
     711*T1^4*T2 - 2154*T1^5*T2 + 2404*T1^6*T2 - 1225*T1^7*T2 + 1950*T2^2 - 
     2154*T1*T2^2 + 226*T1^2*T2^2 + 1492*T1^3*T2^2 - 1460*T1^4*T2^2 + 
     1492*T1^5*T2^2 + 226*T1^6*T2^2 - 2154*T1^7*T2^2 + 1950*T1^8*T2^2 - 
     2189*T2^3 + 711*T1*T2^3 + 1492*T1^2*T2^3 - 1582*T1^3*T2^3 - 
     26*T1^4*T2^3 - 26*T1^5*T2^3 - 1582*T1^6*T2^3 + 1492*T1^7*T2^3 + 
     711*T1^8*T2^3 - 2189*T1^9*T2^3 + 1950*T2^4 + 711*T1*T2^4 - 
     1460*T1^2*T2^4 - 26*T1^3*T2^4 + 1633*T1^4*T2^4 - 621*T1^5*T2^4 + 
     1633*T1^6*T2^4 - 26*T1^7*T2^4 - 1460*T1^8*T2^4 + 711*T1^9*T2^4 + 
     1950*T1^10*T2^4 - 1225*T2^5 - 2154*T1*T2^5 + 1492*T1^2*T2^5 - 
     26*T1^3*T2^5 - 621*T1^4*T2^5 - 668*T1^5*T2^5 - 668*T1^6*T2^5 - 
     621*T1^7*T2^5 - 26*T1^8*T2^5 + 1492*T1^9*T2^5 - 2154*T1^10*T2^5 - 
     1225*T1^11*T2^5 + 415*T2^6 + 2404*T1*T2^6 + 226*T1^2*T2^6 - 
     1582*T1^3*T2^6 + 1633*T1^4*T2^6 - 668*T1^5*T2^6 + 2076*T1^6*T2^6 - 
     668*T1^7*T2^6 + 1633*T1^8*T2^6 - 1582*T1^9*T2^6 + 226*T1^10*T2^6 + 
     2404*T1^11*T2^6 + 415*T1^12*T2^6 - 1225*T1*T2^7 - 2154*T1^2*T2^7 + 
     1492*T1^3*T2^7 - 26*T1^4*T2^7 - 621*T1^5*T2^7 - 668*T1^6*T2^7 - 
     668*T1^7*T2^7 - 621*T1^8*T2^7 - 26*T1^9*T2^7 + 1492*T1^10*T2^7 - 
     2154*T1^11*T2^7 - 1225*T1^12*T2^7 + 1950*T1^2*T2^8 + 711*T1^3*T2^8 - 
     1460*T1^4*T2^8 - 26*T1^5*T2^8 + 1633*T1^6*T2^8 - 621*T1^7*T2^8 + 
     1633*T1^8*T2^8 - 26*T1^9*T2^8 - 1460*T1^10*T2^8 + 711*T1^11*T2^8 + 
     1950*T1^12*T2^8 - 2189*T1^3*T2^9 + 711*T1^4*T2^9 + 1492*T1^5*T2^9 - 
     1582*T1^6*T2^9 - 26*T1^7*T2^9 - 26*T1^8*T2^9 - 1582*T1^9*T2^9 + 
     1492*T1^10*T2^9 + 711*T1^11*T2^9 - 2189*T1^12*T2^9 + 1950*T1^4*T2^10 - 
     2154*T1^5*T2^10 + 226*T1^6*T2^10 + 1492*T1^7*T2^10 - 1460*T1^8*T2^10 + 
     1492*T1^9*T2^10 + 226*T1^10*T2^10 - 2154*T1^11*T2^10 + 
     1950*T1^12*T2^10 - 1225*T1^5*T2^11 + 2404*T1^6*T2^11 - 2154*T1^7*T2^11 + 
     711*T1^8*T2^11 + 711*T1^9*T2^11 - 2154*T1^10*T2^11 + 2404*T1^11*T2^11 - 
     1225*T1^12*T2^11 + 415*T1^6*T2^12 - 1225*T1^7*T2^12 + 1950*T1^8*T2^12 - 
     2189*T1^9*T2^12 + 1950*T1^10*T2^12 - 1225*T1^11*T2^12 + 415*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 97] -> 
  {(10 - 32*T + 45*T^2 - 32*T^3 + 10*T^4)/T^2, 
   (2445 - 7679*T1 + 10757*T1^2 - 7679*T1^3 + 2445*T1^4 - 7679*T2 + 
     16514*T1*T2 - 9726*T1^2*T2 - 9726*T1^3*T2 + 16514*T1^4*T2 - 
     7679*T1^5*T2 + 10757*T2^2 - 9726*T1*T2^2 - 18458*T1^2*T2^2 + 
     40024*T1^3*T2^2 - 18458*T1^4*T2^2 - 9726*T1^5*T2^2 + 10757*T1^6*T2^2 - 
     7679*T2^3 - 9726*T1*T2^3 + 40024*T1^2*T2^3 - 27232*T1^3*T2^3 - 
     27232*T1^4*T2^3 + 40024*T1^5*T2^3 - 9726*T1^6*T2^3 - 7679*T1^7*T2^3 + 
     2445*T2^4 + 16514*T1*T2^4 - 18458*T1^2*T2^4 - 27232*T1^3*T2^4 + 
     64560*T1^4*T2^4 - 27232*T1^5*T2^4 - 18458*T1^6*T2^4 + 16514*T1^7*T2^4 + 
     2445*T1^8*T2^4 - 7679*T1*T2^5 - 9726*T1^2*T2^5 + 40024*T1^3*T2^5 - 
     27232*T1^4*T2^5 - 27232*T1^5*T2^5 + 40024*T1^6*T2^5 - 9726*T1^7*T2^5 - 
     7679*T1^8*T2^5 + 10757*T1^2*T2^6 - 9726*T1^3*T2^6 - 18458*T1^4*T2^6 + 
     40024*T1^5*T2^6 - 18458*T1^6*T2^6 - 9726*T1^7*T2^6 + 10757*T1^8*T2^6 - 
     7679*T1^3*T2^7 + 16514*T1^4*T2^7 - 9726*T1^5*T2^7 - 9726*T1^6*T2^7 + 
     16514*T1^7*T2^7 - 7679*T1^8*T2^7 + 2445*T1^4*T2^8 - 7679*T1^5*T2^8 + 
     10757*T1^6*T2^8 - 7679*T1^7*T2^8 + 2445*T1^8*T2^8)/(T1^4*T2^4)}, 
 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), -((1 - 7*T1 + 22*T1^2 - 41*T1^3 + 49*T1^4 - 41*T1^5 + 22*T1^6 - 
      7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 105*T1^2*T2 + 133*T1^3*T2 - 
      56*T1^4*T2 - 56*T1^5*T2 + 133*T1^6*T2 - 105*T1^7*T2 + 42*T1^8*T2 - 
      7*T1^9*T2 + 22*T2^2 - 105*T1*T2^2 + 164*T1^2*T2^2 + 19*T1^3*T2^2 - 
      443*T1^4*T2^2 + 596*T1^5*T2^2 - 443*T1^6*T2^2 + 19*T1^7*T2^2 + 
      164*T1^8*T2^2 - 105*T1^9*T2^2 + 22*T1^10*T2^2 - 41*T2^3 + 133*T1*T2^3 + 
      19*T1^2*T2^3 - 670*T1^3*T2^3 + 1215*T1^4*T2^3 - 479*T1^5*T2^3 - 
      479*T1^6*T2^3 + 1215*T1^7*T2^3 - 670*T1^8*T2^3 + 19*T1^9*T2^3 + 
      133*T1^10*T2^3 - 41*T1^11*T2^3 + 49*T2^4 - 56*T1*T2^4 - 443*T1^2*T2^4 + 
      1215*T1^3*T2^4 - 665*T1^4*T2^4 - 1911*T1^5*T2^4 + 2663*T1^6*T2^4 - 
      1911*T1^7*T2^4 - 665*T1^8*T2^4 + 1215*T1^9*T2^4 - 443*T1^10*T2^4 - 
      56*T1^11*T2^4 + 49*T1^12*T2^4 - 41*T2^5 - 56*T1*T2^5 + 596*T1^2*T2^5 - 
      479*T1^3*T2^5 - 1911*T1^4*T2^5 + 4626*T1^5*T2^5 - 1775*T1^6*T2^5 - 
      1775*T1^7*T2^5 + 4626*T1^8*T2^5 - 1911*T1^9*T2^5 - 479*T1^10*T2^5 + 
      596*T1^11*T2^5 - 56*T1^12*T2^5 - 41*T1^13*T2^5 + 22*T2^6 + 
      133*T1*T2^6 - 443*T1^2*T2^6 - 479*T1^3*T2^6 + 2663*T1^4*T2^6 - 
      1775*T1^5*T2^6 - 5322*T1^6*T2^6 + 7404*T1^7*T2^6 - 5322*T1^8*T2^6 - 
      1775*T1^9*T2^6 + 2663*T1^10*T2^6 - 479*T1^11*T2^6 - 443*T1^12*T2^6 + 
      133*T1^13*T2^6 + 22*T1^14*T2^6 - 7*T2^7 - 105*T1*T2^7 + 19*T1^2*T2^7 + 
      1215*T1^3*T2^7 - 1911*T1^4*T2^7 - 1775*T1^5*T2^7 + 7404*T1^6*T2^7 - 
      2928*T1^7*T2^7 - 2928*T1^8*T2^7 + 7404*T1^9*T2^7 - 1775*T1^10*T2^7 - 
      1911*T1^11*T2^7 + 1215*T1^12*T2^7 + 19*T1^13*T2^7 - 105*T1^14*T2^7 - 
      7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 164*T1^2*T2^8 - 670*T1^3*T2^8 - 
      665*T1^4*T2^8 + 4626*T1^5*T2^8 - 5322*T1^6*T2^8 - 2928*T1^7*T2^8 + 
      5376*T1^8*T2^8 - 2928*T1^9*T2^8 - 5322*T1^10*T2^8 + 4626*T1^11*T2^8 - 
      665*T1^12*T2^8 - 670*T1^13*T2^8 + 164*T1^14*T2^8 + 42*T1^15*T2^8 + 
      T1^16*T2^8 - 7*T1*T2^9 - 105*T1^2*T2^9 + 19*T1^3*T2^9 + 
      1215*T1^4*T2^9 - 1911*T1^5*T2^9 - 1775*T1^6*T2^9 + 7404*T1^7*T2^9 - 
      2928*T1^8*T2^9 - 2928*T1^9*T2^9 + 7404*T1^10*T2^9 - 1775*T1^11*T2^9 - 
      1911*T1^12*T2^9 + 1215*T1^13*T2^9 + 19*T1^14*T2^9 - 105*T1^15*T2^9 - 
      7*T1^16*T2^9 + 22*T1^2*T2^10 + 133*T1^3*T2^10 - 443*T1^4*T2^10 - 
      479*T1^5*T2^10 + 2663*T1^6*T2^10 - 1775*T1^7*T2^10 - 5322*T1^8*T2^10 + 
      7404*T1^9*T2^10 - 5322*T1^10*T2^10 - 1775*T1^11*T2^10 + 
      2663*T1^12*T2^10 - 479*T1^13*T2^10 - 443*T1^14*T2^10 + 
      133*T1^15*T2^10 + 22*T1^16*T2^10 - 41*T1^3*T2^11 - 56*T1^4*T2^11 + 
      596*T1^5*T2^11 - 479*T1^6*T2^11 - 1911*T1^7*T2^11 + 4626*T1^8*T2^11 - 
      1775*T1^9*T2^11 - 1775*T1^10*T2^11 + 4626*T1^11*T2^11 - 
      1911*T1^12*T2^11 - 479*T1^13*T2^11 + 596*T1^14*T2^11 - 56*T1^15*T2^11 - 
      41*T1^16*T2^11 + 49*T1^4*T2^12 - 56*T1^5*T2^12 - 443*T1^6*T2^12 + 
      1215*T1^7*T2^12 - 665*T1^8*T2^12 - 1911*T1^9*T2^12 + 2663*T1^10*T2^12 - 
      1911*T1^11*T2^12 - 665*T1^12*T2^12 + 1215*T1^13*T2^12 - 
      443*T1^14*T2^12 - 56*T1^15*T2^12 + 49*T1^16*T2^12 - 41*T1^5*T2^13 + 
      133*T1^6*T2^13 + 19*T1^7*T2^13 - 670*T1^8*T2^13 + 1215*T1^9*T2^13 - 
      479*T1^10*T2^13 - 479*T1^11*T2^13 + 1215*T1^12*T2^13 - 
      670*T1^13*T2^13 + 19*T1^14*T2^13 + 133*T1^15*T2^13 - 41*T1^16*T2^13 + 
      22*T1^6*T2^14 - 105*T1^7*T2^14 + 164*T1^8*T2^14 + 19*T1^9*T2^14 - 
      443*T1^10*T2^14 + 596*T1^11*T2^14 - 443*T1^12*T2^14 + 19*T1^13*T2^14 + 
      164*T1^14*T2^14 - 105*T1^15*T2^14 + 22*T1^16*T2^14 - 7*T1^7*T2^15 + 
      42*T1^8*T2^15 - 105*T1^9*T2^15 + 133*T1^10*T2^15 - 56*T1^11*T2^15 - 
      56*T1^12*T2^15 + 133*T1^13*T2^15 - 105*T1^14*T2^15 + 42*T1^15*T2^15 - 
      7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 22*T1^10*T2^16 - 
      41*T1^11*T2^16 + 49*T1^12*T2^16 - 41*T1^13*T2^16 + 22*T1^14*T2^16 - 
      7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   (1 - 7*T1 + 16*T1^2 - 21*T1^3 + 16*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
     36*T1*T2 - 55*T1^2*T2 + 30*T1^3*T2 + 30*T1^4*T2 - 55*T1^5*T2 + 
     36*T1^6*T2 - 7*T1^7*T2 + 16*T2^2 - 55*T1*T2^2 - 4*T1^2*T2^2 + 
     158*T1^3*T2^2 - 264*T1^4*T2^2 + 158*T1^5*T2^2 - 4*T1^6*T2^2 - 
     55*T1^7*T2^2 + 16*T1^8*T2^2 - 21*T2^3 + 30*T1*T2^3 + 158*T1^2*T2^3 - 
     314*T1^3*T2^3 + 196*T1^4*T2^3 + 196*T1^5*T2^3 - 314*T1^6*T2^3 + 
     158*T1^7*T2^3 + 30*T1^8*T2^3 - 21*T1^9*T2^3 + 16*T2^4 + 30*T1*T2^4 - 
     264*T1^2*T2^4 + 196*T1^3*T2^4 + 162*T1^4*T2^4 - 488*T1^5*T2^4 + 
     162*T1^6*T2^4 + 196*T1^7*T2^4 - 264*T1^8*T2^4 + 30*T1^9*T2^4 + 
     16*T1^10*T2^4 - 7*T2^5 - 55*T1*T2^5 + 158*T1^2*T2^5 + 196*T1^3*T2^5 - 
     488*T1^4*T2^5 + 360*T1^5*T2^5 + 360*T1^6*T2^5 - 488*T1^7*T2^5 + 
     196*T1^8*T2^5 + 158*T1^9*T2^5 - 55*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
     36*T1*T2^6 - 4*T1^2*T2^6 - 314*T1^3*T2^6 + 162*T1^4*T2^6 + 
     360*T1^5*T2^6 - 864*T1^6*T2^6 + 360*T1^7*T2^6 + 162*T1^8*T2^6 - 
     314*T1^9*T2^6 - 4*T1^10*T2^6 + 36*T1^11*T2^6 + T1^12*T2^6 - 7*T1*T2^7 - 
     55*T1^2*T2^7 + 158*T1^3*T2^7 + 196*T1^4*T2^7 - 488*T1^5*T2^7 + 
     360*T1^6*T2^7 + 360*T1^7*T2^7 - 488*T1^8*T2^7 + 196*T1^9*T2^7 + 
     158*T1^10*T2^7 - 55*T1^11*T2^7 - 7*T1^12*T2^7 + 16*T1^2*T2^8 + 
     30*T1^3*T2^8 - 264*T1^4*T2^8 + 196*T1^5*T2^8 + 162*T1^6*T2^8 - 
     488*T1^7*T2^8 + 162*T1^8*T2^8 + 196*T1^9*T2^8 - 264*T1^10*T2^8 + 
     30*T1^11*T2^8 + 16*T1^12*T2^8 - 21*T1^3*T2^9 + 30*T1^4*T2^9 + 
     158*T1^5*T2^9 - 314*T1^6*T2^9 + 196*T1^7*T2^9 + 196*T1^8*T2^9 - 
     314*T1^9*T2^9 + 158*T1^10*T2^9 + 30*T1^11*T2^9 - 21*T1^12*T2^9 + 
     16*T1^4*T2^10 - 55*T1^5*T2^10 - 4*T1^6*T2^10 + 158*T1^7*T2^10 - 
     264*T1^8*T2^10 + 158*T1^9*T2^10 - 4*T1^10*T2^10 - 55*T1^11*T2^10 + 
     16*T1^12*T2^10 - 7*T1^5*T2^11 + 36*T1^6*T2^11 - 55*T1^7*T2^11 + 
     30*T1^8*T2^11 + 30*T1^9*T2^11 - 55*T1^10*T2^11 + 36*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)/
    (T1^6*T2^6)}, Knot[12, Alternating, 100] -> 
  {-(((-3 + 6*T - 5*T^2 + T^3)*(-1 + 5*T - 6*T^2 + 3*T^3))/T^3), 
   (3 - 21*T1 + 50*T1^2 - 67*T1^3 + 50*T1^4 - 21*T1^5 + 3*T1^6 - 21*T2 + 
     124*T1*T2 - 200*T1^2*T2 + 116*T1^3*T2 + 116*T1^4*T2 - 200*T1^5*T2 + 
     124*T1^6*T2 - 21*T1^7*T2 + 50*T2^2 - 200*T1*T2^2 - 189*T1^2*T2^2 + 
     1147*T1^3*T2^2 - 1843*T1^4*T2^2 + 1147*T1^5*T2^2 - 189*T1^6*T2^2 - 
     200*T1^7*T2^2 + 50*T1^8*T2^2 - 67*T2^3 + 116*T1*T2^3 + 1147*T1^2*T2^3 - 
     2336*T1^3*T2^3 + 1556*T1^4*T2^3 + 1556*T1^5*T2^3 - 2336*T1^6*T2^3 + 
     1147*T1^7*T2^3 + 116*T1^8*T2^3 - 67*T1^9*T2^3 + 50*T2^4 + 116*T1*T2^4 - 
     1843*T1^2*T2^4 + 1556*T1^3*T2^4 + 1164*T1^4*T2^4 - 4132*T1^5*T2^4 + 
     1164*T1^6*T2^4 + 1556*T1^7*T2^4 - 1843*T1^8*T2^4 + 116*T1^9*T2^4 + 
     50*T1^10*T2^4 - 21*T2^5 - 200*T1*T2^5 + 1147*T1^2*T2^5 + 
     1556*T1^3*T2^5 - 4132*T1^4*T2^5 + 3390*T1^5*T2^5 + 3390*T1^6*T2^5 - 
     4132*T1^7*T2^5 + 1556*T1^8*T2^5 + 1147*T1^9*T2^5 - 200*T1^10*T2^5 - 
     21*T1^11*T2^5 + 3*T2^6 + 124*T1*T2^6 - 189*T1^2*T2^6 - 2336*T1^3*T2^6 + 
     1164*T1^4*T2^6 + 3390*T1^5*T2^6 - 8460*T1^6*T2^6 + 3390*T1^7*T2^6 + 
     1164*T1^8*T2^6 - 2336*T1^9*T2^6 - 189*T1^10*T2^6 + 124*T1^11*T2^6 + 
     3*T1^12*T2^6 - 21*T1*T2^7 - 200*T1^2*T2^7 + 1147*T1^3*T2^7 + 
     1556*T1^4*T2^7 - 4132*T1^5*T2^7 + 3390*T1^6*T2^7 + 3390*T1^7*T2^7 - 
     4132*T1^8*T2^7 + 1556*T1^9*T2^7 + 1147*T1^10*T2^7 - 200*T1^11*T2^7 - 
     21*T1^12*T2^7 + 50*T1^2*T2^8 + 116*T1^3*T2^8 - 1843*T1^4*T2^8 + 
     1556*T1^5*T2^8 + 1164*T1^6*T2^8 - 4132*T1^7*T2^8 + 1164*T1^8*T2^8 + 
     1556*T1^9*T2^8 - 1843*T1^10*T2^8 + 116*T1^11*T2^8 + 50*T1^12*T2^8 - 
     67*T1^3*T2^9 + 116*T1^4*T2^9 + 1147*T1^5*T2^9 - 2336*T1^6*T2^9 + 
     1556*T1^7*T2^9 + 1556*T1^8*T2^9 - 2336*T1^9*T2^9 + 1147*T1^10*T2^9 + 
     116*T1^11*T2^9 - 67*T1^12*T2^9 + 50*T1^4*T2^10 - 200*T1^5*T2^10 - 
     189*T1^6*T2^10 + 1147*T1^7*T2^10 - 1843*T1^8*T2^10 + 1147*T1^9*T2^10 - 
     189*T1^10*T2^10 - 200*T1^11*T2^10 + 50*T1^12*T2^10 - 21*T1^5*T2^11 + 
     124*T1^6*T2^11 - 200*T1^7*T2^11 + 116*T1^8*T2^11 + 116*T1^9*T2^11 - 
     200*T1^10*T2^11 + 124*T1^11*T2^11 - 21*T1^12*T2^11 + 3*T1^6*T2^12 - 
     21*T1^7*T2^12 + 50*T1^8*T2^12 - 67*T1^9*T2^12 + 50*T1^10*T2^12 - 
     21*T1^11*T2^12 + 3*T1^12*T2^12)/(T1^6*T2^6)}, 
 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, 
   (10*T1 - 20*T1^2 + 26*T1^3 - 20*T1^4 + 10*T1^5 + 10*T2 - 82*T1*T2 + 
     101*T1^2*T2 - 58*T1^3*T2 - 58*T1^4*T2 + 101*T1^5*T2 - 82*T1^6*T2 + 
     10*T1^7*T2 - 20*T2^2 + 101*T1*T2^2 + 213*T1^2*T2^2 - 624*T1^3*T2^2 + 
     945*T1^4*T2^2 - 624*T1^5*T2^2 + 213*T1^6*T2^2 + 101*T1^7*T2^2 - 
     20*T1^8*T2^2 + 26*T2^3 - 58*T1*T2^3 - 624*T1^2*T2^3 + 782*T1^3*T2^3 - 
     577*T1^4*T2^3 - 577*T1^5*T2^3 + 782*T1^6*T2^3 - 624*T1^7*T2^3 - 
     58*T1^8*T2^3 + 26*T1^9*T2^3 - 20*T2^4 - 58*T1*T2^4 + 945*T1^2*T2^4 - 
     577*T1^3*T2^4 + 511*T1^4*T2^4 + 387*T1^5*T2^4 + 511*T1^6*T2^4 - 
     577*T1^7*T2^4 + 945*T1^8*T2^4 - 58*T1^9*T2^4 - 20*T1^10*T2^4 + 10*T2^5 + 
     101*T1*T2^5 - 624*T1^2*T2^5 - 577*T1^3*T2^5 + 387*T1^4*T2^5 - 
     878*T1^5*T2^5 - 878*T1^6*T2^5 + 387*T1^7*T2^5 - 577*T1^8*T2^5 - 
     624*T1^9*T2^5 + 101*T1^10*T2^5 + 10*T1^11*T2^5 - 82*T1*T2^6 + 
     213*T1^2*T2^6 + 782*T1^3*T2^6 + 511*T1^4*T2^6 - 878*T1^5*T2^6 + 
     2592*T1^6*T2^6 - 878*T1^7*T2^6 + 511*T1^8*T2^6 + 782*T1^9*T2^6 + 
     213*T1^10*T2^6 - 82*T1^11*T2^6 + 10*T1*T2^7 + 101*T1^2*T2^7 - 
     624*T1^3*T2^7 - 577*T1^4*T2^7 + 387*T1^5*T2^7 - 878*T1^6*T2^7 - 
     878*T1^7*T2^7 + 387*T1^8*T2^7 - 577*T1^9*T2^7 - 624*T1^10*T2^7 + 
     101*T1^11*T2^7 + 10*T1^12*T2^7 - 20*T1^2*T2^8 - 58*T1^3*T2^8 + 
     945*T1^4*T2^8 - 577*T1^5*T2^8 + 511*T1^6*T2^8 + 387*T1^7*T2^8 + 
     511*T1^8*T2^8 - 577*T1^9*T2^8 + 945*T1^10*T2^8 - 58*T1^11*T2^8 - 
     20*T1^12*T2^8 + 26*T1^3*T2^9 - 58*T1^4*T2^9 - 624*T1^5*T2^9 + 
     782*T1^6*T2^9 - 577*T1^7*T2^9 - 577*T1^8*T2^9 + 782*T1^9*T2^9 - 
     624*T1^10*T2^9 - 58*T1^11*T2^9 + 26*T1^12*T2^9 - 20*T1^4*T2^10 + 
     101*T1^5*T2^10 + 213*T1^6*T2^10 - 624*T1^7*T2^10 + 945*T1^8*T2^10 - 
     624*T1^9*T2^10 + 213*T1^10*T2^10 + 101*T1^11*T2^10 - 20*T1^12*T2^10 + 
     10*T1^5*T2^11 - 82*T1^6*T2^11 + 101*T1^7*T2^11 - 58*T1^8*T2^11 - 
     58*T1^9*T2^11 + 101*T1^10*T2^11 - 82*T1^11*T2^11 + 10*T1^12*T2^11 + 
     10*T1^7*T2^12 - 20*T1^8*T2^12 + 26*T1^9*T2^12 - 20*T1^10*T2^12 + 
     10*T1^11*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 102] -> 
  {(7 - 27*T + 53*T^2 - 65*T^3 + 53*T^4 - 27*T^5 + 7*T^6)/T^3, 
   (1078 - 4062*T1 + 7876*T1^2 - 9610*T1^3 + 7876*T1^4 - 4062*T1^5 + 
     1078*T1^6 - 4062*T2 + 11336*T1*T2 - 14564*T1^2*T2 + 6649*T1^3*T2 + 
     6649*T1^4*T2 - 14564*T1^5*T2 + 11336*T1^6*T2 - 4062*T1^7*T2 + 
     7876*T2^2 - 14564*T1*T2^2 + 7263*T1^2*T2^2 + 14139*T1^3*T2^2 - 
     24675*T1^4*T2^2 + 14139*T1^5*T2^2 + 7263*T1^6*T2^2 - 14564*T1^7*T2^2 + 
     7876*T1^8*T2^2 - 9610*T2^3 + 6649*T1*T2^3 + 14139*T1^2*T2^3 - 
     33488*T1^3*T2^3 + 16476*T1^4*T2^3 + 16476*T1^5*T2^3 - 33488*T1^6*T2^3 + 
     14139*T1^7*T2^3 + 6649*T1^8*T2^3 - 9610*T1^9*T2^3 + 7876*T2^4 + 
     6649*T1*T2^4 - 24675*T1^2*T2^4 + 16476*T1^3*T2^4 + 30261*T1^4*T2^4 - 
     52079*T1^5*T2^4 + 30261*T1^6*T2^4 + 16476*T1^7*T2^4 - 24675*T1^8*T2^4 + 
     6649*T1^9*T2^4 + 7876*T1^10*T2^4 - 4062*T2^5 - 14564*T1*T2^5 + 
     14139*T1^2*T2^5 + 16476*T1^3*T2^5 - 52079*T1^4*T2^5 + 25294*T1^5*T2^5 + 
     25294*T1^6*T2^5 - 52079*T1^7*T2^5 + 16476*T1^8*T2^5 + 14139*T1^9*T2^5 - 
     14564*T1^10*T2^5 - 4062*T1^11*T2^5 + 1078*T2^6 + 11336*T1*T2^6 + 
     7263*T1^2*T2^6 - 33488*T1^3*T2^6 + 30261*T1^4*T2^6 + 25294*T1^5*T2^6 - 
     50448*T1^6*T2^6 + 25294*T1^7*T2^6 + 30261*T1^8*T2^6 - 33488*T1^9*T2^6 + 
     7263*T1^10*T2^6 + 11336*T1^11*T2^6 + 1078*T1^12*T2^6 - 4062*T1*T2^7 - 
     14564*T1^2*T2^7 + 14139*T1^3*T2^7 + 16476*T1^4*T2^7 - 52079*T1^5*T2^7 + 
     25294*T1^6*T2^7 + 25294*T1^7*T2^7 - 52079*T1^8*T2^7 + 16476*T1^9*T2^7 + 
     14139*T1^10*T2^7 - 14564*T1^11*T2^7 - 4062*T1^12*T2^7 + 7876*T1^2*T2^8 + 
     6649*T1^3*T2^8 - 24675*T1^4*T2^8 + 16476*T1^5*T2^8 + 30261*T1^6*T2^8 - 
     52079*T1^7*T2^8 + 30261*T1^8*T2^8 + 16476*T1^9*T2^8 - 24675*T1^10*T2^8 + 
     6649*T1^11*T2^8 + 7876*T1^12*T2^8 - 9610*T1^3*T2^9 + 6649*T1^4*T2^9 + 
     14139*T1^5*T2^9 - 33488*T1^6*T2^9 + 16476*T1^7*T2^9 + 16476*T1^8*T2^9 - 
     33488*T1^9*T2^9 + 14139*T1^10*T2^9 + 6649*T1^11*T2^9 - 9610*T1^12*T2^9 + 
     7876*T1^4*T2^10 - 14564*T1^5*T2^10 + 7263*T1^6*T2^10 + 
     14139*T1^7*T2^10 - 24675*T1^8*T2^10 + 14139*T1^9*T2^10 + 
     7263*T1^10*T2^10 - 14564*T1^11*T2^10 + 7876*T1^12*T2^10 - 
     4062*T1^5*T2^11 + 11336*T1^6*T2^11 - 14564*T1^7*T2^11 + 
     6649*T1^8*T2^11 + 6649*T1^9*T2^11 - 14564*T1^10*T2^11 + 
     11336*T1^11*T2^11 - 4062*T1^12*T2^11 + 1078*T1^6*T2^12 - 
     4062*T1^7*T2^12 + 7876*T1^8*T2^12 - 9610*T1^9*T2^12 + 7876*T1^10*T2^12 - 
     4062*T1^11*T2^12 + 1078*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 103] -> 
  {(3 - 20*T + 52*T^2 - 69*T^3 + 52*T^4 - 20*T^5 + 3*T^6)/T^3, 
   (30 - 196*T1 + 504*T1^2 - 664*T1^3 + 504*T1^4 - 196*T1^5 + 30*T1^6 - 
     196*T2 + 1088*T1*T2 - 2023*T1^2*T2 + 1054*T1^3*T2 + 1054*T1^4*T2 - 
     2023*T1^5*T2 + 1088*T1^6*T2 - 196*T1^7*T2 + 504*T2^2 - 2023*T1*T2^2 + 
     608*T1^2*T2^2 + 7165*T1^3*T2^2 - 11644*T1^4*T2^2 + 7165*T1^5*T2^2 + 
     608*T1^6*T2^2 - 2023*T1^7*T2^2 + 504*T1^8*T2^2 - 664*T2^3 + 
     1054*T1*T2^3 + 7165*T1^2*T2^3 - 20206*T1^3*T2^3 + 11232*T1^4*T2^3 + 
     11232*T1^5*T2^3 - 20206*T1^6*T2^3 + 7165*T1^7*T2^3 + 1054*T1^8*T2^3 - 
     664*T1^9*T2^3 + 504*T2^4 + 1054*T1*T2^4 - 11644*T1^2*T2^4 + 
     11232*T1^3*T2^4 + 27350*T1^4*T2^4 - 50816*T1^5*T2^4 + 27350*T1^6*T2^4 + 
     11232*T1^7*T2^4 - 11644*T1^8*T2^4 + 1054*T1^9*T2^4 + 504*T1^10*T2^4 - 
     196*T2^5 - 2023*T1*T2^5 + 7165*T1^2*T2^5 + 11232*T1^3*T2^5 - 
     50816*T1^4*T2^5 + 29856*T1^5*T2^5 + 29856*T1^6*T2^5 - 50816*T1^7*T2^5 + 
     11232*T1^8*T2^5 + 7165*T1^9*T2^5 - 2023*T1^10*T2^5 - 196*T1^11*T2^5 + 
     30*T2^6 + 1088*T1*T2^6 + 608*T1^2*T2^6 - 20206*T1^3*T2^6 + 
     27350*T1^4*T2^6 + 29856*T1^5*T2^6 - 66444*T1^6*T2^6 + 29856*T1^7*T2^6 + 
     27350*T1^8*T2^6 - 20206*T1^9*T2^6 + 608*T1^10*T2^6 + 1088*T1^11*T2^6 + 
     30*T1^12*T2^6 - 196*T1*T2^7 - 2023*T1^2*T2^7 + 7165*T1^3*T2^7 + 
     11232*T1^4*T2^7 - 50816*T1^5*T2^7 + 29856*T1^6*T2^7 + 29856*T1^7*T2^7 - 
     50816*T1^8*T2^7 + 11232*T1^9*T2^7 + 7165*T1^10*T2^7 - 2023*T1^11*T2^7 - 
     196*T1^12*T2^7 + 504*T1^2*T2^8 + 1054*T1^3*T2^8 - 11644*T1^4*T2^8 + 
     11232*T1^5*T2^8 + 27350*T1^6*T2^8 - 50816*T1^7*T2^8 + 27350*T1^8*T2^8 + 
     11232*T1^9*T2^8 - 11644*T1^10*T2^8 + 1054*T1^11*T2^8 + 504*T1^12*T2^8 - 
     664*T1^3*T2^9 + 1054*T1^4*T2^9 + 7165*T1^5*T2^9 - 20206*T1^6*T2^9 + 
     11232*T1^7*T2^9 + 11232*T1^8*T2^9 - 20206*T1^9*T2^9 + 7165*T1^10*T2^9 + 
     1054*T1^11*T2^9 - 664*T1^12*T2^9 + 504*T1^4*T2^10 - 2023*T1^5*T2^10 + 
     608*T1^6*T2^10 + 7165*T1^7*T2^10 - 11644*T1^8*T2^10 + 7165*T1^9*T2^10 + 
     608*T1^10*T2^10 - 2023*T1^11*T2^10 + 504*T1^12*T2^10 - 196*T1^5*T2^11 + 
     1088*T1^6*T2^11 - 2023*T1^7*T2^11 + 1054*T1^8*T2^11 + 1054*T1^9*T2^11 - 
     2023*T1^10*T2^11 + 1088*T1^11*T2^11 - 196*T1^12*T2^11 + 30*T1^6*T2^12 - 
     196*T1^7*T2^12 + 504*T1^8*T2^12 - 664*T1^9*T2^12 + 504*T1^10*T2^12 - 
     196*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 104] -> 
  {(4 - 17*T + 37*T^2 - 47*T^3 + 37*T^4 - 17*T^5 + 4*T^6)/T^3, 
   -((80 - 332*T1 + 720*T1^2 - 912*T1^3 + 720*T1^4 - 332*T1^5 + 80*T1^6 - 
      332*T2 + 1050*T1*T2 - 1618*T1^2*T2 + 802*T1^3*T2 + 802*T1^4*T2 - 
      1618*T1^5*T2 + 1050*T1^6*T2 - 332*T1^7*T2 + 720*T2^2 - 1618*T1*T2^2 + 
      1499*T1^2*T2^2 + 1185*T1^3*T2^2 - 2747*T1^4*T2^2 + 1185*T1^5*T2^2 + 
      1499*T1^6*T2^2 - 1618*T1^7*T2^2 + 720*T1^8*T2^2 - 912*T2^3 + 
      802*T1*T2^3 + 1185*T1^2*T2^3 - 4994*T1^3*T2^3 + 2783*T1^4*T2^3 + 
      2783*T1^5*T2^3 - 4994*T1^6*T2^3 + 1185*T1^7*T2^3 + 802*T1^8*T2^3 - 
      912*T1^9*T2^3 + 720*T2^4 + 802*T1*T2^4 - 2747*T1^2*T2^4 + 
      2783*T1^3*T2^4 + 6586*T1^4*T2^4 - 11798*T1^5*T2^4 + 6586*T1^6*T2^4 + 
      2783*T1^7*T2^4 - 2747*T1^8*T2^4 + 802*T1^9*T2^4 + 720*T1^10*T2^4 - 
      332*T2^5 - 1618*T1*T2^5 + 1185*T1^2*T2^5 + 2783*T1^3*T2^5 - 
      11798*T1^4*T2^5 + 6450*T1^5*T2^5 + 6450*T1^6*T2^5 - 11798*T1^7*T2^5 + 
      2783*T1^8*T2^5 + 1185*T1^9*T2^5 - 1618*T1^10*T2^5 - 332*T1^11*T2^5 + 
      80*T2^6 + 1050*T1*T2^6 + 1499*T1^2*T2^6 - 4994*T1^3*T2^6 + 
      6586*T1^4*T2^6 + 6450*T1^5*T2^6 - 13764*T1^6*T2^6 + 6450*T1^7*T2^6 + 
      6586*T1^8*T2^6 - 4994*T1^9*T2^6 + 1499*T1^10*T2^6 + 1050*T1^11*T2^6 + 
      80*T1^12*T2^6 - 332*T1*T2^7 - 1618*T1^2*T2^7 + 1185*T1^3*T2^7 + 
      2783*T1^4*T2^7 - 11798*T1^5*T2^7 + 6450*T1^6*T2^7 + 6450*T1^7*T2^7 - 
      11798*T1^8*T2^7 + 2783*T1^9*T2^7 + 1185*T1^10*T2^7 - 1618*T1^11*T2^7 - 
      332*T1^12*T2^7 + 720*T1^2*T2^8 + 802*T1^3*T2^8 - 2747*T1^4*T2^8 + 
      2783*T1^5*T2^8 + 6586*T1^6*T2^8 - 11798*T1^7*T2^8 + 6586*T1^8*T2^8 + 
      2783*T1^9*T2^8 - 2747*T1^10*T2^8 + 802*T1^11*T2^8 + 720*T1^12*T2^8 - 
      912*T1^3*T2^9 + 802*T1^4*T2^9 + 1185*T1^5*T2^9 - 4994*T1^6*T2^9 + 
      2783*T1^7*T2^9 + 2783*T1^8*T2^9 - 4994*T1^9*T2^9 + 1185*T1^10*T2^9 + 
      802*T1^11*T2^9 - 912*T1^12*T2^9 + 720*T1^4*T2^10 - 1618*T1^5*T2^10 + 
      1499*T1^6*T2^10 + 1185*T1^7*T2^10 - 2747*T1^8*T2^10 + 1185*T1^9*T2^10 + 
      1499*T1^10*T2^10 - 1618*T1^11*T2^10 + 720*T1^12*T2^10 - 
      332*T1^5*T2^11 + 1050*T1^6*T2^11 - 1618*T1^7*T2^11 + 802*T1^8*T2^11 + 
      802*T1^9*T2^11 - 1618*T1^10*T2^11 + 1050*T1^11*T2^11 - 
      332*T1^12*T2^11 + 80*T1^6*T2^12 - 332*T1^7*T2^12 + 720*T1^8*T2^12 - 
      912*T1^9*T2^12 + 720*T1^10*T2^12 - 332*T1^11*T2^12 + 80*T1^12*T2^12)/
     (T1^6*T2^6))}, 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), -((3 - 21*T1 + 51*T1^2 - 78*T1^3 + 87*T1^4 - 78*T1^5 + 51*T1^6 - 
      21*T1^7 + 3*T1^8 - 21*T2 + 126*T1*T2 - 210*T1^2*T2 + 189*T1^3*T2 - 
      63*T1^4*T2 - 63*T1^5*T2 + 189*T1^6*T2 - 210*T1^7*T2 + 126*T1^8*T2 - 
      21*T1^9*T2 + 51*T2^2 - 210*T1*T2^2 - 91*T1^2*T2^2 + 758*T1^3*T2^2 - 
      1380*T1^4*T2^2 + 1503*T1^5*T2^2 - 1380*T1^6*T2^2 + 758*T1^7*T2^2 - 
      91*T1^8*T2^2 - 210*T1^9*T2^2 + 51*T1^10*T2^2 - 78*T2^3 + 189*T1*T2^3 + 
      758*T1^2*T2^3 - 1542*T1^3*T2^3 + 1439*T1^4*T2^3 - 366*T1^5*T2^3 - 
      366*T1^6*T2^3 + 1439*T1^7*T2^3 - 1542*T1^8*T2^3 + 758*T1^9*T2^3 + 
      189*T1^10*T2^3 - 78*T1^11*T2^3 + 87*T2^4 - 63*T1*T2^4 - 
      1380*T1^2*T2^4 + 1439*T1^3*T2^4 - 476*T1^4*T2^4 - 713*T1^5*T2^4 + 
      366*T1^6*T2^4 - 713*T1^7*T2^4 - 476*T1^8*T2^4 + 1439*T1^9*T2^4 - 
      1380*T1^10*T2^4 - 63*T1^11*T2^4 + 87*T1^12*T2^4 - 78*T2^5 - 
      63*T1*T2^5 + 1503*T1^2*T2^5 - 366*T1^3*T2^5 - 713*T1^4*T2^5 + 
      1108*T1^5*T2^5 + 246*T1^6*T2^5 + 246*T1^7*T2^5 + 1108*T1^8*T2^5 - 
      713*T1^9*T2^5 - 366*T1^10*T2^5 + 1503*T1^11*T2^5 - 63*T1^12*T2^5 - 
      78*T1^13*T2^5 + 51*T2^6 + 189*T1*T2^6 - 1380*T1^2*T2^6 - 
      366*T1^3*T2^6 + 366*T1^4*T2^6 + 246*T1^5*T2^6 - 1791*T1^6*T2^6 + 
      625*T1^7*T2^6 - 1791*T1^8*T2^6 + 246*T1^9*T2^6 + 366*T1^10*T2^6 - 
      366*T1^11*T2^6 - 1380*T1^12*T2^6 + 189*T1^13*T2^6 + 51*T1^14*T2^6 - 
      21*T2^7 - 210*T1*T2^7 + 758*T1^2*T2^7 + 1439*T1^3*T2^7 - 
      713*T1^4*T2^7 + 246*T1^5*T2^7 + 625*T1^6*T2^7 + 796*T1^7*T2^7 + 
      796*T1^8*T2^7 + 625*T1^9*T2^7 + 246*T1^10*T2^7 - 713*T1^11*T2^7 + 
      1439*T1^12*T2^7 + 758*T1^13*T2^7 - 210*T1^14*T2^7 - 21*T1^15*T2^7 + 
      3*T2^8 + 126*T1*T2^8 - 91*T1^2*T2^8 - 1542*T1^3*T2^8 - 476*T1^4*T2^8 + 
      1108*T1^5*T2^8 - 1791*T1^6*T2^8 + 796*T1^7*T2^8 - 2508*T1^8*T2^8 + 
      796*T1^9*T2^8 - 1791*T1^10*T2^8 + 1108*T1^11*T2^8 - 476*T1^12*T2^8 - 
      1542*T1^13*T2^8 - 91*T1^14*T2^8 + 126*T1^15*T2^8 + 3*T1^16*T2^8 - 
      21*T1*T2^9 - 210*T1^2*T2^9 + 758*T1^3*T2^9 + 1439*T1^4*T2^9 - 
      713*T1^5*T2^9 + 246*T1^6*T2^9 + 625*T1^7*T2^9 + 796*T1^8*T2^9 + 
      796*T1^9*T2^9 + 625*T1^10*T2^9 + 246*T1^11*T2^9 - 713*T1^12*T2^9 + 
      1439*T1^13*T2^9 + 758*T1^14*T2^9 - 210*T1^15*T2^9 - 21*T1^16*T2^9 + 
      51*T1^2*T2^10 + 189*T1^3*T2^10 - 1380*T1^4*T2^10 - 366*T1^5*T2^10 + 
      366*T1^6*T2^10 + 246*T1^7*T2^10 - 1791*T1^8*T2^10 + 625*T1^9*T2^10 - 
      1791*T1^10*T2^10 + 246*T1^11*T2^10 + 366*T1^12*T2^10 - 
      366*T1^13*T2^10 - 1380*T1^14*T2^10 + 189*T1^15*T2^10 + 51*T1^16*T2^10 - 
      78*T1^3*T2^11 - 63*T1^4*T2^11 + 1503*T1^5*T2^11 - 366*T1^6*T2^11 - 
      713*T1^7*T2^11 + 1108*T1^8*T2^11 + 246*T1^9*T2^11 + 246*T1^10*T2^11 + 
      1108*T1^11*T2^11 - 713*T1^12*T2^11 - 366*T1^13*T2^11 + 
      1503*T1^14*T2^11 - 63*T1^15*T2^11 - 78*T1^16*T2^11 + 87*T1^4*T2^12 - 
      63*T1^5*T2^12 - 1380*T1^6*T2^12 + 1439*T1^7*T2^12 - 476*T1^8*T2^12 - 
      713*T1^9*T2^12 + 366*T1^10*T2^12 - 713*T1^11*T2^12 - 476*T1^12*T2^12 + 
      1439*T1^13*T2^12 - 1380*T1^14*T2^12 - 63*T1^15*T2^12 + 87*T1^16*T2^12 - 
      78*T1^5*T2^13 + 189*T1^6*T2^13 + 758*T1^7*T2^13 - 1542*T1^8*T2^13 + 
      1439*T1^9*T2^13 - 366*T1^10*T2^13 - 366*T1^11*T2^13 + 
      1439*T1^12*T2^13 - 1542*T1^13*T2^13 + 758*T1^14*T2^13 + 
      189*T1^15*T2^13 - 78*T1^16*T2^13 + 51*T1^6*T2^14 - 210*T1^7*T2^14 - 
      91*T1^8*T2^14 + 758*T1^9*T2^14 - 1380*T1^10*T2^14 + 1503*T1^11*T2^14 - 
      1380*T1^12*T2^14 + 758*T1^13*T2^14 - 91*T1^14*T2^14 - 210*T1^15*T2^14 + 
      51*T1^16*T2^14 - 21*T1^7*T2^15 + 126*T1^8*T2^15 - 210*T1^9*T2^15 + 
      189*T1^10*T2^15 - 63*T1^11*T2^15 - 63*T1^12*T2^15 + 189*T1^13*T2^15 - 
      210*T1^14*T2^15 + 126*T1^15*T2^15 - 21*T1^16*T2^15 + 3*T1^8*T2^16 - 
      21*T1^9*T2^16 + 51*T1^10*T2^16 - 78*T1^11*T2^16 + 87*T1^12*T2^16 - 
      78*T1^13*T2^16 + 51*T1^14*T2^16 - 21*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 106] -> 
  {-((2 - 14*T + 34*T^2 - 45*T^3 + 34*T^4 - 14*T^5 + 2*T^6)/T^3), 
   -((17 - 119*T1 + 288*T1^2 - 381*T1^3 + 288*T1^4 - 119*T1^5 + 17*T1^6 - 
      119*T2 + 714*T1*T2 - 1183*T1^2*T2 + 651*T1^3*T2 + 651*T1^4*T2 - 
      1183*T1^5*T2 + 714*T1^6*T2 - 119*T1^7*T2 + 288*T2^2 - 1183*T1*T2^2 - 
      569*T1^2*T2^2 + 5363*T1^3*T2^2 - 8523*T1^4*T2^2 + 5363*T1^5*T2^2 - 
      569*T1^6*T2^2 - 1183*T1^7*T2^2 + 288*T1^8*T2^2 - 381*T2^3 + 
      651*T1*T2^3 + 5363*T1^2*T2^3 - 11402*T1^3*T2^3 + 6954*T1^4*T2^3 + 
      6954*T1^5*T2^3 - 11402*T1^6*T2^3 + 5363*T1^7*T2^3 + 651*T1^8*T2^3 - 
      381*T1^9*T2^3 + 288*T2^4 + 651*T1*T2^4 - 8523*T1^2*T2^4 + 
      6954*T1^3*T2^4 + 9413*T1^4*T2^4 - 22695*T1^5*T2^4 + 9413*T1^6*T2^4 + 
      6954*T1^7*T2^4 - 8523*T1^8*T2^4 + 651*T1^9*T2^4 + 288*T1^10*T2^4 - 
      119*T2^5 - 1183*T1*T2^5 + 5363*T1^2*T2^5 + 6954*T1^3*T2^5 - 
      22695*T1^4*T2^5 + 15652*T1^5*T2^5 + 15652*T1^6*T2^5 - 22695*T1^7*T2^5 + 
      6954*T1^8*T2^5 + 5363*T1^9*T2^5 - 1183*T1^10*T2^5 - 119*T1^11*T2^5 + 
      17*T2^6 + 714*T1*T2^6 - 569*T1^2*T2^6 - 11402*T1^3*T2^6 + 
      9413*T1^4*T2^6 + 15652*T1^5*T2^6 - 36804*T1^6*T2^6 + 15652*T1^7*T2^6 + 
      9413*T1^8*T2^6 - 11402*T1^9*T2^6 - 569*T1^10*T2^6 + 714*T1^11*T2^6 + 
      17*T1^12*T2^6 - 119*T1*T2^7 - 1183*T1^2*T2^7 + 5363*T1^3*T2^7 + 
      6954*T1^4*T2^7 - 22695*T1^5*T2^7 + 15652*T1^6*T2^7 + 15652*T1^7*T2^7 - 
      22695*T1^8*T2^7 + 6954*T1^9*T2^7 + 5363*T1^10*T2^7 - 1183*T1^11*T2^7 - 
      119*T1^12*T2^7 + 288*T1^2*T2^8 + 651*T1^3*T2^8 - 8523*T1^4*T2^8 + 
      6954*T1^5*T2^8 + 9413*T1^6*T2^8 - 22695*T1^7*T2^8 + 9413*T1^8*T2^8 + 
      6954*T1^9*T2^8 - 8523*T1^10*T2^8 + 651*T1^11*T2^8 + 288*T1^12*T2^8 - 
      381*T1^3*T2^9 + 651*T1^4*T2^9 + 5363*T1^5*T2^9 - 11402*T1^6*T2^9 + 
      6954*T1^7*T2^9 + 6954*T1^8*T2^9 - 11402*T1^9*T2^9 + 5363*T1^10*T2^9 + 
      651*T1^11*T2^9 - 381*T1^12*T2^9 + 288*T1^4*T2^10 - 1183*T1^5*T2^10 - 
      569*T1^6*T2^10 + 5363*T1^7*T2^10 - 8523*T1^8*T2^10 + 5363*T1^9*T2^10 - 
      569*T1^10*T2^10 - 1183*T1^11*T2^10 + 288*T1^12*T2^10 - 119*T1^5*T2^11 + 
      714*T1^6*T2^11 - 1183*T1^7*T2^11 + 651*T1^8*T2^11 + 651*T1^9*T2^11 - 
      1183*T1^10*T2^11 + 714*T1^11*T2^11 - 119*T1^12*T2^11 + 17*T1^6*T2^12 - 
      119*T1^7*T2^12 + 288*T1^8*T2^12 - 381*T1^9*T2^12 + 288*T1^10*T2^12 - 
      119*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 107] -> 
  {(7 - 27*T + 53*T^2 - 65*T^3 + 53*T^4 - 27*T^5 + 7*T^6)/T^3, 
   (1078 - 4062*T1 + 7879*T1^2 - 9616*T1^3 + 7879*T1^4 - 4062*T1^5 + 
     1078*T1^6 - 4062*T2 + 11330*T1*T2 - 14558*T1^2*T2 + 6649*T1^3*T2 + 
     6649*T1^4*T2 - 14558*T1^5*T2 + 11330*T1^6*T2 - 4062*T1^7*T2 + 
     7879*T2^2 - 14558*T1*T2^2 + 7257*T1^2*T2^2 + 14139*T1^3*T2^2 - 
     24681*T1^4*T2^2 + 14139*T1^5*T2^2 + 7257*T1^6*T2^2 - 14558*T1^7*T2^2 + 
     7879*T1^8*T2^2 - 9616*T2^3 + 6649*T1*T2^3 + 14139*T1^2*T2^3 - 
     33488*T1^3*T2^3 + 16482*T1^4*T2^3 + 16482*T1^5*T2^3 - 33488*T1^6*T2^3 + 
     14139*T1^7*T2^3 + 6649*T1^8*T2^3 - 9616*T1^9*T2^3 + 7879*T2^4 + 
     6649*T1*T2^4 - 24681*T1^2*T2^4 + 16482*T1^3*T2^4 + 30261*T1^4*T2^4 - 
     52085*T1^5*T2^4 + 30261*T1^6*T2^4 + 16482*T1^7*T2^4 - 24681*T1^8*T2^4 + 
     6649*T1^9*T2^4 + 7879*T1^10*T2^4 - 4062*T2^5 - 14558*T1*T2^5 + 
     14139*T1^2*T2^5 + 16482*T1^3*T2^5 - 52085*T1^4*T2^5 + 25288*T1^5*T2^5 + 
     25288*T1^6*T2^5 - 52085*T1^7*T2^5 + 16482*T1^8*T2^5 + 14139*T1^9*T2^5 - 
     14558*T1^10*T2^5 - 4062*T1^11*T2^5 + 1078*T2^6 + 11330*T1*T2^6 + 
     7257*T1^2*T2^6 - 33488*T1^3*T2^6 + 30261*T1^4*T2^6 + 25288*T1^5*T2^6 - 
     50412*T1^6*T2^6 + 25288*T1^7*T2^6 + 30261*T1^8*T2^6 - 33488*T1^9*T2^6 + 
     7257*T1^10*T2^6 + 11330*T1^11*T2^6 + 1078*T1^12*T2^6 - 4062*T1*T2^7 - 
     14558*T1^2*T2^7 + 14139*T1^3*T2^7 + 16482*T1^4*T2^7 - 52085*T1^5*T2^7 + 
     25288*T1^6*T2^7 + 25288*T1^7*T2^7 - 52085*T1^8*T2^7 + 16482*T1^9*T2^7 + 
     14139*T1^10*T2^7 - 14558*T1^11*T2^7 - 4062*T1^12*T2^7 + 7879*T1^2*T2^8 + 
     6649*T1^3*T2^8 - 24681*T1^4*T2^8 + 16482*T1^5*T2^8 + 30261*T1^6*T2^8 - 
     52085*T1^7*T2^8 + 30261*T1^8*T2^8 + 16482*T1^9*T2^8 - 24681*T1^10*T2^8 + 
     6649*T1^11*T2^8 + 7879*T1^12*T2^8 - 9616*T1^3*T2^9 + 6649*T1^4*T2^9 + 
     14139*T1^5*T2^9 - 33488*T1^6*T2^9 + 16482*T1^7*T2^9 + 16482*T1^8*T2^9 - 
     33488*T1^9*T2^9 + 14139*T1^10*T2^9 + 6649*T1^11*T2^9 - 9616*T1^12*T2^9 + 
     7879*T1^4*T2^10 - 14558*T1^5*T2^10 + 7257*T1^6*T2^10 + 
     14139*T1^7*T2^10 - 24681*T1^8*T2^10 + 14139*T1^9*T2^10 + 
     7257*T1^10*T2^10 - 14558*T1^11*T2^10 + 7879*T1^12*T2^10 - 
     4062*T1^5*T2^11 + 11330*T1^6*T2^11 - 14558*T1^7*T2^11 + 
     6649*T1^8*T2^11 + 6649*T1^9*T2^11 - 14558*T1^10*T2^11 + 
     11330*T1^11*T2^11 - 4062*T1^12*T2^11 + 1078*T1^6*T2^12 - 
     4062*T1^7*T2^12 + 7879*T1^8*T2^12 - 9616*T1^9*T2^12 + 7879*T1^10*T2^12 - 
     4062*T1^11*T2^12 + 1078*T1^12*T2^12)/(T1^6*T2^6)}, 
 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), -((1 - 8*T1 + 26*T1^2 - 51*T1^3 + 63*T1^4 - 51*T1^5 + 26*T1^6 - 
      8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 144*T1^2*T2 + 200*T1^3*T2 - 
      96*T1^4*T2 - 96*T1^5*T2 + 200*T1^6*T2 - 144*T1^7*T2 + 56*T1^8*T2 - 
      8*T1^9*T2 + 26*T2^2 - 144*T1*T2^2 + 196*T1^2*T2^2 + 105*T1^3*T2^2 - 
      895*T1^4*T2^2 + 1310*T1^5*T2^2 - 895*T1^6*T2^2 + 105*T1^7*T2^2 + 
      196*T1^8*T2^2 - 144*T1^9*T2^2 + 26*T1^10*T2^2 - 51*T2^3 + 200*T1*T2^3 + 
      105*T1^2*T2^3 - 1110*T1^3*T2^3 + 2262*T1^4*T2^3 - 1155*T1^5*T2^3 - 
      1155*T1^6*T2^3 + 2262*T1^7*T2^3 - 1110*T1^8*T2^3 + 105*T1^9*T2^3 + 
      200*T1^10*T2^3 - 51*T1^11*T2^3 + 63*T2^4 - 96*T1*T2^4 - 895*T1^2*T2^4 + 
      2262*T1^3*T2^4 - 2364*T1^4*T2^4 - 1720*T1^5*T2^4 + 3944*T1^6*T2^4 - 
      1720*T1^7*T2^4 - 2364*T1^8*T2^4 + 2262*T1^9*T2^4 - 895*T1^10*T2^4 - 
      96*T1^11*T2^4 + 63*T1^12*T2^4 - 51*T2^5 - 96*T1*T2^5 + 1310*T1^2*T2^5 - 
      1155*T1^3*T2^5 - 1720*T1^4*T2^5 + 7480*T1^5*T2^5 - 3968*T1^6*T2^5 - 
      3968*T1^7*T2^5 + 7480*T1^8*T2^5 - 1720*T1^9*T2^5 - 1155*T1^10*T2^5 + 
      1310*T1^11*T2^5 - 96*T1^12*T2^5 - 51*T1^13*T2^5 + 26*T2^6 + 
      200*T1*T2^6 - 895*T1^2*T2^6 - 1155*T1^3*T2^6 + 3944*T1^4*T2^6 - 
      3968*T1^5*T2^6 - 9644*T1^6*T2^6 + 16554*T1^7*T2^6 - 9644*T1^8*T2^6 - 
      3968*T1^9*T2^6 + 3944*T1^10*T2^6 - 1155*T1^11*T2^6 - 895*T1^12*T2^6 + 
      200*T1^13*T2^6 + 26*T1^14*T2^6 - 8*T2^7 - 144*T1*T2^7 + 105*T1^2*T2^7 + 
      2262*T1^3*T2^7 - 1720*T1^4*T2^7 - 3968*T1^5*T2^7 + 16554*T1^6*T2^7 - 
      8560*T1^7*T2^7 - 8560*T1^8*T2^7 + 16554*T1^9*T2^7 - 3968*T1^10*T2^7 - 
      1720*T1^11*T2^7 + 2262*T1^12*T2^7 + 105*T1^13*T2^7 - 144*T1^14*T2^7 - 
      8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 196*T1^2*T2^8 - 1110*T1^3*T2^8 - 
      2364*T1^4*T2^8 + 7480*T1^5*T2^8 - 9644*T1^6*T2^8 - 8560*T1^7*T2^8 + 
      17772*T1^8*T2^8 - 8560*T1^9*T2^8 - 9644*T1^10*T2^8 + 7480*T1^11*T2^8 - 
      2364*T1^12*T2^8 - 1110*T1^13*T2^8 + 196*T1^14*T2^8 + 56*T1^15*T2^8 + 
      T1^16*T2^8 - 8*T1*T2^9 - 144*T1^2*T2^9 + 105*T1^3*T2^9 + 
      2262*T1^4*T2^9 - 1720*T1^5*T2^9 - 3968*T1^6*T2^9 + 16554*T1^7*T2^9 - 
      8560*T1^8*T2^9 - 8560*T1^9*T2^9 + 16554*T1^10*T2^9 - 3968*T1^11*T2^9 - 
      1720*T1^12*T2^9 + 2262*T1^13*T2^9 + 105*T1^14*T2^9 - 144*T1^15*T2^9 - 
      8*T1^16*T2^9 + 26*T1^2*T2^10 + 200*T1^3*T2^10 - 895*T1^4*T2^10 - 
      1155*T1^5*T2^10 + 3944*T1^6*T2^10 - 3968*T1^7*T2^10 - 9644*T1^8*T2^10 + 
      16554*T1^9*T2^10 - 9644*T1^10*T2^10 - 3968*T1^11*T2^10 + 
      3944*T1^12*T2^10 - 1155*T1^13*T2^10 - 895*T1^14*T2^10 + 
      200*T1^15*T2^10 + 26*T1^16*T2^10 - 51*T1^3*T2^11 - 96*T1^4*T2^11 + 
      1310*T1^5*T2^11 - 1155*T1^6*T2^11 - 1720*T1^7*T2^11 + 7480*T1^8*T2^11 - 
      3968*T1^9*T2^11 - 3968*T1^10*T2^11 + 7480*T1^11*T2^11 - 
      1720*T1^12*T2^11 - 1155*T1^13*T2^11 + 1310*T1^14*T2^11 - 
      96*T1^15*T2^11 - 51*T1^16*T2^11 + 63*T1^4*T2^12 - 96*T1^5*T2^12 - 
      895*T1^6*T2^12 + 2262*T1^7*T2^12 - 2364*T1^8*T2^12 - 1720*T1^9*T2^12 + 
      3944*T1^10*T2^12 - 1720*T1^11*T2^12 - 2364*T1^12*T2^12 + 
      2262*T1^13*T2^12 - 895*T1^14*T2^12 - 96*T1^15*T2^12 + 63*T1^16*T2^12 - 
      51*T1^5*T2^13 + 200*T1^6*T2^13 + 105*T1^7*T2^13 - 1110*T1^8*T2^13 + 
      2262*T1^9*T2^13 - 1155*T1^10*T2^13 - 1155*T1^11*T2^13 + 
      2262*T1^12*T2^13 - 1110*T1^13*T2^13 + 105*T1^14*T2^13 + 
      200*T1^15*T2^13 - 51*T1^16*T2^13 + 26*T1^6*T2^14 - 144*T1^7*T2^14 + 
      196*T1^8*T2^14 + 105*T1^9*T2^14 - 895*T1^10*T2^14 + 1310*T1^11*T2^14 - 
      895*T1^12*T2^14 + 105*T1^13*T2^14 + 196*T1^14*T2^14 - 144*T1^15*T2^14 + 
      26*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 144*T1^9*T2^15 + 
      200*T1^10*T2^15 - 96*T1^11*T2^15 - 96*T1^12*T2^15 + 200*T1^13*T2^15 - 
      144*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
      8*T1^9*T2^16 + 26*T1^10*T2^16 - 51*T1^11*T2^16 + 63*T1^12*T2^16 - 
      51*T1^13*T2^16 + 26*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 109] -> 
  {-((2 - 14*T + 35*T^2 - 47*T^3 + 35*T^4 - 14*T^5 + 2*T^6)/T^3), 
   (1 - 8*T1 + 20*T1^2 - 27*T1^3 + 20*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
     56*T1*T2 - 96*T1^2*T2 + 56*T1^3*T2 + 56*T1^4*T2 - 96*T1^5*T2 + 
     56*T1^6*T2 - 8*T1^7*T2 + 20*T2^2 - 96*T1*T2^2 - 83*T1^2*T2^2 + 
     559*T1^3*T2^2 - 901*T1^4*T2^2 + 559*T1^5*T2^2 - 83*T1^6*T2^2 - 
     96*T1^7*T2^2 + 20*T1^8*T2^2 - 27*T2^3 + 56*T1*T2^3 + 559*T1^2*T2^3 - 
     1186*T1^3*T2^3 + 779*T1^4*T2^3 + 779*T1^5*T2^3 - 1186*T1^6*T2^3 + 
     559*T1^7*T2^3 + 56*T1^8*T2^3 - 27*T1^9*T2^3 + 20*T2^4 + 56*T1*T2^4 - 
     901*T1^2*T2^4 + 779*T1^3*T2^4 + 807*T1^4*T2^4 - 2377*T1^5*T2^4 + 
     807*T1^6*T2^4 + 779*T1^7*T2^4 - 901*T1^8*T2^4 + 56*T1^9*T2^4 + 
     20*T1^10*T2^4 - 8*T2^5 - 96*T1*T2^5 + 559*T1^2*T2^5 + 779*T1^3*T2^5 - 
     2377*T1^4*T2^5 + 1848*T1^5*T2^5 + 1848*T1^6*T2^5 - 2377*T1^7*T2^5 + 
     779*T1^8*T2^5 + 559*T1^9*T2^5 - 96*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
     56*T1*T2^6 - 83*T1^2*T2^6 - 1186*T1^3*T2^6 + 807*T1^4*T2^6 + 
     1848*T1^5*T2^6 - 4548*T1^6*T2^6 + 1848*T1^7*T2^6 + 807*T1^8*T2^6 - 
     1186*T1^9*T2^6 - 83*T1^10*T2^6 + 56*T1^11*T2^6 + T1^12*T2^6 - 
     8*T1*T2^7 - 96*T1^2*T2^7 + 559*T1^3*T2^7 + 779*T1^4*T2^7 - 
     2377*T1^5*T2^7 + 1848*T1^6*T2^7 + 1848*T1^7*T2^7 - 2377*T1^8*T2^7 + 
     779*T1^9*T2^7 + 559*T1^10*T2^7 - 96*T1^11*T2^7 - 8*T1^12*T2^7 + 
     20*T1^2*T2^8 + 56*T1^3*T2^8 - 901*T1^4*T2^8 + 779*T1^5*T2^8 + 
     807*T1^6*T2^8 - 2377*T1^7*T2^8 + 807*T1^8*T2^8 + 779*T1^9*T2^8 - 
     901*T1^10*T2^8 + 56*T1^11*T2^8 + 20*T1^12*T2^8 - 27*T1^3*T2^9 + 
     56*T1^4*T2^9 + 559*T1^5*T2^9 - 1186*T1^6*T2^9 + 779*T1^7*T2^9 + 
     779*T1^8*T2^9 - 1186*T1^9*T2^9 + 559*T1^10*T2^9 + 56*T1^11*T2^9 - 
     27*T1^12*T2^9 + 20*T1^4*T2^10 - 96*T1^5*T2^10 - 83*T1^6*T2^10 + 
     559*T1^7*T2^10 - 901*T1^8*T2^10 + 559*T1^9*T2^10 - 83*T1^10*T2^10 - 
     96*T1^11*T2^10 + 20*T1^12*T2^10 - 8*T1^5*T2^11 + 56*T1^6*T2^11 - 
     96*T1^7*T2^11 + 56*T1^8*T2^11 + 56*T1^9*T2^11 - 96*T1^10*T2^11 + 
     56*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
     20*T1^8*T2^12 - 27*T1^9*T2^12 + 20*T1^10*T2^12 - 8*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 110] -> 
  {-((3 - 18*T + 42*T^2 - 55*T^3 + 42*T^4 - 18*T^5 + 3*T^6)/T^3), 
   -((57 - 342*T1 + 794*T1^2 - 1039*T1^3 + 794*T1^4 - 342*T1^5 + 57*T1^6 - 
      342*T2 + 1712*T1*T2 - 2719*T1^2*T2 + 1474*T1^3*T2 + 1474*T1^4*T2 - 
      2719*T1^5*T2 + 1712*T1^6*T2 - 342*T1^7*T2 + 794*T2^2 - 2719*T1*T2^2 - 
      361*T1^2*T2^2 + 9167*T1^3*T2^2 - 15049*T1^4*T2^2 + 9167*T1^5*T2^2 - 
      361*T1^6*T2^2 - 2719*T1^7*T2^2 + 794*T1^8*T2^2 - 1039*T2^3 + 
      1474*T1*T2^3 + 9167*T1^2*T2^3 - 19798*T1^3*T2^3 + 12165*T1^4*T2^3 + 
      12165*T1^5*T2^3 - 19798*T1^6*T2^3 + 9167*T1^7*T2^3 + 1474*T1^8*T2^3 - 
      1039*T1^9*T2^3 + 794*T2^4 + 1474*T1*T2^4 - 15049*T1^2*T2^4 + 
      12165*T1^3*T2^4 + 15809*T1^4*T2^4 - 38591*T1^5*T2^4 + 15809*T1^6*T2^4 + 
      12165*T1^7*T2^4 - 15049*T1^8*T2^4 + 1474*T1^9*T2^4 + 794*T1^10*T2^4 - 
      342*T2^5 - 2719*T1*T2^5 + 9167*T1^2*T2^5 + 12165*T1^3*T2^5 - 
      38591*T1^4*T2^5 + 26552*T1^5*T2^5 + 26552*T1^6*T2^5 - 38591*T1^7*T2^5 + 
      12165*T1^8*T2^5 + 9167*T1^9*T2^5 - 2719*T1^10*T2^5 - 342*T1^11*T2^5 + 
      57*T2^6 + 1712*T1*T2^6 - 361*T1^2*T2^6 - 19798*T1^3*T2^6 + 
      15809*T1^4*T2^6 + 26552*T1^5*T2^6 - 62220*T1^6*T2^6 + 26552*T1^7*T2^6 + 
      15809*T1^8*T2^6 - 19798*T1^9*T2^6 - 361*T1^10*T2^6 + 1712*T1^11*T2^6 + 
      57*T1^12*T2^6 - 342*T1*T2^7 - 2719*T1^2*T2^7 + 9167*T1^3*T2^7 + 
      12165*T1^4*T2^7 - 38591*T1^5*T2^7 + 26552*T1^6*T2^7 + 26552*T1^7*T2^7 - 
      38591*T1^8*T2^7 + 12165*T1^9*T2^7 + 9167*T1^10*T2^7 - 2719*T1^11*T2^7 - 
      342*T1^12*T2^7 + 794*T1^2*T2^8 + 1474*T1^3*T2^8 - 15049*T1^4*T2^8 + 
      12165*T1^5*T2^8 + 15809*T1^6*T2^8 - 38591*T1^7*T2^8 + 15809*T1^8*T2^8 + 
      12165*T1^9*T2^8 - 15049*T1^10*T2^8 + 1474*T1^11*T2^8 + 794*T1^12*T2^8 - 
      1039*T1^3*T2^9 + 1474*T1^4*T2^9 + 9167*T1^5*T2^9 - 19798*T1^6*T2^9 + 
      12165*T1^7*T2^9 + 12165*T1^8*T2^9 - 19798*T1^9*T2^9 + 9167*T1^10*T2^9 + 
      1474*T1^11*T2^9 - 1039*T1^12*T2^9 + 794*T1^4*T2^10 - 2719*T1^5*T2^10 - 
      361*T1^6*T2^10 + 9167*T1^7*T2^10 - 15049*T1^8*T2^10 + 9167*T1^9*T2^10 - 
      361*T1^10*T2^10 - 2719*T1^11*T2^10 + 794*T1^12*T2^10 - 342*T1^5*T2^11 + 
      1712*T1^6*T2^11 - 2719*T1^7*T2^11 + 1474*T1^8*T2^11 + 1474*T1^9*T2^11 - 
      2719*T1^10*T2^11 + 1712*T1^11*T2^11 - 342*T1^12*T2^11 + 57*T1^6*T2^12 - 
      342*T1^7*T2^12 + 794*T1^8*T2^12 - 1039*T1^9*T2^12 + 794*T1^10*T2^12 - 
      342*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   (2 - 16*T1 + 52*T1^2 - 94*T1^3 + 114*T1^4 - 94*T1^5 + 52*T1^6 - 16*T1^7 + 
     2*T1^8 - 16*T2 + 112*T1*T2 - 288*T1^2*T2 + 336*T1^3*T2 - 160*T1^4*T2 - 
     160*T1^5*T2 + 336*T1^6*T2 - 288*T1^7*T2 + 112*T1^8*T2 - 16*T1^9*T2 + 
     52*T2^2 - 288*T1*T2^2 + 384*T1^2*T2^2 + 449*T1^3*T2^2 - 1667*T1^4*T2^2 + 
     2368*T1^5*T2^2 - 1667*T1^6*T2^2 + 449*T1^7*T2^2 + 384*T1^8*T2^2 - 
     288*T1^9*T2^2 + 52*T1^10*T2^2 - 94*T2^3 + 336*T1*T2^3 + 449*T1^2*T2^3 - 
     3094*T1^3*T2^3 + 4078*T1^4*T2^3 - 2159*T1^5*T2^3 - 2159*T1^6*T2^3 + 
     4078*T1^7*T2^3 - 3094*T1^8*T2^3 + 449*T1^9*T2^3 + 336*T1^10*T2^3 - 
     94*T1^11*T2^3 + 114*T2^4 - 160*T1*T2^4 - 1667*T1^2*T2^4 + 
     4078*T1^3*T2^4 + 234*T1^4*T2^4 - 7290*T1^5*T2^4 + 12170*T1^6*T2^4 - 
     7290*T1^7*T2^4 + 234*T1^8*T2^4 + 4078*T1^9*T2^4 - 1667*T1^10*T2^4 - 
     160*T1^11*T2^4 + 114*T1^12*T2^4 - 94*T2^5 - 160*T1*T2^5 + 
     2368*T1^2*T2^5 - 2159*T1^3*T2^5 - 7290*T1^4*T2^5 + 11626*T1^5*T2^5 - 
     7247*T1^6*T2^5 - 7247*T1^7*T2^5 + 11626*T1^8*T2^5 - 7290*T1^9*T2^5 - 
     2159*T1^10*T2^5 + 2368*T1^11*T2^5 - 160*T1^12*T2^5 - 94*T1^13*T2^5 + 
     52*T2^6 + 336*T1*T2^6 - 1667*T1^2*T2^6 - 2159*T1^3*T2^6 + 
     12170*T1^4*T2^6 - 7247*T1^5*T2^6 - 4109*T1^6*T2^6 + 15001*T1^7*T2^6 - 
     4109*T1^8*T2^6 - 7247*T1^9*T2^6 + 12170*T1^10*T2^6 - 2159*T1^11*T2^6 - 
     1667*T1^12*T2^6 + 336*T1^13*T2^6 + 52*T1^14*T2^6 - 16*T2^7 - 
     288*T1*T2^7 + 449*T1^2*T2^7 + 4078*T1^3*T2^7 - 7290*T1^4*T2^7 - 
     7247*T1^5*T2^7 + 15001*T1^6*T2^7 - 11176*T1^7*T2^7 - 11176*T1^8*T2^7 + 
     15001*T1^9*T2^7 - 7247*T1^10*T2^7 - 7290*T1^11*T2^7 + 4078*T1^12*T2^7 + 
     449*T1^13*T2^7 - 288*T1^14*T2^7 - 16*T1^15*T2^7 + 2*T2^8 + 112*T1*T2^8 + 
     384*T1^2*T2^8 - 3094*T1^3*T2^8 + 234*T1^4*T2^8 + 11626*T1^5*T2^8 - 
     4109*T1^6*T2^8 - 11176*T1^7*T2^8 + 26280*T1^8*T2^8 - 11176*T1^9*T2^8 - 
     4109*T1^10*T2^8 + 11626*T1^11*T2^8 + 234*T1^12*T2^8 - 3094*T1^13*T2^8 + 
     384*T1^14*T2^8 + 112*T1^15*T2^8 + 2*T1^16*T2^8 - 16*T1*T2^9 - 
     288*T1^2*T2^9 + 449*T1^3*T2^9 + 4078*T1^4*T2^9 - 7290*T1^5*T2^9 - 
     7247*T1^6*T2^9 + 15001*T1^7*T2^9 - 11176*T1^8*T2^9 - 11176*T1^9*T2^9 + 
     15001*T1^10*T2^9 - 7247*T1^11*T2^9 - 7290*T1^12*T2^9 + 4078*T1^13*T2^9 + 
     449*T1^14*T2^9 - 288*T1^15*T2^9 - 16*T1^16*T2^9 + 52*T1^2*T2^10 + 
     336*T1^3*T2^10 - 1667*T1^4*T2^10 - 2159*T1^5*T2^10 + 12170*T1^6*T2^10 - 
     7247*T1^7*T2^10 - 4109*T1^8*T2^10 + 15001*T1^9*T2^10 - 
     4109*T1^10*T2^10 - 7247*T1^11*T2^10 + 12170*T1^12*T2^10 - 
     2159*T1^13*T2^10 - 1667*T1^14*T2^10 + 336*T1^15*T2^10 + 52*T1^16*T2^10 - 
     94*T1^3*T2^11 - 160*T1^4*T2^11 + 2368*T1^5*T2^11 - 2159*T1^6*T2^11 - 
     7290*T1^7*T2^11 + 11626*T1^8*T2^11 - 7247*T1^9*T2^11 - 
     7247*T1^10*T2^11 + 11626*T1^11*T2^11 - 7290*T1^12*T2^11 - 
     2159*T1^13*T2^11 + 2368*T1^14*T2^11 - 160*T1^15*T2^11 - 94*T1^16*T2^11 + 
     114*T1^4*T2^12 - 160*T1^5*T2^12 - 1667*T1^6*T2^12 + 4078*T1^7*T2^12 + 
     234*T1^8*T2^12 - 7290*T1^9*T2^12 + 12170*T1^10*T2^12 - 
     7290*T1^11*T2^12 + 234*T1^12*T2^12 + 4078*T1^13*T2^12 - 
     1667*T1^14*T2^12 - 160*T1^15*T2^12 + 114*T1^16*T2^12 - 94*T1^5*T2^13 + 
     336*T1^6*T2^13 + 449*T1^7*T2^13 - 3094*T1^8*T2^13 + 4078*T1^9*T2^13 - 
     2159*T1^10*T2^13 - 2159*T1^11*T2^13 + 4078*T1^12*T2^13 - 
     3094*T1^13*T2^13 + 449*T1^14*T2^13 + 336*T1^15*T2^13 - 94*T1^16*T2^13 + 
     52*T1^6*T2^14 - 288*T1^7*T2^14 + 384*T1^8*T2^14 + 449*T1^9*T2^14 - 
     1667*T1^10*T2^14 + 2368*T1^11*T2^14 - 1667*T1^12*T2^14 + 
     449*T1^13*T2^14 + 384*T1^14*T2^14 - 288*T1^15*T2^14 + 52*T1^16*T2^14 - 
     16*T1^7*T2^15 + 112*T1^8*T2^15 - 288*T1^9*T2^15 + 336*T1^10*T2^15 - 
     160*T1^11*T2^15 - 160*T1^12*T2^15 + 336*T1^13*T2^15 - 288*T1^14*T2^15 + 
     112*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)/(T1^8*T2^8)}, 
 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), (1 - 7*T1 + 20*T1^2 - 35*T1^3 + 41*T1^4 - 35*T1^5 + 20*T1^6 - 
     7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 91*T1^2*T2 + 105*T1^3*T2 - 
     42*T1^4*T2 - 42*T1^5*T2 + 105*T1^6*T2 - 91*T1^7*T2 + 42*T1^8*T2 - 
     7*T1^9*T2 + 20*T2^2 - 91*T1*T2^2 + 82*T1^2*T2^2 + 125*T1^3*T2^2 - 
     469*T1^4*T2^2 + 580*T1^5*T2^2 - 469*T1^6*T2^2 + 125*T1^7*T2^2 + 
     82*T1^8*T2^2 - 91*T1^9*T2^2 + 20*T1^10*T2^2 - 35*T2^3 + 105*T1*T2^3 + 
     125*T1^2*T2^3 - 612*T1^3*T2^3 + 905*T1^4*T2^3 - 327*T1^5*T2^3 - 
     327*T1^6*T2^3 + 905*T1^7*T2^3 - 612*T1^8*T2^3 + 125*T1^9*T2^3 + 
     105*T1^10*T2^3 - 35*T1^11*T2^3 + 41*T2^4 - 42*T1*T2^4 - 469*T1^2*T2^4 + 
     905*T1^3*T2^4 - 504*T1^4*T2^4 - 1033*T1^5*T2^4 + 1368*T1^6*T2^4 - 
     1033*T1^7*T2^4 - 504*T1^8*T2^4 + 905*T1^9*T2^4 - 469*T1^10*T2^4 - 
     42*T1^11*T2^4 + 41*T1^12*T2^4 - 35*T2^5 - 42*T1*T2^5 + 580*T1^2*T2^5 - 
     327*T1^3*T2^5 - 1033*T1^4*T2^5 + 2542*T1^5*T2^5 - 878*T1^6*T2^5 - 
     878*T1^7*T2^5 + 2542*T1^8*T2^5 - 1033*T1^9*T2^5 - 327*T1^10*T2^5 + 
     580*T1^11*T2^5 - 42*T1^12*T2^5 - 35*T1^13*T2^5 + 20*T2^6 + 105*T1*T2^6 - 
     469*T1^2*T2^6 - 327*T1^3*T2^6 + 1368*T1^4*T2^6 - 878*T1^5*T2^6 - 
     3071*T1^6*T2^6 + 4057*T1^7*T2^6 - 3071*T1^8*T2^6 - 878*T1^9*T2^6 + 
     1368*T1^10*T2^6 - 327*T1^11*T2^6 - 469*T1^12*T2^6 + 105*T1^13*T2^6 + 
     20*T1^14*T2^6 - 7*T2^7 - 91*T1*T2^7 + 125*T1^2*T2^7 + 905*T1^3*T2^7 - 
     1033*T1^4*T2^7 - 878*T1^5*T2^7 + 4057*T1^6*T2^7 - 1548*T1^7*T2^7 - 
     1548*T1^8*T2^7 + 4057*T1^9*T2^7 - 878*T1^10*T2^7 - 1033*T1^11*T2^7 + 
     905*T1^12*T2^7 + 125*T1^13*T2^7 - 91*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 
     42*T1*T2^8 + 82*T1^2*T2^8 - 612*T1^3*T2^8 - 504*T1^4*T2^8 + 
     2542*T1^5*T2^8 - 3071*T1^6*T2^8 - 1548*T1^7*T2^8 + 2856*T1^8*T2^8 - 
     1548*T1^9*T2^8 - 3071*T1^10*T2^8 + 2542*T1^11*T2^8 - 504*T1^12*T2^8 - 
     612*T1^13*T2^8 + 82*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 
     7*T1*T2^9 - 91*T1^2*T2^9 + 125*T1^3*T2^9 + 905*T1^4*T2^9 - 
     1033*T1^5*T2^9 - 878*T1^6*T2^9 + 4057*T1^7*T2^9 - 1548*T1^8*T2^9 - 
     1548*T1^9*T2^9 + 4057*T1^10*T2^9 - 878*T1^11*T2^9 - 1033*T1^12*T2^9 + 
     905*T1^13*T2^9 + 125*T1^14*T2^9 - 91*T1^15*T2^9 - 7*T1^16*T2^9 + 
     20*T1^2*T2^10 + 105*T1^3*T2^10 - 469*T1^4*T2^10 - 327*T1^5*T2^10 + 
     1368*T1^6*T2^10 - 878*T1^7*T2^10 - 3071*T1^8*T2^10 + 4057*T1^9*T2^10 - 
     3071*T1^10*T2^10 - 878*T1^11*T2^10 + 1368*T1^12*T2^10 - 
     327*T1^13*T2^10 - 469*T1^14*T2^10 + 105*T1^15*T2^10 + 20*T1^16*T2^10 - 
     35*T1^3*T2^11 - 42*T1^4*T2^11 + 580*T1^5*T2^11 - 327*T1^6*T2^11 - 
     1033*T1^7*T2^11 + 2542*T1^8*T2^11 - 878*T1^9*T2^11 - 878*T1^10*T2^11 + 
     2542*T1^11*T2^11 - 1033*T1^12*T2^11 - 327*T1^13*T2^11 + 
     580*T1^14*T2^11 - 42*T1^15*T2^11 - 35*T1^16*T2^11 + 41*T1^4*T2^12 - 
     42*T1^5*T2^12 - 469*T1^6*T2^12 + 905*T1^7*T2^12 - 504*T1^8*T2^12 - 
     1033*T1^9*T2^12 + 1368*T1^10*T2^12 - 1033*T1^11*T2^12 - 
     504*T1^12*T2^12 + 905*T1^13*T2^12 - 469*T1^14*T2^12 - 42*T1^15*T2^12 + 
     41*T1^16*T2^12 - 35*T1^5*T2^13 + 105*T1^6*T2^13 + 125*T1^7*T2^13 - 
     612*T1^8*T2^13 + 905*T1^9*T2^13 - 327*T1^10*T2^13 - 327*T1^11*T2^13 + 
     905*T1^12*T2^13 - 612*T1^13*T2^13 + 125*T1^14*T2^13 + 105*T1^15*T2^13 - 
     35*T1^16*T2^13 + 20*T1^6*T2^14 - 91*T1^7*T2^14 + 82*T1^8*T2^14 + 
     125*T1^9*T2^14 - 469*T1^10*T2^14 + 580*T1^11*T2^14 - 469*T1^12*T2^14 + 
     125*T1^13*T2^14 + 82*T1^14*T2^14 - 91*T1^15*T2^14 + 20*T1^16*T2^14 - 
     7*T1^7*T2^15 + 42*T1^8*T2^15 - 91*T1^9*T2^15 + 105*T1^10*T2^15 - 
     42*T1^11*T2^15 - 42*T1^12*T2^15 + 105*T1^13*T2^15 - 91*T1^14*T2^15 + 
     42*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 
     20*T1^10*T2^16 - 35*T1^11*T2^16 + 41*T1^12*T2^16 - 35*T1^13*T2^16 + 
     20*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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), 
   -((1 - 7*T1 + 24*T1^2 - 48*T1^3 + 59*T1^4 - 48*T1^5 + 24*T1^6 - 7*T1^7 + 
      T1^8 - 7*T2 + 42*T1*T2 - 119*T1^2*T2 + 168*T1^3*T2 - 77*T1^4*T2 - 
      77*T1^5*T2 + 168*T1^6*T2 - 119*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 
      24*T2^2 - 119*T1*T2^2 + 256*T1^2*T2^2 - 137*T1^3*T2^2 - 382*T1^4*T2^2 + 
      618*T1^5*T2^2 - 382*T1^6*T2^2 - 137*T1^7*T2^2 + 256*T1^8*T2^2 - 
      119*T1^9*T2^2 + 24*T1^10*T2^2 - 48*T2^3 + 168*T1*T2^3 - 137*T1^2*T2^3 - 
      634*T1^3*T2^3 + 1613*T1^4*T2^3 - 743*T1^5*T2^3 - 743*T1^6*T2^3 + 
      1613*T1^7*T2^3 - 634*T1^8*T2^3 - 137*T1^9*T2^3 + 168*T1^10*T2^3 - 
      48*T1^11*T2^3 + 59*T2^4 - 77*T1*T2^4 - 382*T1^2*T2^4 + 1613*T1^3*T2^4 - 
      1249*T1^4*T2^4 - 2991*T1^5*T2^4 + 4677*T1^6*T2^4 - 2991*T1^7*T2^4 - 
      1249*T1^8*T2^4 + 1613*T1^9*T2^4 - 382*T1^10*T2^4 - 77*T1^11*T2^4 + 
      59*T1^12*T2^4 - 48*T2^5 - 77*T1*T2^5 + 618*T1^2*T2^5 - 743*T1^3*T2^5 - 
      2991*T1^4*T2^5 + 8646*T1^5*T2^5 - 3801*T1^6*T2^5 - 3801*T1^7*T2^5 + 
      8646*T1^8*T2^5 - 2991*T1^9*T2^5 - 743*T1^10*T2^5 + 618*T1^11*T2^5 - 
      77*T1^12*T2^5 - 48*T1^13*T2^5 + 24*T2^6 + 168*T1*T2^6 - 382*T1^2*T2^6 - 
      743*T1^3*T2^6 + 4677*T1^4*T2^6 - 3801*T1^5*T2^6 - 11132*T1^6*T2^6 + 
      16652*T1^7*T2^6 - 11132*T1^8*T2^6 - 3801*T1^9*T2^6 + 4677*T1^10*T2^6 - 
      743*T1^11*T2^6 - 382*T1^12*T2^6 + 168*T1^13*T2^6 + 24*T1^14*T2^6 - 
      7*T2^7 - 119*T1*T2^7 - 137*T1^2*T2^7 + 1613*T1^3*T2^7 - 
      2991*T1^4*T2^7 - 3801*T1^5*T2^7 + 16652*T1^6*T2^7 - 7200*T1^7*T2^7 - 
      7200*T1^8*T2^7 + 16652*T1^9*T2^7 - 3801*T1^10*T2^7 - 2991*T1^11*T2^7 + 
      1613*T1^12*T2^7 - 137*T1^13*T2^7 - 119*T1^14*T2^7 - 7*T1^15*T2^7 + 
      T2^8 + 42*T1*T2^8 + 256*T1^2*T2^8 - 634*T1^3*T2^8 - 1249*T1^4*T2^8 + 
      8646*T1^5*T2^8 - 11132*T1^6*T2^8 - 7200*T1^7*T2^8 + 13584*T1^8*T2^8 - 
      7200*T1^9*T2^8 - 11132*T1^10*T2^8 + 8646*T1^11*T2^8 - 1249*T1^12*T2^8 - 
      634*T1^13*T2^8 + 256*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 
      7*T1*T2^9 - 119*T1^2*T2^9 - 137*T1^3*T2^9 + 1613*T1^4*T2^9 - 
      2991*T1^5*T2^9 - 3801*T1^6*T2^9 + 16652*T1^7*T2^9 - 7200*T1^8*T2^9 - 
      7200*T1^9*T2^9 + 16652*T1^10*T2^9 - 3801*T1^11*T2^9 - 2991*T1^12*T2^9 + 
      1613*T1^13*T2^9 - 137*T1^14*T2^9 - 119*T1^15*T2^9 - 7*T1^16*T2^9 + 
      24*T1^2*T2^10 + 168*T1^3*T2^10 - 382*T1^4*T2^10 - 743*T1^5*T2^10 + 
      4677*T1^6*T2^10 - 3801*T1^7*T2^10 - 11132*T1^8*T2^10 + 
      16652*T1^9*T2^10 - 11132*T1^10*T2^10 - 3801*T1^11*T2^10 + 
      4677*T1^12*T2^10 - 743*T1^13*T2^10 - 382*T1^14*T2^10 + 
      168*T1^15*T2^10 + 24*T1^16*T2^10 - 48*T1^3*T2^11 - 77*T1^4*T2^11 + 
      618*T1^5*T2^11 - 743*T1^6*T2^11 - 2991*T1^7*T2^11 + 8646*T1^8*T2^11 - 
      3801*T1^9*T2^11 - 3801*T1^10*T2^11 + 8646*T1^11*T2^11 - 
      2991*T1^12*T2^11 - 743*T1^13*T2^11 + 618*T1^14*T2^11 - 77*T1^15*T2^11 - 
      48*T1^16*T2^11 + 59*T1^4*T2^12 - 77*T1^5*T2^12 - 382*T1^6*T2^12 + 
      1613*T1^7*T2^12 - 1249*T1^8*T2^12 - 2991*T1^9*T2^12 + 
      4677*T1^10*T2^12 - 2991*T1^11*T2^12 - 1249*T1^12*T2^12 + 
      1613*T1^13*T2^12 - 382*T1^14*T2^12 - 77*T1^15*T2^12 + 59*T1^16*T2^12 - 
      48*T1^5*T2^13 + 168*T1^6*T2^13 - 137*T1^7*T2^13 - 634*T1^8*T2^13 + 
      1613*T1^9*T2^13 - 743*T1^10*T2^13 - 743*T1^11*T2^13 + 
      1613*T1^12*T2^13 - 634*T1^13*T2^13 - 137*T1^14*T2^13 + 
      168*T1^15*T2^13 - 48*T1^16*T2^13 + 24*T1^6*T2^14 - 119*T1^7*T2^14 + 
      256*T1^8*T2^14 - 137*T1^9*T2^14 - 382*T1^10*T2^14 + 618*T1^11*T2^14 - 
      382*T1^12*T2^14 - 137*T1^13*T2^14 + 256*T1^14*T2^14 - 119*T1^15*T2^14 + 
      24*T1^16*T2^14 - 7*T1^7*T2^15 + 42*T1^8*T2^15 - 119*T1^9*T2^15 + 
      168*T1^10*T2^15 - 77*T1^11*T2^15 - 77*T1^12*T2^15 + 168*T1^13*T2^15 - 
      119*T1^14*T2^15 + 42*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 
      7*T1^9*T2^16 + 24*T1^10*T2^16 - 48*T1^11*T2^16 + 59*T1^12*T2^16 - 
      48*T1^13*T2^16 + 24*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 114] -> 
  {-(((1 - T + T^2)*(4 - 17*T + 25*T^2 - 17*T^3 + 4*T^4))/T^3), 
   (-2*(66 - 344*T1 + 745*T1^2 - 953*T1^3 + 745*T1^4 - 344*T1^5 + 66*T1^6 - 
      344*T2 + 1456*T1*T2 - 2113*T1^2*T2 + 1098*T1^3*T2 + 1098*T1^4*T2 - 
      2113*T1^5*T2 + 1456*T1^6*T2 - 344*T1^7*T2 + 745*T2^2 - 2113*T1*T2^2 - 
      162*T1^2*T2^2 + 5757*T1^3*T2^2 - 9350*T1^4*T2^2 + 5757*T1^5*T2^2 - 
      162*T1^6*T2^2 - 2113*T1^7*T2^2 + 745*T1^8*T2^2 - 953*T2^3 + 
      1098*T1*T2^3 + 5757*T1^2*T2^3 - 11497*T1^3*T2^3 + 6867*T1^4*T2^3 + 
      6867*T1^5*T2^3 - 11497*T1^6*T2^3 + 5757*T1^7*T2^3 + 1098*T1^8*T2^3 - 
      953*T1^9*T2^3 + 745*T2^4 + 1098*T1*T2^4 - 9350*T1^2*T2^4 + 
      6867*T1^3*T2^4 + 8020*T1^4*T2^4 - 19804*T1^5*T2^4 + 8020*T1^6*T2^4 + 
      6867*T1^7*T2^4 - 9350*T1^8*T2^4 + 1098*T1^9*T2^4 + 745*T1^10*T2^4 - 
      344*T2^5 - 2113*T1*T2^5 + 5757*T1^2*T2^5 + 6867*T1^3*T2^5 - 
      19804*T1^4*T2^5 + 13360*T1^5*T2^5 + 13360*T1^6*T2^5 - 19804*T1^7*T2^5 + 
      6867*T1^8*T2^5 + 5757*T1^9*T2^5 - 2113*T1^10*T2^5 - 344*T1^11*T2^5 + 
      66*T2^6 + 1456*T1*T2^6 - 162*T1^2*T2^6 - 11497*T1^3*T2^6 + 
      8020*T1^4*T2^6 + 13360*T1^5*T2^6 - 30936*T1^6*T2^6 + 13360*T1^7*T2^6 + 
      8020*T1^8*T2^6 - 11497*T1^9*T2^6 - 162*T1^10*T2^6 + 1456*T1^11*T2^6 + 
      66*T1^12*T2^6 - 344*T1*T2^7 - 2113*T1^2*T2^7 + 5757*T1^3*T2^7 + 
      6867*T1^4*T2^7 - 19804*T1^5*T2^7 + 13360*T1^6*T2^7 + 13360*T1^7*T2^7 - 
      19804*T1^8*T2^7 + 6867*T1^9*T2^7 + 5757*T1^10*T2^7 - 2113*T1^11*T2^7 - 
      344*T1^12*T2^7 + 745*T1^2*T2^8 + 1098*T1^3*T2^8 - 9350*T1^4*T2^8 + 
      6867*T1^5*T2^8 + 8020*T1^6*T2^8 - 19804*T1^7*T2^8 + 8020*T1^8*T2^8 + 
      6867*T1^9*T2^8 - 9350*T1^10*T2^8 + 1098*T1^11*T2^8 + 745*T1^12*T2^8 - 
      953*T1^3*T2^9 + 1098*T1^4*T2^9 + 5757*T1^5*T2^9 - 11497*T1^6*T2^9 + 
      6867*T1^7*T2^9 + 6867*T1^8*T2^9 - 11497*T1^9*T2^9 + 5757*T1^10*T2^9 + 
      1098*T1^11*T2^9 - 953*T1^12*T2^9 + 745*T1^4*T2^10 - 2113*T1^5*T2^10 - 
      162*T1^6*T2^10 + 5757*T1^7*T2^10 - 9350*T1^8*T2^10 + 5757*T1^9*T2^10 - 
      162*T1^10*T2^10 - 2113*T1^11*T2^10 + 745*T1^12*T2^10 - 344*T1^5*T2^11 + 
      1456*T1^6*T2^11 - 2113*T1^7*T2^11 + 1098*T1^8*T2^11 + 1098*T1^9*T2^11 - 
      2113*T1^10*T2^11 + 1456*T1^11*T2^11 - 344*T1^12*T2^11 + 66*T1^6*T2^12 - 
      344*T1^7*T2^12 + 745*T1^8*T2^12 - 953*T1^9*T2^12 + 745*T1^10*T2^12 - 
      344*T1^11*T2^12 + 66*T1^12*T2^12))/(T1^6*T2^6)}, 
 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, 
   (10*T1 - 23*T1^2 + 32*T1^3 - 23*T1^4 + 10*T1^5 + 10*T2 - 76*T1*T2 + 
     95*T1^2*T2 - 58*T1^3*T2 - 58*T1^4*T2 + 95*T1^5*T2 - 76*T1^6*T2 + 
     10*T1^7*T2 - 23*T2^2 + 95*T1*T2^2 + 219*T1^2*T2^2 - 624*T1^3*T2^2 + 
     951*T1^4*T2^2 - 624*T1^5*T2^2 + 219*T1^6*T2^2 + 95*T1^7*T2^2 - 
     23*T1^8*T2^2 + 32*T2^3 - 58*T1*T2^3 - 624*T1^2*T2^3 + 782*T1^3*T2^3 - 
     583*T1^4*T2^3 - 583*T1^5*T2^3 + 782*T1^6*T2^3 - 624*T1^7*T2^3 - 
     58*T1^8*T2^3 + 32*T1^9*T2^3 - 23*T2^4 - 58*T1*T2^4 + 951*T1^2*T2^4 - 
     583*T1^3*T2^4 + 511*T1^4*T2^4 + 393*T1^5*T2^4 + 511*T1^6*T2^4 - 
     583*T1^7*T2^4 + 951*T1^8*T2^4 - 58*T1^9*T2^4 - 23*T1^10*T2^4 + 10*T2^5 + 
     95*T1*T2^5 - 624*T1^2*T2^5 - 583*T1^3*T2^5 + 393*T1^4*T2^5 - 
     872*T1^5*T2^5 - 872*T1^6*T2^5 + 393*T1^7*T2^5 - 583*T1^8*T2^5 - 
     624*T1^9*T2^5 + 95*T1^10*T2^5 + 10*T1^11*T2^5 - 76*T1*T2^6 + 
     219*T1^2*T2^6 + 782*T1^3*T2^6 + 511*T1^4*T2^6 - 872*T1^5*T2^6 + 
     2556*T1^6*T2^6 - 872*T1^7*T2^6 + 511*T1^8*T2^6 + 782*T1^9*T2^6 + 
     219*T1^10*T2^6 - 76*T1^11*T2^6 + 10*T1*T2^7 + 95*T1^2*T2^7 - 
     624*T1^3*T2^7 - 583*T1^4*T2^7 + 393*T1^5*T2^7 - 872*T1^6*T2^7 - 
     872*T1^7*T2^7 + 393*T1^8*T2^7 - 583*T1^9*T2^7 - 624*T1^10*T2^7 + 
     95*T1^11*T2^7 + 10*T1^12*T2^7 - 23*T1^2*T2^8 - 58*T1^3*T2^8 + 
     951*T1^4*T2^8 - 583*T1^5*T2^8 + 511*T1^6*T2^8 + 393*T1^7*T2^8 + 
     511*T1^8*T2^8 - 583*T1^9*T2^8 + 951*T1^10*T2^8 - 58*T1^11*T2^8 - 
     23*T1^12*T2^8 + 32*T1^3*T2^9 - 58*T1^4*T2^9 - 624*T1^5*T2^9 + 
     782*T1^6*T2^9 - 583*T1^7*T2^9 - 583*T1^8*T2^9 + 782*T1^9*T2^9 - 
     624*T1^10*T2^9 - 58*T1^11*T2^9 + 32*T1^12*T2^9 - 23*T1^4*T2^10 + 
     95*T1^5*T2^10 + 219*T1^6*T2^10 - 624*T1^7*T2^10 + 951*T1^8*T2^10 - 
     624*T1^9*T2^10 + 219*T1^10*T2^10 + 95*T1^11*T2^10 - 23*T1^12*T2^10 + 
     10*T1^5*T2^11 - 76*T1^6*T2^11 + 95*T1^7*T2^11 - 58*T1^8*T2^11 - 
     58*T1^9*T2^11 + 95*T1^10*T2^11 - 76*T1^11*T2^11 + 10*T1^12*T2^11 + 
     10*T1^7*T2^12 - 23*T1^8*T2^12 + 32*T1^9*T2^12 - 23*T1^10*T2^12 + 
     10*T1^11*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 116] -> 
  {-(((1 - T + T^2)^2*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^4), 
   (1 - 7*T1 + 20*T1^2 - 36*T1^3 + 43*T1^4 - 36*T1^5 + 20*T1^6 - 7*T1^7 + 
     T1^8 - 7*T2 + 42*T1*T2 - 91*T1^2*T2 + 112*T1^3*T2 - 49*T1^4*T2 - 
     49*T1^5*T2 + 112*T1^6*T2 - 91*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 
     20*T2^2 - 91*T1*T2^2 + 82*T1^2*T2^2 + 105*T1^3*T2^2 - 482*T1^4*T2^2 + 
     646*T1^5*T2^2 - 482*T1^6*T2^2 + 105*T1^7*T2^2 + 82*T1^8*T2^2 - 
     91*T1^9*T2^2 + 20*T1^10*T2^2 - 36*T2^3 + 112*T1*T2^3 + 105*T1^2*T2^3 - 
     540*T1^3*T2^3 + 947*T1^4*T2^3 - 427*T1^5*T2^3 - 427*T1^6*T2^3 + 
     947*T1^7*T2^3 - 540*T1^8*T2^3 + 105*T1^9*T2^3 + 112*T1^10*T2^3 - 
     36*T1^11*T2^3 + 43*T2^4 - 49*T1*T2^4 - 482*T1^2*T2^4 + 947*T1^3*T2^4 - 
     903*T1^4*T2^4 - 627*T1^5*T2^4 + 1305*T1^6*T2^4 - 627*T1^7*T2^4 - 
     903*T1^8*T2^4 + 947*T1^9*T2^4 - 482*T1^10*T2^4 - 49*T1^11*T2^4 + 
     43*T1^12*T2^4 - 36*T2^5 - 49*T1*T2^5 + 646*T1^2*T2^5 - 427*T1^3*T2^5 - 
     627*T1^4*T2^5 + 2586*T1^5*T2^5 - 1285*T1^6*T2^5 - 1285*T1^7*T2^5 + 
     2586*T1^8*T2^5 - 627*T1^9*T2^5 - 427*T1^10*T2^5 + 646*T1^11*T2^5 - 
     49*T1^12*T2^5 - 36*T1^13*T2^5 + 20*T2^6 + 112*T1*T2^6 - 482*T1^2*T2^6 - 
     427*T1^3*T2^6 + 1305*T1^4*T2^6 - 1285*T1^5*T2^6 - 3102*T1^6*T2^6 + 
     5268*T1^7*T2^6 - 3102*T1^8*T2^6 - 1285*T1^9*T2^6 + 1305*T1^10*T2^6 - 
     427*T1^11*T2^6 - 482*T1^12*T2^6 + 112*T1^13*T2^6 + 20*T1^14*T2^6 - 
     7*T2^7 - 91*T1*T2^7 + 105*T1^2*T2^7 + 947*T1^3*T2^7 - 627*T1^4*T2^7 - 
     1285*T1^5*T2^7 + 5268*T1^6*T2^7 - 2778*T1^7*T2^7 - 2778*T1^8*T2^7 + 
     5268*T1^9*T2^7 - 1285*T1^10*T2^7 - 627*T1^11*T2^7 + 947*T1^12*T2^7 + 
     105*T1^13*T2^7 - 91*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 
     82*T1^2*T2^8 - 540*T1^3*T2^8 - 903*T1^4*T2^8 + 2586*T1^5*T2^8 - 
     3102*T1^6*T2^8 - 2778*T1^7*T2^8 + 5940*T1^8*T2^8 - 2778*T1^9*T2^8 - 
     3102*T1^10*T2^8 + 2586*T1^11*T2^8 - 903*T1^12*T2^8 - 540*T1^13*T2^8 + 
     82*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 91*T1^2*T2^9 + 
     105*T1^3*T2^9 + 947*T1^4*T2^9 - 627*T1^5*T2^9 - 1285*T1^6*T2^9 + 
     5268*T1^7*T2^9 - 2778*T1^8*T2^9 - 2778*T1^9*T2^9 + 5268*T1^10*T2^9 - 
     1285*T1^11*T2^9 - 627*T1^12*T2^9 + 947*T1^13*T2^9 + 105*T1^14*T2^9 - 
     91*T1^15*T2^9 - 7*T1^16*T2^9 + 20*T1^2*T2^10 + 112*T1^3*T2^10 - 
     482*T1^4*T2^10 - 427*T1^5*T2^10 + 1305*T1^6*T2^10 - 1285*T1^7*T2^10 - 
     3102*T1^8*T2^10 + 5268*T1^9*T2^10 - 3102*T1^10*T2^10 - 
     1285*T1^11*T2^10 + 1305*T1^12*T2^10 - 427*T1^13*T2^10 - 
     482*T1^14*T2^10 + 112*T1^15*T2^10 + 20*T1^16*T2^10 - 36*T1^3*T2^11 - 
     49*T1^4*T2^11 + 646*T1^5*T2^11 - 427*T1^6*T2^11 - 627*T1^7*T2^11 + 
     2586*T1^8*T2^11 - 1285*T1^9*T2^11 - 1285*T1^10*T2^11 + 
     2586*T1^11*T2^11 - 627*T1^12*T2^11 - 427*T1^13*T2^11 + 646*T1^14*T2^11 - 
     49*T1^15*T2^11 - 36*T1^16*T2^11 + 43*T1^4*T2^12 - 49*T1^5*T2^12 - 
     482*T1^6*T2^12 + 947*T1^7*T2^12 - 903*T1^8*T2^12 - 627*T1^9*T2^12 + 
     1305*T1^10*T2^12 - 627*T1^11*T2^12 - 903*T1^12*T2^12 + 947*T1^13*T2^12 - 
     482*T1^14*T2^12 - 49*T1^15*T2^12 + 43*T1^16*T2^12 - 36*T1^5*T2^13 + 
     112*T1^6*T2^13 + 105*T1^7*T2^13 - 540*T1^8*T2^13 + 947*T1^9*T2^13 - 
     427*T1^10*T2^13 - 427*T1^11*T2^13 + 947*T1^12*T2^13 - 540*T1^13*T2^13 + 
     105*T1^14*T2^13 + 112*T1^15*T2^13 - 36*T1^16*T2^13 + 20*T1^6*T2^14 - 
     91*T1^7*T2^14 + 82*T1^8*T2^14 + 105*T1^9*T2^14 - 482*T1^10*T2^14 + 
     646*T1^11*T2^14 - 482*T1^12*T2^14 + 105*T1^13*T2^14 + 82*T1^14*T2^14 - 
     91*T1^15*T2^14 + 20*T1^16*T2^14 - 7*T1^7*T2^15 + 42*T1^8*T2^15 - 
     91*T1^9*T2^15 + 112*T1^10*T2^15 - 49*T1^11*T2^15 - 49*T1^12*T2^15 + 
     112*T1^13*T2^15 - 91*T1^14*T2^15 + 42*T1^15*T2^15 - 7*T1^16*T2^15 + 
     T1^8*T2^16 - 7*T1^9*T2^16 + 20*T1^10*T2^16 - 36*T1^11*T2^16 + 
     43*T1^12*T2^16 - 36*T1^13*T2^16 + 20*T1^14*T2^16 - 7*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, Knot[12, Alternating, 117] -> 
  {-(((1 - T + T^2)*(4 - 17*T + 25*T^2 - 17*T^3 + 4*T^4))/T^3), 
   (-2*(66 - 344*T1 + 746*T1^2 - 955*T1^3 + 746*T1^4 - 344*T1^5 + 66*T1^6 - 
      344*T2 + 1454*T1*T2 - 2111*T1^2*T2 + 1098*T1^3*T2 + 1098*T1^4*T2 - 
      2111*T1^5*T2 + 1454*T1^6*T2 - 344*T1^7*T2 + 746*T2^2 - 2111*T1*T2^2 - 
      164*T1^2*T2^2 + 5757*T1^3*T2^2 - 9352*T1^4*T2^2 + 5757*T1^5*T2^2 - 
      164*T1^6*T2^2 - 2111*T1^7*T2^2 + 746*T1^8*T2^2 - 955*T2^3 + 
      1098*T1*T2^3 + 5757*T1^2*T2^3 - 11497*T1^3*T2^3 + 6869*T1^4*T2^3 + 
      6869*T1^5*T2^3 - 11497*T1^6*T2^3 + 5757*T1^7*T2^3 + 1098*T1^8*T2^3 - 
      955*T1^9*T2^3 + 746*T2^4 + 1098*T1*T2^4 - 9352*T1^2*T2^4 + 
      6869*T1^3*T2^4 + 8020*T1^4*T2^4 - 19806*T1^5*T2^4 + 8020*T1^6*T2^4 + 
      6869*T1^7*T2^4 - 9352*T1^8*T2^4 + 1098*T1^9*T2^4 + 746*T1^10*T2^4 - 
      344*T2^5 - 2111*T1*T2^5 + 5757*T1^2*T2^5 + 6869*T1^3*T2^5 - 
      19806*T1^4*T2^5 + 13358*T1^5*T2^5 + 13358*T1^6*T2^5 - 19806*T1^7*T2^5 + 
      6869*T1^8*T2^5 + 5757*T1^9*T2^5 - 2111*T1^10*T2^5 - 344*T1^11*T2^5 + 
      66*T2^6 + 1454*T1*T2^6 - 164*T1^2*T2^6 - 11497*T1^3*T2^6 + 
      8020*T1^4*T2^6 + 13358*T1^5*T2^6 - 30924*T1^6*T2^6 + 13358*T1^7*T2^6 + 
      8020*T1^8*T2^6 - 11497*T1^9*T2^6 - 164*T1^10*T2^6 + 1454*T1^11*T2^6 + 
      66*T1^12*T2^6 - 344*T1*T2^7 - 2111*T1^2*T2^7 + 5757*T1^3*T2^7 + 
      6869*T1^4*T2^7 - 19806*T1^5*T2^7 + 13358*T1^6*T2^7 + 13358*T1^7*T2^7 - 
      19806*T1^8*T2^7 + 6869*T1^9*T2^7 + 5757*T1^10*T2^7 - 2111*T1^11*T2^7 - 
      344*T1^12*T2^7 + 746*T1^2*T2^8 + 1098*T1^3*T2^8 - 9352*T1^4*T2^8 + 
      6869*T1^5*T2^8 + 8020*T1^6*T2^8 - 19806*T1^7*T2^8 + 8020*T1^8*T2^8 + 
      6869*T1^9*T2^8 - 9352*T1^10*T2^8 + 1098*T1^11*T2^8 + 746*T1^12*T2^8 - 
      955*T1^3*T2^9 + 1098*T1^4*T2^9 + 5757*T1^5*T2^9 - 11497*T1^6*T2^9 + 
      6869*T1^7*T2^9 + 6869*T1^8*T2^9 - 11497*T1^9*T2^9 + 5757*T1^10*T2^9 + 
      1098*T1^11*T2^9 - 955*T1^12*T2^9 + 746*T1^4*T2^10 - 2111*T1^5*T2^10 - 
      164*T1^6*T2^10 + 5757*T1^7*T2^10 - 9352*T1^8*T2^10 + 5757*T1^9*T2^10 - 
      164*T1^10*T2^10 - 2111*T1^11*T2^10 + 746*T1^12*T2^10 - 344*T1^5*T2^11 + 
      1454*T1^6*T2^11 - 2111*T1^7*T2^11 + 1098*T1^8*T2^11 + 1098*T1^9*T2^11 - 
      2111*T1^10*T2^11 + 1454*T1^11*T2^11 - 344*T1^12*T2^11 + 66*T1^6*T2^12 - 
      344*T1^7*T2^12 + 746*T1^8*T2^12 - 955*T1^9*T2^12 + 746*T1^10*T2^12 - 
      344*T1^11*T2^12 + 66*T1^12*T2^12))/(T1^6*T2^6)}, 
 Knot[12, Alternating, 118] -> 
  {-((2 - 13*T + 32*T^2 - 43*T^3 + 32*T^4 - 13*T^5 + 2*T^6)/T^3), 
   (1 - 7*T1 + 18*T1^2 - 25*T1^3 + 18*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
     42*T1*T2 - 77*T1^2*T2 + 49*T1^3*T2 + 49*T1^4*T2 - 77*T1^5*T2 + 
     42*T1^6*T2 - 7*T1^7*T2 + 18*T2^2 - 77*T1*T2^2 + 22*T1^2*T2^2 + 
     224*T1^3*T2^2 - 458*T1^4*T2^2 + 224*T1^5*T2^2 + 22*T1^6*T2^2 - 
     77*T1^7*T2^2 + 18*T1^8*T2^2 - 25*T2^3 + 49*T1*T2^3 + 224*T1^2*T2^3 - 
     554*T1^3*T2^3 + 460*T1^4*T2^3 + 460*T1^5*T2^3 - 554*T1^6*T2^3 + 
     224*T1^7*T2^3 + 49*T1^8*T2^3 - 25*T1^9*T2^3 + 18*T2^4 + 49*T1*T2^4 - 
     458*T1^2*T2^4 + 460*T1^3*T2^4 + 79*T1^4*T2^4 - 1063*T1^5*T2^4 + 
     79*T1^6*T2^4 + 460*T1^7*T2^4 - 458*T1^8*T2^4 + 49*T1^9*T2^4 + 
     18*T1^10*T2^4 - 7*T2^5 - 77*T1*T2^5 + 224*T1^2*T2^5 + 460*T1^3*T2^5 - 
     1063*T1^4*T2^5 + 1124*T1^5*T2^5 + 1124*T1^6*T2^5 - 1063*T1^7*T2^5 + 
     460*T1^8*T2^5 + 224*T1^9*T2^5 - 77*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
     42*T1*T2^6 + 22*T1^2*T2^6 - 554*T1^3*T2^6 + 79*T1^4*T2^6 + 
     1124*T1^5*T2^6 - 3012*T1^6*T2^6 + 1124*T1^7*T2^6 + 79*T1^8*T2^6 - 
     554*T1^9*T2^6 + 22*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 7*T1*T2^7 - 
     77*T1^2*T2^7 + 224*T1^3*T2^7 + 460*T1^4*T2^7 - 1063*T1^5*T2^7 + 
     1124*T1^6*T2^7 + 1124*T1^7*T2^7 - 1063*T1^8*T2^7 + 460*T1^9*T2^7 + 
     224*T1^10*T2^7 - 77*T1^11*T2^7 - 7*T1^12*T2^7 + 18*T1^2*T2^8 + 
     49*T1^3*T2^8 - 458*T1^4*T2^8 + 460*T1^5*T2^8 + 79*T1^6*T2^8 - 
     1063*T1^7*T2^8 + 79*T1^8*T2^8 + 460*T1^9*T2^8 - 458*T1^10*T2^8 + 
     49*T1^11*T2^8 + 18*T1^12*T2^8 - 25*T1^3*T2^9 + 49*T1^4*T2^9 + 
     224*T1^5*T2^9 - 554*T1^6*T2^9 + 460*T1^7*T2^9 + 460*T1^8*T2^9 - 
     554*T1^9*T2^9 + 224*T1^10*T2^9 + 49*T1^11*T2^9 - 25*T1^12*T2^9 + 
     18*T1^4*T2^10 - 77*T1^5*T2^10 + 22*T1^6*T2^10 + 224*T1^7*T2^10 - 
     458*T1^8*T2^10 + 224*T1^9*T2^10 + 22*T1^10*T2^10 - 77*T1^11*T2^10 + 
     18*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 77*T1^7*T2^11 + 
     49*T1^8*T2^11 + 49*T1^9*T2^11 - 77*T1^10*T2^11 + 42*T1^11*T2^11 - 
     7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 18*T1^8*T2^12 - 
     25*T1^9*T2^12 + 18*T1^10*T2^12 - 7*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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)*
     (2 - 12*T1 + 30*T1^2 - 38*T1^3 + 30*T1^4 - 12*T1^5 + 2*T1^6 - 12*T2 + 
      60*T1*T2 - 108*T1^2*T2 + 48*T1^3*T2 + 48*T1^4*T2 - 108*T1^5*T2 + 
      60*T1^6*T2 - 12*T1^7*T2 + 30*T2^2 - 108*T1*T2^2 + 53*T1^2*T2^2 + 
      314*T1^3*T2^2 - 451*T1^4*T2^2 + 314*T1^5*T2^2 + 53*T1^6*T2^2 - 
      108*T1^7*T2^2 + 30*T1^8*T2^2 - 38*T2^3 + 48*T1*T2^3 + 314*T1^2*T2^3 - 
      900*T1^3*T2^3 + 378*T1^4*T2^3 + 378*T1^5*T2^3 - 900*T1^6*T2^3 + 
      314*T1^7*T2^3 + 48*T1^8*T2^3 - 38*T1^9*T2^3 + 30*T2^4 + 48*T1*T2^4 - 
      451*T1^2*T2^4 + 378*T1^3*T2^4 + 1429*T1^4*T2^4 - 2049*T1^5*T2^4 + 
      1429*T1^6*T2^4 + 378*T1^7*T2^4 - 451*T1^8*T2^4 + 48*T1^9*T2^4 + 
      30*T1^10*T2^4 - 12*T2^5 - 108*T1*T2^5 + 314*T1^2*T2^5 + 378*T1^3*T2^5 - 
      2049*T1^4*T2^5 + 868*T1^5*T2^5 + 868*T1^6*T2^5 - 2049*T1^7*T2^5 + 
      378*T1^8*T2^5 + 314*T1^9*T2^5 - 108*T1^10*T2^5 - 12*T1^11*T2^5 + 
      2*T2^6 + 60*T1*T2^6 + 53*T1^2*T2^6 - 900*T1^3*T2^6 + 1429*T1^4*T2^6 + 
      868*T1^5*T2^6 - 1644*T1^6*T2^6 + 868*T1^7*T2^6 + 1429*T1^8*T2^6 - 
      900*T1^9*T2^6 + 53*T1^10*T2^6 + 60*T1^11*T2^6 + 2*T1^12*T2^6 - 
      12*T1*T2^7 - 108*T1^2*T2^7 + 314*T1^3*T2^7 + 378*T1^4*T2^7 - 
      2049*T1^5*T2^7 + 868*T1^6*T2^7 + 868*T1^7*T2^7 - 2049*T1^8*T2^7 + 
      378*T1^9*T2^7 + 314*T1^10*T2^7 - 108*T1^11*T2^7 - 12*T1^12*T2^7 + 
      30*T1^2*T2^8 + 48*T1^3*T2^8 - 451*T1^4*T2^8 + 378*T1^5*T2^8 + 
      1429*T1^6*T2^8 - 2049*T1^7*T2^8 + 1429*T1^8*T2^8 + 378*T1^9*T2^8 - 
      451*T1^10*T2^8 + 48*T1^11*T2^8 + 30*T1^12*T2^8 - 38*T1^3*T2^9 + 
      48*T1^4*T2^9 + 314*T1^5*T2^9 - 900*T1^6*T2^9 + 378*T1^7*T2^9 + 
      378*T1^8*T2^9 - 900*T1^9*T2^9 + 314*T1^10*T2^9 + 48*T1^11*T2^9 - 
      38*T1^12*T2^9 + 30*T1^4*T2^10 - 108*T1^5*T2^10 + 53*T1^6*T2^10 + 
      314*T1^7*T2^10 - 451*T1^8*T2^10 + 314*T1^9*T2^10 + 53*T1^10*T2^10 - 
      108*T1^11*T2^10 + 30*T1^12*T2^10 - 12*T1^5*T2^11 + 60*T1^6*T2^11 - 
      108*T1^7*T2^11 + 48*T1^8*T2^11 + 48*T1^9*T2^11 - 108*T1^10*T2^11 + 
      60*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))/(T1^8*T2^8)}, 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), -((1 - 8*T1 + 26*T1^2 - 51*T1^3 + 63*T1^4 - 51*T1^5 + 26*T1^6 - 
      8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 144*T1^2*T2 + 200*T1^3*T2 - 
      96*T1^4*T2 - 96*T1^5*T2 + 200*T1^6*T2 - 144*T1^7*T2 + 56*T1^8*T2 - 
      8*T1^9*T2 + 26*T2^2 - 144*T1*T2^2 + 196*T1^2*T2^2 + 105*T1^3*T2^2 - 
      894*T1^4*T2^2 + 1308*T1^5*T2^2 - 894*T1^6*T2^2 + 105*T1^7*T2^2 + 
      196*T1^8*T2^2 - 144*T1^9*T2^2 + 26*T1^10*T2^2 - 51*T2^3 + 200*T1*T2^3 + 
      105*T1^2*T2^3 - 1112*T1^3*T2^3 + 2264*T1^4*T2^3 - 1155*T1^5*T2^3 - 
      1155*T1^6*T2^3 + 2264*T1^7*T2^3 - 1112*T1^8*T2^3 + 105*T1^9*T2^3 + 
      200*T1^10*T2^3 - 51*T1^11*T2^3 + 63*T2^4 - 96*T1*T2^4 - 894*T1^2*T2^4 + 
      2264*T1^3*T2^4 - 2366*T1^4*T2^4 - 1720*T1^5*T2^4 + 3942*T1^6*T2^4 - 
      1720*T1^7*T2^4 - 2366*T1^8*T2^4 + 2264*T1^9*T2^4 - 894*T1^10*T2^4 - 
      96*T1^11*T2^4 + 63*T1^12*T2^4 - 51*T2^5 - 96*T1*T2^5 + 1308*T1^2*T2^5 - 
      1155*T1^3*T2^5 - 1720*T1^4*T2^5 + 7480*T1^5*T2^5 - 3966*T1^6*T2^5 - 
      3966*T1^7*T2^5 + 7480*T1^8*T2^5 - 1720*T1^9*T2^5 - 1155*T1^10*T2^5 + 
      1308*T1^11*T2^5 - 96*T1^12*T2^5 - 51*T1^13*T2^5 + 26*T2^6 + 
      200*T1*T2^6 - 894*T1^2*T2^6 - 1155*T1^3*T2^6 + 3942*T1^4*T2^6 - 
      3966*T1^5*T2^6 - 9644*T1^6*T2^6 + 16552*T1^7*T2^6 - 9644*T1^8*T2^6 - 
      3966*T1^9*T2^6 + 3942*T1^10*T2^6 - 1155*T1^11*T2^6 - 894*T1^12*T2^6 + 
      200*T1^13*T2^6 + 26*T1^14*T2^6 - 8*T2^7 - 144*T1*T2^7 + 105*T1^2*T2^7 + 
      2264*T1^3*T2^7 - 1720*T1^4*T2^7 - 3966*T1^5*T2^7 + 16552*T1^6*T2^7 - 
      8562*T1^7*T2^7 - 8562*T1^8*T2^7 + 16552*T1^9*T2^7 - 3966*T1^10*T2^7 - 
      1720*T1^11*T2^7 + 2264*T1^12*T2^7 + 105*T1^13*T2^7 - 144*T1^14*T2^7 - 
      8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 196*T1^2*T2^8 - 1112*T1^3*T2^8 - 
      2366*T1^4*T2^8 + 7480*T1^5*T2^8 - 9644*T1^6*T2^8 - 8562*T1^7*T2^8 + 
      17784*T1^8*T2^8 - 8562*T1^9*T2^8 - 9644*T1^10*T2^8 + 7480*T1^11*T2^8 - 
      2366*T1^12*T2^8 - 1112*T1^13*T2^8 + 196*T1^14*T2^8 + 56*T1^15*T2^8 + 
      T1^16*T2^8 - 8*T1*T2^9 - 144*T1^2*T2^9 + 105*T1^3*T2^9 + 
      2264*T1^4*T2^9 - 1720*T1^5*T2^9 - 3966*T1^6*T2^9 + 16552*T1^7*T2^9 - 
      8562*T1^8*T2^9 - 8562*T1^9*T2^9 + 16552*T1^10*T2^9 - 3966*T1^11*T2^9 - 
      1720*T1^12*T2^9 + 2264*T1^13*T2^9 + 105*T1^14*T2^9 - 144*T1^15*T2^9 - 
      8*T1^16*T2^9 + 26*T1^2*T2^10 + 200*T1^3*T2^10 - 894*T1^4*T2^10 - 
      1155*T1^5*T2^10 + 3942*T1^6*T2^10 - 3966*T1^7*T2^10 - 9644*T1^8*T2^10 + 
      16552*T1^9*T2^10 - 9644*T1^10*T2^10 - 3966*T1^11*T2^10 + 
      3942*T1^12*T2^10 - 1155*T1^13*T2^10 - 894*T1^14*T2^10 + 
      200*T1^15*T2^10 + 26*T1^16*T2^10 - 51*T1^3*T2^11 - 96*T1^4*T2^11 + 
      1308*T1^5*T2^11 - 1155*T1^6*T2^11 - 1720*T1^7*T2^11 + 7480*T1^8*T2^11 - 
      3966*T1^9*T2^11 - 3966*T1^10*T2^11 + 7480*T1^11*T2^11 - 
      1720*T1^12*T2^11 - 1155*T1^13*T2^11 + 1308*T1^14*T2^11 - 
      96*T1^15*T2^11 - 51*T1^16*T2^11 + 63*T1^4*T2^12 - 96*T1^5*T2^12 - 
      894*T1^6*T2^12 + 2264*T1^7*T2^12 - 2366*T1^8*T2^12 - 1720*T1^9*T2^12 + 
      3942*T1^10*T2^12 - 1720*T1^11*T2^12 - 2366*T1^12*T2^12 + 
      2264*T1^13*T2^12 - 894*T1^14*T2^12 - 96*T1^15*T2^12 + 63*T1^16*T2^12 - 
      51*T1^5*T2^13 + 200*T1^6*T2^13 + 105*T1^7*T2^13 - 1112*T1^8*T2^13 + 
      2264*T1^9*T2^13 - 1155*T1^10*T2^13 - 1155*T1^11*T2^13 + 
      2264*T1^12*T2^13 - 1112*T1^13*T2^13 + 105*T1^14*T2^13 + 
      200*T1^15*T2^13 - 51*T1^16*T2^13 + 26*T1^6*T2^14 - 144*T1^7*T2^14 + 
      196*T1^8*T2^14 + 105*T1^9*T2^14 - 894*T1^10*T2^14 + 1308*T1^11*T2^14 - 
      894*T1^12*T2^14 + 105*T1^13*T2^14 + 196*T1^14*T2^14 - 144*T1^15*T2^14 + 
      26*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 144*T1^9*T2^15 + 
      200*T1^10*T2^15 - 96*T1^11*T2^15 - 96*T1^12*T2^15 + 200*T1^13*T2^15 - 
      144*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
      8*T1^9*T2^16 + 26*T1^10*T2^16 - 51*T1^11*T2^16 + 63*T1^12*T2^16 - 
      51*T1^13*T2^16 + 26*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 121] -> 
  {-((2 - 13*T + 33*T^2 - 45*T^3 + 33*T^4 - 13*T^5 + 2*T^6)/T^3), 
   (1 - 7*T1 + 18*T1^2 - 25*T1^3 + 18*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
     42*T1*T2 - 77*T1^2*T2 + 49*T1^3*T2 + 49*T1^4*T2 - 77*T1^5*T2 + 
     42*T1^6*T2 - 7*T1^7*T2 + 18*T2^2 - 77*T1*T2^2 + 16*T1^2*T2^2 + 
     255*T1^3*T2^2 - 506*T1^4*T2^2 + 255*T1^5*T2^2 + 16*T1^6*T2^2 - 
     77*T1^7*T2^2 + 18*T1^8*T2^2 - 25*T2^3 + 49*T1*T2^3 + 255*T1^2*T2^3 - 
     676*T1^3*T2^3 + 543*T1^4*T2^3 + 543*T1^5*T2^3 - 676*T1^6*T2^3 + 
     255*T1^7*T2^3 + 49*T1^8*T2^3 - 25*T1^9*T2^3 + 18*T2^4 + 49*T1*T2^4 - 
     506*T1^2*T2^4 + 543*T1^3*T2^4 + 423*T1^4*T2^4 - 1761*T1^5*T2^4 + 
     423*T1^6*T2^4 + 543*T1^7*T2^4 - 506*T1^8*T2^4 + 49*T1^9*T2^4 + 
     18*T1^10*T2^4 - 7*T2^5 - 77*T1*T2^5 + 255*T1^2*T2^5 + 543*T1^3*T2^5 - 
     1761*T1^4*T2^5 + 1646*T1^5*T2^5 + 1646*T1^6*T2^5 - 1761*T1^7*T2^5 + 
     543*T1^8*T2^5 + 255*T1^9*T2^5 - 77*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
     42*T1*T2^6 + 16*T1^2*T2^6 - 676*T1^3*T2^6 + 423*T1^4*T2^6 + 
     1646*T1^5*T2^6 - 4332*T1^6*T2^6 + 1646*T1^7*T2^6 + 423*T1^8*T2^6 - 
     676*T1^9*T2^6 + 16*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 7*T1*T2^7 - 
     77*T1^2*T2^7 + 255*T1^3*T2^7 + 543*T1^4*T2^7 - 1761*T1^5*T2^7 + 
     1646*T1^6*T2^7 + 1646*T1^7*T2^7 - 1761*T1^8*T2^7 + 543*T1^9*T2^7 + 
     255*T1^10*T2^7 - 77*T1^11*T2^7 - 7*T1^12*T2^7 + 18*T1^2*T2^8 + 
     49*T1^3*T2^8 - 506*T1^4*T2^8 + 543*T1^5*T2^8 + 423*T1^6*T2^8 - 
     1761*T1^7*T2^8 + 423*T1^8*T2^8 + 543*T1^9*T2^8 - 506*T1^10*T2^8 + 
     49*T1^11*T2^8 + 18*T1^12*T2^8 - 25*T1^3*T2^9 + 49*T1^4*T2^9 + 
     255*T1^5*T2^9 - 676*T1^6*T2^9 + 543*T1^7*T2^9 + 543*T1^8*T2^9 - 
     676*T1^9*T2^9 + 255*T1^10*T2^9 + 49*T1^11*T2^9 - 25*T1^12*T2^9 + 
     18*T1^4*T2^10 - 77*T1^5*T2^10 + 16*T1^6*T2^10 + 255*T1^7*T2^10 - 
     506*T1^8*T2^10 + 255*T1^9*T2^10 + 16*T1^10*T2^10 - 77*T1^11*T2^10 + 
     18*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 77*T1^7*T2^11 + 
     49*T1^8*T2^11 + 49*T1^9*T2^11 - 77*T1^10*T2^11 + 42*T1^11*T2^11 - 
     7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 18*T1^8*T2^12 - 
     25*T1^9*T2^12 + 18*T1^10*T2^12 - 7*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 122] -> 
  {-(((1 - T + T^2)^2*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^4), 
   (1 - 7*T1 + 20*T1^2 - 36*T1^3 + 43*T1^4 - 36*T1^5 + 20*T1^6 - 7*T1^7 + 
     T1^8 - 7*T2 + 42*T1*T2 - 91*T1^2*T2 + 112*T1^3*T2 - 49*T1^4*T2 - 
     49*T1^5*T2 + 112*T1^6*T2 - 91*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 
     20*T2^2 - 91*T1*T2^2 + 82*T1^2*T2^2 + 105*T1^3*T2^2 - 480*T1^4*T2^2 + 
     642*T1^5*T2^2 - 480*T1^6*T2^2 + 105*T1^7*T2^2 + 82*T1^8*T2^2 - 
     91*T1^9*T2^2 + 20*T1^10*T2^2 - 36*T2^3 + 112*T1*T2^3 + 105*T1^2*T2^3 - 
     544*T1^3*T2^3 + 951*T1^4*T2^3 - 427*T1^5*T2^3 - 427*T1^6*T2^3 + 
     951*T1^7*T2^3 - 544*T1^8*T2^3 + 105*T1^9*T2^3 + 112*T1^10*T2^3 - 
     36*T1^11*T2^3 + 43*T2^4 - 49*T1*T2^4 - 480*T1^2*T2^4 + 951*T1^3*T2^4 - 
     907*T1^4*T2^4 - 627*T1^5*T2^4 + 1301*T1^6*T2^4 - 627*T1^7*T2^4 - 
     907*T1^8*T2^4 + 951*T1^9*T2^4 - 480*T1^10*T2^4 - 49*T1^11*T2^4 + 
     43*T1^12*T2^4 - 36*T2^5 - 49*T1*T2^5 + 642*T1^2*T2^5 - 427*T1^3*T2^5 - 
     627*T1^4*T2^5 + 2586*T1^5*T2^5 - 1281*T1^6*T2^5 - 1281*T1^7*T2^5 + 
     2586*T1^8*T2^5 - 627*T1^9*T2^5 - 427*T1^10*T2^5 + 642*T1^11*T2^5 - 
     49*T1^12*T2^5 - 36*T1^13*T2^5 + 20*T2^6 + 112*T1*T2^6 - 480*T1^2*T2^6 - 
     427*T1^3*T2^6 + 1301*T1^4*T2^6 - 1281*T1^5*T2^6 - 3102*T1^6*T2^6 + 
     5264*T1^7*T2^6 - 3102*T1^8*T2^6 - 1281*T1^9*T2^6 + 1301*T1^10*T2^6 - 
     427*T1^11*T2^6 - 480*T1^12*T2^6 + 112*T1^13*T2^6 + 20*T1^14*T2^6 - 
     7*T2^7 - 91*T1*T2^7 + 105*T1^2*T2^7 + 951*T1^3*T2^7 - 627*T1^4*T2^7 - 
     1281*T1^5*T2^7 + 5264*T1^6*T2^7 - 2782*T1^7*T2^7 - 2782*T1^8*T2^7 + 
     5264*T1^9*T2^7 - 1281*T1^10*T2^7 - 627*T1^11*T2^7 + 951*T1^12*T2^7 + 
     105*T1^13*T2^7 - 91*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 
     82*T1^2*T2^8 - 544*T1^3*T2^8 - 907*T1^4*T2^8 + 2586*T1^5*T2^8 - 
     3102*T1^6*T2^8 - 2782*T1^7*T2^8 + 5964*T1^8*T2^8 - 2782*T1^9*T2^8 - 
     3102*T1^10*T2^8 + 2586*T1^11*T2^8 - 907*T1^12*T2^8 - 544*T1^13*T2^8 + 
     82*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 91*T1^2*T2^9 + 
     105*T1^3*T2^9 + 951*T1^4*T2^9 - 627*T1^5*T2^9 - 1281*T1^6*T2^9 + 
     5264*T1^7*T2^9 - 2782*T1^8*T2^9 - 2782*T1^9*T2^9 + 5264*T1^10*T2^9 - 
     1281*T1^11*T2^9 - 627*T1^12*T2^9 + 951*T1^13*T2^9 + 105*T1^14*T2^9 - 
     91*T1^15*T2^9 - 7*T1^16*T2^9 + 20*T1^2*T2^10 + 112*T1^3*T2^10 - 
     480*T1^4*T2^10 - 427*T1^5*T2^10 + 1301*T1^6*T2^10 - 1281*T1^7*T2^10 - 
     3102*T1^8*T2^10 + 5264*T1^9*T2^10 - 3102*T1^10*T2^10 - 
     1281*T1^11*T2^10 + 1301*T1^12*T2^10 - 427*T1^13*T2^10 - 
     480*T1^14*T2^10 + 112*T1^15*T2^10 + 20*T1^16*T2^10 - 36*T1^3*T2^11 - 
     49*T1^4*T2^11 + 642*T1^5*T2^11 - 427*T1^6*T2^11 - 627*T1^7*T2^11 + 
     2586*T1^8*T2^11 - 1281*T1^9*T2^11 - 1281*T1^10*T2^11 + 
     2586*T1^11*T2^11 - 627*T1^12*T2^11 - 427*T1^13*T2^11 + 642*T1^14*T2^11 - 
     49*T1^15*T2^11 - 36*T1^16*T2^11 + 43*T1^4*T2^12 - 49*T1^5*T2^12 - 
     480*T1^6*T2^12 + 951*T1^7*T2^12 - 907*T1^8*T2^12 - 627*T1^9*T2^12 + 
     1301*T1^10*T2^12 - 627*T1^11*T2^12 - 907*T1^12*T2^12 + 951*T1^13*T2^12 - 
     480*T1^14*T2^12 - 49*T1^15*T2^12 + 43*T1^16*T2^12 - 36*T1^5*T2^13 + 
     112*T1^6*T2^13 + 105*T1^7*T2^13 - 544*T1^8*T2^13 + 951*T1^9*T2^13 - 
     427*T1^10*T2^13 - 427*T1^11*T2^13 + 951*T1^12*T2^13 - 544*T1^13*T2^13 + 
     105*T1^14*T2^13 + 112*T1^15*T2^13 - 36*T1^16*T2^13 + 20*T1^6*T2^14 - 
     91*T1^7*T2^14 + 82*T1^8*T2^14 + 105*T1^9*T2^14 - 480*T1^10*T2^14 + 
     642*T1^11*T2^14 - 480*T1^12*T2^14 + 105*T1^13*T2^14 + 82*T1^14*T2^14 - 
     91*T1^15*T2^14 + 20*T1^16*T2^14 - 7*T1^7*T2^15 + 42*T1^8*T2^15 - 
     91*T1^9*T2^15 + 112*T1^10*T2^15 - 49*T1^11*T2^15 - 49*T1^12*T2^15 + 
     112*T1^13*T2^15 - 91*T1^14*T2^15 + 42*T1^15*T2^15 - 7*T1^16*T2^15 + 
     T1^8*T2^16 - 7*T1^9*T2^16 + 20*T1^10*T2^16 - 36*T1^11*T2^16 + 
     43*T1^12*T2^16 - 36*T1^13*T2^16 + 20*T1^14*T2^16 - 7*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, 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 + 84*T1*T2 - 168*T1^2*T2 + 154*T1^3*T2 - 70*T1^4*T2 - 
      70*T1^5*T2 + 154*T1^6*T2 - 168*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
      38*T2^2 - 168*T1*T2^2 + 78*T1^2*T2^2 + 443*T1^3*T2^2 - 872*T1^4*T2^2 + 
      1130*T1^5*T2^2 - 872*T1^6*T2^2 + 443*T1^7*T2^2 + 78*T1^8*T2^2 - 
      168*T1^9*T2^2 + 38*T1^10*T2^2 - 60*T2^3 + 154*T1*T2^3 + 443*T1^2*T2^3 - 
      1438*T1^3*T2^3 + 1277*T1^4*T2^3 - 670*T1^5*T2^3 - 670*T1^6*T2^3 + 
      1277*T1^7*T2^3 - 1438*T1^8*T2^3 + 443*T1^9*T2^3 + 154*T1^10*T2^3 - 
      60*T1^11*T2^3 + 70*T2^4 - 70*T1*T2^4 - 872*T1^2*T2^4 + 1277*T1^3*T2^4 + 
      644*T1^4*T2^4 - 1871*T1^5*T2^4 + 3040*T1^6*T2^4 - 1871*T1^7*T2^4 + 
      644*T1^8*T2^4 + 1277*T1^9*T2^4 - 872*T1^10*T2^4 - 70*T1^11*T2^4 + 
      70*T1^12*T2^4 - 60*T2^5 - 70*T1*T2^5 + 1130*T1^2*T2^5 - 670*T1^3*T2^5 - 
      1871*T1^4*T2^5 + 1586*T1^5*T2^5 - 1290*T1^6*T2^5 - 1290*T1^7*T2^5 + 
      1586*T1^8*T2^5 - 1871*T1^9*T2^5 - 670*T1^10*T2^5 + 1130*T1^11*T2^5 - 
      70*T1^12*T2^5 - 60*T1^13*T2^5 + 38*T2^6 + 154*T1*T2^6 - 872*T1^2*T2^6 - 
      670*T1^3*T2^6 + 3040*T1^4*T2^6 - 1290*T1^5*T2^6 + 917*T1^6*T2^6 + 
      943*T1^7*T2^6 + 917*T1^8*T2^6 - 1290*T1^9*T2^6 + 3040*T1^10*T2^6 - 
      670*T1^11*T2^6 - 872*T1^12*T2^6 + 154*T1^13*T2^6 + 38*T1^14*T2^6 - 
      14*T2^7 - 168*T1*T2^7 + 443*T1^2*T2^7 + 1277*T1^3*T2^7 - 
      1871*T1^4*T2^7 - 1290*T1^5*T2^7 + 943*T1^6*T2^7 - 1492*T1^7*T2^7 - 
      1492*T1^8*T2^7 + 943*T1^9*T2^7 - 1290*T1^10*T2^7 - 1871*T1^11*T2^7 + 
      1277*T1^12*T2^7 + 443*T1^13*T2^7 - 168*T1^14*T2^7 - 14*T1^15*T2^7 + 
      2*T2^8 + 84*T1*T2^8 + 78*T1^2*T2^8 - 1438*T1^3*T2^8 + 644*T1^4*T2^8 + 
      1586*T1^5*T2^8 + 917*T1^6*T2^8 - 1492*T1^7*T2^8 + 3852*T1^8*T2^8 - 
      1492*T1^9*T2^8 + 917*T1^10*T2^8 + 1586*T1^11*T2^8 + 644*T1^12*T2^8 - 
      1438*T1^13*T2^8 + 78*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 
      14*T1*T2^9 - 168*T1^2*T2^9 + 443*T1^3*T2^9 + 1277*T1^4*T2^9 - 
      1871*T1^5*T2^9 - 1290*T1^6*T2^9 + 943*T1^7*T2^9 - 1492*T1^8*T2^9 - 
      1492*T1^9*T2^9 + 943*T1^10*T2^9 - 1290*T1^11*T2^9 - 1871*T1^12*T2^9 + 
      1277*T1^13*T2^9 + 443*T1^14*T2^9 - 168*T1^15*T2^9 - 14*T1^16*T2^9 + 
      38*T1^2*T2^10 + 154*T1^3*T2^10 - 872*T1^4*T2^10 - 670*T1^5*T2^10 + 
      3040*T1^6*T2^10 - 1290*T1^7*T2^10 + 917*T1^8*T2^10 + 943*T1^9*T2^10 + 
      917*T1^10*T2^10 - 1290*T1^11*T2^10 + 3040*T1^12*T2^10 - 
      670*T1^13*T2^10 - 872*T1^14*T2^10 + 154*T1^15*T2^10 + 38*T1^16*T2^10 - 
      60*T1^3*T2^11 - 70*T1^4*T2^11 + 1130*T1^5*T2^11 - 670*T1^6*T2^11 - 
      1871*T1^7*T2^11 + 1586*T1^8*T2^11 - 1290*T1^9*T2^11 - 
      1290*T1^10*T2^11 + 1586*T1^11*T2^11 - 1871*T1^12*T2^11 - 
      670*T1^13*T2^11 + 1130*T1^14*T2^11 - 70*T1^15*T2^11 - 60*T1^16*T2^11 + 
      70*T1^4*T2^12 - 70*T1^5*T2^12 - 872*T1^6*T2^12 + 1277*T1^7*T2^12 + 
      644*T1^8*T2^12 - 1871*T1^9*T2^12 + 3040*T1^10*T2^12 - 
      1871*T1^11*T2^12 + 644*T1^12*T2^12 + 1277*T1^13*T2^12 - 
      872*T1^14*T2^12 - 70*T1^15*T2^12 + 70*T1^16*T2^12 - 60*T1^5*T2^13 + 
      154*T1^6*T2^13 + 443*T1^7*T2^13 - 1438*T1^8*T2^13 + 1277*T1^9*T2^13 - 
      670*T1^10*T2^13 - 670*T1^11*T2^13 + 1277*T1^12*T2^13 - 
      1438*T1^13*T2^13 + 443*T1^14*T2^13 + 154*T1^15*T2^13 - 60*T1^16*T2^13 + 
      38*T1^6*T2^14 - 168*T1^7*T2^14 + 78*T1^8*T2^14 + 443*T1^9*T2^14 - 
      872*T1^10*T2^14 + 1130*T1^11*T2^14 - 872*T1^12*T2^14 + 
      443*T1^13*T2^14 + 78*T1^14*T2^14 - 168*T1^15*T2^14 + 38*T1^16*T2^14 - 
      14*T1^7*T2^15 + 84*T1^8*T2^15 - 168*T1^9*T2^15 + 154*T1^10*T2^15 - 
      70*T1^11*T2^15 - 70*T1^12*T2^15 + 154*T1^13*T2^15 - 168*T1^14*T2^15 + 
      84*T1^15*T2^15 - 14*T1^16*T2^15 + 2*T1^8*T2^16 - 14*T1^9*T2^16 + 
      38*T1^10*T2^16 - 60*T1^11*T2^16 + 70*T1^12*T2^16 - 60*T1^13*T2^16 + 
      38*T1^14*T2^16 - 14*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 124] -> 
  {(2 - 14*T + 36*T^2 - 47*T^3 + 36*T^4 - 14*T^5 + 2*T^6)/T^3, 
   -((9 - 63*T1 + 162*T1^2 - 211*T1^3 + 162*T1^4 - 63*T1^5 + 9*T1^6 - 63*T2 + 
      378*T1*T2 - 693*T1^2*T2 + 343*T1^3*T2 + 343*T1^4*T2 - 693*T1^5*T2 + 
      378*T1^6*T2 - 63*T1^7*T2 + 162*T2^2 - 693*T1*T2^2 + 31*T1^2*T2^2 + 
      2859*T1^3*T2^2 - 4309*T1^4*T2^2 + 2859*T1^5*T2^2 + 31*T1^6*T2^2 - 
      693*T1^7*T2^2 + 162*T1^8*T2^2 - 211*T2^3 + 343*T1*T2^3 + 
      2859*T1^2*T2^3 - 7374*T1^3*T2^3 + 3710*T1^4*T2^3 + 3710*T1^5*T2^3 - 
      7374*T1^6*T2^3 + 2859*T1^7*T2^3 + 343*T1^8*T2^3 - 211*T1^9*T2^3 + 
      162*T2^4 + 343*T1*T2^4 - 4309*T1^2*T2^4 + 3710*T1^3*T2^4 + 
      9980*T1^4*T2^4 - 16908*T1^5*T2^4 + 9980*T1^6*T2^4 + 3710*T1^7*T2^4 - 
      4309*T1^8*T2^4 + 343*T1^9*T2^4 + 162*T1^10*T2^4 - 63*T2^5 - 
      693*T1*T2^5 + 2859*T1^2*T2^5 + 3710*T1^3*T2^5 - 16908*T1^4*T2^5 + 
      8934*T1^5*T2^5 + 8934*T1^6*T2^5 - 16908*T1^7*T2^5 + 3710*T1^8*T2^5 + 
      2859*T1^9*T2^5 - 693*T1^10*T2^5 - 63*T1^11*T2^5 + 9*T2^6 + 
      378*T1*T2^6 + 31*T1^2*T2^6 - 7374*T1^3*T2^6 + 9980*T1^4*T2^6 + 
      8934*T1^5*T2^6 - 18996*T1^6*T2^6 + 8934*T1^7*T2^6 + 9980*T1^8*T2^6 - 
      7374*T1^9*T2^6 + 31*T1^10*T2^6 + 378*T1^11*T2^6 + 9*T1^12*T2^6 - 
      63*T1*T2^7 - 693*T1^2*T2^7 + 2859*T1^3*T2^7 + 3710*T1^4*T2^7 - 
      16908*T1^5*T2^7 + 8934*T1^6*T2^7 + 8934*T1^7*T2^7 - 16908*T1^8*T2^7 + 
      3710*T1^9*T2^7 + 2859*T1^10*T2^7 - 693*T1^11*T2^7 - 63*T1^12*T2^7 + 
      162*T1^2*T2^8 + 343*T1^3*T2^8 - 4309*T1^4*T2^8 + 3710*T1^5*T2^8 + 
      9980*T1^6*T2^8 - 16908*T1^7*T2^8 + 9980*T1^8*T2^8 + 3710*T1^9*T2^8 - 
      4309*T1^10*T2^8 + 343*T1^11*T2^8 + 162*T1^12*T2^8 - 211*T1^3*T2^9 + 
      343*T1^4*T2^9 + 2859*T1^5*T2^9 - 7374*T1^6*T2^9 + 3710*T1^7*T2^9 + 
      3710*T1^8*T2^9 - 7374*T1^9*T2^9 + 2859*T1^10*T2^9 + 343*T1^11*T2^9 - 
      211*T1^12*T2^9 + 162*T1^4*T2^10 - 693*T1^5*T2^10 + 31*T1^6*T2^10 + 
      2859*T1^7*T2^10 - 4309*T1^8*T2^10 + 2859*T1^9*T2^10 + 31*T1^10*T2^10 - 
      693*T1^11*T2^10 + 162*T1^12*T2^10 - 63*T1^5*T2^11 + 378*T1^6*T2^11 - 
      693*T1^7*T2^11 + 343*T1^8*T2^11 + 343*T1^9*T2^11 - 693*T1^10*T2^11 + 
      378*T1^11*T2^11 - 63*T1^12*T2^11 + 9*T1^6*T2^12 - 63*T1^7*T2^12 + 
      162*T1^8*T2^12 - 211*T1^9*T2^12 + 162*T1^10*T2^12 - 63*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 125] -> 
  {-((1 - 12*T + 44*T^2 - 67*T^3 + 44*T^4 - 12*T^5 + T^6)/T^3), 0}, 
 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, 
   -((6 - 29*T1 + 61*T1^2 - 78*T1^3 + 61*T1^4 - 29*T1^5 + 6*T1^6 - 29*T2 + 
      114*T1*T2 - 165*T1^2*T2 + 88*T1^3*T2 + 88*T1^4*T2 - 165*T1^5*T2 + 
      114*T1^6*T2 - 29*T1^7*T2 + 61*T2^2 - 165*T1*T2^2 + 4*T1^2*T2^2 + 
      457*T1^3*T2^2 - 764*T1^4*T2^2 + 457*T1^5*T2^2 + 4*T1^6*T2^2 - 
      165*T1^7*T2^2 + 61*T1^8*T2^2 - 78*T2^3 + 88*T1*T2^3 + 457*T1^2*T2^3 - 
      1056*T1^3*T2^3 + 625*T1^4*T2^3 + 625*T1^5*T2^3 - 1056*T1^6*T2^3 + 
      457*T1^7*T2^3 + 88*T1^8*T2^3 - 78*T1^9*T2^3 + 61*T2^4 + 88*T1*T2^4 - 
      764*T1^2*T2^4 + 625*T1^3*T2^4 + 1064*T1^4*T2^4 - 2170*T1^5*T2^4 + 
      1064*T1^6*T2^4 + 625*T1^7*T2^4 - 764*T1^8*T2^4 + 88*T1^9*T2^4 + 
      61*T1^10*T2^4 - 29*T2^5 - 165*T1*T2^5 + 457*T1^2*T2^5 + 625*T1^3*T2^5 - 
      2170*T1^4*T2^5 + 1238*T1^5*T2^5 + 1238*T1^6*T2^5 - 2170*T1^7*T2^5 + 
      625*T1^8*T2^5 + 457*T1^9*T2^5 - 165*T1^10*T2^5 - 29*T1^11*T2^5 + 
      6*T2^6 + 114*T1*T2^6 + 4*T1^2*T2^6 - 1056*T1^3*T2^6 + 1064*T1^4*T2^6 + 
      1238*T1^5*T2^6 - 2592*T1^6*T2^6 + 1238*T1^7*T2^6 + 1064*T1^8*T2^6 - 
      1056*T1^9*T2^6 + 4*T1^10*T2^6 + 114*T1^11*T2^6 + 6*T1^12*T2^6 - 
      29*T1*T2^7 - 165*T1^2*T2^7 + 457*T1^3*T2^7 + 625*T1^4*T2^7 - 
      2170*T1^5*T2^7 + 1238*T1^6*T2^7 + 1238*T1^7*T2^7 - 2170*T1^8*T2^7 + 
      625*T1^9*T2^7 + 457*T1^10*T2^7 - 165*T1^11*T2^7 - 29*T1^12*T2^7 + 
      61*T1^2*T2^8 + 88*T1^3*T2^8 - 764*T1^4*T2^8 + 625*T1^5*T2^8 + 
      1064*T1^6*T2^8 - 2170*T1^7*T2^8 + 1064*T1^8*T2^8 + 625*T1^9*T2^8 - 
      764*T1^10*T2^8 + 88*T1^11*T2^8 + 61*T1^12*T2^8 - 78*T1^3*T2^9 + 
      88*T1^4*T2^9 + 457*T1^5*T2^9 - 1056*T1^6*T2^9 + 625*T1^7*T2^9 + 
      625*T1^8*T2^9 - 1056*T1^9*T2^9 + 457*T1^10*T2^9 + 88*T1^11*T2^9 - 
      78*T1^12*T2^9 + 61*T1^4*T2^10 - 165*T1^5*T2^10 + 4*T1^6*T2^10 + 
      457*T1^7*T2^10 - 764*T1^8*T2^10 + 457*T1^9*T2^10 + 4*T1^10*T2^10 - 
      165*T1^11*T2^10 + 61*T1^12*T2^10 - 29*T1^5*T2^11 + 114*T1^6*T2^11 - 
      165*T1^7*T2^11 + 88*T1^8*T2^11 + 88*T1^9*T2^11 - 165*T1^10*T2^11 + 
      114*T1^11*T2^11 - 29*T1^12*T2^11 + 6*T1^6*T2^12 - 29*T1^7*T2^12 + 
      61*T1^8*T2^12 - 78*T1^9*T2^12 + 61*T1^10*T2^12 - 29*T1^11*T2^12 + 
      6*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 127] -> 
  {(3 - 17*T + 37*T^2 - 45*T^3 + 37*T^4 - 17*T^5 + 3*T^6)/T^3, 
   (30 - 172*T1 + 374*T1^2 - 452*T1^3 + 374*T1^4 - 172*T1^5 + 30*T1^6 - 
     172*T2 + 814*T1*T2 - 1159*T1^2*T2 + 449*T1^3*T2 + 449*T1^4*T2 - 
     1159*T1^5*T2 + 814*T1^6*T2 - 172*T1^7*T2 + 374*T2^2 - 1159*T1*T2^2 - 
     612*T1^2*T2^2 + 4569*T1^3*T2^2 - 5682*T1^4*T2^2 + 4569*T1^5*T2^2 - 
     612*T1^6*T2^2 - 1159*T1^7*T2^2 + 374*T1^8*T2^2 - 452*T2^3 + 
     449*T1*T2^3 + 4569*T1^2*T2^3 - 8528*T1^3*T2^3 + 3029*T1^4*T2^3 + 
     3029*T1^5*T2^3 - 8528*T1^6*T2^3 + 4569*T1^7*T2^3 + 449*T1^8*T2^3 - 
     452*T1^9*T2^3 + 374*T2^4 + 449*T1*T2^4 - 5682*T1^2*T2^4 + 
     3029*T1^3*T2^4 + 10525*T1^4*T2^4 - 13877*T1^5*T2^4 + 10525*T1^6*T2^4 + 
     3029*T1^7*T2^4 - 5682*T1^8*T2^4 + 449*T1^9*T2^4 + 374*T1^10*T2^4 - 
     172*T2^5 - 1159*T1*T2^5 + 4569*T1^2*T2^5 + 3029*T1^3*T2^5 - 
     13877*T1^4*T2^5 + 5166*T1^5*T2^5 + 5166*T1^6*T2^5 - 13877*T1^7*T2^5 + 
     3029*T1^8*T2^5 + 4569*T1^9*T2^5 - 1159*T1^10*T2^5 - 172*T1^11*T2^5 + 
     30*T2^6 + 814*T1*T2^6 - 612*T1^2*T2^6 - 8528*T1^3*T2^6 + 
     10525*T1^4*T2^6 + 5166*T1^5*T2^6 - 9384*T1^6*T2^6 + 5166*T1^7*T2^6 + 
     10525*T1^8*T2^6 - 8528*T1^9*T2^6 - 612*T1^10*T2^6 + 814*T1^11*T2^6 + 
     30*T1^12*T2^6 - 172*T1*T2^7 - 1159*T1^2*T2^7 + 4569*T1^3*T2^7 + 
     3029*T1^4*T2^7 - 13877*T1^5*T2^7 + 5166*T1^6*T2^7 + 5166*T1^7*T2^7 - 
     13877*T1^8*T2^7 + 3029*T1^9*T2^7 + 4569*T1^10*T2^7 - 1159*T1^11*T2^7 - 
     172*T1^12*T2^7 + 374*T1^2*T2^8 + 449*T1^3*T2^8 - 5682*T1^4*T2^8 + 
     3029*T1^5*T2^8 + 10525*T1^6*T2^8 - 13877*T1^7*T2^8 + 10525*T1^8*T2^8 + 
     3029*T1^9*T2^8 - 5682*T1^10*T2^8 + 449*T1^11*T2^8 + 374*T1^12*T2^8 - 
     452*T1^3*T2^9 + 449*T1^4*T2^9 + 4569*T1^5*T2^9 - 8528*T1^6*T2^9 + 
     3029*T1^7*T2^9 + 3029*T1^8*T2^9 - 8528*T1^9*T2^9 + 4569*T1^10*T2^9 + 
     449*T1^11*T2^9 - 452*T1^12*T2^9 + 374*T1^4*T2^10 - 1159*T1^5*T2^10 - 
     612*T1^6*T2^10 + 4569*T1^7*T2^10 - 5682*T1^8*T2^10 + 4569*T1^9*T2^10 - 
     612*T1^10*T2^10 - 1159*T1^11*T2^10 + 374*T1^12*T2^10 - 172*T1^5*T2^11 + 
     814*T1^6*T2^11 - 1159*T1^7*T2^11 + 449*T1^8*T2^11 + 449*T1^9*T2^11 - 
     1159*T1^10*T2^11 + 814*T1^11*T2^11 - 172*T1^12*T2^11 + 30*T1^6*T2^12 - 
     172*T1^7*T2^12 + 374*T1^8*T2^12 - 452*T1^9*T2^12 + 374*T1^10*T2^12 - 
     172*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 128] -> {(5 - 25*T + 41*T^2 - 25*T^3 + 5*T^4)/T^2, 
   (40 - 220*T1 + 376*T1^2 - 220*T1^3 + 40*T1^4 - 220*T2 + 984*T1*T2 - 
     849*T1^2*T2 - 849*T1^3*T2 + 984*T1^4*T2 - 220*T1^5*T2 + 376*T2^2 - 
     849*T1*T2^2 - 2667*T1^2*T2^2 + 7009*T1^3*T2^2 - 2667*T1^4*T2^2 - 
     849*T1^5*T2^2 + 376*T1^6*T2^2 - 220*T2^3 - 849*T1*T2^3 + 
     7009*T1^2*T2^3 - 6764*T1^3*T2^3 - 6764*T1^4*T2^3 + 7009*T1^5*T2^3 - 
     849*T1^6*T2^3 - 220*T1^7*T2^3 + 40*T2^4 + 984*T1*T2^4 - 2667*T1^2*T2^4 - 
     6764*T1^3*T2^4 + 18960*T1^4*T2^4 - 6764*T1^5*T2^4 - 2667*T1^6*T2^4 + 
     984*T1^7*T2^4 + 40*T1^8*T2^4 - 220*T1*T2^5 - 849*T1^2*T2^5 + 
     7009*T1^3*T2^5 - 6764*T1^4*T2^5 - 6764*T1^5*T2^5 + 7009*T1^6*T2^5 - 
     849*T1^7*T2^5 - 220*T1^8*T2^5 + 376*T1^2*T2^6 - 849*T1^3*T2^6 - 
     2667*T1^4*T2^6 + 7009*T1^5*T2^6 - 2667*T1^6*T2^6 - 849*T1^7*T2^6 + 
     376*T1^8*T2^6 - 220*T1^3*T2^7 + 984*T1^4*T2^7 - 849*T1^5*T2^7 - 
     849*T1^6*T2^7 + 984*T1^7*T2^7 - 220*T1^8*T2^7 + 40*T1^4*T2^8 - 
     220*T1^5*T2^8 + 376*T1^6*T2^8 - 220*T1^7*T2^8 + 40*T1^8*T2^8)/
    (T1^4*T2^4)}, 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), -((1 - 7*T1 + 19*T1^2 - 32*T1^3 + 37*T1^4 - 32*T1^5 + 19*T1^6 - 
      7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 84*T1^2*T2 + 91*T1^3*T2 - 
      35*T1^4*T2 - 35*T1^5*T2 + 91*T1^6*T2 - 84*T1^7*T2 + 42*T1^8*T2 - 
      7*T1^9*T2 + 19*T2^2 - 84*T1*T2^2 + 31*T1^2*T2^2 + 212*T1^3*T2^2 - 
      545*T1^4*T2^2 + 647*T1^5*T2^2 - 545*T1^6*T2^2 + 212*T1^7*T2^2 + 
      31*T1^8*T2^2 - 84*T1^9*T2^2 + 19*T1^10*T2^2 - 32*T2^3 + 91*T1*T2^3 + 
      212*T1^2*T2^3 - 680*T1^3*T2^3 + 877*T1^4*T2^3 - 309*T1^5*T2^3 - 
      309*T1^6*T2^3 + 877*T1^7*T2^3 - 680*T1^8*T2^3 + 212*T1^9*T2^3 + 
      91*T1^10*T2^3 - 32*T1^11*T2^3 + 37*T2^4 - 35*T1*T2^4 - 545*T1^2*T2^4 + 
      877*T1^3*T2^4 - 439*T1^4*T2^4 - 849*T1^5*T2^4 + 1127*T1^6*T2^4 - 
      849*T1^7*T2^4 - 439*T1^8*T2^4 + 877*T1^9*T2^4 - 545*T1^10*T2^4 - 
      35*T1^11*T2^4 + 37*T1^12*T2^4 - 32*T2^5 - 35*T1*T2^5 + 647*T1^2*T2^5 - 
      309*T1^3*T2^5 - 849*T1^4*T2^5 + 1984*T1^5*T2^5 - 707*T1^6*T2^5 - 
      707*T1^7*T2^5 + 1984*T1^8*T2^5 - 849*T1^9*T2^5 - 309*T1^10*T2^5 + 
      647*T1^11*T2^5 - 35*T1^12*T2^5 - 32*T1^13*T2^5 + 19*T2^6 + 91*T1*T2^6 - 
      545*T1^2*T2^6 - 309*T1^3*T2^6 + 1127*T1^4*T2^6 - 707*T1^5*T2^6 - 
      2174*T1^6*T2^6 + 3038*T1^7*T2^6 - 2174*T1^8*T2^6 - 707*T1^9*T2^6 + 
      1127*T1^10*T2^6 - 309*T1^11*T2^6 - 545*T1^12*T2^6 + 91*T1^13*T2^6 + 
      19*T1^14*T2^6 - 7*T2^7 - 84*T1*T2^7 + 212*T1^2*T2^7 + 877*T1^3*T2^7 - 
      849*T1^4*T2^7 - 707*T1^5*T2^7 + 3038*T1^6*T2^7 - 1330*T1^7*T2^7 - 
      1330*T1^8*T2^7 + 3038*T1^9*T2^7 - 707*T1^10*T2^7 - 849*T1^11*T2^7 + 
      877*T1^12*T2^7 + 212*T1^13*T2^7 - 84*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 
      42*T1*T2^8 + 31*T1^2*T2^8 - 680*T1^3*T2^8 - 439*T1^4*T2^8 + 
      1984*T1^5*T2^8 - 2174*T1^6*T2^8 - 1330*T1^7*T2^8 + 2724*T1^8*T2^8 - 
      1330*T1^9*T2^8 - 2174*T1^10*T2^8 + 1984*T1^11*T2^8 - 439*T1^12*T2^8 - 
      680*T1^13*T2^8 + 31*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 
      7*T1*T2^9 - 84*T1^2*T2^9 + 212*T1^3*T2^9 + 877*T1^4*T2^9 - 
      849*T1^5*T2^9 - 707*T1^6*T2^9 + 3038*T1^7*T2^9 - 1330*T1^8*T2^9 - 
      1330*T1^9*T2^9 + 3038*T1^10*T2^9 - 707*T1^11*T2^9 - 849*T1^12*T2^9 + 
      877*T1^13*T2^9 + 212*T1^14*T2^9 - 84*T1^15*T2^9 - 7*T1^16*T2^9 + 
      19*T1^2*T2^10 + 91*T1^3*T2^10 - 545*T1^4*T2^10 - 309*T1^5*T2^10 + 
      1127*T1^6*T2^10 - 707*T1^7*T2^10 - 2174*T1^8*T2^10 + 3038*T1^9*T2^10 - 
      2174*T1^10*T2^10 - 707*T1^11*T2^10 + 1127*T1^12*T2^10 - 
      309*T1^13*T2^10 - 545*T1^14*T2^10 + 91*T1^15*T2^10 + 19*T1^16*T2^10 - 
      32*T1^3*T2^11 - 35*T1^4*T2^11 + 647*T1^5*T2^11 - 309*T1^6*T2^11 - 
      849*T1^7*T2^11 + 1984*T1^8*T2^11 - 707*T1^9*T2^11 - 707*T1^10*T2^11 + 
      1984*T1^11*T2^11 - 849*T1^12*T2^11 - 309*T1^13*T2^11 + 
      647*T1^14*T2^11 - 35*T1^15*T2^11 - 32*T1^16*T2^11 + 37*T1^4*T2^12 - 
      35*T1^5*T2^12 - 545*T1^6*T2^12 + 877*T1^7*T2^12 - 439*T1^8*T2^12 - 
      849*T1^9*T2^12 + 1127*T1^10*T2^12 - 849*T1^11*T2^12 - 439*T1^12*T2^12 + 
      877*T1^13*T2^12 - 545*T1^14*T2^12 - 35*T1^15*T2^12 + 37*T1^16*T2^12 - 
      32*T1^5*T2^13 + 91*T1^6*T2^13 + 212*T1^7*T2^13 - 680*T1^8*T2^13 + 
      877*T1^9*T2^13 - 309*T1^10*T2^13 - 309*T1^11*T2^13 + 877*T1^12*T2^13 - 
      680*T1^13*T2^13 + 212*T1^14*T2^13 + 91*T1^15*T2^13 - 32*T1^16*T2^13 + 
      19*T1^6*T2^14 - 84*T1^7*T2^14 + 31*T1^8*T2^14 + 212*T1^9*T2^14 - 
      545*T1^10*T2^14 + 647*T1^11*T2^14 - 545*T1^12*T2^14 + 212*T1^13*T2^14 + 
      31*T1^14*T2^14 - 84*T1^15*T2^14 + 19*T1^16*T2^14 - 7*T1^7*T2^15 + 
      42*T1^8*T2^15 - 84*T1^9*T2^15 + 91*T1^10*T2^15 - 35*T1^11*T2^15 - 
      35*T1^12*T2^15 + 91*T1^13*T2^15 - 84*T1^14*T2^15 + 42*T1^15*T2^15 - 
      7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 19*T1^10*T2^16 - 
      32*T1^11*T2^16 + 37*T1^12*T2^16 - 32*T1^13*T2^16 + 19*T1^14*T2^16 - 
      7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 130] -> 
  {-((2 - 14*T + 36*T^2 - 49*T^3 + 36*T^4 - 14*T^5 + 2*T^6)/T^3), 
   -((1 - 7*T1 + 18*T1^2 - 25*T1^3 + 18*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 77*T1^2*T2 + 49*T1^3*T2 + 49*T1^4*T2 - 77*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 18*T2^2 - 77*T1*T2^2 - 41*T1^2*T2^2 + 
      433*T1^3*T2^2 - 759*T1^4*T2^2 + 433*T1^5*T2^2 - 41*T1^6*T2^2 - 
      77*T1^7*T2^2 + 18*T1^8*T2^2 - 25*T2^3 + 49*T1*T2^3 + 433*T1^2*T2^3 - 
      1054*T1^3*T2^3 + 778*T1^4*T2^3 + 778*T1^5*T2^3 - 1054*T1^6*T2^3 + 
      433*T1^7*T2^3 + 49*T1^8*T2^3 - 25*T1^9*T2^3 + 18*T2^4 + 49*T1*T2^4 - 
      759*T1^2*T2^4 + 778*T1^3*T2^4 + 760*T1^4*T2^4 - 2604*T1^5*T2^4 + 
      760*T1^6*T2^4 + 778*T1^7*T2^4 - 759*T1^8*T2^4 + 49*T1^9*T2^4 + 
      18*T1^10*T2^4 - 7*T2^5 - 77*T1*T2^5 + 433*T1^2*T2^5 + 778*T1^3*T2^5 - 
      2604*T1^4*T2^5 + 2258*T1^5*T2^5 + 2258*T1^6*T2^5 - 2604*T1^7*T2^5 + 
      778*T1^8*T2^5 + 433*T1^9*T2^5 - 77*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 - 41*T1^2*T2^6 - 1054*T1^3*T2^6 + 760*T1^4*T2^6 + 
      2258*T1^5*T2^6 - 5796*T1^6*T2^6 + 2258*T1^7*T2^6 + 760*T1^8*T2^6 - 
      1054*T1^9*T2^6 - 41*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 77*T1^2*T2^7 + 433*T1^3*T2^7 + 778*T1^4*T2^7 - 
      2604*T1^5*T2^7 + 2258*T1^6*T2^7 + 2258*T1^7*T2^7 - 2604*T1^8*T2^7 + 
      778*T1^9*T2^7 + 433*T1^10*T2^7 - 77*T1^11*T2^7 - 7*T1^12*T2^7 + 
      18*T1^2*T2^8 + 49*T1^3*T2^8 - 759*T1^4*T2^8 + 778*T1^5*T2^8 + 
      760*T1^6*T2^8 - 2604*T1^7*T2^8 + 760*T1^8*T2^8 + 778*T1^9*T2^8 - 
      759*T1^10*T2^8 + 49*T1^11*T2^8 + 18*T1^12*T2^8 - 25*T1^3*T2^9 + 
      49*T1^4*T2^9 + 433*T1^5*T2^9 - 1054*T1^6*T2^9 + 778*T1^7*T2^9 + 
      778*T1^8*T2^9 - 1054*T1^9*T2^9 + 433*T1^10*T2^9 + 49*T1^11*T2^9 - 
      25*T1^12*T2^9 + 18*T1^4*T2^10 - 77*T1^5*T2^10 - 41*T1^6*T2^10 + 
      433*T1^7*T2^10 - 759*T1^8*T2^10 + 433*T1^9*T2^10 - 41*T1^10*T2^10 - 
      77*T1^11*T2^10 + 18*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      77*T1^7*T2^11 + 49*T1^8*T2^11 + 49*T1^9*T2^11 - 77*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      18*T1^8*T2^12 - 25*T1^9*T2^12 + 18*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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), (1 - 8*T1 + 26*T1^2 - 49*T1^3 + 59*T1^4 - 49*T1^5 + 26*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 144*T1^2*T2 + 184*T1^3*T2 - 
     80*T1^4*T2 - 80*T1^5*T2 + 184*T1^6*T2 - 144*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 26*T2^2 - 144*T1*T2^2 + 194*T1^2*T2^2 + 167*T1^3*T2^2 - 
     894*T1^4*T2^2 + 1190*T1^5*T2^2 - 894*T1^6*T2^2 + 167*T1^7*T2^2 + 
     194*T1^8*T2^2 - 144*T1^9*T2^2 + 26*T1^10*T2^2 - 49*T2^3 + 184*T1*T2^3 + 
     167*T1^2*T2^3 - 1364*T1^3*T2^3 + 2251*T1^4*T2^3 - 956*T1^5*T2^3 - 
     956*T1^6*T2^3 + 2251*T1^7*T2^3 - 1364*T1^8*T2^3 + 167*T1^9*T2^3 + 
     184*T1^10*T2^3 - 49*T1^11*T2^3 + 59*T2^4 - 80*T1*T2^4 - 894*T1^2*T2^4 + 
     2251*T1^3*T2^4 - 1104*T1^4*T2^4 - 3413*T1^5*T2^4 + 5052*T1^6*T2^4 - 
     3413*T1^7*T2^4 - 1104*T1^8*T2^4 + 2251*T1^9*T2^4 - 894*T1^10*T2^4 - 
     80*T1^11*T2^4 + 59*T1^12*T2^4 - 49*T2^5 - 80*T1*T2^5 + 1190*T1^2*T2^5 - 
     956*T1^3*T2^5 - 3413*T1^4*T2^5 + 8032*T1^5*T2^5 - 3382*T1^6*T2^5 - 
     3382*T1^7*T2^5 + 8032*T1^8*T2^5 - 3413*T1^9*T2^5 - 956*T1^10*T2^5 + 
     1190*T1^11*T2^5 - 80*T1^12*T2^5 - 49*T1^13*T2^5 + 26*T2^6 + 
     184*T1*T2^6 - 894*T1^2*T2^6 - 956*T1^3*T2^6 + 5052*T1^4*T2^6 - 
     3382*T1^5*T2^6 - 8589*T1^6*T2^6 + 12869*T1^7*T2^6 - 8589*T1^8*T2^6 - 
     3382*T1^9*T2^6 + 5052*T1^10*T2^6 - 956*T1^11*T2^6 - 894*T1^12*T2^6 + 
     184*T1^13*T2^6 + 26*T1^14*T2^6 - 8*T2^7 - 144*T1*T2^7 + 167*T1^2*T2^7 + 
     2251*T1^3*T2^7 - 3413*T1^4*T2^7 - 3382*T1^5*T2^7 + 12869*T1^6*T2^7 - 
     5610*T1^7*T2^7 - 5610*T1^8*T2^7 + 12869*T1^9*T2^7 - 3382*T1^10*T2^7 - 
     3413*T1^11*T2^7 + 2251*T1^12*T2^7 + 167*T1^13*T2^7 - 144*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 194*T1^2*T2^8 - 1364*T1^3*T2^8 - 
     1104*T1^4*T2^8 + 8032*T1^5*T2^8 - 8589*T1^6*T2^8 - 5610*T1^7*T2^8 + 
     10860*T1^8*T2^8 - 5610*T1^9*T2^8 - 8589*T1^10*T2^8 + 8032*T1^11*T2^8 - 
     1104*T1^12*T2^8 - 1364*T1^13*T2^8 + 194*T1^14*T2^8 + 56*T1^15*T2^8 + 
     T1^16*T2^8 - 8*T1*T2^9 - 144*T1^2*T2^9 + 167*T1^3*T2^9 + 
     2251*T1^4*T2^9 - 3413*T1^5*T2^9 - 3382*T1^6*T2^9 + 12869*T1^7*T2^9 - 
     5610*T1^8*T2^9 - 5610*T1^9*T2^9 + 12869*T1^10*T2^9 - 3382*T1^11*T2^9 - 
     3413*T1^12*T2^9 + 2251*T1^13*T2^9 + 167*T1^14*T2^9 - 144*T1^15*T2^9 - 
     8*T1^16*T2^9 + 26*T1^2*T2^10 + 184*T1^3*T2^10 - 894*T1^4*T2^10 - 
     956*T1^5*T2^10 + 5052*T1^6*T2^10 - 3382*T1^7*T2^10 - 8589*T1^8*T2^10 + 
     12869*T1^9*T2^10 - 8589*T1^10*T2^10 - 3382*T1^11*T2^10 + 
     5052*T1^12*T2^10 - 956*T1^13*T2^10 - 894*T1^14*T2^10 + 184*T1^15*T2^10 + 
     26*T1^16*T2^10 - 49*T1^3*T2^11 - 80*T1^4*T2^11 + 1190*T1^5*T2^11 - 
     956*T1^6*T2^11 - 3413*T1^7*T2^11 + 8032*T1^8*T2^11 - 3382*T1^9*T2^11 - 
     3382*T1^10*T2^11 + 8032*T1^11*T2^11 - 3413*T1^12*T2^11 - 
     956*T1^13*T2^11 + 1190*T1^14*T2^11 - 80*T1^15*T2^11 - 49*T1^16*T2^11 + 
     59*T1^4*T2^12 - 80*T1^5*T2^12 - 894*T1^6*T2^12 + 2251*T1^7*T2^12 - 
     1104*T1^8*T2^12 - 3413*T1^9*T2^12 + 5052*T1^10*T2^12 - 
     3413*T1^11*T2^12 - 1104*T1^12*T2^12 + 2251*T1^13*T2^12 - 
     894*T1^14*T2^12 - 80*T1^15*T2^12 + 59*T1^16*T2^12 - 49*T1^5*T2^13 + 
     184*T1^6*T2^13 + 167*T1^7*T2^13 - 1364*T1^8*T2^13 + 2251*T1^9*T2^13 - 
     956*T1^10*T2^13 - 956*T1^11*T2^13 + 2251*T1^12*T2^13 - 
     1364*T1^13*T2^13 + 167*T1^14*T2^13 + 184*T1^15*T2^13 - 49*T1^16*T2^13 + 
     26*T1^6*T2^14 - 144*T1^7*T2^14 + 194*T1^8*T2^14 + 167*T1^9*T2^14 - 
     894*T1^10*T2^14 + 1190*T1^11*T2^14 - 894*T1^12*T2^14 + 167*T1^13*T2^14 + 
     194*T1^14*T2^14 - 144*T1^15*T2^14 + 26*T1^16*T2^14 - 8*T1^7*T2^15 + 
     56*T1^8*T2^15 - 144*T1^9*T2^15 + 184*T1^10*T2^15 - 80*T1^11*T2^15 - 
     80*T1^12*T2^15 + 184*T1^13*T2^15 - 144*T1^14*T2^15 + 56*T1^15*T2^15 - 
     8*T1^16*T2^15 + T1^8*T2^16 - 8*T1^9*T2^16 + 26*T1^10*T2^16 - 
     49*T1^11*T2^16 + 59*T1^12*T2^16 - 49*T1^13*T2^16 + 26*T1^14*T2^16 - 
     8*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 
   -((6 - 29*T1 + 60*T1^2 - 76*T1^3 + 60*T1^4 - 29*T1^5 + 6*T1^6 - 29*T2 + 
      116*T1*T2 - 167*T1^2*T2 + 88*T1^3*T2 + 88*T1^4*T2 - 167*T1^5*T2 + 
      116*T1^6*T2 - 29*T1^7*T2 + 60*T2^2 - 167*T1*T2^2 + 6*T1^2*T2^2 + 
      457*T1^3*T2^2 - 762*T1^4*T2^2 + 457*T1^5*T2^2 + 6*T1^6*T2^2 - 
      167*T1^7*T2^2 + 60*T1^8*T2^2 - 76*T2^3 + 88*T1*T2^3 + 457*T1^2*T2^3 - 
      1056*T1^3*T2^3 + 623*T1^4*T2^3 + 623*T1^5*T2^3 - 1056*T1^6*T2^3 + 
      457*T1^7*T2^3 + 88*T1^8*T2^3 - 76*T1^9*T2^3 + 60*T2^4 + 88*T1*T2^4 - 
      762*T1^2*T2^4 + 623*T1^3*T2^4 + 1064*T1^4*T2^4 - 2168*T1^5*T2^4 + 
      1064*T1^6*T2^4 + 623*T1^7*T2^4 - 762*T1^8*T2^4 + 88*T1^9*T2^4 + 
      60*T1^10*T2^4 - 29*T2^5 - 167*T1*T2^5 + 457*T1^2*T2^5 + 623*T1^3*T2^5 - 
      2168*T1^4*T2^5 + 1240*T1^5*T2^5 + 1240*T1^6*T2^5 - 2168*T1^7*T2^5 + 
      623*T1^8*T2^5 + 457*T1^9*T2^5 - 167*T1^10*T2^5 - 29*T1^11*T2^5 + 
      6*T2^6 + 116*T1*T2^6 + 6*T1^2*T2^6 - 1056*T1^3*T2^6 + 1064*T1^4*T2^6 + 
      1240*T1^5*T2^6 - 2604*T1^6*T2^6 + 1240*T1^7*T2^6 + 1064*T1^8*T2^6 - 
      1056*T1^9*T2^6 + 6*T1^10*T2^6 + 116*T1^11*T2^6 + 6*T1^12*T2^6 - 
      29*T1*T2^7 - 167*T1^2*T2^7 + 457*T1^3*T2^7 + 623*T1^4*T2^7 - 
      2168*T1^5*T2^7 + 1240*T1^6*T2^7 + 1240*T1^7*T2^7 - 2168*T1^8*T2^7 + 
      623*T1^9*T2^7 + 457*T1^10*T2^7 - 167*T1^11*T2^7 - 29*T1^12*T2^7 + 
      60*T1^2*T2^8 + 88*T1^3*T2^8 - 762*T1^4*T2^8 + 623*T1^5*T2^8 + 
      1064*T1^6*T2^8 - 2168*T1^7*T2^8 + 1064*T1^8*T2^8 + 623*T1^9*T2^8 - 
      762*T1^10*T2^8 + 88*T1^11*T2^8 + 60*T1^12*T2^8 - 76*T1^3*T2^9 + 
      88*T1^4*T2^9 + 457*T1^5*T2^9 - 1056*T1^6*T2^9 + 623*T1^7*T2^9 + 
      623*T1^8*T2^9 - 1056*T1^9*T2^9 + 457*T1^10*T2^9 + 88*T1^11*T2^9 - 
      76*T1^12*T2^9 + 60*T1^4*T2^10 - 167*T1^5*T2^10 + 6*T1^6*T2^10 + 
      457*T1^7*T2^10 - 762*T1^8*T2^10 + 457*T1^9*T2^10 + 6*T1^10*T2^10 - 
      167*T1^11*T2^10 + 60*T1^12*T2^10 - 29*T1^5*T2^11 + 116*T1^6*T2^11 - 
      167*T1^7*T2^11 + 88*T1^8*T2^11 + 88*T1^9*T2^11 - 167*T1^10*T2^11 + 
      116*T1^11*T2^11 - 29*T1^12*T2^11 + 6*T1^6*T2^12 - 29*T1^7*T2^12 + 
      60*T1^8*T2^12 - 76*T1^9*T2^12 + 60*T1^10*T2^12 - 29*T1^11*T2^12 + 
      6*T1^12*T2^12)/(T1^6*T2^6))}, 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), (1 - 8*T1 + 26*T1^2 - 49*T1^3 + 59*T1^4 - 49*T1^5 + 26*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 144*T1^2*T2 + 184*T1^3*T2 - 
     80*T1^4*T2 - 80*T1^5*T2 + 184*T1^6*T2 - 144*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 26*T2^2 - 144*T1*T2^2 + 194*T1^2*T2^2 + 167*T1^3*T2^2 - 
     895*T1^4*T2^2 + 1192*T1^5*T2^2 - 895*T1^6*T2^2 + 167*T1^7*T2^2 + 
     194*T1^8*T2^2 - 144*T1^9*T2^2 + 26*T1^10*T2^2 - 49*T2^3 + 184*T1*T2^3 + 
     167*T1^2*T2^3 - 1362*T1^3*T2^3 + 2249*T1^4*T2^3 - 956*T1^5*T2^3 - 
     956*T1^6*T2^3 + 2249*T1^7*T2^3 - 1362*T1^8*T2^3 + 167*T1^9*T2^3 + 
     184*T1^10*T2^3 - 49*T1^11*T2^3 + 59*T2^4 - 80*T1*T2^4 - 895*T1^2*T2^4 + 
     2249*T1^3*T2^4 - 1102*T1^4*T2^4 - 3413*T1^5*T2^4 + 5054*T1^6*T2^4 - 
     3413*T1^7*T2^4 - 1102*T1^8*T2^4 + 2249*T1^9*T2^4 - 895*T1^10*T2^4 - 
     80*T1^11*T2^4 + 59*T1^12*T2^4 - 49*T2^5 - 80*T1*T2^5 + 1192*T1^2*T2^5 - 
     956*T1^3*T2^5 - 3413*T1^4*T2^5 + 8032*T1^5*T2^5 - 3384*T1^6*T2^5 - 
     3384*T1^7*T2^5 + 8032*T1^8*T2^5 - 3413*T1^9*T2^5 - 956*T1^10*T2^5 + 
     1192*T1^11*T2^5 - 80*T1^12*T2^5 - 49*T1^13*T2^5 + 26*T2^6 + 
     184*T1*T2^6 - 895*T1^2*T2^6 - 956*T1^3*T2^6 + 5054*T1^4*T2^6 - 
     3384*T1^5*T2^6 - 8589*T1^6*T2^6 + 12871*T1^7*T2^6 - 8589*T1^8*T2^6 - 
     3384*T1^9*T2^6 + 5054*T1^10*T2^6 - 956*T1^11*T2^6 - 895*T1^12*T2^6 + 
     184*T1^13*T2^6 + 26*T1^14*T2^6 - 8*T2^7 - 144*T1*T2^7 + 167*T1^2*T2^7 + 
     2249*T1^3*T2^7 - 3413*T1^4*T2^7 - 3384*T1^5*T2^7 + 12871*T1^6*T2^7 - 
     5608*T1^7*T2^7 - 5608*T1^8*T2^7 + 12871*T1^9*T2^7 - 3384*T1^10*T2^7 - 
     3413*T1^11*T2^7 + 2249*T1^12*T2^7 + 167*T1^13*T2^7 - 144*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 194*T1^2*T2^8 - 1362*T1^3*T2^8 - 
     1102*T1^4*T2^8 + 8032*T1^5*T2^8 - 8589*T1^6*T2^8 - 5608*T1^7*T2^8 + 
     10848*T1^8*T2^8 - 5608*T1^9*T2^8 - 8589*T1^10*T2^8 + 8032*T1^11*T2^8 - 
     1102*T1^12*T2^8 - 1362*T1^13*T2^8 + 194*T1^14*T2^8 + 56*T1^15*T2^8 + 
     T1^16*T2^8 - 8*T1*T2^9 - 144*T1^2*T2^9 + 167*T1^3*T2^9 + 
     2249*T1^4*T2^9 - 3413*T1^5*T2^9 - 3384*T1^6*T2^9 + 12871*T1^7*T2^9 - 
     5608*T1^8*T2^9 - 5608*T1^9*T2^9 + 12871*T1^10*T2^9 - 3384*T1^11*T2^9 - 
     3413*T1^12*T2^9 + 2249*T1^13*T2^9 + 167*T1^14*T2^9 - 144*T1^15*T2^9 - 
     8*T1^16*T2^9 + 26*T1^2*T2^10 + 184*T1^3*T2^10 - 895*T1^4*T2^10 - 
     956*T1^5*T2^10 + 5054*T1^6*T2^10 - 3384*T1^7*T2^10 - 8589*T1^8*T2^10 + 
     12871*T1^9*T2^10 - 8589*T1^10*T2^10 - 3384*T1^11*T2^10 + 
     5054*T1^12*T2^10 - 956*T1^13*T2^10 - 895*T1^14*T2^10 + 184*T1^15*T2^10 + 
     26*T1^16*T2^10 - 49*T1^3*T2^11 - 80*T1^4*T2^11 + 1192*T1^5*T2^11 - 
     956*T1^6*T2^11 - 3413*T1^7*T2^11 + 8032*T1^8*T2^11 - 3384*T1^9*T2^11 - 
     3384*T1^10*T2^11 + 8032*T1^11*T2^11 - 3413*T1^12*T2^11 - 
     956*T1^13*T2^11 + 1192*T1^14*T2^11 - 80*T1^15*T2^11 - 49*T1^16*T2^11 + 
     59*T1^4*T2^12 - 80*T1^5*T2^12 - 895*T1^6*T2^12 + 2249*T1^7*T2^12 - 
     1102*T1^8*T2^12 - 3413*T1^9*T2^12 + 5054*T1^10*T2^12 - 
     3413*T1^11*T2^12 - 1102*T1^12*T2^12 + 2249*T1^13*T2^12 - 
     895*T1^14*T2^12 - 80*T1^15*T2^12 + 59*T1^16*T2^12 - 49*T1^5*T2^13 + 
     184*T1^6*T2^13 + 167*T1^7*T2^13 - 1362*T1^8*T2^13 + 2249*T1^9*T2^13 - 
     956*T1^10*T2^13 - 956*T1^11*T2^13 + 2249*T1^12*T2^13 - 
     1362*T1^13*T2^13 + 167*T1^14*T2^13 + 184*T1^15*T2^13 - 49*T1^16*T2^13 + 
     26*T1^6*T2^14 - 144*T1^7*T2^14 + 194*T1^8*T2^14 + 167*T1^9*T2^14 - 
     895*T1^10*T2^14 + 1192*T1^11*T2^14 - 895*T1^12*T2^14 + 167*T1^13*T2^14 + 
     194*T1^14*T2^14 - 144*T1^15*T2^14 + 26*T1^16*T2^14 - 8*T1^7*T2^15 + 
     56*T1^8*T2^15 - 144*T1^9*T2^15 + 184*T1^10*T2^15 - 80*T1^11*T2^15 - 
     80*T1^12*T2^15 + 184*T1^13*T2^15 - 144*T1^14*T2^15 + 56*T1^15*T2^15 - 
     8*T1^16*T2^15 + T1^8*T2^16 - 8*T1^9*T2^16 + 26*T1^10*T2^16 - 
     49*T1^11*T2^16 + 59*T1^12*T2^16 - 49*T1^13*T2^16 + 26*T1^14*T2^16 - 
     8*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 
   (2*T1 - 10*T1^2 + 14*T1^3 - 10*T1^4 + 2*T1^5 + 2*T2 - 26*T1*T2 + 
     81*T1^2*T2 - 44*T1^3*T2 - 44*T1^4*T2 + 81*T1^5*T2 - 26*T1^6*T2 + 
     2*T1^7*T2 - 10*T2^2 + 81*T1*T2^2 - 112*T1^2*T2^2 - 362*T1^3*T2^2 + 
     646*T1^4*T2^2 - 362*T1^5*T2^2 - 112*T1^6*T2^2 + 81*T1^7*T2^2 - 
     10*T1^8*T2^2 + 14*T2^3 - 44*T1*T2^3 - 362*T1^2*T2^3 + 1644*T1^3*T2^3 - 
     953*T1^4*T2^3 - 953*T1^5*T2^3 + 1644*T1^6*T2^3 - 362*T1^7*T2^3 - 
     44*T1^8*T2^3 + 14*T1^9*T2^3 - 10*T2^4 - 44*T1*T2^4 + 646*T1^2*T2^4 - 
     953*T1^3*T2^4 - 3347*T1^4*T2^4 + 5947*T1^5*T2^4 - 3347*T1^6*T2^4 - 
     953*T1^7*T2^4 + 646*T1^8*T2^4 - 44*T1^9*T2^4 - 10*T1^10*T2^4 + 2*T2^5 + 
     81*T1*T2^5 - 362*T1^2*T2^5 - 953*T1^3*T2^5 + 5947*T1^4*T2^5 - 
     3480*T1^5*T2^5 - 3480*T1^6*T2^5 + 5947*T1^7*T2^5 - 953*T1^8*T2^5 - 
     362*T1^9*T2^5 + 81*T1^10*T2^5 + 2*T1^11*T2^5 - 26*T1*T2^6 - 
     112*T1^2*T2^6 + 1644*T1^3*T2^6 - 3347*T1^4*T2^6 - 3480*T1^5*T2^6 + 
     7716*T1^6*T2^6 - 3480*T1^7*T2^6 - 3347*T1^8*T2^6 + 1644*T1^9*T2^6 - 
     112*T1^10*T2^6 - 26*T1^11*T2^6 + 2*T1*T2^7 + 81*T1^2*T2^7 - 
     362*T1^3*T2^7 - 953*T1^4*T2^7 + 5947*T1^5*T2^7 - 3480*T1^6*T2^7 - 
     3480*T1^7*T2^7 + 5947*T1^8*T2^7 - 953*T1^9*T2^7 - 362*T1^10*T2^7 + 
     81*T1^11*T2^7 + 2*T1^12*T2^7 - 10*T1^2*T2^8 - 44*T1^3*T2^8 + 
     646*T1^4*T2^8 - 953*T1^5*T2^8 - 3347*T1^6*T2^8 + 5947*T1^7*T2^8 - 
     3347*T1^8*T2^8 - 953*T1^9*T2^8 + 646*T1^10*T2^8 - 44*T1^11*T2^8 - 
     10*T1^12*T2^8 + 14*T1^3*T2^9 - 44*T1^4*T2^9 - 362*T1^5*T2^9 + 
     1644*T1^6*T2^9 - 953*T1^7*T2^9 - 953*T1^8*T2^9 + 1644*T1^9*T2^9 - 
     362*T1^10*T2^9 - 44*T1^11*T2^9 + 14*T1^12*T2^9 - 10*T1^4*T2^10 + 
     81*T1^5*T2^10 - 112*T1^6*T2^10 - 362*T1^7*T2^10 + 646*T1^8*T2^10 - 
     362*T1^9*T2^10 - 112*T1^10*T2^10 + 81*T1^11*T2^10 - 10*T1^12*T2^10 + 
     2*T1^5*T2^11 - 26*T1^6*T2^11 + 81*T1^7*T2^11 - 44*T1^8*T2^11 - 
     44*T1^9*T2^11 + 81*T1^10*T2^11 - 26*T1^11*T2^11 + 2*T1^12*T2^11 + 
     2*T1^7*T2^12 - 10*T1^8*T2^12 + 14*T1^9*T2^12 - 10*T1^10*T2^12 + 
     2*T1^11*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 135] -> 
  {((1 - 3*T + T^2)^2*(2 - 3*T + 2*T^2))/T^3, 
   -((7 - 52*T1 + 144*T1^2 - 195*T1^3 + 144*T1^4 - 52*T1^5 + 7*T1^6 - 52*T2 + 
      334*T1*T2 - 682*T1^2*T2 + 378*T1^3*T2 + 378*T1^4*T2 - 682*T1^5*T2 + 
      334*T1^6*T2 - 52*T1^7*T2 + 144*T2^2 - 682*T1*T2^2 + 248*T1^2*T2^2 + 
      2783*T1^3*T2^2 - 4710*T1^4*T2^2 + 2783*T1^5*T2^2 + 248*T1^6*T2^2 - 
      682*T1^7*T2^2 + 144*T1^8*T2^2 - 195*T2^3 + 378*T1*T2^3 + 
      2783*T1^2*T2^3 - 8500*T1^3*T2^3 + 5043*T1^4*T2^3 + 5043*T1^5*T2^3 - 
      8500*T1^6*T2^3 + 2783*T1^7*T2^3 + 378*T1^8*T2^3 - 195*T1^9*T2^3 + 
      144*T2^4 + 378*T1*T2^4 - 4710*T1^2*T2^4 + 5043*T1^3*T2^4 + 
      12122*T1^4*T2^4 - 23718*T1^5*T2^4 + 12122*T1^6*T2^4 + 5043*T1^7*T2^4 - 
      4710*T1^8*T2^4 + 378*T1^9*T2^4 + 144*T1^10*T2^4 - 52*T2^5 - 
      682*T1*T2^5 + 2783*T1^2*T2^5 + 5043*T1^3*T2^5 - 23718*T1^4*T2^5 + 
      14864*T1^5*T2^5 + 14864*T1^6*T2^5 - 23718*T1^7*T2^5 + 5043*T1^8*T2^5 + 
      2783*T1^9*T2^5 - 682*T1^10*T2^5 - 52*T1^11*T2^5 + 7*T2^6 + 
      334*T1*T2^6 + 248*T1^2*T2^6 - 8500*T1^3*T2^6 + 12122*T1^4*T2^6 + 
      14864*T1^5*T2^6 - 34080*T1^6*T2^6 + 14864*T1^7*T2^6 + 12122*T1^8*T2^6 - 
      8500*T1^9*T2^6 + 248*T1^10*T2^6 + 334*T1^11*T2^6 + 7*T1^12*T2^6 - 
      52*T1*T2^7 - 682*T1^2*T2^7 + 2783*T1^3*T2^7 + 5043*T1^4*T2^7 - 
      23718*T1^5*T2^7 + 14864*T1^6*T2^7 + 14864*T1^7*T2^7 - 23718*T1^8*T2^7 + 
      5043*T1^9*T2^7 + 2783*T1^10*T2^7 - 682*T1^11*T2^7 - 52*T1^12*T2^7 + 
      144*T1^2*T2^8 + 378*T1^3*T2^8 - 4710*T1^4*T2^8 + 5043*T1^5*T2^8 + 
      12122*T1^6*T2^8 - 23718*T1^7*T2^8 + 12122*T1^8*T2^8 + 5043*T1^9*T2^8 - 
      4710*T1^10*T2^8 + 378*T1^11*T2^8 + 144*T1^12*T2^8 - 195*T1^3*T2^9 + 
      378*T1^4*T2^9 + 2783*T1^5*T2^9 - 8500*T1^6*T2^9 + 5043*T1^7*T2^9 + 
      5043*T1^8*T2^9 - 8500*T1^9*T2^9 + 2783*T1^10*T2^9 + 378*T1^11*T2^9 - 
      195*T1^12*T2^9 + 144*T1^4*T2^10 - 682*T1^5*T2^10 + 248*T1^6*T2^10 + 
      2783*T1^7*T2^10 - 4710*T1^8*T2^10 + 2783*T1^9*T2^10 + 248*T1^10*T2^10 - 
      682*T1^11*T2^10 + 144*T1^12*T2^10 - 52*T1^5*T2^11 + 334*T1^6*T2^11 - 
      682*T1^7*T2^11 + 378*T1^8*T2^11 + 378*T1^9*T2^11 - 682*T1^10*T2^11 + 
      334*T1^11*T2^11 - 52*T1^12*T2^11 + 7*T1^6*T2^12 - 52*T1^7*T2^12 + 
      144*T1^8*T2^12 - 195*T1^9*T2^12 + 144*T1^10*T2^12 - 52*T1^11*T2^12 + 
      7*T1^12*T2^12)/(T1^6*T2^6))}, 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), (1 - 8*T1 + 26*T1^2 - 47*T1^3 + 55*T1^4 - 47*T1^5 + 26*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 144*T1^2*T2 + 168*T1^3*T2 - 
     64*T1^4*T2 - 64*T1^5*T2 + 168*T1^6*T2 - 144*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 26*T2^2 - 144*T1*T2^2 + 190*T1^2*T2^2 + 236*T1^3*T2^2 - 
     910*T1^4*T2^2 + 1090*T1^5*T2^2 - 910*T1^6*T2^2 + 236*T1^7*T2^2 + 
     190*T1^8*T2^2 - 144*T1^9*T2^2 + 26*T1^10*T2^2 - 47*T2^3 + 168*T1*T2^3 + 
     236*T1^2*T2^3 - 1608*T1^3*T2^3 + 2227*T1^4*T2^3 - 736*T1^5*T2^3 - 
     736*T1^6*T2^3 + 2227*T1^7*T2^3 - 1608*T1^8*T2^3 + 236*T1^9*T2^3 + 
     168*T1^10*T2^3 - 47*T1^11*T2^3 + 55*T2^4 - 64*T1*T2^4 - 910*T1^2*T2^4 + 
     2227*T1^3*T2^4 - 56*T1^4*T2^4 - 4704*T1^5*T2^4 + 5562*T1^6*T2^4 - 
     4704*T1^7*T2^4 - 56*T1^8*T2^4 + 2227*T1^9*T2^4 - 910*T1^10*T2^4 - 
     64*T1^11*T2^4 + 55*T1^12*T2^4 - 47*T2^5 - 64*T1*T2^5 + 1090*T1^2*T2^5 - 
     736*T1^3*T2^5 - 4704*T1^4*T2^5 + 8524*T1^5*T2^5 - 2724*T1^6*T2^5 - 
     2724*T1^7*T2^5 + 8524*T1^8*T2^5 - 4704*T1^9*T2^5 - 736*T1^10*T2^5 + 
     1090*T1^11*T2^5 - 64*T1^12*T2^5 - 47*T1^13*T2^5 + 26*T2^6 + 
     168*T1*T2^6 - 910*T1^2*T2^6 - 736*T1^3*T2^6 + 5562*T1^4*T2^6 - 
     2724*T1^5*T2^6 - 9506*T1^6*T2^6 + 12178*T1^7*T2^6 - 9506*T1^8*T2^6 - 
     2724*T1^9*T2^6 + 5562*T1^10*T2^6 - 736*T1^11*T2^6 - 910*T1^12*T2^6 + 
     168*T1^13*T2^6 + 26*T1^14*T2^6 - 8*T2^7 - 144*T1*T2^7 + 236*T1^2*T2^7 + 
     2227*T1^3*T2^7 - 4704*T1^4*T2^7 - 2724*T1^5*T2^7 + 12178*T1^6*T2^7 - 
     4560*T1^7*T2^7 - 4560*T1^8*T2^7 + 12178*T1^9*T2^7 - 2724*T1^10*T2^7 - 
     4704*T1^11*T2^7 + 2227*T1^12*T2^7 + 236*T1^13*T2^7 - 144*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 190*T1^2*T2^8 - 1608*T1^3*T2^8 - 
     56*T1^4*T2^8 + 8524*T1^5*T2^8 - 9506*T1^6*T2^8 - 4560*T1^7*T2^8 + 
     8604*T1^8*T2^8 - 4560*T1^9*T2^8 - 9506*T1^10*T2^8 + 8524*T1^11*T2^8 - 
     56*T1^12*T2^8 - 1608*T1^13*T2^8 + 190*T1^14*T2^8 + 56*T1^15*T2^8 + 
     T1^16*T2^8 - 8*T1*T2^9 - 144*T1^2*T2^9 + 236*T1^3*T2^9 + 
     2227*T1^4*T2^9 - 4704*T1^5*T2^9 - 2724*T1^6*T2^9 + 12178*T1^7*T2^9 - 
     4560*T1^8*T2^9 - 4560*T1^9*T2^9 + 12178*T1^10*T2^9 - 2724*T1^11*T2^9 - 
     4704*T1^12*T2^9 + 2227*T1^13*T2^9 + 236*T1^14*T2^9 - 144*T1^15*T2^9 - 
     8*T1^16*T2^9 + 26*T1^2*T2^10 + 168*T1^3*T2^10 - 910*T1^4*T2^10 - 
     736*T1^5*T2^10 + 5562*T1^6*T2^10 - 2724*T1^7*T2^10 - 9506*T1^8*T2^10 + 
     12178*T1^9*T2^10 - 9506*T1^10*T2^10 - 2724*T1^11*T2^10 + 
     5562*T1^12*T2^10 - 736*T1^13*T2^10 - 910*T1^14*T2^10 + 168*T1^15*T2^10 + 
     26*T1^16*T2^10 - 47*T1^3*T2^11 - 64*T1^4*T2^11 + 1090*T1^5*T2^11 - 
     736*T1^6*T2^11 - 4704*T1^7*T2^11 + 8524*T1^8*T2^11 - 2724*T1^9*T2^11 - 
     2724*T1^10*T2^11 + 8524*T1^11*T2^11 - 4704*T1^12*T2^11 - 
     736*T1^13*T2^11 + 1090*T1^14*T2^11 - 64*T1^15*T2^11 - 47*T1^16*T2^11 + 
     55*T1^4*T2^12 - 64*T1^5*T2^12 - 910*T1^6*T2^12 + 2227*T1^7*T2^12 - 
     56*T1^8*T2^12 - 4704*T1^9*T2^12 + 5562*T1^10*T2^12 - 4704*T1^11*T2^12 - 
     56*T1^12*T2^12 + 2227*T1^13*T2^12 - 910*T1^14*T2^12 - 64*T1^15*T2^12 + 
     55*T1^16*T2^12 - 47*T1^5*T2^13 + 168*T1^6*T2^13 + 236*T1^7*T2^13 - 
     1608*T1^8*T2^13 + 2227*T1^9*T2^13 - 736*T1^10*T2^13 - 736*T1^11*T2^13 + 
     2227*T1^12*T2^13 - 1608*T1^13*T2^13 + 236*T1^14*T2^13 + 
     168*T1^15*T2^13 - 47*T1^16*T2^13 + 26*T1^6*T2^14 - 144*T1^7*T2^14 + 
     190*T1^8*T2^14 + 236*T1^9*T2^14 - 910*T1^10*T2^14 + 1090*T1^11*T2^14 - 
     910*T1^12*T2^14 + 236*T1^13*T2^14 + 190*T1^14*T2^14 - 144*T1^15*T2^14 + 
     26*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 144*T1^9*T2^15 + 
     168*T1^10*T2^15 - 64*T1^11*T2^15 - 64*T1^12*T2^15 + 168*T1^13*T2^15 - 
     144*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
     8*T1^9*T2^16 + 26*T1^10*T2^16 - 47*T1^11*T2^16 + 55*T1^12*T2^16 - 
     47*T1^13*T2^16 + 26*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, 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), (1 - 8*T1 + 26*T1^2 - 46*T1^3 + 53*T1^4 - 46*T1^5 + 26*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 144*T1^2*T2 + 160*T1^3*T2 - 
     56*T1^4*T2 - 56*T1^5*T2 + 160*T1^6*T2 - 144*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 26*T2^2 - 144*T1*T2^2 + 190*T1^2*T2^2 + 261*T1^3*T2^2 - 
     895*T1^4*T2^2 + 1010*T1^5*T2^2 - 895*T1^6*T2^2 + 261*T1^7*T2^2 + 
     190*T1^8*T2^2 - 144*T1^9*T2^2 + 26*T1^10*T2^2 - 46*T2^3 + 160*T1*T2^3 + 
     261*T1^2*T2^3 - 1688*T1^3*T2^3 + 2136*T1^4*T2^3 - 585*T1^5*T2^3 - 
     585*T1^6*T2^3 + 2136*T1^7*T2^3 - 1688*T1^8*T2^3 + 261*T1^9*T2^3 + 
     160*T1^10*T2^3 - 46*T1^11*T2^3 + 53*T2^4 - 56*T1*T2^4 - 895*T1^2*T2^4 + 
     2136*T1^3*T2^4 + 508*T1^4*T2^4 - 5105*T1^5*T2^4 + 5416*T1^6*T2^4 - 
     5105*T1^7*T2^4 + 508*T1^8*T2^4 + 2136*T1^9*T2^4 - 895*T1^10*T2^4 - 
     56*T1^11*T2^4 + 53*T1^12*T2^4 - 46*T2^5 - 56*T1*T2^5 + 1010*T1^2*T2^5 - 
     585*T1^3*T2^5 - 5105*T1^4*T2^5 + 8060*T1^5*T2^5 - 2025*T1^6*T2^5 - 
     2025*T1^7*T2^5 + 8060*T1^8*T2^5 - 5105*T1^9*T2^5 - 585*T1^10*T2^5 + 
     1010*T1^11*T2^5 - 56*T1^12*T2^5 - 46*T1^13*T2^5 + 26*T2^6 + 
     160*T1*T2^6 - 895*T1^2*T2^6 - 585*T1^3*T2^6 + 5416*T1^4*T2^6 - 
     2025*T1^5*T2^6 - 9025*T1^6*T2^6 + 10219*T1^7*T2^6 - 9025*T1^8*T2^6 - 
     2025*T1^9*T2^6 + 5416*T1^10*T2^6 - 585*T1^11*T2^6 - 895*T1^12*T2^6 + 
     160*T1^13*T2^6 + 26*T1^14*T2^6 - 8*T2^7 - 144*T1*T2^7 + 261*T1^2*T2^7 + 
     2136*T1^3*T2^7 - 5105*T1^4*T2^7 - 2025*T1^5*T2^7 + 10219*T1^6*T2^7 - 
     3178*T1^7*T2^7 - 3178*T1^8*T2^7 + 10219*T1^9*T2^7 - 2025*T1^10*T2^7 - 
     5105*T1^11*T2^7 + 2136*T1^12*T2^7 + 261*T1^13*T2^7 - 144*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 190*T1^2*T2^8 - 1688*T1^3*T2^8 + 
     508*T1^4*T2^8 + 8060*T1^5*T2^8 - 9025*T1^6*T2^8 - 3178*T1^7*T2^8 + 
     5640*T1^8*T2^8 - 3178*T1^9*T2^8 - 9025*T1^10*T2^8 + 8060*T1^11*T2^8 + 
     508*T1^12*T2^8 - 1688*T1^13*T2^8 + 190*T1^14*T2^8 + 56*T1^15*T2^8 + 
     T1^16*T2^8 - 8*T1*T2^9 - 144*T1^2*T2^9 + 261*T1^3*T2^9 + 
     2136*T1^4*T2^9 - 5105*T1^5*T2^9 - 2025*T1^6*T2^9 + 10219*T1^7*T2^9 - 
     3178*T1^8*T2^9 - 3178*T1^9*T2^9 + 10219*T1^10*T2^9 - 2025*T1^11*T2^9 - 
     5105*T1^12*T2^9 + 2136*T1^13*T2^9 + 261*T1^14*T2^9 - 144*T1^15*T2^9 - 
     8*T1^16*T2^9 + 26*T1^2*T2^10 + 160*T1^3*T2^10 - 895*T1^4*T2^10 - 
     585*T1^5*T2^10 + 5416*T1^6*T2^10 - 2025*T1^7*T2^10 - 9025*T1^8*T2^10 + 
     10219*T1^9*T2^10 - 9025*T1^10*T2^10 - 2025*T1^11*T2^10 + 
     5416*T1^12*T2^10 - 585*T1^13*T2^10 - 895*T1^14*T2^10 + 160*T1^15*T2^10 + 
     26*T1^16*T2^10 - 46*T1^3*T2^11 - 56*T1^4*T2^11 + 1010*T1^5*T2^11 - 
     585*T1^6*T2^11 - 5105*T1^7*T2^11 + 8060*T1^8*T2^11 - 2025*T1^9*T2^11 - 
     2025*T1^10*T2^11 + 8060*T1^11*T2^11 - 5105*T1^12*T2^11 - 
     585*T1^13*T2^11 + 1010*T1^14*T2^11 - 56*T1^15*T2^11 - 46*T1^16*T2^11 + 
     53*T1^4*T2^12 - 56*T1^5*T2^12 - 895*T1^6*T2^12 + 2136*T1^7*T2^12 + 
     508*T1^8*T2^12 - 5105*T1^9*T2^12 + 5416*T1^10*T2^12 - 5105*T1^11*T2^12 + 
     508*T1^12*T2^12 + 2136*T1^13*T2^12 - 895*T1^14*T2^12 - 56*T1^15*T2^12 + 
     53*T1^16*T2^12 - 46*T1^5*T2^13 + 160*T1^6*T2^13 + 261*T1^7*T2^13 - 
     1688*T1^8*T2^13 + 2136*T1^9*T2^13 - 585*T1^10*T2^13 - 585*T1^11*T2^13 + 
     2136*T1^12*T2^13 - 1688*T1^13*T2^13 + 261*T1^14*T2^13 + 
     160*T1^15*T2^13 - 46*T1^16*T2^13 + 26*T1^6*T2^14 - 144*T1^7*T2^14 + 
     190*T1^8*T2^14 + 261*T1^9*T2^14 - 895*T1^10*T2^14 + 1010*T1^11*T2^14 - 
     895*T1^12*T2^14 + 261*T1^13*T2^14 + 190*T1^14*T2^14 - 144*T1^15*T2^14 + 
     26*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 144*T1^9*T2^15 + 
     160*T1^10*T2^15 - 56*T1^11*T2^15 - 56*T1^12*T2^15 + 160*T1^13*T2^15 - 
     144*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
     8*T1^9*T2^16 + 26*T1^10*T2^16 - 46*T1^11*T2^16 + 53*T1^12*T2^16 - 
     46*T1^13*T2^16 + 26*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, 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), -((1 - 8*T1 + 26*T1^2 - 48*T1^3 + 57*T1^4 - 48*T1^5 + 26*T1^6 - 
      8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 144*T1^2*T2 + 176*T1^3*T2 - 
      72*T1^4*T2 - 72*T1^5*T2 + 176*T1^6*T2 - 144*T1^7*T2 + 56*T1^8*T2 - 
      8*T1^9*T2 + 26*T2^2 - 144*T1*T2^2 + 190*T1^2*T2^2 + 210*T1^3*T2^2 - 
      922*T1^4*T2^2 + 1166*T1^5*T2^2 - 922*T1^6*T2^2 + 210*T1^7*T2^2 + 
      190*T1^8*T2^2 - 144*T1^9*T2^2 + 26*T1^10*T2^2 - 48*T2^3 + 176*T1*T2^3 + 
      210*T1^2*T2^3 - 1516*T1^3*T2^3 + 2298*T1^4*T2^3 - 878*T1^5*T2^3 - 
      878*T1^6*T2^3 + 2298*T1^7*T2^3 - 1516*T1^8*T2^3 + 210*T1^9*T2^3 + 
      176*T1^10*T2^3 - 48*T1^11*T2^3 + 57*T2^4 - 72*T1*T2^4 - 922*T1^2*T2^4 + 
      2298*T1^3*T2^4 - 652*T1^4*T2^4 - 4180*T1^5*T2^4 + 5562*T1^6*T2^4 - 
      4180*T1^7*T2^4 - 652*T1^8*T2^4 + 2298*T1^9*T2^4 - 922*T1^10*T2^4 - 
      72*T1^11*T2^4 + 57*T1^12*T2^4 - 48*T2^5 - 72*T1*T2^5 + 1166*T1^2*T2^5 - 
      878*T1^3*T2^5 - 4180*T1^4*T2^5 + 8858*T1^5*T2^5 - 3430*T1^6*T2^5 - 
      3430*T1^7*T2^5 + 8858*T1^8*T2^5 - 4180*T1^9*T2^5 - 878*T1^10*T2^5 + 
      1166*T1^11*T2^5 - 72*T1^12*T2^5 - 48*T1^13*T2^5 + 26*T2^6 + 
      176*T1*T2^6 - 922*T1^2*T2^6 - 878*T1^3*T2^6 + 5562*T1^4*T2^6 - 
      3430*T1^5*T2^6 - 10012*T1^6*T2^6 + 14528*T1^7*T2^6 - 10012*T1^8*T2^6 - 
      3430*T1^9*T2^6 + 5562*T1^10*T2^6 - 878*T1^11*T2^6 - 922*T1^12*T2^6 + 
      176*T1^13*T2^6 + 26*T1^14*T2^6 - 8*T2^7 - 144*T1*T2^7 + 210*T1^2*T2^7 + 
      2298*T1^3*T2^7 - 4180*T1^4*T2^7 - 3430*T1^5*T2^7 + 14528*T1^6*T2^7 - 
      6480*T1^7*T2^7 - 6480*T1^8*T2^7 + 14528*T1^9*T2^7 - 3430*T1^10*T2^7 - 
      4180*T1^11*T2^7 + 2298*T1^12*T2^7 + 210*T1^13*T2^7 - 144*T1^14*T2^7 - 
      8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 190*T1^2*T2^8 - 1516*T1^3*T2^8 - 
      652*T1^4*T2^8 + 8858*T1^5*T2^8 - 10012*T1^6*T2^8 - 6480*T1^7*T2^8 + 
      13116*T1^8*T2^8 - 6480*T1^9*T2^8 - 10012*T1^10*T2^8 + 8858*T1^11*T2^8 - 
      652*T1^12*T2^8 - 1516*T1^13*T2^8 + 190*T1^14*T2^8 + 56*T1^15*T2^8 + 
      T1^16*T2^8 - 8*T1*T2^9 - 144*T1^2*T2^9 + 210*T1^3*T2^9 + 
      2298*T1^4*T2^9 - 4180*T1^5*T2^9 - 3430*T1^6*T2^9 + 14528*T1^7*T2^9 - 
      6480*T1^8*T2^9 - 6480*T1^9*T2^9 + 14528*T1^10*T2^9 - 3430*T1^11*T2^9 - 
      4180*T1^12*T2^9 + 2298*T1^13*T2^9 + 210*T1^14*T2^9 - 144*T1^15*T2^9 - 
      8*T1^16*T2^9 + 26*T1^2*T2^10 + 176*T1^3*T2^10 - 922*T1^4*T2^10 - 
      878*T1^5*T2^10 + 5562*T1^6*T2^10 - 3430*T1^7*T2^10 - 10012*T1^8*T2^10 + 
      14528*T1^9*T2^10 - 10012*T1^10*T2^10 - 3430*T1^11*T2^10 + 
      5562*T1^12*T2^10 - 878*T1^13*T2^10 - 922*T1^14*T2^10 + 
      176*T1^15*T2^10 + 26*T1^16*T2^10 - 48*T1^3*T2^11 - 72*T1^4*T2^11 + 
      1166*T1^5*T2^11 - 878*T1^6*T2^11 - 4180*T1^7*T2^11 + 8858*T1^8*T2^11 - 
      3430*T1^9*T2^11 - 3430*T1^10*T2^11 + 8858*T1^11*T2^11 - 
      4180*T1^12*T2^11 - 878*T1^13*T2^11 + 1166*T1^14*T2^11 - 
      72*T1^15*T2^11 - 48*T1^16*T2^11 + 57*T1^4*T2^12 - 72*T1^5*T2^12 - 
      922*T1^6*T2^12 + 2298*T1^7*T2^12 - 652*T1^8*T2^12 - 4180*T1^9*T2^12 + 
      5562*T1^10*T2^12 - 4180*T1^11*T2^12 - 652*T1^12*T2^12 + 
      2298*T1^13*T2^12 - 922*T1^14*T2^12 - 72*T1^15*T2^12 + 57*T1^16*T2^12 - 
      48*T1^5*T2^13 + 176*T1^6*T2^13 + 210*T1^7*T2^13 - 1516*T1^8*T2^13 + 
      2298*T1^9*T2^13 - 878*T1^10*T2^13 - 878*T1^11*T2^13 + 
      2298*T1^12*T2^13 - 1516*T1^13*T2^13 + 210*T1^14*T2^13 + 
      176*T1^15*T2^13 - 48*T1^16*T2^13 + 26*T1^6*T2^14 - 144*T1^7*T2^14 + 
      190*T1^8*T2^14 + 210*T1^9*T2^14 - 922*T1^10*T2^14 + 1166*T1^11*T2^14 - 
      922*T1^12*T2^14 + 210*T1^13*T2^14 + 190*T1^14*T2^14 - 144*T1^15*T2^14 + 
      26*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 144*T1^9*T2^15 + 
      176*T1^10*T2^15 - 72*T1^11*T2^15 - 72*T1^12*T2^15 + 176*T1^13*T2^15 - 
      144*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
      8*T1^9*T2^16 + 26*T1^10*T2^16 - 48*T1^11*T2^16 + 57*T1^12*T2^16 - 
      48*T1^13*T2^16 + 26*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, 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, 
   (T1 - T1^2 - T1^4 + T1^5 + T2 - 12*T1*T2 + 10*T1^2*T2 - T1^3*T2 - 
     T1^4*T2 + 10*T1^5*T2 - 12*T1^6*T2 + T1^7*T2 - T2^2 + 10*T1*T2^2 + 
     71*T1^2*T2^2 - 133*T1^3*T2^2 + 145*T1^4*T2^2 - 133*T1^5*T2^2 + 
     71*T1^6*T2^2 + 10*T1^7*T2^2 - T1^8*T2^2 - T1*T2^3 - 133*T1^2*T2^3 + 
     52*T1^3*T2^3 - 6*T1^4*T2^3 - 6*T1^5*T2^3 + 52*T1^6*T2^3 - 
     133*T1^7*T2^3 - T1^8*T2^3 - T2^4 - T1*T2^4 + 145*T1^2*T2^4 - 
     6*T1^3*T2^4 + 336*T1^4*T2^4 - 468*T1^5*T2^4 + 336*T1^6*T2^4 - 
     6*T1^7*T2^4 + 145*T1^8*T2^4 - T1^9*T2^4 - T1^10*T2^4 + T2^5 + 
     10*T1*T2^5 - 133*T1^2*T2^5 - 6*T1^3*T2^5 - 468*T1^4*T2^5 + 
     172*T1^5*T2^5 + 172*T1^6*T2^5 - 468*T1^7*T2^5 - 6*T1^8*T2^5 - 
     133*T1^9*T2^5 + 10*T1^10*T2^5 + T1^11*T2^5 - 12*T1*T2^6 + 71*T1^2*T2^6 + 
     52*T1^3*T2^6 + 336*T1^4*T2^6 + 172*T1^5*T2^6 - 216*T1^6*T2^6 + 
     172*T1^7*T2^6 + 336*T1^8*T2^6 + 52*T1^9*T2^6 + 71*T1^10*T2^6 - 
     12*T1^11*T2^6 + T1*T2^7 + 10*T1^2*T2^7 - 133*T1^3*T2^7 - 6*T1^4*T2^7 - 
     468*T1^5*T2^7 + 172*T1^6*T2^7 + 172*T1^7*T2^7 - 468*T1^8*T2^7 - 
     6*T1^9*T2^7 - 133*T1^10*T2^7 + 10*T1^11*T2^7 + T1^12*T2^7 - T1^2*T2^8 - 
     T1^3*T2^8 + 145*T1^4*T2^8 - 6*T1^5*T2^8 + 336*T1^6*T2^8 - 
     468*T1^7*T2^8 + 336*T1^8*T2^8 - 6*T1^9*T2^8 + 145*T1^10*T2^8 - 
     T1^11*T2^8 - T1^12*T2^8 - T1^4*T2^9 - 133*T1^5*T2^9 + 52*T1^6*T2^9 - 
     6*T1^7*T2^9 - 6*T1^8*T2^9 + 52*T1^9*T2^9 - 133*T1^10*T2^9 - T1^11*T2^9 - 
     T1^4*T2^10 + 10*T1^5*T2^10 + 71*T1^6*T2^10 - 133*T1^7*T2^10 + 
     145*T1^8*T2^10 - 133*T1^9*T2^10 + 71*T1^10*T2^10 + 10*T1^11*T2^10 - 
     T1^12*T2^10 + T1^5*T2^11 - 12*T1^6*T2^11 + 10*T1^7*T2^11 - T1^8*T2^11 - 
     T1^9*T2^11 + 10*T1^10*T2^11 - 12*T1^11*T2^11 + T1^12*T2^11 + 
     T1^7*T2^12 - T1^8*T2^12 - T1^10*T2^12 + T1^11*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 140] -> 
  {-((2 - 15*T + 43*T^2 - 61*T^3 + 43*T^4 - 15*T^5 + 2*T^6)/T^3), 
   -((1 - 8*T1 + 24*T1^2 - 35*T1^3 + 24*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
      56*T1*T2 - 128*T1^2*T2 + 88*T1^3*T2 + 88*T1^4*T2 - 128*T1^5*T2 + 
      56*T1^6*T2 - 8*T1^7*T2 + 24*T2^2 - 128*T1*T2^2 + 89*T1^2*T2^2 + 
      498*T1^3*T2^2 - 1077*T1^4*T2^2 + 498*T1^5*T2^2 + 89*T1^6*T2^2 - 
      128*T1^7*T2^2 + 24*T1^8*T2^2 - 35*T2^3 + 88*T1*T2^3 + 498*T1^2*T2^3 - 
      1854*T1^3*T2^3 + 1527*T1^4*T2^3 + 1527*T1^5*T2^3 - 1854*T1^6*T2^3 + 
      498*T1^7*T2^3 + 88*T1^8*T2^3 - 35*T1^9*T2^3 + 24*T2^4 + 88*T1*T2^4 - 
      1077*T1^2*T2^4 + 1527*T1^3*T2^4 + 2330*T1^4*T2^4 - 6956*T1^5*T2^4 + 
      2330*T1^6*T2^4 + 1527*T1^7*T2^4 - 1077*T1^8*T2^4 + 88*T1^9*T2^4 + 
      24*T1^10*T2^4 - 8*T2^5 - 128*T1*T2^5 + 498*T1^2*T2^5 + 1527*T1^3*T2^5 - 
      6956*T1^4*T2^5 + 6102*T1^5*T2^5 + 6102*T1^6*T2^5 - 6956*T1^7*T2^5 + 
      1527*T1^8*T2^5 + 498*T1^9*T2^5 - 128*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
      56*T1*T2^6 + 89*T1^2*T2^6 - 1854*T1^3*T2^6 + 2330*T1^4*T2^6 + 
      6102*T1^5*T2^6 - 15948*T1^6*T2^6 + 6102*T1^7*T2^6 + 2330*T1^8*T2^6 - 
      1854*T1^9*T2^6 + 89*T1^10*T2^6 + 56*T1^11*T2^6 + T1^12*T2^6 - 
      8*T1*T2^7 - 128*T1^2*T2^7 + 498*T1^3*T2^7 + 1527*T1^4*T2^7 - 
      6956*T1^5*T2^7 + 6102*T1^6*T2^7 + 6102*T1^7*T2^7 - 6956*T1^8*T2^7 + 
      1527*T1^9*T2^7 + 498*T1^10*T2^7 - 128*T1^11*T2^7 - 8*T1^12*T2^7 + 
      24*T1^2*T2^8 + 88*T1^3*T2^8 - 1077*T1^4*T2^8 + 1527*T1^5*T2^8 + 
      2330*T1^6*T2^8 - 6956*T1^7*T2^8 + 2330*T1^8*T2^8 + 1527*T1^9*T2^8 - 
      1077*T1^10*T2^8 + 88*T1^11*T2^8 + 24*T1^12*T2^8 - 35*T1^3*T2^9 + 
      88*T1^4*T2^9 + 498*T1^5*T2^9 - 1854*T1^6*T2^9 + 1527*T1^7*T2^9 + 
      1527*T1^8*T2^9 - 1854*T1^9*T2^9 + 498*T1^10*T2^9 + 88*T1^11*T2^9 - 
      35*T1^12*T2^9 + 24*T1^4*T2^10 - 128*T1^5*T2^10 + 89*T1^6*T2^10 + 
      498*T1^7*T2^10 - 1077*T1^8*T2^10 + 498*T1^9*T2^10 + 89*T1^10*T2^10 - 
      128*T1^11*T2^10 + 24*T1^12*T2^10 - 8*T1^5*T2^11 + 56*T1^6*T2^11 - 
      128*T1^7*T2^11 + 88*T1^8*T2^11 + 88*T1^9*T2^11 - 128*T1^10*T2^11 + 
      56*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
      24*T1^8*T2^12 - 35*T1^9*T2^12 + 24*T1^10*T2^12 - 8*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   -((1 - 3*T1 + 3*T1^3 - 3*T1^5 + T1^6 - 3*T2 - 2*T1*T2 + 42*T1^2*T2 - 
      30*T1^3*T2 - 30*T1^4*T2 + 42*T1^5*T2 - 2*T1^6*T2 - 3*T1^7*T2 + 
      42*T1*T2^2 - 114*T1^2*T2^2 - 139*T1^3*T2^2 + 328*T1^4*T2^2 - 
      139*T1^5*T2^2 - 114*T1^6*T2^2 + 42*T1^7*T2^2 + 3*T2^3 - 30*T1*T2^3 - 
      139*T1^2*T2^3 + 908*T1^3*T2^3 - 557*T1^4*T2^3 - 557*T1^5*T2^3 + 
      908*T1^6*T2^3 - 139*T1^7*T2^3 - 30*T1^8*T2^3 + 3*T1^9*T2^3 - 
      30*T1*T2^4 + 328*T1^2*T2^4 - 557*T1^3*T2^4 - 1851*T1^4*T2^4 + 
      3297*T1^5*T2^4 - 1851*T1^6*T2^4 - 557*T1^7*T2^4 + 328*T1^8*T2^4 - 
      30*T1^9*T2^4 - 3*T2^5 + 42*T1*T2^5 - 139*T1^2*T2^5 - 557*T1^3*T2^5 + 
      3297*T1^4*T2^5 - 1866*T1^5*T2^5 - 1866*T1^6*T2^5 + 3297*T1^7*T2^5 - 
      557*T1^8*T2^5 - 139*T1^9*T2^5 + 42*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 - 
      2*T1*T2^6 - 114*T1^2*T2^6 + 908*T1^3*T2^6 - 1851*T1^4*T2^6 - 
      1866*T1^5*T2^6 + 4020*T1^6*T2^6 - 1866*T1^7*T2^6 - 1851*T1^8*T2^6 + 
      908*T1^9*T2^6 - 114*T1^10*T2^6 - 2*T1^11*T2^6 + T1^12*T2^6 - 
      3*T1*T2^7 + 42*T1^2*T2^7 - 139*T1^3*T2^7 - 557*T1^4*T2^7 + 
      3297*T1^5*T2^7 - 1866*T1^6*T2^7 - 1866*T1^7*T2^7 + 3297*T1^8*T2^7 - 
      557*T1^9*T2^7 - 139*T1^10*T2^7 + 42*T1^11*T2^7 - 3*T1^12*T2^7 - 
      30*T1^3*T2^8 + 328*T1^4*T2^8 - 557*T1^5*T2^8 - 1851*T1^6*T2^8 + 
      3297*T1^7*T2^8 - 1851*T1^8*T2^8 - 557*T1^9*T2^8 + 328*T1^10*T2^8 - 
      30*T1^11*T2^8 + 3*T1^3*T2^9 - 30*T1^4*T2^9 - 139*T1^5*T2^9 + 
      908*T1^6*T2^9 - 557*T1^7*T2^9 - 557*T1^8*T2^9 + 908*T1^9*T2^9 - 
      139*T1^10*T2^9 - 30*T1^11*T2^9 + 3*T1^12*T2^9 + 42*T1^5*T2^10 - 
      114*T1^6*T2^10 - 139*T1^7*T2^10 + 328*T1^8*T2^10 - 139*T1^9*T2^10 - 
      114*T1^10*T2^10 + 42*T1^11*T2^10 - 3*T1^5*T2^11 - 2*T1^6*T2^11 + 
      42*T1^7*T2^11 - 30*T1^8*T2^11 - 30*T1^9*T2^11 + 42*T1^10*T2^11 - 
      2*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)/(T1^6*T2^6))}, 
 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, 
   (2 - 14*T1 + 44*T1^2 - 78*T1^3 + 94*T1^4 - 78*T1^5 + 44*T1^6 - 14*T1^7 + 
     2*T1^8 - 14*T2 + 84*T1*T2 - 210*T1^2*T2 + 238*T1^3*T2 - 112*T1^4*T2 - 
     112*T1^5*T2 + 238*T1^6*T2 - 210*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
     44*T2^2 - 210*T1*T2^2 + 325*T1^2*T2^2 + 141*T1^3*T2^2 - 812*T1^4*T2^2 + 
     1209*T1^5*T2^2 - 812*T1^6*T2^2 + 141*T1^7*T2^2 + 325*T1^8*T2^2 - 
     210*T1^9*T2^2 + 44*T1^10*T2^2 - 78*T2^3 + 238*T1*T2^3 + 141*T1^2*T2^3 - 
     1702*T1^3*T2^3 + 2216*T1^4*T2^3 - 1190*T1^5*T2^3 - 1190*T1^6*T2^3 + 
     2216*T1^7*T2^3 - 1702*T1^8*T2^3 + 141*T1^9*T2^3 + 238*T1^10*T2^3 - 
     78*T1^11*T2^3 + 94*T2^4 - 112*T1*T2^4 - 812*T1^2*T2^4 + 2216*T1^3*T2^4 + 
     539*T1^4*T2^4 - 4563*T1^5*T2^4 + 7373*T1^6*T2^4 - 4563*T1^7*T2^4 + 
     539*T1^8*T2^4 + 2216*T1^9*T2^4 - 812*T1^10*T2^4 - 112*T1^11*T2^4 + 
     94*T1^12*T2^4 - 78*T2^5 - 112*T1*T2^5 + 1209*T1^2*T2^5 - 
     1190*T1^3*T2^5 - 4563*T1^4*T2^5 + 6772*T1^5*T2^5 - 4214*T1^6*T2^5 - 
     4214*T1^7*T2^5 + 6772*T1^8*T2^5 - 4563*T1^9*T2^5 - 1190*T1^10*T2^5 + 
     1209*T1^11*T2^5 - 112*T1^12*T2^5 - 78*T1^13*T2^5 + 44*T2^6 + 
     238*T1*T2^6 - 812*T1^2*T2^6 - 1190*T1^3*T2^6 + 7373*T1^4*T2^6 - 
     4214*T1^5*T2^6 - 2116*T1^6*T2^6 + 8418*T1^7*T2^6 - 2116*T1^8*T2^6 - 
     4214*T1^9*T2^6 + 7373*T1^10*T2^6 - 1190*T1^11*T2^6 - 812*T1^12*T2^6 + 
     238*T1^13*T2^6 + 44*T1^14*T2^6 - 14*T2^7 - 210*T1*T2^7 + 141*T1^2*T2^7 + 
     2216*T1^3*T2^7 - 4563*T1^4*T2^7 - 4214*T1^5*T2^7 + 8418*T1^6*T2^7 - 
     6424*T1^7*T2^7 - 6424*T1^8*T2^7 + 8418*T1^9*T2^7 - 4214*T1^10*T2^7 - 
     4563*T1^11*T2^7 + 2216*T1^12*T2^7 + 141*T1^13*T2^7 - 210*T1^14*T2^7 - 
     14*T1^15*T2^7 + 2*T2^8 + 84*T1*T2^8 + 325*T1^2*T2^8 - 1702*T1^3*T2^8 + 
     539*T1^4*T2^8 + 6772*T1^5*T2^8 - 2116*T1^6*T2^8 - 6424*T1^7*T2^8 + 
     15204*T1^8*T2^8 - 6424*T1^9*T2^8 - 2116*T1^10*T2^8 + 6772*T1^11*T2^8 + 
     539*T1^12*T2^8 - 1702*T1^13*T2^8 + 325*T1^14*T2^8 + 84*T1^15*T2^8 + 
     2*T1^16*T2^8 - 14*T1*T2^9 - 210*T1^2*T2^9 + 141*T1^3*T2^9 + 
     2216*T1^4*T2^9 - 4563*T1^5*T2^9 - 4214*T1^6*T2^9 + 8418*T1^7*T2^9 - 
     6424*T1^8*T2^9 - 6424*T1^9*T2^9 + 8418*T1^10*T2^9 - 4214*T1^11*T2^9 - 
     4563*T1^12*T2^9 + 2216*T1^13*T2^9 + 141*T1^14*T2^9 - 210*T1^15*T2^9 - 
     14*T1^16*T2^9 + 44*T1^2*T2^10 + 238*T1^3*T2^10 - 812*T1^4*T2^10 - 
     1190*T1^5*T2^10 + 7373*T1^6*T2^10 - 4214*T1^7*T2^10 - 2116*T1^8*T2^10 + 
     8418*T1^9*T2^10 - 2116*T1^10*T2^10 - 4214*T1^11*T2^10 + 
     7373*T1^12*T2^10 - 1190*T1^13*T2^10 - 812*T1^14*T2^10 + 
     238*T1^15*T2^10 + 44*T1^16*T2^10 - 78*T1^3*T2^11 - 112*T1^4*T2^11 + 
     1209*T1^5*T2^11 - 1190*T1^6*T2^11 - 4563*T1^7*T2^11 + 6772*T1^8*T2^11 - 
     4214*T1^9*T2^11 - 4214*T1^10*T2^11 + 6772*T1^11*T2^11 - 
     4563*T1^12*T2^11 - 1190*T1^13*T2^11 + 1209*T1^14*T2^11 - 
     112*T1^15*T2^11 - 78*T1^16*T2^11 + 94*T1^4*T2^12 - 112*T1^5*T2^12 - 
     812*T1^6*T2^12 + 2216*T1^7*T2^12 + 539*T1^8*T2^12 - 4563*T1^9*T2^12 + 
     7373*T1^10*T2^12 - 4563*T1^11*T2^12 + 539*T1^12*T2^12 + 
     2216*T1^13*T2^12 - 812*T1^14*T2^12 - 112*T1^15*T2^12 + 94*T1^16*T2^12 - 
     78*T1^5*T2^13 + 238*T1^6*T2^13 + 141*T1^7*T2^13 - 1702*T1^8*T2^13 + 
     2216*T1^9*T2^13 - 1190*T1^10*T2^13 - 1190*T1^11*T2^13 + 
     2216*T1^12*T2^13 - 1702*T1^13*T2^13 + 141*T1^14*T2^13 + 
     238*T1^15*T2^13 - 78*T1^16*T2^13 + 44*T1^6*T2^14 - 210*T1^7*T2^14 + 
     325*T1^8*T2^14 + 141*T1^9*T2^14 - 812*T1^10*T2^14 + 1209*T1^11*T2^14 - 
     812*T1^12*T2^14 + 141*T1^13*T2^14 + 325*T1^14*T2^14 - 210*T1^15*T2^14 + 
     44*T1^16*T2^14 - 14*T1^7*T2^15 + 84*T1^8*T2^15 - 210*T1^9*T2^15 + 
     238*T1^10*T2^15 - 112*T1^11*T2^15 - 112*T1^12*T2^15 + 238*T1^13*T2^15 - 
     210*T1^14*T2^15 + 84*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)/
    (T1^8*T2^8)}, 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, (111 - 292*T1 + 436*T1^2 - 471*T1^3 + 471*T1^4 - 471*T1^5 + 
     436*T1^6 - 292*T1^7 + 111*T1^8 - 292*T2 + 480*T1*T2 - 383*T1^2*T2 + 
     94*T1^3*T2 + 94*T1^6*T2 - 383*T1^7*T2 + 480*T1^8*T2 - 292*T1^9*T2 + 
     436*T2^2 - 383*T1*T2^2 + 82*T1^2*T2^2 + 126*T1^3*T2^2 + 161*T1^4*T2^2 - 
     294*T1^5*T2^2 + 161*T1^6*T2^2 + 126*T1^7*T2^2 + 82*T1^8*T2^2 - 
     383*T1^9*T2^2 + 436*T1^10*T2^2 - 471*T2^3 + 94*T1*T2^3 + 126*T1^2*T2^3 - 
     102*T1^3*T2^3 - 301*T1^4*T2^3 + 130*T1^5*T2^3 + 130*T1^6*T2^3 - 
     301*T1^7*T2^3 - 102*T1^8*T2^3 + 126*T1^9*T2^3 + 94*T1^10*T2^3 - 
     471*T1^11*T2^3 + 471*T2^4 + 161*T1^2*T2^4 - 301*T1^3*T2^4 + 
     623*T1^4*T2^4 - 303*T1^5*T2^4 + 289*T1^6*T2^4 - 303*T1^7*T2^4 + 
     623*T1^8*T2^4 - 301*T1^9*T2^4 + 161*T1^10*T2^4 + 471*T1^12*T2^4 - 
     471*T2^5 - 294*T1^2*T2^5 + 130*T1^3*T2^5 - 303*T1^4*T2^5 - 
     28*T1^5*T2^5 - 79*T1^6*T2^5 - 79*T1^7*T2^5 - 28*T1^8*T2^5 - 
     303*T1^9*T2^5 + 130*T1^10*T2^5 - 294*T1^11*T2^5 - 471*T1^13*T2^5 + 
     436*T2^6 + 94*T1*T2^6 + 161*T1^2*T2^6 + 130*T1^3*T2^6 + 289*T1^4*T2^6 - 
     79*T1^5*T2^6 + 200*T1^6*T2^6 + 38*T1^7*T2^6 + 200*T1^8*T2^6 - 
     79*T1^9*T2^6 + 289*T1^10*T2^6 + 130*T1^11*T2^6 + 161*T1^12*T2^6 + 
     94*T1^13*T2^6 + 436*T1^14*T2^6 - 292*T2^7 - 383*T1*T2^7 + 
     126*T1^2*T2^7 - 301*T1^3*T2^7 - 303*T1^4*T2^7 - 79*T1^5*T2^7 + 
     38*T1^6*T2^7 - 196*T1^7*T2^7 - 196*T1^8*T2^7 + 38*T1^9*T2^7 - 
     79*T1^10*T2^7 - 303*T1^11*T2^7 - 301*T1^12*T2^7 + 126*T1^13*T2^7 - 
     383*T1^14*T2^7 - 292*T1^15*T2^7 + 111*T2^8 + 480*T1*T2^8 + 
     82*T1^2*T2^8 - 102*T1^3*T2^8 + 623*T1^4*T2^8 - 28*T1^5*T2^8 + 
     200*T1^6*T2^8 - 196*T1^7*T2^8 + 540*T1^8*T2^8 - 196*T1^9*T2^8 + 
     200*T1^10*T2^8 - 28*T1^11*T2^8 + 623*T1^12*T2^8 - 102*T1^13*T2^8 + 
     82*T1^14*T2^8 + 480*T1^15*T2^8 + 111*T1^16*T2^8 - 292*T1*T2^9 - 
     383*T1^2*T2^9 + 126*T1^3*T2^9 - 301*T1^4*T2^9 - 303*T1^5*T2^9 - 
     79*T1^6*T2^9 + 38*T1^7*T2^9 - 196*T1^8*T2^9 - 196*T1^9*T2^9 + 
     38*T1^10*T2^9 - 79*T1^11*T2^9 - 303*T1^12*T2^9 - 301*T1^13*T2^9 + 
     126*T1^14*T2^9 - 383*T1^15*T2^9 - 292*T1^16*T2^9 + 436*T1^2*T2^10 + 
     94*T1^3*T2^10 + 161*T1^4*T2^10 + 130*T1^5*T2^10 + 289*T1^6*T2^10 - 
     79*T1^7*T2^10 + 200*T1^8*T2^10 + 38*T1^9*T2^10 + 200*T1^10*T2^10 - 
     79*T1^11*T2^10 + 289*T1^12*T2^10 + 130*T1^13*T2^10 + 161*T1^14*T2^10 + 
     94*T1^15*T2^10 + 436*T1^16*T2^10 - 471*T1^3*T2^11 - 294*T1^5*T2^11 + 
     130*T1^6*T2^11 - 303*T1^7*T2^11 - 28*T1^8*T2^11 - 79*T1^9*T2^11 - 
     79*T1^10*T2^11 - 28*T1^11*T2^11 - 303*T1^12*T2^11 + 130*T1^13*T2^11 - 
     294*T1^14*T2^11 - 471*T1^16*T2^11 + 471*T1^4*T2^12 + 161*T1^6*T2^12 - 
     301*T1^7*T2^12 + 623*T1^8*T2^12 - 303*T1^9*T2^12 + 289*T1^10*T2^12 - 
     303*T1^11*T2^12 + 623*T1^12*T2^12 - 301*T1^13*T2^12 + 161*T1^14*T2^12 + 
     471*T1^16*T2^12 - 471*T1^5*T2^13 + 94*T1^6*T2^13 + 126*T1^7*T2^13 - 
     102*T1^8*T2^13 - 301*T1^9*T2^13 + 130*T1^10*T2^13 + 130*T1^11*T2^13 - 
     301*T1^12*T2^13 - 102*T1^13*T2^13 + 126*T1^14*T2^13 + 94*T1^15*T2^13 - 
     471*T1^16*T2^13 + 436*T1^6*T2^14 - 383*T1^7*T2^14 + 82*T1^8*T2^14 + 
     126*T1^9*T2^14 + 161*T1^10*T2^14 - 294*T1^11*T2^14 + 161*T1^12*T2^14 + 
     126*T1^13*T2^14 + 82*T1^14*T2^14 - 383*T1^15*T2^14 + 436*T1^16*T2^14 - 
     292*T1^7*T2^15 + 480*T1^8*T2^15 - 383*T1^9*T2^15 + 94*T1^10*T2^15 + 
     94*T1^13*T2^15 - 383*T1^14*T2^15 + 480*T1^15*T2^15 - 292*T1^16*T2^15 + 
     111*T1^8*T2^16 - 292*T1^9*T2^16 + 436*T1^10*T2^16 - 471*T1^11*T2^16 + 
     471*T1^12*T2^16 - 471*T1^13*T2^16 + 436*T1^14*T2^16 - 292*T1^15*T2^16 + 
     111*T1^16*T2^16)/(T1^8*T2^8)}, Knot[12, Alternating, 144] -> 
  {(6 - 19*T + 32*T^2 - 37*T^3 + 32*T^4 - 19*T^5 + 6*T^6)/T^3, 
   (699 - 2168*T1 + 3612*T1^2 - 4157*T1^3 + 3612*T1^4 - 2168*T1^5 + 
     699*T1^6 - 2168*T2 + 4592*T1*T2 - 4536*T1^2*T2 + 1720*T1^3*T2 + 
     1720*T1^4*T2 - 4536*T1^5*T2 + 4592*T1^6*T2 - 2168*T1^7*T2 + 3612*T2^2 - 
     4536*T1*T2^2 + 1072*T1^2*T2^2 + 3126*T1^3*T2^2 - 4110*T1^4*T2^2 + 
     3126*T1^5*T2^2 + 1072*T1^6*T2^2 - 4536*T1^7*T2^2 + 3612*T1^8*T2^2 - 
     4157*T2^3 + 1720*T1*T2^3 + 3126*T1^2*T2^3 - 4418*T1^3*T2^3 + 
     1145*T1^4*T2^3 + 1145*T1^5*T2^3 - 4418*T1^6*T2^3 + 3126*T1^7*T2^3 + 
     1720*T1^8*T2^3 - 4157*T1^9*T2^3 + 3612*T2^4 + 1720*T1*T2^4 - 
     4110*T1^2*T2^4 + 1145*T1^3*T2^4 + 3407*T1^4*T2^4 - 3179*T1^5*T2^4 + 
     3407*T1^6*T2^4 + 1145*T1^7*T2^4 - 4110*T1^8*T2^4 + 1720*T1^9*T2^4 + 
     3612*T1^10*T2^4 - 2168*T2^5 - 4536*T1*T2^5 + 3126*T1^2*T2^5 + 
     1145*T1^3*T2^5 - 3179*T1^4*T2^5 + 132*T1^5*T2^5 + 132*T1^6*T2^5 - 
     3179*T1^7*T2^5 + 1145*T1^8*T2^5 + 3126*T1^9*T2^5 - 4536*T1^10*T2^5 - 
     2168*T1^11*T2^5 + 699*T2^6 + 4592*T1*T2^6 + 1072*T1^2*T2^6 - 
     4418*T1^3*T2^6 + 3407*T1^4*T2^6 + 132*T1^5*T2^6 + 984*T1^6*T2^6 + 
     132*T1^7*T2^6 + 3407*T1^8*T2^6 - 4418*T1^9*T2^6 + 1072*T1^10*T2^6 + 
     4592*T1^11*T2^6 + 699*T1^12*T2^6 - 2168*T1*T2^7 - 4536*T1^2*T2^7 + 
     3126*T1^3*T2^7 + 1145*T1^4*T2^7 - 3179*T1^5*T2^7 + 132*T1^6*T2^7 + 
     132*T1^7*T2^7 - 3179*T1^8*T2^7 + 1145*T1^9*T2^7 + 3126*T1^10*T2^7 - 
     4536*T1^11*T2^7 - 2168*T1^12*T2^7 + 3612*T1^2*T2^8 + 1720*T1^3*T2^8 - 
     4110*T1^4*T2^8 + 1145*T1^5*T2^8 + 3407*T1^6*T2^8 - 3179*T1^7*T2^8 + 
     3407*T1^8*T2^8 + 1145*T1^9*T2^8 - 4110*T1^10*T2^8 + 1720*T1^11*T2^8 + 
     3612*T1^12*T2^8 - 4157*T1^3*T2^9 + 1720*T1^4*T2^9 + 3126*T1^5*T2^9 - 
     4418*T1^6*T2^9 + 1145*T1^7*T2^9 + 1145*T1^8*T2^9 - 4418*T1^9*T2^9 + 
     3126*T1^10*T2^9 + 1720*T1^11*T2^9 - 4157*T1^12*T2^9 + 3612*T1^4*T2^10 - 
     4536*T1^5*T2^10 + 1072*T1^6*T2^10 + 3126*T1^7*T2^10 - 4110*T1^8*T2^10 + 
     3126*T1^9*T2^10 + 1072*T1^10*T2^10 - 4536*T1^11*T2^10 + 
     3612*T1^12*T2^10 - 2168*T1^5*T2^11 + 4592*T1^6*T2^11 - 4536*T1^7*T2^11 + 
     1720*T1^8*T2^11 + 1720*T1^9*T2^11 - 4536*T1^10*T2^11 + 
     4592*T1^11*T2^11 - 2168*T1^12*T2^11 + 699*T1^6*T2^12 - 2168*T1^7*T2^12 + 
     3612*T1^8*T2^12 - 4157*T1^9*T2^12 + 3612*T1^10*T2^12 - 
     2168*T1^11*T2^12 + 699*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 145] -> 
  {(6 - 21*T + 39*T^2 - 47*T^3 + 39*T^4 - 21*T^5 + 6*T^6)/T^3, 
   (699 - 2400*T1 + 4420*T1^2 - 5309*T1^3 + 4420*T1^4 - 2400*T1^5 + 
     699*T1^6 - 2400*T2 + 5878*T1*T2 - 6998*T1^2*T2 + 3086*T1^3*T2 + 
     3086*T1^4*T2 - 6998*T1^5*T2 + 5878*T1^6*T2 - 2400*T1^7*T2 + 4420*T2^2 - 
     6998*T1*T2^2 + 3673*T1^2*T2^2 + 4615*T1^3*T2^2 - 8427*T1^4*T2^2 + 
     4615*T1^5*T2^2 + 3673*T1^6*T2^2 - 6998*T1^7*T2^2 + 4420*T1^8*T2^2 - 
     5309*T2^3 + 3086*T1*T2^3 + 4615*T1^2*T2^3 - 11066*T1^3*T2^3 + 
     5199*T1^4*T2^3 + 5199*T1^5*T2^3 - 11066*T1^6*T2^3 + 4615*T1^7*T2^3 + 
     3086*T1^8*T2^3 - 5309*T1^9*T2^3 + 4420*T2^4 + 3086*T1*T2^4 - 
     8427*T1^2*T2^4 + 5199*T1^3*T2^4 + 9697*T1^4*T2^4 - 15877*T1^5*T2^4 + 
     9697*T1^6*T2^4 + 5199*T1^7*T2^4 - 8427*T1^8*T2^4 + 3086*T1^9*T2^4 + 
     4420*T1^10*T2^4 - 2400*T2^5 - 6998*T1*T2^5 + 4615*T1^2*T2^5 + 
     5199*T1^3*T2^5 - 15877*T1^4*T2^5 + 7198*T1^5*T2^5 + 7198*T1^6*T2^5 - 
     15877*T1^7*T2^5 + 5199*T1^8*T2^5 + 4615*T1^9*T2^5 - 6998*T1^10*T2^5 - 
     2400*T1^11*T2^5 + 699*T2^6 + 5878*T1*T2^6 + 3673*T1^2*T2^6 - 
     11066*T1^3*T2^6 + 9697*T1^4*T2^6 + 7198*T1^5*T2^6 - 13860*T1^6*T2^6 + 
     7198*T1^7*T2^6 + 9697*T1^8*T2^6 - 11066*T1^9*T2^6 + 3673*T1^10*T2^6 + 
     5878*T1^11*T2^6 + 699*T1^12*T2^6 - 2400*T1*T2^7 - 6998*T1^2*T2^7 + 
     4615*T1^3*T2^7 + 5199*T1^4*T2^7 - 15877*T1^5*T2^7 + 7198*T1^6*T2^7 + 
     7198*T1^7*T2^7 - 15877*T1^8*T2^7 + 5199*T1^9*T2^7 + 4615*T1^10*T2^7 - 
     6998*T1^11*T2^7 - 2400*T1^12*T2^7 + 4420*T1^2*T2^8 + 3086*T1^3*T2^8 - 
     8427*T1^4*T2^8 + 5199*T1^5*T2^8 + 9697*T1^6*T2^8 - 15877*T1^7*T2^8 + 
     9697*T1^8*T2^8 + 5199*T1^9*T2^8 - 8427*T1^10*T2^8 + 3086*T1^11*T2^8 + 
     4420*T1^12*T2^8 - 5309*T1^3*T2^9 + 3086*T1^4*T2^9 + 4615*T1^5*T2^9 - 
     11066*T1^6*T2^9 + 5199*T1^7*T2^9 + 5199*T1^8*T2^9 - 11066*T1^9*T2^9 + 
     4615*T1^10*T2^9 + 3086*T1^11*T2^9 - 5309*T1^12*T2^9 + 4420*T1^4*T2^10 - 
     6998*T1^5*T2^10 + 3673*T1^6*T2^10 + 4615*T1^7*T2^10 - 8427*T1^8*T2^10 + 
     4615*T1^9*T2^10 + 3673*T1^10*T2^10 - 6998*T1^11*T2^10 + 
     4420*T1^12*T2^10 - 2400*T1^5*T2^11 + 5878*T1^6*T2^11 - 6998*T1^7*T2^11 + 
     3086*T1^8*T2^11 + 3086*T1^9*T2^11 - 6998*T1^10*T2^11 + 
     5878*T1^11*T2^11 - 2400*T1^12*T2^11 + 699*T1^6*T2^12 - 2400*T1^7*T2^12 + 
     4420*T1^8*T2^12 - 5309*T1^9*T2^12 + 4420*T1^10*T2^12 - 
     2400*T1^11*T2^12 + 699*T1^12*T2^12)/(T1^6*T2^6)}, 
 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, -((3 - 9*T1 + 18*T1^2 - 21*T1^3 + 21*T1^4 - 21*T1^5 + 
      21*T1^6 - 21*T1^7 + 18*T1^8 - 9*T1^9 + 3*T1^10 - 9*T2 + 18*T1*T2 - 
      27*T1^2*T2 + 9*T1^3*T2 + 9*T1^8*T2 - 27*T1^9*T2 + 18*T1^10*T2 - 
      9*T1^11*T2 + 18*T2^2 - 27*T1*T2^2 + 44*T1^2*T2^2 - 14*T1^3*T2^2 + 
      37*T1^4*T2^2 - 54*T1^5*T2^2 + 54*T1^6*T2^2 - 54*T1^7*T2^2 + 
      37*T1^8*T2^2 - 14*T1^9*T2^2 + 44*T1^10*T2^2 - 27*T1^11*T2^2 + 
      18*T1^12*T2^2 - 21*T2^3 + 9*T1*T2^3 - 14*T1^2*T2^3 - 44*T1^3*T2^3 - 
      19*T1^4*T2^3 + 18*T1^5*T2^3 + 18*T1^8*T2^3 - 19*T1^9*T2^3 - 
      44*T1^10*T2^3 - 14*T1^11*T2^3 + 9*T1^12*T2^3 - 21*T1^13*T2^3 + 
      21*T2^4 + 37*T1^2*T2^4 - 19*T1^3*T2^4 + 165*T1^4*T2^4 - 133*T1^5*T2^4 + 
      119*T1^6*T2^4 - 133*T1^7*T2^4 + 119*T1^8*T2^4 - 133*T1^9*T2^4 + 
      165*T1^10*T2^4 - 19*T1^11*T2^4 + 37*T1^12*T2^4 + 21*T1^14*T2^4 - 
      21*T2^5 - 54*T1^2*T2^5 + 18*T1^3*T2^5 - 133*T1^4*T2^5 + 4*T1^5*T2^5 + 
      11*T1^7*T2^5 + 11*T1^8*T2^5 + 4*T1^10*T2^5 - 133*T1^11*T2^5 + 
      18*T1^12*T2^5 - 54*T1^13*T2^5 - 21*T1^15*T2^5 + 21*T2^6 + 
      54*T1^2*T2^6 + 119*T1^4*T2^6 + 64*T1^6*T2^6 - 63*T1^7*T2^6 + 
      42*T1^8*T2^6 - 63*T1^9*T2^6 + 64*T1^10*T2^6 + 119*T1^12*T2^6 + 
      54*T1^14*T2^6 + 21*T1^16*T2^6 - 21*T2^7 - 54*T1^2*T2^7 - 
      133*T1^4*T2^7 + 11*T1^5*T2^7 - 63*T1^6*T2^7 + 4*T1^7*T2^7 + 
      11*T1^8*T2^7 + 11*T1^9*T2^7 + 4*T1^10*T2^7 - 63*T1^11*T2^7 + 
      11*T1^12*T2^7 - 133*T1^13*T2^7 - 54*T1^15*T2^7 - 21*T1^17*T2^7 + 
      18*T2^8 + 9*T1*T2^8 + 37*T1^2*T2^8 + 18*T1^3*T2^8 + 119*T1^4*T2^8 + 
      11*T1^5*T2^8 + 42*T1^6*T2^8 + 11*T1^7*T2^8 + 14*T1^8*T2^8 - 
      34*T1^9*T2^8 + 14*T1^10*T2^8 + 11*T1^11*T2^8 + 42*T1^12*T2^8 + 
      11*T1^13*T2^8 + 119*T1^14*T2^8 + 18*T1^15*T2^8 + 37*T1^16*T2^8 + 
      9*T1^17*T2^8 + 18*T1^18*T2^8 - 9*T2^9 - 27*T1*T2^9 - 14*T1^2*T2^9 - 
      19*T1^3*T2^9 - 133*T1^4*T2^9 - 63*T1^6*T2^9 + 11*T1^7*T2^9 - 
      34*T1^8*T2^9 + 18*T1^9*T2^9 + 18*T1^10*T2^9 - 34*T1^11*T2^9 + 
      11*T1^12*T2^9 - 63*T1^13*T2^9 - 133*T1^15*T2^9 - 19*T1^16*T2^9 - 
      14*T1^17*T2^9 - 27*T1^18*T2^9 - 9*T1^19*T2^9 + 3*T2^10 + 18*T1*T2^10 + 
      44*T1^2*T2^10 - 44*T1^3*T2^10 + 165*T1^4*T2^10 + 4*T1^5*T2^10 + 
      64*T1^6*T2^10 + 4*T1^7*T2^10 + 14*T1^8*T2^10 + 18*T1^9*T2^10 - 
      36*T1^10*T2^10 + 18*T1^11*T2^10 + 14*T1^12*T2^10 + 4*T1^13*T2^10 + 
      64*T1^14*T2^10 + 4*T1^15*T2^10 + 165*T1^16*T2^10 - 44*T1^17*T2^10 + 
      44*T1^18*T2^10 + 18*T1^19*T2^10 + 3*T1^20*T2^10 - 9*T1*T2^11 - 
      27*T1^2*T2^11 - 14*T1^3*T2^11 - 19*T1^4*T2^11 - 133*T1^5*T2^11 - 
      63*T1^7*T2^11 + 11*T1^8*T2^11 - 34*T1^9*T2^11 + 18*T1^10*T2^11 + 
      18*T1^11*T2^11 - 34*T1^12*T2^11 + 11*T1^13*T2^11 - 63*T1^14*T2^11 - 
      133*T1^16*T2^11 - 19*T1^17*T2^11 - 14*T1^18*T2^11 - 27*T1^19*T2^11 - 
      9*T1^20*T2^11 + 18*T1^2*T2^12 + 9*T1^3*T2^12 + 37*T1^4*T2^12 + 
      18*T1^5*T2^12 + 119*T1^6*T2^12 + 11*T1^7*T2^12 + 42*T1^8*T2^12 + 
      11*T1^9*T2^12 + 14*T1^10*T2^12 - 34*T1^11*T2^12 + 14*T1^12*T2^12 + 
      11*T1^13*T2^12 + 42*T1^14*T2^12 + 11*T1^15*T2^12 + 119*T1^16*T2^12 + 
      18*T1^17*T2^12 + 37*T1^18*T2^12 + 9*T1^19*T2^12 + 18*T1^20*T2^12 - 
      21*T1^3*T2^13 - 54*T1^5*T2^13 - 133*T1^7*T2^13 + 11*T1^8*T2^13 - 
      63*T1^9*T2^13 + 4*T1^10*T2^13 + 11*T1^11*T2^13 + 11*T1^12*T2^13 + 
      4*T1^13*T2^13 - 63*T1^14*T2^13 + 11*T1^15*T2^13 - 133*T1^16*T2^13 - 
      54*T1^18*T2^13 - 21*T1^20*T2^13 + 21*T1^4*T2^14 + 54*T1^6*T2^14 + 
      119*T1^8*T2^14 + 64*T1^10*T2^14 - 63*T1^11*T2^14 + 42*T1^12*T2^14 - 
      63*T1^13*T2^14 + 64*T1^14*T2^14 + 119*T1^16*T2^14 + 54*T1^18*T2^14 + 
      21*T1^20*T2^14 - 21*T1^5*T2^15 - 54*T1^7*T2^15 + 18*T1^8*T2^15 - 
      133*T1^9*T2^15 + 4*T1^10*T2^15 + 11*T1^12*T2^15 + 11*T1^13*T2^15 + 
      4*T1^15*T2^15 - 133*T1^16*T2^15 + 18*T1^17*T2^15 - 54*T1^18*T2^15 - 
      21*T1^20*T2^15 + 21*T1^6*T2^16 + 37*T1^8*T2^16 - 19*T1^9*T2^16 + 
      165*T1^10*T2^16 - 133*T1^11*T2^16 + 119*T1^12*T2^16 - 133*T1^13*T2^16 + 
      119*T1^14*T2^16 - 133*T1^15*T2^16 + 165*T1^16*T2^16 - 19*T1^17*T2^16 + 
      37*T1^18*T2^16 + 21*T1^20*T2^16 - 21*T1^7*T2^17 + 9*T1^8*T2^17 - 
      14*T1^9*T2^17 - 44*T1^10*T2^17 - 19*T1^11*T2^17 + 18*T1^12*T2^17 + 
      18*T1^15*T2^17 - 19*T1^16*T2^17 - 44*T1^17*T2^17 - 14*T1^18*T2^17 + 
      9*T1^19*T2^17 - 21*T1^20*T2^17 + 18*T1^8*T2^18 - 27*T1^9*T2^18 + 
      44*T1^10*T2^18 - 14*T1^11*T2^18 + 37*T1^12*T2^18 - 54*T1^13*T2^18 + 
      54*T1^14*T2^18 - 54*T1^15*T2^18 + 37*T1^16*T2^18 - 14*T1^17*T2^18 + 
      44*T1^18*T2^18 - 27*T1^19*T2^18 + 18*T1^20*T2^18 - 9*T1^9*T2^19 + 
      18*T1^10*T2^19 - 27*T1^11*T2^19 + 9*T1^12*T2^19 + 9*T1^17*T2^19 - 
      27*T1^18*T2^19 + 18*T1^19*T2^19 - 9*T1^20*T2^19 + 3*T1^10*T2^20 - 
      9*T1^11*T2^20 + 18*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 + 18*T1^18*T2^20 - 
      9*T1^19*T2^20 + 3*T1^20*T2^20)/(T1^10*T2^10))}, 
 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, -((17 - 59*T1 + 126*T1^2 - 167*T1^3 + 175*T1^4 - 167*T1^5 + 
      126*T1^6 - 59*T1^7 + 17*T1^8 - 59*T2 + 146*T1*T2 - 233*T1^2*T2 + 
      143*T1^3*T2 - 28*T1^4*T2 - 28*T1^5*T2 + 143*T1^6*T2 - 233*T1^7*T2 + 
      146*T1^8*T2 - 59*T1^9*T2 + 126*T2^2 - 233*T1*T2^2 + 341*T1^2*T2^2 - 
      120*T1^3*T2^2 + 135*T1^4*T2^2 - 263*T1^5*T2^2 + 135*T1^6*T2^2 - 
      120*T1^7*T2^2 + 341*T1^8*T2^2 - 233*T1^9*T2^2 + 126*T1^10*T2^2 - 
      167*T2^3 + 143*T1*T2^3 - 120*T1^2*T2^3 - 346*T1^3*T2^3 + 62*T1^4*T2^3 + 
      131*T1^5*T2^3 + 131*T1^6*T2^3 + 62*T1^7*T2^3 - 346*T1^8*T2^3 - 
      120*T1^9*T2^3 + 143*T1^10*T2^3 - 167*T1^11*T2^3 + 175*T2^4 - 
      28*T1*T2^4 + 135*T1^2*T2^4 + 62*T1^3*T2^4 + 961*T1^4*T2^4 - 
      1121*T1^5*T2^4 + 753*T1^6*T2^4 - 1121*T1^7*T2^4 + 961*T1^8*T2^4 + 
      62*T1^9*T2^4 + 135*T1^10*T2^4 - 28*T1^11*T2^4 + 175*T1^12*T2^4 - 
      167*T2^5 - 28*T1*T2^5 - 263*T1^2*T2^5 + 131*T1^3*T2^5 - 
      1121*T1^4*T2^5 + 434*T1^5*T2^5 + 168*T1^6*T2^5 + 168*T1^7*T2^5 + 
      434*T1^8*T2^5 - 1121*T1^9*T2^5 + 131*T1^10*T2^5 - 263*T1^11*T2^5 - 
      28*T1^12*T2^5 - 167*T1^13*T2^5 + 126*T2^6 + 143*T1*T2^6 + 
      135*T1^2*T2^6 + 131*T1^3*T2^6 + 753*T1^4*T2^6 + 168*T1^5*T2^6 - 
      239*T1^6*T2^6 - 275*T1^7*T2^6 - 239*T1^8*T2^6 + 168*T1^9*T2^6 + 
      753*T1^10*T2^6 + 131*T1^11*T2^6 + 135*T1^12*T2^6 + 143*T1^13*T2^6 + 
      126*T1^14*T2^6 - 59*T2^7 - 233*T1*T2^7 - 120*T1^2*T2^7 + 62*T1^3*T2^7 - 
      1121*T1^4*T2^7 + 168*T1^5*T2^7 - 275*T1^6*T2^7 + 354*T1^7*T2^7 + 
      354*T1^8*T2^7 - 275*T1^9*T2^7 + 168*T1^10*T2^7 - 1121*T1^11*T2^7 + 
      62*T1^12*T2^7 - 120*T1^13*T2^7 - 233*T1^14*T2^7 - 59*T1^15*T2^7 + 
      17*T2^8 + 146*T1*T2^8 + 341*T1^2*T2^8 - 346*T1^3*T2^8 + 961*T1^4*T2^8 + 
      434*T1^5*T2^8 - 239*T1^6*T2^8 + 354*T1^7*T2^8 - 792*T1^8*T2^8 + 
      354*T1^9*T2^8 - 239*T1^10*T2^8 + 434*T1^11*T2^8 + 961*T1^12*T2^8 - 
      346*T1^13*T2^8 + 341*T1^14*T2^8 + 146*T1^15*T2^8 + 17*T1^16*T2^8 - 
      59*T1*T2^9 - 233*T1^2*T2^9 - 120*T1^3*T2^9 + 62*T1^4*T2^9 - 
      1121*T1^5*T2^9 + 168*T1^6*T2^9 - 275*T1^7*T2^9 + 354*T1^8*T2^9 + 
      354*T1^9*T2^9 - 275*T1^10*T2^9 + 168*T1^11*T2^9 - 1121*T1^12*T2^9 + 
      62*T1^13*T2^9 - 120*T1^14*T2^9 - 233*T1^15*T2^9 - 59*T1^16*T2^9 + 
      126*T1^2*T2^10 + 143*T1^3*T2^10 + 135*T1^4*T2^10 + 131*T1^5*T2^10 + 
      753*T1^6*T2^10 + 168*T1^7*T2^10 - 239*T1^8*T2^10 - 275*T1^9*T2^10 - 
      239*T1^10*T2^10 + 168*T1^11*T2^10 + 753*T1^12*T2^10 + 131*T1^13*T2^10 + 
      135*T1^14*T2^10 + 143*T1^15*T2^10 + 126*T1^16*T2^10 - 167*T1^3*T2^11 - 
      28*T1^4*T2^11 - 263*T1^5*T2^11 + 131*T1^6*T2^11 - 1121*T1^7*T2^11 + 
      434*T1^8*T2^11 + 168*T1^9*T2^11 + 168*T1^10*T2^11 + 434*T1^11*T2^11 - 
      1121*T1^12*T2^11 + 131*T1^13*T2^11 - 263*T1^14*T2^11 - 28*T1^15*T2^11 - 
      167*T1^16*T2^11 + 175*T1^4*T2^12 - 28*T1^5*T2^12 + 135*T1^6*T2^12 + 
      62*T1^7*T2^12 + 961*T1^8*T2^12 - 1121*T1^9*T2^12 + 753*T1^10*T2^12 - 
      1121*T1^11*T2^12 + 961*T1^12*T2^12 + 62*T1^13*T2^12 + 135*T1^14*T2^12 - 
      28*T1^15*T2^12 + 175*T1^16*T2^12 - 167*T1^5*T2^13 + 143*T1^6*T2^13 - 
      120*T1^7*T2^13 - 346*T1^8*T2^13 + 62*T1^9*T2^13 + 131*T1^10*T2^13 + 
      131*T1^11*T2^13 + 62*T1^12*T2^13 - 346*T1^13*T2^13 - 120*T1^14*T2^13 + 
      143*T1^15*T2^13 - 167*T1^16*T2^13 + 126*T1^6*T2^14 - 233*T1^7*T2^14 + 
      341*T1^8*T2^14 - 120*T1^9*T2^14 + 135*T1^10*T2^14 - 263*T1^11*T2^14 + 
      135*T1^12*T2^14 - 120*T1^13*T2^14 + 341*T1^14*T2^14 - 233*T1^15*T2^14 + 
      126*T1^16*T2^14 - 59*T1^7*T2^15 + 146*T1^8*T2^15 - 233*T1^9*T2^15 + 
      143*T1^10*T2^15 - 28*T1^11*T2^15 - 28*T1^12*T2^15 + 143*T1^13*T2^15 - 
      233*T1^14*T2^15 + 146*T1^15*T2^15 - 59*T1^16*T2^15 + 17*T1^8*T2^16 - 
      59*T1^9*T2^16 + 126*T1^10*T2^16 - 167*T1^11*T2^16 + 175*T1^12*T2^16 - 
      167*T1^13*T2^16 + 126*T1^14*T2^16 - 59*T1^15*T2^16 + 17*T1^16*T2^16)/
     (T1^8*T2^8))}, 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, -((17 - 67*T1 + 166*T1^2 - 263*T1^3 + 303*T1^4 - 263*T1^5 + 
      166*T1^6 - 67*T1^7 + 17*T1^8 - 67*T2 + 198*T1*T2 - 393*T1^2*T2 + 
      387*T1^3*T2 - 160*T1^4*T2 - 160*T1^5*T2 + 387*T1^6*T2 - 393*T1^7*T2 + 
      198*T1^8*T2 - 67*T1^9*T2 + 166*T2^2 - 393*T1*T2^2 + 736*T1^2*T2^2 - 
      585*T1^3*T2^2 + 349*T1^4*T2^2 - 244*T1^5*T2^2 + 349*T1^6*T2^2 - 
      585*T1^7*T2^2 + 736*T1^8*T2^2 - 393*T1^9*T2^2 + 166*T1^10*T2^2 - 
      263*T2^3 + 387*T1*T2^3 - 585*T1^2*T2^3 - 178*T1^3*T2^3 + 
      363*T1^4*T2^3 - 168*T1^5*T2^3 - 168*T1^6*T2^3 + 363*T1^7*T2^3 - 
      178*T1^8*T2^3 - 585*T1^9*T2^3 + 387*T1^10*T2^3 - 263*T1^11*T2^3 + 
      303*T2^4 - 160*T1*T2^4 + 349*T1^2*T2^4 + 363*T1^3*T2^4 + 
      1030*T1^4*T2^4 - 2305*T1^5*T2^4 + 2816*T1^6*T2^4 - 2305*T1^7*T2^4 + 
      1030*T1^8*T2^4 + 363*T1^9*T2^4 + 349*T1^10*T2^4 - 160*T1^11*T2^4 + 
      303*T1^12*T2^4 - 263*T2^5 - 160*T1*T2^5 - 244*T1^2*T2^5 - 
      168*T1^3*T2^5 - 2305*T1^4*T2^5 + 2360*T1^5*T2^5 - 978*T1^6*T2^5 - 
      978*T1^7*T2^5 + 2360*T1^8*T2^5 - 2305*T1^9*T2^5 - 168*T1^10*T2^5 - 
      244*T1^11*T2^5 - 160*T1^12*T2^5 - 263*T1^13*T2^5 + 166*T2^6 + 
      387*T1*T2^6 + 349*T1^2*T2^6 - 168*T1^3*T2^6 + 2816*T1^4*T2^6 - 
      978*T1^5*T2^6 - 640*T1^6*T2^6 + 1316*T1^7*T2^6 - 640*T1^8*T2^6 - 
      978*T1^9*T2^6 + 2816*T1^10*T2^6 - 168*T1^11*T2^6 + 349*T1^12*T2^6 + 
      387*T1^13*T2^6 + 166*T1^14*T2^6 - 67*T2^7 - 393*T1*T2^7 - 
      585*T1^2*T2^7 + 363*T1^3*T2^7 - 2305*T1^4*T2^7 - 978*T1^5*T2^7 + 
      1316*T1^6*T2^7 - 588*T1^7*T2^7 - 588*T1^8*T2^7 + 1316*T1^9*T2^7 - 
      978*T1^10*T2^7 - 2305*T1^11*T2^7 + 363*T1^12*T2^7 - 585*T1^13*T2^7 - 
      393*T1^14*T2^7 - 67*T1^15*T2^7 + 17*T2^8 + 198*T1*T2^8 + 
      736*T1^2*T2^8 - 178*T1^3*T2^8 + 1030*T1^4*T2^8 + 2360*T1^5*T2^8 - 
      640*T1^6*T2^8 - 588*T1^7*T2^8 + 1092*T1^8*T2^8 - 588*T1^9*T2^8 - 
      640*T1^10*T2^8 + 2360*T1^11*T2^8 + 1030*T1^12*T2^8 - 178*T1^13*T2^8 + 
      736*T1^14*T2^8 + 198*T1^15*T2^8 + 17*T1^16*T2^8 - 67*T1*T2^9 - 
      393*T1^2*T2^9 - 585*T1^3*T2^9 + 363*T1^4*T2^9 - 2305*T1^5*T2^9 - 
      978*T1^6*T2^9 + 1316*T1^7*T2^9 - 588*T1^8*T2^9 - 588*T1^9*T2^9 + 
      1316*T1^10*T2^9 - 978*T1^11*T2^9 - 2305*T1^12*T2^9 + 363*T1^13*T2^9 - 
      585*T1^14*T2^9 - 393*T1^15*T2^9 - 67*T1^16*T2^9 + 166*T1^2*T2^10 + 
      387*T1^3*T2^10 + 349*T1^4*T2^10 - 168*T1^5*T2^10 + 2816*T1^6*T2^10 - 
      978*T1^7*T2^10 - 640*T1^8*T2^10 + 1316*T1^9*T2^10 - 640*T1^10*T2^10 - 
      978*T1^11*T2^10 + 2816*T1^12*T2^10 - 168*T1^13*T2^10 + 
      349*T1^14*T2^10 + 387*T1^15*T2^10 + 166*T1^16*T2^10 - 263*T1^3*T2^11 - 
      160*T1^4*T2^11 - 244*T1^5*T2^11 - 168*T1^6*T2^11 - 2305*T1^7*T2^11 + 
      2360*T1^8*T2^11 - 978*T1^9*T2^11 - 978*T1^10*T2^11 + 2360*T1^11*T2^11 - 
      2305*T1^12*T2^11 - 168*T1^13*T2^11 - 244*T1^14*T2^11 - 
      160*T1^15*T2^11 - 263*T1^16*T2^11 + 303*T1^4*T2^12 - 160*T1^5*T2^12 + 
      349*T1^6*T2^12 + 363*T1^7*T2^12 + 1030*T1^8*T2^12 - 2305*T1^9*T2^12 + 
      2816*T1^10*T2^12 - 2305*T1^11*T2^12 + 1030*T1^12*T2^12 + 
      363*T1^13*T2^12 + 349*T1^14*T2^12 - 160*T1^15*T2^12 + 303*T1^16*T2^12 - 
      263*T1^5*T2^13 + 387*T1^6*T2^13 - 585*T1^7*T2^13 - 178*T1^8*T2^13 + 
      363*T1^9*T2^13 - 168*T1^10*T2^13 - 168*T1^11*T2^13 + 363*T1^12*T2^13 - 
      178*T1^13*T2^13 - 585*T1^14*T2^13 + 387*T1^15*T2^13 - 263*T1^16*T2^13 + 
      166*T1^6*T2^14 - 393*T1^7*T2^14 + 736*T1^8*T2^14 - 585*T1^9*T2^14 + 
      349*T1^10*T2^14 - 244*T1^11*T2^14 + 349*T1^12*T2^14 - 585*T1^13*T2^14 + 
      736*T1^14*T2^14 - 393*T1^15*T2^14 + 166*T1^16*T2^14 - 67*T1^7*T2^15 + 
      198*T1^8*T2^15 - 393*T1^9*T2^15 + 387*T1^10*T2^15 - 160*T1^11*T2^15 - 
      160*T1^12*T2^15 + 387*T1^13*T2^15 - 393*T1^14*T2^15 + 198*T1^15*T2^15 - 
      67*T1^16*T2^15 + 17*T1^8*T2^16 - 67*T1^9*T2^16 + 166*T1^10*T2^16 - 
      263*T1^11*T2^16 + 303*T1^12*T2^16 - 263*T1^13*T2^16 + 166*T1^14*T2^16 - 
      67*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8))}, 
 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), -((1 - 7*T1 + 22*T1^2 - 43*T1^3 + 53*T1^4 - 43*T1^5 + 22*T1^6 - 
      7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 105*T1^2*T2 + 147*T1^3*T2 - 
      70*T1^4*T2 - 70*T1^5*T2 + 147*T1^6*T2 - 105*T1^7*T2 + 42*T1^8*T2 - 
      7*T1^9*T2 + 22*T2^2 - 105*T1*T2^2 + 162*T1^2*T2^2 - 19*T1^3*T2^2 - 
      461*T1^4*T2^2 + 710*T1^5*T2^2 - 461*T1^6*T2^2 - 19*T1^7*T2^2 + 
      162*T1^8*T2^2 - 105*T1^9*T2^2 + 22*T1^10*T2^2 - 43*T2^3 + 147*T1*T2^3 - 
      19*T1^2*T2^3 - 502*T1^3*T2^3 + 1244*T1^4*T2^3 - 633*T1^5*T2^3 - 
      633*T1^6*T2^3 + 1244*T1^7*T2^3 - 502*T1^8*T2^3 - 19*T1^9*T2^3 + 
      147*T1^10*T2^3 - 43*T1^11*T2^3 + 53*T2^4 - 70*T1*T2^4 - 461*T1^2*T2^4 + 
      1244*T1^3*T2^4 - 1569*T1^4*T2^4 - 738*T1^5*T2^4 + 1903*T1^6*T2^4 - 
      738*T1^7*T2^4 - 1569*T1^8*T2^4 + 1244*T1^9*T2^4 - 461*T1^10*T2^4 - 
      70*T1^11*T2^4 + 53*T1^12*T2^4 - 43*T2^5 - 70*T1*T2^5 + 710*T1^2*T2^5 - 
      633*T1^3*T2^5 - 738*T1^4*T2^5 + 4310*T1^5*T2^5 - 2180*T1^6*T2^5 - 
      2180*T1^7*T2^5 + 4310*T1^8*T2^5 - 738*T1^9*T2^5 - 633*T1^10*T2^5 + 
      710*T1^11*T2^5 - 70*T1^12*T2^5 - 43*T1^13*T2^5 + 22*T2^6 + 
      147*T1*T2^6 - 461*T1^2*T2^6 - 633*T1^3*T2^6 + 1903*T1^4*T2^6 - 
      2180*T1^5*T2^6 - 6319*T1^6*T2^6 + 10193*T1^7*T2^6 - 6319*T1^8*T2^6 - 
      2180*T1^9*T2^6 + 1903*T1^10*T2^6 - 633*T1^11*T2^6 - 461*T1^12*T2^6 + 
      147*T1^13*T2^6 + 22*T1^14*T2^6 - 7*T2^7 - 105*T1*T2^7 - 19*T1^2*T2^7 + 
      1244*T1^3*T2^7 - 738*T1^4*T2^7 - 2180*T1^5*T2^7 + 10193*T1^6*T2^7 - 
      4970*T1^7*T2^7 - 4970*T1^8*T2^7 + 10193*T1^9*T2^7 - 2180*T1^10*T2^7 - 
      738*T1^11*T2^7 + 1244*T1^12*T2^7 - 19*T1^13*T2^7 - 105*T1^14*T2^7 - 
      7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 162*T1^2*T2^8 - 502*T1^3*T2^8 - 
      1569*T1^4*T2^8 + 4310*T1^5*T2^8 - 6319*T1^6*T2^8 - 4970*T1^7*T2^8 + 
      10032*T1^8*T2^8 - 4970*T1^9*T2^8 - 6319*T1^10*T2^8 + 4310*T1^11*T2^8 - 
      1569*T1^12*T2^8 - 502*T1^13*T2^8 + 162*T1^14*T2^8 + 42*T1^15*T2^8 + 
      T1^16*T2^8 - 7*T1*T2^9 - 105*T1^2*T2^9 - 19*T1^3*T2^9 + 
      1244*T1^4*T2^9 - 738*T1^5*T2^9 - 2180*T1^6*T2^9 + 10193*T1^7*T2^9 - 
      4970*T1^8*T2^9 - 4970*T1^9*T2^9 + 10193*T1^10*T2^9 - 2180*T1^11*T2^9 - 
      738*T1^12*T2^9 + 1244*T1^13*T2^9 - 19*T1^14*T2^9 - 105*T1^15*T2^9 - 
      7*T1^16*T2^9 + 22*T1^2*T2^10 + 147*T1^3*T2^10 - 461*T1^4*T2^10 - 
      633*T1^5*T2^10 + 1903*T1^6*T2^10 - 2180*T1^7*T2^10 - 6319*T1^8*T2^10 + 
      10193*T1^9*T2^10 - 6319*T1^10*T2^10 - 2180*T1^11*T2^10 + 
      1903*T1^12*T2^10 - 633*T1^13*T2^10 - 461*T1^14*T2^10 + 
      147*T1^15*T2^10 + 22*T1^16*T2^10 - 43*T1^3*T2^11 - 70*T1^4*T2^11 + 
      710*T1^5*T2^11 - 633*T1^6*T2^11 - 738*T1^7*T2^11 + 4310*T1^8*T2^11 - 
      2180*T1^9*T2^11 - 2180*T1^10*T2^11 + 4310*T1^11*T2^11 - 
      738*T1^12*T2^11 - 633*T1^13*T2^11 + 710*T1^14*T2^11 - 70*T1^15*T2^11 - 
      43*T1^16*T2^11 + 53*T1^4*T2^12 - 70*T1^5*T2^12 - 461*T1^6*T2^12 + 
      1244*T1^7*T2^12 - 1569*T1^8*T2^12 - 738*T1^9*T2^12 + 1903*T1^10*T2^12 - 
      738*T1^11*T2^12 - 1569*T1^12*T2^12 + 1244*T1^13*T2^12 - 
      461*T1^14*T2^12 - 70*T1^15*T2^12 + 53*T1^16*T2^12 - 43*T1^5*T2^13 + 
      147*T1^6*T2^13 - 19*T1^7*T2^13 - 502*T1^8*T2^13 + 1244*T1^9*T2^13 - 
      633*T1^10*T2^13 - 633*T1^11*T2^13 + 1244*T1^12*T2^13 - 
      502*T1^13*T2^13 - 19*T1^14*T2^13 + 147*T1^15*T2^13 - 43*T1^16*T2^13 + 
      22*T1^6*T2^14 - 105*T1^7*T2^14 + 162*T1^8*T2^14 - 19*T1^9*T2^14 - 
      461*T1^10*T2^14 + 710*T1^11*T2^14 - 461*T1^12*T2^14 - 19*T1^13*T2^14 + 
      162*T1^14*T2^14 - 105*T1^15*T2^14 + 22*T1^16*T2^14 - 7*T1^7*T2^15 + 
      42*T1^8*T2^15 - 105*T1^9*T2^15 + 147*T1^10*T2^15 - 70*T1^11*T2^15 - 
      70*T1^12*T2^15 + 147*T1^13*T2^15 - 105*T1^14*T2^15 + 42*T1^15*T2^15 - 
      7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 22*T1^10*T2^16 - 
      43*T1^11*T2^16 + 53*T1^12*T2^16 - 43*T1^13*T2^16 + 22*T1^14*T2^16 - 
      7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 150] -> 
  {(4 - 16*T + 36*T^2 - 47*T^3 + 36*T^4 - 16*T^5 + 4*T^6)/T^3, 
   -((80 - 312*T1 + 696*T1^2 - 904*T1^3 + 696*T1^4 - 312*T1^5 + 80*T1^6 - 
      312*T2 + 908*T1*T2 - 1504*T1^2*T2 + 816*T1^3*T2 + 816*T1^4*T2 - 
      1504*T1^5*T2 + 908*T1^6*T2 - 312*T1^7*T2 + 696*T2^2 - 1504*T1*T2^2 + 
      1964*T1^2*T2^2 + 197*T1^3*T2^2 - 1956*T1^4*T2^2 + 197*T1^5*T2^2 + 
      1964*T1^6*T2^2 - 1504*T1^7*T2^2 + 696*T1^8*T2^2 - 904*T2^3 + 
      816*T1*T2^3 + 197*T1^2*T2^3 - 4166*T1^3*T2^3 + 3055*T1^4*T2^3 + 
      3055*T1^5*T2^3 - 4166*T1^6*T2^3 + 197*T1^7*T2^3 + 816*T1^8*T2^3 - 
      904*T1^9*T2^3 + 696*T2^4 + 816*T1*T2^4 - 1956*T1^2*T2^4 + 
      3055*T1^3*T2^4 + 5894*T1^4*T2^4 - 13144*T1^5*T2^4 + 5894*T1^6*T2^4 + 
      3055*T1^7*T2^4 - 1956*T1^8*T2^4 + 816*T1^9*T2^4 + 696*T1^10*T2^4 - 
      312*T2^5 - 1504*T1*T2^5 + 197*T1^2*T2^5 + 3055*T1^3*T2^5 - 
      13144*T1^4*T2^5 + 8880*T1^5*T2^5 + 8880*T1^6*T2^5 - 13144*T1^7*T2^5 + 
      3055*T1^8*T2^5 + 197*T1^9*T2^5 - 1504*T1^10*T2^5 - 312*T1^11*T2^5 + 
      80*T2^6 + 908*T1*T2^6 + 1964*T1^2*T2^6 - 4166*T1^3*T2^6 + 
      5894*T1^4*T2^6 + 8880*T1^5*T2^6 - 20712*T1^6*T2^6 + 8880*T1^7*T2^6 + 
      5894*T1^8*T2^6 - 4166*T1^9*T2^6 + 1964*T1^10*T2^6 + 908*T1^11*T2^6 + 
      80*T1^12*T2^6 - 312*T1*T2^7 - 1504*T1^2*T2^7 + 197*T1^3*T2^7 + 
      3055*T1^4*T2^7 - 13144*T1^5*T2^7 + 8880*T1^6*T2^7 + 8880*T1^7*T2^7 - 
      13144*T1^8*T2^7 + 3055*T1^9*T2^7 + 197*T1^10*T2^7 - 1504*T1^11*T2^7 - 
      312*T1^12*T2^7 + 696*T1^2*T2^8 + 816*T1^3*T2^8 - 1956*T1^4*T2^8 + 
      3055*T1^5*T2^8 + 5894*T1^6*T2^8 - 13144*T1^7*T2^8 + 5894*T1^8*T2^8 + 
      3055*T1^9*T2^8 - 1956*T1^10*T2^8 + 816*T1^11*T2^8 + 696*T1^12*T2^8 - 
      904*T1^3*T2^9 + 816*T1^4*T2^9 + 197*T1^5*T2^9 - 4166*T1^6*T2^9 + 
      3055*T1^7*T2^9 + 3055*T1^8*T2^9 - 4166*T1^9*T2^9 + 197*T1^10*T2^9 + 
      816*T1^11*T2^9 - 904*T1^12*T2^9 + 696*T1^4*T2^10 - 1504*T1^5*T2^10 + 
      1964*T1^6*T2^10 + 197*T1^7*T2^10 - 1956*T1^8*T2^10 + 197*T1^9*T2^10 + 
      1964*T1^10*T2^10 - 1504*T1^11*T2^10 + 696*T1^12*T2^10 - 
      312*T1^5*T2^11 + 908*T1^6*T2^11 - 1504*T1^7*T2^11 + 816*T1^8*T2^11 + 
      816*T1^9*T2^11 - 1504*T1^10*T2^11 + 908*T1^11*T2^11 - 312*T1^12*T2^11 + 
      80*T1^6*T2^12 - 312*T1^7*T2^12 + 696*T1^8*T2^12 - 904*T1^9*T2^12 + 
      696*T1^10*T2^12 - 312*T1^11*T2^12 + 80*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 151] -> 
  {((2 - 3*T + 2*T^2)*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^3, 
   (9 - 59*T1 + 160*T1^2 - 215*T1^3 + 160*T1^4 - 59*T1^5 + 9*T1^6 - 59*T2 + 
     328*T1*T2 - 663*T1^2*T2 + 361*T1^3*T2 + 361*T1^4*T2 - 663*T1^5*T2 + 
     328*T1^6*T2 - 59*T1^7*T2 + 160*T2^2 - 663*T1*T2^2 + 469*T1^2*T2^2 + 
     2028*T1^3*T2^2 - 3589*T1^4*T2^2 + 2028*T1^5*T2^2 + 469*T1^6*T2^2 - 
     663*T1^7*T2^2 + 160*T1^8*T2^2 - 215*T2^3 + 361*T1*T2^3 + 
     2028*T1^2*T2^3 - 6944*T1^3*T2^3 + 4059*T1^4*T2^3 + 4059*T1^5*T2^3 - 
     6944*T1^6*T2^3 + 2028*T1^7*T2^3 + 361*T1^8*T2^3 - 215*T1^9*T2^3 + 
     160*T2^4 + 361*T1*T2^4 - 3589*T1^2*T2^4 + 4059*T1^3*T2^4 + 
     10803*T1^4*T2^4 - 20273*T1^5*T2^4 + 10803*T1^6*T2^4 + 4059*T1^7*T2^4 - 
     3589*T1^8*T2^4 + 361*T1^9*T2^4 + 160*T1^10*T2^4 - 59*T2^5 - 
     663*T1*T2^5 + 2028*T1^2*T2^5 + 4059*T1^3*T2^5 - 20273*T1^4*T2^5 + 
     12222*T1^5*T2^5 + 12222*T1^6*T2^5 - 20273*T1^7*T2^5 + 4059*T1^8*T2^5 + 
     2028*T1^9*T2^5 - 663*T1^10*T2^5 - 59*T1^11*T2^5 + 9*T2^6 + 328*T1*T2^6 + 
     469*T1^2*T2^6 - 6944*T1^3*T2^6 + 10803*T1^4*T2^6 + 12222*T1^5*T2^6 - 
     27492*T1^6*T2^6 + 12222*T1^7*T2^6 + 10803*T1^8*T2^6 - 6944*T1^9*T2^6 + 
     469*T1^10*T2^6 + 328*T1^11*T2^6 + 9*T1^12*T2^6 - 59*T1*T2^7 - 
     663*T1^2*T2^7 + 2028*T1^3*T2^7 + 4059*T1^4*T2^7 - 20273*T1^5*T2^7 + 
     12222*T1^6*T2^7 + 12222*T1^7*T2^7 - 20273*T1^8*T2^7 + 4059*T1^9*T2^7 + 
     2028*T1^10*T2^7 - 663*T1^11*T2^7 - 59*T1^12*T2^7 + 160*T1^2*T2^8 + 
     361*T1^3*T2^8 - 3589*T1^4*T2^8 + 4059*T1^5*T2^8 + 10803*T1^6*T2^8 - 
     20273*T1^7*T2^8 + 10803*T1^8*T2^8 + 4059*T1^9*T2^8 - 3589*T1^10*T2^8 + 
     361*T1^11*T2^8 + 160*T1^12*T2^8 - 215*T1^3*T2^9 + 361*T1^4*T2^9 + 
     2028*T1^5*T2^9 - 6944*T1^6*T2^9 + 4059*T1^7*T2^9 + 4059*T1^8*T2^9 - 
     6944*T1^9*T2^9 + 2028*T1^10*T2^9 + 361*T1^11*T2^9 - 215*T1^12*T2^9 + 
     160*T1^4*T2^10 - 663*T1^5*T2^10 + 469*T1^6*T2^10 + 2028*T1^7*T2^10 - 
     3589*T1^8*T2^10 + 2028*T1^9*T2^10 + 469*T1^10*T2^10 - 663*T1^11*T2^10 + 
     160*T1^12*T2^10 - 59*T1^5*T2^11 + 328*T1^6*T2^11 - 663*T1^7*T2^11 + 
     361*T1^8*T2^11 + 361*T1^9*T2^11 - 663*T1^10*T2^11 + 328*T1^11*T2^11 - 
     59*T1^12*T2^11 + 9*T1^6*T2^12 - 59*T1^7*T2^12 + 160*T1^8*T2^12 - 
     215*T1^9*T2^12 + 160*T1^10*T2^12 - 59*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 152] -> 
  {(9 - 28*T + 39*T^2 - 28*T^3 + 9*T^4)/T^2, 
   (1782 - 5436*T1 + 7542*T1^2 - 5436*T1^3 + 1782*T1^4 - 5436*T2 + 
     11214*T1*T2 - 6477*T1^2*T2 - 6477*T1^3*T2 + 11214*T1^4*T2 - 
     5436*T1^5*T2 + 7542*T2^2 - 6477*T1*T2^2 - 11817*T1^2*T2^2 + 
     25465*T1^3*T2^2 - 11817*T1^4*T2^2 - 6477*T1^5*T2^2 + 7542*T1^6*T2^2 - 
     5436*T2^3 - 6477*T1*T2^3 + 25465*T1^2*T2^3 - 17034*T1^3*T2^3 - 
     17034*T1^4*T2^3 + 25465*T1^5*T2^3 - 6477*T1^6*T2^3 - 5436*T1^7*T2^3 + 
     1782*T2^4 + 11214*T1*T2^4 - 11817*T1^2*T2^4 - 17034*T1^3*T2^4 + 
     40044*T1^4*T2^4 - 17034*T1^5*T2^4 - 11817*T1^6*T2^4 + 11214*T1^7*T2^4 + 
     1782*T1^8*T2^4 - 5436*T1*T2^5 - 6477*T1^2*T2^5 + 25465*T1^3*T2^5 - 
     17034*T1^4*T2^5 - 17034*T1^5*T2^5 + 25465*T1^6*T2^5 - 6477*T1^7*T2^5 - 
     5436*T1^8*T2^5 + 7542*T1^2*T2^6 - 6477*T1^3*T2^6 - 11817*T1^4*T2^6 + 
     25465*T1^5*T2^6 - 11817*T1^6*T2^6 - 6477*T1^7*T2^6 + 7542*T1^8*T2^6 - 
     5436*T1^3*T2^7 + 11214*T1^4*T2^7 - 6477*T1^5*T2^7 - 6477*T1^6*T2^7 + 
     11214*T1^7*T2^7 - 5436*T1^8*T2^7 + 1782*T1^4*T2^8 - 5436*T1^5*T2^8 + 
     7542*T1^6*T2^8 - 5436*T1^7*T2^8 + 1782*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, Alternating, 153] -> 
  {(3 - 11*T + 24*T^2 - 31*T^3 + 24*T^4 - 11*T^5 + 3*T^6)/T^3, 
   -((36 - 130*T1 + 282*T1^2 - 362*T1^3 + 282*T1^4 - 130*T1^5 + 36*T1^6 - 
      130*T2 + 340*T1*T2 - 550*T1^2*T2 + 290*T1^3*T2 + 290*T1^4*T2 - 
      550*T1^5*T2 + 340*T1^6*T2 - 130*T1^7*T2 + 282*T2^2 - 550*T1*T2^2 + 
      768*T1^2*T2^2 - 63*T1^3*T2^2 - 488*T1^4*T2^2 - 63*T1^5*T2^2 + 
      768*T1^6*T2^2 - 550*T1^7*T2^2 + 282*T1^8*T2^2 - 362*T2^3 + 
      290*T1*T2^3 - 63*T1^2*T2^3 - 1286*T1^3*T2^3 + 932*T1^4*T2^3 + 
      932*T1^5*T2^3 - 1286*T1^6*T2^3 - 63*T1^7*T2^3 + 290*T1^8*T2^3 - 
      362*T1^9*T2^3 + 282*T2^4 + 290*T1*T2^4 - 488*T1^2*T2^4 + 
      932*T1^3*T2^4 + 1963*T1^4*T2^4 - 4155*T1^5*T2^4 + 1963*T1^6*T2^4 + 
      932*T1^7*T2^4 - 488*T1^8*T2^4 + 290*T1^9*T2^4 + 282*T1^10*T2^4 - 
      130*T2^5 - 550*T1*T2^5 - 63*T1^2*T2^5 + 932*T1^3*T2^5 - 
      4155*T1^4*T2^5 + 2686*T1^5*T2^5 + 2686*T1^6*T2^5 - 4155*T1^7*T2^5 + 
      932*T1^8*T2^5 - 63*T1^9*T2^5 - 550*T1^10*T2^5 - 130*T1^11*T2^5 + 
      36*T2^6 + 340*T1*T2^6 + 768*T1^2*T2^6 - 1286*T1^3*T2^6 + 
      1963*T1^4*T2^6 + 2686*T1^5*T2^6 - 6144*T1^6*T2^6 + 2686*T1^7*T2^6 + 
      1963*T1^8*T2^6 - 1286*T1^9*T2^6 + 768*T1^10*T2^6 + 340*T1^11*T2^6 + 
      36*T1^12*T2^6 - 130*T1*T2^7 - 550*T1^2*T2^7 - 63*T1^3*T2^7 + 
      932*T1^4*T2^7 - 4155*T1^5*T2^7 + 2686*T1^6*T2^7 + 2686*T1^7*T2^7 - 
      4155*T1^8*T2^7 + 932*T1^9*T2^7 - 63*T1^10*T2^7 - 550*T1^11*T2^7 - 
      130*T1^12*T2^7 + 282*T1^2*T2^8 + 290*T1^3*T2^8 - 488*T1^4*T2^8 + 
      932*T1^5*T2^8 + 1963*T1^6*T2^8 - 4155*T1^7*T2^8 + 1963*T1^8*T2^8 + 
      932*T1^9*T2^8 - 488*T1^10*T2^8 + 290*T1^11*T2^8 + 282*T1^12*T2^8 - 
      362*T1^3*T2^9 + 290*T1^4*T2^9 - 63*T1^5*T2^9 - 1286*T1^6*T2^9 + 
      932*T1^7*T2^9 + 932*T1^8*T2^9 - 1286*T1^9*T2^9 - 63*T1^10*T2^9 + 
      290*T1^11*T2^9 - 362*T1^12*T2^9 + 282*T1^4*T2^10 - 550*T1^5*T2^10 + 
      768*T1^6*T2^10 - 63*T1^7*T2^10 - 488*T1^8*T2^10 - 63*T1^9*T2^10 + 
      768*T1^10*T2^10 - 550*T1^11*T2^10 + 282*T1^12*T2^10 - 130*T1^5*T2^11 + 
      340*T1^6*T2^11 - 550*T1^7*T2^11 + 290*T1^8*T2^11 + 290*T1^9*T2^11 - 
      550*T1^10*T2^11 + 340*T1^11*T2^11 - 130*T1^12*T2^11 + 36*T1^6*T2^12 - 
      130*T1^7*T2^12 + 282*T1^8*T2^12 - 362*T1^9*T2^12 + 282*T1^10*T2^12 - 
      130*T1^11*T2^12 + 36*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 154] -> 
  {-((4 - 24*T + 56*T^2 - 73*T^3 + 56*T^4 - 24*T^5 + 4*T^6)/T^3), 
   -((132 - 786*T1 + 1816*T1^2 - 2362*T1^3 + 1816*T1^4 - 786*T1^5 + 
      132*T1^6 - 786*T2 + 3900*T1*T2 - 6160*T1^2*T2 + 3267*T1^3*T2 + 
      3267*T1^4*T2 - 6160*T1^5*T2 + 3900*T1^6*T2 - 786*T1^7*T2 + 1816*T2^2 - 
      6160*T1*T2^2 - 860*T1^2*T2^2 + 20875*T1^3*T2^2 - 33596*T1^4*T2^2 + 
      20875*T1^5*T2^2 - 860*T1^6*T2^2 - 6160*T1^7*T2^2 + 1816*T1^8*T2^2 - 
      2362*T2^3 + 3267*T1*T2^3 + 20875*T1^2*T2^3 - 44986*T1^3*T2^3 + 
      26639*T1^4*T2^3 + 26639*T1^5*T2^3 - 44986*T1^6*T2^3 + 20875*T1^7*T2^3 + 
      3267*T1^8*T2^3 - 2362*T1^9*T2^3 + 1816*T2^4 + 3267*T1*T2^4 - 
      33596*T1^2*T2^4 + 26639*T1^3*T2^4 + 38116*T1^4*T2^4 - 86744*T1^5*T2^4 + 
      38116*T1^6*T2^4 + 26639*T1^7*T2^4 - 33596*T1^8*T2^4 + 3267*T1^9*T2^4 + 
      1816*T1^10*T2^4 - 786*T2^5 - 6160*T1*T2^5 + 20875*T1^2*T2^5 + 
      26639*T1^3*T2^5 - 86744*T1^4*T2^5 + 56982*T1^5*T2^5 + 56982*T1^6*T2^5 - 
      86744*T1^7*T2^5 + 26639*T1^8*T2^5 + 20875*T1^9*T2^5 - 6160*T1^10*T2^5 - 
      786*T1^11*T2^5 + 132*T2^6 + 3900*T1*T2^6 - 860*T1^2*T2^6 - 
      44986*T1^3*T2^6 + 38116*T1^4*T2^6 + 56982*T1^5*T2^6 - 
      131304*T1^6*T2^6 + 56982*T1^7*T2^6 + 38116*T1^8*T2^6 - 
      44986*T1^9*T2^6 - 860*T1^10*T2^6 + 3900*T1^11*T2^6 + 132*T1^12*T2^6 - 
      786*T1*T2^7 - 6160*T1^2*T2^7 + 20875*T1^3*T2^7 + 26639*T1^4*T2^7 - 
      86744*T1^5*T2^7 + 56982*T1^6*T2^7 + 56982*T1^7*T2^7 - 86744*T1^8*T2^7 + 
      26639*T1^9*T2^7 + 20875*T1^10*T2^7 - 6160*T1^11*T2^7 - 786*T1^12*T2^7 + 
      1816*T1^2*T2^8 + 3267*T1^3*T2^8 - 33596*T1^4*T2^8 + 26639*T1^5*T2^8 + 
      38116*T1^6*T2^8 - 86744*T1^7*T2^8 + 38116*T1^8*T2^8 + 26639*T1^9*T2^8 - 
      33596*T1^10*T2^8 + 3267*T1^11*T2^8 + 1816*T1^12*T2^8 - 2362*T1^3*T2^9 + 
      3267*T1^4*T2^9 + 20875*T1^5*T2^9 - 44986*T1^6*T2^9 + 26639*T1^7*T2^9 + 
      26639*T1^8*T2^9 - 44986*T1^9*T2^9 + 20875*T1^10*T2^9 + 
      3267*T1^11*T2^9 - 2362*T1^12*T2^9 + 1816*T1^4*T2^10 - 6160*T1^5*T2^10 - 
      860*T1^6*T2^10 + 20875*T1^7*T2^10 - 33596*T1^8*T2^10 + 
      20875*T1^9*T2^10 - 860*T1^10*T2^10 - 6160*T1^11*T2^10 + 
      1816*T1^12*T2^10 - 786*T1^5*T2^11 + 3900*T1^6*T2^11 - 6160*T1^7*T2^11 + 
      3267*T1^8*T2^11 + 3267*T1^9*T2^11 - 6160*T1^10*T2^11 + 
      3900*T1^11*T2^11 - 786*T1^12*T2^11 + 132*T1^6*T2^12 - 786*T1^7*T2^12 + 
      1816*T1^8*T2^12 - 2362*T1^9*T2^12 + 1816*T1^10*T2^12 - 
      786*T1^11*T2^12 + 132*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 155] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^3, 
   (7 - 53*T1 + 144*T1^2 - 193*T1^3 + 144*T1^4 - 53*T1^5 + 7*T1^6 - 53*T2 + 
     348*T1*T2 - 689*T1^2*T2 + 371*T1^3*T2 + 371*T1^4*T2 - 689*T1^5*T2 + 
     348*T1^6*T2 - 53*T1^7*T2 + 144*T2^2 - 689*T1*T2^2 + 118*T1^2*T2^2 + 
     3022*T1^3*T2^2 - 4898*T1^4*T2^2 + 3022*T1^5*T2^2 + 118*T1^6*T2^2 - 
     689*T1^7*T2^2 + 144*T1^8*T2^2 - 193*T2^3 + 371*T1*T2^3 + 
     3022*T1^2*T2^3 - 8622*T1^3*T2^3 + 4906*T1^4*T2^3 + 4906*T1^5*T2^3 - 
     8622*T1^6*T2^3 + 3022*T1^7*T2^3 + 371*T1^8*T2^3 - 193*T1^9*T2^3 + 
     144*T2^4 + 371*T1*T2^4 - 4898*T1^2*T2^4 + 4906*T1^3*T2^4 + 
     12042*T1^4*T2^4 - 22816*T1^5*T2^4 + 12042*T1^6*T2^4 + 4906*T1^7*T2^4 - 
     4898*T1^8*T2^4 + 371*T1^9*T2^4 + 144*T1^10*T2^4 - 53*T2^5 - 
     689*T1*T2^5 + 3022*T1^2*T2^5 + 4906*T1^3*T2^5 - 22816*T1^4*T2^5 + 
     13832*T1^5*T2^5 + 13832*T1^6*T2^5 - 22816*T1^7*T2^5 + 4906*T1^8*T2^5 + 
     3022*T1^9*T2^5 - 689*T1^10*T2^5 - 53*T1^11*T2^5 + 7*T2^6 + 348*T1*T2^6 + 
     118*T1^2*T2^6 - 8622*T1^3*T2^6 + 12042*T1^4*T2^6 + 13832*T1^5*T2^6 - 
     31320*T1^6*T2^6 + 13832*T1^7*T2^6 + 12042*T1^8*T2^6 - 8622*T1^9*T2^6 + 
     118*T1^10*T2^6 + 348*T1^11*T2^6 + 7*T1^12*T2^6 - 53*T1*T2^7 - 
     689*T1^2*T2^7 + 3022*T1^3*T2^7 + 4906*T1^4*T2^7 - 22816*T1^5*T2^7 + 
     13832*T1^6*T2^7 + 13832*T1^7*T2^7 - 22816*T1^8*T2^7 + 4906*T1^9*T2^7 + 
     3022*T1^10*T2^7 - 689*T1^11*T2^7 - 53*T1^12*T2^7 + 144*T1^2*T2^8 + 
     371*T1^3*T2^8 - 4898*T1^4*T2^8 + 4906*T1^5*T2^8 + 12042*T1^6*T2^8 - 
     22816*T1^7*T2^8 + 12042*T1^8*T2^8 + 4906*T1^9*T2^8 - 4898*T1^10*T2^8 + 
     371*T1^11*T2^8 + 144*T1^12*T2^8 - 193*T1^3*T2^9 + 371*T1^4*T2^9 + 
     3022*T1^5*T2^9 - 8622*T1^6*T2^9 + 4906*T1^7*T2^9 + 4906*T1^8*T2^9 - 
     8622*T1^9*T2^9 + 3022*T1^10*T2^9 + 371*T1^11*T2^9 - 193*T1^12*T2^9 + 
     144*T1^4*T2^10 - 689*T1^5*T2^10 + 118*T1^6*T2^10 + 3022*T1^7*T2^10 - 
     4898*T1^8*T2^10 + 3022*T1^9*T2^10 + 118*T1^10*T2^10 - 689*T1^11*T2^10 + 
     144*T1^12*T2^10 - 53*T1^5*T2^11 + 348*T1^6*T2^11 - 689*T1^7*T2^11 + 
     371*T1^8*T2^11 + 371*T1^9*T2^11 - 689*T1^10*T2^11 + 348*T1^11*T2^11 - 
     53*T1^12*T2^11 + 7*T1^6*T2^12 - 53*T1^7*T2^12 + 144*T1^8*T2^12 - 
     193*T1^9*T2^12 + 144*T1^10*T2^12 - 53*T1^11*T2^12 + 7*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 156] -> 
  {(11 - 35*T + 49*T^2 - 35*T^3 + 11*T^4)/T^2, 
   (3245 - 10134*T1 + 14129*T1^2 - 10134*T1^3 + 3245*T1^4 - 10134*T2 + 
     21622*T1*T2 - 12563*T1^2*T2 - 12563*T1^3*T2 + 21622*T1^4*T2 - 
     10134*T1^5*T2 + 14129*T2^2 - 12563*T1*T2^2 - 24312*T1^2*T2^2 + 
     51690*T1^3*T2^2 - 24312*T1^4*T2^2 - 12563*T1^5*T2^2 + 14129*T1^6*T2^2 - 
     10134*T2^3 - 12563*T1*T2^3 + 51690*T1^2*T2^3 - 34498*T1^3*T2^3 - 
     34498*T1^4*T2^3 + 51690*T1^5*T2^3 - 12563*T1^6*T2^3 - 10134*T1^7*T2^3 + 
     3245*T2^4 + 21622*T1*T2^4 - 24312*T1^2*T2^4 - 34498*T1^3*T2^4 + 
     81108*T1^4*T2^4 - 34498*T1^5*T2^4 - 24312*T1^6*T2^4 + 21622*T1^7*T2^4 + 
     3245*T1^8*T2^4 - 10134*T1*T2^5 - 12563*T1^2*T2^5 + 51690*T1^3*T2^5 - 
     34498*T1^4*T2^5 - 34498*T1^5*T2^5 + 51690*T1^6*T2^5 - 12563*T1^7*T2^5 - 
     10134*T1^8*T2^5 + 14129*T1^2*T2^6 - 12563*T1^3*T2^6 - 24312*T1^4*T2^6 + 
     51690*T1^5*T2^6 - 24312*T1^6*T2^6 - 12563*T1^7*T2^6 + 14129*T1^8*T2^6 - 
     10134*T1^3*T2^7 + 21622*T1^4*T2^7 - 12563*T1^5*T2^7 - 12563*T1^6*T2^7 + 
     21622*T1^7*T2^7 - 10134*T1^8*T2^7 + 3245*T1^4*T2^8 - 10134*T1^5*T2^8 + 
     14129*T1^6*T2^8 - 10134*T1^7*T2^8 + 3245*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, Alternating, 157] -> 
  {((1 - T + T^2)^2*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^4, 
   -((1 - 5*T1 + 2*T1^2 + T1^3 + 2*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 16*T1*T2 + 
      21*T1^2*T2 - 17*T1^3*T2 - 17*T1^4*T2 + 21*T1^5*T2 + 16*T1^6*T2 - 
      5*T1^7*T2 + 2*T2^2 + 21*T1*T2^2 - 132*T1^2*T2^2 - 60*T1^3*T2^2 + 
      186*T1^4*T2^2 - 60*T1^5*T2^2 - 132*T1^6*T2^2 + 21*T1^7*T2^2 + 
      2*T1^8*T2^2 + T2^3 - 17*T1*T2^3 - 60*T1^2*T2^3 + 768*T1^3*T2^3 - 
      441*T1^4*T2^3 - 441*T1^5*T2^3 + 768*T1^6*T2^3 - 60*T1^7*T2^3 - 
      17*T1^8*T2^3 + T1^9*T2^3 + 2*T2^4 - 17*T1*T2^4 + 186*T1^2*T2^4 - 
      441*T1^3*T2^4 - 1814*T1^4*T2^4 + 3020*T1^5*T2^4 - 1814*T1^6*T2^4 - 
      441*T1^7*T2^4 + 186*T1^8*T2^4 - 17*T1^9*T2^4 + 2*T1^10*T2^4 - 5*T2^5 + 
      21*T1*T2^5 - 60*T1^2*T2^5 - 441*T1^3*T2^5 + 3020*T1^4*T2^5 - 
      1604*T1^5*T2^5 - 1604*T1^6*T2^5 + 3020*T1^7*T2^5 - 441*T1^8*T2^5 - 
      60*T1^9*T2^5 + 21*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 16*T1*T2^6 - 
      132*T1^2*T2^6 + 768*T1^3*T2^6 - 1814*T1^4*T2^6 - 1604*T1^5*T2^6 + 
      3348*T1^6*T2^6 - 1604*T1^7*T2^6 - 1814*T1^8*T2^6 + 768*T1^9*T2^6 - 
      132*T1^10*T2^6 + 16*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 + 
      21*T1^2*T2^7 - 60*T1^3*T2^7 - 441*T1^4*T2^7 + 3020*T1^5*T2^7 - 
      1604*T1^6*T2^7 - 1604*T1^7*T2^7 + 3020*T1^8*T2^7 - 441*T1^9*T2^7 - 
      60*T1^10*T2^7 + 21*T1^11*T2^7 - 5*T1^12*T2^7 + 2*T1^2*T2^8 - 
      17*T1^3*T2^8 + 186*T1^4*T2^8 - 441*T1^5*T2^8 - 1814*T1^6*T2^8 + 
      3020*T1^7*T2^8 - 1814*T1^8*T2^8 - 441*T1^9*T2^8 + 186*T1^10*T2^8 - 
      17*T1^11*T2^8 + 2*T1^12*T2^8 + T1^3*T2^9 - 17*T1^4*T2^9 - 
      60*T1^5*T2^9 + 768*T1^6*T2^9 - 441*T1^7*T2^9 - 441*T1^8*T2^9 + 
      768*T1^9*T2^9 - 60*T1^10*T2^9 - 17*T1^11*T2^9 + T1^12*T2^9 + 
      2*T1^4*T2^10 + 21*T1^5*T2^10 - 132*T1^6*T2^10 - 60*T1^7*T2^10 + 
      186*T1^8*T2^10 - 60*T1^9*T2^10 - 132*T1^10*T2^10 + 21*T1^11*T2^10 + 
      2*T1^12*T2^10 - 5*T1^5*T2^11 + 16*T1^6*T2^11 + 21*T1^7*T2^11 - 
      17*T1^8*T2^11 - 17*T1^9*T2^11 + 21*T1^10*T2^11 + 16*T1^11*T2^11 - 
      5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 2*T1^8*T2^12 + T1^9*T2^12 + 
      2*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 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), -((3 - 21*T1 + 48*T1^2 - 69*T1^3 + 75*T1^4 - 69*T1^5 + 48*T1^6 - 
      21*T1^7 + 3*T1^8 - 21*T2 + 126*T1*T2 - 189*T1^2*T2 + 147*T1^3*T2 - 
      42*T1^4*T2 - 42*T1^5*T2 + 147*T1^6*T2 - 189*T1^7*T2 + 126*T1^8*T2 - 
      21*T1^9*T2 + 48*T2^2 - 189*T1*T2^2 - 192*T1^2*T2^2 + 858*T1^3*T2^2 - 
      1335*T1^4*T2^2 + 1384*T1^5*T2^2 - 1335*T1^6*T2^2 + 858*T1^7*T2^2 - 
      192*T1^8*T2^2 - 189*T1^9*T2^2 + 48*T1^10*T2^2 - 69*T2^3 + 147*T1*T2^3 + 
      858*T1^2*T2^3 - 1450*T1^3*T2^3 + 1088*T1^4*T2^3 - 198*T1^5*T2^3 - 
      198*T1^6*T2^3 + 1088*T1^7*T2^3 - 1450*T1^8*T2^3 + 858*T1^9*T2^3 + 
      147*T1^10*T2^3 - 69*T1^11*T2^3 + 75*T2^4 - 42*T1*T2^4 - 
      1335*T1^2*T2^4 + 1088*T1^3*T2^4 - 94*T1^4*T2^4 - 512*T1^5*T2^4 - 
      16*T1^6*T2^4 - 512*T1^7*T2^4 - 94*T1^8*T2^4 + 1088*T1^9*T2^4 - 
      1335*T1^10*T2^4 - 42*T1^11*T2^4 + 75*T1^12*T2^4 - 69*T2^5 - 
      42*T1*T2^5 + 1384*T1^2*T2^5 - 198*T1^3*T2^5 - 512*T1^4*T2^5 + 
      398*T1^5*T2^5 + 445*T1^6*T2^5 + 445*T1^7*T2^5 + 398*T1^8*T2^5 - 
      512*T1^9*T2^5 - 198*T1^10*T2^5 + 1384*T1^11*T2^5 - 42*T1^12*T2^5 - 
      69*T1^13*T2^5 + 48*T2^6 + 147*T1*T2^6 - 1335*T1^2*T2^6 - 
      198*T1^3*T2^6 - 16*T1^4*T2^6 + 445*T1^5*T2^6 - 1071*T1^6*T2^6 + 
      27*T1^7*T2^6 - 1071*T1^8*T2^6 + 445*T1^9*T2^6 - 16*T1^10*T2^6 - 
      198*T1^11*T2^6 - 1335*T1^12*T2^6 + 147*T1^13*T2^6 + 48*T1^14*T2^6 - 
      21*T2^7 - 189*T1*T2^7 + 858*T1^2*T2^7 + 1088*T1^3*T2^7 - 
      512*T1^4*T2^7 + 445*T1^5*T2^7 + 27*T1^6*T2^7 + 666*T1^7*T2^7 + 
      666*T1^8*T2^7 + 27*T1^9*T2^7 + 445*T1^10*T2^7 - 512*T1^11*T2^7 + 
      1088*T1^12*T2^7 + 858*T1^13*T2^7 - 189*T1^14*T2^7 - 21*T1^15*T2^7 + 
      3*T2^8 + 126*T1*T2^8 - 192*T1^2*T2^8 - 1450*T1^3*T2^8 - 94*T1^4*T2^8 + 
      398*T1^5*T2^8 - 1071*T1^6*T2^8 + 666*T1^7*T2^8 - 1776*T1^8*T2^8 + 
      666*T1^9*T2^8 - 1071*T1^10*T2^8 + 398*T1^11*T2^8 - 94*T1^12*T2^8 - 
      1450*T1^13*T2^8 - 192*T1^14*T2^8 + 126*T1^15*T2^8 + 3*T1^16*T2^8 - 
      21*T1*T2^9 - 189*T1^2*T2^9 + 858*T1^3*T2^9 + 1088*T1^4*T2^9 - 
      512*T1^5*T2^9 + 445*T1^6*T2^9 + 27*T1^7*T2^9 + 666*T1^8*T2^9 + 
      666*T1^9*T2^9 + 27*T1^10*T2^9 + 445*T1^11*T2^9 - 512*T1^12*T2^9 + 
      1088*T1^13*T2^9 + 858*T1^14*T2^9 - 189*T1^15*T2^9 - 21*T1^16*T2^9 + 
      48*T1^2*T2^10 + 147*T1^3*T2^10 - 1335*T1^4*T2^10 - 198*T1^5*T2^10 - 
      16*T1^6*T2^10 + 445*T1^7*T2^10 - 1071*T1^8*T2^10 + 27*T1^9*T2^10 - 
      1071*T1^10*T2^10 + 445*T1^11*T2^10 - 16*T1^12*T2^10 - 198*T1^13*T2^10 - 
      1335*T1^14*T2^10 + 147*T1^15*T2^10 + 48*T1^16*T2^10 - 69*T1^3*T2^11 - 
      42*T1^4*T2^11 + 1384*T1^5*T2^11 - 198*T1^6*T2^11 - 512*T1^7*T2^11 + 
      398*T1^8*T2^11 + 445*T1^9*T2^11 + 445*T1^10*T2^11 + 398*T1^11*T2^11 - 
      512*T1^12*T2^11 - 198*T1^13*T2^11 + 1384*T1^14*T2^11 - 42*T1^15*T2^11 - 
      69*T1^16*T2^11 + 75*T1^4*T2^12 - 42*T1^5*T2^12 - 1335*T1^6*T2^12 + 
      1088*T1^7*T2^12 - 94*T1^8*T2^12 - 512*T1^9*T2^12 - 16*T1^10*T2^12 - 
      512*T1^11*T2^12 - 94*T1^12*T2^12 + 1088*T1^13*T2^12 - 
      1335*T1^14*T2^12 - 42*T1^15*T2^12 + 75*T1^16*T2^12 - 69*T1^5*T2^13 + 
      147*T1^6*T2^13 + 858*T1^7*T2^13 - 1450*T1^8*T2^13 + 1088*T1^9*T2^13 - 
      198*T1^10*T2^13 - 198*T1^11*T2^13 + 1088*T1^12*T2^13 - 
      1450*T1^13*T2^13 + 858*T1^14*T2^13 + 147*T1^15*T2^13 - 69*T1^16*T2^13 + 
      48*T1^6*T2^14 - 189*T1^7*T2^14 - 192*T1^8*T2^14 + 858*T1^9*T2^14 - 
      1335*T1^10*T2^14 + 1384*T1^11*T2^14 - 1335*T1^12*T2^14 + 
      858*T1^13*T2^14 - 192*T1^14*T2^14 - 189*T1^15*T2^14 + 48*T1^16*T2^14 - 
      21*T1^7*T2^15 + 126*T1^8*T2^15 - 189*T1^9*T2^15 + 147*T1^10*T2^15 - 
      42*T1^11*T2^15 - 42*T1^12*T2^15 + 147*T1^13*T2^15 - 189*T1^14*T2^15 + 
      126*T1^15*T2^15 - 21*T1^16*T2^15 + 3*T1^8*T2^16 - 21*T1^9*T2^16 + 
      48*T1^10*T2^16 - 69*T1^11*T2^16 + 75*T1^12*T2^16 - 69*T1^13*T2^16 + 
      48*T1^14*T2^16 - 21*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 159] -> 
  {-((2 - 15*T + 37*T^2 - 49*T^3 + 37*T^4 - 15*T^5 + 2*T^6)/T^3), 
   -((17 - 127*T1 + 312*T1^2 - 413*T1^3 + 312*T1^4 - 127*T1^5 + 17*T1^6 - 
      127*T2 + 822*T1*T2 - 1383*T1^2*T2 + 755*T1^3*T2 + 755*T1^4*T2 - 
      1383*T1^5*T2 + 822*T1^6*T2 - 127*T1^7*T2 + 312*T2^2 - 1383*T1*T2^2 - 
      875*T1^2*T2^2 + 6984*T1^3*T2^2 - 10879*T1^4*T2^2 + 6984*T1^5*T2^2 - 
      875*T1^6*T2^2 - 1383*T1^7*T2^2 + 312*T1^8*T2^2 - 413*T2^3 + 
      755*T1*T2^3 + 6984*T1^2*T2^3 - 14794*T1^3*T2^3 + 8809*T1^4*T2^3 + 
      8809*T1^5*T2^3 - 14794*T1^6*T2^3 + 6984*T1^7*T2^3 + 755*T1^8*T2^3 - 
      413*T1^9*T2^3 + 312*T2^4 + 755*T1*T2^4 - 10879*T1^2*T2^4 + 
      8809*T1^3*T2^4 + 12839*T1^4*T2^4 - 29535*T1^5*T2^4 + 12839*T1^6*T2^4 + 
      8809*T1^7*T2^4 - 10879*T1^8*T2^4 + 755*T1^9*T2^4 + 312*T1^10*T2^4 - 
      127*T2^5 - 1383*T1*T2^5 + 6984*T1^2*T2^5 + 8809*T1^3*T2^5 - 
      29535*T1^4*T2^5 + 19810*T1^5*T2^5 + 19810*T1^6*T2^5 - 29535*T1^7*T2^5 + 
      8809*T1^8*T2^5 + 6984*T1^9*T2^5 - 1383*T1^10*T2^5 - 127*T1^11*T2^5 + 
      17*T2^6 + 822*T1*T2^6 - 875*T1^2*T2^6 - 14794*T1^3*T2^6 + 
      12839*T1^4*T2^6 + 19810*T1^5*T2^6 - 46152*T1^6*T2^6 + 19810*T1^7*T2^6 + 
      12839*T1^8*T2^6 - 14794*T1^9*T2^6 - 875*T1^10*T2^6 + 822*T1^11*T2^6 + 
      17*T1^12*T2^6 - 127*T1*T2^7 - 1383*T1^2*T2^7 + 6984*T1^3*T2^7 + 
      8809*T1^4*T2^7 - 29535*T1^5*T2^7 + 19810*T1^6*T2^7 + 19810*T1^7*T2^7 - 
      29535*T1^8*T2^7 + 8809*T1^9*T2^7 + 6984*T1^10*T2^7 - 1383*T1^11*T2^7 - 
      127*T1^12*T2^7 + 312*T1^2*T2^8 + 755*T1^3*T2^8 - 10879*T1^4*T2^8 + 
      8809*T1^5*T2^8 + 12839*T1^6*T2^8 - 29535*T1^7*T2^8 + 12839*T1^8*T2^8 + 
      8809*T1^9*T2^8 - 10879*T1^10*T2^8 + 755*T1^11*T2^8 + 312*T1^12*T2^8 - 
      413*T1^3*T2^9 + 755*T1^4*T2^9 + 6984*T1^5*T2^9 - 14794*T1^6*T2^9 + 
      8809*T1^7*T2^9 + 8809*T1^8*T2^9 - 14794*T1^9*T2^9 + 6984*T1^10*T2^9 + 
      755*T1^11*T2^9 - 413*T1^12*T2^9 + 312*T1^4*T2^10 - 1383*T1^5*T2^10 - 
      875*T1^6*T2^10 + 6984*T1^7*T2^10 - 10879*T1^8*T2^10 + 6984*T1^9*T2^10 - 
      875*T1^10*T2^10 - 1383*T1^11*T2^10 + 312*T1^12*T2^10 - 127*T1^5*T2^11 + 
      822*T1^6*T2^11 - 1383*T1^7*T2^11 + 755*T1^8*T2^11 + 755*T1^9*T2^11 - 
      1383*T1^10*T2^11 + 822*T1^11*T2^11 - 127*T1^12*T2^11 + 17*T1^6*T2^12 - 
      127*T1^7*T2^12 + 312*T1^8*T2^12 - 413*T1^9*T2^12 + 312*T1^10*T2^12 - 
      127*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, -((17 - 59*T1 + 118*T1^2 - 151*T1^3 + 159*T1^4 - 151*T1^5 + 
      118*T1^6 - 59*T1^7 + 17*T1^8 - 59*T2 + 146*T1*T2 - 205*T1^2*T2 + 
      115*T1^3*T2 - 28*T1^4*T2 - 28*T1^5*T2 + 115*T1^6*T2 - 205*T1^7*T2 + 
      146*T1^8*T2 - 59*T1^9*T2 + 118*T2^2 - 205*T1*T2^2 + 223*T1^2*T2^2 - 
      18*T1^3*T2^2 + 57*T1^4*T2^2 - 121*T1^5*T2^2 + 57*T1^6*T2^2 - 
      18*T1^7*T2^2 + 223*T1^8*T2^2 - 205*T1^9*T2^2 + 118*T1^10*T2^2 - 
      151*T2^3 + 115*T1*T2^3 - 18*T1^2*T2^3 - 290*T1^3*T2^3 + 4*T1^4*T2^3 + 
      57*T1^5*T2^3 + 57*T1^6*T2^3 + 4*T1^7*T2^3 - 290*T1^8*T2^3 - 
      18*T1^9*T2^3 + 115*T1^10*T2^3 - 151*T1^11*T2^3 + 159*T2^4 - 
      28*T1*T2^4 + 57*T1^2*T2^4 + 4*T1^3*T2^4 + 729*T1^4*T2^4 - 
      680*T1^5*T2^4 + 565*T1^6*T2^4 - 680*T1^7*T2^4 + 729*T1^8*T2^4 + 
      4*T1^9*T2^4 + 57*T1^10*T2^4 - 28*T1^11*T2^4 + 159*T1^12*T2^4 - 
      151*T2^5 - 28*T1*T2^5 - 121*T1^2*T2^5 + 57*T1^3*T2^5 - 680*T1^4*T2^5 + 
      112*T1^5*T2^5 + 31*T1^6*T2^5 + 31*T1^7*T2^5 + 112*T1^8*T2^5 - 
      680*T1^9*T2^5 + 57*T1^10*T2^5 - 121*T1^11*T2^5 - 28*T1^12*T2^5 - 
      151*T1^13*T2^5 + 118*T2^6 + 115*T1*T2^6 + 57*T1^2*T2^6 + 57*T1^3*T2^6 + 
      565*T1^4*T2^6 + 31*T1^5*T2^6 + 205*T1^6*T2^6 - 311*T1^7*T2^6 + 
      205*T1^8*T2^6 + 31*T1^9*T2^6 + 565*T1^10*T2^6 + 57*T1^11*T2^6 + 
      57*T1^12*T2^6 + 115*T1^13*T2^6 + 118*T1^14*T2^6 - 59*T2^7 - 
      205*T1*T2^7 - 18*T1^2*T2^7 + 4*T1^3*T2^7 - 680*T1^4*T2^7 + 
      31*T1^5*T2^7 - 311*T1^6*T2^7 + 110*T1^7*T2^7 + 110*T1^8*T2^7 - 
      311*T1^9*T2^7 + 31*T1^10*T2^7 - 680*T1^11*T2^7 + 4*T1^12*T2^7 - 
      18*T1^13*T2^7 - 205*T1^14*T2^7 - 59*T1^15*T2^7 + 17*T2^8 + 
      146*T1*T2^8 + 223*T1^2*T2^8 - 290*T1^3*T2^8 + 729*T1^4*T2^8 + 
      112*T1^5*T2^8 + 205*T1^6*T2^8 + 110*T1^7*T2^8 - 156*T1^8*T2^8 + 
      110*T1^9*T2^8 + 205*T1^10*T2^8 + 112*T1^11*T2^8 + 729*T1^12*T2^8 - 
      290*T1^13*T2^8 + 223*T1^14*T2^8 + 146*T1^15*T2^8 + 17*T1^16*T2^8 - 
      59*T1*T2^9 - 205*T1^2*T2^9 - 18*T1^3*T2^9 + 4*T1^4*T2^9 - 
      680*T1^5*T2^9 + 31*T1^6*T2^9 - 311*T1^7*T2^9 + 110*T1^8*T2^9 + 
      110*T1^9*T2^9 - 311*T1^10*T2^9 + 31*T1^11*T2^9 - 680*T1^12*T2^9 + 
      4*T1^13*T2^9 - 18*T1^14*T2^9 - 205*T1^15*T2^9 - 59*T1^16*T2^9 + 
      118*T1^2*T2^10 + 115*T1^3*T2^10 + 57*T1^4*T2^10 + 57*T1^5*T2^10 + 
      565*T1^6*T2^10 + 31*T1^7*T2^10 + 205*T1^8*T2^10 - 311*T1^9*T2^10 + 
      205*T1^10*T2^10 + 31*T1^11*T2^10 + 565*T1^12*T2^10 + 57*T1^13*T2^10 + 
      57*T1^14*T2^10 + 115*T1^15*T2^10 + 118*T1^16*T2^10 - 151*T1^3*T2^11 - 
      28*T1^4*T2^11 - 121*T1^5*T2^11 + 57*T1^6*T2^11 - 680*T1^7*T2^11 + 
      112*T1^8*T2^11 + 31*T1^9*T2^11 + 31*T1^10*T2^11 + 112*T1^11*T2^11 - 
      680*T1^12*T2^11 + 57*T1^13*T2^11 - 121*T1^14*T2^11 - 28*T1^15*T2^11 - 
      151*T1^16*T2^11 + 159*T1^4*T2^12 - 28*T1^5*T2^12 + 57*T1^6*T2^12 + 
      4*T1^7*T2^12 + 729*T1^8*T2^12 - 680*T1^9*T2^12 + 565*T1^10*T2^12 - 
      680*T1^11*T2^12 + 729*T1^12*T2^12 + 4*T1^13*T2^12 + 57*T1^14*T2^12 - 
      28*T1^15*T2^12 + 159*T1^16*T2^12 - 151*T1^5*T2^13 + 115*T1^6*T2^13 - 
      18*T1^7*T2^13 - 290*T1^8*T2^13 + 4*T1^9*T2^13 + 57*T1^10*T2^13 + 
      57*T1^11*T2^13 + 4*T1^12*T2^13 - 290*T1^13*T2^13 - 18*T1^14*T2^13 + 
      115*T1^15*T2^13 - 151*T1^16*T2^13 + 118*T1^6*T2^14 - 205*T1^7*T2^14 + 
      223*T1^8*T2^14 - 18*T1^9*T2^14 + 57*T1^10*T2^14 - 121*T1^11*T2^14 + 
      57*T1^12*T2^14 - 18*T1^13*T2^14 + 223*T1^14*T2^14 - 205*T1^15*T2^14 + 
      118*T1^16*T2^14 - 59*T1^7*T2^15 + 146*T1^8*T2^15 - 205*T1^9*T2^15 + 
      115*T1^10*T2^15 - 28*T1^11*T2^15 - 28*T1^12*T2^15 + 115*T1^13*T2^15 - 
      205*T1^14*T2^15 + 146*T1^15*T2^15 - 59*T1^16*T2^15 + 17*T1^8*T2^16 - 
      59*T1^9*T2^16 + 118*T1^10*T2^16 - 151*T1^11*T2^16 + 159*T1^12*T2^16 - 
      151*T1^13*T2^16 + 118*T1^14*T2^16 - 59*T1^15*T2^16 + 17*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 161] -> 
  {(4 - 16*T + 34*T^2 - 43*T^3 + 34*T^4 - 16*T^5 + 4*T^6)/T^3, 
   -((80 - 312*T1 + 660*T1^2 - 832*T1^3 + 660*T1^4 - 312*T1^5 + 80*T1^6 - 
      312*T2 + 908*T1*T2 - 1362*T1^2*T2 + 674*T1^3*T2 + 674*T1^4*T2 - 
      1362*T1^5*T2 + 908*T1^6*T2 - 312*T1^7*T2 + 660*T2^2 - 1362*T1*T2^2 + 
      1358*T1^2*T2^2 + 631*T1^3*T2^2 - 1836*T1^4*T2^2 + 631*T1^5*T2^2 + 
      1358*T1^6*T2^2 - 1362*T1^7*T2^2 + 660*T1^8*T2^2 - 832*T2^3 + 
      674*T1*T2^3 + 631*T1^2*T2^3 - 3478*T1^3*T2^3 + 2030*T1^4*T2^3 + 
      2030*T1^5*T2^3 - 3478*T1^6*T2^3 + 631*T1^7*T2^3 + 674*T1^8*T2^3 - 
      832*T1^9*T2^3 + 660*T2^4 + 674*T1*T2^4 - 1836*T1^2*T2^4 + 
      2030*T1^3*T2^4 + 4623*T1^4*T2^4 - 8573*T1^5*T2^4 + 4623*T1^6*T2^4 + 
      2030*T1^7*T2^4 - 1836*T1^8*T2^4 + 674*T1^9*T2^4 + 660*T1^10*T2^4 - 
      312*T2^5 - 1362*T1*T2^5 + 631*T1^2*T2^5 + 2030*T1^3*T2^5 - 
      8573*T1^4*T2^5 + 4878*T1^5*T2^5 + 4878*T1^6*T2^5 - 8573*T1^7*T2^5 + 
      2030*T1^8*T2^5 + 631*T1^9*T2^5 - 1362*T1^10*T2^5 - 312*T1^11*T2^5 + 
      80*T2^6 + 908*T1*T2^6 + 1358*T1^2*T2^6 - 3478*T1^3*T2^6 + 
      4623*T1^4*T2^6 + 4878*T1^5*T2^6 - 10620*T1^6*T2^6 + 4878*T1^7*T2^6 + 
      4623*T1^8*T2^6 - 3478*T1^9*T2^6 + 1358*T1^10*T2^6 + 908*T1^11*T2^6 + 
      80*T1^12*T2^6 - 312*T1*T2^7 - 1362*T1^2*T2^7 + 631*T1^3*T2^7 + 
      2030*T1^4*T2^7 - 8573*T1^5*T2^7 + 4878*T1^6*T2^7 + 4878*T1^7*T2^7 - 
      8573*T1^8*T2^7 + 2030*T1^9*T2^7 + 631*T1^10*T2^7 - 1362*T1^11*T2^7 - 
      312*T1^12*T2^7 + 660*T1^2*T2^8 + 674*T1^3*T2^8 - 1836*T1^4*T2^8 + 
      2030*T1^5*T2^8 + 4623*T1^6*T2^8 - 8573*T1^7*T2^8 + 4623*T1^8*T2^8 + 
      2030*T1^9*T2^8 - 1836*T1^10*T2^8 + 674*T1^11*T2^8 + 660*T1^12*T2^8 - 
      832*T1^3*T2^9 + 674*T1^4*T2^9 + 631*T1^5*T2^9 - 3478*T1^6*T2^9 + 
      2030*T1^7*T2^9 + 2030*T1^8*T2^9 - 3478*T1^9*T2^9 + 631*T1^10*T2^9 + 
      674*T1^11*T2^9 - 832*T1^12*T2^9 + 660*T1^4*T2^10 - 1362*T1^5*T2^10 + 
      1358*T1^6*T2^10 + 631*T1^7*T2^10 - 1836*T1^8*T2^10 + 631*T1^9*T2^10 + 
      1358*T1^10*T2^10 - 1362*T1^11*T2^10 + 660*T1^12*T2^10 - 
      312*T1^5*T2^11 + 908*T1^6*T2^11 - 1362*T1^7*T2^11 + 674*T1^8*T2^11 + 
      674*T1^9*T2^11 - 1362*T1^10*T2^11 + 908*T1^11*T2^11 - 312*T1^12*T2^11 + 
      80*T1^6*T2^12 - 312*T1^7*T2^12 + 660*T1^8*T2^12 - 832*T1^9*T2^12 + 
      660*T1^10*T2^12 - 312*T1^11*T2^12 + 80*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 162] -> 
  {-((4 - 24*T + 56*T^2 - 73*T^3 + 56*T^4 - 24*T^5 + 4*T^6)/T^3), 
   -((132 - 786*T1 + 1814*T1^2 - 2358*T1^3 + 1814*T1^4 - 786*T1^5 + 
      132*T1^6 - 786*T2 + 3904*T1*T2 - 6164*T1^2*T2 + 3267*T1^3*T2 + 
      3267*T1^4*T2 - 6164*T1^5*T2 + 3904*T1^6*T2 - 786*T1^7*T2 + 1814*T2^2 - 
      6164*T1*T2^2 - 856*T1^2*T2^2 + 20875*T1^3*T2^2 - 33592*T1^4*T2^2 + 
      20875*T1^5*T2^2 - 856*T1^6*T2^2 - 6164*T1^7*T2^2 + 1814*T1^8*T2^2 - 
      2358*T2^3 + 3267*T1*T2^3 + 20875*T1^2*T2^3 - 44986*T1^3*T2^3 + 
      26635*T1^4*T2^3 + 26635*T1^5*T2^3 - 44986*T1^6*T2^3 + 20875*T1^7*T2^3 + 
      3267*T1^8*T2^3 - 2358*T1^9*T2^3 + 1814*T2^4 + 3267*T1*T2^4 - 
      33592*T1^2*T2^4 + 26635*T1^3*T2^4 + 38116*T1^4*T2^4 - 86740*T1^5*T2^4 + 
      38116*T1^6*T2^4 + 26635*T1^7*T2^4 - 33592*T1^8*T2^4 + 3267*T1^9*T2^4 + 
      1814*T1^10*T2^4 - 786*T2^5 - 6164*T1*T2^5 + 20875*T1^2*T2^5 + 
      26635*T1^3*T2^5 - 86740*T1^4*T2^5 + 56986*T1^5*T2^5 + 56986*T1^6*T2^5 - 
      86740*T1^7*T2^5 + 26635*T1^8*T2^5 + 20875*T1^9*T2^5 - 6164*T1^10*T2^5 - 
      786*T1^11*T2^5 + 132*T2^6 + 3904*T1*T2^6 - 856*T1^2*T2^6 - 
      44986*T1^3*T2^6 + 38116*T1^4*T2^6 + 56986*T1^5*T2^6 - 
      131328*T1^6*T2^6 + 56986*T1^7*T2^6 + 38116*T1^8*T2^6 - 
      44986*T1^9*T2^6 - 856*T1^10*T2^6 + 3904*T1^11*T2^6 + 132*T1^12*T2^6 - 
      786*T1*T2^7 - 6164*T1^2*T2^7 + 20875*T1^3*T2^7 + 26635*T1^4*T2^7 - 
      86740*T1^5*T2^7 + 56986*T1^6*T2^7 + 56986*T1^7*T2^7 - 86740*T1^8*T2^7 + 
      26635*T1^9*T2^7 + 20875*T1^10*T2^7 - 6164*T1^11*T2^7 - 786*T1^12*T2^7 + 
      1814*T1^2*T2^8 + 3267*T1^3*T2^8 - 33592*T1^4*T2^8 + 26635*T1^5*T2^8 + 
      38116*T1^6*T2^8 - 86740*T1^7*T2^8 + 38116*T1^8*T2^8 + 26635*T1^9*T2^8 - 
      33592*T1^10*T2^8 + 3267*T1^11*T2^8 + 1814*T1^12*T2^8 - 2358*T1^3*T2^9 + 
      3267*T1^4*T2^9 + 20875*T1^5*T2^9 - 44986*T1^6*T2^9 + 26635*T1^7*T2^9 + 
      26635*T1^8*T2^9 - 44986*T1^9*T2^9 + 20875*T1^10*T2^9 + 
      3267*T1^11*T2^9 - 2358*T1^12*T2^9 + 1814*T1^4*T2^10 - 6164*T1^5*T2^10 - 
      856*T1^6*T2^10 + 20875*T1^7*T2^10 - 33592*T1^8*T2^10 + 
      20875*T1^9*T2^10 - 856*T1^10*T2^10 - 6164*T1^11*T2^10 + 
      1814*T1^12*T2^10 - 786*T1^5*T2^11 + 3904*T1^6*T2^11 - 6164*T1^7*T2^11 + 
      3267*T1^8*T2^11 + 3267*T1^9*T2^11 - 6164*T1^10*T2^11 + 
      3904*T1^11*T2^11 - 786*T1^12*T2^11 + 132*T1^6*T2^12 - 786*T1^7*T2^12 + 
      1814*T1^8*T2^12 - 2358*T1^9*T2^12 + 1814*T1^10*T2^12 - 
      786*T1^11*T2^12 + 132*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 163] -> 
  {((2 - 3*T + 2*T^2)*(2 - 8*T + 13*T^2 - 8*T^3 + 2*T^4))/T^3, 
   (68 - 378*T1 + 936*T1^2 - 1230*T1^3 + 936*T1^4 - 378*T1^5 + 68*T1^6 - 
     378*T2 + 1728*T1*T2 - 3113*T1^2*T2 + 1644*T1^3*T2 + 1644*T1^4*T2 - 
     3113*T1^5*T2 + 1728*T1^6*T2 - 378*T1^7*T2 + 936*T2^2 - 3113*T1*T2^2 + 
     2123*T1^2*T2^2 + 6951*T1^3*T2^2 - 12559*T1^4*T2^2 + 6951*T1^5*T2^2 + 
     2123*T1^6*T2^2 - 3113*T1^7*T2^2 + 936*T1^8*T2^2 - 1230*T2^3 + 
     1644*T1*T2^3 + 6951*T1^2*T2^3 - 22256*T1^3*T2^3 + 12914*T1^4*T2^3 + 
     12914*T1^5*T2^3 - 22256*T1^6*T2^3 + 6951*T1^7*T2^3 + 1644*T1^8*T2^3 - 
     1230*T1^9*T2^3 + 936*T2^4 + 1644*T1*T2^4 - 12559*T1^2*T2^4 + 
     12914*T1^3*T2^4 + 30255*T1^4*T2^4 - 57753*T1^5*T2^4 + 30255*T1^6*T2^4 + 
     12914*T1^7*T2^4 - 12559*T1^8*T2^4 + 1644*T1^9*T2^4 + 936*T1^10*T2^4 - 
     378*T2^5 - 3113*T1*T2^5 + 6951*T1^2*T2^5 + 12914*T1^3*T2^5 - 
     57753*T1^4*T2^5 + 34620*T1^5*T2^5 + 34620*T1^6*T2^5 - 57753*T1^7*T2^5 + 
     12914*T1^8*T2^5 + 6951*T1^9*T2^5 - 3113*T1^10*T2^5 - 378*T1^11*T2^5 + 
     68*T2^6 + 1728*T1*T2^6 + 2123*T1^2*T2^6 - 22256*T1^3*T2^6 + 
     30255*T1^4*T2^6 + 34620*T1^5*T2^6 - 77424*T1^6*T2^6 + 34620*T1^7*T2^6 + 
     30255*T1^8*T2^6 - 22256*T1^9*T2^6 + 2123*T1^10*T2^6 + 1728*T1^11*T2^6 + 
     68*T1^12*T2^6 - 378*T1*T2^7 - 3113*T1^2*T2^7 + 6951*T1^3*T2^7 + 
     12914*T1^4*T2^7 - 57753*T1^5*T2^7 + 34620*T1^6*T2^7 + 34620*T1^7*T2^7 - 
     57753*T1^8*T2^7 + 12914*T1^9*T2^7 + 6951*T1^10*T2^7 - 3113*T1^11*T2^7 - 
     378*T1^12*T2^7 + 936*T1^2*T2^8 + 1644*T1^3*T2^8 - 12559*T1^4*T2^8 + 
     12914*T1^5*T2^8 + 30255*T1^6*T2^8 - 57753*T1^7*T2^8 + 30255*T1^8*T2^8 + 
     12914*T1^9*T2^8 - 12559*T1^10*T2^8 + 1644*T1^11*T2^8 + 936*T1^12*T2^8 - 
     1230*T1^3*T2^9 + 1644*T1^4*T2^9 + 6951*T1^5*T2^9 - 22256*T1^6*T2^9 + 
     12914*T1^7*T2^9 + 12914*T1^8*T2^9 - 22256*T1^9*T2^9 + 6951*T1^10*T2^9 + 
     1644*T1^11*T2^9 - 1230*T1^12*T2^9 + 936*T1^4*T2^10 - 3113*T1^5*T2^10 + 
     2123*T1^6*T2^10 + 6951*T1^7*T2^10 - 12559*T1^8*T2^10 + 6951*T1^9*T2^10 + 
     2123*T1^10*T2^10 - 3113*T1^11*T2^10 + 936*T1^12*T2^10 - 378*T1^5*T2^11 + 
     1728*T1^6*T2^11 - 3113*T1^7*T2^11 + 1644*T1^8*T2^11 + 1644*T1^9*T2^11 - 
     3113*T1^10*T2^11 + 1728*T1^11*T2^11 - 378*T1^12*T2^11 + 68*T1^6*T2^12 - 
     378*T1^7*T2^12 + 936*T1^8*T2^12 - 1230*T1^9*T2^12 + 936*T1^10*T2^12 - 
     378*T1^11*T2^12 + 68*T1^12*T2^12)/(T1^6*T2^6)}, 
 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)*
      (1 - 6*T1 + 13*T1^2 - 17*T1^3 + 13*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
       30*T1*T2 - 42*T1^2*T2 + 24*T1^3*T2 + 24*T1^4*T2 - 42*T1^5*T2 + 
       30*T1^6*T2 - 6*T1^7*T2 + 13*T2^2 - 42*T1*T2^2 - 29*T1^2*T2^2 + 
       155*T1^3*T2^2 - 253*T1^4*T2^2 + 155*T1^5*T2^2 - 29*T1^6*T2^2 - 
       42*T1^7*T2^2 + 13*T1^8*T2^2 - 17*T2^3 + 24*T1*T2^3 + 155*T1^2*T2^3 - 
       242*T1^3*T2^3 + 167*T1^4*T2^3 + 167*T1^5*T2^3 - 242*T1^6*T2^3 + 
       155*T1^7*T2^3 + 24*T1^8*T2^3 - 17*T1^9*T2^3 + 13*T2^4 + 24*T1*T2^4 - 
       253*T1^2*T2^4 + 167*T1^3*T2^4 - 29*T1^4*T2^4 - 211*T1^5*T2^4 - 
       29*T1^6*T2^4 + 167*T1^7*T2^4 - 253*T1^8*T2^4 + 24*T1^9*T2^4 + 
       13*T1^10*T2^4 - 6*T2^5 - 42*T1*T2^5 + 155*T1^2*T2^5 + 167*T1^3*T2^5 - 
       211*T1^4*T2^5 + 224*T1^5*T2^5 + 224*T1^6*T2^5 - 211*T1^7*T2^5 + 
       167*T1^8*T2^5 + 155*T1^9*T2^5 - 42*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
       30*T1*T2^6 - 29*T1^2*T2^6 - 242*T1^3*T2^6 - 29*T1^4*T2^6 + 
       224*T1^5*T2^6 - 576*T1^6*T2^6 + 224*T1^7*T2^6 - 29*T1^8*T2^6 - 
       242*T1^9*T2^6 - 29*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 
       6*T1*T2^7 - 42*T1^2*T2^7 + 155*T1^3*T2^7 + 167*T1^4*T2^7 - 
       211*T1^5*T2^7 + 224*T1^6*T2^7 + 224*T1^7*T2^7 - 211*T1^8*T2^7 + 
       167*T1^9*T2^7 + 155*T1^10*T2^7 - 42*T1^11*T2^7 - 6*T1^12*T2^7 + 
       13*T1^2*T2^8 + 24*T1^3*T2^8 - 253*T1^4*T2^8 + 167*T1^5*T2^8 - 
       29*T1^6*T2^8 - 211*T1^7*T2^8 - 29*T1^8*T2^8 + 167*T1^9*T2^8 - 
       253*T1^10*T2^8 + 24*T1^11*T2^8 + 13*T1^12*T2^8 - 17*T1^3*T2^9 + 
       24*T1^4*T2^9 + 155*T1^5*T2^9 - 242*T1^6*T2^9 + 167*T1^7*T2^9 + 
       167*T1^8*T2^9 - 242*T1^9*T2^9 + 155*T1^10*T2^9 + 24*T1^11*T2^9 - 
       17*T1^12*T2^9 + 13*T1^4*T2^10 - 42*T1^5*T2^10 - 29*T1^6*T2^10 + 
       155*T1^7*T2^10 - 253*T1^8*T2^10 + 155*T1^9*T2^10 - 29*T1^10*T2^10 - 
       42*T1^11*T2^10 + 13*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 
       42*T1^7*T2^11 + 24*T1^8*T2^11 + 24*T1^9*T2^11 - 42*T1^10*T2^11 + 
       30*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))/(T1^8*T2^8))}, Knot[12, Alternating, 165] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(2 - 3*T + 2*T^2))/T^3), 
   -((15 - 81*T1 + 176*T1^2 - 227*T1^3 + 176*T1^4 - 81*T1^5 + 15*T1^6 - 
      81*T2 + 354*T1*T2 - 509*T1^2*T2 + 273*T1^3*T2 + 273*T1^4*T2 - 
      509*T1^5*T2 + 354*T1^6*T2 - 81*T1^7*T2 + 176*T2^2 - 509*T1*T2^2 - 
      89*T1^2*T2^2 + 1440*T1^3*T2^2 - 2377*T1^4*T2^2 + 1440*T1^5*T2^2 - 
      89*T1^6*T2^2 - 509*T1^7*T2^2 + 176*T1^8*T2^2 - 227*T2^3 + 273*T1*T2^3 + 
      1440*T1^2*T2^3 - 2756*T1^3*T2^3 + 1742*T1^4*T2^3 + 1742*T1^5*T2^3 - 
      2756*T1^6*T2^3 + 1440*T1^7*T2^3 + 273*T1^8*T2^3 - 227*T1^9*T2^3 + 
      176*T2^4 + 273*T1*T2^4 - 2377*T1^2*T2^4 + 1742*T1^3*T2^4 + 
      1637*T1^4*T2^4 - 4719*T1^5*T2^4 + 1637*T1^6*T2^4 + 1742*T1^7*T2^4 - 
      2377*T1^8*T2^4 + 273*T1^9*T2^4 + 176*T1^10*T2^4 - 81*T2^5 - 
      509*T1*T2^5 + 1440*T1^2*T2^5 + 1742*T1^3*T2^5 - 4719*T1^4*T2^5 + 
      3438*T1^5*T2^5 + 3438*T1^6*T2^5 - 4719*T1^7*T2^5 + 1742*T1^8*T2^5 + 
      1440*T1^9*T2^5 - 509*T1^10*T2^5 - 81*T1^11*T2^5 + 15*T2^6 + 
      354*T1*T2^6 - 89*T1^2*T2^6 - 2756*T1^3*T2^6 + 1637*T1^4*T2^6 + 
      3438*T1^5*T2^6 - 8148*T1^6*T2^6 + 3438*T1^7*T2^6 + 1637*T1^8*T2^6 - 
      2756*T1^9*T2^6 - 89*T1^10*T2^6 + 354*T1^11*T2^6 + 15*T1^12*T2^6 - 
      81*T1*T2^7 - 509*T1^2*T2^7 + 1440*T1^3*T2^7 + 1742*T1^4*T2^7 - 
      4719*T1^5*T2^7 + 3438*T1^6*T2^7 + 3438*T1^7*T2^7 - 4719*T1^8*T2^7 + 
      1742*T1^9*T2^7 + 1440*T1^10*T2^7 - 509*T1^11*T2^7 - 81*T1^12*T2^7 + 
      176*T1^2*T2^8 + 273*T1^3*T2^8 - 2377*T1^4*T2^8 + 1742*T1^5*T2^8 + 
      1637*T1^6*T2^8 - 4719*T1^7*T2^8 + 1637*T1^8*T2^8 + 1742*T1^9*T2^8 - 
      2377*T1^10*T2^8 + 273*T1^11*T2^8 + 176*T1^12*T2^8 - 227*T1^3*T2^9 + 
      273*T1^4*T2^9 + 1440*T1^5*T2^9 - 2756*T1^6*T2^9 + 1742*T1^7*T2^9 + 
      1742*T1^8*T2^9 - 2756*T1^9*T2^9 + 1440*T1^10*T2^9 + 273*T1^11*T2^9 - 
      227*T1^12*T2^9 + 176*T1^4*T2^10 - 509*T1^5*T2^10 - 89*T1^6*T2^10 + 
      1440*T1^7*T2^10 - 2377*T1^8*T2^10 + 1440*T1^9*T2^10 - 89*T1^10*T2^10 - 
      509*T1^11*T2^10 + 176*T1^12*T2^10 - 81*T1^5*T2^11 + 354*T1^6*T2^11 - 
      509*T1^7*T2^11 + 273*T1^8*T2^11 + 273*T1^9*T2^11 - 509*T1^10*T2^11 + 
      354*T1^11*T2^11 - 81*T1^12*T2^11 + 15*T1^6*T2^12 - 81*T1^7*T2^12 + 
      176*T1^8*T2^12 - 227*T1^9*T2^12 + 176*T1^10*T2^12 - 81*T1^11*T2^12 + 
      15*T1^12*T2^12)/(T1^6*T2^6))}, 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)*
      (1 - 6*T1 + 13*T1^2 - 17*T1^3 + 13*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
       30*T1*T2 - 42*T1^2*T2 + 24*T1^3*T2 + 24*T1^4*T2 - 42*T1^5*T2 + 
       30*T1^6*T2 - 6*T1^7*T2 + 13*T2^2 - 42*T1*T2^2 - 29*T1^2*T2^2 + 
       155*T1^3*T2^2 - 253*T1^4*T2^2 + 155*T1^5*T2^2 - 29*T1^6*T2^2 - 
       42*T1^7*T2^2 + 13*T1^8*T2^2 - 17*T2^3 + 24*T1*T2^3 + 155*T1^2*T2^3 - 
       242*T1^3*T2^3 + 167*T1^4*T2^3 + 167*T1^5*T2^3 - 242*T1^6*T2^3 + 
       155*T1^7*T2^3 + 24*T1^8*T2^3 - 17*T1^9*T2^3 + 13*T2^4 + 24*T1*T2^4 - 
       253*T1^2*T2^4 + 167*T1^3*T2^4 - 29*T1^4*T2^4 - 211*T1^5*T2^4 - 
       29*T1^6*T2^4 + 167*T1^7*T2^4 - 253*T1^8*T2^4 + 24*T1^9*T2^4 + 
       13*T1^10*T2^4 - 6*T2^5 - 42*T1*T2^5 + 155*T1^2*T2^5 + 167*T1^3*T2^5 - 
       211*T1^4*T2^5 + 224*T1^5*T2^5 + 224*T1^6*T2^5 - 211*T1^7*T2^5 + 
       167*T1^8*T2^5 + 155*T1^9*T2^5 - 42*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
       30*T1*T2^6 - 29*T1^2*T2^6 - 242*T1^3*T2^6 - 29*T1^4*T2^6 + 
       224*T1^5*T2^6 - 576*T1^6*T2^6 + 224*T1^7*T2^6 - 29*T1^8*T2^6 - 
       242*T1^9*T2^6 - 29*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 
       6*T1*T2^7 - 42*T1^2*T2^7 + 155*T1^3*T2^7 + 167*T1^4*T2^7 - 
       211*T1^5*T2^7 + 224*T1^6*T2^7 + 224*T1^7*T2^7 - 211*T1^8*T2^7 + 
       167*T1^9*T2^7 + 155*T1^10*T2^7 - 42*T1^11*T2^7 - 6*T1^12*T2^7 + 
       13*T1^2*T2^8 + 24*T1^3*T2^8 - 253*T1^4*T2^8 + 167*T1^5*T2^8 - 
       29*T1^6*T2^8 - 211*T1^7*T2^8 - 29*T1^8*T2^8 + 167*T1^9*T2^8 - 
       253*T1^10*T2^8 + 24*T1^11*T2^8 + 13*T1^12*T2^8 - 17*T1^3*T2^9 + 
       24*T1^4*T2^9 + 155*T1^5*T2^9 - 242*T1^6*T2^9 + 167*T1^7*T2^9 + 
       167*T1^8*T2^9 - 242*T1^9*T2^9 + 155*T1^10*T2^9 + 24*T1^11*T2^9 - 
       17*T1^12*T2^9 + 13*T1^4*T2^10 - 42*T1^5*T2^10 - 29*T1^6*T2^10 + 
       155*T1^7*T2^10 - 253*T1^8*T2^10 + 155*T1^9*T2^10 - 29*T1^10*T2^10 - 
       42*T1^11*T2^10 + 13*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 
       42*T1^7*T2^11 + 24*T1^8*T2^11 + 24*T1^9*T2^11 - 42*T1^10*T2^11 + 
       30*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))/(T1^8*T2^8))}, 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)*
      (17 - 50*T1 + 91*T1^2 - 107*T1^3 + 91*T1^4 - 50*T1^5 + 17*T1^6 - 
       50*T2 + 98*T1*T2 - 122*T1^2*T2 + 48*T1^3*T2 + 48*T1^4*T2 - 
       122*T1^5*T2 + 98*T1^6*T2 - 50*T1^7*T2 + 91*T2^2 - 122*T1*T2^2 + 
       135*T1^2*T2^2 - 17*T1^3*T2^2 - 9*T1^4*T2^2 - 17*T1^5*T2^2 + 
       135*T1^6*T2^2 - 122*T1^7*T2^2 + 91*T1^8*T2^2 - 107*T2^3 + 48*T1*T2^3 - 
       17*T1^2*T2^3 - 144*T1^3*T2^3 + 43*T1^4*T2^3 + 43*T1^5*T2^3 - 
       144*T1^6*T2^3 - 17*T1^7*T2^3 + 48*T1^8*T2^3 - 107*T1^9*T2^3 + 
       91*T2^4 + 48*T1*T2^4 - 9*T1^2*T2^4 + 43*T1^3*T2^4 + 273*T1^4*T2^4 - 
       319*T1^5*T2^4 + 273*T1^6*T2^4 + 43*T1^7*T2^4 - 9*T1^8*T2^4 + 
       48*T1^9*T2^4 + 91*T1^10*T2^4 - 50*T2^5 - 122*T1*T2^5 - 17*T1^2*T2^5 + 
       43*T1^3*T2^5 - 319*T1^4*T2^5 + 90*T1^5*T2^5 + 90*T1^6*T2^5 - 
       319*T1^7*T2^5 + 43*T1^8*T2^5 - 17*T1^9*T2^5 - 122*T1^10*T2^5 - 
       50*T1^11*T2^5 + 17*T2^6 + 98*T1*T2^6 + 135*T1^2*T2^6 - 144*T1^3*T2^6 + 
       273*T1^4*T2^6 + 90*T1^5*T2^6 - 120*T1^6*T2^6 + 90*T1^7*T2^6 + 
       273*T1^8*T2^6 - 144*T1^9*T2^6 + 135*T1^10*T2^6 + 98*T1^11*T2^6 + 
       17*T1^12*T2^6 - 50*T1*T2^7 - 122*T1^2*T2^7 - 17*T1^3*T2^7 + 
       43*T1^4*T2^7 - 319*T1^5*T2^7 + 90*T1^6*T2^7 + 90*T1^7*T2^7 - 
       319*T1^8*T2^7 + 43*T1^9*T2^7 - 17*T1^10*T2^7 - 122*T1^11*T2^7 - 
       50*T1^12*T2^7 + 91*T1^2*T2^8 + 48*T1^3*T2^8 - 9*T1^4*T2^8 + 
       43*T1^5*T2^8 + 273*T1^6*T2^8 - 319*T1^7*T2^8 + 273*T1^8*T2^8 + 
       43*T1^9*T2^8 - 9*T1^10*T2^8 + 48*T1^11*T2^8 + 91*T1^12*T2^8 - 
       107*T1^3*T2^9 + 48*T1^4*T2^9 - 17*T1^5*T2^9 - 144*T1^6*T2^9 + 
       43*T1^7*T2^9 + 43*T1^8*T2^9 - 144*T1^9*T2^9 - 17*T1^10*T2^9 + 
       48*T1^11*T2^9 - 107*T1^12*T2^9 + 91*T1^4*T2^10 - 122*T1^5*T2^10 + 
       135*T1^6*T2^10 - 17*T1^7*T2^10 - 9*T1^8*T2^10 - 17*T1^9*T2^10 + 
       135*T1^10*T2^10 - 122*T1^11*T2^10 + 91*T1^12*T2^10 - 50*T1^5*T2^11 + 
       98*T1^6*T2^11 - 122*T1^7*T2^11 + 48*T1^8*T2^11 + 48*T1^9*T2^11 - 
       122*T1^10*T2^11 + 98*T1^11*T2^11 - 50*T1^12*T2^11 + 17*T1^6*T2^12 - 
       50*T1^7*T2^12 + 91*T1^8*T2^12 - 107*T1^9*T2^12 + 91*T1^10*T2^12 - 
       50*T1^11*T2^12 + 17*T1^12*T2^12))/(T1^8*T2^8))}, 
 Knot[12, Alternating, 168] -> {((1 - T + T^2)^2*(3 - 5*T + 3*T^2))/T^3, 
   (-2*(18 - 65*T1 + 130*T1^2 - 159*T1^3 + 130*T1^4 - 65*T1^5 + 18*T1^6 - 
      65*T2 + 170*T1*T2 - 235*T1^2*T2 + 105*T1^3*T2 + 105*T1^4*T2 - 
      235*T1^5*T2 + 170*T1^6*T2 - 65*T1^7*T2 + 130*T2^2 - 235*T1*T2^2 + 
      218*T1^2*T2^2 + 93*T1^3*T2^2 - 224*T1^4*T2^2 + 93*T1^5*T2^2 + 
      218*T1^6*T2^2 - 235*T1^7*T2^2 + 130*T1^8*T2^2 - 159*T2^3 + 
      105*T1*T2^3 + 93*T1^2*T2^3 - 495*T1^3*T2^3 + 222*T1^4*T2^3 + 
      222*T1^5*T2^3 - 495*T1^6*T2^3 + 93*T1^7*T2^3 + 105*T1^8*T2^3 - 
      159*T1^9*T2^3 + 130*T2^4 + 105*T1*T2^4 - 224*T1^2*T2^4 + 
      222*T1^3*T2^4 + 734*T1^4*T2^4 - 1082*T1^5*T2^4 + 734*T1^6*T2^4 + 
      222*T1^7*T2^4 - 224*T1^8*T2^4 + 105*T1^9*T2^4 + 130*T1^10*T2^4 - 
      65*T2^5 - 235*T1*T2^5 + 93*T1^2*T2^5 + 222*T1^3*T2^5 - 1082*T1^4*T2^5 + 
      468*T1^5*T2^5 + 468*T1^6*T2^5 - 1082*T1^7*T2^5 + 222*T1^8*T2^5 + 
      93*T1^9*T2^5 - 235*T1^10*T2^5 - 65*T1^11*T2^5 + 18*T2^6 + 170*T1*T2^6 + 
      218*T1^2*T2^6 - 495*T1^3*T2^6 + 734*T1^4*T2^6 + 468*T1^5*T2^6 - 
      888*T1^6*T2^6 + 468*T1^7*T2^6 + 734*T1^8*T2^6 - 495*T1^9*T2^6 + 
      218*T1^10*T2^6 + 170*T1^11*T2^6 + 18*T1^12*T2^6 - 65*T1*T2^7 - 
      235*T1^2*T2^7 + 93*T1^3*T2^7 + 222*T1^4*T2^7 - 1082*T1^5*T2^7 + 
      468*T1^6*T2^7 + 468*T1^7*T2^7 - 1082*T1^8*T2^7 + 222*T1^9*T2^7 + 
      93*T1^10*T2^7 - 235*T1^11*T2^7 - 65*T1^12*T2^7 + 130*T1^2*T2^8 + 
      105*T1^3*T2^8 - 224*T1^4*T2^8 + 222*T1^5*T2^8 + 734*T1^6*T2^8 - 
      1082*T1^7*T2^8 + 734*T1^8*T2^8 + 222*T1^9*T2^8 - 224*T1^10*T2^8 + 
      105*T1^11*T2^8 + 130*T1^12*T2^8 - 159*T1^3*T2^9 + 105*T1^4*T2^9 + 
      93*T1^5*T2^9 - 495*T1^6*T2^9 + 222*T1^7*T2^9 + 222*T1^8*T2^9 - 
      495*T1^9*T2^9 + 93*T1^10*T2^9 + 105*T1^11*T2^9 - 159*T1^12*T2^9 + 
      130*T1^4*T2^10 - 235*T1^5*T2^10 + 218*T1^6*T2^10 + 93*T1^7*T2^10 - 
      224*T1^8*T2^10 + 93*T1^9*T2^10 + 218*T1^10*T2^10 - 235*T1^11*T2^10 + 
      130*T1^12*T2^10 - 65*T1^5*T2^11 + 170*T1^6*T2^11 - 235*T1^7*T2^11 + 
      105*T1^8*T2^11 + 105*T1^9*T2^11 - 235*T1^10*T2^11 + 170*T1^11*T2^11 - 
      65*T1^12*T2^11 + 18*T1^6*T2^12 - 65*T1^7*T2^12 + 130*T1^8*T2^12 - 
      159*T1^9*T2^12 + 130*T1^10*T2^12 - 65*T1^11*T2^12 + 18*T1^12*T2^12))/
    (T1^6*T2^6)}, Knot[12, Alternating, 169] -> 
  {(2 - 3*T + 2*T^2)^2/T^2, (-2*(18 - 54*T1 + 79*T1^2 - 54*T1^3 + 18*T1^4 - 
      54*T2 + 108*T1*T2 - 75*T1^2*T2 - 75*T1^3*T2 + 108*T1^4*T2 - 
      54*T1^5*T2 + 79*T2^2 - 75*T1*T2^2 - 30*T1^2*T2^2 + 183*T1^3*T2^2 - 
      30*T1^4*T2^2 - 75*T1^5*T2^2 + 79*T1^6*T2^2 - 54*T2^3 - 75*T1*T2^3 + 
      183*T1^2*T2^3 - 180*T1^3*T2^3 - 180*T1^4*T2^3 + 183*T1^5*T2^3 - 
      75*T1^6*T2^3 - 54*T1^7*T2^3 + 18*T2^4 + 108*T1*T2^4 - 30*T1^2*T2^4 - 
      180*T1^3*T2^4 + 480*T1^4*T2^4 - 180*T1^5*T2^4 - 30*T1^6*T2^4 + 
      108*T1^7*T2^4 + 18*T1^8*T2^4 - 54*T1*T2^5 - 75*T1^2*T2^5 + 
      183*T1^3*T2^5 - 180*T1^4*T2^5 - 180*T1^5*T2^5 + 183*T1^6*T2^5 - 
      75*T1^7*T2^5 - 54*T1^8*T2^5 + 79*T1^2*T2^6 - 75*T1^3*T2^6 - 
      30*T1^4*T2^6 + 183*T1^5*T2^6 - 30*T1^6*T2^6 - 75*T1^7*T2^6 + 
      79*T1^8*T2^6 - 54*T1^3*T2^7 + 108*T1^4*T2^7 - 75*T1^5*T2^7 - 
      75*T1^6*T2^7 + 108*T1^7*T2^7 - 54*T1^8*T2^7 + 18*T1^4*T2^8 - 
      54*T1^5*T2^8 + 79*T1^6*T2^8 - 54*T1^7*T2^8 + 18*T1^8*T2^8))/
    (T1^4*T2^4)}, Knot[12, Alternating, 170] -> 
  {(3 - 18*T + 42*T^2 - 53*T^3 + 42*T^4 - 18*T^5 + 3*T^6)/T^3, 
   (30 - 180*T1 + 416*T1^2 - 520*T1^3 + 416*T1^4 - 180*T1^5 + 30*T1^6 - 
     180*T2 + 902*T1*T2 - 1425*T1^2*T2 + 632*T1^3*T2 + 632*T1^4*T2 - 
     1425*T1^5*T2 + 902*T1^6*T2 - 180*T1^7*T2 + 416*T2^2 - 1425*T1*T2^2 - 
     253*T1^2*T2^2 + 5272*T1^3*T2^2 - 7297*T1^4*T2^2 + 5272*T1^5*T2^2 - 
     253*T1^6*T2^2 - 1425*T1^7*T2^2 + 416*T1^8*T2^2 - 520*T2^3 + 
     632*T1*T2^3 + 5272*T1^2*T2^3 - 11508*T1^3*T2^3 + 5059*T1^4*T2^3 + 
     5059*T1^5*T2^3 - 11508*T1^6*T2^3 + 5272*T1^7*T2^3 + 632*T1^8*T2^3 - 
     520*T1^9*T2^3 + 416*T2^4 + 632*T1*T2^4 - 7297*T1^2*T2^4 + 
     5059*T1^3*T2^4 + 14307*T1^4*T2^4 - 22065*T1^5*T2^4 + 14307*T1^6*T2^4 + 
     5059*T1^7*T2^4 - 7297*T1^8*T2^4 + 632*T1^9*T2^4 + 416*T1^10*T2^4 - 
     180*T2^5 - 1425*T1*T2^5 + 5272*T1^2*T2^5 + 5059*T1^3*T2^5 - 
     22065*T1^4*T2^5 + 10358*T1^5*T2^5 + 10358*T1^6*T2^5 - 22065*T1^7*T2^5 + 
     5059*T1^8*T2^5 + 5272*T1^9*T2^5 - 1425*T1^10*T2^5 - 180*T1^11*T2^5 + 
     30*T2^6 + 902*T1*T2^6 - 253*T1^2*T2^6 - 11508*T1^3*T2^6 + 
     14307*T1^4*T2^6 + 10358*T1^5*T2^6 - 21012*T1^6*T2^6 + 10358*T1^7*T2^6 + 
     14307*T1^8*T2^6 - 11508*T1^9*T2^6 - 253*T1^10*T2^6 + 902*T1^11*T2^6 + 
     30*T1^12*T2^6 - 180*T1*T2^7 - 1425*T1^2*T2^7 + 5272*T1^3*T2^7 + 
     5059*T1^4*T2^7 - 22065*T1^5*T2^7 + 10358*T1^6*T2^7 + 10358*T1^7*T2^7 - 
     22065*T1^8*T2^7 + 5059*T1^9*T2^7 + 5272*T1^10*T2^7 - 1425*T1^11*T2^7 - 
     180*T1^12*T2^7 + 416*T1^2*T2^8 + 632*T1^3*T2^8 - 7297*T1^4*T2^8 + 
     5059*T1^5*T2^8 + 14307*T1^6*T2^8 - 22065*T1^7*T2^8 + 14307*T1^8*T2^8 + 
     5059*T1^9*T2^8 - 7297*T1^10*T2^8 + 632*T1^11*T2^8 + 416*T1^12*T2^8 - 
     520*T1^3*T2^9 + 632*T1^4*T2^9 + 5272*T1^5*T2^9 - 11508*T1^6*T2^9 + 
     5059*T1^7*T2^9 + 5059*T1^8*T2^9 - 11508*T1^9*T2^9 + 5272*T1^10*T2^9 + 
     632*T1^11*T2^9 - 520*T1^12*T2^9 + 416*T1^4*T2^10 - 1425*T1^5*T2^10 - 
     253*T1^6*T2^10 + 5272*T1^7*T2^10 - 7297*T1^8*T2^10 + 5272*T1^9*T2^10 - 
     253*T1^10*T2^10 - 1425*T1^11*T2^10 + 416*T1^12*T2^10 - 180*T1^5*T2^11 + 
     902*T1^6*T2^11 - 1425*T1^7*T2^11 + 632*T1^8*T2^11 + 632*T1^9*T2^11 - 
     1425*T1^10*T2^11 + 902*T1^11*T2^11 - 180*T1^12*T2^11 + 30*T1^6*T2^12 - 
     180*T1^7*T2^12 + 416*T1^8*T2^12 - 520*T1^9*T2^12 + 416*T1^10*T2^12 - 
     180*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 171] -> 
  {-((3 - 18*T + 46*T^2 - 63*T^3 + 46*T^4 - 18*T^5 + 3*T^6)/T^3), 
   -((3 - 18*T1 + 46*T1^2 - 65*T1^3 + 46*T1^4 - 18*T1^5 + 3*T1^6 - 18*T2 + 
      92*T1*T2 - 173*T1^2*T2 + 116*T1^3*T2 + 116*T1^4*T2 - 173*T1^5*T2 + 
      92*T1^6*T2 - 18*T1^7*T2 + 46*T2^2 - 173*T1*T2^2 + 129*T1^2*T2^2 + 
      319*T1^3*T2^2 - 825*T1^4*T2^2 + 319*T1^5*T2^2 + 129*T1^6*T2^2 - 
      173*T1^7*T2^2 + 46*T1^8*T2^2 - 65*T2^3 + 116*T1*T2^3 + 319*T1^2*T2^3 - 
      1062*T1^3*T2^3 + 1006*T1^4*T2^3 + 1006*T1^5*T2^3 - 1062*T1^6*T2^3 + 
      319*T1^7*T2^3 + 116*T1^8*T2^3 - 65*T1^9*T2^3 + 46*T2^4 + 116*T1*T2^4 - 
      825*T1^2*T2^4 + 1006*T1^3*T2^4 + 565*T1^4*T2^4 - 3305*T1^5*T2^4 + 
      565*T1^6*T2^4 + 1006*T1^7*T2^4 - 825*T1^8*T2^4 + 116*T1^9*T2^4 + 
      46*T1^10*T2^4 - 18*T2^5 - 173*T1*T2^5 + 319*T1^2*T2^5 + 
      1006*T1^3*T2^5 - 3305*T1^4*T2^5 + 3416*T1^5*T2^5 + 3416*T1^6*T2^5 - 
      3305*T1^7*T2^5 + 1006*T1^8*T2^5 + 319*T1^9*T2^5 - 173*T1^10*T2^5 - 
      18*T1^11*T2^5 + 3*T2^6 + 92*T1*T2^6 + 129*T1^2*T2^6 - 1062*T1^3*T2^6 + 
      565*T1^4*T2^6 + 3416*T1^5*T2^6 - 9240*T1^6*T2^6 + 3416*T1^7*T2^6 + 
      565*T1^8*T2^6 - 1062*T1^9*T2^6 + 129*T1^10*T2^6 + 92*T1^11*T2^6 + 
      3*T1^12*T2^6 - 18*T1*T2^7 - 173*T1^2*T2^7 + 319*T1^3*T2^7 + 
      1006*T1^4*T2^7 - 3305*T1^5*T2^7 + 3416*T1^6*T2^7 + 3416*T1^7*T2^7 - 
      3305*T1^8*T2^7 + 1006*T1^9*T2^7 + 319*T1^10*T2^7 - 173*T1^11*T2^7 - 
      18*T1^12*T2^7 + 46*T1^2*T2^8 + 116*T1^3*T2^8 - 825*T1^4*T2^8 + 
      1006*T1^5*T2^8 + 565*T1^6*T2^8 - 3305*T1^7*T2^8 + 565*T1^8*T2^8 + 
      1006*T1^9*T2^8 - 825*T1^10*T2^8 + 116*T1^11*T2^8 + 46*T1^12*T2^8 - 
      65*T1^3*T2^9 + 116*T1^4*T2^9 + 319*T1^5*T2^9 - 1062*T1^6*T2^9 + 
      1006*T1^7*T2^9 + 1006*T1^8*T2^9 - 1062*T1^9*T2^9 + 319*T1^10*T2^9 + 
      116*T1^11*T2^9 - 65*T1^12*T2^9 + 46*T1^4*T2^10 - 173*T1^5*T2^10 + 
      129*T1^6*T2^10 + 319*T1^7*T2^10 - 825*T1^8*T2^10 + 319*T1^9*T2^10 + 
      129*T1^10*T2^10 - 173*T1^11*T2^10 + 46*T1^12*T2^10 - 18*T1^5*T2^11 + 
      92*T1^6*T2^11 - 173*T1^7*T2^11 + 116*T1^8*T2^11 + 116*T1^9*T2^11 - 
      173*T1^10*T2^11 + 92*T1^11*T2^11 - 18*T1^12*T2^11 + 3*T1^6*T2^12 - 
      18*T1^7*T2^12 + 46*T1^8*T2^12 - 65*T1^9*T2^12 + 46*T1^10*T2^12 - 
      18*T1^11*T2^12 + 3*T1^12*T2^12)/(T1^6*T2^6))}, 
 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 + 84*T1*T2 - 154*T1^2*T2 + 98*T1^3*T2 - 28*T1^4*T2 - 
      28*T1^5*T2 + 98*T1^6*T2 - 154*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
      36*T2^2 - 154*T1*T2^2 + 3*T1^2*T2^2 + 594*T1^3*T2^2 - 807*T1^4*T2^2 + 
      821*T1^5*T2^2 - 807*T1^6*T2^2 + 594*T1^7*T2^2 + 3*T1^8*T2^2 - 
      154*T1^9*T2^2 + 36*T1^10*T2^2 - 50*T2^3 + 98*T1*T2^3 + 594*T1^2*T2^3 - 
      1538*T1^3*T2^3 + 784*T1^4*T2^3 - 164*T1^5*T2^3 - 164*T1^6*T2^3 + 
      784*T1^7*T2^3 - 1538*T1^8*T2^3 + 594*T1^9*T2^3 + 98*T1^10*T2^3 - 
      50*T1^11*T2^3 + 54*T2^4 - 28*T1*T2^4 - 807*T1^2*T2^4 + 784*T1^3*T2^4 + 
      1849*T1^4*T2^4 - 2335*T1^5*T2^4 + 2181*T1^6*T2^4 - 2335*T1^7*T2^4 + 
      1849*T1^8*T2^4 + 784*T1^9*T2^4 - 807*T1^10*T2^4 - 28*T1^11*T2^4 + 
      54*T1^12*T2^4 - 50*T2^5 - 28*T1*T2^5 + 821*T1^2*T2^5 - 164*T1^3*T2^5 - 
      2335*T1^4*T2^5 + 794*T1^5*T2^5 - 24*T1^6*T2^5 - 24*T1^7*T2^5 + 
      794*T1^8*T2^5 - 2335*T1^9*T2^5 - 164*T1^10*T2^5 + 821*T1^11*T2^5 - 
      28*T1^12*T2^5 - 50*T1^13*T2^5 + 36*T2^6 + 98*T1*T2^6 - 807*T1^2*T2^6 - 
      164*T1^3*T2^6 + 2181*T1^4*T2^6 - 24*T1^5*T2^6 + 319*T1^6*T2^6 - 
      687*T1^7*T2^6 + 319*T1^8*T2^6 - 24*T1^9*T2^6 + 2181*T1^10*T2^6 - 
      164*T1^11*T2^6 - 807*T1^12*T2^6 + 98*T1^13*T2^6 + 36*T1^14*T2^6 - 
      14*T2^7 - 154*T1*T2^7 + 594*T1^2*T2^7 + 784*T1^3*T2^7 - 
      2335*T1^4*T2^7 - 24*T1^5*T2^7 - 687*T1^6*T2^7 + 360*T1^7*T2^7 + 
      360*T1^8*T2^7 - 687*T1^9*T2^7 - 24*T1^10*T2^7 - 2335*T1^11*T2^7 + 
      784*T1^12*T2^7 + 594*T1^13*T2^7 - 154*T1^14*T2^7 - 14*T1^15*T2^7 + 
      2*T2^8 + 84*T1*T2^8 + 3*T1^2*T2^8 - 1538*T1^3*T2^8 + 1849*T1^4*T2^8 + 
      794*T1^5*T2^8 + 319*T1^6*T2^8 + 360*T1^7*T2^8 - 684*T1^8*T2^8 + 
      360*T1^9*T2^8 + 319*T1^10*T2^8 + 794*T1^11*T2^8 + 1849*T1^12*T2^8 - 
      1538*T1^13*T2^8 + 3*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 
      14*T1*T2^9 - 154*T1^2*T2^9 + 594*T1^3*T2^9 + 784*T1^4*T2^9 - 
      2335*T1^5*T2^9 - 24*T1^6*T2^9 - 687*T1^7*T2^9 + 360*T1^8*T2^9 + 
      360*T1^9*T2^9 - 687*T1^10*T2^9 - 24*T1^11*T2^9 - 2335*T1^12*T2^9 + 
      784*T1^13*T2^9 + 594*T1^14*T2^9 - 154*T1^15*T2^9 - 14*T1^16*T2^9 + 
      36*T1^2*T2^10 + 98*T1^3*T2^10 - 807*T1^4*T2^10 - 164*T1^5*T2^10 + 
      2181*T1^6*T2^10 - 24*T1^7*T2^10 + 319*T1^8*T2^10 - 687*T1^9*T2^10 + 
      319*T1^10*T2^10 - 24*T1^11*T2^10 + 2181*T1^12*T2^10 - 164*T1^13*T2^10 - 
      807*T1^14*T2^10 + 98*T1^15*T2^10 + 36*T1^16*T2^10 - 50*T1^3*T2^11 - 
      28*T1^4*T2^11 + 821*T1^5*T2^11 - 164*T1^6*T2^11 - 2335*T1^7*T2^11 + 
      794*T1^8*T2^11 - 24*T1^9*T2^11 - 24*T1^10*T2^11 + 794*T1^11*T2^11 - 
      2335*T1^12*T2^11 - 164*T1^13*T2^11 + 821*T1^14*T2^11 - 28*T1^15*T2^11 - 
      50*T1^16*T2^11 + 54*T1^4*T2^12 - 28*T1^5*T2^12 - 807*T1^6*T2^12 + 
      784*T1^7*T2^12 + 1849*T1^8*T2^12 - 2335*T1^9*T2^12 + 2181*T1^10*T2^12 - 
      2335*T1^11*T2^12 + 1849*T1^12*T2^12 + 784*T1^13*T2^12 - 
      807*T1^14*T2^12 - 28*T1^15*T2^12 + 54*T1^16*T2^12 - 50*T1^5*T2^13 + 
      98*T1^6*T2^13 + 594*T1^7*T2^13 - 1538*T1^8*T2^13 + 784*T1^9*T2^13 - 
      164*T1^10*T2^13 - 164*T1^11*T2^13 + 784*T1^12*T2^13 - 
      1538*T1^13*T2^13 + 594*T1^14*T2^13 + 98*T1^15*T2^13 - 50*T1^16*T2^13 + 
      36*T1^6*T2^14 - 154*T1^7*T2^14 + 3*T1^8*T2^14 + 594*T1^9*T2^14 - 
      807*T1^10*T2^14 + 821*T1^11*T2^14 - 807*T1^12*T2^14 + 594*T1^13*T2^14 + 
      3*T1^14*T2^14 - 154*T1^15*T2^14 + 36*T1^16*T2^14 - 14*T1^7*T2^15 + 
      84*T1^8*T2^15 - 154*T1^9*T2^15 + 98*T1^10*T2^15 - 28*T1^11*T2^15 - 
      28*T1^12*T2^15 + 98*T1^13*T2^15 - 154*T1^14*T2^15 + 84*T1^15*T2^15 - 
      14*T1^16*T2^15 + 2*T1^8*T2^16 - 14*T1^9*T2^16 + 36*T1^10*T2^16 - 
      50*T1^11*T2^16 + 54*T1^12*T2^16 - 50*T1^13*T2^16 + 36*T1^14*T2^16 - 
      14*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   -((5 - 22*T1 + 45*T1^2 - 59*T1^3 + 45*T1^4 - 22*T1^5 + 5*T1^6 - 22*T2 + 
      78*T1*T2 - 114*T1^2*T2 + 70*T1^3*T2 + 70*T1^4*T2 - 114*T1^5*T2 + 
      78*T1^6*T2 - 22*T1^7*T2 + 45*T2^2 - 114*T1*T2^2 + 38*T1^2*T2^2 + 
      241*T1^3*T2^2 - 500*T1^4*T2^2 + 241*T1^5*T2^2 + 38*T1^6*T2^2 - 
      114*T1^7*T2^2 + 45*T1^8*T2^2 - 59*T2^3 + 70*T1*T2^3 + 241*T1^2*T2^3 - 
      660*T1^3*T2^3 + 483*T1^4*T2^3 + 483*T1^5*T2^3 - 660*T1^6*T2^3 + 
      241*T1^7*T2^3 + 70*T1^8*T2^3 - 59*T1^9*T2^3 + 45*T2^4 + 70*T1*T2^4 - 
      500*T1^2*T2^4 + 483*T1^3*T2^4 + 606*T1^4*T2^4 - 1590*T1^5*T2^4 + 
      606*T1^6*T2^4 + 483*T1^7*T2^4 - 500*T1^8*T2^4 + 70*T1^9*T2^4 + 
      45*T1^10*T2^4 - 22*T2^5 - 114*T1*T2^5 + 241*T1^2*T2^5 + 483*T1^3*T2^5 - 
      1590*T1^4*T2^5 + 1084*T1^5*T2^5 + 1084*T1^6*T2^5 - 1590*T1^7*T2^5 + 
      483*T1^8*T2^5 + 241*T1^9*T2^5 - 114*T1^10*T2^5 - 22*T1^11*T2^5 + 
      5*T2^6 + 78*T1*T2^6 + 38*T1^2*T2^6 - 660*T1^3*T2^6 + 606*T1^4*T2^6 + 
      1084*T1^5*T2^6 - 2448*T1^6*T2^6 + 1084*T1^7*T2^6 + 606*T1^8*T2^6 - 
      660*T1^9*T2^6 + 38*T1^10*T2^6 + 78*T1^11*T2^6 + 5*T1^12*T2^6 - 
      22*T1*T2^7 - 114*T1^2*T2^7 + 241*T1^3*T2^7 + 483*T1^4*T2^7 - 
      1590*T1^5*T2^7 + 1084*T1^6*T2^7 + 1084*T1^7*T2^7 - 1590*T1^8*T2^7 + 
      483*T1^9*T2^7 + 241*T1^10*T2^7 - 114*T1^11*T2^7 - 22*T1^12*T2^7 + 
      45*T1^2*T2^8 + 70*T1^3*T2^8 - 500*T1^4*T2^8 + 483*T1^5*T2^8 + 
      606*T1^6*T2^8 - 1590*T1^7*T2^8 + 606*T1^8*T2^8 + 483*T1^9*T2^8 - 
      500*T1^10*T2^8 + 70*T1^11*T2^8 + 45*T1^12*T2^8 - 59*T1^3*T2^9 + 
      70*T1^4*T2^9 + 241*T1^5*T2^9 - 660*T1^6*T2^9 + 483*T1^7*T2^9 + 
      483*T1^8*T2^9 - 660*T1^9*T2^9 + 241*T1^10*T2^9 + 70*T1^11*T2^9 - 
      59*T1^12*T2^9 + 45*T1^4*T2^10 - 114*T1^5*T2^10 + 38*T1^6*T2^10 + 
      241*T1^7*T2^10 - 500*T1^8*T2^10 + 241*T1^9*T2^10 + 38*T1^10*T2^10 - 
      114*T1^11*T2^10 + 45*T1^12*T2^10 - 22*T1^5*T2^11 + 78*T1^6*T2^11 - 
      114*T1^7*T2^11 + 70*T1^8*T2^11 + 70*T1^9*T2^11 - 114*T1^10*T2^11 + 
      78*T1^11*T2^11 - 22*T1^12*T2^11 + 5*T1^6*T2^12 - 22*T1^7*T2^12 + 
      45*T1^8*T2^12 - 59*T1^9*T2^12 + 45*T1^10*T2^12 - 22*T1^11*T2^12 + 
      5*T1^12*T2^12)/(T1^6*T2^6))}, 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), (1 - 7*T1 + 20*T1^2 - 35*T1^3 + 41*T1^4 - 35*T1^5 + 20*T1^6 - 
     7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 91*T1^2*T2 + 105*T1^3*T2 - 
     42*T1^4*T2 - 42*T1^5*T2 + 105*T1^6*T2 - 91*T1^7*T2 + 42*T1^8*T2 - 
     7*T1^9*T2 + 20*T2^2 - 91*T1*T2^2 + 82*T1^2*T2^2 + 122*T1^3*T2^2 - 
     462*T1^4*T2^2 + 572*T1^5*T2^2 - 462*T1^6*T2^2 + 122*T1^7*T2^2 + 
     82*T1^8*T2^2 - 91*T1^9*T2^2 + 20*T1^10*T2^2 - 35*T2^3 + 105*T1*T2^3 + 
     122*T1^2*T2^3 - 596*T1^3*T2^3 + 890*T1^4*T2^3 - 327*T1^5*T2^3 - 
     327*T1^6*T2^3 + 890*T1^7*T2^3 - 596*T1^8*T2^3 + 122*T1^9*T2^3 + 
     105*T1^10*T2^3 - 35*T1^11*T2^3 + 41*T2^4 - 42*T1*T2^4 - 462*T1^2*T2^4 + 
     890*T1^3*T2^4 - 534*T1^4*T2^4 - 968*T1^5*T2^4 + 1348*T1^6*T2^4 - 
     968*T1^7*T2^4 - 534*T1^8*T2^4 + 890*T1^9*T2^4 - 462*T1^10*T2^4 - 
     42*T1^11*T2^4 + 41*T1^12*T2^4 - 35*T2^5 - 42*T1*T2^5 + 572*T1^2*T2^5 - 
     327*T1^3*T2^5 - 968*T1^4*T2^5 + 2492*T1^5*T2^5 - 953*T1^6*T2^5 - 
     953*T1^7*T2^5 + 2492*T1^8*T2^5 - 968*T1^9*T2^5 - 327*T1^10*T2^5 + 
     572*T1^11*T2^5 - 42*T1^12*T2^5 - 35*T1^13*T2^5 + 20*T2^6 + 105*T1*T2^6 - 
     462*T1^2*T2^6 - 327*T1^3*T2^6 + 1348*T1^4*T2^6 - 953*T1^5*T2^6 - 
     2871*T1^6*T2^6 + 4159*T1^7*T2^6 - 2871*T1^8*T2^6 - 953*T1^9*T2^6 + 
     1348*T1^10*T2^6 - 327*T1^11*T2^6 - 462*T1^12*T2^6 + 105*T1^13*T2^6 + 
     20*T1^14*T2^6 - 7*T2^7 - 91*T1*T2^7 + 122*T1^2*T2^7 + 890*T1^3*T2^7 - 
     968*T1^4*T2^7 - 953*T1^5*T2^7 + 4159*T1^6*T2^7 - 1886*T1^7*T2^7 - 
     1886*T1^8*T2^7 + 4159*T1^9*T2^7 - 953*T1^10*T2^7 - 968*T1^11*T2^7 + 
     890*T1^12*T2^7 + 122*T1^13*T2^7 - 91*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 
     42*T1*T2^8 + 82*T1^2*T2^8 - 596*T1^3*T2^8 - 534*T1^4*T2^8 + 
     2492*T1^5*T2^8 - 2871*T1^6*T2^8 - 1886*T1^7*T2^8 + 3876*T1^8*T2^8 - 
     1886*T1^9*T2^8 - 2871*T1^10*T2^8 + 2492*T1^11*T2^8 - 534*T1^12*T2^8 - 
     596*T1^13*T2^8 + 82*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 
     7*T1*T2^9 - 91*T1^2*T2^9 + 122*T1^3*T2^9 + 890*T1^4*T2^9 - 
     968*T1^5*T2^9 - 953*T1^6*T2^9 + 4159*T1^7*T2^9 - 1886*T1^8*T2^9 - 
     1886*T1^9*T2^9 + 4159*T1^10*T2^9 - 953*T1^11*T2^9 - 968*T1^12*T2^9 + 
     890*T1^13*T2^9 + 122*T1^14*T2^9 - 91*T1^15*T2^9 - 7*T1^16*T2^9 + 
     20*T1^2*T2^10 + 105*T1^3*T2^10 - 462*T1^4*T2^10 - 327*T1^5*T2^10 + 
     1348*T1^6*T2^10 - 953*T1^7*T2^10 - 2871*T1^8*T2^10 + 4159*T1^9*T2^10 - 
     2871*T1^10*T2^10 - 953*T1^11*T2^10 + 1348*T1^12*T2^10 - 
     327*T1^13*T2^10 - 462*T1^14*T2^10 + 105*T1^15*T2^10 + 20*T1^16*T2^10 - 
     35*T1^3*T2^11 - 42*T1^4*T2^11 + 572*T1^5*T2^11 - 327*T1^6*T2^11 - 
     968*T1^7*T2^11 + 2492*T1^8*T2^11 - 953*T1^9*T2^11 - 953*T1^10*T2^11 + 
     2492*T1^11*T2^11 - 968*T1^12*T2^11 - 327*T1^13*T2^11 + 572*T1^14*T2^11 - 
     42*T1^15*T2^11 - 35*T1^16*T2^11 + 41*T1^4*T2^12 - 42*T1^5*T2^12 - 
     462*T1^6*T2^12 + 890*T1^7*T2^12 - 534*T1^8*T2^12 - 968*T1^9*T2^12 + 
     1348*T1^10*T2^12 - 968*T1^11*T2^12 - 534*T1^12*T2^12 + 890*T1^13*T2^12 - 
     462*T1^14*T2^12 - 42*T1^15*T2^12 + 41*T1^16*T2^12 - 35*T1^5*T2^13 + 
     105*T1^6*T2^13 + 122*T1^7*T2^13 - 596*T1^8*T2^13 + 890*T1^9*T2^13 - 
     327*T1^10*T2^13 - 327*T1^11*T2^13 + 890*T1^12*T2^13 - 596*T1^13*T2^13 + 
     122*T1^14*T2^13 + 105*T1^15*T2^13 - 35*T1^16*T2^13 + 20*T1^6*T2^14 - 
     91*T1^7*T2^14 + 82*T1^8*T2^14 + 122*T1^9*T2^14 - 462*T1^10*T2^14 + 
     572*T1^11*T2^14 - 462*T1^12*T2^14 + 122*T1^13*T2^14 + 82*T1^14*T2^14 - 
     91*T1^15*T2^14 + 20*T1^16*T2^14 - 7*T1^7*T2^15 + 42*T1^8*T2^15 - 
     91*T1^9*T2^15 + 105*T1^10*T2^15 - 42*T1^11*T2^15 - 42*T1^12*T2^15 + 
     105*T1^13*T2^15 - 91*T1^14*T2^15 + 42*T1^15*T2^15 - 7*T1^16*T2^15 + 
     T1^8*T2^16 - 7*T1^9*T2^16 + 20*T1^10*T2^16 - 35*T1^11*T2^16 + 
     41*T1^12*T2^16 - 35*T1^13*T2^16 + 20*T1^14*T2^16 - 7*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, Knot[12, Alternating, 175] -> 
  {(2 - 16*T + 44*T^2 - 59*T^3 + 44*T^4 - 16*T^5 + 2*T^6)/T^3, 
   -((9 - 71*T1 + 192*T1^2 - 255*T1^3 + 192*T1^4 - 71*T1^5 + 9*T1^6 - 71*T2 + 
      490*T1*T2 - 959*T1^2*T2 + 501*T1^3*T2 + 501*T1^4*T2 - 959*T1^5*T2 + 
      490*T1^6*T2 - 71*T1^7*T2 + 192*T2^2 - 959*T1*T2^2 - 88*T1^2*T2^2 + 
      4916*T1^3*T2^2 - 7616*T1^4*T2^2 + 4916*T1^5*T2^2 - 88*T1^6*T2^2 - 
      959*T1^7*T2^2 + 192*T1^8*T2^2 - 255*T2^3 + 501*T1*T2^3 + 
      4916*T1^2*T2^3 - 13352*T1^3*T2^3 + 7274*T1^4*T2^3 + 7274*T1^5*T2^3 - 
      13352*T1^6*T2^3 + 4916*T1^7*T2^3 + 501*T1^8*T2^3 - 255*T1^9*T2^3 + 
      192*T2^4 + 501*T1*T2^4 - 7616*T1^2*T2^4 + 7274*T1^3*T2^4 + 
      18870*T1^4*T2^4 - 34214*T1^5*T2^4 + 18870*T1^6*T2^4 + 7274*T1^7*T2^4 - 
      7616*T1^8*T2^4 + 501*T1^9*T2^4 + 192*T1^10*T2^4 - 71*T2^5 - 
      959*T1*T2^5 + 4916*T1^2*T2^5 + 7274*T1^3*T2^5 - 34214*T1^4*T2^5 + 
      19678*T1^5*T2^5 + 19678*T1^6*T2^5 - 34214*T1^7*T2^5 + 7274*T1^8*T2^5 + 
      4916*T1^9*T2^5 - 959*T1^10*T2^5 - 71*T1^11*T2^5 + 9*T2^6 + 
      490*T1*T2^6 - 88*T1^2*T2^6 - 13352*T1^3*T2^6 + 18870*T1^4*T2^6 + 
      19678*T1^5*T2^6 - 43368*T1^6*T2^6 + 19678*T1^7*T2^6 + 18870*T1^8*T2^6 - 
      13352*T1^9*T2^6 - 88*T1^10*T2^6 + 490*T1^11*T2^6 + 9*T1^12*T2^6 - 
      71*T1*T2^7 - 959*T1^2*T2^7 + 4916*T1^3*T2^7 + 7274*T1^4*T2^7 - 
      34214*T1^5*T2^7 + 19678*T1^6*T2^7 + 19678*T1^7*T2^7 - 34214*T1^8*T2^7 + 
      7274*T1^9*T2^7 + 4916*T1^10*T2^7 - 959*T1^11*T2^7 - 71*T1^12*T2^7 + 
      192*T1^2*T2^8 + 501*T1^3*T2^8 - 7616*T1^4*T2^8 + 7274*T1^5*T2^8 + 
      18870*T1^6*T2^8 - 34214*T1^7*T2^8 + 18870*T1^8*T2^8 + 7274*T1^9*T2^8 - 
      7616*T1^10*T2^8 + 501*T1^11*T2^8 + 192*T1^12*T2^8 - 255*T1^3*T2^9 + 
      501*T1^4*T2^9 + 4916*T1^5*T2^9 - 13352*T1^6*T2^9 + 7274*T1^7*T2^9 + 
      7274*T1^8*T2^9 - 13352*T1^9*T2^9 + 4916*T1^10*T2^9 + 501*T1^11*T2^9 - 
      255*T1^12*T2^9 + 192*T1^4*T2^10 - 959*T1^5*T2^10 - 88*T1^6*T2^10 + 
      4916*T1^7*T2^10 - 7616*T1^8*T2^10 + 4916*T1^9*T2^10 - 88*T1^10*T2^10 - 
      959*T1^11*T2^10 + 192*T1^12*T2^10 - 71*T1^5*T2^11 + 490*T1^6*T2^11 - 
      959*T1^7*T2^11 + 501*T1^8*T2^11 + 501*T1^9*T2^11 - 959*T1^10*T2^11 + 
      490*T1^11*T2^11 - 71*T1^12*T2^11 + 9*T1^6*T2^12 - 71*T1^7*T2^12 + 
      192*T1^8*T2^12 - 255*T1^9*T2^12 + 192*T1^10*T2^12 - 71*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 176] -> 
  {(2 - 13*T + 31*T^2 - 39*T^3 + 31*T^4 - 13*T^5 + 2*T^6)/T^3, 
   -((7 - 45*T1 + 106*T1^2 - 133*T1^3 + 106*T1^4 - 45*T1^5 + 7*T1^6 - 45*T2 + 
      244*T1*T2 - 391*T1^2*T2 + 173*T1^3*T2 + 173*T1^4*T2 - 391*T1^5*T2 + 
      244*T1^6*T2 - 45*T1^7*T2 + 106*T2^2 - 391*T1*T2^2 - 117*T1^2*T2^2 + 
      1568*T1^3*T2^2 - 2141*T1^4*T2^2 + 1568*T1^5*T2^2 - 117*T1^6*T2^2 - 
      391*T1^7*T2^2 + 106*T1^8*T2^2 - 133*T2^3 + 173*T1*T2^3 + 
      1568*T1^2*T2^3 - 3310*T1^3*T2^3 + 1445*T1^4*T2^3 + 1445*T1^5*T2^3 - 
      3310*T1^6*T2^3 + 1568*T1^7*T2^3 + 173*T1^8*T2^3 - 133*T1^9*T2^3 + 
      106*T2^4 + 173*T1*T2^4 - 2141*T1^2*T2^4 + 1445*T1^3*T2^4 + 
      3979*T1^4*T2^4 - 6267*T1^5*T2^4 + 3979*T1^6*T2^4 + 1445*T1^7*T2^4 - 
      2141*T1^8*T2^4 + 173*T1^9*T2^4 + 106*T1^10*T2^4 - 45*T2^5 - 
      391*T1*T2^5 + 1568*T1^2*T2^5 + 1445*T1^3*T2^5 - 6267*T1^4*T2^5 + 
      3180*T1^5*T2^5 + 3180*T1^6*T2^5 - 6267*T1^7*T2^5 + 1445*T1^8*T2^5 + 
      1568*T1^9*T2^5 - 391*T1^10*T2^5 - 45*T1^11*T2^5 + 7*T2^6 + 
      244*T1*T2^6 - 117*T1^2*T2^6 - 3310*T1^3*T2^6 + 3979*T1^4*T2^6 + 
      3180*T1^5*T2^6 - 6924*T1^6*T2^6 + 3180*T1^7*T2^6 + 3979*T1^8*T2^6 - 
      3310*T1^9*T2^6 - 117*T1^10*T2^6 + 244*T1^11*T2^6 + 7*T1^12*T2^6 - 
      45*T1*T2^7 - 391*T1^2*T2^7 + 1568*T1^3*T2^7 + 1445*T1^4*T2^7 - 
      6267*T1^5*T2^7 + 3180*T1^6*T2^7 + 3180*T1^7*T2^7 - 6267*T1^8*T2^7 + 
      1445*T1^9*T2^7 + 1568*T1^10*T2^7 - 391*T1^11*T2^7 - 45*T1^12*T2^7 + 
      106*T1^2*T2^8 + 173*T1^3*T2^8 - 2141*T1^4*T2^8 + 1445*T1^5*T2^8 + 
      3979*T1^6*T2^8 - 6267*T1^7*T2^8 + 3979*T1^8*T2^8 + 1445*T1^9*T2^8 - 
      2141*T1^10*T2^8 + 173*T1^11*T2^8 + 106*T1^12*T2^8 - 133*T1^3*T2^9 + 
      173*T1^4*T2^9 + 1568*T1^5*T2^9 - 3310*T1^6*T2^9 + 1445*T1^7*T2^9 + 
      1445*T1^8*T2^9 - 3310*T1^9*T2^9 + 1568*T1^10*T2^9 + 173*T1^11*T2^9 - 
      133*T1^12*T2^9 + 106*T1^4*T2^10 - 391*T1^5*T2^10 - 117*T1^6*T2^10 + 
      1568*T1^7*T2^10 - 2141*T1^8*T2^10 + 1568*T1^9*T2^10 - 117*T1^10*T2^10 - 
      391*T1^11*T2^10 + 106*T1^12*T2^10 - 45*T1^5*T2^11 + 244*T1^6*T2^11 - 
      391*T1^7*T2^11 + 173*T1^8*T2^11 + 173*T1^9*T2^11 - 391*T1^10*T2^11 + 
      244*T1^11*T2^11 - 45*T1^12*T2^11 + 7*T1^6*T2^12 - 45*T1^7*T2^12 + 
      106*T1^8*T2^12 - 133*T1^9*T2^12 + 106*T1^10*T2^12 - 45*T1^11*T2^12 + 
      7*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 177] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^3, 
   -((9 - 67*T1 + 182*T1^2 - 243*T1^3 + 182*T1^4 - 67*T1^5 + 9*T1^6 - 67*T2 + 
      432*T1*T2 - 857*T1^2*T2 + 455*T1^3*T2 + 455*T1^4*T2 - 857*T1^5*T2 + 
      432*T1^6*T2 - 67*T1^7*T2 + 182*T2^2 - 857*T1*T2^2 + 196*T1^2*T2^2 + 
      3640*T1^3*T2^2 - 5864*T1^4*T2^2 + 3640*T1^5*T2^2 + 196*T1^6*T2^2 - 
      857*T1^7*T2^2 + 182*T1^8*T2^2 - 243*T2^3 + 455*T1*T2^3 + 
      3640*T1^2*T2^3 - 10482*T1^3*T2^3 + 5834*T1^4*T2^3 + 5834*T1^5*T2^3 - 
      10482*T1^6*T2^3 + 3640*T1^7*T2^3 + 455*T1^8*T2^3 - 243*T1^9*T2^3 + 
      182*T2^4 + 455*T1*T2^4 - 5864*T1^2*T2^4 + 5834*T1^3*T2^4 + 
      14838*T1^4*T2^4 - 27344*T1^5*T2^4 + 14838*T1^6*T2^4 + 5834*T1^7*T2^4 - 
      5864*T1^8*T2^4 + 455*T1^9*T2^4 + 182*T1^10*T2^4 - 67*T2^5 - 
      857*T1*T2^5 + 3640*T1^2*T2^5 + 5834*T1^3*T2^5 - 27344*T1^4*T2^5 + 
      16036*T1^5*T2^5 + 16036*T1^6*T2^5 - 27344*T1^7*T2^5 + 5834*T1^8*T2^5 + 
      3640*T1^9*T2^5 - 857*T1^10*T2^5 - 67*T1^11*T2^5 + 9*T2^6 + 
      432*T1*T2^6 + 196*T1^2*T2^6 - 10482*T1^3*T2^6 + 14838*T1^4*T2^6 + 
      16036*T1^5*T2^6 - 35712*T1^6*T2^6 + 16036*T1^7*T2^6 + 14838*T1^8*T2^6 - 
      10482*T1^9*T2^6 + 196*T1^10*T2^6 + 432*T1^11*T2^6 + 9*T1^12*T2^6 - 
      67*T1*T2^7 - 857*T1^2*T2^7 + 3640*T1^3*T2^7 + 5834*T1^4*T2^7 - 
      27344*T1^5*T2^7 + 16036*T1^6*T2^7 + 16036*T1^7*T2^7 - 27344*T1^8*T2^7 + 
      5834*T1^9*T2^7 + 3640*T1^10*T2^7 - 857*T1^11*T2^7 - 67*T1^12*T2^7 + 
      182*T1^2*T2^8 + 455*T1^3*T2^8 - 5864*T1^4*T2^8 + 5834*T1^5*T2^8 + 
      14838*T1^6*T2^8 - 27344*T1^7*T2^8 + 14838*T1^8*T2^8 + 5834*T1^9*T2^8 - 
      5864*T1^10*T2^8 + 455*T1^11*T2^8 + 182*T1^12*T2^8 - 243*T1^3*T2^9 + 
      455*T1^4*T2^9 + 3640*T1^5*T2^9 - 10482*T1^6*T2^9 + 5834*T1^7*T2^9 + 
      5834*T1^8*T2^9 - 10482*T1^9*T2^9 + 3640*T1^10*T2^9 + 455*T1^11*T2^9 - 
      243*T1^12*T2^9 + 182*T1^4*T2^10 - 857*T1^5*T2^10 + 196*T1^6*T2^10 + 
      3640*T1^7*T2^10 - 5864*T1^8*T2^10 + 3640*T1^9*T2^10 + 196*T1^10*T2^10 - 
      857*T1^11*T2^10 + 182*T1^12*T2^10 - 67*T1^5*T2^11 + 432*T1^6*T2^11 - 
      857*T1^7*T2^11 + 455*T1^8*T2^11 + 455*T1^9*T2^11 - 857*T1^10*T2^11 + 
      432*T1^11*T2^11 - 67*T1^12*T2^11 + 9*T1^6*T2^12 - 67*T1^7*T2^12 + 
      182*T1^8*T2^12 - 243*T1^9*T2^12 + 182*T1^10*T2^12 - 67*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 178] -> 
  {(3 - 16*T + 32*T^2 - 37*T^3 + 32*T^4 - 16*T^5 + 3*T^6)/T^3, 
   -((24 - 124*T1 + 244*T1^2 - 282*T1^3 + 244*T1^4 - 124*T1^5 + 24*T1^6 - 
      124*T2 + 516*T1*T2 - 619*T1^2*T2 + 196*T1^3*T2 + 196*T1^4*T2 - 
      619*T1^5*T2 + 516*T1^6*T2 - 124*T1^7*T2 + 244*T2^2 - 619*T1*T2^2 - 
      592*T1^2*T2^2 + 2462*T1^3*T2^2 - 2722*T1^4*T2^2 + 2462*T1^5*T2^2 - 
      592*T1^6*T2^2 - 619*T1^7*T2^2 + 244*T1^8*T2^2 - 282*T2^3 + 
      196*T1*T2^3 + 2462*T1^2*T2^3 - 3748*T1^3*T2^3 + 1054*T1^4*T2^3 + 
      1054*T1^5*T2^3 - 3748*T1^6*T2^3 + 2462*T1^7*T2^3 + 196*T1^8*T2^3 - 
      282*T1^9*T2^3 + 244*T2^4 + 196*T1*T2^4 - 2722*T1^2*T2^4 + 
      1054*T1^3*T2^4 + 4700*T1^4*T2^4 - 6010*T1^5*T2^4 + 4700*T1^6*T2^4 + 
      1054*T1^7*T2^4 - 2722*T1^8*T2^4 + 196*T1^9*T2^4 + 244*T1^10*T2^4 - 
      124*T2^5 - 619*T1*T2^5 + 2462*T1^2*T2^5 + 1054*T1^3*T2^5 - 
      6010*T1^4*T2^5 + 2752*T1^5*T2^5 + 2752*T1^6*T2^5 - 6010*T1^7*T2^5 + 
      1054*T1^8*T2^5 + 2462*T1^9*T2^5 - 619*T1^10*T2^5 - 124*T1^11*T2^5 + 
      24*T2^6 + 516*T1*T2^6 - 592*T1^2*T2^6 - 3748*T1^3*T2^6 + 
      4700*T1^4*T2^6 + 2752*T1^5*T2^6 - 6384*T1^6*T2^6 + 2752*T1^7*T2^6 + 
      4700*T1^8*T2^6 - 3748*T1^9*T2^6 - 592*T1^10*T2^6 + 516*T1^11*T2^6 + 
      24*T1^12*T2^6 - 124*T1*T2^7 - 619*T1^2*T2^7 + 2462*T1^3*T2^7 + 
      1054*T1^4*T2^7 - 6010*T1^5*T2^7 + 2752*T1^6*T2^7 + 2752*T1^7*T2^7 - 
      6010*T1^8*T2^7 + 1054*T1^9*T2^7 + 2462*T1^10*T2^7 - 619*T1^11*T2^7 - 
      124*T1^12*T2^7 + 244*T1^2*T2^8 + 196*T1^3*T2^8 - 2722*T1^4*T2^8 + 
      1054*T1^5*T2^8 + 4700*T1^6*T2^8 - 6010*T1^7*T2^8 + 4700*T1^8*T2^8 + 
      1054*T1^9*T2^8 - 2722*T1^10*T2^8 + 196*T1^11*T2^8 + 244*T1^12*T2^8 - 
      282*T1^3*T2^9 + 196*T1^4*T2^9 + 2462*T1^5*T2^9 - 3748*T1^6*T2^9 + 
      1054*T1^7*T2^9 + 1054*T1^8*T2^9 - 3748*T1^9*T2^9 + 2462*T1^10*T2^9 + 
      196*T1^11*T2^9 - 282*T1^12*T2^9 + 244*T1^4*T2^10 - 619*T1^5*T2^10 - 
      592*T1^6*T2^10 + 2462*T1^7*T2^10 - 2722*T1^8*T2^10 + 2462*T1^9*T2^10 - 
      592*T1^10*T2^10 - 619*T1^11*T2^10 + 244*T1^12*T2^10 - 124*T1^5*T2^11 + 
      516*T1^6*T2^11 - 619*T1^7*T2^11 + 196*T1^8*T2^11 + 196*T1^9*T2^11 - 
      619*T1^10*T2^11 + 516*T1^11*T2^11 - 124*T1^12*T2^11 + 24*T1^6*T2^12 - 
      124*T1^7*T2^12 + 244*T1^8*T2^12 - 282*T1^9*T2^12 + 244*T1^10*T2^12 - 
      124*T1^11*T2^12 + 24*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), -((1 - 7*T1 + 18*T1^2 - 27*T1^3 + 29*T1^4 - 27*T1^5 + 18*T1^6 - 
      7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 77*T1^2*T2 + 63*T1^3*T2 - 
      14*T1^4*T2 - 14*T1^5*T2 + 63*T1^6*T2 - 77*T1^7*T2 + 42*T1^8*T2 - 
      7*T1^9*T2 + 18*T2^2 - 77*T1*T2^2 - 6*T1^2*T2^2 + 287*T1^3*T2^2 - 
      508*T1^4*T2^2 + 486*T1^5*T2^2 - 508*T1^6*T2^2 + 287*T1^7*T2^2 - 
      6*T1^8*T2^2 - 77*T1^9*T2^2 + 18*T1^10*T2^2 - 27*T2^3 + 63*T1*T2^3 + 
      287*T1^2*T2^3 - 738*T1^3*T2^3 + 622*T1^4*T2^3 - 54*T1^5*T2^3 - 
      54*T1^6*T2^3 + 622*T1^7*T2^3 - 738*T1^8*T2^3 + 287*T1^9*T2^3 + 
      63*T1^10*T2^3 - 27*T1^11*T2^3 + 29*T2^4 - 14*T1*T2^4 - 508*T1^2*T2^4 + 
      622*T1^3*T2^4 + 265*T1^4*T2^4 - 1130*T1^5*T2^4 + 757*T1^6*T2^4 - 
      1130*T1^7*T2^4 + 265*T1^8*T2^4 + 622*T1^9*T2^4 - 508*T1^10*T2^4 - 
      14*T1^11*T2^4 + 29*T1^12*T2^4 - 27*T2^5 - 14*T1*T2^5 + 486*T1^2*T2^5 - 
      54*T1^3*T2^5 - 1130*T1^4*T2^5 + 1342*T1^5*T2^5 - 10*T1^6*T2^5 - 
      10*T1^7*T2^5 + 1342*T1^8*T2^5 - 1130*T1^9*T2^5 - 54*T1^10*T2^5 + 
      486*T1^11*T2^5 - 14*T1^12*T2^5 - 27*T1^13*T2^5 + 18*T2^6 + 63*T1*T2^6 - 
      508*T1^2*T2^6 - 54*T1^3*T2^6 + 757*T1^4*T2^6 - 10*T1^5*T2^6 - 
      1725*T1^6*T2^6 + 1403*T1^7*T2^6 - 1725*T1^8*T2^6 - 10*T1^9*T2^6 + 
      757*T1^10*T2^6 - 54*T1^11*T2^6 - 508*T1^12*T2^6 + 63*T1^13*T2^6 + 
      18*T1^14*T2^6 - 7*T2^7 - 77*T1*T2^7 + 287*T1^2*T2^7 + 622*T1^3*T2^7 - 
      1130*T1^4*T2^7 - 10*T1^5*T2^7 + 1403*T1^6*T2^7 - 266*T1^7*T2^7 - 
      266*T1^8*T2^7 + 1403*T1^9*T2^7 - 10*T1^10*T2^7 - 1130*T1^11*T2^7 + 
      622*T1^12*T2^7 + 287*T1^13*T2^7 - 77*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 
      42*T1*T2^8 - 6*T1^2*T2^8 - 738*T1^3*T2^8 + 265*T1^4*T2^8 + 
      1342*T1^5*T2^8 - 1725*T1^6*T2^8 - 266*T1^7*T2^8 + 504*T1^8*T2^8 - 
      266*T1^9*T2^8 - 1725*T1^10*T2^8 + 1342*T1^11*T2^8 + 265*T1^12*T2^8 - 
      738*T1^13*T2^8 - 6*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 
      7*T1*T2^9 - 77*T1^2*T2^9 + 287*T1^3*T2^9 + 622*T1^4*T2^9 - 
      1130*T1^5*T2^9 - 10*T1^6*T2^9 + 1403*T1^7*T2^9 - 266*T1^8*T2^9 - 
      266*T1^9*T2^9 + 1403*T1^10*T2^9 - 10*T1^11*T2^9 - 1130*T1^12*T2^9 + 
      622*T1^13*T2^9 + 287*T1^14*T2^9 - 77*T1^15*T2^9 - 7*T1^16*T2^9 + 
      18*T1^2*T2^10 + 63*T1^3*T2^10 - 508*T1^4*T2^10 - 54*T1^5*T2^10 + 
      757*T1^6*T2^10 - 10*T1^7*T2^10 - 1725*T1^8*T2^10 + 1403*T1^9*T2^10 - 
      1725*T1^10*T2^10 - 10*T1^11*T2^10 + 757*T1^12*T2^10 - 54*T1^13*T2^10 - 
      508*T1^14*T2^10 + 63*T1^15*T2^10 + 18*T1^16*T2^10 - 27*T1^3*T2^11 - 
      14*T1^4*T2^11 + 486*T1^5*T2^11 - 54*T1^6*T2^11 - 1130*T1^7*T2^11 + 
      1342*T1^8*T2^11 - 10*T1^9*T2^11 - 10*T1^10*T2^11 + 1342*T1^11*T2^11 - 
      1130*T1^12*T2^11 - 54*T1^13*T2^11 + 486*T1^14*T2^11 - 14*T1^15*T2^11 - 
      27*T1^16*T2^11 + 29*T1^4*T2^12 - 14*T1^5*T2^12 - 508*T1^6*T2^12 + 
      622*T1^7*T2^12 + 265*T1^8*T2^12 - 1130*T1^9*T2^12 + 757*T1^10*T2^12 - 
      1130*T1^11*T2^12 + 265*T1^12*T2^12 + 622*T1^13*T2^12 - 
      508*T1^14*T2^12 - 14*T1^15*T2^12 + 29*T1^16*T2^12 - 27*T1^5*T2^13 + 
      63*T1^6*T2^13 + 287*T1^7*T2^13 - 738*T1^8*T2^13 + 622*T1^9*T2^13 - 
      54*T1^10*T2^13 - 54*T1^11*T2^13 + 622*T1^12*T2^13 - 738*T1^13*T2^13 + 
      287*T1^14*T2^13 + 63*T1^15*T2^13 - 27*T1^16*T2^13 + 18*T1^6*T2^14 - 
      77*T1^7*T2^14 - 6*T1^8*T2^14 + 287*T1^9*T2^14 - 508*T1^10*T2^14 + 
      486*T1^11*T2^14 - 508*T1^12*T2^14 + 287*T1^13*T2^14 - 6*T1^14*T2^14 - 
      77*T1^15*T2^14 + 18*T1^16*T2^14 - 7*T1^7*T2^15 + 42*T1^8*T2^15 - 
      77*T1^9*T2^15 + 63*T1^10*T2^15 - 14*T1^11*T2^15 - 14*T1^12*T2^15 + 
      63*T1^13*T2^15 - 77*T1^14*T2^15 + 42*T1^15*T2^15 - 7*T1^16*T2^15 + 
      T1^8*T2^16 - 7*T1^9*T2^16 + 18*T1^10*T2^16 - 27*T1^11*T2^16 + 
      29*T1^12*T2^16 - 27*T1^13*T2^16 + 18*T1^14*T2^16 - 7*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 180] -> 
  {-((2 - 15*T + 41*T^2 - 57*T^3 + 41*T^4 - 15*T^5 + 2*T^6)/T^3), 
   -((1 - 7*T1 + 18*T1^2 - 25*T1^3 + 18*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 77*T1^2*T2 + 49*T1^3*T2 + 49*T1^4*T2 - 77*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 18*T2^2 - 77*T1*T2^2 - 35*T1^2*T2^2 + 
      416*T1^3*T2^2 - 737*T1^4*T2^2 + 416*T1^5*T2^2 - 35*T1^6*T2^2 - 
      77*T1^7*T2^2 + 18*T1^8*T2^2 - 25*T2^3 + 49*T1*T2^3 + 416*T1^2*T2^3 - 
      1024*T1^3*T2^3 + 769*T1^4*T2^3 + 769*T1^5*T2^3 - 1024*T1^6*T2^3 + 
      416*T1^7*T2^3 + 49*T1^8*T2^3 - 25*T1^9*T2^3 + 18*T2^4 + 49*T1*T2^4 - 
      737*T1^2*T2^4 + 769*T1^3*T2^4 + 709*T1^4*T2^4 - 2579*T1^5*T2^4 + 
      709*T1^6*T2^4 + 769*T1^7*T2^4 - 737*T1^8*T2^4 + 49*T1^9*T2^4 + 
      18*T1^10*T2^4 - 7*T2^5 - 77*T1*T2^5 + 416*T1^2*T2^5 + 769*T1^3*T2^5 - 
      2579*T1^4*T2^5 + 2324*T1^5*T2^5 + 2324*T1^6*T2^5 - 2579*T1^7*T2^5 + 
      769*T1^8*T2^5 + 416*T1^9*T2^5 - 77*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 - 35*T1^2*T2^6 - 1024*T1^3*T2^6 + 709*T1^4*T2^6 + 
      2324*T1^5*T2^6 - 6072*T1^6*T2^6 + 2324*T1^7*T2^6 + 709*T1^8*T2^6 - 
      1024*T1^9*T2^6 - 35*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 77*T1^2*T2^7 + 416*T1^3*T2^7 + 769*T1^4*T2^7 - 
      2579*T1^5*T2^7 + 2324*T1^6*T2^7 + 2324*T1^7*T2^7 - 2579*T1^8*T2^7 + 
      769*T1^9*T2^7 + 416*T1^10*T2^7 - 77*T1^11*T2^7 - 7*T1^12*T2^7 + 
      18*T1^2*T2^8 + 49*T1^3*T2^8 - 737*T1^4*T2^8 + 769*T1^5*T2^8 + 
      709*T1^6*T2^8 - 2579*T1^7*T2^8 + 709*T1^8*T2^8 + 769*T1^9*T2^8 - 
      737*T1^10*T2^8 + 49*T1^11*T2^8 + 18*T1^12*T2^8 - 25*T1^3*T2^9 + 
      49*T1^4*T2^9 + 416*T1^5*T2^9 - 1024*T1^6*T2^9 + 769*T1^7*T2^9 + 
      769*T1^8*T2^9 - 1024*T1^9*T2^9 + 416*T1^10*T2^9 + 49*T1^11*T2^9 - 
      25*T1^12*T2^9 + 18*T1^4*T2^10 - 77*T1^5*T2^10 - 35*T1^6*T2^10 + 
      416*T1^7*T2^10 - 737*T1^8*T2^10 + 416*T1^9*T2^10 - 35*T1^10*T2^10 - 
      77*T1^11*T2^10 + 18*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      77*T1^7*T2^11 + 49*T1^8*T2^11 + 49*T1^9*T2^11 - 77*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      18*T1^8*T2^12 - 25*T1^9*T2^12 + 18*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 181] -> 
  {-(((1 - 3*T + T^2)*(1 - 8*T + 15*T^2 - 8*T^3 + T^4))/T^3), 
   -((11 - 50*T1 + 79*T1^2 - 50*T1^3 + 11*T1^4 - 50*T2 + 174*T1*T2 - 
      129*T1^2*T2 - 129*T1^3*T2 + 174*T1^4*T2 - 50*T1^5*T2 + 79*T2^2 - 
      129*T1*T2^2 - 349*T1^2*T2^2 + 841*T1^3*T2^2 - 349*T1^4*T2^2 - 
      129*T1^5*T2^2 + 79*T1^6*T2^2 - 50*T2^3 - 129*T1*T2^3 + 841*T1^2*T2^3 - 
      712*T1^3*T2^3 - 712*T1^4*T2^3 + 841*T1^5*T2^3 - 129*T1^6*T2^3 - 
      50*T1^7*T2^3 + 11*T2^4 + 174*T1*T2^4 - 349*T1^2*T2^4 - 712*T1^3*T2^4 + 
      1884*T1^4*T2^4 - 712*T1^5*T2^4 - 349*T1^6*T2^4 + 174*T1^7*T2^4 + 
      11*T1^8*T2^4 - 50*T1*T2^5 - 129*T1^2*T2^5 + 841*T1^3*T2^5 - 
      712*T1^4*T2^5 - 712*T1^5*T2^5 + 841*T1^6*T2^5 - 129*T1^7*T2^5 - 
      50*T1^8*T2^5 + 79*T1^2*T2^6 - 129*T1^3*T2^6 - 349*T1^4*T2^6 + 
      841*T1^5*T2^6 - 349*T1^6*T2^6 - 129*T1^7*T2^6 + 79*T1^8*T2^6 - 
      50*T1^3*T2^7 + 174*T1^4*T2^7 - 129*T1^5*T2^7 - 129*T1^6*T2^7 + 
      174*T1^7*T2^7 - 50*T1^8*T2^7 + 11*T1^4*T2^8 - 50*T1^5*T2^8 + 
      79*T1^6*T2^8 - 50*T1^7*T2^8 + 11*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, Alternating, 182] -> 
  {-(((1 - T + T^2)^2*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^4), 
   (1 - 7*T1 + 20*T1^2 - 36*T1^3 + 43*T1^4 - 36*T1^5 + 20*T1^6 - 7*T1^7 + 
     T1^8 - 7*T2 + 42*T1*T2 - 91*T1^2*T2 + 112*T1^3*T2 - 49*T1^4*T2 - 
     49*T1^5*T2 + 112*T1^6*T2 - 91*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 
     20*T2^2 - 91*T1*T2^2 + 82*T1^2*T2^2 + 105*T1^3*T2^2 - 480*T1^4*T2^2 + 
     642*T1^5*T2^2 - 480*T1^6*T2^2 + 105*T1^7*T2^2 + 82*T1^8*T2^2 - 
     91*T1^9*T2^2 + 20*T1^10*T2^2 - 36*T2^3 + 112*T1*T2^3 + 105*T1^2*T2^3 - 
     544*T1^3*T2^3 + 951*T1^4*T2^3 - 427*T1^5*T2^3 - 427*T1^6*T2^3 + 
     951*T1^7*T2^3 - 544*T1^8*T2^3 + 105*T1^9*T2^3 + 112*T1^10*T2^3 - 
     36*T1^11*T2^3 + 43*T2^4 - 49*T1*T2^4 - 480*T1^2*T2^4 + 951*T1^3*T2^4 - 
     907*T1^4*T2^4 - 627*T1^5*T2^4 + 1301*T1^6*T2^4 - 627*T1^7*T2^4 - 
     907*T1^8*T2^4 + 951*T1^9*T2^4 - 480*T1^10*T2^4 - 49*T1^11*T2^4 + 
     43*T1^12*T2^4 - 36*T2^5 - 49*T1*T2^5 + 642*T1^2*T2^5 - 427*T1^3*T2^5 - 
     627*T1^4*T2^5 + 2586*T1^5*T2^5 - 1281*T1^6*T2^5 - 1281*T1^7*T2^5 + 
     2586*T1^8*T2^5 - 627*T1^9*T2^5 - 427*T1^10*T2^5 + 642*T1^11*T2^5 - 
     49*T1^12*T2^5 - 36*T1^13*T2^5 + 20*T2^6 + 112*T1*T2^6 - 480*T1^2*T2^6 - 
     427*T1^3*T2^6 + 1301*T1^4*T2^6 - 1281*T1^5*T2^6 - 3102*T1^6*T2^6 + 
     5264*T1^7*T2^6 - 3102*T1^8*T2^6 - 1281*T1^9*T2^6 + 1301*T1^10*T2^6 - 
     427*T1^11*T2^6 - 480*T1^12*T2^6 + 112*T1^13*T2^6 + 20*T1^14*T2^6 - 
     7*T2^7 - 91*T1*T2^7 + 105*T1^2*T2^7 + 951*T1^3*T2^7 - 627*T1^4*T2^7 - 
     1281*T1^5*T2^7 + 5264*T1^6*T2^7 - 2782*T1^7*T2^7 - 2782*T1^8*T2^7 + 
     5264*T1^9*T2^7 - 1281*T1^10*T2^7 - 627*T1^11*T2^7 + 951*T1^12*T2^7 + 
     105*T1^13*T2^7 - 91*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 
     82*T1^2*T2^8 - 544*T1^3*T2^8 - 907*T1^4*T2^8 + 2586*T1^5*T2^8 - 
     3102*T1^6*T2^8 - 2782*T1^7*T2^8 + 5964*T1^8*T2^8 - 2782*T1^9*T2^8 - 
     3102*T1^10*T2^8 + 2586*T1^11*T2^8 - 907*T1^12*T2^8 - 544*T1^13*T2^8 + 
     82*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 91*T1^2*T2^9 + 
     105*T1^3*T2^9 + 951*T1^4*T2^9 - 627*T1^5*T2^9 - 1281*T1^6*T2^9 + 
     5264*T1^7*T2^9 - 2782*T1^8*T2^9 - 2782*T1^9*T2^9 + 5264*T1^10*T2^9 - 
     1281*T1^11*T2^9 - 627*T1^12*T2^9 + 951*T1^13*T2^9 + 105*T1^14*T2^9 - 
     91*T1^15*T2^9 - 7*T1^16*T2^9 + 20*T1^2*T2^10 + 112*T1^3*T2^10 - 
     480*T1^4*T2^10 - 427*T1^5*T2^10 + 1301*T1^6*T2^10 - 1281*T1^7*T2^10 - 
     3102*T1^8*T2^10 + 5264*T1^9*T2^10 - 3102*T1^10*T2^10 - 
     1281*T1^11*T2^10 + 1301*T1^12*T2^10 - 427*T1^13*T2^10 - 
     480*T1^14*T2^10 + 112*T1^15*T2^10 + 20*T1^16*T2^10 - 36*T1^3*T2^11 - 
     49*T1^4*T2^11 + 642*T1^5*T2^11 - 427*T1^6*T2^11 - 627*T1^7*T2^11 + 
     2586*T1^8*T2^11 - 1281*T1^9*T2^11 - 1281*T1^10*T2^11 + 
     2586*T1^11*T2^11 - 627*T1^12*T2^11 - 427*T1^13*T2^11 + 642*T1^14*T2^11 - 
     49*T1^15*T2^11 - 36*T1^16*T2^11 + 43*T1^4*T2^12 - 49*T1^5*T2^12 - 
     480*T1^6*T2^12 + 951*T1^7*T2^12 - 907*T1^8*T2^12 - 627*T1^9*T2^12 + 
     1301*T1^10*T2^12 - 627*T1^11*T2^12 - 907*T1^12*T2^12 + 951*T1^13*T2^12 - 
     480*T1^14*T2^12 - 49*T1^15*T2^12 + 43*T1^16*T2^12 - 36*T1^5*T2^13 + 
     112*T1^6*T2^13 + 105*T1^7*T2^13 - 544*T1^8*T2^13 + 951*T1^9*T2^13 - 
     427*T1^10*T2^13 - 427*T1^11*T2^13 + 951*T1^12*T2^13 - 544*T1^13*T2^13 + 
     105*T1^14*T2^13 + 112*T1^15*T2^13 - 36*T1^16*T2^13 + 20*T1^6*T2^14 - 
     91*T1^7*T2^14 + 82*T1^8*T2^14 + 105*T1^9*T2^14 - 480*T1^10*T2^14 + 
     642*T1^11*T2^14 - 480*T1^12*T2^14 + 105*T1^13*T2^14 + 82*T1^14*T2^14 - 
     91*T1^15*T2^14 + 20*T1^16*T2^14 - 7*T1^7*T2^15 + 42*T1^8*T2^15 - 
     91*T1^9*T2^15 + 112*T1^10*T2^15 - 49*T1^11*T2^15 - 49*T1^12*T2^15 + 
     112*T1^13*T2^15 - 91*T1^14*T2^15 + 42*T1^15*T2^15 - 7*T1^16*T2^15 + 
     T1^8*T2^16 - 7*T1^9*T2^16 + 20*T1^10*T2^16 - 36*T1^11*T2^16 + 
     43*T1^12*T2^16 - 36*T1^13*T2^16 + 20*T1^14*T2^16 - 7*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, Knot[12, Alternating, 183] -> 
  {((3 - 6*T + 2*T^2)*(2 - 6*T + 3*T^2))/T^2, 
   -((3 - 9*T1^2 + 3*T1^4 - 70*T1*T2 + 84*T1^2*T2 + 84*T1^3*T2 - 70*T1^4*T2 - 
      9*T2^2 + 84*T1*T2^2 + 337*T1^2*T2^2 - 929*T1^3*T2^2 + 337*T1^4*T2^2 + 
      84*T1^5*T2^2 - 9*T1^6*T2^2 + 84*T1*T2^3 - 929*T1^2*T2^3 + 
      952*T1^3*T2^3 + 952*T1^4*T2^3 - 929*T1^5*T2^3 + 84*T1^6*T2^3 + 3*T2^4 - 
      70*T1*T2^4 + 337*T1^2*T2^4 + 952*T1^3*T2^4 - 2712*T1^4*T2^4 + 
      952*T1^5*T2^4 + 337*T1^6*T2^4 - 70*T1^7*T2^4 + 3*T1^8*T2^4 + 
      84*T1^2*T2^5 - 929*T1^3*T2^5 + 952*T1^4*T2^5 + 952*T1^5*T2^5 - 
      929*T1^6*T2^5 + 84*T1^7*T2^5 - 9*T1^2*T2^6 + 84*T1^3*T2^6 + 
      337*T1^4*T2^6 - 929*T1^5*T2^6 + 337*T1^6*T2^6 + 84*T1^7*T2^6 - 
      9*T1^8*T2^6 - 70*T1^4*T2^7 + 84*T1^5*T2^7 + 84*T1^6*T2^7 - 
      70*T1^7*T2^7 + 3*T1^4*T2^8 - 9*T1^6*T2^8 + 3*T1^8*T2^8)/(T1^4*T2^4))}, 
 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, 
   -((1 - 7*T1 + 15*T1^2 - 19*T1^3 + 15*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 60*T1^2*T2 + 30*T1^3*T2 + 30*T1^4*T2 - 60*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 15*T2^2 - 60*T1*T2^2 - 84*T1^2*T2^2 + 
      365*T1^3*T2^2 - 516*T1^4*T2^2 + 365*T1^5*T2^2 - 84*T1^6*T2^2 - 
      60*T1^7*T2^2 + 15*T1^8*T2^2 - 19*T2^3 + 30*T1*T2^3 + 365*T1^2*T2^3 - 
      642*T1^3*T2^3 + 326*T1^4*T2^3 + 326*T1^5*T2^3 - 642*T1^6*T2^3 + 
      365*T1^7*T2^3 + 30*T1^8*T2^3 - 19*T1^9*T2^3 + 15*T2^4 + 30*T1*T2^4 - 
      516*T1^2*T2^4 + 326*T1^3*T2^4 + 474*T1^4*T2^4 - 894*T1^5*T2^4 + 
      474*T1^6*T2^4 + 326*T1^7*T2^4 - 516*T1^8*T2^4 + 30*T1^9*T2^4 + 
      15*T1^10*T2^4 - 7*T2^5 - 60*T1*T2^5 + 365*T1^2*T2^5 + 326*T1^3*T2^5 - 
      894*T1^4*T2^5 + 446*T1^5*T2^5 + 446*T1^6*T2^5 - 894*T1^7*T2^5 + 
      326*T1^8*T2^5 + 365*T1^9*T2^5 - 60*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 - 84*T1^2*T2^6 - 642*T1^3*T2^6 + 474*T1^4*T2^6 + 
      446*T1^5*T2^6 - 876*T1^6*T2^6 + 446*T1^7*T2^6 + 474*T1^8*T2^6 - 
      642*T1^9*T2^6 - 84*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 60*T1^2*T2^7 + 365*T1^3*T2^7 + 326*T1^4*T2^7 - 
      894*T1^5*T2^7 + 446*T1^6*T2^7 + 446*T1^7*T2^7 - 894*T1^8*T2^7 + 
      326*T1^9*T2^7 + 365*T1^10*T2^7 - 60*T1^11*T2^7 - 7*T1^12*T2^7 + 
      15*T1^2*T2^8 + 30*T1^3*T2^8 - 516*T1^4*T2^8 + 326*T1^5*T2^8 + 
      474*T1^6*T2^8 - 894*T1^7*T2^8 + 474*T1^8*T2^8 + 326*T1^9*T2^8 - 
      516*T1^10*T2^8 + 30*T1^11*T2^8 + 15*T1^12*T2^8 - 19*T1^3*T2^9 + 
      30*T1^4*T2^9 + 365*T1^5*T2^9 - 642*T1^6*T2^9 + 326*T1^7*T2^9 + 
      326*T1^8*T2^9 - 642*T1^9*T2^9 + 365*T1^10*T2^9 + 30*T1^11*T2^9 - 
      19*T1^12*T2^9 + 15*T1^4*T2^10 - 60*T1^5*T2^10 - 84*T1^6*T2^10 + 
      365*T1^7*T2^10 - 516*T1^8*T2^10 + 365*T1^9*T2^10 - 84*T1^10*T2^10 - 
      60*T1^11*T2^10 + 15*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      60*T1^7*T2^11 + 30*T1^8*T2^11 + 30*T1^9*T2^11 - 60*T1^10*T2^11 + 
      42*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)/(T1^6*T2^6))}, 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), 
   -((1 - 8*T1 + 27*T1^2 - 54*T1^3 + 67*T1^4 - 54*T1^5 + 27*T1^6 - 8*T1^7 + 
      T1^8 - 8*T2 + 56*T1*T2 - 152*T1^2*T2 + 216*T1^3*T2 - 104*T1^4*T2 - 
      104*T1^5*T2 + 216*T1^6*T2 - 152*T1^7*T2 + 56*T1^8*T2 - 8*T1^9*T2 + 
      27*T2^2 - 152*T1*T2^2 + 243*T1^2*T2^2 + 60*T1^3*T2^2 - 930*T1^4*T2^2 + 
      1389*T1^5*T2^2 - 930*T1^6*T2^2 + 60*T1^7*T2^2 + 243*T1^8*T2^2 - 
      152*T1^9*T2^2 + 27*T1^10*T2^2 - 54*T2^3 + 216*T1*T2^3 + 60*T1^2*T2^3 - 
      1282*T1^3*T2^3 + 2704*T1^4*T2^3 - 1395*T1^5*T2^3 - 1395*T1^6*T2^3 + 
      2704*T1^7*T2^3 - 1282*T1^8*T2^3 + 60*T1^9*T2^3 + 216*T1^10*T2^3 - 
      54*T1^11*T2^3 + 67*T2^4 - 104*T1*T2^4 - 930*T1^2*T2^4 + 
      2704*T1^3*T2^4 - 2439*T1^4*T2^4 - 3276*T1^5*T2^4 + 6483*T1^6*T2^4 - 
      3276*T1^7*T2^4 - 2439*T1^8*T2^4 + 2704*T1^9*T2^4 - 930*T1^10*T2^4 - 
      104*T1^11*T2^4 + 67*T1^12*T2^4 - 54*T2^5 - 104*T1*T2^5 + 
      1389*T1^2*T2^5 - 1395*T1^3*T2^5 - 3276*T1^4*T2^5 + 11116*T1^5*T2^5 - 
      6078*T1^6*T2^5 - 6078*T1^7*T2^5 + 11116*T1^8*T2^5 - 3276*T1^9*T2^5 - 
      1395*T1^10*T2^5 + 1389*T1^11*T2^5 - 104*T1^12*T2^5 - 54*T1^13*T2^5 + 
      27*T2^6 + 216*T1*T2^6 - 930*T1^2*T2^6 - 1395*T1^3*T2^6 + 
      6483*T1^4*T2^6 - 6078*T1^5*T2^6 - 12687*T1^6*T2^6 + 23381*T1^7*T2^6 - 
      12687*T1^8*T2^6 - 6078*T1^9*T2^6 + 6483*T1^10*T2^6 - 1395*T1^11*T2^6 - 
      930*T1^12*T2^6 + 216*T1^13*T2^6 + 27*T1^14*T2^6 - 8*T2^7 - 
      152*T1*T2^7 + 60*T1^2*T2^7 + 2704*T1^3*T2^7 - 3276*T1^4*T2^7 - 
      6078*T1^5*T2^7 + 23381*T1^6*T2^7 - 13052*T1^7*T2^7 - 13052*T1^8*T2^7 + 
      23381*T1^9*T2^7 - 6078*T1^10*T2^7 - 3276*T1^11*T2^7 + 2704*T1^12*T2^7 + 
      60*T1^13*T2^7 - 152*T1^14*T2^7 - 8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 
      243*T1^2*T2^8 - 1282*T1^3*T2^8 - 2439*T1^4*T2^8 + 11116*T1^5*T2^8 - 
      12687*T1^6*T2^8 - 13052*T1^7*T2^8 + 28224*T1^8*T2^8 - 13052*T1^9*T2^8 - 
      12687*T1^10*T2^8 + 11116*T1^11*T2^8 - 2439*T1^12*T2^8 - 
      1282*T1^13*T2^8 + 243*T1^14*T2^8 + 56*T1^15*T2^8 + T1^16*T2^8 - 
      8*T1*T2^9 - 152*T1^2*T2^9 + 60*T1^3*T2^9 + 2704*T1^4*T2^9 - 
      3276*T1^5*T2^9 - 6078*T1^6*T2^9 + 23381*T1^7*T2^9 - 13052*T1^8*T2^9 - 
      13052*T1^9*T2^9 + 23381*T1^10*T2^9 - 6078*T1^11*T2^9 - 
      3276*T1^12*T2^9 + 2704*T1^13*T2^9 + 60*T1^14*T2^9 - 152*T1^15*T2^9 - 
      8*T1^16*T2^9 + 27*T1^2*T2^10 + 216*T1^3*T2^10 - 930*T1^4*T2^10 - 
      1395*T1^5*T2^10 + 6483*T1^6*T2^10 - 6078*T1^7*T2^10 - 
      12687*T1^8*T2^10 + 23381*T1^9*T2^10 - 12687*T1^10*T2^10 - 
      6078*T1^11*T2^10 + 6483*T1^12*T2^10 - 1395*T1^13*T2^10 - 
      930*T1^14*T2^10 + 216*T1^15*T2^10 + 27*T1^16*T2^10 - 54*T1^3*T2^11 - 
      104*T1^4*T2^11 + 1389*T1^5*T2^11 - 1395*T1^6*T2^11 - 3276*T1^7*T2^11 + 
      11116*T1^8*T2^11 - 6078*T1^9*T2^11 - 6078*T1^10*T2^11 + 
      11116*T1^11*T2^11 - 3276*T1^12*T2^11 - 1395*T1^13*T2^11 + 
      1389*T1^14*T2^11 - 104*T1^15*T2^11 - 54*T1^16*T2^11 + 67*T1^4*T2^12 - 
      104*T1^5*T2^12 - 930*T1^6*T2^12 + 2704*T1^7*T2^12 - 2439*T1^8*T2^12 - 
      3276*T1^9*T2^12 + 6483*T1^10*T2^12 - 3276*T1^11*T2^12 - 
      2439*T1^12*T2^12 + 2704*T1^13*T2^12 - 930*T1^14*T2^12 - 
      104*T1^15*T2^12 + 67*T1^16*T2^12 - 54*T1^5*T2^13 + 216*T1^6*T2^13 + 
      60*T1^7*T2^13 - 1282*T1^8*T2^13 + 2704*T1^9*T2^13 - 1395*T1^10*T2^13 - 
      1395*T1^11*T2^13 + 2704*T1^12*T2^13 - 1282*T1^13*T2^13 + 
      60*T1^14*T2^13 + 216*T1^15*T2^13 - 54*T1^16*T2^13 + 27*T1^6*T2^14 - 
      152*T1^7*T2^14 + 243*T1^8*T2^14 + 60*T1^9*T2^14 - 930*T1^10*T2^14 + 
      1389*T1^11*T2^14 - 930*T1^12*T2^14 + 60*T1^13*T2^14 + 243*T1^14*T2^14 - 
      152*T1^15*T2^14 + 27*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 
      152*T1^9*T2^15 + 216*T1^10*T2^15 - 104*T1^11*T2^15 - 104*T1^12*T2^15 + 
      216*T1^13*T2^15 - 152*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + 
      T1^8*T2^16 - 8*T1^9*T2^16 + 27*T1^10*T2^16 - 54*T1^11*T2^16 + 
      67*T1^12*T2^16 - 54*T1^13*T2^16 + 27*T1^14*T2^16 - 8*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, 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 + 112*T1*T2 - 272*T1^2*T2 + 240*T1^3*T2 - 80*T1^4*T2 - 
      80*T1^5*T2 + 240*T1^6*T2 - 272*T1^7*T2 + 112*T1^8*T2 - 16*T1^9*T2 + 
      50*T2^2 - 272*T1*T2^2 + 275*T1^2*T2^2 + 805*T1^3*T2^2 - 
      1635*T1^4*T2^2 + 1781*T1^5*T2^2 - 1635*T1^6*T2^2 + 805*T1^7*T2^2 + 
      275*T1^8*T2^2 - 272*T1^9*T2^2 + 50*T1^10*T2^2 - 80*T2^3 + 240*T1*T2^3 + 
      805*T1^2*T2^3 - 3698*T1^3*T2^3 + 3109*T1^4*T2^3 - 844*T1^5*T2^3 - 
      844*T1^6*T2^3 + 3109*T1^7*T2^3 - 3698*T1^8*T2^3 + 805*T1^9*T2^3 + 
      240*T1^10*T2^3 - 80*T1^11*T2^3 + 90*T2^4 - 80*T1*T2^4 - 
      1635*T1^2*T2^4 + 3109*T1^3*T2^4 + 4483*T1^4*T2^4 - 9746*T1^5*T2^4 + 
      10087*T1^6*T2^4 - 9746*T1^7*T2^4 + 4483*T1^8*T2^4 + 3109*T1^9*T2^4 - 
      1635*T1^10*T2^4 - 80*T1^11*T2^4 + 90*T1^12*T2^4 - 80*T2^5 - 
      80*T1*T2^5 + 1781*T1^2*T2^5 - 844*T1^3*T2^5 - 9746*T1^4*T2^5 + 
      8162*T1^5*T2^5 - 1641*T1^6*T2^5 - 1641*T1^7*T2^5 + 8162*T1^8*T2^5 - 
      9746*T1^9*T2^5 - 844*T1^10*T2^5 + 1781*T1^11*T2^5 - 80*T1^12*T2^5 - 
      80*T1^13*T2^5 + 50*T2^6 + 240*T1*T2^6 - 1635*T1^2*T2^6 - 
      844*T1^3*T2^6 + 10087*T1^4*T2^6 - 1641*T1^5*T2^6 - 3668*T1^6*T2^6 + 
      2192*T1^7*T2^6 - 3668*T1^8*T2^6 - 1641*T1^9*T2^6 + 10087*T1^10*T2^6 - 
      844*T1^11*T2^6 - 1635*T1^12*T2^6 + 240*T1^13*T2^6 + 50*T1^14*T2^6 - 
      16*T2^7 - 272*T1*T2^7 + 805*T1^2*T2^7 + 3109*T1^3*T2^7 - 
      9746*T1^4*T2^7 - 1641*T1^5*T2^7 + 2192*T1^6*T2^7 + 974*T1^7*T2^7 + 
      974*T1^8*T2^7 + 2192*T1^9*T2^7 - 1641*T1^10*T2^7 - 9746*T1^11*T2^7 + 
      3109*T1^12*T2^7 + 805*T1^13*T2^7 - 272*T1^14*T2^7 - 16*T1^15*T2^7 + 
      2*T2^8 + 112*T1*T2^8 + 275*T1^2*T2^8 - 3698*T1^3*T2^8 + 
      4483*T1^4*T2^8 + 8162*T1^5*T2^8 - 3668*T1^6*T2^8 + 974*T1^7*T2^8 - 
      3432*T1^8*T2^8 + 974*T1^9*T2^8 - 3668*T1^10*T2^8 + 8162*T1^11*T2^8 + 
      4483*T1^12*T2^8 - 3698*T1^13*T2^8 + 275*T1^14*T2^8 + 112*T1^15*T2^8 + 
      2*T1^16*T2^8 - 16*T1*T2^9 - 272*T1^2*T2^9 + 805*T1^3*T2^9 + 
      3109*T1^4*T2^9 - 9746*T1^5*T2^9 - 1641*T1^6*T2^9 + 2192*T1^7*T2^9 + 
      974*T1^8*T2^9 + 974*T1^9*T2^9 + 2192*T1^10*T2^9 - 1641*T1^11*T2^9 - 
      9746*T1^12*T2^9 + 3109*T1^13*T2^9 + 805*T1^14*T2^9 - 272*T1^15*T2^9 - 
      16*T1^16*T2^9 + 50*T1^2*T2^10 + 240*T1^3*T2^10 - 1635*T1^4*T2^10 - 
      844*T1^5*T2^10 + 10087*T1^6*T2^10 - 1641*T1^7*T2^10 - 3668*T1^8*T2^10 + 
      2192*T1^9*T2^10 - 3668*T1^10*T2^10 - 1641*T1^11*T2^10 + 
      10087*T1^12*T2^10 - 844*T1^13*T2^10 - 1635*T1^14*T2^10 + 
      240*T1^15*T2^10 + 50*T1^16*T2^10 - 80*T1^3*T2^11 - 80*T1^4*T2^11 + 
      1781*T1^5*T2^11 - 844*T1^6*T2^11 - 9746*T1^7*T2^11 + 8162*T1^8*T2^11 - 
      1641*T1^9*T2^11 - 1641*T1^10*T2^11 + 8162*T1^11*T2^11 - 
      9746*T1^12*T2^11 - 844*T1^13*T2^11 + 1781*T1^14*T2^11 - 
      80*T1^15*T2^11 - 80*T1^16*T2^11 + 90*T1^4*T2^12 - 80*T1^5*T2^12 - 
      1635*T1^6*T2^12 + 3109*T1^7*T2^12 + 4483*T1^8*T2^12 - 9746*T1^9*T2^12 + 
      10087*T1^10*T2^12 - 9746*T1^11*T2^12 + 4483*T1^12*T2^12 + 
      3109*T1^13*T2^12 - 1635*T1^14*T2^12 - 80*T1^15*T2^12 + 90*T1^16*T2^12 - 
      80*T1^5*T2^13 + 240*T1^6*T2^13 + 805*T1^7*T2^13 - 3698*T1^8*T2^13 + 
      3109*T1^9*T2^13 - 844*T1^10*T2^13 - 844*T1^11*T2^13 + 
      3109*T1^12*T2^13 - 3698*T1^13*T2^13 + 805*T1^14*T2^13 + 
      240*T1^15*T2^13 - 80*T1^16*T2^13 + 50*T1^6*T2^14 - 272*T1^7*T2^14 + 
      275*T1^8*T2^14 + 805*T1^9*T2^14 - 1635*T1^10*T2^14 + 1781*T1^11*T2^14 - 
      1635*T1^12*T2^14 + 805*T1^13*T2^14 + 275*T1^14*T2^14 - 
      272*T1^15*T2^14 + 50*T1^16*T2^14 - 16*T1^7*T2^15 + 112*T1^8*T2^15 - 
      272*T1^9*T2^15 + 240*T1^10*T2^15 - 80*T1^11*T2^15 - 80*T1^12*T2^15 + 
      240*T1^13*T2^15 - 272*T1^14*T2^15 + 112*T1^15*T2^15 - 16*T1^16*T2^15 + 
      2*T1^8*T2^16 - 16*T1^9*T2^16 + 50*T1^10*T2^16 - 80*T1^11*T2^16 + 
      90*T1^12*T2^16 - 80*T1^13*T2^16 + 50*T1^14*T2^16 - 16*T1^15*T2^16 + 
      2*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 187] -> 
  {(2 - 16*T + 49*T^2 - 69*T^3 + 49*T^4 - 16*T^5 + 2*T^6)/T^3, 
   -((9 - 72*T1 + 220*T1^2 - 309*T1^3 + 220*T1^4 - 72*T1^5 + 9*T1^6 - 72*T2 + 
      504*T1*T2 - 1184*T1^2*T2 + 712*T1^3*T2 + 712*T1^4*T2 - 1184*T1^5*T2 + 
      504*T1^6*T2 - 72*T1^7*T2 + 220*T2^2 - 1184*T1*T2^2 + 982*T1^2*T2^2 + 
      4805*T1^3*T2^2 - 9076*T1^4*T2^2 + 4805*T1^5*T2^2 + 982*T1^6*T2^2 - 
      1184*T1^7*T2^2 + 220*T1^8*T2^2 - 309*T2^3 + 712*T1*T2^3 + 
      4805*T1^2*T2^3 - 18742*T1^3*T2^3 + 12365*T1^4*T2^3 + 12365*T1^5*T2^3 - 
      18742*T1^6*T2^3 + 4805*T1^7*T2^3 + 712*T1^8*T2^3 - 309*T1^9*T2^3 + 
      220*T2^4 + 712*T1*T2^4 - 9076*T1^2*T2^4 + 12365*T1^3*T2^4 + 
      32459*T1^4*T2^4 - 67277*T1^5*T2^4 + 32459*T1^6*T2^4 + 12365*T1^7*T2^4 - 
      9076*T1^8*T2^4 + 712*T1^9*T2^4 + 220*T1^10*T2^4 - 72*T2^5 - 
      1184*T1*T2^5 + 4805*T1^2*T2^5 + 12365*T1^3*T2^5 - 67277*T1^4*T2^5 + 
      46076*T1^5*T2^5 + 46076*T1^6*T2^5 - 67277*T1^7*T2^5 + 12365*T1^8*T2^5 + 
      4805*T1^9*T2^5 - 1184*T1^10*T2^5 - 72*T1^11*T2^5 + 9*T2^6 + 
      504*T1*T2^6 + 982*T1^2*T2^6 - 18742*T1^3*T2^6 + 32459*T1^4*T2^6 + 
      46076*T1^5*T2^6 - 109908*T1^6*T2^6 + 46076*T1^7*T2^6 + 
      32459*T1^8*T2^6 - 18742*T1^9*T2^6 + 982*T1^10*T2^6 + 504*T1^11*T2^6 + 
      9*T1^12*T2^6 - 72*T1*T2^7 - 1184*T1^2*T2^7 + 4805*T1^3*T2^7 + 
      12365*T1^4*T2^7 - 67277*T1^5*T2^7 + 46076*T1^6*T2^7 + 46076*T1^7*T2^7 - 
      67277*T1^8*T2^7 + 12365*T1^9*T2^7 + 4805*T1^10*T2^7 - 1184*T1^11*T2^7 - 
      72*T1^12*T2^7 + 220*T1^2*T2^8 + 712*T1^3*T2^8 - 9076*T1^4*T2^8 + 
      12365*T1^5*T2^8 + 32459*T1^6*T2^8 - 67277*T1^7*T2^8 + 32459*T1^8*T2^8 + 
      12365*T1^9*T2^8 - 9076*T1^10*T2^8 + 712*T1^11*T2^8 + 220*T1^12*T2^8 - 
      309*T1^3*T2^9 + 712*T1^4*T2^9 + 4805*T1^5*T2^9 - 18742*T1^6*T2^9 + 
      12365*T1^7*T2^9 + 12365*T1^8*T2^9 - 18742*T1^9*T2^9 + 4805*T1^10*T2^9 + 
      712*T1^11*T2^9 - 309*T1^12*T2^9 + 220*T1^4*T2^10 - 1184*T1^5*T2^10 + 
      982*T1^6*T2^10 + 4805*T1^7*T2^10 - 9076*T1^8*T2^10 + 4805*T1^9*T2^10 + 
      982*T1^10*T2^10 - 1184*T1^11*T2^10 + 220*T1^12*T2^10 - 72*T1^5*T2^11 + 
      504*T1^6*T2^11 - 1184*T1^7*T2^11 + 712*T1^8*T2^11 + 712*T1^9*T2^11 - 
      1184*T1^10*T2^11 + 504*T1^11*T2^11 - 72*T1^12*T2^11 + 9*T1^6*T2^12 - 
      72*T1^7*T2^12 + 220*T1^8*T2^12 - 309*T1^9*T2^12 + 220*T1^10*T2^12 - 
      72*T1^11*T2^12 + 9*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   (2*T1 - 11*T1^2 + 16*T1^3 - 11*T1^4 + 2*T1^5 + 2*T2 - 24*T1*T2 + 
     79*T1^2*T2 - 44*T1^3*T2 - 44*T1^4*T2 + 79*T1^5*T2 - 24*T1^6*T2 + 
     2*T1^7*T2 - 11*T2^2 + 79*T1*T2^2 - 110*T1^2*T2^2 - 362*T1^3*T2^2 + 
     648*T1^4*T2^2 - 362*T1^5*T2^2 - 110*T1^6*T2^2 + 79*T1^7*T2^2 - 
     11*T1^8*T2^2 + 16*T2^3 - 44*T1*T2^3 - 362*T1^2*T2^3 + 1644*T1^3*T2^3 - 
     955*T1^4*T2^3 - 955*T1^5*T2^3 + 1644*T1^6*T2^3 - 362*T1^7*T2^3 - 
     44*T1^8*T2^3 + 16*T1^9*T2^3 - 11*T2^4 - 44*T1*T2^4 + 648*T1^2*T2^4 - 
     955*T1^3*T2^4 - 3347*T1^4*T2^4 + 5949*T1^5*T2^4 - 3347*T1^6*T2^4 - 
     955*T1^7*T2^4 + 648*T1^8*T2^4 - 44*T1^9*T2^4 - 11*T1^10*T2^4 + 2*T2^5 + 
     79*T1*T2^5 - 362*T1^2*T2^5 - 955*T1^3*T2^5 + 5949*T1^4*T2^5 - 
     3478*T1^5*T2^5 - 3478*T1^6*T2^5 + 5949*T1^7*T2^5 - 955*T1^8*T2^5 - 
     362*T1^9*T2^5 + 79*T1^10*T2^5 + 2*T1^11*T2^5 - 24*T1*T2^6 - 
     110*T1^2*T2^6 + 1644*T1^3*T2^6 - 3347*T1^4*T2^6 - 3478*T1^5*T2^6 + 
     7704*T1^6*T2^6 - 3478*T1^7*T2^6 - 3347*T1^8*T2^6 + 1644*T1^9*T2^6 - 
     110*T1^10*T2^6 - 24*T1^11*T2^6 + 2*T1*T2^7 + 79*T1^2*T2^7 - 
     362*T1^3*T2^7 - 955*T1^4*T2^7 + 5949*T1^5*T2^7 - 3478*T1^6*T2^7 - 
     3478*T1^7*T2^7 + 5949*T1^8*T2^7 - 955*T1^9*T2^7 - 362*T1^10*T2^7 + 
     79*T1^11*T2^7 + 2*T1^12*T2^7 - 11*T1^2*T2^8 - 44*T1^3*T2^8 + 
     648*T1^4*T2^8 - 955*T1^5*T2^8 - 3347*T1^6*T2^8 + 5949*T1^7*T2^8 - 
     3347*T1^8*T2^8 - 955*T1^9*T2^8 + 648*T1^10*T2^8 - 44*T1^11*T2^8 - 
     11*T1^12*T2^8 + 16*T1^3*T2^9 - 44*T1^4*T2^9 - 362*T1^5*T2^9 + 
     1644*T1^6*T2^9 - 955*T1^7*T2^9 - 955*T1^8*T2^9 + 1644*T1^9*T2^9 - 
     362*T1^10*T2^9 - 44*T1^11*T2^9 + 16*T1^12*T2^9 - 11*T1^4*T2^10 + 
     79*T1^5*T2^10 - 110*T1^6*T2^10 - 362*T1^7*T2^10 + 648*T1^8*T2^10 - 
     362*T1^9*T2^10 - 110*T1^10*T2^10 + 79*T1^11*T2^10 - 11*T1^12*T2^10 + 
     2*T1^5*T2^11 - 24*T1^6*T2^11 + 79*T1^7*T2^11 - 44*T1^8*T2^11 - 
     44*T1^9*T2^11 + 79*T1^10*T2^11 - 24*T1^11*T2^11 + 2*T1^12*T2^11 + 
     2*T1^7*T2^12 - 11*T1^8*T2^12 + 16*T1^9*T2^12 - 11*T1^10*T2^12 + 
     2*T1^11*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 189] -> 
  {((1 - 3*T + T^2)^2*(1 - T + T^2)^2)/T^4, 
   (T1 - 5*T1^2 + 6*T1^3 - 5*T1^4 + T1^5 + T2 - 18*T1*T2 + 59*T1^2*T2 - 
     27*T1^3*T2 - 27*T1^4*T2 + 59*T1^5*T2 - 18*T1^6*T2 + T1^7*T2 - 5*T2^2 + 
     59*T1*T2^2 - 74*T1^2*T2^2 - 357*T1^3*T2^2 + 556*T1^4*T2^2 - 
     357*T1^5*T2^2 - 74*T1^6*T2^2 + 59*T1^7*T2^2 - 5*T1^8*T2^2 + 6*T2^3 - 
     27*T1*T2^3 - 357*T1^2*T2^3 + 1520*T1^3*T2^3 - 764*T1^4*T2^3 - 
     764*T1^5*T2^3 + 1520*T1^6*T2^3 - 357*T1^7*T2^3 - 27*T1^8*T2^3 + 
     6*T1^9*T2^3 - 5*T2^4 - 27*T1*T2^4 + 556*T1^2*T2^4 - 764*T1^3*T2^4 - 
     3264*T1^4*T2^4 + 5150*T1^5*T2^4 - 3264*T1^6*T2^4 - 764*T1^7*T2^4 + 
     556*T1^8*T2^4 - 27*T1^9*T2^4 - 5*T1^10*T2^4 + T2^5 + 59*T1*T2^5 - 
     357*T1^2*T2^5 - 764*T1^3*T2^5 + 5150*T1^4*T2^5 - 2532*T1^5*T2^5 - 
     2532*T1^6*T2^5 + 5150*T1^7*T2^5 - 764*T1^8*T2^5 - 357*T1^9*T2^5 + 
     59*T1^10*T2^5 + T1^11*T2^5 - 18*T1*T2^6 - 74*T1^2*T2^6 + 
     1520*T1^3*T2^6 - 3264*T1^4*T2^6 - 2532*T1^5*T2^6 + 5052*T1^6*T2^6 - 
     2532*T1^7*T2^6 - 3264*T1^8*T2^6 + 1520*T1^9*T2^6 - 74*T1^10*T2^6 - 
     18*T1^11*T2^6 + T1*T2^7 + 59*T1^2*T2^7 - 357*T1^3*T2^7 - 764*T1^4*T2^7 + 
     5150*T1^5*T2^7 - 2532*T1^6*T2^7 - 2532*T1^7*T2^7 + 5150*T1^8*T2^7 - 
     764*T1^9*T2^7 - 357*T1^10*T2^7 + 59*T1^11*T2^7 + T1^12*T2^7 - 
     5*T1^2*T2^8 - 27*T1^3*T2^8 + 556*T1^4*T2^8 - 764*T1^5*T2^8 - 
     3264*T1^6*T2^8 + 5150*T1^7*T2^8 - 3264*T1^8*T2^8 - 764*T1^9*T2^8 + 
     556*T1^10*T2^8 - 27*T1^11*T2^8 - 5*T1^12*T2^8 + 6*T1^3*T2^9 - 
     27*T1^4*T2^9 - 357*T1^5*T2^9 + 1520*T1^6*T2^9 - 764*T1^7*T2^9 - 
     764*T1^8*T2^9 + 1520*T1^9*T2^9 - 357*T1^10*T2^9 - 27*T1^11*T2^9 + 
     6*T1^12*T2^9 - 5*T1^4*T2^10 + 59*T1^5*T2^10 - 74*T1^6*T2^10 - 
     357*T1^7*T2^10 + 556*T1^8*T2^10 - 357*T1^9*T2^10 - 74*T1^10*T2^10 + 
     59*T1^11*T2^10 - 5*T1^12*T2^10 + T1^5*T2^11 - 18*T1^6*T2^11 + 
     59*T1^7*T2^11 - 27*T1^8*T2^11 - 27*T1^9*T2^11 + 59*T1^10*T2^11 - 
     18*T1^11*T2^11 + T1^12*T2^11 + T1^7*T2^12 - 5*T1^8*T2^12 + 
     6*T1^9*T2^12 - 5*T1^10*T2^12 + T1^11*T2^12)/(T1^6*T2^6)}, 
 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 + 112*T1*T2 - 288*T1^2*T2 + 320*T1^3*T2 - 
      144*T1^4*T2 - 144*T1^5*T2 + 320*T1^6*T2 - 288*T1^7*T2 + 112*T1^8*T2 - 
      16*T1^9*T2 + 52*T2^2 - 288*T1*T2^2 + 380*T1^2*T2^2 + 520*T1^3*T2^2 - 
      1682*T1^4*T2^2 + 2266*T1^5*T2^2 - 1682*T1^6*T2^2 + 520*T1^7*T2^2 + 
      380*T1^8*T2^2 - 288*T1^9*T2^2 + 52*T1^10*T2^2 - 92*T2^3 + 320*T1*T2^3 + 
      520*T1^2*T2^3 - 3350*T1^3*T2^3 + 4049*T1^4*T2^3 - 1938*T1^5*T2^3 - 
      1938*T1^6*T2^3 + 4049*T1^7*T2^3 - 3350*T1^8*T2^3 + 520*T1^9*T2^3 + 
      320*T1^10*T2^3 - 92*T1^11*T2^3 + 110*T2^4 - 144*T1*T2^4 - 
      1682*T1^2*T2^4 + 4049*T1^3*T2^4 + 1360*T1^4*T2^4 - 8644*T1^5*T2^4 + 
      12722*T1^6*T2^4 - 8644*T1^7*T2^4 + 1360*T1^8*T2^4 + 4049*T1^9*T2^4 - 
      1682*T1^10*T2^4 - 144*T1^11*T2^4 + 110*T1^12*T2^4 - 92*T2^5 - 
      144*T1*T2^5 + 2266*T1^2*T2^5 - 1938*T1^3*T2^5 - 8644*T1^4*T2^5 + 
      12030*T1^5*T2^5 - 6433*T1^6*T2^5 - 6433*T1^7*T2^5 + 12030*T1^8*T2^5 - 
      8644*T1^9*T2^5 - 1938*T1^10*T2^5 + 2266*T1^11*T2^5 - 144*T1^12*T2^5 - 
      92*T1^13*T2^5 + 52*T2^6 + 320*T1*T2^6 - 1682*T1^2*T2^6 - 
      1938*T1^3*T2^6 + 12722*T1^4*T2^6 - 6433*T1^5*T2^6 - 4837*T1^6*T2^6 + 
      13191*T1^7*T2^6 - 4837*T1^8*T2^6 - 6433*T1^9*T2^6 + 12722*T1^10*T2^6 - 
      1938*T1^11*T2^6 - 1682*T1^12*T2^6 + 320*T1^13*T2^6 + 52*T1^14*T2^6 - 
      16*T2^7 - 288*T1*T2^7 + 520*T1^2*T2^7 + 4049*T1^3*T2^7 - 
      8644*T1^4*T2^7 - 6433*T1^5*T2^7 + 13191*T1^6*T2^7 - 8682*T1^7*T2^7 - 
      8682*T1^8*T2^7 + 13191*T1^9*T2^7 - 6433*T1^10*T2^7 - 8644*T1^11*T2^7 + 
      4049*T1^12*T2^7 + 520*T1^13*T2^7 - 288*T1^14*T2^7 - 16*T1^15*T2^7 + 
      2*T2^8 + 112*T1*T2^8 + 380*T1^2*T2^8 - 3350*T1^3*T2^8 + 
      1360*T1^4*T2^8 + 12030*T1^5*T2^8 - 4837*T1^6*T2^8 - 8682*T1^7*T2^8 + 
      19728*T1^8*T2^8 - 8682*T1^9*T2^8 - 4837*T1^10*T2^8 + 12030*T1^11*T2^8 + 
      1360*T1^12*T2^8 - 3350*T1^13*T2^8 + 380*T1^14*T2^8 + 112*T1^15*T2^8 + 
      2*T1^16*T2^8 - 16*T1*T2^9 - 288*T1^2*T2^9 + 520*T1^3*T2^9 + 
      4049*T1^4*T2^9 - 8644*T1^5*T2^9 - 6433*T1^6*T2^9 + 13191*T1^7*T2^9 - 
      8682*T1^8*T2^9 - 8682*T1^9*T2^9 + 13191*T1^10*T2^9 - 6433*T1^11*T2^9 - 
      8644*T1^12*T2^9 + 4049*T1^13*T2^9 + 520*T1^14*T2^9 - 288*T1^15*T2^9 - 
      16*T1^16*T2^9 + 52*T1^2*T2^10 + 320*T1^3*T2^10 - 1682*T1^4*T2^10 - 
      1938*T1^5*T2^10 + 12722*T1^6*T2^10 - 6433*T1^7*T2^10 - 
      4837*T1^8*T2^10 + 13191*T1^9*T2^10 - 4837*T1^10*T2^10 - 
      6433*T1^11*T2^10 + 12722*T1^12*T2^10 - 1938*T1^13*T2^10 - 
      1682*T1^14*T2^10 + 320*T1^15*T2^10 + 52*T1^16*T2^10 - 92*T1^3*T2^11 - 
      144*T1^4*T2^11 + 2266*T1^5*T2^11 - 1938*T1^6*T2^11 - 8644*T1^7*T2^11 + 
      12030*T1^8*T2^11 - 6433*T1^9*T2^11 - 6433*T1^10*T2^11 + 
      12030*T1^11*T2^11 - 8644*T1^12*T2^11 - 1938*T1^13*T2^11 + 
      2266*T1^14*T2^11 - 144*T1^15*T2^11 - 92*T1^16*T2^11 + 110*T1^4*T2^12 - 
      144*T1^5*T2^12 - 1682*T1^6*T2^12 + 4049*T1^7*T2^12 + 1360*T1^8*T2^12 - 
      8644*T1^9*T2^12 + 12722*T1^10*T2^12 - 8644*T1^11*T2^12 + 
      1360*T1^12*T2^12 + 4049*T1^13*T2^12 - 1682*T1^14*T2^12 - 
      144*T1^15*T2^12 + 110*T1^16*T2^12 - 92*T1^5*T2^13 + 320*T1^6*T2^13 + 
      520*T1^7*T2^13 - 3350*T1^8*T2^13 + 4049*T1^9*T2^13 - 1938*T1^10*T2^13 - 
      1938*T1^11*T2^13 + 4049*T1^12*T2^13 - 3350*T1^13*T2^13 + 
      520*T1^14*T2^13 + 320*T1^15*T2^13 - 92*T1^16*T2^13 + 52*T1^6*T2^14 - 
      288*T1^7*T2^14 + 380*T1^8*T2^14 + 520*T1^9*T2^14 - 1682*T1^10*T2^14 + 
      2266*T1^11*T2^14 - 1682*T1^12*T2^14 + 520*T1^13*T2^14 + 
      380*T1^14*T2^14 - 288*T1^15*T2^14 + 52*T1^16*T2^14 - 16*T1^7*T2^15 + 
      112*T1^8*T2^15 - 288*T1^9*T2^15 + 320*T1^10*T2^15 - 144*T1^11*T2^15 - 
      144*T1^12*T2^15 + 320*T1^13*T2^15 - 288*T1^14*T2^15 + 112*T1^15*T2^15 - 
      16*T1^16*T2^15 + 2*T1^8*T2^16 - 16*T1^9*T2^16 + 52*T1^10*T2^16 - 
      92*T1^11*T2^16 + 110*T1^12*T2^16 - 92*T1^13*T2^16 + 52*T1^14*T2^16 - 
      16*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 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), (1 - 8*T1 + 28*T1^2 - 58*T1^3 + 73*T1^4 - 58*T1^5 + 28*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 160*T1^2*T2 + 240*T1^3*T2 - 
     120*T1^4*T2 - 120*T1^5*T2 + 240*T1^6*T2 - 160*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 28*T2^2 - 160*T1*T2^2 + 300*T1^2*T2^2 - 55*T1^3*T2^2 - 
     889*T1^4*T2^2 + 1432*T1^5*T2^2 - 889*T1^6*T2^2 - 55*T1^7*T2^2 + 
     300*T1^8*T2^2 - 160*T1^9*T2^2 + 28*T1^10*T2^2 - 58*T2^3 + 240*T1*T2^3 - 
     55*T1^2*T2^3 - 1182*T1^3*T2^3 + 2979*T1^4*T2^3 - 1641*T1^5*T2^3 - 
     1641*T1^6*T2^3 + 2979*T1^7*T2^3 - 1182*T1^8*T2^3 - 55*T1^9*T2^3 + 
     240*T1^10*T2^3 - 58*T1^11*T2^3 + 73*T2^4 - 120*T1*T2^4 - 889*T1^2*T2^4 + 
     2979*T1^3*T2^4 - 3335*T1^4*T2^4 - 3465*T1^5*T2^4 + 7643*T1^6*T2^4 - 
     3465*T1^7*T2^4 - 3335*T1^8*T2^4 + 2979*T1^9*T2^4 - 889*T1^10*T2^4 - 
     120*T1^11*T2^4 + 73*T1^12*T2^4 - 58*T2^5 - 120*T1*T2^5 + 
     1432*T1^2*T2^5 - 1641*T1^3*T2^5 - 3465*T1^4*T2^5 + 14388*T1^5*T2^5 - 
     8253*T1^6*T2^5 - 8253*T1^7*T2^5 + 14388*T1^8*T2^5 - 3465*T1^9*T2^5 - 
     1641*T1^10*T2^5 + 1432*T1^11*T2^5 - 120*T1^12*T2^5 - 58*T1^13*T2^5 + 
     28*T2^6 + 240*T1*T2^6 - 889*T1^2*T2^6 - 1641*T1^3*T2^6 + 
     7643*T1^4*T2^6 - 8253*T1^5*T2^6 - 18915*T1^6*T2^6 + 35093*T1^7*T2^6 - 
     18915*T1^8*T2^6 - 8253*T1^9*T2^6 + 7643*T1^10*T2^6 - 1641*T1^11*T2^6 - 
     889*T1^12*T2^6 + 240*T1^13*T2^6 + 28*T1^14*T2^6 - 8*T2^7 - 160*T1*T2^7 - 
     55*T1^2*T2^7 + 2979*T1^3*T2^7 - 3465*T1^4*T2^7 - 8253*T1^5*T2^7 + 
     35093*T1^6*T2^7 - 20026*T1^7*T2^7 - 20026*T1^8*T2^7 + 35093*T1^9*T2^7 - 
     8253*T1^10*T2^7 - 3465*T1^11*T2^7 + 2979*T1^12*T2^7 - 55*T1^13*T2^7 - 
     160*T1^14*T2^7 - 8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 300*T1^2*T2^8 - 
     1182*T1^3*T2^8 - 3335*T1^4*T2^8 + 14388*T1^5*T2^8 - 18915*T1^6*T2^8 - 
     20026*T1^7*T2^8 + 43656*T1^8*T2^8 - 20026*T1^9*T2^8 - 18915*T1^10*T2^8 + 
     14388*T1^11*T2^8 - 3335*T1^12*T2^8 - 1182*T1^13*T2^8 + 300*T1^14*T2^8 + 
     56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 160*T1^2*T2^9 - 55*T1^3*T2^9 + 
     2979*T1^4*T2^9 - 3465*T1^5*T2^9 - 8253*T1^6*T2^9 + 35093*T1^7*T2^9 - 
     20026*T1^8*T2^9 - 20026*T1^9*T2^9 + 35093*T1^10*T2^9 - 8253*T1^11*T2^9 - 
     3465*T1^12*T2^9 + 2979*T1^13*T2^9 - 55*T1^14*T2^9 - 160*T1^15*T2^9 - 
     8*T1^16*T2^9 + 28*T1^2*T2^10 + 240*T1^3*T2^10 - 889*T1^4*T2^10 - 
     1641*T1^5*T2^10 + 7643*T1^6*T2^10 - 8253*T1^7*T2^10 - 18915*T1^8*T2^10 + 
     35093*T1^9*T2^10 - 18915*T1^10*T2^10 - 8253*T1^11*T2^10 + 
     7643*T1^12*T2^10 - 1641*T1^13*T2^10 - 889*T1^14*T2^10 + 
     240*T1^15*T2^10 + 28*T1^16*T2^10 - 58*T1^3*T2^11 - 120*T1^4*T2^11 + 
     1432*T1^5*T2^11 - 1641*T1^6*T2^11 - 3465*T1^7*T2^11 + 14388*T1^8*T2^11 - 
     8253*T1^9*T2^11 - 8253*T1^10*T2^11 + 14388*T1^11*T2^11 - 
     3465*T1^12*T2^11 - 1641*T1^13*T2^11 + 1432*T1^14*T2^11 - 
     120*T1^15*T2^11 - 58*T1^16*T2^11 + 73*T1^4*T2^12 - 120*T1^5*T2^12 - 
     889*T1^6*T2^12 + 2979*T1^7*T2^12 - 3335*T1^8*T2^12 - 3465*T1^9*T2^12 + 
     7643*T1^10*T2^12 - 3465*T1^11*T2^12 - 3335*T1^12*T2^12 + 
     2979*T1^13*T2^12 - 889*T1^14*T2^12 - 120*T1^15*T2^12 + 73*T1^16*T2^12 - 
     58*T1^5*T2^13 + 240*T1^6*T2^13 - 55*T1^7*T2^13 - 1182*T1^8*T2^13 + 
     2979*T1^9*T2^13 - 1641*T1^10*T2^13 - 1641*T1^11*T2^13 + 
     2979*T1^12*T2^13 - 1182*T1^13*T2^13 - 55*T1^14*T2^13 + 240*T1^15*T2^13 - 
     58*T1^16*T2^13 + 28*T1^6*T2^14 - 160*T1^7*T2^14 + 300*T1^8*T2^14 - 
     55*T1^9*T2^14 - 889*T1^10*T2^14 + 1432*T1^11*T2^14 - 889*T1^12*T2^14 - 
     55*T1^13*T2^14 + 300*T1^14*T2^14 - 160*T1^15*T2^14 + 28*T1^16*T2^14 - 
     8*T1^7*T2^15 + 56*T1^8*T2^15 - 160*T1^9*T2^15 + 240*T1^10*T2^15 - 
     120*T1^11*T2^15 - 120*T1^12*T2^15 + 240*T1^13*T2^15 - 160*T1^14*T2^15 + 
     56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 8*T1^9*T2^16 + 
     28*T1^10*T2^16 - 58*T1^11*T2^16 + 73*T1^12*T2^16 - 58*T1^13*T2^16 + 
     28*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 192] -> 
  {(2 - 15*T + 43*T^2 - 59*T^3 + 43*T^4 - 15*T^5 + 2*T^6)/T^3, 
   -((9 - 68*T1 + 196*T1^2 - 269*T1^3 + 196*T1^4 - 68*T1^5 + 9*T1^6 - 68*T2 + 
      446*T1*T2 - 968*T1^2*T2 + 552*T1^3*T2 + 552*T1^4*T2 - 968*T1^5*T2 + 
      446*T1^6*T2 - 68*T1^7*T2 + 196*T2^2 - 968*T1*T2^2 + 584*T1^2*T2^2 + 
      3851*T1^3*T2^2 - 6818*T1^4*T2^2 + 3851*T1^5*T2^2 + 584*T1^6*T2^2 - 
      968*T1^7*T2^2 + 196*T1^8*T2^2 - 269*T2^3 + 552*T1*T2^3 + 
      3851*T1^2*T2^3 - 13260*T1^3*T2^3 + 8151*T1^4*T2^3 + 8151*T1^5*T2^3 - 
      13260*T1^6*T2^3 + 3851*T1^7*T2^3 + 552*T1^8*T2^3 - 269*T1^9*T2^3 + 
      196*T2^4 + 552*T1*T2^4 - 6818*T1^2*T2^4 + 8151*T1^3*T2^4 + 
      21105*T1^4*T2^4 - 41585*T1^5*T2^4 + 21105*T1^6*T2^4 + 8151*T1^7*T2^4 - 
      6818*T1^8*T2^4 + 552*T1^9*T2^4 + 196*T1^10*T2^4 - 68*T2^5 - 
      968*T1*T2^5 + 3851*T1^2*T2^5 + 8151*T1^3*T2^5 - 41585*T1^4*T2^5 + 
      26620*T1^5*T2^5 + 26620*T1^6*T2^5 - 41585*T1^7*T2^5 + 8151*T1^8*T2^5 + 
      3851*T1^9*T2^5 - 968*T1^10*T2^5 - 68*T1^11*T2^5 + 9*T2^6 + 
      446*T1*T2^6 + 584*T1^2*T2^6 - 13260*T1^3*T2^6 + 21105*T1^4*T2^6 + 
      26620*T1^5*T2^6 - 61560*T1^6*T2^6 + 26620*T1^7*T2^6 + 21105*T1^8*T2^6 - 
      13260*T1^9*T2^6 + 584*T1^10*T2^6 + 446*T1^11*T2^6 + 9*T1^12*T2^6 - 
      68*T1*T2^7 - 968*T1^2*T2^7 + 3851*T1^3*T2^7 + 8151*T1^4*T2^7 - 
      41585*T1^5*T2^7 + 26620*T1^6*T2^7 + 26620*T1^7*T2^7 - 41585*T1^8*T2^7 + 
      8151*T1^9*T2^7 + 3851*T1^10*T2^7 - 968*T1^11*T2^7 - 68*T1^12*T2^7 + 
      196*T1^2*T2^8 + 552*T1^3*T2^8 - 6818*T1^4*T2^8 + 8151*T1^5*T2^8 + 
      21105*T1^6*T2^8 - 41585*T1^7*T2^8 + 21105*T1^8*T2^8 + 8151*T1^9*T2^8 - 
      6818*T1^10*T2^8 + 552*T1^11*T2^8 + 196*T1^12*T2^8 - 269*T1^3*T2^9 + 
      552*T1^4*T2^9 + 3851*T1^5*T2^9 - 13260*T1^6*T2^9 + 8151*T1^7*T2^9 + 
      8151*T1^8*T2^9 - 13260*T1^9*T2^9 + 3851*T1^10*T2^9 + 552*T1^11*T2^9 - 
      269*T1^12*T2^9 + 196*T1^4*T2^10 - 968*T1^5*T2^10 + 584*T1^6*T2^10 + 
      3851*T1^7*T2^10 - 6818*T1^8*T2^10 + 3851*T1^9*T2^10 + 584*T1^10*T2^10 - 
      968*T1^11*T2^10 + 196*T1^12*T2^10 - 68*T1^5*T2^11 + 446*T1^6*T2^11 - 
      968*T1^7*T2^11 + 552*T1^8*T2^11 + 552*T1^9*T2^11 - 968*T1^10*T2^11 + 
      446*T1^11*T2^11 - 68*T1^12*T2^11 + 9*T1^6*T2^12 - 68*T1^7*T2^12 + 
      196*T1^8*T2^12 - 269*T1^9*T2^12 + 196*T1^10*T2^12 - 68*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, 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 + 84*T1*T2 - 126*T1^2*T2 + 42*T1^3*T2 + 42*T1^6*T2 - 
      126*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 32*T2^2 - 126*T1*T2^2 - 
      137*T1^2*T2^2 + 723*T1^3*T2^2 - 731*T1^4*T2^2 + 637*T1^5*T2^2 - 
      731*T1^6*T2^2 + 723*T1^7*T2^2 - 137*T1^8*T2^2 - 126*T1^9*T2^2 + 
      32*T1^10*T2^2 - 38*T2^3 + 42*T1*T2^3 + 723*T1^2*T2^3 - 1328*T1^3*T2^3 + 
      259*T1^4*T2^3 + 95*T1^5*T2^3 + 95*T1^6*T2^3 + 259*T1^7*T2^3 - 
      1328*T1^8*T2^3 + 723*T1^9*T2^3 + 42*T1^10*T2^3 - 38*T1^11*T2^3 + 
      38*T2^4 - 731*T1^2*T2^4 + 259*T1^3*T2^4 + 2018*T1^4*T2^4 - 
      1676*T1^5*T2^4 + 1168*T1^6*T2^4 - 1676*T1^7*T2^4 + 2018*T1^8*T2^4 + 
      259*T1^9*T2^4 - 731*T1^10*T2^4 + 38*T1^12*T2^4 - 38*T2^5 + 
      637*T1^2*T2^5 + 95*T1^3*T2^5 - 1676*T1^4*T2^5 - 52*T1^5*T2^5 + 
      314*T1^6*T2^5 + 314*T1^7*T2^5 - 52*T1^8*T2^5 - 1676*T1^9*T2^5 + 
      95*T1^10*T2^5 + 637*T1^11*T2^5 - 38*T1^13*T2^5 + 32*T2^6 + 42*T1*T2^6 - 
      731*T1^2*T2^6 + 95*T1^3*T2^6 + 1168*T1^4*T2^6 + 314*T1^5*T2^6 + 
      368*T1^6*T2^6 - 834*T1^7*T2^6 + 368*T1^8*T2^6 + 314*T1^9*T2^6 + 
      1168*T1^10*T2^6 + 95*T1^11*T2^6 - 731*T1^12*T2^6 + 42*T1^13*T2^6 + 
      32*T1^14*T2^6 - 14*T2^7 - 126*T1*T2^7 + 723*T1^2*T2^7 + 259*T1^3*T2^7 - 
      1676*T1^4*T2^7 + 314*T1^5*T2^7 - 834*T1^6*T2^7 + 410*T1^7*T2^7 + 
      410*T1^8*T2^7 - 834*T1^9*T2^7 + 314*T1^10*T2^7 - 1676*T1^11*T2^7 + 
      259*T1^12*T2^7 + 723*T1^13*T2^7 - 126*T1^14*T2^7 - 14*T1^15*T2^7 + 
      2*T2^8 + 84*T1*T2^8 - 137*T1^2*T2^8 - 1328*T1^3*T2^8 + 2018*T1^4*T2^8 - 
      52*T1^5*T2^8 + 368*T1^6*T2^8 + 410*T1^7*T2^8 - 804*T1^8*T2^8 + 
      410*T1^9*T2^8 + 368*T1^10*T2^8 - 52*T1^11*T2^8 + 2018*T1^12*T2^8 - 
      1328*T1^13*T2^8 - 137*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 
      14*T1*T2^9 - 126*T1^2*T2^9 + 723*T1^3*T2^9 + 259*T1^4*T2^9 - 
      1676*T1^5*T2^9 + 314*T1^6*T2^9 - 834*T1^7*T2^9 + 410*T1^8*T2^9 + 
      410*T1^9*T2^9 - 834*T1^10*T2^9 + 314*T1^11*T2^9 - 1676*T1^12*T2^9 + 
      259*T1^13*T2^9 + 723*T1^14*T2^9 - 126*T1^15*T2^9 - 14*T1^16*T2^9 + 
      32*T1^2*T2^10 + 42*T1^3*T2^10 - 731*T1^4*T2^10 + 95*T1^5*T2^10 + 
      1168*T1^6*T2^10 + 314*T1^7*T2^10 + 368*T1^8*T2^10 - 834*T1^9*T2^10 + 
      368*T1^10*T2^10 + 314*T1^11*T2^10 + 1168*T1^12*T2^10 + 95*T1^13*T2^10 - 
      731*T1^14*T2^10 + 42*T1^15*T2^10 + 32*T1^16*T2^10 - 38*T1^3*T2^11 + 
      637*T1^5*T2^11 + 95*T1^6*T2^11 - 1676*T1^7*T2^11 - 52*T1^8*T2^11 + 
      314*T1^9*T2^11 + 314*T1^10*T2^11 - 52*T1^11*T2^11 - 1676*T1^12*T2^11 + 
      95*T1^13*T2^11 + 637*T1^14*T2^11 - 38*T1^16*T2^11 + 38*T1^4*T2^12 - 
      731*T1^6*T2^12 + 259*T1^7*T2^12 + 2018*T1^8*T2^12 - 1676*T1^9*T2^12 + 
      1168*T1^10*T2^12 - 1676*T1^11*T2^12 + 2018*T1^12*T2^12 + 
      259*T1^13*T2^12 - 731*T1^14*T2^12 + 38*T1^16*T2^12 - 38*T1^5*T2^13 + 
      42*T1^6*T2^13 + 723*T1^7*T2^13 - 1328*T1^8*T2^13 + 259*T1^9*T2^13 + 
      95*T1^10*T2^13 + 95*T1^11*T2^13 + 259*T1^12*T2^13 - 1328*T1^13*T2^13 + 
      723*T1^14*T2^13 + 42*T1^15*T2^13 - 38*T1^16*T2^13 + 32*T1^6*T2^14 - 
      126*T1^7*T2^14 - 137*T1^8*T2^14 + 723*T1^9*T2^14 - 731*T1^10*T2^14 + 
      637*T1^11*T2^14 - 731*T1^12*T2^14 + 723*T1^13*T2^14 - 137*T1^14*T2^14 - 
      126*T1^15*T2^14 + 32*T1^16*T2^14 - 14*T1^7*T2^15 + 84*T1^8*T2^15 - 
      126*T1^9*T2^15 + 42*T1^10*T2^15 + 42*T1^13*T2^15 - 126*T1^14*T2^15 + 
      84*T1^15*T2^15 - 14*T1^16*T2^15 + 2*T1^8*T2^16 - 14*T1^9*T2^16 + 
      32*T1^10*T2^16 - 38*T1^11*T2^16 + 38*T1^12*T2^16 - 38*T1^13*T2^16 + 
      32*T1^14*T2^16 - 14*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 194] -> 
  {(2 - 15*T + 39*T^2 - 51*T^3 + 39*T^4 - 15*T^5 + 2*T^6)/T^3, 
   -((9 - 67*T1 + 172*T1^2 - 223*T1^3 + 172*T1^4 - 67*T1^5 + 9*T1^6 - 67*T2 + 
      432*T1*T2 - 783*T1^2*T2 + 381*T1^3*T2 + 381*T1^4*T2 - 783*T1^5*T2 + 
      432*T1^6*T2 - 67*T1^7*T2 + 172*T2^2 - 783*T1*T2^2 - 208*T1^2*T2^2 + 
      3863*T1^3*T2^2 - 5638*T1^4*T2^2 + 3863*T1^5*T2^2 - 208*T1^6*T2^2 - 
      783*T1^7*T2^2 + 172*T1^8*T2^2 - 223*T2^3 + 381*T1*T2^3 + 
      3863*T1^2*T2^3 - 9452*T1^3*T2^3 + 4673*T1^4*T2^3 + 4673*T1^5*T2^3 - 
      9452*T1^6*T2^3 + 3863*T1^7*T2^3 + 381*T1^8*T2^3 - 223*T1^9*T2^3 + 
      172*T2^4 + 381*T1*T2^4 - 5638*T1^2*T2^4 + 4673*T1^3*T2^4 + 
      12737*T1^4*T2^4 - 21391*T1^5*T2^4 + 12737*T1^6*T2^4 + 4673*T1^7*T2^4 - 
      5638*T1^8*T2^4 + 381*T1^9*T2^4 + 172*T1^10*T2^4 - 67*T2^5 - 
      783*T1*T2^5 + 3863*T1^2*T2^5 + 4673*T1^3*T2^5 - 21391*T1^4*T2^5 + 
      11240*T1^5*T2^5 + 11240*T1^6*T2^5 - 21391*T1^7*T2^5 + 4673*T1^8*T2^5 + 
      3863*T1^9*T2^5 - 783*T1^10*T2^5 - 67*T1^11*T2^5 + 9*T2^6 + 
      432*T1*T2^6 - 208*T1^2*T2^6 - 9452*T1^3*T2^6 + 12737*T1^4*T2^6 + 
      11240*T1^5*T2^6 - 23904*T1^6*T2^6 + 11240*T1^7*T2^6 + 12737*T1^8*T2^6 - 
      9452*T1^9*T2^6 - 208*T1^10*T2^6 + 432*T1^11*T2^6 + 9*T1^12*T2^6 - 
      67*T1*T2^7 - 783*T1^2*T2^7 + 3863*T1^3*T2^7 + 4673*T1^4*T2^7 - 
      21391*T1^5*T2^7 + 11240*T1^6*T2^7 + 11240*T1^7*T2^7 - 21391*T1^8*T2^7 + 
      4673*T1^9*T2^7 + 3863*T1^10*T2^7 - 783*T1^11*T2^7 - 67*T1^12*T2^7 + 
      172*T1^2*T2^8 + 381*T1^3*T2^8 - 5638*T1^4*T2^8 + 4673*T1^5*T2^8 + 
      12737*T1^6*T2^8 - 21391*T1^7*T2^8 + 12737*T1^8*T2^8 + 4673*T1^9*T2^8 - 
      5638*T1^10*T2^8 + 381*T1^11*T2^8 + 172*T1^12*T2^8 - 223*T1^3*T2^9 + 
      381*T1^4*T2^9 + 3863*T1^5*T2^9 - 9452*T1^6*T2^9 + 4673*T1^7*T2^9 + 
      4673*T1^8*T2^9 - 9452*T1^9*T2^9 + 3863*T1^10*T2^9 + 381*T1^11*T2^9 - 
      223*T1^12*T2^9 + 172*T1^4*T2^10 - 783*T1^5*T2^10 - 208*T1^6*T2^10 + 
      3863*T1^7*T2^10 - 5638*T1^8*T2^10 + 3863*T1^9*T2^10 - 208*T1^10*T2^10 - 
      783*T1^11*T2^10 + 172*T1^12*T2^10 - 67*T1^5*T2^11 + 432*T1^6*T2^11 - 
      783*T1^7*T2^11 + 381*T1^8*T2^11 + 381*T1^9*T2^11 - 783*T1^10*T2^11 + 
      432*T1^11*T2^11 - 67*T1^12*T2^11 + 9*T1^6*T2^12 - 67*T1^7*T2^12 + 
      172*T1^8*T2^12 - 223*T1^9*T2^12 + 172*T1^10*T2^12 - 67*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, 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 + 84*T1*T2 - 154*T1^2*T2 + 140*T1^3*T2 - 70*T1^4*T2 - 
      70*T1^5*T2 + 140*T1^6*T2 - 154*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
      36*T2^2 - 154*T1*T2^2 + 3*T1^2*T2^2 + 491*T1^3*T2^2 - 888*T1^4*T2^2 + 
      1189*T1^5*T2^2 - 888*T1^6*T2^2 + 491*T1^7*T2^2 + 3*T1^8*T2^2 - 
      154*T1^9*T2^2 + 36*T1^10*T2^2 - 56*T2^3 + 140*T1*T2^3 + 491*T1^2*T2^3 - 
      1270*T1^3*T2^3 + 1105*T1^4*T2^3 - 691*T1^5*T2^3 - 691*T1^6*T2^3 + 
      1105*T1^7*T2^3 - 1270*T1^8*T2^3 + 491*T1^9*T2^3 + 140*T1^10*T2^3 - 
      56*T1^11*T2^3 + 66*T2^4 - 70*T1*T2^4 - 888*T1^2*T2^4 + 1105*T1^3*T2^4 + 
      308*T1^4*T2^4 - 1054*T1^5*T2^4 + 2368*T1^6*T2^4 - 1054*T1^7*T2^4 + 
      308*T1^8*T2^4 + 1105*T1^9*T2^4 - 888*T1^10*T2^4 - 70*T1^11*T2^4 + 
      66*T1^12*T2^4 - 56*T2^5 - 70*T1*T2^5 + 1189*T1^2*T2^5 - 691*T1^3*T2^5 - 
      1054*T1^4*T2^5 + 752*T1^5*T2^5 - 1215*T1^6*T2^5 - 1215*T1^7*T2^5 + 
      752*T1^8*T2^5 - 1054*T1^9*T2^5 - 691*T1^10*T2^5 + 1189*T1^11*T2^5 - 
      70*T1^12*T2^5 - 56*T1^13*T2^5 + 36*T2^6 + 140*T1*T2^6 - 888*T1^2*T2^6 - 
      691*T1^3*T2^6 + 2368*T1^4*T2^6 - 1215*T1^5*T2^6 + 1684*T1^6*T2^6 + 
      408*T1^7*T2^6 + 1684*T1^8*T2^6 - 1215*T1^9*T2^6 + 2368*T1^10*T2^6 - 
      691*T1^11*T2^6 - 888*T1^12*T2^6 + 140*T1^13*T2^6 + 36*T1^14*T2^6 - 
      14*T2^7 - 154*T1*T2^7 + 491*T1^2*T2^7 + 1105*T1^3*T2^7 - 
      1054*T1^4*T2^7 - 1215*T1^5*T2^7 + 408*T1^6*T2^7 - 1558*T1^7*T2^7 - 
      1558*T1^8*T2^7 + 408*T1^9*T2^7 - 1215*T1^10*T2^7 - 1054*T1^11*T2^7 + 
      1105*T1^12*T2^7 + 491*T1^13*T2^7 - 154*T1^14*T2^7 - 14*T1^15*T2^7 + 
      2*T2^8 + 84*T1*T2^8 + 3*T1^2*T2^8 - 1270*T1^3*T2^8 + 308*T1^4*T2^8 + 
      752*T1^5*T2^8 + 1684*T1^6*T2^8 - 1558*T1^7*T2^8 + 4224*T1^8*T2^8 - 
      1558*T1^9*T2^8 + 1684*T1^10*T2^8 + 752*T1^11*T2^8 + 308*T1^12*T2^8 - 
      1270*T1^13*T2^8 + 3*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 
      14*T1*T2^9 - 154*T1^2*T2^9 + 491*T1^3*T2^9 + 1105*T1^4*T2^9 - 
      1054*T1^5*T2^9 - 1215*T1^6*T2^9 + 408*T1^7*T2^9 - 1558*T1^8*T2^9 - 
      1558*T1^9*T2^9 + 408*T1^10*T2^9 - 1215*T1^11*T2^9 - 1054*T1^12*T2^9 + 
      1105*T1^13*T2^9 + 491*T1^14*T2^9 - 154*T1^15*T2^9 - 14*T1^16*T2^9 + 
      36*T1^2*T2^10 + 140*T1^3*T2^10 - 888*T1^4*T2^10 - 691*T1^5*T2^10 + 
      2368*T1^6*T2^10 - 1215*T1^7*T2^10 + 1684*T1^8*T2^10 + 408*T1^9*T2^10 + 
      1684*T1^10*T2^10 - 1215*T1^11*T2^10 + 2368*T1^12*T2^10 - 
      691*T1^13*T2^10 - 888*T1^14*T2^10 + 140*T1^15*T2^10 + 36*T1^16*T2^10 - 
      56*T1^3*T2^11 - 70*T1^4*T2^11 + 1189*T1^5*T2^11 - 691*T1^6*T2^11 - 
      1054*T1^7*T2^11 + 752*T1^8*T2^11 - 1215*T1^9*T2^11 - 1215*T1^10*T2^11 + 
      752*T1^11*T2^11 - 1054*T1^12*T2^11 - 691*T1^13*T2^11 + 
      1189*T1^14*T2^11 - 70*T1^15*T2^11 - 56*T1^16*T2^11 + 66*T1^4*T2^12 - 
      70*T1^5*T2^12 - 888*T1^6*T2^12 + 1105*T1^7*T2^12 + 308*T1^8*T2^12 - 
      1054*T1^9*T2^12 + 2368*T1^10*T2^12 - 1054*T1^11*T2^12 + 
      308*T1^12*T2^12 + 1105*T1^13*T2^12 - 888*T1^14*T2^12 - 70*T1^15*T2^12 + 
      66*T1^16*T2^12 - 56*T1^5*T2^13 + 140*T1^6*T2^13 + 491*T1^7*T2^13 - 
      1270*T1^8*T2^13 + 1105*T1^9*T2^13 - 691*T1^10*T2^13 - 691*T1^11*T2^13 + 
      1105*T1^12*T2^13 - 1270*T1^13*T2^13 + 491*T1^14*T2^13 + 
      140*T1^15*T2^13 - 56*T1^16*T2^13 + 36*T1^6*T2^14 - 154*T1^7*T2^14 + 
      3*T1^8*T2^14 + 491*T1^9*T2^14 - 888*T1^10*T2^14 + 1189*T1^11*T2^14 - 
      888*T1^12*T2^14 + 491*T1^13*T2^14 + 3*T1^14*T2^14 - 154*T1^15*T2^14 + 
      36*T1^16*T2^14 - 14*T1^7*T2^15 + 84*T1^8*T2^15 - 154*T1^9*T2^15 + 
      140*T1^10*T2^15 - 70*T1^11*T2^15 - 70*T1^12*T2^15 + 140*T1^13*T2^15 - 
      154*T1^14*T2^15 + 84*T1^15*T2^15 - 14*T1^16*T2^15 + 2*T1^8*T2^16 - 
      14*T1^9*T2^16 + 36*T1^10*T2^16 - 56*T1^11*T2^16 + 66*T1^12*T2^16 - 
      56*T1^13*T2^16 + 36*T1^14*T2^16 - 14*T1^15*T2^16 + 2*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 196] -> 
  {(2 - 13*T + 30*T^2 - 37*T^3 + 30*T^4 - 13*T^5 + 2*T^6)/T^3, 
   -((9 - 59*T1 + 136*T1^2 - 167*T1^3 + 136*T1^4 - 59*T1^5 + 9*T1^6 - 59*T2 + 
      328*T1*T2 - 505*T1^2*T2 + 203*T1^3*T2 + 203*T1^4*T2 - 505*T1^5*T2 + 
      328*T1^6*T2 - 59*T1^7*T2 + 136*T2^2 - 505*T1*T2^2 - 337*T1^2*T2^2 + 
      2426*T1^3*T2^2 - 3079*T1^4*T2^2 + 2426*T1^5*T2^2 - 337*T1^6*T2^2 - 
      505*T1^7*T2^2 + 136*T1^8*T2^2 - 167*T2^3 + 203*T1*T2^3 + 
      2426*T1^2*T2^3 - 4816*T1^3*T2^3 + 1801*T1^4*T2^3 + 1801*T1^5*T2^3 - 
      4816*T1^6*T2^3 + 2426*T1^7*T2^3 + 203*T1^8*T2^3 - 167*T1^9*T2^3 + 
      136*T2^4 + 203*T1*T2^4 - 3079*T1^2*T2^4 + 1801*T1^3*T2^4 + 
      6310*T1^4*T2^4 - 8546*T1^5*T2^4 + 6310*T1^6*T2^4 + 1801*T1^7*T2^4 - 
      3079*T1^8*T2^4 + 203*T1^9*T2^4 + 136*T1^10*T2^4 - 59*T2^5 - 
      505*T1*T2^5 + 2426*T1^2*T2^5 + 1801*T1^3*T2^5 - 8546*T1^4*T2^5 + 
      3310*T1^5*T2^5 + 3310*T1^6*T2^5 - 8546*T1^7*T2^5 + 1801*T1^8*T2^5 + 
      2426*T1^9*T2^5 - 505*T1^10*T2^5 - 59*T1^11*T2^5 + 9*T2^6 + 
      328*T1*T2^6 - 337*T1^2*T2^6 - 4816*T1^3*T2^6 + 6310*T1^4*T2^6 + 
      3310*T1^5*T2^6 - 6096*T1^6*T2^6 + 3310*T1^7*T2^6 + 6310*T1^8*T2^6 - 
      4816*T1^9*T2^6 - 337*T1^10*T2^6 + 328*T1^11*T2^6 + 9*T1^12*T2^6 - 
      59*T1*T2^7 - 505*T1^2*T2^7 + 2426*T1^3*T2^7 + 1801*T1^4*T2^7 - 
      8546*T1^5*T2^7 + 3310*T1^6*T2^7 + 3310*T1^7*T2^7 - 8546*T1^8*T2^7 + 
      1801*T1^9*T2^7 + 2426*T1^10*T2^7 - 505*T1^11*T2^7 - 59*T1^12*T2^7 + 
      136*T1^2*T2^8 + 203*T1^3*T2^8 - 3079*T1^4*T2^8 + 1801*T1^5*T2^8 + 
      6310*T1^6*T2^8 - 8546*T1^7*T2^8 + 6310*T1^8*T2^8 + 1801*T1^9*T2^8 - 
      3079*T1^10*T2^8 + 203*T1^11*T2^8 + 136*T1^12*T2^8 - 167*T1^3*T2^9 + 
      203*T1^4*T2^9 + 2426*T1^5*T2^9 - 4816*T1^6*T2^9 + 1801*T1^7*T2^9 + 
      1801*T1^8*T2^9 - 4816*T1^9*T2^9 + 2426*T1^10*T2^9 + 203*T1^11*T2^9 - 
      167*T1^12*T2^9 + 136*T1^4*T2^10 - 505*T1^5*T2^10 - 337*T1^6*T2^10 + 
      2426*T1^7*T2^10 - 3079*T1^8*T2^10 + 2426*T1^9*T2^10 - 337*T1^10*T2^10 - 
      505*T1^11*T2^10 + 136*T1^12*T2^10 - 59*T1^5*T2^11 + 328*T1^6*T2^11 - 
      505*T1^7*T2^11 + 203*T1^8*T2^11 + 203*T1^9*T2^11 - 505*T1^10*T2^11 + 
      328*T1^11*T2^11 - 59*T1^12*T2^11 + 9*T1^6*T2^12 - 59*T1^7*T2^12 + 
      136*T1^8*T2^12 - 167*T1^9*T2^12 + 136*T1^10*T2^12 - 59*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 197] -> 
  {(3 - 17*T + 29*T^2 - 17*T^3 + 3*T^4)/T^2, 
   -((9 - 55*T1 + 97*T1^2 - 55*T1^3 + 9*T1^4 - 55*T2 + 282*T1*T2 - 
      258*T1^2*T2 - 258*T1^3*T2 + 282*T1^4*T2 - 55*T1^5*T2 + 97*T2^2 - 
      258*T1*T2^2 - 891*T1^2*T2^2 + 2401*T1^3*T2^2 - 891*T1^4*T2^2 - 
      258*T1^5*T2^2 + 97*T1^6*T2^2 - 55*T2^3 - 258*T1*T2^3 + 2401*T1^2*T2^3 - 
      2448*T1^3*T2^3 - 2448*T1^4*T2^3 + 2401*T1^5*T2^3 - 258*T1^6*T2^3 - 
      55*T1^7*T2^3 + 9*T2^4 + 282*T1*T2^4 - 891*T1^2*T2^4 - 2448*T1^3*T2^4 + 
      7056*T1^4*T2^4 - 2448*T1^5*T2^4 - 891*T1^6*T2^4 + 282*T1^7*T2^4 + 
      9*T1^8*T2^4 - 55*T1*T2^5 - 258*T1^2*T2^5 + 2401*T1^3*T2^5 - 
      2448*T1^4*T2^5 - 2448*T1^5*T2^5 + 2401*T1^6*T2^5 - 258*T1^7*T2^5 - 
      55*T1^8*T2^5 + 97*T1^2*T2^6 - 258*T1^3*T2^6 - 891*T1^4*T2^6 + 
      2401*T1^5*T2^6 - 891*T1^6*T2^6 - 258*T1^7*T2^6 + 97*T1^8*T2^6 - 
      55*T1^3*T2^7 + 282*T1^4*T2^7 - 258*T1^5*T2^7 - 258*T1^6*T2^7 + 
      282*T1^7*T2^7 - 55*T1^8*T2^7 + 9*T1^4*T2^8 - 55*T1^5*T2^8 + 
      97*T1^6*T2^8 - 55*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, Alternating, 198] -> 
  {-((2 - 16*T + 50*T^2 - 73*T^3 + 50*T^4 - 16*T^5 + 2*T^6)/T^3), 
   -((1 - 7*T1 + 22*T1^2 - 33*T1^3 + 22*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      40*T1*T2 - 98*T1^2*T2 + 72*T1^3*T2 + 72*T1^4*T2 - 98*T1^5*T2 + 
      40*T1^6*T2 - 7*T1^7*T2 + 22*T2^2 - 98*T1*T2^2 + 174*T1^2*T2^2 + 
      34*T1^3*T2^2 - 344*T1^4*T2^2 + 34*T1^5*T2^2 + 174*T1^6*T2^2 - 
      98*T1^7*T2^2 + 22*T1^8*T2^2 - 33*T2^3 + 72*T1*T2^3 + 34*T1^2*T2^3 - 
      494*T1^3*T2^3 + 544*T1^4*T2^3 + 544*T1^5*T2^3 - 494*T1^6*T2^3 + 
      34*T1^7*T2^3 + 72*T1^8*T2^3 - 33*T1^9*T2^3 + 22*T2^4 + 72*T1*T2^4 - 
      344*T1^2*T2^4 + 544*T1^3*T2^4 + 57*T1^4*T2^4 - 1159*T1^5*T2^4 + 
      57*T1^6*T2^4 + 544*T1^7*T2^4 - 344*T1^8*T2^4 + 72*T1^9*T2^4 + 
      22*T1^10*T2^4 - 7*T2^5 - 98*T1*T2^5 + 34*T1^2*T2^5 + 544*T1^3*T2^5 - 
      1159*T1^4*T2^5 + 974*T1^5*T2^5 + 974*T1^6*T2^5 - 1159*T1^7*T2^5 + 
      544*T1^8*T2^5 + 34*T1^9*T2^5 - 98*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      40*T1*T2^6 + 174*T1^2*T2^6 - 494*T1^3*T2^6 + 57*T1^4*T2^6 + 
      974*T1^5*T2^6 - 2100*T1^6*T2^6 + 974*T1^7*T2^6 + 57*T1^8*T2^6 - 
      494*T1^9*T2^6 + 174*T1^10*T2^6 + 40*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 98*T1^2*T2^7 + 34*T1^3*T2^7 + 544*T1^4*T2^7 - 
      1159*T1^5*T2^7 + 974*T1^6*T2^7 + 974*T1^7*T2^7 - 1159*T1^8*T2^7 + 
      544*T1^9*T2^7 + 34*T1^10*T2^7 - 98*T1^11*T2^7 - 7*T1^12*T2^7 + 
      22*T1^2*T2^8 + 72*T1^3*T2^8 - 344*T1^4*T2^8 + 544*T1^5*T2^8 + 
      57*T1^6*T2^8 - 1159*T1^7*T2^8 + 57*T1^8*T2^8 + 544*T1^9*T2^8 - 
      344*T1^10*T2^8 + 72*T1^11*T2^8 + 22*T1^12*T2^8 - 33*T1^3*T2^9 + 
      72*T1^4*T2^9 + 34*T1^5*T2^9 - 494*T1^6*T2^9 + 544*T1^7*T2^9 + 
      544*T1^8*T2^9 - 494*T1^9*T2^9 + 34*T1^10*T2^9 + 72*T1^11*T2^9 - 
      33*T1^12*T2^9 + 22*T1^4*T2^10 - 98*T1^5*T2^10 + 174*T1^6*T2^10 + 
      34*T1^7*T2^10 - 344*T1^8*T2^10 + 34*T1^9*T2^10 + 174*T1^10*T2^10 - 
      98*T1^11*T2^10 + 22*T1^12*T2^10 - 7*T1^5*T2^11 + 40*T1^6*T2^11 - 
      98*T1^7*T2^11 + 72*T1^8*T2^11 + 72*T1^9*T2^11 - 98*T1^10*T2^11 + 
      40*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      22*T1^8*T2^12 - 33*T1^9*T2^12 + 22*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 199] -> 
  {-((5 - 26*T + 56*T^2 - 71*T^3 + 56*T^4 - 26*T^5 + 5*T^6)/T^3), 
   -((270 - 1385*T1 + 2932*T1^2 - 3696*T1^3 + 2932*T1^4 - 1385*T1^5 + 
      270*T1^6 - 1385*T2 + 5746*T1*T2 - 8022*T1^2*T2 + 3973*T1^3*T2 + 
      3973*T1^4*T2 - 8022*T1^5*T2 + 5746*T1^6*T2 - 1385*T1^7*T2 + 2932*T2^2 - 
      8022*T1*T2^2 - 1531*T1^2*T2^2 + 22433*T1^3*T2^2 - 34461*T1^4*T2^2 + 
      22433*T1^5*T2^2 - 1531*T1^6*T2^2 - 8022*T1^7*T2^2 + 2932*T1^8*T2^2 - 
      3696*T2^3 + 3973*T1*T2^3 + 22433*T1^2*T2^3 - 41536*T1^3*T2^3 + 
      22794*T1^4*T2^3 + 22794*T1^5*T2^3 - 41536*T1^6*T2^3 + 22433*T1^7*T2^3 + 
      3973*T1^8*T2^3 - 3696*T1^9*T2^3 + 2932*T2^4 + 3973*T1*T2^4 - 
      34461*T1^2*T2^4 + 22794*T1^3*T2^4 + 28436*T1^4*T2^4 - 62902*T1^5*T2^4 + 
      28436*T1^6*T2^4 + 22794*T1^7*T2^4 - 34461*T1^8*T2^4 + 3973*T1^9*T2^4 + 
      2932*T1^10*T2^4 - 1385*T2^5 - 8022*T1*T2^5 + 22433*T1^2*T2^5 + 
      22794*T1^3*T2^5 - 62902*T1^4*T2^5 + 38482*T1^5*T2^5 + 38482*T1^6*T2^5 - 
      62902*T1^7*T2^5 + 22794*T1^8*T2^5 + 22433*T1^9*T2^5 - 8022*T1^10*T2^5 - 
      1385*T1^11*T2^5 + 270*T2^6 + 5746*T1*T2^6 - 1531*T1^2*T2^6 - 
      41536*T1^3*T2^6 + 28436*T1^4*T2^6 + 38482*T1^5*T2^6 - 85548*T1^6*T2^6 + 
      38482*T1^7*T2^6 + 28436*T1^8*T2^6 - 41536*T1^9*T2^6 - 1531*T1^10*T2^6 + 
      5746*T1^11*T2^6 + 270*T1^12*T2^6 - 1385*T1*T2^7 - 8022*T1^2*T2^7 + 
      22433*T1^3*T2^7 + 22794*T1^4*T2^7 - 62902*T1^5*T2^7 + 38482*T1^6*T2^7 + 
      38482*T1^7*T2^7 - 62902*T1^8*T2^7 + 22794*T1^9*T2^7 + 
      22433*T1^10*T2^7 - 8022*T1^11*T2^7 - 1385*T1^12*T2^7 + 2932*T1^2*T2^8 + 
      3973*T1^3*T2^8 - 34461*T1^4*T2^8 + 22794*T1^5*T2^8 + 28436*T1^6*T2^8 - 
      62902*T1^7*T2^8 + 28436*T1^8*T2^8 + 22794*T1^9*T2^8 - 
      34461*T1^10*T2^8 + 3973*T1^11*T2^8 + 2932*T1^12*T2^8 - 3696*T1^3*T2^9 + 
      3973*T1^4*T2^9 + 22433*T1^5*T2^9 - 41536*T1^6*T2^9 + 22794*T1^7*T2^9 + 
      22794*T1^8*T2^9 - 41536*T1^9*T2^9 + 22433*T1^10*T2^9 + 
      3973*T1^11*T2^9 - 3696*T1^12*T2^9 + 2932*T1^4*T2^10 - 8022*T1^5*T2^10 - 
      1531*T1^6*T2^10 + 22433*T1^7*T2^10 - 34461*T1^8*T2^10 + 
      22433*T1^9*T2^10 - 1531*T1^10*T2^10 - 8022*T1^11*T2^10 + 
      2932*T1^12*T2^10 - 1385*T1^5*T2^11 + 5746*T1^6*T2^11 - 
      8022*T1^7*T2^11 + 3973*T1^8*T2^11 + 3973*T1^9*T2^11 - 
      8022*T1^10*T2^11 + 5746*T1^11*T2^11 - 1385*T1^12*T2^11 + 
      270*T1^6*T2^12 - 1385*T1^7*T2^12 + 2932*T1^8*T2^12 - 3696*T1^9*T2^12 + 
      2932*T1^10*T2^12 - 1385*T1^11*T2^12 + 270*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), (1 - 7*T1 + 24*T1^2 - 47*T1^3 + 57*T1^4 - 47*T1^5 + 24*T1^6 - 
     7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 119*T1^2*T2 + 161*T1^3*T2 - 
     70*T1^4*T2 - 70*T1^5*T2 + 161*T1^6*T2 - 119*T1^7*T2 + 42*T1^8*T2 - 
     7*T1^9*T2 + 24*T2^2 - 119*T1*T2^2 + 258*T1^2*T2^2 - 112*T1^3*T2^2 - 
     401*T1^4*T2^2 + 598*T1^5*T2^2 - 401*T1^6*T2^2 - 112*T1^7*T2^2 + 
     258*T1^8*T2^2 - 119*T1^9*T2^2 + 24*T1^10*T2^2 - 47*T2^3 + 161*T1*T2^3 - 
     112*T1^2*T2^3 - 786*T1^3*T2^3 + 1747*T1^4*T2^3 - 728*T1^5*T2^3 - 
     728*T1^6*T2^3 + 1747*T1^7*T2^3 - 786*T1^8*T2^3 - 112*T1^9*T2^3 + 
     161*T1^10*T2^3 - 47*T1^11*T2^3 + 57*T2^4 - 70*T1*T2^4 - 401*T1^2*T2^4 + 
     1747*T1^3*T2^4 - 856*T1^4*T2^4 - 4138*T1^5*T2^4 + 5840*T1^6*T2^4 - 
     4138*T1^7*T2^4 - 856*T1^8*T2^4 + 1747*T1^9*T2^4 - 401*T1^10*T2^4 - 
     70*T1^11*T2^4 + 57*T1^12*T2^4 - 47*T2^5 - 70*T1*T2^5 + 598*T1^2*T2^5 - 
     728*T1^3*T2^5 - 4138*T1^4*T2^5 + 10426*T1^5*T2^5 - 4357*T1^6*T2^5 - 
     4357*T1^7*T2^5 + 10426*T1^8*T2^5 - 4138*T1^9*T2^5 - 728*T1^10*T2^5 + 
     598*T1^11*T2^5 - 70*T1^12*T2^5 - 47*T1^13*T2^5 + 24*T2^6 + 161*T1*T2^6 - 
     401*T1^2*T2^6 - 728*T1^3*T2^6 + 5840*T1^4*T2^6 - 4357*T1^5*T2^6 - 
     13297*T1^6*T2^6 + 19753*T1^7*T2^6 - 13297*T1^8*T2^6 - 4357*T1^9*T2^6 + 
     5840*T1^10*T2^6 - 728*T1^11*T2^6 - 401*T1^12*T2^6 + 161*T1^13*T2^6 + 
     24*T1^14*T2^6 - 7*T2^7 - 119*T1*T2^7 - 112*T1^2*T2^7 + 1747*T1^3*T2^7 - 
     4138*T1^4*T2^7 - 4357*T1^5*T2^7 + 19753*T1^6*T2^7 - 8888*T1^7*T2^7 - 
     8888*T1^8*T2^7 + 19753*T1^9*T2^7 - 4357*T1^10*T2^7 - 4138*T1^11*T2^7 + 
     1747*T1^12*T2^7 - 112*T1^13*T2^7 - 119*T1^14*T2^7 - 7*T1^15*T2^7 + 
     T2^8 + 42*T1*T2^8 + 258*T1^2*T2^8 - 786*T1^3*T2^8 - 856*T1^4*T2^8 + 
     10426*T1^5*T2^8 - 13297*T1^6*T2^8 - 8888*T1^7*T2^8 + 17676*T1^8*T2^8 - 
     8888*T1^9*T2^8 - 13297*T1^10*T2^8 + 10426*T1^11*T2^8 - 856*T1^12*T2^8 - 
     786*T1^13*T2^8 + 258*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 
     7*T1*T2^9 - 119*T1^2*T2^9 - 112*T1^3*T2^9 + 1747*T1^4*T2^9 - 
     4138*T1^5*T2^9 - 4357*T1^6*T2^9 + 19753*T1^7*T2^9 - 8888*T1^8*T2^9 - 
     8888*T1^9*T2^9 + 19753*T1^10*T2^9 - 4357*T1^11*T2^9 - 4138*T1^12*T2^9 + 
     1747*T1^13*T2^9 - 112*T1^14*T2^9 - 119*T1^15*T2^9 - 7*T1^16*T2^9 + 
     24*T1^2*T2^10 + 161*T1^3*T2^10 - 401*T1^4*T2^10 - 728*T1^5*T2^10 + 
     5840*T1^6*T2^10 - 4357*T1^7*T2^10 - 13297*T1^8*T2^10 + 
     19753*T1^9*T2^10 - 13297*T1^10*T2^10 - 4357*T1^11*T2^10 + 
     5840*T1^12*T2^10 - 728*T1^13*T2^10 - 401*T1^14*T2^10 + 161*T1^15*T2^10 + 
     24*T1^16*T2^10 - 47*T1^3*T2^11 - 70*T1^4*T2^11 + 598*T1^5*T2^11 - 
     728*T1^6*T2^11 - 4138*T1^7*T2^11 + 10426*T1^8*T2^11 - 4357*T1^9*T2^11 - 
     4357*T1^10*T2^11 + 10426*T1^11*T2^11 - 4138*T1^12*T2^11 - 
     728*T1^13*T2^11 + 598*T1^14*T2^11 - 70*T1^15*T2^11 - 47*T1^16*T2^11 + 
     57*T1^4*T2^12 - 70*T1^5*T2^12 - 401*T1^6*T2^12 + 1747*T1^7*T2^12 - 
     856*T1^8*T2^12 - 4138*T1^9*T2^12 + 5840*T1^10*T2^12 - 4138*T1^11*T2^12 - 
     856*T1^12*T2^12 + 1747*T1^13*T2^12 - 401*T1^14*T2^12 - 70*T1^15*T2^12 + 
     57*T1^16*T2^12 - 47*T1^5*T2^13 + 161*T1^6*T2^13 - 112*T1^7*T2^13 - 
     786*T1^8*T2^13 + 1747*T1^9*T2^13 - 728*T1^10*T2^13 - 728*T1^11*T2^13 + 
     1747*T1^12*T2^13 - 786*T1^13*T2^13 - 112*T1^14*T2^13 + 161*T1^15*T2^13 - 
     47*T1^16*T2^13 + 24*T1^6*T2^14 - 119*T1^7*T2^14 + 258*T1^8*T2^14 - 
     112*T1^9*T2^14 - 401*T1^10*T2^14 + 598*T1^11*T2^14 - 401*T1^12*T2^14 - 
     112*T1^13*T2^14 + 258*T1^14*T2^14 - 119*T1^15*T2^14 + 24*T1^16*T2^14 - 
     7*T1^7*T2^15 + 42*T1^8*T2^15 - 119*T1^9*T2^15 + 161*T1^10*T2^15 - 
     70*T1^11*T2^15 - 70*T1^12*T2^15 + 161*T1^13*T2^15 - 119*T1^14*T2^15 + 
     42*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 
     24*T1^10*T2^16 - 47*T1^11*T2^16 + 57*T1^12*T2^16 - 47*T1^13*T2^16 + 
     24*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 201] -> 
  {-((2 - 13*T + 37*T^2 - 53*T^3 + 37*T^4 - 13*T^5 + 2*T^6)/T^3), 
   (1 - 7*T1 + 22*T1^2 - 33*T1^3 + 22*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
     42*T1*T2 - 105*T1^2*T2 + 77*T1^3*T2 + 77*T1^4*T2 - 105*T1^5*T2 + 
     42*T1^6*T2 - 7*T1^7*T2 + 22*T2^2 - 105*T1*T2^2 + 170*T1^2*T2^2 + 
     202*T1^3*T2^2 - 692*T1^4*T2^2 + 202*T1^5*T2^2 + 170*T1^6*T2^2 - 
     105*T1^7*T2^2 + 22*T1^8*T2^2 - 33*T2^3 + 77*T1*T2^3 + 202*T1^2*T2^3 - 
     1422*T1^3*T2^3 + 1454*T1^4*T2^3 + 1454*T1^5*T2^3 - 1422*T1^6*T2^3 + 
     202*T1^7*T2^3 + 77*T1^8*T2^3 - 33*T1^9*T2^3 + 22*T2^4 + 77*T1*T2^4 - 
     692*T1^2*T2^4 + 1454*T1^3*T2^4 + 2457*T1^4*T2^4 - 8307*T1^5*T2^4 + 
     2457*T1^6*T2^4 + 1454*T1^7*T2^4 - 692*T1^8*T2^4 + 77*T1^9*T2^4 + 
     22*T1^10*T2^4 - 7*T2^5 - 105*T1*T2^5 + 202*T1^2*T2^5 + 1454*T1^3*T2^5 - 
     8307*T1^4*T2^5 + 8362*T1^5*T2^5 + 8362*T1^6*T2^5 - 8307*T1^7*T2^5 + 
     1454*T1^8*T2^5 + 202*T1^9*T2^5 - 105*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
     42*T1*T2^6 + 170*T1^2*T2^6 - 1422*T1^3*T2^6 + 2457*T1^4*T2^6 + 
     8362*T1^5*T2^6 - 23184*T1^6*T2^6 + 8362*T1^7*T2^6 + 2457*T1^8*T2^6 - 
     1422*T1^9*T2^6 + 170*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
     7*T1*T2^7 - 105*T1^2*T2^7 + 202*T1^3*T2^7 + 1454*T1^4*T2^7 - 
     8307*T1^5*T2^7 + 8362*T1^6*T2^7 + 8362*T1^7*T2^7 - 8307*T1^8*T2^7 + 
     1454*T1^9*T2^7 + 202*T1^10*T2^7 - 105*T1^11*T2^7 - 7*T1^12*T2^7 + 
     22*T1^2*T2^8 + 77*T1^3*T2^8 - 692*T1^4*T2^8 + 1454*T1^5*T2^8 + 
     2457*T1^6*T2^8 - 8307*T1^7*T2^8 + 2457*T1^8*T2^8 + 1454*T1^9*T2^8 - 
     692*T1^10*T2^8 + 77*T1^11*T2^8 + 22*T1^12*T2^8 - 33*T1^3*T2^9 + 
     77*T1^4*T2^9 + 202*T1^5*T2^9 - 1422*T1^6*T2^9 + 1454*T1^7*T2^9 + 
     1454*T1^8*T2^9 - 1422*T1^9*T2^9 + 202*T1^10*T2^9 + 77*T1^11*T2^9 - 
     33*T1^12*T2^9 + 22*T1^4*T2^10 - 105*T1^5*T2^10 + 170*T1^6*T2^10 + 
     202*T1^7*T2^10 - 692*T1^8*T2^10 + 202*T1^9*T2^10 + 170*T1^10*T2^10 - 
     105*T1^11*T2^10 + 22*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
     105*T1^7*T2^11 + 77*T1^8*T2^11 + 77*T1^9*T2^11 - 105*T1^10*T2^11 + 
     42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
     22*T1^8*T2^12 - 33*T1^9*T2^12 + 22*T1^10*T2^12 - 7*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   (T1 + T1^2 - 8*T1^3 + T1^4 + T1^5 + T2 - 14*T1*T2 + 2*T1^2*T2 + 
     38*T1^3*T2 + 38*T1^4*T2 + 2*T1^5*T2 - 14*T1^6*T2 + T1^7*T2 + T2^2 + 
     2*T1*T2^2 + 171*T1^2*T2^2 - 357*T1^3*T2^2 + 39*T1^4*T2^2 - 
     357*T1^5*T2^2 + 171*T1^6*T2^2 + 2*T1^7*T2^2 + T1^8*T2^2 - 8*T2^3 + 
     38*T1*T2^3 - 357*T1^2*T2^3 + 180*T1^3*T2^3 + 734*T1^4*T2^3 + 
     734*T1^5*T2^3 + 180*T1^6*T2^3 - 357*T1^7*T2^3 + 38*T1^8*T2^3 - 
     8*T1^9*T2^3 + T2^4 + 38*T1*T2^4 + 39*T1^2*T2^4 + 734*T1^3*T2^4 - 
     563*T1^4*T2^4 - 3283*T1^5*T2^4 - 563*T1^6*T2^4 + 734*T1^7*T2^4 + 
     39*T1^8*T2^4 + 38*T1^9*T2^4 + T1^10*T2^4 + T2^5 + 2*T1*T2^5 - 
     357*T1^2*T2^5 + 734*T1^3*T2^5 - 3283*T1^4*T2^5 + 5204*T1^5*T2^5 + 
     5204*T1^6*T2^5 - 3283*T1^7*T2^5 + 734*T1^8*T2^5 - 357*T1^9*T2^5 + 
     2*T1^10*T2^5 + T1^11*T2^5 - 14*T1*T2^6 + 171*T1^2*T2^6 + 180*T1^3*T2^6 - 
     563*T1^4*T2^6 + 5204*T1^5*T2^6 - 15384*T1^6*T2^6 + 5204*T1^7*T2^6 - 
     563*T1^8*T2^6 + 180*T1^9*T2^6 + 171*T1^10*T2^6 - 14*T1^11*T2^6 + 
     T1*T2^7 + 2*T1^2*T2^7 - 357*T1^3*T2^7 + 734*T1^4*T2^7 - 3283*T1^5*T2^7 + 
     5204*T1^6*T2^7 + 5204*T1^7*T2^7 - 3283*T1^8*T2^7 + 734*T1^9*T2^7 - 
     357*T1^10*T2^7 + 2*T1^11*T2^7 + T1^12*T2^7 + T1^2*T2^8 + 38*T1^3*T2^8 + 
     39*T1^4*T2^8 + 734*T1^5*T2^8 - 563*T1^6*T2^8 - 3283*T1^7*T2^8 - 
     563*T1^8*T2^8 + 734*T1^9*T2^8 + 39*T1^10*T2^8 + 38*T1^11*T2^8 + 
     T1^12*T2^8 - 8*T1^3*T2^9 + 38*T1^4*T2^9 - 357*T1^5*T2^9 + 
     180*T1^6*T2^9 + 734*T1^7*T2^9 + 734*T1^8*T2^9 + 180*T1^9*T2^9 - 
     357*T1^10*T2^9 + 38*T1^11*T2^9 - 8*T1^12*T2^9 + T1^4*T2^10 + 
     2*T1^5*T2^10 + 171*T1^6*T2^10 - 357*T1^7*T2^10 + 39*T1^8*T2^10 - 
     357*T1^9*T2^10 + 171*T1^10*T2^10 + 2*T1^11*T2^10 + T1^12*T2^10 + 
     T1^5*T2^11 - 14*T1^6*T2^11 + 2*T1^7*T2^11 + 38*T1^8*T2^11 + 
     38*T1^9*T2^11 + 2*T1^10*T2^11 - 14*T1^11*T2^11 + T1^12*T2^11 + 
     T1^7*T2^12 + T1^8*T2^12 - 8*T1^9*T2^12 + T1^10*T2^12 + T1^11*T2^12)/
    (T1^6*T2^6)}, 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), (1 - 7*T1 + 22*T1^2 - 39*T1^3 + 45*T1^4 - 39*T1^5 + 22*T1^6 - 
     7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 105*T1^2*T2 + 119*T1^3*T2 - 
     42*T1^4*T2 - 42*T1^5*T2 + 119*T1^6*T2 - 105*T1^7*T2 + 42*T1^8*T2 - 
     7*T1^9*T2 + 22*T2^2 - 105*T1*T2^2 + 162*T1^2*T2^2 + 74*T1^3*T2^2 - 
     461*T1^4*T2^2 + 524*T1^5*T2^2 - 461*T1^6*T2^2 + 74*T1^7*T2^2 + 
     162*T1^8*T2^2 - 105*T1^9*T2^2 + 22*T1^10*T2^2 - 39*T2^3 + 119*T1*T2^3 + 
     74*T1^2*T2^3 - 874*T1^3*T2^3 + 1236*T1^4*T2^3 - 332*T1^5*T2^3 - 
     332*T1^6*T2^3 + 1236*T1^7*T2^3 - 874*T1^8*T2^3 + 74*T1^9*T2^3 + 
     119*T1^10*T2^3 - 39*T1^11*T2^3 + 45*T2^4 - 42*T1*T2^4 - 461*T1^2*T2^4 + 
     1236*T1^3*T2^4 + 47*T1^4*T2^4 - 2847*T1^5*T2^4 + 3051*T1^6*T2^4 - 
     2847*T1^7*T2^4 + 47*T1^8*T2^4 + 1236*T1^9*T2^4 - 461*T1^10*T2^4 - 
     42*T1^11*T2^4 + 45*T1^12*T2^4 - 39*T2^5 - 42*T1*T2^5 + 524*T1^2*T2^5 - 
     332*T1^3*T2^5 - 2847*T1^4*T2^5 + 5044*T1^5*T2^5 - 1345*T1^6*T2^5 - 
     1345*T1^7*T2^5 + 5044*T1^8*T2^5 - 2847*T1^9*T2^5 - 332*T1^10*T2^5 + 
     524*T1^11*T2^5 - 42*T1^12*T2^5 - 39*T1^13*T2^5 + 22*T2^6 + 119*T1*T2^6 - 
     461*T1^2*T2^6 - 332*T1^3*T2^6 + 3051*T1^4*T2^6 - 1345*T1^5*T2^6 - 
     6077*T1^6*T2^6 + 7201*T1^7*T2^6 - 6077*T1^8*T2^6 - 1345*T1^9*T2^6 + 
     3051*T1^10*T2^6 - 332*T1^11*T2^6 - 461*T1^12*T2^6 + 119*T1^13*T2^6 + 
     22*T1^14*T2^6 - 7*T2^7 - 105*T1*T2^7 + 74*T1^2*T2^7 + 1236*T1^3*T2^7 - 
     2847*T1^4*T2^7 - 1345*T1^5*T2^7 + 7201*T1^6*T2^7 - 2494*T1^7*T2^7 - 
     2494*T1^8*T2^7 + 7201*T1^9*T2^7 - 1345*T1^10*T2^7 - 2847*T1^11*T2^7 + 
     1236*T1^12*T2^7 + 74*T1^13*T2^7 - 105*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 
     42*T1*T2^8 + 162*T1^2*T2^8 - 874*T1^3*T2^8 + 47*T1^4*T2^8 + 
     5044*T1^5*T2^8 - 6077*T1^6*T2^8 - 2494*T1^7*T2^8 + 4692*T1^8*T2^8 - 
     2494*T1^9*T2^8 - 6077*T1^10*T2^8 + 5044*T1^11*T2^8 + 47*T1^12*T2^8 - 
     874*T1^13*T2^8 + 162*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 
     7*T1*T2^9 - 105*T1^2*T2^9 + 74*T1^3*T2^9 + 1236*T1^4*T2^9 - 
     2847*T1^5*T2^9 - 1345*T1^6*T2^9 + 7201*T1^7*T2^9 - 2494*T1^8*T2^9 - 
     2494*T1^9*T2^9 + 7201*T1^10*T2^9 - 1345*T1^11*T2^9 - 2847*T1^12*T2^9 + 
     1236*T1^13*T2^9 + 74*T1^14*T2^9 - 105*T1^15*T2^9 - 7*T1^16*T2^9 + 
     22*T1^2*T2^10 + 119*T1^3*T2^10 - 461*T1^4*T2^10 - 332*T1^5*T2^10 + 
     3051*T1^6*T2^10 - 1345*T1^7*T2^10 - 6077*T1^8*T2^10 + 7201*T1^9*T2^10 - 
     6077*T1^10*T2^10 - 1345*T1^11*T2^10 + 3051*T1^12*T2^10 - 
     332*T1^13*T2^10 - 461*T1^14*T2^10 + 119*T1^15*T2^10 + 22*T1^16*T2^10 - 
     39*T1^3*T2^11 - 42*T1^4*T2^11 + 524*T1^5*T2^11 - 332*T1^6*T2^11 - 
     2847*T1^7*T2^11 + 5044*T1^8*T2^11 - 1345*T1^9*T2^11 - 1345*T1^10*T2^11 + 
     5044*T1^11*T2^11 - 2847*T1^12*T2^11 - 332*T1^13*T2^11 + 
     524*T1^14*T2^11 - 42*T1^15*T2^11 - 39*T1^16*T2^11 + 45*T1^4*T2^12 - 
     42*T1^5*T2^12 - 461*T1^6*T2^12 + 1236*T1^7*T2^12 + 47*T1^8*T2^12 - 
     2847*T1^9*T2^12 + 3051*T1^10*T2^12 - 2847*T1^11*T2^12 + 47*T1^12*T2^12 + 
     1236*T1^13*T2^12 - 461*T1^14*T2^12 - 42*T1^15*T2^12 + 45*T1^16*T2^12 - 
     39*T1^5*T2^13 + 119*T1^6*T2^13 + 74*T1^7*T2^13 - 874*T1^8*T2^13 + 
     1236*T1^9*T2^13 - 332*T1^10*T2^13 - 332*T1^11*T2^13 + 1236*T1^12*T2^13 - 
     874*T1^13*T2^13 + 74*T1^14*T2^13 + 119*T1^15*T2^13 - 39*T1^16*T2^13 + 
     22*T1^6*T2^14 - 105*T1^7*T2^14 + 162*T1^8*T2^14 + 74*T1^9*T2^14 - 
     461*T1^10*T2^14 + 524*T1^11*T2^14 - 461*T1^12*T2^14 + 74*T1^13*T2^14 + 
     162*T1^14*T2^14 - 105*T1^15*T2^14 + 22*T1^16*T2^14 - 7*T1^7*T2^15 + 
     42*T1^8*T2^15 - 105*T1^9*T2^15 + 119*T1^10*T2^15 - 42*T1^11*T2^15 - 
     42*T1^12*T2^15 + 119*T1^13*T2^15 - 105*T1^14*T2^15 + 42*T1^15*T2^15 - 
     7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 22*T1^10*T2^16 - 
     39*T1^11*T2^16 + 45*T1^12*T2^16 - 39*T1^13*T2^16 + 22*T1^14*T2^16 - 
     7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 204] -> 
  {-((2 - 14*T + 41*T^2 - 59*T^3 + 41*T^4 - 14*T^5 + 2*T^6)/T^3), 
   (1 - 7*T1 + 21*T1^2 - 31*T1^3 + 21*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
     42*T1*T2 - 98*T1^2*T2 + 70*T1^3*T2 + 70*T1^4*T2 - 98*T1^5*T2 + 
     42*T1^6*T2 - 7*T1^7*T2 + 21*T2^2 - 98*T1*T2^2 + 119*T1^2*T2^2 + 
     247*T1^3*T2^2 - 675*T1^4*T2^2 + 247*T1^5*T2^2 + 119*T1^6*T2^2 - 
     98*T1^7*T2^2 + 21*T1^8*T2^2 - 31*T2^3 + 70*T1*T2^3 + 247*T1^2*T2^3 - 
     1248*T1^3*T2^3 + 1166*T1^4*T2^3 + 1166*T1^5*T2^3 - 1248*T1^6*T2^3 + 
     247*T1^7*T2^3 + 70*T1^8*T2^3 - 31*T1^9*T2^3 + 21*T2^4 + 70*T1*T2^4 - 
     675*T1^2*T2^4 + 1166*T1^3*T2^4 + 1806*T1^4*T2^4 - 5884*T1^5*T2^4 + 
     1806*T1^6*T2^4 + 1166*T1^7*T2^4 - 675*T1^8*T2^4 + 70*T1^9*T2^4 + 
     21*T1^10*T2^4 - 7*T2^5 - 98*T1*T2^5 + 247*T1^2*T2^5 + 1166*T1^3*T2^5 - 
     5884*T1^4*T2^5 + 5576*T1^5*T2^5 + 5576*T1^6*T2^5 - 5884*T1^7*T2^5 + 
     1166*T1^8*T2^5 + 247*T1^9*T2^5 - 98*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
     42*T1*T2^6 + 119*T1^2*T2^6 - 1248*T1^3*T2^6 + 1806*T1^4*T2^6 + 
     5576*T1^5*T2^6 - 15024*T1^6*T2^6 + 5576*T1^7*T2^6 + 1806*T1^8*T2^6 - 
     1248*T1^9*T2^6 + 119*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
     7*T1*T2^7 - 98*T1^2*T2^7 + 247*T1^3*T2^7 + 1166*T1^4*T2^7 - 
     5884*T1^5*T2^7 + 5576*T1^6*T2^7 + 5576*T1^7*T2^7 - 5884*T1^8*T2^7 + 
     1166*T1^9*T2^7 + 247*T1^10*T2^7 - 98*T1^11*T2^7 - 7*T1^12*T2^7 + 
     21*T1^2*T2^8 + 70*T1^3*T2^8 - 675*T1^4*T2^8 + 1166*T1^5*T2^8 + 
     1806*T1^6*T2^8 - 5884*T1^7*T2^8 + 1806*T1^8*T2^8 + 1166*T1^9*T2^8 - 
     675*T1^10*T2^8 + 70*T1^11*T2^8 + 21*T1^12*T2^8 - 31*T1^3*T2^9 + 
     70*T1^4*T2^9 + 247*T1^5*T2^9 - 1248*T1^6*T2^9 + 1166*T1^7*T2^9 + 
     1166*T1^8*T2^9 - 1248*T1^9*T2^9 + 247*T1^10*T2^9 + 70*T1^11*T2^9 - 
     31*T1^12*T2^9 + 21*T1^4*T2^10 - 98*T1^5*T2^10 + 119*T1^6*T2^10 + 
     247*T1^7*T2^10 - 675*T1^8*T2^10 + 247*T1^9*T2^10 + 119*T1^10*T2^10 - 
     98*T1^11*T2^10 + 21*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
     98*T1^7*T2^11 + 70*T1^8*T2^11 + 70*T1^9*T2^11 - 98*T1^10*T2^11 + 
     42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
     21*T1^8*T2^12 - 31*T1^9*T2^12 + 21*T1^10*T2^12 - 7*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, 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), -((25 - 111*T1 + 218*T1^2 - 311*T1^3 + 345*T1^4 - 311*T1^5 + 
      218*T1^6 - 111*T1^7 + 25*T1^8 - 111*T2 + 384*T1*T2 - 483*T1^2*T2 + 
      423*T1^3*T2 - 156*T1^4*T2 - 156*T1^5*T2 + 423*T1^6*T2 - 483*T1^7*T2 + 
      384*T1^8*T2 - 111*T1^9*T2 + 218*T2^2 - 483*T1*T2^2 - 55*T1^2*T2^2 + 
      654*T1^3*T2^2 - 1321*T1^4*T2^2 + 1513*T1^5*T2^2 - 1321*T1^6*T2^2 + 
      654*T1^7*T2^2 - 55*T1^8*T2^2 - 483*T1^9*T2^2 + 218*T1^10*T2^2 - 
      311*T2^3 + 423*T1*T2^3 + 654*T1^2*T2^3 - 816*T1^3*T2^3 + 
      941*T1^4*T2^3 - 285*T1^5*T2^3 - 285*T1^6*T2^3 + 941*T1^7*T2^3 - 
      816*T1^8*T2^3 + 654*T1^9*T2^3 + 423*T1^10*T2^3 - 311*T1^11*T2^3 + 
      345*T2^4 - 156*T1*T2^4 - 1321*T1^2*T2^4 + 941*T1^3*T2^4 - 
      1391*T1^4*T2^4 + 977*T1^5*T2^4 - 1199*T1^6*T2^4 + 977*T1^7*T2^4 - 
      1391*T1^8*T2^4 + 941*T1^9*T2^4 - 1321*T1^10*T2^4 - 156*T1^11*T2^4 + 
      345*T1^12*T2^4 - 311*T2^5 - 156*T1*T2^5 + 1513*T1^2*T2^5 - 
      285*T1^3*T2^5 + 977*T1^4*T2^5 - 162*T1^5*T2^5 + 375*T1^6*T2^5 + 
      375*T1^7*T2^5 - 162*T1^8*T2^5 + 977*T1^9*T2^5 - 285*T1^10*T2^5 + 
      1513*T1^11*T2^5 - 156*T1^12*T2^5 - 311*T1^13*T2^5 + 218*T2^6 + 
      423*T1*T2^6 - 1321*T1^2*T2^6 - 285*T1^3*T2^6 - 1199*T1^4*T2^6 + 
      375*T1^5*T2^6 - 1139*T1^6*T2^6 + 483*T1^7*T2^6 - 1139*T1^8*T2^6 + 
      375*T1^9*T2^6 - 1199*T1^10*T2^6 - 285*T1^11*T2^6 - 1321*T1^12*T2^6 + 
      423*T1^13*T2^6 + 218*T1^14*T2^6 - 111*T2^7 - 483*T1*T2^7 + 
      654*T1^2*T2^7 + 941*T1^3*T2^7 + 977*T1^4*T2^7 + 375*T1^5*T2^7 + 
      483*T1^6*T2^7 + 388*T1^7*T2^7 + 388*T1^8*T2^7 + 483*T1^9*T2^7 + 
      375*T1^10*T2^7 + 977*T1^11*T2^7 + 941*T1^12*T2^7 + 654*T1^13*T2^7 - 
      483*T1^14*T2^7 - 111*T1^15*T2^7 + 25*T2^8 + 384*T1*T2^8 - 
      55*T1^2*T2^8 - 816*T1^3*T2^8 - 1391*T1^4*T2^8 - 162*T1^5*T2^8 - 
      1139*T1^6*T2^8 + 388*T1^7*T2^8 - 1308*T1^8*T2^8 + 388*T1^9*T2^8 - 
      1139*T1^10*T2^8 - 162*T1^11*T2^8 - 1391*T1^12*T2^8 - 816*T1^13*T2^8 - 
      55*T1^14*T2^8 + 384*T1^15*T2^8 + 25*T1^16*T2^8 - 111*T1*T2^9 - 
      483*T1^2*T2^9 + 654*T1^3*T2^9 + 941*T1^4*T2^9 + 977*T1^5*T2^9 + 
      375*T1^6*T2^9 + 483*T1^7*T2^9 + 388*T1^8*T2^9 + 388*T1^9*T2^9 + 
      483*T1^10*T2^9 + 375*T1^11*T2^9 + 977*T1^12*T2^9 + 941*T1^13*T2^9 + 
      654*T1^14*T2^9 - 483*T1^15*T2^9 - 111*T1^16*T2^9 + 218*T1^2*T2^10 + 
      423*T1^3*T2^10 - 1321*T1^4*T2^10 - 285*T1^5*T2^10 - 1199*T1^6*T2^10 + 
      375*T1^7*T2^10 - 1139*T1^8*T2^10 + 483*T1^9*T2^10 - 1139*T1^10*T2^10 + 
      375*T1^11*T2^10 - 1199*T1^12*T2^10 - 285*T1^13*T2^10 - 
      1321*T1^14*T2^10 + 423*T1^15*T2^10 + 218*T1^16*T2^10 - 311*T1^3*T2^11 - 
      156*T1^4*T2^11 + 1513*T1^5*T2^11 - 285*T1^6*T2^11 + 977*T1^7*T2^11 - 
      162*T1^8*T2^11 + 375*T1^9*T2^11 + 375*T1^10*T2^11 - 162*T1^11*T2^11 + 
      977*T1^12*T2^11 - 285*T1^13*T2^11 + 1513*T1^14*T2^11 - 
      156*T1^15*T2^11 - 311*T1^16*T2^11 + 345*T1^4*T2^12 - 156*T1^5*T2^12 - 
      1321*T1^6*T2^12 + 941*T1^7*T2^12 - 1391*T1^8*T2^12 + 977*T1^9*T2^12 - 
      1199*T1^10*T2^12 + 977*T1^11*T2^12 - 1391*T1^12*T2^12 + 
      941*T1^13*T2^12 - 1321*T1^14*T2^12 - 156*T1^15*T2^12 + 
      345*T1^16*T2^12 - 311*T1^5*T2^13 + 423*T1^6*T2^13 + 654*T1^7*T2^13 - 
      816*T1^8*T2^13 + 941*T1^9*T2^13 - 285*T1^10*T2^13 - 285*T1^11*T2^13 + 
      941*T1^12*T2^13 - 816*T1^13*T2^13 + 654*T1^14*T2^13 + 423*T1^15*T2^13 - 
      311*T1^16*T2^13 + 218*T1^6*T2^14 - 483*T1^7*T2^14 - 55*T1^8*T2^14 + 
      654*T1^9*T2^14 - 1321*T1^10*T2^14 + 1513*T1^11*T2^14 - 
      1321*T1^12*T2^14 + 654*T1^13*T2^14 - 55*T1^14*T2^14 - 483*T1^15*T2^14 + 
      218*T1^16*T2^14 - 111*T1^7*T2^15 + 384*T1^8*T2^15 - 483*T1^9*T2^15 + 
      423*T1^10*T2^15 - 156*T1^11*T2^15 - 156*T1^12*T2^15 + 423*T1^13*T2^15 - 
      483*T1^14*T2^15 + 384*T1^15*T2^15 - 111*T1^16*T2^15 + 25*T1^8*T2^16 - 
      111*T1^9*T2^16 + 218*T1^10*T2^16 - 311*T1^11*T2^16 + 345*T1^12*T2^16 - 
      311*T1^13*T2^16 + 218*T1^14*T2^16 - 111*T1^15*T2^16 + 25*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 206] -> 
  {-((3 - 13*T + 23*T^2 - 27*T^3 + 23*T^4 - 13*T^5 + 3*T^6)/T^3), 
   -((63 - 269*T1 + 469*T1^2 - 549*T1^3 + 469*T1^4 - 269*T1^5 + 63*T1^6 - 
      269*T2 + 882*T1*T2 - 860*T1^2*T2 + 344*T1^3*T2 + 344*T1^4*T2 - 
      860*T1^5*T2 + 882*T1^6*T2 - 269*T1^7*T2 + 469*T2^2 - 860*T1*T2^2 - 
      945*T1^2*T2^2 + 2557*T1^3*T2^2 - 3167*T1^4*T2^2 + 2557*T1^5*T2^2 - 
      945*T1^6*T2^2 - 860*T1^7*T2^2 + 469*T1^8*T2^2 - 549*T2^3 + 
      344*T1*T2^3 + 2557*T1^2*T2^3 - 2534*T1^3*T2^3 + 1022*T1^4*T2^3 + 
      1022*T1^5*T2^3 - 2534*T1^6*T2^3 + 2557*T1^7*T2^3 + 344*T1^8*T2^3 - 
      549*T1^9*T2^3 + 469*T2^4 + 344*T1*T2^4 - 3167*T1^2*T2^4 + 
      1022*T1^3*T2^4 + 599*T1^4*T2^4 - 1353*T1^5*T2^4 + 599*T1^6*T2^4 + 
      1022*T1^7*T2^4 - 3167*T1^8*T2^4 + 344*T1^9*T2^4 + 469*T1^10*T2^4 - 
      269*T2^5 - 860*T1*T2^5 + 2557*T1^2*T2^5 + 1022*T1^3*T2^5 - 
      1353*T1^4*T2^5 + 766*T1^5*T2^5 + 766*T1^6*T2^5 - 1353*T1^7*T2^5 + 
      1022*T1^8*T2^5 + 2557*T1^9*T2^5 - 860*T1^10*T2^5 - 269*T1^11*T2^5 + 
      63*T2^6 + 882*T1*T2^6 - 945*T1^2*T2^6 - 2534*T1^3*T2^6 + 
      599*T1^4*T2^6 + 766*T1^5*T2^6 - 1728*T1^6*T2^6 + 766*T1^7*T2^6 + 
      599*T1^8*T2^6 - 2534*T1^9*T2^6 - 945*T1^10*T2^6 + 882*T1^11*T2^6 + 
      63*T1^12*T2^6 - 269*T1*T2^7 - 860*T1^2*T2^7 + 2557*T1^3*T2^7 + 
      1022*T1^4*T2^7 - 1353*T1^5*T2^7 + 766*T1^6*T2^7 + 766*T1^7*T2^7 - 
      1353*T1^8*T2^7 + 1022*T1^9*T2^7 + 2557*T1^10*T2^7 - 860*T1^11*T2^7 - 
      269*T1^12*T2^7 + 469*T1^2*T2^8 + 344*T1^3*T2^8 - 3167*T1^4*T2^8 + 
      1022*T1^5*T2^8 + 599*T1^6*T2^8 - 1353*T1^7*T2^8 + 599*T1^8*T2^8 + 
      1022*T1^9*T2^8 - 3167*T1^10*T2^8 + 344*T1^11*T2^8 + 469*T1^12*T2^8 - 
      549*T1^3*T2^9 + 344*T1^4*T2^9 + 2557*T1^5*T2^9 - 2534*T1^6*T2^9 + 
      1022*T1^7*T2^9 + 1022*T1^8*T2^9 - 2534*T1^9*T2^9 + 2557*T1^10*T2^9 + 
      344*T1^11*T2^9 - 549*T1^12*T2^9 + 469*T1^4*T2^10 - 860*T1^5*T2^10 - 
      945*T1^6*T2^10 + 2557*T1^7*T2^10 - 3167*T1^8*T2^10 + 2557*T1^9*T2^10 - 
      945*T1^10*T2^10 - 860*T1^11*T2^10 + 469*T1^12*T2^10 - 269*T1^5*T2^11 + 
      882*T1^6*T2^11 - 860*T1^7*T2^11 + 344*T1^8*T2^11 + 344*T1^9*T2^11 - 
      860*T1^10*T2^11 + 882*T1^11*T2^11 - 269*T1^12*T2^11 + 63*T1^6*T2^12 - 
      269*T1^7*T2^12 + 469*T1^8*T2^12 - 549*T1^9*T2^12 + 469*T1^10*T2^12 - 
      269*T1^11*T2^12 + 63*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), -((1 - 7*T1 + 20*T1^2 - 33*T1^3 + 37*T1^4 - 33*T1^5 + 20*T1^6 - 
      7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 91*T1^2*T2 + 91*T1^3*T2 - 
      28*T1^4*T2 - 28*T1^5*T2 + 91*T1^6*T2 - 91*T1^7*T2 + 42*T1^8*T2 - 
      7*T1^9*T2 + 20*T2^2 - 91*T1*T2^2 + 78*T1^2*T2^2 + 178*T1^3*T2^2 - 
      477*T1^4*T2^2 + 500*T1^5*T2^2 - 477*T1^6*T2^2 + 178*T1^7*T2^2 + 
      78*T1^8*T2^2 - 91*T1^9*T2^2 + 20*T1^10*T2^2 - 33*T2^3 + 91*T1*T2^3 + 
      178*T1^2*T2^3 - 778*T1^3*T2^3 + 874*T1^4*T2^3 - 188*T1^5*T2^3 - 
      188*T1^6*T2^3 + 874*T1^7*T2^3 - 778*T1^8*T2^3 + 178*T1^9*T2^3 + 
      91*T1^10*T2^3 - 33*T1^11*T2^3 + 37*T2^4 - 28*T1*T2^4 - 477*T1^2*T2^4 + 
      874*T1^3*T2^4 + 174*T1^4*T2^4 - 1758*T1^5*T2^4 + 1718*T1^6*T2^4 - 
      1758*T1^7*T2^4 + 174*T1^8*T2^4 + 874*T1^9*T2^4 - 477*T1^10*T2^4 - 
      28*T1^11*T2^4 + 37*T1^12*T2^4 - 33*T2^5 - 28*T1*T2^5 + 500*T1^2*T2^5 - 
      188*T1^3*T2^5 - 1758*T1^4*T2^5 + 2600*T1^5*T2^5 - 601*T1^6*T2^5 - 
      601*T1^7*T2^5 + 2600*T1^8*T2^5 - 1758*T1^9*T2^5 - 188*T1^10*T2^5 + 
      500*T1^11*T2^5 - 28*T1^12*T2^5 - 33*T1^13*T2^5 + 20*T2^6 + 91*T1*T2^6 - 
      477*T1^2*T2^6 - 188*T1^3*T2^6 + 1718*T1^4*T2^6 - 601*T1^5*T2^6 - 
      2662*T1^6*T2^6 + 3074*T1^7*T2^6 - 2662*T1^8*T2^6 - 601*T1^9*T2^6 + 
      1718*T1^10*T2^6 - 188*T1^11*T2^6 - 477*T1^12*T2^6 + 91*T1^13*T2^6 + 
      20*T1^14*T2^6 - 7*T2^7 - 91*T1*T2^7 + 178*T1^2*T2^7 + 874*T1^3*T2^7 - 
      1758*T1^4*T2^7 - 601*T1^5*T2^7 + 3074*T1^6*T2^7 - 1146*T1^7*T2^7 - 
      1146*T1^8*T2^7 + 3074*T1^9*T2^7 - 601*T1^10*T2^7 - 1758*T1^11*T2^7 + 
      874*T1^12*T2^7 + 178*T1^13*T2^7 - 91*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 
      42*T1*T2^8 + 78*T1^2*T2^8 - 778*T1^3*T2^8 + 174*T1^4*T2^8 + 
      2600*T1^5*T2^8 - 2662*T1^6*T2^8 - 1146*T1^7*T2^8 + 2412*T1^8*T2^8 - 
      1146*T1^9*T2^8 - 2662*T1^10*T2^8 + 2600*T1^11*T2^8 + 174*T1^12*T2^8 - 
      778*T1^13*T2^8 + 78*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 
      7*T1*T2^9 - 91*T1^2*T2^9 + 178*T1^3*T2^9 + 874*T1^4*T2^9 - 
      1758*T1^5*T2^9 - 601*T1^6*T2^9 + 3074*T1^7*T2^9 - 1146*T1^8*T2^9 - 
      1146*T1^9*T2^9 + 3074*T1^10*T2^9 - 601*T1^11*T2^9 - 1758*T1^12*T2^9 + 
      874*T1^13*T2^9 + 178*T1^14*T2^9 - 91*T1^15*T2^9 - 7*T1^16*T2^9 + 
      20*T1^2*T2^10 + 91*T1^3*T2^10 - 477*T1^4*T2^10 - 188*T1^5*T2^10 + 
      1718*T1^6*T2^10 - 601*T1^7*T2^10 - 2662*T1^8*T2^10 + 3074*T1^9*T2^10 - 
      2662*T1^10*T2^10 - 601*T1^11*T2^10 + 1718*T1^12*T2^10 - 
      188*T1^13*T2^10 - 477*T1^14*T2^10 + 91*T1^15*T2^10 + 20*T1^16*T2^10 - 
      33*T1^3*T2^11 - 28*T1^4*T2^11 + 500*T1^5*T2^11 - 188*T1^6*T2^11 - 
      1758*T1^7*T2^11 + 2600*T1^8*T2^11 - 601*T1^9*T2^11 - 601*T1^10*T2^11 + 
      2600*T1^11*T2^11 - 1758*T1^12*T2^11 - 188*T1^13*T2^11 + 
      500*T1^14*T2^11 - 28*T1^15*T2^11 - 33*T1^16*T2^11 + 37*T1^4*T2^12 - 
      28*T1^5*T2^12 - 477*T1^6*T2^12 + 874*T1^7*T2^12 + 174*T1^8*T2^12 - 
      1758*T1^9*T2^12 + 1718*T1^10*T2^12 - 1758*T1^11*T2^12 + 
      174*T1^12*T2^12 + 874*T1^13*T2^12 - 477*T1^14*T2^12 - 28*T1^15*T2^12 + 
      37*T1^16*T2^12 - 33*T1^5*T2^13 + 91*T1^6*T2^13 + 178*T1^7*T2^13 - 
      778*T1^8*T2^13 + 874*T1^9*T2^13 - 188*T1^10*T2^13 - 188*T1^11*T2^13 + 
      874*T1^12*T2^13 - 778*T1^13*T2^13 + 178*T1^14*T2^13 + 91*T1^15*T2^13 - 
      33*T1^16*T2^13 + 20*T1^6*T2^14 - 91*T1^7*T2^14 + 78*T1^8*T2^14 + 
      178*T1^9*T2^14 - 477*T1^10*T2^14 + 500*T1^11*T2^14 - 477*T1^12*T2^14 + 
      178*T1^13*T2^14 + 78*T1^14*T2^14 - 91*T1^15*T2^14 + 20*T1^16*T2^14 - 
      7*T1^7*T2^15 + 42*T1^8*T2^15 - 91*T1^9*T2^15 + 91*T1^10*T2^15 - 
      28*T1^11*T2^15 - 28*T1^12*T2^15 + 91*T1^13*T2^15 - 91*T1^14*T2^15 + 
      42*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 
      20*T1^10*T2^16 - 33*T1^11*T2^16 + 37*T1^12*T2^16 - 33*T1^13*T2^16 + 
      20*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 208] -> 
  {-(((1 - 3*T + T^2)*(2 - 8*T + 13*T^2 - 8*T^3 + 2*T^4))/T^3), 
   -((1 - 7*T1 + 19*T1^2 - 27*T1^3 + 19*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 84*T1^2*T2 + 56*T1^3*T2 + 56*T1^4*T2 - 84*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 19*T2^2 - 84*T1*T2^2 + 47*T1^2*T2^2 + 
      235*T1^3*T2^2 - 507*T1^4*T2^2 + 235*T1^5*T2^2 + 47*T1^6*T2^2 - 
      84*T1^7*T2^2 + 19*T1^8*T2^2 - 27*T2^3 + 56*T1*T2^3 + 235*T1^2*T2^3 - 
      696*T1^3*T2^3 + 522*T1^4*T2^3 + 522*T1^5*T2^3 - 696*T1^6*T2^3 + 
      235*T1^7*T2^3 + 56*T1^8*T2^3 - 27*T1^9*T2^3 + 19*T2^4 + 56*T1*T2^4 - 
      507*T1^2*T2^4 + 522*T1^3*T2^4 + 525*T1^4*T2^4 - 1429*T1^5*T2^4 + 
      525*T1^6*T2^4 + 522*T1^7*T2^4 - 507*T1^8*T2^4 + 56*T1^9*T2^4 + 
      19*T1^10*T2^4 - 7*T2^5 - 84*T1*T2^5 + 235*T1^2*T2^5 + 522*T1^3*T2^5 - 
      1429*T1^4*T2^5 + 776*T1^5*T2^5 + 776*T1^6*T2^5 - 1429*T1^7*T2^5 + 
      522*T1^8*T2^5 + 235*T1^9*T2^5 - 84*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 + 47*T1^2*T2^6 - 696*T1^3*T2^6 + 525*T1^4*T2^6 + 
      776*T1^5*T2^6 - 1284*T1^6*T2^6 + 776*T1^7*T2^6 + 525*T1^8*T2^6 - 
      696*T1^9*T2^6 + 47*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 84*T1^2*T2^7 + 235*T1^3*T2^7 + 522*T1^4*T2^7 - 
      1429*T1^5*T2^7 + 776*T1^6*T2^7 + 776*T1^7*T2^7 - 1429*T1^8*T2^7 + 
      522*T1^9*T2^7 + 235*T1^10*T2^7 - 84*T1^11*T2^7 - 7*T1^12*T2^7 + 
      19*T1^2*T2^8 + 56*T1^3*T2^8 - 507*T1^4*T2^8 + 522*T1^5*T2^8 + 
      525*T1^6*T2^8 - 1429*T1^7*T2^8 + 525*T1^8*T2^8 + 522*T1^9*T2^8 - 
      507*T1^10*T2^8 + 56*T1^11*T2^8 + 19*T1^12*T2^8 - 27*T1^3*T2^9 + 
      56*T1^4*T2^9 + 235*T1^5*T2^9 - 696*T1^6*T2^9 + 522*T1^7*T2^9 + 
      522*T1^8*T2^9 - 696*T1^9*T2^9 + 235*T1^10*T2^9 + 56*T1^11*T2^9 - 
      27*T1^12*T2^9 + 19*T1^4*T2^10 - 84*T1^5*T2^10 + 47*T1^6*T2^10 + 
      235*T1^7*T2^10 - 507*T1^8*T2^10 + 235*T1^9*T2^10 + 47*T1^10*T2^10 - 
      84*T1^11*T2^10 + 19*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      84*T1^7*T2^11 + 56*T1^8*T2^11 + 56*T1^9*T2^11 - 84*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      19*T1^8*T2^12 - 27*T1^9*T2^12 + 19*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   (1 - 3*T1 - T1^2 + 7*T1^3 - T1^4 - 3*T1^5 + T1^6 - 3*T2 - 2*T1*T2 + 
     48*T1^2*T2 - 48*T1^3*T2 - 48*T1^4*T2 + 48*T1^5*T2 - 2*T1^6*T2 - 
     3*T1^7*T2 - T2^2 + 48*T1*T2^2 - 157*T1^2*T2^2 - 55*T1^3*T2^2 + 
     367*T1^4*T2^2 - 55*T1^5*T2^2 - 157*T1^6*T2^2 + 48*T1^7*T2^2 - 
     T1^8*T2^2 + 7*T2^3 - 48*T1*T2^3 - 55*T1^2*T2^3 + 850*T1^3*T2^3 - 
     780*T1^4*T2^3 - 780*T1^5*T2^3 + 850*T1^6*T2^3 - 55*T1^7*T2^3 - 
     48*T1^8*T2^3 + 7*T1^9*T2^3 - T2^4 - 48*T1*T2^4 + 367*T1^2*T2^4 - 
     780*T1^3*T2^4 - 1518*T1^4*T2^4 + 3922*T1^5*T2^4 - 1518*T1^6*T2^4 - 
     780*T1^7*T2^4 + 367*T1^8*T2^4 - 48*T1^9*T2^4 - T1^10*T2^4 - 3*T2^5 + 
     48*T1*T2^5 - 55*T1^2*T2^5 - 780*T1^3*T2^5 + 3922*T1^4*T2^5 - 
     3010*T1^5*T2^5 - 3010*T1^6*T2^5 + 3922*T1^7*T2^5 - 780*T1^8*T2^5 - 
     55*T1^9*T2^5 + 48*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 - 2*T1*T2^6 - 
     157*T1^2*T2^6 + 850*T1^3*T2^6 - 1518*T1^4*T2^6 - 3010*T1^5*T2^6 + 
     7308*T1^6*T2^6 - 3010*T1^7*T2^6 - 1518*T1^8*T2^6 + 850*T1^9*T2^6 - 
     157*T1^10*T2^6 - 2*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 + 48*T1^2*T2^7 - 
     55*T1^3*T2^7 - 780*T1^4*T2^7 + 3922*T1^5*T2^7 - 3010*T1^6*T2^7 - 
     3010*T1^7*T2^7 + 3922*T1^8*T2^7 - 780*T1^9*T2^7 - 55*T1^10*T2^7 + 
     48*T1^11*T2^7 - 3*T1^12*T2^7 - T1^2*T2^8 - 48*T1^3*T2^8 + 
     367*T1^4*T2^8 - 780*T1^5*T2^8 - 1518*T1^6*T2^8 + 3922*T1^7*T2^8 - 
     1518*T1^8*T2^8 - 780*T1^9*T2^8 + 367*T1^10*T2^8 - 48*T1^11*T2^8 - 
     T1^12*T2^8 + 7*T1^3*T2^9 - 48*T1^4*T2^9 - 55*T1^5*T2^9 + 850*T1^6*T2^9 - 
     780*T1^7*T2^9 - 780*T1^8*T2^9 + 850*T1^9*T2^9 - 55*T1^10*T2^9 - 
     48*T1^11*T2^9 + 7*T1^12*T2^9 - T1^4*T2^10 + 48*T1^5*T2^10 - 
     157*T1^6*T2^10 - 55*T1^7*T2^10 + 367*T1^8*T2^10 - 55*T1^9*T2^10 - 
     157*T1^10*T2^10 + 48*T1^11*T2^10 - T1^12*T2^10 - 3*T1^5*T2^11 - 
     2*T1^6*T2^11 + 48*T1^7*T2^11 - 48*T1^8*T2^11 - 48*T1^9*T2^11 + 
     48*T1^10*T2^11 - 2*T1^11*T2^11 - 3*T1^12*T2^11 + T1^6*T2^12 - 
     3*T1^7*T2^12 - T1^8*T2^12 + 7*T1^9*T2^12 - T1^10*T2^12 - 3*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 210] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)*(2 - 3*T + 2*T^2))/T^3), 
   -((144 - 704*T1 + 1488*T1^2 - 1896*T1^3 + 1488*T1^4 - 704*T1^5 + 
      144*T1^6 - 704*T2 + 2752*T1*T2 - 3872*T1^2*T2 + 2016*T1^3*T2 + 
      2016*T1^4*T2 - 3872*T1^5*T2 + 2752*T1^6*T2 - 704*T1^7*T2 + 1488*T2^2 - 
      3872*T1*T2^2 + 70*T1^2*T2^2 + 8940*T1^3*T2^2 - 14944*T1^4*T2^2 + 
      8940*T1^5*T2^2 + 70*T1^6*T2^2 - 3872*T1^7*T2^2 + 1488*T1^8*T2^2 - 
      1896*T2^3 + 2016*T1*T2^3 + 8940*T1^2*T2^3 - 17492*T1^3*T2^3 + 
      10760*T1^4*T2^3 + 10760*T1^5*T2^3 - 17492*T1^6*T2^3 + 8940*T1^7*T2^3 + 
      2016*T1^8*T2^3 - 1896*T1^9*T2^3 + 1488*T2^4 + 2016*T1*T2^4 - 
      14944*T1^2*T2^4 + 10760*T1^3*T2^4 + 10499*T1^4*T2^4 - 28693*T1^5*T2^4 + 
      10499*T1^6*T2^4 + 10760*T1^7*T2^4 - 14944*T1^8*T2^4 + 2016*T1^9*T2^4 + 
      1488*T1^10*T2^4 - 704*T2^5 - 3872*T1*T2^5 + 8940*T1^2*T2^5 + 
      10760*T1^3*T2^5 - 28693*T1^4*T2^5 + 20184*T1^5*T2^5 + 20184*T1^6*T2^5 - 
      28693*T1^7*T2^5 + 10760*T1^8*T2^5 + 8940*T1^9*T2^5 - 3872*T1^10*T2^5 - 
      704*T1^11*T2^5 + 144*T2^6 + 2752*T1*T2^6 + 70*T1^2*T2^6 - 
      17492*T1^3*T2^6 + 10499*T1^4*T2^6 + 20184*T1^5*T2^6 - 47280*T1^6*T2^6 + 
      20184*T1^7*T2^6 + 10499*T1^8*T2^6 - 17492*T1^9*T2^6 + 70*T1^10*T2^6 + 
      2752*T1^11*T2^6 + 144*T1^12*T2^6 - 704*T1*T2^7 - 3872*T1^2*T2^7 + 
      8940*T1^3*T2^7 + 10760*T1^4*T2^7 - 28693*T1^5*T2^7 + 20184*T1^6*T2^7 + 
      20184*T1^7*T2^7 - 28693*T1^8*T2^7 + 10760*T1^9*T2^7 + 8940*T1^10*T2^7 - 
      3872*T1^11*T2^7 - 704*T1^12*T2^7 + 1488*T1^2*T2^8 + 2016*T1^3*T2^8 - 
      14944*T1^4*T2^8 + 10760*T1^5*T2^8 + 10499*T1^6*T2^8 - 28693*T1^7*T2^8 + 
      10499*T1^8*T2^8 + 10760*T1^9*T2^8 - 14944*T1^10*T2^8 + 
      2016*T1^11*T2^8 + 1488*T1^12*T2^8 - 1896*T1^3*T2^9 + 2016*T1^4*T2^9 + 
      8940*T1^5*T2^9 - 17492*T1^6*T2^9 + 10760*T1^7*T2^9 + 10760*T1^8*T2^9 - 
      17492*T1^9*T2^9 + 8940*T1^10*T2^9 + 2016*T1^11*T2^9 - 1896*T1^12*T2^9 + 
      1488*T1^4*T2^10 - 3872*T1^5*T2^10 + 70*T1^6*T2^10 + 8940*T1^7*T2^10 - 
      14944*T1^8*T2^10 + 8940*T1^9*T2^10 + 70*T1^10*T2^10 - 
      3872*T1^11*T2^10 + 1488*T1^12*T2^10 - 704*T1^5*T2^11 + 
      2752*T1^6*T2^11 - 3872*T1^7*T2^11 + 2016*T1^8*T2^11 + 2016*T1^9*T2^11 - 
      3872*T1^10*T2^11 + 2752*T1^11*T2^11 - 704*T1^12*T2^11 + 
      144*T1^6*T2^12 - 704*T1^7*T2^12 + 1488*T1^8*T2^12 - 1896*T1^9*T2^12 + 
      1488*T1^10*T2^12 - 704*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   (1 - 3*T1 + 7*T1^2 - 12*T1^3 + 15*T1^4 - 12*T1^5 + 7*T1^6 - 3*T1^7 + 
     T1^8 - 3*T2 + 6*T1*T2 - 12*T1^2*T2 + 15*T1^3*T2 - 9*T1^4*T2 - 
     9*T1^5*T2 + 15*T1^6*T2 - 12*T1^7*T2 + 6*T1^8*T2 - 3*T1^9*T2 + 7*T2^2 - 
     12*T1*T2^2 + 34*T1^2*T2^2 - 71*T1^3*T2^2 + 123*T1^4*T2^2 - 
     138*T1^5*T2^2 + 123*T1^6*T2^2 - 71*T1^7*T2^2 + 34*T1^8*T2^2 - 
     12*T1^9*T2^2 + 7*T1^10*T2^2 - 12*T2^3 + 15*T1*T2^3 - 71*T1^2*T2^3 + 
     158*T1^3*T2^3 - 240*T1^4*T2^3 + 108*T1^5*T2^3 + 108*T1^6*T2^3 - 
     240*T1^7*T2^3 + 158*T1^8*T2^3 - 71*T1^9*T2^3 + 15*T1^10*T2^3 - 
     12*T1^11*T2^3 + 15*T2^4 - 9*T1*T2^4 + 123*T1^2*T2^4 - 240*T1^3*T2^4 + 
     312*T1^4*T2^4 - 148*T1^6*T2^4 + 312*T1^8*T2^4 - 240*T1^9*T2^4 + 
     123*T1^10*T2^4 - 9*T1^11*T2^4 + 15*T1^12*T2^4 - 12*T2^5 - 9*T1*T2^5 - 
     138*T1^2*T2^5 + 108*T1^3*T2^5 - 480*T1^5*T2^5 + 225*T1^6*T2^5 + 
     225*T1^7*T2^5 - 480*T1^8*T2^5 + 108*T1^10*T2^5 - 138*T1^11*T2^5 - 
     9*T1^12*T2^5 - 12*T1^13*T2^5 + 7*T2^6 + 15*T1*T2^6 + 123*T1^2*T2^6 + 
     108*T1^3*T2^6 - 148*T1^4*T2^6 + 225*T1^5*T2^6 + 821*T1^6*T2^6 - 
     1157*T1^7*T2^6 + 821*T1^8*T2^6 + 225*T1^9*T2^6 - 148*T1^10*T2^6 + 
     108*T1^11*T2^6 + 123*T1^12*T2^6 + 15*T1^13*T2^6 + 7*T1^14*T2^6 - 
     3*T2^7 - 12*T1*T2^7 - 71*T1^2*T2^7 - 240*T1^3*T2^7 + 225*T1^5*T2^7 - 
     1157*T1^6*T2^7 + 426*T1^7*T2^7 + 426*T1^8*T2^7 - 1157*T1^9*T2^7 + 
     225*T1^10*T2^7 - 240*T1^12*T2^7 - 71*T1^13*T2^7 - 12*T1^14*T2^7 - 
     3*T1^15*T2^7 + T2^8 + 6*T1*T2^8 + 34*T1^2*T2^8 + 158*T1^3*T2^8 + 
     312*T1^4*T2^8 - 480*T1^5*T2^8 + 821*T1^6*T2^8 + 426*T1^7*T2^8 - 
     672*T1^8*T2^8 + 426*T1^9*T2^8 + 821*T1^10*T2^8 - 480*T1^11*T2^8 + 
     312*T1^12*T2^8 + 158*T1^13*T2^8 + 34*T1^14*T2^8 + 6*T1^15*T2^8 + 
     T1^16*T2^8 - 3*T1*T2^9 - 12*T1^2*T2^9 - 71*T1^3*T2^9 - 240*T1^4*T2^9 + 
     225*T1^6*T2^9 - 1157*T1^7*T2^9 + 426*T1^8*T2^9 + 426*T1^9*T2^9 - 
     1157*T1^10*T2^9 + 225*T1^11*T2^9 - 240*T1^13*T2^9 - 71*T1^14*T2^9 - 
     12*T1^15*T2^9 - 3*T1^16*T2^9 + 7*T1^2*T2^10 + 15*T1^3*T2^10 + 
     123*T1^4*T2^10 + 108*T1^5*T2^10 - 148*T1^6*T2^10 + 225*T1^7*T2^10 + 
     821*T1^8*T2^10 - 1157*T1^9*T2^10 + 821*T1^10*T2^10 + 225*T1^11*T2^10 - 
     148*T1^12*T2^10 + 108*T1^13*T2^10 + 123*T1^14*T2^10 + 15*T1^15*T2^10 + 
     7*T1^16*T2^10 - 12*T1^3*T2^11 - 9*T1^4*T2^11 - 138*T1^5*T2^11 + 
     108*T1^6*T2^11 - 480*T1^8*T2^11 + 225*T1^9*T2^11 + 225*T1^10*T2^11 - 
     480*T1^11*T2^11 + 108*T1^13*T2^11 - 138*T1^14*T2^11 - 9*T1^15*T2^11 - 
     12*T1^16*T2^11 + 15*T1^4*T2^12 - 9*T1^5*T2^12 + 123*T1^6*T2^12 - 
     240*T1^7*T2^12 + 312*T1^8*T2^12 - 148*T1^10*T2^12 + 312*T1^12*T2^12 - 
     240*T1^13*T2^12 + 123*T1^14*T2^12 - 9*T1^15*T2^12 + 15*T1^16*T2^12 - 
     12*T1^5*T2^13 + 15*T1^6*T2^13 - 71*T1^7*T2^13 + 158*T1^8*T2^13 - 
     240*T1^9*T2^13 + 108*T1^10*T2^13 + 108*T1^11*T2^13 - 240*T1^12*T2^13 + 
     158*T1^13*T2^13 - 71*T1^14*T2^13 + 15*T1^15*T2^13 - 12*T1^16*T2^13 + 
     7*T1^6*T2^14 - 12*T1^7*T2^14 + 34*T1^8*T2^14 - 71*T1^9*T2^14 + 
     123*T1^10*T2^14 - 138*T1^11*T2^14 + 123*T1^12*T2^14 - 71*T1^13*T2^14 + 
     34*T1^14*T2^14 - 12*T1^15*T2^14 + 7*T1^16*T2^14 - 3*T1^7*T2^15 + 
     6*T1^8*T2^15 - 12*T1^9*T2^15 + 15*T1^10*T2^15 - 9*T1^11*T2^15 - 
     9*T1^12*T2^15 + 15*T1^13*T2^15 - 12*T1^14*T2^15 + 6*T1^15*T2^15 - 
     3*T1^16*T2^15 + T1^8*T2^16 - 3*T1^9*T2^16 + 7*T1^10*T2^16 - 
     12*T1^11*T2^16 + 15*T1^12*T2^16 - 12*T1^13*T2^16 + 7*T1^14*T2^16 - 
     3*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 212] -> {((1 - T + T^2)*(2 - 3*T + 2*T^2)^2)/T^3, 
   (64 - 248*T1 + 496*T1^2 - 608*T1^3 + 496*T1^4 - 248*T1^5 + 64*T1^6 - 
     248*T2 + 720*T1*T2 - 976*T1^2*T2 + 444*T1^3*T2 + 444*T1^4*T2 - 
     976*T1^5*T2 + 720*T1^6*T2 - 248*T1^7*T2 + 496*T2^2 - 976*T1*T2^2 + 
     538*T1^2*T2^2 + 1124*T1^3*T2^2 - 1920*T1^4*T2^2 + 1124*T1^5*T2^2 + 
     538*T1^6*T2^2 - 976*T1^7*T2^2 + 496*T1^8*T2^2 - 608*T2^3 + 444*T1*T2^3 + 
     1124*T1^2*T2^3 - 2948*T1^3*T2^3 + 1460*T1^4*T2^3 + 1460*T1^5*T2^3 - 
     2948*T1^6*T2^3 + 1124*T1^7*T2^3 + 444*T1^8*T2^3 - 608*T1^9*T2^3 + 
     496*T2^4 + 444*T1*T2^4 - 1920*T1^2*T2^4 + 1460*T1^3*T2^4 + 
     3087*T1^4*T2^4 - 5313*T1^5*T2^4 + 3087*T1^6*T2^4 + 1460*T1^7*T2^4 - 
     1920*T1^8*T2^4 + 444*T1^9*T2^4 + 496*T1^10*T2^4 - 248*T2^5 - 
     976*T1*T2^5 + 1124*T1^2*T2^5 + 1460*T1^3*T2^5 - 5313*T1^4*T2^5 + 
     2728*T1^5*T2^5 + 2728*T1^6*T2^5 - 5313*T1^7*T2^5 + 1460*T1^8*T2^5 + 
     1124*T1^9*T2^5 - 976*T1^10*T2^5 - 248*T1^11*T2^5 + 64*T2^6 + 
     720*T1*T2^6 + 538*T1^2*T2^6 - 2948*T1^3*T2^6 + 3087*T1^4*T2^6 + 
     2728*T1^5*T2^6 - 5688*T1^6*T2^6 + 2728*T1^7*T2^6 + 3087*T1^8*T2^6 - 
     2948*T1^9*T2^6 + 538*T1^10*T2^6 + 720*T1^11*T2^6 + 64*T1^12*T2^6 - 
     248*T1*T2^7 - 976*T1^2*T2^7 + 1124*T1^3*T2^7 + 1460*T1^4*T2^7 - 
     5313*T1^5*T2^7 + 2728*T1^6*T2^7 + 2728*T1^7*T2^7 - 5313*T1^8*T2^7 + 
     1460*T1^9*T2^7 + 1124*T1^10*T2^7 - 976*T1^11*T2^7 - 248*T1^12*T2^7 + 
     496*T1^2*T2^8 + 444*T1^3*T2^8 - 1920*T1^4*T2^8 + 1460*T1^5*T2^8 + 
     3087*T1^6*T2^8 - 5313*T1^7*T2^8 + 3087*T1^8*T2^8 + 1460*T1^9*T2^8 - 
     1920*T1^10*T2^8 + 444*T1^11*T2^8 + 496*T1^12*T2^8 - 608*T1^3*T2^9 + 
     444*T1^4*T2^9 + 1124*T1^5*T2^9 - 2948*T1^6*T2^9 + 1460*T1^7*T2^9 + 
     1460*T1^8*T2^9 - 2948*T1^9*T2^9 + 1124*T1^10*T2^9 + 444*T1^11*T2^9 - 
     608*T1^12*T2^9 + 496*T1^4*T2^10 - 976*T1^5*T2^10 + 538*T1^6*T2^10 + 
     1124*T1^7*T2^10 - 1920*T1^8*T2^10 + 1124*T1^9*T2^10 + 538*T1^10*T2^10 - 
     976*T1^11*T2^10 + 496*T1^12*T2^10 - 248*T1^5*T2^11 + 720*T1^6*T2^11 - 
     976*T1^7*T2^11 + 444*T1^8*T2^11 + 444*T1^9*T2^11 - 976*T1^10*T2^11 + 
     720*T1^11*T2^11 - 248*T1^12*T2^11 + 64*T1^6*T2^12 - 248*T1^7*T2^12 + 
     496*T1^8*T2^12 - 608*T1^9*T2^12 + 496*T1^10*T2^12 - 248*T1^11*T2^12 + 
     64*T1^12*T2^12)/(T1^6*T2^6)}, 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), -((1 - 8*T1 + 28*T1^2 - 54*T1^3 + 65*T1^4 - 54*T1^5 + 28*T1^6 - 
      8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 160*T1^2*T2 + 208*T1^3*T2 - 
      88*T1^4*T2 - 88*T1^5*T2 + 208*T1^6*T2 - 160*T1^7*T2 + 56*T1^8*T2 - 
      8*T1^9*T2 + 28*T2^2 - 160*T1*T2^2 + 300*T1^2*T2^2 + 54*T1^3*T2^2 - 
      850*T1^4*T2^2 + 1140*T1^5*T2^2 - 850*T1^6*T2^2 + 54*T1^7*T2^2 + 
      300*T1^8*T2^2 - 160*T1^9*T2^2 + 28*T1^10*T2^2 - 54*T2^3 + 208*T1*T2^3 + 
      54*T1^2*T2^3 - 1598*T1^3*T2^3 + 2735*T1^4*T2^3 - 1092*T1^5*T2^3 - 
      1092*T1^6*T2^3 + 2735*T1^7*T2^3 - 1598*T1^8*T2^3 + 54*T1^9*T2^3 + 
      208*T1^10*T2^3 - 54*T1^11*T2^3 + 65*T2^4 - 88*T1*T2^4 - 850*T1^2*T2^4 + 
      2735*T1^3*T2^4 - 691*T1^4*T2^4 - 5892*T1^5*T2^4 + 7951*T1^6*T2^4 - 
      5892*T1^7*T2^4 - 691*T1^8*T2^4 + 2735*T1^9*T2^4 - 850*T1^10*T2^4 - 
      88*T1^11*T2^4 + 65*T1^12*T2^4 - 54*T2^5 - 88*T1*T2^5 + 1140*T1^2*T2^5 - 
      1092*T1^3*T2^5 - 5892*T1^4*T2^5 + 12476*T1^5*T2^5 - 4903*T1^6*T2^5 - 
      4903*T1^7*T2^5 + 12476*T1^8*T2^5 - 5892*T1^9*T2^5 - 1092*T1^10*T2^5 + 
      1140*T1^11*T2^5 - 88*T1^12*T2^5 - 54*T1^13*T2^5 + 28*T2^6 + 
      208*T1*T2^6 - 850*T1^2*T2^6 - 1092*T1^3*T2^6 + 7951*T1^4*T2^6 - 
      4903*T1^5*T2^6 - 13851*T1^6*T2^6 + 19873*T1^7*T2^6 - 13851*T1^8*T2^6 - 
      4903*T1^9*T2^6 + 7951*T1^10*T2^6 - 1092*T1^11*T2^6 - 850*T1^12*T2^6 + 
      208*T1^13*T2^6 + 28*T1^14*T2^6 - 8*T2^7 - 160*T1*T2^7 + 54*T1^2*T2^7 + 
      2735*T1^3*T2^7 - 5892*T1^4*T2^7 - 4903*T1^5*T2^7 + 19873*T1^6*T2^7 - 
      8360*T1^7*T2^7 - 8360*T1^8*T2^7 + 19873*T1^9*T2^7 - 4903*T1^10*T2^7 - 
      5892*T1^11*T2^7 + 2735*T1^12*T2^7 + 54*T1^13*T2^7 - 160*T1^14*T2^7 - 
      8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 300*T1^2*T2^8 - 1598*T1^3*T2^8 - 
      691*T1^4*T2^8 + 12476*T1^5*T2^8 - 13851*T1^6*T2^8 - 8360*T1^7*T2^8 + 
      16092*T1^8*T2^8 - 8360*T1^9*T2^8 - 13851*T1^10*T2^8 + 
      12476*T1^11*T2^8 - 691*T1^12*T2^8 - 1598*T1^13*T2^8 + 300*T1^14*T2^8 + 
      56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 160*T1^2*T2^9 + 54*T1^3*T2^9 + 
      2735*T1^4*T2^9 - 5892*T1^5*T2^9 - 4903*T1^6*T2^9 + 19873*T1^7*T2^9 - 
      8360*T1^8*T2^9 - 8360*T1^9*T2^9 + 19873*T1^10*T2^9 - 4903*T1^11*T2^9 - 
      5892*T1^12*T2^9 + 2735*T1^13*T2^9 + 54*T1^14*T2^9 - 160*T1^15*T2^9 - 
      8*T1^16*T2^9 + 28*T1^2*T2^10 + 208*T1^3*T2^10 - 850*T1^4*T2^10 - 
      1092*T1^5*T2^10 + 7951*T1^6*T2^10 - 4903*T1^7*T2^10 - 
      13851*T1^8*T2^10 + 19873*T1^9*T2^10 - 13851*T1^10*T2^10 - 
      4903*T1^11*T2^10 + 7951*T1^12*T2^10 - 1092*T1^13*T2^10 - 
      850*T1^14*T2^10 + 208*T1^15*T2^10 + 28*T1^16*T2^10 - 54*T1^3*T2^11 - 
      88*T1^4*T2^11 + 1140*T1^5*T2^11 - 1092*T1^6*T2^11 - 5892*T1^7*T2^11 + 
      12476*T1^8*T2^11 - 4903*T1^9*T2^11 - 4903*T1^10*T2^11 + 
      12476*T1^11*T2^11 - 5892*T1^12*T2^11 - 1092*T1^13*T2^11 + 
      1140*T1^14*T2^11 - 88*T1^15*T2^11 - 54*T1^16*T2^11 + 65*T1^4*T2^12 - 
      88*T1^5*T2^12 - 850*T1^6*T2^12 + 2735*T1^7*T2^12 - 691*T1^8*T2^12 - 
      5892*T1^9*T2^12 + 7951*T1^10*T2^12 - 5892*T1^11*T2^12 - 
      691*T1^12*T2^12 + 2735*T1^13*T2^12 - 850*T1^14*T2^12 - 88*T1^15*T2^12 + 
      65*T1^16*T2^12 - 54*T1^5*T2^13 + 208*T1^6*T2^13 + 54*T1^7*T2^13 - 
      1598*T1^8*T2^13 + 2735*T1^9*T2^13 - 1092*T1^10*T2^13 - 
      1092*T1^11*T2^13 + 2735*T1^12*T2^13 - 1598*T1^13*T2^13 + 
      54*T1^14*T2^13 + 208*T1^15*T2^13 - 54*T1^16*T2^13 + 28*T1^6*T2^14 - 
      160*T1^7*T2^14 + 300*T1^8*T2^14 + 54*T1^9*T2^14 - 850*T1^10*T2^14 + 
      1140*T1^11*T2^14 - 850*T1^12*T2^14 + 54*T1^13*T2^14 + 300*T1^14*T2^14 - 
      160*T1^15*T2^14 + 28*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 
      160*T1^9*T2^15 + 208*T1^10*T2^15 - 88*T1^11*T2^15 - 88*T1^12*T2^15 + 
      208*T1^13*T2^15 - 160*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + 
      T1^8*T2^16 - 8*T1^9*T2^16 + 28*T1^10*T2^16 - 54*T1^11*T2^16 + 
      65*T1^12*T2^16 - 54*T1^13*T2^16 + 28*T1^14*T2^16 - 8*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, 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, 
   (2 - 14*T1 + 36*T1^2 - 50*T1^3 + 36*T1^4 - 14*T1^5 + 2*T1^6 - 14*T2 + 
     80*T1*T2 - 146*T1^2*T2 + 88*T1^3*T2 + 88*T1^4*T2 - 146*T1^5*T2 + 
     80*T1^6*T2 - 14*T1^7*T2 + 36*T2^2 - 146*T1*T2^2 + 37*T1^2*T2^2 + 
     478*T1^3*T2^2 - 861*T1^4*T2^2 + 478*T1^5*T2^2 + 37*T1^6*T2^2 - 
     146*T1^7*T2^2 + 36*T1^8*T2^2 - 50*T2^3 + 88*T1*T2^3 + 478*T1^2*T2^3 - 
     1292*T1^3*T2^3 + 814*T1^4*T2^3 + 814*T1^5*T2^3 - 1292*T1^6*T2^3 + 
     478*T1^7*T2^3 + 88*T1^8*T2^3 - 50*T1^9*T2^3 + 36*T2^4 + 88*T1*T2^4 - 
     861*T1^2*T2^4 + 814*T1^3*T2^4 + 1450*T1^4*T2^4 - 3080*T1^5*T2^4 + 
     1450*T1^6*T2^4 + 814*T1^7*T2^4 - 861*T1^8*T2^4 + 88*T1^9*T2^4 + 
     36*T1^10*T2^4 - 14*T2^5 - 146*T1*T2^5 + 478*T1^2*T2^5 + 814*T1^3*T2^5 - 
     3080*T1^4*T2^5 + 1902*T1^5*T2^5 + 1902*T1^6*T2^5 - 3080*T1^7*T2^5 + 
     814*T1^8*T2^5 + 478*T1^9*T2^5 - 146*T1^10*T2^5 - 14*T1^11*T2^5 + 
     2*T2^6 + 80*T1*T2^6 + 37*T1^2*T2^6 - 1292*T1^3*T2^6 + 1450*T1^4*T2^6 + 
     1902*T1^5*T2^6 - 4200*T1^6*T2^6 + 1902*T1^7*T2^6 + 1450*T1^8*T2^6 - 
     1292*T1^9*T2^6 + 37*T1^10*T2^6 + 80*T1^11*T2^6 + 2*T1^12*T2^6 - 
     14*T1*T2^7 - 146*T1^2*T2^7 + 478*T1^3*T2^7 + 814*T1^4*T2^7 - 
     3080*T1^5*T2^7 + 1902*T1^6*T2^7 + 1902*T1^7*T2^7 - 3080*T1^8*T2^7 + 
     814*T1^9*T2^7 + 478*T1^10*T2^7 - 146*T1^11*T2^7 - 14*T1^12*T2^7 + 
     36*T1^2*T2^8 + 88*T1^3*T2^8 - 861*T1^4*T2^8 + 814*T1^5*T2^8 + 
     1450*T1^6*T2^8 - 3080*T1^7*T2^8 + 1450*T1^8*T2^8 + 814*T1^9*T2^8 - 
     861*T1^10*T2^8 + 88*T1^11*T2^8 + 36*T1^12*T2^8 - 50*T1^3*T2^9 + 
     88*T1^4*T2^9 + 478*T1^5*T2^9 - 1292*T1^6*T2^9 + 814*T1^7*T2^9 + 
     814*T1^8*T2^9 - 1292*T1^9*T2^9 + 478*T1^10*T2^9 + 88*T1^11*T2^9 - 
     50*T1^12*T2^9 + 36*T1^4*T2^10 - 146*T1^5*T2^10 + 37*T1^6*T2^10 + 
     478*T1^7*T2^10 - 861*T1^8*T2^10 + 478*T1^9*T2^10 + 37*T1^10*T2^10 - 
     146*T1^11*T2^10 + 36*T1^12*T2^10 - 14*T1^5*T2^11 + 80*T1^6*T2^11 - 
     146*T1^7*T2^11 + 88*T1^8*T2^11 + 88*T1^9*T2^11 - 146*T1^10*T2^11 + 
     80*T1^11*T2^11 - 14*T1^12*T2^11 + 2*T1^6*T2^12 - 14*T1^7*T2^12 + 
     36*T1^8*T2^12 - 50*T1^9*T2^12 + 36*T1^10*T2^12 - 14*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^6*T2^6)}, 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), 
   (1 - 7*T1 + 22*T1^2 - 42*T1^3 + 51*T1^4 - 42*T1^5 + 22*T1^6 - 7*T1^7 + 
     T1^8 - 7*T2 + 42*T1*T2 - 105*T1^2*T2 + 140*T1^3*T2 - 63*T1^4*T2 - 
     63*T1^5*T2 + 140*T1^6*T2 - 105*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 
     22*T2^2 - 105*T1*T2^2 + 162*T1^2*T2^2 + 7*T1^3*T2^2 - 480*T1^4*T2^2 + 
     692*T1^5*T2^2 - 480*T1^6*T2^2 + 7*T1^7*T2^2 + 162*T1^8*T2^2 - 
     105*T1^9*T2^2 + 22*T1^10*T2^2 - 42*T2^3 + 140*T1*T2^3 + 7*T1^2*T2^3 - 
     630*T1^3*T2^3 + 1363*T1^4*T2^3 - 629*T1^5*T2^3 - 629*T1^6*T2^3 + 
     1363*T1^7*T2^3 - 630*T1^8*T2^3 + 7*T1^9*T2^3 + 140*T1^10*T2^3 - 
     42*T1^11*T2^3 + 51*T2^4 - 63*T1*T2^4 - 480*T1^2*T2^4 + 1363*T1^3*T2^4 - 
     1334*T1^4*T2^4 - 1603*T1^5*T2^4 + 2870*T1^6*T2^4 - 1603*T1^7*T2^4 - 
     1334*T1^8*T2^4 + 1363*T1^9*T2^4 - 480*T1^10*T2^4 - 63*T1^11*T2^4 + 
     51*T1^12*T2^4 - 42*T2^5 - 63*T1*T2^5 + 692*T1^2*T2^5 - 629*T1^3*T2^5 - 
     1603*T1^4*T2^5 + 5816*T1^5*T2^5 - 2780*T1^6*T2^5 - 2780*T1^7*T2^5 + 
     5816*T1^8*T2^5 - 1603*T1^9*T2^5 - 629*T1^10*T2^5 + 692*T1^11*T2^5 - 
     63*T1^12*T2^5 - 42*T1^13*T2^5 + 22*T2^6 + 140*T1*T2^6 - 480*T1^2*T2^6 - 
     629*T1^3*T2^6 + 2870*T1^4*T2^6 - 2780*T1^5*T2^6 - 7765*T1^6*T2^6 + 
     12559*T1^7*T2^6 - 7765*T1^8*T2^6 - 2780*T1^9*T2^6 + 2870*T1^10*T2^6 - 
     629*T1^11*T2^6 - 480*T1^12*T2^6 + 140*T1^13*T2^6 + 22*T1^14*T2^6 - 
     7*T2^7 - 105*T1*T2^7 + 7*T1^2*T2^7 + 1363*T1^3*T2^7 - 1603*T1^4*T2^7 - 
     2780*T1^5*T2^7 + 12559*T1^6*T2^7 - 6296*T1^7*T2^7 - 6296*T1^8*T2^7 + 
     12559*T1^9*T2^7 - 2780*T1^10*T2^7 - 1603*T1^11*T2^7 + 1363*T1^12*T2^7 + 
     7*T1^13*T2^7 - 105*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 
     162*T1^2*T2^8 - 630*T1^3*T2^8 - 1334*T1^4*T2^8 + 5816*T1^5*T2^8 - 
     7765*T1^6*T2^8 - 6296*T1^7*T2^8 + 13116*T1^8*T2^8 - 6296*T1^9*T2^8 - 
     7765*T1^10*T2^8 + 5816*T1^11*T2^8 - 1334*T1^12*T2^8 - 630*T1^13*T2^8 + 
     162*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 
     105*T1^2*T2^9 + 7*T1^3*T2^9 + 1363*T1^4*T2^9 - 1603*T1^5*T2^9 - 
     2780*T1^6*T2^9 + 12559*T1^7*T2^9 - 6296*T1^8*T2^9 - 6296*T1^9*T2^9 + 
     12559*T1^10*T2^9 - 2780*T1^11*T2^9 - 1603*T1^12*T2^9 + 1363*T1^13*T2^9 + 
     7*T1^14*T2^9 - 105*T1^15*T2^9 - 7*T1^16*T2^9 + 22*T1^2*T2^10 + 
     140*T1^3*T2^10 - 480*T1^4*T2^10 - 629*T1^5*T2^10 + 2870*T1^6*T2^10 - 
     2780*T1^7*T2^10 - 7765*T1^8*T2^10 + 12559*T1^9*T2^10 - 
     7765*T1^10*T2^10 - 2780*T1^11*T2^10 + 2870*T1^12*T2^10 - 
     629*T1^13*T2^10 - 480*T1^14*T2^10 + 140*T1^15*T2^10 + 22*T1^16*T2^10 - 
     42*T1^3*T2^11 - 63*T1^4*T2^11 + 692*T1^5*T2^11 - 629*T1^6*T2^11 - 
     1603*T1^7*T2^11 + 5816*T1^8*T2^11 - 2780*T1^9*T2^11 - 2780*T1^10*T2^11 + 
     5816*T1^11*T2^11 - 1603*T1^12*T2^11 - 629*T1^13*T2^11 + 
     692*T1^14*T2^11 - 63*T1^15*T2^11 - 42*T1^16*T2^11 + 51*T1^4*T2^12 - 
     63*T1^5*T2^12 - 480*T1^6*T2^12 + 1363*T1^7*T2^12 - 1334*T1^8*T2^12 - 
     1603*T1^9*T2^12 + 2870*T1^10*T2^12 - 1603*T1^11*T2^12 - 
     1334*T1^12*T2^12 + 1363*T1^13*T2^12 - 480*T1^14*T2^12 - 63*T1^15*T2^12 + 
     51*T1^16*T2^12 - 42*T1^5*T2^13 + 140*T1^6*T2^13 + 7*T1^7*T2^13 - 
     630*T1^8*T2^13 + 1363*T1^9*T2^13 - 629*T1^10*T2^13 - 629*T1^11*T2^13 + 
     1363*T1^12*T2^13 - 630*T1^13*T2^13 + 7*T1^14*T2^13 + 140*T1^15*T2^13 - 
     42*T1^16*T2^13 + 22*T1^6*T2^14 - 105*T1^7*T2^14 + 162*T1^8*T2^14 + 
     7*T1^9*T2^14 - 480*T1^10*T2^14 + 692*T1^11*T2^14 - 480*T1^12*T2^14 + 
     7*T1^13*T2^14 + 162*T1^14*T2^14 - 105*T1^15*T2^14 + 22*T1^16*T2^14 - 
     7*T1^7*T2^15 + 42*T1^8*T2^15 - 105*T1^9*T2^15 + 140*T1^10*T2^15 - 
     63*T1^11*T2^15 - 63*T1^12*T2^15 + 140*T1^13*T2^15 - 105*T1^14*T2^15 + 
     42*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 
     22*T1^10*T2^16 - 42*T1^11*T2^16 + 51*T1^12*T2^16 - 42*T1^13*T2^16 + 
     22*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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)*
     (2 - 8*T1 + 10*T1^2 - 10*T1^3 + 10*T1^4 - 8*T1^5 + 2*T1^6 - 8*T2 + 
      24*T1*T2 - 8*T1^2*T2 - 8*T1^5*T2 + 24*T1^6*T2 - 8*T1^7*T2 + 10*T2^2 - 
      8*T1*T2^2 - 63*T1^2*T2^2 + 66*T1^3*T2^2 - 57*T1^4*T2^2 + 66*T1^5*T2^2 - 
      63*T1^6*T2^2 - 8*T1^7*T2^2 + 10*T1^8*T2^2 - 10*T2^3 + 66*T1^2*T2^3 - 
      10*T1^3*T2^3 - 6*T1^4*T2^3 - 6*T1^5*T2^3 - 10*T1^6*T2^3 + 
      66*T1^7*T2^3 - 10*T1^9*T2^3 + 10*T2^4 - 57*T1^2*T2^4 - 6*T1^3*T2^4 - 
      11*T1^4*T2^4 + 25*T1^5*T2^4 - 11*T1^6*T2^4 - 6*T1^7*T2^4 - 
      57*T1^8*T2^4 + 10*T1^10*T2^4 - 8*T2^5 - 8*T1*T2^5 + 66*T1^2*T2^5 - 
      6*T1^3*T2^5 + 25*T1^4*T2^5 - 12*T1^5*T2^5 - 12*T1^6*T2^5 + 
      25*T1^7*T2^5 - 6*T1^8*T2^5 + 66*T1^9*T2^5 - 8*T1^10*T2^5 - 
      8*T1^11*T2^5 + 2*T2^6 + 24*T1*T2^6 - 63*T1^2*T2^6 - 10*T1^3*T2^6 - 
      11*T1^4*T2^6 - 12*T1^5*T2^6 + 24*T1^6*T2^6 - 12*T1^7*T2^6 - 
      11*T1^8*T2^6 - 10*T1^9*T2^6 - 63*T1^10*T2^6 + 24*T1^11*T2^6 + 
      2*T1^12*T2^6 - 8*T1*T2^7 - 8*T1^2*T2^7 + 66*T1^3*T2^7 - 6*T1^4*T2^7 + 
      25*T1^5*T2^7 - 12*T1^6*T2^7 - 12*T1^7*T2^7 + 25*T1^8*T2^7 - 
      6*T1^9*T2^7 + 66*T1^10*T2^7 - 8*T1^11*T2^7 - 8*T1^12*T2^7 + 
      10*T1^2*T2^8 - 57*T1^4*T2^8 - 6*T1^5*T2^8 - 11*T1^6*T2^8 + 
      25*T1^7*T2^8 - 11*T1^8*T2^8 - 6*T1^9*T2^8 - 57*T1^10*T2^8 + 
      10*T1^12*T2^8 - 10*T1^3*T2^9 + 66*T1^5*T2^9 - 10*T1^6*T2^9 - 
      6*T1^7*T2^9 - 6*T1^8*T2^9 - 10*T1^9*T2^9 + 66*T1^10*T2^9 - 
      10*T1^12*T2^9 + 10*T1^4*T2^10 - 8*T1^5*T2^10 - 63*T1^6*T2^10 + 
      66*T1^7*T2^10 - 57*T1^8*T2^10 + 66*T1^9*T2^10 - 63*T1^10*T2^10 - 
      8*T1^11*T2^10 + 10*T1^12*T2^10 - 8*T1^5*T2^11 + 24*T1^6*T2^11 - 
      8*T1^7*T2^11 - 8*T1^10*T2^11 + 24*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))/(T1^8*T2^8)}, 
 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, 
   (1 - 3*T1 + T1^2 - T1^3 + T1^4 - 3*T1^5 + T1^6 - 3*T2 - 2*T1*T2 + 
     36*T1^2*T2 - 14*T1^3*T2 - 14*T1^4*T2 + 36*T1^5*T2 - 2*T1^6*T2 - 
     3*T1^7*T2 + T2^2 + 36*T1*T2^2 - 84*T1^2*T2^2 - 167*T1^3*T2^2 + 
     240*T1^4*T2^2 - 167*T1^5*T2^2 - 84*T1^6*T2^2 + 36*T1^7*T2^2 + 
     T1^8*T2^2 - T2^3 - 14*T1*T2^3 - 167*T1^2*T2^3 + 808*T1^3*T2^3 - 
     302*T1^4*T2^3 - 302*T1^5*T2^3 + 808*T1^6*T2^3 - 167*T1^7*T2^3 - 
     14*T1^8*T2^3 - T1^9*T2^3 + T2^4 - 14*T1*T2^4 + 240*T1^2*T2^4 - 
     302*T1^3*T2^4 - 1731*T1^4*T2^4 + 2103*T1^5*T2^4 - 1731*T1^6*T2^4 - 
     302*T1^7*T2^4 + 240*T1^8*T2^4 - 14*T1^9*T2^4 + T1^10*T2^4 - 3*T2^5 + 
     36*T1*T2^5 - 167*T1^2*T2^5 - 302*T1^3*T2^5 + 2103*T1^4*T2^5 - 
     432*T1^5*T2^5 - 432*T1^6*T2^5 + 2103*T1^7*T2^5 - 302*T1^8*T2^5 - 
     167*T1^9*T2^5 + 36*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 - 2*T1*T2^6 - 
     84*T1^2*T2^6 + 808*T1^3*T2^6 - 1731*T1^4*T2^6 - 432*T1^5*T2^6 - 
     24*T1^6*T2^6 - 432*T1^7*T2^6 - 1731*T1^8*T2^6 + 808*T1^9*T2^6 - 
     84*T1^10*T2^6 - 2*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 + 36*T1^2*T2^7 - 
     167*T1^3*T2^7 - 302*T1^4*T2^7 + 2103*T1^5*T2^7 - 432*T1^6*T2^7 - 
     432*T1^7*T2^7 + 2103*T1^8*T2^7 - 302*T1^9*T2^7 - 167*T1^10*T2^7 + 
     36*T1^11*T2^7 - 3*T1^12*T2^7 + T1^2*T2^8 - 14*T1^3*T2^8 + 
     240*T1^4*T2^8 - 302*T1^5*T2^8 - 1731*T1^6*T2^8 + 2103*T1^7*T2^8 - 
     1731*T1^8*T2^8 - 302*T1^9*T2^8 + 240*T1^10*T2^8 - 14*T1^11*T2^8 + 
     T1^12*T2^8 - T1^3*T2^9 - 14*T1^4*T2^9 - 167*T1^5*T2^9 + 808*T1^6*T2^9 - 
     302*T1^7*T2^9 - 302*T1^8*T2^9 + 808*T1^9*T2^9 - 167*T1^10*T2^9 - 
     14*T1^11*T2^9 - T1^12*T2^9 + T1^4*T2^10 + 36*T1^5*T2^10 - 
     84*T1^6*T2^10 - 167*T1^7*T2^10 + 240*T1^8*T2^10 - 167*T1^9*T2^10 - 
     84*T1^10*T2^10 + 36*T1^11*T2^10 + T1^12*T2^10 - 3*T1^5*T2^11 - 
     2*T1^6*T2^11 + 36*T1^7*T2^11 - 14*T1^8*T2^11 - 14*T1^9*T2^11 + 
     36*T1^10*T2^11 - 2*T1^11*T2^11 - 3*T1^12*T2^11 + 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 + 
     T1^12*T2^12)/(T1^6*T2^6)}, 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)*
     (9 - 40*T1 + 57*T1^2 - 40*T1^3 + 9*T1^4 - 40*T2 + 138*T1*T2 - 
      76*T1^2*T2 - 76*T1^3*T2 + 138*T1^4*T2 - 40*T1^5*T2 + 57*T2^2 - 
      76*T1*T2^2 - 327*T1^2*T2^2 + 551*T1^3*T2^2 - 327*T1^4*T2^2 - 
      76*T1^5*T2^2 + 57*T1^6*T2^2 - 40*T2^3 - 76*T1*T2^3 + 551*T1^2*T2^3 - 
      310*T1^3*T2^3 - 310*T1^4*T2^3 + 551*T1^5*T2^3 - 76*T1^6*T2^3 - 
      40*T1^7*T2^3 + 9*T2^4 + 138*T1*T2^4 - 327*T1^2*T2^4 - 310*T1^3*T2^4 + 
      684*T1^4*T2^4 - 310*T1^5*T2^4 - 327*T1^6*T2^4 + 138*T1^7*T2^4 + 
      9*T1^8*T2^4 - 40*T1*T2^5 - 76*T1^2*T2^5 + 551*T1^3*T2^5 - 
      310*T1^4*T2^5 - 310*T1^5*T2^5 + 551*T1^6*T2^5 - 76*T1^7*T2^5 - 
      40*T1^8*T2^5 + 57*T1^2*T2^6 - 76*T1^3*T2^6 - 327*T1^4*T2^6 + 
      551*T1^5*T2^6 - 327*T1^6*T2^6 - 76*T1^7*T2^6 + 57*T1^8*T2^6 - 
      40*T1^3*T2^7 + 138*T1^4*T2^7 - 76*T1^5*T2^7 - 76*T1^6*T2^7 + 
      138*T1^7*T2^7 - 40*T1^8*T2^7 + 9*T1^4*T2^8 - 40*T1^5*T2^8 + 
      57*T1^6*T2^8 - 40*T1^7*T2^8 + 9*T1^8*T2^8))/(T1^6*T2^6)}, 
 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 + 84*T1*T2 - 210*T1^2*T2 + 224*T1^3*T2 - 98*T1^4*T2 - 
      98*T1^5*T2 + 224*T1^6*T2 - 210*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
      44*T2^2 - 210*T1*T2^2 + 325*T1^2*T2^2 + 185*T1^3*T2^2 - 801*T1^4*T2^2 + 
      1099*T1^5*T2^2 - 801*T1^6*T2^2 + 185*T1^7*T2^2 + 325*T1^8*T2^2 - 
      210*T1^9*T2^2 + 44*T1^10*T2^2 - 76*T2^3 + 224*T1*T2^3 + 185*T1^2*T2^3 - 
      1850*T1^3*T2^3 + 2130*T1^4*T2^3 - 986*T1^5*T2^3 - 986*T1^6*T2^3 + 
      2130*T1^7*T2^3 - 1850*T1^8*T2^3 + 185*T1^9*T2^3 + 224*T1^10*T2^3 - 
      76*T1^11*T2^3 + 90*T2^4 - 98*T1*T2^4 - 801*T1^2*T2^4 + 2130*T1^3*T2^4 + 
      1342*T1^4*T2^4 - 5323*T1^5*T2^4 + 7382*T1^6*T2^4 - 5323*T1^7*T2^4 + 
      1342*T1^8*T2^4 + 2130*T1^9*T2^4 - 801*T1^10*T2^4 - 98*T1^11*T2^4 + 
      90*T1^12*T2^4 - 76*T2^5 - 98*T1*T2^5 + 1099*T1^2*T2^5 - 986*T1^3*T2^5 - 
      5323*T1^4*T2^5 + 6560*T1^5*T2^5 - 3282*T1^6*T2^5 - 3282*T1^7*T2^5 + 
      6560*T1^8*T2^5 - 5323*T1^9*T2^5 - 986*T1^10*T2^5 + 1099*T1^11*T2^5 - 
      98*T1^12*T2^5 - 76*T1^13*T2^5 + 44*T2^6 + 224*T1*T2^6 - 801*T1^2*T2^6 - 
      986*T1^3*T2^6 + 7382*T1^4*T2^6 - 3282*T1^5*T2^6 - 2099*T1^6*T2^6 + 
      5769*T1^7*T2^6 - 2099*T1^8*T2^6 - 3282*T1^9*T2^6 + 7382*T1^10*T2^6 - 
      986*T1^11*T2^6 - 801*T1^12*T2^6 + 224*T1^13*T2^6 + 44*T1^14*T2^6 - 
      14*T2^7 - 210*T1*T2^7 + 185*T1^2*T2^7 + 2130*T1^3*T2^7 - 
      5323*T1^4*T2^7 - 3282*T1^5*T2^7 + 5769*T1^6*T2^7 - 3640*T1^7*T2^7 - 
      3640*T1^8*T2^7 + 5769*T1^9*T2^7 - 3282*T1^10*T2^7 - 5323*T1^11*T2^7 + 
      2130*T1^12*T2^7 + 185*T1^13*T2^7 - 210*T1^14*T2^7 - 14*T1^15*T2^7 + 
      2*T2^8 + 84*T1*T2^8 + 325*T1^2*T2^8 - 1850*T1^3*T2^8 + 1342*T1^4*T2^8 + 
      6560*T1^5*T2^8 - 2099*T1^6*T2^8 - 3640*T1^7*T2^8 + 8100*T1^8*T2^8 - 
      3640*T1^9*T2^8 - 2099*T1^10*T2^8 + 6560*T1^11*T2^8 + 1342*T1^12*T2^8 - 
      1850*T1^13*T2^8 + 325*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 
      14*T1*T2^9 - 210*T1^2*T2^9 + 185*T1^3*T2^9 + 2130*T1^4*T2^9 - 
      5323*T1^5*T2^9 - 3282*T1^6*T2^9 + 5769*T1^7*T2^9 - 3640*T1^8*T2^9 - 
      3640*T1^9*T2^9 + 5769*T1^10*T2^9 - 3282*T1^11*T2^9 - 5323*T1^12*T2^9 + 
      2130*T1^13*T2^9 + 185*T1^14*T2^9 - 210*T1^15*T2^9 - 14*T1^16*T2^9 + 
      44*T1^2*T2^10 + 224*T1^3*T2^10 - 801*T1^4*T2^10 - 986*T1^5*T2^10 + 
      7382*T1^6*T2^10 - 3282*T1^7*T2^10 - 2099*T1^8*T2^10 + 5769*T1^9*T2^10 - 
      2099*T1^10*T2^10 - 3282*T1^11*T2^10 + 7382*T1^12*T2^10 - 
      986*T1^13*T2^10 - 801*T1^14*T2^10 + 224*T1^15*T2^10 + 44*T1^16*T2^10 - 
      76*T1^3*T2^11 - 98*T1^4*T2^11 + 1099*T1^5*T2^11 - 986*T1^6*T2^11 - 
      5323*T1^7*T2^11 + 6560*T1^8*T2^11 - 3282*T1^9*T2^11 - 
      3282*T1^10*T2^11 + 6560*T1^11*T2^11 - 5323*T1^12*T2^11 - 
      986*T1^13*T2^11 + 1099*T1^14*T2^11 - 98*T1^15*T2^11 - 76*T1^16*T2^11 + 
      90*T1^4*T2^12 - 98*T1^5*T2^12 - 801*T1^6*T2^12 + 2130*T1^7*T2^12 + 
      1342*T1^8*T2^12 - 5323*T1^9*T2^12 + 7382*T1^10*T2^12 - 
      5323*T1^11*T2^12 + 1342*T1^12*T2^12 + 2130*T1^13*T2^12 - 
      801*T1^14*T2^12 - 98*T1^15*T2^12 + 90*T1^16*T2^12 - 76*T1^5*T2^13 + 
      224*T1^6*T2^13 + 185*T1^7*T2^13 - 1850*T1^8*T2^13 + 2130*T1^9*T2^13 - 
      986*T1^10*T2^13 - 986*T1^11*T2^13 + 2130*T1^12*T2^13 - 
      1850*T1^13*T2^13 + 185*T1^14*T2^13 + 224*T1^15*T2^13 - 76*T1^16*T2^13 + 
      44*T1^6*T2^14 - 210*T1^7*T2^14 + 325*T1^8*T2^14 + 185*T1^9*T2^14 - 
      801*T1^10*T2^14 + 1099*T1^11*T2^14 - 801*T1^12*T2^14 + 
      185*T1^13*T2^14 + 325*T1^14*T2^14 - 210*T1^15*T2^14 + 44*T1^16*T2^14 - 
      14*T1^7*T2^15 + 84*T1^8*T2^15 - 210*T1^9*T2^15 + 224*T1^10*T2^15 - 
      98*T1^11*T2^15 - 98*T1^12*T2^15 + 224*T1^13*T2^15 - 210*T1^14*T2^15 + 
      84*T1^15*T2^15 - 14*T1^16*T2^15 + 2*T1^8*T2^16 - 14*T1^9*T2^16 + 
      44*T1^10*T2^16 - 76*T1^11*T2^16 + 90*T1^12*T2^16 - 76*T1^13*T2^16 + 
      44*T1^14*T2^16 - 14*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 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), 
   -((1 - 7*T1 + 22*T1^2 - 40*T1^3 + 47*T1^4 - 40*T1^5 + 22*T1^6 - 7*T1^7 + 
      T1^8 - 7*T2 + 42*T1*T2 - 105*T1^2*T2 + 126*T1^3*T2 - 49*T1^4*T2 - 
      49*T1^5*T2 + 126*T1^6*T2 - 105*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 
      22*T2^2 - 105*T1*T2^2 + 162*T1^2*T2^2 + 53*T1^3*T2^2 - 471*T1^4*T2^2 + 
      586*T1^5*T2^2 - 471*T1^6*T2^2 + 53*T1^7*T2^2 + 162*T1^8*T2^2 - 
      105*T1^9*T2^2 + 22*T1^10*T2^2 - 40*T2^3 + 126*T1*T2^3 + 53*T1^2*T2^3 - 
      806*T1^3*T2^3 + 1298*T1^4*T2^3 - 446*T1^5*T2^3 - 446*T1^6*T2^3 + 
      1298*T1^7*T2^3 - 806*T1^8*T2^3 + 53*T1^9*T2^3 + 126*T1^10*T2^3 - 
      40*T1^11*T2^3 + 47*T2^4 - 49*T1*T2^4 - 471*T1^2*T2^4 + 1298*T1^3*T2^4 - 
      396*T1^4*T2^4 - 2476*T1^5*T2^4 + 3086*T1^6*T2^4 - 2476*T1^7*T2^4 - 
      396*T1^8*T2^4 + 1298*T1^9*T2^4 - 471*T1^10*T2^4 - 49*T1^11*T2^4 + 
      47*T1^12*T2^4 - 40*T2^5 - 49*T1*T2^5 + 586*T1^2*T2^5 - 446*T1^3*T2^5 - 
      2476*T1^4*T2^5 + 5264*T1^5*T2^5 - 1849*T1^6*T2^5 - 1849*T1^7*T2^5 + 
      5264*T1^8*T2^5 - 2476*T1^9*T2^5 - 446*T1^10*T2^5 + 586*T1^11*T2^5 - 
      49*T1^12*T2^5 - 40*T1^13*T2^5 + 22*T2^6 + 126*T1*T2^6 - 471*T1^2*T2^6 - 
      446*T1^3*T2^6 + 3086*T1^4*T2^6 - 1849*T1^5*T2^6 - 6248*T1^6*T2^6 + 
      8592*T1^7*T2^6 - 6248*T1^8*T2^6 - 1849*T1^9*T2^6 + 3086*T1^10*T2^6 - 
      446*T1^11*T2^6 - 471*T1^12*T2^6 + 126*T1^13*T2^6 + 22*T1^14*T2^6 - 
      7*T2^7 - 105*T1*T2^7 + 53*T1^2*T2^7 + 1298*T1^3*T2^7 - 2476*T1^4*T2^7 - 
      1849*T1^5*T2^7 + 8592*T1^6*T2^7 - 3696*T1^7*T2^7 - 3696*T1^8*T2^7 + 
      8592*T1^9*T2^7 - 1849*T1^10*T2^7 - 2476*T1^11*T2^7 + 1298*T1^12*T2^7 + 
      53*T1^13*T2^7 - 105*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 
      162*T1^2*T2^8 - 806*T1^3*T2^8 - 396*T1^4*T2^8 + 5264*T1^5*T2^8 - 
      6248*T1^6*T2^8 - 3696*T1^7*T2^8 + 7524*T1^8*T2^8 - 3696*T1^9*T2^8 - 
      6248*T1^10*T2^8 + 5264*T1^11*T2^8 - 396*T1^12*T2^8 - 806*T1^13*T2^8 + 
      162*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 
      105*T1^2*T2^9 + 53*T1^3*T2^9 + 1298*T1^4*T2^9 - 2476*T1^5*T2^9 - 
      1849*T1^6*T2^9 + 8592*T1^7*T2^9 - 3696*T1^8*T2^9 - 3696*T1^9*T2^9 + 
      8592*T1^10*T2^9 - 1849*T1^11*T2^9 - 2476*T1^12*T2^9 + 1298*T1^13*T2^9 + 
      53*T1^14*T2^9 - 105*T1^15*T2^9 - 7*T1^16*T2^9 + 22*T1^2*T2^10 + 
      126*T1^3*T2^10 - 471*T1^4*T2^10 - 446*T1^5*T2^10 + 3086*T1^6*T2^10 - 
      1849*T1^7*T2^10 - 6248*T1^8*T2^10 + 8592*T1^9*T2^10 - 
      6248*T1^10*T2^10 - 1849*T1^11*T2^10 + 3086*T1^12*T2^10 - 
      446*T1^13*T2^10 - 471*T1^14*T2^10 + 126*T1^15*T2^10 + 22*T1^16*T2^10 - 
      40*T1^3*T2^11 - 49*T1^4*T2^11 + 586*T1^5*T2^11 - 446*T1^6*T2^11 - 
      2476*T1^7*T2^11 + 5264*T1^8*T2^11 - 1849*T1^9*T2^11 - 
      1849*T1^10*T2^11 + 5264*T1^11*T2^11 - 2476*T1^12*T2^11 - 
      446*T1^13*T2^11 + 586*T1^14*T2^11 - 49*T1^15*T2^11 - 40*T1^16*T2^11 + 
      47*T1^4*T2^12 - 49*T1^5*T2^12 - 471*T1^6*T2^12 + 1298*T1^7*T2^12 - 
      396*T1^8*T2^12 - 2476*T1^9*T2^12 + 3086*T1^10*T2^12 - 
      2476*T1^11*T2^12 - 396*T1^12*T2^12 + 1298*T1^13*T2^12 - 
      471*T1^14*T2^12 - 49*T1^15*T2^12 + 47*T1^16*T2^12 - 40*T1^5*T2^13 + 
      126*T1^6*T2^13 + 53*T1^7*T2^13 - 806*T1^8*T2^13 + 1298*T1^9*T2^13 - 
      446*T1^10*T2^13 - 446*T1^11*T2^13 + 1298*T1^12*T2^13 - 
      806*T1^13*T2^13 + 53*T1^14*T2^13 + 126*T1^15*T2^13 - 40*T1^16*T2^13 + 
      22*T1^6*T2^14 - 105*T1^7*T2^14 + 162*T1^8*T2^14 + 53*T1^9*T2^14 - 
      471*T1^10*T2^14 + 586*T1^11*T2^14 - 471*T1^12*T2^14 + 53*T1^13*T2^14 + 
      162*T1^14*T2^14 - 105*T1^15*T2^14 + 22*T1^16*T2^14 - 7*T1^7*T2^15 + 
      42*T1^8*T2^15 - 105*T1^9*T2^15 + 126*T1^10*T2^15 - 49*T1^11*T2^15 - 
      49*T1^12*T2^15 + 126*T1^13*T2^15 - 105*T1^14*T2^15 + 42*T1^15*T2^15 - 
      7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 22*T1^10*T2^16 - 
      40*T1^11*T2^16 + 47*T1^12*T2^16 - 40*T1^13*T2^16 + 22*T1^14*T2^16 - 
      7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 221] -> 
  {-(((-2 + 6*T - 4*T^2 + T^3)*(-1 + 4*T - 6*T^2 + 2*T^3))/T^3), 
   -((1 - 7*T1 + 21*T1^2 - 31*T1^3 + 21*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 98*T1^2*T2 + 70*T1^3*T2 + 70*T1^4*T2 - 98*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 21*T2^2 - 98*T1*T2^2 + 125*T1^2*T2^2 + 
      211*T1^3*T2^2 - 613*T1^4*T2^2 + 211*T1^5*T2^2 + 125*T1^6*T2^2 - 
      98*T1^7*T2^2 + 21*T1^8*T2^2 - 31*T2^3 + 70*T1*T2^3 + 211*T1^2*T2^3 - 
      1092*T1^3*T2^3 + 1040*T1^4*T2^3 + 1040*T1^5*T2^3 - 1092*T1^6*T2^3 + 
      211*T1^7*T2^3 + 70*T1^8*T2^3 - 31*T1^9*T2^3 + 21*T2^4 + 70*T1*T2^4 - 
      613*T1^2*T2^4 + 1040*T1^3*T2^4 + 1434*T1^4*T2^4 - 4982*T1^5*T2^4 + 
      1434*T1^6*T2^4 + 1040*T1^7*T2^4 - 613*T1^8*T2^4 + 70*T1^9*T2^4 + 
      21*T1^10*T2^4 - 7*T2^5 - 98*T1*T2^5 + 211*T1^2*T2^5 + 1040*T1^3*T2^5 - 
      4982*T1^4*T2^5 + 4814*T1^5*T2^5 + 4814*T1^6*T2^5 - 4982*T1^7*T2^5 + 
      1040*T1^8*T2^5 + 211*T1^9*T2^5 - 98*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 + 125*T1^2*T2^6 - 1092*T1^3*T2^6 + 1434*T1^4*T2^6 + 
      4814*T1^5*T2^6 - 13032*T1^6*T2^6 + 4814*T1^7*T2^6 + 1434*T1^8*T2^6 - 
      1092*T1^9*T2^6 + 125*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 98*T1^2*T2^7 + 211*T1^3*T2^7 + 1040*T1^4*T2^7 - 
      4982*T1^5*T2^7 + 4814*T1^6*T2^7 + 4814*T1^7*T2^7 - 4982*T1^8*T2^7 + 
      1040*T1^9*T2^7 + 211*T1^10*T2^7 - 98*T1^11*T2^7 - 7*T1^12*T2^7 + 
      21*T1^2*T2^8 + 70*T1^3*T2^8 - 613*T1^4*T2^8 + 1040*T1^5*T2^8 + 
      1434*T1^6*T2^8 - 4982*T1^7*T2^8 + 1434*T1^8*T2^8 + 1040*T1^9*T2^8 - 
      613*T1^10*T2^8 + 70*T1^11*T2^8 + 21*T1^12*T2^8 - 31*T1^3*T2^9 + 
      70*T1^4*T2^9 + 211*T1^5*T2^9 - 1092*T1^6*T2^9 + 1040*T1^7*T2^9 + 
      1040*T1^8*T2^9 - 1092*T1^9*T2^9 + 211*T1^10*T2^9 + 70*T1^11*T2^9 - 
      31*T1^12*T2^9 + 21*T1^4*T2^10 - 98*T1^5*T2^10 + 125*T1^6*T2^10 + 
      211*T1^7*T2^10 - 613*T1^8*T2^10 + 211*T1^9*T2^10 + 125*T1^10*T2^10 - 
      98*T1^11*T2^10 + 21*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      98*T1^7*T2^11 + 70*T1^8*T2^11 + 70*T1^9*T2^11 - 98*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      21*T1^8*T2^12 - 31*T1^9*T2^12 + 21*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   (1 - 3*T1 - T1^2 + 7*T1^3 - T1^4 - 3*T1^5 + T1^6 - 3*T2 - 6*T1*T2 + 
     59*T1^2*T2 - 55*T1^3*T2 - 55*T1^4*T2 + 59*T1^5*T2 - 6*T1^6*T2 - 
     3*T1^7*T2 - T2^2 + 59*T1*T2^2 - 133*T1^2*T2^2 - 198*T1^3*T2^2 + 
     585*T1^4*T2^2 - 198*T1^5*T2^2 - 133*T1^6*T2^2 + 59*T1^7*T2^2 - 
     T1^8*T2^2 + 7*T2^3 - 55*T1*T2^3 - 198*T1^2*T2^3 + 1146*T1^3*T2^3 - 
     935*T1^4*T2^3 - 935*T1^5*T2^3 + 1146*T1^6*T2^3 - 198*T1^7*T2^3 - 
     55*T1^8*T2^3 + 7*T1^9*T2^3 - T2^4 - 55*T1*T2^4 + 585*T1^2*T2^4 - 
     935*T1^3*T2^4 - 1577*T1^4*T2^4 + 4001*T1^5*T2^4 - 1577*T1^6*T2^4 - 
     935*T1^7*T2^4 + 585*T1^8*T2^4 - 55*T1^9*T2^4 - T1^10*T2^4 - 3*T2^5 + 
     59*T1*T2^5 - 198*T1^2*T2^5 - 935*T1^3*T2^5 + 4001*T1^4*T2^5 - 
     2884*T1^5*T2^5 - 2884*T1^6*T2^5 + 4001*T1^7*T2^5 - 935*T1^8*T2^5 - 
     198*T1^9*T2^5 + 59*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 - 6*T1*T2^6 - 
     133*T1^2*T2^6 + 1146*T1^3*T2^6 - 1577*T1^4*T2^6 - 2884*T1^5*T2^6 + 
     6756*T1^6*T2^6 - 2884*T1^7*T2^6 - 1577*T1^8*T2^6 + 1146*T1^9*T2^6 - 
     133*T1^10*T2^6 - 6*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 + 59*T1^2*T2^7 - 
     198*T1^3*T2^7 - 935*T1^4*T2^7 + 4001*T1^5*T2^7 - 2884*T1^6*T2^7 - 
     2884*T1^7*T2^7 + 4001*T1^8*T2^7 - 935*T1^9*T2^7 - 198*T1^10*T2^7 + 
     59*T1^11*T2^7 - 3*T1^12*T2^7 - T1^2*T2^8 - 55*T1^3*T2^8 + 
     585*T1^4*T2^8 - 935*T1^5*T2^8 - 1577*T1^6*T2^8 + 4001*T1^7*T2^8 - 
     1577*T1^8*T2^8 - 935*T1^9*T2^8 + 585*T1^10*T2^8 - 55*T1^11*T2^8 - 
     T1^12*T2^8 + 7*T1^3*T2^9 - 55*T1^4*T2^9 - 198*T1^5*T2^9 + 
     1146*T1^6*T2^9 - 935*T1^7*T2^9 - 935*T1^8*T2^9 + 1146*T1^9*T2^9 - 
     198*T1^10*T2^9 - 55*T1^11*T2^9 + 7*T1^12*T2^9 - T1^4*T2^10 + 
     59*T1^5*T2^10 - 133*T1^6*T2^10 - 198*T1^7*T2^10 + 585*T1^8*T2^10 - 
     198*T1^9*T2^10 - 133*T1^10*T2^10 + 59*T1^11*T2^10 - T1^12*T2^10 - 
     3*T1^5*T2^11 - 6*T1^6*T2^11 + 59*T1^7*T2^11 - 55*T1^8*T2^11 - 
     55*T1^9*T2^11 + 59*T1^10*T2^11 - 6*T1^11*T2^11 - 3*T1^12*T2^11 + 
     T1^6*T2^12 - 3*T1^7*T2^12 - T1^8*T2^12 + 7*T1^9*T2^12 - T1^10*T2^12 - 
     3*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 223] -> 
  {-((3 - 18*T + 44*T^2 - 59*T^3 + 44*T^4 - 18*T^5 + 3*T^6)/T^3), 
   (3 - 21*T1 + 59*T1^2 - 85*T1^3 + 59*T1^4 - 21*T1^5 + 3*T1^6 - 21*T2 + 
     124*T1*T2 - 258*T1^2*T2 + 174*T1^3*T2 + 174*T1^4*T2 - 258*T1^5*T2 + 
     124*T1^6*T2 - 21*T1^7*T2 + 59*T2^2 - 258*T1*T2^2 + 181*T1^2*T2^2 + 
     696*T1^3*T2^2 - 1601*T1^4*T2^2 + 696*T1^5*T2^2 + 181*T1^6*T2^2 - 
     258*T1^7*T2^2 + 59*T1^8*T2^2 - 85*T2^3 + 174*T1*T2^3 + 696*T1^2*T2^3 - 
     2222*T1^3*T2^3 + 1938*T1^4*T2^3 + 1938*T1^5*T2^3 - 2222*T1^6*T2^3 + 
     696*T1^7*T2^3 + 174*T1^8*T2^3 - 85*T1^9*T2^3 + 59*T2^4 + 174*T1*T2^4 - 
     1601*T1^2*T2^4 + 1938*T1^3*T2^4 + 930*T1^4*T2^4 - 5706*T1^5*T2^4 + 
     930*T1^6*T2^4 + 1938*T1^7*T2^4 - 1601*T1^8*T2^4 + 174*T1^9*T2^4 + 
     59*T1^10*T2^4 - 21*T2^5 - 258*T1*T2^5 + 696*T1^2*T2^5 + 1938*T1^3*T2^5 - 
     5706*T1^4*T2^5 + 5792*T1^5*T2^5 + 5792*T1^6*T2^5 - 5706*T1^7*T2^5 + 
     1938*T1^8*T2^5 + 696*T1^9*T2^5 - 258*T1^10*T2^5 - 21*T1^11*T2^5 + 
     3*T2^6 + 124*T1*T2^6 + 181*T1^2*T2^6 - 2222*T1^3*T2^6 + 930*T1^4*T2^6 + 
     5792*T1^5*T2^6 - 15552*T1^6*T2^6 + 5792*T1^7*T2^6 + 930*T1^8*T2^6 - 
     2222*T1^9*T2^6 + 181*T1^10*T2^6 + 124*T1^11*T2^6 + 3*T1^12*T2^6 - 
     21*T1*T2^7 - 258*T1^2*T2^7 + 696*T1^3*T2^7 + 1938*T1^4*T2^7 - 
     5706*T1^5*T2^7 + 5792*T1^6*T2^7 + 5792*T1^7*T2^7 - 5706*T1^8*T2^7 + 
     1938*T1^9*T2^7 + 696*T1^10*T2^7 - 258*T1^11*T2^7 - 21*T1^12*T2^7 + 
     59*T1^2*T2^8 + 174*T1^3*T2^8 - 1601*T1^4*T2^8 + 1938*T1^5*T2^8 + 
     930*T1^6*T2^8 - 5706*T1^7*T2^8 + 930*T1^8*T2^8 + 1938*T1^9*T2^8 - 
     1601*T1^10*T2^8 + 174*T1^11*T2^8 + 59*T1^12*T2^8 - 85*T1^3*T2^9 + 
     174*T1^4*T2^9 + 696*T1^5*T2^9 - 2222*T1^6*T2^9 + 1938*T1^7*T2^9 + 
     1938*T1^8*T2^9 - 2222*T1^9*T2^9 + 696*T1^10*T2^9 + 174*T1^11*T2^9 - 
     85*T1^12*T2^9 + 59*T1^4*T2^10 - 258*T1^5*T2^10 + 181*T1^6*T2^10 + 
     696*T1^7*T2^10 - 1601*T1^8*T2^10 + 696*T1^9*T2^10 + 181*T1^10*T2^10 - 
     258*T1^11*T2^10 + 59*T1^12*T2^10 - 21*T1^5*T2^11 + 124*T1^6*T2^11 - 
     258*T1^7*T2^11 + 174*T1^8*T2^11 + 174*T1^9*T2^11 - 258*T1^10*T2^11 + 
     124*T1^11*T2^11 - 21*T1^12*T2^11 + 3*T1^6*T2^12 - 21*T1^7*T2^12 + 
     59*T1^8*T2^12 - 85*T1^9*T2^12 + 59*T1^10*T2^12 - 21*T1^11*T2^12 + 
     3*T1^12*T2^12)/(T1^6*T2^6)}, 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), 
   -((1 - 8*T1 + 27*T1^2 - 50*T1^3 + 59*T1^4 - 50*T1^5 + 27*T1^6 - 8*T1^7 + 
      T1^8 - 8*T2 + 56*T1*T2 - 152*T1^2*T2 + 184*T1^3*T2 - 72*T1^4*T2 - 
      72*T1^5*T2 + 184*T1^6*T2 - 152*T1^7*T2 + 56*T1^8*T2 - 8*T1^9*T2 + 
      27*T2^2 - 152*T1*T2^2 + 243*T1^2*T2^2 + 168*T1^3*T2^2 - 897*T1^4*T2^2 + 
      1107*T1^5*T2^2 - 897*T1^6*T2^2 + 168*T1^7*T2^2 + 243*T1^8*T2^2 - 
      152*T1^9*T2^2 + 27*T1^10*T2^2 - 50*T2^3 + 184*T1*T2^3 + 168*T1^2*T2^3 - 
      1680*T1^3*T2^3 + 2486*T1^4*T2^3 - 863*T1^5*T2^3 - 863*T1^6*T2^3 + 
      2486*T1^7*T2^3 - 1680*T1^8*T2^3 + 168*T1^9*T2^3 + 184*T1^10*T2^3 - 
      50*T1^11*T2^3 + 59*T2^4 - 72*T1*T2^4 - 897*T1^2*T2^4 + 2486*T1^3*T2^4 - 
      119*T1^4*T2^4 - 5482*T1^5*T2^4 + 6663*T1^6*T2^4 - 5482*T1^7*T2^4 - 
      119*T1^8*T2^4 + 2486*T1^9*T2^4 - 897*T1^10*T2^4 - 72*T1^11*T2^4 + 
      59*T1^12*T2^4 - 50*T2^5 - 72*T1*T2^5 + 1107*T1^2*T2^5 - 863*T1^3*T2^5 - 
      5482*T1^4*T2^5 + 10118*T1^5*T2^5 - 3358*T1^6*T2^5 - 3358*T1^7*T2^5 + 
      10118*T1^8*T2^5 - 5482*T1^9*T2^5 - 863*T1^10*T2^5 + 1107*T1^11*T2^5 - 
      72*T1^12*T2^5 - 50*T1^13*T2^5 + 27*T2^6 + 184*T1*T2^6 - 897*T1^2*T2^6 - 
      863*T1^3*T2^6 + 6663*T1^4*T2^6 - 3358*T1^5*T2^6 - 11097*T1^6*T2^6 + 
      14393*T1^7*T2^6 - 11097*T1^8*T2^6 - 3358*T1^9*T2^6 + 6663*T1^10*T2^6 - 
      863*T1^11*T2^6 - 897*T1^12*T2^6 + 184*T1^13*T2^6 + 27*T1^14*T2^6 - 
      8*T2^7 - 152*T1*T2^7 + 168*T1^2*T2^7 + 2486*T1^3*T2^7 - 
      5482*T1^4*T2^7 - 3358*T1^5*T2^7 + 14393*T1^6*T2^7 - 5388*T1^7*T2^7 - 
      5388*T1^8*T2^7 + 14393*T1^9*T2^7 - 3358*T1^10*T2^7 - 5482*T1^11*T2^7 + 
      2486*T1^12*T2^7 + 168*T1^13*T2^7 - 152*T1^14*T2^7 - 8*T1^15*T2^7 + 
      T2^8 + 56*T1*T2^8 + 243*T1^2*T2^8 - 1680*T1^3*T2^8 - 119*T1^4*T2^8 + 
      10118*T1^5*T2^8 - 11097*T1^6*T2^8 - 5388*T1^7*T2^8 + 10068*T1^8*T2^8 - 
      5388*T1^9*T2^8 - 11097*T1^10*T2^8 + 10118*T1^11*T2^8 - 119*T1^12*T2^8 - 
      1680*T1^13*T2^8 + 243*T1^14*T2^8 + 56*T1^15*T2^8 + T1^16*T2^8 - 
      8*T1*T2^9 - 152*T1^2*T2^9 + 168*T1^3*T2^9 + 2486*T1^4*T2^9 - 
      5482*T1^5*T2^9 - 3358*T1^6*T2^9 + 14393*T1^7*T2^9 - 5388*T1^8*T2^9 - 
      5388*T1^9*T2^9 + 14393*T1^10*T2^9 - 3358*T1^11*T2^9 - 5482*T1^12*T2^9 + 
      2486*T1^13*T2^9 + 168*T1^14*T2^9 - 152*T1^15*T2^9 - 8*T1^16*T2^9 + 
      27*T1^2*T2^10 + 184*T1^3*T2^10 - 897*T1^4*T2^10 - 863*T1^5*T2^10 + 
      6663*T1^6*T2^10 - 3358*T1^7*T2^10 - 11097*T1^8*T2^10 + 
      14393*T1^9*T2^10 - 11097*T1^10*T2^10 - 3358*T1^11*T2^10 + 
      6663*T1^12*T2^10 - 863*T1^13*T2^10 - 897*T1^14*T2^10 + 
      184*T1^15*T2^10 + 27*T1^16*T2^10 - 50*T1^3*T2^11 - 72*T1^4*T2^11 + 
      1107*T1^5*T2^11 - 863*T1^6*T2^11 - 5482*T1^7*T2^11 + 10118*T1^8*T2^11 - 
      3358*T1^9*T2^11 - 3358*T1^10*T2^11 + 10118*T1^11*T2^11 - 
      5482*T1^12*T2^11 - 863*T1^13*T2^11 + 1107*T1^14*T2^11 - 
      72*T1^15*T2^11 - 50*T1^16*T2^11 + 59*T1^4*T2^12 - 72*T1^5*T2^12 - 
      897*T1^6*T2^12 + 2486*T1^7*T2^12 - 119*T1^8*T2^12 - 5482*T1^9*T2^12 + 
      6663*T1^10*T2^12 - 5482*T1^11*T2^12 - 119*T1^12*T2^12 + 
      2486*T1^13*T2^12 - 897*T1^14*T2^12 - 72*T1^15*T2^12 + 59*T1^16*T2^12 - 
      50*T1^5*T2^13 + 184*T1^6*T2^13 + 168*T1^7*T2^13 - 1680*T1^8*T2^13 + 
      2486*T1^9*T2^13 - 863*T1^10*T2^13 - 863*T1^11*T2^13 + 
      2486*T1^12*T2^13 - 1680*T1^13*T2^13 + 168*T1^14*T2^13 + 
      184*T1^15*T2^13 - 50*T1^16*T2^13 + 27*T1^6*T2^14 - 152*T1^7*T2^14 + 
      243*T1^8*T2^14 + 168*T1^9*T2^14 - 897*T1^10*T2^14 + 1107*T1^11*T2^14 - 
      897*T1^12*T2^14 + 168*T1^13*T2^14 + 243*T1^14*T2^14 - 152*T1^15*T2^14 + 
      27*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 152*T1^9*T2^15 + 
      184*T1^10*T2^15 - 72*T1^11*T2^15 - 72*T1^12*T2^15 + 184*T1^13*T2^15 - 
      152*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
      8*T1^9*T2^16 + 27*T1^10*T2^16 - 50*T1^11*T2^16 + 59*T1^12*T2^16 - 
      50*T1^13*T2^16 + 27*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, 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), (1 - 7*T1 + 24*T1^2 - 50*T1^3 + 63*T1^4 - 50*T1^5 + 24*T1^6 - 
     7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 119*T1^2*T2 + 182*T1^3*T2 - 
     91*T1^4*T2 - 91*T1^5*T2 + 182*T1^6*T2 - 119*T1^7*T2 + 42*T1^8*T2 - 
     7*T1^9*T2 + 24*T2^2 - 119*T1*T2^2 + 256*T1^2*T2^2 - 187*T1^3*T2^2 - 
     381*T1^4*T2^2 + 716*T1^5*T2^2 - 381*T1^6*T2^2 - 187*T1^7*T2^2 + 
     256*T1^8*T2^2 - 119*T1^9*T2^2 + 24*T1^10*T2^2 - 50*T2^3 + 182*T1*T2^3 - 
     187*T1^2*T2^3 - 426*T1^3*T2^3 + 1638*T1^4*T2^3 - 934*T1^5*T2^3 - 
     934*T1^6*T2^3 + 1638*T1^7*T2^3 - 426*T1^8*T2^3 - 187*T1^9*T2^3 + 
     182*T1^10*T2^3 - 50*T1^11*T2^3 + 63*T2^4 - 91*T1*T2^4 - 381*T1^2*T2^4 + 
     1638*T1^3*T2^4 - 2265*T1^4*T2^4 - 1944*T1^5*T2^4 + 4515*T1^6*T2^4 - 
     1944*T1^7*T2^4 - 2265*T1^8*T2^4 + 1638*T1^9*T2^4 - 381*T1^10*T2^4 - 
     91*T1^11*T2^4 + 63*T1^12*T2^4 - 50*T2^5 - 91*T1*T2^5 + 716*T1^2*T2^5 - 
     934*T1^3*T2^5 - 1944*T1^4*T2^5 + 9452*T1^5*T2^5 - 5406*T1^6*T2^5 - 
     5406*T1^7*T2^5 + 9452*T1^8*T2^5 - 1944*T1^9*T2^5 - 934*T1^10*T2^5 + 
     716*T1^11*T2^5 - 91*T1^12*T2^5 - 50*T1^13*T2^5 + 24*T2^6 + 182*T1*T2^6 - 
     381*T1^2*T2^6 - 934*T1^3*T2^6 + 4515*T1^4*T2^6 - 5406*T1^5*T2^6 - 
     13509*T1^6*T2^6 + 24587*T1^7*T2^6 - 13509*T1^8*T2^6 - 5406*T1^9*T2^6 + 
     4515*T1^10*T2^6 - 934*T1^11*T2^6 - 381*T1^12*T2^6 + 182*T1^13*T2^6 + 
     24*T1^14*T2^6 - 7*T2^7 - 119*T1*T2^7 - 187*T1^2*T2^7 + 1638*T1^3*T2^7 - 
     1944*T1^4*T2^7 - 5406*T1^5*T2^7 + 24587*T1^6*T2^7 - 13952*T1^7*T2^7 - 
     13952*T1^8*T2^7 + 24587*T1^9*T2^7 - 5406*T1^10*T2^7 - 1944*T1^11*T2^7 + 
     1638*T1^12*T2^7 - 187*T1^13*T2^7 - 119*T1^14*T2^7 - 7*T1^15*T2^7 + 
     T2^8 + 42*T1*T2^8 + 256*T1^2*T2^8 - 426*T1^3*T2^8 - 2265*T1^4*T2^8 + 
     9452*T1^5*T2^8 - 13509*T1^6*T2^8 - 13952*T1^7*T2^8 + 30420*T1^8*T2^8 - 
     13952*T1^9*T2^8 - 13509*T1^10*T2^8 + 9452*T1^11*T2^8 - 2265*T1^12*T2^8 - 
     426*T1^13*T2^8 + 256*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 
     7*T1*T2^9 - 119*T1^2*T2^9 - 187*T1^3*T2^9 + 1638*T1^4*T2^9 - 
     1944*T1^5*T2^9 - 5406*T1^6*T2^9 + 24587*T1^7*T2^9 - 13952*T1^8*T2^9 - 
     13952*T1^9*T2^9 + 24587*T1^10*T2^9 - 5406*T1^11*T2^9 - 1944*T1^12*T2^9 + 
     1638*T1^13*T2^9 - 187*T1^14*T2^9 - 119*T1^15*T2^9 - 7*T1^16*T2^9 + 
     24*T1^2*T2^10 + 182*T1^3*T2^10 - 381*T1^4*T2^10 - 934*T1^5*T2^10 + 
     4515*T1^6*T2^10 - 5406*T1^7*T2^10 - 13509*T1^8*T2^10 + 
     24587*T1^9*T2^10 - 13509*T1^10*T2^10 - 5406*T1^11*T2^10 + 
     4515*T1^12*T2^10 - 934*T1^13*T2^10 - 381*T1^14*T2^10 + 182*T1^15*T2^10 + 
     24*T1^16*T2^10 - 50*T1^3*T2^11 - 91*T1^4*T2^11 + 716*T1^5*T2^11 - 
     934*T1^6*T2^11 - 1944*T1^7*T2^11 + 9452*T1^8*T2^11 - 5406*T1^9*T2^11 - 
     5406*T1^10*T2^11 + 9452*T1^11*T2^11 - 1944*T1^12*T2^11 - 
     934*T1^13*T2^11 + 716*T1^14*T2^11 - 91*T1^15*T2^11 - 50*T1^16*T2^11 + 
     63*T1^4*T2^12 - 91*T1^5*T2^12 - 381*T1^6*T2^12 + 1638*T1^7*T2^12 - 
     2265*T1^8*T2^12 - 1944*T1^9*T2^12 + 4515*T1^10*T2^12 - 
     1944*T1^11*T2^12 - 2265*T1^12*T2^12 + 1638*T1^13*T2^12 - 
     381*T1^14*T2^12 - 91*T1^15*T2^12 + 63*T1^16*T2^12 - 50*T1^5*T2^13 + 
     182*T1^6*T2^13 - 187*T1^7*T2^13 - 426*T1^8*T2^13 + 1638*T1^9*T2^13 - 
     934*T1^10*T2^13 - 934*T1^11*T2^13 + 1638*T1^12*T2^13 - 426*T1^13*T2^13 - 
     187*T1^14*T2^13 + 182*T1^15*T2^13 - 50*T1^16*T2^13 + 24*T1^6*T2^14 - 
     119*T1^7*T2^14 + 256*T1^8*T2^14 - 187*T1^9*T2^14 - 381*T1^10*T2^14 + 
     716*T1^11*T2^14 - 381*T1^12*T2^14 - 187*T1^13*T2^14 + 256*T1^14*T2^14 - 
     119*T1^15*T2^14 + 24*T1^16*T2^14 - 7*T1^7*T2^15 + 42*T1^8*T2^15 - 
     119*T1^9*T2^15 + 182*T1^10*T2^15 - 91*T1^11*T2^15 - 91*T1^12*T2^15 + 
     182*T1^13*T2^15 - 119*T1^14*T2^15 + 42*T1^15*T2^15 - 7*T1^16*T2^15 + 
     T1^8*T2^16 - 7*T1^9*T2^16 + 24*T1^10*T2^16 - 50*T1^11*T2^16 + 
     63*T1^12*T2^16 - 50*T1^13*T2^16 + 24*T1^14*T2^16 - 7*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, Knot[12, Alternating, 226] -> 
  {-((4 - 20*T + 41*T^2 - 51*T^3 + 41*T^4 - 20*T^5 + 4*T^6)/T^3), 
   (-2*(72 - 352*T1 + 706*T1^2 - 872*T1^3 + 706*T1^4 - 352*T1^5 + 72*T1^6 - 
      352*T2 + 1376*T1*T2 - 1752*T1^2*T2 + 824*T1^3*T2 + 824*T1^4*T2 - 
      1752*T1^5*T2 + 1376*T1^6*T2 - 352*T1^7*T2 + 706*T2^2 - 1752*T1*T2^2 - 
      762*T1^2*T2^2 + 5022*T1^3*T2^2 - 7256*T1^4*T2^2 + 5022*T1^5*T2^2 - 
      762*T1^6*T2^2 - 1752*T1^7*T2^2 + 706*T1^8*T2^2 - 872*T2^3 + 
      824*T1*T2^3 + 5022*T1^2*T2^3 - 7922*T1^3*T2^3 + 4050*T1^4*T2^3 + 
      4050*T1^5*T2^3 - 7922*T1^6*T2^3 + 5022*T1^7*T2^3 + 824*T1^8*T2^3 - 
      872*T1^9*T2^3 + 706*T2^4 + 824*T1*T2^4 - 7256*T1^2*T2^4 + 
      4050*T1^3*T2^4 + 4366*T1^4*T2^4 - 9531*T1^5*T2^4 + 4366*T1^6*T2^4 + 
      4050*T1^7*T2^4 - 7256*T1^8*T2^4 + 824*T1^9*T2^4 + 706*T1^10*T2^4 - 
      352*T2^5 - 1752*T1*T2^5 + 5022*T1^2*T2^5 + 4050*T1^3*T2^5 - 
      9531*T1^4*T2^5 + 5528*T1^5*T2^5 + 5528*T1^6*T2^5 - 9531*T1^7*T2^5 + 
      4050*T1^8*T2^5 + 5022*T1^9*T2^5 - 1752*T1^10*T2^5 - 352*T1^11*T2^5 + 
      72*T2^6 + 1376*T1*T2^6 - 762*T1^2*T2^6 - 7922*T1^3*T2^6 + 
      4366*T1^4*T2^6 + 5528*T1^5*T2^6 - 11970*T1^6*T2^6 + 5528*T1^7*T2^6 + 
      4366*T1^8*T2^6 - 7922*T1^9*T2^6 - 762*T1^10*T2^6 + 1376*T1^11*T2^6 + 
      72*T1^12*T2^6 - 352*T1*T2^7 - 1752*T1^2*T2^7 + 5022*T1^3*T2^7 + 
      4050*T1^4*T2^7 - 9531*T1^5*T2^7 + 5528*T1^6*T2^7 + 5528*T1^7*T2^7 - 
      9531*T1^8*T2^7 + 4050*T1^9*T2^7 + 5022*T1^10*T2^7 - 1752*T1^11*T2^7 - 
      352*T1^12*T2^7 + 706*T1^2*T2^8 + 824*T1^3*T2^8 - 7256*T1^4*T2^8 + 
      4050*T1^5*T2^8 + 4366*T1^6*T2^8 - 9531*T1^7*T2^8 + 4366*T1^8*T2^8 + 
      4050*T1^9*T2^8 - 7256*T1^10*T2^8 + 824*T1^11*T2^8 + 706*T1^12*T2^8 - 
      872*T1^3*T2^9 + 824*T1^4*T2^9 + 5022*T1^5*T2^9 - 7922*T1^6*T2^9 + 
      4050*T1^7*T2^9 + 4050*T1^8*T2^9 - 7922*T1^9*T2^9 + 5022*T1^10*T2^9 + 
      824*T1^11*T2^9 - 872*T1^12*T2^9 + 706*T1^4*T2^10 - 1752*T1^5*T2^10 - 
      762*T1^6*T2^10 + 5022*T1^7*T2^10 - 7256*T1^8*T2^10 + 5022*T1^9*T2^10 - 
      762*T1^10*T2^10 - 1752*T1^11*T2^10 + 706*T1^12*T2^10 - 352*T1^5*T2^11 + 
      1376*T1^6*T2^11 - 1752*T1^7*T2^11 + 824*T1^8*T2^11 + 824*T1^9*T2^11 - 
      1752*T1^10*T2^11 + 1376*T1^11*T2^11 - 352*T1^12*T2^11 + 72*T1^6*T2^12 - 
      352*T1^7*T2^12 + 706*T1^8*T2^12 - 872*T1^9*T2^12 + 706*T1^10*T2^12 - 
      352*T1^11*T2^12 + 72*T1^12*T2^12))/(T1^6*T2^6)}, 
 Knot[12, Alternating, 227] -> 
  {-((5 - 26*T + 56*T^2 - 71*T^3 + 56*T^4 - 26*T^5 + 5*T^6)/T^3), 
   -((270 - 1375*T1 + 2905*T1^2 - 3662*T1^3 + 2905*T1^4 - 1375*T1^5 + 
      270*T1^6 - 1375*T2 + 5654*T1*T2 - 7873*T1^2*T2 + 3904*T1^3*T2 + 
      3904*T1^4*T2 - 7873*T1^5*T2 + 5654*T1^6*T2 - 1375*T1^7*T2 + 2905*T2^2 - 
      7873*T1*T2^2 - 1427*T1^2*T2^2 + 21770*T1^3*T2^2 - 33547*T1^4*T2^2 + 
      21770*T1^5*T2^2 - 1427*T1^6*T2^2 - 7873*T1^7*T2^2 + 2905*T1^8*T2^2 - 
      3662*T2^3 + 3904*T1*T2^3 + 21770*T1^2*T2^3 - 40472*T1^3*T2^3 + 
      22341*T1^4*T2^3 + 22341*T1^5*T2^3 - 40472*T1^6*T2^3 + 21770*T1^7*T2^3 + 
      3904*T1^8*T2^3 - 3662*T1^9*T2^3 + 2905*T2^4 + 3904*T1*T2^4 - 
      33547*T1^2*T2^4 + 22341*T1^3*T2^4 + 28108*T1^4*T2^4 - 62518*T1^5*T2^4 + 
      28108*T1^6*T2^4 + 22341*T1^7*T2^4 - 33547*T1^8*T2^4 + 3904*T1^9*T2^4 + 
      2905*T1^10*T2^4 - 1375*T2^5 - 7873*T1*T2^5 + 21770*T1^2*T2^5 + 
      22341*T1^3*T2^5 - 62518*T1^4*T2^5 + 38654*T1^5*T2^5 + 38654*T1^6*T2^5 - 
      62518*T1^7*T2^5 + 22341*T1^8*T2^5 + 21770*T1^9*T2^5 - 7873*T1^10*T2^5 - 
      1375*T1^11*T2^5 + 270*T2^6 + 5654*T1*T2^6 - 1427*T1^2*T2^6 - 
      40472*T1^3*T2^6 + 28108*T1^4*T2^6 + 38654*T1^5*T2^6 - 86424*T1^6*T2^6 + 
      38654*T1^7*T2^6 + 28108*T1^8*T2^6 - 40472*T1^9*T2^6 - 1427*T1^10*T2^6 + 
      5654*T1^11*T2^6 + 270*T1^12*T2^6 - 1375*T1*T2^7 - 7873*T1^2*T2^7 + 
      21770*T1^3*T2^7 + 22341*T1^4*T2^7 - 62518*T1^5*T2^7 + 38654*T1^6*T2^7 + 
      38654*T1^7*T2^7 - 62518*T1^8*T2^7 + 22341*T1^9*T2^7 + 
      21770*T1^10*T2^7 - 7873*T1^11*T2^7 - 1375*T1^12*T2^7 + 2905*T1^2*T2^8 + 
      3904*T1^3*T2^8 - 33547*T1^4*T2^8 + 22341*T1^5*T2^8 + 28108*T1^6*T2^8 - 
      62518*T1^7*T2^8 + 28108*T1^8*T2^8 + 22341*T1^9*T2^8 - 
      33547*T1^10*T2^8 + 3904*T1^11*T2^8 + 2905*T1^12*T2^8 - 3662*T1^3*T2^9 + 
      3904*T1^4*T2^9 + 21770*T1^5*T2^9 - 40472*T1^6*T2^9 + 22341*T1^7*T2^9 + 
      22341*T1^8*T2^9 - 40472*T1^9*T2^9 + 21770*T1^10*T2^9 + 
      3904*T1^11*T2^9 - 3662*T1^12*T2^9 + 2905*T1^4*T2^10 - 7873*T1^5*T2^10 - 
      1427*T1^6*T2^10 + 21770*T1^7*T2^10 - 33547*T1^8*T2^10 + 
      21770*T1^9*T2^10 - 1427*T1^10*T2^10 - 7873*T1^11*T2^10 + 
      2905*T1^12*T2^10 - 1375*T1^5*T2^11 + 5654*T1^6*T2^11 - 
      7873*T1^7*T2^11 + 3904*T1^8*T2^11 + 3904*T1^9*T2^11 - 
      7873*T1^10*T2^11 + 5654*T1^11*T2^11 - 1375*T1^12*T2^11 + 
      270*T1^6*T2^12 - 1375*T1^7*T2^12 + 2905*T1^8*T2^12 - 3662*T1^9*T2^12 + 
      2905*T1^10*T2^12 - 1375*T1^11*T2^12 + 270*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), (1 - 7*T1 + 24*T1^2 - 49*T1^3 + 61*T1^4 - 49*T1^5 + 24*T1^6 - 
     7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 119*T1^2*T2 + 175*T1^3*T2 - 
     84*T1^4*T2 - 84*T1^5*T2 + 175*T1^6*T2 - 119*T1^7*T2 + 42*T1^8*T2 - 
     7*T1^9*T2 + 24*T2^2 - 119*T1*T2^2 + 254*T1^2*T2^2 - 152*T1^3*T2^2 - 
     402*T1^4*T2^2 + 696*T1^5*T2^2 - 402*T1^6*T2^2 - 152*T1^7*T2^2 + 
     254*T1^8*T2^2 - 119*T1^9*T2^2 + 24*T1^10*T2^2 - 49*T2^3 + 175*T1*T2^3 - 
     152*T1^2*T2^3 - 568*T1^3*T2^3 + 1670*T1^4*T2^3 - 879*T1^5*T2^3 - 
     879*T1^6*T2^3 + 1670*T1^7*T2^3 - 568*T1^8*T2^3 - 152*T1^9*T2^3 + 
     175*T1^10*T2^3 - 49*T1^11*T2^3 + 61*T2^4 - 84*T1*T2^4 - 402*T1^2*T2^4 + 
     1670*T1^3*T2^4 - 1746*T1^4*T2^4 - 2430*T1^5*T2^4 + 4718*T1^6*T2^4 - 
     2430*T1^7*T2^4 - 1746*T1^8*T2^4 + 1670*T1^9*T2^4 - 402*T1^10*T2^4 - 
     84*T1^11*T2^4 + 61*T1^12*T2^4 - 49*T2^5 - 84*T1*T2^5 + 696*T1^2*T2^5 - 
     879*T1^3*T2^5 - 2430*T1^4*T2^5 + 8674*T1^5*T2^5 - 4709*T1^6*T2^5 - 
     4709*T1^7*T2^5 + 8674*T1^8*T2^5 - 2430*T1^9*T2^5 - 879*T1^10*T2^5 + 
     696*T1^11*T2^5 - 84*T1^12*T2^5 - 49*T1^13*T2^5 + 24*T2^6 + 175*T1*T2^6 - 
     402*T1^2*T2^6 - 879*T1^3*T2^6 + 4718*T1^4*T2^6 - 4709*T1^5*T2^6 - 
     10564*T1^6*T2^6 + 19296*T1^7*T2^6 - 10564*T1^8*T2^6 - 4709*T1^9*T2^6 + 
     4718*T1^10*T2^6 - 879*T1^11*T2^6 - 402*T1^12*T2^6 + 175*T1^13*T2^6 + 
     24*T1^14*T2^6 - 7*T2^7 - 119*T1*T2^7 - 152*T1^2*T2^7 + 1670*T1^3*T2^7 - 
     2430*T1^4*T2^7 - 4709*T1^5*T2^7 + 19296*T1^6*T2^7 - 10958*T1^7*T2^7 - 
     10958*T1^8*T2^7 + 19296*T1^9*T2^7 - 4709*T1^10*T2^7 - 2430*T1^11*T2^7 + 
     1670*T1^12*T2^7 - 152*T1^13*T2^7 - 119*T1^14*T2^7 - 7*T1^15*T2^7 + 
     T2^8 + 42*T1*T2^8 + 254*T1^2*T2^8 - 568*T1^3*T2^8 - 1746*T1^4*T2^8 + 
     8674*T1^5*T2^8 - 10564*T1^6*T2^8 - 10958*T1^7*T2^8 + 24108*T1^8*T2^8 - 
     10958*T1^9*T2^8 - 10564*T1^10*T2^8 + 8674*T1^11*T2^8 - 1746*T1^12*T2^8 - 
     568*T1^13*T2^8 + 254*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 
     7*T1*T2^9 - 119*T1^2*T2^9 - 152*T1^3*T2^9 + 1670*T1^4*T2^9 - 
     2430*T1^5*T2^9 - 4709*T1^6*T2^9 + 19296*T1^7*T2^9 - 10958*T1^8*T2^9 - 
     10958*T1^9*T2^9 + 19296*T1^10*T2^9 - 4709*T1^11*T2^9 - 2430*T1^12*T2^9 + 
     1670*T1^13*T2^9 - 152*T1^14*T2^9 - 119*T1^15*T2^9 - 7*T1^16*T2^9 + 
     24*T1^2*T2^10 + 175*T1^3*T2^10 - 402*T1^4*T2^10 - 879*T1^5*T2^10 + 
     4718*T1^6*T2^10 - 4709*T1^7*T2^10 - 10564*T1^8*T2^10 + 
     19296*T1^9*T2^10 - 10564*T1^10*T2^10 - 4709*T1^11*T2^10 + 
     4718*T1^12*T2^10 - 879*T1^13*T2^10 - 402*T1^14*T2^10 + 175*T1^15*T2^10 + 
     24*T1^16*T2^10 - 49*T1^3*T2^11 - 84*T1^4*T2^11 + 696*T1^5*T2^11 - 
     879*T1^6*T2^11 - 2430*T1^7*T2^11 + 8674*T1^8*T2^11 - 4709*T1^9*T2^11 - 
     4709*T1^10*T2^11 + 8674*T1^11*T2^11 - 2430*T1^12*T2^11 - 
     879*T1^13*T2^11 + 696*T1^14*T2^11 - 84*T1^15*T2^11 - 49*T1^16*T2^11 + 
     61*T1^4*T2^12 - 84*T1^5*T2^12 - 402*T1^6*T2^12 + 1670*T1^7*T2^12 - 
     1746*T1^8*T2^12 - 2430*T1^9*T2^12 + 4718*T1^10*T2^12 - 
     2430*T1^11*T2^12 - 1746*T1^12*T2^12 + 1670*T1^13*T2^12 - 
     402*T1^14*T2^12 - 84*T1^15*T2^12 + 61*T1^16*T2^12 - 49*T1^5*T2^13 + 
     175*T1^6*T2^13 - 152*T1^7*T2^13 - 568*T1^8*T2^13 + 1670*T1^9*T2^13 - 
     879*T1^10*T2^13 - 879*T1^11*T2^13 + 1670*T1^12*T2^13 - 568*T1^13*T2^13 - 
     152*T1^14*T2^13 + 175*T1^15*T2^13 - 49*T1^16*T2^13 + 24*T1^6*T2^14 - 
     119*T1^7*T2^14 + 254*T1^8*T2^14 - 152*T1^9*T2^14 - 402*T1^10*T2^14 + 
     696*T1^11*T2^14 - 402*T1^12*T2^14 - 152*T1^13*T2^14 + 254*T1^14*T2^14 - 
     119*T1^15*T2^14 + 24*T1^16*T2^14 - 7*T1^7*T2^15 + 42*T1^8*T2^15 - 
     119*T1^9*T2^15 + 175*T1^10*T2^15 - 84*T1^11*T2^15 - 84*T1^12*T2^15 + 
     175*T1^13*T2^15 - 119*T1^14*T2^15 + 42*T1^15*T2^15 - 7*T1^16*T2^15 + 
     T1^8*T2^16 - 7*T1^9*T2^16 + 24*T1^10*T2^16 - 49*T1^11*T2^16 + 
     61*T1^12*T2^16 - 49*T1^13*T2^16 + 24*T1^14*T2^16 - 7*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, Knot[12, Alternating, 229] -> 
  {-((2 - 16*T + 48*T^2 - 69*T^3 + 48*T^4 - 16*T^5 + 2*T^6)/T^3), 
   -((1 - 7*T1 + 19*T1^2 - 27*T1^3 + 19*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 84*T1^2*T2 + 56*T1^3*T2 + 56*T1^4*T2 - 84*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 19*T2^2 - 84*T1*T2^2 + 46*T1^2*T2^2 + 
      232*T1^3*T2^2 - 506*T1^4*T2^2 + 232*T1^5*T2^2 + 46*T1^6*T2^2 - 
      84*T1^7*T2^2 + 19*T1^8*T2^2 - 27*T2^3 + 56*T1*T2^3 + 232*T1^2*T2^3 - 
      646*T1^3*T2^3 + 504*T1^4*T2^3 + 504*T1^5*T2^3 - 646*T1^6*T2^3 + 
      232*T1^7*T2^3 + 56*T1^8*T2^3 - 27*T1^9*T2^3 + 19*T2^4 + 56*T1*T2^4 - 
      506*T1^2*T2^4 + 504*T1^3*T2^4 + 174*T1^4*T2^4 - 894*T1^5*T2^4 + 
      174*T1^6*T2^4 + 504*T1^7*T2^4 - 506*T1^8*T2^4 + 56*T1^9*T2^4 + 
      19*T1^10*T2^4 - 7*T2^5 - 84*T1*T2^5 + 232*T1^2*T2^5 + 504*T1^3*T2^5 - 
      894*T1^4*T2^5 + 458*T1^5*T2^5 + 458*T1^6*T2^5 - 894*T1^7*T2^5 + 
      504*T1^8*T2^5 + 232*T1^9*T2^5 - 84*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 + 46*T1^2*T2^6 - 646*T1^3*T2^6 + 174*T1^4*T2^6 + 
      458*T1^5*T2^6 - 528*T1^6*T2^6 + 458*T1^7*T2^6 + 174*T1^8*T2^6 - 
      646*T1^9*T2^6 + 46*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 84*T1^2*T2^7 + 232*T1^3*T2^7 + 504*T1^4*T2^7 - 
      894*T1^5*T2^7 + 458*T1^6*T2^7 + 458*T1^7*T2^7 - 894*T1^8*T2^7 + 
      504*T1^9*T2^7 + 232*T1^10*T2^7 - 84*T1^11*T2^7 - 7*T1^12*T2^7 + 
      19*T1^2*T2^8 + 56*T1^3*T2^8 - 506*T1^4*T2^8 + 504*T1^5*T2^8 + 
      174*T1^6*T2^8 - 894*T1^7*T2^8 + 174*T1^8*T2^8 + 504*T1^9*T2^8 - 
      506*T1^10*T2^8 + 56*T1^11*T2^8 + 19*T1^12*T2^8 - 27*T1^3*T2^9 + 
      56*T1^4*T2^9 + 232*T1^5*T2^9 - 646*T1^6*T2^9 + 504*T1^7*T2^9 + 
      504*T1^8*T2^9 - 646*T1^9*T2^9 + 232*T1^10*T2^9 + 56*T1^11*T2^9 - 
      27*T1^12*T2^9 + 19*T1^4*T2^10 - 84*T1^5*T2^10 + 46*T1^6*T2^10 + 
      232*T1^7*T2^10 - 506*T1^8*T2^10 + 232*T1^9*T2^10 + 46*T1^10*T2^10 - 
      84*T1^11*T2^10 + 19*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      84*T1^7*T2^11 + 56*T1^8*T2^11 + 56*T1^9*T2^11 - 84*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      19*T1^8*T2^12 - 27*T1^9*T2^12 + 19*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 230] -> 
  {(3 - 20*T + 56*T^2 - 77*T^3 + 56*T^4 - 20*T^5 + 3*T^6)/T^3, 
   -((30 - 199*T1 + 555*T1^2 - 760*T1^3 + 555*T1^4 - 199*T1^5 + 30*T1^6 - 
      199*T2 + 1122*T1*T2 - 2364*T1^2*T2 + 1363*T1^3*T2 + 1363*T1^4*T2 - 
      2364*T1^5*T2 + 1122*T1^6*T2 - 199*T1^7*T2 + 555*T2^2 - 2364*T1*T2^2 + 
      2046*T1^2*T2^2 + 6844*T1^3*T2^2 - 13206*T1^4*T2^2 + 6844*T1^5*T2^2 + 
      2046*T1^6*T2^2 - 2364*T1^7*T2^2 + 555*T1^8*T2^2 - 760*T2^3 + 
      1363*T1*T2^3 + 6844*T1^2*T2^3 - 25890*T1^3*T2^3 + 16685*T1^4*T2^3 + 
      16685*T1^5*T2^3 - 25890*T1^6*T2^3 + 6844*T1^7*T2^3 + 1363*T1^8*T2^3 - 
      760*T1^9*T2^3 + 555*T2^4 + 1363*T1*T2^4 - 13206*T1^2*T2^4 + 
      16685*T1^3*T2^4 + 40992*T1^4*T2^4 - 84274*T1^5*T2^4 + 40992*T1^6*T2^4 + 
      16685*T1^7*T2^4 - 13206*T1^8*T2^4 + 1363*T1^9*T2^4 + 555*T1^10*T2^4 - 
      199*T2^5 - 2364*T1*T2^5 + 6844*T1^2*T2^5 + 16685*T1^3*T2^5 - 
      84274*T1^4*T2^5 + 56214*T1^5*T2^5 + 56214*T1^6*T2^5 - 84274*T1^7*T2^5 + 
      16685*T1^8*T2^5 + 6844*T1^9*T2^5 - 2364*T1^10*T2^5 - 199*T1^11*T2^5 + 
      30*T2^6 + 1122*T1*T2^6 + 2046*T1^2*T2^6 - 25890*T1^3*T2^6 + 
      40992*T1^4*T2^6 + 56214*T1^5*T2^6 - 132252*T1^6*T2^6 + 
      56214*T1^7*T2^6 + 40992*T1^8*T2^6 - 25890*T1^9*T2^6 + 2046*T1^10*T2^6 + 
      1122*T1^11*T2^6 + 30*T1^12*T2^6 - 199*T1*T2^7 - 2364*T1^2*T2^7 + 
      6844*T1^3*T2^7 + 16685*T1^4*T2^7 - 84274*T1^5*T2^7 + 56214*T1^6*T2^7 + 
      56214*T1^7*T2^7 - 84274*T1^8*T2^7 + 16685*T1^9*T2^7 + 6844*T1^10*T2^7 - 
      2364*T1^11*T2^7 - 199*T1^12*T2^7 + 555*T1^2*T2^8 + 1363*T1^3*T2^8 - 
      13206*T1^4*T2^8 + 16685*T1^5*T2^8 + 40992*T1^6*T2^8 - 84274*T1^7*T2^8 + 
      40992*T1^8*T2^8 + 16685*T1^9*T2^8 - 13206*T1^10*T2^8 + 
      1363*T1^11*T2^8 + 555*T1^12*T2^8 - 760*T1^3*T2^9 + 1363*T1^4*T2^9 + 
      6844*T1^5*T2^9 - 25890*T1^6*T2^9 + 16685*T1^7*T2^9 + 16685*T1^8*T2^9 - 
      25890*T1^9*T2^9 + 6844*T1^10*T2^9 + 1363*T1^11*T2^9 - 760*T1^12*T2^9 + 
      555*T1^4*T2^10 - 2364*T1^5*T2^10 + 2046*T1^6*T2^10 + 6844*T1^7*T2^10 - 
      13206*T1^8*T2^10 + 6844*T1^9*T2^10 + 2046*T1^10*T2^10 - 
      2364*T1^11*T2^10 + 555*T1^12*T2^10 - 199*T1^5*T2^11 + 1122*T1^6*T2^11 - 
      2364*T1^7*T2^11 + 1363*T1^8*T2^11 + 1363*T1^9*T2^11 - 
      2364*T1^10*T2^11 + 1122*T1^11*T2^11 - 199*T1^12*T2^11 + 30*T1^6*T2^12 - 
      199*T1^7*T2^12 + 555*T1^8*T2^12 - 760*T1^9*T2^12 + 555*T1^10*T2^12 - 
      199*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 231] -> 
  {-((5 - 24*T + 48*T^2 - 59*T^3 + 48*T^4 - 24*T^5 + 5*T^6)/T^3), 
   -((270 - 1275*T1 + 2507*T1^2 - 3066*T1^3 + 2507*T1^4 - 1275*T1^5 + 
      270*T1^6 - 1275*T2 + 4760*T1*T2 - 5863*T1^2*T2 + 2666*T1^3*T2 + 
      2666*T1^4*T2 - 5863*T1^5*T2 + 4760*T1^6*T2 - 1275*T1^7*T2 + 2507*T2^2 - 
      5863*T1*T2^2 - 2592*T1^2*T2^2 + 16041*T1^3*T2^2 - 22588*T1^4*T2^2 + 
      16041*T1^5*T2^2 - 2592*T1^6*T2^2 - 5863*T1^7*T2^2 + 2507*T1^8*T2^2 - 
      3066*T2^3 + 2666*T1*T2^3 + 16041*T1^2*T2^3 - 24458*T1^3*T2^3 + 
      11905*T1^4*T2^3 + 11905*T1^5*T2^3 - 24458*T1^6*T2^3 + 16041*T1^7*T2^3 + 
      2666*T1^8*T2^3 - 3066*T1^9*T2^3 + 2507*T2^4 + 2666*T1*T2^4 - 
      22588*T1^2*T2^4 + 11905*T1^3*T2^4 + 14558*T1^4*T2^4 - 29350*T1^5*T2^4 + 
      14558*T1^6*T2^4 + 11905*T1^7*T2^4 - 22588*T1^8*T2^4 + 2666*T1^9*T2^4 + 
      2507*T1^10*T2^4 - 1275*T2^5 - 5863*T1*T2^5 + 16041*T1^2*T2^5 + 
      11905*T1^3*T2^5 - 29350*T1^4*T2^5 + 16384*T1^5*T2^5 + 16384*T1^6*T2^5 - 
      29350*T1^7*T2^5 + 11905*T1^8*T2^5 + 16041*T1^9*T2^5 - 5863*T1^10*T2^5 - 
      1275*T1^11*T2^5 + 270*T2^6 + 4760*T1*T2^6 - 2592*T1^2*T2^6 - 
      24458*T1^3*T2^6 + 14558*T1^4*T2^6 + 16384*T1^5*T2^6 - 35280*T1^6*T2^6 + 
      16384*T1^7*T2^6 + 14558*T1^8*T2^6 - 24458*T1^9*T2^6 - 2592*T1^10*T2^6 + 
      4760*T1^11*T2^6 + 270*T1^12*T2^6 - 1275*T1*T2^7 - 5863*T1^2*T2^7 + 
      16041*T1^3*T2^7 + 11905*T1^4*T2^7 - 29350*T1^5*T2^7 + 16384*T1^6*T2^7 + 
      16384*T1^7*T2^7 - 29350*T1^8*T2^7 + 11905*T1^9*T2^7 + 
      16041*T1^10*T2^7 - 5863*T1^11*T2^7 - 1275*T1^12*T2^7 + 2507*T1^2*T2^8 + 
      2666*T1^3*T2^8 - 22588*T1^4*T2^8 + 11905*T1^5*T2^8 + 14558*T1^6*T2^8 - 
      29350*T1^7*T2^8 + 14558*T1^8*T2^8 + 11905*T1^9*T2^8 - 
      22588*T1^10*T2^8 + 2666*T1^11*T2^8 + 2507*T1^12*T2^8 - 3066*T1^3*T2^9 + 
      2666*T1^4*T2^9 + 16041*T1^5*T2^9 - 24458*T1^6*T2^9 + 11905*T1^7*T2^9 + 
      11905*T1^8*T2^9 - 24458*T1^9*T2^9 + 16041*T1^10*T2^9 + 
      2666*T1^11*T2^9 - 3066*T1^12*T2^9 + 2507*T1^4*T2^10 - 5863*T1^5*T2^10 - 
      2592*T1^6*T2^10 + 16041*T1^7*T2^10 - 22588*T1^8*T2^10 + 
      16041*T1^9*T2^10 - 2592*T1^10*T2^10 - 5863*T1^11*T2^10 + 
      2507*T1^12*T2^10 - 1275*T1^5*T2^11 + 4760*T1^6*T2^11 - 
      5863*T1^7*T2^11 + 2666*T1^8*T2^11 + 2666*T1^9*T2^11 - 
      5863*T1^10*T2^11 + 4760*T1^11*T2^11 - 1275*T1^12*T2^11 + 
      270*T1^6*T2^12 - 1275*T1^7*T2^12 + 2507*T1^8*T2^12 - 3066*T1^9*T2^12 + 
      2507*T1^10*T2^12 - 1275*T1^11*T2^12 + 270*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 232] -> 
  {-((4 - 20*T + 42*T^2 - 53*T^3 + 42*T^4 - 20*T^5 + 4*T^6)/T^3), 
   -((144 - 704*T1 + 1448*T1^2 - 1816*T1^3 + 1448*T1^4 - 704*T1^5 + 
      144*T1^6 - 704*T2 + 2752*T1*T2 - 3680*T1^2*T2 + 1824*T1^3*T2 + 
      1824*T1^4*T2 - 3680*T1^5*T2 + 2752*T1^6*T2 - 704*T1^7*T2 + 1448*T2^2 - 
      3680*T1*T2^2 - 762*T1^2*T2^2 + 9516*T1^3*T2^2 - 14716*T1^4*T2^2 + 
      9516*T1^5*T2^2 - 762*T1^6*T2^2 - 3680*T1^7*T2^2 + 1448*T1^8*T2^2 - 
      1816*T2^3 + 1824*T1*T2^3 + 9516*T1^2*T2^3 - 16600*T1^3*T2^3 + 
      9336*T1^4*T2^3 + 9336*T1^5*T2^3 - 16600*T1^6*T2^3 + 9516*T1^7*T2^3 + 
      1824*T1^8*T2^3 - 1816*T1^9*T2^3 + 1448*T2^4 + 1824*T1*T2^4 - 
      14716*T1^2*T2^4 + 9336*T1^3*T2^4 + 9437*T1^4*T2^4 - 23303*T1^5*T2^4 + 
      9437*T1^6*T2^4 + 9336*T1^7*T2^4 - 14716*T1^8*T2^4 + 1824*T1^9*T2^4 + 
      1448*T1^10*T2^4 - 704*T2^5 - 3680*T1*T2^5 + 9516*T1^2*T2^5 + 
      9336*T1^3*T2^5 - 23303*T1^4*T2^5 + 15078*T1^5*T2^5 + 15078*T1^6*T2^5 - 
      23303*T1^7*T2^5 + 9336*T1^8*T2^5 + 9516*T1^9*T2^5 - 3680*T1^10*T2^5 - 
      704*T1^11*T2^5 + 144*T2^6 + 2752*T1*T2^6 - 762*T1^2*T2^6 - 
      16600*T1^3*T2^6 + 9437*T1^4*T2^6 + 15078*T1^5*T2^6 - 34164*T1^6*T2^6 + 
      15078*T1^7*T2^6 + 9437*T1^8*T2^6 - 16600*T1^9*T2^6 - 762*T1^10*T2^6 + 
      2752*T1^11*T2^6 + 144*T1^12*T2^6 - 704*T1*T2^7 - 3680*T1^2*T2^7 + 
      9516*T1^3*T2^7 + 9336*T1^4*T2^7 - 23303*T1^5*T2^7 + 15078*T1^6*T2^7 + 
      15078*T1^7*T2^7 - 23303*T1^8*T2^7 + 9336*T1^9*T2^7 + 9516*T1^10*T2^7 - 
      3680*T1^11*T2^7 - 704*T1^12*T2^7 + 1448*T1^2*T2^8 + 1824*T1^3*T2^8 - 
      14716*T1^4*T2^8 + 9336*T1^5*T2^8 + 9437*T1^6*T2^8 - 23303*T1^7*T2^8 + 
      9437*T1^8*T2^8 + 9336*T1^9*T2^8 - 14716*T1^10*T2^8 + 1824*T1^11*T2^8 + 
      1448*T1^12*T2^8 - 1816*T1^3*T2^9 + 1824*T1^4*T2^9 + 9516*T1^5*T2^9 - 
      16600*T1^6*T2^9 + 9336*T1^7*T2^9 + 9336*T1^8*T2^9 - 16600*T1^9*T2^9 + 
      9516*T1^10*T2^9 + 1824*T1^11*T2^9 - 1816*T1^12*T2^9 + 1448*T1^4*T2^10 - 
      3680*T1^5*T2^10 - 762*T1^6*T2^10 + 9516*T1^7*T2^10 - 14716*T1^8*T2^10 + 
      9516*T1^9*T2^10 - 762*T1^10*T2^10 - 3680*T1^11*T2^10 + 
      1448*T1^12*T2^10 - 704*T1^5*T2^11 + 2752*T1^6*T2^11 - 3680*T1^7*T2^11 + 
      1824*T1^8*T2^11 + 1824*T1^9*T2^11 - 3680*T1^10*T2^11 + 
      2752*T1^11*T2^11 - 704*T1^12*T2^11 + 144*T1^6*T2^12 - 704*T1^7*T2^12 + 
      1448*T1^8*T2^12 - 1816*T1^9*T2^12 + 1448*T1^10*T2^12 - 
      704*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   (1 - 6*T1 + 15*T1^2 - 21*T1^3 + 15*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     32*T1*T2 - 58*T1^2*T2 + 37*T1^3*T2 + 37*T1^4*T2 - 58*T1^5*T2 + 
     32*T1^6*T2 - 6*T1^7*T2 + 15*T2^2 - 58*T1*T2^2 + 225*T1^3*T2^2 - 
     406*T1^4*T2^2 + 225*T1^5*T2^2 - 58*T1^7*T2^2 + 15*T1^8*T2^2 - 21*T2^3 + 
     37*T1*T2^3 + 225*T1^2*T2^3 - 554*T1^3*T2^3 + 364*T1^4*T2^3 + 
     364*T1^5*T2^3 - 554*T1^6*T2^3 + 225*T1^7*T2^3 + 37*T1^8*T2^3 - 
     21*T1^9*T2^3 + 15*T2^4 + 37*T1*T2^4 - 406*T1^2*T2^4 + 364*T1^3*T2^4 + 
     457*T1^4*T2^4 - 1105*T1^5*T2^4 + 457*T1^6*T2^4 + 364*T1^7*T2^4 - 
     406*T1^8*T2^4 + 37*T1^9*T2^4 + 15*T1^10*T2^4 - 6*T2^5 - 58*T1*T2^5 + 
     225*T1^2*T2^5 + 364*T1^3*T2^5 - 1105*T1^4*T2^5 + 690*T1^5*T2^5 + 
     690*T1^6*T2^5 - 1105*T1^7*T2^5 + 364*T1^8*T2^5 + 225*T1^9*T2^5 - 
     58*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 32*T1*T2^6 - 554*T1^3*T2^6 + 
     457*T1^4*T2^6 + 690*T1^5*T2^6 - 1488*T1^6*T2^6 + 690*T1^7*T2^6 + 
     457*T1^8*T2^6 - 554*T1^9*T2^6 + 32*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
     58*T1^2*T2^7 + 225*T1^3*T2^7 + 364*T1^4*T2^7 - 1105*T1^5*T2^7 + 
     690*T1^6*T2^7 + 690*T1^7*T2^7 - 1105*T1^8*T2^7 + 364*T1^9*T2^7 + 
     225*T1^10*T2^7 - 58*T1^11*T2^7 - 6*T1^12*T2^7 + 15*T1^2*T2^8 + 
     37*T1^3*T2^8 - 406*T1^4*T2^8 + 364*T1^5*T2^8 + 457*T1^6*T2^8 - 
     1105*T1^7*T2^8 + 457*T1^8*T2^8 + 364*T1^9*T2^8 - 406*T1^10*T2^8 + 
     37*T1^11*T2^8 + 15*T1^12*T2^8 - 21*T1^3*T2^9 + 37*T1^4*T2^9 + 
     225*T1^5*T2^9 - 554*T1^6*T2^9 + 364*T1^7*T2^9 + 364*T1^8*T2^9 - 
     554*T1^9*T2^9 + 225*T1^10*T2^9 + 37*T1^11*T2^9 - 21*T1^12*T2^9 + 
     15*T1^4*T2^10 - 58*T1^5*T2^10 + 225*T1^7*T2^10 - 406*T1^8*T2^10 + 
     225*T1^9*T2^10 - 58*T1^11*T2^10 + 15*T1^12*T2^10 - 6*T1^5*T2^11 + 
     32*T1^6*T2^11 - 58*T1^7*T2^11 + 37*T1^8*T2^11 + 37*T1^9*T2^11 - 
     58*T1^10*T2^11 + 32*T1^11*T2^11 - 6*T1^12*T2^11 + T1^6*T2^12 - 
     6*T1^7*T2^12 + 15*T1^8*T2^12 - 21*T1^9*T2^12 + 15*T1^10*T2^12 - 
     6*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 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, 
   (1 - 3*T1 + 6*T1^2 - 9*T1^3 + 11*T1^4 - 9*T1^5 + 6*T1^6 - 3*T1^7 + T1^8 - 
     3*T2 + 6*T1*T2 - 9*T1^2*T2 + 9*T1^3*T2 - 6*T1^4*T2 - 6*T1^5*T2 + 
     9*T1^6*T2 - 9*T1^7*T2 + 6*T1^8*T2 - 3*T1^9*T2 + 6*T2^2 - 9*T1*T2^2 + 
     12*T1^2*T2^2 - 22*T1^3*T2^2 + 53*T1^4*T2^2 - 62*T1^5*T2^2 + 
     53*T1^6*T2^2 - 22*T1^7*T2^2 + 12*T1^8*T2^2 - 9*T1^9*T2^2 + 
     6*T1^10*T2^2 - 9*T2^3 + 9*T1*T2^3 - 22*T1^2*T2^3 + 72*T1^3*T2^3 - 
     149*T1^4*T2^3 + 75*T1^5*T2^3 + 75*T1^6*T2^3 - 149*T1^7*T2^3 + 
     72*T1^8*T2^3 - 22*T1^9*T2^3 + 9*T1^10*T2^3 - 9*T1^11*T2^3 + 11*T2^4 - 
     6*T1*T2^4 + 53*T1^2*T2^4 - 149*T1^3*T2^4 + 235*T1^4*T2^4 + 6*T1^5*T2^4 - 
     155*T1^6*T2^4 + 6*T1^7*T2^4 + 235*T1^8*T2^4 - 149*T1^9*T2^4 + 
     53*T1^10*T2^4 - 6*T1^11*T2^4 + 11*T1^12*T2^4 - 9*T2^5 - 6*T1*T2^5 - 
     62*T1^2*T2^5 + 75*T1^3*T2^5 + 6*T1^4*T2^5 - 462*T1^5*T2^5 + 
     266*T1^6*T2^5 + 266*T1^7*T2^5 - 462*T1^8*T2^5 + 6*T1^9*T2^5 + 
     75*T1^10*T2^5 - 62*T1^11*T2^5 - 6*T1^12*T2^5 - 9*T1^13*T2^5 + 6*T2^6 + 
     9*T1*T2^6 + 53*T1^2*T2^6 + 75*T1^3*T2^6 - 155*T1^4*T2^6 + 
     266*T1^5*T2^6 + 813*T1^6*T2^6 - 1363*T1^7*T2^6 + 813*T1^8*T2^6 + 
     266*T1^9*T2^6 - 155*T1^10*T2^6 + 75*T1^11*T2^6 + 53*T1^12*T2^6 + 
     9*T1^13*T2^6 + 6*T1^14*T2^6 - 3*T2^7 - 9*T1*T2^7 - 22*T1^2*T2^7 - 
     149*T1^3*T2^7 + 6*T1^4*T2^7 + 266*T1^5*T2^7 - 1363*T1^6*T2^7 + 
     694*T1^7*T2^7 + 694*T1^8*T2^7 - 1363*T1^9*T2^7 + 266*T1^10*T2^7 + 
     6*T1^11*T2^7 - 149*T1^12*T2^7 - 22*T1^13*T2^7 - 9*T1^14*T2^7 - 
     3*T1^15*T2^7 + T2^8 + 6*T1*T2^8 + 12*T1^2*T2^8 + 72*T1^3*T2^8 + 
     235*T1^4*T2^8 - 462*T1^5*T2^8 + 813*T1^6*T2^8 + 694*T1^7*T2^8 - 
     1416*T1^8*T2^8 + 694*T1^9*T2^8 + 813*T1^10*T2^8 - 462*T1^11*T2^8 + 
     235*T1^12*T2^8 + 72*T1^13*T2^8 + 12*T1^14*T2^8 + 6*T1^15*T2^8 + 
     T1^16*T2^8 - 3*T1*T2^9 - 9*T1^2*T2^9 - 22*T1^3*T2^9 - 149*T1^4*T2^9 + 
     6*T1^5*T2^9 + 266*T1^6*T2^9 - 1363*T1^7*T2^9 + 694*T1^8*T2^9 + 
     694*T1^9*T2^9 - 1363*T1^10*T2^9 + 266*T1^11*T2^9 + 6*T1^12*T2^9 - 
     149*T1^13*T2^9 - 22*T1^14*T2^9 - 9*T1^15*T2^9 - 3*T1^16*T2^9 + 
     6*T1^2*T2^10 + 9*T1^3*T2^10 + 53*T1^4*T2^10 + 75*T1^5*T2^10 - 
     155*T1^6*T2^10 + 266*T1^7*T2^10 + 813*T1^8*T2^10 - 1363*T1^9*T2^10 + 
     813*T1^10*T2^10 + 266*T1^11*T2^10 - 155*T1^12*T2^10 + 75*T1^13*T2^10 + 
     53*T1^14*T2^10 + 9*T1^15*T2^10 + 6*T1^16*T2^10 - 9*T1^3*T2^11 - 
     6*T1^4*T2^11 - 62*T1^5*T2^11 + 75*T1^6*T2^11 + 6*T1^7*T2^11 - 
     462*T1^8*T2^11 + 266*T1^9*T2^11 + 266*T1^10*T2^11 - 462*T1^11*T2^11 + 
     6*T1^12*T2^11 + 75*T1^13*T2^11 - 62*T1^14*T2^11 - 6*T1^15*T2^11 - 
     9*T1^16*T2^11 + 11*T1^4*T2^12 - 6*T1^5*T2^12 + 53*T1^6*T2^12 - 
     149*T1^7*T2^12 + 235*T1^8*T2^12 + 6*T1^9*T2^12 - 155*T1^10*T2^12 + 
     6*T1^11*T2^12 + 235*T1^12*T2^12 - 149*T1^13*T2^12 + 53*T1^14*T2^12 - 
     6*T1^15*T2^12 + 11*T1^16*T2^12 - 9*T1^5*T2^13 + 9*T1^6*T2^13 - 
     22*T1^7*T2^13 + 72*T1^8*T2^13 - 149*T1^9*T2^13 + 75*T1^10*T2^13 + 
     75*T1^11*T2^13 - 149*T1^12*T2^13 + 72*T1^13*T2^13 - 22*T1^14*T2^13 + 
     9*T1^15*T2^13 - 9*T1^16*T2^13 + 6*T1^6*T2^14 - 9*T1^7*T2^14 + 
     12*T1^8*T2^14 - 22*T1^9*T2^14 + 53*T1^10*T2^14 - 62*T1^11*T2^14 + 
     53*T1^12*T2^14 - 22*T1^13*T2^14 + 12*T1^14*T2^14 - 9*T1^15*T2^14 + 
     6*T1^16*T2^14 - 3*T1^7*T2^15 + 6*T1^8*T2^15 - 9*T1^9*T2^15 + 
     9*T1^10*T2^15 - 6*T1^11*T2^15 - 6*T1^12*T2^15 + 9*T1^13*T2^15 - 
     9*T1^14*T2^15 + 6*T1^15*T2^15 - 3*T1^16*T2^15 + T1^8*T2^16 - 
     3*T1^9*T2^16 + 6*T1^10*T2^16 - 9*T1^11*T2^16 + 11*T1^12*T2^16 - 
     9*T1^13*T2^16 + 6*T1^14*T2^16 - 3*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 235] -> 
  {((2 - 2*T + T^2)*(2 - 3*T + 2*T^2)*(1 - 2*T + 2*T^2))/T^3, 
   (64 - 284*T1 + 620*T1^2 - 784*T1^3 + 620*T1^4 - 284*T1^5 + 64*T1^6 - 
     284*T2 + 982*T1*T2 - 1508*T1^2*T2 + 740*T1^3*T2 + 740*T1^4*T2 - 
     1508*T1^5*T2 + 982*T1^6*T2 - 284*T1^7*T2 + 620*T2^2 - 1508*T1*T2^2 + 
     975*T1^2*T2^2 + 2165*T1^3*T2^2 - 3923*T1^4*T2^2 + 2165*T1^5*T2^2 + 
     975*T1^6*T2^2 - 1508*T1^7*T2^2 + 620*T1^8*T2^2 - 784*T2^3 + 
     740*T1*T2^3 + 2165*T1^2*T2^3 - 6332*T1^3*T2^3 + 3454*T1^4*T2^3 + 
     3454*T1^5*T2^3 - 6332*T1^6*T2^3 + 2165*T1^7*T2^3 + 740*T1^8*T2^3 - 
     784*T1^9*T2^3 + 620*T2^4 + 740*T1*T2^4 - 3923*T1^2*T2^4 + 
     3454*T1^3*T2^4 + 7146*T1^4*T2^4 - 13272*T1^5*T2^4 + 7146*T1^6*T2^4 + 
     3454*T1^7*T2^4 - 3923*T1^8*T2^4 + 740*T1^9*T2^4 + 620*T1^10*T2^4 - 
     284*T2^5 - 1508*T1*T2^5 + 2165*T1^2*T2^5 + 3454*T1^3*T2^5 - 
     13272*T1^4*T2^5 + 7472*T1^5*T2^5 + 7472*T1^6*T2^5 - 13272*T1^7*T2^5 + 
     3454*T1^8*T2^5 + 2165*T1^9*T2^5 - 1508*T1^10*T2^5 - 284*T1^11*T2^5 + 
     64*T2^6 + 982*T1*T2^6 + 975*T1^2*T2^6 - 6332*T1^3*T2^6 + 
     7146*T1^4*T2^6 + 7472*T1^5*T2^6 - 16212*T1^6*T2^6 + 7472*T1^7*T2^6 + 
     7146*T1^8*T2^6 - 6332*T1^9*T2^6 + 975*T1^10*T2^6 + 982*T1^11*T2^6 + 
     64*T1^12*T2^6 - 284*T1*T2^7 - 1508*T1^2*T2^7 + 2165*T1^3*T2^7 + 
     3454*T1^4*T2^7 - 13272*T1^5*T2^7 + 7472*T1^6*T2^7 + 7472*T1^7*T2^7 - 
     13272*T1^8*T2^7 + 3454*T1^9*T2^7 + 2165*T1^10*T2^7 - 1508*T1^11*T2^7 - 
     284*T1^12*T2^7 + 620*T1^2*T2^8 + 740*T1^3*T2^8 - 3923*T1^4*T2^8 + 
     3454*T1^5*T2^8 + 7146*T1^6*T2^8 - 13272*T1^7*T2^8 + 7146*T1^8*T2^8 + 
     3454*T1^9*T2^8 - 3923*T1^10*T2^8 + 740*T1^11*T2^8 + 620*T1^12*T2^8 - 
     784*T1^3*T2^9 + 740*T1^4*T2^9 + 2165*T1^5*T2^9 - 6332*T1^6*T2^9 + 
     3454*T1^7*T2^9 + 3454*T1^8*T2^9 - 6332*T1^9*T2^9 + 2165*T1^10*T2^9 + 
     740*T1^11*T2^9 - 784*T1^12*T2^9 + 620*T1^4*T2^10 - 1508*T1^5*T2^10 + 
     975*T1^6*T2^10 + 2165*T1^7*T2^10 - 3923*T1^8*T2^10 + 2165*T1^9*T2^10 + 
     975*T1^10*T2^10 - 1508*T1^11*T2^10 + 620*T1^12*T2^10 - 284*T1^5*T2^11 + 
     982*T1^6*T2^11 - 1508*T1^7*T2^11 + 740*T1^8*T2^11 + 740*T1^9*T2^11 - 
     1508*T1^10*T2^11 + 982*T1^11*T2^11 - 284*T1^12*T2^11 + 64*T1^6*T2^12 - 
     284*T1^7*T2^12 + 620*T1^8*T2^12 - 784*T1^9*T2^12 + 620*T1^10*T2^12 - 
     284*T1^11*T2^12 + 64*T1^12*T2^12)/(T1^6*T2^6)}, 
 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), 
   -((25 - 99*T1 + 172*T1^2 - 209*T1^3 + 209*T1^4 - 209*T1^5 + 172*T1^6 - 
      99*T1^7 + 25*T1^8 - 99*T2 + 294*T1*T2 - 291*T1^2*T2 + 147*T1^3*T2 + 
      147*T1^6*T2 - 291*T1^7*T2 + 294*T1^8*T2 - 99*T1^9*T2 + 172*T2^2 - 
      291*T1*T2^2 - 202*T1^2*T2^2 + 614*T1^3*T2^2 - 709*T1^4*T2^2 + 
      466*T1^5*T2^2 - 709*T1^6*T2^2 + 614*T1^7*T2^2 - 202*T1^8*T2^2 - 
      291*T1^9*T2^2 + 172*T1^10*T2^2 - 209*T2^3 + 147*T1*T2^3 + 
      614*T1^2*T2^3 - 566*T1^3*T2^3 + 175*T1^4*T2^3 + 261*T1^5*T2^3 + 
      261*T1^6*T2^3 + 175*T1^7*T2^3 - 566*T1^8*T2^3 + 614*T1^9*T2^3 + 
      147*T1^10*T2^3 - 209*T1^11*T2^3 + 209*T2^4 - 709*T1^2*T2^4 + 
      175*T1^3*T2^4 + 37*T1^4*T2^4 - 68*T1^5*T2^4 - 745*T1^6*T2^4 - 
      68*T1^7*T2^4 + 37*T1^8*T2^4 + 175*T1^9*T2^4 - 709*T1^10*T2^4 + 
      209*T1^12*T2^4 - 209*T2^5 + 466*T1^2*T2^5 + 261*T1^3*T2^5 - 
      68*T1^4*T2^5 + 66*T1^5*T2^5 + 516*T1^6*T2^5 + 516*T1^7*T2^5 + 
      66*T1^8*T2^5 - 68*T1^9*T2^5 + 261*T1^10*T2^5 + 466*T1^11*T2^5 - 
      209*T1^13*T2^5 + 172*T2^6 + 147*T1*T2^6 - 709*T1^2*T2^6 + 
      261*T1^3*T2^6 - 745*T1^4*T2^6 + 516*T1^5*T2^6 - 1001*T1^6*T2^6 + 
      165*T1^7*T2^6 - 1001*T1^8*T2^6 + 516*T1^9*T2^6 - 745*T1^10*T2^6 + 
      261*T1^11*T2^6 - 709*T1^12*T2^6 + 147*T1^13*T2^6 + 172*T1^14*T2^6 - 
      99*T2^7 - 291*T1*T2^7 + 614*T1^2*T2^7 + 175*T1^3*T2^7 - 68*T1^4*T2^7 + 
      516*T1^5*T2^7 + 165*T1^6*T2^7 + 420*T1^7*T2^7 + 420*T1^8*T2^7 + 
      165*T1^9*T2^7 + 516*T1^10*T2^7 - 68*T1^11*T2^7 + 175*T1^12*T2^7 + 
      614*T1^13*T2^7 - 291*T1^14*T2^7 - 99*T1^15*T2^7 + 25*T2^8 + 
      294*T1*T2^8 - 202*T1^2*T2^8 - 566*T1^3*T2^8 + 37*T1^4*T2^8 + 
      66*T1^5*T2^8 - 1001*T1^6*T2^8 + 420*T1^7*T2^8 - 1116*T1^8*T2^8 + 
      420*T1^9*T2^8 - 1001*T1^10*T2^8 + 66*T1^11*T2^8 + 37*T1^12*T2^8 - 
      566*T1^13*T2^8 - 202*T1^14*T2^8 + 294*T1^15*T2^8 + 25*T1^16*T2^8 - 
      99*T1*T2^9 - 291*T1^2*T2^9 + 614*T1^3*T2^9 + 175*T1^4*T2^9 - 
      68*T1^5*T2^9 + 516*T1^6*T2^9 + 165*T1^7*T2^9 + 420*T1^8*T2^9 + 
      420*T1^9*T2^9 + 165*T1^10*T2^9 + 516*T1^11*T2^9 - 68*T1^12*T2^9 + 
      175*T1^13*T2^9 + 614*T1^14*T2^9 - 291*T1^15*T2^9 - 99*T1^16*T2^9 + 
      172*T1^2*T2^10 + 147*T1^3*T2^10 - 709*T1^4*T2^10 + 261*T1^5*T2^10 - 
      745*T1^6*T2^10 + 516*T1^7*T2^10 - 1001*T1^8*T2^10 + 165*T1^9*T2^10 - 
      1001*T1^10*T2^10 + 516*T1^11*T2^10 - 745*T1^12*T2^10 + 
      261*T1^13*T2^10 - 709*T1^14*T2^10 + 147*T1^15*T2^10 + 172*T1^16*T2^10 - 
      209*T1^3*T2^11 + 466*T1^5*T2^11 + 261*T1^6*T2^11 - 68*T1^7*T2^11 + 
      66*T1^8*T2^11 + 516*T1^9*T2^11 + 516*T1^10*T2^11 + 66*T1^11*T2^11 - 
      68*T1^12*T2^11 + 261*T1^13*T2^11 + 466*T1^14*T2^11 - 209*T1^16*T2^11 + 
      209*T1^4*T2^12 - 709*T1^6*T2^12 + 175*T1^7*T2^12 + 37*T1^8*T2^12 - 
      68*T1^9*T2^12 - 745*T1^10*T2^12 - 68*T1^11*T2^12 + 37*T1^12*T2^12 + 
      175*T1^13*T2^12 - 709*T1^14*T2^12 + 209*T1^16*T2^12 - 209*T1^5*T2^13 + 
      147*T1^6*T2^13 + 614*T1^7*T2^13 - 566*T1^8*T2^13 + 175*T1^9*T2^13 + 
      261*T1^10*T2^13 + 261*T1^11*T2^13 + 175*T1^12*T2^13 - 566*T1^13*T2^13 + 
      614*T1^14*T2^13 + 147*T1^15*T2^13 - 209*T1^16*T2^13 + 172*T1^6*T2^14 - 
      291*T1^7*T2^14 - 202*T1^8*T2^14 + 614*T1^9*T2^14 - 709*T1^10*T2^14 + 
      466*T1^11*T2^14 - 709*T1^12*T2^14 + 614*T1^13*T2^14 - 202*T1^14*T2^14 - 
      291*T1^15*T2^14 + 172*T1^16*T2^14 - 99*T1^7*T2^15 + 294*T1^8*T2^15 - 
      291*T1^9*T2^15 + 147*T1^10*T2^15 + 147*T1^13*T2^15 - 291*T1^14*T2^15 + 
      294*T1^15*T2^15 - 99*T1^16*T2^15 + 25*T1^8*T2^16 - 99*T1^9*T2^16 + 
      172*T1^10*T2^16 - 209*T1^11*T2^16 + 209*T1^12*T2^16 - 209*T1^13*T2^16 + 
      172*T1^14*T2^16 - 99*T1^15*T2^16 + 25*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 237] -> 
  {-(((2 - 3*T + 2*T^2)*(2 - 6*T + 7*T^2 - 6*T^3 + 2*T^4))/T^3), 
   -((144 - 636*T1 + 1252*T1^2 - 1560*T1^3 + 1252*T1^4 - 636*T1^5 + 
      144*T1^6 - 636*T2 + 2182*T1*T2 - 2744*T1^2*T2 + 1372*T1^3*T2 + 
      1372*T1^4*T2 - 2744*T1^5*T2 + 2182*T1^6*T2 - 636*T1^7*T2 + 1252*T2^2 - 
      2744*T1*T2^2 - 289*T1^2*T2^2 + 5615*T1^3*T2^2 - 9061*T1^4*T2^2 + 
      5615*T1^5*T2^2 - 289*T1^6*T2^2 - 2744*T1^7*T2^2 + 1252*T1^8*T2^2 - 
      1560*T2^3 + 1372*T1*T2^3 + 5615*T1^2*T2^3 - 9258*T1^3*T2^3 + 
      5594*T1^4*T2^3 + 5594*T1^5*T2^3 - 9258*T1^6*T2^3 + 5615*T1^7*T2^3 + 
      1372*T1^8*T2^3 - 1560*T1^9*T2^3 + 1252*T2^4 + 1372*T1*T2^4 - 
      9061*T1^2*T2^4 + 5594*T1^3*T2^4 + 3758*T1^4*T2^4 - 12256*T1^5*T2^4 + 
      3758*T1^6*T2^4 + 5594*T1^7*T2^4 - 9061*T1^8*T2^4 + 1372*T1^9*T2^4 + 
      1252*T1^10*T2^4 - 636*T2^5 - 2744*T1*T2^5 + 5615*T1^2*T2^5 + 
      5594*T1^3*T2^5 - 12256*T1^4*T2^5 + 8930*T1^5*T2^5 + 8930*T1^6*T2^5 - 
      12256*T1^7*T2^5 + 5594*T1^8*T2^5 + 5615*T1^9*T2^5 - 2744*T1^10*T2^5 - 
      636*T1^11*T2^5 + 144*T2^6 + 2182*T1*T2^6 - 289*T1^2*T2^6 - 
      9258*T1^3*T2^6 + 3758*T1^4*T2^6 + 8930*T1^5*T2^6 - 20976*T1^6*T2^6 + 
      8930*T1^7*T2^6 + 3758*T1^8*T2^6 - 9258*T1^9*T2^6 - 289*T1^10*T2^6 + 
      2182*T1^11*T2^6 + 144*T1^12*T2^6 - 636*T1*T2^7 - 2744*T1^2*T2^7 + 
      5615*T1^3*T2^7 + 5594*T1^4*T2^7 - 12256*T1^5*T2^7 + 8930*T1^6*T2^7 + 
      8930*T1^7*T2^7 - 12256*T1^8*T2^7 + 5594*T1^9*T2^7 + 5615*T1^10*T2^7 - 
      2744*T1^11*T2^7 - 636*T1^12*T2^7 + 1252*T1^2*T2^8 + 1372*T1^3*T2^8 - 
      9061*T1^4*T2^8 + 5594*T1^5*T2^8 + 3758*T1^6*T2^8 - 12256*T1^7*T2^8 + 
      3758*T1^8*T2^8 + 5594*T1^9*T2^8 - 9061*T1^10*T2^8 + 1372*T1^11*T2^8 + 
      1252*T1^12*T2^8 - 1560*T1^3*T2^9 + 1372*T1^4*T2^9 + 5615*T1^5*T2^9 - 
      9258*T1^6*T2^9 + 5594*T1^7*T2^9 + 5594*T1^8*T2^9 - 9258*T1^9*T2^9 + 
      5615*T1^10*T2^9 + 1372*T1^11*T2^9 - 1560*T1^12*T2^9 + 1252*T1^4*T2^10 - 
      2744*T1^5*T2^10 - 289*T1^6*T2^10 + 5615*T1^7*T2^10 - 9061*T1^8*T2^10 + 
      5615*T1^9*T2^10 - 289*T1^10*T2^10 - 2744*T1^11*T2^10 + 
      1252*T1^12*T2^10 - 636*T1^5*T2^11 + 2182*T1^6*T2^11 - 2744*T1^7*T2^11 + 
      1372*T1^8*T2^11 + 1372*T1^9*T2^11 - 2744*T1^10*T2^11 + 
      2182*T1^11*T2^11 - 636*T1^12*T2^11 + 144*T1^6*T2^12 - 636*T1^7*T2^12 + 
      1252*T1^8*T2^12 - 1560*T1^9*T2^12 + 1252*T1^10*T2^12 - 
      636*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 238] -> 
  {-((4 - 17*T + 33*T^2 - 41*T^3 + 33*T^4 - 17*T^5 + 4*T^6)/T^3), 
   -((144 - 604*T1 + 1160*T1^2 - 1440*T1^3 + 1160*T1^4 - 604*T1^5 + 
      144*T1^6 - 604*T2 + 1934*T1*T2 - 2342*T1^2*T2 + 1178*T1^3*T2 + 
      1178*T1^4*T2 - 2342*T1^5*T2 + 1934*T1^6*T2 - 604*T1^7*T2 + 1160*T2^2 - 
      2342*T1*T2^2 - 194*T1^2*T2^2 + 4270*T1^3*T2^2 - 7078*T1^4*T2^2 + 
      4270*T1^5*T2^2 - 194*T1^6*T2^2 - 2342*T1^7*T2^2 + 1160*T1^8*T2^2 - 
      1440*T2^3 + 1178*T1*T2^3 + 4270*T1^2*T2^3 - 6714*T1^3*T2^3 + 
      4311*T1^4*T2^3 + 4311*T1^5*T2^3 - 6714*T1^6*T2^3 + 4270*T1^7*T2^3 + 
      1178*T1^8*T2^3 - 1440*T1^9*T2^3 + 1160*T2^4 + 1178*T1*T2^4 - 
      7078*T1^2*T2^4 + 4311*T1^3*T2^4 + 1801*T1^4*T2^4 - 8539*T1^5*T2^4 + 
      1801*T1^6*T2^4 + 4311*T1^7*T2^4 - 7078*T1^8*T2^4 + 1178*T1^9*T2^4 + 
      1160*T1^10*T2^4 - 604*T2^5 - 2342*T1*T2^5 + 4270*T1^2*T2^5 + 
      4311*T1^3*T2^5 - 8539*T1^4*T2^5 + 6944*T1^5*T2^5 + 6944*T1^6*T2^5 - 
      8539*T1^7*T2^5 + 4311*T1^8*T2^5 + 4270*T1^9*T2^5 - 2342*T1^10*T2^5 - 
      604*T1^11*T2^5 + 144*T2^6 + 1934*T1*T2^6 - 194*T1^2*T2^6 - 
      6714*T1^3*T2^6 + 1801*T1^4*T2^6 + 6944*T1^5*T2^6 - 16824*T1^6*T2^6 + 
      6944*T1^7*T2^6 + 1801*T1^8*T2^6 - 6714*T1^9*T2^6 - 194*T1^10*T2^6 + 
      1934*T1^11*T2^6 + 144*T1^12*T2^6 - 604*T1*T2^7 - 2342*T1^2*T2^7 + 
      4270*T1^3*T2^7 + 4311*T1^4*T2^7 - 8539*T1^5*T2^7 + 6944*T1^6*T2^7 + 
      6944*T1^7*T2^7 - 8539*T1^8*T2^7 + 4311*T1^9*T2^7 + 4270*T1^10*T2^7 - 
      2342*T1^11*T2^7 - 604*T1^12*T2^7 + 1160*T1^2*T2^8 + 1178*T1^3*T2^8 - 
      7078*T1^4*T2^8 + 4311*T1^5*T2^8 + 1801*T1^6*T2^8 - 8539*T1^7*T2^8 + 
      1801*T1^8*T2^8 + 4311*T1^9*T2^8 - 7078*T1^10*T2^8 + 1178*T1^11*T2^8 + 
      1160*T1^12*T2^8 - 1440*T1^3*T2^9 + 1178*T1^4*T2^9 + 4270*T1^5*T2^9 - 
      6714*T1^6*T2^9 + 4311*T1^7*T2^9 + 4311*T1^8*T2^9 - 6714*T1^9*T2^9 + 
      4270*T1^10*T2^9 + 1178*T1^11*T2^9 - 1440*T1^12*T2^9 + 1160*T1^4*T2^10 - 
      2342*T1^5*T2^10 - 194*T1^6*T2^10 + 4270*T1^7*T2^10 - 7078*T1^8*T2^10 + 
      4270*T1^9*T2^10 - 194*T1^10*T2^10 - 2342*T1^11*T2^10 + 
      1160*T1^12*T2^10 - 604*T1^5*T2^11 + 1934*T1^6*T2^11 - 2342*T1^7*T2^11 + 
      1178*T1^8*T2^11 + 1178*T1^9*T2^11 - 2342*T1^10*T2^11 + 
      1934*T1^11*T2^11 - 604*T1^12*T2^11 + 144*T1^6*T2^12 - 604*T1^7*T2^12 + 
      1160*T1^8*T2^12 - 1440*T1^9*T2^12 + 1160*T1^10*T2^12 - 
      604*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 239] -> {-((6 - 22*T + 31*T^2 - 22*T^3 + 6*T^4)/T^2), 
   (-5*(63 - 229*T1 + 319*T1^2 - 229*T1^3 + 63*T1^4 - 229*T2 + 606*T1*T2 - 
      330*T1^2*T2 - 330*T1^3*T2 + 606*T1^4*T2 - 229*T1^5*T2 + 319*T2^2 - 
      330*T1*T2^2 - 1113*T1^2*T2^2 + 1953*T1^3*T2^2 - 1113*T1^4*T2^2 - 
      330*T1^5*T2^2 + 319*T1^6*T2^2 - 229*T2^3 - 330*T1*T2^3 + 
      1953*T1^2*T2^3 - 1122*T1^3*T2^3 - 1122*T1^4*T2^3 + 1953*T1^5*T2^3 - 
      330*T1^6*T2^3 - 229*T1^7*T2^3 + 63*T2^4 + 606*T1*T2^4 - 
      1113*T1^2*T2^4 - 1122*T1^3*T2^4 + 2472*T1^4*T2^4 - 1122*T1^5*T2^4 - 
      1113*T1^6*T2^4 + 606*T1^7*T2^4 + 63*T1^8*T2^4 - 229*T1*T2^5 - 
      330*T1^2*T2^5 + 1953*T1^3*T2^5 - 1122*T1^4*T2^5 - 1122*T1^5*T2^5 + 
      1953*T1^6*T2^5 - 330*T1^7*T2^5 - 229*T1^8*T2^5 + 319*T1^2*T2^6 - 
      330*T1^3*T2^6 - 1113*T1^4*T2^6 + 1953*T1^5*T2^6 - 1113*T1^6*T2^6 - 
      330*T1^7*T2^6 + 319*T1^8*T2^6 - 229*T1^3*T2^7 + 606*T1^4*T2^7 - 
      330*T1^5*T2^7 - 330*T1^6*T2^7 + 606*T1^7*T2^7 - 229*T1^8*T2^7 + 
      63*T1^4*T2^8 - 229*T1^5*T2^8 + 319*T1^6*T2^8 - 229*T1^7*T2^8 + 
      63*T1^8*T2^8))/(T1^4*T2^4)}, 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, -((17 - 75*T1 + 180*T1^2 - 273*T1^3 + 311*T1^4 - 273*T1^5 + 
      180*T1^6 - 75*T1^7 + 17*T1^8 - 75*T2 + 258*T1*T2 - 471*T1^2*T2 + 
      423*T1^3*T2 - 174*T1^4*T2 - 174*T1^5*T2 + 423*T1^6*T2 - 471*T1^7*T2 + 
      258*T1^8*T2 - 75*T1^9*T2 + 180*T2^2 - 471*T1*T2^2 + 640*T1^2*T2^2 - 
      162*T1^3*T2^2 - 227*T1^4*T2^2 + 432*T1^5*T2^2 - 227*T1^6*T2^2 - 
      162*T1^7*T2^2 + 640*T1^8*T2^2 - 471*T1^9*T2^2 + 180*T1^10*T2^2 - 
      273*T2^3 + 423*T1*T2^3 - 162*T1^2*T2^3 - 946*T1^3*T2^3 + 
      861*T1^4*T2^3 - 431*T1^5*T2^3 - 431*T1^6*T2^3 + 861*T1^7*T2^3 - 
      946*T1^8*T2^3 - 162*T1^9*T2^3 + 423*T1^10*T2^3 - 273*T1^11*T2^3 + 
      311*T2^4 - 174*T1*T2^4 - 227*T1^2*T2^4 + 861*T1^3*T2^4 + 
      1201*T1^4*T2^4 - 2416*T1^5*T2^4 + 3241*T1^6*T2^4 - 2416*T1^7*T2^4 + 
      1201*T1^8*T2^4 + 861*T1^9*T2^4 - 227*T1^10*T2^4 - 174*T1^11*T2^4 + 
      311*T1^12*T2^4 - 273*T2^5 - 174*T1*T2^5 + 432*T1^2*T2^5 - 
      431*T1^3*T2^5 - 2416*T1^4*T2^5 + 1844*T1^5*T2^5 - 1058*T1^6*T2^5 - 
      1058*T1^7*T2^5 + 1844*T1^8*T2^5 - 2416*T1^9*T2^5 - 431*T1^10*T2^5 + 
      432*T1^11*T2^5 - 174*T1^12*T2^5 - 273*T1^13*T2^5 + 180*T2^6 + 
      423*T1*T2^6 - 227*T1^2*T2^6 - 431*T1^3*T2^6 + 3241*T1^4*T2^6 - 
      1058*T1^5*T2^6 + 793*T1^6*T2^6 + 215*T1^7*T2^6 + 793*T1^8*T2^6 - 
      1058*T1^9*T2^6 + 3241*T1^10*T2^6 - 431*T1^11*T2^6 - 227*T1^12*T2^6 + 
      423*T1^13*T2^6 + 180*T1^14*T2^6 - 75*T2^7 - 471*T1*T2^7 - 
      162*T1^2*T2^7 + 861*T1^3*T2^7 - 2416*T1^4*T2^7 - 1058*T1^5*T2^7 + 
      215*T1^6*T2^7 - 652*T1^7*T2^7 - 652*T1^8*T2^7 + 215*T1^9*T2^7 - 
      1058*T1^10*T2^7 - 2416*T1^11*T2^7 + 861*T1^12*T2^7 - 162*T1^13*T2^7 - 
      471*T1^14*T2^7 - 75*T1^15*T2^7 + 17*T2^8 + 258*T1*T2^8 + 
      640*T1^2*T2^8 - 946*T1^3*T2^8 + 1201*T1^4*T2^8 + 1844*T1^5*T2^8 + 
      793*T1^6*T2^8 - 652*T1^7*T2^8 + 1752*T1^8*T2^8 - 652*T1^9*T2^8 + 
      793*T1^10*T2^8 + 1844*T1^11*T2^8 + 1201*T1^12*T2^8 - 946*T1^13*T2^8 + 
      640*T1^14*T2^8 + 258*T1^15*T2^8 + 17*T1^16*T2^8 - 75*T1*T2^9 - 
      471*T1^2*T2^9 - 162*T1^3*T2^9 + 861*T1^4*T2^9 - 2416*T1^5*T2^9 - 
      1058*T1^6*T2^9 + 215*T1^7*T2^9 - 652*T1^8*T2^9 - 652*T1^9*T2^9 + 
      215*T1^10*T2^9 - 1058*T1^11*T2^9 - 2416*T1^12*T2^9 + 861*T1^13*T2^9 - 
      162*T1^14*T2^9 - 471*T1^15*T2^9 - 75*T1^16*T2^9 + 180*T1^2*T2^10 + 
      423*T1^3*T2^10 - 227*T1^4*T2^10 - 431*T1^5*T2^10 + 3241*T1^6*T2^10 - 
      1058*T1^7*T2^10 + 793*T1^8*T2^10 + 215*T1^9*T2^10 + 793*T1^10*T2^10 - 
      1058*T1^11*T2^10 + 3241*T1^12*T2^10 - 431*T1^13*T2^10 - 
      227*T1^14*T2^10 + 423*T1^15*T2^10 + 180*T1^16*T2^10 - 273*T1^3*T2^11 - 
      174*T1^4*T2^11 + 432*T1^5*T2^11 - 431*T1^6*T2^11 - 2416*T1^7*T2^11 + 
      1844*T1^8*T2^11 - 1058*T1^9*T2^11 - 1058*T1^10*T2^11 + 
      1844*T1^11*T2^11 - 2416*T1^12*T2^11 - 431*T1^13*T2^11 + 
      432*T1^14*T2^11 - 174*T1^15*T2^11 - 273*T1^16*T2^11 + 311*T1^4*T2^12 - 
      174*T1^5*T2^12 - 227*T1^6*T2^12 + 861*T1^7*T2^12 + 1201*T1^8*T2^12 - 
      2416*T1^9*T2^12 + 3241*T1^10*T2^12 - 2416*T1^11*T2^12 + 
      1201*T1^12*T2^12 + 861*T1^13*T2^12 - 227*T1^14*T2^12 - 
      174*T1^15*T2^12 + 311*T1^16*T2^12 - 273*T1^5*T2^13 + 423*T1^6*T2^13 - 
      162*T1^7*T2^13 - 946*T1^8*T2^13 + 861*T1^9*T2^13 - 431*T1^10*T2^13 - 
      431*T1^11*T2^13 + 861*T1^12*T2^13 - 946*T1^13*T2^13 - 162*T1^14*T2^13 + 
      423*T1^15*T2^13 - 273*T1^16*T2^13 + 180*T1^6*T2^14 - 471*T1^7*T2^14 + 
      640*T1^8*T2^14 - 162*T1^9*T2^14 - 227*T1^10*T2^14 + 432*T1^11*T2^14 - 
      227*T1^12*T2^14 - 162*T1^13*T2^14 + 640*T1^14*T2^14 - 471*T1^15*T2^14 + 
      180*T1^16*T2^14 - 75*T1^7*T2^15 + 258*T1^8*T2^15 - 471*T1^9*T2^15 + 
      423*T1^10*T2^15 - 174*T1^11*T2^15 - 174*T1^12*T2^15 + 423*T1^13*T2^15 - 
      471*T1^14*T2^15 + 258*T1^15*T2^15 - 75*T1^16*T2^15 + 17*T1^8*T2^16 - 
      75*T1^9*T2^16 + 180*T1^10*T2^16 - 273*T1^11*T2^16 + 311*T1^12*T2^16 - 
      273*T1^13*T2^16 + 180*T1^14*T2^16 - 75*T1^15*T2^16 + 17*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 241] -> 
  {(3 - 13*T + 29*T^2 - 37*T^3 + 29*T^4 - 13*T^5 + 3*T^6)/T^3, 
   -((36 - 152*T1 + 334*T1^2 - 422*T1^3 + 334*T1^4 - 152*T1^5 + 36*T1^6 - 
      152*T2 + 492*T1*T2 - 774*T1^2*T2 + 376*T1^3*T2 + 376*T1^4*T2 - 
      774*T1^5*T2 + 492*T1^6*T2 - 152*T1^7*T2 + 334*T2^2 - 774*T1*T2^2 + 
      722*T1^2*T2^2 + 682*T1^3*T2^2 - 1436*T1^4*T2^2 + 682*T1^5*T2^2 + 
      722*T1^6*T2^2 - 774*T1^7*T2^2 + 334*T1^8*T2^2 - 422*T2^3 + 
      376*T1*T2^3 + 682*T1^2*T2^3 - 2784*T1^3*T2^3 + 1474*T1^4*T2^3 + 
      1474*T1^5*T2^3 - 2784*T1^6*T2^3 + 682*T1^7*T2^3 + 376*T1^8*T2^3 - 
      422*T1^9*T2^3 + 334*T2^4 + 376*T1*T2^4 - 1436*T1^2*T2^4 + 
      1474*T1^3*T2^4 + 3905*T1^4*T2^4 - 6671*T1^5*T2^4 + 3905*T1^6*T2^4 + 
      1474*T1^7*T2^4 - 1436*T1^8*T2^4 + 376*T1^9*T2^4 + 334*T1^10*T2^4 - 
      152*T2^5 - 774*T1*T2^5 + 682*T1^2*T2^5 + 1474*T1^3*T2^5 - 
      6671*T1^4*T2^5 + 3506*T1^5*T2^5 + 3506*T1^6*T2^5 - 6671*T1^7*T2^5 + 
      1474*T1^8*T2^5 + 682*T1^9*T2^5 - 774*T1^10*T2^5 - 152*T1^11*T2^5 + 
      36*T2^6 + 492*T1*T2^6 + 722*T1^2*T2^6 - 2784*T1^3*T2^6 + 
      3905*T1^4*T2^6 + 3506*T1^5*T2^6 - 7368*T1^6*T2^6 + 3506*T1^7*T2^6 + 
      3905*T1^8*T2^6 - 2784*T1^9*T2^6 + 722*T1^10*T2^6 + 492*T1^11*T2^6 + 
      36*T1^12*T2^6 - 152*T1*T2^7 - 774*T1^2*T2^7 + 682*T1^3*T2^7 + 
      1474*T1^4*T2^7 - 6671*T1^5*T2^7 + 3506*T1^6*T2^7 + 3506*T1^7*T2^7 - 
      6671*T1^8*T2^7 + 1474*T1^9*T2^7 + 682*T1^10*T2^7 - 774*T1^11*T2^7 - 
      152*T1^12*T2^7 + 334*T1^2*T2^8 + 376*T1^3*T2^8 - 1436*T1^4*T2^8 + 
      1474*T1^5*T2^8 + 3905*T1^6*T2^8 - 6671*T1^7*T2^8 + 3905*T1^8*T2^8 + 
      1474*T1^9*T2^8 - 1436*T1^10*T2^8 + 376*T1^11*T2^8 + 334*T1^12*T2^8 - 
      422*T1^3*T2^9 + 376*T1^4*T2^9 + 682*T1^5*T2^9 - 2784*T1^6*T2^9 + 
      1474*T1^7*T2^9 + 1474*T1^8*T2^9 - 2784*T1^9*T2^9 + 682*T1^10*T2^9 + 
      376*T1^11*T2^9 - 422*T1^12*T2^9 + 334*T1^4*T2^10 - 774*T1^5*T2^10 + 
      722*T1^6*T2^10 + 682*T1^7*T2^10 - 1436*T1^8*T2^10 + 682*T1^9*T2^10 + 
      722*T1^10*T2^10 - 774*T1^11*T2^10 + 334*T1^12*T2^10 - 152*T1^5*T2^11 + 
      492*T1^6*T2^11 - 774*T1^7*T2^11 + 376*T1^8*T2^11 + 376*T1^9*T2^11 - 
      774*T1^10*T2^11 + 492*T1^11*T2^11 - 152*T1^12*T2^11 + 36*T1^6*T2^12 - 
      152*T1^7*T2^12 + 334*T1^8*T2^12 - 422*T1^9*T2^12 + 334*T1^10*T2^12 - 
      152*T1^11*T2^12 + 36*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), -((1 - 7*T1 + 22*T1^2 - 41*T1^3 + 49*T1^4 - 41*T1^5 + 22*T1^6 - 
      7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 105*T1^2*T2 + 133*T1^3*T2 - 
      56*T1^4*T2 - 56*T1^5*T2 + 133*T1^6*T2 - 105*T1^7*T2 + 42*T1^8*T2 - 
      7*T1^9*T2 + 22*T2^2 - 105*T1*T2^2 + 162*T1^2*T2^2 + 31*T1^3*T2^2 - 
      471*T1^4*T2^2 + 630*T1^5*T2^2 - 471*T1^6*T2^2 + 31*T1^7*T2^2 + 
      162*T1^8*T2^2 - 105*T1^9*T2^2 + 22*T1^10*T2^2 - 41*T2^3 + 133*T1*T2^3 + 
      31*T1^2*T2^3 - 726*T1^3*T2^3 + 1306*T1^4*T2^3 - 517*T1^5*T2^3 - 
      517*T1^6*T2^3 + 1306*T1^7*T2^3 - 726*T1^8*T2^3 + 31*T1^9*T2^3 + 
      133*T1^10*T2^3 - 41*T1^11*T2^3 + 49*T2^4 - 56*T1*T2^4 - 471*T1^2*T2^4 + 
      1306*T1^3*T2^4 - 699*T1^4*T2^4 - 2151*T1^5*T2^4 + 3009*T1^6*T2^4 - 
      2151*T1^7*T2^4 - 699*T1^8*T2^4 + 1306*T1^9*T2^4 - 471*T1^10*T2^4 - 
      56*T1^11*T2^4 + 49*T1^12*T2^4 - 41*T2^5 - 56*T1*T2^5 + 630*T1^2*T2^5 - 
      517*T1^3*T2^5 - 2151*T1^4*T2^5 + 5270*T1^5*T2^5 - 2073*T1^6*T2^5 - 
      2073*T1^7*T2^5 + 5270*T1^8*T2^5 - 2151*T1^9*T2^5 - 517*T1^10*T2^5 + 
      630*T1^11*T2^5 - 56*T1^12*T2^5 - 41*T1^13*T2^5 + 22*T2^6 + 
      133*T1*T2^6 - 471*T1^2*T2^6 - 517*T1^3*T2^6 + 3009*T1^4*T2^6 - 
      2073*T1^5*T2^6 - 6238*T1^6*T2^6 + 8888*T1^7*T2^6 - 6238*T1^8*T2^6 - 
      2073*T1^9*T2^6 + 3009*T1^10*T2^6 - 517*T1^11*T2^6 - 471*T1^12*T2^6 + 
      133*T1^13*T2^6 + 22*T1^14*T2^6 - 7*T2^7 - 105*T1*T2^7 + 31*T1^2*T2^7 + 
      1306*T1^3*T2^7 - 2151*T1^4*T2^7 - 2073*T1^5*T2^7 + 8888*T1^6*T2^7 - 
      3706*T1^7*T2^7 - 3706*T1^8*T2^7 + 8888*T1^9*T2^7 - 2073*T1^10*T2^7 - 
      2151*T1^11*T2^7 + 1306*T1^12*T2^7 + 31*T1^13*T2^7 - 105*T1^14*T2^7 - 
      7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 162*T1^2*T2^8 - 726*T1^3*T2^8 - 
      699*T1^4*T2^8 + 5270*T1^5*T2^8 - 6238*T1^6*T2^8 - 3706*T1^7*T2^8 + 
      7056*T1^8*T2^8 - 3706*T1^9*T2^8 - 6238*T1^10*T2^8 + 5270*T1^11*T2^8 - 
      699*T1^12*T2^8 - 726*T1^13*T2^8 + 162*T1^14*T2^8 + 42*T1^15*T2^8 + 
      T1^16*T2^8 - 7*T1*T2^9 - 105*T1^2*T2^9 + 31*T1^3*T2^9 + 
      1306*T1^4*T2^9 - 2151*T1^5*T2^9 - 2073*T1^6*T2^9 + 8888*T1^7*T2^9 - 
      3706*T1^8*T2^9 - 3706*T1^9*T2^9 + 8888*T1^10*T2^9 - 2073*T1^11*T2^9 - 
      2151*T1^12*T2^9 + 1306*T1^13*T2^9 + 31*T1^14*T2^9 - 105*T1^15*T2^9 - 
      7*T1^16*T2^9 + 22*T1^2*T2^10 + 133*T1^3*T2^10 - 471*T1^4*T2^10 - 
      517*T1^5*T2^10 + 3009*T1^6*T2^10 - 2073*T1^7*T2^10 - 6238*T1^8*T2^10 + 
      8888*T1^9*T2^10 - 6238*T1^10*T2^10 - 2073*T1^11*T2^10 + 
      3009*T1^12*T2^10 - 517*T1^13*T2^10 - 471*T1^14*T2^10 + 
      133*T1^15*T2^10 + 22*T1^16*T2^10 - 41*T1^3*T2^11 - 56*T1^4*T2^11 + 
      630*T1^5*T2^11 - 517*T1^6*T2^11 - 2151*T1^7*T2^11 + 5270*T1^8*T2^11 - 
      2073*T1^9*T2^11 - 2073*T1^10*T2^11 + 5270*T1^11*T2^11 - 
      2151*T1^12*T2^11 - 517*T1^13*T2^11 + 630*T1^14*T2^11 - 56*T1^15*T2^11 - 
      41*T1^16*T2^11 + 49*T1^4*T2^12 - 56*T1^5*T2^12 - 471*T1^6*T2^12 + 
      1306*T1^7*T2^12 - 699*T1^8*T2^12 - 2151*T1^9*T2^12 + 3009*T1^10*T2^12 - 
      2151*T1^11*T2^12 - 699*T1^12*T2^12 + 1306*T1^13*T2^12 - 
      471*T1^14*T2^12 - 56*T1^15*T2^12 + 49*T1^16*T2^12 - 41*T1^5*T2^13 + 
      133*T1^6*T2^13 + 31*T1^7*T2^13 - 726*T1^8*T2^13 + 1306*T1^9*T2^13 - 
      517*T1^10*T2^13 - 517*T1^11*T2^13 + 1306*T1^12*T2^13 - 
      726*T1^13*T2^13 + 31*T1^14*T2^13 + 133*T1^15*T2^13 - 41*T1^16*T2^13 + 
      22*T1^6*T2^14 - 105*T1^7*T2^14 + 162*T1^8*T2^14 + 31*T1^9*T2^14 - 
      471*T1^10*T2^14 + 630*T1^11*T2^14 - 471*T1^12*T2^14 + 31*T1^13*T2^14 + 
      162*T1^14*T2^14 - 105*T1^15*T2^14 + 22*T1^16*T2^14 - 7*T1^7*T2^15 + 
      42*T1^8*T2^15 - 105*T1^9*T2^15 + 133*T1^10*T2^15 - 56*T1^11*T2^15 - 
      56*T1^12*T2^15 + 133*T1^13*T2^15 - 105*T1^14*T2^15 + 42*T1^15*T2^15 - 
      7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 22*T1^10*T2^16 - 
      41*T1^11*T2^16 + 49*T1^12*T2^16 - 41*T1^13*T2^16 + 22*T1^14*T2^16 - 
      7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 243] -> 
  {-((2 - 12*T + 31*T^2 - 43*T^3 + 31*T^4 - 12*T^5 + 2*T^6)/T^3), 
   -((1 - 7*T1 + 19*T1^2 - 27*T1^3 + 19*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 84*T1^2*T2 + 56*T1^3*T2 + 56*T1^4*T2 - 84*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 19*T2^2 - 84*T1*T2^2 + 32*T1^2*T2^2 + 
      312*T1^3*T2^2 - 646*T1^4*T2^2 + 312*T1^5*T2^2 + 32*T1^6*T2^2 - 
      84*T1^7*T2^2 + 19*T1^8*T2^2 - 27*T2^3 + 56*T1*T2^3 + 312*T1^2*T2^3 - 
      994*T1^3*T2^3 + 814*T1^4*T2^3 + 814*T1^5*T2^3 - 994*T1^6*T2^3 + 
      312*T1^7*T2^3 + 56*T1^8*T2^3 - 27*T1^9*T2^3 + 19*T2^4 + 56*T1*T2^4 - 
      646*T1^2*T2^4 + 814*T1^3*T2^4 + 995*T1^4*T2^4 - 3241*T1^5*T2^4 + 
      995*T1^6*T2^4 + 814*T1^7*T2^4 - 646*T1^8*T2^4 + 56*T1^9*T2^4 + 
      19*T1^10*T2^4 - 7*T2^5 - 84*T1*T2^5 + 312*T1^2*T2^5 + 814*T1^3*T2^5 - 
      3241*T1^4*T2^5 + 2836*T1^5*T2^5 + 2836*T1^6*T2^5 - 3241*T1^7*T2^5 + 
      814*T1^8*T2^5 + 312*T1^9*T2^5 - 84*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 + 32*T1^2*T2^6 - 994*T1^3*T2^6 + 995*T1^4*T2^6 + 
      2836*T1^5*T2^6 - 7308*T1^6*T2^6 + 2836*T1^7*T2^6 + 995*T1^8*T2^6 - 
      994*T1^9*T2^6 + 32*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 84*T1^2*T2^7 + 312*T1^3*T2^7 + 814*T1^4*T2^7 - 
      3241*T1^5*T2^7 + 2836*T1^6*T2^7 + 2836*T1^7*T2^7 - 3241*T1^8*T2^7 + 
      814*T1^9*T2^7 + 312*T1^10*T2^7 - 84*T1^11*T2^7 - 7*T1^12*T2^7 + 
      19*T1^2*T2^8 + 56*T1^3*T2^8 - 646*T1^4*T2^8 + 814*T1^5*T2^8 + 
      995*T1^6*T2^8 - 3241*T1^7*T2^8 + 995*T1^8*T2^8 + 814*T1^9*T2^8 - 
      646*T1^10*T2^8 + 56*T1^11*T2^8 + 19*T1^12*T2^8 - 27*T1^3*T2^9 + 
      56*T1^4*T2^9 + 312*T1^5*T2^9 - 994*T1^6*T2^9 + 814*T1^7*T2^9 + 
      814*T1^8*T2^9 - 994*T1^9*T2^9 + 312*T1^10*T2^9 + 56*T1^11*T2^9 - 
      27*T1^12*T2^9 + 19*T1^4*T2^10 - 84*T1^5*T2^10 + 32*T1^6*T2^10 + 
      312*T1^7*T2^10 - 646*T1^8*T2^10 + 312*T1^9*T2^10 + 32*T1^10*T2^10 - 
      84*T1^11*T2^10 + 19*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      84*T1^7*T2^11 + 56*T1^8*T2^11 + 56*T1^9*T2^11 - 84*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      19*T1^8*T2^12 - 27*T1^9*T2^12 + 19*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 244] -> 
  {(5 - 24*T + 56*T^2 - 73*T^3 + 56*T^4 - 24*T^5 + 5*T^6)/T^3, 
   -((145 - 675*T1 + 1557*T1^2 - 2017*T1^3 + 1557*T1^4 - 675*T1^5 + 
      145*T1^6 - 675*T2 + 2480*T1*T2 - 4133*T1^2*T2 + 2160*T1^3*T2 + 
      2160*T1^4*T2 - 4133*T1^5*T2 + 2480*T1^6*T2 - 675*T1^7*T2 + 1557*T2^2 - 
      4133*T1*T2^2 + 3646*T1^2*T2^2 + 4998*T1^3*T2^2 - 10602*T1^4*T2^2 + 
      4998*T1^5*T2^2 + 3646*T1^6*T2^2 - 4133*T1^7*T2^2 + 1557*T1^8*T2^2 - 
      2017*T2^3 + 2160*T1*T2^3 + 4998*T1^2*T2^3 - 18574*T1^3*T2^3 + 
      11186*T1^4*T2^3 + 11186*T1^5*T2^3 - 18574*T1^6*T2^3 + 4998*T1^7*T2^3 + 
      2160*T1^8*T2^3 - 2017*T1^9*T2^3 + 1557*T2^4 + 2160*T1*T2^4 - 
      10602*T1^2*T2^4 + 11186*T1^3*T2^4 + 24002*T1^4*T2^4 - 47328*T1^5*T2^4 + 
      24002*T1^6*T2^4 + 11186*T1^7*T2^4 - 10602*T1^8*T2^4 + 2160*T1^9*T2^4 + 
      1557*T1^10*T2^4 - 675*T2^5 - 4133*T1*T2^5 + 4998*T1^2*T2^5 + 
      11186*T1^3*T2^5 - 47328*T1^4*T2^5 + 28890*T1^5*T2^5 + 28890*T1^6*T2^5 - 
      47328*T1^7*T2^5 + 11186*T1^8*T2^5 + 4998*T1^9*T2^5 - 4133*T1^10*T2^5 - 
      675*T1^11*T2^5 + 145*T2^6 + 2480*T1*T2^6 + 3646*T1^2*T2^6 - 
      18574*T1^3*T2^6 + 24002*T1^4*T2^6 + 28890*T1^5*T2^6 - 64968*T1^6*T2^6 + 
      28890*T1^7*T2^6 + 24002*T1^8*T2^6 - 18574*T1^9*T2^6 + 3646*T1^10*T2^6 + 
      2480*T1^11*T2^6 + 145*T1^12*T2^6 - 675*T1*T2^7 - 4133*T1^2*T2^7 + 
      4998*T1^3*T2^7 + 11186*T1^4*T2^7 - 47328*T1^5*T2^7 + 28890*T1^6*T2^7 + 
      28890*T1^7*T2^7 - 47328*T1^8*T2^7 + 11186*T1^9*T2^7 + 4998*T1^10*T2^7 - 
      4133*T1^11*T2^7 - 675*T1^12*T2^7 + 1557*T1^2*T2^8 + 2160*T1^3*T2^8 - 
      10602*T1^4*T2^8 + 11186*T1^5*T2^8 + 24002*T1^6*T2^8 - 47328*T1^7*T2^8 + 
      24002*T1^8*T2^8 + 11186*T1^9*T2^8 - 10602*T1^10*T2^8 + 
      2160*T1^11*T2^8 + 1557*T1^12*T2^8 - 2017*T1^3*T2^9 + 2160*T1^4*T2^9 + 
      4998*T1^5*T2^9 - 18574*T1^6*T2^9 + 11186*T1^7*T2^9 + 11186*T1^8*T2^9 - 
      18574*T1^9*T2^9 + 4998*T1^10*T2^9 + 2160*T1^11*T2^9 - 2017*T1^12*T2^9 + 
      1557*T1^4*T2^10 - 4133*T1^5*T2^10 + 3646*T1^6*T2^10 + 4998*T1^7*T2^10 - 
      10602*T1^8*T2^10 + 4998*T1^9*T2^10 + 3646*T1^10*T2^10 - 
      4133*T1^11*T2^10 + 1557*T1^12*T2^10 - 675*T1^5*T2^11 + 
      2480*T1^6*T2^11 - 4133*T1^7*T2^11 + 2160*T1^8*T2^11 + 2160*T1^9*T2^11 - 
      4133*T1^10*T2^11 + 2480*T1^11*T2^11 - 675*T1^12*T2^11 + 
      145*T1^6*T2^12 - 675*T1^7*T2^12 + 1557*T1^8*T2^12 - 2017*T1^9*T2^12 + 
      1557*T1^10*T2^12 - 675*T1^11*T2^12 + 145*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   (1 - 2*T1 + T1^2 + 5*T1^3 + T1^4 - 2*T1^5 + T1^6 - 2*T2 - 10*T1*T2 + 
     36*T1^2*T2 - 52*T1^3*T2 - 52*T1^4*T2 + 36*T1^5*T2 - 10*T1^6*T2 - 
     2*T1^7*T2 + T2^2 + 36*T1*T2^2 - 20*T1^2*T2^2 - 169*T1^3*T2^2 + 
     600*T1^4*T2^2 - 169*T1^5*T2^2 - 20*T1^6*T2^2 + 36*T1^7*T2^2 + 
     T1^8*T2^2 + 5*T2^3 - 52*T1*T2^3 - 169*T1^2*T2^3 + 692*T1^3*T2^3 - 
     961*T1^4*T2^3 - 961*T1^5*T2^3 + 692*T1^6*T2^3 - 169*T1^7*T2^3 - 
     52*T1^8*T2^3 + 5*T1^9*T2^3 + T2^4 - 52*T1*T2^4 + 600*T1^2*T2^4 - 
     961*T1^3*T2^4 - 155*T1^4*T2^4 + 3305*T1^5*T2^4 - 155*T1^6*T2^4 - 
     961*T1^7*T2^4 + 600*T1^8*T2^4 - 52*T1^9*T2^4 + T1^10*T2^4 - 2*T2^5 + 
     36*T1*T2^5 - 169*T1^2*T2^5 - 961*T1^3*T2^5 + 3305*T1^4*T2^5 - 
     3946*T1^5*T2^5 - 3946*T1^6*T2^5 + 3305*T1^7*T2^5 - 961*T1^8*T2^5 - 
     169*T1^9*T2^5 + 36*T1^10*T2^5 - 2*T1^11*T2^5 + T2^6 - 10*T1*T2^6 - 
     20*T1^2*T2^6 + 692*T1^3*T2^6 - 155*T1^4*T2^6 - 3946*T1^5*T2^6 + 
     10932*T1^6*T2^6 - 3946*T1^7*T2^6 - 155*T1^8*T2^6 + 692*T1^9*T2^6 - 
     20*T1^10*T2^6 - 10*T1^11*T2^6 + T1^12*T2^6 - 2*T1*T2^7 + 36*T1^2*T2^7 - 
     169*T1^3*T2^7 - 961*T1^4*T2^7 + 3305*T1^5*T2^7 - 3946*T1^6*T2^7 - 
     3946*T1^7*T2^7 + 3305*T1^8*T2^7 - 961*T1^9*T2^7 - 169*T1^10*T2^7 + 
     36*T1^11*T2^7 - 2*T1^12*T2^7 + T1^2*T2^8 - 52*T1^3*T2^8 + 
     600*T1^4*T2^8 - 961*T1^5*T2^8 - 155*T1^6*T2^8 + 3305*T1^7*T2^8 - 
     155*T1^8*T2^8 - 961*T1^9*T2^8 + 600*T1^10*T2^8 - 52*T1^11*T2^8 + 
     T1^12*T2^8 + 5*T1^3*T2^9 - 52*T1^4*T2^9 - 169*T1^5*T2^9 + 
     692*T1^6*T2^9 - 961*T1^7*T2^9 - 961*T1^8*T2^9 + 692*T1^9*T2^9 - 
     169*T1^10*T2^9 - 52*T1^11*T2^9 + 5*T1^12*T2^9 + T1^4*T2^10 + 
     36*T1^5*T2^10 - 20*T1^6*T2^10 - 169*T1^7*T2^10 + 600*T1^8*T2^10 - 
     169*T1^9*T2^10 - 20*T1^10*T2^10 + 36*T1^11*T2^10 + T1^12*T2^10 - 
     2*T1^5*T2^11 - 10*T1^6*T2^11 + 36*T1^7*T2^11 - 52*T1^8*T2^11 - 
     52*T1^9*T2^11 + 36*T1^10*T2^11 - 10*T1^11*T2^11 - 2*T1^12*T2^11 + 
     T1^6*T2^12 - 2*T1^7*T2^12 + T1^8*T2^12 + 5*T1^9*T2^12 + T1^10*T2^12 - 
     2*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 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, 
   (2 - 14*T1 + 40*T1^2 - 62*T1^3 + 70*T1^4 - 62*T1^5 + 40*T1^6 - 14*T1^7 + 
     2*T1^8 - 14*T2 + 84*T1*T2 - 182*T1^2*T2 + 154*T1^3*T2 - 56*T1^4*T2 - 
     56*T1^5*T2 + 154*T1^6*T2 - 182*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
     40*T2^2 - 182*T1*T2^2 + 159*T1^2*T2^2 + 418*T1^3*T2^2 - 808*T1^4*T2^2 + 
     917*T1^5*T2^2 - 808*T1^6*T2^2 + 418*T1^7*T2^2 + 159*T1^8*T2^2 - 
     182*T1^9*T2^2 + 40*T1^10*T2^2 - 62*T2^3 + 154*T1*T2^3 + 418*T1^2*T2^3 - 
     1716*T1^3*T2^3 + 1341*T1^4*T2^3 - 443*T1^5*T2^3 - 443*T1^6*T2^3 + 
     1341*T1^7*T2^3 - 1716*T1^8*T2^3 + 418*T1^9*T2^3 + 154*T1^10*T2^3 - 
     62*T1^11*T2^3 + 70*T2^4 - 56*T1*T2^4 - 808*T1^2*T2^4 + 1341*T1^3*T2^4 + 
     1770*T1^4*T2^4 - 3537*T1^5*T2^4 + 3940*T1^6*T2^4 - 3537*T1^7*T2^4 + 
     1770*T1^8*T2^4 + 1341*T1^9*T2^4 - 808*T1^10*T2^4 - 56*T1^11*T2^4 + 
     70*T1^12*T2^4 - 62*T2^5 - 56*T1*T2^5 + 917*T1^2*T2^5 - 443*T1^3*T2^5 - 
     3537*T1^4*T2^5 + 2634*T1^5*T2^5 - 805*T1^6*T2^5 - 805*T1^7*T2^5 + 
     2634*T1^8*T2^5 - 3537*T1^9*T2^5 - 443*T1^10*T2^5 + 917*T1^11*T2^5 - 
     56*T1^12*T2^5 - 62*T1^13*T2^5 + 40*T2^6 + 154*T1*T2^6 - 808*T1^2*T2^6 - 
     443*T1^3*T2^6 + 3940*T1^4*T2^6 - 805*T1^5*T2^6 - 354*T1^6*T2^6 + 
     438*T1^7*T2^6 - 354*T1^8*T2^6 - 805*T1^9*T2^6 + 3940*T1^10*T2^6 - 
     443*T1^11*T2^6 - 808*T1^12*T2^6 + 154*T1^13*T2^6 + 40*T1^14*T2^6 - 
     14*T2^7 - 182*T1*T2^7 + 418*T1^2*T2^7 + 1341*T1^3*T2^7 - 
     3537*T1^4*T2^7 - 805*T1^5*T2^7 + 438*T1^6*T2^7 - 14*T1^7*T2^7 - 
     14*T1^8*T2^7 + 438*T1^9*T2^7 - 805*T1^10*T2^7 - 3537*T1^11*T2^7 + 
     1341*T1^12*T2^7 + 418*T1^13*T2^7 - 182*T1^14*T2^7 - 14*T1^15*T2^7 + 
     2*T2^8 + 84*T1*T2^8 + 159*T1^2*T2^8 - 1716*T1^3*T2^8 + 1770*T1^4*T2^8 + 
     2634*T1^5*T2^8 - 354*T1^6*T2^8 - 14*T1^7*T2^8 - 132*T1^8*T2^8 - 
     14*T1^9*T2^8 - 354*T1^10*T2^8 + 2634*T1^11*T2^8 + 1770*T1^12*T2^8 - 
     1716*T1^13*T2^8 + 159*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 
     14*T1*T2^9 - 182*T1^2*T2^9 + 418*T1^3*T2^9 + 1341*T1^4*T2^9 - 
     3537*T1^5*T2^9 - 805*T1^6*T2^9 + 438*T1^7*T2^9 - 14*T1^8*T2^9 - 
     14*T1^9*T2^9 + 438*T1^10*T2^9 - 805*T1^11*T2^9 - 3537*T1^12*T2^9 + 
     1341*T1^13*T2^9 + 418*T1^14*T2^9 - 182*T1^15*T2^9 - 14*T1^16*T2^9 + 
     40*T1^2*T2^10 + 154*T1^3*T2^10 - 808*T1^4*T2^10 - 443*T1^5*T2^10 + 
     3940*T1^6*T2^10 - 805*T1^7*T2^10 - 354*T1^8*T2^10 + 438*T1^9*T2^10 - 
     354*T1^10*T2^10 - 805*T1^11*T2^10 + 3940*T1^12*T2^10 - 443*T1^13*T2^10 - 
     808*T1^14*T2^10 + 154*T1^15*T2^10 + 40*T1^16*T2^10 - 62*T1^3*T2^11 - 
     56*T1^4*T2^11 + 917*T1^5*T2^11 - 443*T1^6*T2^11 - 3537*T1^7*T2^11 + 
     2634*T1^8*T2^11 - 805*T1^9*T2^11 - 805*T1^10*T2^11 + 2634*T1^11*T2^11 - 
     3537*T1^12*T2^11 - 443*T1^13*T2^11 + 917*T1^14*T2^11 - 56*T1^15*T2^11 - 
     62*T1^16*T2^11 + 70*T1^4*T2^12 - 56*T1^5*T2^12 - 808*T1^6*T2^12 + 
     1341*T1^7*T2^12 + 1770*T1^8*T2^12 - 3537*T1^9*T2^12 + 3940*T1^10*T2^12 - 
     3537*T1^11*T2^12 + 1770*T1^12*T2^12 + 1341*T1^13*T2^12 - 
     808*T1^14*T2^12 - 56*T1^15*T2^12 + 70*T1^16*T2^12 - 62*T1^5*T2^13 + 
     154*T1^6*T2^13 + 418*T1^7*T2^13 - 1716*T1^8*T2^13 + 1341*T1^9*T2^13 - 
     443*T1^10*T2^13 - 443*T1^11*T2^13 + 1341*T1^12*T2^13 - 
     1716*T1^13*T2^13 + 418*T1^14*T2^13 + 154*T1^15*T2^13 - 62*T1^16*T2^13 + 
     40*T1^6*T2^14 - 182*T1^7*T2^14 + 159*T1^8*T2^14 + 418*T1^9*T2^14 - 
     808*T1^10*T2^14 + 917*T1^11*T2^14 - 808*T1^12*T2^14 + 418*T1^13*T2^14 + 
     159*T1^14*T2^14 - 182*T1^15*T2^14 + 40*T1^16*T2^14 - 14*T1^7*T2^15 + 
     84*T1^8*T2^15 - 182*T1^9*T2^15 + 154*T1^10*T2^15 - 56*T1^11*T2^15 - 
     56*T1^12*T2^15 + 154*T1^13*T2^15 - 182*T1^14*T2^15 + 84*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)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 247] -> 
  {(2 - 14*T + 39*T^2 - 53*T^3 + 39*T^4 - 14*T^5 + 2*T^6)/T^3, 
   (9 - 63*T1 + 175*T1^2 - 237*T1^3 + 175*T1^4 - 63*T1^5 + 9*T1^6 - 63*T2 + 
     378*T1*T2 - 784*T1^2*T2 + 434*T1^3*T2 + 434*T1^4*T2 - 784*T1^5*T2 + 
     378*T1^6*T2 - 63*T1^7*T2 + 175*T2^2 - 784*T1*T2^2 + 515*T1^2*T2^2 + 
     2621*T1^3*T2^2 - 4633*T1^4*T2^2 + 2621*T1^5*T2^2 + 515*T1^6*T2^2 - 
     784*T1^7*T2^2 + 175*T1^8*T2^2 - 237*T2^3 + 434*T1*T2^3 + 
     2621*T1^2*T2^3 - 8784*T1^3*T2^3 + 5234*T1^4*T2^3 + 5234*T1^5*T2^3 - 
     8784*T1^6*T2^3 + 2621*T1^7*T2^3 + 434*T1^8*T2^3 - 237*T1^9*T2^3 + 
     175*T2^4 + 434*T1*T2^4 - 4633*T1^2*T2^4 + 5234*T1^3*T2^4 + 
     13130*T1^4*T2^4 - 25348*T1^5*T2^4 + 13130*T1^6*T2^4 + 5234*T1^7*T2^4 - 
     4633*T1^8*T2^4 + 434*T1^9*T2^4 + 175*T1^10*T2^4 - 63*T2^5 - 
     784*T1*T2^5 + 2621*T1^2*T2^5 + 5234*T1^3*T2^5 - 25348*T1^4*T2^5 + 
     15684*T1^5*T2^5 + 15684*T1^6*T2^5 - 25348*T1^7*T2^5 + 5234*T1^8*T2^5 + 
     2621*T1^9*T2^5 - 784*T1^10*T2^5 - 63*T1^11*T2^5 + 9*T2^6 + 378*T1*T2^6 + 
     515*T1^2*T2^6 - 8784*T1^3*T2^6 + 13130*T1^4*T2^6 + 15684*T1^5*T2^6 - 
     35688*T1^6*T2^6 + 15684*T1^7*T2^6 + 13130*T1^8*T2^6 - 8784*T1^9*T2^6 + 
     515*T1^10*T2^6 + 378*T1^11*T2^6 + 9*T1^12*T2^6 - 63*T1*T2^7 - 
     784*T1^2*T2^7 + 2621*T1^3*T2^7 + 5234*T1^4*T2^7 - 25348*T1^5*T2^7 + 
     15684*T1^6*T2^7 + 15684*T1^7*T2^7 - 25348*T1^8*T2^7 + 5234*T1^9*T2^7 + 
     2621*T1^10*T2^7 - 784*T1^11*T2^7 - 63*T1^12*T2^7 + 175*T1^2*T2^8 + 
     434*T1^3*T2^8 - 4633*T1^4*T2^8 + 5234*T1^5*T2^8 + 13130*T1^6*T2^8 - 
     25348*T1^7*T2^8 + 13130*T1^8*T2^8 + 5234*T1^9*T2^8 - 4633*T1^10*T2^8 + 
     434*T1^11*T2^8 + 175*T1^12*T2^8 - 237*T1^3*T2^9 + 434*T1^4*T2^9 + 
     2621*T1^5*T2^9 - 8784*T1^6*T2^9 + 5234*T1^7*T2^9 + 5234*T1^8*T2^9 - 
     8784*T1^9*T2^9 + 2621*T1^10*T2^9 + 434*T1^11*T2^9 - 237*T1^12*T2^9 + 
     175*T1^4*T2^10 - 784*T1^5*T2^10 + 515*T1^6*T2^10 + 2621*T1^7*T2^10 - 
     4633*T1^8*T2^10 + 2621*T1^9*T2^10 + 515*T1^10*T2^10 - 784*T1^11*T2^10 + 
     175*T1^12*T2^10 - 63*T1^5*T2^11 + 378*T1^6*T2^11 - 784*T1^7*T2^11 + 
     434*T1^8*T2^11 + 434*T1^9*T2^11 - 784*T1^10*T2^11 + 378*T1^11*T2^11 - 
     63*T1^12*T2^11 + 9*T1^6*T2^12 - 63*T1^7*T2^12 + 175*T1^8*T2^12 - 
     237*T1^9*T2^12 + 175*T1^10*T2^12 - 63*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 248] -> 
  {-(((1 - 3*T + T^2)*(2 - 7*T + 11*T^2 - 7*T^3 + 2*T^4))/T^3), 
   (1 - 7*T1 + 20*T1^2 - 29*T1^3 + 20*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
     42*T1*T2 - 91*T1^2*T2 + 63*T1^3*T2 + 63*T1^4*T2 - 91*T1^5*T2 + 
     42*T1^6*T2 - 7*T1^7*T2 + 20*T2^2 - 91*T1*T2^2 + 72*T1^2*T2^2 + 
     272*T1^3*T2^2 - 650*T1^4*T2^2 + 272*T1^5*T2^2 + 72*T1^6*T2^2 - 
     91*T1^7*T2^2 + 20*T1^8*T2^2 - 29*T2^3 + 63*T1*T2^3 + 272*T1^2*T2^3 - 
     996*T1^3*T2^3 + 931*T1^4*T2^3 + 931*T1^5*T2^3 - 996*T1^6*T2^3 + 
     272*T1^7*T2^3 + 63*T1^8*T2^3 - 29*T1^9*T2^3 + 20*T2^4 + 63*T1*T2^4 - 
     650*T1^2*T2^4 + 931*T1^3*T2^4 + 702*T1^4*T2^4 - 3552*T1^5*T2^4 + 
     702*T1^6*T2^4 + 931*T1^7*T2^4 - 650*T1^8*T2^4 + 63*T1^9*T2^4 + 
     20*T1^10*T2^4 - 7*T2^5 - 91*T1*T2^5 + 272*T1^2*T2^5 + 931*T1^3*T2^5 - 
     3552*T1^4*T2^5 + 3794*T1^5*T2^5 + 3794*T1^6*T2^5 - 3552*T1^7*T2^5 + 
     931*T1^8*T2^5 + 272*T1^9*T2^5 - 91*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
     42*T1*T2^6 + 72*T1^2*T2^6 - 996*T1^3*T2^6 + 702*T1^4*T2^6 + 
     3794*T1^5*T2^6 - 10560*T1^6*T2^6 + 3794*T1^7*T2^6 + 702*T1^8*T2^6 - 
     996*T1^9*T2^6 + 72*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 7*T1*T2^7 - 
     91*T1^2*T2^7 + 272*T1^3*T2^7 + 931*T1^4*T2^7 - 3552*T1^5*T2^7 + 
     3794*T1^6*T2^7 + 3794*T1^7*T2^7 - 3552*T1^8*T2^7 + 931*T1^9*T2^7 + 
     272*T1^10*T2^7 - 91*T1^11*T2^7 - 7*T1^12*T2^7 + 20*T1^2*T2^8 + 
     63*T1^3*T2^8 - 650*T1^4*T2^8 + 931*T1^5*T2^8 + 702*T1^6*T2^8 - 
     3552*T1^7*T2^8 + 702*T1^8*T2^8 + 931*T1^9*T2^8 - 650*T1^10*T2^8 + 
     63*T1^11*T2^8 + 20*T1^12*T2^8 - 29*T1^3*T2^9 + 63*T1^4*T2^9 + 
     272*T1^5*T2^9 - 996*T1^6*T2^9 + 931*T1^7*T2^9 + 931*T1^8*T2^9 - 
     996*T1^9*T2^9 + 272*T1^10*T2^9 + 63*T1^11*T2^9 - 29*T1^12*T2^9 + 
     20*T1^4*T2^10 - 91*T1^5*T2^10 + 72*T1^6*T2^10 + 272*T1^7*T2^10 - 
     650*T1^8*T2^10 + 272*T1^9*T2^10 + 72*T1^10*T2^10 - 91*T1^11*T2^10 + 
     20*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 91*T1^7*T2^11 + 
     63*T1^8*T2^11 + 63*T1^9*T2^11 - 91*T1^10*T2^11 + 42*T1^11*T2^11 - 
     7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 20*T1^8*T2^12 - 
     29*T1^9*T2^12 + 20*T1^10*T2^12 - 7*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 249] -> 
  {(2 - 13*T + 36*T^2 - 49*T^3 + 36*T^4 - 13*T^5 + 2*T^6)/T^3, 
   -((9 - 59*T1 + 164*T1^2 - 223*T1^3 + 164*T1^4 - 59*T1^5 + 9*T1^6 - 59*T2 + 
      328*T1*T2 - 689*T1^2*T2 + 387*T1^3*T2 + 387*T1^4*T2 - 689*T1^5*T2 + 
      328*T1^6*T2 - 59*T1^7*T2 + 164*T2^2 - 689*T1*T2^2 + 609*T1^2*T2^2 + 
      1970*T1^3*T2^2 - 3703*T1^4*T2^2 + 1970*T1^5*T2^2 + 609*T1^6*T2^2 - 
      689*T1^7*T2^2 + 164*T1^8*T2^2 - 223*T2^3 + 387*T1*T2^3 + 
      1970*T1^2*T2^3 - 7462*T1^3*T2^3 + 4593*T1^4*T2^3 + 4593*T1^5*T2^3 - 
      7462*T1^6*T2^3 + 1970*T1^7*T2^3 + 387*T1^8*T2^3 - 223*T1^9*T2^3 + 
      164*T2^4 + 387*T1*T2^4 - 3703*T1^2*T2^4 + 4593*T1^3*T2^4 + 
      12129*T1^4*T2^4 - 23655*T1^5*T2^4 + 12129*T1^6*T2^4 + 4593*T1^7*T2^4 - 
      3703*T1^8*T2^4 + 387*T1^9*T2^4 + 164*T1^10*T2^4 - 59*T2^5 - 
      689*T1*T2^5 + 1970*T1^2*T2^5 + 4593*T1^3*T2^5 - 23655*T1^4*T2^5 + 
      14984*T1^5*T2^5 + 14984*T1^6*T2^5 - 23655*T1^7*T2^5 + 4593*T1^8*T2^5 + 
      1970*T1^9*T2^5 - 689*T1^10*T2^5 - 59*T1^11*T2^5 + 9*T2^6 + 
      328*T1*T2^6 + 609*T1^2*T2^6 - 7462*T1^3*T2^6 + 12129*T1^4*T2^6 + 
      14984*T1^5*T2^6 - 34488*T1^6*T2^6 + 14984*T1^7*T2^6 + 12129*T1^8*T2^6 - 
      7462*T1^9*T2^6 + 609*T1^10*T2^6 + 328*T1^11*T2^6 + 9*T1^12*T2^6 - 
      59*T1*T2^7 - 689*T1^2*T2^7 + 1970*T1^3*T2^7 + 4593*T1^4*T2^7 - 
      23655*T1^5*T2^7 + 14984*T1^6*T2^7 + 14984*T1^7*T2^7 - 23655*T1^8*T2^7 + 
      4593*T1^9*T2^7 + 1970*T1^10*T2^7 - 689*T1^11*T2^7 - 59*T1^12*T2^7 + 
      164*T1^2*T2^8 + 387*T1^3*T2^8 - 3703*T1^4*T2^8 + 4593*T1^5*T2^8 + 
      12129*T1^6*T2^8 - 23655*T1^7*T2^8 + 12129*T1^8*T2^8 + 4593*T1^9*T2^8 - 
      3703*T1^10*T2^8 + 387*T1^11*T2^8 + 164*T1^12*T2^8 - 223*T1^3*T2^9 + 
      387*T1^4*T2^9 + 1970*T1^5*T2^9 - 7462*T1^6*T2^9 + 4593*T1^7*T2^9 + 
      4593*T1^8*T2^9 - 7462*T1^9*T2^9 + 1970*T1^10*T2^9 + 387*T1^11*T2^9 - 
      223*T1^12*T2^9 + 164*T1^4*T2^10 - 689*T1^5*T2^10 + 609*T1^6*T2^10 + 
      1970*T1^7*T2^10 - 3703*T1^8*T2^10 + 1970*T1^9*T2^10 + 609*T1^10*T2^10 - 
      689*T1^11*T2^10 + 164*T1^12*T2^10 - 59*T1^5*T2^11 + 328*T1^6*T2^11 - 
      689*T1^7*T2^11 + 387*T1^8*T2^11 + 387*T1^9*T2^11 - 689*T1^10*T2^11 + 
      328*T1^11*T2^11 - 59*T1^12*T2^11 + 9*T1^6*T2^12 - 59*T1^7*T2^12 + 
      164*T1^8*T2^12 - 223*T1^9*T2^12 + 164*T1^10*T2^12 - 59*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   (2 - 14*T1 + 40*T1^2 - 64*T1^3 + 74*T1^4 - 64*T1^5 + 40*T1^6 - 14*T1^7 + 
     2*T1^8 - 14*T2 + 84*T1*T2 - 182*T1^2*T2 + 168*T1^3*T2 - 70*T1^4*T2 - 
     70*T1^5*T2 + 168*T1^6*T2 - 182*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
     40*T2^2 - 182*T1*T2^2 + 159*T1^2*T2^2 + 379*T1^3*T2^2 - 827*T1^4*T2^2 + 
     1033*T1^5*T2^2 - 827*T1^6*T2^2 + 379*T1^7*T2^2 + 159*T1^8*T2^2 - 
     182*T1^9*T2^2 + 40*T1^10*T2^2 - 64*T2^3 + 168*T1*T2^3 + 379*T1^2*T2^3 - 
     1596*T1^3*T2^3 + 1432*T1^4*T2^3 - 628*T1^5*T2^3 - 628*T1^6*T2^3 + 
     1432*T1^7*T2^3 - 1596*T1^8*T2^3 + 379*T1^9*T2^3 + 168*T1^10*T2^3 - 
     64*T1^11*T2^3 + 74*T2^4 - 70*T1*T2^4 - 827*T1^2*T2^4 + 1432*T1^3*T2^4 + 
     1121*T1^4*T2^4 - 2919*T1^5*T2^4 + 3899*T1^6*T2^4 - 2919*T1^7*T2^4 + 
     1121*T1^8*T2^4 + 1432*T1^9*T2^4 - 827*T1^10*T2^4 - 70*T1^11*T2^4 + 
     74*T1^12*T2^4 - 64*T2^5 - 70*T1*T2^5 + 1033*T1^2*T2^5 - 628*T1^3*T2^5 - 
     2919*T1^4*T2^5 + 2596*T1^5*T2^5 - 1345*T1^6*T2^5 - 1345*T1^7*T2^5 + 
     2596*T1^8*T2^5 - 2919*T1^9*T2^5 - 628*T1^10*T2^5 + 1033*T1^11*T2^5 - 
     70*T1^12*T2^5 - 64*T1^13*T2^5 + 40*T2^6 + 168*T1*T2^6 - 827*T1^2*T2^6 - 
     628*T1^3*T2^6 + 3899*T1^4*T2^6 - 1345*T1^5*T2^6 + 58*T1^6*T2^6 + 
     1368*T1^7*T2^6 + 58*T1^8*T2^6 - 1345*T1^9*T2^6 + 3899*T1^10*T2^6 - 
     628*T1^11*T2^6 - 827*T1^12*T2^6 + 168*T1^13*T2^6 + 40*T1^14*T2^6 - 
     14*T2^7 - 182*T1*T2^7 + 379*T1^2*T2^7 + 1432*T1^3*T2^7 - 
     2919*T1^4*T2^7 - 1345*T1^5*T2^7 + 1368*T1^6*T2^7 - 1238*T1^7*T2^7 - 
     1238*T1^8*T2^7 + 1368*T1^9*T2^7 - 1345*T1^10*T2^7 - 2919*T1^11*T2^7 + 
     1432*T1^12*T2^7 + 379*T1^13*T2^7 - 182*T1^14*T2^7 - 14*T1^15*T2^7 + 
     2*T2^8 + 84*T1*T2^8 + 159*T1^2*T2^8 - 1596*T1^3*T2^8 + 1121*T1^4*T2^8 + 
     2596*T1^5*T2^8 + 58*T1^6*T2^8 - 1238*T1^7*T2^8 + 3000*T1^8*T2^8 - 
     1238*T1^9*T2^8 + 58*T1^10*T2^8 + 2596*T1^11*T2^8 + 1121*T1^12*T2^8 - 
     1596*T1^13*T2^8 + 159*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 
     14*T1*T2^9 - 182*T1^2*T2^9 + 379*T1^3*T2^9 + 1432*T1^4*T2^9 - 
     2919*T1^5*T2^9 - 1345*T1^6*T2^9 + 1368*T1^7*T2^9 - 1238*T1^8*T2^9 - 
     1238*T1^9*T2^9 + 1368*T1^10*T2^9 - 1345*T1^11*T2^9 - 2919*T1^12*T2^9 + 
     1432*T1^13*T2^9 + 379*T1^14*T2^9 - 182*T1^15*T2^9 - 14*T1^16*T2^9 + 
     40*T1^2*T2^10 + 168*T1^3*T2^10 - 827*T1^4*T2^10 - 628*T1^5*T2^10 + 
     3899*T1^6*T2^10 - 1345*T1^7*T2^10 + 58*T1^8*T2^10 + 1368*T1^9*T2^10 + 
     58*T1^10*T2^10 - 1345*T1^11*T2^10 + 3899*T1^12*T2^10 - 628*T1^13*T2^10 - 
     827*T1^14*T2^10 + 168*T1^15*T2^10 + 40*T1^16*T2^10 - 64*T1^3*T2^11 - 
     70*T1^4*T2^11 + 1033*T1^5*T2^11 - 628*T1^6*T2^11 - 2919*T1^7*T2^11 + 
     2596*T1^8*T2^11 - 1345*T1^9*T2^11 - 1345*T1^10*T2^11 + 
     2596*T1^11*T2^11 - 2919*T1^12*T2^11 - 628*T1^13*T2^11 + 
     1033*T1^14*T2^11 - 70*T1^15*T2^11 - 64*T1^16*T2^11 + 74*T1^4*T2^12 - 
     70*T1^5*T2^12 - 827*T1^6*T2^12 + 1432*T1^7*T2^12 + 1121*T1^8*T2^12 - 
     2919*T1^9*T2^12 + 3899*T1^10*T2^12 - 2919*T1^11*T2^12 + 
     1121*T1^12*T2^12 + 1432*T1^13*T2^12 - 827*T1^14*T2^12 - 70*T1^15*T2^12 + 
     74*T1^16*T2^12 - 64*T1^5*T2^13 + 168*T1^6*T2^13 + 379*T1^7*T2^13 - 
     1596*T1^8*T2^13 + 1432*T1^9*T2^13 - 628*T1^10*T2^13 - 628*T1^11*T2^13 + 
     1432*T1^12*T2^13 - 1596*T1^13*T2^13 + 379*T1^14*T2^13 + 
     168*T1^15*T2^13 - 64*T1^16*T2^13 + 40*T1^6*T2^14 - 182*T1^7*T2^14 + 
     159*T1^8*T2^14 + 379*T1^9*T2^14 - 827*T1^10*T2^14 + 1033*T1^11*T2^14 - 
     827*T1^12*T2^14 + 379*T1^13*T2^14 + 159*T1^14*T2^14 - 182*T1^15*T2^14 + 
     40*T1^16*T2^14 - 14*T1^7*T2^15 + 84*T1^8*T2^15 - 182*T1^9*T2^15 + 
     168*T1^10*T2^15 - 70*T1^11*T2^15 - 70*T1^12*T2^15 + 168*T1^13*T2^15 - 
     182*T1^14*T2^15 + 84*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)/
    (T1^8*T2^8)}, Knot[12, Alternating, 251] -> 
  {(2 - 14*T + 38*T^2 - 51*T^3 + 38*T^4 - 14*T^5 + 2*T^6)/T^3, 
   (9 - 63*T1 + 171*T1^2 - 229*T1^3 + 171*T1^4 - 63*T1^5 + 9*T1^6 - 63*T2 + 
     378*T1*T2 - 756*T1^2*T2 + 406*T1^3*T2 + 406*T1^4*T2 - 756*T1^5*T2 + 
     378*T1^6*T2 - 63*T1^7*T2 + 171*T2^2 - 756*T1*T2^2 + 357*T1^2*T2^2 + 
     2729*T1^3*T2^2 - 4583*T1^4*T2^2 + 2729*T1^5*T2^2 + 357*T1^6*T2^2 - 
     756*T1^7*T2^2 + 171*T1^8*T2^2 - 229*T2^3 + 406*T1*T2^3 + 
     2729*T1^2*T2^3 - 8442*T1^3*T2^3 + 4816*T1^4*T2^3 + 4816*T1^5*T2^3 - 
     8442*T1^6*T2^3 + 2729*T1^7*T2^3 + 406*T1^8*T2^3 - 229*T1^9*T2^3 + 
     171*T2^4 + 406*T1*T2^4 - 4583*T1^2*T2^4 + 4816*T1^3*T2^4 + 
     12297*T1^4*T2^4 - 22991*T1^5*T2^4 + 12297*T1^6*T2^4 + 4816*T1^7*T2^4 - 
     4583*T1^8*T2^4 + 406*T1^9*T2^4 + 171*T1^10*T2^4 - 63*T2^5 - 
     756*T1*T2^5 + 2729*T1^2*T2^5 + 4816*T1^3*T2^5 - 22991*T1^4*T2^5 + 
     13734*T1^5*T2^5 + 13734*T1^6*T2^5 - 22991*T1^7*T2^5 + 4816*T1^8*T2^5 + 
     2729*T1^9*T2^5 - 756*T1^10*T2^5 - 63*T1^11*T2^5 + 9*T2^6 + 378*T1*T2^6 + 
     357*T1^2*T2^6 - 8442*T1^3*T2^6 + 12297*T1^4*T2^6 + 13734*T1^5*T2^6 - 
     30816*T1^6*T2^6 + 13734*T1^7*T2^6 + 12297*T1^8*T2^6 - 8442*T1^9*T2^6 + 
     357*T1^10*T2^6 + 378*T1^11*T2^6 + 9*T1^12*T2^6 - 63*T1*T2^7 - 
     756*T1^2*T2^7 + 2729*T1^3*T2^7 + 4816*T1^4*T2^7 - 22991*T1^5*T2^7 + 
     13734*T1^6*T2^7 + 13734*T1^7*T2^7 - 22991*T1^8*T2^7 + 4816*T1^9*T2^7 + 
     2729*T1^10*T2^7 - 756*T1^11*T2^7 - 63*T1^12*T2^7 + 171*T1^2*T2^8 + 
     406*T1^3*T2^8 - 4583*T1^4*T2^8 + 4816*T1^5*T2^8 + 12297*T1^6*T2^8 - 
     22991*T1^7*T2^8 + 12297*T1^8*T2^8 + 4816*T1^9*T2^8 - 4583*T1^10*T2^8 + 
     406*T1^11*T2^8 + 171*T1^12*T2^8 - 229*T1^3*T2^9 + 406*T1^4*T2^9 + 
     2729*T1^5*T2^9 - 8442*T1^6*T2^9 + 4816*T1^7*T2^9 + 4816*T1^8*T2^9 - 
     8442*T1^9*T2^9 + 2729*T1^10*T2^9 + 406*T1^11*T2^9 - 229*T1^12*T2^9 + 
     171*T1^4*T2^10 - 756*T1^5*T2^10 + 357*T1^6*T2^10 + 2729*T1^7*T2^10 - 
     4583*T1^8*T2^10 + 2729*T1^9*T2^10 + 357*T1^10*T2^10 - 756*T1^11*T2^10 + 
     171*T1^12*T2^10 - 63*T1^5*T2^11 + 378*T1^6*T2^11 - 756*T1^7*T2^11 + 
     406*T1^8*T2^11 + 406*T1^9*T2^11 - 756*T1^10*T2^11 + 378*T1^11*T2^11 - 
     63*T1^12*T2^11 + 9*T1^6*T2^12 - 63*T1^7*T2^12 + 171*T1^8*T2^12 - 
     229*T1^9*T2^12 + 171*T1^10*T2^12 - 63*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, 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), -((25 - 111*T1 + 206*T1^2 - 288*T1^3 + 323*T1^4 - 288*T1^5 + 
      206*T1^6 - 111*T1^7 + 25*T1^8 - 111*T2 + 384*T1*T2 - 429*T1^2*T2 + 
      372*T1^3*T2 - 159*T1^4*T2 - 159*T1^5*T2 + 372*T1^6*T2 - 429*T1^7*T2 + 
      384*T1^8*T2 - 111*T1^9*T2 + 206*T2^2 - 429*T1*T2^2 - 277*T1^2*T2^2 + 
      824*T1^3*T2^2 - 1426*T1^4*T2^2 + 1753*T1^5*T2^2 - 1426*T1^6*T2^2 + 
      824*T1^7*T2^2 - 277*T1^8*T2^2 - 429*T1^9*T2^2 + 206*T1^10*T2^2 - 
      288*T2^3 + 372*T1*T2^3 + 824*T1^2*T2^3 - 692*T1^3*T2^3 + 
      786*T1^4*T2^3 - 428*T1^5*T2^3 - 428*T1^6*T2^3 + 786*T1^7*T2^3 - 
      692*T1^8*T2^3 + 824*T1^9*T2^3 + 372*T1^10*T2^3 - 288*T1^11*T2^3 + 
      323*T2^4 - 159*T1*T2^4 - 1426*T1^2*T2^4 + 786*T1^3*T2^4 - 
      1609*T1^4*T2^4 + 1667*T1^5*T2^4 - 1385*T1^6*T2^4 + 1667*T1^7*T2^4 - 
      1609*T1^8*T2^4 + 786*T1^9*T2^4 - 1426*T1^10*T2^4 - 159*T1^11*T2^4 + 
      323*T1^12*T2^4 - 288*T2^5 - 159*T1*T2^5 + 1753*T1^2*T2^5 - 
      428*T1^3*T2^5 + 1667*T1^4*T2^5 - 888*T1^5*T2^5 + 107*T1^6*T2^5 + 
      107*T1^7*T2^5 - 888*T1^8*T2^5 + 1667*T1^9*T2^5 - 428*T1^10*T2^5 + 
      1753*T1^11*T2^5 - 159*T1^12*T2^5 - 288*T1^13*T2^5 + 206*T2^6 + 
      372*T1*T2^6 - 1426*T1^2*T2^6 - 428*T1^3*T2^6 - 1385*T1^4*T2^6 + 
      107*T1^5*T2^6 - 61*T1^6*T2^6 + 443*T1^7*T2^6 - 61*T1^8*T2^6 + 
      107*T1^9*T2^6 - 1385*T1^10*T2^6 - 428*T1^11*T2^6 - 1426*T1^12*T2^6 + 
      372*T1^13*T2^6 + 206*T1^14*T2^6 - 111*T2^7 - 429*T1*T2^7 + 
      824*T1^2*T2^7 + 786*T1^3*T2^7 + 1667*T1^4*T2^7 + 107*T1^5*T2^7 + 
      443*T1^6*T2^7 - 442*T1^7*T2^7 - 442*T1^8*T2^7 + 443*T1^9*T2^7 + 
      107*T1^10*T2^7 + 1667*T1^11*T2^7 + 786*T1^12*T2^7 + 824*T1^13*T2^7 - 
      429*T1^14*T2^7 - 111*T1^15*T2^7 + 25*T2^8 + 384*T1*T2^8 - 
      277*T1^2*T2^8 - 692*T1^3*T2^8 - 1609*T1^4*T2^8 - 888*T1^5*T2^8 - 
      61*T1^6*T2^8 - 442*T1^7*T2^8 + 1104*T1^8*T2^8 - 442*T1^9*T2^8 - 
      61*T1^10*T2^8 - 888*T1^11*T2^8 - 1609*T1^12*T2^8 - 692*T1^13*T2^8 - 
      277*T1^14*T2^8 + 384*T1^15*T2^8 + 25*T1^16*T2^8 - 111*T1*T2^9 - 
      429*T1^2*T2^9 + 824*T1^3*T2^9 + 786*T1^4*T2^9 + 1667*T1^5*T2^9 + 
      107*T1^6*T2^9 + 443*T1^7*T2^9 - 442*T1^8*T2^9 - 442*T1^9*T2^9 + 
      443*T1^10*T2^9 + 107*T1^11*T2^9 + 1667*T1^12*T2^9 + 786*T1^13*T2^9 + 
      824*T1^14*T2^9 - 429*T1^15*T2^9 - 111*T1^16*T2^9 + 206*T1^2*T2^10 + 
      372*T1^3*T2^10 - 1426*T1^4*T2^10 - 428*T1^5*T2^10 - 1385*T1^6*T2^10 + 
      107*T1^7*T2^10 - 61*T1^8*T2^10 + 443*T1^9*T2^10 - 61*T1^10*T2^10 + 
      107*T1^11*T2^10 - 1385*T1^12*T2^10 - 428*T1^13*T2^10 - 
      1426*T1^14*T2^10 + 372*T1^15*T2^10 + 206*T1^16*T2^10 - 288*T1^3*T2^11 - 
      159*T1^4*T2^11 + 1753*T1^5*T2^11 - 428*T1^6*T2^11 + 1667*T1^7*T2^11 - 
      888*T1^8*T2^11 + 107*T1^9*T2^11 + 107*T1^10*T2^11 - 888*T1^11*T2^11 + 
      1667*T1^12*T2^11 - 428*T1^13*T2^11 + 1753*T1^14*T2^11 - 
      159*T1^15*T2^11 - 288*T1^16*T2^11 + 323*T1^4*T2^12 - 159*T1^5*T2^12 - 
      1426*T1^6*T2^12 + 786*T1^7*T2^12 - 1609*T1^8*T2^12 + 1667*T1^9*T2^12 - 
      1385*T1^10*T2^12 + 1667*T1^11*T2^12 - 1609*T1^12*T2^12 + 
      786*T1^13*T2^12 - 1426*T1^14*T2^12 - 159*T1^15*T2^12 + 
      323*T1^16*T2^12 - 288*T1^5*T2^13 + 372*T1^6*T2^13 + 824*T1^7*T2^13 - 
      692*T1^8*T2^13 + 786*T1^9*T2^13 - 428*T1^10*T2^13 - 428*T1^11*T2^13 + 
      786*T1^12*T2^13 - 692*T1^13*T2^13 + 824*T1^14*T2^13 + 372*T1^15*T2^13 - 
      288*T1^16*T2^13 + 206*T1^6*T2^14 - 429*T1^7*T2^14 - 277*T1^8*T2^14 + 
      824*T1^9*T2^14 - 1426*T1^10*T2^14 + 1753*T1^11*T2^14 - 
      1426*T1^12*T2^14 + 824*T1^13*T2^14 - 277*T1^14*T2^14 - 
      429*T1^15*T2^14 + 206*T1^16*T2^14 - 111*T1^7*T2^15 + 384*T1^8*T2^15 - 
      429*T1^9*T2^15 + 372*T1^10*T2^15 - 159*T1^11*T2^15 - 159*T1^12*T2^15 + 
      372*T1^13*T2^15 - 429*T1^14*T2^15 + 384*T1^15*T2^15 - 111*T1^16*T2^15 + 
      25*T1^8*T2^16 - 111*T1^9*T2^16 + 206*T1^10*T2^16 - 288*T1^11*T2^16 + 
      323*T1^12*T2^16 - 288*T1^13*T2^16 + 206*T1^14*T2^16 - 111*T1^15*T2^16 + 
      25*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 253] -> 
  {-((4 - 19*T + 36*T^2 - 43*T^3 + 36*T^4 - 19*T^5 + 4*T^6)/T^3), 
   -((144 - 672*T1 + 1248*T1^2 - 1480*T1^3 + 1248*T1^4 - 672*T1^5 + 
      144*T1^6 - 672*T2 + 2476*T1*T2 - 2724*T1^2*T2 + 1104*T1^3*T2 + 
      1104*T1^4*T2 - 2724*T1^5*T2 + 2476*T1^6*T2 - 672*T1^7*T2 + 1248*T2^2 - 
      2724*T1*T2^2 - 2539*T1^2*T2^2 + 8836*T1^3*T2^2 - 11139*T1^4*T2^2 + 
      8836*T1^5*T2^2 - 2539*T1^6*T2^2 - 2724*T1^7*T2^2 + 1248*T1^8*T2^2 - 
      1480*T2^3 + 1104*T1*T2^3 + 8836*T1^2*T2^3 - 10886*T1^3*T2^3 + 
      4292*T1^4*T2^3 + 4292*T1^5*T2^3 - 10886*T1^6*T2^3 + 8836*T1^7*T2^3 + 
      1104*T1^8*T2^3 - 1480*T1^9*T2^3 + 1248*T2^4 + 1104*T1*T2^4 - 
      11139*T1^2*T2^4 + 4292*T1^3*T2^4 + 5351*T1^4*T2^4 - 8341*T1^5*T2^4 + 
      5351*T1^6*T2^4 + 4292*T1^7*T2^4 - 11139*T1^8*T2^4 + 1104*T1^9*T2^4 + 
      1248*T1^10*T2^4 - 672*T2^5 - 2724*T1*T2^5 + 8836*T1^2*T2^5 + 
      4292*T1^3*T2^5 - 8341*T1^4*T2^5 + 3160*T1^5*T2^5 + 3160*T1^6*T2^5 - 
      8341*T1^7*T2^5 + 4292*T1^8*T2^5 + 8836*T1^9*T2^5 - 2724*T1^10*T2^5 - 
      672*T1^11*T2^5 + 144*T2^6 + 2476*T1*T2^6 - 2539*T1^2*T2^6 - 
      10886*T1^3*T2^6 + 5351*T1^4*T2^6 + 3160*T1^5*T2^6 - 5484*T1^6*T2^6 + 
      3160*T1^7*T2^6 + 5351*T1^8*T2^6 - 10886*T1^9*T2^6 - 2539*T1^10*T2^6 + 
      2476*T1^11*T2^6 + 144*T1^12*T2^6 - 672*T1*T2^7 - 2724*T1^2*T2^7 + 
      8836*T1^3*T2^7 + 4292*T1^4*T2^7 - 8341*T1^5*T2^7 + 3160*T1^6*T2^7 + 
      3160*T1^7*T2^7 - 8341*T1^8*T2^7 + 4292*T1^9*T2^7 + 8836*T1^10*T2^7 - 
      2724*T1^11*T2^7 - 672*T1^12*T2^7 + 1248*T1^2*T2^8 + 1104*T1^3*T2^8 - 
      11139*T1^4*T2^8 + 4292*T1^5*T2^8 + 5351*T1^6*T2^8 - 8341*T1^7*T2^8 + 
      5351*T1^8*T2^8 + 4292*T1^9*T2^8 - 11139*T1^10*T2^8 + 1104*T1^11*T2^8 + 
      1248*T1^12*T2^8 - 1480*T1^3*T2^9 + 1104*T1^4*T2^9 + 8836*T1^5*T2^9 - 
      10886*T1^6*T2^9 + 4292*T1^7*T2^9 + 4292*T1^8*T2^9 - 10886*T1^9*T2^9 + 
      8836*T1^10*T2^9 + 1104*T1^11*T2^9 - 1480*T1^12*T2^9 + 1248*T1^4*T2^10 - 
      2724*T1^5*T2^10 - 2539*T1^6*T2^10 + 8836*T1^7*T2^10 - 
      11139*T1^8*T2^10 + 8836*T1^9*T2^10 - 2539*T1^10*T2^10 - 
      2724*T1^11*T2^10 + 1248*T1^12*T2^10 - 672*T1^5*T2^11 + 
      2476*T1^6*T2^11 - 2724*T1^7*T2^11 + 1104*T1^8*T2^11 + 1104*T1^9*T2^11 - 
      2724*T1^10*T2^11 + 2476*T1^11*T2^11 - 672*T1^12*T2^11 + 
      144*T1^6*T2^12 - 672*T1^7*T2^12 + 1248*T1^8*T2^12 - 1480*T1^9*T2^12 + 
      1248*T1^10*T2^12 - 672*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 254] -> 
  {-((3 - 13*T + 21*T^2 - 23*T^3 + 21*T^4 - 13*T^5 + 3*T^6)/T^3), 
   -((63 - 269*T1 + 429*T1^2 - 469*T1^3 + 429*T1^4 - 269*T1^5 + 63*T1^6 - 
      269*T2 + 882*T1*T2 - 688*T1^2*T2 + 172*T1^3*T2 + 172*T1^4*T2 - 
      688*T1^5*T2 + 882*T1^6*T2 - 269*T1^7*T2 + 429*T2^2 - 688*T1*T2^2 - 
      1569*T1^2*T2^2 + 2919*T1^3*T2^2 - 2885*T1^4*T2^2 + 2919*T1^5*T2^2 - 
      1569*T1^6*T2^2 - 688*T1^7*T2^2 + 429*T1^8*T2^2 - 469*T2^3 + 
      172*T1*T2^3 + 2919*T1^2*T2^3 - 2066*T1^3*T2^3 + 214*T1^4*T2^3 + 
      214*T1^5*T2^3 - 2066*T1^6*T2^3 + 2919*T1^7*T2^3 + 172*T1^8*T2^3 - 
      469*T1^9*T2^3 + 429*T2^4 + 172*T1*T2^4 - 2885*T1^2*T2^4 + 
      214*T1^3*T2^4 + 816*T1^4*T2^4 + 66*T1^5*T2^4 + 816*T1^6*T2^4 + 
      214*T1^7*T2^4 - 2885*T1^8*T2^4 + 172*T1^9*T2^4 + 429*T1^10*T2^4 - 
      269*T2^5 - 688*T1*T2^5 + 2919*T1^2*T2^5 + 214*T1^3*T2^5 + 
      66*T1^4*T2^5 - 684*T1^5*T2^5 - 684*T1^6*T2^5 + 66*T1^7*T2^5 + 
      214*T1^8*T2^5 + 2919*T1^9*T2^5 - 688*T1^10*T2^5 - 269*T1^11*T2^5 + 
      63*T2^6 + 882*T1*T2^6 - 1569*T1^2*T2^6 - 2066*T1^3*T2^6 + 
      816*T1^4*T2^6 - 684*T1^5*T2^6 + 1752*T1^6*T2^6 - 684*T1^7*T2^6 + 
      816*T1^8*T2^6 - 2066*T1^9*T2^6 - 1569*T1^10*T2^6 + 882*T1^11*T2^6 + 
      63*T1^12*T2^6 - 269*T1*T2^7 - 688*T1^2*T2^7 + 2919*T1^3*T2^7 + 
      214*T1^4*T2^7 + 66*T1^5*T2^7 - 684*T1^6*T2^7 - 684*T1^7*T2^7 + 
      66*T1^8*T2^7 + 214*T1^9*T2^7 + 2919*T1^10*T2^7 - 688*T1^11*T2^7 - 
      269*T1^12*T2^7 + 429*T1^2*T2^8 + 172*T1^3*T2^8 - 2885*T1^4*T2^8 + 
      214*T1^5*T2^8 + 816*T1^6*T2^8 + 66*T1^7*T2^8 + 816*T1^8*T2^8 + 
      214*T1^9*T2^8 - 2885*T1^10*T2^8 + 172*T1^11*T2^8 + 429*T1^12*T2^8 - 
      469*T1^3*T2^9 + 172*T1^4*T2^9 + 2919*T1^5*T2^9 - 2066*T1^6*T2^9 + 
      214*T1^7*T2^9 + 214*T1^8*T2^9 - 2066*T1^9*T2^9 + 2919*T1^10*T2^9 + 
      172*T1^11*T2^9 - 469*T1^12*T2^9 + 429*T1^4*T2^10 - 688*T1^5*T2^10 - 
      1569*T1^6*T2^10 + 2919*T1^7*T2^10 - 2885*T1^8*T2^10 + 2919*T1^9*T2^10 - 
      1569*T1^10*T2^10 - 688*T1^11*T2^10 + 429*T1^12*T2^10 - 269*T1^5*T2^11 + 
      882*T1^6*T2^11 - 688*T1^7*T2^11 + 172*T1^8*T2^11 + 172*T1^9*T2^11 - 
      688*T1^10*T2^11 + 882*T1^11*T2^11 - 269*T1^12*T2^11 + 63*T1^6*T2^12 - 
      269*T1^7*T2^12 + 429*T1^8*T2^12 - 469*T1^9*T2^12 + 429*T1^10*T2^12 - 
      269*T1^11*T2^12 + 63*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 255] -> {-((6 - 27*T + 41*T^2 - 27*T^3 + 6*T^4)/T^2), 
   -((315 - 1389*T1 + 2083*T1^2 - 1389*T1^3 + 315*T1^4 - 1389*T2 + 
      4746*T1*T2 - 3074*T1^2*T2 - 3074*T1^3*T2 + 4746*T1^4*T2 - 
      1389*T1^5*T2 + 2083*T2^2 - 3074*T1*T2^2 - 11080*T1^2*T2^2 + 
      22090*T1^3*T2^2 - 11080*T1^4*T2^2 - 3074*T1^5*T2^2 + 2083*T1^6*T2^2 - 
      1389*T2^3 - 3074*T1*T2^3 + 22090*T1^2*T2^3 - 15556*T1^3*T2^3 - 
      15556*T1^4*T2^3 + 22090*T1^5*T2^3 - 3074*T1^6*T2^3 - 1389*T1^7*T2^3 + 
      315*T2^4 + 4746*T1*T2^4 - 11080*T1^2*T2^4 - 15556*T1^3*T2^4 + 
      37968*T1^4*T2^4 - 15556*T1^5*T2^4 - 11080*T1^6*T2^4 + 4746*T1^7*T2^4 + 
      315*T1^8*T2^4 - 1389*T1*T2^5 - 3074*T1^2*T2^5 + 22090*T1^3*T2^5 - 
      15556*T1^4*T2^5 - 15556*T1^5*T2^5 + 22090*T1^6*T2^5 - 3074*T1^7*T2^5 - 
      1389*T1^8*T2^5 + 2083*T1^2*T2^6 - 3074*T1^3*T2^6 - 11080*T1^4*T2^6 + 
      22090*T1^5*T2^6 - 11080*T1^6*T2^6 - 3074*T1^7*T2^6 + 2083*T1^8*T2^6 - 
      1389*T1^3*T2^7 + 4746*T1^4*T2^7 - 3074*T1^5*T2^7 - 3074*T1^6*T2^7 + 
      4746*T1^7*T2^7 - 1389*T1^8*T2^7 + 315*T1^4*T2^8 - 1389*T1^5*T2^8 + 
      2083*T1^6*T2^8 - 1389*T1^7*T2^8 + 315*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, Alternating, 256] -> 
  {(3 - 20*T + 52*T^2 - 69*T^3 + 52*T^4 - 20*T^5 + 3*T^6)/T^3, 
   (30 - 199*T1 + 511*T1^2 - 672*T1^3 + 511*T1^4 - 199*T1^5 + 30*T1^6 - 
     199*T2 + 1122*T1*T2 - 2076*T1^2*T2 + 1075*T1^3*T2 + 1075*T1^4*T2 - 
     2076*T1^5*T2 + 1122*T1^6*T2 - 199*T1^7*T2 + 511*T2^2 - 2076*T1*T2^2 + 
     544*T1^2*T2^2 + 7425*T1^3*T2^2 - 11936*T1^4*T2^2 + 7425*T1^5*T2^2 + 
     544*T1^6*T2^2 - 2076*T1^7*T2^2 + 511*T1^8*T2^2 - 672*T2^3 + 
     1075*T1*T2^3 + 7425*T1^2*T2^3 - 20386*T1^3*T2^3 + 11153*T1^4*T2^3 + 
     11153*T1^5*T2^3 - 20386*T1^6*T2^3 + 7425*T1^7*T2^3 + 1075*T1^8*T2^3 - 
     672*T1^9*T2^3 + 511*T2^4 + 1075*T1*T2^4 - 11936*T1^2*T2^4 + 
     11153*T1^3*T2^4 + 26692*T1^4*T2^4 - 49038*T1^5*T2^4 + 26692*T1^6*T2^4 + 
     11153*T1^7*T2^4 - 11936*T1^8*T2^4 + 1075*T1^9*T2^4 + 511*T1^10*T2^4 - 
     199*T2^5 - 2076*T1*T2^5 + 7425*T1^2*T2^5 + 11153*T1^3*T2^5 - 
     49038*T1^4*T2^5 + 28232*T1^5*T2^5 + 28232*T1^6*T2^5 - 49038*T1^7*T2^5 + 
     11153*T1^8*T2^5 + 7425*T1^9*T2^5 - 2076*T1^10*T2^5 - 199*T1^11*T2^5 + 
     30*T2^6 + 1122*T1*T2^6 + 544*T1^2*T2^6 - 20386*T1^3*T2^6 + 
     26692*T1^4*T2^6 + 28232*T1^5*T2^6 - 62196*T1^6*T2^6 + 28232*T1^7*T2^6 + 
     26692*T1^8*T2^6 - 20386*T1^9*T2^6 + 544*T1^10*T2^6 + 1122*T1^11*T2^6 + 
     30*T1^12*T2^6 - 199*T1*T2^7 - 2076*T1^2*T2^7 + 7425*T1^3*T2^7 + 
     11153*T1^4*T2^7 - 49038*T1^5*T2^7 + 28232*T1^6*T2^7 + 28232*T1^7*T2^7 - 
     49038*T1^8*T2^7 + 11153*T1^9*T2^7 + 7425*T1^10*T2^7 - 2076*T1^11*T2^7 - 
     199*T1^12*T2^7 + 511*T1^2*T2^8 + 1075*T1^3*T2^8 - 11936*T1^4*T2^8 + 
     11153*T1^5*T2^8 + 26692*T1^6*T2^8 - 49038*T1^7*T2^8 + 26692*T1^8*T2^8 + 
     11153*T1^9*T2^8 - 11936*T1^10*T2^8 + 1075*T1^11*T2^8 + 511*T1^12*T2^8 - 
     672*T1^3*T2^9 + 1075*T1^4*T2^9 + 7425*T1^5*T2^9 - 20386*T1^6*T2^9 + 
     11153*T1^7*T2^9 + 11153*T1^8*T2^9 - 20386*T1^9*T2^9 + 7425*T1^10*T2^9 + 
     1075*T1^11*T2^9 - 672*T1^12*T2^9 + 511*T1^4*T2^10 - 2076*T1^5*T2^10 + 
     544*T1^6*T2^10 + 7425*T1^7*T2^10 - 11936*T1^8*T2^10 + 7425*T1^9*T2^10 + 
     544*T1^10*T2^10 - 2076*T1^11*T2^10 + 511*T1^12*T2^10 - 199*T1^5*T2^11 + 
     1122*T1^6*T2^11 - 2076*T1^7*T2^11 + 1075*T1^8*T2^11 + 1075*T1^9*T2^11 - 
     2076*T1^10*T2^11 + 1122*T1^11*T2^11 - 199*T1^12*T2^11 + 30*T1^6*T2^12 - 
     199*T1^7*T2^12 + 511*T1^8*T2^12 - 672*T1^9*T2^12 + 511*T1^10*T2^12 - 
     199*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 257] -> 
  {(2 - 16*T + 46*T^2 - 63*T^3 + 46*T^4 - 16*T^5 + 2*T^6)/T^3, 
   (9 - 71*T1 + 201*T1^2 - 273*T1^3 + 201*T1^4 - 71*T1^5 + 9*T1^6 - 71*T2 + 
     490*T1*T2 - 1030*T1^2*T2 + 572*T1^3*T2 + 572*T1^4*T2 - 1030*T1^5*T2 + 
     490*T1^6*T2 - 71*T1^7*T2 + 201*T2^2 - 1030*T1*T2^2 + 336*T1^2*T2^2 + 
     4628*T1^3*T2^2 - 7758*T1^4*T2^2 + 4628*T1^5*T2^2 + 336*T1^6*T2^2 - 
     1030*T1^7*T2^2 + 201*T1^8*T2^2 - 273*T2^3 + 572*T1*T2^3 + 
     4628*T1^2*T2^3 - 14342*T1^3*T2^3 + 8470*T1^4*T2^3 + 8470*T1^5*T2^3 - 
     14342*T1^6*T2^3 + 4628*T1^7*T2^3 + 572*T1^8*T2^3 - 273*T1^9*T2^3 + 
     201*T2^4 + 572*T1*T2^4 - 7758*T1^2*T2^4 + 8470*T1^3*T2^4 + 
     21225*T1^4*T2^4 - 40973*T1^5*T2^4 + 21225*T1^6*T2^4 + 8470*T1^7*T2^4 - 
     7758*T1^8*T2^4 + 572*T1^9*T2^4 + 201*T1^10*T2^4 - 71*T2^5 - 
     1030*T1*T2^5 + 4628*T1^2*T2^5 + 8470*T1^3*T2^5 - 40973*T1^4*T2^5 + 
     25376*T1^5*T2^5 + 25376*T1^6*T2^5 - 40973*T1^7*T2^5 + 8470*T1^8*T2^5 + 
     4628*T1^9*T2^5 - 1030*T1^10*T2^5 - 71*T1^11*T2^5 + 9*T2^6 + 
     490*T1*T2^6 + 336*T1^2*T2^6 - 14342*T1^3*T2^6 + 21225*T1^4*T2^6 + 
     25376*T1^5*T2^6 - 57780*T1^6*T2^6 + 25376*T1^7*T2^6 + 21225*T1^8*T2^6 - 
     14342*T1^9*T2^6 + 336*T1^10*T2^6 + 490*T1^11*T2^6 + 9*T1^12*T2^6 - 
     71*T1*T2^7 - 1030*T1^2*T2^7 + 4628*T1^3*T2^7 + 8470*T1^4*T2^7 - 
     40973*T1^5*T2^7 + 25376*T1^6*T2^7 + 25376*T1^7*T2^7 - 40973*T1^8*T2^7 + 
     8470*T1^9*T2^7 + 4628*T1^10*T2^7 - 1030*T1^11*T2^7 - 71*T1^12*T2^7 + 
     201*T1^2*T2^8 + 572*T1^3*T2^8 - 7758*T1^4*T2^8 + 8470*T1^5*T2^8 + 
     21225*T1^6*T2^8 - 40973*T1^7*T2^8 + 21225*T1^8*T2^8 + 8470*T1^9*T2^8 - 
     7758*T1^10*T2^8 + 572*T1^11*T2^8 + 201*T1^12*T2^8 - 273*T1^3*T2^9 + 
     572*T1^4*T2^9 + 4628*T1^5*T2^9 - 14342*T1^6*T2^9 + 8470*T1^7*T2^9 + 
     8470*T1^8*T2^9 - 14342*T1^9*T2^9 + 4628*T1^10*T2^9 + 572*T1^11*T2^9 - 
     273*T1^12*T2^9 + 201*T1^4*T2^10 - 1030*T1^5*T2^10 + 336*T1^6*T2^10 + 
     4628*T1^7*T2^10 - 7758*T1^8*T2^10 + 4628*T1^9*T2^10 + 336*T1^10*T2^10 - 
     1030*T1^11*T2^10 + 201*T1^12*T2^10 - 71*T1^5*T2^11 + 490*T1^6*T2^11 - 
     1030*T1^7*T2^11 + 572*T1^8*T2^11 + 572*T1^9*T2^11 - 1030*T1^10*T2^11 + 
     490*T1^11*T2^11 - 71*T1^12*T2^11 + 9*T1^6*T2^12 - 71*T1^7*T2^12 + 
     201*T1^8*T2^12 - 273*T1^9*T2^12 + 201*T1^10*T2^12 - 71*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   (1 - 5*T1 + 12*T1^2 - 17*T1^3 + 12*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 36*T1^2*T2 + 26*T1^3*T2 + 26*T1^4*T2 - 36*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 12*T2^2 - 36*T1*T2^2 + 30*T1^2*T2^2 + 
     60*T1^3*T2^2 - 174*T1^4*T2^2 + 60*T1^5*T2^2 + 30*T1^6*T2^2 - 
     36*T1^7*T2^2 + 12*T1^8*T2^2 - 17*T2^3 + 26*T1*T2^3 + 60*T1^2*T2^3 - 
     228*T1^3*T2^3 + 210*T1^4*T2^3 + 210*T1^5*T2^3 - 228*T1^6*T2^3 + 
     60*T1^7*T2^3 + 26*T1^8*T2^3 - 17*T1^9*T2^3 + 12*T2^4 + 26*T1*T2^4 - 
     174*T1^2*T2^4 + 210*T1^3*T2^4 + 172*T1^4*T2^4 - 664*T1^5*T2^4 + 
     172*T1^6*T2^4 + 210*T1^7*T2^4 - 174*T1^8*T2^4 + 26*T1^9*T2^4 + 
     12*T1^10*T2^4 - 5*T2^5 - 36*T1*T2^5 + 60*T1^2*T2^5 + 210*T1^3*T2^5 - 
     664*T1^4*T2^5 + 548*T1^5*T2^5 + 548*T1^6*T2^5 - 664*T1^7*T2^5 + 
     210*T1^8*T2^5 + 60*T1^9*T2^5 - 36*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 + 30*T1^2*T2^6 - 228*T1^3*T2^6 + 172*T1^4*T2^6 + 
     548*T1^5*T2^6 - 1332*T1^6*T2^6 + 548*T1^7*T2^6 + 172*T1^8*T2^6 - 
     228*T1^9*T2^6 + 30*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     36*T1^2*T2^7 + 60*T1^3*T2^7 + 210*T1^4*T2^7 - 664*T1^5*T2^7 + 
     548*T1^6*T2^7 + 548*T1^7*T2^7 - 664*T1^8*T2^7 + 210*T1^9*T2^7 + 
     60*T1^10*T2^7 - 36*T1^11*T2^7 - 5*T1^12*T2^7 + 12*T1^2*T2^8 + 
     26*T1^3*T2^8 - 174*T1^4*T2^8 + 210*T1^5*T2^8 + 172*T1^6*T2^8 - 
     664*T1^7*T2^8 + 172*T1^8*T2^8 + 210*T1^9*T2^8 - 174*T1^10*T2^8 + 
     26*T1^11*T2^8 + 12*T1^12*T2^8 - 17*T1^3*T2^9 + 26*T1^4*T2^9 + 
     60*T1^5*T2^9 - 228*T1^6*T2^9 + 210*T1^7*T2^9 + 210*T1^8*T2^9 - 
     228*T1^9*T2^9 + 60*T1^10*T2^9 + 26*T1^11*T2^9 - 17*T1^12*T2^9 + 
     12*T1^4*T2^10 - 36*T1^5*T2^10 + 30*T1^6*T2^10 + 60*T1^7*T2^10 - 
     174*T1^8*T2^10 + 60*T1^9*T2^10 + 30*T1^10*T2^10 - 36*T1^11*T2^10 + 
     12*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 36*T1^7*T2^11 + 
     26*T1^8*T2^11 + 26*T1^9*T2^11 - 36*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 12*T1^8*T2^12 - 
     17*T1^9*T2^12 + 12*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 259] -> 
  {((1 - 3*T + T^2)*(2 - 6*T + 7*T^2 - 6*T^3 + 2*T^4))/T^3, 
   (7 - 41*T1 + 91*T1^2 - 111*T1^3 + 91*T1^4 - 41*T1^5 + 7*T1^6 - 41*T2 + 
     198*T1*T2 - 290*T1^2*T2 + 116*T1^3*T2 + 116*T1^4*T2 - 290*T1^5*T2 + 
     198*T1^6*T2 - 41*T1^7*T2 + 91*T2^2 - 290*T1*T2^2 - 120*T1^2*T2^2 + 
     1098*T1^3*T2^2 - 1398*T1^4*T2^2 + 1098*T1^5*T2^2 - 120*T1^6*T2^2 - 
     290*T1^7*T2^2 + 91*T1^8*T2^2 - 111*T2^3 + 116*T1*T2^3 + 1098*T1^2*T2^3 - 
     2136*T1^3*T2^3 + 828*T1^4*T2^3 + 828*T1^5*T2^3 - 2136*T1^6*T2^3 + 
     1098*T1^7*T2^3 + 116*T1^8*T2^3 - 111*T1^9*T2^3 + 91*T2^4 + 116*T1*T2^4 - 
     1398*T1^2*T2^4 + 828*T1^3*T2^4 + 2736*T1^4*T2^4 - 4102*T1^5*T2^4 + 
     2736*T1^6*T2^4 + 828*T1^7*T2^4 - 1398*T1^8*T2^4 + 116*T1^9*T2^4 + 
     91*T1^10*T2^4 - 41*T2^5 - 290*T1*T2^5 + 1098*T1^2*T2^5 + 828*T1^3*T2^5 - 
     4102*T1^4*T2^5 + 2154*T1^5*T2^5 + 2154*T1^6*T2^5 - 4102*T1^7*T2^5 + 
     828*T1^8*T2^5 + 1098*T1^9*T2^5 - 290*T1^10*T2^5 - 41*T1^11*T2^5 + 
     7*T2^6 + 198*T1*T2^6 - 120*T1^2*T2^6 - 2136*T1^3*T2^6 + 2736*T1^4*T2^6 + 
     2154*T1^5*T2^6 - 4992*T1^6*T2^6 + 2154*T1^7*T2^6 + 2736*T1^8*T2^6 - 
     2136*T1^9*T2^6 - 120*T1^10*T2^6 + 198*T1^11*T2^6 + 7*T1^12*T2^6 - 
     41*T1*T2^7 - 290*T1^2*T2^7 + 1098*T1^3*T2^7 + 828*T1^4*T2^7 - 
     4102*T1^5*T2^7 + 2154*T1^6*T2^7 + 2154*T1^7*T2^7 - 4102*T1^8*T2^7 + 
     828*T1^9*T2^7 + 1098*T1^10*T2^7 - 290*T1^11*T2^7 - 41*T1^12*T2^7 + 
     91*T1^2*T2^8 + 116*T1^3*T2^8 - 1398*T1^4*T2^8 + 828*T1^5*T2^8 + 
     2736*T1^6*T2^8 - 4102*T1^7*T2^8 + 2736*T1^8*T2^8 + 828*T1^9*T2^8 - 
     1398*T1^10*T2^8 + 116*T1^11*T2^8 + 91*T1^12*T2^8 - 111*T1^3*T2^9 + 
     116*T1^4*T2^9 + 1098*T1^5*T2^9 - 2136*T1^6*T2^9 + 828*T1^7*T2^9 + 
     828*T1^8*T2^9 - 2136*T1^9*T2^9 + 1098*T1^10*T2^9 + 116*T1^11*T2^9 - 
     111*T1^12*T2^9 + 91*T1^4*T2^10 - 290*T1^5*T2^10 - 120*T1^6*T2^10 + 
     1098*T1^7*T2^10 - 1398*T1^8*T2^10 + 1098*T1^9*T2^10 - 120*T1^10*T2^10 - 
     290*T1^11*T2^10 + 91*T1^12*T2^10 - 41*T1^5*T2^11 + 198*T1^6*T2^11 - 
     290*T1^7*T2^11 + 116*T1^8*T2^11 + 116*T1^9*T2^11 - 290*T1^10*T2^11 + 
     198*T1^11*T2^11 - 41*T1^12*T2^11 + 7*T1^6*T2^12 - 41*T1^7*T2^12 + 
     91*T1^8*T2^12 - 111*T1^9*T2^12 + 91*T1^10*T2^12 - 41*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, 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), -((1 - 7*T1 + 22*T1^2 - 39*T1^3 + 45*T1^4 - 39*T1^5 + 22*T1^6 - 
      7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 105*T1^2*T2 + 119*T1^3*T2 - 
      42*T1^4*T2 - 42*T1^5*T2 + 119*T1^6*T2 - 105*T1^7*T2 + 42*T1^8*T2 - 
      7*T1^9*T2 + 22*T2^2 - 105*T1*T2^2 + 162*T1^2*T2^2 + 68*T1^3*T2^2 - 
      444*T1^4*T2^2 + 508*T1^5*T2^2 - 444*T1^6*T2^2 + 68*T1^7*T2^2 + 
      162*T1^8*T2^2 - 105*T1^9*T2^2 + 22*T1^10*T2^2 - 39*T2^3 + 119*T1*T2^3 + 
      68*T1^2*T2^3 - 818*T1^3*T2^3 + 1144*T1^4*T2^3 - 319*T1^5*T2^3 - 
      319*T1^6*T2^3 + 1144*T1^7*T2^3 - 818*T1^8*T2^3 + 68*T1^9*T2^3 + 
      119*T1^10*T2^3 - 39*T1^11*T2^3 + 45*T2^4 - 42*T1*T2^4 - 444*T1^2*T2^4 + 
      1144*T1^3*T2^4 - 41*T1^4*T2^4 - 2296*T1^5*T2^4 + 2535*T1^6*T2^4 - 
      2296*T1^7*T2^4 - 41*T1^8*T2^4 + 1144*T1^9*T2^4 - 444*T1^10*T2^4 - 
      42*T1^11*T2^4 + 45*T1^12*T2^4 - 39*T2^5 - 42*T1*T2^5 + 508*T1^2*T2^5 - 
      319*T1^3*T2^5 - 2296*T1^4*T2^5 + 4068*T1^5*T2^5 - 1280*T1^6*T2^5 - 
      1280*T1^7*T2^5 + 4068*T1^8*T2^5 - 2296*T1^9*T2^5 - 319*T1^10*T2^5 + 
      508*T1^11*T2^5 - 42*T1^12*T2^5 - 39*T1^13*T2^5 + 22*T2^6 + 
      119*T1*T2^6 - 444*T1^2*T2^6 - 319*T1^3*T2^6 + 2535*T1^4*T2^6 - 
      1280*T1^5*T2^6 - 4733*T1^6*T2^6 + 6793*T1^7*T2^6 - 4733*T1^8*T2^6 - 
      1280*T1^9*T2^6 + 2535*T1^10*T2^6 - 319*T1^11*T2^6 - 444*T1^12*T2^6 + 
      119*T1^13*T2^6 + 22*T1^14*T2^6 - 7*T2^7 - 105*T1*T2^7 + 68*T1^2*T2^7 + 
      1144*T1^3*T2^7 - 2296*T1^4*T2^7 - 1280*T1^5*T2^7 + 6793*T1^6*T2^7 - 
      3676*T1^7*T2^7 - 3676*T1^8*T2^7 + 6793*T1^9*T2^7 - 1280*T1^10*T2^7 - 
      2296*T1^11*T2^7 + 1144*T1^12*T2^7 + 68*T1^13*T2^7 - 105*T1^14*T2^7 - 
      7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 162*T1^2*T2^8 - 818*T1^3*T2^8 - 
      41*T1^4*T2^8 + 4068*T1^5*T2^8 - 4733*T1^6*T2^8 - 3676*T1^7*T2^8 + 
      8832*T1^8*T2^8 - 3676*T1^9*T2^8 - 4733*T1^10*T2^8 + 4068*T1^11*T2^8 - 
      41*T1^12*T2^8 - 818*T1^13*T2^8 + 162*T1^14*T2^8 + 42*T1^15*T2^8 + 
      T1^16*T2^8 - 7*T1*T2^9 - 105*T1^2*T2^9 + 68*T1^3*T2^9 + 
      1144*T1^4*T2^9 - 2296*T1^5*T2^9 - 1280*T1^6*T2^9 + 6793*T1^7*T2^9 - 
      3676*T1^8*T2^9 - 3676*T1^9*T2^9 + 6793*T1^10*T2^9 - 1280*T1^11*T2^9 - 
      2296*T1^12*T2^9 + 1144*T1^13*T2^9 + 68*T1^14*T2^9 - 105*T1^15*T2^9 - 
      7*T1^16*T2^9 + 22*T1^2*T2^10 + 119*T1^3*T2^10 - 444*T1^4*T2^10 - 
      319*T1^5*T2^10 + 2535*T1^6*T2^10 - 1280*T1^7*T2^10 - 4733*T1^8*T2^10 + 
      6793*T1^9*T2^10 - 4733*T1^10*T2^10 - 1280*T1^11*T2^10 + 
      2535*T1^12*T2^10 - 319*T1^13*T2^10 - 444*T1^14*T2^10 + 
      119*T1^15*T2^10 + 22*T1^16*T2^10 - 39*T1^3*T2^11 - 42*T1^4*T2^11 + 
      508*T1^5*T2^11 - 319*T1^6*T2^11 - 2296*T1^7*T2^11 + 4068*T1^8*T2^11 - 
      1280*T1^9*T2^11 - 1280*T1^10*T2^11 + 4068*T1^11*T2^11 - 
      2296*T1^12*T2^11 - 319*T1^13*T2^11 + 508*T1^14*T2^11 - 42*T1^15*T2^11 - 
      39*T1^16*T2^11 + 45*T1^4*T2^12 - 42*T1^5*T2^12 - 444*T1^6*T2^12 + 
      1144*T1^7*T2^12 - 41*T1^8*T2^12 - 2296*T1^9*T2^12 + 2535*T1^10*T2^12 - 
      2296*T1^11*T2^12 - 41*T1^12*T2^12 + 1144*T1^13*T2^12 - 
      444*T1^14*T2^12 - 42*T1^15*T2^12 + 45*T1^16*T2^12 - 39*T1^5*T2^13 + 
      119*T1^6*T2^13 + 68*T1^7*T2^13 - 818*T1^8*T2^13 + 1144*T1^9*T2^13 - 
      319*T1^10*T2^13 - 319*T1^11*T2^13 + 1144*T1^12*T2^13 - 
      818*T1^13*T2^13 + 68*T1^14*T2^13 + 119*T1^15*T2^13 - 39*T1^16*T2^13 + 
      22*T1^6*T2^14 - 105*T1^7*T2^14 + 162*T1^8*T2^14 + 68*T1^9*T2^14 - 
      444*T1^10*T2^14 + 508*T1^11*T2^14 - 444*T1^12*T2^14 + 68*T1^13*T2^14 + 
      162*T1^14*T2^14 - 105*T1^15*T2^14 + 22*T1^16*T2^14 - 7*T1^7*T2^15 + 
      42*T1^8*T2^15 - 105*T1^9*T2^15 + 119*T1^10*T2^15 - 42*T1^11*T2^15 - 
      42*T1^12*T2^15 + 119*T1^13*T2^15 - 105*T1^14*T2^15 + 42*T1^15*T2^15 - 
      7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 22*T1^10*T2^16 - 
      39*T1^11*T2^16 + 45*T1^12*T2^16 - 39*T1^13*T2^16 + 22*T1^14*T2^16 - 
      7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   -((1 - 6*T1 + 16*T1^2 - 19*T1^3 + 16*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
      32*T1*T2 - 69*T1^2*T2 + 23*T1^3*T2 + 23*T1^4*T2 - 69*T1^5*T2 + 
      32*T1^6*T2 - 6*T1^7*T2 + 16*T2^2 - 69*T1*T2^2 + 70*T1^2*T2^2 + 
      267*T1^3*T2^2 - 326*T1^4*T2^2 + 267*T1^5*T2^2 + 70*T1^6*T2^2 - 
      69*T1^7*T2^2 + 16*T1^8*T2^2 - 19*T2^3 + 23*T1*T2^3 + 267*T1^2*T2^3 - 
      1054*T1^3*T2^3 + 347*T1^4*T2^3 + 347*T1^5*T2^3 - 1054*T1^6*T2^3 + 
      267*T1^7*T2^3 + 23*T1^8*T2^3 - 19*T1^9*T2^3 + 16*T2^4 + 23*T1*T2^4 - 
      326*T1^2*T2^4 + 347*T1^3*T2^4 + 2494*T1^4*T2^4 - 3034*T1^5*T2^4 + 
      2494*T1^6*T2^4 + 347*T1^7*T2^4 - 326*T1^8*T2^4 + 23*T1^9*T2^4 + 
      16*T1^10*T2^4 - 6*T2^5 - 69*T1*T2^5 + 267*T1^2*T2^5 + 347*T1^3*T2^5 - 
      3034*T1^4*T2^5 + 782*T1^5*T2^5 + 782*T1^6*T2^5 - 3034*T1^7*T2^5 + 
      347*T1^8*T2^5 + 267*T1^9*T2^5 - 69*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
      32*T1*T2^6 + 70*T1^2*T2^6 - 1054*T1^3*T2^6 + 2494*T1^4*T2^6 + 
      782*T1^5*T2^6 - 612*T1^6*T2^6 + 782*T1^7*T2^6 + 2494*T1^8*T2^6 - 
      1054*T1^9*T2^6 + 70*T1^10*T2^6 + 32*T1^11*T2^6 + T1^12*T2^6 - 
      6*T1*T2^7 - 69*T1^2*T2^7 + 267*T1^3*T2^7 + 347*T1^4*T2^7 - 
      3034*T1^5*T2^7 + 782*T1^6*T2^7 + 782*T1^7*T2^7 - 3034*T1^8*T2^7 + 
      347*T1^9*T2^7 + 267*T1^10*T2^7 - 69*T1^11*T2^7 - 6*T1^12*T2^7 + 
      16*T1^2*T2^8 + 23*T1^3*T2^8 - 326*T1^4*T2^8 + 347*T1^5*T2^8 + 
      2494*T1^6*T2^8 - 3034*T1^7*T2^8 + 2494*T1^8*T2^8 + 347*T1^9*T2^8 - 
      326*T1^10*T2^8 + 23*T1^11*T2^8 + 16*T1^12*T2^8 - 19*T1^3*T2^9 + 
      23*T1^4*T2^9 + 267*T1^5*T2^9 - 1054*T1^6*T2^9 + 347*T1^7*T2^9 + 
      347*T1^8*T2^9 - 1054*T1^9*T2^9 + 267*T1^10*T2^9 + 23*T1^11*T2^9 - 
      19*T1^12*T2^9 + 16*T1^4*T2^10 - 69*T1^5*T2^10 + 70*T1^6*T2^10 + 
      267*T1^7*T2^10 - 326*T1^8*T2^10 + 267*T1^9*T2^10 + 70*T1^10*T2^10 - 
      69*T1^11*T2^10 + 16*T1^12*T2^10 - 6*T1^5*T2^11 + 32*T1^6*T2^11 - 
      69*T1^7*T2^11 + 23*T1^8*T2^11 + 23*T1^9*T2^11 - 69*T1^10*T2^11 + 
      32*T1^11*T2^11 - 6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 
      16*T1^8*T2^12 - 19*T1^9*T2^12 + 16*T1^10*T2^12 - 6*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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), -((1 - 7*T1 + 22*T1^2 - 41*T1^3 + 49*T1^4 - 41*T1^5 + 22*T1^6 - 
      7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 105*T1^2*T2 + 133*T1^3*T2 - 
      56*T1^4*T2 - 56*T1^5*T2 + 133*T1^6*T2 - 105*T1^7*T2 + 42*T1^8*T2 - 
      7*T1^9*T2 + 22*T2^2 - 105*T1*T2^2 + 162*T1^2*T2^2 + 27*T1^3*T2^2 - 
      457*T1^4*T2^2 + 616*T1^5*T2^2 - 457*T1^6*T2^2 + 27*T1^7*T2^2 + 
      162*T1^8*T2^2 - 105*T1^9*T2^2 + 22*T1^10*T2^2 - 41*T2^3 + 133*T1*T2^3 + 
      27*T1^2*T2^3 - 690*T1^3*T2^3 + 1230*T1^4*T2^3 - 504*T1^5*T2^3 - 
      504*T1^6*T2^3 + 1230*T1^7*T2^3 - 690*T1^8*T2^3 + 27*T1^9*T2^3 + 
      133*T1^10*T2^3 - 41*T1^11*T2^3 + 49*T2^4 - 56*T1*T2^4 - 457*T1^2*T2^4 + 
      1230*T1^3*T2^4 - 667*T1^4*T2^4 - 1823*T1^5*T2^4 + 2711*T1^6*T2^4 - 
      1823*T1^7*T2^4 - 667*T1^8*T2^4 + 1230*T1^9*T2^4 - 457*T1^10*T2^4 - 
      56*T1^11*T2^4 + 49*T1^12*T2^4 - 41*T2^5 - 56*T1*T2^5 + 616*T1^2*T2^5 - 
      504*T1^3*T2^5 - 1823*T1^4*T2^5 + 4384*T1^5*T2^5 - 1961*T1^6*T2^5 - 
      1961*T1^7*T2^5 + 4384*T1^8*T2^5 - 1823*T1^9*T2^5 - 504*T1^10*T2^5 + 
      616*T1^11*T2^5 - 56*T1^12*T2^5 - 41*T1^13*T2^5 + 22*T2^6 + 
      133*T1*T2^6 - 457*T1^2*T2^6 - 504*T1^3*T2^6 + 2711*T1^4*T2^6 - 
      1961*T1^5*T2^6 - 4466*T1^6*T2^6 + 7530*T1^7*T2^6 - 4466*T1^8*T2^6 - 
      1961*T1^9*T2^6 + 2711*T1^10*T2^6 - 504*T1^11*T2^6 - 457*T1^12*T2^6 + 
      133*T1^13*T2^6 + 22*T1^14*T2^6 - 7*T2^7 - 105*T1*T2^7 + 27*T1^2*T2^7 + 
      1230*T1^3*T2^7 - 1823*T1^4*T2^7 - 1961*T1^5*T2^7 + 7530*T1^6*T2^7 - 
      4140*T1^7*T2^7 - 4140*T1^8*T2^7 + 7530*T1^9*T2^7 - 1961*T1^10*T2^7 - 
      1823*T1^11*T2^7 + 1230*T1^12*T2^7 + 27*T1^13*T2^7 - 105*T1^14*T2^7 - 
      7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 162*T1^2*T2^8 - 690*T1^3*T2^8 - 
      667*T1^4*T2^8 + 4384*T1^5*T2^8 - 4466*T1^6*T2^8 - 4140*T1^7*T2^8 + 
      9312*T1^8*T2^8 - 4140*T1^9*T2^8 - 4466*T1^10*T2^8 + 4384*T1^11*T2^8 - 
      667*T1^12*T2^8 - 690*T1^13*T2^8 + 162*T1^14*T2^8 + 42*T1^15*T2^8 + 
      T1^16*T2^8 - 7*T1*T2^9 - 105*T1^2*T2^9 + 27*T1^3*T2^9 + 
      1230*T1^4*T2^9 - 1823*T1^5*T2^9 - 1961*T1^6*T2^9 + 7530*T1^7*T2^9 - 
      4140*T1^8*T2^9 - 4140*T1^9*T2^9 + 7530*T1^10*T2^9 - 1961*T1^11*T2^9 - 
      1823*T1^12*T2^9 + 1230*T1^13*T2^9 + 27*T1^14*T2^9 - 105*T1^15*T2^9 - 
      7*T1^16*T2^9 + 22*T1^2*T2^10 + 133*T1^3*T2^10 - 457*T1^4*T2^10 - 
      504*T1^5*T2^10 + 2711*T1^6*T2^10 - 1961*T1^7*T2^10 - 4466*T1^8*T2^10 + 
      7530*T1^9*T2^10 - 4466*T1^10*T2^10 - 1961*T1^11*T2^10 + 
      2711*T1^12*T2^10 - 504*T1^13*T2^10 - 457*T1^14*T2^10 + 
      133*T1^15*T2^10 + 22*T1^16*T2^10 - 41*T1^3*T2^11 - 56*T1^4*T2^11 + 
      616*T1^5*T2^11 - 504*T1^6*T2^11 - 1823*T1^7*T2^11 + 4384*T1^8*T2^11 - 
      1961*T1^9*T2^11 - 1961*T1^10*T2^11 + 4384*T1^11*T2^11 - 
      1823*T1^12*T2^11 - 504*T1^13*T2^11 + 616*T1^14*T2^11 - 56*T1^15*T2^11 - 
      41*T1^16*T2^11 + 49*T1^4*T2^12 - 56*T1^5*T2^12 - 457*T1^6*T2^12 + 
      1230*T1^7*T2^12 - 667*T1^8*T2^12 - 1823*T1^9*T2^12 + 2711*T1^10*T2^12 - 
      1823*T1^11*T2^12 - 667*T1^12*T2^12 + 1230*T1^13*T2^12 - 
      457*T1^14*T2^12 - 56*T1^15*T2^12 + 49*T1^16*T2^12 - 41*T1^5*T2^13 + 
      133*T1^6*T2^13 + 27*T1^7*T2^13 - 690*T1^8*T2^13 + 1230*T1^9*T2^13 - 
      504*T1^10*T2^13 - 504*T1^11*T2^13 + 1230*T1^12*T2^13 - 
      690*T1^13*T2^13 + 27*T1^14*T2^13 + 133*T1^15*T2^13 - 41*T1^16*T2^13 + 
      22*T1^6*T2^14 - 105*T1^7*T2^14 + 162*T1^8*T2^14 + 27*T1^9*T2^14 - 
      457*T1^10*T2^14 + 616*T1^11*T2^14 - 457*T1^12*T2^14 + 27*T1^13*T2^14 + 
      162*T1^14*T2^14 - 105*T1^15*T2^14 + 22*T1^16*T2^14 - 7*T1^7*T2^15 + 
      42*T1^8*T2^15 - 105*T1^9*T2^15 + 133*T1^10*T2^15 - 56*T1^11*T2^15 - 
      56*T1^12*T2^15 + 133*T1^13*T2^15 - 105*T1^14*T2^15 + 42*T1^15*T2^15 - 
      7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 22*T1^10*T2^16 - 
      41*T1^11*T2^16 + 49*T1^12*T2^16 - 41*T1^13*T2^16 + 22*T1^14*T2^16 - 
      7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 263] -> 
  {(3 - 19*T + 48*T^2 - 63*T^3 + 48*T^4 - 19*T^5 + 3*T^6)/T^3, 
   (30 - 188*T1 + 470*T1^2 - 612*T1^3 + 470*T1^4 - 188*T1^5 + 30*T1^6 - 
     188*T2 + 994*T1*T2 - 1782*T1^2*T2 + 902*T1^3*T2 + 902*T1^4*T2 - 
     1782*T1^5*T2 + 994*T1^6*T2 - 188*T1^7*T2 + 470*T2^2 - 1782*T1*T2^2 + 
     500*T1^2*T2^2 + 5928*T1^3*T2^2 - 9432*T1^4*T2^2 + 5928*T1^5*T2^2 + 
     500*T1^6*T2^2 - 1782*T1^7*T2^2 + 470*T1^8*T2^2 - 612*T2^3 + 
     902*T1*T2^3 + 5928*T1^2*T2^3 - 16084*T1^3*T2^3 + 8593*T1^4*T2^3 + 
     8593*T1^5*T2^3 - 16084*T1^6*T2^3 + 5928*T1^7*T2^3 + 902*T1^8*T2^3 - 
     612*T1^9*T2^3 + 470*T2^4 + 902*T1*T2^4 - 9432*T1^2*T2^4 + 
     8593*T1^3*T2^4 + 21169*T1^4*T2^4 - 37991*T1^5*T2^4 + 21169*T1^6*T2^4 + 
     8593*T1^7*T2^4 - 9432*T1^8*T2^4 + 902*T1^9*T2^4 + 470*T1^10*T2^4 - 
     188*T2^5 - 1782*T1*T2^5 + 5928*T1^2*T2^5 + 8593*T1^3*T2^5 - 
     37991*T1^4*T2^5 + 21306*T1^5*T2^5 + 21306*T1^6*T2^5 - 37991*T1^7*T2^5 + 
     8593*T1^8*T2^5 + 5928*T1^9*T2^5 - 1782*T1^10*T2^5 - 188*T1^11*T2^5 + 
     30*T2^6 + 994*T1*T2^6 + 500*T1^2*T2^6 - 16084*T1^3*T2^6 + 
     21169*T1^4*T2^6 + 21306*T1^5*T2^6 - 46356*T1^6*T2^6 + 21306*T1^7*T2^6 + 
     21169*T1^8*T2^6 - 16084*T1^9*T2^6 + 500*T1^10*T2^6 + 994*T1^11*T2^6 + 
     30*T1^12*T2^6 - 188*T1*T2^7 - 1782*T1^2*T2^7 + 5928*T1^3*T2^7 + 
     8593*T1^4*T2^7 - 37991*T1^5*T2^7 + 21306*T1^6*T2^7 + 21306*T1^7*T2^7 - 
     37991*T1^8*T2^7 + 8593*T1^9*T2^7 + 5928*T1^10*T2^7 - 1782*T1^11*T2^7 - 
     188*T1^12*T2^7 + 470*T1^2*T2^8 + 902*T1^3*T2^8 - 9432*T1^4*T2^8 + 
     8593*T1^5*T2^8 + 21169*T1^6*T2^8 - 37991*T1^7*T2^8 + 21169*T1^8*T2^8 + 
     8593*T1^9*T2^8 - 9432*T1^10*T2^8 + 902*T1^11*T2^8 + 470*T1^12*T2^8 - 
     612*T1^3*T2^9 + 902*T1^4*T2^9 + 5928*T1^5*T2^9 - 16084*T1^6*T2^9 + 
     8593*T1^7*T2^9 + 8593*T1^8*T2^9 - 16084*T1^9*T2^9 + 5928*T1^10*T2^9 + 
     902*T1^11*T2^9 - 612*T1^12*T2^9 + 470*T1^4*T2^10 - 1782*T1^5*T2^10 + 
     500*T1^6*T2^10 + 5928*T1^7*T2^10 - 9432*T1^8*T2^10 + 5928*T1^9*T2^10 + 
     500*T1^10*T2^10 - 1782*T1^11*T2^10 + 470*T1^12*T2^10 - 188*T1^5*T2^11 + 
     994*T1^6*T2^11 - 1782*T1^7*T2^11 + 902*T1^8*T2^11 + 902*T1^9*T2^11 - 
     1782*T1^10*T2^11 + 994*T1^11*T2^11 - 188*T1^12*T2^11 + 30*T1^6*T2^12 - 
     188*T1^7*T2^12 + 470*T1^8*T2^12 - 612*T1^9*T2^12 + 470*T1^10*T2^12 - 
     188*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 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), -((1 - 9*T1 + 33*T1^2 - 65*T1^3 + 79*T1^4 - 65*T1^5 + 33*T1^6 - 
      9*T1^7 + T1^8 - 9*T2 + 72*T1*T2 - 216*T1^2*T2 + 288*T1^3*T2 - 
      126*T1^4*T2 - 126*T1^5*T2 + 288*T1^6*T2 - 216*T1^7*T2 + 72*T1^8*T2 - 
      9*T1^9*T2 + 33*T2^2 - 216*T1*T2^2 + 396*T1^2*T2^2 + 211*T1^3*T2^2 - 
      1523*T1^4*T2^2 + 2056*T1^5*T2^2 - 1523*T1^6*T2^2 + 211*T1^7*T2^2 + 
      396*T1^8*T2^2 - 216*T1^9*T2^2 + 33*T1^10*T2^2 - 65*T2^3 + 288*T1*T2^3 + 
      211*T1^2*T2^3 - 2856*T1^3*T2^3 + 4787*T1^4*T2^3 - 2038*T1^5*T2^3 - 
      2038*T1^6*T2^3 + 4787*T1^7*T2^3 - 2856*T1^8*T2^3 + 211*T1^9*T2^3 + 
      288*T1^10*T2^3 - 65*T1^11*T2^3 + 79*T2^4 - 126*T1*T2^4 - 
      1523*T1^2*T2^4 + 4787*T1^3*T2^4 - 1179*T1^4*T2^4 - 10275*T1^5*T2^4 + 
      14487*T1^6*T2^4 - 10275*T1^7*T2^4 - 1179*T1^8*T2^4 + 4787*T1^9*T2^4 - 
      1523*T1^10*T2^4 - 126*T1^11*T2^4 + 79*T1^12*T2^4 - 65*T2^5 - 
      126*T1*T2^5 + 2056*T1^2*T2^5 - 2038*T1^3*T2^5 - 10275*T1^4*T2^5 + 
      21790*T1^5*T2^5 - 9193*T1^6*T2^5 - 9193*T1^7*T2^5 + 21790*T1^8*T2^5 - 
      10275*T1^9*T2^5 - 2038*T1^10*T2^5 + 2056*T1^11*T2^5 - 126*T1^12*T2^5 - 
      65*T1^13*T2^5 + 33*T2^6 + 288*T1*T2^6 - 1523*T1^2*T2^6 - 
      2038*T1^3*T2^6 + 14487*T1^4*T2^6 - 9193*T1^5*T2^6 - 22802*T1^6*T2^6 + 
      34462*T1^7*T2^6 - 22802*T1^8*T2^6 - 9193*T1^9*T2^6 + 14487*T1^10*T2^6 - 
      2038*T1^11*T2^6 - 1523*T1^12*T2^6 + 288*T1^13*T2^6 + 33*T1^14*T2^6 - 
      9*T2^7 - 216*T1*T2^7 + 211*T1^2*T2^7 + 4787*T1^3*T2^7 - 
      10275*T1^4*T2^7 - 9193*T1^5*T2^7 + 34462*T1^6*T2^7 - 15172*T1^7*T2^7 - 
      15172*T1^8*T2^7 + 34462*T1^9*T2^7 - 9193*T1^10*T2^7 - 
      10275*T1^11*T2^7 + 4787*T1^12*T2^7 + 211*T1^13*T2^7 - 216*T1^14*T2^7 - 
      9*T1^15*T2^7 + T2^8 + 72*T1*T2^8 + 396*T1^2*T2^8 - 2856*T1^3*T2^8 - 
      1179*T1^4*T2^8 + 21790*T1^5*T2^8 - 22802*T1^6*T2^8 - 15172*T1^7*T2^8 + 
      29508*T1^8*T2^8 - 15172*T1^9*T2^8 - 22802*T1^10*T2^8 + 
      21790*T1^11*T2^8 - 1179*T1^12*T2^8 - 2856*T1^13*T2^8 + 396*T1^14*T2^8 + 
      72*T1^15*T2^8 + T1^16*T2^8 - 9*T1*T2^9 - 216*T1^2*T2^9 + 
      211*T1^3*T2^9 + 4787*T1^4*T2^9 - 10275*T1^5*T2^9 - 9193*T1^6*T2^9 + 
      34462*T1^7*T2^9 - 15172*T1^8*T2^9 - 15172*T1^9*T2^9 + 
      34462*T1^10*T2^9 - 9193*T1^11*T2^9 - 10275*T1^12*T2^9 + 
      4787*T1^13*T2^9 + 211*T1^14*T2^9 - 216*T1^15*T2^9 - 9*T1^16*T2^9 + 
      33*T1^2*T2^10 + 288*T1^3*T2^10 - 1523*T1^4*T2^10 - 2038*T1^5*T2^10 + 
      14487*T1^6*T2^10 - 9193*T1^7*T2^10 - 22802*T1^8*T2^10 + 
      34462*T1^9*T2^10 - 22802*T1^10*T2^10 - 9193*T1^11*T2^10 + 
      14487*T1^12*T2^10 - 2038*T1^13*T2^10 - 1523*T1^14*T2^10 + 
      288*T1^15*T2^10 + 33*T1^16*T2^10 - 65*T1^3*T2^11 - 126*T1^4*T2^11 + 
      2056*T1^5*T2^11 - 2038*T1^6*T2^11 - 10275*T1^7*T2^11 + 
      21790*T1^8*T2^11 - 9193*T1^9*T2^11 - 9193*T1^10*T2^11 + 
      21790*T1^11*T2^11 - 10275*T1^12*T2^11 - 2038*T1^13*T2^11 + 
      2056*T1^14*T2^11 - 126*T1^15*T2^11 - 65*T1^16*T2^11 + 79*T1^4*T2^12 - 
      126*T1^5*T2^12 - 1523*T1^6*T2^12 + 4787*T1^7*T2^12 - 1179*T1^8*T2^12 - 
      10275*T1^9*T2^12 + 14487*T1^10*T2^12 - 10275*T1^11*T2^12 - 
      1179*T1^12*T2^12 + 4787*T1^13*T2^12 - 1523*T1^14*T2^12 - 
      126*T1^15*T2^12 + 79*T1^16*T2^12 - 65*T1^5*T2^13 + 288*T1^6*T2^13 + 
      211*T1^7*T2^13 - 2856*T1^8*T2^13 + 4787*T1^9*T2^13 - 2038*T1^10*T2^13 - 
      2038*T1^11*T2^13 + 4787*T1^12*T2^13 - 2856*T1^13*T2^13 + 
      211*T1^14*T2^13 + 288*T1^15*T2^13 - 65*T1^16*T2^13 + 33*T1^6*T2^14 - 
      216*T1^7*T2^14 + 396*T1^8*T2^14 + 211*T1^9*T2^14 - 1523*T1^10*T2^14 + 
      2056*T1^11*T2^14 - 1523*T1^12*T2^14 + 211*T1^13*T2^14 + 
      396*T1^14*T2^14 - 216*T1^15*T2^14 + 33*T1^16*T2^14 - 9*T1^7*T2^15 + 
      72*T1^8*T2^15 - 216*T1^9*T2^15 + 288*T1^10*T2^15 - 126*T1^11*T2^15 - 
      126*T1^12*T2^15 + 288*T1^13*T2^15 - 216*T1^14*T2^15 + 72*T1^15*T2^15 - 
      9*T1^16*T2^15 + T1^8*T2^16 - 9*T1^9*T2^16 + 33*T1^10*T2^16 - 
      65*T1^11*T2^16 + 79*T1^12*T2^16 - 65*T1^13*T2^16 + 33*T1^14*T2^16 - 
      9*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   (2 - 12*T1 + 28*T1^2 - 36*T1^3 + 28*T1^4 - 12*T1^5 + 2*T1^6 - 12*T2 + 
     54*T1*T2 - 76*T1^2*T2 + 32*T1^3*T2 + 32*T1^4*T2 - 76*T1^5*T2 + 
     54*T1^6*T2 - 12*T1^7*T2 + 28*T2^2 - 76*T1*T2^2 + 12*T1^2*T2^2 + 
     29*T1^3*T2^2 + 48*T1^4*T2^2 + 29*T1^5*T2^2 + 12*T1^6*T2^2 - 
     76*T1^7*T2^2 + 28*T1^8*T2^2 - 36*T2^3 + 32*T1*T2^3 + 29*T1^2*T2^3 + 
     346*T1^3*T2^3 - 436*T1^4*T2^3 - 436*T1^5*T2^3 + 346*T1^6*T2^3 + 
     29*T1^7*T2^3 + 32*T1^8*T2^3 - 36*T1^9*T2^3 + 28*T2^4 + 32*T1*T2^4 + 
     48*T1^2*T2^4 - 436*T1^3*T2^4 - 949*T1^4*T2^4 + 2851*T1^5*T2^4 - 
     949*T1^6*T2^4 - 436*T1^7*T2^4 + 48*T1^8*T2^4 + 32*T1^9*T2^4 + 
     28*T1^10*T2^4 - 12*T2^5 - 76*T1*T2^5 + 29*T1^2*T2^5 - 436*T1^3*T2^5 + 
     2851*T1^4*T2^5 - 2586*T1^5*T2^5 - 2586*T1^6*T2^5 + 2851*T1^7*T2^5 - 
     436*T1^8*T2^5 + 29*T1^9*T2^5 - 76*T1^10*T2^5 - 12*T1^11*T2^5 + 2*T2^6 + 
     54*T1*T2^6 + 12*T1^2*T2^6 + 346*T1^3*T2^6 - 949*T1^4*T2^6 - 
     2586*T1^5*T2^6 + 6768*T1^6*T2^6 - 2586*T1^7*T2^6 - 949*T1^8*T2^6 + 
     346*T1^9*T2^6 + 12*T1^10*T2^6 + 54*T1^11*T2^6 + 2*T1^12*T2^6 - 
     12*T1*T2^7 - 76*T1^2*T2^7 + 29*T1^3*T2^7 - 436*T1^4*T2^7 + 
     2851*T1^5*T2^7 - 2586*T1^6*T2^7 - 2586*T1^7*T2^7 + 2851*T1^8*T2^7 - 
     436*T1^9*T2^7 + 29*T1^10*T2^7 - 76*T1^11*T2^7 - 12*T1^12*T2^7 + 
     28*T1^2*T2^8 + 32*T1^3*T2^8 + 48*T1^4*T2^8 - 436*T1^5*T2^8 - 
     949*T1^6*T2^8 + 2851*T1^7*T2^8 - 949*T1^8*T2^8 - 436*T1^9*T2^8 + 
     48*T1^10*T2^8 + 32*T1^11*T2^8 + 28*T1^12*T2^8 - 36*T1^3*T2^9 + 
     32*T1^4*T2^9 + 29*T1^5*T2^9 + 346*T1^6*T2^9 - 436*T1^7*T2^9 - 
     436*T1^8*T2^9 + 346*T1^9*T2^9 + 29*T1^10*T2^9 + 32*T1^11*T2^9 - 
     36*T1^12*T2^9 + 28*T1^4*T2^10 - 76*T1^5*T2^10 + 12*T1^6*T2^10 + 
     29*T1^7*T2^10 + 48*T1^8*T2^10 + 29*T1^9*T2^10 + 12*T1^10*T2^10 - 
     76*T1^11*T2^10 + 28*T1^12*T2^10 - 12*T1^5*T2^11 + 54*T1^6*T2^11 - 
     76*T1^7*T2^11 + 32*T1^8*T2^11 + 32*T1^9*T2^11 - 76*T1^10*T2^11 + 
     54*T1^11*T2^11 - 12*T1^12*T2^11 + 2*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 + 
     2*T1^12*T2^12)/(T1^6*T2^6)}, 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, (17 - 92*T1 + 230*T1^2 - 356*T1^3 + 411*T1^4 - 356*T1^5 + 230*T1^6 - 
     92*T1^7 + 17*T1^8 - 92*T2 + 408*T1*T2 - 755*T1^2*T2 + 694*T1^3*T2 - 
     303*T1^4*T2 - 303*T1^5*T2 + 694*T1^6*T2 - 755*T1^7*T2 + 408*T1^8*T2 - 
     92*T1^9*T2 + 230*T2^2 - 755*T1*T2^2 + 659*T1^2*T2^2 + 727*T1^3*T2^2 - 
     1936*T1^4*T2^2 + 2643*T1^5*T2^2 - 1936*T1^6*T2^2 + 727*T1^7*T2^2 + 
     659*T1^8*T2^2 - 755*T1^9*T2^2 + 230*T1^10*T2^2 - 356*T2^3 + 
     694*T1*T2^3 + 727*T1^2*T2^3 - 3336*T1^3*T2^3 + 3108*T1^4*T2^3 - 
     1639*T1^5*T2^3 - 1639*T1^6*T2^3 + 3108*T1^7*T2^3 - 3336*T1^8*T2^3 + 
     727*T1^9*T2^3 + 694*T1^10*T2^3 - 356*T1^11*T2^3 + 411*T2^4 - 
     303*T1*T2^4 - 1936*T1^2*T2^4 + 3108*T1^3*T2^4 + 1432*T1^4*T2^4 - 
     4543*T1^5*T2^4 + 7402*T1^6*T2^4 - 4543*T1^7*T2^4 + 1432*T1^8*T2^4 + 
     3108*T1^9*T2^4 - 1936*T1^10*T2^4 - 303*T1^11*T2^4 + 411*T1^12*T2^4 - 
     356*T2^5 - 303*T1*T2^5 + 2643*T1^2*T2^5 - 1639*T1^3*T2^5 - 
     4543*T1^4*T2^5 + 4038*T1^5*T2^5 - 3214*T1^6*T2^5 - 3214*T1^7*T2^5 + 
     4038*T1^8*T2^5 - 4543*T1^9*T2^5 - 1639*T1^10*T2^5 + 2643*T1^11*T2^5 - 
     303*T1^12*T2^5 - 356*T1^13*T2^5 + 230*T2^6 + 694*T1*T2^6 - 
     1936*T1^2*T2^6 - 1639*T1^3*T2^6 + 7402*T1^4*T2^6 - 3214*T1^5*T2^6 + 
     2228*T1^6*T2^6 + 2394*T1^7*T2^6 + 2228*T1^8*T2^6 - 3214*T1^9*T2^6 + 
     7402*T1^10*T2^6 - 1639*T1^11*T2^6 - 1936*T1^12*T2^6 + 694*T1^13*T2^6 + 
     230*T1^14*T2^6 - 92*T2^7 - 755*T1*T2^7 + 727*T1^2*T2^7 + 
     3108*T1^3*T2^7 - 4543*T1^4*T2^7 - 3214*T1^5*T2^7 + 2394*T1^6*T2^7 - 
     3788*T1^7*T2^7 - 3788*T1^8*T2^7 + 2394*T1^9*T2^7 - 3214*T1^10*T2^7 - 
     4543*T1^11*T2^7 + 3108*T1^12*T2^7 + 727*T1^13*T2^7 - 755*T1^14*T2^7 - 
     92*T1^15*T2^7 + 17*T2^8 + 408*T1*T2^8 + 659*T1^2*T2^8 - 3336*T1^3*T2^8 + 
     1432*T1^4*T2^8 + 4038*T1^5*T2^8 + 2228*T1^6*T2^8 - 3788*T1^7*T2^8 + 
     9900*T1^8*T2^8 - 3788*T1^9*T2^8 + 2228*T1^10*T2^8 + 4038*T1^11*T2^8 + 
     1432*T1^12*T2^8 - 3336*T1^13*T2^8 + 659*T1^14*T2^8 + 408*T1^15*T2^8 + 
     17*T1^16*T2^8 - 92*T1*T2^9 - 755*T1^2*T2^9 + 727*T1^3*T2^9 + 
     3108*T1^4*T2^9 - 4543*T1^5*T2^9 - 3214*T1^6*T2^9 + 2394*T1^7*T2^9 - 
     3788*T1^8*T2^9 - 3788*T1^9*T2^9 + 2394*T1^10*T2^9 - 3214*T1^11*T2^9 - 
     4543*T1^12*T2^9 + 3108*T1^13*T2^9 + 727*T1^14*T2^9 - 755*T1^15*T2^9 - 
     92*T1^16*T2^9 + 230*T1^2*T2^10 + 694*T1^3*T2^10 - 1936*T1^4*T2^10 - 
     1639*T1^5*T2^10 + 7402*T1^6*T2^10 - 3214*T1^7*T2^10 + 2228*T1^8*T2^10 + 
     2394*T1^9*T2^10 + 2228*T1^10*T2^10 - 3214*T1^11*T2^10 + 
     7402*T1^12*T2^10 - 1639*T1^13*T2^10 - 1936*T1^14*T2^10 + 
     694*T1^15*T2^10 + 230*T1^16*T2^10 - 356*T1^3*T2^11 - 303*T1^4*T2^11 + 
     2643*T1^5*T2^11 - 1639*T1^6*T2^11 - 4543*T1^7*T2^11 + 4038*T1^8*T2^11 - 
     3214*T1^9*T2^11 - 3214*T1^10*T2^11 + 4038*T1^11*T2^11 - 
     4543*T1^12*T2^11 - 1639*T1^13*T2^11 + 2643*T1^14*T2^11 - 
     303*T1^15*T2^11 - 356*T1^16*T2^11 + 411*T1^4*T2^12 - 303*T1^5*T2^12 - 
     1936*T1^6*T2^12 + 3108*T1^7*T2^12 + 1432*T1^8*T2^12 - 4543*T1^9*T2^12 + 
     7402*T1^10*T2^12 - 4543*T1^11*T2^12 + 1432*T1^12*T2^12 + 
     3108*T1^13*T2^12 - 1936*T1^14*T2^12 - 303*T1^15*T2^12 + 
     411*T1^16*T2^12 - 356*T1^5*T2^13 + 694*T1^6*T2^13 + 727*T1^7*T2^13 - 
     3336*T1^8*T2^13 + 3108*T1^9*T2^13 - 1639*T1^10*T2^13 - 
     1639*T1^11*T2^13 + 3108*T1^12*T2^13 - 3336*T1^13*T2^13 + 
     727*T1^14*T2^13 + 694*T1^15*T2^13 - 356*T1^16*T2^13 + 230*T1^6*T2^14 - 
     755*T1^7*T2^14 + 659*T1^8*T2^14 + 727*T1^9*T2^14 - 1936*T1^10*T2^14 + 
     2643*T1^11*T2^14 - 1936*T1^12*T2^14 + 727*T1^13*T2^14 + 
     659*T1^14*T2^14 - 755*T1^15*T2^14 + 230*T1^16*T2^14 - 92*T1^7*T2^15 + 
     408*T1^8*T2^15 - 755*T1^9*T2^15 + 694*T1^10*T2^15 - 303*T1^11*T2^15 - 
     303*T1^12*T2^15 + 694*T1^13*T2^15 - 755*T1^14*T2^15 + 408*T1^15*T2^15 - 
     92*T1^16*T2^15 + 17*T1^8*T2^16 - 92*T1^9*T2^16 + 230*T1^10*T2^16 - 
     356*T1^11*T2^16 + 411*T1^12*T2^16 - 356*T1^13*T2^16 + 230*T1^14*T2^16 - 
     92*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 267] -> 
  {(4 - 22*T + 52*T^2 - 67*T^3 + 52*T^4 - 22*T^5 + 4*T^6)/T^3, 
   (80 - 432*T1 + 1004*T1^2 - 1280*T1^3 + 1004*T1^4 - 432*T1^5 + 80*T1^6 - 
     432*T2 + 1910*T1*T2 - 3118*T1^2*T2 + 1512*T1^3*T2 + 1512*T1^4*T2 - 
     3118*T1^5*T2 + 1910*T1^6*T2 - 432*T1^7*T2 + 1004*T2^2 - 3118*T1*T2^2 + 
     1021*T1^2*T2^2 + 8047*T1^3*T2^2 - 12623*T1^4*T2^2 + 8047*T1^5*T2^2 + 
     1021*T1^6*T2^2 - 3118*T1^7*T2^2 + 1004*T1^8*T2^2 - 1280*T2^3 + 
     1512*T1*T2^3 + 8047*T1^2*T2^3 - 20576*T1^3*T2^3 + 10319*T1^4*T2^3 + 
     10319*T1^5*T2^3 - 20576*T1^6*T2^3 + 8047*T1^7*T2^3 + 1512*T1^8*T2^3 - 
     1280*T1^9*T2^3 + 1004*T2^4 + 1512*T1*T2^4 - 12623*T1^2*T2^4 + 
     10319*T1^3*T2^4 + 25494*T1^4*T2^4 - 43084*T1^5*T2^4 + 25494*T1^6*T2^4 + 
     10319*T1^7*T2^4 - 12623*T1^8*T2^4 + 1512*T1^9*T2^4 + 1004*T1^10*T2^4 - 
     432*T2^5 - 3118*T1*T2^5 + 8047*T1^2*T2^5 + 10319*T1^3*T2^5 - 
     43084*T1^4*T2^5 + 21900*T1^5*T2^5 + 21900*T1^6*T2^5 - 43084*T1^7*T2^5 + 
     10319*T1^8*T2^5 + 8047*T1^9*T2^5 - 3118*T1^10*T2^5 - 432*T1^11*T2^5 + 
     80*T2^6 + 1910*T1*T2^6 + 1021*T1^2*T2^6 - 20576*T1^3*T2^6 + 
     25494*T1^4*T2^6 + 21900*T1^5*T2^6 - 45036*T1^6*T2^6 + 21900*T1^7*T2^6 + 
     25494*T1^8*T2^6 - 20576*T1^9*T2^6 + 1021*T1^10*T2^6 + 1910*T1^11*T2^6 + 
     80*T1^12*T2^6 - 432*T1*T2^7 - 3118*T1^2*T2^7 + 8047*T1^3*T2^7 + 
     10319*T1^4*T2^7 - 43084*T1^5*T2^7 + 21900*T1^6*T2^7 + 21900*T1^7*T2^7 - 
     43084*T1^8*T2^7 + 10319*T1^9*T2^7 + 8047*T1^10*T2^7 - 3118*T1^11*T2^7 - 
     432*T1^12*T2^7 + 1004*T1^2*T2^8 + 1512*T1^3*T2^8 - 12623*T1^4*T2^8 + 
     10319*T1^5*T2^8 + 25494*T1^6*T2^8 - 43084*T1^7*T2^8 + 25494*T1^8*T2^8 + 
     10319*T1^9*T2^8 - 12623*T1^10*T2^8 + 1512*T1^11*T2^8 + 1004*T1^12*T2^8 - 
     1280*T1^3*T2^9 + 1512*T1^4*T2^9 + 8047*T1^5*T2^9 - 20576*T1^6*T2^9 + 
     10319*T1^7*T2^9 + 10319*T1^8*T2^9 - 20576*T1^9*T2^9 + 8047*T1^10*T2^9 + 
     1512*T1^11*T2^9 - 1280*T1^12*T2^9 + 1004*T1^4*T2^10 - 3118*T1^5*T2^10 + 
     1021*T1^6*T2^10 + 8047*T1^7*T2^10 - 12623*T1^8*T2^10 + 8047*T1^9*T2^10 + 
     1021*T1^10*T2^10 - 3118*T1^11*T2^10 + 1004*T1^12*T2^10 - 
     432*T1^5*T2^11 + 1910*T1^6*T2^11 - 3118*T1^7*T2^11 + 1512*T1^8*T2^11 + 
     1512*T1^9*T2^11 - 3118*T1^10*T2^11 + 1910*T1^11*T2^11 - 
     432*T1^12*T2^11 + 80*T1^6*T2^12 - 432*T1^7*T2^12 + 1004*T1^8*T2^12 - 
     1280*T1^9*T2^12 + 1004*T1^10*T2^12 - 432*T1^11*T2^12 + 80*T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   0}, Knot[12, Alternating, 269] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^3), 
   -((144 - 640*T1 + 1188*T1^2 - 1424*T1^3 + 1188*T1^4 - 640*T1^5 + 
      144*T1^6 - 640*T2 + 2214*T1*T2 - 2462*T1^2*T2 + 1064*T1^3*T2 + 
      1064*T1^4*T2 - 2462*T1^5*T2 + 2214*T1^6*T2 - 640*T1^7*T2 + 1188*T2^2 - 
      2462*T1*T2^2 - 1671*T1^2*T2^2 + 6773*T1^3*T2^2 - 9049*T1^4*T2^2 + 
      6773*T1^5*T2^2 - 1671*T1^6*T2^2 - 2462*T1^7*T2^2 + 1188*T1^8*T2^2 - 
      1424*T2^3 + 1064*T1*T2^3 + 6773*T1^2*T2^3 - 8594*T1^3*T2^3 + 
      3897*T1^4*T2^3 + 3897*T1^5*T2^3 - 8594*T1^6*T2^3 + 6773*T1^7*T2^3 + 
      1064*T1^8*T2^3 - 1424*T1^9*T2^3 + 1188*T2^4 + 1064*T1*T2^4 - 
      9049*T1^2*T2^4 + 3897*T1^3*T2^4 + 3415*T1^4*T2^4 - 7111*T1^5*T2^4 + 
      3415*T1^6*T2^4 + 3897*T1^7*T2^4 - 9049*T1^8*T2^4 + 1064*T1^9*T2^4 + 
      1188*T1^10*T2^4 - 640*T2^5 - 2462*T1*T2^5 + 6773*T1^2*T2^5 + 
      3897*T1^3*T2^5 - 7111*T1^4*T2^5 + 3720*T1^5*T2^5 + 3720*T1^6*T2^5 - 
      7111*T1^7*T2^5 + 3897*T1^8*T2^5 + 6773*T1^9*T2^5 - 2462*T1^10*T2^5 - 
      640*T1^11*T2^5 + 144*T2^6 + 2214*T1*T2^6 - 1671*T1^2*T2^6 - 
      8594*T1^3*T2^6 + 3415*T1^4*T2^6 + 3720*T1^5*T2^6 - 7704*T1^6*T2^6 + 
      3720*T1^7*T2^6 + 3415*T1^8*T2^6 - 8594*T1^9*T2^6 - 1671*T1^10*T2^6 + 
      2214*T1^11*T2^6 + 144*T1^12*T2^6 - 640*T1*T2^7 - 2462*T1^2*T2^7 + 
      6773*T1^3*T2^7 + 3897*T1^4*T2^7 - 7111*T1^5*T2^7 + 3720*T1^6*T2^7 + 
      3720*T1^7*T2^7 - 7111*T1^8*T2^7 + 3897*T1^9*T2^7 + 6773*T1^10*T2^7 - 
      2462*T1^11*T2^7 - 640*T1^12*T2^7 + 1188*T1^2*T2^8 + 1064*T1^3*T2^8 - 
      9049*T1^4*T2^8 + 3897*T1^5*T2^8 + 3415*T1^6*T2^8 - 7111*T1^7*T2^8 + 
      3415*T1^8*T2^8 + 3897*T1^9*T2^8 - 9049*T1^10*T2^8 + 1064*T1^11*T2^8 + 
      1188*T1^12*T2^8 - 1424*T1^3*T2^9 + 1064*T1^4*T2^9 + 6773*T1^5*T2^9 - 
      8594*T1^6*T2^9 + 3897*T1^7*T2^9 + 3897*T1^8*T2^9 - 8594*T1^9*T2^9 + 
      6773*T1^10*T2^9 + 1064*T1^11*T2^9 - 1424*T1^12*T2^9 + 1188*T1^4*T2^10 - 
      2462*T1^5*T2^10 - 1671*T1^6*T2^10 + 6773*T1^7*T2^10 - 9049*T1^8*T2^10 + 
      6773*T1^9*T2^10 - 1671*T1^10*T2^10 - 2462*T1^11*T2^10 + 
      1188*T1^12*T2^10 - 640*T1^5*T2^11 + 2214*T1^6*T2^11 - 2462*T1^7*T2^11 + 
      1064*T1^8*T2^11 + 1064*T1^9*T2^11 - 2462*T1^10*T2^11 + 
      2214*T1^11*T2^11 - 640*T1^12*T2^11 + 144*T1^6*T2^12 - 640*T1^7*T2^12 + 
      1188*T1^8*T2^12 - 1424*T1^9*T2^12 + 1188*T1^10*T2^12 - 
      640*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 270] -> 
  {-(((-2 + T)*(-1 + 2*T)*(3 - 5*T + 3*T^2))/T^2), 
   -((315 - 1301*T1 + 1907*T1^2 - 1301*T1^3 + 315*T1^4 - 1301*T2 + 
      4084*T1*T2 - 2516*T1^2*T2 - 2516*T1^3*T2 + 4084*T1^4*T2 - 
      1301*T1^5*T2 + 1907*T2^2 - 2516*T1*T2^2 - 8775*T1^2*T2^2 + 
      16919*T1^3*T2^2 - 8775*T1^4*T2^2 - 2516*T1^5*T2^2 + 1907*T1^6*T2^2 - 
      1301*T2^3 - 2516*T1*T2^3 + 16919*T1^2*T2^3 - 11290*T1^3*T2^3 - 
      11290*T1^4*T2^3 + 16919*T1^5*T2^3 - 2516*T1^6*T2^3 - 1301*T1^7*T2^3 + 
      315*T2^4 + 4084*T1*T2^4 - 8775*T1^2*T2^4 - 11290*T1^3*T2^4 + 
      26844*T1^4*T2^4 - 11290*T1^5*T2^4 - 8775*T1^6*T2^4 + 4084*T1^7*T2^4 + 
      315*T1^8*T2^4 - 1301*T1*T2^5 - 2516*T1^2*T2^5 + 16919*T1^3*T2^5 - 
      11290*T1^4*T2^5 - 11290*T1^5*T2^5 + 16919*T1^6*T2^5 - 2516*T1^7*T2^5 - 
      1301*T1^8*T2^5 + 1907*T1^2*T2^6 - 2516*T1^3*T2^6 - 8775*T1^4*T2^6 + 
      16919*T1^5*T2^6 - 8775*T1^6*T2^6 - 2516*T1^7*T2^6 + 1907*T1^8*T2^6 - 
      1301*T1^3*T2^7 + 4084*T1^4*T2^7 - 2516*T1^5*T2^7 - 2516*T1^6*T2^7 + 
      4084*T1^7*T2^7 - 1301*T1^8*T2^7 + 315*T1^4*T2^8 - 1301*T1^5*T2^8 + 
      1907*T1^6*T2^8 - 1301*T1^7*T2^8 + 315*T1^8*T2^8)/(T1^4*T2^4))}, 
 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, 
   (1 - 6*T1 + 4*T1^2 - T1^3 + 4*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 22*T1*T2 + 
     19*T1^2*T2 - 20*T1^3*T2 - 20*T1^4*T2 + 19*T1^5*T2 + 22*T1^6*T2 - 
     6*T1^7*T2 + 4*T2^2 + 19*T1*T2^2 - 189*T1^2*T2^2 + 30*T1^3*T2^2 + 
     117*T1^4*T2^2 + 30*T1^5*T2^2 - 189*T1^6*T2^2 + 19*T1^7*T2^2 + 
     4*T1^8*T2^2 - T2^3 - 20*T1*T2^3 + 30*T1^2*T2^3 + 784*T1^3*T2^3 - 
     530*T1^4*T2^3 - 530*T1^5*T2^3 + 784*T1^6*T2^3 + 30*T1^7*T2^3 - 
     20*T1^8*T2^3 - T1^9*T2^3 + 4*T2^4 - 20*T1*T2^4 + 117*T1^2*T2^4 - 
     530*T1^3*T2^4 - 2134*T1^4*T2^4 + 3892*T1^5*T2^4 - 2134*T1^6*T2^4 - 
     530*T1^7*T2^4 + 117*T1^8*T2^4 - 20*T1^9*T2^4 + 4*T1^10*T2^4 - 6*T2^5 + 
     19*T1*T2^5 + 30*T1^2*T2^5 - 530*T1^3*T2^5 + 3892*T1^4*T2^5 - 
     2388*T1^5*T2^5 - 2388*T1^6*T2^5 + 3892*T1^7*T2^5 - 530*T1^8*T2^5 + 
     30*T1^9*T2^5 + 19*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 22*T1*T2^6 - 
     189*T1^2*T2^6 + 784*T1^3*T2^6 - 2134*T1^4*T2^6 - 2388*T1^5*T2^6 + 
     5412*T1^6*T2^6 - 2388*T1^7*T2^6 - 2134*T1^8*T2^6 + 784*T1^9*T2^6 - 
     189*T1^10*T2^6 + 22*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 + 19*T1^2*T2^7 + 
     30*T1^3*T2^7 - 530*T1^4*T2^7 + 3892*T1^5*T2^7 - 2388*T1^6*T2^7 - 
     2388*T1^7*T2^7 + 3892*T1^8*T2^7 - 530*T1^9*T2^7 + 30*T1^10*T2^7 + 
     19*T1^11*T2^7 - 6*T1^12*T2^7 + 4*T1^2*T2^8 - 20*T1^3*T2^8 + 
     117*T1^4*T2^8 - 530*T1^5*T2^8 - 2134*T1^6*T2^8 + 3892*T1^7*T2^8 - 
     2134*T1^8*T2^8 - 530*T1^9*T2^8 + 117*T1^10*T2^8 - 20*T1^11*T2^8 + 
     4*T1^12*T2^8 - T1^3*T2^9 - 20*T1^4*T2^9 + 30*T1^5*T2^9 + 784*T1^6*T2^9 - 
     530*T1^7*T2^9 - 530*T1^8*T2^9 + 784*T1^9*T2^9 + 30*T1^10*T2^9 - 
     20*T1^11*T2^9 - T1^12*T2^9 + 4*T1^4*T2^10 + 19*T1^5*T2^10 - 
     189*T1^6*T2^10 + 30*T1^7*T2^10 + 117*T1^8*T2^10 + 30*T1^9*T2^10 - 
     189*T1^10*T2^10 + 19*T1^11*T2^10 + 4*T1^12*T2^10 - 6*T1^5*T2^11 + 
     22*T1^6*T2^11 + 19*T1^7*T2^11 - 20*T1^8*T2^11 - 20*T1^9*T2^11 + 
     19*T1^10*T2^11 + 22*T1^11*T2^11 - 6*T1^12*T2^11 + T1^6*T2^12 - 
     6*T1^7*T2^12 + 4*T1^8*T2^12 - T1^9*T2^12 + 4*T1^10*T2^12 - 
     6*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 272] -> 
  {(2 - 14*T + 39*T^2 - 53*T^3 + 39*T^4 - 14*T^5 + 2*T^6)/T^3, 
   -((7 - 49*T1 + 135*T1^2 - 183*T1^3 + 135*T1^4 - 49*T1^5 + 7*T1^6 - 49*T2 + 
      294*T1*T2 - 602*T1^2*T2 + 336*T1^3*T2 + 336*T1^4*T2 - 602*T1^5*T2 + 
      294*T1^6*T2 - 49*T1^7*T2 + 135*T2^2 - 602*T1*T2^2 + 331*T1^2*T2^2 + 
      2163*T1^3*T2^2 - 3795*T1^4*T2^2 + 2163*T1^5*T2^2 + 331*T1^6*T2^2 - 
      602*T1^7*T2^2 + 135*T1^8*T2^2 - 183*T2^3 + 336*T1*T2^3 + 
      2163*T1^2*T2^3 - 7040*T1^3*T2^3 + 4266*T1^4*T2^3 + 4266*T1^5*T2^3 - 
      7040*T1^6*T2^3 + 2163*T1^7*T2^3 + 336*T1^8*T2^3 - 183*T1^9*T2^3 + 
      135*T2^4 + 336*T1*T2^4 - 3795*T1^2*T2^4 + 4266*T1^3*T2^4 + 
      10306*T1^4*T2^4 - 20414*T1^5*T2^4 + 10306*T1^6*T2^4 + 4266*T1^7*T2^4 - 
      3795*T1^8*T2^4 + 336*T1^9*T2^4 + 135*T1^10*T2^4 - 49*T2^5 - 
      602*T1*T2^5 + 2163*T1^2*T2^5 + 4266*T1^3*T2^5 - 20414*T1^4*T2^5 + 
      12996*T1^5*T2^5 + 12996*T1^6*T2^5 - 20414*T1^7*T2^5 + 4266*T1^8*T2^5 + 
      2163*T1^9*T2^5 - 602*T1^10*T2^5 - 49*T1^11*T2^5 + 7*T2^6 + 
      294*T1*T2^6 + 331*T1^2*T2^6 - 7040*T1^3*T2^6 + 10306*T1^4*T2^6 + 
      12996*T1^5*T2^6 - 30000*T1^6*T2^6 + 12996*T1^7*T2^6 + 10306*T1^8*T2^6 - 
      7040*T1^9*T2^6 + 331*T1^10*T2^6 + 294*T1^11*T2^6 + 7*T1^12*T2^6 - 
      49*T1*T2^7 - 602*T1^2*T2^7 + 2163*T1^3*T2^7 + 4266*T1^4*T2^7 - 
      20414*T1^5*T2^7 + 12996*T1^6*T2^7 + 12996*T1^7*T2^7 - 20414*T1^8*T2^7 + 
      4266*T1^9*T2^7 + 2163*T1^10*T2^7 - 602*T1^11*T2^7 - 49*T1^12*T2^7 + 
      135*T1^2*T2^8 + 336*T1^3*T2^8 - 3795*T1^4*T2^8 + 4266*T1^5*T2^8 + 
      10306*T1^6*T2^8 - 20414*T1^7*T2^8 + 10306*T1^8*T2^8 + 4266*T1^9*T2^8 - 
      3795*T1^10*T2^8 + 336*T1^11*T2^8 + 135*T1^12*T2^8 - 183*T1^3*T2^9 + 
      336*T1^4*T2^9 + 2163*T1^5*T2^9 - 7040*T1^6*T2^9 + 4266*T1^7*T2^9 + 
      4266*T1^8*T2^9 - 7040*T1^9*T2^9 + 2163*T1^10*T2^9 + 336*T1^11*T2^9 - 
      183*T1^12*T2^9 + 135*T1^4*T2^10 - 602*T1^5*T2^10 + 331*T1^6*T2^10 + 
      2163*T1^7*T2^10 - 3795*T1^8*T2^10 + 2163*T1^9*T2^10 + 331*T1^10*T2^10 - 
      602*T1^11*T2^10 + 135*T1^12*T2^10 - 49*T1^5*T2^11 + 294*T1^6*T2^11 - 
      602*T1^7*T2^11 + 336*T1^8*T2^11 + 336*T1^9*T2^11 - 602*T1^10*T2^11 + 
      294*T1^11*T2^11 - 49*T1^12*T2^11 + 7*T1^6*T2^12 - 49*T1^7*T2^12 + 
      135*T1^8*T2^12 - 183*T1^9*T2^12 + 135*T1^10*T2^12 - 49*T1^11*T2^12 + 
      7*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 273] -> 
  {-((4 - 21*T + 47*T^2 - 61*T^3 + 47*T^4 - 21*T^5 + 4*T^6)/T^3), 0}, 
 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, -((17 - 67*T1 + 150*T1^2 - 216*T1^3 + 241*T1^4 - 216*T1^5 + 
      150*T1^6 - 67*T1^7 + 17*T1^8 - 67*T2 + 198*T1*T2 - 329*T1^2*T2 + 
      262*T1^3*T2 - 99*T1^4*T2 - 99*T1^5*T2 + 262*T1^6*T2 - 329*T1^7*T2 + 
      198*T1^8*T2 - 67*T1^9*T2 + 150*T2^2 - 329*T1*T2^2 + 428*T1^2*T2^2 - 
      131*T1^3*T2^2 + 6*T1^4*T2^2 + 42*T1^5*T2^2 + 6*T1^6*T2^2 - 
      131*T1^7*T2^2 + 428*T1^8*T2^2 - 329*T1^9*T2^2 + 150*T1^10*T2^2 - 
      216*T2^3 + 262*T1*T2^3 - 131*T1^2*T2^3 - 480*T1^3*T2^3 + 
      281*T1^4*T2^3 - 117*T1^5*T2^3 - 117*T1^6*T2^3 + 281*T1^7*T2^3 - 
      480*T1^8*T2^3 - 131*T1^9*T2^3 + 262*T1^10*T2^3 - 216*T1^11*T2^3 + 
      241*T2^4 - 99*T1*T2^4 + 6*T1^2*T2^4 + 281*T1^3*T2^4 + 917*T1^4*T2^4 - 
      1271*T1^5*T2^4 + 1501*T1^6*T2^4 - 1271*T1^7*T2^4 + 917*T1^8*T2^4 + 
      281*T1^9*T2^4 + 6*T1^10*T2^4 - 99*T1^11*T2^4 + 241*T1^12*T2^4 - 
      216*T2^5 - 99*T1*T2^5 + 42*T1^2*T2^5 - 117*T1^3*T2^5 - 1271*T1^4*T2^5 + 
      674*T1^5*T2^5 - 364*T1^6*T2^5 - 364*T1^7*T2^5 + 674*T1^8*T2^5 - 
      1271*T1^9*T2^5 - 117*T1^10*T2^5 + 42*T1^11*T2^5 - 99*T1^12*T2^5 - 
      216*T1^13*T2^5 + 150*T2^6 + 262*T1*T2^6 + 6*T1^2*T2^6 - 117*T1^3*T2^6 + 
      1501*T1^4*T2^6 - 364*T1^5*T2^6 + 375*T1^6*T2^6 + 65*T1^7*T2^6 + 
      375*T1^8*T2^6 - 364*T1^9*T2^6 + 1501*T1^10*T2^6 - 117*T1^11*T2^6 + 
      6*T1^12*T2^6 + 262*T1^13*T2^6 + 150*T1^14*T2^6 - 67*T2^7 - 
      329*T1*T2^7 - 131*T1^2*T2^7 + 281*T1^3*T2^7 - 1271*T1^4*T2^7 - 
      364*T1^5*T2^7 + 65*T1^6*T2^7 - 370*T1^7*T2^7 - 370*T1^8*T2^7 + 
      65*T1^9*T2^7 - 364*T1^10*T2^7 - 1271*T1^11*T2^7 + 281*T1^12*T2^7 - 
      131*T1^13*T2^7 - 329*T1^14*T2^7 - 67*T1^15*T2^7 + 17*T2^8 + 
      198*T1*T2^8 + 428*T1^2*T2^8 - 480*T1^3*T2^8 + 917*T1^4*T2^8 + 
      674*T1^5*T2^8 + 375*T1^6*T2^8 - 370*T1^7*T2^8 + 1092*T1^8*T2^8 - 
      370*T1^9*T2^8 + 375*T1^10*T2^8 + 674*T1^11*T2^8 + 917*T1^12*T2^8 - 
      480*T1^13*T2^8 + 428*T1^14*T2^8 + 198*T1^15*T2^8 + 17*T1^16*T2^8 - 
      67*T1*T2^9 - 329*T1^2*T2^9 - 131*T1^3*T2^9 + 281*T1^4*T2^9 - 
      1271*T1^5*T2^9 - 364*T1^6*T2^9 + 65*T1^7*T2^9 - 370*T1^8*T2^9 - 
      370*T1^9*T2^9 + 65*T1^10*T2^9 - 364*T1^11*T2^9 - 1271*T1^12*T2^9 + 
      281*T1^13*T2^9 - 131*T1^14*T2^9 - 329*T1^15*T2^9 - 67*T1^16*T2^9 + 
      150*T1^2*T2^10 + 262*T1^3*T2^10 + 6*T1^4*T2^10 - 117*T1^5*T2^10 + 
      1501*T1^6*T2^10 - 364*T1^7*T2^10 + 375*T1^8*T2^10 + 65*T1^9*T2^10 + 
      375*T1^10*T2^10 - 364*T1^11*T2^10 + 1501*T1^12*T2^10 - 
      117*T1^13*T2^10 + 6*T1^14*T2^10 + 262*T1^15*T2^10 + 150*T1^16*T2^10 - 
      216*T1^3*T2^11 - 99*T1^4*T2^11 + 42*T1^5*T2^11 - 117*T1^6*T2^11 - 
      1271*T1^7*T2^11 + 674*T1^8*T2^11 - 364*T1^9*T2^11 - 364*T1^10*T2^11 + 
      674*T1^11*T2^11 - 1271*T1^12*T2^11 - 117*T1^13*T2^11 + 42*T1^14*T2^11 - 
      99*T1^15*T2^11 - 216*T1^16*T2^11 + 241*T1^4*T2^12 - 99*T1^5*T2^12 + 
      6*T1^6*T2^12 + 281*T1^7*T2^12 + 917*T1^8*T2^12 - 1271*T1^9*T2^12 + 
      1501*T1^10*T2^12 - 1271*T1^11*T2^12 + 917*T1^12*T2^12 + 
      281*T1^13*T2^12 + 6*T1^14*T2^12 - 99*T1^15*T2^12 + 241*T1^16*T2^12 - 
      216*T1^5*T2^13 + 262*T1^6*T2^13 - 131*T1^7*T2^13 - 480*T1^8*T2^13 + 
      281*T1^9*T2^13 - 117*T1^10*T2^13 - 117*T1^11*T2^13 + 281*T1^12*T2^13 - 
      480*T1^13*T2^13 - 131*T1^14*T2^13 + 262*T1^15*T2^13 - 216*T1^16*T2^13 + 
      150*T1^6*T2^14 - 329*T1^7*T2^14 + 428*T1^8*T2^14 - 131*T1^9*T2^14 + 
      6*T1^10*T2^14 + 42*T1^11*T2^14 + 6*T1^12*T2^14 - 131*T1^13*T2^14 + 
      428*T1^14*T2^14 - 329*T1^15*T2^14 + 150*T1^16*T2^14 - 67*T1^7*T2^15 + 
      198*T1^8*T2^15 - 329*T1^9*T2^15 + 262*T1^10*T2^15 - 99*T1^11*T2^15 - 
      99*T1^12*T2^15 + 262*T1^13*T2^15 - 329*T1^14*T2^15 + 198*T1^15*T2^15 - 
      67*T1^16*T2^15 + 17*T1^8*T2^16 - 67*T1^9*T2^16 + 150*T1^10*T2^16 - 
      216*T1^11*T2^16 + 241*T1^12*T2^16 - 216*T1^13*T2^16 + 150*T1^14*T2^16 - 
      67*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 275] -> 
  {(4 - 18*T + 41*T^2 - 53*T^3 + 41*T^4 - 18*T^5 + 4*T^6)/T^3, 
   -((80 - 348*T1 + 784*T1^2 - 1008*T1^3 + 784*T1^4 - 348*T1^5 + 80*T1^6 - 
      348*T2 + 1174*T1*T2 - 1914*T1^2*T2 + 986*T1^3*T2 + 986*T1^4*T2 - 
      1914*T1^5*T2 + 1174*T1^6*T2 - 348*T1^7*T2 + 784*T2^2 - 1914*T1*T2^2 + 
      1899*T1^2*T2^2 + 1606*T1^3*T2^2 - 3857*T1^4*T2^2 + 1606*T1^5*T2^2 + 
      1899*T1^6*T2^2 - 1914*T1^7*T2^2 + 784*T1^8*T2^2 - 1008*T2^3 + 
      986*T1*T2^3 + 1606*T1^2*T2^3 - 7154*T1^3*T2^3 + 4304*T1^4*T2^3 + 
      4304*T1^5*T2^3 - 7154*T1^6*T2^3 + 1606*T1^7*T2^3 + 986*T1^8*T2^3 - 
      1008*T1^9*T2^3 + 784*T2^4 + 986*T1*T2^4 - 3857*T1^2*T2^4 + 
      4304*T1^3*T2^4 + 9675*T1^4*T2^4 - 18683*T1^5*T2^4 + 9675*T1^6*T2^4 + 
      4304*T1^7*T2^4 - 3857*T1^8*T2^4 + 986*T1^9*T2^4 + 784*T1^10*T2^4 - 
      348*T2^5 - 1914*T1*T2^5 + 1606*T1^2*T2^5 + 4304*T1^3*T2^5 - 
      18683*T1^4*T2^5 + 11212*T1^5*T2^5 + 11212*T1^6*T2^5 - 18683*T1^7*T2^5 + 
      4304*T1^8*T2^5 + 1606*T1^9*T2^5 - 1914*T1^10*T2^5 - 348*T1^11*T2^5 + 
      80*T2^6 + 1174*T1*T2^6 + 1899*T1^2*T2^6 - 7154*T1^3*T2^6 + 
      9675*T1^4*T2^6 + 11212*T1^5*T2^6 - 25044*T1^6*T2^6 + 11212*T1^7*T2^6 + 
      9675*T1^8*T2^6 - 7154*T1^9*T2^6 + 1899*T1^10*T2^6 + 1174*T1^11*T2^6 + 
      80*T1^12*T2^6 - 348*T1*T2^7 - 1914*T1^2*T2^7 + 1606*T1^3*T2^7 + 
      4304*T1^4*T2^7 - 18683*T1^5*T2^7 + 11212*T1^6*T2^7 + 11212*T1^7*T2^7 - 
      18683*T1^8*T2^7 + 4304*T1^9*T2^7 + 1606*T1^10*T2^7 - 1914*T1^11*T2^7 - 
      348*T1^12*T2^7 + 784*T1^2*T2^8 + 986*T1^3*T2^8 - 3857*T1^4*T2^8 + 
      4304*T1^5*T2^8 + 9675*T1^6*T2^8 - 18683*T1^7*T2^8 + 9675*T1^8*T2^8 + 
      4304*T1^9*T2^8 - 3857*T1^10*T2^8 + 986*T1^11*T2^8 + 784*T1^12*T2^8 - 
      1008*T1^3*T2^9 + 986*T1^4*T2^9 + 1606*T1^5*T2^9 - 7154*T1^6*T2^9 + 
      4304*T1^7*T2^9 + 4304*T1^8*T2^9 - 7154*T1^9*T2^9 + 1606*T1^10*T2^9 + 
      986*T1^11*T2^9 - 1008*T1^12*T2^9 + 784*T1^4*T2^10 - 1914*T1^5*T2^10 + 
      1899*T1^6*T2^10 + 1606*T1^7*T2^10 - 3857*T1^8*T2^10 + 1606*T1^9*T2^10 + 
      1899*T1^10*T2^10 - 1914*T1^11*T2^10 + 784*T1^12*T2^10 - 
      348*T1^5*T2^11 + 1174*T1^6*T2^11 - 1914*T1^7*T2^11 + 986*T1^8*T2^11 + 
      986*T1^9*T2^11 - 1914*T1^10*T2^11 + 1174*T1^11*T2^11 - 
      348*T1^12*T2^11 + 80*T1^6*T2^12 - 348*T1^7*T2^12 + 784*T1^8*T2^12 - 
      1008*T1^9*T2^12 + 784*T1^10*T2^12 - 348*T1^11*T2^12 + 80*T1^12*T2^12)/
     (T1^6*T2^6))}, 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, (111 - 362*T1 + 714*T1^2 - 1027*T1^3 + 1167*T1^4 - 1027*T1^5 + 
     714*T1^6 - 362*T1^7 + 111*T1^8 - 362*T2 + 828*T1*T2 - 1170*T1^2*T2 + 
     1046*T1^3*T2 - 467*T1^4*T2 - 467*T1^5*T2 + 1046*T1^6*T2 - 1170*T1^7*T2 + 
     828*T1^8*T2 - 362*T1^9*T2 + 714*T2^2 - 1170*T1*T2^2 + 1419*T1^2*T2^2 - 
     1146*T1^3*T2^2 + 792*T1^4*T2^2 - 345*T1^5*T2^2 + 792*T1^6*T2^2 - 
     1146*T1^7*T2^2 + 1419*T1^8*T2^2 - 1170*T1^9*T2^2 + 714*T1^10*T2^2 - 
     1027*T2^3 + 1046*T1*T2^3 - 1146*T1^2*T2^3 + 660*T1^3*T2^3 - 
     392*T1^4*T2^3 - 226*T1^5*T2^3 - 226*T1^6*T2^3 - 392*T1^7*T2^3 + 
     660*T1^8*T2^3 - 1146*T1^9*T2^3 + 1046*T1^10*T2^3 - 1027*T1^11*T2^3 + 
     1167*T2^4 - 467*T1*T2^4 + 792*T1^2*T2^4 - 392*T1^3*T2^4 + 
     681*T1^4*T2^4 - 324*T1^5*T2^4 + 1341*T1^6*T2^4 - 324*T1^7*T2^4 + 
     681*T1^8*T2^4 - 392*T1^9*T2^4 + 792*T1^10*T2^4 - 467*T1^11*T2^4 + 
     1167*T1^12*T2^4 - 1027*T2^5 - 467*T1*T2^5 - 345*T1^2*T2^5 - 
     226*T1^3*T2^5 - 324*T1^4*T2^5 - 226*T1^5*T2^5 - 849*T1^6*T2^5 - 
     849*T1^7*T2^5 - 226*T1^8*T2^5 - 324*T1^9*T2^5 - 226*T1^10*T2^5 - 
     345*T1^11*T2^5 - 467*T1^12*T2^5 - 1027*T1^13*T2^5 + 714*T2^6 + 
     1046*T1*T2^6 + 792*T1^2*T2^6 - 226*T1^3*T2^6 + 1341*T1^4*T2^6 - 
     849*T1^5*T2^6 + 2072*T1^6*T2^6 - 134*T1^7*T2^6 + 2072*T1^8*T2^6 - 
     849*T1^9*T2^6 + 1341*T1^10*T2^6 - 226*T1^11*T2^6 + 792*T1^12*T2^6 + 
     1046*T1^13*T2^6 + 714*T1^14*T2^6 - 362*T2^7 - 1170*T1*T2^7 - 
     1146*T1^2*T2^7 - 392*T1^3*T2^7 - 324*T1^4*T2^7 - 849*T1^5*T2^7 - 
     134*T1^6*T2^7 - 1468*T1^7*T2^7 - 1468*T1^8*T2^7 - 134*T1^9*T2^7 - 
     849*T1^10*T2^7 - 324*T1^11*T2^7 - 392*T1^12*T2^7 - 1146*T1^13*T2^7 - 
     1170*T1^14*T2^7 - 362*T1^15*T2^7 + 111*T2^8 + 828*T1*T2^8 + 
     1419*T1^2*T2^8 + 660*T1^3*T2^8 + 681*T1^4*T2^8 - 226*T1^5*T2^8 + 
     2072*T1^6*T2^8 - 1468*T1^7*T2^8 + 4296*T1^8*T2^8 - 1468*T1^9*T2^8 + 
     2072*T1^10*T2^8 - 226*T1^11*T2^8 + 681*T1^12*T2^8 + 660*T1^13*T2^8 + 
     1419*T1^14*T2^8 + 828*T1^15*T2^8 + 111*T1^16*T2^8 - 362*T1*T2^9 - 
     1170*T1^2*T2^9 - 1146*T1^3*T2^9 - 392*T1^4*T2^9 - 324*T1^5*T2^9 - 
     849*T1^6*T2^9 - 134*T1^7*T2^9 - 1468*T1^8*T2^9 - 1468*T1^9*T2^9 - 
     134*T1^10*T2^9 - 849*T1^11*T2^9 - 324*T1^12*T2^9 - 392*T1^13*T2^9 - 
     1146*T1^14*T2^9 - 1170*T1^15*T2^9 - 362*T1^16*T2^9 + 714*T1^2*T2^10 + 
     1046*T1^3*T2^10 + 792*T1^4*T2^10 - 226*T1^5*T2^10 + 1341*T1^6*T2^10 - 
     849*T1^7*T2^10 + 2072*T1^8*T2^10 - 134*T1^9*T2^10 + 2072*T1^10*T2^10 - 
     849*T1^11*T2^10 + 1341*T1^12*T2^10 - 226*T1^13*T2^10 + 792*T1^14*T2^10 + 
     1046*T1^15*T2^10 + 714*T1^16*T2^10 - 1027*T1^3*T2^11 - 467*T1^4*T2^11 - 
     345*T1^5*T2^11 - 226*T1^6*T2^11 - 324*T1^7*T2^11 - 226*T1^8*T2^11 - 
     849*T1^9*T2^11 - 849*T1^10*T2^11 - 226*T1^11*T2^11 - 324*T1^12*T2^11 - 
     226*T1^13*T2^11 - 345*T1^14*T2^11 - 467*T1^15*T2^11 - 1027*T1^16*T2^11 + 
     1167*T1^4*T2^12 - 467*T1^5*T2^12 + 792*T1^6*T2^12 - 392*T1^7*T2^12 + 
     681*T1^8*T2^12 - 324*T1^9*T2^12 + 1341*T1^10*T2^12 - 324*T1^11*T2^12 + 
     681*T1^12*T2^12 - 392*T1^13*T2^12 + 792*T1^14*T2^12 - 467*T1^15*T2^12 + 
     1167*T1^16*T2^12 - 1027*T1^5*T2^13 + 1046*T1^6*T2^13 - 1146*T1^7*T2^13 + 
     660*T1^8*T2^13 - 392*T1^9*T2^13 - 226*T1^10*T2^13 - 226*T1^11*T2^13 - 
     392*T1^12*T2^13 + 660*T1^13*T2^13 - 1146*T1^14*T2^13 + 
     1046*T1^15*T2^13 - 1027*T1^16*T2^13 + 714*T1^6*T2^14 - 1170*T1^7*T2^14 + 
     1419*T1^8*T2^14 - 1146*T1^9*T2^14 + 792*T1^10*T2^14 - 345*T1^11*T2^14 + 
     792*T1^12*T2^14 - 1146*T1^13*T2^14 + 1419*T1^14*T2^14 - 
     1170*T1^15*T2^14 + 714*T1^16*T2^14 - 362*T1^7*T2^15 + 828*T1^8*T2^15 - 
     1170*T1^9*T2^15 + 1046*T1^10*T2^15 - 467*T1^11*T2^15 - 467*T1^12*T2^15 + 
     1046*T1^13*T2^15 - 1170*T1^14*T2^15 + 828*T1^15*T2^15 - 
     362*T1^16*T2^15 + 111*T1^8*T2^16 - 362*T1^9*T2^16 + 714*T1^10*T2^16 - 
     1027*T1^11*T2^16 + 1167*T1^12*T2^16 - 1027*T1^13*T2^16 + 
     714*T1^14*T2^16 - 362*T1^15*T2^16 + 111*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 277] -> 
  {(5 - 17*T + 31*T^2 - 37*T^3 + 31*T^4 - 17*T^5 + 5*T^6)/T^3, 
   (415 - 1381*T1 + 2497*T1^2 - 2971*T1^3 + 2497*T1^4 - 1381*T1^5 + 
     415*T1^6 - 1381*T2 + 3238*T1*T2 - 3752*T1^2*T2 + 1598*T1^3*T2 + 
     1598*T1^4*T2 - 3752*T1^5*T2 + 3238*T1^6*T2 - 1381*T1^7*T2 + 2497*T2^2 - 
     3752*T1*T2^2 + 2002*T1^2*T2^2 + 2174*T1^3*T2^2 - 3842*T1^4*T2^2 + 
     2174*T1^5*T2^2 + 2002*T1^6*T2^2 - 3752*T1^7*T2^2 + 2497*T1^8*T2^2 - 
     2971*T2^3 + 1598*T1*T2^3 + 2174*T1^2*T2^3 - 5296*T1^3*T2^3 + 
     2217*T1^4*T2^3 + 2217*T1^5*T2^3 - 5296*T1^6*T2^3 + 2174*T1^7*T2^3 + 
     1598*T1^8*T2^3 - 2971*T1^9*T2^3 + 2497*T2^4 + 1598*T1*T2^4 - 
     3842*T1^2*T2^4 + 2217*T1^3*T2^4 + 5088*T1^4*T2^4 - 7316*T1^5*T2^4 + 
     5088*T1^6*T2^4 + 2217*T1^7*T2^4 - 3842*T1^8*T2^4 + 1598*T1^9*T2^4 + 
     2497*T1^10*T2^4 - 1381*T2^5 - 3752*T1*T2^5 + 2174*T1^2*T2^5 + 
     2217*T1^3*T2^5 - 7316*T1^4*T2^5 + 2768*T1^5*T2^5 + 2768*T1^6*T2^5 - 
     7316*T1^7*T2^5 + 2217*T1^8*T2^5 + 2174*T1^9*T2^5 - 3752*T1^10*T2^5 - 
     1381*T1^11*T2^5 + 415*T2^6 + 3238*T1*T2^6 + 2002*T1^2*T2^6 - 
     5296*T1^3*T2^6 + 5088*T1^4*T2^6 + 2768*T1^5*T2^6 - 4752*T1^6*T2^6 + 
     2768*T1^7*T2^6 + 5088*T1^8*T2^6 - 5296*T1^9*T2^6 + 2002*T1^10*T2^6 + 
     3238*T1^11*T2^6 + 415*T1^12*T2^6 - 1381*T1*T2^7 - 3752*T1^2*T2^7 + 
     2174*T1^3*T2^7 + 2217*T1^4*T2^7 - 7316*T1^5*T2^7 + 2768*T1^6*T2^7 + 
     2768*T1^7*T2^7 - 7316*T1^8*T2^7 + 2217*T1^9*T2^7 + 2174*T1^10*T2^7 - 
     3752*T1^11*T2^7 - 1381*T1^12*T2^7 + 2497*T1^2*T2^8 + 1598*T1^3*T2^8 - 
     3842*T1^4*T2^8 + 2217*T1^5*T2^8 + 5088*T1^6*T2^8 - 7316*T1^7*T2^8 + 
     5088*T1^8*T2^8 + 2217*T1^9*T2^8 - 3842*T1^10*T2^8 + 1598*T1^11*T2^8 + 
     2497*T1^12*T2^8 - 2971*T1^3*T2^9 + 1598*T1^4*T2^9 + 2174*T1^5*T2^9 - 
     5296*T1^6*T2^9 + 2217*T1^7*T2^9 + 2217*T1^8*T2^9 - 5296*T1^9*T2^9 + 
     2174*T1^10*T2^9 + 1598*T1^11*T2^9 - 2971*T1^12*T2^9 + 2497*T1^4*T2^10 - 
     3752*T1^5*T2^10 + 2002*T1^6*T2^10 + 2174*T1^7*T2^10 - 3842*T1^8*T2^10 + 
     2174*T1^9*T2^10 + 2002*T1^10*T2^10 - 3752*T1^11*T2^10 + 
     2497*T1^12*T2^10 - 1381*T1^5*T2^11 + 3238*T1^6*T2^11 - 3752*T1^7*T2^11 + 
     1598*T1^8*T2^11 + 1598*T1^9*T2^11 - 3752*T1^10*T2^11 + 
     3238*T1^11*T2^11 - 1381*T1^12*T2^11 + 415*T1^6*T2^12 - 1381*T1^7*T2^12 + 
     2497*T1^8*T2^12 - 2971*T1^9*T2^12 + 2497*T1^10*T2^12 - 
     1381*T1^11*T2^12 + 415*T1^12*T2^12)/(T1^6*T2^6)}, 
 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), (1 - 7*T1 + 18*T1^2 - 28*T1^3 + 31*T1^4 - 28*T1^5 + 18*T1^6 - 
     7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 77*T1^2*T2 + 70*T1^3*T2 - 21*T1^4*T2 - 
     21*T1^5*T2 + 70*T1^6*T2 - 77*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 
     18*T2^2 - 77*T1*T2^2 + 4*T1^2*T2^2 + 239*T1^3*T2^2 - 475*T1^4*T2^2 + 
     498*T1^5*T2^2 - 475*T1^6*T2^2 + 239*T1^7*T2^2 + 4*T1^8*T2^2 - 
     77*T1^9*T2^2 + 18*T1^10*T2^2 - 28*T2^3 + 70*T1*T2^3 + 239*T1^2*T2^3 - 
     622*T1^3*T2^3 + 622*T1^4*T2^3 - 132*T1^5*T2^3 - 132*T1^6*T2^3 + 
     622*T1^7*T2^3 - 622*T1^8*T2^3 + 239*T1^9*T2^3 + 70*T1^10*T2^3 - 
     28*T1^11*T2^3 + 31*T2^4 - 21*T1*T2^4 - 475*T1^2*T2^4 + 622*T1^3*T2^4 - 
     80*T1^4*T2^4 - 766*T1^5*T2^4 + 668*T1^6*T2^4 - 766*T1^7*T2^4 - 
     80*T1^8*T2^4 + 622*T1^9*T2^4 - 475*T1^10*T2^4 - 21*T1^11*T2^4 + 
     31*T1^12*T2^4 - 28*T2^5 - 21*T1*T2^5 + 498*T1^2*T2^5 - 132*T1^3*T2^5 - 
     766*T1^4*T2^5 + 1314*T1^5*T2^5 - 257*T1^6*T2^5 - 257*T1^7*T2^5 + 
     1314*T1^8*T2^5 - 766*T1^9*T2^5 - 132*T1^10*T2^5 + 498*T1^11*T2^5 - 
     21*T1^12*T2^5 - 28*T1^13*T2^5 + 18*T2^6 + 70*T1*T2^6 - 475*T1^2*T2^6 - 
     132*T1^3*T2^6 + 668*T1^4*T2^6 - 257*T1^5*T2^6 - 1636*T1^6*T2^6 + 
     1876*T1^7*T2^6 - 1636*T1^8*T2^6 - 257*T1^9*T2^6 + 668*T1^10*T2^6 - 
     132*T1^11*T2^6 - 475*T1^12*T2^6 + 70*T1^13*T2^6 + 18*T1^14*T2^6 - 
     7*T2^7 - 77*T1*T2^7 + 239*T1^2*T2^7 + 622*T1^3*T2^7 - 766*T1^4*T2^7 - 
     257*T1^5*T2^7 + 1876*T1^6*T2^7 - 726*T1^7*T2^7 - 726*T1^8*T2^7 + 
     1876*T1^9*T2^7 - 257*T1^10*T2^7 - 766*T1^11*T2^7 + 622*T1^12*T2^7 + 
     239*T1^13*T2^7 - 77*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 
     4*T1^2*T2^8 - 622*T1^3*T2^8 - 80*T1^4*T2^8 + 1314*T1^5*T2^8 - 
     1636*T1^6*T2^8 - 726*T1^7*T2^8 + 1548*T1^8*T2^8 - 726*T1^9*T2^8 - 
     1636*T1^10*T2^8 + 1314*T1^11*T2^8 - 80*T1^12*T2^8 - 622*T1^13*T2^8 + 
     4*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 77*T1^2*T2^9 + 
     239*T1^3*T2^9 + 622*T1^4*T2^9 - 766*T1^5*T2^9 - 257*T1^6*T2^9 + 
     1876*T1^7*T2^9 - 726*T1^8*T2^9 - 726*T1^9*T2^9 + 1876*T1^10*T2^9 - 
     257*T1^11*T2^9 - 766*T1^12*T2^9 + 622*T1^13*T2^9 + 239*T1^14*T2^9 - 
     77*T1^15*T2^9 - 7*T1^16*T2^9 + 18*T1^2*T2^10 + 70*T1^3*T2^10 - 
     475*T1^4*T2^10 - 132*T1^5*T2^10 + 668*T1^6*T2^10 - 257*T1^7*T2^10 - 
     1636*T1^8*T2^10 + 1876*T1^9*T2^10 - 1636*T1^10*T2^10 - 257*T1^11*T2^10 + 
     668*T1^12*T2^10 - 132*T1^13*T2^10 - 475*T1^14*T2^10 + 70*T1^15*T2^10 + 
     18*T1^16*T2^10 - 28*T1^3*T2^11 - 21*T1^4*T2^11 + 498*T1^5*T2^11 - 
     132*T1^6*T2^11 - 766*T1^7*T2^11 + 1314*T1^8*T2^11 - 257*T1^9*T2^11 - 
     257*T1^10*T2^11 + 1314*T1^11*T2^11 - 766*T1^12*T2^11 - 132*T1^13*T2^11 + 
     498*T1^14*T2^11 - 21*T1^15*T2^11 - 28*T1^16*T2^11 + 31*T1^4*T2^12 - 
     21*T1^5*T2^12 - 475*T1^6*T2^12 + 622*T1^7*T2^12 - 80*T1^8*T2^12 - 
     766*T1^9*T2^12 + 668*T1^10*T2^12 - 766*T1^11*T2^12 - 80*T1^12*T2^12 + 
     622*T1^13*T2^12 - 475*T1^14*T2^12 - 21*T1^15*T2^12 + 31*T1^16*T2^12 - 
     28*T1^5*T2^13 + 70*T1^6*T2^13 + 239*T1^7*T2^13 - 622*T1^8*T2^13 + 
     622*T1^9*T2^13 - 132*T1^10*T2^13 - 132*T1^11*T2^13 + 622*T1^12*T2^13 - 
     622*T1^13*T2^13 + 239*T1^14*T2^13 + 70*T1^15*T2^13 - 28*T1^16*T2^13 + 
     18*T1^6*T2^14 - 77*T1^7*T2^14 + 4*T1^8*T2^14 + 239*T1^9*T2^14 - 
     475*T1^10*T2^14 + 498*T1^11*T2^14 - 475*T1^12*T2^14 + 239*T1^13*T2^14 + 
     4*T1^14*T2^14 - 77*T1^15*T2^14 + 18*T1^16*T2^14 - 7*T1^7*T2^15 + 
     42*T1^8*T2^15 - 77*T1^9*T2^15 + 70*T1^10*T2^15 - 21*T1^11*T2^15 - 
     21*T1^12*T2^15 + 70*T1^13*T2^15 - 77*T1^14*T2^15 + 42*T1^15*T2^15 - 
     7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 18*T1^10*T2^16 - 
     28*T1^11*T2^16 + 31*T1^12*T2^16 - 28*T1^13*T2^16 + 18*T1^14*T2^16 - 
     7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 279] -> 
  {-(((-2 + 5*T - 5*T^2 + T^3)*(-1 + 5*T - 5*T^2 + 2*T^3))/T^3), 
   (1 - 7*T1 + 18*T1^2 - 25*T1^3 + 18*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
     42*T1*T2 - 77*T1^2*T2 + 49*T1^3*T2 + 49*T1^4*T2 - 77*T1^5*T2 + 
     42*T1^6*T2 - 7*T1^7*T2 + 18*T2^2 - 77*T1*T2^2 + 31*T1^2*T2^2 + 
     206*T1^3*T2^2 - 443*T1^4*T2^2 + 206*T1^5*T2^2 + 31*T1^6*T2^2 - 
     77*T1^7*T2^2 + 18*T1^8*T2^2 - 25*T2^3 + 49*T1*T2^3 + 206*T1^2*T2^3 - 
     550*T1^3*T2^3 + 491*T1^4*T2^3 + 491*T1^5*T2^3 - 550*T1^6*T2^3 + 
     206*T1^7*T2^3 + 49*T1^8*T2^3 - 25*T1^9*T2^3 + 18*T2^4 + 49*T1*T2^4 - 
     443*T1^2*T2^4 + 491*T1^3*T2^4 + 27*T1^4*T2^4 - 1203*T1^5*T2^4 + 
     27*T1^6*T2^4 + 491*T1^7*T2^4 - 443*T1^8*T2^4 + 49*T1^9*T2^4 + 
     18*T1^10*T2^4 - 7*T2^5 - 77*T1*T2^5 + 206*T1^2*T2^5 + 491*T1^3*T2^5 - 
     1203*T1^4*T2^5 + 1426*T1^5*T2^5 + 1426*T1^6*T2^5 - 1203*T1^7*T2^5 + 
     491*T1^8*T2^5 + 206*T1^9*T2^5 - 77*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
     42*T1*T2^6 + 31*T1^2*T2^6 - 550*T1^3*T2^6 + 27*T1^4*T2^6 + 
     1426*T1^5*T2^6 - 3996*T1^6*T2^6 + 1426*T1^7*T2^6 + 27*T1^8*T2^6 - 
     550*T1^9*T2^6 + 31*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 7*T1*T2^7 - 
     77*T1^2*T2^7 + 206*T1^3*T2^7 + 491*T1^4*T2^7 - 1203*T1^5*T2^7 + 
     1426*T1^6*T2^7 + 1426*T1^7*T2^7 - 1203*T1^8*T2^7 + 491*T1^9*T2^7 + 
     206*T1^10*T2^7 - 77*T1^11*T2^7 - 7*T1^12*T2^7 + 18*T1^2*T2^8 + 
     49*T1^3*T2^8 - 443*T1^4*T2^8 + 491*T1^5*T2^8 + 27*T1^6*T2^8 - 
     1203*T1^7*T2^8 + 27*T1^8*T2^8 + 491*T1^9*T2^8 - 443*T1^10*T2^8 + 
     49*T1^11*T2^8 + 18*T1^12*T2^8 - 25*T1^3*T2^9 + 49*T1^4*T2^9 + 
     206*T1^5*T2^9 - 550*T1^6*T2^9 + 491*T1^7*T2^9 + 491*T1^8*T2^9 - 
     550*T1^9*T2^9 + 206*T1^10*T2^9 + 49*T1^11*T2^9 - 25*T1^12*T2^9 + 
     18*T1^4*T2^10 - 77*T1^5*T2^10 + 31*T1^6*T2^10 + 206*T1^7*T2^10 - 
     443*T1^8*T2^10 + 206*T1^9*T2^10 + 31*T1^10*T2^10 - 77*T1^11*T2^10 + 
     18*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 77*T1^7*T2^11 + 
     49*T1^8*T2^11 + 49*T1^9*T2^11 - 77*T1^10*T2^11 + 42*T1^11*T2^11 - 
     7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 18*T1^8*T2^12 - 
     25*T1^9*T2^12 + 18*T1^10*T2^12 - 7*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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), 
   -((1 - 7*T1 + 22*T1^2 - 42*T1^3 + 51*T1^4 - 42*T1^5 + 22*T1^6 - 7*T1^7 + 
      T1^8 - 7*T2 + 42*T1*T2 - 105*T1^2*T2 + 140*T1^3*T2 - 63*T1^4*T2 - 
      63*T1^5*T2 + 140*T1^6*T2 - 105*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 
      22*T2^2 - 105*T1*T2^2 + 162*T1^2*T2^2 + 3*T1^3*T2^2 - 458*T1^4*T2^2 + 
      660*T1^5*T2^2 - 458*T1^6*T2^2 + 3*T1^7*T2^2 + 162*T1^8*T2^2 - 
      105*T1^9*T2^2 + 22*T1^10*T2^2 - 42*T2^3 + 140*T1*T2^3 + 3*T1^2*T2^3 - 
      586*T1^3*T2^3 + 1229*T1^4*T2^3 - 551*T1^5*T2^3 - 551*T1^6*T2^3 + 
      1229*T1^7*T2^3 - 586*T1^8*T2^3 + 3*T1^9*T2^3 + 140*T1^10*T2^3 - 
      42*T1^11*T2^3 + 51*T2^4 - 63*T1*T2^4 - 458*T1^2*T2^4 + 1229*T1^3*T2^4 - 
      1178*T1^4*T2^4 - 1173*T1^5*T2^4 + 2024*T1^6*T2^4 - 1173*T1^7*T2^4 - 
      1178*T1^8*T2^4 + 1229*T1^9*T2^4 - 458*T1^10*T2^4 - 63*T1^11*T2^4 + 
      51*T1^12*T2^4 - 42*T2^5 - 63*T1*T2^5 + 660*T1^2*T2^5 - 551*T1^3*T2^5 - 
      1173*T1^4*T2^5 + 4200*T1^5*T2^5 - 1716*T1^6*T2^5 - 1716*T1^7*T2^5 + 
      4200*T1^8*T2^5 - 1173*T1^9*T2^5 - 551*T1^10*T2^5 + 660*T1^11*T2^5 - 
      63*T1^12*T2^5 - 42*T1^13*T2^5 + 22*T2^6 + 140*T1*T2^6 - 458*T1^2*T2^6 - 
      551*T1^3*T2^6 + 2024*T1^4*T2^6 - 1716*T1^5*T2^6 - 5809*T1^6*T2^6 + 
      8063*T1^7*T2^6 - 5809*T1^8*T2^6 - 1716*T1^9*T2^6 + 2024*T1^10*T2^6 - 
      551*T1^11*T2^6 - 458*T1^12*T2^6 + 140*T1^13*T2^6 + 22*T1^14*T2^6 - 
      7*T2^7 - 105*T1*T2^7 + 3*T1^2*T2^7 + 1229*T1^3*T2^7 - 1173*T1^4*T2^7 - 
      1716*T1^5*T2^7 + 8063*T1^6*T2^7 - 3064*T1^7*T2^7 - 3064*T1^8*T2^7 + 
      8063*T1^9*T2^7 - 1716*T1^10*T2^7 - 1173*T1^11*T2^7 + 1229*T1^12*T2^7 + 
      3*T1^13*T2^7 - 105*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 
      162*T1^2*T2^8 - 586*T1^3*T2^8 - 1178*T1^4*T2^8 + 4200*T1^5*T2^8 - 
      5809*T1^6*T2^8 - 3064*T1^7*T2^8 + 5256*T1^8*T2^8 - 3064*T1^9*T2^8 - 
      5809*T1^10*T2^8 + 4200*T1^11*T2^8 - 1178*T1^12*T2^8 - 586*T1^13*T2^8 + 
      162*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 
      105*T1^2*T2^9 + 3*T1^3*T2^9 + 1229*T1^4*T2^9 - 1173*T1^5*T2^9 - 
      1716*T1^6*T2^9 + 8063*T1^7*T2^9 - 3064*T1^8*T2^9 - 3064*T1^9*T2^9 + 
      8063*T1^10*T2^9 - 1716*T1^11*T2^9 - 1173*T1^12*T2^9 + 1229*T1^13*T2^9 + 
      3*T1^14*T2^9 - 105*T1^15*T2^9 - 7*T1^16*T2^9 + 22*T1^2*T2^10 + 
      140*T1^3*T2^10 - 458*T1^4*T2^10 - 551*T1^5*T2^10 + 2024*T1^6*T2^10 - 
      1716*T1^7*T2^10 - 5809*T1^8*T2^10 + 8063*T1^9*T2^10 - 
      5809*T1^10*T2^10 - 1716*T1^11*T2^10 + 2024*T1^12*T2^10 - 
      551*T1^13*T2^10 - 458*T1^14*T2^10 + 140*T1^15*T2^10 + 22*T1^16*T2^10 - 
      42*T1^3*T2^11 - 63*T1^4*T2^11 + 660*T1^5*T2^11 - 551*T1^6*T2^11 - 
      1173*T1^7*T2^11 + 4200*T1^8*T2^11 - 1716*T1^9*T2^11 - 
      1716*T1^10*T2^11 + 4200*T1^11*T2^11 - 1173*T1^12*T2^11 - 
      551*T1^13*T2^11 + 660*T1^14*T2^11 - 63*T1^15*T2^11 - 42*T1^16*T2^11 + 
      51*T1^4*T2^12 - 63*T1^5*T2^12 - 458*T1^6*T2^12 + 1229*T1^7*T2^12 - 
      1178*T1^8*T2^12 - 1173*T1^9*T2^12 + 2024*T1^10*T2^12 - 
      1173*T1^11*T2^12 - 1178*T1^12*T2^12 + 1229*T1^13*T2^12 - 
      458*T1^14*T2^12 - 63*T1^15*T2^12 + 51*T1^16*T2^12 - 42*T1^5*T2^13 + 
      140*T1^6*T2^13 + 3*T1^7*T2^13 - 586*T1^8*T2^13 + 1229*T1^9*T2^13 - 
      551*T1^10*T2^13 - 551*T1^11*T2^13 + 1229*T1^12*T2^13 - 
      586*T1^13*T2^13 + 3*T1^14*T2^13 + 140*T1^15*T2^13 - 42*T1^16*T2^13 + 
      22*T1^6*T2^14 - 105*T1^7*T2^14 + 162*T1^8*T2^14 + 3*T1^9*T2^14 - 
      458*T1^10*T2^14 + 660*T1^11*T2^14 - 458*T1^12*T2^14 + 3*T1^13*T2^14 + 
      162*T1^14*T2^14 - 105*T1^15*T2^14 + 22*T1^16*T2^14 - 7*T1^7*T2^15 + 
      42*T1^8*T2^15 - 105*T1^9*T2^15 + 140*T1^10*T2^15 - 63*T1^11*T2^15 - 
      63*T1^12*T2^15 + 140*T1^13*T2^15 - 105*T1^14*T2^15 + 42*T1^15*T2^15 - 
      7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 22*T1^10*T2^16 - 
      42*T1^11*T2^16 + 51*T1^12*T2^16 - 42*T1^13*T2^16 + 22*T1^14*T2^16 - 
      7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   (2 - 14*T1 + 48*T1^2 - 92*T1^3 + 114*T1^4 - 92*T1^5 + 48*T1^6 - 14*T1^7 + 
     2*T1^8 - 14*T2 + 84*T1*T2 - 238*T1^2*T2 + 308*T1^3*T2 - 154*T1^4*T2 - 
     154*T1^5*T2 + 308*T1^6*T2 - 238*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
     48*T2^2 - 238*T1*T2^2 + 513*T1^2*T2^2 - 185*T1^3*T2^2 - 642*T1^4*T2^2 + 
     1199*T1^5*T2^2 - 642*T1^6*T2^2 - 185*T1^7*T2^2 + 513*T1^8*T2^2 - 
     238*T1^9*T2^2 + 48*T1^10*T2^2 - 92*T2^3 + 308*T1*T2^3 - 185*T1^2*T2^3 - 
     1592*T1^3*T2^3 + 2845*T1^4*T2^3 - 1693*T1^5*T2^3 - 1693*T1^6*T2^3 + 
     2845*T1^7*T2^3 - 1592*T1^8*T2^3 - 185*T1^9*T2^3 + 308*T1^10*T2^3 - 
     92*T1^11*T2^3 + 114*T2^4 - 154*T1*T2^4 - 642*T1^2*T2^4 + 
     2845*T1^3*T2^4 - 87*T1^4*T2^4 - 6644*T1^5*T2^4 + 11589*T1^6*T2^4 - 
     6644*T1^7*T2^4 - 87*T1^8*T2^4 + 2845*T1^9*T2^4 - 642*T1^10*T2^4 - 
     154*T1^11*T2^4 + 114*T1^12*T2^4 - 92*T2^5 - 154*T1*T2^5 + 
     1199*T1^2*T2^5 - 1693*T1^3*T2^5 - 6644*T1^4*T2^5 + 12846*T1^5*T2^5 - 
     8198*T1^6*T2^5 - 8198*T1^7*T2^5 + 12846*T1^8*T2^5 - 6644*T1^9*T2^5 - 
     1693*T1^10*T2^5 + 1199*T1^11*T2^5 - 154*T1^12*T2^5 - 92*T1^13*T2^5 + 
     48*T2^6 + 308*T1*T2^6 - 642*T1^2*T2^6 - 1693*T1^3*T2^6 + 
     11589*T1^4*T2^6 - 8198*T1^5*T2^6 - 7063*T1^6*T2^6 + 20757*T1^7*T2^6 - 
     7063*T1^8*T2^6 - 8198*T1^9*T2^6 + 11589*T1^10*T2^6 - 1693*T1^11*T2^6 - 
     642*T1^12*T2^6 + 308*T1^13*T2^6 + 48*T1^14*T2^6 - 14*T2^7 - 
     238*T1*T2^7 - 185*T1^2*T2^7 + 2845*T1^3*T2^7 - 6644*T1^4*T2^7 - 
     8198*T1^5*T2^7 + 20757*T1^6*T2^7 - 14820*T1^7*T2^7 - 14820*T1^8*T2^7 + 
     20757*T1^9*T2^7 - 8198*T1^10*T2^7 - 6644*T1^11*T2^7 + 2845*T1^12*T2^7 - 
     185*T1^13*T2^7 - 238*T1^14*T2^7 - 14*T1^15*T2^7 + 2*T2^8 + 84*T1*T2^8 + 
     513*T1^2*T2^8 - 1592*T1^3*T2^8 - 87*T1^4*T2^8 + 12846*T1^5*T2^8 - 
     7063*T1^6*T2^8 - 14820*T1^7*T2^8 + 34656*T1^8*T2^8 - 14820*T1^9*T2^8 - 
     7063*T1^10*T2^8 + 12846*T1^11*T2^8 - 87*T1^12*T2^8 - 1592*T1^13*T2^8 + 
     513*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 14*T1*T2^9 - 
     238*T1^2*T2^9 - 185*T1^3*T2^9 + 2845*T1^4*T2^9 - 6644*T1^5*T2^9 - 
     8198*T1^6*T2^9 + 20757*T1^7*T2^9 - 14820*T1^8*T2^9 - 14820*T1^9*T2^9 + 
     20757*T1^10*T2^9 - 8198*T1^11*T2^9 - 6644*T1^12*T2^9 + 2845*T1^13*T2^9 - 
     185*T1^14*T2^9 - 238*T1^15*T2^9 - 14*T1^16*T2^9 + 48*T1^2*T2^10 + 
     308*T1^3*T2^10 - 642*T1^4*T2^10 - 1693*T1^5*T2^10 + 11589*T1^6*T2^10 - 
     8198*T1^7*T2^10 - 7063*T1^8*T2^10 + 20757*T1^9*T2^10 - 
     7063*T1^10*T2^10 - 8198*T1^11*T2^10 + 11589*T1^12*T2^10 - 
     1693*T1^13*T2^10 - 642*T1^14*T2^10 + 308*T1^15*T2^10 + 48*T1^16*T2^10 - 
     92*T1^3*T2^11 - 154*T1^4*T2^11 + 1199*T1^5*T2^11 - 1693*T1^6*T2^11 - 
     6644*T1^7*T2^11 + 12846*T1^8*T2^11 - 8198*T1^9*T2^11 - 
     8198*T1^10*T2^11 + 12846*T1^11*T2^11 - 6644*T1^12*T2^11 - 
     1693*T1^13*T2^11 + 1199*T1^14*T2^11 - 154*T1^15*T2^11 - 92*T1^16*T2^11 + 
     114*T1^4*T2^12 - 154*T1^5*T2^12 - 642*T1^6*T2^12 + 2845*T1^7*T2^12 - 
     87*T1^8*T2^12 - 6644*T1^9*T2^12 + 11589*T1^10*T2^12 - 6644*T1^11*T2^12 - 
     87*T1^12*T2^12 + 2845*T1^13*T2^12 - 642*T1^14*T2^12 - 154*T1^15*T2^12 + 
     114*T1^16*T2^12 - 92*T1^5*T2^13 + 308*T1^6*T2^13 - 185*T1^7*T2^13 - 
     1592*T1^8*T2^13 + 2845*T1^9*T2^13 - 1693*T1^10*T2^13 - 
     1693*T1^11*T2^13 + 2845*T1^12*T2^13 - 1592*T1^13*T2^13 - 
     185*T1^14*T2^13 + 308*T1^15*T2^13 - 92*T1^16*T2^13 + 48*T1^6*T2^14 - 
     238*T1^7*T2^14 + 513*T1^8*T2^14 - 185*T1^9*T2^14 - 642*T1^10*T2^14 + 
     1199*T1^11*T2^14 - 642*T1^12*T2^14 - 185*T1^13*T2^14 + 513*T1^14*T2^14 - 
     238*T1^15*T2^14 + 48*T1^16*T2^14 - 14*T1^7*T2^15 + 84*T1^8*T2^15 - 
     238*T1^9*T2^15 + 308*T1^10*T2^15 - 154*T1^11*T2^15 - 154*T1^12*T2^15 + 
     308*T1^13*T2^15 - 238*T1^14*T2^15 + 84*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)/(T1^8*T2^8)}, 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, 
   -((6 - 29*T1 + 65*T1^2 - 86*T1^3 + 65*T1^4 - 29*T1^5 + 6*T1^6 - 29*T2 + 
      114*T1*T2 - 183*T1^2*T2 + 107*T1^3*T2 + 107*T1^4*T2 - 183*T1^5*T2 + 
      114*T1^6*T2 - 29*T1^7*T2 + 65*T2^2 - 183*T1*T2^2 + 86*T1^2*T2^2 + 
      375*T1^3*T2^2 - 756*T1^4*T2^2 + 375*T1^5*T2^2 + 86*T1^6*T2^2 - 
      183*T1^7*T2^2 + 65*T1^8*T2^2 - 86*T2^3 + 107*T1*T2^3 + 375*T1^2*T2^3 - 
      1038*T1^3*T2^3 + 721*T1^4*T2^3 + 721*T1^5*T2^3 - 1038*T1^6*T2^3 + 
      375*T1^7*T2^3 + 107*T1^8*T2^3 - 86*T1^9*T2^3 + 65*T2^4 + 107*T1*T2^4 - 
      756*T1^2*T2^4 + 721*T1^3*T2^4 + 873*T1^4*T2^4 - 2263*T1^5*T2^4 + 
      873*T1^6*T2^4 + 721*T1^7*T2^4 - 756*T1^8*T2^4 + 107*T1^9*T2^4 + 
      65*T1^10*T2^4 - 29*T2^5 - 183*T1*T2^5 + 375*T1^2*T2^5 + 721*T1^3*T2^5 - 
      2263*T1^4*T2^5 + 1524*T1^5*T2^5 + 1524*T1^6*T2^5 - 2263*T1^7*T2^5 + 
      721*T1^8*T2^5 + 375*T1^9*T2^5 - 183*T1^10*T2^5 - 29*T1^11*T2^5 + 
      6*T2^6 + 114*T1*T2^6 + 86*T1^2*T2^6 - 1038*T1^3*T2^6 + 873*T1^4*T2^6 + 
      1524*T1^5*T2^6 - 3432*T1^6*T2^6 + 1524*T1^7*T2^6 + 873*T1^8*T2^6 - 
      1038*T1^9*T2^6 + 86*T1^10*T2^6 + 114*T1^11*T2^6 + 6*T1^12*T2^6 - 
      29*T1*T2^7 - 183*T1^2*T2^7 + 375*T1^3*T2^7 + 721*T1^4*T2^7 - 
      2263*T1^5*T2^7 + 1524*T1^6*T2^7 + 1524*T1^7*T2^7 - 2263*T1^8*T2^7 + 
      721*T1^9*T2^7 + 375*T1^10*T2^7 - 183*T1^11*T2^7 - 29*T1^12*T2^7 + 
      65*T1^2*T2^8 + 107*T1^3*T2^8 - 756*T1^4*T2^8 + 721*T1^5*T2^8 + 
      873*T1^6*T2^8 - 2263*T1^7*T2^8 + 873*T1^8*T2^8 + 721*T1^9*T2^8 - 
      756*T1^10*T2^8 + 107*T1^11*T2^8 + 65*T1^12*T2^8 - 86*T1^3*T2^9 + 
      107*T1^4*T2^9 + 375*T1^5*T2^9 - 1038*T1^6*T2^9 + 721*T1^7*T2^9 + 
      721*T1^8*T2^9 - 1038*T1^9*T2^9 + 375*T1^10*T2^9 + 107*T1^11*T2^9 - 
      86*T1^12*T2^9 + 65*T1^4*T2^10 - 183*T1^5*T2^10 + 86*T1^6*T2^10 + 
      375*T1^7*T2^10 - 756*T1^8*T2^10 + 375*T1^9*T2^10 + 86*T1^10*T2^10 - 
      183*T1^11*T2^10 + 65*T1^12*T2^10 - 29*T1^5*T2^11 + 114*T1^6*T2^11 - 
      183*T1^7*T2^11 + 107*T1^8*T2^11 + 107*T1^9*T2^11 - 183*T1^10*T2^11 + 
      114*T1^11*T2^11 - 29*T1^12*T2^11 + 6*T1^6*T2^12 - 29*T1^7*T2^12 + 
      65*T1^8*T2^12 - 86*T1^9*T2^12 + 65*T1^10*T2^12 - 29*T1^11*T2^12 + 
      6*T1^12*T2^12)/(T1^6*T2^6))}, 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), (1 - 8*T1 + 26*T1^2 - 48*T1^3 + 57*T1^4 - 48*T1^5 + 26*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 144*T1^2*T2 + 176*T1^3*T2 - 
     72*T1^4*T2 - 72*T1^5*T2 + 176*T1^6*T2 - 144*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 26*T2^2 - 144*T1*T2^2 + 194*T1^2*T2^2 + 193*T1^3*T2^2 - 
     889*T1^4*T2^2 + 1128*T1^5*T2^2 - 889*T1^6*T2^2 + 193*T1^7*T2^2 + 
     194*T1^8*T2^2 - 144*T1^9*T2^2 + 26*T1^10*T2^2 - 48*T2^3 + 176*T1*T2^3 + 
     193*T1^2*T2^3 - 1456*T1^3*T2^3 + 2212*T1^4*T2^3 - 845*T1^5*T2^3 - 
     845*T1^6*T2^3 + 2212*T1^7*T2^3 - 1456*T1^8*T2^3 + 193*T1^9*T2^3 + 
     176*T1^10*T2^3 - 48*T1^11*T2^3 + 57*T2^4 - 72*T1*T2^4 - 889*T1^2*T2^4 + 
     2212*T1^3*T2^4 - 640*T1^4*T2^4 - 3867*T1^5*T2^4 + 5110*T1^6*T2^4 - 
     3867*T1^7*T2^4 - 640*T1^8*T2^4 + 2212*T1^9*T2^4 - 889*T1^10*T2^4 - 
     72*T1^11*T2^4 + 57*T1^12*T2^4 - 48*T2^5 - 72*T1*T2^5 + 1128*T1^2*T2^5 - 
     845*T1^3*T2^5 - 3867*T1^4*T2^5 + 7930*T1^5*T2^5 - 2936*T1^6*T2^5 - 
     2936*T1^7*T2^5 + 7930*T1^8*T2^5 - 3867*T1^9*T2^5 - 845*T1^10*T2^5 + 
     1128*T1^11*T2^5 - 72*T1^12*T2^5 - 48*T1^13*T2^5 + 26*T2^6 + 
     176*T1*T2^6 - 889*T1^2*T2^6 - 845*T1^3*T2^6 + 5110*T1^4*T2^6 - 
     2936*T1^5*T2^6 - 8534*T1^6*T2^6 + 11816*T1^7*T2^6 - 8534*T1^8*T2^6 - 
     2936*T1^9*T2^6 + 5110*T1^10*T2^6 - 845*T1^11*T2^6 - 889*T1^12*T2^6 + 
     176*T1^13*T2^6 + 26*T1^14*T2^6 - 8*T2^7 - 144*T1*T2^7 + 193*T1^2*T2^7 + 
     2212*T1^3*T2^7 - 3867*T1^4*T2^7 - 2936*T1^5*T2^7 + 11816*T1^6*T2^7 - 
     4782*T1^7*T2^7 - 4782*T1^8*T2^7 + 11816*T1^9*T2^7 - 2936*T1^10*T2^7 - 
     3867*T1^11*T2^7 + 2212*T1^12*T2^7 + 193*T1^13*T2^7 - 144*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 194*T1^2*T2^8 - 1456*T1^3*T2^8 - 
     640*T1^4*T2^8 + 7930*T1^5*T2^8 - 8534*T1^6*T2^8 - 4782*T1^7*T2^8 + 
     9144*T1^8*T2^8 - 4782*T1^9*T2^8 - 8534*T1^10*T2^8 + 7930*T1^11*T2^8 - 
     640*T1^12*T2^8 - 1456*T1^13*T2^8 + 194*T1^14*T2^8 + 56*T1^15*T2^8 + 
     T1^16*T2^8 - 8*T1*T2^9 - 144*T1^2*T2^9 + 193*T1^3*T2^9 + 
     2212*T1^4*T2^9 - 3867*T1^5*T2^9 - 2936*T1^6*T2^9 + 11816*T1^7*T2^9 - 
     4782*T1^8*T2^9 - 4782*T1^9*T2^9 + 11816*T1^10*T2^9 - 2936*T1^11*T2^9 - 
     3867*T1^12*T2^9 + 2212*T1^13*T2^9 + 193*T1^14*T2^9 - 144*T1^15*T2^9 - 
     8*T1^16*T2^9 + 26*T1^2*T2^10 + 176*T1^3*T2^10 - 889*T1^4*T2^10 - 
     845*T1^5*T2^10 + 5110*T1^6*T2^10 - 2936*T1^7*T2^10 - 8534*T1^8*T2^10 + 
     11816*T1^9*T2^10 - 8534*T1^10*T2^10 - 2936*T1^11*T2^10 + 
     5110*T1^12*T2^10 - 845*T1^13*T2^10 - 889*T1^14*T2^10 + 176*T1^15*T2^10 + 
     26*T1^16*T2^10 - 48*T1^3*T2^11 - 72*T1^4*T2^11 + 1128*T1^5*T2^11 - 
     845*T1^6*T2^11 - 3867*T1^7*T2^11 + 7930*T1^8*T2^11 - 2936*T1^9*T2^11 - 
     2936*T1^10*T2^11 + 7930*T1^11*T2^11 - 3867*T1^12*T2^11 - 
     845*T1^13*T2^11 + 1128*T1^14*T2^11 - 72*T1^15*T2^11 - 48*T1^16*T2^11 + 
     57*T1^4*T2^12 - 72*T1^5*T2^12 - 889*T1^6*T2^12 + 2212*T1^7*T2^12 - 
     640*T1^8*T2^12 - 3867*T1^9*T2^12 + 5110*T1^10*T2^12 - 3867*T1^11*T2^12 - 
     640*T1^12*T2^12 + 2212*T1^13*T2^12 - 889*T1^14*T2^12 - 72*T1^15*T2^12 + 
     57*T1^16*T2^12 - 48*T1^5*T2^13 + 176*T1^6*T2^13 + 193*T1^7*T2^13 - 
     1456*T1^8*T2^13 + 2212*T1^9*T2^13 - 845*T1^10*T2^13 - 845*T1^11*T2^13 + 
     2212*T1^12*T2^13 - 1456*T1^13*T2^13 + 193*T1^14*T2^13 + 
     176*T1^15*T2^13 - 48*T1^16*T2^13 + 26*T1^6*T2^14 - 144*T1^7*T2^14 + 
     194*T1^8*T2^14 + 193*T1^9*T2^14 - 889*T1^10*T2^14 + 1128*T1^11*T2^14 - 
     889*T1^12*T2^14 + 193*T1^13*T2^14 + 194*T1^14*T2^14 - 144*T1^15*T2^14 + 
     26*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 144*T1^9*T2^15 + 
     176*T1^10*T2^15 - 72*T1^11*T2^15 - 72*T1^12*T2^15 + 176*T1^13*T2^15 - 
     144*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
     8*T1^9*T2^16 + 26*T1^10*T2^16 - 48*T1^11*T2^16 + 57*T1^12*T2^16 - 
     48*T1^13*T2^16 + 26*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, 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), -((1 - 8*T1 + 25*T1^2 - 43*T1^3 + 49*T1^4 - 43*T1^5 + 25*T1^6 - 
      8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 136*T1^2*T2 + 144*T1^3*T2 - 
      48*T1^4*T2 - 48*T1^5*T2 + 144*T1^6*T2 - 136*T1^7*T2 + 56*T1^8*T2 - 
      8*T1^9*T2 + 25*T2^2 - 136*T1*T2^2 + 137*T1^2*T2^2 + 331*T1^3*T2^2 - 
      916*T1^4*T2^2 + 1005*T1^5*T2^2 - 916*T1^6*T2^2 + 331*T1^7*T2^2 + 
      137*T1^8*T2^2 - 136*T1^9*T2^2 + 25*T1^10*T2^2 - 43*T2^3 + 144*T1*T2^3 + 
      331*T1^2*T2^3 - 1634*T1^3*T2^3 + 1920*T1^4*T2^3 - 485*T1^5*T2^3 - 
      485*T1^6*T2^3 + 1920*T1^7*T2^3 - 1634*T1^8*T2^3 + 331*T1^9*T2^3 + 
      144*T1^10*T2^3 - 43*T1^11*T2^3 + 49*T2^4 - 48*T1*T2^4 - 916*T1^2*T2^4 + 
      1920*T1^3*T2^4 + 508*T1^4*T2^4 - 4352*T1^5*T2^4 + 4420*T1^6*T2^4 - 
      4352*T1^7*T2^4 + 508*T1^8*T2^4 + 1920*T1^9*T2^4 - 916*T1^10*T2^4 - 
      48*T1^11*T2^4 + 49*T1^12*T2^4 - 43*T2^5 - 48*T1*T2^5 + 1005*T1^2*T2^5 - 
      485*T1^3*T2^5 - 4352*T1^4*T2^5 + 6634*T1^5*T2^5 - 1516*T1^6*T2^5 - 
      1516*T1^7*T2^5 + 6634*T1^8*T2^5 - 4352*T1^9*T2^5 - 485*T1^10*T2^5 + 
      1005*T1^11*T2^5 - 48*T1^12*T2^5 - 43*T1^13*T2^5 + 25*T2^6 + 
      144*T1*T2^6 - 916*T1^2*T2^6 - 485*T1^3*T2^6 + 4420*T1^4*T2^6 - 
      1516*T1^5*T2^6 - 7608*T1^6*T2^6 + 8444*T1^7*T2^6 - 7608*T1^8*T2^6 - 
      1516*T1^9*T2^6 + 4420*T1^10*T2^6 - 485*T1^11*T2^6 - 916*T1^12*T2^6 + 
      144*T1^13*T2^6 + 25*T1^14*T2^6 - 8*T2^7 - 136*T1*T2^7 + 331*T1^2*T2^7 + 
      1920*T1^3*T2^7 - 4352*T1^4*T2^7 - 1516*T1^5*T2^7 + 8444*T1^6*T2^7 - 
      2668*T1^7*T2^7 - 2668*T1^8*T2^7 + 8444*T1^9*T2^7 - 1516*T1^10*T2^7 - 
      4352*T1^11*T2^7 + 1920*T1^12*T2^7 + 331*T1^13*T2^7 - 136*T1^14*T2^7 - 
      8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 137*T1^2*T2^8 - 1634*T1^3*T2^8 + 
      508*T1^4*T2^8 + 6634*T1^5*T2^8 - 7608*T1^6*T2^8 - 2668*T1^7*T2^8 + 
      4944*T1^8*T2^8 - 2668*T1^9*T2^8 - 7608*T1^10*T2^8 + 6634*T1^11*T2^8 + 
      508*T1^12*T2^8 - 1634*T1^13*T2^8 + 137*T1^14*T2^8 + 56*T1^15*T2^8 + 
      T1^16*T2^8 - 8*T1*T2^9 - 136*T1^2*T2^9 + 331*T1^3*T2^9 + 
      1920*T1^4*T2^9 - 4352*T1^5*T2^9 - 1516*T1^6*T2^9 + 8444*T1^7*T2^9 - 
      2668*T1^8*T2^9 - 2668*T1^9*T2^9 + 8444*T1^10*T2^9 - 1516*T1^11*T2^9 - 
      4352*T1^12*T2^9 + 1920*T1^13*T2^9 + 331*T1^14*T2^9 - 136*T1^15*T2^9 - 
      8*T1^16*T2^9 + 25*T1^2*T2^10 + 144*T1^3*T2^10 - 916*T1^4*T2^10 - 
      485*T1^5*T2^10 + 4420*T1^6*T2^10 - 1516*T1^7*T2^10 - 7608*T1^8*T2^10 + 
      8444*T1^9*T2^10 - 7608*T1^10*T2^10 - 1516*T1^11*T2^10 + 
      4420*T1^12*T2^10 - 485*T1^13*T2^10 - 916*T1^14*T2^10 + 
      144*T1^15*T2^10 + 25*T1^16*T2^10 - 43*T1^3*T2^11 - 48*T1^4*T2^11 + 
      1005*T1^5*T2^11 - 485*T1^6*T2^11 - 4352*T1^7*T2^11 + 6634*T1^8*T2^11 - 
      1516*T1^9*T2^11 - 1516*T1^10*T2^11 + 6634*T1^11*T2^11 - 
      4352*T1^12*T2^11 - 485*T1^13*T2^11 + 1005*T1^14*T2^11 - 
      48*T1^15*T2^11 - 43*T1^16*T2^11 + 49*T1^4*T2^12 - 48*T1^5*T2^12 - 
      916*T1^6*T2^12 + 1920*T1^7*T2^12 + 508*T1^8*T2^12 - 4352*T1^9*T2^12 + 
      4420*T1^10*T2^12 - 4352*T1^11*T2^12 + 508*T1^12*T2^12 + 
      1920*T1^13*T2^12 - 916*T1^14*T2^12 - 48*T1^15*T2^12 + 49*T1^16*T2^12 - 
      43*T1^5*T2^13 + 144*T1^6*T2^13 + 331*T1^7*T2^13 - 1634*T1^8*T2^13 + 
      1920*T1^9*T2^13 - 485*T1^10*T2^13 - 485*T1^11*T2^13 + 
      1920*T1^12*T2^13 - 1634*T1^13*T2^13 + 331*T1^14*T2^13 + 
      144*T1^15*T2^13 - 43*T1^16*T2^13 + 25*T1^6*T2^14 - 136*T1^7*T2^14 + 
      137*T1^8*T2^14 + 331*T1^9*T2^14 - 916*T1^10*T2^14 + 1005*T1^11*T2^14 - 
      916*T1^12*T2^14 + 331*T1^13*T2^14 + 137*T1^14*T2^14 - 136*T1^15*T2^14 + 
      25*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 136*T1^9*T2^15 + 
      144*T1^10*T2^15 - 48*T1^11*T2^15 - 48*T1^12*T2^15 + 144*T1^13*T2^15 - 
      136*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
      8*T1^9*T2^16 + 25*T1^10*T2^16 - 43*T1^11*T2^16 + 49*T1^12*T2^16 - 
      43*T1^13*T2^16 + 25*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, 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), (1 - 8*T1 + 27*T1^2 - 49*T1^3 + 57*T1^4 - 49*T1^5 + 27*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 152*T1^2*T2 + 176*T1^3*T2 - 
     64*T1^4*T2 - 64*T1^5*T2 + 176*T1^6*T2 - 152*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 27*T2^2 - 152*T1*T2^2 + 243*T1^2*T2^2 + 194*T1^3*T2^2 - 
     885*T1^4*T2^2 + 1031*T1^5*T2^2 - 885*T1^6*T2^2 + 194*T1^7*T2^2 + 
     243*T1^8*T2^2 - 152*T1^9*T2^2 + 27*T1^10*T2^2 - 49*T2^3 + 176*T1*T2^3 + 
     194*T1^2*T2^3 - 1766*T1^3*T2^3 + 2403*T1^4*T2^3 - 714*T1^5*T2^3 - 
     714*T1^6*T2^3 + 2403*T1^7*T2^3 - 1766*T1^8*T2^3 + 194*T1^9*T2^3 + 
     176*T1^10*T2^3 - 49*T1^11*T2^3 + 57*T2^4 - 64*T1*T2^4 - 885*T1^2*T2^4 + 
     2403*T1^3*T2^4 + 447*T1^4*T2^4 - 5889*T1^5*T2^4 + 6495*T1^6*T2^4 - 
     5889*T1^7*T2^4 + 447*T1^8*T2^4 + 2403*T1^9*T2^4 - 885*T1^10*T2^4 - 
     64*T1^11*T2^4 + 57*T1^12*T2^4 - 49*T2^5 - 64*T1*T2^5 + 1031*T1^2*T2^5 - 
     714*T1^3*T2^5 - 5889*T1^4*T2^5 + 9618*T1^5*T2^5 - 2577*T1^6*T2^5 - 
     2577*T1^7*T2^5 + 9618*T1^8*T2^5 - 5889*T1^9*T2^5 - 714*T1^10*T2^5 + 
     1031*T1^11*T2^5 - 64*T1^12*T2^5 - 49*T1^13*T2^5 + 27*T2^6 + 
     176*T1*T2^6 - 885*T1^2*T2^6 - 714*T1^3*T2^6 + 6495*T1^4*T2^6 - 
     2577*T1^5*T2^6 - 10627*T1^6*T2^6 + 12143*T1^7*T2^6 - 10627*T1^8*T2^6 - 
     2577*T1^9*T2^6 + 6495*T1^10*T2^6 - 714*T1^11*T2^6 - 885*T1^12*T2^6 + 
     176*T1^13*T2^6 + 27*T1^14*T2^6 - 8*T2^7 - 152*T1*T2^7 + 194*T1^2*T2^7 + 
     2403*T1^3*T2^7 - 5889*T1^4*T2^7 - 2577*T1^5*T2^7 + 12143*T1^6*T2^7 - 
     3636*T1^7*T2^7 - 3636*T1^8*T2^7 + 12143*T1^9*T2^7 - 2577*T1^10*T2^7 - 
     5889*T1^11*T2^7 + 2403*T1^12*T2^7 + 194*T1^13*T2^7 - 152*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 243*T1^2*T2^8 - 1766*T1^3*T2^8 + 
     447*T1^4*T2^8 + 9618*T1^5*T2^8 - 10627*T1^6*T2^8 - 3636*T1^7*T2^8 + 
     6084*T1^8*T2^8 - 3636*T1^9*T2^8 - 10627*T1^10*T2^8 + 9618*T1^11*T2^8 + 
     447*T1^12*T2^8 - 1766*T1^13*T2^8 + 243*T1^14*T2^8 + 56*T1^15*T2^8 + 
     T1^16*T2^8 - 8*T1*T2^9 - 152*T1^2*T2^9 + 194*T1^3*T2^9 + 
     2403*T1^4*T2^9 - 5889*T1^5*T2^9 - 2577*T1^6*T2^9 + 12143*T1^7*T2^9 - 
     3636*T1^8*T2^9 - 3636*T1^9*T2^9 + 12143*T1^10*T2^9 - 2577*T1^11*T2^9 - 
     5889*T1^12*T2^9 + 2403*T1^13*T2^9 + 194*T1^14*T2^9 - 152*T1^15*T2^9 - 
     8*T1^16*T2^9 + 27*T1^2*T2^10 + 176*T1^3*T2^10 - 885*T1^4*T2^10 - 
     714*T1^5*T2^10 + 6495*T1^6*T2^10 - 2577*T1^7*T2^10 - 10627*T1^8*T2^10 + 
     12143*T1^9*T2^10 - 10627*T1^10*T2^10 - 2577*T1^11*T2^10 + 
     6495*T1^12*T2^10 - 714*T1^13*T2^10 - 885*T1^14*T2^10 + 176*T1^15*T2^10 + 
     27*T1^16*T2^10 - 49*T1^3*T2^11 - 64*T1^4*T2^11 + 1031*T1^5*T2^11 - 
     714*T1^6*T2^11 - 5889*T1^7*T2^11 + 9618*T1^8*T2^11 - 2577*T1^9*T2^11 - 
     2577*T1^10*T2^11 + 9618*T1^11*T2^11 - 5889*T1^12*T2^11 - 
     714*T1^13*T2^11 + 1031*T1^14*T2^11 - 64*T1^15*T2^11 - 49*T1^16*T2^11 + 
     57*T1^4*T2^12 - 64*T1^5*T2^12 - 885*T1^6*T2^12 + 2403*T1^7*T2^12 + 
     447*T1^8*T2^12 - 5889*T1^9*T2^12 + 6495*T1^10*T2^12 - 5889*T1^11*T2^12 + 
     447*T1^12*T2^12 + 2403*T1^13*T2^12 - 885*T1^14*T2^12 - 64*T1^15*T2^12 + 
     57*T1^16*T2^12 - 49*T1^5*T2^13 + 176*T1^6*T2^13 + 194*T1^7*T2^13 - 
     1766*T1^8*T2^13 + 2403*T1^9*T2^13 - 714*T1^10*T2^13 - 714*T1^11*T2^13 + 
     2403*T1^12*T2^13 - 1766*T1^13*T2^13 + 194*T1^14*T2^13 + 
     176*T1^15*T2^13 - 49*T1^16*T2^13 + 27*T1^6*T2^14 - 152*T1^7*T2^14 + 
     243*T1^8*T2^14 + 194*T1^9*T2^14 - 885*T1^10*T2^14 + 1031*T1^11*T2^14 - 
     885*T1^12*T2^14 + 194*T1^13*T2^14 + 243*T1^14*T2^14 - 152*T1^15*T2^14 + 
     27*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 152*T1^9*T2^15 + 
     176*T1^10*T2^15 - 64*T1^11*T2^15 - 64*T1^12*T2^15 + 176*T1^13*T2^15 - 
     152*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
     8*T1^9*T2^16 + 27*T1^10*T2^16 - 49*T1^11*T2^16 + 57*T1^12*T2^16 - 
     49*T1^13*T2^16 + 27*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 286] -> 
  {-((3 - 20*T + 55*T^2 - 77*T^3 + 55*T^4 - 20*T^5 + 3*T^6)/T^3), 
   -((3 - 22*T1 + 65*T1^2 - 95*T1^3 + 65*T1^4 - 22*T1^5 + 3*T1^6 - 22*T2 + 
      138*T1*T2 - 309*T1^2*T2 + 213*T1^3*T2 + 213*T1^4*T2 - 309*T1^5*T2 + 
      138*T1^6*T2 - 22*T1^7*T2 + 65*T2^2 - 309*T1*T2^2 + 285*T1^2*T2^2 + 
      883*T1^3*T2^2 - 2097*T1^4*T2^2 + 883*T1^5*T2^2 + 285*T1^6*T2^2 - 
      309*T1^7*T2^2 + 65*T1^8*T2^2 - 95*T2^3 + 213*T1*T2^3 + 883*T1^2*T2^3 - 
      3548*T1^3*T2^3 + 3020*T1^4*T2^3 + 3020*T1^5*T2^3 - 3548*T1^6*T2^3 + 
      883*T1^7*T2^3 + 213*T1^8*T2^3 - 95*T1^9*T2^3 + 65*T2^4 + 213*T1*T2^4 - 
      2097*T1^2*T2^4 + 3020*T1^3*T2^4 + 4346*T1^4*T2^4 - 13484*T1^5*T2^4 + 
      4346*T1^6*T2^4 + 3020*T1^7*T2^4 - 2097*T1^8*T2^4 + 213*T1^9*T2^4 + 
      65*T1^10*T2^4 - 22*T2^5 - 309*T1*T2^5 + 883*T1^2*T2^5 + 
      3020*T1^3*T2^5 - 13484*T1^4*T2^5 + 11982*T1^5*T2^5 + 11982*T1^6*T2^5 - 
      13484*T1^7*T2^5 + 3020*T1^8*T2^5 + 883*T1^9*T2^5 - 309*T1^10*T2^5 - 
      22*T1^11*T2^5 + 3*T2^6 + 138*T1*T2^6 + 285*T1^2*T2^6 - 3548*T1^3*T2^6 + 
      4346*T1^4*T2^6 + 11982*T1^5*T2^6 - 31380*T1^6*T2^6 + 11982*T1^7*T2^6 + 
      4346*T1^8*T2^6 - 3548*T1^9*T2^6 + 285*T1^10*T2^6 + 138*T1^11*T2^6 + 
      3*T1^12*T2^6 - 22*T1*T2^7 - 309*T1^2*T2^7 + 883*T1^3*T2^7 + 
      3020*T1^4*T2^7 - 13484*T1^5*T2^7 + 11982*T1^6*T2^7 + 11982*T1^7*T2^7 - 
      13484*T1^8*T2^7 + 3020*T1^9*T2^7 + 883*T1^10*T2^7 - 309*T1^11*T2^7 - 
      22*T1^12*T2^7 + 65*T1^2*T2^8 + 213*T1^3*T2^8 - 2097*T1^4*T2^8 + 
      3020*T1^5*T2^8 + 4346*T1^6*T2^8 - 13484*T1^7*T2^8 + 4346*T1^8*T2^8 + 
      3020*T1^9*T2^8 - 2097*T1^10*T2^8 + 213*T1^11*T2^8 + 65*T1^12*T2^8 - 
      95*T1^3*T2^9 + 213*T1^4*T2^9 + 883*T1^5*T2^9 - 3548*T1^6*T2^9 + 
      3020*T1^7*T2^9 + 3020*T1^8*T2^9 - 3548*T1^9*T2^9 + 883*T1^10*T2^9 + 
      213*T1^11*T2^9 - 95*T1^12*T2^9 + 65*T1^4*T2^10 - 309*T1^5*T2^10 + 
      285*T1^6*T2^10 + 883*T1^7*T2^10 - 2097*T1^8*T2^10 + 883*T1^9*T2^10 + 
      285*T1^10*T2^10 - 309*T1^11*T2^10 + 65*T1^12*T2^10 - 22*T1^5*T2^11 + 
      138*T1^6*T2^11 - 309*T1^7*T2^11 + 213*T1^8*T2^11 + 213*T1^9*T2^11 - 
      309*T1^10*T2^11 + 138*T1^11*T2^11 - 22*T1^12*T2^11 + 3*T1^6*T2^12 - 
      22*T1^7*T2^12 + 65*T1^8*T2^12 - 95*T1^9*T2^12 + 65*T1^10*T2^12 - 
      22*T1^11*T2^12 + 3*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), 
   (1 - 8*T1 + 27*T1^2 - 53*T1^3 + 65*T1^4 - 53*T1^5 + 27*T1^6 - 8*T1^7 + 
     T1^8 - 8*T2 + 56*T1*T2 - 152*T1^2*T2 + 208*T1^3*T2 - 96*T1^4*T2 - 
     96*T1^5*T2 + 208*T1^6*T2 - 152*T1^7*T2 + 56*T1^8*T2 - 8*T1^9*T2 + 
     27*T2^2 - 152*T1*T2^2 + 243*T1^2*T2^2 + 88*T1^3*T2^2 - 929*T1^4*T2^2 + 
     1327*T1^5*T2^2 - 929*T1^6*T2^2 + 88*T1^7*T2^2 + 243*T1^8*T2^2 - 
     152*T1^9*T2^2 + 27*T1^10*T2^2 - 53*T2^3 + 208*T1*T2^3 + 88*T1^2*T2^3 - 
     1390*T1^3*T2^3 + 2696*T1^4*T2^3 - 1275*T1^5*T2^3 - 1275*T1^6*T2^3 + 
     2696*T1^7*T2^3 - 1390*T1^8*T2^3 + 88*T1^9*T2^3 + 208*T1^10*T2^3 - 
     53*T1^11*T2^3 + 65*T2^4 - 96*T1*T2^4 - 929*T1^2*T2^4 + 2696*T1^3*T2^4 - 
     2001*T1^4*T2^4 - 3893*T1^5*T2^4 + 6579*T1^6*T2^4 - 3893*T1^7*T2^4 - 
     2001*T1^8*T2^4 + 2696*T1^9*T2^4 - 929*T1^10*T2^4 - 96*T1^11*T2^4 + 
     65*T1^12*T2^4 - 53*T2^5 - 96*T1*T2^5 + 1327*T1^2*T2^5 - 1275*T1^3*T2^5 - 
     3893*T1^4*T2^5 + 11490*T1^5*T2^5 - 5496*T1^6*T2^5 - 5496*T1^7*T2^5 + 
     11490*T1^8*T2^5 - 3893*T1^9*T2^5 - 1275*T1^10*T2^5 + 1327*T1^11*T2^5 - 
     96*T1^12*T2^5 - 53*T1^13*T2^5 + 27*T2^6 + 208*T1*T2^6 - 929*T1^2*T2^6 - 
     1275*T1^3*T2^6 + 6579*T1^4*T2^6 - 5496*T1^5*T2^6 - 13935*T1^6*T2^6 + 
     22617*T1^7*T2^6 - 13935*T1^8*T2^6 - 5496*T1^9*T2^6 + 6579*T1^10*T2^6 - 
     1275*T1^11*T2^6 - 929*T1^12*T2^6 + 208*T1^13*T2^6 + 27*T1^14*T2^6 - 
     8*T2^7 - 152*T1*T2^7 + 88*T1^2*T2^7 + 2696*T1^3*T2^7 - 3893*T1^4*T2^7 - 
     5496*T1^5*T2^7 + 22617*T1^6*T2^7 - 11010*T1^7*T2^7 - 11010*T1^8*T2^7 + 
     22617*T1^9*T2^7 - 5496*T1^10*T2^7 - 3893*T1^11*T2^7 + 2696*T1^12*T2^7 + 
     88*T1^13*T2^7 - 152*T1^14*T2^7 - 8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 
     243*T1^2*T2^8 - 1390*T1^3*T2^8 - 2001*T1^4*T2^8 + 11490*T1^5*T2^8 - 
     13935*T1^6*T2^8 - 11010*T1^7*T2^8 + 22344*T1^8*T2^8 - 11010*T1^9*T2^8 - 
     13935*T1^10*T2^8 + 11490*T1^11*T2^8 - 2001*T1^12*T2^8 - 
     1390*T1^13*T2^8 + 243*T1^14*T2^8 + 56*T1^15*T2^8 + T1^16*T2^8 - 
     8*T1*T2^9 - 152*T1^2*T2^9 + 88*T1^3*T2^9 + 2696*T1^4*T2^9 - 
     3893*T1^5*T2^9 - 5496*T1^6*T2^9 + 22617*T1^7*T2^9 - 11010*T1^8*T2^9 - 
     11010*T1^9*T2^9 + 22617*T1^10*T2^9 - 5496*T1^11*T2^9 - 3893*T1^12*T2^9 + 
     2696*T1^13*T2^9 + 88*T1^14*T2^9 - 152*T1^15*T2^9 - 8*T1^16*T2^9 + 
     27*T1^2*T2^10 + 208*T1^3*T2^10 - 929*T1^4*T2^10 - 1275*T1^5*T2^10 + 
     6579*T1^6*T2^10 - 5496*T1^7*T2^10 - 13935*T1^8*T2^10 + 
     22617*T1^9*T2^10 - 13935*T1^10*T2^10 - 5496*T1^11*T2^10 + 
     6579*T1^12*T2^10 - 1275*T1^13*T2^10 - 929*T1^14*T2^10 + 
     208*T1^15*T2^10 + 27*T1^16*T2^10 - 53*T1^3*T2^11 - 96*T1^4*T2^11 + 
     1327*T1^5*T2^11 - 1275*T1^6*T2^11 - 3893*T1^7*T2^11 + 11490*T1^8*T2^11 - 
     5496*T1^9*T2^11 - 5496*T1^10*T2^11 + 11490*T1^11*T2^11 - 
     3893*T1^12*T2^11 - 1275*T1^13*T2^11 + 1327*T1^14*T2^11 - 
     96*T1^15*T2^11 - 53*T1^16*T2^11 + 65*T1^4*T2^12 - 96*T1^5*T2^12 - 
     929*T1^6*T2^12 + 2696*T1^7*T2^12 - 2001*T1^8*T2^12 - 3893*T1^9*T2^12 + 
     6579*T1^10*T2^12 - 3893*T1^11*T2^12 - 2001*T1^12*T2^12 + 
     2696*T1^13*T2^12 - 929*T1^14*T2^12 - 96*T1^15*T2^12 + 65*T1^16*T2^12 - 
     53*T1^5*T2^13 + 208*T1^6*T2^13 + 88*T1^7*T2^13 - 1390*T1^8*T2^13 + 
     2696*T1^9*T2^13 - 1275*T1^10*T2^13 - 1275*T1^11*T2^13 + 
     2696*T1^12*T2^13 - 1390*T1^13*T2^13 + 88*T1^14*T2^13 + 208*T1^15*T2^13 - 
     53*T1^16*T2^13 + 27*T1^6*T2^14 - 152*T1^7*T2^14 + 243*T1^8*T2^14 + 
     88*T1^9*T2^14 - 929*T1^10*T2^14 + 1327*T1^11*T2^14 - 929*T1^12*T2^14 + 
     88*T1^13*T2^14 + 243*T1^14*T2^14 - 152*T1^15*T2^14 + 27*T1^16*T2^14 - 
     8*T1^7*T2^15 + 56*T1^8*T2^15 - 152*T1^9*T2^15 + 208*T1^10*T2^15 - 
     96*T1^11*T2^15 - 96*T1^12*T2^15 + 208*T1^13*T2^15 - 152*T1^14*T2^15 + 
     56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 8*T1^9*T2^16 + 
     27*T1^10*T2^16 - 53*T1^11*T2^16 + 65*T1^12*T2^16 - 53*T1^13*T2^16 + 
     27*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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), 
   (1 - 8*T1 + 28*T1^2 - 56*T1^3 + 69*T1^4 - 56*T1^5 + 28*T1^6 - 8*T1^7 + 
     T1^8 - 8*T2 + 56*T1*T2 - 160*T1^2*T2 + 224*T1^3*T2 - 104*T1^4*T2 - 
     104*T1^5*T2 + 224*T1^6*T2 - 160*T1^7*T2 + 56*T1^8*T2 - 8*T1^9*T2 + 
     28*T2^2 - 160*T1*T2^2 + 298*T1^2*T2^2 + 15*T1^3*T2^2 - 911*T1^4*T2^2 + 
     1338*T1^5*T2^2 - 911*T1^6*T2^2 + 15*T1^7*T2^2 + 298*T1^8*T2^2 - 
     160*T1^9*T2^2 + 28*T1^10*T2^2 - 56*T2^3 + 224*T1*T2^3 + 15*T1^2*T2^3 - 
     1490*T1^3*T2^3 + 3040*T1^4*T2^3 - 1444*T1^5*T2^3 - 1444*T1^6*T2^3 + 
     3040*T1^7*T2^3 - 1490*T1^8*T2^3 + 15*T1^9*T2^3 + 224*T1^10*T2^3 - 
     56*T1^11*T2^3 + 69*T2^4 - 104*T1*T2^4 - 911*T1^2*T2^4 + 3040*T1^3*T2^4 - 
     1993*T1^4*T2^4 - 5429*T1^5*T2^4 + 8779*T1^6*T2^4 - 5429*T1^7*T2^4 - 
     1993*T1^8*T2^4 + 3040*T1^9*T2^4 - 911*T1^10*T2^4 - 104*T1^11*T2^4 + 
     69*T1^12*T2^4 - 56*T2^5 - 104*T1*T2^5 + 1338*T1^2*T2^5 - 
     1444*T1^3*T2^5 - 5429*T1^4*T2^5 + 14970*T1^5*T2^5 - 7065*T1^6*T2^5 - 
     7065*T1^7*T2^5 + 14970*T1^8*T2^5 - 5429*T1^9*T2^5 - 1444*T1^10*T2^5 + 
     1338*T1^11*T2^5 - 104*T1^12*T2^5 - 56*T1^13*T2^5 + 28*T2^6 + 
     224*T1*T2^6 - 911*T1^2*T2^6 - 1444*T1^3*T2^6 + 8779*T1^4*T2^6 - 
     7065*T1^5*T2^6 - 17902*T1^6*T2^6 + 28710*T1^7*T2^6 - 17902*T1^8*T2^6 - 
     7065*T1^9*T2^6 + 8779*T1^10*T2^6 - 1444*T1^11*T2^6 - 911*T1^12*T2^6 + 
     224*T1^13*T2^6 + 28*T1^14*T2^6 - 8*T2^7 - 160*T1*T2^7 + 15*T1^2*T2^7 + 
     3040*T1^3*T2^7 - 5429*T1^4*T2^7 - 7065*T1^5*T2^7 + 28710*T1^6*T2^7 - 
     13620*T1^7*T2^7 - 13620*T1^8*T2^7 + 28710*T1^9*T2^7 - 7065*T1^10*T2^7 - 
     5429*T1^11*T2^7 + 3040*T1^12*T2^7 + 15*T1^13*T2^7 - 160*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 298*T1^2*T2^8 - 1490*T1^3*T2^8 - 
     1993*T1^4*T2^8 + 14970*T1^5*T2^8 - 17902*T1^6*T2^8 - 13620*T1^7*T2^8 + 
     27144*T1^8*T2^8 - 13620*T1^9*T2^8 - 17902*T1^10*T2^8 + 
     14970*T1^11*T2^8 - 1993*T1^12*T2^8 - 1490*T1^13*T2^8 + 298*T1^14*T2^8 + 
     56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 160*T1^2*T2^9 + 15*T1^3*T2^9 + 
     3040*T1^4*T2^9 - 5429*T1^5*T2^9 - 7065*T1^6*T2^9 + 28710*T1^7*T2^9 - 
     13620*T1^8*T2^9 - 13620*T1^9*T2^9 + 28710*T1^10*T2^9 - 7065*T1^11*T2^9 - 
     5429*T1^12*T2^9 + 3040*T1^13*T2^9 + 15*T1^14*T2^9 - 160*T1^15*T2^9 - 
     8*T1^16*T2^9 + 28*T1^2*T2^10 + 224*T1^3*T2^10 - 911*T1^4*T2^10 - 
     1444*T1^5*T2^10 + 8779*T1^6*T2^10 - 7065*T1^7*T2^10 - 17902*T1^8*T2^10 + 
     28710*T1^9*T2^10 - 17902*T1^10*T2^10 - 7065*T1^11*T2^10 + 
     8779*T1^12*T2^10 - 1444*T1^13*T2^10 - 911*T1^14*T2^10 + 
     224*T1^15*T2^10 + 28*T1^16*T2^10 - 56*T1^3*T2^11 - 104*T1^4*T2^11 + 
     1338*T1^5*T2^11 - 1444*T1^6*T2^11 - 5429*T1^7*T2^11 + 14970*T1^8*T2^11 - 
     7065*T1^9*T2^11 - 7065*T1^10*T2^11 + 14970*T1^11*T2^11 - 
     5429*T1^12*T2^11 - 1444*T1^13*T2^11 + 1338*T1^14*T2^11 - 
     104*T1^15*T2^11 - 56*T1^16*T2^11 + 69*T1^4*T2^12 - 104*T1^5*T2^12 - 
     911*T1^6*T2^12 + 3040*T1^7*T2^12 - 1993*T1^8*T2^12 - 5429*T1^9*T2^12 + 
     8779*T1^10*T2^12 - 5429*T1^11*T2^12 - 1993*T1^12*T2^12 + 
     3040*T1^13*T2^12 - 911*T1^14*T2^12 - 104*T1^15*T2^12 + 69*T1^16*T2^12 - 
     56*T1^5*T2^13 + 224*T1^6*T2^13 + 15*T1^7*T2^13 - 1490*T1^8*T2^13 + 
     3040*T1^9*T2^13 - 1444*T1^10*T2^13 - 1444*T1^11*T2^13 + 
     3040*T1^12*T2^13 - 1490*T1^13*T2^13 + 15*T1^14*T2^13 + 224*T1^15*T2^13 - 
     56*T1^16*T2^13 + 28*T1^6*T2^14 - 160*T1^7*T2^14 + 298*T1^8*T2^14 + 
     15*T1^9*T2^14 - 911*T1^10*T2^14 + 1338*T1^11*T2^14 - 911*T1^12*T2^14 + 
     15*T1^13*T2^14 + 298*T1^14*T2^14 - 160*T1^15*T2^14 + 28*T1^16*T2^14 - 
     8*T1^7*T2^15 + 56*T1^8*T2^15 - 160*T1^9*T2^15 + 224*T1^10*T2^15 - 
     104*T1^11*T2^15 - 104*T1^12*T2^15 + 224*T1^13*T2^15 - 160*T1^14*T2^15 + 
     56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 8*T1^9*T2^16 + 
     28*T1^10*T2^16 - 56*T1^11*T2^16 + 69*T1^12*T2^16 - 56*T1^13*T2^16 + 
     28*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 289] -> 
  {-((5 - 23*T + 43*T^2 - 51*T^3 + 43*T^4 - 23*T^5 + 5*T^6)/T^3), 
   -((270 - 1230*T1 + 2267*T1^2 - 2676*T1^3 + 2267*T1^4 - 1230*T1^5 + 
      270*T1^6 - 1230*T2 + 4386*T1*T2 - 4761*T1^2*T2 + 1883*T1^3*T2 + 
      1883*T1^4*T2 - 4761*T1^5*T2 + 4386*T1^6*T2 - 1230*T1^7*T2 + 2267*T2^2 - 
      4761*T1*T2^2 - 4224*T1^2*T2^2 + 14765*T1^3*T2^2 - 18312*T1^4*T2^2 + 
      14765*T1^5*T2^2 - 4224*T1^6*T2^2 - 4761*T1^7*T2^2 + 2267*T1^8*T2^2 - 
      2676*T2^3 + 1883*T1*T2^3 + 14765*T1^2*T2^3 - 18002*T1^3*T2^3 + 
      6750*T1^4*T2^3 + 6750*T1^5*T2^3 - 18002*T1^6*T2^3 + 14765*T1^7*T2^3 + 
      1883*T1^8*T2^3 - 2676*T1^9*T2^3 + 2267*T2^4 + 1883*T1*T2^4 - 
      18312*T1^2*T2^4 + 6750*T1^3*T2^4 + 9857*T1^4*T2^4 - 14409*T1^5*T2^4 + 
      9857*T1^6*T2^4 + 6750*T1^7*T2^4 - 18312*T1^8*T2^4 + 1883*T1^9*T2^4 + 
      2267*T1^10*T2^4 - 1230*T2^5 - 4761*T1*T2^5 + 14765*T1^2*T2^5 + 
      6750*T1^3*T2^5 - 14409*T1^4*T2^5 + 5344*T1^5*T2^5 + 5344*T1^6*T2^5 - 
      14409*T1^7*T2^5 + 6750*T1^8*T2^5 + 14765*T1^9*T2^5 - 4761*T1^10*T2^5 - 
      1230*T1^11*T2^5 + 270*T2^6 + 4386*T1*T2^6 - 4224*T1^2*T2^6 - 
      18002*T1^3*T2^6 + 9857*T1^4*T2^6 + 5344*T1^5*T2^6 - 9492*T1^6*T2^6 + 
      5344*T1^7*T2^6 + 9857*T1^8*T2^6 - 18002*T1^9*T2^6 - 4224*T1^10*T2^6 + 
      4386*T1^11*T2^6 + 270*T1^12*T2^6 - 1230*T1*T2^7 - 4761*T1^2*T2^7 + 
      14765*T1^3*T2^7 + 6750*T1^4*T2^7 - 14409*T1^5*T2^7 + 5344*T1^6*T2^7 + 
      5344*T1^7*T2^7 - 14409*T1^8*T2^7 + 6750*T1^9*T2^7 + 14765*T1^10*T2^7 - 
      4761*T1^11*T2^7 - 1230*T1^12*T2^7 + 2267*T1^2*T2^8 + 1883*T1^3*T2^8 - 
      18312*T1^4*T2^8 + 6750*T1^5*T2^8 + 9857*T1^6*T2^8 - 14409*T1^7*T2^8 + 
      9857*T1^8*T2^8 + 6750*T1^9*T2^8 - 18312*T1^10*T2^8 + 1883*T1^11*T2^8 + 
      2267*T1^12*T2^8 - 2676*T1^3*T2^9 + 1883*T1^4*T2^9 + 14765*T1^5*T2^9 - 
      18002*T1^6*T2^9 + 6750*T1^7*T2^9 + 6750*T1^8*T2^9 - 18002*T1^9*T2^9 + 
      14765*T1^10*T2^9 + 1883*T1^11*T2^9 - 2676*T1^12*T2^9 + 
      2267*T1^4*T2^10 - 4761*T1^5*T2^10 - 4224*T1^6*T2^10 + 
      14765*T1^7*T2^10 - 18312*T1^8*T2^10 + 14765*T1^9*T2^10 - 
      4224*T1^10*T2^10 - 4761*T1^11*T2^10 + 2267*T1^12*T2^10 - 
      1230*T1^5*T2^11 + 4386*T1^6*T2^11 - 4761*T1^7*T2^11 + 1883*T1^8*T2^11 + 
      1883*T1^9*T2^11 - 4761*T1^10*T2^11 + 4386*T1^11*T2^11 - 
      1230*T1^12*T2^11 + 270*T1^6*T2^12 - 1230*T1^7*T2^12 + 2267*T1^8*T2^12 - 
      2676*T1^9*T2^12 + 2267*T1^10*T2^12 - 1230*T1^11*T2^12 + 
      270*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 290] -> 
  {-(((1 - T + T^2)^2*(2 - 5*T + 5*T^2 - 5*T^3 + 2*T^4))/T^4), 
   -((9 - 40*T1 + 93*T1^2 - 150*T1^3 + 171*T1^4 - 150*T1^5 + 93*T1^6 - 
      40*T1^7 + 9*T1^8 - 40*T2 + 138*T1*T2 - 236*T1^2*T2 + 254*T1^3*T2 - 
      94*T1^4*T2 - 94*T1^5*T2 + 254*T1^6*T2 - 236*T1^7*T2 + 138*T1^8*T2 - 
      40*T1^9*T2 + 93*T2^2 - 236*T1*T2^2 + 261*T1^2*T2^2 - 113*T1^3*T2^2 - 
      268*T1^4*T2^2 + 329*T1^5*T2^2 - 268*T1^6*T2^2 - 113*T1^7*T2^2 + 
      261*T1^8*T2^2 - 236*T1^9*T2^2 + 93*T1^10*T2^2 - 150*T2^3 + 
      254*T1*T2^3 - 113*T1^2*T2^3 - 132*T1^3*T2^3 + 522*T1^4*T2^3 - 
      82*T1^5*T2^3 - 82*T1^6*T2^3 + 522*T1^7*T2^3 - 132*T1^8*T2^3 - 
      113*T1^9*T2^3 + 254*T1^10*T2^3 - 150*T1^11*T2^3 + 171*T2^4 - 
      94*T1*T2^4 - 268*T1^2*T2^4 + 522*T1^3*T2^4 - 799*T1^4*T2^4 - 
      152*T1^5*T2^4 - 119*T1^6*T2^4 - 152*T1^7*T2^4 - 799*T1^8*T2^4 + 
      522*T1^9*T2^4 - 268*T1^10*T2^4 - 94*T1^11*T2^4 + 171*T1^12*T2^4 - 
      150*T2^5 - 94*T1*T2^5 + 329*T1^2*T2^5 - 82*T1^3*T2^5 - 152*T1^4*T2^5 + 
      1388*T1^5*T2^5 - 16*T1^6*T2^5 - 16*T1^7*T2^5 + 1388*T1^8*T2^5 - 
      152*T1^9*T2^5 - 82*T1^10*T2^5 + 329*T1^11*T2^5 - 94*T1^12*T2^5 - 
      150*T1^13*T2^5 + 93*T2^6 + 254*T1*T2^6 - 268*T1^2*T2^6 - 82*T1^3*T2^6 - 
      119*T1^4*T2^6 - 16*T1^5*T2^6 - 2782*T1^6*T2^6 + 2212*T1^7*T2^6 - 
      2782*T1^8*T2^6 - 16*T1^9*T2^6 - 119*T1^10*T2^6 - 82*T1^11*T2^6 - 
      268*T1^12*T2^6 + 254*T1^13*T2^6 + 93*T1^14*T2^6 - 40*T2^7 - 
      236*T1*T2^7 - 113*T1^2*T2^7 + 522*T1^3*T2^7 - 152*T1^4*T2^7 - 
      16*T1^5*T2^7 + 2212*T1^6*T2^7 + 98*T1^7*T2^7 + 98*T1^8*T2^7 + 
      2212*T1^9*T2^7 - 16*T1^10*T2^7 - 152*T1^11*T2^7 + 522*T1^12*T2^7 - 
      113*T1^13*T2^7 - 236*T1^14*T2^7 - 40*T1^15*T2^7 + 9*T2^8 + 
      138*T1*T2^8 + 261*T1^2*T2^8 - 132*T1^3*T2^8 - 799*T1^4*T2^8 + 
      1388*T1^5*T2^8 - 2782*T1^6*T2^8 + 98*T1^7*T2^8 - 1260*T1^8*T2^8 + 
      98*T1^9*T2^8 - 2782*T1^10*T2^8 + 1388*T1^11*T2^8 - 799*T1^12*T2^8 - 
      132*T1^13*T2^8 + 261*T1^14*T2^8 + 138*T1^15*T2^8 + 9*T1^16*T2^8 - 
      40*T1*T2^9 - 236*T1^2*T2^9 - 113*T1^3*T2^9 + 522*T1^4*T2^9 - 
      152*T1^5*T2^9 - 16*T1^6*T2^9 + 2212*T1^7*T2^9 + 98*T1^8*T2^9 + 
      98*T1^9*T2^9 + 2212*T1^10*T2^9 - 16*T1^11*T2^9 - 152*T1^12*T2^9 + 
      522*T1^13*T2^9 - 113*T1^14*T2^9 - 236*T1^15*T2^9 - 40*T1^16*T2^9 + 
      93*T1^2*T2^10 + 254*T1^3*T2^10 - 268*T1^4*T2^10 - 82*T1^5*T2^10 - 
      119*T1^6*T2^10 - 16*T1^7*T2^10 - 2782*T1^8*T2^10 + 2212*T1^9*T2^10 - 
      2782*T1^10*T2^10 - 16*T1^11*T2^10 - 119*T1^12*T2^10 - 82*T1^13*T2^10 - 
      268*T1^14*T2^10 + 254*T1^15*T2^10 + 93*T1^16*T2^10 - 150*T1^3*T2^11 - 
      94*T1^4*T2^11 + 329*T1^5*T2^11 - 82*T1^6*T2^11 - 152*T1^7*T2^11 + 
      1388*T1^8*T2^11 - 16*T1^9*T2^11 - 16*T1^10*T2^11 + 1388*T1^11*T2^11 - 
      152*T1^12*T2^11 - 82*T1^13*T2^11 + 329*T1^14*T2^11 - 94*T1^15*T2^11 - 
      150*T1^16*T2^11 + 171*T1^4*T2^12 - 94*T1^5*T2^12 - 268*T1^6*T2^12 + 
      522*T1^7*T2^12 - 799*T1^8*T2^12 - 152*T1^9*T2^12 - 119*T1^10*T2^12 - 
      152*T1^11*T2^12 - 799*T1^12*T2^12 + 522*T1^13*T2^12 - 268*T1^14*T2^12 - 
      94*T1^15*T2^12 + 171*T1^16*T2^12 - 150*T1^5*T2^13 + 254*T1^6*T2^13 - 
      113*T1^7*T2^13 - 132*T1^8*T2^13 + 522*T1^9*T2^13 - 82*T1^10*T2^13 - 
      82*T1^11*T2^13 + 522*T1^12*T2^13 - 132*T1^13*T2^13 - 113*T1^14*T2^13 + 
      254*T1^15*T2^13 - 150*T1^16*T2^13 + 93*T1^6*T2^14 - 236*T1^7*T2^14 + 
      261*T1^8*T2^14 - 113*T1^9*T2^14 - 268*T1^10*T2^14 + 329*T1^11*T2^14 - 
      268*T1^12*T2^14 - 113*T1^13*T2^14 + 261*T1^14*T2^14 - 236*T1^15*T2^14 + 
      93*T1^16*T2^14 - 40*T1^7*T2^15 + 138*T1^8*T2^15 - 236*T1^9*T2^15 + 
      254*T1^10*T2^15 - 94*T1^11*T2^15 - 94*T1^12*T2^15 + 254*T1^13*T2^15 - 
      236*T1^14*T2^15 + 138*T1^15*T2^15 - 40*T1^16*T2^15 + 9*T1^8*T2^16 - 
      40*T1^9*T2^16 + 93*T1^10*T2^16 - 150*T1^11*T2^16 + 171*T1^12*T2^16 - 
      150*T1^13*T2^16 + 93*T1^14*T2^16 - 40*T1^15*T2^16 + 9*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 291] -> 
  {-(((1 - T + T^2)^2*(4 - 9*T + 4*T^2))/T^3), 
   (-2*(8 - 34*T1 + 70*T1^2 - 92*T1^3 + 70*T1^4 - 34*T1^5 + 8*T1^6 - 34*T2 + 
      111*T1*T2 - 153*T1^2*T2 + 93*T1^3*T2 + 93*T1^4*T2 - 153*T1^5*T2 + 
      111*T1^6*T2 - 34*T1^7*T2 + 70*T2^2 - 153*T1*T2^2 + 89*T1^2*T2^2 + 
      57*T1^3*T2^2 - 276*T1^4*T2^2 + 57*T1^5*T2^2 + 89*T1^6*T2^2 - 
      153*T1^7*T2^2 + 70*T1^8*T2^2 - 92*T2^3 + 93*T1*T2^3 + 57*T1^2*T2^3 - 
      22*T1^3*T2^3 + 190*T1^4*T2^3 + 190*T1^5*T2^3 - 22*T1^6*T2^3 + 
      57*T1^7*T2^3 + 93*T1^8*T2^3 - 92*T1^9*T2^3 + 70*T2^4 + 93*T1*T2^4 - 
      276*T1^2*T2^4 + 190*T1^3*T2^4 - 831*T1^4*T2^4 + 526*T1^5*T2^4 - 
      831*T1^6*T2^4 + 190*T1^7*T2^4 - 276*T1^8*T2^4 + 93*T1^9*T2^4 + 
      70*T1^10*T2^4 - 34*T2^5 - 153*T1*T2^5 + 57*T1^2*T2^5 + 190*T1^3*T2^5 + 
      526*T1^4*T2^5 + 191*T1^5*T2^5 + 191*T1^6*T2^5 + 526*T1^7*T2^5 + 
      190*T1^8*T2^5 + 57*T1^9*T2^5 - 153*T1^10*T2^5 - 34*T1^11*T2^5 + 
      8*T2^6 + 111*T1*T2^6 + 89*T1^2*T2^6 - 22*T1^3*T2^6 - 831*T1^4*T2^6 + 
      191*T1^5*T2^6 - 900*T1^6*T2^6 + 191*T1^7*T2^6 - 831*T1^8*T2^6 - 
      22*T1^9*T2^6 + 89*T1^10*T2^6 + 111*T1^11*T2^6 + 8*T1^12*T2^6 - 
      34*T1*T2^7 - 153*T1^2*T2^7 + 57*T1^3*T2^7 + 190*T1^4*T2^7 + 
      526*T1^5*T2^7 + 191*T1^6*T2^7 + 191*T1^7*T2^7 + 526*T1^8*T2^7 + 
      190*T1^9*T2^7 + 57*T1^10*T2^7 - 153*T1^11*T2^7 - 34*T1^12*T2^7 + 
      70*T1^2*T2^8 + 93*T1^3*T2^8 - 276*T1^4*T2^8 + 190*T1^5*T2^8 - 
      831*T1^6*T2^8 + 526*T1^7*T2^8 - 831*T1^8*T2^8 + 190*T1^9*T2^8 - 
      276*T1^10*T2^8 + 93*T1^11*T2^8 + 70*T1^12*T2^8 - 92*T1^3*T2^9 + 
      93*T1^4*T2^9 + 57*T1^5*T2^9 - 22*T1^6*T2^9 + 190*T1^7*T2^9 + 
      190*T1^8*T2^9 - 22*T1^9*T2^9 + 57*T1^10*T2^9 + 93*T1^11*T2^9 - 
      92*T1^12*T2^9 + 70*T1^4*T2^10 - 153*T1^5*T2^10 + 89*T1^6*T2^10 + 
      57*T1^7*T2^10 - 276*T1^8*T2^10 + 57*T1^9*T2^10 + 89*T1^10*T2^10 - 
      153*T1^11*T2^10 + 70*T1^12*T2^10 - 34*T1^5*T2^11 + 111*T1^6*T2^11 - 
      153*T1^7*T2^11 + 93*T1^8*T2^11 + 93*T1^9*T2^11 - 153*T1^10*T2^11 + 
      111*T1^11*T2^11 - 34*T1^12*T2^11 + 8*T1^6*T2^12 - 34*T1^7*T2^12 + 
      70*T1^8*T2^12 - 92*T1^9*T2^12 + 70*T1^10*T2^12 - 34*T1^11*T2^12 + 
      8*T1^12*T2^12))/(T1^6*T2^6)}, 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), 
   (1 - 8*T1 + 25*T1^2 - 47*T1^3 + 57*T1^4 - 47*T1^5 + 25*T1^6 - 8*T1^7 + 
     T1^8 - 8*T2 + 56*T1*T2 - 135*T1^2*T2 + 173*T1^3*T2 - 78*T1^4*T2 - 
     78*T1^5*T2 + 173*T1^6*T2 - 135*T1^7*T2 + 56*T1^8*T2 - 8*T1^9*T2 + 
     25*T2^2 - 135*T1*T2^2 + 139*T1^2*T2^2 + 208*T1^3*T2^2 - 896*T1^4*T2^2 + 
     1209*T1^5*T2^2 - 896*T1^6*T2^2 + 208*T1^7*T2^2 + 139*T1^8*T2^2 - 
     135*T1^9*T2^2 + 25*T1^10*T2^2 - 47*T2^3 + 173*T1*T2^3 + 208*T1^2*T2^3 - 
     1186*T1^3*T2^3 + 1983*T1^4*T2^3 - 910*T1^5*T2^3 - 910*T1^6*T2^3 + 
     1983*T1^7*T2^3 - 1186*T1^8*T2^3 + 208*T1^9*T2^3 + 173*T1^10*T2^3 - 
     47*T1^11*T2^3 + 57*T2^4 - 78*T1*T2^4 - 896*T1^2*T2^4 + 1983*T1^3*T2^4 - 
     1404*T1^4*T2^4 - 2145*T1^5*T2^4 + 3744*T1^6*T2^4 - 2145*T1^7*T2^4 - 
     1404*T1^8*T2^4 + 1983*T1^9*T2^4 - 896*T1^10*T2^4 - 78*T1^11*T2^4 + 
     57*T1^12*T2^4 - 47*T2^5 - 78*T1*T2^5 + 1209*T1^2*T2^5 - 910*T1^3*T2^5 - 
     2145*T1^4*T2^5 + 6180*T1^5*T2^5 - 2966*T1^6*T2^5 - 2966*T1^7*T2^5 + 
     6180*T1^8*T2^5 - 2145*T1^9*T2^5 - 910*T1^10*T2^5 + 1209*T1^11*T2^5 - 
     78*T1^12*T2^5 - 47*T1^13*T2^5 + 25*T2^6 + 173*T1*T2^6 - 896*T1^2*T2^6 - 
     910*T1^3*T2^6 + 3744*T1^4*T2^6 - 2966*T1^5*T2^6 - 6672*T1^6*T2^6 + 
     11064*T1^7*T2^6 - 6672*T1^8*T2^6 - 2966*T1^9*T2^6 + 3744*T1^10*T2^6 - 
     910*T1^11*T2^6 - 896*T1^12*T2^6 + 173*T1^13*T2^6 + 25*T1^14*T2^6 - 
     8*T2^7 - 135*T1*T2^7 + 208*T1^2*T2^7 + 1983*T1^3*T2^7 - 2145*T1^4*T2^7 - 
     2966*T1^5*T2^7 + 11064*T1^6*T2^7 - 5458*T1^7*T2^7 - 5458*T1^8*T2^7 + 
     11064*T1^9*T2^7 - 2966*T1^10*T2^7 - 2145*T1^11*T2^7 + 1983*T1^12*T2^7 + 
     208*T1^13*T2^7 - 135*T1^14*T2^7 - 8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 
     139*T1^2*T2^8 - 1186*T1^3*T2^8 - 1404*T1^4*T2^8 + 6180*T1^5*T2^8 - 
     6672*T1^6*T2^8 - 5458*T1^7*T2^8 + 11172*T1^8*T2^8 - 5458*T1^9*T2^8 - 
     6672*T1^10*T2^8 + 6180*T1^11*T2^8 - 1404*T1^12*T2^8 - 1186*T1^13*T2^8 + 
     139*T1^14*T2^8 + 56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 
     135*T1^2*T2^9 + 208*T1^3*T2^9 + 1983*T1^4*T2^9 - 2145*T1^5*T2^9 - 
     2966*T1^6*T2^9 + 11064*T1^7*T2^9 - 5458*T1^8*T2^9 - 5458*T1^9*T2^9 + 
     11064*T1^10*T2^9 - 2966*T1^11*T2^9 - 2145*T1^12*T2^9 + 1983*T1^13*T2^9 + 
     208*T1^14*T2^9 - 135*T1^15*T2^9 - 8*T1^16*T2^9 + 25*T1^2*T2^10 + 
     173*T1^3*T2^10 - 896*T1^4*T2^10 - 910*T1^5*T2^10 + 3744*T1^6*T2^10 - 
     2966*T1^7*T2^10 - 6672*T1^8*T2^10 + 11064*T1^9*T2^10 - 
     6672*T1^10*T2^10 - 2966*T1^11*T2^10 + 3744*T1^12*T2^10 - 
     910*T1^13*T2^10 - 896*T1^14*T2^10 + 173*T1^15*T2^10 + 25*T1^16*T2^10 - 
     47*T1^3*T2^11 - 78*T1^4*T2^11 + 1209*T1^5*T2^11 - 910*T1^6*T2^11 - 
     2145*T1^7*T2^11 + 6180*T1^8*T2^11 - 2966*T1^9*T2^11 - 2966*T1^10*T2^11 + 
     6180*T1^11*T2^11 - 2145*T1^12*T2^11 - 910*T1^13*T2^11 + 
     1209*T1^14*T2^11 - 78*T1^15*T2^11 - 47*T1^16*T2^11 + 57*T1^4*T2^12 - 
     78*T1^5*T2^12 - 896*T1^6*T2^12 + 1983*T1^7*T2^12 - 1404*T1^8*T2^12 - 
     2145*T1^9*T2^12 + 3744*T1^10*T2^12 - 2145*T1^11*T2^12 - 
     1404*T1^12*T2^12 + 1983*T1^13*T2^12 - 896*T1^14*T2^12 - 78*T1^15*T2^12 + 
     57*T1^16*T2^12 - 47*T1^5*T2^13 + 173*T1^6*T2^13 + 208*T1^7*T2^13 - 
     1186*T1^8*T2^13 + 1983*T1^9*T2^13 - 910*T1^10*T2^13 - 910*T1^11*T2^13 + 
     1983*T1^12*T2^13 - 1186*T1^13*T2^13 + 208*T1^14*T2^13 + 
     173*T1^15*T2^13 - 47*T1^16*T2^13 + 25*T1^6*T2^14 - 135*T1^7*T2^14 + 
     139*T1^8*T2^14 + 208*T1^9*T2^14 - 896*T1^10*T2^14 + 1209*T1^11*T2^14 - 
     896*T1^12*T2^14 + 208*T1^13*T2^14 + 139*T1^14*T2^14 - 135*T1^15*T2^14 + 
     25*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 135*T1^9*T2^15 + 
     173*T1^10*T2^15 - 78*T1^11*T2^15 - 78*T1^12*T2^15 + 173*T1^13*T2^15 - 
     135*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
     8*T1^9*T2^16 + 25*T1^10*T2^16 - 47*T1^11*T2^16 + 57*T1^12*T2^16 - 
     47*T1^13*T2^16 + 25*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 293] -> 
  {(7 - 26*T + 50*T^2 - 61*T^3 + 50*T^4 - 26*T^5 + 7*T^6)/T^3, 
   (1120 - 4056*T1 + 7702*T1^2 - 9354*T1^3 + 7702*T1^4 - 4056*T1^5 + 
     1120*T1^6 - 4056*T2 + 10720*T1*T2 - 13376*T1^2*T2 + 6081*T1^3*T2 + 
     6081*T1^4*T2 - 13376*T1^5*T2 + 10720*T1^6*T2 - 4056*T1^7*T2 + 
     7702*T2^2 - 13376*T1*T2^2 + 7013*T1^2*T2^2 + 10727*T1^3*T2^2 - 
     19581*T1^4*T2^2 + 10727*T1^5*T2^2 + 7013*T1^6*T2^2 - 13376*T1^7*T2^2 + 
     7702*T1^8*T2^2 - 9354*T2^3 + 6081*T1*T2^3 + 10727*T1^2*T2^3 - 
     25806*T1^3*T2^3 + 12871*T1^4*T2^3 + 12871*T1^5*T2^3 - 25806*T1^6*T2^3 + 
     10727*T1^7*T2^3 + 6081*T1^8*T2^3 - 9354*T1^9*T2^3 + 7702*T2^4 + 
     6081*T1*T2^4 - 19581*T1^2*T2^4 + 12871*T1^3*T2^4 + 22221*T1^4*T2^4 - 
     39011*T1^5*T2^4 + 22221*T1^6*T2^4 + 12871*T1^7*T2^4 - 19581*T1^8*T2^4 + 
     6081*T1^9*T2^4 + 7702*T1^10*T2^4 - 4056*T2^5 - 13376*T1*T2^5 + 
     10727*T1^2*T2^5 + 12871*T1^3*T2^5 - 39011*T1^4*T2^5 + 19208*T1^5*T2^5 + 
     19208*T1^6*T2^5 - 39011*T1^7*T2^5 + 12871*T1^8*T2^5 + 10727*T1^9*T2^5 - 
     13376*T1^10*T2^5 - 4056*T1^11*T2^5 + 1120*T2^6 + 10720*T1*T2^6 + 
     7013*T1^2*T2^6 - 25806*T1^3*T2^6 + 22221*T1^4*T2^6 + 19208*T1^5*T2^6 - 
     38568*T1^6*T2^6 + 19208*T1^7*T2^6 + 22221*T1^8*T2^6 - 25806*T1^9*T2^6 + 
     7013*T1^10*T2^6 + 10720*T1^11*T2^6 + 1120*T1^12*T2^6 - 4056*T1*T2^7 - 
     13376*T1^2*T2^7 + 10727*T1^3*T2^7 + 12871*T1^4*T2^7 - 39011*T1^5*T2^7 + 
     19208*T1^6*T2^7 + 19208*T1^7*T2^7 - 39011*T1^8*T2^7 + 12871*T1^9*T2^7 + 
     10727*T1^10*T2^7 - 13376*T1^11*T2^7 - 4056*T1^12*T2^7 + 7702*T1^2*T2^8 + 
     6081*T1^3*T2^8 - 19581*T1^4*T2^8 + 12871*T1^5*T2^8 + 22221*T1^6*T2^8 - 
     39011*T1^7*T2^8 + 22221*T1^8*T2^8 + 12871*T1^9*T2^8 - 19581*T1^10*T2^8 + 
     6081*T1^11*T2^8 + 7702*T1^12*T2^8 - 9354*T1^3*T2^9 + 6081*T1^4*T2^9 + 
     10727*T1^5*T2^9 - 25806*T1^6*T2^9 + 12871*T1^7*T2^9 + 12871*T1^8*T2^9 - 
     25806*T1^9*T2^9 + 10727*T1^10*T2^9 + 6081*T1^11*T2^9 - 9354*T1^12*T2^9 + 
     7702*T1^4*T2^10 - 13376*T1^5*T2^10 + 7013*T1^6*T2^10 + 
     10727*T1^7*T2^10 - 19581*T1^8*T2^10 + 10727*T1^9*T2^10 + 
     7013*T1^10*T2^10 - 13376*T1^11*T2^10 + 7702*T1^12*T2^10 - 
     4056*T1^5*T2^11 + 10720*T1^6*T2^11 - 13376*T1^7*T2^11 + 
     6081*T1^8*T2^11 + 6081*T1^9*T2^11 - 13376*T1^10*T2^11 + 
     10720*T1^11*T2^11 - 4056*T1^12*T2^11 + 1120*T1^6*T2^12 - 
     4056*T1^7*T2^12 + 7702*T1^8*T2^12 - 9354*T1^9*T2^12 + 7702*T1^10*T2^12 - 
     4056*T1^11*T2^12 + 1120*T1^12*T2^12)/(T1^6*T2^6)}, 
 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, -((17 - 75*T1 + 198*T1^2 - 328*T1^3 + 385*T1^4 - 328*T1^5 + 
      198*T1^6 - 75*T1^7 + 17*T1^8 - 75*T2 + 256*T1*T2 - 542*T1^2*T2 + 
      573*T1^3*T2 - 251*T1^4*T2 - 251*T1^5*T2 + 573*T1^6*T2 - 542*T1^7*T2 + 
      256*T1^8*T2 - 75*T1^9*T2 + 198*T2^2 - 542*T1*T2^2 + 1020*T1^2*T2^2 - 
      751*T1^3*T2^2 + 208*T1^4*T2^2 + 100*T1^5*T2^2 + 208*T1^6*T2^2 - 
      751*T1^7*T2^2 + 1020*T1^8*T2^2 - 542*T1^9*T2^2 + 198*T1^10*T2^2 - 
      328*T2^3 + 573*T1*T2^3 - 751*T1^2*T2^3 - 564*T1^3*T2^3 + 
      1098*T1^4*T2^3 - 604*T1^5*T2^3 - 604*T1^6*T2^3 + 1098*T1^7*T2^3 - 
      564*T1^8*T2^3 - 751*T1^9*T2^3 + 573*T1^10*T2^3 - 328*T1^11*T2^3 + 
      385*T2^4 - 251*T1*T2^4 + 208*T1^2*T2^4 + 1098*T1^3*T2^4 + 
      1070*T1^4*T2^4 - 3874*T1^5*T2^4 + 5428*T1^6*T2^4 - 3874*T1^7*T2^4 + 
      1070*T1^8*T2^4 + 1098*T1^9*T2^4 + 208*T1^10*T2^4 - 251*T1^11*T2^4 + 
      385*T1^12*T2^4 - 328*T2^5 - 251*T1*T2^5 + 100*T1^2*T2^5 - 
      604*T1^3*T2^5 - 3874*T1^4*T2^5 + 4996*T1^5*T2^5 - 2532*T1^6*T2^5 - 
      2532*T1^7*T2^5 + 4996*T1^8*T2^5 - 3874*T1^9*T2^5 - 604*T1^10*T2^5 + 
      100*T1^11*T2^5 - 251*T1^12*T2^5 - 328*T1^13*T2^5 + 198*T2^6 + 
      573*T1*T2^6 + 208*T1^2*T2^6 - 604*T1^3*T2^6 + 5428*T1^4*T2^6 - 
      2532*T1^5*T2^6 - 1866*T1^6*T2^6 + 4720*T1^7*T2^6 - 1866*T1^8*T2^6 - 
      2532*T1^9*T2^6 + 5428*T1^10*T2^6 - 604*T1^11*T2^6 + 208*T1^12*T2^6 + 
      573*T1^13*T2^6 + 198*T1^14*T2^6 - 75*T2^7 - 542*T1*T2^7 - 
      751*T1^2*T2^7 + 1098*T1^3*T2^7 - 3874*T1^4*T2^7 - 2532*T1^5*T2^7 + 
      4720*T1^6*T2^7 - 2816*T1^7*T2^7 - 2816*T1^8*T2^7 + 4720*T1^9*T2^7 - 
      2532*T1^10*T2^7 - 3874*T1^11*T2^7 + 1098*T1^12*T2^7 - 751*T1^13*T2^7 - 
      542*T1^14*T2^7 - 75*T1^15*T2^7 + 17*T2^8 + 256*T1*T2^8 + 
      1020*T1^2*T2^8 - 564*T1^3*T2^8 + 1070*T1^4*T2^8 + 4996*T1^5*T2^8 - 
      1866*T1^6*T2^8 - 2816*T1^7*T2^8 + 6084*T1^8*T2^8 - 2816*T1^9*T2^8 - 
      1866*T1^10*T2^8 + 4996*T1^11*T2^8 + 1070*T1^12*T2^8 - 564*T1^13*T2^8 + 
      1020*T1^14*T2^8 + 256*T1^15*T2^8 + 17*T1^16*T2^8 - 75*T1*T2^9 - 
      542*T1^2*T2^9 - 751*T1^3*T2^9 + 1098*T1^4*T2^9 - 3874*T1^5*T2^9 - 
      2532*T1^6*T2^9 + 4720*T1^7*T2^9 - 2816*T1^8*T2^9 - 2816*T1^9*T2^9 + 
      4720*T1^10*T2^9 - 2532*T1^11*T2^9 - 3874*T1^12*T2^9 + 1098*T1^13*T2^9 - 
      751*T1^14*T2^9 - 542*T1^15*T2^9 - 75*T1^16*T2^9 + 198*T1^2*T2^10 + 
      573*T1^3*T2^10 + 208*T1^4*T2^10 - 604*T1^5*T2^10 + 5428*T1^6*T2^10 - 
      2532*T1^7*T2^10 - 1866*T1^8*T2^10 + 4720*T1^9*T2^10 - 
      1866*T1^10*T2^10 - 2532*T1^11*T2^10 + 5428*T1^12*T2^10 - 
      604*T1^13*T2^10 + 208*T1^14*T2^10 + 573*T1^15*T2^10 + 198*T1^16*T2^10 - 
      328*T1^3*T2^11 - 251*T1^4*T2^11 + 100*T1^5*T2^11 - 604*T1^6*T2^11 - 
      3874*T1^7*T2^11 + 4996*T1^8*T2^11 - 2532*T1^9*T2^11 - 
      2532*T1^10*T2^11 + 4996*T1^11*T2^11 - 3874*T1^12*T2^11 - 
      604*T1^13*T2^11 + 100*T1^14*T2^11 - 251*T1^15*T2^11 - 328*T1^16*T2^11 + 
      385*T1^4*T2^12 - 251*T1^5*T2^12 + 208*T1^6*T2^12 + 1098*T1^7*T2^12 + 
      1070*T1^8*T2^12 - 3874*T1^9*T2^12 + 5428*T1^10*T2^12 - 
      3874*T1^11*T2^12 + 1070*T1^12*T2^12 + 1098*T1^13*T2^12 + 
      208*T1^14*T2^12 - 251*T1^15*T2^12 + 385*T1^16*T2^12 - 328*T1^5*T2^13 + 
      573*T1^6*T2^13 - 751*T1^7*T2^13 - 564*T1^8*T2^13 + 1098*T1^9*T2^13 - 
      604*T1^10*T2^13 - 604*T1^11*T2^13 + 1098*T1^12*T2^13 - 
      564*T1^13*T2^13 - 751*T1^14*T2^13 + 573*T1^15*T2^13 - 328*T1^16*T2^13 + 
      198*T1^6*T2^14 - 542*T1^7*T2^14 + 1020*T1^8*T2^14 - 751*T1^9*T2^14 + 
      208*T1^10*T2^14 + 100*T1^11*T2^14 + 208*T1^12*T2^14 - 751*T1^13*T2^14 + 
      1020*T1^14*T2^14 - 542*T1^15*T2^14 + 198*T1^16*T2^14 - 75*T1^7*T2^15 + 
      256*T1^8*T2^15 - 542*T1^9*T2^15 + 573*T1^10*T2^15 - 251*T1^11*T2^15 - 
      251*T1^12*T2^15 + 573*T1^13*T2^15 - 542*T1^14*T2^15 + 256*T1^15*T2^15 - 
      75*T1^16*T2^15 + 17*T1^8*T2^16 - 75*T1^9*T2^16 + 198*T1^10*T2^16 - 
      328*T1^11*T2^16 + 385*T1^12*T2^16 - 328*T1^13*T2^16 + 198*T1^14*T2^16 - 
      75*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8))}, 
 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)*
     (699 - 1918*T1 + 2567*T1^2 - 1918*T1^3 + 699*T1^4 - 1918*T2 + 
      3396*T1*T2 - 1822*T1^2*T2 - 1822*T1^3*T2 + 3396*T1^4*T2 - 
      1918*T1^5*T2 + 2567*T2^2 - 1822*T1*T2^2 - 2921*T1^2*T2^2 + 
      6131*T1^3*T2^2 - 2921*T1^4*T2^2 - 1822*T1^5*T2^2 + 2567*T1^6*T2^2 - 
      1918*T2^3 - 1822*T1*T2^3 + 6131*T1^2*T2^3 - 3864*T1^3*T2^3 - 
      3864*T1^4*T2^3 + 6131*T1^5*T2^3 - 1822*T1^6*T2^3 - 1918*T1^7*T2^3 + 
      699*T2^4 + 3396*T1*T2^4 - 2921*T1^2*T2^4 - 3864*T1^3*T2^4 + 
      8832*T1^4*T2^4 - 3864*T1^5*T2^4 - 2921*T1^6*T2^4 + 3396*T1^7*T2^4 + 
      699*T1^8*T2^4 - 1918*T1*T2^5 - 1822*T1^2*T2^5 + 6131*T1^3*T2^5 - 
      3864*T1^4*T2^5 - 3864*T1^5*T2^5 + 6131*T1^6*T2^5 - 1822*T1^7*T2^5 - 
      1918*T1^8*T2^5 + 2567*T1^2*T2^6 - 1822*T1^3*T2^6 - 2921*T1^4*T2^6 + 
      6131*T1^5*T2^6 - 2921*T1^6*T2^6 - 1822*T1^7*T2^6 + 2567*T1^8*T2^6 - 
      1918*T1^3*T2^7 + 3396*T1^4*T2^7 - 1822*T1^5*T2^7 - 1822*T1^6*T2^7 + 
      3396*T1^7*T2^7 - 1918*T1^8*T2^7 + 699*T1^4*T2^8 - 1918*T1^5*T2^8 + 
      2567*T1^6*T2^8 - 1918*T1^7*T2^8 + 699*T1^8*T2^8))/(T1^6*T2^6)}, 
 Knot[12, Alternating, 296] -> 
  {(3 - 21*T + 55*T^2 - 73*T^3 + 55*T^4 - 21*T^5 + 3*T^6)/T^3, 
   (30 - 207*T1 + 536*T1^2 - 706*T1^3 + 536*T1^4 - 207*T1^5 + 30*T1^6 - 
     207*T2 + 1224*T1*T2 - 2282*T1^2*T2 + 1184*T1^3*T2 + 1184*T1^4*T2 - 
     2282*T1^5*T2 + 1224*T1^6*T2 - 207*T1^7*T2 + 536*T2^2 - 2282*T1*T2^2 + 
     318*T1^2*T2^2 + 9157*T1^3*T2^2 - 14516*T1^4*T2^2 + 9157*T1^5*T2^2 + 
     318*T1^6*T2^2 - 2282*T1^7*T2^2 + 536*T1^8*T2^2 - 706*T2^3 + 
     1184*T1*T2^3 + 9157*T1^2*T2^3 - 24830*T1^3*T2^3 + 13614*T1^4*T2^3 + 
     13614*T1^5*T2^3 - 24830*T1^6*T2^3 + 9157*T1^7*T2^3 + 1184*T1^8*T2^3 - 
     706*T1^9*T2^3 + 536*T2^4 + 1184*T1*T2^4 - 14516*T1^2*T2^4 + 
     13614*T1^3*T2^4 + 33232*T1^4*T2^4 - 61138*T1^5*T2^4 + 33232*T1^6*T2^4 + 
     13614*T1^7*T2^4 - 14516*T1^8*T2^4 + 1184*T1^9*T2^4 + 536*T1^10*T2^4 - 
     207*T2^5 - 2282*T1*T2^5 + 9157*T1^2*T2^5 + 13614*T1^3*T2^5 - 
     61138*T1^4*T2^5 + 35434*T1^5*T2^5 + 35434*T1^6*T2^5 - 61138*T1^7*T2^5 + 
     13614*T1^8*T2^5 + 9157*T1^9*T2^5 - 2282*T1^10*T2^5 - 207*T1^11*T2^5 + 
     30*T2^6 + 1224*T1*T2^6 + 318*T1^2*T2^6 - 24830*T1^3*T2^6 + 
     33232*T1^4*T2^6 + 35434*T1^5*T2^6 - 78312*T1^6*T2^6 + 35434*T1^7*T2^6 + 
     33232*T1^8*T2^6 - 24830*T1^9*T2^6 + 318*T1^10*T2^6 + 1224*T1^11*T2^6 + 
     30*T1^12*T2^6 - 207*T1*T2^7 - 2282*T1^2*T2^7 + 9157*T1^3*T2^7 + 
     13614*T1^4*T2^7 - 61138*T1^5*T2^7 + 35434*T1^6*T2^7 + 35434*T1^7*T2^7 - 
     61138*T1^8*T2^7 + 13614*T1^9*T2^7 + 9157*T1^10*T2^7 - 2282*T1^11*T2^7 - 
     207*T1^12*T2^7 + 536*T1^2*T2^8 + 1184*T1^3*T2^8 - 14516*T1^4*T2^8 + 
     13614*T1^5*T2^8 + 33232*T1^6*T2^8 - 61138*T1^7*T2^8 + 33232*T1^8*T2^8 + 
     13614*T1^9*T2^8 - 14516*T1^10*T2^8 + 1184*T1^11*T2^8 + 536*T1^12*T2^8 - 
     706*T1^3*T2^9 + 1184*T1^4*T2^9 + 9157*T1^5*T2^9 - 24830*T1^6*T2^9 + 
     13614*T1^7*T2^9 + 13614*T1^8*T2^9 - 24830*T1^9*T2^9 + 9157*T1^10*T2^9 + 
     1184*T1^11*T2^9 - 706*T1^12*T2^9 + 536*T1^4*T2^10 - 2282*T1^5*T2^10 + 
     318*T1^6*T2^10 + 9157*T1^7*T2^10 - 14516*T1^8*T2^10 + 9157*T1^9*T2^10 + 
     318*T1^10*T2^10 - 2282*T1^11*T2^10 + 536*T1^12*T2^10 - 207*T1^5*T2^11 + 
     1224*T1^6*T2^11 - 2282*T1^7*T2^11 + 1184*T1^8*T2^11 + 1184*T1^9*T2^11 - 
     2282*T1^10*T2^11 + 1224*T1^11*T2^11 - 207*T1^12*T2^11 + 30*T1^6*T2^12 - 
     207*T1^7*T2^12 + 536*T1^8*T2^12 - 706*T1^9*T2^12 + 536*T1^10*T2^12 - 
     207*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 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)*
      (17 - 50*T1 + 91*T1^2 - 107*T1^3 + 91*T1^4 - 50*T1^5 + 17*T1^6 - 
       50*T2 + 98*T1*T2 - 122*T1^2*T2 + 48*T1^3*T2 + 48*T1^4*T2 - 
       122*T1^5*T2 + 98*T1^6*T2 - 50*T1^7*T2 + 91*T2^2 - 122*T1*T2^2 + 
       135*T1^2*T2^2 - 9*T1^3*T2^2 - 25*T1^4*T2^2 - 9*T1^5*T2^2 + 
       135*T1^6*T2^2 - 122*T1^7*T2^2 + 91*T1^8*T2^2 - 107*T2^3 + 48*T1*T2^3 - 
       9*T1^2*T2^3 - 168*T1^3*T2^3 + 63*T1^4*T2^3 + 63*T1^5*T2^3 - 
       168*T1^6*T2^3 - 9*T1^7*T2^3 + 48*T1^8*T2^3 - 107*T1^9*T2^3 + 91*T2^4 + 
       48*T1*T2^4 - 25*T1^2*T2^4 + 63*T1^3*T2^4 + 273*T1^4*T2^4 - 
       359*T1^5*T2^4 + 273*T1^6*T2^4 + 63*T1^7*T2^4 - 25*T1^8*T2^4 + 
       48*T1^9*T2^4 + 91*T1^10*T2^4 - 50*T2^5 - 122*T1*T2^5 - 9*T1^2*T2^5 + 
       63*T1^3*T2^5 - 359*T1^4*T2^5 + 132*T1^5*T2^5 + 132*T1^6*T2^5 - 
       359*T1^7*T2^5 + 63*T1^8*T2^5 - 9*T1^9*T2^5 - 122*T1^10*T2^5 - 
       50*T1^11*T2^5 + 17*T2^6 + 98*T1*T2^6 + 135*T1^2*T2^6 - 168*T1^3*T2^6 + 
       273*T1^4*T2^6 + 132*T1^5*T2^6 - 228*T1^6*T2^6 + 132*T1^7*T2^6 + 
       273*T1^8*T2^6 - 168*T1^9*T2^6 + 135*T1^10*T2^6 + 98*T1^11*T2^6 + 
       17*T1^12*T2^6 - 50*T1*T2^7 - 122*T1^2*T2^7 - 9*T1^3*T2^7 + 
       63*T1^4*T2^7 - 359*T1^5*T2^7 + 132*T1^6*T2^7 + 132*T1^7*T2^7 - 
       359*T1^8*T2^7 + 63*T1^9*T2^7 - 9*T1^10*T2^7 - 122*T1^11*T2^7 - 
       50*T1^12*T2^7 + 91*T1^2*T2^8 + 48*T1^3*T2^8 - 25*T1^4*T2^8 + 
       63*T1^5*T2^8 + 273*T1^6*T2^8 - 359*T1^7*T2^8 + 273*T1^8*T2^8 + 
       63*T1^9*T2^8 - 25*T1^10*T2^8 + 48*T1^11*T2^8 + 91*T1^12*T2^8 - 
       107*T1^3*T2^9 + 48*T1^4*T2^9 - 9*T1^5*T2^9 - 168*T1^6*T2^9 + 
       63*T1^7*T2^9 + 63*T1^8*T2^9 - 168*T1^9*T2^9 - 9*T1^10*T2^9 + 
       48*T1^11*T2^9 - 107*T1^12*T2^9 + 91*T1^4*T2^10 - 122*T1^5*T2^10 + 
       135*T1^6*T2^10 - 9*T1^7*T2^10 - 25*T1^8*T2^10 - 9*T1^9*T2^10 + 
       135*T1^10*T2^10 - 122*T1^11*T2^10 + 91*T1^12*T2^10 - 50*T1^5*T2^11 + 
       98*T1^6*T2^11 - 122*T1^7*T2^11 + 48*T1^8*T2^11 + 48*T1^9*T2^11 - 
       122*T1^10*T2^11 + 98*T1^11*T2^11 - 50*T1^12*T2^11 + 17*T1^6*T2^12 - 
       50*T1^7*T2^12 + 91*T1^8*T2^12 - 107*T1^9*T2^12 + 91*T1^10*T2^12 - 
       50*T1^11*T2^12 + 17*T1^12*T2^12))/(T1^8*T2^8))}, 
 Knot[12, Alternating, 298] -> 
  {-(((1 - T + T^2)^2*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^4), 
   (1 - 7*T1 + 20*T1^2 - 36*T1^3 + 43*T1^4 - 36*T1^5 + 20*T1^6 - 7*T1^7 + 
     T1^8 - 7*T2 + 42*T1*T2 - 91*T1^2*T2 + 112*T1^3*T2 - 49*T1^4*T2 - 
     49*T1^5*T2 + 112*T1^6*T2 - 91*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 
     20*T2^2 - 91*T1*T2^2 + 82*T1^2*T2^2 + 105*T1^3*T2^2 - 482*T1^4*T2^2 + 
     646*T1^5*T2^2 - 482*T1^6*T2^2 + 105*T1^7*T2^2 + 82*T1^8*T2^2 - 
     91*T1^9*T2^2 + 20*T1^10*T2^2 - 36*T2^3 + 112*T1*T2^3 + 105*T1^2*T2^3 - 
     544*T1^3*T2^3 + 963*T1^4*T2^3 - 439*T1^5*T2^3 - 439*T1^6*T2^3 + 
     963*T1^7*T2^3 - 544*T1^8*T2^3 + 105*T1^9*T2^3 + 112*T1^10*T2^3 - 
     36*T1^11*T2^3 + 43*T2^4 - 49*T1*T2^4 - 482*T1^2*T2^4 + 963*T1^3*T2^4 - 
     961*T1^4*T2^4 - 601*T1^5*T2^4 + 1341*T1^6*T2^4 - 601*T1^7*T2^4 - 
     961*T1^8*T2^4 + 963*T1^9*T2^4 - 482*T1^10*T2^4 - 49*T1^11*T2^4 + 
     43*T1^12*T2^4 - 36*T2^5 - 49*T1*T2^5 + 646*T1^2*T2^5 - 439*T1^3*T2^5 - 
     601*T1^4*T2^5 + 2694*T1^5*T2^5 - 1423*T1^6*T2^5 - 1423*T1^7*T2^5 + 
     2694*T1^8*T2^5 - 601*T1^9*T2^5 - 439*T1^10*T2^5 + 646*T1^11*T2^5 - 
     49*T1^12*T2^5 - 36*T1^13*T2^5 + 20*T2^6 + 112*T1*T2^6 - 482*T1^2*T2^6 - 
     439*T1^3*T2^6 + 1341*T1^4*T2^6 - 1423*T1^5*T2^6 - 3210*T1^6*T2^6 + 
     5816*T1^7*T2^6 - 3210*T1^8*T2^6 - 1423*T1^9*T2^6 + 1341*T1^10*T2^6 - 
     439*T1^11*T2^6 - 482*T1^12*T2^6 + 112*T1^13*T2^6 + 20*T1^14*T2^6 - 
     7*T2^7 - 91*T1*T2^7 + 105*T1^2*T2^7 + 963*T1^3*T2^7 - 601*T1^4*T2^7 - 
     1423*T1^5*T2^7 + 5816*T1^6*T2^7 - 3328*T1^7*T2^7 - 3328*T1^8*T2^7 + 
     5816*T1^9*T2^7 - 1423*T1^10*T2^7 - 601*T1^11*T2^7 + 963*T1^12*T2^7 + 
     105*T1^13*T2^7 - 91*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 
     82*T1^2*T2^8 - 544*T1^3*T2^8 - 961*T1^4*T2^8 + 2694*T1^5*T2^8 - 
     3210*T1^6*T2^8 - 3328*T1^7*T2^8 + 7404*T1^8*T2^8 - 3328*T1^9*T2^8 - 
     3210*T1^10*T2^8 + 2694*T1^11*T2^8 - 961*T1^12*T2^8 - 544*T1^13*T2^8 + 
     82*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 91*T1^2*T2^9 + 
     105*T1^3*T2^9 + 963*T1^4*T2^9 - 601*T1^5*T2^9 - 1423*T1^6*T2^9 + 
     5816*T1^7*T2^9 - 3328*T1^8*T2^9 - 3328*T1^9*T2^9 + 5816*T1^10*T2^9 - 
     1423*T1^11*T2^9 - 601*T1^12*T2^9 + 963*T1^13*T2^9 + 105*T1^14*T2^9 - 
     91*T1^15*T2^9 - 7*T1^16*T2^9 + 20*T1^2*T2^10 + 112*T1^3*T2^10 - 
     482*T1^4*T2^10 - 439*T1^5*T2^10 + 1341*T1^6*T2^10 - 1423*T1^7*T2^10 - 
     3210*T1^8*T2^10 + 5816*T1^9*T2^10 - 3210*T1^10*T2^10 - 
     1423*T1^11*T2^10 + 1341*T1^12*T2^10 - 439*T1^13*T2^10 - 
     482*T1^14*T2^10 + 112*T1^15*T2^10 + 20*T1^16*T2^10 - 36*T1^3*T2^11 - 
     49*T1^4*T2^11 + 646*T1^5*T2^11 - 439*T1^6*T2^11 - 601*T1^7*T2^11 + 
     2694*T1^8*T2^11 - 1423*T1^9*T2^11 - 1423*T1^10*T2^11 + 
     2694*T1^11*T2^11 - 601*T1^12*T2^11 - 439*T1^13*T2^11 + 646*T1^14*T2^11 - 
     49*T1^15*T2^11 - 36*T1^16*T2^11 + 43*T1^4*T2^12 - 49*T1^5*T2^12 - 
     482*T1^6*T2^12 + 963*T1^7*T2^12 - 961*T1^8*T2^12 - 601*T1^9*T2^12 + 
     1341*T1^10*T2^12 - 601*T1^11*T2^12 - 961*T1^12*T2^12 + 963*T1^13*T2^12 - 
     482*T1^14*T2^12 - 49*T1^15*T2^12 + 43*T1^16*T2^12 - 36*T1^5*T2^13 + 
     112*T1^6*T2^13 + 105*T1^7*T2^13 - 544*T1^8*T2^13 + 963*T1^9*T2^13 - 
     439*T1^10*T2^13 - 439*T1^11*T2^13 + 963*T1^12*T2^13 - 544*T1^13*T2^13 + 
     105*T1^14*T2^13 + 112*T1^15*T2^13 - 36*T1^16*T2^13 + 20*T1^6*T2^14 - 
     91*T1^7*T2^14 + 82*T1^8*T2^14 + 105*T1^9*T2^14 - 482*T1^10*T2^14 + 
     646*T1^11*T2^14 - 482*T1^12*T2^14 + 105*T1^13*T2^14 + 82*T1^14*T2^14 - 
     91*T1^15*T2^14 + 20*T1^16*T2^14 - 7*T1^7*T2^15 + 42*T1^8*T2^15 - 
     91*T1^9*T2^15 + 112*T1^10*T2^15 - 49*T1^11*T2^15 - 49*T1^12*T2^15 + 
     112*T1^13*T2^15 - 91*T1^14*T2^15 + 42*T1^15*T2^15 - 7*T1^16*T2^15 + 
     T1^8*T2^16 - 7*T1^9*T2^16 + 20*T1^10*T2^16 - 36*T1^11*T2^16 + 
     43*T1^12*T2^16 - 36*T1^13*T2^16 + 20*T1^14*T2^16 - 7*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, 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, 
   (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 + 84*T1*T2 - 182*T1^2*T2 + 182*T1^3*T2 - 84*T1^4*T2 - 
     84*T1^5*T2 + 182*T1^6*T2 - 182*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
     40*T2^2 - 182*T1*T2^2 + 159*T1^2*T2^2 + 342*T1^3*T2^2 - 850*T1^4*T2^2 + 
     1153*T1^5*T2^2 - 850*T1^6*T2^2 + 342*T1^7*T2^2 + 159*T1^8*T2^2 - 
     182*T1^9*T2^2 + 40*T1^10*T2^2 - 66*T2^3 + 182*T1*T2^3 + 342*T1^2*T2^3 - 
     1490*T1^3*T2^3 + 1536*T1^4*T2^3 - 815*T1^5*T2^3 - 815*T1^6*T2^3 + 
     1536*T1^7*T2^3 - 1490*T1^8*T2^3 + 342*T1^9*T2^3 + 182*T1^10*T2^3 - 
     66*T1^11*T2^3 + 78*T2^4 - 84*T1*T2^4 - 850*T1^2*T2^4 + 1536*T1^3*T2^4 + 
     510*T1^4*T2^4 - 2392*T1^5*T2^4 + 3958*T1^6*T2^4 - 2392*T1^7*T2^4 + 
     510*T1^8*T2^4 + 1536*T1^9*T2^4 - 850*T1^10*T2^4 - 84*T1^11*T2^4 + 
     78*T1^12*T2^4 - 66*T2^5 - 84*T1*T2^5 + 1153*T1^2*T2^5 - 815*T1^3*T2^5 - 
     2392*T1^4*T2^5 + 2694*T1^5*T2^5 - 1948*T1^6*T2^5 - 1948*T1^7*T2^5 + 
     2694*T1^8*T2^5 - 2392*T1^9*T2^5 - 815*T1^10*T2^5 + 1153*T1^11*T2^5 - 
     84*T1^12*T2^5 - 66*T1^13*T2^5 + 40*T2^6 + 182*T1*T2^6 - 850*T1^2*T2^6 - 
     815*T1^3*T2^6 + 3958*T1^4*T2^6 - 1948*T1^5*T2^6 + 299*T1^6*T2^6 + 
     2635*T1^7*T2^6 + 299*T1^8*T2^6 - 1948*T1^9*T2^6 + 3958*T1^10*T2^6 - 
     815*T1^11*T2^6 - 850*T1^12*T2^6 + 182*T1^13*T2^6 + 40*T1^14*T2^6 - 
     14*T2^7 - 182*T1*T2^7 + 342*T1^2*T2^7 + 1536*T1^3*T2^7 - 
     2392*T1^4*T2^7 - 1948*T1^5*T2^7 + 2635*T1^6*T2^7 - 2702*T1^7*T2^7 - 
     2702*T1^8*T2^7 + 2635*T1^9*T2^7 - 1948*T1^10*T2^7 - 2392*T1^11*T2^7 + 
     1536*T1^12*T2^7 + 342*T1^13*T2^7 - 182*T1^14*T2^7 - 14*T1^15*T2^7 + 
     2*T2^8 + 84*T1*T2^8 + 159*T1^2*T2^8 - 1490*T1^3*T2^8 + 510*T1^4*T2^8 + 
     2694*T1^5*T2^8 + 299*T1^6*T2^8 - 2702*T1^7*T2^8 + 6732*T1^8*T2^8 - 
     2702*T1^9*T2^8 + 299*T1^10*T2^8 + 2694*T1^11*T2^8 + 510*T1^12*T2^8 - 
     1490*T1^13*T2^8 + 159*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 
     14*T1*T2^9 - 182*T1^2*T2^9 + 342*T1^3*T2^9 + 1536*T1^4*T2^9 - 
     2392*T1^5*T2^9 - 1948*T1^6*T2^9 + 2635*T1^7*T2^9 - 2702*T1^8*T2^9 - 
     2702*T1^9*T2^9 + 2635*T1^10*T2^9 - 1948*T1^11*T2^9 - 2392*T1^12*T2^9 + 
     1536*T1^13*T2^9 + 342*T1^14*T2^9 - 182*T1^15*T2^9 - 14*T1^16*T2^9 + 
     40*T1^2*T2^10 + 182*T1^3*T2^10 - 850*T1^4*T2^10 - 815*T1^5*T2^10 + 
     3958*T1^6*T2^10 - 1948*T1^7*T2^10 + 299*T1^8*T2^10 + 2635*T1^9*T2^10 + 
     299*T1^10*T2^10 - 1948*T1^11*T2^10 + 3958*T1^12*T2^10 - 
     815*T1^13*T2^10 - 850*T1^14*T2^10 + 182*T1^15*T2^10 + 40*T1^16*T2^10 - 
     66*T1^3*T2^11 - 84*T1^4*T2^11 + 1153*T1^5*T2^11 - 815*T1^6*T2^11 - 
     2392*T1^7*T2^11 + 2694*T1^8*T2^11 - 1948*T1^9*T2^11 - 1948*T1^10*T2^11 + 
     2694*T1^11*T2^11 - 2392*T1^12*T2^11 - 815*T1^13*T2^11 + 
     1153*T1^14*T2^11 - 84*T1^15*T2^11 - 66*T1^16*T2^11 + 78*T1^4*T2^12 - 
     84*T1^5*T2^12 - 850*T1^6*T2^12 + 1536*T1^7*T2^12 + 510*T1^8*T2^12 - 
     2392*T1^9*T2^12 + 3958*T1^10*T2^12 - 2392*T1^11*T2^12 + 
     510*T1^12*T2^12 + 1536*T1^13*T2^12 - 850*T1^14*T2^12 - 84*T1^15*T2^12 + 
     78*T1^16*T2^12 - 66*T1^5*T2^13 + 182*T1^6*T2^13 + 342*T1^7*T2^13 - 
     1490*T1^8*T2^13 + 1536*T1^9*T2^13 - 815*T1^10*T2^13 - 815*T1^11*T2^13 + 
     1536*T1^12*T2^13 - 1490*T1^13*T2^13 + 342*T1^14*T2^13 + 
     182*T1^15*T2^13 - 66*T1^16*T2^13 + 40*T1^6*T2^14 - 182*T1^7*T2^14 + 
     159*T1^8*T2^14 + 342*T1^9*T2^14 - 850*T1^10*T2^14 + 1153*T1^11*T2^14 - 
     850*T1^12*T2^14 + 342*T1^13*T2^14 + 159*T1^14*T2^14 - 182*T1^15*T2^14 + 
     40*T1^16*T2^14 - 14*T1^7*T2^15 + 84*T1^8*T2^15 - 182*T1^9*T2^15 + 
     182*T1^10*T2^15 - 84*T1^11*T2^15 - 84*T1^12*T2^15 + 182*T1^13*T2^15 - 
     182*T1^14*T2^15 + 84*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)/
    (T1^8*T2^8)}, Knot[12, Alternating, 300] -> 
  {((1 - 3*T + T^2)*(2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4))/T^3, 
   (9 - 63*T1 + 167*T1^2 - 221*T1^3 + 167*T1^4 - 63*T1^5 + 9*T1^6 - 63*T2 + 
     378*T1*T2 - 728*T1^2*T2 + 378*T1^3*T2 + 378*T1^4*T2 - 728*T1^5*T2 + 
     378*T1^6*T2 - 63*T1^7*T2 + 167*T2^2 - 728*T1*T2^2 + 227*T1^2*T2^2 + 
     2733*T1^3*T2^2 - 4385*T1^4*T2^2 + 2733*T1^5*T2^2 + 227*T1^6*T2^2 - 
     728*T1^7*T2^2 + 167*T1^8*T2^2 - 221*T2^3 + 378*T1*T2^3 + 
     2733*T1^2*T2^3 - 7824*T1^3*T2^3 + 4238*T1^4*T2^3 + 4238*T1^5*T2^3 - 
     7824*T1^6*T2^3 + 2733*T1^7*T2^3 + 378*T1^8*T2^3 - 221*T1^9*T2^3 + 
     167*T2^4 + 378*T1*T2^4 - 4385*T1^2*T2^4 + 4238*T1^3*T2^4 + 
     11013*T1^4*T2^4 - 19765*T1^5*T2^4 + 11013*T1^6*T2^4 + 4238*T1^7*T2^4 - 
     4385*T1^8*T2^4 + 378*T1^9*T2^4 + 167*T1^10*T2^4 - 63*T2^5 - 
     728*T1*T2^5 + 2733*T1^2*T2^5 + 4238*T1^3*T2^5 - 19765*T1^4*T2^5 + 
     11216*T1^5*T2^5 + 11216*T1^6*T2^5 - 19765*T1^7*T2^5 + 4238*T1^8*T2^5 + 
     2733*T1^9*T2^5 - 728*T1^10*T2^5 - 63*T1^11*T2^5 + 9*T2^6 + 378*T1*T2^6 + 
     227*T1^2*T2^6 - 7824*T1^3*T2^6 + 11013*T1^4*T2^6 + 11216*T1^5*T2^6 - 
     24588*T1^6*T2^6 + 11216*T1^7*T2^6 + 11013*T1^8*T2^6 - 7824*T1^9*T2^6 + 
     227*T1^10*T2^6 + 378*T1^11*T2^6 + 9*T1^12*T2^6 - 63*T1*T2^7 - 
     728*T1^2*T2^7 + 2733*T1^3*T2^7 + 4238*T1^4*T2^7 - 19765*T1^5*T2^7 + 
     11216*T1^6*T2^7 + 11216*T1^7*T2^7 - 19765*T1^8*T2^7 + 4238*T1^9*T2^7 + 
     2733*T1^10*T2^7 - 728*T1^11*T2^7 - 63*T1^12*T2^7 + 167*T1^2*T2^8 + 
     378*T1^3*T2^8 - 4385*T1^4*T2^8 + 4238*T1^5*T2^8 + 11013*T1^6*T2^8 - 
     19765*T1^7*T2^8 + 11013*T1^8*T2^8 + 4238*T1^9*T2^8 - 4385*T1^10*T2^8 + 
     378*T1^11*T2^8 + 167*T1^12*T2^8 - 221*T1^3*T2^9 + 378*T1^4*T2^9 + 
     2733*T1^5*T2^9 - 7824*T1^6*T2^9 + 4238*T1^7*T2^9 + 4238*T1^8*T2^9 - 
     7824*T1^9*T2^9 + 2733*T1^10*T2^9 + 378*T1^11*T2^9 - 221*T1^12*T2^9 + 
     167*T1^4*T2^10 - 728*T1^5*T2^10 + 227*T1^6*T2^10 + 2733*T1^7*T2^10 - 
     4385*T1^8*T2^10 + 2733*T1^9*T2^10 + 227*T1^10*T2^10 - 728*T1^11*T2^10 + 
     167*T1^12*T2^10 - 63*T1^5*T2^11 + 378*T1^6*T2^11 - 728*T1^7*T2^11 + 
     378*T1^8*T2^11 + 378*T1^9*T2^11 - 728*T1^10*T2^11 + 378*T1^11*T2^11 - 
     63*T1^12*T2^11 + 9*T1^6*T2^12 - 63*T1^7*T2^12 + 167*T1^8*T2^12 - 
     221*T1^9*T2^12 + 167*T1^10*T2^12 - 63*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 301] -> 
  {-((3 - 20*T + 52*T^2 - 71*T^3 + 52*T^4 - 20*T^5 + 3*T^6)/T^3), 
   (3 - 19*T1 + 49*T1^2 - 69*T1^3 + 49*T1^4 - 19*T1^5 + 3*T1^6 - 19*T2 + 
     102*T1*T2 - 192*T1^2*T2 + 127*T1^3*T2 + 127*T1^4*T2 - 192*T1^5*T2 + 
     102*T1^6*T2 - 19*T1^7*T2 + 49*T2^2 - 192*T1*T2^2 + 124*T1^2*T2^2 + 
     422*T1^3*T2^2 - 1010*T1^4*T2^2 + 422*T1^5*T2^2 + 124*T1^6*T2^2 - 
     192*T1^7*T2^2 + 49*T1^8*T2^2 - 69*T2^3 + 127*T1*T2^3 + 422*T1^2*T2^3 - 
     1322*T1^3*T2^3 + 1212*T1^4*T2^3 + 1212*T1^5*T2^3 - 1322*T1^6*T2^3 + 
     422*T1^7*T2^3 + 127*T1^8*T2^3 - 69*T1^9*T2^3 + 49*T2^4 + 127*T1*T2^4 - 
     1010*T1^2*T2^4 + 1212*T1^3*T2^4 + 584*T1^4*T2^4 - 3772*T1^5*T2^4 + 
     584*T1^6*T2^4 + 1212*T1^7*T2^4 - 1010*T1^8*T2^4 + 127*T1^9*T2^4 + 
     49*T1^10*T2^4 - 19*T2^5 - 192*T1*T2^5 + 422*T1^2*T2^5 + 1212*T1^3*T2^5 - 
     3772*T1^4*T2^5 + 3950*T1^5*T2^5 + 3950*T1^6*T2^5 - 3772*T1^7*T2^5 + 
     1212*T1^8*T2^5 + 422*T1^9*T2^5 - 192*T1^10*T2^5 - 19*T1^11*T2^5 + 
     3*T2^6 + 102*T1*T2^6 + 124*T1^2*T2^6 - 1322*T1^3*T2^6 + 584*T1^4*T2^6 + 
     3950*T1^5*T2^6 - 10728*T1^6*T2^6 + 3950*T1^7*T2^6 + 584*T1^8*T2^6 - 
     1322*T1^9*T2^6 + 124*T1^10*T2^6 + 102*T1^11*T2^6 + 3*T1^12*T2^6 - 
     19*T1*T2^7 - 192*T1^2*T2^7 + 422*T1^3*T2^7 + 1212*T1^4*T2^7 - 
     3772*T1^5*T2^7 + 3950*T1^6*T2^7 + 3950*T1^7*T2^7 - 3772*T1^8*T2^7 + 
     1212*T1^9*T2^7 + 422*T1^10*T2^7 - 192*T1^11*T2^7 - 19*T1^12*T2^7 + 
     49*T1^2*T2^8 + 127*T1^3*T2^8 - 1010*T1^4*T2^8 + 1212*T1^5*T2^8 + 
     584*T1^6*T2^8 - 3772*T1^7*T2^8 + 584*T1^8*T2^8 + 1212*T1^9*T2^8 - 
     1010*T1^10*T2^8 + 127*T1^11*T2^8 + 49*T1^12*T2^8 - 69*T1^3*T2^9 + 
     127*T1^4*T2^9 + 422*T1^5*T2^9 - 1322*T1^6*T2^9 + 1212*T1^7*T2^9 + 
     1212*T1^8*T2^9 - 1322*T1^9*T2^9 + 422*T1^10*T2^9 + 127*T1^11*T2^9 - 
     69*T1^12*T2^9 + 49*T1^4*T2^10 - 192*T1^5*T2^10 + 124*T1^6*T2^10 + 
     422*T1^7*T2^10 - 1010*T1^8*T2^10 + 422*T1^9*T2^10 + 124*T1^10*T2^10 - 
     192*T1^11*T2^10 + 49*T1^12*T2^10 - 19*T1^5*T2^11 + 102*T1^6*T2^11 - 
     192*T1^7*T2^11 + 127*T1^8*T2^11 + 127*T1^9*T2^11 - 192*T1^10*T2^11 + 
     102*T1^11*T2^11 - 19*T1^12*T2^11 + 3*T1^6*T2^12 - 19*T1^7*T2^12 + 
     49*T1^8*T2^12 - 69*T1^9*T2^12 + 49*T1^10*T2^12 - 19*T1^11*T2^12 + 
     3*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 302] -> 
  {((1 - T + T^2)*(2 - 3*T + 2*T^2)^2)/T^3, 
   -((80 - 312*T1 + 636*T1^2 - 784*T1^3 + 636*T1^4 - 312*T1^5 + 80*T1^6 - 
      312*T2 + 912*T1*T2 - 1280*T1^2*T2 + 588*T1^3*T2 + 588*T1^4*T2 - 
      1280*T1^5*T2 + 912*T1^6*T2 - 312*T1^7*T2 + 636*T2^2 - 1280*T1*T2^2 + 
      968*T1^2*T2^2 + 1012*T1^3*T2^2 - 1944*T1^4*T2^2 + 1012*T1^5*T2^2 + 
      968*T1^6*T2^2 - 1280*T1^7*T2^2 + 636*T1^8*T2^2 - 784*T2^3 + 
      588*T1*T2^3 + 1012*T1^2*T2^3 - 3388*T1^3*T2^3 + 1628*T1^4*T2^3 + 
      1628*T1^5*T2^3 - 3388*T1^6*T2^3 + 1012*T1^7*T2^3 + 588*T1^8*T2^3 - 
      784*T1^9*T2^3 + 636*T2^4 + 588*T1*T2^4 - 1944*T1^2*T2^4 + 
      1628*T1^3*T2^4 + 4253*T1^4*T2^4 - 6777*T1^5*T2^4 + 4253*T1^6*T2^4 + 
      1628*T1^7*T2^4 - 1944*T1^8*T2^4 + 588*T1^9*T2^4 + 636*T1^10*T2^4 - 
      312*T2^5 - 1280*T1*T2^5 + 1012*T1^2*T2^5 + 1628*T1^3*T2^5 - 
      6777*T1^4*T2^5 + 3188*T1^5*T2^5 + 3188*T1^6*T2^5 - 6777*T1^7*T2^5 + 
      1628*T1^8*T2^5 + 1012*T1^9*T2^5 - 1280*T1^10*T2^5 - 312*T1^11*T2^5 + 
      80*T2^6 + 912*T1*T2^6 + 968*T1^2*T2^6 - 3388*T1^3*T2^6 + 
      4253*T1^4*T2^6 + 3188*T1^5*T2^6 - 6312*T1^6*T2^6 + 3188*T1^7*T2^6 + 
      4253*T1^8*T2^6 - 3388*T1^9*T2^6 + 968*T1^10*T2^6 + 912*T1^11*T2^6 + 
      80*T1^12*T2^6 - 312*T1*T2^7 - 1280*T1^2*T2^7 + 1012*T1^3*T2^7 + 
      1628*T1^4*T2^7 - 6777*T1^5*T2^7 + 3188*T1^6*T2^7 + 3188*T1^7*T2^7 - 
      6777*T1^8*T2^7 + 1628*T1^9*T2^7 + 1012*T1^10*T2^7 - 1280*T1^11*T2^7 - 
      312*T1^12*T2^7 + 636*T1^2*T2^8 + 588*T1^3*T2^8 - 1944*T1^4*T2^8 + 
      1628*T1^5*T2^8 + 4253*T1^6*T2^8 - 6777*T1^7*T2^8 + 4253*T1^8*T2^8 + 
      1628*T1^9*T2^8 - 1944*T1^10*T2^8 + 588*T1^11*T2^8 + 636*T1^12*T2^8 - 
      784*T1^3*T2^9 + 588*T1^4*T2^9 + 1012*T1^5*T2^9 - 3388*T1^6*T2^9 + 
      1628*T1^7*T2^9 + 1628*T1^8*T2^9 - 3388*T1^9*T2^9 + 1012*T1^10*T2^9 + 
      588*T1^11*T2^9 - 784*T1^12*T2^9 + 636*T1^4*T2^10 - 1280*T1^5*T2^10 + 
      968*T1^6*T2^10 + 1012*T1^7*T2^10 - 1944*T1^8*T2^10 + 1012*T1^9*T2^10 + 
      968*T1^10*T2^10 - 1280*T1^11*T2^10 + 636*T1^12*T2^10 - 312*T1^5*T2^11 + 
      912*T1^6*T2^11 - 1280*T1^7*T2^11 + 588*T1^8*T2^11 + 588*T1^9*T2^11 - 
      1280*T1^10*T2^11 + 912*T1^11*T2^11 - 312*T1^12*T2^11 + 80*T1^6*T2^12 - 
      312*T1^7*T2^12 + 636*T1^8*T2^12 - 784*T1^9*T2^12 + 636*T1^10*T2^12 - 
      312*T1^11*T2^12 + 80*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 303] -> 
  {-((2 - 14*T + 36*T^2 - 49*T^3 + 36*T^4 - 14*T^5 + 2*T^6)/T^3), 
   (1 - 7*T1 + 19*T1^2 - 27*T1^3 + 19*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
     42*T1*T2 - 84*T1^2*T2 + 56*T1^3*T2 + 56*T1^4*T2 - 84*T1^5*T2 + 
     42*T1^6*T2 - 7*T1^7*T2 + 19*T2^2 - 84*T1*T2^2 + 91*T1^2*T2^2 + 
     87*T1^3*T2^2 - 309*T1^4*T2^2 + 87*T1^5*T2^2 + 91*T1^6*T2^2 - 
     84*T1^7*T2^2 + 19*T1^8*T2^2 - 27*T2^3 + 56*T1*T2^3 + 87*T1^2*T2^3 - 
     336*T1^3*T2^3 + 374*T1^4*T2^3 + 374*T1^5*T2^3 - 336*T1^6*T2^3 + 
     87*T1^7*T2^3 + 56*T1^8*T2^3 - 27*T1^9*T2^3 + 19*T2^4 + 56*T1*T2^4 - 
     309*T1^2*T2^4 + 374*T1^3*T2^4 - 264*T1^4*T2^4 - 546*T1^5*T2^4 - 
     264*T1^6*T2^4 + 374*T1^7*T2^4 - 309*T1^8*T2^4 + 56*T1^9*T2^4 + 
     19*T1^10*T2^4 - 7*T2^5 - 84*T1*T2^5 + 87*T1^2*T2^5 + 374*T1^3*T2^5 - 
     546*T1^4*T2^5 + 882*T1^5*T2^5 + 882*T1^6*T2^5 - 546*T1^7*T2^5 + 
     374*T1^8*T2^5 + 87*T1^9*T2^5 - 84*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
     42*T1*T2^6 + 91*T1^2*T2^6 - 336*T1^3*T2^6 - 264*T1^4*T2^6 + 
     882*T1^5*T2^6 - 2544*T1^6*T2^6 + 882*T1^7*T2^6 - 264*T1^8*T2^6 - 
     336*T1^9*T2^6 + 91*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 7*T1*T2^7 - 
     84*T1^2*T2^7 + 87*T1^3*T2^7 + 374*T1^4*T2^7 - 546*T1^5*T2^7 + 
     882*T1^6*T2^7 + 882*T1^7*T2^7 - 546*T1^8*T2^7 + 374*T1^9*T2^7 + 
     87*T1^10*T2^7 - 84*T1^11*T2^7 - 7*T1^12*T2^7 + 19*T1^2*T2^8 + 
     56*T1^3*T2^8 - 309*T1^4*T2^8 + 374*T1^5*T2^8 - 264*T1^6*T2^8 - 
     546*T1^7*T2^8 - 264*T1^8*T2^8 + 374*T1^9*T2^8 - 309*T1^10*T2^8 + 
     56*T1^11*T2^8 + 19*T1^12*T2^8 - 27*T1^3*T2^9 + 56*T1^4*T2^9 + 
     87*T1^5*T2^9 - 336*T1^6*T2^9 + 374*T1^7*T2^9 + 374*T1^8*T2^9 - 
     336*T1^9*T2^9 + 87*T1^10*T2^9 + 56*T1^11*T2^9 - 27*T1^12*T2^9 + 
     19*T1^4*T2^10 - 84*T1^5*T2^10 + 91*T1^6*T2^10 + 87*T1^7*T2^10 - 
     309*T1^8*T2^10 + 87*T1^9*T2^10 + 91*T1^10*T2^10 - 84*T1^11*T2^10 + 
     19*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 84*T1^7*T2^11 + 
     56*T1^8*T2^11 + 56*T1^9*T2^11 - 84*T1^10*T2^11 + 42*T1^11*T2^11 - 
     7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 19*T1^8*T2^12 - 
     27*T1^9*T2^12 + 19*T1^10*T2^12 - 7*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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 + 84*T1*T2 - 154*T1^2*T2 + 126*T1^3*T2 - 56*T1^4*T2 - 
      56*T1^5*T2 + 126*T1^6*T2 - 154*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
      36*T2^2 - 154*T1*T2^2 + 3*T1^2*T2^2 + 526*T1^3*T2^2 - 866*T1^4*T2^2 + 
      1075*T1^5*T2^2 - 866*T1^6*T2^2 + 526*T1^7*T2^2 + 3*T1^8*T2^2 - 
      154*T1^9*T2^2 + 36*T1^10*T2^2 - 54*T2^3 + 126*T1*T2^3 + 526*T1^2*T2^3 - 
      1364*T1^3*T2^3 + 1014*T1^4*T2^3 - 527*T1^5*T2^3 - 527*T1^6*T2^3 + 
      1014*T1^7*T2^3 - 1364*T1^8*T2^3 + 526*T1^9*T2^3 + 126*T1^10*T2^3 - 
      54*T1^11*T2^3 + 62*T2^4 - 56*T1*T2^4 - 866*T1^2*T2^4 + 1014*T1^3*T2^4 + 
      813*T1^4*T2^4 - 1520*T1^5*T2^4 + 2373*T1^6*T2^4 - 1520*T1^7*T2^4 + 
      813*T1^8*T2^4 + 1014*T1^9*T2^4 - 866*T1^10*T2^4 - 56*T1^11*T2^4 + 
      62*T1^12*T2^4 - 54*T2^5 - 56*T1*T2^5 + 1075*T1^2*T2^5 - 527*T1^3*T2^5 - 
      1520*T1^4*T2^5 + 836*T1^5*T2^5 - 835*T1^6*T2^5 - 835*T1^7*T2^5 + 
      836*T1^8*T2^5 - 1520*T1^9*T2^5 - 527*T1^10*T2^5 + 1075*T1^11*T2^5 - 
      56*T1^12*T2^5 - 54*T1^13*T2^5 + 36*T2^6 + 126*T1*T2^6 - 866*T1^2*T2^6 - 
      527*T1^3*T2^6 + 2373*T1^4*T2^6 - 835*T1^5*T2^6 + 1222*T1^6*T2^6 - 
      62*T1^7*T2^6 + 1222*T1^8*T2^6 - 835*T1^9*T2^6 + 2373*T1^10*T2^6 - 
      527*T1^11*T2^6 - 866*T1^12*T2^6 + 126*T1^13*T2^6 + 36*T1^14*T2^6 - 
      14*T2^7 - 154*T1*T2^7 + 526*T1^2*T2^7 + 1014*T1^3*T2^7 - 
      1520*T1^4*T2^7 - 835*T1^5*T2^7 - 62*T1^6*T2^7 - 732*T1^7*T2^7 - 
      732*T1^8*T2^7 - 62*T1^9*T2^7 - 835*T1^10*T2^7 - 1520*T1^11*T2^7 + 
      1014*T1^12*T2^7 + 526*T1^13*T2^7 - 154*T1^14*T2^7 - 14*T1^15*T2^7 + 
      2*T2^8 + 84*T1*T2^8 + 3*T1^2*T2^8 - 1364*T1^3*T2^8 + 813*T1^4*T2^8 + 
      836*T1^5*T2^8 + 1222*T1^6*T2^8 - 732*T1^7*T2^8 + 2016*T1^8*T2^8 - 
      732*T1^9*T2^8 + 1222*T1^10*T2^8 + 836*T1^11*T2^8 + 813*T1^12*T2^8 - 
      1364*T1^13*T2^8 + 3*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 
      14*T1*T2^9 - 154*T1^2*T2^9 + 526*T1^3*T2^9 + 1014*T1^4*T2^9 - 
      1520*T1^5*T2^9 - 835*T1^6*T2^9 - 62*T1^7*T2^9 - 732*T1^8*T2^9 - 
      732*T1^9*T2^9 - 62*T1^10*T2^9 - 835*T1^11*T2^9 - 1520*T1^12*T2^9 + 
      1014*T1^13*T2^9 + 526*T1^14*T2^9 - 154*T1^15*T2^9 - 14*T1^16*T2^9 + 
      36*T1^2*T2^10 + 126*T1^3*T2^10 - 866*T1^4*T2^10 - 527*T1^5*T2^10 + 
      2373*T1^6*T2^10 - 835*T1^7*T2^10 + 1222*T1^8*T2^10 - 62*T1^9*T2^10 + 
      1222*T1^10*T2^10 - 835*T1^11*T2^10 + 2373*T1^12*T2^10 - 
      527*T1^13*T2^10 - 866*T1^14*T2^10 + 126*T1^15*T2^10 + 36*T1^16*T2^10 - 
      54*T1^3*T2^11 - 56*T1^4*T2^11 + 1075*T1^5*T2^11 - 527*T1^6*T2^11 - 
      1520*T1^7*T2^11 + 836*T1^8*T2^11 - 835*T1^9*T2^11 - 835*T1^10*T2^11 + 
      836*T1^11*T2^11 - 1520*T1^12*T2^11 - 527*T1^13*T2^11 + 
      1075*T1^14*T2^11 - 56*T1^15*T2^11 - 54*T1^16*T2^11 + 62*T1^4*T2^12 - 
      56*T1^5*T2^12 - 866*T1^6*T2^12 + 1014*T1^7*T2^12 + 813*T1^8*T2^12 - 
      1520*T1^9*T2^12 + 2373*T1^10*T2^12 - 1520*T1^11*T2^12 + 
      813*T1^12*T2^12 + 1014*T1^13*T2^12 - 866*T1^14*T2^12 - 56*T1^15*T2^12 + 
      62*T1^16*T2^12 - 54*T1^5*T2^13 + 126*T1^6*T2^13 + 526*T1^7*T2^13 - 
      1364*T1^8*T2^13 + 1014*T1^9*T2^13 - 527*T1^10*T2^13 - 527*T1^11*T2^13 + 
      1014*T1^12*T2^13 - 1364*T1^13*T2^13 + 526*T1^14*T2^13 + 
      126*T1^15*T2^13 - 54*T1^16*T2^13 + 36*T1^6*T2^14 - 154*T1^7*T2^14 + 
      3*T1^8*T2^14 + 526*T1^9*T2^14 - 866*T1^10*T2^14 + 1075*T1^11*T2^14 - 
      866*T1^12*T2^14 + 526*T1^13*T2^14 + 3*T1^14*T2^14 - 154*T1^15*T2^14 + 
      36*T1^16*T2^14 - 14*T1^7*T2^15 + 84*T1^8*T2^15 - 154*T1^9*T2^15 + 
      126*T1^10*T2^15 - 56*T1^11*T2^15 - 56*T1^12*T2^15 + 126*T1^13*T2^15 - 
      154*T1^14*T2^15 + 84*T1^15*T2^15 - 14*T1^16*T2^15 + 2*T1^8*T2^16 - 
      14*T1^9*T2^16 + 36*T1^10*T2^16 - 54*T1^11*T2^16 + 62*T1^12*T2^16 - 
      54*T1^13*T2^16 + 36*T1^14*T2^16 - 14*T1^15*T2^16 + 2*T1^16*T2^16)/
     (T1^8*T2^8))}, 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), -((1 - 7*T1 + 20*T1^2 - 35*T1^3 + 41*T1^4 - 35*T1^5 + 20*T1^6 - 
      7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 91*T1^2*T2 + 105*T1^3*T2 - 
      42*T1^4*T2 - 42*T1^5*T2 + 105*T1^6*T2 - 91*T1^7*T2 + 42*T1^8*T2 - 
      7*T1^9*T2 + 20*T2^2 - 91*T1*T2^2 + 70*T1^2*T2^2 + 172*T1^3*T2^2 - 
      565*T1^4*T2^2 + 698*T1^5*T2^2 - 565*T1^6*T2^2 + 172*T1^7*T2^2 + 
      70*T1^8*T2^2 - 91*T1^9*T2^2 + 20*T1^10*T2^2 - 35*T2^3 + 105*T1*T2^3 + 
      172*T1^2*T2^3 - 754*T1^3*T2^3 + 1105*T1^4*T2^3 - 420*T1^5*T2^3 - 
      420*T1^6*T2^3 + 1105*T1^7*T2^3 - 754*T1^8*T2^3 + 172*T1^9*T2^3 + 
      105*T1^10*T2^3 - 35*T1^11*T2^3 + 41*T2^4 - 42*T1*T2^4 - 565*T1^2*T2^4 + 
      1105*T1^3*T2^4 - 624*T1^4*T2^4 - 1242*T1^5*T2^4 + 1760*T1^6*T2^4 - 
      1242*T1^7*T2^4 - 624*T1^8*T2^4 + 1105*T1^9*T2^4 - 565*T1^10*T2^4 - 
      42*T1^11*T2^4 + 41*T1^12*T2^4 - 35*T2^5 - 42*T1*T2^5 + 698*T1^2*T2^5 - 
      420*T1^3*T2^5 - 1242*T1^4*T2^5 + 3076*T1^5*T2^5 - 1195*T1^6*T2^5 - 
      1195*T1^7*T2^5 + 3076*T1^8*T2^5 - 1242*T1^9*T2^5 - 420*T1^10*T2^5 + 
      698*T1^11*T2^5 - 42*T1^12*T2^5 - 35*T1^13*T2^5 + 20*T2^6 + 
      105*T1*T2^6 - 565*T1^2*T2^6 - 420*T1^3*T2^6 + 1760*T1^4*T2^6 - 
      1195*T1^5*T2^6 - 3445*T1^6*T2^6 + 5025*T1^7*T2^6 - 3445*T1^8*T2^6 - 
      1195*T1^9*T2^6 + 1760*T1^10*T2^6 - 420*T1^11*T2^6 - 565*T1^12*T2^6 + 
      105*T1^13*T2^6 + 20*T1^14*T2^6 - 7*T2^7 - 91*T1*T2^7 + 172*T1^2*T2^7 + 
      1105*T1^3*T2^7 - 1242*T1^4*T2^7 - 1195*T1^5*T2^7 + 5025*T1^6*T2^7 - 
      2282*T1^7*T2^7 - 2282*T1^8*T2^7 + 5025*T1^9*T2^7 - 1195*T1^10*T2^7 - 
      1242*T1^11*T2^7 + 1105*T1^12*T2^7 + 172*T1^13*T2^7 - 91*T1^14*T2^7 - 
      7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 70*T1^2*T2^8 - 754*T1^3*T2^8 - 
      624*T1^4*T2^8 + 3076*T1^5*T2^8 - 3445*T1^6*T2^8 - 2282*T1^7*T2^8 + 
      4692*T1^8*T2^8 - 2282*T1^9*T2^8 - 3445*T1^10*T2^8 + 3076*T1^11*T2^8 - 
      624*T1^12*T2^8 - 754*T1^13*T2^8 + 70*T1^14*T2^8 + 42*T1^15*T2^8 + 
      T1^16*T2^8 - 7*T1*T2^9 - 91*T1^2*T2^9 + 172*T1^3*T2^9 + 
      1105*T1^4*T2^9 - 1242*T1^5*T2^9 - 1195*T1^6*T2^9 + 5025*T1^7*T2^9 - 
      2282*T1^8*T2^9 - 2282*T1^9*T2^9 + 5025*T1^10*T2^9 - 1195*T1^11*T2^9 - 
      1242*T1^12*T2^9 + 1105*T1^13*T2^9 + 172*T1^14*T2^9 - 91*T1^15*T2^9 - 
      7*T1^16*T2^9 + 20*T1^2*T2^10 + 105*T1^3*T2^10 - 565*T1^4*T2^10 - 
      420*T1^5*T2^10 + 1760*T1^6*T2^10 - 1195*T1^7*T2^10 - 3445*T1^8*T2^10 + 
      5025*T1^9*T2^10 - 3445*T1^10*T2^10 - 1195*T1^11*T2^10 + 
      1760*T1^12*T2^10 - 420*T1^13*T2^10 - 565*T1^14*T2^10 + 
      105*T1^15*T2^10 + 20*T1^16*T2^10 - 35*T1^3*T2^11 - 42*T1^4*T2^11 + 
      698*T1^5*T2^11 - 420*T1^6*T2^11 - 1242*T1^7*T2^11 + 3076*T1^8*T2^11 - 
      1195*T1^9*T2^11 - 1195*T1^10*T2^11 + 3076*T1^11*T2^11 - 
      1242*T1^12*T2^11 - 420*T1^13*T2^11 + 698*T1^14*T2^11 - 42*T1^15*T2^11 - 
      35*T1^16*T2^11 + 41*T1^4*T2^12 - 42*T1^5*T2^12 - 565*T1^6*T2^12 + 
      1105*T1^7*T2^12 - 624*T1^8*T2^12 - 1242*T1^9*T2^12 + 1760*T1^10*T2^12 - 
      1242*T1^11*T2^12 - 624*T1^12*T2^12 + 1105*T1^13*T2^12 - 
      565*T1^14*T2^12 - 42*T1^15*T2^12 + 41*T1^16*T2^12 - 35*T1^5*T2^13 + 
      105*T1^6*T2^13 + 172*T1^7*T2^13 - 754*T1^8*T2^13 + 1105*T1^9*T2^13 - 
      420*T1^10*T2^13 - 420*T1^11*T2^13 + 1105*T1^12*T2^13 - 
      754*T1^13*T2^13 + 172*T1^14*T2^13 + 105*T1^15*T2^13 - 35*T1^16*T2^13 + 
      20*T1^6*T2^14 - 91*T1^7*T2^14 + 70*T1^8*T2^14 + 172*T1^9*T2^14 - 
      565*T1^10*T2^14 + 698*T1^11*T2^14 - 565*T1^12*T2^14 + 172*T1^13*T2^14 + 
      70*T1^14*T2^14 - 91*T1^15*T2^14 + 20*T1^16*T2^14 - 7*T1^7*T2^15 + 
      42*T1^8*T2^15 - 91*T1^9*T2^15 + 105*T1^10*T2^15 - 42*T1^11*T2^15 - 
      42*T1^12*T2^15 + 105*T1^13*T2^15 - 91*T1^14*T2^15 + 42*T1^15*T2^15 - 
      7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 20*T1^10*T2^16 - 
      35*T1^11*T2^16 + 41*T1^12*T2^16 - 35*T1^13*T2^16 + 20*T1^14*T2^16 - 
      7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 306] -> 
  {((2 - 4*T + T^2)*(1 - T + T^2)*(1 - 4*T + 2*T^2))/T^3, 
   -((9 - 63*T1 + 157*T1^2 - 201*T1^3 + 157*T1^4 - 63*T1^5 + 9*T1^6 - 63*T2 + 
      378*T1*T2 - 658*T1^2*T2 + 308*T1^3*T2 + 308*T1^4*T2 - 658*T1^5*T2 + 
      378*T1^6*T2 - 63*T1^7*T2 + 157*T2^2 - 658*T1*T2^2 - 149*T1^2*T2^2 + 
      2949*T1^3*T2^2 - 4193*T1^4*T2^2 + 2949*T1^5*T2^2 - 149*T1^6*T2^2 - 
      658*T1^7*T2^2 + 157*T1^8*T2^2 - 201*T2^3 + 308*T1*T2^3 + 
      2949*T1^2*T2^3 - 6926*T1^3*T2^3 + 3216*T1^4*T2^3 + 3216*T1^5*T2^3 - 
      6926*T1^6*T2^3 + 2949*T1^7*T2^3 + 308*T1^8*T2^3 - 201*T1^9*T2^3 + 
      157*T2^4 + 308*T1*T2^4 - 4193*T1^2*T2^4 + 3216*T1^3*T2^4 + 
      9206*T1^4*T2^4 - 14672*T1^5*T2^4 + 9206*T1^6*T2^4 + 3216*T1^7*T2^4 - 
      4193*T1^8*T2^4 + 308*T1^9*T2^4 + 157*T1^10*T2^4 - 63*T2^5 - 
      658*T1*T2^5 + 2949*T1^2*T2^5 + 3216*T1^3*T2^5 - 14672*T1^4*T2^5 + 
      7222*T1^5*T2^5 + 7222*T1^6*T2^5 - 14672*T1^7*T2^5 + 3216*T1^8*T2^5 + 
      2949*T1^9*T2^5 - 658*T1^10*T2^5 - 63*T1^11*T2^5 + 9*T2^6 + 
      378*T1*T2^6 - 149*T1^2*T2^6 - 6926*T1^3*T2^6 + 9206*T1^4*T2^6 + 
      7222*T1^5*T2^6 - 14952*T1^6*T2^6 + 7222*T1^7*T2^6 + 9206*T1^8*T2^6 - 
      6926*T1^9*T2^6 - 149*T1^10*T2^6 + 378*T1^11*T2^6 + 9*T1^12*T2^6 - 
      63*T1*T2^7 - 658*T1^2*T2^7 + 2949*T1^3*T2^7 + 3216*T1^4*T2^7 - 
      14672*T1^5*T2^7 + 7222*T1^6*T2^7 + 7222*T1^7*T2^7 - 14672*T1^8*T2^7 + 
      3216*T1^9*T2^7 + 2949*T1^10*T2^7 - 658*T1^11*T2^7 - 63*T1^12*T2^7 + 
      157*T1^2*T2^8 + 308*T1^3*T2^8 - 4193*T1^4*T2^8 + 3216*T1^5*T2^8 + 
      9206*T1^6*T2^8 - 14672*T1^7*T2^8 + 9206*T1^8*T2^8 + 3216*T1^9*T2^8 - 
      4193*T1^10*T2^8 + 308*T1^11*T2^8 + 157*T1^12*T2^8 - 201*T1^3*T2^9 + 
      308*T1^4*T2^9 + 2949*T1^5*T2^9 - 6926*T1^6*T2^9 + 3216*T1^7*T2^9 + 
      3216*T1^8*T2^9 - 6926*T1^9*T2^9 + 2949*T1^10*T2^9 + 308*T1^11*T2^9 - 
      201*T1^12*T2^9 + 157*T1^4*T2^10 - 658*T1^5*T2^10 - 149*T1^6*T2^10 + 
      2949*T1^7*T2^10 - 4193*T1^8*T2^10 + 2949*T1^9*T2^10 - 149*T1^10*T2^10 - 
      658*T1^11*T2^10 + 157*T1^12*T2^10 - 63*T1^5*T2^11 + 378*T1^6*T2^11 - 
      658*T1^7*T2^11 + 308*T1^8*T2^11 + 308*T1^9*T2^11 - 658*T1^10*T2^11 + 
      378*T1^11*T2^11 - 63*T1^12*T2^11 + 9*T1^6*T2^12 - 63*T1^7*T2^12 + 
      157*T1^8*T2^12 - 201*T1^9*T2^12 + 157*T1^10*T2^12 - 63*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 307] -> 
  {-((2 - 14*T + 37*T^2 - 51*T^3 + 37*T^4 - 14*T^5 + 2*T^6)/T^3), 
   -((1 - 7*T1 + 19*T1^2 - 27*T1^3 + 19*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 84*T1^2*T2 + 56*T1^3*T2 + 56*T1^4*T2 - 84*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 19*T2^2 - 84*T1*T2^2 - 5*T1^2*T2^2 + 
      439*T1^3*T2^2 - 835*T1^4*T2^2 + 439*T1^5*T2^2 - 5*T1^6*T2^2 - 
      84*T1^7*T2^2 + 19*T1^8*T2^2 - 27*T2^3 + 56*T1*T2^3 + 439*T1^2*T2^3 - 
      1302*T1^3*T2^3 + 1032*T1^4*T2^3 + 1032*T1^5*T2^3 - 1302*T1^6*T2^3 + 
      439*T1^7*T2^3 + 56*T1^8*T2^3 - 27*T1^9*T2^3 + 19*T2^4 + 56*T1*T2^4 - 
      835*T1^2*T2^4 + 1032*T1^3*T2^4 + 1318*T1^4*T2^4 - 4208*T1^5*T2^4 + 
      1318*T1^6*T2^4 + 1032*T1^7*T2^4 - 835*T1^8*T2^4 + 56*T1^9*T2^4 + 
      19*T1^10*T2^4 - 7*T2^5 - 84*T1*T2^5 + 439*T1^2*T2^5 + 1032*T1^3*T2^5 - 
      4208*T1^4*T2^5 + 3722*T1^5*T2^5 + 3722*T1^6*T2^5 - 4208*T1^7*T2^5 + 
      1032*T1^8*T2^5 + 439*T1^9*T2^5 - 84*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 - 5*T1^2*T2^6 - 1302*T1^3*T2^6 + 1318*T1^4*T2^6 + 
      3722*T1^5*T2^6 - 9696*T1^6*T2^6 + 3722*T1^7*T2^6 + 1318*T1^8*T2^6 - 
      1302*T1^9*T2^6 - 5*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 84*T1^2*T2^7 + 439*T1^3*T2^7 + 1032*T1^4*T2^7 - 
      4208*T1^5*T2^7 + 3722*T1^6*T2^7 + 3722*T1^7*T2^7 - 4208*T1^8*T2^7 + 
      1032*T1^9*T2^7 + 439*T1^10*T2^7 - 84*T1^11*T2^7 - 7*T1^12*T2^7 + 
      19*T1^2*T2^8 + 56*T1^3*T2^8 - 835*T1^4*T2^8 + 1032*T1^5*T2^8 + 
      1318*T1^6*T2^8 - 4208*T1^7*T2^8 + 1318*T1^8*T2^8 + 1032*T1^9*T2^8 - 
      835*T1^10*T2^8 + 56*T1^11*T2^8 + 19*T1^12*T2^8 - 27*T1^3*T2^9 + 
      56*T1^4*T2^9 + 439*T1^5*T2^9 - 1302*T1^6*T2^9 + 1032*T1^7*T2^9 + 
      1032*T1^8*T2^9 - 1302*T1^9*T2^9 + 439*T1^10*T2^9 + 56*T1^11*T2^9 - 
      27*T1^12*T2^9 + 19*T1^4*T2^10 - 84*T1^5*T2^10 - 5*T1^6*T2^10 + 
      439*T1^7*T2^10 - 835*T1^8*T2^10 + 439*T1^9*T2^10 - 5*T1^10*T2^10 - 
      84*T1^11*T2^10 + 19*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      84*T1^7*T2^11 + 56*T1^8*T2^11 + 56*T1^9*T2^11 - 84*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      19*T1^8*T2^12 - 27*T1^9*T2^12 + 19*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 308] -> 
  {-((2 - 16*T + 48*T^2 - 69*T^3 + 48*T^4 - 16*T^5 + 2*T^6)/T^3), 
   (1 - 8*T1 + 24*T1^2 - 35*T1^3 + 24*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
     56*T1*T2 - 128*T1^2*T2 + 88*T1^3*T2 + 88*T1^4*T2 - 128*T1^5*T2 + 
     56*T1^6*T2 - 8*T1^7*T2 + 24*T2^2 - 128*T1*T2^2 + 64*T1^2*T2^2 + 
     622*T1^3*T2^2 - 1284*T1^4*T2^2 + 622*T1^5*T2^2 + 64*T1^6*T2^2 - 
     128*T1^7*T2^2 + 24*T1^8*T2^2 - 35*T2^3 + 88*T1*T2^3 + 622*T1^2*T2^3 - 
     2346*T1^3*T2^3 + 1938*T1^4*T2^3 + 1938*T1^5*T2^3 - 2346*T1^6*T2^3 + 
     622*T1^7*T2^3 + 88*T1^8*T2^3 - 35*T1^9*T2^3 + 24*T2^4 + 88*T1*T2^4 - 
     1284*T1^2*T2^4 + 1938*T1^3*T2^4 + 3460*T1^4*T2^4 - 9964*T1^5*T2^4 + 
     3460*T1^6*T2^4 + 1938*T1^7*T2^4 - 1284*T1^8*T2^4 + 88*T1^9*T2^4 + 
     24*T1^10*T2^4 - 8*T2^5 - 128*T1*T2^5 + 622*T1^2*T2^5 + 1938*T1^3*T2^5 - 
     9964*T1^4*T2^5 + 8940*T1^5*T2^5 + 8940*T1^6*T2^5 - 9964*T1^7*T2^5 + 
     1938*T1^8*T2^5 + 622*T1^9*T2^5 - 128*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
     56*T1*T2^6 + 64*T1^2*T2^6 - 2346*T1^3*T2^6 + 3460*T1^4*T2^6 + 
     8940*T1^5*T2^6 - 23784*T1^6*T2^6 + 8940*T1^7*T2^6 + 3460*T1^8*T2^6 - 
     2346*T1^9*T2^6 + 64*T1^10*T2^6 + 56*T1^11*T2^6 + T1^12*T2^6 - 
     8*T1*T2^7 - 128*T1^2*T2^7 + 622*T1^3*T2^7 + 1938*T1^4*T2^7 - 
     9964*T1^5*T2^7 + 8940*T1^6*T2^7 + 8940*T1^7*T2^7 - 9964*T1^8*T2^7 + 
     1938*T1^9*T2^7 + 622*T1^10*T2^7 - 128*T1^11*T2^7 - 8*T1^12*T2^7 + 
     24*T1^2*T2^8 + 88*T1^3*T2^8 - 1284*T1^4*T2^8 + 1938*T1^5*T2^8 + 
     3460*T1^6*T2^8 - 9964*T1^7*T2^8 + 3460*T1^8*T2^8 + 1938*T1^9*T2^8 - 
     1284*T1^10*T2^8 + 88*T1^11*T2^8 + 24*T1^12*T2^8 - 35*T1^3*T2^9 + 
     88*T1^4*T2^9 + 622*T1^5*T2^9 - 2346*T1^6*T2^9 + 1938*T1^7*T2^9 + 
     1938*T1^8*T2^9 - 2346*T1^9*T2^9 + 622*T1^10*T2^9 + 88*T1^11*T2^9 - 
     35*T1^12*T2^9 + 24*T1^4*T2^10 - 128*T1^5*T2^10 + 64*T1^6*T2^10 + 
     622*T1^7*T2^10 - 1284*T1^8*T2^10 + 622*T1^9*T2^10 + 64*T1^10*T2^10 - 
     128*T1^11*T2^10 + 24*T1^12*T2^10 - 8*T1^5*T2^11 + 56*T1^6*T2^11 - 
     128*T1^7*T2^11 + 88*T1^8*T2^11 + 88*T1^9*T2^11 - 128*T1^10*T2^11 + 
     56*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
     24*T1^8*T2^12 - 35*T1^9*T2^12 + 24*T1^10*T2^12 - 8*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 309] -> 
  {-(((1 - 3*T + T^2)*(3 - 3*T + T^2)*(1 - 3*T + 3*T^2))/T^3), 
   -((3 - 21*T1 + 61*T1^2 - 89*T1^3 + 61*T1^4 - 21*T1^5 + 3*T1^6 - 21*T2 + 
      128*T1*T2 - 286*T1^2*T2 + 199*T1^3*T2 + 199*T1^4*T2 - 286*T1^5*T2 + 
      128*T1^6*T2 - 21*T1^7*T2 + 61*T2^2 - 286*T1*T2^2 + 254*T1^2*T2^2 + 
      888*T1^3*T2^2 - 2086*T1^4*T2^2 + 888*T1^5*T2^2 + 254*T1^6*T2^2 - 
      286*T1^7*T2^2 + 61*T1^8*T2^2 - 89*T2^3 + 199*T1*T2^3 + 888*T1^2*T2^3 - 
      3592*T1^3*T2^3 + 3081*T1^4*T2^3 + 3081*T1^5*T2^3 - 3592*T1^6*T2^3 + 
      888*T1^7*T2^3 + 199*T1^8*T2^3 - 89*T1^9*T2^3 + 61*T2^4 + 199*T1*T2^4 - 
      2086*T1^2*T2^4 + 3081*T1^3*T2^4 + 4550*T1^4*T2^4 - 14110*T1^5*T2^4 + 
      4550*T1^6*T2^4 + 3081*T1^7*T2^4 - 2086*T1^8*T2^4 + 199*T1^9*T2^4 + 
      61*T1^10*T2^4 - 21*T2^5 - 286*T1*T2^5 + 888*T1^2*T2^5 + 
      3081*T1^3*T2^5 - 14110*T1^4*T2^5 + 12636*T1^5*T2^5 + 12636*T1^6*T2^5 - 
      14110*T1^7*T2^5 + 3081*T1^8*T2^5 + 888*T1^9*T2^5 - 286*T1^10*T2^5 - 
      21*T1^11*T2^5 + 3*T2^6 + 128*T1*T2^6 + 254*T1^2*T2^6 - 3592*T1^3*T2^6 + 
      4550*T1^4*T2^6 + 12636*T1^5*T2^6 - 33228*T1^6*T2^6 + 12636*T1^7*T2^6 + 
      4550*T1^8*T2^6 - 3592*T1^9*T2^6 + 254*T1^10*T2^6 + 128*T1^11*T2^6 + 
      3*T1^12*T2^6 - 21*T1*T2^7 - 286*T1^2*T2^7 + 888*T1^3*T2^7 + 
      3081*T1^4*T2^7 - 14110*T1^5*T2^7 + 12636*T1^6*T2^7 + 12636*T1^7*T2^7 - 
      14110*T1^8*T2^7 + 3081*T1^9*T2^7 + 888*T1^10*T2^7 - 286*T1^11*T2^7 - 
      21*T1^12*T2^7 + 61*T1^2*T2^8 + 199*T1^3*T2^8 - 2086*T1^4*T2^8 + 
      3081*T1^5*T2^8 + 4550*T1^6*T2^8 - 14110*T1^7*T2^8 + 4550*T1^8*T2^8 + 
      3081*T1^9*T2^8 - 2086*T1^10*T2^8 + 199*T1^11*T2^8 + 61*T1^12*T2^8 - 
      89*T1^3*T2^9 + 199*T1^4*T2^9 + 888*T1^5*T2^9 - 3592*T1^6*T2^9 + 
      3081*T1^7*T2^9 + 3081*T1^8*T2^9 - 3592*T1^9*T2^9 + 888*T1^10*T2^9 + 
      199*T1^11*T2^9 - 89*T1^12*T2^9 + 61*T1^4*T2^10 - 286*T1^5*T2^10 + 
      254*T1^6*T2^10 + 888*T1^7*T2^10 - 2086*T1^8*T2^10 + 888*T1^9*T2^10 + 
      254*T1^10*T2^10 - 286*T1^11*T2^10 + 61*T1^12*T2^10 - 21*T1^5*T2^11 + 
      128*T1^6*T2^11 - 286*T1^7*T2^11 + 199*T1^8*T2^11 + 199*T1^9*T2^11 - 
      286*T1^10*T2^11 + 128*T1^11*T2^11 - 21*T1^12*T2^11 + 3*T1^6*T2^12 - 
      21*T1^7*T2^12 + 61*T1^8*T2^12 - 89*T1^9*T2^12 + 61*T1^10*T2^12 - 
      21*T1^11*T2^12 + 3*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   (1 - 5*T1 + 14*T1^2 - 21*T1^3 + 14*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     22*T1*T2 - 53*T1^2*T2 + 39*T1^3*T2 + 39*T1^4*T2 - 53*T1^5*T2 + 
     22*T1^6*T2 - 5*T1^7*T2 + 14*T2^2 - 53*T1*T2^2 + 86*T1^2*T2^2 + 
     73*T1^3*T2^2 - 246*T1^4*T2^2 + 73*T1^5*T2^2 + 86*T1^6*T2^2 - 
     53*T1^7*T2^2 + 14*T1^8*T2^2 - 21*T2^3 + 39*T1*T2^3 + 73*T1^2*T2^3 - 
     490*T1^3*T2^3 + 375*T1^4*T2^3 + 375*T1^5*T2^3 - 490*T1^6*T2^3 + 
     73*T1^7*T2^3 + 39*T1^8*T2^3 - 21*T1^9*T2^3 + 14*T2^4 + 39*T1*T2^4 - 
     246*T1^2*T2^4 + 375*T1^3*T2^4 + 802*T1^4*T2^4 - 1752*T1^5*T2^4 + 
     802*T1^6*T2^4 + 375*T1^7*T2^4 - 246*T1^8*T2^4 + 39*T1^9*T2^4 + 
     14*T1^10*T2^4 - 5*T2^5 - 53*T1*T2^5 + 73*T1^2*T2^5 + 375*T1^3*T2^5 - 
     1752*T1^4*T2^5 + 1138*T1^5*T2^5 + 1138*T1^6*T2^5 - 1752*T1^7*T2^5 + 
     375*T1^8*T2^5 + 73*T1^9*T2^5 - 53*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     22*T1*T2^6 + 86*T1^2*T2^6 - 490*T1^3*T2^6 + 802*T1^4*T2^6 + 
     1138*T1^5*T2^6 - 2556*T1^6*T2^6 + 1138*T1^7*T2^6 + 802*T1^8*T2^6 - 
     490*T1^9*T2^6 + 86*T1^10*T2^6 + 22*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     53*T1^2*T2^7 + 73*T1^3*T2^7 + 375*T1^4*T2^7 - 1752*T1^5*T2^7 + 
     1138*T1^6*T2^7 + 1138*T1^7*T2^7 - 1752*T1^8*T2^7 + 375*T1^9*T2^7 + 
     73*T1^10*T2^7 - 53*T1^11*T2^7 - 5*T1^12*T2^7 + 14*T1^2*T2^8 + 
     39*T1^3*T2^8 - 246*T1^4*T2^8 + 375*T1^5*T2^8 + 802*T1^6*T2^8 - 
     1752*T1^7*T2^8 + 802*T1^8*T2^8 + 375*T1^9*T2^8 - 246*T1^10*T2^8 + 
     39*T1^11*T2^8 + 14*T1^12*T2^8 - 21*T1^3*T2^9 + 39*T1^4*T2^9 + 
     73*T1^5*T2^9 - 490*T1^6*T2^9 + 375*T1^7*T2^9 + 375*T1^8*T2^9 - 
     490*T1^9*T2^9 + 73*T1^10*T2^9 + 39*T1^11*T2^9 - 21*T1^12*T2^9 + 
     14*T1^4*T2^10 - 53*T1^5*T2^10 + 86*T1^6*T2^10 + 73*T1^7*T2^10 - 
     246*T1^8*T2^10 + 73*T1^9*T2^10 + 86*T1^10*T2^10 - 53*T1^11*T2^10 + 
     14*T1^12*T2^10 - 5*T1^5*T2^11 + 22*T1^6*T2^11 - 53*T1^7*T2^11 + 
     39*T1^8*T2^11 + 39*T1^9*T2^11 - 53*T1^10*T2^11 + 22*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 14*T1^8*T2^12 - 
     21*T1^9*T2^12 + 14*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 311] -> 
  {-((5 - 23*T + 42*T^2 - 49*T^3 + 42*T^4 - 23*T^5 + 5*T^6)/T^3), 
   -((270 - 1230*T1 + 2209*T1^2 - 2560*T1^3 + 2209*T1^4 - 1230*T1^5 + 
      270*T1^6 - 1230*T2 + 4392*T1*T2 - 4513*T1^2*T2 + 1629*T1^3*T2 + 
      1629*T1^4*T2 - 4513*T1^5*T2 + 4392*T1^6*T2 - 1230*T1^7*T2 + 2209*T2^2 - 
      4513*T1*T2^2 - 5233*T1^2*T2^2 + 15423*T1^3*T2^2 - 17969*T1^4*T2^2 + 
      15423*T1^5*T2^2 - 5233*T1^6*T2^2 - 4513*T1^7*T2^2 + 2209*T1^8*T2^2 - 
      2560*T2^3 + 1629*T1*T2^3 + 15423*T1^2*T2^3 - 17156*T1^3*T2^3 + 
      5316*T1^4*T2^3 + 5316*T1^5*T2^3 - 17156*T1^6*T2^3 + 15423*T1^7*T2^3 + 
      1629*T1^8*T2^3 - 2560*T1^9*T2^3 + 2209*T2^4 + 1629*T1*T2^4 - 
      17969*T1^2*T2^4 + 5316*T1^3*T2^4 + 9608*T1^4*T2^4 - 10726*T1^5*T2^4 + 
      9608*T1^6*T2^4 + 5316*T1^7*T2^4 - 17969*T1^8*T2^4 + 1629*T1^9*T2^4 + 
      2209*T1^10*T2^4 - 1230*T2^5 - 4513*T1*T2^5 + 15423*T1^2*T2^5 + 
      5316*T1^3*T2^5 - 10726*T1^4*T2^5 + 1872*T1^5*T2^5 + 1872*T1^6*T2^5 - 
      10726*T1^7*T2^5 + 5316*T1^8*T2^5 + 15423*T1^9*T2^5 - 4513*T1^10*T2^5 - 
      1230*T1^11*T2^5 + 270*T2^6 + 4392*T1*T2^6 - 5233*T1^2*T2^6 - 
      17156*T1^3*T2^6 + 9608*T1^4*T2^6 + 1872*T1^5*T2^6 - 996*T1^6*T2^6 + 
      1872*T1^7*T2^6 + 9608*T1^8*T2^6 - 17156*T1^9*T2^6 - 5233*T1^10*T2^6 + 
      4392*T1^11*T2^6 + 270*T1^12*T2^6 - 1230*T1*T2^7 - 4513*T1^2*T2^7 + 
      15423*T1^3*T2^7 + 5316*T1^4*T2^7 - 10726*T1^5*T2^7 + 1872*T1^6*T2^7 + 
      1872*T1^7*T2^7 - 10726*T1^8*T2^7 + 5316*T1^9*T2^7 + 15423*T1^10*T2^7 - 
      4513*T1^11*T2^7 - 1230*T1^12*T2^7 + 2209*T1^2*T2^8 + 1629*T1^3*T2^8 - 
      17969*T1^4*T2^8 + 5316*T1^5*T2^8 + 9608*T1^6*T2^8 - 10726*T1^7*T2^8 + 
      9608*T1^8*T2^8 + 5316*T1^9*T2^8 - 17969*T1^10*T2^8 + 1629*T1^11*T2^8 + 
      2209*T1^12*T2^8 - 2560*T1^3*T2^9 + 1629*T1^4*T2^9 + 15423*T1^5*T2^9 - 
      17156*T1^6*T2^9 + 5316*T1^7*T2^9 + 5316*T1^8*T2^9 - 17156*T1^9*T2^9 + 
      15423*T1^10*T2^9 + 1629*T1^11*T2^9 - 2560*T1^12*T2^9 + 
      2209*T1^4*T2^10 - 4513*T1^5*T2^10 - 5233*T1^6*T2^10 + 
      15423*T1^7*T2^10 - 17969*T1^8*T2^10 + 15423*T1^9*T2^10 - 
      5233*T1^10*T2^10 - 4513*T1^11*T2^10 + 2209*T1^12*T2^10 - 
      1230*T1^5*T2^11 + 4392*T1^6*T2^11 - 4513*T1^7*T2^11 + 1629*T1^8*T2^11 + 
      1629*T1^9*T2^11 - 4513*T1^10*T2^11 + 4392*T1^11*T2^11 - 
      1230*T1^12*T2^11 + 270*T1^6*T2^12 - 1230*T1^7*T2^12 + 2209*T1^8*T2^12 - 
      2560*T1^9*T2^12 + 2209*T1^10*T2^12 - 1230*T1^11*T2^12 + 
      270*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 312] -> 
  {-((9 - 40*T + 61*T^2 - 40*T^3 + 9*T^4)/T^2), 
   -((999 - 4426*T1 + 6709*T1^2 - 4426*T1^3 + 999*T1^4 - 4426*T2 + 
      15210*T1*T2 - 10150*T1^2*T2 - 10150*T1^3*T2 + 15210*T1^4*T2 - 
      4426*T1^5*T2 + 6709*T2^2 - 10150*T1*T2^2 - 34939*T1^2*T2^2 + 
      72123*T1^3*T2^2 - 34939*T1^4*T2^2 - 10150*T1^5*T2^2 + 6709*T1^6*T2^2 - 
      4426*T2^3 - 10150*T1*T2^3 + 72123*T1^2*T2^3 - 52828*T1^3*T2^3 - 
      52828*T1^4*T2^3 + 72123*T1^5*T2^3 - 10150*T1^6*T2^3 - 4426*T1^7*T2^3 + 
      999*T2^4 + 15210*T1*T2^4 - 34939*T1^2*T2^4 - 52828*T1^3*T2^4 + 
      131268*T1^4*T2^4 - 52828*T1^5*T2^4 - 34939*T1^6*T2^4 + 
      15210*T1^7*T2^4 + 999*T1^8*T2^4 - 4426*T1*T2^5 - 10150*T1^2*T2^5 + 
      72123*T1^3*T2^5 - 52828*T1^4*T2^5 - 52828*T1^5*T2^5 + 72123*T1^6*T2^5 - 
      10150*T1^7*T2^5 - 4426*T1^8*T2^5 + 6709*T1^2*T2^6 - 10150*T1^3*T2^6 - 
      34939*T1^4*T2^6 + 72123*T1^5*T2^6 - 34939*T1^6*T2^6 - 10150*T1^7*T2^6 + 
      6709*T1^8*T2^6 - 4426*T1^3*T2^7 + 15210*T1^4*T2^7 - 10150*T1^5*T2^7 - 
      10150*T1^6*T2^7 + 15210*T1^7*T2^7 - 4426*T1^8*T2^7 + 999*T1^4*T2^8 - 
      4426*T1^5*T2^8 + 6709*T1^6*T2^8 - 4426*T1^7*T2^8 + 999*T1^8*T2^8)/
     (T1^4*T2^4))}, 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*(40 - 194*T1 + 462*T1^2 - 604*T1^3 + 462*T1^4 - 194*T1^5 + 40*T1^6 - 
      194*T2 + 748*T1*T2 - 1300*T1^2*T2 + 689*T1^3*T2 + 689*T1^4*T2 - 
      1300*T1^5*T2 + 748*T1^6*T2 - 194*T1^7*T2 + 462*T2^2 - 1300*T1*T2^2 + 
      1224*T1^2*T2^2 + 1676*T1^3*T2^2 - 3580*T1^4*T2^2 + 1676*T1^5*T2^2 + 
      1224*T1^6*T2^2 - 1300*T1^7*T2^2 + 462*T1^8*T2^2 - 604*T2^3 + 
      689*T1*T2^3 + 1676*T1^2*T2^3 - 6561*T1^3*T2^3 + 3974*T1^4*T2^3 + 
      3974*T1^5*T2^3 - 6561*T1^6*T2^3 + 1676*T1^7*T2^3 + 689*T1^8*T2^3 - 
      604*T1^9*T2^3 + 462*T2^4 + 689*T1*T2^4 - 3580*T1^2*T2^4 + 
      3974*T1^3*T2^4 + 9037*T1^4*T2^4 - 17664*T1^5*T2^4 + 9037*T1^6*T2^4 + 
      3974*T1^7*T2^4 - 3580*T1^8*T2^4 + 689*T1^9*T2^4 + 462*T1^10*T2^4 - 
      194*T2^5 - 1300*T1*T2^5 + 1676*T1^2*T2^5 + 3974*T1^3*T2^5 - 
      17664*T1^4*T2^5 + 10803*T1^5*T2^5 + 10803*T1^6*T2^5 - 17664*T1^7*T2^5 + 
      3974*T1^8*T2^5 + 1676*T1^9*T2^5 - 1300*T1^10*T2^5 - 194*T1^11*T2^5 + 
      40*T2^6 + 748*T1*T2^6 + 1224*T1^2*T2^6 - 6561*T1^3*T2^6 + 
      9037*T1^4*T2^6 + 10803*T1^5*T2^6 - 24342*T1^6*T2^6 + 10803*T1^7*T2^6 + 
      9037*T1^8*T2^6 - 6561*T1^9*T2^6 + 1224*T1^10*T2^6 + 748*T1^11*T2^6 + 
      40*T1^12*T2^6 - 194*T1*T2^7 - 1300*T1^2*T2^7 + 1676*T1^3*T2^7 + 
      3974*T1^4*T2^7 - 17664*T1^5*T2^7 + 10803*T1^6*T2^7 + 10803*T1^7*T2^7 - 
      17664*T1^8*T2^7 + 3974*T1^9*T2^7 + 1676*T1^10*T2^7 - 1300*T1^11*T2^7 - 
      194*T1^12*T2^7 + 462*T1^2*T2^8 + 689*T1^3*T2^8 - 3580*T1^4*T2^8 + 
      3974*T1^5*T2^8 + 9037*T1^6*T2^8 - 17664*T1^7*T2^8 + 9037*T1^8*T2^8 + 
      3974*T1^9*T2^8 - 3580*T1^10*T2^8 + 689*T1^11*T2^8 + 462*T1^12*T2^8 - 
      604*T1^3*T2^9 + 689*T1^4*T2^9 + 1676*T1^5*T2^9 - 6561*T1^6*T2^9 + 
      3974*T1^7*T2^9 + 3974*T1^8*T2^9 - 6561*T1^9*T2^9 + 1676*T1^10*T2^9 + 
      689*T1^11*T2^9 - 604*T1^12*T2^9 + 462*T1^4*T2^10 - 1300*T1^5*T2^10 + 
      1224*T1^6*T2^10 + 1676*T1^7*T2^10 - 3580*T1^8*T2^10 + 1676*T1^9*T2^10 + 
      1224*T1^10*T2^10 - 1300*T1^11*T2^10 + 462*T1^12*T2^10 - 
      194*T1^5*T2^11 + 748*T1^6*T2^11 - 1300*T1^7*T2^11 + 689*T1^8*T2^11 + 
      689*T1^9*T2^11 - 1300*T1^10*T2^11 + 748*T1^11*T2^11 - 194*T1^12*T2^11 + 
      40*T1^6*T2^12 - 194*T1^7*T2^12 + 462*T1^8*T2^12 - 604*T1^9*T2^12 + 
      462*T1^10*T2^12 - 194*T1^11*T2^12 + 40*T1^12*T2^12))/(T1^6*T2^6)}, 
 Knot[12, Alternating, 314] -> 
  {-((3 - 21*T + 51*T^2 - 67*T^3 + 51*T^4 - 21*T^5 + 3*T^6)/T^3), 
   -((57 - 396*T1 + 951*T1^2 - 1245*T1^3 + 951*T1^4 - 396*T1^5 + 57*T1^6 - 
      396*T2 + 2358*T1*T2 - 3872*T1^2*T2 + 2054*T1^3*T2 + 2054*T1^4*T2 - 
      3872*T1^5*T2 + 2358*T1^6*T2 - 396*T1^7*T2 + 951*T2^2 - 3872*T1*T2^2 - 
      1973*T1^2*T2^2 + 17812*T1^3*T2^2 - 27477*T1^4*T2^2 + 17812*T1^5*T2^2 - 
      1973*T1^6*T2^2 - 3872*T1^7*T2^2 + 951*T1^8*T2^2 - 1245*T2^3 + 
      2054*T1*T2^3 + 17812*T1^2*T2^3 - 37596*T1^3*T2^3 + 21645*T1^4*T2^3 + 
      21645*T1^5*T2^3 - 37596*T1^6*T2^3 + 17812*T1^7*T2^3 + 2054*T1^8*T2^3 - 
      1245*T1^9*T2^3 + 951*T2^4 + 2054*T1*T2^4 - 27477*T1^2*T2^4 + 
      21645*T1^3*T2^4 + 33537*T1^4*T2^4 - 72941*T1^5*T2^4 + 33537*T1^6*T2^4 + 
      21645*T1^7*T2^4 - 27477*T1^8*T2^4 + 2054*T1^9*T2^4 + 951*T1^10*T2^4 - 
      396*T2^5 - 3872*T1*T2^5 + 17812*T1^2*T2^5 + 21645*T1^3*T2^5 - 
      72941*T1^4*T2^5 + 46656*T1^5*T2^5 + 46656*T1^6*T2^5 - 72941*T1^7*T2^5 + 
      21645*T1^8*T2^5 + 17812*T1^9*T2^5 - 3872*T1^10*T2^5 - 396*T1^11*T2^5 + 
      57*T2^6 + 2358*T1*T2^6 - 1973*T1^2*T2^6 - 37596*T1^3*T2^6 + 
      33537*T1^4*T2^6 + 46656*T1^5*T2^6 - 106584*T1^6*T2^6 + 
      46656*T1^7*T2^6 + 33537*T1^8*T2^6 - 37596*T1^9*T2^6 - 1973*T1^10*T2^6 + 
      2358*T1^11*T2^6 + 57*T1^12*T2^6 - 396*T1*T2^7 - 3872*T1^2*T2^7 + 
      17812*T1^3*T2^7 + 21645*T1^4*T2^7 - 72941*T1^5*T2^7 + 46656*T1^6*T2^7 + 
      46656*T1^7*T2^7 - 72941*T1^8*T2^7 + 21645*T1^9*T2^7 + 
      17812*T1^10*T2^7 - 3872*T1^11*T2^7 - 396*T1^12*T2^7 + 951*T1^2*T2^8 + 
      2054*T1^3*T2^8 - 27477*T1^4*T2^8 + 21645*T1^5*T2^8 + 33537*T1^6*T2^8 - 
      72941*T1^7*T2^8 + 33537*T1^8*T2^8 + 21645*T1^9*T2^8 - 
      27477*T1^10*T2^8 + 2054*T1^11*T2^8 + 951*T1^12*T2^8 - 1245*T1^3*T2^9 + 
      2054*T1^4*T2^9 + 17812*T1^5*T2^9 - 37596*T1^6*T2^9 + 21645*T1^7*T2^9 + 
      21645*T1^8*T2^9 - 37596*T1^9*T2^9 + 17812*T1^10*T2^9 + 
      2054*T1^11*T2^9 - 1245*T1^12*T2^9 + 951*T1^4*T2^10 - 3872*T1^5*T2^10 - 
      1973*T1^6*T2^10 + 17812*T1^7*T2^10 - 27477*T1^8*T2^10 + 
      17812*T1^9*T2^10 - 1973*T1^10*T2^10 - 3872*T1^11*T2^10 + 
      951*T1^12*T2^10 - 396*T1^5*T2^11 + 2358*T1^6*T2^11 - 3872*T1^7*T2^11 + 
      2054*T1^8*T2^11 + 2054*T1^9*T2^11 - 3872*T1^10*T2^11 + 
      2358*T1^11*T2^11 - 396*T1^12*T2^11 + 57*T1^6*T2^12 - 396*T1^7*T2^12 + 
      951*T1^8*T2^12 - 1245*T1^9*T2^12 + 951*T1^10*T2^12 - 396*T1^11*T2^12 + 
      57*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 315] -> 
  {-((5 - 24*T + 50*T^2 - 63*T^3 + 50*T^4 - 24*T^5 + 5*T^6)/T^3), 
   -((270 - 1275*T1 + 2612*T1^2 - 3276*T1^3 + 2612*T1^4 - 1275*T1^5 + 
      270*T1^6 - 1275*T2 + 4770*T1*T2 - 6383*T1^2*T2 + 3176*T1^3*T2 + 
      3176*T1^4*T2 - 6383*T1^5*T2 + 4770*T1^6*T2 - 1275*T1^7*T2 + 2612*T2^2 - 
      6383*T1*T2^2 - 568*T1^2*T2^2 + 14925*T1^3*T2^2 - 23634*T1^4*T2^2 + 
      14925*T1^5*T2^2 - 568*T1^6*T2^2 - 6383*T1^7*T2^2 + 2612*T1^8*T2^2 - 
      3276*T2^3 + 3176*T1*T2^3 + 14925*T1^2*T2^3 - 26994*T1^3*T2^3 + 
      15463*T1^4*T2^3 + 15463*T1^5*T2^3 - 26994*T1^6*T2^3 + 14925*T1^7*T2^3 + 
      3176*T1^8*T2^3 - 3276*T1^9*T2^3 + 2612*T2^4 + 3176*T1*T2^4 - 
      23634*T1^2*T2^4 + 15463*T1^3*T2^4 + 16001*T1^4*T2^4 - 39761*T1^5*T2^4 + 
      16001*T1^6*T2^4 + 15463*T1^7*T2^4 - 23634*T1^8*T2^4 + 3176*T1^9*T2^4 + 
      2612*T1^10*T2^4 - 1275*T2^5 - 6383*T1*T2^5 + 14925*T1^2*T2^5 + 
      15463*T1^3*T2^5 - 39761*T1^4*T2^5 + 26046*T1^5*T2^5 + 26046*T1^6*T2^5 - 
      39761*T1^7*T2^5 + 15463*T1^8*T2^5 + 14925*T1^9*T2^5 - 6383*T1^10*T2^5 - 
      1275*T1^11*T2^5 + 270*T2^6 + 4770*T1*T2^6 - 568*T1^2*T2^6 - 
      26994*T1^3*T2^6 + 16001*T1^4*T2^6 + 26046*T1^5*T2^6 - 59340*T1^6*T2^6 + 
      26046*T1^7*T2^6 + 16001*T1^8*T2^6 - 26994*T1^9*T2^6 - 568*T1^10*T2^6 + 
      4770*T1^11*T2^6 + 270*T1^12*T2^6 - 1275*T1*T2^7 - 6383*T1^2*T2^7 + 
      14925*T1^3*T2^7 + 15463*T1^4*T2^7 - 39761*T1^5*T2^7 + 26046*T1^6*T2^7 + 
      26046*T1^7*T2^7 - 39761*T1^8*T2^7 + 15463*T1^9*T2^7 + 
      14925*T1^10*T2^7 - 6383*T1^11*T2^7 - 1275*T1^12*T2^7 + 2612*T1^2*T2^8 + 
      3176*T1^3*T2^8 - 23634*T1^4*T2^8 + 15463*T1^5*T2^8 + 16001*T1^6*T2^8 - 
      39761*T1^7*T2^8 + 16001*T1^8*T2^8 + 15463*T1^9*T2^8 - 
      23634*T1^10*T2^8 + 3176*T1^11*T2^8 + 2612*T1^12*T2^8 - 3276*T1^3*T2^9 + 
      3176*T1^4*T2^9 + 14925*T1^5*T2^9 - 26994*T1^6*T2^9 + 15463*T1^7*T2^9 + 
      15463*T1^8*T2^9 - 26994*T1^9*T2^9 + 14925*T1^10*T2^9 + 
      3176*T1^11*T2^9 - 3276*T1^12*T2^9 + 2612*T1^4*T2^10 - 6383*T1^5*T2^10 - 
      568*T1^6*T2^10 + 14925*T1^7*T2^10 - 23634*T1^8*T2^10 + 
      14925*T1^9*T2^10 - 568*T1^10*T2^10 - 6383*T1^11*T2^10 + 
      2612*T1^12*T2^10 - 1275*T1^5*T2^11 + 4770*T1^6*T2^11 - 
      6383*T1^7*T2^11 + 3176*T1^8*T2^11 + 3176*T1^9*T2^11 - 
      6383*T1^10*T2^11 + 4770*T1^11*T2^11 - 1275*T1^12*T2^11 + 
      270*T1^6*T2^12 - 1275*T1^7*T2^12 + 2612*T1^8*T2^12 - 3276*T1^9*T2^12 + 
      2612*T1^10*T2^12 - 1275*T1^11*T2^12 + 270*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   (1 - 3*T1 + T1^2 + 3*T1^3 + T1^4 - 3*T1^5 + T1^6 - 3*T2 - 4*T1*T2 + 
     41*T1^2*T2 - 41*T1^3*T2 - 41*T1^4*T2 + 41*T1^5*T2 - 4*T1^6*T2 - 
     3*T1^7*T2 + T2^2 + 41*T1*T2^2 - 59*T1^2*T2^2 - 241*T1^3*T2^2 + 
     595*T1^4*T2^2 - 241*T1^5*T2^2 - 59*T1^6*T2^2 + 41*T1^7*T2^2 + 
     T1^8*T2^2 + 3*T2^3 - 41*T1*T2^3 - 241*T1^2*T2^3 + 1074*T1^3*T2^3 - 
     923*T1^4*T2^3 - 923*T1^5*T2^3 + 1074*T1^6*T2^3 - 241*T1^7*T2^3 - 
     41*T1^8*T2^3 + 3*T1^9*T2^3 + T2^4 - 41*T1*T2^4 + 595*T1^2*T2^4 - 
     923*T1^3*T2^4 - 1435*T1^4*T2^4 + 4159*T1^5*T2^4 - 1435*T1^6*T2^4 - 
     923*T1^7*T2^4 + 595*T1^8*T2^4 - 41*T1^9*T2^4 + T1^10*T2^4 - 3*T2^5 + 
     41*T1*T2^5 - 241*T1^2*T2^5 - 923*T1^3*T2^5 + 4159*T1^4*T2^5 - 
     3460*T1^5*T2^5 - 3460*T1^6*T2^5 + 4159*T1^7*T2^5 - 923*T1^8*T2^5 - 
     241*T1^9*T2^5 + 41*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 - 4*T1*T2^6 - 
     59*T1^2*T2^6 + 1074*T1^3*T2^6 - 1435*T1^4*T2^6 - 3460*T1^5*T2^6 + 
     8748*T1^6*T2^6 - 3460*T1^7*T2^6 - 1435*T1^8*T2^6 + 1074*T1^9*T2^6 - 
     59*T1^10*T2^6 - 4*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 + 41*T1^2*T2^7 - 
     241*T1^3*T2^7 - 923*T1^4*T2^7 + 4159*T1^5*T2^7 - 3460*T1^6*T2^7 - 
     3460*T1^7*T2^7 + 4159*T1^8*T2^7 - 923*T1^9*T2^7 - 241*T1^10*T2^7 + 
     41*T1^11*T2^7 - 3*T1^12*T2^7 + T1^2*T2^8 - 41*T1^3*T2^8 + 
     595*T1^4*T2^8 - 923*T1^5*T2^8 - 1435*T1^6*T2^8 + 4159*T1^7*T2^8 - 
     1435*T1^8*T2^8 - 923*T1^9*T2^8 + 595*T1^10*T2^8 - 41*T1^11*T2^8 + 
     T1^12*T2^8 + 3*T1^3*T2^9 - 41*T1^4*T2^9 - 241*T1^5*T2^9 + 
     1074*T1^6*T2^9 - 923*T1^7*T2^9 - 923*T1^8*T2^9 + 1074*T1^9*T2^9 - 
     241*T1^10*T2^9 - 41*T1^11*T2^9 + 3*T1^12*T2^9 + T1^4*T2^10 + 
     41*T1^5*T2^10 - 59*T1^6*T2^10 - 241*T1^7*T2^10 + 595*T1^8*T2^10 - 
     241*T1^9*T2^10 - 59*T1^10*T2^10 + 41*T1^11*T2^10 + T1^12*T2^10 - 
     3*T1^5*T2^11 - 4*T1^6*T2^11 + 41*T1^7*T2^11 - 41*T1^8*T2^11 - 
     41*T1^9*T2^11 + 41*T1^10*T2^11 - 4*T1^11*T2^11 - 3*T1^12*T2^11 + 
     T1^6*T2^12 - 3*T1^7*T2^12 + T1^8*T2^12 + 3*T1^9*T2^12 + T1^10*T2^12 - 
     3*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 317] -> 
  {(5 - 25*T + 60*T^2 - 79*T^3 + 60*T^4 - 25*T^5 + 5*T^6)/T^3, 
   -((145 - 705*T1 + 1679*T1^2 - 2201*T1^3 + 1679*T1^4 - 705*T1^5 + 
      145*T1^6 - 705*T2 + 2732*T1*T2 - 4749*T1^2*T2 + 2547*T1^3*T2 + 
      2547*T1^4*T2 - 4749*T1^5*T2 + 2732*T1^6*T2 - 705*T1^7*T2 + 1679*T2^2 - 
      4749*T1*T2^2 + 4401*T1^2*T2^2 + 6233*T1^3*T2^2 - 13469*T1^4*T2^2 + 
      6233*T1^5*T2^2 + 4401*T1^6*T2^2 - 4749*T1^7*T2^2 + 1679*T1^8*T2^2 - 
      2201*T2^3 + 2547*T1*T2^3 + 6233*T1^2*T2^3 - 24066*T1^3*T2^3 + 
      14979*T1^4*T2^3 + 14979*T1^5*T2^3 - 24066*T1^6*T2^3 + 6233*T1^7*T2^3 + 
      2547*T1^8*T2^3 - 2201*T1^9*T2^3 + 1679*T2^4 + 2547*T1*T2^4 - 
      13469*T1^2*T2^4 + 14979*T1^3*T2^4 + 32059*T1^4*T2^4 - 64983*T1^5*T2^4 + 
      32059*T1^6*T2^4 + 14979*T1^7*T2^4 - 13469*T1^8*T2^4 + 2547*T1^9*T2^4 + 
      1679*T1^10*T2^4 - 705*T2^5 - 4749*T1*T2^5 + 6233*T1^2*T2^5 + 
      14979*T1^3*T2^5 - 64983*T1^4*T2^5 + 41030*T1^5*T2^5 + 41030*T1^6*T2^5 - 
      64983*T1^7*T2^5 + 14979*T1^8*T2^5 + 6233*T1^9*T2^5 - 4749*T1^10*T2^5 - 
      705*T1^11*T2^5 + 145*T2^6 + 2732*T1*T2^6 + 4401*T1^2*T2^6 - 
      24066*T1^3*T2^6 + 32059*T1^4*T2^6 + 41030*T1^5*T2^6 - 93696*T1^6*T2^6 + 
      41030*T1^7*T2^6 + 32059*T1^8*T2^6 - 24066*T1^9*T2^6 + 4401*T1^10*T2^6 + 
      2732*T1^11*T2^6 + 145*T1^12*T2^6 - 705*T1*T2^7 - 4749*T1^2*T2^7 + 
      6233*T1^3*T2^7 + 14979*T1^4*T2^7 - 64983*T1^5*T2^7 + 41030*T1^6*T2^7 + 
      41030*T1^7*T2^7 - 64983*T1^8*T2^7 + 14979*T1^9*T2^7 + 6233*T1^10*T2^7 - 
      4749*T1^11*T2^7 - 705*T1^12*T2^7 + 1679*T1^2*T2^8 + 2547*T1^3*T2^8 - 
      13469*T1^4*T2^8 + 14979*T1^5*T2^8 + 32059*T1^6*T2^8 - 64983*T1^7*T2^8 + 
      32059*T1^8*T2^8 + 14979*T1^9*T2^8 - 13469*T1^10*T2^8 + 
      2547*T1^11*T2^8 + 1679*T1^12*T2^8 - 2201*T1^3*T2^9 + 2547*T1^4*T2^9 + 
      6233*T1^5*T2^9 - 24066*T1^6*T2^9 + 14979*T1^7*T2^9 + 14979*T1^8*T2^9 - 
      24066*T1^9*T2^9 + 6233*T1^10*T2^9 + 2547*T1^11*T2^9 - 2201*T1^12*T2^9 + 
      1679*T1^4*T2^10 - 4749*T1^5*T2^10 + 4401*T1^6*T2^10 + 6233*T1^7*T2^10 - 
      13469*T1^8*T2^10 + 6233*T1^9*T2^10 + 4401*T1^10*T2^10 - 
      4749*T1^11*T2^10 + 1679*T1^12*T2^10 - 705*T1^5*T2^11 + 
      2732*T1^6*T2^11 - 4749*T1^7*T2^11 + 2547*T1^8*T2^11 + 2547*T1^9*T2^11 - 
      4749*T1^10*T2^11 + 2732*T1^11*T2^11 - 705*T1^12*T2^11 + 
      145*T1^6*T2^12 - 705*T1^7*T2^12 + 1679*T1^8*T2^12 - 2201*T1^9*T2^12 + 
      1679*T1^10*T2^12 - 705*T1^11*T2^12 + 145*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), (1 - 7*T1 + 22*T1^2 - 43*T1^3 + 53*T1^4 - 43*T1^5 + 22*T1^6 - 
     7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 105*T1^2*T2 + 147*T1^3*T2 - 
     70*T1^4*T2 - 70*T1^5*T2 + 147*T1^6*T2 - 105*T1^7*T2 + 42*T1^8*T2 - 
     7*T1^9*T2 + 22*T2^2 - 105*T1*T2^2 + 166*T1^2*T2^2 - 36*T1^3*T2^2 - 
     425*T1^4*T2^2 + 668*T1^5*T2^2 - 425*T1^6*T2^2 - 36*T1^7*T2^2 + 
     166*T1^8*T2^2 - 105*T1^9*T2^2 + 22*T1^10*T2^2 - 43*T2^3 + 147*T1*T2^3 - 
     36*T1^2*T2^3 - 458*T1^3*T2^3 + 1184*T1^4*T2^3 - 623*T1^5*T2^3 - 
     623*T1^6*T2^3 + 1184*T1^7*T2^3 - 458*T1^8*T2^3 - 36*T1^9*T2^3 + 
     147*T1^10*T2^3 - 43*T1^11*T2^3 + 53*T2^4 - 70*T1*T2^4 - 425*T1^2*T2^4 + 
     1184*T1^3*T2^4 - 1429*T1^4*T2^4 - 913*T1^5*T2^4 + 2271*T1^6*T2^4 - 
     913*T1^7*T2^4 - 1429*T1^8*T2^4 + 1184*T1^9*T2^4 - 425*T1^10*T2^4 - 
     70*T1^11*T2^4 + 53*T1^12*T2^4 - 43*T2^5 - 70*T1*T2^5 + 668*T1^2*T2^5 - 
     623*T1^3*T2^5 - 913*T1^4*T2^5 + 4466*T1^5*T2^5 - 2549*T1^6*T2^5 - 
     2549*T1^7*T2^5 + 4466*T1^8*T2^5 - 913*T1^9*T2^5 - 623*T1^10*T2^5 + 
     668*T1^11*T2^5 - 70*T1^12*T2^5 - 43*T1^13*T2^5 + 22*T2^6 + 147*T1*T2^6 - 
     425*T1^2*T2^6 - 623*T1^3*T2^6 + 2271*T1^4*T2^6 - 2549*T1^5*T2^6 - 
     5435*T1^6*T2^6 + 10249*T1^7*T2^6 - 5435*T1^8*T2^6 - 2549*T1^9*T2^6 + 
     2271*T1^10*T2^6 - 623*T1^11*T2^6 - 425*T1^12*T2^6 + 147*T1^13*T2^6 + 
     22*T1^14*T2^6 - 7*T2^7 - 105*T1*T2^7 - 36*T1^2*T2^7 + 1184*T1^3*T2^7 - 
     913*T1^4*T2^7 - 2549*T1^5*T2^7 + 10249*T1^6*T2^7 - 5952*T1^7*T2^7 - 
     5952*T1^8*T2^7 + 10249*T1^9*T2^7 - 2549*T1^10*T2^7 - 913*T1^11*T2^7 + 
     1184*T1^12*T2^7 - 36*T1^13*T2^7 - 105*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 
     42*T1*T2^8 + 166*T1^2*T2^8 - 458*T1^3*T2^8 - 1429*T1^4*T2^8 + 
     4466*T1^5*T2^8 - 5435*T1^6*T2^8 - 5952*T1^7*T2^8 + 13164*T1^8*T2^8 - 
     5952*T1^9*T2^8 - 5435*T1^10*T2^8 + 4466*T1^11*T2^8 - 1429*T1^12*T2^8 - 
     458*T1^13*T2^8 + 166*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 
     7*T1*T2^9 - 105*T1^2*T2^9 - 36*T1^3*T2^9 + 1184*T1^4*T2^9 - 
     913*T1^5*T2^9 - 2549*T1^6*T2^9 + 10249*T1^7*T2^9 - 5952*T1^8*T2^9 - 
     5952*T1^9*T2^9 + 10249*T1^10*T2^9 - 2549*T1^11*T2^9 - 913*T1^12*T2^9 + 
     1184*T1^13*T2^9 - 36*T1^14*T2^9 - 105*T1^15*T2^9 - 7*T1^16*T2^9 + 
     22*T1^2*T2^10 + 147*T1^3*T2^10 - 425*T1^4*T2^10 - 623*T1^5*T2^10 + 
     2271*T1^6*T2^10 - 2549*T1^7*T2^10 - 5435*T1^8*T2^10 + 10249*T1^9*T2^10 - 
     5435*T1^10*T2^10 - 2549*T1^11*T2^10 + 2271*T1^12*T2^10 - 
     623*T1^13*T2^10 - 425*T1^14*T2^10 + 147*T1^15*T2^10 + 22*T1^16*T2^10 - 
     43*T1^3*T2^11 - 70*T1^4*T2^11 + 668*T1^5*T2^11 - 623*T1^6*T2^11 - 
     913*T1^7*T2^11 + 4466*T1^8*T2^11 - 2549*T1^9*T2^11 - 2549*T1^10*T2^11 + 
     4466*T1^11*T2^11 - 913*T1^12*T2^11 - 623*T1^13*T2^11 + 668*T1^14*T2^11 - 
     70*T1^15*T2^11 - 43*T1^16*T2^11 + 53*T1^4*T2^12 - 70*T1^5*T2^12 - 
     425*T1^6*T2^12 + 1184*T1^7*T2^12 - 1429*T1^8*T2^12 - 913*T1^9*T2^12 + 
     2271*T1^10*T2^12 - 913*T1^11*T2^12 - 1429*T1^12*T2^12 + 
     1184*T1^13*T2^12 - 425*T1^14*T2^12 - 70*T1^15*T2^12 + 53*T1^16*T2^12 - 
     43*T1^5*T2^13 + 147*T1^6*T2^13 - 36*T1^7*T2^13 - 458*T1^8*T2^13 + 
     1184*T1^9*T2^13 - 623*T1^10*T2^13 - 623*T1^11*T2^13 + 1184*T1^12*T2^13 - 
     458*T1^13*T2^13 - 36*T1^14*T2^13 + 147*T1^15*T2^13 - 43*T1^16*T2^13 + 
     22*T1^6*T2^14 - 105*T1^7*T2^14 + 166*T1^8*T2^14 - 36*T1^9*T2^14 - 
     425*T1^10*T2^14 + 668*T1^11*T2^14 - 425*T1^12*T2^14 - 36*T1^13*T2^14 + 
     166*T1^14*T2^14 - 105*T1^15*T2^14 + 22*T1^16*T2^14 - 7*T1^7*T2^15 + 
     42*T1^8*T2^15 - 105*T1^9*T2^15 + 147*T1^10*T2^15 - 70*T1^11*T2^15 - 
     70*T1^12*T2^15 + 147*T1^13*T2^15 - 105*T1^14*T2^15 + 42*T1^15*T2^15 - 
     7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 22*T1^10*T2^16 - 
     43*T1^11*T2^16 + 53*T1^12*T2^16 - 43*T1^13*T2^16 + 22*T1^14*T2^16 - 
     7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 319] -> 
  {(7 - 23*T + 39*T^2 - 45*T^3 + 39*T^4 - 23*T^5 + 7*T^6)/T^3, 
   (1120 - 3602*T1 + 6026*T1^2 - 6910*T1^3 + 6026*T1^4 - 3602*T1^5 + 
     1120*T1^6 - 3602*T2 + 8054*T1*T2 - 7932*T1^2*T2 + 2919*T1^3*T2 + 
     2919*T1^4*T2 - 7932*T1^5*T2 + 8054*T1^6*T2 - 3602*T1^7*T2 + 6026*T2^2 - 
     7932*T1*T2^2 + 771*T1^2*T2^2 + 7422*T1^3*T2^2 - 9001*T1^4*T2^2 + 
     7422*T1^5*T2^2 + 771*T1^6*T2^2 - 7932*T1^7*T2^2 + 6026*T1^8*T2^2 - 
     6910*T2^3 + 2919*T1*T2^3 + 7422*T1^2*T2^3 - 9392*T1^3*T2^3 + 
     2118*T1^4*T2^3 + 2118*T1^5*T2^3 - 9392*T1^6*T2^3 + 7422*T1^7*T2^3 + 
     2919*T1^8*T2^3 - 6910*T1^9*T2^3 + 6026*T2^4 + 2919*T1*T2^4 - 
     9001*T1^2*T2^4 + 2118*T1^3*T2^4 + 6790*T1^4*T2^4 - 5136*T1^5*T2^4 + 
     6790*T1^6*T2^4 + 2118*T1^7*T2^4 - 9001*T1^8*T2^4 + 2919*T1^9*T2^4 + 
     6026*T1^10*T2^4 - 3602*T2^5 - 7932*T1*T2^5 + 7422*T1^2*T2^5 + 
     2118*T1^3*T2^5 - 5136*T1^4*T2^5 - 1154*T1^5*T2^5 - 1154*T1^6*T2^5 - 
     5136*T1^7*T2^5 + 2118*T1^8*T2^5 + 7422*T1^9*T2^5 - 7932*T1^10*T2^5 - 
     3602*T1^11*T2^5 + 1120*T2^6 + 8054*T1*T2^6 + 771*T1^2*T2^6 - 
     9392*T1^3*T2^6 + 6790*T1^4*T2^6 - 1154*T1^5*T2^6 + 5736*T1^6*T2^6 - 
     1154*T1^7*T2^6 + 6790*T1^8*T2^6 - 9392*T1^9*T2^6 + 771*T1^10*T2^6 + 
     8054*T1^11*T2^6 + 1120*T1^12*T2^6 - 3602*T1*T2^7 - 7932*T1^2*T2^7 + 
     7422*T1^3*T2^7 + 2118*T1^4*T2^7 - 5136*T1^5*T2^7 - 1154*T1^6*T2^7 - 
     1154*T1^7*T2^7 - 5136*T1^8*T2^7 + 2118*T1^9*T2^7 + 7422*T1^10*T2^7 - 
     7932*T1^11*T2^7 - 3602*T1^12*T2^7 + 6026*T1^2*T2^8 + 2919*T1^3*T2^8 - 
     9001*T1^4*T2^8 + 2118*T1^5*T2^8 + 6790*T1^6*T2^8 - 5136*T1^7*T2^8 + 
     6790*T1^8*T2^8 + 2118*T1^9*T2^8 - 9001*T1^10*T2^8 + 2919*T1^11*T2^8 + 
     6026*T1^12*T2^8 - 6910*T1^3*T2^9 + 2919*T1^4*T2^9 + 7422*T1^5*T2^9 - 
     9392*T1^6*T2^9 + 2118*T1^7*T2^9 + 2118*T1^8*T2^9 - 9392*T1^9*T2^9 + 
     7422*T1^10*T2^9 + 2919*T1^11*T2^9 - 6910*T1^12*T2^9 + 6026*T1^4*T2^10 - 
     7932*T1^5*T2^10 + 771*T1^6*T2^10 + 7422*T1^7*T2^10 - 9001*T1^8*T2^10 + 
     7422*T1^9*T2^10 + 771*T1^10*T2^10 - 7932*T1^11*T2^10 + 
     6026*T1^12*T2^10 - 3602*T1^5*T2^11 + 8054*T1^6*T2^11 - 7932*T1^7*T2^11 + 
     2919*T1^8*T2^11 + 2919*T1^9*T2^11 - 7932*T1^10*T2^11 + 
     8054*T1^11*T2^11 - 3602*T1^12*T2^11 + 1120*T1^6*T2^12 - 
     3602*T1^7*T2^12 + 6026*T1^8*T2^12 - 6910*T1^9*T2^12 + 6026*T1^10*T2^12 - 
     3602*T1^11*T2^12 + 1120*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 320] -> {(12 - 39*T + 55*T^2 - 39*T^3 + 12*T^4)/T^2, 
   (4284 - 13641*T1 + 19140*T1^2 - 13641*T1^3 + 4284*T1^4 - 13641*T2 + 
     29928*T1*T2 - 17617*T1^2*T2 - 17617*T1^3*T2 + 29928*T1^4*T2 - 
     13641*T1^5*T2 + 19140*T2^2 - 17617*T1*T2^2 - 34917*T1^2*T2^2 + 
     74577*T1^3*T2^2 - 34917*T1^4*T2^2 - 17617*T1^5*T2^2 + 19140*T1^6*T2^2 - 
     13641*T2^3 - 17617*T1*T2^3 + 74577*T1^2*T2^3 - 50310*T1^3*T2^3 - 
     50310*T1^4*T2^3 + 74577*T1^5*T2^3 - 17617*T1^6*T2^3 - 13641*T1^7*T2^3 + 
     4284*T2^4 + 29928*T1*T2^4 - 34917*T1^2*T2^4 - 50310*T1^3*T2^4 + 
     118884*T1^4*T2^4 - 50310*T1^5*T2^4 - 34917*T1^6*T2^4 + 29928*T1^7*T2^4 + 
     4284*T1^8*T2^4 - 13641*T1*T2^5 - 17617*T1^2*T2^5 + 74577*T1^3*T2^5 - 
     50310*T1^4*T2^5 - 50310*T1^5*T2^5 + 74577*T1^6*T2^5 - 17617*T1^7*T2^5 - 
     13641*T1^8*T2^5 + 19140*T1^2*T2^6 - 17617*T1^3*T2^6 - 34917*T1^4*T2^6 + 
     74577*T1^5*T2^6 - 34917*T1^6*T2^6 - 17617*T1^7*T2^6 + 19140*T1^8*T2^6 - 
     13641*T1^3*T2^7 + 29928*T1^4*T2^7 - 17617*T1^5*T2^7 - 17617*T1^6*T2^7 + 
     29928*T1^7*T2^7 - 13641*T1^8*T2^7 + 4284*T1^4*T2^8 - 13641*T1^5*T2^8 + 
     19140*T1^6*T2^8 - 13641*T1^7*T2^8 + 4284*T1^8*T2^8)/(T1^4*T2^4)}, 
 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), -((25 - 123*T1 + 266*T1^2 - 395*T1^3 + 441*T1^4 - 395*T1^5 + 
      266*T1^6 - 123*T1^7 + 25*T1^8 - 123*T2 + 484*T1*T2 - 711*T1^2*T2 + 
      644*T1^3*T2 - 231*T1^4*T2 - 231*T1^5*T2 + 644*T1^6*T2 - 711*T1^7*T2 + 
      484*T1^8*T2 - 123*T1^9*T2 + 266*T2^2 - 711*T1*T2^2 + 145*T1^2*T2^2 + 
      936*T1^3*T2^2 - 2103*T1^4*T2^2 + 2373*T1^5*T2^2 - 2103*T1^6*T2^2 + 
      936*T1^7*T2^2 + 145*T1^8*T2^2 - 711*T1^9*T2^2 + 266*T1^10*T2^2 - 
      395*T2^3 + 644*T1*T2^3 + 936*T1^2*T2^3 - 1864*T1^3*T2^3 + 
      2022*T1^4*T2^3 - 542*T1^5*T2^3 - 542*T1^6*T2^3 + 2022*T1^7*T2^3 - 
      1864*T1^8*T2^3 + 936*T1^9*T2^3 + 644*T1^10*T2^3 - 395*T1^11*T2^3 + 
      441*T2^4 - 231*T1*T2^4 - 2103*T1^2*T2^4 + 2022*T1^3*T2^4 - 
      1667*T1^4*T2^4 + 147*T1^5*T2^4 - 607*T1^6*T2^4 + 147*T1^7*T2^4 - 
      1667*T1^8*T2^4 + 2022*T1^9*T2^4 - 2103*T1^10*T2^4 - 231*T1^11*T2^4 + 
      441*T1^12*T2^4 - 395*T2^5 - 231*T1*T2^5 + 2373*T1^2*T2^5 - 
      542*T1^3*T2^5 + 147*T1^4*T2^5 + 1090*T1^5*T2^5 + 423*T1^6*T2^5 + 
      423*T1^7*T2^5 + 1090*T1^8*T2^5 + 147*T1^9*T2^5 - 542*T1^10*T2^5 + 
      2373*T1^11*T2^5 - 231*T1^12*T2^5 - 395*T1^13*T2^5 + 266*T2^6 + 
      644*T1*T2^6 - 2103*T1^2*T2^6 - 542*T1^3*T2^6 - 607*T1^4*T2^6 + 
      423*T1^5*T2^6 - 2787*T1^6*T2^6 + 1307*T1^7*T2^6 - 2787*T1^8*T2^6 + 
      423*T1^9*T2^6 - 607*T1^10*T2^6 - 542*T1^11*T2^6 - 2103*T1^12*T2^6 + 
      644*T1^13*T2^6 + 266*T1^14*T2^6 - 123*T2^7 - 711*T1*T2^7 + 
      936*T1^2*T2^7 + 2022*T1^3*T2^7 + 147*T1^4*T2^7 + 423*T1^5*T2^7 + 
      1307*T1^6*T2^7 + 934*T1^7*T2^7 + 934*T1^8*T2^7 + 1307*T1^9*T2^7 + 
      423*T1^10*T2^7 + 147*T1^11*T2^7 + 2022*T1^12*T2^7 + 936*T1^13*T2^7 - 
      711*T1^14*T2^7 - 123*T1^15*T2^7 + 25*T2^8 + 484*T1*T2^8 + 
      145*T1^2*T2^8 - 1864*T1^3*T2^8 - 1667*T1^4*T2^8 + 1090*T1^5*T2^8 - 
      2787*T1^6*T2^8 + 934*T1^7*T2^8 - 3240*T1^8*T2^8 + 934*T1^9*T2^8 - 
      2787*T1^10*T2^8 + 1090*T1^11*T2^8 - 1667*T1^12*T2^8 - 1864*T1^13*T2^8 + 
      145*T1^14*T2^8 + 484*T1^15*T2^8 + 25*T1^16*T2^8 - 123*T1*T2^9 - 
      711*T1^2*T2^9 + 936*T1^3*T2^9 + 2022*T1^4*T2^9 + 147*T1^5*T2^9 + 
      423*T1^6*T2^9 + 1307*T1^7*T2^9 + 934*T1^8*T2^9 + 934*T1^9*T2^9 + 
      1307*T1^10*T2^9 + 423*T1^11*T2^9 + 147*T1^12*T2^9 + 2022*T1^13*T2^9 + 
      936*T1^14*T2^9 - 711*T1^15*T2^9 - 123*T1^16*T2^9 + 266*T1^2*T2^10 + 
      644*T1^3*T2^10 - 2103*T1^4*T2^10 - 542*T1^5*T2^10 - 607*T1^6*T2^10 + 
      423*T1^7*T2^10 - 2787*T1^8*T2^10 + 1307*T1^9*T2^10 - 2787*T1^10*T2^10 + 
      423*T1^11*T2^10 - 607*T1^12*T2^10 - 542*T1^13*T2^10 - 
      2103*T1^14*T2^10 + 644*T1^15*T2^10 + 266*T1^16*T2^10 - 395*T1^3*T2^11 - 
      231*T1^4*T2^11 + 2373*T1^5*T2^11 - 542*T1^6*T2^11 + 147*T1^7*T2^11 + 
      1090*T1^8*T2^11 + 423*T1^9*T2^11 + 423*T1^10*T2^11 + 1090*T1^11*T2^11 + 
      147*T1^12*T2^11 - 542*T1^13*T2^11 + 2373*T1^14*T2^11 - 
      231*T1^15*T2^11 - 395*T1^16*T2^11 + 441*T1^4*T2^12 - 231*T1^5*T2^12 - 
      2103*T1^6*T2^12 + 2022*T1^7*T2^12 - 1667*T1^8*T2^12 + 147*T1^9*T2^12 - 
      607*T1^10*T2^12 + 147*T1^11*T2^12 - 1667*T1^12*T2^12 + 
      2022*T1^13*T2^12 - 2103*T1^14*T2^12 - 231*T1^15*T2^12 + 
      441*T1^16*T2^12 - 395*T1^5*T2^13 + 644*T1^6*T2^13 + 936*T1^7*T2^13 - 
      1864*T1^8*T2^13 + 2022*T1^9*T2^13 - 542*T1^10*T2^13 - 542*T1^11*T2^13 + 
      2022*T1^12*T2^13 - 1864*T1^13*T2^13 + 936*T1^14*T2^13 + 
      644*T1^15*T2^13 - 395*T1^16*T2^13 + 266*T1^6*T2^14 - 711*T1^7*T2^14 + 
      145*T1^8*T2^14 + 936*T1^9*T2^14 - 2103*T1^10*T2^14 + 2373*T1^11*T2^14 - 
      2103*T1^12*T2^14 + 936*T1^13*T2^14 + 145*T1^14*T2^14 - 
      711*T1^15*T2^14 + 266*T1^16*T2^14 - 123*T1^7*T2^15 + 484*T1^8*T2^15 - 
      711*T1^9*T2^15 + 644*T1^10*T2^15 - 231*T1^11*T2^15 - 231*T1^12*T2^15 + 
      644*T1^13*T2^15 - 711*T1^14*T2^15 + 484*T1^15*T2^15 - 123*T1^16*T2^15 + 
      25*T1^8*T2^16 - 123*T1^9*T2^16 + 266*T1^10*T2^16 - 395*T1^11*T2^16 + 
      441*T1^12*T2^16 - 395*T1^13*T2^16 + 266*T1^14*T2^16 - 123*T1^15*T2^16 + 
      25*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 322] -> 
  {-((4 - 20*T + 42*T^2 - 53*T^3 + 42*T^4 - 20*T^5 + 4*T^6)/T^3), 
   -((144 - 708*T1 + 1460*T1^2 - 1832*T1^3 + 1460*T1^4 - 708*T1^5 + 
      144*T1^6 - 708*T2 + 2784*T1*T2 - 3732*T1^2*T2 + 1850*T1^3*T2 + 
      1850*T1^4*T2 - 3732*T1^5*T2 + 2784*T1^6*T2 - 708*T1^7*T2 + 1460*T2^2 - 
      3732*T1*T2^2 - 794*T1^2*T2^2 + 9754*T1^3*T2^2 - 15068*T1^4*T2^2 + 
      9754*T1^5*T2^2 - 794*T1^6*T2^2 - 3732*T1^7*T2^2 + 1460*T1^8*T2^2 - 
      1832*T2^3 + 1850*T1*T2^3 + 9754*T1^2*T2^3 - 17108*T1^3*T2^3 + 
      9614*T1^4*T2^3 + 9614*T1^5*T2^3 - 17108*T1^6*T2^3 + 9754*T1^7*T2^3 + 
      1850*T1^8*T2^3 - 1832*T1^9*T2^3 + 1460*T2^4 + 1850*T1*T2^4 - 
      15068*T1^2*T2^4 + 9614*T1^3*T2^4 + 10053*T1^4*T2^4 - 24479*T1^5*T2^4 + 
      10053*T1^6*T2^4 + 9614*T1^7*T2^4 - 15068*T1^8*T2^4 + 1850*T1^9*T2^4 + 
      1460*T1^10*T2^4 - 708*T2^5 - 3732*T1*T2^5 + 9754*T1^2*T2^5 + 
      9614*T1^3*T2^5 - 24479*T1^4*T2^5 + 15774*T1^5*T2^5 + 15774*T1^6*T2^5 - 
      24479*T1^7*T2^5 + 9614*T1^8*T2^5 + 9754*T1^9*T2^5 - 3732*T1^10*T2^5 - 
      708*T1^11*T2^5 + 144*T2^6 + 2784*T1*T2^6 - 794*T1^2*T2^6 - 
      17108*T1^3*T2^6 + 10053*T1^4*T2^6 + 15774*T1^5*T2^6 - 35700*T1^6*T2^6 + 
      15774*T1^7*T2^6 + 10053*T1^8*T2^6 - 17108*T1^9*T2^6 - 794*T1^10*T2^6 + 
      2784*T1^11*T2^6 + 144*T1^12*T2^6 - 708*T1*T2^7 - 3732*T1^2*T2^7 + 
      9754*T1^3*T2^7 + 9614*T1^4*T2^7 - 24479*T1^5*T2^7 + 15774*T1^6*T2^7 + 
      15774*T1^7*T2^7 - 24479*T1^8*T2^7 + 9614*T1^9*T2^7 + 9754*T1^10*T2^7 - 
      3732*T1^11*T2^7 - 708*T1^12*T2^7 + 1460*T1^2*T2^8 + 1850*T1^3*T2^8 - 
      15068*T1^4*T2^8 + 9614*T1^5*T2^8 + 10053*T1^6*T2^8 - 24479*T1^7*T2^8 + 
      10053*T1^8*T2^8 + 9614*T1^9*T2^8 - 15068*T1^10*T2^8 + 1850*T1^11*T2^8 + 
      1460*T1^12*T2^8 - 1832*T1^3*T2^9 + 1850*T1^4*T2^9 + 9754*T1^5*T2^9 - 
      17108*T1^6*T2^9 + 9614*T1^7*T2^9 + 9614*T1^8*T2^9 - 17108*T1^9*T2^9 + 
      9754*T1^10*T2^9 + 1850*T1^11*T2^9 - 1832*T1^12*T2^9 + 1460*T1^4*T2^10 - 
      3732*T1^5*T2^10 - 794*T1^6*T2^10 + 9754*T1^7*T2^10 - 15068*T1^8*T2^10 + 
      9754*T1^9*T2^10 - 794*T1^10*T2^10 - 3732*T1^11*T2^10 + 
      1460*T1^12*T2^10 - 708*T1^5*T2^11 + 2784*T1^6*T2^11 - 3732*T1^7*T2^11 + 
      1850*T1^8*T2^11 + 1850*T1^9*T2^11 - 3732*T1^10*T2^11 + 
      2784*T1^11*T2^11 - 708*T1^12*T2^11 + 144*T1^6*T2^12 - 708*T1^7*T2^12 + 
      1460*T1^8*T2^12 - 1832*T1^9*T2^12 + 1460*T1^10*T2^12 - 
      708*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   (T1 - 3*T1^2 + 2*T1^3 + 2*T1^4 - 3*T1^5 + T1^6 + T2 - 6*T1*T2 + 
     3*T1^2*T2 + 25*T1^3*T2 - 48*T1^4*T2 + 25*T1^5*T2 + 3*T1^6*T2 - 
     6*T1^7*T2 + T1^8*T2 - 3*T2^2 + 3*T1*T2^2 + 46*T1^2*T2^2 - 
     123*T1^3*T2^2 + 84*T1^4*T2^2 + 84*T1^5*T2^2 - 123*T1^6*T2^2 + 
     46*T1^7*T2^2 + 3*T1^8*T2^2 - 3*T1^9*T2^2 + 2*T2^3 + 25*T1*T2^3 - 
     123*T1^2*T2^3 + 101*T1^3*T2^3 + 214*T1^4*T2^3 - 489*T1^5*T2^3 + 
     214*T1^6*T2^3 + 101*T1^7*T2^3 - 123*T1^8*T2^3 + 25*T1^9*T2^3 + 
     2*T1^10*T2^3 + 2*T2^4 - 48*T1*T2^4 + 84*T1^2*T2^4 + 214*T1^3*T2^4 - 
     638*T1^4*T2^4 + 450*T1^5*T2^4 + 450*T1^6*T2^4 - 638*T1^7*T2^4 + 
     214*T1^8*T2^4 + 84*T1^9*T2^4 - 48*T1^10*T2^4 + 2*T1^11*T2^4 - 3*T2^5 + 
     25*T1*T2^5 + 84*T1^2*T2^5 - 489*T1^3*T2^5 + 450*T1^4*T2^5 + 
     427*T1^5*T2^5 - 1233*T1^6*T2^5 + 427*T1^7*T2^5 + 450*T1^8*T2^5 - 
     489*T1^9*T2^5 + 84*T1^10*T2^5 + 25*T1^11*T2^5 - 3*T1^12*T2^5 + T2^6 + 
     3*T1*T2^6 - 123*T1^2*T2^6 + 214*T1^3*T2^6 + 450*T1^4*T2^6 - 
     1233*T1^5*T2^6 + 870*T1^6*T2^6 + 870*T1^7*T2^6 - 1233*T1^8*T2^6 + 
     450*T1^9*T2^6 + 214*T1^10*T2^6 - 123*T1^11*T2^6 + 3*T1^12*T2^6 + 
     T1^13*T2^6 - 6*T1*T2^7 + 46*T1^2*T2^7 + 101*T1^3*T2^7 - 638*T1^4*T2^7 + 
     427*T1^5*T2^7 + 870*T1^6*T2^7 - 2016*T1^7*T2^7 + 870*T1^8*T2^7 + 
     427*T1^9*T2^7 - 638*T1^10*T2^7 + 101*T1^11*T2^7 + 46*T1^12*T2^7 - 
     6*T1^13*T2^7 + T1*T2^8 + 3*T1^2*T2^8 - 123*T1^3*T2^8 + 214*T1^4*T2^8 + 
     450*T1^5*T2^8 - 1233*T1^6*T2^8 + 870*T1^7*T2^8 + 870*T1^8*T2^8 - 
     1233*T1^9*T2^8 + 450*T1^10*T2^8 + 214*T1^11*T2^8 - 123*T1^12*T2^8 + 
     3*T1^13*T2^8 + T1^14*T2^8 - 3*T1^2*T2^9 + 25*T1^3*T2^9 + 84*T1^4*T2^9 - 
     489*T1^5*T2^9 + 450*T1^6*T2^9 + 427*T1^7*T2^9 - 1233*T1^8*T2^9 + 
     427*T1^9*T2^9 + 450*T1^10*T2^9 - 489*T1^11*T2^9 + 84*T1^12*T2^9 + 
     25*T1^13*T2^9 - 3*T1^14*T2^9 + 2*T1^3*T2^10 - 48*T1^4*T2^10 + 
     84*T1^5*T2^10 + 214*T1^6*T2^10 - 638*T1^7*T2^10 + 450*T1^8*T2^10 + 
     450*T1^9*T2^10 - 638*T1^10*T2^10 + 214*T1^11*T2^10 + 84*T1^12*T2^10 - 
     48*T1^13*T2^10 + 2*T1^14*T2^10 + 2*T1^4*T2^11 + 25*T1^5*T2^11 - 
     123*T1^6*T2^11 + 101*T1^7*T2^11 + 214*T1^8*T2^11 - 489*T1^9*T2^11 + 
     214*T1^10*T2^11 + 101*T1^11*T2^11 - 123*T1^12*T2^11 + 25*T1^13*T2^11 + 
     2*T1^14*T2^11 - 3*T1^5*T2^12 + 3*T1^6*T2^12 + 46*T1^7*T2^12 - 
     123*T1^8*T2^12 + 84*T1^9*T2^12 + 84*T1^10*T2^12 - 123*T1^11*T2^12 + 
     46*T1^12*T2^12 + 3*T1^13*T2^12 - 3*T1^14*T2^12 + T1^6*T2^13 - 
     6*T1^7*T2^13 + 3*T1^8*T2^13 + 25*T1^9*T2^13 - 48*T1^10*T2^13 + 
     25*T1^11*T2^13 + 3*T1^12*T2^13 - 6*T1^13*T2^13 + T1^14*T2^13 + 
     T1^8*T2^14 - 3*T1^9*T2^14 + 2*T1^10*T2^14 + 2*T1^11*T2^14 - 
     3*T1^12*T2^14 + T1^13*T2^14)/(T1^7*T2^7)}, 
 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), (1 - 8*T1 + 26*T1^2 - 49*T1^3 + 59*T1^4 - 49*T1^5 + 26*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 143*T1^2*T2 + 181*T1^3*T2 - 
     78*T1^4*T2 - 78*T1^5*T2 + 181*T1^6*T2 - 143*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 26*T2^2 - 143*T1*T2^2 + 190*T1^2*T2^2 + 165*T1^3*T2^2 - 
     864*T1^4*T2^2 + 1142*T1^5*T2^2 - 864*T1^6*T2^2 + 165*T1^7*T2^2 + 
     190*T1^8*T2^2 - 143*T1^9*T2^2 + 26*T1^10*T2^2 - 49*T2^3 + 181*T1*T2^3 + 
     165*T1^2*T2^3 - 1314*T1^3*T2^3 + 2141*T1^4*T2^3 - 897*T1^5*T2^3 - 
     897*T1^6*T2^3 + 2141*T1^7*T2^3 - 1314*T1^8*T2^3 + 165*T1^9*T2^3 + 
     181*T1^10*T2^3 - 49*T1^11*T2^3 + 59*T2^4 - 78*T1*T2^4 - 864*T1^2*T2^4 + 
     2141*T1^3*T2^4 - 1058*T1^4*T2^4 - 3160*T1^5*T2^4 + 4640*T1^6*T2^4 - 
     3160*T1^7*T2^4 - 1058*T1^8*T2^4 + 2141*T1^9*T2^4 - 864*T1^10*T2^4 - 
     78*T1^11*T2^4 + 59*T1^12*T2^4 - 49*T2^5 - 78*T1*T2^5 + 1142*T1^2*T2^5 - 
     897*T1^3*T2^5 - 3160*T1^4*T2^5 + 7456*T1^5*T2^5 - 3090*T1^6*T2^5 - 
     3090*T1^7*T2^5 + 7456*T1^8*T2^5 - 3160*T1^9*T2^5 - 897*T1^10*T2^5 + 
     1142*T1^11*T2^5 - 78*T1^12*T2^5 - 49*T1^13*T2^5 + 26*T2^6 + 
     181*T1*T2^6 - 864*T1^2*T2^6 - 897*T1^3*T2^6 + 4640*T1^4*T2^6 - 
     3090*T1^5*T2^6 - 8103*T1^6*T2^6 + 11971*T1^7*T2^6 - 8103*T1^8*T2^6 - 
     3090*T1^9*T2^6 + 4640*T1^10*T2^6 - 897*T1^11*T2^6 - 864*T1^12*T2^6 + 
     181*T1^13*T2^6 + 26*T1^14*T2^6 - 8*T2^7 - 143*T1*T2^7 + 165*T1^2*T2^7 + 
     2141*T1^3*T2^7 - 3160*T1^4*T2^7 - 3090*T1^5*T2^7 + 11971*T1^6*T2^7 - 
     5122*T1^7*T2^7 - 5122*T1^8*T2^7 + 11971*T1^9*T2^7 - 3090*T1^10*T2^7 - 
     3160*T1^11*T2^7 + 2141*T1^12*T2^7 + 165*T1^13*T2^7 - 143*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 190*T1^2*T2^8 - 1314*T1^3*T2^8 - 
     1058*T1^4*T2^8 + 7456*T1^5*T2^8 - 8103*T1^6*T2^8 - 5122*T1^7*T2^8 + 
     9804*T1^8*T2^8 - 5122*T1^9*T2^8 - 8103*T1^10*T2^8 + 7456*T1^11*T2^8 - 
     1058*T1^12*T2^8 - 1314*T1^13*T2^8 + 190*T1^14*T2^8 + 56*T1^15*T2^8 + 
     T1^16*T2^8 - 8*T1*T2^9 - 143*T1^2*T2^9 + 165*T1^3*T2^9 + 
     2141*T1^4*T2^9 - 3160*T1^5*T2^9 - 3090*T1^6*T2^9 + 11971*T1^7*T2^9 - 
     5122*T1^8*T2^9 - 5122*T1^9*T2^9 + 11971*T1^10*T2^9 - 3090*T1^11*T2^9 - 
     3160*T1^12*T2^9 + 2141*T1^13*T2^9 + 165*T1^14*T2^9 - 143*T1^15*T2^9 - 
     8*T1^16*T2^9 + 26*T1^2*T2^10 + 181*T1^3*T2^10 - 864*T1^4*T2^10 - 
     897*T1^5*T2^10 + 4640*T1^6*T2^10 - 3090*T1^7*T2^10 - 8103*T1^8*T2^10 + 
     11971*T1^9*T2^10 - 8103*T1^10*T2^10 - 3090*T1^11*T2^10 + 
     4640*T1^12*T2^10 - 897*T1^13*T2^10 - 864*T1^14*T2^10 + 181*T1^15*T2^10 + 
     26*T1^16*T2^10 - 49*T1^3*T2^11 - 78*T1^4*T2^11 + 1142*T1^5*T2^11 - 
     897*T1^6*T2^11 - 3160*T1^7*T2^11 + 7456*T1^8*T2^11 - 3090*T1^9*T2^11 - 
     3090*T1^10*T2^11 + 7456*T1^11*T2^11 - 3160*T1^12*T2^11 - 
     897*T1^13*T2^11 + 1142*T1^14*T2^11 - 78*T1^15*T2^11 - 49*T1^16*T2^11 + 
     59*T1^4*T2^12 - 78*T1^5*T2^12 - 864*T1^6*T2^12 + 2141*T1^7*T2^12 - 
     1058*T1^8*T2^12 - 3160*T1^9*T2^12 + 4640*T1^10*T2^12 - 
     3160*T1^11*T2^12 - 1058*T1^12*T2^12 + 2141*T1^13*T2^12 - 
     864*T1^14*T2^12 - 78*T1^15*T2^12 + 59*T1^16*T2^12 - 49*T1^5*T2^13 + 
     181*T1^6*T2^13 + 165*T1^7*T2^13 - 1314*T1^8*T2^13 + 2141*T1^9*T2^13 - 
     897*T1^10*T2^13 - 897*T1^11*T2^13 + 2141*T1^12*T2^13 - 
     1314*T1^13*T2^13 + 165*T1^14*T2^13 + 181*T1^15*T2^13 - 49*T1^16*T2^13 + 
     26*T1^6*T2^14 - 143*T1^7*T2^14 + 190*T1^8*T2^14 + 165*T1^9*T2^14 - 
     864*T1^10*T2^14 + 1142*T1^11*T2^14 - 864*T1^12*T2^14 + 165*T1^13*T2^14 + 
     190*T1^14*T2^14 - 143*T1^15*T2^14 + 26*T1^16*T2^14 - 8*T1^7*T2^15 + 
     56*T1^8*T2^15 - 143*T1^9*T2^15 + 181*T1^10*T2^15 - 78*T1^11*T2^15 - 
     78*T1^12*T2^15 + 181*T1^13*T2^15 - 143*T1^14*T2^15 + 56*T1^15*T2^15 - 
     8*T1^16*T2^15 + T1^8*T2^16 - 8*T1^9*T2^16 + 26*T1^10*T2^16 - 
     49*T1^11*T2^16 + 59*T1^12*T2^16 - 49*T1^13*T2^16 + 26*T1^14*T2^16 - 
     8*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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), 
   (1 - 8*T1 + 27*T1^2 - 53*T1^3 + 65*T1^4 - 53*T1^5 + 27*T1^6 - 8*T1^7 + 
     T1^8 - 8*T2 + 56*T1*T2 - 151*T1^2*T2 + 205*T1^3*T2 - 94*T1^4*T2 - 
     94*T1^5*T2 + 205*T1^6*T2 - 151*T1^7*T2 + 56*T1^8*T2 - 8*T1^9*T2 + 
     27*T2^2 - 151*T1*T2^2 + 243*T1^2*T2^2 + 62*T1^3*T2^2 - 830*T1^4*T2^2 + 
     1187*T1^5*T2^2 - 830*T1^6*T2^2 + 62*T1^7*T2^2 + 243*T1^8*T2^2 - 
     151*T1^9*T2^2 + 27*T1^10*T2^2 - 53*T2^3 + 205*T1*T2^3 + 62*T1^2*T2^3 - 
     1232*T1^3*T2^3 + 2348*T1^4*T2^3 - 1097*T1^5*T2^3 - 1097*T1^6*T2^3 + 
     2348*T1^7*T2^3 - 1232*T1^8*T2^3 + 62*T1^9*T2^3 + 205*T1^10*T2^3 - 
     53*T1^11*T2^3 + 65*T2^4 - 94*T1*T2^4 - 830*T1^2*T2^4 + 2348*T1^3*T2^4 - 
     1589*T1^4*T2^4 - 3374*T1^5*T2^4 + 5605*T1^6*T2^4 - 3374*T1^7*T2^4 - 
     1589*T1^8*T2^4 + 2348*T1^9*T2^4 - 830*T1^10*T2^4 - 94*T1^11*T2^4 + 
     65*T1^12*T2^4 - 53*T2^5 - 94*T1*T2^5 + 1187*T1^2*T2^5 - 1097*T1^3*T2^5 - 
     3374*T1^4*T2^5 + 9284*T1^5*T2^5 - 4433*T1^6*T2^5 - 4433*T1^7*T2^5 + 
     9284*T1^8*T2^5 - 3374*T1^9*T2^5 - 1097*T1^10*T2^5 + 1187*T1^11*T2^5 - 
     94*T1^12*T2^5 - 53*T1^13*T2^5 + 27*T2^6 + 205*T1*T2^6 - 830*T1^2*T2^6 - 
     1097*T1^3*T2^6 + 5605*T1^4*T2^6 - 4433*T1^5*T2^6 - 10335*T1^6*T2^6 + 
     17085*T1^7*T2^6 - 10335*T1^8*T2^6 - 4433*T1^9*T2^6 + 5605*T1^10*T2^6 - 
     1097*T1^11*T2^6 - 830*T1^12*T2^6 + 205*T1^13*T2^6 + 27*T1^14*T2^6 - 
     8*T2^7 - 151*T1*T2^7 + 62*T1^2*T2^7 + 2348*T1^3*T2^7 - 3374*T1^4*T2^7 - 
     4433*T1^5*T2^7 + 17085*T1^6*T2^7 - 8492*T1^7*T2^7 - 8492*T1^8*T2^7 + 
     17085*T1^9*T2^7 - 4433*T1^10*T2^7 - 3374*T1^11*T2^7 + 2348*T1^12*T2^7 + 
     62*T1^13*T2^7 - 151*T1^14*T2^7 - 8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 
     243*T1^2*T2^8 - 1232*T1^3*T2^8 - 1589*T1^4*T2^8 + 9284*T1^5*T2^8 - 
     10335*T1^6*T2^8 - 8492*T1^7*T2^8 + 17508*T1^8*T2^8 - 8492*T1^9*T2^8 - 
     10335*T1^10*T2^8 + 9284*T1^11*T2^8 - 1589*T1^12*T2^8 - 1232*T1^13*T2^8 + 
     243*T1^14*T2^8 + 56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 
     151*T1^2*T2^9 + 62*T1^3*T2^9 + 2348*T1^4*T2^9 - 3374*T1^5*T2^9 - 
     4433*T1^6*T2^9 + 17085*T1^7*T2^9 - 8492*T1^8*T2^9 - 8492*T1^9*T2^9 + 
     17085*T1^10*T2^9 - 4433*T1^11*T2^9 - 3374*T1^12*T2^9 + 2348*T1^13*T2^9 + 
     62*T1^14*T2^9 - 151*T1^15*T2^9 - 8*T1^16*T2^9 + 27*T1^2*T2^10 + 
     205*T1^3*T2^10 - 830*T1^4*T2^10 - 1097*T1^5*T2^10 + 5605*T1^6*T2^10 - 
     4433*T1^7*T2^10 - 10335*T1^8*T2^10 + 17085*T1^9*T2^10 - 
     10335*T1^10*T2^10 - 4433*T1^11*T2^10 + 5605*T1^12*T2^10 - 
     1097*T1^13*T2^10 - 830*T1^14*T2^10 + 205*T1^15*T2^10 + 27*T1^16*T2^10 - 
     53*T1^3*T2^11 - 94*T1^4*T2^11 + 1187*T1^5*T2^11 - 1097*T1^6*T2^11 - 
     3374*T1^7*T2^11 + 9284*T1^8*T2^11 - 4433*T1^9*T2^11 - 4433*T1^10*T2^11 + 
     9284*T1^11*T2^11 - 3374*T1^12*T2^11 - 1097*T1^13*T2^11 + 
     1187*T1^14*T2^11 - 94*T1^15*T2^11 - 53*T1^16*T2^11 + 65*T1^4*T2^12 - 
     94*T1^5*T2^12 - 830*T1^6*T2^12 + 2348*T1^7*T2^12 - 1589*T1^8*T2^12 - 
     3374*T1^9*T2^12 + 5605*T1^10*T2^12 - 3374*T1^11*T2^12 - 
     1589*T1^12*T2^12 + 2348*T1^13*T2^12 - 830*T1^14*T2^12 - 94*T1^15*T2^12 + 
     65*T1^16*T2^12 - 53*T1^5*T2^13 + 205*T1^6*T2^13 + 62*T1^7*T2^13 - 
     1232*T1^8*T2^13 + 2348*T1^9*T2^13 - 1097*T1^10*T2^13 - 
     1097*T1^11*T2^13 + 2348*T1^12*T2^13 - 1232*T1^13*T2^13 + 
     62*T1^14*T2^13 + 205*T1^15*T2^13 - 53*T1^16*T2^13 + 27*T1^6*T2^14 - 
     151*T1^7*T2^14 + 243*T1^8*T2^14 + 62*T1^9*T2^14 - 830*T1^10*T2^14 + 
     1187*T1^11*T2^14 - 830*T1^12*T2^14 + 62*T1^13*T2^14 + 243*T1^14*T2^14 - 
     151*T1^15*T2^14 + 27*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 
     151*T1^9*T2^15 + 205*T1^10*T2^15 - 94*T1^11*T2^15 - 94*T1^12*T2^15 + 
     205*T1^13*T2^15 - 151*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + 
     T1^8*T2^16 - 8*T1^9*T2^16 + 27*T1^10*T2^16 - 53*T1^11*T2^16 + 
     65*T1^12*T2^16 - 53*T1^13*T2^16 + 27*T1^14*T2^16 - 8*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, Knot[12, Alternating, 326] -> 
  {(3 - 19*T + 51*T^2 - 69*T^3 + 51*T^4 - 19*T^5 + 3*T^6)/T^3, 
   (30 - 191*T1 + 516*T1^2 - 698*T1^3 + 516*T1^4 - 191*T1^5 + 30*T1^6 - 
     191*T2 + 1026*T1*T2 - 2072*T1^2*T2 + 1161*T1^3*T2 + 1161*T1^4*T2 - 
     2072*T1^5*T2 + 1026*T1^6*T2 - 191*T1^7*T2 + 516*T2^2 - 2072*T1*T2^2 + 
     1619*T1^2*T2^2 + 5807*T1^3*T2^2 - 10841*T1^4*T2^2 + 5807*T1^5*T2^2 + 
     1619*T1^6*T2^2 - 2072*T1^7*T2^2 + 516*T1^8*T2^2 - 698*T2^3 + 
     1161*T1*T2^3 + 5807*T1^2*T2^3 - 20678*T1^3*T2^3 + 12817*T1^4*T2^3 + 
     12817*T1^5*T2^3 - 20678*T1^6*T2^3 + 5807*T1^7*T2^3 + 1161*T1^8*T2^3 - 
     698*T1^9*T2^3 + 516*T2^4 + 1161*T1*T2^4 - 10841*T1^2*T2^4 + 
     12817*T1^3*T2^4 + 31394*T1^4*T2^4 - 62650*T1^5*T2^4 + 31394*T1^6*T2^4 + 
     12817*T1^7*T2^4 - 10841*T1^8*T2^4 + 1161*T1^9*T2^4 + 516*T1^10*T2^4 - 
     191*T2^5 - 2072*T1*T2^5 + 5807*T1^2*T2^5 + 12817*T1^3*T2^5 - 
     62650*T1^4*T2^5 + 40216*T1^5*T2^5 + 40216*T1^6*T2^5 - 62650*T1^7*T2^5 + 
     12817*T1^8*T2^5 + 5807*T1^9*T2^5 - 2072*T1^10*T2^5 - 191*T1^11*T2^5 + 
     30*T2^6 + 1026*T1*T2^6 + 1619*T1^2*T2^6 - 20678*T1^3*T2^6 + 
     31394*T1^4*T2^6 + 40216*T1^5*T2^6 - 92964*T1^6*T2^6 + 40216*T1^7*T2^6 + 
     31394*T1^8*T2^6 - 20678*T1^9*T2^6 + 1619*T1^10*T2^6 + 1026*T1^11*T2^6 + 
     30*T1^12*T2^6 - 191*T1*T2^7 - 2072*T1^2*T2^7 + 5807*T1^3*T2^7 + 
     12817*T1^4*T2^7 - 62650*T1^5*T2^7 + 40216*T1^6*T2^7 + 40216*T1^7*T2^7 - 
     62650*T1^8*T2^7 + 12817*T1^9*T2^7 + 5807*T1^10*T2^7 - 2072*T1^11*T2^7 - 
     191*T1^12*T2^7 + 516*T1^2*T2^8 + 1161*T1^3*T2^8 - 10841*T1^4*T2^8 + 
     12817*T1^5*T2^8 + 31394*T1^6*T2^8 - 62650*T1^7*T2^8 + 31394*T1^8*T2^8 + 
     12817*T1^9*T2^8 - 10841*T1^10*T2^8 + 1161*T1^11*T2^8 + 516*T1^12*T2^8 - 
     698*T1^3*T2^9 + 1161*T1^4*T2^9 + 5807*T1^5*T2^9 - 20678*T1^6*T2^9 + 
     12817*T1^7*T2^9 + 12817*T1^8*T2^9 - 20678*T1^9*T2^9 + 5807*T1^10*T2^9 + 
     1161*T1^11*T2^9 - 698*T1^12*T2^9 + 516*T1^4*T2^10 - 2072*T1^5*T2^10 + 
     1619*T1^6*T2^10 + 5807*T1^7*T2^10 - 10841*T1^8*T2^10 + 5807*T1^9*T2^10 + 
     1619*T1^10*T2^10 - 2072*T1^11*T2^10 + 516*T1^12*T2^10 - 191*T1^5*T2^11 + 
     1026*T1^6*T2^11 - 2072*T1^7*T2^11 + 1161*T1^8*T2^11 + 1161*T1^9*T2^11 - 
     2072*T1^10*T2^11 + 1026*T1^11*T2^11 - 191*T1^12*T2^11 + 30*T1^6*T2^12 - 
     191*T1^7*T2^12 + 516*T1^8*T2^12 - 698*T1^9*T2^12 + 516*T1^10*T2^12 - 
     191*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 327] -> 
  {((2 - 2*T + T^2)*(2 - 3*T + 2*T^2)*(1 - 2*T + 2*T^2))/T^3, 
   -((80 - 352*T1 + 776*T1^2 - 984*T1^3 + 776*T1^4 - 352*T1^5 + 80*T1^6 - 
      352*T2 + 1202*T1*T2 - 1878*T1^2*T2 + 924*T1^3*T2 + 924*T1^4*T2 - 
      1878*T1^5*T2 + 1202*T1^6*T2 - 352*T1^7*T2 + 776*T2^2 - 1878*T1*T2^2 + 
      1517*T1^2*T2^2 + 2067*T1^3*T2^2 - 4053*T1^4*T2^2 + 2067*T1^5*T2^2 + 
      1517*T1^6*T2^2 - 1878*T1^7*T2^2 + 776*T1^8*T2^2 - 984*T2^3 + 
      924*T1*T2^3 + 2067*T1^2*T2^3 - 7100*T1^3*T2^3 + 3806*T1^4*T2^3 + 
      3806*T1^5*T2^3 - 7100*T1^6*T2^3 + 2067*T1^7*T2^3 + 924*T1^8*T2^3 - 
      984*T1^9*T2^3 + 776*T2^4 + 924*T1*T2^4 - 4053*T1^2*T2^4 + 
      3806*T1^3*T2^4 + 9168*T1^4*T2^4 - 16078*T1^5*T2^4 + 9168*T1^6*T2^4 + 
      3806*T1^7*T2^4 - 4053*T1^8*T2^4 + 924*T1^9*T2^4 + 776*T1^10*T2^4 - 
      352*T2^5 - 1878*T1*T2^5 + 2067*T1^2*T2^5 + 3806*T1^3*T2^5 - 
      16078*T1^4*T2^5 + 8576*T1^5*T2^5 + 8576*T1^6*T2^5 - 16078*T1^7*T2^5 + 
      3806*T1^8*T2^5 + 2067*T1^9*T2^5 - 1878*T1^10*T2^5 - 352*T1^11*T2^5 + 
      80*T2^6 + 1202*T1*T2^6 + 1517*T1^2*T2^6 - 7100*T1^3*T2^6 + 
      9168*T1^4*T2^6 + 8576*T1^5*T2^6 - 18084*T1^6*T2^6 + 8576*T1^7*T2^6 + 
      9168*T1^8*T2^6 - 7100*T1^9*T2^6 + 1517*T1^10*T2^6 + 1202*T1^11*T2^6 + 
      80*T1^12*T2^6 - 352*T1*T2^7 - 1878*T1^2*T2^7 + 2067*T1^3*T2^7 + 
      3806*T1^4*T2^7 - 16078*T1^5*T2^7 + 8576*T1^6*T2^7 + 8576*T1^7*T2^7 - 
      16078*T1^8*T2^7 + 3806*T1^9*T2^7 + 2067*T1^10*T2^7 - 1878*T1^11*T2^7 - 
      352*T1^12*T2^7 + 776*T1^2*T2^8 + 924*T1^3*T2^8 - 4053*T1^4*T2^8 + 
      3806*T1^5*T2^8 + 9168*T1^6*T2^8 - 16078*T1^7*T2^8 + 9168*T1^8*T2^8 + 
      3806*T1^9*T2^8 - 4053*T1^10*T2^8 + 924*T1^11*T2^8 + 776*T1^12*T2^8 - 
      984*T1^3*T2^9 + 924*T1^4*T2^9 + 2067*T1^5*T2^9 - 7100*T1^6*T2^9 + 
      3806*T1^7*T2^9 + 3806*T1^8*T2^9 - 7100*T1^9*T2^9 + 2067*T1^10*T2^9 + 
      924*T1^11*T2^9 - 984*T1^12*T2^9 + 776*T1^4*T2^10 - 1878*T1^5*T2^10 + 
      1517*T1^6*T2^10 + 2067*T1^7*T2^10 - 4053*T1^8*T2^10 + 2067*T1^9*T2^10 + 
      1517*T1^10*T2^10 - 1878*T1^11*T2^10 + 776*T1^12*T2^10 - 
      352*T1^5*T2^11 + 1202*T1^6*T2^11 - 1878*T1^7*T2^11 + 924*T1^8*T2^11 + 
      924*T1^9*T2^11 - 1878*T1^10*T2^11 + 1202*T1^11*T2^11 - 
      352*T1^12*T2^11 + 80*T1^6*T2^12 - 352*T1^7*T2^12 + 776*T1^8*T2^12 - 
      984*T1^9*T2^12 + 776*T1^10*T2^12 - 352*T1^11*T2^12 + 80*T1^12*T2^12)/
     (T1^6*T2^6))}, 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), -((1 - 8*T1 + 27*T1^2 - 52*T1^3 + 63*T1^4 - 52*T1^5 + 27*T1^6 - 
      8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 152*T1^2*T2 + 200*T1^3*T2 - 
      88*T1^4*T2 - 88*T1^5*T2 + 200*T1^6*T2 - 152*T1^7*T2 + 56*T1^8*T2 - 
      8*T1^9*T2 + 27*T2^2 - 152*T1*T2^2 + 243*T1^2*T2^2 + 113*T1^3*T2^2 - 
      910*T1^4*T2^2 + 1243*T1^5*T2^2 - 910*T1^6*T2^2 + 113*T1^7*T2^2 + 
      243*T1^8*T2^2 - 152*T1^9*T2^2 + 27*T1^10*T2^2 - 52*T2^3 + 200*T1*T2^3 + 
      113*T1^2*T2^3 - 1474*T1^3*T2^3 + 2582*T1^4*T2^3 - 1122*T1^5*T2^3 - 
      1122*T1^6*T2^3 + 2582*T1^7*T2^3 - 1474*T1^8*T2^3 + 113*T1^9*T2^3 + 
      200*T1^10*T2^3 - 52*T1^11*T2^3 + 63*T2^4 - 88*T1*T2^4 - 910*T1^2*T2^4 + 
      2582*T1^3*T2^4 - 1281*T1^4*T2^4 - 4304*T1^5*T2^4 + 6441*T1^6*T2^4 - 
      4304*T1^7*T2^4 - 1281*T1^8*T2^4 + 2582*T1^9*T2^4 - 910*T1^10*T2^4 - 
      88*T1^11*T2^4 + 63*T1^12*T2^4 - 52*T2^5 - 88*T1*T2^5 + 1243*T1^2*T2^5 - 
      1122*T1^3*T2^5 - 4304*T1^4*T2^5 + 10330*T1^5*T2^5 - 4488*T1^6*T2^5 - 
      4488*T1^7*T2^5 + 10330*T1^8*T2^5 - 4304*T1^9*T2^5 - 1122*T1^10*T2^5 + 
      1243*T1^11*T2^5 - 88*T1^12*T2^5 - 52*T1^13*T2^5 + 27*T2^6 + 
      200*T1*T2^6 - 910*T1^2*T2^6 - 1122*T1^3*T2^6 + 6441*T1^4*T2^6 - 
      4488*T1^5*T2^6 - 11278*T1^6*T2^6 + 17310*T1^7*T2^6 - 11278*T1^8*T2^6 - 
      4488*T1^9*T2^6 + 6441*T1^10*T2^6 - 1122*T1^11*T2^6 - 910*T1^12*T2^6 + 
      200*T1^13*T2^6 + 27*T1^14*T2^6 - 8*T2^7 - 152*T1*T2^7 + 113*T1^2*T2^7 + 
      2582*T1^3*T2^7 - 4304*T1^4*T2^7 - 4488*T1^5*T2^7 + 17310*T1^6*T2^7 - 
      7808*T1^7*T2^7 - 7808*T1^8*T2^7 + 17310*T1^9*T2^7 - 4488*T1^10*T2^7 - 
      4304*T1^11*T2^7 + 2582*T1^12*T2^7 + 113*T1^13*T2^7 - 152*T1^14*T2^7 - 
      8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 243*T1^2*T2^8 - 1474*T1^3*T2^8 - 
      1281*T1^4*T2^8 + 10330*T1^5*T2^8 - 11278*T1^6*T2^8 - 7808*T1^7*T2^8 + 
      15348*T1^8*T2^8 - 7808*T1^9*T2^8 - 11278*T1^10*T2^8 + 
      10330*T1^11*T2^8 - 1281*T1^12*T2^8 - 1474*T1^13*T2^8 + 243*T1^14*T2^8 + 
      56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 152*T1^2*T2^9 + 
      113*T1^3*T2^9 + 2582*T1^4*T2^9 - 4304*T1^5*T2^9 - 4488*T1^6*T2^9 + 
      17310*T1^7*T2^9 - 7808*T1^8*T2^9 - 7808*T1^9*T2^9 + 17310*T1^10*T2^9 - 
      4488*T1^11*T2^9 - 4304*T1^12*T2^9 + 2582*T1^13*T2^9 + 113*T1^14*T2^9 - 
      152*T1^15*T2^9 - 8*T1^16*T2^9 + 27*T1^2*T2^10 + 200*T1^3*T2^10 - 
      910*T1^4*T2^10 - 1122*T1^5*T2^10 + 6441*T1^6*T2^10 - 4488*T1^7*T2^10 - 
      11278*T1^8*T2^10 + 17310*T1^9*T2^10 - 11278*T1^10*T2^10 - 
      4488*T1^11*T2^10 + 6441*T1^12*T2^10 - 1122*T1^13*T2^10 - 
      910*T1^14*T2^10 + 200*T1^15*T2^10 + 27*T1^16*T2^10 - 52*T1^3*T2^11 - 
      88*T1^4*T2^11 + 1243*T1^5*T2^11 - 1122*T1^6*T2^11 - 4304*T1^7*T2^11 + 
      10330*T1^8*T2^11 - 4488*T1^9*T2^11 - 4488*T1^10*T2^11 + 
      10330*T1^11*T2^11 - 4304*T1^12*T2^11 - 1122*T1^13*T2^11 + 
      1243*T1^14*T2^11 - 88*T1^15*T2^11 - 52*T1^16*T2^11 + 63*T1^4*T2^12 - 
      88*T1^5*T2^12 - 910*T1^6*T2^12 + 2582*T1^7*T2^12 - 1281*T1^8*T2^12 - 
      4304*T1^9*T2^12 + 6441*T1^10*T2^12 - 4304*T1^11*T2^12 - 
      1281*T1^12*T2^12 + 2582*T1^13*T2^12 - 910*T1^14*T2^12 - 
      88*T1^15*T2^12 + 63*T1^16*T2^12 - 52*T1^5*T2^13 + 200*T1^6*T2^13 + 
      113*T1^7*T2^13 - 1474*T1^8*T2^13 + 2582*T1^9*T2^13 - 1122*T1^10*T2^13 - 
      1122*T1^11*T2^13 + 2582*T1^12*T2^13 - 1474*T1^13*T2^13 + 
      113*T1^14*T2^13 + 200*T1^15*T2^13 - 52*T1^16*T2^13 + 27*T1^6*T2^14 - 
      152*T1^7*T2^14 + 243*T1^8*T2^14 + 113*T1^9*T2^14 - 910*T1^10*T2^14 + 
      1243*T1^11*T2^14 - 910*T1^12*T2^14 + 113*T1^13*T2^14 + 
      243*T1^14*T2^14 - 152*T1^15*T2^14 + 27*T1^16*T2^14 - 8*T1^7*T2^15 + 
      56*T1^8*T2^15 - 152*T1^9*T2^15 + 200*T1^10*T2^15 - 88*T1^11*T2^15 - 
      88*T1^12*T2^15 + 200*T1^13*T2^15 - 152*T1^14*T2^15 + 56*T1^15*T2^15 - 
      8*T1^16*T2^15 + T1^8*T2^16 - 8*T1^9*T2^16 + 27*T1^10*T2^16 - 
      52*T1^11*T2^16 + 63*T1^12*T2^16 - 52*T1^13*T2^16 + 27*T1^14*T2^16 - 
      8*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 329] -> 
  {-((4 - 17*T + 31*T^2 - 37*T^3 + 31*T^4 - 17*T^5 + 4*T^6)/T^3), 
   -((144 - 604*T1 + 1080*T1^2 - 1280*T1^3 + 1080*T1^4 - 604*T1^5 + 
      144*T1^6 - 604*T2 + 1942*T1*T2 - 2030*T1^2*T2 + 858*T1^3*T2 + 
      858*T1^4*T2 - 2030*T1^5*T2 + 1942*T1^6*T2 - 604*T1^7*T2 + 1080*T2^2 - 
      2030*T1*T2^2 - 1472*T1^2*T2^2 + 5236*T1^3*T2^2 - 6882*T1^4*T2^2 + 
      5236*T1^5*T2^2 - 1472*T1^6*T2^2 - 2030*T1^7*T2^2 + 1080*T1^8*T2^2 - 
      1280*T2^3 + 858*T1*T2^3 + 5236*T1^2*T2^3 - 5998*T1^3*T2^3 + 
      2677*T1^4*T2^3 + 2677*T1^5*T2^3 - 5998*T1^6*T2^3 + 5236*T1^7*T2^3 + 
      858*T1^8*T2^3 - 1280*T1^9*T2^3 + 1080*T2^4 + 858*T1*T2^4 - 
      6882*T1^2*T2^4 + 2677*T1^3*T2^4 + 1594*T1^4*T2^4 - 3828*T1^5*T2^4 + 
      1594*T1^6*T2^4 + 2677*T1^7*T2^4 - 6882*T1^8*T2^4 + 858*T1^9*T2^4 + 
      1080*T1^10*T2^4 - 604*T2^5 - 2030*T1*T2^5 + 5236*T1^2*T2^5 + 
      2677*T1^3*T2^5 - 3828*T1^4*T2^5 + 2060*T1^5*T2^5 + 2060*T1^6*T2^5 - 
      3828*T1^7*T2^5 + 2677*T1^8*T2^5 + 5236*T1^9*T2^5 - 2030*T1^10*T2^5 - 
      604*T1^11*T2^5 + 144*T2^6 + 1942*T1*T2^6 - 1472*T1^2*T2^6 - 
      5998*T1^3*T2^6 + 1594*T1^4*T2^6 + 2060*T1^5*T2^6 - 4284*T1^6*T2^6 + 
      2060*T1^7*T2^6 + 1594*T1^8*T2^6 - 5998*T1^9*T2^6 - 1472*T1^10*T2^6 + 
      1942*T1^11*T2^6 + 144*T1^12*T2^6 - 604*T1*T2^7 - 2030*T1^2*T2^7 + 
      5236*T1^3*T2^7 + 2677*T1^4*T2^7 - 3828*T1^5*T2^7 + 2060*T1^6*T2^7 + 
      2060*T1^7*T2^7 - 3828*T1^8*T2^7 + 2677*T1^9*T2^7 + 5236*T1^10*T2^7 - 
      2030*T1^11*T2^7 - 604*T1^12*T2^7 + 1080*T1^2*T2^8 + 858*T1^3*T2^8 - 
      6882*T1^4*T2^8 + 2677*T1^5*T2^8 + 1594*T1^6*T2^8 - 3828*T1^7*T2^8 + 
      1594*T1^8*T2^8 + 2677*T1^9*T2^8 - 6882*T1^10*T2^8 + 858*T1^11*T2^8 + 
      1080*T1^12*T2^8 - 1280*T1^3*T2^9 + 858*T1^4*T2^9 + 5236*T1^5*T2^9 - 
      5998*T1^6*T2^9 + 2677*T1^7*T2^9 + 2677*T1^8*T2^9 - 5998*T1^9*T2^9 + 
      5236*T1^10*T2^9 + 858*T1^11*T2^9 - 1280*T1^12*T2^9 + 1080*T1^4*T2^10 - 
      2030*T1^5*T2^10 - 1472*T1^6*T2^10 + 5236*T1^7*T2^10 - 6882*T1^8*T2^10 + 
      5236*T1^9*T2^10 - 1472*T1^10*T2^10 - 2030*T1^11*T2^10 + 
      1080*T1^12*T2^10 - 604*T1^5*T2^11 + 1942*T1^6*T2^11 - 2030*T1^7*T2^11 + 
      858*T1^8*T2^11 + 858*T1^9*T2^11 - 2030*T1^10*T2^11 + 1942*T1^11*T2^11 - 
      604*T1^12*T2^11 + 144*T1^6*T2^12 - 604*T1^7*T2^12 + 1080*T1^8*T2^12 - 
      1280*T1^9*T2^12 + 1080*T1^10*T2^12 - 604*T1^11*T2^12 + 144*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, Alternating, 330] -> 
  {-((6 - 24*T + 35*T^2 - 24*T^3 + 6*T^4)/T^2), 
   (-5*(63 - 249*T1 + 359*T1^2 - 249*T1^3 + 63*T1^4 - 249*T2 + 738*T1*T2 - 
      438*T1^2*T2 - 438*T1^3*T2 + 738*T1^4*T2 - 249*T1^5*T2 + 359*T2^2 - 
      438*T1*T2^2 - 1500*T1^2*T2^2 + 2816*T1^3*T2^2 - 1500*T1^4*T2^2 - 
      438*T1^5*T2^2 + 359*T1^6*T2^2 - 249*T2^3 - 438*T1*T2^3 + 
      2816*T1^2*T2^3 - 1800*T1^3*T2^3 - 1800*T1^4*T2^3 + 2816*T1^5*T2^3 - 
      438*T1^6*T2^3 - 249*T1^7*T2^3 + 63*T2^4 + 738*T1*T2^4 - 
      1500*T1^2*T2^4 - 1800*T1^3*T2^4 + 4188*T1^4*T2^4 - 1800*T1^5*T2^4 - 
      1500*T1^6*T2^4 + 738*T1^7*T2^4 + 63*T1^8*T2^4 - 249*T1*T2^5 - 
      438*T1^2*T2^5 + 2816*T1^3*T2^5 - 1800*T1^4*T2^5 - 1800*T1^5*T2^5 + 
      2816*T1^6*T2^5 - 438*T1^7*T2^5 - 249*T1^8*T2^5 + 359*T1^2*T2^6 - 
      438*T1^3*T2^6 - 1500*T1^4*T2^6 + 2816*T1^5*T2^6 - 1500*T1^6*T2^6 - 
      438*T1^7*T2^6 + 359*T1^8*T2^6 - 249*T1^3*T2^7 + 738*T1^4*T2^7 - 
      438*T1^5*T2^7 - 438*T1^6*T2^7 + 738*T1^7*T2^7 - 249*T1^8*T2^7 + 
      63*T1^4*T2^8 - 249*T1^5*T2^8 + 359*T1^6*T2^8 - 249*T1^7*T2^8 + 
      63*T1^8*T2^8))/(T1^4*T2^4)}, 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 + 84*T1*T2 - 210*T1^2*T2 + 210*T1^3*T2 - 84*T1^4*T2 - 
      84*T1^5*T2 + 210*T1^6*T2 - 210*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
      44*T2^2 - 210*T1*T2^2 + 323*T1^2*T2^2 + 244*T1^3*T2^2 - 824*T1^4*T2^2 + 
      1033*T1^5*T2^2 - 824*T1^6*T2^2 + 244*T1^7*T2^2 + 323*T1^8*T2^2 - 
      210*T1^9*T2^2 + 44*T1^10*T2^2 - 74*T2^3 + 210*T1*T2^3 + 244*T1^2*T2^3 - 
      2068*T1^3*T2^3 + 2137*T1^4*T2^3 - 827*T1^5*T2^3 - 827*T1^6*T2^3 + 
      2137*T1^7*T2^3 - 2068*T1^8*T2^3 + 244*T1^9*T2^3 + 210*T1^10*T2^3 - 
      74*T1^11*T2^3 + 86*T2^4 - 84*T1*T2^4 - 824*T1^2*T2^4 + 2137*T1^3*T2^4 + 
      2127*T1^4*T2^4 - 6208*T1^5*T2^4 + 7595*T1^6*T2^4 - 6208*T1^7*T2^4 + 
      2127*T1^8*T2^4 + 2137*T1^9*T2^4 - 824*T1^10*T2^4 - 84*T1^11*T2^4 + 
      86*T1^12*T2^4 - 74*T2^5 - 84*T1*T2^5 + 1033*T1^2*T2^5 - 827*T1^3*T2^5 - 
      6208*T1^4*T2^5 + 6652*T1^5*T2^5 - 2543*T1^6*T2^5 - 2543*T1^7*T2^5 + 
      6652*T1^8*T2^5 - 6208*T1^9*T2^5 - 827*T1^10*T2^5 + 1033*T1^11*T2^5 - 
      84*T1^12*T2^5 - 74*T1^13*T2^5 + 44*T2^6 + 210*T1*T2^6 - 824*T1^2*T2^6 - 
      827*T1^3*T2^6 + 7595*T1^4*T2^6 - 2543*T1^5*T2^6 - 2683*T1^6*T2^6 + 
      4415*T1^7*T2^6 - 2683*T1^8*T2^6 - 2543*T1^9*T2^6 + 7595*T1^10*T2^6 - 
      827*T1^11*T2^6 - 824*T1^12*T2^6 + 210*T1^13*T2^6 + 44*T1^14*T2^6 - 
      14*T2^7 - 210*T1*T2^7 + 244*T1^2*T2^7 + 2137*T1^3*T2^7 - 
      6208*T1^4*T2^7 - 2543*T1^5*T2^7 + 4415*T1^6*T2^7 - 1868*T1^7*T2^7 - 
      1868*T1^8*T2^7 + 4415*T1^9*T2^7 - 2543*T1^10*T2^7 - 6208*T1^11*T2^7 + 
      2137*T1^12*T2^7 + 244*T1^13*T2^7 - 210*T1^14*T2^7 - 14*T1^15*T2^7 + 
      2*T2^8 + 84*T1*T2^8 + 323*T1^2*T2^8 - 2068*T1^3*T2^8 + 2127*T1^4*T2^8 + 
      6652*T1^5*T2^8 - 2683*T1^6*T2^8 - 1868*T1^7*T2^8 + 3600*T1^8*T2^8 - 
      1868*T1^9*T2^8 - 2683*T1^10*T2^8 + 6652*T1^11*T2^8 + 2127*T1^12*T2^8 - 
      2068*T1^13*T2^8 + 323*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 
      14*T1*T2^9 - 210*T1^2*T2^9 + 244*T1^3*T2^9 + 2137*T1^4*T2^9 - 
      6208*T1^5*T2^9 - 2543*T1^6*T2^9 + 4415*T1^7*T2^9 - 1868*T1^8*T2^9 - 
      1868*T1^9*T2^9 + 4415*T1^10*T2^9 - 2543*T1^11*T2^9 - 6208*T1^12*T2^9 + 
      2137*T1^13*T2^9 + 244*T1^14*T2^9 - 210*T1^15*T2^9 - 14*T1^16*T2^9 + 
      44*T1^2*T2^10 + 210*T1^3*T2^10 - 824*T1^4*T2^10 - 827*T1^5*T2^10 + 
      7595*T1^6*T2^10 - 2543*T1^7*T2^10 - 2683*T1^8*T2^10 + 4415*T1^9*T2^10 - 
      2683*T1^10*T2^10 - 2543*T1^11*T2^10 + 7595*T1^12*T2^10 - 
      827*T1^13*T2^10 - 824*T1^14*T2^10 + 210*T1^15*T2^10 + 44*T1^16*T2^10 - 
      74*T1^3*T2^11 - 84*T1^4*T2^11 + 1033*T1^5*T2^11 - 827*T1^6*T2^11 - 
      6208*T1^7*T2^11 + 6652*T1^8*T2^11 - 2543*T1^9*T2^11 - 
      2543*T1^10*T2^11 + 6652*T1^11*T2^11 - 6208*T1^12*T2^11 - 
      827*T1^13*T2^11 + 1033*T1^14*T2^11 - 84*T1^15*T2^11 - 74*T1^16*T2^11 + 
      86*T1^4*T2^12 - 84*T1^5*T2^12 - 824*T1^6*T2^12 + 2137*T1^7*T2^12 + 
      2127*T1^8*T2^12 - 6208*T1^9*T2^12 + 7595*T1^10*T2^12 - 
      6208*T1^11*T2^12 + 2127*T1^12*T2^12 + 2137*T1^13*T2^12 - 
      824*T1^14*T2^12 - 84*T1^15*T2^12 + 86*T1^16*T2^12 - 74*T1^5*T2^13 + 
      210*T1^6*T2^13 + 244*T1^7*T2^13 - 2068*T1^8*T2^13 + 2137*T1^9*T2^13 - 
      827*T1^10*T2^13 - 827*T1^11*T2^13 + 2137*T1^12*T2^13 - 
      2068*T1^13*T2^13 + 244*T1^14*T2^13 + 210*T1^15*T2^13 - 74*T1^16*T2^13 + 
      44*T1^6*T2^14 - 210*T1^7*T2^14 + 323*T1^8*T2^14 + 244*T1^9*T2^14 - 
      824*T1^10*T2^14 + 1033*T1^11*T2^14 - 824*T1^12*T2^14 + 
      244*T1^13*T2^14 + 323*T1^14*T2^14 - 210*T1^15*T2^14 + 44*T1^16*T2^14 - 
      14*T1^7*T2^15 + 84*T1^8*T2^15 - 210*T1^9*T2^15 + 210*T1^10*T2^15 - 
      84*T1^11*T2^15 - 84*T1^12*T2^15 + 210*T1^13*T2^15 - 210*T1^14*T2^15 + 
      84*T1^15*T2^15 - 14*T1^16*T2^15 + 2*T1^8*T2^16 - 14*T1^9*T2^16 + 
      44*T1^10*T2^16 - 74*T1^11*T2^16 + 86*T1^12*T2^16 - 74*T1^13*T2^16 + 
      44*T1^14*T2^16 - 14*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 332] -> 
  {(2 - 14*T + 41*T^2 - 57*T^3 + 41*T^4 - 14*T^5 + 2*T^6)/T^3, 
   -((9 - 63*T1 + 185*T1^2 - 257*T1^3 + 185*T1^4 - 63*T1^5 + 9*T1^6 - 63*T2 + 
      378*T1*T2 - 854*T1^2*T2 + 504*T1^3*T2 + 504*T1^4*T2 - 854*T1^5*T2 + 
      378*T1^6*T2 - 63*T1^7*T2 + 185*T2^2 - 854*T1*T2^2 + 891*T1^2*T2^2 + 
      2569*T1^3*T2^2 - 5121*T1^4*T2^2 + 2569*T1^5*T2^2 + 891*T1^6*T2^2 - 
      854*T1^7*T2^2 + 185*T1^8*T2^2 - 257*T2^3 + 504*T1*T2^3 + 
      2569*T1^2*T2^3 - 10840*T1^3*T2^3 + 7126*T1^4*T2^3 + 7126*T1^5*T2^3 - 
      10840*T1^6*T2^3 + 2569*T1^7*T2^3 + 504*T1^8*T2^3 - 257*T1^9*T2^3 + 
      185*T2^4 + 504*T1*T2^4 - 5121*T1^2*T2^4 + 7126*T1^3*T2^4 + 
      19045*T1^4*T2^4 - 38957*T1^5*T2^4 + 19045*T1^6*T2^4 + 7126*T1^7*T2^4 - 
      5121*T1^8*T2^4 + 504*T1^9*T2^4 + 185*T1^10*T2^4 - 63*T2^5 - 
      854*T1*T2^5 + 2569*T1^2*T2^5 + 7126*T1^3*T2^5 - 38957*T1^4*T2^5 + 
      26324*T1^5*T2^5 + 26324*T1^6*T2^5 - 38957*T1^7*T2^5 + 7126*T1^8*T2^5 + 
      2569*T1^9*T2^5 - 854*T1^10*T2^5 - 63*T1^11*T2^5 + 9*T2^6 + 
      378*T1*T2^6 + 891*T1^2*T2^6 - 10840*T1^3*T2^6 + 19045*T1^4*T2^6 + 
      26324*T1^5*T2^6 - 62436*T1^6*T2^6 + 26324*T1^7*T2^6 + 19045*T1^8*T2^6 - 
      10840*T1^9*T2^6 + 891*T1^10*T2^6 + 378*T1^11*T2^6 + 9*T1^12*T2^6 - 
      63*T1*T2^7 - 854*T1^2*T2^7 + 2569*T1^3*T2^7 + 7126*T1^4*T2^7 - 
      38957*T1^5*T2^7 + 26324*T1^6*T2^7 + 26324*T1^7*T2^7 - 38957*T1^8*T2^7 + 
      7126*T1^9*T2^7 + 2569*T1^10*T2^7 - 854*T1^11*T2^7 - 63*T1^12*T2^7 + 
      185*T1^2*T2^8 + 504*T1^3*T2^8 - 5121*T1^4*T2^8 + 7126*T1^5*T2^8 + 
      19045*T1^6*T2^8 - 38957*T1^7*T2^8 + 19045*T1^8*T2^8 + 7126*T1^9*T2^8 - 
      5121*T1^10*T2^8 + 504*T1^11*T2^8 + 185*T1^12*T2^8 - 257*T1^3*T2^9 + 
      504*T1^4*T2^9 + 2569*T1^5*T2^9 - 10840*T1^6*T2^9 + 7126*T1^7*T2^9 + 
      7126*T1^8*T2^9 - 10840*T1^9*T2^9 + 2569*T1^10*T2^9 + 504*T1^11*T2^9 - 
      257*T1^12*T2^9 + 185*T1^4*T2^10 - 854*T1^5*T2^10 + 891*T1^6*T2^10 + 
      2569*T1^7*T2^10 - 5121*T1^8*T2^10 + 2569*T1^9*T2^10 + 891*T1^10*T2^10 - 
      854*T1^11*T2^10 + 185*T1^12*T2^10 - 63*T1^5*T2^11 + 378*T1^6*T2^11 - 
      854*T1^7*T2^11 + 504*T1^8*T2^11 + 504*T1^9*T2^11 - 854*T1^10*T2^11 + 
      378*T1^11*T2^11 - 63*T1^12*T2^11 + 9*T1^6*T2^12 - 63*T1^7*T2^12 + 
      185*T1^8*T2^12 - 257*T1^9*T2^12 + 185*T1^10*T2^12 - 63*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   (1 - 5*T1 + 12*T1^2 - 17*T1^3 + 12*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     22*T1*T2 - 44*T1^2*T2 + 30*T1^3*T2 + 30*T1^4*T2 - 44*T1^5*T2 + 
     22*T1^6*T2 - 5*T1^7*T2 + 12*T2^2 - 44*T1*T2^2 + 44*T1^2*T2^2 + 
     115*T1^3*T2^2 - 260*T1^4*T2^2 + 115*T1^5*T2^2 + 44*T1^6*T2^2 - 
     44*T1^7*T2^2 + 12*T1^8*T2^2 - 17*T2^3 + 30*T1*T2^3 + 115*T1^2*T2^3 - 
     494*T1^3*T2^3 + 342*T1^4*T2^3 + 342*T1^5*T2^3 - 494*T1^6*T2^3 + 
     115*T1^7*T2^3 + 30*T1^8*T2^3 - 17*T1^9*T2^3 + 12*T2^4 + 30*T1*T2^4 - 
     260*T1^2*T2^4 + 342*T1^3*T2^4 + 820*T1^4*T2^4 - 1674*T1^5*T2^4 + 
     820*T1^6*T2^4 + 342*T1^7*T2^4 - 260*T1^8*T2^4 + 30*T1^9*T2^4 + 
     12*T1^10*T2^4 - 5*T2^5 - 44*T1*T2^5 + 115*T1^2*T2^5 + 342*T1^3*T2^5 - 
     1674*T1^4*T2^5 + 1046*T1^5*T2^5 + 1046*T1^6*T2^5 - 1674*T1^7*T2^5 + 
     342*T1^8*T2^5 + 115*T1^9*T2^5 - 44*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     22*T1*T2^6 + 44*T1^2*T2^6 - 494*T1^3*T2^6 + 820*T1^4*T2^6 + 
     1046*T1^5*T2^6 - 2328*T1^6*T2^6 + 1046*T1^7*T2^6 + 820*T1^8*T2^6 - 
     494*T1^9*T2^6 + 44*T1^10*T2^6 + 22*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     44*T1^2*T2^7 + 115*T1^3*T2^7 + 342*T1^4*T2^7 - 1674*T1^5*T2^7 + 
     1046*T1^6*T2^7 + 1046*T1^7*T2^7 - 1674*T1^8*T2^7 + 342*T1^9*T2^7 + 
     115*T1^10*T2^7 - 44*T1^11*T2^7 - 5*T1^12*T2^7 + 12*T1^2*T2^8 + 
     30*T1^3*T2^8 - 260*T1^4*T2^8 + 342*T1^5*T2^8 + 820*T1^6*T2^8 - 
     1674*T1^7*T2^8 + 820*T1^8*T2^8 + 342*T1^9*T2^8 - 260*T1^10*T2^8 + 
     30*T1^11*T2^8 + 12*T1^12*T2^8 - 17*T1^3*T2^9 + 30*T1^4*T2^9 + 
     115*T1^5*T2^9 - 494*T1^6*T2^9 + 342*T1^7*T2^9 + 342*T1^8*T2^9 - 
     494*T1^9*T2^9 + 115*T1^10*T2^9 + 30*T1^11*T2^9 - 17*T1^12*T2^9 + 
     12*T1^4*T2^10 - 44*T1^5*T2^10 + 44*T1^6*T2^10 + 115*T1^7*T2^10 - 
     260*T1^8*T2^10 + 115*T1^9*T2^10 + 44*T1^10*T2^10 - 44*T1^11*T2^10 + 
     12*T1^12*T2^10 - 5*T1^5*T2^11 + 22*T1^6*T2^11 - 44*T1^7*T2^11 + 
     30*T1^8*T2^11 + 30*T1^9*T2^11 - 44*T1^10*T2^11 + 22*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 12*T1^8*T2^12 - 
     17*T1^9*T2^12 + 12*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   -((T1 + 5*T1^2 - 8*T1^3 + 5*T1^4 + T1^5 + T2 - 8*T1*T2 - 29*T1^2*T2 + 
      12*T1^3*T2 + 12*T1^4*T2 - 29*T1^5*T2 - 8*T1^6*T2 + T1^7*T2 + 5*T2^2 - 
      29*T1*T2^2 + 215*T1^2*T2^2 - 101*T1^3*T2^2 + 95*T1^4*T2^2 - 
      101*T1^5*T2^2 + 215*T1^6*T2^2 - 29*T1^7*T2^2 + 5*T1^8*T2^2 - 8*T2^3 + 
      12*T1*T2^3 - 101*T1^2*T2^3 - 668*T1^3*T2^3 + 280*T1^4*T2^3 + 
      280*T1^5*T2^3 - 668*T1^6*T2^3 - 101*T1^7*T2^3 + 12*T1^8*T2^3 - 
      8*T1^9*T2^3 + 5*T2^4 + 12*T1*T2^4 + 95*T1^2*T2^4 + 280*T1^3*T2^4 + 
      2659*T1^4*T2^4 - 3805*T1^5*T2^4 + 2659*T1^6*T2^4 + 280*T1^7*T2^4 + 
      95*T1^8*T2^4 + 12*T1^9*T2^4 + 5*T1^10*T2^4 + T2^5 - 29*T1*T2^5 - 
      101*T1^2*T2^5 + 280*T1^3*T2^5 - 3805*T1^4*T2^5 + 1756*T1^5*T2^5 + 
      1756*T1^6*T2^5 - 3805*T1^7*T2^5 + 280*T1^8*T2^5 - 101*T1^9*T2^5 - 
      29*T1^10*T2^5 + T1^11*T2^5 - 8*T1*T2^6 + 215*T1^2*T2^6 - 
      668*T1^3*T2^6 + 2659*T1^4*T2^6 + 1756*T1^5*T2^6 - 3432*T1^6*T2^6 + 
      1756*T1^7*T2^6 + 2659*T1^8*T2^6 - 668*T1^9*T2^6 + 215*T1^10*T2^6 - 
      8*T1^11*T2^6 + T1*T2^7 - 29*T1^2*T2^7 - 101*T1^3*T2^7 + 280*T1^4*T2^7 - 
      3805*T1^5*T2^7 + 1756*T1^6*T2^7 + 1756*T1^7*T2^7 - 3805*T1^8*T2^7 + 
      280*T1^9*T2^7 - 101*T1^10*T2^7 - 29*T1^11*T2^7 + T1^12*T2^7 + 
      5*T1^2*T2^8 + 12*T1^3*T2^8 + 95*T1^4*T2^8 + 280*T1^5*T2^8 + 
      2659*T1^6*T2^8 - 3805*T1^7*T2^8 + 2659*T1^8*T2^8 + 280*T1^9*T2^8 + 
      95*T1^10*T2^8 + 12*T1^11*T2^8 + 5*T1^12*T2^8 - 8*T1^3*T2^9 + 
      12*T1^4*T2^9 - 101*T1^5*T2^9 - 668*T1^6*T2^9 + 280*T1^7*T2^9 + 
      280*T1^8*T2^9 - 668*T1^9*T2^9 - 101*T1^10*T2^9 + 12*T1^11*T2^9 - 
      8*T1^12*T2^9 + 5*T1^4*T2^10 - 29*T1^5*T2^10 + 215*T1^6*T2^10 - 
      101*T1^7*T2^10 + 95*T1^8*T2^10 - 101*T1^9*T2^10 + 215*T1^10*T2^10 - 
      29*T1^11*T2^10 + 5*T1^12*T2^10 + T1^5*T2^11 - 8*T1^6*T2^11 - 
      29*T1^7*T2^11 + 12*T1^8*T2^11 + 12*T1^9*T2^11 - 29*T1^10*T2^11 - 
      8*T1^11*T2^11 + T1^12*T2^11 + T1^7*T2^12 + 5*T1^8*T2^12 - 
      8*T1^9*T2^12 + 5*T1^10*T2^12 + T1^11*T2^12)/(T1^6*T2^6))}, 
 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), -((1 - 9*T1 + 30*T1^2 - 59*T1^3 + 73*T1^4 - 59*T1^5 + 30*T1^6 - 
      9*T1^7 + T1^8 - 9*T2 + 72*T1*T2 - 189*T1^2*T2 + 261*T1^3*T2 - 
      126*T1^4*T2 - 126*T1^5*T2 + 261*T1^6*T2 - 189*T1^7*T2 + 72*T1^8*T2 - 
      9*T1^9*T2 + 30*T2^2 - 189*T1*T2^2 + 207*T1^2*T2^2 + 366*T1^3*T2^2 - 
      1632*T1^4*T2^2 + 2299*T1^5*T2^2 - 1632*T1^6*T2^2 + 366*T1^7*T2^2 + 
      207*T1^8*T2^2 - 189*T1^9*T2^2 + 30*T1^10*T2^2 - 59*T2^3 + 261*T1*T2^3 + 
      366*T1^2*T2^3 - 2206*T1^3*T2^3 + 3980*T1^4*T2^3 - 2040*T1^5*T2^3 - 
      2040*T1^6*T2^3 + 3980*T1^7*T2^3 - 2206*T1^8*T2^3 + 366*T1^9*T2^3 + 
      261*T1^10*T2^3 - 59*T1^11*T2^3 + 73*T2^4 - 126*T1*T2^4 - 
      1632*T1^2*T2^4 + 3980*T1^3*T2^4 - 3307*T1^4*T2^4 - 4107*T1^5*T2^4 + 
      8451*T1^6*T2^4 - 4107*T1^7*T2^4 - 3307*T1^8*T2^4 + 3980*T1^9*T2^4 - 
      1632*T1^10*T2^4 - 126*T1^11*T2^4 + 73*T1^12*T2^4 - 59*T2^5 - 
      126*T1*T2^5 + 2299*T1^2*T2^5 - 2040*T1^3*T2^5 - 4107*T1^4*T2^5 + 
      13632*T1^5*T2^5 - 7673*T1^6*T2^5 - 7673*T1^7*T2^5 + 13632*T1^8*T2^5 - 
      4107*T1^9*T2^5 - 2040*T1^10*T2^5 + 2299*T1^11*T2^5 - 126*T1^12*T2^5 - 
      59*T1^13*T2^5 + 30*T2^6 + 261*T1*T2^6 - 1632*T1^2*T2^6 - 
      2040*T1^3*T2^6 + 8451*T1^4*T2^6 - 7673*T1^5*T2^6 - 14481*T1^6*T2^6 + 
      27767*T1^7*T2^6 - 14481*T1^8*T2^6 - 7673*T1^9*T2^6 + 8451*T1^10*T2^6 - 
      2040*T1^11*T2^6 - 1632*T1^12*T2^6 + 261*T1^13*T2^6 + 30*T1^14*T2^6 - 
      9*T2^7 - 189*T1*T2^7 + 366*T1^2*T2^7 + 3980*T1^3*T2^7 - 
      4107*T1^4*T2^7 - 7673*T1^5*T2^7 + 27767*T1^6*T2^7 - 15868*T1^7*T2^7 - 
      15868*T1^8*T2^7 + 27767*T1^9*T2^7 - 7673*T1^10*T2^7 - 4107*T1^11*T2^7 + 
      3980*T1^12*T2^7 + 366*T1^13*T2^7 - 189*T1^14*T2^7 - 9*T1^15*T2^7 + 
      T2^8 + 72*T1*T2^8 + 207*T1^2*T2^8 - 2206*T1^3*T2^8 - 3307*T1^4*T2^8 + 
      13632*T1^5*T2^8 - 14481*T1^6*T2^8 - 15868*T1^7*T2^8 + 34536*T1^8*T2^8 - 
      15868*T1^9*T2^8 - 14481*T1^10*T2^8 + 13632*T1^11*T2^8 - 
      3307*T1^12*T2^8 - 2206*T1^13*T2^8 + 207*T1^14*T2^8 + 72*T1^15*T2^8 + 
      T1^16*T2^8 - 9*T1*T2^9 - 189*T1^2*T2^9 + 366*T1^3*T2^9 + 
      3980*T1^4*T2^9 - 4107*T1^5*T2^9 - 7673*T1^6*T2^9 + 27767*T1^7*T2^9 - 
      15868*T1^8*T2^9 - 15868*T1^9*T2^9 + 27767*T1^10*T2^9 - 
      7673*T1^11*T2^9 - 4107*T1^12*T2^9 + 3980*T1^13*T2^9 + 366*T1^14*T2^9 - 
      189*T1^15*T2^9 - 9*T1^16*T2^9 + 30*T1^2*T2^10 + 261*T1^3*T2^10 - 
      1632*T1^4*T2^10 - 2040*T1^5*T2^10 + 8451*T1^6*T2^10 - 7673*T1^7*T2^10 - 
      14481*T1^8*T2^10 + 27767*T1^9*T2^10 - 14481*T1^10*T2^10 - 
      7673*T1^11*T2^10 + 8451*T1^12*T2^10 - 2040*T1^13*T2^10 - 
      1632*T1^14*T2^10 + 261*T1^15*T2^10 + 30*T1^16*T2^10 - 59*T1^3*T2^11 - 
      126*T1^4*T2^11 + 2299*T1^5*T2^11 - 2040*T1^6*T2^11 - 4107*T1^7*T2^11 + 
      13632*T1^8*T2^11 - 7673*T1^9*T2^11 - 7673*T1^10*T2^11 + 
      13632*T1^11*T2^11 - 4107*T1^12*T2^11 - 2040*T1^13*T2^11 + 
      2299*T1^14*T2^11 - 126*T1^15*T2^11 - 59*T1^16*T2^11 + 73*T1^4*T2^12 - 
      126*T1^5*T2^12 - 1632*T1^6*T2^12 + 3980*T1^7*T2^12 - 3307*T1^8*T2^12 - 
      4107*T1^9*T2^12 + 8451*T1^10*T2^12 - 4107*T1^11*T2^12 - 
      3307*T1^12*T2^12 + 3980*T1^13*T2^12 - 1632*T1^14*T2^12 - 
      126*T1^15*T2^12 + 73*T1^16*T2^12 - 59*T1^5*T2^13 + 261*T1^6*T2^13 + 
      366*T1^7*T2^13 - 2206*T1^8*T2^13 + 3980*T1^9*T2^13 - 2040*T1^10*T2^13 - 
      2040*T1^11*T2^13 + 3980*T1^12*T2^13 - 2206*T1^13*T2^13 + 
      366*T1^14*T2^13 + 261*T1^15*T2^13 - 59*T1^16*T2^13 + 30*T1^6*T2^14 - 
      189*T1^7*T2^14 + 207*T1^8*T2^14 + 366*T1^9*T2^14 - 1632*T1^10*T2^14 + 
      2299*T1^11*T2^14 - 1632*T1^12*T2^14 + 366*T1^13*T2^14 + 
      207*T1^14*T2^14 - 189*T1^15*T2^14 + 30*T1^16*T2^14 - 9*T1^7*T2^15 + 
      72*T1^8*T2^15 - 189*T1^9*T2^15 + 261*T1^10*T2^15 - 126*T1^11*T2^15 - 
      126*T1^12*T2^15 + 261*T1^13*T2^15 - 189*T1^14*T2^15 + 72*T1^15*T2^15 - 
      9*T1^16*T2^15 + T1^8*T2^16 - 9*T1^9*T2^16 + 30*T1^10*T2^16 - 
      59*T1^11*T2^16 + 73*T1^12*T2^16 - 59*T1^13*T2^16 + 30*T1^14*T2^16 - 
      9*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 336] -> 
  {-(((1 - T + T^2)*(4 - 18*T + 27*T^2 - 18*T^3 + 4*T^4))/T^3), 
   -((144 - 776*T1 + 1696*T1^2 - 2168*T1^3 + 1696*T1^4 - 776*T1^5 + 
      144*T1^6 - 776*T2 + 3418*T1*T2 - 5000*T1^2*T2 + 2570*T1^3*T2 + 
      2570*T1^4*T2 - 5000*T1^5*T2 + 3418*T1^6*T2 - 776*T1^7*T2 + 1696*T2^2 - 
      5000*T1*T2^2 - 745*T1^2*T2^2 + 14695*T1^3*T2^2 - 23303*T1^4*T2^2 + 
      14695*T1^5*T2^2 - 745*T1^6*T2^2 - 5000*T1^7*T2^2 + 1696*T1^8*T2^2 - 
      2168*T2^3 + 2570*T1*T2^3 + 14695*T1^2*T2^3 - 28954*T1^3*T2^3 + 
      16764*T1^4*T2^3 + 16764*T1^5*T2^3 - 28954*T1^6*T2^3 + 14695*T1^7*T2^3 + 
      2570*T1^8*T2^3 - 2168*T1^9*T2^3 + 1696*T2^4 + 2570*T1*T2^4 - 
      23303*T1^2*T2^4 + 16764*T1^3*T2^4 + 20806*T1^4*T2^4 - 48730*T1^5*T2^4 + 
      20806*T1^6*T2^4 + 16764*T1^7*T2^4 - 23303*T1^8*T2^4 + 2570*T1^9*T2^4 + 
      1696*T1^10*T2^4 - 776*T2^5 - 5000*T1*T2^5 + 14695*T1^2*T2^5 + 
      16764*T1^3*T2^5 - 48730*T1^4*T2^5 + 31714*T1^5*T2^5 + 31714*T1^6*T2^5 - 
      48730*T1^7*T2^5 + 16764*T1^8*T2^5 + 14695*T1^9*T2^5 - 5000*T1^10*T2^5 - 
      776*T1^11*T2^5 + 144*T2^6 + 3418*T1*T2^6 - 745*T1^2*T2^6 - 
      28954*T1^3*T2^6 + 20806*T1^4*T2^6 + 31714*T1^5*T2^6 - 72480*T1^6*T2^6 + 
      31714*T1^7*T2^6 + 20806*T1^8*T2^6 - 28954*T1^9*T2^6 - 745*T1^10*T2^6 + 
      3418*T1^11*T2^6 + 144*T1^12*T2^6 - 776*T1*T2^7 - 5000*T1^2*T2^7 + 
      14695*T1^3*T2^7 + 16764*T1^4*T2^7 - 48730*T1^5*T2^7 + 31714*T1^6*T2^7 + 
      31714*T1^7*T2^7 - 48730*T1^8*T2^7 + 16764*T1^9*T2^7 + 
      14695*T1^10*T2^7 - 5000*T1^11*T2^7 - 776*T1^12*T2^7 + 1696*T1^2*T2^8 + 
      2570*T1^3*T2^8 - 23303*T1^4*T2^8 + 16764*T1^5*T2^8 + 20806*T1^6*T2^8 - 
      48730*T1^7*T2^8 + 20806*T1^8*T2^8 + 16764*T1^9*T2^8 - 
      23303*T1^10*T2^8 + 2570*T1^11*T2^8 + 1696*T1^12*T2^8 - 2168*T1^3*T2^9 + 
      2570*T1^4*T2^9 + 14695*T1^5*T2^9 - 28954*T1^6*T2^9 + 16764*T1^7*T2^9 + 
      16764*T1^8*T2^9 - 28954*T1^9*T2^9 + 14695*T1^10*T2^9 + 
      2570*T1^11*T2^9 - 2168*T1^12*T2^9 + 1696*T1^4*T2^10 - 5000*T1^5*T2^10 - 
      745*T1^6*T2^10 + 14695*T1^7*T2^10 - 23303*T1^8*T2^10 + 
      14695*T1^9*T2^10 - 745*T1^10*T2^10 - 5000*T1^11*T2^10 + 
      1696*T1^12*T2^10 - 776*T1^5*T2^11 + 3418*T1^6*T2^11 - 5000*T1^7*T2^11 + 
      2570*T1^8*T2^11 + 2570*T1^9*T2^11 - 5000*T1^10*T2^11 + 
      3418*T1^11*T2^11 - 776*T1^12*T2^11 + 144*T1^6*T2^12 - 776*T1^7*T2^12 + 
      1696*T1^8*T2^12 - 2168*T1^9*T2^12 + 1696*T1^10*T2^12 - 
      776*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 337] -> 
  {(3 - 22*T + 62*T^2 - 85*T^3 + 62*T^4 - 22*T^5 + 3*T^6)/T^3, 
   (30 - 215*T1 + 599*T1^2 - 816*T1^3 + 599*T1^4 - 215*T1^5 + 30*T1^6 - 
     215*T2 + 1326*T1*T2 - 2751*T1^2*T2 + 1556*T1^3*T2 + 1556*T1^4*T2 - 
     2751*T1^5*T2 + 1326*T1^6*T2 - 215*T1^7*T2 + 599*T2^2 - 2751*T1*T2^2 + 
     1561*T1^2*T2^2 + 9915*T1^3*T2^2 - 17627*T1^4*T2^2 + 9915*T1^5*T2^2 + 
     1561*T1^6*T2^2 - 2751*T1^7*T2^2 + 599*T1^8*T2^2 - 816*T2^3 + 
     1556*T1*T2^3 + 9915*T1^2*T2^3 - 32530*T1^3*T2^3 + 20076*T1^4*T2^3 + 
     20076*T1^5*T2^3 - 32530*T1^6*T2^3 + 9915*T1^7*T2^3 + 1556*T1^8*T2^3 - 
     816*T1^9*T2^3 + 599*T2^4 + 1556*T1*T2^4 - 17627*T1^2*T2^4 + 
     20076*T1^3*T2^4 + 47221*T1^4*T2^4 - 95363*T1^5*T2^4 + 47221*T1^6*T2^4 + 
     20076*T1^7*T2^4 - 17627*T1^8*T2^4 + 1556*T1^9*T2^4 + 599*T1^10*T2^4 - 
     215*T2^5 - 2751*T1*T2^5 + 9915*T1^2*T2^5 + 20076*T1^3*T2^5 - 
     95363*T1^4*T2^5 + 61674*T1^5*T2^5 + 61674*T1^6*T2^5 - 95363*T1^7*T2^5 + 
     20076*T1^8*T2^5 + 9915*T1^9*T2^5 - 2751*T1^10*T2^5 - 215*T1^11*T2^5 + 
     30*T2^6 + 1326*T1*T2^6 + 1561*T1^2*T2^6 - 32530*T1^3*T2^6 + 
     47221*T1^4*T2^6 + 61674*T1^5*T2^6 - 143016*T1^6*T2^6 + 61674*T1^7*T2^6 + 
     47221*T1^8*T2^6 - 32530*T1^9*T2^6 + 1561*T1^10*T2^6 + 1326*T1^11*T2^6 + 
     30*T1^12*T2^6 - 215*T1*T2^7 - 2751*T1^2*T2^7 + 9915*T1^3*T2^7 + 
     20076*T1^4*T2^7 - 95363*T1^5*T2^7 + 61674*T1^6*T2^7 + 61674*T1^7*T2^7 - 
     95363*T1^8*T2^7 + 20076*T1^9*T2^7 + 9915*T1^10*T2^7 - 2751*T1^11*T2^7 - 
     215*T1^12*T2^7 + 599*T1^2*T2^8 + 1556*T1^3*T2^8 - 17627*T1^4*T2^8 + 
     20076*T1^5*T2^8 + 47221*T1^6*T2^8 - 95363*T1^7*T2^8 + 47221*T1^8*T2^8 + 
     20076*T1^9*T2^8 - 17627*T1^10*T2^8 + 1556*T1^11*T2^8 + 599*T1^12*T2^8 - 
     816*T1^3*T2^9 + 1556*T1^4*T2^9 + 9915*T1^5*T2^9 - 32530*T1^6*T2^9 + 
     20076*T1^7*T2^9 + 20076*T1^8*T2^9 - 32530*T1^9*T2^9 + 9915*T1^10*T2^9 + 
     1556*T1^11*T2^9 - 816*T1^12*T2^9 + 599*T1^4*T2^10 - 2751*T1^5*T2^10 + 
     1561*T1^6*T2^10 + 9915*T1^7*T2^10 - 17627*T1^8*T2^10 + 9915*T1^9*T2^10 + 
     1561*T1^10*T2^10 - 2751*T1^11*T2^10 + 599*T1^12*T2^10 - 215*T1^5*T2^11 + 
     1326*T1^6*T2^11 - 2751*T1^7*T2^11 + 1556*T1^8*T2^11 + 1556*T1^9*T2^11 - 
     2751*T1^10*T2^11 + 1326*T1^11*T2^11 - 215*T1^12*T2^11 + 30*T1^6*T2^12 - 
     215*T1^7*T2^12 + 599*T1^8*T2^12 - 816*T1^9*T2^12 + 599*T1^10*T2^12 - 
     215*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 338] -> 
  {(2 - 16*T + 45*T^2 - 61*T^3 + 45*T^4 - 16*T^5 + 2*T^6)/T^3, 
   (9 - 71*T1 + 197*T1^2 - 265*T1^3 + 197*T1^4 - 71*T1^5 + 9*T1^6 - 71*T2 + 
     490*T1*T2 - 998*T1^2*T2 + 540*T1^3*T2 + 540*T1^4*T2 - 998*T1^5*T2 + 
     490*T1^6*T2 - 71*T1^7*T2 + 197*T2^2 - 998*T1*T2^2 + 138*T1^2*T2^2 + 
     4778*T1^3*T2^2 - 7720*T1^4*T2^2 + 4778*T1^5*T2^2 + 138*T1^6*T2^2 - 
     998*T1^7*T2^2 + 197*T1^8*T2^2 - 265*T2^3 + 540*T1*T2^3 + 
     4778*T1^2*T2^3 - 13936*T1^3*T2^3 + 7948*T1^4*T2^3 + 7948*T1^5*T2^3 - 
     13936*T1^6*T2^3 + 4778*T1^7*T2^3 + 540*T1^8*T2^3 - 265*T1^9*T2^3 + 
     197*T2^4 + 540*T1*T2^4 - 7720*T1^2*T2^4 + 7948*T1^3*T2^4 + 
     20253*T1^4*T2^4 - 38069*T1^5*T2^4 + 20253*T1^6*T2^4 + 7948*T1^7*T2^4 - 
     7720*T1^8*T2^4 + 540*T1^9*T2^4 + 197*T1^10*T2^4 - 71*T2^5 - 
     998*T1*T2^5 + 4778*T1^2*T2^5 + 7948*T1^3*T2^5 - 38069*T1^4*T2^5 + 
     22898*T1^5*T2^5 + 22898*T1^6*T2^5 - 38069*T1^7*T2^5 + 7948*T1^8*T2^5 + 
     4778*T1^9*T2^5 - 998*T1^10*T2^5 - 71*T1^11*T2^5 + 9*T2^6 + 490*T1*T2^6 + 
     138*T1^2*T2^6 - 13936*T1^3*T2^6 + 20253*T1^4*T2^6 + 22898*T1^5*T2^6 - 
     51516*T1^6*T2^6 + 22898*T1^7*T2^6 + 20253*T1^8*T2^6 - 13936*T1^9*T2^6 + 
     138*T1^10*T2^6 + 490*T1^11*T2^6 + 9*T1^12*T2^6 - 71*T1*T2^7 - 
     998*T1^2*T2^7 + 4778*T1^3*T2^7 + 7948*T1^4*T2^7 - 38069*T1^5*T2^7 + 
     22898*T1^6*T2^7 + 22898*T1^7*T2^7 - 38069*T1^8*T2^7 + 7948*T1^9*T2^7 + 
     4778*T1^10*T2^7 - 998*T1^11*T2^7 - 71*T1^12*T2^7 + 197*T1^2*T2^8 + 
     540*T1^3*T2^8 - 7720*T1^4*T2^8 + 7948*T1^5*T2^8 + 20253*T1^6*T2^8 - 
     38069*T1^7*T2^8 + 20253*T1^8*T2^8 + 7948*T1^9*T2^8 - 7720*T1^10*T2^8 + 
     540*T1^11*T2^8 + 197*T1^12*T2^8 - 265*T1^3*T2^9 + 540*T1^4*T2^9 + 
     4778*T1^5*T2^9 - 13936*T1^6*T2^9 + 7948*T1^7*T2^9 + 7948*T1^8*T2^9 - 
     13936*T1^9*T2^9 + 4778*T1^10*T2^9 + 540*T1^11*T2^9 - 265*T1^12*T2^9 + 
     197*T1^4*T2^10 - 998*T1^5*T2^10 + 138*T1^6*T2^10 + 4778*T1^7*T2^10 - 
     7720*T1^8*T2^10 + 4778*T1^9*T2^10 + 138*T1^10*T2^10 - 998*T1^11*T2^10 + 
     197*T1^12*T2^10 - 71*T1^5*T2^11 + 490*T1^6*T2^11 - 998*T1^7*T2^11 + 
     540*T1^8*T2^11 + 540*T1^9*T2^11 - 998*T1^10*T2^11 + 490*T1^11*T2^11 - 
     71*T1^12*T2^11 + 9*T1^6*T2^12 - 71*T1^7*T2^12 + 197*T1^8*T2^12 - 
     265*T1^9*T2^12 + 197*T1^10*T2^12 - 71*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 339] -> 
  {-((9 - 39*T + 59*T^2 - 39*T^3 + 9*T^4)/T^2), 
   -((999 - 4323*T1 + 6503*T1^2 - 4323*T1^3 + 999*T1^4 - 4323*T2 + 
      14412*T1*T2 - 9469*T1^2*T2 - 9469*T1^3*T2 + 14412*T1^4*T2 - 
      4323*T1^5*T2 + 6503*T2^2 - 9469*T1*T2^2 - 32047*T1^2*T2^2 + 
      65565*T1^3*T2^2 - 32047*T1^4*T2^2 - 9469*T1^5*T2^2 + 6503*T1^6*T2^2 - 
      4323*T2^3 - 9469*T1*T2^3 + 65565*T1^2*T2^3 - 47278*T1^3*T2^3 - 
      47278*T1^4*T2^3 + 65565*T1^5*T2^3 - 9469*T1^6*T2^3 - 4323*T1^7*T2^3 + 
      999*T2^4 + 14412*T1*T2^4 - 32047*T1^2*T2^4 - 47278*T1^3*T2^4 + 
      116580*T1^4*T2^4 - 47278*T1^5*T2^4 - 32047*T1^6*T2^4 + 
      14412*T1^7*T2^4 + 999*T1^8*T2^4 - 4323*T1*T2^5 - 9469*T1^2*T2^5 + 
      65565*T1^3*T2^5 - 47278*T1^4*T2^5 - 47278*T1^5*T2^5 + 65565*T1^6*T2^5 - 
      9469*T1^7*T2^5 - 4323*T1^8*T2^5 + 6503*T1^2*T2^6 - 9469*T1^3*T2^6 - 
      32047*T1^4*T2^6 + 65565*T1^5*T2^6 - 32047*T1^6*T2^6 - 9469*T1^7*T2^6 + 
      6503*T1^8*T2^6 - 4323*T1^3*T2^7 + 14412*T1^4*T2^7 - 9469*T1^5*T2^7 - 
      9469*T1^6*T2^7 + 14412*T1^7*T2^7 - 4323*T1^8*T2^7 + 999*T1^4*T2^8 - 
      4323*T1^5*T2^8 + 6503*T1^6*T2^8 - 4323*T1^7*T2^8 + 999*T1^8*T2^8)/
     (T1^4*T2^4))}, Knot[12, Alternating, 340] -> 
  {(3 - 21*T + 59*T^2 - 81*T^3 + 59*T^4 - 21*T^5 + 3*T^6)/T^3, 
   (30 - 207*T1 + 580*T1^2 - 794*T1^3 + 580*T1^4 - 207*T1^5 + 30*T1^6 - 
     207*T2 + 1218*T1*T2 - 2562*T1^2*T2 + 1470*T1^3*T2 + 1470*T1^4*T2 - 
     2562*T1^5*T2 + 1218*T1^6*T2 - 207*T1^7*T2 + 580*T2^2 - 2562*T1*T2^2 + 
     1992*T1^2*T2^2 + 7819*T1^3*T2^2 - 14696*T1^4*T2^2 + 7819*T1^5*T2^2 + 
     1992*T1^6*T2^2 - 2562*T1^7*T2^2 + 580*T1^8*T2^2 - 794*T2^3 + 
     1470*T1*T2^3 + 7819*T1^2*T2^3 - 27732*T1^3*T2^3 + 17564*T1^4*T2^3 + 
     17564*T1^5*T2^3 - 27732*T1^6*T2^3 + 7819*T1^7*T2^3 + 1470*T1^8*T2^3 - 
     794*T1^9*T2^3 + 580*T2^4 + 1470*T1*T2^4 - 14696*T1^2*T2^4 + 
     17564*T1^3*T2^4 + 40794*T1^4*T2^4 - 83762*T1^5*T2^4 + 40794*T1^6*T2^4 + 
     17564*T1^7*T2^4 - 14696*T1^8*T2^4 + 1470*T1^9*T2^4 + 580*T1^10*T2^4 - 
     207*T2^5 - 2562*T1*T2^5 + 7819*T1^2*T2^5 + 17564*T1^3*T2^5 - 
     83762*T1^4*T2^5 + 54998*T1^5*T2^5 + 54998*T1^6*T2^5 - 83762*T1^7*T2^5 + 
     17564*T1^8*T2^5 + 7819*T1^9*T2^5 - 2562*T1^10*T2^5 - 207*T1^11*T2^5 + 
     30*T2^6 + 1218*T1*T2^6 + 1992*T1^2*T2^6 - 27732*T1^3*T2^6 + 
     40794*T1^4*T2^6 + 54998*T1^5*T2^6 - 128256*T1^6*T2^6 + 54998*T1^7*T2^6 + 
     40794*T1^8*T2^6 - 27732*T1^9*T2^6 + 1992*T1^10*T2^6 + 1218*T1^11*T2^6 + 
     30*T1^12*T2^6 - 207*T1*T2^7 - 2562*T1^2*T2^7 + 7819*T1^3*T2^7 + 
     17564*T1^4*T2^7 - 83762*T1^5*T2^7 + 54998*T1^6*T2^7 + 54998*T1^7*T2^7 - 
     83762*T1^8*T2^7 + 17564*T1^9*T2^7 + 7819*T1^10*T2^7 - 2562*T1^11*T2^7 - 
     207*T1^12*T2^7 + 580*T1^2*T2^8 + 1470*T1^3*T2^8 - 14696*T1^4*T2^8 + 
     17564*T1^5*T2^8 + 40794*T1^6*T2^8 - 83762*T1^7*T2^8 + 40794*T1^8*T2^8 + 
     17564*T1^9*T2^8 - 14696*T1^10*T2^8 + 1470*T1^11*T2^8 + 580*T1^12*T2^8 - 
     794*T1^3*T2^9 + 1470*T1^4*T2^9 + 7819*T1^5*T2^9 - 27732*T1^6*T2^9 + 
     17564*T1^7*T2^9 + 17564*T1^8*T2^9 - 27732*T1^9*T2^9 + 7819*T1^10*T2^9 + 
     1470*T1^11*T2^9 - 794*T1^12*T2^9 + 580*T1^4*T2^10 - 2562*T1^5*T2^10 + 
     1992*T1^6*T2^10 + 7819*T1^7*T2^10 - 14696*T1^8*T2^10 + 7819*T1^9*T2^10 + 
     1992*T1^10*T2^10 - 2562*T1^11*T2^10 + 580*T1^12*T2^10 - 207*T1^5*T2^11 + 
     1218*T1^6*T2^11 - 2562*T1^7*T2^11 + 1470*T1^8*T2^11 + 1470*T1^9*T2^11 - 
     2562*T1^10*T2^11 + 1218*T1^11*T2^11 - 207*T1^12*T2^11 + 30*T1^6*T2^12 - 
     207*T1^7*T2^12 + 580*T1^8*T2^12 - 794*T1^9*T2^12 + 580*T1^10*T2^12 - 
     207*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 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, 
   0}, 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, 
   (T1 - 4*T1^2 + 6*T1^3 - 4*T1^4 + T1^5 + T2 - 10*T1*T2 + 21*T1^2*T2 - 
     12*T1^3*T2 - 12*T1^4*T2 + 21*T1^5*T2 - 10*T1^6*T2 + T1^7*T2 - 4*T2^2 + 
     21*T1*T2^2 - 12*T1^2*T2^2 - 32*T1^3*T2^2 + 56*T1^4*T2^2 - 32*T1^5*T2^2 - 
     12*T1^6*T2^2 + 21*T1^7*T2^2 - 4*T1^8*T2^2 + 6*T2^3 - 12*T1*T2^3 - 
     32*T1^2*T2^3 + 44*T1^3*T2^3 - 15*T1^4*T2^3 - 15*T1^5*T2^3 + 
     44*T1^6*T2^3 - 32*T1^7*T2^3 - 12*T1^8*T2^3 + 6*T1^9*T2^3 - 4*T2^4 - 
     12*T1*T2^4 + 56*T1^2*T2^4 - 15*T1^3*T2^4 + 45*T1^4*T2^4 - 73*T1^5*T2^4 + 
     45*T1^6*T2^4 - 15*T1^7*T2^4 + 56*T1^8*T2^4 - 12*T1^9*T2^4 - 
     4*T1^10*T2^4 + T2^5 + 21*T1*T2^5 - 32*T1^2*T2^5 - 15*T1^3*T2^5 - 
     73*T1^4*T2^5 + 28*T1^5*T2^5 + 28*T1^6*T2^5 - 73*T1^7*T2^5 - 
     15*T1^8*T2^5 - 32*T1^9*T2^5 + 21*T1^10*T2^5 + T1^11*T2^5 - 10*T1*T2^6 - 
     12*T1^2*T2^6 + 44*T1^3*T2^6 + 45*T1^4*T2^6 + 28*T1^5*T2^6 - 
     12*T1^6*T2^6 + 28*T1^7*T2^6 + 45*T1^8*T2^6 + 44*T1^9*T2^6 - 
     12*T1^10*T2^6 - 10*T1^11*T2^6 + T1*T2^7 + 21*T1^2*T2^7 - 32*T1^3*T2^7 - 
     15*T1^4*T2^7 - 73*T1^5*T2^7 + 28*T1^6*T2^7 + 28*T1^7*T2^7 - 
     73*T1^8*T2^7 - 15*T1^9*T2^7 - 32*T1^10*T2^7 + 21*T1^11*T2^7 + 
     T1^12*T2^7 - 4*T1^2*T2^8 - 12*T1^3*T2^8 + 56*T1^4*T2^8 - 15*T1^5*T2^8 + 
     45*T1^6*T2^8 - 73*T1^7*T2^8 + 45*T1^8*T2^8 - 15*T1^9*T2^8 + 
     56*T1^10*T2^8 - 12*T1^11*T2^8 - 4*T1^12*T2^8 + 6*T1^3*T2^9 - 
     12*T1^4*T2^9 - 32*T1^5*T2^9 + 44*T1^6*T2^9 - 15*T1^7*T2^9 - 
     15*T1^8*T2^9 + 44*T1^9*T2^9 - 32*T1^10*T2^9 - 12*T1^11*T2^9 + 
     6*T1^12*T2^9 - 4*T1^4*T2^10 + 21*T1^5*T2^10 - 12*T1^6*T2^10 - 
     32*T1^7*T2^10 + 56*T1^8*T2^10 - 32*T1^9*T2^10 - 12*T1^10*T2^10 + 
     21*T1^11*T2^10 - 4*T1^12*T2^10 + T1^5*T2^11 - 10*T1^6*T2^11 + 
     21*T1^7*T2^11 - 12*T1^8*T2^11 - 12*T1^9*T2^11 + 21*T1^10*T2^11 - 
     10*T1^11*T2^11 + T1^12*T2^11 + T1^7*T2^12 - 4*T1^8*T2^12 + 
     6*T1^9*T2^12 - 4*T1^10*T2^12 + T1^11*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 343] -> 
  {(3 - 19*T + 47*T^2 - 61*T^3 + 47*T^4 - 19*T^5 + 3*T^6)/T^3, 
   (30 - 191*T1 + 472*T1^2 - 610*T1^3 + 472*T1^4 - 191*T1^5 + 30*T1^6 - 
     191*T2 + 1022*T1*T2 - 1781*T1^2*T2 + 875*T1^3*T2 + 875*T1^4*T2 - 
     1781*T1^5*T2 + 1022*T1^6*T2 - 191*T1^7*T2 + 472*T2^2 - 1781*T1*T2^2 + 
     197*T1^2*T2^2 + 6341*T1^3*T2^2 - 9649*T1^4*T2^2 + 6341*T1^5*T2^2 + 
     197*T1^6*T2^2 - 1781*T1^7*T2^2 + 472*T1^8*T2^2 - 610*T2^3 + 
     875*T1*T2^3 + 6341*T1^2*T2^3 - 15974*T1^3*T2^3 + 8107*T1^4*T2^3 + 
     8107*T1^5*T2^3 - 15974*T1^6*T2^3 + 6341*T1^7*T2^3 + 875*T1^8*T2^3 - 
     610*T1^9*T2^3 + 472*T2^4 + 875*T1*T2^4 - 9649*T1^2*T2^4 + 
     8107*T1^3*T2^4 + 20530*T1^4*T2^4 - 35484*T1^5*T2^4 + 20530*T1^6*T2^4 + 
     8107*T1^7*T2^4 - 9649*T1^8*T2^4 + 875*T1^9*T2^4 + 472*T1^10*T2^4 - 
     191*T2^5 - 1781*T1*T2^5 + 6341*T1^2*T2^5 + 8107*T1^3*T2^5 - 
     35484*T1^4*T2^5 + 19170*T1^5*T2^5 + 19170*T1^6*T2^5 - 35484*T1^7*T2^5 + 
     8107*T1^8*T2^5 + 6341*T1^9*T2^5 - 1781*T1^10*T2^5 - 191*T1^11*T2^5 + 
     30*T2^6 + 1022*T1*T2^6 + 197*T1^2*T2^6 - 15974*T1^3*T2^6 + 
     20530*T1^4*T2^6 + 19170*T1^5*T2^6 - 41268*T1^6*T2^6 + 19170*T1^7*T2^6 + 
     20530*T1^8*T2^6 - 15974*T1^9*T2^6 + 197*T1^10*T2^6 + 1022*T1^11*T2^6 + 
     30*T1^12*T2^6 - 191*T1*T2^7 - 1781*T1^2*T2^7 + 6341*T1^3*T2^7 + 
     8107*T1^4*T2^7 - 35484*T1^5*T2^7 + 19170*T1^6*T2^7 + 19170*T1^7*T2^7 - 
     35484*T1^8*T2^7 + 8107*T1^9*T2^7 + 6341*T1^10*T2^7 - 1781*T1^11*T2^7 - 
     191*T1^12*T2^7 + 472*T1^2*T2^8 + 875*T1^3*T2^8 - 9649*T1^4*T2^8 + 
     8107*T1^5*T2^8 + 20530*T1^6*T2^8 - 35484*T1^7*T2^8 + 20530*T1^8*T2^8 + 
     8107*T1^9*T2^8 - 9649*T1^10*T2^8 + 875*T1^11*T2^8 + 472*T1^12*T2^8 - 
     610*T1^3*T2^9 + 875*T1^4*T2^9 + 6341*T1^5*T2^9 - 15974*T1^6*T2^9 + 
     8107*T1^7*T2^9 + 8107*T1^8*T2^9 - 15974*T1^9*T2^9 + 6341*T1^10*T2^9 + 
     875*T1^11*T2^9 - 610*T1^12*T2^9 + 472*T1^4*T2^10 - 1781*T1^5*T2^10 + 
     197*T1^6*T2^10 + 6341*T1^7*T2^10 - 9649*T1^8*T2^10 + 6341*T1^9*T2^10 + 
     197*T1^10*T2^10 - 1781*T1^11*T2^10 + 472*T1^12*T2^10 - 191*T1^5*T2^11 + 
     1022*T1^6*T2^11 - 1781*T1^7*T2^11 + 875*T1^8*T2^11 + 875*T1^9*T2^11 - 
     1781*T1^10*T2^11 + 1022*T1^11*T2^11 - 191*T1^12*T2^11 + 30*T1^6*T2^12 - 
     191*T1^7*T2^12 + 472*T1^8*T2^12 - 610*T1^9*T2^12 + 472*T1^10*T2^12 - 
     191*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 344] -> 
  {(5 - 17*T + 30*T^2 - 35*T^3 + 30*T^4 - 17*T^5 + 5*T^6)/T^3, 
   (415 - 1381*T1 + 2406*T1^2 - 2789*T1^3 + 2406*T1^4 - 1381*T1^5 + 
     415*T1^6 - 1381*T2 + 3244*T1*T2 - 3470*T1^2*T2 + 1310*T1^3*T2 + 
     1310*T1^4*T2 - 3470*T1^5*T2 + 3244*T1^6*T2 - 1381*T1^7*T2 + 2406*T2^2 - 
     3470*T1*T2^2 + 913*T1^2*T2^2 + 3109*T1^3*T2^2 - 3953*T1^4*T2^2 + 
     3109*T1^5*T2^2 + 913*T1^6*T2^2 - 3470*T1^7*T2^2 + 2406*T1^8*T2^2 - 
     2789*T2^3 + 1310*T1*T2^3 + 3109*T1^2*T2^3 - 5084*T1^3*T2^3 + 
     1273*T1^4*T2^3 + 1273*T1^5*T2^3 - 5084*T1^6*T2^3 + 3109*T1^7*T2^3 + 
     1310*T1^8*T2^3 - 2789*T1^9*T2^3 + 2406*T2^4 + 1310*T1*T2^4 - 
     3953*T1^2*T2^4 + 1273*T1^3*T2^4 + 4822*T1^4*T2^4 - 4408*T1^5*T2^4 + 
     4822*T1^6*T2^4 + 1273*T1^7*T2^4 - 3953*T1^8*T2^4 + 1310*T1^9*T2^4 + 
     2406*T1^10*T2^4 - 1381*T2^5 - 3470*T1*T2^5 + 3109*T1^2*T2^5 + 
     1273*T1^3*T2^5 - 4408*T1^4*T2^5 - 12*T1^5*T2^5 - 12*T1^6*T2^5 - 
     4408*T1^7*T2^5 + 1273*T1^8*T2^5 + 3109*T1^9*T2^5 - 3470*T1^10*T2^5 - 
     1381*T1^11*T2^5 + 415*T2^6 + 3244*T1*T2^6 + 913*T1^2*T2^6 - 
     5084*T1^3*T2^6 + 4822*T1^4*T2^6 - 12*T1^5*T2^6 + 2148*T1^6*T2^6 - 
     12*T1^7*T2^6 + 4822*T1^8*T2^6 - 5084*T1^9*T2^6 + 913*T1^10*T2^6 + 
     3244*T1^11*T2^6 + 415*T1^12*T2^6 - 1381*T1*T2^7 - 3470*T1^2*T2^7 + 
     3109*T1^3*T2^7 + 1273*T1^4*T2^7 - 4408*T1^5*T2^7 - 12*T1^6*T2^7 - 
     12*T1^7*T2^7 - 4408*T1^8*T2^7 + 1273*T1^9*T2^7 + 3109*T1^10*T2^7 - 
     3470*T1^11*T2^7 - 1381*T1^12*T2^7 + 2406*T1^2*T2^8 + 1310*T1^3*T2^8 - 
     3953*T1^4*T2^8 + 1273*T1^5*T2^8 + 4822*T1^6*T2^8 - 4408*T1^7*T2^8 + 
     4822*T1^8*T2^8 + 1273*T1^9*T2^8 - 3953*T1^10*T2^8 + 1310*T1^11*T2^8 + 
     2406*T1^12*T2^8 - 2789*T1^3*T2^9 + 1310*T1^4*T2^9 + 3109*T1^5*T2^9 - 
     5084*T1^6*T2^9 + 1273*T1^7*T2^9 + 1273*T1^8*T2^9 - 5084*T1^9*T2^9 + 
     3109*T1^10*T2^9 + 1310*T1^11*T2^9 - 2789*T1^12*T2^9 + 2406*T1^4*T2^10 - 
     3470*T1^5*T2^10 + 913*T1^6*T2^10 + 3109*T1^7*T2^10 - 3953*T1^8*T2^10 + 
     3109*T1^9*T2^10 + 913*T1^10*T2^10 - 3470*T1^11*T2^10 + 
     2406*T1^12*T2^10 - 1381*T1^5*T2^11 + 3244*T1^6*T2^11 - 3470*T1^7*T2^11 + 
     1310*T1^8*T2^11 + 1310*T1^9*T2^11 - 3470*T1^10*T2^11 + 
     3244*T1^11*T2^11 - 1381*T1^12*T2^11 + 415*T1^6*T2^12 - 1381*T1^7*T2^12 + 
     2406*T1^8*T2^12 - 2789*T1^9*T2^12 + 2406*T1^10*T2^12 - 
     1381*T1^11*T2^12 + 415*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 345] -> {((2 - 3*T + 2*T^2)*(4 - 7*T + 4*T^2))/T^2, 
   (1304 - 4154*T1 + 5890*T1^2 - 4154*T1^3 + 1304*T1^4 - 4154*T2 + 
     9116*T1*T2 - 5556*T1^2*T2 - 5556*T1^3*T2 + 9116*T1^4*T2 - 4154*T1^5*T2 + 
     5890*T2^2 - 5556*T1*T2^2 - 10037*T1^2*T2^2 + 22901*T1^3*T2^2 - 
     10037*T1^4*T2^2 - 5556*T1^5*T2^2 + 5890*T1^6*T2^2 - 4154*T2^3 - 
     5556*T1*T2^3 + 22901*T1^2*T2^3 - 16342*T1^3*T2^3 - 16342*T1^4*T2^3 + 
     22901*T1^5*T2^3 - 5556*T1^6*T2^3 - 4154*T1^7*T2^3 + 1304*T2^4 + 
     9116*T1*T2^4 - 10037*T1^2*T2^4 - 16342*T1^3*T2^4 + 39528*T1^4*T2^4 - 
     16342*T1^5*T2^4 - 10037*T1^6*T2^4 + 9116*T1^7*T2^4 + 1304*T1^8*T2^4 - 
     4154*T1*T2^5 - 5556*T1^2*T2^5 + 22901*T1^3*T2^5 - 16342*T1^4*T2^5 - 
     16342*T1^5*T2^5 + 22901*T1^6*T2^5 - 5556*T1^7*T2^5 - 4154*T1^8*T2^5 + 
     5890*T1^2*T2^6 - 5556*T1^3*T2^6 - 10037*T1^4*T2^6 + 22901*T1^5*T2^6 - 
     10037*T1^6*T2^6 - 5556*T1^7*T2^6 + 5890*T1^8*T2^6 - 4154*T1^3*T2^7 + 
     9116*T1^4*T2^7 - 5556*T1^5*T2^7 - 5556*T1^6*T2^7 + 9116*T1^7*T2^7 - 
     4154*T1^8*T2^7 + 1304*T1^4*T2^8 - 4154*T1^5*T2^8 + 5890*T1^6*T2^8 - 
     4154*T1^7*T2^8 + 1304*T1^8*T2^8)/(T1^4*T2^4)}, 
 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, 
   (1 - 4*T1 + 7*T1^2 - 10*T1^3 + 13*T1^4 - 10*T1^5 + 7*T1^6 - 4*T1^7 + 
     T1^8 - 4*T2 + 12*T1*T2 - 12*T1^2*T2 + 13*T1^3*T2 - 13*T1^4*T2 - 
     13*T1^5*T2 + 13*T1^6*T2 - 12*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 7*T2^2 - 
     12*T1*T2^2 - 3*T1^2*T2^2 - 21*T1^3*T2^2 + 59*T1^4*T2^2 - 25*T1^5*T2^2 + 
     59*T1^6*T2^2 - 21*T1^7*T2^2 - 3*T1^8*T2^2 - 12*T1^9*T2^2 + 
     7*T1^10*T2^2 - 10*T2^3 + 13*T1*T2^3 - 21*T1^2*T2^3 + 174*T1^3*T2^3 - 
     282*T1^4*T2^3 + 64*T1^5*T2^3 + 64*T1^6*T2^3 - 282*T1^7*T2^3 + 
     174*T1^8*T2^3 - 21*T1^9*T2^3 + 13*T1^10*T2^3 - 10*T1^11*T2^3 + 13*T2^4 - 
     13*T1*T2^4 + 59*T1^2*T2^4 - 282*T1^3*T2^4 + 67*T1^4*T2^4 + 
     912*T1^5*T2^4 - 1121*T1^6*T2^4 + 912*T1^7*T2^4 + 67*T1^8*T2^4 - 
     282*T1^9*T2^4 + 59*T1^10*T2^4 - 13*T1^11*T2^4 + 13*T1^12*T2^4 - 
     10*T2^5 - 13*T1*T2^5 - 25*T1^2*T2^5 + 64*T1^3*T2^5 + 912*T1^4*T2^5 - 
     2282*T1^5*T2^5 + 849*T1^6*T2^5 + 849*T1^7*T2^5 - 2282*T1^8*T2^5 + 
     912*T1^9*T2^5 + 64*T1^10*T2^5 - 25*T1^11*T2^5 - 13*T1^12*T2^5 - 
     10*T1^13*T2^5 + 7*T2^6 + 13*T1*T2^6 + 59*T1^2*T2^6 + 64*T1^3*T2^6 - 
     1121*T1^4*T2^6 + 849*T1^5*T2^6 + 3366*T1^6*T2^6 - 4480*T1^7*T2^6 + 
     3366*T1^8*T2^6 + 849*T1^9*T2^6 - 1121*T1^10*T2^6 + 64*T1^11*T2^6 + 
     59*T1^12*T2^6 + 13*T1^13*T2^6 + 7*T1^14*T2^6 - 4*T2^7 - 12*T1*T2^7 - 
     21*T1^2*T2^7 - 282*T1^3*T2^7 + 912*T1^4*T2^7 + 849*T1^5*T2^7 - 
     4480*T1^6*T2^7 + 1550*T1^7*T2^7 + 1550*T1^8*T2^7 - 4480*T1^9*T2^7 + 
     849*T1^10*T2^7 + 912*T1^11*T2^7 - 282*T1^12*T2^7 - 21*T1^13*T2^7 - 
     12*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 - 3*T1^2*T2^8 + 
     174*T1^3*T2^8 + 67*T1^4*T2^8 - 2282*T1^5*T2^8 + 3366*T1^6*T2^8 + 
     1550*T1^7*T2^8 - 2376*T1^8*T2^8 + 1550*T1^9*T2^8 + 3366*T1^10*T2^8 - 
     2282*T1^11*T2^8 + 67*T1^12*T2^8 + 174*T1^13*T2^8 - 3*T1^14*T2^8 + 
     12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 12*T1^2*T2^9 - 21*T1^3*T2^9 - 
     282*T1^4*T2^9 + 912*T1^5*T2^9 + 849*T1^6*T2^9 - 4480*T1^7*T2^9 + 
     1550*T1^8*T2^9 + 1550*T1^9*T2^9 - 4480*T1^10*T2^9 + 849*T1^11*T2^9 + 
     912*T1^12*T2^9 - 282*T1^13*T2^9 - 21*T1^14*T2^9 - 12*T1^15*T2^9 - 
     4*T1^16*T2^9 + 7*T1^2*T2^10 + 13*T1^3*T2^10 + 59*T1^4*T2^10 + 
     64*T1^5*T2^10 - 1121*T1^6*T2^10 + 849*T1^7*T2^10 + 3366*T1^8*T2^10 - 
     4480*T1^9*T2^10 + 3366*T1^10*T2^10 + 849*T1^11*T2^10 - 
     1121*T1^12*T2^10 + 64*T1^13*T2^10 + 59*T1^14*T2^10 + 13*T1^15*T2^10 + 
     7*T1^16*T2^10 - 10*T1^3*T2^11 - 13*T1^4*T2^11 - 25*T1^5*T2^11 + 
     64*T1^6*T2^11 + 912*T1^7*T2^11 - 2282*T1^8*T2^11 + 849*T1^9*T2^11 + 
     849*T1^10*T2^11 - 2282*T1^11*T2^11 + 912*T1^12*T2^11 + 64*T1^13*T2^11 - 
     25*T1^14*T2^11 - 13*T1^15*T2^11 - 10*T1^16*T2^11 + 13*T1^4*T2^12 - 
     13*T1^5*T2^12 + 59*T1^6*T2^12 - 282*T1^7*T2^12 + 67*T1^8*T2^12 + 
     912*T1^9*T2^12 - 1121*T1^10*T2^12 + 912*T1^11*T2^12 + 67*T1^12*T2^12 - 
     282*T1^13*T2^12 + 59*T1^14*T2^12 - 13*T1^15*T2^12 + 13*T1^16*T2^12 - 
     10*T1^5*T2^13 + 13*T1^6*T2^13 - 21*T1^7*T2^13 + 174*T1^8*T2^13 - 
     282*T1^9*T2^13 + 64*T1^10*T2^13 + 64*T1^11*T2^13 - 282*T1^12*T2^13 + 
     174*T1^13*T2^13 - 21*T1^14*T2^13 + 13*T1^15*T2^13 - 10*T1^16*T2^13 + 
     7*T1^6*T2^14 - 12*T1^7*T2^14 - 3*T1^8*T2^14 - 21*T1^9*T2^14 + 
     59*T1^10*T2^14 - 25*T1^11*T2^14 + 59*T1^12*T2^14 - 21*T1^13*T2^14 - 
     3*T1^14*T2^14 - 12*T1^15*T2^14 + 7*T1^16*T2^14 - 4*T1^7*T2^15 + 
     12*T1^8*T2^15 - 12*T1^9*T2^15 + 13*T1^10*T2^15 - 13*T1^11*T2^15 - 
     13*T1^12*T2^15 + 13*T1^13*T2^15 - 12*T1^14*T2^15 + 12*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 + 13*T1^12*T2^16 - 10*T1^13*T2^16 + 7*T1^14*T2^16 - 
     4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 347] -> 
  {((1 - T + T^2)*(4 - 19*T + 31*T^2 - 19*T^3 + 4*T^4))/T^3, 
   (2*(32 - 178*T1 + 402*T1^2 - 504*T1^3 + 402*T1^4 - 178*T1^5 + 32*T1^6 - 
      178*T2 + 819*T1*T2 - 1271*T1^2*T2 + 587*T1^3*T2 + 587*T1^4*T2 - 
      1271*T1^5*T2 + 819*T1^6*T2 - 178*T1^7*T2 + 402*T2^2 - 1271*T1*T2^2 - 
      11*T1^2*T2^2 + 3996*T1^3*T2^2 - 5815*T1^4*T2^2 + 3996*T1^5*T2^2 - 
      11*T1^6*T2^2 - 1271*T1^7*T2^2 + 402*T1^8*T2^2 - 504*T2^3 + 
      587*T1*T2^3 + 3996*T1^2*T2^3 - 8892*T1^3*T2^3 + 4207*T1^4*T2^3 + 
      4207*T1^5*T2^3 - 8892*T1^6*T2^3 + 3996*T1^7*T2^3 + 587*T1^8*T2^3 - 
      504*T1^9*T2^3 + 402*T2^4 + 587*T1*T2^4 - 5815*T1^2*T2^4 + 
      4207*T1^3*T2^4 + 10213*T1^4*T2^4 - 16795*T1^5*T2^4 + 10213*T1^6*T2^4 + 
      4207*T1^7*T2^4 - 5815*T1^8*T2^4 + 587*T1^9*T2^4 + 402*T1^10*T2^4 - 
      178*T2^5 - 1271*T1*T2^5 + 3996*T1^2*T2^5 + 4207*T1^3*T2^5 - 
      16795*T1^4*T2^5 + 8303*T1^5*T2^5 + 8303*T1^6*T2^5 - 16795*T1^7*T2^5 + 
      4207*T1^8*T2^5 + 3996*T1^9*T2^5 - 1271*T1^10*T2^5 - 178*T1^11*T2^5 + 
      32*T2^6 + 819*T1*T2^6 - 11*T1^2*T2^6 - 8892*T1^3*T2^6 + 
      10213*T1^4*T2^6 + 8303*T1^5*T2^6 - 17016*T1^6*T2^6 + 8303*T1^7*T2^6 + 
      10213*T1^8*T2^6 - 8892*T1^9*T2^6 - 11*T1^10*T2^6 + 819*T1^11*T2^6 + 
      32*T1^12*T2^6 - 178*T1*T2^7 - 1271*T1^2*T2^7 + 3996*T1^3*T2^7 + 
      4207*T1^4*T2^7 - 16795*T1^5*T2^7 + 8303*T1^6*T2^7 + 8303*T1^7*T2^7 - 
      16795*T1^8*T2^7 + 4207*T1^9*T2^7 + 3996*T1^10*T2^7 - 1271*T1^11*T2^7 - 
      178*T1^12*T2^7 + 402*T1^2*T2^8 + 587*T1^3*T2^8 - 5815*T1^4*T2^8 + 
      4207*T1^5*T2^8 + 10213*T1^6*T2^8 - 16795*T1^7*T2^8 + 10213*T1^8*T2^8 + 
      4207*T1^9*T2^8 - 5815*T1^10*T2^8 + 587*T1^11*T2^8 + 402*T1^12*T2^8 - 
      504*T1^3*T2^9 + 587*T1^4*T2^9 + 3996*T1^5*T2^9 - 8892*T1^6*T2^9 + 
      4207*T1^7*T2^9 + 4207*T1^8*T2^9 - 8892*T1^9*T2^9 + 3996*T1^10*T2^9 + 
      587*T1^11*T2^9 - 504*T1^12*T2^9 + 402*T1^4*T2^10 - 1271*T1^5*T2^10 - 
      11*T1^6*T2^10 + 3996*T1^7*T2^10 - 5815*T1^8*T2^10 + 3996*T1^9*T2^10 - 
      11*T1^10*T2^10 - 1271*T1^11*T2^10 + 402*T1^12*T2^10 - 178*T1^5*T2^11 + 
      819*T1^6*T2^11 - 1271*T1^7*T2^11 + 587*T1^8*T2^11 + 587*T1^9*T2^11 - 
      1271*T1^10*T2^11 + 819*T1^11*T2^11 - 178*T1^12*T2^11 + 32*T1^6*T2^12 - 
      178*T1^7*T2^12 + 402*T1^8*T2^12 - 504*T1^9*T2^12 + 402*T1^10*T2^12 - 
      178*T1^11*T2^12 + 32*T1^12*T2^12))/(T1^6*T2^6)}, 
 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)*
      (1 - 4*T1 + 7*T1^2 - 4*T1^3 + T1^4 - 4*T2 + 10*T1*T2 - 10*T1^2*T2 - 
       10*T1^3*T2 + 10*T1^4*T2 - 4*T1^5*T2 + 7*T2^2 - 10*T1*T2^2 + 
       17*T1^2*T2^2 - 7*T1^3*T2^2 + 17*T1^4*T2^2 - 10*T1^5*T2^2 + 
       7*T1^6*T2^2 - 4*T2^3 - 10*T1*T2^3 - 7*T1^2*T2^3 + 10*T1^3*T2^3 + 
       10*T1^4*T2^3 - 7*T1^5*T2^3 - 10*T1^6*T2^3 - 4*T1^7*T2^3 + T2^4 + 
       10*T1*T2^4 + 17*T1^2*T2^4 + 10*T1^3*T2^4 - 60*T1^4*T2^4 + 
       10*T1^5*T2^4 + 17*T1^6*T2^4 + 10*T1^7*T2^4 + T1^8*T2^4 - 4*T1*T2^5 - 
       10*T1^2*T2^5 - 7*T1^3*T2^5 + 10*T1^4*T2^5 + 10*T1^5*T2^5 - 
       7*T1^6*T2^5 - 10*T1^7*T2^5 - 4*T1^8*T2^5 + 7*T1^2*T2^6 - 
       10*T1^3*T2^6 + 17*T1^4*T2^6 - 7*T1^5*T2^6 + 17*T1^6*T2^6 - 
       10*T1^7*T2^6 + 7*T1^8*T2^6 - 4*T1^3*T2^7 + 10*T1^4*T2^7 - 
       10*T1^5*T2^7 - 10*T1^6*T2^7 + 10*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))/(T1^6*T2^6))}, 
 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 + 112*T1*T2 - 288*T1^2*T2 + 272*T1^3*T2 - 96*T1^4*T2 - 
      96*T1^5*T2 + 272*T1^6*T2 - 288*T1^7*T2 + 112*T1^8*T2 - 16*T1^9*T2 + 
      52*T2^2 - 288*T1*T2^2 + 378*T1^2*T2^2 + 685*T1^3*T2^2 - 
      1630*T1^4*T2^2 + 1836*T1^5*T2^2 - 1630*T1^6*T2^2 + 685*T1^7*T2^2 + 
      378*T1^8*T2^2 - 288*T1^9*T2^2 + 52*T1^10*T2^2 - 86*T2^3 + 272*T1*T2^3 + 
      685*T1^2*T2^3 - 3886*T1^3*T2^3 + 3605*T1^4*T2^3 - 1074*T1^5*T2^3 - 
      1074*T1^6*T2^3 + 3605*T1^7*T2^3 - 3886*T1^8*T2^3 + 685*T1^9*T2^3 + 
      272*T1^10*T2^3 - 86*T1^11*T2^3 + 98*T2^4 - 96*T1*T2^4 - 
      1630*T1^2*T2^4 + 3605*T1^3*T2^4 + 4636*T1^4*T2^4 - 11410*T1^5*T2^4 + 
      12278*T1^6*T2^4 - 11410*T1^7*T2^4 + 4636*T1^8*T2^4 + 3605*T1^9*T2^4 - 
      1630*T1^10*T2^4 - 96*T1^11*T2^4 + 98*T1^12*T2^4 - 86*T2^5 - 
      96*T1*T2^5 + 1836*T1^2*T2^5 - 1074*T1^3*T2^5 - 11410*T1^4*T2^5 + 
      10696*T1^5*T2^5 - 2537*T1^6*T2^5 - 2537*T1^7*T2^5 + 10696*T1^8*T2^5 - 
      11410*T1^9*T2^5 - 1074*T1^10*T2^5 + 1836*T1^11*T2^5 - 96*T1^12*T2^5 - 
      86*T1^13*T2^5 + 52*T2^6 + 272*T1*T2^6 - 1630*T1^2*T2^6 - 
      1074*T1^3*T2^6 + 12278*T1^4*T2^6 - 2537*T1^5*T2^6 - 5137*T1^6*T2^6 + 
      3799*T1^7*T2^6 - 5137*T1^8*T2^6 - 2537*T1^9*T2^6 + 12278*T1^10*T2^6 - 
      1074*T1^11*T2^6 - 1630*T1^12*T2^6 + 272*T1^13*T2^6 + 52*T1^14*T2^6 - 
      16*T2^7 - 288*T1*T2^7 + 685*T1^2*T2^7 + 3605*T1^3*T2^7 - 
      11410*T1^4*T2^7 - 2537*T1^5*T2^7 + 3799*T1^6*T2^7 + 928*T1^7*T2^7 + 
      928*T1^8*T2^7 + 3799*T1^9*T2^7 - 2537*T1^10*T2^7 - 11410*T1^11*T2^7 + 
      3605*T1^12*T2^7 + 685*T1^13*T2^7 - 288*T1^14*T2^7 - 16*T1^15*T2^7 + 
      2*T2^8 + 112*T1*T2^8 + 378*T1^2*T2^8 - 3886*T1^3*T2^8 + 
      4636*T1^4*T2^8 + 10696*T1^5*T2^8 - 5137*T1^6*T2^8 + 928*T1^7*T2^8 - 
      4164*T1^8*T2^8 + 928*T1^9*T2^8 - 5137*T1^10*T2^8 + 10696*T1^11*T2^8 + 
      4636*T1^12*T2^8 - 3886*T1^13*T2^8 + 378*T1^14*T2^8 + 112*T1^15*T2^8 + 
      2*T1^16*T2^8 - 16*T1*T2^9 - 288*T1^2*T2^9 + 685*T1^3*T2^9 + 
      3605*T1^4*T2^9 - 11410*T1^5*T2^9 - 2537*T1^6*T2^9 + 3799*T1^7*T2^9 + 
      928*T1^8*T2^9 + 928*T1^9*T2^9 + 3799*T1^10*T2^9 - 2537*T1^11*T2^9 - 
      11410*T1^12*T2^9 + 3605*T1^13*T2^9 + 685*T1^14*T2^9 - 288*T1^15*T2^9 - 
      16*T1^16*T2^9 + 52*T1^2*T2^10 + 272*T1^3*T2^10 - 1630*T1^4*T2^10 - 
      1074*T1^5*T2^10 + 12278*T1^6*T2^10 - 2537*T1^7*T2^10 - 
      5137*T1^8*T2^10 + 3799*T1^9*T2^10 - 5137*T1^10*T2^10 - 
      2537*T1^11*T2^10 + 12278*T1^12*T2^10 - 1074*T1^13*T2^10 - 
      1630*T1^14*T2^10 + 272*T1^15*T2^10 + 52*T1^16*T2^10 - 86*T1^3*T2^11 - 
      96*T1^4*T2^11 + 1836*T1^5*T2^11 - 1074*T1^6*T2^11 - 11410*T1^7*T2^11 + 
      10696*T1^8*T2^11 - 2537*T1^9*T2^11 - 2537*T1^10*T2^11 + 
      10696*T1^11*T2^11 - 11410*T1^12*T2^11 - 1074*T1^13*T2^11 + 
      1836*T1^14*T2^11 - 96*T1^15*T2^11 - 86*T1^16*T2^11 + 98*T1^4*T2^12 - 
      96*T1^5*T2^12 - 1630*T1^6*T2^12 + 3605*T1^7*T2^12 + 4636*T1^8*T2^12 - 
      11410*T1^9*T2^12 + 12278*T1^10*T2^12 - 11410*T1^11*T2^12 + 
      4636*T1^12*T2^12 + 3605*T1^13*T2^12 - 1630*T1^14*T2^12 - 
      96*T1^15*T2^12 + 98*T1^16*T2^12 - 86*T1^5*T2^13 + 272*T1^6*T2^13 + 
      685*T1^7*T2^13 - 3886*T1^8*T2^13 + 3605*T1^9*T2^13 - 1074*T1^10*T2^13 - 
      1074*T1^11*T2^13 + 3605*T1^12*T2^13 - 3886*T1^13*T2^13 + 
      685*T1^14*T2^13 + 272*T1^15*T2^13 - 86*T1^16*T2^13 + 52*T1^6*T2^14 - 
      288*T1^7*T2^14 + 378*T1^8*T2^14 + 685*T1^9*T2^14 - 1630*T1^10*T2^14 + 
      1836*T1^11*T2^14 - 1630*T1^12*T2^14 + 685*T1^13*T2^14 + 
      378*T1^14*T2^14 - 288*T1^15*T2^14 + 52*T1^16*T2^14 - 16*T1^7*T2^15 + 
      112*T1^8*T2^15 - 288*T1^9*T2^15 + 272*T1^10*T2^15 - 96*T1^11*T2^15 - 
      96*T1^12*T2^15 + 272*T1^13*T2^15 - 288*T1^14*T2^15 + 112*T1^15*T2^15 - 
      16*T1^16*T2^15 + 2*T1^8*T2^16 - 16*T1^9*T2^16 + 52*T1^10*T2^16 - 
      86*T1^11*T2^16 + 98*T1^12*T2^16 - 86*T1^13*T2^16 + 52*T1^14*T2^16 - 
      16*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 350] -> 
  {-((5 - 25*T + 52*T^2 - 65*T^3 + 52*T^4 - 25*T^5 + 5*T^6)/T^3), 
   -((270 - 1330*T1 + 2714*T1^2 - 3370*T1^3 + 2714*T1^4 - 1330*T1^5 + 
      270*T1^6 - 1330*T2 + 5252*T1*T2 - 6912*T1^2*T2 + 3290*T1^3*T2 + 
      3290*T1^4*T2 - 6912*T1^5*T2 + 5252*T1^6*T2 - 1330*T1^7*T2 + 2714*T2^2 - 
      6912*T1*T2^2 - 2176*T1^2*T2^2 + 19240*T1^3*T2^2 - 28352*T1^4*T2^2 + 
      19240*T1^5*T2^2 - 2176*T1^6*T2^2 - 6912*T1^7*T2^2 + 2714*T1^8*T2^2 - 
      3370*T2^3 + 3290*T1*T2^3 + 19240*T1^2*T2^3 - 32490*T1^3*T2^3 + 
      16863*T1^4*T2^3 + 16863*T1^5*T2^3 - 32490*T1^6*T2^3 + 19240*T1^7*T2^3 + 
      3290*T1^8*T2^3 - 3370*T1^9*T2^3 + 2714*T2^4 + 3290*T1*T2^4 - 
      28352*T1^2*T2^4 + 16863*T1^3*T2^4 + 20333*T1^4*T2^4 - 43149*T1^5*T2^4 + 
      20333*T1^6*T2^4 + 16863*T1^7*T2^4 - 28352*T1^8*T2^4 + 3290*T1^9*T2^4 + 
      2714*T1^10*T2^4 - 1330*T2^5 - 6912*T1*T2^5 + 19240*T1^2*T2^5 + 
      16863*T1^3*T2^5 - 43149*T1^4*T2^5 + 24966*T1^5*T2^5 + 24966*T1^6*T2^5 - 
      43149*T1^7*T2^5 + 16863*T1^8*T2^5 + 19240*T1^9*T2^5 - 6912*T1^10*T2^5 - 
      1330*T1^11*T2^5 + 270*T2^6 + 5252*T1*T2^6 - 2176*T1^2*T2^6 - 
      32490*T1^3*T2^6 + 20333*T1^4*T2^6 + 24966*T1^5*T2^6 - 54084*T1^6*T2^6 + 
      24966*T1^7*T2^6 + 20333*T1^8*T2^6 - 32490*T1^9*T2^6 - 2176*T1^10*T2^6 + 
      5252*T1^11*T2^6 + 270*T1^12*T2^6 - 1330*T1*T2^7 - 6912*T1^2*T2^7 + 
      19240*T1^3*T2^7 + 16863*T1^4*T2^7 - 43149*T1^5*T2^7 + 24966*T1^6*T2^7 + 
      24966*T1^7*T2^7 - 43149*T1^8*T2^7 + 16863*T1^9*T2^7 + 
      19240*T1^10*T2^7 - 6912*T1^11*T2^7 - 1330*T1^12*T2^7 + 2714*T1^2*T2^8 + 
      3290*T1^3*T2^8 - 28352*T1^4*T2^8 + 16863*T1^5*T2^8 + 20333*T1^6*T2^8 - 
      43149*T1^7*T2^8 + 20333*T1^8*T2^8 + 16863*T1^9*T2^8 - 
      28352*T1^10*T2^8 + 3290*T1^11*T2^8 + 2714*T1^12*T2^8 - 3370*T1^3*T2^9 + 
      3290*T1^4*T2^9 + 19240*T1^5*T2^9 - 32490*T1^6*T2^9 + 16863*T1^7*T2^9 + 
      16863*T1^8*T2^9 - 32490*T1^9*T2^9 + 19240*T1^10*T2^9 + 
      3290*T1^11*T2^9 - 3370*T1^12*T2^9 + 2714*T1^4*T2^10 - 6912*T1^5*T2^10 - 
      2176*T1^6*T2^10 + 19240*T1^7*T2^10 - 28352*T1^8*T2^10 + 
      19240*T1^9*T2^10 - 2176*T1^10*T2^10 - 6912*T1^11*T2^10 + 
      2714*T1^12*T2^10 - 1330*T1^5*T2^11 + 5252*T1^6*T2^11 - 
      6912*T1^7*T2^11 + 3290*T1^8*T2^11 + 3290*T1^9*T2^11 - 
      6912*T1^10*T2^11 + 5252*T1^11*T2^11 - 1330*T1^12*T2^11 + 
      270*T1^6*T2^12 - 1330*T1^7*T2^12 + 2714*T1^8*T2^12 - 3370*T1^9*T2^12 + 
      2714*T1^10*T2^12 - 1330*T1^11*T2^12 + 270*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   -((1 + T1 - T1^2 + 3*T1^3 - T1^4 + T1^5 + T1^6 + T2 - 26*T1*T2 + 
      18*T1^2*T2 - 18*T1^3*T2 - 18*T1^4*T2 + 18*T1^5*T2 - 26*T1^6*T2 + 
      T1^7*T2 - T2^2 + 18*T1*T2^2 + 149*T1^2*T2^2 - 201*T1^3*T2^2 + 
      323*T1^4*T2^2 - 201*T1^5*T2^2 + 149*T1^6*T2^2 + 18*T1^7*T2^2 - 
      T1^8*T2^2 + 3*T2^3 - 18*T1*T2^3 - 201*T1^2*T2^3 - 84*T1^3*T2^3 - 
      115*T1^4*T2^3 - 115*T1^5*T2^3 - 84*T1^6*T2^3 - 201*T1^7*T2^3 - 
      18*T1^8*T2^3 + 3*T1^9*T2^3 - T2^4 - 18*T1*T2^4 + 323*T1^2*T2^4 - 
      115*T1^3*T2^4 + 1304*T1^4*T2^4 - 1088*T1^5*T2^4 + 1304*T1^6*T2^4 - 
      115*T1^7*T2^4 + 323*T1^8*T2^4 - 18*T1^9*T2^4 - T1^10*T2^4 + T2^5 + 
      18*T1*T2^5 - 201*T1^2*T2^5 - 115*T1^3*T2^5 - 1088*T1^4*T2^5 - 
      164*T1^5*T2^5 - 164*T1^6*T2^5 - 1088*T1^7*T2^5 - 115*T1^8*T2^5 - 
      201*T1^9*T2^5 + 18*T1^10*T2^5 + T1^11*T2^5 + T2^6 - 26*T1*T2^6 + 
      149*T1^2*T2^6 - 84*T1^3*T2^6 + 1304*T1^4*T2^6 - 164*T1^5*T2^6 + 
      1284*T1^6*T2^6 - 164*T1^7*T2^6 + 1304*T1^8*T2^6 - 84*T1^9*T2^6 + 
      149*T1^10*T2^6 - 26*T1^11*T2^6 + T1^12*T2^6 + T1*T2^7 + 18*T1^2*T2^7 - 
      201*T1^3*T2^7 - 115*T1^4*T2^7 - 1088*T1^5*T2^7 - 164*T1^6*T2^7 - 
      164*T1^7*T2^7 - 1088*T1^8*T2^7 - 115*T1^9*T2^7 - 201*T1^10*T2^7 + 
      18*T1^11*T2^7 + T1^12*T2^7 - T1^2*T2^8 - 18*T1^3*T2^8 + 323*T1^4*T2^8 - 
      115*T1^5*T2^8 + 1304*T1^6*T2^8 - 1088*T1^7*T2^8 + 1304*T1^8*T2^8 - 
      115*T1^9*T2^8 + 323*T1^10*T2^8 - 18*T1^11*T2^8 - T1^12*T2^8 + 
      3*T1^3*T2^9 - 18*T1^4*T2^9 - 201*T1^5*T2^9 - 84*T1^6*T2^9 - 
      115*T1^7*T2^9 - 115*T1^8*T2^9 - 84*T1^9*T2^9 - 201*T1^10*T2^9 - 
      18*T1^11*T2^9 + 3*T1^12*T2^9 - T1^4*T2^10 + 18*T1^5*T2^10 + 
      149*T1^6*T2^10 - 201*T1^7*T2^10 + 323*T1^8*T2^10 - 201*T1^9*T2^10 + 
      149*T1^10*T2^10 + 18*T1^11*T2^10 - T1^12*T2^10 + T1^5*T2^11 - 
      26*T1^6*T2^11 + 18*T1^7*T2^11 - 18*T1^8*T2^11 - 18*T1^9*T2^11 + 
      18*T1^10*T2^11 - 26*T1^11*T2^11 + T1^12*T2^11 + T1^6*T2^12 + 
      T1^7*T2^12 - T1^8*T2^12 + 3*T1^9*T2^12 - T1^10*T2^12 + T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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), (1 - 8*T1 + 28*T1^2 - 57*T1^3 + 71*T1^4 - 57*T1^5 + 28*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 160*T1^2*T2 + 232*T1^3*T2 - 
     112*T1^4*T2 - 112*T1^5*T2 + 232*T1^6*T2 - 160*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 28*T2^2 - 160*T1*T2^2 + 300*T1^2*T2^2 - 24*T1^3*T2^2 - 
     897*T1^4*T2^2 + 1384*T1^5*T2^2 - 897*T1^6*T2^2 - 24*T1^7*T2^2 + 
     300*T1^8*T2^2 - 160*T1^9*T2^2 + 28*T1^10*T2^2 - 57*T2^3 + 232*T1*T2^3 - 
     24*T1^2*T2^3 - 1336*T1^3*T2^3 + 3050*T1^4*T2^3 - 1575*T1^5*T2^3 - 
     1575*T1^6*T2^3 + 3050*T1^7*T2^3 - 1336*T1^8*T2^3 - 24*T1^9*T2^3 + 
     232*T1^10*T2^3 - 57*T1^11*T2^3 + 71*T2^4 - 112*T1*T2^4 - 897*T1^2*T2^4 + 
     3050*T1^3*T2^4 - 2725*T1^4*T2^4 - 4707*T1^5*T2^4 + 8749*T1^6*T2^4 - 
     4707*T1^7*T2^4 - 2725*T1^8*T2^4 + 3050*T1^9*T2^4 - 897*T1^10*T2^4 - 
     112*T1^11*T2^4 + 71*T1^12*T2^4 - 57*T2^5 - 112*T1*T2^5 + 
     1384*T1^2*T2^5 - 1575*T1^3*T2^5 - 4707*T1^4*T2^5 + 15670*T1^5*T2^5 - 
     8374*T1^6*T2^5 - 8374*T1^7*T2^5 + 15670*T1^8*T2^5 - 4707*T1^9*T2^5 - 
     1575*T1^10*T2^5 + 1384*T1^11*T2^5 - 112*T1^12*T2^5 - 57*T1^13*T2^5 + 
     28*T2^6 + 232*T1*T2^6 - 897*T1^2*T2^6 - 1575*T1^3*T2^6 + 
     8749*T1^4*T2^6 - 8374*T1^5*T2^6 - 19445*T1^6*T2^6 + 34639*T1^7*T2^6 - 
     19445*T1^8*T2^6 - 8374*T1^9*T2^6 + 8749*T1^10*T2^6 - 1575*T1^11*T2^6 - 
     897*T1^12*T2^6 + 232*T1^13*T2^6 + 28*T1^14*T2^6 - 8*T2^7 - 160*T1*T2^7 - 
     24*T1^2*T2^7 + 3050*T1^3*T2^7 - 4707*T1^4*T2^7 - 8374*T1^5*T2^7 + 
     34639*T1^6*T2^7 - 18914*T1^7*T2^7 - 18914*T1^8*T2^7 + 34639*T1^9*T2^7 - 
     8374*T1^10*T2^7 - 4707*T1^11*T2^7 + 3050*T1^12*T2^7 - 24*T1^13*T2^7 - 
     160*T1^14*T2^7 - 8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 300*T1^2*T2^8 - 
     1336*T1^3*T2^8 - 2725*T1^4*T2^8 + 15670*T1^5*T2^8 - 19445*T1^6*T2^8 - 
     18914*T1^7*T2^8 + 40548*T1^8*T2^8 - 18914*T1^9*T2^8 - 19445*T1^10*T2^8 + 
     15670*T1^11*T2^8 - 2725*T1^12*T2^8 - 1336*T1^13*T2^8 + 300*T1^14*T2^8 + 
     56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 160*T1^2*T2^9 - 24*T1^3*T2^9 + 
     3050*T1^4*T2^9 - 4707*T1^5*T2^9 - 8374*T1^6*T2^9 + 34639*T1^7*T2^9 - 
     18914*T1^8*T2^9 - 18914*T1^9*T2^9 + 34639*T1^10*T2^9 - 8374*T1^11*T2^9 - 
     4707*T1^12*T2^9 + 3050*T1^13*T2^9 - 24*T1^14*T2^9 - 160*T1^15*T2^9 - 
     8*T1^16*T2^9 + 28*T1^2*T2^10 + 232*T1^3*T2^10 - 897*T1^4*T2^10 - 
     1575*T1^5*T2^10 + 8749*T1^6*T2^10 - 8374*T1^7*T2^10 - 19445*T1^8*T2^10 + 
     34639*T1^9*T2^10 - 19445*T1^10*T2^10 - 8374*T1^11*T2^10 + 
     8749*T1^12*T2^10 - 1575*T1^13*T2^10 - 897*T1^14*T2^10 + 
     232*T1^15*T2^10 + 28*T1^16*T2^10 - 57*T1^3*T2^11 - 112*T1^4*T2^11 + 
     1384*T1^5*T2^11 - 1575*T1^6*T2^11 - 4707*T1^7*T2^11 + 15670*T1^8*T2^11 - 
     8374*T1^9*T2^11 - 8374*T1^10*T2^11 + 15670*T1^11*T2^11 - 
     4707*T1^12*T2^11 - 1575*T1^13*T2^11 + 1384*T1^14*T2^11 - 
     112*T1^15*T2^11 - 57*T1^16*T2^11 + 71*T1^4*T2^12 - 112*T1^5*T2^12 - 
     897*T1^6*T2^12 + 3050*T1^7*T2^12 - 2725*T1^8*T2^12 - 4707*T1^9*T2^12 + 
     8749*T1^10*T2^12 - 4707*T1^11*T2^12 - 2725*T1^12*T2^12 + 
     3050*T1^13*T2^12 - 897*T1^14*T2^12 - 112*T1^15*T2^12 + 71*T1^16*T2^12 - 
     57*T1^5*T2^13 + 232*T1^6*T2^13 - 24*T1^7*T2^13 - 1336*T1^8*T2^13 + 
     3050*T1^9*T2^13 - 1575*T1^10*T2^13 - 1575*T1^11*T2^13 + 
     3050*T1^12*T2^13 - 1336*T1^13*T2^13 - 24*T1^14*T2^13 + 232*T1^15*T2^13 - 
     57*T1^16*T2^13 + 28*T1^6*T2^14 - 160*T1^7*T2^14 + 300*T1^8*T2^14 - 
     24*T1^9*T2^14 - 897*T1^10*T2^14 + 1384*T1^11*T2^14 - 897*T1^12*T2^14 - 
     24*T1^13*T2^14 + 300*T1^14*T2^14 - 160*T1^15*T2^14 + 28*T1^16*T2^14 - 
     8*T1^7*T2^15 + 56*T1^8*T2^15 - 160*T1^9*T2^15 + 232*T1^10*T2^15 - 
     112*T1^11*T2^15 - 112*T1^12*T2^15 + 232*T1^13*T2^15 - 160*T1^14*T2^15 + 
     56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 8*T1^9*T2^16 + 
     28*T1^10*T2^16 - 57*T1^11*T2^16 + 71*T1^12*T2^16 - 57*T1^13*T2^16 + 
     28*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 353] -> 
  {(4 - 19*T + 43*T^2 - 55*T^3 + 43*T^4 - 19*T^5 + 4*T^6)/T^3, 
   (80 - 376*T1 + 848*T1^2 - 1080*T1^3 + 848*T1^4 - 376*T1^5 + 80*T1^6 - 
     376*T2 + 1392*T1*T2 - 2220*T1^2*T2 + 1092*T1^3*T2 + 1092*T1^4*T2 - 
     2220*T1^5*T2 + 1392*T1^6*T2 - 376*T1^7*T2 + 848*T2^2 - 2220*T1*T2^2 + 
     1528*T1^2*T2^2 + 3324*T1^3*T2^2 - 5936*T1^4*T2^2 + 3324*T1^5*T2^2 + 
     1528*T1^6*T2^2 - 2220*T1^7*T2^2 + 848*T1^8*T2^2 - 1080*T2^3 + 
     1092*T1*T2^3 + 3324*T1^2*T2^3 - 10100*T1^3*T2^3 + 5278*T1^4*T2^3 + 
     5278*T1^5*T2^3 - 10100*T1^6*T2^3 + 3324*T1^7*T2^3 + 1092*T1^8*T2^3 - 
     1080*T1^9*T2^3 + 848*T2^4 + 1092*T1*T2^4 - 5936*T1^2*T2^4 + 
     5278*T1^3*T2^4 + 12775*T1^4*T2^4 - 22051*T1^5*T2^4 + 12775*T1^6*T2^4 + 
     5278*T1^7*T2^4 - 5936*T1^8*T2^4 + 1092*T1^9*T2^4 + 848*T1^10*T2^4 - 
     376*T2^5 - 2220*T1*T2^5 + 3324*T1^2*T2^5 + 5278*T1^3*T2^5 - 
     22051*T1^4*T2^5 + 11472*T1^5*T2^5 + 11472*T1^6*T2^5 - 22051*T1^7*T2^5 + 
     5278*T1^8*T2^5 + 3324*T1^9*T2^5 - 2220*T1^10*T2^5 - 376*T1^11*T2^5 + 
     80*T2^6 + 1392*T1*T2^6 + 1528*T1^2*T2^6 - 10100*T1^3*T2^6 + 
     12775*T1^4*T2^6 + 11472*T1^5*T2^6 - 23832*T1^6*T2^6 + 11472*T1^7*T2^6 + 
     12775*T1^8*T2^6 - 10100*T1^9*T2^6 + 1528*T1^10*T2^6 + 1392*T1^11*T2^6 + 
     80*T1^12*T2^6 - 376*T1*T2^7 - 2220*T1^2*T2^7 + 3324*T1^3*T2^7 + 
     5278*T1^4*T2^7 - 22051*T1^5*T2^7 + 11472*T1^6*T2^7 + 11472*T1^7*T2^7 - 
     22051*T1^8*T2^7 + 5278*T1^9*T2^7 + 3324*T1^10*T2^7 - 2220*T1^11*T2^7 - 
     376*T1^12*T2^7 + 848*T1^2*T2^8 + 1092*T1^3*T2^8 - 5936*T1^4*T2^8 + 
     5278*T1^5*T2^8 + 12775*T1^6*T2^8 - 22051*T1^7*T2^8 + 12775*T1^8*T2^8 + 
     5278*T1^9*T2^8 - 5936*T1^10*T2^8 + 1092*T1^11*T2^8 + 848*T1^12*T2^8 - 
     1080*T1^3*T2^9 + 1092*T1^4*T2^9 + 3324*T1^5*T2^9 - 10100*T1^6*T2^9 + 
     5278*T1^7*T2^9 + 5278*T1^8*T2^9 - 10100*T1^9*T2^9 + 3324*T1^10*T2^9 + 
     1092*T1^11*T2^9 - 1080*T1^12*T2^9 + 848*T1^4*T2^10 - 2220*T1^5*T2^10 + 
     1528*T1^6*T2^10 + 3324*T1^7*T2^10 - 5936*T1^8*T2^10 + 3324*T1^9*T2^10 + 
     1528*T1^10*T2^10 - 2220*T1^11*T2^10 + 848*T1^12*T2^10 - 376*T1^5*T2^11 + 
     1392*T1^6*T2^11 - 2220*T1^7*T2^11 + 1092*T1^8*T2^11 + 1092*T1^9*T2^11 - 
     2220*T1^10*T2^11 + 1392*T1^11*T2^11 - 376*T1^12*T2^11 + 80*T1^6*T2^12 - 
     376*T1^7*T2^12 + 848*T1^8*T2^12 - 1080*T1^9*T2^12 + 848*T1^10*T2^12 - 
     376*T1^11*T2^12 + 80*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 354] -> 
  {(5 - 26*T + 60*T^2 - 77*T^3 + 60*T^4 - 26*T^5 + 5*T^6)/T^3, 
   (145 - 750*T1 + 1718*T1^2 - 2189*T1^3 + 1718*T1^4 - 750*T1^5 + 145*T1^6 - 
     750*T2 + 3146*T1*T2 - 5056*T1^2*T2 + 2472*T1^3*T2 + 2472*T1^4*T2 - 
     5056*T1^5*T2 + 3146*T1^6*T2 - 750*T1^7*T2 + 1718*T2^2 - 5056*T1*T2^2 + 
     2063*T1^2*T2^2 + 11417*T1^3*T2^2 - 18459*T1^4*T2^2 + 11417*T1^5*T2^2 + 
     2063*T1^6*T2^2 - 5056*T1^7*T2^2 + 1718*T1^8*T2^2 - 2189*T2^3 + 
     2472*T1*T2^3 + 11417*T1^2*T2^3 - 29690*T1^3*T2^3 + 15239*T1^4*T2^3 + 
     15239*T1^5*T2^3 - 29690*T1^6*T2^3 + 11417*T1^7*T2^3 + 2472*T1^8*T2^3 - 
     2189*T1^9*T2^3 + 1718*T2^4 + 2472*T1*T2^4 - 18459*T1^2*T2^4 + 
     15239*T1^3*T2^4 + 35700*T1^4*T2^4 - 61886*T1^5*T2^4 + 35700*T1^6*T2^4 + 
     15239*T1^7*T2^4 - 18459*T1^8*T2^4 + 2472*T1^9*T2^4 + 1718*T1^10*T2^4 - 
     750*T2^5 - 5056*T1*T2^5 + 11417*T1^2*T2^5 + 15239*T1^3*T2^5 - 
     61886*T1^4*T2^5 + 32320*T1^5*T2^5 + 32320*T1^6*T2^5 - 61886*T1^7*T2^5 + 
     15239*T1^8*T2^5 + 11417*T1^9*T2^5 - 5056*T1^10*T2^5 - 750*T1^11*T2^5 + 
     145*T2^6 + 3146*T1*T2^6 + 2063*T1^2*T2^6 - 29690*T1^3*T2^6 + 
     35700*T1^4*T2^6 + 32320*T1^5*T2^6 - 67380*T1^6*T2^6 + 32320*T1^7*T2^6 + 
     35700*T1^8*T2^6 - 29690*T1^9*T2^6 + 2063*T1^10*T2^6 + 3146*T1^11*T2^6 + 
     145*T1^12*T2^6 - 750*T1*T2^7 - 5056*T1^2*T2^7 + 11417*T1^3*T2^7 + 
     15239*T1^4*T2^7 - 61886*T1^5*T2^7 + 32320*T1^6*T2^7 + 32320*T1^7*T2^7 - 
     61886*T1^8*T2^7 + 15239*T1^9*T2^7 + 11417*T1^10*T2^7 - 5056*T1^11*T2^7 - 
     750*T1^12*T2^7 + 1718*T1^2*T2^8 + 2472*T1^3*T2^8 - 18459*T1^4*T2^8 + 
     15239*T1^5*T2^8 + 35700*T1^6*T2^8 - 61886*T1^7*T2^8 + 35700*T1^8*T2^8 + 
     15239*T1^9*T2^8 - 18459*T1^10*T2^8 + 2472*T1^11*T2^8 + 1718*T1^12*T2^8 - 
     2189*T1^3*T2^9 + 2472*T1^4*T2^9 + 11417*T1^5*T2^9 - 29690*T1^6*T2^9 + 
     15239*T1^7*T2^9 + 15239*T1^8*T2^9 - 29690*T1^9*T2^9 + 11417*T1^10*T2^9 + 
     2472*T1^11*T2^9 - 2189*T1^12*T2^9 + 1718*T1^4*T2^10 - 5056*T1^5*T2^10 + 
     2063*T1^6*T2^10 + 11417*T1^7*T2^10 - 18459*T1^8*T2^10 + 
     11417*T1^9*T2^10 + 2063*T1^10*T2^10 - 5056*T1^11*T2^10 + 
     1718*T1^12*T2^10 - 750*T1^5*T2^11 + 3146*T1^6*T2^11 - 5056*T1^7*T2^11 + 
     2472*T1^8*T2^11 + 2472*T1^9*T2^11 - 5056*T1^10*T2^11 + 
     3146*T1^11*T2^11 - 750*T1^12*T2^11 + 145*T1^6*T2^12 - 750*T1^7*T2^12 + 
     1718*T1^8*T2^12 - 2189*T1^9*T2^12 + 1718*T1^10*T2^12 - 750*T1^11*T2^12 + 
     145*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 355] -> 
  {(5 - 16*T + 27*T^2 - 31*T^3 + 27*T^4 - 16*T^5 + 5*T^6)/T^3, 
   (415 - 1298*T1 + 2157*T1^2 - 2457*T1^3 + 2157*T1^4 - 1298*T1^5 + 
     415*T1^6 - 1298*T2 + 2798*T1*T2 - 2761*T1^2*T2 + 982*T1^3*T2 + 
     982*T1^4*T2 - 2761*T1^5*T2 + 2798*T1^6*T2 - 1298*T1^7*T2 + 2157*T2^2 - 
     2761*T1*T2^2 + 555*T1^2*T2^2 + 2182*T1^3*T2^2 - 2521*T1^4*T2^2 + 
     2182*T1^5*T2^2 + 555*T1^6*T2^2 - 2761*T1^7*T2^2 + 2157*T1^8*T2^2 - 
     2457*T2^3 + 982*T1*T2^3 + 2182*T1^2*T2^3 - 3026*T1^3*T2^3 + 
     464*T1^4*T2^3 + 464*T1^5*T2^3 - 3026*T1^6*T2^3 + 2182*T1^7*T2^3 + 
     982*T1^8*T2^3 - 2457*T1^9*T2^3 + 2157*T2^4 + 982*T1*T2^4 - 
     2521*T1^2*T2^4 + 464*T1^3*T2^4 + 2775*T1^4*T2^4 - 1687*T1^5*T2^4 + 
     2775*T1^6*T2^4 + 464*T1^7*T2^4 - 2521*T1^8*T2^4 + 982*T1^9*T2^4 + 
     2157*T1^10*T2^4 - 1298*T2^5 - 2761*T1*T2^5 + 2182*T1^2*T2^5 + 
     464*T1^3*T2^5 - 1687*T1^4*T2^5 - 862*T1^5*T2^5 - 862*T1^6*T2^5 - 
     1687*T1^7*T2^5 + 464*T1^8*T2^5 + 2182*T1^9*T2^5 - 2761*T1^10*T2^5 - 
     1298*T1^11*T2^5 + 415*T2^6 + 2798*T1*T2^6 + 555*T1^2*T2^6 - 
     3026*T1^3*T2^6 + 2775*T1^4*T2^6 - 862*T1^5*T2^6 + 3348*T1^6*T2^6 - 
     862*T1^7*T2^6 + 2775*T1^8*T2^6 - 3026*T1^9*T2^6 + 555*T1^10*T2^6 + 
     2798*T1^11*T2^6 + 415*T1^12*T2^6 - 1298*T1*T2^7 - 2761*T1^2*T2^7 + 
     2182*T1^3*T2^7 + 464*T1^4*T2^7 - 1687*T1^5*T2^7 - 862*T1^6*T2^7 - 
     862*T1^7*T2^7 - 1687*T1^8*T2^7 + 464*T1^9*T2^7 + 2182*T1^10*T2^7 - 
     2761*T1^11*T2^7 - 1298*T1^12*T2^7 + 2157*T1^2*T2^8 + 982*T1^3*T2^8 - 
     2521*T1^4*T2^8 + 464*T1^5*T2^8 + 2775*T1^6*T2^8 - 1687*T1^7*T2^8 + 
     2775*T1^8*T2^8 + 464*T1^9*T2^8 - 2521*T1^10*T2^8 + 982*T1^11*T2^8 + 
     2157*T1^12*T2^8 - 2457*T1^3*T2^9 + 982*T1^4*T2^9 + 2182*T1^5*T2^9 - 
     3026*T1^6*T2^9 + 464*T1^7*T2^9 + 464*T1^8*T2^9 - 3026*T1^9*T2^9 + 
     2182*T1^10*T2^9 + 982*T1^11*T2^9 - 2457*T1^12*T2^9 + 2157*T1^4*T2^10 - 
     2761*T1^5*T2^10 + 555*T1^6*T2^10 + 2182*T1^7*T2^10 - 2521*T1^8*T2^10 + 
     2182*T1^9*T2^10 + 555*T1^10*T2^10 - 2761*T1^11*T2^10 + 
     2157*T1^12*T2^10 - 1298*T1^5*T2^11 + 2798*T1^6*T2^11 - 2761*T1^7*T2^11 + 
     982*T1^8*T2^11 + 982*T1^9*T2^11 - 2761*T1^10*T2^11 + 2798*T1^11*T2^11 - 
     1298*T1^12*T2^11 + 415*T1^6*T2^12 - 1298*T1^7*T2^12 + 2157*T1^8*T2^12 - 
     2457*T1^9*T2^12 + 2157*T1^10*T2^12 - 1298*T1^11*T2^12 + 415*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 356] -> 
  {(8 - 25*T + 35*T^2 - 25*T^3 + 8*T^4)/T^2, 
   (1304 - 3985*T1 + 5552*T1^2 - 3985*T1^3 + 1304*T1^4 - 3985*T2 + 
     8244*T1*T2 - 4828*T1^2*T2 - 4828*T1^3*T2 + 8244*T1^4*T2 - 3985*T1^5*T2 + 
     5552*T2^2 - 4828*T1*T2^2 - 8476*T1^2*T2^2 + 18746*T1^3*T2^2 - 
     8476*T1^4*T2^2 - 4828*T1^5*T2^2 + 5552*T1^6*T2^2 - 3985*T2^3 - 
     4828*T1*T2^3 + 18746*T1^2*T2^3 - 12798*T1^3*T2^3 - 12798*T1^4*T2^3 + 
     18746*T1^5*T2^3 - 4828*T1^6*T2^3 - 3985*T1^7*T2^3 + 1304*T2^4 + 
     8244*T1*T2^4 - 8476*T1^2*T2^4 - 12798*T1^3*T2^4 + 30324*T1^4*T2^4 - 
     12798*T1^5*T2^4 - 8476*T1^6*T2^4 + 8244*T1^7*T2^4 + 1304*T1^8*T2^4 - 
     3985*T1*T2^5 - 4828*T1^2*T2^5 + 18746*T1^3*T2^5 - 12798*T1^4*T2^5 - 
     12798*T1^5*T2^5 + 18746*T1^6*T2^5 - 4828*T1^7*T2^5 - 3985*T1^8*T2^5 + 
     5552*T1^2*T2^6 - 4828*T1^3*T2^6 - 8476*T1^4*T2^6 + 18746*T1^5*T2^6 - 
     8476*T1^6*T2^6 - 4828*T1^7*T2^6 + 5552*T1^8*T2^6 - 3985*T1^3*T2^7 + 
     8244*T1^4*T2^7 - 4828*T1^5*T2^7 - 4828*T1^6*T2^7 + 8244*T1^7*T2^7 - 
     3985*T1^8*T2^7 + 1304*T1^4*T2^8 - 3985*T1^5*T2^8 + 5552*T1^6*T2^8 - 
     3985*T1^7*T2^8 + 1304*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, Alternating, 357] -> 
  {-((3 - 17*T + 40*T^2 - 53*T^3 + 40*T^4 - 17*T^5 + 3*T^6)/T^3), 
   -((3 - 19*T1 + 46*T1^2 - 63*T1^3 + 46*T1^4 - 19*T1^5 + 3*T1^6 - 19*T2 + 
      102*T1*T2 - 173*T1^2*T2 + 107*T1^3*T2 + 107*T1^4*T2 - 173*T1^5*T2 + 
      102*T1^6*T2 - 19*T1^7*T2 + 46*T2^2 - 173*T1*T2^2 + 10*T1^2*T2^2 + 
      534*T1^3*T2^2 - 1014*T1^4*T2^2 + 534*T1^5*T2^2 + 10*T1^6*T2^2 - 
      173*T1^7*T2^2 + 46*T1^8*T2^2 - 63*T2^3 + 107*T1*T2^3 + 534*T1^2*T2^3 - 
      1224*T1^3*T2^3 + 942*T1^4*T2^3 + 942*T1^5*T2^3 - 1224*T1^6*T2^3 + 
      534*T1^7*T2^3 + 107*T1^8*T2^3 - 63*T1^9*T2^3 + 46*T2^4 + 107*T1*T2^4 - 
      1014*T1^2*T2^4 + 942*T1^3*T2^4 + 527*T1^4*T2^4 - 2549*T1^5*T2^4 + 
      527*T1^6*T2^4 + 942*T1^7*T2^4 - 1014*T1^8*T2^4 + 107*T1^9*T2^4 + 
      46*T1^10*T2^4 - 19*T2^5 - 173*T1*T2^5 + 534*T1^2*T2^5 + 942*T1^3*T2^5 - 
      2549*T1^4*T2^5 + 2336*T1^5*T2^5 + 2336*T1^6*T2^5 - 2549*T1^7*T2^5 + 
      942*T1^8*T2^5 + 534*T1^9*T2^5 - 173*T1^10*T2^5 - 19*T1^11*T2^5 + 
      3*T2^6 + 102*T1*T2^6 + 10*T1^2*T2^6 - 1224*T1^3*T2^6 + 527*T1^4*T2^6 + 
      2336*T1^5*T2^6 - 6012*T1^6*T2^6 + 2336*T1^7*T2^6 + 527*T1^8*T2^6 - 
      1224*T1^9*T2^6 + 10*T1^10*T2^6 + 102*T1^11*T2^6 + 3*T1^12*T2^6 - 
      19*T1*T2^7 - 173*T1^2*T2^7 + 534*T1^3*T2^7 + 942*T1^4*T2^7 - 
      2549*T1^5*T2^7 + 2336*T1^6*T2^7 + 2336*T1^7*T2^7 - 2549*T1^8*T2^7 + 
      942*T1^9*T2^7 + 534*T1^10*T2^7 - 173*T1^11*T2^7 - 19*T1^12*T2^7 + 
      46*T1^2*T2^8 + 107*T1^3*T2^8 - 1014*T1^4*T2^8 + 942*T1^5*T2^8 + 
      527*T1^6*T2^8 - 2549*T1^7*T2^8 + 527*T1^8*T2^8 + 942*T1^9*T2^8 - 
      1014*T1^10*T2^8 + 107*T1^11*T2^8 + 46*T1^12*T2^8 - 63*T1^3*T2^9 + 
      107*T1^4*T2^9 + 534*T1^5*T2^9 - 1224*T1^6*T2^9 + 942*T1^7*T2^9 + 
      942*T1^8*T2^9 - 1224*T1^9*T2^9 + 534*T1^10*T2^9 + 107*T1^11*T2^9 - 
      63*T1^12*T2^9 + 46*T1^4*T2^10 - 173*T1^5*T2^10 + 10*T1^6*T2^10 + 
      534*T1^7*T2^10 - 1014*T1^8*T2^10 + 534*T1^9*T2^10 + 10*T1^10*T2^10 - 
      173*T1^11*T2^10 + 46*T1^12*T2^10 - 19*T1^5*T2^11 + 102*T1^6*T2^11 - 
      173*T1^7*T2^11 + 107*T1^8*T2^11 + 107*T1^9*T2^11 - 173*T1^10*T2^11 + 
      102*T1^11*T2^11 - 19*T1^12*T2^11 + 3*T1^6*T2^12 - 19*T1^7*T2^12 + 
      46*T1^8*T2^12 - 63*T1^9*T2^12 + 46*T1^10*T2^12 - 19*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^6*T2^6))}, 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), 
   -((1 - 8*T1 + 28*T1^2 - 56*T1^3 + 69*T1^4 - 56*T1^5 + 28*T1^6 - 8*T1^7 + 
      T1^8 - 8*T2 + 56*T1*T2 - 160*T1^2*T2 + 224*T1^3*T2 - 104*T1^4*T2 - 
      104*T1^5*T2 + 224*T1^6*T2 - 160*T1^7*T2 + 56*T1^8*T2 - 8*T1^9*T2 + 
      28*T2^2 - 160*T1*T2^2 + 304*T1^2*T2^2 - 24*T1^3*T2^2 - 808*T1^4*T2^2 + 
      1206*T1^5*T2^2 - 808*T1^6*T2^2 - 24*T1^7*T2^2 + 304*T1^8*T2^2 - 
      160*T1^9*T2^2 + 28*T1^10*T2^2 - 56*T2^3 + 224*T1*T2^3 - 24*T1^2*T2^3 - 
      1282*T1^3*T2^3 + 2647*T1^4*T2^3 - 1263*T1^5*T2^3 - 1263*T1^6*T2^3 + 
      2647*T1^7*T2^3 - 1282*T1^8*T2^3 - 24*T1^9*T2^3 + 224*T1^10*T2^3 - 
      56*T1^11*T2^3 + 69*T2^4 - 104*T1*T2^4 - 808*T1^2*T2^4 + 
      2647*T1^3*T2^4 - 1799*T1^4*T2^4 - 4240*T1^5*T2^4 + 7011*T1^6*T2^4 - 
      4240*T1^7*T2^4 - 1799*T1^8*T2^4 + 2647*T1^9*T2^4 - 808*T1^10*T2^4 - 
      104*T1^11*T2^4 + 69*T1^12*T2^4 - 56*T2^5 - 104*T1*T2^5 + 
      1206*T1^2*T2^5 - 1263*T1^3*T2^5 - 4240*T1^4*T2^5 + 11620*T1^5*T2^5 - 
      5571*T1^6*T2^5 - 5571*T1^7*T2^5 + 11620*T1^8*T2^5 - 4240*T1^9*T2^5 - 
      1263*T1^10*T2^5 + 1206*T1^11*T2^5 - 104*T1^12*T2^5 - 56*T1^13*T2^5 + 
      28*T2^6 + 224*T1*T2^6 - 808*T1^2*T2^6 - 1263*T1^3*T2^6 + 
      7011*T1^4*T2^6 - 5571*T1^5*T2^6 - 13082*T1^6*T2^6 + 21568*T1^7*T2^6 - 
      13082*T1^8*T2^6 - 5571*T1^9*T2^6 + 7011*T1^10*T2^6 - 1263*T1^11*T2^6 - 
      808*T1^12*T2^6 + 224*T1^13*T2^6 + 28*T1^14*T2^6 - 8*T2^7 - 
      160*T1*T2^7 - 24*T1^2*T2^7 + 2647*T1^3*T2^7 - 4240*T1^4*T2^7 - 
      5571*T1^5*T2^7 + 21568*T1^6*T2^7 - 10618*T1^7*T2^7 - 10618*T1^8*T2^7 + 
      21568*T1^9*T2^7 - 5571*T1^10*T2^7 - 4240*T1^11*T2^7 + 2647*T1^12*T2^7 - 
      24*T1^13*T2^7 - 160*T1^14*T2^7 - 8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 
      304*T1^2*T2^8 - 1282*T1^3*T2^8 - 1799*T1^4*T2^8 + 11620*T1^5*T2^8 - 
      13082*T1^6*T2^8 - 10618*T1^7*T2^8 + 21696*T1^8*T2^8 - 10618*T1^9*T2^8 - 
      13082*T1^10*T2^8 + 11620*T1^11*T2^8 - 1799*T1^12*T2^8 - 
      1282*T1^13*T2^8 + 304*T1^14*T2^8 + 56*T1^15*T2^8 + T1^16*T2^8 - 
      8*T1*T2^9 - 160*T1^2*T2^9 - 24*T1^3*T2^9 + 2647*T1^4*T2^9 - 
      4240*T1^5*T2^9 - 5571*T1^6*T2^9 + 21568*T1^7*T2^9 - 10618*T1^8*T2^9 - 
      10618*T1^9*T2^9 + 21568*T1^10*T2^9 - 5571*T1^11*T2^9 - 
      4240*T1^12*T2^9 + 2647*T1^13*T2^9 - 24*T1^14*T2^9 - 160*T1^15*T2^9 - 
      8*T1^16*T2^9 + 28*T1^2*T2^10 + 224*T1^3*T2^10 - 808*T1^4*T2^10 - 
      1263*T1^5*T2^10 + 7011*T1^6*T2^10 - 5571*T1^7*T2^10 - 
      13082*T1^8*T2^10 + 21568*T1^9*T2^10 - 13082*T1^10*T2^10 - 
      5571*T1^11*T2^10 + 7011*T1^12*T2^10 - 1263*T1^13*T2^10 - 
      808*T1^14*T2^10 + 224*T1^15*T2^10 + 28*T1^16*T2^10 - 56*T1^3*T2^11 - 
      104*T1^4*T2^11 + 1206*T1^5*T2^11 - 1263*T1^6*T2^11 - 4240*T1^7*T2^11 + 
      11620*T1^8*T2^11 - 5571*T1^9*T2^11 - 5571*T1^10*T2^11 + 
      11620*T1^11*T2^11 - 4240*T1^12*T2^11 - 1263*T1^13*T2^11 + 
      1206*T1^14*T2^11 - 104*T1^15*T2^11 - 56*T1^16*T2^11 + 69*T1^4*T2^12 - 
      104*T1^5*T2^12 - 808*T1^6*T2^12 + 2647*T1^7*T2^12 - 1799*T1^8*T2^12 - 
      4240*T1^9*T2^12 + 7011*T1^10*T2^12 - 4240*T1^11*T2^12 - 
      1799*T1^12*T2^12 + 2647*T1^13*T2^12 - 808*T1^14*T2^12 - 
      104*T1^15*T2^12 + 69*T1^16*T2^12 - 56*T1^5*T2^13 + 224*T1^6*T2^13 - 
      24*T1^7*T2^13 - 1282*T1^8*T2^13 + 2647*T1^9*T2^13 - 1263*T1^10*T2^13 - 
      1263*T1^11*T2^13 + 2647*T1^12*T2^13 - 1282*T1^13*T2^13 - 
      24*T1^14*T2^13 + 224*T1^15*T2^13 - 56*T1^16*T2^13 + 28*T1^6*T2^14 - 
      160*T1^7*T2^14 + 304*T1^8*T2^14 - 24*T1^9*T2^14 - 808*T1^10*T2^14 + 
      1206*T1^11*T2^14 - 808*T1^12*T2^14 - 24*T1^13*T2^14 + 304*T1^14*T2^14 - 
      160*T1^15*T2^14 + 28*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 
      160*T1^9*T2^15 + 224*T1^10*T2^15 - 104*T1^11*T2^15 - 104*T1^12*T2^15 + 
      224*T1^13*T2^15 - 160*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + 
      T1^8*T2^16 - 8*T1^9*T2^16 + 28*T1^10*T2^16 - 56*T1^11*T2^16 + 
      69*T1^12*T2^16 - 56*T1^13*T2^16 + 28*T1^14*T2^16 - 8*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, 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, 
   -((3 - 17*T1 + 39*T1^2 - 51*T1^3 + 39*T1^4 - 17*T1^5 + 3*T1^6 - 17*T2 + 
      80*T1*T2 - 125*T1^2*T2 + 67*T1^3*T2 + 67*T1^4*T2 - 125*T1^5*T2 + 
      80*T1^6*T2 - 17*T1^7*T2 + 39*T2^2 - 125*T1*T2^2 - 16*T1^2*T2^2 + 
      399*T1^3*T2^2 - 640*T1^4*T2^2 + 399*T1^5*T2^2 - 16*T1^6*T2^2 - 
      125*T1^7*T2^2 + 39*T1^8*T2^2 - 51*T2^3 + 67*T1*T2^3 + 399*T1^2*T2^3 - 
      802*T1^3*T2^3 + 455*T1^4*T2^3 + 455*T1^5*T2^3 - 802*T1^6*T2^3 + 
      399*T1^7*T2^3 + 67*T1^8*T2^3 - 51*T1^9*T2^3 + 39*T2^4 + 67*T1*T2^4 - 
      640*T1^2*T2^4 + 455*T1^3*T2^4 + 532*T1^4*T2^4 - 1198*T1^5*T2^4 + 
      532*T1^6*T2^4 + 455*T1^7*T2^4 - 640*T1^8*T2^4 + 67*T1^9*T2^4 + 
      39*T1^10*T2^4 - 17*T2^5 - 125*T1*T2^5 + 399*T1^2*T2^5 + 455*T1^3*T2^5 - 
      1198*T1^4*T2^5 + 718*T1^5*T2^5 + 718*T1^6*T2^5 - 1198*T1^7*T2^5 + 
      455*T1^8*T2^5 + 399*T1^9*T2^5 - 125*T1^10*T2^5 - 17*T1^11*T2^5 + 
      3*T2^6 + 80*T1*T2^6 - 16*T1^2*T2^6 - 802*T1^3*T2^6 + 532*T1^4*T2^6 + 
      718*T1^5*T2^6 - 1572*T1^6*T2^6 + 718*T1^7*T2^6 + 532*T1^8*T2^6 - 
      802*T1^9*T2^6 - 16*T1^10*T2^6 + 80*T1^11*T2^6 + 3*T1^12*T2^6 - 
      17*T1*T2^7 - 125*T1^2*T2^7 + 399*T1^3*T2^7 + 455*T1^4*T2^7 - 
      1198*T1^5*T2^7 + 718*T1^6*T2^7 + 718*T1^7*T2^7 - 1198*T1^8*T2^7 + 
      455*T1^9*T2^7 + 399*T1^10*T2^7 - 125*T1^11*T2^7 - 17*T1^12*T2^7 + 
      39*T1^2*T2^8 + 67*T1^3*T2^8 - 640*T1^4*T2^8 + 455*T1^5*T2^8 + 
      532*T1^6*T2^8 - 1198*T1^7*T2^8 + 532*T1^8*T2^8 + 455*T1^9*T2^8 - 
      640*T1^10*T2^8 + 67*T1^11*T2^8 + 39*T1^12*T2^8 - 51*T1^3*T2^9 + 
      67*T1^4*T2^9 + 399*T1^5*T2^9 - 802*T1^6*T2^9 + 455*T1^7*T2^9 + 
      455*T1^8*T2^9 - 802*T1^9*T2^9 + 399*T1^10*T2^9 + 67*T1^11*T2^9 - 
      51*T1^12*T2^9 + 39*T1^4*T2^10 - 125*T1^5*T2^10 - 16*T1^6*T2^10 + 
      399*T1^7*T2^10 - 640*T1^8*T2^10 + 399*T1^9*T2^10 - 16*T1^10*T2^10 - 
      125*T1^11*T2^10 + 39*T1^12*T2^10 - 17*T1^5*T2^11 + 80*T1^6*T2^11 - 
      125*T1^7*T2^11 + 67*T1^8*T2^11 + 67*T1^9*T2^11 - 125*T1^10*T2^11 + 
      80*T1^11*T2^11 - 17*T1^12*T2^11 + 3*T1^6*T2^12 - 17*T1^7*T2^12 + 
      39*T1^8*T2^12 - 51*T1^9*T2^12 + 39*T1^10*T2^12 - 17*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 360] -> 
  {-(((1 - 3*T + T^2)*(3 - 11*T + 17*T^2 - 11*T^3 + 3*T^4))/T^3), 
   -((3 - 22*T1 + 59*T1^2 - 83*T1^3 + 59*T1^4 - 22*T1^5 + 3*T1^6 - 22*T2 + 
      142*T1*T2 - 281*T1^2*T2 + 181*T1^3*T2 + 181*T1^4*T2 - 281*T1^5*T2 + 
      142*T1^6*T2 - 22*T1^7*T2 + 59*T2^2 - 281*T1*T2^2 + 39*T1^2*T2^2 + 
      1226*T1^3*T2^2 - 2333*T1^4*T2^2 + 1226*T1^5*T2^2 + 39*T1^6*T2^2 - 
      281*T1^7*T2^2 + 59*T1^8*T2^2 - 83*T2^3 + 181*T1*T2^3 + 1226*T1^2*T2^3 - 
      3604*T1^3*T2^3 + 2740*T1^4*T2^3 + 2740*T1^5*T2^3 - 3604*T1^6*T2^3 + 
      1226*T1^7*T2^3 + 181*T1^8*T2^3 - 83*T1^9*T2^3 + 59*T2^4 + 181*T1*T2^4 - 
      2333*T1^2*T2^4 + 2740*T1^3*T2^4 + 3745*T1^4*T2^4 - 11049*T1^5*T2^4 + 
      3745*T1^6*T2^4 + 2740*T1^7*T2^4 - 2333*T1^8*T2^4 + 181*T1^9*T2^4 + 
      59*T1^10*T2^4 - 22*T2^5 - 281*T1*T2^5 + 1226*T1^2*T2^5 + 
      2740*T1^3*T2^5 - 11049*T1^4*T2^5 + 9306*T1^5*T2^5 + 9306*T1^6*T2^5 - 
      11049*T1^7*T2^5 + 2740*T1^8*T2^5 + 1226*T1^9*T2^5 - 281*T1^10*T2^5 - 
      22*T1^11*T2^5 + 3*T2^6 + 142*T1*T2^6 + 39*T1^2*T2^6 - 3604*T1^3*T2^6 + 
      3745*T1^4*T2^6 + 9306*T1^5*T2^6 - 23832*T1^6*T2^6 + 9306*T1^7*T2^6 + 
      3745*T1^8*T2^6 - 3604*T1^9*T2^6 + 39*T1^10*T2^6 + 142*T1^11*T2^6 + 
      3*T1^12*T2^6 - 22*T1*T2^7 - 281*T1^2*T2^7 + 1226*T1^3*T2^7 + 
      2740*T1^4*T2^7 - 11049*T1^5*T2^7 + 9306*T1^6*T2^7 + 9306*T1^7*T2^7 - 
      11049*T1^8*T2^7 + 2740*T1^9*T2^7 + 1226*T1^10*T2^7 - 281*T1^11*T2^7 - 
      22*T1^12*T2^7 + 59*T1^2*T2^8 + 181*T1^3*T2^8 - 2333*T1^4*T2^8 + 
      2740*T1^5*T2^8 + 3745*T1^6*T2^8 - 11049*T1^7*T2^8 + 3745*T1^8*T2^8 + 
      2740*T1^9*T2^8 - 2333*T1^10*T2^8 + 181*T1^11*T2^8 + 59*T1^12*T2^8 - 
      83*T1^3*T2^9 + 181*T1^4*T2^9 + 1226*T1^5*T2^9 - 3604*T1^6*T2^9 + 
      2740*T1^7*T2^9 + 2740*T1^8*T2^9 - 3604*T1^9*T2^9 + 1226*T1^10*T2^9 + 
      181*T1^11*T2^9 - 83*T1^12*T2^9 + 59*T1^4*T2^10 - 281*T1^5*T2^10 + 
      39*T1^6*T2^10 + 1226*T1^7*T2^10 - 2333*T1^8*T2^10 + 1226*T1^9*T2^10 + 
      39*T1^10*T2^10 - 281*T1^11*T2^10 + 59*T1^12*T2^10 - 22*T1^5*T2^11 + 
      142*T1^6*T2^11 - 281*T1^7*T2^11 + 181*T1^8*T2^11 + 181*T1^9*T2^11 - 
      281*T1^10*T2^11 + 142*T1^11*T2^11 - 22*T1^12*T2^11 + 3*T1^6*T2^12 - 
      22*T1^7*T2^12 + 59*T1^8*T2^12 - 83*T1^9*T2^12 + 59*T1^10*T2^12 - 
      22*T1^11*T2^12 + 3*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   (2 - 11*T1 + 25*T1^2 - 32*T1^3 + 25*T1^4 - 11*T1^5 + 2*T1^6 - 11*T2 + 
     48*T1*T2 - 67*T1^2*T2 + 28*T1^3*T2 + 28*T1^4*T2 - 67*T1^5*T2 + 
     48*T1^6*T2 - 11*T1^7*T2 + 25*T2^2 - 67*T1*T2^2 + 5*T1^2*T2^2 + 
     20*T1^3*T2^2 + 71*T1^4*T2^2 + 20*T1^5*T2^2 + 5*T1^6*T2^2 - 
     67*T1^7*T2^2 + 25*T1^8*T2^2 - 32*T2^3 + 28*T1*T2^3 + 20*T1^2*T2^3 + 
     414*T1^3*T2^3 - 503*T1^4*T2^3 - 503*T1^5*T2^3 + 414*T1^6*T2^3 + 
     20*T1^7*T2^3 + 28*T1^8*T2^3 - 32*T1^9*T2^3 + 25*T2^4 + 28*T1*T2^4 + 
     71*T1^2*T2^4 - 503*T1^3*T2^4 - 1149*T1^4*T2^4 + 3389*T1^5*T2^4 - 
     1149*T1^6*T2^4 - 503*T1^7*T2^4 + 71*T1^8*T2^4 + 28*T1^9*T2^4 + 
     25*T1^10*T2^4 - 11*T2^5 - 67*T1*T2^5 + 20*T1^2*T2^5 - 503*T1^3*T2^5 + 
     3389*T1^4*T2^5 - 3082*T1^5*T2^5 - 3082*T1^6*T2^5 + 3389*T1^7*T2^5 - 
     503*T1^8*T2^5 + 20*T1^9*T2^5 - 67*T1^10*T2^5 - 11*T1^11*T2^5 + 2*T2^6 + 
     48*T1*T2^6 + 5*T1^2*T2^6 + 414*T1^3*T2^6 - 1149*T1^4*T2^6 - 
     3082*T1^5*T2^6 + 8100*T1^6*T2^6 - 3082*T1^7*T2^6 - 1149*T1^8*T2^6 + 
     414*T1^9*T2^6 + 5*T1^10*T2^6 + 48*T1^11*T2^6 + 2*T1^12*T2^6 - 
     11*T1*T2^7 - 67*T1^2*T2^7 + 20*T1^3*T2^7 - 503*T1^4*T2^7 + 
     3389*T1^5*T2^7 - 3082*T1^6*T2^7 - 3082*T1^7*T2^7 + 3389*T1^8*T2^7 - 
     503*T1^9*T2^7 + 20*T1^10*T2^7 - 67*T1^11*T2^7 - 11*T1^12*T2^7 + 
     25*T1^2*T2^8 + 28*T1^3*T2^8 + 71*T1^4*T2^8 - 503*T1^5*T2^8 - 
     1149*T1^6*T2^8 + 3389*T1^7*T2^8 - 1149*T1^8*T2^8 - 503*T1^9*T2^8 + 
     71*T1^10*T2^8 + 28*T1^11*T2^8 + 25*T1^12*T2^8 - 32*T1^3*T2^9 + 
     28*T1^4*T2^9 + 20*T1^5*T2^9 + 414*T1^6*T2^9 - 503*T1^7*T2^9 - 
     503*T1^8*T2^9 + 414*T1^9*T2^9 + 20*T1^10*T2^9 + 28*T1^11*T2^9 - 
     32*T1^12*T2^9 + 25*T1^4*T2^10 - 67*T1^5*T2^10 + 5*T1^6*T2^10 + 
     20*T1^7*T2^10 + 71*T1^8*T2^10 + 20*T1^9*T2^10 + 5*T1^10*T2^10 - 
     67*T1^11*T2^10 + 25*T1^12*T2^10 - 11*T1^5*T2^11 + 48*T1^6*T2^11 - 
     67*T1^7*T2^11 + 28*T1^8*T2^11 + 28*T1^9*T2^11 - 67*T1^10*T2^11 + 
     48*T1^11*T2^11 - 11*T1^12*T2^11 + 2*T1^6*T2^12 - 11*T1^7*T2^12 + 
     25*T1^8*T2^12 - 32*T1^9*T2^12 + 25*T1^10*T2^12 - 11*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^6*T2^6)}, 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 + 144*T1*T2 - 396*T1^2*T2 + 450*T1^3*T2 - 
      198*T1^4*T2 - 198*T1^5*T2 + 450*T1^6*T2 - 396*T1^7*T2 + 144*T1^8*T2 - 
      18*T1^9*T2 + 62*T2^2 - 396*T1*T2^2 + 533*T1^2*T2^2 + 951*T1^3*T2^2 - 
      2919*T1^4*T2^2 + 3819*T1^5*T2^2 - 2919*T1^6*T2^2 + 951*T1^7*T2^2 + 
      533*T1^8*T2^2 - 396*T1^9*T2^2 + 62*T1^10*T2^2 - 112*T2^3 + 
      450*T1*T2^3 + 951*T1^2*T2^3 - 5920*T1^3*T2^3 + 7263*T1^4*T2^3 - 
      3267*T1^5*T2^3 - 3267*T1^6*T2^3 + 7263*T1^7*T2^3 - 5920*T1^8*T2^3 + 
      951*T1^9*T2^3 + 450*T1^10*T2^3 - 112*T1^11*T2^3 + 134*T2^4 - 
      198*T1*T2^4 - 2919*T1^2*T2^4 + 7263*T1^3*T2^4 + 2662*T1^4*T2^4 - 
      16703*T1^5*T2^4 + 23310*T1^6*T2^4 - 16703*T1^7*T2^4 + 2662*T1^8*T2^4 + 
      7263*T1^9*T2^4 - 2919*T1^10*T2^4 - 198*T1^11*T2^4 + 134*T1^12*T2^4 - 
      112*T2^5 - 198*T1*T2^5 + 3819*T1^2*T2^5 - 3267*T1^3*T2^5 - 
      16703*T1^4*T2^5 + 23474*T1^5*T2^5 - 11084*T1^6*T2^5 - 11084*T1^7*T2^5 + 
      23474*T1^8*T2^5 - 16703*T1^9*T2^5 - 3267*T1^10*T2^5 + 3819*T1^11*T2^5 - 
      198*T1^12*T2^5 - 112*T1^13*T2^5 + 62*T2^6 + 450*T1*T2^6 - 
      2919*T1^2*T2^6 - 3267*T1^3*T2^6 + 23310*T1^4*T2^6 - 11084*T1^5*T2^6 - 
      11670*T1^6*T2^6 + 23692*T1^7*T2^6 - 11670*T1^8*T2^6 - 11084*T1^9*T2^6 + 
      23310*T1^10*T2^6 - 3267*T1^11*T2^6 - 2919*T1^12*T2^6 + 450*T1^13*T2^6 + 
      62*T1^14*T2^6 - 18*T2^7 - 396*T1*T2^7 + 951*T1^2*T2^7 + 
      7263*T1^3*T2^7 - 16703*T1^4*T2^7 - 11084*T1^5*T2^7 + 23692*T1^6*T2^7 - 
      12640*T1^7*T2^7 - 12640*T1^8*T2^7 + 23692*T1^9*T2^7 - 
      11084*T1^10*T2^7 - 16703*T1^11*T2^7 + 7263*T1^12*T2^7 + 
      951*T1^13*T2^7 - 396*T1^14*T2^7 - 18*T1^15*T2^7 + 2*T2^8 + 
      144*T1*T2^8 + 533*T1^2*T2^8 - 5920*T1^3*T2^8 + 2662*T1^4*T2^8 + 
      23474*T1^5*T2^8 - 11670*T1^6*T2^8 - 12640*T1^7*T2^8 + 26412*T1^8*T2^8 - 
      12640*T1^9*T2^8 - 11670*T1^10*T2^8 + 23474*T1^11*T2^8 + 
      2662*T1^12*T2^8 - 5920*T1^13*T2^8 + 533*T1^14*T2^8 + 144*T1^15*T2^8 + 
      2*T1^16*T2^8 - 18*T1*T2^9 - 396*T1^2*T2^9 + 951*T1^3*T2^9 + 
      7263*T1^4*T2^9 - 16703*T1^5*T2^9 - 11084*T1^6*T2^9 + 23692*T1^7*T2^9 - 
      12640*T1^8*T2^9 - 12640*T1^9*T2^9 + 23692*T1^10*T2^9 - 
      11084*T1^11*T2^9 - 16703*T1^12*T2^9 + 7263*T1^13*T2^9 + 
      951*T1^14*T2^9 - 396*T1^15*T2^9 - 18*T1^16*T2^9 + 62*T1^2*T2^10 + 
      450*T1^3*T2^10 - 2919*T1^4*T2^10 - 3267*T1^5*T2^10 + 23310*T1^6*T2^10 - 
      11084*T1^7*T2^10 - 11670*T1^8*T2^10 + 23692*T1^9*T2^10 - 
      11670*T1^10*T2^10 - 11084*T1^11*T2^10 + 23310*T1^12*T2^10 - 
      3267*T1^13*T2^10 - 2919*T1^14*T2^10 + 450*T1^15*T2^10 + 
      62*T1^16*T2^10 - 112*T1^3*T2^11 - 198*T1^4*T2^11 + 3819*T1^5*T2^11 - 
      3267*T1^6*T2^11 - 16703*T1^7*T2^11 + 23474*T1^8*T2^11 - 
      11084*T1^9*T2^11 - 11084*T1^10*T2^11 + 23474*T1^11*T2^11 - 
      16703*T1^12*T2^11 - 3267*T1^13*T2^11 + 3819*T1^14*T2^11 - 
      198*T1^15*T2^11 - 112*T1^16*T2^11 + 134*T1^4*T2^12 - 198*T1^5*T2^12 - 
      2919*T1^6*T2^12 + 7263*T1^7*T2^12 + 2662*T1^8*T2^12 - 
      16703*T1^9*T2^12 + 23310*T1^10*T2^12 - 16703*T1^11*T2^12 + 
      2662*T1^12*T2^12 + 7263*T1^13*T2^12 - 2919*T1^14*T2^12 - 
      198*T1^15*T2^12 + 134*T1^16*T2^12 - 112*T1^5*T2^13 + 450*T1^6*T2^13 + 
      951*T1^7*T2^13 - 5920*T1^8*T2^13 + 7263*T1^9*T2^13 - 3267*T1^10*T2^13 - 
      3267*T1^11*T2^13 + 7263*T1^12*T2^13 - 5920*T1^13*T2^13 + 
      951*T1^14*T2^13 + 450*T1^15*T2^13 - 112*T1^16*T2^13 + 62*T1^6*T2^14 - 
      396*T1^7*T2^14 + 533*T1^8*T2^14 + 951*T1^9*T2^14 - 2919*T1^10*T2^14 + 
      3819*T1^11*T2^14 - 2919*T1^12*T2^14 + 951*T1^13*T2^14 + 
      533*T1^14*T2^14 - 396*T1^15*T2^14 + 62*T1^16*T2^14 - 18*T1^7*T2^15 + 
      144*T1^8*T2^15 - 396*T1^9*T2^15 + 450*T1^10*T2^15 - 198*T1^11*T2^15 - 
      198*T1^12*T2^15 + 450*T1^13*T2^15 - 396*T1^14*T2^15 + 144*T1^15*T2^15 - 
      18*T1^16*T2^15 + 2*T1^8*T2^16 - 18*T1^9*T2^16 + 62*T1^10*T2^16 - 
      112*T1^11*T2^16 + 134*T1^12*T2^16 - 112*T1^13*T2^16 + 62*T1^14*T2^16 - 
      18*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 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 + 112*T1*T2 - 304*T1^2*T2 + 352*T1^3*T2 - 
      160*T1^4*T2 - 160*T1^5*T2 + 352*T1^6*T2 - 304*T1^7*T2 + 112*T1^8*T2 - 
      16*T1^9*T2 + 54*T2^2 - 304*T1*T2^2 + 487*T1^2*T2^2 + 381*T1^3*T2^2 - 
      1640*T1^4*T2^2 + 2277*T1^5*T2^2 - 1640*T1^6*T2^2 + 381*T1^7*T2^2 + 
      487*T1^8*T2^2 - 304*T1^9*T2^2 + 54*T1^10*T2^2 - 98*T2^3 + 352*T1*T2^3 + 
      381*T1^2*T2^3 - 3490*T1^3*T2^3 + 4524*T1^4*T2^3 - 2176*T1^5*T2^3 - 
      2176*T1^6*T2^3 + 4524*T1^7*T2^3 - 3490*T1^8*T2^3 + 381*T1^9*T2^3 + 
      352*T1^10*T2^3 - 98*T1^11*T2^3 + 118*T2^4 - 160*T1*T2^4 - 
      1640*T1^2*T2^4 + 4524*T1^3*T2^4 + 1442*T1^4*T2^4 - 10435*T1^5*T2^4 + 
      15280*T1^6*T2^4 - 10435*T1^7*T2^4 + 1442*T1^8*T2^4 + 4524*T1^9*T2^4 - 
      1640*T1^10*T2^4 - 160*T1^11*T2^4 + 118*T1^12*T2^4 - 98*T2^5 - 
      160*T1*T2^5 + 2277*T1^2*T2^5 - 2176*T1^3*T2^5 - 10435*T1^4*T2^5 + 
      15328*T1^5*T2^5 - 7928*T1^6*T2^5 - 7928*T1^7*T2^5 + 15328*T1^8*T2^5 - 
      10435*T1^9*T2^5 - 2176*T1^10*T2^5 + 2277*T1^11*T2^5 - 160*T1^12*T2^5 - 
      98*T1^13*T2^5 + 54*T2^6 + 352*T1*T2^6 - 1640*T1^2*T2^6 - 
      2176*T1^3*T2^6 + 15280*T1^4*T2^6 - 7928*T1^5*T2^6 - 7184*T1^6*T2^6 + 
      17064*T1^7*T2^6 - 7184*T1^8*T2^6 - 7928*T1^9*T2^6 + 15280*T1^10*T2^6 - 
      2176*T1^11*T2^6 - 1640*T1^12*T2^6 + 352*T1^13*T2^6 + 54*T1^14*T2^6 - 
      16*T2^7 - 304*T1*T2^7 + 381*T1^2*T2^7 + 4524*T1^3*T2^7 - 
      10435*T1^4*T2^7 - 7928*T1^5*T2^7 + 17064*T1^6*T2^7 - 10334*T1^7*T2^7 - 
      10334*T1^8*T2^7 + 17064*T1^9*T2^7 - 7928*T1^10*T2^7 - 
      10435*T1^11*T2^7 + 4524*T1^12*T2^7 + 381*T1^13*T2^7 - 304*T1^14*T2^7 - 
      16*T1^15*T2^7 + 2*T2^8 + 112*T1*T2^8 + 487*T1^2*T2^8 - 3490*T1^3*T2^8 + 
      1442*T1^4*T2^8 + 15328*T1^5*T2^8 - 7184*T1^6*T2^8 - 10334*T1^7*T2^8 + 
      22740*T1^8*T2^8 - 10334*T1^9*T2^8 - 7184*T1^10*T2^8 + 
      15328*T1^11*T2^8 + 1442*T1^12*T2^8 - 3490*T1^13*T2^8 + 487*T1^14*T2^8 + 
      112*T1^15*T2^8 + 2*T1^16*T2^8 - 16*T1*T2^9 - 304*T1^2*T2^9 + 
      381*T1^3*T2^9 + 4524*T1^4*T2^9 - 10435*T1^5*T2^9 - 7928*T1^6*T2^9 + 
      17064*T1^7*T2^9 - 10334*T1^8*T2^9 - 10334*T1^9*T2^9 + 
      17064*T1^10*T2^9 - 7928*T1^11*T2^9 - 10435*T1^12*T2^9 + 
      4524*T1^13*T2^9 + 381*T1^14*T2^9 - 304*T1^15*T2^9 - 16*T1^16*T2^9 + 
      54*T1^2*T2^10 + 352*T1^3*T2^10 - 1640*T1^4*T2^10 - 2176*T1^5*T2^10 + 
      15280*T1^6*T2^10 - 7928*T1^7*T2^10 - 7184*T1^8*T2^10 + 
      17064*T1^9*T2^10 - 7184*T1^10*T2^10 - 7928*T1^11*T2^10 + 
      15280*T1^12*T2^10 - 2176*T1^13*T2^10 - 1640*T1^14*T2^10 + 
      352*T1^15*T2^10 + 54*T1^16*T2^10 - 98*T1^3*T2^11 - 160*T1^4*T2^11 + 
      2277*T1^5*T2^11 - 2176*T1^6*T2^11 - 10435*T1^7*T2^11 + 
      15328*T1^8*T2^11 - 7928*T1^9*T2^11 - 7928*T1^10*T2^11 + 
      15328*T1^11*T2^11 - 10435*T1^12*T2^11 - 2176*T1^13*T2^11 + 
      2277*T1^14*T2^11 - 160*T1^15*T2^11 - 98*T1^16*T2^11 + 118*T1^4*T2^12 - 
      160*T1^5*T2^12 - 1640*T1^6*T2^12 + 4524*T1^7*T2^12 + 1442*T1^8*T2^12 - 
      10435*T1^9*T2^12 + 15280*T1^10*T2^12 - 10435*T1^11*T2^12 + 
      1442*T1^12*T2^12 + 4524*T1^13*T2^12 - 1640*T1^14*T2^12 - 
      160*T1^15*T2^12 + 118*T1^16*T2^12 - 98*T1^5*T2^13 + 352*T1^6*T2^13 + 
      381*T1^7*T2^13 - 3490*T1^8*T2^13 + 4524*T1^9*T2^13 - 2176*T1^10*T2^13 - 
      2176*T1^11*T2^13 + 4524*T1^12*T2^13 - 3490*T1^13*T2^13 + 
      381*T1^14*T2^13 + 352*T1^15*T2^13 - 98*T1^16*T2^13 + 54*T1^6*T2^14 - 
      304*T1^7*T2^14 + 487*T1^8*T2^14 + 381*T1^9*T2^14 - 1640*T1^10*T2^14 + 
      2277*T1^11*T2^14 - 1640*T1^12*T2^14 + 381*T1^13*T2^14 + 
      487*T1^14*T2^14 - 304*T1^15*T2^14 + 54*T1^16*T2^14 - 16*T1^7*T2^15 + 
      112*T1^8*T2^15 - 304*T1^9*T2^15 + 352*T1^10*T2^15 - 160*T1^11*T2^15 - 
      160*T1^12*T2^15 + 352*T1^13*T2^15 - 304*T1^14*T2^15 + 112*T1^15*T2^15 - 
      16*T1^16*T2^15 + 2*T1^8*T2^16 - 16*T1^9*T2^16 + 54*T1^10*T2^16 - 
      98*T1^11*T2^16 + 118*T1^12*T2^16 - 98*T1^13*T2^16 + 54*T1^14*T2^16 - 
      16*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 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), (1 - 8*T1 + 29*T1^2 - 63*T1^3 + 81*T1^4 - 63*T1^5 + 29*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 168*T1^2*T2 + 272*T1^3*T2 - 
     144*T1^4*T2 - 144*T1^5*T2 + 272*T1^6*T2 - 168*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 29*T2^2 - 168*T1*T2^2 + 359*T1^2*T2^2 - 206*T1^3*T2^2 - 
     843*T1^4*T2^2 + 1535*T1^5*T2^2 - 843*T1^6*T2^2 - 206*T1^7*T2^2 + 
     359*T1^8*T2^2 - 168*T1^9*T2^2 + 29*T1^10*T2^2 - 63*T2^3 + 272*T1*T2^3 - 
     206*T1^2*T2^3 - 970*T1^3*T2^3 + 3340*T1^4*T2^3 - 2073*T1^5*T2^3 - 
     2073*T1^6*T2^3 + 3340*T1^7*T2^3 - 970*T1^8*T2^3 - 206*T1^9*T2^3 + 
     272*T1^10*T2^3 - 63*T1^11*T2^3 + 81*T2^4 - 144*T1*T2^4 - 843*T1^2*T2^4 + 
     3340*T1^3*T2^4 - 4822*T1^4*T2^4 - 3584*T1^5*T2^4 + 9898*T1^6*T2^4 - 
     3584*T1^7*T2^4 - 4822*T1^8*T2^4 + 3340*T1^9*T2^4 - 843*T1^10*T2^4 - 
     144*T1^11*T2^4 + 81*T1^12*T2^4 - 63*T2^5 - 144*T1*T2^5 + 
     1535*T1^2*T2^5 - 2073*T1^3*T2^5 - 3584*T1^4*T2^5 + 19758*T1^5*T2^5 - 
     12870*T1^6*T2^5 - 12870*T1^7*T2^5 + 19758*T1^8*T2^5 - 3584*T1^9*T2^5 - 
     2073*T1^10*T2^5 + 1535*T1^11*T2^5 - 144*T1^12*T2^5 - 63*T1^13*T2^5 + 
     29*T2^6 + 272*T1*T2^6 - 843*T1^2*T2^6 - 2073*T1^3*T2^6 + 
     9898*T1^4*T2^6 - 12870*T1^5*T2^6 - 27494*T1^6*T2^6 + 56486*T1^7*T2^6 - 
     27494*T1^8*T2^6 - 12870*T1^9*T2^6 + 9898*T1^10*T2^6 - 2073*T1^11*T2^6 - 
     843*T1^12*T2^6 + 272*T1^13*T2^6 + 29*T1^14*T2^6 - 8*T2^7 - 168*T1*T2^7 - 
     206*T1^2*T2^7 + 3340*T1^3*T2^7 - 3584*T1^4*T2^7 - 12870*T1^5*T2^7 + 
     56486*T1^6*T2^7 - 35952*T1^7*T2^7 - 35952*T1^8*T2^7 + 56486*T1^9*T2^7 - 
     12870*T1^10*T2^7 - 3584*T1^11*T2^7 + 3340*T1^12*T2^7 - 206*T1^13*T2^7 - 
     168*T1^14*T2^7 - 8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 359*T1^2*T2^8 - 
     970*T1^3*T2^8 - 4822*T1^4*T2^8 + 19758*T1^5*T2^8 - 27494*T1^6*T2^8 - 
     35952*T1^7*T2^8 + 82200*T1^8*T2^8 - 35952*T1^9*T2^8 - 27494*T1^10*T2^8 + 
     19758*T1^11*T2^8 - 4822*T1^12*T2^8 - 970*T1^13*T2^8 + 359*T1^14*T2^8 + 
     56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 168*T1^2*T2^9 - 206*T1^3*T2^9 + 
     3340*T1^4*T2^9 - 3584*T1^5*T2^9 - 12870*T1^6*T2^9 + 56486*T1^7*T2^9 - 
     35952*T1^8*T2^9 - 35952*T1^9*T2^9 + 56486*T1^10*T2^9 - 
     12870*T1^11*T2^9 - 3584*T1^12*T2^9 + 3340*T1^13*T2^9 - 206*T1^14*T2^9 - 
     168*T1^15*T2^9 - 8*T1^16*T2^9 + 29*T1^2*T2^10 + 272*T1^3*T2^10 - 
     843*T1^4*T2^10 - 2073*T1^5*T2^10 + 9898*T1^6*T2^10 - 12870*T1^7*T2^10 - 
     27494*T1^8*T2^10 + 56486*T1^9*T2^10 - 27494*T1^10*T2^10 - 
     12870*T1^11*T2^10 + 9898*T1^12*T2^10 - 2073*T1^13*T2^10 - 
     843*T1^14*T2^10 + 272*T1^15*T2^10 + 29*T1^16*T2^10 - 63*T1^3*T2^11 - 
     144*T1^4*T2^11 + 1535*T1^5*T2^11 - 2073*T1^6*T2^11 - 3584*T1^7*T2^11 + 
     19758*T1^8*T2^11 - 12870*T1^9*T2^11 - 12870*T1^10*T2^11 + 
     19758*T1^11*T2^11 - 3584*T1^12*T2^11 - 2073*T1^13*T2^11 + 
     1535*T1^14*T2^11 - 144*T1^15*T2^11 - 63*T1^16*T2^11 + 81*T1^4*T2^12 - 
     144*T1^5*T2^12 - 843*T1^6*T2^12 + 3340*T1^7*T2^12 - 4822*T1^8*T2^12 - 
     3584*T1^9*T2^12 + 9898*T1^10*T2^12 - 3584*T1^11*T2^12 - 
     4822*T1^12*T2^12 + 3340*T1^13*T2^12 - 843*T1^14*T2^12 - 
     144*T1^15*T2^12 + 81*T1^16*T2^12 - 63*T1^5*T2^13 + 272*T1^6*T2^13 - 
     206*T1^7*T2^13 - 970*T1^8*T2^13 + 3340*T1^9*T2^13 - 2073*T1^10*T2^13 - 
     2073*T1^11*T2^13 + 3340*T1^12*T2^13 - 970*T1^13*T2^13 - 
     206*T1^14*T2^13 + 272*T1^15*T2^13 - 63*T1^16*T2^13 + 29*T1^6*T2^14 - 
     168*T1^7*T2^14 + 359*T1^8*T2^14 - 206*T1^9*T2^14 - 843*T1^10*T2^14 + 
     1535*T1^11*T2^14 - 843*T1^12*T2^14 - 206*T1^13*T2^14 + 359*T1^14*T2^14 - 
     168*T1^15*T2^14 + 29*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 
     168*T1^9*T2^15 + 272*T1^10*T2^15 - 144*T1^11*T2^15 - 144*T1^12*T2^15 + 
     272*T1^13*T2^15 - 168*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + 
     T1^8*T2^16 - 8*T1^9*T2^16 + 29*T1^10*T2^16 - 63*T1^11*T2^16 + 
     81*T1^12*T2^16 - 63*T1^13*T2^16 + 29*T1^14*T2^16 - 8*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, 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), (7 - 32*T1 + 64*T1^2 - 84*T1^3 + 87*T1^4 - 84*T1^5 + 64*T1^6 - 
     32*T1^7 + 7*T1^8 - 32*T2 + 114*T1*T2 - 146*T1^2*T2 + 92*T1^3*T2 - 
     14*T1^4*T2 - 14*T1^5*T2 + 92*T1^6*T2 - 146*T1^7*T2 + 114*T1^8*T2 - 
     32*T1^9*T2 + 64*T2^2 - 146*T1*T2^2 - 21*T1^2*T2^2 + 295*T1^3*T2^2 - 
     429*T1^4*T2^2 + 357*T1^5*T2^2 - 429*T1^6*T2^2 + 295*T1^7*T2^2 - 
     21*T1^8*T2^2 - 146*T1^9*T2^2 + 64*T1^10*T2^2 - 84*T2^3 + 92*T1*T2^3 + 
     295*T1^2*T2^3 - 514*T1^3*T2^3 + 338*T1^4*T2^3 + 21*T1^5*T2^3 + 
     21*T1^6*T2^3 + 338*T1^7*T2^3 - 514*T1^8*T2^3 + 295*T1^9*T2^3 + 
     92*T1^10*T2^3 - 84*T1^11*T2^3 + 87*T2^4 - 14*T1*T2^4 - 429*T1^2*T2^4 + 
     338*T1^3*T2^4 + 121*T1^4*T2^4 - 448*T1^5*T2^4 + 185*T1^6*T2^4 - 
     448*T1^7*T2^4 + 121*T1^8*T2^4 + 338*T1^9*T2^4 - 429*T1^10*T2^4 - 
     14*T1^11*T2^4 + 87*T1^12*T2^4 - 84*T2^5 - 14*T1*T2^5 + 357*T1^2*T2^5 + 
     21*T1^3*T2^5 - 448*T1^4*T2^5 + 418*T1^5*T2^5 + 55*T1^6*T2^5 + 
     55*T1^7*T2^5 + 418*T1^8*T2^5 - 448*T1^9*T2^5 + 21*T1^10*T2^5 + 
     357*T1^11*T2^5 - 14*T1^12*T2^5 - 84*T1^13*T2^5 + 64*T2^6 + 92*T1*T2^6 - 
     429*T1^2*T2^6 + 21*T1^3*T2^6 + 185*T1^4*T2^6 + 55*T1^5*T2^6 - 
     340*T1^6*T2^6 + 166*T1^7*T2^6 - 340*T1^8*T2^6 + 55*T1^9*T2^6 + 
     185*T1^10*T2^6 + 21*T1^11*T2^6 - 429*T1^12*T2^6 + 92*T1^13*T2^6 + 
     64*T1^14*T2^6 - 32*T2^7 - 146*T1*T2^7 + 295*T1^2*T2^7 + 338*T1^3*T2^7 - 
     448*T1^4*T2^7 + 55*T1^5*T2^7 + 166*T1^6*T2^7 - 40*T1^7*T2^7 - 
     40*T1^8*T2^7 + 166*T1^9*T2^7 + 55*T1^10*T2^7 - 448*T1^11*T2^7 + 
     338*T1^12*T2^7 + 295*T1^13*T2^7 - 146*T1^14*T2^7 - 32*T1^15*T2^7 + 
     7*T2^8 + 114*T1*T2^8 - 21*T1^2*T2^8 - 514*T1^3*T2^8 + 121*T1^4*T2^8 + 
     418*T1^5*T2^8 - 340*T1^6*T2^8 - 40*T1^7*T2^8 + 216*T1^8*T2^8 - 
     40*T1^9*T2^8 - 340*T1^10*T2^8 + 418*T1^11*T2^8 + 121*T1^12*T2^8 - 
     514*T1^13*T2^8 - 21*T1^14*T2^8 + 114*T1^15*T2^8 + 7*T1^16*T2^8 - 
     32*T1*T2^9 - 146*T1^2*T2^9 + 295*T1^3*T2^9 + 338*T1^4*T2^9 - 
     448*T1^5*T2^9 + 55*T1^6*T2^9 + 166*T1^7*T2^9 - 40*T1^8*T2^9 - 
     40*T1^9*T2^9 + 166*T1^10*T2^9 + 55*T1^11*T2^9 - 448*T1^12*T2^9 + 
     338*T1^13*T2^9 + 295*T1^14*T2^9 - 146*T1^15*T2^9 - 32*T1^16*T2^9 + 
     64*T1^2*T2^10 + 92*T1^3*T2^10 - 429*T1^4*T2^10 + 21*T1^5*T2^10 + 
     185*T1^6*T2^10 + 55*T1^7*T2^10 - 340*T1^8*T2^10 + 166*T1^9*T2^10 - 
     340*T1^10*T2^10 + 55*T1^11*T2^10 + 185*T1^12*T2^10 + 21*T1^13*T2^10 - 
     429*T1^14*T2^10 + 92*T1^15*T2^10 + 64*T1^16*T2^10 - 84*T1^3*T2^11 - 
     14*T1^4*T2^11 + 357*T1^5*T2^11 + 21*T1^6*T2^11 - 448*T1^7*T2^11 + 
     418*T1^8*T2^11 + 55*T1^9*T2^11 + 55*T1^10*T2^11 + 418*T1^11*T2^11 - 
     448*T1^12*T2^11 + 21*T1^13*T2^11 + 357*T1^14*T2^11 - 14*T1^15*T2^11 - 
     84*T1^16*T2^11 + 87*T1^4*T2^12 - 14*T1^5*T2^12 - 429*T1^6*T2^12 + 
     338*T1^7*T2^12 + 121*T1^8*T2^12 - 448*T1^9*T2^12 + 185*T1^10*T2^12 - 
     448*T1^11*T2^12 + 121*T1^12*T2^12 + 338*T1^13*T2^12 - 429*T1^14*T2^12 - 
     14*T1^15*T2^12 + 87*T1^16*T2^12 - 84*T1^5*T2^13 + 92*T1^6*T2^13 + 
     295*T1^7*T2^13 - 514*T1^8*T2^13 + 338*T1^9*T2^13 + 21*T1^10*T2^13 + 
     21*T1^11*T2^13 + 338*T1^12*T2^13 - 514*T1^13*T2^13 + 295*T1^14*T2^13 + 
     92*T1^15*T2^13 - 84*T1^16*T2^13 + 64*T1^6*T2^14 - 146*T1^7*T2^14 - 
     21*T1^8*T2^14 + 295*T1^9*T2^14 - 429*T1^10*T2^14 + 357*T1^11*T2^14 - 
     429*T1^12*T2^14 + 295*T1^13*T2^14 - 21*T1^14*T2^14 - 146*T1^15*T2^14 + 
     64*T1^16*T2^14 - 32*T1^7*T2^15 + 114*T1^8*T2^15 - 146*T1^9*T2^15 + 
     92*T1^10*T2^15 - 14*T1^11*T2^15 - 14*T1^12*T2^15 + 92*T1^13*T2^15 - 
     146*T1^14*T2^15 + 114*T1^15*T2^15 - 32*T1^16*T2^15 + 7*T1^8*T2^16 - 
     32*T1^9*T2^16 + 64*T1^10*T2^16 - 84*T1^11*T2^16 + 87*T1^12*T2^16 - 
     84*T1^13*T2^16 + 64*T1^14*T2^16 - 32*T1^15*T2^16 + 7*T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 366] -> 
  {-((4 - 20*T + 44*T^2 - 57*T^3 + 44*T^4 - 20*T^5 + 4*T^6)/T^3), 
   -((4*T1^2 - 8*T1^3 + 4*T1^4 - 18*T1^2*T2 + 18*T1^3*T2 + 18*T1^4*T2 - 
      18*T1^5*T2 + 4*T2^2 - 18*T1*T2^2 + 80*T1^2*T2^2 - 87*T1^3*T2^2 + 
      26*T1^4*T2^2 - 87*T1^5*T2^2 + 80*T1^6*T2^2 - 18*T1^7*T2^2 + 
      4*T1^8*T2^2 - 8*T2^3 + 18*T1*T2^3 - 87*T1^2*T2^3 + 74*T1^3*T2^3 + 
      58*T1^4*T2^3 + 58*T1^5*T2^3 + 74*T1^6*T2^3 - 87*T1^7*T2^3 + 
      18*T1^8*T2^3 - 8*T1^9*T2^3 + 4*T2^4 + 18*T1*T2^4 + 26*T1^2*T2^4 + 
      58*T1^3*T2^4 - 384*T1^4*T2^4 + 206*T1^5*T2^4 - 384*T1^6*T2^4 + 
      58*T1^7*T2^4 + 26*T1^8*T2^4 + 18*T1^9*T2^4 + 4*T1^10*T2^4 - 
      18*T1*T2^5 - 87*T1^2*T2^5 + 58*T1^3*T2^5 + 206*T1^4*T2^5 + 
      172*T1^5*T2^5 + 172*T1^6*T2^5 + 206*T1^7*T2^5 + 58*T1^8*T2^5 - 
      87*T1^9*T2^5 - 18*T1^10*T2^5 + 80*T1^2*T2^6 + 74*T1^3*T2^6 - 
      384*T1^4*T2^6 + 172*T1^5*T2^6 - 696*T1^6*T2^6 + 172*T1^7*T2^6 - 
      384*T1^8*T2^6 + 74*T1^9*T2^6 + 80*T1^10*T2^6 - 18*T1^2*T2^7 - 
      87*T1^3*T2^7 + 58*T1^4*T2^7 + 206*T1^5*T2^7 + 172*T1^6*T2^7 + 
      172*T1^7*T2^7 + 206*T1^8*T2^7 + 58*T1^9*T2^7 - 87*T1^10*T2^7 - 
      18*T1^11*T2^7 + 4*T1^2*T2^8 + 18*T1^3*T2^8 + 26*T1^4*T2^8 + 
      58*T1^5*T2^8 - 384*T1^6*T2^8 + 206*T1^7*T2^8 - 384*T1^8*T2^8 + 
      58*T1^9*T2^8 + 26*T1^10*T2^8 + 18*T1^11*T2^8 + 4*T1^12*T2^8 - 
      8*T1^3*T2^9 + 18*T1^4*T2^9 - 87*T1^5*T2^9 + 74*T1^6*T2^9 + 
      58*T1^7*T2^9 + 58*T1^8*T2^9 + 74*T1^9*T2^9 - 87*T1^10*T2^9 + 
      18*T1^11*T2^9 - 8*T1^12*T2^9 + 4*T1^4*T2^10 - 18*T1^5*T2^10 + 
      80*T1^6*T2^10 - 87*T1^7*T2^10 + 26*T1^8*T2^10 - 87*T1^9*T2^10 + 
      80*T1^10*T2^10 - 18*T1^11*T2^10 + 4*T1^12*T2^10 - 18*T1^7*T2^11 + 
      18*T1^8*T2^11 + 18*T1^9*T2^11 - 18*T1^10*T2^11 + 4*T1^8*T2^12 - 
      8*T1^9*T2^12 + 4*T1^10*T2^12)/(T1^6*T2^6))}, 
 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, (111 - 327*T1 + 613*T1^2 - 862*T1^3 + 969*T1^4 - 862*T1^5 + 
     613*T1^6 - 327*T1^7 + 111*T1^8 - 327*T2 + 642*T1*T2 - 852*T1^2*T2 + 
     743*T1^3*T2 - 319*T1^4*T2 - 319*T1^5*T2 + 743*T1^6*T2 - 852*T1^7*T2 + 
     642*T1^8*T2 - 327*T1^9*T2 + 613*T2^2 - 852*T1*T2^2 + 1095*T1^2*T2^2 - 
     1053*T1^3*T2^2 + 931*T1^4*T2^2 - 737*T1^5*T2^2 + 931*T1^6*T2^2 - 
     1053*T1^7*T2^2 + 1095*T1^8*T2^2 - 852*T1^9*T2^2 + 613*T1^10*T2^2 - 
     862*T2^3 + 743*T1*T2^3 - 1053*T1^2*T2^3 + 846*T1^3*T2^3 - 
     595*T1^4*T2^3 + 64*T1^5*T2^3 + 64*T1^6*T2^3 - 595*T1^7*T2^3 + 
     846*T1^8*T2^3 - 1053*T1^9*T2^3 + 743*T1^10*T2^3 - 862*T1^11*T2^3 + 
     969*T2^4 - 319*T1*T2^4 + 931*T1^2*T2^4 - 595*T1^3*T2^4 + 615*T1^4*T2^4 - 
     338*T1^5*T2^4 + 685*T1^6*T2^4 - 338*T1^7*T2^4 + 615*T1^8*T2^4 - 
     595*T1^9*T2^4 + 931*T1^10*T2^4 - 319*T1^11*T2^4 + 969*T1^12*T2^4 - 
     862*T2^5 - 319*T1*T2^5 - 737*T1^2*T2^5 + 64*T1^3*T2^5 - 338*T1^4*T2^5 + 
     26*T1^5*T2^5 - 358*T1^6*T2^5 - 358*T1^7*T2^5 + 26*T1^8*T2^5 - 
     338*T1^9*T2^5 + 64*T1^10*T2^5 - 737*T1^11*T2^5 - 319*T1^12*T2^5 - 
     862*T1^13*T2^5 + 613*T2^6 + 743*T1*T2^6 + 931*T1^2*T2^6 + 64*T1^3*T2^6 + 
     685*T1^4*T2^6 - 358*T1^5*T2^6 + 748*T1^6*T2^6 + 748*T1^8*T2^6 - 
     358*T1^9*T2^6 + 685*T1^10*T2^6 + 64*T1^11*T2^6 + 931*T1^12*T2^6 + 
     743*T1^13*T2^6 + 613*T1^14*T2^6 - 327*T2^7 - 852*T1*T2^7 - 
     1053*T1^2*T2^7 - 595*T1^3*T2^7 - 338*T1^4*T2^7 - 358*T1^5*T2^7 - 
     564*T1^7*T2^7 - 564*T1^8*T2^7 - 358*T1^10*T2^7 - 338*T1^11*T2^7 - 
     595*T1^12*T2^7 - 1053*T1^13*T2^7 - 852*T1^14*T2^7 - 327*T1^15*T2^7 + 
     111*T2^8 + 642*T1*T2^8 + 1095*T1^2*T2^8 + 846*T1^3*T2^8 + 
     615*T1^4*T2^8 + 26*T1^5*T2^8 + 748*T1^6*T2^8 - 564*T1^7*T2^8 + 
     1620*T1^8*T2^8 - 564*T1^9*T2^8 + 748*T1^10*T2^8 + 26*T1^11*T2^8 + 
     615*T1^12*T2^8 + 846*T1^13*T2^8 + 1095*T1^14*T2^8 + 642*T1^15*T2^8 + 
     111*T1^16*T2^8 - 327*T1*T2^9 - 852*T1^2*T2^9 - 1053*T1^3*T2^9 - 
     595*T1^4*T2^9 - 338*T1^5*T2^9 - 358*T1^6*T2^9 - 564*T1^8*T2^9 - 
     564*T1^9*T2^9 - 358*T1^11*T2^9 - 338*T1^12*T2^9 - 595*T1^13*T2^9 - 
     1053*T1^14*T2^9 - 852*T1^15*T2^9 - 327*T1^16*T2^9 + 613*T1^2*T2^10 + 
     743*T1^3*T2^10 + 931*T1^4*T2^10 + 64*T1^5*T2^10 + 685*T1^6*T2^10 - 
     358*T1^7*T2^10 + 748*T1^8*T2^10 + 748*T1^10*T2^10 - 358*T1^11*T2^10 + 
     685*T1^12*T2^10 + 64*T1^13*T2^10 + 931*T1^14*T2^10 + 743*T1^15*T2^10 + 
     613*T1^16*T2^10 - 862*T1^3*T2^11 - 319*T1^4*T2^11 - 737*T1^5*T2^11 + 
     64*T1^6*T2^11 - 338*T1^7*T2^11 + 26*T1^8*T2^11 - 358*T1^9*T2^11 - 
     358*T1^10*T2^11 + 26*T1^11*T2^11 - 338*T1^12*T2^11 + 64*T1^13*T2^11 - 
     737*T1^14*T2^11 - 319*T1^15*T2^11 - 862*T1^16*T2^11 + 969*T1^4*T2^12 - 
     319*T1^5*T2^12 + 931*T1^6*T2^12 - 595*T1^7*T2^12 + 615*T1^8*T2^12 - 
     338*T1^9*T2^12 + 685*T1^10*T2^12 - 338*T1^11*T2^12 + 615*T1^12*T2^12 - 
     595*T1^13*T2^12 + 931*T1^14*T2^12 - 319*T1^15*T2^12 + 969*T1^16*T2^12 - 
     862*T1^5*T2^13 + 743*T1^6*T2^13 - 1053*T1^7*T2^13 + 846*T1^8*T2^13 - 
     595*T1^9*T2^13 + 64*T1^10*T2^13 + 64*T1^11*T2^13 - 595*T1^12*T2^13 + 
     846*T1^13*T2^13 - 1053*T1^14*T2^13 + 743*T1^15*T2^13 - 862*T1^16*T2^13 + 
     613*T1^6*T2^14 - 852*T1^7*T2^14 + 1095*T1^8*T2^14 - 1053*T1^9*T2^14 + 
     931*T1^10*T2^14 - 737*T1^11*T2^14 + 931*T1^12*T2^14 - 1053*T1^13*T2^14 + 
     1095*T1^14*T2^14 - 852*T1^15*T2^14 + 613*T1^16*T2^14 - 327*T1^7*T2^15 + 
     642*T1^8*T2^15 - 852*T1^9*T2^15 + 743*T1^10*T2^15 - 319*T1^11*T2^15 - 
     319*T1^12*T2^15 + 743*T1^13*T2^15 - 852*T1^14*T2^15 + 642*T1^15*T2^15 - 
     327*T1^16*T2^15 + 111*T1^8*T2^16 - 327*T1^9*T2^16 + 613*T1^10*T2^16 - 
     862*T1^11*T2^16 + 969*T1^12*T2^16 - 862*T1^13*T2^16 + 613*T1^14*T2^16 - 
     327*T1^15*T2^16 + 111*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 368] -> 
  {(6 - 20*T + 36*T^2 - 43*T^3 + 36*T^4 - 20*T^5 + 6*T^6)/T^3, 
   (699 - 2281*T1 + 4072*T1^2 - 4851*T1^3 + 4072*T1^4 - 2281*T1^5 + 
     699*T1^6 - 2281*T2 + 5200*T1*T2 - 5905*T1^2*T2 + 2573*T1^3*T2 + 
     2573*T1^4*T2 - 5905*T1^5*T2 + 5200*T1^6*T2 - 2281*T1^7*T2 + 4072*T2^2 - 
     5905*T1*T2^2 + 3104*T1^2*T2^2 + 3039*T1^3*T2^2 - 5886*T1^4*T2^2 + 
     3039*T1^5*T2^2 + 3104*T1^6*T2^2 - 5905*T1^7*T2^2 + 4072*T1^8*T2^2 - 
     4851*T2^3 + 2573*T1*T2^3 + 3039*T1^2*T2^3 - 7368*T1^3*T2^3 + 
     3533*T1^4*T2^3 + 3533*T1^5*T2^3 - 7368*T1^6*T2^3 + 3039*T1^7*T2^3 + 
     2573*T1^8*T2^3 - 4851*T1^9*T2^3 + 4072*T2^4 + 2573*T1*T2^4 - 
     5886*T1^2*T2^4 + 3533*T1^3*T2^4 + 6056*T1^4*T2^4 - 10266*T1^5*T2^4 + 
     6056*T1^6*T2^4 + 3533*T1^7*T2^4 - 5886*T1^8*T2^4 + 2573*T1^9*T2^4 + 
     4072*T1^10*T2^4 - 2281*T2^5 - 5905*T1*T2^5 + 3039*T1^2*T2^5 + 
     3533*T1^3*T2^5 - 10266*T1^4*T2^5 + 4846*T1^5*T2^5 + 4846*T1^6*T2^5 - 
     10266*T1^7*T2^5 + 3533*T1^8*T2^5 + 3039*T1^9*T2^5 - 5905*T1^10*T2^5 - 
     2281*T1^11*T2^5 + 699*T2^6 + 5200*T1*T2^6 + 3104*T1^2*T2^6 - 
     7368*T1^3*T2^6 + 6056*T1^4*T2^6 + 4846*T1^5*T2^6 - 9576*T1^6*T2^6 + 
     4846*T1^7*T2^6 + 6056*T1^8*T2^6 - 7368*T1^9*T2^6 + 3104*T1^10*T2^6 + 
     5200*T1^11*T2^6 + 699*T1^12*T2^6 - 2281*T1*T2^7 - 5905*T1^2*T2^7 + 
     3039*T1^3*T2^7 + 3533*T1^4*T2^7 - 10266*T1^5*T2^7 + 4846*T1^6*T2^7 + 
     4846*T1^7*T2^7 - 10266*T1^8*T2^7 + 3533*T1^9*T2^7 + 3039*T1^10*T2^7 - 
     5905*T1^11*T2^7 - 2281*T1^12*T2^7 + 4072*T1^2*T2^8 + 2573*T1^3*T2^8 - 
     5886*T1^4*T2^8 + 3533*T1^5*T2^8 + 6056*T1^6*T2^8 - 10266*T1^7*T2^8 + 
     6056*T1^8*T2^8 + 3533*T1^9*T2^8 - 5886*T1^10*T2^8 + 2573*T1^11*T2^8 + 
     4072*T1^12*T2^8 - 4851*T1^3*T2^9 + 2573*T1^4*T2^9 + 3039*T1^5*T2^9 - 
     7368*T1^6*T2^9 + 3533*T1^7*T2^9 + 3533*T1^8*T2^9 - 7368*T1^9*T2^9 + 
     3039*T1^10*T2^9 + 2573*T1^11*T2^9 - 4851*T1^12*T2^9 + 4072*T1^4*T2^10 - 
     5905*T1^5*T2^10 + 3104*T1^6*T2^10 + 3039*T1^7*T2^10 - 5886*T1^8*T2^10 + 
     3039*T1^9*T2^10 + 3104*T1^10*T2^10 - 5905*T1^11*T2^10 + 
     4072*T1^12*T2^10 - 2281*T1^5*T2^11 + 5200*T1^6*T2^11 - 5905*T1^7*T2^11 + 
     2573*T1^8*T2^11 + 2573*T1^9*T2^11 - 5905*T1^10*T2^11 + 
     5200*T1^11*T2^11 - 2281*T1^12*T2^11 + 699*T1^6*T2^12 - 2281*T1^7*T2^12 + 
     4072*T1^8*T2^12 - 4851*T1^9*T2^12 + 4072*T1^10*T2^12 - 
     2281*T1^11*T2^12 + 699*T1^12*T2^12)/(T1^6*T2^6)}, 
 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, -((3 - 9*T1 + 18*T1^2 - 24*T1^3 + 30*T1^4 - 33*T1^5 + 
      30*T1^6 - 24*T1^7 + 18*T1^8 - 9*T1^9 + 3*T1^10 - 9*T2 + 18*T1*T2 - 
      27*T1^2*T2 + 18*T1^3*T2 - 18*T1^4*T2 + 9*T1^5*T2 + 9*T1^6*T2 - 
      18*T1^7*T2 + 18*T1^8*T2 - 27*T1^9*T2 + 18*T1^10*T2 - 9*T1^11*T2 + 
      18*T2^2 - 27*T1*T2^2 + 44*T1^2*T2^2 - 31*T1^3*T2^2 + 61*T1^4*T2^2 - 
      58*T1^5*T2^2 + 48*T1^6*T2^2 - 58*T1^7*T2^2 + 61*T1^8*T2^2 - 
      31*T1^9*T2^2 + 44*T1^10*T2^2 - 27*T1^11*T2^2 + 18*T1^12*T2^2 - 
      24*T2^3 + 18*T1*T2^3 - 31*T1^2*T2^3 - 6*T1^3*T2^3 - 42*T1^4*T2^3 + 
      3*T1^5*T2^3 + 9*T1^6*T2^3 + 9*T1^7*T2^3 + 3*T1^8*T2^3 - 42*T1^9*T2^3 - 
      6*T1^10*T2^3 - 31*T1^11*T2^3 + 18*T1^12*T2^3 - 24*T1^13*T2^3 + 
      30*T2^4 - 18*T1*T2^4 + 61*T1^2*T2^4 - 42*T1^3*T2^4 + 153*T1^4*T2^4 - 
      106*T1^5*T2^4 + 147*T1^6*T2^4 - 179*T1^7*T2^4 + 147*T1^8*T2^4 - 
      106*T1^9*T2^4 + 153*T1^10*T2^4 - 42*T1^11*T2^4 + 61*T1^12*T2^4 - 
      18*T1^13*T2^4 + 30*T1^14*T2^4 - 33*T2^5 + 9*T1*T2^5 - 58*T1^2*T2^5 + 
      3*T1^3*T2^5 - 106*T1^4*T2^5 - 14*T1^5*T2^5 - 38*T1^6*T2^5 + 
      24*T1^7*T2^5 + 24*T1^8*T2^5 - 38*T1^9*T2^5 - 14*T1^10*T2^5 - 
      106*T1^11*T2^5 + 3*T1^12*T2^5 - 58*T1^13*T2^5 + 9*T1^14*T2^5 - 
      33*T1^15*T2^5 + 30*T2^6 + 9*T1*T2^6 + 48*T1^2*T2^6 + 9*T1^3*T2^6 + 
      147*T1^4*T2^6 - 38*T1^5*T2^6 + 181*T1^6*T2^6 - 172*T1^7*T2^6 + 
      165*T1^8*T2^6 - 172*T1^9*T2^6 + 181*T1^10*T2^6 - 38*T1^11*T2^6 + 
      147*T1^12*T2^6 + 9*T1^13*T2^6 + 48*T1^14*T2^6 + 9*T1^15*T2^6 + 
      30*T1^16*T2^6 - 24*T2^7 - 18*T1*T2^7 - 58*T1^2*T2^7 + 9*T1^3*T2^7 - 
      179*T1^4*T2^7 + 24*T1^5*T2^7 - 172*T1^6*T2^7 + 62*T1^7*T2^7 - 
      18*T1^8*T2^7 - 18*T1^9*T2^7 + 62*T1^10*T2^7 - 172*T1^11*T2^7 + 
      24*T1^12*T2^7 - 179*T1^13*T2^7 + 9*T1^14*T2^7 - 58*T1^15*T2^7 - 
      18*T1^16*T2^7 - 24*T1^17*T2^7 + 18*T2^8 + 18*T1*T2^8 + 61*T1^2*T2^8 + 
      3*T1^3*T2^8 + 147*T1^4*T2^8 + 24*T1^5*T2^8 + 165*T1^6*T2^8 - 
      18*T1^7*T2^8 + 53*T1^8*T2^8 - 75*T1^9*T2^8 + 53*T1^10*T2^8 - 
      18*T1^11*T2^8 + 165*T1^12*T2^8 + 24*T1^13*T2^8 + 147*T1^14*T2^8 + 
      3*T1^15*T2^8 + 61*T1^16*T2^8 + 18*T1^17*T2^8 + 18*T1^18*T2^8 - 9*T2^9 - 
      27*T1*T2^9 - 31*T1^2*T2^9 - 42*T1^3*T2^9 - 106*T1^4*T2^9 - 
      38*T1^5*T2^9 - 172*T1^6*T2^9 - 18*T1^7*T2^9 - 75*T1^8*T2^9 + 
      48*T1^9*T2^9 + 48*T1^10*T2^9 - 75*T1^11*T2^9 - 18*T1^12*T2^9 - 
      172*T1^13*T2^9 - 38*T1^14*T2^9 - 106*T1^15*T2^9 - 42*T1^16*T2^9 - 
      31*T1^17*T2^9 - 27*T1^18*T2^9 - 9*T1^19*T2^9 + 3*T2^10 + 18*T1*T2^10 + 
      44*T1^2*T2^10 - 6*T1^3*T2^10 + 153*T1^4*T2^10 - 14*T1^5*T2^10 + 
      181*T1^6*T2^10 + 62*T1^7*T2^10 + 53*T1^8*T2^10 + 48*T1^9*T2^10 - 
      120*T1^10*T2^10 + 48*T1^11*T2^10 + 53*T1^12*T2^10 + 62*T1^13*T2^10 + 
      181*T1^14*T2^10 - 14*T1^15*T2^10 + 153*T1^16*T2^10 - 6*T1^17*T2^10 + 
      44*T1^18*T2^10 + 18*T1^19*T2^10 + 3*T1^20*T2^10 - 9*T1*T2^11 - 
      27*T1^2*T2^11 - 31*T1^3*T2^11 - 42*T1^4*T2^11 - 106*T1^5*T2^11 - 
      38*T1^6*T2^11 - 172*T1^7*T2^11 - 18*T1^8*T2^11 - 75*T1^9*T2^11 + 
      48*T1^10*T2^11 + 48*T1^11*T2^11 - 75*T1^12*T2^11 - 18*T1^13*T2^11 - 
      172*T1^14*T2^11 - 38*T1^15*T2^11 - 106*T1^16*T2^11 - 42*T1^17*T2^11 - 
      31*T1^18*T2^11 - 27*T1^19*T2^11 - 9*T1^20*T2^11 + 18*T1^2*T2^12 + 
      18*T1^3*T2^12 + 61*T1^4*T2^12 + 3*T1^5*T2^12 + 147*T1^6*T2^12 + 
      24*T1^7*T2^12 + 165*T1^8*T2^12 - 18*T1^9*T2^12 + 53*T1^10*T2^12 - 
      75*T1^11*T2^12 + 53*T1^12*T2^12 - 18*T1^13*T2^12 + 165*T1^14*T2^12 + 
      24*T1^15*T2^12 + 147*T1^16*T2^12 + 3*T1^17*T2^12 + 61*T1^18*T2^12 + 
      18*T1^19*T2^12 + 18*T1^20*T2^12 - 24*T1^3*T2^13 - 18*T1^4*T2^13 - 
      58*T1^5*T2^13 + 9*T1^6*T2^13 - 179*T1^7*T2^13 + 24*T1^8*T2^13 - 
      172*T1^9*T2^13 + 62*T1^10*T2^13 - 18*T1^11*T2^13 - 18*T1^12*T2^13 + 
      62*T1^13*T2^13 - 172*T1^14*T2^13 + 24*T1^15*T2^13 - 179*T1^16*T2^13 + 
      9*T1^17*T2^13 - 58*T1^18*T2^13 - 18*T1^19*T2^13 - 24*T1^20*T2^13 + 
      30*T1^4*T2^14 + 9*T1^5*T2^14 + 48*T1^6*T2^14 + 9*T1^7*T2^14 + 
      147*T1^8*T2^14 - 38*T1^9*T2^14 + 181*T1^10*T2^14 - 172*T1^11*T2^14 + 
      165*T1^12*T2^14 - 172*T1^13*T2^14 + 181*T1^14*T2^14 - 38*T1^15*T2^14 + 
      147*T1^16*T2^14 + 9*T1^17*T2^14 + 48*T1^18*T2^14 + 9*T1^19*T2^14 + 
      30*T1^20*T2^14 - 33*T1^5*T2^15 + 9*T1^6*T2^15 - 58*T1^7*T2^15 + 
      3*T1^8*T2^15 - 106*T1^9*T2^15 - 14*T1^10*T2^15 - 38*T1^11*T2^15 + 
      24*T1^12*T2^15 + 24*T1^13*T2^15 - 38*T1^14*T2^15 - 14*T1^15*T2^15 - 
      106*T1^16*T2^15 + 3*T1^17*T2^15 - 58*T1^18*T2^15 + 9*T1^19*T2^15 - 
      33*T1^20*T2^15 + 30*T1^6*T2^16 - 18*T1^7*T2^16 + 61*T1^8*T2^16 - 
      42*T1^9*T2^16 + 153*T1^10*T2^16 - 106*T1^11*T2^16 + 147*T1^12*T2^16 - 
      179*T1^13*T2^16 + 147*T1^14*T2^16 - 106*T1^15*T2^16 + 153*T1^16*T2^16 - 
      42*T1^17*T2^16 + 61*T1^18*T2^16 - 18*T1^19*T2^16 + 30*T1^20*T2^16 - 
      24*T1^7*T2^17 + 18*T1^8*T2^17 - 31*T1^9*T2^17 - 6*T1^10*T2^17 - 
      42*T1^11*T2^17 + 3*T1^12*T2^17 + 9*T1^13*T2^17 + 9*T1^14*T2^17 + 
      3*T1^15*T2^17 - 42*T1^16*T2^17 - 6*T1^17*T2^17 - 31*T1^18*T2^17 + 
      18*T1^19*T2^17 - 24*T1^20*T2^17 + 18*T1^8*T2^18 - 27*T1^9*T2^18 + 
      44*T1^10*T2^18 - 31*T1^11*T2^18 + 61*T1^12*T2^18 - 58*T1^13*T2^18 + 
      48*T1^14*T2^18 - 58*T1^15*T2^18 + 61*T1^16*T2^18 - 31*T1^17*T2^18 + 
      44*T1^18*T2^18 - 27*T1^19*T2^18 + 18*T1^20*T2^18 - 9*T1^9*T2^19 + 
      18*T1^10*T2^19 - 27*T1^11*T2^19 + 18*T1^12*T2^19 - 18*T1^13*T2^19 + 
      9*T1^14*T2^19 + 9*T1^15*T2^19 - 18*T1^16*T2^19 + 18*T1^17*T2^19 - 
      27*T1^18*T2^19 + 18*T1^19*T2^19 - 9*T1^20*T2^19 + 3*T1^10*T2^20 - 
      9*T1^11*T2^20 + 18*T1^12*T2^20 - 24*T1^13*T2^20 + 30*T1^14*T2^20 - 
      33*T1^15*T2^20 + 30*T1^16*T2^20 - 24*T1^17*T2^20 + 18*T1^18*T2^20 - 
      9*T1^19*T2^20 + 3*T1^20*T2^20)/(T1^10*T2^10))}, 
 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, -((17 - 59*T1 + 126*T1^2 - 176*T1^3 + 193*T1^4 - 176*T1^5 + 
      126*T1^6 - 59*T1^7 + 17*T1^8 - 59*T2 + 146*T1*T2 - 233*T1^2*T2 + 
      174*T1^3*T2 - 59*T1^4*T2 - 59*T1^5*T2 + 174*T1^6*T2 - 233*T1^7*T2 + 
      146*T1^8*T2 - 59*T1^9*T2 + 126*T2^2 - 233*T1*T2^2 + 341*T1^2*T2^2 - 
      182*T1^3*T2^2 + 152*T1^4*T2^2 - 173*T1^5*T2^2 + 152*T1^6*T2^2 - 
      182*T1^7*T2^2 + 341*T1^8*T2^2 - 233*T1^9*T2^2 + 126*T1^10*T2^2 - 
      176*T2^3 + 174*T1*T2^3 - 182*T1^2*T2^3 - 194*T1^3*T2^3 + 64*T1^4*T2^3 + 
      14*T1^5*T2^3 + 14*T1^6*T2^3 + 64*T1^7*T2^3 - 194*T1^8*T2^3 - 
      182*T1^9*T2^3 + 174*T1^10*T2^3 - 176*T1^11*T2^3 + 193*T2^4 - 
      59*T1*T2^4 + 152*T1^2*T2^4 + 64*T1^3*T2^4 + 648*T1^4*T2^4 - 
      809*T1^5*T2^4 + 778*T1^6*T2^4 - 809*T1^7*T2^4 + 648*T1^8*T2^4 + 
      64*T1^9*T2^4 + 152*T1^10*T2^4 - 59*T1^11*T2^4 + 193*T1^12*T2^4 - 
      176*T2^5 - 59*T1*T2^5 - 173*T1^2*T2^5 + 14*T1^3*T2^5 - 809*T1^4*T2^5 + 
      378*T1^5*T2^5 - 74*T1^6*T2^5 - 74*T1^7*T2^5 + 378*T1^8*T2^5 - 
      809*T1^9*T2^5 + 14*T1^10*T2^5 - 173*T1^11*T2^5 - 59*T1^12*T2^5 - 
      176*T1^13*T2^5 + 126*T2^6 + 174*T1*T2^6 + 152*T1^2*T2^6 + 
      14*T1^3*T2^6 + 778*T1^4*T2^6 - 74*T1^5*T2^6 + 62*T1^6*T2^6 - 
      98*T1^7*T2^6 + 62*T1^8*T2^6 - 74*T1^9*T2^6 + 778*T1^10*T2^6 + 
      14*T1^11*T2^6 + 152*T1^12*T2^6 + 174*T1^13*T2^6 + 126*T1^14*T2^6 - 
      59*T2^7 - 233*T1*T2^7 - 182*T1^2*T2^7 + 64*T1^3*T2^7 - 809*T1^4*T2^7 - 
      74*T1^5*T2^7 - 98*T1^6*T2^7 + 22*T1^7*T2^7 + 22*T1^8*T2^7 - 
      98*T1^9*T2^7 - 74*T1^10*T2^7 - 809*T1^11*T2^7 + 64*T1^12*T2^7 - 
      182*T1^13*T2^7 - 233*T1^14*T2^7 - 59*T1^15*T2^7 + 17*T2^8 + 
      146*T1*T2^8 + 341*T1^2*T2^8 - 194*T1^3*T2^8 + 648*T1^4*T2^8 + 
      378*T1^5*T2^8 + 62*T1^6*T2^8 + 22*T1^7*T2^8 + 24*T1^8*T2^8 + 
      22*T1^9*T2^8 + 62*T1^10*T2^8 + 378*T1^11*T2^8 + 648*T1^12*T2^8 - 
      194*T1^13*T2^8 + 341*T1^14*T2^8 + 146*T1^15*T2^8 + 17*T1^16*T2^8 - 
      59*T1*T2^9 - 233*T1^2*T2^9 - 182*T1^3*T2^9 + 64*T1^4*T2^9 - 
      809*T1^5*T2^9 - 74*T1^6*T2^9 - 98*T1^7*T2^9 + 22*T1^8*T2^9 + 
      22*T1^9*T2^9 - 98*T1^10*T2^9 - 74*T1^11*T2^9 - 809*T1^12*T2^9 + 
      64*T1^13*T2^9 - 182*T1^14*T2^9 - 233*T1^15*T2^9 - 59*T1^16*T2^9 + 
      126*T1^2*T2^10 + 174*T1^3*T2^10 + 152*T1^4*T2^10 + 14*T1^5*T2^10 + 
      778*T1^6*T2^10 - 74*T1^7*T2^10 + 62*T1^8*T2^10 - 98*T1^9*T2^10 + 
      62*T1^10*T2^10 - 74*T1^11*T2^10 + 778*T1^12*T2^10 + 14*T1^13*T2^10 + 
      152*T1^14*T2^10 + 174*T1^15*T2^10 + 126*T1^16*T2^10 - 176*T1^3*T2^11 - 
      59*T1^4*T2^11 - 173*T1^5*T2^11 + 14*T1^6*T2^11 - 809*T1^7*T2^11 + 
      378*T1^8*T2^11 - 74*T1^9*T2^11 - 74*T1^10*T2^11 + 378*T1^11*T2^11 - 
      809*T1^12*T2^11 + 14*T1^13*T2^11 - 173*T1^14*T2^11 - 59*T1^15*T2^11 - 
      176*T1^16*T2^11 + 193*T1^4*T2^12 - 59*T1^5*T2^12 + 152*T1^6*T2^12 + 
      64*T1^7*T2^12 + 648*T1^8*T2^12 - 809*T1^9*T2^12 + 778*T1^10*T2^12 - 
      809*T1^11*T2^12 + 648*T1^12*T2^12 + 64*T1^13*T2^12 + 152*T1^14*T2^12 - 
      59*T1^15*T2^12 + 193*T1^16*T2^12 - 176*T1^5*T2^13 + 174*T1^6*T2^13 - 
      182*T1^7*T2^13 - 194*T1^8*T2^13 + 64*T1^9*T2^13 + 14*T1^10*T2^13 + 
      14*T1^11*T2^13 + 64*T1^12*T2^13 - 194*T1^13*T2^13 - 182*T1^14*T2^13 + 
      174*T1^15*T2^13 - 176*T1^16*T2^13 + 126*T1^6*T2^14 - 233*T1^7*T2^14 + 
      341*T1^8*T2^14 - 182*T1^9*T2^14 + 152*T1^10*T2^14 - 173*T1^11*T2^14 + 
      152*T1^12*T2^14 - 182*T1^13*T2^14 + 341*T1^14*T2^14 - 233*T1^15*T2^14 + 
      126*T1^16*T2^14 - 59*T1^7*T2^15 + 146*T1^8*T2^15 - 233*T1^9*T2^15 + 
      174*T1^10*T2^15 - 59*T1^11*T2^15 - 59*T1^12*T2^15 + 174*T1^13*T2^15 - 
      233*T1^14*T2^15 + 146*T1^15*T2^15 - 59*T1^16*T2^15 + 17*T1^8*T2^16 - 
      59*T1^9*T2^16 + 126*T1^10*T2^16 - 176*T1^11*T2^16 + 193*T1^12*T2^16 - 
      176*T1^13*T2^16 + 126*T1^14*T2^16 - 59*T1^15*T2^16 + 17*T1^16*T2^16)/
     (T1^8*T2^8))}, 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, -((17 - 59*T1 + 118*T1^2 - 143*T1^3 + 143*T1^4 - 143*T1^5 + 
      118*T1^6 - 59*T1^7 + 17*T1^8 - 59*T2 + 146*T1*T2 - 205*T1^2*T2 + 
      87*T1^3*T2 + 87*T1^6*T2 - 205*T1^7*T2 + 146*T1^8*T2 - 59*T1^9*T2 + 
      118*T2^2 - 205*T1*T2^2 + 223*T1^2*T2^2 + 42*T1^3*T2^2 + 34*T1^4*T2^2 - 
      195*T1^5*T2^2 + 34*T1^6*T2^2 + 42*T1^7*T2^2 + 223*T1^8*T2^2 - 
      205*T1^9*T2^2 + 118*T1^10*T2^2 - 143*T2^3 + 87*T1*T2^3 + 42*T1^2*T2^3 - 
      432*T1^3*T2^3 + 2*T1^4*T2^3 + 167*T1^5*T2^3 + 167*T1^6*T2^3 + 
      2*T1^7*T2^3 - 432*T1^8*T2^3 + 42*T1^9*T2^3 + 87*T1^10*T2^3 - 
      143*T1^11*T2^3 + 143*T2^4 + 34*T1^2*T2^4 + 2*T1^3*T2^4 + 
      994*T1^4*T2^4 - 930*T1^5*T2^4 + 500*T1^6*T2^4 - 930*T1^7*T2^4 + 
      994*T1^8*T2^4 + 2*T1^9*T2^4 + 34*T1^10*T2^4 + 143*T1^12*T2^4 - 
      143*T2^5 - 195*T1^2*T2^5 + 167*T1^3*T2^5 - 930*T1^4*T2^5 + 
      162*T1^5*T2^5 + 240*T1^6*T2^5 + 240*T1^7*T2^5 + 162*T1^8*T2^5 - 
      930*T1^9*T2^5 + 167*T1^10*T2^5 - 195*T1^11*T2^5 - 143*T1^13*T2^5 + 
      118*T2^6 + 87*T1*T2^6 + 34*T1^2*T2^6 + 167*T1^3*T2^6 + 500*T1^4*T2^6 + 
      240*T1^5*T2^6 - 131*T1^6*T2^6 - 335*T1^7*T2^6 - 131*T1^8*T2^6 + 
      240*T1^9*T2^6 + 500*T1^10*T2^6 + 167*T1^11*T2^6 + 34*T1^12*T2^6 + 
      87*T1^13*T2^6 + 118*T1^14*T2^6 - 59*T2^7 - 205*T1*T2^7 + 42*T1^2*T2^7 + 
      2*T1^3*T2^7 - 930*T1^4*T2^7 + 240*T1^5*T2^7 - 335*T1^6*T2^7 + 
      312*T1^7*T2^7 + 312*T1^8*T2^7 - 335*T1^9*T2^7 + 240*T1^10*T2^7 - 
      930*T1^11*T2^7 + 2*T1^12*T2^7 + 42*T1^13*T2^7 - 205*T1^14*T2^7 - 
      59*T1^15*T2^7 + 17*T2^8 + 146*T1*T2^8 + 223*T1^2*T2^8 - 432*T1^3*T2^8 + 
      994*T1^4*T2^8 + 162*T1^5*T2^8 - 131*T1^6*T2^8 + 312*T1^7*T2^8 - 
      660*T1^8*T2^8 + 312*T1^9*T2^8 - 131*T1^10*T2^8 + 162*T1^11*T2^8 + 
      994*T1^12*T2^8 - 432*T1^13*T2^8 + 223*T1^14*T2^8 + 146*T1^15*T2^8 + 
      17*T1^16*T2^8 - 59*T1*T2^9 - 205*T1^2*T2^9 + 42*T1^3*T2^9 + 
      2*T1^4*T2^9 - 930*T1^5*T2^9 + 240*T1^6*T2^9 - 335*T1^7*T2^9 + 
      312*T1^8*T2^9 + 312*T1^9*T2^9 - 335*T1^10*T2^9 + 240*T1^11*T2^9 - 
      930*T1^12*T2^9 + 2*T1^13*T2^9 + 42*T1^14*T2^9 - 205*T1^15*T2^9 - 
      59*T1^16*T2^9 + 118*T1^2*T2^10 + 87*T1^3*T2^10 + 34*T1^4*T2^10 + 
      167*T1^5*T2^10 + 500*T1^6*T2^10 + 240*T1^7*T2^10 - 131*T1^8*T2^10 - 
      335*T1^9*T2^10 - 131*T1^10*T2^10 + 240*T1^11*T2^10 + 500*T1^12*T2^10 + 
      167*T1^13*T2^10 + 34*T1^14*T2^10 + 87*T1^15*T2^10 + 118*T1^16*T2^10 - 
      143*T1^3*T2^11 - 195*T1^5*T2^11 + 167*T1^6*T2^11 - 930*T1^7*T2^11 + 
      162*T1^8*T2^11 + 240*T1^9*T2^11 + 240*T1^10*T2^11 + 162*T1^11*T2^11 - 
      930*T1^12*T2^11 + 167*T1^13*T2^11 - 195*T1^14*T2^11 - 143*T1^16*T2^11 + 
      143*T1^4*T2^12 + 34*T1^6*T2^12 + 2*T1^7*T2^12 + 994*T1^8*T2^12 - 
      930*T1^9*T2^12 + 500*T1^10*T2^12 - 930*T1^11*T2^12 + 994*T1^12*T2^12 + 
      2*T1^13*T2^12 + 34*T1^14*T2^12 + 143*T1^16*T2^12 - 143*T1^5*T2^13 + 
      87*T1^6*T2^13 + 42*T1^7*T2^13 - 432*T1^8*T2^13 + 2*T1^9*T2^13 + 
      167*T1^10*T2^13 + 167*T1^11*T2^13 + 2*T1^12*T2^13 - 432*T1^13*T2^13 + 
      42*T1^14*T2^13 + 87*T1^15*T2^13 - 143*T1^16*T2^13 + 118*T1^6*T2^14 - 
      205*T1^7*T2^14 + 223*T1^8*T2^14 + 42*T1^9*T2^14 + 34*T1^10*T2^14 - 
      195*T1^11*T2^14 + 34*T1^12*T2^14 + 42*T1^13*T2^14 + 223*T1^14*T2^14 - 
      205*T1^15*T2^14 + 118*T1^16*T2^14 - 59*T1^7*T2^15 + 146*T1^8*T2^15 - 
      205*T1^9*T2^15 + 87*T1^10*T2^15 + 87*T1^13*T2^15 - 205*T1^14*T2^15 + 
      146*T1^15*T2^15 - 59*T1^16*T2^15 + 17*T1^8*T2^16 - 59*T1^9*T2^16 + 
      118*T1^10*T2^16 - 143*T1^11*T2^16 + 143*T1^12*T2^16 - 143*T1^13*T2^16 + 
      118*T1^14*T2^16 - 59*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 372] -> 
  {(4 - 16*T + 35*T^2 - 45*T^3 + 35*T^4 - 16*T^5 + 4*T^6)/T^3, 
   -((80 - 312*T1 + 676*T1^2 - 864*T1^3 + 676*T1^4 - 312*T1^5 + 80*T1^6 - 
      312*T2 + 908*T1*T2 - 1426*T1^2*T2 + 738*T1^3*T2 + 738*T1^4*T2 - 
      1426*T1^5*T2 + 908*T1^6*T2 - 312*T1^7*T2 + 676*T2^2 - 1426*T1*T2^2 + 
      1620*T1^2*T2^2 + 505*T1^3*T2^2 - 2008*T1^4*T2^2 + 505*T1^5*T2^2 + 
      1620*T1^6*T2^2 - 1426*T1^7*T2^2 + 676*T1^8*T2^2 - 864*T2^3 + 
      738*T1*T2^3 + 505*T1^2*T2^3 - 4010*T1^3*T2^3 + 2656*T1^4*T2^3 + 
      2656*T1^5*T2^3 - 4010*T1^6*T2^3 + 505*T1^7*T2^3 + 738*T1^8*T2^3 - 
      864*T1^9*T2^3 + 676*T2^4 + 738*T1*T2^4 - 2008*T1^2*T2^4 + 
      2656*T1^3*T2^4 + 5406*T1^4*T2^4 - 11248*T1^5*T2^4 + 5406*T1^6*T2^4 + 
      2656*T1^7*T2^4 - 2008*T1^8*T2^4 + 738*T1^9*T2^4 + 676*T1^10*T2^4 - 
      312*T2^5 - 1426*T1*T2^5 + 505*T1^2*T2^5 + 2656*T1^3*T2^5 - 
      11248*T1^4*T2^5 + 7172*T1^5*T2^5 + 7172*T1^6*T2^5 - 11248*T1^7*T2^5 + 
      2656*T1^8*T2^5 + 505*T1^9*T2^5 - 1426*T1^10*T2^5 - 312*T1^11*T2^5 + 
      80*T2^6 + 908*T1*T2^6 + 1620*T1^2*T2^6 - 4010*T1^3*T2^6 + 
      5406*T1^4*T2^6 + 7172*T1^5*T2^6 - 16380*T1^6*T2^6 + 7172*T1^7*T2^6 + 
      5406*T1^8*T2^6 - 4010*T1^9*T2^6 + 1620*T1^10*T2^6 + 908*T1^11*T2^6 + 
      80*T1^12*T2^6 - 312*T1*T2^7 - 1426*T1^2*T2^7 + 505*T1^3*T2^7 + 
      2656*T1^4*T2^7 - 11248*T1^5*T2^7 + 7172*T1^6*T2^7 + 7172*T1^7*T2^7 - 
      11248*T1^8*T2^7 + 2656*T1^9*T2^7 + 505*T1^10*T2^7 - 1426*T1^11*T2^7 - 
      312*T1^12*T2^7 + 676*T1^2*T2^8 + 738*T1^3*T2^8 - 2008*T1^4*T2^8 + 
      2656*T1^5*T2^8 + 5406*T1^6*T2^8 - 11248*T1^7*T2^8 + 5406*T1^8*T2^8 + 
      2656*T1^9*T2^8 - 2008*T1^10*T2^8 + 738*T1^11*T2^8 + 676*T1^12*T2^8 - 
      864*T1^3*T2^9 + 738*T1^4*T2^9 + 505*T1^5*T2^9 - 4010*T1^6*T2^9 + 
      2656*T1^7*T2^9 + 2656*T1^8*T2^9 - 4010*T1^9*T2^9 + 505*T1^10*T2^9 + 
      738*T1^11*T2^9 - 864*T1^12*T2^9 + 676*T1^4*T2^10 - 1426*T1^5*T2^10 + 
      1620*T1^6*T2^10 + 505*T1^7*T2^10 - 2008*T1^8*T2^10 + 505*T1^9*T2^10 + 
      1620*T1^10*T2^10 - 1426*T1^11*T2^10 + 676*T1^12*T2^10 - 
      312*T1^5*T2^11 + 908*T1^6*T2^11 - 1426*T1^7*T2^11 + 738*T1^8*T2^11 + 
      738*T1^9*T2^11 - 1426*T1^10*T2^11 + 908*T1^11*T2^11 - 312*T1^12*T2^11 + 
      80*T1^6*T2^12 - 312*T1^7*T2^12 + 676*T1^8*T2^12 - 864*T1^9*T2^12 + 
      676*T1^10*T2^12 - 312*T1^11*T2^12 + 80*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), 
   -((3 - 21*T1 + 54*T1^2 - 90*T1^3 + 105*T1^4 - 90*T1^5 + 54*T1^6 - 
      21*T1^7 + 3*T1^8 - 21*T2 + 126*T1*T2 - 231*T1^2*T2 + 252*T1^3*T2 - 
      105*T1^4*T2 - 105*T1^5*T2 + 252*T1^6*T2 - 231*T1^7*T2 + 126*T1^8*T2 - 
      21*T1^9*T2 + 54*T2^2 - 231*T1*T2^2 + 18*T1^2*T2^2 + 587*T1^3*T2^2 - 
      1440*T1^4*T2^2 + 1778*T1^5*T2^2 - 1440*T1^6*T2^2 + 587*T1^7*T2^2 + 
      18*T1^8*T2^2 - 231*T1^9*T2^2 + 54*T1^10*T2^2 - 90*T2^3 + 252*T1*T2^3 + 
      587*T1^2*T2^3 - 1462*T1^3*T2^3 + 1921*T1^4*T2^3 - 779*T1^5*T2^3 - 
      779*T1^6*T2^3 + 1921*T1^7*T2^3 - 1462*T1^8*T2^3 + 587*T1^9*T2^3 + 
      252*T1^10*T2^3 - 90*T1^11*T2^3 + 105*T2^4 - 105*T1*T2^4 - 
      1440*T1^2*T2^4 + 1921*T1^3*T2^4 - 1710*T1^4*T2^4 - 191*T1^5*T2^4 + 
      722*T1^6*T2^4 - 191*T1^7*T2^4 - 1710*T1^8*T2^4 + 1921*T1^9*T2^4 - 
      1440*T1^10*T2^4 - 105*T1^11*T2^4 + 105*T1^12*T2^4 - 90*T2^5 - 
      105*T1*T2^5 + 1778*T1^2*T2^5 - 779*T1^3*T2^5 - 191*T1^4*T2^5 + 
      2092*T1^5*T2^5 - 692*T1^6*T2^5 - 692*T1^7*T2^5 + 2092*T1^8*T2^5 - 
      191*T1^9*T2^5 - 779*T1^10*T2^5 + 1778*T1^11*T2^5 - 105*T1^12*T2^5 - 
      90*T1^13*T2^5 + 54*T2^6 + 252*T1*T2^6 - 1440*T1^2*T2^6 - 
      779*T1^3*T2^6 + 722*T1^4*T2^6 - 692*T1^5*T2^6 - 3027*T1^6*T2^6 + 
      3635*T1^7*T2^6 - 3027*T1^8*T2^6 - 692*T1^9*T2^6 + 722*T1^10*T2^6 - 
      779*T1^11*T2^6 - 1440*T1^12*T2^6 + 252*T1^13*T2^6 + 54*T1^14*T2^6 - 
      21*T2^7 - 231*T1*T2^7 + 587*T1^2*T2^7 + 1921*T1^3*T2^7 - 
      191*T1^4*T2^7 - 692*T1^5*T2^7 + 3635*T1^6*T2^7 - 1052*T1^7*T2^7 - 
      1052*T1^8*T2^7 + 3635*T1^9*T2^7 - 692*T1^10*T2^7 - 191*T1^11*T2^7 + 
      1921*T1^12*T2^7 + 587*T1^13*T2^7 - 231*T1^14*T2^7 - 21*T1^15*T2^7 + 
      3*T2^8 + 126*T1*T2^8 + 18*T1^2*T2^8 - 1462*T1^3*T2^8 - 1710*T1^4*T2^8 + 
      2092*T1^5*T2^8 - 3027*T1^6*T2^8 - 1052*T1^7*T2^8 + 1452*T1^8*T2^8 - 
      1052*T1^9*T2^8 - 3027*T1^10*T2^8 + 2092*T1^11*T2^8 - 1710*T1^12*T2^8 - 
      1462*T1^13*T2^8 + 18*T1^14*T2^8 + 126*T1^15*T2^8 + 3*T1^16*T2^8 - 
      21*T1*T2^9 - 231*T1^2*T2^9 + 587*T1^3*T2^9 + 1921*T1^4*T2^9 - 
      191*T1^5*T2^9 - 692*T1^6*T2^9 + 3635*T1^7*T2^9 - 1052*T1^8*T2^9 - 
      1052*T1^9*T2^9 + 3635*T1^10*T2^9 - 692*T1^11*T2^9 - 191*T1^12*T2^9 + 
      1921*T1^13*T2^9 + 587*T1^14*T2^9 - 231*T1^15*T2^9 - 21*T1^16*T2^9 + 
      54*T1^2*T2^10 + 252*T1^3*T2^10 - 1440*T1^4*T2^10 - 779*T1^5*T2^10 + 
      722*T1^6*T2^10 - 692*T1^7*T2^10 - 3027*T1^8*T2^10 + 3635*T1^9*T2^10 - 
      3027*T1^10*T2^10 - 692*T1^11*T2^10 + 722*T1^12*T2^10 - 
      779*T1^13*T2^10 - 1440*T1^14*T2^10 + 252*T1^15*T2^10 + 54*T1^16*T2^10 - 
      90*T1^3*T2^11 - 105*T1^4*T2^11 + 1778*T1^5*T2^11 - 779*T1^6*T2^11 - 
      191*T1^7*T2^11 + 2092*T1^8*T2^11 - 692*T1^9*T2^11 - 692*T1^10*T2^11 + 
      2092*T1^11*T2^11 - 191*T1^12*T2^11 - 779*T1^13*T2^11 + 
      1778*T1^14*T2^11 - 105*T1^15*T2^11 - 90*T1^16*T2^11 + 105*T1^4*T2^12 - 
      105*T1^5*T2^12 - 1440*T1^6*T2^12 + 1921*T1^7*T2^12 - 1710*T1^8*T2^12 - 
      191*T1^9*T2^12 + 722*T1^10*T2^12 - 191*T1^11*T2^12 - 1710*T1^12*T2^12 + 
      1921*T1^13*T2^12 - 1440*T1^14*T2^12 - 105*T1^15*T2^12 + 
      105*T1^16*T2^12 - 90*T1^5*T2^13 + 252*T1^6*T2^13 + 587*T1^7*T2^13 - 
      1462*T1^8*T2^13 + 1921*T1^9*T2^13 - 779*T1^10*T2^13 - 779*T1^11*T2^13 + 
      1921*T1^12*T2^13 - 1462*T1^13*T2^13 + 587*T1^14*T2^13 + 
      252*T1^15*T2^13 - 90*T1^16*T2^13 + 54*T1^6*T2^14 - 231*T1^7*T2^14 + 
      18*T1^8*T2^14 + 587*T1^9*T2^14 - 1440*T1^10*T2^14 + 1778*T1^11*T2^14 - 
      1440*T1^12*T2^14 + 587*T1^13*T2^14 + 18*T1^14*T2^14 - 231*T1^15*T2^14 + 
      54*T1^16*T2^14 - 21*T1^7*T2^15 + 126*T1^8*T2^15 - 231*T1^9*T2^15 + 
      252*T1^10*T2^15 - 105*T1^11*T2^15 - 105*T1^12*T2^15 + 252*T1^13*T2^15 - 
      231*T1^14*T2^15 + 126*T1^15*T2^15 - 21*T1^16*T2^15 + 3*T1^8*T2^16 - 
      21*T1^9*T2^16 + 54*T1^10*T2^16 - 90*T1^11*T2^16 + 105*T1^12*T2^16 - 
      90*T1^13*T2^16 + 54*T1^14*T2^16 - 21*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 374] -> 
  {((1 - T + T^2)^2*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^4, 
   (1 - 9*T1 + 22*T1^2 - 31*T1^3 + 22*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
     56*T1*T2 - 95*T1^2*T2 + 59*T1^3*T2 + 59*T1^4*T2 - 95*T1^5*T2 + 
     56*T1^6*T2 - 9*T1^7*T2 + 22*T2^2 - 95*T1*T2^2 - 10*T1^2*T2^2 + 
     378*T1^3*T2^2 - 658*T1^4*T2^2 + 378*T1^5*T2^2 - 10*T1^6*T2^2 - 
     95*T1^7*T2^2 + 22*T1^8*T2^2 - 31*T2^3 + 59*T1*T2^3 + 378*T1^2*T2^3 - 
     968*T1^3*T2^3 + 617*T1^4*T2^3 + 617*T1^5*T2^3 - 968*T1^6*T2^3 + 
     378*T1^7*T2^3 + 59*T1^8*T2^3 - 31*T1^9*T2^3 + 22*T2^4 + 59*T1*T2^4 - 
     658*T1^2*T2^4 + 617*T1^3*T2^4 + 1146*T1^4*T2^4 - 2456*T1^5*T2^4 + 
     1146*T1^6*T2^4 + 617*T1^7*T2^4 - 658*T1^8*T2^4 + 59*T1^9*T2^4 + 
     22*T1^10*T2^4 - 9*T2^5 - 95*T1*T2^5 + 378*T1^2*T2^5 + 617*T1^3*T2^5 - 
     2456*T1^4*T2^5 + 1562*T1^5*T2^5 + 1562*T1^6*T2^5 - 2456*T1^7*T2^5 + 
     617*T1^8*T2^5 + 378*T1^9*T2^5 - 95*T1^10*T2^5 - 9*T1^11*T2^5 + T2^6 + 
     56*T1*T2^6 - 10*T1^2*T2^6 - 968*T1^3*T2^6 + 1146*T1^4*T2^6 + 
     1562*T1^5*T2^6 - 3516*T1^6*T2^6 + 1562*T1^7*T2^6 + 1146*T1^8*T2^6 - 
     968*T1^9*T2^6 - 10*T1^10*T2^6 + 56*T1^11*T2^6 + T1^12*T2^6 - 9*T1*T2^7 - 
     95*T1^2*T2^7 + 378*T1^3*T2^7 + 617*T1^4*T2^7 - 2456*T1^5*T2^7 + 
     1562*T1^6*T2^7 + 1562*T1^7*T2^7 - 2456*T1^8*T2^7 + 617*T1^9*T2^7 + 
     378*T1^10*T2^7 - 95*T1^11*T2^7 - 9*T1^12*T2^7 + 22*T1^2*T2^8 + 
     59*T1^3*T2^8 - 658*T1^4*T2^8 + 617*T1^5*T2^8 + 1146*T1^6*T2^8 - 
     2456*T1^7*T2^8 + 1146*T1^8*T2^8 + 617*T1^9*T2^8 - 658*T1^10*T2^8 + 
     59*T1^11*T2^8 + 22*T1^12*T2^8 - 31*T1^3*T2^9 + 59*T1^4*T2^9 + 
     378*T1^5*T2^9 - 968*T1^6*T2^9 + 617*T1^7*T2^9 + 617*T1^8*T2^9 - 
     968*T1^9*T2^9 + 378*T1^10*T2^9 + 59*T1^11*T2^9 - 31*T1^12*T2^9 + 
     22*T1^4*T2^10 - 95*T1^5*T2^10 - 10*T1^6*T2^10 + 378*T1^7*T2^10 - 
     658*T1^8*T2^10 + 378*T1^9*T2^10 - 10*T1^10*T2^10 - 95*T1^11*T2^10 + 
     22*T1^12*T2^10 - 9*T1^5*T2^11 + 56*T1^6*T2^11 - 95*T1^7*T2^11 + 
     59*T1^8*T2^11 + 59*T1^9*T2^11 - 95*T1^10*T2^11 + 56*T1^11*T2^11 - 
     9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 22*T1^8*T2^12 - 
     31*T1^9*T2^12 + 22*T1^10*T2^12 - 9*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 375] -> 
  {((1 - T + T^2)^2*(2 - 3*T + 3*T^2 - 3*T^3 + 2*T^4))/T^4, 
   -((17 - 59*T1 + 126*T1^2 - 184*T1^3 + 209*T1^4 - 184*T1^5 + 126*T1^6 - 
      59*T1^7 + 17*T1^8 - 59*T2 + 146*T1*T2 - 233*T1^2*T2 + 202*T1^3*T2 - 
      87*T1^4*T2 - 87*T1^5*T2 + 202*T1^6*T2 - 233*T1^7*T2 + 146*T1^8*T2 - 
      59*T1^9*T2 + 126*T2^2 - 233*T1*T2^2 + 341*T1^2*T2^2 - 246*T1^3*T2^2 + 
      190*T1^4*T2^2 - 121*T1^5*T2^2 + 190*T1^6*T2^2 - 246*T1^7*T2^2 + 
      341*T1^8*T2^2 - 233*T1^9*T2^2 + 126*T1^10*T2^2 - 184*T2^3 + 
      202*T1*T2^3 - 246*T1^2*T2^3 - 20*T1^3*T2^3 + 4*T1^4*T2^3 - 
      62*T1^5*T2^3 - 62*T1^6*T2^3 + 4*T1^7*T2^3 - 20*T1^8*T2^3 - 
      246*T1^9*T2^3 + 202*T1^10*T2^3 - 184*T1^11*T2^3 + 209*T2^4 - 
      87*T1*T2^4 + 190*T1^2*T2^4 + 4*T1^3*T2^4 + 459*T1^4*T2^4 - 
      569*T1^5*T2^4 + 813*T1^6*T2^4 - 569*T1^7*T2^4 + 459*T1^8*T2^4 + 
      4*T1^9*T2^4 + 190*T1^10*T2^4 - 87*T1^11*T2^4 + 209*T1^12*T2^4 - 
      184*T2^5 - 87*T1*T2^5 - 121*T1^2*T2^5 - 62*T1^3*T2^5 - 569*T1^4*T2^5 + 
      302*T1^5*T2^5 - 280*T1^6*T2^5 - 280*T1^7*T2^5 + 302*T1^8*T2^5 - 
      569*T1^9*T2^5 - 62*T1^10*T2^5 - 121*T1^11*T2^5 - 87*T1^12*T2^5 - 
      184*T1^13*T2^5 + 126*T2^6 + 202*T1*T2^6 + 190*T1^2*T2^6 - 
      62*T1^3*T2^6 + 813*T1^4*T2^6 - 280*T1^5*T2^6 + 414*T1^6*T2^6 - 
      36*T1^7*T2^6 + 414*T1^8*T2^6 - 280*T1^9*T2^6 + 813*T1^10*T2^6 - 
      62*T1^11*T2^6 + 190*T1^12*T2^6 + 202*T1^13*T2^6 + 126*T1^14*T2^6 - 
      59*T2^7 - 233*T1*T2^7 - 246*T1^2*T2^7 + 4*T1^3*T2^7 - 569*T1^4*T2^7 - 
      280*T1^5*T2^7 - 36*T1^6*T2^7 - 246*T1^7*T2^7 - 246*T1^8*T2^7 - 
      36*T1^9*T2^7 - 280*T1^10*T2^7 - 569*T1^11*T2^7 + 4*T1^12*T2^7 - 
      246*T1^13*T2^7 - 233*T1^14*T2^7 - 59*T1^15*T2^7 + 17*T2^8 + 
      146*T1*T2^8 + 341*T1^2*T2^8 - 20*T1^3*T2^8 + 459*T1^4*T2^8 + 
      302*T1^5*T2^8 + 414*T1^6*T2^8 - 246*T1^7*T2^8 + 708*T1^8*T2^8 - 
      246*T1^9*T2^8 + 414*T1^10*T2^8 + 302*T1^11*T2^8 + 459*T1^12*T2^8 - 
      20*T1^13*T2^8 + 341*T1^14*T2^8 + 146*T1^15*T2^8 + 17*T1^16*T2^8 - 
      59*T1*T2^9 - 233*T1^2*T2^9 - 246*T1^3*T2^9 + 4*T1^4*T2^9 - 
      569*T1^5*T2^9 - 280*T1^6*T2^9 - 36*T1^7*T2^9 - 246*T1^8*T2^9 - 
      246*T1^9*T2^9 - 36*T1^10*T2^9 - 280*T1^11*T2^9 - 569*T1^12*T2^9 + 
      4*T1^13*T2^9 - 246*T1^14*T2^9 - 233*T1^15*T2^9 - 59*T1^16*T2^9 + 
      126*T1^2*T2^10 + 202*T1^3*T2^10 + 190*T1^4*T2^10 - 62*T1^5*T2^10 + 
      813*T1^6*T2^10 - 280*T1^7*T2^10 + 414*T1^8*T2^10 - 36*T1^9*T2^10 + 
      414*T1^10*T2^10 - 280*T1^11*T2^10 + 813*T1^12*T2^10 - 62*T1^13*T2^10 + 
      190*T1^14*T2^10 + 202*T1^15*T2^10 + 126*T1^16*T2^10 - 184*T1^3*T2^11 - 
      87*T1^4*T2^11 - 121*T1^5*T2^11 - 62*T1^6*T2^11 - 569*T1^7*T2^11 + 
      302*T1^8*T2^11 - 280*T1^9*T2^11 - 280*T1^10*T2^11 + 302*T1^11*T2^11 - 
      569*T1^12*T2^11 - 62*T1^13*T2^11 - 121*T1^14*T2^11 - 87*T1^15*T2^11 - 
      184*T1^16*T2^11 + 209*T1^4*T2^12 - 87*T1^5*T2^12 + 190*T1^6*T2^12 + 
      4*T1^7*T2^12 + 459*T1^8*T2^12 - 569*T1^9*T2^12 + 813*T1^10*T2^12 - 
      569*T1^11*T2^12 + 459*T1^12*T2^12 + 4*T1^13*T2^12 + 190*T1^14*T2^12 - 
      87*T1^15*T2^12 + 209*T1^16*T2^12 - 184*T1^5*T2^13 + 202*T1^6*T2^13 - 
      246*T1^7*T2^13 - 20*T1^8*T2^13 + 4*T1^9*T2^13 - 62*T1^10*T2^13 - 
      62*T1^11*T2^13 + 4*T1^12*T2^13 - 20*T1^13*T2^13 - 246*T1^14*T2^13 + 
      202*T1^15*T2^13 - 184*T1^16*T2^13 + 126*T1^6*T2^14 - 233*T1^7*T2^14 + 
      341*T1^8*T2^14 - 246*T1^9*T2^14 + 190*T1^10*T2^14 - 121*T1^11*T2^14 + 
      190*T1^12*T2^14 - 246*T1^13*T2^14 + 341*T1^14*T2^14 - 233*T1^15*T2^14 + 
      126*T1^16*T2^14 - 59*T1^7*T2^15 + 146*T1^8*T2^15 - 233*T1^9*T2^15 + 
      202*T1^10*T2^15 - 87*T1^11*T2^15 - 87*T1^12*T2^15 + 202*T1^13*T2^15 - 
      233*T1^14*T2^15 + 146*T1^15*T2^15 - 59*T1^16*T2^15 + 17*T1^8*T2^16 - 
      59*T1^9*T2^16 + 126*T1^10*T2^16 - 184*T1^11*T2^16 + 209*T1^12*T2^16 - 
      184*T1^13*T2^16 + 126*T1^14*T2^16 - 59*T1^15*T2^16 + 17*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 376] -> 
  {((1 - T + T^2)^2*(4 - 7*T + 4*T^2))/T^3, 
   (-4*(20 - 74*T1 + 148*T1^2 - 182*T1^3 + 148*T1^4 - 74*T1^5 + 20*T1^6 - 
      74*T2 + 200*T1*T2 - 274*T1^2*T2 + 126*T1^3*T2 + 126*T1^4*T2 - 
      274*T1^5*T2 + 200*T1^6*T2 - 74*T1^7*T2 + 148*T2^2 - 274*T1*T2^2 + 
      228*T1^2*T2^2 + 152*T1^3*T2^2 - 340*T1^4*T2^2 + 152*T1^5*T2^2 + 
      228*T1^6*T2^2 - 274*T1^7*T2^2 + 148*T1^8*T2^2 - 182*T2^3 + 
      126*T1*T2^3 + 152*T1^2*T2^3 - 628*T1^3*T2^3 + 322*T1^4*T2^3 + 
      322*T1^5*T2^3 - 628*T1^6*T2^3 + 152*T1^7*T2^3 + 126*T1^8*T2^3 - 
      182*T1^9*T2^3 + 148*T2^4 + 126*T1*T2^4 - 340*T1^2*T2^4 + 
      322*T1^3*T2^4 + 811*T1^4*T2^4 - 1372*T1^5*T2^4 + 811*T1^6*T2^4 + 
      322*T1^7*T2^4 - 340*T1^8*T2^4 + 126*T1^9*T2^4 + 148*T1^10*T2^4 - 
      74*T2^5 - 274*T1*T2^5 + 152*T1^2*T2^5 + 322*T1^3*T2^5 - 
      1372*T1^4*T2^5 + 713*T1^5*T2^5 + 713*T1^6*T2^5 - 1372*T1^7*T2^5 + 
      322*T1^8*T2^5 + 152*T1^9*T2^5 - 274*T1^10*T2^5 - 74*T1^11*T2^5 + 
      20*T2^6 + 200*T1*T2^6 + 228*T1^2*T2^6 - 628*T1^3*T2^6 + 811*T1^4*T2^6 + 
      713*T1^5*T2^6 - 1500*T1^6*T2^6 + 713*T1^7*T2^6 + 811*T1^8*T2^6 - 
      628*T1^9*T2^6 + 228*T1^10*T2^6 + 200*T1^11*T2^6 + 20*T1^12*T2^6 - 
      74*T1*T2^7 - 274*T1^2*T2^7 + 152*T1^3*T2^7 + 322*T1^4*T2^7 - 
      1372*T1^5*T2^7 + 713*T1^6*T2^7 + 713*T1^7*T2^7 - 1372*T1^8*T2^7 + 
      322*T1^9*T2^7 + 152*T1^10*T2^7 - 274*T1^11*T2^7 - 74*T1^12*T2^7 + 
      148*T1^2*T2^8 + 126*T1^3*T2^8 - 340*T1^4*T2^8 + 322*T1^5*T2^8 + 
      811*T1^6*T2^8 - 1372*T1^7*T2^8 + 811*T1^8*T2^8 + 322*T1^9*T2^8 - 
      340*T1^10*T2^8 + 126*T1^11*T2^8 + 148*T1^12*T2^8 - 182*T1^3*T2^9 + 
      126*T1^4*T2^9 + 152*T1^5*T2^9 - 628*T1^6*T2^9 + 322*T1^7*T2^9 + 
      322*T1^8*T2^9 - 628*T1^9*T2^9 + 152*T1^10*T2^9 + 126*T1^11*T2^9 - 
      182*T1^12*T2^9 + 148*T1^4*T2^10 - 274*T1^5*T2^10 + 228*T1^6*T2^10 + 
      152*T1^7*T2^10 - 340*T1^8*T2^10 + 152*T1^9*T2^10 + 228*T1^10*T2^10 - 
      274*T1^11*T2^10 + 148*T1^12*T2^10 - 74*T1^5*T2^11 + 200*T1^6*T2^11 - 
      274*T1^7*T2^11 + 126*T1^8*T2^11 + 126*T1^9*T2^11 - 274*T1^10*T2^11 + 
      200*T1^11*T2^11 - 74*T1^12*T2^11 + 20*T1^6*T2^12 - 74*T1^7*T2^12 + 
      148*T1^8*T2^12 - 182*T1^9*T2^12 + 148*T1^10*T2^12 - 74*T1^11*T2^12 + 
      20*T1^12*T2^12))/(T1^6*T2^6)}, Knot[12, Alternating, 377] -> 
  {((1 - 3*T + T^2)^2*(1 - T + T^2)^2)/T^4, 
   (6 - 28*T1 + 58*T1^2 - 74*T1^3 + 58*T1^4 - 28*T1^5 + 6*T1^6 - 28*T2 + 
     104*T1*T2 - 149*T1^2*T2 + 80*T1^3*T2 + 80*T1^4*T2 - 149*T1^5*T2 + 
     104*T1^6*T2 - 28*T1^7*T2 + 58*T2^2 - 149*T1*T2^2 + 26*T1^2*T2^2 + 
     374*T1^3*T2^2 - 652*T1^4*T2^2 + 374*T1^5*T2^2 + 26*T1^6*T2^2 - 
     149*T1^7*T2^2 + 58*T1^8*T2^2 - 74*T2^3 + 80*T1*T2^3 + 374*T1^2*T2^3 - 
     980*T1^3*T2^3 + 606*T1^4*T2^3 + 606*T1^5*T2^3 - 980*T1^6*T2^3 + 
     374*T1^7*T2^3 + 80*T1^8*T2^3 - 74*T1^9*T2^3 + 58*T2^4 + 80*T1*T2^4 - 
     652*T1^2*T2^4 + 606*T1^3*T2^4 + 1238*T1^4*T2^4 - 2538*T1^5*T2^4 + 
     1238*T1^6*T2^4 + 606*T1^7*T2^4 - 652*T1^8*T2^4 + 80*T1^9*T2^4 + 
     58*T1^10*T2^4 - 28*T2^5 - 149*T1*T2^5 + 374*T1^2*T2^5 + 606*T1^3*T2^5 - 
     2538*T1^4*T2^5 + 1572*T1^5*T2^5 + 1572*T1^6*T2^5 - 2538*T1^7*T2^5 + 
     606*T1^8*T2^5 + 374*T1^9*T2^5 - 149*T1^10*T2^5 - 28*T1^11*T2^5 + 
     6*T2^6 + 104*T1*T2^6 + 26*T1^2*T2^6 - 980*T1^3*T2^6 + 1238*T1^4*T2^6 + 
     1572*T1^5*T2^6 - 3504*T1^6*T2^6 + 1572*T1^7*T2^6 + 1238*T1^8*T2^6 - 
     980*T1^9*T2^6 + 26*T1^10*T2^6 + 104*T1^11*T2^6 + 6*T1^12*T2^6 - 
     28*T1*T2^7 - 149*T1^2*T2^7 + 374*T1^3*T2^7 + 606*T1^4*T2^7 - 
     2538*T1^5*T2^7 + 1572*T1^6*T2^7 + 1572*T1^7*T2^7 - 2538*T1^8*T2^7 + 
     606*T1^9*T2^7 + 374*T1^10*T2^7 - 149*T1^11*T2^7 - 28*T1^12*T2^7 + 
     58*T1^2*T2^8 + 80*T1^3*T2^8 - 652*T1^4*T2^8 + 606*T1^5*T2^8 + 
     1238*T1^6*T2^8 - 2538*T1^7*T2^8 + 1238*T1^8*T2^8 + 606*T1^9*T2^8 - 
     652*T1^10*T2^8 + 80*T1^11*T2^8 + 58*T1^12*T2^8 - 74*T1^3*T2^9 + 
     80*T1^4*T2^9 + 374*T1^5*T2^9 - 980*T1^6*T2^9 + 606*T1^7*T2^9 + 
     606*T1^8*T2^9 - 980*T1^9*T2^9 + 374*T1^10*T2^9 + 80*T1^11*T2^9 - 
     74*T1^12*T2^9 + 58*T1^4*T2^10 - 149*T1^5*T2^10 + 26*T1^6*T2^10 + 
     374*T1^7*T2^10 - 652*T1^8*T2^10 + 374*T1^9*T2^10 + 26*T1^10*T2^10 - 
     149*T1^11*T2^10 + 58*T1^12*T2^10 - 28*T1^5*T2^11 + 104*T1^6*T2^11 - 
     149*T1^7*T2^11 + 80*T1^8*T2^11 + 80*T1^9*T2^11 - 149*T1^10*T2^11 + 
     104*T1^11*T2^11 - 28*T1^12*T2^11 + 6*T1^6*T2^12 - 28*T1^7*T2^12 + 
     58*T1^8*T2^12 - 74*T1^9*T2^12 + 58*T1^10*T2^12 - 28*T1^11*T2^12 + 
     6*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 378] -> 
  {(2 - 12*T + 30*T^2 - 39*T^3 + 30*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (7 - 41*T1 + 101*T1^2 - 131*T1^3 + 101*T1^4 - 41*T1^5 + 7*T1^6 - 41*T2 + 
     198*T1*T2 - 348*T1^2*T2 + 174*T1^3*T2 + 174*T1^4*T2 - 348*T1^5*T2 + 
     198*T1^6*T2 - 41*T1^7*T2 + 101*T2^2 - 348*T1*T2^2 + 154*T1^2*T2^2 + 
     936*T1^3*T2^2 - 1524*T1^4*T2^2 + 936*T1^5*T2^2 + 154*T1^6*T2^2 - 
     348*T1^7*T2^2 + 101*T1^8*T2^2 - 131*T2^3 + 174*T1*T2^3 + 936*T1^2*T2^3 - 
     2586*T1^3*T2^3 + 1386*T1^4*T2^3 + 1386*T1^5*T2^3 - 2586*T1^6*T2^3 + 
     936*T1^7*T2^3 + 174*T1^8*T2^3 - 131*T1^9*T2^3 + 101*T2^4 + 174*T1*T2^4 - 
     1524*T1^2*T2^4 + 1386*T1^3*T2^4 + 3217*T1^4*T2^4 - 5913*T1^5*T2^4 + 
     3217*T1^6*T2^4 + 1386*T1^7*T2^4 - 1524*T1^8*T2^4 + 174*T1^9*T2^4 + 
     101*T1^10*T2^4 - 41*T2^5 - 348*T1*T2^5 + 936*T1^2*T2^5 + 
     1386*T1^3*T2^5 - 5913*T1^4*T2^5 + 3456*T1^5*T2^5 + 3456*T1^6*T2^5 - 
     5913*T1^7*T2^5 + 1386*T1^8*T2^5 + 936*T1^9*T2^5 - 348*T1^10*T2^5 - 
     41*T1^11*T2^5 + 7*T2^6 + 198*T1*T2^6 + 154*T1^2*T2^6 - 2586*T1^3*T2^6 + 
     3217*T1^4*T2^6 + 3456*T1^5*T2^6 - 7764*T1^6*T2^6 + 3456*T1^7*T2^6 + 
     3217*T1^8*T2^6 - 2586*T1^9*T2^6 + 154*T1^10*T2^6 + 198*T1^11*T2^6 + 
     7*T1^12*T2^6 - 41*T1*T2^7 - 348*T1^2*T2^7 + 936*T1^3*T2^7 + 
     1386*T1^4*T2^7 - 5913*T1^5*T2^7 + 3456*T1^6*T2^7 + 3456*T1^7*T2^7 - 
     5913*T1^8*T2^7 + 1386*T1^9*T2^7 + 936*T1^10*T2^7 - 348*T1^11*T2^7 - 
     41*T1^12*T2^7 + 101*T1^2*T2^8 + 174*T1^3*T2^8 - 1524*T1^4*T2^8 + 
     1386*T1^5*T2^8 + 3217*T1^6*T2^8 - 5913*T1^7*T2^8 + 3217*T1^8*T2^8 + 
     1386*T1^9*T2^8 - 1524*T1^10*T2^8 + 174*T1^11*T2^8 + 101*T1^12*T2^8 - 
     131*T1^3*T2^9 + 174*T1^4*T2^9 + 936*T1^5*T2^9 - 2586*T1^6*T2^9 + 
     1386*T1^7*T2^9 + 1386*T1^8*T2^9 - 2586*T1^9*T2^9 + 936*T1^10*T2^9 + 
     174*T1^11*T2^9 - 131*T1^12*T2^9 + 101*T1^4*T2^10 - 348*T1^5*T2^10 + 
     154*T1^6*T2^10 + 936*T1^7*T2^10 - 1524*T1^8*T2^10 + 936*T1^9*T2^10 + 
     154*T1^10*T2^10 - 348*T1^11*T2^10 + 101*T1^12*T2^10 - 41*T1^5*T2^11 + 
     198*T1^6*T2^11 - 348*T1^7*T2^11 + 174*T1^8*T2^11 + 174*T1^9*T2^11 - 
     348*T1^10*T2^11 + 198*T1^11*T2^11 - 41*T1^12*T2^11 + 7*T1^6*T2^12 - 
     41*T1^7*T2^12 + 101*T1^8*T2^12 - 131*T1^9*T2^12 + 101*T1^10*T2^12 - 
     41*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 379] -> 
  {(3 - 9*T + 15*T^2 - 17*T^3 + 15*T^4 - 9*T^5 + 3*T^6)/T^3, 
   (-2*(18 - 54*T1 + 90*T1^2 - 101*T1^3 + 90*T1^4 - 54*T1^5 + 18*T1^6 - 
      54*T2 + 108*T1*T2 - 108*T1^2*T2 + 33*T1^3*T2 + 33*T1^4*T2 - 
      108*T1^5*T2 + 108*T1^6*T2 - 54*T1^7*T2 + 90*T2^2 - 108*T1*T2^2 + 
      54*T1^2*T2^2 + 53*T1^3*T2^2 - 45*T1^4*T2^2 + 53*T1^5*T2^2 + 
      54*T1^6*T2^2 - 108*T1^7*T2^2 + 90*T1^8*T2^2 - 101*T2^3 + 33*T1*T2^3 + 
      53*T1^2*T2^3 - 140*T1^3*T2^3 + 17*T1^4*T2^3 + 17*T1^5*T2^3 - 
      140*T1^6*T2^3 + 53*T1^7*T2^3 + 33*T1^8*T2^3 - 101*T1^9*T2^3 + 90*T2^4 + 
      33*T1*T2^4 - 45*T1^2*T2^4 + 17*T1^3*T2^4 + 228*T1^4*T2^4 - 
      221*T1^5*T2^4 + 228*T1^6*T2^4 + 17*T1^7*T2^4 - 45*T1^8*T2^4 + 
      33*T1^9*T2^4 + 90*T1^10*T2^4 - 54*T2^5 - 108*T1*T2^5 + 53*T1^2*T2^5 + 
      17*T1^3*T2^5 - 221*T1^4*T2^5 + 46*T1^5*T2^5 + 46*T1^6*T2^5 - 
      221*T1^7*T2^5 + 17*T1^8*T2^5 + 53*T1^9*T2^5 - 108*T1^10*T2^5 - 
      54*T1^11*T2^5 + 18*T2^6 + 108*T1*T2^6 + 54*T1^2*T2^6 - 140*T1^3*T2^6 + 
      228*T1^4*T2^6 + 46*T1^5*T2^6 - 54*T1^6*T2^6 + 46*T1^7*T2^6 + 
      228*T1^8*T2^6 - 140*T1^9*T2^6 + 54*T1^10*T2^6 + 108*T1^11*T2^6 + 
      18*T1^12*T2^6 - 54*T1*T2^7 - 108*T1^2*T2^7 + 53*T1^3*T2^7 + 
      17*T1^4*T2^7 - 221*T1^5*T2^7 + 46*T1^6*T2^7 + 46*T1^7*T2^7 - 
      221*T1^8*T2^7 + 17*T1^9*T2^7 + 53*T1^10*T2^7 - 108*T1^11*T2^7 - 
      54*T1^12*T2^7 + 90*T1^2*T2^8 + 33*T1^3*T2^8 - 45*T1^4*T2^8 + 
      17*T1^5*T2^8 + 228*T1^6*T2^8 - 221*T1^7*T2^8 + 228*T1^8*T2^8 + 
      17*T1^9*T2^8 - 45*T1^10*T2^8 + 33*T1^11*T2^8 + 90*T1^12*T2^8 - 
      101*T1^3*T2^9 + 33*T1^4*T2^9 + 53*T1^5*T2^9 - 140*T1^6*T2^9 + 
      17*T1^7*T2^9 + 17*T1^8*T2^9 - 140*T1^9*T2^9 + 53*T1^10*T2^9 + 
      33*T1^11*T2^9 - 101*T1^12*T2^9 + 90*T1^4*T2^10 - 108*T1^5*T2^10 + 
      54*T1^6*T2^10 + 53*T1^7*T2^10 - 45*T1^8*T2^10 + 53*T1^9*T2^10 + 
      54*T1^10*T2^10 - 108*T1^11*T2^10 + 90*T1^12*T2^10 - 54*T1^5*T2^11 + 
      108*T1^6*T2^11 - 108*T1^7*T2^11 + 33*T1^8*T2^11 + 33*T1^9*T2^11 - 
      108*T1^10*T2^11 + 108*T1^11*T2^11 - 54*T1^12*T2^11 + 18*T1^6*T2^12 - 
      54*T1^7*T2^12 + 90*T1^8*T2^12 - 101*T1^9*T2^12 + 90*T1^10*T2^12 - 
      54*T1^11*T2^12 + 18*T1^12*T2^12))/(T1^6*T2^6)}, 
 Knot[12, Alternating, 380] -> {((2 - 3*T + 2*T^2)*(3 - 5*T + 3*T^2))/T^2, 
   -((99 - 317*T1 + 465*T1^2 - 317*T1^3 + 99*T1^4 - 317*T2 + 700*T1*T2 - 
      476*T1^2*T2 - 476*T1^3*T2 + 700*T1^4*T2 - 317*T1^5*T2 + 465*T2^2 - 
      476*T1*T2^2 - 399*T1^2*T2^2 + 1427*T1^3*T2^2 - 399*T1^4*T2^2 - 
      476*T1^5*T2^2 + 465*T1^6*T2^2 - 317*T2^3 - 476*T1*T2^3 + 
      1427*T1^2*T2^3 - 1234*T1^3*T2^3 - 1234*T1^4*T2^3 + 1427*T1^5*T2^3 - 
      476*T1^6*T2^3 - 317*T1^7*T2^3 + 99*T2^4 + 700*T1*T2^4 - 399*T1^2*T2^4 - 
      1234*T1^3*T2^4 + 3168*T1^4*T2^4 - 1234*T1^5*T2^4 - 399*T1^6*T2^4 + 
      700*T1^7*T2^4 + 99*T1^8*T2^4 - 317*T1*T2^5 - 476*T1^2*T2^5 + 
      1427*T1^3*T2^5 - 1234*T1^4*T2^5 - 1234*T1^5*T2^5 + 1427*T1^6*T2^5 - 
      476*T1^7*T2^5 - 317*T1^8*T2^5 + 465*T1^2*T2^6 - 476*T1^3*T2^6 - 
      399*T1^4*T2^6 + 1427*T1^5*T2^6 - 399*T1^6*T2^6 - 476*T1^7*T2^6 + 
      465*T1^8*T2^6 - 317*T1^3*T2^7 + 700*T1^4*T2^7 - 476*T1^5*T2^7 - 
      476*T1^6*T2^7 + 700*T1^7*T2^7 - 317*T1^8*T2^7 + 99*T1^4*T2^8 - 
      317*T1^5*T2^8 + 465*T1^6*T2^8 - 317*T1^7*T2^8 + 99*T1^8*T2^8)/
     (T1^4*T2^4))}, Knot[12, Alternating, 381] -> 
  {((1 - 3*T + T^2)*(3 - 8*T + 9*T^2 - 8*T^3 + 3*T^4))/T^3, 
   (30 - 172*T1 + 362*T1^2 - 428*T1^3 + 362*T1^4 - 172*T1^5 + 30*T1^6 - 
     172*T2 + 816*T1*T2 - 1096*T1^2*T2 + 384*T1^3*T2 + 384*T1^4*T2 - 
     1096*T1^5*T2 + 816*T1^6*T2 - 172*T1^7*T2 + 362*T2^2 - 1096*T1*T2^2 - 
     923*T1^2*T2^2 + 4768*T1^3*T2^2 - 5567*T1^4*T2^2 + 4768*T1^5*T2^2 - 
     923*T1^6*T2^2 - 1096*T1^7*T2^2 + 362*T1^8*T2^2 - 428*T2^3 + 
     384*T1*T2^3 + 4768*T1^2*T2^3 - 8060*T1^3*T2^3 + 2431*T1^4*T2^3 + 
     2431*T1^5*T2^3 - 8060*T1^6*T2^3 + 4768*T1^7*T2^3 + 384*T1^8*T2^3 - 
     428*T1^9*T2^3 + 362*T2^4 + 384*T1*T2^4 - 5567*T1^2*T2^4 + 
     2431*T1^3*T2^4 + 9853*T1^4*T2^4 - 11593*T1^5*T2^4 + 9853*T1^6*T2^4 + 
     2431*T1^7*T2^4 - 5567*T1^8*T2^4 + 384*T1^9*T2^4 + 362*T1^10*T2^4 - 
     172*T2^5 - 1096*T1*T2^5 + 4768*T1^2*T2^5 + 2431*T1^3*T2^5 - 
     11593*T1^4*T2^5 + 3380*T1^5*T2^5 + 3380*T1^6*T2^5 - 11593*T1^7*T2^5 + 
     2431*T1^8*T2^5 + 4768*T1^9*T2^5 - 1096*T1^10*T2^5 - 172*T1^11*T2^5 + 
     30*T2^6 + 816*T1*T2^6 - 923*T1^2*T2^6 - 8060*T1^3*T2^6 + 
     9853*T1^4*T2^6 + 3380*T1^5*T2^6 - 5172*T1^6*T2^6 + 3380*T1^7*T2^6 + 
     9853*T1^8*T2^6 - 8060*T1^9*T2^6 - 923*T1^10*T2^6 + 816*T1^11*T2^6 + 
     30*T1^12*T2^6 - 172*T1*T2^7 - 1096*T1^2*T2^7 + 4768*T1^3*T2^7 + 
     2431*T1^4*T2^7 - 11593*T1^5*T2^7 + 3380*T1^6*T2^7 + 3380*T1^7*T2^7 - 
     11593*T1^8*T2^7 + 2431*T1^9*T2^7 + 4768*T1^10*T2^7 - 1096*T1^11*T2^7 - 
     172*T1^12*T2^7 + 362*T1^2*T2^8 + 384*T1^3*T2^8 - 5567*T1^4*T2^8 + 
     2431*T1^5*T2^8 + 9853*T1^6*T2^8 - 11593*T1^7*T2^8 + 9853*T1^8*T2^8 + 
     2431*T1^9*T2^8 - 5567*T1^10*T2^8 + 384*T1^11*T2^8 + 362*T1^12*T2^8 - 
     428*T1^3*T2^9 + 384*T1^4*T2^9 + 4768*T1^5*T2^9 - 8060*T1^6*T2^9 + 
     2431*T1^7*T2^9 + 2431*T1^8*T2^9 - 8060*T1^9*T2^9 + 4768*T1^10*T2^9 + 
     384*T1^11*T2^9 - 428*T1^12*T2^9 + 362*T1^4*T2^10 - 1096*T1^5*T2^10 - 
     923*T1^6*T2^10 + 4768*T1^7*T2^10 - 5567*T1^8*T2^10 + 4768*T1^9*T2^10 - 
     923*T1^10*T2^10 - 1096*T1^11*T2^10 + 362*T1^12*T2^10 - 172*T1^5*T2^11 + 
     816*T1^6*T2^11 - 1096*T1^7*T2^11 + 384*T1^8*T2^11 + 384*T1^9*T2^11 - 
     1096*T1^10*T2^11 + 816*T1^11*T2^11 - 172*T1^12*T2^11 + 30*T1^6*T2^12 - 
     172*T1^7*T2^12 + 362*T1^8*T2^12 - 428*T1^9*T2^12 + 362*T1^10*T2^12 - 
     172*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 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 + 84*T1*T2 - 154*T1^2*T2 + 112*T1^3*T2 - 42*T1^4*T2 - 
      42*T1^5*T2 + 112*T1^6*T2 - 154*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
      36*T2^2 - 154*T1*T2^2 + 3*T1^2*T2^2 + 559*T1^3*T2^2 - 831*T1^4*T2^2 + 
      939*T1^5*T2^2 - 831*T1^6*T2^2 + 559*T1^7*T2^2 + 3*T1^8*T2^2 - 
      154*T1^9*T2^2 + 36*T1^10*T2^2 - 52*T2^3 + 112*T1*T2^3 + 559*T1^2*T2^3 - 
      1450*T1^3*T2^3 + 892*T1^4*T2^3 - 338*T1^5*T2^3 - 338*T1^6*T2^3 + 
      892*T1^7*T2^3 - 1450*T1^8*T2^3 + 559*T1^9*T2^3 + 112*T1^10*T2^3 - 
      52*T1^11*T2^3 + 58*T2^4 - 42*T1*T2^4 - 831*T1^2*T2^4 + 892*T1^3*T2^4 + 
      1372*T1^4*T2^4 - 1999*T1^5*T2^4 + 2334*T1^6*T2^4 - 1999*T1^7*T2^4 + 
      1372*T1^8*T2^4 + 892*T1^9*T2^4 - 831*T1^10*T2^4 - 42*T1^11*T2^4 + 
      58*T1^12*T2^4 - 52*T2^5 - 42*T1*T2^5 + 939*T1^2*T2^5 - 338*T1^3*T2^5 - 
      1999*T1^4*T2^5 + 874*T1^5*T2^5 - 406*T1^6*T2^5 - 406*T1^7*T2^5 + 
      874*T1^8*T2^5 - 1999*T1^9*T2^5 - 338*T1^10*T2^5 + 939*T1^11*T2^5 - 
      42*T1^12*T2^5 - 52*T1^13*T2^5 + 36*T2^6 + 112*T1*T2^6 - 831*T1^2*T2^6 - 
      338*T1^3*T2^6 + 2334*T1^4*T2^6 - 406*T1^5*T2^6 + 777*T1^6*T2^6 - 
      603*T1^7*T2^6 + 777*T1^8*T2^6 - 406*T1^9*T2^6 + 2334*T1^10*T2^6 - 
      338*T1^11*T2^6 - 831*T1^12*T2^6 + 112*T1^13*T2^6 + 36*T1^14*T2^6 - 
      14*T2^7 - 154*T1*T2^7 + 559*T1^2*T2^7 + 892*T1^3*T2^7 - 
      1999*T1^4*T2^7 - 406*T1^5*T2^7 - 603*T1^6*T2^7 + 114*T1^7*T2^7 + 
      114*T1^8*T2^7 - 603*T1^9*T2^7 - 406*T1^10*T2^7 - 1999*T1^11*T2^7 + 
      892*T1^12*T2^7 + 559*T1^13*T2^7 - 154*T1^14*T2^7 - 14*T1^15*T2^7 + 
      2*T2^8 + 84*T1*T2^8 + 3*T1^2*T2^8 - 1450*T1^3*T2^8 + 1372*T1^4*T2^8 + 
      874*T1^5*T2^8 + 777*T1^6*T2^8 + 114*T1^7*T2^8 - 180*T1^8*T2^8 + 
      114*T1^9*T2^8 + 777*T1^10*T2^8 + 874*T1^11*T2^8 + 1372*T1^12*T2^8 - 
      1450*T1^13*T2^8 + 3*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 
      14*T1*T2^9 - 154*T1^2*T2^9 + 559*T1^3*T2^9 + 892*T1^4*T2^9 - 
      1999*T1^5*T2^9 - 406*T1^6*T2^9 - 603*T1^7*T2^9 + 114*T1^8*T2^9 + 
      114*T1^9*T2^9 - 603*T1^10*T2^9 - 406*T1^11*T2^9 - 1999*T1^12*T2^9 + 
      892*T1^13*T2^9 + 559*T1^14*T2^9 - 154*T1^15*T2^9 - 14*T1^16*T2^9 + 
      36*T1^2*T2^10 + 112*T1^3*T2^10 - 831*T1^4*T2^10 - 338*T1^5*T2^10 + 
      2334*T1^6*T2^10 - 406*T1^7*T2^10 + 777*T1^8*T2^10 - 603*T1^9*T2^10 + 
      777*T1^10*T2^10 - 406*T1^11*T2^10 + 2334*T1^12*T2^10 - 
      338*T1^13*T2^10 - 831*T1^14*T2^10 + 112*T1^15*T2^10 + 36*T1^16*T2^10 - 
      52*T1^3*T2^11 - 42*T1^4*T2^11 + 939*T1^5*T2^11 - 338*T1^6*T2^11 - 
      1999*T1^7*T2^11 + 874*T1^8*T2^11 - 406*T1^9*T2^11 - 406*T1^10*T2^11 + 
      874*T1^11*T2^11 - 1999*T1^12*T2^11 - 338*T1^13*T2^11 + 
      939*T1^14*T2^11 - 42*T1^15*T2^11 - 52*T1^16*T2^11 + 58*T1^4*T2^12 - 
      42*T1^5*T2^12 - 831*T1^6*T2^12 + 892*T1^7*T2^12 + 1372*T1^8*T2^12 - 
      1999*T1^9*T2^12 + 2334*T1^10*T2^12 - 1999*T1^11*T2^12 + 
      1372*T1^12*T2^12 + 892*T1^13*T2^12 - 831*T1^14*T2^12 - 42*T1^15*T2^12 + 
      58*T1^16*T2^12 - 52*T1^5*T2^13 + 112*T1^6*T2^13 + 559*T1^7*T2^13 - 
      1450*T1^8*T2^13 + 892*T1^9*T2^13 - 338*T1^10*T2^13 - 338*T1^11*T2^13 + 
      892*T1^12*T2^13 - 1450*T1^13*T2^13 + 559*T1^14*T2^13 + 
      112*T1^15*T2^13 - 52*T1^16*T2^13 + 36*T1^6*T2^14 - 154*T1^7*T2^14 + 
      3*T1^8*T2^14 + 559*T1^9*T2^14 - 831*T1^10*T2^14 + 939*T1^11*T2^14 - 
      831*T1^12*T2^14 + 559*T1^13*T2^14 + 3*T1^14*T2^14 - 154*T1^15*T2^14 + 
      36*T1^16*T2^14 - 14*T1^7*T2^15 + 84*T1^8*T2^15 - 154*T1^9*T2^15 + 
      112*T1^10*T2^15 - 42*T1^11*T2^15 - 42*T1^12*T2^15 + 112*T1^13*T2^15 - 
      154*T1^14*T2^15 + 84*T1^15*T2^15 - 14*T1^16*T2^15 + 2*T1^8*T2^16 - 
      14*T1^9*T2^16 + 36*T1^10*T2^16 - 52*T1^11*T2^16 + 58*T1^12*T2^16 - 
      52*T1^13*T2^16 + 36*T1^14*T2^16 - 14*T1^15*T2^16 + 2*T1^16*T2^16)/
     (T1^8*T2^8))}, 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), (1 - 7*T1 + 20*T1^2 - 34*T1^3 + 39*T1^4 - 34*T1^5 + 20*T1^6 - 
     7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 91*T1^2*T2 + 98*T1^3*T2 - 35*T1^4*T2 - 
     35*T1^5*T2 + 98*T1^6*T2 - 91*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 
     20*T2^2 - 91*T1*T2^2 + 82*T1^2*T2^2 + 141*T1^3*T2^2 - 455*T1^4*T2^2 + 
     520*T1^5*T2^2 - 455*T1^6*T2^2 + 141*T1^7*T2^2 + 82*T1^8*T2^2 - 
     91*T1^9*T2^2 + 20*T1^10*T2^2 - 34*T2^3 + 98*T1*T2^3 + 141*T1^2*T2^3 - 
     654*T1^3*T2^3 + 854*T1^4*T2^3 - 246*T1^5*T2^3 - 246*T1^6*T2^3 + 
     854*T1^7*T2^3 - 654*T1^8*T2^3 + 141*T1^9*T2^3 + 98*T1^10*T2^3 - 
     34*T1^11*T2^3 + 39*T2^4 - 35*T1*T2^4 - 455*T1^2*T2^4 + 854*T1^3*T2^4 - 
     251*T1^4*T2^4 - 1228*T1^5*T2^4 + 1351*T1^6*T2^4 - 1228*T1^7*T2^4 - 
     251*T1^8*T2^4 + 854*T1^9*T2^4 - 455*T1^10*T2^4 - 35*T1^11*T2^4 + 
     39*T1^12*T2^4 - 34*T2^5 - 35*T1*T2^5 + 520*T1^2*T2^5 - 246*T1^3*T2^5 - 
     1228*T1^4*T2^5 + 2466*T1^5*T2^5 - 710*T1^6*T2^5 - 710*T1^7*T2^5 + 
     2466*T1^8*T2^5 - 1228*T1^9*T2^5 - 246*T1^10*T2^5 + 520*T1^11*T2^5 - 
     35*T1^12*T2^5 - 34*T1^13*T2^5 + 20*T2^6 + 98*T1*T2^6 - 455*T1^2*T2^6 - 
     246*T1^3*T2^6 + 1351*T1^4*T2^6 - 710*T1^5*T2^6 - 2991*T1^6*T2^6 + 
     3791*T1^7*T2^6 - 2991*T1^8*T2^6 - 710*T1^9*T2^6 + 1351*T1^10*T2^6 - 
     246*T1^11*T2^6 - 455*T1^12*T2^6 + 98*T1^13*T2^6 + 20*T1^14*T2^6 - 
     7*T2^7 - 91*T1*T2^7 + 141*T1^2*T2^7 + 854*T1^3*T2^7 - 1228*T1^4*T2^7 - 
     710*T1^5*T2^7 + 3791*T1^6*T2^7 - 1530*T1^7*T2^7 - 1530*T1^8*T2^7 + 
     3791*T1^9*T2^7 - 710*T1^10*T2^7 - 1228*T1^11*T2^7 + 854*T1^12*T2^7 + 
     141*T1^13*T2^7 - 91*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 
     82*T1^2*T2^8 - 654*T1^3*T2^8 - 251*T1^4*T2^8 + 2466*T1^5*T2^8 - 
     2991*T1^6*T2^8 - 1530*T1^7*T2^8 + 3120*T1^8*T2^8 - 1530*T1^9*T2^8 - 
     2991*T1^10*T2^8 + 2466*T1^11*T2^8 - 251*T1^12*T2^8 - 654*T1^13*T2^8 + 
     82*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 91*T1^2*T2^9 + 
     141*T1^3*T2^9 + 854*T1^4*T2^9 - 1228*T1^5*T2^9 - 710*T1^6*T2^9 + 
     3791*T1^7*T2^9 - 1530*T1^8*T2^9 - 1530*T1^9*T2^9 + 3791*T1^10*T2^9 - 
     710*T1^11*T2^9 - 1228*T1^12*T2^9 + 854*T1^13*T2^9 + 141*T1^14*T2^9 - 
     91*T1^15*T2^9 - 7*T1^16*T2^9 + 20*T1^2*T2^10 + 98*T1^3*T2^10 - 
     455*T1^4*T2^10 - 246*T1^5*T2^10 + 1351*T1^6*T2^10 - 710*T1^7*T2^10 - 
     2991*T1^8*T2^10 + 3791*T1^9*T2^10 - 2991*T1^10*T2^10 - 710*T1^11*T2^10 + 
     1351*T1^12*T2^10 - 246*T1^13*T2^10 - 455*T1^14*T2^10 + 98*T1^15*T2^10 + 
     20*T1^16*T2^10 - 34*T1^3*T2^11 - 35*T1^4*T2^11 + 520*T1^5*T2^11 - 
     246*T1^6*T2^11 - 1228*T1^7*T2^11 + 2466*T1^8*T2^11 - 710*T1^9*T2^11 - 
     710*T1^10*T2^11 + 2466*T1^11*T2^11 - 1228*T1^12*T2^11 - 
     246*T1^13*T2^11 + 520*T1^14*T2^11 - 35*T1^15*T2^11 - 34*T1^16*T2^11 + 
     39*T1^4*T2^12 - 35*T1^5*T2^12 - 455*T1^6*T2^12 + 854*T1^7*T2^12 - 
     251*T1^8*T2^12 - 1228*T1^9*T2^12 + 1351*T1^10*T2^12 - 1228*T1^11*T2^12 - 
     251*T1^12*T2^12 + 854*T1^13*T2^12 - 455*T1^14*T2^12 - 35*T1^15*T2^12 + 
     39*T1^16*T2^12 - 34*T1^5*T2^13 + 98*T1^6*T2^13 + 141*T1^7*T2^13 - 
     654*T1^8*T2^13 + 854*T1^9*T2^13 - 246*T1^10*T2^13 - 246*T1^11*T2^13 + 
     854*T1^12*T2^13 - 654*T1^13*T2^13 + 141*T1^14*T2^13 + 98*T1^15*T2^13 - 
     34*T1^16*T2^13 + 20*T1^6*T2^14 - 91*T1^7*T2^14 + 82*T1^8*T2^14 + 
     141*T1^9*T2^14 - 455*T1^10*T2^14 + 520*T1^11*T2^14 - 455*T1^12*T2^14 + 
     141*T1^13*T2^14 + 82*T1^14*T2^14 - 91*T1^15*T2^14 + 20*T1^16*T2^14 - 
     7*T1^7*T2^15 + 42*T1^8*T2^15 - 91*T1^9*T2^15 + 98*T1^10*T2^15 - 
     35*T1^11*T2^15 - 35*T1^12*T2^15 + 98*T1^13*T2^15 - 91*T1^14*T2^15 + 
     42*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 
     20*T1^10*T2^16 - 34*T1^11*T2^16 + 39*T1^12*T2^16 - 34*T1^13*T2^16 + 
     20*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 384] -> 
  {(2 - 14*T + 36*T^2 - 47*T^3 + 36*T^4 - 14*T^5 + 2*T^6)/T^3, 
   -((9 - 63*T1 + 161*T1^2 - 209*T1^3 + 161*T1^4 - 63*T1^5 + 9*T1^6 - 63*T2 + 
      378*T1*T2 - 686*T1^2*T2 + 336*T1^3*T2 + 336*T1^4*T2 - 686*T1^5*T2 + 
      378*T1^6*T2 - 63*T1^7*T2 + 161*T2^2 - 686*T1*T2^2 - 27*T1^2*T2^2 + 
      2961*T1^3*T2^2 - 4407*T1^4*T2^2 + 2961*T1^5*T2^2 - 27*T1^6*T2^2 - 
      686*T1^7*T2^2 + 161*T1^8*T2^2 - 209*T2^3 + 336*T1*T2^3 + 
      2961*T1^2*T2^3 - 7520*T1^3*T2^3 + 3754*T1^4*T2^3 + 3754*T1^5*T2^3 - 
      7520*T1^6*T2^3 + 2961*T1^7*T2^3 + 336*T1^8*T2^3 - 209*T1^9*T2^3 + 
      161*T2^4 + 336*T1*T2^4 - 4407*T1^2*T2^4 + 3754*T1^3*T2^4 + 
      10262*T1^4*T2^4 - 17336*T1^5*T2^4 + 10262*T1^6*T2^4 + 3754*T1^7*T2^4 - 
      4407*T1^8*T2^4 + 336*T1^9*T2^4 + 161*T1^10*T2^4 - 63*T2^5 - 
      686*T1*T2^5 + 2961*T1^2*T2^5 + 3754*T1^3*T2^5 - 17336*T1^4*T2^5 + 
      9214*T1^5*T2^5 + 9214*T1^6*T2^5 - 17336*T1^7*T2^5 + 3754*T1^8*T2^5 + 
      2961*T1^9*T2^5 - 686*T1^10*T2^5 - 63*T1^11*T2^5 + 9*T2^6 + 
      378*T1*T2^6 - 27*T1^2*T2^6 - 7520*T1^3*T2^6 + 10262*T1^4*T2^6 + 
      9214*T1^5*T2^6 - 19740*T1^6*T2^6 + 9214*T1^7*T2^6 + 10262*T1^8*T2^6 - 
      7520*T1^9*T2^6 - 27*T1^10*T2^6 + 378*T1^11*T2^6 + 9*T1^12*T2^6 - 
      63*T1*T2^7 - 686*T1^2*T2^7 + 2961*T1^3*T2^7 + 3754*T1^4*T2^7 - 
      17336*T1^5*T2^7 + 9214*T1^6*T2^7 + 9214*T1^7*T2^7 - 17336*T1^8*T2^7 + 
      3754*T1^9*T2^7 + 2961*T1^10*T2^7 - 686*T1^11*T2^7 - 63*T1^12*T2^7 + 
      161*T1^2*T2^8 + 336*T1^3*T2^8 - 4407*T1^4*T2^8 + 3754*T1^5*T2^8 + 
      10262*T1^6*T2^8 - 17336*T1^7*T2^8 + 10262*T1^8*T2^8 + 3754*T1^9*T2^8 - 
      4407*T1^10*T2^8 + 336*T1^11*T2^8 + 161*T1^12*T2^8 - 209*T1^3*T2^9 + 
      336*T1^4*T2^9 + 2961*T1^5*T2^9 - 7520*T1^6*T2^9 + 3754*T1^7*T2^9 + 
      3754*T1^8*T2^9 - 7520*T1^9*T2^9 + 2961*T1^10*T2^9 + 336*T1^11*T2^9 - 
      209*T1^12*T2^9 + 161*T1^4*T2^10 - 686*T1^5*T2^10 - 27*T1^6*T2^10 + 
      2961*T1^7*T2^10 - 4407*T1^8*T2^10 + 2961*T1^9*T2^10 - 27*T1^10*T2^10 - 
      686*T1^11*T2^10 + 161*T1^12*T2^10 - 63*T1^5*T2^11 + 378*T1^6*T2^11 - 
      686*T1^7*T2^11 + 336*T1^8*T2^11 + 336*T1^9*T2^11 - 686*T1^10*T2^11 + 
      378*T1^11*T2^11 - 63*T1^12*T2^11 + 9*T1^6*T2^12 - 63*T1^7*T2^12 + 
      161*T1^8*T2^12 - 209*T1^9*T2^12 + 161*T1^10*T2^12 - 63*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 385] -> 
  {-((2 - 14*T + 38*T^2 - 53*T^3 + 38*T^4 - 14*T^5 + 2*T^6)/T^3), 
   (1 - 7*T1 + 19*T1^2 - 27*T1^3 + 19*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
     42*T1*T2 - 84*T1^2*T2 + 56*T1^3*T2 + 56*T1^4*T2 - 84*T1^5*T2 + 
     42*T1^6*T2 - 7*T1^7*T2 + 19*T2^2 - 84*T1*T2^2 + 61*T1^2*T2^2 + 
     187*T1^3*T2^2 - 453*T1^4*T2^2 + 187*T1^5*T2^2 + 61*T1^6*T2^2 - 
     84*T1^7*T2^2 + 19*T1^8*T2^2 - 27*T2^3 + 56*T1*T2^3 + 187*T1^2*T2^3 - 
     594*T1^3*T2^3 + 546*T1^4*T2^3 + 546*T1^5*T2^3 - 594*T1^6*T2^3 + 
     187*T1^7*T2^3 + 56*T1^8*T2^3 - 27*T1^9*T2^3 + 19*T2^4 + 56*T1*T2^4 - 
     453*T1^2*T2^4 + 546*T1^3*T2^4 + 241*T1^4*T2^4 - 1701*T1^5*T2^4 + 
     241*T1^6*T2^4 + 546*T1^7*T2^4 - 453*T1^8*T2^4 + 56*T1^9*T2^4 + 
     19*T1^10*T2^4 - 7*T2^5 - 84*T1*T2^5 + 187*T1^2*T2^5 + 546*T1^3*T2^5 - 
     1701*T1^4*T2^5 + 1850*T1^5*T2^5 + 1850*T1^6*T2^5 - 1701*T1^7*T2^5 + 
     546*T1^8*T2^5 + 187*T1^9*T2^5 - 84*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
     42*T1*T2^6 + 61*T1^2*T2^6 - 594*T1^3*T2^6 + 241*T1^4*T2^6 + 
     1850*T1^5*T2^6 - 5124*T1^6*T2^6 + 1850*T1^7*T2^6 + 241*T1^8*T2^6 - 
     594*T1^9*T2^6 + 61*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 7*T1*T2^7 - 
     84*T1^2*T2^7 + 187*T1^3*T2^7 + 546*T1^4*T2^7 - 1701*T1^5*T2^7 + 
     1850*T1^6*T2^7 + 1850*T1^7*T2^7 - 1701*T1^8*T2^7 + 546*T1^9*T2^7 + 
     187*T1^10*T2^7 - 84*T1^11*T2^7 - 7*T1^12*T2^7 + 19*T1^2*T2^8 + 
     56*T1^3*T2^8 - 453*T1^4*T2^8 + 546*T1^5*T2^8 + 241*T1^6*T2^8 - 
     1701*T1^7*T2^8 + 241*T1^8*T2^8 + 546*T1^9*T2^8 - 453*T1^10*T2^8 + 
     56*T1^11*T2^8 + 19*T1^12*T2^8 - 27*T1^3*T2^9 + 56*T1^4*T2^9 + 
     187*T1^5*T2^9 - 594*T1^6*T2^9 + 546*T1^7*T2^9 + 546*T1^8*T2^9 - 
     594*T1^9*T2^9 + 187*T1^10*T2^9 + 56*T1^11*T2^9 - 27*T1^12*T2^9 + 
     19*T1^4*T2^10 - 84*T1^5*T2^10 + 61*T1^6*T2^10 + 187*T1^7*T2^10 - 
     453*T1^8*T2^10 + 187*T1^9*T2^10 + 61*T1^10*T2^10 - 84*T1^11*T2^10 + 
     19*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 84*T1^7*T2^11 + 
     56*T1^8*T2^11 + 56*T1^9*T2^11 - 84*T1^10*T2^11 + 42*T1^11*T2^11 - 
     7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 19*T1^8*T2^12 - 
     27*T1^9*T2^12 + 19*T1^10*T2^12 - 7*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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 + 112*T1*T2 - 272*T1^2*T2 + 224*T1^3*T2 - 64*T1^4*T2 - 
      64*T1^5*T2 + 224*T1^6*T2 - 272*T1^7*T2 + 112*T1^8*T2 - 16*T1^9*T2 + 
      50*T2^2 - 272*T1*T2^2 + 275*T1^2*T2^2 + 854*T1^3*T2^2 - 
      1604*T1^4*T2^2 + 1621*T1^5*T2^2 - 1604*T1^6*T2^2 + 854*T1^7*T2^2 + 
      275*T1^8*T2^2 - 272*T1^9*T2^2 + 50*T1^10*T2^2 - 78*T2^3 + 224*T1*T2^3 + 
      854*T1^2*T2^3 - 3840*T1^3*T2^3 + 2917*T1^4*T2^3 - 543*T1^5*T2^3 - 
      543*T1^6*T2^3 + 2917*T1^7*T2^3 - 3840*T1^8*T2^3 + 854*T1^9*T2^3 + 
      224*T1^10*T2^3 - 78*T1^11*T2^3 + 86*T2^4 - 64*T1*T2^4 - 
      1604*T1^2*T2^4 + 2917*T1^3*T2^4 + 5487*T1^4*T2^4 - 10472*T1^5*T2^4 + 
      9791*T1^6*T2^4 - 10472*T1^7*T2^4 + 5487*T1^8*T2^4 + 2917*T1^9*T2^4 - 
      1604*T1^10*T2^4 - 64*T1^11*T2^4 + 86*T1^12*T2^4 - 78*T2^5 - 
      64*T1*T2^5 + 1621*T1^2*T2^5 - 543*T1^3*T2^5 - 10472*T1^4*T2^5 + 
      7730*T1^5*T2^5 - 565*T1^6*T2^5 - 565*T1^7*T2^5 + 7730*T1^8*T2^5 - 
      10472*T1^9*T2^5 - 543*T1^10*T2^5 + 1621*T1^11*T2^5 - 64*T1^12*T2^5 - 
      78*T1^13*T2^5 + 50*T2^6 + 224*T1*T2^6 - 1604*T1^2*T2^6 - 
      543*T1^3*T2^6 + 9791*T1^4*T2^6 - 565*T1^5*T2^6 - 4095*T1^6*T2^6 + 
      503*T1^7*T2^6 - 4095*T1^8*T2^6 - 565*T1^9*T2^6 + 9791*T1^10*T2^6 - 
      543*T1^11*T2^6 - 1604*T1^12*T2^6 + 224*T1^13*T2^6 + 50*T1^14*T2^6 - 
      16*T2^7 - 272*T1*T2^7 + 854*T1^2*T2^7 + 2917*T1^3*T2^7 - 
      10472*T1^4*T2^7 - 565*T1^5*T2^7 + 503*T1^6*T2^7 + 2722*T1^7*T2^7 + 
      2722*T1^8*T2^7 + 503*T1^9*T2^7 - 565*T1^10*T2^7 - 10472*T1^11*T2^7 + 
      2917*T1^12*T2^7 + 854*T1^13*T2^7 - 272*T1^14*T2^7 - 16*T1^15*T2^7 + 
      2*T2^8 + 112*T1*T2^8 + 275*T1^2*T2^8 - 3840*T1^3*T2^8 + 
      5487*T1^4*T2^8 + 7730*T1^5*T2^8 - 4095*T1^6*T2^8 + 2722*T1^7*T2^8 - 
      7536*T1^8*T2^8 + 2722*T1^9*T2^8 - 4095*T1^10*T2^8 + 7730*T1^11*T2^8 + 
      5487*T1^12*T2^8 - 3840*T1^13*T2^8 + 275*T1^14*T2^8 + 112*T1^15*T2^8 + 
      2*T1^16*T2^8 - 16*T1*T2^9 - 272*T1^2*T2^9 + 854*T1^3*T2^9 + 
      2917*T1^4*T2^9 - 10472*T1^5*T2^9 - 565*T1^6*T2^9 + 503*T1^7*T2^9 + 
      2722*T1^8*T2^9 + 2722*T1^9*T2^9 + 503*T1^10*T2^9 - 565*T1^11*T2^9 - 
      10472*T1^12*T2^9 + 2917*T1^13*T2^9 + 854*T1^14*T2^9 - 272*T1^15*T2^9 - 
      16*T1^16*T2^9 + 50*T1^2*T2^10 + 224*T1^3*T2^10 - 1604*T1^4*T2^10 - 
      543*T1^5*T2^10 + 9791*T1^6*T2^10 - 565*T1^7*T2^10 - 4095*T1^8*T2^10 + 
      503*T1^9*T2^10 - 4095*T1^10*T2^10 - 565*T1^11*T2^10 + 
      9791*T1^12*T2^10 - 543*T1^13*T2^10 - 1604*T1^14*T2^10 + 
      224*T1^15*T2^10 + 50*T1^16*T2^10 - 78*T1^3*T2^11 - 64*T1^4*T2^11 + 
      1621*T1^5*T2^11 - 543*T1^6*T2^11 - 10472*T1^7*T2^11 + 7730*T1^8*T2^11 - 
      565*T1^9*T2^11 - 565*T1^10*T2^11 + 7730*T1^11*T2^11 - 
      10472*T1^12*T2^11 - 543*T1^13*T2^11 + 1621*T1^14*T2^11 - 
      64*T1^15*T2^11 - 78*T1^16*T2^11 + 86*T1^4*T2^12 - 64*T1^5*T2^12 - 
      1604*T1^6*T2^12 + 2917*T1^7*T2^12 + 5487*T1^8*T2^12 - 
      10472*T1^9*T2^12 + 9791*T1^10*T2^12 - 10472*T1^11*T2^12 + 
      5487*T1^12*T2^12 + 2917*T1^13*T2^12 - 1604*T1^14*T2^12 - 
      64*T1^15*T2^12 + 86*T1^16*T2^12 - 78*T1^5*T2^13 + 224*T1^6*T2^13 + 
      854*T1^7*T2^13 - 3840*T1^8*T2^13 + 2917*T1^9*T2^13 - 543*T1^10*T2^13 - 
      543*T1^11*T2^13 + 2917*T1^12*T2^13 - 3840*T1^13*T2^13 + 
      854*T1^14*T2^13 + 224*T1^15*T2^13 - 78*T1^16*T2^13 + 50*T1^6*T2^14 - 
      272*T1^7*T2^14 + 275*T1^8*T2^14 + 854*T1^9*T2^14 - 1604*T1^10*T2^14 + 
      1621*T1^11*T2^14 - 1604*T1^12*T2^14 + 854*T1^13*T2^14 + 
      275*T1^14*T2^14 - 272*T1^15*T2^14 + 50*T1^16*T2^14 - 16*T1^7*T2^15 + 
      112*T1^8*T2^15 - 272*T1^9*T2^15 + 224*T1^10*T2^15 - 64*T1^11*T2^15 - 
      64*T1^12*T2^15 + 224*T1^13*T2^15 - 272*T1^14*T2^15 + 112*T1^15*T2^15 - 
      16*T1^16*T2^15 + 2*T1^8*T2^16 - 16*T1^9*T2^16 + 50*T1^10*T2^16 - 
      78*T1^11*T2^16 + 86*T1^12*T2^16 - 78*T1^13*T2^16 + 50*T1^14*T2^16 - 
      16*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   -((1 - 6*T1 + 17*T1^2 - 21*T1^3 + 17*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
      32*T1*T2 - 75*T1^2*T2 + 29*T1^3*T2 + 29*T1^4*T2 - 75*T1^5*T2 + 
      32*T1^6*T2 - 6*T1^7*T2 + 17*T2^2 - 75*T1*T2^2 + 90*T1^2*T2^2 + 
      274*T1^3*T2^2 - 370*T1^4*T2^2 + 274*T1^5*T2^2 + 90*T1^6*T2^2 - 
      75*T1^7*T2^2 + 17*T1^8*T2^2 - 21*T2^3 + 29*T1*T2^3 + 274*T1^2*T2^3 - 
      1132*T1^3*T2^3 + 412*T1^4*T2^3 + 412*T1^5*T2^3 - 1132*T1^6*T2^3 + 
      274*T1^7*T2^3 + 29*T1^8*T2^3 - 21*T1^9*T2^3 + 17*T2^4 + 29*T1*T2^4 - 
      370*T1^2*T2^4 + 412*T1^3*T2^4 + 2522*T1^4*T2^4 - 3120*T1^5*T2^4 + 
      2522*T1^6*T2^4 + 412*T1^7*T2^4 - 370*T1^8*T2^4 + 29*T1^9*T2^4 + 
      17*T1^10*T2^4 - 6*T2^5 - 75*T1*T2^5 + 274*T1^2*T2^5 + 412*T1^3*T2^5 - 
      3120*T1^4*T2^5 + 768*T1^5*T2^5 + 768*T1^6*T2^5 - 3120*T1^7*T2^5 + 
      412*T1^8*T2^5 + 274*T1^9*T2^5 - 75*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
      32*T1*T2^6 + 90*T1^2*T2^6 - 1132*T1^3*T2^6 + 2522*T1^4*T2^6 + 
      768*T1^5*T2^6 - 432*T1^6*T2^6 + 768*T1^7*T2^6 + 2522*T1^8*T2^6 - 
      1132*T1^9*T2^6 + 90*T1^10*T2^6 + 32*T1^11*T2^6 + T1^12*T2^6 - 
      6*T1*T2^7 - 75*T1^2*T2^7 + 274*T1^3*T2^7 + 412*T1^4*T2^7 - 
      3120*T1^5*T2^7 + 768*T1^6*T2^7 + 768*T1^7*T2^7 - 3120*T1^8*T2^7 + 
      412*T1^9*T2^7 + 274*T1^10*T2^7 - 75*T1^11*T2^7 - 6*T1^12*T2^7 + 
      17*T1^2*T2^8 + 29*T1^3*T2^8 - 370*T1^4*T2^8 + 412*T1^5*T2^8 + 
      2522*T1^6*T2^8 - 3120*T1^7*T2^8 + 2522*T1^8*T2^8 + 412*T1^9*T2^8 - 
      370*T1^10*T2^8 + 29*T1^11*T2^8 + 17*T1^12*T2^8 - 21*T1^3*T2^9 + 
      29*T1^4*T2^9 + 274*T1^5*T2^9 - 1132*T1^6*T2^9 + 412*T1^7*T2^9 + 
      412*T1^8*T2^9 - 1132*T1^9*T2^9 + 274*T1^10*T2^9 + 29*T1^11*T2^9 - 
      21*T1^12*T2^9 + 17*T1^4*T2^10 - 75*T1^5*T2^10 + 90*T1^6*T2^10 + 
      274*T1^7*T2^10 - 370*T1^8*T2^10 + 274*T1^9*T2^10 + 90*T1^10*T2^10 - 
      75*T1^11*T2^10 + 17*T1^12*T2^10 - 6*T1^5*T2^11 + 32*T1^6*T2^11 - 
      75*T1^7*T2^11 + 29*T1^8*T2^11 + 29*T1^9*T2^11 - 75*T1^10*T2^11 + 
      32*T1^11*T2^11 - 6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 
      17*T1^8*T2^12 - 21*T1^9*T2^12 + 17*T1^10*T2^12 - 6*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   -((1 - 7*T1 + 17*T1^2 - 23*T1^3 + 17*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 70*T1^2*T2 + 40*T1^3*T2 + 40*T1^4*T2 - 70*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 17*T2^2 - 70*T1*T2^2 - 34*T1^2*T2^2 + 
      312*T1^3*T2^2 - 494*T1^4*T2^2 + 312*T1^5*T2^2 - 34*T1^6*T2^2 - 
      70*T1^7*T2^2 + 17*T1^8*T2^2 - 23*T2^3 + 40*T1*T2^3 + 312*T1^2*T2^3 - 
      628*T1^3*T2^3 + 359*T1^4*T2^3 + 359*T1^5*T2^3 - 628*T1^6*T2^3 + 
      312*T1^7*T2^3 + 40*T1^8*T2^3 - 23*T1^9*T2^3 + 17*T2^4 + 40*T1*T2^4 - 
      494*T1^2*T2^4 + 359*T1^3*T2^4 + 438*T1^4*T2^4 - 958*T1^5*T2^4 + 
      438*T1^6*T2^4 + 359*T1^7*T2^4 - 494*T1^8*T2^4 + 40*T1^9*T2^4 + 
      17*T1^10*T2^4 - 7*T2^5 - 70*T1*T2^5 + 312*T1^2*T2^5 + 359*T1^3*T2^5 - 
      958*T1^4*T2^5 + 544*T1^5*T2^5 + 544*T1^6*T2^5 - 958*T1^7*T2^5 + 
      359*T1^8*T2^5 + 312*T1^9*T2^5 - 70*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 - 34*T1^2*T2^6 - 628*T1^3*T2^6 + 438*T1^4*T2^6 + 
      544*T1^5*T2^6 - 1140*T1^6*T2^6 + 544*T1^7*T2^6 + 438*T1^8*T2^6 - 
      628*T1^9*T2^6 - 34*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 70*T1^2*T2^7 + 312*T1^3*T2^7 + 359*T1^4*T2^7 - 
      958*T1^5*T2^7 + 544*T1^6*T2^7 + 544*T1^7*T2^7 - 958*T1^8*T2^7 + 
      359*T1^9*T2^7 + 312*T1^10*T2^7 - 70*T1^11*T2^7 - 7*T1^12*T2^7 + 
      17*T1^2*T2^8 + 40*T1^3*T2^8 - 494*T1^4*T2^8 + 359*T1^5*T2^8 + 
      438*T1^6*T2^8 - 958*T1^7*T2^8 + 438*T1^8*T2^8 + 359*T1^9*T2^8 - 
      494*T1^10*T2^8 + 40*T1^11*T2^8 + 17*T1^12*T2^8 - 23*T1^3*T2^9 + 
      40*T1^4*T2^9 + 312*T1^5*T2^9 - 628*T1^6*T2^9 + 359*T1^7*T2^9 + 
      359*T1^8*T2^9 - 628*T1^9*T2^9 + 312*T1^10*T2^9 + 40*T1^11*T2^9 - 
      23*T1^12*T2^9 + 17*T1^4*T2^10 - 70*T1^5*T2^10 - 34*T1^6*T2^10 + 
      312*T1^7*T2^10 - 494*T1^8*T2^10 + 312*T1^9*T2^10 - 34*T1^10*T2^10 - 
      70*T1^11*T2^10 + 17*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      70*T1^7*T2^11 + 40*T1^8*T2^11 + 40*T1^9*T2^11 - 70*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      17*T1^8*T2^12 - 23*T1^9*T2^12 + 17*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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), (1 - 9*T1 + 33*T1^2 - 70*T1^3 + 89*T1^4 - 70*T1^5 + 33*T1^6 - 
     9*T1^7 + T1^8 - 9*T2 + 72*T1*T2 - 216*T1^2*T2 + 333*T1^3*T2 - 
     171*T1^4*T2 - 171*T1^5*T2 + 333*T1^6*T2 - 216*T1^7*T2 + 72*T1^8*T2 - 
     9*T1^9*T2 + 33*T2^2 - 216*T1*T2^2 + 400*T1^2*T2^2 + 34*T1^3*T2^2 - 
     1572*T1^4*T2^2 + 2496*T1^5*T2^2 - 1572*T1^6*T2^2 + 34*T1^7*T2^2 + 
     400*T1^8*T2^2 - 216*T1^9*T2^2 + 33*T1^10*T2^2 - 70*T2^3 + 333*T1*T2^3 + 
     34*T1^2*T2^3 - 2188*T1^3*T2^3 + 5229*T1^4*T2^3 - 2975*T1^5*T2^3 - 
     2975*T1^6*T2^3 + 5229*T1^7*T2^3 - 2188*T1^8*T2^3 + 34*T1^9*T2^3 + 
     333*T1^10*T2^3 - 70*T1^11*T2^3 + 89*T2^4 - 171*T1*T2^4 - 
     1572*T1^2*T2^4 + 5229*T1^3*T2^4 - 5704*T1^4*T2^4 - 6399*T1^5*T2^4 + 
     14570*T1^6*T2^4 - 6399*T1^7*T2^4 - 5704*T1^8*T2^4 + 5229*T1^9*T2^4 - 
     1572*T1^10*T2^4 - 171*T1^11*T2^4 + 89*T1^12*T2^4 - 70*T2^5 - 
     171*T1*T2^5 + 2496*T1^2*T2^5 - 2975*T1^3*T2^5 - 6399*T1^4*T2^5 + 
     26334*T1^5*T2^5 - 16118*T1^6*T2^5 - 16118*T1^7*T2^5 + 26334*T1^8*T2^5 - 
     6399*T1^9*T2^5 - 2975*T1^10*T2^5 + 2496*T1^11*T2^5 - 171*T1^12*T2^5 - 
     70*T1^13*T2^5 + 33*T2^6 + 333*T1*T2^6 - 1572*T1^2*T2^6 - 
     2975*T1^3*T2^6 + 14570*T1^4*T2^6 - 16118*T1^5*T2^6 - 33495*T1^6*T2^6 + 
     66827*T1^7*T2^6 - 33495*T1^8*T2^6 - 16118*T1^9*T2^6 + 14570*T1^10*T2^6 - 
     2975*T1^11*T2^6 - 1572*T1^12*T2^6 + 333*T1^13*T2^6 + 33*T1^14*T2^6 - 
     9*T2^7 - 216*T1*T2^7 + 34*T1^2*T2^7 + 5229*T1^3*T2^7 - 6399*T1^4*T2^7 - 
     16118*T1^5*T2^7 + 66827*T1^6*T2^7 - 40952*T1^7*T2^7 - 40952*T1^8*T2^7 + 
     66827*T1^9*T2^7 - 16118*T1^10*T2^7 - 6399*T1^11*T2^7 + 5229*T1^12*T2^7 + 
     34*T1^13*T2^7 - 216*T1^14*T2^7 - 9*T1^15*T2^7 + T2^8 + 72*T1*T2^8 + 
     400*T1^2*T2^8 - 2188*T1^3*T2^8 - 5704*T1^4*T2^8 + 26334*T1^5*T2^8 - 
     33495*T1^6*T2^8 - 40952*T1^7*T2^8 + 92112*T1^8*T2^8 - 40952*T1^9*T2^8 - 
     33495*T1^10*T2^8 + 26334*T1^11*T2^8 - 5704*T1^12*T2^8 - 
     2188*T1^13*T2^8 + 400*T1^14*T2^8 + 72*T1^15*T2^8 + T1^16*T2^8 - 
     9*T1*T2^9 - 216*T1^2*T2^9 + 34*T1^3*T2^9 + 5229*T1^4*T2^9 - 
     6399*T1^5*T2^9 - 16118*T1^6*T2^9 + 66827*T1^7*T2^9 - 40952*T1^8*T2^9 - 
     40952*T1^9*T2^9 + 66827*T1^10*T2^9 - 16118*T1^11*T2^9 - 
     6399*T1^12*T2^9 + 5229*T1^13*T2^9 + 34*T1^14*T2^9 - 216*T1^15*T2^9 - 
     9*T1^16*T2^9 + 33*T1^2*T2^10 + 333*T1^3*T2^10 - 1572*T1^4*T2^10 - 
     2975*T1^5*T2^10 + 14570*T1^6*T2^10 - 16118*T1^7*T2^10 - 
     33495*T1^8*T2^10 + 66827*T1^9*T2^10 - 33495*T1^10*T2^10 - 
     16118*T1^11*T2^10 + 14570*T1^12*T2^10 - 2975*T1^13*T2^10 - 
     1572*T1^14*T2^10 + 333*T1^15*T2^10 + 33*T1^16*T2^10 - 70*T1^3*T2^11 - 
     171*T1^4*T2^11 + 2496*T1^5*T2^11 - 2975*T1^6*T2^11 - 6399*T1^7*T2^11 + 
     26334*T1^8*T2^11 - 16118*T1^9*T2^11 - 16118*T1^10*T2^11 + 
     26334*T1^11*T2^11 - 6399*T1^12*T2^11 - 2975*T1^13*T2^11 + 
     2496*T1^14*T2^11 - 171*T1^15*T2^11 - 70*T1^16*T2^11 + 89*T1^4*T2^12 - 
     171*T1^5*T2^12 - 1572*T1^6*T2^12 + 5229*T1^7*T2^12 - 5704*T1^8*T2^12 - 
     6399*T1^9*T2^12 + 14570*T1^10*T2^12 - 6399*T1^11*T2^12 - 
     5704*T1^12*T2^12 + 5229*T1^13*T2^12 - 1572*T1^14*T2^12 - 
     171*T1^15*T2^12 + 89*T1^16*T2^12 - 70*T1^5*T2^13 + 333*T1^6*T2^13 + 
     34*T1^7*T2^13 - 2188*T1^8*T2^13 + 5229*T1^9*T2^13 - 2975*T1^10*T2^13 - 
     2975*T1^11*T2^13 + 5229*T1^12*T2^13 - 2188*T1^13*T2^13 + 
     34*T1^14*T2^13 + 333*T1^15*T2^13 - 70*T1^16*T2^13 + 33*T1^6*T2^14 - 
     216*T1^7*T2^14 + 400*T1^8*T2^14 + 34*T1^9*T2^14 - 1572*T1^10*T2^14 + 
     2496*T1^11*T2^14 - 1572*T1^12*T2^14 + 34*T1^13*T2^14 + 400*T1^14*T2^14 - 
     216*T1^15*T2^14 + 33*T1^16*T2^14 - 9*T1^7*T2^15 + 72*T1^8*T2^15 - 
     216*T1^9*T2^15 + 333*T1^10*T2^15 - 171*T1^11*T2^15 - 171*T1^12*T2^15 + 
     333*T1^13*T2^15 - 216*T1^14*T2^15 + 72*T1^15*T2^15 - 9*T1^16*T2^15 + 
     T1^8*T2^16 - 9*T1^9*T2^16 + 33*T1^10*T2^16 - 70*T1^11*T2^16 + 
     89*T1^12*T2^16 - 70*T1^13*T2^16 + 33*T1^14*T2^16 - 9*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, Knot[12, Alternating, 390] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)^3)/T^4), 
   -((9 - 48*T1 + 123*T1^2 - 208*T1^3 + 243*T1^4 - 208*T1^5 + 123*T1^6 - 
      48*T1^7 + 9*T1^8 - 48*T2 + 210*T1*T2 - 408*T1^2*T2 + 465*T1^3*T2 - 
      193*T1^4*T2 - 193*T1^5*T2 + 465*T1^6*T2 - 408*T1^7*T2 + 210*T1^8*T2 - 
      48*T1^9*T2 + 123*T2^2 - 408*T1*T2^2 + 458*T1^2*T2^2 + 5*T1^3*T2^2 - 
      981*T1^4*T2^2 + 1338*T1^5*T2^2 - 981*T1^6*T2^2 + 5*T1^7*T2^2 + 
      458*T1^8*T2^2 - 408*T1^9*T2^2 + 123*T1^10*T2^2 - 208*T2^3 + 
      465*T1*T2^3 + 5*T1^2*T2^3 - 978*T1^3*T2^3 + 1902*T1^4*T2^3 - 
      727*T1^5*T2^3 - 727*T1^6*T2^3 + 1902*T1^7*T2^3 - 978*T1^8*T2^3 + 
      5*T1^9*T2^3 + 465*T1^10*T2^3 - 208*T1^11*T2^3 + 243*T2^4 - 
      193*T1*T2^4 - 981*T1^2*T2^4 + 1902*T1^3*T2^4 - 1989*T1^4*T2^4 - 
      768*T1^5*T2^4 + 1245*T1^6*T2^4 - 768*T1^7*T2^4 - 1989*T1^8*T2^4 + 
      1902*T1^9*T2^4 - 981*T1^10*T2^4 - 193*T1^11*T2^4 + 243*T1^12*T2^4 - 
      208*T2^5 - 193*T1*T2^5 + 1338*T1^2*T2^5 - 727*T1^3*T2^5 - 
      768*T1^4*T2^5 + 3960*T1^5*T2^5 - 1100*T1^6*T2^5 - 1100*T1^7*T2^5 + 
      3960*T1^8*T2^5 - 768*T1^9*T2^5 - 727*T1^10*T2^5 + 1338*T1^11*T2^5 - 
      193*T1^12*T2^5 - 208*T1^13*T2^5 + 123*T2^6 + 465*T1*T2^6 - 
      981*T1^2*T2^6 - 727*T1^3*T2^6 + 1245*T1^4*T2^6 - 1100*T1^5*T2^6 - 
      6140*T1^6*T2^6 + 6882*T1^7*T2^6 - 6140*T1^8*T2^6 - 1100*T1^9*T2^6 + 
      1245*T1^10*T2^6 - 727*T1^11*T2^6 - 981*T1^12*T2^6 + 465*T1^13*T2^6 + 
      123*T1^14*T2^6 - 48*T2^7 - 408*T1*T2^7 + 5*T1^2*T2^7 + 1902*T1^3*T2^7 - 
      768*T1^4*T2^7 - 1100*T1^5*T2^7 + 6882*T1^6*T2^7 - 1638*T1^7*T2^7 - 
      1638*T1^8*T2^7 + 6882*T1^9*T2^7 - 1100*T1^10*T2^7 - 768*T1^11*T2^7 + 
      1902*T1^12*T2^7 + 5*T1^13*T2^7 - 408*T1^14*T2^7 - 48*T1^15*T2^7 + 
      9*T2^8 + 210*T1*T2^8 + 458*T1^2*T2^8 - 978*T1^3*T2^8 - 1989*T1^4*T2^8 + 
      3960*T1^5*T2^8 - 6140*T1^6*T2^8 - 1638*T1^7*T2^8 + 1656*T1^8*T2^8 - 
      1638*T1^9*T2^8 - 6140*T1^10*T2^8 + 3960*T1^11*T2^8 - 1989*T1^12*T2^8 - 
      978*T1^13*T2^8 + 458*T1^14*T2^8 + 210*T1^15*T2^8 + 9*T1^16*T2^8 - 
      48*T1*T2^9 - 408*T1^2*T2^9 + 5*T1^3*T2^9 + 1902*T1^4*T2^9 - 
      768*T1^5*T2^9 - 1100*T1^6*T2^9 + 6882*T1^7*T2^9 - 1638*T1^8*T2^9 - 
      1638*T1^9*T2^9 + 6882*T1^10*T2^9 - 1100*T1^11*T2^9 - 768*T1^12*T2^9 + 
      1902*T1^13*T2^9 + 5*T1^14*T2^9 - 408*T1^15*T2^9 - 48*T1^16*T2^9 + 
      123*T1^2*T2^10 + 465*T1^3*T2^10 - 981*T1^4*T2^10 - 727*T1^5*T2^10 + 
      1245*T1^6*T2^10 - 1100*T1^7*T2^10 - 6140*T1^8*T2^10 + 6882*T1^9*T2^10 - 
      6140*T1^10*T2^10 - 1100*T1^11*T2^10 + 1245*T1^12*T2^10 - 
      727*T1^13*T2^10 - 981*T1^14*T2^10 + 465*T1^15*T2^10 + 123*T1^16*T2^10 - 
      208*T1^3*T2^11 - 193*T1^4*T2^11 + 1338*T1^5*T2^11 - 727*T1^6*T2^11 - 
      768*T1^7*T2^11 + 3960*T1^8*T2^11 - 1100*T1^9*T2^11 - 1100*T1^10*T2^11 + 
      3960*T1^11*T2^11 - 768*T1^12*T2^11 - 727*T1^13*T2^11 + 
      1338*T1^14*T2^11 - 193*T1^15*T2^11 - 208*T1^16*T2^11 + 243*T1^4*T2^12 - 
      193*T1^5*T2^12 - 981*T1^6*T2^12 + 1902*T1^7*T2^12 - 1989*T1^8*T2^12 - 
      768*T1^9*T2^12 + 1245*T1^10*T2^12 - 768*T1^11*T2^12 - 
      1989*T1^12*T2^12 + 1902*T1^13*T2^12 - 981*T1^14*T2^12 - 
      193*T1^15*T2^12 + 243*T1^16*T2^12 - 208*T1^5*T2^13 + 465*T1^6*T2^13 + 
      5*T1^7*T2^13 - 978*T1^8*T2^13 + 1902*T1^9*T2^13 - 727*T1^10*T2^13 - 
      727*T1^11*T2^13 + 1902*T1^12*T2^13 - 978*T1^13*T2^13 + 5*T1^14*T2^13 + 
      465*T1^15*T2^13 - 208*T1^16*T2^13 + 123*T1^6*T2^14 - 408*T1^7*T2^14 + 
      458*T1^8*T2^14 + 5*T1^9*T2^14 - 981*T1^10*T2^14 + 1338*T1^11*T2^14 - 
      981*T1^12*T2^14 + 5*T1^13*T2^14 + 458*T1^14*T2^14 - 408*T1^15*T2^14 + 
      123*T1^16*T2^14 - 48*T1^7*T2^15 + 210*T1^8*T2^15 - 408*T1^9*T2^15 + 
      465*T1^10*T2^15 - 193*T1^11*T2^15 - 193*T1^12*T2^15 + 465*T1^13*T2^15 - 
      408*T1^14*T2^15 + 210*T1^15*T2^15 - 48*T1^16*T2^15 + 9*T1^8*T2^16 - 
      48*T1^9*T2^16 + 123*T1^10*T2^16 - 208*T1^11*T2^16 + 243*T1^12*T2^16 - 
      208*T1^13*T2^16 + 123*T1^14*T2^16 - 48*T1^15*T2^16 + 9*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 391] -> 
  {(7 - 23*T + 40*T^2 - 47*T^3 + 40*T^4 - 23*T^5 + 7*T^6)/T^3, 
   (1120 - 3602*T1 + 6196*T1^2 - 7250*T1^3 + 6196*T1^4 - 3602*T1^5 + 
     1120*T1^6 - 3602*T2 + 8040*T1*T2 - 8439*T1^2*T2 + 3440*T1^3*T2 + 
     3440*T1^4*T2 - 8439*T1^5*T2 + 8040*T1^6*T2 - 3602*T1^7*T2 + 6196*T2^2 - 
     8439*T1*T2^2 + 2676*T1^2*T2^2 + 5778*T1^3*T2^2 - 8804*T1^4*T2^2 + 
     5778*T1^5*T2^2 + 2676*T1^6*T2^2 - 8439*T1^7*T2^2 + 6196*T1^8*T2^2 - 
     7250*T2^3 + 3440*T1*T2^3 + 5778*T1^2*T2^3 - 9554*T1^3*T2^3 + 
     3625*T1^4*T2^3 + 3625*T1^5*T2^3 - 9554*T1^6*T2^3 + 5778*T1^7*T2^3 + 
     3440*T1^8*T2^3 - 7250*T1^9*T2^3 + 6196*T2^4 + 3440*T1*T2^4 - 
     8804*T1^2*T2^4 + 3625*T1^3*T2^4 + 6615*T1^4*T2^4 - 8987*T1^5*T2^4 + 
     6615*T1^6*T2^4 + 3625*T1^7*T2^4 - 8804*T1^8*T2^4 + 3440*T1^9*T2^4 + 
     6196*T1^10*T2^4 - 3602*T2^5 - 8439*T1*T2^5 + 5778*T1^2*T2^5 + 
     3625*T1^3*T2^5 - 8987*T1^4*T2^5 + 2870*T1^5*T2^5 + 2870*T1^6*T2^5 - 
     8987*T1^7*T2^5 + 3625*T1^8*T2^5 + 5778*T1^9*T2^5 - 8439*T1^10*T2^5 - 
     3602*T1^11*T2^5 + 1120*T2^6 + 8040*T1*T2^6 + 2676*T1^2*T2^6 - 
     9554*T1^3*T2^6 + 6615*T1^4*T2^6 + 2870*T1^5*T2^6 - 4332*T1^6*T2^6 + 
     2870*T1^7*T2^6 + 6615*T1^8*T2^6 - 9554*T1^9*T2^6 + 2676*T1^10*T2^6 + 
     8040*T1^11*T2^6 + 1120*T1^12*T2^6 - 3602*T1*T2^7 - 8439*T1^2*T2^7 + 
     5778*T1^3*T2^7 + 3625*T1^4*T2^7 - 8987*T1^5*T2^7 + 2870*T1^6*T2^7 + 
     2870*T1^7*T2^7 - 8987*T1^8*T2^7 + 3625*T1^9*T2^7 + 5778*T1^10*T2^7 - 
     8439*T1^11*T2^7 - 3602*T1^12*T2^7 + 6196*T1^2*T2^8 + 3440*T1^3*T2^8 - 
     8804*T1^4*T2^8 + 3625*T1^5*T2^8 + 6615*T1^6*T2^8 - 8987*T1^7*T2^8 + 
     6615*T1^8*T2^8 + 3625*T1^9*T2^8 - 8804*T1^10*T2^8 + 3440*T1^11*T2^8 + 
     6196*T1^12*T2^8 - 7250*T1^3*T2^9 + 3440*T1^4*T2^9 + 5778*T1^5*T2^9 - 
     9554*T1^6*T2^9 + 3625*T1^7*T2^9 + 3625*T1^8*T2^9 - 9554*T1^9*T2^9 + 
     5778*T1^10*T2^9 + 3440*T1^11*T2^9 - 7250*T1^12*T2^9 + 6196*T1^4*T2^10 - 
     8439*T1^5*T2^10 + 2676*T1^6*T2^10 + 5778*T1^7*T2^10 - 8804*T1^8*T2^10 + 
     5778*T1^9*T2^10 + 2676*T1^10*T2^10 - 8439*T1^11*T2^10 + 
     6196*T1^12*T2^10 - 3602*T1^5*T2^11 + 8040*T1^6*T2^11 - 8439*T1^7*T2^11 + 
     3440*T1^8*T2^11 + 3440*T1^9*T2^11 - 8439*T1^10*T2^11 + 
     8040*T1^11*T2^11 - 3602*T1^12*T2^11 + 1120*T1^6*T2^12 - 
     3602*T1^7*T2^12 + 6196*T1^8*T2^12 - 7250*T1^9*T2^12 + 6196*T1^10*T2^12 - 
     3602*T1^11*T2^12 + 1120*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 392] -> {(12 - 38*T + 53*T^2 - 38*T^3 + 12*T^4)/T^2, 
   (4284 - 13302*T1 + 18462*T1^2 - 13302*T1^3 + 4284*T1^4 - 13302*T2 + 
     28146*T1*T2 - 16142*T1^2*T2 - 16142*T1^3*T2 + 28146*T1^4*T2 - 
     13302*T1^5*T2 + 18462*T2^2 - 16142*T1*T2^2 - 31633*T1^2*T2^2 + 
     66081*T1^3*T2^2 - 31633*T1^4*T2^2 - 16142*T1^5*T2^2 + 18462*T1^6*T2^2 - 
     13302*T2^3 - 16142*T1*T2^3 + 66081*T1^2*T2^3 - 43244*T1^3*T2^3 - 
     43244*T1^4*T2^3 + 66081*T1^5*T2^3 - 16142*T1^6*T2^3 - 13302*T1^7*T2^3 + 
     4284*T2^4 + 28146*T1*T2^4 - 31633*T1^2*T2^4 - 43244*T1^3*T2^4 + 
     100752*T1^4*T2^4 - 43244*T1^5*T2^4 - 31633*T1^6*T2^4 + 28146*T1^7*T2^4 + 
     4284*T1^8*T2^4 - 13302*T1*T2^5 - 16142*T1^2*T2^5 + 66081*T1^3*T2^5 - 
     43244*T1^4*T2^5 - 43244*T1^5*T2^5 + 66081*T1^6*T2^5 - 16142*T1^7*T2^5 - 
     13302*T1^8*T2^5 + 18462*T1^2*T2^6 - 16142*T1^3*T2^6 - 31633*T1^4*T2^6 + 
     66081*T1^5*T2^6 - 31633*T1^6*T2^6 - 16142*T1^7*T2^6 + 18462*T1^8*T2^6 - 
     13302*T1^3*T2^7 + 28146*T1^4*T2^7 - 16142*T1^5*T2^7 - 16142*T1^6*T2^7 + 
     28146*T1^7*T2^7 - 13302*T1^8*T2^7 + 4284*T1^4*T2^8 - 13302*T1^5*T2^8 + 
     18462*T1^6*T2^8 - 13302*T1^7*T2^8 + 4284*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, Alternating, 393] -> 
  {-(((1 - T + T^2)*(5 - 22*T + 33*T^2 - 22*T^3 + 5*T^4))/T^3), 
   -((270 - 1430*T1 + 3122*T1^2 - 3986*T1^3 + 3122*T1^4 - 1430*T1^5 + 
      270*T1^6 - 1430*T2 + 6168*T1*T2 - 9039*T1^2*T2 + 4623*T1^3*T2 + 
      4623*T1^4*T2 - 9039*T1^5*T2 + 6168*T1^6*T2 - 1430*T1^7*T2 + 3122*T2^2 - 
      9039*T1*T2^2 - 747*T1^2*T2^2 + 25364*T1^3*T2^2 - 40409*T1^4*T2^2 + 
      25364*T1^5*T2^2 - 747*T1^6*T2^2 - 9039*T1^7*T2^2 + 3122*T1^8*T2^2 - 
      3986*T2^3 + 4623*T1*T2^3 + 25364*T1^2*T2^3 - 51038*T1^3*T2^3 + 
      29342*T1^4*T2^3 + 29342*T1^5*T2^3 - 51038*T1^6*T2^3 + 25364*T1^7*T2^3 + 
      4623*T1^8*T2^3 - 3986*T1^9*T2^3 + 3122*T2^4 + 4623*T1*T2^4 - 
      40409*T1^2*T2^4 + 29342*T1^3*T2^4 + 38561*T1^4*T2^4 - 87627*T1^5*T2^4 + 
      38561*T1^6*T2^4 + 29342*T1^7*T2^4 - 40409*T1^8*T2^4 + 4623*T1^9*T2^4 + 
      3122*T1^10*T2^4 - 1430*T2^5 - 9039*T1*T2^5 + 25364*T1^2*T2^5 + 
      29342*T1^3*T2^5 - 87627*T1^4*T2^5 + 56076*T1^5*T2^5 + 56076*T1^6*T2^5 - 
      87627*T1^7*T2^5 + 29342*T1^8*T2^5 + 25364*T1^9*T2^5 - 9039*T1^10*T2^5 - 
      1430*T1^11*T2^5 + 270*T2^6 + 6168*T1*T2^6 - 747*T1^2*T2^6 - 
      51038*T1^3*T2^6 + 38561*T1^4*T2^6 + 56076*T1^5*T2^6 - 
      127392*T1^6*T2^6 + 56076*T1^7*T2^6 + 38561*T1^8*T2^6 - 
      51038*T1^9*T2^6 - 747*T1^10*T2^6 + 6168*T1^11*T2^6 + 270*T1^12*T2^6 - 
      1430*T1*T2^7 - 9039*T1^2*T2^7 + 25364*T1^3*T2^7 + 29342*T1^4*T2^7 - 
      87627*T1^5*T2^7 + 56076*T1^6*T2^7 + 56076*T1^7*T2^7 - 87627*T1^8*T2^7 + 
      29342*T1^9*T2^7 + 25364*T1^10*T2^7 - 9039*T1^11*T2^7 - 
      1430*T1^12*T2^7 + 3122*T1^2*T2^8 + 4623*T1^3*T2^8 - 40409*T1^4*T2^8 + 
      29342*T1^5*T2^8 + 38561*T1^6*T2^8 - 87627*T1^7*T2^8 + 38561*T1^8*T2^8 + 
      29342*T1^9*T2^8 - 40409*T1^10*T2^8 + 4623*T1^11*T2^8 + 
      3122*T1^12*T2^8 - 3986*T1^3*T2^9 + 4623*T1^4*T2^9 + 25364*T1^5*T2^9 - 
      51038*T1^6*T2^9 + 29342*T1^7*T2^9 + 29342*T1^8*T2^9 - 51038*T1^9*T2^9 + 
      25364*T1^10*T2^9 + 4623*T1^11*T2^9 - 3986*T1^12*T2^9 + 
      3122*T1^4*T2^10 - 9039*T1^5*T2^10 - 747*T1^6*T2^10 + 25364*T1^7*T2^10 - 
      40409*T1^8*T2^10 + 25364*T1^9*T2^10 - 747*T1^10*T2^10 - 
      9039*T1^11*T2^10 + 3122*T1^12*T2^10 - 1430*T1^5*T2^11 + 
      6168*T1^6*T2^11 - 9039*T1^7*T2^11 + 4623*T1^8*T2^11 + 4623*T1^9*T2^11 - 
      9039*T1^10*T2^11 + 6168*T1^11*T2^11 - 1430*T1^12*T2^11 + 
      270*T1^6*T2^12 - 1430*T1^7*T2^12 + 3122*T1^8*T2^12 - 3986*T1^9*T2^12 + 
      3122*T1^10*T2^12 - 1430*T1^11*T2^12 + 270*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, -((17 - 75*T1 + 190*T1^2 - 295*T1^3 + 335*T1^4 - 295*T1^5 + 
      190*T1^6 - 75*T1^7 + 17*T1^8 - 75*T2 + 256*T1*T2 - 507*T1^2*T2 + 
      464*T1^3*T2 - 177*T1^4*T2 - 177*T1^5*T2 + 464*T1^6*T2 - 507*T1^7*T2 + 
      256*T1^8*T2 - 75*T1^9*T2 + 190*T2^2 - 507*T1*T2^2 + 838*T1^2*T2^2 - 
      378*T1^3*T2^2 - 20*T1^4*T2^2 + 114*T1^5*T2^2 - 20*T1^6*T2^2 - 
      378*T1^7*T2^2 + 838*T1^8*T2^2 - 507*T1^9*T2^2 + 190*T1^10*T2^2 - 
      295*T2^3 + 464*T1*T2^3 - 378*T1^2*T2^3 - 1022*T1^3*T2^3 + 
      990*T1^4*T2^3 - 309*T1^5*T2^3 - 309*T1^6*T2^3 + 990*T1^7*T2^3 - 
      1022*T1^8*T2^3 - 378*T1^9*T2^3 + 464*T1^10*T2^3 - 295*T1^11*T2^3 + 
      335*T2^4 - 177*T1*T2^4 - 20*T1^2*T2^4 + 990*T1^3*T2^4 + 
      1841*T1^4*T2^4 - 3941*T1^5*T2^4 + 4423*T1^6*T2^4 - 3941*T1^7*T2^4 + 
      1841*T1^8*T2^4 + 990*T1^9*T2^4 - 20*T1^10*T2^4 - 177*T1^11*T2^4 + 
      335*T1^12*T2^4 - 295*T2^5 - 177*T1*T2^5 + 114*T1^2*T2^5 - 
      309*T1^3*T2^5 - 3941*T1^4*T2^5 + 3564*T1^5*T2^5 - 1147*T1^6*T2^5 - 
      1147*T1^7*T2^5 + 3564*T1^8*T2^5 - 3941*T1^9*T2^5 - 309*T1^10*T2^5 + 
      114*T1^11*T2^5 - 177*T1^12*T2^5 - 295*T1^13*T2^5 + 190*T2^6 + 
      464*T1*T2^6 - 20*T1^2*T2^6 - 309*T1^3*T2^6 + 4423*T1^4*T2^6 - 
      1147*T1^5*T2^6 - 1085*T1^6*T2^6 + 1325*T1^7*T2^6 - 1085*T1^8*T2^6 - 
      1147*T1^9*T2^6 + 4423*T1^10*T2^6 - 309*T1^11*T2^6 - 20*T1^12*T2^6 + 
      464*T1^13*T2^6 + 190*T1^14*T2^6 - 75*T2^7 - 507*T1*T2^7 - 
      378*T1^2*T2^7 + 990*T1^3*T2^7 - 3941*T1^4*T2^7 - 1147*T1^5*T2^7 + 
      1325*T1^6*T2^7 - 184*T1^7*T2^7 - 184*T1^8*T2^7 + 1325*T1^9*T2^7 - 
      1147*T1^10*T2^7 - 3941*T1^11*T2^7 + 990*T1^12*T2^7 - 378*T1^13*T2^7 - 
      507*T1^14*T2^7 - 75*T1^15*T2^7 + 17*T2^8 + 256*T1*T2^8 + 
      838*T1^2*T2^8 - 1022*T1^3*T2^8 + 1841*T1^4*T2^8 + 3564*T1^5*T2^8 - 
      1085*T1^6*T2^8 - 184*T1^7*T2^8 - 72*T1^8*T2^8 - 184*T1^9*T2^8 - 
      1085*T1^10*T2^8 + 3564*T1^11*T2^8 + 1841*T1^12*T2^8 - 1022*T1^13*T2^8 + 
      838*T1^14*T2^8 + 256*T1^15*T2^8 + 17*T1^16*T2^8 - 75*T1*T2^9 - 
      507*T1^2*T2^9 - 378*T1^3*T2^9 + 990*T1^4*T2^9 - 3941*T1^5*T2^9 - 
      1147*T1^6*T2^9 + 1325*T1^7*T2^9 - 184*T1^8*T2^9 - 184*T1^9*T2^9 + 
      1325*T1^10*T2^9 - 1147*T1^11*T2^9 - 3941*T1^12*T2^9 + 990*T1^13*T2^9 - 
      378*T1^14*T2^9 - 507*T1^15*T2^9 - 75*T1^16*T2^9 + 190*T1^2*T2^10 + 
      464*T1^3*T2^10 - 20*T1^4*T2^10 - 309*T1^5*T2^10 + 4423*T1^6*T2^10 - 
      1147*T1^7*T2^10 - 1085*T1^8*T2^10 + 1325*T1^9*T2^10 - 
      1085*T1^10*T2^10 - 1147*T1^11*T2^10 + 4423*T1^12*T2^10 - 
      309*T1^13*T2^10 - 20*T1^14*T2^10 + 464*T1^15*T2^10 + 190*T1^16*T2^10 - 
      295*T1^3*T2^11 - 177*T1^4*T2^11 + 114*T1^5*T2^11 - 309*T1^6*T2^11 - 
      3941*T1^7*T2^11 + 3564*T1^8*T2^11 - 1147*T1^9*T2^11 - 
      1147*T1^10*T2^11 + 3564*T1^11*T2^11 - 3941*T1^12*T2^11 - 
      309*T1^13*T2^11 + 114*T1^14*T2^11 - 177*T1^15*T2^11 - 295*T1^16*T2^11 + 
      335*T1^4*T2^12 - 177*T1^5*T2^12 - 20*T1^6*T2^12 + 990*T1^7*T2^12 + 
      1841*T1^8*T2^12 - 3941*T1^9*T2^12 + 4423*T1^10*T2^12 - 
      3941*T1^11*T2^12 + 1841*T1^12*T2^12 + 990*T1^13*T2^12 - 
      20*T1^14*T2^12 - 177*T1^15*T2^12 + 335*T1^16*T2^12 - 295*T1^5*T2^13 + 
      464*T1^6*T2^13 - 378*T1^7*T2^13 - 1022*T1^8*T2^13 + 990*T1^9*T2^13 - 
      309*T1^10*T2^13 - 309*T1^11*T2^13 + 990*T1^12*T2^13 - 
      1022*T1^13*T2^13 - 378*T1^14*T2^13 + 464*T1^15*T2^13 - 
      295*T1^16*T2^13 + 190*T1^6*T2^14 - 507*T1^7*T2^14 + 838*T1^8*T2^14 - 
      378*T1^9*T2^14 - 20*T1^10*T2^14 + 114*T1^11*T2^14 - 20*T1^12*T2^14 - 
      378*T1^13*T2^14 + 838*T1^14*T2^14 - 507*T1^15*T2^14 + 190*T1^16*T2^14 - 
      75*T1^7*T2^15 + 256*T1^8*T2^15 - 507*T1^9*T2^15 + 464*T1^10*T2^15 - 
      177*T1^11*T2^15 - 177*T1^12*T2^15 + 464*T1^13*T2^15 - 507*T1^14*T2^15 + 
      256*T1^15*T2^15 - 75*T1^16*T2^15 + 17*T1^8*T2^16 - 75*T1^9*T2^16 + 
      190*T1^10*T2^16 - 295*T1^11*T2^16 + 335*T1^12*T2^16 - 295*T1^13*T2^16 + 
      190*T1^14*T2^16 - 75*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 395] -> 
  {(4 - 18*T + 42*T^2 - 55*T^3 + 42*T^4 - 18*T^5 + 4*T^6)/T^3, 
   -((80 - 352*T1 + 816*T1^2 - 1064*T1^3 + 816*T1^4 - 352*T1^5 + 80*T1^6 - 
      352*T2 + 1198*T1*T2 - 2040*T1^2*T2 + 1090*T1^3*T2 + 1090*T1^4*T2 - 
      2040*T1^5*T2 + 1198*T1^6*T2 - 352*T1^7*T2 + 816*T2^2 - 2040*T1*T2^2 + 
      2261*T1^2*T2^2 + 1556*T1^3*T2^2 - 4261*T1^4*T2^2 + 1556*T1^5*T2^2 + 
      2261*T1^6*T2^2 - 2040*T1^7*T2^2 + 816*T1^8*T2^2 - 1064*T2^3 + 
      1090*T1*T2^3 + 1556*T1^2*T2^3 - 8208*T1^3*T2^3 + 5305*T1^4*T2^3 + 
      5305*T1^5*T2^3 - 8208*T1^6*T2^3 + 1556*T1^7*T2^3 + 1090*T1^8*T2^3 - 
      1064*T1^9*T2^3 + 816*T2^4 + 1090*T1*T2^4 - 4261*T1^2*T2^4 + 
      5305*T1^3*T2^4 + 11399*T1^4*T2^4 - 23361*T1^5*T2^4 + 11399*T1^6*T2^4 + 
      5305*T1^7*T2^4 - 4261*T1^8*T2^4 + 1090*T1^9*T2^4 + 816*T1^10*T2^4 - 
      352*T2^5 - 2040*T1*T2^5 + 1556*T1^2*T2^5 + 5305*T1^3*T2^5 - 
      23361*T1^4*T2^5 + 14888*T1^5*T2^5 + 14888*T1^6*T2^5 - 23361*T1^7*T2^5 + 
      5305*T1^8*T2^5 + 1556*T1^9*T2^5 - 2040*T1^10*T2^5 - 352*T1^11*T2^5 + 
      80*T2^6 + 1198*T1*T2^6 + 2261*T1^2*T2^6 - 8208*T1^3*T2^6 + 
      11399*T1^4*T2^6 + 14888*T1^5*T2^6 - 34092*T1^6*T2^6 + 14888*T1^7*T2^6 + 
      11399*T1^8*T2^6 - 8208*T1^9*T2^6 + 2261*T1^10*T2^6 + 1198*T1^11*T2^6 + 
      80*T1^12*T2^6 - 352*T1*T2^7 - 2040*T1^2*T2^7 + 1556*T1^3*T2^7 + 
      5305*T1^4*T2^7 - 23361*T1^5*T2^7 + 14888*T1^6*T2^7 + 14888*T1^7*T2^7 - 
      23361*T1^8*T2^7 + 5305*T1^9*T2^7 + 1556*T1^10*T2^7 - 2040*T1^11*T2^7 - 
      352*T1^12*T2^7 + 816*T1^2*T2^8 + 1090*T1^3*T2^8 - 4261*T1^4*T2^8 + 
      5305*T1^5*T2^8 + 11399*T1^6*T2^8 - 23361*T1^7*T2^8 + 11399*T1^8*T2^8 + 
      5305*T1^9*T2^8 - 4261*T1^10*T2^8 + 1090*T1^11*T2^8 + 816*T1^12*T2^8 - 
      1064*T1^3*T2^9 + 1090*T1^4*T2^9 + 1556*T1^5*T2^9 - 8208*T1^6*T2^9 + 
      5305*T1^7*T2^9 + 5305*T1^8*T2^9 - 8208*T1^9*T2^9 + 1556*T1^10*T2^9 + 
      1090*T1^11*T2^9 - 1064*T1^12*T2^9 + 816*T1^4*T2^10 - 2040*T1^5*T2^10 + 
      2261*T1^6*T2^10 + 1556*T1^7*T2^10 - 4261*T1^8*T2^10 + 1556*T1^9*T2^10 + 
      2261*T1^10*T2^10 - 2040*T1^11*T2^10 + 816*T1^12*T2^10 - 
      352*T1^5*T2^11 + 1198*T1^6*T2^11 - 2040*T1^7*T2^11 + 1090*T1^8*T2^11 + 
      1090*T1^9*T2^11 - 2040*T1^10*T2^11 + 1198*T1^11*T2^11 - 
      352*T1^12*T2^11 + 80*T1^6*T2^12 - 352*T1^7*T2^12 + 816*T1^8*T2^12 - 
      1064*T1^9*T2^12 + 816*T1^10*T2^12 - 352*T1^11*T2^12 + 80*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, Alternating, 396] -> 
  {((1 - T + T^2)^2*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^4, 
   -((1 - 5*T1 + 2*T1^2 + T1^3 + 2*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 12*T1*T2 + 
      37*T1^2*T2 - 29*T1^3*T2 - 29*T1^4*T2 + 37*T1^5*T2 + 12*T1^6*T2 - 
      5*T1^7*T2 + 2*T2^2 + 37*T1*T2^2 - 198*T1^2*T2^2 - 22*T1^3*T2^2 + 
      206*T1^4*T2^2 - 22*T1^5*T2^2 - 198*T1^6*T2^2 + 37*T1^7*T2^2 + 
      2*T1^8*T2^2 + T2^3 - 29*T1*T2^3 - 22*T1^2*T2^3 + 908*T1^3*T2^3 - 
      591*T1^4*T2^3 - 591*T1^5*T2^3 + 908*T1^6*T2^3 - 22*T1^7*T2^3 - 
      29*T1^8*T2^3 + T1^9*T2^3 + 2*T2^4 - 29*T1*T2^4 + 206*T1^2*T2^4 - 
      591*T1^3*T2^4 - 2170*T1^4*T2^4 + 3904*T1^5*T2^4 - 2170*T1^6*T2^4 - 
      591*T1^7*T2^4 + 206*T1^8*T2^4 - 29*T1^9*T2^4 + 2*T1^10*T2^4 - 5*T2^5 + 
      37*T1*T2^5 - 22*T1^2*T2^5 - 591*T1^3*T2^5 + 3904*T1^4*T2^5 - 
      2282*T1^5*T2^5 - 2282*T1^6*T2^5 + 3904*T1^7*T2^5 - 591*T1^8*T2^5 - 
      22*T1^9*T2^5 + 37*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 12*T1*T2^6 - 
      198*T1^2*T2^6 + 908*T1^3*T2^6 - 2170*T1^4*T2^6 - 2282*T1^5*T2^6 + 
      5004*T1^6*T2^6 - 2282*T1^7*T2^6 - 2170*T1^8*T2^6 + 908*T1^9*T2^6 - 
      198*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 + 
      37*T1^2*T2^7 - 22*T1^3*T2^7 - 591*T1^4*T2^7 + 3904*T1^5*T2^7 - 
      2282*T1^6*T2^7 - 2282*T1^7*T2^7 + 3904*T1^8*T2^7 - 591*T1^9*T2^7 - 
      22*T1^10*T2^7 + 37*T1^11*T2^7 - 5*T1^12*T2^7 + 2*T1^2*T2^8 - 
      29*T1^3*T2^8 + 206*T1^4*T2^8 - 591*T1^5*T2^8 - 2170*T1^6*T2^8 + 
      3904*T1^7*T2^8 - 2170*T1^8*T2^8 - 591*T1^9*T2^8 + 206*T1^10*T2^8 - 
      29*T1^11*T2^8 + 2*T1^12*T2^8 + T1^3*T2^9 - 29*T1^4*T2^9 - 
      22*T1^5*T2^9 + 908*T1^6*T2^9 - 591*T1^7*T2^9 - 591*T1^8*T2^9 + 
      908*T1^9*T2^9 - 22*T1^10*T2^9 - 29*T1^11*T2^9 + T1^12*T2^9 + 
      2*T1^4*T2^10 + 37*T1^5*T2^10 - 198*T1^6*T2^10 - 22*T1^7*T2^10 + 
      206*T1^8*T2^10 - 22*T1^9*T2^10 - 198*T1^10*T2^10 + 37*T1^11*T2^10 + 
      2*T1^12*T2^10 - 5*T1^5*T2^11 + 12*T1^6*T2^11 + 37*T1^7*T2^11 - 
      29*T1^8*T2^11 - 29*T1^9*T2^11 + 37*T1^10*T2^11 + 12*T1^11*T2^11 - 
      5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 2*T1^8*T2^12 + T1^9*T2^12 + 
      2*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 397] -> 
  {-((3 - 20*T + 48*T^2 - 63*T^3 + 48*T^4 - 20*T^5 + 3*T^6)/T^3), 
   -((57 - 379*T1 + 905*T1^2 - 1187*T1^3 + 905*T1^4 - 379*T1^5 + 57*T1^6 - 
      379*T2 + 2142*T1*T2 - 3504*T1^2*T2 + 1879*T1^3*T2 + 1879*T1^4*T2 - 
      3504*T1^5*T2 + 2142*T1^6*T2 - 379*T1^7*T2 + 905*T2^2 - 3504*T1*T2^2 - 
      1188*T1^2*T2^2 + 14375*T1^3*T2^2 - 22696*T1^4*T2^2 + 14375*T1^5*T2^2 - 
      1188*T1^6*T2^2 - 3504*T1^7*T2^2 + 905*T1^8*T2^2 - 1187*T2^3 + 
      1879*T1*T2^3 + 14375*T1^2*T2^3 - 30788*T1^3*T2^3 + 18140*T1^4*T2^3 + 
      18140*T1^5*T2^3 - 30788*T1^6*T2^3 + 14375*T1^7*T2^3 + 1879*T1^8*T2^3 - 
      1187*T1^9*T2^3 + 905*T2^4 + 1879*T1*T2^4 - 22696*T1^2*T2^4 + 
      18140*T1^3*T2^4 + 26736*T1^4*T2^4 - 60224*T1^5*T2^4 + 26736*T1^6*T2^4 + 
      18140*T1^7*T2^4 - 22696*T1^8*T2^4 + 1879*T1^9*T2^4 + 905*T1^10*T2^4 - 
      379*T2^5 - 3504*T1*T2^5 + 14375*T1^2*T2^5 + 18140*T1^3*T2^5 - 
      60224*T1^4*T2^5 + 39490*T1^5*T2^5 + 39490*T1^6*T2^5 - 60224*T1^7*T2^5 + 
      18140*T1^8*T2^5 + 14375*T1^9*T2^5 - 3504*T1^10*T2^5 - 379*T1^11*T2^5 + 
      57*T2^6 + 2142*T1*T2^6 - 1188*T1^2*T2^6 - 30788*T1^3*T2^6 + 
      26736*T1^4*T2^6 + 39490*T1^5*T2^6 - 91044*T1^6*T2^6 + 39490*T1^7*T2^6 + 
      26736*T1^8*T2^6 - 30788*T1^9*T2^6 - 1188*T1^10*T2^6 + 2142*T1^11*T2^6 + 
      57*T1^12*T2^6 - 379*T1*T2^7 - 3504*T1^2*T2^7 + 14375*T1^3*T2^7 + 
      18140*T1^4*T2^7 - 60224*T1^5*T2^7 + 39490*T1^6*T2^7 + 39490*T1^7*T2^7 - 
      60224*T1^8*T2^7 + 18140*T1^9*T2^7 + 14375*T1^10*T2^7 - 
      3504*T1^11*T2^7 - 379*T1^12*T2^7 + 905*T1^2*T2^8 + 1879*T1^3*T2^8 - 
      22696*T1^4*T2^8 + 18140*T1^5*T2^8 + 26736*T1^6*T2^8 - 60224*T1^7*T2^8 + 
      26736*T1^8*T2^8 + 18140*T1^9*T2^8 - 22696*T1^10*T2^8 + 
      1879*T1^11*T2^8 + 905*T1^12*T2^8 - 1187*T1^3*T2^9 + 1879*T1^4*T2^9 + 
      14375*T1^5*T2^9 - 30788*T1^6*T2^9 + 18140*T1^7*T2^9 + 18140*T1^8*T2^9 - 
      30788*T1^9*T2^9 + 14375*T1^10*T2^9 + 1879*T1^11*T2^9 - 
      1187*T1^12*T2^9 + 905*T1^4*T2^10 - 3504*T1^5*T2^10 - 1188*T1^6*T2^10 + 
      14375*T1^7*T2^10 - 22696*T1^8*T2^10 + 14375*T1^9*T2^10 - 
      1188*T1^10*T2^10 - 3504*T1^11*T2^10 + 905*T1^12*T2^10 - 
      379*T1^5*T2^11 + 2142*T1^6*T2^11 - 3504*T1^7*T2^11 + 1879*T1^8*T2^11 + 
      1879*T1^9*T2^11 - 3504*T1^10*T2^11 + 2142*T1^11*T2^11 - 
      379*T1^12*T2^11 + 57*T1^6*T2^12 - 379*T1^7*T2^12 + 905*T1^8*T2^12 - 
      1187*T1^9*T2^12 + 905*T1^10*T2^12 - 379*T1^11*T2^12 + 57*T1^12*T2^12)/
     (T1^6*T2^6))}, 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, 
   (2 - 14*T1 + 44*T1^2 - 78*T1^3 + 94*T1^4 - 78*T1^5 + 44*T1^6 - 14*T1^7 + 
     2*T1^8 - 14*T2 + 84*T1*T2 - 210*T1^2*T2 + 238*T1^3*T2 - 112*T1^4*T2 - 
     112*T1^5*T2 + 238*T1^6*T2 - 210*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
     44*T2^2 - 210*T1*T2^2 + 329*T1^2*T2^2 + 114*T1^3*T2^2 - 757*T1^4*T2^2 + 
     1137*T1^5*T2^2 - 757*T1^6*T2^2 + 114*T1^7*T2^2 + 329*T1^8*T2^2 - 
     210*T1^9*T2^2 + 44*T1^10*T2^2 - 78*T2^3 + 238*T1*T2^3 + 114*T1^2*T2^3 - 
     1570*T1^3*T2^3 + 2049*T1^4*T2^3 - 1093*T1^5*T2^3 - 1093*T1^6*T2^3 + 
     2049*T1^7*T2^3 - 1570*T1^8*T2^3 + 114*T1^9*T2^3 + 238*T1^10*T2^3 - 
     78*T1^11*T2^3 + 94*T2^4 - 112*T1*T2^4 - 757*T1^2*T2^4 + 2049*T1^3*T2^4 + 
     399*T1^4*T2^4 - 3978*T1^5*T2^4 + 6415*T1^6*T2^4 - 3978*T1^7*T2^4 + 
     399*T1^8*T2^4 + 2049*T1^9*T2^4 - 757*T1^10*T2^4 - 112*T1^11*T2^4 + 
     94*T1^12*T2^4 - 78*T2^5 - 112*T1*T2^5 + 1137*T1^2*T2^5 - 
     1093*T1^3*T2^5 - 3978*T1^4*T2^5 + 5908*T1^5*T2^5 - 3572*T1^6*T2^5 - 
     3572*T1^7*T2^5 + 5908*T1^8*T2^5 - 3978*T1^9*T2^5 - 1093*T1^10*T2^5 + 
     1137*T1^11*T2^5 - 112*T1^12*T2^5 - 78*T1^13*T2^5 + 44*T2^6 + 
     238*T1*T2^6 - 757*T1^2*T2^6 - 1093*T1^3*T2^6 + 6415*T1^4*T2^6 - 
     3572*T1^5*T2^6 - 2032*T1^6*T2^6 + 7106*T1^7*T2^6 - 2032*T1^8*T2^6 - 
     3572*T1^9*T2^6 + 6415*T1^10*T2^6 - 1093*T1^11*T2^6 - 757*T1^12*T2^6 + 
     238*T1^13*T2^6 + 44*T1^14*T2^6 - 14*T2^7 - 210*T1*T2^7 + 114*T1^2*T2^7 + 
     2049*T1^3*T2^7 - 3978*T1^4*T2^7 - 3572*T1^5*T2^7 + 7106*T1^6*T2^7 - 
     5088*T1^7*T2^7 - 5088*T1^8*T2^7 + 7106*T1^9*T2^7 - 3572*T1^10*T2^7 - 
     3978*T1^11*T2^7 + 2049*T1^12*T2^7 + 114*T1^13*T2^7 - 210*T1^14*T2^7 - 
     14*T1^15*T2^7 + 2*T2^8 + 84*T1*T2^8 + 329*T1^2*T2^8 - 1570*T1^3*T2^8 + 
     399*T1^4*T2^8 + 5908*T1^5*T2^8 - 2032*T1^6*T2^8 - 5088*T1^7*T2^8 + 
     11724*T1^8*T2^8 - 5088*T1^9*T2^8 - 2032*T1^10*T2^8 + 5908*T1^11*T2^8 + 
     399*T1^12*T2^8 - 1570*T1^13*T2^8 + 329*T1^14*T2^8 + 84*T1^15*T2^8 + 
     2*T1^16*T2^8 - 14*T1*T2^9 - 210*T1^2*T2^9 + 114*T1^3*T2^9 + 
     2049*T1^4*T2^9 - 3978*T1^5*T2^9 - 3572*T1^6*T2^9 + 7106*T1^7*T2^9 - 
     5088*T1^8*T2^9 - 5088*T1^9*T2^9 + 7106*T1^10*T2^9 - 3572*T1^11*T2^9 - 
     3978*T1^12*T2^9 + 2049*T1^13*T2^9 + 114*T1^14*T2^9 - 210*T1^15*T2^9 - 
     14*T1^16*T2^9 + 44*T1^2*T2^10 + 238*T1^3*T2^10 - 757*T1^4*T2^10 - 
     1093*T1^5*T2^10 + 6415*T1^6*T2^10 - 3572*T1^7*T2^10 - 2032*T1^8*T2^10 + 
     7106*T1^9*T2^10 - 2032*T1^10*T2^10 - 3572*T1^11*T2^10 + 
     6415*T1^12*T2^10 - 1093*T1^13*T2^10 - 757*T1^14*T2^10 + 
     238*T1^15*T2^10 + 44*T1^16*T2^10 - 78*T1^3*T2^11 - 112*T1^4*T2^11 + 
     1137*T1^5*T2^11 - 1093*T1^6*T2^11 - 3978*T1^7*T2^11 + 5908*T1^8*T2^11 - 
     3572*T1^9*T2^11 - 3572*T1^10*T2^11 + 5908*T1^11*T2^11 - 
     3978*T1^12*T2^11 - 1093*T1^13*T2^11 + 1137*T1^14*T2^11 - 
     112*T1^15*T2^11 - 78*T1^16*T2^11 + 94*T1^4*T2^12 - 112*T1^5*T2^12 - 
     757*T1^6*T2^12 + 2049*T1^7*T2^12 + 399*T1^8*T2^12 - 3978*T1^9*T2^12 + 
     6415*T1^10*T2^12 - 3978*T1^11*T2^12 + 399*T1^12*T2^12 + 
     2049*T1^13*T2^12 - 757*T1^14*T2^12 - 112*T1^15*T2^12 + 94*T1^16*T2^12 - 
     78*T1^5*T2^13 + 238*T1^6*T2^13 + 114*T1^7*T2^13 - 1570*T1^8*T2^13 + 
     2049*T1^9*T2^13 - 1093*T1^10*T2^13 - 1093*T1^11*T2^13 + 
     2049*T1^12*T2^13 - 1570*T1^13*T2^13 + 114*T1^14*T2^13 + 
     238*T1^15*T2^13 - 78*T1^16*T2^13 + 44*T1^6*T2^14 - 210*T1^7*T2^14 + 
     329*T1^8*T2^14 + 114*T1^9*T2^14 - 757*T1^10*T2^14 + 1137*T1^11*T2^14 - 
     757*T1^12*T2^14 + 114*T1^13*T2^14 + 329*T1^14*T2^14 - 210*T1^15*T2^14 + 
     44*T1^16*T2^14 - 14*T1^7*T2^15 + 84*T1^8*T2^15 - 210*T1^9*T2^15 + 
     238*T1^10*T2^15 - 112*T1^11*T2^15 - 112*T1^12*T2^15 + 238*T1^13*T2^15 - 
     210*T1^14*T2^15 + 84*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)/
    (T1^8*T2^8)}, Knot[12, Alternating, 399] -> 
  {(5 - 22*T + 48*T^2 - 61*T^3 + 48*T^4 - 22*T^5 + 5*T^6)/T^3, 
   -((145 - 625*T1 + 1359*T1^2 - 1721*T1^3 + 1359*T1^4 - 625*T1^5 + 
      145*T1^6 - 625*T2 + 2078*T1*T2 - 3182*T1^2*T2 + 1573*T1^3*T2 + 
      1573*T1^4*T2 - 3182*T1^5*T2 + 2078*T1^6*T2 - 625*T1^7*T2 + 1359*T2^2 - 
      3182*T1*T2^2 + 2487*T1^2*T2^2 + 3362*T1^3*T2^2 - 6719*T1^4*T2^2 + 
      3362*T1^5*T2^2 + 2487*T1^6*T2^2 - 3182*T1^7*T2^2 + 1359*T1^8*T2^2 - 
      1721*T2^3 + 1573*T1*T2^3 + 3362*T1^2*T2^3 - 11298*T1^3*T2^3 + 
      6240*T1^4*T2^3 + 6240*T1^5*T2^3 - 11298*T1^6*T2^3 + 3362*T1^7*T2^3 + 
      1573*T1^8*T2^3 - 1721*T1^9*T2^3 + 1359*T2^4 + 1573*T1*T2^4 - 
      6719*T1^2*T2^4 + 6240*T1^3*T2^4 + 13768*T1^4*T2^4 - 25162*T1^5*T2^4 + 
      13768*T1^6*T2^4 + 6240*T1^7*T2^4 - 6719*T1^8*T2^4 + 1573*T1^9*T2^4 + 
      1359*T1^10*T2^4 - 625*T2^5 - 3182*T1*T2^5 + 3362*T1^2*T2^5 + 
      6240*T1^3*T2^5 - 25162*T1^4*T2^5 + 13982*T1^5*T2^5 + 13982*T1^6*T2^5 - 
      25162*T1^7*T2^5 + 6240*T1^8*T2^5 + 3362*T1^9*T2^5 - 3182*T1^10*T2^5 - 
      625*T1^11*T2^5 + 145*T2^6 + 2078*T1*T2^6 + 2487*T1^2*T2^6 - 
      11298*T1^3*T2^6 + 13768*T1^4*T2^6 + 13982*T1^5*T2^6 - 30084*T1^6*T2^6 + 
      13982*T1^7*T2^6 + 13768*T1^8*T2^6 - 11298*T1^9*T2^6 + 2487*T1^10*T2^6 + 
      2078*T1^11*T2^6 + 145*T1^12*T2^6 - 625*T1*T2^7 - 3182*T1^2*T2^7 + 
      3362*T1^3*T2^7 + 6240*T1^4*T2^7 - 25162*T1^5*T2^7 + 13982*T1^6*T2^7 + 
      13982*T1^7*T2^7 - 25162*T1^8*T2^7 + 6240*T1^9*T2^7 + 3362*T1^10*T2^7 - 
      3182*T1^11*T2^7 - 625*T1^12*T2^7 + 1359*T1^2*T2^8 + 1573*T1^3*T2^8 - 
      6719*T1^4*T2^8 + 6240*T1^5*T2^8 + 13768*T1^6*T2^8 - 25162*T1^7*T2^8 + 
      13768*T1^8*T2^8 + 6240*T1^9*T2^8 - 6719*T1^10*T2^8 + 1573*T1^11*T2^8 + 
      1359*T1^12*T2^8 - 1721*T1^3*T2^9 + 1573*T1^4*T2^9 + 3362*T1^5*T2^9 - 
      11298*T1^6*T2^9 + 6240*T1^7*T2^9 + 6240*T1^8*T2^9 - 11298*T1^9*T2^9 + 
      3362*T1^10*T2^9 + 1573*T1^11*T2^9 - 1721*T1^12*T2^9 + 1359*T1^4*T2^10 - 
      3182*T1^5*T2^10 + 2487*T1^6*T2^10 + 3362*T1^7*T2^10 - 6719*T1^8*T2^10 + 
      3362*T1^9*T2^10 + 2487*T1^10*T2^10 - 3182*T1^11*T2^10 + 
      1359*T1^12*T2^10 - 625*T1^5*T2^11 + 2078*T1^6*T2^11 - 3182*T1^7*T2^11 + 
      1573*T1^8*T2^11 + 1573*T1^9*T2^11 - 3182*T1^10*T2^11 + 
      2078*T1^11*T2^11 - 625*T1^12*T2^11 + 145*T1^6*T2^12 - 625*T1^7*T2^12 + 
      1359*T1^8*T2^12 - 1721*T1^9*T2^12 + 1359*T1^10*T2^12 - 
      625*T1^11*T2^12 + 145*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 400] -> 
  {(3 - 18*T + 48*T^2 - 65*T^3 + 48*T^4 - 18*T^5 + 3*T^6)/T^3, 
   (30 - 183*T1 + 493*T1^2 - 668*T1^3 + 493*T1^4 - 183*T1^5 + 30*T1^6 - 
     183*T2 + 934*T1*T2 - 1892*T1^2*T2 + 1068*T1^3*T2 + 1068*T1^4*T2 - 
     1892*T1^5*T2 + 934*T1^6*T2 - 183*T1^7*T2 + 493*T2^2 - 1892*T1*T2^2 + 
     1759*T1^2*T2^2 + 4491*T1^3*T2^2 - 8865*T1^4*T2^2 + 4491*T1^5*T2^2 + 
     1759*T1^6*T2^2 - 1892*T1^7*T2^2 + 493*T1^8*T2^2 - 668*T2^3 + 
     1068*T1*T2^3 + 4491*T1^2*T2^3 - 17262*T1^3*T2^3 + 10925*T1^4*T2^3 + 
     10925*T1^5*T2^3 - 17262*T1^6*T2^3 + 4491*T1^7*T2^3 + 1068*T1^8*T2^3 - 
     668*T1^9*T2^3 + 493*T2^4 + 1068*T1*T2^4 - 8865*T1^2*T2^4 + 
     10925*T1^3*T2^4 + 26438*T1^4*T2^4 - 53460*T1^5*T2^4 + 26438*T1^6*T2^4 + 
     10925*T1^7*T2^4 - 8865*T1^8*T2^4 + 1068*T1^9*T2^4 + 493*T1^10*T2^4 - 
     183*T2^5 - 1892*T1*T2^5 + 4491*T1^2*T2^5 + 10925*T1^3*T2^5 - 
     53460*T1^4*T2^5 + 34736*T1^5*T2^5 + 34736*T1^6*T2^5 - 53460*T1^7*T2^5 + 
     10925*T1^8*T2^5 + 4491*T1^9*T2^5 - 1892*T1^10*T2^5 - 183*T1^11*T2^5 + 
     30*T2^6 + 934*T1*T2^6 + 1759*T1^2*T2^6 - 17262*T1^3*T2^6 + 
     26438*T1^4*T2^6 + 34736*T1^5*T2^6 - 80676*T1^6*T2^6 + 34736*T1^7*T2^6 + 
     26438*T1^8*T2^6 - 17262*T1^9*T2^6 + 1759*T1^10*T2^6 + 934*T1^11*T2^6 + 
     30*T1^12*T2^6 - 183*T1*T2^7 - 1892*T1^2*T2^7 + 4491*T1^3*T2^7 + 
     10925*T1^4*T2^7 - 53460*T1^5*T2^7 + 34736*T1^6*T2^7 + 34736*T1^7*T2^7 - 
     53460*T1^8*T2^7 + 10925*T1^9*T2^7 + 4491*T1^10*T2^7 - 1892*T1^11*T2^7 - 
     183*T1^12*T2^7 + 493*T1^2*T2^8 + 1068*T1^3*T2^8 - 8865*T1^4*T2^8 + 
     10925*T1^5*T2^8 + 26438*T1^6*T2^8 - 53460*T1^7*T2^8 + 26438*T1^8*T2^8 + 
     10925*T1^9*T2^8 - 8865*T1^10*T2^8 + 1068*T1^11*T2^8 + 493*T1^12*T2^8 - 
     668*T1^3*T2^9 + 1068*T1^4*T2^9 + 4491*T1^5*T2^9 - 17262*T1^6*T2^9 + 
     10925*T1^7*T2^9 + 10925*T1^8*T2^9 - 17262*T1^9*T2^9 + 4491*T1^10*T2^9 + 
     1068*T1^11*T2^9 - 668*T1^12*T2^9 + 493*T1^4*T2^10 - 1892*T1^5*T2^10 + 
     1759*T1^6*T2^10 + 4491*T1^7*T2^10 - 8865*T1^8*T2^10 + 4491*T1^9*T2^10 + 
     1759*T1^10*T2^10 - 1892*T1^11*T2^10 + 493*T1^12*T2^10 - 183*T1^5*T2^11 + 
     934*T1^6*T2^11 - 1892*T1^7*T2^11 + 1068*T1^8*T2^11 + 1068*T1^9*T2^11 - 
     1892*T1^10*T2^11 + 934*T1^11*T2^11 - 183*T1^12*T2^11 + 30*T1^6*T2^12 - 
     183*T1^7*T2^12 + 493*T1^8*T2^12 - 668*T1^9*T2^12 + 493*T1^10*T2^12 - 
     183*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 401] -> 
  {(2 - 14*T + 38*T^2 - 51*T^3 + 38*T^4 - 14*T^5 + 2*T^6)/T^3, 
   (7 - 49*T1 + 131*T1^2 - 175*T1^3 + 131*T1^4 - 49*T1^5 + 7*T1^6 - 49*T2 + 
     294*T1*T2 - 574*T1^2*T2 + 308*T1^3*T2 + 308*T1^4*T2 - 574*T1^5*T2 + 
     294*T1^6*T2 - 49*T1^7*T2 + 131*T2^2 - 574*T1*T2^2 + 167*T1^2*T2^2 + 
     2289*T1^3*T2^2 - 3769*T1^4*T2^2 + 2289*T1^5*T2^2 + 167*T1^6*T2^2 - 
     574*T1^7*T2^2 + 131*T1^8*T2^2 - 175*T2^3 + 308*T1*T2^3 + 
     2289*T1^2*T2^3 - 6742*T1^3*T2^3 + 3872*T1^4*T2^3 + 3872*T1^5*T2^3 - 
     6742*T1^6*T2^3 + 2289*T1^7*T2^3 + 308*T1^8*T2^3 - 175*T1^9*T2^3 + 
     131*T2^4 + 308*T1*T2^4 - 3769*T1^2*T2^4 + 3872*T1^3*T2^4 + 
     9599*T1^4*T2^4 - 18285*T1^5*T2^4 + 9599*T1^6*T2^4 + 3872*T1^7*T2^4 - 
     3769*T1^8*T2^4 + 308*T1^9*T2^4 + 131*T1^10*T2^4 - 49*T2^5 - 
     574*T1*T2^5 + 2289*T1^2*T2^5 + 3872*T1^3*T2^5 - 18285*T1^4*T2^5 + 
     11202*T1^5*T2^5 + 11202*T1^6*T2^5 - 18285*T1^7*T2^5 + 3872*T1^8*T2^5 + 
     2289*T1^9*T2^5 - 574*T1^10*T2^5 - 49*T1^11*T2^5 + 7*T2^6 + 294*T1*T2^6 + 
     167*T1^2*T2^6 - 6742*T1^3*T2^6 + 9599*T1^4*T2^6 + 11202*T1^5*T2^6 - 
     25512*T1^6*T2^6 + 11202*T1^7*T2^6 + 9599*T1^8*T2^6 - 6742*T1^9*T2^6 + 
     167*T1^10*T2^6 + 294*T1^11*T2^6 + 7*T1^12*T2^6 - 49*T1*T2^7 - 
     574*T1^2*T2^7 + 2289*T1^3*T2^7 + 3872*T1^4*T2^7 - 18285*T1^5*T2^7 + 
     11202*T1^6*T2^7 + 11202*T1^7*T2^7 - 18285*T1^8*T2^7 + 3872*T1^9*T2^7 + 
     2289*T1^10*T2^7 - 574*T1^11*T2^7 - 49*T1^12*T2^7 + 131*T1^2*T2^8 + 
     308*T1^3*T2^8 - 3769*T1^4*T2^8 + 3872*T1^5*T2^8 + 9599*T1^6*T2^8 - 
     18285*T1^7*T2^8 + 9599*T1^8*T2^8 + 3872*T1^9*T2^8 - 3769*T1^10*T2^8 + 
     308*T1^11*T2^8 + 131*T1^12*T2^8 - 175*T1^3*T2^9 + 308*T1^4*T2^9 + 
     2289*T1^5*T2^9 - 6742*T1^6*T2^9 + 3872*T1^7*T2^9 + 3872*T1^8*T2^9 - 
     6742*T1^9*T2^9 + 2289*T1^10*T2^9 + 308*T1^11*T2^9 - 175*T1^12*T2^9 + 
     131*T1^4*T2^10 - 574*T1^5*T2^10 + 167*T1^6*T2^10 + 2289*T1^7*T2^10 - 
     3769*T1^8*T2^10 + 2289*T1^9*T2^10 + 167*T1^10*T2^10 - 574*T1^11*T2^10 + 
     131*T1^12*T2^10 - 49*T1^5*T2^11 + 294*T1^6*T2^11 - 574*T1^7*T2^11 + 
     308*T1^8*T2^11 + 308*T1^9*T2^11 - 574*T1^10*T2^11 + 294*T1^11*T2^11 - 
     49*T1^12*T2^11 + 7*T1^6*T2^12 - 49*T1^7*T2^12 + 131*T1^8*T2^12 - 
     175*T1^9*T2^12 + 131*T1^10*T2^12 - 49*T1^11*T2^12 + 7*T1^12*T2^12)/
    (T1^6*T2^6)}, 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), -((1 - 8*T1 + 29*T1^2 - 60*T1^3 + 75*T1^4 - 60*T1^5 + 29*T1^6 - 
      8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 168*T1^2*T2 + 248*T1^3*T2 - 
      120*T1^4*T2 - 120*T1^5*T2 + 248*T1^6*T2 - 168*T1^7*T2 + 56*T1^8*T2 - 
      8*T1^9*T2 + 29*T2^2 - 168*T1*T2^2 + 357*T1^2*T2^2 - 114*T1^3*T2^2 - 
      824*T1^4*T2^2 + 1323*T1^5*T2^2 - 824*T1^6*T2^2 - 114*T1^7*T2^2 + 
      357*T1^8*T2^2 - 168*T1^9*T2^2 + 29*T1^10*T2^2 - 60*T2^3 + 248*T1*T2^3 - 
      114*T1^2*T2^3 - 1316*T1^3*T2^3 + 3116*T1^4*T2^3 - 1613*T1^5*T2^3 - 
      1613*T1^6*T2^3 + 3116*T1^7*T2^3 - 1316*T1^8*T2^3 - 114*T1^9*T2^3 + 
      248*T1^10*T2^3 - 60*T1^11*T2^3 + 75*T2^4 - 120*T1*T2^4 - 
      824*T1^2*T2^4 + 3116*T1^3*T2^4 - 2532*T1^4*T2^4 - 5162*T1^5*T2^4 + 
      9296*T1^6*T2^4 - 5162*T1^7*T2^4 - 2532*T1^8*T2^4 + 3116*T1^9*T2^4 - 
      824*T1^10*T2^4 - 120*T1^11*T2^4 + 75*T1^12*T2^4 - 60*T2^5 - 
      120*T1*T2^5 + 1323*T1^2*T2^5 - 1613*T1^3*T2^5 - 5162*T1^4*T2^5 + 
      15712*T1^5*T2^5 - 8289*T1^6*T2^5 - 8289*T1^7*T2^5 + 15712*T1^8*T2^5 - 
      5162*T1^9*T2^5 - 1613*T1^10*T2^5 + 1323*T1^11*T2^5 - 120*T1^12*T2^5 - 
      60*T1^13*T2^5 + 29*T2^6 + 248*T1*T2^6 - 824*T1^2*T2^6 - 
      1613*T1^3*T2^6 + 9296*T1^4*T2^6 - 8289*T1^5*T2^6 - 18068*T1^6*T2^6 + 
      32298*T1^7*T2^6 - 18068*T1^8*T2^6 - 8289*T1^9*T2^6 + 9296*T1^10*T2^6 - 
      1613*T1^11*T2^6 - 824*T1^12*T2^6 + 248*T1^13*T2^6 + 29*T1^14*T2^6 - 
      8*T2^7 - 168*T1*T2^7 - 114*T1^2*T2^7 + 3116*T1^3*T2^7 - 
      5162*T1^4*T2^7 - 8289*T1^5*T2^7 + 32298*T1^6*T2^7 - 17500*T1^7*T2^7 - 
      17500*T1^8*T2^7 + 32298*T1^9*T2^7 - 8289*T1^10*T2^7 - 5162*T1^11*T2^7 + 
      3116*T1^12*T2^7 - 114*T1^13*T2^7 - 168*T1^14*T2^7 - 8*T1^15*T2^7 + 
      T2^8 + 56*T1*T2^8 + 357*T1^2*T2^8 - 1316*T1^3*T2^8 - 2532*T1^4*T2^8 + 
      15712*T1^5*T2^8 - 18068*T1^6*T2^8 - 17500*T1^7*T2^8 + 37368*T1^8*T2^8 - 
      17500*T1^9*T2^8 - 18068*T1^10*T2^8 + 15712*T1^11*T2^8 - 
      2532*T1^12*T2^8 - 1316*T1^13*T2^8 + 357*T1^14*T2^8 + 56*T1^15*T2^8 + 
      T1^16*T2^8 - 8*T1*T2^9 - 168*T1^2*T2^9 - 114*T1^3*T2^9 + 
      3116*T1^4*T2^9 - 5162*T1^5*T2^9 - 8289*T1^6*T2^9 + 32298*T1^7*T2^9 - 
      17500*T1^8*T2^9 - 17500*T1^9*T2^9 + 32298*T1^10*T2^9 - 
      8289*T1^11*T2^9 - 5162*T1^12*T2^9 + 3116*T1^13*T2^9 - 114*T1^14*T2^9 - 
      168*T1^15*T2^9 - 8*T1^16*T2^9 + 29*T1^2*T2^10 + 248*T1^3*T2^10 - 
      824*T1^4*T2^10 - 1613*T1^5*T2^10 + 9296*T1^6*T2^10 - 8289*T1^7*T2^10 - 
      18068*T1^8*T2^10 + 32298*T1^9*T2^10 - 18068*T1^10*T2^10 - 
      8289*T1^11*T2^10 + 9296*T1^12*T2^10 - 1613*T1^13*T2^10 - 
      824*T1^14*T2^10 + 248*T1^15*T2^10 + 29*T1^16*T2^10 - 60*T1^3*T2^11 - 
      120*T1^4*T2^11 + 1323*T1^5*T2^11 - 1613*T1^6*T2^11 - 5162*T1^7*T2^11 + 
      15712*T1^8*T2^11 - 8289*T1^9*T2^11 - 8289*T1^10*T2^11 + 
      15712*T1^11*T2^11 - 5162*T1^12*T2^11 - 1613*T1^13*T2^11 + 
      1323*T1^14*T2^11 - 120*T1^15*T2^11 - 60*T1^16*T2^11 + 75*T1^4*T2^12 - 
      120*T1^5*T2^12 - 824*T1^6*T2^12 + 3116*T1^7*T2^12 - 2532*T1^8*T2^12 - 
      5162*T1^9*T2^12 + 9296*T1^10*T2^12 - 5162*T1^11*T2^12 - 
      2532*T1^12*T2^12 + 3116*T1^13*T2^12 - 824*T1^14*T2^12 - 
      120*T1^15*T2^12 + 75*T1^16*T2^12 - 60*T1^5*T2^13 + 248*T1^6*T2^13 - 
      114*T1^7*T2^13 - 1316*T1^8*T2^13 + 3116*T1^9*T2^13 - 1613*T1^10*T2^13 - 
      1613*T1^11*T2^13 + 3116*T1^12*T2^13 - 1316*T1^13*T2^13 - 
      114*T1^14*T2^13 + 248*T1^15*T2^13 - 60*T1^16*T2^13 + 29*T1^6*T2^14 - 
      168*T1^7*T2^14 + 357*T1^8*T2^14 - 114*T1^9*T2^14 - 824*T1^10*T2^14 + 
      1323*T1^11*T2^14 - 824*T1^12*T2^14 - 114*T1^13*T2^14 + 
      357*T1^14*T2^14 - 168*T1^15*T2^14 + 29*T1^16*T2^14 - 8*T1^7*T2^15 + 
      56*T1^8*T2^15 - 168*T1^9*T2^15 + 248*T1^10*T2^15 - 120*T1^11*T2^15 - 
      120*T1^12*T2^15 + 248*T1^13*T2^15 - 168*T1^14*T2^15 + 56*T1^15*T2^15 - 
      8*T1^16*T2^15 + T1^8*T2^16 - 8*T1^9*T2^16 + 29*T1^10*T2^16 - 
      60*T1^11*T2^16 + 75*T1^12*T2^16 - 60*T1^13*T2^16 + 29*T1^14*T2^16 - 
      8*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 403] -> 
  {-((3 - 19*T + 49*T^2 - 67*T^3 + 49*T^4 - 19*T^5 + 3*T^6)/T^3), 
   -((3 - 20*T1 + 51*T1^2 - 71*T1^3 + 51*T1^4 - 20*T1^5 + 3*T1^6 - 20*T2 + 
      114*T1*T2 - 207*T1^2*T2 + 131*T1^3*T2 + 131*T1^4*T2 - 207*T1^5*T2 + 
      114*T1^6*T2 - 20*T1^7*T2 + 51*T2^2 - 207*T1*T2^2 + 22*T1^2*T2^2 + 
      730*T1^3*T2^2 - 1398*T1^4*T2^2 + 730*T1^5*T2^2 + 22*T1^6*T2^2 - 
      207*T1^7*T2^2 + 51*T1^8*T2^2 - 71*T2^3 + 131*T1*T2^3 + 730*T1^2*T2^3 - 
      1884*T1^3*T2^3 + 1462*T1^4*T2^3 + 1462*T1^5*T2^3 - 1884*T1^6*T2^3 + 
      730*T1^7*T2^3 + 131*T1^8*T2^3 - 71*T1^9*T2^3 + 51*T2^4 + 131*T1*T2^4 - 
      1398*T1^2*T2^4 + 1462*T1^3*T2^4 + 1304*T1^4*T2^4 - 4878*T1^5*T2^4 + 
      1304*T1^6*T2^4 + 1462*T1^7*T2^4 - 1398*T1^8*T2^4 + 131*T1^9*T2^4 + 
      51*T1^10*T2^4 - 20*T2^5 - 207*T1*T2^5 + 730*T1^2*T2^5 + 
      1462*T1^3*T2^5 - 4878*T1^4*T2^5 + 4408*T1^5*T2^5 + 4408*T1^6*T2^5 - 
      4878*T1^7*T2^5 + 1462*T1^8*T2^5 + 730*T1^9*T2^5 - 207*T1^10*T2^5 - 
      20*T1^11*T2^5 + 3*T2^6 + 114*T1*T2^6 + 22*T1^2*T2^6 - 1884*T1^3*T2^6 + 
      1304*T1^4*T2^6 + 4408*T1^5*T2^6 - 11484*T1^6*T2^6 + 4408*T1^7*T2^6 + 
      1304*T1^8*T2^6 - 1884*T1^9*T2^6 + 22*T1^10*T2^6 + 114*T1^11*T2^6 + 
      3*T1^12*T2^6 - 20*T1*T2^7 - 207*T1^2*T2^7 + 730*T1^3*T2^7 + 
      1462*T1^4*T2^7 - 4878*T1^5*T2^7 + 4408*T1^6*T2^7 + 4408*T1^7*T2^7 - 
      4878*T1^8*T2^7 + 1462*T1^9*T2^7 + 730*T1^10*T2^7 - 207*T1^11*T2^7 - 
      20*T1^12*T2^7 + 51*T1^2*T2^8 + 131*T1^3*T2^8 - 1398*T1^4*T2^8 + 
      1462*T1^5*T2^8 + 1304*T1^6*T2^8 - 4878*T1^7*T2^8 + 1304*T1^8*T2^8 + 
      1462*T1^9*T2^8 - 1398*T1^10*T2^8 + 131*T1^11*T2^8 + 51*T1^12*T2^8 - 
      71*T1^3*T2^9 + 131*T1^4*T2^9 + 730*T1^5*T2^9 - 1884*T1^6*T2^9 + 
      1462*T1^7*T2^9 + 1462*T1^8*T2^9 - 1884*T1^9*T2^9 + 730*T1^10*T2^9 + 
      131*T1^11*T2^9 - 71*T1^12*T2^9 + 51*T1^4*T2^10 - 207*T1^5*T2^10 + 
      22*T1^6*T2^10 + 730*T1^7*T2^10 - 1398*T1^8*T2^10 + 730*T1^9*T2^10 + 
      22*T1^10*T2^10 - 207*T1^11*T2^10 + 51*T1^12*T2^10 - 20*T1^5*T2^11 + 
      114*T1^6*T2^11 - 207*T1^7*T2^11 + 131*T1^8*T2^11 + 131*T1^9*T2^11 - 
      207*T1^10*T2^11 + 114*T1^11*T2^11 - 20*T1^12*T2^11 + 3*T1^6*T2^12 - 
      20*T1^7*T2^12 + 51*T1^8*T2^12 - 71*T1^9*T2^12 + 51*T1^10*T2^12 - 
      20*T1^11*T2^12 + 3*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 404] -> 
  {(3 - 17*T + 37*T^2 - 45*T^3 + 37*T^4 - 17*T^5 + 3*T^6)/T^3, 
   -((24 - 131*T1 + 278*T1^2 - 336*T1^3 + 278*T1^4 - 131*T1^5 + 24*T1^6 - 
      131*T2 + 580*T1*T2 - 791*T1^2*T2 + 310*T1^3*T2 + 310*T1^4*T2 - 
      791*T1^5*T2 + 580*T1^6*T2 - 131*T1^7*T2 + 278*T2^2 - 791*T1*T2^2 - 
      410*T1^2*T2^2 + 2851*T1^3*T2^2 - 3572*T1^4*T2^2 + 2851*T1^5*T2^2 - 
      410*T1^6*T2^2 - 791*T1^7*T2^2 + 278*T1^8*T2^2 - 336*T2^3 + 
      310*T1*T2^3 + 2851*T1^2*T2^3 - 5092*T1^3*T2^3 + 1924*T1^4*T2^3 + 
      1924*T1^5*T2^3 - 5092*T1^6*T2^3 + 2851*T1^7*T2^3 + 310*T1^8*T2^3 - 
      336*T1^9*T2^3 + 278*T2^4 + 310*T1*T2^4 - 3572*T1^2*T2^4 + 
      1924*T1^3*T2^4 + 5981*T1^4*T2^4 - 8827*T1^5*T2^4 + 5981*T1^6*T2^4 + 
      1924*T1^7*T2^4 - 3572*T1^8*T2^4 + 310*T1^9*T2^4 + 278*T1^10*T2^4 - 
      131*T2^5 - 791*T1*T2^5 + 2851*T1^2*T2^5 + 1924*T1^3*T2^5 - 
      8827*T1^4*T2^5 + 4448*T1^5*T2^5 + 4448*T1^6*T2^5 - 8827*T1^7*T2^5 + 
      1924*T1^8*T2^5 + 2851*T1^9*T2^5 - 791*T1^10*T2^5 - 131*T1^11*T2^5 + 
      24*T2^6 + 580*T1*T2^6 - 410*T1^2*T2^6 - 5092*T1^3*T2^6 + 
      5981*T1^4*T2^6 + 4448*T1^5*T2^6 - 10068*T1^6*T2^6 + 4448*T1^7*T2^6 + 
      5981*T1^8*T2^6 - 5092*T1^9*T2^6 - 410*T1^10*T2^6 + 580*T1^11*T2^6 + 
      24*T1^12*T2^6 - 131*T1*T2^7 - 791*T1^2*T2^7 + 2851*T1^3*T2^7 + 
      1924*T1^4*T2^7 - 8827*T1^5*T2^7 + 4448*T1^6*T2^7 + 4448*T1^7*T2^7 - 
      8827*T1^8*T2^7 + 1924*T1^9*T2^7 + 2851*T1^10*T2^7 - 791*T1^11*T2^7 - 
      131*T1^12*T2^7 + 278*T1^2*T2^8 + 310*T1^3*T2^8 - 3572*T1^4*T2^8 + 
      1924*T1^5*T2^8 + 5981*T1^6*T2^8 - 8827*T1^7*T2^8 + 5981*T1^8*T2^8 + 
      1924*T1^9*T2^8 - 3572*T1^10*T2^8 + 310*T1^11*T2^8 + 278*T1^12*T2^8 - 
      336*T1^3*T2^9 + 310*T1^4*T2^9 + 2851*T1^5*T2^9 - 5092*T1^6*T2^9 + 
      1924*T1^7*T2^9 + 1924*T1^8*T2^9 - 5092*T1^9*T2^9 + 2851*T1^10*T2^9 + 
      310*T1^11*T2^9 - 336*T1^12*T2^9 + 278*T1^4*T2^10 - 791*T1^5*T2^10 - 
      410*T1^6*T2^10 + 2851*T1^7*T2^10 - 3572*T1^8*T2^10 + 2851*T1^9*T2^10 - 
      410*T1^10*T2^10 - 791*T1^11*T2^10 + 278*T1^12*T2^10 - 131*T1^5*T2^11 + 
      580*T1^6*T2^11 - 791*T1^7*T2^11 + 310*T1^8*T2^11 + 310*T1^9*T2^11 - 
      791*T1^10*T2^11 + 580*T1^11*T2^11 - 131*T1^12*T2^11 + 24*T1^6*T2^12 - 
      131*T1^7*T2^12 + 278*T1^8*T2^12 - 336*T1^9*T2^12 + 278*T1^10*T2^12 - 
      131*T1^11*T2^12 + 24*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 405] -> 
  {(3 - 19*T + 45*T^2 - 57*T^3 + 45*T^4 - 19*T^5 + 3*T^6)/T^3, 
   (30 - 191*T1 + 448*T1^2 - 562*T1^3 + 448*T1^4 - 191*T1^5 + 30*T1^6 - 
     191*T2 + 1026*T1*T2 - 1641*T1^2*T2 + 731*T1^3*T2 + 731*T1^4*T2 - 
     1641*T1^5*T2 + 1026*T1^6*T2 - 191*T1^7*T2 + 448*T2^2 - 1641*T1*T2^2 - 
     565*T1^2*T2^2 + 6877*T1^3*T2^2 - 9443*T1^4*T2^2 + 6877*T1^5*T2^2 - 
     565*T1^6*T2^2 - 1641*T1^7*T2^2 + 448*T1^8*T2^2 - 562*T2^3 + 
     731*T1*T2^3 + 6877*T1^2*T2^3 - 14696*T1^3*T2^3 + 6445*T1^4*T2^3 + 
     6445*T1^5*T2^3 - 14696*T1^6*T2^3 + 6877*T1^7*T2^3 + 731*T1^8*T2^3 - 
     562*T1^9*T2^3 + 448*T2^4 + 731*T1*T2^4 - 9443*T1^2*T2^4 + 
     6445*T1^3*T2^4 + 18037*T1^4*T2^4 - 27619*T1^5*T2^4 + 18037*T1^6*T2^4 + 
     6445*T1^7*T2^4 - 9443*T1^8*T2^4 + 731*T1^9*T2^4 + 448*T1^10*T2^4 - 
     191*T2^5 - 1641*T1*T2^5 + 6877*T1^2*T2^5 + 6445*T1^3*T2^5 - 
     27619*T1^4*T2^5 + 12634*T1^5*T2^5 + 12634*T1^6*T2^5 - 27619*T1^7*T2^5 + 
     6445*T1^8*T2^5 + 6877*T1^9*T2^5 - 1641*T1^10*T2^5 - 191*T1^11*T2^5 + 
     30*T2^6 + 1026*T1*T2^6 - 565*T1^2*T2^6 - 14696*T1^3*T2^6 + 
     18037*T1^4*T2^6 + 12634*T1^5*T2^6 - 25080*T1^6*T2^6 + 12634*T1^7*T2^6 + 
     18037*T1^8*T2^6 - 14696*T1^9*T2^6 - 565*T1^10*T2^6 + 1026*T1^11*T2^6 + 
     30*T1^12*T2^6 - 191*T1*T2^7 - 1641*T1^2*T2^7 + 6877*T1^3*T2^7 + 
     6445*T1^4*T2^7 - 27619*T1^5*T2^7 + 12634*T1^6*T2^7 + 12634*T1^7*T2^7 - 
     27619*T1^8*T2^7 + 6445*T1^9*T2^7 + 6877*T1^10*T2^7 - 1641*T1^11*T2^7 - 
     191*T1^12*T2^7 + 448*T1^2*T2^8 + 731*T1^3*T2^8 - 9443*T1^4*T2^8 + 
     6445*T1^5*T2^8 + 18037*T1^6*T2^8 - 27619*T1^7*T2^8 + 18037*T1^8*T2^8 + 
     6445*T1^9*T2^8 - 9443*T1^10*T2^8 + 731*T1^11*T2^8 + 448*T1^12*T2^8 - 
     562*T1^3*T2^9 + 731*T1^4*T2^9 + 6877*T1^5*T2^9 - 14696*T1^6*T2^9 + 
     6445*T1^7*T2^9 + 6445*T1^8*T2^9 - 14696*T1^9*T2^9 + 6877*T1^10*T2^9 + 
     731*T1^11*T2^9 - 562*T1^12*T2^9 + 448*T1^4*T2^10 - 1641*T1^5*T2^10 - 
     565*T1^6*T2^10 + 6877*T1^7*T2^10 - 9443*T1^8*T2^10 + 6877*T1^9*T2^10 - 
     565*T1^10*T2^10 - 1641*T1^11*T2^10 + 448*T1^12*T2^10 - 191*T1^5*T2^11 + 
     1026*T1^6*T2^11 - 1641*T1^7*T2^11 + 731*T1^8*T2^11 + 731*T1^9*T2^11 - 
     1641*T1^10*T2^11 + 1026*T1^11*T2^11 - 191*T1^12*T2^11 + 30*T1^6*T2^12 - 
     191*T1^7*T2^12 + 448*T1^8*T2^12 - 562*T1^9*T2^12 + 448*T1^10*T2^12 - 
     191*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 406] -> 
  {(2 - 16*T + 43*T^2 - 57*T^3 + 43*T^4 - 16*T^5 + 2*T^6)/T^3, 
   (9 - 71*T1 + 187*T1^2 - 245*T1^3 + 187*T1^4 - 71*T1^5 + 9*T1^6 - 71*T2 + 
     490*T1*T2 - 920*T1^2*T2 + 462*T1^3*T2 + 462*T1^4*T2 - 920*T1^5*T2 + 
     490*T1^6*T2 - 71*T1^7*T2 + 187*T2^2 - 920*T1*T2^2 - 324*T1^2*T2^2 + 
     5074*T1^3*T2^2 - 7532*T1^4*T2^2 + 5074*T1^5*T2^2 - 324*T1^6*T2^2 - 
     920*T1^7*T2^2 + 187*T1^8*T2^2 - 245*T2^3 + 462*T1*T2^3 + 
     5074*T1^2*T2^3 - 12768*T1^3*T2^3 + 6584*T1^4*T2^3 + 6584*T1^5*T2^3 - 
     12768*T1^6*T2^3 + 5074*T1^7*T2^3 + 462*T1^8*T2^3 - 245*T1^9*T2^3 + 
     187*T2^4 + 462*T1*T2^4 - 7532*T1^2*T2^4 + 6584*T1^3*T2^4 + 
     17392*T1^4*T2^4 - 30142*T1^5*T2^4 + 17392*T1^6*T2^4 + 6584*T1^7*T2^4 - 
     7532*T1^8*T2^4 + 462*T1^9*T2^4 + 187*T1^10*T2^4 - 71*T2^5 - 
     920*T1*T2^5 + 5074*T1^2*T2^5 + 6584*T1^3*T2^5 - 30142*T1^4*T2^5 + 
     16290*T1^5*T2^5 + 16290*T1^6*T2^5 - 30142*T1^7*T2^5 + 6584*T1^8*T2^5 + 
     5074*T1^9*T2^5 - 920*T1^10*T2^5 - 71*T1^11*T2^5 + 9*T2^6 + 490*T1*T2^6 - 
     324*T1^2*T2^6 - 12768*T1^3*T2^6 + 17392*T1^4*T2^6 + 16290*T1^5*T2^6 - 
     34812*T1^6*T2^6 + 16290*T1^7*T2^6 + 17392*T1^8*T2^6 - 12768*T1^9*T2^6 - 
     324*T1^10*T2^6 + 490*T1^11*T2^6 + 9*T1^12*T2^6 - 71*T1*T2^7 - 
     920*T1^2*T2^7 + 5074*T1^3*T2^7 + 6584*T1^4*T2^7 - 30142*T1^5*T2^7 + 
     16290*T1^6*T2^7 + 16290*T1^7*T2^7 - 30142*T1^8*T2^7 + 6584*T1^9*T2^7 + 
     5074*T1^10*T2^7 - 920*T1^11*T2^7 - 71*T1^12*T2^7 + 187*T1^2*T2^8 + 
     462*T1^3*T2^8 - 7532*T1^4*T2^8 + 6584*T1^5*T2^8 + 17392*T1^6*T2^8 - 
     30142*T1^7*T2^8 + 17392*T1^8*T2^8 + 6584*T1^9*T2^8 - 7532*T1^10*T2^8 + 
     462*T1^11*T2^8 + 187*T1^12*T2^8 - 245*T1^3*T2^9 + 462*T1^4*T2^9 + 
     5074*T1^5*T2^9 - 12768*T1^6*T2^9 + 6584*T1^7*T2^9 + 6584*T1^8*T2^9 - 
     12768*T1^9*T2^9 + 5074*T1^10*T2^9 + 462*T1^11*T2^9 - 245*T1^12*T2^9 + 
     187*T1^4*T2^10 - 920*T1^5*T2^10 - 324*T1^6*T2^10 + 5074*T1^7*T2^10 - 
     7532*T1^8*T2^10 + 5074*T1^9*T2^10 - 324*T1^10*T2^10 - 920*T1^11*T2^10 + 
     187*T1^12*T2^10 - 71*T1^5*T2^11 + 490*T1^6*T2^11 - 920*T1^7*T2^11 + 
     462*T1^8*T2^11 + 462*T1^9*T2^11 - 920*T1^10*T2^11 + 490*T1^11*T2^11 - 
     71*T1^12*T2^11 + 9*T1^6*T2^12 - 71*T1^7*T2^12 + 187*T1^8*T2^12 - 
     245*T1^9*T2^12 + 187*T1^10*T2^12 - 71*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 407] -> 
  {(3 - 21*T + 60*T^2 - 83*T^3 + 60*T^4 - 21*T^5 + 3*T^6)/T^3, 
   -((30 - 210*T1 + 599*T1^2 - 826*T1^3 + 599*T1^4 - 210*T1^5 + 30*T1^6 - 
      210*T2 + 1262*T1*T2 - 2730*T1^2*T2 + 1595*T1^3*T2 + 1595*T1^4*T2 - 
      2730*T1^5*T2 + 1262*T1^6*T2 - 210*T1^7*T2 + 599*T2^2 - 2730*T1*T2^2 + 
      2239*T1^2*T2^2 + 8916*T1^3*T2^2 - 16991*T1^4*T2^2 + 8916*T1^5*T2^2 + 
      2239*T1^6*T2^2 - 2730*T1^7*T2^2 + 599*T1^8*T2^2 - 826*T2^3 + 
      1595*T1*T2^3 + 8916*T1^2*T2^3 - 33396*T1^3*T2^3 + 21720*T1^4*T2^3 + 
      21720*T1^5*T2^3 - 33396*T1^6*T2^3 + 8916*T1^7*T2^3 + 1595*T1^8*T2^3 - 
      826*T1^9*T2^3 + 599*T2^4 + 1595*T1*T2^4 - 16991*T1^2*T2^4 + 
      21720*T1^3*T2^4 + 53317*T1^4*T2^4 - 110707*T1^5*T2^4 + 
      53317*T1^6*T2^4 + 21720*T1^7*T2^4 - 16991*T1^8*T2^4 + 1595*T1^9*T2^4 + 
      599*T1^10*T2^4 - 210*T2^5 - 2730*T1*T2^5 + 8916*T1^2*T2^5 + 
      21720*T1^3*T2^5 - 110707*T1^4*T2^5 + 74794*T1^5*T2^5 + 
      74794*T1^6*T2^5 - 110707*T1^7*T2^5 + 21720*T1^8*T2^5 + 8916*T1^9*T2^5 - 
      2730*T1^10*T2^5 - 210*T1^11*T2^5 + 30*T2^6 + 1262*T1*T2^6 + 
      2239*T1^2*T2^6 - 33396*T1^3*T2^6 + 53317*T1^4*T2^6 + 74794*T1^5*T2^6 - 
      177012*T1^6*T2^6 + 74794*T1^7*T2^6 + 53317*T1^8*T2^6 - 
      33396*T1^9*T2^6 + 2239*T1^10*T2^6 + 1262*T1^11*T2^6 + 30*T1^12*T2^6 - 
      210*T1*T2^7 - 2730*T1^2*T2^7 + 8916*T1^3*T2^7 + 21720*T1^4*T2^7 - 
      110707*T1^5*T2^7 + 74794*T1^6*T2^7 + 74794*T1^7*T2^7 - 
      110707*T1^8*T2^7 + 21720*T1^9*T2^7 + 8916*T1^10*T2^7 - 
      2730*T1^11*T2^7 - 210*T1^12*T2^7 + 599*T1^2*T2^8 + 1595*T1^3*T2^8 - 
      16991*T1^4*T2^8 + 21720*T1^5*T2^8 + 53317*T1^6*T2^8 - 
      110707*T1^7*T2^8 + 53317*T1^8*T2^8 + 21720*T1^9*T2^8 - 
      16991*T1^10*T2^8 + 1595*T1^11*T2^8 + 599*T1^12*T2^8 - 826*T1^3*T2^9 + 
      1595*T1^4*T2^9 + 8916*T1^5*T2^9 - 33396*T1^6*T2^9 + 21720*T1^7*T2^9 + 
      21720*T1^8*T2^9 - 33396*T1^9*T2^9 + 8916*T1^10*T2^9 + 1595*T1^11*T2^9 - 
      826*T1^12*T2^9 + 599*T1^4*T2^10 - 2730*T1^5*T2^10 + 2239*T1^6*T2^10 + 
      8916*T1^7*T2^10 - 16991*T1^8*T2^10 + 8916*T1^9*T2^10 + 
      2239*T1^10*T2^10 - 2730*T1^11*T2^10 + 599*T1^12*T2^10 - 
      210*T1^5*T2^11 + 1262*T1^6*T2^11 - 2730*T1^7*T2^11 + 1595*T1^8*T2^11 + 
      1595*T1^9*T2^11 - 2730*T1^10*T2^11 + 1262*T1^11*T2^11 - 
      210*T1^12*T2^11 + 30*T1^6*T2^12 - 210*T1^7*T2^12 + 599*T1^8*T2^12 - 
      826*T1^9*T2^12 + 599*T1^10*T2^12 - 210*T1^11*T2^12 + 30*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, Alternating, 408] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(5 - 9*T + 5*T^2))/T^3), 
   -((270 - 1540*T1 + 3442*T1^2 - 4406*T1^3 + 3442*T1^4 - 1540*T1^5 + 
      270*T1^6 - 1540*T2 + 7266*T1*T2 - 10936*T1^2*T2 + 5556*T1^3*T2 + 
      5556*T1^4*T2 - 10936*T1^5*T2 + 7266*T1^6*T2 - 1540*T1^7*T2 + 
      3442*T2^2 - 10936*T1*T2^2 - 2386*T1^2*T2^2 + 36073*T1^3*T2^2 - 
      55798*T1^4*T2^2 + 36073*T1^5*T2^2 - 2386*T1^6*T2^2 - 10936*T1^7*T2^2 + 
      3442*T1^8*T2^2 - 4406*T2^3 + 5556*T1*T2^3 + 36073*T1^2*T2^3 - 
      72514*T1^3*T2^3 + 40355*T1^4*T2^3 + 40355*T1^5*T2^3 - 72514*T1^6*T2^3 + 
      36073*T1^7*T2^3 + 5556*T1^8*T2^3 - 4406*T1^9*T2^3 + 3442*T2^4 + 
      5556*T1*T2^4 - 55798*T1^2*T2^4 + 40355*T1^3*T2^4 + 58718*T1^4*T2^4 - 
      125204*T1^5*T2^4 + 58718*T1^6*T2^4 + 40355*T1^7*T2^4 - 
      55798*T1^8*T2^4 + 5556*T1^9*T2^4 + 3442*T1^10*T2^4 - 1540*T2^5 - 
      10936*T1*T2^5 + 36073*T1^2*T2^5 + 40355*T1^3*T2^5 - 125204*T1^4*T2^5 + 
      76742*T1^5*T2^5 + 76742*T1^6*T2^5 - 125204*T1^7*T2^5 + 
      40355*T1^8*T2^5 + 36073*T1^9*T2^5 - 10936*T1^10*T2^5 - 
      1540*T1^11*T2^5 + 270*T2^6 + 7266*T1*T2^6 - 2386*T1^2*T2^6 - 
      72514*T1^3*T2^6 + 58718*T1^4*T2^6 + 76742*T1^5*T2^6 - 
      171528*T1^6*T2^6 + 76742*T1^7*T2^6 + 58718*T1^8*T2^6 - 
      72514*T1^9*T2^6 - 2386*T1^10*T2^6 + 7266*T1^11*T2^6 + 270*T1^12*T2^6 - 
      1540*T1*T2^7 - 10936*T1^2*T2^7 + 36073*T1^3*T2^7 + 40355*T1^4*T2^7 - 
      125204*T1^5*T2^7 + 76742*T1^6*T2^7 + 76742*T1^7*T2^7 - 
      125204*T1^8*T2^7 + 40355*T1^9*T2^7 + 36073*T1^10*T2^7 - 
      10936*T1^11*T2^7 - 1540*T1^12*T2^7 + 3442*T1^2*T2^8 + 5556*T1^3*T2^8 - 
      55798*T1^4*T2^8 + 40355*T1^5*T2^8 + 58718*T1^6*T2^8 - 
      125204*T1^7*T2^8 + 58718*T1^8*T2^8 + 40355*T1^9*T2^8 - 
      55798*T1^10*T2^8 + 5556*T1^11*T2^8 + 3442*T1^12*T2^8 - 4406*T1^3*T2^9 + 
      5556*T1^4*T2^9 + 36073*T1^5*T2^9 - 72514*T1^6*T2^9 + 40355*T1^7*T2^9 + 
      40355*T1^8*T2^9 - 72514*T1^9*T2^9 + 36073*T1^10*T2^9 + 
      5556*T1^11*T2^9 - 4406*T1^12*T2^9 + 3442*T1^4*T2^10 - 
      10936*T1^5*T2^10 - 2386*T1^6*T2^10 + 36073*T1^7*T2^10 - 
      55798*T1^8*T2^10 + 36073*T1^9*T2^10 - 2386*T1^10*T2^10 - 
      10936*T1^11*T2^10 + 3442*T1^12*T2^10 - 1540*T1^5*T2^11 + 
      7266*T1^6*T2^11 - 10936*T1^7*T2^11 + 5556*T1^8*T2^11 + 
      5556*T1^9*T2^11 - 10936*T1^10*T2^11 + 7266*T1^11*T2^11 - 
      1540*T1^12*T2^11 + 270*T1^6*T2^12 - 1540*T1^7*T2^12 + 3442*T1^8*T2^12 - 
      4406*T1^9*T2^12 + 3442*T1^10*T2^12 - 1540*T1^11*T2^12 + 
      270*T1^12*T2^12)/(T1^6*T2^6))}, 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), -((25 - 123*T1 + 242*T1^2 - 325*T1^3 + 349*T1^4 - 325*T1^5 + 
      242*T1^6 - 123*T1^7 + 25*T1^8 - 123*T2 + 484*T1*T2 - 592*T1^2*T2 + 
      413*T1^3*T2 - 119*T1^4*T2 - 119*T1^5*T2 + 413*T1^6*T2 - 592*T1^7*T2 + 
      484*T1^8*T2 - 123*T1^9*T2 + 242*T2^2 - 592*T1*T2^2 - 371*T1^2*T2^2 + 
      1541*T1^3*T2^2 - 2198*T1^4*T2^2 + 2215*T1^5*T2^2 - 2198*T1^6*T2^2 + 
      1541*T1^7*T2^2 - 371*T1^8*T2^2 - 592*T1^9*T2^2 + 242*T1^10*T2^2 - 
      325*T2^3 + 413*T1*T2^3 + 1541*T1^2*T2^3 - 1988*T1^3*T2^3 + 
      1230*T1^4*T2^3 - 149*T1^5*T2^3 - 149*T1^6*T2^3 + 1230*T1^7*T2^3 - 
      1988*T1^8*T2^3 + 1541*T1^9*T2^3 + 413*T1^10*T2^3 - 325*T1^11*T2^3 + 
      349*T2^4 - 119*T1*T2^4 - 2198*T1^2*T2^4 + 1230*T1^3*T2^4 - 
      374*T1^4*T2^4 + 190*T1^5*T2^4 - 976*T1^6*T2^4 + 190*T1^7*T2^4 - 
      374*T1^8*T2^4 + 1230*T1^9*T2^4 - 2198*T1^10*T2^4 - 119*T1^11*T2^4 + 
      349*T1^12*T2^4 - 325*T2^5 - 119*T1*T2^5 + 2215*T1^2*T2^5 - 
      149*T1^3*T2^5 + 190*T1^4*T2^5 - 316*T1^5*T2^5 + 712*T1^6*T2^5 + 
      712*T1^7*T2^5 - 316*T1^8*T2^5 + 190*T1^9*T2^5 - 149*T1^10*T2^5 + 
      2215*T1^11*T2^5 - 119*T1^12*T2^5 - 325*T1^13*T2^5 + 242*T2^6 + 
      413*T1*T2^6 - 2198*T1^2*T2^6 - 149*T1^3*T2^6 - 976*T1^4*T2^6 + 
      712*T1^5*T2^6 - 926*T1^6*T2^6 - 102*T1^7*T2^6 - 926*T1^8*T2^6 + 
      712*T1^9*T2^6 - 976*T1^10*T2^6 - 149*T1^11*T2^6 - 2198*T1^12*T2^6 + 
      413*T1^13*T2^6 + 242*T1^14*T2^6 - 123*T2^7 - 592*T1*T2^7 + 
      1541*T1^2*T2^7 + 1230*T1^3*T2^7 + 190*T1^4*T2^7 + 712*T1^5*T2^7 - 
      102*T1^6*T2^7 + 570*T1^7*T2^7 + 570*T1^8*T2^7 - 102*T1^9*T2^7 + 
      712*T1^10*T2^7 + 190*T1^11*T2^7 + 1230*T1^12*T2^7 + 1541*T1^13*T2^7 - 
      592*T1^14*T2^7 - 123*T1^15*T2^7 + 25*T2^8 + 484*T1*T2^8 - 
      371*T1^2*T2^8 - 1988*T1^3*T2^8 - 374*T1^4*T2^8 - 316*T1^5*T2^8 - 
      926*T1^6*T2^8 + 570*T1^7*T2^8 - 1404*T1^8*T2^8 + 570*T1^9*T2^8 - 
      926*T1^10*T2^8 - 316*T1^11*T2^8 - 374*T1^12*T2^8 - 1988*T1^13*T2^8 - 
      371*T1^14*T2^8 + 484*T1^15*T2^8 + 25*T1^16*T2^8 - 123*T1*T2^9 - 
      592*T1^2*T2^9 + 1541*T1^3*T2^9 + 1230*T1^4*T2^9 + 190*T1^5*T2^9 + 
      712*T1^6*T2^9 - 102*T1^7*T2^9 + 570*T1^8*T2^9 + 570*T1^9*T2^9 - 
      102*T1^10*T2^9 + 712*T1^11*T2^9 + 190*T1^12*T2^9 + 1230*T1^13*T2^9 + 
      1541*T1^14*T2^9 - 592*T1^15*T2^9 - 123*T1^16*T2^9 + 242*T1^2*T2^10 + 
      413*T1^3*T2^10 - 2198*T1^4*T2^10 - 149*T1^5*T2^10 - 976*T1^6*T2^10 + 
      712*T1^7*T2^10 - 926*T1^8*T2^10 - 102*T1^9*T2^10 - 926*T1^10*T2^10 + 
      712*T1^11*T2^10 - 976*T1^12*T2^10 - 149*T1^13*T2^10 - 
      2198*T1^14*T2^10 + 413*T1^15*T2^10 + 242*T1^16*T2^10 - 325*T1^3*T2^11 - 
      119*T1^4*T2^11 + 2215*T1^5*T2^11 - 149*T1^6*T2^11 + 190*T1^7*T2^11 - 
      316*T1^8*T2^11 + 712*T1^9*T2^11 + 712*T1^10*T2^11 - 316*T1^11*T2^11 + 
      190*T1^12*T2^11 - 149*T1^13*T2^11 + 2215*T1^14*T2^11 - 
      119*T1^15*T2^11 - 325*T1^16*T2^11 + 349*T1^4*T2^12 - 119*T1^5*T2^12 - 
      2198*T1^6*T2^12 + 1230*T1^7*T2^12 - 374*T1^8*T2^12 + 190*T1^9*T2^12 - 
      976*T1^10*T2^12 + 190*T1^11*T2^12 - 374*T1^12*T2^12 + 
      1230*T1^13*T2^12 - 2198*T1^14*T2^12 - 119*T1^15*T2^12 + 
      349*T1^16*T2^12 - 325*T1^5*T2^13 + 413*T1^6*T2^13 + 1541*T1^7*T2^13 - 
      1988*T1^8*T2^13 + 1230*T1^9*T2^13 - 149*T1^10*T2^13 - 149*T1^11*T2^13 + 
      1230*T1^12*T2^13 - 1988*T1^13*T2^13 + 1541*T1^14*T2^13 + 
      413*T1^15*T2^13 - 325*T1^16*T2^13 + 242*T1^6*T2^14 - 592*T1^7*T2^14 - 
      371*T1^8*T2^14 + 1541*T1^9*T2^14 - 2198*T1^10*T2^14 + 
      2215*T1^11*T2^14 - 2198*T1^12*T2^14 + 1541*T1^13*T2^14 - 
      371*T1^14*T2^14 - 592*T1^15*T2^14 + 242*T1^16*T2^14 - 123*T1^7*T2^15 + 
      484*T1^8*T2^15 - 592*T1^9*T2^15 + 413*T1^10*T2^15 - 119*T1^11*T2^15 - 
      119*T1^12*T2^15 + 413*T1^13*T2^15 - 592*T1^14*T2^15 + 484*T1^15*T2^15 - 
      123*T1^16*T2^15 + 25*T1^8*T2^16 - 123*T1^9*T2^16 + 242*T1^10*T2^16 - 
      325*T1^11*T2^16 + 349*T1^12*T2^16 - 325*T1^13*T2^16 + 242*T1^14*T2^16 - 
      123*T1^15*T2^16 + 25*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 410] -> 
  {-((4 - 22*T + 48*T^2 - 61*T^3 + 48*T^4 - 22*T^5 + 4*T^6)/T^3), 
   -((144 - 772*T1 + 1644*T1^2 - 2072*T1^3 + 1644*T1^4 - 772*T1^5 + 
      144*T1^6 - 772*T2 + 3382*T1*T2 - 4732*T1^2*T2 + 2332*T1^3*T2 + 
      2332*T1^4*T2 - 4732*T1^5*T2 + 3382*T1^6*T2 - 772*T1^7*T2 + 1644*T2^2 - 
      4732*T1*T2^2 - 1551*T1^2*T2^2 + 14775*T1^3*T2^2 - 22225*T1^4*T2^2 + 
      14775*T1^5*T2^2 - 1551*T1^6*T2^2 - 4732*T1^7*T2^2 + 1644*T1^8*T2^2 - 
      2072*T2^3 + 2332*T1*T2^3 + 14775*T1^2*T2^3 - 26736*T1^3*T2^3 + 
      14456*T1^4*T2^3 + 14456*T1^5*T2^3 - 26736*T1^6*T2^3 + 14775*T1^7*T2^3 + 
      2332*T1^8*T2^3 - 2072*T1^9*T2^3 + 1644*T2^4 + 2332*T1*T2^4 - 
      22225*T1^2*T2^4 + 14456*T1^3*T2^4 + 18492*T1^4*T2^4 - 40204*T1^5*T2^4 + 
      18492*T1^6*T2^4 + 14456*T1^7*T2^4 - 22225*T1^8*T2^4 + 2332*T1^9*T2^4 + 
      1644*T1^10*T2^4 - 772*T2^5 - 4732*T1*T2^5 + 14775*T1^2*T2^5 + 
      14456*T1^3*T2^5 - 40204*T1^4*T2^5 + 24380*T1^5*T2^5 + 24380*T1^6*T2^5 - 
      40204*T1^7*T2^5 + 14456*T1^8*T2^5 + 14775*T1^9*T2^5 - 4732*T1^10*T2^5 - 
      772*T1^11*T2^5 + 144*T2^6 + 3382*T1*T2^6 - 1551*T1^2*T2^6 - 
      26736*T1^3*T2^6 + 18492*T1^4*T2^6 + 24380*T1^5*T2^6 - 54096*T1^6*T2^6 + 
      24380*T1^7*T2^6 + 18492*T1^8*T2^6 - 26736*T1^9*T2^6 - 1551*T1^10*T2^6 + 
      3382*T1^11*T2^6 + 144*T1^12*T2^6 - 772*T1*T2^7 - 4732*T1^2*T2^7 + 
      14775*T1^3*T2^7 + 14456*T1^4*T2^7 - 40204*T1^5*T2^7 + 24380*T1^6*T2^7 + 
      24380*T1^7*T2^7 - 40204*T1^8*T2^7 + 14456*T1^9*T2^7 + 
      14775*T1^10*T2^7 - 4732*T1^11*T2^7 - 772*T1^12*T2^7 + 1644*T1^2*T2^8 + 
      2332*T1^3*T2^8 - 22225*T1^4*T2^8 + 14456*T1^5*T2^8 + 18492*T1^6*T2^8 - 
      40204*T1^7*T2^8 + 18492*T1^8*T2^8 + 14456*T1^9*T2^8 - 
      22225*T1^10*T2^8 + 2332*T1^11*T2^8 + 1644*T1^12*T2^8 - 2072*T1^3*T2^9 + 
      2332*T1^4*T2^9 + 14775*T1^5*T2^9 - 26736*T1^6*T2^9 + 14456*T1^7*T2^9 + 
      14456*T1^8*T2^9 - 26736*T1^9*T2^9 + 14775*T1^10*T2^9 + 
      2332*T1^11*T2^9 - 2072*T1^12*T2^9 + 1644*T1^4*T2^10 - 4732*T1^5*T2^10 - 
      1551*T1^6*T2^10 + 14775*T1^7*T2^10 - 22225*T1^8*T2^10 + 
      14775*T1^9*T2^10 - 1551*T1^10*T2^10 - 4732*T1^11*T2^10 + 
      1644*T1^12*T2^10 - 772*T1^5*T2^11 + 3382*T1^6*T2^11 - 4732*T1^7*T2^11 + 
      2332*T1^8*T2^11 + 2332*T1^9*T2^11 - 4732*T1^10*T2^11 + 
      3382*T1^11*T2^11 - 772*T1^12*T2^11 + 144*T1^6*T2^12 - 772*T1^7*T2^12 + 
      1644*T1^8*T2^12 - 2072*T1^9*T2^12 + 1644*T1^10*T2^12 - 
      772*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, -((17 - 75*T1 + 174*T1^2 - 239*T1^3 + 255*T1^4 - 239*T1^5 + 
      174*T1^6 - 75*T1^7 + 17*T1^8 - 75*T2 + 256*T1*T2 - 436*T1^2*T2 + 
      287*T1^3*T2 - 71*T1^4*T2 - 71*T1^5*T2 + 287*T1^6*T2 - 436*T1^7*T2 + 
      256*T1^8*T2 - 75*T1^9*T2 + 174*T2^2 - 436*T1*T2^2 + 482*T1^2*T2^2 + 
      216*T1^3*T2^2 - 365*T1^4*T2^2 + 206*T1^5*T2^2 - 365*T1^6*T2^2 + 
      216*T1^7*T2^2 + 482*T1^8*T2^2 - 436*T1^9*T2^2 + 174*T1^10*T2^2 - 
      239*T2^3 + 287*T1*T2^3 + 216*T1^2*T2^3 - 1480*T1^3*T2^3 + 
      644*T1^4*T2^3 + 71*T1^5*T2^3 + 71*T1^6*T2^3 + 644*T1^7*T2^3 - 
      1480*T1^8*T2^3 + 216*T1^9*T2^3 + 287*T1^10*T2^3 - 239*T1^11*T2^3 + 
      255*T2^4 - 71*T1*T2^4 - 365*T1^2*T2^4 + 644*T1^3*T2^4 + 
      2491*T1^4*T2^4 - 3193*T1^5*T2^4 + 2557*T1^6*T2^4 - 3193*T1^7*T2^4 + 
      2491*T1^8*T2^4 + 644*T1^9*T2^4 - 365*T1^10*T2^4 - 71*T1^11*T2^4 + 
      255*T1^12*T2^4 - 239*T2^5 - 71*T1*T2^5 + 206*T1^2*T2^5 + 71*T1^3*T2^5 - 
      3193*T1^4*T2^5 + 1360*T1^5*T2^5 + 194*T1^6*T2^5 + 194*T1^7*T2^5 + 
      1360*T1^8*T2^5 - 3193*T1^9*T2^5 + 71*T1^10*T2^5 + 206*T1^11*T2^5 - 
      71*T1^12*T2^5 - 239*T1^13*T2^5 + 174*T2^6 + 287*T1*T2^6 - 
      365*T1^2*T2^6 + 71*T1^3*T2^6 + 2557*T1^4*T2^6 + 194*T1^5*T2^6 - 
      368*T1^6*T2^6 - 652*T1^7*T2^6 - 368*T1^8*T2^6 + 194*T1^9*T2^6 + 
      2557*T1^10*T2^6 + 71*T1^11*T2^6 - 365*T1^12*T2^6 + 287*T1^13*T2^6 + 
      174*T1^14*T2^6 - 75*T2^7 - 436*T1*T2^7 + 216*T1^2*T2^7 + 
      644*T1^3*T2^7 - 3193*T1^4*T2^7 + 194*T1^5*T2^7 - 652*T1^6*T2^7 + 
      720*T1^7*T2^7 + 720*T1^8*T2^7 - 652*T1^9*T2^7 + 194*T1^10*T2^7 - 
      3193*T1^11*T2^7 + 644*T1^12*T2^7 + 216*T1^13*T2^7 - 436*T1^14*T2^7 - 
      75*T1^15*T2^7 + 17*T2^8 + 256*T1*T2^8 + 482*T1^2*T2^8 - 
      1480*T1^3*T2^8 + 2491*T1^4*T2^8 + 1360*T1^5*T2^8 - 368*T1^6*T2^8 + 
      720*T1^7*T2^8 - 1548*T1^8*T2^8 + 720*T1^9*T2^8 - 368*T1^10*T2^8 + 
      1360*T1^11*T2^8 + 2491*T1^12*T2^8 - 1480*T1^13*T2^8 + 482*T1^14*T2^8 + 
      256*T1^15*T2^8 + 17*T1^16*T2^8 - 75*T1*T2^9 - 436*T1^2*T2^9 + 
      216*T1^3*T2^9 + 644*T1^4*T2^9 - 3193*T1^5*T2^9 + 194*T1^6*T2^9 - 
      652*T1^7*T2^9 + 720*T1^8*T2^9 + 720*T1^9*T2^9 - 652*T1^10*T2^9 + 
      194*T1^11*T2^9 - 3193*T1^12*T2^9 + 644*T1^13*T2^9 + 216*T1^14*T2^9 - 
      436*T1^15*T2^9 - 75*T1^16*T2^9 + 174*T1^2*T2^10 + 287*T1^3*T2^10 - 
      365*T1^4*T2^10 + 71*T1^5*T2^10 + 2557*T1^6*T2^10 + 194*T1^7*T2^10 - 
      368*T1^8*T2^10 - 652*T1^9*T2^10 - 368*T1^10*T2^10 + 194*T1^11*T2^10 + 
      2557*T1^12*T2^10 + 71*T1^13*T2^10 - 365*T1^14*T2^10 + 287*T1^15*T2^10 + 
      174*T1^16*T2^10 - 239*T1^3*T2^11 - 71*T1^4*T2^11 + 206*T1^5*T2^11 + 
      71*T1^6*T2^11 - 3193*T1^7*T2^11 + 1360*T1^8*T2^11 + 194*T1^9*T2^11 + 
      194*T1^10*T2^11 + 1360*T1^11*T2^11 - 3193*T1^12*T2^11 + 
      71*T1^13*T2^11 + 206*T1^14*T2^11 - 71*T1^15*T2^11 - 239*T1^16*T2^11 + 
      255*T1^4*T2^12 - 71*T1^5*T2^12 - 365*T1^6*T2^12 + 644*T1^7*T2^12 + 
      2491*T1^8*T2^12 - 3193*T1^9*T2^12 + 2557*T1^10*T2^12 - 
      3193*T1^11*T2^12 + 2491*T1^12*T2^12 + 644*T1^13*T2^12 - 
      365*T1^14*T2^12 - 71*T1^15*T2^12 + 255*T1^16*T2^12 - 239*T1^5*T2^13 + 
      287*T1^6*T2^13 + 216*T1^7*T2^13 - 1480*T1^8*T2^13 + 644*T1^9*T2^13 + 
      71*T1^10*T2^13 + 71*T1^11*T2^13 + 644*T1^12*T2^13 - 1480*T1^13*T2^13 + 
      216*T1^14*T2^13 + 287*T1^15*T2^13 - 239*T1^16*T2^13 + 174*T1^6*T2^14 - 
      436*T1^7*T2^14 + 482*T1^8*T2^14 + 216*T1^9*T2^14 - 365*T1^10*T2^14 + 
      206*T1^11*T2^14 - 365*T1^12*T2^14 + 216*T1^13*T2^14 + 482*T1^14*T2^14 - 
      436*T1^15*T2^14 + 174*T1^16*T2^14 - 75*T1^7*T2^15 + 256*T1^8*T2^15 - 
      436*T1^9*T2^15 + 287*T1^10*T2^15 - 71*T1^11*T2^15 - 71*T1^12*T2^15 + 
      287*T1^13*T2^15 - 436*T1^14*T2^15 + 256*T1^15*T2^15 - 75*T1^16*T2^15 + 
      17*T1^8*T2^16 - 75*T1^9*T2^16 + 174*T1^10*T2^16 - 239*T1^11*T2^16 + 
      255*T1^12*T2^16 - 239*T1^13*T2^16 + 174*T1^14*T2^16 - 75*T1^15*T2^16 + 
      17*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 412] -> 
  {(4 - 20*T + 49*T^2 - 65*T^3 + 49*T^4 - 20*T^5 + 4*T^6)/T^3, 
   -((80 - 384*T1 + 928*T1^2 - 1224*T1^3 + 928*T1^4 - 384*T1^5 + 80*T1^6 - 
      384*T2 + 1460*T1*T2 - 2604*T1^2*T2 + 1416*T1^3*T2 + 1416*T1^4*T2 - 
      2604*T1^5*T2 + 1460*T1^6*T2 - 384*T1^7*T2 + 928*T2^2 - 2604*T1*T2^2 + 
      2770*T1^2*T2^2 + 2872*T1^3*T2^2 - 6870*T1^4*T2^2 + 2872*T1^5*T2^2 + 
      2770*T1^6*T2^2 - 2604*T1^7*T2^2 + 928*T1^8*T2^2 - 1224*T2^3 + 
      1416*T1*T2^3 + 2872*T1^2*T2^3 - 13006*T1^3*T2^3 + 8336*T1^4*T2^3 + 
      8336*T1^5*T2^3 - 13006*T1^6*T2^3 + 2872*T1^7*T2^3 + 1416*T1^8*T2^3 - 
      1224*T1^9*T2^3 + 928*T2^4 + 1416*T1*T2^4 - 6870*T1^2*T2^4 + 
      8336*T1^3*T2^4 + 18347*T1^4*T2^4 - 37523*T1^5*T2^4 + 18347*T1^6*T2^4 + 
      8336*T1^7*T2^4 - 6870*T1^8*T2^4 + 1416*T1^9*T2^4 + 928*T1^10*T2^4 - 
      384*T2^5 - 2604*T1*T2^5 + 2872*T1^2*T2^5 + 8336*T1^3*T2^5 - 
      37523*T1^4*T2^5 + 24058*T1^5*T2^5 + 24058*T1^6*T2^5 - 37523*T1^7*T2^5 + 
      8336*T1^8*T2^5 + 2872*T1^9*T2^5 - 2604*T1^10*T2^5 - 384*T1^11*T2^5 + 
      80*T2^6 + 1460*T1*T2^6 + 2770*T1^2*T2^6 - 13006*T1^3*T2^6 + 
      18347*T1^4*T2^6 + 24058*T1^5*T2^6 - 55320*T1^6*T2^6 + 24058*T1^7*T2^6 + 
      18347*T1^8*T2^6 - 13006*T1^9*T2^6 + 2770*T1^10*T2^6 + 1460*T1^11*T2^6 + 
      80*T1^12*T2^6 - 384*T1*T2^7 - 2604*T1^2*T2^7 + 2872*T1^3*T2^7 + 
      8336*T1^4*T2^7 - 37523*T1^5*T2^7 + 24058*T1^6*T2^7 + 24058*T1^7*T2^7 - 
      37523*T1^8*T2^7 + 8336*T1^9*T2^7 + 2872*T1^10*T2^7 - 2604*T1^11*T2^7 - 
      384*T1^12*T2^7 + 928*T1^2*T2^8 + 1416*T1^3*T2^8 - 6870*T1^4*T2^8 + 
      8336*T1^5*T2^8 + 18347*T1^6*T2^8 - 37523*T1^7*T2^8 + 18347*T1^8*T2^8 + 
      8336*T1^9*T2^8 - 6870*T1^10*T2^8 + 1416*T1^11*T2^8 + 928*T1^12*T2^8 - 
      1224*T1^3*T2^9 + 1416*T1^4*T2^9 + 2872*T1^5*T2^9 - 13006*T1^6*T2^9 + 
      8336*T1^7*T2^9 + 8336*T1^8*T2^9 - 13006*T1^9*T2^9 + 2872*T1^10*T2^9 + 
      1416*T1^11*T2^9 - 1224*T1^12*T2^9 + 928*T1^4*T2^10 - 2604*T1^5*T2^10 + 
      2770*T1^6*T2^10 + 2872*T1^7*T2^10 - 6870*T1^8*T2^10 + 2872*T1^9*T2^10 + 
      2770*T1^10*T2^10 - 2604*T1^11*T2^10 + 928*T1^12*T2^10 - 
      384*T1^5*T2^11 + 1460*T1^6*T2^11 - 2604*T1^7*T2^11 + 1416*T1^8*T2^11 + 
      1416*T1^9*T2^11 - 2604*T1^10*T2^11 + 1460*T1^11*T2^11 - 
      384*T1^12*T2^11 + 80*T1^6*T2^12 - 384*T1^7*T2^12 + 928*T1^8*T2^12 - 
      1224*T1^9*T2^12 + 928*T1^10*T2^12 - 384*T1^11*T2^12 + 80*T1^12*T2^12)/
     (T1^6*T2^6))}, 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), -((1 - 8*T1 + 29*T1^2 - 62*T1^3 + 79*T1^4 - 62*T1^5 + 29*T1^6 - 
      8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 168*T1^2*T2 + 264*T1^3*T2 - 
      136*T1^4*T2 - 136*T1^5*T2 + 264*T1^6*T2 - 168*T1^7*T2 + 56*T1^8*T2 - 
      8*T1^9*T2 + 29*T2^2 - 168*T1*T2^2 + 357*T1^2*T2^2 - 170*T1^3*T2^2 - 
      836*T1^4*T2^2 + 1459*T1^5*T2^2 - 836*T1^6*T2^2 - 170*T1^7*T2^2 + 
      357*T1^8*T2^2 - 168*T1^9*T2^2 + 29*T1^10*T2^2 - 62*T2^3 + 264*T1*T2^3 - 
      170*T1^2*T2^3 - 1098*T1^3*T2^3 + 3211*T1^4*T2^3 - 1882*T1^5*T2^3 - 
      1882*T1^6*T2^3 + 3211*T1^7*T2^3 - 1098*T1^8*T2^3 - 170*T1^9*T2^3 + 
      264*T1^10*T2^3 - 62*T1^11*T2^3 + 79*T2^4 - 136*T1*T2^4 - 
      836*T1^2*T2^4 + 3211*T1^3*T2^4 - 3798*T1^4*T2^4 - 3985*T1^5*T2^4 + 
      9294*T1^6*T2^4 - 3985*T1^7*T2^4 - 3798*T1^8*T2^4 + 3211*T1^9*T2^4 - 
      836*T1^10*T2^4 - 136*T1^11*T2^4 + 79*T1^12*T2^4 - 62*T2^5 - 
      136*T1*T2^5 + 1459*T1^2*T2^5 - 1882*T1^3*T2^5 - 3985*T1^4*T2^5 + 
      16792*T1^5*T2^5 - 10312*T1^6*T2^5 - 10312*T1^7*T2^5 + 16792*T1^8*T2^5 - 
      3985*T1^9*T2^5 - 1882*T1^10*T2^5 + 1459*T1^11*T2^5 - 136*T1^12*T2^5 - 
      62*T1^13*T2^5 + 29*T2^6 + 264*T1*T2^6 - 836*T1^2*T2^6 - 
      1882*T1^3*T2^6 + 9294*T1^4*T2^6 - 10312*T1^5*T2^6 - 20495*T1^6*T2^6 + 
      41295*T1^7*T2^6 - 20495*T1^8*T2^6 - 10312*T1^9*T2^6 + 9294*T1^10*T2^6 - 
      1882*T1^11*T2^6 - 836*T1^12*T2^6 + 264*T1^13*T2^6 + 29*T1^14*T2^6 - 
      8*T2^7 - 168*T1*T2^7 - 170*T1^2*T2^7 + 3211*T1^3*T2^7 - 
      3985*T1^4*T2^7 - 10312*T1^5*T2^7 + 41295*T1^6*T2^7 - 25312*T1^7*T2^7 - 
      25312*T1^8*T2^7 + 41295*T1^9*T2^7 - 10312*T1^10*T2^7 - 
      3985*T1^11*T2^7 + 3211*T1^12*T2^7 - 170*T1^13*T2^7 - 168*T1^14*T2^7 - 
      8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 357*T1^2*T2^8 - 1098*T1^3*T2^8 - 
      3798*T1^4*T2^8 + 16792*T1^5*T2^8 - 20495*T1^6*T2^8 - 25312*T1^7*T2^8 + 
      56880*T1^8*T2^8 - 25312*T1^9*T2^8 - 20495*T1^10*T2^8 + 
      16792*T1^11*T2^8 - 3798*T1^12*T2^8 - 1098*T1^13*T2^8 + 357*T1^14*T2^8 + 
      56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 168*T1^2*T2^9 - 
      170*T1^3*T2^9 + 3211*T1^4*T2^9 - 3985*T1^5*T2^9 - 10312*T1^6*T2^9 + 
      41295*T1^7*T2^9 - 25312*T1^8*T2^9 - 25312*T1^9*T2^9 + 
      41295*T1^10*T2^9 - 10312*T1^11*T2^9 - 3985*T1^12*T2^9 + 
      3211*T1^13*T2^9 - 170*T1^14*T2^9 - 168*T1^15*T2^9 - 8*T1^16*T2^9 + 
      29*T1^2*T2^10 + 264*T1^3*T2^10 - 836*T1^4*T2^10 - 1882*T1^5*T2^10 + 
      9294*T1^6*T2^10 - 10312*T1^7*T2^10 - 20495*T1^8*T2^10 + 
      41295*T1^9*T2^10 - 20495*T1^10*T2^10 - 10312*T1^11*T2^10 + 
      9294*T1^12*T2^10 - 1882*T1^13*T2^10 - 836*T1^14*T2^10 + 
      264*T1^15*T2^10 + 29*T1^16*T2^10 - 62*T1^3*T2^11 - 136*T1^4*T2^11 + 
      1459*T1^5*T2^11 - 1882*T1^6*T2^11 - 3985*T1^7*T2^11 + 
      16792*T1^8*T2^11 - 10312*T1^9*T2^11 - 10312*T1^10*T2^11 + 
      16792*T1^11*T2^11 - 3985*T1^12*T2^11 - 1882*T1^13*T2^11 + 
      1459*T1^14*T2^11 - 136*T1^15*T2^11 - 62*T1^16*T2^11 + 79*T1^4*T2^12 - 
      136*T1^5*T2^12 - 836*T1^6*T2^12 + 3211*T1^7*T2^12 - 3798*T1^8*T2^12 - 
      3985*T1^9*T2^12 + 9294*T1^10*T2^12 - 3985*T1^11*T2^12 - 
      3798*T1^12*T2^12 + 3211*T1^13*T2^12 - 836*T1^14*T2^12 - 
      136*T1^15*T2^12 + 79*T1^16*T2^12 - 62*T1^5*T2^13 + 264*T1^6*T2^13 - 
      170*T1^7*T2^13 - 1098*T1^8*T2^13 + 3211*T1^9*T2^13 - 1882*T1^10*T2^13 - 
      1882*T1^11*T2^13 + 3211*T1^12*T2^13 - 1098*T1^13*T2^13 - 
      170*T1^14*T2^13 + 264*T1^15*T2^13 - 62*T1^16*T2^13 + 29*T1^6*T2^14 - 
      168*T1^7*T2^14 + 357*T1^8*T2^14 - 170*T1^9*T2^14 - 836*T1^10*T2^14 + 
      1459*T1^11*T2^14 - 836*T1^12*T2^14 - 170*T1^13*T2^14 + 
      357*T1^14*T2^14 - 168*T1^15*T2^14 + 29*T1^16*T2^14 - 8*T1^7*T2^15 + 
      56*T1^8*T2^15 - 168*T1^9*T2^15 + 264*T1^10*T2^15 - 136*T1^11*T2^15 - 
      136*T1^12*T2^15 + 264*T1^13*T2^15 - 168*T1^14*T2^15 + 56*T1^15*T2^15 - 
      8*T1^16*T2^15 + T1^8*T2^16 - 8*T1^9*T2^16 + 29*T1^10*T2^16 - 
      62*T1^11*T2^16 + 79*T1^12*T2^16 - 62*T1^13*T2^16 + 29*T1^14*T2^16 - 
      8*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 414] -> {-((9 - 37*T + 55*T^2 - 37*T^3 + 9*T^4)/T^2), 
   -((999 - 4099*T1 + 6055*T1^2 - 4099*T1^3 + 999*T1^4 - 4099*T2 + 
      12754*T1*T2 - 8067*T1^2*T2 - 8067*T1^3*T2 + 12754*T1^4*T2 - 
      4099*T1^5*T2 + 6055*T2^2 - 8067*T1*T2^2 - 26380*T1^2*T2^2 + 
      52708*T1^3*T2^2 - 26380*T1^4*T2^2 - 8067*T1^5*T2^2 + 6055*T1^6*T2^2 - 
      4099*T2^3 - 8067*T1*T2^3 + 52708*T1^2*T2^3 - 36524*T1^3*T2^3 - 
      36524*T1^4*T2^3 + 52708*T1^5*T2^3 - 8067*T1^6*T2^3 - 4099*T1^7*T2^3 + 
      999*T2^4 + 12754*T1*T2^4 - 26380*T1^2*T2^4 - 36524*T1^3*T2^4 + 
      88320*T1^4*T2^4 - 36524*T1^5*T2^4 - 26380*T1^6*T2^4 + 12754*T1^7*T2^4 + 
      999*T1^8*T2^4 - 4099*T1*T2^5 - 8067*T1^2*T2^5 + 52708*T1^3*T2^5 - 
      36524*T1^4*T2^5 - 36524*T1^5*T2^5 + 52708*T1^6*T2^5 - 8067*T1^7*T2^5 - 
      4099*T1^8*T2^5 + 6055*T1^2*T2^6 - 8067*T1^3*T2^6 - 26380*T1^4*T2^6 + 
      52708*T1^5*T2^6 - 26380*T1^6*T2^6 - 8067*T1^7*T2^6 + 6055*T1^8*T2^6 - 
      4099*T1^3*T2^7 + 12754*T1^4*T2^7 - 8067*T1^5*T2^7 - 8067*T1^6*T2^7 + 
      12754*T1^7*T2^7 - 4099*T1^8*T2^7 + 999*T1^4*T2^8 - 4099*T1^5*T2^8 + 
      6055*T1^6*T2^8 - 4099*T1^7*T2^8 + 999*T1^8*T2^8)/(T1^4*T2^4))}, 
 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, 
   -((5 - 29*T1 + 77*T1^2 - 109*T1^3 + 77*T1^4 - 29*T1^5 + 5*T1^6 - 29*T2 + 
      142*T1*T2 - 284*T1^2*T2 + 185*T1^3*T2 + 185*T1^4*T2 - 284*T1^5*T2 + 
      142*T1^6*T2 - 29*T1^7*T2 + 77*T2^2 - 284*T1*T2^2 + 248*T1^2*T2^2 + 
      591*T1^3*T2^2 - 1374*T1^4*T2^2 + 591*T1^5*T2^2 + 248*T1^6*T2^2 - 
      284*T1^7*T2^2 + 77*T1^8*T2^2 - 109*T2^3 + 185*T1*T2^3 + 591*T1^2*T2^3 - 
      2116*T1^3*T2^3 + 1571*T1^4*T2^3 + 1571*T1^5*T2^3 - 2116*T1^6*T2^3 + 
      591*T1^7*T2^3 + 185*T1^8*T2^3 - 109*T1^9*T2^3 + 77*T2^4 + 185*T1*T2^4 - 
      1374*T1^2*T2^4 + 1571*T1^3*T2^4 + 2113*T1^4*T2^4 - 5499*T1^5*T2^4 + 
      2113*T1^6*T2^4 + 1571*T1^7*T2^4 - 1374*T1^8*T2^4 + 185*T1^9*T2^4 + 
      77*T1^10*T2^4 - 29*T2^5 - 284*T1*T2^5 + 591*T1^2*T2^5 + 
      1571*T1^3*T2^5 - 5499*T1^4*T2^5 + 3846*T1^5*T2^5 + 3846*T1^6*T2^5 - 
      5499*T1^7*T2^5 + 1571*T1^8*T2^5 + 591*T1^9*T2^5 - 284*T1^10*T2^5 - 
      29*T1^11*T2^5 + 5*T2^6 + 142*T1*T2^6 + 248*T1^2*T2^6 - 2116*T1^3*T2^6 + 
      2113*T1^4*T2^6 + 3846*T1^5*T2^6 - 8868*T1^6*T2^6 + 3846*T1^7*T2^6 + 
      2113*T1^8*T2^6 - 2116*T1^9*T2^6 + 248*T1^10*T2^6 + 142*T1^11*T2^6 + 
      5*T1^12*T2^6 - 29*T1*T2^7 - 284*T1^2*T2^7 + 591*T1^3*T2^7 + 
      1571*T1^4*T2^7 - 5499*T1^5*T2^7 + 3846*T1^6*T2^7 + 3846*T1^7*T2^7 - 
      5499*T1^8*T2^7 + 1571*T1^9*T2^7 + 591*T1^10*T2^7 - 284*T1^11*T2^7 - 
      29*T1^12*T2^7 + 77*T1^2*T2^8 + 185*T1^3*T2^8 - 1374*T1^4*T2^8 + 
      1571*T1^5*T2^8 + 2113*T1^6*T2^8 - 5499*T1^7*T2^8 + 2113*T1^8*T2^8 + 
      1571*T1^9*T2^8 - 1374*T1^10*T2^8 + 185*T1^11*T2^8 + 77*T1^12*T2^8 - 
      109*T1^3*T2^9 + 185*T1^4*T2^9 + 591*T1^5*T2^9 - 2116*T1^6*T2^9 + 
      1571*T1^7*T2^9 + 1571*T1^8*T2^9 - 2116*T1^9*T2^9 + 591*T1^10*T2^9 + 
      185*T1^11*T2^9 - 109*T1^12*T2^9 + 77*T1^4*T2^10 - 284*T1^5*T2^10 + 
      248*T1^6*T2^10 + 591*T1^7*T2^10 - 1374*T1^8*T2^10 + 591*T1^9*T2^10 + 
      248*T1^10*T2^10 - 284*T1^11*T2^10 + 77*T1^12*T2^10 - 29*T1^5*T2^11 + 
      142*T1^6*T2^11 - 284*T1^7*T2^11 + 185*T1^8*T2^11 + 185*T1^9*T2^11 - 
      284*T1^10*T2^11 + 142*T1^11*T2^11 - 29*T1^12*T2^11 + 5*T1^6*T2^12 - 
      29*T1^7*T2^12 + 77*T1^8*T2^12 - 109*T1^9*T2^12 + 77*T1^10*T2^12 - 
      29*T1^11*T2^12 + 5*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), -((1 - 8*T1 + 25*T1^2 - 44*T1^3 + 51*T1^4 - 44*T1^5 + 25*T1^6 - 
      8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 136*T1^2*T2 + 152*T1^3*T2 - 
      56*T1^4*T2 - 56*T1^5*T2 + 152*T1^6*T2 - 136*T1^7*T2 + 56*T1^8*T2 - 
      8*T1^9*T2 + 25*T2^2 - 136*T1*T2^2 + 131*T1^2*T2^2 + 333*T1^3*T2^2 - 
      986*T1^4*T2^2 + 1153*T1^5*T2^2 - 986*T1^6*T2^2 + 333*T1^7*T2^2 + 
      131*T1^8*T2^2 - 136*T1^9*T2^2 + 25*T1^10*T2^2 - 44*T2^3 + 152*T1*T2^3 + 
      333*T1^2*T2^3 - 1638*T1^3*T2^3 + 2101*T1^4*T2^3 - 672*T1^5*T2^3 - 
      672*T1^6*T2^3 + 2101*T1^7*T2^3 - 1638*T1^8*T2^3 + 333*T1^9*T2^3 + 
      152*T1^10*T2^3 - 44*T1^11*T2^3 + 51*T2^4 - 56*T1*T2^4 - 986*T1^2*T2^4 + 
      2101*T1^3*T2^4 - 18*T1^4*T2^4 - 4003*T1^5*T2^4 + 4568*T1^6*T2^4 - 
      4003*T1^7*T2^4 - 18*T1^8*T2^4 + 2101*T1^9*T2^4 - 986*T1^10*T2^4 - 
      56*T1^11*T2^4 + 51*T1^12*T2^4 - 44*T2^5 - 56*T1*T2^5 + 1153*T1^2*T2^5 - 
      672*T1^3*T2^5 - 4003*T1^4*T2^5 + 6734*T1^5*T2^5 - 1899*T1^6*T2^5 - 
      1899*T1^7*T2^5 + 6734*T1^8*T2^5 - 4003*T1^9*T2^5 - 672*T1^10*T2^5 + 
      1153*T1^11*T2^5 - 56*T1^12*T2^5 - 44*T1^13*T2^5 + 25*T2^6 + 
      152*T1*T2^6 - 986*T1^2*T2^6 - 672*T1^3*T2^6 + 4568*T1^4*T2^6 - 
      1899*T1^5*T2^6 - 7116*T1^6*T2^6 + 8248*T1^7*T2^6 - 7116*T1^8*T2^6 - 
      1899*T1^9*T2^6 + 4568*T1^10*T2^6 - 672*T1^11*T2^6 - 986*T1^12*T2^6 + 
      152*T1^13*T2^6 + 25*T1^14*T2^6 - 8*T2^7 - 136*T1*T2^7 + 333*T1^2*T2^7 + 
      2101*T1^3*T2^7 - 4003*T1^4*T2^7 - 1899*T1^5*T2^7 + 8248*T1^6*T2^7 - 
      2432*T1^7*T2^7 - 2432*T1^8*T2^7 + 8248*T1^9*T2^7 - 1899*T1^10*T2^7 - 
      4003*T1^11*T2^7 + 2101*T1^12*T2^7 + 333*T1^13*T2^7 - 136*T1^14*T2^7 - 
      8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 131*T1^2*T2^8 - 1638*T1^3*T2^8 - 
      18*T1^4*T2^8 + 6734*T1^5*T2^8 - 7116*T1^6*T2^8 - 2432*T1^7*T2^8 + 
      3888*T1^8*T2^8 - 2432*T1^9*T2^8 - 7116*T1^10*T2^8 + 6734*T1^11*T2^8 - 
      18*T1^12*T2^8 - 1638*T1^13*T2^8 + 131*T1^14*T2^8 + 56*T1^15*T2^8 + 
      T1^16*T2^8 - 8*T1*T2^9 - 136*T1^2*T2^9 + 333*T1^3*T2^9 + 
      2101*T1^4*T2^9 - 4003*T1^5*T2^9 - 1899*T1^6*T2^9 + 8248*T1^7*T2^9 - 
      2432*T1^8*T2^9 - 2432*T1^9*T2^9 + 8248*T1^10*T2^9 - 1899*T1^11*T2^9 - 
      4003*T1^12*T2^9 + 2101*T1^13*T2^9 + 333*T1^14*T2^9 - 136*T1^15*T2^9 - 
      8*T1^16*T2^9 + 25*T1^2*T2^10 + 152*T1^3*T2^10 - 986*T1^4*T2^10 - 
      672*T1^5*T2^10 + 4568*T1^6*T2^10 - 1899*T1^7*T2^10 - 7116*T1^8*T2^10 + 
      8248*T1^9*T2^10 - 7116*T1^10*T2^10 - 1899*T1^11*T2^10 + 
      4568*T1^12*T2^10 - 672*T1^13*T2^10 - 986*T1^14*T2^10 + 
      152*T1^15*T2^10 + 25*T1^16*T2^10 - 44*T1^3*T2^11 - 56*T1^4*T2^11 + 
      1153*T1^5*T2^11 - 672*T1^6*T2^11 - 4003*T1^7*T2^11 + 6734*T1^8*T2^11 - 
      1899*T1^9*T2^11 - 1899*T1^10*T2^11 + 6734*T1^11*T2^11 - 
      4003*T1^12*T2^11 - 672*T1^13*T2^11 + 1153*T1^14*T2^11 - 
      56*T1^15*T2^11 - 44*T1^16*T2^11 + 51*T1^4*T2^12 - 56*T1^5*T2^12 - 
      986*T1^6*T2^12 + 2101*T1^7*T2^12 - 18*T1^8*T2^12 - 4003*T1^9*T2^12 + 
      4568*T1^10*T2^12 - 4003*T1^11*T2^12 - 18*T1^12*T2^12 + 
      2101*T1^13*T2^12 - 986*T1^14*T2^12 - 56*T1^15*T2^12 + 51*T1^16*T2^12 - 
      44*T1^5*T2^13 + 152*T1^6*T2^13 + 333*T1^7*T2^13 - 1638*T1^8*T2^13 + 
      2101*T1^9*T2^13 - 672*T1^10*T2^13 - 672*T1^11*T2^13 + 
      2101*T1^12*T2^13 - 1638*T1^13*T2^13 + 333*T1^14*T2^13 + 
      152*T1^15*T2^13 - 44*T1^16*T2^13 + 25*T1^6*T2^14 - 136*T1^7*T2^14 + 
      131*T1^8*T2^14 + 333*T1^9*T2^14 - 986*T1^10*T2^14 + 1153*T1^11*T2^14 - 
      986*T1^12*T2^14 + 333*T1^13*T2^14 + 131*T1^14*T2^14 - 136*T1^15*T2^14 + 
      25*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 136*T1^9*T2^15 + 
      152*T1^10*T2^15 - 56*T1^11*T2^15 - 56*T1^12*T2^15 + 152*T1^13*T2^15 - 
      136*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
      8*T1^9*T2^16 + 25*T1^10*T2^16 - 44*T1^11*T2^16 + 51*T1^12*T2^16 - 
      44*T1^13*T2^16 + 25*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, 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), (1 - 8*T1 + 28*T1^2 - 55*T1^3 + 67*T1^4 - 55*T1^5 + 28*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 160*T1^2*T2 + 216*T1^3*T2 - 
     96*T1^4*T2 - 96*T1^5*T2 + 216*T1^6*T2 - 160*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 28*T2^2 - 160*T1*T2^2 + 300*T1^2*T2^2 + 32*T1^3*T2^2 - 
     881*T1^4*T2^2 + 1240*T1^5*T2^2 - 881*T1^6*T2^2 + 32*T1^7*T2^2 + 
     300*T1^8*T2^2 - 160*T1^9*T2^2 + 28*T1^10*T2^2 - 55*T2^3 + 216*T1*T2^3 + 
     32*T1^2*T2^3 - 1552*T1^3*T2^3 + 2931*T1^4*T2^3 - 1284*T1^5*T2^3 - 
     1284*T1^6*T2^3 + 2931*T1^7*T2^3 - 1552*T1^8*T2^3 + 32*T1^9*T2^3 + 
     216*T1^10*T2^3 - 55*T1^11*T2^3 + 67*T2^4 - 96*T1*T2^4 - 881*T1^2*T2^4 + 
     2931*T1^3*T2^4 - 1397*T1^4*T2^4 - 5892*T1^5*T2^4 + 8683*T1^6*T2^4 - 
     5892*T1^7*T2^4 - 1397*T1^8*T2^4 + 2931*T1^9*T2^4 - 881*T1^10*T2^4 - 
     96*T1^11*T2^4 + 67*T1^12*T2^4 - 55*T2^5 - 96*T1*T2^5 + 1240*T1^2*T2^5 - 
     1284*T1^3*T2^5 - 5892*T1^4*T2^5 + 14610*T1^5*T2^5 - 6379*T1^6*T2^5 - 
     6379*T1^7*T2^5 + 14610*T1^8*T2^5 - 5892*T1^9*T2^5 - 1284*T1^10*T2^5 + 
     1240*T1^11*T2^5 - 96*T1^12*T2^5 - 55*T1^13*T2^5 + 28*T2^6 + 
     216*T1*T2^6 - 881*T1^2*T2^6 - 1284*T1^3*T2^6 + 8683*T1^4*T2^6 - 
     6379*T1^5*T2^6 - 17684*T1^6*T2^6 + 27140*T1^7*T2^6 - 17684*T1^8*T2^6 - 
     6379*T1^9*T2^6 + 8683*T1^10*T2^6 - 1284*T1^11*T2^6 - 881*T1^12*T2^6 + 
     216*T1^13*T2^6 + 28*T1^14*T2^6 - 8*T2^7 - 160*T1*T2^7 + 32*T1^2*T2^7 + 
     2931*T1^3*T2^7 - 5892*T1^4*T2^7 - 6379*T1^5*T2^7 + 27140*T1^6*T2^7 - 
     12574*T1^7*T2^7 - 12574*T1^8*T2^7 + 27140*T1^9*T2^7 - 6379*T1^10*T2^7 - 
     5892*T1^11*T2^7 + 2931*T1^12*T2^7 + 32*T1^13*T2^7 - 160*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 300*T1^2*T2^8 - 1552*T1^3*T2^8 - 
     1397*T1^4*T2^8 + 14610*T1^5*T2^8 - 17684*T1^6*T2^8 - 12574*T1^7*T2^8 + 
     25236*T1^8*T2^8 - 12574*T1^9*T2^8 - 17684*T1^10*T2^8 + 
     14610*T1^11*T2^8 - 1397*T1^12*T2^8 - 1552*T1^13*T2^8 + 300*T1^14*T2^8 + 
     56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 160*T1^2*T2^9 + 32*T1^3*T2^9 + 
     2931*T1^4*T2^9 - 5892*T1^5*T2^9 - 6379*T1^6*T2^9 + 27140*T1^7*T2^9 - 
     12574*T1^8*T2^9 - 12574*T1^9*T2^9 + 27140*T1^10*T2^9 - 6379*T1^11*T2^9 - 
     5892*T1^12*T2^9 + 2931*T1^13*T2^9 + 32*T1^14*T2^9 - 160*T1^15*T2^9 - 
     8*T1^16*T2^9 + 28*T1^2*T2^10 + 216*T1^3*T2^10 - 881*T1^4*T2^10 - 
     1284*T1^5*T2^10 + 8683*T1^6*T2^10 - 6379*T1^7*T2^10 - 17684*T1^8*T2^10 + 
     27140*T1^9*T2^10 - 17684*T1^10*T2^10 - 6379*T1^11*T2^10 + 
     8683*T1^12*T2^10 - 1284*T1^13*T2^10 - 881*T1^14*T2^10 + 
     216*T1^15*T2^10 + 28*T1^16*T2^10 - 55*T1^3*T2^11 - 96*T1^4*T2^11 + 
     1240*T1^5*T2^11 - 1284*T1^6*T2^11 - 5892*T1^7*T2^11 + 14610*T1^8*T2^11 - 
     6379*T1^9*T2^11 - 6379*T1^10*T2^11 + 14610*T1^11*T2^11 - 
     5892*T1^12*T2^11 - 1284*T1^13*T2^11 + 1240*T1^14*T2^11 - 
     96*T1^15*T2^11 - 55*T1^16*T2^11 + 67*T1^4*T2^12 - 96*T1^5*T2^12 - 
     881*T1^6*T2^12 + 2931*T1^7*T2^12 - 1397*T1^8*T2^12 - 5892*T1^9*T2^12 + 
     8683*T1^10*T2^12 - 5892*T1^11*T2^12 - 1397*T1^12*T2^12 + 
     2931*T1^13*T2^12 - 881*T1^14*T2^12 - 96*T1^15*T2^12 + 67*T1^16*T2^12 - 
     55*T1^5*T2^13 + 216*T1^6*T2^13 + 32*T1^7*T2^13 - 1552*T1^8*T2^13 + 
     2931*T1^9*T2^13 - 1284*T1^10*T2^13 - 1284*T1^11*T2^13 + 
     2931*T1^12*T2^13 - 1552*T1^13*T2^13 + 32*T1^14*T2^13 + 216*T1^15*T2^13 - 
     55*T1^16*T2^13 + 28*T1^6*T2^14 - 160*T1^7*T2^14 + 300*T1^8*T2^14 + 
     32*T1^9*T2^14 - 881*T1^10*T2^14 + 1240*T1^11*T2^14 - 881*T1^12*T2^14 + 
     32*T1^13*T2^14 + 300*T1^14*T2^14 - 160*T1^15*T2^14 + 28*T1^16*T2^14 - 
     8*T1^7*T2^15 + 56*T1^8*T2^15 - 160*T1^9*T2^15 + 216*T1^10*T2^15 - 
     96*T1^11*T2^15 - 96*T1^12*T2^15 + 216*T1^13*T2^15 - 160*T1^14*T2^15 + 
     56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 8*T1^9*T2^16 + 
     28*T1^10*T2^16 - 55*T1^11*T2^16 + 67*T1^12*T2^16 - 55*T1^13*T2^16 + 
     28*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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), 
   (1 - 8*T1 + 27*T1^2 - 54*T1^3 + 67*T1^4 - 54*T1^5 + 27*T1^6 - 8*T1^7 + 
     T1^8 - 8*T2 + 56*T1*T2 - 152*T1^2*T2 + 216*T1^3*T2 - 104*T1^4*T2 - 
     104*T1^5*T2 + 216*T1^6*T2 - 152*T1^7*T2 + 56*T1^8*T2 - 8*T1^9*T2 + 
     27*T2^2 - 152*T1*T2^2 + 243*T1^2*T2^2 + 62*T1^3*T2^2 - 937*T1^4*T2^2 + 
     1399*T1^5*T2^2 - 937*T1^6*T2^2 + 62*T1^7*T2^2 + 243*T1^8*T2^2 - 
     152*T1^9*T2^2 + 27*T1^10*T2^2 - 54*T2^3 + 216*T1*T2^3 + 62*T1^2*T2^3 - 
     1298*T1^3*T2^3 + 2742*T1^4*T2^3 - 1420*T1^5*T2^3 - 1420*T1^6*T2^3 + 
     2742*T1^7*T2^3 - 1298*T1^8*T2^3 + 62*T1^9*T2^3 + 216*T1^10*T2^3 - 
     54*T1^11*T2^3 + 67*T2^4 - 104*T1*T2^4 - 937*T1^2*T2^4 + 2742*T1^3*T2^4 - 
     2499*T1^4*T2^4 - 3315*T1^5*T2^4 + 6647*T1^6*T2^4 - 3315*T1^7*T2^4 - 
     2499*T1^8*T2^4 + 2742*T1^9*T2^4 - 937*T1^10*T2^4 - 104*T1^11*T2^4 + 
     67*T1^12*T2^4 - 54*T2^5 - 104*T1*T2^5 + 1399*T1^2*T2^5 - 
     1420*T1^3*T2^5 - 3315*T1^4*T2^5 + 11386*T1^5*T2^5 - 6369*T1^6*T2^5 - 
     6369*T1^7*T2^5 + 11386*T1^8*T2^5 - 3315*T1^9*T2^5 - 1420*T1^10*T2^5 + 
     1399*T1^11*T2^5 - 104*T1^12*T2^5 - 54*T1^13*T2^5 + 27*T2^6 + 
     216*T1*T2^6 - 937*T1^2*T2^6 - 1420*T1^3*T2^6 + 6647*T1^4*T2^6 - 
     6369*T1^5*T2^6 - 12843*T1^6*T2^6 + 24457*T1^7*T2^6 - 12843*T1^8*T2^6 - 
     6369*T1^9*T2^6 + 6647*T1^10*T2^6 - 1420*T1^11*T2^6 - 937*T1^12*T2^6 + 
     216*T1^13*T2^6 + 27*T1^14*T2^6 - 8*T2^7 - 152*T1*T2^7 + 62*T1^2*T2^7 + 
     2742*T1^3*T2^7 - 3315*T1^4*T2^7 - 6369*T1^5*T2^7 + 24457*T1^6*T2^7 - 
     14256*T1^7*T2^7 - 14256*T1^8*T2^7 + 24457*T1^9*T2^7 - 6369*T1^10*T2^7 - 
     3315*T1^11*T2^7 + 2742*T1^12*T2^7 + 62*T1^13*T2^7 - 152*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 243*T1^2*T2^8 - 1298*T1^3*T2^8 - 
     2499*T1^4*T2^8 + 11386*T1^5*T2^8 - 12843*T1^6*T2^8 - 14256*T1^7*T2^8 + 
     31584*T1^8*T2^8 - 14256*T1^9*T2^8 - 12843*T1^10*T2^8 + 
     11386*T1^11*T2^8 - 2499*T1^12*T2^8 - 1298*T1^13*T2^8 + 243*T1^14*T2^8 + 
     56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 152*T1^2*T2^9 + 62*T1^3*T2^9 + 
     2742*T1^4*T2^9 - 3315*T1^5*T2^9 - 6369*T1^6*T2^9 + 24457*T1^7*T2^9 - 
     14256*T1^8*T2^9 - 14256*T1^9*T2^9 + 24457*T1^10*T2^9 - 6369*T1^11*T2^9 - 
     3315*T1^12*T2^9 + 2742*T1^13*T2^9 + 62*T1^14*T2^9 - 152*T1^15*T2^9 - 
     8*T1^16*T2^9 + 27*T1^2*T2^10 + 216*T1^3*T2^10 - 937*T1^4*T2^10 - 
     1420*T1^5*T2^10 + 6647*T1^6*T2^10 - 6369*T1^7*T2^10 - 12843*T1^8*T2^10 + 
     24457*T1^9*T2^10 - 12843*T1^10*T2^10 - 6369*T1^11*T2^10 + 
     6647*T1^12*T2^10 - 1420*T1^13*T2^10 - 937*T1^14*T2^10 + 
     216*T1^15*T2^10 + 27*T1^16*T2^10 - 54*T1^3*T2^11 - 104*T1^4*T2^11 + 
     1399*T1^5*T2^11 - 1420*T1^6*T2^11 - 3315*T1^7*T2^11 + 11386*T1^8*T2^11 - 
     6369*T1^9*T2^11 - 6369*T1^10*T2^11 + 11386*T1^11*T2^11 - 
     3315*T1^12*T2^11 - 1420*T1^13*T2^11 + 1399*T1^14*T2^11 - 
     104*T1^15*T2^11 - 54*T1^16*T2^11 + 67*T1^4*T2^12 - 104*T1^5*T2^12 - 
     937*T1^6*T2^12 + 2742*T1^7*T2^12 - 2499*T1^8*T2^12 - 3315*T1^9*T2^12 + 
     6647*T1^10*T2^12 - 3315*T1^11*T2^12 - 2499*T1^12*T2^12 + 
     2742*T1^13*T2^12 - 937*T1^14*T2^12 - 104*T1^15*T2^12 + 67*T1^16*T2^12 - 
     54*T1^5*T2^13 + 216*T1^6*T2^13 + 62*T1^7*T2^13 - 1298*T1^8*T2^13 + 
     2742*T1^9*T2^13 - 1420*T1^10*T2^13 - 1420*T1^11*T2^13 + 
     2742*T1^12*T2^13 - 1298*T1^13*T2^13 + 62*T1^14*T2^13 + 216*T1^15*T2^13 - 
     54*T1^16*T2^13 + 27*T1^6*T2^14 - 152*T1^7*T2^14 + 243*T1^8*T2^14 + 
     62*T1^9*T2^14 - 937*T1^10*T2^14 + 1399*T1^11*T2^14 - 937*T1^12*T2^14 + 
     62*T1^13*T2^14 + 243*T1^14*T2^14 - 152*T1^15*T2^14 + 27*T1^16*T2^14 - 
     8*T1^7*T2^15 + 56*T1^8*T2^15 - 152*T1^9*T2^15 + 216*T1^10*T2^15 - 
     104*T1^11*T2^15 - 104*T1^12*T2^15 + 216*T1^13*T2^15 - 152*T1^14*T2^15 + 
     56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 8*T1^9*T2^16 + 
     27*T1^10*T2^16 - 54*T1^11*T2^16 + 67*T1^12*T2^16 - 54*T1^13*T2^16 + 
     27*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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), -((1 - 9*T1 + 32*T1^2 - 61*T1^3 + 73*T1^4 - 61*T1^5 + 32*T1^6 - 
      9*T1^7 + T1^8 - 9*T2 + 72*T1*T2 - 207*T1^2*T2 + 261*T1^3*T2 - 
      108*T1^4*T2 - 108*T1^5*T2 + 261*T1^6*T2 - 207*T1^7*T2 + 72*T1^8*T2 - 
      9*T1^9*T2 + 32*T2^2 - 207*T1*T2^2 + 329*T1^2*T2^2 + 341*T1^3*T2^2 - 
      1558*T1^4*T2^2 + 1985*T1^5*T2^2 - 1558*T1^6*T2^2 + 341*T1^7*T2^2 + 
      329*T1^8*T2^2 - 207*T1^9*T2^2 + 32*T1^10*T2^2 - 61*T2^3 + 261*T1*T2^3 + 
      341*T1^2*T2^3 - 2920*T1^3*T2^3 + 4407*T1^4*T2^3 - 1707*T1^5*T2^3 - 
      1707*T1^6*T2^3 + 4407*T1^7*T2^3 - 2920*T1^8*T2^3 + 341*T1^9*T2^3 + 
      261*T1^10*T2^3 - 61*T1^11*T2^3 + 73*T2^4 - 108*T1*T2^4 - 
      1558*T1^2*T2^4 + 4407*T1^3*T2^4 - 362*T1^4*T2^4 - 9792*T1^5*T2^4 + 
      12758*T1^6*T2^4 - 9792*T1^7*T2^4 - 362*T1^8*T2^4 + 4407*T1^9*T2^4 - 
      1558*T1^10*T2^4 - 108*T1^11*T2^4 + 73*T1^12*T2^4 - 61*T2^5 - 
      108*T1*T2^5 + 1985*T1^2*T2^5 - 1707*T1^3*T2^5 - 9792*T1^4*T2^5 + 
      18760*T1^5*T2^5 - 7034*T1^6*T2^5 - 7034*T1^7*T2^5 + 18760*T1^8*T2^5 - 
      9792*T1^9*T2^5 - 1707*T1^10*T2^5 + 1985*T1^11*T2^5 - 108*T1^12*T2^5 - 
      61*T1^13*T2^5 + 32*T2^6 + 261*T1*T2^6 - 1558*T1^2*T2^6 - 
      1707*T1^3*T2^6 + 12758*T1^4*T2^6 - 7034*T1^5*T2^6 - 19662*T1^6*T2^6 + 
      27252*T1^7*T2^6 - 19662*T1^8*T2^6 - 7034*T1^9*T2^6 + 12758*T1^10*T2^6 - 
      1707*T1^11*T2^6 - 1558*T1^12*T2^6 + 261*T1^13*T2^6 + 32*T1^14*T2^6 - 
      9*T2^7 - 207*T1*T2^7 + 341*T1^2*T2^7 + 4407*T1^3*T2^7 - 
      9792*T1^4*T2^7 - 7034*T1^5*T2^7 + 27252*T1^6*T2^7 - 10728*T1^7*T2^7 - 
      10728*T1^8*T2^7 + 27252*T1^9*T2^7 - 7034*T1^10*T2^7 - 9792*T1^11*T2^7 + 
      4407*T1^12*T2^7 + 341*T1^13*T2^7 - 207*T1^14*T2^7 - 9*T1^15*T2^7 + 
      T2^8 + 72*T1*T2^8 + 329*T1^2*T2^8 - 2920*T1^3*T2^8 - 362*T1^4*T2^8 + 
      18760*T1^5*T2^8 - 19662*T1^6*T2^8 - 10728*T1^7*T2^8 + 19872*T1^8*T2^8 - 
      10728*T1^9*T2^8 - 19662*T1^10*T2^8 + 18760*T1^11*T2^8 - 
      362*T1^12*T2^8 - 2920*T1^13*T2^8 + 329*T1^14*T2^8 + 72*T1^15*T2^8 + 
      T1^16*T2^8 - 9*T1*T2^9 - 207*T1^2*T2^9 + 341*T1^3*T2^9 + 
      4407*T1^4*T2^9 - 9792*T1^5*T2^9 - 7034*T1^6*T2^9 + 27252*T1^7*T2^9 - 
      10728*T1^8*T2^9 - 10728*T1^9*T2^9 + 27252*T1^10*T2^9 - 
      7034*T1^11*T2^9 - 9792*T1^12*T2^9 + 4407*T1^13*T2^9 + 341*T1^14*T2^9 - 
      207*T1^15*T2^9 - 9*T1^16*T2^9 + 32*T1^2*T2^10 + 261*T1^3*T2^10 - 
      1558*T1^4*T2^10 - 1707*T1^5*T2^10 + 12758*T1^6*T2^10 - 
      7034*T1^7*T2^10 - 19662*T1^8*T2^10 + 27252*T1^9*T2^10 - 
      19662*T1^10*T2^10 - 7034*T1^11*T2^10 + 12758*T1^12*T2^10 - 
      1707*T1^13*T2^10 - 1558*T1^14*T2^10 + 261*T1^15*T2^10 + 
      32*T1^16*T2^10 - 61*T1^3*T2^11 - 108*T1^4*T2^11 + 1985*T1^5*T2^11 - 
      1707*T1^6*T2^11 - 9792*T1^7*T2^11 + 18760*T1^8*T2^11 - 
      7034*T1^9*T2^11 - 7034*T1^10*T2^11 + 18760*T1^11*T2^11 - 
      9792*T1^12*T2^11 - 1707*T1^13*T2^11 + 1985*T1^14*T2^11 - 
      108*T1^15*T2^11 - 61*T1^16*T2^11 + 73*T1^4*T2^12 - 108*T1^5*T2^12 - 
      1558*T1^6*T2^12 + 4407*T1^7*T2^12 - 362*T1^8*T2^12 - 9792*T1^9*T2^12 + 
      12758*T1^10*T2^12 - 9792*T1^11*T2^12 - 362*T1^12*T2^12 + 
      4407*T1^13*T2^12 - 1558*T1^14*T2^12 - 108*T1^15*T2^12 + 
      73*T1^16*T2^12 - 61*T1^5*T2^13 + 261*T1^6*T2^13 + 341*T1^7*T2^13 - 
      2920*T1^8*T2^13 + 4407*T1^9*T2^13 - 1707*T1^10*T2^13 - 
      1707*T1^11*T2^13 + 4407*T1^12*T2^13 - 2920*T1^13*T2^13 + 
      341*T1^14*T2^13 + 261*T1^15*T2^13 - 61*T1^16*T2^13 + 32*T1^6*T2^14 - 
      207*T1^7*T2^14 + 329*T1^8*T2^14 + 341*T1^9*T2^14 - 1558*T1^10*T2^14 + 
      1985*T1^11*T2^14 - 1558*T1^12*T2^14 + 341*T1^13*T2^14 + 
      329*T1^14*T2^14 - 207*T1^15*T2^14 + 32*T1^16*T2^14 - 9*T1^7*T2^15 + 
      72*T1^8*T2^15 - 207*T1^9*T2^15 + 261*T1^10*T2^15 - 108*T1^11*T2^15 - 
      108*T1^12*T2^15 + 261*T1^13*T2^15 - 207*T1^14*T2^15 + 72*T1^15*T2^15 - 
      9*T1^16*T2^15 + T1^8*T2^16 - 9*T1^9*T2^16 + 32*T1^10*T2^16 - 
      61*T1^11*T2^16 + 73*T1^12*T2^16 - 61*T1^13*T2^16 + 32*T1^14*T2^16 - 
      9*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 420] -> 
  {(5 - 15*T + 23*T^2 - 25*T^3 + 23*T^4 - 15*T^5 + 5*T^6)/T^3, 
   (415 - 1225*T1 + 1867*T1^2 - 2023*T1^3 + 1867*T1^4 - 1225*T1^5 + 
     415*T1^6 - 1225*T2 + 2404*T1*T2 - 1911*T1^2*T2 + 468*T1^3*T2 + 
     468*T1^4*T2 - 1911*T1^5*T2 + 2404*T1^6*T2 - 1225*T1^7*T2 + 1867*T2^2 - 
     1911*T1*T2^2 - 587*T1^2*T2^2 + 2145*T1^3*T2^2 - 1491*T1^4*T2^2 + 
     2145*T1^5*T2^2 - 587*T1^6*T2^2 - 1911*T1^7*T2^2 + 1867*T1^8*T2^2 - 
     2023*T2^3 + 468*T1*T2^3 + 2145*T1^2*T2^3 - 1532*T1^3*T2^3 - 
     574*T1^4*T2^3 - 574*T1^5*T2^3 - 1532*T1^6*T2^3 + 2145*T1^7*T2^3 + 
     468*T1^8*T2^3 - 2023*T1^9*T2^3 + 1867*T2^4 + 468*T1*T2^4 - 
     1491*T1^2*T2^4 - 574*T1^3*T2^4 + 1896*T1^4*T2^4 + 292*T1^5*T2^4 + 
     1896*T1^6*T2^4 - 574*T1^7*T2^4 - 1491*T1^8*T2^4 + 468*T1^9*T2^4 + 
     1867*T1^10*T2^4 - 1225*T2^5 - 1911*T1*T2^5 + 2145*T1^2*T2^5 - 
     574*T1^3*T2^5 + 292*T1^4*T2^5 - 1646*T1^5*T2^5 - 1646*T1^6*T2^5 + 
     292*T1^7*T2^5 - 574*T1^8*T2^5 + 2145*T1^9*T2^5 - 1911*T1^10*T2^5 - 
     1225*T1^11*T2^5 + 415*T2^6 + 2404*T1*T2^6 - 587*T1^2*T2^6 - 
     1532*T1^3*T2^6 + 1896*T1^4*T2^6 - 1646*T1^5*T2^6 + 4392*T1^6*T2^6 - 
     1646*T1^7*T2^6 + 1896*T1^8*T2^6 - 1532*T1^9*T2^6 - 587*T1^10*T2^6 + 
     2404*T1^11*T2^6 + 415*T1^12*T2^6 - 1225*T1*T2^7 - 1911*T1^2*T2^7 + 
     2145*T1^3*T2^7 - 574*T1^4*T2^7 + 292*T1^5*T2^7 - 1646*T1^6*T2^7 - 
     1646*T1^7*T2^7 + 292*T1^8*T2^7 - 574*T1^9*T2^7 + 2145*T1^10*T2^7 - 
     1911*T1^11*T2^7 - 1225*T1^12*T2^7 + 1867*T1^2*T2^8 + 468*T1^3*T2^8 - 
     1491*T1^4*T2^8 - 574*T1^5*T2^8 + 1896*T1^6*T2^8 + 292*T1^7*T2^8 + 
     1896*T1^8*T2^8 - 574*T1^9*T2^8 - 1491*T1^10*T2^8 + 468*T1^11*T2^8 + 
     1867*T1^12*T2^8 - 2023*T1^3*T2^9 + 468*T1^4*T2^9 + 2145*T1^5*T2^9 - 
     1532*T1^6*T2^9 - 574*T1^7*T2^9 - 574*T1^8*T2^9 - 1532*T1^9*T2^9 + 
     2145*T1^10*T2^9 + 468*T1^11*T2^9 - 2023*T1^12*T2^9 + 1867*T1^4*T2^10 - 
     1911*T1^5*T2^10 - 587*T1^6*T2^10 + 2145*T1^7*T2^10 - 1491*T1^8*T2^10 + 
     2145*T1^9*T2^10 - 587*T1^10*T2^10 - 1911*T1^11*T2^10 + 
     1867*T1^12*T2^10 - 1225*T1^5*T2^11 + 2404*T1^6*T2^11 - 1911*T1^7*T2^11 + 
     468*T1^8*T2^11 + 468*T1^9*T2^11 - 1911*T1^10*T2^11 + 2404*T1^11*T2^11 - 
     1225*T1^12*T2^11 + 415*T1^6*T2^12 - 1225*T1^7*T2^12 + 1867*T1^8*T2^12 - 
     2023*T1^9*T2^12 + 1867*T1^10*T2^12 - 1225*T1^11*T2^12 + 415*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 421] -> 
  {((2 - 3*T + 2*T^2)*(5 - 9*T + 5*T^2))/T^2, 
   (2445 - 7911*T1 + 11221*T1^2 - 7911*T1^3 + 2445*T1^4 - 7911*T2 + 
     17756*T1*T2 - 10762*T1^2*T2 - 10762*T1^3*T2 + 17756*T1^4*T2 - 
     7911*T1^5*T2 + 11221*T2^2 - 10762*T1*T2^2 - 20778*T1^2*T2^2 + 
     46084*T1^3*T2^2 - 20778*T1^4*T2^2 - 10762*T1^5*T2^2 + 11221*T1^6*T2^2 - 
     7911*T2^3 - 10762*T1*T2^3 + 46084*T1^2*T2^3 - 32346*T1^3*T2^3 - 
     32346*T1^4*T2^3 + 46084*T1^5*T2^3 - 10762*T1^6*T2^3 - 7911*T1^7*T2^3 + 
     2445*T2^4 + 17756*T1*T2^4 - 20778*T1^2*T2^4 - 32346*T1^3*T2^4 + 
     77784*T1^4*T2^4 - 32346*T1^5*T2^4 - 20778*T1^6*T2^4 + 17756*T1^7*T2^4 + 
     2445*T1^8*T2^4 - 7911*T1*T2^5 - 10762*T1^2*T2^5 + 46084*T1^3*T2^5 - 
     32346*T1^4*T2^5 - 32346*T1^5*T2^5 + 46084*T1^6*T2^5 - 10762*T1^7*T2^5 - 
     7911*T1^8*T2^5 + 11221*T1^2*T2^6 - 10762*T1^3*T2^6 - 20778*T1^4*T2^6 + 
     46084*T1^5*T2^6 - 20778*T1^6*T2^6 - 10762*T1^7*T2^6 + 11221*T1^8*T2^6 - 
     7911*T1^3*T2^7 + 17756*T1^4*T2^7 - 10762*T1^5*T2^7 - 10762*T1^6*T2^7 + 
     17756*T1^7*T2^7 - 7911*T1^8*T2^7 + 2445*T1^4*T2^8 - 7911*T1^5*T2^8 + 
     11221*T1^6*T2^8 - 7911*T1^7*T2^8 + 2445*T1^8*T2^8)/(T1^4*T2^4)}, 
 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, 
   -((15 - 45*T1 + 74*T1^2 - 81*T1^3 + 81*T1^4 - 81*T1^5 + 74*T1^6 - 
      45*T1^7 + 15*T1^8 - 45*T2 + 90*T1*T2 - 87*T1^2*T2 + 21*T1^3*T2 + 
      21*T1^6*T2 - 87*T1^7*T2 + 90*T1^8*T2 - 45*T1^9*T2 + 74*T2^2 - 
      87*T1*T2^2 + 23*T1^2*T2^2 + 77*T1^3*T2^2 - 16*T1^4*T2^2 - 
      15*T1^5*T2^2 - 16*T1^6*T2^2 + 77*T1^7*T2^2 + 23*T1^8*T2^2 - 
      87*T1^9*T2^2 + 74*T1^10*T2^2 - 81*T2^3 + 21*T1*T2^3 + 77*T1^2*T2^3 - 
      132*T1^3*T2^3 - 37*T1^4*T2^3 + 27*T1^5*T2^3 + 27*T1^6*T2^3 - 
      37*T1^7*T2^3 - 132*T1^8*T2^3 + 77*T1^9*T2^3 + 21*T1^10*T2^3 - 
      81*T1^11*T2^3 + 81*T2^4 - 16*T1^2*T2^4 - 37*T1^3*T2^4 + 243*T1^4*T2^4 - 
      132*T1^5*T2^4 + 91*T1^6*T2^4 - 132*T1^7*T2^4 + 243*T1^8*T2^4 - 
      37*T1^9*T2^4 - 16*T1^10*T2^4 + 81*T1^12*T2^4 - 81*T2^5 - 15*T1^2*T2^5 + 
      27*T1^3*T2^5 - 132*T1^4*T2^5 - 52*T1^5*T2^5 + 30*T1^6*T2^5 + 
      30*T1^7*T2^5 - 52*T1^8*T2^5 - 132*T1^9*T2^5 + 27*T1^10*T2^5 - 
      15*T1^11*T2^5 - 81*T1^13*T2^5 + 74*T2^6 + 21*T1*T2^6 - 16*T1^2*T2^6 + 
      27*T1^3*T2^6 + 91*T1^4*T2^6 + 30*T1^5*T2^6 + 49*T1^6*T2^6 - 
      83*T1^7*T2^6 + 49*T1^8*T2^6 + 30*T1^9*T2^6 + 91*T1^10*T2^6 + 
      27*T1^11*T2^6 - 16*T1^12*T2^6 + 21*T1^13*T2^6 + 74*T1^14*T2^6 - 
      45*T2^7 - 87*T1*T2^7 + 77*T1^2*T2^7 - 37*T1^3*T2^7 - 132*T1^4*T2^7 + 
      30*T1^5*T2^7 - 83*T1^6*T2^7 + 48*T1^7*T2^7 + 48*T1^8*T2^7 - 
      83*T1^9*T2^7 + 30*T1^10*T2^7 - 132*T1^11*T2^7 - 37*T1^12*T2^7 + 
      77*T1^13*T2^7 - 87*T1^14*T2^7 - 45*T1^15*T2^7 + 15*T2^8 + 90*T1*T2^8 + 
      23*T1^2*T2^8 - 132*T1^3*T2^8 + 243*T1^4*T2^8 - 52*T1^5*T2^8 + 
      49*T1^6*T2^8 + 48*T1^7*T2^8 - 120*T1^8*T2^8 + 48*T1^9*T2^8 + 
      49*T1^10*T2^8 - 52*T1^11*T2^8 + 243*T1^12*T2^8 - 132*T1^13*T2^8 + 
      23*T1^14*T2^8 + 90*T1^15*T2^8 + 15*T1^16*T2^8 - 45*T1*T2^9 - 
      87*T1^2*T2^9 + 77*T1^3*T2^9 - 37*T1^4*T2^9 - 132*T1^5*T2^9 + 
      30*T1^6*T2^9 - 83*T1^7*T2^9 + 48*T1^8*T2^9 + 48*T1^9*T2^9 - 
      83*T1^10*T2^9 + 30*T1^11*T2^9 - 132*T1^12*T2^9 - 37*T1^13*T2^9 + 
      77*T1^14*T2^9 - 87*T1^15*T2^9 - 45*T1^16*T2^9 + 74*T1^2*T2^10 + 
      21*T1^3*T2^10 - 16*T1^4*T2^10 + 27*T1^5*T2^10 + 91*T1^6*T2^10 + 
      30*T1^7*T2^10 + 49*T1^8*T2^10 - 83*T1^9*T2^10 + 49*T1^10*T2^10 + 
      30*T1^11*T2^10 + 91*T1^12*T2^10 + 27*T1^13*T2^10 - 16*T1^14*T2^10 + 
      21*T1^15*T2^10 + 74*T1^16*T2^10 - 81*T1^3*T2^11 - 15*T1^5*T2^11 + 
      27*T1^6*T2^11 - 132*T1^7*T2^11 - 52*T1^8*T2^11 + 30*T1^9*T2^11 + 
      30*T1^10*T2^11 - 52*T1^11*T2^11 - 132*T1^12*T2^11 + 27*T1^13*T2^11 - 
      15*T1^14*T2^11 - 81*T1^16*T2^11 + 81*T1^4*T2^12 - 16*T1^6*T2^12 - 
      37*T1^7*T2^12 + 243*T1^8*T2^12 - 132*T1^9*T2^12 + 91*T1^10*T2^12 - 
      132*T1^11*T2^12 + 243*T1^12*T2^12 - 37*T1^13*T2^12 - 16*T1^14*T2^12 + 
      81*T1^16*T2^12 - 81*T1^5*T2^13 + 21*T1^6*T2^13 + 77*T1^7*T2^13 - 
      132*T1^8*T2^13 - 37*T1^9*T2^13 + 27*T1^10*T2^13 + 27*T1^11*T2^13 - 
      37*T1^12*T2^13 - 132*T1^13*T2^13 + 77*T1^14*T2^13 + 21*T1^15*T2^13 - 
      81*T1^16*T2^13 + 74*T1^6*T2^14 - 87*T1^7*T2^14 + 23*T1^8*T2^14 + 
      77*T1^9*T2^14 - 16*T1^10*T2^14 - 15*T1^11*T2^14 - 16*T1^12*T2^14 + 
      77*T1^13*T2^14 + 23*T1^14*T2^14 - 87*T1^15*T2^14 + 74*T1^16*T2^14 - 
      45*T1^7*T2^15 + 90*T1^8*T2^15 - 87*T1^9*T2^15 + 21*T1^10*T2^15 + 
      21*T1^13*T2^15 - 87*T1^14*T2^15 + 90*T1^15*T2^15 - 45*T1^16*T2^15 + 
      15*T1^8*T2^16 - 45*T1^9*T2^16 + 74*T1^10*T2^16 - 81*T1^11*T2^16 + 
      81*T1^12*T2^16 - 81*T1^13*T2^16 + 74*T1^14*T2^16 - 45*T1^15*T2^16 + 
      15*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 423] -> 
  {((2 - 3*T + 2*T^2)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^3, 
   -((64 - 220*T1 + 396*T1^2 - 464*T1^3 + 396*T1^4 - 220*T1^5 + 64*T1^6 - 
      220*T2 + 538*T1*T2 - 608*T1^2*T2 + 236*T1^3*T2 + 236*T1^4*T2 - 
      608*T1^5*T2 + 538*T1^6*T2 - 220*T1^7*T2 + 396*T2^2 - 608*T1*T2^2 + 
      153*T1^2*T2^2 + 757*T1^3*T2^2 - 1041*T1^4*T2^2 + 757*T1^5*T2^2 + 
      153*T1^6*T2^2 - 608*T1^7*T2^2 + 396*T1^8*T2^2 - 464*T2^3 + 
      236*T1*T2^3 + 757*T1^2*T2^3 - 1504*T1^3*T2^3 + 608*T1^4*T2^3 + 
      608*T1^5*T2^3 - 1504*T1^6*T2^3 + 757*T1^7*T2^3 + 236*T1^8*T2^3 - 
      464*T1^9*T2^3 + 396*T2^4 + 236*T1*T2^4 - 1041*T1^2*T2^4 + 
      608*T1^3*T2^4 + 1475*T1^4*T2^4 - 2257*T1^5*T2^4 + 1475*T1^6*T2^4 + 
      608*T1^7*T2^4 - 1041*T1^8*T2^4 + 236*T1^9*T2^4 + 396*T1^10*T2^4 - 
      220*T2^5 - 608*T1*T2^5 + 757*T1^2*T2^5 + 608*T1^3*T2^5 - 
      2257*T1^4*T2^5 + 1070*T1^5*T2^5 + 1070*T1^6*T2^5 - 2257*T1^7*T2^5 + 
      608*T1^8*T2^5 + 757*T1^9*T2^5 - 608*T1^10*T2^5 - 220*T1^11*T2^5 + 
      64*T2^6 + 538*T1*T2^6 + 153*T1^2*T2^6 - 1504*T1^3*T2^6 + 
      1475*T1^4*T2^6 + 1070*T1^5*T2^6 - 2232*T1^6*T2^6 + 1070*T1^7*T2^6 + 
      1475*T1^8*T2^6 - 1504*T1^9*T2^6 + 153*T1^10*T2^6 + 538*T1^11*T2^6 + 
      64*T1^12*T2^6 - 220*T1*T2^7 - 608*T1^2*T2^7 + 757*T1^3*T2^7 + 
      608*T1^4*T2^7 - 2257*T1^5*T2^7 + 1070*T1^6*T2^7 + 1070*T1^7*T2^7 - 
      2257*T1^8*T2^7 + 608*T1^9*T2^7 + 757*T1^10*T2^7 - 608*T1^11*T2^7 - 
      220*T1^12*T2^7 + 396*T1^2*T2^8 + 236*T1^3*T2^8 - 1041*T1^4*T2^8 + 
      608*T1^5*T2^8 + 1475*T1^6*T2^8 - 2257*T1^7*T2^8 + 1475*T1^8*T2^8 + 
      608*T1^9*T2^8 - 1041*T1^10*T2^8 + 236*T1^11*T2^8 + 396*T1^12*T2^8 - 
      464*T1^3*T2^9 + 236*T1^4*T2^9 + 757*T1^5*T2^9 - 1504*T1^6*T2^9 + 
      608*T1^7*T2^9 + 608*T1^8*T2^9 - 1504*T1^9*T2^9 + 757*T1^10*T2^9 + 
      236*T1^11*T2^9 - 464*T1^12*T2^9 + 396*T1^4*T2^10 - 608*T1^5*T2^10 + 
      153*T1^6*T2^10 + 757*T1^7*T2^10 - 1041*T1^8*T2^10 + 757*T1^9*T2^10 + 
      153*T1^10*T2^10 - 608*T1^11*T2^10 + 396*T1^12*T2^10 - 220*T1^5*T2^11 + 
      538*T1^6*T2^11 - 608*T1^7*T2^11 + 236*T1^8*T2^11 + 236*T1^9*T2^11 - 
      608*T1^10*T2^11 + 538*T1^11*T2^11 - 220*T1^12*T2^11 + 64*T1^6*T2^12 - 
      220*T1^7*T2^12 + 396*T1^8*T2^12 - 464*T1^9*T2^12 + 396*T1^10*T2^12 - 
      220*T1^11*T2^12 + 64*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 424] -> 
  {(4 - 15*T + 29*T^2 - 35*T^3 + 29*T^4 - 15*T^5 + 4*T^6)/T^3, 
   -((64 - 236*T1 + 448*T1^2 - 536*T1^3 + 448*T1^4 - 236*T1^5 + 64*T1^6 - 
      236*T2 + 638*T1*T2 - 790*T1^2*T2 + 330*T1^3*T2 + 330*T1^4*T2 - 
      790*T1^5*T2 + 638*T1^6*T2 - 236*T1^7*T2 + 448*T2^2 - 790*T1*T2^2 + 
      312*T1^2*T2^2 + 936*T1^3*T2^2 - 1398*T1^4*T2^2 + 936*T1^5*T2^2 + 
      312*T1^6*T2^2 - 790*T1^7*T2^2 + 448*T1^8*T2^2 - 536*T2^3 + 
      330*T1*T2^3 + 936*T1^2*T2^3 - 2094*T1^3*T2^3 + 889*T1^4*T2^3 + 
      889*T1^5*T2^3 - 2094*T1^6*T2^3 + 936*T1^7*T2^3 + 330*T1^8*T2^3 - 
      536*T1^9*T2^3 + 448*T2^4 + 330*T1*T2^4 - 1398*T1^2*T2^4 + 
      889*T1^3*T2^4 + 2210*T1^4*T2^4 - 3374*T1^5*T2^4 + 2210*T1^6*T2^4 + 
      889*T1^7*T2^4 - 1398*T1^8*T2^4 + 330*T1^9*T2^4 + 448*T1^10*T2^4 - 
      236*T2^5 - 790*T1*T2^5 + 936*T1^2*T2^5 + 889*T1^3*T2^5 - 
      3374*T1^4*T2^5 + 1536*T1^5*T2^5 + 1536*T1^6*T2^5 - 3374*T1^7*T2^5 + 
      889*T1^8*T2^5 + 936*T1^9*T2^5 - 790*T1^10*T2^5 - 236*T1^11*T2^5 + 
      64*T2^6 + 638*T1*T2^6 + 312*T1^2*T2^6 - 2094*T1^3*T2^6 + 
      2210*T1^4*T2^6 + 1536*T1^5*T2^6 - 3072*T1^6*T2^6 + 1536*T1^7*T2^6 + 
      2210*T1^8*T2^6 - 2094*T1^9*T2^6 + 312*T1^10*T2^6 + 638*T1^11*T2^6 + 
      64*T1^12*T2^6 - 236*T1*T2^7 - 790*T1^2*T2^7 + 936*T1^3*T2^7 + 
      889*T1^4*T2^7 - 3374*T1^5*T2^7 + 1536*T1^6*T2^7 + 1536*T1^7*T2^7 - 
      3374*T1^8*T2^7 + 889*T1^9*T2^7 + 936*T1^10*T2^7 - 790*T1^11*T2^7 - 
      236*T1^12*T2^7 + 448*T1^2*T2^8 + 330*T1^3*T2^8 - 1398*T1^4*T2^8 + 
      889*T1^5*T2^8 + 2210*T1^6*T2^8 - 3374*T1^7*T2^8 + 2210*T1^8*T2^8 + 
      889*T1^9*T2^8 - 1398*T1^10*T2^8 + 330*T1^11*T2^8 + 448*T1^12*T2^8 - 
      536*T1^3*T2^9 + 330*T1^4*T2^9 + 936*T1^5*T2^9 - 2094*T1^6*T2^9 + 
      889*T1^7*T2^9 + 889*T1^8*T2^9 - 2094*T1^9*T2^9 + 936*T1^10*T2^9 + 
      330*T1^11*T2^9 - 536*T1^12*T2^9 + 448*T1^4*T2^10 - 790*T1^5*T2^10 + 
      312*T1^6*T2^10 + 936*T1^7*T2^10 - 1398*T1^8*T2^10 + 936*T1^9*T2^10 + 
      312*T1^10*T2^10 - 790*T1^11*T2^10 + 448*T1^12*T2^10 - 236*T1^5*T2^11 + 
      638*T1^6*T2^11 - 790*T1^7*T2^11 + 330*T1^8*T2^11 + 330*T1^9*T2^11 - 
      790*T1^10*T2^11 + 638*T1^11*T2^11 - 236*T1^12*T2^11 + 64*T1^6*T2^12 - 
      236*T1^7*T2^12 + 448*T1^8*T2^12 - 536*T1^9*T2^12 + 448*T1^10*T2^12 - 
      236*T1^11*T2^12 + 64*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 425] -> {((3 - 4*T + 2*T^2)*(2 - 4*T + 3*T^2))/T^2, 
   -((45 - 151*T1 + 223*T1^2 - 151*T1^3 + 45*T1^4 - 151*T2 + 354*T1*T2 - 
      240*T1^2*T2 - 240*T1^3*T2 + 354*T1^4*T2 - 151*T1^5*T2 + 223*T2^2 - 
      240*T1*T2^2 - 332*T1^2*T2^2 + 938*T1^3*T2^2 - 332*T1^4*T2^2 - 
      240*T1^5*T2^2 + 223*T1^6*T2^2 - 151*T2^3 - 240*T1*T2^3 + 
      938*T1^2*T2^3 - 780*T1^3*T2^3 - 780*T1^4*T2^3 + 938*T1^5*T2^3 - 
      240*T1^6*T2^3 - 151*T1^7*T2^3 + 45*T2^4 + 354*T1*T2^4 - 332*T1^2*T2^4 - 
      780*T1^3*T2^4 + 2004*T1^4*T2^4 - 780*T1^5*T2^4 - 332*T1^6*T2^4 + 
      354*T1^7*T2^4 + 45*T1^8*T2^4 - 151*T1*T2^5 - 240*T1^2*T2^5 + 
      938*T1^3*T2^5 - 780*T1^4*T2^5 - 780*T1^5*T2^5 + 938*T1^6*T2^5 - 
      240*T1^7*T2^5 - 151*T1^8*T2^5 + 223*T1^2*T2^6 - 240*T1^3*T2^6 - 
      332*T1^4*T2^6 + 938*T1^5*T2^6 - 332*T1^6*T2^6 - 240*T1^7*T2^6 + 
      223*T1^8*T2^6 - 151*T1^3*T2^7 + 354*T1^4*T2^7 - 240*T1^5*T2^7 - 
      240*T1^6*T2^7 + 354*T1^7*T2^7 - 151*T1^8*T2^7 + 45*T1^4*T2^8 - 
      151*T1^5*T2^8 + 223*T1^6*T2^8 - 151*T1^7*T2^8 + 45*T1^8*T2^8)/
     (T1^4*T2^4))}, 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, 
   -((T1 - 3*T1^2 + 2*T1^3 + 2*T1^4 - 3*T1^5 + T1^6 + T2 - 7*T1*T2 + 
      3*T1^2*T2 + 39*T1^3*T2 - 75*T1^4*T2 + 39*T1^5*T2 + 3*T1^6*T2 - 
      7*T1^7*T2 + T1^8*T2 - 3*T2^2 + 3*T1*T2^2 + 72*T1^2*T2^2 - 
      226*T1^3*T2^2 + 167*T1^4*T2^2 + 167*T1^5*T2^2 - 226*T1^6*T2^2 + 
      72*T1^7*T2^2 + 3*T1^8*T2^2 - 3*T1^9*T2^2 + 2*T2^3 + 39*T1*T2^3 - 
      226*T1^2*T2^3 + 293*T1^3*T2^3 + 388*T1^4*T2^3 - 1105*T1^5*T2^3 + 
      388*T1^6*T2^3 + 293*T1^7*T2^3 - 226*T1^8*T2^3 + 39*T1^9*T2^3 + 
      2*T1^10*T2^3 + 2*T2^4 - 75*T1*T2^4 + 167*T1^2*T2^4 + 388*T1^3*T2^4 - 
      1776*T1^4*T2^4 + 1452*T1^5*T2^4 + 1452*T1^6*T2^4 - 1776*T1^7*T2^4 + 
      388*T1^8*T2^4 + 167*T1^9*T2^4 - 75*T1^10*T2^4 + 2*T1^11*T2^4 - 3*T2^5 + 
      39*T1*T2^5 + 167*T1^2*T2^5 - 1105*T1^3*T2^5 + 1452*T1^4*T2^5 + 
      1928*T1^5*T2^5 - 5584*T1^6*T2^5 + 1928*T1^7*T2^5 + 1452*T1^8*T2^5 - 
      1105*T1^9*T2^5 + 167*T1^10*T2^5 + 39*T1^11*T2^5 - 3*T1^12*T2^5 + T2^6 + 
      3*T1*T2^6 - 226*T1^2*T2^6 + 388*T1^3*T2^6 + 1452*T1^4*T2^6 - 
      5584*T1^5*T2^6 + 4432*T1^6*T2^6 + 4432*T1^7*T2^6 - 5584*T1^8*T2^6 + 
      1452*T1^9*T2^6 + 388*T1^10*T2^6 - 226*T1^11*T2^6 + 3*T1^12*T2^6 + 
      T1^13*T2^6 - 7*T1*T2^7 + 72*T1^2*T2^7 + 293*T1^3*T2^7 - 
      1776*T1^4*T2^7 + 1928*T1^5*T2^7 + 4432*T1^6*T2^7 - 10944*T1^7*T2^7 + 
      4432*T1^8*T2^7 + 1928*T1^9*T2^7 - 1776*T1^10*T2^7 + 293*T1^11*T2^7 + 
      72*T1^12*T2^7 - 7*T1^13*T2^7 + T1*T2^8 + 3*T1^2*T2^8 - 226*T1^3*T2^8 + 
      388*T1^4*T2^8 + 1452*T1^5*T2^8 - 5584*T1^6*T2^8 + 4432*T1^7*T2^8 + 
      4432*T1^8*T2^8 - 5584*T1^9*T2^8 + 1452*T1^10*T2^8 + 388*T1^11*T2^8 - 
      226*T1^12*T2^8 + 3*T1^13*T2^8 + T1^14*T2^8 - 3*T1^2*T2^9 + 
      39*T1^3*T2^9 + 167*T1^4*T2^9 - 1105*T1^5*T2^9 + 1452*T1^6*T2^9 + 
      1928*T1^7*T2^9 - 5584*T1^8*T2^9 + 1928*T1^9*T2^9 + 1452*T1^10*T2^9 - 
      1105*T1^11*T2^9 + 167*T1^12*T2^9 + 39*T1^13*T2^9 - 3*T1^14*T2^9 + 
      2*T1^3*T2^10 - 75*T1^4*T2^10 + 167*T1^5*T2^10 + 388*T1^6*T2^10 - 
      1776*T1^7*T2^10 + 1452*T1^8*T2^10 + 1452*T1^9*T2^10 - 
      1776*T1^10*T2^10 + 388*T1^11*T2^10 + 167*T1^12*T2^10 - 75*T1^13*T2^10 + 
      2*T1^14*T2^10 + 2*T1^4*T2^11 + 39*T1^5*T2^11 - 226*T1^6*T2^11 + 
      293*T1^7*T2^11 + 388*T1^8*T2^11 - 1105*T1^9*T2^11 + 388*T1^10*T2^11 + 
      293*T1^11*T2^11 - 226*T1^12*T2^11 + 39*T1^13*T2^11 + 2*T1^14*T2^11 - 
      3*T1^5*T2^12 + 3*T1^6*T2^12 + 72*T1^7*T2^12 - 226*T1^8*T2^12 + 
      167*T1^9*T2^12 + 167*T1^10*T2^12 - 226*T1^11*T2^12 + 72*T1^12*T2^12 + 
      3*T1^13*T2^12 - 3*T1^14*T2^12 + T1^6*T2^13 - 7*T1^7*T2^13 + 
      3*T1^8*T2^13 + 39*T1^9*T2^13 - 75*T1^10*T2^13 + 39*T1^11*T2^13 + 
      3*T1^12*T2^13 - 7*T1^13*T2^13 + T1^14*T2^13 + T1^8*T2^14 - 
      3*T1^9*T2^14 + 2*T1^10*T2^14 + 2*T1^11*T2^14 - 3*T1^12*T2^14 + 
      T1^13*T2^14)/(T1^7*T2^7))}, Knot[12, Alternating, 427] -> 
  {((1 - 3*T + T^2)^2*(1 - T + T^2)^2)/T^4, 0}, 
 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, 
   (1 - 4*T1 + 9*T1^2 - 14*T1^3 + 17*T1^4 - 14*T1^5 + 9*T1^6 - 4*T1^7 + 
     T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 20*T1^3*T2 - 12*T1^4*T2 - 
     12*T1^5*T2 + 20*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 9*T2^2 - 
     20*T1*T2^2 + 24*T1^2*T2^2 - 24*T1^3*T2^2 + 40*T1^4*T2^2 - 26*T1^5*T2^2 + 
     40*T1^6*T2^2 - 24*T1^7*T2^2 + 24*T1^8*T2^2 - 20*T1^9*T2^2 + 
     9*T1^10*T2^2 - 14*T2^3 + 20*T1*T2^3 - 24*T1^2*T2^3 + 68*T1^3*T2^3 - 
     139*T1^4*T2^3 + 39*T1^5*T2^3 + 39*T1^6*T2^3 - 139*T1^7*T2^3 + 
     68*T1^8*T2^3 - 24*T1^9*T2^3 + 20*T1^10*T2^3 - 14*T1^11*T2^3 + 17*T2^4 - 
     12*T1*T2^4 + 40*T1^2*T2^4 - 139*T1^3*T2^4 + 150*T1^4*T2^4 + 
     238*T1^5*T2^4 - 308*T1^6*T2^4 + 238*T1^7*T2^4 + 150*T1^8*T2^4 - 
     139*T1^9*T2^4 + 40*T1^10*T2^4 - 12*T1^11*T2^4 + 17*T1^12*T2^4 - 
     14*T2^5 - 12*T1*T2^5 - 26*T1^2*T2^5 + 39*T1^3*T2^5 + 238*T1^4*T2^5 - 
     834*T1^5*T2^5 + 280*T1^6*T2^5 + 280*T1^7*T2^5 - 834*T1^8*T2^5 + 
     238*T1^9*T2^5 + 39*T1^10*T2^5 - 26*T1^11*T2^5 - 12*T1^12*T2^5 - 
     14*T1^13*T2^5 + 9*T2^6 + 20*T1*T2^6 + 40*T1^2*T2^6 + 39*T1^3*T2^6 - 
     308*T1^4*T2^6 + 280*T1^5*T2^6 + 1397*T1^6*T2^6 - 1733*T1^7*T2^6 + 
     1397*T1^8*T2^6 + 280*T1^9*T2^6 - 308*T1^10*T2^6 + 39*T1^11*T2^6 + 
     40*T1^12*T2^6 + 20*T1^13*T2^6 + 9*T1^14*T2^6 - 4*T2^7 - 20*T1*T2^7 - 
     24*T1^2*T2^7 - 139*T1^3*T2^7 + 238*T1^4*T2^7 + 280*T1^5*T2^7 - 
     1733*T1^6*T2^7 + 520*T1^7*T2^7 + 520*T1^8*T2^7 - 1733*T1^9*T2^7 + 
     280*T1^10*T2^7 + 238*T1^11*T2^7 - 139*T1^12*T2^7 - 24*T1^13*T2^7 - 
     20*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 24*T1^2*T2^8 + 
     68*T1^3*T2^8 + 150*T1^4*T2^8 - 834*T1^5*T2^8 + 1397*T1^6*T2^8 + 
     520*T1^7*T2^8 - 684*T1^8*T2^8 + 520*T1^9*T2^8 + 1397*T1^10*T2^8 - 
     834*T1^11*T2^8 + 150*T1^12*T2^8 + 68*T1^13*T2^8 + 24*T1^14*T2^8 + 
     12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 20*T1^2*T2^9 - 24*T1^3*T2^9 - 
     139*T1^4*T2^9 + 238*T1^5*T2^9 + 280*T1^6*T2^9 - 1733*T1^7*T2^9 + 
     520*T1^8*T2^9 + 520*T1^9*T2^9 - 1733*T1^10*T2^9 + 280*T1^11*T2^9 + 
     238*T1^12*T2^9 - 139*T1^13*T2^9 - 24*T1^14*T2^9 - 20*T1^15*T2^9 - 
     4*T1^16*T2^9 + 9*T1^2*T2^10 + 20*T1^3*T2^10 + 40*T1^4*T2^10 + 
     39*T1^5*T2^10 - 308*T1^6*T2^10 + 280*T1^7*T2^10 + 1397*T1^8*T2^10 - 
     1733*T1^9*T2^10 + 1397*T1^10*T2^10 + 280*T1^11*T2^10 - 308*T1^12*T2^10 + 
     39*T1^13*T2^10 + 40*T1^14*T2^10 + 20*T1^15*T2^10 + 9*T1^16*T2^10 - 
     14*T1^3*T2^11 - 12*T1^4*T2^11 - 26*T1^5*T2^11 + 39*T1^6*T2^11 + 
     238*T1^7*T2^11 - 834*T1^8*T2^11 + 280*T1^9*T2^11 + 280*T1^10*T2^11 - 
     834*T1^11*T2^11 + 238*T1^12*T2^11 + 39*T1^13*T2^11 - 26*T1^14*T2^11 - 
     12*T1^15*T2^11 - 14*T1^16*T2^11 + 17*T1^4*T2^12 - 12*T1^5*T2^12 + 
     40*T1^6*T2^12 - 139*T1^7*T2^12 + 150*T1^8*T2^12 + 238*T1^9*T2^12 - 
     308*T1^10*T2^12 + 238*T1^11*T2^12 + 150*T1^12*T2^12 - 139*T1^13*T2^12 + 
     40*T1^14*T2^12 - 12*T1^15*T2^12 + 17*T1^16*T2^12 - 14*T1^5*T2^13 + 
     20*T1^6*T2^13 - 24*T1^7*T2^13 + 68*T1^8*T2^13 - 139*T1^9*T2^13 + 
     39*T1^10*T2^13 + 39*T1^11*T2^13 - 139*T1^12*T2^13 + 68*T1^13*T2^13 - 
     24*T1^14*T2^13 + 20*T1^15*T2^13 - 14*T1^16*T2^13 + 9*T1^6*T2^14 - 
     20*T1^7*T2^14 + 24*T1^8*T2^14 - 24*T1^9*T2^14 + 40*T1^10*T2^14 - 
     26*T1^11*T2^14 + 40*T1^12*T2^14 - 24*T1^13*T2^14 + 24*T1^14*T2^14 - 
     20*T1^15*T2^14 + 9*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 
     20*T1^9*T2^15 + 20*T1^10*T2^15 - 12*T1^11*T2^15 - 12*T1^12*T2^15 + 
     20*T1^13*T2^15 - 20*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + 
     T1^8*T2^16 - 4*T1^9*T2^16 + 9*T1^10*T2^16 - 14*T1^11*T2^16 + 
     17*T1^12*T2^16 - 14*T1^13*T2^16 + 9*T1^14*T2^16 - 4*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, Knot[12, Alternating, 429] -> 
  {((1 - T + T^2)*(4 - 15*T + 23*T^2 - 15*T^3 + 4*T^4))/T^3, 
   (2*(32 - 150*T1 + 326*T1^2 - 408*T1^3 + 326*T1^4 - 150*T1^5 + 32*T1^6 - 
      150*T2 + 555*T1*T2 - 831*T1^2*T2 + 389*T1^3*T2 + 389*T1^4*T2 - 
      831*T1^5*T2 + 555*T1^6*T2 - 150*T1^7*T2 + 326*T2^2 - 831*T1*T2^2 + 
      322*T1^2*T2^2 + 1621*T1^3*T2^2 - 2561*T1^4*T2^2 + 1621*T1^5*T2^2 + 
      322*T1^6*T2^2 - 831*T1^7*T2^2 + 326*T1^8*T2^2 - 408*T2^3 + 
      389*T1*T2^3 + 1621*T1^2*T2^3 - 3964*T1^3*T2^3 + 1948*T1^4*T2^3 + 
      1948*T1^5*T2^3 - 3964*T1^6*T2^3 + 1621*T1^7*T2^3 + 389*T1^8*T2^3 - 
      408*T1^9*T2^3 + 326*T2^4 + 389*T1*T2^4 - 2561*T1^2*T2^4 + 
      1948*T1^3*T2^4 + 4372*T1^4*T2^4 - 7417*T1^5*T2^4 + 4372*T1^6*T2^4 + 
      1948*T1^7*T2^4 - 2561*T1^8*T2^4 + 389*T1^9*T2^4 + 326*T1^10*T2^4 - 
      150*T2^5 - 831*T1*T2^5 + 1621*T1^2*T2^5 + 1948*T1^3*T2^5 - 
      7417*T1^4*T2^5 + 3755*T1^5*T2^5 + 3755*T1^6*T2^5 - 7417*T1^7*T2^5 + 
      1948*T1^8*T2^5 + 1621*T1^9*T2^5 - 831*T1^10*T2^5 - 150*T1^11*T2^5 + 
      32*T2^6 + 555*T1*T2^6 + 322*T1^2*T2^6 - 3964*T1^3*T2^6 + 
      4372*T1^4*T2^6 + 3755*T1^5*T2^6 - 7752*T1^6*T2^6 + 3755*T1^7*T2^6 + 
      4372*T1^8*T2^6 - 3964*T1^9*T2^6 + 322*T1^10*T2^6 + 555*T1^11*T2^6 + 
      32*T1^12*T2^6 - 150*T1*T2^7 - 831*T1^2*T2^7 + 1621*T1^3*T2^7 + 
      1948*T1^4*T2^7 - 7417*T1^5*T2^7 + 3755*T1^6*T2^7 + 3755*T1^7*T2^7 - 
      7417*T1^8*T2^7 + 1948*T1^9*T2^7 + 1621*T1^10*T2^7 - 831*T1^11*T2^7 - 
      150*T1^12*T2^7 + 326*T1^2*T2^8 + 389*T1^3*T2^8 - 2561*T1^4*T2^8 + 
      1948*T1^5*T2^8 + 4372*T1^6*T2^8 - 7417*T1^7*T2^8 + 4372*T1^8*T2^8 + 
      1948*T1^9*T2^8 - 2561*T1^10*T2^8 + 389*T1^11*T2^8 + 326*T1^12*T2^8 - 
      408*T1^3*T2^9 + 389*T1^4*T2^9 + 1621*T1^5*T2^9 - 3964*T1^6*T2^9 + 
      1948*T1^7*T2^9 + 1948*T1^8*T2^9 - 3964*T1^9*T2^9 + 1621*T1^10*T2^9 + 
      389*T1^11*T2^9 - 408*T1^12*T2^9 + 326*T1^4*T2^10 - 831*T1^5*T2^10 + 
      322*T1^6*T2^10 + 1621*T1^7*T2^10 - 2561*T1^8*T2^10 + 1621*T1^9*T2^10 + 
      322*T1^10*T2^10 - 831*T1^11*T2^10 + 326*T1^12*T2^10 - 150*T1^5*T2^11 + 
      555*T1^6*T2^11 - 831*T1^7*T2^11 + 389*T1^8*T2^11 + 389*T1^9*T2^11 - 
      831*T1^10*T2^11 + 555*T1^11*T2^11 - 150*T1^12*T2^11 + 32*T1^6*T2^12 - 
      150*T1^7*T2^12 + 326*T1^8*T2^12 - 408*T1^9*T2^12 + 326*T1^10*T2^12 - 
      150*T1^11*T2^12 + 32*T1^12*T2^12))/(T1^6*T2^6)}, 
 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, 
   -((17 - 83*T1 + 220*T1^2 - 361*T1^3 + 423*T1^4 - 361*T1^5 + 220*T1^6 - 
      83*T1^7 + 17*T1^8 - 83*T2 + 324*T1*T2 - 675*T1^2*T2 + 699*T1^3*T2 - 
      308*T1^4*T2 - 308*T1^5*T2 + 699*T1^6*T2 - 675*T1^7*T2 + 324*T1^8*T2 - 
      83*T1^9*T2 + 220*T2^2 - 675*T1*T2^2 + 1093*T1^2*T2^2 - 460*T1^3*T2^2 - 
      450*T1^4*T2^2 + 971*T1^5*T2^2 - 450*T1^6*T2^2 - 460*T1^7*T2^2 + 
      1093*T1^8*T2^2 - 675*T1^9*T2^2 + 220*T1^10*T2^2 - 361*T2^3 + 
      699*T1*T2^3 - 460*T1^2*T2^3 - 1564*T1^3*T2^3 + 2140*T1^4*T2^3 - 
      1155*T1^5*T2^3 - 1155*T1^6*T2^3 + 2140*T1^7*T2^3 - 1564*T1^8*T2^3 - 
      460*T1^9*T2^3 + 699*T1^10*T2^3 - 361*T1^11*T2^3 + 423*T2^4 - 
      308*T1*T2^4 - 450*T1^2*T2^4 + 2140*T1^3*T2^4 + 1141*T1^4*T2^4 - 
      5049*T1^5*T2^4 + 7591*T1^6*T2^4 - 5049*T1^7*T2^4 + 1141*T1^8*T2^4 + 
      2140*T1^9*T2^4 - 450*T1^10*T2^4 - 308*T1^11*T2^4 + 423*T1^12*T2^4 - 
      361*T2^5 - 308*T1*T2^5 + 971*T1^2*T2^5 - 1155*T1^3*T2^5 - 
      5049*T1^4*T2^5 + 6384*T1^5*T2^5 - 3671*T1^6*T2^5 - 3671*T1^7*T2^5 + 
      6384*T1^8*T2^5 - 5049*T1^9*T2^5 - 1155*T1^10*T2^5 + 971*T1^11*T2^5 - 
      308*T1^12*T2^5 - 361*T1^13*T2^5 + 220*T2^6 + 699*T1*T2^6 - 
      450*T1^2*T2^6 - 1155*T1^3*T2^6 + 7591*T1^4*T2^6 - 3671*T1^5*T2^6 - 
      1339*T1^6*T2^6 + 5971*T1^7*T2^6 - 1339*T1^8*T2^6 - 3671*T1^9*T2^6 + 
      7591*T1^10*T2^6 - 1155*T1^11*T2^6 - 450*T1^12*T2^6 + 699*T1^13*T2^6 + 
      220*T1^14*T2^6 - 83*T2^7 - 675*T1*T2^7 - 460*T1^2*T2^7 + 
      2140*T1^3*T2^7 - 5049*T1^4*T2^7 - 3671*T1^5*T2^7 + 5971*T1^6*T2^7 - 
      4406*T1^7*T2^7 - 4406*T1^8*T2^7 + 5971*T1^9*T2^7 - 3671*T1^10*T2^7 - 
      5049*T1^11*T2^7 + 2140*T1^12*T2^7 - 460*T1^13*T2^7 - 675*T1^14*T2^7 - 
      83*T1^15*T2^7 + 17*T2^8 + 324*T1*T2^8 + 1093*T1^2*T2^8 - 
      1564*T1^3*T2^8 + 1141*T1^4*T2^8 + 6384*T1^5*T2^8 - 1339*T1^6*T2^8 - 
      4406*T1^7*T2^8 + 10200*T1^8*T2^8 - 4406*T1^9*T2^8 - 1339*T1^10*T2^8 + 
      6384*T1^11*T2^8 + 1141*T1^12*T2^8 - 1564*T1^13*T2^8 + 1093*T1^14*T2^8 + 
      324*T1^15*T2^8 + 17*T1^16*T2^8 - 83*T1*T2^9 - 675*T1^2*T2^9 - 
      460*T1^3*T2^9 + 2140*T1^4*T2^9 - 5049*T1^5*T2^9 - 3671*T1^6*T2^9 + 
      5971*T1^7*T2^9 - 4406*T1^8*T2^9 - 4406*T1^9*T2^9 + 5971*T1^10*T2^9 - 
      3671*T1^11*T2^9 - 5049*T1^12*T2^9 + 2140*T1^13*T2^9 - 460*T1^14*T2^9 - 
      675*T1^15*T2^9 - 83*T1^16*T2^9 + 220*T1^2*T2^10 + 699*T1^3*T2^10 - 
      450*T1^4*T2^10 - 1155*T1^5*T2^10 + 7591*T1^6*T2^10 - 3671*T1^7*T2^10 - 
      1339*T1^8*T2^10 + 5971*T1^9*T2^10 - 1339*T1^10*T2^10 - 
      3671*T1^11*T2^10 + 7591*T1^12*T2^10 - 1155*T1^13*T2^10 - 
      450*T1^14*T2^10 + 699*T1^15*T2^10 + 220*T1^16*T2^10 - 361*T1^3*T2^11 - 
      308*T1^4*T2^11 + 971*T1^5*T2^11 - 1155*T1^6*T2^11 - 5049*T1^7*T2^11 + 
      6384*T1^8*T2^11 - 3671*T1^9*T2^11 - 3671*T1^10*T2^11 + 
      6384*T1^11*T2^11 - 5049*T1^12*T2^11 - 1155*T1^13*T2^11 + 
      971*T1^14*T2^11 - 308*T1^15*T2^11 - 361*T1^16*T2^11 + 423*T1^4*T2^12 - 
      308*T1^5*T2^12 - 450*T1^6*T2^12 + 2140*T1^7*T2^12 + 1141*T1^8*T2^12 - 
      5049*T1^9*T2^12 + 7591*T1^10*T2^12 - 5049*T1^11*T2^12 + 
      1141*T1^12*T2^12 + 2140*T1^13*T2^12 - 450*T1^14*T2^12 - 
      308*T1^15*T2^12 + 423*T1^16*T2^12 - 361*T1^5*T2^13 + 699*T1^6*T2^13 - 
      460*T1^7*T2^13 - 1564*T1^8*T2^13 + 2140*T1^9*T2^13 - 1155*T1^10*T2^13 - 
      1155*T1^11*T2^13 + 2140*T1^12*T2^13 - 1564*T1^13*T2^13 - 
      460*T1^14*T2^13 + 699*T1^15*T2^13 - 361*T1^16*T2^13 + 220*T1^6*T2^14 - 
      675*T1^7*T2^14 + 1093*T1^8*T2^14 - 460*T1^9*T2^14 - 450*T1^10*T2^14 + 
      971*T1^11*T2^14 - 450*T1^12*T2^14 - 460*T1^13*T2^14 + 
      1093*T1^14*T2^14 - 675*T1^15*T2^14 + 220*T1^16*T2^14 - 83*T1^7*T2^15 + 
      324*T1^8*T2^15 - 675*T1^9*T2^15 + 699*T1^10*T2^15 - 308*T1^11*T2^15 - 
      308*T1^12*T2^15 + 699*T1^13*T2^15 - 675*T1^14*T2^15 + 324*T1^15*T2^15 - 
      83*T1^16*T2^15 + 17*T1^8*T2^16 - 83*T1^9*T2^16 + 220*T1^10*T2^16 - 
      361*T1^11*T2^16 + 423*T1^12*T2^16 - 361*T1^13*T2^16 + 220*T1^14*T2^16 - 
      83*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 431] -> 
  {(8 - 31*T + 61*T^2 - 75*T^3 + 61*T^4 - 31*T^5 + 8*T^6)/T^3, 
   (1624 - 6141*T1 + 11939*T1^2 - 14614*T1^3 + 11939*T1^4 - 6141*T1^5 + 
     1624*T1^6 - 6141*T2 + 17212*T1*T2 - 22191*T1^2*T2 + 10270*T1^3*T2 + 
     10270*T1^4*T2 - 22191*T1^5*T2 + 17212*T1^6*T2 - 6141*T1^7*T2 + 
     11939*T2^2 - 22191*T1*T2^2 + 11200*T1^2*T2^2 + 21204*T1^3*T2^2 - 
     37974*T1^4*T2^2 + 21204*T1^5*T2^2 + 11200*T1^6*T2^2 - 22191*T1^7*T2^2 + 
     11939*T1^8*T2^2 - 14614*T2^3 + 10270*T1*T2^3 + 21204*T1^2*T2^3 - 
     50506*T1^3*T2^3 + 25839*T1^4*T2^3 + 25839*T1^5*T2^3 - 50506*T1^6*T2^3 + 
     21204*T1^7*T2^3 + 10270*T1^8*T2^3 - 14614*T1^9*T2^3 + 11939*T2^4 + 
     10270*T1*T2^4 - 37974*T1^2*T2^4 + 25839*T1^3*T2^4 + 43818*T1^4*T2^4 - 
     79434*T1^5*T2^4 + 43818*T1^6*T2^4 + 25839*T1^7*T2^4 - 37974*T1^8*T2^4 + 
     10270*T1^9*T2^4 + 11939*T1^10*T2^4 - 6141*T2^5 - 22191*T1*T2^5 + 
     21204*T1^2*T2^5 + 25839*T1^3*T2^5 - 79434*T1^4*T2^5 + 40780*T1^5*T2^5 + 
     40780*T1^6*T2^5 - 79434*T1^7*T2^5 + 25839*T1^8*T2^5 + 21204*T1^9*T2^5 - 
     22191*T1^10*T2^5 - 6141*T1^11*T2^5 + 1624*T2^6 + 17212*T1*T2^6 + 
     11200*T1^2*T2^6 - 50506*T1^3*T2^6 + 43818*T1^4*T2^6 + 40780*T1^5*T2^6 - 
     83676*T1^6*T2^6 + 40780*T1^7*T2^6 + 43818*T1^8*T2^6 - 50506*T1^9*T2^6 + 
     11200*T1^10*T2^6 + 17212*T1^11*T2^6 + 1624*T1^12*T2^6 - 6141*T1*T2^7 - 
     22191*T1^2*T2^7 + 21204*T1^3*T2^7 + 25839*T1^4*T2^7 - 79434*T1^5*T2^7 + 
     40780*T1^6*T2^7 + 40780*T1^7*T2^7 - 79434*T1^8*T2^7 + 25839*T1^9*T2^7 + 
     21204*T1^10*T2^7 - 22191*T1^11*T2^7 - 6141*T1^12*T2^7 + 
     11939*T1^2*T2^8 + 10270*T1^3*T2^8 - 37974*T1^4*T2^8 + 25839*T1^5*T2^8 + 
     43818*T1^6*T2^8 - 79434*T1^7*T2^8 + 43818*T1^8*T2^8 + 25839*T1^9*T2^8 - 
     37974*T1^10*T2^8 + 10270*T1^11*T2^8 + 11939*T1^12*T2^8 - 
     14614*T1^3*T2^9 + 10270*T1^4*T2^9 + 21204*T1^5*T2^9 - 50506*T1^6*T2^9 + 
     25839*T1^7*T2^9 + 25839*T1^8*T2^9 - 50506*T1^9*T2^9 + 21204*T1^10*T2^9 + 
     10270*T1^11*T2^9 - 14614*T1^12*T2^9 + 11939*T1^4*T2^10 - 
     22191*T1^5*T2^10 + 11200*T1^6*T2^10 + 21204*T1^7*T2^10 - 
     37974*T1^8*T2^10 + 21204*T1^9*T2^10 + 11200*T1^10*T2^10 - 
     22191*T1^11*T2^10 + 11939*T1^12*T2^10 - 6141*T1^5*T2^11 + 
     17212*T1^6*T2^11 - 22191*T1^7*T2^11 + 10270*T1^8*T2^11 + 
     10270*T1^9*T2^11 - 22191*T1^10*T2^11 + 17212*T1^11*T2^11 - 
     6141*T1^12*T2^11 + 1624*T1^6*T2^12 - 6141*T1^7*T2^12 + 
     11939*T1^8*T2^12 - 14614*T1^9*T2^12 + 11939*T1^10*T2^12 - 
     6141*T1^11*T2^12 + 1624*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 432] -> 
  {(7 - 25*T + 46*T^2 - 55*T^3 + 46*T^4 - 25*T^5 + 7*T^6)/T^3, 
   (1120 - 3900*T1 + 7066*T1^2 - 8394*T1^3 + 7066*T1^4 - 3900*T1^5 + 
     1120*T1^6 - 3900*T2 + 9780*T1*T2 - 11229*T1^2*T2 + 4743*T1^3*T2 + 
     4743*T1^4*T2 - 11229*T1^5*T2 + 9780*T1^6*T2 - 3900*T1^7*T2 + 7066*T2^2 - 
     11229*T1*T2^2 + 4007*T1^2*T2^2 + 9909*T1^3*T2^2 - 15325*T1^4*T2^2 + 
     9909*T1^5*T2^2 + 4007*T1^6*T2^2 - 11229*T1^7*T2^2 + 7066*T1^8*T2^2 - 
     8394*T2^3 + 4743*T1*T2^3 + 9909*T1^2*T2^3 - 18648*T1^3*T2^3 + 
     7554*T1^4*T2^3 + 7554*T1^5*T2^3 - 18648*T1^6*T2^3 + 9909*T1^7*T2^3 + 
     4743*T1^8*T2^3 - 8394*T1^9*T2^3 + 7066*T2^4 + 4743*T1*T2^4 - 
     15325*T1^2*T2^4 + 7554*T1^3*T2^4 + 14768*T1^4*T2^4 - 20870*T1^5*T2^4 + 
     14768*T1^6*T2^4 + 7554*T1^7*T2^4 - 15325*T1^8*T2^4 + 4743*T1^9*T2^4 + 
     7066*T1^10*T2^4 - 3900*T2^5 - 11229*T1*T2^5 + 9909*T1^2*T2^5 + 
     7554*T1^3*T2^5 - 20870*T1^4*T2^5 + 7098*T1^5*T2^5 + 7098*T1^6*T2^5 - 
     20870*T1^7*T2^5 + 7554*T1^8*T2^5 + 9909*T1^9*T2^5 - 11229*T1^10*T2^5 - 
     3900*T1^11*T2^5 + 1120*T2^6 + 9780*T1*T2^6 + 4007*T1^2*T2^6 - 
     18648*T1^3*T2^6 + 14768*T1^4*T2^6 + 7098*T1^5*T2^6 - 10932*T1^6*T2^6 + 
     7098*T1^7*T2^6 + 14768*T1^8*T2^6 - 18648*T1^9*T2^6 + 4007*T1^10*T2^6 + 
     9780*T1^11*T2^6 + 1120*T1^12*T2^6 - 3900*T1*T2^7 - 11229*T1^2*T2^7 + 
     9909*T1^3*T2^7 + 7554*T1^4*T2^7 - 20870*T1^5*T2^7 + 7098*T1^6*T2^7 + 
     7098*T1^7*T2^7 - 20870*T1^8*T2^7 + 7554*T1^9*T2^7 + 9909*T1^10*T2^7 - 
     11229*T1^11*T2^7 - 3900*T1^12*T2^7 + 7066*T1^2*T2^8 + 4743*T1^3*T2^8 - 
     15325*T1^4*T2^8 + 7554*T1^5*T2^8 + 14768*T1^6*T2^8 - 20870*T1^7*T2^8 + 
     14768*T1^8*T2^8 + 7554*T1^9*T2^8 - 15325*T1^10*T2^8 + 4743*T1^11*T2^8 + 
     7066*T1^12*T2^8 - 8394*T1^3*T2^9 + 4743*T1^4*T2^9 + 9909*T1^5*T2^9 - 
     18648*T1^6*T2^9 + 7554*T1^7*T2^9 + 7554*T1^8*T2^9 - 18648*T1^9*T2^9 + 
     9909*T1^10*T2^9 + 4743*T1^11*T2^9 - 8394*T1^12*T2^9 + 7066*T1^4*T2^10 - 
     11229*T1^5*T2^10 + 4007*T1^6*T2^10 + 9909*T1^7*T2^10 - 
     15325*T1^8*T2^10 + 9909*T1^9*T2^10 + 4007*T1^10*T2^10 - 
     11229*T1^11*T2^10 + 7066*T1^12*T2^10 - 3900*T1^5*T2^11 + 
     9780*T1^6*T2^11 - 11229*T1^7*T2^11 + 4743*T1^8*T2^11 + 4743*T1^9*T2^11 - 
     11229*T1^10*T2^11 + 9780*T1^11*T2^11 - 3900*T1^12*T2^11 + 
     1120*T1^6*T2^12 - 3900*T1^7*T2^12 + 7066*T1^8*T2^12 - 8394*T1^9*T2^12 + 
     7066*T1^10*T2^12 - 3900*T1^11*T2^12 + 1120*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 433] -> 
  {-(((1 - T + T^2)*(3 - 16*T + 25*T^2 - 16*T^3 + 3*T^4))/T^3), 
   -((57 - 359*T1 + 822*T1^2 - 1061*T1^3 + 822*T1^4 - 359*T1^5 + 57*T1^6 - 
      359*T2 + 1906*T1*T2 - 2933*T1^2*T2 + 1517*T1^3*T2 + 1517*T1^4*T2 - 
      2933*T1^5*T2 + 1906*T1^6*T2 - 359*T1^7*T2 + 822*T2^2 - 2933*T1*T2^2 - 
      1441*T1^2*T2^2 + 12026*T1^3*T2^2 - 18337*T1^4*T2^2 + 12026*T1^5*T2^2 - 
      1441*T1^6*T2^2 - 2933*T1^7*T2^2 + 822*T1^8*T2^2 - 1061*T2^3 + 
      1517*T1*T2^3 + 12026*T1^2*T2^3 - 23778*T1^3*T2^3 + 13444*T1^4*T2^3 + 
      13444*T1^5*T2^3 - 23778*T1^6*T2^3 + 12026*T1^7*T2^3 + 1517*T1^8*T2^3 - 
      1061*T1^9*T2^3 + 822*T2^4 + 1517*T1*T2^4 - 18337*T1^2*T2^4 + 
      13444*T1^3*T2^4 + 19057*T1^4*T2^4 - 41967*T1^5*T2^4 + 19057*T1^6*T2^4 + 
      13444*T1^7*T2^4 - 18337*T1^8*T2^4 + 1517*T1^9*T2^4 + 822*T1^10*T2^4 - 
      359*T2^5 - 2933*T1*T2^5 + 12026*T1^2*T2^5 + 13444*T1^3*T2^5 - 
      41967*T1^4*T2^5 + 26582*T1^5*T2^5 + 26582*T1^6*T2^5 - 41967*T1^7*T2^5 + 
      13444*T1^8*T2^5 + 12026*T1^9*T2^5 - 2933*T1^10*T2^5 - 359*T1^11*T2^5 + 
      57*T2^6 + 1906*T1*T2^6 - 1441*T1^2*T2^6 - 23778*T1^3*T2^6 + 
      19057*T1^4*T2^6 + 26582*T1^5*T2^6 - 60312*T1^6*T2^6 + 26582*T1^7*T2^6 + 
      19057*T1^8*T2^6 - 23778*T1^9*T2^6 - 1441*T1^10*T2^6 + 1906*T1^11*T2^6 + 
      57*T1^12*T2^6 - 359*T1*T2^7 - 2933*T1^2*T2^7 + 12026*T1^3*T2^7 + 
      13444*T1^4*T2^7 - 41967*T1^5*T2^7 + 26582*T1^6*T2^7 + 26582*T1^7*T2^7 - 
      41967*T1^8*T2^7 + 13444*T1^9*T2^7 + 12026*T1^10*T2^7 - 
      2933*T1^11*T2^7 - 359*T1^12*T2^7 + 822*T1^2*T2^8 + 1517*T1^3*T2^8 - 
      18337*T1^4*T2^8 + 13444*T1^5*T2^8 + 19057*T1^6*T2^8 - 41967*T1^7*T2^8 + 
      19057*T1^8*T2^8 + 13444*T1^9*T2^8 - 18337*T1^10*T2^8 + 
      1517*T1^11*T2^8 + 822*T1^12*T2^8 - 1061*T1^3*T2^9 + 1517*T1^4*T2^9 + 
      12026*T1^5*T2^9 - 23778*T1^6*T2^9 + 13444*T1^7*T2^9 + 13444*T1^8*T2^9 - 
      23778*T1^9*T2^9 + 12026*T1^10*T2^9 + 1517*T1^11*T2^9 - 
      1061*T1^12*T2^9 + 822*T1^4*T2^10 - 2933*T1^5*T2^10 - 1441*T1^6*T2^10 + 
      12026*T1^7*T2^10 - 18337*T1^8*T2^10 + 12026*T1^9*T2^10 - 
      1441*T1^10*T2^10 - 2933*T1^11*T2^10 + 822*T1^12*T2^10 - 
      359*T1^5*T2^11 + 1906*T1^6*T2^11 - 2933*T1^7*T2^11 + 1517*T1^8*T2^11 + 
      1517*T1^9*T2^11 - 2933*T1^10*T2^11 + 1906*T1^11*T2^11 - 
      359*T1^12*T2^11 + 57*T1^6*T2^12 - 359*T1^7*T2^12 + 822*T1^8*T2^12 - 
      1061*T1^9*T2^12 + 822*T1^10*T2^12 - 359*T1^11*T2^12 + 57*T1^12*T2^12)/
     (T1^6*T2^6))}, 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), 
   (1 - 8*T1 + 23*T1^2 - 41*T1^3 + 49*T1^4 - 41*T1^5 + 23*T1^6 - 8*T1^7 + 
     T1^8 - 8*T2 + 56*T1*T2 - 119*T1^2*T2 + 141*T1^3*T2 - 62*T1^4*T2 - 
     62*T1^5*T2 + 141*T1^6*T2 - 119*T1^7*T2 + 56*T1^8*T2 - 8*T1^9*T2 + 
     23*T2^2 - 119*T1*T2^2 + 35*T1^2*T2^2 + 353*T1^3*T2^2 - 956*T1^4*T2^2 + 
     1221*T1^5*T2^2 - 956*T1^6*T2^2 + 353*T1^7*T2^2 + 35*T1^8*T2^2 - 
     119*T1^9*T2^2 + 23*T1^10*T2^2 - 41*T2^3 + 141*T1*T2^3 + 353*T1^2*T2^3 - 
     1156*T1^3*T2^3 + 1648*T1^4*T2^3 - 738*T1^5*T2^3 - 738*T1^6*T2^3 + 
     1648*T1^7*T2^3 - 1156*T1^8*T2^3 + 353*T1^9*T2^3 + 141*T1^10*T2^3 - 
     41*T1^11*T2^3 + 49*T2^4 - 62*T1*T2^4 - 956*T1^2*T2^4 + 1648*T1^3*T2^4 - 
     1145*T1^4*T2^4 - 1287*T1^5*T2^4 + 2435*T1^6*T2^4 - 1287*T1^7*T2^4 - 
     1145*T1^8*T2^4 + 1648*T1^9*T2^4 - 956*T1^10*T2^4 - 62*T1^11*T2^4 + 
     49*T1^12*T2^4 - 41*T2^5 - 62*T1*T2^5 + 1221*T1^2*T2^5 - 738*T1^3*T2^5 - 
     1287*T1^4*T2^5 + 3902*T1^5*T2^5 - 1991*T1^6*T2^5 - 1991*T1^7*T2^5 + 
     3902*T1^8*T2^5 - 1287*T1^9*T2^5 - 738*T1^10*T2^5 + 1221*T1^11*T2^5 - 
     62*T1^12*T2^5 - 41*T1^13*T2^5 + 23*T2^6 + 141*T1*T2^6 - 956*T1^2*T2^6 - 
     738*T1^3*T2^6 + 2435*T1^4*T2^6 - 1991*T1^5*T2^6 - 3825*T1^6*T2^6 + 
     6895*T1^7*T2^6 - 3825*T1^8*T2^6 - 1991*T1^9*T2^6 + 2435*T1^10*T2^6 - 
     738*T1^11*T2^6 - 956*T1^12*T2^6 + 141*T1^13*T2^6 + 23*T1^14*T2^6 - 
     8*T2^7 - 119*T1*T2^7 + 353*T1^2*T2^7 + 1648*T1^3*T2^7 - 1287*T1^4*T2^7 - 
     1991*T1^5*T2^7 + 6895*T1^6*T2^7 - 3720*T1^7*T2^7 - 3720*T1^8*T2^7 + 
     6895*T1^9*T2^7 - 1991*T1^10*T2^7 - 1287*T1^11*T2^7 + 1648*T1^12*T2^7 + 
     353*T1^13*T2^7 - 119*T1^14*T2^7 - 8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 
     35*T1^2*T2^8 - 1156*T1^3*T2^8 - 1145*T1^4*T2^8 + 3902*T1^5*T2^8 - 
     3825*T1^6*T2^8 - 3720*T1^7*T2^8 + 7956*T1^8*T2^8 - 3720*T1^9*T2^8 - 
     3825*T1^10*T2^8 + 3902*T1^11*T2^8 - 1145*T1^12*T2^8 - 1156*T1^13*T2^8 + 
     35*T1^14*T2^8 + 56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 119*T1^2*T2^9 + 
     353*T1^3*T2^9 + 1648*T1^4*T2^9 - 1287*T1^5*T2^9 - 1991*T1^6*T2^9 + 
     6895*T1^7*T2^9 - 3720*T1^8*T2^9 - 3720*T1^9*T2^9 + 6895*T1^10*T2^9 - 
     1991*T1^11*T2^9 - 1287*T1^12*T2^9 + 1648*T1^13*T2^9 + 353*T1^14*T2^9 - 
     119*T1^15*T2^9 - 8*T1^16*T2^9 + 23*T1^2*T2^10 + 141*T1^3*T2^10 - 
     956*T1^4*T2^10 - 738*T1^5*T2^10 + 2435*T1^6*T2^10 - 1991*T1^7*T2^10 - 
     3825*T1^8*T2^10 + 6895*T1^9*T2^10 - 3825*T1^10*T2^10 - 
     1991*T1^11*T2^10 + 2435*T1^12*T2^10 - 738*T1^13*T2^10 - 
     956*T1^14*T2^10 + 141*T1^15*T2^10 + 23*T1^16*T2^10 - 41*T1^3*T2^11 - 
     62*T1^4*T2^11 + 1221*T1^5*T2^11 - 738*T1^6*T2^11 - 1287*T1^7*T2^11 + 
     3902*T1^8*T2^11 - 1991*T1^9*T2^11 - 1991*T1^10*T2^11 + 
     3902*T1^11*T2^11 - 1287*T1^12*T2^11 - 738*T1^13*T2^11 + 
     1221*T1^14*T2^11 - 62*T1^15*T2^11 - 41*T1^16*T2^11 + 49*T1^4*T2^12 - 
     62*T1^5*T2^12 - 956*T1^6*T2^12 + 1648*T1^7*T2^12 - 1145*T1^8*T2^12 - 
     1287*T1^9*T2^12 + 2435*T1^10*T2^12 - 1287*T1^11*T2^12 - 
     1145*T1^12*T2^12 + 1648*T1^13*T2^12 - 956*T1^14*T2^12 - 62*T1^15*T2^12 + 
     49*T1^16*T2^12 - 41*T1^5*T2^13 + 141*T1^6*T2^13 + 353*T1^7*T2^13 - 
     1156*T1^8*T2^13 + 1648*T1^9*T2^13 - 738*T1^10*T2^13 - 738*T1^11*T2^13 + 
     1648*T1^12*T2^13 - 1156*T1^13*T2^13 + 353*T1^14*T2^13 + 
     141*T1^15*T2^13 - 41*T1^16*T2^13 + 23*T1^6*T2^14 - 119*T1^7*T2^14 + 
     35*T1^8*T2^14 + 353*T1^9*T2^14 - 956*T1^10*T2^14 + 1221*T1^11*T2^14 - 
     956*T1^12*T2^14 + 353*T1^13*T2^14 + 35*T1^14*T2^14 - 119*T1^15*T2^14 + 
     23*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 119*T1^9*T2^15 + 
     141*T1^10*T2^15 - 62*T1^11*T2^15 - 62*T1^12*T2^15 + 141*T1^13*T2^15 - 
     119*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
     8*T1^9*T2^16 + 23*T1^10*T2^16 - 41*T1^11*T2^16 + 49*T1^12*T2^16 - 
     41*T1^13*T2^16 + 23*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 435] -> 
  {((1 - 3*T + T^2)^2*(1 - T + T^2)^2)/T^4, 0}, 
 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), (1 - 7*T1 + 18*T1^2 - 29*T1^3 + 33*T1^4 - 29*T1^5 + 18*T1^6 - 
     7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 77*T1^2*T2 + 77*T1^3*T2 - 28*T1^4*T2 - 
     28*T1^5*T2 + 77*T1^6*T2 - 77*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 
     18*T2^2 - 77*T1*T2^2 - 2*T1^2*T2^2 + 238*T1^3*T2^2 - 509*T1^4*T2^2 + 
     580*T1^5*T2^2 - 509*T1^6*T2^2 + 238*T1^7*T2^2 - 2*T1^8*T2^2 - 
     77*T1^9*T2^2 + 18*T1^10*T2^2 - 29*T2^3 + 77*T1*T2^3 + 238*T1^2*T2^3 - 
     602*T1^3*T2^3 + 677*T1^4*T2^3 - 214*T1^5*T2^3 - 214*T1^6*T2^3 + 
     677*T1^7*T2^3 - 602*T1^8*T2^3 + 238*T1^9*T2^3 + 77*T1^10*T2^3 - 
     29*T1^11*T2^3 + 33*T2^4 - 28*T1*T2^4 - 509*T1^2*T2^4 + 677*T1^3*T2^4 - 
     287*T1^4*T2^4 - 568*T1^5*T2^4 + 669*T1^6*T2^4 - 568*T1^7*T2^4 - 
     287*T1^8*T2^4 + 677*T1^9*T2^4 - 509*T1^10*T2^4 - 28*T1^11*T2^4 + 
     33*T1^12*T2^4 - 29*T2^5 - 28*T1*T2^5 + 580*T1^2*T2^5 - 214*T1^3*T2^5 - 
     568*T1^4*T2^5 + 1230*T1^5*T2^5 - 368*T1^6*T2^5 - 368*T1^7*T2^5 + 
     1230*T1^8*T2^5 - 568*T1^9*T2^5 - 214*T1^10*T2^5 + 580*T1^11*T2^5 - 
     28*T1^12*T2^5 - 29*T1^13*T2^5 + 18*T2^6 + 77*T1*T2^6 - 509*T1^2*T2^6 - 
     214*T1^3*T2^6 + 669*T1^4*T2^6 - 368*T1^5*T2^6 - 1372*T1^6*T2^6 + 
     1746*T1^7*T2^6 - 1372*T1^8*T2^6 - 368*T1^9*T2^6 + 669*T1^10*T2^6 - 
     214*T1^11*T2^6 - 509*T1^12*T2^6 + 77*T1^13*T2^6 + 18*T1^14*T2^6 - 
     7*T2^7 - 77*T1*T2^7 + 238*T1^2*T2^7 + 677*T1^3*T2^7 - 568*T1^4*T2^7 - 
     368*T1^5*T2^7 + 1746*T1^6*T2^7 - 682*T1^7*T2^7 - 682*T1^8*T2^7 + 
     1746*T1^9*T2^7 - 368*T1^10*T2^7 - 568*T1^11*T2^7 + 677*T1^12*T2^7 + 
     238*T1^13*T2^7 - 77*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 - 
     2*T1^2*T2^8 - 602*T1^3*T2^8 - 287*T1^4*T2^8 + 1230*T1^5*T2^8 - 
     1372*T1^6*T2^8 - 682*T1^7*T2^8 + 1344*T1^8*T2^8 - 682*T1^9*T2^8 - 
     1372*T1^10*T2^8 + 1230*T1^11*T2^8 - 287*T1^12*T2^8 - 602*T1^13*T2^8 - 
     2*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 77*T1^2*T2^9 + 
     238*T1^3*T2^9 + 677*T1^4*T2^9 - 568*T1^5*T2^9 - 368*T1^6*T2^9 + 
     1746*T1^7*T2^9 - 682*T1^8*T2^9 - 682*T1^9*T2^9 + 1746*T1^10*T2^9 - 
     368*T1^11*T2^9 - 568*T1^12*T2^9 + 677*T1^13*T2^9 + 238*T1^14*T2^9 - 
     77*T1^15*T2^9 - 7*T1^16*T2^9 + 18*T1^2*T2^10 + 77*T1^3*T2^10 - 
     509*T1^4*T2^10 - 214*T1^5*T2^10 + 669*T1^6*T2^10 - 368*T1^7*T2^10 - 
     1372*T1^8*T2^10 + 1746*T1^9*T2^10 - 1372*T1^10*T2^10 - 368*T1^11*T2^10 + 
     669*T1^12*T2^10 - 214*T1^13*T2^10 - 509*T1^14*T2^10 + 77*T1^15*T2^10 + 
     18*T1^16*T2^10 - 29*T1^3*T2^11 - 28*T1^4*T2^11 + 580*T1^5*T2^11 - 
     214*T1^6*T2^11 - 568*T1^7*T2^11 + 1230*T1^8*T2^11 - 368*T1^9*T2^11 - 
     368*T1^10*T2^11 + 1230*T1^11*T2^11 - 568*T1^12*T2^11 - 214*T1^13*T2^11 + 
     580*T1^14*T2^11 - 28*T1^15*T2^11 - 29*T1^16*T2^11 + 33*T1^4*T2^12 - 
     28*T1^5*T2^12 - 509*T1^6*T2^12 + 677*T1^7*T2^12 - 287*T1^8*T2^12 - 
     568*T1^9*T2^12 + 669*T1^10*T2^12 - 568*T1^11*T2^12 - 287*T1^12*T2^12 + 
     677*T1^13*T2^12 - 509*T1^14*T2^12 - 28*T1^15*T2^12 + 33*T1^16*T2^12 - 
     29*T1^5*T2^13 + 77*T1^6*T2^13 + 238*T1^7*T2^13 - 602*T1^8*T2^13 + 
     677*T1^9*T2^13 - 214*T1^10*T2^13 - 214*T1^11*T2^13 + 677*T1^12*T2^13 - 
     602*T1^13*T2^13 + 238*T1^14*T2^13 + 77*T1^15*T2^13 - 29*T1^16*T2^13 + 
     18*T1^6*T2^14 - 77*T1^7*T2^14 - 2*T1^8*T2^14 + 238*T1^9*T2^14 - 
     509*T1^10*T2^14 + 580*T1^11*T2^14 - 509*T1^12*T2^14 + 238*T1^13*T2^14 - 
     2*T1^14*T2^14 - 77*T1^15*T2^14 + 18*T1^16*T2^14 - 7*T1^7*T2^15 + 
     42*T1^8*T2^15 - 77*T1^9*T2^15 + 77*T1^10*T2^15 - 28*T1^11*T2^15 - 
     28*T1^12*T2^15 + 77*T1^13*T2^15 - 77*T1^14*T2^15 + 42*T1^15*T2^15 - 
     7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 18*T1^10*T2^16 - 
     29*T1^11*T2^16 + 33*T1^12*T2^16 - 29*T1^13*T2^16 + 18*T1^14*T2^16 - 
     7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 437] -> 
  {-((2 - 14*T + 35*T^2 - 47*T^3 + 35*T^4 - 14*T^5 + 2*T^6)/T^3), 
   (1 - 7*T1 + 17*T1^2 - 23*T1^3 + 17*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
     42*T1*T2 - 70*T1^2*T2 + 42*T1^3*T2 + 42*T1^4*T2 - 70*T1^5*T2 + 
     42*T1^6*T2 - 7*T1^7*T2 + 17*T2^2 - 70*T1*T2^2 - 61*T1^2*T2^2 + 
     399*T1^3*T2^2 - 659*T1^4*T2^2 + 399*T1^5*T2^2 - 61*T1^6*T2^2 - 
     70*T1^7*T2^2 + 17*T1^8*T2^2 - 23*T2^3 + 42*T1*T2^3 + 399*T1^2*T2^3 - 
     828*T1^3*T2^3 + 578*T1^4*T2^3 + 578*T1^5*T2^3 - 828*T1^6*T2^3 + 
     399*T1^7*T2^3 + 42*T1^8*T2^3 - 23*T1^9*T2^3 + 17*T2^4 + 42*T1*T2^4 - 
     659*T1^2*T2^4 + 578*T1^3*T2^4 + 353*T1^4*T2^4 - 1501*T1^5*T2^4 + 
     353*T1^6*T2^4 + 578*T1^7*T2^4 - 659*T1^8*T2^4 + 42*T1^9*T2^4 + 
     17*T1^10*T2^4 - 7*T2^5 - 70*T1*T2^5 + 399*T1^2*T2^5 + 578*T1^3*T2^5 - 
     1501*T1^4*T2^5 + 1320*T1^5*T2^5 + 1320*T1^6*T2^5 - 1501*T1^7*T2^5 + 
     578*T1^8*T2^5 + 399*T1^9*T2^5 - 70*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
     42*T1*T2^6 - 61*T1^2*T2^6 - 828*T1^3*T2^6 + 353*T1^4*T2^6 + 
     1320*T1^5*T2^6 - 3372*T1^6*T2^6 + 1320*T1^7*T2^6 + 353*T1^8*T2^6 - 
     828*T1^9*T2^6 - 61*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 7*T1*T2^7 - 
     70*T1^2*T2^7 + 399*T1^3*T2^7 + 578*T1^4*T2^7 - 1501*T1^5*T2^7 + 
     1320*T1^6*T2^7 + 1320*T1^7*T2^7 - 1501*T1^8*T2^7 + 578*T1^9*T2^7 + 
     399*T1^10*T2^7 - 70*T1^11*T2^7 - 7*T1^12*T2^7 + 17*T1^2*T2^8 + 
     42*T1^3*T2^8 - 659*T1^4*T2^8 + 578*T1^5*T2^8 + 353*T1^6*T2^8 - 
     1501*T1^7*T2^8 + 353*T1^8*T2^8 + 578*T1^9*T2^8 - 659*T1^10*T2^8 + 
     42*T1^11*T2^8 + 17*T1^12*T2^8 - 23*T1^3*T2^9 + 42*T1^4*T2^9 + 
     399*T1^5*T2^9 - 828*T1^6*T2^9 + 578*T1^7*T2^9 + 578*T1^8*T2^9 - 
     828*T1^9*T2^9 + 399*T1^10*T2^9 + 42*T1^11*T2^9 - 23*T1^12*T2^9 + 
     17*T1^4*T2^10 - 70*T1^5*T2^10 - 61*T1^6*T2^10 + 399*T1^7*T2^10 - 
     659*T1^8*T2^10 + 399*T1^9*T2^10 - 61*T1^10*T2^10 - 70*T1^11*T2^10 + 
     17*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 70*T1^7*T2^11 + 
     42*T1^8*T2^11 + 42*T1^9*T2^11 - 70*T1^10*T2^11 + 42*T1^11*T2^11 - 
     7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 17*T1^8*T2^12 - 
     23*T1^9*T2^12 + 17*T1^10*T2^12 - 7*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   -((1 - 6*T1 + 16*T1^2 - 21*T1^3 + 16*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
      40*T1*T2 - 97*T1^2*T2 + 54*T1^3*T2 + 54*T1^4*T2 - 97*T1^5*T2 + 
      40*T1^6*T2 - 6*T1^7*T2 + 16*T2^2 - 97*T1*T2^2 + 103*T1^2*T2^2 + 
      423*T1^3*T2^2 - 757*T1^4*T2^2 + 423*T1^5*T2^2 + 103*T1^6*T2^2 - 
      97*T1^7*T2^2 + 16*T1^8*T2^2 - 21*T2^3 + 54*T1*T2^3 + 423*T1^2*T2^3 - 
      1766*T1^3*T2^3 + 1038*T1^4*T2^3 + 1038*T1^5*T2^3 - 1766*T1^6*T2^3 + 
      423*T1^7*T2^3 + 54*T1^8*T2^3 - 21*T1^9*T2^3 + 16*T2^4 + 54*T1*T2^4 - 
      757*T1^2*T2^4 + 1038*T1^3*T2^4 + 3366*T1^4*T2^4 - 6046*T1^5*T2^4 + 
      3366*T1^6*T2^4 + 1038*T1^7*T2^4 - 757*T1^8*T2^4 + 54*T1^9*T2^4 + 
      16*T1^10*T2^4 - 6*T2^5 - 97*T1*T2^5 + 423*T1^2*T2^5 + 1038*T1^3*T2^5 - 
      6046*T1^4*T2^5 + 3506*T1^5*T2^5 + 3506*T1^6*T2^5 - 6046*T1^7*T2^5 + 
      1038*T1^8*T2^5 + 423*T1^9*T2^5 - 97*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
      40*T1*T2^6 + 103*T1^2*T2^6 - 1766*T1^3*T2^6 + 3366*T1^4*T2^6 + 
      3506*T1^5*T2^6 - 7692*T1^6*T2^6 + 3506*T1^7*T2^6 + 3366*T1^8*T2^6 - 
      1766*T1^9*T2^6 + 103*T1^10*T2^6 + 40*T1^11*T2^6 + T1^12*T2^6 - 
      6*T1*T2^7 - 97*T1^2*T2^7 + 423*T1^3*T2^7 + 1038*T1^4*T2^7 - 
      6046*T1^5*T2^7 + 3506*T1^6*T2^7 + 3506*T1^7*T2^7 - 6046*T1^8*T2^7 + 
      1038*T1^9*T2^7 + 423*T1^10*T2^7 - 97*T1^11*T2^7 - 6*T1^12*T2^7 + 
      16*T1^2*T2^8 + 54*T1^3*T2^8 - 757*T1^4*T2^8 + 1038*T1^5*T2^8 + 
      3366*T1^6*T2^8 - 6046*T1^7*T2^8 + 3366*T1^8*T2^8 + 1038*T1^9*T2^8 - 
      757*T1^10*T2^8 + 54*T1^11*T2^8 + 16*T1^12*T2^8 - 21*T1^3*T2^9 + 
      54*T1^4*T2^9 + 423*T1^5*T2^9 - 1766*T1^6*T2^9 + 1038*T1^7*T2^9 + 
      1038*T1^8*T2^9 - 1766*T1^9*T2^9 + 423*T1^10*T2^9 + 54*T1^11*T2^9 - 
      21*T1^12*T2^9 + 16*T1^4*T2^10 - 97*T1^5*T2^10 + 103*T1^6*T2^10 + 
      423*T1^7*T2^10 - 757*T1^8*T2^10 + 423*T1^9*T2^10 + 103*T1^10*T2^10 - 
      97*T1^11*T2^10 + 16*T1^12*T2^10 - 6*T1^5*T2^11 + 40*T1^6*T2^11 - 
      97*T1^7*T2^11 + 54*T1^8*T2^11 + 54*T1^9*T2^11 - 97*T1^10*T2^11 + 
      40*T1^11*T2^11 - 6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 
      16*T1^8*T2^12 - 21*T1^9*T2^12 + 16*T1^10*T2^12 - 6*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   (2 - 10*T1 + 21*T1^2 - 26*T1^3 + 21*T1^4 - 10*T1^5 + 2*T1^6 - 10*T2 + 
     34*T1*T2 - 36*T1^2*T2 + 10*T1^3*T2 + 10*T1^4*T2 - 36*T1^5*T2 + 
     34*T1^6*T2 - 10*T1^7*T2 + 21*T2^2 - 36*T1*T2^2 - 3*T1^2*T2^2 - 
     66*T1^3*T2^2 + 207*T1^4*T2^2 - 66*T1^5*T2^2 - 3*T1^6*T2^2 - 
     36*T1^7*T2^2 + 21*T1^8*T2^2 - 26*T2^3 + 10*T1*T2^3 - 66*T1^2*T2^3 + 
     530*T1^3*T2^3 - 531*T1^4*T2^3 - 531*T1^5*T2^3 + 530*T1^6*T2^3 - 
     66*T1^7*T2^3 + 10*T1^8*T2^3 - 26*T1^9*T2^3 + 21*T2^4 + 10*T1*T2^4 + 
     207*T1^2*T2^4 - 531*T1^3*T2^4 - 1028*T1^4*T2^4 + 3056*T1^5*T2^4 - 
     1028*T1^6*T2^4 - 531*T1^7*T2^4 + 207*T1^8*T2^4 + 10*T1^9*T2^4 + 
     21*T1^10*T2^4 - 10*T2^5 - 36*T1*T2^5 - 66*T1^2*T2^5 - 531*T1^3*T2^5 + 
     3056*T1^4*T2^5 - 2756*T1^5*T2^5 - 2756*T1^6*T2^5 + 3056*T1^7*T2^5 - 
     531*T1^8*T2^5 - 66*T1^9*T2^5 - 36*T1^10*T2^5 - 10*T1^11*T2^5 + 2*T2^6 + 
     34*T1*T2^6 - 3*T1^2*T2^6 + 530*T1^3*T2^6 - 1028*T1^4*T2^6 - 
     2756*T1^5*T2^6 + 7248*T1^6*T2^6 - 2756*T1^7*T2^6 - 1028*T1^8*T2^6 + 
     530*T1^9*T2^6 - 3*T1^10*T2^6 + 34*T1^11*T2^6 + 2*T1^12*T2^6 - 
     10*T1*T2^7 - 36*T1^2*T2^7 - 66*T1^3*T2^7 - 531*T1^4*T2^7 + 
     3056*T1^5*T2^7 - 2756*T1^6*T2^7 - 2756*T1^7*T2^7 + 3056*T1^8*T2^7 - 
     531*T1^9*T2^7 - 66*T1^10*T2^7 - 36*T1^11*T2^7 - 10*T1^12*T2^7 + 
     21*T1^2*T2^8 + 10*T1^3*T2^8 + 207*T1^4*T2^8 - 531*T1^5*T2^8 - 
     1028*T1^6*T2^8 + 3056*T1^7*T2^8 - 1028*T1^8*T2^8 - 531*T1^9*T2^8 + 
     207*T1^10*T2^8 + 10*T1^11*T2^8 + 21*T1^12*T2^8 - 26*T1^3*T2^9 + 
     10*T1^4*T2^9 - 66*T1^5*T2^9 + 530*T1^6*T2^9 - 531*T1^7*T2^9 - 
     531*T1^8*T2^9 + 530*T1^9*T2^9 - 66*T1^10*T2^9 + 10*T1^11*T2^9 - 
     26*T1^12*T2^9 + 21*T1^4*T2^10 - 36*T1^5*T2^10 - 3*T1^6*T2^10 - 
     66*T1^7*T2^10 + 207*T1^8*T2^10 - 66*T1^9*T2^10 - 3*T1^10*T2^10 - 
     36*T1^11*T2^10 + 21*T1^12*T2^10 - 10*T1^5*T2^11 + 34*T1^6*T2^11 - 
     36*T1^7*T2^11 + 10*T1^8*T2^11 + 10*T1^9*T2^11 - 36*T1^10*T2^11 + 
     34*T1^11*T2^11 - 10*T1^12*T2^11 + 2*T1^6*T2^12 - 10*T1^7*T2^12 + 
     21*T1^8*T2^12 - 26*T1^9*T2^12 + 21*T1^10*T2^12 - 10*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^6*T2^6)}, 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, (17 - 76*T1 + 168*T1^2 - 234*T1^3 + 259*T1^4 - 234*T1^5 + 168*T1^6 - 
     76*T1^7 + 17*T1^8 - 76*T2 + 264*T1*T2 - 412*T1^2*T2 + 296*T1^3*T2 - 
     112*T1^4*T2 - 112*T1^5*T2 + 296*T1^6*T2 - 412*T1^7*T2 + 264*T1^8*T2 - 
     76*T1^9*T2 + 168*T2^2 - 412*T1*T2^2 + 302*T1^2*T2^2 + 335*T1^3*T2^2 - 
     551*T1^4*T2^2 + 666*T1^5*T2^2 - 551*T1^6*T2^2 + 335*T1^7*T2^2 + 
     302*T1^8*T2^2 - 412*T1^9*T2^2 + 168*T1^10*T2^2 - 234*T2^3 + 
     296*T1*T2^3 + 335*T1^2*T2^3 - 1222*T1^3*T2^3 + 619*T1^4*T2^3 - 
     287*T1^5*T2^3 - 287*T1^6*T2^3 + 619*T1^7*T2^3 - 1222*T1^8*T2^3 + 
     335*T1^9*T2^3 + 296*T1^10*T2^3 - 234*T1^11*T2^3 + 259*T2^4 - 
     112*T1*T2^4 - 551*T1^2*T2^4 + 619*T1^3*T2^4 + 1358*T1^4*T2^4 - 
     1549*T1^5*T2^4 + 1976*T1^6*T2^4 - 1549*T1^7*T2^4 + 1358*T1^8*T2^4 + 
     619*T1^9*T2^4 - 551*T1^10*T2^4 - 112*T1^11*T2^4 + 259*T1^12*T2^4 - 
     234*T2^5 - 112*T1*T2^5 + 666*T1^2*T2^5 - 287*T1^3*T2^5 - 
     1549*T1^4*T2^5 + 320*T1^5*T2^5 - 441*T1^6*T2^5 - 441*T1^7*T2^5 + 
     320*T1^8*T2^5 - 1549*T1^9*T2^5 - 287*T1^10*T2^5 + 666*T1^11*T2^5 - 
     112*T1^12*T2^5 - 234*T1^13*T2^5 + 168*T2^6 + 296*T1*T2^6 - 
     551*T1^2*T2^6 - 287*T1^3*T2^6 + 1976*T1^4*T2^6 - 441*T1^5*T2^6 + 
     1346*T1^6*T2^6 - 594*T1^7*T2^6 + 1346*T1^8*T2^6 - 441*T1^9*T2^6 + 
     1976*T1^10*T2^6 - 287*T1^11*T2^6 - 551*T1^12*T2^6 + 296*T1^13*T2^6 + 
     168*T1^14*T2^6 - 76*T2^7 - 412*T1*T2^7 + 335*T1^2*T2^7 + 619*T1^3*T2^7 - 
     1549*T1^4*T2^7 - 441*T1^5*T2^7 - 594*T1^6*T2^7 - 480*T1^7*T2^7 - 
     480*T1^8*T2^7 - 594*T1^9*T2^7 - 441*T1^10*T2^7 - 1549*T1^11*T2^7 + 
     619*T1^12*T2^7 + 335*T1^13*T2^7 - 412*T1^14*T2^7 - 76*T1^15*T2^7 + 
     17*T2^8 + 264*T1*T2^8 + 302*T1^2*T2^8 - 1222*T1^3*T2^8 + 
     1358*T1^4*T2^8 + 320*T1^5*T2^8 + 1346*T1^6*T2^8 - 480*T1^7*T2^8 + 
     1656*T1^8*T2^8 - 480*T1^9*T2^8 + 1346*T1^10*T2^8 + 320*T1^11*T2^8 + 
     1358*T1^12*T2^8 - 1222*T1^13*T2^8 + 302*T1^14*T2^8 + 264*T1^15*T2^8 + 
     17*T1^16*T2^8 - 76*T1*T2^9 - 412*T1^2*T2^9 + 335*T1^3*T2^9 + 
     619*T1^4*T2^9 - 1549*T1^5*T2^9 - 441*T1^6*T2^9 - 594*T1^7*T2^9 - 
     480*T1^8*T2^9 - 480*T1^9*T2^9 - 594*T1^10*T2^9 - 441*T1^11*T2^9 - 
     1549*T1^12*T2^9 + 619*T1^13*T2^9 + 335*T1^14*T2^9 - 412*T1^15*T2^9 - 
     76*T1^16*T2^9 + 168*T1^2*T2^10 + 296*T1^3*T2^10 - 551*T1^4*T2^10 - 
     287*T1^5*T2^10 + 1976*T1^6*T2^10 - 441*T1^7*T2^10 + 1346*T1^8*T2^10 - 
     594*T1^9*T2^10 + 1346*T1^10*T2^10 - 441*T1^11*T2^10 + 1976*T1^12*T2^10 - 
     287*T1^13*T2^10 - 551*T1^14*T2^10 + 296*T1^15*T2^10 + 168*T1^16*T2^10 - 
     234*T1^3*T2^11 - 112*T1^4*T2^11 + 666*T1^5*T2^11 - 287*T1^6*T2^11 - 
     1549*T1^7*T2^11 + 320*T1^8*T2^11 - 441*T1^9*T2^11 - 441*T1^10*T2^11 + 
     320*T1^11*T2^11 - 1549*T1^12*T2^11 - 287*T1^13*T2^11 + 666*T1^14*T2^11 - 
     112*T1^15*T2^11 - 234*T1^16*T2^11 + 259*T1^4*T2^12 - 112*T1^5*T2^12 - 
     551*T1^6*T2^12 + 619*T1^7*T2^12 + 1358*T1^8*T2^12 - 1549*T1^9*T2^12 + 
     1976*T1^10*T2^12 - 1549*T1^11*T2^12 + 1358*T1^12*T2^12 + 
     619*T1^13*T2^12 - 551*T1^14*T2^12 - 112*T1^15*T2^12 + 259*T1^16*T2^12 - 
     234*T1^5*T2^13 + 296*T1^6*T2^13 + 335*T1^7*T2^13 - 1222*T1^8*T2^13 + 
     619*T1^9*T2^13 - 287*T1^10*T2^13 - 287*T1^11*T2^13 + 619*T1^12*T2^13 - 
     1222*T1^13*T2^13 + 335*T1^14*T2^13 + 296*T1^15*T2^13 - 234*T1^16*T2^13 + 
     168*T1^6*T2^14 - 412*T1^7*T2^14 + 302*T1^8*T2^14 + 335*T1^9*T2^14 - 
     551*T1^10*T2^14 + 666*T1^11*T2^14 - 551*T1^12*T2^14 + 335*T1^13*T2^14 + 
     302*T1^14*T2^14 - 412*T1^15*T2^14 + 168*T1^16*T2^14 - 76*T1^7*T2^15 + 
     264*T1^8*T2^15 - 412*T1^9*T2^15 + 296*T1^10*T2^15 - 112*T1^11*T2^15 - 
     112*T1^12*T2^15 + 296*T1^13*T2^15 - 412*T1^14*T2^15 + 264*T1^15*T2^15 - 
     76*T1^16*T2^15 + 17*T1^8*T2^16 - 76*T1^9*T2^16 + 168*T1^10*T2^16 - 
     234*T1^11*T2^16 + 259*T1^12*T2^16 - 234*T1^13*T2^16 + 168*T1^14*T2^16 - 
     76*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 441] -> 
  {(4 - 20*T + 46*T^2 - 59*T^3 + 46*T^4 - 20*T^5 + 4*T^6)/T^3, 
   (80 - 392*T1 + 892*T1^2 - 1136*T1^3 + 892*T1^4 - 392*T1^5 + 80*T1^6 - 
     392*T2 + 1532*T1*T2 - 2458*T1^2*T2 + 1202*T1^3*T2 + 1202*T1^4*T2 - 
     2458*T1^5*T2 + 1532*T1^6*T2 - 392*T1^7*T2 + 892*T2^2 - 2458*T1*T2^2 + 
     1410*T1^2*T2^2 + 4495*T1^3*T2^2 - 7596*T1^4*T2^2 + 4495*T1^5*T2^2 + 
     1410*T1^6*T2^2 - 2458*T1^7*T2^2 + 892*T1^8*T2^2 - 1136*T2^3 + 
     1202*T1*T2^3 + 4495*T1^2*T2^3 - 12654*T1^3*T2^3 + 6510*T1^4*T2^3 + 
     6510*T1^5*T2^3 - 12654*T1^6*T2^3 + 4495*T1^7*T2^3 + 1202*T1^8*T2^3 - 
     1136*T1^9*T2^3 + 892*T2^4 + 1202*T1*T2^4 - 7596*T1^2*T2^4 + 
     6510*T1^3*T2^4 + 15699*T1^4*T2^4 - 26949*T1^5*T2^4 + 15699*T1^6*T2^4 + 
     6510*T1^7*T2^4 - 7596*T1^8*T2^4 + 1202*T1^9*T2^4 + 892*T1^10*T2^4 - 
     392*T2^5 - 2458*T1*T2^5 + 4495*T1^2*T2^5 + 6510*T1^3*T2^5 - 
     26949*T1^4*T2^5 + 13926*T1^5*T2^5 + 13926*T1^6*T2^5 - 26949*T1^7*T2^5 + 
     6510*T1^8*T2^5 + 4495*T1^9*T2^5 - 2458*T1^10*T2^5 - 392*T1^11*T2^5 + 
     80*T2^6 + 1532*T1*T2^6 + 1410*T1^2*T2^6 - 12654*T1^3*T2^6 + 
     15699*T1^4*T2^6 + 13926*T1^5*T2^6 - 28860*T1^6*T2^6 + 13926*T1^7*T2^6 + 
     15699*T1^8*T2^6 - 12654*T1^9*T2^6 + 1410*T1^10*T2^6 + 1532*T1^11*T2^6 + 
     80*T1^12*T2^6 - 392*T1*T2^7 - 2458*T1^2*T2^7 + 4495*T1^3*T2^7 + 
     6510*T1^4*T2^7 - 26949*T1^5*T2^7 + 13926*T1^6*T2^7 + 13926*T1^7*T2^7 - 
     26949*T1^8*T2^7 + 6510*T1^9*T2^7 + 4495*T1^10*T2^7 - 2458*T1^11*T2^7 - 
     392*T1^12*T2^7 + 892*T1^2*T2^8 + 1202*T1^3*T2^8 - 7596*T1^4*T2^8 + 
     6510*T1^5*T2^8 + 15699*T1^6*T2^8 - 26949*T1^7*T2^8 + 15699*T1^8*T2^8 + 
     6510*T1^9*T2^8 - 7596*T1^10*T2^8 + 1202*T1^11*T2^8 + 892*T1^12*T2^8 - 
     1136*T1^3*T2^9 + 1202*T1^4*T2^9 + 4495*T1^5*T2^9 - 12654*T1^6*T2^9 + 
     6510*T1^7*T2^9 + 6510*T1^8*T2^9 - 12654*T1^9*T2^9 + 4495*T1^10*T2^9 + 
     1202*T1^11*T2^9 - 1136*T1^12*T2^9 + 892*T1^4*T2^10 - 2458*T1^5*T2^10 + 
     1410*T1^6*T2^10 + 4495*T1^7*T2^10 - 7596*T1^8*T2^10 + 4495*T1^9*T2^10 + 
     1410*T1^10*T2^10 - 2458*T1^11*T2^10 + 892*T1^12*T2^10 - 392*T1^5*T2^11 + 
     1532*T1^6*T2^11 - 2458*T1^7*T2^11 + 1202*T1^8*T2^11 + 1202*T1^9*T2^11 - 
     2458*T1^10*T2^11 + 1532*T1^11*T2^11 - 392*T1^12*T2^11 + 80*T1^6*T2^12 - 
     392*T1^7*T2^12 + 892*T1^8*T2^12 - 1136*T1^9*T2^12 + 892*T1^10*T2^12 - 
     392*T1^11*T2^12 + 80*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 442] -> 
  {(5 - 14*T + 21*T^2 - 23*T^3 + 21*T^4 - 14*T^5 + 5*T^6)/T^3, 
   (415 - 1142*T1 + 1701*T1^2 - 1857*T1^3 + 1701*T1^4 - 1142*T1^5 + 
     415*T1^6 - 1142*T2 + 2018*T1*T2 - 1560*T1^2*T2 + 438*T1^3*T2 + 
     438*T1^4*T2 - 1560*T1^5*T2 + 2018*T1^6*T2 - 1142*T1^7*T2 + 1701*T2^2 - 
     1560*T1*T2^2 - 166*T1^2*T2^2 + 1085*T1^3*T2^2 - 756*T1^4*T2^2 + 
     1085*T1^5*T2^2 - 166*T1^6*T2^2 - 1560*T1^7*T2^2 + 1701*T1^8*T2^2 - 
     1857*T2^3 + 438*T1*T2^3 + 1085*T1^2*T2^3 - 608*T1^3*T2^3 - 
     366*T1^4*T2^3 - 366*T1^5*T2^3 - 608*T1^6*T2^3 + 1085*T1^7*T2^3 + 
     438*T1^8*T2^3 - 1857*T1^9*T2^3 + 1701*T2^4 + 438*T1*T2^4 - 
     756*T1^2*T2^4 - 366*T1^3*T2^4 + 758*T1^4*T2^4 + 382*T1^5*T2^4 + 
     758*T1^6*T2^4 - 366*T1^7*T2^4 - 756*T1^8*T2^4 + 438*T1^9*T2^4 + 
     1701*T1^10*T2^4 - 1142*T2^5 - 1560*T1*T2^5 + 1085*T1^2*T2^5 - 
     366*T1^3*T2^5 + 382*T1^4*T2^5 - 862*T1^5*T2^5 - 862*T1^6*T2^5 + 
     382*T1^7*T2^5 - 366*T1^8*T2^5 + 1085*T1^9*T2^5 - 1560*T1^10*T2^5 - 
     1142*T1^11*T2^5 + 415*T2^6 + 2018*T1*T2^6 - 166*T1^2*T2^6 - 
     608*T1^3*T2^6 + 758*T1^4*T2^6 - 862*T1^5*T2^6 + 2184*T1^6*T2^6 - 
     862*T1^7*T2^6 + 758*T1^8*T2^6 - 608*T1^9*T2^6 - 166*T1^10*T2^6 + 
     2018*T1^11*T2^6 + 415*T1^12*T2^6 - 1142*T1*T2^7 - 1560*T1^2*T2^7 + 
     1085*T1^3*T2^7 - 366*T1^4*T2^7 + 382*T1^5*T2^7 - 862*T1^6*T2^7 - 
     862*T1^7*T2^7 + 382*T1^8*T2^7 - 366*T1^9*T2^7 + 1085*T1^10*T2^7 - 
     1560*T1^11*T2^7 - 1142*T1^12*T2^7 + 1701*T1^2*T2^8 + 438*T1^3*T2^8 - 
     756*T1^4*T2^8 - 366*T1^5*T2^8 + 758*T1^6*T2^8 + 382*T1^7*T2^8 + 
     758*T1^8*T2^8 - 366*T1^9*T2^8 - 756*T1^10*T2^8 + 438*T1^11*T2^8 + 
     1701*T1^12*T2^8 - 1857*T1^3*T2^9 + 438*T1^4*T2^9 + 1085*T1^5*T2^9 - 
     608*T1^6*T2^9 - 366*T1^7*T2^9 - 366*T1^8*T2^9 - 608*T1^9*T2^9 + 
     1085*T1^10*T2^9 + 438*T1^11*T2^9 - 1857*T1^12*T2^9 + 1701*T1^4*T2^10 - 
     1560*T1^5*T2^10 - 166*T1^6*T2^10 + 1085*T1^7*T2^10 - 756*T1^8*T2^10 + 
     1085*T1^9*T2^10 - 166*T1^10*T2^10 - 1560*T1^11*T2^10 + 
     1701*T1^12*T2^10 - 1142*T1^5*T2^11 + 2018*T1^6*T2^11 - 1560*T1^7*T2^11 + 
     438*T1^8*T2^11 + 438*T1^9*T2^11 - 1560*T1^10*T2^11 + 2018*T1^11*T2^11 - 
     1142*T1^12*T2^11 + 415*T1^6*T2^12 - 1142*T1^7*T2^12 + 1701*T1^8*T2^12 - 
     1857*T1^9*T2^12 + 1701*T1^10*T2^12 - 1142*T1^11*T2^12 + 415*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 443] -> 
  {(10 - 31*T + 43*T^2 - 31*T^3 + 10*T^4)/T^2, 
   (2445 - 7422*T1 + 10243*T1^2 - 7422*T1^3 + 2445*T1^4 - 7422*T2 + 
     15204*T1*T2 - 8642*T1^2*T2 - 8642*T1^3*T2 + 15204*T1^4*T2 - 
     7422*T1^5*T2 + 10243*T2^2 - 8642*T1*T2^2 - 16121*T1^2*T2^2 + 
     33899*T1^3*T2^2 - 16121*T1^4*T2^2 - 8642*T1^5*T2^2 + 10243*T1^6*T2^2 - 
     7422*T2^3 - 8642*T1*T2^3 + 33899*T1^2*T2^3 - 22100*T1^3*T2^3 - 
     22100*T1^4*T2^3 + 33899*T1^5*T2^3 - 8642*T1^6*T2^3 - 7422*T1^7*T2^3 + 
     2445*T2^4 + 15204*T1*T2^4 - 16121*T1^2*T2^4 - 22100*T1^3*T2^4 + 
     51348*T1^4*T2^4 - 22100*T1^5*T2^4 - 16121*T1^6*T2^4 + 15204*T1^7*T2^4 + 
     2445*T1^8*T2^4 - 7422*T1*T2^5 - 8642*T1^2*T2^5 + 33899*T1^3*T2^5 - 
     22100*T1^4*T2^5 - 22100*T1^5*T2^5 + 33899*T1^6*T2^5 - 8642*T1^7*T2^5 - 
     7422*T1^8*T2^5 + 10243*T1^2*T2^6 - 8642*T1^3*T2^6 - 16121*T1^4*T2^6 + 
     33899*T1^5*T2^6 - 16121*T1^6*T2^6 - 8642*T1^7*T2^6 + 10243*T1^8*T2^6 - 
     7422*T1^3*T2^7 + 15204*T1^4*T2^7 - 8642*T1^5*T2^7 - 8642*T1^6*T2^7 + 
     15204*T1^7*T2^7 - 7422*T1^8*T2^7 + 2445*T1^4*T2^8 - 7422*T1^5*T2^8 + 
     10243*T1^6*T2^8 - 7422*T1^7*T2^8 + 2445*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, Alternating, 444] -> 
  {-(((1 - T + T^2)*(2 - 11*T + 17*T^2 - 11*T^3 + 2*T^4))/T^3), 
   -((17 - 111*T1 + 256*T1^2 - 333*T1^3 + 256*T1^4 - 111*T1^5 + 17*T1^6 - 
      111*T2 + 614*T1*T2 - 947*T1^2*T2 + 503*T1^3*T2 + 503*T1^4*T2 - 
      947*T1^5*T2 + 614*T1^6*T2 - 111*T1^7*T2 + 256*T2^2 - 947*T1*T2^2 - 
      530*T1^2*T2^2 + 3980*T1^3*T2^2 - 6152*T1^4*T2^2 + 3980*T1^5*T2^2 - 
      530*T1^6*T2^2 - 947*T1^7*T2^2 + 256*T1^8*T2^2 - 333*T2^3 + 
      503*T1*T2^3 + 3980*T1^2*T2^3 - 7708*T1^3*T2^3 + 4535*T1^4*T2^3 + 
      4535*T1^5*T2^3 - 7708*T1^6*T2^3 + 3980*T1^7*T2^3 + 503*T1^8*T2^3 - 
      333*T1^9*T2^3 + 256*T2^4 + 503*T1*T2^4 - 6152*T1^2*T2^4 + 
      4535*T1^3*T2^4 + 5580*T1^4*T2^4 - 13490*T1^5*T2^4 + 5580*T1^6*T2^4 + 
      4535*T1^7*T2^4 - 6152*T1^8*T2^4 + 503*T1^9*T2^4 + 256*T1^10*T2^4 - 
      111*T2^5 - 947*T1*T2^5 + 3980*T1^2*T2^5 + 4535*T1^3*T2^5 - 
      13490*T1^4*T2^5 + 9082*T1^5*T2^5 + 9082*T1^6*T2^5 - 13490*T1^7*T2^5 + 
      4535*T1^8*T2^5 + 3980*T1^9*T2^5 - 947*T1^10*T2^5 - 111*T1^11*T2^5 + 
      17*T2^6 + 614*T1*T2^6 - 530*T1^2*T2^6 - 7708*T1^3*T2^6 + 
      5580*T1^4*T2^6 + 9082*T1^5*T2^6 - 21072*T1^6*T2^6 + 9082*T1^7*T2^6 + 
      5580*T1^8*T2^6 - 7708*T1^9*T2^6 - 530*T1^10*T2^6 + 614*T1^11*T2^6 + 
      17*T1^12*T2^6 - 111*T1*T2^7 - 947*T1^2*T2^7 + 3980*T1^3*T2^7 + 
      4535*T1^4*T2^7 - 13490*T1^5*T2^7 + 9082*T1^6*T2^7 + 9082*T1^7*T2^7 - 
      13490*T1^8*T2^7 + 4535*T1^9*T2^7 + 3980*T1^10*T2^7 - 947*T1^11*T2^7 - 
      111*T1^12*T2^7 + 256*T1^2*T2^8 + 503*T1^3*T2^8 - 6152*T1^4*T2^8 + 
      4535*T1^5*T2^8 + 5580*T1^6*T2^8 - 13490*T1^7*T2^8 + 5580*T1^8*T2^8 + 
      4535*T1^9*T2^8 - 6152*T1^10*T2^8 + 503*T1^11*T2^8 + 256*T1^12*T2^8 - 
      333*T1^3*T2^9 + 503*T1^4*T2^9 + 3980*T1^5*T2^9 - 7708*T1^6*T2^9 + 
      4535*T1^7*T2^9 + 4535*T1^8*T2^9 - 7708*T1^9*T2^9 + 3980*T1^10*T2^9 + 
      503*T1^11*T2^9 - 333*T1^12*T2^9 + 256*T1^4*T2^10 - 947*T1^5*T2^10 - 
      530*T1^6*T2^10 + 3980*T1^7*T2^10 - 6152*T1^8*T2^10 + 3980*T1^9*T2^10 - 
      530*T1^10*T2^10 - 947*T1^11*T2^10 + 256*T1^12*T2^10 - 111*T1^5*T2^11 + 
      614*T1^6*T2^11 - 947*T1^7*T2^11 + 503*T1^8*T2^11 + 503*T1^9*T2^11 - 
      947*T1^10*T2^11 + 614*T1^11*T2^11 - 111*T1^12*T2^11 + 17*T1^6*T2^12 - 
      111*T1^7*T2^12 + 256*T1^8*T2^12 - 333*T1^9*T2^12 + 256*T1^10*T2^12 - 
      111*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 445] -> 
  {-(((1 - T + T^2)^2*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^4), 
   (1 - 7*T1 + 20*T1^2 - 36*T1^3 + 43*T1^4 - 36*T1^5 + 20*T1^6 - 7*T1^7 + 
     T1^8 - 7*T2 + 42*T1*T2 - 91*T1^2*T2 + 112*T1^3*T2 - 49*T1^4*T2 - 
     49*T1^5*T2 + 112*T1^6*T2 - 91*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 
     20*T2^2 - 91*T1*T2^2 + 82*T1^2*T2^2 + 105*T1^3*T2^2 - 478*T1^4*T2^2 + 
     638*T1^5*T2^2 - 478*T1^6*T2^2 + 105*T1^7*T2^2 + 82*T1^8*T2^2 - 
     91*T1^9*T2^2 + 20*T1^10*T2^2 - 36*T2^3 + 112*T1*T2^3 + 105*T1^2*T2^3 - 
     544*T1^3*T2^3 + 939*T1^4*T2^3 - 415*T1^5*T2^3 - 415*T1^6*T2^3 + 
     939*T1^7*T2^3 - 544*T1^8*T2^3 + 105*T1^9*T2^3 + 112*T1^10*T2^3 - 
     36*T1^11*T2^3 + 43*T2^4 - 49*T1*T2^4 - 478*T1^2*T2^4 + 939*T1^3*T2^4 - 
     853*T1^4*T2^4 - 653*T1^5*T2^4 + 1261*T1^6*T2^4 - 653*T1^7*T2^4 - 
     853*T1^8*T2^4 + 939*T1^9*T2^4 - 478*T1^10*T2^4 - 49*T1^11*T2^4 + 
     43*T1^12*T2^4 - 36*T2^5 - 49*T1*T2^5 + 638*T1^2*T2^5 - 415*T1^3*T2^5 - 
     653*T1^4*T2^5 + 2478*T1^5*T2^5 - 1139*T1^6*T2^5 - 1139*T1^7*T2^5 + 
     2478*T1^8*T2^5 - 653*T1^9*T2^5 - 415*T1^10*T2^5 + 638*T1^11*T2^5 - 
     49*T1^12*T2^5 - 36*T1^13*T2^5 + 20*T2^6 + 112*T1*T2^6 - 478*T1^2*T2^6 - 
     415*T1^3*T2^6 + 1261*T1^4*T2^6 - 1139*T1^5*T2^6 - 2994*T1^6*T2^6 + 
     4712*T1^7*T2^6 - 2994*T1^8*T2^6 - 1139*T1^9*T2^6 + 1261*T1^10*T2^6 - 
     415*T1^11*T2^6 - 478*T1^12*T2^6 + 112*T1^13*T2^6 + 20*T1^14*T2^6 - 
     7*T2^7 - 91*T1*T2^7 + 105*T1^2*T2^7 + 939*T1^3*T2^7 - 653*T1^4*T2^7 - 
     1139*T1^5*T2^7 + 4712*T1^6*T2^7 - 2236*T1^7*T2^7 - 2236*T1^8*T2^7 + 
     4712*T1^9*T2^7 - 1139*T1^10*T2^7 - 653*T1^11*T2^7 + 939*T1^12*T2^7 + 
     105*T1^13*T2^7 - 91*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 
     82*T1^2*T2^8 - 544*T1^3*T2^8 - 853*T1^4*T2^8 + 2478*T1^5*T2^8 - 
     2994*T1^6*T2^8 - 2236*T1^7*T2^8 + 4524*T1^8*T2^8 - 2236*T1^9*T2^8 - 
     2994*T1^10*T2^8 + 2478*T1^11*T2^8 - 853*T1^12*T2^8 - 544*T1^13*T2^8 + 
     82*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 91*T1^2*T2^9 + 
     105*T1^3*T2^9 + 939*T1^4*T2^9 - 653*T1^5*T2^9 - 1139*T1^6*T2^9 + 
     4712*T1^7*T2^9 - 2236*T1^8*T2^9 - 2236*T1^9*T2^9 + 4712*T1^10*T2^9 - 
     1139*T1^11*T2^9 - 653*T1^12*T2^9 + 939*T1^13*T2^9 + 105*T1^14*T2^9 - 
     91*T1^15*T2^9 - 7*T1^16*T2^9 + 20*T1^2*T2^10 + 112*T1^3*T2^10 - 
     478*T1^4*T2^10 - 415*T1^5*T2^10 + 1261*T1^6*T2^10 - 1139*T1^7*T2^10 - 
     2994*T1^8*T2^10 + 4712*T1^9*T2^10 - 2994*T1^10*T2^10 - 
     1139*T1^11*T2^10 + 1261*T1^12*T2^10 - 415*T1^13*T2^10 - 
     478*T1^14*T2^10 + 112*T1^15*T2^10 + 20*T1^16*T2^10 - 36*T1^3*T2^11 - 
     49*T1^4*T2^11 + 638*T1^5*T2^11 - 415*T1^6*T2^11 - 653*T1^7*T2^11 + 
     2478*T1^8*T2^11 - 1139*T1^9*T2^11 - 1139*T1^10*T2^11 + 
     2478*T1^11*T2^11 - 653*T1^12*T2^11 - 415*T1^13*T2^11 + 638*T1^14*T2^11 - 
     49*T1^15*T2^11 - 36*T1^16*T2^11 + 43*T1^4*T2^12 - 49*T1^5*T2^12 - 
     478*T1^6*T2^12 + 939*T1^7*T2^12 - 853*T1^8*T2^12 - 653*T1^9*T2^12 + 
     1261*T1^10*T2^12 - 653*T1^11*T2^12 - 853*T1^12*T2^12 + 939*T1^13*T2^12 - 
     478*T1^14*T2^12 - 49*T1^15*T2^12 + 43*T1^16*T2^12 - 36*T1^5*T2^13 + 
     112*T1^6*T2^13 + 105*T1^7*T2^13 - 544*T1^8*T2^13 + 939*T1^9*T2^13 - 
     415*T1^10*T2^13 - 415*T1^11*T2^13 + 939*T1^12*T2^13 - 544*T1^13*T2^13 + 
     105*T1^14*T2^13 + 112*T1^15*T2^13 - 36*T1^16*T2^13 + 20*T1^6*T2^14 - 
     91*T1^7*T2^14 + 82*T1^8*T2^14 + 105*T1^9*T2^14 - 478*T1^10*T2^14 + 
     638*T1^11*T2^14 - 478*T1^12*T2^14 + 105*T1^13*T2^14 + 82*T1^14*T2^14 - 
     91*T1^15*T2^14 + 20*T1^16*T2^14 - 7*T1^7*T2^15 + 42*T1^8*T2^15 - 
     91*T1^9*T2^15 + 112*T1^10*T2^15 - 49*T1^11*T2^15 - 49*T1^12*T2^15 + 
     112*T1^13*T2^15 - 91*T1^14*T2^15 + 42*T1^15*T2^15 - 7*T1^16*T2^15 + 
     T1^8*T2^16 - 7*T1^9*T2^16 + 20*T1^10*T2^16 - 36*T1^11*T2^16 + 
     43*T1^12*T2^16 - 36*T1^13*T2^16 + 20*T1^14*T2^16 - 7*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, 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), 
   -((1 - 8*T1 + 26*T1^2 - 50*T1^3 + 61*T1^4 - 50*T1^5 + 26*T1^6 - 8*T1^7 + 
      T1^8 - 8*T2 + 56*T1*T2 - 144*T1^2*T2 + 192*T1^3*T2 - 88*T1^4*T2 - 
      88*T1^5*T2 + 192*T1^6*T2 - 144*T1^7*T2 + 56*T1^8*T2 - 8*T1^9*T2 + 
      26*T2^2 - 144*T1*T2^2 + 194*T1^2*T2^2 + 140*T1^3*T2^2 - 902*T1^4*T2^2 + 
      1260*T1^5*T2^2 - 902*T1^6*T2^2 + 140*T1^7*T2^2 + 194*T1^8*T2^2 - 
      144*T1^9*T2^2 + 26*T1^10*T2^2 - 50*T2^3 + 192*T1*T2^3 + 140*T1^2*T2^3 - 
      1258*T1^3*T2^3 + 2284*T1^4*T2^3 - 1074*T1^5*T2^3 - 1074*T1^6*T2^3 + 
      2284*T1^7*T2^3 - 1258*T1^8*T2^3 + 140*T1^9*T2^3 + 192*T1^10*T2^3 - 
      50*T1^11*T2^3 + 61*T2^4 - 88*T1*T2^4 - 902*T1^2*T2^4 + 2284*T1^3*T2^4 - 
      1658*T1^4*T2^4 - 2780*T1^5*T2^4 + 4830*T1^6*T2^4 - 2780*T1^7*T2^4 - 
      1658*T1^8*T2^4 + 2284*T1^9*T2^4 - 902*T1^10*T2^4 - 88*T1^11*T2^4 + 
      61*T1^12*T2^4 - 50*T2^5 - 88*T1*T2^5 + 1260*T1^2*T2^5 - 
      1074*T1^3*T2^5 - 2780*T1^4*T2^5 + 8000*T1^5*T2^5 - 3861*T1^6*T2^5 - 
      3861*T1^7*T2^5 + 8000*T1^8*T2^5 - 2780*T1^9*T2^5 - 1074*T1^10*T2^5 + 
      1260*T1^11*T2^5 - 88*T1^12*T2^5 - 50*T1^13*T2^5 + 26*T2^6 + 
      192*T1*T2^6 - 902*T1^2*T2^6 - 1074*T1^3*T2^6 + 4830*T1^4*T2^6 - 
      3861*T1^5*T2^6 - 8789*T1^6*T2^6 + 14547*T1^7*T2^6 - 8789*T1^8*T2^6 - 
      3861*T1^9*T2^6 + 4830*T1^10*T2^6 - 1074*T1^11*T2^6 - 902*T1^12*T2^6 + 
      192*T1^13*T2^6 + 26*T1^14*T2^6 - 8*T2^7 - 144*T1*T2^7 + 140*T1^2*T2^7 + 
      2284*T1^3*T2^7 - 2780*T1^4*T2^7 - 3861*T1^5*T2^7 + 14547*T1^6*T2^7 - 
      7130*T1^7*T2^7 - 7130*T1^8*T2^7 + 14547*T1^9*T2^7 - 3861*T1^10*T2^7 - 
      2780*T1^11*T2^7 + 2284*T1^12*T2^7 + 140*T1^13*T2^7 - 144*T1^14*T2^7 - 
      8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 194*T1^2*T2^8 - 1258*T1^3*T2^8 - 
      1658*T1^4*T2^8 + 8000*T1^5*T2^8 - 8789*T1^6*T2^8 - 7130*T1^7*T2^8 + 
      14496*T1^8*T2^8 - 7130*T1^9*T2^8 - 8789*T1^10*T2^8 + 8000*T1^11*T2^8 - 
      1658*T1^12*T2^8 - 1258*T1^13*T2^8 + 194*T1^14*T2^8 + 56*T1^15*T2^8 + 
      T1^16*T2^8 - 8*T1*T2^9 - 144*T1^2*T2^9 + 140*T1^3*T2^9 + 
      2284*T1^4*T2^9 - 2780*T1^5*T2^9 - 3861*T1^6*T2^9 + 14547*T1^7*T2^9 - 
      7130*T1^8*T2^9 - 7130*T1^9*T2^9 + 14547*T1^10*T2^9 - 3861*T1^11*T2^9 - 
      2780*T1^12*T2^9 + 2284*T1^13*T2^9 + 140*T1^14*T2^9 - 144*T1^15*T2^9 - 
      8*T1^16*T2^9 + 26*T1^2*T2^10 + 192*T1^3*T2^10 - 902*T1^4*T2^10 - 
      1074*T1^5*T2^10 + 4830*T1^6*T2^10 - 3861*T1^7*T2^10 - 8789*T1^8*T2^10 + 
      14547*T1^9*T2^10 - 8789*T1^10*T2^10 - 3861*T1^11*T2^10 + 
      4830*T1^12*T2^10 - 1074*T1^13*T2^10 - 902*T1^14*T2^10 + 
      192*T1^15*T2^10 + 26*T1^16*T2^10 - 50*T1^3*T2^11 - 88*T1^4*T2^11 + 
      1260*T1^5*T2^11 - 1074*T1^6*T2^11 - 2780*T1^7*T2^11 + 8000*T1^8*T2^11 - 
      3861*T1^9*T2^11 - 3861*T1^10*T2^11 + 8000*T1^11*T2^11 - 
      2780*T1^12*T2^11 - 1074*T1^13*T2^11 + 1260*T1^14*T2^11 - 
      88*T1^15*T2^11 - 50*T1^16*T2^11 + 61*T1^4*T2^12 - 88*T1^5*T2^12 - 
      902*T1^6*T2^12 + 2284*T1^7*T2^12 - 1658*T1^8*T2^12 - 2780*T1^9*T2^12 + 
      4830*T1^10*T2^12 - 2780*T1^11*T2^12 - 1658*T1^12*T2^12 + 
      2284*T1^13*T2^12 - 902*T1^14*T2^12 - 88*T1^15*T2^12 + 61*T1^16*T2^12 - 
      50*T1^5*T2^13 + 192*T1^6*T2^13 + 140*T1^7*T2^13 - 1258*T1^8*T2^13 + 
      2284*T1^9*T2^13 - 1074*T1^10*T2^13 - 1074*T1^11*T2^13 + 
      2284*T1^12*T2^13 - 1258*T1^13*T2^13 + 140*T1^14*T2^13 + 
      192*T1^15*T2^13 - 50*T1^16*T2^13 + 26*T1^6*T2^14 - 144*T1^7*T2^14 + 
      194*T1^8*T2^14 + 140*T1^9*T2^14 - 902*T1^10*T2^14 + 1260*T1^11*T2^14 - 
      902*T1^12*T2^14 + 140*T1^13*T2^14 + 194*T1^14*T2^14 - 144*T1^15*T2^14 + 
      26*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 144*T1^9*T2^15 + 
      192*T1^10*T2^15 - 88*T1^11*T2^15 - 88*T1^12*T2^15 + 192*T1^13*T2^15 - 
      144*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
      8*T1^9*T2^16 + 26*T1^10*T2^16 - 50*T1^11*T2^16 + 61*T1^12*T2^16 - 
      50*T1^13*T2^16 + 26*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 447] -> 
  {-(((-2 + 4*T - 4*T^2 + T^3)*(-1 + 4*T - 4*T^2 + 2*T^3))/T^3), 
   (1 - 7*T1 + 17*T1^2 - 23*T1^3 + 17*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
     42*T1*T2 - 70*T1^2*T2 + 42*T1^3*T2 + 42*T1^4*T2 - 70*T1^5*T2 + 
     42*T1^6*T2 - 7*T1^7*T2 + 17*T2^2 - 70*T1*T2^2 - 18*T1^2*T2^2 + 
     262*T1^3*T2^2 - 460*T1^4*T2^2 + 262*T1^5*T2^2 - 18*T1^6*T2^2 - 
     70*T1^7*T2^2 + 17*T1^8*T2^2 - 23*T2^3 + 42*T1*T2^3 + 262*T1^2*T2^3 - 
     540*T1^3*T2^3 + 388*T1^4*T2^3 + 388*T1^5*T2^3 - 540*T1^6*T2^3 + 
     262*T1^7*T2^3 + 42*T1^8*T2^3 - 23*T1^9*T2^3 + 17*T2^4 + 42*T1*T2^4 - 
     460*T1^2*T2^4 + 388*T1^3*T2^4 + 190*T1^4*T2^4 - 936*T1^5*T2^4 + 
     190*T1^6*T2^4 + 388*T1^7*T2^4 - 460*T1^8*T2^4 + 42*T1^9*T2^4 + 
     17*T1^10*T2^4 - 7*T2^5 - 70*T1*T2^5 + 262*T1^2*T2^5 + 388*T1^3*T2^5 - 
     936*T1^4*T2^5 + 832*T1^5*T2^5 + 832*T1^6*T2^5 - 936*T1^7*T2^5 + 
     388*T1^8*T2^5 + 262*T1^9*T2^5 - 70*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
     42*T1*T2^6 - 18*T1^2*T2^6 - 540*T1^3*T2^6 + 190*T1^4*T2^6 + 
     832*T1^5*T2^6 - 2112*T1^6*T2^6 + 832*T1^7*T2^6 + 190*T1^8*T2^6 - 
     540*T1^9*T2^6 - 18*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 7*T1*T2^7 - 
     70*T1^2*T2^7 + 262*T1^3*T2^7 + 388*T1^4*T2^7 - 936*T1^5*T2^7 + 
     832*T1^6*T2^7 + 832*T1^7*T2^7 - 936*T1^8*T2^7 + 388*T1^9*T2^7 + 
     262*T1^10*T2^7 - 70*T1^11*T2^7 - 7*T1^12*T2^7 + 17*T1^2*T2^8 + 
     42*T1^3*T2^8 - 460*T1^4*T2^8 + 388*T1^5*T2^8 + 190*T1^6*T2^8 - 
     936*T1^7*T2^8 + 190*T1^8*T2^8 + 388*T1^9*T2^8 - 460*T1^10*T2^8 + 
     42*T1^11*T2^8 + 17*T1^12*T2^8 - 23*T1^3*T2^9 + 42*T1^4*T2^9 + 
     262*T1^5*T2^9 - 540*T1^6*T2^9 + 388*T1^7*T2^9 + 388*T1^8*T2^9 - 
     540*T1^9*T2^9 + 262*T1^10*T2^9 + 42*T1^11*T2^9 - 23*T1^12*T2^9 + 
     17*T1^4*T2^10 - 70*T1^5*T2^10 - 18*T1^6*T2^10 + 262*T1^7*T2^10 - 
     460*T1^8*T2^10 + 262*T1^9*T2^10 - 18*T1^10*T2^10 - 70*T1^11*T2^10 + 
     17*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 70*T1^7*T2^11 + 
     42*T1^8*T2^11 + 42*T1^9*T2^11 - 70*T1^10*T2^11 + 42*T1^11*T2^11 - 
     7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 17*T1^8*T2^12 - 
     23*T1^9*T2^12 + 17*T1^10*T2^12 - 7*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 448] -> 
  {((1 - 3*T + T^2)*(5 - 11*T + 5*T^2))/T^2, 
   (4*(10 - 57*T1 + 98*T1^2 - 57*T1^3 + 10*T1^4 - 57*T2 + 267*T1*T2 - 
      232*T1^2*T2 - 232*T1^3*T2 + 267*T1^4*T2 - 57*T1^5*T2 + 98*T2^2 - 
      232*T1*T2^2 - 788*T1^2*T2^2 + 2038*T1^3*T2^2 - 788*T1^4*T2^2 - 
      232*T1^5*T2^2 + 98*T1^6*T2^2 - 57*T2^3 - 232*T1*T2^3 + 2038*T1^2*T2^3 - 
      1972*T1^3*T2^3 - 1972*T1^4*T2^3 + 2038*T1^5*T2^3 - 232*T1^6*T2^3 - 
      57*T1^7*T2^3 + 10*T2^4 + 267*T1*T2^4 - 788*T1^2*T2^4 - 1972*T1^3*T2^4 + 
      5550*T1^4*T2^4 - 1972*T1^5*T2^4 - 788*T1^6*T2^4 + 267*T1^7*T2^4 + 
      10*T1^8*T2^4 - 57*T1*T2^5 - 232*T1^2*T2^5 + 2038*T1^3*T2^5 - 
      1972*T1^4*T2^5 - 1972*T1^5*T2^5 + 2038*T1^6*T2^5 - 232*T1^7*T2^5 - 
      57*T1^8*T2^5 + 98*T1^2*T2^6 - 232*T1^3*T2^6 - 788*T1^4*T2^6 + 
      2038*T1^5*T2^6 - 788*T1^6*T2^6 - 232*T1^7*T2^6 + 98*T1^8*T2^6 - 
      57*T1^3*T2^7 + 267*T1^4*T2^7 - 232*T1^5*T2^7 - 232*T1^6*T2^7 + 
      267*T1^7*T2^7 - 57*T1^8*T2^7 + 10*T1^4*T2^8 - 57*T1^5*T2^8 + 
      98*T1^6*T2^8 - 57*T1^7*T2^8 + 10*T1^8*T2^8))/(T1^4*T2^4)}, 
 Knot[12, Alternating, 449] -> 
  {(2 - 16*T + 45*T^2 - 61*T^3 + 45*T^4 - 16*T^5 + 2*T^6)/T^3, 
   -((7 - 56*T1 + 156*T1^2 - 211*T1^3 + 156*T1^4 - 56*T1^5 + 7*T1^6 - 56*T2 + 
      392*T1*T2 - 800*T1^2*T2 + 440*T1^3*T2 + 440*T1^4*T2 - 800*T1^5*T2 + 
      392*T1^6*T2 - 56*T1^7*T2 + 156*T2^2 - 800*T1*T2^2 + 114*T1^2*T2^2 + 
      3772*T1^3*T2^2 - 6170*T1^4*T2^2 + 3772*T1^5*T2^2 + 114*T1^6*T2^2 - 
      800*T1^7*T2^2 + 156*T1^8*T2^2 - 211*T2^3 + 440*T1*T2^3 + 
      3772*T1^2*T2^3 - 10916*T1^3*T2^3 + 6348*T1^4*T2^3 + 6348*T1^5*T2^3 - 
      10916*T1^6*T2^3 + 3772*T1^7*T2^3 + 440*T1^8*T2^3 - 211*T1^9*T2^3 + 
      156*T2^4 + 440*T1*T2^4 - 6170*T1^2*T2^4 + 6348*T1^3*T2^4 + 
      15309*T1^4*T2^4 - 29583*T1^5*T2^4 + 15309*T1^6*T2^4 + 6348*T1^7*T2^4 - 
      6170*T1^8*T2^4 + 440*T1^9*T2^4 + 156*T1^10*T2^4 - 56*T2^5 - 
      800*T1*T2^5 + 3772*T1^2*T2^5 + 6348*T1^3*T2^5 - 29583*T1^4*T2^5 + 
      18292*T1^5*T2^5 + 18292*T1^6*T2^5 - 29583*T1^7*T2^5 + 6348*T1^8*T2^5 + 
      3772*T1^9*T2^5 - 800*T1^10*T2^5 - 56*T1^11*T2^5 + 7*T2^6 + 
      392*T1*T2^6 + 114*T1^2*T2^6 - 10916*T1^3*T2^6 + 15309*T1^4*T2^6 + 
      18292*T1^5*T2^6 - 41724*T1^6*T2^6 + 18292*T1^7*T2^6 + 15309*T1^8*T2^6 - 
      10916*T1^9*T2^6 + 114*T1^10*T2^6 + 392*T1^11*T2^6 + 7*T1^12*T2^6 - 
      56*T1*T2^7 - 800*T1^2*T2^7 + 3772*T1^3*T2^7 + 6348*T1^4*T2^7 - 
      29583*T1^5*T2^7 + 18292*T1^6*T2^7 + 18292*T1^7*T2^7 - 29583*T1^8*T2^7 + 
      6348*T1^9*T2^7 + 3772*T1^10*T2^7 - 800*T1^11*T2^7 - 56*T1^12*T2^7 + 
      156*T1^2*T2^8 + 440*T1^3*T2^8 - 6170*T1^4*T2^8 + 6348*T1^5*T2^8 + 
      15309*T1^6*T2^8 - 29583*T1^7*T2^8 + 15309*T1^8*T2^8 + 6348*T1^9*T2^8 - 
      6170*T1^10*T2^8 + 440*T1^11*T2^8 + 156*T1^12*T2^8 - 211*T1^3*T2^9 + 
      440*T1^4*T2^9 + 3772*T1^5*T2^9 - 10916*T1^6*T2^9 + 6348*T1^7*T2^9 + 
      6348*T1^8*T2^9 - 10916*T1^9*T2^9 + 3772*T1^10*T2^9 + 440*T1^11*T2^9 - 
      211*T1^12*T2^9 + 156*T1^4*T2^10 - 800*T1^5*T2^10 + 114*T1^6*T2^10 + 
      3772*T1^7*T2^10 - 6170*T1^8*T2^10 + 3772*T1^9*T2^10 + 114*T1^10*T2^10 - 
      800*T1^11*T2^10 + 156*T1^12*T2^10 - 56*T1^5*T2^11 + 392*T1^6*T2^11 - 
      800*T1^7*T2^11 + 440*T1^8*T2^11 + 440*T1^9*T2^11 - 800*T1^10*T2^11 + 
      392*T1^11*T2^11 - 56*T1^12*T2^11 + 7*T1^6*T2^12 - 56*T1^7*T2^12 + 
      156*T1^8*T2^12 - 211*T1^9*T2^12 + 156*T1^10*T2^12 - 56*T1^11*T2^12 + 
      7*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 450] -> 
  {(2 - 16*T + 50*T^2 - 71*T^3 + 50*T^4 - 16*T^5 + 2*T^6)/T^3, 
   -((9 - 72*T1 + 224*T1^2 - 317*T1^3 + 224*T1^4 - 72*T1^5 + 9*T1^6 - 72*T2 + 
      504*T1*T2 - 1216*T1^2*T2 + 744*T1^3*T2 + 744*T1^4*T2 - 1216*T1^5*T2 + 
      504*T1^6*T2 - 72*T1^7*T2 + 224*T2^2 - 1216*T1*T2^2 + 1174*T1^2*T2^2 + 
      4746*T1^3*T2^2 - 9280*T1^4*T2^2 + 4746*T1^5*T2^2 + 1174*T1^6*T2^2 - 
      1216*T1^7*T2^2 + 224*T1^8*T2^2 - 317*T2^3 + 744*T1*T2^3 + 
      4746*T1^2*T2^3 - 19720*T1^3*T2^3 + 13350*T1^4*T2^3 + 13350*T1^5*T2^3 - 
      19720*T1^6*T2^3 + 4746*T1^7*T2^3 + 744*T1^8*T2^3 - 317*T1^9*T2^3 + 
      224*T2^4 + 744*T1*T2^4 - 9280*T1^2*T2^4 + 13350*T1^3*T2^4 + 
      35353*T1^4*T2^4 - 74477*T1^5*T2^4 + 35353*T1^6*T2^4 + 13350*T1^7*T2^4 - 
      9280*T1^8*T2^4 + 744*T1^9*T2^4 + 224*T1^10*T2^4 - 72*T2^5 - 
      1216*T1*T2^5 + 4746*T1^2*T2^5 + 13350*T1^3*T2^5 - 74477*T1^4*T2^5 + 
      52144*T1^5*T2^5 + 52144*T1^6*T2^5 - 74477*T1^7*T2^5 + 13350*T1^8*T2^5 + 
      4746*T1^9*T2^5 - 1216*T1^10*T2^5 - 72*T1^11*T2^5 + 9*T2^6 + 
      504*T1*T2^6 + 1174*T1^2*T2^6 - 19720*T1^3*T2^6 + 35353*T1^4*T2^6 + 
      52144*T1^5*T2^6 - 125652*T1^6*T2^6 + 52144*T1^7*T2^6 + 
      35353*T1^8*T2^6 - 19720*T1^9*T2^6 + 1174*T1^10*T2^6 + 504*T1^11*T2^6 + 
      9*T1^12*T2^6 - 72*T1*T2^7 - 1216*T1^2*T2^7 + 4746*T1^3*T2^7 + 
      13350*T1^4*T2^7 - 74477*T1^5*T2^7 + 52144*T1^6*T2^7 + 52144*T1^7*T2^7 - 
      74477*T1^8*T2^7 + 13350*T1^9*T2^7 + 4746*T1^10*T2^7 - 1216*T1^11*T2^7 - 
      72*T1^12*T2^7 + 224*T1^2*T2^8 + 744*T1^3*T2^8 - 9280*T1^4*T2^8 + 
      13350*T1^5*T2^8 + 35353*T1^6*T2^8 - 74477*T1^7*T2^8 + 35353*T1^8*T2^8 + 
      13350*T1^9*T2^8 - 9280*T1^10*T2^8 + 744*T1^11*T2^8 + 224*T1^12*T2^8 - 
      317*T1^3*T2^9 + 744*T1^4*T2^9 + 4746*T1^5*T2^9 - 19720*T1^6*T2^9 + 
      13350*T1^7*T2^9 + 13350*T1^8*T2^9 - 19720*T1^9*T2^9 + 4746*T1^10*T2^9 + 
      744*T1^11*T2^9 - 317*T1^12*T2^9 + 224*T1^4*T2^10 - 1216*T1^5*T2^10 + 
      1174*T1^6*T2^10 + 4746*T1^7*T2^10 - 9280*T1^8*T2^10 + 4746*T1^9*T2^10 + 
      1174*T1^10*T2^10 - 1216*T1^11*T2^10 + 224*T1^12*T2^10 - 72*T1^5*T2^11 + 
      504*T1^6*T2^11 - 1216*T1^7*T2^11 + 744*T1^8*T2^11 + 744*T1^9*T2^11 - 
      1216*T1^10*T2^11 + 504*T1^11*T2^11 - 72*T1^12*T2^11 + 9*T1^6*T2^12 - 
      72*T1^7*T2^12 + 224*T1^8*T2^12 - 317*T1^9*T2^12 + 224*T1^10*T2^12 - 
      72*T1^11*T2^12 + 9*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), 
   -((1 - 8*T1 + 27*T1^2 - 53*T1^3 + 65*T1^4 - 53*T1^5 + 27*T1^6 - 8*T1^7 + 
      T1^8 - 8*T2 + 56*T1*T2 - 152*T1^2*T2 + 208*T1^3*T2 - 96*T1^4*T2 - 
      96*T1^5*T2 + 208*T1^6*T2 - 152*T1^7*T2 + 56*T1^8*T2 - 8*T1^9*T2 + 
      27*T2^2 - 152*T1*T2^2 + 243*T1^2*T2^2 + 86*T1^3*T2^2 - 918*T1^4*T2^2 + 
      1313*T1^5*T2^2 - 918*T1^6*T2^2 + 86*T1^7*T2^2 + 243*T1^8*T2^2 - 
      152*T1^9*T2^2 + 27*T1^10*T2^2 - 53*T2^3 + 208*T1*T2^3 + 86*T1^2*T2^3 - 
      1374*T1^3*T2^3 + 2634*T1^4*T2^3 - 1253*T1^5*T2^3 - 1253*T1^6*T2^3 + 
      2634*T1^7*T2^3 - 1374*T1^8*T2^3 + 86*T1^9*T2^3 + 208*T1^10*T2^3 - 
      53*T1^11*T2^3 + 65*T2^4 - 96*T1*T2^4 - 918*T1^2*T2^4 + 2634*T1^3*T2^4 - 
      1847*T1^4*T2^4 - 3786*T1^5*T2^4 + 6443*T1^6*T2^4 - 3786*T1^7*T2^4 - 
      1847*T1^8*T2^4 + 2634*T1^9*T2^4 - 918*T1^10*T2^4 - 96*T1^11*T2^4 + 
      65*T1^12*T2^4 - 53*T2^5 - 96*T1*T2^5 + 1313*T1^2*T2^5 - 
      1253*T1^3*T2^5 - 3786*T1^4*T2^5 + 10688*T1^5*T2^5 - 5259*T1^6*T2^5 - 
      5259*T1^7*T2^5 + 10688*T1^8*T2^5 - 3786*T1^9*T2^5 - 1253*T1^10*T2^5 + 
      1313*T1^11*T2^5 - 96*T1^12*T2^5 - 53*T1^13*T2^5 + 27*T2^6 + 
      208*T1*T2^6 - 918*T1^2*T2^6 - 1253*T1^3*T2^6 + 6443*T1^4*T2^6 - 
      5259*T1^5*T2^6 - 11927*T1^6*T2^6 + 20245*T1^7*T2^6 - 11927*T1^8*T2^6 - 
      5259*T1^9*T2^6 + 6443*T1^10*T2^6 - 1253*T1^11*T2^6 - 918*T1^12*T2^6 + 
      208*T1^13*T2^6 + 27*T1^14*T2^6 - 8*T2^7 - 152*T1*T2^7 + 86*T1^2*T2^7 + 
      2634*T1^3*T2^7 - 3786*T1^4*T2^7 - 5259*T1^5*T2^7 + 20245*T1^6*T2^7 - 
      10386*T1^7*T2^7 - 10386*T1^8*T2^7 + 20245*T1^9*T2^7 - 5259*T1^10*T2^7 - 
      3786*T1^11*T2^7 + 2634*T1^12*T2^7 + 86*T1^13*T2^7 - 152*T1^14*T2^7 - 
      8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 243*T1^2*T2^8 - 1374*T1^3*T2^8 - 
      1847*T1^4*T2^8 + 10688*T1^5*T2^8 - 11927*T1^6*T2^8 - 10386*T1^7*T2^8 + 
      21720*T1^8*T2^8 - 10386*T1^9*T2^8 - 11927*T1^10*T2^8 + 
      10688*T1^11*T2^8 - 1847*T1^12*T2^8 - 1374*T1^13*T2^8 + 243*T1^14*T2^8 + 
      56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 152*T1^2*T2^9 + 86*T1^3*T2^9 + 
      2634*T1^4*T2^9 - 3786*T1^5*T2^9 - 5259*T1^6*T2^9 + 20245*T1^7*T2^9 - 
      10386*T1^8*T2^9 - 10386*T1^9*T2^9 + 20245*T1^10*T2^9 - 
      5259*T1^11*T2^9 - 3786*T1^12*T2^9 + 2634*T1^13*T2^9 + 86*T1^14*T2^9 - 
      152*T1^15*T2^9 - 8*T1^16*T2^9 + 27*T1^2*T2^10 + 208*T1^3*T2^10 - 
      918*T1^4*T2^10 - 1253*T1^5*T2^10 + 6443*T1^6*T2^10 - 5259*T1^7*T2^10 - 
      11927*T1^8*T2^10 + 20245*T1^9*T2^10 - 11927*T1^10*T2^10 - 
      5259*T1^11*T2^10 + 6443*T1^12*T2^10 - 1253*T1^13*T2^10 - 
      918*T1^14*T2^10 + 208*T1^15*T2^10 + 27*T1^16*T2^10 - 53*T1^3*T2^11 - 
      96*T1^4*T2^11 + 1313*T1^5*T2^11 - 1253*T1^6*T2^11 - 3786*T1^7*T2^11 + 
      10688*T1^8*T2^11 - 5259*T1^9*T2^11 - 5259*T1^10*T2^11 + 
      10688*T1^11*T2^11 - 3786*T1^12*T2^11 - 1253*T1^13*T2^11 + 
      1313*T1^14*T2^11 - 96*T1^15*T2^11 - 53*T1^16*T2^11 + 65*T1^4*T2^12 - 
      96*T1^5*T2^12 - 918*T1^6*T2^12 + 2634*T1^7*T2^12 - 1847*T1^8*T2^12 - 
      3786*T1^9*T2^12 + 6443*T1^10*T2^12 - 3786*T1^11*T2^12 - 
      1847*T1^12*T2^12 + 2634*T1^13*T2^12 - 918*T1^14*T2^12 - 
      96*T1^15*T2^12 + 65*T1^16*T2^12 - 53*T1^5*T2^13 + 208*T1^6*T2^13 + 
      86*T1^7*T2^13 - 1374*T1^8*T2^13 + 2634*T1^9*T2^13 - 1253*T1^10*T2^13 - 
      1253*T1^11*T2^13 + 2634*T1^12*T2^13 - 1374*T1^13*T2^13 + 
      86*T1^14*T2^13 + 208*T1^15*T2^13 - 53*T1^16*T2^13 + 27*T1^6*T2^14 - 
      152*T1^7*T2^14 + 243*T1^8*T2^14 + 86*T1^9*T2^14 - 918*T1^10*T2^14 + 
      1313*T1^11*T2^14 - 918*T1^12*T2^14 + 86*T1^13*T2^14 + 243*T1^14*T2^14 - 
      152*T1^15*T2^14 + 27*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 
      152*T1^9*T2^15 + 208*T1^10*T2^15 - 96*T1^11*T2^15 - 96*T1^12*T2^15 + 
      208*T1^13*T2^15 - 152*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + 
      T1^8*T2^16 - 8*T1^9*T2^16 + 27*T1^10*T2^16 - 53*T1^11*T2^16 + 
      65*T1^12*T2^16 - 53*T1^13*T2^16 + 27*T1^14*T2^16 - 8*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, 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, 
   (6 - 31*T1 + 67*T1^2 - 86*T1^3 + 67*T1^4 - 31*T1^5 + 6*T1^6 - 31*T2 + 
     126*T1*T2 - 185*T1^2*T2 + 96*T1^3*T2 + 96*T1^4*T2 - 185*T1^5*T2 + 
     126*T1^6*T2 - 31*T1^7*T2 + 67*T2^2 - 185*T1*T2^2 + 37*T1^2*T2^2 + 
     422*T1^3*T2^2 - 703*T1^4*T2^2 + 422*T1^5*T2^2 + 37*T1^6*T2^2 - 
     185*T1^7*T2^2 + 67*T1^8*T2^2 - 86*T2^3 + 96*T1*T2^3 + 422*T1^2*T2^3 - 
     998*T1^3*T2^3 + 550*T1^4*T2^3 + 550*T1^5*T2^3 - 998*T1^6*T2^3 + 
     422*T1^7*T2^3 + 96*T1^8*T2^3 - 86*T1^9*T2^3 + 67*T2^4 + 96*T1*T2^4 - 
     703*T1^2*T2^4 + 550*T1^3*T2^4 + 1137*T1^4*T2^4 - 2073*T1^5*T2^4 + 
     1137*T1^6*T2^4 + 550*T1^7*T2^4 - 703*T1^8*T2^4 + 96*T1^9*T2^4 + 
     67*T1^10*T2^4 - 31*T2^5 - 185*T1*T2^5 + 422*T1^2*T2^5 + 550*T1^3*T2^5 - 
     2073*T1^4*T2^5 + 1074*T1^5*T2^5 + 1074*T1^6*T2^5 - 2073*T1^7*T2^5 + 
     550*T1^8*T2^5 + 422*T1^9*T2^5 - 185*T1^10*T2^5 - 31*T1^11*T2^5 + 
     6*T2^6 + 126*T1*T2^6 + 37*T1^2*T2^6 - 998*T1^3*T2^6 + 1137*T1^4*T2^6 + 
     1074*T1^5*T2^6 - 2148*T1^6*T2^6 + 1074*T1^7*T2^6 + 1137*T1^8*T2^6 - 
     998*T1^9*T2^6 + 37*T1^10*T2^6 + 126*T1^11*T2^6 + 6*T1^12*T2^6 - 
     31*T1*T2^7 - 185*T1^2*T2^7 + 422*T1^3*T2^7 + 550*T1^4*T2^7 - 
     2073*T1^5*T2^7 + 1074*T1^6*T2^7 + 1074*T1^7*T2^7 - 2073*T1^8*T2^7 + 
     550*T1^9*T2^7 + 422*T1^10*T2^7 - 185*T1^11*T2^7 - 31*T1^12*T2^7 + 
     67*T1^2*T2^8 + 96*T1^3*T2^8 - 703*T1^4*T2^8 + 550*T1^5*T2^8 + 
     1137*T1^6*T2^8 - 2073*T1^7*T2^8 + 1137*T1^8*T2^8 + 550*T1^9*T2^8 - 
     703*T1^10*T2^8 + 96*T1^11*T2^8 + 67*T1^12*T2^8 - 86*T1^3*T2^9 + 
     96*T1^4*T2^9 + 422*T1^5*T2^9 - 998*T1^6*T2^9 + 550*T1^7*T2^9 + 
     550*T1^8*T2^9 - 998*T1^9*T2^9 + 422*T1^10*T2^9 + 96*T1^11*T2^9 - 
     86*T1^12*T2^9 + 67*T1^4*T2^10 - 185*T1^5*T2^10 + 37*T1^6*T2^10 + 
     422*T1^7*T2^10 - 703*T1^8*T2^10 + 422*T1^9*T2^10 + 37*T1^10*T2^10 - 
     185*T1^11*T2^10 + 67*T1^12*T2^10 - 31*T1^5*T2^11 + 126*T1^6*T2^11 - 
     185*T1^7*T2^11 + 96*T1^8*T2^11 + 96*T1^9*T2^11 - 185*T1^10*T2^11 + 
     126*T1^11*T2^11 - 31*T1^12*T2^11 + 6*T1^6*T2^12 - 31*T1^7*T2^12 + 
     67*T1^8*T2^12 - 86*T1^9*T2^12 + 67*T1^10*T2^12 - 31*T1^11*T2^12 + 
     6*T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   -((5 - 15*T1 + 25*T1^2 - 31*T1^3 + 25*T1^4 - 15*T1^5 + 5*T1^6 - 15*T2 + 
      30*T1*T2 - 34*T1^2*T2 + 22*T1^3*T2 + 22*T1^4*T2 - 34*T1^5*T2 + 
      30*T1^6*T2 - 15*T1^7*T2 + 25*T2^2 - 34*T1*T2^2 + 34*T1^2*T2^2 + 
      3*T1^3*T2^2 - 72*T1^4*T2^2 + 3*T1^5*T2^2 + 34*T1^6*T2^2 - 
      34*T1^7*T2^2 + 25*T1^8*T2^2 - 31*T2^3 + 22*T1*T2^3 + 3*T1^2*T2^3 - 
      94*T1^3*T2^3 + 110*T1^4*T2^3 + 110*T1^5*T2^3 - 94*T1^6*T2^3 + 
      3*T1^7*T2^3 + 22*T1^8*T2^3 - 31*T1^9*T2^3 + 25*T2^4 + 22*T1*T2^4 - 
      72*T1^2*T2^4 + 110*T1^3*T2^4 + 71*T1^4*T2^4 - 315*T1^5*T2^4 + 
      71*T1^6*T2^4 + 110*T1^7*T2^4 - 72*T1^8*T2^4 + 22*T1^9*T2^4 + 
      25*T1^10*T2^4 - 15*T2^5 - 34*T1*T2^5 + 3*T1^2*T2^5 + 110*T1^3*T2^5 - 
      315*T1^4*T2^5 + 238*T1^5*T2^5 + 238*T1^6*T2^5 - 315*T1^7*T2^5 + 
      110*T1^8*T2^5 + 3*T1^9*T2^5 - 34*T1^10*T2^5 - 15*T1^11*T2^5 + 5*T2^6 + 
      30*T1*T2^6 + 34*T1^2*T2^6 - 94*T1^3*T2^6 + 71*T1^4*T2^6 + 
      238*T1^5*T2^6 - 528*T1^6*T2^6 + 238*T1^7*T2^6 + 71*T1^8*T2^6 - 
      94*T1^9*T2^6 + 34*T1^10*T2^6 + 30*T1^11*T2^6 + 5*T1^12*T2^6 - 
      15*T1*T2^7 - 34*T1^2*T2^7 + 3*T1^3*T2^7 + 110*T1^4*T2^7 - 
      315*T1^5*T2^7 + 238*T1^6*T2^7 + 238*T1^7*T2^7 - 315*T1^8*T2^7 + 
      110*T1^9*T2^7 + 3*T1^10*T2^7 - 34*T1^11*T2^7 - 15*T1^12*T2^7 + 
      25*T1^2*T2^8 + 22*T1^3*T2^8 - 72*T1^4*T2^8 + 110*T1^5*T2^8 + 
      71*T1^6*T2^8 - 315*T1^7*T2^8 + 71*T1^8*T2^8 + 110*T1^9*T2^8 - 
      72*T1^10*T2^8 + 22*T1^11*T2^8 + 25*T1^12*T2^8 - 31*T1^3*T2^9 + 
      22*T1^4*T2^9 + 3*T1^5*T2^9 - 94*T1^6*T2^9 + 110*T1^7*T2^9 + 
      110*T1^8*T2^9 - 94*T1^9*T2^9 + 3*T1^10*T2^9 + 22*T1^11*T2^9 - 
      31*T1^12*T2^9 + 25*T1^4*T2^10 - 34*T1^5*T2^10 + 34*T1^6*T2^10 + 
      3*T1^7*T2^10 - 72*T1^8*T2^10 + 3*T1^9*T2^10 + 34*T1^10*T2^10 - 
      34*T1^11*T2^10 + 25*T1^12*T2^10 - 15*T1^5*T2^11 + 30*T1^6*T2^11 - 
      34*T1^7*T2^11 + 22*T1^8*T2^11 + 22*T1^9*T2^11 - 34*T1^10*T2^11 + 
      30*T1^11*T2^11 - 15*T1^12*T2^11 + 5*T1^6*T2^12 - 15*T1^7*T2^12 + 
      25*T1^8*T2^12 - 31*T1^9*T2^12 + 25*T1^10*T2^12 - 15*T1^11*T2^12 + 
      5*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 454] -> 
  {(2 - 12*T + 24*T^2 - 27*T^3 + 24*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (7 - 41*T1 + 81*T1^2 - 91*T1^3 + 81*T1^4 - 41*T1^5 + 7*T1^6 - 41*T2 + 
     198*T1*T2 - 232*T1^2*T2 + 58*T1^3*T2 + 58*T1^4*T2 - 232*T1^5*T2 + 
     198*T1^6*T2 - 41*T1^7*T2 + 81*T2^2 - 232*T1*T2^2 - 396*T1^2*T2^2 + 
     1276*T1^3*T2^2 - 1300*T1^4*T2^2 + 1276*T1^5*T2^2 - 396*T1^6*T2^2 - 
     232*T1^7*T2^2 + 81*T1^8*T2^2 - 91*T2^3 + 58*T1*T2^3 + 1276*T1^2*T2^3 - 
     1784*T1^3*T2^3 + 346*T1^4*T2^3 + 346*T1^5*T2^3 - 1784*T1^6*T2^3 + 
     1276*T1^7*T2^3 + 58*T1^8*T2^3 - 91*T1^9*T2^3 + 81*T2^4 + 58*T1*T2^4 - 
     1300*T1^2*T2^4 + 346*T1^3*T2^4 + 2424*T1^4*T2^4 - 2636*T1^5*T2^4 + 
     2424*T1^6*T2^4 + 346*T1^7*T2^4 - 1300*T1^8*T2^4 + 58*T1^9*T2^4 + 
     81*T1^10*T2^4 - 41*T2^5 - 232*T1*T2^5 + 1276*T1^2*T2^5 + 346*T1^3*T2^5 - 
     2636*T1^4*T2^5 + 984*T1^5*T2^5 + 984*T1^6*T2^5 - 2636*T1^7*T2^5 + 
     346*T1^8*T2^5 + 1276*T1^9*T2^5 - 232*T1^10*T2^5 - 41*T1^11*T2^5 + 
     7*T2^6 + 198*T1*T2^6 - 396*T1^2*T2^6 - 1784*T1^3*T2^6 + 2424*T1^4*T2^6 + 
     984*T1^5*T2^6 - 2292*T1^6*T2^6 + 984*T1^7*T2^6 + 2424*T1^8*T2^6 - 
     1784*T1^9*T2^6 - 396*T1^10*T2^6 + 198*T1^11*T2^6 + 7*T1^12*T2^6 - 
     41*T1*T2^7 - 232*T1^2*T2^7 + 1276*T1^3*T2^7 + 346*T1^4*T2^7 - 
     2636*T1^5*T2^7 + 984*T1^6*T2^7 + 984*T1^7*T2^7 - 2636*T1^8*T2^7 + 
     346*T1^9*T2^7 + 1276*T1^10*T2^7 - 232*T1^11*T2^7 - 41*T1^12*T2^7 + 
     81*T1^2*T2^8 + 58*T1^3*T2^8 - 1300*T1^4*T2^8 + 346*T1^5*T2^8 + 
     2424*T1^6*T2^8 - 2636*T1^7*T2^8 + 2424*T1^8*T2^8 + 346*T1^9*T2^8 - 
     1300*T1^10*T2^8 + 58*T1^11*T2^8 + 81*T1^12*T2^8 - 91*T1^3*T2^9 + 
     58*T1^4*T2^9 + 1276*T1^5*T2^9 - 1784*T1^6*T2^9 + 346*T1^7*T2^9 + 
     346*T1^8*T2^9 - 1784*T1^9*T2^9 + 1276*T1^10*T2^9 + 58*T1^11*T2^9 - 
     91*T1^12*T2^9 + 81*T1^4*T2^10 - 232*T1^5*T2^10 - 396*T1^6*T2^10 + 
     1276*T1^7*T2^10 - 1300*T1^8*T2^10 + 1276*T1^9*T2^10 - 396*T1^10*T2^10 - 
     232*T1^11*T2^10 + 81*T1^12*T2^10 - 41*T1^5*T2^11 + 198*T1^6*T2^11 - 
     232*T1^7*T2^11 + 58*T1^8*T2^11 + 58*T1^9*T2^11 - 232*T1^10*T2^11 + 
     198*T1^11*T2^11 - 41*T1^12*T2^11 + 7*T1^6*T2^12 - 41*T1^7*T2^12 + 
     81*T1^8*T2^12 - 91*T1^9*T2^12 + 81*T1^10*T2^12 - 41*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, 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), (1 - 8*T1 + 27*T1^2 - 52*T1^3 + 63*T1^4 - 52*T1^5 + 27*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 152*T1^2*T2 + 200*T1^3*T2 - 
     88*T1^4*T2 - 88*T1^5*T2 + 200*T1^6*T2 - 152*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 27*T2^2 - 152*T1*T2^2 + 243*T1^2*T2^2 + 114*T1^3*T2^2 - 
     910*T1^4*T2^2 + 1241*T1^5*T2^2 - 910*T1^6*T2^2 + 114*T1^7*T2^2 + 
     243*T1^8*T2^2 - 152*T1^9*T2^2 + 27*T1^10*T2^2 - 52*T2^3 + 200*T1*T2^3 + 
     114*T1^2*T2^3 - 1486*T1^3*T2^3 + 2590*T1^4*T2^3 - 1120*T1^5*T2^3 - 
     1120*T1^6*T2^3 + 2590*T1^7*T2^3 - 1486*T1^8*T2^3 + 114*T1^9*T2^3 + 
     200*T1^10*T2^3 - 52*T1^11*T2^3 + 63*T2^4 - 88*T1*T2^4 - 910*T1^2*T2^4 + 
     2590*T1^3*T2^4 - 1187*T1^4*T2^4 - 4523*T1^5*T2^4 + 6703*T1^6*T2^4 - 
     4523*T1^7*T2^4 - 1187*T1^8*T2^4 + 2590*T1^9*T2^4 - 910*T1^10*T2^4 - 
     88*T1^11*T2^4 + 63*T1^12*T2^4 - 52*T2^5 - 88*T1*T2^5 + 1241*T1^2*T2^5 - 
     1120*T1^3*T2^5 - 4523*T1^4*T2^5 + 10664*T1^5*T2^5 - 4678*T1^6*T2^5 - 
     4678*T1^7*T2^5 + 10664*T1^8*T2^5 - 4523*T1^9*T2^5 - 1120*T1^10*T2^5 + 
     1241*T1^11*T2^5 - 88*T1^12*T2^5 - 52*T1^13*T2^5 + 27*T2^6 + 
     200*T1*T2^6 - 910*T1^2*T2^6 - 1120*T1^3*T2^6 + 6703*T1^4*T2^6 - 
     4678*T1^5*T2^6 - 11600*T1^6*T2^6 + 18244*T1^7*T2^6 - 11600*T1^8*T2^6 - 
     4678*T1^9*T2^6 + 6703*T1^10*T2^6 - 1120*T1^11*T2^6 - 910*T1^12*T2^6 + 
     200*T1^13*T2^6 + 27*T1^14*T2^6 - 8*T2^7 - 152*T1*T2^7 + 114*T1^2*T2^7 + 
     2590*T1^3*T2^7 - 4523*T1^4*T2^7 - 4678*T1^5*T2^7 + 18244*T1^6*T2^7 - 
     8744*T1^7*T2^7 - 8744*T1^8*T2^7 + 18244*T1^9*T2^7 - 4678*T1^10*T2^7 - 
     4523*T1^11*T2^7 + 2590*T1^12*T2^7 + 114*T1^13*T2^7 - 152*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 243*T1^2*T2^8 - 1486*T1^3*T2^8 - 
     1187*T1^4*T2^8 + 10664*T1^5*T2^8 - 11600*T1^6*T2^8 - 8744*T1^7*T2^8 + 
     18012*T1^8*T2^8 - 8744*T1^9*T2^8 - 11600*T1^10*T2^8 + 10664*T1^11*T2^8 - 
     1187*T1^12*T2^8 - 1486*T1^13*T2^8 + 243*T1^14*T2^8 + 56*T1^15*T2^8 + 
     T1^16*T2^8 - 8*T1*T2^9 - 152*T1^2*T2^9 + 114*T1^3*T2^9 + 
     2590*T1^4*T2^9 - 4523*T1^5*T2^9 - 4678*T1^6*T2^9 + 18244*T1^7*T2^9 - 
     8744*T1^8*T2^9 - 8744*T1^9*T2^9 + 18244*T1^10*T2^9 - 4678*T1^11*T2^9 - 
     4523*T1^12*T2^9 + 2590*T1^13*T2^9 + 114*T1^14*T2^9 - 152*T1^15*T2^9 - 
     8*T1^16*T2^9 + 27*T1^2*T2^10 + 200*T1^3*T2^10 - 910*T1^4*T2^10 - 
     1120*T1^5*T2^10 + 6703*T1^6*T2^10 - 4678*T1^7*T2^10 - 11600*T1^8*T2^10 + 
     18244*T1^9*T2^10 - 11600*T1^10*T2^10 - 4678*T1^11*T2^10 + 
     6703*T1^12*T2^10 - 1120*T1^13*T2^10 - 910*T1^14*T2^10 + 
     200*T1^15*T2^10 + 27*T1^16*T2^10 - 52*T1^3*T2^11 - 88*T1^4*T2^11 + 
     1241*T1^5*T2^11 - 1120*T1^6*T2^11 - 4523*T1^7*T2^11 + 10664*T1^8*T2^11 - 
     4678*T1^9*T2^11 - 4678*T1^10*T2^11 + 10664*T1^11*T2^11 - 
     4523*T1^12*T2^11 - 1120*T1^13*T2^11 + 1241*T1^14*T2^11 - 
     88*T1^15*T2^11 - 52*T1^16*T2^11 + 63*T1^4*T2^12 - 88*T1^5*T2^12 - 
     910*T1^6*T2^12 + 2590*T1^7*T2^12 - 1187*T1^8*T2^12 - 4523*T1^9*T2^12 + 
     6703*T1^10*T2^12 - 4523*T1^11*T2^12 - 1187*T1^12*T2^12 + 
     2590*T1^13*T2^12 - 910*T1^14*T2^12 - 88*T1^15*T2^12 + 63*T1^16*T2^12 - 
     52*T1^5*T2^13 + 200*T1^6*T2^13 + 114*T1^7*T2^13 - 1486*T1^8*T2^13 + 
     2590*T1^9*T2^13 - 1120*T1^10*T2^13 - 1120*T1^11*T2^13 + 
     2590*T1^12*T2^13 - 1486*T1^13*T2^13 + 114*T1^14*T2^13 + 
     200*T1^15*T2^13 - 52*T1^16*T2^13 + 27*T1^6*T2^14 - 152*T1^7*T2^14 + 
     243*T1^8*T2^14 + 114*T1^9*T2^14 - 910*T1^10*T2^14 + 1241*T1^11*T2^14 - 
     910*T1^12*T2^14 + 114*T1^13*T2^14 + 243*T1^14*T2^14 - 152*T1^15*T2^14 + 
     27*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 152*T1^9*T2^15 + 
     200*T1^10*T2^15 - 88*T1^11*T2^15 - 88*T1^12*T2^15 + 200*T1^13*T2^15 - 
     152*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
     8*T1^9*T2^16 + 27*T1^10*T2^16 - 52*T1^11*T2^16 + 63*T1^12*T2^16 - 
     52*T1^13*T2^16 + 27*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, 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, 
   -((5 - 21*T1 + 48*T1^2 - 65*T1^3 + 48*T1^4 - 21*T1^5 + 5*T1^6 - 21*T2 + 
      68*T1*T2 - 119*T1^2*T2 + 76*T1^3*T2 + 76*T1^4*T2 - 119*T1^5*T2 + 
      68*T1^6*T2 - 21*T1^7*T2 + 48*T2^2 - 119*T1*T2^2 + 151*T1^2*T2^2 + 
      56*T1^3*T2^2 - 301*T1^4*T2^2 + 56*T1^5*T2^2 + 151*T1^6*T2^2 - 
      119*T1^7*T2^2 + 48*T1^8*T2^2 - 65*T2^3 + 76*T1*T2^3 + 56*T1^2*T2^3 - 
      466*T1^3*T2^3 + 429*T1^4*T2^3 + 429*T1^5*T2^3 - 466*T1^6*T2^3 + 
      56*T1^7*T2^3 + 76*T1^8*T2^3 - 65*T1^9*T2^3 + 48*T2^4 + 76*T1*T2^4 - 
      301*T1^2*T2^4 + 429*T1^3*T2^4 + 402*T1^4*T2^4 - 1388*T1^5*T2^4 + 
      402*T1^6*T2^4 + 429*T1^7*T2^4 - 301*T1^8*T2^4 + 76*T1^9*T2^4 + 
      48*T1^10*T2^4 - 21*T2^5 - 119*T1*T2^5 + 56*T1^2*T2^5 + 429*T1^3*T2^5 - 
      1388*T1^4*T2^5 + 1084*T1^5*T2^5 + 1084*T1^6*T2^5 - 1388*T1^7*T2^5 + 
      429*T1^8*T2^5 + 56*T1^9*T2^5 - 119*T1^10*T2^5 - 21*T1^11*T2^5 + 
      5*T2^6 + 68*T1*T2^6 + 151*T1^2*T2^6 - 466*T1^3*T2^6 + 402*T1^4*T2^6 + 
      1084*T1^5*T2^6 - 2568*T1^6*T2^6 + 1084*T1^7*T2^6 + 402*T1^8*T2^6 - 
      466*T1^9*T2^6 + 151*T1^10*T2^6 + 68*T1^11*T2^6 + 5*T1^12*T2^6 - 
      21*T1*T2^7 - 119*T1^2*T2^7 + 56*T1^3*T2^7 + 429*T1^4*T2^7 - 
      1388*T1^5*T2^7 + 1084*T1^6*T2^7 + 1084*T1^7*T2^7 - 1388*T1^8*T2^7 + 
      429*T1^9*T2^7 + 56*T1^10*T2^7 - 119*T1^11*T2^7 - 21*T1^12*T2^7 + 
      48*T1^2*T2^8 + 76*T1^3*T2^8 - 301*T1^4*T2^8 + 429*T1^5*T2^8 + 
      402*T1^6*T2^8 - 1388*T1^7*T2^8 + 402*T1^8*T2^8 + 429*T1^9*T2^8 - 
      301*T1^10*T2^8 + 76*T1^11*T2^8 + 48*T1^12*T2^8 - 65*T1^3*T2^9 + 
      76*T1^4*T2^9 + 56*T1^5*T2^9 - 466*T1^6*T2^9 + 429*T1^7*T2^9 + 
      429*T1^8*T2^9 - 466*T1^9*T2^9 + 56*T1^10*T2^9 + 76*T1^11*T2^9 - 
      65*T1^12*T2^9 + 48*T1^4*T2^10 - 119*T1^5*T2^10 + 151*T1^6*T2^10 + 
      56*T1^7*T2^10 - 301*T1^8*T2^10 + 56*T1^9*T2^10 + 151*T1^10*T2^10 - 
      119*T1^11*T2^10 + 48*T1^12*T2^10 - 21*T1^5*T2^11 + 68*T1^6*T2^11 - 
      119*T1^7*T2^11 + 76*T1^8*T2^11 + 76*T1^9*T2^11 - 119*T1^10*T2^11 + 
      68*T1^11*T2^11 - 21*T1^12*T2^11 + 5*T1^6*T2^12 - 21*T1^7*T2^12 + 
      48*T1^8*T2^12 - 65*T1^9*T2^12 + 48*T1^10*T2^12 - 21*T1^11*T2^12 + 
      5*T1^12*T2^12)/(T1^6*T2^6))}, 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), (1 - 8*T1 + 29*T1^2 - 60*T1^3 + 75*T1^4 - 60*T1^5 + 29*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 168*T1^2*T2 + 248*T1^3*T2 - 
     120*T1^4*T2 - 120*T1^5*T2 + 248*T1^6*T2 - 168*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 29*T2^2 - 168*T1*T2^2 + 355*T1^2*T2^2 - 103*T1^3*T2^2 - 
     851*T1^4*T2^2 + 1359*T1^5*T2^2 - 851*T1^6*T2^2 - 103*T1^7*T2^2 + 
     355*T1^8*T2^2 - 168*T1^9*T2^2 + 29*T1^10*T2^2 - 60*T2^3 + 248*T1*T2^3 - 
     103*T1^2*T2^3 - 1358*T1^3*T2^3 + 3180*T1^4*T2^3 - 1648*T1^5*T2^3 - 
     1648*T1^6*T2^3 + 3180*T1^7*T2^3 - 1358*T1^8*T2^3 - 103*T1^9*T2^3 + 
     248*T1^10*T2^3 - 60*T1^11*T2^3 + 75*T2^4 - 120*T1*T2^4 - 851*T1^2*T2^4 + 
     3180*T1^3*T2^4 - 2568*T1^4*T2^4 - 5191*T1^5*T2^4 + 9392*T1^6*T2^4 - 
     5191*T1^7*T2^4 - 2568*T1^8*T2^4 + 3180*T1^9*T2^4 - 851*T1^10*T2^4 - 
     120*T1^11*T2^4 + 75*T1^12*T2^4 - 60*T2^5 - 120*T1*T2^5 + 
     1359*T1^2*T2^5 - 1648*T1^3*T2^5 - 5191*T1^4*T2^5 + 15708*T1^5*T2^5 - 
     8348*T1^6*T2^5 - 8348*T1^7*T2^5 + 15708*T1^8*T2^5 - 5191*T1^9*T2^5 - 
     1648*T1^10*T2^5 + 1359*T1^11*T2^5 - 120*T1^12*T2^5 - 60*T1^13*T2^5 + 
     29*T2^6 + 248*T1*T2^6 - 851*T1^2*T2^6 - 1648*T1^3*T2^6 + 
     9392*T1^4*T2^6 - 8348*T1^5*T2^6 - 17740*T1^6*T2^6 + 32190*T1^7*T2^6 - 
     17740*T1^8*T2^6 - 8348*T1^9*T2^6 + 9392*T1^10*T2^6 - 1648*T1^11*T2^6 - 
     851*T1^12*T2^6 + 248*T1^13*T2^6 + 29*T1^14*T2^6 - 8*T2^7 - 168*T1*T2^7 - 
     103*T1^2*T2^7 + 3180*T1^3*T2^7 - 5191*T1^4*T2^7 - 8348*T1^5*T2^7 + 
     32190*T1^6*T2^7 - 17828*T1^7*T2^7 - 17828*T1^8*T2^7 + 32190*T1^9*T2^7 - 
     8348*T1^10*T2^7 - 5191*T1^11*T2^7 + 3180*T1^12*T2^7 - 103*T1^13*T2^7 - 
     168*T1^14*T2^7 - 8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 355*T1^2*T2^8 - 
     1358*T1^3*T2^8 - 2568*T1^4*T2^8 + 15708*T1^5*T2^8 - 17740*T1^6*T2^8 - 
     17828*T1^7*T2^8 + 38628*T1^8*T2^8 - 17828*T1^9*T2^8 - 17740*T1^10*T2^8 + 
     15708*T1^11*T2^8 - 2568*T1^12*T2^8 - 1358*T1^13*T2^8 + 355*T1^14*T2^8 + 
     56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 168*T1^2*T2^9 - 103*T1^3*T2^9 + 
     3180*T1^4*T2^9 - 5191*T1^5*T2^9 - 8348*T1^6*T2^9 + 32190*T1^7*T2^9 - 
     17828*T1^8*T2^9 - 17828*T1^9*T2^9 + 32190*T1^10*T2^9 - 8348*T1^11*T2^9 - 
     5191*T1^12*T2^9 + 3180*T1^13*T2^9 - 103*T1^14*T2^9 - 168*T1^15*T2^9 - 
     8*T1^16*T2^9 + 29*T1^2*T2^10 + 248*T1^3*T2^10 - 851*T1^4*T2^10 - 
     1648*T1^5*T2^10 + 9392*T1^6*T2^10 - 8348*T1^7*T2^10 - 17740*T1^8*T2^10 + 
     32190*T1^9*T2^10 - 17740*T1^10*T2^10 - 8348*T1^11*T2^10 + 
     9392*T1^12*T2^10 - 1648*T1^13*T2^10 - 851*T1^14*T2^10 + 
     248*T1^15*T2^10 + 29*T1^16*T2^10 - 60*T1^3*T2^11 - 120*T1^4*T2^11 + 
     1359*T1^5*T2^11 - 1648*T1^6*T2^11 - 5191*T1^7*T2^11 + 15708*T1^8*T2^11 - 
     8348*T1^9*T2^11 - 8348*T1^10*T2^11 + 15708*T1^11*T2^11 - 
     5191*T1^12*T2^11 - 1648*T1^13*T2^11 + 1359*T1^14*T2^11 - 
     120*T1^15*T2^11 - 60*T1^16*T2^11 + 75*T1^4*T2^12 - 120*T1^5*T2^12 - 
     851*T1^6*T2^12 + 3180*T1^7*T2^12 - 2568*T1^8*T2^12 - 5191*T1^9*T2^12 + 
     9392*T1^10*T2^12 - 5191*T1^11*T2^12 - 2568*T1^12*T2^12 + 
     3180*T1^13*T2^12 - 851*T1^14*T2^12 - 120*T1^15*T2^12 + 75*T1^16*T2^12 - 
     60*T1^5*T2^13 + 248*T1^6*T2^13 - 103*T1^7*T2^13 - 1358*T1^8*T2^13 + 
     3180*T1^9*T2^13 - 1648*T1^10*T2^13 - 1648*T1^11*T2^13 + 
     3180*T1^12*T2^13 - 1358*T1^13*T2^13 - 103*T1^14*T2^13 + 
     248*T1^15*T2^13 - 60*T1^16*T2^13 + 29*T1^6*T2^14 - 168*T1^7*T2^14 + 
     355*T1^8*T2^14 - 103*T1^9*T2^14 - 851*T1^10*T2^14 + 1359*T1^11*T2^14 - 
     851*T1^12*T2^14 - 103*T1^13*T2^14 + 355*T1^14*T2^14 - 168*T1^15*T2^14 + 
     29*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 168*T1^9*T2^15 + 
     248*T1^10*T2^15 - 120*T1^11*T2^15 - 120*T1^12*T2^15 + 248*T1^13*T2^15 - 
     168*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
     8*T1^9*T2^16 + 29*T1^10*T2^16 - 60*T1^11*T2^16 + 75*T1^12*T2^16 - 
     60*T1^13*T2^16 + 29*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, 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, 0}, 
 Knot[12, Alternating, 459] -> 
  {(3 - 21*T + 58*T^2 - 79*T^3 + 58*T^4 - 21*T^5 + 3*T^6)/T^3, 
   -((30 - 210*T1 + 580*T1^2 - 788*T1^3 + 580*T1^4 - 210*T1^5 + 30*T1^6 - 
      210*T2 + 1262*T1*T2 - 2598*T1^2*T2 + 1463*T1^3*T2 + 1463*T1^4*T2 - 
      2598*T1^5*T2 + 1262*T1^6*T2 - 210*T1^7*T2 + 580*T2^2 - 2598*T1*T2^2 + 
      1517*T1^2*T2^2 + 9189*T1^3*T2^2 - 16339*T1^4*T2^2 + 9189*T1^5*T2^2 + 
      1517*T1^6*T2^2 - 2598*T1^7*T2^2 + 580*T1^8*T2^2 - 788*T2^3 + 
      1463*T1*T2^3 + 9189*T1^2*T2^3 - 30482*T1^3*T2^3 + 18712*T1^4*T2^3 + 
      18712*T1^5*T2^3 - 30482*T1^6*T2^3 + 9189*T1^7*T2^3 + 1463*T1^8*T2^3 - 
      788*T1^9*T2^3 + 580*T2^4 + 1463*T1*T2^4 - 16339*T1^2*T2^4 + 
      18712*T1^3*T2^4 + 45554*T1^4*T2^4 - 90796*T1^5*T2^4 + 45554*T1^6*T2^4 + 
      18712*T1^7*T2^4 - 16339*T1^8*T2^4 + 1463*T1^9*T2^4 + 580*T1^10*T2^4 - 
      210*T2^5 - 2598*T1*T2^5 + 9189*T1^2*T2^5 + 18712*T1^3*T2^5 - 
      90796*T1^4*T2^5 + 58134*T1^5*T2^5 + 58134*T1^6*T2^5 - 90796*T1^7*T2^5 + 
      18712*T1^8*T2^5 + 9189*T1^9*T2^5 - 2598*T1^10*T2^5 - 210*T1^11*T2^5 + 
      30*T2^6 + 1262*T1*T2^6 + 1517*T1^2*T2^6 - 30482*T1^3*T2^6 + 
      45554*T1^4*T2^6 + 58134*T1^5*T2^6 - 134184*T1^6*T2^6 + 
      58134*T1^7*T2^6 + 45554*T1^8*T2^6 - 30482*T1^9*T2^6 + 1517*T1^10*T2^6 + 
      1262*T1^11*T2^6 + 30*T1^12*T2^6 - 210*T1*T2^7 - 2598*T1^2*T2^7 + 
      9189*T1^3*T2^7 + 18712*T1^4*T2^7 - 90796*T1^5*T2^7 + 58134*T1^6*T2^7 + 
      58134*T1^7*T2^7 - 90796*T1^8*T2^7 + 18712*T1^9*T2^7 + 9189*T1^10*T2^7 - 
      2598*T1^11*T2^7 - 210*T1^12*T2^7 + 580*T1^2*T2^8 + 1463*T1^3*T2^8 - 
      16339*T1^4*T2^8 + 18712*T1^5*T2^8 + 45554*T1^6*T2^8 - 90796*T1^7*T2^8 + 
      45554*T1^8*T2^8 + 18712*T1^9*T2^8 - 16339*T1^10*T2^8 + 
      1463*T1^11*T2^8 + 580*T1^12*T2^8 - 788*T1^3*T2^9 + 1463*T1^4*T2^9 + 
      9189*T1^5*T2^9 - 30482*T1^6*T2^9 + 18712*T1^7*T2^9 + 18712*T1^8*T2^9 - 
      30482*T1^9*T2^9 + 9189*T1^10*T2^9 + 1463*T1^11*T2^9 - 788*T1^12*T2^9 + 
      580*T1^4*T2^10 - 2598*T1^5*T2^10 + 1517*T1^6*T2^10 + 9189*T1^7*T2^10 - 
      16339*T1^8*T2^10 + 9189*T1^9*T2^10 + 1517*T1^10*T2^10 - 
      2598*T1^11*T2^10 + 580*T1^12*T2^10 - 210*T1^5*T2^11 + 1262*T1^6*T2^11 - 
      2598*T1^7*T2^11 + 1463*T1^8*T2^11 + 1463*T1^9*T2^11 - 
      2598*T1^10*T2^11 + 1262*T1^11*T2^11 - 210*T1^12*T2^11 + 30*T1^6*T2^12 - 
      210*T1^7*T2^12 + 580*T1^8*T2^12 - 788*T1^9*T2^12 + 580*T1^10*T2^12 - 
      210*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 460] -> 
  {-((2 - 17*T + 53*T^2 - 77*T^3 + 53*T^4 - 17*T^5 + 2*T^6)/T^3), 
   -((1 - 7*T1 + 20*T1^2 - 29*T1^3 + 20*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      40*T1*T2 - 83*T1^2*T2 + 57*T1^3*T2 + 57*T1^4*T2 - 83*T1^5*T2 + 
      40*T1^6*T2 - 7*T1^7*T2 + 20*T2^2 - 83*T1*T2^2 + 50*T1^2*T2^2 + 
      236*T1^3*T2^2 - 528*T1^4*T2^2 + 236*T1^5*T2^2 + 50*T1^6*T2^2 - 
      83*T1^7*T2^2 + 20*T1^8*T2^2 - 29*T2^3 + 57*T1*T2^3 + 236*T1^2*T2^3 - 
      696*T1^3*T2^3 + 561*T1^4*T2^3 + 561*T1^5*T2^3 - 696*T1^6*T2^3 + 
      236*T1^7*T2^3 + 57*T1^8*T2^3 - 29*T1^9*T2^3 + 20*T2^4 + 57*T1*T2^4 - 
      528*T1^2*T2^4 + 561*T1^3*T2^4 + 199*T1^4*T2^4 - 1103*T1^5*T2^4 + 
      199*T1^6*T2^4 + 561*T1^7*T2^4 - 528*T1^8*T2^4 + 57*T1^9*T2^4 + 
      20*T1^10*T2^4 - 7*T2^5 - 83*T1*T2^5 + 236*T1^2*T2^5 + 561*T1^3*T2^5 - 
      1103*T1^4*T2^5 + 702*T1^5*T2^5 + 702*T1^6*T2^5 - 1103*T1^7*T2^5 + 
      561*T1^8*T2^5 + 236*T1^9*T2^5 - 83*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      40*T1*T2^6 + 50*T1^2*T2^6 - 696*T1^3*T2^6 + 199*T1^4*T2^6 + 
      702*T1^5*T2^6 - 1224*T1^6*T2^6 + 702*T1^7*T2^6 + 199*T1^8*T2^6 - 
      696*T1^9*T2^6 + 50*T1^10*T2^6 + 40*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 83*T1^2*T2^7 + 236*T1^3*T2^7 + 561*T1^4*T2^7 - 
      1103*T1^5*T2^7 + 702*T1^6*T2^7 + 702*T1^7*T2^7 - 1103*T1^8*T2^7 + 
      561*T1^9*T2^7 + 236*T1^10*T2^7 - 83*T1^11*T2^7 - 7*T1^12*T2^7 + 
      20*T1^2*T2^8 + 57*T1^3*T2^8 - 528*T1^4*T2^8 + 561*T1^5*T2^8 + 
      199*T1^6*T2^8 - 1103*T1^7*T2^8 + 199*T1^8*T2^8 + 561*T1^9*T2^8 - 
      528*T1^10*T2^8 + 57*T1^11*T2^8 + 20*T1^12*T2^8 - 29*T1^3*T2^9 + 
      57*T1^4*T2^9 + 236*T1^5*T2^9 - 696*T1^6*T2^9 + 561*T1^7*T2^9 + 
      561*T1^8*T2^9 - 696*T1^9*T2^9 + 236*T1^10*T2^9 + 57*T1^11*T2^9 - 
      29*T1^12*T2^9 + 20*T1^4*T2^10 - 83*T1^5*T2^10 + 50*T1^6*T2^10 + 
      236*T1^7*T2^10 - 528*T1^8*T2^10 + 236*T1^9*T2^10 + 50*T1^10*T2^10 - 
      83*T1^11*T2^10 + 20*T1^12*T2^10 - 7*T1^5*T2^11 + 40*T1^6*T2^11 - 
      83*T1^7*T2^11 + 57*T1^8*T2^11 + 57*T1^9*T2^11 - 83*T1^10*T2^11 + 
      40*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      20*T1^8*T2^12 - 29*T1^9*T2^12 + 20*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 461] -> 
  {-((5 - 25*T + 53*T^2 - 67*T^3 + 53*T^4 - 25*T^5 + 5*T^6)/T^3), 
   -((270 - 1330*T1 + 2772*T1^2 - 3486*T1^3 + 2772*T1^4 - 1330*T1^5 + 
      270*T1^6 - 1330*T2 + 5246*T1*T2 - 7177*T1^2*T2 + 3561*T1^3*T2 + 
      3561*T1^4*T2 - 7177*T1^5*T2 + 5246*T1^6*T2 - 1330*T1^7*T2 + 2772*T2^2 - 
      7177*T1*T2^2 - 995*T1^2*T2^2 + 18413*T1^3*T2^2 - 28667*T1^4*T2^2 + 
      18413*T1^5*T2^2 - 995*T1^6*T2^2 - 7177*T1^7*T2^2 + 2772*T1^8*T2^2 - 
      3486*T2^3 + 3561*T1*T2^3 + 18413*T1^2*T2^3 - 33726*T1^3*T2^3 + 
      18843*T1^4*T2^3 + 18843*T1^5*T2^3 - 33726*T1^6*T2^3 + 18413*T1^7*T2^3 + 
      3561*T1^8*T2^3 - 3486*T1^9*T2^3 + 2772*T2^4 + 3561*T1*T2^4 - 
      28667*T1^2*T2^4 + 18843*T1^3*T2^4 + 21734*T1^4*T2^4 - 50376*T1^5*T2^4 + 
      21734*T1^6*T2^4 + 18843*T1^7*T2^4 - 28667*T1^8*T2^4 + 3561*T1^9*T2^4 + 
      2772*T1^10*T2^4 - 1330*T2^5 - 7177*T1*T2^5 + 18413*T1^2*T2^5 + 
      18843*T1^3*T2^5 - 50376*T1^4*T2^5 + 31702*T1^5*T2^5 + 31702*T1^6*T2^5 - 
      50376*T1^7*T2^5 + 18843*T1^8*T2^5 + 18413*T1^9*T2^5 - 7177*T1^10*T2^5 - 
      1330*T1^11*T2^5 + 270*T2^6 + 5246*T1*T2^6 - 995*T1^2*T2^6 - 
      33726*T1^3*T2^6 + 21734*T1^4*T2^6 + 31702*T1^5*T2^6 - 71196*T1^6*T2^6 + 
      31702*T1^7*T2^6 + 21734*T1^8*T2^6 - 33726*T1^9*T2^6 - 995*T1^10*T2^6 + 
      5246*T1^11*T2^6 + 270*T1^12*T2^6 - 1330*T1*T2^7 - 7177*T1^2*T2^7 + 
      18413*T1^3*T2^7 + 18843*T1^4*T2^7 - 50376*T1^5*T2^7 + 31702*T1^6*T2^7 + 
      31702*T1^7*T2^7 - 50376*T1^8*T2^7 + 18843*T1^9*T2^7 + 
      18413*T1^10*T2^7 - 7177*T1^11*T2^7 - 1330*T1^12*T2^7 + 2772*T1^2*T2^8 + 
      3561*T1^3*T2^8 - 28667*T1^4*T2^8 + 18843*T1^5*T2^8 + 21734*T1^6*T2^8 - 
      50376*T1^7*T2^8 + 21734*T1^8*T2^8 + 18843*T1^9*T2^8 - 
      28667*T1^10*T2^8 + 3561*T1^11*T2^8 + 2772*T1^12*T2^8 - 3486*T1^3*T2^9 + 
      3561*T1^4*T2^9 + 18413*T1^5*T2^9 - 33726*T1^6*T2^9 + 18843*T1^7*T2^9 + 
      18843*T1^8*T2^9 - 33726*T1^9*T2^9 + 18413*T1^10*T2^9 + 
      3561*T1^11*T2^9 - 3486*T1^12*T2^9 + 2772*T1^4*T2^10 - 7177*T1^5*T2^10 - 
      995*T1^6*T2^10 + 18413*T1^7*T2^10 - 28667*T1^8*T2^10 + 
      18413*T1^9*T2^10 - 995*T1^10*T2^10 - 7177*T1^11*T2^10 + 
      2772*T1^12*T2^10 - 1330*T1^5*T2^11 + 5246*T1^6*T2^11 - 
      7177*T1^7*T2^11 + 3561*T1^8*T2^11 + 3561*T1^9*T2^11 - 
      7177*T1^10*T2^11 + 5246*T1^11*T2^11 - 1330*T1^12*T2^11 + 
      270*T1^6*T2^12 - 1330*T1^7*T2^12 + 2772*T1^8*T2^12 - 3486*T1^9*T2^12 + 
      2772*T1^10*T2^12 - 1330*T1^11*T2^12 + 270*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   0}, Knot[12, Alternating, 463] -> 
  {(2 - 12*T + 26*T^2 - 31*T^3 + 26*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (7 - 41*T1 + 88*T1^2 - 105*T1^3 + 88*T1^4 - 41*T1^5 + 7*T1^6 - 41*T2 + 
     198*T1*T2 - 273*T1^2*T2 + 99*T1^3*T2 + 99*T1^4*T2 - 273*T1^5*T2 + 
     198*T1^6*T2 - 41*T1^7*T2 + 88*T2^2 - 273*T1*T2^2 - 198*T1^2*T2^2 + 
     1148*T1^3*T2^2 - 1370*T1^4*T2^2 + 1148*T1^5*T2^2 - 198*T1^6*T2^2 - 
     273*T1^7*T2^2 + 88*T1^8*T2^2 - 105*T2^3 + 99*T1*T2^3 + 1148*T1^2*T2^3 - 
     2044*T1^3*T2^3 + 696*T1^4*T2^3 + 696*T1^5*T2^3 - 2044*T1^6*T2^3 + 
     1148*T1^7*T2^3 + 99*T1^8*T2^3 - 105*T1^9*T2^3 + 88*T2^4 + 99*T1*T2^4 - 
     1370*T1^2*T2^4 + 696*T1^3*T2^4 + 2679*T1^4*T2^4 - 3727*T1^5*T2^4 + 
     2679*T1^6*T2^4 + 696*T1^7*T2^4 - 1370*T1^8*T2^4 + 99*T1^9*T2^4 + 
     88*T1^10*T2^4 - 41*T2^5 - 273*T1*T2^5 + 1148*T1^2*T2^5 + 696*T1^3*T2^5 - 
     3727*T1^4*T2^5 + 1828*T1^5*T2^5 + 1828*T1^6*T2^5 - 3727*T1^7*T2^5 + 
     696*T1^8*T2^5 + 1148*T1^9*T2^5 - 273*T1^10*T2^5 - 41*T1^11*T2^5 + 
     7*T2^6 + 198*T1*T2^6 - 198*T1^2*T2^6 - 2044*T1^3*T2^6 + 2679*T1^4*T2^6 + 
     1828*T1^5*T2^6 - 4212*T1^6*T2^6 + 1828*T1^7*T2^6 + 2679*T1^8*T2^6 - 
     2044*T1^9*T2^6 - 198*T1^10*T2^6 + 198*T1^11*T2^6 + 7*T1^12*T2^6 - 
     41*T1*T2^7 - 273*T1^2*T2^7 + 1148*T1^3*T2^7 + 696*T1^4*T2^7 - 
     3727*T1^5*T2^7 + 1828*T1^6*T2^7 + 1828*T1^7*T2^7 - 3727*T1^8*T2^7 + 
     696*T1^9*T2^7 + 1148*T1^10*T2^7 - 273*T1^11*T2^7 - 41*T1^12*T2^7 + 
     88*T1^2*T2^8 + 99*T1^3*T2^8 - 1370*T1^4*T2^8 + 696*T1^5*T2^8 + 
     2679*T1^6*T2^8 - 3727*T1^7*T2^8 + 2679*T1^8*T2^8 + 696*T1^9*T2^8 - 
     1370*T1^10*T2^8 + 99*T1^11*T2^8 + 88*T1^12*T2^8 - 105*T1^3*T2^9 + 
     99*T1^4*T2^9 + 1148*T1^5*T2^9 - 2044*T1^6*T2^9 + 696*T1^7*T2^9 + 
     696*T1^8*T2^9 - 2044*T1^9*T2^9 + 1148*T1^10*T2^9 + 99*T1^11*T2^9 - 
     105*T1^12*T2^9 + 88*T1^4*T2^10 - 273*T1^5*T2^10 - 198*T1^6*T2^10 + 
     1148*T1^7*T2^10 - 1370*T1^8*T2^10 + 1148*T1^9*T2^10 - 198*T1^10*T2^10 - 
     273*T1^11*T2^10 + 88*T1^12*T2^10 - 41*T1^5*T2^11 + 198*T1^6*T2^11 - 
     273*T1^7*T2^11 + 99*T1^8*T2^11 + 99*T1^9*T2^11 - 273*T1^10*T2^11 + 
     198*T1^11*T2^11 - 41*T1^12*T2^11 + 7*T1^6*T2^12 - 41*T1^7*T2^12 + 
     88*T1^8*T2^12 - 105*T1^9*T2^12 + 88*T1^10*T2^12 - 41*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   -((1 - T1 + 2*T1^2 + T1^3 + 2*T1^4 - T1^5 + T1^6 - T2 - 14*T1*T2 + 
      16*T1^2*T2 - 27*T1^3*T2 - 27*T1^4*T2 + 16*T1^5*T2 - 14*T1^6*T2 - 
      T1^7*T2 + 2*T2^2 + 16*T1*T2^2 + 68*T1^2*T2^2 - 116*T1^3*T2^2 + 
      328*T1^4*T2^2 - 116*T1^5*T2^2 + 68*T1^6*T2^2 + 16*T1^7*T2^2 + 
      2*T1^8*T2^2 + T2^3 - 27*T1*T2^3 - 116*T1^2*T2^3 + 82*T1^3*T2^3 - 
      381*T1^4*T2^3 - 381*T1^5*T2^3 + 82*T1^6*T2^3 - 116*T1^7*T2^3 - 
      27*T1^8*T2^3 + T1^9*T2^3 + 2*T2^4 - 27*T1*T2^4 + 328*T1^2*T2^4 - 
      381*T1^3*T2^4 + 779*T1^4*T2^4 + 607*T1^5*T2^4 + 779*T1^6*T2^4 - 
      381*T1^7*T2^4 + 328*T1^8*T2^4 - 27*T1^9*T2^4 + 2*T1^10*T2^4 - T2^5 + 
      16*T1*T2^5 - 116*T1^2*T2^5 - 381*T1^3*T2^5 + 607*T1^4*T2^5 - 
      1758*T1^5*T2^5 - 1758*T1^6*T2^5 + 607*T1^7*T2^5 - 381*T1^8*T2^5 - 
      116*T1^9*T2^5 + 16*T1^10*T2^5 - T1^11*T2^5 + T2^6 - 14*T1*T2^6 + 
      68*T1^2*T2^6 + 82*T1^3*T2^6 + 779*T1^4*T2^6 - 1758*T1^5*T2^6 + 
      5520*T1^6*T2^6 - 1758*T1^7*T2^6 + 779*T1^8*T2^6 + 82*T1^9*T2^6 + 
      68*T1^10*T2^6 - 14*T1^11*T2^6 + T1^12*T2^6 - T1*T2^7 + 16*T1^2*T2^7 - 
      116*T1^3*T2^7 - 381*T1^4*T2^7 + 607*T1^5*T2^7 - 1758*T1^6*T2^7 - 
      1758*T1^7*T2^7 + 607*T1^8*T2^7 - 381*T1^9*T2^7 - 116*T1^10*T2^7 + 
      16*T1^11*T2^7 - T1^12*T2^7 + 2*T1^2*T2^8 - 27*T1^3*T2^8 + 
      328*T1^4*T2^8 - 381*T1^5*T2^8 + 779*T1^6*T2^8 + 607*T1^7*T2^8 + 
      779*T1^8*T2^8 - 381*T1^9*T2^8 + 328*T1^10*T2^8 - 27*T1^11*T2^8 + 
      2*T1^12*T2^8 + T1^3*T2^9 - 27*T1^4*T2^9 - 116*T1^5*T2^9 + 
      82*T1^6*T2^9 - 381*T1^7*T2^9 - 381*T1^8*T2^9 + 82*T1^9*T2^9 - 
      116*T1^10*T2^9 - 27*T1^11*T2^9 + T1^12*T2^9 + 2*T1^4*T2^10 + 
      16*T1^5*T2^10 + 68*T1^6*T2^10 - 116*T1^7*T2^10 + 328*T1^8*T2^10 - 
      116*T1^9*T2^10 + 68*T1^10*T2^10 + 16*T1^11*T2^10 + 2*T1^12*T2^10 - 
      T1^5*T2^11 - 14*T1^6*T2^11 + 16*T1^7*T2^11 - 27*T1^8*T2^11 - 
      27*T1^9*T2^11 + 16*T1^10*T2^11 - 14*T1^11*T2^11 - T1^12*T2^11 + 
      T1^6*T2^12 - T1^7*T2^12 + 2*T1^8*T2^12 + T1^9*T2^12 + 2*T1^10*T2^12 - 
      T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   0}, 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 + 56*T1*T2 - 144*T1^2*T2 + 144*T1^3*T2 - 56*T1^4*T2 - 
      56*T1^5*T2 + 144*T1^6*T2 - 144*T1^7*T2 + 56*T1^8*T2 - 8*T1^9*T2 + 
      26*T2^2 - 144*T1*T2^2 + 189*T1^2*T2^2 + 317*T1^3*T2^2 - 828*T1^4*T2^2 + 
      995*T1^5*T2^2 - 828*T1^6*T2^2 + 317*T1^7*T2^2 + 189*T1^8*T2^2 - 
      144*T1^9*T2^2 + 26*T1^10*T2^2 - 44*T2^3 + 144*T1*T2^3 + 317*T1^2*T2^3 - 
      1864*T1^3*T2^3 + 1889*T1^4*T2^3 - 685*T1^5*T2^3 - 685*T1^6*T2^3 + 
      1889*T1^7*T2^3 - 1864*T1^8*T2^3 + 317*T1^9*T2^3 + 144*T1^10*T2^3 - 
      44*T1^11*T2^3 + 51*T2^4 - 56*T1*T2^4 - 828*T1^2*T2^4 + 1889*T1^3*T2^4 + 
      1799*T1^4*T2^4 - 5314*T1^5*T2^4 + 6279*T1^6*T2^4 - 5314*T1^7*T2^4 + 
      1799*T1^8*T2^4 + 1889*T1^9*T2^4 - 828*T1^10*T2^4 - 56*T1^11*T2^4 + 
      51*T1^12*T2^4 - 44*T2^5 - 56*T1*T2^5 + 995*T1^2*T2^5 - 685*T1^3*T2^5 - 
      5314*T1^4*T2^5 + 5612*T1^5*T2^5 - 1883*T1^6*T2^5 - 1883*T1^7*T2^5 + 
      5612*T1^8*T2^5 - 5314*T1^9*T2^5 - 685*T1^10*T2^5 + 995*T1^11*T2^5 - 
      56*T1^12*T2^5 - 44*T1^13*T2^5 + 26*T2^6 + 144*T1*T2^6 - 828*T1^2*T2^6 - 
      685*T1^3*T2^6 + 6279*T1^4*T2^6 - 1883*T1^5*T2^6 - 2478*T1^6*T2^6 + 
      3160*T1^7*T2^6 - 2478*T1^8*T2^6 - 1883*T1^9*T2^6 + 6279*T1^10*T2^6 - 
      685*T1^11*T2^6 - 828*T1^12*T2^6 + 144*T1^13*T2^6 + 26*T1^14*T2^6 - 
      8*T2^7 - 144*T1*T2^7 + 317*T1^2*T2^7 + 1889*T1^3*T2^7 - 
      5314*T1^4*T2^7 - 1883*T1^5*T2^7 + 3160*T1^6*T2^7 - 780*T1^7*T2^7 - 
      780*T1^8*T2^7 + 3160*T1^9*T2^7 - 1883*T1^10*T2^7 - 5314*T1^11*T2^7 + 
      1889*T1^12*T2^7 + 317*T1^13*T2^7 - 144*T1^14*T2^7 - 8*T1^15*T2^7 + 
      T2^8 + 56*T1*T2^8 + 189*T1^2*T2^8 - 1864*T1^3*T2^8 + 1799*T1^4*T2^8 + 
      5612*T1^5*T2^8 - 2478*T1^6*T2^8 - 780*T1^7*T2^8 + 912*T1^8*T2^8 - 
      780*T1^9*T2^8 - 2478*T1^10*T2^8 + 5612*T1^11*T2^8 + 1799*T1^12*T2^8 - 
      1864*T1^13*T2^8 + 189*T1^14*T2^8 + 56*T1^15*T2^8 + T1^16*T2^8 - 
      8*T1*T2^9 - 144*T1^2*T2^9 + 317*T1^3*T2^9 + 1889*T1^4*T2^9 - 
      5314*T1^5*T2^9 - 1883*T1^6*T2^9 + 3160*T1^7*T2^9 - 780*T1^8*T2^9 - 
      780*T1^9*T2^9 + 3160*T1^10*T2^9 - 1883*T1^11*T2^9 - 5314*T1^12*T2^9 + 
      1889*T1^13*T2^9 + 317*T1^14*T2^9 - 144*T1^15*T2^9 - 8*T1^16*T2^9 + 
      26*T1^2*T2^10 + 144*T1^3*T2^10 - 828*T1^4*T2^10 - 685*T1^5*T2^10 + 
      6279*T1^6*T2^10 - 1883*T1^7*T2^10 - 2478*T1^8*T2^10 + 3160*T1^9*T2^10 - 
      2478*T1^10*T2^10 - 1883*T1^11*T2^10 + 6279*T1^12*T2^10 - 
      685*T1^13*T2^10 - 828*T1^14*T2^10 + 144*T1^15*T2^10 + 26*T1^16*T2^10 - 
      44*T1^3*T2^11 - 56*T1^4*T2^11 + 995*T1^5*T2^11 - 685*T1^6*T2^11 - 
      5314*T1^7*T2^11 + 5612*T1^8*T2^11 - 1883*T1^9*T2^11 - 
      1883*T1^10*T2^11 + 5612*T1^11*T2^11 - 5314*T1^12*T2^11 - 
      685*T1^13*T2^11 + 995*T1^14*T2^11 - 56*T1^15*T2^11 - 44*T1^16*T2^11 + 
      51*T1^4*T2^12 - 56*T1^5*T2^12 - 828*T1^6*T2^12 + 1889*T1^7*T2^12 + 
      1799*T1^8*T2^12 - 5314*T1^9*T2^12 + 6279*T1^10*T2^12 - 
      5314*T1^11*T2^12 + 1799*T1^12*T2^12 + 1889*T1^13*T2^12 - 
      828*T1^14*T2^12 - 56*T1^15*T2^12 + 51*T1^16*T2^12 - 44*T1^5*T2^13 + 
      144*T1^6*T2^13 + 317*T1^7*T2^13 - 1864*T1^8*T2^13 + 1889*T1^9*T2^13 - 
      685*T1^10*T2^13 - 685*T1^11*T2^13 + 1889*T1^12*T2^13 - 
      1864*T1^13*T2^13 + 317*T1^14*T2^13 + 144*T1^15*T2^13 - 44*T1^16*T2^13 + 
      26*T1^6*T2^14 - 144*T1^7*T2^14 + 189*T1^8*T2^14 + 317*T1^9*T2^14 - 
      828*T1^10*T2^14 + 995*T1^11*T2^14 - 828*T1^12*T2^14 + 317*T1^13*T2^14 + 
      189*T1^14*T2^14 - 144*T1^15*T2^14 + 26*T1^16*T2^14 - 8*T1^7*T2^15 + 
      56*T1^8*T2^15 - 144*T1^9*T2^15 + 144*T1^10*T2^15 - 56*T1^11*T2^15 - 
      56*T1^12*T2^15 + 144*T1^13*T2^15 - 144*T1^14*T2^15 + 56*T1^15*T2^15 - 
      8*T1^16*T2^15 + T1^8*T2^16 - 8*T1^9*T2^16 + 26*T1^10*T2^16 - 
      44*T1^11*T2^16 + 51*T1^12*T2^16 - 44*T1^13*T2^16 + 26*T1^14*T2^16 - 
      8*T1^15*T2^16 + T1^16*T2^16))/(T1^8*T2^8)}, 
 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), (1 - 8*T1 + 29*T1^2 - 60*T1^3 + 75*T1^4 - 60*T1^5 + 29*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 168*T1^2*T2 + 248*T1^3*T2 - 
     120*T1^4*T2 - 120*T1^5*T2 + 248*T1^6*T2 - 168*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 29*T2^2 - 168*T1*T2^2 + 357*T1^2*T2^2 - 102*T1^3*T2^2 - 
     876*T1^4*T2^2 + 1395*T1^5*T2^2 - 876*T1^6*T2^2 - 102*T1^7*T2^2 + 
     357*T1^8*T2^2 - 168*T1^9*T2^2 + 29*T1^10*T2^2 - 60*T2^3 + 248*T1*T2^3 - 
     102*T1^2*T2^3 - 1442*T1^3*T2^3 + 3437*T1^4*T2^3 - 1776*T1^5*T2^3 - 
     1776*T1^6*T2^3 + 3437*T1^7*T2^3 - 1442*T1^8*T2^3 - 102*T1^9*T2^3 + 
     248*T1^10*T2^3 - 60*T1^11*T2^3 + 75*T2^4 - 120*T1*T2^4 - 876*T1^2*T2^4 + 
     3437*T1^3*T2^4 - 2774*T1^4*T2^4 - 6407*T1^5*T2^4 + 11296*T1^6*T2^4 - 
     6407*T1^7*T2^4 - 2774*T1^8*T2^4 + 3437*T1^9*T2^4 - 876*T1^10*T2^4 - 
     120*T1^11*T2^4 + 75*T1^12*T2^4 - 60*T2^5 - 120*T1*T2^5 + 
     1395*T1^2*T2^5 - 1776*T1^3*T2^5 - 6407*T1^4*T2^5 + 19782*T1^5*T2^5 - 
     10370*T1^6*T2^5 - 10370*T1^7*T2^5 + 19782*T1^8*T2^5 - 6407*T1^9*T2^5 - 
     1776*T1^10*T2^5 + 1395*T1^11*T2^5 - 120*T1^12*T2^5 - 60*T1^13*T2^5 + 
     29*T2^6 + 248*T1*T2^6 - 876*T1^2*T2^6 - 1776*T1^3*T2^6 + 
     11296*T1^4*T2^6 - 10370*T1^5*T2^6 - 24246*T1^6*T2^6 + 42568*T1^7*T2^6 - 
     24246*T1^8*T2^6 - 10370*T1^9*T2^6 + 11296*T1^10*T2^6 - 1776*T1^11*T2^6 - 
     876*T1^12*T2^6 + 248*T1^13*T2^6 + 29*T1^14*T2^6 - 8*T2^7 - 168*T1*T2^7 - 
     102*T1^2*T2^7 + 3437*T1^3*T2^7 - 6407*T1^4*T2^7 - 10370*T1^5*T2^7 + 
     42568*T1^6*T2^7 - 22764*T1^7*T2^7 - 22764*T1^8*T2^7 + 42568*T1^9*T2^7 - 
     10370*T1^10*T2^7 - 6407*T1^11*T2^7 + 3437*T1^12*T2^7 - 102*T1^13*T2^7 - 
     168*T1^14*T2^7 - 8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 357*T1^2*T2^8 - 
     1442*T1^3*T2^8 - 2774*T1^4*T2^8 + 19782*T1^5*T2^8 - 24246*T1^6*T2^8 - 
     22764*T1^7*T2^8 + 48252*T1^8*T2^8 - 22764*T1^9*T2^8 - 24246*T1^10*T2^8 + 
     19782*T1^11*T2^8 - 2774*T1^12*T2^8 - 1442*T1^13*T2^8 + 357*T1^14*T2^8 + 
     56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 168*T1^2*T2^9 - 102*T1^3*T2^9 + 
     3437*T1^4*T2^9 - 6407*T1^5*T2^9 - 10370*T1^6*T2^9 + 42568*T1^7*T2^9 - 
     22764*T1^8*T2^9 - 22764*T1^9*T2^9 + 42568*T1^10*T2^9 - 
     10370*T1^11*T2^9 - 6407*T1^12*T2^9 + 3437*T1^13*T2^9 - 102*T1^14*T2^9 - 
     168*T1^15*T2^9 - 8*T1^16*T2^9 + 29*T1^2*T2^10 + 248*T1^3*T2^10 - 
     876*T1^4*T2^10 - 1776*T1^5*T2^10 + 11296*T1^6*T2^10 - 10370*T1^7*T2^10 - 
     24246*T1^8*T2^10 + 42568*T1^9*T2^10 - 24246*T1^10*T2^10 - 
     10370*T1^11*T2^10 + 11296*T1^12*T2^10 - 1776*T1^13*T2^10 - 
     876*T1^14*T2^10 + 248*T1^15*T2^10 + 29*T1^16*T2^10 - 60*T1^3*T2^11 - 
     120*T1^4*T2^11 + 1395*T1^5*T2^11 - 1776*T1^6*T2^11 - 6407*T1^7*T2^11 + 
     19782*T1^8*T2^11 - 10370*T1^9*T2^11 - 10370*T1^10*T2^11 + 
     19782*T1^11*T2^11 - 6407*T1^12*T2^11 - 1776*T1^13*T2^11 + 
     1395*T1^14*T2^11 - 120*T1^15*T2^11 - 60*T1^16*T2^11 + 75*T1^4*T2^12 - 
     120*T1^5*T2^12 - 876*T1^6*T2^12 + 3437*T1^7*T2^12 - 2774*T1^8*T2^12 - 
     6407*T1^9*T2^12 + 11296*T1^10*T2^12 - 6407*T1^11*T2^12 - 
     2774*T1^12*T2^12 + 3437*T1^13*T2^12 - 876*T1^14*T2^12 - 
     120*T1^15*T2^12 + 75*T1^16*T2^12 - 60*T1^5*T2^13 + 248*T1^6*T2^13 - 
     102*T1^7*T2^13 - 1442*T1^8*T2^13 + 3437*T1^9*T2^13 - 1776*T1^10*T2^13 - 
     1776*T1^11*T2^13 + 3437*T1^12*T2^13 - 1442*T1^13*T2^13 - 
     102*T1^14*T2^13 + 248*T1^15*T2^13 - 60*T1^16*T2^13 + 29*T1^6*T2^14 - 
     168*T1^7*T2^14 + 357*T1^8*T2^14 - 102*T1^9*T2^14 - 876*T1^10*T2^14 + 
     1395*T1^11*T2^14 - 876*T1^12*T2^14 - 102*T1^13*T2^14 + 357*T1^14*T2^14 - 
     168*T1^15*T2^14 + 29*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 
     168*T1^9*T2^15 + 248*T1^10*T2^15 - 120*T1^11*T2^15 - 120*T1^12*T2^15 + 
     248*T1^13*T2^15 - 168*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + 
     T1^8*T2^16 - 8*T1^9*T2^16 + 29*T1^10*T2^16 - 60*T1^11*T2^16 + 
     75*T1^12*T2^16 - 60*T1^13*T2^16 + 29*T1^14*T2^16 - 8*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, 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), (1 - 8*T1 + 23*T1^2 - 40*T1^3 + 47*T1^4 - 40*T1^5 + 23*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 119*T1^2*T2 + 133*T1^3*T2 - 
     54*T1^4*T2 - 54*T1^5*T2 + 133*T1^6*T2 - 119*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 23*T2^2 - 119*T1*T2^2 + 35*T1^2*T2^2 + 373*T1^3*T2^2 - 
     932*T1^4*T2^2 + 1133*T1^5*T2^2 - 932*T1^6*T2^2 + 373*T1^7*T2^2 + 
     35*T1^8*T2^2 - 119*T1^9*T2^2 + 23*T1^10*T2^2 - 40*T2^3 + 133*T1*T2^3 + 
     373*T1^2*T2^3 - 1216*T1^3*T2^3 + 1563*T1^4*T2^3 - 607*T1^5*T2^3 - 
     607*T1^6*T2^3 + 1563*T1^7*T2^3 - 1216*T1^8*T2^3 + 373*T1^9*T2^3 + 
     133*T1^10*T2^3 - 40*T1^11*T2^3 + 47*T2^4 - 54*T1*T2^4 - 932*T1^2*T2^4 + 
     1563*T1^3*T2^4 - 689*T1^4*T2^4 - 1662*T1^5*T2^4 + 2399*T1^6*T2^4 - 
     1662*T1^7*T2^4 - 689*T1^8*T2^4 + 1563*T1^9*T2^4 - 932*T1^10*T2^4 - 
     54*T1^11*T2^4 + 47*T1^12*T2^4 - 40*T2^5 - 54*T1*T2^5 + 1133*T1^2*T2^5 - 
     607*T1^3*T2^5 - 1662*T1^4*T2^5 + 3734*T1^5*T2^5 - 1528*T1^6*T2^5 - 
     1528*T1^7*T2^5 + 3734*T1^8*T2^5 - 1662*T1^9*T2^5 - 607*T1^10*T2^5 + 
     1133*T1^11*T2^5 - 54*T1^12*T2^5 - 40*T1^13*T2^5 + 23*T2^6 + 
     133*T1*T2^6 - 932*T1^2*T2^6 - 607*T1^3*T2^6 + 2399*T1^4*T2^6 - 
     1528*T1^5*T2^6 - 3762*T1^6*T2^6 + 5744*T1^7*T2^6 - 3762*T1^8*T2^6 - 
     1528*T1^9*T2^6 + 2399*T1^10*T2^6 - 607*T1^11*T2^6 - 932*T1^12*T2^6 + 
     133*T1^13*T2^6 + 23*T1^14*T2^6 - 8*T2^7 - 119*T1*T2^7 + 373*T1^2*T2^7 + 
     1563*T1^3*T2^7 - 1662*T1^4*T2^7 - 1528*T1^5*T2^7 + 5744*T1^6*T2^7 - 
     2688*T1^7*T2^7 - 2688*T1^8*T2^7 + 5744*T1^9*T2^7 - 1528*T1^10*T2^7 - 
     1662*T1^11*T2^7 + 1563*T1^12*T2^7 + 373*T1^13*T2^7 - 119*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 35*T1^2*T2^8 - 1216*T1^3*T2^8 - 
     689*T1^4*T2^8 + 3734*T1^5*T2^8 - 3762*T1^6*T2^8 - 2688*T1^7*T2^8 + 
     5532*T1^8*T2^8 - 2688*T1^9*T2^8 - 3762*T1^10*T2^8 + 3734*T1^11*T2^8 - 
     689*T1^12*T2^8 - 1216*T1^13*T2^8 + 35*T1^14*T2^8 + 56*T1^15*T2^8 + 
     T1^16*T2^8 - 8*T1*T2^9 - 119*T1^2*T2^9 + 373*T1^3*T2^9 + 
     1563*T1^4*T2^9 - 1662*T1^5*T2^9 - 1528*T1^6*T2^9 + 5744*T1^7*T2^9 - 
     2688*T1^8*T2^9 - 2688*T1^9*T2^9 + 5744*T1^10*T2^9 - 1528*T1^11*T2^9 - 
     1662*T1^12*T2^9 + 1563*T1^13*T2^9 + 373*T1^14*T2^9 - 119*T1^15*T2^9 - 
     8*T1^16*T2^9 + 23*T1^2*T2^10 + 133*T1^3*T2^10 - 932*T1^4*T2^10 - 
     607*T1^5*T2^10 + 2399*T1^6*T2^10 - 1528*T1^7*T2^10 - 3762*T1^8*T2^10 + 
     5744*T1^9*T2^10 - 3762*T1^10*T2^10 - 1528*T1^11*T2^10 + 
     2399*T1^12*T2^10 - 607*T1^13*T2^10 - 932*T1^14*T2^10 + 133*T1^15*T2^10 + 
     23*T1^16*T2^10 - 40*T1^3*T2^11 - 54*T1^4*T2^11 + 1133*T1^5*T2^11 - 
     607*T1^6*T2^11 - 1662*T1^7*T2^11 + 3734*T1^8*T2^11 - 1528*T1^9*T2^11 - 
     1528*T1^10*T2^11 + 3734*T1^11*T2^11 - 1662*T1^12*T2^11 - 
     607*T1^13*T2^11 + 1133*T1^14*T2^11 - 54*T1^15*T2^11 - 40*T1^16*T2^11 + 
     47*T1^4*T2^12 - 54*T1^5*T2^12 - 932*T1^6*T2^12 + 1563*T1^7*T2^12 - 
     689*T1^8*T2^12 - 1662*T1^9*T2^12 + 2399*T1^10*T2^12 - 1662*T1^11*T2^12 - 
     689*T1^12*T2^12 + 1563*T1^13*T2^12 - 932*T1^14*T2^12 - 54*T1^15*T2^12 + 
     47*T1^16*T2^12 - 40*T1^5*T2^13 + 133*T1^6*T2^13 + 373*T1^7*T2^13 - 
     1216*T1^8*T2^13 + 1563*T1^9*T2^13 - 607*T1^10*T2^13 - 607*T1^11*T2^13 + 
     1563*T1^12*T2^13 - 1216*T1^13*T2^13 + 373*T1^14*T2^13 + 
     133*T1^15*T2^13 - 40*T1^16*T2^13 + 23*T1^6*T2^14 - 119*T1^7*T2^14 + 
     35*T1^8*T2^14 + 373*T1^9*T2^14 - 932*T1^10*T2^14 + 1133*T1^11*T2^14 - 
     932*T1^12*T2^14 + 373*T1^13*T2^14 + 35*T1^14*T2^14 - 119*T1^15*T2^14 + 
     23*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 119*T1^9*T2^15 + 
     133*T1^10*T2^15 - 54*T1^11*T2^15 - 54*T1^12*T2^15 + 133*T1^13*T2^15 - 
     119*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
     8*T1^9*T2^16 + 23*T1^10*T2^16 - 40*T1^11*T2^16 + 47*T1^12*T2^16 - 
     40*T1^13*T2^16 + 23*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, 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, 
   (1 + T1 - 2*T1^2 + 5*T1^3 - 2*T1^4 + T1^5 + T1^6 + T2 - 32*T1*T2 + 
     39*T1^2*T2 - 34*T1^3*T2 - 34*T1^4*T2 + 39*T1^5*T2 - 32*T1^6*T2 + 
     T1^7*T2 - 2*T2^2 + 39*T1*T2^2 + 126*T1^2*T2^2 - 289*T1^3*T2^2 + 
     516*T1^4*T2^2 - 289*T1^5*T2^2 + 126*T1^6*T2^2 + 39*T1^7*T2^2 - 
     2*T1^8*T2^2 + 5*T2^3 - 34*T1*T2^3 - 289*T1^2*T2^3 + 242*T1^3*T2^3 - 
     348*T1^4*T2^3 - 348*T1^5*T2^3 + 242*T1^6*T2^3 - 289*T1^7*T2^3 - 
     34*T1^8*T2^3 + 5*T1^9*T2^3 - 2*T2^4 - 34*T1*T2^4 + 516*T1^2*T2^4 - 
     348*T1^3*T2^4 + 946*T1^4*T2^4 - 272*T1^5*T2^4 + 946*T1^6*T2^4 - 
     348*T1^7*T2^4 + 516*T1^8*T2^4 - 34*T1^9*T2^4 - 2*T1^10*T2^4 + T2^5 + 
     39*T1*T2^5 - 289*T1^2*T2^5 - 348*T1^3*T2^5 - 272*T1^4*T2^5 - 
     634*T1^5*T2^5 - 634*T1^6*T2^5 - 272*T1^7*T2^5 - 348*T1^8*T2^5 - 
     289*T1^9*T2^5 + 39*T1^10*T2^5 + T1^11*T2^5 + T2^6 - 32*T1*T2^6 + 
     126*T1^2*T2^6 + 242*T1^3*T2^6 + 946*T1^4*T2^6 - 634*T1^5*T2^6 + 
     2208*T1^6*T2^6 - 634*T1^7*T2^6 + 946*T1^8*T2^6 + 242*T1^9*T2^6 + 
     126*T1^10*T2^6 - 32*T1^11*T2^6 + T1^12*T2^6 + T1*T2^7 + 39*T1^2*T2^7 - 
     289*T1^3*T2^7 - 348*T1^4*T2^7 - 272*T1^5*T2^7 - 634*T1^6*T2^7 - 
     634*T1^7*T2^7 - 272*T1^8*T2^7 - 348*T1^9*T2^7 - 289*T1^10*T2^7 + 
     39*T1^11*T2^7 + T1^12*T2^7 - 2*T1^2*T2^8 - 34*T1^3*T2^8 + 
     516*T1^4*T2^8 - 348*T1^5*T2^8 + 946*T1^6*T2^8 - 272*T1^7*T2^8 + 
     946*T1^8*T2^8 - 348*T1^9*T2^8 + 516*T1^10*T2^8 - 34*T1^11*T2^8 - 
     2*T1^12*T2^8 + 5*T1^3*T2^9 - 34*T1^4*T2^9 - 289*T1^5*T2^9 + 
     242*T1^6*T2^9 - 348*T1^7*T2^9 - 348*T1^8*T2^9 + 242*T1^9*T2^9 - 
     289*T1^10*T2^9 - 34*T1^11*T2^9 + 5*T1^12*T2^9 - 2*T1^4*T2^10 + 
     39*T1^5*T2^10 + 126*T1^6*T2^10 - 289*T1^7*T2^10 + 516*T1^8*T2^10 - 
     289*T1^9*T2^10 + 126*T1^10*T2^10 + 39*T1^11*T2^10 - 2*T1^12*T2^10 + 
     T1^5*T2^11 - 32*T1^6*T2^11 + 39*T1^7*T2^11 - 34*T1^8*T2^11 - 
     34*T1^9*T2^11 + 39*T1^10*T2^11 - 32*T1^11*T2^11 + T1^12*T2^11 + 
     T1^6*T2^12 + T1^7*T2^12 - 2*T1^8*T2^12 + 5*T1^9*T2^12 - 2*T1^10*T2^12 + 
     T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 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), 
   -((1 - 8*T1 + 27*T1^2 - 54*T1^3 + 67*T1^4 - 54*T1^5 + 27*T1^6 - 8*T1^7 + 
      T1^8 - 8*T2 + 56*T1*T2 - 152*T1^2*T2 + 216*T1^3*T2 - 104*T1^4*T2 - 
      104*T1^5*T2 + 216*T1^6*T2 - 152*T1^7*T2 + 56*T1^8*T2 - 8*T1^9*T2 + 
      27*T2^2 - 152*T1*T2^2 + 245*T1^2*T2^2 + 49*T1^3*T2^2 - 905*T1^4*T2^2 + 
      1355*T1^5*T2^2 - 905*T1^6*T2^2 + 49*T1^7*T2^2 + 245*T1^8*T2^2 - 
      152*T1^9*T2^2 + 27*T1^10*T2^2 - 54*T2^3 + 216*T1*T2^3 + 49*T1^2*T2^3 - 
      1218*T1^3*T2^3 + 2602*T1^4*T2^3 - 1329*T1^5*T2^3 - 1329*T1^6*T2^3 + 
      2602*T1^7*T2^3 - 1218*T1^8*T2^3 + 49*T1^9*T2^3 + 216*T1^10*T2^3 - 
      54*T1^11*T2^3 + 67*T2^4 - 104*T1*T2^4 - 905*T1^2*T2^4 + 
      2602*T1^3*T2^4 - 2525*T1^4*T2^4 - 2803*T1^5*T2^4 + 5641*T1^6*T2^4 - 
      2803*T1^7*T2^4 - 2525*T1^8*T2^4 + 2602*T1^9*T2^4 - 905*T1^10*T2^4 - 
      104*T1^11*T2^4 + 67*T1^12*T2^4 - 54*T2^5 - 104*T1*T2^5 + 
      1355*T1^2*T2^5 - 1329*T1^3*T2^5 - 2803*T1^4*T2^5 + 10320*T1^5*T2^5 - 
      5383*T1^6*T2^5 - 5383*T1^7*T2^5 + 10320*T1^8*T2^5 - 2803*T1^9*T2^5 - 
      1329*T1^10*T2^5 + 1355*T1^11*T2^5 - 104*T1^12*T2^5 - 54*T1^13*T2^5 + 
      27*T2^6 + 216*T1*T2^6 - 905*T1^2*T2^6 - 1329*T1^3*T2^6 + 
      5641*T1^4*T2^6 - 5383*T1^5*T2^6 - 13043*T1^6*T2^6 + 22303*T1^7*T2^6 - 
      13043*T1^8*T2^6 - 5383*T1^9*T2^6 + 5641*T1^10*T2^6 - 1329*T1^11*T2^6 - 
      905*T1^12*T2^6 + 216*T1^13*T2^6 + 27*T1^14*T2^6 - 8*T2^7 - 
      152*T1*T2^7 + 49*T1^2*T2^7 + 2602*T1^3*T2^7 - 2803*T1^4*T2^7 - 
      5383*T1^5*T2^7 + 22303*T1^6*T2^7 - 11474*T1^7*T2^7 - 11474*T1^8*T2^7 + 
      22303*T1^9*T2^7 - 5383*T1^10*T2^7 - 2803*T1^11*T2^7 + 2602*T1^12*T2^7 + 
      49*T1^13*T2^7 - 152*T1^14*T2^7 - 8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 
      245*T1^2*T2^8 - 1218*T1^3*T2^8 - 2525*T1^4*T2^8 + 10320*T1^5*T2^8 - 
      13043*T1^6*T2^8 - 11474*T1^7*T2^8 + 23760*T1^8*T2^8 - 11474*T1^9*T2^8 - 
      13043*T1^10*T2^8 + 10320*T1^11*T2^8 - 2525*T1^12*T2^8 - 
      1218*T1^13*T2^8 + 245*T1^14*T2^8 + 56*T1^15*T2^8 + T1^16*T2^8 - 
      8*T1*T2^9 - 152*T1^2*T2^9 + 49*T1^3*T2^9 + 2602*T1^4*T2^9 - 
      2803*T1^5*T2^9 - 5383*T1^6*T2^9 + 22303*T1^7*T2^9 - 11474*T1^8*T2^9 - 
      11474*T1^9*T2^9 + 22303*T1^10*T2^9 - 5383*T1^11*T2^9 - 
      2803*T1^12*T2^9 + 2602*T1^13*T2^9 + 49*T1^14*T2^9 - 152*T1^15*T2^9 - 
      8*T1^16*T2^9 + 27*T1^2*T2^10 + 216*T1^3*T2^10 - 905*T1^4*T2^10 - 
      1329*T1^5*T2^10 + 5641*T1^6*T2^10 - 5383*T1^7*T2^10 - 
      13043*T1^8*T2^10 + 22303*T1^9*T2^10 - 13043*T1^10*T2^10 - 
      5383*T1^11*T2^10 + 5641*T1^12*T2^10 - 1329*T1^13*T2^10 - 
      905*T1^14*T2^10 + 216*T1^15*T2^10 + 27*T1^16*T2^10 - 54*T1^3*T2^11 - 
      104*T1^4*T2^11 + 1355*T1^5*T2^11 - 1329*T1^6*T2^11 - 2803*T1^7*T2^11 + 
      10320*T1^8*T2^11 - 5383*T1^9*T2^11 - 5383*T1^10*T2^11 + 
      10320*T1^11*T2^11 - 2803*T1^12*T2^11 - 1329*T1^13*T2^11 + 
      1355*T1^14*T2^11 - 104*T1^15*T2^11 - 54*T1^16*T2^11 + 67*T1^4*T2^12 - 
      104*T1^5*T2^12 - 905*T1^6*T2^12 + 2602*T1^7*T2^12 - 2525*T1^8*T2^12 - 
      2803*T1^9*T2^12 + 5641*T1^10*T2^12 - 2803*T1^11*T2^12 - 
      2525*T1^12*T2^12 + 2602*T1^13*T2^12 - 905*T1^14*T2^12 - 
      104*T1^15*T2^12 + 67*T1^16*T2^12 - 54*T1^5*T2^13 + 216*T1^6*T2^13 + 
      49*T1^7*T2^13 - 1218*T1^8*T2^13 + 2602*T1^9*T2^13 - 1329*T1^10*T2^13 - 
      1329*T1^11*T2^13 + 2602*T1^12*T2^13 - 1218*T1^13*T2^13 + 
      49*T1^14*T2^13 + 216*T1^15*T2^13 - 54*T1^16*T2^13 + 27*T1^6*T2^14 - 
      152*T1^7*T2^14 + 245*T1^8*T2^14 + 49*T1^9*T2^14 - 905*T1^10*T2^14 + 
      1355*T1^11*T2^14 - 905*T1^12*T2^14 + 49*T1^13*T2^14 + 245*T1^14*T2^14 - 
      152*T1^15*T2^14 + 27*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 
      152*T1^9*T2^15 + 216*T1^10*T2^15 - 104*T1^11*T2^15 - 104*T1^12*T2^15 + 
      216*T1^13*T2^15 - 152*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + 
      T1^8*T2^16 - 8*T1^9*T2^16 + 27*T1^10*T2^16 - 54*T1^11*T2^16 + 
      67*T1^12*T2^16 - 54*T1^13*T2^16 + 27*T1^14*T2^16 - 8*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 471] -> 
  {((1 - 3*T + T^2)*(4 - 9*T + 4*T^2))/T^2, 0}, 
 Knot[12, Alternating, 472] -> 
  {-((3 - 22*T + 56*T^2 - 75*T^3 + 56*T^4 - 22*T^5 + 3*T^6)/T^3), 
   (57 - 413*T1 + 1040*T1^2 - 1389*T1^3 + 1040*T1^4 - 413*T1^5 + 57*T1^6 - 
     413*T2 + 2580*T1*T2 - 4551*T1^2*T2 + 2534*T1^3*T2 + 2534*T1^4*T2 - 
     4551*T1^5*T2 + 2580*T1^6*T2 - 413*T1^7*T2 + 1040*T2^2 - 4551*T1*T2^2 - 
     1247*T1^2*T2^2 + 20530*T1^3*T2^2 - 33323*T1^4*T2^2 + 20530*T1^5*T2^2 - 
     1247*T1^6*T2^2 - 4551*T1^7*T2^2 + 1040*T1^8*T2^2 - 1389*T2^3 + 
     2534*T1*T2^3 + 20530*T1^2*T2^3 - 48194*T1^3*T2^3 + 29522*T1^4*T2^3 + 
     29522*T1^5*T2^3 - 48194*T1^6*T2^3 + 20530*T1^7*T2^3 + 2534*T1^8*T2^3 - 
     1389*T1^9*T2^3 + 1040*T2^4 + 2534*T1*T2^4 - 33323*T1^2*T2^4 + 
     29522*T1^3*T2^4 + 46944*T1^4*T2^4 - 106780*T1^5*T2^4 + 46944*T1^6*T2^4 + 
     29522*T1^7*T2^4 - 33323*T1^8*T2^4 + 2534*T1^9*T2^4 + 1040*T1^10*T2^4 - 
     413*T2^5 - 4551*T1*T2^5 + 20530*T1^2*T2^5 + 29522*T1^3*T2^5 - 
     106780*T1^4*T2^5 + 72206*T1^5*T2^5 + 72206*T1^6*T2^5 - 
     106780*T1^7*T2^5 + 29522*T1^8*T2^5 + 20530*T1^9*T2^5 - 4551*T1^10*T2^5 - 
     413*T1^11*T2^5 + 57*T2^6 + 2580*T1*T2^6 - 1247*T1^2*T2^6 - 
     48194*T1^3*T2^6 + 46944*T1^4*T2^6 + 72206*T1^5*T2^6 - 169068*T1^6*T2^6 + 
     72206*T1^7*T2^6 + 46944*T1^8*T2^6 - 48194*T1^9*T2^6 - 1247*T1^10*T2^6 + 
     2580*T1^11*T2^6 + 57*T1^12*T2^6 - 413*T1*T2^7 - 4551*T1^2*T2^7 + 
     20530*T1^3*T2^7 + 29522*T1^4*T2^7 - 106780*T1^5*T2^7 + 72206*T1^6*T2^7 + 
     72206*T1^7*T2^7 - 106780*T1^8*T2^7 + 29522*T1^9*T2^7 + 
     20530*T1^10*T2^7 - 4551*T1^11*T2^7 - 413*T1^12*T2^7 + 1040*T1^2*T2^8 + 
     2534*T1^3*T2^8 - 33323*T1^4*T2^8 + 29522*T1^5*T2^8 + 46944*T1^6*T2^8 - 
     106780*T1^7*T2^8 + 46944*T1^8*T2^8 + 29522*T1^9*T2^8 - 
     33323*T1^10*T2^8 + 2534*T1^11*T2^8 + 1040*T1^12*T2^8 - 1389*T1^3*T2^9 + 
     2534*T1^4*T2^9 + 20530*T1^5*T2^9 - 48194*T1^6*T2^9 + 29522*T1^7*T2^9 + 
     29522*T1^8*T2^9 - 48194*T1^9*T2^9 + 20530*T1^10*T2^9 + 2534*T1^11*T2^9 - 
     1389*T1^12*T2^9 + 1040*T1^4*T2^10 - 4551*T1^5*T2^10 - 1247*T1^6*T2^10 + 
     20530*T1^7*T2^10 - 33323*T1^8*T2^10 + 20530*T1^9*T2^10 - 
     1247*T1^10*T2^10 - 4551*T1^11*T2^10 + 1040*T1^12*T2^10 - 
     413*T1^5*T2^11 + 2580*T1^6*T2^11 - 4551*T1^7*T2^11 + 2534*T1^8*T2^11 + 
     2534*T1^9*T2^11 - 4551*T1^10*T2^11 + 2580*T1^11*T2^11 - 
     413*T1^12*T2^11 + 57*T1^6*T2^12 - 413*T1^7*T2^12 + 1040*T1^8*T2^12 - 
     1389*T1^9*T2^12 + 1040*T1^10*T2^12 - 413*T1^11*T2^12 + 57*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 473] -> 
  {(1 - 4*T + 7*T^2 - 4*T^3 + T^4)^2/T^4, 
   -((2 - 5*T1 + 5*T1^2 + 2*T1^3 + 5*T1^4 - 5*T1^5 + 2*T1^6 - 5*T2 - 
      18*T1*T2 + 74*T1^2*T2 - 87*T1^3*T2 - 87*T1^4*T2 + 74*T1^5*T2 - 
      18*T1^6*T2 - 5*T1^7*T2 + 5*T2^2 + 74*T1*T2^2 - 32*T1^2*T2^2 - 
      477*T1^3*T2^2 + 1268*T1^4*T2^2 - 477*T1^5*T2^2 - 32*T1^6*T2^2 + 
      74*T1^7*T2^2 + 5*T1^8*T2^2 + 2*T2^3 - 87*T1*T2^3 - 477*T1^2*T2^3 + 
      1822*T1^3*T2^3 - 1968*T1^4*T2^3 - 1968*T1^5*T2^3 + 1822*T1^6*T2^3 - 
      477*T1^7*T2^3 - 87*T1^8*T2^3 + 2*T1^9*T2^3 + 5*T2^4 - 87*T1*T2^4 + 
      1268*T1^2*T2^4 - 1968*T1^3*T2^4 - 1554*T1^4*T2^4 + 7984*T1^5*T2^4 - 
      1554*T1^6*T2^4 - 1968*T1^7*T2^4 + 1268*T1^8*T2^4 - 87*T1^9*T2^4 + 
      5*T1^10*T2^4 - 5*T2^5 + 74*T1*T2^5 - 477*T1^2*T2^5 - 1968*T1^3*T2^5 + 
      7984*T1^4*T2^5 - 8332*T1^5*T2^5 - 8332*T1^6*T2^5 + 7984*T1^7*T2^5 - 
      1968*T1^8*T2^5 - 477*T1^9*T2^5 + 74*T1^10*T2^5 - 5*T1^11*T2^5 + 
      2*T2^6 - 18*T1*T2^6 - 32*T1^2*T2^6 + 1822*T1^3*T2^6 - 1554*T1^4*T2^6 - 
      8332*T1^5*T2^6 + 22644*T1^6*T2^6 - 8332*T1^7*T2^6 - 1554*T1^8*T2^6 + 
      1822*T1^9*T2^6 - 32*T1^10*T2^6 - 18*T1^11*T2^6 + 2*T1^12*T2^6 - 
      5*T1*T2^7 + 74*T1^2*T2^7 - 477*T1^3*T2^7 - 1968*T1^4*T2^7 + 
      7984*T1^5*T2^7 - 8332*T1^6*T2^7 - 8332*T1^7*T2^7 + 7984*T1^8*T2^7 - 
      1968*T1^9*T2^7 - 477*T1^10*T2^7 + 74*T1^11*T2^7 - 5*T1^12*T2^7 + 
      5*T1^2*T2^8 - 87*T1^3*T2^8 + 1268*T1^4*T2^8 - 1968*T1^5*T2^8 - 
      1554*T1^6*T2^8 + 7984*T1^7*T2^8 - 1554*T1^8*T2^8 - 1968*T1^9*T2^8 + 
      1268*T1^10*T2^8 - 87*T1^11*T2^8 + 5*T1^12*T2^8 + 2*T1^3*T2^9 - 
      87*T1^4*T2^9 - 477*T1^5*T2^9 + 1822*T1^6*T2^9 - 1968*T1^7*T2^9 - 
      1968*T1^8*T2^9 + 1822*T1^9*T2^9 - 477*T1^10*T2^9 - 87*T1^11*T2^9 + 
      2*T1^12*T2^9 + 5*T1^4*T2^10 + 74*T1^5*T2^10 - 32*T1^6*T2^10 - 
      477*T1^7*T2^10 + 1268*T1^8*T2^10 - 477*T1^9*T2^10 - 32*T1^10*T2^10 + 
      74*T1^11*T2^10 + 5*T1^12*T2^10 - 5*T1^5*T2^11 - 18*T1^6*T2^11 + 
      74*T1^7*T2^11 - 87*T1^8*T2^11 - 87*T1^9*T2^11 + 74*T1^10*T2^11 - 
      18*T1^11*T2^11 - 5*T1^12*T2^11 + 2*T1^6*T2^12 - 5*T1^7*T2^12 + 
      5*T1^8*T2^12 + 2*T1^9*T2^12 + 5*T1^10*T2^12 - 5*T1^11*T2^12 + 
      2*T1^12*T2^12)/(T1^6*T2^6))}, 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), (1 - 9*T1 + 32*T1^2 - 63*T1^3 + 77*T1^4 - 63*T1^5 + 32*T1^6 - 
     9*T1^7 + T1^8 - 9*T2 + 72*T1*T2 - 207*T1^2*T2 + 279*T1^3*T2 - 
     126*T1^4*T2 - 126*T1^5*T2 + 279*T1^6*T2 - 207*T1^7*T2 + 72*T1^8*T2 - 
     9*T1^9*T2 + 32*T2^2 - 207*T1*T2^2 + 327*T1^2*T2^2 + 290*T1^3*T2^2 - 
     1619*T1^4*T2^2 + 2209*T1^5*T2^2 - 1619*T1^6*T2^2 + 290*T1^7*T2^2 + 
     327*T1^8*T2^2 - 207*T1^9*T2^2 + 32*T1^10*T2^2 - 63*T2^3 + 279*T1*T2^3 + 
     290*T1^2*T2^3 - 2742*T1^3*T2^3 + 4691*T1^4*T2^3 - 2104*T1^5*T2^3 - 
     2104*T1^6*T2^3 + 4691*T1^7*T2^3 - 2742*T1^8*T2^3 + 290*T1^9*T2^3 + 
     279*T1^10*T2^3 - 63*T1^11*T2^3 + 77*T2^4 - 126*T1*T2^4 - 
     1619*T1^2*T2^4 + 4691*T1^3*T2^4 - 2040*T1^4*T2^4 - 8575*T1^5*T2^4 + 
     12886*T1^6*T2^4 - 8575*T1^7*T2^4 - 2040*T1^8*T2^4 + 4691*T1^9*T2^4 - 
     1619*T1^10*T2^4 - 126*T1^11*T2^4 + 77*T1^12*T2^4 - 63*T2^5 - 
     126*T1*T2^5 + 2209*T1^2*T2^5 - 2104*T1^3*T2^5 - 8575*T1^4*T2^5 + 
     20312*T1^5*T2^5 - 8944*T1^6*T2^5 - 8944*T1^7*T2^5 + 20312*T1^8*T2^5 - 
     8575*T1^9*T2^5 - 2104*T1^10*T2^5 + 2209*T1^11*T2^5 - 126*T1^12*T2^5 - 
     63*T1^13*T2^5 + 32*T2^6 + 279*T1*T2^6 - 1619*T1^2*T2^6 - 
     2104*T1^3*T2^6 + 12886*T1^4*T2^6 - 8944*T1^5*T2^6 - 22803*T1^6*T2^6 + 
     34917*T1^7*T2^6 - 22803*T1^8*T2^6 - 8944*T1^9*T2^6 + 12886*T1^10*T2^6 - 
     2104*T1^11*T2^6 - 1619*T1^12*T2^6 + 279*T1^13*T2^6 + 32*T1^14*T2^6 - 
     9*T2^7 - 207*T1*T2^7 + 290*T1^2*T2^7 + 4691*T1^3*T2^7 - 8575*T1^4*T2^7 - 
     8944*T1^5*T2^7 + 34917*T1^6*T2^7 - 15474*T1^7*T2^7 - 15474*T1^8*T2^7 + 
     34917*T1^9*T2^7 - 8944*T1^10*T2^7 - 8575*T1^11*T2^7 + 4691*T1^12*T2^7 + 
     290*T1^13*T2^7 - 207*T1^14*T2^7 - 9*T1^15*T2^7 + T2^8 + 72*T1*T2^8 + 
     327*T1^2*T2^8 - 2742*T1^3*T2^8 - 2040*T1^4*T2^8 + 20312*T1^5*T2^8 - 
     22803*T1^6*T2^8 - 15474*T1^7*T2^8 + 29808*T1^8*T2^8 - 15474*T1^9*T2^8 - 
     22803*T1^10*T2^8 + 20312*T1^11*T2^8 - 2040*T1^12*T2^8 - 
     2742*T1^13*T2^8 + 327*T1^14*T2^8 + 72*T1^15*T2^8 + T1^16*T2^8 - 
     9*T1*T2^9 - 207*T1^2*T2^9 + 290*T1^3*T2^9 + 4691*T1^4*T2^9 - 
     8575*T1^5*T2^9 - 8944*T1^6*T2^9 + 34917*T1^7*T2^9 - 15474*T1^8*T2^9 - 
     15474*T1^9*T2^9 + 34917*T1^10*T2^9 - 8944*T1^11*T2^9 - 8575*T1^12*T2^9 + 
     4691*T1^13*T2^9 + 290*T1^14*T2^9 - 207*T1^15*T2^9 - 9*T1^16*T2^9 + 
     32*T1^2*T2^10 + 279*T1^3*T2^10 - 1619*T1^4*T2^10 - 2104*T1^5*T2^10 + 
     12886*T1^6*T2^10 - 8944*T1^7*T2^10 - 22803*T1^8*T2^10 + 
     34917*T1^9*T2^10 - 22803*T1^10*T2^10 - 8944*T1^11*T2^10 + 
     12886*T1^12*T2^10 - 2104*T1^13*T2^10 - 1619*T1^14*T2^10 + 
     279*T1^15*T2^10 + 32*T1^16*T2^10 - 63*T1^3*T2^11 - 126*T1^4*T2^11 + 
     2209*T1^5*T2^11 - 2104*T1^6*T2^11 - 8575*T1^7*T2^11 + 20312*T1^8*T2^11 - 
     8944*T1^9*T2^11 - 8944*T1^10*T2^11 + 20312*T1^11*T2^11 - 
     8575*T1^12*T2^11 - 2104*T1^13*T2^11 + 2209*T1^14*T2^11 - 
     126*T1^15*T2^11 - 63*T1^16*T2^11 + 77*T1^4*T2^12 - 126*T1^5*T2^12 - 
     1619*T1^6*T2^12 + 4691*T1^7*T2^12 - 2040*T1^8*T2^12 - 8575*T1^9*T2^12 + 
     12886*T1^10*T2^12 - 8575*T1^11*T2^12 - 2040*T1^12*T2^12 + 
     4691*T1^13*T2^12 - 1619*T1^14*T2^12 - 126*T1^15*T2^12 + 77*T1^16*T2^12 - 
     63*T1^5*T2^13 + 279*T1^6*T2^13 + 290*T1^7*T2^13 - 2742*T1^8*T2^13 + 
     4691*T1^9*T2^13 - 2104*T1^10*T2^13 - 2104*T1^11*T2^13 + 
     4691*T1^12*T2^13 - 2742*T1^13*T2^13 + 290*T1^14*T2^13 + 
     279*T1^15*T2^13 - 63*T1^16*T2^13 + 32*T1^6*T2^14 - 207*T1^7*T2^14 + 
     327*T1^8*T2^14 + 290*T1^9*T2^14 - 1619*T1^10*T2^14 + 2209*T1^11*T2^14 - 
     1619*T1^12*T2^14 + 290*T1^13*T2^14 + 327*T1^14*T2^14 - 207*T1^15*T2^14 + 
     32*T1^16*T2^14 - 9*T1^7*T2^15 + 72*T1^8*T2^15 - 207*T1^9*T2^15 + 
     279*T1^10*T2^15 - 126*T1^11*T2^15 - 126*T1^12*T2^15 + 279*T1^13*T2^15 - 
     207*T1^14*T2^15 + 72*T1^15*T2^15 - 9*T1^16*T2^15 + T1^8*T2^16 - 
     9*T1^9*T2^16 + 32*T1^10*T2^16 - 63*T1^11*T2^16 + 77*T1^12*T2^16 - 
     63*T1^13*T2^16 + 32*T1^14*T2^16 - 9*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, 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), 
   -((1 - 8*T1 + 28*T1^2 - 56*T1^3 + 69*T1^4 - 56*T1^5 + 28*T1^6 - 8*T1^7 + 
      T1^8 - 8*T2 + 56*T1*T2 - 160*T1^2*T2 + 224*T1^3*T2 - 104*T1^4*T2 - 
      104*T1^5*T2 + 224*T1^6*T2 - 160*T1^7*T2 + 56*T1^8*T2 - 8*T1^9*T2 + 
      28*T2^2 - 160*T1*T2^2 + 304*T1^2*T2^2 - 14*T1^3*T2^2 - 842*T1^4*T2^2 + 
      1252*T1^5*T2^2 - 842*T1^6*T2^2 - 14*T1^7*T2^2 + 304*T1^8*T2^2 - 
      160*T1^9*T2^2 + 28*T1^10*T2^2 - 56*T2^3 + 224*T1*T2^3 - 14*T1^2*T2^3 - 
      1376*T1^3*T2^3 + 2836*T1^4*T2^3 - 1358*T1^5*T2^3 - 1358*T1^6*T2^3 + 
      2836*T1^7*T2^3 - 1376*T1^8*T2^3 - 14*T1^9*T2^3 + 224*T1^10*T2^3 - 
      56*T1^11*T2^3 + 69*T2^4 - 104*T1*T2^4 - 842*T1^2*T2^4 + 
      2836*T1^3*T2^4 - 1823*T1^4*T2^4 - 4978*T1^5*T2^4 + 8143*T1^6*T2^4 - 
      4978*T1^7*T2^4 - 1823*T1^8*T2^4 + 2836*T1^9*T2^4 - 842*T1^10*T2^4 - 
      104*T1^11*T2^4 + 69*T1^12*T2^4 - 56*T2^5 - 104*T1*T2^5 + 
      1252*T1^2*T2^5 - 1358*T1^3*T2^5 - 4978*T1^4*T2^5 + 13428*T1^5*T2^5 - 
      6492*T1^6*T2^5 - 6492*T1^7*T2^5 + 13428*T1^8*T2^5 - 4978*T1^9*T2^5 - 
      1358*T1^10*T2^5 + 1252*T1^11*T2^5 - 104*T1^12*T2^5 - 56*T1^13*T2^5 + 
      28*T2^6 + 224*T1*T2^6 - 842*T1^2*T2^6 - 1358*T1^3*T2^6 + 
      8143*T1^4*T2^6 - 6492*T1^5*T2^6 - 15070*T1^6*T2^6 + 25036*T1^7*T2^6 - 
      15070*T1^8*T2^6 - 6492*T1^9*T2^6 + 8143*T1^10*T2^6 - 1358*T1^11*T2^6 - 
      842*T1^12*T2^6 + 224*T1^13*T2^6 + 28*T1^14*T2^6 - 8*T2^7 - 
      160*T1*T2^7 - 14*T1^2*T2^7 + 2836*T1^3*T2^7 - 4978*T1^4*T2^7 - 
      6492*T1^5*T2^7 + 25036*T1^6*T2^7 - 12396*T1^7*T2^7 - 12396*T1^8*T2^7 + 
      25036*T1^9*T2^7 - 6492*T1^10*T2^7 - 4978*T1^11*T2^7 + 2836*T1^12*T2^7 - 
      14*T1^13*T2^7 - 160*T1^14*T2^7 - 8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 
      304*T1^2*T2^8 - 1376*T1^3*T2^8 - 1823*T1^4*T2^8 + 13428*T1^5*T2^8 - 
      15070*T1^6*T2^8 - 12396*T1^7*T2^8 + 25344*T1^8*T2^8 - 12396*T1^9*T2^8 - 
      15070*T1^10*T2^8 + 13428*T1^11*T2^8 - 1823*T1^12*T2^8 - 
      1376*T1^13*T2^8 + 304*T1^14*T2^8 + 56*T1^15*T2^8 + T1^16*T2^8 - 
      8*T1*T2^9 - 160*T1^2*T2^9 - 14*T1^3*T2^9 + 2836*T1^4*T2^9 - 
      4978*T1^5*T2^9 - 6492*T1^6*T2^9 + 25036*T1^7*T2^9 - 12396*T1^8*T2^9 - 
      12396*T1^9*T2^9 + 25036*T1^10*T2^9 - 6492*T1^11*T2^9 - 
      4978*T1^12*T2^9 + 2836*T1^13*T2^9 - 14*T1^14*T2^9 - 160*T1^15*T2^9 - 
      8*T1^16*T2^9 + 28*T1^2*T2^10 + 224*T1^3*T2^10 - 842*T1^4*T2^10 - 
      1358*T1^5*T2^10 + 8143*T1^6*T2^10 - 6492*T1^7*T2^10 - 
      15070*T1^8*T2^10 + 25036*T1^9*T2^10 - 15070*T1^10*T2^10 - 
      6492*T1^11*T2^10 + 8143*T1^12*T2^10 - 1358*T1^13*T2^10 - 
      842*T1^14*T2^10 + 224*T1^15*T2^10 + 28*T1^16*T2^10 - 56*T1^3*T2^11 - 
      104*T1^4*T2^11 + 1252*T1^5*T2^11 - 1358*T1^6*T2^11 - 4978*T1^7*T2^11 + 
      13428*T1^8*T2^11 - 6492*T1^9*T2^11 - 6492*T1^10*T2^11 + 
      13428*T1^11*T2^11 - 4978*T1^12*T2^11 - 1358*T1^13*T2^11 + 
      1252*T1^14*T2^11 - 104*T1^15*T2^11 - 56*T1^16*T2^11 + 69*T1^4*T2^12 - 
      104*T1^5*T2^12 - 842*T1^6*T2^12 + 2836*T1^7*T2^12 - 1823*T1^8*T2^12 - 
      4978*T1^9*T2^12 + 8143*T1^10*T2^12 - 4978*T1^11*T2^12 - 
      1823*T1^12*T2^12 + 2836*T1^13*T2^12 - 842*T1^14*T2^12 - 
      104*T1^15*T2^12 + 69*T1^16*T2^12 - 56*T1^5*T2^13 + 224*T1^6*T2^13 - 
      14*T1^7*T2^13 - 1376*T1^8*T2^13 + 2836*T1^9*T2^13 - 1358*T1^10*T2^13 - 
      1358*T1^11*T2^13 + 2836*T1^12*T2^13 - 1376*T1^13*T2^13 - 
      14*T1^14*T2^13 + 224*T1^15*T2^13 - 56*T1^16*T2^13 + 28*T1^6*T2^14 - 
      160*T1^7*T2^14 + 304*T1^8*T2^14 - 14*T1^9*T2^14 - 842*T1^10*T2^14 + 
      1252*T1^11*T2^14 - 842*T1^12*T2^14 - 14*T1^13*T2^14 + 304*T1^14*T2^14 - 
      160*T1^15*T2^14 + 28*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 
      160*T1^9*T2^15 + 224*T1^10*T2^15 - 104*T1^11*T2^15 - 104*T1^12*T2^15 + 
      224*T1^13*T2^15 - 160*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + 
      T1^8*T2^16 - 8*T1^9*T2^16 + 28*T1^10*T2^16 - 56*T1^11*T2^16 + 
      69*T1^12*T2^16 - 56*T1^13*T2^16 + 28*T1^14*T2^16 - 8*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, 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 + 84*T1*T2 - 182*T1^2*T2 + 182*T1^3*T2 - 84*T1^4*T2 - 
      84*T1^5*T2 + 182*T1^6*T2 - 182*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
      40*T2^2 - 182*T1*T2^2 + 157*T1^2*T2^2 + 347*T1^3*T2^2 - 856*T1^4*T2^2 + 
      1159*T1^5*T2^2 - 856*T1^6*T2^2 + 347*T1^7*T2^2 + 157*T1^8*T2^2 - 
      182*T1^9*T2^2 + 40*T1^10*T2^2 - 66*T2^3 + 182*T1*T2^3 + 347*T1^2*T2^3 - 
      1490*T1^3*T2^3 + 1525*T1^4*T2^3 - 806*T1^5*T2^3 - 806*T1^6*T2^3 + 
      1525*T1^7*T2^3 - 1490*T1^8*T2^3 + 347*T1^9*T2^3 + 182*T1^10*T2^3 - 
      66*T1^11*T2^3 + 78*T2^4 - 84*T1*T2^4 - 856*T1^2*T2^4 + 1525*T1^3*T2^4 + 
      512*T1^4*T2^4 - 2357*T1^5*T2^4 + 3874*T1^6*T2^4 - 2357*T1^7*T2^4 + 
      512*T1^8*T2^4 + 1525*T1^9*T2^4 - 856*T1^10*T2^4 - 84*T1^11*T2^4 + 
      78*T1^12*T2^4 - 66*T2^5 - 84*T1*T2^5 + 1159*T1^2*T2^5 - 806*T1^3*T2^5 - 
      2357*T1^4*T2^5 + 2642*T1^5*T2^5 - 1871*T1^6*T2^5 - 1871*T1^7*T2^5 + 
      2642*T1^8*T2^5 - 2357*T1^9*T2^5 - 806*T1^10*T2^5 + 1159*T1^11*T2^5 - 
      84*T1^12*T2^5 - 66*T1^13*T2^5 + 40*T2^6 + 182*T1*T2^6 - 856*T1^2*T2^6 - 
      806*T1^3*T2^6 + 3874*T1^4*T2^6 - 1871*T1^5*T2^6 + 191*T1^6*T2^6 + 
      2537*T1^7*T2^6 + 191*T1^8*T2^6 - 1871*T1^9*T2^6 + 3874*T1^10*T2^6 - 
      806*T1^11*T2^6 - 856*T1^12*T2^6 + 182*T1^13*T2^6 + 40*T1^14*T2^6 - 
      14*T2^7 - 182*T1*T2^7 + 347*T1^2*T2^7 + 1525*T1^3*T2^7 - 
      2357*T1^4*T2^7 - 1871*T1^5*T2^7 + 2537*T1^6*T2^7 - 2466*T1^7*T2^7 - 
      2466*T1^8*T2^7 + 2537*T1^9*T2^7 - 1871*T1^10*T2^7 - 2357*T1^11*T2^7 + 
      1525*T1^12*T2^7 + 347*T1^13*T2^7 - 182*T1^14*T2^7 - 14*T1^15*T2^7 + 
      2*T2^8 + 84*T1*T2^8 + 157*T1^2*T2^8 - 1490*T1^3*T2^8 + 512*T1^4*T2^8 + 
      2642*T1^5*T2^8 + 191*T1^6*T2^8 - 2466*T1^7*T2^8 + 6024*T1^8*T2^8 - 
      2466*T1^9*T2^8 + 191*T1^10*T2^8 + 2642*T1^11*T2^8 + 512*T1^12*T2^8 - 
      1490*T1^13*T2^8 + 157*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 
      14*T1*T2^9 - 182*T1^2*T2^9 + 347*T1^3*T2^9 + 1525*T1^4*T2^9 - 
      2357*T1^5*T2^9 - 1871*T1^6*T2^9 + 2537*T1^7*T2^9 - 2466*T1^8*T2^9 - 
      2466*T1^9*T2^9 + 2537*T1^10*T2^9 - 1871*T1^11*T2^9 - 2357*T1^12*T2^9 + 
      1525*T1^13*T2^9 + 347*T1^14*T2^9 - 182*T1^15*T2^9 - 14*T1^16*T2^9 + 
      40*T1^2*T2^10 + 182*T1^3*T2^10 - 856*T1^4*T2^10 - 806*T1^5*T2^10 + 
      3874*T1^6*T2^10 - 1871*T1^7*T2^10 + 191*T1^8*T2^10 + 2537*T1^9*T2^10 + 
      191*T1^10*T2^10 - 1871*T1^11*T2^10 + 3874*T1^12*T2^10 - 
      806*T1^13*T2^10 - 856*T1^14*T2^10 + 182*T1^15*T2^10 + 40*T1^16*T2^10 - 
      66*T1^3*T2^11 - 84*T1^4*T2^11 + 1159*T1^5*T2^11 - 806*T1^6*T2^11 - 
      2357*T1^7*T2^11 + 2642*T1^8*T2^11 - 1871*T1^9*T2^11 - 
      1871*T1^10*T2^11 + 2642*T1^11*T2^11 - 2357*T1^12*T2^11 - 
      806*T1^13*T2^11 + 1159*T1^14*T2^11 - 84*T1^15*T2^11 - 66*T1^16*T2^11 + 
      78*T1^4*T2^12 - 84*T1^5*T2^12 - 856*T1^6*T2^12 + 1525*T1^7*T2^12 + 
      512*T1^8*T2^12 - 2357*T1^9*T2^12 + 3874*T1^10*T2^12 - 
      2357*T1^11*T2^12 + 512*T1^12*T2^12 + 1525*T1^13*T2^12 - 
      856*T1^14*T2^12 - 84*T1^15*T2^12 + 78*T1^16*T2^12 - 66*T1^5*T2^13 + 
      182*T1^6*T2^13 + 347*T1^7*T2^13 - 1490*T1^8*T2^13 + 1525*T1^9*T2^13 - 
      806*T1^10*T2^13 - 806*T1^11*T2^13 + 1525*T1^12*T2^13 - 
      1490*T1^13*T2^13 + 347*T1^14*T2^13 + 182*T1^15*T2^13 - 66*T1^16*T2^13 + 
      40*T1^6*T2^14 - 182*T1^7*T2^14 + 157*T1^8*T2^14 + 347*T1^9*T2^14 - 
      856*T1^10*T2^14 + 1159*T1^11*T2^14 - 856*T1^12*T2^14 + 
      347*T1^13*T2^14 + 157*T1^14*T2^14 - 182*T1^15*T2^14 + 40*T1^16*T2^14 - 
      14*T1^7*T2^15 + 84*T1^8*T2^15 - 182*T1^9*T2^15 + 182*T1^10*T2^15 - 
      84*T1^11*T2^15 - 84*T1^12*T2^15 + 182*T1^13*T2^15 - 182*T1^14*T2^15 + 
      84*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)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 477] -> 
  {-(((-1 + 5*T - 6*T^2 + T^3)*(-1 + 6*T - 5*T^2 + T^3))/T^3), 0}, 
 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), (1 - 8*T1 + 25*T1^2 - 46*T1^3 + 55*T1^4 - 46*T1^5 + 25*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 136*T1^2*T2 + 168*T1^3*T2 - 
     72*T1^4*T2 - 72*T1^5*T2 + 168*T1^6*T2 - 136*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 25*T2^2 - 136*T1*T2^2 + 141*T1^2*T2^2 + 243*T1^3*T2^2 - 
     931*T1^4*T2^2 + 1205*T1^5*T2^2 - 931*T1^6*T2^2 + 243*T1^7*T2^2 + 
     141*T1^8*T2^2 - 136*T1^9*T2^2 + 25*T1^10*T2^2 - 46*T2^3 + 168*T1*T2^3 + 
     243*T1^2*T2^3 - 1346*T1^3*T2^3 + 2072*T1^4*T2^3 - 864*T1^5*T2^3 - 
     864*T1^6*T2^3 + 2072*T1^7*T2^3 - 1346*T1^8*T2^3 + 243*T1^9*T2^3 + 
     168*T1^10*T2^3 - 46*T1^11*T2^3 + 55*T2^4 - 72*T1*T2^4 - 931*T1^2*T2^4 + 
     2072*T1^3*T2^4 - 1004*T1^4*T2^4 - 2849*T1^5*T2^4 + 4212*T1^6*T2^4 - 
     2849*T1^7*T2^4 - 1004*T1^8*T2^4 + 2072*T1^9*T2^4 - 931*T1^10*T2^4 - 
     72*T1^11*T2^4 + 55*T1^12*T2^4 - 46*T2^5 - 72*T1*T2^5 + 1205*T1^2*T2^5 - 
     864*T1^3*T2^5 - 2849*T1^4*T2^5 + 6658*T1^5*T2^5 - 2792*T1^6*T2^5 - 
     2792*T1^7*T2^5 + 6658*T1^8*T2^5 - 2849*T1^9*T2^5 - 864*T1^10*T2^5 + 
     1205*T1^11*T2^5 - 72*T1^12*T2^5 - 46*T1^13*T2^5 + 25*T2^6 + 
     168*T1*T2^6 - 931*T1^2*T2^6 - 864*T1^3*T2^6 + 4212*T1^4*T2^6 - 
     2792*T1^5*T2^6 - 7029*T1^6*T2^6 + 10609*T1^7*T2^6 - 7029*T1^8*T2^6 - 
     2792*T1^9*T2^6 + 4212*T1^10*T2^6 - 864*T1^11*T2^6 - 931*T1^12*T2^6 + 
     168*T1^13*T2^6 + 25*T1^14*T2^6 - 8*T2^7 - 136*T1*T2^7 + 243*T1^2*T2^7 + 
     2072*T1^3*T2^7 - 2849*T1^4*T2^7 - 2792*T1^5*T2^7 + 10609*T1^6*T2^7 - 
     4744*T1^7*T2^7 - 4744*T1^8*T2^7 + 10609*T1^9*T2^7 - 2792*T1^10*T2^7 - 
     2849*T1^11*T2^7 + 2072*T1^12*T2^7 + 243*T1^13*T2^7 - 136*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 141*T1^2*T2^8 - 1346*T1^3*T2^8 - 
     1004*T1^4*T2^8 + 6658*T1^5*T2^8 - 7029*T1^6*T2^8 - 4744*T1^7*T2^8 + 
     9396*T1^8*T2^8 - 4744*T1^9*T2^8 - 7029*T1^10*T2^8 + 6658*T1^11*T2^8 - 
     1004*T1^12*T2^8 - 1346*T1^13*T2^8 + 141*T1^14*T2^8 + 56*T1^15*T2^8 + 
     T1^16*T2^8 - 8*T1*T2^9 - 136*T1^2*T2^9 + 243*T1^3*T2^9 + 
     2072*T1^4*T2^9 - 2849*T1^5*T2^9 - 2792*T1^6*T2^9 + 10609*T1^7*T2^9 - 
     4744*T1^8*T2^9 - 4744*T1^9*T2^9 + 10609*T1^10*T2^9 - 2792*T1^11*T2^9 - 
     2849*T1^12*T2^9 + 2072*T1^13*T2^9 + 243*T1^14*T2^9 - 136*T1^15*T2^9 - 
     8*T1^16*T2^9 + 25*T1^2*T2^10 + 168*T1^3*T2^10 - 931*T1^4*T2^10 - 
     864*T1^5*T2^10 + 4212*T1^6*T2^10 - 2792*T1^7*T2^10 - 7029*T1^8*T2^10 + 
     10609*T1^9*T2^10 - 7029*T1^10*T2^10 - 2792*T1^11*T2^10 + 
     4212*T1^12*T2^10 - 864*T1^13*T2^10 - 931*T1^14*T2^10 + 168*T1^15*T2^10 + 
     25*T1^16*T2^10 - 46*T1^3*T2^11 - 72*T1^4*T2^11 + 1205*T1^5*T2^11 - 
     864*T1^6*T2^11 - 2849*T1^7*T2^11 + 6658*T1^8*T2^11 - 2792*T1^9*T2^11 - 
     2792*T1^10*T2^11 + 6658*T1^11*T2^11 - 2849*T1^12*T2^11 - 
     864*T1^13*T2^11 + 1205*T1^14*T2^11 - 72*T1^15*T2^11 - 46*T1^16*T2^11 + 
     55*T1^4*T2^12 - 72*T1^5*T2^12 - 931*T1^6*T2^12 + 2072*T1^7*T2^12 - 
     1004*T1^8*T2^12 - 2849*T1^9*T2^12 + 4212*T1^10*T2^12 - 
     2849*T1^11*T2^12 - 1004*T1^12*T2^12 + 2072*T1^13*T2^12 - 
     931*T1^14*T2^12 - 72*T1^15*T2^12 + 55*T1^16*T2^12 - 46*T1^5*T2^13 + 
     168*T1^6*T2^13 + 243*T1^7*T2^13 - 1346*T1^8*T2^13 + 2072*T1^9*T2^13 - 
     864*T1^10*T2^13 - 864*T1^11*T2^13 + 2072*T1^12*T2^13 - 
     1346*T1^13*T2^13 + 243*T1^14*T2^13 + 168*T1^15*T2^13 - 46*T1^16*T2^13 + 
     25*T1^6*T2^14 - 136*T1^7*T2^14 + 141*T1^8*T2^14 + 243*T1^9*T2^14 - 
     931*T1^10*T2^14 + 1205*T1^11*T2^14 - 931*T1^12*T2^14 + 243*T1^13*T2^14 + 
     141*T1^14*T2^14 - 136*T1^15*T2^14 + 25*T1^16*T2^14 - 8*T1^7*T2^15 + 
     56*T1^8*T2^15 - 136*T1^9*T2^15 + 168*T1^10*T2^15 - 72*T1^11*T2^15 - 
     72*T1^12*T2^15 + 168*T1^13*T2^15 - 136*T1^14*T2^15 + 56*T1^15*T2^15 - 
     8*T1^16*T2^15 + T1^8*T2^16 - 8*T1^9*T2^16 + 25*T1^10*T2^16 - 
     46*T1^11*T2^16 + 55*T1^12*T2^16 - 46*T1^13*T2^16 + 25*T1^14*T2^16 - 
     8*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 
   -((T1 - T1^2 + 4*T1^3 - T1^4 + T1^5 + T2 - 6*T1*T2 - 5*T1^2*T2 - 
      15*T1^3*T2 - 15*T1^4*T2 - 5*T1^5*T2 - 6*T1^6*T2 + T1^7*T2 - T2^2 - 
      5*T1*T2^2 + 43*T1^2*T2^2 + 128*T1^3*T2^2 - 39*T1^4*T2^2 + 
      128*T1^5*T2^2 + 43*T1^6*T2^2 - 5*T1^7*T2^2 - T1^8*T2^2 + 4*T2^3 - 
      15*T1*T2^3 + 128*T1^2*T2^3 - 670*T1^3*T2^3 + 37*T1^4*T2^3 + 
      37*T1^5*T2^3 - 670*T1^6*T2^3 + 128*T1^7*T2^3 - 15*T1^8*T2^3 + 
      4*T1^9*T2^3 - T2^4 - 15*T1*T2^4 - 39*T1^2*T2^4 + 37*T1^3*T2^4 + 
      2198*T1^4*T2^4 - 1910*T1^5*T2^4 + 2198*T1^6*T2^4 + 37*T1^7*T2^4 - 
      39*T1^8*T2^4 - 15*T1^9*T2^4 - T1^10*T2^4 + T2^5 - 5*T1*T2^5 + 
      128*T1^2*T2^5 + 37*T1^3*T2^5 - 1910*T1^4*T2^5 - 280*T1^5*T2^5 - 
      280*T1^6*T2^5 - 1910*T1^7*T2^5 + 37*T1^8*T2^5 + 128*T1^9*T2^5 - 
      5*T1^10*T2^5 + T1^11*T2^5 - 6*T1*T2^6 + 43*T1^2*T2^6 - 670*T1^3*T2^6 + 
      2198*T1^4*T2^6 - 280*T1^5*T2^6 + 2220*T1^6*T2^6 - 280*T1^7*T2^6 + 
      2198*T1^8*T2^6 - 670*T1^9*T2^6 + 43*T1^10*T2^6 - 6*T1^11*T2^6 + 
      T1*T2^7 - 5*T1^2*T2^7 + 128*T1^3*T2^7 + 37*T1^4*T2^7 - 1910*T1^5*T2^7 - 
      280*T1^6*T2^7 - 280*T1^7*T2^7 - 1910*T1^8*T2^7 + 37*T1^9*T2^7 + 
      128*T1^10*T2^7 - 5*T1^11*T2^7 + T1^12*T2^7 - T1^2*T2^8 - 15*T1^3*T2^8 - 
      39*T1^4*T2^8 + 37*T1^5*T2^8 + 2198*T1^6*T2^8 - 1910*T1^7*T2^8 + 
      2198*T1^8*T2^8 + 37*T1^9*T2^8 - 39*T1^10*T2^8 - 15*T1^11*T2^8 - 
      T1^12*T2^8 + 4*T1^3*T2^9 - 15*T1^4*T2^9 + 128*T1^5*T2^9 - 
      670*T1^6*T2^9 + 37*T1^7*T2^9 + 37*T1^8*T2^9 - 670*T1^9*T2^9 + 
      128*T1^10*T2^9 - 15*T1^11*T2^9 + 4*T1^12*T2^9 - T1^4*T2^10 - 
      5*T1^5*T2^10 + 43*T1^6*T2^10 + 128*T1^7*T2^10 - 39*T1^8*T2^10 + 
      128*T1^9*T2^10 + 43*T1^10*T2^10 - 5*T1^11*T2^10 - T1^12*T2^10 + 
      T1^5*T2^11 - 6*T1^6*T2^11 - 5*T1^7*T2^11 - 15*T1^8*T2^11 - 
      15*T1^9*T2^11 - 5*T1^10*T2^11 - 6*T1^11*T2^11 + T1^12*T2^11 + 
      T1^7*T2^12 - T1^8*T2^12 + 4*T1^9*T2^12 - T1^10*T2^12 + T1^11*T2^12)/
     (T1^6*T2^6))}, 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), -((1 - 8*T1 + 30*T1^2 - 64*T1^3 + 81*T1^4 - 64*T1^5 + 30*T1^6 - 
      8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 176*T1^2*T2 + 272*T1^3*T2 - 
      136*T1^4*T2 - 136*T1^5*T2 + 272*T1^6*T2 - 176*T1^7*T2 + 56*T1^8*T2 - 
      8*T1^9*T2 + 30*T2^2 - 176*T1*T2^2 + 418*T1^2*T2^2 - 233*T1^3*T2^2 - 
      797*T1^4*T2^2 + 1390*T1^5*T2^2 - 797*T1^6*T2^2 - 233*T1^7*T2^2 + 
      418*T1^8*T2^2 - 176*T1^9*T2^2 + 30*T1^10*T2^2 - 64*T2^3 + 272*T1*T2^3 - 
      233*T1^2*T2^3 - 1314*T1^3*T2^3 + 3657*T1^4*T2^3 - 2005*T1^5*T2^3 - 
      2005*T1^6*T2^3 + 3657*T1^7*T2^3 - 1314*T1^8*T2^3 - 233*T1^9*T2^3 + 
      272*T1^10*T2^3 - 64*T1^11*T2^3 + 81*T2^4 - 136*T1*T2^4 - 
      797*T1^2*T2^4 + 3657*T1^3*T2^4 - 3402*T1^4*T2^4 - 7010*T1^5*T2^4 + 
      13062*T1^6*T2^4 - 7010*T1^7*T2^4 - 3402*T1^8*T2^4 + 3657*T1^9*T2^4 - 
      797*T1^10*T2^4 - 136*T1^11*T2^4 + 81*T1^12*T2^4 - 64*T2^5 - 
      136*T1*T2^5 + 1390*T1^2*T2^5 - 2005*T1^3*T2^5 - 7010*T1^4*T2^5 + 
      23492*T1^5*T2^5 - 12975*T1^6*T2^5 - 12975*T1^7*T2^5 + 23492*T1^8*T2^5 - 
      7010*T1^9*T2^5 - 2005*T1^10*T2^5 + 1390*T1^11*T2^5 - 136*T1^12*T2^5 - 
      64*T1^13*T2^5 + 30*T2^6 + 272*T1*T2^6 - 797*T1^2*T2^6 - 
      2005*T1^3*T2^6 + 13062*T1^4*T2^6 - 12975*T1^5*T2^6 - 30044*T1^6*T2^6 + 
      54790*T1^7*T2^6 - 30044*T1^8*T2^6 - 12975*T1^9*T2^6 + 
      13062*T1^10*T2^6 - 2005*T1^11*T2^6 - 797*T1^12*T2^6 + 272*T1^13*T2^6 + 
      30*T1^14*T2^6 - 8*T2^7 - 176*T1*T2^7 - 233*T1^2*T2^7 + 3657*T1^3*T2^7 - 
      7010*T1^4*T2^7 - 12975*T1^5*T2^7 + 54790*T1^6*T2^7 - 30726*T1^7*T2^7 - 
      30726*T1^8*T2^7 + 54790*T1^9*T2^7 - 12975*T1^10*T2^7 - 
      7010*T1^11*T2^7 + 3657*T1^12*T2^7 - 233*T1^13*T2^7 - 176*T1^14*T2^7 - 
      8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 418*T1^2*T2^8 - 1314*T1^3*T2^8 - 
      3402*T1^4*T2^8 + 23492*T1^5*T2^8 - 30044*T1^6*T2^8 - 30726*T1^7*T2^8 + 
      66516*T1^8*T2^8 - 30726*T1^9*T2^8 - 30044*T1^10*T2^8 + 
      23492*T1^11*T2^8 - 3402*T1^12*T2^8 - 1314*T1^13*T2^8 + 418*T1^14*T2^8 + 
      56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 176*T1^2*T2^9 - 
      233*T1^3*T2^9 + 3657*T1^4*T2^9 - 7010*T1^5*T2^9 - 12975*T1^6*T2^9 + 
      54790*T1^7*T2^9 - 30726*T1^8*T2^9 - 30726*T1^9*T2^9 + 
      54790*T1^10*T2^9 - 12975*T1^11*T2^9 - 7010*T1^12*T2^9 + 
      3657*T1^13*T2^9 - 233*T1^14*T2^9 - 176*T1^15*T2^9 - 8*T1^16*T2^9 + 
      30*T1^2*T2^10 + 272*T1^3*T2^10 - 797*T1^4*T2^10 - 2005*T1^5*T2^10 + 
      13062*T1^6*T2^10 - 12975*T1^7*T2^10 - 30044*T1^8*T2^10 + 
      54790*T1^9*T2^10 - 30044*T1^10*T2^10 - 12975*T1^11*T2^10 + 
      13062*T1^12*T2^10 - 2005*T1^13*T2^10 - 797*T1^14*T2^10 + 
      272*T1^15*T2^10 + 30*T1^16*T2^10 - 64*T1^3*T2^11 - 136*T1^4*T2^11 + 
      1390*T1^5*T2^11 - 2005*T1^6*T2^11 - 7010*T1^7*T2^11 + 
      23492*T1^8*T2^11 - 12975*T1^9*T2^11 - 12975*T1^10*T2^11 + 
      23492*T1^11*T2^11 - 7010*T1^12*T2^11 - 2005*T1^13*T2^11 + 
      1390*T1^14*T2^11 - 136*T1^15*T2^11 - 64*T1^16*T2^11 + 81*T1^4*T2^12 - 
      136*T1^5*T2^12 - 797*T1^6*T2^12 + 3657*T1^7*T2^12 - 3402*T1^8*T2^12 - 
      7010*T1^9*T2^12 + 13062*T1^10*T2^12 - 7010*T1^11*T2^12 - 
      3402*T1^12*T2^12 + 3657*T1^13*T2^12 - 797*T1^14*T2^12 - 
      136*T1^15*T2^12 + 81*T1^16*T2^12 - 64*T1^5*T2^13 + 272*T1^6*T2^13 - 
      233*T1^7*T2^13 - 1314*T1^8*T2^13 + 3657*T1^9*T2^13 - 2005*T1^10*T2^13 - 
      2005*T1^11*T2^13 + 3657*T1^12*T2^13 - 1314*T1^13*T2^13 - 
      233*T1^14*T2^13 + 272*T1^15*T2^13 - 64*T1^16*T2^13 + 30*T1^6*T2^14 - 
      176*T1^7*T2^14 + 418*T1^8*T2^14 - 233*T1^9*T2^14 - 797*T1^10*T2^14 + 
      1390*T1^11*T2^14 - 797*T1^12*T2^14 - 233*T1^13*T2^14 + 
      418*T1^14*T2^14 - 176*T1^15*T2^14 + 30*T1^16*T2^14 - 8*T1^7*T2^15 + 
      56*T1^8*T2^15 - 176*T1^9*T2^15 + 272*T1^10*T2^15 - 136*T1^11*T2^15 - 
      136*T1^12*T2^15 + 272*T1^13*T2^15 - 176*T1^14*T2^15 + 56*T1^15*T2^15 - 
      8*T1^16*T2^15 + T1^8*T2^16 - 8*T1^9*T2^16 + 30*T1^10*T2^16 - 
      64*T1^11*T2^16 + 81*T1^12*T2^16 - 64*T1^13*T2^16 + 30*T1^14*T2^16 - 
      8*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 481] -> 
  {(2 - 13*T + 28*T^2 - 33*T^3 + 28*T^4 - 13*T^5 + 2*T^6)/T^3, 
   -((7 - 45*T1 + 96*T1^2 - 113*T1^3 + 96*T1^4 - 45*T1^5 + 7*T1^6 - 45*T2 + 
      244*T1*T2 - 327*T1^2*T2 + 109*T1^3*T2 + 109*T1^4*T2 - 327*T1^5*T2 + 
      244*T1^6*T2 - 45*T1^7*T2 + 96*T2^2 - 327*T1*T2^2 - 407*T1^2*T2^2 + 
      1702*T1^3*T2^2 - 1939*T1^4*T2^2 + 1702*T1^5*T2^2 - 407*T1^6*T2^2 - 
      327*T1^7*T2^2 + 96*T1^8*T2^2 - 113*T2^3 + 109*T1*T2^3 + 
      1702*T1^2*T2^3 - 2770*T1^3*T2^3 + 823*T1^4*T2^3 + 823*T1^5*T2^3 - 
      2770*T1^6*T2^3 + 1702*T1^7*T2^3 + 109*T1^8*T2^3 - 113*T1^9*T2^3 + 
      96*T2^4 + 109*T1*T2^4 - 1939*T1^2*T2^4 + 823*T1^3*T2^4 + 
      3641*T1^4*T2^4 - 4663*T1^5*T2^4 + 3641*T1^6*T2^4 + 823*T1^7*T2^4 - 
      1939*T1^8*T2^4 + 109*T1^9*T2^4 + 96*T1^10*T2^4 - 45*T2^5 - 
      327*T1*T2^5 + 1702*T1^2*T2^5 + 823*T1^3*T2^5 - 4663*T1^4*T2^5 + 
      2064*T1^5*T2^5 + 2064*T1^6*T2^5 - 4663*T1^7*T2^5 + 823*T1^8*T2^5 + 
      1702*T1^9*T2^5 - 327*T1^10*T2^5 - 45*T1^11*T2^5 + 7*T2^6 + 
      244*T1*T2^6 - 407*T1^2*T2^6 - 2770*T1^3*T2^6 + 3641*T1^4*T2^6 + 
      2064*T1^5*T2^6 - 4680*T1^6*T2^6 + 2064*T1^7*T2^6 + 3641*T1^8*T2^6 - 
      2770*T1^9*T2^6 - 407*T1^10*T2^6 + 244*T1^11*T2^6 + 7*T1^12*T2^6 - 
      45*T1*T2^7 - 327*T1^2*T2^7 + 1702*T1^3*T2^7 + 823*T1^4*T2^7 - 
      4663*T1^5*T2^7 + 2064*T1^6*T2^7 + 2064*T1^7*T2^7 - 4663*T1^8*T2^7 + 
      823*T1^9*T2^7 + 1702*T1^10*T2^7 - 327*T1^11*T2^7 - 45*T1^12*T2^7 + 
      96*T1^2*T2^8 + 109*T1^3*T2^8 - 1939*T1^4*T2^8 + 823*T1^5*T2^8 + 
      3641*T1^6*T2^8 - 4663*T1^7*T2^8 + 3641*T1^8*T2^8 + 823*T1^9*T2^8 - 
      1939*T1^10*T2^8 + 109*T1^11*T2^8 + 96*T1^12*T2^8 - 113*T1^3*T2^9 + 
      109*T1^4*T2^9 + 1702*T1^5*T2^9 - 2770*T1^6*T2^9 + 823*T1^7*T2^9 + 
      823*T1^8*T2^9 - 2770*T1^9*T2^9 + 1702*T1^10*T2^9 + 109*T1^11*T2^9 - 
      113*T1^12*T2^9 + 96*T1^4*T2^10 - 327*T1^5*T2^10 - 407*T1^6*T2^10 + 
      1702*T1^7*T2^10 - 1939*T1^8*T2^10 + 1702*T1^9*T2^10 - 407*T1^10*T2^10 - 
      327*T1^11*T2^10 + 96*T1^12*T2^10 - 45*T1^5*T2^11 + 244*T1^6*T2^11 - 
      327*T1^7*T2^11 + 109*T1^8*T2^11 + 109*T1^9*T2^11 - 327*T1^10*T2^11 + 
      244*T1^11*T2^11 - 45*T1^12*T2^11 + 7*T1^6*T2^12 - 45*T1^7*T2^12 + 
      96*T1^8*T2^12 - 113*T1^9*T2^12 + 96*T1^10*T2^12 - 45*T1^11*T2^12 + 
      7*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 482] -> 
  {(4 - 23*T + 39*T^2 - 23*T^3 + 4*T^4)/T^2, 
   (4*T1 - 8*T1^2 + 4*T1^3 + 4*T2 - 46*T1*T2 + 44*T1^2*T2 + 44*T1^3*T2 - 
     46*T1^4*T2 + 4*T1^5*T2 - 8*T2^2 + 44*T1*T2^2 + 165*T1^2*T2^2 - 
     425*T1^3*T2^2 + 165*T1^4*T2^2 + 44*T1^5*T2^2 - 8*T1^6*T2^2 + 4*T2^3 + 
     44*T1*T2^3 - 425*T1^2*T2^3 + 406*T1^3*T2^3 + 406*T1^4*T2^3 - 
     425*T1^5*T2^3 + 44*T1^6*T2^3 + 4*T1^7*T2^3 - 46*T1*T2^4 + 
     165*T1^2*T2^4 + 406*T1^3*T2^4 - 1128*T1^4*T2^4 + 406*T1^5*T2^4 + 
     165*T1^6*T2^4 - 46*T1^7*T2^4 + 4*T1*T2^5 + 44*T1^2*T2^5 - 
     425*T1^3*T2^5 + 406*T1^4*T2^5 + 406*T1^5*T2^5 - 425*T1^6*T2^5 + 
     44*T1^7*T2^5 + 4*T1^8*T2^5 - 8*T1^2*T2^6 + 44*T1^3*T2^6 + 
     165*T1^4*T2^6 - 425*T1^5*T2^6 + 165*T1^6*T2^6 + 44*T1^7*T2^6 - 
     8*T1^8*T2^6 + 4*T1^3*T2^7 - 46*T1^4*T2^7 + 44*T1^5*T2^7 + 44*T1^6*T2^7 - 
     46*T1^7*T2^7 + 4*T1^8*T2^7 + 4*T1^5*T2^8 - 8*T1^6*T2^8 + 4*T1^7*T2^8)/
    (T1^4*T2^4)}, 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), (1 - 9*T1 + 35*T1^2 - 75*T1^3 + 95*T1^4 - 75*T1^5 + 35*T1^6 - 
     9*T1^7 + T1^8 - 9*T2 + 72*T1*T2 - 234*T1^2*T2 + 360*T1^3*T2 - 
     180*T1^4*T2 - 180*T1^5*T2 + 360*T1^6*T2 - 234*T1^7*T2 + 72*T1^8*T2 - 
     9*T1^9*T2 + 35*T2^2 - 234*T1*T2^2 + 532*T1^2*T2^2 - 106*T1^3*T2^2 - 
     1530*T1^4*T2^2 + 2454*T1^5*T2^2 - 1530*T1^6*T2^2 - 106*T1^7*T2^2 + 
     532*T1^8*T2^2 - 234*T1^9*T2^2 + 35*T1^10*T2^2 - 75*T2^3 + 360*T1*T2^3 - 
     106*T1^2*T2^3 - 2666*T1^3*T2^3 + 6230*T1^4*T2^3 - 3348*T1^5*T2^3 - 
     3348*T1^6*T2^3 + 6230*T1^7*T2^3 - 2666*T1^8*T2^3 - 106*T1^9*T2^3 + 
     360*T1^10*T2^3 - 75*T1^11*T2^3 + 95*T2^4 - 180*T1*T2^4 - 
     1530*T1^2*T2^4 + 6230*T1^3*T2^4 - 4724*T1^4*T2^4 - 12574*T1^5*T2^4 + 
     22570*T1^6*T2^4 - 12574*T1^7*T2^4 - 4724*T1^8*T2^4 + 6230*T1^9*T2^4 - 
     1530*T1^10*T2^4 - 180*T1^11*T2^4 + 95*T1^12*T2^4 - 75*T2^5 - 
     180*T1*T2^5 + 2454*T1^2*T2^5 - 3348*T1^3*T2^5 - 12574*T1^4*T2^5 + 
     38386*T1^5*T2^5 - 21107*T1^6*T2^5 - 21107*T1^7*T2^5 + 38386*T1^8*T2^5 - 
     12574*T1^9*T2^5 - 3348*T1^10*T2^5 + 2454*T1^11*T2^5 - 180*T1^12*T2^5 - 
     75*T1^13*T2^5 + 35*T2^6 + 360*T1*T2^6 - 1530*T1^2*T2^6 - 
     3348*T1^3*T2^6 + 22570*T1^4*T2^6 - 21107*T1^5*T2^6 - 46613*T1^6*T2^6 + 
     85787*T1^7*T2^6 - 46613*T1^8*T2^6 - 21107*T1^9*T2^6 + 22570*T1^10*T2^6 - 
     3348*T1^11*T2^6 - 1530*T1^12*T2^6 + 360*T1^13*T2^6 + 35*T1^14*T2^6 - 
     9*T2^7 - 234*T1*T2^7 - 106*T1^2*T2^7 + 6230*T1^3*T2^7 - 
     12574*T1^4*T2^7 - 21107*T1^5*T2^7 + 85787*T1^6*T2^7 - 48212*T1^7*T2^7 - 
     48212*T1^8*T2^7 + 85787*T1^9*T2^7 - 21107*T1^10*T2^7 - 
     12574*T1^11*T2^7 + 6230*T1^12*T2^7 - 106*T1^13*T2^7 - 234*T1^14*T2^7 - 
     9*T1^15*T2^7 + T2^8 + 72*T1*T2^8 + 532*T1^2*T2^8 - 2666*T1^3*T2^8 - 
     4724*T1^4*T2^8 + 38386*T1^5*T2^8 - 46613*T1^6*T2^8 - 48212*T1^7*T2^8 + 
     104364*T1^8*T2^8 - 48212*T1^9*T2^8 - 46613*T1^10*T2^8 + 
     38386*T1^11*T2^8 - 4724*T1^12*T2^8 - 2666*T1^13*T2^8 + 532*T1^14*T2^8 + 
     72*T1^15*T2^8 + T1^16*T2^8 - 9*T1*T2^9 - 234*T1^2*T2^9 - 106*T1^3*T2^9 + 
     6230*T1^4*T2^9 - 12574*T1^5*T2^9 - 21107*T1^6*T2^9 + 85787*T1^7*T2^9 - 
     48212*T1^8*T2^9 - 48212*T1^9*T2^9 + 85787*T1^10*T2^9 - 
     21107*T1^11*T2^9 - 12574*T1^12*T2^9 + 6230*T1^13*T2^9 - 106*T1^14*T2^9 - 
     234*T1^15*T2^9 - 9*T1^16*T2^9 + 35*T1^2*T2^10 + 360*T1^3*T2^10 - 
     1530*T1^4*T2^10 - 3348*T1^5*T2^10 + 22570*T1^6*T2^10 - 
     21107*T1^7*T2^10 - 46613*T1^8*T2^10 + 85787*T1^9*T2^10 - 
     46613*T1^10*T2^10 - 21107*T1^11*T2^10 + 22570*T1^12*T2^10 - 
     3348*T1^13*T2^10 - 1530*T1^14*T2^10 + 360*T1^15*T2^10 + 35*T1^16*T2^10 - 
     75*T1^3*T2^11 - 180*T1^4*T2^11 + 2454*T1^5*T2^11 - 3348*T1^6*T2^11 - 
     12574*T1^7*T2^11 + 38386*T1^8*T2^11 - 21107*T1^9*T2^11 - 
     21107*T1^10*T2^11 + 38386*T1^11*T2^11 - 12574*T1^12*T2^11 - 
     3348*T1^13*T2^11 + 2454*T1^14*T2^11 - 180*T1^15*T2^11 - 75*T1^16*T2^11 + 
     95*T1^4*T2^12 - 180*T1^5*T2^12 - 1530*T1^6*T2^12 + 6230*T1^7*T2^12 - 
     4724*T1^8*T2^12 - 12574*T1^9*T2^12 + 22570*T1^10*T2^12 - 
     12574*T1^11*T2^12 - 4724*T1^12*T2^12 + 6230*T1^13*T2^12 - 
     1530*T1^14*T2^12 - 180*T1^15*T2^12 + 95*T1^16*T2^12 - 75*T1^5*T2^13 + 
     360*T1^6*T2^13 - 106*T1^7*T2^13 - 2666*T1^8*T2^13 + 6230*T1^9*T2^13 - 
     3348*T1^10*T2^13 - 3348*T1^11*T2^13 + 6230*T1^12*T2^13 - 
     2666*T1^13*T2^13 - 106*T1^14*T2^13 + 360*T1^15*T2^13 - 75*T1^16*T2^13 + 
     35*T1^6*T2^14 - 234*T1^7*T2^14 + 532*T1^8*T2^14 - 106*T1^9*T2^14 - 
     1530*T1^10*T2^14 + 2454*T1^11*T2^14 - 1530*T1^12*T2^14 - 
     106*T1^13*T2^14 + 532*T1^14*T2^14 - 234*T1^15*T2^14 + 35*T1^16*T2^14 - 
     9*T1^7*T2^15 + 72*T1^8*T2^15 - 234*T1^9*T2^15 + 360*T1^10*T2^15 - 
     180*T1^11*T2^15 - 180*T1^12*T2^15 + 360*T1^13*T2^15 - 234*T1^14*T2^15 + 
     72*T1^15*T2^15 - 9*T1^16*T2^15 + T1^8*T2^16 - 9*T1^9*T2^16 + 
     35*T1^10*T2^16 - 75*T1^11*T2^16 + 95*T1^12*T2^16 - 75*T1^13*T2^16 + 
     35*T1^14*T2^16 - 9*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 
   -((T1 - 3*T1^2 + 2*T1^3 + 2*T1^4 - 3*T1^5 + T1^6 + T2 - 14*T1*T2 + 
      40*T1^2*T2 - 51*T1^3*T2 + 48*T1^4*T2 - 51*T1^5*T2 + 40*T1^6*T2 - 
      14*T1^7*T2 + T1^8*T2 - 3*T2^2 + 40*T1*T2^2 - 88*T1^2*T2^2 + 
      64*T1^3*T2^2 - 12*T1^4*T2^2 - 12*T1^5*T2^2 + 64*T1^6*T2^2 - 
      88*T1^7*T2^2 + 40*T1^8*T2^2 - 3*T1^9*T2^2 + 2*T2^3 - 51*T1*T2^3 + 
      64*T1^2*T2^3 + 74*T1^3*T2^3 - 233*T1^4*T2^3 + 256*T1^5*T2^3 - 
      233*T1^6*T2^3 + 74*T1^7*T2^3 + 64*T1^8*T2^3 - 51*T1^9*T2^3 + 
      2*T1^10*T2^3 + 2*T2^4 + 48*T1*T2^4 - 12*T1^2*T2^4 - 233*T1^3*T2^4 + 
      464*T1^4*T2^4 - 180*T1^5*T2^4 - 180*T1^6*T2^4 + 464*T1^7*T2^4 - 
      233*T1^8*T2^4 - 12*T1^9*T2^4 + 48*T1^10*T2^4 + 2*T1^11*T2^4 - 3*T2^5 - 
      51*T1*T2^5 - 12*T1^2*T2^5 + 256*T1^3*T2^5 - 180*T1^4*T2^5 - 
      944*T1^5*T2^5 + 1338*T1^6*T2^5 - 944*T1^7*T2^5 - 180*T1^8*T2^5 + 
      256*T1^9*T2^5 - 12*T1^10*T2^5 - 51*T1^11*T2^5 - 3*T1^12*T2^5 + T2^6 + 
      40*T1*T2^6 + 64*T1^2*T2^6 - 233*T1^3*T2^6 - 180*T1^4*T2^6 + 
      1338*T1^5*T2^6 - 542*T1^6*T2^6 - 542*T1^7*T2^6 + 1338*T1^8*T2^6 - 
      180*T1^9*T2^6 - 233*T1^10*T2^6 + 64*T1^11*T2^6 + 40*T1^12*T2^6 + 
      T1^13*T2^6 - 14*T1*T2^7 - 88*T1^2*T2^7 + 74*T1^3*T2^7 + 464*T1^4*T2^7 - 
      944*T1^5*T2^7 - 542*T1^6*T2^7 + 912*T1^7*T2^7 - 542*T1^8*T2^7 - 
      944*T1^9*T2^7 + 464*T1^10*T2^7 + 74*T1^11*T2^7 - 88*T1^12*T2^7 - 
      14*T1^13*T2^7 + T1*T2^8 + 40*T1^2*T2^8 + 64*T1^3*T2^8 - 233*T1^4*T2^8 - 
      180*T1^5*T2^8 + 1338*T1^6*T2^8 - 542*T1^7*T2^8 - 542*T1^8*T2^8 + 
      1338*T1^9*T2^8 - 180*T1^10*T2^8 - 233*T1^11*T2^8 + 64*T1^12*T2^8 + 
      40*T1^13*T2^8 + T1^14*T2^8 - 3*T1^2*T2^9 - 51*T1^3*T2^9 - 
      12*T1^4*T2^9 + 256*T1^5*T2^9 - 180*T1^6*T2^9 - 944*T1^7*T2^9 + 
      1338*T1^8*T2^9 - 944*T1^9*T2^9 - 180*T1^10*T2^9 + 256*T1^11*T2^9 - 
      12*T1^12*T2^9 - 51*T1^13*T2^9 - 3*T1^14*T2^9 + 2*T1^3*T2^10 + 
      48*T1^4*T2^10 - 12*T1^5*T2^10 - 233*T1^6*T2^10 + 464*T1^7*T2^10 - 
      180*T1^8*T2^10 - 180*T1^9*T2^10 + 464*T1^10*T2^10 - 233*T1^11*T2^10 - 
      12*T1^12*T2^10 + 48*T1^13*T2^10 + 2*T1^14*T2^10 + 2*T1^4*T2^11 - 
      51*T1^5*T2^11 + 64*T1^6*T2^11 + 74*T1^7*T2^11 - 233*T1^8*T2^11 + 
      256*T1^9*T2^11 - 233*T1^10*T2^11 + 74*T1^11*T2^11 + 64*T1^12*T2^11 - 
      51*T1^13*T2^11 + 2*T1^14*T2^11 - 3*T1^5*T2^12 + 40*T1^6*T2^12 - 
      88*T1^7*T2^12 + 64*T1^8*T2^12 - 12*T1^9*T2^12 - 12*T1^10*T2^12 + 
      64*T1^11*T2^12 - 88*T1^12*T2^12 + 40*T1^13*T2^12 - 3*T1^14*T2^12 + 
      T1^6*T2^13 - 14*T1^7*T2^13 + 40*T1^8*T2^13 - 51*T1^9*T2^13 + 
      48*T1^10*T2^13 - 51*T1^11*T2^13 + 40*T1^12*T2^13 - 14*T1^13*T2^13 + 
      T1^14*T2^13 + T1^8*T2^14 - 3*T1^9*T2^14 + 2*T1^10*T2^14 + 
      2*T1^11*T2^14 - 3*T1^12*T2^14 + T1^13*T2^14)/(T1^7*T2^7))}, 
 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), 
   (1 - 8*T1 + 28*T1^2 - 56*T1^3 + 69*T1^4 - 56*T1^5 + 28*T1^6 - 8*T1^7 + 
     T1^8 - 8*T2 + 56*T1*T2 - 160*T1^2*T2 + 224*T1^3*T2 - 104*T1^4*T2 - 
     104*T1^5*T2 + 224*T1^6*T2 - 160*T1^7*T2 + 56*T1^8*T2 - 8*T1^9*T2 + 
     28*T2^2 - 160*T1*T2^2 + 302*T1^2*T2^2 - 14*T1^3*T2^2 - 830*T1^4*T2^2 + 
     1234*T1^5*T2^2 - 830*T1^6*T2^2 - 14*T1^7*T2^2 + 302*T1^8*T2^2 - 
     160*T1^9*T2^2 + 28*T1^10*T2^2 - 56*T2^3 + 224*T1*T2^3 - 14*T1^2*T2^3 - 
     1320*T1^3*T2^3 + 2696*T1^4*T2^3 - 1286*T1^5*T2^3 - 1286*T1^6*T2^3 + 
     2696*T1^7*T2^3 - 1320*T1^8*T2^3 - 14*T1^9*T2^3 + 224*T1^10*T2^3 - 
     56*T1^11*T2^3 + 69*T2^4 - 104*T1*T2^4 - 830*T1^2*T2^4 + 2696*T1^3*T2^4 - 
     1765*T1^4*T2^4 - 4370*T1^5*T2^4 + 7189*T1^6*T2^4 - 4370*T1^7*T2^4 - 
     1765*T1^8*T2^4 + 2696*T1^9*T2^4 - 830*T1^10*T2^4 - 104*T1^11*T2^4 + 
     69*T1^12*T2^4 - 56*T2^5 - 104*T1*T2^5 + 1234*T1^2*T2^5 - 
     1286*T1^3*T2^5 - 4370*T1^4*T2^5 + 11694*T1^5*T2^5 - 5610*T1^6*T2^5 - 
     5610*T1^7*T2^5 + 11694*T1^8*T2^5 - 4370*T1^9*T2^5 - 1286*T1^10*T2^5 + 
     1234*T1^11*T2^5 - 104*T1^12*T2^5 - 56*T1^13*T2^5 + 28*T2^6 + 
     224*T1*T2^6 - 830*T1^2*T2^6 - 1286*T1^3*T2^6 + 7189*T1^4*T2^6 - 
     5610*T1^5*T2^6 - 12772*T1^6*T2^6 + 21238*T1^7*T2^6 - 12772*T1^8*T2^6 - 
     5610*T1^9*T2^6 + 7189*T1^10*T2^6 - 1286*T1^11*T2^6 - 830*T1^12*T2^6 + 
     224*T1^13*T2^6 + 28*T1^14*T2^6 - 8*T2^7 - 160*T1*T2^7 - 14*T1^2*T2^7 + 
     2696*T1^3*T2^7 - 4370*T1^4*T2^7 - 5610*T1^5*T2^7 + 21238*T1^6*T2^7 - 
     10596*T1^7*T2^7 - 10596*T1^8*T2^7 + 21238*T1^9*T2^7 - 5610*T1^10*T2^7 - 
     4370*T1^11*T2^7 + 2696*T1^12*T2^7 - 14*T1^13*T2^7 - 160*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 302*T1^2*T2^8 - 1320*T1^3*T2^8 - 
     1765*T1^4*T2^8 + 11694*T1^5*T2^8 - 12772*T1^6*T2^8 - 10596*T1^7*T2^8 + 
     21900*T1^8*T2^8 - 10596*T1^9*T2^8 - 12772*T1^10*T2^8 + 
     11694*T1^11*T2^8 - 1765*T1^12*T2^8 - 1320*T1^13*T2^8 + 302*T1^14*T2^8 + 
     56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 160*T1^2*T2^9 - 14*T1^3*T2^9 + 
     2696*T1^4*T2^9 - 4370*T1^5*T2^9 - 5610*T1^6*T2^9 + 21238*T1^7*T2^9 - 
     10596*T1^8*T2^9 - 10596*T1^9*T2^9 + 21238*T1^10*T2^9 - 5610*T1^11*T2^9 - 
     4370*T1^12*T2^9 + 2696*T1^13*T2^9 - 14*T1^14*T2^9 - 160*T1^15*T2^9 - 
     8*T1^16*T2^9 + 28*T1^2*T2^10 + 224*T1^3*T2^10 - 830*T1^4*T2^10 - 
     1286*T1^5*T2^10 + 7189*T1^6*T2^10 - 5610*T1^7*T2^10 - 12772*T1^8*T2^10 + 
     21238*T1^9*T2^10 - 12772*T1^10*T2^10 - 5610*T1^11*T2^10 + 
     7189*T1^12*T2^10 - 1286*T1^13*T2^10 - 830*T1^14*T2^10 + 
     224*T1^15*T2^10 + 28*T1^16*T2^10 - 56*T1^3*T2^11 - 104*T1^4*T2^11 + 
     1234*T1^5*T2^11 - 1286*T1^6*T2^11 - 4370*T1^7*T2^11 + 11694*T1^8*T2^11 - 
     5610*T1^9*T2^11 - 5610*T1^10*T2^11 + 11694*T1^11*T2^11 - 
     4370*T1^12*T2^11 - 1286*T1^13*T2^11 + 1234*T1^14*T2^11 - 
     104*T1^15*T2^11 - 56*T1^16*T2^11 + 69*T1^4*T2^12 - 104*T1^5*T2^12 - 
     830*T1^6*T2^12 + 2696*T1^7*T2^12 - 1765*T1^8*T2^12 - 4370*T1^9*T2^12 + 
     7189*T1^10*T2^12 - 4370*T1^11*T2^12 - 1765*T1^12*T2^12 + 
     2696*T1^13*T2^12 - 830*T1^14*T2^12 - 104*T1^15*T2^12 + 69*T1^16*T2^12 - 
     56*T1^5*T2^13 + 224*T1^6*T2^13 - 14*T1^7*T2^13 - 1320*T1^8*T2^13 + 
     2696*T1^9*T2^13 - 1286*T1^10*T2^13 - 1286*T1^11*T2^13 + 
     2696*T1^12*T2^13 - 1320*T1^13*T2^13 - 14*T1^14*T2^13 + 224*T1^15*T2^13 - 
     56*T1^16*T2^13 + 28*T1^6*T2^14 - 160*T1^7*T2^14 + 302*T1^8*T2^14 - 
     14*T1^9*T2^14 - 830*T1^10*T2^14 + 1234*T1^11*T2^14 - 830*T1^12*T2^14 - 
     14*T1^13*T2^14 + 302*T1^14*T2^14 - 160*T1^15*T2^14 + 28*T1^16*T2^14 - 
     8*T1^7*T2^15 + 56*T1^8*T2^15 - 160*T1^9*T2^15 + 224*T1^10*T2^15 - 
     104*T1^11*T2^15 - 104*T1^12*T2^15 + 224*T1^13*T2^15 - 160*T1^14*T2^15 + 
     56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 8*T1^9*T2^16 + 
     28*T1^10*T2^16 - 56*T1^11*T2^16 + 69*T1^12*T2^16 - 56*T1^13*T2^16 + 
     28*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 
   -((5 - 26*T1 + 57*T1^2 - 73*T1^3 + 57*T1^4 - 26*T1^5 + 5*T1^6 - 26*T2 + 
      110*T1*T2 - 167*T1^2*T2 + 88*T1^3*T2 + 88*T1^4*T2 - 167*T1^5*T2 + 
      110*T1^6*T2 - 26*T1^7*T2 + 57*T2^2 - 167*T1*T2^2 + 29*T1^2*T2^2 + 
      435*T1^3*T2^2 - 749*T1^4*T2^2 + 435*T1^5*T2^2 + 29*T1^6*T2^2 - 
      167*T1^7*T2^2 + 57*T1^8*T2^2 - 73*T2^3 + 88*T1*T2^3 + 435*T1^2*T2^3 - 
      1092*T1^3*T2^3 + 686*T1^4*T2^3 + 686*T1^5*T2^3 - 1092*T1^6*T2^3 + 
      435*T1^7*T2^3 + 88*T1^8*T2^3 - 73*T1^9*T2^3 + 57*T2^4 + 88*T1*T2^4 - 
      749*T1^2*T2^4 + 686*T1^3*T2^4 + 1204*T1^4*T2^4 - 2680*T1^5*T2^4 + 
      1204*T1^6*T2^4 + 686*T1^7*T2^4 - 749*T1^8*T2^4 + 88*T1^9*T2^4 + 
      57*T1^10*T2^4 - 26*T2^5 - 167*T1*T2^5 + 435*T1^2*T2^5 + 686*T1^3*T2^5 - 
      2680*T1^4*T2^5 + 1794*T1^5*T2^5 + 1794*T1^6*T2^5 - 2680*T1^7*T2^5 + 
      686*T1^8*T2^5 + 435*T1^9*T2^5 - 167*T1^10*T2^5 - 26*T1^11*T2^5 + 
      5*T2^6 + 110*T1*T2^6 + 29*T1^2*T2^6 - 1092*T1^3*T2^6 + 1204*T1^4*T2^6 + 
      1794*T1^5*T2^6 - 4164*T1^6*T2^6 + 1794*T1^7*T2^6 + 1204*T1^8*T2^6 - 
      1092*T1^9*T2^6 + 29*T1^10*T2^6 + 110*T1^11*T2^6 + 5*T1^12*T2^6 - 
      26*T1*T2^7 - 167*T1^2*T2^7 + 435*T1^3*T2^7 + 686*T1^4*T2^7 - 
      2680*T1^5*T2^7 + 1794*T1^6*T2^7 + 1794*T1^7*T2^7 - 2680*T1^8*T2^7 + 
      686*T1^9*T2^7 + 435*T1^10*T2^7 - 167*T1^11*T2^7 - 26*T1^12*T2^7 + 
      57*T1^2*T2^8 + 88*T1^3*T2^8 - 749*T1^4*T2^8 + 686*T1^5*T2^8 + 
      1204*T1^6*T2^8 - 2680*T1^7*T2^8 + 1204*T1^8*T2^8 + 686*T1^9*T2^8 - 
      749*T1^10*T2^8 + 88*T1^11*T2^8 + 57*T1^12*T2^8 - 73*T1^3*T2^9 + 
      88*T1^4*T2^9 + 435*T1^5*T2^9 - 1092*T1^6*T2^9 + 686*T1^7*T2^9 + 
      686*T1^8*T2^9 - 1092*T1^9*T2^9 + 435*T1^10*T2^9 + 88*T1^11*T2^9 - 
      73*T1^12*T2^9 + 57*T1^4*T2^10 - 167*T1^5*T2^10 + 29*T1^6*T2^10 + 
      435*T1^7*T2^10 - 749*T1^8*T2^10 + 435*T1^9*T2^10 + 29*T1^10*T2^10 - 
      167*T1^11*T2^10 + 57*T1^12*T2^10 - 26*T1^5*T2^11 + 110*T1^6*T2^11 - 
      167*T1^7*T2^11 + 88*T1^8*T2^11 + 88*T1^9*T2^11 - 167*T1^10*T2^11 + 
      110*T1^11*T2^11 - 26*T1^12*T2^11 + 5*T1^6*T2^12 - 26*T1^7*T2^12 + 
      57*T1^8*T2^12 - 73*T1^9*T2^12 + 57*T1^10*T2^12 - 26*T1^11*T2^12 + 
      5*T1^12*T2^12)/(T1^6*T2^6))}, 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), (1 - 8*T1 + 29*T1^2 - 58*T1^3 + 71*T1^4 - 58*T1^5 + 29*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 168*T1^2*T2 + 232*T1^3*T2 - 
     104*T1^4*T2 - 104*T1^5*T2 + 232*T1^6*T2 - 168*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 29*T2^2 - 168*T1*T2^2 + 357*T1^2*T2^2 - 44*T1^3*T2^2 - 
     859*T1^4*T2^2 + 1245*T1^5*T2^2 - 859*T1^6*T2^2 - 44*T1^7*T2^2 + 
     357*T1^8*T2^2 - 168*T1^9*T2^2 + 29*T1^10*T2^2 - 58*T2^3 + 232*T1*T2^3 - 
     44*T1^2*T2^3 - 1670*T1^3*T2^3 + 3301*T1^4*T2^3 - 1458*T1^5*T2^3 - 
     1458*T1^6*T2^3 + 3301*T1^7*T2^3 - 1670*T1^8*T2^3 - 44*T1^9*T2^3 + 
     232*T1^10*T2^3 - 58*T1^11*T2^3 + 71*T2^4 - 104*T1*T2^4 - 859*T1^2*T2^4 + 
     3301*T1^3*T2^4 - 1286*T1^4*T2^4 - 7739*T1^5*T2^4 + 11236*T1^6*T2^4 - 
     7739*T1^7*T2^4 - 1286*T1^8*T2^4 + 3301*T1^9*T2^4 - 859*T1^10*T2^4 - 
     104*T1^11*T2^4 + 71*T1^12*T2^4 - 58*T2^5 - 104*T1*T2^5 + 
     1245*T1^2*T2^5 - 1458*T1^3*T2^5 - 7739*T1^4*T2^5 + 18574*T1^5*T2^5 - 
     8103*T1^6*T2^5 - 8103*T1^7*T2^5 + 18574*T1^8*T2^5 - 7739*T1^9*T2^5 - 
     1458*T1^10*T2^5 + 1245*T1^11*T2^5 - 104*T1^12*T2^5 - 58*T1^13*T2^5 + 
     29*T2^6 + 232*T1*T2^6 - 859*T1^2*T2^6 - 1458*T1^3*T2^6 + 
     11236*T1^4*T2^6 - 8103*T1^5*T2^6 - 22205*T1^6*T2^6 + 33919*T1^7*T2^6 - 
     22205*T1^8*T2^6 - 8103*T1^9*T2^6 + 11236*T1^10*T2^6 - 1458*T1^11*T2^6 - 
     859*T1^12*T2^6 + 232*T1^13*T2^6 + 29*T1^14*T2^6 - 8*T2^7 - 168*T1*T2^7 - 
     44*T1^2*T2^7 + 3301*T1^3*T2^7 - 7739*T1^4*T2^7 - 8103*T1^5*T2^7 + 
     33919*T1^6*T2^7 - 15410*T1^7*T2^7 - 15410*T1^8*T2^7 + 33919*T1^9*T2^7 - 
     8103*T1^10*T2^7 - 7739*T1^11*T2^7 + 3301*T1^12*T2^7 - 44*T1^13*T2^7 - 
     168*T1^14*T2^7 - 8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 357*T1^2*T2^8 - 
     1670*T1^3*T2^8 - 1286*T1^4*T2^8 + 18574*T1^5*T2^8 - 22205*T1^6*T2^8 - 
     15410*T1^7*T2^8 + 30420*T1^8*T2^8 - 15410*T1^9*T2^8 - 22205*T1^10*T2^8 + 
     18574*T1^11*T2^8 - 1286*T1^12*T2^8 - 1670*T1^13*T2^8 + 357*T1^14*T2^8 + 
     56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 168*T1^2*T2^9 - 44*T1^3*T2^9 + 
     3301*T1^4*T2^9 - 7739*T1^5*T2^9 - 8103*T1^6*T2^9 + 33919*T1^7*T2^9 - 
     15410*T1^8*T2^9 - 15410*T1^9*T2^9 + 33919*T1^10*T2^9 - 8103*T1^11*T2^9 - 
     7739*T1^12*T2^9 + 3301*T1^13*T2^9 - 44*T1^14*T2^9 - 168*T1^15*T2^9 - 
     8*T1^16*T2^9 + 29*T1^2*T2^10 + 232*T1^3*T2^10 - 859*T1^4*T2^10 - 
     1458*T1^5*T2^10 + 11236*T1^6*T2^10 - 8103*T1^7*T2^10 - 
     22205*T1^8*T2^10 + 33919*T1^9*T2^10 - 22205*T1^10*T2^10 - 
     8103*T1^11*T2^10 + 11236*T1^12*T2^10 - 1458*T1^13*T2^10 - 
     859*T1^14*T2^10 + 232*T1^15*T2^10 + 29*T1^16*T2^10 - 58*T1^3*T2^11 - 
     104*T1^4*T2^11 + 1245*T1^5*T2^11 - 1458*T1^6*T2^11 - 7739*T1^7*T2^11 + 
     18574*T1^8*T2^11 - 8103*T1^9*T2^11 - 8103*T1^10*T2^11 + 
     18574*T1^11*T2^11 - 7739*T1^12*T2^11 - 1458*T1^13*T2^11 + 
     1245*T1^14*T2^11 - 104*T1^15*T2^11 - 58*T1^16*T2^11 + 71*T1^4*T2^12 - 
     104*T1^5*T2^12 - 859*T1^6*T2^12 + 3301*T1^7*T2^12 - 1286*T1^8*T2^12 - 
     7739*T1^9*T2^12 + 11236*T1^10*T2^12 - 7739*T1^11*T2^12 - 
     1286*T1^12*T2^12 + 3301*T1^13*T2^12 - 859*T1^14*T2^12 - 
     104*T1^15*T2^12 + 71*T1^16*T2^12 - 58*T1^5*T2^13 + 232*T1^6*T2^13 - 
     44*T1^7*T2^13 - 1670*T1^8*T2^13 + 3301*T1^9*T2^13 - 1458*T1^10*T2^13 - 
     1458*T1^11*T2^13 + 3301*T1^12*T2^13 - 1670*T1^13*T2^13 - 
     44*T1^14*T2^13 + 232*T1^15*T2^13 - 58*T1^16*T2^13 + 29*T1^6*T2^14 - 
     168*T1^7*T2^14 + 357*T1^8*T2^14 - 44*T1^9*T2^14 - 859*T1^10*T2^14 + 
     1245*T1^11*T2^14 - 859*T1^12*T2^14 - 44*T1^13*T2^14 + 357*T1^14*T2^14 - 
     168*T1^15*T2^14 + 29*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 
     168*T1^9*T2^15 + 232*T1^10*T2^15 - 104*T1^11*T2^15 - 104*T1^12*T2^15 + 
     232*T1^13*T2^15 - 168*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + 
     T1^8*T2^16 - 8*T1^9*T2^16 + 29*T1^10*T2^16 - 58*T1^11*T2^16 + 
     71*T1^12*T2^16 - 58*T1^13*T2^16 + 29*T1^14*T2^16 - 8*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, 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), -((1 - 7*T1 + 22*T1^2 - 37*T1^3 + 41*T1^4 - 37*T1^5 + 22*T1^6 - 
      7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 105*T1^2*T2 + 105*T1^3*T2 - 
      28*T1^4*T2 - 28*T1^5*T2 + 105*T1^6*T2 - 105*T1^7*T2 + 42*T1^8*T2 - 
      7*T1^9*T2 + 22*T2^2 - 105*T1*T2^2 + 162*T1^2*T2^2 + 109*T1^3*T2^2 - 
      433*T1^4*T2^2 + 404*T1^5*T2^2 - 433*T1^6*T2^2 + 109*T1^7*T2^2 + 
      162*T1^8*T2^2 - 105*T1^9*T2^2 + 22*T1^10*T2^2 - 37*T2^3 + 105*T1*T2^3 + 
      109*T1^2*T2^3 - 946*T1^3*T2^3 + 1062*T1^4*T2^3 - 138*T1^5*T2^3 - 
      138*T1^6*T2^3 + 1062*T1^7*T2^3 - 946*T1^8*T2^3 + 109*T1^9*T2^3 + 
      105*T1^10*T2^3 - 37*T1^11*T2^3 + 41*T2^4 - 28*T1*T2^4 - 433*T1^2*T2^4 + 
      1062*T1^3*T2^4 + 617*T1^4*T2^4 - 2880*T1^5*T2^4 + 2509*T1^6*T2^4 - 
      2880*T1^7*T2^4 + 617*T1^8*T2^4 + 1062*T1^9*T2^4 - 433*T1^10*T2^4 - 
      28*T1^11*T2^4 + 41*T1^12*T2^4 - 37*T2^5 - 28*T1*T2^5 + 404*T1^2*T2^5 - 
      138*T1^3*T2^5 - 2880*T1^4*T2^5 + 3928*T1^5*T2^5 - 650*T1^6*T2^5 - 
      650*T1^7*T2^5 + 3928*T1^8*T2^5 - 2880*T1^9*T2^5 - 138*T1^10*T2^5 + 
      404*T1^11*T2^5 - 28*T1^12*T2^5 - 37*T1^13*T2^5 + 22*T2^6 + 
      105*T1*T2^6 - 433*T1^2*T2^6 - 138*T1^3*T2^6 + 2509*T1^4*T2^6 - 
      650*T1^5*T2^6 - 4922*T1^6*T2^6 + 5612*T1^7*T2^6 - 4922*T1^8*T2^6 - 
      650*T1^9*T2^6 + 2509*T1^10*T2^6 - 138*T1^11*T2^6 - 433*T1^12*T2^6 + 
      105*T1^13*T2^6 + 22*T1^14*T2^6 - 7*T2^7 - 105*T1*T2^7 + 109*T1^2*T2^7 + 
      1062*T1^3*T2^7 - 2880*T1^4*T2^7 - 650*T1^5*T2^7 + 5612*T1^6*T2^7 - 
      2502*T1^7*T2^7 - 2502*T1^8*T2^7 + 5612*T1^9*T2^7 - 650*T1^10*T2^7 - 
      2880*T1^11*T2^7 + 1062*T1^12*T2^7 + 109*T1^13*T2^7 - 105*T1^14*T2^7 - 
      7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 162*T1^2*T2^8 - 946*T1^3*T2^8 + 
      617*T1^4*T2^8 + 3928*T1^5*T2^8 - 4922*T1^6*T2^8 - 2502*T1^7*T2^8 + 
      6084*T1^8*T2^8 - 2502*T1^9*T2^8 - 4922*T1^10*T2^8 + 3928*T1^11*T2^8 + 
      617*T1^12*T2^8 - 946*T1^13*T2^8 + 162*T1^14*T2^8 + 42*T1^15*T2^8 + 
      T1^16*T2^8 - 7*T1*T2^9 - 105*T1^2*T2^9 + 109*T1^3*T2^9 + 
      1062*T1^4*T2^9 - 2880*T1^5*T2^9 - 650*T1^6*T2^9 + 5612*T1^7*T2^9 - 
      2502*T1^8*T2^9 - 2502*T1^9*T2^9 + 5612*T1^10*T2^9 - 650*T1^11*T2^9 - 
      2880*T1^12*T2^9 + 1062*T1^13*T2^9 + 109*T1^14*T2^9 - 105*T1^15*T2^9 - 
      7*T1^16*T2^9 + 22*T1^2*T2^10 + 105*T1^3*T2^10 - 433*T1^4*T2^10 - 
      138*T1^5*T2^10 + 2509*T1^6*T2^10 - 650*T1^7*T2^10 - 4922*T1^8*T2^10 + 
      5612*T1^9*T2^10 - 4922*T1^10*T2^10 - 650*T1^11*T2^10 + 
      2509*T1^12*T2^10 - 138*T1^13*T2^10 - 433*T1^14*T2^10 + 
      105*T1^15*T2^10 + 22*T1^16*T2^10 - 37*T1^3*T2^11 - 28*T1^4*T2^11 + 
      404*T1^5*T2^11 - 138*T1^6*T2^11 - 2880*T1^7*T2^11 + 3928*T1^8*T2^11 - 
      650*T1^9*T2^11 - 650*T1^10*T2^11 + 3928*T1^11*T2^11 - 
      2880*T1^12*T2^11 - 138*T1^13*T2^11 + 404*T1^14*T2^11 - 28*T1^15*T2^11 - 
      37*T1^16*T2^11 + 41*T1^4*T2^12 - 28*T1^5*T2^12 - 433*T1^6*T2^12 + 
      1062*T1^7*T2^12 + 617*T1^8*T2^12 - 2880*T1^9*T2^12 + 2509*T1^10*T2^12 - 
      2880*T1^11*T2^12 + 617*T1^12*T2^12 + 1062*T1^13*T2^12 - 
      433*T1^14*T2^12 - 28*T1^15*T2^12 + 41*T1^16*T2^12 - 37*T1^5*T2^13 + 
      105*T1^6*T2^13 + 109*T1^7*T2^13 - 946*T1^8*T2^13 + 1062*T1^9*T2^13 - 
      138*T1^10*T2^13 - 138*T1^11*T2^13 + 1062*T1^12*T2^13 - 
      946*T1^13*T2^13 + 109*T1^14*T2^13 + 105*T1^15*T2^13 - 37*T1^16*T2^13 + 
      22*T1^6*T2^14 - 105*T1^7*T2^14 + 162*T1^8*T2^14 + 109*T1^9*T2^14 - 
      433*T1^10*T2^14 + 404*T1^11*T2^14 - 433*T1^12*T2^14 + 109*T1^13*T2^14 + 
      162*T1^14*T2^14 - 105*T1^15*T2^14 + 22*T1^16*T2^14 - 7*T1^7*T2^15 + 
      42*T1^8*T2^15 - 105*T1^9*T2^15 + 105*T1^10*T2^15 - 28*T1^11*T2^15 - 
      28*T1^12*T2^15 + 105*T1^13*T2^15 - 105*T1^14*T2^15 + 42*T1^15*T2^15 - 
      7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 22*T1^10*T2^16 - 
      37*T1^11*T2^16 + 41*T1^12*T2^16 - 37*T1^13*T2^16 + 22*T1^14*T2^16 - 
      7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 489] -> 
  {(3 - 20*T + 50*T^2 - 65*T^3 + 50*T^4 - 20*T^5 + 3*T^6)/T^3, 
   (30 - 199*T1 + 492*T1^2 - 634*T1^3 + 492*T1^4 - 199*T1^5 + 30*T1^6 - 
     199*T2 + 1122*T1*T2 - 1951*T1^2*T2 + 950*T1^3*T2 + 950*T1^4*T2 - 
     1951*T1^5*T2 + 1122*T1^6*T2 - 199*T1^7*T2 + 492*T2^2 - 1951*T1*T2^2 - 
     110*T1^2*T2^2 + 7837*T1^3*T2^2 - 11672*T1^4*T2^2 + 7837*T1^5*T2^2 - 
     110*T1^6*T2^2 - 1951*T1^7*T2^2 + 492*T1^8*T2^2 - 634*T2^3 + 
     950*T1*T2^3 + 7837*T1^2*T2^3 - 19114*T1^3*T2^3 + 9591*T1^4*T2^3 + 
     9591*T1^5*T2^3 - 19114*T1^6*T2^3 + 7837*T1^7*T2^3 + 950*T1^8*T2^3 - 
     634*T1^9*T2^3 + 492*T2^4 + 950*T1*T2^4 - 11672*T1^2*T2^4 + 
     9591*T1^3*T2^4 + 24441*T1^4*T2^4 - 41905*T1^5*T2^4 + 24441*T1^6*T2^4 + 
     9591*T1^7*T2^4 - 11672*T1^8*T2^4 + 950*T1^9*T2^4 + 492*T1^10*T2^4 - 
     199*T2^5 - 1951*T1*T2^5 + 7837*T1^2*T2^5 + 9591*T1^3*T2^5 - 
     41905*T1^4*T2^5 + 22378*T1^5*T2^5 + 22378*T1^6*T2^5 - 41905*T1^7*T2^5 + 
     9591*T1^8*T2^5 + 7837*T1^9*T2^5 - 1951*T1^10*T2^5 - 199*T1^11*T2^5 + 
     30*T2^6 + 1122*T1*T2^6 - 110*T1^2*T2^6 - 19114*T1^3*T2^6 + 
     24441*T1^4*T2^6 + 22378*T1^5*T2^6 - 47856*T1^6*T2^6 + 22378*T1^7*T2^6 + 
     24441*T1^8*T2^6 - 19114*T1^9*T2^6 - 110*T1^10*T2^6 + 1122*T1^11*T2^6 + 
     30*T1^12*T2^6 - 199*T1*T2^7 - 1951*T1^2*T2^7 + 7837*T1^3*T2^7 + 
     9591*T1^4*T2^7 - 41905*T1^5*T2^7 + 22378*T1^6*T2^7 + 22378*T1^7*T2^7 - 
     41905*T1^8*T2^7 + 9591*T1^9*T2^7 + 7837*T1^10*T2^7 - 1951*T1^11*T2^7 - 
     199*T1^12*T2^7 + 492*T1^2*T2^8 + 950*T1^3*T2^8 - 11672*T1^4*T2^8 + 
     9591*T1^5*T2^8 + 24441*T1^6*T2^8 - 41905*T1^7*T2^8 + 24441*T1^8*T2^8 + 
     9591*T1^9*T2^8 - 11672*T1^10*T2^8 + 950*T1^11*T2^8 + 492*T1^12*T2^8 - 
     634*T1^3*T2^9 + 950*T1^4*T2^9 + 7837*T1^5*T2^9 - 19114*T1^6*T2^9 + 
     9591*T1^7*T2^9 + 9591*T1^8*T2^9 - 19114*T1^9*T2^9 + 7837*T1^10*T2^9 + 
     950*T1^11*T2^9 - 634*T1^12*T2^9 + 492*T1^4*T2^10 - 1951*T1^5*T2^10 - 
     110*T1^6*T2^10 + 7837*T1^7*T2^10 - 11672*T1^8*T2^10 + 7837*T1^9*T2^10 - 
     110*T1^10*T2^10 - 1951*T1^11*T2^10 + 492*T1^12*T2^10 - 199*T1^5*T2^11 + 
     1122*T1^6*T2^11 - 1951*T1^7*T2^11 + 950*T1^8*T2^11 + 950*T1^9*T2^11 - 
     1951*T1^10*T2^11 + 1122*T1^11*T2^11 - 199*T1^12*T2^11 + 30*T1^6*T2^12 - 
     199*T1^7*T2^12 + 492*T1^8*T2^12 - 634*T1^9*T2^12 + 492*T1^10*T2^12 - 
     199*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 490] -> 
  {(7 - 25*T + 45*T^2 - 53*T^3 + 45*T^4 - 25*T^5 + 7*T^6)/T^3, 
   (1120 - 3900*T1 + 6896*T1^2 - 8054*T1^3 + 6896*T1^4 - 3900*T1^5 + 
     1120*T1^6 - 3900*T2 + 9794*T1*T2 - 10687*T1^2*T2 + 4187*T1^3*T2 + 
     4187*T1^4*T2 - 10687*T1^5*T2 + 9794*T1^6*T2 - 3900*T1^7*T2 + 6896*T2^2 - 
     10687*T1*T2^2 + 1910*T1^2*T2^2 + 11655*T1^3*T2^2 - 15412*T1^4*T2^2 + 
     11655*T1^5*T2^2 + 1910*T1^6*T2^2 - 10687*T1^7*T2^2 + 6896*T1^8*T2^2 - 
     8054*T2^3 + 4187*T1*T2^3 + 11655*T1^2*T2^3 - 18098*T1^3*T2^3 + 
     5598*T1^4*T2^3 + 5598*T1^5*T2^3 - 18098*T1^6*T2^3 + 11655*T1^7*T2^3 + 
     4187*T1^8*T2^3 - 8054*T1^9*T2^3 + 6896*T2^4 + 4187*T1*T2^4 - 
     15412*T1^2*T2^4 + 5598*T1^3*T2^4 + 14315*T1^4*T2^4 - 15077*T1^5*T2^4 + 
     14315*T1^6*T2^4 + 5598*T1^7*T2^4 - 15412*T1^8*T2^4 + 4187*T1^9*T2^4 + 
     6896*T1^10*T2^4 - 3900*T2^5 - 10687*T1*T2^5 + 11655*T1^2*T2^5 + 
     5598*T1^3*T2^5 - 15077*T1^4*T2^5 + 1514*T1^5*T2^5 + 1514*T1^6*T2^5 - 
     15077*T1^7*T2^5 + 5598*T1^8*T2^5 + 11655*T1^9*T2^5 - 10687*T1^10*T2^5 - 
     3900*T1^11*T2^5 + 1120*T2^6 + 9794*T1*T2^6 + 1910*T1^2*T2^6 - 
     18098*T1^3*T2^6 + 14315*T1^4*T2^6 + 1514*T1^5*T2^6 + 2940*T1^6*T2^6 + 
     1514*T1^7*T2^6 + 14315*T1^8*T2^6 - 18098*T1^9*T2^6 + 1910*T1^10*T2^6 + 
     9794*T1^11*T2^6 + 1120*T1^12*T2^6 - 3900*T1*T2^7 - 10687*T1^2*T2^7 + 
     11655*T1^3*T2^7 + 5598*T1^4*T2^7 - 15077*T1^5*T2^7 + 1514*T1^6*T2^7 + 
     1514*T1^7*T2^7 - 15077*T1^8*T2^7 + 5598*T1^9*T2^7 + 11655*T1^10*T2^7 - 
     10687*T1^11*T2^7 - 3900*T1^12*T2^7 + 6896*T1^2*T2^8 + 4187*T1^3*T2^8 - 
     15412*T1^4*T2^8 + 5598*T1^5*T2^8 + 14315*T1^6*T2^8 - 15077*T1^7*T2^8 + 
     14315*T1^8*T2^8 + 5598*T1^9*T2^8 - 15412*T1^10*T2^8 + 4187*T1^11*T2^8 + 
     6896*T1^12*T2^8 - 8054*T1^3*T2^9 + 4187*T1^4*T2^9 + 11655*T1^5*T2^9 - 
     18098*T1^6*T2^9 + 5598*T1^7*T2^9 + 5598*T1^8*T2^9 - 18098*T1^9*T2^9 + 
     11655*T1^10*T2^9 + 4187*T1^11*T2^9 - 8054*T1^12*T2^9 + 6896*T1^4*T2^10 - 
     10687*T1^5*T2^10 + 1910*T1^6*T2^10 + 11655*T1^7*T2^10 - 
     15412*T1^8*T2^10 + 11655*T1^9*T2^10 + 1910*T1^10*T2^10 - 
     10687*T1^11*T2^10 + 6896*T1^12*T2^10 - 3900*T1^5*T2^11 + 
     9794*T1^6*T2^11 - 10687*T1^7*T2^11 + 4187*T1^8*T2^11 + 4187*T1^9*T2^11 - 
     10687*T1^10*T2^11 + 9794*T1^11*T2^11 - 3900*T1^12*T2^11 + 
     1120*T1^6*T2^12 - 3900*T1^7*T2^12 + 6896*T1^8*T2^12 - 8054*T1^9*T2^12 + 
     6896*T1^10*T2^12 - 3900*T1^11*T2^12 + 1120*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 491] -> 
  {-((2 - 14*T + 42*T^2 - 61*T^3 + 42*T^4 - 14*T^5 + 2*T^6)/T^3), 
   -((1 - 7*T1 + 22*T1^2 - 33*T1^3 + 22*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 105*T1^2*T2 + 77*T1^3*T2 + 77*T1^4*T2 - 105*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 22*T2^2 - 105*T1*T2^2 + 171*T1^2*T2^2 + 
      115*T1^3*T2^2 - 479*T1^4*T2^2 + 115*T1^5*T2^2 + 171*T1^6*T2^2 - 
      105*T1^7*T2^2 + 22*T1^8*T2^2 - 33*T2^3 + 77*T1*T2^3 + 115*T1^2*T2^3 - 
      750*T1^3*T2^3 + 688*T1^4*T2^3 + 688*T1^5*T2^3 - 750*T1^6*T2^3 + 
      115*T1^7*T2^3 + 77*T1^8*T2^3 - 33*T1^9*T2^3 + 22*T2^4 + 77*T1*T2^4 - 
      479*T1^2*T2^4 + 688*T1^3*T2^4 + 407*T1^4*T2^4 - 1719*T1^5*T2^4 + 
      407*T1^6*T2^4 + 688*T1^7*T2^4 - 479*T1^8*T2^4 + 77*T1^9*T2^4 + 
      22*T1^10*T2^4 - 7*T2^5 - 105*T1*T2^5 + 115*T1^2*T2^5 + 688*T1^3*T2^5 - 
      1719*T1^4*T2^5 + 1160*T1^5*T2^5 + 1160*T1^6*T2^5 - 1719*T1^7*T2^5 + 
      688*T1^8*T2^5 + 115*T1^9*T2^5 - 105*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 + 171*T1^2*T2^6 - 750*T1^3*T2^6 + 407*T1^4*T2^6 + 
      1160*T1^5*T2^6 - 2280*T1^6*T2^6 + 1160*T1^7*T2^6 + 407*T1^8*T2^6 - 
      750*T1^9*T2^6 + 171*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 105*T1^2*T2^7 + 115*T1^3*T2^7 + 688*T1^4*T2^7 - 
      1719*T1^5*T2^7 + 1160*T1^6*T2^7 + 1160*T1^7*T2^7 - 1719*T1^8*T2^7 + 
      688*T1^9*T2^7 + 115*T1^10*T2^7 - 105*T1^11*T2^7 - 7*T1^12*T2^7 + 
      22*T1^2*T2^8 + 77*T1^3*T2^8 - 479*T1^4*T2^8 + 688*T1^5*T2^8 + 
      407*T1^6*T2^8 - 1719*T1^7*T2^8 + 407*T1^8*T2^8 + 688*T1^9*T2^8 - 
      479*T1^10*T2^8 + 77*T1^11*T2^8 + 22*T1^12*T2^8 - 33*T1^3*T2^9 + 
      77*T1^4*T2^9 + 115*T1^5*T2^9 - 750*T1^6*T2^9 + 688*T1^7*T2^9 + 
      688*T1^8*T2^9 - 750*T1^9*T2^9 + 115*T1^10*T2^9 + 77*T1^11*T2^9 - 
      33*T1^12*T2^9 + 22*T1^4*T2^10 - 105*T1^5*T2^10 + 171*T1^6*T2^10 + 
      115*T1^7*T2^10 - 479*T1^8*T2^10 + 115*T1^9*T2^10 + 171*T1^10*T2^10 - 
      105*T1^11*T2^10 + 22*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      105*T1^7*T2^11 + 77*T1^8*T2^11 + 77*T1^9*T2^11 - 105*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      22*T1^8*T2^12 - 33*T1^9*T2^12 + 22*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 492] -> 
  {-((2 - 15*T + 47*T^2 - 69*T^3 + 47*T^4 - 15*T^5 + 2*T^6)/T^3), 
   -((1 - 7*T1 + 22*T1^2 - 33*T1^3 + 22*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 105*T1^2*T2 + 77*T1^3*T2 + 77*T1^4*T2 - 105*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 22*T2^2 - 105*T1*T2^2 + 179*T1^2*T2^2 + 
      68*T1^3*T2^2 - 401*T1^4*T2^2 + 68*T1^5*T2^2 + 179*T1^6*T2^2 - 
      105*T1^7*T2^2 + 22*T1^8*T2^2 - 33*T2^3 + 77*T1*T2^3 + 68*T1^2*T2^3 - 
      548*T1^3*T2^3 + 531*T1^4*T2^3 + 531*T1^5*T2^3 - 548*T1^6*T2^3 + 
      68*T1^7*T2^3 + 77*T1^8*T2^3 - 33*T1^9*T2^3 + 22*T2^4 + 77*T1*T2^4 - 
      401*T1^2*T2^4 + 531*T1^3*T2^4 - 94*T1^4*T2^4 - 532*T1^5*T2^4 - 
      94*T1^6*T2^4 + 531*T1^7*T2^4 - 401*T1^8*T2^4 + 77*T1^9*T2^4 + 
      22*T1^10*T2^4 - 7*T2^5 - 105*T1*T2^5 + 68*T1^2*T2^5 + 531*T1^3*T2^5 - 
      532*T1^4*T2^5 + 140*T1^5*T2^5 + 140*T1^6*T2^5 - 532*T1^7*T2^5 + 
      531*T1^8*T2^5 + 68*T1^9*T2^5 - 105*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 + 179*T1^2*T2^6 - 548*T1^3*T2^6 - 94*T1^4*T2^6 + 
      140*T1^5*T2^6 + 444*T1^6*T2^6 + 140*T1^7*T2^6 - 94*T1^8*T2^6 - 
      548*T1^9*T2^6 + 179*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 105*T1^2*T2^7 + 68*T1^3*T2^7 + 531*T1^4*T2^7 - 
      532*T1^5*T2^7 + 140*T1^6*T2^7 + 140*T1^7*T2^7 - 532*T1^8*T2^7 + 
      531*T1^9*T2^7 + 68*T1^10*T2^7 - 105*T1^11*T2^7 - 7*T1^12*T2^7 + 
      22*T1^2*T2^8 + 77*T1^3*T2^8 - 401*T1^4*T2^8 + 531*T1^5*T2^8 - 
      94*T1^6*T2^8 - 532*T1^7*T2^8 - 94*T1^8*T2^8 + 531*T1^9*T2^8 - 
      401*T1^10*T2^8 + 77*T1^11*T2^8 + 22*T1^12*T2^8 - 33*T1^3*T2^9 + 
      77*T1^4*T2^9 + 68*T1^5*T2^9 - 548*T1^6*T2^9 + 531*T1^7*T2^9 + 
      531*T1^8*T2^9 - 548*T1^9*T2^9 + 68*T1^10*T2^9 + 77*T1^11*T2^9 - 
      33*T1^12*T2^9 + 22*T1^4*T2^10 - 105*T1^5*T2^10 + 179*T1^6*T2^10 + 
      68*T1^7*T2^10 - 401*T1^8*T2^10 + 68*T1^9*T2^10 + 179*T1^10*T2^10 - 
      105*T1^11*T2^10 + 22*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      105*T1^7*T2^11 + 77*T1^8*T2^11 + 77*T1^9*T2^11 - 105*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      22*T1^8*T2^12 - 33*T1^9*T2^12 + 22*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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), -((1 - 7*T1 + 22*T1^2 - 36*T1^3 + 39*T1^4 - 36*T1^5 + 22*T1^6 - 
      7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 105*T1^2*T2 + 98*T1^3*T2 - 
      21*T1^4*T2 - 21*T1^5*T2 + 98*T1^6*T2 - 105*T1^7*T2 + 42*T1^8*T2 - 
      7*T1^9*T2 + 22*T2^2 - 105*T1*T2^2 + 162*T1^2*T2^2 + 129*T1^3*T2^2 - 
      426*T1^4*T2^2 + 350*T1^5*T2^2 - 426*T1^6*T2^2 + 129*T1^7*T2^2 + 
      162*T1^8*T2^2 - 105*T1^9*T2^2 + 22*T1^10*T2^2 - 36*T2^3 + 98*T1*T2^3 + 
      129*T1^2*T2^3 - 1006*T1^3*T2^3 + 1013*T1^4*T2^3 - 43*T1^5*T2^3 - 
      43*T1^6*T2^3 + 1013*T1^7*T2^3 - 1006*T1^8*T2^3 + 129*T1^9*T2^3 + 
      98*T1^10*T2^3 - 36*T1^11*T2^3 + 39*T2^4 - 21*T1*T2^4 - 426*T1^2*T2^4 + 
      1013*T1^3*T2^4 + 958*T1^4*T2^4 - 3167*T1^5*T2^4 + 2476*T1^6*T2^4 - 
      3167*T1^7*T2^4 + 958*T1^8*T2^4 + 1013*T1^9*T2^4 - 426*T1^10*T2^4 - 
      21*T1^11*T2^4 + 39*T1^12*T2^4 - 36*T2^5 - 21*T1*T2^5 + 350*T1^2*T2^5 - 
      43*T1^3*T2^5 - 3167*T1^4*T2^5 + 3826*T1^5*T2^5 - 315*T1^6*T2^5 - 
      315*T1^7*T2^5 + 3826*T1^8*T2^5 - 3167*T1^9*T2^5 - 43*T1^10*T2^5 + 
      350*T1^11*T2^5 - 21*T1^12*T2^5 - 36*T1^13*T2^5 + 22*T2^6 + 98*T1*T2^6 - 
      426*T1^2*T2^6 - 43*T1^3*T2^6 + 2476*T1^4*T2^6 - 315*T1^5*T2^6 - 
      5002*T1^6*T2^6 + 5010*T1^7*T2^6 - 5002*T1^8*T2^6 - 315*T1^9*T2^6 + 
      2476*T1^10*T2^6 - 43*T1^11*T2^6 - 426*T1^12*T2^6 + 98*T1^13*T2^6 + 
      22*T1^14*T2^6 - 7*T2^7 - 105*T1*T2^7 + 129*T1^2*T2^7 + 1013*T1^3*T2^7 - 
      3167*T1^4*T2^7 - 315*T1^5*T2^7 + 5010*T1^6*T2^7 - 1946*T1^7*T2^7 - 
      1946*T1^8*T2^7 + 5010*T1^9*T2^7 - 315*T1^10*T2^7 - 3167*T1^11*T2^7 + 
      1013*T1^12*T2^7 + 129*T1^13*T2^7 - 105*T1^14*T2^7 - 7*T1^15*T2^7 + 
      T2^8 + 42*T1*T2^8 + 162*T1^2*T2^8 - 1006*T1^3*T2^8 + 958*T1^4*T2^8 + 
      3826*T1^5*T2^8 - 5002*T1^6*T2^8 - 1946*T1^7*T2^8 + 4836*T1^8*T2^8 - 
      1946*T1^9*T2^8 - 5002*T1^10*T2^8 + 3826*T1^11*T2^8 + 958*T1^12*T2^8 - 
      1006*T1^13*T2^8 + 162*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 
      7*T1*T2^9 - 105*T1^2*T2^9 + 129*T1^3*T2^9 + 1013*T1^4*T2^9 - 
      3167*T1^5*T2^9 - 315*T1^6*T2^9 + 5010*T1^7*T2^9 - 1946*T1^8*T2^9 - 
      1946*T1^9*T2^9 + 5010*T1^10*T2^9 - 315*T1^11*T2^9 - 3167*T1^12*T2^9 + 
      1013*T1^13*T2^9 + 129*T1^14*T2^9 - 105*T1^15*T2^9 - 7*T1^16*T2^9 + 
      22*T1^2*T2^10 + 98*T1^3*T2^10 - 426*T1^4*T2^10 - 43*T1^5*T2^10 + 
      2476*T1^6*T2^10 - 315*T1^7*T2^10 - 5002*T1^8*T2^10 + 5010*T1^9*T2^10 - 
      5002*T1^10*T2^10 - 315*T1^11*T2^10 + 2476*T1^12*T2^10 - 
      43*T1^13*T2^10 - 426*T1^14*T2^10 + 98*T1^15*T2^10 + 22*T1^16*T2^10 - 
      36*T1^3*T2^11 - 21*T1^4*T2^11 + 350*T1^5*T2^11 - 43*T1^6*T2^11 - 
      3167*T1^7*T2^11 + 3826*T1^8*T2^11 - 315*T1^9*T2^11 - 315*T1^10*T2^11 + 
      3826*T1^11*T2^11 - 3167*T1^12*T2^11 - 43*T1^13*T2^11 + 
      350*T1^14*T2^11 - 21*T1^15*T2^11 - 36*T1^16*T2^11 + 39*T1^4*T2^12 - 
      21*T1^5*T2^12 - 426*T1^6*T2^12 + 1013*T1^7*T2^12 + 958*T1^8*T2^12 - 
      3167*T1^9*T2^12 + 2476*T1^10*T2^12 - 3167*T1^11*T2^12 + 
      958*T1^12*T2^12 + 1013*T1^13*T2^12 - 426*T1^14*T2^12 - 21*T1^15*T2^12 + 
      39*T1^16*T2^12 - 36*T1^5*T2^13 + 98*T1^6*T2^13 + 129*T1^7*T2^13 - 
      1006*T1^8*T2^13 + 1013*T1^9*T2^13 - 43*T1^10*T2^13 - 43*T1^11*T2^13 + 
      1013*T1^12*T2^13 - 1006*T1^13*T2^13 + 129*T1^14*T2^13 + 
      98*T1^15*T2^13 - 36*T1^16*T2^13 + 22*T1^6*T2^14 - 105*T1^7*T2^14 + 
      162*T1^8*T2^14 + 129*T1^9*T2^14 - 426*T1^10*T2^14 + 350*T1^11*T2^14 - 
      426*T1^12*T2^14 + 129*T1^13*T2^14 + 162*T1^14*T2^14 - 105*T1^15*T2^14 + 
      22*T1^16*T2^14 - 7*T1^7*T2^15 + 42*T1^8*T2^15 - 105*T1^9*T2^15 + 
      98*T1^10*T2^15 - 21*T1^11*T2^15 - 21*T1^12*T2^15 + 98*T1^13*T2^15 - 
      105*T1^14*T2^15 + 42*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 
      7*T1^9*T2^16 + 22*T1^10*T2^16 - 36*T1^11*T2^16 + 39*T1^12*T2^16 - 
      36*T1^13*T2^16 + 22*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 494] -> 
  {-((2 - 15*T + 48*T^2 - 71*T^3 + 48*T^4 - 15*T^5 + 2*T^6)/T^3), 
   -((1 - 7*T1 + 22*T1^2 - 33*T1^3 + 22*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 105*T1^2*T2 + 77*T1^3*T2 + 77*T1^4*T2 - 105*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 22*T2^2 - 105*T1*T2^2 + 177*T1^2*T2^2 + 
      44*T1^3*T2^2 - 347*T1^4*T2^2 + 44*T1^5*T2^2 + 177*T1^6*T2^2 - 
      105*T1^7*T2^2 + 22*T1^8*T2^2 - 33*T2^3 + 77*T1*T2^3 + 44*T1^2*T2^3 - 
      346*T1^3*T2^3 + 345*T1^4*T2^3 + 345*T1^5*T2^3 - 346*T1^6*T2^3 + 
      44*T1^7*T2^3 + 77*T1^8*T2^3 - 33*T1^9*T2^3 + 22*T2^4 + 77*T1*T2^4 - 
      347*T1^2*T2^4 + 345*T1^3*T2^4 - 715*T1^4*T2^4 + 1029*T1^5*T2^4 - 
      715*T1^6*T2^4 + 345*T1^7*T2^4 - 347*T1^8*T2^4 + 77*T1^9*T2^4 + 
      22*T1^10*T2^4 - 7*T2^5 - 105*T1*T2^5 + 44*T1^2*T2^5 + 345*T1^3*T2^5 + 
      1029*T1^4*T2^5 - 1266*T1^5*T2^5 - 1266*T1^6*T2^5 + 1029*T1^7*T2^5 + 
      345*T1^8*T2^5 + 44*T1^9*T2^5 - 105*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 + 177*T1^2*T2^6 - 346*T1^3*T2^6 - 715*T1^4*T2^6 - 
      1266*T1^5*T2^6 + 4236*T1^6*T2^6 - 1266*T1^7*T2^6 - 715*T1^8*T2^6 - 
      346*T1^9*T2^6 + 177*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 105*T1^2*T2^7 + 44*T1^3*T2^7 + 345*T1^4*T2^7 + 
      1029*T1^5*T2^7 - 1266*T1^6*T2^7 - 1266*T1^7*T2^7 + 1029*T1^8*T2^7 + 
      345*T1^9*T2^7 + 44*T1^10*T2^7 - 105*T1^11*T2^7 - 7*T1^12*T2^7 + 
      22*T1^2*T2^8 + 77*T1^3*T2^8 - 347*T1^4*T2^8 + 345*T1^5*T2^8 - 
      715*T1^6*T2^8 + 1029*T1^7*T2^8 - 715*T1^8*T2^8 + 345*T1^9*T2^8 - 
      347*T1^10*T2^8 + 77*T1^11*T2^8 + 22*T1^12*T2^8 - 33*T1^3*T2^9 + 
      77*T1^4*T2^9 + 44*T1^5*T2^9 - 346*T1^6*T2^9 + 345*T1^7*T2^9 + 
      345*T1^8*T2^9 - 346*T1^9*T2^9 + 44*T1^10*T2^9 + 77*T1^11*T2^9 - 
      33*T1^12*T2^9 + 22*T1^4*T2^10 - 105*T1^5*T2^10 + 177*T1^6*T2^10 + 
      44*T1^7*T2^10 - 347*T1^8*T2^10 + 44*T1^9*T2^10 + 177*T1^10*T2^10 - 
      105*T1^11*T2^10 + 22*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      105*T1^7*T2^11 + 77*T1^8*T2^11 + 77*T1^9*T2^11 - 105*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      22*T1^8*T2^12 - 33*T1^9*T2^12 + 22*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   (17 - 92*T1 + 246*T1^2 - 402*T1^3 + 471*T1^4 - 402*T1^5 + 246*T1^6 - 
     92*T1^7 + 17*T1^8 - 92*T2 + 408*T1*T2 - 843*T1^2*T2 + 862*T1^3*T2 - 
     383*T1^4*T2 - 383*T1^5*T2 + 862*T1^6*T2 - 843*T1^7*T2 + 408*T1^8*T2 - 
     92*T1^9*T2 + 246*T2^2 - 843*T1*T2^2 + 1131*T1^2*T2^2 + 90*T1^3*T2^2 - 
     1600*T1^4*T2^2 + 2457*T1^5*T2^2 - 1600*T1^6*T2^2 + 90*T1^7*T2^2 + 
     1131*T1^8*T2^2 - 843*T1^9*T2^2 + 246*T1^10*T2^2 - 402*T2^3 + 
     862*T1*T2^3 + 90*T1^2*T2^3 - 3250*T1^3*T2^3 + 3896*T1^4*T2^3 - 
     2052*T1^5*T2^3 - 2052*T1^6*T2^3 + 3896*T1^7*T2^3 - 3250*T1^8*T2^3 + 
     90*T1^9*T2^3 + 862*T1^10*T2^3 - 402*T1^11*T2^3 + 471*T2^4 - 
     383*T1*T2^4 - 1600*T1^2*T2^4 + 3896*T1^3*T2^4 + 1111*T1^4*T2^4 - 
     6802*T1^5*T2^4 + 10815*T1^6*T2^4 - 6802*T1^7*T2^4 + 1111*T1^8*T2^4 + 
     3896*T1^9*T2^4 - 1600*T1^10*T2^4 - 383*T1^11*T2^4 + 471*T1^12*T2^4 - 
     402*T2^5 - 383*T1*T2^5 + 2457*T1^2*T2^5 - 2052*T1^3*T2^5 - 
     6802*T1^4*T2^5 + 8490*T1^5*T2^5 - 5298*T1^6*T2^5 - 5298*T1^7*T2^5 + 
     8490*T1^8*T2^5 - 6802*T1^9*T2^5 - 2052*T1^10*T2^5 + 2457*T1^11*T2^5 - 
     383*T1^12*T2^5 - 402*T1^13*T2^5 + 246*T2^6 + 862*T1*T2^6 - 
     1600*T1^2*T2^6 - 2052*T1^3*T2^6 + 10815*T1^4*T2^6 - 5298*T1^5*T2^6 - 
     643*T1^6*T2^6 + 7603*T1^7*T2^6 - 643*T1^8*T2^6 - 5298*T1^9*T2^6 + 
     10815*T1^10*T2^6 - 2052*T1^11*T2^6 - 1600*T1^12*T2^6 + 862*T1^13*T2^6 + 
     246*T1^14*T2^6 - 92*T2^7 - 843*T1*T2^7 + 90*T1^2*T2^7 + 3896*T1^3*T2^7 - 
     6802*T1^4*T2^7 - 5298*T1^5*T2^7 + 7603*T1^6*T2^7 - 6400*T1^7*T2^7 - 
     6400*T1^8*T2^7 + 7603*T1^9*T2^7 - 5298*T1^10*T2^7 - 6802*T1^11*T2^7 + 
     3896*T1^12*T2^7 + 90*T1^13*T2^7 - 843*T1^14*T2^7 - 92*T1^15*T2^7 + 
     17*T2^8 + 408*T1*T2^8 + 1131*T1^2*T2^8 - 3250*T1^3*T2^8 + 
     1111*T1^4*T2^8 + 8490*T1^5*T2^8 - 643*T1^6*T2^8 - 6400*T1^7*T2^8 + 
     15276*T1^8*T2^8 - 6400*T1^9*T2^8 - 643*T1^10*T2^8 + 8490*T1^11*T2^8 + 
     1111*T1^12*T2^8 - 3250*T1^13*T2^8 + 1131*T1^14*T2^8 + 408*T1^15*T2^8 + 
     17*T1^16*T2^8 - 92*T1*T2^9 - 843*T1^2*T2^9 + 90*T1^3*T2^9 + 
     3896*T1^4*T2^9 - 6802*T1^5*T2^9 - 5298*T1^6*T2^9 + 7603*T1^7*T2^9 - 
     6400*T1^8*T2^9 - 6400*T1^9*T2^9 + 7603*T1^10*T2^9 - 5298*T1^11*T2^9 - 
     6802*T1^12*T2^9 + 3896*T1^13*T2^9 + 90*T1^14*T2^9 - 843*T1^15*T2^9 - 
     92*T1^16*T2^9 + 246*T1^2*T2^10 + 862*T1^3*T2^10 - 1600*T1^4*T2^10 - 
     2052*T1^5*T2^10 + 10815*T1^6*T2^10 - 5298*T1^7*T2^10 - 643*T1^8*T2^10 + 
     7603*T1^9*T2^10 - 643*T1^10*T2^10 - 5298*T1^11*T2^10 + 
     10815*T1^12*T2^10 - 2052*T1^13*T2^10 - 1600*T1^14*T2^10 + 
     862*T1^15*T2^10 + 246*T1^16*T2^10 - 402*T1^3*T2^11 - 383*T1^4*T2^11 + 
     2457*T1^5*T2^11 - 2052*T1^6*T2^11 - 6802*T1^7*T2^11 + 8490*T1^8*T2^11 - 
     5298*T1^9*T2^11 - 5298*T1^10*T2^11 + 8490*T1^11*T2^11 - 
     6802*T1^12*T2^11 - 2052*T1^13*T2^11 + 2457*T1^14*T2^11 - 
     383*T1^15*T2^11 - 402*T1^16*T2^11 + 471*T1^4*T2^12 - 383*T1^5*T2^12 - 
     1600*T1^6*T2^12 + 3896*T1^7*T2^12 + 1111*T1^8*T2^12 - 6802*T1^9*T2^12 + 
     10815*T1^10*T2^12 - 6802*T1^11*T2^12 + 1111*T1^12*T2^12 + 
     3896*T1^13*T2^12 - 1600*T1^14*T2^12 - 383*T1^15*T2^12 + 
     471*T1^16*T2^12 - 402*T1^5*T2^13 + 862*T1^6*T2^13 + 90*T1^7*T2^13 - 
     3250*T1^8*T2^13 + 3896*T1^9*T2^13 - 2052*T1^10*T2^13 - 
     2052*T1^11*T2^13 + 3896*T1^12*T2^13 - 3250*T1^13*T2^13 + 
     90*T1^14*T2^13 + 862*T1^15*T2^13 - 402*T1^16*T2^13 + 246*T1^6*T2^14 - 
     843*T1^7*T2^14 + 1131*T1^8*T2^14 + 90*T1^9*T2^14 - 1600*T1^10*T2^14 + 
     2457*T1^11*T2^14 - 1600*T1^12*T2^14 + 90*T1^13*T2^14 + 
     1131*T1^14*T2^14 - 843*T1^15*T2^14 + 246*T1^16*T2^14 - 92*T1^7*T2^15 + 
     408*T1^8*T2^15 - 843*T1^9*T2^15 + 862*T1^10*T2^15 - 383*T1^11*T2^15 - 
     383*T1^12*T2^15 + 862*T1^13*T2^15 - 843*T1^14*T2^15 + 408*T1^15*T2^15 - 
     92*T1^16*T2^15 + 17*T1^8*T2^16 - 92*T1^9*T2^16 + 246*T1^10*T2^16 - 
     402*T1^11*T2^16 + 471*T1^12*T2^16 - 402*T1^13*T2^16 + 246*T1^14*T2^16 - 
     92*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8)}, 
 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), -((9 - 53*T1 + 139*T1^2 - 237*T1^3 + 279*T1^4 - 237*T1^5 + 
      139*T1^6 - 53*T1^7 + 9*T1^8 - 53*T2 + 260*T1*T2 - 510*T1^2*T2 + 
      582*T1^3*T2 - 250*T1^4*T2 - 250*T1^5*T2 + 582*T1^6*T2 - 510*T1^7*T2 + 
      260*T1^8*T2 - 53*T1^9*T2 + 139*T2^2 - 510*T1*T2^2 + 452*T1^2*T2^2 + 
      369*T1^3*T2^2 - 1840*T1^4*T2^2 + 2464*T1^5*T2^2 - 1840*T1^6*T2^2 + 
      369*T1^7*T2^2 + 452*T1^8*T2^2 - 510*T1^9*T2^2 + 139*T1^10*T2^2 - 
      237*T2^3 + 582*T1*T2^3 + 369*T1^2*T2^3 - 1978*T1^3*T2^3 + 
      3197*T1^4*T2^3 - 1382*T1^5*T2^3 - 1382*T1^6*T2^3 + 3197*T1^7*T2^3 - 
      1978*T1^8*T2^3 + 369*T1^9*T2^3 + 582*T1^10*T2^3 - 237*T1^11*T2^3 + 
      279*T2^4 - 250*T1*T2^4 - 1840*T1^2*T2^4 + 3197*T1^3*T2^4 - 
      2904*T1^4*T2^4 - 1202*T1^5*T2^4 + 2652*T1^6*T2^4 - 1202*T1^7*T2^4 - 
      2904*T1^8*T2^4 + 3197*T1^9*T2^4 - 1840*T1^10*T2^4 - 250*T1^11*T2^4 + 
      279*T1^12*T2^4 - 237*T2^5 - 250*T1*T2^5 + 2464*T1^2*T2^5 - 
      1382*T1^3*T2^5 - 1202*T1^4*T2^5 + 5616*T1^5*T2^5 - 2281*T1^6*T2^5 - 
      2281*T1^7*T2^5 + 5616*T1^8*T2^5 - 1202*T1^9*T2^5 - 1382*T1^10*T2^5 + 
      2464*T1^11*T2^5 - 250*T1^12*T2^5 - 237*T1^13*T2^5 + 139*T2^6 + 
      582*T1*T2^6 - 1840*T1^2*T2^6 - 1382*T1^3*T2^6 + 2652*T1^4*T2^6 - 
      2281*T1^5*T2^6 - 7128*T1^6*T2^6 + 9920*T1^7*T2^6 - 7128*T1^8*T2^6 - 
      2281*T1^9*T2^6 + 2652*T1^10*T2^6 - 1382*T1^11*T2^6 - 1840*T1^12*T2^6 + 
      582*T1^13*T2^6 + 139*T1^14*T2^6 - 53*T2^7 - 510*T1*T2^7 + 
      369*T1^2*T2^7 + 3197*T1^3*T2^7 - 1202*T1^4*T2^7 - 2281*T1^5*T2^7 + 
      9920*T1^6*T2^7 - 3848*T1^7*T2^7 - 3848*T1^8*T2^7 + 9920*T1^9*T2^7 - 
      2281*T1^10*T2^7 - 1202*T1^11*T2^7 + 3197*T1^12*T2^7 + 369*T1^13*T2^7 - 
      510*T1^14*T2^7 - 53*T1^15*T2^7 + 9*T2^8 + 260*T1*T2^8 + 452*T1^2*T2^8 - 
      1978*T1^3*T2^8 - 2904*T1^4*T2^8 + 5616*T1^5*T2^8 - 7128*T1^6*T2^8 - 
      3848*T1^7*T2^8 + 6852*T1^8*T2^8 - 3848*T1^9*T2^8 - 7128*T1^10*T2^8 + 
      5616*T1^11*T2^8 - 2904*T1^12*T2^8 - 1978*T1^13*T2^8 + 452*T1^14*T2^8 + 
      260*T1^15*T2^8 + 9*T1^16*T2^8 - 53*T1*T2^9 - 510*T1^2*T2^9 + 
      369*T1^3*T2^9 + 3197*T1^4*T2^9 - 1202*T1^5*T2^9 - 2281*T1^6*T2^9 + 
      9920*T1^7*T2^9 - 3848*T1^8*T2^9 - 3848*T1^9*T2^9 + 9920*T1^10*T2^9 - 
      2281*T1^11*T2^9 - 1202*T1^12*T2^9 + 3197*T1^13*T2^9 + 369*T1^14*T2^9 - 
      510*T1^15*T2^9 - 53*T1^16*T2^9 + 139*T1^2*T2^10 + 582*T1^3*T2^10 - 
      1840*T1^4*T2^10 - 1382*T1^5*T2^10 + 2652*T1^6*T2^10 - 2281*T1^7*T2^10 - 
      7128*T1^8*T2^10 + 9920*T1^9*T2^10 - 7128*T1^10*T2^10 - 
      2281*T1^11*T2^10 + 2652*T1^12*T2^10 - 1382*T1^13*T2^10 - 
      1840*T1^14*T2^10 + 582*T1^15*T2^10 + 139*T1^16*T2^10 - 237*T1^3*T2^11 - 
      250*T1^4*T2^11 + 2464*T1^5*T2^11 - 1382*T1^6*T2^11 - 1202*T1^7*T2^11 + 
      5616*T1^8*T2^11 - 2281*T1^9*T2^11 - 2281*T1^10*T2^11 + 
      5616*T1^11*T2^11 - 1202*T1^12*T2^11 - 1382*T1^13*T2^11 + 
      2464*T1^14*T2^11 - 250*T1^15*T2^11 - 237*T1^16*T2^11 + 279*T1^4*T2^12 - 
      250*T1^5*T2^12 - 1840*T1^6*T2^12 + 3197*T1^7*T2^12 - 2904*T1^8*T2^12 - 
      1202*T1^9*T2^12 + 2652*T1^10*T2^12 - 1202*T1^11*T2^12 - 
      2904*T1^12*T2^12 + 3197*T1^13*T2^12 - 1840*T1^14*T2^12 - 
      250*T1^15*T2^12 + 279*T1^16*T2^12 - 237*T1^5*T2^13 + 582*T1^6*T2^13 + 
      369*T1^7*T2^13 - 1978*T1^8*T2^13 + 3197*T1^9*T2^13 - 1382*T1^10*T2^13 - 
      1382*T1^11*T2^13 + 3197*T1^12*T2^13 - 1978*T1^13*T2^13 + 
      369*T1^14*T2^13 + 582*T1^15*T2^13 - 237*T1^16*T2^13 + 139*T1^6*T2^14 - 
      510*T1^7*T2^14 + 452*T1^8*T2^14 + 369*T1^9*T2^14 - 1840*T1^10*T2^14 + 
      2464*T1^11*T2^14 - 1840*T1^12*T2^14 + 369*T1^13*T2^14 + 
      452*T1^14*T2^14 - 510*T1^15*T2^14 + 139*T1^16*T2^14 - 53*T1^7*T2^15 + 
      260*T1^8*T2^15 - 510*T1^9*T2^15 + 582*T1^10*T2^15 - 250*T1^11*T2^15 - 
      250*T1^12*T2^15 + 582*T1^13*T2^15 - 510*T1^14*T2^15 + 260*T1^15*T2^15 - 
      53*T1^16*T2^15 + 9*T1^8*T2^16 - 53*T1^9*T2^16 + 139*T1^10*T2^16 - 
      237*T1^11*T2^16 + 279*T1^12*T2^16 - 237*T1^13*T2^16 + 139*T1^14*T2^16 - 
      53*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8))}, 
 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*T1 - 14*T1^2 + 22*T1^3 - 14*T1^4 + 4*T1^5 + 4*T2 - 36*T1*T2 + 
      78*T1^2*T2 - 52*T1^3*T2 - 52*T1^4*T2 + 78*T1^5*T2 - 36*T1^6*T2 + 
      4*T1^7*T2 - 14*T2^2 + 78*T1*T2^2 - 51*T1^2*T2^2 - 231*T1^3*T2^2 + 
      459*T1^4*T2^2 - 231*T1^5*T2^2 - 51*T1^6*T2^2 + 78*T1^7*T2^2 - 
      14*T1^8*T2^2 + 22*T2^3 - 52*T1*T2^3 - 231*T1^2*T2^3 + 746*T1^3*T2^3 - 
      476*T1^4*T2^3 - 476*T1^5*T2^3 + 746*T1^6*T2^3 - 231*T1^7*T2^3 - 
      52*T1^8*T2^3 + 22*T1^9*T2^3 - 14*T2^4 - 52*T1*T2^4 + 459*T1^2*T2^4 - 
      476*T1^3*T2^4 - 977*T1^4*T2^4 + 1941*T1^5*T2^4 - 977*T1^6*T2^4 - 
      476*T1^7*T2^4 + 459*T1^8*T2^4 - 52*T1^9*T2^4 - 14*T1^10*T2^4 + 4*T2^5 + 
      78*T1*T2^5 - 231*T1^2*T2^5 - 476*T1^3*T2^5 + 1941*T1^4*T2^5 - 
      1110*T1^5*T2^5 - 1110*T1^6*T2^5 + 1941*T1^7*T2^5 - 476*T1^8*T2^5 - 
      231*T1^9*T2^5 + 78*T1^10*T2^5 + 4*T1^11*T2^5 - 36*T1*T2^6 - 
      51*T1^2*T2^6 + 746*T1^3*T2^6 - 977*T1^4*T2^6 - 1110*T1^5*T2^6 + 
      2328*T1^6*T2^6 - 1110*T1^7*T2^6 - 977*T1^8*T2^6 + 746*T1^9*T2^6 - 
      51*T1^10*T2^6 - 36*T1^11*T2^6 + 4*T1*T2^7 + 78*T1^2*T2^7 - 
      231*T1^3*T2^7 - 476*T1^4*T2^7 + 1941*T1^5*T2^7 - 1110*T1^6*T2^7 - 
      1110*T1^7*T2^7 + 1941*T1^8*T2^7 - 476*T1^9*T2^7 - 231*T1^10*T2^7 + 
      78*T1^11*T2^7 + 4*T1^12*T2^7 - 14*T1^2*T2^8 - 52*T1^3*T2^8 + 
      459*T1^4*T2^8 - 476*T1^5*T2^8 - 977*T1^6*T2^8 + 1941*T1^7*T2^8 - 
      977*T1^8*T2^8 - 476*T1^9*T2^8 + 459*T1^10*T2^8 - 52*T1^11*T2^8 - 
      14*T1^12*T2^8 + 22*T1^3*T2^9 - 52*T1^4*T2^9 - 231*T1^5*T2^9 + 
      746*T1^6*T2^9 - 476*T1^7*T2^9 - 476*T1^8*T2^9 + 746*T1^9*T2^9 - 
      231*T1^10*T2^9 - 52*T1^11*T2^9 + 22*T1^12*T2^9 - 14*T1^4*T2^10 + 
      78*T1^5*T2^10 - 51*T1^6*T2^10 - 231*T1^7*T2^10 + 459*T1^8*T2^10 - 
      231*T1^9*T2^10 - 51*T1^10*T2^10 + 78*T1^11*T2^10 - 14*T1^12*T2^10 + 
      4*T1^5*T2^11 - 36*T1^6*T2^11 + 78*T1^7*T2^11 - 52*T1^8*T2^11 - 
      52*T1^9*T2^11 + 78*T1^10*T2^11 - 36*T1^11*T2^11 + 4*T1^12*T2^11 + 
      4*T1^7*T2^12 - 14*T1^8*T2^12 + 22*T1^9*T2^12 - 14*T1^10*T2^12 + 
      4*T1^11*T2^12)/(T1^6*T2^6))}, 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), 
   -((1 - 7*T1 + 23*T1^2 - 45*T1^3 + 55*T1^4 - 45*T1^5 + 23*T1^6 - 7*T1^7 + 
      T1^8 - 7*T2 + 42*T1*T2 - 112*T1^2*T2 + 154*T1^3*T2 - 70*T1^4*T2 - 
      70*T1^5*T2 + 154*T1^6*T2 - 112*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 
      23*T2^2 - 112*T1*T2^2 + 209*T1^2*T2^2 - 65*T1^3*T2^2 - 425*T1^4*T2^2 + 
      647*T1^5*T2^2 - 425*T1^6*T2^2 - 65*T1^7*T2^2 + 209*T1^8*T2^2 - 
      112*T1^9*T2^2 + 23*T1^10*T2^2 - 45*T2^3 + 154*T1*T2^3 - 65*T1^2*T2^3 - 
      632*T1^3*T2^3 + 1456*T1^4*T2^3 - 676*T1^5*T2^3 - 676*T1^6*T2^3 + 
      1456*T1^7*T2^3 - 632*T1^8*T2^3 - 65*T1^9*T2^3 + 154*T1^10*T2^3 - 
      45*T1^11*T2^3 + 55*T2^4 - 70*T1*T2^4 - 425*T1^2*T2^4 + 1456*T1^3*T2^4 - 
      1156*T1^4*T2^4 - 2308*T1^5*T2^4 + 3800*T1^6*T2^4 - 2308*T1^7*T2^4 - 
      1156*T1^8*T2^4 + 1456*T1^9*T2^4 - 425*T1^10*T2^4 - 70*T1^11*T2^4 + 
      55*T1^12*T2^4 - 45*T2^5 - 70*T1*T2^5 + 647*T1^2*T2^5 - 676*T1^3*T2^5 - 
      2308*T1^4*T2^5 + 6824*T1^5*T2^5 - 3220*T1^6*T2^5 - 3220*T1^7*T2^5 + 
      6824*T1^8*T2^5 - 2308*T1^9*T2^5 - 676*T1^10*T2^5 + 647*T1^11*T2^5 - 
      70*T1^12*T2^5 - 45*T1^13*T2^5 + 23*T2^6 + 154*T1*T2^6 - 425*T1^2*T2^6 - 
      676*T1^3*T2^6 + 3800*T1^4*T2^6 - 3220*T1^5*T2^6 - 8166*T1^6*T2^6 + 
      13280*T1^7*T2^6 - 8166*T1^8*T2^6 - 3220*T1^9*T2^6 + 3800*T1^10*T2^6 - 
      676*T1^11*T2^6 - 425*T1^12*T2^6 + 154*T1^13*T2^6 + 23*T1^14*T2^6 - 
      7*T2^7 - 112*T1*T2^7 - 65*T1^2*T2^7 + 1456*T1^3*T2^7 - 2308*T1^4*T2^7 - 
      3220*T1^5*T2^7 + 13280*T1^6*T2^7 - 6580*T1^7*T2^7 - 6580*T1^8*T2^7 + 
      13280*T1^9*T2^7 - 3220*T1^10*T2^7 - 2308*T1^11*T2^7 + 1456*T1^12*T2^7 - 
      65*T1^13*T2^7 - 112*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 
      209*T1^2*T2^8 - 632*T1^3*T2^8 - 1156*T1^4*T2^8 + 6824*T1^5*T2^8 - 
      8166*T1^6*T2^8 - 6580*T1^7*T2^8 + 13596*T1^8*T2^8 - 6580*T1^9*T2^8 - 
      8166*T1^10*T2^8 + 6824*T1^11*T2^8 - 1156*T1^12*T2^8 - 632*T1^13*T2^8 + 
      209*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 
      112*T1^2*T2^9 - 65*T1^3*T2^9 + 1456*T1^4*T2^9 - 2308*T1^5*T2^9 - 
      3220*T1^6*T2^9 + 13280*T1^7*T2^9 - 6580*T1^8*T2^9 - 6580*T1^9*T2^9 + 
      13280*T1^10*T2^9 - 3220*T1^11*T2^9 - 2308*T1^12*T2^9 + 
      1456*T1^13*T2^9 - 65*T1^14*T2^9 - 112*T1^15*T2^9 - 7*T1^16*T2^9 + 
      23*T1^2*T2^10 + 154*T1^3*T2^10 - 425*T1^4*T2^10 - 676*T1^5*T2^10 + 
      3800*T1^6*T2^10 - 3220*T1^7*T2^10 - 8166*T1^8*T2^10 + 
      13280*T1^9*T2^10 - 8166*T1^10*T2^10 - 3220*T1^11*T2^10 + 
      3800*T1^12*T2^10 - 676*T1^13*T2^10 - 425*T1^14*T2^10 + 
      154*T1^15*T2^10 + 23*T1^16*T2^10 - 45*T1^3*T2^11 - 70*T1^4*T2^11 + 
      647*T1^5*T2^11 - 676*T1^6*T2^11 - 2308*T1^7*T2^11 + 6824*T1^8*T2^11 - 
      3220*T1^9*T2^11 - 3220*T1^10*T2^11 + 6824*T1^11*T2^11 - 
      2308*T1^12*T2^11 - 676*T1^13*T2^11 + 647*T1^14*T2^11 - 70*T1^15*T2^11 - 
      45*T1^16*T2^11 + 55*T1^4*T2^12 - 70*T1^5*T2^12 - 425*T1^6*T2^12 + 
      1456*T1^7*T2^12 - 1156*T1^8*T2^12 - 2308*T1^9*T2^12 + 
      3800*T1^10*T2^12 - 2308*T1^11*T2^12 - 1156*T1^12*T2^12 + 
      1456*T1^13*T2^12 - 425*T1^14*T2^12 - 70*T1^15*T2^12 + 55*T1^16*T2^12 - 
      45*T1^5*T2^13 + 154*T1^6*T2^13 - 65*T1^7*T2^13 - 632*T1^8*T2^13 + 
      1456*T1^9*T2^13 - 676*T1^10*T2^13 - 676*T1^11*T2^13 + 
      1456*T1^12*T2^13 - 632*T1^13*T2^13 - 65*T1^14*T2^13 + 154*T1^15*T2^13 - 
      45*T1^16*T2^13 + 23*T1^6*T2^14 - 112*T1^7*T2^14 + 209*T1^8*T2^14 - 
      65*T1^9*T2^14 - 425*T1^10*T2^14 + 647*T1^11*T2^14 - 425*T1^12*T2^14 - 
      65*T1^13*T2^14 + 209*T1^14*T2^14 - 112*T1^15*T2^14 + 23*T1^16*T2^14 - 
      7*T1^7*T2^15 + 42*T1^8*T2^15 - 112*T1^9*T2^15 + 154*T1^10*T2^15 - 
      70*T1^11*T2^15 - 70*T1^12*T2^15 + 154*T1^13*T2^15 - 112*T1^14*T2^15 + 
      42*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 
      23*T1^10*T2^16 - 45*T1^11*T2^16 + 55*T1^12*T2^16 - 45*T1^13*T2^16 + 
      23*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   0}, 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), -((1 - 7*T1 + 21*T1^2 - 35*T1^3 + 39*T1^4 - 35*T1^5 + 21*T1^6 - 
      7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 98*T1^2*T2 + 98*T1^3*T2 - 
      28*T1^4*T2 - 28*T1^5*T2 + 98*T1^6*T2 - 98*T1^7*T2 + 42*T1^8*T2 - 
      7*T1^9*T2 + 21*T2^2 - 98*T1*T2^2 + 119*T1^2*T2^2 + 151*T1^3*T2^2 - 
      471*T1^4*T2^2 + 465*T1^5*T2^2 - 471*T1^6*T2^2 + 151*T1^7*T2^2 + 
      119*T1^8*T2^2 - 98*T1^9*T2^2 + 21*T1^10*T2^2 - 35*T2^3 + 98*T1*T2^3 + 
      151*T1^2*T2^3 - 904*T1^3*T2^3 + 1026*T1^4*T2^3 - 158*T1^5*T2^3 - 
      158*T1^6*T2^3 + 1026*T1^7*T2^3 - 904*T1^8*T2^3 + 151*T1^9*T2^3 + 
      98*T1^10*T2^3 - 35*T1^11*T2^3 + 39*T2^4 - 28*T1*T2^4 - 471*T1^2*T2^4 + 
      1026*T1^3*T2^4 + 429*T1^4*T2^4 - 2583*T1^5*T2^4 + 2253*T1^6*T2^4 - 
      2583*T1^7*T2^4 + 429*T1^8*T2^4 + 1026*T1^9*T2^4 - 471*T1^10*T2^4 - 
      28*T1^11*T2^4 + 39*T1^12*T2^4 - 35*T2^5 - 28*T1*T2^5 + 465*T1^2*T2^5 - 
      158*T1^3*T2^5 - 2583*T1^4*T2^5 + 3730*T1^5*T2^5 - 548*T1^6*T2^5 - 
      548*T1^7*T2^5 + 3730*T1^8*T2^5 - 2583*T1^9*T2^5 - 158*T1^10*T2^5 + 
      465*T1^11*T2^5 - 28*T1^12*T2^5 - 35*T1^13*T2^5 + 21*T2^6 + 98*T1*T2^6 - 
      471*T1^2*T2^6 - 158*T1^3*T2^6 + 2253*T1^4*T2^6 - 548*T1^5*T2^6 - 
      4767*T1^6*T2^6 + 4827*T1^7*T2^6 - 4767*T1^8*T2^6 - 548*T1^9*T2^6 + 
      2253*T1^10*T2^6 - 158*T1^11*T2^6 - 471*T1^12*T2^6 + 98*T1^13*T2^6 + 
      21*T1^14*T2^6 - 7*T2^7 - 98*T1*T2^7 + 151*T1^2*T2^7 + 1026*T1^3*T2^7 - 
      2583*T1^4*T2^7 - 548*T1^5*T2^7 + 4827*T1^6*T2^7 - 1458*T1^7*T2^7 - 
      1458*T1^8*T2^7 + 4827*T1^9*T2^7 - 548*T1^10*T2^7 - 2583*T1^11*T2^7 + 
      1026*T1^12*T2^7 + 151*T1^13*T2^7 - 98*T1^14*T2^7 - 7*T1^15*T2^7 + 
      T2^8 + 42*T1*T2^8 + 119*T1^2*T2^8 - 904*T1^3*T2^8 + 429*T1^4*T2^8 + 
      3730*T1^5*T2^8 - 4767*T1^6*T2^8 - 1458*T1^7*T2^8 + 2928*T1^8*T2^8 - 
      1458*T1^9*T2^8 - 4767*T1^10*T2^8 + 3730*T1^11*T2^8 + 429*T1^12*T2^8 - 
      904*T1^13*T2^8 + 119*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 
      7*T1*T2^9 - 98*T1^2*T2^9 + 151*T1^3*T2^9 + 1026*T1^4*T2^9 - 
      2583*T1^5*T2^9 - 548*T1^6*T2^9 + 4827*T1^7*T2^9 - 1458*T1^8*T2^9 - 
      1458*T1^9*T2^9 + 4827*T1^10*T2^9 - 548*T1^11*T2^9 - 2583*T1^12*T2^9 + 
      1026*T1^13*T2^9 + 151*T1^14*T2^9 - 98*T1^15*T2^9 - 7*T1^16*T2^9 + 
      21*T1^2*T2^10 + 98*T1^3*T2^10 - 471*T1^4*T2^10 - 158*T1^5*T2^10 + 
      2253*T1^6*T2^10 - 548*T1^7*T2^10 - 4767*T1^8*T2^10 + 4827*T1^9*T2^10 - 
      4767*T1^10*T2^10 - 548*T1^11*T2^10 + 2253*T1^12*T2^10 - 
      158*T1^13*T2^10 - 471*T1^14*T2^10 + 98*T1^15*T2^10 + 21*T1^16*T2^10 - 
      35*T1^3*T2^11 - 28*T1^4*T2^11 + 465*T1^5*T2^11 - 158*T1^6*T2^11 - 
      2583*T1^7*T2^11 + 3730*T1^8*T2^11 - 548*T1^9*T2^11 - 548*T1^10*T2^11 + 
      3730*T1^11*T2^11 - 2583*T1^12*T2^11 - 158*T1^13*T2^11 + 
      465*T1^14*T2^11 - 28*T1^15*T2^11 - 35*T1^16*T2^11 + 39*T1^4*T2^12 - 
      28*T1^5*T2^12 - 471*T1^6*T2^12 + 1026*T1^7*T2^12 + 429*T1^8*T2^12 - 
      2583*T1^9*T2^12 + 2253*T1^10*T2^12 - 2583*T1^11*T2^12 + 
      429*T1^12*T2^12 + 1026*T1^13*T2^12 - 471*T1^14*T2^12 - 28*T1^15*T2^12 + 
      39*T1^16*T2^12 - 35*T1^5*T2^13 + 98*T1^6*T2^13 + 151*T1^7*T2^13 - 
      904*T1^8*T2^13 + 1026*T1^9*T2^13 - 158*T1^10*T2^13 - 158*T1^11*T2^13 + 
      1026*T1^12*T2^13 - 904*T1^13*T2^13 + 151*T1^14*T2^13 + 98*T1^15*T2^13 - 
      35*T1^16*T2^13 + 21*T1^6*T2^14 - 98*T1^7*T2^14 + 119*T1^8*T2^14 + 
      151*T1^9*T2^14 - 471*T1^10*T2^14 + 465*T1^11*T2^14 - 471*T1^12*T2^14 + 
      151*T1^13*T2^14 + 119*T1^14*T2^14 - 98*T1^15*T2^14 + 21*T1^16*T2^14 - 
      7*T1^7*T2^15 + 42*T1^8*T2^15 - 98*T1^9*T2^15 + 98*T1^10*T2^15 - 
      28*T1^11*T2^15 - 28*T1^12*T2^15 + 98*T1^13*T2^15 - 98*T1^14*T2^15 + 
      42*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 
      21*T1^10*T2^16 - 35*T1^11*T2^16 + 39*T1^12*T2^16 - 35*T1^13*T2^16 + 
      21*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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), -((1 - 7*T1 + 23*T1^2 - 43*T1^3 + 51*T1^4 - 43*T1^5 + 23*T1^6 - 
      7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 112*T1^2*T2 + 140*T1^3*T2 - 
      56*T1^4*T2 - 56*T1^5*T2 + 140*T1^6*T2 - 112*T1^7*T2 + 42*T1^8*T2 - 
      7*T1^9*T2 + 23*T2^2 - 112*T1*T2^2 + 209*T1^2*T2^2 - 21*T1^3*T2^2 - 
      417*T1^4*T2^2 + 543*T1^5*T2^2 - 417*T1^6*T2^2 - 21*T1^7*T2^2 + 
      209*T1^8*T2^2 - 112*T1^9*T2^2 + 23*T1^10*T2^2 - 43*T2^3 + 140*T1*T2^3 - 
      21*T1^2*T2^3 - 792*T1^3*T2^3 + 1402*T1^4*T2^3 - 494*T1^5*T2^3 - 
      494*T1^6*T2^3 + 1402*T1^7*T2^3 - 792*T1^8*T2^3 - 21*T1^9*T2^3 + 
      140*T1^10*T2^3 - 43*T1^11*T2^3 + 51*T2^4 - 56*T1*T2^4 - 417*T1^2*T2^4 + 
      1402*T1^3*T2^4 - 368*T1^4*T2^4 - 3128*T1^5*T2^4 + 3942*T1^6*T2^4 - 
      3128*T1^7*T2^4 - 368*T1^8*T2^4 + 1402*T1^9*T2^4 - 417*T1^10*T2^4 - 
      56*T1^11*T2^4 + 51*T1^12*T2^4 - 43*T2^5 - 56*T1*T2^5 + 543*T1^2*T2^5 - 
      494*T1^3*T2^5 - 3128*T1^4*T2^5 + 6704*T1^5*T2^5 - 2400*T1^6*T2^5 - 
      2400*T1^7*T2^5 + 6704*T1^8*T2^5 - 3128*T1^9*T2^5 - 494*T1^10*T2^5 + 
      543*T1^11*T2^5 - 56*T1^12*T2^5 - 43*T1^13*T2^5 + 23*T2^6 + 
      140*T1*T2^6 - 417*T1^2*T2^6 - 494*T1^3*T2^6 + 3942*T1^4*T2^6 - 
      2400*T1^5*T2^6 - 8081*T1^6*T2^6 + 11021*T1^7*T2^6 - 8081*T1^8*T2^6 - 
      2400*T1^9*T2^6 + 3942*T1^10*T2^6 - 494*T1^11*T2^6 - 417*T1^12*T2^6 + 
      140*T1^13*T2^6 + 23*T1^14*T2^6 - 7*T2^7 - 112*T1*T2^7 - 21*T1^2*T2^7 + 
      1402*T1^3*T2^7 - 3128*T1^4*T2^7 - 2400*T1^5*T2^7 + 11021*T1^6*T2^7 - 
      4498*T1^7*T2^7 - 4498*T1^8*T2^7 + 11021*T1^9*T2^7 - 2400*T1^10*T2^7 - 
      3128*T1^11*T2^7 + 1402*T1^12*T2^7 - 21*T1^13*T2^7 - 112*T1^14*T2^7 - 
      7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 209*T1^2*T2^8 - 792*T1^3*T2^8 - 
      368*T1^4*T2^8 + 6704*T1^5*T2^8 - 8081*T1^6*T2^8 - 4498*T1^7*T2^8 + 
      8712*T1^8*T2^8 - 4498*T1^9*T2^8 - 8081*T1^10*T2^8 + 6704*T1^11*T2^8 - 
      368*T1^12*T2^8 - 792*T1^13*T2^8 + 209*T1^14*T2^8 + 42*T1^15*T2^8 + 
      T1^16*T2^8 - 7*T1*T2^9 - 112*T1^2*T2^9 - 21*T1^3*T2^9 + 
      1402*T1^4*T2^9 - 3128*T1^5*T2^9 - 2400*T1^6*T2^9 + 11021*T1^7*T2^9 - 
      4498*T1^8*T2^9 - 4498*T1^9*T2^9 + 11021*T1^10*T2^9 - 2400*T1^11*T2^9 - 
      3128*T1^12*T2^9 + 1402*T1^13*T2^9 - 21*T1^14*T2^9 - 112*T1^15*T2^9 - 
      7*T1^16*T2^9 + 23*T1^2*T2^10 + 140*T1^3*T2^10 - 417*T1^4*T2^10 - 
      494*T1^5*T2^10 + 3942*T1^6*T2^10 - 2400*T1^7*T2^10 - 8081*T1^8*T2^10 + 
      11021*T1^9*T2^10 - 8081*T1^10*T2^10 - 2400*T1^11*T2^10 + 
      3942*T1^12*T2^10 - 494*T1^13*T2^10 - 417*T1^14*T2^10 + 
      140*T1^15*T2^10 + 23*T1^16*T2^10 - 43*T1^3*T2^11 - 56*T1^4*T2^11 + 
      543*T1^5*T2^11 - 494*T1^6*T2^11 - 3128*T1^7*T2^11 + 6704*T1^8*T2^11 - 
      2400*T1^9*T2^11 - 2400*T1^10*T2^11 + 6704*T1^11*T2^11 - 
      3128*T1^12*T2^11 - 494*T1^13*T2^11 + 543*T1^14*T2^11 - 56*T1^15*T2^11 - 
      43*T1^16*T2^11 + 51*T1^4*T2^12 - 56*T1^5*T2^12 - 417*T1^6*T2^12 + 
      1402*T1^7*T2^12 - 368*T1^8*T2^12 - 3128*T1^9*T2^12 + 3942*T1^10*T2^12 - 
      3128*T1^11*T2^12 - 368*T1^12*T2^12 + 1402*T1^13*T2^12 - 
      417*T1^14*T2^12 - 56*T1^15*T2^12 + 51*T1^16*T2^12 - 43*T1^5*T2^13 + 
      140*T1^6*T2^13 - 21*T1^7*T2^13 - 792*T1^8*T2^13 + 1402*T1^9*T2^13 - 
      494*T1^10*T2^13 - 494*T1^11*T2^13 + 1402*T1^12*T2^13 - 
      792*T1^13*T2^13 - 21*T1^14*T2^13 + 140*T1^15*T2^13 - 43*T1^16*T2^13 + 
      23*T1^6*T2^14 - 112*T1^7*T2^14 + 209*T1^8*T2^14 - 21*T1^9*T2^14 - 
      417*T1^10*T2^14 + 543*T1^11*T2^14 - 417*T1^12*T2^14 - 21*T1^13*T2^14 + 
      209*T1^14*T2^14 - 112*T1^15*T2^14 + 23*T1^16*T2^14 - 7*T1^7*T2^15 + 
      42*T1^8*T2^15 - 112*T1^9*T2^15 + 140*T1^10*T2^15 - 56*T1^11*T2^15 - 
      56*T1^12*T2^15 + 140*T1^13*T2^15 - 112*T1^14*T2^15 + 42*T1^15*T2^15 - 
      7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 23*T1^10*T2^16 - 
      43*T1^11*T2^16 + 51*T1^12*T2^16 - 43*T1^13*T2^16 + 23*T1^14*T2^16 - 
      7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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), -((25 - 99*T1 + 159*T1^2 - 183*T1^3 + 183*T1^4 - 183*T1^5 + 
      159*T1^6 - 99*T1^7 + 25*T1^8 - 99*T2 + 294*T1*T2 - 240*T1^2*T2 + 
      96*T1^3*T2 + 96*T1^6*T2 - 240*T1^7*T2 + 294*T1^8*T2 - 99*T1^9*T2 + 
      159*T2^2 - 240*T1*T2^2 - 382*T1^2*T2^2 + 730*T1^3*T2^2 - 
      740*T1^4*T2^2 + 592*T1^5*T2^2 - 740*T1^6*T2^2 + 730*T1^7*T2^2 - 
      382*T1^8*T2^2 - 240*T1^9*T2^2 + 159*T1^10*T2^2 - 183*T2^3 + 
      96*T1*T2^3 + 730*T1^2*T2^3 - 470*T1^3*T2^3 + 66*T1^4*T2^3 + 
      148*T1^5*T2^3 + 148*T1^6*T2^3 + 66*T1^7*T2^3 - 470*T1^8*T2^3 + 
      730*T1^9*T2^3 + 96*T1^10*T2^3 - 183*T1^11*T2^3 + 183*T2^4 - 
      740*T1^2*T2^4 + 66*T1^3*T2^4 - 39*T1^4*T2^4 + 193*T1^5*T2^4 - 
      595*T1^6*T2^4 + 193*T1^7*T2^4 - 39*T1^8*T2^4 + 66*T1^9*T2^4 - 
      740*T1^10*T2^4 + 183*T1^12*T2^4 - 183*T2^5 + 592*T1^2*T2^5 + 
      148*T1^3*T2^5 + 193*T1^4*T2^5 - 136*T1^5*T2^5 + 250*T1^6*T2^5 + 
      250*T1^7*T2^5 - 136*T1^8*T2^5 + 193*T1^9*T2^5 + 148*T1^10*T2^5 + 
      592*T1^11*T2^5 - 183*T1^13*T2^5 + 159*T2^6 + 96*T1*T2^6 - 
      740*T1^2*T2^6 + 148*T1^3*T2^6 - 595*T1^4*T2^6 + 250*T1^5*T2^6 - 
      443*T1^6*T2^6 + 165*T1^7*T2^6 - 443*T1^8*T2^6 + 250*T1^9*T2^6 - 
      595*T1^10*T2^6 + 148*T1^11*T2^6 - 740*T1^12*T2^6 + 96*T1^13*T2^6 + 
      159*T1^14*T2^6 - 99*T2^7 - 240*T1*T2^7 + 730*T1^2*T2^7 + 66*T1^3*T2^7 + 
      193*T1^4*T2^7 + 250*T1^5*T2^7 + 165*T1^6*T2^7 + 90*T1^7*T2^7 + 
      90*T1^8*T2^7 + 165*T1^9*T2^7 + 250*T1^10*T2^7 + 193*T1^11*T2^7 + 
      66*T1^12*T2^7 + 730*T1^13*T2^7 - 240*T1^14*T2^7 - 99*T1^15*T2^7 + 
      25*T2^8 + 294*T1*T2^8 - 382*T1^2*T2^8 - 470*T1^3*T2^8 - 39*T1^4*T2^8 - 
      136*T1^5*T2^8 - 443*T1^6*T2^8 + 90*T1^7*T2^8 - 264*T1^8*T2^8 + 
      90*T1^9*T2^8 - 443*T1^10*T2^8 - 136*T1^11*T2^8 - 39*T1^12*T2^8 - 
      470*T1^13*T2^8 - 382*T1^14*T2^8 + 294*T1^15*T2^8 + 25*T1^16*T2^8 - 
      99*T1*T2^9 - 240*T1^2*T2^9 + 730*T1^3*T2^9 + 66*T1^4*T2^9 + 
      193*T1^5*T2^9 + 250*T1^6*T2^9 + 165*T1^7*T2^9 + 90*T1^8*T2^9 + 
      90*T1^9*T2^9 + 165*T1^10*T2^9 + 250*T1^11*T2^9 + 193*T1^12*T2^9 + 
      66*T1^13*T2^9 + 730*T1^14*T2^9 - 240*T1^15*T2^9 - 99*T1^16*T2^9 + 
      159*T1^2*T2^10 + 96*T1^3*T2^10 - 740*T1^4*T2^10 + 148*T1^5*T2^10 - 
      595*T1^6*T2^10 + 250*T1^7*T2^10 - 443*T1^8*T2^10 + 165*T1^9*T2^10 - 
      443*T1^10*T2^10 + 250*T1^11*T2^10 - 595*T1^12*T2^10 + 148*T1^13*T2^10 - 
      740*T1^14*T2^10 + 96*T1^15*T2^10 + 159*T1^16*T2^10 - 183*T1^3*T2^11 + 
      592*T1^5*T2^11 + 148*T1^6*T2^11 + 193*T1^7*T2^11 - 136*T1^8*T2^11 + 
      250*T1^9*T2^11 + 250*T1^10*T2^11 - 136*T1^11*T2^11 + 193*T1^12*T2^11 + 
      148*T1^13*T2^11 + 592*T1^14*T2^11 - 183*T1^16*T2^11 + 183*T1^4*T2^12 - 
      740*T1^6*T2^12 + 66*T1^7*T2^12 - 39*T1^8*T2^12 + 193*T1^9*T2^12 - 
      595*T1^10*T2^12 + 193*T1^11*T2^12 - 39*T1^12*T2^12 + 66*T1^13*T2^12 - 
      740*T1^14*T2^12 + 183*T1^16*T2^12 - 183*T1^5*T2^13 + 96*T1^6*T2^13 + 
      730*T1^7*T2^13 - 470*T1^8*T2^13 + 66*T1^9*T2^13 + 148*T1^10*T2^13 + 
      148*T1^11*T2^13 + 66*T1^12*T2^13 - 470*T1^13*T2^13 + 730*T1^14*T2^13 + 
      96*T1^15*T2^13 - 183*T1^16*T2^13 + 159*T1^6*T2^14 - 240*T1^7*T2^14 - 
      382*T1^8*T2^14 + 730*T1^9*T2^14 - 740*T1^10*T2^14 + 592*T1^11*T2^14 - 
      740*T1^12*T2^14 + 730*T1^13*T2^14 - 382*T1^14*T2^14 - 240*T1^15*T2^14 + 
      159*T1^16*T2^14 - 99*T1^7*T2^15 + 294*T1^8*T2^15 - 240*T1^9*T2^15 + 
      96*T1^10*T2^15 + 96*T1^13*T2^15 - 240*T1^14*T2^15 + 294*T1^15*T2^15 - 
      99*T1^16*T2^15 + 25*T1^8*T2^16 - 99*T1^9*T2^16 + 159*T1^10*T2^16 - 
      183*T1^11*T2^16 + 183*T1^12*T2^16 - 183*T1^13*T2^16 + 159*T1^14*T2^16 - 
      99*T1^15*T2^16 + 25*T1^16*T2^16)/(T1^8*T2^8))}, 
 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), 
   -((1 - 7*T1 + 19*T1^2 - 27*T1^3 + 27*T1^4 - 27*T1^5 + 19*T1^6 - 7*T1^7 + 
      T1^8 - 7*T2 + 42*T1*T2 - 84*T1^2*T2 + 56*T1^3*T2 + 56*T1^6*T2 - 
      84*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 19*T2^2 - 84*T1*T2^2 + 
      39*T1^2*T2^2 + 277*T1^3*T2^2 - 441*T1^4*T2^2 + 297*T1^5*T2^2 - 
      441*T1^6*T2^2 + 277*T1^7*T2^2 + 39*T1^8*T2^2 - 84*T1^9*T2^2 + 
      19*T1^10*T2^2 - 27*T2^3 + 56*T1*T2^3 + 277*T1^2*T2^3 - 876*T1^3*T2^3 + 
      548*T1^4*T2^3 + 160*T1^5*T2^3 + 160*T1^6*T2^3 + 548*T1^7*T2^3 - 
      876*T1^8*T2^3 + 277*T1^9*T2^3 + 56*T1^10*T2^3 - 27*T1^11*T2^3 + 
      27*T2^4 - 441*T1^2*T2^4 + 548*T1^3*T2^4 + 1046*T1^4*T2^4 - 
      1952*T1^5*T2^4 + 968*T1^6*T2^4 - 1952*T1^7*T2^4 + 1046*T1^8*T2^4 + 
      548*T1^9*T2^4 - 441*T1^10*T2^4 + 27*T1^12*T2^4 - 27*T2^5 + 
      297*T1^2*T2^5 + 160*T1^3*T2^5 - 1952*T1^4*T2^5 + 1554*T1^5*T2^5 + 
      368*T1^6*T2^5 + 368*T1^7*T2^5 + 1554*T1^8*T2^5 - 1952*T1^9*T2^5 + 
      160*T1^10*T2^5 + 297*T1^11*T2^5 - 27*T1^13*T2^5 + 19*T2^6 + 
      56*T1*T2^6 - 441*T1^2*T2^6 + 160*T1^3*T2^6 + 968*T1^4*T2^6 + 
      368*T1^5*T2^6 - 2197*T1^6*T2^6 + 1371*T1^7*T2^6 - 2197*T1^8*T2^6 + 
      368*T1^9*T2^6 + 968*T1^10*T2^6 + 160*T1^11*T2^6 - 441*T1^12*T2^6 + 
      56*T1^13*T2^6 + 19*T1^14*T2^6 - 7*T2^7 - 84*T1*T2^7 + 277*T1^2*T2^7 + 
      548*T1^3*T2^7 - 1952*T1^4*T2^7 + 368*T1^5*T2^7 + 1371*T1^6*T2^7 - 
      256*T1^7*T2^7 - 256*T1^8*T2^7 + 1371*T1^9*T2^7 + 368*T1^10*T2^7 - 
      1952*T1^11*T2^7 + 548*T1^12*T2^7 + 277*T1^13*T2^7 - 84*T1^14*T2^7 - 
      7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 39*T1^2*T2^8 - 876*T1^3*T2^8 + 
      1046*T1^4*T2^8 + 1554*T1^5*T2^8 - 2197*T1^6*T2^8 - 256*T1^7*T2^8 + 
      900*T1^8*T2^8 - 256*T1^9*T2^8 - 2197*T1^10*T2^8 + 1554*T1^11*T2^8 + 
      1046*T1^12*T2^8 - 876*T1^13*T2^8 + 39*T1^14*T2^8 + 42*T1^15*T2^8 + 
      T1^16*T2^8 - 7*T1*T2^9 - 84*T1^2*T2^9 + 277*T1^3*T2^9 + 548*T1^4*T2^9 - 
      1952*T1^5*T2^9 + 368*T1^6*T2^9 + 1371*T1^7*T2^9 - 256*T1^8*T2^9 - 
      256*T1^9*T2^9 + 1371*T1^10*T2^9 + 368*T1^11*T2^9 - 1952*T1^12*T2^9 + 
      548*T1^13*T2^9 + 277*T1^14*T2^9 - 84*T1^15*T2^9 - 7*T1^16*T2^9 + 
      19*T1^2*T2^10 + 56*T1^3*T2^10 - 441*T1^4*T2^10 + 160*T1^5*T2^10 + 
      968*T1^6*T2^10 + 368*T1^7*T2^10 - 2197*T1^8*T2^10 + 1371*T1^9*T2^10 - 
      2197*T1^10*T2^10 + 368*T1^11*T2^10 + 968*T1^12*T2^10 + 
      160*T1^13*T2^10 - 441*T1^14*T2^10 + 56*T1^15*T2^10 + 19*T1^16*T2^10 - 
      27*T1^3*T2^11 + 297*T1^5*T2^11 + 160*T1^6*T2^11 - 1952*T1^7*T2^11 + 
      1554*T1^8*T2^11 + 368*T1^9*T2^11 + 368*T1^10*T2^11 + 1554*T1^11*T2^11 - 
      1952*T1^12*T2^11 + 160*T1^13*T2^11 + 297*T1^14*T2^11 - 27*T1^16*T2^11 + 
      27*T1^4*T2^12 - 441*T1^6*T2^12 + 548*T1^7*T2^12 + 1046*T1^8*T2^12 - 
      1952*T1^9*T2^12 + 968*T1^10*T2^12 - 1952*T1^11*T2^12 + 
      1046*T1^12*T2^12 + 548*T1^13*T2^12 - 441*T1^14*T2^12 + 27*T1^16*T2^12 - 
      27*T1^5*T2^13 + 56*T1^6*T2^13 + 277*T1^7*T2^13 - 876*T1^8*T2^13 + 
      548*T1^9*T2^13 + 160*T1^10*T2^13 + 160*T1^11*T2^13 + 548*T1^12*T2^13 - 
      876*T1^13*T2^13 + 277*T1^14*T2^13 + 56*T1^15*T2^13 - 27*T1^16*T2^13 + 
      19*T1^6*T2^14 - 84*T1^7*T2^14 + 39*T1^8*T2^14 + 277*T1^9*T2^14 - 
      441*T1^10*T2^14 + 297*T1^11*T2^14 - 441*T1^12*T2^14 + 277*T1^13*T2^14 + 
      39*T1^14*T2^14 - 84*T1^15*T2^14 + 19*T1^16*T2^14 - 7*T1^7*T2^15 + 
      42*T1^8*T2^15 - 84*T1^9*T2^15 + 56*T1^10*T2^15 + 56*T1^13*T2^15 - 
      84*T1^14*T2^15 + 42*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 
      7*T1^9*T2^16 + 19*T1^10*T2^16 - 27*T1^11*T2^16 + 27*T1^12*T2^16 - 
      27*T1^13*T2^16 + 19*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 504] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^3), 
   -((144 - 636*T1 + 1176*T1^2 - 1408*T1^3 + 1176*T1^4 - 636*T1^5 + 
      144*T1^6 - 636*T2 + 2182*T1*T2 - 2412*T1^2*T2 + 1040*T1^3*T2 + 
      1040*T1^4*T2 - 2412*T1^5*T2 + 2182*T1^6*T2 - 636*T1^7*T2 + 1176*T2^2 - 
      2412*T1*T2^2 - 1603*T1^2*T2^2 + 6495*T1^3*T2^2 - 8669*T1^4*T2^2 + 
      6495*T1^5*T2^2 - 1603*T1^6*T2^2 - 2412*T1^7*T2^2 + 1176*T1^8*T2^2 - 
      1408*T2^3 + 1040*T1*T2^3 + 6495*T1^2*T2^3 - 8174*T1^3*T2^3 + 
      3696*T1^4*T2^3 + 3696*T1^5*T2^3 - 8174*T1^6*T2^3 + 6495*T1^7*T2^3 + 
      1040*T1^8*T2^3 - 1408*T1^9*T2^3 + 1176*T2^4 + 1040*T1*T2^4 - 
      8669*T1^2*T2^4 + 3696*T1^3*T2^4 + 3229*T1^4*T2^4 - 6723*T1^5*T2^4 + 
      3229*T1^6*T2^4 + 3696*T1^7*T2^4 - 8669*T1^8*T2^4 + 1040*T1^9*T2^4 + 
      1176*T1^10*T2^4 - 636*T2^5 - 2412*T1*T2^5 + 6495*T1^2*T2^5 + 
      3696*T1^3*T2^5 - 6723*T1^4*T2^5 + 3520*T1^5*T2^5 + 3520*T1^6*T2^5 - 
      6723*T1^7*T2^5 + 3696*T1^8*T2^5 + 6495*T1^9*T2^5 - 2412*T1^10*T2^5 - 
      636*T1^11*T2^5 + 144*T2^6 + 2182*T1*T2^6 - 1603*T1^2*T2^6 - 
      8174*T1^3*T2^6 + 3229*T1^4*T2^6 + 3520*T1^5*T2^6 - 7296*T1^6*T2^6 + 
      3520*T1^7*T2^6 + 3229*T1^8*T2^6 - 8174*T1^9*T2^6 - 1603*T1^10*T2^6 + 
      2182*T1^11*T2^6 + 144*T1^12*T2^6 - 636*T1*T2^7 - 2412*T1^2*T2^7 + 
      6495*T1^3*T2^7 + 3696*T1^4*T2^7 - 6723*T1^5*T2^7 + 3520*T1^6*T2^7 + 
      3520*T1^7*T2^7 - 6723*T1^8*T2^7 + 3696*T1^9*T2^7 + 6495*T1^10*T2^7 - 
      2412*T1^11*T2^7 - 636*T1^12*T2^7 + 1176*T1^2*T2^8 + 1040*T1^3*T2^8 - 
      8669*T1^4*T2^8 + 3696*T1^5*T2^8 + 3229*T1^6*T2^8 - 6723*T1^7*T2^8 + 
      3229*T1^8*T2^8 + 3696*T1^9*T2^8 - 8669*T1^10*T2^8 + 1040*T1^11*T2^8 + 
      1176*T1^12*T2^8 - 1408*T1^3*T2^9 + 1040*T1^4*T2^9 + 6495*T1^5*T2^9 - 
      8174*T1^6*T2^9 + 3696*T1^7*T2^9 + 3696*T1^8*T2^9 - 8174*T1^9*T2^9 + 
      6495*T1^10*T2^9 + 1040*T1^11*T2^9 - 1408*T1^12*T2^9 + 1176*T1^4*T2^10 - 
      2412*T1^5*T2^10 - 1603*T1^6*T2^10 + 6495*T1^7*T2^10 - 8669*T1^8*T2^10 + 
      6495*T1^9*T2^10 - 1603*T1^10*T2^10 - 2412*T1^11*T2^10 + 
      1176*T1^12*T2^10 - 636*T1^5*T2^11 + 2182*T1^6*T2^11 - 2412*T1^7*T2^11 + 
      1040*T1^8*T2^11 + 1040*T1^9*T2^11 - 2412*T1^10*T2^11 + 
      2182*T1^11*T2^11 - 636*T1^12*T2^11 + 144*T1^6*T2^12 - 636*T1^7*T2^12 + 
      1176*T1^8*T2^12 - 1408*T1^9*T2^12 + 1176*T1^10*T2^12 - 
      636*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), 
   (1 - 7*T1 + 21*T1^2 - 39*T1^3 + 47*T1^4 - 39*T1^5 + 21*T1^6 - 7*T1^7 + 
     T1^8 - 7*T2 + 42*T1*T2 - 98*T1^2*T2 + 126*T1^3*T2 - 56*T1^4*T2 - 
     56*T1^5*T2 + 126*T1^6*T2 - 98*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 
     21*T2^2 - 98*T1*T2^2 + 117*T1^2*T2^2 + 73*T1^3*T2^2 - 511*T1^4*T2^2 + 
     703*T1^5*T2^2 - 511*T1^6*T2^2 + 73*T1^7*T2^2 + 117*T1^8*T2^2 - 
     98*T1^9*T2^2 + 21*T1^10*T2^2 - 39*T2^3 + 126*T1*T2^3 + 73*T1^2*T2^3 - 
     616*T1^3*T2^3 + 1188*T1^4*T2^3 - 536*T1^5*T2^3 - 536*T1^6*T2^3 + 
     1188*T1^7*T2^3 - 616*T1^8*T2^3 + 73*T1^9*T2^3 + 126*T1^10*T2^3 - 
     39*T1^11*T2^3 + 47*T2^4 - 56*T1*T2^4 - 511*T1^2*T2^4 + 1188*T1^3*T2^4 - 
     1223*T1^4*T2^4 - 949*T1^5*T2^4 + 1851*T1^6*T2^4 - 949*T1^7*T2^4 - 
     1223*T1^8*T2^4 + 1188*T1^9*T2^4 - 511*T1^10*T2^4 - 56*T1^11*T2^4 + 
     47*T1^12*T2^4 - 39*T2^5 - 56*T1*T2^5 + 703*T1^2*T2^5 - 536*T1^3*T2^5 - 
     949*T1^4*T2^5 + 4030*T1^5*T2^5 - 1896*T1^6*T2^5 - 1896*T1^7*T2^5 + 
     4030*T1^8*T2^5 - 949*T1^9*T2^5 - 536*T1^10*T2^5 + 703*T1^11*T2^5 - 
     56*T1^12*T2^5 - 39*T1^13*T2^5 + 21*T2^6 + 126*T1*T2^6 - 511*T1^2*T2^6 - 
     536*T1^3*T2^6 + 1851*T1^4*T2^6 - 1896*T1^5*T2^6 - 5553*T1^6*T2^6 + 
     8793*T1^7*T2^6 - 5553*T1^8*T2^6 - 1896*T1^9*T2^6 + 1851*T1^10*T2^6 - 
     536*T1^11*T2^6 - 511*T1^12*T2^6 + 126*T1^13*T2^6 + 21*T1^14*T2^6 - 
     7*T2^7 - 98*T1*T2^7 + 73*T1^2*T2^7 + 1188*T1^3*T2^7 - 949*T1^4*T2^7 - 
     1896*T1^5*T2^7 + 8793*T1^6*T2^7 - 4294*T1^7*T2^7 - 4294*T1^8*T2^7 + 
     8793*T1^9*T2^7 - 1896*T1^10*T2^7 - 949*T1^11*T2^7 + 1188*T1^12*T2^7 + 
     73*T1^13*T2^7 - 98*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 
     117*T1^2*T2^8 - 616*T1^3*T2^8 - 1223*T1^4*T2^8 + 4030*T1^5*T2^8 - 
     5553*T1^6*T2^8 - 4294*T1^7*T2^8 + 8820*T1^8*T2^8 - 4294*T1^9*T2^8 - 
     5553*T1^10*T2^8 + 4030*T1^11*T2^8 - 1223*T1^12*T2^8 - 616*T1^13*T2^8 + 
     117*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 98*T1^2*T2^9 + 
     73*T1^3*T2^9 + 1188*T1^4*T2^9 - 949*T1^5*T2^9 - 1896*T1^6*T2^9 + 
     8793*T1^7*T2^9 - 4294*T1^8*T2^9 - 4294*T1^9*T2^9 + 8793*T1^10*T2^9 - 
     1896*T1^11*T2^9 - 949*T1^12*T2^9 + 1188*T1^13*T2^9 + 73*T1^14*T2^9 - 
     98*T1^15*T2^9 - 7*T1^16*T2^9 + 21*T1^2*T2^10 + 126*T1^3*T2^10 - 
     511*T1^4*T2^10 - 536*T1^5*T2^10 + 1851*T1^6*T2^10 - 1896*T1^7*T2^10 - 
     5553*T1^8*T2^10 + 8793*T1^9*T2^10 - 5553*T1^10*T2^10 - 
     1896*T1^11*T2^10 + 1851*T1^12*T2^10 - 536*T1^13*T2^10 - 
     511*T1^14*T2^10 + 126*T1^15*T2^10 + 21*T1^16*T2^10 - 39*T1^3*T2^11 - 
     56*T1^4*T2^11 + 703*T1^5*T2^11 - 536*T1^6*T2^11 - 949*T1^7*T2^11 + 
     4030*T1^8*T2^11 - 1896*T1^9*T2^11 - 1896*T1^10*T2^11 + 
     4030*T1^11*T2^11 - 949*T1^12*T2^11 - 536*T1^13*T2^11 + 703*T1^14*T2^11 - 
     56*T1^15*T2^11 - 39*T1^16*T2^11 + 47*T1^4*T2^12 - 56*T1^5*T2^12 - 
     511*T1^6*T2^12 + 1188*T1^7*T2^12 - 1223*T1^8*T2^12 - 949*T1^9*T2^12 + 
     1851*T1^10*T2^12 - 949*T1^11*T2^12 - 1223*T1^12*T2^12 + 
     1188*T1^13*T2^12 - 511*T1^14*T2^12 - 56*T1^15*T2^12 + 47*T1^16*T2^12 - 
     39*T1^5*T2^13 + 126*T1^6*T2^13 + 73*T1^7*T2^13 - 616*T1^8*T2^13 + 
     1188*T1^9*T2^13 - 536*T1^10*T2^13 - 536*T1^11*T2^13 + 1188*T1^12*T2^13 - 
     616*T1^13*T2^13 + 73*T1^14*T2^13 + 126*T1^15*T2^13 - 39*T1^16*T2^13 + 
     21*T1^6*T2^14 - 98*T1^7*T2^14 + 117*T1^8*T2^14 + 73*T1^9*T2^14 - 
     511*T1^10*T2^14 + 703*T1^11*T2^14 - 511*T1^12*T2^14 + 73*T1^13*T2^14 + 
     117*T1^14*T2^14 - 98*T1^15*T2^14 + 21*T1^16*T2^14 - 7*T1^7*T2^15 + 
     42*T1^8*T2^15 - 98*T1^9*T2^15 + 126*T1^10*T2^15 - 56*T1^11*T2^15 - 
     56*T1^12*T2^15 + 126*T1^13*T2^15 - 98*T1^14*T2^15 + 42*T1^15*T2^15 - 
     7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 21*T1^10*T2^16 - 
     39*T1^11*T2^16 + 47*T1^12*T2^16 - 39*T1^13*T2^16 + 21*T1^14*T2^16 - 
     7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 
   0}, 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), 
   -((25 - 99*T1 + 184*T1^2 - 257*T1^3 + 281*T1^4 - 257*T1^5 + 184*T1^6 - 
      99*T1^7 + 25*T1^8 - 99*T2 + 294*T1*T2 - 339*T1^2*T2 + 291*T1^3*T2 - 
      96*T1^4*T2 - 96*T1^5*T2 + 291*T1^6*T2 - 339*T1^7*T2 + 294*T1^8*T2 - 
      99*T1^9*T2 + 184*T2^2 - 339*T1*T2^2 - 22*T1^2*T2^2 + 317*T1^3*T2^2 - 
      689*T1^4*T2^2 + 722*T1^5*T2^2 - 689*T1^6*T2^2 + 317*T1^7*T2^2 - 
      22*T1^8*T2^2 - 339*T1^9*T2^2 + 184*T1^10*T2^2 - 257*T2^3 + 
      291*T1*T2^3 + 317*T1^2*T2^3 - 268*T1^3*T2^3 + 399*T1^4*T2^3 - 
      22*T1^5*T2^3 - 22*T1^6*T2^3 + 399*T1^7*T2^3 - 268*T1^8*T2^3 + 
      317*T1^9*T2^3 + 291*T1^10*T2^3 - 257*T1^11*T2^3 + 281*T2^4 - 
      96*T1*T2^4 - 689*T1^2*T2^4 + 399*T1^3*T2^4 - 862*T1^4*T2^4 + 
      597*T1^5*T2^4 - 984*T1^6*T2^4 + 597*T1^7*T2^4 - 862*T1^8*T2^4 + 
      399*T1^9*T2^4 - 689*T1^10*T2^4 - 96*T1^11*T2^4 + 281*T1^12*T2^4 - 
      257*T2^5 - 96*T1*T2^5 + 722*T1^2*T2^5 - 22*T1^3*T2^5 + 597*T1^4*T2^5 + 
      22*T1^5*T2^5 + 364*T1^6*T2^5 + 364*T1^7*T2^5 + 22*T1^8*T2^5 + 
      597*T1^9*T2^5 - 22*T1^10*T2^5 + 722*T1^11*T2^5 - 96*T1^12*T2^5 - 
      257*T1^13*T2^5 + 184*T2^6 + 291*T1*T2^6 - 689*T1^2*T2^6 - 
      22*T1^3*T2^6 - 984*T1^4*T2^6 + 364*T1^5*T2^6 - 1110*T1^6*T2^6 + 
      402*T1^7*T2^6 - 1110*T1^8*T2^6 + 364*T1^9*T2^6 - 984*T1^10*T2^6 - 
      22*T1^11*T2^6 - 689*T1^12*T2^6 + 291*T1^13*T2^6 + 184*T1^14*T2^6 - 
      99*T2^7 - 339*T1*T2^7 + 317*T1^2*T2^7 + 399*T1^3*T2^7 + 597*T1^4*T2^7 + 
      364*T1^5*T2^7 + 402*T1^6*T2^7 + 428*T1^7*T2^7 + 428*T1^8*T2^7 + 
      402*T1^9*T2^7 + 364*T1^10*T2^7 + 597*T1^11*T2^7 + 399*T1^12*T2^7 + 
      317*T1^13*T2^7 - 339*T1^14*T2^7 - 99*T1^15*T2^7 + 25*T2^8 + 
      294*T1*T2^8 - 22*T1^2*T2^8 - 268*T1^3*T2^8 - 862*T1^4*T2^8 + 
      22*T1^5*T2^8 - 1110*T1^6*T2^8 + 428*T1^7*T2^8 - 1368*T1^8*T2^8 + 
      428*T1^9*T2^8 - 1110*T1^10*T2^8 + 22*T1^11*T2^8 - 862*T1^12*T2^8 - 
      268*T1^13*T2^8 - 22*T1^14*T2^8 + 294*T1^15*T2^8 + 25*T1^16*T2^8 - 
      99*T1*T2^9 - 339*T1^2*T2^9 + 317*T1^3*T2^9 + 399*T1^4*T2^9 + 
      597*T1^5*T2^9 + 364*T1^6*T2^9 + 402*T1^7*T2^9 + 428*T1^8*T2^9 + 
      428*T1^9*T2^9 + 402*T1^10*T2^9 + 364*T1^11*T2^9 + 597*T1^12*T2^9 + 
      399*T1^13*T2^9 + 317*T1^14*T2^9 - 339*T1^15*T2^9 - 99*T1^16*T2^9 + 
      184*T1^2*T2^10 + 291*T1^3*T2^10 - 689*T1^4*T2^10 - 22*T1^5*T2^10 - 
      984*T1^6*T2^10 + 364*T1^7*T2^10 - 1110*T1^8*T2^10 + 402*T1^9*T2^10 - 
      1110*T1^10*T2^10 + 364*T1^11*T2^10 - 984*T1^12*T2^10 - 22*T1^13*T2^10 - 
      689*T1^14*T2^10 + 291*T1^15*T2^10 + 184*T1^16*T2^10 - 257*T1^3*T2^11 - 
      96*T1^4*T2^11 + 722*T1^5*T2^11 - 22*T1^6*T2^11 + 597*T1^7*T2^11 + 
      22*T1^8*T2^11 + 364*T1^9*T2^11 + 364*T1^10*T2^11 + 22*T1^11*T2^11 + 
      597*T1^12*T2^11 - 22*T1^13*T2^11 + 722*T1^14*T2^11 - 96*T1^15*T2^11 - 
      257*T1^16*T2^11 + 281*T1^4*T2^12 - 96*T1^5*T2^12 - 689*T1^6*T2^12 + 
      399*T1^7*T2^12 - 862*T1^8*T2^12 + 597*T1^9*T2^12 - 984*T1^10*T2^12 + 
      597*T1^11*T2^12 - 862*T1^12*T2^12 + 399*T1^13*T2^12 - 689*T1^14*T2^12 - 
      96*T1^15*T2^12 + 281*T1^16*T2^12 - 257*T1^5*T2^13 + 291*T1^6*T2^13 + 
      317*T1^7*T2^13 - 268*T1^8*T2^13 + 399*T1^9*T2^13 - 22*T1^10*T2^13 - 
      22*T1^11*T2^13 + 399*T1^12*T2^13 - 268*T1^13*T2^13 + 317*T1^14*T2^13 + 
      291*T1^15*T2^13 - 257*T1^16*T2^13 + 184*T1^6*T2^14 - 339*T1^7*T2^14 - 
      22*T1^8*T2^14 + 317*T1^9*T2^14 - 689*T1^10*T2^14 + 722*T1^11*T2^14 - 
      689*T1^12*T2^14 + 317*T1^13*T2^14 - 22*T1^14*T2^14 - 339*T1^15*T2^14 + 
      184*T1^16*T2^14 - 99*T1^7*T2^15 + 294*T1^8*T2^15 - 339*T1^9*T2^15 + 
      291*T1^10*T2^15 - 96*T1^11*T2^15 - 96*T1^12*T2^15 + 291*T1^13*T2^15 - 
      339*T1^14*T2^15 + 294*T1^15*T2^15 - 99*T1^16*T2^15 + 25*T1^8*T2^16 - 
      99*T1^9*T2^16 + 184*T1^10*T2^16 - 257*T1^11*T2^16 + 281*T1^12*T2^16 - 
      257*T1^13*T2^16 + 184*T1^14*T2^16 - 99*T1^15*T2^16 + 25*T1^16*T2^16)/
     (T1^8*T2^8))}, 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*(72 - 284*T1 + 488*T1^2 - 572*T1^3 + 488*T1^4 - 284*T1^5 + 72*T1^6 - 
      284*T2 + 840*T1*T2 - 814*T1^2*T2 + 336*T1^3*T2 + 336*T1^4*T2 - 
      814*T1^5*T2 + 840*T1^6*T2 - 284*T1^7*T2 + 488*T2^2 - 814*T1*T2^2 - 
      646*T1^2*T2^2 + 1948*T1^3*T2^2 - 2508*T1^4*T2^2 + 1948*T1^5*T2^2 - 
      646*T1^6*T2^2 - 814*T1^7*T2^2 + 488*T1^8*T2^2 - 572*T2^3 + 
      336*T1*T2^3 + 1948*T1^2*T2^3 - 1937*T1^3*T2^3 + 856*T1^4*T2^3 + 
      856*T1^5*T2^3 - 1937*T1^6*T2^3 + 1948*T1^7*T2^3 + 336*T1^8*T2^3 - 
      572*T1^9*T2^3 + 488*T2^4 + 336*T1*T2^4 - 2508*T1^2*T2^4 + 
      856*T1^3*T2^4 + 223*T1^4*T2^4 - 899*T1^5*T2^4 + 223*T1^6*T2^4 + 
      856*T1^7*T2^4 - 2508*T1^8*T2^4 + 336*T1^9*T2^4 + 488*T1^10*T2^4 - 
      284*T2^5 - 814*T1*T2^5 + 1948*T1^2*T2^5 + 856*T1^3*T2^5 - 
      899*T1^4*T2^5 + 591*T1^5*T2^5 + 591*T1^6*T2^5 - 899*T1^7*T2^5 + 
      856*T1^8*T2^5 + 1948*T1^9*T2^5 - 814*T1^10*T2^5 - 284*T1^11*T2^5 + 
      72*T2^6 + 840*T1*T2^6 - 646*T1^2*T2^6 - 1937*T1^3*T2^6 + 
      223*T1^4*T2^6 + 591*T1^5*T2^6 - 1344*T1^6*T2^6 + 591*T1^7*T2^6 + 
      223*T1^8*T2^6 - 1937*T1^9*T2^6 - 646*T1^10*T2^6 + 840*T1^11*T2^6 + 
      72*T1^12*T2^6 - 284*T1*T2^7 - 814*T1^2*T2^7 + 1948*T1^3*T2^7 + 
      856*T1^4*T2^7 - 899*T1^5*T2^7 + 591*T1^6*T2^7 + 591*T1^7*T2^7 - 
      899*T1^8*T2^7 + 856*T1^9*T2^7 + 1948*T1^10*T2^7 - 814*T1^11*T2^7 - 
      284*T1^12*T2^7 + 488*T1^2*T2^8 + 336*T1^3*T2^8 - 2508*T1^4*T2^8 + 
      856*T1^5*T2^8 + 223*T1^6*T2^8 - 899*T1^7*T2^8 + 223*T1^8*T2^8 + 
      856*T1^9*T2^8 - 2508*T1^10*T2^8 + 336*T1^11*T2^8 + 488*T1^12*T2^8 - 
      572*T1^3*T2^9 + 336*T1^4*T2^9 + 1948*T1^5*T2^9 - 1937*T1^6*T2^9 + 
      856*T1^7*T2^9 + 856*T1^8*T2^9 - 1937*T1^9*T2^9 + 1948*T1^10*T2^9 + 
      336*T1^11*T2^9 - 572*T1^12*T2^9 + 488*T1^4*T2^10 - 814*T1^5*T2^10 - 
      646*T1^6*T2^10 + 1948*T1^7*T2^10 - 2508*T1^8*T2^10 + 1948*T1^9*T2^10 - 
      646*T1^10*T2^10 - 814*T1^11*T2^10 + 488*T1^12*T2^10 - 284*T1^5*T2^11 + 
      840*T1^6*T2^11 - 814*T1^7*T2^11 + 336*T1^8*T2^11 + 336*T1^9*T2^11 - 
      814*T1^10*T2^11 + 840*T1^11*T2^11 - 284*T1^12*T2^11 + 72*T1^6*T2^12 - 
      284*T1^7*T2^12 + 488*T1^8*T2^12 - 572*T1^9*T2^12 + 488*T1^10*T2^12 - 
      284*T1^11*T2^12 + 72*T1^12*T2^12))/(T1^6*T2^6)}, 
 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), -((9 - 44*T1 + 113*T1^2 - 194*T1^3 + 227*T1^4 - 194*T1^5 + 
      113*T1^6 - 44*T1^7 + 9*T1^8 - 44*T2 + 172*T1*T2 - 340*T1^2*T2 + 
      400*T1^3*T2 - 164*T1^4*T2 - 164*T1^5*T2 + 400*T1^6*T2 - 340*T1^7*T2 + 
      172*T1^8*T2 - 44*T1^9*T2 + 113*T2^2 - 340*T1*T2^2 + 479*T1^2*T2^2 - 
      265*T1^3*T2^2 - 431*T1^4*T2^2 + 653*T1^5*T2^2 - 431*T1^6*T2^2 - 
      265*T1^7*T2^2 + 479*T1^8*T2^2 - 340*T1^9*T2^2 + 113*T1^10*T2^2 - 
      194*T2^3 + 400*T1*T2^3 - 265*T1^2*T2^3 - 332*T1^3*T2^3 + 
      1176*T1^4*T2^3 - 397*T1^5*T2^3 - 397*T1^6*T2^3 + 1176*T1^7*T2^3 - 
      332*T1^8*T2^3 - 265*T1^9*T2^3 + 400*T1^10*T2^3 - 194*T1^11*T2^3 + 
      227*T2^4 - 164*T1*T2^4 - 431*T1^2*T2^4 + 1176*T1^3*T2^4 - 
      1481*T1^4*T2^4 - 770*T1^5*T2^4 + 979*T1^6*T2^4 - 770*T1^7*T2^4 - 
      1481*T1^8*T2^4 + 1176*T1^9*T2^4 - 431*T1^10*T2^4 - 164*T1^11*T2^4 + 
      227*T1^12*T2^4 - 194*T2^5 - 164*T1*T2^5 + 653*T1^2*T2^5 - 
      397*T1^3*T2^5 - 770*T1^4*T2^5 + 3640*T1^5*T2^5 - 929*T1^6*T2^5 - 
      929*T1^7*T2^5 + 3640*T1^8*T2^5 - 770*T1^9*T2^5 - 397*T1^10*T2^5 + 
      653*T1^11*T2^5 - 164*T1^12*T2^5 - 194*T1^13*T2^5 + 113*T2^6 + 
      400*T1*T2^6 - 431*T1^2*T2^6 - 397*T1^3*T2^6 + 979*T1^4*T2^6 - 
      929*T1^5*T2^6 - 5791*T1^6*T2^6 + 6355*T1^7*T2^6 - 5791*T1^8*T2^6 - 
      929*T1^9*T2^6 + 979*T1^10*T2^6 - 397*T1^11*T2^6 - 431*T1^12*T2^6 + 
      400*T1^13*T2^6 + 113*T1^14*T2^6 - 44*T2^7 - 340*T1*T2^7 - 
      265*T1^2*T2^7 + 1176*T1^3*T2^7 - 770*T1^4*T2^7 - 929*T1^5*T2^7 + 
      6355*T1^6*T2^7 - 1448*T1^7*T2^7 - 1448*T1^8*T2^7 + 6355*T1^9*T2^7 - 
      929*T1^10*T2^7 - 770*T1^11*T2^7 + 1176*T1^12*T2^7 - 265*T1^13*T2^7 - 
      340*T1^14*T2^7 - 44*T1^15*T2^7 + 9*T2^8 + 172*T1*T2^8 + 479*T1^2*T2^8 - 
      332*T1^3*T2^8 - 1481*T1^4*T2^8 + 3640*T1^5*T2^8 - 5791*T1^6*T2^8 - 
      1448*T1^7*T2^8 + 1368*T1^8*T2^8 - 1448*T1^9*T2^8 - 5791*T1^10*T2^8 + 
      3640*T1^11*T2^8 - 1481*T1^12*T2^8 - 332*T1^13*T2^8 + 479*T1^14*T2^8 + 
      172*T1^15*T2^8 + 9*T1^16*T2^8 - 44*T1*T2^9 - 340*T1^2*T2^9 - 
      265*T1^3*T2^9 + 1176*T1^4*T2^9 - 770*T1^5*T2^9 - 929*T1^6*T2^9 + 
      6355*T1^7*T2^9 - 1448*T1^8*T2^9 - 1448*T1^9*T2^9 + 6355*T1^10*T2^9 - 
      929*T1^11*T2^9 - 770*T1^12*T2^9 + 1176*T1^13*T2^9 - 265*T1^14*T2^9 - 
      340*T1^15*T2^9 - 44*T1^16*T2^9 + 113*T1^2*T2^10 + 400*T1^3*T2^10 - 
      431*T1^4*T2^10 - 397*T1^5*T2^10 + 979*T1^6*T2^10 - 929*T1^7*T2^10 - 
      5791*T1^8*T2^10 + 6355*T1^9*T2^10 - 5791*T1^10*T2^10 - 
      929*T1^11*T2^10 + 979*T1^12*T2^10 - 397*T1^13*T2^10 - 431*T1^14*T2^10 + 
      400*T1^15*T2^10 + 113*T1^16*T2^10 - 194*T1^3*T2^11 - 164*T1^4*T2^11 + 
      653*T1^5*T2^11 - 397*T1^6*T2^11 - 770*T1^7*T2^11 + 3640*T1^8*T2^11 - 
      929*T1^9*T2^11 - 929*T1^10*T2^11 + 3640*T1^11*T2^11 - 770*T1^12*T2^11 - 
      397*T1^13*T2^11 + 653*T1^14*T2^11 - 164*T1^15*T2^11 - 194*T1^16*T2^11 + 
      227*T1^4*T2^12 - 164*T1^5*T2^12 - 431*T1^6*T2^12 + 1176*T1^7*T2^12 - 
      1481*T1^8*T2^12 - 770*T1^9*T2^12 + 979*T1^10*T2^12 - 770*T1^11*T2^12 - 
      1481*T1^12*T2^12 + 1176*T1^13*T2^12 - 431*T1^14*T2^12 - 
      164*T1^15*T2^12 + 227*T1^16*T2^12 - 194*T1^5*T2^13 + 400*T1^6*T2^13 - 
      265*T1^7*T2^13 - 332*T1^8*T2^13 + 1176*T1^9*T2^13 - 397*T1^10*T2^13 - 
      397*T1^11*T2^13 + 1176*T1^12*T2^13 - 332*T1^13*T2^13 - 
      265*T1^14*T2^13 + 400*T1^15*T2^13 - 194*T1^16*T2^13 + 113*T1^6*T2^14 - 
      340*T1^7*T2^14 + 479*T1^8*T2^14 - 265*T1^9*T2^14 - 431*T1^10*T2^14 + 
      653*T1^11*T2^14 - 431*T1^12*T2^14 - 265*T1^13*T2^14 + 479*T1^14*T2^14 - 
      340*T1^15*T2^14 + 113*T1^16*T2^14 - 44*T1^7*T2^15 + 172*T1^8*T2^15 - 
      340*T1^9*T2^15 + 400*T1^10*T2^15 - 164*T1^11*T2^15 - 164*T1^12*T2^15 + 
      400*T1^13*T2^15 - 340*T1^14*T2^15 + 172*T1^15*T2^15 - 44*T1^16*T2^15 + 
      9*T1^8*T2^16 - 44*T1^9*T2^16 + 113*T1^10*T2^16 - 194*T1^11*T2^16 + 
      227*T1^12*T2^16 - 194*T1^13*T2^16 + 113*T1^14*T2^16 - 44*T1^15*T2^16 + 
      9*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 510] -> 
  {-((4 - 20*T + 44*T^2 - 57*T^3 + 44*T^4 - 20*T^5 + 4*T^6)/T^3), 0}, 
 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, 
   -((17 - 67*T1 + 141*T1^2 - 189*T1^3 + 205*T1^4 - 189*T1^5 + 141*T1^6 - 
      67*T1^7 + 17*T1^8 - 67*T2 + 198*T1*T2 - 294*T1^2*T2 + 192*T1^3*T2 - 
      64*T1^4*T2 - 64*T1^5*T2 + 192*T1^6*T2 - 294*T1^7*T2 + 198*T1^8*T2 - 
      67*T1^9*T2 + 141*T2^2 - 294*T1*T2^2 + 270*T1^2*T2^2 + 92*T1^3*T2^2 - 
      136*T1^4*T2^2 + 136*T1^5*T2^2 - 136*T1^6*T2^2 + 92*T1^7*T2^2 + 
      270*T1^8*T2^2 - 294*T1^9*T2^2 + 141*T1^10*T2^2 - 189*T2^3 + 
      192*T1*T2^3 + 92*T1^2*T2^3 - 612*T1^3*T2^3 + 200*T1^4*T2^3 - 
      56*T1^5*T2^3 - 56*T1^6*T2^3 + 200*T1^7*T2^3 - 612*T1^8*T2^3 + 
      92*T1^9*T2^3 + 192*T1^10*T2^3 - 189*T1^11*T2^3 + 205*T2^4 - 
      64*T1*T2^4 - 136*T1^2*T2^4 + 200*T1^3*T2^4 + 1006*T1^4*T2^4 - 
      1030*T1^5*T2^4 + 1094*T1^6*T2^4 - 1030*T1^7*T2^4 + 1006*T1^8*T2^4 + 
      200*T1^9*T2^4 - 136*T1^10*T2^4 - 64*T1^11*T2^4 + 205*T1^12*T2^4 - 
      189*T2^5 - 64*T1*T2^5 + 136*T1^2*T2^5 - 56*T1^3*T2^5 - 1030*T1^4*T2^5 + 
      196*T1^5*T2^5 - 124*T1^6*T2^5 - 124*T1^7*T2^5 + 196*T1^8*T2^5 - 
      1030*T1^9*T2^5 - 56*T1^10*T2^5 + 136*T1^11*T2^5 - 64*T1^12*T2^5 - 
      189*T1^13*T2^5 + 141*T2^6 + 192*T1*T2^6 - 136*T1^2*T2^6 - 
      56*T1^3*T2^6 + 1094*T1^4*T2^6 - 124*T1^5*T2^6 + 590*T1^6*T2^6 - 
      438*T1^7*T2^6 + 590*T1^8*T2^6 - 124*T1^9*T2^6 + 1094*T1^10*T2^6 - 
      56*T1^11*T2^6 - 136*T1^12*T2^6 + 192*T1^13*T2^6 + 141*T1^14*T2^6 - 
      67*T2^7 - 294*T1*T2^7 + 92*T1^2*T2^7 + 200*T1^3*T2^7 - 1030*T1^4*T2^7 - 
      124*T1^5*T2^7 - 438*T1^6*T2^7 - 50*T1^7*T2^7 - 50*T1^8*T2^7 - 
      438*T1^9*T2^7 - 124*T1^10*T2^7 - 1030*T1^11*T2^7 + 200*T1^12*T2^7 + 
      92*T1^13*T2^7 - 294*T1^14*T2^7 - 67*T1^15*T2^7 + 17*T2^8 + 
      198*T1*T2^8 + 270*T1^2*T2^8 - 612*T1^3*T2^8 + 1006*T1^4*T2^8 + 
      196*T1^5*T2^8 + 590*T1^6*T2^8 - 50*T1^7*T2^8 + 348*T1^8*T2^8 - 
      50*T1^9*T2^8 + 590*T1^10*T2^8 + 196*T1^11*T2^8 + 1006*T1^12*T2^8 - 
      612*T1^13*T2^8 + 270*T1^14*T2^8 + 198*T1^15*T2^8 + 17*T1^16*T2^8 - 
      67*T1*T2^9 - 294*T1^2*T2^9 + 92*T1^3*T2^9 + 200*T1^4*T2^9 - 
      1030*T1^5*T2^9 - 124*T1^6*T2^9 - 438*T1^7*T2^9 - 50*T1^8*T2^9 - 
      50*T1^9*T2^9 - 438*T1^10*T2^9 - 124*T1^11*T2^9 - 1030*T1^12*T2^9 + 
      200*T1^13*T2^9 + 92*T1^14*T2^9 - 294*T1^15*T2^9 - 67*T1^16*T2^9 + 
      141*T1^2*T2^10 + 192*T1^3*T2^10 - 136*T1^4*T2^10 - 56*T1^5*T2^10 + 
      1094*T1^6*T2^10 - 124*T1^7*T2^10 + 590*T1^8*T2^10 - 438*T1^9*T2^10 + 
      590*T1^10*T2^10 - 124*T1^11*T2^10 + 1094*T1^12*T2^10 - 56*T1^13*T2^10 - 
      136*T1^14*T2^10 + 192*T1^15*T2^10 + 141*T1^16*T2^10 - 189*T1^3*T2^11 - 
      64*T1^4*T2^11 + 136*T1^5*T2^11 - 56*T1^6*T2^11 - 1030*T1^7*T2^11 + 
      196*T1^8*T2^11 - 124*T1^9*T2^11 - 124*T1^10*T2^11 + 196*T1^11*T2^11 - 
      1030*T1^12*T2^11 - 56*T1^13*T2^11 + 136*T1^14*T2^11 - 64*T1^15*T2^11 - 
      189*T1^16*T2^11 + 205*T1^4*T2^12 - 64*T1^5*T2^12 - 136*T1^6*T2^12 + 
      200*T1^7*T2^12 + 1006*T1^8*T2^12 - 1030*T1^9*T2^12 + 1094*T1^10*T2^12 - 
      1030*T1^11*T2^12 + 1006*T1^12*T2^12 + 200*T1^13*T2^12 - 
      136*T1^14*T2^12 - 64*T1^15*T2^12 + 205*T1^16*T2^12 - 189*T1^5*T2^13 + 
      192*T1^6*T2^13 + 92*T1^7*T2^13 - 612*T1^8*T2^13 + 200*T1^9*T2^13 - 
      56*T1^10*T2^13 - 56*T1^11*T2^13 + 200*T1^12*T2^13 - 612*T1^13*T2^13 + 
      92*T1^14*T2^13 + 192*T1^15*T2^13 - 189*T1^16*T2^13 + 141*T1^6*T2^14 - 
      294*T1^7*T2^14 + 270*T1^8*T2^14 + 92*T1^9*T2^14 - 136*T1^10*T2^14 + 
      136*T1^11*T2^14 - 136*T1^12*T2^14 + 92*T1^13*T2^14 + 270*T1^14*T2^14 - 
      294*T1^15*T2^14 + 141*T1^16*T2^14 - 67*T1^7*T2^15 + 198*T1^8*T2^15 - 
      294*T1^9*T2^15 + 192*T1^10*T2^15 - 64*T1^11*T2^15 - 64*T1^12*T2^15 + 
      192*T1^13*T2^15 - 294*T1^14*T2^15 + 198*T1^15*T2^15 - 67*T1^16*T2^15 + 
      17*T1^8*T2^16 - 67*T1^9*T2^16 + 141*T1^10*T2^16 - 189*T1^11*T2^16 + 
      205*T1^12*T2^16 - 189*T1^13*T2^16 + 141*T1^14*T2^16 - 67*T1^15*T2^16 + 
      17*T1^16*T2^16)/(T1^8*T2^8))}, 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), (1 - 7*T1 + 19*T1^2 - 31*T1^3 + 35*T1^4 - 31*T1^5 + 19*T1^6 - 
     7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 84*T1^2*T2 + 84*T1^3*T2 - 28*T1^4*T2 - 
     28*T1^5*T2 + 84*T1^6*T2 - 84*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 
     19*T2^2 - 84*T1*T2^2 + 43*T1^2*T2^2 + 189*T1^3*T2^2 - 463*T1^4*T2^2 + 
     507*T1^5*T2^2 - 463*T1^6*T2^2 + 189*T1^7*T2^2 + 43*T1^8*T2^2 - 
     84*T1^9*T2^2 + 19*T1^10*T2^2 - 31*T2^3 + 84*T1*T2^3 + 189*T1^2*T2^3 - 
     630*T1^3*T2^3 + 730*T1^4*T2^3 - 188*T1^5*T2^3 - 188*T1^6*T2^3 + 
     730*T1^7*T2^3 - 630*T1^8*T2^3 + 189*T1^9*T2^3 + 84*T1^10*T2^3 - 
     31*T1^11*T2^3 + 35*T2^4 - 28*T1*T2^4 - 463*T1^2*T2^4 + 730*T1^3*T2^4 - 
     194*T1^4*T2^4 - 934*T1^5*T2^4 + 956*T1^6*T2^4 - 934*T1^7*T2^4 - 
     194*T1^8*T2^4 + 730*T1^9*T2^4 - 463*T1^10*T2^4 - 28*T1^11*T2^4 + 
     35*T1^12*T2^4 - 31*T2^5 - 28*T1*T2^5 + 507*T1^2*T2^5 - 188*T1^3*T2^5 - 
     934*T1^4*T2^5 + 1842*T1^5*T2^5 - 510*T1^6*T2^5 - 510*T1^7*T2^5 + 
     1842*T1^8*T2^5 - 934*T1^9*T2^5 - 188*T1^10*T2^5 + 507*T1^11*T2^5 - 
     28*T1^12*T2^5 - 31*T1^13*T2^5 + 19*T2^6 + 84*T1*T2^6 - 463*T1^2*T2^6 - 
     188*T1^3*T2^6 + 956*T1^4*T2^6 - 510*T1^5*T2^6 - 2281*T1^6*T2^6 + 
     2999*T1^7*T2^6 - 2281*T1^8*T2^6 - 510*T1^9*T2^6 + 956*T1^10*T2^6 - 
     188*T1^11*T2^6 - 463*T1^12*T2^6 + 84*T1^13*T2^6 + 19*T1^14*T2^6 - 
     7*T2^7 - 84*T1*T2^7 + 189*T1^2*T2^7 + 730*T1^3*T2^7 - 934*T1^4*T2^7 - 
     510*T1^5*T2^7 + 2999*T1^6*T2^7 - 1390*T1^7*T2^7 - 1390*T1^8*T2^7 + 
     2999*T1^9*T2^7 - 510*T1^10*T2^7 - 934*T1^11*T2^7 + 730*T1^12*T2^7 + 
     189*T1^13*T2^7 - 84*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 
     43*T1^2*T2^8 - 630*T1^3*T2^8 - 194*T1^4*T2^8 + 1842*T1^5*T2^8 - 
     2281*T1^6*T2^8 - 1390*T1^7*T2^8 + 3096*T1^8*T2^8 - 1390*T1^9*T2^8 - 
     2281*T1^10*T2^8 + 1842*T1^11*T2^8 - 194*T1^12*T2^8 - 630*T1^13*T2^8 + 
     43*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 84*T1^2*T2^9 + 
     189*T1^3*T2^9 + 730*T1^4*T2^9 - 934*T1^5*T2^9 - 510*T1^6*T2^9 + 
     2999*T1^7*T2^9 - 1390*T1^8*T2^9 - 1390*T1^9*T2^9 + 2999*T1^10*T2^9 - 
     510*T1^11*T2^9 - 934*T1^12*T2^9 + 730*T1^13*T2^9 + 189*T1^14*T2^9 - 
     84*T1^15*T2^9 - 7*T1^16*T2^9 + 19*T1^2*T2^10 + 84*T1^3*T2^10 - 
     463*T1^4*T2^10 - 188*T1^5*T2^10 + 956*T1^6*T2^10 - 510*T1^7*T2^10 - 
     2281*T1^8*T2^10 + 2999*T1^9*T2^10 - 2281*T1^10*T2^10 - 510*T1^11*T2^10 + 
     956*T1^12*T2^10 - 188*T1^13*T2^10 - 463*T1^14*T2^10 + 84*T1^15*T2^10 + 
     19*T1^16*T2^10 - 31*T1^3*T2^11 - 28*T1^4*T2^11 + 507*T1^5*T2^11 - 
     188*T1^6*T2^11 - 934*T1^7*T2^11 + 1842*T1^8*T2^11 - 510*T1^9*T2^11 - 
     510*T1^10*T2^11 + 1842*T1^11*T2^11 - 934*T1^12*T2^11 - 188*T1^13*T2^11 + 
     507*T1^14*T2^11 - 28*T1^15*T2^11 - 31*T1^16*T2^11 + 35*T1^4*T2^12 - 
     28*T1^5*T2^12 - 463*T1^6*T2^12 + 730*T1^7*T2^12 - 194*T1^8*T2^12 - 
     934*T1^9*T2^12 + 956*T1^10*T2^12 - 934*T1^11*T2^12 - 194*T1^12*T2^12 + 
     730*T1^13*T2^12 - 463*T1^14*T2^12 - 28*T1^15*T2^12 + 35*T1^16*T2^12 - 
     31*T1^5*T2^13 + 84*T1^6*T2^13 + 189*T1^7*T2^13 - 630*T1^8*T2^13 + 
     730*T1^9*T2^13 - 188*T1^10*T2^13 - 188*T1^11*T2^13 + 730*T1^12*T2^13 - 
     630*T1^13*T2^13 + 189*T1^14*T2^13 + 84*T1^15*T2^13 - 31*T1^16*T2^13 + 
     19*T1^6*T2^14 - 84*T1^7*T2^14 + 43*T1^8*T2^14 + 189*T1^9*T2^14 - 
     463*T1^10*T2^14 + 507*T1^11*T2^14 - 463*T1^12*T2^14 + 189*T1^13*T2^14 + 
     43*T1^14*T2^14 - 84*T1^15*T2^14 + 19*T1^16*T2^14 - 7*T1^7*T2^15 + 
     42*T1^8*T2^15 - 84*T1^9*T2^15 + 84*T1^10*T2^15 - 28*T1^11*T2^15 - 
     28*T1^12*T2^15 + 84*T1^13*T2^15 - 84*T1^14*T2^15 + 42*T1^15*T2^15 - 
     7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 19*T1^10*T2^16 - 
     31*T1^11*T2^16 + 35*T1^12*T2^16 - 31*T1^13*T2^16 + 19*T1^14*T2^16 - 
     7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 513] -> 
  {((2 - 2*T + T^2)*(2 - 3*T + 2*T^2)*(1 - 2*T + 2*T^2))/T^3, 
   -((80 - 348*T1 + 760*T1^2 - 960*T1^3 + 760*T1^4 - 348*T1^5 + 80*T1^6 - 
      348*T2 + 1174*T1*T2 - 1812*T1^2*T2 + 884*T1^3*T2 + 884*T1^4*T2 - 
      1812*T1^5*T2 + 1174*T1^6*T2 - 348*T1^7*T2 + 760*T2^2 - 1812*T1*T2^2 + 
      1423*T1^2*T2^2 + 2027*T1^3*T2^2 - 3915*T1^4*T2^2 + 2027*T1^5*T2^2 + 
      1423*T1^6*T2^2 - 1812*T1^7*T2^2 + 760*T1^8*T2^2 - 960*T2^3 + 
      884*T1*T2^3 + 2027*T1^2*T2^3 - 6832*T1^3*T2^3 + 3656*T1^4*T2^3 + 
      3656*T1^5*T2^3 - 6832*T1^6*T2^3 + 2027*T1^7*T2^3 + 884*T1^8*T2^3 - 
      960*T1^9*T2^3 + 760*T2^4 + 884*T1*T2^4 - 3915*T1^2*T2^4 + 
      3656*T1^3*T2^4 + 8738*T1^4*T2^4 - 15408*T1^5*T2^4 + 8738*T1^6*T2^4 + 
      3656*T1^7*T2^4 - 3915*T1^8*T2^4 + 884*T1^9*T2^4 + 760*T1^10*T2^4 - 
      348*T2^5 - 1812*T1*T2^5 + 2027*T1^2*T2^5 + 3656*T1^3*T2^5 - 
      15408*T1^4*T2^5 + 8312*T1^5*T2^5 + 8312*T1^6*T2^5 - 15408*T1^7*T2^5 + 
      3656*T1^8*T2^5 + 2027*T1^9*T2^5 - 1812*T1^10*T2^5 - 348*T1^11*T2^5 + 
      80*T2^6 + 1174*T1*T2^6 + 1423*T1^2*T2^6 - 6832*T1^3*T2^6 + 
      8738*T1^4*T2^6 + 8312*T1^5*T2^6 - 17676*T1^6*T2^6 + 8312*T1^7*T2^6 + 
      8738*T1^8*T2^6 - 6832*T1^9*T2^6 + 1423*T1^10*T2^6 + 1174*T1^11*T2^6 + 
      80*T1^12*T2^6 - 348*T1*T2^7 - 1812*T1^2*T2^7 + 2027*T1^3*T2^7 + 
      3656*T1^4*T2^7 - 15408*T1^5*T2^7 + 8312*T1^6*T2^7 + 8312*T1^7*T2^7 - 
      15408*T1^8*T2^7 + 3656*T1^9*T2^7 + 2027*T1^10*T2^7 - 1812*T1^11*T2^7 - 
      348*T1^12*T2^7 + 760*T1^2*T2^8 + 884*T1^3*T2^8 - 3915*T1^4*T2^8 + 
      3656*T1^5*T2^8 + 8738*T1^6*T2^8 - 15408*T1^7*T2^8 + 8738*T1^8*T2^8 + 
      3656*T1^9*T2^8 - 3915*T1^10*T2^8 + 884*T1^11*T2^8 + 760*T1^12*T2^8 - 
      960*T1^3*T2^9 + 884*T1^4*T2^9 + 2027*T1^5*T2^9 - 6832*T1^6*T2^9 + 
      3656*T1^7*T2^9 + 3656*T1^8*T2^9 - 6832*T1^9*T2^9 + 2027*T1^10*T2^9 + 
      884*T1^11*T2^9 - 960*T1^12*T2^9 + 760*T1^4*T2^10 - 1812*T1^5*T2^10 + 
      1423*T1^6*T2^10 + 2027*T1^7*T2^10 - 3915*T1^8*T2^10 + 2027*T1^9*T2^10 + 
      1423*T1^10*T2^10 - 1812*T1^11*T2^10 + 760*T1^12*T2^10 - 
      348*T1^5*T2^11 + 1174*T1^6*T2^11 - 1812*T1^7*T2^11 + 884*T1^8*T2^11 + 
      884*T1^9*T2^11 - 1812*T1^10*T2^11 + 1174*T1^11*T2^11 - 
      348*T1^12*T2^11 + 80*T1^6*T2^12 - 348*T1^7*T2^12 + 760*T1^8*T2^12 - 
      960*T1^9*T2^12 + 760*T1^10*T2^12 - 348*T1^11*T2^12 + 80*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, Alternating, 514] -> 
  {(4 - 19*T + 43*T^2 - 55*T^3 + 43*T^4 - 19*T^5 + 4*T^6)/T^3, 
   -((80 - 368*T1 + 820*T1^2 - 1040*T1^3 + 820*T1^4 - 368*T1^5 + 80*T1^6 - 
      368*T2 + 1332*T1*T2 - 2096*T1^2*T2 + 1024*T1^3*T2 + 1024*T1^4*T2 - 
      2096*T1^5*T2 + 1332*T1^6*T2 - 368*T1^7*T2 + 820*T2^2 - 2096*T1*T2^2 + 
      1456*T1^2*T2^2 + 2990*T1^3*T2^2 - 5366*T1^4*T2^2 + 2990*T1^5*T2^2 + 
      1456*T1^6*T2^2 - 2096*T1^7*T2^2 + 820*T1^8*T2^2 - 1040*T2^3 + 
      1024*T1*T2^3 + 2990*T1^2*T2^3 - 9162*T1^3*T2^3 + 4784*T1^4*T2^3 + 
      4784*T1^5*T2^3 - 9162*T1^6*T2^3 + 2990*T1^7*T2^3 + 1024*T1^8*T2^3 - 
      1040*T1^9*T2^3 + 820*T2^4 + 1024*T1*T2^4 - 5366*T1^2*T2^4 + 
      4784*T1^3*T2^4 + 11669*T1^4*T2^4 - 20161*T1^5*T2^4 + 11669*T1^6*T2^4 + 
      4784*T1^7*T2^4 - 5366*T1^8*T2^4 + 1024*T1^9*T2^4 + 820*T1^10*T2^4 - 
      368*T2^5 - 2096*T1*T2^5 + 2990*T1^2*T2^5 + 4784*T1^3*T2^5 - 
      20161*T1^4*T2^5 + 10566*T1^5*T2^5 + 10566*T1^6*T2^5 - 20161*T1^7*T2^5 + 
      4784*T1^8*T2^5 + 2990*T1^9*T2^5 - 2096*T1^10*T2^5 - 368*T1^11*T2^5 + 
      80*T2^6 + 1332*T1*T2^6 + 1456*T1^2*T2^6 - 9162*T1^3*T2^6 + 
      11669*T1^4*T2^6 + 10566*T1^5*T2^6 - 22092*T1^6*T2^6 + 10566*T1^7*T2^6 + 
      11669*T1^8*T2^6 - 9162*T1^9*T2^6 + 1456*T1^10*T2^6 + 1332*T1^11*T2^6 + 
      80*T1^12*T2^6 - 368*T1*T2^7 - 2096*T1^2*T2^7 + 2990*T1^3*T2^7 + 
      4784*T1^4*T2^7 - 20161*T1^5*T2^7 + 10566*T1^6*T2^7 + 10566*T1^7*T2^7 - 
      20161*T1^8*T2^7 + 4784*T1^9*T2^7 + 2990*T1^10*T2^7 - 2096*T1^11*T2^7 - 
      368*T1^12*T2^7 + 820*T1^2*T2^8 + 1024*T1^3*T2^8 - 5366*T1^4*T2^8 + 
      4784*T1^5*T2^8 + 11669*T1^6*T2^8 - 20161*T1^7*T2^8 + 11669*T1^8*T2^8 + 
      4784*T1^9*T2^8 - 5366*T1^10*T2^8 + 1024*T1^11*T2^8 + 820*T1^12*T2^8 - 
      1040*T1^3*T2^9 + 1024*T1^4*T2^9 + 2990*T1^5*T2^9 - 9162*T1^6*T2^9 + 
      4784*T1^7*T2^9 + 4784*T1^8*T2^9 - 9162*T1^9*T2^9 + 2990*T1^10*T2^9 + 
      1024*T1^11*T2^9 - 1040*T1^12*T2^9 + 820*T1^4*T2^10 - 2096*T1^5*T2^10 + 
      1456*T1^6*T2^10 + 2990*T1^7*T2^10 - 5366*T1^8*T2^10 + 2990*T1^9*T2^10 + 
      1456*T1^10*T2^10 - 2096*T1^11*T2^10 + 820*T1^12*T2^10 - 
      368*T1^5*T2^11 + 1332*T1^6*T2^11 - 2096*T1^7*T2^11 + 1024*T1^8*T2^11 + 
      1024*T1^9*T2^11 - 2096*T1^10*T2^11 + 1332*T1^11*T2^11 - 
      368*T1^12*T2^11 + 80*T1^6*T2^12 - 368*T1^7*T2^12 + 820*T1^8*T2^12 - 
      1040*T1^9*T2^12 + 820*T1^10*T2^12 - 368*T1^11*T2^12 + 80*T1^12*T2^12)/
     (T1^6*T2^6))}, 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, 
   -((2 - 8*T1 + 10*T1^2 - 10*T1^3 + 10*T1^4 - 8*T1^5 + 2*T1^6 - 8*T2 + 
      18*T1*T2 + 18*T1^2*T2 - 16*T1^3*T2 - 16*T1^4*T2 + 18*T1^5*T2 + 
      18*T1^6*T2 - 8*T1^7*T2 + 10*T2^2 + 18*T1*T2^2 - 142*T1^2*T2^2 - 
      60*T1^3*T2^2 + 204*T1^4*T2^2 - 60*T1^5*T2^2 - 142*T1^6*T2^2 + 
      18*T1^7*T2^2 + 10*T1^8*T2^2 - 10*T2^3 - 16*T1*T2^3 - 60*T1^2*T2^3 + 
      878*T1^3*T2^3 - 526*T1^4*T2^3 - 526*T1^5*T2^3 + 878*T1^6*T2^3 - 
      60*T1^7*T2^3 - 16*T1^8*T2^3 - 10*T1^9*T2^3 + 10*T2^4 - 16*T1*T2^4 + 
      204*T1^2*T2^4 - 526*T1^3*T2^4 - 2155*T1^4*T2^4 + 3673*T1^5*T2^4 - 
      2155*T1^6*T2^4 - 526*T1^7*T2^4 + 204*T1^8*T2^4 - 16*T1^9*T2^4 + 
      10*T1^10*T2^4 - 8*T2^5 + 18*T1*T2^5 - 60*T1^2*T2^5 - 526*T1^3*T2^5 + 
      3673*T1^4*T2^5 - 2018*T1^5*T2^5 - 2018*T1^6*T2^5 + 3673*T1^7*T2^5 - 
      526*T1^8*T2^5 - 60*T1^9*T2^5 + 18*T1^10*T2^5 - 8*T1^11*T2^5 + 2*T2^6 + 
      18*T1*T2^6 - 142*T1^2*T2^6 + 878*T1^3*T2^6 - 2155*T1^4*T2^6 - 
      2018*T1^5*T2^6 + 4284*T1^6*T2^6 - 2018*T1^7*T2^6 - 2155*T1^8*T2^6 + 
      878*T1^9*T2^6 - 142*T1^10*T2^6 + 18*T1^11*T2^6 + 2*T1^12*T2^6 - 
      8*T1*T2^7 + 18*T1^2*T2^7 - 60*T1^3*T2^7 - 526*T1^4*T2^7 + 
      3673*T1^5*T2^7 - 2018*T1^6*T2^7 - 2018*T1^7*T2^7 + 3673*T1^8*T2^7 - 
      526*T1^9*T2^7 - 60*T1^10*T2^7 + 18*T1^11*T2^7 - 8*T1^12*T2^7 + 
      10*T1^2*T2^8 - 16*T1^3*T2^8 + 204*T1^4*T2^8 - 526*T1^5*T2^8 - 
      2155*T1^6*T2^8 + 3673*T1^7*T2^8 - 2155*T1^8*T2^8 - 526*T1^9*T2^8 + 
      204*T1^10*T2^8 - 16*T1^11*T2^8 + 10*T1^12*T2^8 - 10*T1^3*T2^9 - 
      16*T1^4*T2^9 - 60*T1^5*T2^9 + 878*T1^6*T2^9 - 526*T1^7*T2^9 - 
      526*T1^8*T2^9 + 878*T1^9*T2^9 - 60*T1^10*T2^9 - 16*T1^11*T2^9 - 
      10*T1^12*T2^9 + 10*T1^4*T2^10 + 18*T1^5*T2^10 - 142*T1^6*T2^10 - 
      60*T1^7*T2^10 + 204*T1^8*T2^10 - 60*T1^9*T2^10 - 142*T1^10*T2^10 + 
      18*T1^11*T2^10 + 10*T1^12*T2^10 - 8*T1^5*T2^11 + 18*T1^6*T2^11 + 
      18*T1^7*T2^11 - 16*T1^8*T2^11 - 16*T1^9*T2^11 + 18*T1^10*T2^11 + 
      18*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)/(T1^6*T2^6))}, 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), -((1 - 7*T1 + 23*T1^2 - 47*T1^3 + 59*T1^4 - 47*T1^5 + 23*T1^6 - 
      7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 112*T1^2*T2 + 168*T1^3*T2 - 
      84*T1^4*T2 - 84*T1^5*T2 + 168*T1^6*T2 - 112*T1^7*T2 + 42*T1^8*T2 - 
      7*T1^9*T2 + 23*T2^2 - 112*T1*T2^2 + 207*T1^2*T2^2 - 107*T1^3*T2^2 - 
      437*T1^4*T2^2 + 757*T1^5*T2^2 - 437*T1^6*T2^2 - 107*T1^7*T2^2 + 
      207*T1^8*T2^2 - 112*T1^9*T2^2 + 23*T1^10*T2^2 - 47*T2^3 + 168*T1*T2^3 - 
      107*T1^2*T2^3 - 432*T1^3*T2^3 + 1464*T1^4*T2^3 - 836*T1^5*T2^3 - 
      836*T1^6*T2^3 + 1464*T1^7*T2^3 - 432*T1^8*T2^3 - 107*T1^9*T2^3 + 
      168*T1^10*T2^3 - 47*T1^11*T2^3 + 59*T2^4 - 84*T1*T2^4 - 437*T1^2*T2^4 + 
      1464*T1^3*T2^4 - 2200*T1^4*T2^4 - 968*T1^5*T2^4 + 2996*T1^6*T2^4 - 
      968*T1^7*T2^4 - 2200*T1^8*T2^4 + 1464*T1^9*T2^4 - 437*T1^10*T2^4 - 
      84*T1^11*T2^4 + 59*T1^12*T2^4 - 47*T2^5 - 84*T1*T2^5 + 757*T1^2*T2^5 - 
      836*T1^3*T2^5 - 968*T1^4*T2^5 + 6790*T1^5*T2^5 - 4016*T1^6*T2^5 - 
      4016*T1^7*T2^5 + 6790*T1^8*T2^5 - 968*T1^9*T2^5 - 836*T1^10*T2^5 + 
      757*T1^11*T2^5 - 84*T1^12*T2^5 - 47*T1^13*T2^5 + 23*T2^6 + 
      168*T1*T2^6 - 437*T1^2*T2^6 - 836*T1^3*T2^6 + 2996*T1^4*T2^6 - 
      4016*T1^5*T2^6 - 10171*T1^6*T2^6 + 18677*T1^7*T2^6 - 10171*T1^8*T2^6 - 
      4016*T1^9*T2^6 + 2996*T1^10*T2^6 - 836*T1^11*T2^6 - 437*T1^12*T2^6 + 
      168*T1^13*T2^6 + 23*T1^14*T2^6 - 7*T2^7 - 112*T1*T2^7 - 107*T1^2*T2^7 + 
      1464*T1^3*T2^7 - 968*T1^4*T2^7 - 4016*T1^5*T2^7 + 18677*T1^6*T2^7 - 
      10724*T1^7*T2^7 - 10724*T1^8*T2^7 + 18677*T1^9*T2^7 - 4016*T1^10*T2^7 - 
      968*T1^11*T2^7 + 1464*T1^12*T2^7 - 107*T1^13*T2^7 - 112*T1^14*T2^7 - 
      7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 207*T1^2*T2^8 - 432*T1^3*T2^8 - 
      2200*T1^4*T2^8 + 6790*T1^5*T2^8 - 10171*T1^6*T2^8 - 10724*T1^7*T2^8 + 
      23496*T1^8*T2^8 - 10724*T1^9*T2^8 - 10171*T1^10*T2^8 + 
      6790*T1^11*T2^8 - 2200*T1^12*T2^8 - 432*T1^13*T2^8 + 207*T1^14*T2^8 + 
      42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 112*T1^2*T2^9 - 
      107*T1^3*T2^9 + 1464*T1^4*T2^9 - 968*T1^5*T2^9 - 4016*T1^6*T2^9 + 
      18677*T1^7*T2^9 - 10724*T1^8*T2^9 - 10724*T1^9*T2^9 + 
      18677*T1^10*T2^9 - 4016*T1^11*T2^9 - 968*T1^12*T2^9 + 1464*T1^13*T2^9 - 
      107*T1^14*T2^9 - 112*T1^15*T2^9 - 7*T1^16*T2^9 + 23*T1^2*T2^10 + 
      168*T1^3*T2^10 - 437*T1^4*T2^10 - 836*T1^5*T2^10 + 2996*T1^6*T2^10 - 
      4016*T1^7*T2^10 - 10171*T1^8*T2^10 + 18677*T1^9*T2^10 - 
      10171*T1^10*T2^10 - 4016*T1^11*T2^10 + 2996*T1^12*T2^10 - 
      836*T1^13*T2^10 - 437*T1^14*T2^10 + 168*T1^15*T2^10 + 23*T1^16*T2^10 - 
      47*T1^3*T2^11 - 84*T1^4*T2^11 + 757*T1^5*T2^11 - 836*T1^6*T2^11 - 
      968*T1^7*T2^11 + 6790*T1^8*T2^11 - 4016*T1^9*T2^11 - 4016*T1^10*T2^11 + 
      6790*T1^11*T2^11 - 968*T1^12*T2^11 - 836*T1^13*T2^11 + 
      757*T1^14*T2^11 - 84*T1^15*T2^11 - 47*T1^16*T2^11 + 59*T1^4*T2^12 - 
      84*T1^5*T2^12 - 437*T1^6*T2^12 + 1464*T1^7*T2^12 - 2200*T1^8*T2^12 - 
      968*T1^9*T2^12 + 2996*T1^10*T2^12 - 968*T1^11*T2^12 - 
      2200*T1^12*T2^12 + 1464*T1^13*T2^12 - 437*T1^14*T2^12 - 
      84*T1^15*T2^12 + 59*T1^16*T2^12 - 47*T1^5*T2^13 + 168*T1^6*T2^13 - 
      107*T1^7*T2^13 - 432*T1^8*T2^13 + 1464*T1^9*T2^13 - 836*T1^10*T2^13 - 
      836*T1^11*T2^13 + 1464*T1^12*T2^13 - 432*T1^13*T2^13 - 
      107*T1^14*T2^13 + 168*T1^15*T2^13 - 47*T1^16*T2^13 + 23*T1^6*T2^14 - 
      112*T1^7*T2^14 + 207*T1^8*T2^14 - 107*T1^9*T2^14 - 437*T1^10*T2^14 + 
      757*T1^11*T2^14 - 437*T1^12*T2^14 - 107*T1^13*T2^14 + 207*T1^14*T2^14 - 
      112*T1^15*T2^14 + 23*T1^16*T2^14 - 7*T1^7*T2^15 + 42*T1^8*T2^15 - 
      112*T1^9*T2^15 + 168*T1^10*T2^15 - 84*T1^11*T2^15 - 84*T1^12*T2^15 + 
      168*T1^13*T2^15 - 112*T1^14*T2^15 + 42*T1^15*T2^15 - 7*T1^16*T2^15 + 
      T1^8*T2^16 - 7*T1^9*T2^16 + 23*T1^10*T2^16 - 47*T1^11*T2^16 + 
      59*T1^12*T2^16 - 47*T1^13*T2^16 + 23*T1^14*T2^16 - 7*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, 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, 
   (2 - 14*T1 + 38*T1^2 - 58*T1^3 + 66*T1^4 - 58*T1^5 + 38*T1^6 - 14*T1^7 + 
     2*T1^8 - 14*T2 + 84*T1*T2 - 168*T1^2*T2 + 140*T1^3*T2 - 56*T1^4*T2 - 
     56*T1^5*T2 + 140*T1^6*T2 - 168*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
     38*T2^2 - 168*T1*T2^2 + 80*T1^2*T2^2 + 472*T1^3*T2^2 - 836*T1^4*T2^2 + 
     996*T1^5*T2^2 - 836*T1^6*T2^2 + 472*T1^7*T2^2 + 80*T1^8*T2^2 - 
     168*T1^9*T2^2 + 38*T1^10*T2^2 - 58*T2^3 + 140*T1*T2^3 + 472*T1^2*T2^3 - 
     1520*T1^3*T2^3 + 1156*T1^4*T2^3 - 484*T1^5*T2^3 - 484*T1^6*T2^3 + 
     1156*T1^7*T2^3 - 1520*T1^8*T2^3 + 472*T1^9*T2^3 + 140*T1^10*T2^3 - 
     58*T1^11*T2^3 + 66*T2^4 - 56*T1*T2^4 - 836*T1^2*T2^4 + 1156*T1^3*T2^4 + 
     1201*T1^4*T2^4 - 2315*T1^5*T2^4 + 2959*T1^6*T2^4 - 2315*T1^7*T2^4 + 
     1201*T1^8*T2^4 + 1156*T1^9*T2^4 - 836*T1^10*T2^4 - 56*T1^11*T2^4 + 
     66*T1^12*T2^4 - 58*T2^5 - 56*T1*T2^5 + 996*T1^2*T2^5 - 484*T1^3*T2^5 - 
     2315*T1^4*T2^5 + 1524*T1^5*T2^5 - 836*T1^6*T2^5 - 836*T1^7*T2^5 + 
     1524*T1^8*T2^5 - 2315*T1^9*T2^5 - 484*T1^10*T2^5 + 996*T1^11*T2^5 - 
     56*T1^12*T2^5 - 58*T1^13*T2^5 + 38*T2^6 + 140*T1*T2^6 - 836*T1^2*T2^6 - 
     484*T1^3*T2^6 + 2959*T1^4*T2^6 - 836*T1^5*T2^6 + 527*T1^6*T2^6 + 
     469*T1^7*T2^6 + 527*T1^8*T2^6 - 836*T1^9*T2^6 + 2959*T1^10*T2^6 - 
     484*T1^11*T2^6 - 836*T1^12*T2^6 + 140*T1^13*T2^6 + 38*T1^14*T2^6 - 
     14*T2^7 - 168*T1*T2^7 + 472*T1^2*T2^7 + 1156*T1^3*T2^7 - 
     2315*T1^4*T2^7 - 836*T1^5*T2^7 + 469*T1^6*T2^7 - 852*T1^7*T2^7 - 
     852*T1^8*T2^7 + 469*T1^9*T2^7 - 836*T1^10*T2^7 - 2315*T1^11*T2^7 + 
     1156*T1^12*T2^7 + 472*T1^13*T2^7 - 168*T1^14*T2^7 - 14*T1^15*T2^7 + 
     2*T2^8 + 84*T1*T2^8 + 80*T1^2*T2^8 - 1520*T1^3*T2^8 + 1201*T1^4*T2^8 + 
     1524*T1^5*T2^8 + 527*T1^6*T2^8 - 852*T1^7*T2^8 + 2316*T1^8*T2^8 - 
     852*T1^9*T2^8 + 527*T1^10*T2^8 + 1524*T1^11*T2^8 + 1201*T1^12*T2^8 - 
     1520*T1^13*T2^8 + 80*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 
     14*T1*T2^9 - 168*T1^2*T2^9 + 472*T1^3*T2^9 + 1156*T1^4*T2^9 - 
     2315*T1^5*T2^9 - 836*T1^6*T2^9 + 469*T1^7*T2^9 - 852*T1^8*T2^9 - 
     852*T1^9*T2^9 + 469*T1^10*T2^9 - 836*T1^11*T2^9 - 2315*T1^12*T2^9 + 
     1156*T1^13*T2^9 + 472*T1^14*T2^9 - 168*T1^15*T2^9 - 14*T1^16*T2^9 + 
     38*T1^2*T2^10 + 140*T1^3*T2^10 - 836*T1^4*T2^10 - 484*T1^5*T2^10 + 
     2959*T1^6*T2^10 - 836*T1^7*T2^10 + 527*T1^8*T2^10 + 469*T1^9*T2^10 + 
     527*T1^10*T2^10 - 836*T1^11*T2^10 + 2959*T1^12*T2^10 - 484*T1^13*T2^10 - 
     836*T1^14*T2^10 + 140*T1^15*T2^10 + 38*T1^16*T2^10 - 58*T1^3*T2^11 - 
     56*T1^4*T2^11 + 996*T1^5*T2^11 - 484*T1^6*T2^11 - 2315*T1^7*T2^11 + 
     1524*T1^8*T2^11 - 836*T1^9*T2^11 - 836*T1^10*T2^11 + 1524*T1^11*T2^11 - 
     2315*T1^12*T2^11 - 484*T1^13*T2^11 + 996*T1^14*T2^11 - 56*T1^15*T2^11 - 
     58*T1^16*T2^11 + 66*T1^4*T2^12 - 56*T1^5*T2^12 - 836*T1^6*T2^12 + 
     1156*T1^7*T2^12 + 1201*T1^8*T2^12 - 2315*T1^9*T2^12 + 2959*T1^10*T2^12 - 
     2315*T1^11*T2^12 + 1201*T1^12*T2^12 + 1156*T1^13*T2^12 - 
     836*T1^14*T2^12 - 56*T1^15*T2^12 + 66*T1^16*T2^12 - 58*T1^5*T2^13 + 
     140*T1^6*T2^13 + 472*T1^7*T2^13 - 1520*T1^8*T2^13 + 1156*T1^9*T2^13 - 
     484*T1^10*T2^13 - 484*T1^11*T2^13 + 1156*T1^12*T2^13 - 
     1520*T1^13*T2^13 + 472*T1^14*T2^13 + 140*T1^15*T2^13 - 58*T1^16*T2^13 + 
     38*T1^6*T2^14 - 168*T1^7*T2^14 + 80*T1^8*T2^14 + 472*T1^9*T2^14 - 
     836*T1^10*T2^14 + 996*T1^11*T2^14 - 836*T1^12*T2^14 + 472*T1^13*T2^14 + 
     80*T1^14*T2^14 - 168*T1^15*T2^14 + 38*T1^16*T2^14 - 14*T1^7*T2^15 + 
     84*T1^8*T2^15 - 168*T1^9*T2^15 + 140*T1^10*T2^15 - 56*T1^11*T2^15 - 
     56*T1^12*T2^15 + 140*T1^13*T2^15 - 168*T1^14*T2^15 + 84*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)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 518] -> 
  {-((2 - 13*T + 37*T^2 - 53*T^3 + 37*T^4 - 13*T^5 + 2*T^6)/T^3), 
   -((1 - 7*T1 + 21*T1^2 - 31*T1^3 + 21*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 98*T1^2*T2 + 70*T1^3*T2 + 70*T1^4*T2 - 98*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 21*T2^2 - 98*T1*T2^2 + 126*T1^2*T2^2 + 
      192*T1^3*T2^2 - 570*T1^4*T2^2 + 192*T1^5*T2^2 + 126*T1^6*T2^2 - 
      98*T1^7*T2^2 + 21*T1^8*T2^2 - 31*T2^3 + 70*T1*T2^3 + 192*T1^2*T2^3 - 
      982*T1^3*T2^3 + 920*T1^4*T2^3 + 920*T1^5*T2^3 - 982*T1^6*T2^3 + 
      192*T1^7*T2^3 + 70*T1^8*T2^3 - 31*T1^9*T2^3 + 21*T2^4 + 70*T1*T2^4 - 
      570*T1^2*T2^4 + 920*T1^3*T2^4 + 1247*T1^4*T2^4 - 4245*T1^5*T2^4 + 
      1247*T1^6*T2^4 + 920*T1^7*T2^4 - 570*T1^8*T2^4 + 70*T1^9*T2^4 + 
      21*T1^10*T2^4 - 7*T2^5 - 98*T1*T2^5 + 192*T1^2*T2^5 + 920*T1^3*T2^5 - 
      4245*T1^4*T2^5 + 4004*T1^5*T2^5 + 4004*T1^6*T2^5 - 4245*T1^7*T2^5 + 
      920*T1^8*T2^5 + 192*T1^9*T2^5 - 98*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 + 126*T1^2*T2^6 - 982*T1^3*T2^6 + 1247*T1^4*T2^6 + 
      4004*T1^5*T2^6 - 10728*T1^6*T2^6 + 4004*T1^7*T2^6 + 1247*T1^8*T2^6 - 
      982*T1^9*T2^6 + 126*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 98*T1^2*T2^7 + 192*T1^3*T2^7 + 920*T1^4*T2^7 - 
      4245*T1^5*T2^7 + 4004*T1^6*T2^7 + 4004*T1^7*T2^7 - 4245*T1^8*T2^7 + 
      920*T1^9*T2^7 + 192*T1^10*T2^7 - 98*T1^11*T2^7 - 7*T1^12*T2^7 + 
      21*T1^2*T2^8 + 70*T1^3*T2^8 - 570*T1^4*T2^8 + 920*T1^5*T2^8 + 
      1247*T1^6*T2^8 - 4245*T1^7*T2^8 + 1247*T1^8*T2^8 + 920*T1^9*T2^8 - 
      570*T1^10*T2^8 + 70*T1^11*T2^8 + 21*T1^12*T2^8 - 31*T1^3*T2^9 + 
      70*T1^4*T2^9 + 192*T1^5*T2^9 - 982*T1^6*T2^9 + 920*T1^7*T2^9 + 
      920*T1^8*T2^9 - 982*T1^9*T2^9 + 192*T1^10*T2^9 + 70*T1^11*T2^9 - 
      31*T1^12*T2^9 + 21*T1^4*T2^10 - 98*T1^5*T2^10 + 126*T1^6*T2^10 + 
      192*T1^7*T2^10 - 570*T1^8*T2^10 + 192*T1^9*T2^10 + 126*T1^10*T2^10 - 
      98*T1^11*T2^10 + 21*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      98*T1^7*T2^11 + 70*T1^8*T2^11 + 70*T1^9*T2^11 - 98*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      21*T1^8*T2^12 - 31*T1^9*T2^12 + 21*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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), -((25 - 99*T1 + 171*T1^2 - 243*T1^3 + 279*T1^4 - 243*T1^5 + 
      171*T1^6 - 99*T1^7 + 25*T1^8 - 99*T2 + 294*T1*T2 - 288*T1^2*T2 + 
      288*T1^3*T2 - 144*T1^4*T2 - 144*T1^5*T2 + 288*T1^6*T2 - 288*T1^7*T2 + 
      294*T1^8*T2 - 99*T1^9*T2 + 171*T2^2 - 288*T1*T2^2 - 214*T1^2*T2^2 + 
      390*T1^3*T2^2 - 814*T1^4*T2^2 + 1146*T1^5*T2^2 - 814*T1^6*T2^2 + 
      390*T1^7*T2^2 - 214*T1^8*T2^2 - 288*T1^9*T2^2 + 171*T1^10*T2^2 - 
      243*T2^3 + 288*T1*T2^3 + 390*T1^2*T2^3 - 20*T1^3*T2^3 + 344*T1^4*T2^3 - 
      328*T1^5*T2^3 - 328*T1^6*T2^3 + 344*T1^7*T2^3 - 20*T1^8*T2^3 + 
      390*T1^9*T2^3 + 288*T1^10*T2^3 - 243*T1^11*T2^3 + 279*T2^4 - 
      144*T1*T2^4 - 814*T1^2*T2^4 + 344*T1^3*T2^4 - 1461*T1^4*T2^4 + 
      1627*T1^5*T2^4 - 1265*T1^6*T2^4 + 1627*T1^7*T2^4 - 1461*T1^8*T2^4 + 
      344*T1^9*T2^4 - 814*T1^10*T2^4 - 144*T1^11*T2^4 + 279*T1^12*T2^4 - 
      243*T2^5 - 144*T1*T2^5 + 1146*T1^2*T2^5 - 328*T1^3*T2^5 + 
      1627*T1^4*T2^5 - 830*T1^5*T2^5 + 18*T1^6*T2^5 + 18*T1^7*T2^5 - 
      830*T1^8*T2^5 + 1627*T1^9*T2^5 - 328*T1^10*T2^5 + 1146*T1^11*T2^5 - 
      144*T1^12*T2^5 - 243*T1^13*T2^5 + 171*T2^6 + 288*T1*T2^6 - 
      814*T1^2*T2^6 - 328*T1^3*T2^6 - 1265*T1^4*T2^6 + 18*T1^5*T2^6 - 
      58*T1^6*T2^6 + 638*T1^7*T2^6 - 58*T1^8*T2^6 + 18*T1^9*T2^6 - 
      1265*T1^10*T2^6 - 328*T1^11*T2^6 - 814*T1^12*T2^6 + 288*T1^13*T2^6 + 
      171*T1^14*T2^6 - 99*T2^7 - 288*T1*T2^7 + 390*T1^2*T2^7 + 
      344*T1^3*T2^7 + 1627*T1^4*T2^7 + 18*T1^5*T2^7 + 638*T1^6*T2^7 - 
      658*T1^7*T2^7 - 658*T1^8*T2^7 + 638*T1^9*T2^7 + 18*T1^10*T2^7 + 
      1627*T1^11*T2^7 + 344*T1^12*T2^7 + 390*T1^13*T2^7 - 288*T1^14*T2^7 - 
      99*T1^15*T2^7 + 25*T2^8 + 294*T1*T2^8 - 214*T1^2*T2^8 - 20*T1^3*T2^8 - 
      1461*T1^4*T2^8 - 830*T1^5*T2^8 - 58*T1^6*T2^8 - 658*T1^7*T2^8 + 
      1680*T1^8*T2^8 - 658*T1^9*T2^8 - 58*T1^10*T2^8 - 830*T1^11*T2^8 - 
      1461*T1^12*T2^8 - 20*T1^13*T2^8 - 214*T1^14*T2^8 + 294*T1^15*T2^8 + 
      25*T1^16*T2^8 - 99*T1*T2^9 - 288*T1^2*T2^9 + 390*T1^3*T2^9 + 
      344*T1^4*T2^9 + 1627*T1^5*T2^9 + 18*T1^6*T2^9 + 638*T1^7*T2^9 - 
      658*T1^8*T2^9 - 658*T1^9*T2^9 + 638*T1^10*T2^9 + 18*T1^11*T2^9 + 
      1627*T1^12*T2^9 + 344*T1^13*T2^9 + 390*T1^14*T2^9 - 288*T1^15*T2^9 - 
      99*T1^16*T2^9 + 171*T1^2*T2^10 + 288*T1^3*T2^10 - 814*T1^4*T2^10 - 
      328*T1^5*T2^10 - 1265*T1^6*T2^10 + 18*T1^7*T2^10 - 58*T1^8*T2^10 + 
      638*T1^9*T2^10 - 58*T1^10*T2^10 + 18*T1^11*T2^10 - 1265*T1^12*T2^10 - 
      328*T1^13*T2^10 - 814*T1^14*T2^10 + 288*T1^15*T2^10 + 171*T1^16*T2^10 - 
      243*T1^3*T2^11 - 144*T1^4*T2^11 + 1146*T1^5*T2^11 - 328*T1^6*T2^11 + 
      1627*T1^7*T2^11 - 830*T1^8*T2^11 + 18*T1^9*T2^11 + 18*T1^10*T2^11 - 
      830*T1^11*T2^11 + 1627*T1^12*T2^11 - 328*T1^13*T2^11 + 
      1146*T1^14*T2^11 - 144*T1^15*T2^11 - 243*T1^16*T2^11 + 279*T1^4*T2^12 - 
      144*T1^5*T2^12 - 814*T1^6*T2^12 + 344*T1^7*T2^12 - 1461*T1^8*T2^12 + 
      1627*T1^9*T2^12 - 1265*T1^10*T2^12 + 1627*T1^11*T2^12 - 
      1461*T1^12*T2^12 + 344*T1^13*T2^12 - 814*T1^14*T2^12 - 
      144*T1^15*T2^12 + 279*T1^16*T2^12 - 243*T1^5*T2^13 + 288*T1^6*T2^13 + 
      390*T1^7*T2^13 - 20*T1^8*T2^13 + 344*T1^9*T2^13 - 328*T1^10*T2^13 - 
      328*T1^11*T2^13 + 344*T1^12*T2^13 - 20*T1^13*T2^13 + 390*T1^14*T2^13 + 
      288*T1^15*T2^13 - 243*T1^16*T2^13 + 171*T1^6*T2^14 - 288*T1^7*T2^14 - 
      214*T1^8*T2^14 + 390*T1^9*T2^14 - 814*T1^10*T2^14 + 1146*T1^11*T2^14 - 
      814*T1^12*T2^14 + 390*T1^13*T2^14 - 214*T1^14*T2^14 - 288*T1^15*T2^14 + 
      171*T1^16*T2^14 - 99*T1^7*T2^15 + 294*T1^8*T2^15 - 288*T1^9*T2^15 + 
      288*T1^10*T2^15 - 144*T1^11*T2^15 - 144*T1^12*T2^15 + 288*T1^13*T2^15 - 
      288*T1^14*T2^15 + 294*T1^15*T2^15 - 99*T1^16*T2^15 + 25*T1^8*T2^16 - 
      99*T1^9*T2^16 + 171*T1^10*T2^16 - 243*T1^11*T2^16 + 279*T1^12*T2^16 - 
      243*T1^13*T2^16 + 171*T1^14*T2^16 - 99*T1^15*T2^16 + 25*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 520] -> 
  {-((4 - 17*T + 29*T^2 - 33*T^3 + 29*T^4 - 17*T^5 + 4*T^6)/T^3), 
   -((144 - 604*T1 + 1016*T1^2 - 1152*T1^3 + 1016*T1^4 - 604*T1^5 + 
      144*T1^6 - 604*T2 + 1934*T1*T2 - 1740*T1^2*T2 + 576*T1^3*T2 + 
      576*T1^4*T2 - 1740*T1^5*T2 + 1934*T1^6*T2 - 604*T1^7*T2 + 1016*T2^2 - 
      1740*T1*T2^2 - 2438*T1^2*T2^2 + 5680*T1^3*T2^2 - 6246*T1^4*T2^2 + 
      5680*T1^5*T2^2 - 2438*T1^6*T2^2 - 1740*T1^7*T2^2 + 1016*T1^8*T2^2 - 
      1152*T2^3 + 576*T1*T2^3 + 5680*T1^2*T2^3 - 5016*T1^3*T2^3 + 
      1270*T1^4*T2^3 + 1270*T1^5*T2^3 - 5016*T1^6*T2^3 + 5680*T1^7*T2^3 + 
      576*T1^8*T2^3 - 1152*T1^9*T2^3 + 1016*T2^4 + 576*T1*T2^4 - 
      6246*T1^2*T2^4 + 1270*T1^3*T2^4 + 2023*T1^4*T2^4 - 1699*T1^5*T2^4 + 
      2023*T1^6*T2^4 + 1270*T1^7*T2^4 - 6246*T1^8*T2^4 + 576*T1^9*T2^4 + 
      1016*T1^10*T2^4 - 604*T2^5 - 1740*T1*T2^5 + 5680*T1^2*T2^5 + 
      1270*T1^3*T2^5 - 1699*T1^4*T2^5 - 42*T1^5*T2^5 - 42*T1^6*T2^5 - 
      1699*T1^7*T2^5 + 1270*T1^8*T2^5 + 5680*T1^9*T2^5 - 1740*T1^10*T2^5 - 
      604*T1^11*T2^5 + 144*T2^6 + 1934*T1*T2^6 - 2438*T1^2*T2^6 - 
      5016*T1^3*T2^6 + 2023*T1^4*T2^6 - 42*T1^5*T2^6 + 576*T1^6*T2^6 - 
      42*T1^7*T2^6 + 2023*T1^8*T2^6 - 5016*T1^9*T2^6 - 2438*T1^10*T2^6 + 
      1934*T1^11*T2^6 + 144*T1^12*T2^6 - 604*T1*T2^7 - 1740*T1^2*T2^7 + 
      5680*T1^3*T2^7 + 1270*T1^4*T2^7 - 1699*T1^5*T2^7 - 42*T1^6*T2^7 - 
      42*T1^7*T2^7 - 1699*T1^8*T2^7 + 1270*T1^9*T2^7 + 5680*T1^10*T2^7 - 
      1740*T1^11*T2^7 - 604*T1^12*T2^7 + 1016*T1^2*T2^8 + 576*T1^3*T2^8 - 
      6246*T1^4*T2^8 + 1270*T1^5*T2^8 + 2023*T1^6*T2^8 - 1699*T1^7*T2^8 + 
      2023*T1^8*T2^8 + 1270*T1^9*T2^8 - 6246*T1^10*T2^8 + 576*T1^11*T2^8 + 
      1016*T1^12*T2^8 - 1152*T1^3*T2^9 + 576*T1^4*T2^9 + 5680*T1^5*T2^9 - 
      5016*T1^6*T2^9 + 1270*T1^7*T2^9 + 1270*T1^8*T2^9 - 5016*T1^9*T2^9 + 
      5680*T1^10*T2^9 + 576*T1^11*T2^9 - 1152*T1^12*T2^9 + 1016*T1^4*T2^10 - 
      1740*T1^5*T2^10 - 2438*T1^6*T2^10 + 5680*T1^7*T2^10 - 6246*T1^8*T2^10 + 
      5680*T1^9*T2^10 - 2438*T1^10*T2^10 - 1740*T1^11*T2^10 + 
      1016*T1^12*T2^10 - 604*T1^5*T2^11 + 1934*T1^6*T2^11 - 1740*T1^7*T2^11 + 
      576*T1^8*T2^11 + 576*T1^9*T2^11 - 1740*T1^10*T2^11 + 1934*T1^11*T2^11 - 
      604*T1^12*T2^11 + 144*T1^6*T2^12 - 604*T1^7*T2^12 + 1016*T1^8*T2^12 - 
      1152*T1^9*T2^12 + 1016*T1^10*T2^12 - 604*T1^11*T2^12 + 144*T1^12*T2^12)/
     (T1^6*T2^6))}, 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, 
   (2 - 14*T1 + 34*T1^2 - 42*T1^3 + 42*T1^4 - 42*T1^5 + 34*T1^6 - 14*T1^7 + 
     2*T1^8 - 14*T2 + 84*T1*T2 - 140*T1^2*T2 + 56*T1^3*T2 + 56*T1^6*T2 - 
     140*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 34*T2^2 - 140*T1*T2^2 - 
     68*T1^2*T2^2 + 694*T1^3*T2^2 - 746*T1^4*T2^2 + 614*T1^5*T2^2 - 
     746*T1^6*T2^2 + 694*T1^7*T2^2 - 68*T1^8*T2^2 - 140*T1^9*T2^2 + 
     34*T1^10*T2^2 - 42*T2^3 + 56*T1*T2^3 + 694*T1^2*T2^3 - 1504*T1^3*T2^3 + 
     396*T1^4*T2^3 + 140*T1^5*T2^3 + 140*T1^6*T2^3 + 396*T1^7*T2^3 - 
     1504*T1^8*T2^3 + 694*T1^9*T2^3 + 56*T1^10*T2^3 - 42*T1^11*T2^3 + 
     42*T2^4 - 746*T1^2*T2^4 + 396*T1^3*T2^4 + 2370*T1^4*T2^4 - 
     2266*T1^5*T2^4 + 1480*T1^6*T2^4 - 2266*T1^7*T2^4 + 2370*T1^8*T2^4 + 
     396*T1^9*T2^4 - 746*T1^10*T2^4 + 42*T1^12*T2^4 - 42*T2^5 + 
     614*T1^2*T2^5 + 140*T1^3*T2^5 - 2266*T1^4*T2^5 + 268*T1^5*T2^5 + 
     482*T1^6*T2^5 + 482*T1^7*T2^5 + 268*T1^8*T2^5 - 2266*T1^9*T2^5 + 
     140*T1^10*T2^5 + 614*T1^11*T2^5 - 42*T1^13*T2^5 + 34*T2^6 + 56*T1*T2^6 - 
     746*T1^2*T2^6 + 140*T1^3*T2^6 + 1480*T1^4*T2^6 + 482*T1^5*T2^6 - 
     31*T1^6*T2^6 - 863*T1^7*T2^6 - 31*T1^8*T2^6 + 482*T1^9*T2^6 + 
     1480*T1^10*T2^6 + 140*T1^11*T2^6 - 746*T1^12*T2^6 + 56*T1^13*T2^6 + 
     34*T1^14*T2^6 - 14*T2^7 - 140*T1*T2^7 + 694*T1^2*T2^7 + 396*T1^3*T2^7 - 
     2266*T1^4*T2^7 + 482*T1^5*T2^7 - 863*T1^6*T2^7 + 642*T1^7*T2^7 + 
     642*T1^8*T2^7 - 863*T1^9*T2^7 + 482*T1^10*T2^7 - 2266*T1^11*T2^7 + 
     396*T1^12*T2^7 + 694*T1^13*T2^7 - 140*T1^14*T2^7 - 14*T1^15*T2^7 + 
     2*T2^8 + 84*T1*T2^8 - 68*T1^2*T2^8 - 1504*T1^3*T2^8 + 2370*T1^4*T2^8 + 
     268*T1^5*T2^8 - 31*T1^6*T2^8 + 642*T1^7*T2^8 - 1344*T1^8*T2^8 + 
     642*T1^9*T2^8 - 31*T1^10*T2^8 + 268*T1^11*T2^8 + 2370*T1^12*T2^8 - 
     1504*T1^13*T2^8 - 68*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 
     14*T1*T2^9 - 140*T1^2*T2^9 + 694*T1^3*T2^9 + 396*T1^4*T2^9 - 
     2266*T1^5*T2^9 + 482*T1^6*T2^9 - 863*T1^7*T2^9 + 642*T1^8*T2^9 + 
     642*T1^9*T2^9 - 863*T1^10*T2^9 + 482*T1^11*T2^9 - 2266*T1^12*T2^9 + 
     396*T1^13*T2^9 + 694*T1^14*T2^9 - 140*T1^15*T2^9 - 14*T1^16*T2^9 + 
     34*T1^2*T2^10 + 56*T1^3*T2^10 - 746*T1^4*T2^10 + 140*T1^5*T2^10 + 
     1480*T1^6*T2^10 + 482*T1^7*T2^10 - 31*T1^8*T2^10 - 863*T1^9*T2^10 - 
     31*T1^10*T2^10 + 482*T1^11*T2^10 + 1480*T1^12*T2^10 + 140*T1^13*T2^10 - 
     746*T1^14*T2^10 + 56*T1^15*T2^10 + 34*T1^16*T2^10 - 42*T1^3*T2^11 + 
     614*T1^5*T2^11 + 140*T1^6*T2^11 - 2266*T1^7*T2^11 + 268*T1^8*T2^11 + 
     482*T1^9*T2^11 + 482*T1^10*T2^11 + 268*T1^11*T2^11 - 2266*T1^12*T2^11 + 
     140*T1^13*T2^11 + 614*T1^14*T2^11 - 42*T1^16*T2^11 + 42*T1^4*T2^12 - 
     746*T1^6*T2^12 + 396*T1^7*T2^12 + 2370*T1^8*T2^12 - 2266*T1^9*T2^12 + 
     1480*T1^10*T2^12 - 2266*T1^11*T2^12 + 2370*T1^12*T2^12 + 
     396*T1^13*T2^12 - 746*T1^14*T2^12 + 42*T1^16*T2^12 - 42*T1^5*T2^13 + 
     56*T1^6*T2^13 + 694*T1^7*T2^13 - 1504*T1^8*T2^13 + 396*T1^9*T2^13 + 
     140*T1^10*T2^13 + 140*T1^11*T2^13 + 396*T1^12*T2^13 - 1504*T1^13*T2^13 + 
     694*T1^14*T2^13 + 56*T1^15*T2^13 - 42*T1^16*T2^13 + 34*T1^6*T2^14 - 
     140*T1^7*T2^14 - 68*T1^8*T2^14 + 694*T1^9*T2^14 - 746*T1^10*T2^14 + 
     614*T1^11*T2^14 - 746*T1^12*T2^14 + 694*T1^13*T2^14 - 68*T1^14*T2^14 - 
     140*T1^15*T2^14 + 34*T1^16*T2^14 - 14*T1^7*T2^15 + 84*T1^8*T2^15 - 
     140*T1^9*T2^15 + 56*T1^10*T2^15 + 56*T1^13*T2^15 - 140*T1^14*T2^15 + 
     84*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)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 522] -> 
  {-((4 - 19*T + 39*T^2 - 49*T^3 + 39*T^4 - 19*T^5 + 4*T^6)/T^3), 
   -((144 - 672*T1 + 1356*T1^2 - 1696*T1^3 + 1356*T1^4 - 672*T1^5 + 
      144*T1^6 - 672*T2 + 2472*T1*T2 - 3216*T1^2*T2 + 1600*T1^3*T2 + 
      1600*T1^4*T2 - 3216*T1^5*T2 + 2472*T1^6*T2 - 672*T1^7*T2 + 1356*T2^2 - 
      3216*T1*T2^2 - 503*T1^2*T2^2 + 7489*T1^3*T2^2 - 11795*T1^4*T2^2 + 
      7489*T1^5*T2^2 - 503*T1^6*T2^2 - 3216*T1^7*T2^2 + 1356*T1^8*T2^2 - 
      1696*T2^3 + 1600*T1*T2^3 + 7489*T1^2*T2^3 - 12778*T1^3*T2^3 + 
      7410*T1^4*T2^3 + 7410*T1^5*T2^3 - 12778*T1^6*T2^3 + 7489*T1^7*T2^3 + 
      1600*T1^8*T2^3 - 1696*T1^9*T2^3 + 1356*T2^4 + 1600*T1*T2^4 - 
      11795*T1^2*T2^4 + 7410*T1^3*T2^4 + 6422*T1^4*T2^4 - 17568*T1^5*T2^4 + 
      6422*T1^6*T2^4 + 7410*T1^7*T2^4 - 11795*T1^8*T2^4 + 1600*T1^9*T2^4 + 
      1356*T1^10*T2^4 - 672*T2^5 - 3216*T1*T2^5 + 7489*T1^2*T2^5 + 
      7410*T1^3*T2^5 - 17568*T1^4*T2^5 + 11960*T1^5*T2^5 + 11960*T1^6*T2^5 - 
      17568*T1^7*T2^5 + 7410*T1^8*T2^5 + 7489*T1^9*T2^5 - 3216*T1^10*T2^5 - 
      672*T1^11*T2^5 + 144*T2^6 + 2472*T1*T2^6 - 503*T1^2*T2^6 - 
      12778*T1^3*T2^6 + 6422*T1^4*T2^6 + 11960*T1^5*T2^6 - 27552*T1^6*T2^6 + 
      11960*T1^7*T2^6 + 6422*T1^8*T2^6 - 12778*T1^9*T2^6 - 503*T1^10*T2^6 + 
      2472*T1^11*T2^6 + 144*T1^12*T2^6 - 672*T1*T2^7 - 3216*T1^2*T2^7 + 
      7489*T1^3*T2^7 + 7410*T1^4*T2^7 - 17568*T1^5*T2^7 + 11960*T1^6*T2^7 + 
      11960*T1^7*T2^7 - 17568*T1^8*T2^7 + 7410*T1^9*T2^7 + 7489*T1^10*T2^7 - 
      3216*T1^11*T2^7 - 672*T1^12*T2^7 + 1356*T1^2*T2^8 + 1600*T1^3*T2^8 - 
      11795*T1^4*T2^8 + 7410*T1^5*T2^8 + 6422*T1^6*T2^8 - 17568*T1^7*T2^8 + 
      6422*T1^8*T2^8 + 7410*T1^9*T2^8 - 11795*T1^10*T2^8 + 1600*T1^11*T2^8 + 
      1356*T1^12*T2^8 - 1696*T1^3*T2^9 + 1600*T1^4*T2^9 + 7489*T1^5*T2^9 - 
      12778*T1^6*T2^9 + 7410*T1^7*T2^9 + 7410*T1^8*T2^9 - 12778*T1^9*T2^9 + 
      7489*T1^10*T2^9 + 1600*T1^11*T2^9 - 1696*T1^12*T2^9 + 1356*T1^4*T2^10 - 
      3216*T1^5*T2^10 - 503*T1^6*T2^10 + 7489*T1^7*T2^10 - 11795*T1^8*T2^10 + 
      7489*T1^9*T2^10 - 503*T1^10*T2^10 - 3216*T1^11*T2^10 + 
      1356*T1^12*T2^10 - 672*T1^5*T2^11 + 2472*T1^6*T2^11 - 3216*T1^7*T2^11 + 
      1600*T1^8*T2^11 + 1600*T1^9*T2^11 - 3216*T1^10*T2^11 + 
      2472*T1^11*T2^11 - 672*T1^12*T2^11 + 144*T1^6*T2^12 - 672*T1^7*T2^12 + 
      1356*T1^8*T2^12 - 1696*T1^9*T2^12 + 1356*T1^10*T2^12 - 
      672*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   (1 - 4*T1 + 9*T1^2 - 14*T1^3 + 17*T1^4 - 14*T1^5 + 9*T1^6 - 4*T1^7 + 
     T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 20*T1^3*T2 - 12*T1^4*T2 - 
     12*T1^5*T2 + 20*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 9*T2^2 - 
     20*T1*T2^2 + 39*T1^2*T2^2 - 71*T1^3*T2^2 + 129*T1^4*T2^2 - 
     133*T1^5*T2^2 + 129*T1^6*T2^2 - 71*T1^7*T2^2 + 39*T1^8*T2^2 - 
     20*T1^9*T2^2 + 9*T1^10*T2^2 - 14*T2^3 + 20*T1*T2^3 - 71*T1^2*T2^3 + 
     160*T1^3*T2^3 - 260*T1^4*T2^3 + 93*T1^5*T2^3 + 93*T1^6*T2^3 - 
     260*T1^7*T2^3 + 160*T1^8*T2^3 - 71*T1^9*T2^3 + 20*T1^10*T2^3 - 
     14*T1^11*T2^3 + 17*T2^4 - 12*T1*T2^4 + 129*T1^2*T2^4 - 260*T1^3*T2^4 + 
     343*T1^4*T2^4 + 94*T1^5*T2^4 - 199*T1^6*T2^4 + 94*T1^7*T2^4 + 
     343*T1^8*T2^4 - 260*T1^9*T2^4 + 129*T1^10*T2^4 - 12*T1^11*T2^4 + 
     17*T1^12*T2^4 - 14*T2^5 - 12*T1*T2^5 - 133*T1^2*T2^5 + 93*T1^3*T2^5 + 
     94*T1^4*T2^5 - 836*T1^5*T2^5 + 317*T1^6*T2^5 + 317*T1^7*T2^5 - 
     836*T1^8*T2^5 + 94*T1^9*T2^5 + 93*T1^10*T2^5 - 133*T1^11*T2^5 - 
     12*T1^12*T2^5 - 14*T1^13*T2^5 + 9*T2^6 + 20*T1*T2^6 + 129*T1^2*T2^6 + 
     93*T1^3*T2^6 - 199*T1^4*T2^6 + 317*T1^5*T2^6 + 1615*T1^6*T2^6 - 
     2179*T1^7*T2^6 + 1615*T1^8*T2^6 + 317*T1^9*T2^6 - 199*T1^10*T2^6 + 
     93*T1^11*T2^6 + 129*T1^12*T2^6 + 20*T1^13*T2^6 + 9*T1^14*T2^6 - 4*T2^7 - 
     20*T1*T2^7 - 71*T1^2*T2^7 - 260*T1^3*T2^7 + 94*T1^4*T2^7 + 
     317*T1^5*T2^7 - 2179*T1^6*T2^7 + 844*T1^7*T2^7 + 844*T1^8*T2^7 - 
     2179*T1^9*T2^7 + 317*T1^10*T2^7 + 94*T1^11*T2^7 - 260*T1^12*T2^7 - 
     71*T1^13*T2^7 - 20*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 
     39*T1^2*T2^8 + 160*T1^3*T2^8 + 343*T1^4*T2^8 - 836*T1^5*T2^8 + 
     1615*T1^6*T2^8 + 844*T1^7*T2^8 - 1476*T1^8*T2^8 + 844*T1^9*T2^8 + 
     1615*T1^10*T2^8 - 836*T1^11*T2^8 + 343*T1^12*T2^8 + 160*T1^13*T2^8 + 
     39*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 20*T1^2*T2^9 - 
     71*T1^3*T2^9 - 260*T1^4*T2^9 + 94*T1^5*T2^9 + 317*T1^6*T2^9 - 
     2179*T1^7*T2^9 + 844*T1^8*T2^9 + 844*T1^9*T2^9 - 2179*T1^10*T2^9 + 
     317*T1^11*T2^9 + 94*T1^12*T2^9 - 260*T1^13*T2^9 - 71*T1^14*T2^9 - 
     20*T1^15*T2^9 - 4*T1^16*T2^9 + 9*T1^2*T2^10 + 20*T1^3*T2^10 + 
     129*T1^4*T2^10 + 93*T1^5*T2^10 - 199*T1^6*T2^10 + 317*T1^7*T2^10 + 
     1615*T1^8*T2^10 - 2179*T1^9*T2^10 + 1615*T1^10*T2^10 + 317*T1^11*T2^10 - 
     199*T1^12*T2^10 + 93*T1^13*T2^10 + 129*T1^14*T2^10 + 20*T1^15*T2^10 + 
     9*T1^16*T2^10 - 14*T1^3*T2^11 - 12*T1^4*T2^11 - 133*T1^5*T2^11 + 
     93*T1^6*T2^11 + 94*T1^7*T2^11 - 836*T1^8*T2^11 + 317*T1^9*T2^11 + 
     317*T1^10*T2^11 - 836*T1^11*T2^11 + 94*T1^12*T2^11 + 93*T1^13*T2^11 - 
     133*T1^14*T2^11 - 12*T1^15*T2^11 - 14*T1^16*T2^11 + 17*T1^4*T2^12 - 
     12*T1^5*T2^12 + 129*T1^6*T2^12 - 260*T1^7*T2^12 + 343*T1^8*T2^12 + 
     94*T1^9*T2^12 - 199*T1^10*T2^12 + 94*T1^11*T2^12 + 343*T1^12*T2^12 - 
     260*T1^13*T2^12 + 129*T1^14*T2^12 - 12*T1^15*T2^12 + 17*T1^16*T2^12 - 
     14*T1^5*T2^13 + 20*T1^6*T2^13 - 71*T1^7*T2^13 + 160*T1^8*T2^13 - 
     260*T1^9*T2^13 + 93*T1^10*T2^13 + 93*T1^11*T2^13 - 260*T1^12*T2^13 + 
     160*T1^13*T2^13 - 71*T1^14*T2^13 + 20*T1^15*T2^13 - 14*T1^16*T2^13 + 
     9*T1^6*T2^14 - 20*T1^7*T2^14 + 39*T1^8*T2^14 - 71*T1^9*T2^14 + 
     129*T1^10*T2^14 - 133*T1^11*T2^14 + 129*T1^12*T2^14 - 71*T1^13*T2^14 + 
     39*T1^14*T2^14 - 20*T1^15*T2^14 + 9*T1^16*T2^14 - 4*T1^7*T2^15 + 
     12*T1^8*T2^15 - 20*T1^9*T2^15 + 20*T1^10*T2^15 - 12*T1^11*T2^15 - 
     12*T1^12*T2^15 + 20*T1^13*T2^15 - 20*T1^14*T2^15 + 12*T1^15*T2^15 - 
     4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 9*T1^10*T2^16 - 
     14*T1^11*T2^16 + 17*T1^12*T2^16 - 14*T1^13*T2^16 + 9*T1^14*T2^16 - 
     4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 524] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^3, 
   (9 - 67*T1 + 181*T1^2 - 241*T1^3 + 181*T1^4 - 67*T1^5 + 9*T1^6 - 67*T2 + 
     432*T1*T2 - 850*T1^2*T2 + 448*T1^3*T2 + 448*T1^4*T2 - 850*T1^5*T2 + 
     432*T1^6*T2 - 67*T1^7*T2 + 181*T2^2 - 850*T1*T2^2 + 162*T1^2*T2^2 + 
     3642*T1^3*T2^2 - 5814*T1^4*T2^2 + 3642*T1^5*T2^2 + 162*T1^6*T2^2 - 
     850*T1^7*T2^2 + 181*T1^8*T2^2 - 241*T2^3 + 448*T1*T2^3 + 
     3642*T1^2*T2^3 - 10304*T1^3*T2^3 + 5670*T1^4*T2^3 + 5670*T1^5*T2^3 - 
     10304*T1^6*T2^3 + 3642*T1^7*T2^3 + 448*T1^8*T2^3 - 241*T1^9*T2^3 + 
     181*T2^4 + 448*T1*T2^4 - 5814*T1^2*T2^4 + 5670*T1^3*T2^4 + 
     14362*T1^4*T2^4 - 26242*T1^5*T2^4 + 14362*T1^6*T2^4 + 5670*T1^7*T2^4 - 
     5814*T1^8*T2^4 + 448*T1^9*T2^4 + 181*T1^10*T2^4 - 67*T2^5 - 
     850*T1*T2^5 + 3642*T1^2*T2^5 + 5670*T1^3*T2^5 - 26242*T1^4*T2^5 + 
     15192*T1^5*T2^5 + 15192*T1^6*T2^5 - 26242*T1^7*T2^5 + 5670*T1^8*T2^5 + 
     3642*T1^9*T2^5 - 850*T1^10*T2^5 - 67*T1^11*T2^5 + 9*T2^6 + 432*T1*T2^6 + 
     162*T1^2*T2^6 - 10304*T1^3*T2^6 + 14362*T1^4*T2^6 + 15192*T1^5*T2^6 - 
     33624*T1^6*T2^6 + 15192*T1^7*T2^6 + 14362*T1^8*T2^6 - 10304*T1^9*T2^6 + 
     162*T1^10*T2^6 + 432*T1^11*T2^6 + 9*T1^12*T2^6 - 67*T1*T2^7 - 
     850*T1^2*T2^7 + 3642*T1^3*T2^7 + 5670*T1^4*T2^7 - 26242*T1^5*T2^7 + 
     15192*T1^6*T2^7 + 15192*T1^7*T2^7 - 26242*T1^8*T2^7 + 5670*T1^9*T2^7 + 
     3642*T1^10*T2^7 - 850*T1^11*T2^7 - 67*T1^12*T2^7 + 181*T1^2*T2^8 + 
     448*T1^3*T2^8 - 5814*T1^4*T2^8 + 5670*T1^5*T2^8 + 14362*T1^6*T2^8 - 
     26242*T1^7*T2^8 + 14362*T1^8*T2^8 + 5670*T1^9*T2^8 - 5814*T1^10*T2^8 + 
     448*T1^11*T2^8 + 181*T1^12*T2^8 - 241*T1^3*T2^9 + 448*T1^4*T2^9 + 
     3642*T1^5*T2^9 - 10304*T1^6*T2^9 + 5670*T1^7*T2^9 + 5670*T1^8*T2^9 - 
     10304*T1^9*T2^9 + 3642*T1^10*T2^9 + 448*T1^11*T2^9 - 241*T1^12*T2^9 + 
     181*T1^4*T2^10 - 850*T1^5*T2^10 + 162*T1^6*T2^10 + 3642*T1^7*T2^10 - 
     5814*T1^8*T2^10 + 3642*T1^9*T2^10 + 162*T1^10*T2^10 - 850*T1^11*T2^10 + 
     181*T1^12*T2^10 - 67*T1^5*T2^11 + 432*T1^6*T2^11 - 850*T1^7*T2^11 + 
     448*T1^8*T2^11 + 448*T1^9*T2^11 - 850*T1^10*T2^11 + 432*T1^11*T2^11 - 
     67*T1^12*T2^11 + 9*T1^6*T2^12 - 67*T1^7*T2^12 + 181*T1^8*T2^12 - 
     241*T1^9*T2^12 + 181*T1^10*T2^12 - 67*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 525] -> 
  {-((2 - 13*T + 33*T^2 - 45*T^3 + 33*T^4 - 13*T^5 + 2*T^6)/T^3), 
   (1 - 7*T1 + 19*T1^2 - 27*T1^3 + 19*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
     42*T1*T2 - 84*T1^2*T2 + 56*T1^3*T2 + 56*T1^4*T2 - 84*T1^5*T2 + 
     42*T1^6*T2 - 7*T1^7*T2 + 19*T2^2 - 84*T1*T2^2 + 28*T1^2*T2^2 + 
     310*T1^3*T2^2 - 646*T1^4*T2^2 + 310*T1^5*T2^2 + 28*T1^6*T2^2 - 
     84*T1^7*T2^2 + 19*T1^8*T2^2 - 27*T2^3 + 56*T1*T2^3 + 310*T1^2*T2^3 - 
     880*T1^3*T2^3 + 768*T1^4*T2^3 + 768*T1^5*T2^3 - 880*T1^6*T2^3 + 
     310*T1^7*T2^3 + 56*T1^8*T2^3 - 27*T1^9*T2^3 + 19*T2^4 + 56*T1*T2^4 - 
     646*T1^2*T2^4 + 768*T1^3*T2^4 + 189*T1^4*T2^4 - 2107*T1^5*T2^4 + 
     189*T1^6*T2^4 + 768*T1^7*T2^4 - 646*T1^8*T2^4 + 56*T1^9*T2^4 + 
     19*T1^10*T2^4 - 7*T2^5 - 84*T1*T2^5 + 310*T1^2*T2^5 + 768*T1^3*T2^5 - 
     2107*T1^4*T2^5 + 2390*T1^5*T2^5 + 2390*T1^6*T2^5 - 2107*T1^7*T2^5 + 
     768*T1^8*T2^5 + 310*T1^9*T2^5 - 84*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
     42*T1*T2^6 + 28*T1^2*T2^6 - 880*T1^3*T2^6 + 189*T1^4*T2^6 + 
     2390*T1^5*T2^6 - 6684*T1^6*T2^6 + 2390*T1^7*T2^6 + 189*T1^8*T2^6 - 
     880*T1^9*T2^6 + 28*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 7*T1*T2^7 - 
     84*T1^2*T2^7 + 310*T1^3*T2^7 + 768*T1^4*T2^7 - 2107*T1^5*T2^7 + 
     2390*T1^6*T2^7 + 2390*T1^7*T2^7 - 2107*T1^8*T2^7 + 768*T1^9*T2^7 + 
     310*T1^10*T2^7 - 84*T1^11*T2^7 - 7*T1^12*T2^7 + 19*T1^2*T2^8 + 
     56*T1^3*T2^8 - 646*T1^4*T2^8 + 768*T1^5*T2^8 + 189*T1^6*T2^8 - 
     2107*T1^7*T2^8 + 189*T1^8*T2^8 + 768*T1^9*T2^8 - 646*T1^10*T2^8 + 
     56*T1^11*T2^8 + 19*T1^12*T2^8 - 27*T1^3*T2^9 + 56*T1^4*T2^9 + 
     310*T1^5*T2^9 - 880*T1^6*T2^9 + 768*T1^7*T2^9 + 768*T1^8*T2^9 - 
     880*T1^9*T2^9 + 310*T1^10*T2^9 + 56*T1^11*T2^9 - 27*T1^12*T2^9 + 
     19*T1^4*T2^10 - 84*T1^5*T2^10 + 28*T1^6*T2^10 + 310*T1^7*T2^10 - 
     646*T1^8*T2^10 + 310*T1^9*T2^10 + 28*T1^10*T2^10 - 84*T1^11*T2^10 + 
     19*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 84*T1^7*T2^11 + 
     56*T1^8*T2^11 + 56*T1^9*T2^11 - 84*T1^10*T2^11 + 42*T1^11*T2^11 - 
     7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 19*T1^8*T2^12 - 
     27*T1^9*T2^12 + 19*T1^10*T2^12 - 7*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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), -((9 - 44*T1 + 108*T1^2 - 184*T1^3 + 217*T1^4 - 184*T1^5 + 
      108*T1^6 - 44*T1^7 + 9*T1^8 - 44*T2 + 172*T1*T2 - 316*T1^2*T2 + 
      376*T1^3*T2 - 164*T1^4*T2 - 164*T1^5*T2 + 376*T1^6*T2 - 316*T1^7*T2 + 
      172*T1^8*T2 - 44*T1^9*T2 + 108*T2^2 - 316*T1*T2^2 + 357*T1^2*T2^2 - 
      142*T1^3*T2^2 - 552*T1^4*T2^2 + 859*T1^5*T2^2 - 552*T1^6*T2^2 - 
      142*T1^7*T2^2 + 357*T1^8*T2^2 - 316*T1^9*T2^2 + 108*T1^10*T2^2 - 
      184*T2^3 + 376*T1*T2^3 - 142*T1^2*T2^3 - 262*T1^3*T2^3 + 
      1096*T1^4*T2^3 - 510*T1^5*T2^3 - 510*T1^6*T2^3 + 1096*T1^7*T2^3 - 
      262*T1^8*T2^3 - 142*T1^9*T2^3 + 376*T1^10*T2^3 - 184*T1^11*T2^3 + 
      217*T2^4 - 164*T1*T2^4 - 552*T1^2*T2^4 + 1096*T1^3*T2^4 - 
      1973*T1^4*T2^4 + 363*T1^5*T2^4 + 223*T1^6*T2^4 + 363*T1^7*T2^4 - 
      1973*T1^8*T2^4 + 1096*T1^9*T2^4 - 552*T1^10*T2^4 - 164*T1^11*T2^4 + 
      217*T1^12*T2^4 - 184*T2^5 - 164*T1*T2^5 + 859*T1^2*T2^5 - 
      510*T1^3*T2^5 + 363*T1^4*T2^5 + 2408*T1^5*T2^5 - 1066*T1^6*T2^5 - 
      1066*T1^7*T2^5 + 2408*T1^8*T2^5 + 363*T1^9*T2^5 - 510*T1^10*T2^5 + 
      859*T1^11*T2^5 - 164*T1^12*T2^5 - 184*T1^13*T2^5 + 108*T2^6 + 
      376*T1*T2^6 - 552*T1^2*T2^6 - 510*T1^3*T2^6 + 223*T1^4*T2^6 - 
      1066*T1^5*T2^6 - 4265*T1^6*T2^6 + 6111*T1^7*T2^6 - 4265*T1^8*T2^6 - 
      1066*T1^9*T2^6 + 223*T1^10*T2^6 - 510*T1^11*T2^6 - 552*T1^12*T2^6 + 
      376*T1^13*T2^6 + 108*T1^14*T2^6 - 44*T2^7 - 316*T1*T2^7 - 
      142*T1^2*T2^7 + 1096*T1^3*T2^7 + 363*T1^4*T2^7 - 1066*T1^5*T2^7 + 
      6111*T1^6*T2^7 - 2620*T1^7*T2^7 - 2620*T1^8*T2^7 + 6111*T1^9*T2^7 - 
      1066*T1^10*T2^7 + 363*T1^11*T2^7 + 1096*T1^12*T2^7 - 142*T1^13*T2^7 - 
      316*T1^14*T2^7 - 44*T1^15*T2^7 + 9*T2^8 + 172*T1*T2^8 + 357*T1^2*T2^8 - 
      262*T1^3*T2^8 - 1973*T1^4*T2^8 + 2408*T1^5*T2^8 - 4265*T1^6*T2^8 - 
      2620*T1^7*T2^8 + 5004*T1^8*T2^8 - 2620*T1^9*T2^8 - 4265*T1^10*T2^8 + 
      2408*T1^11*T2^8 - 1973*T1^12*T2^8 - 262*T1^13*T2^8 + 357*T1^14*T2^8 + 
      172*T1^15*T2^8 + 9*T1^16*T2^8 - 44*T1*T2^9 - 316*T1^2*T2^9 - 
      142*T1^3*T2^9 + 1096*T1^4*T2^9 + 363*T1^5*T2^9 - 1066*T1^6*T2^9 + 
      6111*T1^7*T2^9 - 2620*T1^8*T2^9 - 2620*T1^9*T2^9 + 6111*T1^10*T2^9 - 
      1066*T1^11*T2^9 + 363*T1^12*T2^9 + 1096*T1^13*T2^9 - 142*T1^14*T2^9 - 
      316*T1^15*T2^9 - 44*T1^16*T2^9 + 108*T1^2*T2^10 + 376*T1^3*T2^10 - 
      552*T1^4*T2^10 - 510*T1^5*T2^10 + 223*T1^6*T2^10 - 1066*T1^7*T2^10 - 
      4265*T1^8*T2^10 + 6111*T1^9*T2^10 - 4265*T1^10*T2^10 - 
      1066*T1^11*T2^10 + 223*T1^12*T2^10 - 510*T1^13*T2^10 - 
      552*T1^14*T2^10 + 376*T1^15*T2^10 + 108*T1^16*T2^10 - 184*T1^3*T2^11 - 
      164*T1^4*T2^11 + 859*T1^5*T2^11 - 510*T1^6*T2^11 + 363*T1^7*T2^11 + 
      2408*T1^8*T2^11 - 1066*T1^9*T2^11 - 1066*T1^10*T2^11 + 
      2408*T1^11*T2^11 + 363*T1^12*T2^11 - 510*T1^13*T2^11 + 
      859*T1^14*T2^11 - 164*T1^15*T2^11 - 184*T1^16*T2^11 + 217*T1^4*T2^12 - 
      164*T1^5*T2^12 - 552*T1^6*T2^12 + 1096*T1^7*T2^12 - 1973*T1^8*T2^12 + 
      363*T1^9*T2^12 + 223*T1^10*T2^12 + 363*T1^11*T2^12 - 1973*T1^12*T2^12 + 
      1096*T1^13*T2^12 - 552*T1^14*T2^12 - 164*T1^15*T2^12 + 
      217*T1^16*T2^12 - 184*T1^5*T2^13 + 376*T1^6*T2^13 - 142*T1^7*T2^13 - 
      262*T1^8*T2^13 + 1096*T1^9*T2^13 - 510*T1^10*T2^13 - 510*T1^11*T2^13 + 
      1096*T1^12*T2^13 - 262*T1^13*T2^13 - 142*T1^14*T2^13 + 
      376*T1^15*T2^13 - 184*T1^16*T2^13 + 108*T1^6*T2^14 - 316*T1^7*T2^14 + 
      357*T1^8*T2^14 - 142*T1^9*T2^14 - 552*T1^10*T2^14 + 859*T1^11*T2^14 - 
      552*T1^12*T2^14 - 142*T1^13*T2^14 + 357*T1^14*T2^14 - 316*T1^15*T2^14 + 
      108*T1^16*T2^14 - 44*T1^7*T2^15 + 172*T1^8*T2^15 - 316*T1^9*T2^15 + 
      376*T1^10*T2^15 - 164*T1^11*T2^15 - 164*T1^12*T2^15 + 376*T1^13*T2^15 - 
      316*T1^14*T2^15 + 172*T1^15*T2^15 - 44*T1^16*T2^15 + 9*T1^8*T2^16 - 
      44*T1^9*T2^16 + 108*T1^10*T2^16 - 184*T1^11*T2^16 + 217*T1^12*T2^16 - 
      184*T1^13*T2^16 + 108*T1^14*T2^16 - 44*T1^15*T2^16 + 9*T1^16*T2^16)/
     (T1^8*T2^8))}, 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, (17 - 84*T1 + 208*T1^2 - 322*T1^3 + 371*T1^4 - 322*T1^5 + 208*T1^6 - 
     84*T1^7 + 17*T1^8 - 84*T2 + 332*T1*T2 - 616*T1^2*T2 + 568*T1^3*T2 - 
     244*T1^4*T2 - 244*T1^5*T2 + 568*T1^6*T2 - 616*T1^7*T2 + 332*T1^8*T2 - 
     84*T1^9*T2 + 208*T2^2 - 616*T1*T2^2 + 691*T1^2*T2^2 + 188*T1^3*T2^2 - 
     964*T1^4*T2^2 + 1409*T1^5*T2^2 - 964*T1^6*T2^2 + 188*T1^7*T2^2 + 
     691*T1^8*T2^2 - 616*T1^9*T2^2 + 208*T1^10*T2^2 - 322*T2^3 + 
     568*T1*T2^3 + 188*T1^2*T2^3 - 1984*T1^3*T2^3 + 1864*T1^4*T2^3 - 
     970*T1^5*T2^3 - 970*T1^6*T2^3 + 1864*T1^7*T2^3 - 1984*T1^8*T2^3 + 
     188*T1^9*T2^3 + 568*T1^10*T2^3 - 322*T1^11*T2^3 + 371*T2^4 - 
     244*T1*T2^4 - 964*T1^2*T2^4 + 1864*T1^3*T2^4 + 1274*T1^4*T2^4 - 
     3308*T1^5*T2^4 + 4982*T1^6*T2^4 - 3308*T1^7*T2^4 + 1274*T1^8*T2^4 + 
     1864*T1^9*T2^4 - 964*T1^10*T2^4 - 244*T1^11*T2^4 + 371*T1^12*T2^4 - 
     322*T2^5 - 244*T1*T2^5 + 1409*T1^2*T2^5 - 970*T1^3*T2^5 - 
     3308*T1^4*T2^5 + 2716*T1^5*T2^5 - 1912*T1^6*T2^5 - 1912*T1^7*T2^5 + 
     2716*T1^8*T2^5 - 3308*T1^9*T2^5 - 970*T1^10*T2^5 + 1409*T1^11*T2^5 - 
     244*T1^12*T2^5 - 322*T1^13*T2^5 + 208*T2^6 + 568*T1*T2^6 - 
     964*T1^2*T2^6 - 970*T1^3*T2^6 + 4982*T1^4*T2^6 - 1912*T1^5*T2^6 + 
     1426*T1^6*T2^6 + 994*T1^7*T2^6 + 1426*T1^8*T2^6 - 1912*T1^9*T2^6 + 
     4982*T1^10*T2^6 - 970*T1^11*T2^6 - 964*T1^12*T2^6 + 568*T1^13*T2^6 + 
     208*T1^14*T2^6 - 84*T2^7 - 616*T1*T2^7 + 188*T1^2*T2^7 + 
     1864*T1^3*T2^7 - 3308*T1^4*T2^7 - 1912*T1^5*T2^7 + 994*T1^6*T2^7 - 
     1872*T1^7*T2^7 - 1872*T1^8*T2^7 + 994*T1^9*T2^7 - 1912*T1^10*T2^7 - 
     3308*T1^11*T2^7 + 1864*T1^12*T2^7 + 188*T1^13*T2^7 - 616*T1^14*T2^7 - 
     84*T1^15*T2^7 + 17*T2^8 + 332*T1*T2^8 + 691*T1^2*T2^8 - 1984*T1^3*T2^8 + 
     1274*T1^4*T2^8 + 2716*T1^5*T2^8 + 1426*T1^6*T2^8 - 1872*T1^7*T2^8 + 
     4968*T1^8*T2^8 - 1872*T1^9*T2^8 + 1426*T1^10*T2^8 + 2716*T1^11*T2^8 + 
     1274*T1^12*T2^8 - 1984*T1^13*T2^8 + 691*T1^14*T2^8 + 332*T1^15*T2^8 + 
     17*T1^16*T2^8 - 84*T1*T2^9 - 616*T1^2*T2^9 + 188*T1^3*T2^9 + 
     1864*T1^4*T2^9 - 3308*T1^5*T2^9 - 1912*T1^6*T2^9 + 994*T1^7*T2^9 - 
     1872*T1^8*T2^9 - 1872*T1^9*T2^9 + 994*T1^10*T2^9 - 1912*T1^11*T2^9 - 
     3308*T1^12*T2^9 + 1864*T1^13*T2^9 + 188*T1^14*T2^9 - 616*T1^15*T2^9 - 
     84*T1^16*T2^9 + 208*T1^2*T2^10 + 568*T1^3*T2^10 - 964*T1^4*T2^10 - 
     970*T1^5*T2^10 + 4982*T1^6*T2^10 - 1912*T1^7*T2^10 + 1426*T1^8*T2^10 + 
     994*T1^9*T2^10 + 1426*T1^10*T2^10 - 1912*T1^11*T2^10 + 
     4982*T1^12*T2^10 - 970*T1^13*T2^10 - 964*T1^14*T2^10 + 568*T1^15*T2^10 + 
     208*T1^16*T2^10 - 322*T1^3*T2^11 - 244*T1^4*T2^11 + 1409*T1^5*T2^11 - 
     970*T1^6*T2^11 - 3308*T1^7*T2^11 + 2716*T1^8*T2^11 - 1912*T1^9*T2^11 - 
     1912*T1^10*T2^11 + 2716*T1^11*T2^11 - 3308*T1^12*T2^11 - 
     970*T1^13*T2^11 + 1409*T1^14*T2^11 - 244*T1^15*T2^11 - 322*T1^16*T2^11 + 
     371*T1^4*T2^12 - 244*T1^5*T2^12 - 964*T1^6*T2^12 + 1864*T1^7*T2^12 + 
     1274*T1^8*T2^12 - 3308*T1^9*T2^12 + 4982*T1^10*T2^12 - 
     3308*T1^11*T2^12 + 1274*T1^12*T2^12 + 1864*T1^13*T2^12 - 
     964*T1^14*T2^12 - 244*T1^15*T2^12 + 371*T1^16*T2^12 - 322*T1^5*T2^13 + 
     568*T1^6*T2^13 + 188*T1^7*T2^13 - 1984*T1^8*T2^13 + 1864*T1^9*T2^13 - 
     970*T1^10*T2^13 - 970*T1^11*T2^13 + 1864*T1^12*T2^13 - 
     1984*T1^13*T2^13 + 188*T1^14*T2^13 + 568*T1^15*T2^13 - 322*T1^16*T2^13 + 
     208*T1^6*T2^14 - 616*T1^7*T2^14 + 691*T1^8*T2^14 + 188*T1^9*T2^14 - 
     964*T1^10*T2^14 + 1409*T1^11*T2^14 - 964*T1^12*T2^14 + 188*T1^13*T2^14 + 
     691*T1^14*T2^14 - 616*T1^15*T2^14 + 208*T1^16*T2^14 - 84*T1^7*T2^15 + 
     332*T1^8*T2^15 - 616*T1^9*T2^15 + 568*T1^10*T2^15 - 244*T1^11*T2^15 - 
     244*T1^12*T2^15 + 568*T1^13*T2^15 - 616*T1^14*T2^15 + 332*T1^15*T2^15 - 
     84*T1^16*T2^15 + 17*T1^8*T2^16 - 84*T1^9*T2^16 + 208*T1^10*T2^16 - 
     322*T1^11*T2^16 + 371*T1^12*T2^16 - 322*T1^13*T2^16 + 208*T1^14*T2^16 - 
     84*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8)}, 
 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), 
   (1 - 7*T1 + 21*T1^2 - 39*T1^3 + 47*T1^4 - 39*T1^5 + 21*T1^6 - 7*T1^7 + 
     T1^8 - 7*T2 + 42*T1*T2 - 98*T1^2*T2 + 126*T1^3*T2 - 56*T1^4*T2 - 
     56*T1^5*T2 + 126*T1^6*T2 - 98*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 
     21*T2^2 - 98*T1*T2^2 + 125*T1^2*T2^2 + 41*T1^3*T2^2 - 439*T1^4*T2^2 + 
     613*T1^5*T2^2 - 439*T1^6*T2^2 + 41*T1^7*T2^2 + 125*T1^8*T2^2 - 
     98*T1^9*T2^2 + 21*T1^10*T2^2 - 39*T2^3 + 126*T1*T2^3 + 41*T1^2*T2^3 - 
     528*T1^3*T2^3 + 1028*T1^4*T2^3 - 462*T1^5*T2^3 - 462*T1^6*T2^3 + 
     1028*T1^7*T2^3 - 528*T1^8*T2^3 + 41*T1^9*T2^3 + 126*T1^10*T2^3 - 
     39*T1^11*T2^3 + 47*T2^4 - 56*T1*T2^4 - 439*T1^2*T2^4 + 1028*T1^3*T2^4 - 
     923*T1^4*T2^4 - 971*T1^5*T2^4 + 1745*T1^6*T2^4 - 971*T1^7*T2^4 - 
     923*T1^8*T2^4 + 1028*T1^9*T2^4 - 439*T1^10*T2^4 - 56*T1^11*T2^4 + 
     47*T1^12*T2^4 - 39*T2^5 - 56*T1*T2^5 + 613*T1^2*T2^5 - 462*T1^3*T2^5 - 
     971*T1^4*T2^5 + 3320*T1^5*T2^5 - 1528*T1^6*T2^5 - 1528*T1^7*T2^5 + 
     3320*T1^8*T2^5 - 971*T1^9*T2^5 - 462*T1^10*T2^5 + 613*T1^11*T2^5 - 
     56*T1^12*T2^5 - 39*T1^13*T2^5 + 21*T2^6 + 126*T1*T2^6 - 439*T1^2*T2^6 - 
     462*T1^3*T2^6 + 1745*T1^4*T2^6 - 1528*T1^5*T2^6 - 3971*T1^6*T2^6 + 
     6275*T1^7*T2^6 - 3971*T1^8*T2^6 - 1528*T1^9*T2^6 + 1745*T1^10*T2^6 - 
     462*T1^11*T2^6 - 439*T1^12*T2^6 + 126*T1^13*T2^6 + 21*T1^14*T2^6 - 
     7*T2^7 - 98*T1*T2^7 + 41*T1^2*T2^7 + 1028*T1^3*T2^7 - 971*T1^4*T2^7 - 
     1528*T1^5*T2^7 + 6275*T1^6*T2^7 - 2984*T1^7*T2^7 - 2984*T1^8*T2^7 + 
     6275*T1^9*T2^7 - 1528*T1^10*T2^7 - 971*T1^11*T2^7 + 1028*T1^12*T2^7 + 
     41*T1^13*T2^7 - 98*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 
     125*T1^2*T2^8 - 528*T1^3*T2^8 - 923*T1^4*T2^8 + 3320*T1^5*T2^8 - 
     3971*T1^6*T2^8 - 2984*T1^7*T2^8 + 6036*T1^8*T2^8 - 2984*T1^9*T2^8 - 
     3971*T1^10*T2^8 + 3320*T1^11*T2^8 - 923*T1^12*T2^8 - 528*T1^13*T2^8 + 
     125*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 98*T1^2*T2^9 + 
     41*T1^3*T2^9 + 1028*T1^4*T2^9 - 971*T1^5*T2^9 - 1528*T1^6*T2^9 + 
     6275*T1^7*T2^9 - 2984*T1^8*T2^9 - 2984*T1^9*T2^9 + 6275*T1^10*T2^9 - 
     1528*T1^11*T2^9 - 971*T1^12*T2^9 + 1028*T1^13*T2^9 + 41*T1^14*T2^9 - 
     98*T1^15*T2^9 - 7*T1^16*T2^9 + 21*T1^2*T2^10 + 126*T1^3*T2^10 - 
     439*T1^4*T2^10 - 462*T1^5*T2^10 + 1745*T1^6*T2^10 - 1528*T1^7*T2^10 - 
     3971*T1^8*T2^10 + 6275*T1^9*T2^10 - 3971*T1^10*T2^10 - 
     1528*T1^11*T2^10 + 1745*T1^12*T2^10 - 462*T1^13*T2^10 - 
     439*T1^14*T2^10 + 126*T1^15*T2^10 + 21*T1^16*T2^10 - 39*T1^3*T2^11 - 
     56*T1^4*T2^11 + 613*T1^5*T2^11 - 462*T1^6*T2^11 - 971*T1^7*T2^11 + 
     3320*T1^8*T2^11 - 1528*T1^9*T2^11 - 1528*T1^10*T2^11 + 
     3320*T1^11*T2^11 - 971*T1^12*T2^11 - 462*T1^13*T2^11 + 613*T1^14*T2^11 - 
     56*T1^15*T2^11 - 39*T1^16*T2^11 + 47*T1^4*T2^12 - 56*T1^5*T2^12 - 
     439*T1^6*T2^12 + 1028*T1^7*T2^12 - 923*T1^8*T2^12 - 971*T1^9*T2^12 + 
     1745*T1^10*T2^12 - 971*T1^11*T2^12 - 923*T1^12*T2^12 + 
     1028*T1^13*T2^12 - 439*T1^14*T2^12 - 56*T1^15*T2^12 + 47*T1^16*T2^12 - 
     39*T1^5*T2^13 + 126*T1^6*T2^13 + 41*T1^7*T2^13 - 528*T1^8*T2^13 + 
     1028*T1^9*T2^13 - 462*T1^10*T2^13 - 462*T1^11*T2^13 + 1028*T1^12*T2^13 - 
     528*T1^13*T2^13 + 41*T1^14*T2^13 + 126*T1^15*T2^13 - 39*T1^16*T2^13 + 
     21*T1^6*T2^14 - 98*T1^7*T2^14 + 125*T1^8*T2^14 + 41*T1^9*T2^14 - 
     439*T1^10*T2^14 + 613*T1^11*T2^14 - 439*T1^12*T2^14 + 41*T1^13*T2^14 + 
     125*T1^14*T2^14 - 98*T1^15*T2^14 + 21*T1^16*T2^14 - 7*T1^7*T2^15 + 
     42*T1^8*T2^15 - 98*T1^9*T2^15 + 126*T1^10*T2^15 - 56*T1^11*T2^15 - 
     56*T1^12*T2^15 + 126*T1^13*T2^15 - 98*T1^14*T2^15 + 42*T1^15*T2^15 - 
     7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 21*T1^10*T2^16 - 
     39*T1^11*T2^16 + 47*T1^12*T2^16 - 39*T1^13*T2^16 + 21*T1^14*T2^16 - 
     7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 529] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^3), 
   (1 - 7*T1 + 21*T1^2 - 31*T1^3 + 21*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
     42*T1*T2 - 98*T1^2*T2 + 70*T1^3*T2 + 70*T1^4*T2 - 98*T1^5*T2 + 
     42*T1^6*T2 - 7*T1^7*T2 + 21*T2^2 - 98*T1*T2^2 + 113*T1^2*T2^2 + 
     281*T1^3*T2^2 - 733*T1^4*T2^2 + 281*T1^5*T2^2 + 113*T1^6*T2^2 - 
     98*T1^7*T2^2 + 21*T1^8*T2^2 - 31*T2^3 + 70*T1*T2^3 + 281*T1^2*T2^3 - 
     1414*T1^3*T2^3 + 1312*T1^4*T2^3 + 1312*T1^5*T2^3 - 1414*T1^6*T2^3 + 
     281*T1^7*T2^3 + 70*T1^8*T2^3 - 31*T1^9*T2^3 + 21*T2^4 + 70*T1*T2^4 - 
     733*T1^2*T2^4 + 1312*T1^3*T2^4 + 2325*T1^4*T2^4 - 7233*T1^5*T2^4 + 
     2325*T1^6*T2^4 + 1312*T1^7*T2^4 - 733*T1^8*T2^4 + 70*T1^9*T2^4 + 
     21*T1^10*T2^4 - 7*T2^5 - 98*T1*T2^5 + 281*T1^2*T2^5 + 1312*T1^3*T2^5 - 
     7233*T1^4*T2^5 + 6906*T1^5*T2^5 + 6906*T1^6*T2^5 - 7233*T1^7*T2^5 + 
     1312*T1^8*T2^5 + 281*T1^9*T2^5 - 98*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
     42*T1*T2^6 + 113*T1^2*T2^6 - 1414*T1^3*T2^6 + 2325*T1^4*T2^6 + 
     6906*T1^5*T2^6 - 18804*T1^6*T2^6 + 6906*T1^7*T2^6 + 2325*T1^8*T2^6 - 
     1414*T1^9*T2^6 + 113*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
     7*T1*T2^7 - 98*T1^2*T2^7 + 281*T1^3*T2^7 + 1312*T1^4*T2^7 - 
     7233*T1^5*T2^7 + 6906*T1^6*T2^7 + 6906*T1^7*T2^7 - 7233*T1^8*T2^7 + 
     1312*T1^9*T2^7 + 281*T1^10*T2^7 - 98*T1^11*T2^7 - 7*T1^12*T2^7 + 
     21*T1^2*T2^8 + 70*T1^3*T2^8 - 733*T1^4*T2^8 + 1312*T1^5*T2^8 + 
     2325*T1^6*T2^8 - 7233*T1^7*T2^8 + 2325*T1^8*T2^8 + 1312*T1^9*T2^8 - 
     733*T1^10*T2^8 + 70*T1^11*T2^8 + 21*T1^12*T2^8 - 31*T1^3*T2^9 + 
     70*T1^4*T2^9 + 281*T1^5*T2^9 - 1414*T1^6*T2^9 + 1312*T1^7*T2^9 + 
     1312*T1^8*T2^9 - 1414*T1^9*T2^9 + 281*T1^10*T2^9 + 70*T1^11*T2^9 - 
     31*T1^12*T2^9 + 21*T1^4*T2^10 - 98*T1^5*T2^10 + 113*T1^6*T2^10 + 
     281*T1^7*T2^10 - 733*T1^8*T2^10 + 281*T1^9*T2^10 + 113*T1^10*T2^10 - 
     98*T1^11*T2^10 + 21*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
     98*T1^7*T2^11 + 70*T1^8*T2^11 + 70*T1^9*T2^11 - 98*T1^10*T2^11 + 
     42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
     21*T1^8*T2^12 - 31*T1^9*T2^12 + 21*T1^10*T2^12 - 7*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 530] -> 
  {-((3 - 19*T + 51*T^2 - 71*T^3 + 51*T^4 - 19*T^5 + 3*T^6)/T^3), 
   -((3 - 20*T1 + 60*T1^2 - 89*T1^3 + 60*T1^4 - 20*T1^5 + 3*T1^6 - 20*T2 + 
      114*T1*T2 - 266*T1^2*T2 + 191*T1^3*T2 + 191*T1^4*T2 - 266*T1^5*T2 + 
      114*T1^6*T2 - 20*T1^7*T2 + 60*T2^2 - 266*T1*T2^2 + 372*T1^2*T2^2 + 
      412*T1^3*T2^2 - 1380*T1^4*T2^2 + 412*T1^5*T2^2 + 372*T1^6*T2^2 - 
      266*T1^7*T2^2 + 60*T1^8*T2^2 - 89*T2^3 + 191*T1*T2^3 + 412*T1^2*T2^3 - 
      2368*T1^3*T2^3 + 2264*T1^4*T2^3 + 2264*T1^5*T2^3 - 2368*T1^6*T2^3 + 
      412*T1^7*T2^3 + 191*T1^8*T2^3 - 89*T1^9*T2^3 + 60*T2^4 + 191*T1*T2^4 - 
      1380*T1^2*T2^4 + 2264*T1^3*T2^4 + 2859*T1^4*T2^4 - 10017*T1^5*T2^4 + 
      2859*T1^6*T2^4 + 2264*T1^7*T2^4 - 1380*T1^8*T2^4 + 191*T1^9*T2^4 + 
      60*T1^10*T2^4 - 20*T2^5 - 266*T1*T2^5 + 412*T1^2*T2^5 + 
      2264*T1^3*T2^5 - 10017*T1^4*T2^5 + 9368*T1^5*T2^5 + 9368*T1^6*T2^5 - 
      10017*T1^7*T2^5 + 2264*T1^8*T2^5 + 412*T1^9*T2^5 - 266*T1^10*T2^5 - 
      20*T1^11*T2^5 + 3*T2^6 + 114*T1*T2^6 + 372*T1^2*T2^6 - 2368*T1^3*T2^6 + 
      2859*T1^4*T2^6 + 9368*T1^5*T2^6 - 24864*T1^6*T2^6 + 9368*T1^7*T2^6 + 
      2859*T1^8*T2^6 - 2368*T1^9*T2^6 + 372*T1^10*T2^6 + 114*T1^11*T2^6 + 
      3*T1^12*T2^6 - 20*T1*T2^7 - 266*T1^2*T2^7 + 412*T1^3*T2^7 + 
      2264*T1^4*T2^7 - 10017*T1^5*T2^7 + 9368*T1^6*T2^7 + 9368*T1^7*T2^7 - 
      10017*T1^8*T2^7 + 2264*T1^9*T2^7 + 412*T1^10*T2^7 - 266*T1^11*T2^7 - 
      20*T1^12*T2^7 + 60*T1^2*T2^8 + 191*T1^3*T2^8 - 1380*T1^4*T2^8 + 
      2264*T1^5*T2^8 + 2859*T1^6*T2^8 - 10017*T1^7*T2^8 + 2859*T1^8*T2^8 + 
      2264*T1^9*T2^8 - 1380*T1^10*T2^8 + 191*T1^11*T2^8 + 60*T1^12*T2^8 - 
      89*T1^3*T2^9 + 191*T1^4*T2^9 + 412*T1^5*T2^9 - 2368*T1^6*T2^9 + 
      2264*T1^7*T2^9 + 2264*T1^8*T2^9 - 2368*T1^9*T2^9 + 412*T1^10*T2^9 + 
      191*T1^11*T2^9 - 89*T1^12*T2^9 + 60*T1^4*T2^10 - 266*T1^5*T2^10 + 
      372*T1^6*T2^10 + 412*T1^7*T2^10 - 1380*T1^8*T2^10 + 412*T1^9*T2^10 + 
      372*T1^10*T2^10 - 266*T1^11*T2^10 + 60*T1^12*T2^10 - 20*T1^5*T2^11 + 
      114*T1^6*T2^11 - 266*T1^7*T2^11 + 191*T1^8*T2^11 + 191*T1^9*T2^11 - 
      266*T1^10*T2^11 + 114*T1^11*T2^11 - 20*T1^12*T2^11 + 3*T1^6*T2^12 - 
      20*T1^7*T2^12 + 60*T1^8*T2^12 - 89*T1^9*T2^12 + 60*T1^10*T2^12 - 
      20*T1^11*T2^12 + 3*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), -((9 - 35*T1 + 78*T1^2 - 130*T1^3 + 151*T1^4 - 130*T1^5 + 
      78*T1^6 - 35*T1^7 + 9*T1^8 - 35*T2 + 102*T1*T2 - 169*T1^2*T2 + 
      204*T1^3*T2 - 83*T1^4*T2 - 83*T1^5*T2 + 204*T1^6*T2 - 169*T1^7*T2 + 
      102*T1^8*T2 - 35*T1^9*T2 + 78*T2^2 - 169*T1*T2^2 + 220*T1^2*T2^2 - 
      231*T1^3*T2^2 - 18*T1^4*T2^2 + 86*T1^5*T2^2 - 18*T1^6*T2^2 - 
      231*T1^7*T2^2 + 220*T1^8*T2^2 - 169*T1^9*T2^2 + 78*T1^10*T2^2 - 
      130*T2^3 + 204*T1*T2^3 - 231*T1^2*T2^3 + 258*T1^3*T2^3 + 
      131*T1^4*T2^3 - 9*T1^5*T2^3 - 9*T1^6*T2^3 + 131*T1^7*T2^3 + 
      258*T1^8*T2^3 - 231*T1^9*T2^3 + 204*T1^10*T2^3 - 130*T1^11*T2^3 + 
      151*T2^4 - 83*T1*T2^4 - 18*T1^2*T2^4 + 131*T1^3*T2^4 - 795*T1^4*T2^4 + 
      387*T1^5*T2^4 - 545*T1^6*T2^4 + 387*T1^7*T2^4 - 795*T1^8*T2^4 + 
      131*T1^9*T2^4 - 18*T1^10*T2^4 - 83*T1^11*T2^4 + 151*T1^12*T2^4 - 
      130*T2^5 - 83*T1*T2^5 + 86*T1^2*T2^5 - 9*T1^3*T2^5 + 387*T1^4*T2^5 + 
      674*T1^5*T2^5 - 22*T1^6*T2^5 - 22*T1^7*T2^5 + 674*T1^8*T2^5 + 
      387*T1^9*T2^5 - 9*T1^10*T2^5 + 86*T1^11*T2^5 - 83*T1^12*T2^5 - 
      130*T1^13*T2^5 + 78*T2^6 + 204*T1*T2^6 - 18*T1^2*T2^6 - 9*T1^3*T2^6 - 
      545*T1^4*T2^6 - 22*T1^5*T2^6 - 2051*T1^6*T2^6 + 2011*T1^7*T2^6 - 
      2051*T1^8*T2^6 - 22*T1^9*T2^6 - 545*T1^10*T2^6 - 9*T1^11*T2^6 - 
      18*T1^12*T2^6 + 204*T1^13*T2^6 + 78*T1^14*T2^6 - 35*T2^7 - 
      169*T1*T2^7 - 231*T1^2*T2^7 + 131*T1^3*T2^7 + 387*T1^4*T2^7 - 
      22*T1^5*T2^7 + 2011*T1^6*T2^7 - 348*T1^7*T2^7 - 348*T1^8*T2^7 + 
      2011*T1^9*T2^7 - 22*T1^10*T2^7 + 387*T1^11*T2^7 + 131*T1^12*T2^7 - 
      231*T1^13*T2^7 - 169*T1^14*T2^7 - 35*T1^15*T2^7 + 9*T2^8 + 
      102*T1*T2^8 + 220*T1^2*T2^8 + 258*T1^3*T2^8 - 795*T1^4*T2^8 + 
      674*T1^5*T2^8 - 2051*T1^6*T2^8 - 348*T1^7*T2^8 + 132*T1^8*T2^8 - 
      348*T1^9*T2^8 - 2051*T1^10*T2^8 + 674*T1^11*T2^8 - 795*T1^12*T2^8 + 
      258*T1^13*T2^8 + 220*T1^14*T2^8 + 102*T1^15*T2^8 + 9*T1^16*T2^8 - 
      35*T1*T2^9 - 169*T1^2*T2^9 - 231*T1^3*T2^9 + 131*T1^4*T2^9 + 
      387*T1^5*T2^9 - 22*T1^6*T2^9 + 2011*T1^7*T2^9 - 348*T1^8*T2^9 - 
      348*T1^9*T2^9 + 2011*T1^10*T2^9 - 22*T1^11*T2^9 + 387*T1^12*T2^9 + 
      131*T1^13*T2^9 - 231*T1^14*T2^9 - 169*T1^15*T2^9 - 35*T1^16*T2^9 + 
      78*T1^2*T2^10 + 204*T1^3*T2^10 - 18*T1^4*T2^10 - 9*T1^5*T2^10 - 
      545*T1^6*T2^10 - 22*T1^7*T2^10 - 2051*T1^8*T2^10 + 2011*T1^9*T2^10 - 
      2051*T1^10*T2^10 - 22*T1^11*T2^10 - 545*T1^12*T2^10 - 9*T1^13*T2^10 - 
      18*T1^14*T2^10 + 204*T1^15*T2^10 + 78*T1^16*T2^10 - 130*T1^3*T2^11 - 
      83*T1^4*T2^11 + 86*T1^5*T2^11 - 9*T1^6*T2^11 + 387*T1^7*T2^11 + 
      674*T1^8*T2^11 - 22*T1^9*T2^11 - 22*T1^10*T2^11 + 674*T1^11*T2^11 + 
      387*T1^12*T2^11 - 9*T1^13*T2^11 + 86*T1^14*T2^11 - 83*T1^15*T2^11 - 
      130*T1^16*T2^11 + 151*T1^4*T2^12 - 83*T1^5*T2^12 - 18*T1^6*T2^12 + 
      131*T1^7*T2^12 - 795*T1^8*T2^12 + 387*T1^9*T2^12 - 545*T1^10*T2^12 + 
      387*T1^11*T2^12 - 795*T1^12*T2^12 + 131*T1^13*T2^12 - 18*T1^14*T2^12 - 
      83*T1^15*T2^12 + 151*T1^16*T2^12 - 130*T1^5*T2^13 + 204*T1^6*T2^13 - 
      231*T1^7*T2^13 + 258*T1^8*T2^13 + 131*T1^9*T2^13 - 9*T1^10*T2^13 - 
      9*T1^11*T2^13 + 131*T1^12*T2^13 + 258*T1^13*T2^13 - 231*T1^14*T2^13 + 
      204*T1^15*T2^13 - 130*T1^16*T2^13 + 78*T1^6*T2^14 - 169*T1^7*T2^14 + 
      220*T1^8*T2^14 - 231*T1^9*T2^14 - 18*T1^10*T2^14 + 86*T1^11*T2^14 - 
      18*T1^12*T2^14 - 231*T1^13*T2^14 + 220*T1^14*T2^14 - 169*T1^15*T2^14 + 
      78*T1^16*T2^14 - 35*T1^7*T2^15 + 102*T1^8*T2^15 - 169*T1^9*T2^15 + 
      204*T1^10*T2^15 - 83*T1^11*T2^15 - 83*T1^12*T2^15 + 204*T1^13*T2^15 - 
      169*T1^14*T2^15 + 102*T1^15*T2^15 - 35*T1^16*T2^15 + 9*T1^8*T2^16 - 
      35*T1^9*T2^16 + 78*T1^10*T2^16 - 130*T1^11*T2^16 + 151*T1^12*T2^16 - 
      130*T1^13*T2^16 + 78*T1^14*T2^16 - 35*T1^15*T2^16 + 9*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 532] -> 
  {-((4 - 15*T + 27*T^2 - 33*T^3 + 27*T^4 - 15*T^5 + 4*T^6)/T^3), 
   -((16 - 56*T1 + 100*T1^2 - 128*T1^3 + 100*T1^4 - 56*T1^5 + 16*T1^6 - 
      56*T2 + 144*T1*T2 - 160*T1^2*T2 + 100*T1^3*T2 + 100*T1^4*T2 - 
      160*T1^5*T2 + 144*T1^6*T2 - 56*T1^7*T2 + 100*T2^2 - 160*T1*T2^2 + 
      69*T1^2*T2^2 - 67*T1^3*T2^2 - 93*T1^4*T2^2 - 67*T1^5*T2^2 + 
      69*T1^6*T2^2 - 160*T1^7*T2^2 + 100*T1^8*T2^2 - 128*T2^3 + 100*T1*T2^3 - 
      67*T1^2*T2^3 + 446*T1^3*T2^3 - 64*T1^4*T2^3 - 64*T1^5*T2^3 + 
      446*T1^6*T2^3 - 67*T1^7*T2^3 + 100*T1^8*T2^3 - 128*T1^9*T2^3 + 
      100*T2^4 + 100*T1*T2^4 - 93*T1^2*T2^4 - 64*T1^3*T2^4 - 1614*T1^4*T2^4 + 
      1942*T1^5*T2^4 - 1614*T1^6*T2^4 - 64*T1^7*T2^4 - 93*T1^8*T2^4 + 
      100*T1^9*T2^4 + 100*T1^10*T2^4 - 56*T2^5 - 160*T1*T2^5 - 67*T1^2*T2^5 - 
      64*T1^3*T2^5 + 1942*T1^4*T2^5 - 660*T1^5*T2^5 - 660*T1^6*T2^5 + 
      1942*T1^7*T2^5 - 64*T1^8*T2^5 - 67*T1^9*T2^5 - 160*T1^10*T2^5 - 
      56*T1^11*T2^5 + 16*T2^6 + 144*T1*T2^6 + 69*T1^2*T2^6 + 446*T1^3*T2^6 - 
      1614*T1^4*T2^6 - 660*T1^5*T2^6 + 1032*T1^6*T2^6 - 660*T1^7*T2^6 - 
      1614*T1^8*T2^6 + 446*T1^9*T2^6 + 69*T1^10*T2^6 + 144*T1^11*T2^6 + 
      16*T1^12*T2^6 - 56*T1*T2^7 - 160*T1^2*T2^7 - 67*T1^3*T2^7 - 
      64*T1^4*T2^7 + 1942*T1^5*T2^7 - 660*T1^6*T2^7 - 660*T1^7*T2^7 + 
      1942*T1^8*T2^7 - 64*T1^9*T2^7 - 67*T1^10*T2^7 - 160*T1^11*T2^7 - 
      56*T1^12*T2^7 + 100*T1^2*T2^8 + 100*T1^3*T2^8 - 93*T1^4*T2^8 - 
      64*T1^5*T2^8 - 1614*T1^6*T2^8 + 1942*T1^7*T2^8 - 1614*T1^8*T2^8 - 
      64*T1^9*T2^8 - 93*T1^10*T2^8 + 100*T1^11*T2^8 + 100*T1^12*T2^8 - 
      128*T1^3*T2^9 + 100*T1^4*T2^9 - 67*T1^5*T2^9 + 446*T1^6*T2^9 - 
      64*T1^7*T2^9 - 64*T1^8*T2^9 + 446*T1^9*T2^9 - 67*T1^10*T2^9 + 
      100*T1^11*T2^9 - 128*T1^12*T2^9 + 100*T1^4*T2^10 - 160*T1^5*T2^10 + 
      69*T1^6*T2^10 - 67*T1^7*T2^10 - 93*T1^8*T2^10 - 67*T1^9*T2^10 + 
      69*T1^10*T2^10 - 160*T1^11*T2^10 + 100*T1^12*T2^10 - 56*T1^5*T2^11 + 
      144*T1^6*T2^11 - 160*T1^7*T2^11 + 100*T1^8*T2^11 + 100*T1^9*T2^11 - 
      160*T1^10*T2^11 + 144*T1^11*T2^11 - 56*T1^12*T2^11 + 16*T1^6*T2^12 - 
      56*T1^7*T2^12 + 100*T1^8*T2^12 - 128*T1^9*T2^12 + 100*T1^10*T2^12 - 
      56*T1^11*T2^12 + 16*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, -((17 - 67*T1 + 149*T1^2 - 213*T1^3 + 237*T1^4 - 213*T1^5 + 
      149*T1^6 - 67*T1^7 + 17*T1^8 - 67*T2 + 198*T1*T2 - 326*T1^2*T2 + 
      256*T1^3*T2 - 96*T1^4*T2 - 96*T1^5*T2 + 256*T1^6*T2 - 326*T1^7*T2 + 
      198*T1^8*T2 - 67*T1^9*T2 + 149*T2^2 - 326*T1*T2^2 + 412*T1^2*T2^2 - 
      102*T1^3*T2^2 - 18*T1^4*T2^2 + 58*T1^5*T2^2 - 18*T1^6*T2^2 - 
      102*T1^7*T2^2 + 412*T1^8*T2^2 - 326*T1^9*T2^2 + 149*T1^10*T2^2 - 
      213*T2^3 + 256*T1*T2^3 - 102*T1^2*T2^3 - 516*T1^3*T2^3 + 
      280*T1^4*T2^3 - 100*T1^5*T2^3 - 100*T1^6*T2^3 + 280*T1^7*T2^3 - 
      516*T1^8*T2^3 - 102*T1^9*T2^3 + 256*T1^10*T2^3 - 213*T1^11*T2^3 + 
      237*T2^4 - 96*T1*T2^4 - 18*T1^2*T2^4 + 280*T1^3*T2^4 + 1019*T1^4*T2^4 - 
      1391*T1^5*T2^4 + 1561*T1^6*T2^4 - 1391*T1^7*T2^4 + 1019*T1^8*T2^4 + 
      280*T1^9*T2^4 - 18*T1^10*T2^4 - 96*T1^11*T2^4 + 237*T1^12*T2^4 - 
      213*T2^5 - 96*T1*T2^5 + 58*T1^2*T2^5 - 100*T1^3*T2^5 - 1391*T1^4*T2^5 + 
      692*T1^5*T2^5 - 286*T1^6*T2^5 - 286*T1^7*T2^5 + 692*T1^8*T2^5 - 
      1391*T1^9*T2^5 - 100*T1^10*T2^5 + 58*T1^11*T2^5 - 96*T1^12*T2^5 - 
      213*T1^13*T2^5 + 149*T2^6 + 256*T1*T2^6 - 18*T1^2*T2^6 - 
      100*T1^3*T2^6 + 1561*T1^4*T2^6 - 286*T1^5*T2^6 + 471*T1^6*T2^6 - 
      377*T1^7*T2^6 + 471*T1^8*T2^6 - 286*T1^9*T2^6 + 1561*T1^10*T2^6 - 
      100*T1^11*T2^6 - 18*T1^12*T2^6 + 256*T1^13*T2^6 + 149*T1^14*T2^6 - 
      67*T2^7 - 326*T1*T2^7 - 102*T1^2*T2^7 + 280*T1^3*T2^7 - 
      1391*T1^4*T2^7 - 286*T1^5*T2^7 - 377*T1^6*T2^7 + 62*T1^7*T2^7 + 
      62*T1^8*T2^7 - 377*T1^9*T2^7 - 286*T1^10*T2^7 - 1391*T1^11*T2^7 + 
      280*T1^12*T2^7 - 102*T1^13*T2^7 - 326*T1^14*T2^7 - 67*T1^15*T2^7 + 
      17*T2^8 + 198*T1*T2^8 + 412*T1^2*T2^8 - 516*T1^3*T2^8 + 
      1019*T1^4*T2^8 + 692*T1^5*T2^8 + 471*T1^6*T2^8 + 62*T1^7*T2^8 - 
      36*T1^8*T2^8 + 62*T1^9*T2^8 + 471*T1^10*T2^8 + 692*T1^11*T2^8 + 
      1019*T1^12*T2^8 - 516*T1^13*T2^8 + 412*T1^14*T2^8 + 198*T1^15*T2^8 + 
      17*T1^16*T2^8 - 67*T1*T2^9 - 326*T1^2*T2^9 - 102*T1^3*T2^9 + 
      280*T1^4*T2^9 - 1391*T1^5*T2^9 - 286*T1^6*T2^9 - 377*T1^7*T2^9 + 
      62*T1^8*T2^9 + 62*T1^9*T2^9 - 377*T1^10*T2^9 - 286*T1^11*T2^9 - 
      1391*T1^12*T2^9 + 280*T1^13*T2^9 - 102*T1^14*T2^9 - 326*T1^15*T2^9 - 
      67*T1^16*T2^9 + 149*T1^2*T2^10 + 256*T1^3*T2^10 - 18*T1^4*T2^10 - 
      100*T1^5*T2^10 + 1561*T1^6*T2^10 - 286*T1^7*T2^10 + 471*T1^8*T2^10 - 
      377*T1^9*T2^10 + 471*T1^10*T2^10 - 286*T1^11*T2^10 + 1561*T1^12*T2^10 - 
      100*T1^13*T2^10 - 18*T1^14*T2^10 + 256*T1^15*T2^10 + 149*T1^16*T2^10 - 
      213*T1^3*T2^11 - 96*T1^4*T2^11 + 58*T1^5*T2^11 - 100*T1^6*T2^11 - 
      1391*T1^7*T2^11 + 692*T1^8*T2^11 - 286*T1^9*T2^11 - 286*T1^10*T2^11 + 
      692*T1^11*T2^11 - 1391*T1^12*T2^11 - 100*T1^13*T2^11 + 58*T1^14*T2^11 - 
      96*T1^15*T2^11 - 213*T1^16*T2^11 + 237*T1^4*T2^12 - 96*T1^5*T2^12 - 
      18*T1^6*T2^12 + 280*T1^7*T2^12 + 1019*T1^8*T2^12 - 1391*T1^9*T2^12 + 
      1561*T1^10*T2^12 - 1391*T1^11*T2^12 + 1019*T1^12*T2^12 + 
      280*T1^13*T2^12 - 18*T1^14*T2^12 - 96*T1^15*T2^12 + 237*T1^16*T2^12 - 
      213*T1^5*T2^13 + 256*T1^6*T2^13 - 102*T1^7*T2^13 - 516*T1^8*T2^13 + 
      280*T1^9*T2^13 - 100*T1^10*T2^13 - 100*T1^11*T2^13 + 280*T1^12*T2^13 - 
      516*T1^13*T2^13 - 102*T1^14*T2^13 + 256*T1^15*T2^13 - 213*T1^16*T2^13 + 
      149*T1^6*T2^14 - 326*T1^7*T2^14 + 412*T1^8*T2^14 - 102*T1^9*T2^14 - 
      18*T1^10*T2^14 + 58*T1^11*T2^14 - 18*T1^12*T2^14 - 102*T1^13*T2^14 + 
      412*T1^14*T2^14 - 326*T1^15*T2^14 + 149*T1^16*T2^14 - 67*T1^7*T2^15 + 
      198*T1^8*T2^15 - 326*T1^9*T2^15 + 256*T1^10*T2^15 - 96*T1^11*T2^15 - 
      96*T1^12*T2^15 + 256*T1^13*T2^15 - 326*T1^14*T2^15 + 198*T1^15*T2^15 - 
      67*T1^16*T2^15 + 17*T1^8*T2^16 - 67*T1^9*T2^16 + 149*T1^10*T2^16 - 
      213*T1^11*T2^16 + 237*T1^12*T2^16 - 213*T1^13*T2^16 + 149*T1^14*T2^16 - 
      67*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 534] -> 
  {(4 - 17*T + 37*T^2 - 47*T^3 + 37*T^4 - 17*T^5 + 4*T^6)/T^3, 
   -((80 - 332*T1 + 712*T1^2 - 896*T1^3 + 712*T1^4 - 332*T1^5 + 80*T1^6 - 
      332*T2 + 1050*T1*T2 - 1588*T1^2*T2 + 772*T1^3*T2 + 772*T1^4*T2 - 
      1588*T1^5*T2 + 1050*T1^6*T2 - 332*T1^7*T2 + 712*T2^2 - 1588*T1*T2^2 + 
      1335*T1^2*T2^2 + 1455*T1^3*T2^2 - 3011*T1^4*T2^2 + 1455*T1^5*T2^2 + 
      1335*T1^6*T2^2 - 1588*T1^7*T2^2 + 712*T1^8*T2^2 - 896*T2^3 + 
      772*T1*T2^3 + 1455*T1^2*T2^3 - 5372*T1^3*T2^3 + 2944*T1^4*T2^3 + 
      2944*T1^5*T2^3 - 5372*T1^6*T2^3 + 1455*T1^7*T2^3 + 772*T1^8*T2^3 - 
      896*T1^9*T2^3 + 712*T2^4 + 772*T1*T2^4 - 3011*T1^2*T2^4 + 
      2944*T1^3*T2^4 + 6868*T1^4*T2^4 - 12366*T1^5*T2^4 + 6868*T1^6*T2^4 + 
      2944*T1^7*T2^4 - 3011*T1^8*T2^4 + 772*T1^9*T2^4 + 712*T1^10*T2^4 - 
      332*T2^5 - 1588*T1*T2^5 + 1455*T1^2*T2^5 + 2944*T1^3*T2^5 - 
      12366*T1^4*T2^5 + 6844*T1^5*T2^5 + 6844*T1^6*T2^5 - 12366*T1^7*T2^5 + 
      2944*T1^8*T2^5 + 1455*T1^9*T2^5 - 1588*T1^10*T2^5 - 332*T1^11*T2^5 + 
      80*T2^6 + 1050*T1*T2^6 + 1335*T1^2*T2^6 - 5372*T1^3*T2^6 + 
      6868*T1^4*T2^6 + 6844*T1^5*T2^6 - 14748*T1^6*T2^6 + 6844*T1^7*T2^6 + 
      6868*T1^8*T2^6 - 5372*T1^9*T2^6 + 1335*T1^10*T2^6 + 1050*T1^11*T2^6 + 
      80*T1^12*T2^6 - 332*T1*T2^7 - 1588*T1^2*T2^7 + 1455*T1^3*T2^7 + 
      2944*T1^4*T2^7 - 12366*T1^5*T2^7 + 6844*T1^6*T2^7 + 6844*T1^7*T2^7 - 
      12366*T1^8*T2^7 + 2944*T1^9*T2^7 + 1455*T1^10*T2^7 - 1588*T1^11*T2^7 - 
      332*T1^12*T2^7 + 712*T1^2*T2^8 + 772*T1^3*T2^8 - 3011*T1^4*T2^8 + 
      2944*T1^5*T2^8 + 6868*T1^6*T2^8 - 12366*T1^7*T2^8 + 6868*T1^8*T2^8 + 
      2944*T1^9*T2^8 - 3011*T1^10*T2^8 + 772*T1^11*T2^8 + 712*T1^12*T2^8 - 
      896*T1^3*T2^9 + 772*T1^4*T2^9 + 1455*T1^5*T2^9 - 5372*T1^6*T2^9 + 
      2944*T1^7*T2^9 + 2944*T1^8*T2^9 - 5372*T1^9*T2^9 + 1455*T1^10*T2^9 + 
      772*T1^11*T2^9 - 896*T1^12*T2^9 + 712*T1^4*T2^10 - 1588*T1^5*T2^10 + 
      1335*T1^6*T2^10 + 1455*T1^7*T2^10 - 3011*T1^8*T2^10 + 1455*T1^9*T2^10 + 
      1335*T1^10*T2^10 - 1588*T1^11*T2^10 + 712*T1^12*T2^10 - 
      332*T1^5*T2^11 + 1050*T1^6*T2^11 - 1588*T1^7*T2^11 + 772*T1^8*T2^11 + 
      772*T1^9*T2^11 - 1588*T1^10*T2^11 + 1050*T1^11*T2^11 - 
      332*T1^12*T2^11 + 80*T1^6*T2^12 - 332*T1^7*T2^12 + 712*T1^8*T2^12 - 
      896*T1^9*T2^12 + 712*T1^10*T2^12 - 332*T1^11*T2^12 + 80*T1^12*T2^12)/
     (T1^6*T2^6))}, 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), 
   (1 - 7*T1 + 21*T1^2 - 37*T1^3 + 43*T1^4 - 37*T1^5 + 21*T1^6 - 7*T1^7 + 
     T1^8 - 7*T2 + 42*T1*T2 - 98*T1^2*T2 + 112*T1^3*T2 - 42*T1^4*T2 - 
     42*T1^5*T2 + 112*T1^6*T2 - 98*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 
     21*T2^2 - 98*T1*T2^2 + 125*T1^2*T2^2 + 81*T1^3*T2^2 - 425*T1^4*T2^2 + 
     505*T1^5*T2^2 - 425*T1^6*T2^2 + 81*T1^7*T2^2 + 125*T1^8*T2^2 - 
     98*T1^9*T2^2 + 21*T1^10*T2^2 - 37*T2^3 + 112*T1*T2^3 + 81*T1^2*T2^3 - 
     664*T1^3*T2^3 + 968*T1^4*T2^3 - 294*T1^5*T2^3 - 294*T1^6*T2^3 + 
     968*T1^7*T2^3 - 664*T1^8*T2^3 + 81*T1^9*T2^3 + 112*T1^10*T2^3 - 
     37*T1^11*T2^3 + 43*T2^4 - 42*T1*T2^4 - 425*T1^2*T2^4 + 968*T1^3*T2^4 - 
     251*T1^4*T2^4 - 1691*T1^5*T2^4 + 1919*T1^6*T2^4 - 1691*T1^7*T2^4 - 
     251*T1^8*T2^4 + 968*T1^9*T2^4 - 425*T1^10*T2^4 - 42*T1^11*T2^4 + 
     43*T1^12*T2^4 - 37*T2^5 - 42*T1*T2^5 + 505*T1^2*T2^5 - 294*T1^3*T2^5 - 
     1691*T1^4*T2^5 + 3390*T1^5*T2^5 - 978*T1^6*T2^5 - 978*T1^7*T2^5 + 
     3390*T1^8*T2^5 - 1691*T1^9*T2^5 - 294*T1^10*T2^5 + 505*T1^11*T2^5 - 
     42*T1^12*T2^5 - 37*T1^13*T2^5 + 21*T2^6 + 112*T1*T2^6 - 425*T1^2*T2^6 - 
     294*T1^3*T2^6 + 1919*T1^4*T2^6 - 978*T1^5*T2^6 - 4122*T1^6*T2^6 + 
     4956*T1^7*T2^6 - 4122*T1^8*T2^6 - 978*T1^9*T2^6 + 1919*T1^10*T2^6 - 
     294*T1^11*T2^6 - 425*T1^12*T2^6 + 112*T1^13*T2^6 + 21*T1^14*T2^6 - 
     7*T2^7 - 98*T1*T2^7 + 81*T1^2*T2^7 + 968*T1^3*T2^7 - 1691*T1^4*T2^7 - 
     978*T1^5*T2^7 + 4956*T1^6*T2^7 - 1632*T1^7*T2^7 - 1632*T1^8*T2^7 + 
     4956*T1^9*T2^7 - 978*T1^10*T2^7 - 1691*T1^11*T2^7 + 968*T1^12*T2^7 + 
     81*T1^13*T2^7 - 98*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 
     125*T1^2*T2^8 - 664*T1^3*T2^8 - 251*T1^4*T2^8 + 3390*T1^5*T2^8 - 
     4122*T1^6*T2^8 - 1632*T1^7*T2^8 + 2808*T1^8*T2^8 - 1632*T1^9*T2^8 - 
     4122*T1^10*T2^8 + 3390*T1^11*T2^8 - 251*T1^12*T2^8 - 664*T1^13*T2^8 + 
     125*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 98*T1^2*T2^9 + 
     81*T1^3*T2^9 + 968*T1^4*T2^9 - 1691*T1^5*T2^9 - 978*T1^6*T2^9 + 
     4956*T1^7*T2^9 - 1632*T1^8*T2^9 - 1632*T1^9*T2^9 + 4956*T1^10*T2^9 - 
     978*T1^11*T2^9 - 1691*T1^12*T2^9 + 968*T1^13*T2^9 + 81*T1^14*T2^9 - 
     98*T1^15*T2^9 - 7*T1^16*T2^9 + 21*T1^2*T2^10 + 112*T1^3*T2^10 - 
     425*T1^4*T2^10 - 294*T1^5*T2^10 + 1919*T1^6*T2^10 - 978*T1^7*T2^10 - 
     4122*T1^8*T2^10 + 4956*T1^9*T2^10 - 4122*T1^10*T2^10 - 978*T1^11*T2^10 + 
     1919*T1^12*T2^10 - 294*T1^13*T2^10 - 425*T1^14*T2^10 + 112*T1^15*T2^10 + 
     21*T1^16*T2^10 - 37*T1^3*T2^11 - 42*T1^4*T2^11 + 505*T1^5*T2^11 - 
     294*T1^6*T2^11 - 1691*T1^7*T2^11 + 3390*T1^8*T2^11 - 978*T1^9*T2^11 - 
     978*T1^10*T2^11 + 3390*T1^11*T2^11 - 1691*T1^12*T2^11 - 
     294*T1^13*T2^11 + 505*T1^14*T2^11 - 42*T1^15*T2^11 - 37*T1^16*T2^11 + 
     43*T1^4*T2^12 - 42*T1^5*T2^12 - 425*T1^6*T2^12 + 968*T1^7*T2^12 - 
     251*T1^8*T2^12 - 1691*T1^9*T2^12 + 1919*T1^10*T2^12 - 1691*T1^11*T2^12 - 
     251*T1^12*T2^12 + 968*T1^13*T2^12 - 425*T1^14*T2^12 - 42*T1^15*T2^12 + 
     43*T1^16*T2^12 - 37*T1^5*T2^13 + 112*T1^6*T2^13 + 81*T1^7*T2^13 - 
     664*T1^8*T2^13 + 968*T1^9*T2^13 - 294*T1^10*T2^13 - 294*T1^11*T2^13 + 
     968*T1^12*T2^13 - 664*T1^13*T2^13 + 81*T1^14*T2^13 + 112*T1^15*T2^13 - 
     37*T1^16*T2^13 + 21*T1^6*T2^14 - 98*T1^7*T2^14 + 125*T1^8*T2^14 + 
     81*T1^9*T2^14 - 425*T1^10*T2^14 + 505*T1^11*T2^14 - 425*T1^12*T2^14 + 
     81*T1^13*T2^14 + 125*T1^14*T2^14 - 98*T1^15*T2^14 + 21*T1^16*T2^14 - 
     7*T1^7*T2^15 + 42*T1^8*T2^15 - 98*T1^9*T2^15 + 112*T1^10*T2^15 - 
     42*T1^11*T2^15 - 42*T1^12*T2^15 + 112*T1^13*T2^15 - 98*T1^14*T2^15 + 
     42*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 
     21*T1^10*T2^16 - 37*T1^11*T2^16 + 43*T1^12*T2^16 - 37*T1^13*T2^16 + 
     21*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 
   (2 - 14*T1 + 38*T1^2 - 54*T1^3 + 58*T1^4 - 54*T1^5 + 38*T1^6 - 14*T1^7 + 
     2*T1^8 - 14*T2 + 84*T1*T2 - 168*T1^2*T2 + 112*T1^3*T2 - 28*T1^4*T2 - 
     28*T1^5*T2 + 112*T1^6*T2 - 168*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
     38*T2^2 - 168*T1*T2^2 + 80*T1^2*T2^2 + 546*T1^3*T2^2 - 794*T1^4*T2^2 + 
     764*T1^5*T2^2 - 794*T1^6*T2^2 + 546*T1^7*T2^2 + 80*T1^8*T2^2 - 
     168*T1^9*T2^2 + 38*T1^10*T2^2 - 54*T2^3 + 112*T1*T2^3 + 546*T1^2*T2^3 - 
     1726*T1^3*T2^3 + 956*T1^4*T2^3 - 126*T1^5*T2^3 - 126*T1^6*T2^3 + 
     956*T1^7*T2^3 - 1726*T1^8*T2^3 + 546*T1^9*T2^3 + 112*T1^10*T2^3 - 
     54*T1^11*T2^3 + 58*T2^4 - 28*T1*T2^4 - 794*T1^2*T2^4 + 956*T1^3*T2^4 + 
     2337*T1^4*T2^4 - 3301*T1^5*T2^4 + 2897*T1^6*T2^4 - 3301*T1^7*T2^4 + 
     2337*T1^8*T2^4 + 956*T1^9*T2^4 - 794*T1^10*T2^4 - 28*T1^11*T2^4 + 
     58*T1^12*T2^4 - 54*T2^5 - 28*T1*T2^5 + 764*T1^2*T2^5 - 126*T1^3*T2^5 - 
     3301*T1^4*T2^5 + 1534*T1^5*T2^5 + 58*T1^6*T2^5 + 58*T1^7*T2^5 + 
     1534*T1^8*T2^5 - 3301*T1^9*T2^5 - 126*T1^10*T2^5 + 764*T1^11*T2^5 - 
     28*T1^12*T2^5 - 54*T1^13*T2^5 + 38*T2^6 + 112*T1*T2^6 - 794*T1^2*T2^6 - 
     126*T1^3*T2^6 + 2897*T1^4*T2^6 + 58*T1^5*T2^6 - 324*T1^6*T2^6 - 
     580*T1^7*T2^6 - 324*T1^8*T2^6 + 58*T1^9*T2^6 + 2897*T1^10*T2^6 - 
     126*T1^11*T2^6 - 794*T1^12*T2^6 + 112*T1^13*T2^6 + 38*T1^14*T2^6 - 
     14*T2^7 - 168*T1*T2^7 + 546*T1^2*T2^7 + 956*T1^3*T2^7 - 3301*T1^4*T2^7 + 
     58*T1^5*T2^7 - 580*T1^6*T2^7 + 674*T1^7*T2^7 + 674*T1^8*T2^7 - 
     580*T1^9*T2^7 + 58*T1^10*T2^7 - 3301*T1^11*T2^7 + 956*T1^12*T2^7 + 
     546*T1^13*T2^7 - 168*T1^14*T2^7 - 14*T1^15*T2^7 + 2*T2^8 + 84*T1*T2^8 + 
     80*T1^2*T2^8 - 1726*T1^3*T2^8 + 2337*T1^4*T2^8 + 1534*T1^5*T2^8 - 
     324*T1^6*T2^8 + 674*T1^7*T2^8 - 1500*T1^8*T2^8 + 674*T1^9*T2^8 - 
     324*T1^10*T2^8 + 1534*T1^11*T2^8 + 2337*T1^12*T2^8 - 1726*T1^13*T2^8 + 
     80*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 14*T1*T2^9 - 
     168*T1^2*T2^9 + 546*T1^3*T2^9 + 956*T1^4*T2^9 - 3301*T1^5*T2^9 + 
     58*T1^6*T2^9 - 580*T1^7*T2^9 + 674*T1^8*T2^9 + 674*T1^9*T2^9 - 
     580*T1^10*T2^9 + 58*T1^11*T2^9 - 3301*T1^12*T2^9 + 956*T1^13*T2^9 + 
     546*T1^14*T2^9 - 168*T1^15*T2^9 - 14*T1^16*T2^9 + 38*T1^2*T2^10 + 
     112*T1^3*T2^10 - 794*T1^4*T2^10 - 126*T1^5*T2^10 + 2897*T1^6*T2^10 + 
     58*T1^7*T2^10 - 324*T1^8*T2^10 - 580*T1^9*T2^10 - 324*T1^10*T2^10 + 
     58*T1^11*T2^10 + 2897*T1^12*T2^10 - 126*T1^13*T2^10 - 794*T1^14*T2^10 + 
     112*T1^15*T2^10 + 38*T1^16*T2^10 - 54*T1^3*T2^11 - 28*T1^4*T2^11 + 
     764*T1^5*T2^11 - 126*T1^6*T2^11 - 3301*T1^7*T2^11 + 1534*T1^8*T2^11 + 
     58*T1^9*T2^11 + 58*T1^10*T2^11 + 1534*T1^11*T2^11 - 3301*T1^12*T2^11 - 
     126*T1^13*T2^11 + 764*T1^14*T2^11 - 28*T1^15*T2^11 - 54*T1^16*T2^11 + 
     58*T1^4*T2^12 - 28*T1^5*T2^12 - 794*T1^6*T2^12 + 956*T1^7*T2^12 + 
     2337*T1^8*T2^12 - 3301*T1^9*T2^12 + 2897*T1^10*T2^12 - 
     3301*T1^11*T2^12 + 2337*T1^12*T2^12 + 956*T1^13*T2^12 - 
     794*T1^14*T2^12 - 28*T1^15*T2^12 + 58*T1^16*T2^12 - 54*T1^5*T2^13 + 
     112*T1^6*T2^13 + 546*T1^7*T2^13 - 1726*T1^8*T2^13 + 956*T1^9*T2^13 - 
     126*T1^10*T2^13 - 126*T1^11*T2^13 + 956*T1^12*T2^13 - 1726*T1^13*T2^13 + 
     546*T1^14*T2^13 + 112*T1^15*T2^13 - 54*T1^16*T2^13 + 38*T1^6*T2^14 - 
     168*T1^7*T2^14 + 80*T1^8*T2^14 + 546*T1^9*T2^14 - 794*T1^10*T2^14 + 
     764*T1^11*T2^14 - 794*T1^12*T2^14 + 546*T1^13*T2^14 + 80*T1^14*T2^14 - 
     168*T1^15*T2^14 + 38*T1^16*T2^14 - 14*T1^7*T2^15 + 84*T1^8*T2^15 - 
     168*T1^9*T2^15 + 112*T1^10*T2^15 - 28*T1^11*T2^15 - 28*T1^12*T2^15 + 
     112*T1^13*T2^15 - 168*T1^14*T2^15 + 84*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)/(T1^8*T2^8)}, Knot[12, Alternating, 537] -> 
  {(2 - 15*T + 43*T^2 - 59*T^3 + 43*T^4 - 15*T^5 + 2*T^6)/T^3, 
   (9 - 67*T1 + 191*T1^2 - 261*T1^3 + 191*T1^4 - 67*T1^5 + 9*T1^6 - 67*T2 + 
     432*T1*T2 - 924*T1^2*T2 + 522*T1^3*T2 + 522*T1^4*T2 - 924*T1^5*T2 + 
     432*T1^6*T2 - 67*T1^7*T2 + 191*T2^2 - 924*T1*T2^2 + 586*T1^2*T2^2 + 
     3382*T1^3*T2^2 - 6006*T1^4*T2^2 + 3382*T1^5*T2^2 + 586*T1^6*T2^2 - 
     924*T1^7*T2^2 + 191*T1^8*T2^2 - 261*T2^3 + 522*T1*T2^3 + 
     3382*T1^2*T2^3 - 11414*T1^3*T2^3 + 6942*T1^4*T2^3 + 6942*T1^5*T2^3 - 
     11414*T1^6*T2^3 + 3382*T1^7*T2^3 + 522*T1^8*T2^3 - 261*T1^9*T2^3 + 
     191*T2^4 + 522*T1*T2^4 - 6006*T1^2*T2^4 + 6942*T1^3*T2^4 + 
     17105*T1^4*T2^4 - 33679*T1^5*T2^4 + 17105*T1^6*T2^4 + 6942*T1^7*T2^4 - 
     6006*T1^8*T2^4 + 522*T1^9*T2^4 + 191*T1^10*T2^4 - 67*T2^5 - 
     924*T1*T2^5 + 3382*T1^2*T2^5 + 6942*T1^3*T2^5 - 33679*T1^4*T2^5 + 
     21274*T1^5*T2^5 + 21274*T1^6*T2^5 - 33679*T1^7*T2^5 + 6942*T1^8*T2^5 + 
     3382*T1^9*T2^5 - 924*T1^10*T2^5 - 67*T1^11*T2^5 + 9*T2^6 + 432*T1*T2^6 + 
     586*T1^2*T2^6 - 11414*T1^3*T2^6 + 17105*T1^4*T2^6 + 21274*T1^5*T2^6 - 
     48828*T1^6*T2^6 + 21274*T1^7*T2^6 + 17105*T1^8*T2^6 - 11414*T1^9*T2^6 + 
     586*T1^10*T2^6 + 432*T1^11*T2^6 + 9*T1^12*T2^6 - 67*T1*T2^7 - 
     924*T1^2*T2^7 + 3382*T1^3*T2^7 + 6942*T1^4*T2^7 - 33679*T1^5*T2^7 + 
     21274*T1^6*T2^7 + 21274*T1^7*T2^7 - 33679*T1^8*T2^7 + 6942*T1^9*T2^7 + 
     3382*T1^10*T2^7 - 924*T1^11*T2^7 - 67*T1^12*T2^7 + 191*T1^2*T2^8 + 
     522*T1^3*T2^8 - 6006*T1^4*T2^8 + 6942*T1^5*T2^8 + 17105*T1^6*T2^8 - 
     33679*T1^7*T2^8 + 17105*T1^8*T2^8 + 6942*T1^9*T2^8 - 6006*T1^10*T2^8 + 
     522*T1^11*T2^8 + 191*T1^12*T2^8 - 261*T1^3*T2^9 + 522*T1^4*T2^9 + 
     3382*T1^5*T2^9 - 11414*T1^6*T2^9 + 6942*T1^7*T2^9 + 6942*T1^8*T2^9 - 
     11414*T1^9*T2^9 + 3382*T1^10*T2^9 + 522*T1^11*T2^9 - 261*T1^12*T2^9 + 
     191*T1^4*T2^10 - 924*T1^5*T2^10 + 586*T1^6*T2^10 + 3382*T1^7*T2^10 - 
     6006*T1^8*T2^10 + 3382*T1^9*T2^10 + 586*T1^10*T2^10 - 924*T1^11*T2^10 + 
     191*T1^12*T2^10 - 67*T1^5*T2^11 + 432*T1^6*T2^11 - 924*T1^7*T2^11 + 
     522*T1^8*T2^11 + 522*T1^9*T2^11 - 924*T1^10*T2^11 + 432*T1^11*T2^11 - 
     67*T1^12*T2^11 + 9*T1^6*T2^12 - 67*T1^7*T2^12 + 191*T1^8*T2^12 - 
     261*T1^9*T2^12 + 191*T1^10*T2^12 - 67*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, 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), -((25 - 99*T1 + 147*T1^2 - 159*T1^3 + 159*T1^4 - 159*T1^5 + 
      147*T1^6 - 99*T1^7 + 25*T1^8 - 99*T2 + 294*T1*T2 - 192*T1^2*T2 + 
      48*T1^3*T2 + 48*T1^6*T2 - 192*T1^7*T2 + 294*T1^8*T2 - 99*T1^9*T2 + 
      147*T2^2 - 192*T1*T2^2 - 544*T1^2*T2^2 + 822*T1^3*T2^2 - 
      742*T1^4*T2^2 + 674*T1^5*T2^2 - 742*T1^6*T2^2 + 822*T1^7*T2^2 - 
      544*T1^8*T2^2 - 192*T1^9*T2^2 + 147*T1^10*T2^2 - 159*T2^3 + 
      48*T1*T2^3 + 822*T1^2*T2^3 - 378*T1^3*T2^3 - 38*T1^4*T2^3 + 
      62*T1^5*T2^3 + 62*T1^6*T2^3 - 38*T1^7*T2^3 - 378*T1^8*T2^3 + 
      822*T1^9*T2^3 + 48*T1^10*T2^3 - 159*T1^11*T2^3 + 159*T2^4 - 
      742*T1^2*T2^4 - 38*T1^3*T2^4 - 42*T1^4*T2^4 + 314*T1^5*T2^4 - 
      412*T1^6*T2^4 + 314*T1^7*T2^4 - 42*T1^8*T2^4 - 38*T1^9*T2^4 - 
      742*T1^10*T2^4 + 159*T1^12*T2^4 - 159*T2^5 + 674*T1^2*T2^5 + 
      62*T1^3*T2^5 + 314*T1^4*T2^5 - 220*T1^5*T2^5 + 56*T1^6*T2^5 + 
      56*T1^7*T2^5 - 220*T1^8*T2^5 + 314*T1^9*T2^5 + 62*T1^10*T2^5 + 
      674*T1^11*T2^5 - 159*T1^13*T2^5 + 147*T2^6 + 48*T1*T2^6 - 
      742*T1^2*T2^6 + 62*T1^3*T2^6 - 412*T1^4*T2^6 + 56*T1^5*T2^6 - 
      103*T1^6*T2^6 + 173*T1^7*T2^6 - 103*T1^8*T2^6 + 56*T1^9*T2^6 - 
      412*T1^10*T2^6 + 62*T1^11*T2^6 - 742*T1^12*T2^6 + 48*T1^13*T2^6 + 
      147*T1^14*T2^6 - 99*T2^7 - 192*T1*T2^7 + 822*T1^2*T2^7 - 38*T1^3*T2^7 + 
      314*T1^4*T2^7 + 56*T1^5*T2^7 + 173*T1^6*T2^7 - 96*T1^7*T2^7 - 
      96*T1^8*T2^7 + 173*T1^9*T2^7 + 56*T1^10*T2^7 + 314*T1^11*T2^7 - 
      38*T1^12*T2^7 + 822*T1^13*T2^7 - 192*T1^14*T2^7 - 99*T1^15*T2^7 + 
      25*T2^8 + 294*T1*T2^8 - 544*T1^2*T2^8 - 378*T1^3*T2^8 - 42*T1^4*T2^8 - 
      220*T1^5*T2^8 - 103*T1^6*T2^8 - 96*T1^7*T2^8 + 192*T1^8*T2^8 - 
      96*T1^9*T2^8 - 103*T1^10*T2^8 - 220*T1^11*T2^8 - 42*T1^12*T2^8 - 
      378*T1^13*T2^8 - 544*T1^14*T2^8 + 294*T1^15*T2^8 + 25*T1^16*T2^8 - 
      99*T1*T2^9 - 192*T1^2*T2^9 + 822*T1^3*T2^9 - 38*T1^4*T2^9 + 
      314*T1^5*T2^9 + 56*T1^6*T2^9 + 173*T1^7*T2^9 - 96*T1^8*T2^9 - 
      96*T1^9*T2^9 + 173*T1^10*T2^9 + 56*T1^11*T2^9 + 314*T1^12*T2^9 - 
      38*T1^13*T2^9 + 822*T1^14*T2^9 - 192*T1^15*T2^9 - 99*T1^16*T2^9 + 
      147*T1^2*T2^10 + 48*T1^3*T2^10 - 742*T1^4*T2^10 + 62*T1^5*T2^10 - 
      412*T1^6*T2^10 + 56*T1^7*T2^10 - 103*T1^8*T2^10 + 173*T1^9*T2^10 - 
      103*T1^10*T2^10 + 56*T1^11*T2^10 - 412*T1^12*T2^10 + 62*T1^13*T2^10 - 
      742*T1^14*T2^10 + 48*T1^15*T2^10 + 147*T1^16*T2^10 - 159*T1^3*T2^11 + 
      674*T1^5*T2^11 + 62*T1^6*T2^11 + 314*T1^7*T2^11 - 220*T1^8*T2^11 + 
      56*T1^9*T2^11 + 56*T1^10*T2^11 - 220*T1^11*T2^11 + 314*T1^12*T2^11 + 
      62*T1^13*T2^11 + 674*T1^14*T2^11 - 159*T1^16*T2^11 + 159*T1^4*T2^12 - 
      742*T1^6*T2^12 - 38*T1^7*T2^12 - 42*T1^8*T2^12 + 314*T1^9*T2^12 - 
      412*T1^10*T2^12 + 314*T1^11*T2^12 - 42*T1^12*T2^12 - 38*T1^13*T2^12 - 
      742*T1^14*T2^12 + 159*T1^16*T2^12 - 159*T1^5*T2^13 + 48*T1^6*T2^13 + 
      822*T1^7*T2^13 - 378*T1^8*T2^13 - 38*T1^9*T2^13 + 62*T1^10*T2^13 + 
      62*T1^11*T2^13 - 38*T1^12*T2^13 - 378*T1^13*T2^13 + 822*T1^14*T2^13 + 
      48*T1^15*T2^13 - 159*T1^16*T2^13 + 147*T1^6*T2^14 - 192*T1^7*T2^14 - 
      544*T1^8*T2^14 + 822*T1^9*T2^14 - 742*T1^10*T2^14 + 674*T1^11*T2^14 - 
      742*T1^12*T2^14 + 822*T1^13*T2^14 - 544*T1^14*T2^14 - 192*T1^15*T2^14 + 
      147*T1^16*T2^14 - 99*T1^7*T2^15 + 294*T1^8*T2^15 - 192*T1^9*T2^15 + 
      48*T1^10*T2^15 + 48*T1^13*T2^15 - 192*T1^14*T2^15 + 294*T1^15*T2^15 - 
      99*T1^16*T2^15 + 25*T1^8*T2^16 - 99*T1^9*T2^16 + 147*T1^10*T2^16 - 
      159*T1^11*T2^16 + 159*T1^12*T2^16 - 159*T1^13*T2^16 + 147*T1^14*T2^16 - 
      99*T1^15*T2^16 + 25*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 539] -> 
  {-((4 - 18*T + 32*T^2 - 37*T^3 + 32*T^4 - 18*T^5 + 4*T^6)/T^3), 
   -((144 - 636*T1 + 1108*T1^2 - 1272*T1^3 + 1108*T1^4 - 636*T1^5 + 
      144*T1^6 - 636*T2 + 2182*T1*T2 - 2108*T1^2*T2 + 736*T1^3*T2 + 
      736*T1^4*T2 - 2108*T1^5*T2 + 2182*T1^6*T2 - 636*T1^7*T2 + 1108*T2^2 - 
      2108*T1*T2^2 - 2777*T1^2*T2^2 + 7229*T1^3*T2^2 - 8233*T1^4*T2^2 + 
      7229*T1^5*T2^2 - 2777*T1^6*T2^2 - 2108*T1^7*T2^2 + 1108*T1^8*T2^2 - 
      1272*T2^3 + 736*T1*T2^3 + 7229*T1^2*T2^3 - 7220*T1^3*T2^3 + 
      2084*T1^4*T2^3 + 2084*T1^5*T2^3 - 7220*T1^6*T2^3 + 7229*T1^7*T2^3 + 
      736*T1^8*T2^3 - 1272*T1^9*T2^3 + 1108*T2^4 + 736*T1*T2^4 - 
      8233*T1^2*T2^4 + 2084*T1^3*T2^4 + 3256*T1^4*T2^4 - 3156*T1^5*T2^4 + 
      3256*T1^6*T2^4 + 2084*T1^7*T2^4 - 8233*T1^8*T2^4 + 736*T1^9*T2^4 + 
      1108*T1^10*T2^4 - 636*T2^5 - 2108*T1*T2^5 + 7229*T1^2*T2^5 + 
      2084*T1^3*T2^5 - 3156*T1^4*T2^5 + 76*T1^5*T2^5 + 76*T1^6*T2^5 - 
      3156*T1^7*T2^5 + 2084*T1^8*T2^5 + 7229*T1^9*T2^5 - 2108*T1^10*T2^5 - 
      636*T1^11*T2^5 + 144*T2^6 + 2182*T1*T2^6 - 2777*T1^2*T2^6 - 
      7220*T1^3*T2^6 + 3256*T1^4*T2^6 + 76*T1^5*T2^6 + 1044*T1^6*T2^6 + 
      76*T1^7*T2^6 + 3256*T1^8*T2^6 - 7220*T1^9*T2^6 - 2777*T1^10*T2^6 + 
      2182*T1^11*T2^6 + 144*T1^12*T2^6 - 636*T1*T2^7 - 2108*T1^2*T2^7 + 
      7229*T1^3*T2^7 + 2084*T1^4*T2^7 - 3156*T1^5*T2^7 + 76*T1^6*T2^7 + 
      76*T1^7*T2^7 - 3156*T1^8*T2^7 + 2084*T1^9*T2^7 + 7229*T1^10*T2^7 - 
      2108*T1^11*T2^7 - 636*T1^12*T2^7 + 1108*T1^2*T2^8 + 736*T1^3*T2^8 - 
      8233*T1^4*T2^8 + 2084*T1^5*T2^8 + 3256*T1^6*T2^8 - 3156*T1^7*T2^8 + 
      3256*T1^8*T2^8 + 2084*T1^9*T2^8 - 8233*T1^10*T2^8 + 736*T1^11*T2^8 + 
      1108*T1^12*T2^8 - 1272*T1^3*T2^9 + 736*T1^4*T2^9 + 7229*T1^5*T2^9 - 
      7220*T1^6*T2^9 + 2084*T1^7*T2^9 + 2084*T1^8*T2^9 - 7220*T1^9*T2^9 + 
      7229*T1^10*T2^9 + 736*T1^11*T2^9 - 1272*T1^12*T2^9 + 1108*T1^4*T2^10 - 
      2108*T1^5*T2^10 - 2777*T1^6*T2^10 + 7229*T1^7*T2^10 - 8233*T1^8*T2^10 + 
      7229*T1^9*T2^10 - 2777*T1^10*T2^10 - 2108*T1^11*T2^10 + 
      1108*T1^12*T2^10 - 636*T1^5*T2^11 + 2182*T1^6*T2^11 - 2108*T1^7*T2^11 + 
      736*T1^8*T2^11 + 736*T1^9*T2^11 - 2108*T1^10*T2^11 + 2182*T1^11*T2^11 - 
      636*T1^12*T2^11 + 144*T1^6*T2^12 - 636*T1^7*T2^12 + 1108*T1^8*T2^12 - 
      1272*T1^9*T2^12 + 1108*T1^10*T2^12 - 636*T1^11*T2^12 + 144*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, Alternating, 540] -> 
  {-(((4 - 7*T + 4*T^2)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^3), 
   -((144 - 672*T1 + 1288*T1^2 - 1560*T1^3 + 1288*T1^4 - 672*T1^5 + 
      144*T1^6 - 672*T2 + 2472*T1*T2 - 2896*T1^2*T2 + 1280*T1^3*T2 + 
      1280*T1^4*T2 - 2896*T1^5*T2 + 2472*T1^6*T2 - 672*T1^7*T2 + 1288*T2^2 - 
      2896*T1*T2^2 - 1837*T1^2*T2^2 + 8395*T1^3*T2^2 - 11415*T1^4*T2^2 + 
      8395*T1^5*T2^2 - 1837*T1^6*T2^2 - 2896*T1^7*T2^2 + 1288*T1^8*T2^2 - 
      1560*T2^3 + 1280*T1*T2^3 + 8395*T1^2*T2^3 - 11570*T1^3*T2^3 + 
      5384*T1^4*T2^3 + 5384*T1^5*T2^3 - 11570*T1^6*T2^3 + 8395*T1^7*T2^3 + 
      1280*T1^8*T2^3 - 1560*T1^9*T2^3 + 1288*T2^4 + 1280*T1*T2^4 - 
      11415*T1^2*T2^4 + 5384*T1^3*T2^4 + 5687*T1^4*T2^4 - 11447*T1^5*T2^4 + 
      5687*T1^6*T2^4 + 5384*T1^7*T2^4 - 11415*T1^8*T2^4 + 1280*T1^9*T2^4 + 
      1288*T1^10*T2^4 - 672*T2^5 - 2896*T1*T2^5 + 8395*T1^2*T2^5 + 
      5384*T1^3*T2^5 - 11447*T1^4*T2^5 + 6108*T1^5*T2^5 + 6108*T1^6*T2^5 - 
      11447*T1^7*T2^5 + 5384*T1^8*T2^5 + 8395*T1^9*T2^5 - 2896*T1^10*T2^5 - 
      672*T1^11*T2^5 + 144*T2^6 + 2472*T1*T2^6 - 1837*T1^2*T2^6 - 
      11570*T1^3*T2^6 + 5687*T1^4*T2^6 + 6108*T1^5*T2^6 - 12840*T1^6*T2^6 + 
      6108*T1^7*T2^6 + 5687*T1^8*T2^6 - 11570*T1^9*T2^6 - 1837*T1^10*T2^6 + 
      2472*T1^11*T2^6 + 144*T1^12*T2^6 - 672*T1*T2^7 - 2896*T1^2*T2^7 + 
      8395*T1^3*T2^7 + 5384*T1^4*T2^7 - 11447*T1^5*T2^7 + 6108*T1^6*T2^7 + 
      6108*T1^7*T2^7 - 11447*T1^8*T2^7 + 5384*T1^9*T2^7 + 8395*T1^10*T2^7 - 
      2896*T1^11*T2^7 - 672*T1^12*T2^7 + 1288*T1^2*T2^8 + 1280*T1^3*T2^8 - 
      11415*T1^4*T2^8 + 5384*T1^5*T2^8 + 5687*T1^6*T2^8 - 11447*T1^7*T2^8 + 
      5687*T1^8*T2^8 + 5384*T1^9*T2^8 - 11415*T1^10*T2^8 + 1280*T1^11*T2^8 + 
      1288*T1^12*T2^8 - 1560*T1^3*T2^9 + 1280*T1^4*T2^9 + 8395*T1^5*T2^9 - 
      11570*T1^6*T2^9 + 5384*T1^7*T2^9 + 5384*T1^8*T2^9 - 11570*T1^9*T2^9 + 
      8395*T1^10*T2^9 + 1280*T1^11*T2^9 - 1560*T1^12*T2^9 + 1288*T1^4*T2^10 - 
      2896*T1^5*T2^10 - 1837*T1^6*T2^10 + 8395*T1^7*T2^10 - 
      11415*T1^8*T2^10 + 8395*T1^9*T2^10 - 1837*T1^10*T2^10 - 
      2896*T1^11*T2^10 + 1288*T1^12*T2^10 - 672*T1^5*T2^11 + 
      2472*T1^6*T2^11 - 2896*T1^7*T2^11 + 1280*T1^8*T2^11 + 1280*T1^9*T2^11 - 
      2896*T1^10*T2^11 + 2472*T1^11*T2^11 - 672*T1^12*T2^11 + 
      144*T1^6*T2^12 - 672*T1^7*T2^12 + 1288*T1^8*T2^12 - 1560*T1^9*T2^12 + 
      1288*T1^10*T2^12 - 672*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   (2 - 14*T1 + 38*T1^2 - 62*T1^3 + 74*T1^4 - 62*T1^5 + 38*T1^6 - 14*T1^7 + 
     2*T1^8 - 14*T2 + 84*T1*T2 - 168*T1^2*T2 + 168*T1^3*T2 - 84*T1^4*T2 - 
     84*T1^5*T2 + 168*T1^6*T2 - 168*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
     38*T2^2 - 168*T1*T2^2 + 80*T1^2*T2^2 + 398*T1^3*T2^2 - 880*T1^4*T2^2 + 
     1232*T1^5*T2^2 - 880*T1^6*T2^2 + 398*T1^7*T2^2 + 80*T1^8*T2^2 - 
     168*T1^9*T2^2 + 38*T1^10*T2^2 - 62*T2^3 + 168*T1*T2^3 + 398*T1^2*T2^3 - 
     1306*T1^3*T2^3 + 1342*T1^4*T2^3 - 836*T1^5*T2^3 - 836*T1^6*T2^3 + 
     1342*T1^7*T2^3 - 1306*T1^8*T2^3 + 398*T1^9*T2^3 + 168*T1^10*T2^3 - 
     62*T1^11*T2^3 + 74*T2^4 - 84*T1*T2^4 - 880*T1^2*T2^4 + 1342*T1^3*T2^4 + 
     85*T1^4*T2^4 - 1331*T1^5*T2^4 + 3021*T1^6*T2^4 - 1331*T1^7*T2^4 + 
     85*T1^8*T2^4 + 1342*T1^9*T2^4 - 880*T1^10*T2^4 - 84*T1^11*T2^4 + 
     74*T1^12*T2^4 - 62*T2^5 - 84*T1*T2^5 + 1232*T1^2*T2^5 - 836*T1^3*T2^5 - 
     1331*T1^4*T2^5 + 1520*T1^5*T2^5 - 1758*T1^6*T2^5 - 1758*T1^7*T2^5 + 
     1520*T1^8*T2^5 - 1331*T1^9*T2^5 - 836*T1^10*T2^5 + 1232*T1^11*T2^5 - 
     84*T1^12*T2^5 - 62*T1^13*T2^5 + 38*T2^6 + 168*T1*T2^6 - 880*T1^2*T2^6 - 
     836*T1^3*T2^6 + 3021*T1^4*T2^6 - 1758*T1^5*T2^6 + 1376*T1^6*T2^6 + 
     1668*T1^7*T2^6 + 1376*T1^8*T2^6 - 1758*T1^9*T2^6 + 3021*T1^10*T2^6 - 
     836*T1^11*T2^6 - 880*T1^12*T2^6 + 168*T1^13*T2^6 + 38*T1^14*T2^6 - 
     14*T2^7 - 168*T1*T2^7 + 398*T1^2*T2^7 + 1342*T1^3*T2^7 - 
     1331*T1^4*T2^7 - 1758*T1^5*T2^7 + 1668*T1^6*T2^7 - 2588*T1^7*T2^7 - 
     2588*T1^8*T2^7 + 1668*T1^9*T2^7 - 1758*T1^10*T2^7 - 1331*T1^11*T2^7 + 
     1342*T1^12*T2^7 + 398*T1^13*T2^7 - 168*T1^14*T2^7 - 14*T1^15*T2^7 + 
     2*T2^8 + 84*T1*T2^8 + 80*T1^2*T2^8 - 1306*T1^3*T2^8 + 85*T1^4*T2^8 + 
     1520*T1^5*T2^8 + 1376*T1^6*T2^8 - 2588*T1^7*T2^8 + 6756*T1^8*T2^8 - 
     2588*T1^9*T2^8 + 1376*T1^10*T2^8 + 1520*T1^11*T2^8 + 85*T1^12*T2^8 - 
     1306*T1^13*T2^8 + 80*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 
     14*T1*T2^9 - 168*T1^2*T2^9 + 398*T1^3*T2^9 + 1342*T1^4*T2^9 - 
     1331*T1^5*T2^9 - 1758*T1^6*T2^9 + 1668*T1^7*T2^9 - 2588*T1^8*T2^9 - 
     2588*T1^9*T2^9 + 1668*T1^10*T2^9 - 1758*T1^11*T2^9 - 1331*T1^12*T2^9 + 
     1342*T1^13*T2^9 + 398*T1^14*T2^9 - 168*T1^15*T2^9 - 14*T1^16*T2^9 + 
     38*T1^2*T2^10 + 168*T1^3*T2^10 - 880*T1^4*T2^10 - 836*T1^5*T2^10 + 
     3021*T1^6*T2^10 - 1758*T1^7*T2^10 + 1376*T1^8*T2^10 + 1668*T1^9*T2^10 + 
     1376*T1^10*T2^10 - 1758*T1^11*T2^10 + 3021*T1^12*T2^10 - 
     836*T1^13*T2^10 - 880*T1^14*T2^10 + 168*T1^15*T2^10 + 38*T1^16*T2^10 - 
     62*T1^3*T2^11 - 84*T1^4*T2^11 + 1232*T1^5*T2^11 - 836*T1^6*T2^11 - 
     1331*T1^7*T2^11 + 1520*T1^8*T2^11 - 1758*T1^9*T2^11 - 1758*T1^10*T2^11 + 
     1520*T1^11*T2^11 - 1331*T1^12*T2^11 - 836*T1^13*T2^11 + 
     1232*T1^14*T2^11 - 84*T1^15*T2^11 - 62*T1^16*T2^11 + 74*T1^4*T2^12 - 
     84*T1^5*T2^12 - 880*T1^6*T2^12 + 1342*T1^7*T2^12 + 85*T1^8*T2^12 - 
     1331*T1^9*T2^12 + 3021*T1^10*T2^12 - 1331*T1^11*T2^12 + 85*T1^12*T2^12 + 
     1342*T1^13*T2^12 - 880*T1^14*T2^12 - 84*T1^15*T2^12 + 74*T1^16*T2^12 - 
     62*T1^5*T2^13 + 168*T1^6*T2^13 + 398*T1^7*T2^13 - 1306*T1^8*T2^13 + 
     1342*T1^9*T2^13 - 836*T1^10*T2^13 - 836*T1^11*T2^13 + 1342*T1^12*T2^13 - 
     1306*T1^13*T2^13 + 398*T1^14*T2^13 + 168*T1^15*T2^13 - 62*T1^16*T2^13 + 
     38*T1^6*T2^14 - 168*T1^7*T2^14 + 80*T1^8*T2^14 + 398*T1^9*T2^14 - 
     880*T1^10*T2^14 + 1232*T1^11*T2^14 - 880*T1^12*T2^14 + 398*T1^13*T2^14 + 
     80*T1^14*T2^14 - 168*T1^15*T2^14 + 38*T1^16*T2^14 - 14*T1^7*T2^15 + 
     84*T1^8*T2^15 - 168*T1^9*T2^15 + 168*T1^10*T2^15 - 84*T1^11*T2^15 - 
     84*T1^12*T2^15 + 168*T1^13*T2^15 - 168*T1^14*T2^15 + 84*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)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 542] -> {-((7 - 31*T + 47*T^2 - 31*T^3 + 7*T^4)/T^2), 
   -((504 - 2188*T1 + 3278*T1^2 - 2188*T1^3 + 504*T1^4 - 2188*T2 + 
      7326*T1*T2 - 4752*T1^2*T2 - 4752*T1^3*T2 + 7326*T1^4*T2 - 
      2188*T1^5*T2 + 3278*T2^2 - 4752*T1*T2^2 - 16491*T1^2*T2^2 + 
      33165*T1^3*T2^2 - 16491*T1^4*T2^2 - 4752*T1^5*T2^2 + 3278*T1^6*T2^2 - 
      2188*T2^3 - 4752*T1*T2^3 + 33165*T1^2*T2^3 - 23454*T1^3*T2^3 - 
      23454*T1^4*T2^3 + 33165*T1^5*T2^3 - 4752*T1^6*T2^3 - 2188*T1^7*T2^3 + 
      504*T2^4 + 7326*T1*T2^4 - 16491*T1^2*T2^4 - 23454*T1^3*T2^4 + 
      57312*T1^4*T2^4 - 23454*T1^5*T2^4 - 16491*T1^6*T2^4 + 7326*T1^7*T2^4 + 
      504*T1^8*T2^4 - 2188*T1*T2^5 - 4752*T1^2*T2^5 + 33165*T1^3*T2^5 - 
      23454*T1^4*T2^5 - 23454*T1^5*T2^5 + 33165*T1^6*T2^5 - 4752*T1^7*T2^5 - 
      2188*T1^8*T2^5 + 3278*T1^2*T2^6 - 4752*T1^3*T2^6 - 16491*T1^4*T2^6 + 
      33165*T1^5*T2^6 - 16491*T1^6*T2^6 - 4752*T1^7*T2^6 + 3278*T1^8*T2^6 - 
      2188*T1^3*T2^7 + 7326*T1^4*T2^7 - 4752*T1^5*T2^7 - 4752*T1^6*T2^7 + 
      7326*T1^7*T2^7 - 2188*T1^8*T2^7 + 504*T1^4*T2^8 - 2188*T1^5*T2^8 + 
      3278*T1^6*T2^8 - 2188*T1^7*T2^8 + 504*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, Alternating, 543] -> 
  {(3 - 21*T + 57*T^2 - 77*T^3 + 57*T^4 - 21*T^5 + 3*T^6)/T^3, 
   (30 - 207*T1 + 555*T1^2 - 744*T1^3 + 555*T1^4 - 207*T1^5 + 30*T1^6 - 
     207*T2 + 1224*T1*T2 - 2413*T1^2*T2 + 1315*T1^3*T2 + 1315*T1^4*T2 - 
     2413*T1^5*T2 + 1224*T1^6*T2 - 207*T1^7*T2 + 555*T2^2 - 2413*T1*T2^2 + 
     1064*T1^2*T2^2 + 8598*T1^3*T2^2 - 14658*T1^4*T2^2 + 8598*T1^5*T2^2 + 
     1064*T1^6*T2^2 - 2413*T1^7*T2^2 + 555*T1^8*T2^2 - 744*T2^3 + 
     1315*T1*T2^3 + 8598*T1^2*T2^3 - 26166*T1^3*T2^3 + 15379*T1^4*T2^3 + 
     15379*T1^5*T2^3 - 26166*T1^6*T2^3 + 8598*T1^7*T2^3 + 1315*T1^8*T2^3 - 
     744*T1^9*T2^3 + 555*T2^4 + 1315*T1*T2^4 - 14658*T1^2*T2^4 + 
     15379*T1^3*T2^4 + 36329*T1^4*T2^4 - 70599*T1^5*T2^4 + 36329*T1^6*T2^4 + 
     15379*T1^7*T2^4 - 14658*T1^8*T2^4 + 1315*T1^9*T2^4 + 555*T1^10*T2^4 - 
     207*T2^5 - 2413*T1*T2^5 + 8598*T1^2*T2^5 + 15379*T1^3*T2^5 - 
     70599*T1^4*T2^5 + 43532*T1^5*T2^5 + 43532*T1^6*T2^5 - 70599*T1^7*T2^5 + 
     15379*T1^8*T2^5 + 8598*T1^9*T2^5 - 2413*T1^10*T2^5 - 207*T1^11*T2^5 + 
     30*T2^6 + 1224*T1*T2^6 + 1064*T1^2*T2^6 - 26166*T1^3*T2^6 + 
     36329*T1^4*T2^6 + 43532*T1^5*T2^6 - 98796*T1^6*T2^6 + 43532*T1^7*T2^6 + 
     36329*T1^8*T2^6 - 26166*T1^9*T2^6 + 1064*T1^10*T2^6 + 1224*T1^11*T2^6 + 
     30*T1^12*T2^6 - 207*T1*T2^7 - 2413*T1^2*T2^7 + 8598*T1^3*T2^7 + 
     15379*T1^4*T2^7 - 70599*T1^5*T2^7 + 43532*T1^6*T2^7 + 43532*T1^7*T2^7 - 
     70599*T1^8*T2^7 + 15379*T1^9*T2^7 + 8598*T1^10*T2^7 - 2413*T1^11*T2^7 - 
     207*T1^12*T2^7 + 555*T1^2*T2^8 + 1315*T1^3*T2^8 - 14658*T1^4*T2^8 + 
     15379*T1^5*T2^8 + 36329*T1^6*T2^8 - 70599*T1^7*T2^8 + 36329*T1^8*T2^8 + 
     15379*T1^9*T2^8 - 14658*T1^10*T2^8 + 1315*T1^11*T2^8 + 555*T1^12*T2^8 - 
     744*T1^3*T2^9 + 1315*T1^4*T2^9 + 8598*T1^5*T2^9 - 26166*T1^6*T2^9 + 
     15379*T1^7*T2^9 + 15379*T1^8*T2^9 - 26166*T1^9*T2^9 + 8598*T1^10*T2^9 + 
     1315*T1^11*T2^9 - 744*T1^12*T2^9 + 555*T1^4*T2^10 - 2413*T1^5*T2^10 + 
     1064*T1^6*T2^10 + 8598*T1^7*T2^10 - 14658*T1^8*T2^10 + 8598*T1^9*T2^10 + 
     1064*T1^10*T2^10 - 2413*T1^11*T2^10 + 555*T1^12*T2^10 - 207*T1^5*T2^11 + 
     1224*T1^6*T2^11 - 2413*T1^7*T2^11 + 1315*T1^8*T2^11 + 1315*T1^9*T2^11 - 
     2413*T1^10*T2^11 + 1224*T1^11*T2^11 - 207*T1^12*T2^11 + 30*T1^6*T2^12 - 
     207*T1^7*T2^12 + 555*T1^8*T2^12 - 744*T1^9*T2^12 + 555*T1^10*T2^12 - 
     207*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 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, (1 - 3*T1 + 6*T1^2 - 9*T1^3 + 11*T1^4 - 9*T1^5 + 6*T1^6 - 3*T1^7 + 
     T1^8 - 3*T2 + 6*T1*T2 - 9*T1^2*T2 + 9*T1^3*T2 - 6*T1^4*T2 - 6*T1^5*T2 + 
     9*T1^6*T2 - 9*T1^7*T2 + 6*T1^8*T2 - 3*T1^9*T2 + 6*T2^2 - 9*T1*T2^2 + 
     22*T1^2*T2^2 - 47*T1^3*T2^2 + 87*T1^4*T2^2 - 94*T1^5*T2^2 + 
     87*T1^6*T2^2 - 47*T1^7*T2^2 + 22*T1^8*T2^2 - 9*T1^9*T2^2 + 
     6*T1^10*T2^2 - 9*T2^3 + 9*T1*T2^3 - 47*T1^2*T2^3 + 108*T1^3*T2^3 - 
     165*T1^4*T2^3 + 64*T1^5*T2^3 + 64*T1^6*T2^3 - 165*T1^7*T2^3 + 
     108*T1^8*T2^3 - 47*T1^9*T2^3 + 9*T1^10*T2^3 - 9*T1^11*T2^3 + 11*T2^4 - 
     6*T1*T2^4 + 87*T1^2*T2^4 - 165*T1^3*T2^4 + 189*T1^4*T2^4 + 
     62*T1^5*T2^4 - 131*T1^6*T2^4 + 62*T1^7*T2^4 + 189*T1^8*T2^4 - 
     165*T1^9*T2^4 + 87*T1^10*T2^4 - 6*T1^11*T2^4 + 11*T1^12*T2^4 - 9*T2^5 - 
     6*T1*T2^5 - 94*T1^2*T2^5 + 64*T1^3*T2^5 + 62*T1^4*T2^5 - 410*T1^5*T2^5 + 
     138*T1^6*T2^5 + 138*T1^7*T2^5 - 410*T1^8*T2^5 + 62*T1^9*T2^5 + 
     64*T1^10*T2^5 - 94*T1^11*T2^5 - 6*T1^12*T2^5 - 9*T1^13*T2^5 + 6*T2^6 + 
     9*T1*T2^6 + 87*T1^2*T2^6 + 64*T1^3*T2^6 - 131*T1^4*T2^6 + 
     138*T1^5*T2^6 + 682*T1^6*T2^6 - 798*T1^7*T2^6 + 682*T1^8*T2^6 + 
     138*T1^9*T2^6 - 131*T1^10*T2^6 + 64*T1^11*T2^6 + 87*T1^12*T2^6 + 
     9*T1^13*T2^6 + 6*T1^14*T2^6 - 3*T2^7 - 9*T1*T2^7 - 47*T1^2*T2^7 - 
     165*T1^3*T2^7 + 62*T1^4*T2^7 + 138*T1^5*T2^7 - 798*T1^6*T2^7 + 
     178*T1^7*T2^7 + 178*T1^8*T2^7 - 798*T1^9*T2^7 + 138*T1^10*T2^7 + 
     62*T1^11*T2^7 - 165*T1^12*T2^7 - 47*T1^13*T2^7 - 9*T1^14*T2^7 - 
     3*T1^15*T2^7 + T2^8 + 6*T1*T2^8 + 22*T1^2*T2^8 + 108*T1^3*T2^8 + 
     189*T1^4*T2^8 - 410*T1^5*T2^8 + 682*T1^6*T2^8 + 178*T1^7*T2^8 - 
     108*T1^8*T2^8 + 178*T1^9*T2^8 + 682*T1^10*T2^8 - 410*T1^11*T2^8 + 
     189*T1^12*T2^8 + 108*T1^13*T2^8 + 22*T1^14*T2^8 + 6*T1^15*T2^8 + 
     T1^16*T2^8 - 3*T1*T2^9 - 9*T1^2*T2^9 - 47*T1^3*T2^9 - 165*T1^4*T2^9 + 
     62*T1^5*T2^9 + 138*T1^6*T2^9 - 798*T1^7*T2^9 + 178*T1^8*T2^9 + 
     178*T1^9*T2^9 - 798*T1^10*T2^9 + 138*T1^11*T2^9 + 62*T1^12*T2^9 - 
     165*T1^13*T2^9 - 47*T1^14*T2^9 - 9*T1^15*T2^9 - 3*T1^16*T2^9 + 
     6*T1^2*T2^10 + 9*T1^3*T2^10 + 87*T1^4*T2^10 + 64*T1^5*T2^10 - 
     131*T1^6*T2^10 + 138*T1^7*T2^10 + 682*T1^8*T2^10 - 798*T1^9*T2^10 + 
     682*T1^10*T2^10 + 138*T1^11*T2^10 - 131*T1^12*T2^10 + 64*T1^13*T2^10 + 
     87*T1^14*T2^10 + 9*T1^15*T2^10 + 6*T1^16*T2^10 - 9*T1^3*T2^11 - 
     6*T1^4*T2^11 - 94*T1^5*T2^11 + 64*T1^6*T2^11 + 62*T1^7*T2^11 - 
     410*T1^8*T2^11 + 138*T1^9*T2^11 + 138*T1^10*T2^11 - 410*T1^11*T2^11 + 
     62*T1^12*T2^11 + 64*T1^13*T2^11 - 94*T1^14*T2^11 - 6*T1^15*T2^11 - 
     9*T1^16*T2^11 + 11*T1^4*T2^12 - 6*T1^5*T2^12 + 87*T1^6*T2^12 - 
     165*T1^7*T2^12 + 189*T1^8*T2^12 + 62*T1^9*T2^12 - 131*T1^10*T2^12 + 
     62*T1^11*T2^12 + 189*T1^12*T2^12 - 165*T1^13*T2^12 + 87*T1^14*T2^12 - 
     6*T1^15*T2^12 + 11*T1^16*T2^12 - 9*T1^5*T2^13 + 9*T1^6*T2^13 - 
     47*T1^7*T2^13 + 108*T1^8*T2^13 - 165*T1^9*T2^13 + 64*T1^10*T2^13 + 
     64*T1^11*T2^13 - 165*T1^12*T2^13 + 108*T1^13*T2^13 - 47*T1^14*T2^13 + 
     9*T1^15*T2^13 - 9*T1^16*T2^13 + 6*T1^6*T2^14 - 9*T1^7*T2^14 + 
     22*T1^8*T2^14 - 47*T1^9*T2^14 + 87*T1^10*T2^14 - 94*T1^11*T2^14 + 
     87*T1^12*T2^14 - 47*T1^13*T2^14 + 22*T1^14*T2^14 - 9*T1^15*T2^14 + 
     6*T1^16*T2^14 - 3*T1^7*T2^15 + 6*T1^8*T2^15 - 9*T1^9*T2^15 + 
     9*T1^10*T2^15 - 6*T1^11*T2^15 - 6*T1^12*T2^15 + 9*T1^13*T2^15 - 
     9*T1^14*T2^15 + 6*T1^15*T2^15 - 3*T1^16*T2^15 + T1^8*T2^16 - 
     3*T1^9*T2^16 + 6*T1^10*T2^16 - 9*T1^11*T2^16 + 11*T1^12*T2^16 - 
     9*T1^13*T2^16 + 6*T1^14*T2^16 - 3*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, 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*(32 - 124*T1 + 240*T1^2 - 288*T1^3 + 240*T1^4 - 124*T1^5 + 32*T1^6 - 
      124*T2 + 360*T1*T2 - 458*T1^2*T2 + 192*T1^3*T2 + 192*T1^4*T2 - 
      458*T1^5*T2 + 360*T1^6*T2 - 124*T1^7*T2 + 240*T2^2 - 458*T1*T2^2 + 
      152*T1^2*T2^2 + 652*T1^3*T2^2 - 952*T1^4*T2^2 + 652*T1^5*T2^2 + 
      152*T1^6*T2^2 - 458*T1^7*T2^2 + 240*T1^8*T2^2 - 288*T2^3 + 
      192*T1*T2^3 + 652*T1^2*T2^3 - 1413*T1^3*T2^3 + 600*T1^4*T2^3 + 
      600*T1^5*T2^3 - 1413*T1^6*T2^3 + 652*T1^7*T2^3 + 192*T1^8*T2^3 - 
      288*T1^9*T2^3 + 240*T2^4 + 192*T1*T2^4 - 952*T1^2*T2^4 + 
      600*T1^3*T2^4 + 1475*T1^4*T2^4 - 2244*T1^5*T2^4 + 1475*T1^6*T2^4 + 
      600*T1^7*T2^4 - 952*T1^8*T2^4 + 192*T1^9*T2^4 + 240*T1^10*T2^4 - 
      124*T2^5 - 458*T1*T2^5 + 652*T1^2*T2^5 + 600*T1^3*T2^5 - 
      2244*T1^4*T2^5 + 1003*T1^5*T2^5 + 1003*T1^6*T2^5 - 2244*T1^7*T2^5 + 
      600*T1^8*T2^5 + 652*T1^9*T2^5 - 458*T1^10*T2^5 - 124*T1^11*T2^5 + 
      32*T2^6 + 360*T1*T2^6 + 152*T1^2*T2^6 - 1413*T1^3*T2^6 + 
      1475*T1^4*T2^6 + 1003*T1^5*T2^6 - 1974*T1^6*T2^6 + 1003*T1^7*T2^6 + 
      1475*T1^8*T2^6 - 1413*T1^9*T2^6 + 152*T1^10*T2^6 + 360*T1^11*T2^6 + 
      32*T1^12*T2^6 - 124*T1*T2^7 - 458*T1^2*T2^7 + 652*T1^3*T2^7 + 
      600*T1^4*T2^7 - 2244*T1^5*T2^7 + 1003*T1^6*T2^7 + 1003*T1^7*T2^7 - 
      2244*T1^8*T2^7 + 600*T1^9*T2^7 + 652*T1^10*T2^7 - 458*T1^11*T2^7 - 
      124*T1^12*T2^7 + 240*T1^2*T2^8 + 192*T1^3*T2^8 - 952*T1^4*T2^8 + 
      600*T1^5*T2^8 + 1475*T1^6*T2^8 - 2244*T1^7*T2^8 + 1475*T1^8*T2^8 + 
      600*T1^9*T2^8 - 952*T1^10*T2^8 + 192*T1^11*T2^8 + 240*T1^12*T2^8 - 
      288*T1^3*T2^9 + 192*T1^4*T2^9 + 652*T1^5*T2^9 - 1413*T1^6*T2^9 + 
      600*T1^7*T2^9 + 600*T1^8*T2^9 - 1413*T1^9*T2^9 + 652*T1^10*T2^9 + 
      192*T1^11*T2^9 - 288*T1^12*T2^9 + 240*T1^4*T2^10 - 458*T1^5*T2^10 + 
      152*T1^6*T2^10 + 652*T1^7*T2^10 - 952*T1^8*T2^10 + 652*T1^9*T2^10 + 
      152*T1^10*T2^10 - 458*T1^11*T2^10 + 240*T1^12*T2^10 - 124*T1^5*T2^11 + 
      360*T1^6*T2^11 - 458*T1^7*T2^11 + 192*T1^8*T2^11 + 192*T1^9*T2^11 - 
      458*T1^10*T2^11 + 360*T1^11*T2^11 - 124*T1^12*T2^11 + 32*T1^6*T2^12 - 
      124*T1^7*T2^12 + 240*T1^8*T2^12 - 288*T1^9*T2^12 + 240*T1^10*T2^12 - 
      124*T1^11*T2^12 + 32*T1^12*T2^12))/(T1^6*T2^6)}, 
 Knot[12, Alternating, 546] -> 
  {(3 - 21*T + 55*T^2 - 73*T^3 + 55*T^4 - 21*T^5 + 3*T^6)/T^3, 
   (30 - 207*T1 + 531*T1^2 - 696*T1^3 + 531*T1^4 - 207*T1^5 + 30*T1^6 - 
     207*T2 + 1228*T1*T2 - 2265*T1^2*T2 + 1163*T1^3*T2 + 1163*T1^4*T2 - 
     2265*T1^5*T2 + 1228*T1^6*T2 - 207*T1^7*T2 + 531*T2^2 - 2265*T1*T2^2 + 
     230*T1^2*T2^2 + 9120*T1^3*T2^2 - 14296*T1^4*T2^2 + 9120*T1^5*T2^2 + 
     230*T1^6*T2^2 - 2265*T1^7*T2^2 + 531*T1^8*T2^2 - 696*T2^3 + 
     1163*T1*T2^3 + 9120*T1^2*T2^3 - 24168*T1^3*T2^3 + 13031*T1^4*T2^3 + 
     13031*T1^5*T2^3 - 24168*T1^6*T2^3 + 9120*T1^7*T2^3 + 1163*T1^8*T2^3 - 
     696*T1^9*T2^3 + 531*T2^4 + 1163*T1*T2^4 - 14296*T1^2*T2^4 + 
     13031*T1^3*T2^4 + 31686*T1^4*T2^4 - 57524*T1^5*T2^4 + 31686*T1^6*T2^4 + 
     13031*T1^7*T2^4 - 14296*T1^8*T2^4 + 1163*T1^9*T2^4 + 531*T1^10*T2^4 - 
     207*T2^5 - 2265*T1*T2^5 + 9120*T1^2*T2^5 + 13031*T1^3*T2^5 - 
     57524*T1^4*T2^5 + 32700*T1^5*T2^5 + 32700*T1^6*T2^5 - 57524*T1^7*T2^5 + 
     13031*T1^8*T2^5 + 9120*T1^9*T2^5 - 2265*T1^10*T2^5 - 207*T1^11*T2^5 + 
     30*T2^6 + 1228*T1*T2^6 + 230*T1^2*T2^6 - 24168*T1^3*T2^6 + 
     31686*T1^4*T2^6 + 32700*T1^5*T2^6 - 71616*T1^6*T2^6 + 32700*T1^7*T2^6 + 
     31686*T1^8*T2^6 - 24168*T1^9*T2^6 + 230*T1^10*T2^6 + 1228*T1^11*T2^6 + 
     30*T1^12*T2^6 - 207*T1*T2^7 - 2265*T1^2*T2^7 + 9120*T1^3*T2^7 + 
     13031*T1^4*T2^7 - 57524*T1^5*T2^7 + 32700*T1^6*T2^7 + 32700*T1^7*T2^7 - 
     57524*T1^8*T2^7 + 13031*T1^9*T2^7 + 9120*T1^10*T2^7 - 2265*T1^11*T2^7 - 
     207*T1^12*T2^7 + 531*T1^2*T2^8 + 1163*T1^3*T2^8 - 14296*T1^4*T2^8 + 
     13031*T1^5*T2^8 + 31686*T1^6*T2^8 - 57524*T1^7*T2^8 + 31686*T1^8*T2^8 + 
     13031*T1^9*T2^8 - 14296*T1^10*T2^8 + 1163*T1^11*T2^8 + 531*T1^12*T2^8 - 
     696*T1^3*T2^9 + 1163*T1^4*T2^9 + 9120*T1^5*T2^9 - 24168*T1^6*T2^9 + 
     13031*T1^7*T2^9 + 13031*T1^8*T2^9 - 24168*T1^9*T2^9 + 9120*T1^10*T2^9 + 
     1163*T1^11*T2^9 - 696*T1^12*T2^9 + 531*T1^4*T2^10 - 2265*T1^5*T2^10 + 
     230*T1^6*T2^10 + 9120*T1^7*T2^10 - 14296*T1^8*T2^10 + 9120*T1^9*T2^10 + 
     230*T1^10*T2^10 - 2265*T1^11*T2^10 + 531*T1^12*T2^10 - 207*T1^5*T2^11 + 
     1228*T1^6*T2^11 - 2265*T1^7*T2^11 + 1163*T1^8*T2^11 + 1163*T1^9*T2^11 - 
     2265*T1^10*T2^11 + 1228*T1^11*T2^11 - 207*T1^12*T2^11 + 30*T1^6*T2^12 - 
     207*T1^7*T2^12 + 531*T1^8*T2^12 - 696*T1^9*T2^12 + 531*T1^10*T2^12 - 
     207*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 547] -> 
  {-((5 - 25*T + 53*T^2 - 67*T^3 + 53*T^4 - 25*T^5 + 5*T^6)/T^3), 
   -((270 - 1320*T1 + 2747*T1^2 - 3456*T1^3 + 2747*T1^4 - 1320*T1^5 + 
      270*T1^6 - 1320*T2 + 5156*T1*T2 - 7043*T1^2*T2 + 3505*T1^3*T2 + 
      3505*T1^4*T2 - 7043*T1^5*T2 + 5156*T1^6*T2 - 1320*T1^7*T2 + 2747*T2^2 - 
      7043*T1*T2^2 - 829*T1^2*T2^2 + 17691*T1^3*T2^2 - 27733*T1^4*T2^2 + 
      17691*T1^5*T2^2 - 829*T1^6*T2^2 - 7043*T1^7*T2^2 + 2747*T1^8*T2^2 - 
      3456*T2^3 + 3505*T1*T2^3 + 17691*T1^2*T2^3 - 32656*T1^3*T2^3 + 
      18436*T1^4*T2^3 + 18436*T1^5*T2^3 - 32656*T1^6*T2^3 + 17691*T1^7*T2^3 + 
      3505*T1^8*T2^3 - 3456*T1^9*T2^3 + 2747*T2^4 + 3505*T1*T2^4 - 
      27733*T1^2*T2^4 + 18436*T1^3*T2^4 + 21362*T1^4*T2^4 - 50086*T1^5*T2^4 + 
      21362*T1^6*T2^4 + 18436*T1^7*T2^4 - 27733*T1^8*T2^4 + 3505*T1^9*T2^4 + 
      2747*T1^10*T2^4 - 1320*T2^5 - 7043*T1*T2^5 + 17691*T1^2*T2^5 + 
      18436*T1^3*T2^5 - 50086*T1^4*T2^5 + 32018*T1^5*T2^5 + 32018*T1^6*T2^5 - 
      50086*T1^7*T2^5 + 18436*T1^8*T2^5 + 17691*T1^9*T2^5 - 7043*T1^10*T2^5 - 
      1320*T1^11*T2^5 + 270*T2^6 + 5156*T1*T2^6 - 829*T1^2*T2^6 - 
      32656*T1^3*T2^6 + 21362*T1^4*T2^6 + 32018*T1^5*T2^6 - 72468*T1^6*T2^6 + 
      32018*T1^7*T2^6 + 21362*T1^8*T2^6 - 32656*T1^9*T2^6 - 829*T1^10*T2^6 + 
      5156*T1^11*T2^6 + 270*T1^12*T2^6 - 1320*T1*T2^7 - 7043*T1^2*T2^7 + 
      17691*T1^3*T2^7 + 18436*T1^4*T2^7 - 50086*T1^5*T2^7 + 32018*T1^6*T2^7 + 
      32018*T1^7*T2^7 - 50086*T1^8*T2^7 + 18436*T1^9*T2^7 + 
      17691*T1^10*T2^7 - 7043*T1^11*T2^7 - 1320*T1^12*T2^7 + 2747*T1^2*T2^8 + 
      3505*T1^3*T2^8 - 27733*T1^4*T2^8 + 18436*T1^5*T2^8 + 21362*T1^6*T2^8 - 
      50086*T1^7*T2^8 + 21362*T1^8*T2^8 + 18436*T1^9*T2^8 - 
      27733*T1^10*T2^8 + 3505*T1^11*T2^8 + 2747*T1^12*T2^8 - 3456*T1^3*T2^9 + 
      3505*T1^4*T2^9 + 17691*T1^5*T2^9 - 32656*T1^6*T2^9 + 18436*T1^7*T2^9 + 
      18436*T1^8*T2^9 - 32656*T1^9*T2^9 + 17691*T1^10*T2^9 + 
      3505*T1^11*T2^9 - 3456*T1^12*T2^9 + 2747*T1^4*T2^10 - 7043*T1^5*T2^10 - 
      829*T1^6*T2^10 + 17691*T1^7*T2^10 - 27733*T1^8*T2^10 + 
      17691*T1^9*T2^10 - 829*T1^10*T2^10 - 7043*T1^11*T2^10 + 
      2747*T1^12*T2^10 - 1320*T1^5*T2^11 + 5156*T1^6*T2^11 - 
      7043*T1^7*T2^11 + 3505*T1^8*T2^11 + 3505*T1^9*T2^11 - 
      7043*T1^10*T2^11 + 5156*T1^11*T2^11 - 1320*T1^12*T2^11 + 
      270*T1^6*T2^12 - 1320*T1^7*T2^12 + 2747*T1^8*T2^12 - 3456*T1^9*T2^12 + 
      2747*T1^10*T2^12 - 1320*T1^11*T2^12 + 270*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 548] -> 
  {-((4 - 14*T + 23*T^2 - 27*T^3 + 23*T^4 - 14*T^5 + 4*T^6)/T^3), 
   -((128 - 436*T1 + 704*T1^2 - 824*T1^3 + 704*T1^4 - 436*T1^5 + 128*T1^6 - 
      436*T2 + 1054*T1*T2 - 922*T1^2*T2 + 410*T1^3*T2 + 410*T1^4*T2 - 
      922*T1^5*T2 + 1054*T1^6*T2 - 436*T1^7*T2 + 704*T2^2 - 922*T1*T2^2 - 
      559*T1^2*T2^2 + 1534*T1^3*T2^2 - 2175*T1^4*T2^2 + 1534*T1^5*T2^2 - 
      559*T1^6*T2^2 - 922*T1^7*T2^2 + 704*T1^8*T2^2 - 824*T2^3 + 
      410*T1*T2^3 + 1534*T1^2*T2^3 - 1238*T1^3*T2^3 + 792*T1^4*T2^3 + 
      792*T1^5*T2^3 - 1238*T1^6*T2^3 + 1534*T1^7*T2^3 + 410*T1^8*T2^3 - 
      824*T1^9*T2^3 + 704*T2^4 + 410*T1*T2^4 - 2175*T1^2*T2^4 + 
      792*T1^3*T2^4 - 471*T1^4*T2^4 - 589*T1^5*T2^4 - 471*T1^6*T2^4 + 
      792*T1^7*T2^4 - 2175*T1^8*T2^4 + 410*T1^9*T2^4 + 704*T1^10*T2^4 - 
      436*T2^5 - 922*T1*T2^5 + 1534*T1^2*T2^5 + 792*T1^3*T2^5 - 
      589*T1^4*T2^5 + 912*T1^5*T2^5 + 912*T1^6*T2^5 - 589*T1^7*T2^5 + 
      792*T1^8*T2^5 + 1534*T1^9*T2^5 - 922*T1^10*T2^5 - 436*T1^11*T2^5 + 
      128*T2^6 + 1054*T1*T2^6 - 559*T1^2*T2^6 - 1238*T1^3*T2^6 - 
      471*T1^4*T2^6 + 912*T1^5*T2^6 - 2412*T1^6*T2^6 + 912*T1^7*T2^6 - 
      471*T1^8*T2^6 - 1238*T1^9*T2^6 - 559*T1^10*T2^6 + 1054*T1^11*T2^6 + 
      128*T1^12*T2^6 - 436*T1*T2^7 - 922*T1^2*T2^7 + 1534*T1^3*T2^7 + 
      792*T1^4*T2^7 - 589*T1^5*T2^7 + 912*T1^6*T2^7 + 912*T1^7*T2^7 - 
      589*T1^8*T2^7 + 792*T1^9*T2^7 + 1534*T1^10*T2^7 - 922*T1^11*T2^7 - 
      436*T1^12*T2^7 + 704*T1^2*T2^8 + 410*T1^3*T2^8 - 2175*T1^4*T2^8 + 
      792*T1^5*T2^8 - 471*T1^6*T2^8 - 589*T1^7*T2^8 - 471*T1^8*T2^8 + 
      792*T1^9*T2^8 - 2175*T1^10*T2^8 + 410*T1^11*T2^8 + 704*T1^12*T2^8 - 
      824*T1^3*T2^9 + 410*T1^4*T2^9 + 1534*T1^5*T2^9 - 1238*T1^6*T2^9 + 
      792*T1^7*T2^9 + 792*T1^8*T2^9 - 1238*T1^9*T2^9 + 1534*T1^10*T2^9 + 
      410*T1^11*T2^9 - 824*T1^12*T2^9 + 704*T1^4*T2^10 - 922*T1^5*T2^10 - 
      559*T1^6*T2^10 + 1534*T1^7*T2^10 - 2175*T1^8*T2^10 + 1534*T1^9*T2^10 - 
      559*T1^10*T2^10 - 922*T1^11*T2^10 + 704*T1^12*T2^10 - 436*T1^5*T2^11 + 
      1054*T1^6*T2^11 - 922*T1^7*T2^11 + 410*T1^8*T2^11 + 410*T1^9*T2^11 - 
      922*T1^10*T2^11 + 1054*T1^11*T2^11 - 436*T1^12*T2^11 + 128*T1^6*T2^12 - 
      436*T1^7*T2^12 + 704*T1^8*T2^12 - 824*T1^9*T2^12 + 704*T1^10*T2^12 - 
      436*T1^11*T2^12 + 128*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 549] -> {-((8 - 28*T + 39*T^2 - 28*T^3 + 8*T^4)/T^2), 
   (-2*(288 - 976*T1 + 1336*T1^2 - 976*T1^3 + 288*T1^4 - 976*T2 + 
      2344*T1*T2 - 1236*T1^2*T2 - 1236*T1^3*T2 + 2344*T1^4*T2 - 976*T1^5*T2 + 
      1336*T2^2 - 1236*T1*T2^2 - 3785*T1^2*T2^2 + 6596*T1^3*T2^2 - 
      3785*T1^4*T2^2 - 1236*T1^5*T2^2 + 1336*T1^6*T2^2 - 976*T2^3 - 
      1236*T1*T2^3 + 6596*T1^2*T2^3 - 3702*T1^3*T2^3 - 3702*T1^4*T2^3 + 
      6596*T1^5*T2^3 - 1236*T1^6*T2^3 - 976*T1^7*T2^3 + 288*T2^4 + 
      2344*T1*T2^4 - 3785*T1^2*T2^4 - 3702*T1^3*T2^4 + 8082*T1^4*T2^4 - 
      3702*T1^5*T2^4 - 3785*T1^6*T2^4 + 2344*T1^7*T2^4 + 288*T1^8*T2^4 - 
      976*T1*T2^5 - 1236*T1^2*T2^5 + 6596*T1^3*T2^5 - 3702*T1^4*T2^5 - 
      3702*T1^5*T2^5 + 6596*T1^6*T2^5 - 1236*T1^7*T2^5 - 976*T1^8*T2^5 + 
      1336*T1^2*T2^6 - 1236*T1^3*T2^6 - 3785*T1^4*T2^6 + 6596*T1^5*T2^6 - 
      3785*T1^6*T2^6 - 1236*T1^7*T2^6 + 1336*T1^8*T2^6 - 976*T1^3*T2^7 + 
      2344*T1^4*T2^7 - 1236*T1^5*T2^7 - 1236*T1^6*T2^7 + 2344*T1^7*T2^7 - 
      976*T1^8*T2^7 + 288*T1^4*T2^8 - 976*T1^5*T2^8 + 1336*T1^6*T2^8 - 
      976*T1^7*T2^8 + 288*T1^8*T2^8))/(T1^4*T2^4)}, 
 Knot[12, Alternating, 550] -> 
  {-((2 - 13*T + 35*T^2 - 49*T^3 + 35*T^4 - 13*T^5 + 2*T^6)/T^3), 
   (1 - 7*T1 + 19*T1^2 - 27*T1^3 + 19*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
     42*T1*T2 - 84*T1^2*T2 + 56*T1^3*T2 + 56*T1^4*T2 - 84*T1^5*T2 + 
     42*T1^6*T2 - 7*T1^7*T2 + 19*T2^2 - 84*T1*T2^2 + 62*T1^2*T2^2 + 
     176*T1^3*T2^2 - 426*T1^4*T2^2 + 176*T1^5*T2^2 + 62*T1^6*T2^2 - 
     84*T1^7*T2^2 + 19*T1^8*T2^2 - 27*T2^3 + 56*T1*T2^3 + 176*T1^2*T2^3 - 
     546*T1^3*T2^3 + 482*T1^4*T2^3 + 482*T1^5*T2^3 - 546*T1^6*T2^3 + 
     176*T1^7*T2^3 + 56*T1^8*T2^3 - 27*T1^9*T2^3 + 19*T2^4 + 56*T1*T2^4 - 
     426*T1^2*T2^4 + 482*T1^3*T2^4 + 270*T1^4*T2^4 - 1494*T1^5*T2^4 + 
     270*T1^6*T2^4 + 482*T1^7*T2^4 - 426*T1^8*T2^4 + 56*T1^9*T2^4 + 
     19*T1^10*T2^4 - 7*T2^5 - 84*T1*T2^5 + 176*T1^2*T2^5 + 482*T1^3*T2^5 - 
     1494*T1^4*T2^5 + 1524*T1^5*T2^5 + 1524*T1^6*T2^5 - 1494*T1^7*T2^5 + 
     482*T1^8*T2^5 + 176*T1^9*T2^5 - 84*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
     42*T1*T2^6 + 62*T1^2*T2^6 - 546*T1^3*T2^6 + 270*T1^4*T2^6 + 
     1524*T1^5*T2^6 - 4140*T1^6*T2^6 + 1524*T1^7*T2^6 + 270*T1^8*T2^6 - 
     546*T1^9*T2^6 + 62*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 7*T1*T2^7 - 
     84*T1^2*T2^7 + 176*T1^3*T2^7 + 482*T1^4*T2^7 - 1494*T1^5*T2^7 + 
     1524*T1^6*T2^7 + 1524*T1^7*T2^7 - 1494*T1^8*T2^7 + 482*T1^9*T2^7 + 
     176*T1^10*T2^7 - 84*T1^11*T2^7 - 7*T1^12*T2^7 + 19*T1^2*T2^8 + 
     56*T1^3*T2^8 - 426*T1^4*T2^8 + 482*T1^5*T2^8 + 270*T1^6*T2^8 - 
     1494*T1^7*T2^8 + 270*T1^8*T2^8 + 482*T1^9*T2^8 - 426*T1^10*T2^8 + 
     56*T1^11*T2^8 + 19*T1^12*T2^8 - 27*T1^3*T2^9 + 56*T1^4*T2^9 + 
     176*T1^5*T2^9 - 546*T1^6*T2^9 + 482*T1^7*T2^9 + 482*T1^8*T2^9 - 
     546*T1^9*T2^9 + 176*T1^10*T2^9 + 56*T1^11*T2^9 - 27*T1^12*T2^9 + 
     19*T1^4*T2^10 - 84*T1^5*T2^10 + 62*T1^6*T2^10 + 176*T1^7*T2^10 - 
     426*T1^8*T2^10 + 176*T1^9*T2^10 + 62*T1^10*T2^10 - 84*T1^11*T2^10 + 
     19*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 84*T1^7*T2^11 + 
     56*T1^8*T2^11 + 56*T1^9*T2^11 - 84*T1^10*T2^11 + 42*T1^11*T2^11 - 
     7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 19*T1^8*T2^12 - 
     27*T1^9*T2^12 + 19*T1^10*T2^12 - 7*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 551] -> 
  {-((6 - 26*T + 39*T^2 - 26*T^3 + 6*T^4)/T^2), 
   -((315 - 1339*T1 + 1983*T1^2 - 1339*T1^3 + 315*T1^4 - 1339*T2 + 
      4364*T1*T2 - 2752*T1^2*T2 - 2752*T1^3*T2 + 4364*T1^4*T2 - 
      1339*T1^5*T2 + 1983*T2^2 - 2752*T1*T2^2 - 9645*T1^2*T2^2 + 
      18913*T1^3*T2^2 - 9645*T1^4*T2^2 - 2752*T1^5*T2^2 + 1983*T1^6*T2^2 - 
      1339*T2^3 - 2752*T1*T2^3 + 18913*T1^2*T2^3 - 12932*T1^3*T2^3 - 
      12932*T1^4*T2^3 + 18913*T1^5*T2^3 - 2752*T1^6*T2^3 - 1339*T1^7*T2^3 + 
      315*T2^4 + 4364*T1*T2^4 - 9645*T1^2*T2^4 - 12932*T1^3*T2^4 + 
      31104*T1^4*T2^4 - 12932*T1^5*T2^4 - 9645*T1^6*T2^4 + 4364*T1^7*T2^4 + 
      315*T1^8*T2^4 - 1339*T1*T2^5 - 2752*T1^2*T2^5 + 18913*T1^3*T2^5 - 
      12932*T1^4*T2^5 - 12932*T1^5*T2^5 + 18913*T1^6*T2^5 - 2752*T1^7*T2^5 - 
      1339*T1^8*T2^5 + 1983*T1^2*T2^6 - 2752*T1^3*T2^6 - 9645*T1^4*T2^6 + 
      18913*T1^5*T2^6 - 9645*T1^6*T2^6 - 2752*T1^7*T2^6 + 1983*T1^8*T2^6 - 
      1339*T1^3*T2^7 + 4364*T1^4*T2^7 - 2752*T1^5*T2^7 - 2752*T1^6*T2^7 + 
      4364*T1^7*T2^7 - 1339*T1^8*T2^7 + 315*T1^4*T2^8 - 1339*T1^5*T2^8 + 
      1983*T1^6*T2^8 - 1339*T1^7*T2^8 + 315*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, Alternating, 552] -> 
  {(2 - 13*T + 31*T^2 - 39*T^3 + 31*T^4 - 13*T^5 + 2*T^6)/T^3, 
   (9 - 59*T1 + 141*T1^2 - 177*T1^3 + 141*T1^4 - 59*T1^5 + 9*T1^6 - 59*T2 + 
     328*T1*T2 - 538*T1^2*T2 + 236*T1^3*T2 + 236*T1^4*T2 - 538*T1^5*T2 + 
     328*T1^6*T2 - 59*T1^7*T2 + 141*T2^2 - 538*T1*T2^2 - 163*T1^2*T2^2 + 
     2295*T1^3*T2^2 - 3109*T1^4*T2^2 + 2295*T1^5*T2^2 - 163*T1^6*T2^2 - 
     538*T1^7*T2^2 + 141*T1^8*T2^2 - 177*T2^3 + 236*T1*T2^3 + 
     2295*T1^2*T2^3 - 5046*T1^3*T2^3 + 2142*T1^4*T2^3 + 2142*T1^5*T2^3 - 
     5046*T1^6*T2^3 + 2295*T1^7*T2^3 + 236*T1^8*T2^3 - 177*T1^9*T2^3 + 
     141*T2^4 + 236*T1*T2^4 - 3109*T1^2*T2^4 + 2142*T1^3*T2^4 + 
     6737*T1^4*T2^4 - 10141*T1^5*T2^4 + 6737*T1^6*T2^4 + 2142*T1^7*T2^4 - 
     3109*T1^8*T2^4 + 236*T1^9*T2^4 + 141*T1^10*T2^4 - 59*T2^5 - 
     538*T1*T2^5 + 2295*T1^2*T2^5 + 2142*T1^3*T2^5 - 10141*T1^4*T2^5 + 
     4788*T1^5*T2^5 + 4788*T1^6*T2^5 - 10141*T1^7*T2^5 + 2142*T1^8*T2^5 + 
     2295*T1^9*T2^5 - 538*T1^10*T2^5 - 59*T1^11*T2^5 + 9*T2^6 + 328*T1*T2^6 - 
     163*T1^2*T2^6 - 5046*T1^3*T2^6 + 6737*T1^4*T2^6 + 4788*T1^5*T2^6 - 
     9960*T1^6*T2^6 + 4788*T1^7*T2^6 + 6737*T1^8*T2^6 - 5046*T1^9*T2^6 - 
     163*T1^10*T2^6 + 328*T1^11*T2^6 + 9*T1^12*T2^6 - 59*T1*T2^7 - 
     538*T1^2*T2^7 + 2295*T1^3*T2^7 + 2142*T1^4*T2^7 - 10141*T1^5*T2^7 + 
     4788*T1^6*T2^7 + 4788*T1^7*T2^7 - 10141*T1^8*T2^7 + 2142*T1^9*T2^7 + 
     2295*T1^10*T2^7 - 538*T1^11*T2^7 - 59*T1^12*T2^7 + 141*T1^2*T2^8 + 
     236*T1^3*T2^8 - 3109*T1^4*T2^8 + 2142*T1^5*T2^8 + 6737*T1^6*T2^8 - 
     10141*T1^7*T2^8 + 6737*T1^8*T2^8 + 2142*T1^9*T2^8 - 3109*T1^10*T2^8 + 
     236*T1^11*T2^8 + 141*T1^12*T2^8 - 177*T1^3*T2^9 + 236*T1^4*T2^9 + 
     2295*T1^5*T2^9 - 5046*T1^6*T2^9 + 2142*T1^7*T2^9 + 2142*T1^8*T2^9 - 
     5046*T1^9*T2^9 + 2295*T1^10*T2^9 + 236*T1^11*T2^9 - 177*T1^12*T2^9 + 
     141*T1^4*T2^10 - 538*T1^5*T2^10 - 163*T1^6*T2^10 + 2295*T1^7*T2^10 - 
     3109*T1^8*T2^10 + 2295*T1^9*T2^10 - 163*T1^10*T2^10 - 538*T1^11*T2^10 + 
     141*T1^12*T2^10 - 59*T1^5*T2^11 + 328*T1^6*T2^11 - 538*T1^7*T2^11 + 
     236*T1^8*T2^11 + 236*T1^9*T2^11 - 538*T1^10*T2^11 + 328*T1^11*T2^11 - 
     59*T1^12*T2^11 + 9*T1^6*T2^12 - 59*T1^7*T2^12 + 141*T1^8*T2^12 - 
     177*T1^9*T2^12 + 141*T1^10*T2^12 - 59*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, 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, (17 - 84*T1 + 217*T1^2 - 340*T1^3 + 389*T1^4 - 340*T1^5 + 217*T1^6 - 
     84*T1^7 + 17*T1^8 - 84*T2 + 332*T1*T2 - 660*T1^2*T2 + 612*T1^3*T2 - 
     244*T1^4*T2 - 244*T1^5*T2 + 612*T1^6*T2 - 660*T1^7*T2 + 332*T1^8*T2 - 
     84*T1^9*T2 + 217*T2^2 - 660*T1*T2^2 + 919*T1^2*T2^2 - 27*T1^3*T2^2 - 
     775*T1^4*T2^2 + 1083*T1^5*T2^2 - 775*T1^6*T2^2 - 27*T1^7*T2^2 + 
     919*T1^8*T2^2 - 660*T1^9*T2^2 + 217*T1^10*T2^2 - 340*T2^3 + 
     612*T1*T2^3 - 27*T1^2*T2^3 - 2184*T1^3*T2^3 + 2079*T1^4*T2^3 - 
     824*T1^5*T2^3 - 824*T1^6*T2^3 + 2079*T1^7*T2^3 - 2184*T1^8*T2^3 - 
     27*T1^9*T2^3 + 612*T1^10*T2^3 - 340*T1^11*T2^3 + 389*T2^4 - 
     244*T1*T2^4 - 775*T1^2*T2^4 + 2079*T1^3*T2^4 + 2199*T1^4*T2^4 - 
     5300*T1^5*T2^4 + 6467*T1^6*T2^4 - 5300*T1^7*T2^4 + 2199*T1^8*T2^4 + 
     2079*T1^9*T2^4 - 775*T1^10*T2^4 - 244*T1^11*T2^4 + 389*T1^12*T2^4 - 
     340*T2^5 - 244*T1*T2^5 + 1083*T1^2*T2^5 - 824*T1^3*T2^5 - 
     5300*T1^4*T2^5 + 4602*T1^5*T2^5 - 1828*T1^6*T2^5 - 1828*T1^7*T2^5 + 
     4602*T1^8*T2^5 - 5300*T1^9*T2^5 - 824*T1^10*T2^5 + 1083*T1^11*T2^5 - 
     244*T1^12*T2^5 - 340*T1^13*T2^5 + 217*T2^6 + 612*T1*T2^6 - 
     775*T1^2*T2^6 - 824*T1^3*T2^6 + 6467*T1^4*T2^6 - 1828*T1^5*T2^6 - 
     306*T1^6*T2^6 + 1280*T1^7*T2^6 - 306*T1^8*T2^6 - 1828*T1^9*T2^6 + 
     6467*T1^10*T2^6 - 824*T1^11*T2^6 - 775*T1^12*T2^6 + 612*T1^13*T2^6 + 
     217*T1^14*T2^6 - 84*T2^7 - 660*T1*T2^7 - 27*T1^2*T2^7 + 2079*T1^3*T2^7 - 
     5300*T1^4*T2^7 - 1828*T1^5*T2^7 + 1280*T1^6*T2^7 - 696*T1^7*T2^7 - 
     696*T1^8*T2^7 + 1280*T1^9*T2^7 - 1828*T1^10*T2^7 - 5300*T1^11*T2^7 + 
     2079*T1^12*T2^7 - 27*T1^13*T2^7 - 660*T1^14*T2^7 - 84*T1^15*T2^7 + 
     17*T2^8 + 332*T1*T2^8 + 919*T1^2*T2^8 - 2184*T1^3*T2^8 + 
     2199*T1^4*T2^8 + 4602*T1^5*T2^8 - 306*T1^6*T2^8 - 696*T1^7*T2^8 + 
     1476*T1^8*T2^8 - 696*T1^9*T2^8 - 306*T1^10*T2^8 + 4602*T1^11*T2^8 + 
     2199*T1^12*T2^8 - 2184*T1^13*T2^8 + 919*T1^14*T2^8 + 332*T1^15*T2^8 + 
     17*T1^16*T2^8 - 84*T1*T2^9 - 660*T1^2*T2^9 - 27*T1^3*T2^9 + 
     2079*T1^4*T2^9 - 5300*T1^5*T2^9 - 1828*T1^6*T2^9 + 1280*T1^7*T2^9 - 
     696*T1^8*T2^9 - 696*T1^9*T2^9 + 1280*T1^10*T2^9 - 1828*T1^11*T2^9 - 
     5300*T1^12*T2^9 + 2079*T1^13*T2^9 - 27*T1^14*T2^9 - 660*T1^15*T2^9 - 
     84*T1^16*T2^9 + 217*T1^2*T2^10 + 612*T1^3*T2^10 - 775*T1^4*T2^10 - 
     824*T1^5*T2^10 + 6467*T1^6*T2^10 - 1828*T1^7*T2^10 - 306*T1^8*T2^10 + 
     1280*T1^9*T2^10 - 306*T1^10*T2^10 - 1828*T1^11*T2^10 + 
     6467*T1^12*T2^10 - 824*T1^13*T2^10 - 775*T1^14*T2^10 + 612*T1^15*T2^10 + 
     217*T1^16*T2^10 - 340*T1^3*T2^11 - 244*T1^4*T2^11 + 1083*T1^5*T2^11 - 
     824*T1^6*T2^11 - 5300*T1^7*T2^11 + 4602*T1^8*T2^11 - 1828*T1^9*T2^11 - 
     1828*T1^10*T2^11 + 4602*T1^11*T2^11 - 5300*T1^12*T2^11 - 
     824*T1^13*T2^11 + 1083*T1^14*T2^11 - 244*T1^15*T2^11 - 340*T1^16*T2^11 + 
     389*T1^4*T2^12 - 244*T1^5*T2^12 - 775*T1^6*T2^12 + 2079*T1^7*T2^12 + 
     2199*T1^8*T2^12 - 5300*T1^9*T2^12 + 6467*T1^10*T2^12 - 
     5300*T1^11*T2^12 + 2199*T1^12*T2^12 + 2079*T1^13*T2^12 - 
     775*T1^14*T2^12 - 244*T1^15*T2^12 + 389*T1^16*T2^12 - 340*T1^5*T2^13 + 
     612*T1^6*T2^13 - 27*T1^7*T2^13 - 2184*T1^8*T2^13 + 2079*T1^9*T2^13 - 
     824*T1^10*T2^13 - 824*T1^11*T2^13 + 2079*T1^12*T2^13 - 
     2184*T1^13*T2^13 - 27*T1^14*T2^13 + 612*T1^15*T2^13 - 340*T1^16*T2^13 + 
     217*T1^6*T2^14 - 660*T1^7*T2^14 + 919*T1^8*T2^14 - 27*T1^9*T2^14 - 
     775*T1^10*T2^14 + 1083*T1^11*T2^14 - 775*T1^12*T2^14 - 27*T1^13*T2^14 + 
     919*T1^14*T2^14 - 660*T1^15*T2^14 + 217*T1^16*T2^14 - 84*T1^7*T2^15 + 
     332*T1^8*T2^15 - 660*T1^9*T2^15 + 612*T1^10*T2^15 - 244*T1^11*T2^15 - 
     244*T1^12*T2^15 + 612*T1^13*T2^15 - 660*T1^14*T2^15 + 332*T1^15*T2^15 - 
     84*T1^16*T2^15 + 17*T1^8*T2^16 - 84*T1^9*T2^16 + 217*T1^10*T2^16 - 
     340*T1^11*T2^16 + 389*T1^12*T2^16 - 340*T1^13*T2^16 + 217*T1^14*T2^16 - 
     84*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 554] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^3), 
   -((1 - 7*T1 + 19*T1^2 - 27*T1^3 + 19*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 84*T1^2*T2 + 56*T1^3*T2 + 56*T1^4*T2 - 84*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 19*T2^2 - 84*T1*T2^2 + 53*T1^2*T2^2 + 
      181*T1^3*T2^2 - 409*T1^4*T2^2 + 181*T1^5*T2^2 + 53*T1^6*T2^2 - 
      84*T1^7*T2^2 + 19*T1^8*T2^2 - 27*T2^3 + 56*T1*T2^3 + 181*T1^2*T2^3 - 
      382*T1^3*T2^3 + 252*T1^4*T2^3 + 252*T1^5*T2^3 - 382*T1^6*T2^3 + 
      181*T1^7*T2^3 + 56*T1^8*T2^3 - 27*T1^9*T2^3 + 19*T2^4 + 56*T1*T2^4 - 
      409*T1^2*T2^4 + 252*T1^3*T2^4 - 509*T1^4*T2^4 + 1069*T1^5*T2^4 - 
      509*T1^6*T2^4 + 252*T1^7*T2^4 - 409*T1^8*T2^4 + 56*T1^9*T2^4 + 
      19*T1^10*T2^4 - 7*T2^5 - 84*T1*T2^5 + 181*T1^2*T2^5 + 252*T1^3*T2^5 + 
      1069*T1^4*T2^5 - 1498*T1^5*T2^5 - 1498*T1^6*T2^5 + 1069*T1^7*T2^5 + 
      252*T1^8*T2^5 + 181*T1^9*T2^5 - 84*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 + 53*T1^2*T2^6 - 382*T1^3*T2^6 - 509*T1^4*T2^6 - 
      1498*T1^5*T2^6 + 4956*T1^6*T2^6 - 1498*T1^7*T2^6 - 509*T1^8*T2^6 - 
      382*T1^9*T2^6 + 53*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 84*T1^2*T2^7 + 181*T1^3*T2^7 + 252*T1^4*T2^7 + 
      1069*T1^5*T2^7 - 1498*T1^6*T2^7 - 1498*T1^7*T2^7 + 1069*T1^8*T2^7 + 
      252*T1^9*T2^7 + 181*T1^10*T2^7 - 84*T1^11*T2^7 - 7*T1^12*T2^7 + 
      19*T1^2*T2^8 + 56*T1^3*T2^8 - 409*T1^4*T2^8 + 252*T1^5*T2^8 - 
      509*T1^6*T2^8 + 1069*T1^7*T2^8 - 509*T1^8*T2^8 + 252*T1^9*T2^8 - 
      409*T1^10*T2^8 + 56*T1^11*T2^8 + 19*T1^12*T2^8 - 27*T1^3*T2^9 + 
      56*T1^4*T2^9 + 181*T1^5*T2^9 - 382*T1^6*T2^9 + 252*T1^7*T2^9 + 
      252*T1^8*T2^9 - 382*T1^9*T2^9 + 181*T1^10*T2^9 + 56*T1^11*T2^9 - 
      27*T1^12*T2^9 + 19*T1^4*T2^10 - 84*T1^5*T2^10 + 53*T1^6*T2^10 + 
      181*T1^7*T2^10 - 409*T1^8*T2^10 + 181*T1^9*T2^10 + 53*T1^10*T2^10 - 
      84*T1^11*T2^10 + 19*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      84*T1^7*T2^11 + 56*T1^8*T2^11 + 56*T1^9*T2^11 - 84*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      19*T1^8*T2^12 - 27*T1^9*T2^12 + 19*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 555] -> 
  {-((3 - 18*T + 45*T^2 - 61*T^3 + 45*T^4 - 18*T^5 + 3*T^6)/T^3), 
   -((3 - 21*T1 + 57*T1^2 - 81*T1^3 + 57*T1^4 - 21*T1^5 + 3*T1^6 - 21*T2 + 
      126*T1*T2 - 251*T1^2*T2 + 165*T1^3*T2 + 165*T1^4*T2 - 251*T1^5*T2 + 
      126*T1^6*T2 - 21*T1^7*T2 + 57*T2^2 - 251*T1*T2^2 + 114*T1^2*T2^2 + 
      833*T1^3*T2^2 - 1728*T1^4*T2^2 + 833*T1^5*T2^2 + 114*T1^6*T2^2 - 
      251*T1^7*T2^2 + 57*T1^8*T2^2 - 81*T2^3 + 165*T1*T2^3 + 833*T1^2*T2^3 - 
      2600*T1^3*T2^3 + 2075*T1^4*T2^3 + 2075*T1^5*T2^3 - 2600*T1^6*T2^3 + 
      833*T1^7*T2^3 + 165*T1^8*T2^3 - 81*T1^9*T2^3 + 57*T2^4 + 165*T1*T2^4 - 
      1728*T1^2*T2^4 + 2075*T1^3*T2^4 + 2487*T1^4*T2^4 - 7957*T1^5*T2^4 + 
      2487*T1^6*T2^4 + 2075*T1^7*T2^4 - 1728*T1^8*T2^4 + 165*T1^9*T2^4 + 
      57*T1^10*T2^4 - 21*T2^5 - 251*T1*T2^5 + 833*T1^2*T2^5 + 
      2075*T1^3*T2^5 - 7957*T1^4*T2^5 + 6840*T1^5*T2^5 + 6840*T1^6*T2^5 - 
      7957*T1^7*T2^5 + 2075*T1^8*T2^5 + 833*T1^9*T2^5 - 251*T1^10*T2^5 - 
      21*T1^11*T2^5 + 3*T2^6 + 126*T1*T2^6 + 114*T1^2*T2^6 - 2600*T1^3*T2^6 + 
      2487*T1^4*T2^6 + 6840*T1^5*T2^6 - 17520*T1^6*T2^6 + 6840*T1^7*T2^6 + 
      2487*T1^8*T2^6 - 2600*T1^9*T2^6 + 114*T1^10*T2^6 + 126*T1^11*T2^6 + 
      3*T1^12*T2^6 - 21*T1*T2^7 - 251*T1^2*T2^7 + 833*T1^3*T2^7 + 
      2075*T1^4*T2^7 - 7957*T1^5*T2^7 + 6840*T1^6*T2^7 + 6840*T1^7*T2^7 - 
      7957*T1^8*T2^7 + 2075*T1^9*T2^7 + 833*T1^10*T2^7 - 251*T1^11*T2^7 - 
      21*T1^12*T2^7 + 57*T1^2*T2^8 + 165*T1^3*T2^8 - 1728*T1^4*T2^8 + 
      2075*T1^5*T2^8 + 2487*T1^6*T2^8 - 7957*T1^7*T2^8 + 2487*T1^8*T2^8 + 
      2075*T1^9*T2^8 - 1728*T1^10*T2^8 + 165*T1^11*T2^8 + 57*T1^12*T2^8 - 
      81*T1^3*T2^9 + 165*T1^4*T2^9 + 833*T1^5*T2^9 - 2600*T1^6*T2^9 + 
      2075*T1^7*T2^9 + 2075*T1^8*T2^9 - 2600*T1^9*T2^9 + 833*T1^10*T2^9 + 
      165*T1^11*T2^9 - 81*T1^12*T2^9 + 57*T1^4*T2^10 - 251*T1^5*T2^10 + 
      114*T1^6*T2^10 + 833*T1^7*T2^10 - 1728*T1^8*T2^10 + 833*T1^9*T2^10 + 
      114*T1^10*T2^10 - 251*T1^11*T2^10 + 57*T1^12*T2^10 - 21*T1^5*T2^11 + 
      126*T1^6*T2^11 - 251*T1^7*T2^11 + 165*T1^8*T2^11 + 165*T1^9*T2^11 - 
      251*T1^10*T2^11 + 126*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)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 556] -> 
  {-((4 - 17*T + 32*T^2 - 39*T^3 + 32*T^4 - 17*T^5 + 4*T^6)/T^3), 
   -((144 - 604*T1 + 1124*T1^2 - 1368*T1^3 + 1124*T1^4 - 604*T1^5 + 
      144*T1^6 - 604*T2 + 1934*T1*T2 - 2191*T1^2*T2 + 1027*T1^3*T2 + 
      1027*T1^4*T2 - 2191*T1^5*T2 + 1934*T1^6*T2 - 604*T1^7*T2 + 1124*T2^2 - 
      2191*T1*T2^2 - 784*T1^2*T2^2 + 4678*T1^3*T2^2 - 6920*T1^4*T2^2 + 
      4678*T1^5*T2^2 - 784*T1^6*T2^2 - 2191*T1^7*T2^2 + 1124*T1^8*T2^2 - 
      1368*T2^3 + 1027*T1*T2^3 + 4678*T1^2*T2^3 - 6304*T1^3*T2^3 + 
      3498*T1^4*T2^3 + 3498*T1^5*T2^3 - 6304*T1^6*T2^3 + 4678*T1^7*T2^3 + 
      1027*T1^8*T2^3 - 1368*T1^9*T2^3 + 1124*T2^4 + 1027*T1*T2^4 - 
      6920*T1^2*T2^4 + 3498*T1^3*T2^4 + 1801*T1^4*T2^4 - 6433*T1^5*T2^4 + 
      1801*T1^6*T2^4 + 3498*T1^7*T2^4 - 6920*T1^8*T2^4 + 1027*T1^9*T2^4 + 
      1124*T1^10*T2^4 - 604*T2^5 - 2191*T1*T2^5 + 4678*T1^2*T2^5 + 
      3498*T1^3*T2^5 - 6433*T1^4*T2^5 + 4720*T1^5*T2^5 + 4720*T1^6*T2^5 - 
      6433*T1^7*T2^5 + 3498*T1^8*T2^5 + 4678*T1^9*T2^5 - 2191*T1^10*T2^5 - 
      604*T1^11*T2^5 + 144*T2^6 + 1934*T1*T2^6 - 784*T1^2*T2^6 - 
      6304*T1^3*T2^6 + 1801*T1^4*T2^6 + 4720*T1^5*T2^6 - 11124*T1^6*T2^6 + 
      4720*T1^7*T2^6 + 1801*T1^8*T2^6 - 6304*T1^9*T2^6 - 784*T1^10*T2^6 + 
      1934*T1^11*T2^6 + 144*T1^12*T2^6 - 604*T1*T2^7 - 2191*T1^2*T2^7 + 
      4678*T1^3*T2^7 + 3498*T1^4*T2^7 - 6433*T1^5*T2^7 + 4720*T1^6*T2^7 + 
      4720*T1^7*T2^7 - 6433*T1^8*T2^7 + 3498*T1^9*T2^7 + 4678*T1^10*T2^7 - 
      2191*T1^11*T2^7 - 604*T1^12*T2^7 + 1124*T1^2*T2^8 + 1027*T1^3*T2^8 - 
      6920*T1^4*T2^8 + 3498*T1^5*T2^8 + 1801*T1^6*T2^8 - 6433*T1^7*T2^8 + 
      1801*T1^8*T2^8 + 3498*T1^9*T2^8 - 6920*T1^10*T2^8 + 1027*T1^11*T2^8 + 
      1124*T1^12*T2^8 - 1368*T1^3*T2^9 + 1027*T1^4*T2^9 + 4678*T1^5*T2^9 - 
      6304*T1^6*T2^9 + 3498*T1^7*T2^9 + 3498*T1^8*T2^9 - 6304*T1^9*T2^9 + 
      4678*T1^10*T2^9 + 1027*T1^11*T2^9 - 1368*T1^12*T2^9 + 1124*T1^4*T2^10 - 
      2191*T1^5*T2^10 - 784*T1^6*T2^10 + 4678*T1^7*T2^10 - 6920*T1^8*T2^10 + 
      4678*T1^9*T2^10 - 784*T1^10*T2^10 - 2191*T1^11*T2^10 + 
      1124*T1^12*T2^10 - 604*T1^5*T2^11 + 1934*T1^6*T2^11 - 2191*T1^7*T2^11 + 
      1027*T1^8*T2^11 + 1027*T1^9*T2^11 - 2191*T1^10*T2^11 + 
      1934*T1^11*T2^11 - 604*T1^12*T2^11 + 144*T1^6*T2^12 - 604*T1^7*T2^12 + 
      1124*T1^8*T2^12 - 1368*T1^9*T2^12 + 1124*T1^10*T2^12 - 
      604*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 557] -> {-((7 - 27*T + 39*T^2 - 27*T^3 + 7*T^4)/T^2), 
   -((504 - 1926*T1 + 2754*T1^2 - 1926*T1^3 + 504*T1^4 - 1926*T2 + 
      5450*T1*T2 - 3182*T1^2*T2 - 3182*T1^3*T2 + 5450*T1^4*T2 - 
      1926*T1^5*T2 + 2754*T2^2 - 3182*T1*T2^2 - 10429*T1^2*T2^2 + 
      19477*T1^3*T2^2 - 10429*T1^4*T2^2 - 3182*T1^5*T2^2 + 2754*T1^6*T2^2 - 
      1926*T2^3 - 3182*T1*T2^3 + 19477*T1^2*T2^3 - 12250*T1^3*T2^3 - 
      12250*T1^4*T2^3 + 19477*T1^5*T2^3 - 3182*T1^6*T2^3 - 1926*T1^7*T2^3 + 
      504*T2^4 + 5450*T1*T2^4 - 10429*T1^2*T2^4 - 12250*T1^3*T2^4 + 
      28260*T1^4*T2^4 - 12250*T1^5*T2^4 - 10429*T1^6*T2^4 + 5450*T1^7*T2^4 + 
      504*T1^8*T2^4 - 1926*T1*T2^5 - 3182*T1^2*T2^5 + 19477*T1^3*T2^5 - 
      12250*T1^4*T2^5 - 12250*T1^5*T2^5 + 19477*T1^6*T2^5 - 3182*T1^7*T2^5 - 
      1926*T1^8*T2^5 + 2754*T1^2*T2^6 - 3182*T1^3*T2^6 - 10429*T1^4*T2^6 + 
      19477*T1^5*T2^6 - 10429*T1^6*T2^6 - 3182*T1^7*T2^6 + 2754*T1^8*T2^6 - 
      1926*T1^3*T2^7 + 5450*T1^4*T2^7 - 3182*T1^5*T2^7 - 3182*T1^6*T2^7 + 
      5450*T1^7*T2^7 - 1926*T1^8*T2^7 + 504*T1^4*T2^8 - 1926*T1^5*T2^8 + 
      2754*T1^6*T2^8 - 1926*T1^7*T2^8 + 504*T1^8*T2^8)/(T1^4*T2^4))}, 
 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, (17 - 92*T1 + 239*T1^2 - 383*T1^3 + 447*T1^4 - 383*T1^5 + 239*T1^6 - 
     92*T1^7 + 17*T1^8 - 92*T2 + 408*T1*T2 - 803*T1^2*T2 + 790*T1^3*T2 - 
     351*T1^4*T2 - 351*T1^5*T2 + 790*T1^6*T2 - 803*T1^7*T2 + 408*T1^8*T2 - 
     92*T1^9*T2 + 239*T2^2 - 803*T1*T2^2 + 909*T1^2*T2^2 + 391*T1^3*T2^2 - 
     1778*T1^4*T2^2 + 2585*T1^5*T2^2 - 1778*T1^6*T2^2 + 391*T1^7*T2^2 + 
     909*T1^8*T2^2 - 803*T1^9*T2^2 + 239*T1^10*T2^2 - 383*T2^3 + 
     790*T1*T2^3 + 391*T1^2*T2^3 - 3298*T1^3*T2^3 + 3543*T1^4*T2^3 - 
     1878*T1^5*T2^3 - 1878*T1^6*T2^3 + 3543*T1^7*T2^3 - 3298*T1^8*T2^3 + 
     391*T1^9*T2^3 + 790*T1^10*T2^3 - 383*T1^11*T2^3 + 447*T2^4 - 
     351*T1*T2^4 - 1778*T1^2*T2^4 + 3543*T1^3*T2^4 + 1257*T1^4*T2^4 - 
     5719*T1^5*T2^4 + 9207*T1^6*T2^4 - 5719*T1^7*T2^4 + 1257*T1^8*T2^4 + 
     3543*T1^9*T2^4 - 1778*T1^10*T2^4 - 351*T1^11*T2^4 + 447*T1^12*T2^4 - 
     383*T2^5 - 351*T1*T2^5 + 2585*T1^2*T2^5 - 1878*T1^3*T2^5 - 
     5719*T1^4*T2^5 + 6322*T1^5*T2^5 - 4290*T1^6*T2^5 - 4290*T1^7*T2^5 + 
     6322*T1^8*T2^5 - 5719*T1^9*T2^5 - 1878*T1^10*T2^5 + 2585*T1^11*T2^5 - 
     351*T1^12*T2^5 - 383*T1^13*T2^5 + 239*T2^6 + 790*T1*T2^6 - 
     1778*T1^2*T2^6 - 1878*T1^3*T2^6 + 9207*T1^4*T2^6 - 4290*T1^5*T2^6 + 
     803*T1^6*T2^6 + 4995*T1^7*T2^6 + 803*T1^8*T2^6 - 4290*T1^9*T2^6 + 
     9207*T1^10*T2^6 - 1878*T1^11*T2^6 - 1778*T1^12*T2^6 + 790*T1^13*T2^6 + 
     239*T1^14*T2^6 - 92*T2^7 - 803*T1*T2^7 + 391*T1^2*T2^7 + 
     3543*T1^3*T2^7 - 5719*T1^4*T2^7 - 4290*T1^5*T2^7 + 4995*T1^6*T2^7 - 
     5078*T1^7*T2^7 - 5078*T1^8*T2^7 + 4995*T1^9*T2^7 - 4290*T1^10*T2^7 - 
     5719*T1^11*T2^7 + 3543*T1^12*T2^7 + 391*T1^13*T2^7 - 803*T1^14*T2^7 - 
     92*T1^15*T2^7 + 17*T2^8 + 408*T1*T2^8 + 909*T1^2*T2^8 - 3298*T1^3*T2^8 + 
     1257*T1^4*T2^8 + 6322*T1^5*T2^8 + 803*T1^6*T2^8 - 5078*T1^7*T2^8 + 
     12528*T1^8*T2^8 - 5078*T1^9*T2^8 + 803*T1^10*T2^8 + 6322*T1^11*T2^8 + 
     1257*T1^12*T2^8 - 3298*T1^13*T2^8 + 909*T1^14*T2^8 + 408*T1^15*T2^8 + 
     17*T1^16*T2^8 - 92*T1*T2^9 - 803*T1^2*T2^9 + 391*T1^3*T2^9 + 
     3543*T1^4*T2^9 - 5719*T1^5*T2^9 - 4290*T1^6*T2^9 + 4995*T1^7*T2^9 - 
     5078*T1^8*T2^9 - 5078*T1^9*T2^9 + 4995*T1^10*T2^9 - 4290*T1^11*T2^9 - 
     5719*T1^12*T2^9 + 3543*T1^13*T2^9 + 391*T1^14*T2^9 - 803*T1^15*T2^9 - 
     92*T1^16*T2^9 + 239*T1^2*T2^10 + 790*T1^3*T2^10 - 1778*T1^4*T2^10 - 
     1878*T1^5*T2^10 + 9207*T1^6*T2^10 - 4290*T1^7*T2^10 + 803*T1^8*T2^10 + 
     4995*T1^9*T2^10 + 803*T1^10*T2^10 - 4290*T1^11*T2^10 + 
     9207*T1^12*T2^10 - 1878*T1^13*T2^10 - 1778*T1^14*T2^10 + 
     790*T1^15*T2^10 + 239*T1^16*T2^10 - 383*T1^3*T2^11 - 351*T1^4*T2^11 + 
     2585*T1^5*T2^11 - 1878*T1^6*T2^11 - 5719*T1^7*T2^11 + 6322*T1^8*T2^11 - 
     4290*T1^9*T2^11 - 4290*T1^10*T2^11 + 6322*T1^11*T2^11 - 
     5719*T1^12*T2^11 - 1878*T1^13*T2^11 + 2585*T1^14*T2^11 - 
     351*T1^15*T2^11 - 383*T1^16*T2^11 + 447*T1^4*T2^12 - 351*T1^5*T2^12 - 
     1778*T1^6*T2^12 + 3543*T1^7*T2^12 + 1257*T1^8*T2^12 - 5719*T1^9*T2^12 + 
     9207*T1^10*T2^12 - 5719*T1^11*T2^12 + 1257*T1^12*T2^12 + 
     3543*T1^13*T2^12 - 1778*T1^14*T2^12 - 351*T1^15*T2^12 + 
     447*T1^16*T2^12 - 383*T1^5*T2^13 + 790*T1^6*T2^13 + 391*T1^7*T2^13 - 
     3298*T1^8*T2^13 + 3543*T1^9*T2^13 - 1878*T1^10*T2^13 - 
     1878*T1^11*T2^13 + 3543*T1^12*T2^13 - 3298*T1^13*T2^13 + 
     391*T1^14*T2^13 + 790*T1^15*T2^13 - 383*T1^16*T2^13 + 239*T1^6*T2^14 - 
     803*T1^7*T2^14 + 909*T1^8*T2^14 + 391*T1^9*T2^14 - 1778*T1^10*T2^14 + 
     2585*T1^11*T2^14 - 1778*T1^12*T2^14 + 391*T1^13*T2^14 + 
     909*T1^14*T2^14 - 803*T1^15*T2^14 + 239*T1^16*T2^14 - 92*T1^7*T2^15 + 
     408*T1^8*T2^15 - 803*T1^9*T2^15 + 790*T1^10*T2^15 - 351*T1^11*T2^15 - 
     351*T1^12*T2^15 + 790*T1^13*T2^15 - 803*T1^14*T2^15 + 408*T1^15*T2^15 - 
     92*T1^16*T2^15 + 17*T1^8*T2^16 - 92*T1^9*T2^16 + 239*T1^10*T2^16 - 
     383*T1^11*T2^16 + 447*T1^12*T2^16 - 383*T1^13*T2^16 + 239*T1^14*T2^16 - 
     92*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 559] -> 
  {(4 - 21*T + 49*T^2 - 63*T^3 + 49*T^4 - 21*T^5 + 4*T^6)/T^3, 
   (80 - 412*T1 + 944*T1^2 - 1200*T1^3 + 944*T1^4 - 412*T1^5 + 80*T1^6 - 
     412*T2 + 1722*T1*T2 - 2775*T1^2*T2 + 1343*T1^3*T2 + 1343*T1^4*T2 - 
     2775*T1^5*T2 + 1722*T1^6*T2 - 412*T1^7*T2 + 944*T2^2 - 2775*T1*T2^2 + 
     1179*T1^2*T2^2 + 6271*T1^3*T2^2 - 10049*T1^4*T2^2 + 6271*T1^5*T2^2 + 
     1179*T1^6*T2^2 - 2775*T1^7*T2^2 + 944*T1^8*T2^2 - 1200*T2^3 + 
     1343*T1*T2^3 + 6271*T1^2*T2^3 - 16550*T1^3*T2^3 + 8340*T1^4*T2^3 + 
     8340*T1^5*T2^3 - 16550*T1^6*T2^3 + 6271*T1^7*T2^3 + 1343*T1^8*T2^3 - 
     1200*T1^9*T2^3 + 944*T2^4 + 1343*T1*T2^4 - 10049*T1^2*T2^4 + 
     8340*T1^3*T2^4 + 20666*T1^4*T2^4 - 35014*T1^5*T2^4 + 20666*T1^6*T2^4 + 
     8340*T1^7*T2^4 - 10049*T1^8*T2^4 + 1343*T1^9*T2^4 + 944*T1^10*T2^4 - 
     412*T2^5 - 2775*T1*T2^5 + 6271*T1^2*T2^5 + 8340*T1^3*T2^5 - 
     35014*T1^4*T2^5 + 17912*T1^5*T2^5 + 17912*T1^6*T2^5 - 35014*T1^7*T2^5 + 
     8340*T1^8*T2^5 + 6271*T1^9*T2^5 - 2775*T1^10*T2^5 - 412*T1^11*T2^5 + 
     80*T2^6 + 1722*T1*T2^6 + 1179*T1^2*T2^6 - 16550*T1^3*T2^6 + 
     20666*T1^4*T2^6 + 17912*T1^5*T2^6 - 37008*T1^6*T2^6 + 17912*T1^7*T2^6 + 
     20666*T1^8*T2^6 - 16550*T1^9*T2^6 + 1179*T1^10*T2^6 + 1722*T1^11*T2^6 + 
     80*T1^12*T2^6 - 412*T1*T2^7 - 2775*T1^2*T2^7 + 6271*T1^3*T2^7 + 
     8340*T1^4*T2^7 - 35014*T1^5*T2^7 + 17912*T1^6*T2^7 + 17912*T1^7*T2^7 - 
     35014*T1^8*T2^7 + 8340*T1^9*T2^7 + 6271*T1^10*T2^7 - 2775*T1^11*T2^7 - 
     412*T1^12*T2^7 + 944*T1^2*T2^8 + 1343*T1^3*T2^8 - 10049*T1^4*T2^8 + 
     8340*T1^5*T2^8 + 20666*T1^6*T2^8 - 35014*T1^7*T2^8 + 20666*T1^8*T2^8 + 
     8340*T1^9*T2^8 - 10049*T1^10*T2^8 + 1343*T1^11*T2^8 + 944*T1^12*T2^8 - 
     1200*T1^3*T2^9 + 1343*T1^4*T2^9 + 6271*T1^5*T2^9 - 16550*T1^6*T2^9 + 
     8340*T1^7*T2^9 + 8340*T1^8*T2^9 - 16550*T1^9*T2^9 + 6271*T1^10*T2^9 + 
     1343*T1^11*T2^9 - 1200*T1^12*T2^9 + 944*T1^4*T2^10 - 2775*T1^5*T2^10 + 
     1179*T1^6*T2^10 + 6271*T1^7*T2^10 - 10049*T1^8*T2^10 + 6271*T1^9*T2^10 + 
     1179*T1^10*T2^10 - 2775*T1^11*T2^10 + 944*T1^12*T2^10 - 412*T1^5*T2^11 + 
     1722*T1^6*T2^11 - 2775*T1^7*T2^11 + 1343*T1^8*T2^11 + 1343*T1^9*T2^11 - 
     2775*T1^10*T2^11 + 1722*T1^11*T2^11 - 412*T1^12*T2^11 + 80*T1^6*T2^12 - 
     412*T1^7*T2^12 + 944*T1^8*T2^12 - 1200*T1^9*T2^12 + 944*T1^10*T2^12 - 
     412*T1^11*T2^12 + 80*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 560] -> 
  {-((2 - 15*T + 41*T^2 - 57*T^3 + 41*T^4 - 15*T^5 + 2*T^6)/T^3), 
   (1 - 7*T1 + 19*T1^2 - 27*T1^3 + 19*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
     42*T1*T2 - 84*T1^2*T2 + 56*T1^3*T2 + 56*T1^4*T2 - 84*T1^5*T2 + 
     42*T1^6*T2 - 7*T1^7*T2 + 19*T2^2 - 84*T1*T2^2 + 79*T1^2*T2^2 + 
     133*T1^3*T2^2 - 381*T1^4*T2^2 + 133*T1^5*T2^2 + 79*T1^6*T2^2 - 
     84*T1^7*T2^2 + 19*T1^8*T2^2 - 27*T2^3 + 56*T1*T2^3 + 133*T1^2*T2^3 - 
     480*T1^3*T2^3 + 490*T1^4*T2^3 + 490*T1^5*T2^3 - 480*T1^6*T2^3 + 
     133*T1^7*T2^3 + 56*T1^8*T2^3 - 27*T1^9*T2^3 + 19*T2^4 + 56*T1*T2^4 - 
     381*T1^2*T2^4 + 490*T1^3*T2^4 + 9*T1^4*T2^4 - 1321*T1^5*T2^4 + 
     9*T1^6*T2^4 + 490*T1^7*T2^4 - 381*T1^8*T2^4 + 56*T1^9*T2^4 + 
     19*T1^10*T2^4 - 7*T2^5 - 84*T1*T2^5 + 133*T1^2*T2^5 + 490*T1^3*T2^5 - 
     1321*T1^4*T2^5 + 1648*T1^5*T2^5 + 1648*T1^6*T2^5 - 1321*T1^7*T2^5 + 
     490*T1^8*T2^5 + 133*T1^9*T2^5 - 84*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
     42*T1*T2^6 + 79*T1^2*T2^6 - 480*T1^3*T2^6 + 9*T1^4*T2^6 + 
     1648*T1^5*T2^6 - 4704*T1^6*T2^6 + 1648*T1^7*T2^6 + 9*T1^8*T2^6 - 
     480*T1^9*T2^6 + 79*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 7*T1*T2^7 - 
     84*T1^2*T2^7 + 133*T1^3*T2^7 + 490*T1^4*T2^7 - 1321*T1^5*T2^7 + 
     1648*T1^6*T2^7 + 1648*T1^7*T2^7 - 1321*T1^8*T2^7 + 490*T1^9*T2^7 + 
     133*T1^10*T2^7 - 84*T1^11*T2^7 - 7*T1^12*T2^7 + 19*T1^2*T2^8 + 
     56*T1^3*T2^8 - 381*T1^4*T2^8 + 490*T1^5*T2^8 + 9*T1^6*T2^8 - 
     1321*T1^7*T2^8 + 9*T1^8*T2^8 + 490*T1^9*T2^8 - 381*T1^10*T2^8 + 
     56*T1^11*T2^8 + 19*T1^12*T2^8 - 27*T1^3*T2^9 + 56*T1^4*T2^9 + 
     133*T1^5*T2^9 - 480*T1^6*T2^9 + 490*T1^7*T2^9 + 490*T1^8*T2^9 - 
     480*T1^9*T2^9 + 133*T1^10*T2^9 + 56*T1^11*T2^9 - 27*T1^12*T2^9 + 
     19*T1^4*T2^10 - 84*T1^5*T2^10 + 79*T1^6*T2^10 + 133*T1^7*T2^10 - 
     381*T1^8*T2^10 + 133*T1^9*T2^10 + 79*T1^10*T2^10 - 84*T1^11*T2^10 + 
     19*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 84*T1^7*T2^11 + 
     56*T1^8*T2^11 + 56*T1^9*T2^11 - 84*T1^10*T2^11 + 42*T1^11*T2^11 - 
     7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 19*T1^8*T2^12 - 
     27*T1^9*T2^12 + 19*T1^10*T2^12 - 7*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   (2 - 14*T1 + 50*T1^2 - 98*T1^3 + 122*T1^4 - 98*T1^5 + 50*T1^6 - 14*T1^7 + 
     2*T1^8 - 14*T2 + 84*T1*T2 - 252*T1^2*T2 + 336*T1^3*T2 - 168*T1^4*T2 - 
     168*T1^5*T2 + 336*T1^6*T2 - 252*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
     50*T2^2 - 252*T1*T2^2 + 612*T1^2*T2^2 - 334*T1^3*T2^2 - 548*T1^4*T2^2 + 
     1140*T1^5*T2^2 - 548*T1^6*T2^2 - 334*T1^7*T2^2 + 612*T1^8*T2^2 - 
     252*T1^9*T2^2 + 50*T1^10*T2^2 - 98*T2^3 + 336*T1*T2^3 - 334*T1^2*T2^3 - 
     1656*T1^3*T2^3 + 3228*T1^4*T2^3 - 1908*T1^5*T2^3 - 1908*T1^6*T2^3 + 
     3228*T1^7*T2^3 - 1656*T1^8*T2^3 - 334*T1^9*T2^3 + 336*T1^10*T2^3 - 
     98*T1^11*T2^3 + 122*T2^4 - 168*T1*T2^4 - 548*T1^2*T2^4 + 
     3228*T1^3*T2^4 + 72*T1^4*T2^4 - 8754*T1^5*T2^4 + 14760*T1^6*T2^4 - 
     8754*T1^7*T2^4 + 72*T1^8*T2^4 + 3228*T1^9*T2^4 - 548*T1^10*T2^4 - 
     168*T1^11*T2^4 + 122*T1^12*T2^4 - 98*T2^5 - 168*T1*T2^5 + 
     1140*T1^2*T2^5 - 1908*T1^3*T2^5 - 8754*T1^4*T2^5 + 17316*T1^5*T2^5 - 
     10566*T1^6*T2^5 - 10566*T1^7*T2^5 + 17316*T1^8*T2^5 - 8754*T1^9*T2^5 - 
     1908*T1^10*T2^5 + 1140*T1^11*T2^5 - 168*T1^12*T2^5 - 98*T1^13*T2^5 + 
     50*T2^6 + 336*T1*T2^6 - 548*T1^2*T2^6 - 1908*T1^3*T2^6 + 
     14760*T1^4*T2^6 - 10566*T1^5*T2^6 - 11113*T1^6*T2^6 + 28639*T1^7*T2^6 - 
     11113*T1^8*T2^6 - 10566*T1^9*T2^6 + 14760*T1^10*T2^6 - 1908*T1^11*T2^6 - 
     548*T1^12*T2^6 + 336*T1^13*T2^6 + 50*T1^14*T2^6 - 14*T2^7 - 
     252*T1*T2^7 - 334*T1^2*T2^7 + 3228*T1^3*T2^7 - 8754*T1^4*T2^7 - 
     10566*T1^5*T2^7 + 28639*T1^6*T2^7 - 19338*T1^7*T2^7 - 19338*T1^8*T2^7 + 
     28639*T1^9*T2^7 - 10566*T1^10*T2^7 - 8754*T1^11*T2^7 + 3228*T1^12*T2^7 - 
     334*T1^13*T2^7 - 252*T1^14*T2^7 - 14*T1^15*T2^7 + 2*T2^8 + 84*T1*T2^8 + 
     612*T1^2*T2^8 - 1656*T1^3*T2^8 + 72*T1^4*T2^8 + 17316*T1^5*T2^8 - 
     11113*T1^6*T2^8 - 19338*T1^7*T2^8 + 44496*T1^8*T2^8 - 19338*T1^9*T2^8 - 
     11113*T1^10*T2^8 + 17316*T1^11*T2^8 + 72*T1^12*T2^8 - 1656*T1^13*T2^8 + 
     612*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 14*T1*T2^9 - 
     252*T1^2*T2^9 - 334*T1^3*T2^9 + 3228*T1^4*T2^9 - 8754*T1^5*T2^9 - 
     10566*T1^6*T2^9 + 28639*T1^7*T2^9 - 19338*T1^8*T2^9 - 19338*T1^9*T2^9 + 
     28639*T1^10*T2^9 - 10566*T1^11*T2^9 - 8754*T1^12*T2^9 + 
     3228*T1^13*T2^9 - 334*T1^14*T2^9 - 252*T1^15*T2^9 - 14*T1^16*T2^9 + 
     50*T1^2*T2^10 + 336*T1^3*T2^10 - 548*T1^4*T2^10 - 1908*T1^5*T2^10 + 
     14760*T1^6*T2^10 - 10566*T1^7*T2^10 - 11113*T1^8*T2^10 + 
     28639*T1^9*T2^10 - 11113*T1^10*T2^10 - 10566*T1^11*T2^10 + 
     14760*T1^12*T2^10 - 1908*T1^13*T2^10 - 548*T1^14*T2^10 + 
     336*T1^15*T2^10 + 50*T1^16*T2^10 - 98*T1^3*T2^11 - 168*T1^4*T2^11 + 
     1140*T1^5*T2^11 - 1908*T1^6*T2^11 - 8754*T1^7*T2^11 + 17316*T1^8*T2^11 - 
     10566*T1^9*T2^11 - 10566*T1^10*T2^11 + 17316*T1^11*T2^11 - 
     8754*T1^12*T2^11 - 1908*T1^13*T2^11 + 1140*T1^14*T2^11 - 
     168*T1^15*T2^11 - 98*T1^16*T2^11 + 122*T1^4*T2^12 - 168*T1^5*T2^12 - 
     548*T1^6*T2^12 + 3228*T1^7*T2^12 + 72*T1^8*T2^12 - 8754*T1^9*T2^12 + 
     14760*T1^10*T2^12 - 8754*T1^11*T2^12 + 72*T1^12*T2^12 + 
     3228*T1^13*T2^12 - 548*T1^14*T2^12 - 168*T1^15*T2^12 + 122*T1^16*T2^12 - 
     98*T1^5*T2^13 + 336*T1^6*T2^13 - 334*T1^7*T2^13 - 1656*T1^8*T2^13 + 
     3228*T1^9*T2^13 - 1908*T1^10*T2^13 - 1908*T1^11*T2^13 + 
     3228*T1^12*T2^13 - 1656*T1^13*T2^13 - 334*T1^14*T2^13 + 
     336*T1^15*T2^13 - 98*T1^16*T2^13 + 50*T1^6*T2^14 - 252*T1^7*T2^14 + 
     612*T1^8*T2^14 - 334*T1^9*T2^14 - 548*T1^10*T2^14 + 1140*T1^11*T2^14 - 
     548*T1^12*T2^14 - 334*T1^13*T2^14 + 612*T1^14*T2^14 - 252*T1^15*T2^14 + 
     50*T1^16*T2^14 - 14*T1^7*T2^15 + 84*T1^8*T2^15 - 252*T1^9*T2^15 + 
     336*T1^10*T2^15 - 168*T1^11*T2^15 - 168*T1^12*T2^15 + 336*T1^13*T2^15 - 
     252*T1^14*T2^15 + 84*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)/
    (T1^8*T2^8)}, Knot[12, Alternating, 562] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^3, 
   (9 - 67*T1 + 183*T1^2 - 245*T1^3 + 183*T1^4 - 67*T1^5 + 9*T1^6 - 67*T2 + 
     432*T1*T2 - 864*T1^2*T2 + 462*T1^3*T2 + 462*T1^4*T2 - 864*T1^5*T2 + 
     432*T1^6*T2 - 67*T1^7*T2 + 183*T2^2 - 864*T1*T2^2 + 230*T1^2*T2^2 + 
     3638*T1^3*T2^2 - 5914*T1^4*T2^2 + 3638*T1^5*T2^2 + 230*T1^6*T2^2 - 
     864*T1^7*T2^2 + 183*T1^8*T2^2 - 245*T2^3 + 462*T1*T2^3 + 
     3638*T1^2*T2^3 - 10660*T1^3*T2^3 + 5998*T1^4*T2^3 + 5998*T1^5*T2^3 - 
     10660*T1^6*T2^3 + 3638*T1^7*T2^3 + 462*T1^8*T2^3 - 245*T1^9*T2^3 + 
     183*T2^4 + 462*T1*T2^4 - 5914*T1^2*T2^4 + 5998*T1^3*T2^4 + 
     15314*T1^4*T2^4 - 28446*T1^5*T2^4 + 15314*T1^6*T2^4 + 5998*T1^7*T2^4 - 
     5914*T1^8*T2^4 + 462*T1^9*T2^4 + 183*T1^10*T2^4 - 67*T2^5 - 
     864*T1*T2^5 + 3638*T1^2*T2^5 + 5998*T1^3*T2^5 - 28446*T1^4*T2^5 + 
     16880*T1^5*T2^5 + 16880*T1^6*T2^5 - 28446*T1^7*T2^5 + 5998*T1^8*T2^5 + 
     3638*T1^9*T2^5 - 864*T1^10*T2^5 - 67*T1^11*T2^5 + 9*T2^6 + 432*T1*T2^6 + 
     230*T1^2*T2^6 - 10660*T1^3*T2^6 + 15314*T1^4*T2^6 + 16880*T1^5*T2^6 - 
     37800*T1^6*T2^6 + 16880*T1^7*T2^6 + 15314*T1^8*T2^6 - 10660*T1^9*T2^6 + 
     230*T1^10*T2^6 + 432*T1^11*T2^6 + 9*T1^12*T2^6 - 67*T1*T2^7 - 
     864*T1^2*T2^7 + 3638*T1^3*T2^7 + 5998*T1^4*T2^7 - 28446*T1^5*T2^7 + 
     16880*T1^6*T2^7 + 16880*T1^7*T2^7 - 28446*T1^8*T2^7 + 5998*T1^9*T2^7 + 
     3638*T1^10*T2^7 - 864*T1^11*T2^7 - 67*T1^12*T2^7 + 183*T1^2*T2^8 + 
     462*T1^3*T2^8 - 5914*T1^4*T2^8 + 5998*T1^5*T2^8 + 15314*T1^6*T2^8 - 
     28446*T1^7*T2^8 + 15314*T1^8*T2^8 + 5998*T1^9*T2^8 - 5914*T1^10*T2^8 + 
     462*T1^11*T2^8 + 183*T1^12*T2^8 - 245*T1^3*T2^9 + 462*T1^4*T2^9 + 
     3638*T1^5*T2^9 - 10660*T1^6*T2^9 + 5998*T1^7*T2^9 + 5998*T1^8*T2^9 - 
     10660*T1^9*T2^9 + 3638*T1^10*T2^9 + 462*T1^11*T2^9 - 245*T1^12*T2^9 + 
     183*T1^4*T2^10 - 864*T1^5*T2^10 + 230*T1^6*T2^10 + 3638*T1^7*T2^10 - 
     5914*T1^8*T2^10 + 3638*T1^9*T2^10 + 230*T1^10*T2^10 - 864*T1^11*T2^10 + 
     183*T1^12*T2^10 - 67*T1^5*T2^11 + 432*T1^6*T2^11 - 864*T1^7*T2^11 + 
     462*T1^8*T2^11 + 462*T1^9*T2^11 - 864*T1^10*T2^11 + 432*T1^11*T2^11 - 
     67*T1^12*T2^11 + 9*T1^6*T2^12 - 67*T1^7*T2^12 + 183*T1^8*T2^12 - 
     245*T1^9*T2^12 + 183*T1^10*T2^12 - 67*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 563] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 3*T + 3*T^2 - 3*T^3 + 2*T^4))/T^3), 
   (-2*(72 - 286*T1 + 442*T1^2 - 476*T1^3 + 442*T1^4 - 286*T1^5 + 72*T1^6 - 
      286*T2 + 852*T1*T2 - 623*T1^2*T2 + 136*T1^3*T2 + 136*T1^4*T2 - 
      623*T1^5*T2 + 852*T1^6*T2 - 286*T1^7*T2 + 442*T2^2 - 623*T1*T2^2 - 
      1380*T1^2*T2^2 + 2424*T1^3*T2^2 - 2268*T1^4*T2^2 + 2424*T1^5*T2^2 - 
      1380*T1^6*T2^2 - 623*T1^7*T2^2 + 442*T1^8*T2^2 - 476*T2^3 + 
      136*T1*T2^3 + 2424*T1^2*T2^3 - 1542*T1^3*T2^3 + 28*T1^4*T2^3 + 
      28*T1^5*T2^3 - 1542*T1^6*T2^3 + 2424*T1^7*T2^3 + 136*T1^8*T2^3 - 
      476*T1^9*T2^3 + 442*T2^4 + 136*T1*T2^4 - 2268*T1^2*T2^4 + 
      28*T1^3*T2^4 + 652*T1^4*T2^4 + 261*T1^5*T2^4 + 652*T1^6*T2^4 + 
      28*T1^7*T2^4 - 2268*T1^8*T2^4 + 136*T1^9*T2^4 + 442*T1^10*T2^4 - 
      286*T2^5 - 623*T1*T2^5 + 2424*T1^2*T2^5 + 28*T1^3*T2^5 + 
      261*T1^4*T2^5 - 698*T1^5*T2^5 - 698*T1^6*T2^5 + 261*T1^7*T2^5 + 
      28*T1^8*T2^5 + 2424*T1^9*T2^5 - 623*T1^10*T2^5 - 286*T1^11*T2^5 + 
      72*T2^6 + 852*T1*T2^6 - 1380*T1^2*T2^6 - 1542*T1^3*T2^6 + 
      652*T1^4*T2^6 - 698*T1^5*T2^6 + 1710*T1^6*T2^6 - 698*T1^7*T2^6 + 
      652*T1^8*T2^6 - 1542*T1^9*T2^6 - 1380*T1^10*T2^6 + 852*T1^11*T2^6 + 
      72*T1^12*T2^6 - 286*T1*T2^7 - 623*T1^2*T2^7 + 2424*T1^3*T2^7 + 
      28*T1^4*T2^7 + 261*T1^5*T2^7 - 698*T1^6*T2^7 - 698*T1^7*T2^7 + 
      261*T1^8*T2^7 + 28*T1^9*T2^7 + 2424*T1^10*T2^7 - 623*T1^11*T2^7 - 
      286*T1^12*T2^7 + 442*T1^2*T2^8 + 136*T1^3*T2^8 - 2268*T1^4*T2^8 + 
      28*T1^5*T2^8 + 652*T1^6*T2^8 + 261*T1^7*T2^8 + 652*T1^8*T2^8 + 
      28*T1^9*T2^8 - 2268*T1^10*T2^8 + 136*T1^11*T2^8 + 442*T1^12*T2^8 - 
      476*T1^3*T2^9 + 136*T1^4*T2^9 + 2424*T1^5*T2^9 - 1542*T1^6*T2^9 + 
      28*T1^7*T2^9 + 28*T1^8*T2^9 - 1542*T1^9*T2^9 + 2424*T1^10*T2^9 + 
      136*T1^11*T2^9 - 476*T1^12*T2^9 + 442*T1^4*T2^10 - 623*T1^5*T2^10 - 
      1380*T1^6*T2^10 + 2424*T1^7*T2^10 - 2268*T1^8*T2^10 + 2424*T1^9*T2^10 - 
      1380*T1^10*T2^10 - 623*T1^11*T2^10 + 442*T1^12*T2^10 - 286*T1^5*T2^11 + 
      852*T1^6*T2^11 - 623*T1^7*T2^11 + 136*T1^8*T2^11 + 136*T1^9*T2^11 - 
      623*T1^10*T2^11 + 852*T1^11*T2^11 - 286*T1^12*T2^11 + 72*T1^6*T2^12 - 
      286*T1^7*T2^12 + 442*T1^8*T2^12 - 476*T1^9*T2^12 + 442*T1^10*T2^12 - 
      286*T1^11*T2^12 + 72*T1^12*T2^12))/(T1^6*T2^6)}, 
 Knot[12, Alternating, 564] -> 
  {-(((-2 + T)*(-1 + 2*T)*(4 - 7*T + 4*T^2))/T^2), 
   -((704 - 2960*T1 + 4400*T1^2 - 2960*T1^3 + 704*T1^4 - 2960*T2 + 
      9508*T1*T2 - 6080*T1^2*T2 - 6080*T1^3*T2 + 9508*T1^4*T2 - 
      2960*T1^5*T2 + 4400*T2^2 - 6080*T1*T2^2 - 20387*T1^2*T2^2 + 
      40841*T1^3*T2^2 - 20387*T1^4*T2^2 - 6080*T1^5*T2^2 + 4400*T1^6*T2^2 - 
      2960*T2^3 - 6080*T1*T2^3 + 40841*T1^2*T2^3 - 28534*T1^3*T2^3 - 
      28534*T1^4*T2^3 + 40841*T1^5*T2^3 - 6080*T1^6*T2^3 - 2960*T1^7*T2^3 + 
      704*T2^4 + 9508*T1*T2^4 - 20387*T1^2*T2^4 - 28534*T1^3*T2^4 + 
      69288*T1^4*T2^4 - 28534*T1^5*T2^4 - 20387*T1^6*T2^4 + 9508*T1^7*T2^4 + 
      704*T1^8*T2^4 - 2960*T1*T2^5 - 6080*T1^2*T2^5 + 40841*T1^3*T2^5 - 
      28534*T1^4*T2^5 - 28534*T1^5*T2^5 + 40841*T1^6*T2^5 - 6080*T1^7*T2^5 - 
      2960*T1^8*T2^5 + 4400*T1^2*T2^6 - 6080*T1^3*T2^6 - 20387*T1^4*T2^6 + 
      40841*T1^5*T2^6 - 20387*T1^6*T2^6 - 6080*T1^7*T2^6 + 4400*T1^8*T2^6 - 
      2960*T1^3*T2^7 + 9508*T1^4*T2^7 - 6080*T1^5*T2^7 - 6080*T1^6*T2^7 + 
      9508*T1^7*T2^7 - 2960*T1^8*T2^7 + 704*T1^4*T2^8 - 2960*T1^5*T2^8 + 
      4400*T1^6*T2^8 - 2960*T1^7*T2^8 + 704*T1^8*T2^8)/(T1^4*T2^4))}, 
 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 + 84*T1*T2 - 224*T1^2*T2 + 252*T1^3*T2 - 112*T1^4*T2 - 
      112*T1^5*T2 + 252*T1^6*T2 - 224*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
      46*T2^2 - 224*T1*T2^2 + 416*T1^2*T2^2 + 64*T1^3*T2^2 - 752*T1^4*T2^2 + 
      1090*T1^5*T2^2 - 752*T1^6*T2^2 + 64*T1^7*T2^2 + 416*T1^8*T2^2 - 
      224*T1^9*T2^2 + 46*T1^10*T2^2 - 82*T2^3 + 252*T1*T2^3 + 64*T1^2*T2^3 - 
      1954*T1^3*T2^3 + 2500*T1^4*T2^3 - 1176*T1^5*T2^3 - 1176*T1^6*T2^3 + 
      2500*T1^7*T2^3 - 1954*T1^8*T2^3 + 64*T1^9*T2^3 + 252*T1^10*T2^3 - 
      82*T1^11*T2^3 + 98*T2^4 - 112*T1*T2^4 - 752*T1^2*T2^4 + 
      2500*T1^3*T2^4 + 1455*T1^4*T2^4 - 6853*T1^5*T2^4 + 9593*T1^6*T2^4 - 
      6853*T1^7*T2^4 + 1455*T1^8*T2^4 + 2500*T1^9*T2^4 - 752*T1^10*T2^4 - 
      112*T1^11*T2^4 + 98*T1^12*T2^4 - 82*T2^5 - 112*T1*T2^5 + 
      1090*T1^2*T2^5 - 1176*T1^3*T2^5 - 6853*T1^4*T2^5 + 9428*T1^5*T2^5 - 
      4676*T1^6*T2^5 - 4676*T1^7*T2^5 + 9428*T1^8*T2^5 - 6853*T1^9*T2^5 - 
      1176*T1^10*T2^5 + 1090*T1^11*T2^5 - 112*T1^12*T2^5 - 82*T1^13*T2^5 + 
      46*T2^6 + 252*T1*T2^6 - 752*T1^2*T2^6 - 1176*T1^3*T2^6 + 
      9593*T1^4*T2^6 - 4676*T1^5*T2^6 - 4387*T1^6*T2^6 + 9971*T1^7*T2^6 - 
      4387*T1^8*T2^6 - 4676*T1^9*T2^6 + 9593*T1^10*T2^6 - 1176*T1^11*T2^6 - 
      752*T1^12*T2^6 + 252*T1^13*T2^6 + 46*T1^14*T2^6 - 14*T2^7 - 
      224*T1*T2^7 + 64*T1^2*T2^7 + 2500*T1^3*T2^7 - 6853*T1^4*T2^7 - 
      4676*T1^5*T2^7 + 9971*T1^6*T2^7 - 5890*T1^7*T2^7 - 5890*T1^8*T2^7 + 
      9971*T1^9*T2^7 - 4676*T1^10*T2^7 - 6853*T1^11*T2^7 + 2500*T1^12*T2^7 + 
      64*T1^13*T2^7 - 224*T1^14*T2^7 - 14*T1^15*T2^7 + 2*T2^8 + 84*T1*T2^8 + 
      416*T1^2*T2^8 - 1954*T1^3*T2^8 + 1455*T1^4*T2^8 + 9428*T1^5*T2^8 - 
      4387*T1^6*T2^8 - 5890*T1^7*T2^8 + 12888*T1^8*T2^8 - 5890*T1^9*T2^8 - 
      4387*T1^10*T2^8 + 9428*T1^11*T2^8 + 1455*T1^12*T2^8 - 1954*T1^13*T2^8 + 
      416*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 14*T1*T2^9 - 
      224*T1^2*T2^9 + 64*T1^3*T2^9 + 2500*T1^4*T2^9 - 6853*T1^5*T2^9 - 
      4676*T1^6*T2^9 + 9971*T1^7*T2^9 - 5890*T1^8*T2^9 - 5890*T1^9*T2^9 + 
      9971*T1^10*T2^9 - 4676*T1^11*T2^9 - 6853*T1^12*T2^9 + 2500*T1^13*T2^9 + 
      64*T1^14*T2^9 - 224*T1^15*T2^9 - 14*T1^16*T2^9 + 46*T1^2*T2^10 + 
      252*T1^3*T2^10 - 752*T1^4*T2^10 - 1176*T1^5*T2^10 + 9593*T1^6*T2^10 - 
      4676*T1^7*T2^10 - 4387*T1^8*T2^10 + 9971*T1^9*T2^10 - 
      4387*T1^10*T2^10 - 4676*T1^11*T2^10 + 9593*T1^12*T2^10 - 
      1176*T1^13*T2^10 - 752*T1^14*T2^10 + 252*T1^15*T2^10 + 46*T1^16*T2^10 - 
      82*T1^3*T2^11 - 112*T1^4*T2^11 + 1090*T1^5*T2^11 - 1176*T1^6*T2^11 - 
      6853*T1^7*T2^11 + 9428*T1^8*T2^11 - 4676*T1^9*T2^11 - 
      4676*T1^10*T2^11 + 9428*T1^11*T2^11 - 6853*T1^12*T2^11 - 
      1176*T1^13*T2^11 + 1090*T1^14*T2^11 - 112*T1^15*T2^11 - 
      82*T1^16*T2^11 + 98*T1^4*T2^12 - 112*T1^5*T2^12 - 752*T1^6*T2^12 + 
      2500*T1^7*T2^12 + 1455*T1^8*T2^12 - 6853*T1^9*T2^12 + 
      9593*T1^10*T2^12 - 6853*T1^11*T2^12 + 1455*T1^12*T2^12 + 
      2500*T1^13*T2^12 - 752*T1^14*T2^12 - 112*T1^15*T2^12 + 98*T1^16*T2^12 - 
      82*T1^5*T2^13 + 252*T1^6*T2^13 + 64*T1^7*T2^13 - 1954*T1^8*T2^13 + 
      2500*T1^9*T2^13 - 1176*T1^10*T2^13 - 1176*T1^11*T2^13 + 
      2500*T1^12*T2^13 - 1954*T1^13*T2^13 + 64*T1^14*T2^13 + 
      252*T1^15*T2^13 - 82*T1^16*T2^13 + 46*T1^6*T2^14 - 224*T1^7*T2^14 + 
      416*T1^8*T2^14 + 64*T1^9*T2^14 - 752*T1^10*T2^14 + 1090*T1^11*T2^14 - 
      752*T1^12*T2^14 + 64*T1^13*T2^14 + 416*T1^14*T2^14 - 224*T1^15*T2^14 + 
      46*T1^16*T2^14 - 14*T1^7*T2^15 + 84*T1^8*T2^15 - 224*T1^9*T2^15 + 
      252*T1^10*T2^15 - 112*T1^11*T2^15 - 112*T1^12*T2^15 + 252*T1^13*T2^15 - 
      224*T1^14*T2^15 + 84*T1^15*T2^15 - 14*T1^16*T2^15 + 2*T1^8*T2^16 - 
      14*T1^9*T2^16 + 46*T1^10*T2^16 - 82*T1^11*T2^16 + 98*T1^12*T2^16 - 
      82*T1^13*T2^16 + 46*T1^14*T2^16 - 14*T1^15*T2^16 + 2*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 566] -> 
  {(2 - 13*T + 37*T^2 - 51*T^3 + 37*T^4 - 13*T^5 + 2*T^6)/T^3, 
   -((9 - 59*T1 + 169*T1^2 - 233*T1^3 + 169*T1^4 - 59*T1^5 + 9*T1^6 - 59*T2 + 
      328*T1*T2 - 722*T1^2*T2 + 420*T1^3*T2 + 420*T1^4*T2 - 722*T1^5*T2 + 
      328*T1^6*T2 - 59*T1^7*T2 + 169*T2^2 - 722*T1*T2^2 + 799*T1^2*T2^2 + 
      1863*T1^3*T2^2 - 3805*T1^4*T2^2 + 1863*T1^5*T2^2 + 799*T1^6*T2^2 - 
      722*T1^7*T2^2 + 169*T1^8*T2^2 - 233*T2^3 + 420*T1*T2^3 + 
      1863*T1^2*T2^3 - 8072*T1^3*T2^3 + 5256*T1^4*T2^3 + 5256*T1^5*T2^3 - 
      8072*T1^6*T2^3 + 1863*T1^7*T2^3 + 420*T1^8*T2^3 - 233*T1^9*T2^3 + 
      169*T2^4 + 420*T1*T2^4 - 3805*T1^2*T2^4 + 5256*T1^3*T2^4 + 
      13844*T1^4*T2^4 - 28064*T1^5*T2^4 + 13844*T1^6*T2^4 + 5256*T1^7*T2^4 - 
      3805*T1^8*T2^4 + 420*T1^9*T2^4 + 169*T1^10*T2^4 - 59*T2^5 - 
      722*T1*T2^5 + 1863*T1^2*T2^5 + 5256*T1^3*T2^5 - 28064*T1^4*T2^5 + 
      18650*T1^5*T2^5 + 18650*T1^6*T2^5 - 28064*T1^7*T2^5 + 5256*T1^8*T2^5 + 
      1863*T1^9*T2^5 - 722*T1^10*T2^5 - 59*T1^11*T2^5 + 9*T2^6 + 
      328*T1*T2^6 + 799*T1^2*T2^6 - 8072*T1^3*T2^6 + 13844*T1^4*T2^6 + 
      18650*T1^5*T2^6 - 43860*T1^6*T2^6 + 18650*T1^7*T2^6 + 13844*T1^8*T2^6 - 
      8072*T1^9*T2^6 + 799*T1^10*T2^6 + 328*T1^11*T2^6 + 9*T1^12*T2^6 - 
      59*T1*T2^7 - 722*T1^2*T2^7 + 1863*T1^3*T2^7 + 5256*T1^4*T2^7 - 
      28064*T1^5*T2^7 + 18650*T1^6*T2^7 + 18650*T1^7*T2^7 - 28064*T1^8*T2^7 + 
      5256*T1^9*T2^7 + 1863*T1^10*T2^7 - 722*T1^11*T2^7 - 59*T1^12*T2^7 + 
      169*T1^2*T2^8 + 420*T1^3*T2^8 - 3805*T1^4*T2^8 + 5256*T1^5*T2^8 + 
      13844*T1^6*T2^8 - 28064*T1^7*T2^8 + 13844*T1^8*T2^8 + 5256*T1^9*T2^8 - 
      3805*T1^10*T2^8 + 420*T1^11*T2^8 + 169*T1^12*T2^8 - 233*T1^3*T2^9 + 
      420*T1^4*T2^9 + 1863*T1^5*T2^9 - 8072*T1^6*T2^9 + 5256*T1^7*T2^9 + 
      5256*T1^8*T2^9 - 8072*T1^9*T2^9 + 1863*T1^10*T2^9 + 420*T1^11*T2^9 - 
      233*T1^12*T2^9 + 169*T1^4*T2^10 - 722*T1^5*T2^10 + 799*T1^6*T2^10 + 
      1863*T1^7*T2^10 - 3805*T1^8*T2^10 + 1863*T1^9*T2^10 + 799*T1^10*T2^10 - 
      722*T1^11*T2^10 + 169*T1^12*T2^10 - 59*T1^5*T2^11 + 328*T1^6*T2^11 - 
      722*T1^7*T2^11 + 420*T1^8*T2^11 + 420*T1^9*T2^11 - 722*T1^10*T2^11 + 
      328*T1^11*T2^11 - 59*T1^12*T2^11 + 9*T1^6*T2^12 - 59*T1^7*T2^12 + 
      169*T1^8*T2^12 - 233*T1^9*T2^12 + 169*T1^10*T2^12 - 59*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, 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, (1 - 5*T1 + 11*T1^2 - 18*T1^3 + 23*T1^4 - 18*T1^5 + 11*T1^6 - 
     5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 30*T1^2*T2 + 35*T1^3*T2 - 25*T1^4*T2 - 
     25*T1^5*T2 + 35*T1^6*T2 - 30*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
     11*T2^2 - 30*T1*T2^2 + 10*T1^2*T2^2 - 3*T1^3*T2^2 - 7*T1^4*T2^2 + 
     92*T1^5*T2^2 - 7*T1^6*T2^2 - 3*T1^7*T2^2 + 10*T1^8*T2^2 - 30*T1^9*T2^2 + 
     11*T1^10*T2^2 - 18*T2^3 + 35*T1*T2^3 - 3*T1^2*T2^3 + 124*T1^3*T2^3 - 
     222*T1^4*T2^3 - 22*T1^5*T2^3 - 22*T1^6*T2^3 - 222*T1^7*T2^3 + 
     124*T1^8*T2^3 - 3*T1^9*T2^3 + 35*T1^10*T2^3 - 18*T1^11*T2^3 + 23*T2^4 - 
     25*T1*T2^4 - 7*T1^2*T2^4 - 222*T1^3*T2^4 - 35*T1^4*T2^4 + 
     1218*T1^5*T2^4 - 1245*T1^6*T2^4 + 1218*T1^7*T2^4 - 35*T1^8*T2^4 - 
     222*T1^9*T2^4 - 7*T1^10*T2^4 - 25*T1^11*T2^4 + 23*T1^12*T2^4 - 18*T2^5 - 
     25*T1*T2^5 + 92*T1^2*T2^5 - 22*T1^3*T2^5 + 1218*T1^4*T2^5 - 
     2926*T1^5*T2^5 + 873*T1^6*T2^5 + 873*T1^7*T2^5 - 2926*T1^8*T2^5 + 
     1218*T1^9*T2^5 - 22*T1^10*T2^5 + 92*T1^11*T2^5 - 25*T1^12*T2^5 - 
     18*T1^13*T2^5 + 11*T2^6 + 35*T1*T2^6 - 7*T1^2*T2^6 - 22*T1^3*T2^6 - 
     1245*T1^4*T2^6 + 873*T1^5*T2^6 + 4694*T1^6*T2^6 - 5616*T1^7*T2^6 + 
     4694*T1^8*T2^6 + 873*T1^9*T2^6 - 1245*T1^10*T2^6 - 22*T1^11*T2^6 - 
     7*T1^12*T2^6 + 35*T1^13*T2^6 + 11*T1^14*T2^6 - 5*T2^7 - 30*T1*T2^7 - 
     3*T1^2*T2^7 - 222*T1^3*T2^7 + 1218*T1^4*T2^7 + 873*T1^5*T2^7 - 
     5616*T1^6*T2^7 + 1550*T1^7*T2^7 + 1550*T1^8*T2^7 - 5616*T1^9*T2^7 + 
     873*T1^10*T2^7 + 1218*T1^11*T2^7 - 222*T1^12*T2^7 - 3*T1^13*T2^7 - 
     30*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 10*T1^2*T2^8 + 
     124*T1^3*T2^8 - 35*T1^4*T2^8 - 2926*T1^5*T2^8 + 4694*T1^6*T2^8 + 
     1550*T1^7*T2^8 - 1812*T1^8*T2^8 + 1550*T1^9*T2^8 + 4694*T1^10*T2^8 - 
     2926*T1^11*T2^8 - 35*T1^12*T2^8 + 124*T1^13*T2^8 + 10*T1^14*T2^8 + 
     20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 30*T1^2*T2^9 - 3*T1^3*T2^9 - 
     222*T1^4*T2^9 + 1218*T1^5*T2^9 + 873*T1^6*T2^9 - 5616*T1^7*T2^9 + 
     1550*T1^8*T2^9 + 1550*T1^9*T2^9 - 5616*T1^10*T2^9 + 873*T1^11*T2^9 + 
     1218*T1^12*T2^9 - 222*T1^13*T2^9 - 3*T1^14*T2^9 - 30*T1^15*T2^9 - 
     5*T1^16*T2^9 + 11*T1^2*T2^10 + 35*T1^3*T2^10 - 7*T1^4*T2^10 - 
     22*T1^5*T2^10 - 1245*T1^6*T2^10 + 873*T1^7*T2^10 + 4694*T1^8*T2^10 - 
     5616*T1^9*T2^10 + 4694*T1^10*T2^10 + 873*T1^11*T2^10 - 
     1245*T1^12*T2^10 - 22*T1^13*T2^10 - 7*T1^14*T2^10 + 35*T1^15*T2^10 + 
     11*T1^16*T2^10 - 18*T1^3*T2^11 - 25*T1^4*T2^11 + 92*T1^5*T2^11 - 
     22*T1^6*T2^11 + 1218*T1^7*T2^11 - 2926*T1^8*T2^11 + 873*T1^9*T2^11 + 
     873*T1^10*T2^11 - 2926*T1^11*T2^11 + 1218*T1^12*T2^11 - 22*T1^13*T2^11 + 
     92*T1^14*T2^11 - 25*T1^15*T2^11 - 18*T1^16*T2^11 + 23*T1^4*T2^12 - 
     25*T1^5*T2^12 - 7*T1^6*T2^12 - 222*T1^7*T2^12 - 35*T1^8*T2^12 + 
     1218*T1^9*T2^12 - 1245*T1^10*T2^12 + 1218*T1^11*T2^12 - 35*T1^12*T2^12 - 
     222*T1^13*T2^12 - 7*T1^14*T2^12 - 25*T1^15*T2^12 + 23*T1^16*T2^12 - 
     18*T1^5*T2^13 + 35*T1^6*T2^13 - 3*T1^7*T2^13 + 124*T1^8*T2^13 - 
     222*T1^9*T2^13 - 22*T1^10*T2^13 - 22*T1^11*T2^13 - 222*T1^12*T2^13 + 
     124*T1^13*T2^13 - 3*T1^14*T2^13 + 35*T1^15*T2^13 - 18*T1^16*T2^13 + 
     11*T1^6*T2^14 - 30*T1^7*T2^14 + 10*T1^8*T2^14 - 3*T1^9*T2^14 - 
     7*T1^10*T2^14 + 92*T1^11*T2^14 - 7*T1^12*T2^14 - 3*T1^13*T2^14 + 
     10*T1^14*T2^14 - 30*T1^15*T2^14 + 11*T1^16*T2^14 - 5*T1^7*T2^15 + 
     20*T1^8*T2^15 - 30*T1^9*T2^15 + 35*T1^10*T2^15 - 25*T1^11*T2^15 - 
     25*T1^12*T2^15 + 35*T1^13*T2^15 - 30*T1^14*T2^15 + 20*T1^15*T2^15 - 
     5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 11*T1^10*T2^16 - 
     18*T1^11*T2^16 + 23*T1^12*T2^16 - 18*T1^13*T2^16 + 11*T1^14*T2^16 - 
     5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 568] -> 
  {-((4 - 18*T + 35*T^2 - 43*T^3 + 35*T^4 - 18*T^5 + 4*T^6)/T^3), 
   -((144 - 640*T1 + 1228*T1^2 - 1504*T1^3 + 1228*T1^4 - 640*T1^5 + 
      144*T1^6 - 640*T2 + 2210*T1*T2 - 2628*T1^2*T2 + 1234*T1^3*T2 + 
      1234*T1^4*T2 - 2628*T1^5*T2 + 2210*T1^6*T2 - 640*T1^7*T2 + 1228*T2^2 - 
      2628*T1*T2^2 - 981*T1^2*T2^2 + 6283*T1^3*T2^2 - 9215*T1^4*T2^2 + 
      6283*T1^5*T2^2 - 981*T1^6*T2^2 - 2628*T1^7*T2^2 + 1228*T1^8*T2^2 - 
      1504*T2^3 + 1234*T1*T2^3 + 6283*T1^2*T2^3 - 9106*T1^3*T2^3 + 
      4870*T1^4*T2^3 + 4870*T1^5*T2^3 - 9106*T1^6*T2^3 + 6283*T1^7*T2^3 + 
      1234*T1^8*T2^3 - 1504*T1^9*T2^3 + 1228*T2^4 + 1234*T1*T2^4 - 
      9215*T1^2*T2^4 + 4870*T1^3*T2^4 + 3647*T1^4*T2^4 - 9963*T1^5*T2^4 + 
      3647*T1^6*T2^4 + 4870*T1^7*T2^4 - 9215*T1^8*T2^4 + 1234*T1^9*T2^4 + 
      1228*T1^10*T2^4 - 640*T2^5 - 2628*T1*T2^5 + 6283*T1^2*T2^5 + 
      4870*T1^3*T2^5 - 9963*T1^4*T2^5 + 6562*T1^5*T2^5 + 6562*T1^6*T2^5 - 
      9963*T1^7*T2^5 + 4870*T1^8*T2^5 + 6283*T1^9*T2^5 - 2628*T1^10*T2^5 - 
      640*T1^11*T2^5 + 144*T2^6 + 2210*T1*T2^6 - 981*T1^2*T2^6 - 
      9106*T1^3*T2^6 + 3647*T1^4*T2^6 + 6562*T1^5*T2^6 - 14928*T1^6*T2^6 + 
      6562*T1^7*T2^6 + 3647*T1^8*T2^6 - 9106*T1^9*T2^6 - 981*T1^10*T2^6 + 
      2210*T1^11*T2^6 + 144*T1^12*T2^6 - 640*T1*T2^7 - 2628*T1^2*T2^7 + 
      6283*T1^3*T2^7 + 4870*T1^4*T2^7 - 9963*T1^5*T2^7 + 6562*T1^6*T2^7 + 
      6562*T1^7*T2^7 - 9963*T1^8*T2^7 + 4870*T1^9*T2^7 + 6283*T1^10*T2^7 - 
      2628*T1^11*T2^7 - 640*T1^12*T2^7 + 1228*T1^2*T2^8 + 1234*T1^3*T2^8 - 
      9215*T1^4*T2^8 + 4870*T1^5*T2^8 + 3647*T1^6*T2^8 - 9963*T1^7*T2^8 + 
      3647*T1^8*T2^8 + 4870*T1^9*T2^8 - 9215*T1^10*T2^8 + 1234*T1^11*T2^8 + 
      1228*T1^12*T2^8 - 1504*T1^3*T2^9 + 1234*T1^4*T2^9 + 6283*T1^5*T2^9 - 
      9106*T1^6*T2^9 + 4870*T1^7*T2^9 + 4870*T1^8*T2^9 - 9106*T1^9*T2^9 + 
      6283*T1^10*T2^9 + 1234*T1^11*T2^9 - 1504*T1^12*T2^9 + 1228*T1^4*T2^10 - 
      2628*T1^5*T2^10 - 981*T1^6*T2^10 + 6283*T1^7*T2^10 - 9215*T1^8*T2^10 + 
      6283*T1^9*T2^10 - 981*T1^10*T2^10 - 2628*T1^11*T2^10 + 
      1228*T1^12*T2^10 - 640*T1^5*T2^11 + 2210*T1^6*T2^11 - 2628*T1^7*T2^11 + 
      1234*T1^8*T2^11 + 1234*T1^9*T2^11 - 2628*T1^10*T2^11 + 
      2210*T1^11*T2^11 - 640*T1^12*T2^11 + 144*T1^6*T2^12 - 640*T1^7*T2^12 + 
      1228*T1^8*T2^12 - 1504*T1^9*T2^12 + 1228*T1^10*T2^12 - 
      640*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 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*(1 - 7*T1 + 21*T1^2 - 31*T1^3 + 33*T1^4 - 31*T1^5 + 21*T1^6 - 7*T1^7 + 
      T1^8 - 7*T2 + 42*T1*T2 - 98*T1^2*T2 + 70*T1^3*T2 - 14*T1^4*T2 - 
      14*T1^5*T2 + 70*T1^6*T2 - 98*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 
      21*T2^2 - 98*T1*T2^2 + 118*T1^2*T2^2 + 240*T1^3*T2^2 - 404*T1^4*T2^2 + 
      338*T1^5*T2^2 - 404*T1^6*T2^2 + 240*T1^7*T2^2 + 118*T1^8*T2^2 - 
      98*T1^9*T2^2 + 21*T1^10*T2^2 - 31*T2^3 + 70*T1*T2^3 + 240*T1^2*T2^3 - 
      1169*T1^3*T2^3 + 723*T1^4*T2^3 - 12*T1^5*T2^3 - 12*T1^6*T2^3 + 
      723*T1^7*T2^3 - 1169*T1^8*T2^3 + 240*T1^9*T2^3 + 70*T1^10*T2^3 - 
      31*T1^11*T2^3 + 33*T2^4 - 14*T1*T2^4 - 404*T1^2*T2^4 + 723*T1^3*T2^4 + 
      2091*T1^4*T2^4 - 3330*T1^5*T2^4 + 2718*T1^6*T2^4 - 3330*T1^7*T2^4 + 
      2091*T1^8*T2^4 + 723*T1^9*T2^4 - 404*T1^10*T2^4 - 14*T1^11*T2^4 + 
      33*T1^12*T2^4 - 31*T2^5 - 14*T1*T2^5 + 338*T1^2*T2^5 - 12*T1^3*T2^5 - 
      3330*T1^4*T2^5 + 1986*T1^5*T2^5 + 228*T1^6*T2^5 + 228*T1^7*T2^5 + 
      1986*T1^8*T2^5 - 3330*T1^9*T2^5 - 12*T1^10*T2^5 + 338*T1^11*T2^5 - 
      14*T1^12*T2^5 - 31*T1^13*T2^5 + 21*T2^6 + 70*T1*T2^6 - 404*T1^2*T2^6 - 
      12*T1^3*T2^6 + 2718*T1^4*T2^6 + 228*T1^5*T2^6 - 1294*T1^6*T2^6 - 
      278*T1^7*T2^6 - 1294*T1^8*T2^6 + 228*T1^9*T2^6 + 2718*T1^10*T2^6 - 
      12*T1^11*T2^6 - 404*T1^12*T2^6 + 70*T1^13*T2^6 + 21*T1^14*T2^6 - 
      7*T2^7 - 98*T1*T2^7 + 240*T1^2*T2^7 + 723*T1^3*T2^7 - 3330*T1^4*T2^7 + 
      228*T1^5*T2^7 - 278*T1^6*T2^7 + 1095*T1^7*T2^7 + 1095*T1^8*T2^7 - 
      278*T1^9*T2^7 + 228*T1^10*T2^7 - 3330*T1^11*T2^7 + 723*T1^12*T2^7 + 
      240*T1^13*T2^7 - 98*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 
      118*T1^2*T2^8 - 1169*T1^3*T2^8 + 2091*T1^4*T2^8 + 1986*T1^5*T2^8 - 
      1294*T1^6*T2^8 + 1095*T1^7*T2^8 - 2718*T1^8*T2^8 + 1095*T1^9*T2^8 - 
      1294*T1^10*T2^8 + 1986*T1^11*T2^8 + 2091*T1^12*T2^8 - 1169*T1^13*T2^8 + 
      118*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 
      98*T1^2*T2^9 + 240*T1^3*T2^9 + 723*T1^4*T2^9 - 3330*T1^5*T2^9 + 
      228*T1^6*T2^9 - 278*T1^7*T2^9 + 1095*T1^8*T2^9 + 1095*T1^9*T2^9 - 
      278*T1^10*T2^9 + 228*T1^11*T2^9 - 3330*T1^12*T2^9 + 723*T1^13*T2^9 + 
      240*T1^14*T2^9 - 98*T1^15*T2^9 - 7*T1^16*T2^9 + 21*T1^2*T2^10 + 
      70*T1^3*T2^10 - 404*T1^4*T2^10 - 12*T1^5*T2^10 + 2718*T1^6*T2^10 + 
      228*T1^7*T2^10 - 1294*T1^8*T2^10 - 278*T1^9*T2^10 - 1294*T1^10*T2^10 + 
      228*T1^11*T2^10 + 2718*T1^12*T2^10 - 12*T1^13*T2^10 - 404*T1^14*T2^10 + 
      70*T1^15*T2^10 + 21*T1^16*T2^10 - 31*T1^3*T2^11 - 14*T1^4*T2^11 + 
      338*T1^5*T2^11 - 12*T1^6*T2^11 - 3330*T1^7*T2^11 + 1986*T1^8*T2^11 + 
      228*T1^9*T2^11 + 228*T1^10*T2^11 + 1986*T1^11*T2^11 - 
      3330*T1^12*T2^11 - 12*T1^13*T2^11 + 338*T1^14*T2^11 - 14*T1^15*T2^11 - 
      31*T1^16*T2^11 + 33*T1^4*T2^12 - 14*T1^5*T2^12 - 404*T1^6*T2^12 + 
      723*T1^7*T2^12 + 2091*T1^8*T2^12 - 3330*T1^9*T2^12 + 2718*T1^10*T2^12 - 
      3330*T1^11*T2^12 + 2091*T1^12*T2^12 + 723*T1^13*T2^12 - 
      404*T1^14*T2^12 - 14*T1^15*T2^12 + 33*T1^16*T2^12 - 31*T1^5*T2^13 + 
      70*T1^6*T2^13 + 240*T1^7*T2^13 - 1169*T1^8*T2^13 + 723*T1^9*T2^13 - 
      12*T1^10*T2^13 - 12*T1^11*T2^13 + 723*T1^12*T2^13 - 1169*T1^13*T2^13 + 
      240*T1^14*T2^13 + 70*T1^15*T2^13 - 31*T1^16*T2^13 + 21*T1^6*T2^14 - 
      98*T1^7*T2^14 + 118*T1^8*T2^14 + 240*T1^9*T2^14 - 404*T1^10*T2^14 + 
      338*T1^11*T2^14 - 404*T1^12*T2^14 + 240*T1^13*T2^14 + 118*T1^14*T2^14 - 
      98*T1^15*T2^14 + 21*T1^16*T2^14 - 7*T1^7*T2^15 + 42*T1^8*T2^15 - 
      98*T1^9*T2^15 + 70*T1^10*T2^15 - 14*T1^11*T2^15 - 14*T1^12*T2^15 + 
      70*T1^13*T2^15 - 98*T1^14*T2^15 + 42*T1^15*T2^15 - 7*T1^16*T2^15 + 
      T1^8*T2^16 - 7*T1^9*T2^16 + 21*T1^10*T2^16 - 31*T1^11*T2^16 + 
      33*T1^12*T2^16 - 31*T1^13*T2^16 + 21*T1^14*T2^16 - 7*T1^15*T2^16 + 
      T1^16*T2^16))/(T1^8*T2^8)}, Knot[12, Alternating, 570] -> 
  {(2 - 15*T + 47*T^2 - 67*T^3 + 47*T^4 - 15*T^5 + 2*T^6)/T^3, 
   -((9 - 67*T1 + 209*T1^2 - 297*T1^3 + 209*T1^4 - 67*T1^5 + 9*T1^6 - 67*T2 + 
      432*T1*T2 - 1058*T1^2*T2 + 656*T1^3*T2 + 656*T1^4*T2 - 1058*T1^5*T2 + 
      432*T1^6*T2 - 67*T1^7*T2 + 209*T2^2 - 1058*T1*T2^2 + 1340*T1^2*T2^2 + 
      3244*T1^3*T2^2 - 6954*T1^4*T2^2 + 3244*T1^5*T2^2 + 1340*T1^6*T2^2 - 
      1058*T1^7*T2^2 + 209*T1^8*T2^2 - 297*T2^3 + 656*T1*T2^3 + 
      3244*T1^2*T2^3 - 15564*T1^3*T2^3 + 10902*T1^4*T2^3 + 10902*T1^5*T2^3 - 
      15564*T1^6*T2^3 + 3244*T1^7*T2^3 + 656*T1^8*T2^3 - 297*T1^9*T2^3 + 
      209*T2^4 + 656*T1*T2^4 - 6954*T1^2*T2^4 + 10902*T1^3*T2^4 + 
      29307*T1^4*T2^4 - 62673*T1^5*T2^4 + 29307*T1^6*T2^4 + 10902*T1^7*T2^4 - 
      6954*T1^8*T2^4 + 656*T1^9*T2^4 + 209*T1^10*T2^4 - 67*T2^5 - 
      1058*T1*T2^5 + 3244*T1^2*T2^5 + 10902*T1^3*T2^5 - 62673*T1^4*T2^5 + 
      44768*T1^5*T2^5 + 44768*T1^6*T2^5 - 62673*T1^7*T2^5 + 10902*T1^8*T2^5 + 
      3244*T1^9*T2^5 - 1058*T1^10*T2^5 - 67*T1^11*T2^5 + 9*T2^6 + 
      432*T1*T2^6 + 1340*T1^2*T2^6 - 15564*T1^3*T2^6 + 29307*T1^4*T2^6 + 
      44768*T1^5*T2^6 - 108840*T1^6*T2^6 + 44768*T1^7*T2^6 + 
      29307*T1^8*T2^6 - 15564*T1^9*T2^6 + 1340*T1^10*T2^6 + 432*T1^11*T2^6 + 
      9*T1^12*T2^6 - 67*T1*T2^7 - 1058*T1^2*T2^7 + 3244*T1^3*T2^7 + 
      10902*T1^4*T2^7 - 62673*T1^5*T2^7 + 44768*T1^6*T2^7 + 44768*T1^7*T2^7 - 
      62673*T1^8*T2^7 + 10902*T1^9*T2^7 + 3244*T1^10*T2^7 - 1058*T1^11*T2^7 - 
      67*T1^12*T2^7 + 209*T1^2*T2^8 + 656*T1^3*T2^8 - 6954*T1^4*T2^8 + 
      10902*T1^5*T2^8 + 29307*T1^6*T2^8 - 62673*T1^7*T2^8 + 29307*T1^8*T2^8 + 
      10902*T1^9*T2^8 - 6954*T1^10*T2^8 + 656*T1^11*T2^8 + 209*T1^12*T2^8 - 
      297*T1^3*T2^9 + 656*T1^4*T2^9 + 3244*T1^5*T2^9 - 15564*T1^6*T2^9 + 
      10902*T1^7*T2^9 + 10902*T1^8*T2^9 - 15564*T1^9*T2^9 + 3244*T1^10*T2^9 + 
      656*T1^11*T2^9 - 297*T1^12*T2^9 + 209*T1^4*T2^10 - 1058*T1^5*T2^10 + 
      1340*T1^6*T2^10 + 3244*T1^7*T2^10 - 6954*T1^8*T2^10 + 3244*T1^9*T2^10 + 
      1340*T1^10*T2^10 - 1058*T1^11*T2^10 + 209*T1^12*T2^10 - 67*T1^5*T2^11 + 
      432*T1^6*T2^11 - 1058*T1^7*T2^11 + 656*T1^8*T2^11 + 656*T1^9*T2^11 - 
      1058*T1^10*T2^11 + 432*T1^11*T2^11 - 67*T1^12*T2^11 + 9*T1^6*T2^12 - 
      67*T1^7*T2^12 + 209*T1^8*T2^12 - 297*T1^9*T2^12 + 209*T1^10*T2^12 - 
      67*T1^11*T2^12 + 9*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 571] -> 
  {-(((1 - T + T^2)^2*(2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4))/T^4), 
   -((9 - 53*T1 + 143*T1^2 - 248*T1^3 + 293*T1^4 - 248*T1^5 + 143*T1^6 - 
      53*T1^7 + 9*T1^8 - 53*T2 + 260*T1*T2 - 534*T1^2*T2 + 625*T1^3*T2 - 
      269*T1^4*T2 - 269*T1^5*T2 + 625*T1^6*T2 - 534*T1^7*T2 + 260*T1^8*T2 - 
      53*T1^9*T2 + 143*T2^2 - 534*T1*T2^2 + 580*T1^2*T2^2 + 210*T1^3*T2^2 - 
      1779*T1^4*T2^2 + 2438*T1^5*T2^2 - 1779*T1^6*T2^2 + 210*T1^7*T2^2 + 
      580*T1^8*T2^2 - 534*T1^9*T2^2 + 143*T1^10*T2^2 - 248*T2^3 + 
      625*T1*T2^3 + 210*T1^2*T2^3 - 1990*T1^3*T2^3 + 3476*T1^4*T2^3 - 
      1493*T1^5*T2^3 - 1493*T1^6*T2^3 + 3476*T1^7*T2^3 - 1990*T1^8*T2^3 + 
      210*T1^9*T2^3 + 625*T1^10*T2^3 - 248*T1^11*T2^3 + 293*T2^4 - 
      269*T1*T2^4 - 1779*T1^2*T2^4 + 3476*T1^3*T2^4 - 3215*T1^4*T2^4 - 
      1657*T1^5*T2^4 + 3251*T1^6*T2^4 - 1657*T1^7*T2^4 - 3215*T1^8*T2^4 + 
      3476*T1^9*T2^4 - 1779*T1^10*T2^4 - 269*T1^11*T2^4 + 293*T1^12*T2^4 - 
      248*T2^5 - 269*T1*T2^5 + 2438*T1^2*T2^5 - 1493*T1^3*T2^5 - 
      1657*T1^4*T2^5 + 7020*T1^5*T2^5 - 2689*T1^6*T2^5 - 2689*T1^7*T2^5 + 
      7020*T1^8*T2^5 - 1657*T1^9*T2^5 - 1493*T1^10*T2^5 + 2438*T1^11*T2^5 - 
      269*T1^12*T2^5 - 248*T1^13*T2^5 + 143*T2^6 + 625*T1*T2^6 - 
      1779*T1^2*T2^6 - 1493*T1^3*T2^6 + 3251*T1^4*T2^6 - 2689*T1^5*T2^6 - 
      9272*T1^6*T2^6 + 12336*T1^7*T2^6 - 9272*T1^8*T2^6 - 2689*T1^9*T2^6 + 
      3251*T1^10*T2^6 - 1493*T1^11*T2^6 - 1779*T1^12*T2^6 + 625*T1^13*T2^6 + 
      143*T1^14*T2^6 - 53*T2^7 - 534*T1*T2^7 + 210*T1^2*T2^7 + 
      3476*T1^3*T2^7 - 1657*T1^4*T2^7 - 2689*T1^5*T2^7 + 12336*T1^6*T2^7 - 
      4384*T1^7*T2^7 - 4384*T1^8*T2^7 + 12336*T1^9*T2^7 - 2689*T1^10*T2^7 - 
      1657*T1^11*T2^7 + 3476*T1^12*T2^7 + 210*T1^13*T2^7 - 534*T1^14*T2^7 - 
      53*T1^15*T2^7 + 9*T2^8 + 260*T1*T2^8 + 580*T1^2*T2^8 - 1990*T1^3*T2^8 - 
      3215*T1^4*T2^8 + 7020*T1^5*T2^8 - 9272*T1^6*T2^8 - 4384*T1^7*T2^8 + 
      7260*T1^8*T2^8 - 4384*T1^9*T2^8 - 9272*T1^10*T2^8 + 7020*T1^11*T2^8 - 
      3215*T1^12*T2^8 - 1990*T1^13*T2^8 + 580*T1^14*T2^8 + 260*T1^15*T2^8 + 
      9*T1^16*T2^8 - 53*T1*T2^9 - 534*T1^2*T2^9 + 210*T1^3*T2^9 + 
      3476*T1^4*T2^9 - 1657*T1^5*T2^9 - 2689*T1^6*T2^9 + 12336*T1^7*T2^9 - 
      4384*T1^8*T2^9 - 4384*T1^9*T2^9 + 12336*T1^10*T2^9 - 2689*T1^11*T2^9 - 
      1657*T1^12*T2^9 + 3476*T1^13*T2^9 + 210*T1^14*T2^9 - 534*T1^15*T2^9 - 
      53*T1^16*T2^9 + 143*T1^2*T2^10 + 625*T1^3*T2^10 - 1779*T1^4*T2^10 - 
      1493*T1^5*T2^10 + 3251*T1^6*T2^10 - 2689*T1^7*T2^10 - 9272*T1^8*T2^10 + 
      12336*T1^9*T2^10 - 9272*T1^10*T2^10 - 2689*T1^11*T2^10 + 
      3251*T1^12*T2^10 - 1493*T1^13*T2^10 - 1779*T1^14*T2^10 + 
      625*T1^15*T2^10 + 143*T1^16*T2^10 - 248*T1^3*T2^11 - 269*T1^4*T2^11 + 
      2438*T1^5*T2^11 - 1493*T1^6*T2^11 - 1657*T1^7*T2^11 + 7020*T1^8*T2^11 - 
      2689*T1^9*T2^11 - 2689*T1^10*T2^11 + 7020*T1^11*T2^11 - 
      1657*T1^12*T2^11 - 1493*T1^13*T2^11 + 2438*T1^14*T2^11 - 
      269*T1^15*T2^11 - 248*T1^16*T2^11 + 293*T1^4*T2^12 - 269*T1^5*T2^12 - 
      1779*T1^6*T2^12 + 3476*T1^7*T2^12 - 3215*T1^8*T2^12 - 1657*T1^9*T2^12 + 
      3251*T1^10*T2^12 - 1657*T1^11*T2^12 - 3215*T1^12*T2^12 + 
      3476*T1^13*T2^12 - 1779*T1^14*T2^12 - 269*T1^15*T2^12 + 
      293*T1^16*T2^12 - 248*T1^5*T2^13 + 625*T1^6*T2^13 + 210*T1^7*T2^13 - 
      1990*T1^8*T2^13 + 3476*T1^9*T2^13 - 1493*T1^10*T2^13 - 
      1493*T1^11*T2^13 + 3476*T1^12*T2^13 - 1990*T1^13*T2^13 + 
      210*T1^14*T2^13 + 625*T1^15*T2^13 - 248*T1^16*T2^13 + 143*T1^6*T2^14 - 
      534*T1^7*T2^14 + 580*T1^8*T2^14 + 210*T1^9*T2^14 - 1779*T1^10*T2^14 + 
      2438*T1^11*T2^14 - 1779*T1^12*T2^14 + 210*T1^13*T2^14 + 
      580*T1^14*T2^14 - 534*T1^15*T2^14 + 143*T1^16*T2^14 - 53*T1^7*T2^15 + 
      260*T1^8*T2^15 - 534*T1^9*T2^15 + 625*T1^10*T2^15 - 269*T1^11*T2^15 - 
      269*T1^12*T2^15 + 625*T1^13*T2^15 - 534*T1^14*T2^15 + 260*T1^15*T2^15 - 
      53*T1^16*T2^15 + 9*T1^8*T2^16 - 53*T1^9*T2^16 + 143*T1^10*T2^16 - 
      248*T1^11*T2^16 + 293*T1^12*T2^16 - 248*T1^13*T2^16 + 143*T1^14*T2^16 - 
      53*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8))}, 
 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), 
   -((9 - 40*T1 + 93*T1^2 - 155*T1^3 + 181*T1^4 - 155*T1^5 + 93*T1^6 - 
      40*T1^7 + 9*T1^8 - 40*T2 + 138*T1*T2 - 236*T1^2*T2 + 276*T1^3*T2 - 
      116*T1^4*T2 - 116*T1^5*T2 + 276*T1^6*T2 - 236*T1^7*T2 + 138*T1^8*T2 - 
      40*T1^9*T2 + 93*T2^2 - 236*T1*T2^2 + 261*T1^2*T2^2 - 164*T1^3*T2^2 - 
      267*T1^4*T2^2 + 429*T1^5*T2^2 - 267*T1^6*T2^2 - 164*T1^7*T2^2 + 
      261*T1^8*T2^2 - 236*T1^9*T2^2 + 93*T1^10*T2^2 - 155*T2^3 + 
      276*T1*T2^3 - 164*T1^2*T2^3 + 32*T1^3*T2^3 + 519*T1^4*T2^3 - 
      206*T1^5*T2^3 - 206*T1^6*T2^3 + 519*T1^7*T2^3 + 32*T1^8*T2^3 - 
      164*T1^9*T2^3 + 276*T1^10*T2^3 - 155*T1^11*T2^3 + 181*T2^4 - 
      116*T1*T2^4 - 267*T1^2*T2^4 + 519*T1^3*T2^4 - 1306*T1^4*T2^4 + 
      471*T1^5*T2^4 - 358*T1^6*T2^4 + 471*T1^7*T2^4 - 1306*T1^8*T2^4 + 
      519*T1^9*T2^4 - 267*T1^10*T2^4 - 116*T1^11*T2^4 + 181*T1^12*T2^4 - 
      155*T2^5 - 116*T1*T2^5 + 429*T1^2*T2^5 - 206*T1^3*T2^5 + 
      471*T1^4*T2^5 + 1226*T1^5*T2^5 - 375*T1^6*T2^5 - 375*T1^7*T2^5 + 
      1226*T1^8*T2^5 + 471*T1^9*T2^5 - 206*T1^10*T2^5 + 429*T1^11*T2^5 - 
      116*T1^12*T2^5 - 155*T1^13*T2^5 + 93*T2^6 + 276*T1*T2^6 - 
      267*T1^2*T2^6 - 206*T1^3*T2^6 - 358*T1^4*T2^6 - 375*T1^5*T2^6 - 
      2756*T1^6*T2^6 + 3354*T1^7*T2^6 - 2756*T1^8*T2^6 - 375*T1^9*T2^6 - 
      358*T1^10*T2^6 - 206*T1^11*T2^6 - 267*T1^12*T2^6 + 276*T1^13*T2^6 + 
      93*T1^14*T2^6 - 40*T2^7 - 236*T1*T2^7 - 164*T1^2*T2^7 + 519*T1^3*T2^7 + 
      471*T1^4*T2^7 - 375*T1^5*T2^7 + 3354*T1^6*T2^7 - 1102*T1^7*T2^7 - 
      1102*T1^8*T2^7 + 3354*T1^9*T2^7 - 375*T1^10*T2^7 + 471*T1^11*T2^7 + 
      519*T1^12*T2^7 - 164*T1^13*T2^7 - 236*T1^14*T2^7 - 40*T1^15*T2^7 + 
      9*T2^8 + 138*T1*T2^8 + 261*T1^2*T2^8 + 32*T1^3*T2^8 - 1306*T1^4*T2^8 + 
      1226*T1^5*T2^8 - 2756*T1^6*T2^8 - 1102*T1^7*T2^8 + 1752*T1^8*T2^8 - 
      1102*T1^9*T2^8 - 2756*T1^10*T2^8 + 1226*T1^11*T2^8 - 1306*T1^12*T2^8 + 
      32*T1^13*T2^8 + 261*T1^14*T2^8 + 138*T1^15*T2^8 + 9*T1^16*T2^8 - 
      40*T1*T2^9 - 236*T1^2*T2^9 - 164*T1^3*T2^9 + 519*T1^4*T2^9 + 
      471*T1^5*T2^9 - 375*T1^6*T2^9 + 3354*T1^7*T2^9 - 1102*T1^8*T2^9 - 
      1102*T1^9*T2^9 + 3354*T1^10*T2^9 - 375*T1^11*T2^9 + 471*T1^12*T2^9 + 
      519*T1^13*T2^9 - 164*T1^14*T2^9 - 236*T1^15*T2^9 - 40*T1^16*T2^9 + 
      93*T1^2*T2^10 + 276*T1^3*T2^10 - 267*T1^4*T2^10 - 206*T1^5*T2^10 - 
      358*T1^6*T2^10 - 375*T1^7*T2^10 - 2756*T1^8*T2^10 + 3354*T1^9*T2^10 - 
      2756*T1^10*T2^10 - 375*T1^11*T2^10 - 358*T1^12*T2^10 - 
      206*T1^13*T2^10 - 267*T1^14*T2^10 + 276*T1^15*T2^10 + 93*T1^16*T2^10 - 
      155*T1^3*T2^11 - 116*T1^4*T2^11 + 429*T1^5*T2^11 - 206*T1^6*T2^11 + 
      471*T1^7*T2^11 + 1226*T1^8*T2^11 - 375*T1^9*T2^11 - 375*T1^10*T2^11 + 
      1226*T1^11*T2^11 + 471*T1^12*T2^11 - 206*T1^13*T2^11 + 
      429*T1^14*T2^11 - 116*T1^15*T2^11 - 155*T1^16*T2^11 + 181*T1^4*T2^12 - 
      116*T1^5*T2^12 - 267*T1^6*T2^12 + 519*T1^7*T2^12 - 1306*T1^8*T2^12 + 
      471*T1^9*T2^12 - 358*T1^10*T2^12 + 471*T1^11*T2^12 - 1306*T1^12*T2^12 + 
      519*T1^13*T2^12 - 267*T1^14*T2^12 - 116*T1^15*T2^12 + 181*T1^16*T2^12 - 
      155*T1^5*T2^13 + 276*T1^6*T2^13 - 164*T1^7*T2^13 + 32*T1^8*T2^13 + 
      519*T1^9*T2^13 - 206*T1^10*T2^13 - 206*T1^11*T2^13 + 519*T1^12*T2^13 + 
      32*T1^13*T2^13 - 164*T1^14*T2^13 + 276*T1^15*T2^13 - 155*T1^16*T2^13 + 
      93*T1^6*T2^14 - 236*T1^7*T2^14 + 261*T1^8*T2^14 - 164*T1^9*T2^14 - 
      267*T1^10*T2^14 + 429*T1^11*T2^14 - 267*T1^12*T2^14 - 164*T1^13*T2^14 + 
      261*T1^14*T2^14 - 236*T1^15*T2^14 + 93*T1^16*T2^14 - 40*T1^7*T2^15 + 
      138*T1^8*T2^15 - 236*T1^9*T2^15 + 276*T1^10*T2^15 - 116*T1^11*T2^15 - 
      116*T1^12*T2^15 + 276*T1^13*T2^15 - 236*T1^14*T2^15 + 138*T1^15*T2^15 - 
      40*T1^16*T2^15 + 9*T1^8*T2^16 - 40*T1^9*T2^16 + 93*T1^10*T2^16 - 
      155*T1^11*T2^16 + 181*T1^12*T2^16 - 155*T1^13*T2^16 + 93*T1^14*T2^16 - 
      40*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8))}, 
 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), (7 - 32*T1 + 67*T1^2 - 93*T1^3 + 99*T1^4 - 93*T1^5 + 67*T1^6 - 
     32*T1^7 + 7*T1^8 - 32*T2 + 114*T1*T2 - 160*T1^2*T2 + 120*T1^3*T2 - 
     28*T1^4*T2 - 28*T1^5*T2 + 120*T1^6*T2 - 160*T1^7*T2 + 114*T1^8*T2 - 
     32*T1^9*T2 + 67*T2^2 - 160*T1*T2^2 + 35*T1^2*T2^2 + 237*T1^3*T2^2 - 
     439*T1^4*T2^2 + 403*T1^5*T2^2 - 439*T1^6*T2^2 + 237*T1^7*T2^2 + 
     35*T1^8*T2^2 - 160*T1^9*T2^2 + 67*T1^10*T2^2 - 93*T2^3 + 120*T1*T2^3 + 
     237*T1^2*T2^3 - 534*T1^3*T2^3 + 461*T1^4*T2^3 - 42*T1^5*T2^3 - 
     42*T1^6*T2^3 + 461*T1^7*T2^3 - 534*T1^8*T2^3 + 237*T1^9*T2^3 + 
     120*T1^10*T2^3 - 93*T1^11*T2^3 + 99*T2^4 - 28*T1*T2^4 - 439*T1^2*T2^4 + 
     461*T1^3*T2^4 + 13*T1^4*T2^4 - 547*T1^5*T2^4 + 365*T1^6*T2^4 - 
     547*T1^7*T2^4 + 13*T1^8*T2^4 + 461*T1^9*T2^4 - 439*T1^10*T2^4 - 
     28*T1^11*T2^4 + 99*T1^12*T2^4 - 93*T2^5 - 28*T1*T2^5 + 403*T1^2*T2^5 - 
     42*T1^3*T2^5 - 547*T1^4*T2^5 + 670*T1^5*T2^5 - 41*T1^6*T2^5 - 
     41*T1^7*T2^5 + 670*T1^8*T2^5 - 547*T1^9*T2^5 - 42*T1^10*T2^5 + 
     403*T1^11*T2^5 - 28*T1^12*T2^5 - 93*T1^13*T2^5 + 67*T2^6 + 120*T1*T2^6 - 
     439*T1^2*T2^6 - 42*T1^3*T2^6 + 365*T1^4*T2^6 - 41*T1^5*T2^6 - 
     536*T1^6*T2^6 + 412*T1^7*T2^6 - 536*T1^8*T2^6 - 41*T1^9*T2^6 + 
     365*T1^10*T2^6 - 42*T1^11*T2^6 - 439*T1^12*T2^6 + 120*T1^13*T2^6 + 
     67*T1^14*T2^6 - 32*T2^7 - 160*T1*T2^7 + 237*T1^2*T2^7 + 461*T1^3*T2^7 - 
     547*T1^4*T2^7 - 41*T1^5*T2^7 + 412*T1^6*T2^7 - 100*T1^7*T2^7 - 
     100*T1^8*T2^7 + 412*T1^9*T2^7 - 41*T1^10*T2^7 - 547*T1^11*T2^7 + 
     461*T1^12*T2^7 + 237*T1^13*T2^7 - 160*T1^14*T2^7 - 32*T1^15*T2^7 + 
     7*T2^8 + 114*T1*T2^8 + 35*T1^2*T2^8 - 534*T1^3*T2^8 + 13*T1^4*T2^8 + 
     670*T1^5*T2^8 - 536*T1^6*T2^8 - 100*T1^7*T2^8 + 276*T1^8*T2^8 - 
     100*T1^9*T2^8 - 536*T1^10*T2^8 + 670*T1^11*T2^8 + 13*T1^12*T2^8 - 
     534*T1^13*T2^8 + 35*T1^14*T2^8 + 114*T1^15*T2^8 + 7*T1^16*T2^8 - 
     32*T1*T2^9 - 160*T1^2*T2^9 + 237*T1^3*T2^9 + 461*T1^4*T2^9 - 
     547*T1^5*T2^9 - 41*T1^6*T2^9 + 412*T1^7*T2^9 - 100*T1^8*T2^9 - 
     100*T1^9*T2^9 + 412*T1^10*T2^9 - 41*T1^11*T2^9 - 547*T1^12*T2^9 + 
     461*T1^13*T2^9 + 237*T1^14*T2^9 - 160*T1^15*T2^9 - 32*T1^16*T2^9 + 
     67*T1^2*T2^10 + 120*T1^3*T2^10 - 439*T1^4*T2^10 - 42*T1^5*T2^10 + 
     365*T1^6*T2^10 - 41*T1^7*T2^10 - 536*T1^8*T2^10 + 412*T1^9*T2^10 - 
     536*T1^10*T2^10 - 41*T1^11*T2^10 + 365*T1^12*T2^10 - 42*T1^13*T2^10 - 
     439*T1^14*T2^10 + 120*T1^15*T2^10 + 67*T1^16*T2^10 - 93*T1^3*T2^11 - 
     28*T1^4*T2^11 + 403*T1^5*T2^11 - 42*T1^6*T2^11 - 547*T1^7*T2^11 + 
     670*T1^8*T2^11 - 41*T1^9*T2^11 - 41*T1^10*T2^11 + 670*T1^11*T2^11 - 
     547*T1^12*T2^11 - 42*T1^13*T2^11 + 403*T1^14*T2^11 - 28*T1^15*T2^11 - 
     93*T1^16*T2^11 + 99*T1^4*T2^12 - 28*T1^5*T2^12 - 439*T1^6*T2^12 + 
     461*T1^7*T2^12 + 13*T1^8*T2^12 - 547*T1^9*T2^12 + 365*T1^10*T2^12 - 
     547*T1^11*T2^12 + 13*T1^12*T2^12 + 461*T1^13*T2^12 - 439*T1^14*T2^12 - 
     28*T1^15*T2^12 + 99*T1^16*T2^12 - 93*T1^5*T2^13 + 120*T1^6*T2^13 + 
     237*T1^7*T2^13 - 534*T1^8*T2^13 + 461*T1^9*T2^13 - 42*T1^10*T2^13 - 
     42*T1^11*T2^13 + 461*T1^12*T2^13 - 534*T1^13*T2^13 + 237*T1^14*T2^13 + 
     120*T1^15*T2^13 - 93*T1^16*T2^13 + 67*T1^6*T2^14 - 160*T1^7*T2^14 + 
     35*T1^8*T2^14 + 237*T1^9*T2^14 - 439*T1^10*T2^14 + 403*T1^11*T2^14 - 
     439*T1^12*T2^14 + 237*T1^13*T2^14 + 35*T1^14*T2^14 - 160*T1^15*T2^14 + 
     67*T1^16*T2^14 - 32*T1^7*T2^15 + 114*T1^8*T2^15 - 160*T1^9*T2^15 + 
     120*T1^10*T2^15 - 28*T1^11*T2^15 - 28*T1^12*T2^15 + 120*T1^13*T2^15 - 
     160*T1^14*T2^15 + 114*T1^15*T2^15 - 32*T1^16*T2^15 + 7*T1^8*T2^16 - 
     32*T1^9*T2^16 + 67*T1^10*T2^16 - 93*T1^11*T2^16 + 99*T1^12*T2^16 - 
     93*T1^13*T2^16 + 67*T1^14*T2^16 - 32*T1^15*T2^16 + 7*T1^16*T2^16)/
    (T1^8*T2^8)}, 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)*
     (111 - 216*T1 + 251*T1^2 - 253*T1^3 + 251*T1^4 - 216*T1^5 + 111*T1^6 - 
      216*T2 + 210*T1*T2 - 70*T1^2*T2 + 2*T1^3*T2 + 2*T1^4*T2 - 70*T1^5*T2 + 
      210*T1^6*T2 - 216*T1^7*T2 + 251*T2^2 - 70*T1*T2^2 - 65*T1^2*T2^2 - 
      15*T1^3*T2^2 + 95*T1^4*T2^2 - 15*T1^5*T2^2 - 65*T1^6*T2^2 - 
      70*T1^7*T2^2 + 251*T1^8*T2^2 - 253*T2^3 + 2*T1*T2^3 - 15*T1^2*T2^3 + 
      112*T1^3*T2^3 - 73*T1^4*T2^3 - 73*T1^5*T2^3 + 112*T1^6*T2^3 - 
      15*T1^7*T2^3 + 2*T1^8*T2^3 - 253*T1^9*T2^3 + 251*T2^4 + 2*T1*T2^4 + 
      95*T1^2*T2^4 - 73*T1^3*T2^4 + 13*T1^4*T2^4 + 23*T1^5*T2^4 + 
      13*T1^6*T2^4 - 73*T1^7*T2^4 + 95*T1^8*T2^4 + 2*T1^9*T2^4 + 
      251*T1^10*T2^4 - 216*T2^5 - 70*T1*T2^5 - 15*T1^2*T2^5 - 73*T1^3*T2^5 + 
      23*T1^4*T2^5 + 2*T1^5*T2^5 + 2*T1^6*T2^5 + 23*T1^7*T2^5 - 
      73*T1^8*T2^5 - 15*T1^9*T2^5 - 70*T1^10*T2^5 - 216*T1^11*T2^5 + 
      111*T2^6 + 210*T1*T2^6 - 65*T1^2*T2^6 + 112*T1^3*T2^6 + 13*T1^4*T2^6 + 
      2*T1^5*T2^6 - 36*T1^6*T2^6 + 2*T1^7*T2^6 + 13*T1^8*T2^6 + 
      112*T1^9*T2^6 - 65*T1^10*T2^6 + 210*T1^11*T2^6 + 111*T1^12*T2^6 - 
      216*T1*T2^7 - 70*T1^2*T2^7 - 15*T1^3*T2^7 - 73*T1^4*T2^7 + 
      23*T1^5*T2^7 + 2*T1^6*T2^7 + 2*T1^7*T2^7 + 23*T1^8*T2^7 - 
      73*T1^9*T2^7 - 15*T1^10*T2^7 - 70*T1^11*T2^7 - 216*T1^12*T2^7 + 
      251*T1^2*T2^8 + 2*T1^3*T2^8 + 95*T1^4*T2^8 - 73*T1^5*T2^8 + 
      13*T1^6*T2^8 + 23*T1^7*T2^8 + 13*T1^8*T2^8 - 73*T1^9*T2^8 + 
      95*T1^10*T2^8 + 2*T1^11*T2^8 + 251*T1^12*T2^8 - 253*T1^3*T2^9 + 
      2*T1^4*T2^9 - 15*T1^5*T2^9 + 112*T1^6*T2^9 - 73*T1^7*T2^9 - 
      73*T1^8*T2^9 + 112*T1^9*T2^9 - 15*T1^10*T2^9 + 2*T1^11*T2^9 - 
      253*T1^12*T2^9 + 251*T1^4*T2^10 - 70*T1^5*T2^10 - 65*T1^6*T2^10 - 
      15*T1^7*T2^10 + 95*T1^8*T2^10 - 15*T1^9*T2^10 - 65*T1^10*T2^10 - 
      70*T1^11*T2^10 + 251*T1^12*T2^10 - 216*T1^5*T2^11 + 210*T1^6*T2^11 - 
      70*T1^7*T2^11 + 2*T1^8*T2^11 + 2*T1^9*T2^11 - 70*T1^10*T2^11 + 
      210*T1^11*T2^11 - 216*T1^12*T2^11 + 111*T1^6*T2^12 - 216*T1^7*T2^12 + 
      251*T1^8*T2^12 - 253*T1^9*T2^12 + 251*T1^10*T2^12 - 216*T1^11*T2^12 + 
      111*T1^12*T2^12))/(T1^8*T2^8)}, Knot[12, Alternating, 575] -> 
  {((1 - T + T^2)*(6 - 15*T + 19*T^2 - 15*T^3 + 6*T^4))/T^3, 
   (699 - 2385*T1 + 4496*T1^2 - 5491*T1^3 + 4496*T1^4 - 2385*T1^5 + 
     699*T1^6 - 2385*T2 + 5802*T1*T2 - 7285*T1^2*T2 + 3437*T1^3*T2 + 
     3437*T1^4*T2 - 7285*T1^5*T2 + 5802*T1^6*T2 - 2385*T1^7*T2 + 4496*T2^2 - 
     7285*T1*T2^2 + 5209*T1^2*T2^2 + 3060*T1^3*T2^2 - 7963*T1^4*T2^2 + 
     3060*T1^5*T2^2 + 5209*T1^6*T2^2 - 7285*T1^7*T2^2 + 4496*T1^8*T2^2 - 
     5491*T2^3 + 3437*T1*T2^3 + 3060*T1^2*T2^3 - 11000*T1^3*T2^3 + 
     6464*T1^4*T2^3 + 6464*T1^5*T2^3 - 11000*T1^6*T2^3 + 3060*T1^7*T2^3 + 
     3437*T1^8*T2^3 - 5491*T1^9*T2^3 + 4496*T2^4 + 3437*T1*T2^4 - 
     7963*T1^2*T2^4 + 6464*T1^3*T2^4 + 9847*T1^4*T2^4 - 20121*T1^5*T2^4 + 
     9847*T1^6*T2^4 + 6464*T1^7*T2^4 - 7963*T1^8*T2^4 + 3437*T1^9*T2^4 + 
     4496*T1^10*T2^4 - 2385*T2^5 - 7285*T1*T2^5 + 3060*T1^2*T2^5 + 
     6464*T1^3*T2^5 - 20121*T1^4*T2^5 + 11662*T1^5*T2^5 + 11662*T1^6*T2^5 - 
     20121*T1^7*T2^5 + 6464*T1^8*T2^5 + 3060*T1^9*T2^5 - 7285*T1^10*T2^5 - 
     2385*T1^11*T2^5 + 699*T2^6 + 5802*T1*T2^6 + 5209*T1^2*T2^6 - 
     11000*T1^3*T2^6 + 9847*T1^4*T2^6 + 11662*T1^5*T2^6 - 25308*T1^6*T2^6 + 
     11662*T1^7*T2^6 + 9847*T1^8*T2^6 - 11000*T1^9*T2^6 + 5209*T1^10*T2^6 + 
     5802*T1^11*T2^6 + 699*T1^12*T2^6 - 2385*T1*T2^7 - 7285*T1^2*T2^7 + 
     3060*T1^3*T2^7 + 6464*T1^4*T2^7 - 20121*T1^5*T2^7 + 11662*T1^6*T2^7 + 
     11662*T1^7*T2^7 - 20121*T1^8*T2^7 + 6464*T1^9*T2^7 + 3060*T1^10*T2^7 - 
     7285*T1^11*T2^7 - 2385*T1^12*T2^7 + 4496*T1^2*T2^8 + 3437*T1^3*T2^8 - 
     7963*T1^4*T2^8 + 6464*T1^5*T2^8 + 9847*T1^6*T2^8 - 20121*T1^7*T2^8 + 
     9847*T1^8*T2^8 + 6464*T1^9*T2^8 - 7963*T1^10*T2^8 + 3437*T1^11*T2^8 + 
     4496*T1^12*T2^8 - 5491*T1^3*T2^9 + 3437*T1^4*T2^9 + 3060*T1^5*T2^9 - 
     11000*T1^6*T2^9 + 6464*T1^7*T2^9 + 6464*T1^8*T2^9 - 11000*T1^9*T2^9 + 
     3060*T1^10*T2^9 + 3437*T1^11*T2^9 - 5491*T1^12*T2^9 + 4496*T1^4*T2^10 - 
     7285*T1^5*T2^10 + 5209*T1^6*T2^10 + 3060*T1^7*T2^10 - 7963*T1^8*T2^10 + 
     3060*T1^9*T2^10 + 5209*T1^10*T2^10 - 7285*T1^11*T2^10 + 
     4496*T1^12*T2^10 - 2385*T1^5*T2^11 + 5802*T1^6*T2^11 - 7285*T1^7*T2^11 + 
     3437*T1^8*T2^11 + 3437*T1^9*T2^11 - 7285*T1^10*T2^11 + 
     5802*T1^11*T2^11 - 2385*T1^12*T2^11 + 699*T1^6*T2^12 - 2385*T1^7*T2^12 + 
     4496*T1^8*T2^12 - 5491*T1^9*T2^12 + 4496*T1^10*T2^12 - 
     2385*T1^11*T2^12 + 699*T1^12*T2^12)/(T1^6*T2^6)}, 
 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)*
      (3 - 6*T1 + 9*T1^2 - 9*T1^3 + 9*T1^4 - 9*T1^5 + 9*T1^6 - 6*T1^7 + 
       3*T1^8 - 6*T2 + 6*T1*T2 - 6*T1^2*T2 - 6*T1^7*T2 + 6*T1^8*T2 - 
       6*T1^9*T2 + 9*T2^2 - 6*T1*T2^2 + 11*T1^2*T2^2 - 5*T1^3*T2^2 + 
       13*T1^4*T2^2 - 15*T1^5*T2^2 + 13*T1^6*T2^2 - 5*T1^7*T2^2 + 
       11*T1^8*T2^2 - 6*T1^9*T2^2 + 9*T1^10*T2^2 - 9*T2^3 - 5*T1^2*T2^3 - 
       4*T1^3*T2^3 - 7*T1^4*T2^3 + 2*T1^5*T2^3 + 2*T1^6*T2^3 - 7*T1^7*T2^3 - 
       4*T1^8*T2^3 - 5*T1^9*T2^3 - 9*T1^11*T2^3 + 9*T2^4 + 13*T1^2*T2^4 - 
       7*T1^3*T2^4 + 22*T1^4*T2^4 - 13*T1^5*T2^4 + 14*T1^6*T2^4 - 
       13*T1^7*T2^4 + 22*T1^8*T2^4 - 7*T1^9*T2^4 + 13*T1^10*T2^4 + 
       9*T1^12*T2^4 - 9*T2^5 - 15*T1^2*T2^5 + 2*T1^3*T2^5 - 13*T1^4*T2^5 - 
       2*T1^5*T2^5 - 2*T1^6*T2^5 - 2*T1^7*T2^5 - 2*T1^8*T2^5 - 13*T1^9*T2^5 + 
       2*T1^10*T2^5 - 15*T1^11*T2^5 - 9*T1^13*T2^5 + 9*T2^6 + 13*T1^2*T2^6 + 
       2*T1^3*T2^6 + 14*T1^4*T2^6 - 2*T1^5*T2^6 + 7*T1^6*T2^6 - T1^7*T2^6 + 
       7*T1^8*T2^6 - 2*T1^9*T2^6 + 14*T1^10*T2^6 + 2*T1^11*T2^6 + 
       13*T1^12*T2^6 + 9*T1^14*T2^6 - 6*T2^7 - 6*T1*T2^7 - 5*T1^2*T2^7 - 
       7*T1^3*T2^7 - 13*T1^4*T2^7 - 2*T1^5*T2^7 - T1^6*T2^7 - 4*T1^7*T2^7 - 
       4*T1^8*T2^7 - T1^9*T2^7 - 2*T1^10*T2^7 - 13*T1^11*T2^7 - 
       7*T1^12*T2^7 - 5*T1^13*T2^7 - 6*T1^14*T2^7 - 6*T1^15*T2^7 + 3*T2^8 + 
       6*T1*T2^8 + 11*T1^2*T2^8 - 4*T1^3*T2^8 + 22*T1^4*T2^8 - 2*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 - 2*T1^11*T2^8 + 22*T1^12*T2^8 - 4*T1^13*T2^8 + 
       11*T1^14*T2^8 + 6*T1^15*T2^8 + 3*T1^16*T2^8 - 6*T1*T2^9 - 
       6*T1^2*T2^9 - 5*T1^3*T2^9 - 7*T1^4*T2^9 - 13*T1^5*T2^9 - 2*T1^6*T2^9 - 
       T1^7*T2^9 - 4*T1^8*T2^9 - 4*T1^9*T2^9 - T1^10*T2^9 - 2*T1^11*T2^9 - 
       13*T1^12*T2^9 - 7*T1^13*T2^9 - 5*T1^14*T2^9 - 6*T1^15*T2^9 - 
       6*T1^16*T2^9 + 9*T1^2*T2^10 + 13*T1^4*T2^10 + 2*T1^5*T2^10 + 
       14*T1^6*T2^10 - 2*T1^7*T2^10 + 7*T1^8*T2^10 - T1^9*T2^10 + 
       7*T1^10*T2^10 - 2*T1^11*T2^10 + 14*T1^12*T2^10 + 2*T1^13*T2^10 + 
       13*T1^14*T2^10 + 9*T1^16*T2^10 - 9*T1^3*T2^11 - 15*T1^5*T2^11 + 
       2*T1^6*T2^11 - 13*T1^7*T2^11 - 2*T1^8*T2^11 - 2*T1^9*T2^11 - 
       2*T1^10*T2^11 - 2*T1^11*T2^11 - 13*T1^12*T2^11 + 2*T1^13*T2^11 - 
       15*T1^14*T2^11 - 9*T1^16*T2^11 + 9*T1^4*T2^12 + 13*T1^6*T2^12 - 
       7*T1^7*T2^12 + 22*T1^8*T2^12 - 13*T1^9*T2^12 + 14*T1^10*T2^12 - 
       13*T1^11*T2^12 + 22*T1^12*T2^12 - 7*T1^13*T2^12 + 13*T1^14*T2^12 + 
       9*T1^16*T2^12 - 9*T1^5*T2^13 - 5*T1^7*T2^13 - 4*T1^8*T2^13 - 
       7*T1^9*T2^13 + 2*T1^10*T2^13 + 2*T1^11*T2^13 - 7*T1^12*T2^13 - 
       4*T1^13*T2^13 - 5*T1^14*T2^13 - 9*T1^16*T2^13 + 9*T1^6*T2^14 - 
       6*T1^7*T2^14 + 11*T1^8*T2^14 - 5*T1^9*T2^14 + 13*T1^10*T2^14 - 
       15*T1^11*T2^14 + 13*T1^12*T2^14 - 5*T1^13*T2^14 + 11*T1^14*T2^14 - 
       6*T1^15*T2^14 + 9*T1^16*T2^14 - 6*T1^7*T2^15 + 6*T1^8*T2^15 - 
       6*T1^9*T2^15 - 6*T1^14*T2^15 + 6*T1^15*T2^15 - 6*T1^16*T2^15 + 
       3*T1^8*T2^16 - 6*T1^9*T2^16 + 9*T1^10*T2^16 - 9*T1^11*T2^16 + 
       9*T1^12*T2^16 - 9*T1^13*T2^16 + 9*T1^14*T2^16 - 6*T1^15*T2^16 + 
       3*T1^16*T2^16))/(T1^10*T2^10))}, Knot[12, Alternating, 577] -> 
  {((1 - T + T^2)^2*(2 - 3*T + 3*T^2 - 3*T^3 + 2*T^4))/T^4, 
   -((17 - 59*T1 + 126*T1^2 - 184*T1^3 + 209*T1^4 - 184*T1^5 + 126*T1^6 - 
      59*T1^7 + 17*T1^8 - 59*T2 + 146*T1*T2 - 233*T1^2*T2 + 202*T1^3*T2 - 
      87*T1^4*T2 - 87*T1^5*T2 + 202*T1^6*T2 - 233*T1^7*T2 + 146*T1^8*T2 - 
      59*T1^9*T2 + 126*T2^2 - 233*T1*T2^2 + 341*T1^2*T2^2 - 238*T1^3*T2^2 + 
      166*T1^4*T2^2 - 89*T1^5*T2^2 + 166*T1^6*T2^2 - 238*T1^7*T2^2 + 
      341*T1^8*T2^2 - 233*T1^9*T2^2 + 126*T1^10*T2^2 - 184*T2^3 + 
      202*T1*T2^3 - 238*T1^2*T2^3 - 52*T1^3*T2^3 + 56*T1^4*T2^3 - 
      86*T1^5*T2^3 - 86*T1^6*T2^3 + 56*T1^7*T2^3 - 52*T1^8*T2^3 - 
      238*T1^9*T2^3 + 202*T1^10*T2^3 - 184*T1^11*T2^3 + 209*T2^4 - 
      87*T1*T2^4 + 166*T1^2*T2^4 + 56*T1^3*T2^4 + 393*T1^4*T2^4 - 
      551*T1^5*T2^4 + 809*T1^6*T2^4 - 551*T1^7*T2^4 + 393*T1^8*T2^4 + 
      56*T1^9*T2^4 + 166*T1^10*T2^4 - 87*T1^11*T2^4 + 209*T1^12*T2^4 - 
      184*T2^5 - 87*T1*T2^5 - 89*T1^2*T2^5 - 86*T1^3*T2^5 - 551*T1^4*T2^5 + 
      344*T1^5*T2^5 - 286*T1^6*T2^5 - 286*T1^7*T2^5 + 344*T1^8*T2^5 - 
      551*T1^9*T2^5 - 86*T1^10*T2^5 - 89*T1^11*T2^5 - 87*T1^12*T2^5 - 
      184*T1^13*T2^5 + 126*T2^6 + 202*T1*T2^6 + 166*T1^2*T2^6 - 
      86*T1^3*T2^6 + 809*T1^4*T2^6 - 286*T1^5*T2^6 + 308*T1^6*T2^6 + 
      56*T1^7*T2^6 + 308*T1^8*T2^6 - 286*T1^9*T2^6 + 809*T1^10*T2^6 - 
      86*T1^11*T2^6 + 166*T1^12*T2^6 + 202*T1^13*T2^6 + 126*T1^14*T2^6 - 
      59*T2^7 - 233*T1*T2^7 - 238*T1^2*T2^7 + 56*T1^3*T2^7 - 551*T1^4*T2^7 - 
      286*T1^5*T2^7 + 56*T1^6*T2^7 - 242*T1^7*T2^7 - 242*T1^8*T2^7 + 
      56*T1^9*T2^7 - 286*T1^10*T2^7 - 551*T1^11*T2^7 + 56*T1^12*T2^7 - 
      238*T1^13*T2^7 - 233*T1^14*T2^7 - 59*T1^15*T2^7 + 17*T2^8 + 
      146*T1*T2^8 + 341*T1^2*T2^8 - 52*T1^3*T2^8 + 393*T1^4*T2^8 + 
      344*T1^5*T2^8 + 308*T1^6*T2^8 - 242*T1^7*T2^8 + 648*T1^8*T2^8 - 
      242*T1^9*T2^8 + 308*T1^10*T2^8 + 344*T1^11*T2^8 + 393*T1^12*T2^8 - 
      52*T1^13*T2^8 + 341*T1^14*T2^8 + 146*T1^15*T2^8 + 17*T1^16*T2^8 - 
      59*T1*T2^9 - 233*T1^2*T2^9 - 238*T1^3*T2^9 + 56*T1^4*T2^9 - 
      551*T1^5*T2^9 - 286*T1^6*T2^9 + 56*T1^7*T2^9 - 242*T1^8*T2^9 - 
      242*T1^9*T2^9 + 56*T1^10*T2^9 - 286*T1^11*T2^9 - 551*T1^12*T2^9 + 
      56*T1^13*T2^9 - 238*T1^14*T2^9 - 233*T1^15*T2^9 - 59*T1^16*T2^9 + 
      126*T1^2*T2^10 + 202*T1^3*T2^10 + 166*T1^4*T2^10 - 86*T1^5*T2^10 + 
      809*T1^6*T2^10 - 286*T1^7*T2^10 + 308*T1^8*T2^10 + 56*T1^9*T2^10 + 
      308*T1^10*T2^10 - 286*T1^11*T2^10 + 809*T1^12*T2^10 - 86*T1^13*T2^10 + 
      166*T1^14*T2^10 + 202*T1^15*T2^10 + 126*T1^16*T2^10 - 184*T1^3*T2^11 - 
      87*T1^4*T2^11 - 89*T1^5*T2^11 - 86*T1^6*T2^11 - 551*T1^7*T2^11 + 
      344*T1^8*T2^11 - 286*T1^9*T2^11 - 286*T1^10*T2^11 + 344*T1^11*T2^11 - 
      551*T1^12*T2^11 - 86*T1^13*T2^11 - 89*T1^14*T2^11 - 87*T1^15*T2^11 - 
      184*T1^16*T2^11 + 209*T1^4*T2^12 - 87*T1^5*T2^12 + 166*T1^6*T2^12 + 
      56*T1^7*T2^12 + 393*T1^8*T2^12 - 551*T1^9*T2^12 + 809*T1^10*T2^12 - 
      551*T1^11*T2^12 + 393*T1^12*T2^12 + 56*T1^13*T2^12 + 166*T1^14*T2^12 - 
      87*T1^15*T2^12 + 209*T1^16*T2^12 - 184*T1^5*T2^13 + 202*T1^6*T2^13 - 
      238*T1^7*T2^13 - 52*T1^8*T2^13 + 56*T1^9*T2^13 - 86*T1^10*T2^13 - 
      86*T1^11*T2^13 + 56*T1^12*T2^13 - 52*T1^13*T2^13 - 238*T1^14*T2^13 + 
      202*T1^15*T2^13 - 184*T1^16*T2^13 + 126*T1^6*T2^14 - 233*T1^7*T2^14 + 
      341*T1^8*T2^14 - 238*T1^9*T2^14 + 166*T1^10*T2^14 - 89*T1^11*T2^14 + 
      166*T1^12*T2^14 - 238*T1^13*T2^14 + 341*T1^14*T2^14 - 233*T1^15*T2^14 + 
      126*T1^16*T2^14 - 59*T1^7*T2^15 + 146*T1^8*T2^15 - 233*T1^9*T2^15 + 
      202*T1^10*T2^15 - 87*T1^11*T2^15 - 87*T1^12*T2^15 + 202*T1^13*T2^15 - 
      233*T1^14*T2^15 + 146*T1^15*T2^15 - 59*T1^16*T2^15 + 17*T1^8*T2^16 - 
      59*T1^9*T2^16 + 126*T1^10*T2^16 - 184*T1^11*T2^16 + 209*T1^12*T2^16 - 
      184*T1^13*T2^16 + 126*T1^14*T2^16 - 59*T1^15*T2^16 + 17*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 578] -> 
  {((1 - T + T^2)^2*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^4, 
   -((17 - 67*T1 + 158*T1^2 - 248*T1^3 + 289*T1^4 - 248*T1^5 + 158*T1^6 - 
      67*T1^7 + 17*T1^8 - 67*T2 + 198*T1*T2 - 361*T1^2*T2 + 358*T1^3*T2 - 
      163*T1^4*T2 - 163*T1^5*T2 + 358*T1^6*T2 - 361*T1^7*T2 + 198*T1^8*T2 - 
      67*T1^9*T2 + 158*T2^2 - 361*T1*T2^2 + 578*T1^2*T2^2 - 421*T1^3*T2^2 + 
      180*T1^4*T2^2 + 28*T1^5*T2^2 + 180*T1^6*T2^2 - 421*T1^7*T2^2 + 
      578*T1^8*T2^2 - 361*T1^9*T2^2 + 158*T1^10*T2^2 - 248*T2^3 + 
      358*T1*T2^3 - 421*T1^2*T2^3 - 138*T1^3*T2^3 + 311*T1^4*T2^3 - 
      287*T1^5*T2^3 - 287*T1^6*T2^3 + 311*T1^7*T2^3 - 138*T1^8*T2^3 - 
      421*T1^9*T2^3 + 358*T1^10*T2^3 - 248*T1^11*T2^3 + 289*T2^4 - 
      163*T1*T2^4 + 180*T1^2*T2^4 + 311*T1^3*T2^4 + 531*T1^4*T2^4 - 
      1249*T1^5*T2^4 + 2051*T1^6*T2^4 - 1249*T1^7*T2^4 + 531*T1^8*T2^4 + 
      311*T1^9*T2^4 + 180*T1^10*T2^4 - 163*T1^11*T2^4 + 289*T1^12*T2^4 - 
      248*T2^5 - 163*T1*T2^5 + 28*T1^2*T2^5 - 287*T1^3*T2^5 - 
      1249*T1^4*T2^5 + 1296*T1^5*T2^5 - 993*T1^6*T2^5 - 993*T1^7*T2^5 + 
      1296*T1^8*T2^5 - 1249*T1^9*T2^5 - 287*T1^10*T2^5 + 28*T1^11*T2^5 - 
      163*T1^12*T2^5 - 248*T1^13*T2^5 + 158*T2^6 + 358*T1*T2^6 + 
      180*T1^2*T2^6 - 287*T1^3*T2^6 + 2051*T1^4*T2^6 - 993*T1^5*T2^6 + 
      358*T1^6*T2^6 + 1056*T1^7*T2^6 + 358*T1^8*T2^6 - 993*T1^9*T2^6 + 
      2051*T1^10*T2^6 - 287*T1^11*T2^6 + 180*T1^12*T2^6 + 358*T1^13*T2^6 + 
      158*T1^14*T2^6 - 67*T2^7 - 361*T1*T2^7 - 421*T1^2*T2^7 + 
      311*T1^3*T2^7 - 1249*T1^4*T2^7 - 993*T1^5*T2^7 + 1056*T1^6*T2^7 - 
      1198*T1^7*T2^7 - 1198*T1^8*T2^7 + 1056*T1^9*T2^7 - 993*T1^10*T2^7 - 
      1249*T1^11*T2^7 + 311*T1^12*T2^7 - 421*T1^13*T2^7 - 361*T1^14*T2^7 - 
      67*T1^15*T2^7 + 17*T2^8 + 198*T1*T2^8 + 578*T1^2*T2^8 - 138*T1^3*T2^8 + 
      531*T1^4*T2^8 + 1296*T1^5*T2^8 + 358*T1^6*T2^8 - 1198*T1^7*T2^8 + 
      2988*T1^8*T2^8 - 1198*T1^9*T2^8 + 358*T1^10*T2^8 + 1296*T1^11*T2^8 + 
      531*T1^12*T2^8 - 138*T1^13*T2^8 + 578*T1^14*T2^8 + 198*T1^15*T2^8 + 
      17*T1^16*T2^8 - 67*T1*T2^9 - 361*T1^2*T2^9 - 421*T1^3*T2^9 + 
      311*T1^4*T2^9 - 1249*T1^5*T2^9 - 993*T1^6*T2^9 + 1056*T1^7*T2^9 - 
      1198*T1^8*T2^9 - 1198*T1^9*T2^9 + 1056*T1^10*T2^9 - 993*T1^11*T2^9 - 
      1249*T1^12*T2^9 + 311*T1^13*T2^9 - 421*T1^14*T2^9 - 361*T1^15*T2^9 - 
      67*T1^16*T2^9 + 158*T1^2*T2^10 + 358*T1^3*T2^10 + 180*T1^4*T2^10 - 
      287*T1^5*T2^10 + 2051*T1^6*T2^10 - 993*T1^7*T2^10 + 358*T1^8*T2^10 + 
      1056*T1^9*T2^10 + 358*T1^10*T2^10 - 993*T1^11*T2^10 + 
      2051*T1^12*T2^10 - 287*T1^13*T2^10 + 180*T1^14*T2^10 + 
      358*T1^15*T2^10 + 158*T1^16*T2^10 - 248*T1^3*T2^11 - 163*T1^4*T2^11 + 
      28*T1^5*T2^11 - 287*T1^6*T2^11 - 1249*T1^7*T2^11 + 1296*T1^8*T2^11 - 
      993*T1^9*T2^11 - 993*T1^10*T2^11 + 1296*T1^11*T2^11 - 
      1249*T1^12*T2^11 - 287*T1^13*T2^11 + 28*T1^14*T2^11 - 163*T1^15*T2^11 - 
      248*T1^16*T2^11 + 289*T1^4*T2^12 - 163*T1^5*T2^12 + 180*T1^6*T2^12 + 
      311*T1^7*T2^12 + 531*T1^8*T2^12 - 1249*T1^9*T2^12 + 2051*T1^10*T2^12 - 
      1249*T1^11*T2^12 + 531*T1^12*T2^12 + 311*T1^13*T2^12 + 
      180*T1^14*T2^12 - 163*T1^15*T2^12 + 289*T1^16*T2^12 - 248*T1^5*T2^13 + 
      358*T1^6*T2^13 - 421*T1^7*T2^13 - 138*T1^8*T2^13 + 311*T1^9*T2^13 - 
      287*T1^10*T2^13 - 287*T1^11*T2^13 + 311*T1^12*T2^13 - 138*T1^13*T2^13 - 
      421*T1^14*T2^13 + 358*T1^15*T2^13 - 248*T1^16*T2^13 + 158*T1^6*T2^14 - 
      361*T1^7*T2^14 + 578*T1^8*T2^14 - 421*T1^9*T2^14 + 180*T1^10*T2^14 + 
      28*T1^11*T2^14 + 180*T1^12*T2^14 - 421*T1^13*T2^14 + 578*T1^14*T2^14 - 
      361*T1^15*T2^14 + 158*T1^16*T2^14 - 67*T1^7*T2^15 + 198*T1^8*T2^15 - 
      361*T1^9*T2^15 + 358*T1^10*T2^15 - 163*T1^11*T2^15 - 163*T1^12*T2^15 + 
      358*T1^13*T2^15 - 361*T1^14*T2^15 + 198*T1^15*T2^15 - 67*T1^16*T2^15 + 
      17*T1^8*T2^16 - 67*T1^9*T2^16 + 158*T1^10*T2^16 - 248*T1^11*T2^16 + 
      289*T1^12*T2^16 - 248*T1^13*T2^16 + 158*T1^14*T2^16 - 67*T1^15*T2^16 + 
      17*T1^16*T2^16)/(T1^8*T2^8))}, 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, 
   (6 - 28*T1 + 58*T1^2 - 76*T1^3 + 58*T1^4 - 28*T1^5 + 6*T1^6 - 28*T2 + 
     106*T1*T2 - 154*T1^2*T2 + 90*T1^3*T2 + 90*T1^4*T2 - 154*T1^5*T2 + 
     106*T1^6*T2 - 28*T1^7*T2 + 58*T2^2 - 154*T1*T2^2 + 32*T1^2*T2^2 + 
     364*T1^3*T2^2 - 682*T1^4*T2^2 + 364*T1^5*T2^2 + 32*T1^6*T2^2 - 
     154*T1^7*T2^2 + 58*T1^8*T2^2 - 76*T2^3 + 90*T1*T2^3 + 364*T1^2*T2^3 - 
     944*T1^3*T2^3 + 628*T1^4*T2^3 + 628*T1^5*T2^3 - 944*T1^6*T2^3 + 
     364*T1^7*T2^3 + 90*T1^8*T2^3 - 76*T1^9*T2^3 + 58*T2^4 + 90*T1*T2^4 - 
     682*T1^2*T2^4 + 628*T1^3*T2^4 + 1047*T1^4*T2^4 - 2363*T1^5*T2^4 + 
     1047*T1^6*T2^4 + 628*T1^7*T2^4 - 682*T1^8*T2^4 + 90*T1^9*T2^4 + 
     58*T1^10*T2^4 - 28*T2^5 - 154*T1*T2^5 + 364*T1^2*T2^5 + 628*T1^3*T2^5 - 
     2363*T1^4*T2^5 + 1536*T1^5*T2^5 + 1536*T1^6*T2^5 - 2363*T1^7*T2^5 + 
     628*T1^8*T2^5 + 364*T1^9*T2^5 - 154*T1^10*T2^5 - 28*T1^11*T2^5 + 
     6*T2^6 + 106*T1*T2^6 + 32*T1^2*T2^6 - 944*T1^3*T2^6 + 1047*T1^4*T2^6 + 
     1536*T1^5*T2^6 - 3468*T1^6*T2^6 + 1536*T1^7*T2^6 + 1047*T1^8*T2^6 - 
     944*T1^9*T2^6 + 32*T1^10*T2^6 + 106*T1^11*T2^6 + 6*T1^12*T2^6 - 
     28*T1*T2^7 - 154*T1^2*T2^7 + 364*T1^3*T2^7 + 628*T1^4*T2^7 - 
     2363*T1^5*T2^7 + 1536*T1^6*T2^7 + 1536*T1^7*T2^7 - 2363*T1^8*T2^7 + 
     628*T1^9*T2^7 + 364*T1^10*T2^7 - 154*T1^11*T2^7 - 28*T1^12*T2^7 + 
     58*T1^2*T2^8 + 90*T1^3*T2^8 - 682*T1^4*T2^8 + 628*T1^5*T2^8 + 
     1047*T1^6*T2^8 - 2363*T1^7*T2^8 + 1047*T1^8*T2^8 + 628*T1^9*T2^8 - 
     682*T1^10*T2^8 + 90*T1^11*T2^8 + 58*T1^12*T2^8 - 76*T1^3*T2^9 + 
     90*T1^4*T2^9 + 364*T1^5*T2^9 - 944*T1^6*T2^9 + 628*T1^7*T2^9 + 
     628*T1^8*T2^9 - 944*T1^9*T2^9 + 364*T1^10*T2^9 + 90*T1^11*T2^9 - 
     76*T1^12*T2^9 + 58*T1^4*T2^10 - 154*T1^5*T2^10 + 32*T1^6*T2^10 + 
     364*T1^7*T2^10 - 682*T1^8*T2^10 + 364*T1^9*T2^10 + 32*T1^10*T2^10 - 
     154*T1^11*T2^10 + 58*T1^12*T2^10 - 28*T1^5*T2^11 + 106*T1^6*T2^11 - 
     154*T1^7*T2^11 + 90*T1^8*T2^11 + 90*T1^9*T2^11 - 154*T1^10*T2^11 + 
     106*T1^11*T2^11 - 28*T1^12*T2^11 + 6*T1^6*T2^12 - 28*T1^7*T2^12 + 
     58*T1^8*T2^12 - 76*T1^9*T2^12 + 58*T1^10*T2^12 - 28*T1^11*T2^12 + 
     6*T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   -((17 - 51*T1 + 85*T1^2 - 93*T1^3 + 93*T1^4 - 93*T1^5 + 85*T1^6 - 
      51*T1^7 + 17*T1^8 - 51*T2 + 102*T1*T2 - 102*T1^2*T2 + 24*T1^3*T2 + 
      24*T1^6*T2 - 102*T1^7*T2 + 102*T1^8*T2 - 51*T1^9*T2 + 85*T2^2 - 
      102*T1*T2^2 + 51*T1^2*T2^2 + 57*T1^3*T2^2 + 25*T1^4*T2^2 - 
      61*T1^5*T2^2 + 25*T1^6*T2^2 + 57*T1^7*T2^2 + 51*T1^8*T2^2 - 
      102*T1^9*T2^2 + 85*T1^10*T2^2 - 93*T2^3 + 24*T1*T2^3 + 57*T1^2*T2^3 - 
      136*T1^3*T2^3 - 62*T1^4*T2^3 + 32*T1^5*T2^3 + 32*T1^6*T2^3 - 
      62*T1^7*T2^3 - 136*T1^8*T2^3 + 57*T1^9*T2^3 + 24*T1^10*T2^3 - 
      93*T1^11*T2^3 + 93*T2^4 + 25*T1^2*T2^4 - 62*T1^3*T2^4 + 333*T1^4*T2^4 - 
      195*T1^5*T2^4 + 169*T1^6*T2^4 - 195*T1^7*T2^4 + 333*T1^8*T2^4 - 
      62*T1^9*T2^4 + 25*T1^10*T2^4 + 93*T1^12*T2^4 - 93*T2^5 - 61*T1^2*T2^5 + 
      32*T1^3*T2^5 - 195*T1^4*T2^5 - 54*T1^5*T2^5 + 10*T1^6*T2^5 + 
      10*T1^7*T2^5 - 54*T1^8*T2^5 - 195*T1^9*T2^5 + 32*T1^10*T2^5 - 
      61*T1^11*T2^5 - 93*T1^13*T2^5 + 85*T2^6 + 24*T1*T2^6 + 25*T1^2*T2^6 + 
      32*T1^3*T2^6 + 169*T1^4*T2^6 + 10*T1^5*T2^6 + 129*T1^6*T2^6 - 
      117*T1^7*T2^6 + 129*T1^8*T2^6 + 10*T1^9*T2^6 + 169*T1^10*T2^6 + 
      32*T1^11*T2^6 + 25*T1^12*T2^6 + 24*T1^13*T2^6 + 85*T1^14*T2^6 - 
      51*T2^7 - 102*T1*T2^7 + 57*T1^2*T2^7 - 62*T1^3*T2^7 - 195*T1^4*T2^7 + 
      10*T1^5*T2^7 - 117*T1^6*T2^7 + 14*T1^7*T2^7 + 14*T1^8*T2^7 - 
      117*T1^9*T2^7 + 10*T1^10*T2^7 - 195*T1^11*T2^7 - 62*T1^12*T2^7 + 
      57*T1^13*T2^7 - 102*T1^14*T2^7 - 51*T1^15*T2^7 + 17*T2^8 + 
      102*T1*T2^8 + 51*T1^2*T2^8 - 136*T1^3*T2^8 + 333*T1^4*T2^8 - 
      54*T1^5*T2^8 + 129*T1^6*T2^8 + 14*T1^7*T2^8 + 14*T1^9*T2^8 + 
      129*T1^10*T2^8 - 54*T1^11*T2^8 + 333*T1^12*T2^8 - 136*T1^13*T2^8 + 
      51*T1^14*T2^8 + 102*T1^15*T2^8 + 17*T1^16*T2^8 - 51*T1*T2^9 - 
      102*T1^2*T2^9 + 57*T1^3*T2^9 - 62*T1^4*T2^9 - 195*T1^5*T2^9 + 
      10*T1^6*T2^9 - 117*T1^7*T2^9 + 14*T1^8*T2^9 + 14*T1^9*T2^9 - 
      117*T1^10*T2^9 + 10*T1^11*T2^9 - 195*T1^12*T2^9 - 62*T1^13*T2^9 + 
      57*T1^14*T2^9 - 102*T1^15*T2^9 - 51*T1^16*T2^9 + 85*T1^2*T2^10 + 
      24*T1^3*T2^10 + 25*T1^4*T2^10 + 32*T1^5*T2^10 + 169*T1^6*T2^10 + 
      10*T1^7*T2^10 + 129*T1^8*T2^10 - 117*T1^9*T2^10 + 129*T1^10*T2^10 + 
      10*T1^11*T2^10 + 169*T1^12*T2^10 + 32*T1^13*T2^10 + 25*T1^14*T2^10 + 
      24*T1^15*T2^10 + 85*T1^16*T2^10 - 93*T1^3*T2^11 - 61*T1^5*T2^11 + 
      32*T1^6*T2^11 - 195*T1^7*T2^11 - 54*T1^8*T2^11 + 10*T1^9*T2^11 + 
      10*T1^10*T2^11 - 54*T1^11*T2^11 - 195*T1^12*T2^11 + 32*T1^13*T2^11 - 
      61*T1^14*T2^11 - 93*T1^16*T2^11 + 93*T1^4*T2^12 + 25*T1^6*T2^12 - 
      62*T1^7*T2^12 + 333*T1^8*T2^12 - 195*T1^9*T2^12 + 169*T1^10*T2^12 - 
      195*T1^11*T2^12 + 333*T1^12*T2^12 - 62*T1^13*T2^12 + 25*T1^14*T2^12 + 
      93*T1^16*T2^12 - 93*T1^5*T2^13 + 24*T1^6*T2^13 + 57*T1^7*T2^13 - 
      136*T1^8*T2^13 - 62*T1^9*T2^13 + 32*T1^10*T2^13 + 32*T1^11*T2^13 - 
      62*T1^12*T2^13 - 136*T1^13*T2^13 + 57*T1^14*T2^13 + 24*T1^15*T2^13 - 
      93*T1^16*T2^13 + 85*T1^6*T2^14 - 102*T1^7*T2^14 + 51*T1^8*T2^14 + 
      57*T1^9*T2^14 + 25*T1^10*T2^14 - 61*T1^11*T2^14 + 25*T1^12*T2^14 + 
      57*T1^13*T2^14 + 51*T1^14*T2^14 - 102*T1^15*T2^14 + 85*T1^16*T2^14 - 
      51*T1^7*T2^15 + 102*T1^8*T2^15 - 102*T1^9*T2^15 + 24*T1^10*T2^15 + 
      24*T1^13*T2^15 - 102*T1^14*T2^15 + 102*T1^15*T2^15 - 51*T1^16*T2^15 + 
      17*T1^8*T2^16 - 51*T1^9*T2^16 + 85*T1^10*T2^16 - 93*T1^11*T2^16 + 
      93*T1^12*T2^16 - 93*T1^13*T2^16 + 85*T1^14*T2^16 - 51*T1^15*T2^16 + 
      17*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 581] -> 
  {((2 - 3*T + 2*T^2)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^3, 
   -((80 - 276*T1 + 508*T1^2 - 600*T1^3 + 508*T1^4 - 276*T1^5 + 80*T1^6 - 
      276*T2 + 678*T1*T2 - 804*T1^2*T2 + 320*T1^3*T2 + 320*T1^4*T2 - 
      804*T1^5*T2 + 678*T1^6*T2 - 276*T1^7*T2 + 508*T2^2 - 804*T1*T2^2 + 
      447*T1^2*T2^2 + 581*T1^3*T2^2 - 883*T1^4*T2^2 + 581*T1^5*T2^2 + 
      447*T1^6*T2^2 - 804*T1^7*T2^2 + 508*T1^8*T2^2 - 600*T2^3 + 
      320*T1*T2^3 + 581*T1^2*T2^3 - 1558*T1^3*T2^3 + 586*T1^4*T2^3 + 
      586*T1^5*T2^3 - 1558*T1^6*T2^3 + 581*T1^7*T2^3 + 320*T1^8*T2^3 - 
      600*T1^9*T2^3 + 508*T2^4 + 320*T1*T2^4 - 883*T1^2*T2^4 + 
      586*T1^3*T2^4 + 1955*T1^4*T2^4 - 2707*T1^5*T2^4 + 1955*T1^6*T2^4 + 
      586*T1^7*T2^4 - 883*T1^8*T2^4 + 320*T1^9*T2^4 + 508*T1^10*T2^4 - 
      276*T2^5 - 804*T1*T2^5 + 581*T1^2*T2^5 + 586*T1^3*T2^5 - 
      2707*T1^4*T2^5 + 1112*T1^5*T2^5 + 1112*T1^6*T2^5 - 2707*T1^7*T2^5 + 
      586*T1^8*T2^5 + 581*T1^9*T2^5 - 804*T1^10*T2^5 - 276*T1^11*T2^5 + 
      80*T2^6 + 678*T1*T2^6 + 447*T1^2*T2^6 - 1558*T1^3*T2^6 + 
      1955*T1^4*T2^6 + 1112*T1^5*T2^6 - 2124*T1^6*T2^6 + 1112*T1^7*T2^6 + 
      1955*T1^8*T2^6 - 1558*T1^9*T2^6 + 447*T1^10*T2^6 + 678*T1^11*T2^6 + 
      80*T1^12*T2^6 - 276*T1*T2^7 - 804*T1^2*T2^7 + 581*T1^3*T2^7 + 
      586*T1^4*T2^7 - 2707*T1^5*T2^7 + 1112*T1^6*T2^7 + 1112*T1^7*T2^7 - 
      2707*T1^8*T2^7 + 586*T1^9*T2^7 + 581*T1^10*T2^7 - 804*T1^11*T2^7 - 
      276*T1^12*T2^7 + 508*T1^2*T2^8 + 320*T1^3*T2^8 - 883*T1^4*T2^8 + 
      586*T1^5*T2^8 + 1955*T1^6*T2^8 - 2707*T1^7*T2^8 + 1955*T1^8*T2^8 + 
      586*T1^9*T2^8 - 883*T1^10*T2^8 + 320*T1^11*T2^8 + 508*T1^12*T2^8 - 
      600*T1^3*T2^9 + 320*T1^4*T2^9 + 581*T1^5*T2^9 - 1558*T1^6*T2^9 + 
      586*T1^7*T2^9 + 586*T1^8*T2^9 - 1558*T1^9*T2^9 + 581*T1^10*T2^9 + 
      320*T1^11*T2^9 - 600*T1^12*T2^9 + 508*T1^4*T2^10 - 804*T1^5*T2^10 + 
      447*T1^6*T2^10 + 581*T1^7*T2^10 - 883*T1^8*T2^10 + 581*T1^9*T2^10 + 
      447*T1^10*T2^10 - 804*T1^11*T2^10 + 508*T1^12*T2^10 - 276*T1^5*T2^11 + 
      678*T1^6*T2^11 - 804*T1^7*T2^11 + 320*T1^8*T2^11 + 320*T1^9*T2^11 - 
      804*T1^10*T2^11 + 678*T1^11*T2^11 - 276*T1^12*T2^11 + 80*T1^6*T2^12 - 
      276*T1^7*T2^12 + 508*T1^8*T2^12 - 600*T1^9*T2^12 + 508*T1^10*T2^12 - 
      276*T1^11*T2^12 + 80*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 582] -> 
  {(4 - 15*T + 29*T^2 - 35*T^3 + 29*T^4 - 15*T^5 + 4*T^6)/T^3, 
   (-2*(40 - 148*T1 + 284*T1^2 - 340*T1^3 + 284*T1^4 - 148*T1^5 + 40*T1^6 - 
      148*T2 + 402*T1*T2 - 508*T1^2*T2 + 210*T1^3*T2 + 210*T1^4*T2 - 
      508*T1^5*T2 + 402*T1^6*T2 - 148*T1^7*T2 + 284*T2^2 - 508*T1*T2^2 + 
      270*T1^2*T2^2 + 486*T1^3*T2^2 - 733*T1^4*T2^2 + 486*T1^5*T2^2 + 
      270*T1^6*T2^2 - 508*T1^7*T2^2 + 284*T1^8*T2^2 - 340*T2^3 + 
      210*T1*T2^3 + 486*T1^2*T2^3 - 1232*T1^3*T2^3 + 471*T1^4*T2^3 + 
      471*T1^5*T2^3 - 1232*T1^6*T2^3 + 486*T1^7*T2^3 + 210*T1^8*T2^3 - 
      340*T1^9*T2^3 + 284*T2^4 + 210*T1*T2^4 - 733*T1^2*T2^4 + 
      471*T1^3*T2^4 + 1522*T1^4*T2^4 - 2069*T1^5*T2^4 + 1522*T1^6*T2^4 + 
      471*T1^7*T2^4 - 733*T1^8*T2^4 + 210*T1^9*T2^4 + 284*T1^10*T2^4 - 
      148*T2^5 - 508*T1*T2^5 + 486*T1^2*T2^5 + 471*T1^3*T2^5 - 
      2069*T1^4*T2^5 + 776*T1^5*T2^5 + 776*T1^6*T2^5 - 2069*T1^7*T2^5 + 
      471*T1^8*T2^5 + 486*T1^9*T2^5 - 508*T1^10*T2^5 - 148*T1^11*T2^5 + 
      40*T2^6 + 402*T1*T2^6 + 270*T1^2*T2^6 - 1232*T1^3*T2^6 + 
      1522*T1^4*T2^6 + 776*T1^5*T2^6 - 1356*T1^6*T2^6 + 776*T1^7*T2^6 + 
      1522*T1^8*T2^6 - 1232*T1^9*T2^6 + 270*T1^10*T2^6 + 402*T1^11*T2^6 + 
      40*T1^12*T2^6 - 148*T1*T2^7 - 508*T1^2*T2^7 + 486*T1^3*T2^7 + 
      471*T1^4*T2^7 - 2069*T1^5*T2^7 + 776*T1^6*T2^7 + 776*T1^7*T2^7 - 
      2069*T1^8*T2^7 + 471*T1^9*T2^7 + 486*T1^10*T2^7 - 508*T1^11*T2^7 - 
      148*T1^12*T2^7 + 284*T1^2*T2^8 + 210*T1^3*T2^8 - 733*T1^4*T2^8 + 
      471*T1^5*T2^8 + 1522*T1^6*T2^8 - 2069*T1^7*T2^8 + 1522*T1^8*T2^8 + 
      471*T1^9*T2^8 - 733*T1^10*T2^8 + 210*T1^11*T2^8 + 284*T1^12*T2^8 - 
      340*T1^3*T2^9 + 210*T1^4*T2^9 + 486*T1^5*T2^9 - 1232*T1^6*T2^9 + 
      471*T1^7*T2^9 + 471*T1^8*T2^9 - 1232*T1^9*T2^9 + 486*T1^10*T2^9 + 
      210*T1^11*T2^9 - 340*T1^12*T2^9 + 284*T1^4*T2^10 - 508*T1^5*T2^10 + 
      270*T1^6*T2^10 + 486*T1^7*T2^10 - 733*T1^8*T2^10 + 486*T1^9*T2^10 + 
      270*T1^10*T2^10 - 508*T1^11*T2^10 + 284*T1^12*T2^10 - 148*T1^5*T2^11 + 
      402*T1^6*T2^11 - 508*T1^7*T2^11 + 210*T1^8*T2^11 + 210*T1^9*T2^11 - 
      508*T1^10*T2^11 + 402*T1^11*T2^11 - 148*T1^12*T2^11 + 40*T1^6*T2^12 - 
      148*T1^7*T2^12 + 284*T1^8*T2^12 - 340*T1^9*T2^12 + 284*T1^10*T2^12 - 
      148*T1^11*T2^12 + 40*T1^12*T2^12))/(T1^6*T2^6)}, 
 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, 
   -((6 - 22*T1 + 44*T1^2 - 58*T1^3 + 44*T1^4 - 22*T1^5 + 6*T1^6 - 22*T2 + 
      58*T1*T2 - 86*T1^2*T2 + 58*T1^3*T2 + 58*T1^4*T2 - 86*T1^5*T2 + 
      58*T1^6*T2 - 22*T1^7*T2 + 44*T2^2 - 86*T1*T2^2 + 101*T1^2*T2^2 + 
      21*T1^3*T2^2 - 217*T1^4*T2^2 + 21*T1^5*T2^2 + 101*T1^6*T2^2 - 
      86*T1^7*T2^2 + 44*T1^8*T2^2 - 58*T2^3 + 58*T1*T2^3 + 21*T1^2*T2^3 - 
      284*T1^3*T2^3 + 322*T1^4*T2^3 + 322*T1^5*T2^3 - 284*T1^6*T2^3 + 
      21*T1^7*T2^3 + 58*T1^8*T2^3 - 58*T1^9*T2^3 + 44*T2^4 + 58*T1*T2^4 - 
      217*T1^2*T2^4 + 322*T1^3*T2^4 + 185*T1^4*T2^4 - 951*T1^5*T2^4 + 
      185*T1^6*T2^4 + 322*T1^7*T2^4 - 217*T1^8*T2^4 + 58*T1^9*T2^4 + 
      44*T1^10*T2^4 - 22*T2^5 - 86*T1*T2^5 + 21*T1^2*T2^5 + 322*T1^3*T2^5 - 
      951*T1^4*T2^5 + 810*T1^5*T2^5 + 810*T1^6*T2^5 - 951*T1^7*T2^5 + 
      322*T1^8*T2^5 + 21*T1^9*T2^5 - 86*T1^10*T2^5 - 22*T1^11*T2^5 + 6*T2^6 + 
      58*T1*T2^6 + 101*T1^2*T2^6 - 284*T1^3*T2^6 + 185*T1^4*T2^6 + 
      810*T1^5*T2^6 - 1944*T1^6*T2^6 + 810*T1^7*T2^6 + 185*T1^8*T2^6 - 
      284*T1^9*T2^6 + 101*T1^10*T2^6 + 58*T1^11*T2^6 + 6*T1^12*T2^6 - 
      22*T1*T2^7 - 86*T1^2*T2^7 + 21*T1^3*T2^7 + 322*T1^4*T2^7 - 
      951*T1^5*T2^7 + 810*T1^6*T2^7 + 810*T1^7*T2^7 - 951*T1^8*T2^7 + 
      322*T1^9*T2^7 + 21*T1^10*T2^7 - 86*T1^11*T2^7 - 22*T1^12*T2^7 + 
      44*T1^2*T2^8 + 58*T1^3*T2^8 - 217*T1^4*T2^8 + 322*T1^5*T2^8 + 
      185*T1^6*T2^8 - 951*T1^7*T2^8 + 185*T1^8*T2^8 + 322*T1^9*T2^8 - 
      217*T1^10*T2^8 + 58*T1^11*T2^8 + 44*T1^12*T2^8 - 58*T1^3*T2^9 + 
      58*T1^4*T2^9 + 21*T1^5*T2^9 - 284*T1^6*T2^9 + 322*T1^7*T2^9 + 
      322*T1^8*T2^9 - 284*T1^9*T2^9 + 21*T1^10*T2^9 + 58*T1^11*T2^9 - 
      58*T1^12*T2^9 + 44*T1^4*T2^10 - 86*T1^5*T2^10 + 101*T1^6*T2^10 + 
      21*T1^7*T2^10 - 217*T1^8*T2^10 + 21*T1^9*T2^10 + 101*T1^10*T2^10 - 
      86*T1^11*T2^10 + 44*T1^12*T2^10 - 22*T1^5*T2^11 + 58*T1^6*T2^11 - 
      86*T1^7*T2^11 + 58*T1^8*T2^11 + 58*T1^9*T2^11 - 86*T1^10*T2^11 + 
      58*T1^11*T2^11 - 22*T1^12*T2^11 + 6*T1^6*T2^12 - 22*T1^7*T2^12 + 
      44*T1^8*T2^12 - 58*T1^9*T2^12 + 44*T1^10*T2^12 - 22*T1^11*T2^12 + 
      6*T1^12*T2^12)/(T1^6*T2^6))}, 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), -((1 - 7*T1 + 19*T1^2 - 29*T1^3 + 31*T1^4 - 29*T1^5 + 19*T1^6 - 
      7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 84*T1^2*T2 + 70*T1^3*T2 - 
      14*T1^4*T2 - 14*T1^5*T2 + 70*T1^6*T2 - 84*T1^7*T2 + 42*T1^8*T2 - 
      7*T1^9*T2 + 19*T2^2 - 84*T1*T2^2 + 31*T1^2*T2^2 + 273*T1^3*T2^2 - 
      521*T1^4*T2^2 + 475*T1^5*T2^2 - 521*T1^6*T2^2 + 273*T1^7*T2^2 + 
      31*T1^8*T2^2 - 84*T1^9*T2^2 + 19*T1^10*T2^2 - 29*T2^3 + 70*T1*T2^3 + 
      273*T1^2*T2^3 - 878*T1^3*T2^3 + 762*T1^4*T2^3 - 32*T1^5*T2^3 - 
      32*T1^6*T2^3 + 762*T1^7*T2^3 - 878*T1^8*T2^3 + 273*T1^9*T2^3 + 
      70*T1^10*T2^3 - 29*T1^11*T2^3 + 31*T2^4 - 14*T1*T2^4 - 521*T1^2*T2^4 + 
      762*T1^3*T2^4 + 544*T1^4*T2^4 - 1814*T1^5*T2^4 + 1216*T1^6*T2^4 - 
      1814*T1^7*T2^4 + 544*T1^8*T2^4 + 762*T1^9*T2^4 - 521*T1^10*T2^4 - 
      14*T1^11*T2^4 + 31*T1^12*T2^4 - 29*T2^5 - 14*T1*T2^5 + 475*T1^2*T2^5 - 
      32*T1^3*T2^5 - 1814*T1^4*T2^5 + 2036*T1^5*T2^5 + 70*T1^6*T2^5 + 
      70*T1^7*T2^5 + 2036*T1^8*T2^5 - 1814*T1^9*T2^5 - 32*T1^10*T2^5 + 
      475*T1^11*T2^5 - 14*T1^12*T2^5 - 29*T1^13*T2^5 + 19*T2^6 + 70*T1*T2^6 - 
      521*T1^2*T2^6 - 32*T1^3*T2^6 + 1216*T1^4*T2^6 + 70*T1^5*T2^6 - 
      2696*T1^6*T2^6 + 1940*T1^7*T2^6 - 2696*T1^8*T2^6 + 70*T1^9*T2^6 + 
      1216*T1^10*T2^6 - 32*T1^11*T2^6 - 521*T1^12*T2^6 + 70*T1^13*T2^6 + 
      19*T1^14*T2^6 - 7*T2^7 - 84*T1*T2^7 + 273*T1^2*T2^7 + 762*T1^3*T2^7 - 
      1814*T1^4*T2^7 + 70*T1^5*T2^7 + 1940*T1^6*T2^7 - 146*T1^7*T2^7 - 
      146*T1^8*T2^7 + 1940*T1^9*T2^7 + 70*T1^10*T2^7 - 1814*T1^11*T2^7 + 
      762*T1^12*T2^7 + 273*T1^13*T2^7 - 84*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 
      42*T1*T2^8 + 31*T1^2*T2^8 - 878*T1^3*T2^8 + 544*T1^4*T2^8 + 
      2036*T1^5*T2^8 - 2696*T1^6*T2^8 - 146*T1^7*T2^8 + 108*T1^8*T2^8 - 
      146*T1^9*T2^8 - 2696*T1^10*T2^8 + 2036*T1^11*T2^8 + 544*T1^12*T2^8 - 
      878*T1^13*T2^8 + 31*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 
      7*T1*T2^9 - 84*T1^2*T2^9 + 273*T1^3*T2^9 + 762*T1^4*T2^9 - 
      1814*T1^5*T2^9 + 70*T1^6*T2^9 + 1940*T1^7*T2^9 - 146*T1^8*T2^9 - 
      146*T1^9*T2^9 + 1940*T1^10*T2^9 + 70*T1^11*T2^9 - 1814*T1^12*T2^9 + 
      762*T1^13*T2^9 + 273*T1^14*T2^9 - 84*T1^15*T2^9 - 7*T1^16*T2^9 + 
      19*T1^2*T2^10 + 70*T1^3*T2^10 - 521*T1^4*T2^10 - 32*T1^5*T2^10 + 
      1216*T1^6*T2^10 + 70*T1^7*T2^10 - 2696*T1^8*T2^10 + 1940*T1^9*T2^10 - 
      2696*T1^10*T2^10 + 70*T1^11*T2^10 + 1216*T1^12*T2^10 - 32*T1^13*T2^10 - 
      521*T1^14*T2^10 + 70*T1^15*T2^10 + 19*T1^16*T2^10 - 29*T1^3*T2^11 - 
      14*T1^4*T2^11 + 475*T1^5*T2^11 - 32*T1^6*T2^11 - 1814*T1^7*T2^11 + 
      2036*T1^8*T2^11 + 70*T1^9*T2^11 + 70*T1^10*T2^11 + 2036*T1^11*T2^11 - 
      1814*T1^12*T2^11 - 32*T1^13*T2^11 + 475*T1^14*T2^11 - 14*T1^15*T2^11 - 
      29*T1^16*T2^11 + 31*T1^4*T2^12 - 14*T1^5*T2^12 - 521*T1^6*T2^12 + 
      762*T1^7*T2^12 + 544*T1^8*T2^12 - 1814*T1^9*T2^12 + 1216*T1^10*T2^12 - 
      1814*T1^11*T2^12 + 544*T1^12*T2^12 + 762*T1^13*T2^12 - 
      521*T1^14*T2^12 - 14*T1^15*T2^12 + 31*T1^16*T2^12 - 29*T1^5*T2^13 + 
      70*T1^6*T2^13 + 273*T1^7*T2^13 - 878*T1^8*T2^13 + 762*T1^9*T2^13 - 
      32*T1^10*T2^13 - 32*T1^11*T2^13 + 762*T1^12*T2^13 - 878*T1^13*T2^13 + 
      273*T1^14*T2^13 + 70*T1^15*T2^13 - 29*T1^16*T2^13 + 19*T1^6*T2^14 - 
      84*T1^7*T2^14 + 31*T1^8*T2^14 + 273*T1^9*T2^14 - 521*T1^10*T2^14 + 
      475*T1^11*T2^14 - 521*T1^12*T2^14 + 273*T1^13*T2^14 + 31*T1^14*T2^14 - 
      84*T1^15*T2^14 + 19*T1^16*T2^14 - 7*T1^7*T2^15 + 42*T1^8*T2^15 - 
      84*T1^9*T2^15 + 70*T1^10*T2^15 - 14*T1^11*T2^15 - 14*T1^12*T2^15 + 
      70*T1^13*T2^15 - 84*T1^14*T2^15 + 42*T1^15*T2^15 - 7*T1^16*T2^15 + 
      T1^8*T2^16 - 7*T1^9*T2^16 + 19*T1^10*T2^16 - 29*T1^11*T2^16 + 
      31*T1^12*T2^16 - 29*T1^13*T2^16 + 19*T1^14*T2^16 - 7*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 585] -> 
  {-((2 - 15*T + 43*T^2 - 61*T^3 + 43*T^4 - 15*T^5 + 2*T^6)/T^3), 
   -((1 - 7*T1 + 19*T1^2 - 27*T1^3 + 19*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 84*T1^2*T2 + 56*T1^3*T2 + 56*T1^4*T2 - 84*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 19*T2^2 - 84*T1*T2^2 - 5*T1^2*T2^2 + 
      469*T1^3*T2^2 - 897*T1^4*T2^2 + 469*T1^5*T2^2 - 5*T1^6*T2^2 - 
      84*T1^7*T2^2 + 19*T1^8*T2^2 - 27*T2^3 + 56*T1*T2^3 + 469*T1^2*T2^3 - 
      1514*T1^3*T2^3 + 1228*T1^4*T2^3 + 1228*T1^5*T2^3 - 1514*T1^6*T2^3 + 
      469*T1^7*T2^3 + 56*T1^8*T2^3 - 27*T1^9*T2^3 + 19*T2^4 + 56*T1*T2^4 - 
      897*T1^2*T2^4 + 1228*T1^3*T2^4 + 1938*T1^4*T2^4 - 5848*T1^5*T2^4 + 
      1938*T1^6*T2^4 + 1228*T1^7*T2^4 - 897*T1^8*T2^4 + 56*T1^9*T2^4 + 
      19*T1^10*T2^4 - 7*T2^5 - 84*T1*T2^5 + 469*T1^2*T2^5 + 1228*T1^3*T2^5 - 
      5848*T1^4*T2^5 + 5290*T1^5*T2^5 + 5290*T1^6*T2^5 - 5848*T1^7*T2^5 + 
      1228*T1^8*T2^5 + 469*T1^9*T2^5 - 84*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 - 5*T1^2*T2^6 - 1514*T1^3*T2^6 + 1938*T1^4*T2^6 + 
      5290*T1^5*T2^6 - 14052*T1^6*T2^6 + 5290*T1^7*T2^6 + 1938*T1^8*T2^6 - 
      1514*T1^9*T2^6 - 5*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 84*T1^2*T2^7 + 469*T1^3*T2^7 + 1228*T1^4*T2^7 - 
      5848*T1^5*T2^7 + 5290*T1^6*T2^7 + 5290*T1^7*T2^7 - 5848*T1^8*T2^7 + 
      1228*T1^9*T2^7 + 469*T1^10*T2^7 - 84*T1^11*T2^7 - 7*T1^12*T2^7 + 
      19*T1^2*T2^8 + 56*T1^3*T2^8 - 897*T1^4*T2^8 + 1228*T1^5*T2^8 + 
      1938*T1^6*T2^8 - 5848*T1^7*T2^8 + 1938*T1^8*T2^8 + 1228*T1^9*T2^8 - 
      897*T1^10*T2^8 + 56*T1^11*T2^8 + 19*T1^12*T2^8 - 27*T1^3*T2^9 + 
      56*T1^4*T2^9 + 469*T1^5*T2^9 - 1514*T1^6*T2^9 + 1228*T1^7*T2^9 + 
      1228*T1^8*T2^9 - 1514*T1^9*T2^9 + 469*T1^10*T2^9 + 56*T1^11*T2^9 - 
      27*T1^12*T2^9 + 19*T1^4*T2^10 - 84*T1^5*T2^10 - 5*T1^6*T2^10 + 
      469*T1^7*T2^10 - 897*T1^8*T2^10 + 469*T1^9*T2^10 - 5*T1^10*T2^10 - 
      84*T1^11*T2^10 + 19*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      84*T1^7*T2^11 + 56*T1^8*T2^11 + 56*T1^9*T2^11 - 84*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      19*T1^8*T2^12 - 27*T1^9*T2^12 + 19*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 586] -> 
  {(7 - 24*T + 44*T^2 - 53*T^3 + 44*T^4 - 24*T^5 + 7*T^6)/T^3, 
   (1120 - 3758*T1 + 6828*T1^2 - 8202*T1^3 + 6828*T1^4 - 3758*T1^5 + 
     1120*T1^6 - 3758*T2 + 8910*T1*T2 - 10397*T1^2*T2 + 4659*T1^3*T2 + 
     4659*T1^4*T2 - 10397*T1^5*T2 + 8910*T1^6*T2 - 3758*T1^7*T2 + 6828*T2^2 - 
     10397*T1*T2^2 + 5526*T1^2*T2^2 + 5898*T1^3*T2^2 - 11736*T1^4*T2^2 + 
     5898*T1^5*T2^2 + 5526*T1^6*T2^2 - 10397*T1^7*T2^2 + 6828*T1^8*T2^2 - 
     8202*T2^3 + 4659*T1*T2^3 + 5898*T1^2*T2^3 - 14384*T1^3*T2^3 + 
     7471*T1^4*T2^3 + 7471*T1^5*T2^3 - 14384*T1^6*T2^3 + 5898*T1^7*T2^3 + 
     4659*T1^8*T2^3 - 8202*T1^9*T2^3 + 6828*T2^4 + 4659*T1*T2^4 - 
     11736*T1^2*T2^4 + 7471*T1^3*T2^4 + 11078*T1^4*T2^4 - 20900*T1^5*T2^4 + 
     11078*T1^6*T2^4 + 7471*T1^7*T2^4 - 11736*T1^8*T2^4 + 4659*T1^9*T2^4 + 
     6828*T1^10*T2^4 - 3758*T2^5 - 10397*T1*T2^5 + 5898*T1^2*T2^5 + 
     7471*T1^3*T2^5 - 20900*T1^4*T2^5 + 10996*T1^5*T2^5 + 10996*T1^6*T2^5 - 
     20900*T1^7*T2^5 + 7471*T1^8*T2^5 + 5898*T1^9*T2^5 - 10397*T1^10*T2^5 - 
     3758*T1^11*T2^5 + 1120*T2^6 + 8910*T1*T2^6 + 5526*T1^2*T2^6 - 
     14384*T1^3*T2^6 + 11078*T1^4*T2^6 + 10996*T1^5*T2^6 - 22860*T1^6*T2^6 + 
     10996*T1^7*T2^6 + 11078*T1^8*T2^6 - 14384*T1^9*T2^6 + 5526*T1^10*T2^6 + 
     8910*T1^11*T2^6 + 1120*T1^12*T2^6 - 3758*T1*T2^7 - 10397*T1^2*T2^7 + 
     5898*T1^3*T2^7 + 7471*T1^4*T2^7 - 20900*T1^5*T2^7 + 10996*T1^6*T2^7 + 
     10996*T1^7*T2^7 - 20900*T1^8*T2^7 + 7471*T1^9*T2^7 + 5898*T1^10*T2^7 - 
     10397*T1^11*T2^7 - 3758*T1^12*T2^7 + 6828*T1^2*T2^8 + 4659*T1^3*T2^8 - 
     11736*T1^4*T2^8 + 7471*T1^5*T2^8 + 11078*T1^6*T2^8 - 20900*T1^7*T2^8 + 
     11078*T1^8*T2^8 + 7471*T1^9*T2^8 - 11736*T1^10*T2^8 + 4659*T1^11*T2^8 + 
     6828*T1^12*T2^8 - 8202*T1^3*T2^9 + 4659*T1^4*T2^9 + 5898*T1^5*T2^9 - 
     14384*T1^6*T2^9 + 7471*T1^7*T2^9 + 7471*T1^8*T2^9 - 14384*T1^9*T2^9 + 
     5898*T1^10*T2^9 + 4659*T1^11*T2^9 - 8202*T1^12*T2^9 + 6828*T1^4*T2^10 - 
     10397*T1^5*T2^10 + 5526*T1^6*T2^10 + 5898*T1^7*T2^10 - 
     11736*T1^8*T2^10 + 5898*T1^9*T2^10 + 5526*T1^10*T2^10 - 
     10397*T1^11*T2^10 + 6828*T1^12*T2^10 - 3758*T1^5*T2^11 + 
     8910*T1^6*T2^11 - 10397*T1^7*T2^11 + 4659*T1^8*T2^11 + 4659*T1^9*T2^11 - 
     10397*T1^10*T2^11 + 8910*T1^11*T2^11 - 3758*T1^12*T2^11 + 
     1120*T1^6*T2^12 - 3758*T1^7*T2^12 + 6828*T1^8*T2^12 - 8202*T1^9*T2^12 + 
     6828*T1^10*T2^12 - 3758*T1^11*T2^12 + 1120*T1^12*T2^12)/(T1^6*T2^6)}, 
 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), -((25 - 123*T1 + 266*T1^2 - 408*T1^3 + 467*T1^4 - 408*T1^5 + 
      266*T1^6 - 123*T1^7 + 25*T1^8 - 123*T2 + 484*T1*T2 - 711*T1^2*T2 + 
      707*T1^3*T2 - 294*T1^4*T2 - 294*T1^5*T2 + 707*T1^6*T2 - 711*T1^7*T2 + 
      484*T1^8*T2 - 123*T1^9*T2 + 266*T2^2 - 711*T1*T2^2 + 143*T1^2*T2^2 + 
      810*T1^3*T2^2 - 2147*T1^4*T2^2 + 2717*T1^5*T2^2 - 2147*T1^6*T2^2 + 
      810*T1^7*T2^2 + 143*T1^8*T2^2 - 711*T1^9*T2^2 + 266*T1^10*T2^2 - 
      408*T2^3 + 707*T1*T2^3 + 810*T1^2*T2^3 - 1500*T1^3*T2^3 + 
      2106*T1^4*T2^3 - 909*T1^5*T2^3 - 909*T1^6*T2^3 + 2106*T1^7*T2^3 - 
      1500*T1^8*T2^3 + 810*T1^9*T2^3 + 707*T1^10*T2^3 - 408*T1^11*T2^3 + 
      467*T2^4 - 294*T1*T2^4 - 2147*T1^2*T2^4 + 2106*T1^3*T2^4 - 
      2863*T1^4*T2^4 + 1539*T1^5*T2^4 - 1075*T1^6*T2^4 + 1539*T1^7*T2^4 - 
      2863*T1^8*T2^4 + 2106*T1^9*T2^4 - 2147*T1^10*T2^4 - 294*T1^11*T2^4 + 
      467*T1^12*T2^4 - 408*T2^5 - 294*T1*T2^5 + 2717*T1^2*T2^5 - 
      909*T1^3*T2^5 + 1539*T1^4*T2^5 + 558*T1^5*T2^5 - 228*T1^6*T2^5 - 
      228*T1^7*T2^5 + 558*T1^8*T2^5 + 1539*T1^9*T2^5 - 909*T1^10*T2^5 + 
      2717*T1^11*T2^5 - 294*T1^12*T2^5 - 408*T1^13*T2^5 + 266*T2^6 + 
      707*T1*T2^6 - 2147*T1^2*T2^6 - 909*T1^3*T2^6 - 1075*T1^4*T2^6 - 
      228*T1^5*T2^6 - 2319*T1^6*T2^6 + 2865*T1^7*T2^6 - 2319*T1^8*T2^6 - 
      228*T1^9*T2^6 - 1075*T1^10*T2^6 - 909*T1^11*T2^6 - 2147*T1^12*T2^6 + 
      707*T1^13*T2^6 + 266*T1^14*T2^6 - 123*T2^7 - 711*T1*T2^7 + 
      810*T1^2*T2^7 + 2106*T1^3*T2^7 + 1539*T1^4*T2^7 - 228*T1^5*T2^7 + 
      2865*T1^6*T2^7 - 1002*T1^7*T2^7 - 1002*T1^8*T2^7 + 2865*T1^9*T2^7 - 
      228*T1^10*T2^7 + 1539*T1^11*T2^7 + 2106*T1^12*T2^7 + 810*T1^13*T2^7 - 
      711*T1^14*T2^7 - 123*T1^15*T2^7 + 25*T2^8 + 484*T1*T2^8 + 
      143*T1^2*T2^8 - 1500*T1^3*T2^8 - 2863*T1^4*T2^8 + 558*T1^5*T2^8 - 
      2319*T1^6*T2^8 - 1002*T1^7*T2^8 + 1704*T1^8*T2^8 - 1002*T1^9*T2^8 - 
      2319*T1^10*T2^8 + 558*T1^11*T2^8 - 2863*T1^12*T2^8 - 1500*T1^13*T2^8 + 
      143*T1^14*T2^8 + 484*T1^15*T2^8 + 25*T1^16*T2^8 - 123*T1*T2^9 - 
      711*T1^2*T2^9 + 810*T1^3*T2^9 + 2106*T1^4*T2^9 + 1539*T1^5*T2^9 - 
      228*T1^6*T2^9 + 2865*T1^7*T2^9 - 1002*T1^8*T2^9 - 1002*T1^9*T2^9 + 
      2865*T1^10*T2^9 - 228*T1^11*T2^9 + 1539*T1^12*T2^9 + 2106*T1^13*T2^9 + 
      810*T1^14*T2^9 - 711*T1^15*T2^9 - 123*T1^16*T2^9 + 266*T1^2*T2^10 + 
      707*T1^3*T2^10 - 2147*T1^4*T2^10 - 909*T1^5*T2^10 - 1075*T1^6*T2^10 - 
      228*T1^7*T2^10 - 2319*T1^8*T2^10 + 2865*T1^9*T2^10 - 2319*T1^10*T2^10 - 
      228*T1^11*T2^10 - 1075*T1^12*T2^10 - 909*T1^13*T2^10 - 
      2147*T1^14*T2^10 + 707*T1^15*T2^10 + 266*T1^16*T2^10 - 408*T1^3*T2^11 - 
      294*T1^4*T2^11 + 2717*T1^5*T2^11 - 909*T1^6*T2^11 + 1539*T1^7*T2^11 + 
      558*T1^8*T2^11 - 228*T1^9*T2^11 - 228*T1^10*T2^11 + 558*T1^11*T2^11 + 
      1539*T1^12*T2^11 - 909*T1^13*T2^11 + 2717*T1^14*T2^11 - 
      294*T1^15*T2^11 - 408*T1^16*T2^11 + 467*T1^4*T2^12 - 294*T1^5*T2^12 - 
      2147*T1^6*T2^12 + 2106*T1^7*T2^12 - 2863*T1^8*T2^12 + 1539*T1^9*T2^12 - 
      1075*T1^10*T2^12 + 1539*T1^11*T2^12 - 2863*T1^12*T2^12 + 
      2106*T1^13*T2^12 - 2147*T1^14*T2^12 - 294*T1^15*T2^12 + 
      467*T1^16*T2^12 - 408*T1^5*T2^13 + 707*T1^6*T2^13 + 810*T1^7*T2^13 - 
      1500*T1^8*T2^13 + 2106*T1^9*T2^13 - 909*T1^10*T2^13 - 909*T1^11*T2^13 + 
      2106*T1^12*T2^13 - 1500*T1^13*T2^13 + 810*T1^14*T2^13 + 
      707*T1^15*T2^13 - 408*T1^16*T2^13 + 266*T1^6*T2^14 - 711*T1^7*T2^14 + 
      143*T1^8*T2^14 + 810*T1^9*T2^14 - 2147*T1^10*T2^14 + 2717*T1^11*T2^14 - 
      2147*T1^12*T2^14 + 810*T1^13*T2^14 + 143*T1^14*T2^14 - 
      711*T1^15*T2^14 + 266*T1^16*T2^14 - 123*T1^7*T2^15 + 484*T1^8*T2^15 - 
      711*T1^9*T2^15 + 707*T1^10*T2^15 - 294*T1^11*T2^15 - 294*T1^12*T2^15 + 
      707*T1^13*T2^15 - 711*T1^14*T2^15 + 484*T1^15*T2^15 - 123*T1^16*T2^15 + 
      25*T1^8*T2^16 - 123*T1^9*T2^16 + 266*T1^10*T2^16 - 408*T1^11*T2^16 + 
      467*T1^12*T2^16 - 408*T1^13*T2^16 + 266*T1^14*T2^16 - 123*T1^15*T2^16 + 
      25*T1^16*T2^16)/(T1^8*T2^8))}, 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), -((9 - 48*T1 + 128*T1^2 - 223*T1^3 + 263*T1^4 - 223*T1^5 + 
      128*T1^6 - 48*T1^7 + 9*T1^8 - 48*T2 + 210*T1*T2 - 434*T1^2*T2 + 
      518*T1^3*T2 - 220*T1^4*T2 - 220*T1^5*T2 + 518*T1^6*T2 - 434*T1^7*T2 + 
      210*T1^8*T2 - 48*T1^9*T2 + 128*T2^2 - 434*T1*T2^2 + 594*T1^2*T2^2 - 
      198*T1^3*T2^2 - 861*T1^4*T2^2 + 1270*T1^5*T2^2 - 861*T1^6*T2^2 - 
      198*T1^7*T2^2 + 594*T1^8*T2^2 - 434*T1^9*T2^2 + 128*T1^10*T2^2 - 
      223*T2^3 + 518*T1*T2^3 - 198*T1^2*T2^3 - 852*T1^3*T2^3 + 
      2052*T1^4*T2^3 - 820*T1^5*T2^3 - 820*T1^6*T2^3 + 2052*T1^7*T2^3 - 
      852*T1^8*T2^3 - 198*T1^9*T2^3 + 518*T1^10*T2^3 - 223*T1^11*T2^3 + 
      263*T2^4 - 220*T1*T2^4 - 861*T1^2*T2^4 + 2052*T1^3*T2^4 - 
      2262*T1^4*T2^4 - 1175*T1^5*T2^4 + 1922*T1^6*T2^4 - 1175*T1^7*T2^4 - 
      2262*T1^8*T2^4 + 2052*T1^9*T2^4 - 861*T1^10*T2^4 - 220*T1^11*T2^4 + 
      263*T1^12*T2^4 - 223*T2^5 - 220*T1*T2^5 + 1270*T1^2*T2^5 - 
      820*T1^3*T2^5 - 1175*T1^4*T2^5 + 5400*T1^5*T2^5 - 1710*T1^6*T2^5 - 
      1710*T1^7*T2^5 + 5400*T1^8*T2^5 - 1175*T1^9*T2^5 - 820*T1^10*T2^5 + 
      1270*T1^11*T2^5 - 220*T1^12*T2^5 - 223*T1^13*T2^5 + 128*T2^6 + 
      518*T1*T2^6 - 861*T1^2*T2^6 - 820*T1^3*T2^6 + 1922*T1^4*T2^6 - 
      1710*T1^5*T2^6 - 8158*T1^6*T2^6 + 9740*T1^7*T2^6 - 8158*T1^8*T2^6 - 
      1710*T1^9*T2^6 + 1922*T1^10*T2^6 - 820*T1^11*T2^6 - 861*T1^12*T2^6 + 
      518*T1^13*T2^6 + 128*T1^14*T2^6 - 48*T2^7 - 434*T1*T2^7 - 
      198*T1^2*T2^7 + 2052*T1^3*T2^7 - 1175*T1^4*T2^7 - 1710*T1^5*T2^7 + 
      9740*T1^6*T2^7 - 2752*T1^7*T2^7 - 2752*T1^8*T2^7 + 9740*T1^9*T2^7 - 
      1710*T1^10*T2^7 - 1175*T1^11*T2^7 + 2052*T1^12*T2^7 - 198*T1^13*T2^7 - 
      434*T1^14*T2^7 - 48*T1^15*T2^7 + 9*T2^8 + 210*T1*T2^8 + 594*T1^2*T2^8 - 
      852*T1^3*T2^8 - 2262*T1^4*T2^8 + 5400*T1^5*T2^8 - 8158*T1^6*T2^8 - 
      2752*T1^7*T2^8 + 3588*T1^8*T2^8 - 2752*T1^9*T2^8 - 8158*T1^10*T2^8 + 
      5400*T1^11*T2^8 - 2262*T1^12*T2^8 - 852*T1^13*T2^8 + 594*T1^14*T2^8 + 
      210*T1^15*T2^8 + 9*T1^16*T2^8 - 48*T1*T2^9 - 434*T1^2*T2^9 - 
      198*T1^3*T2^9 + 2052*T1^4*T2^9 - 1175*T1^5*T2^9 - 1710*T1^6*T2^9 + 
      9740*T1^7*T2^9 - 2752*T1^8*T2^9 - 2752*T1^9*T2^9 + 9740*T1^10*T2^9 - 
      1710*T1^11*T2^9 - 1175*T1^12*T2^9 + 2052*T1^13*T2^9 - 198*T1^14*T2^9 - 
      434*T1^15*T2^9 - 48*T1^16*T2^9 + 128*T1^2*T2^10 + 518*T1^3*T2^10 - 
      861*T1^4*T2^10 - 820*T1^5*T2^10 + 1922*T1^6*T2^10 - 1710*T1^7*T2^10 - 
      8158*T1^8*T2^10 + 9740*T1^9*T2^10 - 8158*T1^10*T2^10 - 
      1710*T1^11*T2^10 + 1922*T1^12*T2^10 - 820*T1^13*T2^10 - 
      861*T1^14*T2^10 + 518*T1^15*T2^10 + 128*T1^16*T2^10 - 223*T1^3*T2^11 - 
      220*T1^4*T2^11 + 1270*T1^5*T2^11 - 820*T1^6*T2^11 - 1175*T1^7*T2^11 + 
      5400*T1^8*T2^11 - 1710*T1^9*T2^11 - 1710*T1^10*T2^11 + 
      5400*T1^11*T2^11 - 1175*T1^12*T2^11 - 820*T1^13*T2^11 + 
      1270*T1^14*T2^11 - 220*T1^15*T2^11 - 223*T1^16*T2^11 + 263*T1^4*T2^12 - 
      220*T1^5*T2^12 - 861*T1^6*T2^12 + 2052*T1^7*T2^12 - 2262*T1^8*T2^12 - 
      1175*T1^9*T2^12 + 1922*T1^10*T2^12 - 1175*T1^11*T2^12 - 
      2262*T1^12*T2^12 + 2052*T1^13*T2^12 - 861*T1^14*T2^12 - 
      220*T1^15*T2^12 + 263*T1^16*T2^12 - 223*T1^5*T2^13 + 518*T1^6*T2^13 - 
      198*T1^7*T2^13 - 852*T1^8*T2^13 + 2052*T1^9*T2^13 - 820*T1^10*T2^13 - 
      820*T1^11*T2^13 + 2052*T1^12*T2^13 - 852*T1^13*T2^13 - 
      198*T1^14*T2^13 + 518*T1^15*T2^13 - 223*T1^16*T2^13 + 128*T1^6*T2^14 - 
      434*T1^7*T2^14 + 594*T1^8*T2^14 - 198*T1^9*T2^14 - 861*T1^10*T2^14 + 
      1270*T1^11*T2^14 - 861*T1^12*T2^14 - 198*T1^13*T2^14 + 
      594*T1^14*T2^14 - 434*T1^15*T2^14 + 128*T1^16*T2^14 - 48*T1^7*T2^15 + 
      210*T1^8*T2^15 - 434*T1^9*T2^15 + 518*T1^10*T2^15 - 220*T1^11*T2^15 - 
      220*T1^12*T2^15 + 518*T1^13*T2^15 - 434*T1^14*T2^15 + 210*T1^15*T2^15 - 
      48*T1^16*T2^15 + 9*T1^8*T2^16 - 48*T1^9*T2^16 + 128*T1^10*T2^16 - 
      223*T1^11*T2^16 + 263*T1^12*T2^16 - 223*T1^13*T2^16 + 128*T1^14*T2^16 - 
      48*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8))}, 
 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, -((17 - 75*T1 + 190*T1^2 - 304*T1^3 + 353*T1^4 - 304*T1^5 + 
      190*T1^6 - 75*T1^7 + 17*T1^8 - 75*T2 + 256*T1*T2 - 507*T1^2*T2 + 
      503*T1^3*T2 - 216*T1^4*T2 - 216*T1^5*T2 + 503*T1^6*T2 - 507*T1^7*T2 + 
      256*T1^8*T2 - 75*T1^9*T2 + 190*T2^2 - 507*T1*T2^2 + 836*T1^2*T2^2 - 
      467*T1^3*T2^2 - 6*T1^4*T2^2 + 268*T1^5*T2^2 - 6*T1^6*T2^2 - 
      467*T1^7*T2^2 + 836*T1^8*T2^2 - 507*T1^9*T2^2 + 190*T1^10*T2^2 - 
      304*T2^3 + 503*T1*T2^3 - 467*T1^2*T2^3 - 752*T1^3*T2^3 + 
      990*T1^4*T2^3 - 523*T1^5*T2^3 - 523*T1^6*T2^3 + 990*T1^7*T2^3 - 
      752*T1^8*T2^3 - 467*T1^9*T2^3 + 503*T1^10*T2^3 - 304*T1^11*T2^3 + 
      353*T2^4 - 216*T1*T2^4 - 6*T1^2*T2^4 + 990*T1^3*T2^4 + 1108*T1^4*T2^4 - 
      3128*T1^5*T2^4 + 4320*T1^6*T2^4 - 3128*T1^7*T2^4 + 1108*T1^8*T2^4 + 
      990*T1^9*T2^4 - 6*T1^10*T2^4 - 216*T1^11*T2^4 + 353*T1^12*T2^4 - 
      304*T2^5 - 216*T1*T2^5 + 268*T1^2*T2^5 - 523*T1^3*T2^5 - 
      3128*T1^4*T2^5 + 3454*T1^5*T2^5 - 1818*T1^6*T2^5 - 1818*T1^7*T2^5 + 
      3454*T1^8*T2^5 - 3128*T1^9*T2^5 - 523*T1^10*T2^5 + 268*T1^11*T2^5 - 
      216*T1^12*T2^5 - 304*T1^13*T2^5 + 190*T2^6 + 503*T1*T2^6 - 
      6*T1^2*T2^6 - 523*T1^3*T2^6 + 4320*T1^4*T2^6 - 1818*T1^5*T2^6 - 
      708*T1^6*T2^6 + 2774*T1^7*T2^6 - 708*T1^8*T2^6 - 1818*T1^9*T2^6 + 
      4320*T1^10*T2^6 - 523*T1^11*T2^6 - 6*T1^12*T2^6 + 503*T1^13*T2^6 + 
      190*T1^14*T2^6 - 75*T2^7 - 507*T1*T2^7 - 467*T1^2*T2^7 + 
      990*T1^3*T2^7 - 3128*T1^4*T2^7 - 1818*T1^5*T2^7 + 2774*T1^6*T2^7 - 
      1940*T1^7*T2^7 - 1940*T1^8*T2^7 + 2774*T1^9*T2^7 - 1818*T1^10*T2^7 - 
      3128*T1^11*T2^7 + 990*T1^12*T2^7 - 467*T1^13*T2^7 - 507*T1^14*T2^7 - 
      75*T1^15*T2^7 + 17*T2^8 + 256*T1*T2^8 + 836*T1^2*T2^8 - 752*T1^3*T2^8 + 
      1108*T1^4*T2^8 + 3454*T1^5*T2^8 - 708*T1^6*T2^8 - 1940*T1^7*T2^8 + 
      4416*T1^8*T2^8 - 1940*T1^9*T2^8 - 708*T1^10*T2^8 + 3454*T1^11*T2^8 + 
      1108*T1^12*T2^8 - 752*T1^13*T2^8 + 836*T1^14*T2^8 + 256*T1^15*T2^8 + 
      17*T1^16*T2^8 - 75*T1*T2^9 - 507*T1^2*T2^9 - 467*T1^3*T2^9 + 
      990*T1^4*T2^9 - 3128*T1^5*T2^9 - 1818*T1^6*T2^9 + 2774*T1^7*T2^9 - 
      1940*T1^8*T2^9 - 1940*T1^9*T2^9 + 2774*T1^10*T2^9 - 1818*T1^11*T2^9 - 
      3128*T1^12*T2^9 + 990*T1^13*T2^9 - 467*T1^14*T2^9 - 507*T1^15*T2^9 - 
      75*T1^16*T2^9 + 190*T1^2*T2^10 + 503*T1^3*T2^10 - 6*T1^4*T2^10 - 
      523*T1^5*T2^10 + 4320*T1^6*T2^10 - 1818*T1^7*T2^10 - 708*T1^8*T2^10 + 
      2774*T1^9*T2^10 - 708*T1^10*T2^10 - 1818*T1^11*T2^10 + 
      4320*T1^12*T2^10 - 523*T1^13*T2^10 - 6*T1^14*T2^10 + 503*T1^15*T2^10 + 
      190*T1^16*T2^10 - 304*T1^3*T2^11 - 216*T1^4*T2^11 + 268*T1^5*T2^11 - 
      523*T1^6*T2^11 - 3128*T1^7*T2^11 + 3454*T1^8*T2^11 - 1818*T1^9*T2^11 - 
      1818*T1^10*T2^11 + 3454*T1^11*T2^11 - 3128*T1^12*T2^11 - 
      523*T1^13*T2^11 + 268*T1^14*T2^11 - 216*T1^15*T2^11 - 304*T1^16*T2^11 + 
      353*T1^4*T2^12 - 216*T1^5*T2^12 - 6*T1^6*T2^12 + 990*T1^7*T2^12 + 
      1108*T1^8*T2^12 - 3128*T1^9*T2^12 + 4320*T1^10*T2^12 - 
      3128*T1^11*T2^12 + 1108*T1^12*T2^12 + 990*T1^13*T2^12 - 6*T1^14*T2^12 - 
      216*T1^15*T2^12 + 353*T1^16*T2^12 - 304*T1^5*T2^13 + 503*T1^6*T2^13 - 
      467*T1^7*T2^13 - 752*T1^8*T2^13 + 990*T1^9*T2^13 - 523*T1^10*T2^13 - 
      523*T1^11*T2^13 + 990*T1^12*T2^13 - 752*T1^13*T2^13 - 467*T1^14*T2^13 + 
      503*T1^15*T2^13 - 304*T1^16*T2^13 + 190*T1^6*T2^14 - 507*T1^7*T2^14 + 
      836*T1^8*T2^14 - 467*T1^9*T2^14 - 6*T1^10*T2^14 + 268*T1^11*T2^14 - 
      6*T1^12*T2^14 - 467*T1^13*T2^14 + 836*T1^14*T2^14 - 507*T1^15*T2^14 + 
      190*T1^16*T2^14 - 75*T1^7*T2^15 + 256*T1^8*T2^15 - 507*T1^9*T2^15 + 
      503*T1^10*T2^15 - 216*T1^11*T2^15 - 216*T1^12*T2^15 + 503*T1^13*T2^15 - 
      507*T1^14*T2^15 + 256*T1^15*T2^15 - 75*T1^16*T2^15 + 17*T1^8*T2^16 - 
      75*T1^9*T2^16 + 190*T1^10*T2^16 - 304*T1^11*T2^16 + 353*T1^12*T2^16 - 
      304*T1^13*T2^16 + 190*T1^14*T2^16 - 75*T1^15*T2^16 + 17*T1^16*T2^16)/
     (T1^8*T2^8))}, 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), -((25 - 111*T1 + 231*T1^2 - 350*T1^3 + 397*T1^4 - 350*T1^5 + 
      231*T1^6 - 111*T1^7 + 25*T1^8 - 111*T2 + 384*T1*T2 - 540*T1^2*T2 + 
      537*T1^3*T2 - 213*T1^4*T2 - 213*T1^5*T2 + 537*T1^6*T2 - 540*T1^7*T2 + 
      384*T1^8*T2 - 111*T1^9*T2 + 231*T2^2 - 540*T1*T2^2 + 183*T1^2*T2^2 + 
      347*T1^3*T2^2 - 1213*T1^4*T2^2 + 1511*T1^5*T2^2 - 1213*T1^6*T2^2 + 
      347*T1^7*T2^2 + 183*T1^8*T2^2 - 540*T1^9*T2^2 + 231*T1^10*T2^2 - 
      350*T2^3 + 537*T1*T2^3 + 347*T1^2*T2^3 - 628*T1^3*T2^3 + 
      1142*T1^4*T2^3 - 399*T1^5*T2^3 - 399*T1^6*T2^3 + 1142*T1^7*T2^3 - 
      628*T1^8*T2^3 + 347*T1^9*T2^3 + 537*T1^10*T2^3 - 350*T1^11*T2^3 + 
      397*T2^4 - 213*T1*T2^4 - 1213*T1^2*T2^4 + 1142*T1^3*T2^4 - 
      1969*T1^4*T2^4 + 1130*T1^5*T2^4 - 1249*T1^6*T2^4 + 1130*T1^7*T2^4 - 
      1969*T1^8*T2^4 + 1142*T1^9*T2^4 - 1213*T1^10*T2^4 - 213*T1^11*T2^4 + 
      397*T1^12*T2^4 - 350*T2^5 - 213*T1*T2^5 + 1511*T1^2*T2^5 - 
      399*T1^3*T2^5 + 1130*T1^4*T2^5 + 386*T1^5*T2^5 + 213*T1^6*T2^5 + 
      213*T1^7*T2^5 + 386*T1^8*T2^5 + 1130*T1^9*T2^5 - 399*T1^10*T2^5 + 
      1511*T1^11*T2^5 - 213*T1^12*T2^5 - 350*T1^13*T2^5 + 231*T2^6 + 
      537*T1*T2^6 - 1213*T1^2*T2^6 - 399*T1^3*T2^6 - 1249*T1^4*T2^6 + 
      213*T1^5*T2^6 - 2225*T1^6*T2^6 + 1737*T1^7*T2^6 - 2225*T1^8*T2^6 + 
      213*T1^9*T2^6 - 1249*T1^10*T2^6 - 399*T1^11*T2^6 - 1213*T1^12*T2^6 + 
      537*T1^13*T2^6 + 231*T1^14*T2^6 - 111*T2^7 - 540*T1*T2^7 + 
      347*T1^2*T2^7 + 1142*T1^3*T2^7 + 1130*T1^4*T2^7 + 213*T1^5*T2^7 + 
      1737*T1^6*T2^7 + 44*T1^7*T2^7 + 44*T1^8*T2^7 + 1737*T1^9*T2^7 + 
      213*T1^10*T2^7 + 1130*T1^11*T2^7 + 1142*T1^12*T2^7 + 347*T1^13*T2^7 - 
      540*T1^14*T2^7 - 111*T1^15*T2^7 + 25*T2^8 + 384*T1*T2^8 + 
      183*T1^2*T2^8 - 628*T1^3*T2^8 - 1969*T1^4*T2^8 + 386*T1^5*T2^8 - 
      2225*T1^6*T2^8 + 44*T1^7*T2^8 - 864*T1^8*T2^8 + 44*T1^9*T2^8 - 
      2225*T1^10*T2^8 + 386*T1^11*T2^8 - 1969*T1^12*T2^8 - 628*T1^13*T2^8 + 
      183*T1^14*T2^8 + 384*T1^15*T2^8 + 25*T1^16*T2^8 - 111*T1*T2^9 - 
      540*T1^2*T2^9 + 347*T1^3*T2^9 + 1142*T1^4*T2^9 + 1130*T1^5*T2^9 + 
      213*T1^6*T2^9 + 1737*T1^7*T2^9 + 44*T1^8*T2^9 + 44*T1^9*T2^9 + 
      1737*T1^10*T2^9 + 213*T1^11*T2^9 + 1130*T1^12*T2^9 + 1142*T1^13*T2^9 + 
      347*T1^14*T2^9 - 540*T1^15*T2^9 - 111*T1^16*T2^9 + 231*T1^2*T2^10 + 
      537*T1^3*T2^10 - 1213*T1^4*T2^10 - 399*T1^5*T2^10 - 1249*T1^6*T2^10 + 
      213*T1^7*T2^10 - 2225*T1^8*T2^10 + 1737*T1^9*T2^10 - 2225*T1^10*T2^10 + 
      213*T1^11*T2^10 - 1249*T1^12*T2^10 - 399*T1^13*T2^10 - 
      1213*T1^14*T2^10 + 537*T1^15*T2^10 + 231*T1^16*T2^10 - 350*T1^3*T2^11 - 
      213*T1^4*T2^11 + 1511*T1^5*T2^11 - 399*T1^6*T2^11 + 1130*T1^7*T2^11 + 
      386*T1^8*T2^11 + 213*T1^9*T2^11 + 213*T1^10*T2^11 + 386*T1^11*T2^11 + 
      1130*T1^12*T2^11 - 399*T1^13*T2^11 + 1511*T1^14*T2^11 - 
      213*T1^15*T2^11 - 350*T1^16*T2^11 + 397*T1^4*T2^12 - 213*T1^5*T2^12 - 
      1213*T1^6*T2^12 + 1142*T1^7*T2^12 - 1969*T1^8*T2^12 + 1130*T1^9*T2^12 - 
      1249*T1^10*T2^12 + 1130*T1^11*T2^12 - 1969*T1^12*T2^12 + 
      1142*T1^13*T2^12 - 1213*T1^14*T2^12 - 213*T1^15*T2^12 + 
      397*T1^16*T2^12 - 350*T1^5*T2^13 + 537*T1^6*T2^13 + 347*T1^7*T2^13 - 
      628*T1^8*T2^13 + 1142*T1^9*T2^13 - 399*T1^10*T2^13 - 399*T1^11*T2^13 + 
      1142*T1^12*T2^13 - 628*T1^13*T2^13 + 347*T1^14*T2^13 + 
      537*T1^15*T2^13 - 350*T1^16*T2^13 + 231*T1^6*T2^14 - 540*T1^7*T2^14 + 
      183*T1^8*T2^14 + 347*T1^9*T2^14 - 1213*T1^10*T2^14 + 1511*T1^11*T2^14 - 
      1213*T1^12*T2^14 + 347*T1^13*T2^14 + 183*T1^14*T2^14 - 
      540*T1^15*T2^14 + 231*T1^16*T2^14 - 111*T1^7*T2^15 + 384*T1^8*T2^15 - 
      540*T1^9*T2^15 + 537*T1^10*T2^15 - 213*T1^11*T2^15 - 213*T1^12*T2^15 + 
      537*T1^13*T2^15 - 540*T1^14*T2^15 + 384*T1^15*T2^15 - 111*T1^16*T2^15 + 
      25*T1^8*T2^16 - 111*T1^9*T2^16 + 231*T1^10*T2^16 - 350*T1^11*T2^16 + 
      397*T1^12*T2^16 - 350*T1^13*T2^16 + 231*T1^14*T2^16 - 111*T1^15*T2^16 + 
      25*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 591] -> 
  {-((3 - 13*T + 24*T^2 - 29*T^3 + 24*T^4 - 13*T^5 + 3*T^6)/T^3), 
   -((63 - 269*T1 + 492*T1^2 - 595*T1^3 + 492*T1^4 - 269*T1^5 + 63*T1^6 - 
      269*T2 + 882*T1*T2 - 957*T1^2*T2 + 441*T1^3*T2 + 441*T1^4*T2 - 
      957*T1^5*T2 + 882*T1^6*T2 - 269*T1^7*T2 + 492*T2^2 - 957*T1*T2^2 - 
      582*T1^2*T2^2 + 2327*T1^3*T2^2 - 3300*T1^4*T2^2 + 2327*T1^5*T2^2 - 
      582*T1^6*T2^2 - 957*T1^7*T2^2 + 492*T1^8*T2^2 - 595*T2^3 + 
      441*T1*T2^3 + 2327*T1^2*T2^3 - 2806*T1^3*T2^3 + 1519*T1^4*T2^3 + 
      1519*T1^5*T2^3 - 2806*T1^6*T2^3 + 2327*T1^7*T2^3 + 441*T1^8*T2^3 - 
      595*T1^9*T2^3 + 492*T2^4 + 441*T1*T2^4 - 3300*T1^2*T2^4 + 
      1519*T1^3*T2^4 + 581*T1^4*T2^4 - 2533*T1^5*T2^4 + 581*T1^6*T2^4 + 
      1519*T1^7*T2^4 - 3300*T1^8*T2^4 + 441*T1^9*T2^4 + 492*T1^10*T2^4 - 
      269*T2^5 - 957*T1*T2^5 + 2327*T1^2*T2^5 + 1519*T1^3*T2^5 - 
      2533*T1^4*T2^5 + 1982*T1^5*T2^5 + 1982*T1^6*T2^5 - 2533*T1^7*T2^5 + 
      1519*T1^8*T2^5 + 2327*T1^9*T2^5 - 957*T1^10*T2^5 - 269*T1^11*T2^5 + 
      63*T2^6 + 882*T1*T2^6 - 582*T1^2*T2^6 - 2806*T1^3*T2^6 + 
      581*T1^4*T2^6 + 1982*T1^5*T2^6 - 4788*T1^6*T2^6 + 1982*T1^7*T2^6 + 
      581*T1^8*T2^6 - 2806*T1^9*T2^6 - 582*T1^10*T2^6 + 882*T1^11*T2^6 + 
      63*T1^12*T2^6 - 269*T1*T2^7 - 957*T1^2*T2^7 + 2327*T1^3*T2^7 + 
      1519*T1^4*T2^7 - 2533*T1^5*T2^7 + 1982*T1^6*T2^7 + 1982*T1^7*T2^7 - 
      2533*T1^8*T2^7 + 1519*T1^9*T2^7 + 2327*T1^10*T2^7 - 957*T1^11*T2^7 - 
      269*T1^12*T2^7 + 492*T1^2*T2^8 + 441*T1^3*T2^8 - 3300*T1^4*T2^8 + 
      1519*T1^5*T2^8 + 581*T1^6*T2^8 - 2533*T1^7*T2^8 + 581*T1^8*T2^8 + 
      1519*T1^9*T2^8 - 3300*T1^10*T2^8 + 441*T1^11*T2^8 + 492*T1^12*T2^8 - 
      595*T1^3*T2^9 + 441*T1^4*T2^9 + 2327*T1^5*T2^9 - 2806*T1^6*T2^9 + 
      1519*T1^7*T2^9 + 1519*T1^8*T2^9 - 2806*T1^9*T2^9 + 2327*T1^10*T2^9 + 
      441*T1^11*T2^9 - 595*T1^12*T2^9 + 492*T1^4*T2^10 - 957*T1^5*T2^10 - 
      582*T1^6*T2^10 + 2327*T1^7*T2^10 - 3300*T1^8*T2^10 + 2327*T1^9*T2^10 - 
      582*T1^10*T2^10 - 957*T1^11*T2^10 + 492*T1^12*T2^10 - 269*T1^5*T2^11 + 
      882*T1^6*T2^11 - 957*T1^7*T2^11 + 441*T1^8*T2^11 + 441*T1^9*T2^11 - 
      957*T1^10*T2^11 + 882*T1^11*T2^11 - 269*T1^12*T2^11 + 63*T1^6*T2^12 - 
      269*T1^7*T2^12 + 492*T1^8*T2^12 - 595*T1^9*T2^12 + 492*T1^10*T2^12 - 
      269*T1^11*T2^12 + 63*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 592] -> 
  {-((5 - 24*T + 49*T^2 - 61*T^3 + 49*T^4 - 24*T^5 + 5*T^6)/T^3), 
   -((270 - 1275*T1 + 2556*T1^2 - 3164*T1^3 + 2556*T1^4 - 1275*T1^5 + 
      270*T1^6 - 1275*T2 + 4772*T1*T2 - 6127*T1^2*T2 + 2918*T1^3*T2 + 
      2918*T1^4*T2 - 6127*T1^5*T2 + 4772*T1^6*T2 - 1275*T1^7*T2 + 2556*T2^2 - 
      6127*T1*T2^2 - 1637*T1^2*T2^2 + 15620*T1^3*T2^2 - 23253*T1^4*T2^2 + 
      15620*T1^5*T2^2 - 1637*T1^6*T2^2 - 6127*T1^7*T2^2 + 2556*T1^8*T2^2 - 
      3164*T2^3 + 2918*T1*T2^3 + 15620*T1^2*T2^3 - 25830*T1^3*T2^3 + 
      13644*T1^4*T2^3 + 13644*T1^5*T2^3 - 25830*T1^6*T2^3 + 15620*T1^7*T2^3 + 
      2918*T1^8*T2^3 - 3164*T1^9*T2^3 + 2556*T2^4 + 2918*T1*T2^4 - 
      23253*T1^2*T2^4 + 13644*T1^3*T2^4 + 14939*T1^4*T2^4 - 33511*T1^5*T2^4 + 
      14939*T1^6*T2^4 + 13644*T1^7*T2^4 - 23253*T1^8*T2^4 + 2918*T1^9*T2^4 + 
      2556*T1^10*T2^4 - 1275*T2^5 - 6127*T1*T2^5 + 15620*T1^2*T2^5 + 
      13644*T1^3*T2^5 - 33511*T1^4*T2^5 + 20108*T1^5*T2^5 + 20108*T1^6*T2^5 - 
      33511*T1^7*T2^5 + 13644*T1^8*T2^5 + 15620*T1^9*T2^5 - 6127*T1^10*T2^5 - 
      1275*T1^11*T2^5 + 270*T2^6 + 4772*T1*T2^6 - 1637*T1^2*T2^6 - 
      25830*T1^3*T2^6 + 14939*T1^4*T2^6 + 20108*T1^5*T2^6 - 44196*T1^6*T2^6 + 
      20108*T1^7*T2^6 + 14939*T1^8*T2^6 - 25830*T1^9*T2^6 - 1637*T1^10*T2^6 + 
      4772*T1^11*T2^6 + 270*T1^12*T2^6 - 1275*T1*T2^7 - 6127*T1^2*T2^7 + 
      15620*T1^3*T2^7 + 13644*T1^4*T2^7 - 33511*T1^5*T2^7 + 20108*T1^6*T2^7 + 
      20108*T1^7*T2^7 - 33511*T1^8*T2^7 + 13644*T1^9*T2^7 + 
      15620*T1^10*T2^7 - 6127*T1^11*T2^7 - 1275*T1^12*T2^7 + 2556*T1^2*T2^8 + 
      2918*T1^3*T2^8 - 23253*T1^4*T2^8 + 13644*T1^5*T2^8 + 14939*T1^6*T2^8 - 
      33511*T1^7*T2^8 + 14939*T1^8*T2^8 + 13644*T1^9*T2^8 - 
      23253*T1^10*T2^8 + 2918*T1^11*T2^8 + 2556*T1^12*T2^8 - 3164*T1^3*T2^9 + 
      2918*T1^4*T2^9 + 15620*T1^5*T2^9 - 25830*T1^6*T2^9 + 13644*T1^7*T2^9 + 
      13644*T1^8*T2^9 - 25830*T1^9*T2^9 + 15620*T1^10*T2^9 + 
      2918*T1^11*T2^9 - 3164*T1^12*T2^9 + 2556*T1^4*T2^10 - 6127*T1^5*T2^10 - 
      1637*T1^6*T2^10 + 15620*T1^7*T2^10 - 23253*T1^8*T2^10 + 
      15620*T1^9*T2^10 - 1637*T1^10*T2^10 - 6127*T1^11*T2^10 + 
      2556*T1^12*T2^10 - 1275*T1^5*T2^11 + 4772*T1^6*T2^11 - 
      6127*T1^7*T2^11 + 2918*T1^8*T2^11 + 2918*T1^9*T2^11 - 
      6127*T1^10*T2^11 + 4772*T1^11*T2^11 - 1275*T1^12*T2^11 + 
      270*T1^6*T2^12 - 1275*T1^7*T2^12 + 2556*T1^8*T2^12 - 3164*T1^9*T2^12 + 
      2556*T1^10*T2^12 - 1275*T1^11*T2^12 + 270*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 593] -> 
  {-((4 - 19*T + 41*T^2 - 53*T^3 + 41*T^4 - 19*T^5 + 4*T^6)/T^3), 
   -((4*T1 - 8*T1^2 + 8*T1^3 - 8*T1^4 + 4*T1^5 + 4*T2 - 30*T1*T2 + 
      33*T1^2*T2 - 9*T1^3*T2 - 9*T1^4*T2 + 33*T1^5*T2 - 30*T1^6*T2 + 
      4*T1^7*T2 - 8*T2^2 + 33*T1*T2^2 + 119*T1^2*T2^2 - 355*T1^3*T2^2 + 
      433*T1^4*T2^2 - 355*T1^5*T2^2 + 119*T1^6*T2^2 + 33*T1^7*T2^2 - 
      8*T1^8*T2^2 + 8*T2^3 - 9*T1*T2^3 - 355*T1^2*T2^3 + 612*T1^3*T2^3 - 
      246*T1^4*T2^3 - 246*T1^5*T2^3 + 612*T1^6*T2^3 - 355*T1^7*T2^3 - 
      9*T1^8*T2^3 + 8*T1^9*T2^3 - 8*T2^4 - 9*T1*T2^4 + 433*T1^2*T2^4 - 
      246*T1^3*T2^4 - 789*T1^4*T2^4 + 1087*T1^5*T2^4 - 789*T1^6*T2^4 - 
      246*T1^7*T2^4 + 433*T1^8*T2^4 - 9*T1^9*T2^4 - 8*T1^10*T2^4 + 4*T2^5 + 
      33*T1*T2^5 - 355*T1^2*T2^5 - 246*T1^3*T2^5 + 1087*T1^4*T2^5 - 
      350*T1^5*T2^5 - 350*T1^6*T2^5 + 1087*T1^7*T2^5 - 246*T1^8*T2^5 - 
      355*T1^9*T2^5 + 33*T1^10*T2^5 + 4*T1^11*T2^5 - 30*T1*T2^6 + 
      119*T1^2*T2^6 + 612*T1^3*T2^6 - 789*T1^4*T2^6 - 350*T1^5*T2^6 + 
      432*T1^6*T2^6 - 350*T1^7*T2^6 - 789*T1^8*T2^6 + 612*T1^9*T2^6 + 
      119*T1^10*T2^6 - 30*T1^11*T2^6 + 4*T1*T2^7 + 33*T1^2*T2^7 - 
      355*T1^3*T2^7 - 246*T1^4*T2^7 + 1087*T1^5*T2^7 - 350*T1^6*T2^7 - 
      350*T1^7*T2^7 + 1087*T1^8*T2^7 - 246*T1^9*T2^7 - 355*T1^10*T2^7 + 
      33*T1^11*T2^7 + 4*T1^12*T2^7 - 8*T1^2*T2^8 - 9*T1^3*T2^8 + 
      433*T1^4*T2^8 - 246*T1^5*T2^8 - 789*T1^6*T2^8 + 1087*T1^7*T2^8 - 
      789*T1^8*T2^8 - 246*T1^9*T2^8 + 433*T1^10*T2^8 - 9*T1^11*T2^8 - 
      8*T1^12*T2^8 + 8*T1^3*T2^9 - 9*T1^4*T2^9 - 355*T1^5*T2^9 + 
      612*T1^6*T2^9 - 246*T1^7*T2^9 - 246*T1^8*T2^9 + 612*T1^9*T2^9 - 
      355*T1^10*T2^9 - 9*T1^11*T2^9 + 8*T1^12*T2^9 - 8*T1^4*T2^10 + 
      33*T1^5*T2^10 + 119*T1^6*T2^10 - 355*T1^7*T2^10 + 433*T1^8*T2^10 - 
      355*T1^9*T2^10 + 119*T1^10*T2^10 + 33*T1^11*T2^10 - 8*T1^12*T2^10 + 
      4*T1^5*T2^11 - 30*T1^6*T2^11 + 33*T1^7*T2^11 - 9*T1^8*T2^11 - 
      9*T1^9*T2^11 + 33*T1^10*T2^11 - 30*T1^11*T2^11 + 4*T1^12*T2^11 + 
      4*T1^7*T2^12 - 8*T1^8*T2^12 + 8*T1^9*T2^12 - 8*T1^10*T2^12 + 
      4*T1^11*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 594] -> 
  {((1 - T + T^2)^2*(3 - 5*T + 3*T^2))/T^3, 
   (-2*(18 - 65*T1 + 130*T1^2 - 159*T1^3 + 130*T1^4 - 65*T1^5 + 18*T1^6 - 
      65*T2 + 170*T1*T2 - 235*T1^2*T2 + 105*T1^3*T2 + 105*T1^4*T2 - 
      235*T1^5*T2 + 170*T1^6*T2 - 65*T1^7*T2 + 130*T2^2 - 235*T1*T2^2 + 
      218*T1^2*T2^2 + 111*T1^3*T2^2 - 260*T1^4*T2^2 + 111*T1^5*T2^2 + 
      218*T1^6*T2^2 - 235*T1^7*T2^2 + 130*T1^8*T2^2 - 159*T2^3 + 
      105*T1*T2^3 + 111*T1^2*T2^3 - 573*T1^3*T2^3 + 288*T1^4*T2^3 + 
      288*T1^5*T2^3 - 573*T1^6*T2^3 + 111*T1^7*T2^3 + 105*T1^8*T2^3 - 
      159*T1^9*T2^3 + 130*T2^4 + 105*T1*T2^4 - 260*T1^2*T2^4 + 
      288*T1^3*T2^4 + 818*T1^4*T2^4 - 1366*T1^5*T2^4 + 818*T1^6*T2^4 + 
      288*T1^7*T2^4 - 260*T1^8*T2^4 + 105*T1^9*T2^4 + 130*T1^10*T2^4 - 
      65*T2^5 - 235*T1*T2^5 + 111*T1^2*T2^5 + 288*T1^3*T2^5 - 
      1366*T1^4*T2^5 + 728*T1^5*T2^5 + 728*T1^6*T2^5 - 1366*T1^7*T2^5 + 
      288*T1^8*T2^5 + 111*T1^9*T2^5 - 235*T1^10*T2^5 - 65*T1^11*T2^5 + 
      18*T2^6 + 170*T1*T2^6 + 218*T1^2*T2^6 - 573*T1^3*T2^6 + 818*T1^4*T2^6 + 
      728*T1^5*T2^6 - 1572*T1^6*T2^6 + 728*T1^7*T2^6 + 818*T1^8*T2^6 - 
      573*T1^9*T2^6 + 218*T1^10*T2^6 + 170*T1^11*T2^6 + 18*T1^12*T2^6 - 
      65*T1*T2^7 - 235*T1^2*T2^7 + 111*T1^3*T2^7 + 288*T1^4*T2^7 - 
      1366*T1^5*T2^7 + 728*T1^6*T2^7 + 728*T1^7*T2^7 - 1366*T1^8*T2^7 + 
      288*T1^9*T2^7 + 111*T1^10*T2^7 - 235*T1^11*T2^7 - 65*T1^12*T2^7 + 
      130*T1^2*T2^8 + 105*T1^3*T2^8 - 260*T1^4*T2^8 + 288*T1^5*T2^8 + 
      818*T1^6*T2^8 - 1366*T1^7*T2^8 + 818*T1^8*T2^8 + 288*T1^9*T2^8 - 
      260*T1^10*T2^8 + 105*T1^11*T2^8 + 130*T1^12*T2^8 - 159*T1^3*T2^9 + 
      105*T1^4*T2^9 + 111*T1^5*T2^9 - 573*T1^6*T2^9 + 288*T1^7*T2^9 + 
      288*T1^8*T2^9 - 573*T1^9*T2^9 + 111*T1^10*T2^9 + 105*T1^11*T2^9 - 
      159*T1^12*T2^9 + 130*T1^4*T2^10 - 235*T1^5*T2^10 + 218*T1^6*T2^10 + 
      111*T1^7*T2^10 - 260*T1^8*T2^10 + 111*T1^9*T2^10 + 218*T1^10*T2^10 - 
      235*T1^11*T2^10 + 130*T1^12*T2^10 - 65*T1^5*T2^11 + 170*T1^6*T2^11 - 
      235*T1^7*T2^11 + 105*T1^8*T2^11 + 105*T1^9*T2^11 - 235*T1^10*T2^11 + 
      170*T1^11*T2^11 - 65*T1^12*T2^11 + 18*T1^6*T2^12 - 65*T1^7*T2^12 + 
      130*T1^8*T2^12 - 159*T1^9*T2^12 + 130*T1^10*T2^12 - 65*T1^11*T2^12 + 
      18*T1^12*T2^12))/(T1^6*T2^6)}, Knot[12, Alternating, 595] -> 
  {(2 - 13*T + 33*T^2 - 43*T^3 + 33*T^4 - 13*T^5 + 2*T^6)/T^3, 
   (7 - 45*T1 + 113*T1^2 - 147*T1^3 + 113*T1^4 - 45*T1^5 + 7*T1^6 - 45*T2 + 
     244*T1*T2 - 436*T1^2*T2 + 218*T1^3*T2 + 218*T1^4*T2 - 436*T1^5*T2 + 
     244*T1^6*T2 - 45*T1^7*T2 + 113*T2^2 - 436*T1*T2^2 + 117*T1^2*T2^2 + 
     1413*T1^3*T2^2 - 2221*T1^4*T2^2 + 1413*T1^5*T2^2 + 117*T1^6*T2^2 - 
     436*T1^7*T2^2 + 113*T1^8*T2^2 - 147*T2^3 + 218*T1*T2^3 + 
     1413*T1^2*T2^3 - 3704*T1^3*T2^3 + 1946*T1^4*T2^3 + 1946*T1^5*T2^3 - 
     3704*T1^6*T2^3 + 1413*T1^7*T2^3 + 218*T1^8*T2^3 - 147*T1^9*T2^3 + 
     113*T2^4 + 218*T1*T2^4 - 2221*T1^2*T2^4 + 1946*T1^3*T2^4 + 
     4580*T1^4*T2^4 - 8260*T1^5*T2^4 + 4580*T1^6*T2^4 + 1946*T1^7*T2^4 - 
     2221*T1^8*T2^4 + 218*T1^9*T2^4 + 113*T1^10*T2^4 - 45*T2^5 - 
     436*T1*T2^5 + 1413*T1^2*T2^5 + 1946*T1^3*T2^5 - 8260*T1^4*T2^5 + 
     4702*T1^5*T2^5 + 4702*T1^6*T2^5 - 8260*T1^7*T2^5 + 1946*T1^8*T2^5 + 
     1413*T1^9*T2^5 - 436*T1^10*T2^5 - 45*T1^11*T2^5 + 7*T2^6 + 244*T1*T2^6 + 
     117*T1^2*T2^6 - 3704*T1^3*T2^6 + 4580*T1^4*T2^6 + 4702*T1^5*T2^6 - 
     10416*T1^6*T2^6 + 4702*T1^7*T2^6 + 4580*T1^8*T2^6 - 3704*T1^9*T2^6 + 
     117*T1^10*T2^6 + 244*T1^11*T2^6 + 7*T1^12*T2^6 - 45*T1*T2^7 - 
     436*T1^2*T2^7 + 1413*T1^3*T2^7 + 1946*T1^4*T2^7 - 8260*T1^5*T2^7 + 
     4702*T1^6*T2^7 + 4702*T1^7*T2^7 - 8260*T1^8*T2^7 + 1946*T1^9*T2^7 + 
     1413*T1^10*T2^7 - 436*T1^11*T2^7 - 45*T1^12*T2^7 + 113*T1^2*T2^8 + 
     218*T1^3*T2^8 - 2221*T1^4*T2^8 + 1946*T1^5*T2^8 + 4580*T1^6*T2^8 - 
     8260*T1^7*T2^8 + 4580*T1^8*T2^8 + 1946*T1^9*T2^8 - 2221*T1^10*T2^8 + 
     218*T1^11*T2^8 + 113*T1^12*T2^8 - 147*T1^3*T2^9 + 218*T1^4*T2^9 + 
     1413*T1^5*T2^9 - 3704*T1^6*T2^9 + 1946*T1^7*T2^9 + 1946*T1^8*T2^9 - 
     3704*T1^9*T2^9 + 1413*T1^10*T2^9 + 218*T1^11*T2^9 - 147*T1^12*T2^9 + 
     113*T1^4*T2^10 - 436*T1^5*T2^10 + 117*T1^6*T2^10 + 1413*T1^7*T2^10 - 
     2221*T1^8*T2^10 + 1413*T1^9*T2^10 + 117*T1^10*T2^10 - 436*T1^11*T2^10 + 
     113*T1^12*T2^10 - 45*T1^5*T2^11 + 244*T1^6*T2^11 - 436*T1^7*T2^11 + 
     218*T1^8*T2^11 + 218*T1^9*T2^11 - 436*T1^10*T2^11 + 244*T1^11*T2^11 - 
     45*T1^12*T2^11 + 7*T1^6*T2^12 - 45*T1^7*T2^12 + 113*T1^8*T2^12 - 
     147*T1^9*T2^12 + 113*T1^10*T2^12 - 45*T1^11*T2^12 + 7*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 596] -> 
  {((3 - 4*T + 2*T^2)*(2 - 4*T + 3*T^2))/T^2, 
   -((99 - 331*T1 + 493*T1^2 - 331*T1^3 + 99*T1^4 - 331*T2 + 780*T1*T2 - 
      546*T1^2*T2 - 546*T1^3*T2 + 780*T1^4*T2 - 331*T1^5*T2 + 493*T2^2 - 
      546*T1*T2^2 - 572*T1^2*T2^2 + 1904*T1^3*T2^2 - 572*T1^4*T2^2 - 
      546*T1^5*T2^2 + 493*T1^6*T2^2 - 331*T2^3 - 546*T1*T2^3 + 
      1904*T1^2*T2^3 - 1686*T1^3*T2^3 - 1686*T1^4*T2^3 + 1904*T1^5*T2^3 - 
      546*T1^6*T2^3 - 331*T1^7*T2^3 + 99*T2^4 + 780*T1*T2^4 - 572*T1^2*T2^4 - 
      1686*T1^3*T2^4 + 4416*T1^4*T2^4 - 1686*T1^5*T2^4 - 572*T1^6*T2^4 + 
      780*T1^7*T2^4 + 99*T1^8*T2^4 - 331*T1*T2^5 - 546*T1^2*T2^5 + 
      1904*T1^3*T2^5 - 1686*T1^4*T2^5 - 1686*T1^5*T2^5 + 1904*T1^6*T2^5 - 
      546*T1^7*T2^5 - 331*T1^8*T2^5 + 493*T1^2*T2^6 - 546*T1^3*T2^6 - 
      572*T1^4*T2^6 + 1904*T1^5*T2^6 - 572*T1^6*T2^6 - 546*T1^7*T2^6 + 
      493*T1^8*T2^6 - 331*T1^3*T2^7 + 780*T1^4*T2^7 - 546*T1^5*T2^7 - 
      546*T1^6*T2^7 + 780*T1^7*T2^7 - 331*T1^8*T2^7 + 99*T1^4*T2^8 - 
      331*T1^5*T2^8 + 493*T1^6*T2^8 - 331*T1^7*T2^8 + 99*T1^8*T2^8)/
     (T1^4*T2^4))}, Knot[12, Alternating, 597] -> 
  {(2 - 13*T + 29*T^2 - 35*T^3 + 29*T^4 - 13*T^5 + 2*T^6)/T^3, 
   -((7 - 45*T1 + 99*T1^2 - 119*T1^3 + 99*T1^4 - 45*T1^5 + 7*T1^6 - 45*T2 + 
      244*T1*T2 - 346*T1^2*T2 + 128*T1^3*T2 + 128*T1^4*T2 - 346*T1^5*T2 + 
      244*T1^6*T2 - 45*T1^7*T2 + 99*T2^2 - 346*T1*T2^2 - 321*T1^2*T2^2 + 
      1655*T1^3*T2^2 - 1985*T1^4*T2^2 + 1655*T1^5*T2^2 - 321*T1^6*T2^2 - 
      346*T1^7*T2^2 + 99*T1^8*T2^2 - 119*T2^3 + 128*T1*T2^3 + 
      1655*T1^2*T2^3 - 2894*T1^3*T2^3 + 982*T1^4*T2^3 + 982*T1^5*T2^3 - 
      2894*T1^6*T2^3 + 1655*T1^7*T2^3 + 128*T1^8*T2^3 - 119*T1^9*T2^3 + 
      99*T2^4 + 128*T1*T2^4 - 1985*T1^2*T2^4 + 982*T1^3*T2^4 + 
      3718*T1^4*T2^4 - 5100*T1^5*T2^4 + 3718*T1^6*T2^4 + 982*T1^7*T2^4 - 
      1985*T1^8*T2^4 + 128*T1^9*T2^4 + 99*T1^10*T2^4 - 45*T2^5 - 
      346*T1*T2^5 + 1655*T1^2*T2^5 + 982*T1^3*T2^5 - 5100*T1^4*T2^5 + 
      2424*T1^5*T2^5 + 2424*T1^6*T2^5 - 5100*T1^7*T2^5 + 982*T1^8*T2^5 + 
      1655*T1^9*T2^5 - 346*T1^10*T2^5 - 45*T1^11*T2^5 + 7*T2^6 + 
      244*T1*T2^6 - 321*T1^2*T2^6 - 2894*T1^3*T2^6 + 3718*T1^4*T2^6 + 
      2424*T1^5*T2^6 - 5520*T1^6*T2^6 + 2424*T1^7*T2^6 + 3718*T1^8*T2^6 - 
      2894*T1^9*T2^6 - 321*T1^10*T2^6 + 244*T1^11*T2^6 + 7*T1^12*T2^6 - 
      45*T1*T2^7 - 346*T1^2*T2^7 + 1655*T1^3*T2^7 + 982*T1^4*T2^7 - 
      5100*T1^5*T2^7 + 2424*T1^6*T2^7 + 2424*T1^7*T2^7 - 5100*T1^8*T2^7 + 
      982*T1^9*T2^7 + 1655*T1^10*T2^7 - 346*T1^11*T2^7 - 45*T1^12*T2^7 + 
      99*T1^2*T2^8 + 128*T1^3*T2^8 - 1985*T1^4*T2^8 + 982*T1^5*T2^8 + 
      3718*T1^6*T2^8 - 5100*T1^7*T2^8 + 3718*T1^8*T2^8 + 982*T1^9*T2^8 - 
      1985*T1^10*T2^8 + 128*T1^11*T2^8 + 99*T1^12*T2^8 - 119*T1^3*T2^9 + 
      128*T1^4*T2^9 + 1655*T1^5*T2^9 - 2894*T1^6*T2^9 + 982*T1^7*T2^9 + 
      982*T1^8*T2^9 - 2894*T1^9*T2^9 + 1655*T1^10*T2^9 + 128*T1^11*T2^9 - 
      119*T1^12*T2^9 + 99*T1^4*T2^10 - 346*T1^5*T2^10 - 321*T1^6*T2^10 + 
      1655*T1^7*T2^10 - 1985*T1^8*T2^10 + 1655*T1^9*T2^10 - 321*T1^10*T2^10 - 
      346*T1^11*T2^10 + 99*T1^12*T2^10 - 45*T1^5*T2^11 + 244*T1^6*T2^11 - 
      346*T1^7*T2^11 + 128*T1^8*T2^11 + 128*T1^9*T2^11 - 346*T1^10*T2^11 + 
      244*T1^11*T2^11 - 45*T1^12*T2^11 + 7*T1^6*T2^12 - 45*T1^7*T2^12 + 
      99*T1^8*T2^12 - 119*T1^9*T2^12 + 99*T1^10*T2^12 - 45*T1^11*T2^12 + 
      7*T1^12*T2^12)/(T1^6*T2^6))}, 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), -((9 - 43*T1 + 104*T1^2 - 177*T1^3 + 209*T1^4 - 177*T1^5 + 
      104*T1^6 - 43*T1^7 + 9*T1^8 - 43*T2 + 164*T1*T2 - 296*T1^2*T2 + 
      353*T1^3*T2 - 155*T1^4*T2 - 155*T1^5*T2 + 353*T1^6*T2 - 296*T1^7*T2 + 
      164*T1^8*T2 - 43*T1^9*T2 + 104*T2^2 - 296*T1*T2^2 + 325*T1^2*T2^2 - 
      140*T1^3*T2^2 - 476*T1^4*T2^2 + 751*T1^5*T2^2 - 476*T1^6*T2^2 - 
      140*T1^7*T2^2 + 325*T1^8*T2^2 - 296*T1^9*T2^2 + 104*T1^10*T2^2 - 
      177*T2^3 + 353*T1*T2^3 - 140*T1^2*T2^3 - 144*T1^3*T2^3 + 
      837*T1^4*T2^3 - 383*T1^5*T2^3 - 383*T1^6*T2^3 + 837*T1^7*T2^3 - 
      144*T1^8*T2^3 - 140*T1^9*T2^3 + 353*T1^10*T2^3 - 177*T1^11*T2^3 + 
      209*T2^4 - 155*T1*T2^4 - 476*T1^2*T2^4 + 837*T1^3*T2^4 - 
      1771*T1^4*T2^4 + 765*T1^5*T2^4 - 515*T1^6*T2^4 + 765*T1^7*T2^4 - 
      1771*T1^8*T2^4 + 837*T1^9*T2^4 - 476*T1^10*T2^4 - 155*T1^11*T2^4 + 
      209*T1^12*T2^4 - 177*T2^5 - 155*T1*T2^5 + 751*T1^2*T2^5 - 
      383*T1^3*T2^5 + 765*T1^4*T2^5 + 1298*T1^5*T2^5 - 444*T1^6*T2^5 - 
      444*T1^7*T2^5 + 1298*T1^8*T2^5 + 765*T1^9*T2^5 - 383*T1^10*T2^5 + 
      751*T1^11*T2^5 - 155*T1^12*T2^5 - 177*T1^13*T2^5 + 104*T2^6 + 
      353*T1*T2^6 - 476*T1^2*T2^6 - 383*T1^3*T2^6 - 515*T1^4*T2^6 - 
      444*T1^5*T2^6 - 3417*T1^6*T2^6 + 4291*T1^7*T2^6 - 3417*T1^8*T2^6 - 
      444*T1^9*T2^6 - 515*T1^10*T2^6 - 383*T1^11*T2^6 - 476*T1^12*T2^6 + 
      353*T1^13*T2^6 + 104*T1^14*T2^6 - 43*T2^7 - 296*T1*T2^7 - 
      140*T1^2*T2^7 + 837*T1^3*T2^7 + 765*T1^4*T2^7 - 444*T1^5*T2^7 + 
      4291*T1^6*T2^7 - 1508*T1^7*T2^7 - 1508*T1^8*T2^7 + 4291*T1^9*T2^7 - 
      444*T1^10*T2^7 + 765*T1^11*T2^7 + 837*T1^12*T2^7 - 140*T1^13*T2^7 - 
      296*T1^14*T2^7 - 43*T1^15*T2^7 + 9*T2^8 + 164*T1*T2^8 + 325*T1^2*T2^8 - 
      144*T1^3*T2^8 - 1771*T1^4*T2^8 + 1298*T1^5*T2^8 - 3417*T1^6*T2^8 - 
      1508*T1^7*T2^8 + 2508*T1^8*T2^8 - 1508*T1^9*T2^8 - 3417*T1^10*T2^8 + 
      1298*T1^11*T2^8 - 1771*T1^12*T2^8 - 144*T1^13*T2^8 + 325*T1^14*T2^8 + 
      164*T1^15*T2^8 + 9*T1^16*T2^8 - 43*T1*T2^9 - 296*T1^2*T2^9 - 
      140*T1^3*T2^9 + 837*T1^4*T2^9 + 765*T1^5*T2^9 - 444*T1^6*T2^9 + 
      4291*T1^7*T2^9 - 1508*T1^8*T2^9 - 1508*T1^9*T2^9 + 4291*T1^10*T2^9 - 
      444*T1^11*T2^9 + 765*T1^12*T2^9 + 837*T1^13*T2^9 - 140*T1^14*T2^9 - 
      296*T1^15*T2^9 - 43*T1^16*T2^9 + 104*T1^2*T2^10 + 353*T1^3*T2^10 - 
      476*T1^4*T2^10 - 383*T1^5*T2^10 - 515*T1^6*T2^10 - 444*T1^7*T2^10 - 
      3417*T1^8*T2^10 + 4291*T1^9*T2^10 - 3417*T1^10*T2^10 - 
      444*T1^11*T2^10 - 515*T1^12*T2^10 - 383*T1^13*T2^10 - 476*T1^14*T2^10 + 
      353*T1^15*T2^10 + 104*T1^16*T2^10 - 177*T1^3*T2^11 - 155*T1^4*T2^11 + 
      751*T1^5*T2^11 - 383*T1^6*T2^11 + 765*T1^7*T2^11 + 1298*T1^8*T2^11 - 
      444*T1^9*T2^11 - 444*T1^10*T2^11 + 1298*T1^11*T2^11 + 765*T1^12*T2^11 - 
      383*T1^13*T2^11 + 751*T1^14*T2^11 - 155*T1^15*T2^11 - 177*T1^16*T2^11 + 
      209*T1^4*T2^12 - 155*T1^5*T2^12 - 476*T1^6*T2^12 + 837*T1^7*T2^12 - 
      1771*T1^8*T2^12 + 765*T1^9*T2^12 - 515*T1^10*T2^12 + 765*T1^11*T2^12 - 
      1771*T1^12*T2^12 + 837*T1^13*T2^12 - 476*T1^14*T2^12 - 
      155*T1^15*T2^12 + 209*T1^16*T2^12 - 177*T1^5*T2^13 + 353*T1^6*T2^13 - 
      140*T1^7*T2^13 - 144*T1^8*T2^13 + 837*T1^9*T2^13 - 383*T1^10*T2^13 - 
      383*T1^11*T2^13 + 837*T1^12*T2^13 - 144*T1^13*T2^13 - 140*T1^14*T2^13 + 
      353*T1^15*T2^13 - 177*T1^16*T2^13 + 104*T1^6*T2^14 - 296*T1^7*T2^14 + 
      325*T1^8*T2^14 - 140*T1^9*T2^14 - 476*T1^10*T2^14 + 751*T1^11*T2^14 - 
      476*T1^12*T2^14 - 140*T1^13*T2^14 + 325*T1^14*T2^14 - 296*T1^15*T2^14 + 
      104*T1^16*T2^14 - 43*T1^7*T2^15 + 164*T1^8*T2^15 - 296*T1^9*T2^15 + 
      353*T1^10*T2^15 - 155*T1^11*T2^15 - 155*T1^12*T2^15 + 353*T1^13*T2^15 - 
      296*T1^14*T2^15 + 164*T1^15*T2^15 - 43*T1^16*T2^15 + 9*T1^8*T2^16 - 
      43*T1^9*T2^16 + 104*T1^10*T2^16 - 177*T1^11*T2^16 + 209*T1^12*T2^16 - 
      177*T1^13*T2^16 + 104*T1^14*T2^16 - 43*T1^15*T2^16 + 9*T1^16*T2^16)/
     (T1^8*T2^8))}, 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, -((17 - 83*T1 + 212*T1^2 - 337*T1^3 + 391*T1^4 - 337*T1^5 + 
      212*T1^6 - 83*T1^7 + 17*T1^8 - 83*T2 + 324*T1*T2 - 636*T1^2*T2 + 
      621*T1^3*T2 - 269*T1^4*T2 - 269*T1^5*T2 + 621*T1^6*T2 - 636*T1^7*T2 + 
      324*T1^8*T2 - 83*T1^9*T2 + 212*T2^2 - 636*T1*T2^2 + 881*T1^2*T2^2 - 
      136*T1^3*T2^2 - 684*T1^4*T2^2 + 1147*T1^5*T2^2 - 684*T1^6*T2^2 - 
      136*T1^7*T2^2 + 881*T1^8*T2^2 - 636*T1^9*T2^2 + 212*T1^10*T2^2 - 
      337*T2^3 + 621*T1*T2^3 - 136*T1^2*T2^3 - 1756*T1^3*T2^3 + 
      1967*T1^4*T2^3 - 1035*T1^5*T2^3 - 1035*T1^6*T2^3 + 1967*T1^7*T2^3 - 
      1756*T1^8*T2^3 - 136*T1^9*T2^3 + 621*T1^10*T2^3 - 337*T1^11*T2^3 + 
      391*T2^4 - 269*T1*T2^4 - 684*T1^2*T2^4 + 1967*T1^3*T2^4 + 
      1237*T1^4*T2^4 - 4153*T1^5*T2^4 + 6205*T1^6*T2^4 - 4153*T1^7*T2^4 + 
      1237*T1^8*T2^4 + 1967*T1^9*T2^4 - 684*T1^10*T2^4 - 269*T1^11*T2^4 + 
      391*T1^12*T2^4 - 337*T2^5 - 269*T1*T2^5 + 1147*T1^2*T2^5 - 
      1035*T1^3*T2^5 - 4153*T1^4*T2^5 + 4432*T1^5*T2^5 - 2714*T1^6*T2^5 - 
      2714*T1^7*T2^5 + 4432*T1^8*T2^5 - 4153*T1^9*T2^5 - 1035*T1^10*T2^5 + 
      1147*T1^11*T2^5 - 269*T1^12*T2^5 - 337*T1^13*T2^5 + 212*T2^6 + 
      621*T1*T2^6 - 684*T1^2*T2^6 - 1035*T1^3*T2^6 + 6205*T1^4*T2^6 - 
      2714*T1^5*T2^6 + 191*T1^6*T2^6 + 3205*T1^7*T2^6 + 191*T1^8*T2^6 - 
      2714*T1^9*T2^6 + 6205*T1^10*T2^6 - 1035*T1^11*T2^6 - 684*T1^12*T2^6 + 
      621*T1^13*T2^6 + 212*T1^14*T2^6 - 83*T2^7 - 636*T1*T2^7 - 
      136*T1^2*T2^7 + 1967*T1^3*T2^7 - 4153*T1^4*T2^7 - 2714*T1^5*T2^7 + 
      3205*T1^6*T2^7 - 2998*T1^7*T2^7 - 2998*T1^8*T2^7 + 3205*T1^9*T2^7 - 
      2714*T1^10*T2^7 - 4153*T1^11*T2^7 + 1967*T1^12*T2^7 - 136*T1^13*T2^7 - 
      636*T1^14*T2^7 - 83*T1^15*T2^7 + 17*T2^8 + 324*T1*T2^8 + 
      881*T1^2*T2^8 - 1756*T1^3*T2^8 + 1237*T1^4*T2^8 + 4432*T1^5*T2^8 + 
      191*T1^6*T2^8 - 2998*T1^7*T2^8 + 7308*T1^8*T2^8 - 2998*T1^9*T2^8 + 
      191*T1^10*T2^8 + 4432*T1^11*T2^8 + 1237*T1^12*T2^8 - 1756*T1^13*T2^8 + 
      881*T1^14*T2^8 + 324*T1^15*T2^8 + 17*T1^16*T2^8 - 83*T1*T2^9 - 
      636*T1^2*T2^9 - 136*T1^3*T2^9 + 1967*T1^4*T2^9 - 4153*T1^5*T2^9 - 
      2714*T1^6*T2^9 + 3205*T1^7*T2^9 - 2998*T1^8*T2^9 - 2998*T1^9*T2^9 + 
      3205*T1^10*T2^9 - 2714*T1^11*T2^9 - 4153*T1^12*T2^9 + 1967*T1^13*T2^9 - 
      136*T1^14*T2^9 - 636*T1^15*T2^9 - 83*T1^16*T2^9 + 212*T1^2*T2^10 + 
      621*T1^3*T2^10 - 684*T1^4*T2^10 - 1035*T1^5*T2^10 + 6205*T1^6*T2^10 - 
      2714*T1^7*T2^10 + 191*T1^8*T2^10 + 3205*T1^9*T2^10 + 191*T1^10*T2^10 - 
      2714*T1^11*T2^10 + 6205*T1^12*T2^10 - 1035*T1^13*T2^10 - 
      684*T1^14*T2^10 + 621*T1^15*T2^10 + 212*T1^16*T2^10 - 337*T1^3*T2^11 - 
      269*T1^4*T2^11 + 1147*T1^5*T2^11 - 1035*T1^6*T2^11 - 4153*T1^7*T2^11 + 
      4432*T1^8*T2^11 - 2714*T1^9*T2^11 - 2714*T1^10*T2^11 + 
      4432*T1^11*T2^11 - 4153*T1^12*T2^11 - 1035*T1^13*T2^11 + 
      1147*T1^14*T2^11 - 269*T1^15*T2^11 - 337*T1^16*T2^11 + 391*T1^4*T2^12 - 
      269*T1^5*T2^12 - 684*T1^6*T2^12 + 1967*T1^7*T2^12 + 1237*T1^8*T2^12 - 
      4153*T1^9*T2^12 + 6205*T1^10*T2^12 - 4153*T1^11*T2^12 + 
      1237*T1^12*T2^12 + 1967*T1^13*T2^12 - 684*T1^14*T2^12 - 
      269*T1^15*T2^12 + 391*T1^16*T2^12 - 337*T1^5*T2^13 + 621*T1^6*T2^13 - 
      136*T1^7*T2^13 - 1756*T1^8*T2^13 + 1967*T1^9*T2^13 - 1035*T1^10*T2^13 - 
      1035*T1^11*T2^13 + 1967*T1^12*T2^13 - 1756*T1^13*T2^13 - 
      136*T1^14*T2^13 + 621*T1^15*T2^13 - 337*T1^16*T2^13 + 212*T1^6*T2^14 - 
      636*T1^7*T2^14 + 881*T1^8*T2^14 - 136*T1^9*T2^14 - 684*T1^10*T2^14 + 
      1147*T1^11*T2^14 - 684*T1^12*T2^14 - 136*T1^13*T2^14 + 
      881*T1^14*T2^14 - 636*T1^15*T2^14 + 212*T1^16*T2^14 - 83*T1^7*T2^15 + 
      324*T1^8*T2^15 - 636*T1^9*T2^15 + 621*T1^10*T2^15 - 269*T1^11*T2^15 - 
      269*T1^12*T2^15 + 621*T1^13*T2^15 - 636*T1^14*T2^15 + 324*T1^15*T2^15 - 
      83*T1^16*T2^15 + 17*T1^8*T2^16 - 83*T1^9*T2^16 + 212*T1^10*T2^16 - 
      337*T1^11*T2^16 + 391*T1^12*T2^16 - 337*T1^13*T2^16 + 212*T1^14*T2^16 - 
      83*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 600] -> 
  {-((4 - 15*T + 23*T^2 - 25*T^3 + 23*T^4 - 15*T^5 + 4*T^6)/T^3), 
   -((144 - 536*T1 + 812*T1^2 - 880*T1^3 + 812*T1^4 - 536*T1^5 + 144*T1^6 - 
      536*T2 + 1464*T1*T2 - 1036*T1^2*T2 + 256*T1^3*T2 + 256*T1^4*T2 - 
      1036*T1^5*T2 + 1464*T1^6*T2 - 536*T1^7*T2 + 812*T2^2 - 1036*T1*T2^2 - 
      2097*T1^2*T2^2 + 3541*T1^3*T2^2 - 3411*T1^4*T2^2 + 3541*T1^5*T2^2 - 
      2097*T1^6*T2^2 - 1036*T1^7*T2^2 + 812*T1^8*T2^2 - 880*T2^3 + 
      256*T1*T2^3 + 3541*T1^2*T2^3 - 2038*T1^3*T2^3 + 118*T1^4*T2^3 + 
      118*T1^5*T2^3 - 2038*T1^6*T2^3 + 3541*T1^7*T2^3 + 256*T1^8*T2^3 - 
      880*T1^9*T2^3 + 812*T2^4 + 256*T1*T2^4 - 3411*T1^2*T2^4 + 
      118*T1^3*T2^4 + 370*T1^4*T2^4 + 664*T1^5*T2^4 + 370*T1^6*T2^4 + 
      118*T1^7*T2^4 - 3411*T1^8*T2^4 + 256*T1^9*T2^4 + 812*T1^10*T2^4 - 
      536*T2^5 - 1036*T1*T2^5 + 3541*T1^2*T2^5 + 118*T1^3*T2^5 + 
      664*T1^4*T2^5 - 844*T1^5*T2^5 - 844*T1^6*T2^5 + 664*T1^7*T2^5 + 
      118*T1^8*T2^5 + 3541*T1^9*T2^5 - 1036*T1^10*T2^5 - 536*T1^11*T2^5 + 
      144*T2^6 + 1464*T1*T2^6 - 2097*T1^2*T2^6 - 2038*T1^3*T2^6 + 
      370*T1^4*T2^6 - 844*T1^5*T2^6 + 1908*T1^6*T2^6 - 844*T1^7*T2^6 + 
      370*T1^8*T2^6 - 2038*T1^9*T2^6 - 2097*T1^10*T2^6 + 1464*T1^11*T2^6 + 
      144*T1^12*T2^6 - 536*T1*T2^7 - 1036*T1^2*T2^7 + 3541*T1^3*T2^7 + 
      118*T1^4*T2^7 + 664*T1^5*T2^7 - 844*T1^6*T2^7 - 844*T1^7*T2^7 + 
      664*T1^8*T2^7 + 118*T1^9*T2^7 + 3541*T1^10*T2^7 - 1036*T1^11*T2^7 - 
      536*T1^12*T2^7 + 812*T1^2*T2^8 + 256*T1^3*T2^8 - 3411*T1^4*T2^8 + 
      118*T1^5*T2^8 + 370*T1^6*T2^8 + 664*T1^7*T2^8 + 370*T1^8*T2^8 + 
      118*T1^9*T2^8 - 3411*T1^10*T2^8 + 256*T1^11*T2^8 + 812*T1^12*T2^8 - 
      880*T1^3*T2^9 + 256*T1^4*T2^9 + 3541*T1^5*T2^9 - 2038*T1^6*T2^9 + 
      118*T1^7*T2^9 + 118*T1^8*T2^9 - 2038*T1^9*T2^9 + 3541*T1^10*T2^9 + 
      256*T1^11*T2^9 - 880*T1^12*T2^9 + 812*T1^4*T2^10 - 1036*T1^5*T2^10 - 
      2097*T1^6*T2^10 + 3541*T1^7*T2^10 - 3411*T1^8*T2^10 + 3541*T1^9*T2^10 - 
      2097*T1^10*T2^10 - 1036*T1^11*T2^10 + 812*T1^12*T2^10 - 
      536*T1^5*T2^11 + 1464*T1^6*T2^11 - 1036*T1^7*T2^11 + 256*T1^8*T2^11 + 
      256*T1^9*T2^11 - 1036*T1^10*T2^11 + 1464*T1^11*T2^11 - 
      536*T1^12*T2^11 + 144*T1^6*T2^12 - 536*T1^7*T2^12 + 812*T1^8*T2^12 - 
      880*T1^9*T2^12 + 812*T1^10*T2^12 - 536*T1^11*T2^12 + 144*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, Alternating, 601] -> 
  {-((8 - 32*T + 47*T^2 - 32*T^3 + 8*T^4)/T^2), 
   (-2*(352 - 1392*T1 + 2024*T1^2 - 1392*T1^3 + 352*T1^4 - 1392*T2 + 
      4124*T1*T2 - 2512*T1^2*T2 - 2512*T1^3*T2 + 4124*T1^4*T2 - 
      1392*T1^5*T2 + 2024*T2^2 - 2512*T1*T2^2 - 8147*T1^2*T2^2 + 
      15789*T1^3*T2^2 - 8147*T1^4*T2^2 - 2512*T1^5*T2^2 + 2024*T1^6*T2^2 - 
      1392*T2^3 - 2512*T1*T2^3 + 15789*T1^2*T2^3 - 10454*T1^3*T2^3 - 
      10454*T1^4*T2^3 + 15789*T1^5*T2^3 - 2512*T1^6*T2^3 - 1392*T1^7*T2^3 + 
      352*T2^4 + 4124*T1*T2^4 - 8147*T1^2*T2^4 - 10454*T1^3*T2^4 + 
      24720*T1^4*T2^4 - 10454*T1^5*T2^4 - 8147*T1^6*T2^4 + 4124*T1^7*T2^4 + 
      352*T1^8*T2^4 - 1392*T1*T2^5 - 2512*T1^2*T2^5 + 15789*T1^3*T2^5 - 
      10454*T1^4*T2^5 - 10454*T1^5*T2^5 + 15789*T1^6*T2^5 - 2512*T1^7*T2^5 - 
      1392*T1^8*T2^5 + 2024*T1^2*T2^6 - 2512*T1^3*T2^6 - 8147*T1^4*T2^6 + 
      15789*T1^5*T2^6 - 8147*T1^6*T2^6 - 2512*T1^7*T2^6 + 2024*T1^8*T2^6 - 
      1392*T1^3*T2^7 + 4124*T1^4*T2^7 - 2512*T1^5*T2^7 - 2512*T1^6*T2^7 + 
      4124*T1^7*T2^7 - 1392*T1^8*T2^7 + 352*T1^4*T2^8 - 1392*T1^5*T2^8 + 
      2024*T1^6*T2^8 - 1392*T1^7*T2^8 + 352*T1^8*T2^8))/(T1^4*T2^4)}, 
 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, (1 - 4*T1 + 7*T1^2 - 10*T1^3 + 13*T1^4 - 10*T1^5 + 7*T1^6 - 4*T1^7 + 
     T1^8 - 4*T2 + 12*T1*T2 - 11*T1^2*T2 + 10*T1^3*T2 - 11*T1^4*T2 - 
     11*T1^5*T2 + 10*T1^6*T2 - 11*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 7*T2^2 - 
     11*T1*T2^2 - 9*T1^2*T2^2 - 15*T1^3*T2^2 + 74*T1^4*T2^2 - 55*T1^5*T2^2 + 
     74*T1^6*T2^2 - 15*T1^7*T2^2 - 9*T1^8*T2^2 - 11*T1^9*T2^2 + 
     7*T1^10*T2^2 - 10*T2^3 + 10*T1*T2^3 - 15*T1^2*T2^3 + 192*T1^3*T2^3 - 
     346*T1^4*T2^3 + 99*T1^5*T2^3 + 99*T1^6*T2^3 - 346*T1^7*T2^3 + 
     192*T1^8*T2^3 - 15*T1^9*T2^3 + 10*T1^10*T2^3 - 10*T1^11*T2^3 + 13*T2^4 - 
     11*T1*T2^4 + 74*T1^2*T2^4 - 346*T1^3*T2^4 + 136*T1^4*T2^4 + 
     966*T1^5*T2^4 - 1214*T1^6*T2^4 + 966*T1^7*T2^4 + 136*T1^8*T2^4 - 
     346*T1^9*T2^4 + 74*T1^10*T2^4 - 11*T1^11*T2^4 + 13*T1^12*T2^4 - 
     10*T2^5 - 11*T1*T2^5 - 55*T1^2*T2^5 + 99*T1^3*T2^5 + 966*T1^4*T2^5 - 
     2428*T1^5*T2^5 + 866*T1^6*T2^5 + 866*T1^7*T2^5 - 2428*T1^8*T2^5 + 
     966*T1^9*T2^5 + 99*T1^10*T2^5 - 55*T1^11*T2^5 - 11*T1^12*T2^5 - 
     10*T1^13*T2^5 + 7*T2^6 + 10*T1*T2^6 + 74*T1^2*T2^6 + 99*T1^3*T2^6 - 
     1214*T1^4*T2^6 + 866*T1^5*T2^6 + 3461*T1^6*T2^6 - 4383*T1^7*T2^6 + 
     3461*T1^8*T2^6 + 866*T1^9*T2^6 - 1214*T1^10*T2^6 + 99*T1^11*T2^6 + 
     74*T1^12*T2^6 + 10*T1^13*T2^6 + 7*T1^14*T2^6 - 4*T2^7 - 11*T1*T2^7 - 
     15*T1^2*T2^7 - 346*T1^3*T2^7 + 966*T1^4*T2^7 + 866*T1^5*T2^7 - 
     4383*T1^6*T2^7 + 1284*T1^7*T2^7 + 1284*T1^8*T2^7 - 4383*T1^9*T2^7 + 
     866*T1^10*T2^7 + 966*T1^11*T2^7 - 346*T1^12*T2^7 - 15*T1^13*T2^7 - 
     11*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 - 9*T1^2*T2^8 + 
     192*T1^3*T2^8 + 136*T1^4*T2^8 - 2428*T1^5*T2^8 + 3461*T1^6*T2^8 + 
     1284*T1^7*T2^8 - 1560*T1^8*T2^8 + 1284*T1^9*T2^8 + 3461*T1^10*T2^8 - 
     2428*T1^11*T2^8 + 136*T1^12*T2^8 + 192*T1^13*T2^8 - 9*T1^14*T2^8 + 
     12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 11*T1^2*T2^9 - 15*T1^3*T2^9 - 
     346*T1^4*T2^9 + 966*T1^5*T2^9 + 866*T1^6*T2^9 - 4383*T1^7*T2^9 + 
     1284*T1^8*T2^9 + 1284*T1^9*T2^9 - 4383*T1^10*T2^9 + 866*T1^11*T2^9 + 
     966*T1^12*T2^9 - 346*T1^13*T2^9 - 15*T1^14*T2^9 - 11*T1^15*T2^9 - 
     4*T1^16*T2^9 + 7*T1^2*T2^10 + 10*T1^3*T2^10 + 74*T1^4*T2^10 + 
     99*T1^5*T2^10 - 1214*T1^6*T2^10 + 866*T1^7*T2^10 + 3461*T1^8*T2^10 - 
     4383*T1^9*T2^10 + 3461*T1^10*T2^10 + 866*T1^11*T2^10 - 
     1214*T1^12*T2^10 + 99*T1^13*T2^10 + 74*T1^14*T2^10 + 10*T1^15*T2^10 + 
     7*T1^16*T2^10 - 10*T1^3*T2^11 - 11*T1^4*T2^11 - 55*T1^5*T2^11 + 
     99*T1^6*T2^11 + 966*T1^7*T2^11 - 2428*T1^8*T2^11 + 866*T1^9*T2^11 + 
     866*T1^10*T2^11 - 2428*T1^11*T2^11 + 966*T1^12*T2^11 + 99*T1^13*T2^11 - 
     55*T1^14*T2^11 - 11*T1^15*T2^11 - 10*T1^16*T2^11 + 13*T1^4*T2^12 - 
     11*T1^5*T2^12 + 74*T1^6*T2^12 - 346*T1^7*T2^12 + 136*T1^8*T2^12 + 
     966*T1^9*T2^12 - 1214*T1^10*T2^12 + 966*T1^11*T2^12 + 136*T1^12*T2^12 - 
     346*T1^13*T2^12 + 74*T1^14*T2^12 - 11*T1^15*T2^12 + 13*T1^16*T2^12 - 
     10*T1^5*T2^13 + 10*T1^6*T2^13 - 15*T1^7*T2^13 + 192*T1^8*T2^13 - 
     346*T1^9*T2^13 + 99*T1^10*T2^13 + 99*T1^11*T2^13 - 346*T1^12*T2^13 + 
     192*T1^13*T2^13 - 15*T1^14*T2^13 + 10*T1^15*T2^13 - 10*T1^16*T2^13 + 
     7*T1^6*T2^14 - 11*T1^7*T2^14 - 9*T1^8*T2^14 - 15*T1^9*T2^14 + 
     74*T1^10*T2^14 - 55*T1^11*T2^14 + 74*T1^12*T2^14 - 15*T1^13*T2^14 - 
     9*T1^14*T2^14 - 11*T1^15*T2^14 + 7*T1^16*T2^14 - 4*T1^7*T2^15 + 
     12*T1^8*T2^15 - 11*T1^9*T2^15 + 10*T1^10*T2^15 - 11*T1^11*T2^15 - 
     11*T1^12*T2^15 + 10*T1^13*T2^15 - 11*T1^14*T2^15 + 12*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 + 13*T1^12*T2^16 - 10*T1^13*T2^16 + 7*T1^14*T2^16 - 
     4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 603] -> 
  {(4 - 22*T + 50*T^2 - 63*T^3 + 50*T^4 - 22*T^5 + 4*T^6)/T^3, 
   (64 - 340*T1 + 740*T1^2 - 912*T1^3 + 740*T1^4 - 340*T1^5 + 64*T1^6 - 
     340*T2 + 1482*T1*T2 - 2178*T1^2*T2 + 954*T1^3*T2 + 954*T1^4*T2 - 
     2178*T1^5*T2 + 1482*T1^6*T2 - 340*T1^7*T2 + 740*T2^2 - 2178*T1*T2^2 - 
     239*T1^2*T2^2 + 6730*T1^3*T2^2 - 9343*T1^4*T2^2 + 6730*T1^5*T2^2 - 
     239*T1^6*T2^2 - 2178*T1^7*T2^2 + 740*T1^8*T2^2 - 912*T2^3 + 
     954*T1*T2^3 + 6730*T1^2*T2^3 - 13876*T1^3*T2^3 + 6034*T1^4*T2^3 + 
     6034*T1^5*T2^3 - 13876*T1^6*T2^3 + 6730*T1^7*T2^3 + 954*T1^8*T2^3 - 
     912*T1^9*T2^3 + 740*T2^4 + 954*T1*T2^4 - 9343*T1^2*T2^4 + 
     6034*T1^3*T2^4 + 15439*T1^4*T2^4 - 23539*T1^5*T2^4 + 15439*T1^6*T2^4 + 
     6034*T1^7*T2^4 - 9343*T1^8*T2^4 + 954*T1^9*T2^4 + 740*T1^10*T2^4 - 
     340*T2^5 - 2178*T1*T2^5 + 6730*T1^2*T2^5 + 6034*T1^3*T2^5 - 
     23539*T1^4*T2^5 + 10360*T1^5*T2^5 + 10360*T1^6*T2^5 - 23539*T1^7*T2^5 + 
     6034*T1^8*T2^5 + 6730*T1^9*T2^5 - 2178*T1^10*T2^5 - 340*T1^11*T2^5 + 
     64*T2^6 + 1482*T1*T2^6 - 239*T1^2*T2^6 - 13876*T1^3*T2^6 + 
     15439*T1^4*T2^6 + 10360*T1^5*T2^6 - 19896*T1^6*T2^6 + 10360*T1^7*T2^6 + 
     15439*T1^8*T2^6 - 13876*T1^9*T2^6 - 239*T1^10*T2^6 + 1482*T1^11*T2^6 + 
     64*T1^12*T2^6 - 340*T1*T2^7 - 2178*T1^2*T2^7 + 6730*T1^3*T2^7 + 
     6034*T1^4*T2^7 - 23539*T1^5*T2^7 + 10360*T1^6*T2^7 + 10360*T1^7*T2^7 - 
     23539*T1^8*T2^7 + 6034*T1^9*T2^7 + 6730*T1^10*T2^7 - 2178*T1^11*T2^7 - 
     340*T1^12*T2^7 + 740*T1^2*T2^8 + 954*T1^3*T2^8 - 9343*T1^4*T2^8 + 
     6034*T1^5*T2^8 + 15439*T1^6*T2^8 - 23539*T1^7*T2^8 + 15439*T1^8*T2^8 + 
     6034*T1^9*T2^8 - 9343*T1^10*T2^8 + 954*T1^11*T2^8 + 740*T1^12*T2^8 - 
     912*T1^3*T2^9 + 954*T1^4*T2^9 + 6730*T1^5*T2^9 - 13876*T1^6*T2^9 + 
     6034*T1^7*T2^9 + 6034*T1^8*T2^9 - 13876*T1^9*T2^9 + 6730*T1^10*T2^9 + 
     954*T1^11*T2^9 - 912*T1^12*T2^9 + 740*T1^4*T2^10 - 2178*T1^5*T2^10 - 
     239*T1^6*T2^10 + 6730*T1^7*T2^10 - 9343*T1^8*T2^10 + 6730*T1^9*T2^10 - 
     239*T1^10*T2^10 - 2178*T1^11*T2^10 + 740*T1^12*T2^10 - 340*T1^5*T2^11 + 
     1482*T1^6*T2^11 - 2178*T1^7*T2^11 + 954*T1^8*T2^11 + 954*T1^9*T2^11 - 
     2178*T1^10*T2^11 + 1482*T1^11*T2^11 - 340*T1^12*T2^11 + 64*T1^6*T2^12 - 
     340*T1^7*T2^12 + 740*T1^8*T2^12 - 912*T1^9*T2^12 + 740*T1^10*T2^12 - 
     340*T1^11*T2^12 + 64*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 604] -> 
  {(3 - 20*T + 53*T^2 - 71*T^3 + 53*T^4 - 20*T^5 + 3*T^6)/T^3, 
   (30 - 199*T1 + 526*T1^2 - 702*T1^3 + 526*T1^4 - 199*T1^5 + 30*T1^6 - 
     199*T2 + 1120*T1*T2 - 2167*T1^2*T2 + 1168*T1^3*T2 + 1168*T1^4*T2 - 
     2167*T1^5*T2 + 1120*T1^6*T2 - 199*T1^7*T2 + 526*T2^2 - 2167*T1*T2^2 + 
     1051*T1^2*T2^2 + 7100*T1^3*T2^2 - 12131*T1^4*T2^2 + 7100*T1^5*T2^2 + 
     1051*T1^6*T2^2 - 2167*T1^7*T2^2 + 526*T1^8*T2^2 - 702*T2^3 + 
     1168*T1*T2^3 + 7100*T1^2*T2^3 - 21584*T1^3*T2^3 + 12534*T1^4*T2^3 + 
     12534*T1^5*T2^3 - 21584*T1^6*T2^3 + 7100*T1^7*T2^3 + 1168*T1^8*T2^3 - 
     702*T1^9*T2^3 + 526*T2^4 + 1168*T1*T2^4 - 12131*T1^2*T2^4 + 
     12534*T1^3*T2^4 + 29784*T1^4*T2^4 - 57208*T1^5*T2^4 + 29784*T1^6*T2^4 + 
     12534*T1^7*T2^4 - 12131*T1^8*T2^4 + 1168*T1^9*T2^4 + 526*T1^10*T2^4 - 
     199*T2^5 - 2167*T1*T2^5 + 7100*T1^2*T2^5 + 12534*T1^3*T2^5 - 
     57208*T1^4*T2^5 + 34812*T1^5*T2^5 + 34812*T1^6*T2^5 - 57208*T1^7*T2^5 + 
     12534*T1^8*T2^5 + 7100*T1^9*T2^5 - 2167*T1^10*T2^5 - 199*T1^11*T2^5 + 
     30*T2^6 + 1120*T1*T2^6 + 1051*T1^2*T2^6 - 21584*T1^3*T2^6 + 
     29784*T1^4*T2^6 + 34812*T1^5*T2^6 - 78576*T1^6*T2^6 + 34812*T1^7*T2^6 + 
     29784*T1^8*T2^6 - 21584*T1^9*T2^6 + 1051*T1^10*T2^6 + 1120*T1^11*T2^6 + 
     30*T1^12*T2^6 - 199*T1*T2^7 - 2167*T1^2*T2^7 + 7100*T1^3*T2^7 + 
     12534*T1^4*T2^7 - 57208*T1^5*T2^7 + 34812*T1^6*T2^7 + 34812*T1^7*T2^7 - 
     57208*T1^8*T2^7 + 12534*T1^9*T2^7 + 7100*T1^10*T2^7 - 2167*T1^11*T2^7 - 
     199*T1^12*T2^7 + 526*T1^2*T2^8 + 1168*T1^3*T2^8 - 12131*T1^4*T2^8 + 
     12534*T1^5*T2^8 + 29784*T1^6*T2^8 - 57208*T1^7*T2^8 + 29784*T1^8*T2^8 + 
     12534*T1^9*T2^8 - 12131*T1^10*T2^8 + 1168*T1^11*T2^8 + 526*T1^12*T2^8 - 
     702*T1^3*T2^9 + 1168*T1^4*T2^9 + 7100*T1^5*T2^9 - 21584*T1^6*T2^9 + 
     12534*T1^7*T2^9 + 12534*T1^8*T2^9 - 21584*T1^9*T2^9 + 7100*T1^10*T2^9 + 
     1168*T1^11*T2^9 - 702*T1^12*T2^9 + 526*T1^4*T2^10 - 2167*T1^5*T2^10 + 
     1051*T1^6*T2^10 + 7100*T1^7*T2^10 - 12131*T1^8*T2^10 + 7100*T1^9*T2^10 + 
     1051*T1^10*T2^10 - 2167*T1^11*T2^10 + 526*T1^12*T2^10 - 199*T1^5*T2^11 + 
     1120*T1^6*T2^11 - 2167*T1^7*T2^11 + 1168*T1^8*T2^11 + 1168*T1^9*T2^11 - 
     2167*T1^10*T2^11 + 1120*T1^11*T2^11 - 199*T1^12*T2^11 + 30*T1^6*T2^12 - 
     199*T1^7*T2^12 + 526*T1^8*T2^12 - 702*T1^9*T2^12 + 526*T1^10*T2^12 - 
     199*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 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), (7 - 32*T1 + 71*T1^2 - 106*T1^3 + 117*T1^4 - 106*T1^5 + 71*T1^6 - 
     32*T1^7 + 7*T1^8 - 32*T2 + 114*T1*T2 - 178*T1^2*T2 + 160*T1^3*T2 - 
     50*T1^4*T2 - 50*T1^5*T2 + 160*T1^6*T2 - 178*T1^7*T2 + 114*T1^8*T2 - 
     32*T1^9*T2 + 71*T2^2 - 178*T1*T2^2 + 113*T1^2*T2^2 + 131*T1^3*T2^2 - 
     405*T1^4*T2^2 + 417*T1^5*T2^2 - 405*T1^6*T2^2 + 131*T1^7*T2^2 + 
     113*T1^8*T2^2 - 178*T1^9*T2^2 + 71*T1^10*T2^2 - 106*T2^3 + 160*T1*T2^3 + 
     131*T1^2*T2^3 - 484*T1^3*T2^3 + 559*T1^4*T2^3 - 104*T1^5*T2^3 - 
     104*T1^6*T2^3 + 559*T1^7*T2^3 - 484*T1^8*T2^3 + 131*T1^9*T2^3 + 
     160*T1^10*T2^3 - 106*T1^11*T2^3 + 117*T2^4 - 50*T1*T2^4 - 
     405*T1^2*T2^4 + 559*T1^3*T2^4 - 148*T1^4*T2^4 - 622*T1^5*T2^4 + 
     530*T1^6*T2^4 - 622*T1^7*T2^4 - 148*T1^8*T2^4 + 559*T1^9*T2^4 - 
     405*T1^10*T2^4 - 50*T1^11*T2^4 + 117*T1^12*T2^4 - 106*T2^5 - 
     50*T1*T2^5 + 417*T1^2*T2^5 - 104*T1^3*T2^5 - 622*T1^4*T2^5 + 
     1008*T1^5*T2^5 - 159*T1^6*T2^5 - 159*T1^7*T2^5 + 1008*T1^8*T2^5 - 
     622*T1^9*T2^5 - 104*T1^10*T2^5 + 417*T1^11*T2^5 - 50*T1^12*T2^5 - 
     106*T1^13*T2^5 + 71*T2^6 + 160*T1*T2^6 - 405*T1^2*T2^6 - 104*T1^3*T2^6 + 
     530*T1^4*T2^6 - 159*T1^5*T2^6 - 929*T1^6*T2^6 + 855*T1^7*T2^6 - 
     929*T1^8*T2^6 - 159*T1^9*T2^6 + 530*T1^10*T2^6 - 104*T1^11*T2^6 - 
     405*T1^12*T2^6 + 160*T1^13*T2^6 + 71*T1^14*T2^6 - 32*T2^7 - 
     178*T1*T2^7 + 131*T1^2*T2^7 + 559*T1^3*T2^7 - 622*T1^4*T2^7 - 
     159*T1^5*T2^7 + 855*T1^6*T2^7 - 178*T1^7*T2^7 - 178*T1^8*T2^7 + 
     855*T1^9*T2^7 - 159*T1^10*T2^7 - 622*T1^11*T2^7 + 559*T1^12*T2^7 + 
     131*T1^13*T2^7 - 178*T1^14*T2^7 - 32*T1^15*T2^7 + 7*T2^8 + 114*T1*T2^8 + 
     113*T1^2*T2^8 - 484*T1^3*T2^8 - 148*T1^4*T2^8 + 1008*T1^5*T2^8 - 
     929*T1^6*T2^8 - 178*T1^7*T2^8 + 288*T1^8*T2^8 - 178*T1^9*T2^8 - 
     929*T1^10*T2^8 + 1008*T1^11*T2^8 - 148*T1^12*T2^8 - 484*T1^13*T2^8 + 
     113*T1^14*T2^8 + 114*T1^15*T2^8 + 7*T1^16*T2^8 - 32*T1*T2^9 - 
     178*T1^2*T2^9 + 131*T1^3*T2^9 + 559*T1^4*T2^9 - 622*T1^5*T2^9 - 
     159*T1^6*T2^9 + 855*T1^7*T2^9 - 178*T1^8*T2^9 - 178*T1^9*T2^9 + 
     855*T1^10*T2^9 - 159*T1^11*T2^9 - 622*T1^12*T2^9 + 559*T1^13*T2^9 + 
     131*T1^14*T2^9 - 178*T1^15*T2^9 - 32*T1^16*T2^9 + 71*T1^2*T2^10 + 
     160*T1^3*T2^10 - 405*T1^4*T2^10 - 104*T1^5*T2^10 + 530*T1^6*T2^10 - 
     159*T1^7*T2^10 - 929*T1^8*T2^10 + 855*T1^9*T2^10 - 929*T1^10*T2^10 - 
     159*T1^11*T2^10 + 530*T1^12*T2^10 - 104*T1^13*T2^10 - 405*T1^14*T2^10 + 
     160*T1^15*T2^10 + 71*T1^16*T2^10 - 106*T1^3*T2^11 - 50*T1^4*T2^11 + 
     417*T1^5*T2^11 - 104*T1^6*T2^11 - 622*T1^7*T2^11 + 1008*T1^8*T2^11 - 
     159*T1^9*T2^11 - 159*T1^10*T2^11 + 1008*T1^11*T2^11 - 622*T1^12*T2^11 - 
     104*T1^13*T2^11 + 417*T1^14*T2^11 - 50*T1^15*T2^11 - 106*T1^16*T2^11 + 
     117*T1^4*T2^12 - 50*T1^5*T2^12 - 405*T1^6*T2^12 + 559*T1^7*T2^12 - 
     148*T1^8*T2^12 - 622*T1^9*T2^12 + 530*T1^10*T2^12 - 622*T1^11*T2^12 - 
     148*T1^12*T2^12 + 559*T1^13*T2^12 - 405*T1^14*T2^12 - 50*T1^15*T2^12 + 
     117*T1^16*T2^12 - 106*T1^5*T2^13 + 160*T1^6*T2^13 + 131*T1^7*T2^13 - 
     484*T1^8*T2^13 + 559*T1^9*T2^13 - 104*T1^10*T2^13 - 104*T1^11*T2^13 + 
     559*T1^12*T2^13 - 484*T1^13*T2^13 + 131*T1^14*T2^13 + 160*T1^15*T2^13 - 
     106*T1^16*T2^13 + 71*T1^6*T2^14 - 178*T1^7*T2^14 + 113*T1^8*T2^14 + 
     131*T1^9*T2^14 - 405*T1^10*T2^14 + 417*T1^11*T2^14 - 405*T1^12*T2^14 + 
     131*T1^13*T2^14 + 113*T1^14*T2^14 - 178*T1^15*T2^14 + 71*T1^16*T2^14 - 
     32*T1^7*T2^15 + 114*T1^8*T2^15 - 178*T1^9*T2^15 + 160*T1^10*T2^15 - 
     50*T1^11*T2^15 - 50*T1^12*T2^15 + 160*T1^13*T2^15 - 178*T1^14*T2^15 + 
     114*T1^15*T2^15 - 32*T1^16*T2^15 + 7*T1^8*T2^16 - 32*T1^9*T2^16 + 
     71*T1^10*T2^16 - 106*T1^11*T2^16 + 117*T1^12*T2^16 - 106*T1^13*T2^16 + 
     71*T1^14*T2^16 - 32*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 606] -> 
  {-(((-2 + 4*T - 5*T^2 + 2*T^3)*(-2 + 5*T - 4*T^2 + 2*T^3))/T^3), 
   -((4*T1 - 4*T1^2 - 4*T1^4 + 4*T1^5 + 4*T2 - 30*T1*T2 + 18*T1^2*T2 + 
      6*T1^3*T2 + 6*T1^4*T2 + 18*T1^5*T2 - 30*T1^6*T2 + 4*T1^7*T2 - 4*T2^2 + 
      18*T1*T2^2 + 191*T1^2*T2^2 - 448*T1^3*T2^2 + 499*T1^4*T2^2 - 
      448*T1^5*T2^2 + 191*T1^6*T2^2 + 18*T1^7*T2^2 - 4*T1^8*T2^2 + 
      6*T1*T2^3 - 448*T1^2*T2^3 + 698*T1^3*T2^3 - 250*T1^4*T2^3 - 
      250*T1^5*T2^3 + 698*T1^6*T2^3 - 448*T1^7*T2^3 + 6*T1^8*T2^3 - 4*T2^4 + 
      6*T1*T2^4 + 499*T1^2*T2^4 - 250*T1^3*T2^4 - 899*T1^4*T2^4 + 
      1159*T1^5*T2^4 - 899*T1^6*T2^4 - 250*T1^7*T2^4 + 499*T1^8*T2^4 + 
      6*T1^9*T2^4 - 4*T1^10*T2^4 + 4*T2^5 + 18*T1*T2^5 - 448*T1^2*T2^5 - 
      250*T1^3*T2^5 + 1159*T1^4*T2^5 - 318*T1^5*T2^5 - 318*T1^6*T2^5 + 
      1159*T1^7*T2^5 - 250*T1^8*T2^5 - 448*T1^9*T2^5 + 18*T1^10*T2^5 + 
      4*T1^11*T2^5 - 30*T1*T2^6 + 191*T1^2*T2^6 + 698*T1^3*T2^6 - 
      899*T1^4*T2^6 - 318*T1^5*T2^6 + 288*T1^6*T2^6 - 318*T1^7*T2^6 - 
      899*T1^8*T2^6 + 698*T1^9*T2^6 + 191*T1^10*T2^6 - 30*T1^11*T2^6 + 
      4*T1*T2^7 + 18*T1^2*T2^7 - 448*T1^3*T2^7 - 250*T1^4*T2^7 + 
      1159*T1^5*T2^7 - 318*T1^6*T2^7 - 318*T1^7*T2^7 + 1159*T1^8*T2^7 - 
      250*T1^9*T2^7 - 448*T1^10*T2^7 + 18*T1^11*T2^7 + 4*T1^12*T2^7 - 
      4*T1^2*T2^8 + 6*T1^3*T2^8 + 499*T1^4*T2^8 - 250*T1^5*T2^8 - 
      899*T1^6*T2^8 + 1159*T1^7*T2^8 - 899*T1^8*T2^8 - 250*T1^9*T2^8 + 
      499*T1^10*T2^8 + 6*T1^11*T2^8 - 4*T1^12*T2^8 + 6*T1^4*T2^9 - 
      448*T1^5*T2^9 + 698*T1^6*T2^9 - 250*T1^7*T2^9 - 250*T1^8*T2^9 + 
      698*T1^9*T2^9 - 448*T1^10*T2^9 + 6*T1^11*T2^9 - 4*T1^4*T2^10 + 
      18*T1^5*T2^10 + 191*T1^6*T2^10 - 448*T1^7*T2^10 + 499*T1^8*T2^10 - 
      448*T1^9*T2^10 + 191*T1^10*T2^10 + 18*T1^11*T2^10 - 4*T1^12*T2^10 + 
      4*T1^5*T2^11 - 30*T1^6*T2^11 + 18*T1^7*T2^11 + 6*T1^8*T2^11 + 
      6*T1^9*T2^11 + 18*T1^10*T2^11 - 30*T1^11*T2^11 + 4*T1^12*T2^11 + 
      4*T1^7*T2^12 - 4*T1^8*T2^12 - 4*T1^10*T2^12 + 4*T1^11*T2^12)/
     (T1^6*T2^6))}, 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, -((17 - 75*T1 + 182*T1^2 - 280*T1^3 + 321*T1^4 - 280*T1^5 + 
      182*T1^6 - 75*T1^7 + 17*T1^8 - 75*T2 + 256*T1*T2 - 471*T1^2*T2 + 
      431*T1^3*T2 - 180*T1^4*T2 - 180*T1^5*T2 + 431*T1^6*T2 - 471*T1^7*T2 + 
      256*T1^8*T2 - 75*T1^9*T2 + 182*T2^2 - 471*T1*T2^2 + 650*T1^2*T2^2 - 
      184*T1^3*T2^2 - 223*T1^4*T2^2 + 446*T1^5*T2^2 - 223*T1^6*T2^2 - 
      184*T1^7*T2^2 + 650*T1^8*T2^2 - 471*T1^9*T2^2 + 182*T1^10*T2^2 - 
      280*T2^3 + 431*T1*T2^3 - 184*T1^2*T2^3 - 942*T1^3*T2^3 + 
      917*T1^4*T2^3 - 471*T1^5*T2^3 - 471*T1^6*T2^3 + 917*T1^7*T2^3 - 
      942*T1^8*T2^3 - 184*T1^9*T2^3 + 431*T1^10*T2^3 - 280*T1^11*T2^3 + 
      321*T2^4 - 180*T1*T2^4 - 223*T1^2*T2^4 + 917*T1^3*T2^4 + 
      1083*T1^4*T2^4 - 2434*T1^5*T2^4 + 3357*T1^6*T2^4 - 2434*T1^7*T2^4 + 
      1083*T1^8*T2^4 + 917*T1^9*T2^4 - 223*T1^10*T2^4 - 180*T1^11*T2^4 + 
      321*T1^12*T2^4 - 280*T2^5 - 180*T1*T2^5 + 446*T1^2*T2^5 - 
      471*T1^3*T2^5 - 2434*T1^4*T2^5 + 2166*T1^5*T2^5 - 1255*T1^6*T2^5 - 
      1255*T1^7*T2^5 + 2166*T1^8*T2^5 - 2434*T1^9*T2^5 - 471*T1^10*T2^5 + 
      446*T1^11*T2^5 - 180*T1^12*T2^5 - 280*T1^13*T2^5 + 182*T2^6 + 
      431*T1*T2^6 - 223*T1^2*T2^6 - 471*T1^3*T2^6 + 3357*T1^4*T2^6 - 
      1255*T1^5*T2^6 + 165*T1^6*T2^6 + 1347*T1^7*T2^6 + 165*T1^8*T2^6 - 
      1255*T1^9*T2^6 + 3357*T1^10*T2^6 - 471*T1^11*T2^6 - 223*T1^12*T2^6 + 
      431*T1^13*T2^6 + 182*T1^14*T2^6 - 75*T2^7 - 471*T1*T2^7 - 
      184*T1^2*T2^7 + 917*T1^3*T2^7 - 2434*T1^4*T2^7 - 1255*T1^5*T2^7 + 
      1347*T1^6*T2^7 - 1324*T1^7*T2^7 - 1324*T1^8*T2^7 + 1347*T1^9*T2^7 - 
      1255*T1^10*T2^7 - 2434*T1^11*T2^7 + 917*T1^12*T2^7 - 184*T1^13*T2^7 - 
      471*T1^14*T2^7 - 75*T1^15*T2^7 + 17*T2^8 + 256*T1*T2^8 + 
      650*T1^2*T2^8 - 942*T1^3*T2^8 + 1083*T1^4*T2^8 + 2166*T1^5*T2^8 + 
      165*T1^6*T2^8 - 1324*T1^7*T2^8 + 3264*T1^8*T2^8 - 1324*T1^9*T2^8 + 
      165*T1^10*T2^8 + 2166*T1^11*T2^8 + 1083*T1^12*T2^8 - 942*T1^13*T2^8 + 
      650*T1^14*T2^8 + 256*T1^15*T2^8 + 17*T1^16*T2^8 - 75*T1*T2^9 - 
      471*T1^2*T2^9 - 184*T1^3*T2^9 + 917*T1^4*T2^9 - 2434*T1^5*T2^9 - 
      1255*T1^6*T2^9 + 1347*T1^7*T2^9 - 1324*T1^8*T2^9 - 1324*T1^9*T2^9 + 
      1347*T1^10*T2^9 - 1255*T1^11*T2^9 - 2434*T1^12*T2^9 + 917*T1^13*T2^9 - 
      184*T1^14*T2^9 - 471*T1^15*T2^9 - 75*T1^16*T2^9 + 182*T1^2*T2^10 + 
      431*T1^3*T2^10 - 223*T1^4*T2^10 - 471*T1^5*T2^10 + 3357*T1^6*T2^10 - 
      1255*T1^7*T2^10 + 165*T1^8*T2^10 + 1347*T1^9*T2^10 + 165*T1^10*T2^10 - 
      1255*T1^11*T2^10 + 3357*T1^12*T2^10 - 471*T1^13*T2^10 - 
      223*T1^14*T2^10 + 431*T1^15*T2^10 + 182*T1^16*T2^10 - 280*T1^3*T2^11 - 
      180*T1^4*T2^11 + 446*T1^5*T2^11 - 471*T1^6*T2^11 - 2434*T1^7*T2^11 + 
      2166*T1^8*T2^11 - 1255*T1^9*T2^11 - 1255*T1^10*T2^11 + 
      2166*T1^11*T2^11 - 2434*T1^12*T2^11 - 471*T1^13*T2^11 + 
      446*T1^14*T2^11 - 180*T1^15*T2^11 - 280*T1^16*T2^11 + 321*T1^4*T2^12 - 
      180*T1^5*T2^12 - 223*T1^6*T2^12 + 917*T1^7*T2^12 + 1083*T1^8*T2^12 - 
      2434*T1^9*T2^12 + 3357*T1^10*T2^12 - 2434*T1^11*T2^12 + 
      1083*T1^12*T2^12 + 917*T1^13*T2^12 - 223*T1^14*T2^12 - 
      180*T1^15*T2^12 + 321*T1^16*T2^12 - 280*T1^5*T2^13 + 431*T1^6*T2^13 - 
      184*T1^7*T2^13 - 942*T1^8*T2^13 + 917*T1^9*T2^13 - 471*T1^10*T2^13 - 
      471*T1^11*T2^13 + 917*T1^12*T2^13 - 942*T1^13*T2^13 - 184*T1^14*T2^13 + 
      431*T1^15*T2^13 - 280*T1^16*T2^13 + 182*T1^6*T2^14 - 471*T1^7*T2^14 + 
      650*T1^8*T2^14 - 184*T1^9*T2^14 - 223*T1^10*T2^14 + 446*T1^11*T2^14 - 
      223*T1^12*T2^14 - 184*T1^13*T2^14 + 650*T1^14*T2^14 - 471*T1^15*T2^14 + 
      182*T1^16*T2^14 - 75*T1^7*T2^15 + 256*T1^8*T2^15 - 471*T1^9*T2^15 + 
      431*T1^10*T2^15 - 180*T1^11*T2^15 - 180*T1^12*T2^15 + 431*T1^13*T2^15 - 
      471*T1^14*T2^15 + 256*T1^15*T2^15 - 75*T1^16*T2^15 + 17*T1^8*T2^16 - 
      75*T1^9*T2^16 + 182*T1^10*T2^16 - 280*T1^11*T2^16 + 321*T1^12*T2^16 - 
      280*T1^13*T2^16 + 182*T1^14*T2^16 - 75*T1^15*T2^16 + 17*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 608] -> 
  {(4 - 19*T + 44*T^2 - 57*T^3 + 44*T^4 - 19*T^5 + 4*T^6)/T^3, 
   -((80 - 368*T1 + 844*T1^2 - 1088*T1^3 + 844*T1^4 - 368*T1^5 + 80*T1^6 - 
      368*T2 + 1328*T1*T2 - 2194*T1^2*T2 + 1126*T1^3*T2 + 1126*T1^4*T2 - 
      2194*T1^5*T2 + 1328*T1^6*T2 - 368*T1^7*T2 + 844*T2^2 - 2194*T1*T2^2 + 
      1942*T1^2*T2^2 + 2617*T1^3*T2^2 - 5434*T1^4*T2^2 + 2617*T1^5*T2^2 + 
      1942*T1^6*T2^2 - 2194*T1^7*T2^2 + 844*T1^8*T2^2 - 1088*T2^3 + 
      1126*T1*T2^3 + 2617*T1^2*T2^3 - 9804*T1^3*T2^3 + 5720*T1^4*T2^3 + 
      5720*T1^5*T2^3 - 9804*T1^6*T2^3 + 2617*T1^7*T2^3 + 1126*T1^8*T2^3 - 
      1088*T1^9*T2^3 + 844*T2^4 + 1126*T1*T2^4 - 5434*T1^2*T2^4 + 
      5720*T1^3*T2^4 + 13091*T1^4*T2^4 - 24869*T1^5*T2^4 + 13091*T1^6*T2^4 + 
      5720*T1^7*T2^4 - 5434*T1^8*T2^4 + 1126*T1^9*T2^4 + 844*T1^10*T2^4 - 
      368*T2^5 - 2194*T1*T2^5 + 2617*T1^2*T2^5 + 5720*T1^3*T2^5 - 
      24869*T1^4*T2^5 + 14710*T1^5*T2^5 + 14710*T1^6*T2^5 - 24869*T1^7*T2^5 + 
      5720*T1^8*T2^5 + 2617*T1^9*T2^5 - 2194*T1^10*T2^5 - 368*T1^11*T2^5 + 
      80*T2^6 + 1328*T1*T2^6 + 1942*T1^2*T2^6 - 9804*T1^3*T2^6 + 
      13091*T1^4*T2^6 + 14710*T1^5*T2^6 - 32676*T1^6*T2^6 + 14710*T1^7*T2^6 + 
      13091*T1^8*T2^6 - 9804*T1^9*T2^6 + 1942*T1^10*T2^6 + 1328*T1^11*T2^6 + 
      80*T1^12*T2^6 - 368*T1*T2^7 - 2194*T1^2*T2^7 + 2617*T1^3*T2^7 + 
      5720*T1^4*T2^7 - 24869*T1^5*T2^7 + 14710*T1^6*T2^7 + 14710*T1^7*T2^7 - 
      24869*T1^8*T2^7 + 5720*T1^9*T2^7 + 2617*T1^10*T2^7 - 2194*T1^11*T2^7 - 
      368*T1^12*T2^7 + 844*T1^2*T2^8 + 1126*T1^3*T2^8 - 5434*T1^4*T2^8 + 
      5720*T1^5*T2^8 + 13091*T1^6*T2^8 - 24869*T1^7*T2^8 + 13091*T1^8*T2^8 + 
      5720*T1^9*T2^8 - 5434*T1^10*T2^8 + 1126*T1^11*T2^8 + 844*T1^12*T2^8 - 
      1088*T1^3*T2^9 + 1126*T1^4*T2^9 + 2617*T1^5*T2^9 - 9804*T1^6*T2^9 + 
      5720*T1^7*T2^9 + 5720*T1^8*T2^9 - 9804*T1^9*T2^9 + 2617*T1^10*T2^9 + 
      1126*T1^11*T2^9 - 1088*T1^12*T2^9 + 844*T1^4*T2^10 - 2194*T1^5*T2^10 + 
      1942*T1^6*T2^10 + 2617*T1^7*T2^10 - 5434*T1^8*T2^10 + 2617*T1^9*T2^10 + 
      1942*T1^10*T2^10 - 2194*T1^11*T2^10 + 844*T1^12*T2^10 - 
      368*T1^5*T2^11 + 1328*T1^6*T2^11 - 2194*T1^7*T2^11 + 1126*T1^8*T2^11 + 
      1126*T1^9*T2^11 - 2194*T1^10*T2^11 + 1328*T1^11*T2^11 - 
      368*T1^12*T2^11 + 80*T1^6*T2^12 - 368*T1^7*T2^12 + 844*T1^8*T2^12 - 
      1088*T1^9*T2^12 + 844*T1^10*T2^12 - 368*T1^11*T2^12 + 80*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, Alternating, 609] -> 
  {(5 - 23*T + 51*T^2 - 65*T^3 + 51*T^4 - 23*T^5 + 5*T^6)/T^3, 
   -((145 - 655*T1 + 1442*T1^2 - 1827*T1^3 + 1442*T1^4 - 655*T1^5 + 
      145*T1^6 - 655*T2 + 2316*T1*T2 - 3583*T1^2*T2 + 1759*T1^3*T2 + 
      1759*T1^4*T2 - 3583*T1^5*T2 + 2316*T1^6*T2 - 655*T1^7*T2 + 1442*T2^2 - 
      3583*T1*T2^2 + 2435*T1^2*T2^2 + 4880*T1^3*T2^2 - 8911*T1^4*T2^2 + 
      4880*T1^5*T2^2 + 2435*T1^6*T2^2 - 3583*T1^7*T2^2 + 1442*T1^8*T2^2 - 
      1827*T2^3 + 1759*T1*T2^3 + 4880*T1^2*T2^3 - 14700*T1^3*T2^3 + 
      7857*T1^4*T2^3 + 7857*T1^5*T2^3 - 14700*T1^6*T2^3 + 4880*T1^7*T2^3 + 
      1759*T1^8*T2^3 - 1827*T1^9*T2^3 + 1442*T2^4 + 1759*T1*T2^4 - 
      8911*T1^2*T2^4 + 7857*T1^3*T2^4 + 17736*T1^4*T2^4 - 31638*T1^5*T2^4 + 
      17736*T1^6*T2^4 + 7857*T1^7*T2^4 - 8911*T1^8*T2^4 + 1759*T1^9*T2^4 + 
      1442*T1^10*T2^4 - 655*T2^5 - 3583*T1*T2^5 + 4880*T1^2*T2^5 + 
      7857*T1^3*T2^5 - 31638*T1^4*T2^5 + 17082*T1^5*T2^5 + 17082*T1^6*T2^5 - 
      31638*T1^7*T2^5 + 7857*T1^8*T2^5 + 4880*T1^9*T2^5 - 3583*T1^10*T2^5 - 
      655*T1^11*T2^5 + 145*T2^6 + 2316*T1*T2^6 + 2435*T1^2*T2^6 - 
      14700*T1^3*T2^6 + 17736*T1^4*T2^6 + 17082*T1^5*T2^6 - 36228*T1^6*T2^6 + 
      17082*T1^7*T2^6 + 17736*T1^8*T2^6 - 14700*T1^9*T2^6 + 2435*T1^10*T2^6 + 
      2316*T1^11*T2^6 + 145*T1^12*T2^6 - 655*T1*T2^7 - 3583*T1^2*T2^7 + 
      4880*T1^3*T2^7 + 7857*T1^4*T2^7 - 31638*T1^5*T2^7 + 17082*T1^6*T2^7 + 
      17082*T1^7*T2^7 - 31638*T1^8*T2^7 + 7857*T1^9*T2^7 + 4880*T1^10*T2^7 - 
      3583*T1^11*T2^7 - 655*T1^12*T2^7 + 1442*T1^2*T2^8 + 1759*T1^3*T2^8 - 
      8911*T1^4*T2^8 + 7857*T1^5*T2^8 + 17736*T1^6*T2^8 - 31638*T1^7*T2^8 + 
      17736*T1^8*T2^8 + 7857*T1^9*T2^8 - 8911*T1^10*T2^8 + 1759*T1^11*T2^8 + 
      1442*T1^12*T2^8 - 1827*T1^3*T2^9 + 1759*T1^4*T2^9 + 4880*T1^5*T2^9 - 
      14700*T1^6*T2^9 + 7857*T1^7*T2^9 + 7857*T1^8*T2^9 - 14700*T1^9*T2^9 + 
      4880*T1^10*T2^9 + 1759*T1^11*T2^9 - 1827*T1^12*T2^9 + 1442*T1^4*T2^10 - 
      3583*T1^5*T2^10 + 2435*T1^6*T2^10 + 4880*T1^7*T2^10 - 8911*T1^8*T2^10 + 
      4880*T1^9*T2^10 + 2435*T1^10*T2^10 - 3583*T1^11*T2^10 + 
      1442*T1^12*T2^10 - 655*T1^5*T2^11 + 2316*T1^6*T2^11 - 3583*T1^7*T2^11 + 
      1759*T1^8*T2^11 + 1759*T1^9*T2^11 - 3583*T1^10*T2^11 + 
      2316*T1^11*T2^11 - 655*T1^12*T2^11 + 145*T1^6*T2^12 - 655*T1^7*T2^12 + 
      1442*T1^8*T2^12 - 1827*T1^9*T2^12 + 1442*T1^10*T2^12 - 
      655*T1^11*T2^12 + 145*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 610] -> {(11 - 34*T + 47*T^2 - 34*T^3 + 11*T^4)/T^2, 
   (3311 - 10016*T1 + 13767*T1^2 - 10016*T1^3 + 3311*T1^4 - 10016*T2 + 
     20406*T1*T2 - 11450*T1^2*T2 - 11450*T1^3*T2 + 20406*T1^4*T2 - 
     10016*T1^5*T2 + 13767*T2^2 - 11450*T1*T2^2 - 21748*T1^2*T2^2 + 
     44840*T1^3*T2^2 - 21748*T1^4*T2^2 - 11450*T1^5*T2^2 + 13767*T1^6*T2^2 - 
     10016*T2^3 - 11450*T1*T2^3 + 44840*T1^2*T2^3 - 28616*T1^3*T2^3 - 
     28616*T1^4*T2^3 + 44840*T1^5*T2^3 - 11450*T1^6*T2^3 - 10016*T1^7*T2^3 + 
     3311*T2^4 + 20406*T1*T2^4 - 21748*T1^2*T2^4 - 28616*T1^3*T2^4 + 
     65832*T1^4*T2^4 - 28616*T1^5*T2^4 - 21748*T1^6*T2^4 + 20406*T1^7*T2^4 + 
     3311*T1^8*T2^4 - 10016*T1*T2^5 - 11450*T1^2*T2^5 + 44840*T1^3*T2^5 - 
     28616*T1^4*T2^5 - 28616*T1^5*T2^5 + 44840*T1^6*T2^5 - 11450*T1^7*T2^5 - 
     10016*T1^8*T2^5 + 13767*T1^2*T2^6 - 11450*T1^3*T2^6 - 21748*T1^4*T2^6 + 
     44840*T1^5*T2^6 - 21748*T1^6*T2^6 - 11450*T1^7*T2^6 + 13767*T1^8*T2^6 - 
     10016*T1^3*T2^7 + 20406*T1^4*T2^7 - 11450*T1^5*T2^7 - 11450*T1^6*T2^7 + 
     20406*T1^7*T2^7 - 10016*T1^8*T2^7 + 3311*T1^4*T2^8 - 10016*T1^5*T2^8 + 
     13767*T1^6*T2^8 - 10016*T1^7*T2^8 + 3311*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, Alternating, 611] -> 
  {-(((1 - T + T^2)*(4 - 20*T + 31*T^2 - 20*T^3 + 4*T^4))/T^3), 
   -((144 - 844*T1 + 1896*T1^2 - 2432*T1^3 + 1896*T1^4 - 844*T1^5 + 
      144*T1^6 - 844*T2 + 4112*T1*T2 - 6208*T1^2*T2 + 3170*T1^3*T2 + 
      3170*T1^4*T2 - 6208*T1^5*T2 + 4112*T1^6*T2 - 844*T1^7*T2 + 1896*T2^2 - 
      6208*T1*T2^2 - 1818*T1^2*T2^2 + 21639*T1^3*T2^2 - 33326*T1^4*T2^2 + 
      21639*T1^5*T2^2 - 1818*T1^6*T2^2 - 6208*T1^7*T2^2 + 1896*T1^8*T2^2 - 
      2432*T2^3 + 3170*T1*T2^3 + 21639*T1^2*T2^3 - 42976*T1^3*T2^3 + 
      24054*T1^4*T2^3 + 24054*T1^5*T2^3 - 42976*T1^6*T2^3 + 21639*T1^7*T2^3 + 
      3170*T1^8*T2^3 - 2432*T1^9*T2^3 + 1896*T2^4 + 3170*T1*T2^4 - 
      33326*T1^2*T2^4 + 24054*T1^3*T2^4 + 34193*T1^4*T2^4 - 74117*T1^5*T2^4 + 
      34193*T1^6*T2^4 + 24054*T1^7*T2^4 - 33326*T1^8*T2^4 + 3170*T1^9*T2^4 + 
      1896*T1^10*T2^4 - 844*T2^5 - 6208*T1*T2^5 + 21639*T1^2*T2^5 + 
      24054*T1^3*T2^5 - 74117*T1^4*T2^5 + 46090*T1^5*T2^5 + 46090*T1^6*T2^5 - 
      74117*T1^7*T2^5 + 24054*T1^8*T2^5 + 21639*T1^9*T2^5 - 6208*T1^10*T2^5 - 
      844*T1^11*T2^5 + 144*T2^6 + 4112*T1*T2^6 - 1818*T1^2*T2^6 - 
      42976*T1^3*T2^6 + 34193*T1^4*T2^6 + 46090*T1^5*T2^6 - 
      103704*T1^6*T2^6 + 46090*T1^7*T2^6 + 34193*T1^8*T2^6 - 
      42976*T1^9*T2^6 - 1818*T1^10*T2^6 + 4112*T1^11*T2^6 + 144*T1^12*T2^6 - 
      844*T1*T2^7 - 6208*T1^2*T2^7 + 21639*T1^3*T2^7 + 24054*T1^4*T2^7 - 
      74117*T1^5*T2^7 + 46090*T1^6*T2^7 + 46090*T1^7*T2^7 - 74117*T1^8*T2^7 + 
      24054*T1^9*T2^7 + 21639*T1^10*T2^7 - 6208*T1^11*T2^7 - 844*T1^12*T2^7 + 
      1896*T1^2*T2^8 + 3170*T1^3*T2^8 - 33326*T1^4*T2^8 + 24054*T1^5*T2^8 + 
      34193*T1^6*T2^8 - 74117*T1^7*T2^8 + 34193*T1^8*T2^8 + 24054*T1^9*T2^8 - 
      33326*T1^10*T2^8 + 3170*T1^11*T2^8 + 1896*T1^12*T2^8 - 2432*T1^3*T2^9 + 
      3170*T1^4*T2^9 + 21639*T1^5*T2^9 - 42976*T1^6*T2^9 + 24054*T1^7*T2^9 + 
      24054*T1^8*T2^9 - 42976*T1^9*T2^9 + 21639*T1^10*T2^9 + 
      3170*T1^11*T2^9 - 2432*T1^12*T2^9 + 1896*T1^4*T2^10 - 6208*T1^5*T2^10 - 
      1818*T1^6*T2^10 + 21639*T1^7*T2^10 - 33326*T1^8*T2^10 + 
      21639*T1^9*T2^10 - 1818*T1^10*T2^10 - 6208*T1^11*T2^10 + 
      1896*T1^12*T2^10 - 844*T1^5*T2^11 + 4112*T1^6*T2^11 - 6208*T1^7*T2^11 + 
      3170*T1^8*T2^11 + 3170*T1^9*T2^11 - 6208*T1^10*T2^11 + 
      4112*T1^11*T2^11 - 844*T1^12*T2^11 + 144*T1^6*T2^12 - 844*T1^7*T2^12 + 
      1896*T1^8*T2^12 - 2432*T1^9*T2^12 + 1896*T1^10*T2^12 - 
      844*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 612] -> 
  {-((4 - 17*T + 32*T^2 - 39*T^3 + 32*T^4 - 17*T^5 + 4*T^6)/T^3), 
   -((128 - 524*T1 + 956*T1^2 - 1152*T1^3 + 956*T1^4 - 524*T1^5 + 128*T1^6 - 
      524*T2 + 1632*T1*T2 - 1805*T1^2*T2 + 823*T1^3*T2 + 823*T1^4*T2 - 
      1805*T1^5*T2 + 1632*T1^6*T2 - 524*T1^7*T2 + 956*T2^2 - 1805*T1*T2^2 - 
      652*T1^2*T2^2 + 3772*T1^3*T2^2 - 5462*T1^4*T2^2 + 3772*T1^5*T2^2 - 
      652*T1^6*T2^2 - 1805*T1^7*T2^2 + 956*T1^8*T2^2 - 1152*T2^3 + 
      823*T1*T2^3 + 3772*T1^2*T2^3 - 5014*T1^3*T2^3 + 2640*T1^4*T2^3 + 
      2640*T1^5*T2^3 - 5014*T1^6*T2^3 + 3772*T1^7*T2^3 + 823*T1^8*T2^3 - 
      1152*T1^9*T2^3 + 956*T2^4 + 823*T1*T2^4 - 5462*T1^2*T2^4 + 
      2640*T1^3*T2^4 + 1597*T1^4*T2^4 - 4741*T1^5*T2^4 + 1597*T1^6*T2^4 + 
      2640*T1^7*T2^4 - 5462*T1^8*T2^4 + 823*T1^9*T2^4 + 956*T1^10*T2^4 - 
      524*T2^5 - 1805*T1*T2^5 + 3772*T1^2*T2^5 + 2640*T1^3*T2^5 - 
      4741*T1^4*T2^5 + 3088*T1^5*T2^5 + 3088*T1^6*T2^5 - 4741*T1^7*T2^5 + 
      2640*T1^8*T2^5 + 3772*T1^9*T2^5 - 1805*T1^10*T2^5 - 524*T1^11*T2^5 + 
      128*T2^6 + 1632*T1*T2^6 - 652*T1^2*T2^6 - 5014*T1^3*T2^6 + 
      1597*T1^4*T2^6 + 3088*T1^5*T2^6 - 6888*T1^6*T2^6 + 3088*T1^7*T2^6 + 
      1597*T1^8*T2^6 - 5014*T1^9*T2^6 - 652*T1^10*T2^6 + 1632*T1^11*T2^6 + 
      128*T1^12*T2^6 - 524*T1*T2^7 - 1805*T1^2*T2^7 + 3772*T1^3*T2^7 + 
      2640*T1^4*T2^7 - 4741*T1^5*T2^7 + 3088*T1^6*T2^7 + 3088*T1^7*T2^7 - 
      4741*T1^8*T2^7 + 2640*T1^9*T2^7 + 3772*T1^10*T2^7 - 1805*T1^11*T2^7 - 
      524*T1^12*T2^7 + 956*T1^2*T2^8 + 823*T1^3*T2^8 - 5462*T1^4*T2^8 + 
      2640*T1^5*T2^8 + 1597*T1^6*T2^8 - 4741*T1^7*T2^8 + 1597*T1^8*T2^8 + 
      2640*T1^9*T2^8 - 5462*T1^10*T2^8 + 823*T1^11*T2^8 + 956*T1^12*T2^8 - 
      1152*T1^3*T2^9 + 823*T1^4*T2^9 + 3772*T1^5*T2^9 - 5014*T1^6*T2^9 + 
      2640*T1^7*T2^9 + 2640*T1^8*T2^9 - 5014*T1^9*T2^9 + 3772*T1^10*T2^9 + 
      823*T1^11*T2^9 - 1152*T1^12*T2^9 + 956*T1^4*T2^10 - 1805*T1^5*T2^10 - 
      652*T1^6*T2^10 + 3772*T1^7*T2^10 - 5462*T1^8*T2^10 + 3772*T1^9*T2^10 - 
      652*T1^10*T2^10 - 1805*T1^11*T2^10 + 956*T1^12*T2^10 - 524*T1^5*T2^11 + 
      1632*T1^6*T2^11 - 1805*T1^7*T2^11 + 823*T1^8*T2^11 + 823*T1^9*T2^11 - 
      1805*T1^10*T2^11 + 1632*T1^11*T2^11 - 524*T1^12*T2^11 + 
      128*T1^6*T2^12 - 524*T1^7*T2^12 + 956*T1^8*T2^12 - 1152*T1^9*T2^12 + 
      956*T1^10*T2^12 - 524*T1^11*T2^12 + 128*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 613] -> 
  {(3 - 15*T + 36*T^2 - 47*T^3 + 36*T^4 - 15*T^5 + 3*T^6)/T^3, 
   -((36 - 174*T1 + 414*T1^2 - 538*T1^3 + 414*T1^4 - 174*T1^5 + 36*T1^6 - 
      174*T2 + 666*T1*T2 - 1155*T1^2*T2 + 597*T1^3*T2 + 597*T1^4*T2 - 
      1155*T1^5*T2 + 666*T1^6*T2 - 174*T1^7*T2 + 414*T2^2 - 1155*T1*T2^2 + 
      1074*T1^2*T2^2 + 1569*T1^3*T2^2 - 3182*T1^4*T2^2 + 1569*T1^5*T2^2 + 
      1074*T1^6*T2^2 - 1155*T1^7*T2^2 + 414*T1^8*T2^2 - 538*T2^3 + 
      597*T1*T2^3 + 1569*T1^2*T2^3 - 6026*T1^3*T2^3 + 3475*T1^4*T2^3 + 
      3475*T1^5*T2^3 - 6026*T1^6*T2^3 + 1569*T1^7*T2^3 + 597*T1^8*T2^3 - 
      538*T1^9*T2^3 + 414*T2^4 + 597*T1*T2^4 - 3182*T1^2*T2^4 + 
      3475*T1^3*T2^4 + 8527*T1^4*T2^4 - 15851*T1^5*T2^4 + 8527*T1^6*T2^4 + 
      3475*T1^7*T2^4 - 3182*T1^8*T2^4 + 597*T1^9*T2^4 + 414*T1^10*T2^4 - 
      174*T2^5 - 1155*T1*T2^5 + 1569*T1^2*T2^5 + 3475*T1^3*T2^5 - 
      15851*T1^4*T2^5 + 9250*T1^5*T2^5 + 9250*T1^6*T2^5 - 15851*T1^7*T2^5 + 
      3475*T1^8*T2^5 + 1569*T1^9*T2^5 - 1155*T1^10*T2^5 - 174*T1^11*T2^5 + 
      36*T2^6 + 666*T1*T2^6 + 1074*T1^2*T2^6 - 6026*T1^3*T2^6 + 
      8527*T1^4*T2^6 + 9250*T1^5*T2^6 - 20448*T1^6*T2^6 + 9250*T1^7*T2^6 + 
      8527*T1^8*T2^6 - 6026*T1^9*T2^6 + 1074*T1^10*T2^6 + 666*T1^11*T2^6 + 
      36*T1^12*T2^6 - 174*T1*T2^7 - 1155*T1^2*T2^7 + 1569*T1^3*T2^7 + 
      3475*T1^4*T2^7 - 15851*T1^5*T2^7 + 9250*T1^6*T2^7 + 9250*T1^7*T2^7 - 
      15851*T1^8*T2^7 + 3475*T1^9*T2^7 + 1569*T1^10*T2^7 - 1155*T1^11*T2^7 - 
      174*T1^12*T2^7 + 414*T1^2*T2^8 + 597*T1^3*T2^8 - 3182*T1^4*T2^8 + 
      3475*T1^5*T2^8 + 8527*T1^6*T2^8 - 15851*T1^7*T2^8 + 8527*T1^8*T2^8 + 
      3475*T1^9*T2^8 - 3182*T1^10*T2^8 + 597*T1^11*T2^8 + 414*T1^12*T2^8 - 
      538*T1^3*T2^9 + 597*T1^4*T2^9 + 1569*T1^5*T2^9 - 6026*T1^6*T2^9 + 
      3475*T1^7*T2^9 + 3475*T1^8*T2^9 - 6026*T1^9*T2^9 + 1569*T1^10*T2^9 + 
      597*T1^11*T2^9 - 538*T1^12*T2^9 + 414*T1^4*T2^10 - 1155*T1^5*T2^10 + 
      1074*T1^6*T2^10 + 1569*T1^7*T2^10 - 3182*T1^8*T2^10 + 1569*T1^9*T2^10 + 
      1074*T1^10*T2^10 - 1155*T1^11*T2^10 + 414*T1^12*T2^10 - 
      174*T1^5*T2^11 + 666*T1^6*T2^11 - 1155*T1^7*T2^11 + 597*T1^8*T2^11 + 
      597*T1^9*T2^11 - 1155*T1^10*T2^11 + 666*T1^11*T2^11 - 174*T1^12*T2^11 + 
      36*T1^6*T2^12 - 174*T1^7*T2^12 + 414*T1^8*T2^12 - 538*T1^9*T2^12 + 
      414*T1^10*T2^12 - 174*T1^11*T2^12 + 36*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 614] -> 
  {((1 - 3*T + T^2)*(3 - 11*T + 15*T^2 - 11*T^3 + 3*T^4))/T^3, 
   (30 - 199*T1 + 502*T1^2 - 654*T1^3 + 502*T1^4 - 199*T1^5 + 30*T1^6 - 
     199*T2 + 1124*T1*T2 - 2023*T1^2*T2 + 1020*T1^3*T2 + 1020*T1^4*T2 - 
     2023*T1^5*T2 + 1124*T1^6*T2 - 199*T1^7*T2 + 502*T2^2 - 2023*T1*T2^2 + 
     233*T1^2*T2^2 + 7693*T1^3*T2^2 - 11935*T1^4*T2^2 + 7693*T1^5*T2^2 + 
     233*T1^6*T2^2 - 2023*T1^7*T2^2 + 502*T1^8*T2^2 - 654*T2^3 + 
     1020*T1*T2^3 + 7693*T1^2*T2^3 - 20048*T1^3*T2^3 + 10563*T1^4*T2^3 + 
     10563*T1^5*T2^3 - 20048*T1^6*T2^3 + 7693*T1^7*T2^3 + 1020*T1^8*T2^3 - 
     654*T1^9*T2^3 + 502*T2^4 + 1020*T1*T2^4 - 11935*T1^2*T2^4 + 
     10563*T1^3*T2^4 + 26125*T1^4*T2^4 - 46401*T1^5*T2^4 + 26125*T1^6*T2^4 + 
     10563*T1^7*T2^4 - 11935*T1^8*T2^4 + 1020*T1^9*T2^4 + 502*T1^10*T2^4 - 
     199*T2^5 - 2023*T1*T2^5 + 7693*T1^2*T2^5 + 10563*T1^3*T2^5 - 
     46401*T1^4*T2^5 + 25636*T1^5*T2^5 + 25636*T1^6*T2^5 - 46401*T1^7*T2^5 + 
     10563*T1^8*T2^5 + 7693*T1^9*T2^5 - 2023*T1^10*T2^5 - 199*T1^11*T2^5 + 
     30*T2^6 + 1124*T1*T2^6 + 233*T1^2*T2^6 - 20048*T1^3*T2^6 + 
     26125*T1^4*T2^6 + 25636*T1^5*T2^6 - 55332*T1^6*T2^6 + 25636*T1^7*T2^6 + 
     26125*T1^8*T2^6 - 20048*T1^9*T2^6 + 233*T1^10*T2^6 + 1124*T1^11*T2^6 + 
     30*T1^12*T2^6 - 199*T1*T2^7 - 2023*T1^2*T2^7 + 7693*T1^3*T2^7 + 
     10563*T1^4*T2^7 - 46401*T1^5*T2^7 + 25636*T1^6*T2^7 + 25636*T1^7*T2^7 - 
     46401*T1^8*T2^7 + 10563*T1^9*T2^7 + 7693*T1^10*T2^7 - 2023*T1^11*T2^7 - 
     199*T1^12*T2^7 + 502*T1^2*T2^8 + 1020*T1^3*T2^8 - 11935*T1^4*T2^8 + 
     10563*T1^5*T2^8 + 26125*T1^6*T2^8 - 46401*T1^7*T2^8 + 26125*T1^8*T2^8 + 
     10563*T1^9*T2^8 - 11935*T1^10*T2^8 + 1020*T1^11*T2^8 + 502*T1^12*T2^8 - 
     654*T1^3*T2^9 + 1020*T1^4*T2^9 + 7693*T1^5*T2^9 - 20048*T1^6*T2^9 + 
     10563*T1^7*T2^9 + 10563*T1^8*T2^9 - 20048*T1^9*T2^9 + 7693*T1^10*T2^9 + 
     1020*T1^11*T2^9 - 654*T1^12*T2^9 + 502*T1^4*T2^10 - 2023*T1^5*T2^10 + 
     233*T1^6*T2^10 + 7693*T1^7*T2^10 - 11935*T1^8*T2^10 + 7693*T1^9*T2^10 + 
     233*T1^10*T2^10 - 2023*T1^11*T2^10 + 502*T1^12*T2^10 - 199*T1^5*T2^11 + 
     1124*T1^6*T2^11 - 2023*T1^7*T2^11 + 1020*T1^8*T2^11 + 1020*T1^9*T2^11 - 
     2023*T1^10*T2^11 + 1124*T1^11*T2^11 - 199*T1^12*T2^11 + 30*T1^6*T2^12 - 
     199*T1^7*T2^12 + 502*T1^8*T2^12 - 654*T1^9*T2^12 + 502*T1^10*T2^12 - 
     199*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 615] -> {((1 - T + T^2)^2*(7 - 13*T + 7*T^2))/T^3, 
   (2*(1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (560 - 1546*T1 + 2061*T1^2 - 1546*T1^3 + 560*T1^4 - 1546*T2 + 
      2762*T1*T2 - 1455*T1^2*T2 - 1455*T1^3*T2 + 2762*T1^4*T2 - 
      1546*T1^5*T2 + 2061*T2^2 - 1455*T1*T2^2 - 2500*T1^2*T2^2 + 
      5029*T1^3*T2^2 - 2500*T1^4*T2^2 - 1455*T1^5*T2^2 + 2061*T1^6*T2^2 - 
      1546*T2^3 - 1455*T1*T2^3 + 5029*T1^2*T2^3 - 3058*T1^3*T2^3 - 
      3058*T1^4*T2^3 + 5029*T1^5*T2^3 - 1455*T1^6*T2^3 - 1546*T1^7*T2^3 + 
      560*T2^4 + 2762*T1*T2^4 - 2500*T1^2*T2^4 - 3058*T1^3*T2^4 + 
      6888*T1^4*T2^4 - 3058*T1^5*T2^4 - 2500*T1^6*T2^4 + 2762*T1^7*T2^4 + 
      560*T1^8*T2^4 - 1546*T1*T2^5 - 1455*T1^2*T2^5 + 5029*T1^3*T2^5 - 
      3058*T1^4*T2^5 - 3058*T1^5*T2^5 + 5029*T1^6*T2^5 - 1455*T1^7*T2^5 - 
      1546*T1^8*T2^5 + 2061*T1^2*T2^6 - 1455*T1^3*T2^6 - 2500*T1^4*T2^6 + 
      5029*T1^5*T2^6 - 2500*T1^6*T2^6 - 1455*T1^7*T2^6 + 2061*T1^8*T2^6 - 
      1546*T1^3*T2^7 + 2762*T1^4*T2^7 - 1455*T1^5*T2^7 - 1455*T1^6*T2^7 + 
      2762*T1^7*T2^7 - 1546*T1^8*T2^7 + 560*T1^4*T2^8 - 1546*T1^5*T2^8 + 
      2061*T1^6*T2^8 - 1546*T1^7*T2^8 + 560*T1^8*T2^8))/(T1^6*T2^6)}, 
 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, (17 - 92*T1 + 264*T1^2 - 447*T1^3 + 525*T1^4 - 447*T1^5 + 264*T1^6 - 
     92*T1^7 + 17*T1^8 - 92*T2 + 408*T1*T2 - 939*T1^2*T2 + 1005*T1^3*T2 - 
     430*T1^4*T2 - 430*T1^5*T2 + 1005*T1^6*T2 - 939*T1^7*T2 + 408*T1^8*T2 - 
     92*T1^9*T2 + 264*T2^2 - 939*T1*T2^2 + 1673*T1^2*T2^2 - 573*T1^3*T2^2 - 
     1084*T1^4*T2^2 + 1839*T1^5*T2^2 - 1084*T1^6*T2^2 - 573*T1^7*T2^2 + 
     1673*T1^8*T2^2 - 939*T1^9*T2^2 + 264*T1^10*T2^2 - 447*T2^3 + 
     1005*T1*T2^3 - 573*T1^2*T2^3 - 3446*T1^3*T2^3 + 4628*T1^4*T2^3 - 
     2086*T1^5*T2^3 - 2086*T1^6*T2^3 + 4628*T1^7*T2^3 - 3446*T1^8*T2^3 - 
     573*T1^9*T2^3 + 1005*T1^10*T2^3 - 447*T1^11*T2^3 + 525*T2^4 - 
     430*T1*T2^4 - 1084*T1^2*T2^4 + 4628*T1^3*T2^4 + 2723*T1^4*T2^4 - 
     12248*T1^5*T2^4 + 16473*T1^6*T2^4 - 12248*T1^7*T2^4 + 2723*T1^8*T2^4 + 
     4628*T1^9*T2^4 - 1084*T1^10*T2^4 - 430*T1^11*T2^4 + 525*T1^12*T2^4 - 
     447*T2^5 - 430*T1*T2^5 + 1839*T1^2*T2^5 - 2086*T1^3*T2^5 - 
     12248*T1^4*T2^5 + 15834*T1^5*T2^5 - 7090*T1^6*T2^5 - 7090*T1^7*T2^5 + 
     15834*T1^8*T2^5 - 12248*T1^9*T2^5 - 2086*T1^10*T2^5 + 1839*T1^11*T2^5 - 
     430*T1^12*T2^5 - 447*T1^13*T2^5 + 264*T2^6 + 1005*T1*T2^6 - 
     1084*T1^2*T2^6 - 2086*T1^3*T2^6 + 16473*T1^4*T2^6 - 7090*T1^5*T2^6 - 
     6706*T1^6*T2^6 + 13062*T1^7*T2^6 - 6706*T1^8*T2^6 - 7090*T1^9*T2^6 + 
     16473*T1^10*T2^6 - 2086*T1^11*T2^6 - 1084*T1^12*T2^6 + 1005*T1^13*T2^6 + 
     264*T1^14*T2^6 - 92*T2^7 - 939*T1*T2^7 - 573*T1^2*T2^7 + 
     4628*T1^3*T2^7 - 12248*T1^4*T2^7 - 7090*T1^5*T2^7 + 13062*T1^6*T2^7 - 
     6258*T1^7*T2^7 - 6258*T1^8*T2^7 + 13062*T1^9*T2^7 - 7090*T1^10*T2^7 - 
     12248*T1^11*T2^7 + 4628*T1^12*T2^7 - 573*T1^13*T2^7 - 939*T1^14*T2^7 - 
     92*T1^15*T2^7 + 17*T2^8 + 408*T1*T2^8 + 1673*T1^2*T2^8 - 
     3446*T1^3*T2^8 + 2723*T1^4*T2^8 + 15834*T1^5*T2^8 - 6706*T1^6*T2^8 - 
     6258*T1^7*T2^8 + 12240*T1^8*T2^8 - 6258*T1^9*T2^8 - 6706*T1^10*T2^8 + 
     15834*T1^11*T2^8 + 2723*T1^12*T2^8 - 3446*T1^13*T2^8 + 1673*T1^14*T2^8 + 
     408*T1^15*T2^8 + 17*T1^16*T2^8 - 92*T1*T2^9 - 939*T1^2*T2^9 - 
     573*T1^3*T2^9 + 4628*T1^4*T2^9 - 12248*T1^5*T2^9 - 7090*T1^6*T2^9 + 
     13062*T1^7*T2^9 - 6258*T1^8*T2^9 - 6258*T1^9*T2^9 + 13062*T1^10*T2^9 - 
     7090*T1^11*T2^9 - 12248*T1^12*T2^9 + 4628*T1^13*T2^9 - 573*T1^14*T2^9 - 
     939*T1^15*T2^9 - 92*T1^16*T2^9 + 264*T1^2*T2^10 + 1005*T1^3*T2^10 - 
     1084*T1^4*T2^10 - 2086*T1^5*T2^10 + 16473*T1^6*T2^10 - 7090*T1^7*T2^10 - 
     6706*T1^8*T2^10 + 13062*T1^9*T2^10 - 6706*T1^10*T2^10 - 
     7090*T1^11*T2^10 + 16473*T1^12*T2^10 - 2086*T1^13*T2^10 - 
     1084*T1^14*T2^10 + 1005*T1^15*T2^10 + 264*T1^16*T2^10 - 447*T1^3*T2^11 - 
     430*T1^4*T2^11 + 1839*T1^5*T2^11 - 2086*T1^6*T2^11 - 12248*T1^7*T2^11 + 
     15834*T1^8*T2^11 - 7090*T1^9*T2^11 - 7090*T1^10*T2^11 + 
     15834*T1^11*T2^11 - 12248*T1^12*T2^11 - 2086*T1^13*T2^11 + 
     1839*T1^14*T2^11 - 430*T1^15*T2^11 - 447*T1^16*T2^11 + 525*T1^4*T2^12 - 
     430*T1^5*T2^12 - 1084*T1^6*T2^12 + 4628*T1^7*T2^12 + 2723*T1^8*T2^12 - 
     12248*T1^9*T2^12 + 16473*T1^10*T2^12 - 12248*T1^11*T2^12 + 
     2723*T1^12*T2^12 + 4628*T1^13*T2^12 - 1084*T1^14*T2^12 - 
     430*T1^15*T2^12 + 525*T1^16*T2^12 - 447*T1^5*T2^13 + 1005*T1^6*T2^13 - 
     573*T1^7*T2^13 - 3446*T1^8*T2^13 + 4628*T1^9*T2^13 - 2086*T1^10*T2^13 - 
     2086*T1^11*T2^13 + 4628*T1^12*T2^13 - 3446*T1^13*T2^13 - 
     573*T1^14*T2^13 + 1005*T1^15*T2^13 - 447*T1^16*T2^13 + 264*T1^6*T2^14 - 
     939*T1^7*T2^14 + 1673*T1^8*T2^14 - 573*T1^9*T2^14 - 1084*T1^10*T2^14 + 
     1839*T1^11*T2^14 - 1084*T1^12*T2^14 - 573*T1^13*T2^14 + 
     1673*T1^14*T2^14 - 939*T1^15*T2^14 + 264*T1^16*T2^14 - 92*T1^7*T2^15 + 
     408*T1^8*T2^15 - 939*T1^9*T2^15 + 1005*T1^10*T2^15 - 430*T1^11*T2^15 - 
     430*T1^12*T2^15 + 1005*T1^13*T2^15 - 939*T1^14*T2^15 + 408*T1^15*T2^15 - 
     92*T1^16*T2^15 + 17*T1^8*T2^16 - 92*T1^9*T2^16 + 264*T1^10*T2^16 - 
     447*T1^11*T2^16 + 525*T1^12*T2^16 - 447*T1^13*T2^16 + 264*T1^14*T2^16 - 
     92*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 
   (1 - 4*T1 + 10*T1^2 - 17*T1^3 + 21*T1^4 - 17*T1^5 + 10*T1^6 - 4*T1^7 + 
     T1^8 - 4*T2 + 12*T1*T2 - 24*T1^2*T2 + 28*T1^3*T2 - 16*T1^4*T2 - 
     16*T1^5*T2 + 28*T1^6*T2 - 24*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 
     10*T2^2 - 24*T1*T2^2 + 48*T1^2*T2^2 - 68*T1^3*T2^2 + 93*T1^4*T2^2 - 
     82*T1^5*T2^2 + 93*T1^6*T2^2 - 68*T1^7*T2^2 + 48*T1^8*T2^2 - 
     24*T1^9*T2^2 + 10*T1^10*T2^2 - 17*T2^3 + 28*T1*T2^3 - 68*T1^2*T2^3 + 
     118*T1^3*T2^3 - 181*T1^4*T2^3 + 58*T1^5*T2^3 + 58*T1^6*T2^3 - 
     181*T1^7*T2^3 + 118*T1^8*T2^3 - 68*T1^9*T2^3 + 28*T1^10*T2^3 - 
     17*T1^11*T2^3 + 21*T2^4 - 16*T1*T2^4 + 93*T1^2*T2^4 - 181*T1^3*T2^4 + 
     258*T1^4*T2^4 + 67*T1^5*T2^4 - 130*T1^6*T2^4 + 67*T1^7*T2^4 + 
     258*T1^8*T2^4 - 181*T1^9*T2^4 + 93*T1^10*T2^4 - 16*T1^11*T2^4 + 
     21*T1^12*T2^4 - 17*T2^5 - 16*T1*T2^5 - 82*T1^2*T2^5 + 58*T1^3*T2^5 + 
     67*T1^4*T2^5 - 650*T1^5*T2^5 + 232*T1^6*T2^5 + 232*T1^7*T2^5 - 
     650*T1^8*T2^5 + 67*T1^9*T2^5 + 58*T1^10*T2^5 - 82*T1^11*T2^5 - 
     16*T1^12*T2^5 - 17*T1^13*T2^5 + 10*T2^6 + 28*T1*T2^6 + 93*T1^2*T2^6 + 
     58*T1^3*T2^6 - 130*T1^4*T2^6 + 232*T1^5*T2^6 + 1300*T1^6*T2^6 - 
     1698*T1^7*T2^6 + 1300*T1^8*T2^6 + 232*T1^9*T2^6 - 130*T1^10*T2^6 + 
     58*T1^11*T2^6 + 93*T1^12*T2^6 + 28*T1^13*T2^6 + 10*T1^14*T2^6 - 4*T2^7 - 
     24*T1*T2^7 - 68*T1^2*T2^7 - 181*T1^3*T2^7 + 67*T1^4*T2^7 + 
     232*T1^5*T2^7 - 1698*T1^6*T2^7 + 616*T1^7*T2^7 + 616*T1^8*T2^7 - 
     1698*T1^9*T2^7 + 232*T1^10*T2^7 + 67*T1^11*T2^7 - 181*T1^12*T2^7 - 
     68*T1^13*T2^7 - 24*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 
     48*T1^2*T2^8 + 118*T1^3*T2^8 + 258*T1^4*T2^8 - 650*T1^5*T2^8 + 
     1300*T1^6*T2^8 + 616*T1^7*T2^8 - 1020*T1^8*T2^8 + 616*T1^9*T2^8 + 
     1300*T1^10*T2^8 - 650*T1^11*T2^8 + 258*T1^12*T2^8 + 118*T1^13*T2^8 + 
     48*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 24*T1^2*T2^9 - 
     68*T1^3*T2^9 - 181*T1^4*T2^9 + 67*T1^5*T2^9 + 232*T1^6*T2^9 - 
     1698*T1^7*T2^9 + 616*T1^8*T2^9 + 616*T1^9*T2^9 - 1698*T1^10*T2^9 + 
     232*T1^11*T2^9 + 67*T1^12*T2^9 - 181*T1^13*T2^9 - 68*T1^14*T2^9 - 
     24*T1^15*T2^9 - 4*T1^16*T2^9 + 10*T1^2*T2^10 + 28*T1^3*T2^10 + 
     93*T1^4*T2^10 + 58*T1^5*T2^10 - 130*T1^6*T2^10 + 232*T1^7*T2^10 + 
     1300*T1^8*T2^10 - 1698*T1^9*T2^10 + 1300*T1^10*T2^10 + 232*T1^11*T2^10 - 
     130*T1^12*T2^10 + 58*T1^13*T2^10 + 93*T1^14*T2^10 + 28*T1^15*T2^10 + 
     10*T1^16*T2^10 - 17*T1^3*T2^11 - 16*T1^4*T2^11 - 82*T1^5*T2^11 + 
     58*T1^6*T2^11 + 67*T1^7*T2^11 - 650*T1^8*T2^11 + 232*T1^9*T2^11 + 
     232*T1^10*T2^11 - 650*T1^11*T2^11 + 67*T1^12*T2^11 + 58*T1^13*T2^11 - 
     82*T1^14*T2^11 - 16*T1^15*T2^11 - 17*T1^16*T2^11 + 21*T1^4*T2^12 - 
     16*T1^5*T2^12 + 93*T1^6*T2^12 - 181*T1^7*T2^12 + 258*T1^8*T2^12 + 
     67*T1^9*T2^12 - 130*T1^10*T2^12 + 67*T1^11*T2^12 + 258*T1^12*T2^12 - 
     181*T1^13*T2^12 + 93*T1^14*T2^12 - 16*T1^15*T2^12 + 21*T1^16*T2^12 - 
     17*T1^5*T2^13 + 28*T1^6*T2^13 - 68*T1^7*T2^13 + 118*T1^8*T2^13 - 
     181*T1^9*T2^13 + 58*T1^10*T2^13 + 58*T1^11*T2^13 - 181*T1^12*T2^13 + 
     118*T1^13*T2^13 - 68*T1^14*T2^13 + 28*T1^15*T2^13 - 17*T1^16*T2^13 + 
     10*T1^6*T2^14 - 24*T1^7*T2^14 + 48*T1^8*T2^14 - 68*T1^9*T2^14 + 
     93*T1^10*T2^14 - 82*T1^11*T2^14 + 93*T1^12*T2^14 - 68*T1^13*T2^14 + 
     48*T1^14*T2^14 - 24*T1^15*T2^14 + 10*T1^16*T2^14 - 4*T1^7*T2^15 + 
     12*T1^8*T2^15 - 24*T1^9*T2^15 + 28*T1^10*T2^15 - 16*T1^11*T2^15 - 
     16*T1^12*T2^15 + 28*T1^13*T2^15 - 24*T1^14*T2^15 + 12*T1^15*T2^15 - 
     4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 10*T1^10*T2^16 - 
     17*T1^11*T2^16 + 21*T1^12*T2^16 - 17*T1^13*T2^16 + 10*T1^14*T2^16 - 
     4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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, (17 - 92*T1 + 255*T1^2 - 429*T1^3 + 507*T1^4 - 429*T1^5 + 255*T1^6 - 
     92*T1^7 + 17*T1^8 - 92*T2 + 408*T1*T2 - 891*T1^2*T2 + 957*T1^3*T2 - 
     430*T1^4*T2 - 430*T1^5*T2 + 957*T1^6*T2 - 891*T1^7*T2 + 408*T1^8*T2 - 
     92*T1^9*T2 + 255*T2^2 - 891*T1*T2^2 + 1397*T1^2*T2^2 - 291*T1^3*T2^2 - 
     1359*T1^4*T2^2 + 2291*T1^5*T2^2 - 1359*T1^6*T2^2 - 291*T1^7*T2^2 + 
     1397*T1^8*T2^2 - 891*T1^9*T2^2 + 255*T1^10*T2^2 - 429*T2^3 + 
     957*T1*T2^3 - 291*T1^2*T2^3 - 3160*T1^3*T2^3 + 4292*T1^4*T2^3 - 
     2258*T1^5*T2^3 - 2258*T1^6*T2^3 + 4292*T1^7*T2^3 - 3160*T1^8*T2^3 - 
     291*T1^9*T2^3 + 957*T1^10*T2^3 - 429*T1^11*T2^3 + 507*T2^4 - 
     430*T1*T2^4 - 1359*T1^2*T2^4 + 4292*T1^3*T2^4 + 1162*T1^4*T2^4 - 
     8612*T1^5*T2^4 + 13354*T1^6*T2^4 - 8612*T1^7*T2^4 + 1162*T1^8*T2^4 + 
     4292*T1^9*T2^4 - 1359*T1^10*T2^4 - 430*T1^11*T2^4 + 507*T1^12*T2^4 - 
     429*T2^5 - 430*T1*T2^5 + 2291*T1^2*T2^5 - 2258*T1^3*T2^5 - 
     8612*T1^4*T2^5 + 11896*T1^5*T2^5 - 6811*T1^6*T2^5 - 6811*T1^7*T2^5 + 
     11896*T1^8*T2^5 - 8612*T1^9*T2^5 - 2258*T1^10*T2^5 + 2291*T1^11*T2^5 - 
     430*T1^12*T2^5 - 429*T1^13*T2^5 + 255*T2^6 + 957*T1*T2^6 - 
     1359*T1^2*T2^6 - 2258*T1^3*T2^6 + 13354*T1^4*T2^6 - 6811*T1^5*T2^6 - 
     3268*T1^6*T2^6 + 11906*T1^7*T2^6 - 3268*T1^8*T2^6 - 6811*T1^9*T2^6 + 
     13354*T1^10*T2^6 - 2258*T1^11*T2^6 - 1359*T1^12*T2^6 + 957*T1^13*T2^6 + 
     255*T1^14*T2^6 - 92*T2^7 - 891*T1*T2^7 - 291*T1^2*T2^7 + 
     4292*T1^3*T2^7 - 8612*T1^4*T2^7 - 6811*T1^5*T2^7 + 11906*T1^6*T2^7 - 
     8346*T1^7*T2^7 - 8346*T1^8*T2^7 + 11906*T1^9*T2^7 - 6811*T1^10*T2^7 - 
     8612*T1^11*T2^7 + 4292*T1^12*T2^7 - 291*T1^13*T2^7 - 891*T1^14*T2^7 - 
     92*T1^15*T2^7 + 17*T2^8 + 408*T1*T2^8 + 1397*T1^2*T2^8 - 
     3160*T1^3*T2^8 + 1162*T1^4*T2^8 + 11896*T1^5*T2^8 - 3268*T1^6*T2^8 - 
     8346*T1^7*T2^8 + 19044*T1^8*T2^8 - 8346*T1^9*T2^8 - 3268*T1^10*T2^8 + 
     11896*T1^11*T2^8 + 1162*T1^12*T2^8 - 3160*T1^13*T2^8 + 1397*T1^14*T2^8 + 
     408*T1^15*T2^8 + 17*T1^16*T2^8 - 92*T1*T2^9 - 891*T1^2*T2^9 - 
     291*T1^3*T2^9 + 4292*T1^4*T2^9 - 8612*T1^5*T2^9 - 6811*T1^6*T2^9 + 
     11906*T1^7*T2^9 - 8346*T1^8*T2^9 - 8346*T1^9*T2^9 + 11906*T1^10*T2^9 - 
     6811*T1^11*T2^9 - 8612*T1^12*T2^9 + 4292*T1^13*T2^9 - 291*T1^14*T2^9 - 
     891*T1^15*T2^9 - 92*T1^16*T2^9 + 255*T1^2*T2^10 + 957*T1^3*T2^10 - 
     1359*T1^4*T2^10 - 2258*T1^5*T2^10 + 13354*T1^6*T2^10 - 6811*T1^7*T2^10 - 
     3268*T1^8*T2^10 + 11906*T1^9*T2^10 - 3268*T1^10*T2^10 - 
     6811*T1^11*T2^10 + 13354*T1^12*T2^10 - 2258*T1^13*T2^10 - 
     1359*T1^14*T2^10 + 957*T1^15*T2^10 + 255*T1^16*T2^10 - 429*T1^3*T2^11 - 
     430*T1^4*T2^11 + 2291*T1^5*T2^11 - 2258*T1^6*T2^11 - 8612*T1^7*T2^11 + 
     11896*T1^8*T2^11 - 6811*T1^9*T2^11 - 6811*T1^10*T2^11 + 
     11896*T1^11*T2^11 - 8612*T1^12*T2^11 - 2258*T1^13*T2^11 + 
     2291*T1^14*T2^11 - 430*T1^15*T2^11 - 429*T1^16*T2^11 + 507*T1^4*T2^12 - 
     430*T1^5*T2^12 - 1359*T1^6*T2^12 + 4292*T1^7*T2^12 + 1162*T1^8*T2^12 - 
     8612*T1^9*T2^12 + 13354*T1^10*T2^12 - 8612*T1^11*T2^12 + 
     1162*T1^12*T2^12 + 4292*T1^13*T2^12 - 1359*T1^14*T2^12 - 
     430*T1^15*T2^12 + 507*T1^16*T2^12 - 429*T1^5*T2^13 + 957*T1^6*T2^13 - 
     291*T1^7*T2^13 - 3160*T1^8*T2^13 + 4292*T1^9*T2^13 - 2258*T1^10*T2^13 - 
     2258*T1^11*T2^13 + 4292*T1^12*T2^13 - 3160*T1^13*T2^13 - 
     291*T1^14*T2^13 + 957*T1^15*T2^13 - 429*T1^16*T2^13 + 255*T1^6*T2^14 - 
     891*T1^7*T2^14 + 1397*T1^8*T2^14 - 291*T1^9*T2^14 - 1359*T1^10*T2^14 + 
     2291*T1^11*T2^14 - 1359*T1^12*T2^14 - 291*T1^13*T2^14 + 
     1397*T1^14*T2^14 - 891*T1^15*T2^14 + 255*T1^16*T2^14 - 92*T1^7*T2^15 + 
     408*T1^8*T2^15 - 891*T1^9*T2^15 + 957*T1^10*T2^15 - 430*T1^11*T2^15 - 
     430*T1^12*T2^15 + 957*T1^13*T2^15 - 891*T1^14*T2^15 + 408*T1^15*T2^15 - 
     92*T1^16*T2^15 + 17*T1^8*T2^16 - 92*T1^9*T2^16 + 255*T1^10*T2^16 - 
     429*T1^11*T2^16 + 507*T1^12*T2^16 - 429*T1^13*T2^16 + 255*T1^14*T2^16 - 
     92*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 619] -> {-((6 - 24*T + 35*T^2 - 24*T^3 + 6*T^4)/T^2), 
   -((315 - 1251*T1 + 1807*T1^2 - 1251*T1^3 + 315*T1^4 - 1251*T2 + 
      3726*T1*T2 - 2218*T1^2*T2 - 2218*T1^3*T2 + 3726*T1^4*T2 - 
      1251*T1^5*T2 + 1807*T2^2 - 2218*T1*T2^2 - 7586*T1^2*T2^2 + 
      14276*T1^3*T2^2 - 7586*T1^4*T2^2 - 2218*T1^5*T2^2 + 1807*T1^6*T2^2 - 
      1251*T2^3 - 2218*T1*T2^3 + 14276*T1^2*T2^3 - 9164*T1^3*T2^3 - 
      9164*T1^4*T2^3 + 14276*T1^5*T2^3 - 2218*T1^6*T2^3 - 1251*T1^7*T2^3 + 
      315*T2^4 + 3726*T1*T2^4 - 7586*T1^2*T2^4 - 9164*T1^3*T2^4 + 
      21384*T1^4*T2^4 - 9164*T1^5*T2^4 - 7586*T1^6*T2^4 + 3726*T1^7*T2^4 + 
      315*T1^8*T2^4 - 1251*T1*T2^5 - 2218*T1^2*T2^5 + 14276*T1^3*T2^5 - 
      9164*T1^4*T2^5 - 9164*T1^5*T2^5 + 14276*T1^6*T2^5 - 2218*T1^7*T2^5 - 
      1251*T1^8*T2^5 + 1807*T1^2*T2^6 - 2218*T1^3*T2^6 - 7586*T1^4*T2^6 + 
      14276*T1^5*T2^6 - 7586*T1^6*T2^6 - 2218*T1^7*T2^6 + 1807*T1^8*T2^6 - 
      1251*T1^3*T2^7 + 3726*T1^4*T2^7 - 2218*T1^5*T2^7 - 2218*T1^6*T2^7 + 
      3726*T1^7*T2^7 - 1251*T1^8*T2^7 + 315*T1^4*T2^8 - 1251*T1^5*T2^8 + 
      1807*T1^6*T2^8 - 1251*T1^7*T2^8 + 315*T1^8*T2^8)/(T1^4*T2^4))}, 
 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, (17 - 100*T1 + 270*T1^2 - 444*T1^3 + 523*T1^4 - 444*T1^5 + 
     270*T1^6 - 100*T1^7 + 17*T1^8 - 100*T2 + 490*T1*T2 - 1007*T1^2*T2 + 
     1034*T1^3*T2 - 469*T1^4*T2 - 469*T1^5*T2 + 1034*T1^6*T2 - 1007*T1^7*T2 + 
     490*T1^8*T2 - 100*T1^9*T2 + 270*T2^2 - 1007*T1*T2^2 + 1102*T1^2*T2^2 + 
     779*T1^3*T2^2 - 3001*T1^4*T2^2 + 4288*T1^5*T2^2 - 3001*T1^6*T2^2 + 
     779*T1^7*T2^2 + 1102*T1^8*T2^2 - 1007*T1^9*T2^2 + 270*T1^10*T2^2 - 
     444*T2^3 + 1034*T1*T2^3 + 779*T1^2*T2^3 - 5146*T1^3*T2^3 + 
     5913*T1^4*T2^3 - 3135*T1^5*T2^3 - 3135*T1^6*T2^3 + 5913*T1^7*T2^3 - 
     5146*T1^8*T2^3 + 779*T1^9*T2^3 + 1034*T1^10*T2^3 - 444*T1^11*T2^3 + 
     523*T2^4 - 469*T1*T2^4 - 3001*T1^2*T2^4 + 5913*T1^3*T2^4 + 
     832*T1^4*T2^4 - 8507*T1^5*T2^4 + 14378*T1^6*T2^4 - 8507*T1^7*T2^4 + 
     832*T1^8*T2^4 + 5913*T1^9*T2^4 - 3001*T1^10*T2^4 - 469*T1^11*T2^4 + 
     523*T1^12*T2^4 - 444*T2^5 - 469*T1*T2^5 + 4288*T1^2*T2^5 - 
     3135*T1^3*T2^5 - 8507*T1^4*T2^5 + 10900*T1^5*T2^5 - 7361*T1^6*T2^5 - 
     7361*T1^7*T2^5 + 10900*T1^8*T2^5 - 8507*T1^9*T2^5 - 3135*T1^10*T2^5 + 
     4288*T1^11*T2^5 - 469*T1^12*T2^5 - 444*T1^13*T2^5 + 270*T2^6 + 
     1034*T1*T2^6 - 3001*T1^2*T2^6 - 3135*T1^3*T2^6 + 14378*T1^4*T2^6 - 
     7361*T1^5*T2^6 - 130*T1^6*T2^6 + 10420*T1^7*T2^6 - 130*T1^8*T2^6 - 
     7361*T1^9*T2^6 + 14378*T1^10*T2^6 - 3135*T1^11*T2^6 - 3001*T1^12*T2^6 + 
     1034*T1^13*T2^6 + 270*T1^14*T2^6 - 100*T2^7 - 1007*T1*T2^7 + 
     779*T1^2*T2^7 + 5913*T1^3*T2^7 - 8507*T1^4*T2^7 - 7361*T1^5*T2^7 + 
     10420*T1^6*T2^7 - 9422*T1^7*T2^7 - 9422*T1^8*T2^7 + 10420*T1^9*T2^7 - 
     7361*T1^10*T2^7 - 8507*T1^11*T2^7 + 5913*T1^12*T2^7 + 779*T1^13*T2^7 - 
     1007*T1^14*T2^7 - 100*T1^15*T2^7 + 17*T2^8 + 490*T1*T2^8 + 
     1102*T1^2*T2^8 - 5146*T1^3*T2^8 + 832*T1^4*T2^8 + 10900*T1^5*T2^8 - 
     130*T1^6*T2^8 - 9422*T1^7*T2^8 + 22824*T1^8*T2^8 - 9422*T1^9*T2^8 - 
     130*T1^10*T2^8 + 10900*T1^11*T2^8 + 832*T1^12*T2^8 - 5146*T1^13*T2^8 + 
     1102*T1^14*T2^8 + 490*T1^15*T2^8 + 17*T1^16*T2^8 - 100*T1*T2^9 - 
     1007*T1^2*T2^9 + 779*T1^3*T2^9 + 5913*T1^4*T2^9 - 8507*T1^5*T2^9 - 
     7361*T1^6*T2^9 + 10420*T1^7*T2^9 - 9422*T1^8*T2^9 - 9422*T1^9*T2^9 + 
     10420*T1^10*T2^9 - 7361*T1^11*T2^9 - 8507*T1^12*T2^9 + 5913*T1^13*T2^9 + 
     779*T1^14*T2^9 - 1007*T1^15*T2^9 - 100*T1^16*T2^9 + 270*T1^2*T2^10 + 
     1034*T1^3*T2^10 - 3001*T1^4*T2^10 - 3135*T1^5*T2^10 + 14378*T1^6*T2^10 - 
     7361*T1^7*T2^10 - 130*T1^8*T2^10 + 10420*T1^9*T2^10 - 130*T1^10*T2^10 - 
     7361*T1^11*T2^10 + 14378*T1^12*T2^10 - 3135*T1^13*T2^10 - 
     3001*T1^14*T2^10 + 1034*T1^15*T2^10 + 270*T1^16*T2^10 - 444*T1^3*T2^11 - 
     469*T1^4*T2^11 + 4288*T1^5*T2^11 - 3135*T1^6*T2^11 - 8507*T1^7*T2^11 + 
     10900*T1^8*T2^11 - 7361*T1^9*T2^11 - 7361*T1^10*T2^11 + 
     10900*T1^11*T2^11 - 8507*T1^12*T2^11 - 3135*T1^13*T2^11 + 
     4288*T1^14*T2^11 - 469*T1^15*T2^11 - 444*T1^16*T2^11 + 523*T1^4*T2^12 - 
     469*T1^5*T2^12 - 3001*T1^6*T2^12 + 5913*T1^7*T2^12 + 832*T1^8*T2^12 - 
     8507*T1^9*T2^12 + 14378*T1^10*T2^12 - 8507*T1^11*T2^12 + 
     832*T1^12*T2^12 + 5913*T1^13*T2^12 - 3001*T1^14*T2^12 - 
     469*T1^15*T2^12 + 523*T1^16*T2^12 - 444*T1^5*T2^13 + 1034*T1^6*T2^13 + 
     779*T1^7*T2^13 - 5146*T1^8*T2^13 + 5913*T1^9*T2^13 - 3135*T1^10*T2^13 - 
     3135*T1^11*T2^13 + 5913*T1^12*T2^13 - 5146*T1^13*T2^13 + 
     779*T1^14*T2^13 + 1034*T1^15*T2^13 - 444*T1^16*T2^13 + 270*T1^6*T2^14 - 
     1007*T1^7*T2^14 + 1102*T1^8*T2^14 + 779*T1^9*T2^14 - 3001*T1^10*T2^14 + 
     4288*T1^11*T2^14 - 3001*T1^12*T2^14 + 779*T1^13*T2^14 + 
     1102*T1^14*T2^14 - 1007*T1^15*T2^14 + 270*T1^16*T2^14 - 100*T1^7*T2^15 + 
     490*T1^8*T2^15 - 1007*T1^9*T2^15 + 1034*T1^10*T2^15 - 469*T1^11*T2^15 - 
     469*T1^12*T2^15 + 1034*T1^13*T2^15 - 1007*T1^14*T2^15 + 
     490*T1^15*T2^15 - 100*T1^16*T2^15 + 17*T1^8*T2^16 - 100*T1^9*T2^16 + 
     270*T1^10*T2^16 - 444*T1^11*T2^16 + 523*T1^12*T2^16 - 444*T1^13*T2^16 + 
     270*T1^14*T2^16 - 100*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8)}, 
 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), (1 - 8*T1 + 22*T1^2 - 36*T1^3 + 41*T1^4 - 36*T1^5 + 22*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 111*T1^2*T2 + 110*T1^3*T2 - 
     39*T1^4*T2 - 39*T1^5*T2 + 110*T1^6*T2 - 111*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 22*T2^2 - 111*T1*T2^2 - 10*T1^2*T2^2 + 440*T1^3*T2^2 - 
     905*T1^4*T2^2 + 1022*T1^5*T2^2 - 905*T1^6*T2^2 + 440*T1^7*T2^2 - 
     10*T1^8*T2^2 - 111*T1^9*T2^2 + 22*T1^10*T2^2 - 36*T2^3 + 110*T1*T2^3 + 
     440*T1^2*T2^3 - 1204*T1^3*T2^3 + 1295*T1^4*T2^3 - 404*T1^5*T2^3 - 
     404*T1^6*T2^3 + 1295*T1^7*T2^3 - 1204*T1^8*T2^3 + 440*T1^9*T2^3 + 
     110*T1^10*T2^3 - 36*T1^11*T2^3 + 41*T2^4 - 39*T1*T2^4 - 905*T1^2*T2^4 + 
     1295*T1^3*T2^4 - 242*T1^4*T2^4 - 1551*T1^5*T2^4 + 1800*T1^6*T2^4 - 
     1551*T1^7*T2^4 - 242*T1^8*T2^4 + 1295*T1^9*T2^4 - 905*T1^10*T2^4 - 
     39*T1^11*T2^4 + 41*T1^12*T2^4 - 36*T2^5 - 39*T1*T2^5 + 1022*T1^2*T2^5 - 
     404*T1^3*T2^5 - 1551*T1^4*T2^5 + 2848*T1^5*T2^5 - 954*T1^6*T2^5 - 
     954*T1^7*T2^5 + 2848*T1^8*T2^5 - 1551*T1^9*T2^5 - 404*T1^10*T2^5 + 
     1022*T1^11*T2^5 - 39*T1^12*T2^5 - 36*T1^13*T2^5 + 22*T2^6 + 
     110*T1*T2^6 - 905*T1^2*T2^6 - 404*T1^3*T2^6 + 1800*T1^4*T2^6 - 
     954*T1^5*T2^6 - 3122*T1^6*T2^6 + 4508*T1^7*T2^6 - 3122*T1^8*T2^6 - 
     954*T1^9*T2^6 + 1800*T1^10*T2^6 - 404*T1^11*T2^6 - 905*T1^12*T2^6 + 
     110*T1^13*T2^6 + 22*T1^14*T2^6 - 8*T2^7 - 111*T1*T2^7 + 440*T1^2*T2^7 + 
     1295*T1^3*T2^7 - 1551*T1^4*T2^7 - 954*T1^5*T2^7 + 4508*T1^6*T2^7 - 
     2264*T1^7*T2^7 - 2264*T1^8*T2^7 + 4508*T1^9*T2^7 - 954*T1^10*T2^7 - 
     1551*T1^11*T2^7 + 1295*T1^12*T2^7 + 440*T1^13*T2^7 - 111*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 - 10*T1^2*T2^8 - 1204*T1^3*T2^8 - 
     242*T1^4*T2^8 + 2848*T1^5*T2^8 - 3122*T1^6*T2^8 - 2264*T1^7*T2^8 + 
     5088*T1^8*T2^8 - 2264*T1^9*T2^8 - 3122*T1^10*T2^8 + 2848*T1^11*T2^8 - 
     242*T1^12*T2^8 - 1204*T1^13*T2^8 - 10*T1^14*T2^8 + 56*T1^15*T2^8 + 
     T1^16*T2^8 - 8*T1*T2^9 - 111*T1^2*T2^9 + 440*T1^3*T2^9 + 
     1295*T1^4*T2^9 - 1551*T1^5*T2^9 - 954*T1^6*T2^9 + 4508*T1^7*T2^9 - 
     2264*T1^8*T2^9 - 2264*T1^9*T2^9 + 4508*T1^10*T2^9 - 954*T1^11*T2^9 - 
     1551*T1^12*T2^9 + 1295*T1^13*T2^9 + 440*T1^14*T2^9 - 111*T1^15*T2^9 - 
     8*T1^16*T2^9 + 22*T1^2*T2^10 + 110*T1^3*T2^10 - 905*T1^4*T2^10 - 
     404*T1^5*T2^10 + 1800*T1^6*T2^10 - 954*T1^7*T2^10 - 3122*T1^8*T2^10 + 
     4508*T1^9*T2^10 - 3122*T1^10*T2^10 - 954*T1^11*T2^10 + 
     1800*T1^12*T2^10 - 404*T1^13*T2^10 - 905*T1^14*T2^10 + 110*T1^15*T2^10 + 
     22*T1^16*T2^10 - 36*T1^3*T2^11 - 39*T1^4*T2^11 + 1022*T1^5*T2^11 - 
     404*T1^6*T2^11 - 1551*T1^7*T2^11 + 2848*T1^8*T2^11 - 954*T1^9*T2^11 - 
     954*T1^10*T2^11 + 2848*T1^11*T2^11 - 1551*T1^12*T2^11 - 
     404*T1^13*T2^11 + 1022*T1^14*T2^11 - 39*T1^15*T2^11 - 36*T1^16*T2^11 + 
     41*T1^4*T2^12 - 39*T1^5*T2^12 - 905*T1^6*T2^12 + 1295*T1^7*T2^12 - 
     242*T1^8*T2^12 - 1551*T1^9*T2^12 + 1800*T1^10*T2^12 - 1551*T1^11*T2^12 - 
     242*T1^12*T2^12 + 1295*T1^13*T2^12 - 905*T1^14*T2^12 - 39*T1^15*T2^12 + 
     41*T1^16*T2^12 - 36*T1^5*T2^13 + 110*T1^6*T2^13 + 440*T1^7*T2^13 - 
     1204*T1^8*T2^13 + 1295*T1^9*T2^13 - 404*T1^10*T2^13 - 404*T1^11*T2^13 + 
     1295*T1^12*T2^13 - 1204*T1^13*T2^13 + 440*T1^14*T2^13 + 
     110*T1^15*T2^13 - 36*T1^16*T2^13 + 22*T1^6*T2^14 - 111*T1^7*T2^14 - 
     10*T1^8*T2^14 + 440*T1^9*T2^14 - 905*T1^10*T2^14 + 1022*T1^11*T2^14 - 
     905*T1^12*T2^14 + 440*T1^13*T2^14 - 10*T1^14*T2^14 - 111*T1^15*T2^14 + 
     22*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 111*T1^9*T2^15 + 
     110*T1^10*T2^15 - 39*T1^11*T2^15 - 39*T1^12*T2^15 + 110*T1^13*T2^15 - 
     111*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
     8*T1^9*T2^16 + 22*T1^10*T2^16 - 36*T1^11*T2^16 + 41*T1^12*T2^16 - 
     36*T1^13*T2^16 + 22*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 622] -> 
  {-((2 - 17*T + 47*T^2 - 65*T^3 + 47*T^4 - 17*T^5 + 2*T^6)/T^3), 
   (1 - 8*T1 + 22*T1^2 - 31*T1^3 + 22*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
     56*T1*T2 - 108*T1^2*T2 + 68*T1^3*T2 + 68*T1^4*T2 - 108*T1^5*T2 + 
     56*T1^6*T2 - 8*T1^7*T2 + 22*T2^2 - 108*T1*T2^2 - 26*T1^2*T2^2 + 
     544*T1^3*T2^2 - 974*T1^4*T2^2 + 544*T1^5*T2^2 - 26*T1^6*T2^2 - 
     108*T1^7*T2^2 + 22*T1^8*T2^2 - 31*T2^3 + 68*T1*T2^3 + 544*T1^2*T2^3 - 
     1376*T1^3*T2^3 + 1024*T1^4*T2^3 + 1024*T1^5*T2^3 - 1376*T1^6*T2^3 + 
     544*T1^7*T2^3 + 68*T1^8*T2^3 - 31*T1^9*T2^3 + 22*T2^4 + 68*T1*T2^4 - 
     974*T1^2*T2^4 + 1024*T1^3*T2^4 + 848*T1^4*T2^4 - 3230*T1^5*T2^4 + 
     848*T1^6*T2^4 + 1024*T1^7*T2^4 - 974*T1^8*T2^4 + 68*T1^9*T2^4 + 
     22*T1^10*T2^4 - 8*T2^5 - 108*T1*T2^5 + 544*T1^2*T2^5 + 1024*T1^3*T2^5 - 
     3230*T1^4*T2^5 + 2920*T1^5*T2^5 + 2920*T1^6*T2^5 - 3230*T1^7*T2^5 + 
     1024*T1^8*T2^5 + 544*T1^9*T2^5 - 108*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
     56*T1*T2^6 - 26*T1^2*T2^6 - 1376*T1^3*T2^6 + 848*T1^4*T2^6 + 
     2920*T1^5*T2^6 - 7632*T1^6*T2^6 + 2920*T1^7*T2^6 + 848*T1^8*T2^6 - 
     1376*T1^9*T2^6 - 26*T1^10*T2^6 + 56*T1^11*T2^6 + T1^12*T2^6 - 
     8*T1*T2^7 - 108*T1^2*T2^7 + 544*T1^3*T2^7 + 1024*T1^4*T2^7 - 
     3230*T1^5*T2^7 + 2920*T1^6*T2^7 + 2920*T1^7*T2^7 - 3230*T1^8*T2^7 + 
     1024*T1^9*T2^7 + 544*T1^10*T2^7 - 108*T1^11*T2^7 - 8*T1^12*T2^7 + 
     22*T1^2*T2^8 + 68*T1^3*T2^8 - 974*T1^4*T2^8 + 1024*T1^5*T2^8 + 
     848*T1^6*T2^8 - 3230*T1^7*T2^8 + 848*T1^8*T2^8 + 1024*T1^9*T2^8 - 
     974*T1^10*T2^8 + 68*T1^11*T2^8 + 22*T1^12*T2^8 - 31*T1^3*T2^9 + 
     68*T1^4*T2^9 + 544*T1^5*T2^9 - 1376*T1^6*T2^9 + 1024*T1^7*T2^9 + 
     1024*T1^8*T2^9 - 1376*T1^9*T2^9 + 544*T1^10*T2^9 + 68*T1^11*T2^9 - 
     31*T1^12*T2^9 + 22*T1^4*T2^10 - 108*T1^5*T2^10 - 26*T1^6*T2^10 + 
     544*T1^7*T2^10 - 974*T1^8*T2^10 + 544*T1^9*T2^10 - 26*T1^10*T2^10 - 
     108*T1^11*T2^10 + 22*T1^12*T2^10 - 8*T1^5*T2^11 + 56*T1^6*T2^11 - 
     108*T1^7*T2^11 + 68*T1^8*T2^11 + 68*T1^9*T2^11 - 108*T1^10*T2^11 + 
     56*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
     22*T1^8*T2^12 - 31*T1^9*T2^12 + 22*T1^10*T2^12 - 8*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 623] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)*(2 - 3*T + 2*T^2))/T^3), 
   -((144 - 708*T1 + 1504*T1^2 - 1920*T1^3 + 1504*T1^4 - 708*T1^5 + 
      144*T1^6 - 708*T2 + 2776*T1*T2 - 3924*T1^2*T2 + 2050*T1^3*T2 + 
      2050*T1^4*T2 - 3924*T1^5*T2 + 2776*T1^6*T2 - 708*T1^7*T2 + 1504*T2^2 - 
      3924*T1*T2^2 + 122*T1^2*T2^2 + 9023*T1^3*T2^2 - 15162*T1^4*T2^2 + 
      9023*T1^5*T2^2 + 122*T1^6*T2^2 - 3924*T1^7*T2^2 + 1504*T1^8*T2^2 - 
      1920*T2^3 + 2050*T1*T2^3 + 9023*T1^2*T2^3 - 17870*T1^3*T2^3 + 
      11064*T1^4*T2^3 + 11064*T1^5*T2^3 - 17870*T1^6*T2^3 + 9023*T1^7*T2^3 + 
      2050*T1^8*T2^3 - 1920*T1^9*T2^3 + 1504*T2^4 + 2050*T1*T2^4 - 
      15162*T1^2*T2^4 + 11064*T1^3*T2^4 + 11115*T1^4*T2^4 - 30217*T1^5*T2^4 + 
      11115*T1^6*T2^4 + 11064*T1^7*T2^4 - 15162*T1^8*T2^4 + 2050*T1^9*T2^4 + 
      1504*T1^10*T2^4 - 708*T2^5 - 3924*T1*T2^5 + 9023*T1^2*T2^5 + 
      11064*T1^3*T2^5 - 30217*T1^4*T2^5 + 21356*T1^5*T2^5 + 21356*T1^6*T2^5 - 
      30217*T1^7*T2^5 + 11064*T1^8*T2^5 + 9023*T1^9*T2^5 - 3924*T1^10*T2^5 - 
      708*T1^11*T2^5 + 144*T2^6 + 2776*T1*T2^6 + 122*T1^2*T2^6 - 
      17870*T1^3*T2^6 + 11115*T1^4*T2^6 + 21356*T1^5*T2^6 - 50172*T1^6*T2^6 + 
      21356*T1^7*T2^6 + 11115*T1^8*T2^6 - 17870*T1^9*T2^6 + 122*T1^10*T2^6 + 
      2776*T1^11*T2^6 + 144*T1^12*T2^6 - 708*T1*T2^7 - 3924*T1^2*T2^7 + 
      9023*T1^3*T2^7 + 11064*T1^4*T2^7 - 30217*T1^5*T2^7 + 21356*T1^6*T2^7 + 
      21356*T1^7*T2^7 - 30217*T1^8*T2^7 + 11064*T1^9*T2^7 + 9023*T1^10*T2^7 - 
      3924*T1^11*T2^7 - 708*T1^12*T2^7 + 1504*T1^2*T2^8 + 2050*T1^3*T2^8 - 
      15162*T1^4*T2^8 + 11064*T1^5*T2^8 + 11115*T1^6*T2^8 - 30217*T1^7*T2^8 + 
      11115*T1^8*T2^8 + 11064*T1^9*T2^8 - 15162*T1^10*T2^8 + 
      2050*T1^11*T2^8 + 1504*T1^12*T2^8 - 1920*T1^3*T2^9 + 2050*T1^4*T2^9 + 
      9023*T1^5*T2^9 - 17870*T1^6*T2^9 + 11064*T1^7*T2^9 + 11064*T1^8*T2^9 - 
      17870*T1^9*T2^9 + 9023*T1^10*T2^9 + 2050*T1^11*T2^9 - 1920*T1^12*T2^9 + 
      1504*T1^4*T2^10 - 3924*T1^5*T2^10 + 122*T1^6*T2^10 + 9023*T1^7*T2^10 - 
      15162*T1^8*T2^10 + 9023*T1^9*T2^10 + 122*T1^10*T2^10 - 
      3924*T1^11*T2^10 + 1504*T1^12*T2^10 - 708*T1^5*T2^11 + 
      2776*T1^6*T2^11 - 3924*T1^7*T2^11 + 2050*T1^8*T2^11 + 2050*T1^9*T2^11 - 
      3924*T1^10*T2^11 + 2776*T1^11*T2^11 - 708*T1^12*T2^11 + 
      144*T1^6*T2^12 - 708*T1^7*T2^12 + 1504*T1^8*T2^12 - 1920*T1^9*T2^12 + 
      1504*T1^10*T2^12 - 708*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 624] -> 
  {(4 - 18*T + 41*T^2 - 53*T^3 + 41*T^4 - 18*T^5 + 4*T^6)/T^3, 
   -((80 - 352*T1 + 796*T1^2 - 1024*T1^3 + 796*T1^4 - 352*T1^5 + 80*T1^6 - 
      352*T2 + 1198*T1*T2 - 1954*T1^2*T2 + 1004*T1^3*T2 + 1004*T1^4*T2 - 
      1954*T1^5*T2 + 1198*T1^6*T2 - 352*T1^7*T2 + 796*T2^2 - 1954*T1*T2^2 + 
      1865*T1^2*T2^2 + 1891*T1^3*T2^2 - 4279*T1^4*T2^2 + 1891*T1^5*T2^2 + 
      1865*T1^6*T2^2 - 1954*T1^7*T2^2 + 796*T1^8*T2^2 - 1024*T2^3 + 
      1004*T1*T2^3 + 1891*T1^2*T2^3 - 7890*T1^3*T2^3 + 4728*T1^4*T2^3 + 
      4728*T1^5*T2^3 - 7890*T1^6*T2^3 + 1891*T1^7*T2^3 + 1004*T1^8*T2^3 - 
      1024*T1^9*T2^3 + 796*T2^4 + 1004*T1*T2^4 - 4279*T1^2*T2^4 + 
      4728*T1^3*T2^4 + 10545*T1^4*T2^4 - 20459*T1^5*T2^4 + 10545*T1^6*T2^4 + 
      4728*T1^7*T2^4 - 4279*T1^8*T2^4 + 1004*T1^9*T2^4 + 796*T1^10*T2^4 - 
      352*T2^5 - 1954*T1*T2^5 + 1891*T1^2*T2^5 + 4728*T1^3*T2^5 - 
      20459*T1^4*T2^5 + 12350*T1^5*T2^5 + 12350*T1^6*T2^5 - 20459*T1^7*T2^5 + 
      4728*T1^8*T2^5 + 1891*T1^9*T2^5 - 1954*T1^10*T2^5 - 352*T1^11*T2^5 + 
      80*T2^6 + 1198*T1*T2^6 + 1865*T1^2*T2^6 - 7890*T1^3*T2^6 + 
      10545*T1^4*T2^6 + 12350*T1^5*T2^6 - 27672*T1^6*T2^6 + 12350*T1^7*T2^6 + 
      10545*T1^8*T2^6 - 7890*T1^9*T2^6 + 1865*T1^10*T2^6 + 1198*T1^11*T2^6 + 
      80*T1^12*T2^6 - 352*T1*T2^7 - 1954*T1^2*T2^7 + 1891*T1^3*T2^7 + 
      4728*T1^4*T2^7 - 20459*T1^5*T2^7 + 12350*T1^6*T2^7 + 12350*T1^7*T2^7 - 
      20459*T1^8*T2^7 + 4728*T1^9*T2^7 + 1891*T1^10*T2^7 - 1954*T1^11*T2^7 - 
      352*T1^12*T2^7 + 796*T1^2*T2^8 + 1004*T1^3*T2^8 - 4279*T1^4*T2^8 + 
      4728*T1^5*T2^8 + 10545*T1^6*T2^8 - 20459*T1^7*T2^8 + 10545*T1^8*T2^8 + 
      4728*T1^9*T2^8 - 4279*T1^10*T2^8 + 1004*T1^11*T2^8 + 796*T1^12*T2^8 - 
      1024*T1^3*T2^9 + 1004*T1^4*T2^9 + 1891*T1^5*T2^9 - 7890*T1^6*T2^9 + 
      4728*T1^7*T2^9 + 4728*T1^8*T2^9 - 7890*T1^9*T2^9 + 1891*T1^10*T2^9 + 
      1004*T1^11*T2^9 - 1024*T1^12*T2^9 + 796*T1^4*T2^10 - 1954*T1^5*T2^10 + 
      1865*T1^6*T2^10 + 1891*T1^7*T2^10 - 4279*T1^8*T2^10 + 1891*T1^9*T2^10 + 
      1865*T1^10*T2^10 - 1954*T1^11*T2^10 + 796*T1^12*T2^10 - 
      352*T1^5*T2^11 + 1198*T1^6*T2^11 - 1954*T1^7*T2^11 + 1004*T1^8*T2^11 + 
      1004*T1^9*T2^11 - 1954*T1^10*T2^11 + 1198*T1^11*T2^11 - 
      352*T1^12*T2^11 + 80*T1^6*T2^12 - 352*T1^7*T2^12 + 796*T1^8*T2^12 - 
      1024*T1^9*T2^12 + 796*T1^10*T2^12 - 352*T1^11*T2^12 + 80*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, Alternating, 625] -> 
  {-((3 - 19*T + 49*T^2 - 67*T^3 + 49*T^4 - 19*T^5 + 3*T^6)/T^3), 
   (3 - 20*T1 + 56*T1^2 - 81*T1^3 + 56*T1^4 - 20*T1^5 + 3*T1^6 - 20*T2 + 
     110*T1*T2 - 228*T1^2*T2 + 156*T1^3*T2 + 156*T1^4*T2 - 228*T1^5*T2 + 
     110*T1^6*T2 - 20*T1^7*T2 + 56*T2^2 - 228*T1*T2^2 + 266*T1^2*T2^2 + 
     250*T1^3*T2^2 - 888*T1^4*T2^2 + 250*T1^5*T2^2 + 266*T1^6*T2^2 - 
     228*T1^7*T2^2 + 56*T1^8*T2^2 - 81*T2^3 + 156*T1*T2^3 + 250*T1^2*T2^3 - 
     1160*T1^3*T2^3 + 1190*T1^4*T2^3 + 1190*T1^5*T2^3 - 1160*T1^6*T2^3 + 
     250*T1^7*T2^3 + 156*T1^8*T2^3 - 81*T1^9*T2^3 + 56*T2^4 + 156*T1*T2^4 - 
     888*T1^2*T2^4 + 1190*T1^3*T2^4 + 364*T1^4*T2^4 - 3506*T1^5*T2^4 + 
     364*T1^6*T2^4 + 1190*T1^7*T2^4 - 888*T1^8*T2^4 + 156*T1^9*T2^4 + 
     56*T1^10*T2^4 - 20*T2^5 - 228*T1*T2^5 + 250*T1^2*T2^5 + 1190*T1^3*T2^5 - 
     3506*T1^4*T2^5 + 3822*T1^5*T2^5 + 3822*T1^6*T2^5 - 3506*T1^7*T2^5 + 
     1190*T1^8*T2^5 + 250*T1^9*T2^5 - 228*T1^10*T2^5 - 20*T1^11*T2^5 + 
     3*T2^6 + 110*T1*T2^6 + 266*T1^2*T2^6 - 1160*T1^3*T2^6 + 364*T1^4*T2^6 + 
     3822*T1^5*T2^6 - 10428*T1^6*T2^6 + 3822*T1^7*T2^6 + 364*T1^8*T2^6 - 
     1160*T1^9*T2^6 + 266*T1^10*T2^6 + 110*T1^11*T2^6 + 3*T1^12*T2^6 - 
     20*T1*T2^7 - 228*T1^2*T2^7 + 250*T1^3*T2^7 + 1190*T1^4*T2^7 - 
     3506*T1^5*T2^7 + 3822*T1^6*T2^7 + 3822*T1^7*T2^7 - 3506*T1^8*T2^7 + 
     1190*T1^9*T2^7 + 250*T1^10*T2^7 - 228*T1^11*T2^7 - 20*T1^12*T2^7 + 
     56*T1^2*T2^8 + 156*T1^3*T2^8 - 888*T1^4*T2^8 + 1190*T1^5*T2^8 + 
     364*T1^6*T2^8 - 3506*T1^7*T2^8 + 364*T1^8*T2^8 + 1190*T1^9*T2^8 - 
     888*T1^10*T2^8 + 156*T1^11*T2^8 + 56*T1^12*T2^8 - 81*T1^3*T2^9 + 
     156*T1^4*T2^9 + 250*T1^5*T2^9 - 1160*T1^6*T2^9 + 1190*T1^7*T2^9 + 
     1190*T1^8*T2^9 - 1160*T1^9*T2^9 + 250*T1^10*T2^9 + 156*T1^11*T2^9 - 
     81*T1^12*T2^9 + 56*T1^4*T2^10 - 228*T1^5*T2^10 + 266*T1^6*T2^10 + 
     250*T1^7*T2^10 - 888*T1^8*T2^10 + 250*T1^9*T2^10 + 266*T1^10*T2^10 - 
     228*T1^11*T2^10 + 56*T1^12*T2^10 - 20*T1^5*T2^11 + 110*T1^6*T2^11 - 
     228*T1^7*T2^11 + 156*T1^8*T2^11 + 156*T1^9*T2^11 - 228*T1^10*T2^11 + 
     110*T1^11*T2^11 - 20*T1^12*T2^11 + 3*T1^6*T2^12 - 20*T1^7*T2^12 + 
     56*T1^8*T2^12 - 81*T1^9*T2^12 + 56*T1^10*T2^12 - 20*T1^11*T2^12 + 
     3*T1^12*T2^12)/(T1^6*T2^6)}, 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), -((9 - 52*T1 + 143*T1^2 - 252*T1^3 + 299*T1^4 - 252*T1^5 + 
      143*T1^6 - 52*T1^7 + 9*T1^8 - 52*T2 + 250*T1*T2 - 532*T1^2*T2 + 
      639*T1^3*T2 - 277*T1^4*T2 - 277*T1^5*T2 + 639*T1^6*T2 - 532*T1^7*T2 + 
      250*T1^8*T2 - 52*T1^9*T2 + 143*T2^2 - 532*T1*T2^2 + 694*T1^2*T2^2 - 
      49*T1^3*T2^2 - 1456*T1^4*T2^2 + 2090*T1^5*T2^2 - 1456*T1^6*T2^2 - 
      49*T1^7*T2^2 + 694*T1^8*T2^2 - 532*T1^9*T2^2 + 143*T1^10*T2^2 - 
      252*T2^3 + 639*T1*T2^3 - 49*T1^2*T2^3 - 1662*T1^3*T2^3 + 
      3326*T1^4*T2^3 - 1436*T1^5*T2^3 - 1436*T1^6*T2^3 + 3326*T1^7*T2^3 - 
      1662*T1^8*T2^3 - 49*T1^9*T2^3 + 639*T1^10*T2^3 - 252*T1^11*T2^3 + 
      299*T2^4 - 277*T1*T2^4 - 1456*T1^2*T2^4 + 3326*T1^3*T2^4 - 
      3113*T1^4*T2^4 - 2396*T1^5*T2^4 + 4207*T1^6*T2^4 - 2396*T1^7*T2^4 - 
      3113*T1^8*T2^4 + 3326*T1^9*T2^4 - 1456*T1^10*T2^4 - 277*T1^11*T2^4 + 
      299*T1^12*T2^4 - 252*T2^5 - 277*T1*T2^5 + 2090*T1^2*T2^5 - 
      1436*T1^3*T2^5 - 2396*T1^4*T2^5 + 8882*T1^5*T2^5 - 3489*T1^6*T2^5 - 
      3489*T1^7*T2^5 + 8882*T1^8*T2^5 - 2396*T1^9*T2^5 - 1436*T1^10*T2^5 + 
      2090*T1^11*T2^5 - 277*T1^12*T2^5 - 252*T1^13*T2^5 + 143*T2^6 + 
      639*T1*T2^6 - 1456*T1^2*T2^6 - 1436*T1^3*T2^6 + 4207*T1^4*T2^6 - 
      3489*T1^5*T2^6 - 11765*T1^6*T2^6 + 16053*T1^7*T2^6 - 11765*T1^8*T2^6 - 
      3489*T1^9*T2^6 + 4207*T1^10*T2^6 - 1436*T1^11*T2^6 - 1456*T1^12*T2^6 + 
      639*T1^13*T2^6 + 143*T1^14*T2^6 - 52*T2^7 - 532*T1*T2^7 - 
      49*T1^2*T2^7 + 3326*T1^3*T2^7 - 2396*T1^4*T2^7 - 3489*T1^5*T2^7 + 
      16053*T1^6*T2^7 - 6004*T1^7*T2^7 - 6004*T1^8*T2^7 + 16053*T1^9*T2^7 - 
      3489*T1^10*T2^7 - 2396*T1^11*T2^7 + 3326*T1^12*T2^7 - 49*T1^13*T2^7 - 
      532*T1^14*T2^7 - 52*T1^15*T2^7 + 9*T2^8 + 250*T1*T2^8 + 694*T1^2*T2^8 - 
      1662*T1^3*T2^8 - 3113*T1^4*T2^8 + 8882*T1^5*T2^8 - 11765*T1^6*T2^8 - 
      6004*T1^7*T2^8 + 10332*T1^8*T2^8 - 6004*T1^9*T2^8 - 11765*T1^10*T2^8 + 
      8882*T1^11*T2^8 - 3113*T1^12*T2^8 - 1662*T1^13*T2^8 + 694*T1^14*T2^8 + 
      250*T1^15*T2^8 + 9*T1^16*T2^8 - 52*T1*T2^9 - 532*T1^2*T2^9 - 
      49*T1^3*T2^9 + 3326*T1^4*T2^9 - 2396*T1^5*T2^9 - 3489*T1^6*T2^9 + 
      16053*T1^7*T2^9 - 6004*T1^8*T2^9 - 6004*T1^9*T2^9 + 16053*T1^10*T2^9 - 
      3489*T1^11*T2^9 - 2396*T1^12*T2^9 + 3326*T1^13*T2^9 - 49*T1^14*T2^9 - 
      532*T1^15*T2^9 - 52*T1^16*T2^9 + 143*T1^2*T2^10 + 639*T1^3*T2^10 - 
      1456*T1^4*T2^10 - 1436*T1^5*T2^10 + 4207*T1^6*T2^10 - 3489*T1^7*T2^10 - 
      11765*T1^8*T2^10 + 16053*T1^9*T2^10 - 11765*T1^10*T2^10 - 
      3489*T1^11*T2^10 + 4207*T1^12*T2^10 - 1436*T1^13*T2^10 - 
      1456*T1^14*T2^10 + 639*T1^15*T2^10 + 143*T1^16*T2^10 - 252*T1^3*T2^11 - 
      277*T1^4*T2^11 + 2090*T1^5*T2^11 - 1436*T1^6*T2^11 - 2396*T1^7*T2^11 + 
      8882*T1^8*T2^11 - 3489*T1^9*T2^11 - 3489*T1^10*T2^11 + 
      8882*T1^11*T2^11 - 2396*T1^12*T2^11 - 1436*T1^13*T2^11 + 
      2090*T1^14*T2^11 - 277*T1^15*T2^11 - 252*T1^16*T2^11 + 299*T1^4*T2^12 - 
      277*T1^5*T2^12 - 1456*T1^6*T2^12 + 3326*T1^7*T2^12 - 3113*T1^8*T2^12 - 
      2396*T1^9*T2^12 + 4207*T1^10*T2^12 - 2396*T1^11*T2^12 - 
      3113*T1^12*T2^12 + 3326*T1^13*T2^12 - 1456*T1^14*T2^12 - 
      277*T1^15*T2^12 + 299*T1^16*T2^12 - 252*T1^5*T2^13 + 639*T1^6*T2^13 - 
      49*T1^7*T2^13 - 1662*T1^8*T2^13 + 3326*T1^9*T2^13 - 1436*T1^10*T2^13 - 
      1436*T1^11*T2^13 + 3326*T1^12*T2^13 - 1662*T1^13*T2^13 - 
      49*T1^14*T2^13 + 639*T1^15*T2^13 - 252*T1^16*T2^13 + 143*T1^6*T2^14 - 
      532*T1^7*T2^14 + 694*T1^8*T2^14 - 49*T1^9*T2^14 - 1456*T1^10*T2^14 + 
      2090*T1^11*T2^14 - 1456*T1^12*T2^14 - 49*T1^13*T2^14 + 
      694*T1^14*T2^14 - 532*T1^15*T2^14 + 143*T1^16*T2^14 - 52*T1^7*T2^15 + 
      250*T1^8*T2^15 - 532*T1^9*T2^15 + 639*T1^10*T2^15 - 277*T1^11*T2^15 - 
      277*T1^12*T2^15 + 639*T1^13*T2^15 - 532*T1^14*T2^15 + 250*T1^15*T2^15 - 
      52*T1^16*T2^15 + 9*T1^8*T2^16 - 52*T1^9*T2^16 + 143*T1^10*T2^16 - 
      252*T1^11*T2^16 + 299*T1^12*T2^16 - 252*T1^13*T2^16 + 143*T1^14*T2^16 - 
      52*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   0}, Knot[12, Alternating, 628] -> 
  {(3 - 18*T + 46*T^2 - 61*T^3 + 46*T^4 - 18*T^5 + 3*T^6)/T^3, 
   (36 - 210*T1 + 524*T1^2 - 686*T1^3 + 524*T1^4 - 210*T1^5 + 36*T1^6 - 
     210*T2 + 1020*T1*T2 - 1847*T1^2*T2 + 957*T1^3*T2 + 957*T1^4*T2 - 
     1847*T1^5*T2 + 1020*T1^6*T2 - 210*T1^7*T2 + 524*T2^2 - 1847*T1*T2^2 + 
     1003*T1^2*T2^2 + 4970*T1^3*T2^2 - 8435*T1^4*T2^2 + 4970*T1^5*T2^2 + 
     1003*T1^6*T2^2 - 1847*T1^7*T2^2 + 524*T1^8*T2^2 - 686*T2^3 + 
     957*T1*T2^3 + 4970*T1^2*T2^3 - 14996*T1^3*T2^3 + 8326*T1^4*T2^3 + 
     8326*T1^5*T2^3 - 14996*T1^6*T2^3 + 4970*T1^7*T2^3 + 957*T1^8*T2^3 - 
     686*T1^9*T2^3 + 524*T2^4 + 957*T1*T2^4 - 8435*T1^2*T2^4 + 
     8326*T1^3*T2^4 + 20879*T1^4*T2^4 - 38129*T1^5*T2^4 + 20879*T1^6*T2^4 + 
     8326*T1^7*T2^4 - 8435*T1^8*T2^4 + 957*T1^9*T2^4 + 524*T1^10*T2^4 - 
     210*T2^5 - 1847*T1*T2^5 + 4970*T1^2*T2^5 + 8326*T1^3*T2^5 - 
     38129*T1^4*T2^5 + 21834*T1^5*T2^5 + 21834*T1^6*T2^5 - 38129*T1^7*T2^5 + 
     8326*T1^8*T2^5 + 4970*T1^9*T2^5 - 1847*T1^10*T2^5 - 210*T1^11*T2^5 + 
     36*T2^6 + 1020*T1*T2^6 + 1003*T1^2*T2^6 - 14996*T1^3*T2^6 + 
     20879*T1^4*T2^6 + 21834*T1^5*T2^6 - 47796*T1^6*T2^6 + 21834*T1^7*T2^6 + 
     20879*T1^8*T2^6 - 14996*T1^9*T2^6 + 1003*T1^10*T2^6 + 1020*T1^11*T2^6 + 
     36*T1^12*T2^6 - 210*T1*T2^7 - 1847*T1^2*T2^7 + 4970*T1^3*T2^7 + 
     8326*T1^4*T2^7 - 38129*T1^5*T2^7 + 21834*T1^6*T2^7 + 21834*T1^7*T2^7 - 
     38129*T1^8*T2^7 + 8326*T1^9*T2^7 + 4970*T1^10*T2^7 - 1847*T1^11*T2^7 - 
     210*T1^12*T2^7 + 524*T1^2*T2^8 + 957*T1^3*T2^8 - 8435*T1^4*T2^8 + 
     8326*T1^5*T2^8 + 20879*T1^6*T2^8 - 38129*T1^7*T2^8 + 20879*T1^8*T2^8 + 
     8326*T1^9*T2^8 - 8435*T1^10*T2^8 + 957*T1^11*T2^8 + 524*T1^12*T2^8 - 
     686*T1^3*T2^9 + 957*T1^4*T2^9 + 4970*T1^5*T2^9 - 14996*T1^6*T2^9 + 
     8326*T1^7*T2^9 + 8326*T1^8*T2^9 - 14996*T1^9*T2^9 + 4970*T1^10*T2^9 + 
     957*T1^11*T2^9 - 686*T1^12*T2^9 + 524*T1^4*T2^10 - 1847*T1^5*T2^10 + 
     1003*T1^6*T2^10 + 4970*T1^7*T2^10 - 8435*T1^8*T2^10 + 4970*T1^9*T2^10 + 
     1003*T1^10*T2^10 - 1847*T1^11*T2^10 + 524*T1^12*T2^10 - 210*T1^5*T2^11 + 
     1020*T1^6*T2^11 - 1847*T1^7*T2^11 + 957*T1^8*T2^11 + 957*T1^9*T2^11 - 
     1847*T1^10*T2^11 + 1020*T1^11*T2^11 - 210*T1^12*T2^11 + 36*T1^6*T2^12 - 
     210*T1^7*T2^12 + 524*T1^8*T2^12 - 686*T1^9*T2^12 + 524*T1^10*T2^12 - 
     210*T1^11*T2^12 + 36*T1^12*T2^12)/(T1^6*T2^6)}, 
 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, 
   (T1^2 - T1^3 - T1^4 + T1^5 - T1*T2 + T1^2*T2 - 21*T1^3*T2 + 43*T1^4*T2 - 
     21*T1^5*T2 + T1^6*T2 - T1^7*T2 + T2^2 + T1*T2^2 - 14*T1^2*T2^2 + 
     101*T1^3*T2^2 - 95*T1^4*T2^2 - 95*T1^5*T2^2 + 101*T1^6*T2^2 - 
     14*T1^7*T2^2 + T1^8*T2^2 + T1^9*T2^2 - T2^3 - 21*T1*T2^3 + 
     101*T1^2*T2^3 - 240*T1^3*T2^3 - 112*T1^4*T2^3 + 608*T1^5*T2^3 - 
     112*T1^6*T2^3 - 240*T1^7*T2^3 + 101*T1^8*T2^3 - 21*T1^9*T2^3 - 
     T1^10*T2^3 - T2^4 + 43*T1*T2^4 - 95*T1^2*T2^4 - 112*T1^3*T2^4 + 
     1154*T1^4*T2^4 - 1084*T1^5*T2^4 - 1084*T1^6*T2^4 + 1154*T1^7*T2^4 - 
     112*T1^8*T2^4 - 95*T1^9*T2^4 + 43*T1^10*T2^4 - T1^11*T2^4 + T2^5 - 
     21*T1*T2^5 - 95*T1^2*T2^5 + 608*T1^3*T2^5 - 1084*T1^4*T2^5 - 
     1563*T1^5*T2^5 + 4701*T1^6*T2^5 - 1563*T1^7*T2^5 - 1084*T1^8*T2^5 + 
     608*T1^9*T2^5 - 95*T1^10*T2^5 - 21*T1^11*T2^5 + T1^12*T2^5 + T1*T2^6 + 
     101*T1^2*T2^6 - 112*T1^3*T2^6 - 1084*T1^4*T2^6 + 4701*T1^5*T2^6 - 
     3902*T1^6*T2^6 - 3902*T1^7*T2^6 + 4701*T1^8*T2^6 - 1084*T1^9*T2^6 - 
     112*T1^10*T2^6 + 101*T1^11*T2^6 + T1^12*T2^6 - T1*T2^7 - 14*T1^2*T2^7 - 
     240*T1^3*T2^7 + 1154*T1^4*T2^7 - 1563*T1^5*T2^7 - 3902*T1^6*T2^7 + 
     9804*T1^7*T2^7 - 3902*T1^8*T2^7 - 1563*T1^9*T2^7 + 1154*T1^10*T2^7 - 
     240*T1^11*T2^7 - 14*T1^12*T2^7 - T1^13*T2^7 + T1^2*T2^8 + 
     101*T1^3*T2^8 - 112*T1^4*T2^8 - 1084*T1^5*T2^8 + 4701*T1^6*T2^8 - 
     3902*T1^7*T2^8 - 3902*T1^8*T2^8 + 4701*T1^9*T2^8 - 1084*T1^10*T2^8 - 
     112*T1^11*T2^8 + 101*T1^12*T2^8 + T1^13*T2^8 + T1^2*T2^9 - 
     21*T1^3*T2^9 - 95*T1^4*T2^9 + 608*T1^5*T2^9 - 1084*T1^6*T2^9 - 
     1563*T1^7*T2^9 + 4701*T1^8*T2^9 - 1563*T1^9*T2^9 - 1084*T1^10*T2^9 + 
     608*T1^11*T2^9 - 95*T1^12*T2^9 - 21*T1^13*T2^9 + T1^14*T2^9 - 
     T1^3*T2^10 + 43*T1^4*T2^10 - 95*T1^5*T2^10 - 112*T1^6*T2^10 + 
     1154*T1^7*T2^10 - 1084*T1^8*T2^10 - 1084*T1^9*T2^10 + 1154*T1^10*T2^10 - 
     112*T1^11*T2^10 - 95*T1^12*T2^10 + 43*T1^13*T2^10 - T1^14*T2^10 - 
     T1^4*T2^11 - 21*T1^5*T2^11 + 101*T1^6*T2^11 - 240*T1^7*T2^11 - 
     112*T1^8*T2^11 + 608*T1^9*T2^11 - 112*T1^10*T2^11 - 240*T1^11*T2^11 + 
     101*T1^12*T2^11 - 21*T1^13*T2^11 - T1^14*T2^11 + T1^5*T2^12 + 
     T1^6*T2^12 - 14*T1^7*T2^12 + 101*T1^8*T2^12 - 95*T1^9*T2^12 - 
     95*T1^10*T2^12 + 101*T1^11*T2^12 - 14*T1^12*T2^12 + T1^13*T2^12 + 
     T1^14*T2^12 - T1^7*T2^13 + T1^8*T2^13 - 21*T1^9*T2^13 + 43*T1^10*T2^13 - 
     21*T1^11*T2^13 + T1^12*T2^13 - T1^13*T2^13 + T1^9*T2^14 - T1^10*T2^14 - 
     T1^11*T2^14 + T1^12*T2^14)/(T1^7*T2^7)}, 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), -((1 - 8*T1 + 27*T1^2 - 52*T1^3 + 63*T1^4 - 52*T1^5 + 27*T1^6 - 
      8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 152*T1^2*T2 + 199*T1^3*T2 - 
      87*T1^4*T2 - 87*T1^5*T2 + 199*T1^6*T2 - 152*T1^7*T2 + 56*T1^8*T2 - 
      8*T1^9*T2 + 27*T2^2 - 152*T1*T2^2 + 249*T1^2*T2^2 + 95*T1^3*T2^2 - 
      863*T1^4*T2^2 + 1173*T1^5*T2^2 - 863*T1^6*T2^2 + 95*T1^7*T2^2 + 
      249*T1^8*T2^2 - 152*T1^9*T2^2 + 27*T1^10*T2^2 - 52*T2^3 + 199*T1*T2^3 + 
      95*T1^2*T2^3 - 1444*T1^3*T2^3 + 2515*T1^4*T2^3 - 1065*T1^5*T2^3 - 
      1065*T1^6*T2^3 + 2515*T1^7*T2^3 - 1444*T1^8*T2^3 + 95*T1^9*T2^3 + 
      199*T1^10*T2^3 - 52*T1^11*T2^3 + 63*T2^4 - 87*T1*T2^4 - 863*T1^2*T2^4 + 
      2515*T1^3*T2^4 - 1029*T1^4*T2^4 - 4723*T1^5*T2^4 + 6803*T1^6*T2^4 - 
      4723*T1^7*T2^4 - 1029*T1^8*T2^4 + 2515*T1^9*T2^4 - 863*T1^10*T2^4 - 
      87*T1^11*T2^4 + 63*T1^12*T2^4 - 52*T2^5 - 87*T1*T2^5 + 1173*T1^2*T2^5 - 
      1065*T1^3*T2^5 - 4723*T1^4*T2^5 + 10876*T1^5*T2^5 - 4594*T1^6*T2^5 - 
      4594*T1^7*T2^5 + 10876*T1^8*T2^5 - 4723*T1^9*T2^5 - 1065*T1^10*T2^5 + 
      1173*T1^11*T2^5 - 87*T1^12*T2^5 - 52*T1^13*T2^5 + 27*T2^6 + 
      199*T1*T2^6 - 863*T1^2*T2^6 - 1065*T1^3*T2^6 + 6803*T1^4*T2^6 - 
      4594*T1^5*T2^6 - 11948*T1^6*T2^6 + 17924*T1^7*T2^6 - 11948*T1^8*T2^6 - 
      4594*T1^9*T2^6 + 6803*T1^10*T2^6 - 1065*T1^11*T2^6 - 863*T1^12*T2^6 + 
      199*T1^13*T2^6 + 27*T1^14*T2^6 - 8*T2^7 - 152*T1*T2^7 + 95*T1^2*T2^7 + 
      2515*T1^3*T2^7 - 4723*T1^4*T2^7 - 4594*T1^5*T2^7 + 17924*T1^6*T2^7 - 
      7822*T1^7*T2^7 - 7822*T1^8*T2^7 + 17924*T1^9*T2^7 - 4594*T1^10*T2^7 - 
      4723*T1^11*T2^7 + 2515*T1^12*T2^7 + 95*T1^13*T2^7 - 152*T1^14*T2^7 - 
      8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 249*T1^2*T2^8 - 1444*T1^3*T2^8 - 
      1029*T1^4*T2^8 + 10876*T1^5*T2^8 - 11948*T1^6*T2^8 - 7822*T1^7*T2^8 + 
      15084*T1^8*T2^8 - 7822*T1^9*T2^8 - 11948*T1^10*T2^8 + 
      10876*T1^11*T2^8 - 1029*T1^12*T2^8 - 1444*T1^13*T2^8 + 249*T1^14*T2^8 + 
      56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 152*T1^2*T2^9 + 95*T1^3*T2^9 + 
      2515*T1^4*T2^9 - 4723*T1^5*T2^9 - 4594*T1^6*T2^9 + 17924*T1^7*T2^9 - 
      7822*T1^8*T2^9 - 7822*T1^9*T2^9 + 17924*T1^10*T2^9 - 4594*T1^11*T2^9 - 
      4723*T1^12*T2^9 + 2515*T1^13*T2^9 + 95*T1^14*T2^9 - 152*T1^15*T2^9 - 
      8*T1^16*T2^9 + 27*T1^2*T2^10 + 199*T1^3*T2^10 - 863*T1^4*T2^10 - 
      1065*T1^5*T2^10 + 6803*T1^6*T2^10 - 4594*T1^7*T2^10 - 
      11948*T1^8*T2^10 + 17924*T1^9*T2^10 - 11948*T1^10*T2^10 - 
      4594*T1^11*T2^10 + 6803*T1^12*T2^10 - 1065*T1^13*T2^10 - 
      863*T1^14*T2^10 + 199*T1^15*T2^10 + 27*T1^16*T2^10 - 52*T1^3*T2^11 - 
      87*T1^4*T2^11 + 1173*T1^5*T2^11 - 1065*T1^6*T2^11 - 4723*T1^7*T2^11 + 
      10876*T1^8*T2^11 - 4594*T1^9*T2^11 - 4594*T1^10*T2^11 + 
      10876*T1^11*T2^11 - 4723*T1^12*T2^11 - 1065*T1^13*T2^11 + 
      1173*T1^14*T2^11 - 87*T1^15*T2^11 - 52*T1^16*T2^11 + 63*T1^4*T2^12 - 
      87*T1^5*T2^12 - 863*T1^6*T2^12 + 2515*T1^7*T2^12 - 1029*T1^8*T2^12 - 
      4723*T1^9*T2^12 + 6803*T1^10*T2^12 - 4723*T1^11*T2^12 - 
      1029*T1^12*T2^12 + 2515*T1^13*T2^12 - 863*T1^14*T2^12 - 
      87*T1^15*T2^12 + 63*T1^16*T2^12 - 52*T1^5*T2^13 + 199*T1^6*T2^13 + 
      95*T1^7*T2^13 - 1444*T1^8*T2^13 + 2515*T1^9*T2^13 - 1065*T1^10*T2^13 - 
      1065*T1^11*T2^13 + 2515*T1^12*T2^13 - 1444*T1^13*T2^13 + 
      95*T1^14*T2^13 + 199*T1^15*T2^13 - 52*T1^16*T2^13 + 27*T1^6*T2^14 - 
      152*T1^7*T2^14 + 249*T1^8*T2^14 + 95*T1^9*T2^14 - 863*T1^10*T2^14 + 
      1173*T1^11*T2^14 - 863*T1^12*T2^14 + 95*T1^13*T2^14 + 249*T1^14*T2^14 - 
      152*T1^15*T2^14 + 27*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 
      152*T1^9*T2^15 + 199*T1^10*T2^15 - 87*T1^11*T2^15 - 87*T1^12*T2^15 + 
      199*T1^13*T2^15 - 152*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + 
      T1^8*T2^16 - 8*T1^9*T2^16 + 27*T1^10*T2^16 - 52*T1^11*T2^16 + 
      63*T1^12*T2^16 - 52*T1^13*T2^16 + 27*T1^14*T2^16 - 8*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 631] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 2*T + T^2)*(1 - 2*T + 2*T^2))/T^3), 
   (4*T1 - 20*T1^2 + 32*T1^3 - 20*T1^4 + 4*T1^5 + 4*T2 - 34*T1*T2 + 
     102*T1^2*T2 - 74*T1^3*T2 - 74*T1^4*T2 + 102*T1^5*T2 - 34*T1^6*T2 + 
     4*T1^7*T2 - 20*T2^2 + 102*T1*T2^2 - 179*T1^2*T2^2 - 130*T1^3*T2^2 + 
     489*T1^4*T2^2 - 130*T1^5*T2^2 - 179*T1^6*T2^2 + 102*T1^7*T2^2 - 
     20*T1^8*T2^2 + 32*T2^3 - 74*T1*T2^3 - 130*T1^2*T2^3 + 914*T1^3*T2^3 - 
     808*T1^4*T2^3 - 808*T1^5*T2^3 + 914*T1^6*T2^3 - 130*T1^7*T2^3 - 
     74*T1^8*T2^3 + 32*T1^9*T2^3 - 20*T2^4 - 74*T1*T2^4 + 489*T1^2*T2^4 - 
     808*T1^3*T2^4 - 1162*T1^4*T2^4 + 3448*T1^5*T2^4 - 1162*T1^6*T2^4 - 
     808*T1^7*T2^4 + 489*T1^8*T2^4 - 74*T1^9*T2^4 - 20*T1^10*T2^4 + 4*T2^5 + 
     102*T1*T2^5 - 130*T1^2*T2^5 - 808*T1^3*T2^5 + 3448*T1^4*T2^5 - 
     2848*T1^5*T2^5 - 2848*T1^6*T2^5 + 3448*T1^7*T2^5 - 808*T1^8*T2^5 - 
     130*T1^9*T2^5 + 102*T1^10*T2^5 + 4*T1^11*T2^5 - 34*T1*T2^6 - 
     179*T1^2*T2^6 + 914*T1^3*T2^6 - 1162*T1^4*T2^6 - 2848*T1^5*T2^6 + 
     7152*T1^6*T2^6 - 2848*T1^7*T2^6 - 1162*T1^8*T2^6 + 914*T1^9*T2^6 - 
     179*T1^10*T2^6 - 34*T1^11*T2^6 + 4*T1*T2^7 + 102*T1^2*T2^7 - 
     130*T1^3*T2^7 - 808*T1^4*T2^7 + 3448*T1^5*T2^7 - 2848*T1^6*T2^7 - 
     2848*T1^7*T2^7 + 3448*T1^8*T2^7 - 808*T1^9*T2^7 - 130*T1^10*T2^7 + 
     102*T1^11*T2^7 + 4*T1^12*T2^7 - 20*T1^2*T2^8 - 74*T1^3*T2^8 + 
     489*T1^4*T2^8 - 808*T1^5*T2^8 - 1162*T1^6*T2^8 + 3448*T1^7*T2^8 - 
     1162*T1^8*T2^8 - 808*T1^9*T2^8 + 489*T1^10*T2^8 - 74*T1^11*T2^8 - 
     20*T1^12*T2^8 + 32*T1^3*T2^9 - 74*T1^4*T2^9 - 130*T1^5*T2^9 + 
     914*T1^6*T2^9 - 808*T1^7*T2^9 - 808*T1^8*T2^9 + 914*T1^9*T2^9 - 
     130*T1^10*T2^9 - 74*T1^11*T2^9 + 32*T1^12*T2^9 - 20*T1^4*T2^10 + 
     102*T1^5*T2^10 - 179*T1^6*T2^10 - 130*T1^7*T2^10 + 489*T1^8*T2^10 - 
     130*T1^9*T2^10 - 179*T1^10*T2^10 + 102*T1^11*T2^10 - 20*T1^12*T2^10 + 
     4*T1^5*T2^11 - 34*T1^6*T2^11 + 102*T1^7*T2^11 - 74*T1^8*T2^11 - 
     74*T1^9*T2^11 + 102*T1^10*T2^11 - 34*T1^11*T2^11 + 4*T1^12*T2^11 + 
     4*T1^7*T2^12 - 20*T1^8*T2^12 + 32*T1^9*T2^12 - 20*T1^10*T2^12 + 
     4*T1^11*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 632] -> 
  {-((4 - 17*T + 33*T^2 - 41*T^3 + 33*T^4 - 17*T^5 + 4*T^6)/T^3), 
   -((16 - 68*T1 + 136*T1^2 - 176*T1^3 + 136*T1^4 - 68*T1^5 + 16*T1^6 - 
      68*T2 + 222*T1*T2 - 289*T1^2*T2 + 169*T1^3*T2 + 169*T1^4*T2 - 
      289*T1^5*T2 + 222*T1^6*T2 - 68*T1^7*T2 + 136*T2^2 - 289*T1*T2^2 + 
      92*T1^2*T2^2 + 203*T1^3*T2^2 - 576*T1^4*T2^2 + 203*T1^5*T2^2 + 
      92*T1^6*T2^2 - 289*T1^7*T2^2 + 136*T1^8*T2^2 - 176*T2^3 + 169*T1*T2^3 + 
      203*T1^2*T2^3 - 8*T1^3*T2^3 + 243*T1^4*T2^3 + 243*T1^5*T2^3 - 
      8*T1^6*T2^3 + 203*T1^7*T2^3 + 169*T1^8*T2^3 - 176*T1^9*T2^3 + 
      136*T2^4 + 169*T1*T2^4 - 576*T1^2*T2^4 + 243*T1^3*T2^4 - 
      1835*T1^4*T2^4 + 1865*T1^5*T2^4 - 1835*T1^6*T2^4 + 243*T1^7*T2^4 - 
      576*T1^8*T2^4 + 169*T1^9*T2^4 + 136*T1^10*T2^4 - 68*T2^5 - 
      289*T1*T2^5 + 203*T1^2*T2^5 + 243*T1^3*T2^5 + 1865*T1^4*T2^5 - 
      482*T1^5*T2^5 - 482*T1^6*T2^5 + 1865*T1^7*T2^5 + 243*T1^8*T2^5 + 
      203*T1^9*T2^5 - 289*T1^10*T2^5 - 68*T1^11*T2^5 + 16*T2^6 + 
      222*T1*T2^6 + 92*T1^2*T2^6 - 8*T1^3*T2^6 - 1835*T1^4*T2^6 - 
      482*T1^5*T2^6 + 564*T1^6*T2^6 - 482*T1^7*T2^6 - 1835*T1^8*T2^6 - 
      8*T1^9*T2^6 + 92*T1^10*T2^6 + 222*T1^11*T2^6 + 16*T1^12*T2^6 - 
      68*T1*T2^7 - 289*T1^2*T2^7 + 203*T1^3*T2^7 + 243*T1^4*T2^7 + 
      1865*T1^5*T2^7 - 482*T1^6*T2^7 - 482*T1^7*T2^7 + 1865*T1^8*T2^7 + 
      243*T1^9*T2^7 + 203*T1^10*T2^7 - 289*T1^11*T2^7 - 68*T1^12*T2^7 + 
      136*T1^2*T2^8 + 169*T1^3*T2^8 - 576*T1^4*T2^8 + 243*T1^5*T2^8 - 
      1835*T1^6*T2^8 + 1865*T1^7*T2^8 - 1835*T1^8*T2^8 + 243*T1^9*T2^8 - 
      576*T1^10*T2^8 + 169*T1^11*T2^8 + 136*T1^12*T2^8 - 176*T1^3*T2^9 + 
      169*T1^4*T2^9 + 203*T1^5*T2^9 - 8*T1^6*T2^9 + 243*T1^7*T2^9 + 
      243*T1^8*T2^9 - 8*T1^9*T2^9 + 203*T1^10*T2^9 + 169*T1^11*T2^9 - 
      176*T1^12*T2^9 + 136*T1^4*T2^10 - 289*T1^5*T2^10 + 92*T1^6*T2^10 + 
      203*T1^7*T2^10 - 576*T1^8*T2^10 + 203*T1^9*T2^10 + 92*T1^10*T2^10 - 
      289*T1^11*T2^10 + 136*T1^12*T2^10 - 68*T1^5*T2^11 + 222*T1^6*T2^11 - 
      289*T1^7*T2^11 + 169*T1^8*T2^11 + 169*T1^9*T2^11 - 289*T1^10*T2^11 + 
      222*T1^11*T2^11 - 68*T1^12*T2^11 + 16*T1^6*T2^12 - 68*T1^7*T2^12 + 
      136*T1^8*T2^12 - 176*T1^9*T2^12 + 136*T1^10*T2^12 - 68*T1^11*T2^12 + 
      16*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 633] -> 
  {(4 - 21*T + 51*T^2 - 67*T^3 + 51*T^4 - 21*T^5 + 4*T^6)/T^3, 
   (80 - 412*T1 + 992*T1^2 - 1296*T1^3 + 992*T1^4 - 412*T1^5 + 80*T1^6 - 
     412*T2 + 1714*T1*T2 - 2995*T1^2*T2 + 1571*T1^3*T2 + 1571*T1^4*T2 - 
     2995*T1^5*T2 + 1714*T1^6*T2 - 412*T1^7*T2 + 992*T2^2 - 2995*T1*T2^2 + 
     2341*T1^2*T2^2 + 5264*T1^3*T2^2 - 9995*T1^4*T2^2 + 5264*T1^5*T2^2 + 
     2341*T1^6*T2^2 - 2995*T1^7*T2^2 + 992*T1^8*T2^2 - 1296*T2^3 + 
     1571*T1*T2^3 + 5264*T1^2*T2^3 - 17716*T1^3*T2^3 + 10301*T1^4*T2^3 + 
     10301*T1^5*T2^3 - 17716*T1^6*T2^3 + 5264*T1^7*T2^3 + 1571*T1^8*T2^3 - 
     1296*T1^9*T2^3 + 992*T2^4 + 1571*T1*T2^4 - 9995*T1^2*T2^4 + 
     10301*T1^3*T2^4 + 23765*T1^4*T2^4 - 45225*T1^5*T2^4 + 23765*T1^6*T2^4 + 
     10301*T1^7*T2^4 - 9995*T1^8*T2^4 + 1571*T1^9*T2^4 + 992*T1^10*T2^4 - 
     412*T2^5 - 2995*T1*T2^5 + 5264*T1^2*T2^5 + 10301*T1^3*T2^5 - 
     45225*T1^4*T2^5 + 26816*T1^5*T2^5 + 26816*T1^6*T2^5 - 45225*T1^7*T2^5 + 
     10301*T1^8*T2^5 + 5264*T1^9*T2^5 - 2995*T1^10*T2^5 - 412*T1^11*T2^5 + 
     80*T2^6 + 1714*T1*T2^6 + 2341*T1^2*T2^6 - 17716*T1^3*T2^6 + 
     23765*T1^4*T2^6 + 26816*T1^5*T2^6 - 59556*T1^6*T2^6 + 26816*T1^7*T2^6 + 
     23765*T1^8*T2^6 - 17716*T1^9*T2^6 + 2341*T1^10*T2^6 + 1714*T1^11*T2^6 + 
     80*T1^12*T2^6 - 412*T1*T2^7 - 2995*T1^2*T2^7 + 5264*T1^3*T2^7 + 
     10301*T1^4*T2^7 - 45225*T1^5*T2^7 + 26816*T1^6*T2^7 + 26816*T1^7*T2^7 - 
     45225*T1^8*T2^7 + 10301*T1^9*T2^7 + 5264*T1^10*T2^7 - 2995*T1^11*T2^7 - 
     412*T1^12*T2^7 + 992*T1^2*T2^8 + 1571*T1^3*T2^8 - 9995*T1^4*T2^8 + 
     10301*T1^5*T2^8 + 23765*T1^6*T2^8 - 45225*T1^7*T2^8 + 23765*T1^8*T2^8 + 
     10301*T1^9*T2^8 - 9995*T1^10*T2^8 + 1571*T1^11*T2^8 + 992*T1^12*T2^8 - 
     1296*T1^3*T2^9 + 1571*T1^4*T2^9 + 5264*T1^5*T2^9 - 17716*T1^6*T2^9 + 
     10301*T1^7*T2^9 + 10301*T1^8*T2^9 - 17716*T1^9*T2^9 + 5264*T1^10*T2^9 + 
     1571*T1^11*T2^9 - 1296*T1^12*T2^9 + 992*T1^4*T2^10 - 2995*T1^5*T2^10 + 
     2341*T1^6*T2^10 + 5264*T1^7*T2^10 - 9995*T1^8*T2^10 + 5264*T1^9*T2^10 + 
     2341*T1^10*T2^10 - 2995*T1^11*T2^10 + 992*T1^12*T2^10 - 412*T1^5*T2^11 + 
     1714*T1^6*T2^11 - 2995*T1^7*T2^11 + 1571*T1^8*T2^11 + 1571*T1^9*T2^11 - 
     2995*T1^10*T2^11 + 1714*T1^11*T2^11 - 412*T1^12*T2^11 + 80*T1^6*T2^12 - 
     412*T1^7*T2^12 + 992*T1^8*T2^12 - 1296*T1^9*T2^12 + 992*T1^10*T2^12 - 
     412*T1^11*T2^12 + 80*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 634] -> {((1 - T + T^2)^2*(4 - 7*T + 4*T^2))/T^3, 
   (-2*(40 - 148*T1 + 296*T1^2 - 364*T1^3 + 296*T1^4 - 148*T1^5 + 40*T1^6 - 
      148*T2 + 400*T1*T2 - 548*T1^2*T2 + 252*T1^3*T2 + 252*T1^4*T2 - 
      548*T1^5*T2 + 400*T1^6*T2 - 148*T1^7*T2 + 296*T2^2 - 548*T1*T2^2 + 
      456*T1^2*T2^2 + 320*T1^3*T2^2 - 712*T1^4*T2^2 + 320*T1^5*T2^2 + 
      456*T1^6*T2^2 - 548*T1^7*T2^2 + 296*T1^8*T2^2 - 364*T2^3 + 
      252*T1*T2^3 + 320*T1^2*T2^3 - 1328*T1^3*T2^3 + 704*T1^4*T2^3 + 
      704*T1^5*T2^3 - 1328*T1^6*T2^3 + 320*T1^7*T2^3 + 252*T1^8*T2^3 - 
      364*T1^9*T2^3 + 296*T2^4 + 252*T1*T2^4 - 712*T1^2*T2^4 + 
      704*T1^3*T2^4 + 1713*T1^4*T2^4 - 3020*T1^5*T2^4 + 1713*T1^6*T2^4 + 
      704*T1^7*T2^4 - 712*T1^8*T2^4 + 252*T1^9*T2^4 + 296*T1^10*T2^4 - 
      148*T2^5 - 548*T1*T2^5 + 320*T1^2*T2^5 + 704*T1^3*T2^5 - 
      3020*T1^4*T2^5 + 1667*T1^5*T2^5 + 1667*T1^6*T2^5 - 3020*T1^7*T2^5 + 
      704*T1^8*T2^5 + 320*T1^9*T2^5 - 548*T1^10*T2^5 - 148*T1^11*T2^5 + 
      40*T2^6 + 400*T1*T2^6 + 456*T1^2*T2^6 - 1328*T1^3*T2^6 + 
      1713*T1^4*T2^6 + 1667*T1^5*T2^6 - 3624*T1^6*T2^6 + 1667*T1^7*T2^6 + 
      1713*T1^8*T2^6 - 1328*T1^9*T2^6 + 456*T1^10*T2^6 + 400*T1^11*T2^6 + 
      40*T1^12*T2^6 - 148*T1*T2^7 - 548*T1^2*T2^7 + 320*T1^3*T2^7 + 
      704*T1^4*T2^7 - 3020*T1^5*T2^7 + 1667*T1^6*T2^7 + 1667*T1^7*T2^7 - 
      3020*T1^8*T2^7 + 704*T1^9*T2^7 + 320*T1^10*T2^7 - 548*T1^11*T2^7 - 
      148*T1^12*T2^7 + 296*T1^2*T2^8 + 252*T1^3*T2^8 - 712*T1^4*T2^8 + 
      704*T1^5*T2^8 + 1713*T1^6*T2^8 - 3020*T1^7*T2^8 + 1713*T1^8*T2^8 + 
      704*T1^9*T2^8 - 712*T1^10*T2^8 + 252*T1^11*T2^8 + 296*T1^12*T2^8 - 
      364*T1^3*T2^9 + 252*T1^4*T2^9 + 320*T1^5*T2^9 - 1328*T1^6*T2^9 + 
      704*T1^7*T2^9 + 704*T1^8*T2^9 - 1328*T1^9*T2^9 + 320*T1^10*T2^9 + 
      252*T1^11*T2^9 - 364*T1^12*T2^9 + 296*T1^4*T2^10 - 548*T1^5*T2^10 + 
      456*T1^6*T2^10 + 320*T1^7*T2^10 - 712*T1^8*T2^10 + 320*T1^9*T2^10 + 
      456*T1^10*T2^10 - 548*T1^11*T2^10 + 296*T1^12*T2^10 - 148*T1^5*T2^11 + 
      400*T1^6*T2^11 - 548*T1^7*T2^11 + 252*T1^8*T2^11 + 252*T1^9*T2^11 - 
      548*T1^10*T2^11 + 400*T1^11*T2^11 - 148*T1^12*T2^11 + 40*T1^6*T2^12 - 
      148*T1^7*T2^12 + 296*T1^8*T2^12 - 364*T1^9*T2^12 + 296*T1^10*T2^12 - 
      148*T1^11*T2^12 + 40*T1^12*T2^12))/(T1^6*T2^6)}, 
 Knot[12, Alternating, 635] -> 
  {-((3 - 19*T + 47*T^2 - 63*T^3 + 47*T^4 - 19*T^5 + 3*T^6)/T^3), 
   (3 - 20*T1 + 50*T1^2 - 69*T1^3 + 50*T1^4 - 20*T1^5 + 3*T1^6 - 20*T2 + 
     114*T1*T2 - 202*T1^2*T2 + 126*T1^3*T2 + 126*T1^4*T2 - 202*T1^5*T2 + 
     114*T1^6*T2 - 20*T1^7*T2 + 50*T2^2 - 202*T1*T2^2 + 48*T1^2*T2^2 + 
     564*T1^3*T2^2 - 1118*T1^4*T2^2 + 564*T1^5*T2^2 + 48*T1^6*T2^2 - 
     202*T1^7*T2^2 + 50*T1^8*T2^2 - 69*T2^3 + 126*T1*T2^3 + 564*T1^2*T2^3 - 
     1320*T1^3*T2^3 + 1042*T1^4*T2^3 + 1042*T1^5*T2^3 - 1320*T1^6*T2^3 + 
     564*T1^7*T2^3 + 126*T1^8*T2^3 - 69*T1^9*T2^3 + 50*T2^4 + 126*T1*T2^4 - 
     1118*T1^2*T2^4 + 1042*T1^3*T2^4 + 227*T1^4*T2^4 - 2295*T1^5*T2^4 + 
     227*T1^6*T2^4 + 1042*T1^7*T2^4 - 1118*T1^8*T2^4 + 126*T1^9*T2^4 + 
     50*T1^10*T2^4 - 20*T2^5 - 202*T1*T2^5 + 564*T1^2*T2^5 + 1042*T1^3*T2^5 - 
     2295*T1^4*T2^5 + 2292*T1^5*T2^5 + 2292*T1^6*T2^5 - 2295*T1^7*T2^5 + 
     1042*T1^8*T2^5 + 564*T1^9*T2^5 - 202*T1^10*T2^5 - 20*T1^11*T2^5 + 
     3*T2^6 + 114*T1*T2^6 + 48*T1^2*T2^6 - 1320*T1^3*T2^6 + 227*T1^4*T2^6 + 
     2292*T1^5*T2^6 - 6012*T1^6*T2^6 + 2292*T1^7*T2^6 + 227*T1^8*T2^6 - 
     1320*T1^9*T2^6 + 48*T1^10*T2^6 + 114*T1^11*T2^6 + 3*T1^12*T2^6 - 
     20*T1*T2^7 - 202*T1^2*T2^7 + 564*T1^3*T2^7 + 1042*T1^4*T2^7 - 
     2295*T1^5*T2^7 + 2292*T1^6*T2^7 + 2292*T1^7*T2^7 - 2295*T1^8*T2^7 + 
     1042*T1^9*T2^7 + 564*T1^10*T2^7 - 202*T1^11*T2^7 - 20*T1^12*T2^7 + 
     50*T1^2*T2^8 + 126*T1^3*T2^8 - 1118*T1^4*T2^8 + 1042*T1^5*T2^8 + 
     227*T1^6*T2^8 - 2295*T1^7*T2^8 + 227*T1^8*T2^8 + 1042*T1^9*T2^8 - 
     1118*T1^10*T2^8 + 126*T1^11*T2^8 + 50*T1^12*T2^8 - 69*T1^3*T2^9 + 
     126*T1^4*T2^9 + 564*T1^5*T2^9 - 1320*T1^6*T2^9 + 1042*T1^7*T2^9 + 
     1042*T1^8*T2^9 - 1320*T1^9*T2^9 + 564*T1^10*T2^9 + 126*T1^11*T2^9 - 
     69*T1^12*T2^9 + 50*T1^4*T2^10 - 202*T1^5*T2^10 + 48*T1^6*T2^10 + 
     564*T1^7*T2^10 - 1118*T1^8*T2^10 + 564*T1^9*T2^10 + 48*T1^10*T2^10 - 
     202*T1^11*T2^10 + 50*T1^12*T2^10 - 20*T1^5*T2^11 + 114*T1^6*T2^11 - 
     202*T1^7*T2^11 + 126*T1^8*T2^11 + 126*T1^9*T2^11 - 202*T1^10*T2^11 + 
     114*T1^11*T2^11 - 20*T1^12*T2^11 + 3*T1^6*T2^12 - 20*T1^7*T2^12 + 
     50*T1^8*T2^12 - 69*T1^9*T2^12 + 50*T1^10*T2^12 - 20*T1^11*T2^12 + 
     3*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 636] -> 
  {(7 - 23*T + 33*T^2 - 23*T^3 + 7*T^4)/T^2, 
   -((161 - 537*T1 + 793*T1^2 - 537*T1^3 + 161*T1^4 - 537*T2 + 1260*T1*T2 - 
      860*T1^2*T2 - 860*T1^3*T2 + 1260*T1^4*T2 - 537*T1^5*T2 + 793*T2^2 - 
      860*T1*T2^2 - 974*T1^2*T2^2 + 2998*T1^3*T2^2 - 974*T1^4*T2^2 - 
      860*T1^5*T2^2 + 793*T1^6*T2^2 - 537*T2^3 - 860*T1*T2^3 + 
      2998*T1^2*T2^3 - 2518*T1^3*T2^3 - 2518*T1^4*T2^3 + 2998*T1^5*T2^3 - 
      860*T1^6*T2^3 - 537*T1^7*T2^3 + 161*T2^4 + 1260*T1*T2^4 - 
      974*T1^2*T2^4 - 2518*T1^3*T2^4 + 6444*T1^4*T2^4 - 2518*T1^5*T2^4 - 
      974*T1^6*T2^4 + 1260*T1^7*T2^4 + 161*T1^8*T2^4 - 537*T1*T2^5 - 
      860*T1^2*T2^5 + 2998*T1^3*T2^5 - 2518*T1^4*T2^5 - 2518*T1^5*T2^5 + 
      2998*T1^6*T2^5 - 860*T1^7*T2^5 - 537*T1^8*T2^5 + 793*T1^2*T2^6 - 
      860*T1^3*T2^6 - 974*T1^4*T2^6 + 2998*T1^5*T2^6 - 974*T1^6*T2^6 - 
      860*T1^7*T2^6 + 793*T1^8*T2^6 - 537*T1^3*T2^7 + 1260*T1^4*T2^7 - 
      860*T1^5*T2^7 - 860*T1^6*T2^7 + 1260*T1^7*T2^7 - 537*T1^8*T2^7 + 
      161*T1^4*T2^8 - 537*T1^5*T2^8 + 793*T1^6*T2^8 - 537*T1^7*T2^8 + 
      161*T1^8*T2^8)/(T1^4*T2^4))}, 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), 
   (1 - 8*T1 + 26*T1^2 - 50*T1^3 + 61*T1^4 - 50*T1^5 + 26*T1^6 - 8*T1^7 + 
     T1^8 - 8*T2 + 56*T1*T2 - 143*T1^2*T2 + 190*T1^3*T2 - 87*T1^4*T2 - 
     87*T1^5*T2 + 190*T1^6*T2 - 143*T1^7*T2 + 56*T1^8*T2 - 8*T1^9*T2 + 
     26*T2^2 - 143*T1*T2^2 + 190*T1^2*T2^2 + 131*T1^3*T2^2 - 860*T1^4*T2^2 + 
     1202*T1^5*T2^2 - 860*T1^6*T2^2 + 131*T1^7*T2^2 + 190*T1^8*T2^2 - 
     143*T1^9*T2^2 + 26*T1^10*T2^2 - 50*T2^3 + 190*T1*T2^3 + 131*T1^2*T2^3 - 
     1174*T1^3*T2^3 + 2133*T1^4*T2^3 - 1003*T1^5*T2^3 - 1003*T1^6*T2^3 + 
     2133*T1^7*T2^3 - 1174*T1^8*T2^3 + 131*T1^9*T2^3 + 190*T1^10*T2^3 - 
     50*T1^11*T2^3 + 61*T2^4 - 87*T1*T2^4 - 860*T1^2*T2^4 + 2133*T1^3*T2^4 - 
     1568*T1^4*T2^4 - 2587*T1^5*T2^4 + 4538*T1^6*T2^4 - 2587*T1^7*T2^4 - 
     1568*T1^8*T2^4 + 2133*T1^9*T2^4 - 860*T1^10*T2^4 - 87*T1^11*T2^4 + 
     61*T1^12*T2^4 - 50*T2^5 - 87*T1*T2^5 + 1202*T1^2*T2^5 - 1003*T1^3*T2^5 - 
     2587*T1^4*T2^5 + 7616*T1^5*T2^5 - 3776*T1^6*T2^5 - 3776*T1^7*T2^5 + 
     7616*T1^8*T2^5 - 2587*T1^9*T2^5 - 1003*T1^10*T2^5 + 1202*T1^11*T2^5 - 
     87*T1^12*T2^5 - 50*T1^13*T2^5 + 26*T2^6 + 190*T1*T2^6 - 860*T1^2*T2^6 - 
     1003*T1^3*T2^6 + 4538*T1^4*T2^6 - 3776*T1^5*T2^6 - 8485*T1^6*T2^6 + 
     14563*T1^7*T2^6 - 8485*T1^8*T2^6 - 3776*T1^9*T2^6 + 4538*T1^10*T2^6 - 
     1003*T1^11*T2^6 - 860*T1^12*T2^6 + 190*T1^13*T2^6 + 26*T1^14*T2^6 - 
     8*T2^7 - 143*T1*T2^7 + 131*T1^2*T2^7 + 2133*T1^3*T2^7 - 2587*T1^4*T2^7 - 
     3776*T1^5*T2^7 + 14563*T1^6*T2^7 - 7628*T1^7*T2^7 - 7628*T1^8*T2^7 + 
     14563*T1^9*T2^7 - 3776*T1^10*T2^7 - 2587*T1^11*T2^7 + 2133*T1^12*T2^7 + 
     131*T1^13*T2^7 - 143*T1^14*T2^7 - 8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 
     190*T1^2*T2^8 - 1174*T1^3*T2^8 - 1568*T1^4*T2^8 + 7616*T1^5*T2^8 - 
     8485*T1^6*T2^8 - 7628*T1^7*T2^8 + 16176*T1^8*T2^8 - 7628*T1^9*T2^8 - 
     8485*T1^10*T2^8 + 7616*T1^11*T2^8 - 1568*T1^12*T2^8 - 1174*T1^13*T2^8 + 
     190*T1^14*T2^8 + 56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 
     143*T1^2*T2^9 + 131*T1^3*T2^9 + 2133*T1^4*T2^9 - 2587*T1^5*T2^9 - 
     3776*T1^6*T2^9 + 14563*T1^7*T2^9 - 7628*T1^8*T2^9 - 7628*T1^9*T2^9 + 
     14563*T1^10*T2^9 - 3776*T1^11*T2^9 - 2587*T1^12*T2^9 + 2133*T1^13*T2^9 + 
     131*T1^14*T2^9 - 143*T1^15*T2^9 - 8*T1^16*T2^9 + 26*T1^2*T2^10 + 
     190*T1^3*T2^10 - 860*T1^4*T2^10 - 1003*T1^5*T2^10 + 4538*T1^6*T2^10 - 
     3776*T1^7*T2^10 - 8485*T1^8*T2^10 + 14563*T1^9*T2^10 - 
     8485*T1^10*T2^10 - 3776*T1^11*T2^10 + 4538*T1^12*T2^10 - 
     1003*T1^13*T2^10 - 860*T1^14*T2^10 + 190*T1^15*T2^10 + 26*T1^16*T2^10 - 
     50*T1^3*T2^11 - 87*T1^4*T2^11 + 1202*T1^5*T2^11 - 1003*T1^6*T2^11 - 
     2587*T1^7*T2^11 + 7616*T1^8*T2^11 - 3776*T1^9*T2^11 - 3776*T1^10*T2^11 + 
     7616*T1^11*T2^11 - 2587*T1^12*T2^11 - 1003*T1^13*T2^11 + 
     1202*T1^14*T2^11 - 87*T1^15*T2^11 - 50*T1^16*T2^11 + 61*T1^4*T2^12 - 
     87*T1^5*T2^12 - 860*T1^6*T2^12 + 2133*T1^7*T2^12 - 1568*T1^8*T2^12 - 
     2587*T1^9*T2^12 + 4538*T1^10*T2^12 - 2587*T1^11*T2^12 - 
     1568*T1^12*T2^12 + 2133*T1^13*T2^12 - 860*T1^14*T2^12 - 87*T1^15*T2^12 + 
     61*T1^16*T2^12 - 50*T1^5*T2^13 + 190*T1^6*T2^13 + 131*T1^7*T2^13 - 
     1174*T1^8*T2^13 + 2133*T1^9*T2^13 - 1003*T1^10*T2^13 - 
     1003*T1^11*T2^13 + 2133*T1^12*T2^13 - 1174*T1^13*T2^13 + 
     131*T1^14*T2^13 + 190*T1^15*T2^13 - 50*T1^16*T2^13 + 26*T1^6*T2^14 - 
     143*T1^7*T2^14 + 190*T1^8*T2^14 + 131*T1^9*T2^14 - 860*T1^10*T2^14 + 
     1202*T1^11*T2^14 - 860*T1^12*T2^14 + 131*T1^13*T2^14 + 190*T1^14*T2^14 - 
     143*T1^15*T2^14 + 26*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 
     143*T1^9*T2^15 + 190*T1^10*T2^15 - 87*T1^11*T2^15 - 87*T1^12*T2^15 + 
     190*T1^13*T2^15 - 143*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + 
     T1^8*T2^16 - 8*T1^9*T2^16 + 26*T1^10*T2^16 - 50*T1^11*T2^16 + 
     61*T1^12*T2^16 - 50*T1^13*T2^16 + 26*T1^14*T2^16 - 8*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, Knot[12, Alternating, 638] -> 
  {-((4 - 20*T + 41*T^2 - 51*T^3 + 41*T^4 - 20*T^5 + 4*T^6)/T^3), 
   (-2*(72 - 354*T1 + 712*T1^2 - 880*T1^3 + 712*T1^4 - 354*T1^5 + 72*T1^6 - 
      354*T2 + 1392*T1*T2 - 1779*T1^2*T2 + 838*T1^3*T2 + 838*T1^4*T2 - 
      1779*T1^5*T2 + 1392*T1^6*T2 - 354*T1^7*T2 + 712*T2^2 - 1779*T1*T2^2 - 
      758*T1^2*T2^2 + 5099*T1^3*T2^2 - 7386*T1^4*T2^2 + 5099*T1^5*T2^2 - 
      758*T1^6*T2^2 - 1779*T1^7*T2^2 + 712*T1^8*T2^2 - 880*T2^3 + 
      838*T1*T2^3 + 5099*T1^2*T2^3 - 8125*T1^3*T2^3 + 4179*T1^4*T2^3 + 
      4179*T1^5*T2^3 - 8125*T1^6*T2^3 + 5099*T1^7*T2^3 + 838*T1^8*T2^3 - 
      880*T1^9*T2^3 + 712*T2^4 + 838*T1*T2^4 - 7386*T1^2*T2^4 + 
      4179*T1^3*T2^4 + 4641*T1^4*T2^4 - 10127*T1^5*T2^4 + 4641*T1^6*T2^4 + 
      4179*T1^7*T2^4 - 7386*T1^8*T2^4 + 838*T1^9*T2^4 + 712*T1^10*T2^4 - 
      354*T2^5 - 1779*T1*T2^5 + 5099*T1^2*T2^5 + 4179*T1^3*T2^5 - 
      10127*T1^4*T2^5 + 5937*T1^5*T2^5 + 5937*T1^6*T2^5 - 10127*T1^7*T2^5 + 
      4179*T1^8*T2^5 + 5099*T1^9*T2^5 - 1779*T1^10*T2^5 - 354*T1^11*T2^5 + 
      72*T2^6 + 1392*T1*T2^6 - 758*T1^2*T2^6 - 8125*T1^3*T2^6 + 
      4641*T1^4*T2^6 + 5937*T1^5*T2^6 - 12936*T1^6*T2^6 + 5937*T1^7*T2^6 + 
      4641*T1^8*T2^6 - 8125*T1^9*T2^6 - 758*T1^10*T2^6 + 1392*T1^11*T2^6 + 
      72*T1^12*T2^6 - 354*T1*T2^7 - 1779*T1^2*T2^7 + 5099*T1^3*T2^7 + 
      4179*T1^4*T2^7 - 10127*T1^5*T2^7 + 5937*T1^6*T2^7 + 5937*T1^7*T2^7 - 
      10127*T1^8*T2^7 + 4179*T1^9*T2^7 + 5099*T1^10*T2^7 - 1779*T1^11*T2^7 - 
      354*T1^12*T2^7 + 712*T1^2*T2^8 + 838*T1^3*T2^8 - 7386*T1^4*T2^8 + 
      4179*T1^5*T2^8 + 4641*T1^6*T2^8 - 10127*T1^7*T2^8 + 4641*T1^8*T2^8 + 
      4179*T1^9*T2^8 - 7386*T1^10*T2^8 + 838*T1^11*T2^8 + 712*T1^12*T2^8 - 
      880*T1^3*T2^9 + 838*T1^4*T2^9 + 5099*T1^5*T2^9 - 8125*T1^6*T2^9 + 
      4179*T1^7*T2^9 + 4179*T1^8*T2^9 - 8125*T1^9*T2^9 + 5099*T1^10*T2^9 + 
      838*T1^11*T2^9 - 880*T1^12*T2^9 + 712*T1^4*T2^10 - 1779*T1^5*T2^10 - 
      758*T1^6*T2^10 + 5099*T1^7*T2^10 - 7386*T1^8*T2^10 + 5099*T1^9*T2^10 - 
      758*T1^10*T2^10 - 1779*T1^11*T2^10 + 712*T1^12*T2^10 - 354*T1^5*T2^11 + 
      1392*T1^6*T2^11 - 1779*T1^7*T2^11 + 838*T1^8*T2^11 + 838*T1^9*T2^11 - 
      1779*T1^10*T2^11 + 1392*T1^11*T2^11 - 354*T1^12*T2^11 + 72*T1^6*T2^12 - 
      354*T1^7*T2^12 + 712*T1^8*T2^12 - 880*T1^9*T2^12 + 712*T1^10*T2^12 - 
      354*T1^11*T2^12 + 72*T1^12*T2^12))/(T1^6*T2^6)}, 
 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), -((9 - 44*T1 + 104*T1^2 - 173*T1^3 + 203*T1^4 - 173*T1^5 + 
      104*T1^6 - 44*T1^7 + 9*T1^8 - 44*T2 + 172*T1*T2 - 296*T1^2*T2 + 
      340*T1^3*T2 - 148*T1^4*T2 - 148*T1^5*T2 + 340*T1^6*T2 - 296*T1^7*T2 + 
      172*T1^8*T2 - 44*T1^9*T2 + 104*T2^2 - 296*T1*T2^2 + 253*T1^2*T2^2 + 
      T1^3*T2^2 - 640*T1^4*T2^2 + 927*T1^5*T2^2 - 640*T1^6*T2^2 + T1^7*T2^2 + 
      253*T1^8*T2^2 - 296*T1^9*T2^2 + 104*T1^10*T2^2 - 173*T2^3 + 
      340*T1*T2^3 + T1^2*T2^3 - 308*T1^3*T2^3 + 952*T1^4*T2^3 - 
      445*T1^5*T2^3 - 445*T1^6*T2^3 + 952*T1^7*T2^3 - 308*T1^8*T2^3 + 
      T1^9*T2^3 + 340*T1^10*T2^3 - 173*T1^11*T2^3 + 203*T2^4 - 148*T1*T2^4 - 
      640*T1^2*T2^4 + 952*T1^3*T2^4 - 1876*T1^4*T2^4 + 890*T1^5*T2^4 - 
      524*T1^6*T2^4 + 890*T1^7*T2^4 - 1876*T1^8*T2^4 + 952*T1^9*T2^4 - 
      640*T1^10*T2^4 - 148*T1^11*T2^4 + 203*T1^12*T2^4 - 173*T2^5 - 
      148*T1*T2^5 + 927*T1^2*T2^5 - 445*T1^3*T2^5 + 890*T1^4*T2^5 + 
      1148*T1^5*T2^5 - 532*T1^6*T2^5 - 532*T1^7*T2^5 + 1148*T1^8*T2^5 + 
      890*T1^9*T2^5 - 445*T1^10*T2^5 + 927*T1^11*T2^5 - 148*T1^12*T2^5 - 
      173*T1^13*T2^5 + 104*T2^6 + 340*T1*T2^6 - 640*T1^2*T2^6 - 
      445*T1^3*T2^6 - 524*T1^4*T2^6 - 532*T1^5*T2^6 - 2920*T1^6*T2^6 + 
      4086*T1^7*T2^6 - 2920*T1^8*T2^6 - 532*T1^9*T2^6 - 524*T1^10*T2^6 - 
      445*T1^11*T2^6 - 640*T1^12*T2^6 + 340*T1^13*T2^6 + 104*T1^14*T2^6 - 
      44*T2^7 - 296*T1*T2^7 + T1^2*T2^7 + 952*T1^3*T2^7 + 890*T1^4*T2^7 - 
      532*T1^5*T2^7 + 4086*T1^6*T2^7 - 1742*T1^7*T2^7 - 1742*T1^8*T2^7 + 
      4086*T1^9*T2^7 - 532*T1^10*T2^7 + 890*T1^11*T2^7 + 952*T1^12*T2^7 + 
      T1^13*T2^7 - 296*T1^14*T2^7 - 44*T1^15*T2^7 + 9*T2^8 + 172*T1*T2^8 + 
      253*T1^2*T2^8 - 308*T1^3*T2^8 - 1876*T1^4*T2^8 + 1148*T1^5*T2^8 - 
      2920*T1^6*T2^8 - 1742*T1^7*T2^8 + 3324*T1^8*T2^8 - 1742*T1^9*T2^8 - 
      2920*T1^10*T2^8 + 1148*T1^11*T2^8 - 1876*T1^12*T2^8 - 308*T1^13*T2^8 + 
      253*T1^14*T2^8 + 172*T1^15*T2^8 + 9*T1^16*T2^8 - 44*T1*T2^9 - 
      296*T1^2*T2^9 + T1^3*T2^9 + 952*T1^4*T2^9 + 890*T1^5*T2^9 - 
      532*T1^6*T2^9 + 4086*T1^7*T2^9 - 1742*T1^8*T2^9 - 1742*T1^9*T2^9 + 
      4086*T1^10*T2^9 - 532*T1^11*T2^9 + 890*T1^12*T2^9 + 952*T1^13*T2^9 + 
      T1^14*T2^9 - 296*T1^15*T2^9 - 44*T1^16*T2^9 + 104*T1^2*T2^10 + 
      340*T1^3*T2^10 - 640*T1^4*T2^10 - 445*T1^5*T2^10 - 524*T1^6*T2^10 - 
      532*T1^7*T2^10 - 2920*T1^8*T2^10 + 4086*T1^9*T2^10 - 2920*T1^10*T2^10 - 
      532*T1^11*T2^10 - 524*T1^12*T2^10 - 445*T1^13*T2^10 - 640*T1^14*T2^10 + 
      340*T1^15*T2^10 + 104*T1^16*T2^10 - 173*T1^3*T2^11 - 148*T1^4*T2^11 + 
      927*T1^5*T2^11 - 445*T1^6*T2^11 + 890*T1^7*T2^11 + 1148*T1^8*T2^11 - 
      532*T1^9*T2^11 - 532*T1^10*T2^11 + 1148*T1^11*T2^11 + 890*T1^12*T2^11 - 
      445*T1^13*T2^11 + 927*T1^14*T2^11 - 148*T1^15*T2^11 - 173*T1^16*T2^11 + 
      203*T1^4*T2^12 - 148*T1^5*T2^12 - 640*T1^6*T2^12 + 952*T1^7*T2^12 - 
      1876*T1^8*T2^12 + 890*T1^9*T2^12 - 524*T1^10*T2^12 + 890*T1^11*T2^12 - 
      1876*T1^12*T2^12 + 952*T1^13*T2^12 - 640*T1^14*T2^12 - 
      148*T1^15*T2^12 + 203*T1^16*T2^12 - 173*T1^5*T2^13 + 340*T1^6*T2^13 + 
      T1^7*T2^13 - 308*T1^8*T2^13 + 952*T1^9*T2^13 - 445*T1^10*T2^13 - 
      445*T1^11*T2^13 + 952*T1^12*T2^13 - 308*T1^13*T2^13 + T1^14*T2^13 + 
      340*T1^15*T2^13 - 173*T1^16*T2^13 + 104*T1^6*T2^14 - 296*T1^7*T2^14 + 
      253*T1^8*T2^14 + T1^9*T2^14 - 640*T1^10*T2^14 + 927*T1^11*T2^14 - 
      640*T1^12*T2^14 + T1^13*T2^14 + 253*T1^14*T2^14 - 296*T1^15*T2^14 + 
      104*T1^16*T2^14 - 44*T1^7*T2^15 + 172*T1^8*T2^15 - 296*T1^9*T2^15 + 
      340*T1^10*T2^15 - 148*T1^11*T2^15 - 148*T1^12*T2^15 + 340*T1^13*T2^15 - 
      296*T1^14*T2^15 + 172*T1^15*T2^15 - 44*T1^16*T2^15 + 9*T1^8*T2^16 - 
      44*T1^9*T2^16 + 104*T1^10*T2^16 - 173*T1^11*T2^16 + 203*T1^12*T2^16 - 
      173*T1^13*T2^16 + 104*T1^14*T2^16 - 44*T1^15*T2^16 + 9*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 640] -> 
  {-((3 - 14*T + 28*T^2 - 35*T^3 + 28*T^4 - 14*T^5 + 3*T^6)/T^3), 
   -((9 - 40*T1 + 80*T1^2 - 103*T1^3 + 80*T1^4 - 40*T1^5 + 9*T1^6 - 40*T2 + 
      138*T1*T2 - 178*T1^2*T2 + 102*T1^3*T2 + 102*T1^4*T2 - 178*T1^5*T2 + 
      138*T1^6*T2 - 40*T1^7*T2 + 80*T2^2 - 178*T1*T2^2 + 11*T1^2*T2^2 + 
      239*T1^3*T2^2 - 501*T1^4*T2^2 + 239*T1^5*T2^2 + 11*T1^6*T2^2 - 
      178*T1^7*T2^2 + 80*T1^8*T2^2 - 103*T2^3 + 102*T1*T2^3 + 239*T1^2*T2^3 - 
      186*T1^3*T2^3 + 247*T1^4*T2^3 + 247*T1^5*T2^3 - 186*T1^6*T2^3 + 
      239*T1^7*T2^3 + 102*T1^8*T2^3 - 103*T1^9*T2^3 + 80*T2^4 + 102*T1*T2^4 - 
      501*T1^2*T2^4 + 247*T1^3*T2^4 - 1078*T1^4*T2^4 + 984*T1^5*T2^4 - 
      1078*T1^6*T2^4 + 247*T1^7*T2^4 - 501*T1^8*T2^4 + 102*T1^9*T2^4 + 
      80*T1^10*T2^4 - 40*T2^5 - 178*T1*T2^5 + 239*T1^2*T2^5 + 247*T1^3*T2^5 + 
      984*T1^4*T2^5 - 198*T1^5*T2^5 - 198*T1^6*T2^5 + 984*T1^7*T2^5 + 
      247*T1^8*T2^5 + 239*T1^9*T2^5 - 178*T1^10*T2^5 - 40*T1^11*T2^5 + 
      9*T2^6 + 138*T1*T2^6 + 11*T1^2*T2^6 - 186*T1^3*T2^6 - 1078*T1^4*T2^6 - 
      198*T1^5*T2^6 + 144*T1^6*T2^6 - 198*T1^7*T2^6 - 1078*T1^8*T2^6 - 
      186*T1^9*T2^6 + 11*T1^10*T2^6 + 138*T1^11*T2^6 + 9*T1^12*T2^6 - 
      40*T1*T2^7 - 178*T1^2*T2^7 + 239*T1^3*T2^7 + 247*T1^4*T2^7 + 
      984*T1^5*T2^7 - 198*T1^6*T2^7 - 198*T1^7*T2^7 + 984*T1^8*T2^7 + 
      247*T1^9*T2^7 + 239*T1^10*T2^7 - 178*T1^11*T2^7 - 40*T1^12*T2^7 + 
      80*T1^2*T2^8 + 102*T1^3*T2^8 - 501*T1^4*T2^8 + 247*T1^5*T2^8 - 
      1078*T1^6*T2^8 + 984*T1^7*T2^8 - 1078*T1^8*T2^8 + 247*T1^9*T2^8 - 
      501*T1^10*T2^8 + 102*T1^11*T2^8 + 80*T1^12*T2^8 - 103*T1^3*T2^9 + 
      102*T1^4*T2^9 + 239*T1^5*T2^9 - 186*T1^6*T2^9 + 247*T1^7*T2^9 + 
      247*T1^8*T2^9 - 186*T1^9*T2^9 + 239*T1^10*T2^9 + 102*T1^11*T2^9 - 
      103*T1^12*T2^9 + 80*T1^4*T2^10 - 178*T1^5*T2^10 + 11*T1^6*T2^10 + 
      239*T1^7*T2^10 - 501*T1^8*T2^10 + 239*T1^9*T2^10 + 11*T1^10*T2^10 - 
      178*T1^11*T2^10 + 80*T1^12*T2^10 - 40*T1^5*T2^11 + 138*T1^6*T2^11 - 
      178*T1^7*T2^11 + 102*T1^8*T2^11 + 102*T1^9*T2^11 - 178*T1^10*T2^11 + 
      138*T1^11*T2^11 - 40*T1^12*T2^11 + 9*T1^6*T2^12 - 40*T1^7*T2^12 + 
      80*T1^8*T2^12 - 103*T1^9*T2^12 + 80*T1^10*T2^12 - 40*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, 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, -((15 - 45*T1 + 74*T1^2 - 88*T1^3 + 95*T1^4 - 88*T1^5 + 74*T1^6 - 
      45*T1^7 + 15*T1^8 - 45*T2 + 90*T1*T2 - 87*T1^2*T2 + 42*T1^3*T2 - 
      21*T1^4*T2 - 21*T1^5*T2 + 42*T1^6*T2 - 87*T1^7*T2 + 90*T1^8*T2 - 
      45*T1^9*T2 + 74*T2^2 - 87*T1*T2^2 + 23*T1^2*T2^2 + 46*T1^3*T2^2 - 
      17*T1^4*T2^2 + 49*T1^5*T2^2 - 17*T1^6*T2^2 + 46*T1^7*T2^2 + 
      23*T1^8*T2^2 - 87*T1^9*T2^2 + 74*T1^10*T2^2 - 88*T2^3 + 42*T1*T2^3 + 
      46*T1^2*T2^3 - 74*T1^3*T2^3 - 21*T1^4*T2^3 - 31*T1^5*T2^3 - 
      31*T1^6*T2^3 - 21*T1^7*T2^3 - 74*T1^8*T2^3 + 46*T1^9*T2^3 + 
      42*T1^10*T2^3 - 88*T1^11*T2^3 + 95*T2^4 - 21*T1*T2^4 - 17*T1^2*T2^4 - 
      21*T1^3*T2^4 + 135*T1^4*T2^4 - 35*T1^5*T2^4 + 109*T1^6*T2^4 - 
      35*T1^7*T2^4 + 135*T1^8*T2^4 - 21*T1^9*T2^4 - 17*T1^10*T2^4 - 
      21*T1^11*T2^4 + 95*T1^12*T2^4 - 88*T2^5 - 21*T1*T2^5 + 49*T1^2*T2^5 - 
      31*T1^3*T2^5 - 35*T1^4*T2^5 - 90*T1^5*T2^5 - 24*T1^6*T2^5 - 
      24*T1^7*T2^5 - 90*T1^8*T2^5 - 35*T1^9*T2^5 - 31*T1^10*T2^5 + 
      49*T1^11*T2^5 - 21*T1^12*T2^5 - 88*T1^13*T2^5 + 74*T2^6 + 42*T1*T2^6 - 
      17*T1^2*T2^6 - 31*T1^3*T2^6 + 109*T1^4*T2^6 - 24*T1^5*T2^6 + 
      162*T1^6*T2^6 - 100*T1^7*T2^6 + 162*T1^8*T2^6 - 24*T1^9*T2^6 + 
      109*T1^10*T2^6 - 31*T1^11*T2^6 - 17*T1^12*T2^6 + 42*T1^13*T2^6 + 
      74*T1^14*T2^6 - 45*T2^7 - 87*T1*T2^7 + 46*T1^2*T2^7 - 21*T1^3*T2^7 - 
      35*T1^4*T2^7 - 24*T1^5*T2^7 - 100*T1^6*T2^7 - 4*T1^7*T2^7 - 
      4*T1^8*T2^7 - 100*T1^9*T2^7 - 24*T1^10*T2^7 - 35*T1^11*T2^7 - 
      21*T1^12*T2^7 + 46*T1^13*T2^7 - 87*T1^14*T2^7 - 45*T1^15*T2^7 + 
      15*T2^8 + 90*T1*T2^8 + 23*T1^2*T2^8 - 74*T1^3*T2^8 + 135*T1^4*T2^8 - 
      90*T1^5*T2^8 + 162*T1^6*T2^8 - 4*T1^7*T2^8 + 24*T1^8*T2^8 - 
      4*T1^9*T2^8 + 162*T1^10*T2^8 - 90*T1^11*T2^8 + 135*T1^12*T2^8 - 
      74*T1^13*T2^8 + 23*T1^14*T2^8 + 90*T1^15*T2^8 + 15*T1^16*T2^8 - 
      45*T1*T2^9 - 87*T1^2*T2^9 + 46*T1^3*T2^9 - 21*T1^4*T2^9 - 
      35*T1^5*T2^9 - 24*T1^6*T2^9 - 100*T1^7*T2^9 - 4*T1^8*T2^9 - 
      4*T1^9*T2^9 - 100*T1^10*T2^9 - 24*T1^11*T2^9 - 35*T1^12*T2^9 - 
      21*T1^13*T2^9 + 46*T1^14*T2^9 - 87*T1^15*T2^9 - 45*T1^16*T2^9 + 
      74*T1^2*T2^10 + 42*T1^3*T2^10 - 17*T1^4*T2^10 - 31*T1^5*T2^10 + 
      109*T1^6*T2^10 - 24*T1^7*T2^10 + 162*T1^8*T2^10 - 100*T1^9*T2^10 + 
      162*T1^10*T2^10 - 24*T1^11*T2^10 + 109*T1^12*T2^10 - 31*T1^13*T2^10 - 
      17*T1^14*T2^10 + 42*T1^15*T2^10 + 74*T1^16*T2^10 - 88*T1^3*T2^11 - 
      21*T1^4*T2^11 + 49*T1^5*T2^11 - 31*T1^6*T2^11 - 35*T1^7*T2^11 - 
      90*T1^8*T2^11 - 24*T1^9*T2^11 - 24*T1^10*T2^11 - 90*T1^11*T2^11 - 
      35*T1^12*T2^11 - 31*T1^13*T2^11 + 49*T1^14*T2^11 - 21*T1^15*T2^11 - 
      88*T1^16*T2^11 + 95*T1^4*T2^12 - 21*T1^5*T2^12 - 17*T1^6*T2^12 - 
      21*T1^7*T2^12 + 135*T1^8*T2^12 - 35*T1^9*T2^12 + 109*T1^10*T2^12 - 
      35*T1^11*T2^12 + 135*T1^12*T2^12 - 21*T1^13*T2^12 - 17*T1^14*T2^12 - 
      21*T1^15*T2^12 + 95*T1^16*T2^12 - 88*T1^5*T2^13 + 42*T1^6*T2^13 + 
      46*T1^7*T2^13 - 74*T1^8*T2^13 - 21*T1^9*T2^13 - 31*T1^10*T2^13 - 
      31*T1^11*T2^13 - 21*T1^12*T2^13 - 74*T1^13*T2^13 + 46*T1^14*T2^13 + 
      42*T1^15*T2^13 - 88*T1^16*T2^13 + 74*T1^6*T2^14 - 87*T1^7*T2^14 + 
      23*T1^8*T2^14 + 46*T1^9*T2^14 - 17*T1^10*T2^14 + 49*T1^11*T2^14 - 
      17*T1^12*T2^14 + 46*T1^13*T2^14 + 23*T1^14*T2^14 - 87*T1^15*T2^14 + 
      74*T1^16*T2^14 - 45*T1^7*T2^15 + 90*T1^8*T2^15 - 87*T1^9*T2^15 + 
      42*T1^10*T2^15 - 21*T1^11*T2^15 - 21*T1^12*T2^15 + 42*T1^13*T2^15 - 
      87*T1^14*T2^15 + 90*T1^15*T2^15 - 45*T1^16*T2^15 + 15*T1^8*T2^16 - 
      45*T1^9*T2^16 + 74*T1^10*T2^16 - 88*T1^11*T2^16 + 95*T1^12*T2^16 - 
      88*T1^13*T2^16 + 74*T1^14*T2^16 - 45*T1^15*T2^16 + 15*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 642] -> 
  {(4 - 14*T + 25*T^2 - 29*T^3 + 25*T^4 - 14*T^5 + 4*T^6)/T^3, 
   -((64 - 220*T1 + 384*T1^2 - 440*T1^3 + 384*T1^4 - 220*T1^5 + 64*T1^6 - 
      220*T2 + 538*T1*T2 - 566*T1^2*T2 + 194*T1^3*T2 + 194*T1^4*T2 - 
      566*T1^5*T2 + 538*T1^6*T2 - 220*T1^7*T2 + 384*T2^2 - 566*T1*T2^2 + 
      17*T1^2*T2^2 + 830*T1^3*T2^2 - 975*T1^4*T2^2 + 830*T1^5*T2^2 + 
      17*T1^6*T2^2 - 566*T1^7*T2^2 + 384*T1^8*T2^2 - 440*T2^3 + 194*T1*T2^3 + 
      830*T1^2*T2^3 - 1400*T1^3*T2^3 + 452*T1^4*T2^3 + 452*T1^5*T2^3 - 
      1400*T1^6*T2^3 + 830*T1^7*T2^3 + 194*T1^8*T2^3 - 440*T1^9*T2^3 + 
      384*T2^4 + 194*T1*T2^4 - 975*T1^2*T2^4 + 452*T1^3*T2^4 + 
      1511*T1^4*T2^4 - 2071*T1^5*T2^4 + 1511*T1^6*T2^4 + 452*T1^7*T2^4 - 
      975*T1^8*T2^4 + 194*T1^9*T2^4 + 384*T1^10*T2^4 - 220*T2^5 - 
      566*T1*T2^5 + 830*T1^2*T2^5 + 452*T1^3*T2^5 - 2071*T1^4*T2^5 + 
      958*T1^5*T2^5 + 958*T1^6*T2^5 - 2071*T1^7*T2^5 + 452*T1^8*T2^5 + 
      830*T1^9*T2^5 - 566*T1^10*T2^5 - 220*T1^11*T2^5 + 64*T2^6 + 
      538*T1*T2^6 + 17*T1^2*T2^6 - 1400*T1^3*T2^6 + 1511*T1^4*T2^6 + 
      958*T1^5*T2^6 - 2100*T1^6*T2^6 + 958*T1^7*T2^6 + 1511*T1^8*T2^6 - 
      1400*T1^9*T2^6 + 17*T1^10*T2^6 + 538*T1^11*T2^6 + 64*T1^12*T2^6 - 
      220*T1*T2^7 - 566*T1^2*T2^7 + 830*T1^3*T2^7 + 452*T1^4*T2^7 - 
      2071*T1^5*T2^7 + 958*T1^6*T2^7 + 958*T1^7*T2^7 - 2071*T1^8*T2^7 + 
      452*T1^9*T2^7 + 830*T1^10*T2^7 - 566*T1^11*T2^7 - 220*T1^12*T2^7 + 
      384*T1^2*T2^8 + 194*T1^3*T2^8 - 975*T1^4*T2^8 + 452*T1^5*T2^8 + 
      1511*T1^6*T2^8 - 2071*T1^7*T2^8 + 1511*T1^8*T2^8 + 452*T1^9*T2^8 - 
      975*T1^10*T2^8 + 194*T1^11*T2^8 + 384*T1^12*T2^8 - 440*T1^3*T2^9 + 
      194*T1^4*T2^9 + 830*T1^5*T2^9 - 1400*T1^6*T2^9 + 452*T1^7*T2^9 + 
      452*T1^8*T2^9 - 1400*T1^9*T2^9 + 830*T1^10*T2^9 + 194*T1^11*T2^9 - 
      440*T1^12*T2^9 + 384*T1^4*T2^10 - 566*T1^5*T2^10 + 17*T1^6*T2^10 + 
      830*T1^7*T2^10 - 975*T1^8*T2^10 + 830*T1^9*T2^10 + 17*T1^10*T2^10 - 
      566*T1^11*T2^10 + 384*T1^12*T2^10 - 220*T1^5*T2^11 + 538*T1^6*T2^11 - 
      566*T1^7*T2^11 + 194*T1^8*T2^11 + 194*T1^9*T2^11 - 566*T1^10*T2^11 + 
      538*T1^11*T2^11 - 220*T1^12*T2^11 + 64*T1^6*T2^12 - 220*T1^7*T2^12 + 
      384*T1^8*T2^12 - 440*T1^9*T2^12 + 384*T1^10*T2^12 - 220*T1^11*T2^12 + 
      64*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 643] -> 
  {(4 - 13*T + 21*T^2 - 23*T^3 + 21*T^4 - 13*T^5 + 4*T^6)/T^3, 
   -((64 - 208*T1 + 332*T1^2 - 360*T1^3 + 332*T1^4 - 208*T1^5 + 64*T1^6 - 
      208*T2 + 468*T1*T2 - 404*T1^2*T2 + 92*T1^3*T2 + 92*T1^4*T2 - 
      404*T1^5*T2 + 468*T1^6*T2 - 208*T1^7*T2 + 332*T2^2 - 404*T1*T2^2 - 
      187*T1^2*T2^2 + 743*T1^3*T2^2 - 643*T1^4*T2^2 + 743*T1^5*T2^2 - 
      187*T1^6*T2^2 - 404*T1^7*T2^2 + 332*T1^8*T2^2 - 360*T2^3 + 92*T1*T2^3 + 
      743*T1^2*T2^3 - 886*T1^3*T2^3 + 96*T1^4*T2^3 + 96*T1^5*T2^3 - 
      886*T1^6*T2^3 + 743*T1^7*T2^3 + 92*T1^8*T2^3 - 360*T1^9*T2^3 + 
      332*T2^4 + 92*T1*T2^4 - 643*T1^2*T2^4 + 96*T1^3*T2^4 + 1034*T1^4*T2^4 - 
      950*T1^5*T2^4 + 1034*T1^6*T2^4 + 96*T1^7*T2^4 - 643*T1^8*T2^4 + 
      92*T1^9*T2^4 + 332*T1^10*T2^4 - 208*T2^5 - 404*T1*T2^5 + 
      743*T1^2*T2^5 + 96*T1^3*T2^5 - 950*T1^4*T2^5 + 232*T1^5*T2^5 + 
      232*T1^6*T2^5 - 950*T1^7*T2^5 + 96*T1^8*T2^5 + 743*T1^9*T2^5 - 
      404*T1^10*T2^5 - 208*T1^11*T2^5 + 64*T2^6 + 468*T1*T2^6 - 
      187*T1^2*T2^6 - 886*T1^3*T2^6 + 1034*T1^4*T2^6 + 232*T1^5*T2^6 - 
      444*T1^6*T2^6 + 232*T1^7*T2^6 + 1034*T1^8*T2^6 - 886*T1^9*T2^6 - 
      187*T1^10*T2^6 + 468*T1^11*T2^6 + 64*T1^12*T2^6 - 208*T1*T2^7 - 
      404*T1^2*T2^7 + 743*T1^3*T2^7 + 96*T1^4*T2^7 - 950*T1^5*T2^7 + 
      232*T1^6*T2^7 + 232*T1^7*T2^7 - 950*T1^8*T2^7 + 96*T1^9*T2^7 + 
      743*T1^10*T2^7 - 404*T1^11*T2^7 - 208*T1^12*T2^7 + 332*T1^2*T2^8 + 
      92*T1^3*T2^8 - 643*T1^4*T2^8 + 96*T1^5*T2^8 + 1034*T1^6*T2^8 - 
      950*T1^7*T2^8 + 1034*T1^8*T2^8 + 96*T1^9*T2^8 - 643*T1^10*T2^8 + 
      92*T1^11*T2^8 + 332*T1^12*T2^8 - 360*T1^3*T2^9 + 92*T1^4*T2^9 + 
      743*T1^5*T2^9 - 886*T1^6*T2^9 + 96*T1^7*T2^9 + 96*T1^8*T2^9 - 
      886*T1^9*T2^9 + 743*T1^10*T2^9 + 92*T1^11*T2^9 - 360*T1^12*T2^9 + 
      332*T1^4*T2^10 - 404*T1^5*T2^10 - 187*T1^6*T2^10 + 743*T1^7*T2^10 - 
      643*T1^8*T2^10 + 743*T1^9*T2^10 - 187*T1^10*T2^10 - 404*T1^11*T2^10 + 
      332*T1^12*T2^10 - 208*T1^5*T2^11 + 468*T1^6*T2^11 - 404*T1^7*T2^11 + 
      92*T1^8*T2^11 + 92*T1^9*T2^11 - 404*T1^10*T2^11 + 468*T1^11*T2^11 - 
      208*T1^12*T2^11 + 64*T1^6*T2^12 - 208*T1^7*T2^12 + 332*T1^8*T2^12 - 
      360*T1^9*T2^12 + 332*T1^10*T2^12 - 208*T1^11*T2^12 + 64*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, Alternating, 644] -> 
  {(8 - 28*T + 41*T^2 - 28*T^3 + 8*T^4)/T^2, 
   (-2*(32 - 112*T1 + 168*T1^2 - 112*T1^3 + 32*T1^4 - 112*T2 + 280*T1*T2 - 
      196*T1^2*T2 - 196*T1^3*T2 + 280*T1^4*T2 - 112*T1^5*T2 + 168*T2^2 - 
      196*T1*T2^2 - 267*T1^2*T2^2 + 784*T1^3*T2^2 - 267*T1^4*T2^2 - 
      196*T1^5*T2^2 + 168*T1^6*T2^2 - 112*T2^3 - 196*T1*T2^3 + 
      784*T1^2*T2^3 - 674*T1^3*T2^3 - 674*T1^4*T2^3 + 784*T1^5*T2^3 - 
      196*T1^6*T2^3 - 112*T1^7*T2^3 + 32*T2^4 + 280*T1*T2^4 - 267*T1^2*T2^4 - 
      674*T1^3*T2^4 + 1758*T1^4*T2^4 - 674*T1^5*T2^4 - 267*T1^6*T2^4 + 
      280*T1^7*T2^4 + 32*T1^8*T2^4 - 112*T1*T2^5 - 196*T1^2*T2^5 + 
      784*T1^3*T2^5 - 674*T1^4*T2^5 - 674*T1^5*T2^5 + 784*T1^6*T2^5 - 
      196*T1^7*T2^5 - 112*T1^8*T2^5 + 168*T1^2*T2^6 - 196*T1^3*T2^6 - 
      267*T1^4*T2^6 + 784*T1^5*T2^6 - 267*T1^6*T2^6 - 196*T1^7*T2^6 + 
      168*T1^8*T2^6 - 112*T1^3*T2^7 + 280*T1^4*T2^7 - 196*T1^5*T2^7 - 
      196*T1^6*T2^7 + 280*T1^7*T2^7 - 112*T1^8*T2^7 + 32*T1^4*T2^8 - 
      112*T1^5*T2^8 + 168*T1^6*T2^8 - 112*T1^7*T2^8 + 32*T1^8*T2^8))/
    (T1^4*T2^4)}, 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), -((9 - 48*T1 + 127*T1^2 - 224*T1^3 + 267*T1^4 - 224*T1^5 + 
      127*T1^6 - 48*T1^7 + 9*T1^8 - 48*T2 + 210*T1*T2 - 429*T1^2*T2 + 
      529*T1^3*T2 - 236*T1^4*T2 - 236*T1^5*T2 + 529*T1^6*T2 - 429*T1^7*T2 + 
      210*T1^8*T2 - 48*T1^9*T2 + 127*T2^2 - 429*T1*T2^2 + 572*T1^2*T2^2 - 
      224*T1^3*T2^2 - 885*T1^4*T2^2 + 1404*T1^5*T2^2 - 885*T1^6*T2^2 - 
      224*T1^7*T2^2 + 572*T1^8*T2^2 - 429*T1^9*T2^2 + 127*T1^10*T2^2 - 
      224*T2^3 + 529*T1*T2^3 - 224*T1^2*T2^3 - 694*T1^3*T2^3 + 
      2113*T1^4*T2^3 - 1016*T1^5*T2^3 - 1016*T1^6*T2^3 + 2113*T1^7*T2^3 - 
      694*T1^8*T2^3 - 224*T1^9*T2^3 + 529*T1^10*T2^3 - 224*T1^11*T2^3 + 
      267*T2^4 - 236*T1*T2^4 - 885*T1^2*T2^4 + 2113*T1^3*T2^4 - 
      3027*T1^4*T2^4 - 494*T1^5*T2^4 + 1999*T1^6*T2^4 - 494*T1^7*T2^4 - 
      3027*T1^8*T2^4 + 2113*T1^9*T2^4 - 885*T1^10*T2^4 - 236*T1^11*T2^4 + 
      267*T1^12*T2^4 - 224*T2^5 - 236*T1*T2^5 + 1404*T1^2*T2^5 - 
      1016*T1^3*T2^5 - 494*T1^4*T2^5 + 5936*T1^5*T2^5 - 2816*T1^6*T2^5 - 
      2816*T1^7*T2^5 + 5936*T1^8*T2^5 - 494*T1^9*T2^5 - 1016*T1^10*T2^5 + 
      1404*T1^11*T2^5 - 236*T1^12*T2^5 - 224*T1^13*T2^5 + 127*T2^6 + 
      529*T1*T2^6 - 885*T1^2*T2^6 - 1016*T1^3*T2^6 + 1999*T1^4*T2^6 - 
      2816*T1^5*T2^6 - 9011*T1^6*T2^6 + 13869*T1^7*T2^6 - 9011*T1^8*T2^6 - 
      2816*T1^9*T2^6 + 1999*T1^10*T2^6 - 1016*T1^11*T2^6 - 885*T1^12*T2^6 + 
      529*T1^13*T2^6 + 127*T1^14*T2^6 - 48*T2^7 - 429*T1*T2^7 - 
      224*T1^2*T2^7 + 2113*T1^3*T2^7 - 494*T1^4*T2^7 - 2816*T1^5*T2^7 + 
      13869*T1^6*T2^7 - 6488*T1^7*T2^7 - 6488*T1^8*T2^7 + 13869*T1^9*T2^7 - 
      2816*T1^10*T2^7 - 494*T1^11*T2^7 + 2113*T1^12*T2^7 - 224*T1^13*T2^7 - 
      429*T1^14*T2^7 - 48*T1^15*T2^7 + 9*T2^8 + 210*T1*T2^8 + 572*T1^2*T2^8 - 
      694*T1^3*T2^8 - 3027*T1^4*T2^8 + 5936*T1^5*T2^8 - 9011*T1^6*T2^8 - 
      6488*T1^7*T2^8 + 12960*T1^8*T2^8 - 6488*T1^9*T2^8 - 9011*T1^10*T2^8 + 
      5936*T1^11*T2^8 - 3027*T1^12*T2^8 - 694*T1^13*T2^8 + 572*T1^14*T2^8 + 
      210*T1^15*T2^8 + 9*T1^16*T2^8 - 48*T1*T2^9 - 429*T1^2*T2^9 - 
      224*T1^3*T2^9 + 2113*T1^4*T2^9 - 494*T1^5*T2^9 - 2816*T1^6*T2^9 + 
      13869*T1^7*T2^9 - 6488*T1^8*T2^9 - 6488*T1^9*T2^9 + 13869*T1^10*T2^9 - 
      2816*T1^11*T2^9 - 494*T1^12*T2^9 + 2113*T1^13*T2^9 - 224*T1^14*T2^9 - 
      429*T1^15*T2^9 - 48*T1^16*T2^9 + 127*T1^2*T2^10 + 529*T1^3*T2^10 - 
      885*T1^4*T2^10 - 1016*T1^5*T2^10 + 1999*T1^6*T2^10 - 2816*T1^7*T2^10 - 
      9011*T1^8*T2^10 + 13869*T1^9*T2^10 - 9011*T1^10*T2^10 - 
      2816*T1^11*T2^10 + 1999*T1^12*T2^10 - 1016*T1^13*T2^10 - 
      885*T1^14*T2^10 + 529*T1^15*T2^10 + 127*T1^16*T2^10 - 224*T1^3*T2^11 - 
      236*T1^4*T2^11 + 1404*T1^5*T2^11 - 1016*T1^6*T2^11 - 494*T1^7*T2^11 + 
      5936*T1^8*T2^11 - 2816*T1^9*T2^11 - 2816*T1^10*T2^11 + 
      5936*T1^11*T2^11 - 494*T1^12*T2^11 - 1016*T1^13*T2^11 + 
      1404*T1^14*T2^11 - 236*T1^15*T2^11 - 224*T1^16*T2^11 + 267*T1^4*T2^12 - 
      236*T1^5*T2^12 - 885*T1^6*T2^12 + 2113*T1^7*T2^12 - 3027*T1^8*T2^12 - 
      494*T1^9*T2^12 + 1999*T1^10*T2^12 - 494*T1^11*T2^12 - 
      3027*T1^12*T2^12 + 2113*T1^13*T2^12 - 885*T1^14*T2^12 - 
      236*T1^15*T2^12 + 267*T1^16*T2^12 - 224*T1^5*T2^13 + 529*T1^6*T2^13 - 
      224*T1^7*T2^13 - 694*T1^8*T2^13 + 2113*T1^9*T2^13 - 1016*T1^10*T2^13 - 
      1016*T1^11*T2^13 + 2113*T1^12*T2^13 - 694*T1^13*T2^13 - 
      224*T1^14*T2^13 + 529*T1^15*T2^13 - 224*T1^16*T2^13 + 127*T1^6*T2^14 - 
      429*T1^7*T2^14 + 572*T1^8*T2^14 - 224*T1^9*T2^14 - 885*T1^10*T2^14 + 
      1404*T1^11*T2^14 - 885*T1^12*T2^14 - 224*T1^13*T2^14 + 
      572*T1^14*T2^14 - 429*T1^15*T2^14 + 127*T1^16*T2^14 - 48*T1^7*T2^15 + 
      210*T1^8*T2^15 - 429*T1^9*T2^15 + 529*T1^10*T2^15 - 236*T1^11*T2^15 - 
      236*T1^12*T2^15 + 529*T1^13*T2^15 - 429*T1^14*T2^15 + 210*T1^15*T2^15 - 
      48*T1^16*T2^15 + 9*T1^8*T2^16 - 48*T1^9*T2^16 + 127*T1^10*T2^16 - 
      224*T1^11*T2^16 + 267*T1^12*T2^16 - 224*T1^13*T2^16 + 127*T1^14*T2^16 - 
      48*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   (1 - 4*T1 + 9*T1^2 - 15*T1^3 + 19*T1^4 - 15*T1^5 + 9*T1^6 - 4*T1^7 + 
     T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 24*T1^3*T2 - 16*T1^4*T2 - 
     16*T1^5*T2 + 24*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 9*T2^2 - 
     20*T1*T2^2 + 24*T1^2*T2^2 - 33*T1^3*T2^2 + 46*T1^4*T2^2 - 20*T1^5*T2^2 + 
     46*T1^6*T2^2 - 33*T1^7*T2^2 + 24*T1^8*T2^2 - 20*T1^9*T2^2 + 
     9*T1^10*T2^2 - 15*T2^3 + 24*T1*T2^3 - 33*T1^2*T2^3 + 98*T1^3*T2^3 - 
     164*T1^4*T2^3 + 39*T1^5*T2^3 + 39*T1^6*T2^3 - 164*T1^7*T2^3 + 
     98*T1^8*T2^3 - 33*T1^9*T2^3 + 24*T1^10*T2^3 - 15*T1^11*T2^3 + 19*T2^4 - 
     16*T1*T2^4 + 46*T1^2*T2^4 - 164*T1^3*T2^4 + 139*T1^4*T2^4 + 
     313*T1^5*T2^4 - 381*T1^6*T2^4 + 313*T1^7*T2^4 + 139*T1^8*T2^4 - 
     164*T1^9*T2^4 + 46*T1^10*T2^4 - 16*T1^11*T2^4 + 19*T1^12*T2^4 - 
     15*T2^5 - 16*T1*T2^5 - 20*T1^2*T2^5 + 39*T1^3*T2^5 + 313*T1^4*T2^5 - 
     948*T1^5*T2^5 + 297*T1^6*T2^5 + 297*T1^7*T2^5 - 948*T1^8*T2^5 + 
     313*T1^9*T2^5 + 39*T1^10*T2^5 - 20*T1^11*T2^5 - 16*T1^12*T2^5 - 
     15*T1^13*T2^5 + 9*T2^6 + 24*T1*T2^6 + 46*T1^2*T2^6 + 39*T1^3*T2^6 - 
     381*T1^4*T2^6 + 297*T1^5*T2^6 + 1478*T1^6*T2^6 - 1716*T1^7*T2^6 + 
     1478*T1^8*T2^6 + 297*T1^9*T2^6 - 381*T1^10*T2^6 + 39*T1^11*T2^6 + 
     46*T1^12*T2^6 + 24*T1^13*T2^6 + 9*T1^14*T2^6 - 4*T2^7 - 20*T1*T2^7 - 
     33*T1^2*T2^7 - 164*T1^3*T2^7 + 313*T1^4*T2^7 + 297*T1^5*T2^7 - 
     1716*T1^6*T2^7 + 380*T1^7*T2^7 + 380*T1^8*T2^7 - 1716*T1^9*T2^7 + 
     297*T1^10*T2^7 + 313*T1^11*T2^7 - 164*T1^12*T2^7 - 33*T1^13*T2^7 - 
     20*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 24*T1^2*T2^8 + 
     98*T1^3*T2^8 + 139*T1^4*T2^8 - 948*T1^5*T2^8 + 1478*T1^6*T2^8 + 
     380*T1^7*T2^8 - 228*T1^8*T2^8 + 380*T1^9*T2^8 + 1478*T1^10*T2^8 - 
     948*T1^11*T2^8 + 139*T1^12*T2^8 + 98*T1^13*T2^8 + 24*T1^14*T2^8 + 
     12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 20*T1^2*T2^9 - 33*T1^3*T2^9 - 
     164*T1^4*T2^9 + 313*T1^5*T2^9 + 297*T1^6*T2^9 - 1716*T1^7*T2^9 + 
     380*T1^8*T2^9 + 380*T1^9*T2^9 - 1716*T1^10*T2^9 + 297*T1^11*T2^9 + 
     313*T1^12*T2^9 - 164*T1^13*T2^9 - 33*T1^14*T2^9 - 20*T1^15*T2^9 - 
     4*T1^16*T2^9 + 9*T1^2*T2^10 + 24*T1^3*T2^10 + 46*T1^4*T2^10 + 
     39*T1^5*T2^10 - 381*T1^6*T2^10 + 297*T1^7*T2^10 + 1478*T1^8*T2^10 - 
     1716*T1^9*T2^10 + 1478*T1^10*T2^10 + 297*T1^11*T2^10 - 381*T1^12*T2^10 + 
     39*T1^13*T2^10 + 46*T1^14*T2^10 + 24*T1^15*T2^10 + 9*T1^16*T2^10 - 
     15*T1^3*T2^11 - 16*T1^4*T2^11 - 20*T1^5*T2^11 + 39*T1^6*T2^11 + 
     313*T1^7*T2^11 - 948*T1^8*T2^11 + 297*T1^9*T2^11 + 297*T1^10*T2^11 - 
     948*T1^11*T2^11 + 313*T1^12*T2^11 + 39*T1^13*T2^11 - 20*T1^14*T2^11 - 
     16*T1^15*T2^11 - 15*T1^16*T2^11 + 19*T1^4*T2^12 - 16*T1^5*T2^12 + 
     46*T1^6*T2^12 - 164*T1^7*T2^12 + 139*T1^8*T2^12 + 313*T1^9*T2^12 - 
     381*T1^10*T2^12 + 313*T1^11*T2^12 + 139*T1^12*T2^12 - 164*T1^13*T2^12 + 
     46*T1^14*T2^12 - 16*T1^15*T2^12 + 19*T1^16*T2^12 - 15*T1^5*T2^13 + 
     24*T1^6*T2^13 - 33*T1^7*T2^13 + 98*T1^8*T2^13 - 164*T1^9*T2^13 + 
     39*T1^10*T2^13 + 39*T1^11*T2^13 - 164*T1^12*T2^13 + 98*T1^13*T2^13 - 
     33*T1^14*T2^13 + 24*T1^15*T2^13 - 15*T1^16*T2^13 + 9*T1^6*T2^14 - 
     20*T1^7*T2^14 + 24*T1^8*T2^14 - 33*T1^9*T2^14 + 46*T1^10*T2^14 - 
     20*T1^11*T2^14 + 46*T1^12*T2^14 - 33*T1^13*T2^14 + 24*T1^14*T2^14 - 
     20*T1^15*T2^14 + 9*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 
     20*T1^9*T2^15 + 24*T1^10*T2^15 - 16*T1^11*T2^15 - 16*T1^12*T2^15 + 
     24*T1^13*T2^15 - 20*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + 
     T1^8*T2^16 - 4*T1^9*T2^16 + 9*T1^10*T2^16 - 15*T1^11*T2^16 + 
     19*T1^12*T2^16 - 15*T1^13*T2^16 + 9*T1^14*T2^16 - 4*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, 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)*
     (111 - 251*T1 + 352*T1^2 - 385*T1^3 + 352*T1^4 - 251*T1^5 + 111*T1^6 - 
      251*T2 + 326*T1*T2 - 242*T1^2*T2 + 81*T1^3*T2 + 81*T1^4*T2 - 
      242*T1^5*T2 + 326*T1^6*T2 - 251*T1^7*T2 + 352*T2^2 - 242*T1*T2^2 + 
      128*T1^2*T2^2 - 84*T1^3*T2^2 + 104*T1^4*T2^2 - 84*T1^5*T2^2 + 
      128*T1^6*T2^2 - 242*T1^7*T2^2 + 352*T1^8*T2^2 - 385*T2^3 + 81*T1*T2^3 - 
      84*T1^2*T2^3 + 94*T1^3*T2^3 - 71*T1^4*T2^3 - 71*T1^5*T2^3 + 
      94*T1^6*T2^3 - 84*T1^7*T2^3 + 81*T1^8*T2^3 - 385*T1^9*T2^3 + 352*T2^4 + 
      81*T1*T2^4 + 104*T1^2*T2^4 - 71*T1^3*T2^4 + 14*T1^4*T2^4 + 
      100*T1^5*T2^4 + 14*T1^6*T2^4 - 71*T1^7*T2^4 + 104*T1^8*T2^4 + 
      81*T1^9*T2^4 + 352*T1^10*T2^4 - 251*T2^5 - 242*T1*T2^5 - 84*T1^2*T2^5 - 
      71*T1^3*T2^5 + 100*T1^4*T2^5 - 106*T1^5*T2^5 - 106*T1^6*T2^5 + 
      100*T1^7*T2^5 - 71*T1^8*T2^5 - 84*T1^9*T2^5 - 242*T1^10*T2^5 - 
      251*T1^11*T2^5 + 111*T2^6 + 326*T1*T2^6 + 128*T1^2*T2^6 + 
      94*T1^3*T2^6 + 14*T1^4*T2^6 - 106*T1^5*T2^6 + 264*T1^6*T2^6 - 
      106*T1^7*T2^6 + 14*T1^8*T2^6 + 94*T1^9*T2^6 + 128*T1^10*T2^6 + 
      326*T1^11*T2^6 + 111*T1^12*T2^6 - 251*T1*T2^7 - 242*T1^2*T2^7 - 
      84*T1^3*T2^7 - 71*T1^4*T2^7 + 100*T1^5*T2^7 - 106*T1^6*T2^7 - 
      106*T1^7*T2^7 + 100*T1^8*T2^7 - 71*T1^9*T2^7 - 84*T1^10*T2^7 - 
      242*T1^11*T2^7 - 251*T1^12*T2^7 + 352*T1^2*T2^8 + 81*T1^3*T2^8 + 
      104*T1^4*T2^8 - 71*T1^5*T2^8 + 14*T1^6*T2^8 + 100*T1^7*T2^8 + 
      14*T1^8*T2^8 - 71*T1^9*T2^8 + 104*T1^10*T2^8 + 81*T1^11*T2^8 + 
      352*T1^12*T2^8 - 385*T1^3*T2^9 + 81*T1^4*T2^9 - 84*T1^5*T2^9 + 
      94*T1^6*T2^9 - 71*T1^7*T2^9 - 71*T1^8*T2^9 + 94*T1^9*T2^9 - 
      84*T1^10*T2^9 + 81*T1^11*T2^9 - 385*T1^12*T2^9 + 352*T1^4*T2^10 - 
      242*T1^5*T2^10 + 128*T1^6*T2^10 - 84*T1^7*T2^10 + 104*T1^8*T2^10 - 
      84*T1^9*T2^10 + 128*T1^10*T2^10 - 242*T1^11*T2^10 + 352*T1^12*T2^10 - 
      251*T1^5*T2^11 + 326*T1^6*T2^11 - 242*T1^7*T2^11 + 81*T1^8*T2^11 + 
      81*T1^9*T2^11 - 242*T1^10*T2^11 + 326*T1^11*T2^11 - 251*T1^12*T2^11 + 
      111*T1^6*T2^12 - 251*T1^7*T2^12 + 352*T1^8*T2^12 - 385*T1^9*T2^12 + 
      352*T1^10*T2^12 - 251*T1^11*T2^12 + 111*T1^12*T2^12))/(T1^8*T2^8)}, 
 Knot[12, Alternating, 648] -> 
  {((1 - T + T^2)*(5 - 12*T + 15*T^2 - 12*T^3 + 5*T^4))/T^3, 
   (415 - 1381*T1 + 2580*T1^2 - 3137*T1^3 + 2580*T1^4 - 1381*T1^5 + 
     415*T1^6 - 1381*T2 + 3238*T1*T2 - 4025*T1^2*T2 + 1871*T1^3*T2 + 
     1871*T1^4*T2 - 4025*T1^5*T2 + 3238*T1^6*T2 - 1381*T1^7*T2 + 2580*T2^2 - 
     4025*T1*T2^2 + 3055*T1^2*T2^2 + 1256*T1^3*T2^2 - 3701*T1^4*T2^2 + 
     1256*T1^5*T2^2 + 3055*T1^6*T2^2 - 4025*T1^7*T2^2 + 2580*T1^8*T2^2 - 
     3137*T2^3 + 1871*T1*T2^3 + 1256*T1^2*T2^3 - 5472*T1^3*T2^3 + 
     3120*T1^4*T2^3 + 3120*T1^5*T2^3 - 5472*T1^6*T2^3 + 1256*T1^7*T2^3 + 
     1871*T1^8*T2^3 - 3137*T1^9*T2^3 + 2580*T2^4 + 1871*T1*T2^4 - 
     3701*T1^2*T2^4 + 3120*T1^3*T2^4 + 5405*T1^4*T2^4 - 10303*T1^5*T2^4 + 
     5405*T1^6*T2^4 + 3120*T1^7*T2^4 - 3701*T1^8*T2^4 + 1871*T1^9*T2^4 + 
     2580*T1^10*T2^4 - 1381*T2^5 - 4025*T1*T2^5 + 1256*T1^2*T2^5 + 
     3120*T1^3*T2^5 - 10303*T1^4*T2^5 + 5662*T1^5*T2^5 + 5662*T1^6*T2^5 - 
     10303*T1^7*T2^5 + 3120*T1^8*T2^5 + 1256*T1^9*T2^5 - 4025*T1^10*T2^5 - 
     1381*T1^11*T2^5 + 415*T2^6 + 3238*T1*T2^6 + 3055*T1^2*T2^6 - 
     5472*T1^3*T2^6 + 5405*T1^4*T2^6 + 5662*T1^5*T2^6 - 12024*T1^6*T2^6 + 
     5662*T1^7*T2^6 + 5405*T1^8*T2^6 - 5472*T1^9*T2^6 + 3055*T1^10*T2^6 + 
     3238*T1^11*T2^6 + 415*T1^12*T2^6 - 1381*T1*T2^7 - 4025*T1^2*T2^7 + 
     1256*T1^3*T2^7 + 3120*T1^4*T2^7 - 10303*T1^5*T2^7 + 5662*T1^6*T2^7 + 
     5662*T1^7*T2^7 - 10303*T1^8*T2^7 + 3120*T1^9*T2^7 + 1256*T1^10*T2^7 - 
     4025*T1^11*T2^7 - 1381*T1^12*T2^7 + 2580*T1^2*T2^8 + 1871*T1^3*T2^8 - 
     3701*T1^4*T2^8 + 3120*T1^5*T2^8 + 5405*T1^6*T2^8 - 10303*T1^7*T2^8 + 
     5405*T1^8*T2^8 + 3120*T1^9*T2^8 - 3701*T1^10*T2^8 + 1871*T1^11*T2^8 + 
     2580*T1^12*T2^8 - 3137*T1^3*T2^9 + 1871*T1^4*T2^9 + 1256*T1^5*T2^9 - 
     5472*T1^6*T2^9 + 3120*T1^7*T2^9 + 3120*T1^8*T2^9 - 5472*T1^9*T2^9 + 
     1256*T1^10*T2^9 + 1871*T1^11*T2^9 - 3137*T1^12*T2^9 + 2580*T1^4*T2^10 - 
     4025*T1^5*T2^10 + 3055*T1^6*T2^10 + 1256*T1^7*T2^10 - 3701*T1^8*T2^10 + 
     1256*T1^9*T2^10 + 3055*T1^10*T2^10 - 4025*T1^11*T2^10 + 
     2580*T1^12*T2^10 - 1381*T1^5*T2^11 + 3238*T1^6*T2^11 - 4025*T1^7*T2^11 + 
     1871*T1^8*T2^11 + 1871*T1^9*T2^11 - 4025*T1^10*T2^11 + 
     3238*T1^11*T2^11 - 1381*T1^12*T2^11 + 415*T1^6*T2^12 - 1381*T1^7*T2^12 + 
     2580*T1^8*T2^12 - 3137*T1^9*T2^12 + 2580*T1^10*T2^12 - 
     1381*T1^11*T2^12 + 415*T1^12*T2^12)/(T1^6*T2^6)}, 
 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), (1 - 7*T1 + 17*T1^2 - 25*T1^3 + 27*T1^4 - 25*T1^5 + 17*T1^6 - 
     7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 70*T1^2*T2 + 56*T1^3*T2 - 14*T1^4*T2 - 
     14*T1^5*T2 + 56*T1^6*T2 - 70*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 
     17*T2^2 - 70*T1*T2^2 - 37*T1^2*T2^2 + 291*T1^3*T2^2 - 483*T1^4*T2^2 + 
     481*T1^5*T2^2 - 483*T1^6*T2^2 + 291*T1^7*T2^2 - 37*T1^8*T2^2 - 
     70*T1^9*T2^2 + 17*T1^10*T2^2 - 25*T2^3 + 56*T1*T2^3 + 291*T1^2*T2^3 - 
     612*T1^3*T2^3 + 500*T1^4*T2^3 - 68*T1^5*T2^3 - 68*T1^6*T2^3 + 
     500*T1^7*T2^3 - 612*T1^8*T2^3 + 291*T1^9*T2^3 + 56*T1^10*T2^3 - 
     25*T1^11*T2^3 + 27*T2^4 - 14*T1*T2^4 - 483*T1^2*T2^4 + 500*T1^3*T2^4 + 
     77*T1^4*T2^4 - 649*T1^5*T2^4 + 439*T1^6*T2^4 - 649*T1^7*T2^4 + 
     77*T1^8*T2^4 + 500*T1^9*T2^4 - 483*T1^10*T2^4 - 14*T1^11*T2^4 + 
     27*T1^12*T2^4 - 25*T2^5 - 14*T1*T2^5 + 481*T1^2*T2^5 - 68*T1^3*T2^5 - 
     649*T1^4*T2^5 + 850*T1^5*T2^5 - 50*T1^6*T2^5 - 50*T1^7*T2^5 + 
     850*T1^8*T2^5 - 649*T1^9*T2^5 - 68*T1^10*T2^5 + 481*T1^11*T2^5 - 
     14*T1^12*T2^5 - 25*T1^13*T2^5 + 17*T2^6 + 56*T1*T2^6 - 483*T1^2*T2^6 - 
     68*T1^3*T2^6 + 439*T1^4*T2^6 - 50*T1^5*T2^6 - 1062*T1^6*T2^6 + 
     972*T1^7*T2^6 - 1062*T1^8*T2^6 - 50*T1^9*T2^6 + 439*T1^10*T2^6 - 
     68*T1^11*T2^6 - 483*T1^12*T2^6 + 56*T1^13*T2^6 + 17*T1^14*T2^6 - 
     7*T2^7 - 70*T1*T2^7 + 291*T1^2*T2^7 + 500*T1^3*T2^7 - 649*T1^4*T2^7 - 
     50*T1^5*T2^7 + 972*T1^6*T2^7 - 264*T1^7*T2^7 - 264*T1^8*T2^7 + 
     972*T1^9*T2^7 - 50*T1^10*T2^7 - 649*T1^11*T2^7 + 500*T1^12*T2^7 + 
     291*T1^13*T2^7 - 70*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 - 
     37*T1^2*T2^8 - 612*T1^3*T2^8 + 77*T1^4*T2^8 + 850*T1^5*T2^8 - 
     1062*T1^6*T2^8 - 264*T1^7*T2^8 + 540*T1^8*T2^8 - 264*T1^9*T2^8 - 
     1062*T1^10*T2^8 + 850*T1^11*T2^8 + 77*T1^12*T2^8 - 612*T1^13*T2^8 - 
     37*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 70*T1^2*T2^9 + 
     291*T1^3*T2^9 + 500*T1^4*T2^9 - 649*T1^5*T2^9 - 50*T1^6*T2^9 + 
     972*T1^7*T2^9 - 264*T1^8*T2^9 - 264*T1^9*T2^9 + 972*T1^10*T2^9 - 
     50*T1^11*T2^9 - 649*T1^12*T2^9 + 500*T1^13*T2^9 + 291*T1^14*T2^9 - 
     70*T1^15*T2^9 - 7*T1^16*T2^9 + 17*T1^2*T2^10 + 56*T1^3*T2^10 - 
     483*T1^4*T2^10 - 68*T1^5*T2^10 + 439*T1^6*T2^10 - 50*T1^7*T2^10 - 
     1062*T1^8*T2^10 + 972*T1^9*T2^10 - 1062*T1^10*T2^10 - 50*T1^11*T2^10 + 
     439*T1^12*T2^10 - 68*T1^13*T2^10 - 483*T1^14*T2^10 + 56*T1^15*T2^10 + 
     17*T1^16*T2^10 - 25*T1^3*T2^11 - 14*T1^4*T2^11 + 481*T1^5*T2^11 - 
     68*T1^6*T2^11 - 649*T1^7*T2^11 + 850*T1^8*T2^11 - 50*T1^9*T2^11 - 
     50*T1^10*T2^11 + 850*T1^11*T2^11 - 649*T1^12*T2^11 - 68*T1^13*T2^11 + 
     481*T1^14*T2^11 - 14*T1^15*T2^11 - 25*T1^16*T2^11 + 27*T1^4*T2^12 - 
     14*T1^5*T2^12 - 483*T1^6*T2^12 + 500*T1^7*T2^12 + 77*T1^8*T2^12 - 
     649*T1^9*T2^12 + 439*T1^10*T2^12 - 649*T1^11*T2^12 + 77*T1^12*T2^12 + 
     500*T1^13*T2^12 - 483*T1^14*T2^12 - 14*T1^15*T2^12 + 27*T1^16*T2^12 - 
     25*T1^5*T2^13 + 56*T1^6*T2^13 + 291*T1^7*T2^13 - 612*T1^8*T2^13 + 
     500*T1^9*T2^13 - 68*T1^10*T2^13 - 68*T1^11*T2^13 + 500*T1^12*T2^13 - 
     612*T1^13*T2^13 + 291*T1^14*T2^13 + 56*T1^15*T2^13 - 25*T1^16*T2^13 + 
     17*T1^6*T2^14 - 70*T1^7*T2^14 - 37*T1^8*T2^14 + 291*T1^9*T2^14 - 
     483*T1^10*T2^14 + 481*T1^11*T2^14 - 483*T1^12*T2^14 + 291*T1^13*T2^14 - 
     37*T1^14*T2^14 - 70*T1^15*T2^14 + 17*T1^16*T2^14 - 7*T1^7*T2^15 + 
     42*T1^8*T2^15 - 70*T1^9*T2^15 + 56*T1^10*T2^15 - 14*T1^11*T2^15 - 
     14*T1^12*T2^15 + 56*T1^13*T2^15 - 70*T1^14*T2^15 + 42*T1^15*T2^15 - 
     7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 17*T1^10*T2^16 - 
     25*T1^11*T2^16 + 27*T1^12*T2^16 - 25*T1^13*T2^16 + 17*T1^14*T2^16 - 
     7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 650] -> 
  {-((2 - 15*T + 39*T^2 - 53*T^3 + 39*T^4 - 15*T^5 + 2*T^6)/T^3), 
   (1 - 7*T1 + 17*T1^2 - 23*T1^3 + 17*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
     42*T1*T2 - 70*T1^2*T2 + 42*T1^3*T2 + 42*T1^4*T2 - 70*T1^5*T2 + 
     42*T1^6*T2 - 7*T1^7*T2 + 17*T2^2 - 70*T1*T2^2 - 31*T1^2*T2^2 + 
     303*T1^3*T2^2 - 525*T1^4*T2^2 + 303*T1^5*T2^2 - 31*T1^6*T2^2 - 
     70*T1^7*T2^2 + 17*T1^8*T2^2 - 23*T2^3 + 42*T1*T2^3 + 303*T1^2*T2^3 - 
     604*T1^3*T2^3 + 448*T1^4*T2^3 + 448*T1^5*T2^3 - 604*T1^6*T2^3 + 
     303*T1^7*T2^3 + 42*T1^8*T2^3 - 23*T1^9*T2^3 + 17*T2^4 + 42*T1*T2^4 - 
     525*T1^2*T2^4 + 448*T1^3*T2^4 - 40*T1^4*T2^4 - 744*T1^5*T2^4 - 
     40*T1^6*T2^4 + 448*T1^7*T2^4 - 525*T1^8*T2^4 + 42*T1^9*T2^4 + 
     17*T1^10*T2^4 - 7*T2^5 - 70*T1*T2^5 + 303*T1^2*T2^5 + 448*T1^3*T2^5 - 
     744*T1^4*T2^5 + 832*T1^5*T2^5 + 832*T1^6*T2^5 - 744*T1^7*T2^5 + 
     448*T1^8*T2^5 + 303*T1^9*T2^5 - 70*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
     42*T1*T2^6 - 31*T1^2*T2^6 - 604*T1^3*T2^6 - 40*T1^4*T2^6 + 
     832*T1^5*T2^6 - 2244*T1^6*T2^6 + 832*T1^7*T2^6 - 40*T1^8*T2^6 - 
     604*T1^9*T2^6 - 31*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 7*T1*T2^7 - 
     70*T1^2*T2^7 + 303*T1^3*T2^7 + 448*T1^4*T2^7 - 744*T1^5*T2^7 + 
     832*T1^6*T2^7 + 832*T1^7*T2^7 - 744*T1^8*T2^7 + 448*T1^9*T2^7 + 
     303*T1^10*T2^7 - 70*T1^11*T2^7 - 7*T1^12*T2^7 + 17*T1^2*T2^8 + 
     42*T1^3*T2^8 - 525*T1^4*T2^8 + 448*T1^5*T2^8 - 40*T1^6*T2^8 - 
     744*T1^7*T2^8 - 40*T1^8*T2^8 + 448*T1^9*T2^8 - 525*T1^10*T2^8 + 
     42*T1^11*T2^8 + 17*T1^12*T2^8 - 23*T1^3*T2^9 + 42*T1^4*T2^9 + 
     303*T1^5*T2^9 - 604*T1^6*T2^9 + 448*T1^7*T2^9 + 448*T1^8*T2^9 - 
     604*T1^9*T2^9 + 303*T1^10*T2^9 + 42*T1^11*T2^9 - 23*T1^12*T2^9 + 
     17*T1^4*T2^10 - 70*T1^5*T2^10 - 31*T1^6*T2^10 + 303*T1^7*T2^10 - 
     525*T1^8*T2^10 + 303*T1^9*T2^10 - 31*T1^10*T2^10 - 70*T1^11*T2^10 + 
     17*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 70*T1^7*T2^11 + 
     42*T1^8*T2^11 + 42*T1^9*T2^11 - 70*T1^10*T2^11 + 42*T1^11*T2^11 - 
     7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 17*T1^8*T2^12 - 
     23*T1^9*T2^12 + 17*T1^10*T2^12 - 7*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   (2 - 14*T1 + 30*T1^2 - 34*T1^3 + 34*T1^4 - 34*T1^5 + 30*T1^6 - 14*T1^7 + 
     2*T1^8 - 14*T2 + 84*T1*T2 - 112*T1^2*T2 + 28*T1^3*T2 + 28*T1^6*T2 - 
     112*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 30*T2^2 - 112*T1*T2^2 - 
     206*T1^2*T2^2 + 750*T1^3*T2^2 - 710*T1^4*T2^2 + 652*T1^5*T2^2 - 
     710*T1^6*T2^2 + 750*T1^7*T2^2 - 206*T1^8*T2^2 - 112*T1^9*T2^2 + 
     30*T1^10*T2^2 - 34*T2^3 + 28*T1*T2^3 + 750*T1^2*T2^3 - 1154*T1^3*T2^3 + 
     124*T1^4*T2^3 + 54*T1^5*T2^3 + 54*T1^6*T2^3 + 124*T1^7*T2^3 - 
     1154*T1^8*T2^3 + 750*T1^9*T2^3 + 28*T1^10*T2^3 - 34*T1^11*T2^3 + 
     34*T2^4 - 710*T1^2*T2^4 + 124*T1^3*T2^4 + 1701*T1^4*T2^4 - 
     1163*T1^5*T2^4 + 907*T1^6*T2^4 - 1163*T1^7*T2^4 + 1701*T1^8*T2^4 + 
     124*T1^9*T2^4 - 710*T1^10*T2^4 + 34*T1^12*T2^4 - 34*T2^5 + 
     652*T1^2*T2^5 + 54*T1^3*T2^5 - 1163*T1^4*T2^5 - 286*T1^5*T2^5 + 
     158*T1^6*T2^5 + 158*T1^7*T2^5 - 286*T1^8*T2^5 - 1163*T1^9*T2^5 + 
     54*T1^10*T2^5 + 652*T1^11*T2^5 - 34*T1^13*T2^5 + 30*T2^6 + 28*T1*T2^6 - 
     710*T1^2*T2^6 + 54*T1^3*T2^6 + 907*T1^4*T2^6 + 158*T1^5*T2^6 + 
     625*T1^6*T2^6 - 719*T1^7*T2^6 + 625*T1^8*T2^6 + 158*T1^9*T2^6 + 
     907*T1^10*T2^6 + 54*T1^11*T2^6 - 710*T1^12*T2^6 + 28*T1^13*T2^6 + 
     30*T1^14*T2^6 - 14*T2^7 - 112*T1*T2^7 + 750*T1^2*T2^7 + 124*T1^3*T2^7 - 
     1163*T1^4*T2^7 + 158*T1^5*T2^7 - 719*T1^6*T2^7 + 192*T1^7*T2^7 + 
     192*T1^8*T2^7 - 719*T1^9*T2^7 + 158*T1^10*T2^7 - 1163*T1^11*T2^7 + 
     124*T1^12*T2^7 + 750*T1^13*T2^7 - 112*T1^14*T2^7 - 14*T1^15*T2^7 + 
     2*T2^8 + 84*T1*T2^8 - 206*T1^2*T2^8 - 1154*T1^3*T2^8 + 1701*T1^4*T2^8 - 
     286*T1^5*T2^8 + 625*T1^6*T2^8 + 192*T1^7*T2^8 - 324*T1^8*T2^8 + 
     192*T1^9*T2^8 + 625*T1^10*T2^8 - 286*T1^11*T2^8 + 1701*T1^12*T2^8 - 
     1154*T1^13*T2^8 - 206*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 
     14*T1*T2^9 - 112*T1^2*T2^9 + 750*T1^3*T2^9 + 124*T1^4*T2^9 - 
     1163*T1^5*T2^9 + 158*T1^6*T2^9 - 719*T1^7*T2^9 + 192*T1^8*T2^9 + 
     192*T1^9*T2^9 - 719*T1^10*T2^9 + 158*T1^11*T2^9 - 1163*T1^12*T2^9 + 
     124*T1^13*T2^9 + 750*T1^14*T2^9 - 112*T1^15*T2^9 - 14*T1^16*T2^9 + 
     30*T1^2*T2^10 + 28*T1^3*T2^10 - 710*T1^4*T2^10 + 54*T1^5*T2^10 + 
     907*T1^6*T2^10 + 158*T1^7*T2^10 + 625*T1^8*T2^10 - 719*T1^9*T2^10 + 
     625*T1^10*T2^10 + 158*T1^11*T2^10 + 907*T1^12*T2^10 + 54*T1^13*T2^10 - 
     710*T1^14*T2^10 + 28*T1^15*T2^10 + 30*T1^16*T2^10 - 34*T1^3*T2^11 + 
     652*T1^5*T2^11 + 54*T1^6*T2^11 - 1163*T1^7*T2^11 - 286*T1^8*T2^11 + 
     158*T1^9*T2^11 + 158*T1^10*T2^11 - 286*T1^11*T2^11 - 1163*T1^12*T2^11 + 
     54*T1^13*T2^11 + 652*T1^14*T2^11 - 34*T1^16*T2^11 + 34*T1^4*T2^12 - 
     710*T1^6*T2^12 + 124*T1^7*T2^12 + 1701*T1^8*T2^12 - 1163*T1^9*T2^12 + 
     907*T1^10*T2^12 - 1163*T1^11*T2^12 + 1701*T1^12*T2^12 + 
     124*T1^13*T2^12 - 710*T1^14*T2^12 + 34*T1^16*T2^12 - 34*T1^5*T2^13 + 
     28*T1^6*T2^13 + 750*T1^7*T2^13 - 1154*T1^8*T2^13 + 124*T1^9*T2^13 + 
     54*T1^10*T2^13 + 54*T1^11*T2^13 + 124*T1^12*T2^13 - 1154*T1^13*T2^13 + 
     750*T1^14*T2^13 + 28*T1^15*T2^13 - 34*T1^16*T2^13 + 30*T1^6*T2^14 - 
     112*T1^7*T2^14 - 206*T1^8*T2^14 + 750*T1^9*T2^14 - 710*T1^10*T2^14 + 
     652*T1^11*T2^14 - 710*T1^12*T2^14 + 750*T1^13*T2^14 - 206*T1^14*T2^14 - 
     112*T1^15*T2^14 + 30*T1^16*T2^14 - 14*T1^7*T2^15 + 84*T1^8*T2^15 - 
     112*T1^9*T2^15 + 28*T1^10*T2^15 + 28*T1^13*T2^15 - 112*T1^14*T2^15 + 
     84*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)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 652] -> 
  {(2 - 15*T + 37*T^2 - 47*T^3 + 37*T^4 - 15*T^5 + 2*T^6)/T^3, 
   (9 - 67*T1 + 163*T1^2 - 205*T1^3 + 163*T1^4 - 67*T1^5 + 9*T1^6 - 67*T2 + 
     432*T1*T2 - 716*T1^2*T2 + 314*T1^3*T2 + 314*T1^4*T2 - 716*T1^5*T2 + 
     432*T1^6*T2 - 67*T1^7*T2 + 163*T2^2 - 716*T1*T2^2 - 592*T1^2*T2^2 + 
     4104*T1^3*T2^2 - 5474*T1^4*T2^2 + 4104*T1^5*T2^2 - 592*T1^6*T2^2 - 
     716*T1^7*T2^2 + 163*T1^8*T2^2 - 205*T2^3 + 314*T1*T2^3 + 
     4104*T1^2*T2^3 - 8588*T1^3*T2^3 + 3652*T1^4*T2^3 + 3652*T1^5*T2^3 - 
     8588*T1^6*T2^3 + 4104*T1^7*T2^3 + 314*T1^8*T2^3 - 205*T1^9*T2^3 + 
     163*T2^4 + 314*T1*T2^4 - 5474*T1^2*T2^4 + 3652*T1^3*T2^4 + 
     11080*T1^4*T2^4 - 16486*T1^5*T2^4 + 11080*T1^6*T2^4 + 3652*T1^7*T2^4 - 
     5474*T1^8*T2^4 + 314*T1^9*T2^4 + 163*T1^10*T2^4 - 67*T2^5 - 
     716*T1*T2^5 + 4104*T1^2*T2^5 + 3652*T1^3*T2^5 - 16486*T1^4*T2^5 + 
     7328*T1^5*T2^5 + 7328*T1^6*T2^5 - 16486*T1^7*T2^5 + 3652*T1^8*T2^5 + 
     4104*T1^9*T2^5 - 716*T1^10*T2^5 - 67*T1^11*T2^5 + 9*T2^6 + 432*T1*T2^6 - 
     592*T1^2*T2^6 - 8588*T1^3*T2^6 + 11080*T1^4*T2^6 + 7328*T1^5*T2^6 - 
     14424*T1^6*T2^6 + 7328*T1^7*T2^6 + 11080*T1^8*T2^6 - 8588*T1^9*T2^6 - 
     592*T1^10*T2^6 + 432*T1^11*T2^6 + 9*T1^12*T2^6 - 67*T1*T2^7 - 
     716*T1^2*T2^7 + 4104*T1^3*T2^7 + 3652*T1^4*T2^7 - 16486*T1^5*T2^7 + 
     7328*T1^6*T2^7 + 7328*T1^7*T2^7 - 16486*T1^8*T2^7 + 3652*T1^9*T2^7 + 
     4104*T1^10*T2^7 - 716*T1^11*T2^7 - 67*T1^12*T2^7 + 163*T1^2*T2^8 + 
     314*T1^3*T2^8 - 5474*T1^4*T2^8 + 3652*T1^5*T2^8 + 11080*T1^6*T2^8 - 
     16486*T1^7*T2^8 + 11080*T1^8*T2^8 + 3652*T1^9*T2^8 - 5474*T1^10*T2^8 + 
     314*T1^11*T2^8 + 163*T1^12*T2^8 - 205*T1^3*T2^9 + 314*T1^4*T2^9 + 
     4104*T1^5*T2^9 - 8588*T1^6*T2^9 + 3652*T1^7*T2^9 + 3652*T1^8*T2^9 - 
     8588*T1^9*T2^9 + 4104*T1^10*T2^9 + 314*T1^11*T2^9 - 205*T1^12*T2^9 + 
     163*T1^4*T2^10 - 716*T1^5*T2^10 - 592*T1^6*T2^10 + 4104*T1^7*T2^10 - 
     5474*T1^8*T2^10 + 4104*T1^9*T2^10 - 592*T1^10*T2^10 - 716*T1^11*T2^10 + 
     163*T1^12*T2^10 - 67*T1^5*T2^11 + 432*T1^6*T2^11 - 716*T1^7*T2^11 + 
     314*T1^8*T2^11 + 314*T1^9*T2^11 - 716*T1^10*T2^11 + 432*T1^11*T2^11 - 
     67*T1^12*T2^11 + 9*T1^6*T2^12 - 67*T1^7*T2^12 + 163*T1^8*T2^12 - 
     205*T1^9*T2^12 + 163*T1^10*T2^12 - 67*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 653] -> 
  {(11 - 36*T + 51*T^2 - 36*T^3 + 11*T^4)/T^2, 
   (3311 - 10611*T1 + 14957*T1^2 - 10611*T1^3 + 3311*T1^4 - 10611*T2 + 
     23494*T1*T2 - 14006*T1^2*T2 - 14006*T1^3*T2 + 23494*T1^4*T2 - 
     10611*T1^5*T2 + 14957*T2^2 - 14006*T1*T2^2 - 27329*T1^2*T2^2 + 
     59383*T1^3*T2^2 - 27329*T1^4*T2^2 - 14006*T1^5*T2^2 + 14957*T1^6*T2^2 - 
     10611*T2^3 - 14006*T1*T2^3 + 59383*T1^2*T2^3 - 40748*T1^3*T2^3 - 
     40748*T1^4*T2^3 + 59383*T1^5*T2^3 - 14006*T1^6*T2^3 - 10611*T1^7*T2^3 + 
     3311*T2^4 + 23494*T1*T2^4 - 27329*T1^2*T2^4 - 40748*T1^3*T2^4 + 
     96996*T1^4*T2^4 - 40748*T1^5*T2^4 - 27329*T1^6*T2^4 + 23494*T1^7*T2^4 + 
     3311*T1^8*T2^4 - 10611*T1*T2^5 - 14006*T1^2*T2^5 + 59383*T1^3*T2^5 - 
     40748*T1^4*T2^5 - 40748*T1^5*T2^5 + 59383*T1^6*T2^5 - 14006*T1^7*T2^5 - 
     10611*T1^8*T2^5 + 14957*T1^2*T2^6 - 14006*T1^3*T2^6 - 27329*T1^4*T2^6 + 
     59383*T1^5*T2^6 - 27329*T1^6*T2^6 - 14006*T1^7*T2^6 + 14957*T1^8*T2^6 - 
     10611*T1^3*T2^7 + 23494*T1^4*T2^7 - 14006*T1^5*T2^7 - 14006*T1^6*T2^7 + 
     23494*T1^7*T2^7 - 10611*T1^8*T2^7 + 3311*T1^4*T2^8 - 10611*T1^5*T2^8 + 
     14957*T1^6*T2^8 - 10611*T1^7*T2^8 + 3311*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, Alternating, 654] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(3 - 5*T + 3*T^2))/T^3), 
   -((63 - 349*T1 + 766*T1^2 - 983*T1^3 + 766*T1^4 - 349*T1^5 + 63*T1^6 - 
      349*T2 + 1588*T1*T2 - 2324*T1^2*T2 + 1210*T1^3*T2 + 1210*T1^4*T2 - 
      2324*T1^5*T2 + 1588*T1^6*T2 - 349*T1^7*T2 + 766*T2^2 - 2324*T1*T2^2 - 
      554*T1^2*T2^2 + 7281*T1^3*T2^2 - 11536*T1^4*T2^2 + 7281*T1^5*T2^2 - 
      554*T1^6*T2^2 - 2324*T1^7*T2^2 + 766*T1^8*T2^2 - 983*T2^3 + 
      1210*T1*T2^3 + 7281*T1^2*T2^3 - 14084*T1^3*T2^3 + 8309*T1^4*T2^3 + 
      8309*T1^5*T2^3 - 14084*T1^6*T2^3 + 7281*T1^7*T2^3 + 1210*T1^8*T2^3 - 
      983*T1^9*T2^3 + 766*T2^4 + 1210*T1*T2^4 - 11536*T1^2*T2^4 + 
      8309*T1^3*T2^4 + 9672*T1^4*T2^4 - 23770*T1^5*T2^4 + 9672*T1^6*T2^4 + 
      8309*T1^7*T2^4 - 11536*T1^8*T2^4 + 1210*T1^9*T2^4 + 766*T1^10*T2^4 - 
      349*T2^5 - 2324*T1*T2^5 + 7281*T1^2*T2^5 + 8309*T1^3*T2^5 - 
      23770*T1^4*T2^5 + 15980*T1^5*T2^5 + 15980*T1^6*T2^5 - 23770*T1^7*T2^5 + 
      8309*T1^8*T2^5 + 7281*T1^9*T2^5 - 2324*T1^10*T2^5 - 349*T1^11*T2^5 + 
      63*T2^6 + 1588*T1*T2^6 - 554*T1^2*T2^6 - 14084*T1^3*T2^6 + 
      9672*T1^4*T2^6 + 15980*T1^5*T2^6 - 36972*T1^6*T2^6 + 15980*T1^7*T2^6 + 
      9672*T1^8*T2^6 - 14084*T1^9*T2^6 - 554*T1^10*T2^6 + 1588*T1^11*T2^6 + 
      63*T1^12*T2^6 - 349*T1*T2^7 - 2324*T1^2*T2^7 + 7281*T1^3*T2^7 + 
      8309*T1^4*T2^7 - 23770*T1^5*T2^7 + 15980*T1^6*T2^7 + 15980*T1^7*T2^7 - 
      23770*T1^8*T2^7 + 8309*T1^9*T2^7 + 7281*T1^10*T2^7 - 2324*T1^11*T2^7 - 
      349*T1^12*T2^7 + 766*T1^2*T2^8 + 1210*T1^3*T2^8 - 11536*T1^4*T2^8 + 
      8309*T1^5*T2^8 + 9672*T1^6*T2^8 - 23770*T1^7*T2^8 + 9672*T1^8*T2^8 + 
      8309*T1^9*T2^8 - 11536*T1^10*T2^8 + 1210*T1^11*T2^8 + 766*T1^12*T2^8 - 
      983*T1^3*T2^9 + 1210*T1^4*T2^9 + 7281*T1^5*T2^9 - 14084*T1^6*T2^9 + 
      8309*T1^7*T2^9 + 8309*T1^8*T2^9 - 14084*T1^9*T2^9 + 7281*T1^10*T2^9 + 
      1210*T1^11*T2^9 - 983*T1^12*T2^9 + 766*T1^4*T2^10 - 2324*T1^5*T2^10 - 
      554*T1^6*T2^10 + 7281*T1^7*T2^10 - 11536*T1^8*T2^10 + 7281*T1^9*T2^10 - 
      554*T1^10*T2^10 - 2324*T1^11*T2^10 + 766*T1^12*T2^10 - 349*T1^5*T2^11 + 
      1588*T1^6*T2^11 - 2324*T1^7*T2^11 + 1210*T1^8*T2^11 + 1210*T1^9*T2^11 - 
      2324*T1^10*T2^11 + 1588*T1^11*T2^11 - 349*T1^12*T2^11 + 63*T1^6*T2^12 - 
      349*T1^7*T2^12 + 766*T1^8*T2^12 - 983*T1^9*T2^12 + 766*T1^10*T2^12 - 
      349*T1^11*T2^12 + 63*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 655] -> 
  {((1 - T + T^2)*(4 - 13*T + 19*T^2 - 13*T^3 + 4*T^4))/T^3, 
   -((64 - 260*T1 + 532*T1^2 - 656*T1^3 + 532*T1^4 - 260*T1^5 + 64*T1^6 - 
      260*T2 + 800*T1*T2 - 1109*T1^2*T2 + 507*T1^3*T2 + 507*T1^4*T2 - 
      1109*T1^5*T2 + 800*T1^6*T2 - 260*T1^7*T2 + 532*T2^2 - 1109*T1*T2^2 + 
      557*T1^2*T2^2 + 1495*T1^3*T2^2 - 2477*T1^4*T2^2 + 1495*T1^5*T2^2 + 
      557*T1^6*T2^2 - 1109*T1^7*T2^2 + 532*T1^8*T2^2 - 656*T2^3 + 
      507*T1*T2^3 + 1495*T1^2*T2^3 - 3824*T1^3*T2^3 + 1905*T1^4*T2^3 + 
      1905*T1^5*T2^3 - 3824*T1^6*T2^3 + 1495*T1^7*T2^3 + 507*T1^8*T2^3 - 
      656*T1^9*T2^3 + 532*T2^4 + 507*T1*T2^4 - 2477*T1^2*T2^4 + 
      1905*T1^3*T2^4 + 4129*T1^4*T2^4 - 7209*T1^5*T2^4 + 4129*T1^6*T2^4 + 
      1905*T1^7*T2^4 - 2477*T1^8*T2^4 + 507*T1^9*T2^4 + 532*T1^10*T2^4 - 
      260*T2^5 - 1109*T1*T2^5 + 1495*T1^2*T2^5 + 1905*T1^3*T2^5 - 
      7209*T1^4*T2^5 + 3852*T1^5*T2^5 + 3852*T1^6*T2^5 - 7209*T1^7*T2^5 + 
      1905*T1^8*T2^5 + 1495*T1^9*T2^5 - 1109*T1^10*T2^5 - 260*T1^11*T2^5 + 
      64*T2^6 + 800*T1*T2^6 + 557*T1^2*T2^6 - 3824*T1^3*T2^6 + 
      4129*T1^4*T2^6 + 3852*T1^5*T2^6 - 8256*T1^6*T2^6 + 3852*T1^7*T2^6 + 
      4129*T1^8*T2^6 - 3824*T1^9*T2^6 + 557*T1^10*T2^6 + 800*T1^11*T2^6 + 
      64*T1^12*T2^6 - 260*T1*T2^7 - 1109*T1^2*T2^7 + 1495*T1^3*T2^7 + 
      1905*T1^4*T2^7 - 7209*T1^5*T2^7 + 3852*T1^6*T2^7 + 3852*T1^7*T2^7 - 
      7209*T1^8*T2^7 + 1905*T1^9*T2^7 + 1495*T1^10*T2^7 - 1109*T1^11*T2^7 - 
      260*T1^12*T2^7 + 532*T1^2*T2^8 + 507*T1^3*T2^8 - 2477*T1^4*T2^8 + 
      1905*T1^5*T2^8 + 4129*T1^6*T2^8 - 7209*T1^7*T2^8 + 4129*T1^8*T2^8 + 
      1905*T1^9*T2^8 - 2477*T1^10*T2^8 + 507*T1^11*T2^8 + 532*T1^12*T2^8 - 
      656*T1^3*T2^9 + 507*T1^4*T2^9 + 1495*T1^5*T2^9 - 3824*T1^6*T2^9 + 
      1905*T1^7*T2^9 + 1905*T1^8*T2^9 - 3824*T1^9*T2^9 + 1495*T1^10*T2^9 + 
      507*T1^11*T2^9 - 656*T1^12*T2^9 + 532*T1^4*T2^10 - 1109*T1^5*T2^10 + 
      557*T1^6*T2^10 + 1495*T1^7*T2^10 - 2477*T1^8*T2^10 + 1495*T1^9*T2^10 + 
      557*T1^10*T2^10 - 1109*T1^11*T2^10 + 532*T1^12*T2^10 - 260*T1^5*T2^11 + 
      800*T1^6*T2^11 - 1109*T1^7*T2^11 + 507*T1^8*T2^11 + 507*T1^9*T2^11 - 
      1109*T1^10*T2^11 + 800*T1^11*T2^11 - 260*T1^12*T2^11 + 64*T1^6*T2^12 - 
      260*T1^7*T2^12 + 532*T1^8*T2^12 - 656*T1^9*T2^12 + 532*T1^10*T2^12 - 
      260*T1^11*T2^12 + 64*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 656] -> 
  {(4 - 22*T + 55*T^2 - 73*T^3 + 55*T^4 - 22*T^5 + 4*T^6)/T^3, 
   -((80 - 424*T1 + 1048*T1^2 - 1384*T1^3 + 1048*T1^4 - 424*T1^5 + 80*T1^6 - 
      424*T2 + 1822*T1*T2 - 3300*T1^2*T2 + 1778*T1^3*T2 + 1778*T1^4*T2 - 
      3300*T1^5*T2 + 1822*T1^6*T2 - 424*T1^7*T2 + 1048*T2^2 - 3300*T1*T2^2 + 
      2849*T1^2*T2^2 + 5748*T1^3*T2^2 - 11433*T1^4*T2^2 + 5748*T1^5*T2^2 + 
      2849*T1^6*T2^2 - 3300*T1^7*T2^2 + 1048*T1^8*T2^2 - 1384*T2^3 + 
      1778*T1*T2^3 + 5748*T1^2*T2^3 - 20718*T1^3*T2^3 + 12584*T1^4*T2^3 + 
      12584*T1^5*T2^3 - 20718*T1^6*T2^3 + 5748*T1^7*T2^3 + 1778*T1^8*T2^3 - 
      1384*T1^9*T2^3 + 1048*T2^4 + 1778*T1*T2^4 - 11433*T1^2*T2^4 + 
      12584*T1^3*T2^4 + 28508*T1^4*T2^4 - 56290*T1^5*T2^4 + 28508*T1^6*T2^4 + 
      12584*T1^7*T2^4 - 11433*T1^8*T2^4 + 1778*T1^9*T2^4 + 1048*T1^10*T2^4 - 
      424*T2^5 - 3300*T1*T2^5 + 5748*T1^2*T2^5 + 12584*T1^3*T2^5 - 
      56290*T1^4*T2^5 + 34868*T1^5*T2^5 + 34868*T1^6*T2^5 - 56290*T1^7*T2^5 + 
      12584*T1^8*T2^5 + 5748*T1^9*T2^5 - 3300*T1^10*T2^5 - 424*T1^11*T2^5 + 
      80*T2^6 + 1822*T1*T2^6 + 2849*T1^2*T2^6 - 20718*T1^3*T2^6 + 
      28508*T1^4*T2^6 + 34868*T1^5*T2^6 - 79020*T1^6*T2^6 + 34868*T1^7*T2^6 + 
      28508*T1^8*T2^6 - 20718*T1^9*T2^6 + 2849*T1^10*T2^6 + 1822*T1^11*T2^6 + 
      80*T1^12*T2^6 - 424*T1*T2^7 - 3300*T1^2*T2^7 + 5748*T1^3*T2^7 + 
      12584*T1^4*T2^7 - 56290*T1^5*T2^7 + 34868*T1^6*T2^7 + 34868*T1^7*T2^7 - 
      56290*T1^8*T2^7 + 12584*T1^9*T2^7 + 5748*T1^10*T2^7 - 3300*T1^11*T2^7 - 
      424*T1^12*T2^7 + 1048*T1^2*T2^8 + 1778*T1^3*T2^8 - 11433*T1^4*T2^8 + 
      12584*T1^5*T2^8 + 28508*T1^6*T2^8 - 56290*T1^7*T2^8 + 28508*T1^8*T2^8 + 
      12584*T1^9*T2^8 - 11433*T1^10*T2^8 + 1778*T1^11*T2^8 + 
      1048*T1^12*T2^8 - 1384*T1^3*T2^9 + 1778*T1^4*T2^9 + 5748*T1^5*T2^9 - 
      20718*T1^6*T2^9 + 12584*T1^7*T2^9 + 12584*T1^8*T2^9 - 20718*T1^9*T2^9 + 
      5748*T1^10*T2^9 + 1778*T1^11*T2^9 - 1384*T1^12*T2^9 + 1048*T1^4*T2^10 - 
      3300*T1^5*T2^10 + 2849*T1^6*T2^10 + 5748*T1^7*T2^10 - 
      11433*T1^8*T2^10 + 5748*T1^9*T2^10 + 2849*T1^10*T2^10 - 
      3300*T1^11*T2^10 + 1048*T1^12*T2^10 - 424*T1^5*T2^11 + 
      1822*T1^6*T2^11 - 3300*T1^7*T2^11 + 1778*T1^8*T2^11 + 1778*T1^9*T2^11 - 
      3300*T1^10*T2^11 + 1822*T1^11*T2^11 - 424*T1^12*T2^11 + 80*T1^6*T2^12 - 
      424*T1^7*T2^12 + 1048*T1^8*T2^12 - 1384*T1^9*T2^12 + 1048*T1^10*T2^12 - 
      424*T1^11*T2^12 + 80*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, (1 - 4*T1 + 9*T1^2 - 14*T1^3 + 17*T1^4 - 14*T1^5 + 9*T1^6 - 4*T1^7 + 
     T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 20*T1^3*T2 - 12*T1^4*T2 - 
     12*T1^5*T2 + 20*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 9*T2^2 - 
     20*T1*T2^2 + 26*T1^2*T2^2 - 31*T1^3*T2^2 + 57*T1^4*T2^2 - 48*T1^5*T2^2 + 
     57*T1^6*T2^2 - 31*T1^7*T2^2 + 26*T1^8*T2^2 - 20*T1^9*T2^2 + 
     9*T1^10*T2^2 - 14*T2^3 + 20*T1*T2^3 - 31*T1^2*T2^3 + 88*T1^3*T2^3 - 
     180*T1^4*T2^3 + 60*T1^5*T2^3 + 60*T1^6*T2^3 - 180*T1^7*T2^3 + 
     88*T1^8*T2^3 - 31*T1^9*T2^3 + 20*T1^10*T2^3 - 14*T1^11*T2^3 + 17*T2^4 - 
     12*T1*T2^4 + 57*T1^2*T2^4 - 180*T1^3*T2^4 + 213*T1^4*T2^4 + 
     240*T1^5*T2^4 - 343*T1^6*T2^4 + 240*T1^7*T2^4 + 213*T1^8*T2^4 - 
     180*T1^9*T2^4 + 57*T1^10*T2^4 - 12*T1^11*T2^4 + 17*T1^12*T2^4 - 
     14*T2^5 - 12*T1*T2^5 - 48*T1^2*T2^5 + 60*T1^3*T2^5 + 240*T1^4*T2^5 - 
     914*T1^5*T2^5 + 306*T1^6*T2^5 + 306*T1^7*T2^5 - 914*T1^8*T2^5 + 
     240*T1^9*T2^5 + 60*T1^10*T2^5 - 48*T1^11*T2^5 - 12*T1^12*T2^5 - 
     14*T1^13*T2^5 + 9*T2^6 + 20*T1*T2^6 + 57*T1^2*T2^6 + 60*T1^3*T2^6 - 
     343*T1^4*T2^6 + 306*T1^5*T2^6 + 1442*T1^6*T2^6 - 1700*T1^7*T2^6 + 
     1442*T1^8*T2^6 + 306*T1^9*T2^6 - 343*T1^10*T2^6 + 60*T1^11*T2^6 + 
     57*T1^12*T2^6 + 20*T1^13*T2^6 + 9*T1^14*T2^6 - 4*T2^7 - 20*T1*T2^7 - 
     31*T1^2*T2^7 - 180*T1^3*T2^7 + 240*T1^4*T2^7 + 306*T1^5*T2^7 - 
     1700*T1^6*T2^7 + 384*T1^7*T2^7 + 384*T1^8*T2^7 - 1700*T1^9*T2^7 + 
     306*T1^10*T2^7 + 240*T1^11*T2^7 - 180*T1^12*T2^7 - 31*T1^13*T2^7 - 
     20*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 26*T1^2*T2^8 + 
     88*T1^3*T2^8 + 213*T1^4*T2^8 - 914*T1^5*T2^8 + 1442*T1^6*T2^8 + 
     384*T1^7*T2^8 - 240*T1^8*T2^8 + 384*T1^9*T2^8 + 1442*T1^10*T2^8 - 
     914*T1^11*T2^8 + 213*T1^12*T2^8 + 88*T1^13*T2^8 + 26*T1^14*T2^8 + 
     12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 20*T1^2*T2^9 - 31*T1^3*T2^9 - 
     180*T1^4*T2^9 + 240*T1^5*T2^9 + 306*T1^6*T2^9 - 1700*T1^7*T2^9 + 
     384*T1^8*T2^9 + 384*T1^9*T2^9 - 1700*T1^10*T2^9 + 306*T1^11*T2^9 + 
     240*T1^12*T2^9 - 180*T1^13*T2^9 - 31*T1^14*T2^9 - 20*T1^15*T2^9 - 
     4*T1^16*T2^9 + 9*T1^2*T2^10 + 20*T1^3*T2^10 + 57*T1^4*T2^10 + 
     60*T1^5*T2^10 - 343*T1^6*T2^10 + 306*T1^7*T2^10 + 1442*T1^8*T2^10 - 
     1700*T1^9*T2^10 + 1442*T1^10*T2^10 + 306*T1^11*T2^10 - 343*T1^12*T2^10 + 
     60*T1^13*T2^10 + 57*T1^14*T2^10 + 20*T1^15*T2^10 + 9*T1^16*T2^10 - 
     14*T1^3*T2^11 - 12*T1^4*T2^11 - 48*T1^5*T2^11 + 60*T1^6*T2^11 + 
     240*T1^7*T2^11 - 914*T1^8*T2^11 + 306*T1^9*T2^11 + 306*T1^10*T2^11 - 
     914*T1^11*T2^11 + 240*T1^12*T2^11 + 60*T1^13*T2^11 - 48*T1^14*T2^11 - 
     12*T1^15*T2^11 - 14*T1^16*T2^11 + 17*T1^4*T2^12 - 12*T1^5*T2^12 + 
     57*T1^6*T2^12 - 180*T1^7*T2^12 + 213*T1^8*T2^12 + 240*T1^9*T2^12 - 
     343*T1^10*T2^12 + 240*T1^11*T2^12 + 213*T1^12*T2^12 - 180*T1^13*T2^12 + 
     57*T1^14*T2^12 - 12*T1^15*T2^12 + 17*T1^16*T2^12 - 14*T1^5*T2^13 + 
     20*T1^6*T2^13 - 31*T1^7*T2^13 + 88*T1^8*T2^13 - 180*T1^9*T2^13 + 
     60*T1^10*T2^13 + 60*T1^11*T2^13 - 180*T1^12*T2^13 + 88*T1^13*T2^13 - 
     31*T1^14*T2^13 + 20*T1^15*T2^13 - 14*T1^16*T2^13 + 9*T1^6*T2^14 - 
     20*T1^7*T2^14 + 26*T1^8*T2^14 - 31*T1^9*T2^14 + 57*T1^10*T2^14 - 
     48*T1^11*T2^14 + 57*T1^12*T2^14 - 31*T1^13*T2^14 + 26*T1^14*T2^14 - 
     20*T1^15*T2^14 + 9*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 
     20*T1^9*T2^15 + 20*T1^10*T2^15 - 12*T1^11*T2^15 - 12*T1^12*T2^15 + 
     20*T1^13*T2^15 - 20*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + 
     T1^8*T2^16 - 4*T1^9*T2^16 + 9*T1^10*T2^16 - 14*T1^11*T2^16 + 
     17*T1^12*T2^16 - 14*T1^13*T2^16 + 9*T1^14*T2^16 - 4*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, Knot[12, Alternating, 658] -> 
  {(4 - 18*T + 38*T^2 - 47*T^3 + 38*T^4 - 18*T^5 + 4*T^6)/T^3, 
   (64 - 284*T1 + 588*T1^2 - 720*T1^3 + 588*T1^4 - 284*T1^5 + 64*T1^6 - 
     284*T2 + 978*T1*T2 - 1354*T1^2*T2 + 590*T1^3*T2 + 590*T1^4*T2 - 
     1354*T1^5*T2 + 978*T1^6*T2 - 284*T1^7*T2 + 588*T2^2 - 1354*T1*T2^2 + 
     319*T1^2*T2^2 + 2654*T1^3*T2^2 - 3847*T1^4*T2^2 + 2654*T1^5*T2^2 + 
     319*T1^6*T2^2 - 1354*T1^7*T2^2 + 588*T1^8*T2^2 - 720*T2^3 + 
     590*T1*T2^3 + 2654*T1^2*T2^3 - 5744*T1^3*T2^3 + 2508*T1^4*T2^3 + 
     2508*T1^5*T2^3 - 5744*T1^6*T2^3 + 2654*T1^7*T2^3 + 590*T1^8*T2^3 - 
     720*T1^9*T2^3 + 588*T2^4 + 590*T1*T2^4 - 3847*T1^2*T2^4 + 
     2508*T1^3*T2^4 + 6175*T1^4*T2^4 - 9499*T1^5*T2^4 + 6175*T1^6*T2^4 + 
     2508*T1^7*T2^4 - 3847*T1^8*T2^4 + 590*T1^9*T2^4 + 588*T1^10*T2^4 - 
     284*T2^5 - 1354*T1*T2^5 + 2654*T1^2*T2^5 + 2508*T1^3*T2^5 - 
     9499*T1^4*T2^5 + 4252*T1^5*T2^5 + 4252*T1^6*T2^5 - 9499*T1^7*T2^5 + 
     2508*T1^8*T2^5 + 2654*T1^9*T2^5 - 1354*T1^10*T2^5 - 284*T1^11*T2^5 + 
     64*T2^6 + 978*T1*T2^6 + 319*T1^2*T2^6 - 5744*T1^3*T2^6 + 
     6175*T1^4*T2^6 + 4252*T1^5*T2^6 - 8292*T1^6*T2^6 + 4252*T1^7*T2^6 + 
     6175*T1^8*T2^6 - 5744*T1^9*T2^6 + 319*T1^10*T2^6 + 978*T1^11*T2^6 + 
     64*T1^12*T2^6 - 284*T1*T2^7 - 1354*T1^2*T2^7 + 2654*T1^3*T2^7 + 
     2508*T1^4*T2^7 - 9499*T1^5*T2^7 + 4252*T1^6*T2^7 + 4252*T1^7*T2^7 - 
     9499*T1^8*T2^7 + 2508*T1^9*T2^7 + 2654*T1^10*T2^7 - 1354*T1^11*T2^7 - 
     284*T1^12*T2^7 + 588*T1^2*T2^8 + 590*T1^3*T2^8 - 3847*T1^4*T2^8 + 
     2508*T1^5*T2^8 + 6175*T1^6*T2^8 - 9499*T1^7*T2^8 + 6175*T1^8*T2^8 + 
     2508*T1^9*T2^8 - 3847*T1^10*T2^8 + 590*T1^11*T2^8 + 588*T1^12*T2^8 - 
     720*T1^3*T2^9 + 590*T1^4*T2^9 + 2654*T1^5*T2^9 - 5744*T1^6*T2^9 + 
     2508*T1^7*T2^9 + 2508*T1^8*T2^9 - 5744*T1^9*T2^9 + 2654*T1^10*T2^9 + 
     590*T1^11*T2^9 - 720*T1^12*T2^9 + 588*T1^4*T2^10 - 1354*T1^5*T2^10 + 
     319*T1^6*T2^10 + 2654*T1^7*T2^10 - 3847*T1^8*T2^10 + 2654*T1^9*T2^10 + 
     319*T1^10*T2^10 - 1354*T1^11*T2^10 + 588*T1^12*T2^10 - 284*T1^5*T2^11 + 
     978*T1^6*T2^11 - 1354*T1^7*T2^11 + 590*T1^8*T2^11 + 590*T1^9*T2^11 - 
     1354*T1^10*T2^11 + 978*T1^11*T2^11 - 284*T1^12*T2^11 + 64*T1^6*T2^12 - 
     284*T1^7*T2^12 + 588*T1^8*T2^12 - 720*T1^9*T2^12 + 588*T1^10*T2^12 - 
     284*T1^11*T2^12 + 64*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 659] -> 
  {(8 - 30*T + 58*T^2 - 71*T^3 + 58*T^4 - 30*T^5 + 8*T^6)/T^3, 
   (1624 - 5942*T1 + 11354*T1^2 - 13842*T1^3 + 11354*T1^4 - 5942*T1^5 + 
     1624*T1^6 - 5942*T2 + 15918*T1*T2 - 20032*T1^2*T2 + 9233*T1^3*T2 + 
     9233*T1^4*T2 - 20032*T1^5*T2 + 15918*T1^6*T2 - 5942*T1^7*T2 + 
     11354*T2^2 - 20032*T1*T2^2 + 10365*T1^2*T2^2 + 16856*T1^3*T2^2 - 
     31115*T1^4*T2^2 + 16856*T1^5*T2^2 + 10365*T1^6*T2^2 - 20032*T1^7*T2^2 + 
     11354*T1^8*T2^2 - 13842*T2^3 + 9233*T1*T2^3 + 16856*T1^2*T2^3 - 
     40482*T1^3*T2^3 + 21019*T1^4*T2^3 + 21019*T1^5*T2^3 - 40482*T1^6*T2^3 + 
     16856*T1^7*T2^3 + 9233*T1^8*T2^3 - 13842*T1^9*T2^3 + 11354*T2^4 + 
     9233*T1*T2^4 - 31115*T1^2*T2^4 + 21019*T1^3*T2^4 + 33817*T1^4*T2^4 - 
     62797*T1^5*T2^4 + 33817*T1^6*T2^4 + 21019*T1^7*T2^4 - 31115*T1^8*T2^4 + 
     9233*T1^9*T2^4 + 11354*T1^10*T2^4 - 5942*T2^5 - 20032*T1*T2^5 + 
     16856*T1^2*T2^5 + 21019*T1^3*T2^5 - 62797*T1^4*T2^5 + 32898*T1^5*T2^5 + 
     32898*T1^6*T2^5 - 62797*T1^7*T2^5 + 21019*T1^8*T2^5 + 16856*T1^9*T2^5 - 
     20032*T1^10*T2^5 - 5942*T1^11*T2^5 + 1624*T2^6 + 15918*T1*T2^6 + 
     10365*T1^2*T2^6 - 40482*T1^3*T2^6 + 33817*T1^4*T2^6 + 32898*T1^5*T2^6 - 
     68172*T1^6*T2^6 + 32898*T1^7*T2^6 + 33817*T1^8*T2^6 - 40482*T1^9*T2^6 + 
     10365*T1^10*T2^6 + 15918*T1^11*T2^6 + 1624*T1^12*T2^6 - 5942*T1*T2^7 - 
     20032*T1^2*T2^7 + 16856*T1^3*T2^7 + 21019*T1^4*T2^7 - 62797*T1^5*T2^7 + 
     32898*T1^6*T2^7 + 32898*T1^7*T2^7 - 62797*T1^8*T2^7 + 21019*T1^9*T2^7 + 
     16856*T1^10*T2^7 - 20032*T1^11*T2^7 - 5942*T1^12*T2^7 + 
     11354*T1^2*T2^8 + 9233*T1^3*T2^8 - 31115*T1^4*T2^8 + 21019*T1^5*T2^8 + 
     33817*T1^6*T2^8 - 62797*T1^7*T2^8 + 33817*T1^8*T2^8 + 21019*T1^9*T2^8 - 
     31115*T1^10*T2^8 + 9233*T1^11*T2^8 + 11354*T1^12*T2^8 - 
     13842*T1^3*T2^9 + 9233*T1^4*T2^9 + 16856*T1^5*T2^9 - 40482*T1^6*T2^9 + 
     21019*T1^7*T2^9 + 21019*T1^8*T2^9 - 40482*T1^9*T2^9 + 16856*T1^10*T2^9 + 
     9233*T1^11*T2^9 - 13842*T1^12*T2^9 + 11354*T1^4*T2^10 - 
     20032*T1^5*T2^10 + 10365*T1^6*T2^10 + 16856*T1^7*T2^10 - 
     31115*T1^8*T2^10 + 16856*T1^9*T2^10 + 10365*T1^10*T2^10 - 
     20032*T1^11*T2^10 + 11354*T1^12*T2^10 - 5942*T1^5*T2^11 + 
     15918*T1^6*T2^11 - 20032*T1^7*T2^11 + 9233*T1^8*T2^11 + 
     9233*T1^9*T2^11 - 20032*T1^10*T2^11 + 15918*T1^11*T2^11 - 
     5942*T1^12*T2^11 + 1624*T1^6*T2^12 - 5942*T1^7*T2^12 + 
     11354*T1^8*T2^12 - 13842*T1^9*T2^12 + 11354*T1^10*T2^12 - 
     5942*T1^11*T2^12 + 1624*T1^12*T2^12)/(T1^6*T2^6)}, 
 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), -((25 - 123*T1 + 254*T1^2 - 373*T1^3 + 421*T1^4 - 373*T1^5 + 
      254*T1^6 - 123*T1^7 + 25*T1^8 - 123*T2 + 484*T1*T2 - 651*T1^2*T2 + 
      590*T1^3*T2 - 237*T1^4*T2 - 237*T1^5*T2 + 590*T1^6*T2 - 651*T1^7*T2 + 
      484*T1^8*T2 - 123*T1^9*T2 + 254*T2^2 - 651*T1*T2^2 - 125*T1^2*T2^2 + 
      1143*T1^3*T2^2 - 2240*T1^4*T2^2 + 2687*T1^5*T2^2 - 2240*T1^6*T2^2 + 
      1143*T1^7*T2^2 - 125*T1^8*T2^2 - 651*T1^9*T2^2 + 254*T1^10*T2^2 - 
      373*T2^3 + 590*T1*T2^3 + 1143*T1^2*T2^3 - 1632*T1^3*T2^3 + 
      1764*T1^4*T2^3 - 727*T1^5*T2^3 - 727*T1^6*T2^3 + 1764*T1^7*T2^3 - 
      1632*T1^8*T2^3 + 1143*T1^9*T2^3 + 590*T1^10*T2^3 - 373*T1^11*T2^3 + 
      421*T2^4 - 237*T1*T2^4 - 2240*T1^2*T2^4 + 1764*T1^3*T2^4 - 
      2157*T1^4*T2^4 + 1478*T1^5*T2^4 - 1213*T1^6*T2^4 + 1478*T1^7*T2^4 - 
      2157*T1^8*T2^4 + 1764*T1^9*T2^4 - 2240*T1^10*T2^4 - 237*T1^11*T2^4 + 
      421*T1^12*T2^4 - 373*T2^5 - 237*T1*T2^5 + 2687*T1^2*T2^5 - 
      727*T1^3*T2^5 + 1478*T1^4*T2^5 - 266*T1^5*T2^5 + 51*T1^6*T2^5 + 
      51*T1^7*T2^5 - 266*T1^8*T2^5 + 1478*T1^9*T2^5 - 727*T1^10*T2^5 + 
      2687*T1^11*T2^5 - 237*T1^12*T2^5 - 373*T1^13*T2^5 + 254*T2^6 + 
      590*T1*T2^6 - 2240*T1^2*T2^6 - 727*T1^3*T2^6 - 1213*T1^4*T2^6 + 
      51*T1^5*T2^6 - 975*T1^6*T2^6 + 1245*T1^7*T2^6 - 975*T1^8*T2^6 + 
      51*T1^9*T2^6 - 1213*T1^10*T2^6 - 727*T1^11*T2^6 - 2240*T1^12*T2^6 + 
      590*T1^13*T2^6 + 254*T1^14*T2^6 - 123*T2^7 - 651*T1*T2^7 + 
      1143*T1^2*T2^7 + 1764*T1^3*T2^7 + 1478*T1^4*T2^7 + 51*T1^5*T2^7 + 
      1245*T1^6*T2^7 - 524*T1^7*T2^7 - 524*T1^8*T2^7 + 1245*T1^9*T2^7 + 
      51*T1^10*T2^7 + 1478*T1^11*T2^7 + 1764*T1^12*T2^7 + 1143*T1^13*T2^7 - 
      651*T1^14*T2^7 - 123*T1^15*T2^7 + 25*T2^8 + 484*T1*T2^8 - 
      125*T1^2*T2^8 - 1632*T1^3*T2^8 - 2157*T1^4*T2^8 - 266*T1^5*T2^8 - 
      975*T1^6*T2^8 - 524*T1^7*T2^8 + 1032*T1^8*T2^8 - 524*T1^9*T2^8 - 
      975*T1^10*T2^8 - 266*T1^11*T2^8 - 2157*T1^12*T2^8 - 1632*T1^13*T2^8 - 
      125*T1^14*T2^8 + 484*T1^15*T2^8 + 25*T1^16*T2^8 - 123*T1*T2^9 - 
      651*T1^2*T2^9 + 1143*T1^3*T2^9 + 1764*T1^4*T2^9 + 1478*T1^5*T2^9 + 
      51*T1^6*T2^9 + 1245*T1^7*T2^9 - 524*T1^8*T2^9 - 524*T1^9*T2^9 + 
      1245*T1^10*T2^9 + 51*T1^11*T2^9 + 1478*T1^12*T2^9 + 1764*T1^13*T2^9 + 
      1143*T1^14*T2^9 - 651*T1^15*T2^9 - 123*T1^16*T2^9 + 254*T1^2*T2^10 + 
      590*T1^3*T2^10 - 2240*T1^4*T2^10 - 727*T1^5*T2^10 - 1213*T1^6*T2^10 + 
      51*T1^7*T2^10 - 975*T1^8*T2^10 + 1245*T1^9*T2^10 - 975*T1^10*T2^10 + 
      51*T1^11*T2^10 - 1213*T1^12*T2^10 - 727*T1^13*T2^10 - 
      2240*T1^14*T2^10 + 590*T1^15*T2^10 + 254*T1^16*T2^10 - 373*T1^3*T2^11 - 
      237*T1^4*T2^11 + 2687*T1^5*T2^11 - 727*T1^6*T2^11 + 1478*T1^7*T2^11 - 
      266*T1^8*T2^11 + 51*T1^9*T2^11 + 51*T1^10*T2^11 - 266*T1^11*T2^11 + 
      1478*T1^12*T2^11 - 727*T1^13*T2^11 + 2687*T1^14*T2^11 - 
      237*T1^15*T2^11 - 373*T1^16*T2^11 + 421*T1^4*T2^12 - 237*T1^5*T2^12 - 
      2240*T1^6*T2^12 + 1764*T1^7*T2^12 - 2157*T1^8*T2^12 + 1478*T1^9*T2^12 - 
      1213*T1^10*T2^12 + 1478*T1^11*T2^12 - 2157*T1^12*T2^12 + 
      1764*T1^13*T2^12 - 2240*T1^14*T2^12 - 237*T1^15*T2^12 + 
      421*T1^16*T2^12 - 373*T1^5*T2^13 + 590*T1^6*T2^13 + 1143*T1^7*T2^13 - 
      1632*T1^8*T2^13 + 1764*T1^9*T2^13 - 727*T1^10*T2^13 - 727*T1^11*T2^13 + 
      1764*T1^12*T2^13 - 1632*T1^13*T2^13 + 1143*T1^14*T2^13 + 
      590*T1^15*T2^13 - 373*T1^16*T2^13 + 254*T1^6*T2^14 - 651*T1^7*T2^14 - 
      125*T1^8*T2^14 + 1143*T1^9*T2^14 - 2240*T1^10*T2^14 + 
      2687*T1^11*T2^14 - 2240*T1^12*T2^14 + 1143*T1^13*T2^14 - 
      125*T1^14*T2^14 - 651*T1^15*T2^14 + 254*T1^16*T2^14 - 123*T1^7*T2^15 + 
      484*T1^8*T2^15 - 651*T1^9*T2^15 + 590*T1^10*T2^15 - 237*T1^11*T2^15 - 
      237*T1^12*T2^15 + 590*T1^13*T2^15 - 651*T1^14*T2^15 + 484*T1^15*T2^15 - 
      123*T1^16*T2^15 + 25*T1^8*T2^16 - 123*T1^9*T2^16 + 254*T1^10*T2^16 - 
      373*T1^11*T2^16 + 421*T1^12*T2^16 - 373*T1^13*T2^16 + 254*T1^14*T2^16 - 
      123*T1^15*T2^16 + 25*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 661] -> 
  {-((4 - 21*T + 44*T^2 - 55*T^3 + 44*T^4 - 21*T^5 + 4*T^6)/T^3), 
   -((144 - 740*T1 + 1516*T1^2 - 1880*T1^3 + 1516*T1^4 - 740*T1^5 + 
      144*T1^6 - 740*T2 + 3078*T1*T2 - 4043*T1^2*T2 + 1907*T1^3*T2 + 
      1907*T1^4*T2 - 4043*T1^5*T2 + 3078*T1^6*T2 - 740*T1^7*T2 + 1516*T2^2 - 
      4043*T1*T2^2 - 1902*T1^2*T2^2 + 12590*T1^3*T2^2 - 18132*T1^4*T2^2 + 
      12590*T1^5*T2^2 - 1902*T1^6*T2^2 - 4043*T1^7*T2^2 + 1516*T1^8*T2^2 - 
      1880*T2^3 + 1907*T1*T2^3 + 12590*T1^2*T2^3 - 20634*T1^3*T2^3 + 
      10486*T1^4*T2^3 + 10486*T1^5*T2^3 - 20634*T1^6*T2^3 + 12590*T1^7*T2^3 + 
      1907*T1^8*T2^3 - 1880*T1^9*T2^3 + 1516*T2^4 + 1907*T1*T2^4 - 
      18132*T1^2*T2^4 + 10486*T1^3*T2^4 + 12857*T1^4*T2^4 - 26701*T1^5*T2^4 + 
      12857*T1^6*T2^4 + 10486*T1^7*T2^4 - 18132*T1^8*T2^4 + 1907*T1^9*T2^4 + 
      1516*T1^10*T2^4 - 740*T2^5 - 4043*T1*T2^5 + 12590*T1^2*T2^5 + 
      10486*T1^3*T2^5 - 26701*T1^4*T2^5 + 15194*T1^5*T2^5 + 15194*T1^6*T2^5 - 
      26701*T1^7*T2^5 + 10486*T1^8*T2^5 + 12590*T1^9*T2^5 - 4043*T1^10*T2^5 - 
      740*T1^11*T2^5 + 144*T2^6 + 3078*T1*T2^6 - 1902*T1^2*T2^6 - 
      20634*T1^3*T2^6 + 12857*T1^4*T2^6 + 15194*T1^5*T2^6 - 32736*T1^6*T2^6 + 
      15194*T1^7*T2^6 + 12857*T1^8*T2^6 - 20634*T1^9*T2^6 - 1902*T1^10*T2^6 + 
      3078*T1^11*T2^6 + 144*T1^12*T2^6 - 740*T1*T2^7 - 4043*T1^2*T2^7 + 
      12590*T1^3*T2^7 + 10486*T1^4*T2^7 - 26701*T1^5*T2^7 + 15194*T1^6*T2^7 + 
      15194*T1^7*T2^7 - 26701*T1^8*T2^7 + 10486*T1^9*T2^7 + 
      12590*T1^10*T2^7 - 4043*T1^11*T2^7 - 740*T1^12*T2^7 + 1516*T1^2*T2^8 + 
      1907*T1^3*T2^8 - 18132*T1^4*T2^8 + 10486*T1^5*T2^8 + 12857*T1^6*T2^8 - 
      26701*T1^7*T2^8 + 12857*T1^8*T2^8 + 10486*T1^9*T2^8 - 
      18132*T1^10*T2^8 + 1907*T1^11*T2^8 + 1516*T1^12*T2^8 - 1880*T1^3*T2^9 + 
      1907*T1^4*T2^9 + 12590*T1^5*T2^9 - 20634*T1^6*T2^9 + 10486*T1^7*T2^9 + 
      10486*T1^8*T2^9 - 20634*T1^9*T2^9 + 12590*T1^10*T2^9 + 
      1907*T1^11*T2^9 - 1880*T1^12*T2^9 + 1516*T1^4*T2^10 - 4043*T1^5*T2^10 - 
      1902*T1^6*T2^10 + 12590*T1^7*T2^10 - 18132*T1^8*T2^10 + 
      12590*T1^9*T2^10 - 1902*T1^10*T2^10 - 4043*T1^11*T2^10 + 
      1516*T1^12*T2^10 - 740*T1^5*T2^11 + 3078*T1^6*T2^11 - 4043*T1^7*T2^11 + 
      1907*T1^8*T2^11 + 1907*T1^9*T2^11 - 4043*T1^10*T2^11 + 
      3078*T1^11*T2^11 - 740*T1^12*T2^11 + 144*T1^6*T2^12 - 740*T1^7*T2^12 + 
      1516*T1^8*T2^12 - 1880*T1^9*T2^12 + 1516*T1^10*T2^12 - 
      740*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   (T1^2 - T1^3 - T1^4 + T1^5 + 5*T1*T2 - 32*T1^2*T2 + 59*T1^3*T2 - 
     67*T1^4*T2 + 59*T1^5*T2 - 32*T1^6*T2 + 5*T1^7*T2 + T2^2 - 32*T1*T2^2 + 
     146*T1^2*T2^2 - 191*T1^3*T2^2 + 86*T1^4*T2^2 + 86*T1^5*T2^2 - 
     191*T1^6*T2^2 + 146*T1^7*T2^2 - 32*T1^8*T2^2 + T1^9*T2^2 - T2^3 + 
     59*T1*T2^3 - 191*T1^2*T2^3 - 114*T1^3*T2^3 + 789*T1^4*T2^3 - 
     1130*T1^5*T2^3 + 789*T1^6*T2^3 - 114*T1^7*T2^3 - 191*T1^8*T2^3 + 
     59*T1^9*T2^3 - T1^10*T2^3 - T2^4 - 67*T1*T2^4 + 86*T1^2*T2^4 + 
     789*T1^3*T2^4 - 1614*T1^4*T2^4 + 810*T1^5*T2^4 + 810*T1^6*T2^4 - 
     1614*T1^7*T2^4 + 789*T1^8*T2^4 + 86*T1^9*T2^4 - 67*T1^10*T2^4 - 
     T1^11*T2^4 + T2^5 + 59*T1*T2^5 + 86*T1^2*T2^5 - 1130*T1^3*T2^5 + 
     810*T1^4*T2^5 + 1862*T1^5*T2^5 - 3176*T1^6*T2^5 + 1862*T1^7*T2^5 + 
     810*T1^8*T2^5 - 1130*T1^9*T2^5 + 86*T1^10*T2^5 + 59*T1^11*T2^5 + 
     T1^12*T2^5 - 32*T1*T2^6 - 191*T1^2*T2^6 + 789*T1^3*T2^6 + 
     810*T1^4*T2^6 - 3176*T1^5*T2^6 + 1546*T1^6*T2^6 + 1546*T1^7*T2^6 - 
     3176*T1^8*T2^6 + 810*T1^9*T2^6 + 789*T1^10*T2^6 - 191*T1^11*T2^6 - 
     32*T1^12*T2^6 + 5*T1*T2^7 + 146*T1^2*T2^7 - 114*T1^3*T2^7 - 
     1614*T1^4*T2^7 + 1862*T1^5*T2^7 + 1546*T1^6*T2^7 - 3000*T1^7*T2^7 + 
     1546*T1^8*T2^7 + 1862*T1^9*T2^7 - 1614*T1^10*T2^7 - 114*T1^11*T2^7 + 
     146*T1^12*T2^7 + 5*T1^13*T2^7 - 32*T1^2*T2^8 - 191*T1^3*T2^8 + 
     789*T1^4*T2^8 + 810*T1^5*T2^8 - 3176*T1^6*T2^8 + 1546*T1^7*T2^8 + 
     1546*T1^8*T2^8 - 3176*T1^9*T2^8 + 810*T1^10*T2^8 + 789*T1^11*T2^8 - 
     191*T1^12*T2^8 - 32*T1^13*T2^8 + T1^2*T2^9 + 59*T1^3*T2^9 + 
     86*T1^4*T2^9 - 1130*T1^5*T2^9 + 810*T1^6*T2^9 + 1862*T1^7*T2^9 - 
     3176*T1^8*T2^9 + 1862*T1^9*T2^9 + 810*T1^10*T2^9 - 1130*T1^11*T2^9 + 
     86*T1^12*T2^9 + 59*T1^13*T2^9 + T1^14*T2^9 - T1^3*T2^10 - 
     67*T1^4*T2^10 + 86*T1^5*T2^10 + 789*T1^6*T2^10 - 1614*T1^7*T2^10 + 
     810*T1^8*T2^10 + 810*T1^9*T2^10 - 1614*T1^10*T2^10 + 789*T1^11*T2^10 + 
     86*T1^12*T2^10 - 67*T1^13*T2^10 - T1^14*T2^10 - T1^4*T2^11 + 
     59*T1^5*T2^11 - 191*T1^6*T2^11 - 114*T1^7*T2^11 + 789*T1^8*T2^11 - 
     1130*T1^9*T2^11 + 789*T1^10*T2^11 - 114*T1^11*T2^11 - 191*T1^12*T2^11 + 
     59*T1^13*T2^11 - T1^14*T2^11 + T1^5*T2^12 - 32*T1^6*T2^12 + 
     146*T1^7*T2^12 - 191*T1^8*T2^12 + 86*T1^9*T2^12 + 86*T1^10*T2^12 - 
     191*T1^11*T2^12 + 146*T1^12*T2^12 - 32*T1^13*T2^12 + T1^14*T2^12 + 
     5*T1^7*T2^13 - 32*T1^8*T2^13 + 59*T1^9*T2^13 - 67*T1^10*T2^13 + 
     59*T1^11*T2^13 - 32*T1^12*T2^13 + 5*T1^13*T2^13 + T1^9*T2^14 - 
     T1^10*T2^14 - T1^11*T2^14 + T1^12*T2^14)/(T1^7*T2^7)}, 
 Knot[12, Alternating, 663] -> 
  {(3 - 17*T + 41*T^2 - 53*T^3 + 41*T^4 - 17*T^5 + 3*T^6)/T^3, 
   (24 - 131*T1 + 309*T1^2 - 398*T1^3 + 309*T1^4 - 131*T1^5 + 24*T1^6 - 
     131*T2 + 580*T1*T2 - 961*T1^2*T2 + 480*T1^3*T2 + 480*T1^4*T2 - 
     961*T1^5*T2 + 580*T1^6*T2 - 131*T1^7*T2 + 309*T2^2 - 961*T1*T2^2 + 
     388*T1^2*T2^2 + 2306*T1^3*T2^2 - 3796*T1^4*T2^2 + 2306*T1^5*T2^2 + 
     388*T1^6*T2^2 - 961*T1^7*T2^2 + 309*T1^8*T2^2 - 398*T2^3 + 480*T1*T2^3 + 
     2306*T1^2*T2^3 - 6050*T1^3*T2^3 + 3289*T1^4*T2^3 + 3289*T1^5*T2^3 - 
     6050*T1^6*T2^3 + 2306*T1^7*T2^3 + 480*T1^8*T2^3 - 398*T1^9*T2^3 + 
     309*T2^4 + 480*T1*T2^4 - 3796*T1^2*T2^4 + 3289*T1^3*T2^4 + 
     6871*T1^4*T2^4 - 13023*T1^5*T2^4 + 6871*T1^6*T2^4 + 3289*T1^7*T2^4 - 
     3796*T1^8*T2^4 + 480*T1^9*T2^4 + 309*T1^10*T2^4 - 131*T2^5 - 
     961*T1*T2^5 + 2306*T1^2*T2^5 + 3289*T1^3*T2^5 - 13023*T1^4*T2^5 + 
     7700*T1^5*T2^5 + 7700*T1^6*T2^5 - 13023*T1^7*T2^5 + 3289*T1^8*T2^5 + 
     2306*T1^9*T2^5 - 961*T1^10*T2^5 - 131*T1^11*T2^5 + 24*T2^6 + 
     580*T1*T2^6 + 388*T1^2*T2^6 - 6050*T1^3*T2^6 + 6871*T1^4*T2^6 + 
     7700*T1^5*T2^6 - 17280*T1^6*T2^6 + 7700*T1^7*T2^6 + 6871*T1^8*T2^6 - 
     6050*T1^9*T2^6 + 388*T1^10*T2^6 + 580*T1^11*T2^6 + 24*T1^12*T2^6 - 
     131*T1*T2^7 - 961*T1^2*T2^7 + 2306*T1^3*T2^7 + 3289*T1^4*T2^7 - 
     13023*T1^5*T2^7 + 7700*T1^6*T2^7 + 7700*T1^7*T2^7 - 13023*T1^8*T2^7 + 
     3289*T1^9*T2^7 + 2306*T1^10*T2^7 - 961*T1^11*T2^7 - 131*T1^12*T2^7 + 
     309*T1^2*T2^8 + 480*T1^3*T2^8 - 3796*T1^4*T2^8 + 3289*T1^5*T2^8 + 
     6871*T1^6*T2^8 - 13023*T1^7*T2^8 + 6871*T1^8*T2^8 + 3289*T1^9*T2^8 - 
     3796*T1^10*T2^8 + 480*T1^11*T2^8 + 309*T1^12*T2^8 - 398*T1^3*T2^9 + 
     480*T1^4*T2^9 + 2306*T1^5*T2^9 - 6050*T1^6*T2^9 + 3289*T1^7*T2^9 + 
     3289*T1^8*T2^9 - 6050*T1^9*T2^9 + 2306*T1^10*T2^9 + 480*T1^11*T2^9 - 
     398*T1^12*T2^9 + 309*T1^4*T2^10 - 961*T1^5*T2^10 + 388*T1^6*T2^10 + 
     2306*T1^7*T2^10 - 3796*T1^8*T2^10 + 2306*T1^9*T2^10 + 388*T1^10*T2^10 - 
     961*T1^11*T2^10 + 309*T1^12*T2^10 - 131*T1^5*T2^11 + 580*T1^6*T2^11 - 
     961*T1^7*T2^11 + 480*T1^8*T2^11 + 480*T1^9*T2^11 - 961*T1^10*T2^11 + 
     580*T1^11*T2^11 - 131*T1^12*T2^11 + 24*T1^6*T2^12 - 131*T1^7*T2^12 + 
     309*T1^8*T2^12 - 398*T1^9*T2^12 + 309*T1^10*T2^12 - 131*T1^11*T2^12 + 
     24*T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   (2 - 16*T1 + 44*T1^2 - 68*T1^3 + 78*T1^4 - 68*T1^5 + 44*T1^6 - 16*T1^7 + 
     2*T1^8 - 16*T2 + 112*T1*T2 - 223*T1^2*T2 + 190*T1^3*T2 - 79*T1^4*T2 - 
     79*T1^5*T2 + 190*T1^6*T2 - 223*T1^7*T2 + 112*T1^8*T2 - 16*T1^9*T2 + 
     44*T2^2 - 223*T1*T2^2 - 4*T1^2*T2^2 + 923*T1^3*T2^2 - 1587*T1^4*T2^2 + 
     1902*T1^5*T2^2 - 1587*T1^6*T2^2 + 923*T1^7*T2^2 - 4*T1^8*T2^2 - 
     223*T1^9*T2^2 + 44*T1^10*T2^2 - 68*T2^3 + 190*T1*T2^3 + 923*T1^2*T2^3 - 
     2566*T1^3*T2^3 + 2050*T1^4*T2^3 - 909*T1^5*T2^3 - 909*T1^6*T2^3 + 
     2050*T1^7*T2^3 - 2566*T1^8*T2^3 + 923*T1^9*T2^3 + 190*T1^10*T2^3 - 
     68*T1^11*T2^3 + 78*T2^4 - 79*T1*T2^4 - 1587*T1^2*T2^4 + 2050*T1^3*T2^4 + 
     1488*T1^4*T2^4 - 3324*T1^5*T2^4 + 4590*T1^6*T2^4 - 3324*T1^7*T2^4 + 
     1488*T1^8*T2^4 + 2050*T1^9*T2^4 - 1587*T1^10*T2^4 - 79*T1^11*T2^4 + 
     78*T1^12*T2^4 - 68*T2^5 - 79*T1*T2^5 + 1902*T1^2*T2^5 - 909*T1^3*T2^5 - 
     3324*T1^4*T2^5 + 2344*T1^5*T2^5 - 1519*T1^6*T2^5 - 1519*T1^7*T2^5 + 
     2344*T1^8*T2^5 - 3324*T1^9*T2^5 - 909*T1^10*T2^5 + 1902*T1^11*T2^5 - 
     79*T1^12*T2^5 - 68*T1^13*T2^5 + 44*T2^6 + 190*T1*T2^6 - 1587*T1^2*T2^6 - 
     909*T1^3*T2^6 + 4590*T1^4*T2^6 - 1519*T1^5*T2^6 + 1019*T1^6*T2^6 + 
     1077*T1^7*T2^6 + 1019*T1^8*T2^6 - 1519*T1^9*T2^6 + 4590*T1^10*T2^6 - 
     909*T1^11*T2^6 - 1587*T1^12*T2^6 + 190*T1^13*T2^6 + 44*T1^14*T2^6 - 
     16*T2^7 - 223*T1*T2^7 + 923*T1^2*T2^7 + 2050*T1^3*T2^7 - 
     3324*T1^4*T2^7 - 1519*T1^5*T2^7 + 1077*T1^6*T2^7 - 1820*T1^7*T2^7 - 
     1820*T1^8*T2^7 + 1077*T1^9*T2^7 - 1519*T1^10*T2^7 - 3324*T1^11*T2^7 + 
     2050*T1^12*T2^7 + 923*T1^13*T2^7 - 223*T1^14*T2^7 - 16*T1^15*T2^7 + 
     2*T2^8 + 112*T1*T2^8 - 4*T1^2*T2^8 - 2566*T1^3*T2^8 + 1488*T1^4*T2^8 + 
     2344*T1^5*T2^8 + 1019*T1^6*T2^8 - 1820*T1^7*T2^8 + 4884*T1^8*T2^8 - 
     1820*T1^9*T2^8 + 1019*T1^10*T2^8 + 2344*T1^11*T2^8 + 1488*T1^12*T2^8 - 
     2566*T1^13*T2^8 - 4*T1^14*T2^8 + 112*T1^15*T2^8 + 2*T1^16*T2^8 - 
     16*T1*T2^9 - 223*T1^2*T2^9 + 923*T1^3*T2^9 + 2050*T1^4*T2^9 - 
     3324*T1^5*T2^9 - 1519*T1^6*T2^9 + 1077*T1^7*T2^9 - 1820*T1^8*T2^9 - 
     1820*T1^9*T2^9 + 1077*T1^10*T2^9 - 1519*T1^11*T2^9 - 3324*T1^12*T2^9 + 
     2050*T1^13*T2^9 + 923*T1^14*T2^9 - 223*T1^15*T2^9 - 16*T1^16*T2^9 + 
     44*T1^2*T2^10 + 190*T1^3*T2^10 - 1587*T1^4*T2^10 - 909*T1^5*T2^10 + 
     4590*T1^6*T2^10 - 1519*T1^7*T2^10 + 1019*T1^8*T2^10 + 1077*T1^9*T2^10 + 
     1019*T1^10*T2^10 - 1519*T1^11*T2^10 + 4590*T1^12*T2^10 - 
     909*T1^13*T2^10 - 1587*T1^14*T2^10 + 190*T1^15*T2^10 + 44*T1^16*T2^10 - 
     68*T1^3*T2^11 - 79*T1^4*T2^11 + 1902*T1^5*T2^11 - 909*T1^6*T2^11 - 
     3324*T1^7*T2^11 + 2344*T1^8*T2^11 - 1519*T1^9*T2^11 - 1519*T1^10*T2^11 + 
     2344*T1^11*T2^11 - 3324*T1^12*T2^11 - 909*T1^13*T2^11 + 
     1902*T1^14*T2^11 - 79*T1^15*T2^11 - 68*T1^16*T2^11 + 78*T1^4*T2^12 - 
     79*T1^5*T2^12 - 1587*T1^6*T2^12 + 2050*T1^7*T2^12 + 1488*T1^8*T2^12 - 
     3324*T1^9*T2^12 + 4590*T1^10*T2^12 - 3324*T1^11*T2^12 + 
     1488*T1^12*T2^12 + 2050*T1^13*T2^12 - 1587*T1^14*T2^12 - 
     79*T1^15*T2^12 + 78*T1^16*T2^12 - 68*T1^5*T2^13 + 190*T1^6*T2^13 + 
     923*T1^7*T2^13 - 2566*T1^8*T2^13 + 2050*T1^9*T2^13 - 909*T1^10*T2^13 - 
     909*T1^11*T2^13 + 2050*T1^12*T2^13 - 2566*T1^13*T2^13 + 
     923*T1^14*T2^13 + 190*T1^15*T2^13 - 68*T1^16*T2^13 + 44*T1^6*T2^14 - 
     223*T1^7*T2^14 - 4*T1^8*T2^14 + 923*T1^9*T2^14 - 1587*T1^10*T2^14 + 
     1902*T1^11*T2^14 - 1587*T1^12*T2^14 + 923*T1^13*T2^14 - 4*T1^14*T2^14 - 
     223*T1^15*T2^14 + 44*T1^16*T2^14 - 16*T1^7*T2^15 + 112*T1^8*T2^15 - 
     223*T1^9*T2^15 + 190*T1^10*T2^15 - 79*T1^11*T2^15 - 79*T1^12*T2^15 + 
     190*T1^13*T2^15 - 223*T1^14*T2^15 + 112*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)/(T1^8*T2^8)}, Knot[12, Alternating, 665] -> 
  {(2 - 17*T + 47*T^2 - 63*T^3 + 47*T^4 - 17*T^5 + 2*T^6)/T^3, 
   (9 - 76*T1 + 210*T1^2 - 281*T1^3 + 210*T1^4 - 76*T1^5 + 9*T1^6 - 76*T2 + 
     566*T1*T2 - 1128*T1^2*T2 + 596*T1^3*T2 + 596*T1^4*T2 - 1128*T1^5*T2 + 
     566*T1^6*T2 - 76*T1^7*T2 + 210*T2^2 - 1128*T1*T2^2 - 229*T1^2*T2^2 + 
     6243*T1^3*T2^2 - 9629*T1^4*T2^2 + 6243*T1^5*T2^2 - 229*T1^6*T2^2 - 
     1128*T1^7*T2^2 + 210*T1^8*T2^2 - 281*T2^3 + 596*T1*T2^3 + 
     6243*T1^2*T2^3 - 16706*T1^3*T2^3 + 9122*T1^4*T2^3 + 9122*T1^5*T2^3 - 
     16706*T1^6*T2^3 + 6243*T1^7*T2^3 + 596*T1^8*T2^3 - 281*T1^9*T2^3 + 
     210*T2^4 + 596*T1*T2^4 - 9629*T1^2*T2^4 + 9122*T1^3*T2^4 + 
     23257*T1^4*T2^4 - 42397*T1^5*T2^4 + 23257*T1^6*T2^4 + 9122*T1^7*T2^4 - 
     9629*T1^8*T2^4 + 596*T1^9*T2^4 + 210*T1^10*T2^4 - 76*T2^5 - 
     1128*T1*T2^5 + 6243*T1^2*T2^5 + 9122*T1^3*T2^5 - 42397*T1^4*T2^5 + 
     24494*T1^5*T2^5 + 24494*T1^6*T2^5 - 42397*T1^7*T2^5 + 9122*T1^8*T2^5 + 
     6243*T1^9*T2^5 - 1128*T1^10*T2^5 - 76*T1^11*T2^5 + 9*T2^6 + 
     566*T1*T2^6 - 229*T1^2*T2^6 - 16706*T1^3*T2^6 + 23257*T1^4*T2^6 + 
     24494*T1^5*T2^6 - 54108*T1^6*T2^6 + 24494*T1^7*T2^6 + 23257*T1^8*T2^6 - 
     16706*T1^9*T2^6 - 229*T1^10*T2^6 + 566*T1^11*T2^6 + 9*T1^12*T2^6 - 
     76*T1*T2^7 - 1128*T1^2*T2^7 + 6243*T1^3*T2^7 + 9122*T1^4*T2^7 - 
     42397*T1^5*T2^7 + 24494*T1^6*T2^7 + 24494*T1^7*T2^7 - 42397*T1^8*T2^7 + 
     9122*T1^9*T2^7 + 6243*T1^10*T2^7 - 1128*T1^11*T2^7 - 76*T1^12*T2^7 + 
     210*T1^2*T2^8 + 596*T1^3*T2^8 - 9629*T1^4*T2^8 + 9122*T1^5*T2^8 + 
     23257*T1^6*T2^8 - 42397*T1^7*T2^8 + 23257*T1^8*T2^8 + 9122*T1^9*T2^8 - 
     9629*T1^10*T2^8 + 596*T1^11*T2^8 + 210*T1^12*T2^8 - 281*T1^3*T2^9 + 
     596*T1^4*T2^9 + 6243*T1^5*T2^9 - 16706*T1^6*T2^9 + 9122*T1^7*T2^9 + 
     9122*T1^8*T2^9 - 16706*T1^9*T2^9 + 6243*T1^10*T2^9 + 596*T1^11*T2^9 - 
     281*T1^12*T2^9 + 210*T1^4*T2^10 - 1128*T1^5*T2^10 - 229*T1^6*T2^10 + 
     6243*T1^7*T2^10 - 9629*T1^8*T2^10 + 6243*T1^9*T2^10 - 229*T1^10*T2^10 - 
     1128*T1^11*T2^10 + 210*T1^12*T2^10 - 76*T1^5*T2^11 + 566*T1^6*T2^11 - 
     1128*T1^7*T2^11 + 596*T1^8*T2^11 + 596*T1^9*T2^11 - 1128*T1^10*T2^11 + 
     566*T1^11*T2^11 - 76*T1^12*T2^11 + 9*T1^6*T2^12 - 76*T1^7*T2^12 + 
     210*T1^8*T2^12 - 281*T1^9*T2^12 + 210*T1^10*T2^12 - 76*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 666] -> 
  {((1 - T + T^2)*(3 - 17*T + 29*T^2 - 17*T^3 + 3*T^4))/T^3, 
   (30 - 199*T1 + 478*T1^2 - 606*T1^3 + 478*T1^4 - 199*T1^5 + 30*T1^6 - 
     199*T2 + 1128*T1*T2 - 1879*T1^2*T2 + 872*T1^3*T2 + 872*T1^4*T2 - 
     1879*T1^5*T2 + 1128*T1^6*T2 - 199*T1^7*T2 + 478*T2^2 - 1879*T1*T2^2 - 
     551*T1^2*T2^2 + 8183*T1^3*T2^2 - 11601*T1^4*T2^2 + 8183*T1^5*T2^2 - 
     551*T1^6*T2^2 - 1879*T1^7*T2^2 + 478*T1^8*T2^2 - 606*T2^3 + 
     872*T1*T2^3 + 8183*T1^2*T2^3 - 18378*T1^3*T2^3 + 8569*T1^4*T2^3 + 
     8569*T1^5*T2^3 - 18378*T1^6*T2^3 + 8183*T1^7*T2^3 + 872*T1^8*T2^3 - 
     606*T1^9*T2^3 + 478*T2^4 + 872*T1*T2^4 - 11601*T1^2*T2^4 + 
     8569*T1^3*T2^4 + 22760*T1^4*T2^4 - 36506*T1^5*T2^4 + 22760*T1^6*T2^4 + 
     8569*T1^7*T2^4 - 11601*T1^8*T2^4 + 872*T1^9*T2^4 + 478*T1^10*T2^4 - 
     199*T2^5 - 1879*T1*T2^5 + 8183*T1^2*T2^5 + 8569*T1^3*T2^5 - 
     36506*T1^4*T2^5 + 17612*T1^5*T2^5 + 17612*T1^6*T2^5 - 36506*T1^7*T2^5 + 
     8569*T1^8*T2^5 + 8183*T1^9*T2^5 - 1879*T1^10*T2^5 - 199*T1^11*T2^5 + 
     30*T2^6 + 1128*T1*T2^6 - 551*T1^2*T2^6 - 18378*T1^3*T2^6 + 
     22760*T1^4*T2^6 + 17612*T1^5*T2^6 - 35616*T1^6*T2^6 + 17612*T1^7*T2^6 + 
     22760*T1^8*T2^6 - 18378*T1^9*T2^6 - 551*T1^10*T2^6 + 1128*T1^11*T2^6 + 
     30*T1^12*T2^6 - 199*T1*T2^7 - 1879*T1^2*T2^7 + 8183*T1^3*T2^7 + 
     8569*T1^4*T2^7 - 36506*T1^5*T2^7 + 17612*T1^6*T2^7 + 17612*T1^7*T2^7 - 
     36506*T1^8*T2^7 + 8569*T1^9*T2^7 + 8183*T1^10*T2^7 - 1879*T1^11*T2^7 - 
     199*T1^12*T2^7 + 478*T1^2*T2^8 + 872*T1^3*T2^8 - 11601*T1^4*T2^8 + 
     8569*T1^5*T2^8 + 22760*T1^6*T2^8 - 36506*T1^7*T2^8 + 22760*T1^8*T2^8 + 
     8569*T1^9*T2^8 - 11601*T1^10*T2^8 + 872*T1^11*T2^8 + 478*T1^12*T2^8 - 
     606*T1^3*T2^9 + 872*T1^4*T2^9 + 8183*T1^5*T2^9 - 18378*T1^6*T2^9 + 
     8569*T1^7*T2^9 + 8569*T1^8*T2^9 - 18378*T1^9*T2^9 + 8183*T1^10*T2^9 + 
     872*T1^11*T2^9 - 606*T1^12*T2^9 + 478*T1^4*T2^10 - 1879*T1^5*T2^10 - 
     551*T1^6*T2^10 + 8183*T1^7*T2^10 - 11601*T1^8*T2^10 + 8183*T1^9*T2^10 - 
     551*T1^10*T2^10 - 1879*T1^11*T2^10 + 478*T1^12*T2^10 - 199*T1^5*T2^11 + 
     1128*T1^6*T2^11 - 1879*T1^7*T2^11 + 872*T1^8*T2^11 + 872*T1^9*T2^11 - 
     1879*T1^10*T2^11 + 1128*T1^11*T2^11 - 199*T1^12*T2^11 + 30*T1^6*T2^12 - 
     199*T1^7*T2^12 + 478*T1^8*T2^12 - 606*T1^9*T2^12 + 478*T1^10*T2^12 - 
     199*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 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, 
   (1 - 3*T1 + 7*T1^2 - 12*T1^3 + 15*T1^4 - 12*T1^5 + 7*T1^6 - 3*T1^7 + 
     T1^8 - 3*T2 + 6*T1*T2 - 12*T1^2*T2 + 15*T1^3*T2 - 9*T1^4*T2 - 
     9*T1^5*T2 + 15*T1^6*T2 - 12*T1^7*T2 + 6*T1^8*T2 - 3*T1^9*T2 + 7*T2^2 - 
     12*T1*T2^2 + 31*T1^2*T2^2 - 53*T1^3*T2^2 + 75*T1^4*T2^2 - 73*T1^5*T2^2 + 
     75*T1^6*T2^2 - 53*T1^7*T2^2 + 31*T1^8*T2^2 - 12*T1^9*T2^2 + 
     7*T1^10*T2^2 - 12*T2^3 + 15*T1*T2^3 - 53*T1^2*T2^3 + 86*T1^3*T2^3 - 
     108*T1^4*T2^3 + 36*T1^5*T2^3 + 36*T1^6*T2^3 - 108*T1^7*T2^3 + 
     86*T1^8*T2^3 - 53*T1^9*T2^3 + 15*T1^10*T2^3 - 12*T1^11*T2^3 + 15*T2^4 - 
     9*T1*T2^4 + 75*T1^2*T2^4 - 108*T1^3*T2^4 + 138*T1^4*T2^4 - 
     19*T1^5*T2^4 + 6*T1^6*T2^4 - 19*T1^7*T2^4 + 138*T1^8*T2^4 - 
     108*T1^9*T2^4 + 75*T1^10*T2^4 - 9*T1^11*T2^4 + 15*T1^12*T2^4 - 12*T2^5 - 
     9*T1*T2^5 - 73*T1^2*T2^5 + 36*T1^3*T2^5 - 19*T1^4*T2^5 - 160*T1^5*T2^5 + 
     33*T1^6*T2^5 + 33*T1^7*T2^5 - 160*T1^8*T2^5 - 19*T1^9*T2^5 + 
     36*T1^10*T2^5 - 73*T1^11*T2^5 - 9*T1^12*T2^5 - 12*T1^13*T2^5 + 7*T2^6 + 
     15*T1*T2^6 + 75*T1^2*T2^6 + 36*T1^3*T2^6 + 6*T1^4*T2^6 + 33*T1^5*T2^6 + 
     359*T1^6*T2^6 - 361*T1^7*T2^6 + 359*T1^8*T2^6 + 33*T1^9*T2^6 + 
     6*T1^10*T2^6 + 36*T1^11*T2^6 + 75*T1^12*T2^6 + 15*T1^13*T2^6 + 
     7*T1^14*T2^6 - 3*T2^7 - 12*T1*T2^7 - 53*T1^2*T2^7 - 108*T1^3*T2^7 - 
     19*T1^4*T2^7 + 33*T1^5*T2^7 - 361*T1^6*T2^7 + 40*T1^7*T2^7 + 
     40*T1^8*T2^7 - 361*T1^9*T2^7 + 33*T1^10*T2^7 - 19*T1^11*T2^7 - 
     108*T1^12*T2^7 - 53*T1^13*T2^7 - 12*T1^14*T2^7 - 3*T1^15*T2^7 + T2^8 + 
     6*T1*T2^8 + 31*T1^2*T2^8 + 86*T1^3*T2^8 + 138*T1^4*T2^8 - 
     160*T1^5*T2^8 + 359*T1^6*T2^8 + 40*T1^7*T2^8 + 72*T1^8*T2^8 + 
     40*T1^9*T2^8 + 359*T1^10*T2^8 - 160*T1^11*T2^8 + 138*T1^12*T2^8 + 
     86*T1^13*T2^8 + 31*T1^14*T2^8 + 6*T1^15*T2^8 + T1^16*T2^8 - 3*T1*T2^9 - 
     12*T1^2*T2^9 - 53*T1^3*T2^9 - 108*T1^4*T2^9 - 19*T1^5*T2^9 + 
     33*T1^6*T2^9 - 361*T1^7*T2^9 + 40*T1^8*T2^9 + 40*T1^9*T2^9 - 
     361*T1^10*T2^9 + 33*T1^11*T2^9 - 19*T1^12*T2^9 - 108*T1^13*T2^9 - 
     53*T1^14*T2^9 - 12*T1^15*T2^9 - 3*T1^16*T2^9 + 7*T1^2*T2^10 + 
     15*T1^3*T2^10 + 75*T1^4*T2^10 + 36*T1^5*T2^10 + 6*T1^6*T2^10 + 
     33*T1^7*T2^10 + 359*T1^8*T2^10 - 361*T1^9*T2^10 + 359*T1^10*T2^10 + 
     33*T1^11*T2^10 + 6*T1^12*T2^10 + 36*T1^13*T2^10 + 75*T1^14*T2^10 + 
     15*T1^15*T2^10 + 7*T1^16*T2^10 - 12*T1^3*T2^11 - 9*T1^4*T2^11 - 
     73*T1^5*T2^11 + 36*T1^6*T2^11 - 19*T1^7*T2^11 - 160*T1^8*T2^11 + 
     33*T1^9*T2^11 + 33*T1^10*T2^11 - 160*T1^11*T2^11 - 19*T1^12*T2^11 + 
     36*T1^13*T2^11 - 73*T1^14*T2^11 - 9*T1^15*T2^11 - 12*T1^16*T2^11 + 
     15*T1^4*T2^12 - 9*T1^5*T2^12 + 75*T1^6*T2^12 - 108*T1^7*T2^12 + 
     138*T1^8*T2^12 - 19*T1^9*T2^12 + 6*T1^10*T2^12 - 19*T1^11*T2^12 + 
     138*T1^12*T2^12 - 108*T1^13*T2^12 + 75*T1^14*T2^12 - 9*T1^15*T2^12 + 
     15*T1^16*T2^12 - 12*T1^5*T2^13 + 15*T1^6*T2^13 - 53*T1^7*T2^13 + 
     86*T1^8*T2^13 - 108*T1^9*T2^13 + 36*T1^10*T2^13 + 36*T1^11*T2^13 - 
     108*T1^12*T2^13 + 86*T1^13*T2^13 - 53*T1^14*T2^13 + 15*T1^15*T2^13 - 
     12*T1^16*T2^13 + 7*T1^6*T2^14 - 12*T1^7*T2^14 + 31*T1^8*T2^14 - 
     53*T1^9*T2^14 + 75*T1^10*T2^14 - 73*T1^11*T2^14 + 75*T1^12*T2^14 - 
     53*T1^13*T2^14 + 31*T1^14*T2^14 - 12*T1^15*T2^14 + 7*T1^16*T2^14 - 
     3*T1^7*T2^15 + 6*T1^8*T2^15 - 12*T1^9*T2^15 + 15*T1^10*T2^15 - 
     9*T1^11*T2^15 - 9*T1^12*T2^15 + 15*T1^13*T2^15 - 12*T1^14*T2^15 + 
     6*T1^15*T2^15 - 3*T1^16*T2^15 + T1^8*T2^16 - 3*T1^9*T2^16 + 
     7*T1^10*T2^16 - 12*T1^11*T2^16 + 15*T1^12*T2^16 - 12*T1^13*T2^16 + 
     7*T1^14*T2^16 - 3*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 668] -> {((1 - T + T^2)^3*(2 - 3*T + 2*T^2))/T^4, 
   (1 - 4*T1 + 10*T1^2 - 16*T1^3 + 19*T1^4 - 16*T1^5 + 10*T1^6 - 4*T1^7 + 
     T1^8 - 4*T2 + 12*T1*T2 - 24*T1^2*T2 + 24*T1^3*T2 - 12*T1^4*T2 - 
     12*T1^5*T2 + 24*T1^6*T2 - 24*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 
     10*T2^2 - 24*T1*T2^2 + 52*T1^2*T2^2 - 70*T1^3*T2^2 + 110*T1^4*T2^2 - 
     118*T1^5*T2^2 + 110*T1^6*T2^2 - 70*T1^7*T2^2 + 52*T1^8*T2^2 - 
     24*T1^9*T2^2 + 10*T1^10*T2^2 - 16*T2^3 + 24*T1*T2^3 - 70*T1^2*T2^3 + 
     106*T1^3*T2^3 - 192*T1^4*T2^3 + 80*T1^5*T2^3 + 80*T1^6*T2^3 - 
     192*T1^7*T2^3 + 106*T1^8*T2^3 - 70*T1^9*T2^3 + 24*T1^10*T2^3 - 
     16*T1^11*T2^3 + 19*T2^4 - 12*T1*T2^4 + 110*T1^2*T2^4 - 192*T1^3*T2^4 + 
     361*T1^4*T2^4 - 90*T1^5*T2^4 - 3*T1^6*T2^4 - 90*T1^7*T2^4 + 
     361*T1^8*T2^4 - 192*T1^9*T2^4 + 110*T1^10*T2^4 - 12*T1^11*T2^4 + 
     19*T1^12*T2^4 - 16*T2^5 - 12*T1*T2^5 - 118*T1^2*T2^5 + 80*T1^3*T2^5 - 
     90*T1^4*T2^5 - 500*T1^5*T2^5 + 214*T1^6*T2^5 + 214*T1^7*T2^5 - 
     500*T1^8*T2^5 - 90*T1^9*T2^5 + 80*T1^10*T2^5 - 118*T1^11*T2^5 - 
     12*T1^12*T2^5 - 16*T1^13*T2^5 + 10*T2^6 + 24*T1*T2^6 + 110*T1^2*T2^6 + 
     80*T1^3*T2^6 - 3*T1^4*T2^6 + 214*T1^5*T2^6 + 1170*T1^6*T2^6 - 
     1624*T1^7*T2^6 + 1170*T1^8*T2^6 + 214*T1^9*T2^6 - 3*T1^10*T2^6 + 
     80*T1^11*T2^6 + 110*T1^12*T2^6 + 24*T1^13*T2^6 + 10*T1^14*T2^6 - 
     4*T2^7 - 24*T1*T2^7 - 70*T1^2*T2^7 - 192*T1^3*T2^7 - 90*T1^4*T2^7 + 
     214*T1^5*T2^7 - 1624*T1^6*T2^7 + 666*T1^7*T2^7 + 666*T1^8*T2^7 - 
     1624*T1^9*T2^7 + 214*T1^10*T2^7 - 90*T1^11*T2^7 - 192*T1^12*T2^7 - 
     70*T1^13*T2^7 - 24*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 
     52*T1^2*T2^8 + 106*T1^3*T2^8 + 361*T1^4*T2^8 - 500*T1^5*T2^8 + 
     1170*T1^6*T2^8 + 666*T1^7*T2^8 - 1212*T1^8*T2^8 + 666*T1^9*T2^8 + 
     1170*T1^10*T2^8 - 500*T1^11*T2^8 + 361*T1^12*T2^8 + 106*T1^13*T2^8 + 
     52*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 24*T1^2*T2^9 - 
     70*T1^3*T2^9 - 192*T1^4*T2^9 - 90*T1^5*T2^9 + 214*T1^6*T2^9 - 
     1624*T1^7*T2^9 + 666*T1^8*T2^9 + 666*T1^9*T2^9 - 1624*T1^10*T2^9 + 
     214*T1^11*T2^9 - 90*T1^12*T2^9 - 192*T1^13*T2^9 - 70*T1^14*T2^9 - 
     24*T1^15*T2^9 - 4*T1^16*T2^9 + 10*T1^2*T2^10 + 24*T1^3*T2^10 + 
     110*T1^4*T2^10 + 80*T1^5*T2^10 - 3*T1^6*T2^10 + 214*T1^7*T2^10 + 
     1170*T1^8*T2^10 - 1624*T1^9*T2^10 + 1170*T1^10*T2^10 + 214*T1^11*T2^10 - 
     3*T1^12*T2^10 + 80*T1^13*T2^10 + 110*T1^14*T2^10 + 24*T1^15*T2^10 + 
     10*T1^16*T2^10 - 16*T1^3*T2^11 - 12*T1^4*T2^11 - 118*T1^5*T2^11 + 
     80*T1^6*T2^11 - 90*T1^7*T2^11 - 500*T1^8*T2^11 + 214*T1^9*T2^11 + 
     214*T1^10*T2^11 - 500*T1^11*T2^11 - 90*T1^12*T2^11 + 80*T1^13*T2^11 - 
     118*T1^14*T2^11 - 12*T1^15*T2^11 - 16*T1^16*T2^11 + 19*T1^4*T2^12 - 
     12*T1^5*T2^12 + 110*T1^6*T2^12 - 192*T1^7*T2^12 + 361*T1^8*T2^12 - 
     90*T1^9*T2^12 - 3*T1^10*T2^12 - 90*T1^11*T2^12 + 361*T1^12*T2^12 - 
     192*T1^13*T2^12 + 110*T1^14*T2^12 - 12*T1^15*T2^12 + 19*T1^16*T2^12 - 
     16*T1^5*T2^13 + 24*T1^6*T2^13 - 70*T1^7*T2^13 + 106*T1^8*T2^13 - 
     192*T1^9*T2^13 + 80*T1^10*T2^13 + 80*T1^11*T2^13 - 192*T1^12*T2^13 + 
     106*T1^13*T2^13 - 70*T1^14*T2^13 + 24*T1^15*T2^13 - 16*T1^16*T2^13 + 
     10*T1^6*T2^14 - 24*T1^7*T2^14 + 52*T1^8*T2^14 - 70*T1^9*T2^14 + 
     110*T1^10*T2^14 - 118*T1^11*T2^14 + 110*T1^12*T2^14 - 70*T1^13*T2^14 + 
     52*T1^14*T2^14 - 24*T1^15*T2^14 + 10*T1^16*T2^14 - 4*T1^7*T2^15 + 
     12*T1^8*T2^15 - 24*T1^9*T2^15 + 24*T1^10*T2^15 - 12*T1^11*T2^15 - 
     12*T1^12*T2^15 + 24*T1^13*T2^15 - 24*T1^14*T2^15 + 12*T1^15*T2^15 - 
     4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 10*T1^10*T2^16 - 
     16*T1^11*T2^16 + 19*T1^12*T2^16 - 16*T1^13*T2^16 + 10*T1^14*T2^16 - 
     4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 669] -> 
  {(3 - 9*T + 14*T^2 - 15*T^3 + 14*T^4 - 9*T^5 + 3*T^6)/T^3, 
   -((18 - 54*T1 + 80*T1^2 - 84*T1^3 + 80*T1^4 - 54*T1^5 + 18*T1^6 - 54*T2 + 
      108*T1*T2 - 78*T1^2*T2 + 12*T1^3*T2 + 12*T1^4*T2 - 78*T1^5*T2 + 
      108*T1^6*T2 - 54*T1^7*T2 + 80*T2^2 - 78*T1*T2^2 - 87*T1^2*T2^2 + 
      211*T1^3*T2^2 - 193*T1^4*T2^2 + 211*T1^5*T2^2 - 87*T1^6*T2^2 - 
      78*T1^7*T2^2 + 80*T1^8*T2^2 - 84*T2^3 + 12*T1*T2^3 + 211*T1^2*T2^3 - 
      228*T1^3*T2^3 + 55*T1^4*T2^3 + 55*T1^5*T2^3 - 228*T1^6*T2^3 + 
      211*T1^7*T2^3 + 12*T1^8*T2^3 - 84*T1^9*T2^3 + 80*T2^4 + 12*T1*T2^4 - 
      193*T1^2*T2^4 + 55*T1^3*T2^4 + 168*T1^4*T2^4 - 236*T1^5*T2^4 + 
      168*T1^6*T2^4 + 55*T1^7*T2^4 - 193*T1^8*T2^4 + 12*T1^9*T2^4 + 
      80*T1^10*T2^4 - 54*T2^5 - 78*T1*T2^5 + 211*T1^2*T2^5 + 55*T1^3*T2^5 - 
      236*T1^4*T2^5 + 148*T1^5*T2^5 + 148*T1^6*T2^5 - 236*T1^7*T2^5 + 
      55*T1^8*T2^5 + 211*T1^9*T2^5 - 78*T1^10*T2^5 - 54*T1^11*T2^5 + 
      18*T2^6 + 108*T1*T2^6 - 87*T1^2*T2^6 - 228*T1^3*T2^6 + 168*T1^4*T2^6 + 
      148*T1^5*T2^6 - 396*T1^6*T2^6 + 148*T1^7*T2^6 + 168*T1^8*T2^6 - 
      228*T1^9*T2^6 - 87*T1^10*T2^6 + 108*T1^11*T2^6 + 18*T1^12*T2^6 - 
      54*T1*T2^7 - 78*T1^2*T2^7 + 211*T1^3*T2^7 + 55*T1^4*T2^7 - 
      236*T1^5*T2^7 + 148*T1^6*T2^7 + 148*T1^7*T2^7 - 236*T1^8*T2^7 + 
      55*T1^9*T2^7 + 211*T1^10*T2^7 - 78*T1^11*T2^7 - 54*T1^12*T2^7 + 
      80*T1^2*T2^8 + 12*T1^3*T2^8 - 193*T1^4*T2^8 + 55*T1^5*T2^8 + 
      168*T1^6*T2^8 - 236*T1^7*T2^8 + 168*T1^8*T2^8 + 55*T1^9*T2^8 - 
      193*T1^10*T2^8 + 12*T1^11*T2^8 + 80*T1^12*T2^8 - 84*T1^3*T2^9 + 
      12*T1^4*T2^9 + 211*T1^5*T2^9 - 228*T1^6*T2^9 + 55*T1^7*T2^9 + 
      55*T1^8*T2^9 - 228*T1^9*T2^9 + 211*T1^10*T2^9 + 12*T1^11*T2^9 - 
      84*T1^12*T2^9 + 80*T1^4*T2^10 - 78*T1^5*T2^10 - 87*T1^6*T2^10 + 
      211*T1^7*T2^10 - 193*T1^8*T2^10 + 211*T1^9*T2^10 - 87*T1^10*T2^10 - 
      78*T1^11*T2^10 + 80*T1^12*T2^10 - 54*T1^5*T2^11 + 108*T1^6*T2^11 - 
      78*T1^7*T2^11 + 12*T1^8*T2^11 + 12*T1^9*T2^11 - 78*T1^10*T2^11 + 
      108*T1^11*T2^11 - 54*T1^12*T2^11 + 18*T1^6*T2^12 - 54*T1^7*T2^12 + 
      80*T1^8*T2^12 - 84*T1^9*T2^12 + 80*T1^10*T2^12 - 54*T1^11*T2^12 + 
      18*T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   (1 - 5*T1 + 12*T1^2 - 19*T1^3 + 23*T1^4 - 19*T1^5 + 12*T1^6 - 5*T1^7 + 
     T1^8 - 5*T2 + 20*T1*T2 - 35*T1^2*T2 + 35*T1^3*T2 - 20*T1^4*T2 - 
     20*T1^5*T2 + 35*T1^6*T2 - 35*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
     12*T2^2 - 35*T1*T2^2 + 39*T1^2*T2^2 - 26*T1^3*T2^2 + 34*T1^4*T2^2 + 
     5*T1^5*T2^2 + 34*T1^6*T2^2 - 26*T1^7*T2^2 + 39*T1^8*T2^2 - 
     35*T1^9*T2^2 + 12*T1^10*T2^2 - 19*T2^3 + 35*T1*T2^3 - 26*T1^2*T2^3 + 
     62*T1^3*T2^3 - 159*T1^4*T2^3 + 7*T1^5*T2^3 + 7*T1^6*T2^3 - 
     159*T1^7*T2^3 + 62*T1^8*T2^3 - 26*T1^9*T2^3 + 35*T1^10*T2^3 - 
     19*T1^11*T2^3 + 23*T2^4 - 20*T1*T2^4 + 34*T1^2*T2^4 - 159*T1^3*T2^4 + 
     208*T1^4*T2^4 + 385*T1^5*T2^4 - 356*T1^6*T2^4 + 385*T1^7*T2^4 + 
     208*T1^8*T2^4 - 159*T1^9*T2^4 + 34*T1^10*T2^4 - 20*T1^11*T2^4 + 
     23*T1^12*T2^4 - 19*T2^5 - 20*T1*T2^5 + 5*T1^2*T2^5 + 7*T1^3*T2^5 + 
     385*T1^4*T2^5 - 1392*T1^5*T2^5 + 358*T1^6*T2^5 + 358*T1^7*T2^5 - 
     1392*T1^8*T2^5 + 385*T1^9*T2^5 + 7*T1^10*T2^5 + 5*T1^11*T2^5 - 
     20*T1^12*T2^5 - 19*T1^13*T2^5 + 12*T2^6 + 35*T1*T2^6 + 34*T1^2*T2^6 + 
     7*T1^3*T2^6 - 356*T1^4*T2^6 + 358*T1^5*T2^6 + 2667*T1^6*T2^6 - 
     3063*T1^7*T2^6 + 2667*T1^8*T2^6 + 358*T1^9*T2^6 - 356*T1^10*T2^6 + 
     7*T1^11*T2^6 + 34*T1^12*T2^6 + 35*T1^13*T2^6 + 12*T1^14*T2^6 - 5*T2^7 - 
     35*T1*T2^7 - 26*T1^2*T2^7 - 159*T1^3*T2^7 + 385*T1^4*T2^7 + 
     358*T1^5*T2^7 - 3063*T1^6*T2^7 + 798*T1^7*T2^7 + 798*T1^8*T2^7 - 
     3063*T1^9*T2^7 + 358*T1^10*T2^7 + 385*T1^11*T2^7 - 159*T1^12*T2^7 - 
     26*T1^13*T2^7 - 35*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 
     39*T1^2*T2^8 + 62*T1^3*T2^8 + 208*T1^4*T2^8 - 1392*T1^5*T2^8 + 
     2667*T1^6*T2^8 + 798*T1^7*T2^8 - 876*T1^8*T2^8 + 798*T1^9*T2^8 + 
     2667*T1^10*T2^8 - 1392*T1^11*T2^8 + 208*T1^12*T2^8 + 62*T1^13*T2^8 + 
     39*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 35*T1^2*T2^9 - 
     26*T1^3*T2^9 - 159*T1^4*T2^9 + 385*T1^5*T2^9 + 358*T1^6*T2^9 - 
     3063*T1^7*T2^9 + 798*T1^8*T2^9 + 798*T1^9*T2^9 - 3063*T1^10*T2^9 + 
     358*T1^11*T2^9 + 385*T1^12*T2^9 - 159*T1^13*T2^9 - 26*T1^14*T2^9 - 
     35*T1^15*T2^9 - 5*T1^16*T2^9 + 12*T1^2*T2^10 + 35*T1^3*T2^10 + 
     34*T1^4*T2^10 + 7*T1^5*T2^10 - 356*T1^6*T2^10 + 358*T1^7*T2^10 + 
     2667*T1^8*T2^10 - 3063*T1^9*T2^10 + 2667*T1^10*T2^10 + 358*T1^11*T2^10 - 
     356*T1^12*T2^10 + 7*T1^13*T2^10 + 34*T1^14*T2^10 + 35*T1^15*T2^10 + 
     12*T1^16*T2^10 - 19*T1^3*T2^11 - 20*T1^4*T2^11 + 5*T1^5*T2^11 + 
     7*T1^6*T2^11 + 385*T1^7*T2^11 - 1392*T1^8*T2^11 + 358*T1^9*T2^11 + 
     358*T1^10*T2^11 - 1392*T1^11*T2^11 + 385*T1^12*T2^11 + 7*T1^13*T2^11 + 
     5*T1^14*T2^11 - 20*T1^15*T2^11 - 19*T1^16*T2^11 + 23*T1^4*T2^12 - 
     20*T1^5*T2^12 + 34*T1^6*T2^12 - 159*T1^7*T2^12 + 208*T1^8*T2^12 + 
     385*T1^9*T2^12 - 356*T1^10*T2^12 + 385*T1^11*T2^12 + 208*T1^12*T2^12 - 
     159*T1^13*T2^12 + 34*T1^14*T2^12 - 20*T1^15*T2^12 + 23*T1^16*T2^12 - 
     19*T1^5*T2^13 + 35*T1^6*T2^13 - 26*T1^7*T2^13 + 62*T1^8*T2^13 - 
     159*T1^9*T2^13 + 7*T1^10*T2^13 + 7*T1^11*T2^13 - 159*T1^12*T2^13 + 
     62*T1^13*T2^13 - 26*T1^14*T2^13 + 35*T1^15*T2^13 - 19*T1^16*T2^13 + 
     12*T1^6*T2^14 - 35*T1^7*T2^14 + 39*T1^8*T2^14 - 26*T1^9*T2^14 + 
     34*T1^10*T2^14 + 5*T1^11*T2^14 + 34*T1^12*T2^14 - 26*T1^13*T2^14 + 
     39*T1^14*T2^14 - 35*T1^15*T2^14 + 12*T1^16*T2^14 - 5*T1^7*T2^15 + 
     20*T1^8*T2^15 - 35*T1^9*T2^15 + 35*T1^10*T2^15 - 20*T1^11*T2^15 - 
     20*T1^12*T2^15 + 35*T1^13*T2^15 - 35*T1^14*T2^15 + 20*T1^15*T2^15 - 
     5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 12*T1^10*T2^16 - 
     19*T1^11*T2^16 + 23*T1^12*T2^16 - 19*T1^13*T2^16 + 12*T1^14*T2^16 - 
     5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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, (17 - 76*T1 + 185*T1^2 - 284*T1^3 + 325*T1^4 - 284*T1^5 + 185*T1^6 - 
     76*T1^7 + 17*T1^8 - 76*T2 + 264*T1*T2 - 488*T1^2*T2 + 444*T1^3*T2 - 
     184*T1^4*T2 - 184*T1^5*T2 + 444*T1^6*T2 - 488*T1^7*T2 + 264*T1^8*T2 - 
     76*T1^9*T2 + 185*T2^2 - 488*T1*T2^2 + 664*T1^2*T2^2 - 152*T1^3*T2^2 - 
     281*T1^4*T2^2 + 508*T1^5*T2^2 - 281*T1^6*T2^2 - 152*T1^7*T2^2 + 
     664*T1^8*T2^2 - 488*T1^9*T2^2 + 185*T1^10*T2^2 - 284*T2^3 + 
     444*T1*T2^3 - 152*T1^2*T2^3 - 1050*T1^3*T2^3 + 980*T1^4*T2^3 - 
     483*T1^5*T2^3 - 483*T1^6*T2^3 + 980*T1^7*T2^3 - 1050*T1^8*T2^3 - 
     152*T1^9*T2^3 + 444*T1^10*T2^3 - 284*T1^11*T2^3 + 325*T2^4 - 
     184*T1*T2^4 - 281*T1^2*T2^4 + 980*T1^3*T2^4 + 1231*T1^4*T2^4 - 
     2626*T1^5*T2^4 + 3519*T1^6*T2^4 - 2626*T1^7*T2^4 + 1231*T1^8*T2^4 + 
     980*T1^9*T2^4 - 281*T1^10*T2^4 - 184*T1^11*T2^4 + 325*T1^12*T2^4 - 
     284*T2^5 - 184*T1*T2^5 + 508*T1^2*T2^5 - 483*T1^3*T2^5 - 
     2626*T1^4*T2^5 + 2148*T1^5*T2^5 - 1179*T1^6*T2^5 - 1179*T1^7*T2^5 + 
     2148*T1^8*T2^5 - 2626*T1^9*T2^5 - 483*T1^10*T2^5 + 508*T1^11*T2^5 - 
     184*T1^12*T2^5 - 284*T1^13*T2^5 + 185*T2^6 + 444*T1*T2^6 - 
     281*T1^2*T2^6 - 483*T1^3*T2^6 + 3519*T1^4*T2^6 - 1179*T1^5*T2^6 + 
     485*T1^6*T2^6 + 669*T1^7*T2^6 + 485*T1^8*T2^6 - 1179*T1^9*T2^6 + 
     3519*T1^10*T2^6 - 483*T1^11*T2^6 - 281*T1^12*T2^6 + 444*T1^13*T2^6 + 
     185*T1^14*T2^6 - 76*T2^7 - 488*T1*T2^7 - 152*T1^2*T2^7 + 980*T1^3*T2^7 - 
     2626*T1^4*T2^7 - 1179*T1^5*T2^7 + 669*T1^6*T2^7 - 844*T1^7*T2^7 - 
     844*T1^8*T2^7 + 669*T1^9*T2^7 - 1179*T1^10*T2^7 - 2626*T1^11*T2^7 + 
     980*T1^12*T2^7 - 152*T1^13*T2^7 - 488*T1^14*T2^7 - 76*T1^15*T2^7 + 
     17*T2^8 + 264*T1*T2^8 + 664*T1^2*T2^8 - 1050*T1^3*T2^8 + 
     1231*T1^4*T2^8 + 2148*T1^5*T2^8 + 485*T1^6*T2^8 - 844*T1^7*T2^8 + 
     2112*T1^8*T2^8 - 844*T1^9*T2^8 + 485*T1^10*T2^8 + 2148*T1^11*T2^8 + 
     1231*T1^12*T2^8 - 1050*T1^13*T2^8 + 664*T1^14*T2^8 + 264*T1^15*T2^8 + 
     17*T1^16*T2^8 - 76*T1*T2^9 - 488*T1^2*T2^9 - 152*T1^3*T2^9 + 
     980*T1^4*T2^9 - 2626*T1^5*T2^9 - 1179*T1^6*T2^9 + 669*T1^7*T2^9 - 
     844*T1^8*T2^9 - 844*T1^9*T2^9 + 669*T1^10*T2^9 - 1179*T1^11*T2^9 - 
     2626*T1^12*T2^9 + 980*T1^13*T2^9 - 152*T1^14*T2^9 - 488*T1^15*T2^9 - 
     76*T1^16*T2^9 + 185*T1^2*T2^10 + 444*T1^3*T2^10 - 281*T1^4*T2^10 - 
     483*T1^5*T2^10 + 3519*T1^6*T2^10 - 1179*T1^7*T2^10 + 485*T1^8*T2^10 + 
     669*T1^9*T2^10 + 485*T1^10*T2^10 - 1179*T1^11*T2^10 + 3519*T1^12*T2^10 - 
     483*T1^13*T2^10 - 281*T1^14*T2^10 + 444*T1^15*T2^10 + 185*T1^16*T2^10 - 
     284*T1^3*T2^11 - 184*T1^4*T2^11 + 508*T1^5*T2^11 - 483*T1^6*T2^11 - 
     2626*T1^7*T2^11 + 2148*T1^8*T2^11 - 1179*T1^9*T2^11 - 1179*T1^10*T2^11 + 
     2148*T1^11*T2^11 - 2626*T1^12*T2^11 - 483*T1^13*T2^11 + 
     508*T1^14*T2^11 - 184*T1^15*T2^11 - 284*T1^16*T2^11 + 325*T1^4*T2^12 - 
     184*T1^5*T2^12 - 281*T1^6*T2^12 + 980*T1^7*T2^12 + 1231*T1^8*T2^12 - 
     2626*T1^9*T2^12 + 3519*T1^10*T2^12 - 2626*T1^11*T2^12 + 
     1231*T1^12*T2^12 + 980*T1^13*T2^12 - 281*T1^14*T2^12 - 184*T1^15*T2^12 + 
     325*T1^16*T2^12 - 284*T1^5*T2^13 + 444*T1^6*T2^13 - 152*T1^7*T2^13 - 
     1050*T1^8*T2^13 + 980*T1^9*T2^13 - 483*T1^10*T2^13 - 483*T1^11*T2^13 + 
     980*T1^12*T2^13 - 1050*T1^13*T2^13 - 152*T1^14*T2^13 + 444*T1^15*T2^13 - 
     284*T1^16*T2^13 + 185*T1^6*T2^14 - 488*T1^7*T2^14 + 664*T1^8*T2^14 - 
     152*T1^9*T2^14 - 281*T1^10*T2^14 + 508*T1^11*T2^14 - 281*T1^12*T2^14 - 
     152*T1^13*T2^14 + 664*T1^14*T2^14 - 488*T1^15*T2^14 + 185*T1^16*T2^14 - 
     76*T1^7*T2^15 + 264*T1^8*T2^15 - 488*T1^9*T2^15 + 444*T1^10*T2^15 - 
     184*T1^11*T2^15 - 184*T1^12*T2^15 + 444*T1^13*T2^15 - 488*T1^14*T2^15 + 
     264*T1^15*T2^15 - 76*T1^16*T2^15 + 17*T1^8*T2^16 - 76*T1^9*T2^16 + 
     185*T1^10*T2^16 - 284*T1^11*T2^16 + 325*T1^12*T2^16 - 284*T1^13*T2^16 + 
     185*T1^14*T2^16 - 76*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 672] -> {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)^3)/T^4), 
   -((9 - 49*T1 + 128*T1^2 - 219*T1^3 + 257*T1^4 - 219*T1^5 + 128*T1^6 - 
      49*T1^7 + 9*T1^8 - 49*T2 + 218*T1*T2 - 431*T1^2*T2 + 497*T1^3*T2 - 
      208*T1^4*T2 - 208*T1^5*T2 + 497*T1^6*T2 - 431*T1^7*T2 + 218*T1^8*T2 - 
      49*T1^9*T2 + 128*T2^2 - 431*T1*T2^2 + 490*T1^2*T2^2 + 18*T1^3*T2^2 - 
      1098*T1^4*T2^2 + 1504*T1^5*T2^2 - 1098*T1^6*T2^2 + 18*T1^7*T2^2 + 
      490*T1^8*T2^2 - 431*T1^9*T2^2 + 128*T1^10*T2^2 - 219*T2^3 + 
      497*T1*T2^3 + 18*T1^2*T2^3 - 1138*T1^3*T2^3 + 2186*T1^4*T2^3 - 
      863*T1^5*T2^3 - 863*T1^6*T2^3 + 2186*T1^7*T2^3 - 1138*T1^8*T2^3 + 
      18*T1^9*T2^3 + 497*T1^10*T2^3 - 219*T1^11*T2^3 + 257*T2^4 - 
      208*T1*T2^4 - 1098*T1^2*T2^4 + 2186*T1^3*T2^4 - 2149*T1^4*T2^4 - 
      1136*T1^5*T2^4 + 1891*T1^6*T2^4 - 1136*T1^7*T2^4 - 2149*T1^8*T2^4 + 
      2186*T1^9*T2^4 - 1098*T1^10*T2^4 - 208*T1^11*T2^4 + 257*T1^12*T2^4 - 
      219*T2^5 - 208*T1*T2^5 + 1504*T1^2*T2^5 - 863*T1^3*T2^5 - 
      1136*T1^4*T2^5 + 4838*T1^5*T2^5 - 1578*T1^6*T2^5 - 1578*T1^7*T2^5 + 
      4838*T1^8*T2^5 - 1136*T1^9*T2^5 - 863*T1^10*T2^5 + 1504*T1^11*T2^5 - 
      208*T1^12*T2^5 - 219*T1^13*T2^5 + 128*T2^6 + 497*T1*T2^6 - 
      1098*T1^2*T2^6 - 863*T1^3*T2^6 + 1891*T1^4*T2^6 - 1578*T1^5*T2^6 - 
      6764*T1^6*T2^6 + 8232*T1^7*T2^6 - 6764*T1^8*T2^6 - 1578*T1^9*T2^6 + 
      1891*T1^10*T2^6 - 863*T1^11*T2^6 - 1098*T1^12*T2^6 + 497*T1^13*T2^6 + 
      128*T1^14*T2^6 - 49*T2^7 - 431*T1*T2^7 + 18*T1^2*T2^7 + 
      2186*T1^3*T2^7 - 1136*T1^4*T2^7 - 1578*T1^5*T2^7 + 8232*T1^6*T2^7 - 
      2474*T1^7*T2^7 - 2474*T1^8*T2^7 + 8232*T1^9*T2^7 - 1578*T1^10*T2^7 - 
      1136*T1^11*T2^7 + 2186*T1^12*T2^7 + 18*T1^13*T2^7 - 431*T1^14*T2^7 - 
      49*T1^15*T2^7 + 9*T2^8 + 218*T1*T2^8 + 490*T1^2*T2^8 - 1138*T1^3*T2^8 - 
      2149*T1^4*T2^8 + 4838*T1^5*T2^8 - 6764*T1^6*T2^8 - 2474*T1^7*T2^8 + 
      3552*T1^8*T2^8 - 2474*T1^9*T2^8 - 6764*T1^10*T2^8 + 4838*T1^11*T2^8 - 
      2149*T1^12*T2^8 - 1138*T1^13*T2^8 + 490*T1^14*T2^8 + 218*T1^15*T2^8 + 
      9*T1^16*T2^8 - 49*T1*T2^9 - 431*T1^2*T2^9 + 18*T1^3*T2^9 + 
      2186*T1^4*T2^9 - 1136*T1^5*T2^9 - 1578*T1^6*T2^9 + 8232*T1^7*T2^9 - 
      2474*T1^8*T2^9 - 2474*T1^9*T2^9 + 8232*T1^10*T2^9 - 1578*T1^11*T2^9 - 
      1136*T1^12*T2^9 + 2186*T1^13*T2^9 + 18*T1^14*T2^9 - 431*T1^15*T2^9 - 
      49*T1^16*T2^9 + 128*T1^2*T2^10 + 497*T1^3*T2^10 - 1098*T1^4*T2^10 - 
      863*T1^5*T2^10 + 1891*T1^6*T2^10 - 1578*T1^7*T2^10 - 6764*T1^8*T2^10 + 
      8232*T1^9*T2^10 - 6764*T1^10*T2^10 - 1578*T1^11*T2^10 + 
      1891*T1^12*T2^10 - 863*T1^13*T2^10 - 1098*T1^14*T2^10 + 
      497*T1^15*T2^10 + 128*T1^16*T2^10 - 219*T1^3*T2^11 - 208*T1^4*T2^11 + 
      1504*T1^5*T2^11 - 863*T1^6*T2^11 - 1136*T1^7*T2^11 + 4838*T1^8*T2^11 - 
      1578*T1^9*T2^11 - 1578*T1^10*T2^11 + 4838*T1^11*T2^11 - 
      1136*T1^12*T2^11 - 863*T1^13*T2^11 + 1504*T1^14*T2^11 - 
      208*T1^15*T2^11 - 219*T1^16*T2^11 + 257*T1^4*T2^12 - 208*T1^5*T2^12 - 
      1098*T1^6*T2^12 + 2186*T1^7*T2^12 - 2149*T1^8*T2^12 - 1136*T1^9*T2^12 + 
      1891*T1^10*T2^12 - 1136*T1^11*T2^12 - 2149*T1^12*T2^12 + 
      2186*T1^13*T2^12 - 1098*T1^14*T2^12 - 208*T1^15*T2^12 + 
      257*T1^16*T2^12 - 219*T1^5*T2^13 + 497*T1^6*T2^13 + 18*T1^7*T2^13 - 
      1138*T1^8*T2^13 + 2186*T1^9*T2^13 - 863*T1^10*T2^13 - 863*T1^11*T2^13 + 
      2186*T1^12*T2^13 - 1138*T1^13*T2^13 + 18*T1^14*T2^13 + 
      497*T1^15*T2^13 - 219*T1^16*T2^13 + 128*T1^6*T2^14 - 431*T1^7*T2^14 + 
      490*T1^8*T2^14 + 18*T1^9*T2^14 - 1098*T1^10*T2^14 + 1504*T1^11*T2^14 - 
      1098*T1^12*T2^14 + 18*T1^13*T2^14 + 490*T1^14*T2^14 - 431*T1^15*T2^14 + 
      128*T1^16*T2^14 - 49*T1^7*T2^15 + 218*T1^8*T2^15 - 431*T1^9*T2^15 + 
      497*T1^10*T2^15 - 208*T1^11*T2^15 - 208*T1^12*T2^15 + 497*T1^13*T2^15 - 
      431*T1^14*T2^15 + 218*T1^15*T2^15 - 49*T1^16*T2^15 + 9*T1^8*T2^16 - 
      49*T1^9*T2^16 + 128*T1^10*T2^16 - 219*T1^11*T2^16 + 257*T1^12*T2^16 - 
      219*T1^13*T2^16 + 128*T1^14*T2^16 - 49*T1^15*T2^16 + 9*T1^16*T2^16)/
     (T1^8*T2^8))}, 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), -((1 - 8*T1 + 25*T1^2 - 43*T1^3 + 49*T1^4 - 43*T1^5 + 25*T1^6 - 
      8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 136*T1^2*T2 + 144*T1^3*T2 - 
      48*T1^4*T2 - 48*T1^5*T2 + 144*T1^6*T2 - 136*T1^7*T2 + 56*T1^8*T2 - 
      8*T1^9*T2 + 25*T2^2 - 136*T1*T2^2 + 131*T1^2*T2^2 + 357*T1^3*T2^2 - 
      965*T1^4*T2^2 + 1063*T1^5*T2^2 - 965*T1^6*T2^2 + 357*T1^7*T2^2 + 
      131*T1^8*T2^2 - 136*T1^9*T2^2 + 25*T1^10*T2^2 - 43*T2^3 + 144*T1*T2^3 + 
      357*T1^2*T2^3 - 1714*T1^3*T2^3 + 1999*T1^4*T2^3 - 512*T1^5*T2^3 - 
      512*T1^6*T2^3 + 1999*T1^7*T2^3 - 1714*T1^8*T2^3 + 357*T1^9*T2^3 + 
      144*T1^10*T2^3 - 43*T1^11*T2^3 + 49*T2^4 - 48*T1*T2^4 - 965*T1^2*T2^4 + 
      1999*T1^3*T2^4 + 568*T1^4*T2^4 - 4460*T1^5*T2^4 + 4480*T1^6*T2^4 - 
      4460*T1^7*T2^4 + 568*T1^8*T2^4 + 1999*T1^9*T2^4 - 965*T1^10*T2^4 - 
      48*T1^11*T2^4 + 49*T1^12*T2^4 - 43*T2^5 - 48*T1*T2^5 + 1063*T1^2*T2^5 - 
      512*T1^3*T2^5 - 4460*T1^4*T2^5 + 6428*T1^5*T2^5 - 1257*T1^6*T2^5 - 
      1257*T1^7*T2^5 + 6428*T1^8*T2^5 - 4460*T1^9*T2^5 - 512*T1^10*T2^5 + 
      1063*T1^11*T2^5 - 48*T1^12*T2^5 - 43*T1^13*T2^5 + 25*T2^6 + 
      144*T1*T2^6 - 965*T1^2*T2^6 - 512*T1^3*T2^6 + 4480*T1^4*T2^6 - 
      1257*T1^5*T2^6 - 6946*T1^6*T2^6 + 6658*T1^7*T2^6 - 6946*T1^8*T2^6 - 
      1257*T1^9*T2^6 + 4480*T1^10*T2^6 - 512*T1^11*T2^6 - 965*T1^12*T2^6 + 
      144*T1^13*T2^6 + 25*T1^14*T2^6 - 8*T2^7 - 136*T1*T2^7 + 357*T1^2*T2^7 + 
      1999*T1^3*T2^7 - 4460*T1^4*T2^7 - 1257*T1^5*T2^7 + 6658*T1^6*T2^7 - 
      1112*T1^7*T2^7 - 1112*T1^8*T2^7 + 6658*T1^9*T2^7 - 1257*T1^10*T2^7 - 
      4460*T1^11*T2^7 + 1999*T1^12*T2^7 + 357*T1^13*T2^7 - 136*T1^14*T2^7 - 
      8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 131*T1^2*T2^8 - 1714*T1^3*T2^8 + 
      568*T1^4*T2^8 + 6428*T1^5*T2^8 - 6946*T1^6*T2^8 - 1112*T1^7*T2^8 + 
      876*T1^8*T2^8 - 1112*T1^9*T2^8 - 6946*T1^10*T2^8 + 6428*T1^11*T2^8 + 
      568*T1^12*T2^8 - 1714*T1^13*T2^8 + 131*T1^14*T2^8 + 56*T1^15*T2^8 + 
      T1^16*T2^8 - 8*T1*T2^9 - 136*T1^2*T2^9 + 357*T1^3*T2^9 + 
      1999*T1^4*T2^9 - 4460*T1^5*T2^9 - 1257*T1^6*T2^9 + 6658*T1^7*T2^9 - 
      1112*T1^8*T2^9 - 1112*T1^9*T2^9 + 6658*T1^10*T2^9 - 1257*T1^11*T2^9 - 
      4460*T1^12*T2^9 + 1999*T1^13*T2^9 + 357*T1^14*T2^9 - 136*T1^15*T2^9 - 
      8*T1^16*T2^9 + 25*T1^2*T2^10 + 144*T1^3*T2^10 - 965*T1^4*T2^10 - 
      512*T1^5*T2^10 + 4480*T1^6*T2^10 - 1257*T1^7*T2^10 - 6946*T1^8*T2^10 + 
      6658*T1^9*T2^10 - 6946*T1^10*T2^10 - 1257*T1^11*T2^10 + 
      4480*T1^12*T2^10 - 512*T1^13*T2^10 - 965*T1^14*T2^10 + 
      144*T1^15*T2^10 + 25*T1^16*T2^10 - 43*T1^3*T2^11 - 48*T1^4*T2^11 + 
      1063*T1^5*T2^11 - 512*T1^6*T2^11 - 4460*T1^7*T2^11 + 6428*T1^8*T2^11 - 
      1257*T1^9*T2^11 - 1257*T1^10*T2^11 + 6428*T1^11*T2^11 - 
      4460*T1^12*T2^11 - 512*T1^13*T2^11 + 1063*T1^14*T2^11 - 
      48*T1^15*T2^11 - 43*T1^16*T2^11 + 49*T1^4*T2^12 - 48*T1^5*T2^12 - 
      965*T1^6*T2^12 + 1999*T1^7*T2^12 + 568*T1^8*T2^12 - 4460*T1^9*T2^12 + 
      4480*T1^10*T2^12 - 4460*T1^11*T2^12 + 568*T1^12*T2^12 + 
      1999*T1^13*T2^12 - 965*T1^14*T2^12 - 48*T1^15*T2^12 + 49*T1^16*T2^12 - 
      43*T1^5*T2^13 + 144*T1^6*T2^13 + 357*T1^7*T2^13 - 1714*T1^8*T2^13 + 
      1999*T1^9*T2^13 - 512*T1^10*T2^13 - 512*T1^11*T2^13 + 
      1999*T1^12*T2^13 - 1714*T1^13*T2^13 + 357*T1^14*T2^13 + 
      144*T1^15*T2^13 - 43*T1^16*T2^13 + 25*T1^6*T2^14 - 136*T1^7*T2^14 + 
      131*T1^8*T2^14 + 357*T1^9*T2^14 - 965*T1^10*T2^14 + 1063*T1^11*T2^14 - 
      965*T1^12*T2^14 + 357*T1^13*T2^14 + 131*T1^14*T2^14 - 136*T1^15*T2^14 + 
      25*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 136*T1^9*T2^15 + 
      144*T1^10*T2^15 - 48*T1^11*T2^15 - 48*T1^12*T2^15 + 144*T1^13*T2^15 - 
      136*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
      8*T1^9*T2^16 + 25*T1^10*T2^16 - 43*T1^11*T2^16 + 49*T1^12*T2^16 - 
      43*T1^13*T2^16 + 25*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, 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, 
   -((5 - 20*T1 + 41*T1^2 - 53*T1^3 + 41*T1^4 - 20*T1^5 + 5*T1^6 - 20*T2 + 
      60*T1*T2 - 91*T1^2*T2 + 55*T1^3*T2 + 55*T1^4*T2 - 91*T1^5*T2 + 
      60*T1^6*T2 - 20*T1^7*T2 + 41*T2^2 - 91*T1*T2^2 + 95*T1^2*T2^2 + 
      74*T1^3*T2^2 - 265*T1^4*T2^2 + 74*T1^5*T2^2 + 95*T1^6*T2^2 - 
      91*T1^7*T2^2 + 41*T1^8*T2^2 - 53*T2^3 + 55*T1*T2^3 + 74*T1^2*T2^3 - 
      430*T1^3*T2^3 + 375*T1^4*T2^3 + 375*T1^5*T2^3 - 430*T1^6*T2^3 + 
      74*T1^7*T2^3 + 55*T1^8*T2^3 - 53*T1^9*T2^3 + 41*T2^4 + 55*T1*T2^4 - 
      265*T1^2*T2^4 + 375*T1^3*T2^4 + 473*T1^4*T2^4 - 1373*T1^5*T2^4 + 
      473*T1^6*T2^4 + 375*T1^7*T2^4 - 265*T1^8*T2^4 + 55*T1^9*T2^4 + 
      41*T1^10*T2^4 - 20*T2^5 - 91*T1*T2^5 + 74*T1^2*T2^5 + 375*T1^3*T2^5 - 
      1373*T1^4*T2^5 + 1010*T1^5*T2^5 + 1010*T1^6*T2^5 - 1373*T1^7*T2^5 + 
      375*T1^8*T2^5 + 74*T1^9*T2^5 - 91*T1^10*T2^5 - 20*T1^11*T2^5 + 5*T2^6 + 
      60*T1*T2^6 + 95*T1^2*T2^6 - 430*T1^3*T2^6 + 473*T1^4*T2^6 + 
      1010*T1^5*T2^6 - 2340*T1^6*T2^6 + 1010*T1^7*T2^6 + 473*T1^8*T2^6 - 
      430*T1^9*T2^6 + 95*T1^10*T2^6 + 60*T1^11*T2^6 + 5*T1^12*T2^6 - 
      20*T1*T2^7 - 91*T1^2*T2^7 + 74*T1^3*T2^7 + 375*T1^4*T2^7 - 
      1373*T1^5*T2^7 + 1010*T1^6*T2^7 + 1010*T1^7*T2^7 - 1373*T1^8*T2^7 + 
      375*T1^9*T2^7 + 74*T1^10*T2^7 - 91*T1^11*T2^7 - 20*T1^12*T2^7 + 
      41*T1^2*T2^8 + 55*T1^3*T2^8 - 265*T1^4*T2^8 + 375*T1^5*T2^8 + 
      473*T1^6*T2^8 - 1373*T1^7*T2^8 + 473*T1^8*T2^8 + 375*T1^9*T2^8 - 
      265*T1^10*T2^8 + 55*T1^11*T2^8 + 41*T1^12*T2^8 - 53*T1^3*T2^9 + 
      55*T1^4*T2^9 + 74*T1^5*T2^9 - 430*T1^6*T2^9 + 375*T1^7*T2^9 + 
      375*T1^8*T2^9 - 430*T1^9*T2^9 + 74*T1^10*T2^9 + 55*T1^11*T2^9 - 
      53*T1^12*T2^9 + 41*T1^4*T2^10 - 91*T1^5*T2^10 + 95*T1^6*T2^10 + 
      74*T1^7*T2^10 - 265*T1^8*T2^10 + 74*T1^9*T2^10 + 95*T1^10*T2^10 - 
      91*T1^11*T2^10 + 41*T1^12*T2^10 - 20*T1^5*T2^11 + 60*T1^6*T2^11 - 
      91*T1^7*T2^11 + 55*T1^8*T2^11 + 55*T1^9*T2^11 - 91*T1^10*T2^11 + 
      60*T1^11*T2^11 - 20*T1^12*T2^11 + 5*T1^6*T2^12 - 20*T1^7*T2^12 + 
      41*T1^8*T2^12 - 53*T1^9*T2^12 + 41*T1^10*T2^12 - 20*T1^11*T2^12 + 
      5*T1^12*T2^12)/(T1^6*T2^6))}, 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, (17 - 84*T1 + 216*T1^2 - 345*T1^3 + 401*T1^4 - 345*T1^5 + 216*T1^6 - 
     84*T1^7 + 17*T1^8 - 84*T2 + 332*T1*T2 - 656*T1^2*T2 + 644*T1^3*T2 - 
     280*T1^4*T2 - 280*T1^5*T2 + 644*T1^6*T2 - 656*T1^7*T2 + 332*T1^8*T2 - 
     84*T1^9*T2 + 216*T2^2 - 656*T1*T2^2 + 905*T1^2*T2^2 - 119*T1^3*T2^2 - 
     751*T1^4*T2^2 + 1243*T1^5*T2^2 - 751*T1^6*T2^2 - 119*T1^7*T2^2 + 
     905*T1^8*T2^2 - 656*T1^9*T2^2 + 216*T1^10*T2^2 - 345*T2^3 + 
     644*T1*T2^3 - 119*T1^2*T2^3 - 1860*T1^3*T2^3 + 2068*T1^4*T2^3 - 
     1085*T1^5*T2^3 - 1085*T1^6*T2^3 + 2068*T1^7*T2^3 - 1860*T1^8*T2^3 - 
     119*T1^9*T2^3 + 644*T1^10*T2^3 - 345*T1^11*T2^3 + 401*T2^4 - 
     280*T1*T2^4 - 751*T1^2*T2^4 + 2068*T1^3*T2^4 + 1309*T1^4*T2^4 - 
     4301*T1^5*T2^4 + 6401*T1^6*T2^4 - 4301*T1^7*T2^4 + 1309*T1^8*T2^4 + 
     2068*T1^9*T2^4 - 751*T1^10*T2^4 - 280*T1^11*T2^4 + 401*T1^12*T2^4 - 
     345*T2^5 - 280*T1*T2^5 + 1243*T1^2*T2^5 - 1085*T1^3*T2^5 - 
     4301*T1^4*T2^5 + 4422*T1^5*T2^5 - 2699*T1^6*T2^5 - 2699*T1^7*T2^5 + 
     4422*T1^8*T2^5 - 4301*T1^9*T2^5 - 1085*T1^10*T2^5 + 1243*T1^11*T2^5 - 
     280*T1^12*T2^5 - 345*T1^13*T2^5 + 216*T2^6 + 644*T1*T2^6 - 
     751*T1^2*T2^6 - 1085*T1^3*T2^6 + 6401*T1^4*T2^6 - 2699*T1^5*T2^6 + 
     569*T1^6*T2^6 + 2607*T1^7*T2^6 + 569*T1^8*T2^6 - 2699*T1^9*T2^6 + 
     6401*T1^10*T2^6 - 1085*T1^11*T2^6 - 751*T1^12*T2^6 + 644*T1^13*T2^6 + 
     216*T1^14*T2^6 - 84*T2^7 - 656*T1*T2^7 - 119*T1^2*T2^7 + 
     2068*T1^3*T2^7 - 4301*T1^4*T2^7 - 2699*T1^5*T2^7 + 2607*T1^6*T2^7 - 
     2644*T1^7*T2^7 - 2644*T1^8*T2^7 + 2607*T1^9*T2^7 - 2699*T1^10*T2^7 - 
     4301*T1^11*T2^7 + 2068*T1^12*T2^7 - 119*T1^13*T2^7 - 656*T1^14*T2^7 - 
     84*T1^15*T2^7 + 17*T2^8 + 332*T1*T2^8 + 905*T1^2*T2^8 - 1860*T1^3*T2^8 + 
     1309*T1^4*T2^8 + 4422*T1^5*T2^8 + 569*T1^6*T2^8 - 2644*T1^7*T2^8 + 
     6492*T1^8*T2^8 - 2644*T1^9*T2^8 + 569*T1^10*T2^8 + 4422*T1^11*T2^8 + 
     1309*T1^12*T2^8 - 1860*T1^13*T2^8 + 905*T1^14*T2^8 + 332*T1^15*T2^8 + 
     17*T1^16*T2^8 - 84*T1*T2^9 - 656*T1^2*T2^9 - 119*T1^3*T2^9 + 
     2068*T1^4*T2^9 - 4301*T1^5*T2^9 - 2699*T1^6*T2^9 + 2607*T1^7*T2^9 - 
     2644*T1^8*T2^9 - 2644*T1^9*T2^9 + 2607*T1^10*T2^9 - 2699*T1^11*T2^9 - 
     4301*T1^12*T2^9 + 2068*T1^13*T2^9 - 119*T1^14*T2^9 - 656*T1^15*T2^9 - 
     84*T1^16*T2^9 + 216*T1^2*T2^10 + 644*T1^3*T2^10 - 751*T1^4*T2^10 - 
     1085*T1^5*T2^10 + 6401*T1^6*T2^10 - 2699*T1^7*T2^10 + 569*T1^8*T2^10 + 
     2607*T1^9*T2^10 + 569*T1^10*T2^10 - 2699*T1^11*T2^10 + 
     6401*T1^12*T2^10 - 1085*T1^13*T2^10 - 751*T1^14*T2^10 + 
     644*T1^15*T2^10 + 216*T1^16*T2^10 - 345*T1^3*T2^11 - 280*T1^4*T2^11 + 
     1243*T1^5*T2^11 - 1085*T1^6*T2^11 - 4301*T1^7*T2^11 + 4422*T1^8*T2^11 - 
     2699*T1^9*T2^11 - 2699*T1^10*T2^11 + 4422*T1^11*T2^11 - 
     4301*T1^12*T2^11 - 1085*T1^13*T2^11 + 1243*T1^14*T2^11 - 
     280*T1^15*T2^11 - 345*T1^16*T2^11 + 401*T1^4*T2^12 - 280*T1^5*T2^12 - 
     751*T1^6*T2^12 + 2068*T1^7*T2^12 + 1309*T1^8*T2^12 - 4301*T1^9*T2^12 + 
     6401*T1^10*T2^12 - 4301*T1^11*T2^12 + 1309*T1^12*T2^12 + 
     2068*T1^13*T2^12 - 751*T1^14*T2^12 - 280*T1^15*T2^12 + 401*T1^16*T2^12 - 
     345*T1^5*T2^13 + 644*T1^6*T2^13 - 119*T1^7*T2^13 - 1860*T1^8*T2^13 + 
     2068*T1^9*T2^13 - 1085*T1^10*T2^13 - 1085*T1^11*T2^13 + 
     2068*T1^12*T2^13 - 1860*T1^13*T2^13 - 119*T1^14*T2^13 + 
     644*T1^15*T2^13 - 345*T1^16*T2^13 + 216*T1^6*T2^14 - 656*T1^7*T2^14 + 
     905*T1^8*T2^14 - 119*T1^9*T2^14 - 751*T1^10*T2^14 + 1243*T1^11*T2^14 - 
     751*T1^12*T2^14 - 119*T1^13*T2^14 + 905*T1^14*T2^14 - 656*T1^15*T2^14 + 
     216*T1^16*T2^14 - 84*T1^7*T2^15 + 332*T1^8*T2^15 - 656*T1^9*T2^15 + 
     644*T1^10*T2^15 - 280*T1^11*T2^15 - 280*T1^12*T2^15 + 644*T1^13*T2^15 - 
     656*T1^14*T2^15 + 332*T1^15*T2^15 - 84*T1^16*T2^15 + 17*T1^8*T2^16 - 
     84*T1^9*T2^16 + 216*T1^10*T2^16 - 345*T1^11*T2^16 + 401*T1^12*T2^16 - 
     345*T1^13*T2^16 + 216*T1^14*T2^16 - 84*T1^15*T2^16 + 17*T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 676] -> 
  {(3 - 14*T + 32*T^2 - 41*T^3 + 32*T^4 - 14*T^5 + 3*T^6)/T^3, 
   (36 - 166*T1 + 376*T1^2 - 478*T1^3 + 376*T1^4 - 166*T1^5 + 36*T1^6 - 
     166*T2 + 600*T1*T2 - 970*T1^2*T2 + 472*T1^3*T2 + 472*T1^4*T2 - 
     970*T1^5*T2 + 600*T1^6*T2 - 166*T1^7*T2 + 376*T2^2 - 970*T1*T2^2 + 
     757*T1^2*T2^2 + 1339*T1^3*T2^2 - 2429*T1^4*T2^2 + 1339*T1^5*T2^2 + 
     757*T1^6*T2^2 - 970*T1^7*T2^2 + 376*T1^8*T2^2 - 478*T2^3 + 472*T1*T2^3 + 
     1339*T1^2*T2^3 - 4414*T1^3*T2^3 + 2262*T1^4*T2^3 + 2262*T1^5*T2^3 - 
     4414*T1^6*T2^3 + 1339*T1^7*T2^3 + 472*T1^8*T2^3 - 478*T1^9*T2^3 + 
     376*T2^4 + 472*T1*T2^4 - 2429*T1^2*T2^4 + 2262*T1^3*T2^4 + 
     5952*T1^4*T2^4 - 9978*T1^5*T2^4 + 5952*T1^6*T2^4 + 2262*T1^7*T2^4 - 
     2429*T1^8*T2^4 + 472*T1^9*T2^4 + 376*T1^10*T2^4 - 166*T2^5 - 
     970*T1*T2^5 + 1339*T1^2*T2^5 + 2262*T1^3*T2^5 - 9978*T1^4*T2^5 + 
     5060*T1^5*T2^5 + 5060*T1^6*T2^5 - 9978*T1^7*T2^5 + 2262*T1^8*T2^5 + 
     1339*T1^9*T2^5 - 970*T1^10*T2^5 - 166*T1^11*T2^5 + 36*T2^6 + 
     600*T1*T2^6 + 757*T1^2*T2^6 - 4414*T1^3*T2^6 + 5952*T1^4*T2^6 + 
     5060*T1^5*T2^6 - 10392*T1^6*T2^6 + 5060*T1^7*T2^6 + 5952*T1^8*T2^6 - 
     4414*T1^9*T2^6 + 757*T1^10*T2^6 + 600*T1^11*T2^6 + 36*T1^12*T2^6 - 
     166*T1*T2^7 - 970*T1^2*T2^7 + 1339*T1^3*T2^7 + 2262*T1^4*T2^7 - 
     9978*T1^5*T2^7 + 5060*T1^6*T2^7 + 5060*T1^7*T2^7 - 9978*T1^8*T2^7 + 
     2262*T1^9*T2^7 + 1339*T1^10*T2^7 - 970*T1^11*T2^7 - 166*T1^12*T2^7 + 
     376*T1^2*T2^8 + 472*T1^3*T2^8 - 2429*T1^4*T2^8 + 2262*T1^5*T2^8 + 
     5952*T1^6*T2^8 - 9978*T1^7*T2^8 + 5952*T1^8*T2^8 + 2262*T1^9*T2^8 - 
     2429*T1^10*T2^8 + 472*T1^11*T2^8 + 376*T1^12*T2^8 - 478*T1^3*T2^9 + 
     472*T1^4*T2^9 + 1339*T1^5*T2^9 - 4414*T1^6*T2^9 + 2262*T1^7*T2^9 + 
     2262*T1^8*T2^9 - 4414*T1^9*T2^9 + 1339*T1^10*T2^9 + 472*T1^11*T2^9 - 
     478*T1^12*T2^9 + 376*T1^4*T2^10 - 970*T1^5*T2^10 + 757*T1^6*T2^10 + 
     1339*T1^7*T2^10 - 2429*T1^8*T2^10 + 1339*T1^9*T2^10 + 757*T1^10*T2^10 - 
     970*T1^11*T2^10 + 376*T1^12*T2^10 - 166*T1^5*T2^11 + 600*T1^6*T2^11 - 
     970*T1^7*T2^11 + 472*T1^8*T2^11 + 472*T1^9*T2^11 - 970*T1^10*T2^11 + 
     600*T1^11*T2^11 - 166*T1^12*T2^11 + 36*T1^6*T2^12 - 166*T1^7*T2^12 + 
     376*T1^8*T2^12 - 478*T1^9*T2^12 + 376*T1^10*T2^12 - 166*T1^11*T2^12 + 
     36*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 677] -> 
  {((2 - 2*T + T^2)*(2 - 3*T + 2*T^2)*(1 - 2*T + 2*T^2))/T^3, 
   (80 - 356*T1 + 788*T1^2 - 1000*T1^3 + 788*T1^4 - 356*T1^5 + 80*T1^6 - 
     356*T2 + 1230*T1*T2 - 1926*T1^2*T2 + 946*T1^3*T2 + 946*T1^4*T2 - 
     1926*T1^5*T2 + 1230*T1^6*T2 - 356*T1^7*T2 + 788*T2^2 - 1926*T1*T2^2 + 
     1479*T1^2*T2^2 + 2340*T1^3*T2^2 - 4433*T1^4*T2^2 + 2340*T1^5*T2^2 + 
     1479*T1^6*T2^2 - 1926*T1^7*T2^2 + 788*T1^8*T2^2 - 1000*T2^3 + 
     946*T1*T2^3 + 2340*T1^2*T2^3 - 7654*T1^3*T2^3 + 4066*T1^4*T2^3 + 
     4066*T1^5*T2^3 - 7654*T1^6*T2^3 + 2340*T1^7*T2^3 + 946*T1^8*T2^3 - 
     1000*T1^9*T2^3 + 788*T2^4 + 946*T1*T2^4 - 4433*T1^2*T2^4 + 
     4066*T1^3*T2^4 + 9662*T1^4*T2^4 - 16882*T1^5*T2^4 + 9662*T1^6*T2^4 + 
     4066*T1^7*T2^4 - 4433*T1^8*T2^4 + 946*T1^9*T2^4 + 788*T1^10*T2^4 - 
     356*T2^5 - 1926*T1*T2^5 + 2340*T1^2*T2^5 + 4066*T1^3*T2^5 - 
     16882*T1^4*T2^5 + 8916*T1^5*T2^5 + 8916*T1^6*T2^5 - 16882*T1^7*T2^5 + 
     4066*T1^8*T2^5 + 2340*T1^9*T2^5 - 1926*T1^10*T2^5 - 356*T1^11*T2^5 + 
     80*T2^6 + 1230*T1*T2^6 + 1479*T1^2*T2^6 - 7654*T1^3*T2^6 + 
     9662*T1^4*T2^6 + 8916*T1^5*T2^6 - 18684*T1^6*T2^6 + 8916*T1^7*T2^6 + 
     9662*T1^8*T2^6 - 7654*T1^9*T2^6 + 1479*T1^10*T2^6 + 1230*T1^11*T2^6 + 
     80*T1^12*T2^6 - 356*T1*T2^7 - 1926*T1^2*T2^7 + 2340*T1^3*T2^7 + 
     4066*T1^4*T2^7 - 16882*T1^5*T2^7 + 8916*T1^6*T2^7 + 8916*T1^7*T2^7 - 
     16882*T1^8*T2^7 + 4066*T1^9*T2^7 + 2340*T1^10*T2^7 - 1926*T1^11*T2^7 - 
     356*T1^12*T2^7 + 788*T1^2*T2^8 + 946*T1^3*T2^8 - 4433*T1^4*T2^8 + 
     4066*T1^5*T2^8 + 9662*T1^6*T2^8 - 16882*T1^7*T2^8 + 9662*T1^8*T2^8 + 
     4066*T1^9*T2^8 - 4433*T1^10*T2^8 + 946*T1^11*T2^8 + 788*T1^12*T2^8 - 
     1000*T1^3*T2^9 + 946*T1^4*T2^9 + 2340*T1^5*T2^9 - 7654*T1^6*T2^9 + 
     4066*T1^7*T2^9 + 4066*T1^8*T2^9 - 7654*T1^9*T2^9 + 2340*T1^10*T2^9 + 
     946*T1^11*T2^9 - 1000*T1^12*T2^9 + 788*T1^4*T2^10 - 1926*T1^5*T2^10 + 
     1479*T1^6*T2^10 + 2340*T1^7*T2^10 - 4433*T1^8*T2^10 + 2340*T1^9*T2^10 + 
     1479*T1^10*T2^10 - 1926*T1^11*T2^10 + 788*T1^12*T2^10 - 356*T1^5*T2^11 + 
     1230*T1^6*T2^11 - 1926*T1^7*T2^11 + 946*T1^8*T2^11 + 946*T1^9*T2^11 - 
     1926*T1^10*T2^11 + 1230*T1^11*T2^11 - 356*T1^12*T2^11 + 80*T1^6*T2^12 - 
     356*T1^7*T2^12 + 788*T1^8*T2^12 - 1000*T1^9*T2^12 + 788*T1^10*T2^12 - 
     356*T1^11*T2^12 + 80*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 678] -> 
  {(4 - 19*T + 41*T^2 - 51*T^3 + 41*T^4 - 19*T^5 + 4*T^6)/T^3, 
   (64 - 300*T1 + 632*T1^2 - 776*T1^3 + 632*T1^4 - 300*T1^5 + 64*T1^6 - 
     300*T2 + 1110*T1*T2 - 1569*T1^2*T2 + 685*T1^3*T2 + 685*T1^4*T2 - 
     1569*T1^5*T2 + 1110*T1^6*T2 - 300*T1^7*T2 + 632*T2^2 - 1569*T1*T2^2 + 
     232*T1^2*T2^2 + 3552*T1^3*T2^2 - 5072*T1^4*T2^2 + 3552*T1^5*T2^2 + 
     232*T1^6*T2^2 - 1569*T1^7*T2^2 + 632*T1^8*T2^2 - 776*T2^3 + 
     685*T1*T2^3 + 3552*T1^2*T2^3 - 7562*T1^3*T2^3 + 3300*T1^4*T2^3 + 
     3300*T1^5*T2^3 - 7562*T1^6*T2^3 + 3552*T1^7*T2^3 + 685*T1^8*T2^3 - 
     776*T1^9*T2^3 + 632*T2^4 + 685*T1*T2^4 - 5072*T1^2*T2^4 + 
     3300*T1^3*T2^4 + 8168*T1^4*T2^4 - 12534*T1^5*T2^4 + 8168*T1^6*T2^4 + 
     3300*T1^7*T2^4 - 5072*T1^8*T2^4 + 685*T1^9*T2^4 + 632*T1^10*T2^4 - 
     300*T2^5 - 1569*T1*T2^5 + 3552*T1^2*T2^5 + 3300*T1^3*T2^5 - 
     12534*T1^4*T2^5 + 5562*T1^5*T2^5 + 5562*T1^6*T2^5 - 12534*T1^7*T2^5 + 
     3300*T1^8*T2^5 + 3552*T1^9*T2^5 - 1569*T1^10*T2^5 - 300*T1^11*T2^5 + 
     64*T2^6 + 1110*T1*T2^6 + 232*T1^2*T2^6 - 7562*T1^3*T2^6 + 
     8168*T1^4*T2^6 + 5562*T1^5*T2^6 - 10752*T1^6*T2^6 + 5562*T1^7*T2^6 + 
     8168*T1^8*T2^6 - 7562*T1^9*T2^6 + 232*T1^10*T2^6 + 1110*T1^11*T2^6 + 
     64*T1^12*T2^6 - 300*T1*T2^7 - 1569*T1^2*T2^7 + 3552*T1^3*T2^7 + 
     3300*T1^4*T2^7 - 12534*T1^5*T2^7 + 5562*T1^6*T2^7 + 5562*T1^7*T2^7 - 
     12534*T1^8*T2^7 + 3300*T1^9*T2^7 + 3552*T1^10*T2^7 - 1569*T1^11*T2^7 - 
     300*T1^12*T2^7 + 632*T1^2*T2^8 + 685*T1^3*T2^8 - 5072*T1^4*T2^8 + 
     3300*T1^5*T2^8 + 8168*T1^6*T2^8 - 12534*T1^7*T2^8 + 8168*T1^8*T2^8 + 
     3300*T1^9*T2^8 - 5072*T1^10*T2^8 + 685*T1^11*T2^8 + 632*T1^12*T2^8 - 
     776*T1^3*T2^9 + 685*T1^4*T2^9 + 3552*T1^5*T2^9 - 7562*T1^6*T2^9 + 
     3300*T1^7*T2^9 + 3300*T1^8*T2^9 - 7562*T1^9*T2^9 + 3552*T1^10*T2^9 + 
     685*T1^11*T2^9 - 776*T1^12*T2^9 + 632*T1^4*T2^10 - 1569*T1^5*T2^10 + 
     232*T1^6*T2^10 + 3552*T1^7*T2^10 - 5072*T1^8*T2^10 + 3552*T1^9*T2^10 + 
     232*T1^10*T2^10 - 1569*T1^11*T2^10 + 632*T1^12*T2^10 - 300*T1^5*T2^11 + 
     1110*T1^6*T2^11 - 1569*T1^7*T2^11 + 685*T1^8*T2^11 + 685*T1^9*T2^11 - 
     1569*T1^10*T2^11 + 1110*T1^11*T2^11 - 300*T1^12*T2^11 + 64*T1^6*T2^12 - 
     300*T1^7*T2^12 + 632*T1^8*T2^12 - 776*T1^9*T2^12 + 632*T1^10*T2^12 - 
     300*T1^11*T2^12 + 64*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 679] -> {((1 - T + T^2)*(7 - 13*T + 7*T^2))/T^2, 
   (875 - 2444*T1 + 3283*T1^2 - 2444*T1^3 + 875*T1^4 - 2444*T2 + 4428*T1*T2 - 
     2381*T1^2*T2 - 2381*T1^3*T2 + 4428*T1^4*T2 - 2444*T1^5*T2 + 3283*T2^2 - 
     2381*T1*T2^2 - 3837*T1^2*T2^2 + 7983*T1^3*T2^2 - 3837*T1^4*T2^2 - 
     2381*T1^5*T2^2 + 3283*T1^6*T2^2 - 2444*T2^3 - 2381*T1*T2^3 + 
     7983*T1^2*T2^3 - 4948*T1^3*T2^3 - 4948*T1^4*T2^3 + 7983*T1^5*T2^3 - 
     2381*T1^6*T2^3 - 2444*T1^7*T2^3 + 875*T2^4 + 4428*T1*T2^4 - 
     3837*T1^2*T2^4 - 4948*T1^3*T2^4 + 11196*T1^4*T2^4 - 4948*T1^5*T2^4 - 
     3837*T1^6*T2^4 + 4428*T1^7*T2^4 + 875*T1^8*T2^4 - 2444*T1*T2^5 - 
     2381*T1^2*T2^5 + 7983*T1^3*T2^5 - 4948*T1^4*T2^5 - 4948*T1^5*T2^5 + 
     7983*T1^6*T2^5 - 2381*T1^7*T2^5 - 2444*T1^8*T2^5 + 3283*T1^2*T2^6 - 
     2381*T1^3*T2^6 - 3837*T1^4*T2^6 + 7983*T1^5*T2^6 - 3837*T1^6*T2^6 - 
     2381*T1^7*T2^6 + 3283*T1^8*T2^6 - 2444*T1^3*T2^7 + 4428*T1^4*T2^7 - 
     2381*T1^5*T2^7 - 2381*T1^6*T2^7 + 4428*T1^7*T2^7 - 2444*T1^8*T2^7 + 
     875*T1^4*T2^8 - 2444*T1^5*T2^8 + 3283*T1^6*T2^8 - 2444*T1^7*T2^8 + 
     875*T1^8*T2^8)/(T1^4*T2^4)}, 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), -((9 - 44*T1 + 104*T1^2 - 173*T1^3 + 203*T1^4 - 173*T1^5 + 
      104*T1^6 - 44*T1^7 + 9*T1^8 - 44*T2 + 172*T1*T2 - 296*T1^2*T2 + 
      340*T1^3*T2 - 148*T1^4*T2 - 148*T1^5*T2 + 340*T1^6*T2 - 296*T1^7*T2 + 
      172*T1^8*T2 - 44*T1^9*T2 + 104*T2^2 - 296*T1*T2^2 + 253*T1^2*T2^2 + 
      T1^3*T2^2 - 639*T1^4*T2^2 + 925*T1^5*T2^2 - 639*T1^6*T2^2 + T1^7*T2^2 + 
      253*T1^8*T2^2 - 296*T1^9*T2^2 + 104*T1^10*T2^2 - 173*T2^3 + 
      340*T1*T2^3 + T1^2*T2^3 - 310*T1^3*T2^3 + 954*T1^4*T2^3 - 
      445*T1^5*T2^3 - 445*T1^6*T2^3 + 954*T1^7*T2^3 - 310*T1^8*T2^3 + 
      T1^9*T2^3 + 340*T1^10*T2^3 - 173*T1^11*T2^3 + 203*T2^4 - 148*T1*T2^4 - 
      639*T1^2*T2^4 + 954*T1^3*T2^4 - 1878*T1^4*T2^4 + 890*T1^5*T2^4 - 
      526*T1^6*T2^4 + 890*T1^7*T2^4 - 1878*T1^8*T2^4 + 954*T1^9*T2^4 - 
      639*T1^10*T2^4 - 148*T1^11*T2^4 + 203*T1^12*T2^4 - 173*T2^5 - 
      148*T1*T2^5 + 925*T1^2*T2^5 - 445*T1^3*T2^5 + 890*T1^4*T2^5 + 
      1148*T1^5*T2^5 - 530*T1^6*T2^5 - 530*T1^7*T2^5 + 1148*T1^8*T2^5 + 
      890*T1^9*T2^5 - 445*T1^10*T2^5 + 925*T1^11*T2^5 - 148*T1^12*T2^5 - 
      173*T1^13*T2^5 + 104*T2^6 + 340*T1*T2^6 - 639*T1^2*T2^6 - 
      445*T1^3*T2^6 - 526*T1^4*T2^6 - 530*T1^5*T2^6 - 2920*T1^6*T2^6 + 
      4084*T1^7*T2^6 - 2920*T1^8*T2^6 - 530*T1^9*T2^6 - 526*T1^10*T2^6 - 
      445*T1^11*T2^6 - 639*T1^12*T2^6 + 340*T1^13*T2^6 + 104*T1^14*T2^6 - 
      44*T2^7 - 296*T1*T2^7 + T1^2*T2^7 + 954*T1^3*T2^7 + 890*T1^4*T2^7 - 
      530*T1^5*T2^7 + 4084*T1^6*T2^7 - 1744*T1^7*T2^7 - 1744*T1^8*T2^7 + 
      4084*T1^9*T2^7 - 530*T1^10*T2^7 + 890*T1^11*T2^7 + 954*T1^12*T2^7 + 
      T1^13*T2^7 - 296*T1^14*T2^7 - 44*T1^15*T2^7 + 9*T2^8 + 172*T1*T2^8 + 
      253*T1^2*T2^8 - 310*T1^3*T2^8 - 1878*T1^4*T2^8 + 1148*T1^5*T2^8 - 
      2920*T1^6*T2^8 - 1744*T1^7*T2^8 + 3336*T1^8*T2^8 - 1744*T1^9*T2^8 - 
      2920*T1^10*T2^8 + 1148*T1^11*T2^8 - 1878*T1^12*T2^8 - 310*T1^13*T2^8 + 
      253*T1^14*T2^8 + 172*T1^15*T2^8 + 9*T1^16*T2^8 - 44*T1*T2^9 - 
      296*T1^2*T2^9 + T1^3*T2^9 + 954*T1^4*T2^9 + 890*T1^5*T2^9 - 
      530*T1^6*T2^9 + 4084*T1^7*T2^9 - 1744*T1^8*T2^9 - 1744*T1^9*T2^9 + 
      4084*T1^10*T2^9 - 530*T1^11*T2^9 + 890*T1^12*T2^9 + 954*T1^13*T2^9 + 
      T1^14*T2^9 - 296*T1^15*T2^9 - 44*T1^16*T2^9 + 104*T1^2*T2^10 + 
      340*T1^3*T2^10 - 639*T1^4*T2^10 - 445*T1^5*T2^10 - 526*T1^6*T2^10 - 
      530*T1^7*T2^10 - 2920*T1^8*T2^10 + 4084*T1^9*T2^10 - 2920*T1^10*T2^10 - 
      530*T1^11*T2^10 - 526*T1^12*T2^10 - 445*T1^13*T2^10 - 639*T1^14*T2^10 + 
      340*T1^15*T2^10 + 104*T1^16*T2^10 - 173*T1^3*T2^11 - 148*T1^4*T2^11 + 
      925*T1^5*T2^11 - 445*T1^6*T2^11 + 890*T1^7*T2^11 + 1148*T1^8*T2^11 - 
      530*T1^9*T2^11 - 530*T1^10*T2^11 + 1148*T1^11*T2^11 + 890*T1^12*T2^11 - 
      445*T1^13*T2^11 + 925*T1^14*T2^11 - 148*T1^15*T2^11 - 173*T1^16*T2^11 + 
      203*T1^4*T2^12 - 148*T1^5*T2^12 - 639*T1^6*T2^12 + 954*T1^7*T2^12 - 
      1878*T1^8*T2^12 + 890*T1^9*T2^12 - 526*T1^10*T2^12 + 890*T1^11*T2^12 - 
      1878*T1^12*T2^12 + 954*T1^13*T2^12 - 639*T1^14*T2^12 - 
      148*T1^15*T2^12 + 203*T1^16*T2^12 - 173*T1^5*T2^13 + 340*T1^6*T2^13 + 
      T1^7*T2^13 - 310*T1^8*T2^13 + 954*T1^9*T2^13 - 445*T1^10*T2^13 - 
      445*T1^11*T2^13 + 954*T1^12*T2^13 - 310*T1^13*T2^13 + T1^14*T2^13 + 
      340*T1^15*T2^13 - 173*T1^16*T2^13 + 104*T1^6*T2^14 - 296*T1^7*T2^14 + 
      253*T1^8*T2^14 + T1^9*T2^14 - 639*T1^10*T2^14 + 925*T1^11*T2^14 - 
      639*T1^12*T2^14 + T1^13*T2^14 + 253*T1^14*T2^14 - 296*T1^15*T2^14 + 
      104*T1^16*T2^14 - 44*T1^7*T2^15 + 172*T1^8*T2^15 - 296*T1^9*T2^15 + 
      340*T1^10*T2^15 - 148*T1^11*T2^15 - 148*T1^12*T2^15 + 340*T1^13*T2^15 - 
      296*T1^14*T2^15 + 172*T1^15*T2^15 - 44*T1^16*T2^15 + 9*T1^8*T2^16 - 
      44*T1^9*T2^16 + 104*T1^10*T2^16 - 173*T1^11*T2^16 + 203*T1^12*T2^16 - 
      173*T1^13*T2^16 + 104*T1^14*T2^16 - 44*T1^15*T2^16 + 9*T1^16*T2^16)/
     (T1^8*T2^8))}, 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, 
   (2 - 14*T1 + 36*T1^2 - 58*T1^3 + 70*T1^4 - 58*T1^5 + 36*T1^6 - 14*T1^7 + 
     2*T1^8 - 14*T2 + 84*T1*T2 - 154*T1^2*T2 + 154*T1^3*T2 - 84*T1^4*T2 - 
     84*T1^5*T2 + 154*T1^6*T2 - 154*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
     36*T2^2 - 154*T1*T2^2 + 3*T1^2*T2^2 + 455*T1^3*T2^2 - 916*T1^4*T2^2 + 
     1317*T1^5*T2^2 - 916*T1^6*T2^2 + 455*T1^7*T2^2 + 3*T1^8*T2^2 - 
     154*T1^9*T2^2 + 36*T1^10*T2^2 - 58*T2^3 + 154*T1*T2^3 + 455*T1^2*T2^3 - 
     1158*T1^3*T2^3 + 1188*T1^4*T2^3 - 864*T1^5*T2^3 - 864*T1^6*T2^3 + 
     1188*T1^7*T2^3 - 1158*T1^8*T2^3 + 455*T1^9*T2^3 + 154*T1^10*T2^3 - 
     58*T1^11*T2^3 + 70*T2^4 - 84*T1*T2^4 - 916*T1^2*T2^4 + 1188*T1^3*T2^4 - 
     273*T1^4*T2^4 - 436*T1^5*T2^4 + 2243*T1^6*T2^4 - 436*T1^7*T2^4 - 
     273*T1^8*T2^4 + 1188*T1^9*T2^4 - 916*T1^10*T2^4 - 84*T1^11*T2^4 + 
     70*T1^12*T2^4 - 58*T2^5 - 84*T1*T2^5 + 1317*T1^2*T2^5 - 864*T1^3*T2^5 - 
     436*T1^4*T2^5 + 534*T1^5*T2^5 - 1629*T1^6*T2^5 - 1629*T1^7*T2^5 + 
     534*T1^8*T2^5 - 436*T1^9*T2^5 - 864*T1^10*T2^5 + 1317*T1^11*T2^5 - 
     84*T1^12*T2^5 - 58*T1^13*T2^5 + 36*T2^6 + 154*T1*T2^6 - 916*T1^2*T2^6 - 
     864*T1^3*T2^6 + 2243*T1^4*T2^6 - 1629*T1^5*T2^6 + 2191*T1^6*T2^6 + 
     1183*T1^7*T2^6 + 2191*T1^8*T2^6 - 1629*T1^9*T2^6 + 2243*T1^10*T2^6 - 
     864*T1^11*T2^6 - 916*T1^12*T2^6 + 154*T1^13*T2^6 + 36*T1^14*T2^6 - 
     14*T2^7 - 154*T1*T2^7 + 455*T1^2*T2^7 + 1188*T1^3*T2^7 - 436*T1^4*T2^7 - 
     1629*T1^5*T2^7 + 1183*T1^6*T2^7 - 2846*T1^7*T2^7 - 2846*T1^8*T2^7 + 
     1183*T1^9*T2^7 - 1629*T1^10*T2^7 - 436*T1^11*T2^7 + 1188*T1^12*T2^7 + 
     455*T1^13*T2^7 - 154*T1^14*T2^7 - 14*T1^15*T2^7 + 2*T2^8 + 84*T1*T2^8 + 
     3*T1^2*T2^8 - 1158*T1^3*T2^8 - 273*T1^4*T2^8 + 534*T1^5*T2^8 + 
     2191*T1^6*T2^8 - 2846*T1^7*T2^8 + 7764*T1^8*T2^8 - 2846*T1^9*T2^8 + 
     2191*T1^10*T2^8 + 534*T1^11*T2^8 - 273*T1^12*T2^8 - 1158*T1^13*T2^8 + 
     3*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 14*T1*T2^9 - 
     154*T1^2*T2^9 + 455*T1^3*T2^9 + 1188*T1^4*T2^9 - 436*T1^5*T2^9 - 
     1629*T1^6*T2^9 + 1183*T1^7*T2^9 - 2846*T1^8*T2^9 - 2846*T1^9*T2^9 + 
     1183*T1^10*T2^9 - 1629*T1^11*T2^9 - 436*T1^12*T2^9 + 1188*T1^13*T2^9 + 
     455*T1^14*T2^9 - 154*T1^15*T2^9 - 14*T1^16*T2^9 + 36*T1^2*T2^10 + 
     154*T1^3*T2^10 - 916*T1^4*T2^10 - 864*T1^5*T2^10 + 2243*T1^6*T2^10 - 
     1629*T1^7*T2^10 + 2191*T1^8*T2^10 + 1183*T1^9*T2^10 + 2191*T1^10*T2^10 - 
     1629*T1^11*T2^10 + 2243*T1^12*T2^10 - 864*T1^13*T2^10 - 
     916*T1^14*T2^10 + 154*T1^15*T2^10 + 36*T1^16*T2^10 - 58*T1^3*T2^11 - 
     84*T1^4*T2^11 + 1317*T1^5*T2^11 - 864*T1^6*T2^11 - 436*T1^7*T2^11 + 
     534*T1^8*T2^11 - 1629*T1^9*T2^11 - 1629*T1^10*T2^11 + 534*T1^11*T2^11 - 
     436*T1^12*T2^11 - 864*T1^13*T2^11 + 1317*T1^14*T2^11 - 84*T1^15*T2^11 - 
     58*T1^16*T2^11 + 70*T1^4*T2^12 - 84*T1^5*T2^12 - 916*T1^6*T2^12 + 
     1188*T1^7*T2^12 - 273*T1^8*T2^12 - 436*T1^9*T2^12 + 2243*T1^10*T2^12 - 
     436*T1^11*T2^12 - 273*T1^12*T2^12 + 1188*T1^13*T2^12 - 916*T1^14*T2^12 - 
     84*T1^15*T2^12 + 70*T1^16*T2^12 - 58*T1^5*T2^13 + 154*T1^6*T2^13 + 
     455*T1^7*T2^13 - 1158*T1^8*T2^13 + 1188*T1^9*T2^13 - 864*T1^10*T2^13 - 
     864*T1^11*T2^13 + 1188*T1^12*T2^13 - 1158*T1^13*T2^13 + 
     455*T1^14*T2^13 + 154*T1^15*T2^13 - 58*T1^16*T2^13 + 36*T1^6*T2^14 - 
     154*T1^7*T2^14 + 3*T1^8*T2^14 + 455*T1^9*T2^14 - 916*T1^10*T2^14 + 
     1317*T1^11*T2^14 - 916*T1^12*T2^14 + 455*T1^13*T2^14 + 3*T1^14*T2^14 - 
     154*T1^15*T2^14 + 36*T1^16*T2^14 - 14*T1^7*T2^15 + 84*T1^8*T2^15 - 
     154*T1^9*T2^15 + 154*T1^10*T2^15 - 84*T1^11*T2^15 - 84*T1^12*T2^15 + 
     154*T1^13*T2^15 - 154*T1^14*T2^15 + 84*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)/(T1^8*T2^8)}, Knot[12, Alternating, 682] -> 
  {(2 - 12*T + 25*T^2 - 29*T^3 + 25*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (9 - 55*T1 + 115*T1^2 - 133*T1^3 + 115*T1^4 - 55*T1^5 + 9*T1^6 - 55*T2 + 
     282*T1*T2 - 368*T1^2*T2 + 110*T1^3*T2 + 110*T1^4*T2 - 368*T1^5*T2 + 
     282*T1^6*T2 - 55*T1^7*T2 + 115*T2^2 - 368*T1*T2^2 - 468*T1^2*T2^2 + 
     1906*T1^3*T2^2 - 2058*T1^4*T2^2 + 1906*T1^5*T2^2 - 468*T1^6*T2^2 - 
     368*T1^7*T2^2 + 115*T1^8*T2^2 - 133*T2^3 + 110*T1*T2^3 + 
     1906*T1^2*T2^3 - 2998*T1^3*T2^3 + 682*T1^4*T2^3 + 682*T1^5*T2^3 - 
     2998*T1^6*T2^3 + 1906*T1^7*T2^3 + 110*T1^8*T2^3 - 133*T1^9*T2^3 + 
     115*T2^4 + 110*T1*T2^4 - 2058*T1^2*T2^4 + 682*T1^3*T2^4 + 
     3977*T1^4*T2^4 - 4095*T1^5*T2^4 + 3977*T1^6*T2^4 + 682*T1^7*T2^4 - 
     2058*T1^8*T2^4 + 110*T1^9*T2^4 + 115*T1^10*T2^4 - 55*T2^5 - 
     368*T1*T2^5 + 1906*T1^2*T2^5 + 682*T1^3*T2^5 - 4095*T1^4*T2^5 + 
     896*T1^5*T2^5 + 896*T1^6*T2^5 - 4095*T1^7*T2^5 + 682*T1^8*T2^5 + 
     1906*T1^9*T2^5 - 368*T1^10*T2^5 - 55*T1^11*T2^5 + 9*T2^6 + 282*T1*T2^6 - 
     468*T1^2*T2^6 - 2998*T1^3*T2^6 + 3977*T1^4*T2^6 + 896*T1^5*T2^6 - 
     1152*T1^6*T2^6 + 896*T1^7*T2^6 + 3977*T1^8*T2^6 - 2998*T1^9*T2^6 - 
     468*T1^10*T2^6 + 282*T1^11*T2^6 + 9*T1^12*T2^6 - 55*T1*T2^7 - 
     368*T1^2*T2^7 + 1906*T1^3*T2^7 + 682*T1^4*T2^7 - 4095*T1^5*T2^7 + 
     896*T1^6*T2^7 + 896*T1^7*T2^7 - 4095*T1^8*T2^7 + 682*T1^9*T2^7 + 
     1906*T1^10*T2^7 - 368*T1^11*T2^7 - 55*T1^12*T2^7 + 115*T1^2*T2^8 + 
     110*T1^3*T2^8 - 2058*T1^4*T2^8 + 682*T1^5*T2^8 + 3977*T1^6*T2^8 - 
     4095*T1^7*T2^8 + 3977*T1^8*T2^8 + 682*T1^9*T2^8 - 2058*T1^10*T2^8 + 
     110*T1^11*T2^8 + 115*T1^12*T2^8 - 133*T1^3*T2^9 + 110*T1^4*T2^9 + 
     1906*T1^5*T2^9 - 2998*T1^6*T2^9 + 682*T1^7*T2^9 + 682*T1^8*T2^9 - 
     2998*T1^9*T2^9 + 1906*T1^10*T2^9 + 110*T1^11*T2^9 - 133*T1^12*T2^9 + 
     115*T1^4*T2^10 - 368*T1^5*T2^10 - 468*T1^6*T2^10 + 1906*T1^7*T2^10 - 
     2058*T1^8*T2^10 + 1906*T1^9*T2^10 - 468*T1^10*T2^10 - 368*T1^11*T2^10 + 
     115*T1^12*T2^10 - 55*T1^5*T2^11 + 282*T1^6*T2^11 - 368*T1^7*T2^11 + 
     110*T1^8*T2^11 + 110*T1^9*T2^11 - 368*T1^10*T2^11 + 282*T1^11*T2^11 - 
     55*T1^12*T2^11 + 9*T1^6*T2^12 - 55*T1^7*T2^12 + 115*T1^8*T2^12 - 
     133*T1^9*T2^12 + 115*T1^10*T2^12 - 55*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   (2 - 14*T1 + 32*T1^2 - 44*T1^3 + 50*T1^4 - 44*T1^5 + 32*T1^6 - 14*T1^7 + 
     2*T1^8 - 14*T2 + 84*T1*T2 - 126*T1^2*T2 + 84*T1^3*T2 - 42*T1^4*T2 - 
     42*T1^5*T2 + 84*T1^6*T2 - 126*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
     32*T2^2 - 126*T1*T2^2 - 143*T1^2*T2^2 + 643*T1^3*T2^2 - 846*T1^4*T2^2 + 
     1039*T1^5*T2^2 - 846*T1^6*T2^2 + 643*T1^7*T2^2 - 143*T1^8*T2^2 - 
     126*T1^9*T2^2 + 32*T1^10*T2^2 - 44*T2^3 + 84*T1*T2^3 + 643*T1^2*T2^3 - 
     1128*T1^3*T2^3 + 601*T1^4*T2^3 - 405*T1^5*T2^3 - 405*T1^6*T2^3 + 
     601*T1^7*T2^3 - 1128*T1^8*T2^3 + 643*T1^9*T2^3 + 84*T1^10*T2^3 - 
     44*T1^11*T2^3 + 50*T2^4 - 42*T1*T2^4 - 846*T1^2*T2^4 + 601*T1^3*T2^4 + 
     725*T1^4*T2^4 - 656*T1^5*T2^4 + 1373*T1^6*T2^4 - 656*T1^7*T2^4 + 
     725*T1^8*T2^4 + 601*T1^9*T2^4 - 846*T1^10*T2^4 - 42*T1^11*T2^4 + 
     50*T1^12*T2^4 - 44*T2^5 - 42*T1*T2^5 + 1039*T1^2*T2^5 - 405*T1^3*T2^5 - 
     656*T1^4*T2^5 - 230*T1^5*T2^5 - 486*T1^6*T2^5 - 486*T1^7*T2^5 - 
     230*T1^8*T2^5 - 656*T1^9*T2^5 - 405*T1^10*T2^5 + 1039*T1^11*T2^5 - 
     42*T1^12*T2^5 - 44*T1^13*T2^5 + 32*T2^6 + 84*T1*T2^6 - 846*T1^2*T2^6 - 
     405*T1^3*T2^6 + 1373*T1^4*T2^6 - 486*T1^5*T2^6 + 1733*T1^6*T2^6 - 
     795*T1^7*T2^6 + 1733*T1^8*T2^6 - 486*T1^9*T2^6 + 1373*T1^10*T2^6 - 
     405*T1^11*T2^6 - 846*T1^12*T2^6 + 84*T1^13*T2^6 + 32*T1^14*T2^6 - 
     14*T2^7 - 126*T1*T2^7 + 643*T1^2*T2^7 + 601*T1^3*T2^7 - 656*T1^4*T2^7 - 
     486*T1^5*T2^7 - 795*T1^6*T2^7 - 420*T1^7*T2^7 - 420*T1^8*T2^7 - 
     795*T1^9*T2^7 - 486*T1^10*T2^7 - 656*T1^11*T2^7 + 601*T1^12*T2^7 + 
     643*T1^13*T2^7 - 126*T1^14*T2^7 - 14*T1^15*T2^7 + 2*T2^8 + 84*T1*T2^8 - 
     143*T1^2*T2^8 - 1128*T1^3*T2^8 + 725*T1^4*T2^8 - 230*T1^5*T2^8 + 
     1733*T1^6*T2^8 - 420*T1^7*T2^8 + 1368*T1^8*T2^8 - 420*T1^9*T2^8 + 
     1733*T1^10*T2^8 - 230*T1^11*T2^8 + 725*T1^12*T2^8 - 1128*T1^13*T2^8 - 
     143*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 14*T1*T2^9 - 
     126*T1^2*T2^9 + 643*T1^3*T2^9 + 601*T1^4*T2^9 - 656*T1^5*T2^9 - 
     486*T1^6*T2^9 - 795*T1^7*T2^9 - 420*T1^8*T2^9 - 420*T1^9*T2^9 - 
     795*T1^10*T2^9 - 486*T1^11*T2^9 - 656*T1^12*T2^9 + 601*T1^13*T2^9 + 
     643*T1^14*T2^9 - 126*T1^15*T2^9 - 14*T1^16*T2^9 + 32*T1^2*T2^10 + 
     84*T1^3*T2^10 - 846*T1^4*T2^10 - 405*T1^5*T2^10 + 1373*T1^6*T2^10 - 
     486*T1^7*T2^10 + 1733*T1^8*T2^10 - 795*T1^9*T2^10 + 1733*T1^10*T2^10 - 
     486*T1^11*T2^10 + 1373*T1^12*T2^10 - 405*T1^13*T2^10 - 846*T1^14*T2^10 + 
     84*T1^15*T2^10 + 32*T1^16*T2^10 - 44*T1^3*T2^11 - 42*T1^4*T2^11 + 
     1039*T1^5*T2^11 - 405*T1^6*T2^11 - 656*T1^7*T2^11 - 230*T1^8*T2^11 - 
     486*T1^9*T2^11 - 486*T1^10*T2^11 - 230*T1^11*T2^11 - 656*T1^12*T2^11 - 
     405*T1^13*T2^11 + 1039*T1^14*T2^11 - 42*T1^15*T2^11 - 44*T1^16*T2^11 + 
     50*T1^4*T2^12 - 42*T1^5*T2^12 - 846*T1^6*T2^12 + 601*T1^7*T2^12 + 
     725*T1^8*T2^12 - 656*T1^9*T2^12 + 1373*T1^10*T2^12 - 656*T1^11*T2^12 + 
     725*T1^12*T2^12 + 601*T1^13*T2^12 - 846*T1^14*T2^12 - 42*T1^15*T2^12 + 
     50*T1^16*T2^12 - 44*T1^5*T2^13 + 84*T1^6*T2^13 + 643*T1^7*T2^13 - 
     1128*T1^8*T2^13 + 601*T1^9*T2^13 - 405*T1^10*T2^13 - 405*T1^11*T2^13 + 
     601*T1^12*T2^13 - 1128*T1^13*T2^13 + 643*T1^14*T2^13 + 84*T1^15*T2^13 - 
     44*T1^16*T2^13 + 32*T1^6*T2^14 - 126*T1^7*T2^14 - 143*T1^8*T2^14 + 
     643*T1^9*T2^14 - 846*T1^10*T2^14 + 1039*T1^11*T2^14 - 846*T1^12*T2^14 + 
     643*T1^13*T2^14 - 143*T1^14*T2^14 - 126*T1^15*T2^14 + 32*T1^16*T2^14 - 
     14*T1^7*T2^15 + 84*T1^8*T2^15 - 126*T1^9*T2^15 + 84*T1^10*T2^15 - 
     42*T1^11*T2^15 - 42*T1^12*T2^15 + 84*T1^13*T2^15 - 126*T1^14*T2^15 + 
     84*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)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 684] -> 
  {(2 - 14*T + 32*T^2 - 39*T^3 + 32*T^4 - 14*T^5 + 2*T^6)/T^3, 
   (9 - 63*T1 + 143*T1^2 - 173*T1^3 + 143*T1^4 - 63*T1^5 + 9*T1^6 - 63*T2 + 
     378*T1*T2 - 560*T1^2*T2 + 210*T1^3*T2 + 210*T1^4*T2 - 560*T1^5*T2 + 
     378*T1^6*T2 - 63*T1^7*T2 + 143*T2^2 - 560*T1*T2^2 - 701*T1^2*T2^2 + 
     3357*T1^3*T2^2 - 4079*T1^4*T2^2 + 3357*T1^5*T2^2 - 701*T1^6*T2^2 - 
     560*T1^7*T2^2 + 143*T1^8*T2^2 - 173*T2^3 + 210*T1*T2^3 + 
     3357*T1^2*T2^3 - 6088*T1^3*T2^3 + 2076*T1^4*T2^3 + 2076*T1^5*T2^3 - 
     6088*T1^6*T2^3 + 3357*T1^7*T2^3 + 210*T1^8*T2^3 - 173*T1^9*T2^3 + 
     143*T2^4 + 210*T1*T2^4 - 4079*T1^2*T2^4 + 2076*T1^3*T2^4 + 
     7824*T1^4*T2^4 - 9908*T1^5*T2^4 + 7824*T1^6*T2^4 + 2076*T1^7*T2^4 - 
     4079*T1^8*T2^4 + 210*T1^9*T2^4 + 143*T1^10*T2^4 - 63*T2^5 - 
     560*T1*T2^5 + 3357*T1^2*T2^5 + 2076*T1^3*T2^5 - 9908*T1^4*T2^5 + 
     3366*T1^5*T2^5 + 3366*T1^6*T2^5 - 9908*T1^7*T2^5 + 2076*T1^8*T2^5 + 
     3357*T1^9*T2^5 - 560*T1^10*T2^5 - 63*T1^11*T2^5 + 9*T2^6 + 378*T1*T2^6 - 
     701*T1^2*T2^6 - 6088*T1^3*T2^6 + 7824*T1^4*T2^6 + 3366*T1^5*T2^6 - 
     5724*T1^6*T2^6 + 3366*T1^7*T2^6 + 7824*T1^8*T2^6 - 6088*T1^9*T2^6 - 
     701*T1^10*T2^6 + 378*T1^11*T2^6 + 9*T1^12*T2^6 - 63*T1*T2^7 - 
     560*T1^2*T2^7 + 3357*T1^3*T2^7 + 2076*T1^4*T2^7 - 9908*T1^5*T2^7 + 
     3366*T1^6*T2^7 + 3366*T1^7*T2^7 - 9908*T1^8*T2^7 + 2076*T1^9*T2^7 + 
     3357*T1^10*T2^7 - 560*T1^11*T2^7 - 63*T1^12*T2^7 + 143*T1^2*T2^8 + 
     210*T1^3*T2^8 - 4079*T1^4*T2^8 + 2076*T1^5*T2^8 + 7824*T1^6*T2^8 - 
     9908*T1^7*T2^8 + 7824*T1^8*T2^8 + 2076*T1^9*T2^8 - 4079*T1^10*T2^8 + 
     210*T1^11*T2^8 + 143*T1^12*T2^8 - 173*T1^3*T2^9 + 210*T1^4*T2^9 + 
     3357*T1^5*T2^9 - 6088*T1^6*T2^9 + 2076*T1^7*T2^9 + 2076*T1^8*T2^9 - 
     6088*T1^9*T2^9 + 3357*T1^10*T2^9 + 210*T1^11*T2^9 - 173*T1^12*T2^9 + 
     143*T1^4*T2^10 - 560*T1^5*T2^10 - 701*T1^6*T2^10 + 3357*T1^7*T2^10 - 
     4079*T1^8*T2^10 + 3357*T1^9*T2^10 - 701*T1^10*T2^10 - 560*T1^11*T2^10 + 
     143*T1^12*T2^10 - 63*T1^5*T2^11 + 378*T1^6*T2^11 - 560*T1^7*T2^11 + 
     210*T1^8*T2^11 + 210*T1^9*T2^11 - 560*T1^10*T2^11 + 378*T1^11*T2^11 - 
     63*T1^12*T2^11 + 9*T1^6*T2^12 - 63*T1^7*T2^12 + 143*T1^8*T2^12 - 
     173*T1^9*T2^12 + 143*T1^10*T2^12 - 63*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 685] -> 
  {-(((1 - T + T^2)*(4 - 17*T + 25*T^2 - 17*T^3 + 4*T^4))/T^3), 
   -((144 - 740*T1 + 1596*T1^2 - 2040*T1^3 + 1596*T1^4 - 740*T1^5 + 
      144*T1^6 - 740*T2 + 3070*T1*T2 - 4421*T1^2*T2 + 2293*T1^3*T2 + 
      2293*T1^4*T2 - 4421*T1^5*T2 + 3070*T1^6*T2 - 740*T1^7*T2 + 1596*T2^2 - 
      4421*T1*T2^2 - 210*T1^2*T2^2 + 11464*T1^3*T2^2 - 18704*T1^4*T2^2 + 
      11464*T1^5*T2^2 - 210*T1^6*T2^2 - 4421*T1^7*T2^2 + 1596*T1^8*T2^2 - 
      2040*T2^3 + 2293*T1*T2^3 + 11464*T1^2*T2^3 - 22680*T1^3*T2^3 + 
      13561*T1^4*T2^3 + 13561*T1^5*T2^3 - 22680*T1^6*T2^3 + 11464*T1^7*T2^3 + 
      2293*T1^8*T2^3 - 2040*T1^9*T2^3 + 1596*T2^4 + 2293*T1*T2^4 - 
      18704*T1^2*T2^4 + 13561*T1^3*T2^4 + 15270*T1^4*T2^4 - 38264*T1^5*T2^4 + 
      15270*T1^6*T2^4 + 13561*T1^7*T2^4 - 18704*T1^8*T2^4 + 2293*T1^9*T2^4 + 
      1596*T1^10*T2^4 - 740*T2^5 - 4421*T1*T2^5 + 11464*T1^2*T2^5 + 
      13561*T1^3*T2^5 - 38264*T1^4*T2^5 + 25918*T1^5*T2^5 + 25918*T1^6*T2^5 - 
      38264*T1^7*T2^5 + 13561*T1^8*T2^5 + 11464*T1^9*T2^5 - 4421*T1^10*T2^5 - 
      740*T1^11*T2^5 + 144*T2^6 + 3070*T1*T2^6 - 210*T1^2*T2^6 - 
      22680*T1^3*T2^6 + 15270*T1^4*T2^6 + 25918*T1^5*T2^6 - 60060*T1^6*T2^6 + 
      25918*T1^7*T2^6 + 15270*T1^8*T2^6 - 22680*T1^9*T2^6 - 210*T1^10*T2^6 + 
      3070*T1^11*T2^6 + 144*T1^12*T2^6 - 740*T1*T2^7 - 4421*T1^2*T2^7 + 
      11464*T1^3*T2^7 + 13561*T1^4*T2^7 - 38264*T1^5*T2^7 + 25918*T1^6*T2^7 + 
      25918*T1^7*T2^7 - 38264*T1^8*T2^7 + 13561*T1^9*T2^7 + 
      11464*T1^10*T2^7 - 4421*T1^11*T2^7 - 740*T1^12*T2^7 + 1596*T1^2*T2^8 + 
      2293*T1^3*T2^8 - 18704*T1^4*T2^8 + 13561*T1^5*T2^8 + 15270*T1^6*T2^8 - 
      38264*T1^7*T2^8 + 15270*T1^8*T2^8 + 13561*T1^9*T2^8 - 
      18704*T1^10*T2^8 + 2293*T1^11*T2^8 + 1596*T1^12*T2^8 - 2040*T1^3*T2^9 + 
      2293*T1^4*T2^9 + 11464*T1^5*T2^9 - 22680*T1^6*T2^9 + 13561*T1^7*T2^9 + 
      13561*T1^8*T2^9 - 22680*T1^9*T2^9 + 11464*T1^10*T2^9 + 
      2293*T1^11*T2^9 - 2040*T1^12*T2^9 + 1596*T1^4*T2^10 - 4421*T1^5*T2^10 - 
      210*T1^6*T2^10 + 11464*T1^7*T2^10 - 18704*T1^8*T2^10 + 
      11464*T1^9*T2^10 - 210*T1^10*T2^10 - 4421*T1^11*T2^10 + 
      1596*T1^12*T2^10 - 740*T1^5*T2^11 + 3070*T1^6*T2^11 - 4421*T1^7*T2^11 + 
      2293*T1^8*T2^11 + 2293*T1^9*T2^11 - 4421*T1^10*T2^11 + 
      3070*T1^11*T2^11 - 740*T1^12*T2^11 + 144*T1^6*T2^12 - 740*T1^7*T2^12 + 
      1596*T1^8*T2^12 - 2040*T1^9*T2^12 + 1596*T1^10*T2^12 - 
      740*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 686] -> 
  {-((5 - 23*T + 47*T^2 - 59*T^3 + 47*T^4 - 23*T^5 + 5*T^6)/T^3), 
   -((270 - 1220*T1 + 2456*T1^2 - 3074*T1^3 + 2456*T1^4 - 1220*T1^5 + 
      270*T1^6 - 1220*T2 + 4310*T1*T2 - 5633*T1^2*T2 + 2819*T1^3*T2 + 
      2819*T1^4*T2 - 5633*T1^5*T2 + 4310*T1^6*T2 - 1220*T1^7*T2 + 2456*T2^2 - 
      5633*T1*T2^2 - 186*T1^2*T2^2 + 11785*T1^3*T2^2 - 19120*T1^4*T2^2 + 
      11785*T1^5*T2^2 - 186*T1^6*T2^2 - 5633*T1^7*T2^2 + 2456*T1^8*T2^2 - 
      3074*T2^3 + 2819*T1*T2^3 + 11785*T1^2*T2^3 - 21054*T1^3*T2^3 + 
      12485*T1^4*T2^3 + 12485*T1^5*T2^3 - 21054*T1^6*T2^3 + 11785*T1^7*T2^3 + 
      2819*T1^8*T2^3 - 3074*T1^9*T2^3 + 2456*T2^4 + 2819*T1*T2^4 - 
      19120*T1^2*T2^4 + 12485*T1^3*T2^4 + 11189*T1^4*T2^4 - 30689*T1^5*T2^4 + 
      11189*T1^6*T2^4 + 12485*T1^7*T2^4 - 19120*T1^8*T2^4 + 2819*T1^9*T2^4 + 
      2456*T1^10*T2^4 - 1220*T2^5 - 5633*T1*T2^5 + 11785*T1^2*T2^5 + 
      12485*T1^3*T2^5 - 30689*T1^4*T2^5 + 21112*T1^5*T2^5 + 21112*T1^6*T2^5 - 
      30689*T1^7*T2^5 + 12485*T1^8*T2^5 + 11785*T1^9*T2^5 - 5633*T1^10*T2^5 - 
      1220*T1^11*T2^5 + 270*T2^6 + 4310*T1*T2^6 - 186*T1^2*T2^6 - 
      21054*T1^3*T2^6 + 11189*T1^4*T2^6 + 21112*T1^5*T2^6 - 48852*T1^6*T2^6 + 
      21112*T1^7*T2^6 + 11189*T1^8*T2^6 - 21054*T1^9*T2^6 - 186*T1^10*T2^6 + 
      4310*T1^11*T2^6 + 270*T1^12*T2^6 - 1220*T1*T2^7 - 5633*T1^2*T2^7 + 
      11785*T1^3*T2^7 + 12485*T1^4*T2^7 - 30689*T1^5*T2^7 + 21112*T1^6*T2^7 + 
      21112*T1^7*T2^7 - 30689*T1^8*T2^7 + 12485*T1^9*T2^7 + 
      11785*T1^10*T2^7 - 5633*T1^11*T2^7 - 1220*T1^12*T2^7 + 2456*T1^2*T2^8 + 
      2819*T1^3*T2^8 - 19120*T1^4*T2^8 + 12485*T1^5*T2^8 + 11189*T1^6*T2^8 - 
      30689*T1^7*T2^8 + 11189*T1^8*T2^8 + 12485*T1^9*T2^8 - 
      19120*T1^10*T2^8 + 2819*T1^11*T2^8 + 2456*T1^12*T2^8 - 3074*T1^3*T2^9 + 
      2819*T1^4*T2^9 + 11785*T1^5*T2^9 - 21054*T1^6*T2^9 + 12485*T1^7*T2^9 + 
      12485*T1^8*T2^9 - 21054*T1^9*T2^9 + 11785*T1^10*T2^9 + 
      2819*T1^11*T2^9 - 3074*T1^12*T2^9 + 2456*T1^4*T2^10 - 5633*T1^5*T2^10 - 
      186*T1^6*T2^10 + 11785*T1^7*T2^10 - 19120*T1^8*T2^10 + 
      11785*T1^9*T2^10 - 186*T1^10*T2^10 - 5633*T1^11*T2^10 + 
      2456*T1^12*T2^10 - 1220*T1^5*T2^11 + 4310*T1^6*T2^11 - 
      5633*T1^7*T2^11 + 2819*T1^8*T2^11 + 2819*T1^9*T2^11 - 
      5633*T1^10*T2^11 + 4310*T1^11*T2^11 - 1220*T1^12*T2^11 + 
      270*T1^6*T2^12 - 1220*T1^7*T2^12 + 2456*T1^8*T2^12 - 3074*T1^9*T2^12 + 
      2456*T1^10*T2^12 - 1220*T1^11*T2^12 + 270*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 687] -> 
  {(3 - 21*T + 53*T^2 - 69*T^3 + 53*T^4 - 21*T^5 + 3*T^6)/T^3, 
   (30 - 207*T1 + 512*T1^2 - 658*T1^3 + 512*T1^4 - 207*T1^5 + 30*T1^6 - 
     207*T2 + 1228*T1*T2 - 2134*T1^2*T2 + 1032*T1^3*T2 + 1032*T1^4*T2 - 
     2134*T1^5*T2 + 1228*T1^6*T2 - 207*T1^7*T2 + 512*T2^2 - 2134*T1*T2^2 - 
     494*T1^2*T2^2 + 9625*T1^3*T2^2 - 14090*T1^4*T2^2 + 9625*T1^5*T2^2 - 
     494*T1^6*T2^2 - 2134*T1^7*T2^2 + 512*T1^8*T2^2 - 658*T2^3 + 
     1032*T1*T2^3 + 9625*T1^2*T2^3 - 22840*T1^3*T2^3 + 11328*T1^4*T2^3 + 
     11328*T1^5*T2^3 - 22840*T1^6*T2^3 + 9625*T1^7*T2^3 + 1032*T1^8*T2^3 - 
     658*T1^9*T2^3 + 512*T2^4 + 1032*T1*T2^4 - 14090*T1^2*T2^4 + 
     11328*T1^3*T2^4 + 29089*T1^4*T2^4 - 49307*T1^5*T2^4 + 29089*T1^6*T2^4 + 
     11328*T1^7*T2^4 - 14090*T1^8*T2^4 + 1032*T1^9*T2^4 + 512*T1^10*T2^4 - 
     207*T2^5 - 2134*T1*T2^5 + 9625*T1^2*T2^5 + 11328*T1^3*T2^5 - 
     49307*T1^4*T2^5 + 25822*T1^5*T2^5 + 25822*T1^6*T2^5 - 49307*T1^7*T2^5 + 
     11328*T1^8*T2^5 + 9625*T1^9*T2^5 - 2134*T1^10*T2^5 - 207*T1^11*T2^5 + 
     30*T2^6 + 1228*T1*T2^6 - 494*T1^2*T2^6 - 22840*T1^3*T2^6 + 
     29089*T1^4*T2^6 + 25822*T1^5*T2^6 - 54552*T1^6*T2^6 + 25822*T1^7*T2^6 + 
     29089*T1^8*T2^6 - 22840*T1^9*T2^6 - 494*T1^10*T2^6 + 1228*T1^11*T2^6 + 
     30*T1^12*T2^6 - 207*T1*T2^7 - 2134*T1^2*T2^7 + 9625*T1^3*T2^7 + 
     11328*T1^4*T2^7 - 49307*T1^5*T2^7 + 25822*T1^6*T2^7 + 25822*T1^7*T2^7 - 
     49307*T1^8*T2^7 + 11328*T1^9*T2^7 + 9625*T1^10*T2^7 - 2134*T1^11*T2^7 - 
     207*T1^12*T2^7 + 512*T1^2*T2^8 + 1032*T1^3*T2^8 - 14090*T1^4*T2^8 + 
     11328*T1^5*T2^8 + 29089*T1^6*T2^8 - 49307*T1^7*T2^8 + 29089*T1^8*T2^8 + 
     11328*T1^9*T2^8 - 14090*T1^10*T2^8 + 1032*T1^11*T2^8 + 512*T1^12*T2^8 - 
     658*T1^3*T2^9 + 1032*T1^4*T2^9 + 9625*T1^5*T2^9 - 22840*T1^6*T2^9 + 
     11328*T1^7*T2^9 + 11328*T1^8*T2^9 - 22840*T1^9*T2^9 + 9625*T1^10*T2^9 + 
     1032*T1^11*T2^9 - 658*T1^12*T2^9 + 512*T1^4*T2^10 - 2134*T1^5*T2^10 - 
     494*T1^6*T2^10 + 9625*T1^7*T2^10 - 14090*T1^8*T2^10 + 9625*T1^9*T2^10 - 
     494*T1^10*T2^10 - 2134*T1^11*T2^10 + 512*T1^12*T2^10 - 207*T1^5*T2^11 + 
     1228*T1^6*T2^11 - 2134*T1^7*T2^11 + 1032*T1^8*T2^11 + 1032*T1^9*T2^11 - 
     2134*T1^10*T2^11 + 1228*T1^11*T2^11 - 207*T1^12*T2^11 + 30*T1^6*T2^12 - 
     207*T1^7*T2^12 + 512*T1^8*T2^12 - 658*T1^9*T2^12 + 512*T1^10*T2^12 - 
     207*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 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, (17 - 84*T1 + 216*T1^2 - 345*T1^3 + 401*T1^4 - 345*T1^5 + 216*T1^6 - 
     84*T1^7 + 17*T1^8 - 84*T2 + 332*T1*T2 - 656*T1^2*T2 + 644*T1^3*T2 - 
     280*T1^4*T2 - 280*T1^5*T2 + 644*T1^6*T2 - 656*T1^7*T2 + 332*T1^8*T2 - 
     84*T1^9*T2 + 216*T2^2 - 656*T1*T2^2 + 905*T1^2*T2^2 - 119*T1^3*T2^2 - 
     750*T1^4*T2^2 + 1241*T1^5*T2^2 - 750*T1^6*T2^2 - 119*T1^7*T2^2 + 
     905*T1^8*T2^2 - 656*T1^9*T2^2 + 216*T1^10*T2^2 - 345*T2^3 + 
     644*T1*T2^3 - 119*T1^2*T2^3 - 1862*T1^3*T2^3 + 2070*T1^4*T2^3 - 
     1085*T1^5*T2^3 - 1085*T1^6*T2^3 + 2070*T1^7*T2^3 - 1862*T1^8*T2^3 - 
     119*T1^9*T2^3 + 644*T1^10*T2^3 - 345*T1^11*T2^3 + 401*T2^4 - 
     280*T1*T2^4 - 750*T1^2*T2^4 + 2070*T1^3*T2^4 + 1307*T1^4*T2^4 - 
     4301*T1^5*T2^4 + 6399*T1^6*T2^4 - 4301*T1^7*T2^4 + 1307*T1^8*T2^4 + 
     2070*T1^9*T2^4 - 750*T1^10*T2^4 - 280*T1^11*T2^4 + 401*T1^12*T2^4 - 
     345*T2^5 - 280*T1*T2^5 + 1241*T1^2*T2^5 - 1085*T1^3*T2^5 - 
     4301*T1^4*T2^5 + 4422*T1^5*T2^5 - 2697*T1^6*T2^5 - 2697*T1^7*T2^5 + 
     4422*T1^8*T2^5 - 4301*T1^9*T2^5 - 1085*T1^10*T2^5 + 1241*T1^11*T2^5 - 
     280*T1^12*T2^5 - 345*T1^13*T2^5 + 216*T2^6 + 644*T1*T2^6 - 
     750*T1^2*T2^6 - 1085*T1^3*T2^6 + 6399*T1^4*T2^6 - 2697*T1^5*T2^6 + 
     569*T1^6*T2^6 + 2605*T1^7*T2^6 + 569*T1^8*T2^6 - 2697*T1^9*T2^6 + 
     6399*T1^10*T2^6 - 1085*T1^11*T2^6 - 750*T1^12*T2^6 + 644*T1^13*T2^6 + 
     216*T1^14*T2^6 - 84*T2^7 - 656*T1*T2^7 - 119*T1^2*T2^7 + 
     2070*T1^3*T2^7 - 4301*T1^4*T2^7 - 2697*T1^5*T2^7 + 2605*T1^6*T2^7 - 
     2646*T1^7*T2^7 - 2646*T1^8*T2^7 + 2605*T1^9*T2^7 - 2697*T1^10*T2^7 - 
     4301*T1^11*T2^7 + 2070*T1^12*T2^7 - 119*T1^13*T2^7 - 656*T1^14*T2^7 - 
     84*T1^15*T2^7 + 17*T2^8 + 332*T1*T2^8 + 905*T1^2*T2^8 - 1862*T1^3*T2^8 + 
     1307*T1^4*T2^8 + 4422*T1^5*T2^8 + 569*T1^6*T2^8 - 2646*T1^7*T2^8 + 
     6504*T1^8*T2^8 - 2646*T1^9*T2^8 + 569*T1^10*T2^8 + 4422*T1^11*T2^8 + 
     1307*T1^12*T2^8 - 1862*T1^13*T2^8 + 905*T1^14*T2^8 + 332*T1^15*T2^8 + 
     17*T1^16*T2^8 - 84*T1*T2^9 - 656*T1^2*T2^9 - 119*T1^3*T2^9 + 
     2070*T1^4*T2^9 - 4301*T1^5*T2^9 - 2697*T1^6*T2^9 + 2605*T1^7*T2^9 - 
     2646*T1^8*T2^9 - 2646*T1^9*T2^9 + 2605*T1^10*T2^9 - 2697*T1^11*T2^9 - 
     4301*T1^12*T2^9 + 2070*T1^13*T2^9 - 119*T1^14*T2^9 - 656*T1^15*T2^9 - 
     84*T1^16*T2^9 + 216*T1^2*T2^10 + 644*T1^3*T2^10 - 750*T1^4*T2^10 - 
     1085*T1^5*T2^10 + 6399*T1^6*T2^10 - 2697*T1^7*T2^10 + 569*T1^8*T2^10 + 
     2605*T1^9*T2^10 + 569*T1^10*T2^10 - 2697*T1^11*T2^10 + 
     6399*T1^12*T2^10 - 1085*T1^13*T2^10 - 750*T1^14*T2^10 + 
     644*T1^15*T2^10 + 216*T1^16*T2^10 - 345*T1^3*T2^11 - 280*T1^4*T2^11 + 
     1241*T1^5*T2^11 - 1085*T1^6*T2^11 - 4301*T1^7*T2^11 + 4422*T1^8*T2^11 - 
     2697*T1^9*T2^11 - 2697*T1^10*T2^11 + 4422*T1^11*T2^11 - 
     4301*T1^12*T2^11 - 1085*T1^13*T2^11 + 1241*T1^14*T2^11 - 
     280*T1^15*T2^11 - 345*T1^16*T2^11 + 401*T1^4*T2^12 - 280*T1^5*T2^12 - 
     750*T1^6*T2^12 + 2070*T1^7*T2^12 + 1307*T1^8*T2^12 - 4301*T1^9*T2^12 + 
     6399*T1^10*T2^12 - 4301*T1^11*T2^12 + 1307*T1^12*T2^12 + 
     2070*T1^13*T2^12 - 750*T1^14*T2^12 - 280*T1^15*T2^12 + 401*T1^16*T2^12 - 
     345*T1^5*T2^13 + 644*T1^6*T2^13 - 119*T1^7*T2^13 - 1862*T1^8*T2^13 + 
     2070*T1^9*T2^13 - 1085*T1^10*T2^13 - 1085*T1^11*T2^13 + 
     2070*T1^12*T2^13 - 1862*T1^13*T2^13 - 119*T1^14*T2^13 + 
     644*T1^15*T2^13 - 345*T1^16*T2^13 + 216*T1^6*T2^14 - 656*T1^7*T2^14 + 
     905*T1^8*T2^14 - 119*T1^9*T2^14 - 750*T1^10*T2^14 + 1241*T1^11*T2^14 - 
     750*T1^12*T2^14 - 119*T1^13*T2^14 + 905*T1^14*T2^14 - 656*T1^15*T2^14 + 
     216*T1^16*T2^14 - 84*T1^7*T2^15 + 332*T1^8*T2^15 - 656*T1^9*T2^15 + 
     644*T1^10*T2^15 - 280*T1^11*T2^15 - 280*T1^12*T2^15 + 644*T1^13*T2^15 - 
     656*T1^14*T2^15 + 332*T1^15*T2^15 - 84*T1^16*T2^15 + 17*T1^8*T2^16 - 
     84*T1^9*T2^16 + 216*T1^10*T2^16 - 345*T1^11*T2^16 + 401*T1^12*T2^16 - 
     345*T1^13*T2^16 + 216*T1^14*T2^16 - 84*T1^15*T2^16 + 17*T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 689] -> 
  {(2 - 13*T + 29*T^2 - 35*T^3 + 29*T^4 - 13*T^5 + 2*T^6)/T^3, 
   (9 - 59*T1 + 132*T1^2 - 159*T1^3 + 132*T1^4 - 59*T1^5 + 9*T1^6 - 59*T2 + 
     328*T1*T2 - 479*T1^2*T2 + 177*T1^3*T2 + 177*T1^4*T2 - 479*T1^5*T2 + 
     328*T1^6*T2 - 59*T1^7*T2 + 132*T2^2 - 479*T1*T2^2 - 453*T1^2*T2^2 + 
     2450*T1^3*T2^2 - 2945*T1^4*T2^2 + 2450*T1^5*T2^2 - 453*T1^6*T2^2 - 
     479*T1^7*T2^2 + 132*T1^8*T2^2 - 159*T2^3 + 177*T1*T2^3 + 
     2450*T1^2*T2^3 - 4470*T1^3*T2^3 + 1477*T1^4*T2^3 + 1477*T1^5*T2^3 - 
     4470*T1^6*T2^3 + 2450*T1^7*T2^3 + 177*T1^8*T2^3 - 159*T1^9*T2^3 + 
     132*T2^4 + 177*T1*T2^4 - 2945*T1^2*T2^4 + 1477*T1^3*T2^4 + 
     5904*T1^4*T2^4 - 7498*T1^5*T2^4 + 5904*T1^6*T2^4 + 1477*T1^7*T2^4 - 
     2945*T1^8*T2^4 + 177*T1^9*T2^4 + 132*T1^10*T2^4 - 59*T2^5 - 
     479*T1*T2^5 + 2450*T1^2*T2^5 + 1477*T1^3*T2^5 - 7498*T1^4*T2^5 + 
     2740*T1^5*T2^5 + 2740*T1^6*T2^5 - 7498*T1^7*T2^5 + 1477*T1^8*T2^5 + 
     2450*T1^9*T2^5 - 479*T1^10*T2^5 - 59*T1^11*T2^5 + 9*T2^6 + 328*T1*T2^6 - 
     453*T1^2*T2^6 - 4470*T1^3*T2^6 + 5904*T1^4*T2^6 + 2740*T1^5*T2^6 - 
     5112*T1^6*T2^6 + 2740*T1^7*T2^6 + 5904*T1^8*T2^6 - 4470*T1^9*T2^6 - 
     453*T1^10*T2^6 + 328*T1^11*T2^6 + 9*T1^12*T2^6 - 59*T1*T2^7 - 
     479*T1^2*T2^7 + 2450*T1^3*T2^7 + 1477*T1^4*T2^7 - 7498*T1^5*T2^7 + 
     2740*T1^6*T2^7 + 2740*T1^7*T2^7 - 7498*T1^8*T2^7 + 1477*T1^9*T2^7 + 
     2450*T1^10*T2^7 - 479*T1^11*T2^7 - 59*T1^12*T2^7 + 132*T1^2*T2^8 + 
     177*T1^3*T2^8 - 2945*T1^4*T2^8 + 1477*T1^5*T2^8 + 5904*T1^6*T2^8 - 
     7498*T1^7*T2^8 + 5904*T1^8*T2^8 + 1477*T1^9*T2^8 - 2945*T1^10*T2^8 + 
     177*T1^11*T2^8 + 132*T1^12*T2^8 - 159*T1^3*T2^9 + 177*T1^4*T2^9 + 
     2450*T1^5*T2^9 - 4470*T1^6*T2^9 + 1477*T1^7*T2^9 + 1477*T1^8*T2^9 - 
     4470*T1^9*T2^9 + 2450*T1^10*T2^9 + 177*T1^11*T2^9 - 159*T1^12*T2^9 + 
     132*T1^4*T2^10 - 479*T1^5*T2^10 - 453*T1^6*T2^10 + 2450*T1^7*T2^10 - 
     2945*T1^8*T2^10 + 2450*T1^9*T2^10 - 453*T1^10*T2^10 - 479*T1^11*T2^10 + 
     132*T1^12*T2^10 - 59*T1^5*T2^11 + 328*T1^6*T2^11 - 479*T1^7*T2^11 + 
     177*T1^8*T2^11 + 177*T1^9*T2^11 - 479*T1^10*T2^11 + 328*T1^11*T2^11 - 
     59*T1^12*T2^11 + 9*T1^6*T2^12 - 59*T1^7*T2^12 + 132*T1^8*T2^12 - 
     159*T1^9*T2^12 + 132*T1^10*T2^12 - 59*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 690] -> 
  {(4 - 22*T + 37*T^2 - 22*T^3 + 4*T^4)/T^2, 
   (16 - 100*T1 + 176*T1^2 - 100*T1^3 + 16*T1^4 - 100*T2 + 526*T1*T2 - 
     476*T1^2*T2 - 476*T1^3*T2 + 526*T1^4*T2 - 100*T1^5*T2 + 176*T2^2 - 
     476*T1*T2^2 - 1775*T1^2*T2^2 + 4627*T1^3*T2^2 - 1775*T1^4*T2^2 - 
     476*T1^5*T2^2 + 176*T1^6*T2^2 - 100*T2^3 - 476*T1*T2^3 + 
     4627*T1^2*T2^3 - 4624*T1^3*T2^3 - 4624*T1^4*T2^3 + 4627*T1^5*T2^3 - 
     476*T1^6*T2^3 - 100*T1^7*T2^3 + 16*T2^4 + 526*T1*T2^4 - 1775*T1^2*T2^4 - 
     4624*T1^3*T2^4 + 13236*T1^4*T2^4 - 4624*T1^5*T2^4 - 1775*T1^6*T2^4 + 
     526*T1^7*T2^4 + 16*T1^8*T2^4 - 100*T1*T2^5 - 476*T1^2*T2^5 + 
     4627*T1^3*T2^5 - 4624*T1^4*T2^5 - 4624*T1^5*T2^5 + 4627*T1^6*T2^5 - 
     476*T1^7*T2^5 - 100*T1^8*T2^5 + 176*T1^2*T2^6 - 476*T1^3*T2^6 - 
     1775*T1^4*T2^6 + 4627*T1^5*T2^6 - 1775*T1^6*T2^6 - 476*T1^7*T2^6 + 
     176*T1^8*T2^6 - 100*T1^3*T2^7 + 526*T1^4*T2^7 - 476*T1^5*T2^7 - 
     476*T1^6*T2^7 + 526*T1^7*T2^7 - 100*T1^8*T2^7 + 16*T1^4*T2^8 - 
     100*T1^5*T2^8 + 176*T1^6*T2^8 - 100*T1^7*T2^8 + 16*T1^8*T2^8)/
    (T1^4*T2^4)}, Knot[12, Alternating, 691] -> 
  {(3 - 19*T + 33*T^2 - 19*T^3 + 3*T^4)/T^2, 
   (9 - 59*T1 + 105*T1^2 - 59*T1^3 + 9*T1^4 - 59*T2 + 328*T1*T2 - 
     302*T1^2*T2 - 302*T1^3*T2 + 328*T1^4*T2 - 59*T1^5*T2 + 105*T2^2 - 
     302*T1*T2^2 - 1308*T1^2*T2^2 + 3350*T1^3*T2^2 - 1308*T1^4*T2^2 - 
     302*T1^5*T2^2 + 105*T1^6*T2^2 - 59*T2^3 - 302*T1*T2^3 + 3350*T1^2*T2^3 - 
     3418*T1^3*T2^3 - 3418*T1^4*T2^3 + 3350*T1^5*T2^3 - 302*T1^6*T2^3 - 
     59*T1^7*T2^3 + 9*T2^4 + 328*T1*T2^4 - 1308*T1^2*T2^4 - 3418*T1^3*T2^4 + 
     9936*T1^4*T2^4 - 3418*T1^5*T2^4 - 1308*T1^6*T2^4 + 328*T1^7*T2^4 + 
     9*T1^8*T2^4 - 59*T1*T2^5 - 302*T1^2*T2^5 + 3350*T1^3*T2^5 - 
     3418*T1^4*T2^5 - 3418*T1^5*T2^5 + 3350*T1^6*T2^5 - 302*T1^7*T2^5 - 
     59*T1^8*T2^5 + 105*T1^2*T2^6 - 302*T1^3*T2^6 - 1308*T1^4*T2^6 + 
     3350*T1^5*T2^6 - 1308*T1^6*T2^6 - 302*T1^7*T2^6 + 105*T1^8*T2^6 - 
     59*T1^3*T2^7 + 328*T1^4*T2^7 - 302*T1^5*T2^7 - 302*T1^6*T2^7 + 
     328*T1^7*T2^7 - 59*T1^8*T2^7 + 9*T1^4*T2^8 - 59*T1^5*T2^8 + 
     105*T1^6*T2^8 - 59*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4)}, 
 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)*
      (17 - 50*T1 + 91*T1^2 - 107*T1^3 + 91*T1^4 - 50*T1^5 + 17*T1^6 - 
       50*T2 + 98*T1*T2 - 122*T1^2*T2 + 48*T1^3*T2 + 48*T1^4*T2 - 
       122*T1^5*T2 + 98*T1^6*T2 - 50*T1^7*T2 + 91*T2^2 - 122*T1*T2^2 + 
       135*T1^2*T2^2 - 17*T1^3*T2^2 - 9*T1^4*T2^2 - 17*T1^5*T2^2 + 
       135*T1^6*T2^2 - 122*T1^7*T2^2 + 91*T1^8*T2^2 - 107*T2^3 + 48*T1*T2^3 - 
       17*T1^2*T2^3 - 144*T1^3*T2^3 + 43*T1^4*T2^3 + 43*T1^5*T2^3 - 
       144*T1^6*T2^3 - 17*T1^7*T2^3 + 48*T1^8*T2^3 - 107*T1^9*T2^3 + 
       91*T2^4 + 48*T1*T2^4 - 9*T1^2*T2^4 + 43*T1^3*T2^4 + 273*T1^4*T2^4 - 
       319*T1^5*T2^4 + 273*T1^6*T2^4 + 43*T1^7*T2^4 - 9*T1^8*T2^4 + 
       48*T1^9*T2^4 + 91*T1^10*T2^4 - 50*T2^5 - 122*T1*T2^5 - 17*T1^2*T2^5 + 
       43*T1^3*T2^5 - 319*T1^4*T2^5 + 90*T1^5*T2^5 + 90*T1^6*T2^5 - 
       319*T1^7*T2^5 + 43*T1^8*T2^5 - 17*T1^9*T2^5 - 122*T1^10*T2^5 - 
       50*T1^11*T2^5 + 17*T2^6 + 98*T1*T2^6 + 135*T1^2*T2^6 - 144*T1^3*T2^6 + 
       273*T1^4*T2^6 + 90*T1^5*T2^6 - 120*T1^6*T2^6 + 90*T1^7*T2^6 + 
       273*T1^8*T2^6 - 144*T1^9*T2^6 + 135*T1^10*T2^6 + 98*T1^11*T2^6 + 
       17*T1^12*T2^6 - 50*T1*T2^7 - 122*T1^2*T2^7 - 17*T1^3*T2^7 + 
       43*T1^4*T2^7 - 319*T1^5*T2^7 + 90*T1^6*T2^7 + 90*T1^7*T2^7 - 
       319*T1^8*T2^7 + 43*T1^9*T2^7 - 17*T1^10*T2^7 - 122*T1^11*T2^7 - 
       50*T1^12*T2^7 + 91*T1^2*T2^8 + 48*T1^3*T2^8 - 9*T1^4*T2^8 + 
       43*T1^5*T2^8 + 273*T1^6*T2^8 - 319*T1^7*T2^8 + 273*T1^8*T2^8 + 
       43*T1^9*T2^8 - 9*T1^10*T2^8 + 48*T1^11*T2^8 + 91*T1^12*T2^8 - 
       107*T1^3*T2^9 + 48*T1^4*T2^9 - 17*T1^5*T2^9 - 144*T1^6*T2^9 + 
       43*T1^7*T2^9 + 43*T1^8*T2^9 - 144*T1^9*T2^9 - 17*T1^10*T2^9 + 
       48*T1^11*T2^9 - 107*T1^12*T2^9 + 91*T1^4*T2^10 - 122*T1^5*T2^10 + 
       135*T1^6*T2^10 - 17*T1^7*T2^10 - 9*T1^8*T2^10 - 17*T1^9*T2^10 + 
       135*T1^10*T2^10 - 122*T1^11*T2^10 + 91*T1^12*T2^10 - 50*T1^5*T2^11 + 
       98*T1^6*T2^11 - 122*T1^7*T2^11 + 48*T1^8*T2^11 + 48*T1^9*T2^11 - 
       122*T1^10*T2^11 + 98*T1^11*T2^11 - 50*T1^12*T2^11 + 17*T1^6*T2^12 - 
       50*T1^7*T2^12 + 91*T1^8*T2^12 - 107*T1^9*T2^12 + 91*T1^10*T2^12 - 
       50*T1^11*T2^12 + 17*T1^12*T2^12))/(T1^8*T2^8))}, 
 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 + 84*T1*T2 - 154*T1^2*T2 + 140*T1^3*T2 - 70*T1^4*T2 - 
      70*T1^5*T2 + 140*T1^6*T2 - 154*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
      36*T2^2 - 154*T1*T2^2 + 3*T1^2*T2^2 + 491*T1^3*T2^2 - 890*T1^4*T2^2 + 
      1193*T1^5*T2^2 - 890*T1^6*T2^2 + 491*T1^7*T2^2 + 3*T1^8*T2^2 - 
      154*T1^9*T2^2 + 36*T1^10*T2^2 - 56*T2^3 + 140*T1*T2^3 + 491*T1^2*T2^3 - 
      1266*T1^3*T2^3 + 1101*T1^4*T2^3 - 691*T1^5*T2^3 - 691*T1^6*T2^3 + 
      1101*T1^7*T2^3 - 1266*T1^8*T2^3 + 491*T1^9*T2^3 + 140*T1^10*T2^3 - 
      56*T1^11*T2^3 + 66*T2^4 - 70*T1*T2^4 - 890*T1^2*T2^4 + 1101*T1^3*T2^4 + 
      312*T1^4*T2^4 - 1054*T1^5*T2^4 + 2372*T1^6*T2^4 - 1054*T1^7*T2^4 + 
      312*T1^8*T2^4 + 1101*T1^9*T2^4 - 890*T1^10*T2^4 - 70*T1^11*T2^4 + 
      66*T1^12*T2^4 - 56*T2^5 - 70*T1*T2^5 + 1193*T1^2*T2^5 - 691*T1^3*T2^5 - 
      1054*T1^4*T2^5 + 752*T1^5*T2^5 - 1219*T1^6*T2^5 - 1219*T1^7*T2^5 + 
      752*T1^8*T2^5 - 1054*T1^9*T2^5 - 691*T1^10*T2^5 + 1193*T1^11*T2^5 - 
      70*T1^12*T2^5 - 56*T1^13*T2^5 + 36*T2^6 + 140*T1*T2^6 - 890*T1^2*T2^6 - 
      691*T1^3*T2^6 + 2372*T1^4*T2^6 - 1219*T1^5*T2^6 + 1684*T1^6*T2^6 + 
      412*T1^7*T2^6 + 1684*T1^8*T2^6 - 1219*T1^9*T2^6 + 2372*T1^10*T2^6 - 
      691*T1^11*T2^6 - 890*T1^12*T2^6 + 140*T1^13*T2^6 + 36*T1^14*T2^6 - 
      14*T2^7 - 154*T1*T2^7 + 491*T1^2*T2^7 + 1101*T1^3*T2^7 - 
      1054*T1^4*T2^7 - 1219*T1^5*T2^7 + 412*T1^6*T2^7 - 1554*T1^7*T2^7 - 
      1554*T1^8*T2^7 + 412*T1^9*T2^7 - 1219*T1^10*T2^7 - 1054*T1^11*T2^7 + 
      1101*T1^12*T2^7 + 491*T1^13*T2^7 - 154*T1^14*T2^7 - 14*T1^15*T2^7 + 
      2*T2^8 + 84*T1*T2^8 + 3*T1^2*T2^8 - 1266*T1^3*T2^8 + 312*T1^4*T2^8 + 
      752*T1^5*T2^8 + 1684*T1^6*T2^8 - 1554*T1^7*T2^8 + 4200*T1^8*T2^8 - 
      1554*T1^9*T2^8 + 1684*T1^10*T2^8 + 752*T1^11*T2^8 + 312*T1^12*T2^8 - 
      1266*T1^13*T2^8 + 3*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 
      14*T1*T2^9 - 154*T1^2*T2^9 + 491*T1^3*T2^9 + 1101*T1^4*T2^9 - 
      1054*T1^5*T2^9 - 1219*T1^6*T2^9 + 412*T1^7*T2^9 - 1554*T1^8*T2^9 - 
      1554*T1^9*T2^9 + 412*T1^10*T2^9 - 1219*T1^11*T2^9 - 1054*T1^12*T2^9 + 
      1101*T1^13*T2^9 + 491*T1^14*T2^9 - 154*T1^15*T2^9 - 14*T1^16*T2^9 + 
      36*T1^2*T2^10 + 140*T1^3*T2^10 - 890*T1^4*T2^10 - 691*T1^5*T2^10 + 
      2372*T1^6*T2^10 - 1219*T1^7*T2^10 + 1684*T1^8*T2^10 + 412*T1^9*T2^10 + 
      1684*T1^10*T2^10 - 1219*T1^11*T2^10 + 2372*T1^12*T2^10 - 
      691*T1^13*T2^10 - 890*T1^14*T2^10 + 140*T1^15*T2^10 + 36*T1^16*T2^10 - 
      56*T1^3*T2^11 - 70*T1^4*T2^11 + 1193*T1^5*T2^11 - 691*T1^6*T2^11 - 
      1054*T1^7*T2^11 + 752*T1^8*T2^11 - 1219*T1^9*T2^11 - 1219*T1^10*T2^11 + 
      752*T1^11*T2^11 - 1054*T1^12*T2^11 - 691*T1^13*T2^11 + 
      1193*T1^14*T2^11 - 70*T1^15*T2^11 - 56*T1^16*T2^11 + 66*T1^4*T2^12 - 
      70*T1^5*T2^12 - 890*T1^6*T2^12 + 1101*T1^7*T2^12 + 312*T1^8*T2^12 - 
      1054*T1^9*T2^12 + 2372*T1^10*T2^12 - 1054*T1^11*T2^12 + 
      312*T1^12*T2^12 + 1101*T1^13*T2^12 - 890*T1^14*T2^12 - 70*T1^15*T2^12 + 
      66*T1^16*T2^12 - 56*T1^5*T2^13 + 140*T1^6*T2^13 + 491*T1^7*T2^13 - 
      1266*T1^8*T2^13 + 1101*T1^9*T2^13 - 691*T1^10*T2^13 - 691*T1^11*T2^13 + 
      1101*T1^12*T2^13 - 1266*T1^13*T2^13 + 491*T1^14*T2^13 + 
      140*T1^15*T2^13 - 56*T1^16*T2^13 + 36*T1^6*T2^14 - 154*T1^7*T2^14 + 
      3*T1^8*T2^14 + 491*T1^9*T2^14 - 890*T1^10*T2^14 + 1193*T1^11*T2^14 - 
      890*T1^12*T2^14 + 491*T1^13*T2^14 + 3*T1^14*T2^14 - 154*T1^15*T2^14 + 
      36*T1^16*T2^14 - 14*T1^7*T2^15 + 84*T1^8*T2^15 - 154*T1^9*T2^15 + 
      140*T1^10*T2^15 - 70*T1^11*T2^15 - 70*T1^12*T2^15 + 140*T1^13*T2^15 - 
      154*T1^14*T2^15 + 84*T1^15*T2^15 - 14*T1^16*T2^15 + 2*T1^8*T2^16 - 
      14*T1^9*T2^16 + 36*T1^10*T2^16 - 56*T1^11*T2^16 + 66*T1^12*T2^16 - 
      56*T1^13*T2^16 + 36*T1^14*T2^16 - 14*T1^15*T2^16 + 2*T1^16*T2^16)/
     (T1^8*T2^8))}, 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), -((25 - 123*T1 + 252*T1^2 - 352*T1^3 + 383*T1^4 - 352*T1^5 + 
      252*T1^6 - 123*T1^7 + 25*T1^8 - 123*T2 + 486*T1*T2 - 651*T1^2*T2 + 
      516*T1^3*T2 - 165*T1^4*T2 - 165*T1^5*T2 + 516*T1^6*T2 - 651*T1^7*T2 + 
      486*T1^8*T2 - 123*T1^9*T2 + 252*T2^2 - 651*T1*T2^2 - 137*T1^2*T2^2 + 
      1314*T1^3*T2^2 - 2238*T1^4*T2^2 + 2367*T1^5*T2^2 - 2238*T1^6*T2^2 + 
      1314*T1^7*T2^2 - 137*T1^8*T2^2 - 651*T1^9*T2^2 + 252*T1^10*T2^2 - 
      352*T2^3 + 516*T1*T2^3 + 1314*T1^2*T2^3 - 2066*T1^3*T2^3 + 
      1710*T1^4*T2^3 - 356*T1^5*T2^3 - 356*T1^6*T2^3 + 1710*T1^7*T2^3 - 
      2066*T1^8*T2^3 + 1314*T1^9*T2^3 + 516*T1^10*T2^3 - 352*T1^11*T2^3 + 
      383*T2^4 - 165*T1*T2^4 - 2238*T1^2*T2^4 + 1710*T1^3*T2^4 - 
      983*T1^4*T2^4 + 175*T1^5*T2^4 - 893*T1^6*T2^4 + 175*T1^7*T2^4 - 
      983*T1^8*T2^4 + 1710*T1^9*T2^4 - 2238*T1^10*T2^4 - 165*T1^11*T2^4 + 
      383*T1^12*T2^4 - 352*T2^5 - 165*T1*T2^5 + 2367*T1^2*T2^5 - 
      356*T1^3*T2^5 + 175*T1^4*T2^5 + 106*T1^5*T2^5 + 792*T1^6*T2^5 + 
      792*T1^7*T2^5 + 106*T1^8*T2^5 + 175*T1^9*T2^5 - 356*T1^10*T2^5 + 
      2367*T1^11*T2^5 - 165*T1^12*T2^5 - 352*T1^13*T2^5 + 252*T2^6 + 
      516*T1*T2^6 - 2238*T1^2*T2^6 - 356*T1^3*T2^6 - 893*T1^4*T2^6 + 
      792*T1^5*T2^6 - 1460*T1^6*T2^6 - 344*T1^7*T2^6 - 1460*T1^8*T2^6 + 
      792*T1^9*T2^6 - 893*T1^10*T2^6 - 356*T1^11*T2^6 - 2238*T1^12*T2^6 + 
      516*T1^13*T2^6 + 252*T1^14*T2^6 - 123*T2^7 - 651*T1*T2^7 + 
      1314*T1^2*T2^7 + 1710*T1^3*T2^7 + 175*T1^4*T2^7 + 792*T1^5*T2^7 - 
      344*T1^6*T2^7 + 1416*T1^7*T2^7 + 1416*T1^8*T2^7 - 344*T1^9*T2^7 + 
      792*T1^10*T2^7 + 175*T1^11*T2^7 + 1710*T1^12*T2^7 + 1314*T1^13*T2^7 - 
      651*T1^14*T2^7 - 123*T1^15*T2^7 + 25*T2^8 + 486*T1*T2^8 - 
      137*T1^2*T2^8 - 2066*T1^3*T2^8 - 983*T1^4*T2^8 + 106*T1^5*T2^8 - 
      1460*T1^6*T2^8 + 1416*T1^7*T2^8 - 3888*T1^8*T2^8 + 1416*T1^9*T2^8 - 
      1460*T1^10*T2^8 + 106*T1^11*T2^8 - 983*T1^12*T2^8 - 2066*T1^13*T2^8 - 
      137*T1^14*T2^8 + 486*T1^15*T2^8 + 25*T1^16*T2^8 - 123*T1*T2^9 - 
      651*T1^2*T2^9 + 1314*T1^3*T2^9 + 1710*T1^4*T2^9 + 175*T1^5*T2^9 + 
      792*T1^6*T2^9 - 344*T1^7*T2^9 + 1416*T1^8*T2^9 + 1416*T1^9*T2^9 - 
      344*T1^10*T2^9 + 792*T1^11*T2^9 + 175*T1^12*T2^9 + 1710*T1^13*T2^9 + 
      1314*T1^14*T2^9 - 651*T1^15*T2^9 - 123*T1^16*T2^9 + 252*T1^2*T2^10 + 
      516*T1^3*T2^10 - 2238*T1^4*T2^10 - 356*T1^5*T2^10 - 893*T1^6*T2^10 + 
      792*T1^7*T2^10 - 1460*T1^8*T2^10 - 344*T1^9*T2^10 - 1460*T1^10*T2^10 + 
      792*T1^11*T2^10 - 893*T1^12*T2^10 - 356*T1^13*T2^10 - 
      2238*T1^14*T2^10 + 516*T1^15*T2^10 + 252*T1^16*T2^10 - 352*T1^3*T2^11 - 
      165*T1^4*T2^11 + 2367*T1^5*T2^11 - 356*T1^6*T2^11 + 175*T1^7*T2^11 + 
      106*T1^8*T2^11 + 792*T1^9*T2^11 + 792*T1^10*T2^11 + 106*T1^11*T2^11 + 
      175*T1^12*T2^11 - 356*T1^13*T2^11 + 2367*T1^14*T2^11 - 
      165*T1^15*T2^11 - 352*T1^16*T2^11 + 383*T1^4*T2^12 - 165*T1^5*T2^12 - 
      2238*T1^6*T2^12 + 1710*T1^7*T2^12 - 983*T1^8*T2^12 + 175*T1^9*T2^12 - 
      893*T1^10*T2^12 + 175*T1^11*T2^12 - 983*T1^12*T2^12 + 
      1710*T1^13*T2^12 - 2238*T1^14*T2^12 - 165*T1^15*T2^12 + 
      383*T1^16*T2^12 - 352*T1^5*T2^13 + 516*T1^6*T2^13 + 1314*T1^7*T2^13 - 
      2066*T1^8*T2^13 + 1710*T1^9*T2^13 - 356*T1^10*T2^13 - 356*T1^11*T2^13 + 
      1710*T1^12*T2^13 - 2066*T1^13*T2^13 + 1314*T1^14*T2^13 + 
      516*T1^15*T2^13 - 352*T1^16*T2^13 + 252*T1^6*T2^14 - 651*T1^7*T2^14 - 
      137*T1^8*T2^14 + 1314*T1^9*T2^14 - 2238*T1^10*T2^14 + 
      2367*T1^11*T2^14 - 2238*T1^12*T2^14 + 1314*T1^13*T2^14 - 
      137*T1^14*T2^14 - 651*T1^15*T2^14 + 252*T1^16*T2^14 - 123*T1^7*T2^15 + 
      486*T1^8*T2^15 - 651*T1^9*T2^15 + 516*T1^10*T2^15 - 165*T1^11*T2^15 - 
      165*T1^12*T2^15 + 516*T1^13*T2^15 - 651*T1^14*T2^15 + 486*T1^15*T2^15 - 
      123*T1^16*T2^15 + 25*T1^8*T2^16 - 123*T1^9*T2^16 + 252*T1^10*T2^16 - 
      352*T1^11*T2^16 + 383*T1^12*T2^16 - 352*T1^13*T2^16 + 252*T1^14*T2^16 - 
      123*T1^15*T2^16 + 25*T1^16*T2^16)/(T1^8*T2^8))}, 
 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), -((1 - 8*T1 + 29*T1^2 - 61*T1^3 + 77*T1^4 - 61*T1^5 + 29*T1^6 - 
      8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 168*T1^2*T2 + 256*T1^3*T2 - 
      128*T1^4*T2 - 128*T1^5*T2 + 256*T1^6*T2 - 168*T1^7*T2 + 56*T1^8*T2 - 
      8*T1^9*T2 + 29*T2^2 - 168*T1*T2^2 + 359*T1^2*T2^2 - 147*T1^3*T2^2 - 
      833*T1^4*T2^2 + 1397*T1^5*T2^2 - 833*T1^6*T2^2 - 147*T1^7*T2^2 + 
      359*T1^8*T2^2 - 168*T1^9*T2^2 + 29*T1^10*T2^2 - 61*T2^3 + 256*T1*T2^3 - 
      147*T1^2*T2^3 - 1226*T1^3*T2^3 + 3277*T1^4*T2^3 - 1801*T1^5*T2^3 - 
      1801*T1^6*T2^3 + 3277*T1^7*T2^3 - 1226*T1^8*T2^3 - 147*T1^9*T2^3 + 
      256*T1^10*T2^3 - 61*T1^11*T2^3 + 77*T2^4 - 128*T1*T2^4 - 
      833*T1^2*T2^4 + 3277*T1^3*T2^4 - 3326*T1^4*T2^4 - 5225*T1^5*T2^4 + 
      10310*T1^6*T2^4 - 5225*T1^7*T2^4 - 3326*T1^8*T2^4 + 3277*T1^9*T2^4 - 
      833*T1^10*T2^4 - 128*T1^11*T2^4 + 77*T1^12*T2^4 - 61*T2^5 - 
      128*T1*T2^5 + 1397*T1^2*T2^5 - 1801*T1^3*T2^5 - 5225*T1^4*T2^5 + 
      18890*T1^5*T2^5 - 10605*T1^6*T2^5 - 10605*T1^7*T2^5 + 18890*T1^8*T2^5 - 
      5225*T1^9*T2^5 - 1801*T1^10*T2^5 + 1397*T1^11*T2^5 - 128*T1^12*T2^5 - 
      61*T1^13*T2^5 + 29*T2^6 + 256*T1*T2^6 - 833*T1^2*T2^6 - 
      1801*T1^3*T2^6 + 10310*T1^4*T2^6 - 10605*T1^5*T2^6 - 24411*T1^6*T2^6 + 
      44945*T1^7*T2^6 - 24411*T1^8*T2^6 - 10605*T1^9*T2^6 + 
      10310*T1^10*T2^6 - 1801*T1^11*T2^6 - 833*T1^12*T2^6 + 256*T1^13*T2^6 + 
      29*T1^14*T2^6 - 8*T2^7 - 168*T1*T2^7 - 147*T1^2*T2^7 + 3277*T1^3*T2^7 - 
      5225*T1^4*T2^7 - 10605*T1^5*T2^7 + 44945*T1^6*T2^7 - 25492*T1^7*T2^7 - 
      25492*T1^8*T2^7 + 44945*T1^9*T2^7 - 10605*T1^10*T2^7 - 
      5225*T1^11*T2^7 + 3277*T1^12*T2^7 - 147*T1^13*T2^7 - 168*T1^14*T2^7 - 
      8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 359*T1^2*T2^8 - 1226*T1^3*T2^8 - 
      3326*T1^4*T2^8 + 18890*T1^5*T2^8 - 24411*T1^6*T2^8 - 25492*T1^7*T2^8 + 
      55488*T1^8*T2^8 - 25492*T1^9*T2^8 - 24411*T1^10*T2^8 + 
      18890*T1^11*T2^8 - 3326*T1^12*T2^8 - 1226*T1^13*T2^8 + 359*T1^14*T2^8 + 
      56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 168*T1^2*T2^9 - 
      147*T1^3*T2^9 + 3277*T1^4*T2^9 - 5225*T1^5*T2^9 - 10605*T1^6*T2^9 + 
      44945*T1^7*T2^9 - 25492*T1^8*T2^9 - 25492*T1^9*T2^9 + 
      44945*T1^10*T2^9 - 10605*T1^11*T2^9 - 5225*T1^12*T2^9 + 
      3277*T1^13*T2^9 - 147*T1^14*T2^9 - 168*T1^15*T2^9 - 8*T1^16*T2^9 + 
      29*T1^2*T2^10 + 256*T1^3*T2^10 - 833*T1^4*T2^10 - 1801*T1^5*T2^10 + 
      10310*T1^6*T2^10 - 10605*T1^7*T2^10 - 24411*T1^8*T2^10 + 
      44945*T1^9*T2^10 - 24411*T1^10*T2^10 - 10605*T1^11*T2^10 + 
      10310*T1^12*T2^10 - 1801*T1^13*T2^10 - 833*T1^14*T2^10 + 
      256*T1^15*T2^10 + 29*T1^16*T2^10 - 61*T1^3*T2^11 - 128*T1^4*T2^11 + 
      1397*T1^5*T2^11 - 1801*T1^6*T2^11 - 5225*T1^7*T2^11 + 
      18890*T1^8*T2^11 - 10605*T1^9*T2^11 - 10605*T1^10*T2^11 + 
      18890*T1^11*T2^11 - 5225*T1^12*T2^11 - 1801*T1^13*T2^11 + 
      1397*T1^14*T2^11 - 128*T1^15*T2^11 - 61*T1^16*T2^11 + 77*T1^4*T2^12 - 
      128*T1^5*T2^12 - 833*T1^6*T2^12 + 3277*T1^7*T2^12 - 3326*T1^8*T2^12 - 
      5225*T1^9*T2^12 + 10310*T1^10*T2^12 - 5225*T1^11*T2^12 - 
      3326*T1^12*T2^12 + 3277*T1^13*T2^12 - 833*T1^14*T2^12 - 
      128*T1^15*T2^12 + 77*T1^16*T2^12 - 61*T1^5*T2^13 + 256*T1^6*T2^13 - 
      147*T1^7*T2^13 - 1226*T1^8*T2^13 + 3277*T1^9*T2^13 - 1801*T1^10*T2^13 - 
      1801*T1^11*T2^13 + 3277*T1^12*T2^13 - 1226*T1^13*T2^13 - 
      147*T1^14*T2^13 + 256*T1^15*T2^13 - 61*T1^16*T2^13 + 29*T1^6*T2^14 - 
      168*T1^7*T2^14 + 359*T1^8*T2^14 - 147*T1^9*T2^14 - 833*T1^10*T2^14 + 
      1397*T1^11*T2^14 - 833*T1^12*T2^14 - 147*T1^13*T2^14 + 
      359*T1^14*T2^14 - 168*T1^15*T2^14 + 29*T1^16*T2^14 - 8*T1^7*T2^15 + 
      56*T1^8*T2^15 - 168*T1^9*T2^15 + 256*T1^10*T2^15 - 128*T1^11*T2^15 - 
      128*T1^12*T2^15 + 256*T1^13*T2^15 - 168*T1^14*T2^15 + 56*T1^15*T2^15 - 
      8*T1^16*T2^15 + T1^8*T2^16 - 8*T1^9*T2^16 + 29*T1^10*T2^16 - 
      61*T1^11*T2^16 + 77*T1^12*T2^16 - 61*T1^13*T2^16 + 29*T1^14*T2^16 - 
      8*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   -((1 - 4*T1 + 4*T1^2 + 3*T1^3 + 4*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 6*T1*T2 + 
      27*T1^2*T2 - 60*T1^3*T2 - 60*T1^4*T2 + 27*T1^5*T2 + 6*T1^6*T2 - 
      4*T1^7*T2 + 4*T2^2 + 27*T1*T2^2 - 127*T1^2*T2^2 + 13*T1^3*T2^2 + 
      523*T1^4*T2^2 + 13*T1^5*T2^2 - 127*T1^6*T2^2 + 27*T1^7*T2^2 + 
      4*T1^8*T2^2 + 3*T2^3 - 60*T1*T2^3 + 13*T1^2*T2^3 + 712*T1^3*T2^3 - 
      1291*T1^4*T2^3 - 1291*T1^5*T2^3 + 712*T1^6*T2^3 + 13*T1^7*T2^3 - 
      60*T1^8*T2^3 + 3*T1^9*T2^3 + 4*T2^4 - 60*T1*T2^4 + 523*T1^2*T2^4 - 
      1291*T1^3*T2^4 - 442*T1^4*T2^4 + 5446*T1^5*T2^4 - 442*T1^6*T2^4 - 
      1291*T1^7*T2^4 + 523*T1^8*T2^4 - 60*T1^9*T2^4 + 4*T1^10*T2^4 - 4*T2^5 + 
      27*T1*T2^5 + 13*T1^2*T2^5 - 1291*T1^3*T2^5 + 5446*T1^4*T2^5 - 
      6584*T1^5*T2^5 - 6584*T1^6*T2^5 + 5446*T1^7*T2^5 - 1291*T1^8*T2^5 + 
      13*T1^9*T2^5 + 27*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 6*T1*T2^6 - 
      127*T1^2*T2^6 + 712*T1^3*T2^6 - 442*T1^4*T2^6 - 6584*T1^5*T2^6 + 
      18504*T1^6*T2^6 - 6584*T1^7*T2^6 - 442*T1^8*T2^6 + 712*T1^9*T2^6 - 
      127*T1^10*T2^6 + 6*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 + 27*T1^2*T2^7 + 
      13*T1^3*T2^7 - 1291*T1^4*T2^7 + 5446*T1^5*T2^7 - 6584*T1^6*T2^7 - 
      6584*T1^7*T2^7 + 5446*T1^8*T2^7 - 1291*T1^9*T2^7 + 13*T1^10*T2^7 + 
      27*T1^11*T2^7 - 4*T1^12*T2^7 + 4*T1^2*T2^8 - 60*T1^3*T2^8 + 
      523*T1^4*T2^8 - 1291*T1^5*T2^8 - 442*T1^6*T2^8 + 5446*T1^7*T2^8 - 
      442*T1^8*T2^8 - 1291*T1^9*T2^8 + 523*T1^10*T2^8 - 60*T1^11*T2^8 + 
      4*T1^12*T2^8 + 3*T1^3*T2^9 - 60*T1^4*T2^9 + 13*T1^5*T2^9 + 
      712*T1^6*T2^9 - 1291*T1^7*T2^9 - 1291*T1^8*T2^9 + 712*T1^9*T2^9 + 
      13*T1^10*T2^9 - 60*T1^11*T2^9 + 3*T1^12*T2^9 + 4*T1^4*T2^10 + 
      27*T1^5*T2^10 - 127*T1^6*T2^10 + 13*T1^7*T2^10 + 523*T1^8*T2^10 + 
      13*T1^9*T2^10 - 127*T1^10*T2^10 + 27*T1^11*T2^10 + 4*T1^12*T2^10 - 
      4*T1^5*T2^11 + 6*T1^6*T2^11 + 27*T1^7*T2^11 - 60*T1^8*T2^11 - 
      60*T1^9*T2^11 + 27*T1^10*T2^11 + 6*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)/(T1^6*T2^6))}, 
 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, 
   (3 - 16*T1 + 37*T1^2 - 49*T1^3 + 37*T1^4 - 16*T1^5 + 3*T1^6 - 16*T2 + 
     68*T1*T2 - 111*T1^2*T2 + 63*T1^3*T2 + 63*T1^4*T2 - 111*T1^5*T2 + 
     68*T1^6*T2 - 16*T1^7*T2 + 37*T2^2 - 111*T1*T2^2 + 51*T1^2*T2^2 + 
     241*T1^3*T2^2 - 461*T1^4*T2^2 + 241*T1^5*T2^2 + 51*T1^6*T2^2 - 
     111*T1^7*T2^2 + 37*T1^8*T2^2 - 49*T2^3 + 63*T1*T2^3 + 241*T1^2*T2^3 - 
     680*T1^3*T2^3 + 443*T1^4*T2^3 + 443*T1^5*T2^3 - 680*T1^6*T2^3 + 
     241*T1^7*T2^3 + 63*T1^8*T2^3 - 49*T1^9*T2^3 + 37*T2^4 + 63*T1*T2^4 - 
     461*T1^2*T2^4 + 443*T1^3*T2^4 + 747*T1^4*T2^4 - 1669*T1^5*T2^4 + 
     747*T1^6*T2^4 + 443*T1^7*T2^4 - 461*T1^8*T2^4 + 63*T1^9*T2^4 + 
     37*T1^10*T2^4 - 16*T2^5 - 111*T1*T2^5 + 241*T1^2*T2^5 + 443*T1^3*T2^5 - 
     1669*T1^4*T2^5 + 1090*T1^5*T2^5 + 1090*T1^6*T2^5 - 1669*T1^7*T2^5 + 
     443*T1^8*T2^5 + 241*T1^9*T2^5 - 111*T1^10*T2^5 - 16*T1^11*T2^5 + 
     3*T2^6 + 68*T1*T2^6 + 51*T1^2*T2^6 - 680*T1^3*T2^6 + 747*T1^4*T2^6 + 
     1090*T1^5*T2^6 - 2484*T1^6*T2^6 + 1090*T1^7*T2^6 + 747*T1^8*T2^6 - 
     680*T1^9*T2^6 + 51*T1^10*T2^6 + 68*T1^11*T2^6 + 3*T1^12*T2^6 - 
     16*T1*T2^7 - 111*T1^2*T2^7 + 241*T1^3*T2^7 + 443*T1^4*T2^7 - 
     1669*T1^5*T2^7 + 1090*T1^6*T2^7 + 1090*T1^7*T2^7 - 1669*T1^8*T2^7 + 
     443*T1^9*T2^7 + 241*T1^10*T2^7 - 111*T1^11*T2^7 - 16*T1^12*T2^7 + 
     37*T1^2*T2^8 + 63*T1^3*T2^8 - 461*T1^4*T2^8 + 443*T1^5*T2^8 + 
     747*T1^6*T2^8 - 1669*T1^7*T2^8 + 747*T1^8*T2^8 + 443*T1^9*T2^8 - 
     461*T1^10*T2^8 + 63*T1^11*T2^8 + 37*T1^12*T2^8 - 49*T1^3*T2^9 + 
     63*T1^4*T2^9 + 241*T1^5*T2^9 - 680*T1^6*T2^9 + 443*T1^7*T2^9 + 
     443*T1^8*T2^9 - 680*T1^9*T2^9 + 241*T1^10*T2^9 + 63*T1^11*T2^9 - 
     49*T1^12*T2^9 + 37*T1^4*T2^10 - 111*T1^5*T2^10 + 51*T1^6*T2^10 + 
     241*T1^7*T2^10 - 461*T1^8*T2^10 + 241*T1^9*T2^10 + 51*T1^10*T2^10 - 
     111*T1^11*T2^10 + 37*T1^12*T2^10 - 16*T1^5*T2^11 + 68*T1^6*T2^11 - 
     111*T1^7*T2^11 + 63*T1^8*T2^11 + 63*T1^9*T2^11 - 111*T1^10*T2^11 + 
     68*T1^11*T2^11 - 16*T1^12*T2^11 + 3*T1^6*T2^12 - 16*T1^7*T2^12 + 
     37*T1^8*T2^12 - 49*T1^9*T2^12 + 37*T1^10*T2^12 - 16*T1^11*T2^12 + 
     3*T1^12*T2^12)/(T1^6*T2^6)}, 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), (1 - 8*T1 + 28*T1^2 - 55*T1^3 + 67*T1^4 - 55*T1^5 + 28*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 160*T1^2*T2 + 216*T1^3*T2 - 
     96*T1^4*T2 - 96*T1^5*T2 + 216*T1^6*T2 - 160*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 28*T2^2 - 160*T1*T2^2 + 298*T1^2*T2^2 + 37*T1^3*T2^2 - 
     879*T1^4*T2^2 + 1236*T1^5*T2^2 - 879*T1^6*T2^2 + 37*T1^7*T2^2 + 
     298*T1^8*T2^2 - 160*T1^9*T2^2 + 28*T1^10*T2^2 - 55*T2^3 + 216*T1*T2^3 + 
     37*T1^2*T2^3 - 1534*T1^3*T2^3 + 2827*T1^4*T2^3 - 1239*T1^5*T2^3 - 
     1239*T1^6*T2^3 + 2827*T1^7*T2^3 - 1534*T1^8*T2^3 + 37*T1^9*T2^3 + 
     216*T1^10*T2^3 - 55*T1^11*T2^3 + 67*T2^4 - 96*T1*T2^4 - 879*T1^2*T2^4 + 
     2827*T1^3*T2^4 - 1221*T1^4*T2^4 - 5426*T1^5*T2^4 + 7983*T1^6*T2^4 - 
     5426*T1^7*T2^4 - 1221*T1^8*T2^4 + 2827*T1^9*T2^4 - 879*T1^10*T2^4 - 
     96*T1^11*T2^4 + 67*T1^12*T2^4 - 55*T2^5 - 96*T1*T2^5 + 1236*T1^2*T2^5 - 
     1239*T1^3*T2^5 - 5426*T1^4*T2^5 + 12610*T1^5*T2^5 - 5478*T1^6*T2^5 - 
     5478*T1^7*T2^5 + 12610*T1^8*T2^5 - 5426*T1^9*T2^5 - 1239*T1^10*T2^5 + 
     1236*T1^11*T2^5 - 96*T1^12*T2^5 - 55*T1^13*T2^5 + 28*T2^6 + 
     216*T1*T2^6 - 879*T1^2*T2^6 - 1239*T1^3*T2^6 + 7983*T1^4*T2^6 - 
     5478*T1^5*T2^6 - 13698*T1^6*T2^6 + 21152*T1^7*T2^6 - 13698*T1^8*T2^6 - 
     5478*T1^9*T2^6 + 7983*T1^10*T2^6 - 1239*T1^11*T2^6 - 879*T1^12*T2^6 + 
     216*T1^13*T2^6 + 28*T1^14*T2^6 - 8*T2^7 - 160*T1*T2^7 + 37*T1^2*T2^7 + 
     2827*T1^3*T2^7 - 5426*T1^4*T2^7 - 5478*T1^5*T2^7 + 21152*T1^6*T2^7 - 
     9736*T1^7*T2^7 - 9736*T1^8*T2^7 + 21152*T1^9*T2^7 - 5478*T1^10*T2^7 - 
     5426*T1^11*T2^7 + 2827*T1^12*T2^7 + 37*T1^13*T2^7 - 160*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 298*T1^2*T2^8 - 1534*T1^3*T2^8 - 
     1221*T1^4*T2^8 + 12610*T1^5*T2^8 - 13698*T1^6*T2^8 - 9736*T1^7*T2^8 + 
     19512*T1^8*T2^8 - 9736*T1^9*T2^8 - 13698*T1^10*T2^8 + 12610*T1^11*T2^8 - 
     1221*T1^12*T2^8 - 1534*T1^13*T2^8 + 298*T1^14*T2^8 + 56*T1^15*T2^8 + 
     T1^16*T2^8 - 8*T1*T2^9 - 160*T1^2*T2^9 + 37*T1^3*T2^9 + 2827*T1^4*T2^9 - 
     5426*T1^5*T2^9 - 5478*T1^6*T2^9 + 21152*T1^7*T2^9 - 9736*T1^8*T2^9 - 
     9736*T1^9*T2^9 + 21152*T1^10*T2^9 - 5478*T1^11*T2^9 - 5426*T1^12*T2^9 + 
     2827*T1^13*T2^9 + 37*T1^14*T2^9 - 160*T1^15*T2^9 - 8*T1^16*T2^9 + 
     28*T1^2*T2^10 + 216*T1^3*T2^10 - 879*T1^4*T2^10 - 1239*T1^5*T2^10 + 
     7983*T1^6*T2^10 - 5478*T1^7*T2^10 - 13698*T1^8*T2^10 + 
     21152*T1^9*T2^10 - 13698*T1^10*T2^10 - 5478*T1^11*T2^10 + 
     7983*T1^12*T2^10 - 1239*T1^13*T2^10 - 879*T1^14*T2^10 + 
     216*T1^15*T2^10 + 28*T1^16*T2^10 - 55*T1^3*T2^11 - 96*T1^4*T2^11 + 
     1236*T1^5*T2^11 - 1239*T1^6*T2^11 - 5426*T1^7*T2^11 + 12610*T1^8*T2^11 - 
     5478*T1^9*T2^11 - 5478*T1^10*T2^11 + 12610*T1^11*T2^11 - 
     5426*T1^12*T2^11 - 1239*T1^13*T2^11 + 1236*T1^14*T2^11 - 
     96*T1^15*T2^11 - 55*T1^16*T2^11 + 67*T1^4*T2^12 - 96*T1^5*T2^12 - 
     879*T1^6*T2^12 + 2827*T1^7*T2^12 - 1221*T1^8*T2^12 - 5426*T1^9*T2^12 + 
     7983*T1^10*T2^12 - 5426*T1^11*T2^12 - 1221*T1^12*T2^12 + 
     2827*T1^13*T2^12 - 879*T1^14*T2^12 - 96*T1^15*T2^12 + 67*T1^16*T2^12 - 
     55*T1^5*T2^13 + 216*T1^6*T2^13 + 37*T1^7*T2^13 - 1534*T1^8*T2^13 + 
     2827*T1^9*T2^13 - 1239*T1^10*T2^13 - 1239*T1^11*T2^13 + 
     2827*T1^12*T2^13 - 1534*T1^13*T2^13 + 37*T1^14*T2^13 + 216*T1^15*T2^13 - 
     55*T1^16*T2^13 + 28*T1^6*T2^14 - 160*T1^7*T2^14 + 298*T1^8*T2^14 + 
     37*T1^9*T2^14 - 879*T1^10*T2^14 + 1236*T1^11*T2^14 - 879*T1^12*T2^14 + 
     37*T1^13*T2^14 + 298*T1^14*T2^14 - 160*T1^15*T2^14 + 28*T1^16*T2^14 - 
     8*T1^7*T2^15 + 56*T1^8*T2^15 - 160*T1^9*T2^15 + 216*T1^10*T2^15 - 
     96*T1^11*T2^15 - 96*T1^12*T2^15 + 216*T1^13*T2^15 - 160*T1^14*T2^15 + 
     56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 8*T1^9*T2^16 + 
     28*T1^10*T2^16 - 55*T1^11*T2^16 + 67*T1^12*T2^16 - 55*T1^13*T2^16 + 
     28*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 
   -((2 - 10*T1 + 22*T1^2 - 24*T1^3 + 22*T1^4 - 10*T1^5 + 2*T1^6 - 10*T2 + 
      38*T1*T2 - 55*T1^2*T2 + 2*T1^3*T2 + 2*T1^4*T2 - 55*T1^5*T2 + 
      38*T1^6*T2 - 10*T1^7*T2 + 22*T2^2 - 55*T1*T2^2 + 7*T1^2*T2^2 + 
      191*T1^3*T2^2 - 43*T1^4*T2^2 + 191*T1^5*T2^2 + 7*T1^6*T2^2 - 
      55*T1^7*T2^2 + 22*T1^8*T2^2 - 24*T2^3 + 2*T1*T2^3 + 191*T1^2*T2^3 - 
      418*T1^3*T2^3 - 250*T1^4*T2^3 - 250*T1^5*T2^3 - 418*T1^6*T2^3 + 
      191*T1^7*T2^3 + 2*T1^8*T2^3 - 24*T1^9*T2^3 + 22*T2^4 + 2*T1*T2^4 - 
      43*T1^2*T2^4 - 250*T1^3*T2^4 + 1312*T1^4*T2^4 + 244*T1^5*T2^4 + 
      1312*T1^6*T2^4 - 250*T1^7*T2^4 - 43*T1^8*T2^4 + 2*T1^9*T2^4 + 
      22*T1^10*T2^4 - 10*T2^5 - 55*T1*T2^5 + 191*T1^2*T2^5 - 250*T1^3*T2^5 + 
      244*T1^4*T2^5 - 2032*T1^5*T2^5 - 2032*T1^6*T2^5 + 244*T1^7*T2^5 - 
      250*T1^8*T2^5 + 191*T1^9*T2^5 - 55*T1^10*T2^5 - 10*T1^11*T2^5 + 
      2*T2^6 + 38*T1*T2^6 + 7*T1^2*T2^6 - 418*T1^3*T2^6 + 1312*T1^4*T2^6 - 
      2032*T1^5*T2^6 + 6684*T1^6*T2^6 - 2032*T1^7*T2^6 + 1312*T1^8*T2^6 - 
      418*T1^9*T2^6 + 7*T1^10*T2^6 + 38*T1^11*T2^6 + 2*T1^12*T2^6 - 
      10*T1*T2^7 - 55*T1^2*T2^7 + 191*T1^3*T2^7 - 250*T1^4*T2^7 + 
      244*T1^5*T2^7 - 2032*T1^6*T2^7 - 2032*T1^7*T2^7 + 244*T1^8*T2^7 - 
      250*T1^9*T2^7 + 191*T1^10*T2^7 - 55*T1^11*T2^7 - 10*T1^12*T2^7 + 
      22*T1^2*T2^8 + 2*T1^3*T2^8 - 43*T1^4*T2^8 - 250*T1^5*T2^8 + 
      1312*T1^6*T2^8 + 244*T1^7*T2^8 + 1312*T1^8*T2^8 - 250*T1^9*T2^8 - 
      43*T1^10*T2^8 + 2*T1^11*T2^8 + 22*T1^12*T2^8 - 24*T1^3*T2^9 + 
      2*T1^4*T2^9 + 191*T1^5*T2^9 - 418*T1^6*T2^9 - 250*T1^7*T2^9 - 
      250*T1^8*T2^9 - 418*T1^9*T2^9 + 191*T1^10*T2^9 + 2*T1^11*T2^9 - 
      24*T1^12*T2^9 + 22*T1^4*T2^10 - 55*T1^5*T2^10 + 7*T1^6*T2^10 + 
      191*T1^7*T2^10 - 43*T1^8*T2^10 + 191*T1^9*T2^10 + 7*T1^10*T2^10 - 
      55*T1^11*T2^10 + 22*T1^12*T2^10 - 10*T1^5*T2^11 + 38*T1^6*T2^11 - 
      55*T1^7*T2^11 + 2*T1^8*T2^11 + 2*T1^9*T2^11 - 55*T1^10*T2^11 + 
      38*T1^11*T2^11 - 10*T1^12*T2^11 + 2*T1^6*T2^12 - 10*T1^7*T2^12 + 
      22*T1^8*T2^12 - 24*T1^9*T2^12 + 22*T1^10*T2^12 - 10*T1^11*T2^12 + 
      2*T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   (3 - 4*T1 - 4*T1^2 + 17*T1^3 - 4*T1^4 - 4*T1^5 + 3*T1^6 - 4*T2 - 
     44*T1*T2 + 129*T1^2*T2 - 117*T1^3*T2 - 117*T1^4*T2 + 129*T1^5*T2 - 
     44*T1^6*T2 - 4*T1^7*T2 - 4*T2^2 + 129*T1*T2^2 - 24*T1^2*T2^2 - 
     706*T1^3*T2^2 + 1578*T1^4*T2^2 - 706*T1^5*T2^2 - 24*T1^6*T2^2 + 
     129*T1^7*T2^2 - 4*T1^8*T2^2 + 17*T2^3 - 117*T1*T2^3 - 706*T1^2*T2^3 + 
     2268*T1^3*T2^3 - 2059*T1^4*T2^3 - 2059*T1^5*T2^3 + 2268*T1^6*T2^3 - 
     706*T1^7*T2^3 - 117*T1^8*T2^3 + 17*T1^9*T2^3 - 4*T2^4 - 117*T1*T2^4 + 
     1578*T1^2*T2^4 - 2059*T1^3*T2^4 - 1966*T1^4*T2^4 + 7812*T1^5*T2^4 - 
     1966*T1^6*T2^4 - 2059*T1^7*T2^4 + 1578*T1^8*T2^4 - 117*T1^9*T2^4 - 
     4*T1^10*T2^4 - 4*T2^5 + 129*T1*T2^5 - 706*T1^2*T2^5 - 2059*T1^3*T2^5 + 
     7812*T1^4*T2^5 - 7322*T1^5*T2^5 - 7322*T1^6*T2^5 + 7812*T1^7*T2^5 - 
     2059*T1^8*T2^5 - 706*T1^9*T2^5 + 129*T1^10*T2^5 - 4*T1^11*T2^5 + 
     3*T2^6 - 44*T1*T2^6 - 24*T1^2*T2^6 + 2268*T1^3*T2^6 - 1966*T1^4*T2^6 - 
     7322*T1^5*T2^6 + 19200*T1^6*T2^6 - 7322*T1^7*T2^6 - 1966*T1^8*T2^6 + 
     2268*T1^9*T2^6 - 24*T1^10*T2^6 - 44*T1^11*T2^6 + 3*T1^12*T2^6 - 
     4*T1*T2^7 + 129*T1^2*T2^7 - 706*T1^3*T2^7 - 2059*T1^4*T2^7 + 
     7812*T1^5*T2^7 - 7322*T1^6*T2^7 - 7322*T1^7*T2^7 + 7812*T1^8*T2^7 - 
     2059*T1^9*T2^7 - 706*T1^10*T2^7 + 129*T1^11*T2^7 - 4*T1^12*T2^7 - 
     4*T1^2*T2^8 - 117*T1^3*T2^8 + 1578*T1^4*T2^8 - 2059*T1^5*T2^8 - 
     1966*T1^6*T2^8 + 7812*T1^7*T2^8 - 1966*T1^8*T2^8 - 2059*T1^9*T2^8 + 
     1578*T1^10*T2^8 - 117*T1^11*T2^8 - 4*T1^12*T2^8 + 17*T1^3*T2^9 - 
     117*T1^4*T2^9 - 706*T1^5*T2^9 + 2268*T1^6*T2^9 - 2059*T1^7*T2^9 - 
     2059*T1^8*T2^9 + 2268*T1^9*T2^9 - 706*T1^10*T2^9 - 117*T1^11*T2^9 + 
     17*T1^12*T2^9 - 4*T1^4*T2^10 + 129*T1^5*T2^10 - 24*T1^6*T2^10 - 
     706*T1^7*T2^10 + 1578*T1^8*T2^10 - 706*T1^9*T2^10 - 24*T1^10*T2^10 + 
     129*T1^11*T2^10 - 4*T1^12*T2^10 - 4*T1^5*T2^11 - 44*T1^6*T2^11 + 
     129*T1^7*T2^11 - 117*T1^8*T2^11 - 117*T1^9*T2^11 + 129*T1^10*T2^11 - 
     44*T1^11*T2^11 - 4*T1^12*T2^11 + 3*T1^6*T2^12 - 4*T1^7*T2^12 - 
     4*T1^8*T2^12 + 17*T1^9*T2^12 - 4*T1^10*T2^12 - 4*T1^11*T2^12 + 
     3*T1^12*T2^12)/(T1^6*T2^6)}, 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)*
      (17 - 66*T1 + 137*T1^2 - 167*T1^3 + 137*T1^4 - 66*T1^5 + 17*T1^6 - 
       66*T2 + 192*T1*T2 - 280*T1^2*T2 + 120*T1^3*T2 + 120*T1^4*T2 - 
       280*T1^5*T2 + 192*T1^6*T2 - 66*T1^7*T2 + 137*T2^2 - 280*T1*T2^2 + 
       240*T1^2*T2^2 + 243*T1^3*T2^2 - 416*T1^4*T2^2 + 243*T1^5*T2^2 + 
       240*T1^6*T2^2 - 280*T1^7*T2^2 + 137*T1^8*T2^2 - 167*T2^3 + 
       120*T1*T2^3 + 243*T1^2*T2^3 - 904*T1^3*T2^3 + 379*T1^4*T2^3 + 
       379*T1^5*T2^3 - 904*T1^6*T2^3 + 243*T1^7*T2^3 + 120*T1^8*T2^3 - 
       167*T1^9*T2^3 + 137*T2^4 + 120*T1*T2^4 - 416*T1^2*T2^4 + 
       379*T1^3*T2^4 + 1318*T1^4*T2^4 - 1898*T1^5*T2^4 + 1318*T1^6*T2^4 + 
       379*T1^7*T2^4 - 416*T1^8*T2^4 + 120*T1^9*T2^4 + 137*T1^10*T2^4 - 
       66*T2^5 - 280*T1*T2^5 + 243*T1^2*T2^5 + 379*T1^3*T2^5 - 
       1898*T1^4*T2^5 + 810*T1^5*T2^5 + 810*T1^6*T2^5 - 1898*T1^7*T2^5 + 
       379*T1^8*T2^5 + 243*T1^9*T2^5 - 280*T1^10*T2^5 - 66*T1^11*T2^5 + 
       17*T2^6 + 192*T1*T2^6 + 240*T1^2*T2^6 - 904*T1^3*T2^6 + 
       1318*T1^4*T2^6 + 810*T1^5*T2^6 - 1548*T1^6*T2^6 + 810*T1^7*T2^6 + 
       1318*T1^8*T2^6 - 904*T1^9*T2^6 + 240*T1^10*T2^6 + 192*T1^11*T2^6 + 
       17*T1^12*T2^6 - 66*T1*T2^7 - 280*T1^2*T2^7 + 243*T1^3*T2^7 + 
       379*T1^4*T2^7 - 1898*T1^5*T2^7 + 810*T1^6*T2^7 + 810*T1^7*T2^7 - 
       1898*T1^8*T2^7 + 379*T1^9*T2^7 + 243*T1^10*T2^7 - 280*T1^11*T2^7 - 
       66*T1^12*T2^7 + 137*T1^2*T2^8 + 120*T1^3*T2^8 - 416*T1^4*T2^8 + 
       379*T1^5*T2^8 + 1318*T1^6*T2^8 - 1898*T1^7*T2^8 + 1318*T1^8*T2^8 + 
       379*T1^9*T2^8 - 416*T1^10*T2^8 + 120*T1^11*T2^8 + 137*T1^12*T2^8 - 
       167*T1^3*T2^9 + 120*T1^4*T2^9 + 243*T1^5*T2^9 - 904*T1^6*T2^9 + 
       379*T1^7*T2^9 + 379*T1^8*T2^9 - 904*T1^9*T2^9 + 243*T1^10*T2^9 + 
       120*T1^11*T2^9 - 167*T1^12*T2^9 + 137*T1^4*T2^10 - 280*T1^5*T2^10 + 
       240*T1^6*T2^10 + 243*T1^7*T2^10 - 416*T1^8*T2^10 + 243*T1^9*T2^10 + 
       240*T1^10*T2^10 - 280*T1^11*T2^10 + 137*T1^12*T2^10 - 66*T1^5*T2^11 + 
       192*T1^6*T2^11 - 280*T1^7*T2^11 + 120*T1^8*T2^11 + 120*T1^9*T2^11 - 
       280*T1^10*T2^11 + 192*T1^11*T2^11 - 66*T1^12*T2^11 + 17*T1^6*T2^12 - 
       66*T1^7*T2^12 + 137*T1^8*T2^12 - 167*T1^9*T2^12 + 137*T1^10*T2^12 - 
       66*T1^11*T2^12 + 17*T1^12*T2^12))/(T1^8*T2^8))}, 
 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 + 84*T1*T2 - 182*T1^2*T2 + 196*T1^3*T2 - 98*T1^4*T2 - 
      98*T1^5*T2 + 196*T1^6*T2 - 182*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 
      40*T2^2 - 182*T1*T2^2 + 157*T1^2*T2^2 + 309*T1^3*T2^2 - 874*T1^4*T2^2 + 
      1271*T1^5*T2^2 - 874*T1^6*T2^2 + 309*T1^7*T2^2 + 157*T1^8*T2^2 - 
      182*T1^9*T2^2 + 40*T1^10*T2^2 - 68*T2^3 + 196*T1*T2^3 + 309*T1^2*T2^3 - 
      1378*T1^3*T2^3 + 1613*T1^4*T2^3 - 981*T1^5*T2^3 - 981*T1^6*T2^3 + 
      1613*T1^7*T2^3 - 1378*T1^8*T2^3 + 309*T1^9*T2^3 + 196*T1^10*T2^3 - 
      68*T1^11*T2^3 + 82*T2^4 - 98*T1*T2^4 - 874*T1^2*T2^4 + 1613*T1^3*T2^4 - 
      83*T1^4*T2^4 - 1804*T1^5*T2^4 + 3857*T1^6*T2^4 - 1804*T1^7*T2^4 - 
      83*T1^8*T2^4 + 1613*T1^9*T2^4 - 874*T1^10*T2^4 - 98*T1^11*T2^4 + 
      82*T1^12*T2^4 - 68*T2^5 - 98*T1*T2^5 + 1271*T1^2*T2^5 - 981*T1^3*T2^5 - 
      1804*T1^4*T2^5 + 2638*T1^5*T2^5 - 2382*T1^6*T2^5 - 2382*T1^7*T2^5 + 
      2638*T1^8*T2^5 - 1804*T1^9*T2^5 - 981*T1^10*T2^5 + 1271*T1^11*T2^5 - 
      98*T1^12*T2^5 - 68*T1^13*T2^5 + 40*T2^6 + 196*T1*T2^6 - 874*T1^2*T2^6 - 
      981*T1^3*T2^6 + 3857*T1^4*T2^6 - 2382*T1^5*T2^6 + 529*T1^6*T2^6 + 
      3481*T1^7*T2^6 + 529*T1^8*T2^6 - 2382*T1^9*T2^6 + 3857*T1^10*T2^6 - 
      981*T1^11*T2^6 - 874*T1^12*T2^6 + 196*T1^13*T2^6 + 40*T1^14*T2^6 - 
      14*T2^7 - 182*T1*T2^7 + 309*T1^2*T2^7 + 1613*T1^3*T2^7 - 
      1804*T1^4*T2^7 - 2382*T1^5*T2^7 + 3481*T1^6*T2^7 - 3674*T1^7*T2^7 - 
      3674*T1^8*T2^7 + 3481*T1^9*T2^7 - 2382*T1^10*T2^7 - 1804*T1^11*T2^7 + 
      1613*T1^12*T2^7 + 309*T1^13*T2^7 - 182*T1^14*T2^7 - 14*T1^15*T2^7 + 
      2*T2^8 + 84*T1*T2^8 + 157*T1^2*T2^8 - 1378*T1^3*T2^8 - 83*T1^4*T2^8 + 
      2638*T1^5*T2^8 + 529*T1^6*T2^8 - 3674*T1^7*T2^8 + 9144*T1^8*T2^8 - 
      3674*T1^9*T2^8 + 529*T1^10*T2^8 + 2638*T1^11*T2^8 - 83*T1^12*T2^8 - 
      1378*T1^13*T2^8 + 157*T1^14*T2^8 + 84*T1^15*T2^8 + 2*T1^16*T2^8 - 
      14*T1*T2^9 - 182*T1^2*T2^9 + 309*T1^3*T2^9 + 1613*T1^4*T2^9 - 
      1804*T1^5*T2^9 - 2382*T1^6*T2^9 + 3481*T1^7*T2^9 - 3674*T1^8*T2^9 - 
      3674*T1^9*T2^9 + 3481*T1^10*T2^9 - 2382*T1^11*T2^9 - 1804*T1^12*T2^9 + 
      1613*T1^13*T2^9 + 309*T1^14*T2^9 - 182*T1^15*T2^9 - 14*T1^16*T2^9 + 
      40*T1^2*T2^10 + 196*T1^3*T2^10 - 874*T1^4*T2^10 - 981*T1^5*T2^10 + 
      3857*T1^6*T2^10 - 2382*T1^7*T2^10 + 529*T1^8*T2^10 + 3481*T1^9*T2^10 + 
      529*T1^10*T2^10 - 2382*T1^11*T2^10 + 3857*T1^12*T2^10 - 
      981*T1^13*T2^10 - 874*T1^14*T2^10 + 196*T1^15*T2^10 + 40*T1^16*T2^10 - 
      68*T1^3*T2^11 - 98*T1^4*T2^11 + 1271*T1^5*T2^11 - 981*T1^6*T2^11 - 
      1804*T1^7*T2^11 + 2638*T1^8*T2^11 - 2382*T1^9*T2^11 - 
      2382*T1^10*T2^11 + 2638*T1^11*T2^11 - 1804*T1^12*T2^11 - 
      981*T1^13*T2^11 + 1271*T1^14*T2^11 - 98*T1^15*T2^11 - 68*T1^16*T2^11 + 
      82*T1^4*T2^12 - 98*T1^5*T2^12 - 874*T1^6*T2^12 + 1613*T1^7*T2^12 - 
      83*T1^8*T2^12 - 1804*T1^9*T2^12 + 3857*T1^10*T2^12 - 1804*T1^11*T2^12 - 
      83*T1^12*T2^12 + 1613*T1^13*T2^12 - 874*T1^14*T2^12 - 98*T1^15*T2^12 + 
      82*T1^16*T2^12 - 68*T1^5*T2^13 + 196*T1^6*T2^13 + 309*T1^7*T2^13 - 
      1378*T1^8*T2^13 + 1613*T1^9*T2^13 - 981*T1^10*T2^13 - 981*T1^11*T2^13 + 
      1613*T1^12*T2^13 - 1378*T1^13*T2^13 + 309*T1^14*T2^13 + 
      196*T1^15*T2^13 - 68*T1^16*T2^13 + 40*T1^6*T2^14 - 182*T1^7*T2^14 + 
      157*T1^8*T2^14 + 309*T1^9*T2^14 - 874*T1^10*T2^14 + 1271*T1^11*T2^14 - 
      874*T1^12*T2^14 + 309*T1^13*T2^14 + 157*T1^14*T2^14 - 182*T1^15*T2^14 + 
      40*T1^16*T2^14 - 14*T1^7*T2^15 + 84*T1^8*T2^15 - 182*T1^9*T2^15 + 
      196*T1^10*T2^15 - 98*T1^11*T2^15 - 98*T1^12*T2^15 + 196*T1^13*T2^15 - 
      182*T1^14*T2^15 + 84*T1^15*T2^15 - 14*T1^16*T2^15 + 2*T1^8*T2^16 - 
      14*T1^9*T2^16 + 40*T1^10*T2^16 - 68*T1^11*T2^16 + 82*T1^12*T2^16 - 
      68*T1^13*T2^16 + 40*T1^14*T2^16 - 14*T1^15*T2^16 + 2*T1^16*T2^16)/
     (T1^8*T2^8))}, 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), 
   (1 - 9*T1 + 32*T1^2 - 64*T1^3 + 79*T1^4 - 64*T1^5 + 32*T1^6 - 9*T1^7 + 
     T1^8 - 9*T2 + 72*T1*T2 - 207*T1^2*T2 + 288*T1^3*T2 - 135*T1^4*T2 - 
     135*T1^5*T2 + 288*T1^6*T2 - 207*T1^7*T2 + 72*T1^8*T2 - 9*T1^9*T2 + 
     32*T2^2 - 207*T1*T2^2 + 335*T1^2*T2^2 + 218*T1^3*T2^2 - 1548*T1^4*T2^2 + 
     2197*T1^5*T2^2 - 1548*T1^6*T2^2 + 218*T1^7*T2^2 + 335*T1^8*T2^2 - 
     207*T1^9*T2^2 + 32*T1^10*T2^2 - 64*T2^3 + 288*T1*T2^3 + 218*T1^2*T2^3 - 
     2450*T1^3*T2^3 + 4526*T1^4*T2^3 - 2176*T1^5*T2^3 - 2176*T1^6*T2^3 + 
     4526*T1^7*T2^3 - 2450*T1^8*T2^3 + 218*T1^9*T2^3 + 288*T1^10*T2^3 - 
     64*T1^11*T2^3 + 79*T2^4 - 135*T1*T2^4 - 1548*T1^2*T2^4 + 
     4526*T1^3*T2^4 - 2917*T1^4*T2^4 - 6909*T1^5*T2^4 + 11573*T1^6*T2^4 - 
     6909*T1^7*T2^4 - 2917*T1^8*T2^4 + 4526*T1^9*T2^4 - 1548*T1^10*T2^4 - 
     135*T1^11*T2^4 + 79*T1^12*T2^4 - 64*T2^5 - 135*T1*T2^5 + 
     2197*T1^2*T2^5 - 2176*T1^3*T2^5 - 6909*T1^4*T2^5 + 18846*T1^5*T2^5 - 
     9098*T1^6*T2^5 - 9098*T1^7*T2^5 + 18846*T1^8*T2^5 - 6909*T1^9*T2^5 - 
     2176*T1^10*T2^5 + 2197*T1^11*T2^5 - 135*T1^12*T2^5 - 64*T1^13*T2^5 + 
     32*T2^6 + 288*T1*T2^6 - 1548*T1^2*T2^6 - 2176*T1^3*T2^6 + 
     11573*T1^4*T2^6 - 9098*T1^5*T2^6 - 21498*T1^6*T2^6 + 35234*T1^7*T2^6 - 
     21498*T1^8*T2^6 - 9098*T1^9*T2^6 + 11573*T1^10*T2^6 - 2176*T1^11*T2^6 - 
     1548*T1^12*T2^6 + 288*T1^13*T2^6 + 32*T1^14*T2^6 - 9*T2^7 - 
     207*T1*T2^7 + 218*T1^2*T2^7 + 4526*T1^3*T2^7 - 6909*T1^4*T2^7 - 
     9098*T1^5*T2^7 + 35234*T1^6*T2^7 - 16970*T1^7*T2^7 - 16970*T1^8*T2^7 + 
     35234*T1^9*T2^7 - 9098*T1^10*T2^7 - 6909*T1^11*T2^7 + 4526*T1^12*T2^7 + 
     218*T1^13*T2^7 - 207*T1^14*T2^7 - 9*T1^15*T2^7 + T2^8 + 72*T1*T2^8 + 
     335*T1^2*T2^8 - 2450*T1^3*T2^8 - 2917*T1^4*T2^8 + 18846*T1^5*T2^8 - 
     21498*T1^6*T2^8 - 16970*T1^7*T2^8 + 33972*T1^8*T2^8 - 16970*T1^9*T2^8 - 
     21498*T1^10*T2^8 + 18846*T1^11*T2^8 - 2917*T1^12*T2^8 - 
     2450*T1^13*T2^8 + 335*T1^14*T2^8 + 72*T1^15*T2^8 + T1^16*T2^8 - 
     9*T1*T2^9 - 207*T1^2*T2^9 + 218*T1^3*T2^9 + 4526*T1^4*T2^9 - 
     6909*T1^5*T2^9 - 9098*T1^6*T2^9 + 35234*T1^7*T2^9 - 16970*T1^8*T2^9 - 
     16970*T1^9*T2^9 + 35234*T1^10*T2^9 - 9098*T1^11*T2^9 - 6909*T1^12*T2^9 + 
     4526*T1^13*T2^9 + 218*T1^14*T2^9 - 207*T1^15*T2^9 - 9*T1^16*T2^9 + 
     32*T1^2*T2^10 + 288*T1^3*T2^10 - 1548*T1^4*T2^10 - 2176*T1^5*T2^10 + 
     11573*T1^6*T2^10 - 9098*T1^7*T2^10 - 21498*T1^8*T2^10 + 
     35234*T1^9*T2^10 - 21498*T1^10*T2^10 - 9098*T1^11*T2^10 + 
     11573*T1^12*T2^10 - 2176*T1^13*T2^10 - 1548*T1^14*T2^10 + 
     288*T1^15*T2^10 + 32*T1^16*T2^10 - 64*T1^3*T2^11 - 135*T1^4*T2^11 + 
     2197*T1^5*T2^11 - 2176*T1^6*T2^11 - 6909*T1^7*T2^11 + 18846*T1^8*T2^11 - 
     9098*T1^9*T2^11 - 9098*T1^10*T2^11 + 18846*T1^11*T2^11 - 
     6909*T1^12*T2^11 - 2176*T1^13*T2^11 + 2197*T1^14*T2^11 - 
     135*T1^15*T2^11 - 64*T1^16*T2^11 + 79*T1^4*T2^12 - 135*T1^5*T2^12 - 
     1548*T1^6*T2^12 + 4526*T1^7*T2^12 - 2917*T1^8*T2^12 - 6909*T1^9*T2^12 + 
     11573*T1^10*T2^12 - 6909*T1^11*T2^12 - 2917*T1^12*T2^12 + 
     4526*T1^13*T2^12 - 1548*T1^14*T2^12 - 135*T1^15*T2^12 + 79*T1^16*T2^12 - 
     64*T1^5*T2^13 + 288*T1^6*T2^13 + 218*T1^7*T2^13 - 2450*T1^8*T2^13 + 
     4526*T1^9*T2^13 - 2176*T1^10*T2^13 - 2176*T1^11*T2^13 + 
     4526*T1^12*T2^13 - 2450*T1^13*T2^13 + 218*T1^14*T2^13 + 
     288*T1^15*T2^13 - 64*T1^16*T2^13 + 32*T1^6*T2^14 - 207*T1^7*T2^14 + 
     335*T1^8*T2^14 + 218*T1^9*T2^14 - 1548*T1^10*T2^14 + 2197*T1^11*T2^14 - 
     1548*T1^12*T2^14 + 218*T1^13*T2^14 + 335*T1^14*T2^14 - 207*T1^15*T2^14 + 
     32*T1^16*T2^14 - 9*T1^7*T2^15 + 72*T1^8*T2^15 - 207*T1^9*T2^15 + 
     288*T1^10*T2^15 - 135*T1^11*T2^15 - 135*T1^12*T2^15 + 288*T1^13*T2^15 - 
     207*T1^14*T2^15 + 72*T1^15*T2^15 - 9*T1^16*T2^15 + T1^8*T2^16 - 
     9*T1^9*T2^16 + 32*T1^10*T2^16 - 64*T1^11*T2^16 + 79*T1^12*T2^16 - 
     64*T1^13*T2^16 + 32*T1^14*T2^16 - 9*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, 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), (1 - 8*T1 + 24*T1^2 - 43*T1^3 + 51*T1^4 - 43*T1^5 + 24*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 127*T1^2*T2 + 149*T1^3*T2 - 
     62*T1^4*T2 - 62*T1^5*T2 + 149*T1^6*T2 - 127*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 24*T2^2 - 127*T1*T2^2 + 82*T1^2*T2^2 + 319*T1^3*T2^2 - 
     935*T1^4*T2^2 + 1166*T1^5*T2^2 - 935*T1^6*T2^2 + 319*T1^7*T2^2 + 
     82*T1^8*T2^2 - 127*T1^9*T2^2 + 24*T1^10*T2^2 - 43*T2^3 + 149*T1*T2^3 + 
     319*T1^2*T2^3 - 1276*T1^3*T2^3 + 1775*T1^4*T2^3 - 712*T1^5*T2^3 - 
     712*T1^6*T2^3 + 1775*T1^7*T2^3 - 1276*T1^8*T2^3 + 319*T1^9*T2^3 + 
     149*T1^10*T2^3 - 43*T1^11*T2^3 + 51*T2^4 - 62*T1*T2^4 - 935*T1^2*T2^4 + 
     1775*T1^3*T2^4 - 851*T1^4*T2^4 - 2026*T1^5*T2^4 + 2979*T1^6*T2^4 - 
     2026*T1^7*T2^4 - 851*T1^8*T2^4 + 1775*T1^9*T2^4 - 935*T1^10*T2^4 - 
     62*T1^11*T2^4 + 51*T1^12*T2^4 - 43*T2^5 - 62*T1*T2^5 + 1166*T1^2*T2^5 - 
     712*T1^3*T2^5 - 2026*T1^4*T2^5 + 4674*T1^5*T2^5 - 1927*T1^6*T2^5 - 
     1927*T1^7*T2^5 + 4674*T1^8*T2^5 - 2026*T1^9*T2^5 - 712*T1^10*T2^5 + 
     1166*T1^11*T2^5 - 62*T1^12*T2^5 - 43*T1^13*T2^5 + 24*T2^6 + 
     149*T1*T2^6 - 935*T1^2*T2^6 - 712*T1^3*T2^6 + 2979*T1^4*T2^6 - 
     1927*T1^5*T2^6 - 4780*T1^6*T2^6 + 7218*T1^7*T2^6 - 4780*T1^8*T2^6 - 
     1927*T1^9*T2^6 + 2979*T1^10*T2^6 - 712*T1^11*T2^6 - 935*T1^12*T2^6 + 
     149*T1^13*T2^6 + 24*T1^14*T2^6 - 8*T2^7 - 127*T1*T2^7 + 319*T1^2*T2^7 + 
     1775*T1^3*T2^7 - 2026*T1^4*T2^7 - 1927*T1^5*T2^7 + 7218*T1^6*T2^7 - 
     3266*T1^7*T2^7 - 3266*T1^8*T2^7 + 7218*T1^9*T2^7 - 1927*T1^10*T2^7 - 
     2026*T1^11*T2^7 + 1775*T1^12*T2^7 + 319*T1^13*T2^7 - 127*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 82*T1^2*T2^8 - 1276*T1^3*T2^8 - 
     851*T1^4*T2^8 + 4674*T1^5*T2^8 - 4780*T1^6*T2^8 - 3266*T1^7*T2^8 + 
     6552*T1^8*T2^8 - 3266*T1^9*T2^8 - 4780*T1^10*T2^8 + 4674*T1^11*T2^8 - 
     851*T1^12*T2^8 - 1276*T1^13*T2^8 + 82*T1^14*T2^8 + 56*T1^15*T2^8 + 
     T1^16*T2^8 - 8*T1*T2^9 - 127*T1^2*T2^9 + 319*T1^3*T2^9 + 
     1775*T1^4*T2^9 - 2026*T1^5*T2^9 - 1927*T1^6*T2^9 + 7218*T1^7*T2^9 - 
     3266*T1^8*T2^9 - 3266*T1^9*T2^9 + 7218*T1^10*T2^9 - 1927*T1^11*T2^9 - 
     2026*T1^12*T2^9 + 1775*T1^13*T2^9 + 319*T1^14*T2^9 - 127*T1^15*T2^9 - 
     8*T1^16*T2^9 + 24*T1^2*T2^10 + 149*T1^3*T2^10 - 935*T1^4*T2^10 - 
     712*T1^5*T2^10 + 2979*T1^6*T2^10 - 1927*T1^7*T2^10 - 4780*T1^8*T2^10 + 
     7218*T1^9*T2^10 - 4780*T1^10*T2^10 - 1927*T1^11*T2^10 + 
     2979*T1^12*T2^10 - 712*T1^13*T2^10 - 935*T1^14*T2^10 + 149*T1^15*T2^10 + 
     24*T1^16*T2^10 - 43*T1^3*T2^11 - 62*T1^4*T2^11 + 1166*T1^5*T2^11 - 
     712*T1^6*T2^11 - 2026*T1^7*T2^11 + 4674*T1^8*T2^11 - 1927*T1^9*T2^11 - 
     1927*T1^10*T2^11 + 4674*T1^11*T2^11 - 2026*T1^12*T2^11 - 
     712*T1^13*T2^11 + 1166*T1^14*T2^11 - 62*T1^15*T2^11 - 43*T1^16*T2^11 + 
     51*T1^4*T2^12 - 62*T1^5*T2^12 - 935*T1^6*T2^12 + 1775*T1^7*T2^12 - 
     851*T1^8*T2^12 - 2026*T1^9*T2^12 + 2979*T1^10*T2^12 - 2026*T1^11*T2^12 - 
     851*T1^12*T2^12 + 1775*T1^13*T2^12 - 935*T1^14*T2^12 - 62*T1^15*T2^12 + 
     51*T1^16*T2^12 - 43*T1^5*T2^13 + 149*T1^6*T2^13 + 319*T1^7*T2^13 - 
     1276*T1^8*T2^13 + 1775*T1^9*T2^13 - 712*T1^10*T2^13 - 712*T1^11*T2^13 + 
     1775*T1^12*T2^13 - 1276*T1^13*T2^13 + 319*T1^14*T2^13 + 
     149*T1^15*T2^13 - 43*T1^16*T2^13 + 24*T1^6*T2^14 - 127*T1^7*T2^14 + 
     82*T1^8*T2^14 + 319*T1^9*T2^14 - 935*T1^10*T2^14 + 1166*T1^11*T2^14 - 
     935*T1^12*T2^14 + 319*T1^13*T2^14 + 82*T1^14*T2^14 - 127*T1^15*T2^14 + 
     24*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 127*T1^9*T2^15 + 
     149*T1^10*T2^15 - 62*T1^11*T2^15 - 62*T1^12*T2^15 + 149*T1^13*T2^15 - 
     127*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
     8*T1^9*T2^16 + 24*T1^10*T2^16 - 43*T1^11*T2^16 + 51*T1^12*T2^16 - 
     43*T1^13*T2^16 + 24*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, 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, 
   -((1 - 5*T1 + 10*T1^2 - 13*T1^3 + 10*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
      26*T1*T2 - 46*T1^2*T2 + 30*T1^3*T2 + 30*T1^4*T2 - 46*T1^5*T2 + 
      26*T1^6*T2 - 5*T1^7*T2 + 10*T2^2 - 46*T1*T2^2 - 23*T1^2*T2^2 + 
      352*T1^3*T2^2 - 623*T1^4*T2^2 + 352*T1^5*T2^2 - 23*T1^6*T2^2 - 
      46*T1^7*T2^2 + 10*T1^8*T2^2 - 13*T2^3 + 30*T1*T2^3 + 352*T1^2*T2^3 - 
      1158*T1^3*T2^3 + 814*T1^4*T2^3 + 814*T1^5*T2^3 - 1158*T1^6*T2^3 + 
      352*T1^7*T2^3 + 30*T1^8*T2^3 - 13*T1^9*T2^3 + 10*T2^4 + 30*T1*T2^4 - 
      623*T1^2*T2^4 + 814*T1^3*T2^4 + 1914*T1^4*T2^4 - 4242*T1^5*T2^4 + 
      1914*T1^6*T2^4 + 814*T1^7*T2^4 - 623*T1^8*T2^4 + 30*T1^9*T2^4 + 
      10*T1^10*T2^4 - 5*T2^5 - 46*T1*T2^5 + 352*T1^2*T2^5 + 814*T1^3*T2^5 - 
      4242*T1^4*T2^5 + 2994*T1^5*T2^5 + 2994*T1^6*T2^5 - 4242*T1^7*T2^5 + 
      814*T1^8*T2^5 + 352*T1^9*T2^5 - 46*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
      26*T1*T2^6 - 23*T1^2*T2^6 - 1158*T1^3*T2^6 + 1914*T1^4*T2^6 + 
      2994*T1^5*T2^6 - 7116*T1^6*T2^6 + 2994*T1^7*T2^6 + 1914*T1^8*T2^6 - 
      1158*T1^9*T2^6 - 23*T1^10*T2^6 + 26*T1^11*T2^6 + T1^12*T2^6 - 
      5*T1*T2^7 - 46*T1^2*T2^7 + 352*T1^3*T2^7 + 814*T1^4*T2^7 - 
      4242*T1^5*T2^7 + 2994*T1^6*T2^7 + 2994*T1^7*T2^7 - 4242*T1^8*T2^7 + 
      814*T1^9*T2^7 + 352*T1^10*T2^7 - 46*T1^11*T2^7 - 5*T1^12*T2^7 + 
      10*T1^2*T2^8 + 30*T1^3*T2^8 - 623*T1^4*T2^8 + 814*T1^5*T2^8 + 
      1914*T1^6*T2^8 - 4242*T1^7*T2^8 + 1914*T1^8*T2^8 + 814*T1^9*T2^8 - 
      623*T1^10*T2^8 + 30*T1^11*T2^8 + 10*T1^12*T2^8 - 13*T1^3*T2^9 + 
      30*T1^4*T2^9 + 352*T1^5*T2^9 - 1158*T1^6*T2^9 + 814*T1^7*T2^9 + 
      814*T1^8*T2^9 - 1158*T1^9*T2^9 + 352*T1^10*T2^9 + 30*T1^11*T2^9 - 
      13*T1^12*T2^9 + 10*T1^4*T2^10 - 46*T1^5*T2^10 - 23*T1^6*T2^10 + 
      352*T1^7*T2^10 - 623*T1^8*T2^10 + 352*T1^9*T2^10 - 23*T1^10*T2^10 - 
      46*T1^11*T2^10 + 10*T1^12*T2^10 - 5*T1^5*T2^11 + 26*T1^6*T2^11 - 
      46*T1^7*T2^11 + 30*T1^8*T2^11 + 30*T1^9*T2^11 - 46*T1^10*T2^11 + 
      26*T1^11*T2^11 - 5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 
      10*T1^8*T2^12 - 13*T1^9*T2^12 + 10*T1^10*T2^12 - 5*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   (1 + 3*T1 - 5*T1^2 + 7*T1^3 - 5*T1^4 + 3*T1^5 + T1^6 + 3*T2 - 44*T1*T2 + 
     44*T1^2*T2 - 28*T1^3*T2 - 28*T1^4*T2 + 44*T1^5*T2 - 44*T1^6*T2 + 
     3*T1^7*T2 - 5*T2^2 + 44*T1*T2^2 + 173*T1^2*T2^2 - 319*T1^3*T2^2 + 
     463*T1^4*T2^2 - 319*T1^5*T2^2 + 173*T1^6*T2^2 + 44*T1^7*T2^2 - 
     5*T1^8*T2^2 + 7*T2^3 - 28*T1*T2^3 - 319*T1^2*T2^3 + 46*T1^3*T2^3 - 
     104*T1^4*T2^3 - 104*T1^5*T2^3 + 46*T1^6*T2^3 - 319*T1^7*T2^3 - 
     28*T1^8*T2^3 + 7*T1^9*T2^3 - 5*T2^4 - 28*T1*T2^4 + 463*T1^2*T2^4 - 
     104*T1^3*T2^4 + 1409*T1^4*T2^4 - 1695*T1^5*T2^4 + 1409*T1^6*T2^4 - 
     104*T1^7*T2^4 + 463*T1^8*T2^4 - 28*T1^9*T2^4 - 5*T1^10*T2^4 + 3*T2^5 + 
     44*T1*T2^5 - 319*T1^2*T2^5 - 104*T1^3*T2^5 - 1695*T1^4*T2^5 + 
     648*T1^5*T2^5 + 648*T1^6*T2^5 - 1695*T1^7*T2^5 - 104*T1^8*T2^5 - 
     319*T1^9*T2^5 + 44*T1^10*T2^5 + 3*T1^11*T2^5 + T2^6 - 44*T1*T2^6 + 
     173*T1^2*T2^6 + 46*T1^3*T2^6 + 1409*T1^4*T2^6 + 648*T1^5*T2^6 - 
     1140*T1^6*T2^6 + 648*T1^7*T2^6 + 1409*T1^8*T2^6 + 46*T1^9*T2^6 + 
     173*T1^10*T2^6 - 44*T1^11*T2^6 + T1^12*T2^6 + 3*T1*T2^7 + 44*T1^2*T2^7 - 
     319*T1^3*T2^7 - 104*T1^4*T2^7 - 1695*T1^5*T2^7 + 648*T1^6*T2^7 + 
     648*T1^7*T2^7 - 1695*T1^8*T2^7 - 104*T1^9*T2^7 - 319*T1^10*T2^7 + 
     44*T1^11*T2^7 + 3*T1^12*T2^7 - 5*T1^2*T2^8 - 28*T1^3*T2^8 + 
     463*T1^4*T2^8 - 104*T1^5*T2^8 + 1409*T1^6*T2^8 - 1695*T1^7*T2^8 + 
     1409*T1^8*T2^8 - 104*T1^9*T2^8 + 463*T1^10*T2^8 - 28*T1^11*T2^8 - 
     5*T1^12*T2^8 + 7*T1^3*T2^9 - 28*T1^4*T2^9 - 319*T1^5*T2^9 + 
     46*T1^6*T2^9 - 104*T1^7*T2^9 - 104*T1^8*T2^9 + 46*T1^9*T2^9 - 
     319*T1^10*T2^9 - 28*T1^11*T2^9 + 7*T1^12*T2^9 - 5*T1^4*T2^10 + 
     44*T1^5*T2^10 + 173*T1^6*T2^10 - 319*T1^7*T2^10 + 463*T1^8*T2^10 - 
     319*T1^9*T2^10 + 173*T1^10*T2^10 + 44*T1^11*T2^10 - 5*T1^12*T2^10 + 
     3*T1^5*T2^11 - 44*T1^6*T2^11 + 44*T1^7*T2^11 - 28*T1^8*T2^11 - 
     28*T1^9*T2^11 + 44*T1^10*T2^11 - 44*T1^11*T2^11 + 3*T1^12*T2^11 + 
     T1^6*T2^12 + 3*T1^7*T2^12 - 5*T1^8*T2^12 + 7*T1^9*T2^12 - 
     5*T1^10*T2^12 + 3*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 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, 
   -((1 - T1 + 2*T1^2 + T1^3 + 2*T1^4 - T1^5 + T1^6 - T2 - 16*T1*T2 + 
      20*T1^2*T2 - 32*T1^3*T2 - 32*T1^4*T2 + 20*T1^5*T2 - 16*T1^6*T2 - 
      T1^7*T2 + 2*T2^2 + 20*T1*T2^2 + 85*T1^2*T2^2 - 146*T1^3*T2^2 + 
      399*T1^4*T2^2 - 146*T1^5*T2^2 + 85*T1^6*T2^2 + 20*T1^7*T2^2 + 
      2*T1^8*T2^2 + T2^3 - 32*T1*T2^3 - 146*T1^2*T2^3 + 10*T1^3*T2^3 - 
      384*T1^4*T2^3 - 384*T1^5*T2^3 + 10*T1^6*T2^3 - 146*T1^7*T2^3 - 
      32*T1^8*T2^3 + T1^9*T2^3 + 2*T2^4 - 32*T1*T2^4 + 399*T1^2*T2^4 - 
      384*T1^3*T2^4 + 1457*T1^4*T2^4 - 315*T1^5*T2^4 + 1457*T1^6*T2^4 - 
      384*T1^7*T2^4 + 399*T1^8*T2^4 - 32*T1^9*T2^4 + 2*T1^10*T2^4 - T2^5 + 
      20*T1*T2^5 - 146*T1^2*T2^5 - 384*T1^3*T2^5 - 315*T1^4*T2^5 - 
      1284*T1^5*T2^5 - 1284*T1^6*T2^5 - 315*T1^7*T2^5 - 384*T1^8*T2^5 - 
      146*T1^9*T2^5 + 20*T1^10*T2^5 - T1^11*T2^5 + T2^6 - 16*T1*T2^6 + 
      85*T1^2*T2^6 + 10*T1^3*T2^6 + 1457*T1^4*T2^6 - 1284*T1^5*T2^6 + 
      4464*T1^6*T2^6 - 1284*T1^7*T2^6 + 1457*T1^8*T2^6 + 10*T1^9*T2^6 + 
      85*T1^10*T2^6 - 16*T1^11*T2^6 + T1^12*T2^6 - T1*T2^7 + 20*T1^2*T2^7 - 
      146*T1^3*T2^7 - 384*T1^4*T2^7 - 315*T1^5*T2^7 - 1284*T1^6*T2^7 - 
      1284*T1^7*T2^7 - 315*T1^8*T2^7 - 384*T1^9*T2^7 - 146*T1^10*T2^7 + 
      20*T1^11*T2^7 - T1^12*T2^7 + 2*T1^2*T2^8 - 32*T1^3*T2^8 + 
      399*T1^4*T2^8 - 384*T1^5*T2^8 + 1457*T1^6*T2^8 - 315*T1^7*T2^8 + 
      1457*T1^8*T2^8 - 384*T1^9*T2^8 + 399*T1^10*T2^8 - 32*T1^11*T2^8 + 
      2*T1^12*T2^8 + T1^3*T2^9 - 32*T1^4*T2^9 - 146*T1^5*T2^9 + 
      10*T1^6*T2^9 - 384*T1^7*T2^9 - 384*T1^8*T2^9 + 10*T1^9*T2^9 - 
      146*T1^10*T2^9 - 32*T1^11*T2^9 + T1^12*T2^9 + 2*T1^4*T2^10 + 
      20*T1^5*T2^10 + 85*T1^6*T2^10 - 146*T1^7*T2^10 + 399*T1^8*T2^10 - 
      146*T1^9*T2^10 + 85*T1^10*T2^10 + 20*T1^11*T2^10 + 2*T1^12*T2^10 - 
      T1^5*T2^11 - 16*T1^6*T2^11 + 20*T1^7*T2^11 - 32*T1^8*T2^11 - 
      32*T1^9*T2^11 + 20*T1^10*T2^11 - 16*T1^11*T2^11 - T1^12*T2^11 + 
      T1^6*T2^12 - T1^7*T2^12 + 2*T1^8*T2^12 + T1^9*T2^12 + 2*T1^10*T2^12 - 
      T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 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), 
   -((1 - 7*T1 + 22*T1^2 - 42*T1^3 + 51*T1^4 - 42*T1^5 + 22*T1^6 - 7*T1^7 + 
      T1^8 - 7*T2 + 42*T1*T2 - 105*T1^2*T2 + 140*T1^3*T2 - 63*T1^4*T2 - 
      63*T1^5*T2 + 140*T1^6*T2 - 105*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 
      22*T2^2 - 105*T1*T2^2 + 162*T1^2*T2^2 + 7*T1^3*T2^2 - 465*T1^4*T2^2 + 
      672*T1^5*T2^2 - 465*T1^6*T2^2 + 7*T1^7*T2^2 + 162*T1^8*T2^2 - 
      105*T1^9*T2^2 + 22*T1^10*T2^2 - 42*T2^3 + 140*T1*T2^3 + 7*T1^2*T2^3 - 
      628*T1^3*T2^3 + 1274*T1^4*T2^3 - 596*T1^5*T2^3 - 596*T1^6*T2^3 + 
      1274*T1^7*T2^3 - 628*T1^8*T2^3 + 7*T1^9*T2^3 + 140*T1^10*T2^3 - 
      42*T1^11*T2^3 + 51*T2^4 - 63*T1*T2^4 - 465*T1^2*T2^4 + 1274*T1^3*T2^4 - 
      986*T1^4*T2^4 - 1554*T1^5*T2^4 + 2746*T1^6*T2^4 - 1554*T1^7*T2^4 - 
      986*T1^8*T2^4 + 1274*T1^9*T2^4 - 465*T1^10*T2^4 - 63*T1^11*T2^4 + 
      51*T1^12*T2^4 - 42*T2^5 - 63*T1*T2^5 + 672*T1^2*T2^5 - 596*T1^3*T2^5 - 
      1554*T1^4*T2^5 + 4480*T1^5*T2^5 - 2270*T1^6*T2^5 - 2270*T1^7*T2^5 + 
      4480*T1^8*T2^5 - 1554*T1^9*T2^5 - 596*T1^10*T2^5 + 672*T1^11*T2^5 - 
      63*T1^12*T2^5 - 42*T1^13*T2^5 + 22*T2^6 + 140*T1*T2^6 - 465*T1^2*T2^6 - 
      596*T1^3*T2^6 + 2746*T1^4*T2^6 - 2270*T1^5*T2^6 - 4383*T1^6*T2^6 + 
      8013*T1^7*T2^6 - 4383*T1^8*T2^6 - 2270*T1^9*T2^6 + 2746*T1^10*T2^6 - 
      596*T1^11*T2^6 - 465*T1^12*T2^6 + 140*T1^13*T2^6 + 22*T1^14*T2^6 - 
      7*T2^7 - 105*T1*T2^7 + 7*T1^2*T2^7 + 1274*T1^3*T2^7 - 1554*T1^4*T2^7 - 
      2270*T1^5*T2^7 + 8013*T1^6*T2^7 - 4522*T1^7*T2^7 - 4522*T1^8*T2^7 + 
      8013*T1^9*T2^7 - 2270*T1^10*T2^7 - 1554*T1^11*T2^7 + 1274*T1^12*T2^7 + 
      7*T1^13*T2^7 - 105*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 
      162*T1^2*T2^8 - 628*T1^3*T2^8 - 986*T1^4*T2^8 + 4480*T1^5*T2^8 - 
      4383*T1^6*T2^8 - 4522*T1^7*T2^8 + 10020*T1^8*T2^8 - 4522*T1^9*T2^8 - 
      4383*T1^10*T2^8 + 4480*T1^11*T2^8 - 986*T1^12*T2^8 - 628*T1^13*T2^8 + 
      162*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 
      105*T1^2*T2^9 + 7*T1^3*T2^9 + 1274*T1^4*T2^9 - 1554*T1^5*T2^9 - 
      2270*T1^6*T2^9 + 8013*T1^7*T2^9 - 4522*T1^8*T2^9 - 4522*T1^9*T2^9 + 
      8013*T1^10*T2^9 - 2270*T1^11*T2^9 - 1554*T1^12*T2^9 + 1274*T1^13*T2^9 + 
      7*T1^14*T2^9 - 105*T1^15*T2^9 - 7*T1^16*T2^9 + 22*T1^2*T2^10 + 
      140*T1^3*T2^10 - 465*T1^4*T2^10 - 596*T1^5*T2^10 + 2746*T1^6*T2^10 - 
      2270*T1^7*T2^10 - 4383*T1^8*T2^10 + 8013*T1^9*T2^10 - 
      4383*T1^10*T2^10 - 2270*T1^11*T2^10 + 2746*T1^12*T2^10 - 
      596*T1^13*T2^10 - 465*T1^14*T2^10 + 140*T1^15*T2^10 + 22*T1^16*T2^10 - 
      42*T1^3*T2^11 - 63*T1^4*T2^11 + 672*T1^5*T2^11 - 596*T1^6*T2^11 - 
      1554*T1^7*T2^11 + 4480*T1^8*T2^11 - 2270*T1^9*T2^11 - 
      2270*T1^10*T2^11 + 4480*T1^11*T2^11 - 1554*T1^12*T2^11 - 
      596*T1^13*T2^11 + 672*T1^14*T2^11 - 63*T1^15*T2^11 - 42*T1^16*T2^11 + 
      51*T1^4*T2^12 - 63*T1^5*T2^12 - 465*T1^6*T2^12 + 1274*T1^7*T2^12 - 
      986*T1^8*T2^12 - 1554*T1^9*T2^12 + 2746*T1^10*T2^12 - 
      1554*T1^11*T2^12 - 986*T1^12*T2^12 + 1274*T1^13*T2^12 - 
      465*T1^14*T2^12 - 63*T1^15*T2^12 + 51*T1^16*T2^12 - 42*T1^5*T2^13 + 
      140*T1^6*T2^13 + 7*T1^7*T2^13 - 628*T1^8*T2^13 + 1274*T1^9*T2^13 - 
      596*T1^10*T2^13 - 596*T1^11*T2^13 + 1274*T1^12*T2^13 - 
      628*T1^13*T2^13 + 7*T1^14*T2^13 + 140*T1^15*T2^13 - 42*T1^16*T2^13 + 
      22*T1^6*T2^14 - 105*T1^7*T2^14 + 162*T1^8*T2^14 + 7*T1^9*T2^14 - 
      465*T1^10*T2^14 + 672*T1^11*T2^14 - 465*T1^12*T2^14 + 7*T1^13*T2^14 + 
      162*T1^14*T2^14 - 105*T1^15*T2^14 + 22*T1^16*T2^14 - 7*T1^7*T2^15 + 
      42*T1^8*T2^15 - 105*T1^9*T2^15 + 140*T1^10*T2^15 - 63*T1^11*T2^15 - 
      63*T1^12*T2^15 + 140*T1^13*T2^15 - 105*T1^14*T2^15 + 42*T1^15*T2^15 - 
      7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 22*T1^10*T2^16 - 
      42*T1^11*T2^16 + 51*T1^12*T2^16 - 42*T1^13*T2^16 + 22*T1^14*T2^16 - 
      7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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), (1 - 8*T1 + 28*T1^2 - 57*T1^3 + 71*T1^4 - 57*T1^5 + 28*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 160*T1^2*T2 + 232*T1^3*T2 - 
     112*T1^4*T2 - 112*T1^5*T2 + 232*T1^6*T2 - 160*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 28*T2^2 - 160*T1*T2^2 + 298*T1^2*T2^2 - 17*T1^3*T2^2 - 
     899*T1^4*T2^2 + 1384*T1^5*T2^2 - 899*T1^6*T2^2 - 17*T1^7*T2^2 + 
     298*T1^8*T2^2 - 160*T1^9*T2^2 + 28*T1^10*T2^2 - 57*T2^3 + 232*T1*T2^3 - 
     17*T1^2*T2^3 - 1334*T1^3*T2^3 + 2958*T1^4*T2^3 - 1528*T1^5*T2^3 - 
     1528*T1^6*T2^3 + 2958*T1^7*T2^3 - 1334*T1^8*T2^3 - 17*T1^9*T2^3 + 
     232*T1^10*T2^3 - 57*T1^11*T2^3 + 71*T2^4 - 112*T1*T2^4 - 899*T1^2*T2^4 + 
     2958*T1^3*T2^4 - 2499*T1^4*T2^4 - 4279*T1^5*T2^4 + 8009*T1^6*T2^4 - 
     4279*T1^7*T2^4 - 2499*T1^8*T2^4 + 2958*T1^9*T2^4 - 899*T1^10*T2^4 - 
     112*T1^11*T2^4 + 71*T1^12*T2^4 - 57*T2^5 - 112*T1*T2^5 + 
     1384*T1^2*T2^5 - 1528*T1^3*T2^5 - 4279*T1^4*T2^5 + 13518*T1^5*T2^5 - 
     7293*T1^6*T2^5 - 7293*T1^7*T2^5 + 13518*T1^8*T2^5 - 4279*T1^9*T2^5 - 
     1528*T1^10*T2^5 + 1384*T1^11*T2^5 - 112*T1^12*T2^5 - 57*T1^13*T2^5 + 
     28*T2^6 + 232*T1*T2^6 - 899*T1^2*T2^6 - 1528*T1^3*T2^6 + 
     8009*T1^4*T2^6 - 7293*T1^5*T2^6 - 15305*T1^6*T2^6 + 28123*T1^7*T2^6 - 
     15305*T1^8*T2^6 - 7293*T1^9*T2^6 + 8009*T1^10*T2^6 - 1528*T1^11*T2^6 - 
     899*T1^12*T2^6 + 232*T1^13*T2^6 + 28*T1^14*T2^6 - 8*T2^7 - 160*T1*T2^7 - 
     17*T1^2*T2^7 + 2958*T1^3*T2^7 - 4279*T1^4*T2^7 - 7293*T1^5*T2^7 + 
     28123*T1^6*T2^7 - 15780*T1^7*T2^7 - 15780*T1^8*T2^7 + 28123*T1^9*T2^7 - 
     7293*T1^10*T2^7 - 4279*T1^11*T2^7 + 2958*T1^12*T2^7 - 17*T1^13*T2^7 - 
     160*T1^14*T2^7 - 8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 298*T1^2*T2^8 - 
     1334*T1^3*T2^8 - 2499*T1^4*T2^8 + 13518*T1^5*T2^8 - 15305*T1^6*T2^8 - 
     15780*T1^7*T2^8 + 34368*T1^8*T2^8 - 15780*T1^9*T2^8 - 15305*T1^10*T2^8 + 
     13518*T1^11*T2^8 - 2499*T1^12*T2^8 - 1334*T1^13*T2^8 + 298*T1^14*T2^8 + 
     56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 160*T1^2*T2^9 - 17*T1^3*T2^9 + 
     2958*T1^4*T2^9 - 4279*T1^5*T2^9 - 7293*T1^6*T2^9 + 28123*T1^7*T2^9 - 
     15780*T1^8*T2^9 - 15780*T1^9*T2^9 + 28123*T1^10*T2^9 - 7293*T1^11*T2^9 - 
     4279*T1^12*T2^9 + 2958*T1^13*T2^9 - 17*T1^14*T2^9 - 160*T1^15*T2^9 - 
     8*T1^16*T2^9 + 28*T1^2*T2^10 + 232*T1^3*T2^10 - 899*T1^4*T2^10 - 
     1528*T1^5*T2^10 + 8009*T1^6*T2^10 - 7293*T1^7*T2^10 - 15305*T1^8*T2^10 + 
     28123*T1^9*T2^10 - 15305*T1^10*T2^10 - 7293*T1^11*T2^10 + 
     8009*T1^12*T2^10 - 1528*T1^13*T2^10 - 899*T1^14*T2^10 + 
     232*T1^15*T2^10 + 28*T1^16*T2^10 - 57*T1^3*T2^11 - 112*T1^4*T2^11 + 
     1384*T1^5*T2^11 - 1528*T1^6*T2^11 - 4279*T1^7*T2^11 + 13518*T1^8*T2^11 - 
     7293*T1^9*T2^11 - 7293*T1^10*T2^11 + 13518*T1^11*T2^11 - 
     4279*T1^12*T2^11 - 1528*T1^13*T2^11 + 1384*T1^14*T2^11 - 
     112*T1^15*T2^11 - 57*T1^16*T2^11 + 71*T1^4*T2^12 - 112*T1^5*T2^12 - 
     899*T1^6*T2^12 + 2958*T1^7*T2^12 - 2499*T1^8*T2^12 - 4279*T1^9*T2^12 + 
     8009*T1^10*T2^12 - 4279*T1^11*T2^12 - 2499*T1^12*T2^12 + 
     2958*T1^13*T2^12 - 899*T1^14*T2^12 - 112*T1^15*T2^12 + 71*T1^16*T2^12 - 
     57*T1^5*T2^13 + 232*T1^6*T2^13 - 17*T1^7*T2^13 - 1334*T1^8*T2^13 + 
     2958*T1^9*T2^13 - 1528*T1^10*T2^13 - 1528*T1^11*T2^13 + 
     2958*T1^12*T2^13 - 1334*T1^13*T2^13 - 17*T1^14*T2^13 + 232*T1^15*T2^13 - 
     57*T1^16*T2^13 + 28*T1^6*T2^14 - 160*T1^7*T2^14 + 298*T1^8*T2^14 - 
     17*T1^9*T2^14 - 899*T1^10*T2^14 + 1384*T1^11*T2^14 - 899*T1^12*T2^14 - 
     17*T1^13*T2^14 + 298*T1^14*T2^14 - 160*T1^15*T2^14 + 28*T1^16*T2^14 - 
     8*T1^7*T2^15 + 56*T1^8*T2^15 - 160*T1^9*T2^15 + 232*T1^10*T2^15 - 
     112*T1^11*T2^15 - 112*T1^12*T2^15 + 232*T1^13*T2^15 - 160*T1^14*T2^15 + 
     56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 8*T1^9*T2^16 + 
     28*T1^10*T2^16 - 57*T1^11*T2^16 + 71*T1^12*T2^16 - 57*T1^13*T2^16 + 
     28*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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), (1 - 9*T1 + 33*T1^2 - 66*T1^3 + 81*T1^4 - 66*T1^5 + 33*T1^6 - 
     9*T1^7 + T1^8 - 9*T2 + 72*T1*T2 - 216*T1^2*T2 + 297*T1^3*T2 - 
     135*T1^4*T2 - 135*T1^5*T2 + 297*T1^6*T2 - 216*T1^7*T2 + 72*T1^8*T2 - 
     9*T1^9*T2 + 33*T2^2 - 216*T1*T2^2 + 392*T1^2*T2^2 + 205*T1^3*T2^2 - 
     1600*T1^4*T2^2 + 2224*T1^5*T2^2 - 1600*T1^6*T2^2 + 205*T1^7*T2^2 + 
     392*T1^8*T2^2 - 216*T1^9*T2^2 + 33*T1^10*T2^2 - 66*T2^3 + 297*T1*T2^3 + 
     205*T1^2*T2^3 - 2886*T1^3*T2^3 + 5137*T1^4*T2^3 - 2320*T1^5*T2^3 - 
     2320*T1^6*T2^3 + 5137*T1^7*T2^3 - 2886*T1^8*T2^3 + 205*T1^9*T2^3 + 
     297*T1^10*T2^3 - 66*T1^11*T2^3 + 81*T2^4 - 135*T1*T2^4 - 
     1600*T1^2*T2^4 + 5137*T1^3*T2^4 - 1936*T1^4*T2^4 - 10806*T1^5*T2^4 + 
     16072*T1^6*T2^4 - 10806*T1^7*T2^4 - 1936*T1^8*T2^4 + 5137*T1^9*T2^4 - 
     1600*T1^10*T2^4 - 135*T1^11*T2^4 + 81*T1^12*T2^4 - 66*T2^5 - 
     135*T1*T2^5 + 2224*T1^2*T2^5 - 2320*T1^3*T2^5 - 10806*T1^4*T2^5 + 
     25398*T1^5*T2^5 - 11385*T1^6*T2^5 - 11385*T1^7*T2^5 + 25398*T1^8*T2^5 - 
     10806*T1^9*T2^5 - 2320*T1^10*T2^5 + 2224*T1^11*T2^5 - 135*T1^12*T2^5 - 
     66*T1^13*T2^5 + 33*T2^6 + 297*T1*T2^6 - 1600*T1^2*T2^6 - 
     2320*T1^3*T2^6 + 16072*T1^4*T2^6 - 11385*T1^5*T2^6 - 28879*T1^6*T2^6 + 
     45205*T1^7*T2^6 - 28879*T1^8*T2^6 - 11385*T1^9*T2^6 + 16072*T1^10*T2^6 - 
     2320*T1^11*T2^6 - 1600*T1^12*T2^6 + 297*T1^13*T2^6 + 33*T1^14*T2^6 - 
     9*T2^7 - 216*T1*T2^7 + 205*T1^2*T2^7 + 5137*T1^3*T2^7 - 
     10806*T1^4*T2^7 - 11385*T1^5*T2^7 + 45205*T1^6*T2^7 - 20952*T1^7*T2^7 - 
     20952*T1^8*T2^7 + 45205*T1^9*T2^7 - 11385*T1^10*T2^7 - 
     10806*T1^11*T2^7 + 5137*T1^12*T2^7 + 205*T1^13*T2^7 - 216*T1^14*T2^7 - 
     9*T1^15*T2^7 + T2^8 + 72*T1*T2^8 + 392*T1^2*T2^8 - 2886*T1^3*T2^8 - 
     1936*T1^4*T2^8 + 25398*T1^5*T2^8 - 28879*T1^6*T2^8 - 20952*T1^7*T2^8 + 
     41628*T1^8*T2^8 - 20952*T1^9*T2^8 - 28879*T1^10*T2^8 + 
     25398*T1^11*T2^8 - 1936*T1^12*T2^8 - 2886*T1^13*T2^8 + 392*T1^14*T2^8 + 
     72*T1^15*T2^8 + T1^16*T2^8 - 9*T1*T2^9 - 216*T1^2*T2^9 + 205*T1^3*T2^9 + 
     5137*T1^4*T2^9 - 10806*T1^5*T2^9 - 11385*T1^6*T2^9 + 45205*T1^7*T2^9 - 
     20952*T1^8*T2^9 - 20952*T1^9*T2^9 + 45205*T1^10*T2^9 - 
     11385*T1^11*T2^9 - 10806*T1^12*T2^9 + 5137*T1^13*T2^9 + 205*T1^14*T2^9 - 
     216*T1^15*T2^9 - 9*T1^16*T2^9 + 33*T1^2*T2^10 + 297*T1^3*T2^10 - 
     1600*T1^4*T2^10 - 2320*T1^5*T2^10 + 16072*T1^6*T2^10 - 
     11385*T1^7*T2^10 - 28879*T1^8*T2^10 + 45205*T1^9*T2^10 - 
     28879*T1^10*T2^10 - 11385*T1^11*T2^10 + 16072*T1^12*T2^10 - 
     2320*T1^13*T2^10 - 1600*T1^14*T2^10 + 297*T1^15*T2^10 + 33*T1^16*T2^10 - 
     66*T1^3*T2^11 - 135*T1^4*T2^11 + 2224*T1^5*T2^11 - 2320*T1^6*T2^11 - 
     10806*T1^7*T2^11 + 25398*T1^8*T2^11 - 11385*T1^9*T2^11 - 
     11385*T1^10*T2^11 + 25398*T1^11*T2^11 - 10806*T1^12*T2^11 - 
     2320*T1^13*T2^11 + 2224*T1^14*T2^11 - 135*T1^15*T2^11 - 66*T1^16*T2^11 + 
     81*T1^4*T2^12 - 135*T1^5*T2^12 - 1600*T1^6*T2^12 + 5137*T1^7*T2^12 - 
     1936*T1^8*T2^12 - 10806*T1^9*T2^12 + 16072*T1^10*T2^12 - 
     10806*T1^11*T2^12 - 1936*T1^12*T2^12 + 5137*T1^13*T2^12 - 
     1600*T1^14*T2^12 - 135*T1^15*T2^12 + 81*T1^16*T2^12 - 66*T1^5*T2^13 + 
     297*T1^6*T2^13 + 205*T1^7*T2^13 - 2886*T1^8*T2^13 + 5137*T1^9*T2^13 - 
     2320*T1^10*T2^13 - 2320*T1^11*T2^13 + 5137*T1^12*T2^13 - 
     2886*T1^13*T2^13 + 205*T1^14*T2^13 + 297*T1^15*T2^13 - 66*T1^16*T2^13 + 
     33*T1^6*T2^14 - 216*T1^7*T2^14 + 392*T1^8*T2^14 + 205*T1^9*T2^14 - 
     1600*T1^10*T2^14 + 2224*T1^11*T2^14 - 1600*T1^12*T2^14 + 
     205*T1^13*T2^14 + 392*T1^14*T2^14 - 216*T1^15*T2^14 + 33*T1^16*T2^14 - 
     9*T1^7*T2^15 + 72*T1^8*T2^15 - 216*T1^9*T2^15 + 297*T1^10*T2^15 - 
     135*T1^11*T2^15 - 135*T1^12*T2^15 + 297*T1^13*T2^15 - 216*T1^14*T2^15 + 
     72*T1^15*T2^15 - 9*T1^16*T2^15 + T1^8*T2^16 - 9*T1^9*T2^16 + 
     33*T1^10*T2^16 - 66*T1^11*T2^16 + 81*T1^12*T2^16 - 66*T1^13*T2^16 + 
     33*T1^14*T2^16 - 9*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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), 
   (1 - 8*T1 + 27*T1^2 - 53*T1^3 + 65*T1^4 - 53*T1^5 + 27*T1^6 - 8*T1^7 + 
     T1^8 - 8*T2 + 56*T1*T2 - 152*T1^2*T2 + 208*T1^3*T2 - 96*T1^4*T2 - 
     96*T1^5*T2 + 208*T1^6*T2 - 152*T1^7*T2 + 56*T1^8*T2 - 8*T1^9*T2 + 
     27*T2^2 - 152*T1*T2^2 + 247*T1^2*T2^2 + 67*T1^3*T2^2 - 872*T1^4*T2^2 + 
     1253*T1^5*T2^2 - 872*T1^6*T2^2 + 67*T1^7*T2^2 + 247*T1^8*T2^2 - 
     152*T1^9*T2^2 + 27*T1^10*T2^2 - 53*T2^3 + 208*T1*T2^3 + 67*T1^2*T2^3 - 
     1302*T1^3*T2^3 + 2501*T1^4*T2^3 - 1182*T1^5*T2^3 - 1182*T1^6*T2^3 + 
     2501*T1^7*T2^3 - 1302*T1^8*T2^3 + 67*T1^9*T2^3 + 208*T1^10*T2^3 - 
     53*T1^11*T2^3 + 65*T2^4 - 96*T1*T2^4 - 872*T1^2*T2^4 + 2501*T1^3*T2^4 - 
     1673*T1^4*T2^4 - 3678*T1^5*T2^4 + 6133*T1^6*T2^4 - 3678*T1^7*T2^4 - 
     1673*T1^8*T2^4 + 2501*T1^9*T2^4 - 872*T1^10*T2^4 - 96*T1^11*T2^4 + 
     65*T1^12*T2^4 - 53*T2^5 - 96*T1*T2^5 + 1253*T1^2*T2^5 - 1182*T1^3*T2^5 - 
     3678*T1^4*T2^5 + 9992*T1^5*T2^5 - 4798*T1^6*T2^5 - 4798*T1^7*T2^5 + 
     9992*T1^8*T2^5 - 3678*T1^9*T2^5 - 1182*T1^10*T2^5 + 1253*T1^11*T2^5 - 
     96*T1^12*T2^5 - 53*T1^13*T2^5 + 27*T2^6 + 208*T1*T2^6 - 872*T1^2*T2^6 - 
     1182*T1^3*T2^6 + 6133*T1^4*T2^6 - 4798*T1^5*T2^6 - 10833*T1^6*T2^6 + 
     17997*T1^7*T2^6 - 10833*T1^8*T2^6 - 4798*T1^9*T2^6 + 6133*T1^10*T2^6 - 
     1182*T1^11*T2^6 - 872*T1^12*T2^6 + 208*T1^13*T2^6 + 27*T1^14*T2^6 - 
     8*T2^7 - 152*T1*T2^7 + 67*T1^2*T2^7 + 2501*T1^3*T2^7 - 3678*T1^4*T2^7 - 
     4798*T1^5*T2^7 + 17997*T1^6*T2^7 - 8916*T1^7*T2^7 - 8916*T1^8*T2^7 + 
     17997*T1^9*T2^7 - 4798*T1^10*T2^7 - 3678*T1^11*T2^7 + 2501*T1^12*T2^7 + 
     67*T1^13*T2^7 - 152*T1^14*T2^7 - 8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 
     247*T1^2*T2^8 - 1302*T1^3*T2^8 - 1673*T1^4*T2^8 + 9992*T1^5*T2^8 - 
     10833*T1^6*T2^8 - 8916*T1^7*T2^8 + 18312*T1^8*T2^8 - 8916*T1^9*T2^8 - 
     10833*T1^10*T2^8 + 9992*T1^11*T2^8 - 1673*T1^12*T2^8 - 1302*T1^13*T2^8 + 
     247*T1^14*T2^8 + 56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 
     152*T1^2*T2^9 + 67*T1^3*T2^9 + 2501*T1^4*T2^9 - 3678*T1^5*T2^9 - 
     4798*T1^6*T2^9 + 17997*T1^7*T2^9 - 8916*T1^8*T2^9 - 8916*T1^9*T2^9 + 
     17997*T1^10*T2^9 - 4798*T1^11*T2^9 - 3678*T1^12*T2^9 + 2501*T1^13*T2^9 + 
     67*T1^14*T2^9 - 152*T1^15*T2^9 - 8*T1^16*T2^9 + 27*T1^2*T2^10 + 
     208*T1^3*T2^10 - 872*T1^4*T2^10 - 1182*T1^5*T2^10 + 6133*T1^6*T2^10 - 
     4798*T1^7*T2^10 - 10833*T1^8*T2^10 + 17997*T1^9*T2^10 - 
     10833*T1^10*T2^10 - 4798*T1^11*T2^10 + 6133*T1^12*T2^10 - 
     1182*T1^13*T2^10 - 872*T1^14*T2^10 + 208*T1^15*T2^10 + 27*T1^16*T2^10 - 
     53*T1^3*T2^11 - 96*T1^4*T2^11 + 1253*T1^5*T2^11 - 1182*T1^6*T2^11 - 
     3678*T1^7*T2^11 + 9992*T1^8*T2^11 - 4798*T1^9*T2^11 - 4798*T1^10*T2^11 + 
     9992*T1^11*T2^11 - 3678*T1^12*T2^11 - 1182*T1^13*T2^11 + 
     1253*T1^14*T2^11 - 96*T1^15*T2^11 - 53*T1^16*T2^11 + 65*T1^4*T2^12 - 
     96*T1^5*T2^12 - 872*T1^6*T2^12 + 2501*T1^7*T2^12 - 1673*T1^8*T2^12 - 
     3678*T1^9*T2^12 + 6133*T1^10*T2^12 - 3678*T1^11*T2^12 - 
     1673*T1^12*T2^12 + 2501*T1^13*T2^12 - 872*T1^14*T2^12 - 96*T1^15*T2^12 + 
     65*T1^16*T2^12 - 53*T1^5*T2^13 + 208*T1^6*T2^13 + 67*T1^7*T2^13 - 
     1302*T1^8*T2^13 + 2501*T1^9*T2^13 - 1182*T1^10*T2^13 - 
     1182*T1^11*T2^13 + 2501*T1^12*T2^13 - 1302*T1^13*T2^13 + 
     67*T1^14*T2^13 + 208*T1^15*T2^13 - 53*T1^16*T2^13 + 27*T1^6*T2^14 - 
     152*T1^7*T2^14 + 247*T1^8*T2^14 + 67*T1^9*T2^14 - 872*T1^10*T2^14 + 
     1253*T1^11*T2^14 - 872*T1^12*T2^14 + 67*T1^13*T2^14 + 247*T1^14*T2^14 - 
     152*T1^15*T2^14 + 27*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 
     152*T1^9*T2^15 + 208*T1^10*T2^15 - 96*T1^11*T2^15 - 96*T1^12*T2^15 + 
     208*T1^13*T2^15 - 152*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + 
     T1^8*T2^16 - 8*T1^9*T2^16 + 27*T1^10*T2^16 - 53*T1^11*T2^16 + 
     65*T1^12*T2^16 - 53*T1^13*T2^16 + 27*T1^14*T2^16 - 8*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, 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), 
   (1 - 9*T1 + 34*T1^2 - 70*T1^3 + 87*T1^4 - 70*T1^5 + 34*T1^6 - 9*T1^7 + 
     T1^8 - 9*T2 + 72*T1*T2 - 225*T1^2*T2 + 324*T1^3*T2 - 153*T1^4*T2 - 
     153*T1^5*T2 + 324*T1^6*T2 - 225*T1^7*T2 + 72*T1^8*T2 - 9*T1^9*T2 + 
     34*T2^2 - 225*T1*T2^2 + 463*T1^2*T2^2 + 60*T1^3*T2^2 - 1540*T1^4*T2^2 + 
     2267*T1^5*T2^2 - 1540*T1^6*T2^2 + 60*T1^7*T2^2 + 463*T1^8*T2^2 - 
     225*T1^9*T2^2 + 34*T1^10*T2^2 - 70*T2^3 + 324*T1*T2^3 + 60*T1^2*T2^3 - 
     2806*T1^3*T2^3 + 5550*T1^4*T2^3 - 2682*T1^5*T2^3 - 2682*T1^6*T2^3 + 
     5550*T1^7*T2^3 - 2806*T1^8*T2^3 + 60*T1^9*T2^3 + 324*T1^10*T2^3 - 
     70*T1^11*T2^3 + 87*T2^4 - 153*T1*T2^4 - 1540*T1^2*T2^4 + 
     5550*T1^3*T2^4 - 2774*T1^4*T2^4 - 11779*T1^5*T2^4 + 18640*T1^6*T2^4 - 
     11779*T1^7*T2^4 - 2774*T1^8*T2^4 + 5550*T1^9*T2^4 - 1540*T1^10*T2^4 - 
     153*T1^11*T2^4 + 87*T1^12*T2^4 - 70*T2^5 - 153*T1*T2^5 + 
     2267*T1^2*T2^5 - 2682*T1^3*T2^5 - 11779*T1^4*T2^5 + 30104*T1^5*T2^5 - 
     14505*T1^6*T2^5 - 14505*T1^7*T2^5 + 30104*T1^8*T2^5 - 11779*T1^9*T2^5 - 
     2682*T1^10*T2^5 + 2267*T1^11*T2^5 - 153*T1^12*T2^5 - 70*T1^13*T2^5 + 
     34*T2^6 + 324*T1*T2^6 - 1540*T1^2*T2^6 - 2682*T1^3*T2^6 + 
     18640*T1^4*T2^6 - 14505*T1^5*T2^6 - 34695*T1^6*T2^6 + 57077*T1^7*T2^6 - 
     34695*T1^8*T2^6 - 14505*T1^9*T2^6 + 18640*T1^10*T2^6 - 2682*T1^11*T2^6 - 
     1540*T1^12*T2^6 + 324*T1^13*T2^6 + 34*T1^14*T2^6 - 9*T2^7 - 
     225*T1*T2^7 + 60*T1^2*T2^7 + 5550*T1^3*T2^7 - 11779*T1^4*T2^7 - 
     14505*T1^5*T2^7 + 57077*T1^6*T2^7 - 27766*T1^7*T2^7 - 27766*T1^8*T2^7 + 
     57077*T1^9*T2^7 - 14505*T1^10*T2^7 - 11779*T1^11*T2^7 + 
     5550*T1^12*T2^7 + 60*T1^13*T2^7 - 225*T1^14*T2^7 - 9*T1^15*T2^7 + T2^8 + 
     72*T1*T2^8 + 463*T1^2*T2^8 - 2806*T1^3*T2^8 - 2774*T1^4*T2^8 + 
     30104*T1^5*T2^8 - 34695*T1^6*T2^8 - 27766*T1^7*T2^8 + 55920*T1^8*T2^8 - 
     27766*T1^9*T2^8 - 34695*T1^10*T2^8 + 30104*T1^11*T2^8 - 
     2774*T1^12*T2^8 - 2806*T1^13*T2^8 + 463*T1^14*T2^8 + 72*T1^15*T2^8 + 
     T1^16*T2^8 - 9*T1*T2^9 - 225*T1^2*T2^9 + 60*T1^3*T2^9 + 5550*T1^4*T2^9 - 
     11779*T1^5*T2^9 - 14505*T1^6*T2^9 + 57077*T1^7*T2^9 - 27766*T1^8*T2^9 - 
     27766*T1^9*T2^9 + 57077*T1^10*T2^9 - 14505*T1^11*T2^9 - 
     11779*T1^12*T2^9 + 5550*T1^13*T2^9 + 60*T1^14*T2^9 - 225*T1^15*T2^9 - 
     9*T1^16*T2^9 + 34*T1^2*T2^10 + 324*T1^3*T2^10 - 1540*T1^4*T2^10 - 
     2682*T1^5*T2^10 + 18640*T1^6*T2^10 - 14505*T1^7*T2^10 - 
     34695*T1^8*T2^10 + 57077*T1^9*T2^10 - 34695*T1^10*T2^10 - 
     14505*T1^11*T2^10 + 18640*T1^12*T2^10 - 2682*T1^13*T2^10 - 
     1540*T1^14*T2^10 + 324*T1^15*T2^10 + 34*T1^16*T2^10 - 70*T1^3*T2^11 - 
     153*T1^4*T2^11 + 2267*T1^5*T2^11 - 2682*T1^6*T2^11 - 11779*T1^7*T2^11 + 
     30104*T1^8*T2^11 - 14505*T1^9*T2^11 - 14505*T1^10*T2^11 + 
     30104*T1^11*T2^11 - 11779*T1^12*T2^11 - 2682*T1^13*T2^11 + 
     2267*T1^14*T2^11 - 153*T1^15*T2^11 - 70*T1^16*T2^11 + 87*T1^4*T2^12 - 
     153*T1^5*T2^12 - 1540*T1^6*T2^12 + 5550*T1^7*T2^12 - 2774*T1^8*T2^12 - 
     11779*T1^9*T2^12 + 18640*T1^10*T2^12 - 11779*T1^11*T2^12 - 
     2774*T1^12*T2^12 + 5550*T1^13*T2^12 - 1540*T1^14*T2^12 - 
     153*T1^15*T2^12 + 87*T1^16*T2^12 - 70*T1^5*T2^13 + 324*T1^6*T2^13 + 
     60*T1^7*T2^13 - 2806*T1^8*T2^13 + 5550*T1^9*T2^13 - 2682*T1^10*T2^13 - 
     2682*T1^11*T2^13 + 5550*T1^12*T2^13 - 2806*T1^13*T2^13 + 
     60*T1^14*T2^13 + 324*T1^15*T2^13 - 70*T1^16*T2^13 + 34*T1^6*T2^14 - 
     225*T1^7*T2^14 + 463*T1^8*T2^14 + 60*T1^9*T2^14 - 1540*T1^10*T2^14 + 
     2267*T1^11*T2^14 - 1540*T1^12*T2^14 + 60*T1^13*T2^14 + 463*T1^14*T2^14 - 
     225*T1^15*T2^14 + 34*T1^16*T2^14 - 9*T1^7*T2^15 + 72*T1^8*T2^15 - 
     225*T1^9*T2^15 + 324*T1^10*T2^15 - 153*T1^11*T2^15 - 153*T1^12*T2^15 + 
     324*T1^13*T2^15 - 225*T1^14*T2^15 + 72*T1^15*T2^15 - 9*T1^16*T2^15 + 
     T1^8*T2^16 - 9*T1^9*T2^16 + 34*T1^10*T2^16 - 70*T1^11*T2^16 + 
     87*T1^12*T2^16 - 70*T1^13*T2^16 + 34*T1^14*T2^16 - 9*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, 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), -((9 - 35*T1 + 73*T1^2 - 115*T1^3 + 131*T1^4 - 115*T1^5 + 
      73*T1^6 - 35*T1^7 + 9*T1^8 - 35*T2 + 102*T1*T2 - 150*T1^2*T2 + 
      166*T1^3*T2 - 64*T1^4*T2 - 64*T1^5*T2 + 166*T1^6*T2 - 150*T1^7*T2 + 
      102*T1^8*T2 - 35*T1^9*T2 + 73*T2^2 - 150*T1*T2^2 + 136*T1^2*T2^2 - 
      104*T1^3*T2^2 - 112*T1^4*T2^2 + 164*T1^5*T2^2 - 112*T1^6*T2^2 - 
      104*T1^7*T2^2 + 136*T1^8*T2^2 - 150*T1^9*T2^2 + 73*T1^10*T2^2 - 
      115*T2^3 + 166*T1*T2^3 - 104*T1^2*T2^3 + 132*T1^3*T2^3 + 
      158*T1^4*T2^3 - 28*T1^5*T2^3 - 28*T1^6*T2^3 + 158*T1^7*T2^3 + 
      132*T1^8*T2^3 - 104*T1^9*T2^3 + 166*T1^10*T2^3 - 115*T1^11*T2^3 + 
      131*T2^4 - 64*T1*T2^4 - 112*T1^2*T2^4 + 158*T1^3*T2^4 - 747*T1^4*T2^4 + 
      481*T1^5*T2^4 - 589*T1^6*T2^4 + 481*T1^7*T2^4 - 747*T1^8*T2^4 + 
      158*T1^9*T2^4 - 112*T1^10*T2^4 - 64*T1^11*T2^4 + 131*T1^12*T2^4 - 
      115*T2^5 - 64*T1*T2^5 + 164*T1^2*T2^5 - 28*T1^3*T2^5 + 481*T1^4*T2^5 + 
      320*T1^5*T2^5 + 12*T1^6*T2^5 + 12*T1^7*T2^5 + 320*T1^8*T2^5 + 
      481*T1^9*T2^5 - 28*T1^10*T2^5 + 164*T1^11*T2^5 - 64*T1^12*T2^5 - 
      115*T1^13*T2^5 + 73*T2^6 + 166*T1*T2^6 - 112*T1^2*T2^6 - 28*T1^3*T2^6 - 
      589*T1^4*T2^6 + 12*T1^5*T2^6 - 1279*T1^6*T2^6 + 1299*T1^7*T2^6 - 
      1279*T1^8*T2^6 + 12*T1^9*T2^6 - 589*T1^10*T2^6 - 28*T1^11*T2^6 - 
      112*T1^12*T2^6 + 166*T1^13*T2^6 + 73*T1^14*T2^6 - 35*T2^7 - 
      150*T1*T2^7 - 104*T1^2*T2^7 + 158*T1^3*T2^7 + 481*T1^4*T2^7 + 
      12*T1^5*T2^7 + 1299*T1^6*T2^7 - 296*T1^7*T2^7 - 296*T1^8*T2^7 + 
      1299*T1^9*T2^7 + 12*T1^10*T2^7 + 481*T1^11*T2^7 + 158*T1^12*T2^7 - 
      104*T1^13*T2^7 - 150*T1^14*T2^7 - 35*T1^15*T2^7 + 9*T2^8 + 
      102*T1*T2^8 + 136*T1^2*T2^8 + 132*T1^3*T2^8 - 747*T1^4*T2^8 + 
      320*T1^5*T2^8 - 1279*T1^6*T2^8 - 296*T1^7*T2^8 + 324*T1^8*T2^8 - 
      296*T1^9*T2^8 - 1279*T1^10*T2^8 + 320*T1^11*T2^8 - 747*T1^12*T2^8 + 
      132*T1^13*T2^8 + 136*T1^14*T2^8 + 102*T1^15*T2^8 + 9*T1^16*T2^8 - 
      35*T1*T2^9 - 150*T1^2*T2^9 - 104*T1^3*T2^9 + 158*T1^4*T2^9 + 
      481*T1^5*T2^9 + 12*T1^6*T2^9 + 1299*T1^7*T2^9 - 296*T1^8*T2^9 - 
      296*T1^9*T2^9 + 1299*T1^10*T2^9 + 12*T1^11*T2^9 + 481*T1^12*T2^9 + 
      158*T1^13*T2^9 - 104*T1^14*T2^9 - 150*T1^15*T2^9 - 35*T1^16*T2^9 + 
      73*T1^2*T2^10 + 166*T1^3*T2^10 - 112*T1^4*T2^10 - 28*T1^5*T2^10 - 
      589*T1^6*T2^10 + 12*T1^7*T2^10 - 1279*T1^8*T2^10 + 1299*T1^9*T2^10 - 
      1279*T1^10*T2^10 + 12*T1^11*T2^10 - 589*T1^12*T2^10 - 28*T1^13*T2^10 - 
      112*T1^14*T2^10 + 166*T1^15*T2^10 + 73*T1^16*T2^10 - 115*T1^3*T2^11 - 
      64*T1^4*T2^11 + 164*T1^5*T2^11 - 28*T1^6*T2^11 + 481*T1^7*T2^11 + 
      320*T1^8*T2^11 + 12*T1^9*T2^11 + 12*T1^10*T2^11 + 320*T1^11*T2^11 + 
      481*T1^12*T2^11 - 28*T1^13*T2^11 + 164*T1^14*T2^11 - 64*T1^15*T2^11 - 
      115*T1^16*T2^11 + 131*T1^4*T2^12 - 64*T1^5*T2^12 - 112*T1^6*T2^12 + 
      158*T1^7*T2^12 - 747*T1^8*T2^12 + 481*T1^9*T2^12 - 589*T1^10*T2^12 + 
      481*T1^11*T2^12 - 747*T1^12*T2^12 + 158*T1^13*T2^12 - 112*T1^14*T2^12 - 
      64*T1^15*T2^12 + 131*T1^16*T2^12 - 115*T1^5*T2^13 + 166*T1^6*T2^13 - 
      104*T1^7*T2^13 + 132*T1^8*T2^13 + 158*T1^9*T2^13 - 28*T1^10*T2^13 - 
      28*T1^11*T2^13 + 158*T1^12*T2^13 + 132*T1^13*T2^13 - 104*T1^14*T2^13 + 
      166*T1^15*T2^13 - 115*T1^16*T2^13 + 73*T1^6*T2^14 - 150*T1^7*T2^14 + 
      136*T1^8*T2^14 - 104*T1^9*T2^14 - 112*T1^10*T2^14 + 164*T1^11*T2^14 - 
      112*T1^12*T2^14 - 104*T1^13*T2^14 + 136*T1^14*T2^14 - 150*T1^15*T2^14 + 
      73*T1^16*T2^14 - 35*T1^7*T2^15 + 102*T1^8*T2^15 - 150*T1^9*T2^15 + 
      166*T1^10*T2^15 - 64*T1^11*T2^15 - 64*T1^12*T2^15 + 166*T1^13*T2^15 - 
      150*T1^14*T2^15 + 102*T1^15*T2^15 - 35*T1^16*T2^15 + 9*T1^8*T2^16 - 
      35*T1^9*T2^16 + 73*T1^10*T2^16 - 115*T1^11*T2^16 + 131*T1^12*T2^16 - 
      115*T1^13*T2^16 + 73*T1^14*T2^16 - 35*T1^15*T2^16 + 9*T1^16*T2^16)/
     (T1^8*T2^8))}, 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), (7 - 29*T1 + 55*T1^2 - 69*T1^3 + 69*T1^4 - 69*T1^5 + 55*T1^6 - 
     29*T1^7 + 7*T1^8 - 29*T2 + 90*T1*T2 - 106*T1^2*T2 + 58*T1^3*T2 + 
     58*T1^6*T2 - 106*T1^7*T2 + 90*T1^8*T2 - 29*T1^9*T2 + 55*T2^2 - 
     106*T1*T2^2 - 10*T1^2*T2^2 + 178*T1^3*T2^2 - 242*T1^4*T2^2 + 
     148*T1^5*T2^2 - 242*T1^6*T2^2 + 178*T1^7*T2^2 - 10*T1^8*T2^2 - 
     106*T1^9*T2^2 + 55*T1^10*T2^2 - 69*T2^3 + 58*T1*T2^3 + 178*T1^2*T2^3 - 
     284*T1^3*T2^3 + 166*T1^4*T2^3 + 74*T1^5*T2^3 + 74*T1^6*T2^3 + 
     166*T1^7*T2^3 - 284*T1^8*T2^3 + 178*T1^9*T2^3 + 58*T1^10*T2^3 - 
     69*T1^11*T2^3 + 69*T2^4 - 242*T1^2*T2^4 + 166*T1^3*T2^4 + 66*T1^4*T2^4 - 
     236*T1^5*T2^4 - 52*T1^6*T2^4 - 236*T1^7*T2^4 + 66*T1^8*T2^4 + 
     166*T1^9*T2^4 - 242*T1^10*T2^4 + 69*T1^12*T2^4 - 69*T2^5 + 
     148*T1^2*T2^5 + 74*T1^3*T2^5 - 236*T1^4*T2^5 + 186*T1^5*T2^5 + 
     138*T1^6*T2^5 + 138*T1^7*T2^5 + 186*T1^8*T2^5 - 236*T1^9*T2^5 + 
     74*T1^10*T2^5 + 148*T1^11*T2^5 - 69*T1^13*T2^5 + 55*T2^6 + 58*T1*T2^6 - 
     242*T1^2*T2^6 + 74*T1^3*T2^6 - 52*T1^4*T2^6 + 138*T1^5*T2^6 - 
     217*T1^6*T2^6 - 57*T1^7*T2^6 - 217*T1^8*T2^6 + 138*T1^9*T2^6 - 
     52*T1^10*T2^6 + 74*T1^11*T2^6 - 242*T1^12*T2^6 + 58*T1^13*T2^6 + 
     55*T1^14*T2^6 - 29*T2^7 - 106*T1*T2^7 + 178*T1^2*T2^7 + 166*T1^3*T2^7 - 
     236*T1^4*T2^7 + 138*T1^5*T2^7 - 57*T1^6*T2^7 + 104*T1^7*T2^7 + 
     104*T1^8*T2^7 - 57*T1^9*T2^7 + 138*T1^10*T2^7 - 236*T1^11*T2^7 + 
     166*T1^12*T2^7 + 178*T1^13*T2^7 - 106*T1^14*T2^7 - 29*T1^15*T2^7 + 
     7*T2^8 + 90*T1*T2^8 - 10*T1^2*T2^8 - 284*T1^3*T2^8 + 66*T1^4*T2^8 + 
     186*T1^5*T2^8 - 217*T1^6*T2^8 + 104*T1^7*T2^8 - 144*T1^8*T2^8 + 
     104*T1^9*T2^8 - 217*T1^10*T2^8 + 186*T1^11*T2^8 + 66*T1^12*T2^8 - 
     284*T1^13*T2^8 - 10*T1^14*T2^8 + 90*T1^15*T2^8 + 7*T1^16*T2^8 - 
     29*T1*T2^9 - 106*T1^2*T2^9 + 178*T1^3*T2^9 + 166*T1^4*T2^9 - 
     236*T1^5*T2^9 + 138*T1^6*T2^9 - 57*T1^7*T2^9 + 104*T1^8*T2^9 + 
     104*T1^9*T2^9 - 57*T1^10*T2^9 + 138*T1^11*T2^9 - 236*T1^12*T2^9 + 
     166*T1^13*T2^9 + 178*T1^14*T2^9 - 106*T1^15*T2^9 - 29*T1^16*T2^9 + 
     55*T1^2*T2^10 + 58*T1^3*T2^10 - 242*T1^4*T2^10 + 74*T1^5*T2^10 - 
     52*T1^6*T2^10 + 138*T1^7*T2^10 - 217*T1^8*T2^10 - 57*T1^9*T2^10 - 
     217*T1^10*T2^10 + 138*T1^11*T2^10 - 52*T1^12*T2^10 + 74*T1^13*T2^10 - 
     242*T1^14*T2^10 + 58*T1^15*T2^10 + 55*T1^16*T2^10 - 69*T1^3*T2^11 + 
     148*T1^5*T2^11 + 74*T1^6*T2^11 - 236*T1^7*T2^11 + 186*T1^8*T2^11 + 
     138*T1^9*T2^11 + 138*T1^10*T2^11 + 186*T1^11*T2^11 - 236*T1^12*T2^11 + 
     74*T1^13*T2^11 + 148*T1^14*T2^11 - 69*T1^16*T2^11 + 69*T1^4*T2^12 - 
     242*T1^6*T2^12 + 166*T1^7*T2^12 + 66*T1^8*T2^12 - 236*T1^9*T2^12 - 
     52*T1^10*T2^12 - 236*T1^11*T2^12 + 66*T1^12*T2^12 + 166*T1^13*T2^12 - 
     242*T1^14*T2^12 + 69*T1^16*T2^12 - 69*T1^5*T2^13 + 58*T1^6*T2^13 + 
     178*T1^7*T2^13 - 284*T1^8*T2^13 + 166*T1^9*T2^13 + 74*T1^10*T2^13 + 
     74*T1^11*T2^13 + 166*T1^12*T2^13 - 284*T1^13*T2^13 + 178*T1^14*T2^13 + 
     58*T1^15*T2^13 - 69*T1^16*T2^13 + 55*T1^6*T2^14 - 106*T1^7*T2^14 - 
     10*T1^8*T2^14 + 178*T1^9*T2^14 - 242*T1^10*T2^14 + 148*T1^11*T2^14 - 
     242*T1^12*T2^14 + 178*T1^13*T2^14 - 10*T1^14*T2^14 - 106*T1^15*T2^14 + 
     55*T1^16*T2^14 - 29*T1^7*T2^15 + 90*T1^8*T2^15 - 106*T1^9*T2^15 + 
     58*T1^10*T2^15 + 58*T1^13*T2^15 - 106*T1^14*T2^15 + 90*T1^15*T2^15 - 
     29*T1^16*T2^15 + 7*T1^8*T2^16 - 29*T1^9*T2^16 + 55*T1^10*T2^16 - 
     69*T1^11*T2^16 + 69*T1^12*T2^16 - 69*T1^13*T2^16 + 55*T1^14*T2^16 - 
     29*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 715] -> 
  {-(((-2 + 4*T - 5*T^2 + 2*T^3)*(-2 + 5*T - 4*T^2 + 2*T^3))/T^3), 
   -((4*T1 - 8*T1^2 + 8*T1^3 - 8*T1^4 + 4*T1^5 + 4*T2 - 26*T1*T2 + 
      28*T1^2*T2 - 8*T1^3*T2 - 8*T1^4*T2 + 28*T1^5*T2 - 26*T1^6*T2 + 
      4*T1^7*T2 - 8*T2^2 + 28*T1*T2^2 + 89*T1^2*T2^2 - 277*T1^3*T2^2 + 
      347*T1^4*T2^2 - 277*T1^5*T2^2 + 89*T1^6*T2^2 + 28*T1^7*T2^2 - 
      8*T1^8*T2^2 + 8*T2^3 - 8*T1*T2^3 - 277*T1^2*T2^3 + 508*T1^3*T2^3 - 
      222*T1^4*T2^3 - 222*T1^5*T2^3 + 508*T1^6*T2^3 - 277*T1^7*T2^3 - 
      8*T1^8*T2^3 + 8*T1^9*T2^3 - 8*T2^4 - 8*T1*T2^4 + 347*T1^2*T2^4 - 
      222*T1^3*T2^4 - 701*T1^4*T2^4 + 1043*T1^5*T2^4 - 701*T1^6*T2^4 - 
      222*T1^7*T2^4 + 347*T1^8*T2^4 - 8*T1^9*T2^4 - 8*T1^10*T2^4 + 4*T2^5 + 
      28*T1*T2^5 - 277*T1^2*T2^5 - 222*T1^3*T2^5 + 1043*T1^4*T2^5 - 
      414*T1^5*T2^5 - 414*T1^6*T2^5 + 1043*T1^7*T2^5 - 222*T1^8*T2^5 - 
      277*T1^9*T2^5 + 28*T1^10*T2^5 + 4*T1^11*T2^5 - 26*T1*T2^6 + 
      89*T1^2*T2^6 + 508*T1^3*T2^6 - 701*T1^4*T2^6 - 414*T1^5*T2^6 + 
      672*T1^6*T2^6 - 414*T1^7*T2^6 - 701*T1^8*T2^6 + 508*T1^9*T2^6 + 
      89*T1^10*T2^6 - 26*T1^11*T2^6 + 4*T1*T2^7 + 28*T1^2*T2^7 - 
      277*T1^3*T2^7 - 222*T1^4*T2^7 + 1043*T1^5*T2^7 - 414*T1^6*T2^7 - 
      414*T1^7*T2^7 + 1043*T1^8*T2^7 - 222*T1^9*T2^7 - 277*T1^10*T2^7 + 
      28*T1^11*T2^7 + 4*T1^12*T2^7 - 8*T1^2*T2^8 - 8*T1^3*T2^8 + 
      347*T1^4*T2^8 - 222*T1^5*T2^8 - 701*T1^6*T2^8 + 1043*T1^7*T2^8 - 
      701*T1^8*T2^8 - 222*T1^9*T2^8 + 347*T1^10*T2^8 - 8*T1^11*T2^8 - 
      8*T1^12*T2^8 + 8*T1^3*T2^9 - 8*T1^4*T2^9 - 277*T1^5*T2^9 + 
      508*T1^6*T2^9 - 222*T1^7*T2^9 - 222*T1^8*T2^9 + 508*T1^9*T2^9 - 
      277*T1^10*T2^9 - 8*T1^11*T2^9 + 8*T1^12*T2^9 - 8*T1^4*T2^10 + 
      28*T1^5*T2^10 + 89*T1^6*T2^10 - 277*T1^7*T2^10 + 347*T1^8*T2^10 - 
      277*T1^9*T2^10 + 89*T1^10*T2^10 + 28*T1^11*T2^10 - 8*T1^12*T2^10 + 
      4*T1^5*T2^11 - 26*T1^6*T2^11 + 28*T1^7*T2^11 - 8*T1^8*T2^11 - 
      8*T1^9*T2^11 + 28*T1^10*T2^11 - 26*T1^11*T2^11 + 4*T1^12*T2^11 + 
      4*T1^7*T2^12 - 8*T1^8*T2^12 + 8*T1^9*T2^12 - 8*T1^10*T2^12 + 
      4*T1^11*T2^12)/(T1^6*T2^6))}, 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, -((3 - 9*T1 + 15*T1^2 - 15*T1^3 + 15*T1^4 - 15*T1^5 + 
      15*T1^6 - 15*T1^7 + 15*T1^8 - 9*T1^9 + 3*T1^10 - 9*T2 + 18*T1*T2 - 
      18*T1^2*T2 - 18*T1^9*T2 + 18*T1^10*T2 - 9*T1^11*T2 + 15*T2^2 - 
      18*T1*T2^2 + 9*T1^2*T2^2 + 17*T1^3*T2^2 + 11*T1^4*T2^2 - 11*T1^5*T2^2 + 
      11*T1^6*T2^2 - 11*T1^7*T2^2 + 11*T1^8*T2^2 + 17*T1^9*T2^2 + 
      9*T1^10*T2^2 - 18*T1^11*T2^2 + 15*T1^12*T2^2 - 15*T2^3 + 17*T1^2*T2^3 - 
      36*T1^3*T2^3 - 24*T1^4*T2^3 - 24*T1^9*T2^3 - 36*T1^10*T2^3 + 
      17*T1^11*T2^3 - 15*T1^13*T2^3 + 15*T2^4 + 11*T1^2*T2^4 - 24*T1^3*T2^4 + 
      101*T1^4*T2^4 - 47*T1^5*T2^4 + 65*T1^6*T2^4 - 65*T1^7*T2^4 + 
      65*T1^8*T2^4 - 47*T1^9*T2^4 + 101*T1^10*T2^4 - 24*T1^11*T2^4 + 
      11*T1^12*T2^4 + 15*T1^14*T2^4 - 15*T2^5 - 11*T1^2*T2^5 - 47*T1^4*T2^5 - 
      26*T1^5*T2^5 - 14*T1^6*T2^5 - 14*T1^9*T2^5 - 26*T1^10*T2^5 - 
      47*T1^11*T2^5 - 11*T1^13*T2^5 - 15*T1^15*T2^5 + 15*T2^6 + 
      11*T1^2*T2^6 + 65*T1^4*T2^6 - 14*T1^5*T2^6 + 66*T1^6*T2^6 - 
      32*T1^7*T2^6 + 40*T1^8*T2^6 - 32*T1^9*T2^6 + 66*T1^10*T2^6 - 
      14*T1^11*T2^6 + 65*T1^12*T2^6 + 11*T1^14*T2^6 + 15*T1^16*T2^6 - 
      15*T2^7 - 11*T1^2*T2^7 - 65*T1^4*T2^7 - 32*T1^6*T2^7 - 16*T1^7*T2^7 - 
      4*T1^8*T2^7 - 4*T1^9*T2^7 - 16*T1^10*T2^7 - 32*T1^11*T2^7 - 
      65*T1^13*T2^7 - 11*T1^15*T2^7 - 15*T1^17*T2^7 + 15*T2^8 + 
      11*T1^2*T2^8 + 65*T1^4*T2^8 + 40*T1^6*T2^8 - 4*T1^7*T2^8 + 
      31*T1^8*T2^8 - 19*T1^9*T2^8 + 31*T1^10*T2^8 - 4*T1^11*T2^8 + 
      40*T1^12*T2^8 + 65*T1^14*T2^8 + 11*T1^16*T2^8 + 15*T1^18*T2^8 - 
      9*T2^9 - 18*T1*T2^9 + 17*T1^2*T2^9 - 24*T1^3*T2^9 - 47*T1^4*T2^9 - 
      14*T1^5*T2^9 - 32*T1^6*T2^9 - 4*T1^7*T2^9 - 19*T1^8*T2^9 - 
      19*T1^11*T2^9 - 4*T1^12*T2^9 - 32*T1^13*T2^9 - 14*T1^14*T2^9 - 
      47*T1^15*T2^9 - 24*T1^16*T2^9 + 17*T1^17*T2^9 - 18*T1^18*T2^9 - 
      9*T1^19*T2^9 + 3*T2^10 + 18*T1*T2^10 + 9*T1^2*T2^10 - 36*T1^3*T2^10 + 
      101*T1^4*T2^10 - 26*T1^5*T2^10 + 66*T1^6*T2^10 - 16*T1^7*T2^10 + 
      31*T1^8*T2^10 + 31*T1^12*T2^10 - 16*T1^13*T2^10 + 66*T1^14*T2^10 - 
      26*T1^15*T2^10 + 101*T1^16*T2^10 - 36*T1^17*T2^10 + 9*T1^18*T2^10 + 
      18*T1^19*T2^10 + 3*T1^20*T2^10 - 9*T1*T2^11 - 18*T1^2*T2^11 + 
      17*T1^3*T2^11 - 24*T1^4*T2^11 - 47*T1^5*T2^11 - 14*T1^6*T2^11 - 
      32*T1^7*T2^11 - 4*T1^8*T2^11 - 19*T1^9*T2^11 - 19*T1^12*T2^11 - 
      4*T1^13*T2^11 - 32*T1^14*T2^11 - 14*T1^15*T2^11 - 47*T1^16*T2^11 - 
      24*T1^17*T2^11 + 17*T1^18*T2^11 - 18*T1^19*T2^11 - 9*T1^20*T2^11 + 
      15*T1^2*T2^12 + 11*T1^4*T2^12 + 65*T1^6*T2^12 + 40*T1^8*T2^12 - 
      4*T1^9*T2^12 + 31*T1^10*T2^12 - 19*T1^11*T2^12 + 31*T1^12*T2^12 - 
      4*T1^13*T2^12 + 40*T1^14*T2^12 + 65*T1^16*T2^12 + 11*T1^18*T2^12 + 
      15*T1^20*T2^12 - 15*T1^3*T2^13 - 11*T1^5*T2^13 - 65*T1^7*T2^13 - 
      32*T1^9*T2^13 - 16*T1^10*T2^13 - 4*T1^11*T2^13 - 4*T1^12*T2^13 - 
      16*T1^13*T2^13 - 32*T1^14*T2^13 - 65*T1^16*T2^13 - 11*T1^18*T2^13 - 
      15*T1^20*T2^13 + 15*T1^4*T2^14 + 11*T1^6*T2^14 + 65*T1^8*T2^14 - 
      14*T1^9*T2^14 + 66*T1^10*T2^14 - 32*T1^11*T2^14 + 40*T1^12*T2^14 - 
      32*T1^13*T2^14 + 66*T1^14*T2^14 - 14*T1^15*T2^14 + 65*T1^16*T2^14 + 
      11*T1^18*T2^14 + 15*T1^20*T2^14 - 15*T1^5*T2^15 - 11*T1^7*T2^15 - 
      47*T1^9*T2^15 - 26*T1^10*T2^15 - 14*T1^11*T2^15 - 14*T1^14*T2^15 - 
      26*T1^15*T2^15 - 47*T1^16*T2^15 - 11*T1^18*T2^15 - 15*T1^20*T2^15 + 
      15*T1^6*T2^16 + 11*T1^8*T2^16 - 24*T1^9*T2^16 + 101*T1^10*T2^16 - 
      47*T1^11*T2^16 + 65*T1^12*T2^16 - 65*T1^13*T2^16 + 65*T1^14*T2^16 - 
      47*T1^15*T2^16 + 101*T1^16*T2^16 - 24*T1^17*T2^16 + 11*T1^18*T2^16 + 
      15*T1^20*T2^16 - 15*T1^7*T2^17 + 17*T1^9*T2^17 - 36*T1^10*T2^17 - 
      24*T1^11*T2^17 - 24*T1^16*T2^17 - 36*T1^17*T2^17 + 17*T1^18*T2^17 - 
      15*T1^20*T2^17 + 15*T1^8*T2^18 - 18*T1^9*T2^18 + 9*T1^10*T2^18 + 
      17*T1^11*T2^18 + 11*T1^12*T2^18 - 11*T1^13*T2^18 + 11*T1^14*T2^18 - 
      11*T1^15*T2^18 + 11*T1^16*T2^18 + 17*T1^17*T2^18 + 9*T1^18*T2^18 - 
      18*T1^19*T2^18 + 15*T1^20*T2^18 - 9*T1^9*T2^19 + 18*T1^10*T2^19 - 
      18*T1^11*T2^19 - 18*T1^18*T2^19 + 18*T1^19*T2^19 - 9*T1^20*T2^19 + 
      3*T1^10*T2^20 - 9*T1^11*T2^20 + 15*T1^12*T2^20 - 15*T1^13*T2^20 + 
      15*T1^14*T2^20 - 15*T1^15*T2^20 + 15*T1^16*T2^20 - 15*T1^17*T2^20 + 
      15*T1^18*T2^20 - 9*T1^19*T2^20 + 3*T1^20*T2^20)/(T1^10*T2^10))}, 
 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, -((17 - 59*T1 + 109*T1^2 - 125*T1^3 + 125*T1^4 - 125*T1^5 + 
      109*T1^6 - 59*T1^7 + 17*T1^8 - 59*T2 + 146*T1*T2 - 174*T1^2*T2 + 
      56*T1^3*T2 + 56*T1^6*T2 - 174*T1^7*T2 + 146*T1^8*T2 - 59*T1^9*T2 + 
      109*T2^2 - 174*T1*T2^2 + 97*T1^2*T2^2 + 151*T1^3*T2^2 - 49*T1^4*T2^2 - 
      47*T1^5*T2^2 - 49*T1^6*T2^2 + 151*T1^7*T2^2 + 97*T1^8*T2^2 - 
      174*T1^9*T2^2 + 109*T1^10*T2^2 - 125*T2^3 + 56*T1*T2^3 + 
      151*T1^2*T2^3 - 386*T1^3*T2^3 - 42*T1^4*T2^3 + 92*T1^5*T2^3 + 
      92*T1^6*T2^3 - 42*T1^7*T2^3 - 386*T1^8*T2^3 + 151*T1^9*T2^3 + 
      56*T1^10*T2^3 - 125*T1^11*T2^3 + 125*T2^4 - 49*T1^2*T2^4 - 
      42*T1^3*T2^4 + 769*T1^4*T2^4 - 559*T1^5*T2^4 + 367*T1^6*T2^4 - 
      559*T1^7*T2^4 + 769*T1^8*T2^4 - 42*T1^9*T2^4 - 49*T1^10*T2^4 + 
      125*T1^12*T2^4 - 125*T2^5 - 47*T1^2*T2^5 + 92*T1^3*T2^5 - 
      559*T1^4*T2^5 - 44*T1^5*T2^5 + 104*T1^6*T2^5 + 104*T1^7*T2^5 - 
      44*T1^8*T2^5 - 559*T1^9*T2^5 + 92*T1^10*T2^5 - 47*T1^11*T2^5 - 
      125*T1^13*T2^5 + 109*T2^6 + 56*T1*T2^6 - 49*T1^2*T2^6 + 92*T1^3*T2^6 + 
      367*T1^4*T2^6 + 104*T1^5*T2^6 + 143*T1^6*T2^6 - 281*T1^7*T2^6 + 
      143*T1^8*T2^6 + 104*T1^9*T2^6 + 367*T1^10*T2^6 + 92*T1^11*T2^6 - 
      49*T1^12*T2^6 + 56*T1^13*T2^6 + 109*T1^14*T2^6 - 59*T2^7 - 
      174*T1*T2^7 + 151*T1^2*T2^7 - 42*T1^3*T2^7 - 559*T1^4*T2^7 + 
      104*T1^5*T2^7 - 281*T1^6*T2^7 + 122*T1^7*T2^7 + 122*T1^8*T2^7 - 
      281*T1^9*T2^7 + 104*T1^10*T2^7 - 559*T1^11*T2^7 - 42*T1^12*T2^7 + 
      151*T1^13*T2^7 - 174*T1^14*T2^7 - 59*T1^15*T2^7 + 17*T2^8 + 
      146*T1*T2^8 + 97*T1^2*T2^8 - 386*T1^3*T2^8 + 769*T1^4*T2^8 - 
      44*T1^5*T2^8 + 143*T1^6*T2^8 + 122*T1^7*T2^8 - 216*T1^8*T2^8 + 
      122*T1^9*T2^8 + 143*T1^10*T2^8 - 44*T1^11*T2^8 + 769*T1^12*T2^8 - 
      386*T1^13*T2^8 + 97*T1^14*T2^8 + 146*T1^15*T2^8 + 17*T1^16*T2^8 - 
      59*T1*T2^9 - 174*T1^2*T2^9 + 151*T1^3*T2^9 - 42*T1^4*T2^9 - 
      559*T1^5*T2^9 + 104*T1^6*T2^9 - 281*T1^7*T2^9 + 122*T1^8*T2^9 + 
      122*T1^9*T2^9 - 281*T1^10*T2^9 + 104*T1^11*T2^9 - 559*T1^12*T2^9 - 
      42*T1^13*T2^9 + 151*T1^14*T2^9 - 174*T1^15*T2^9 - 59*T1^16*T2^9 + 
      109*T1^2*T2^10 + 56*T1^3*T2^10 - 49*T1^4*T2^10 + 92*T1^5*T2^10 + 
      367*T1^6*T2^10 + 104*T1^7*T2^10 + 143*T1^8*T2^10 - 281*T1^9*T2^10 + 
      143*T1^10*T2^10 + 104*T1^11*T2^10 + 367*T1^12*T2^10 + 92*T1^13*T2^10 - 
      49*T1^14*T2^10 + 56*T1^15*T2^10 + 109*T1^16*T2^10 - 125*T1^3*T2^11 - 
      47*T1^5*T2^11 + 92*T1^6*T2^11 - 559*T1^7*T2^11 - 44*T1^8*T2^11 + 
      104*T1^9*T2^11 + 104*T1^10*T2^11 - 44*T1^11*T2^11 - 559*T1^12*T2^11 + 
      92*T1^13*T2^11 - 47*T1^14*T2^11 - 125*T1^16*T2^11 + 125*T1^4*T2^12 - 
      49*T1^6*T2^12 - 42*T1^7*T2^12 + 769*T1^8*T2^12 - 559*T1^9*T2^12 + 
      367*T1^10*T2^12 - 559*T1^11*T2^12 + 769*T1^12*T2^12 - 42*T1^13*T2^12 - 
      49*T1^14*T2^12 + 125*T1^16*T2^12 - 125*T1^5*T2^13 + 56*T1^6*T2^13 + 
      151*T1^7*T2^13 - 386*T1^8*T2^13 - 42*T1^9*T2^13 + 92*T1^10*T2^13 + 
      92*T1^11*T2^13 - 42*T1^12*T2^13 - 386*T1^13*T2^13 + 151*T1^14*T2^13 + 
      56*T1^15*T2^13 - 125*T1^16*T2^13 + 109*T1^6*T2^14 - 174*T1^7*T2^14 + 
      97*T1^8*T2^14 + 151*T1^9*T2^14 - 49*T1^10*T2^14 - 47*T1^11*T2^14 - 
      49*T1^12*T2^14 + 151*T1^13*T2^14 + 97*T1^14*T2^14 - 174*T1^15*T2^14 + 
      109*T1^16*T2^14 - 59*T1^7*T2^15 + 146*T1^8*T2^15 - 174*T1^9*T2^15 + 
      56*T1^10*T2^15 + 56*T1^13*T2^15 - 174*T1^14*T2^15 + 146*T1^15*T2^15 - 
      59*T1^16*T2^15 + 17*T1^8*T2^16 - 59*T1^9*T2^16 + 109*T1^10*T2^16 - 
      125*T1^11*T2^16 + 125*T1^12*T2^16 - 125*T1^13*T2^16 + 109*T1^14*T2^16 - 
      59*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   -((17 - 67*T1 + 149*T1^2 - 221*T1^3 + 253*T1^4 - 221*T1^5 + 149*T1^6 - 
      67*T1^7 + 17*T1^8 - 67*T2 + 198*T1*T2 - 326*T1^2*T2 + 288*T1^3*T2 - 
      128*T1^4*T2 - 128*T1^5*T2 + 288*T1^6*T2 - 326*T1^7*T2 + 198*T1^8*T2 - 
      67*T1^9*T2 + 149*T2^2 - 326*T1*T2^2 + 412*T1^2*T2^2 - 170*T1^3*T2^2 - 
      10*T1^4*T2^2 + 178*T1^5*T2^2 - 10*T1^6*T2^2 - 170*T1^7*T2^2 + 
      412*T1^8*T2^2 - 326*T1^9*T2^2 + 149*T1^10*T2^2 - 221*T2^3 + 
      288*T1*T2^3 - 170*T1^2*T2^3 - 334*T1^3*T2^3 + 288*T1^4*T2^3 - 
      248*T1^5*T2^3 - 248*T1^6*T2^3 + 288*T1^7*T2^3 - 334*T1^8*T2^3 - 
      170*T1^9*T2^3 + 288*T1^10*T2^3 - 221*T1^11*T2^3 + 253*T2^4 - 
      128*T1*T2^4 - 10*T1^2*T2^4 + 288*T1^3*T2^4 + 585*T1^4*T2^4 - 
      917*T1^5*T2^4 + 1509*T1^6*T2^4 - 917*T1^7*T2^4 + 585*T1^8*T2^4 + 
      288*T1^9*T2^4 - 10*T1^10*T2^4 - 128*T1^11*T2^4 + 253*T1^12*T2^4 - 
      221*T2^5 - 128*T1*T2^5 + 178*T1^2*T2^5 - 248*T1^3*T2^5 - 
      917*T1^4*T2^5 + 548*T1^5*T2^5 - 596*T1^6*T2^5 - 596*T1^7*T2^5 + 
      548*T1^8*T2^5 - 917*T1^9*T2^5 - 248*T1^10*T2^5 + 178*T1^11*T2^5 - 
      128*T1^12*T2^5 - 221*T1^13*T2^5 + 149*T2^6 + 288*T1*T2^6 - 
      10*T1^2*T2^6 - 248*T1^3*T2^6 + 1509*T1^4*T2^6 - 596*T1^5*T2^6 + 
      871*T1^6*T2^6 - 29*T1^7*T2^6 + 871*T1^8*T2^6 - 596*T1^9*T2^6 + 
      1509*T1^10*T2^6 - 248*T1^11*T2^6 - 10*T1^12*T2^6 + 288*T1^13*T2^6 + 
      149*T1^14*T2^6 - 67*T2^7 - 326*T1*T2^7 - 170*T1^2*T2^7 + 
      288*T1^3*T2^7 - 917*T1^4*T2^7 - 596*T1^5*T2^7 - 29*T1^6*T2^7 - 
      550*T1^7*T2^7 - 550*T1^8*T2^7 - 29*T1^9*T2^7 - 596*T1^10*T2^7 - 
      917*T1^11*T2^7 + 288*T1^12*T2^7 - 170*T1^13*T2^7 - 326*T1^14*T2^7 - 
      67*T1^15*T2^7 + 17*T2^8 + 198*T1*T2^8 + 412*T1^2*T2^8 - 334*T1^3*T2^8 + 
      585*T1^4*T2^8 + 548*T1^5*T2^8 + 871*T1^6*T2^8 - 550*T1^7*T2^8 + 
      1548*T1^8*T2^8 - 550*T1^9*T2^8 + 871*T1^10*T2^8 + 548*T1^11*T2^8 + 
      585*T1^12*T2^8 - 334*T1^13*T2^8 + 412*T1^14*T2^8 + 198*T1^15*T2^8 + 
      17*T1^16*T2^8 - 67*T1*T2^9 - 326*T1^2*T2^9 - 170*T1^3*T2^9 + 
      288*T1^4*T2^9 - 917*T1^5*T2^9 - 596*T1^6*T2^9 - 29*T1^7*T2^9 - 
      550*T1^8*T2^9 - 550*T1^9*T2^9 - 29*T1^10*T2^9 - 596*T1^11*T2^9 - 
      917*T1^12*T2^9 + 288*T1^13*T2^9 - 170*T1^14*T2^9 - 326*T1^15*T2^9 - 
      67*T1^16*T2^9 + 149*T1^2*T2^10 + 288*T1^3*T2^10 - 10*T1^4*T2^10 - 
      248*T1^5*T2^10 + 1509*T1^6*T2^10 - 596*T1^7*T2^10 + 871*T1^8*T2^10 - 
      29*T1^9*T2^10 + 871*T1^10*T2^10 - 596*T1^11*T2^10 + 1509*T1^12*T2^10 - 
      248*T1^13*T2^10 - 10*T1^14*T2^10 + 288*T1^15*T2^10 + 149*T1^16*T2^10 - 
      221*T1^3*T2^11 - 128*T1^4*T2^11 + 178*T1^5*T2^11 - 248*T1^6*T2^11 - 
      917*T1^7*T2^11 + 548*T1^8*T2^11 - 596*T1^9*T2^11 - 596*T1^10*T2^11 + 
      548*T1^11*T2^11 - 917*T1^12*T2^11 - 248*T1^13*T2^11 + 178*T1^14*T2^11 - 
      128*T1^15*T2^11 - 221*T1^16*T2^11 + 253*T1^4*T2^12 - 128*T1^5*T2^12 - 
      10*T1^6*T2^12 + 288*T1^7*T2^12 + 585*T1^8*T2^12 - 917*T1^9*T2^12 + 
      1509*T1^10*T2^12 - 917*T1^11*T2^12 + 585*T1^12*T2^12 + 
      288*T1^13*T2^12 - 10*T1^14*T2^12 - 128*T1^15*T2^12 + 253*T1^16*T2^12 - 
      221*T1^5*T2^13 + 288*T1^6*T2^13 - 170*T1^7*T2^13 - 334*T1^8*T2^13 + 
      288*T1^9*T2^13 - 248*T1^10*T2^13 - 248*T1^11*T2^13 + 288*T1^12*T2^13 - 
      334*T1^13*T2^13 - 170*T1^14*T2^13 + 288*T1^15*T2^13 - 221*T1^16*T2^13 + 
      149*T1^6*T2^14 - 326*T1^7*T2^14 + 412*T1^8*T2^14 - 170*T1^9*T2^14 - 
      10*T1^10*T2^14 + 178*T1^11*T2^14 - 10*T1^12*T2^14 - 170*T1^13*T2^14 + 
      412*T1^14*T2^14 - 326*T1^15*T2^14 + 149*T1^16*T2^14 - 67*T1^7*T2^15 + 
      198*T1^8*T2^15 - 326*T1^9*T2^15 + 288*T1^10*T2^15 - 128*T1^11*T2^15 - 
      128*T1^12*T2^15 + 288*T1^13*T2^15 - 326*T1^14*T2^15 + 198*T1^15*T2^15 - 
      67*T1^16*T2^15 + 17*T1^8*T2^16 - 67*T1^9*T2^16 + 149*T1^10*T2^16 - 
      221*T1^11*T2^16 + 253*T1^12*T2^16 - 221*T1^13*T2^16 + 149*T1^14*T2^16 - 
      67*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 719] -> {((1 - T + T^2)*(2 - 3*T + 2*T^2)^2)/T^3, 
   -((80 - 312*T1 + 632*T1^2 - 776*T1^3 + 632*T1^4 - 312*T1^5 + 80*T1^6 - 
      312*T2 + 908*T1*T2 - 1256*T1^2*T2 + 568*T1^3*T2 + 568*T1^4*T2 - 
      1256*T1^5*T2 + 908*T1^6*T2 - 312*T1^7*T2 + 632*T2^2 - 1256*T1*T2^2 + 
      882*T1^2*T2^2 + 1150*T1^3*T2^2 - 2094*T1^4*T2^2 + 1150*T1^5*T2^2 + 
      882*T1^6*T2^2 - 1256*T1^7*T2^2 + 632*T1^8*T2^2 - 776*T2^3 + 
      568*T1*T2^3 + 1150*T1^2*T2^3 - 3650*T1^3*T2^3 + 1798*T1^4*T2^3 + 
      1798*T1^5*T2^3 - 3650*T1^6*T2^3 + 1150*T1^7*T2^3 + 568*T1^8*T2^3 - 
      776*T1^9*T2^3 + 632*T2^4 + 568*T1*T2^4 - 2094*T1^2*T2^4 + 
      1798*T1^3*T2^4 + 4501*T1^4*T2^4 - 7523*T1^5*T2^4 + 4501*T1^6*T2^4 + 
      1798*T1^7*T2^4 - 2094*T1^8*T2^4 + 568*T1^9*T2^4 + 632*T1^10*T2^4 - 
      312*T2^5 - 1256*T1*T2^5 + 1150*T1^2*T2^5 + 1798*T1^3*T2^5 - 
      7523*T1^4*T2^5 + 3862*T1^5*T2^5 + 3862*T1^6*T2^5 - 7523*T1^7*T2^5 + 
      1798*T1^8*T2^5 + 1150*T1^9*T2^5 - 1256*T1^10*T2^5 - 312*T1^11*T2^5 + 
      80*T2^6 + 908*T1*T2^6 + 882*T1^2*T2^6 - 3650*T1^3*T2^6 + 
      4501*T1^4*T2^6 + 3862*T1^5*T2^6 - 8100*T1^6*T2^6 + 3862*T1^7*T2^6 + 
      4501*T1^8*T2^6 - 3650*T1^9*T2^6 + 882*T1^10*T2^6 + 908*T1^11*T2^6 + 
      80*T1^12*T2^6 - 312*T1*T2^7 - 1256*T1^2*T2^7 + 1150*T1^3*T2^7 + 
      1798*T1^4*T2^7 - 7523*T1^5*T2^7 + 3862*T1^6*T2^7 + 3862*T1^7*T2^7 - 
      7523*T1^8*T2^7 + 1798*T1^9*T2^7 + 1150*T1^10*T2^7 - 1256*T1^11*T2^7 - 
      312*T1^12*T2^7 + 632*T1^2*T2^8 + 568*T1^3*T2^8 - 2094*T1^4*T2^8 + 
      1798*T1^5*T2^8 + 4501*T1^6*T2^8 - 7523*T1^7*T2^8 + 4501*T1^8*T2^8 + 
      1798*T1^9*T2^8 - 2094*T1^10*T2^8 + 568*T1^11*T2^8 + 632*T1^12*T2^8 - 
      776*T1^3*T2^9 + 568*T1^4*T2^9 + 1150*T1^5*T2^9 - 3650*T1^6*T2^9 + 
      1798*T1^7*T2^9 + 1798*T1^8*T2^9 - 3650*T1^9*T2^9 + 1150*T1^10*T2^9 + 
      568*T1^11*T2^9 - 776*T1^12*T2^9 + 632*T1^4*T2^10 - 1256*T1^5*T2^10 + 
      882*T1^6*T2^10 + 1150*T1^7*T2^10 - 2094*T1^8*T2^10 + 1150*T1^9*T2^10 + 
      882*T1^10*T2^10 - 1256*T1^11*T2^10 + 632*T1^12*T2^10 - 312*T1^5*T2^11 + 
      908*T1^6*T2^11 - 1256*T1^7*T2^11 + 568*T1^8*T2^11 + 568*T1^9*T2^11 - 
      1256*T1^10*T2^11 + 908*T1^11*T2^11 - 312*T1^12*T2^11 + 80*T1^6*T2^12 - 
      312*T1^7*T2^12 + 632*T1^8*T2^12 - 776*T1^9*T2^12 + 632*T1^10*T2^12 - 
      312*T1^11*T2^12 + 80*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, -((17 - 67*T1 + 133*T1^2 - 165*T1^3 + 173*T1^4 - 165*T1^5 + 
      133*T1^6 - 67*T1^7 + 17*T1^8 - 67*T2 + 198*T1*T2 - 262*T1^2*T2 + 
      128*T1^3*T2 - 32*T1^4*T2 - 32*T1^5*T2 + 128*T1^6*T2 - 262*T1^7*T2 + 
      198*T1^8*T2 - 67*T1^9*T2 + 133*T2^2 - 262*T1*T2^2 + 130*T1^2*T2^2 + 
      280*T1^3*T2^2 - 234*T1^4*T2^2 + 182*T1^5*T2^2 - 234*T1^6*T2^2 + 
      280*T1^7*T2^2 + 130*T1^8*T2^2 - 262*T1^9*T2^2 + 133*T1^10*T2^2 - 
      165*T2^3 + 128*T1*T2^3 + 280*T1^2*T2^3 - 704*T1^3*T2^3 + 94*T1^4*T2^3 + 
      16*T1^5*T2^3 + 16*T1^6*T2^3 + 94*T1^7*T2^3 - 704*T1^8*T2^3 + 
      280*T1^9*T2^3 + 128*T1^10*T2^3 - 165*T1^11*T2^3 + 173*T2^4 - 
      32*T1*T2^4 - 234*T1^2*T2^4 + 94*T1^3*T2^4 + 1146*T1^4*T2^4 - 
      916*T1^5*T2^4 + 840*T1^6*T2^4 - 916*T1^7*T2^4 + 1146*T1^8*T2^4 + 
      94*T1^9*T2^4 - 234*T1^10*T2^4 - 32*T1^11*T2^4 + 173*T1^12*T2^4 - 
      165*T2^5 - 32*T1*T2^5 + 182*T1^2*T2^5 + 16*T1^3*T2^5 - 916*T1^4*T2^5 - 
      66*T1^5*T2^5 + 20*T1^6*T2^5 + 20*T1^7*T2^5 - 66*T1^8*T2^5 - 
      916*T1^9*T2^5 + 16*T1^10*T2^5 + 182*T1^11*T2^5 - 32*T1^12*T2^5 - 
      165*T1^13*T2^5 + 133*T2^6 + 128*T1*T2^6 - 234*T1^2*T2^6 + 
      16*T1^3*T2^6 + 840*T1^4*T2^6 + 20*T1^5*T2^6 + 606*T1^6*T2^6 - 
      598*T1^7*T2^6 + 606*T1^8*T2^6 + 20*T1^9*T2^6 + 840*T1^10*T2^6 + 
      16*T1^11*T2^6 - 234*T1^12*T2^6 + 128*T1^13*T2^6 + 133*T1^14*T2^6 - 
      67*T2^7 - 262*T1*T2^7 + 280*T1^2*T2^7 + 94*T1^3*T2^7 - 916*T1^4*T2^7 + 
      20*T1^5*T2^7 - 598*T1^6*T2^7 + 84*T1^7*T2^7 + 84*T1^8*T2^7 - 
      598*T1^9*T2^7 + 20*T1^10*T2^7 - 916*T1^11*T2^7 + 94*T1^12*T2^7 + 
      280*T1^13*T2^7 - 262*T1^14*T2^7 - 67*T1^15*T2^7 + 17*T2^8 + 
      198*T1*T2^8 + 130*T1^2*T2^8 - 704*T1^3*T2^8 + 1146*T1^4*T2^8 - 
      66*T1^5*T2^8 + 606*T1^6*T2^8 + 84*T1^7*T2^8 + 12*T1^8*T2^8 + 
      84*T1^9*T2^8 + 606*T1^10*T2^8 - 66*T1^11*T2^8 + 1146*T1^12*T2^8 - 
      704*T1^13*T2^8 + 130*T1^14*T2^8 + 198*T1^15*T2^8 + 17*T1^16*T2^8 - 
      67*T1*T2^9 - 262*T1^2*T2^9 + 280*T1^3*T2^9 + 94*T1^4*T2^9 - 
      916*T1^5*T2^9 + 20*T1^6*T2^9 - 598*T1^7*T2^9 + 84*T1^8*T2^9 + 
      84*T1^9*T2^9 - 598*T1^10*T2^9 + 20*T1^11*T2^9 - 916*T1^12*T2^9 + 
      94*T1^13*T2^9 + 280*T1^14*T2^9 - 262*T1^15*T2^9 - 67*T1^16*T2^9 + 
      133*T1^2*T2^10 + 128*T1^3*T2^10 - 234*T1^4*T2^10 + 16*T1^5*T2^10 + 
      840*T1^6*T2^10 + 20*T1^7*T2^10 + 606*T1^8*T2^10 - 598*T1^9*T2^10 + 
      606*T1^10*T2^10 + 20*T1^11*T2^10 + 840*T1^12*T2^10 + 16*T1^13*T2^10 - 
      234*T1^14*T2^10 + 128*T1^15*T2^10 + 133*T1^16*T2^10 - 165*T1^3*T2^11 - 
      32*T1^4*T2^11 + 182*T1^5*T2^11 + 16*T1^6*T2^11 - 916*T1^7*T2^11 - 
      66*T1^8*T2^11 + 20*T1^9*T2^11 + 20*T1^10*T2^11 - 66*T1^11*T2^11 - 
      916*T1^12*T2^11 + 16*T1^13*T2^11 + 182*T1^14*T2^11 - 32*T1^15*T2^11 - 
      165*T1^16*T2^11 + 173*T1^4*T2^12 - 32*T1^5*T2^12 - 234*T1^6*T2^12 + 
      94*T1^7*T2^12 + 1146*T1^8*T2^12 - 916*T1^9*T2^12 + 840*T1^10*T2^12 - 
      916*T1^11*T2^12 + 1146*T1^12*T2^12 + 94*T1^13*T2^12 - 234*T1^14*T2^12 - 
      32*T1^15*T2^12 + 173*T1^16*T2^12 - 165*T1^5*T2^13 + 128*T1^6*T2^13 + 
      280*T1^7*T2^13 - 704*T1^8*T2^13 + 94*T1^9*T2^13 + 16*T1^10*T2^13 + 
      16*T1^11*T2^13 + 94*T1^12*T2^13 - 704*T1^13*T2^13 + 280*T1^14*T2^13 + 
      128*T1^15*T2^13 - 165*T1^16*T2^13 + 133*T1^6*T2^14 - 262*T1^7*T2^14 + 
      130*T1^8*T2^14 + 280*T1^9*T2^14 - 234*T1^10*T2^14 + 182*T1^11*T2^14 - 
      234*T1^12*T2^14 + 280*T1^13*T2^14 + 130*T1^14*T2^14 - 262*T1^15*T2^14 + 
      133*T1^16*T2^14 - 67*T1^7*T2^15 + 198*T1^8*T2^15 - 262*T1^9*T2^15 + 
      128*T1^10*T2^15 - 32*T1^11*T2^15 - 32*T1^12*T2^15 + 128*T1^13*T2^15 - 
      262*T1^14*T2^15 + 198*T1^15*T2^15 - 67*T1^16*T2^15 + 17*T1^8*T2^16 - 
      67*T1^9*T2^16 + 133*T1^10*T2^16 - 165*T1^11*T2^16 + 173*T1^12*T2^16 - 
      165*T1^13*T2^16 + 133*T1^14*T2^16 - 67*T1^15*T2^16 + 17*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 721] -> 
  {((1 - T + T^2)*(4 - 14*T + 21*T^2 - 14*T^3 + 4*T^4))/T^3, 
   -((80 - 348*T1 + 740*T1^2 - 920*T1^3 + 740*T1^4 - 348*T1^5 + 80*T1^6 - 
      348*T2 + 1174*T1*T2 - 1724*T1^2*T2 + 796*T1^3*T2 + 796*T1^4*T2 - 
      1724*T1^5*T2 + 1174*T1^6*T2 - 348*T1^7*T2 + 740*T2^2 - 1724*T1*T2^2 + 
      1009*T1^2*T2^2 + 2401*T1^3*T2^2 - 3979*T1^4*T2^2 + 2401*T1^5*T2^2 + 
      1009*T1^6*T2^2 - 1724*T1^7*T2^2 + 740*T1^8*T2^2 - 920*T2^3 + 
      796*T1*T2^3 + 2401*T1^2*T2^3 - 6614*T1^3*T2^3 + 3142*T1^4*T2^3 + 
      3142*T1^5*T2^3 - 6614*T1^6*T2^3 + 2401*T1^7*T2^3 + 796*T1^8*T2^3 - 
      920*T1^9*T2^3 + 740*T2^4 + 796*T1*T2^4 - 3979*T1^2*T2^4 + 
      3142*T1^3*T2^4 + 8160*T1^4*T2^4 - 13082*T1^5*T2^4 + 8160*T1^6*T2^4 + 
      3142*T1^7*T2^4 - 3979*T1^8*T2^4 + 796*T1^9*T2^4 + 740*T1^10*T2^4 - 
      348*T2^5 - 1724*T1*T2^5 + 2401*T1^2*T2^5 + 3142*T1^3*T2^5 - 
      13082*T1^4*T2^5 + 6234*T1^5*T2^5 + 6234*T1^6*T2^5 - 13082*T1^7*T2^5 + 
      3142*T1^8*T2^5 + 2401*T1^9*T2^5 - 1724*T1^10*T2^5 - 348*T1^11*T2^5 + 
      80*T2^6 + 1174*T1*T2^6 + 1009*T1^2*T2^6 - 6614*T1^3*T2^6 + 
      8160*T1^4*T2^6 + 6234*T1^5*T2^6 - 12456*T1^6*T2^6 + 6234*T1^7*T2^6 + 
      8160*T1^8*T2^6 - 6614*T1^9*T2^6 + 1009*T1^10*T2^6 + 1174*T1^11*T2^6 + 
      80*T1^12*T2^6 - 348*T1*T2^7 - 1724*T1^2*T2^7 + 2401*T1^3*T2^7 + 
      3142*T1^4*T2^7 - 13082*T1^5*T2^7 + 6234*T1^6*T2^7 + 6234*T1^7*T2^7 - 
      13082*T1^8*T2^7 + 3142*T1^9*T2^7 + 2401*T1^10*T2^7 - 1724*T1^11*T2^7 - 
      348*T1^12*T2^7 + 740*T1^2*T2^8 + 796*T1^3*T2^8 - 3979*T1^4*T2^8 + 
      3142*T1^5*T2^8 + 8160*T1^6*T2^8 - 13082*T1^7*T2^8 + 8160*T1^8*T2^8 + 
      3142*T1^9*T2^8 - 3979*T1^10*T2^8 + 796*T1^11*T2^8 + 740*T1^12*T2^8 - 
      920*T1^3*T2^9 + 796*T1^4*T2^9 + 2401*T1^5*T2^9 - 6614*T1^6*T2^9 + 
      3142*T1^7*T2^9 + 3142*T1^8*T2^9 - 6614*T1^9*T2^9 + 2401*T1^10*T2^9 + 
      796*T1^11*T2^9 - 920*T1^12*T2^9 + 740*T1^4*T2^10 - 1724*T1^5*T2^10 + 
      1009*T1^6*T2^10 + 2401*T1^7*T2^10 - 3979*T1^8*T2^10 + 2401*T1^9*T2^10 + 
      1009*T1^10*T2^10 - 1724*T1^11*T2^10 + 740*T1^12*T2^10 - 
      348*T1^5*T2^11 + 1174*T1^6*T2^11 - 1724*T1^7*T2^11 + 796*T1^8*T2^11 + 
      796*T1^9*T2^11 - 1724*T1^10*T2^11 + 1174*T1^11*T2^11 - 
      348*T1^12*T2^11 + 80*T1^6*T2^12 - 348*T1^7*T2^12 + 740*T1^8*T2^12 - 
      920*T1^9*T2^12 + 740*T1^10*T2^12 - 348*T1^11*T2^12 + 80*T1^12*T2^12)/
     (T1^6*T2^6))}, 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), -((4 - 12*T1 + 12*T1^2 - 12*T1^3 + 12*T1^4 - 
      12*T1^5 + 12*T1^6 - 12*T1^7 + 12*T1^8 - 12*T1^9 + 4*T1^10 - 12*T2 + 
      24*T1*T2 + 24*T1^10*T2 - 12*T1^11*T2 + 12*T2^2 - 60*T1^2*T2^2 + 
      38*T1^3*T2^2 - 38*T1^4*T2^2 + 38*T1^5*T2^2 - 38*T1^6*T2^2 + 
      38*T1^7*T2^2 - 38*T1^8*T2^2 + 38*T1^9*T2^2 - 60*T1^10*T2^2 + 
      12*T1^12*T2^2 - 12*T2^3 + 38*T1^2*T2^3 + 18*T1^3*T2^3 + 18*T1^10*T2^3 + 
      38*T1^11*T2^3 - 12*T1^13*T2^3 + 12*T2^4 - 38*T1^2*T2^4 - 45*T1^4*T2^4 + 
      29*T1^5*T2^4 - 29*T1^6*T2^4 + 29*T1^7*T2^4 - 29*T1^8*T2^4 + 
      29*T1^9*T2^4 - 45*T1^10*T2^4 - 38*T1^12*T2^4 + 12*T1^14*T2^4 - 
      12*T2^5 + 38*T1^2*T2^5 + 29*T1^4*T2^5 + 12*T1^5*T2^5 + 12*T1^10*T2^5 + 
      29*T1^11*T2^5 + 38*T1^13*T2^5 - 12*T1^15*T2^5 + 12*T2^6 - 
      38*T1^2*T2^6 - 29*T1^4*T2^6 - 30*T1^6*T2^6 + 20*T1^7*T2^6 - 
      20*T1^8*T2^6 + 20*T1^9*T2^6 - 30*T1^10*T2^6 - 29*T1^12*T2^6 - 
      38*T1^14*T2^6 + 12*T1^16*T2^6 - 12*T2^7 + 38*T1^2*T2^7 + 29*T1^4*T2^7 + 
      20*T1^6*T2^7 + 6*T1^7*T2^7 + 6*T1^10*T2^7 + 20*T1^11*T2^7 + 
      29*T1^13*T2^7 + 38*T1^15*T2^7 - 12*T1^17*T2^7 + 12*T2^8 - 
      38*T1^2*T2^8 - 29*T1^4*T2^8 - 20*T1^6*T2^8 - 15*T1^8*T2^8 + 
      11*T1^9*T2^8 - 15*T1^10*T2^8 - 20*T1^12*T2^8 - 29*T1^14*T2^8 - 
      38*T1^16*T2^8 + 12*T1^18*T2^8 - 12*T2^9 + 38*T1^2*T2^9 + 29*T1^4*T2^9 + 
      20*T1^6*T2^9 + 11*T1^8*T2^9 + 11*T1^11*T2^9 + 20*T1^13*T2^9 + 
      29*T1^15*T2^9 + 38*T1^17*T2^9 - 12*T1^19*T2^9 + 4*T2^10 + 24*T1*T2^10 - 
      60*T1^2*T2^10 + 18*T1^3*T2^10 - 45*T1^4*T2^10 + 12*T1^5*T2^10 - 
      30*T1^6*T2^10 + 6*T1^7*T2^10 - 15*T1^8*T2^10 - 15*T1^12*T2^10 + 
      6*T1^13*T2^10 - 30*T1^14*T2^10 + 12*T1^15*T2^10 - 45*T1^16*T2^10 + 
      18*T1^17*T2^10 - 60*T1^18*T2^10 + 24*T1^19*T2^10 + 4*T1^20*T2^10 - 
      12*T1*T2^11 + 38*T1^3*T2^11 + 29*T1^5*T2^11 + 20*T1^7*T2^11 + 
      11*T1^9*T2^11 + 11*T1^12*T2^11 + 20*T1^14*T2^11 + 29*T1^16*T2^11 + 
      38*T1^18*T2^11 - 12*T1^20*T2^11 + 12*T1^2*T2^12 - 38*T1^4*T2^12 - 
      29*T1^6*T2^12 - 20*T1^8*T2^12 - 15*T1^10*T2^12 + 11*T1^11*T2^12 - 
      15*T1^12*T2^12 - 20*T1^14*T2^12 - 29*T1^16*T2^12 - 38*T1^18*T2^12 + 
      12*T1^20*T2^12 - 12*T1^3*T2^13 + 38*T1^5*T2^13 + 29*T1^7*T2^13 + 
      20*T1^9*T2^13 + 6*T1^10*T2^13 + 6*T1^13*T2^13 + 20*T1^14*T2^13 + 
      29*T1^16*T2^13 + 38*T1^18*T2^13 - 12*T1^20*T2^13 + 12*T1^4*T2^14 - 
      38*T1^6*T2^14 - 29*T1^8*T2^14 - 30*T1^10*T2^14 + 20*T1^11*T2^14 - 
      20*T1^12*T2^14 + 20*T1^13*T2^14 - 30*T1^14*T2^14 - 29*T1^16*T2^14 - 
      38*T1^18*T2^14 + 12*T1^20*T2^14 - 12*T1^5*T2^15 + 38*T1^7*T2^15 + 
      29*T1^9*T2^15 + 12*T1^10*T2^15 + 12*T1^15*T2^15 + 29*T1^16*T2^15 + 
      38*T1^18*T2^15 - 12*T1^20*T2^15 + 12*T1^6*T2^16 - 38*T1^8*T2^16 - 
      45*T1^10*T2^16 + 29*T1^11*T2^16 - 29*T1^12*T2^16 + 29*T1^13*T2^16 - 
      29*T1^14*T2^16 + 29*T1^15*T2^16 - 45*T1^16*T2^16 - 38*T1^18*T2^16 + 
      12*T1^20*T2^16 - 12*T1^7*T2^17 + 38*T1^9*T2^17 + 18*T1^10*T2^17 + 
      18*T1^17*T2^17 + 38*T1^18*T2^17 - 12*T1^20*T2^17 + 12*T1^8*T2^18 - 
      60*T1^10*T2^18 + 38*T1^11*T2^18 - 38*T1^12*T2^18 + 38*T1^13*T2^18 - 
      38*T1^14*T2^18 + 38*T1^15*T2^18 - 38*T1^16*T2^18 + 38*T1^17*T2^18 - 
      60*T1^18*T2^18 + 12*T1^20*T2^18 - 12*T1^9*T2^19 + 24*T1^10*T2^19 + 
      24*T1^19*T2^19 - 12*T1^20*T2^19 + 4*T1^10*T2^20 - 12*T1^11*T2^20 + 
      12*T1^12*T2^20 - 12*T1^13*T2^20 + 12*T1^14*T2^20 - 12*T1^15*T2^20 + 
      12*T1^16*T2^20 - 12*T1^17*T2^20 + 12*T1^18*T2^20 - 12*T1^19*T2^20 + 
      4*T1^20*T2^20)/(T1^10*T2^10))}, Knot[12, Alternating, 723] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2 - T^3 + T^4 - T^5 + T^6))/T^4), 
   -((25 - 87*T1 + 111*T1^2 - 111*T1^3 + 111*T1^4 - 111*T1^5 + 111*T1^6 - 
      87*T1^7 + 25*T1^8 - 87*T2 + 216*T1*T2 - 84*T1^2*T2 - 84*T1^7*T2 + 
      216*T1^8*T2 - 87*T1^9*T2 + 111*T2^2 - 84*T1*T2^2 - 450*T1^2*T2^2 + 
      484*T1^3*T2^2 - 384*T1^4*T2^2 + 384*T1^5*T2^2 - 384*T1^6*T2^2 + 
      484*T1^7*T2^2 - 450*T1^8*T2^2 - 84*T1^9*T2^2 + 111*T1^10*T2^2 - 
      111*T2^3 + 484*T1^2*T2^3 - 58*T1^3*T2^3 - 80*T1^4*T2^3 - 80*T1^7*T2^3 - 
      58*T1^8*T2^3 + 484*T1^9*T2^3 - 111*T1^11*T2^3 + 111*T2^4 - 
      384*T1^2*T2^4 - 80*T1^3*T2^4 - 118*T1^4*T2^4 + 226*T1^5*T2^4 - 
      162*T1^6*T2^4 + 226*T1^7*T2^4 - 118*T1^8*T2^4 - 80*T1^9*T2^4 - 
      384*T1^10*T2^4 + 111*T1^12*T2^4 - 111*T2^5 + 384*T1^2*T2^5 + 
      226*T1^4*T2^5 - 58*T1^5*T2^5 - 44*T1^6*T2^5 - 44*T1^7*T2^5 - 
      58*T1^8*T2^5 + 226*T1^9*T2^5 + 384*T1^11*T2^5 - 111*T1^13*T2^5 + 
      111*T2^6 - 384*T1^2*T2^6 - 162*T1^4*T2^6 - 44*T1^5*T2^6 - 
      37*T1^6*T2^6 + 137*T1^7*T2^6 - 37*T1^8*T2^6 - 44*T1^9*T2^6 - 
      162*T1^10*T2^6 - 384*T1^12*T2^6 + 111*T1^14*T2^6 - 87*T2^7 - 
      84*T1*T2^7 + 484*T1^2*T2^7 - 80*T1^3*T2^7 + 226*T1^4*T2^7 - 
      44*T1^5*T2^7 + 137*T1^6*T2^7 - 74*T1^7*T2^7 - 74*T1^8*T2^7 + 
      137*T1^9*T2^7 - 44*T1^10*T2^7 + 226*T1^11*T2^7 - 80*T1^12*T2^7 + 
      484*T1^13*T2^7 - 84*T1^14*T2^7 - 87*T1^15*T2^7 + 25*T2^8 + 
      216*T1*T2^8 - 450*T1^2*T2^8 - 58*T1^3*T2^8 - 118*T1^4*T2^8 - 
      58*T1^5*T2^8 - 37*T1^6*T2^8 - 74*T1^7*T2^8 + 132*T1^8*T2^8 - 
      74*T1^9*T2^8 - 37*T1^10*T2^8 - 58*T1^11*T2^8 - 118*T1^12*T2^8 - 
      58*T1^13*T2^8 - 450*T1^14*T2^8 + 216*T1^15*T2^8 + 25*T1^16*T2^8 - 
      87*T1*T2^9 - 84*T1^2*T2^9 + 484*T1^3*T2^9 - 80*T1^4*T2^9 + 
      226*T1^5*T2^9 - 44*T1^6*T2^9 + 137*T1^7*T2^9 - 74*T1^8*T2^9 - 
      74*T1^9*T2^9 + 137*T1^10*T2^9 - 44*T1^11*T2^9 + 226*T1^12*T2^9 - 
      80*T1^13*T2^9 + 484*T1^14*T2^9 - 84*T1^15*T2^9 - 87*T1^16*T2^9 + 
      111*T1^2*T2^10 - 384*T1^4*T2^10 - 162*T1^6*T2^10 - 44*T1^7*T2^10 - 
      37*T1^8*T2^10 + 137*T1^9*T2^10 - 37*T1^10*T2^10 - 44*T1^11*T2^10 - 
      162*T1^12*T2^10 - 384*T1^14*T2^10 + 111*T1^16*T2^10 - 111*T1^3*T2^11 + 
      384*T1^5*T2^11 + 226*T1^7*T2^11 - 58*T1^8*T2^11 - 44*T1^9*T2^11 - 
      44*T1^10*T2^11 - 58*T1^11*T2^11 + 226*T1^12*T2^11 + 384*T1^14*T2^11 - 
      111*T1^16*T2^11 + 111*T1^4*T2^12 - 384*T1^6*T2^12 - 80*T1^7*T2^12 - 
      118*T1^8*T2^12 + 226*T1^9*T2^12 - 162*T1^10*T2^12 + 226*T1^11*T2^12 - 
      118*T1^12*T2^12 - 80*T1^13*T2^12 - 384*T1^14*T2^12 + 111*T1^16*T2^12 - 
      111*T1^5*T2^13 + 484*T1^7*T2^13 - 58*T1^8*T2^13 - 80*T1^9*T2^13 - 
      80*T1^12*T2^13 - 58*T1^13*T2^13 + 484*T1^14*T2^13 - 111*T1^16*T2^13 + 
      111*T1^6*T2^14 - 84*T1^7*T2^14 - 450*T1^8*T2^14 + 484*T1^9*T2^14 - 
      384*T1^10*T2^14 + 384*T1^11*T2^14 - 384*T1^12*T2^14 + 484*T1^13*T2^14 - 
      450*T1^14*T2^14 - 84*T1^15*T2^14 + 111*T1^16*T2^14 - 87*T1^7*T2^15 + 
      216*T1^8*T2^15 - 84*T1^9*T2^15 - 84*T1^14*T2^15 + 216*T1^15*T2^15 - 
      87*T1^16*T2^15 + 25*T1^8*T2^16 - 87*T1^9*T2^16 + 111*T1^10*T2^16 - 
      111*T1^11*T2^16 + 111*T1^12*T2^16 - 111*T1^13*T2^16 + 111*T1^14*T2^16 - 
      87*T1^15*T2^16 + 25*T1^16*T2^16)/(T1^8*T2^8))}, 
 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), -((25 - 99*T1 + 171*T1^2 - 231*T1^3 + 255*T1^4 - 231*T1^5 + 
      171*T1^6 - 99*T1^7 + 25*T1^8 - 99*T2 + 294*T1*T2 - 288*T1^2*T2 + 
      240*T1^3*T2 - 96*T1^4*T2 - 96*T1^5*T2 + 240*T1^6*T2 - 288*T1^7*T2 + 
      294*T1^8*T2 - 99*T1^9*T2 + 171*T2^2 - 288*T1*T2^2 - 214*T1^2*T2^2 + 
      470*T1^3*T2^2 - 782*T1^4*T2^2 + 922*T1^5*T2^2 - 782*T1^6*T2^2 + 
      470*T1^7*T2^2 - 214*T1^8*T2^2 - 288*T1^9*T2^2 + 171*T1^10*T2^2 - 
      231*T2^3 + 240*T1*T2^3 + 470*T1^2*T2^3 - 216*T1^3*T2^3 + 
      306*T1^4*T2^3 - 142*T1^5*T2^3 - 142*T1^6*T2^3 + 306*T1^7*T2^3 - 
      216*T1^8*T2^3 + 470*T1^9*T2^3 + 240*T1^10*T2^3 - 231*T1^11*T2^3 + 
      255*T2^4 - 96*T1*T2^4 - 782*T1^2*T2^4 + 306*T1^3*T2^4 - 979*T1^4*T2^4 + 
      1043*T1^5*T2^4 - 1045*T1^6*T2^4 + 1043*T1^7*T2^4 - 979*T1^8*T2^4 + 
      306*T1^9*T2^4 - 782*T1^10*T2^4 - 96*T1^11*T2^4 + 255*T1^12*T2^4 - 
      231*T2^5 - 96*T1*T2^5 + 922*T1^2*T2^5 - 142*T1^3*T2^5 + 
      1043*T1^4*T2^5 - 476*T1^5*T2^5 + 152*T1^6*T2^5 + 152*T1^7*T2^5 - 
      476*T1^8*T2^5 + 1043*T1^9*T2^5 - 142*T1^10*T2^5 + 922*T1^11*T2^5 - 
      96*T1^12*T2^5 - 231*T1^13*T2^5 + 171*T2^6 + 240*T1*T2^6 - 
      782*T1^2*T2^6 - 142*T1^3*T2^6 - 1045*T1^4*T2^6 + 152*T1^5*T2^6 - 
      322*T1^6*T2^6 + 394*T1^7*T2^6 - 322*T1^8*T2^6 + 152*T1^9*T2^6 - 
      1045*T1^10*T2^6 - 142*T1^11*T2^6 - 782*T1^12*T2^6 + 240*T1^13*T2^6 + 
      171*T1^14*T2^6 - 99*T2^7 - 288*T1*T2^7 + 470*T1^2*T2^7 + 
      306*T1^3*T2^7 + 1043*T1^4*T2^7 + 152*T1^5*T2^7 + 394*T1^6*T2^7 - 
      204*T1^7*T2^7 - 204*T1^8*T2^7 + 394*T1^9*T2^7 + 152*T1^10*T2^7 + 
      1043*T1^11*T2^7 + 306*T1^12*T2^7 + 470*T1^13*T2^7 - 288*T1^14*T2^7 - 
      99*T1^15*T2^7 + 25*T2^8 + 294*T1*T2^8 - 214*T1^2*T2^8 - 216*T1^3*T2^8 - 
      979*T1^4*T2^8 - 476*T1^5*T2^8 - 322*T1^6*T2^8 - 204*T1^7*T2^8 + 
      468*T1^8*T2^8 - 204*T1^9*T2^8 - 322*T1^10*T2^8 - 476*T1^11*T2^8 - 
      979*T1^12*T2^8 - 216*T1^13*T2^8 - 214*T1^14*T2^8 + 294*T1^15*T2^8 + 
      25*T1^16*T2^8 - 99*T1*T2^9 - 288*T1^2*T2^9 + 470*T1^3*T2^9 + 
      306*T1^4*T2^9 + 1043*T1^5*T2^9 + 152*T1^6*T2^9 + 394*T1^7*T2^9 - 
      204*T1^8*T2^9 - 204*T1^9*T2^9 + 394*T1^10*T2^9 + 152*T1^11*T2^9 + 
      1043*T1^12*T2^9 + 306*T1^13*T2^9 + 470*T1^14*T2^9 - 288*T1^15*T2^9 - 
      99*T1^16*T2^9 + 171*T1^2*T2^10 + 240*T1^3*T2^10 - 782*T1^4*T2^10 - 
      142*T1^5*T2^10 - 1045*T1^6*T2^10 + 152*T1^7*T2^10 - 322*T1^8*T2^10 + 
      394*T1^9*T2^10 - 322*T1^10*T2^10 + 152*T1^11*T2^10 - 1045*T1^12*T2^10 - 
      142*T1^13*T2^10 - 782*T1^14*T2^10 + 240*T1^15*T2^10 + 171*T1^16*T2^10 - 
      231*T1^3*T2^11 - 96*T1^4*T2^11 + 922*T1^5*T2^11 - 142*T1^6*T2^11 + 
      1043*T1^7*T2^11 - 476*T1^8*T2^11 + 152*T1^9*T2^11 + 152*T1^10*T2^11 - 
      476*T1^11*T2^11 + 1043*T1^12*T2^11 - 142*T1^13*T2^11 + 
      922*T1^14*T2^11 - 96*T1^15*T2^11 - 231*T1^16*T2^11 + 255*T1^4*T2^12 - 
      96*T1^5*T2^12 - 782*T1^6*T2^12 + 306*T1^7*T2^12 - 979*T1^8*T2^12 + 
      1043*T1^9*T2^12 - 1045*T1^10*T2^12 + 1043*T1^11*T2^12 - 
      979*T1^12*T2^12 + 306*T1^13*T2^12 - 782*T1^14*T2^12 - 96*T1^15*T2^12 + 
      255*T1^16*T2^12 - 231*T1^5*T2^13 + 240*T1^6*T2^13 + 470*T1^7*T2^13 - 
      216*T1^8*T2^13 + 306*T1^9*T2^13 - 142*T1^10*T2^13 - 142*T1^11*T2^13 + 
      306*T1^12*T2^13 - 216*T1^13*T2^13 + 470*T1^14*T2^13 + 240*T1^15*T2^13 - 
      231*T1^16*T2^13 + 171*T1^6*T2^14 - 288*T1^7*T2^14 - 214*T1^8*T2^14 + 
      470*T1^9*T2^14 - 782*T1^10*T2^14 + 922*T1^11*T2^14 - 782*T1^12*T2^14 + 
      470*T1^13*T2^14 - 214*T1^14*T2^14 - 288*T1^15*T2^14 + 171*T1^16*T2^14 - 
      99*T1^7*T2^15 + 294*T1^8*T2^15 - 288*T1^9*T2^15 + 240*T1^10*T2^15 - 
      96*T1^11*T2^15 - 96*T1^12*T2^15 + 240*T1^13*T2^15 - 288*T1^14*T2^15 + 
      294*T1^15*T2^15 - 99*T1^16*T2^15 + 25*T1^8*T2^16 - 99*T1^9*T2^16 + 
      171*T1^10*T2^16 - 231*T1^11*T2^16 + 255*T1^12*T2^16 - 231*T1^13*T2^16 + 
      171*T1^14*T2^16 - 99*T1^15*T2^16 + 25*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 725] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 3*T + 3*T^2 - 3*T^3 + 2*T^4))/T^3), 
   (-2*(72 - 284*T1 + 436*T1^2 - 468*T1^3 + 436*T1^4 - 284*T1^5 + 72*T1^6 - 
      284*T2 + 838*T1*T2 - 604*T1^2*T2 + 128*T1^3*T2 + 128*T1^4*T2 - 
      604*T1^5*T2 + 838*T1^6*T2 - 284*T1^7*T2 + 436*T2^2 - 604*T1*T2^2 - 
      1341*T1^2*T2^2 + 2317*T1^3*T2^2 - 2141*T1^4*T2^2 + 2317*T1^5*T2^2 - 
      1341*T1^6*T2^2 - 604*T1^7*T2^2 + 436*T1^8*T2^2 - 468*T2^3 + 
      128*T1*T2^3 + 2317*T1^2*T2^3 - 1436*T1^3*T2^3 - 1436*T1^6*T2^3 + 
      2317*T1^7*T2^3 + 128*T1^8*T2^3 - 468*T1^9*T2^3 + 436*T2^4 + 
      128*T1*T2^4 - 2141*T1^2*T2^4 + 641*T1^4*T2^4 + 232*T1^5*T2^4 + 
      641*T1^6*T2^4 - 2141*T1^8*T2^4 + 128*T1^9*T2^4 + 436*T1^10*T2^4 - 
      284*T2^5 - 604*T1*T2^5 + 2317*T1^2*T2^5 + 232*T1^4*T2^5 - 
      642*T1^5*T2^5 - 642*T1^6*T2^5 + 232*T1^7*T2^5 + 2317*T1^9*T2^5 - 
      604*T1^10*T2^5 - 284*T1^11*T2^5 + 72*T2^6 + 838*T1*T2^6 - 
      1341*T1^2*T2^6 - 1436*T1^3*T2^6 + 641*T1^4*T2^6 - 642*T1^5*T2^6 + 
      1554*T1^6*T2^6 - 642*T1^7*T2^6 + 641*T1^8*T2^6 - 1436*T1^9*T2^6 - 
      1341*T1^10*T2^6 + 838*T1^11*T2^6 + 72*T1^12*T2^6 - 284*T1*T2^7 - 
      604*T1^2*T2^7 + 2317*T1^3*T2^7 + 232*T1^5*T2^7 - 642*T1^6*T2^7 - 
      642*T1^7*T2^7 + 232*T1^8*T2^7 + 2317*T1^10*T2^7 - 604*T1^11*T2^7 - 
      284*T1^12*T2^7 + 436*T1^2*T2^8 + 128*T1^3*T2^8 - 2141*T1^4*T2^8 + 
      641*T1^6*T2^8 + 232*T1^7*T2^8 + 641*T1^8*T2^8 - 2141*T1^10*T2^8 + 
      128*T1^11*T2^8 + 436*T1^12*T2^8 - 468*T1^3*T2^9 + 128*T1^4*T2^9 + 
      2317*T1^5*T2^9 - 1436*T1^6*T2^9 - 1436*T1^9*T2^9 + 2317*T1^10*T2^9 + 
      128*T1^11*T2^9 - 468*T1^12*T2^9 + 436*T1^4*T2^10 - 604*T1^5*T2^10 - 
      1341*T1^6*T2^10 + 2317*T1^7*T2^10 - 2141*T1^8*T2^10 + 2317*T1^9*T2^10 - 
      1341*T1^10*T2^10 - 604*T1^11*T2^10 + 436*T1^12*T2^10 - 284*T1^5*T2^11 + 
      838*T1^6*T2^11 - 604*T1^7*T2^11 + 128*T1^8*T2^11 + 128*T1^9*T2^11 - 
      604*T1^10*T2^11 + 838*T1^11*T2^11 - 284*T1^12*T2^11 + 72*T1^6*T2^12 - 
      284*T1^7*T2^12 + 436*T1^8*T2^12 - 468*T1^9*T2^12 + 436*T1^10*T2^12 - 
      284*T1^11*T2^12 + 72*T1^12*T2^12))/(T1^6*T2^6)}, 
 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), -((25 - 99*T1 + 171*T1^2 - 219*T1^3 + 231*T1^4 - 219*T1^5 + 
      171*T1^6 - 99*T1^7 + 25*T1^8 - 99*T2 + 294*T1*T2 - 288*T1^2*T2 + 
      192*T1^3*T2 - 48*T1^4*T2 - 48*T1^5*T2 + 192*T1^6*T2 - 288*T1^7*T2 + 
      294*T1^8*T2 - 99*T1^9*T2 + 171*T2^2 - 288*T1*T2^2 - 214*T1^2*T2^2 + 
      550*T1^3*T2^2 - 754*T1^4*T2^2 + 706*T1^5*T2^2 - 754*T1^6*T2^2 + 
      550*T1^7*T2^2 - 214*T1^8*T2^2 - 288*T1^9*T2^2 + 171*T1^10*T2^2 - 
      219*T2^3 + 192*T1*T2^3 + 550*T1^2*T2^3 - 404*T1^3*T2^3 + 
      256*T1^4*T2^3 + 48*T1^5*T2^3 + 48*T1^6*T2^3 + 256*T1^7*T2^3 - 
      404*T1^8*T2^3 + 550*T1^9*T2^3 + 192*T1^10*T2^3 - 219*T1^11*T2^3 + 
      231*T2^4 - 48*T1*T2^4 - 754*T1^2*T2^4 + 256*T1^3*T2^4 - 483*T1^4*T2^4 + 
      477*T1^5*T2^4 - 861*T1^6*T2^4 + 477*T1^7*T2^4 - 483*T1^8*T2^4 + 
      256*T1^9*T2^4 - 754*T1^10*T2^4 - 48*T1^11*T2^4 + 231*T1^12*T2^4 - 
      219*T2^5 - 48*T1*T2^5 + 706*T1^2*T2^5 + 48*T1^3*T2^5 + 477*T1^4*T2^5 - 
      178*T1^5*T2^5 + 320*T1^6*T2^5 + 320*T1^7*T2^5 - 178*T1^8*T2^5 + 
      477*T1^9*T2^5 + 48*T1^10*T2^5 + 706*T1^11*T2^5 - 48*T1^12*T2^5 - 
      219*T1^13*T2^5 + 171*T2^6 + 192*T1*T2^6 - 754*T1^2*T2^6 + 
      48*T1^3*T2^6 - 861*T1^4*T2^6 + 320*T1^5*T2^6 - 635*T1^6*T2^6 + 
      213*T1^7*T2^6 - 635*T1^8*T2^6 + 320*T1^9*T2^6 - 861*T1^10*T2^6 + 
      48*T1^11*T2^6 - 754*T1^12*T2^6 + 192*T1^13*T2^6 + 171*T1^14*T2^6 - 
      99*T2^7 - 288*T1*T2^7 + 550*T1^2*T2^7 + 256*T1^3*T2^7 + 477*T1^4*T2^7 + 
      320*T1^5*T2^7 + 213*T1^6*T2^7 + 184*T1^7*T2^7 + 184*T1^8*T2^7 + 
      213*T1^9*T2^7 + 320*T1^10*T2^7 + 477*T1^11*T2^7 + 256*T1^12*T2^7 + 
      550*T1^13*T2^7 - 288*T1^14*T2^7 - 99*T1^15*T2^7 + 25*T2^8 + 
      294*T1*T2^8 - 214*T1^2*T2^8 - 404*T1^3*T2^8 - 483*T1^4*T2^8 - 
      178*T1^5*T2^8 - 635*T1^6*T2^8 + 184*T1^7*T2^8 - 540*T1^8*T2^8 + 
      184*T1^9*T2^8 - 635*T1^10*T2^8 - 178*T1^11*T2^8 - 483*T1^12*T2^8 - 
      404*T1^13*T2^8 - 214*T1^14*T2^8 + 294*T1^15*T2^8 + 25*T1^16*T2^8 - 
      99*T1*T2^9 - 288*T1^2*T2^9 + 550*T1^3*T2^9 + 256*T1^4*T2^9 + 
      477*T1^5*T2^9 + 320*T1^6*T2^9 + 213*T1^7*T2^9 + 184*T1^8*T2^9 + 
      184*T1^9*T2^9 + 213*T1^10*T2^9 + 320*T1^11*T2^9 + 477*T1^12*T2^9 + 
      256*T1^13*T2^9 + 550*T1^14*T2^9 - 288*T1^15*T2^9 - 99*T1^16*T2^9 + 
      171*T1^2*T2^10 + 192*T1^3*T2^10 - 754*T1^4*T2^10 + 48*T1^5*T2^10 - 
      861*T1^6*T2^10 + 320*T1^7*T2^10 - 635*T1^8*T2^10 + 213*T1^9*T2^10 - 
      635*T1^10*T2^10 + 320*T1^11*T2^10 - 861*T1^12*T2^10 + 48*T1^13*T2^10 - 
      754*T1^14*T2^10 + 192*T1^15*T2^10 + 171*T1^16*T2^10 - 219*T1^3*T2^11 - 
      48*T1^4*T2^11 + 706*T1^5*T2^11 + 48*T1^6*T2^11 + 477*T1^7*T2^11 - 
      178*T1^8*T2^11 + 320*T1^9*T2^11 + 320*T1^10*T2^11 - 178*T1^11*T2^11 + 
      477*T1^12*T2^11 + 48*T1^13*T2^11 + 706*T1^14*T2^11 - 48*T1^15*T2^11 - 
      219*T1^16*T2^11 + 231*T1^4*T2^12 - 48*T1^5*T2^12 - 754*T1^6*T2^12 + 
      256*T1^7*T2^12 - 483*T1^8*T2^12 + 477*T1^9*T2^12 - 861*T1^10*T2^12 + 
      477*T1^11*T2^12 - 483*T1^12*T2^12 + 256*T1^13*T2^12 - 754*T1^14*T2^12 - 
      48*T1^15*T2^12 + 231*T1^16*T2^12 - 219*T1^5*T2^13 + 192*T1^6*T2^13 + 
      550*T1^7*T2^13 - 404*T1^8*T2^13 + 256*T1^9*T2^13 + 48*T1^10*T2^13 + 
      48*T1^11*T2^13 + 256*T1^12*T2^13 - 404*T1^13*T2^13 + 550*T1^14*T2^13 + 
      192*T1^15*T2^13 - 219*T1^16*T2^13 + 171*T1^6*T2^14 - 288*T1^7*T2^14 - 
      214*T1^8*T2^14 + 550*T1^9*T2^14 - 754*T1^10*T2^14 + 706*T1^11*T2^14 - 
      754*T1^12*T2^14 + 550*T1^13*T2^14 - 214*T1^14*T2^14 - 288*T1^15*T2^14 + 
      171*T1^16*T2^14 - 99*T1^7*T2^15 + 294*T1^8*T2^15 - 288*T1^9*T2^15 + 
      192*T1^10*T2^15 - 48*T1^11*T2^15 - 48*T1^12*T2^15 + 192*T1^13*T2^15 - 
      288*T1^14*T2^15 + 294*T1^15*T2^15 - 99*T1^16*T2^15 + 25*T1^8*T2^16 - 
      99*T1^9*T2^16 + 171*T1^10*T2^16 - 219*T1^11*T2^16 + 231*T1^12*T2^16 - 
      219*T1^13*T2^16 + 171*T1^14*T2^16 - 99*T1^15*T2^16 + 25*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 727] -> 
  {-((4 - 18*T + 35*T^2 - 43*T^3 + 35*T^4 - 18*T^5 + 4*T^6)/T^3), 
   -((144 - 636*T1 + 1212*T1^2 - 1480*T1^3 + 1212*T1^4 - 636*T1^5 + 
      144*T1^6 - 636*T2 + 2182*T1*T2 - 2572*T1^2*T2 + 1200*T1^3*T2 + 
      1200*T1^4*T2 - 2572*T1^5*T2 + 2182*T1^6*T2 - 636*T1^7*T2 + 1212*T2^2 - 
      2572*T1*T2^2 - 979*T1^2*T2^2 + 6109*T1^3*T2^2 - 8913*T1^4*T2^2 + 
      6109*T1^5*T2^2 - 979*T1^6*T2^2 - 2572*T1^7*T2^2 + 1212*T1^8*T2^2 - 
      1480*T2^3 + 1200*T1*T2^3 + 6109*T1^2*T2^3 - 8744*T1^3*T2^3 + 
      4620*T1^4*T2^3 + 4620*T1^5*T2^3 - 8744*T1^6*T2^3 + 6109*T1^7*T2^3 + 
      1200*T1^8*T2^3 - 1480*T1^9*T2^3 + 1212*T2^4 + 1200*T1*T2^4 - 
      8913*T1^2*T2^4 + 4620*T1^3*T2^4 + 3339*T1^4*T2^4 - 9033*T1^5*T2^4 + 
      3339*T1^6*T2^4 + 4620*T1^7*T2^4 - 8913*T1^8*T2^4 + 1200*T1^9*T2^4 + 
      1212*T1^10*T2^4 - 636*T2^5 - 2572*T1*T2^5 + 6109*T1^2*T2^5 + 
      4620*T1^3*T2^5 - 9033*T1^4*T2^5 + 5756*T1^5*T2^5 + 5756*T1^6*T2^5 - 
      9033*T1^7*T2^5 + 4620*T1^8*T2^5 + 6109*T1^9*T2^5 - 2572*T1^10*T2^5 - 
      636*T1^11*T2^5 + 144*T2^6 + 2182*T1*T2^6 - 979*T1^2*T2^6 - 
      8744*T1^3*T2^6 + 3339*T1^4*T2^6 + 5756*T1^5*T2^6 - 12828*T1^6*T2^6 + 
      5756*T1^7*T2^6 + 3339*T1^8*T2^6 - 8744*T1^9*T2^6 - 979*T1^10*T2^6 + 
      2182*T1^11*T2^6 + 144*T1^12*T2^6 - 636*T1*T2^7 - 2572*T1^2*T2^7 + 
      6109*T1^3*T2^7 + 4620*T1^4*T2^7 - 9033*T1^5*T2^7 + 5756*T1^6*T2^7 + 
      5756*T1^7*T2^7 - 9033*T1^8*T2^7 + 4620*T1^9*T2^7 + 6109*T1^10*T2^7 - 
      2572*T1^11*T2^7 - 636*T1^12*T2^7 + 1212*T1^2*T2^8 + 1200*T1^3*T2^8 - 
      8913*T1^4*T2^8 + 4620*T1^5*T2^8 + 3339*T1^6*T2^8 - 9033*T1^7*T2^8 + 
      3339*T1^8*T2^8 + 4620*T1^9*T2^8 - 8913*T1^10*T2^8 + 1200*T1^11*T2^8 + 
      1212*T1^12*T2^8 - 1480*T1^3*T2^9 + 1200*T1^4*T2^9 + 6109*T1^5*T2^9 - 
      8744*T1^6*T2^9 + 4620*T1^7*T2^9 + 4620*T1^8*T2^9 - 8744*T1^9*T2^9 + 
      6109*T1^10*T2^9 + 1200*T1^11*T2^9 - 1480*T1^12*T2^9 + 1212*T1^4*T2^10 - 
      2572*T1^5*T2^10 - 979*T1^6*T2^10 + 6109*T1^7*T2^10 - 8913*T1^8*T2^10 + 
      6109*T1^9*T2^10 - 979*T1^10*T2^10 - 2572*T1^11*T2^10 + 
      1212*T1^12*T2^10 - 636*T1^5*T2^11 + 2182*T1^6*T2^11 - 2572*T1^7*T2^11 + 
      1200*T1^8*T2^11 + 1200*T1^9*T2^11 - 2572*T1^10*T2^11 + 
      2182*T1^11*T2^11 - 636*T1^12*T2^11 + 144*T1^6*T2^12 - 636*T1^7*T2^12 + 
      1212*T1^8*T2^12 - 1480*T1^9*T2^12 + 1212*T1^10*T2^12 - 
      636*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, (1 - 3*T1 + 5*T1^2 - 7*T1^3 + 9*T1^4 - 7*T1^5 + 5*T1^6 - 3*T1^7 + 
     T1^8 - 3*T2 + 6*T1*T2 - 6*T1^2*T2 + 6*T1^3*T2 - 6*T1^4*T2 - 6*T1^5*T2 + 
     6*T1^6*T2 - 6*T1^7*T2 + 6*T1^8*T2 - 3*T1^9*T2 + 5*T2^2 - 6*T1*T2^2 + 
     2*T1^2*T2^2 - 10*T1^3*T2^2 + 34*T1^4*T2^2 - 32*T1^5*T2^2 + 
     34*T1^6*T2^2 - 10*T1^7*T2^2 + 2*T1^8*T2^2 - 6*T1^9*T2^2 + 5*T1^10*T2^2 - 
     7*T2^3 + 6*T1*T2^3 - 10*T1^2*T2^3 + 54*T1^3*T2^3 - 114*T1^4*T2^3 + 
     48*T1^5*T2^3 + 48*T1^6*T2^3 - 114*T1^7*T2^3 + 54*T1^8*T2^3 - 
     10*T1^9*T2^3 + 6*T1^10*T2^3 - 7*T1^11*T2^3 + 9*T2^4 - 6*T1*T2^4 + 
     34*T1^2*T2^4 - 114*T1^3*T2^4 + 162*T1^4*T2^4 + 54*T1^5*T2^4 - 
     148*T1^6*T2^4 + 54*T1^7*T2^4 + 162*T1^8*T2^4 - 114*T1^9*T2^4 + 
     34*T1^10*T2^4 - 6*T1^11*T2^4 + 9*T1^12*T2^4 - 7*T2^5 - 6*T1*T2^5 - 
     32*T1^2*T2^5 + 48*T1^3*T2^5 + 54*T1^4*T2^5 - 408*T1^5*T2^5 + 
     186*T1^6*T2^5 + 186*T1^7*T2^5 - 408*T1^8*T2^5 + 54*T1^9*T2^5 + 
     48*T1^10*T2^5 - 32*T1^11*T2^5 - 6*T1^12*T2^5 - 7*T1^13*T2^5 + 5*T2^6 + 
     6*T1*T2^6 + 34*T1^2*T2^6 + 48*T1^3*T2^6 - 148*T1^4*T2^6 + 
     186*T1^5*T2^6 + 643*T1^6*T2^6 - 905*T1^7*T2^6 + 643*T1^8*T2^6 + 
     186*T1^9*T2^6 - 148*T1^10*T2^6 + 48*T1^11*T2^6 + 34*T1^12*T2^6 + 
     6*T1^13*T2^6 + 5*T1^14*T2^6 - 3*T2^7 - 6*T1*T2^7 - 10*T1^2*T2^7 - 
     114*T1^3*T2^7 + 54*T1^4*T2^7 + 186*T1^5*T2^7 - 905*T1^6*T2^7 + 
     324*T1^7*T2^7 + 324*T1^8*T2^7 - 905*T1^9*T2^7 + 186*T1^10*T2^7 + 
     54*T1^11*T2^7 - 114*T1^12*T2^7 - 10*T1^13*T2^7 - 6*T1^14*T2^7 - 
     3*T1^15*T2^7 + T2^8 + 6*T1*T2^8 + 2*T1^2*T2^8 + 54*T1^3*T2^8 + 
     162*T1^4*T2^8 - 408*T1^5*T2^8 + 643*T1^6*T2^8 + 324*T1^7*T2^8 - 
     492*T1^8*T2^8 + 324*T1^9*T2^8 + 643*T1^10*T2^8 - 408*T1^11*T2^8 + 
     162*T1^12*T2^8 + 54*T1^13*T2^8 + 2*T1^14*T2^8 + 6*T1^15*T2^8 + 
     T1^16*T2^8 - 3*T1*T2^9 - 6*T1^2*T2^9 - 10*T1^3*T2^9 - 114*T1^4*T2^9 + 
     54*T1^5*T2^9 + 186*T1^6*T2^9 - 905*T1^7*T2^9 + 324*T1^8*T2^9 + 
     324*T1^9*T2^9 - 905*T1^10*T2^9 + 186*T1^11*T2^9 + 54*T1^12*T2^9 - 
     114*T1^13*T2^9 - 10*T1^14*T2^9 - 6*T1^15*T2^9 - 3*T1^16*T2^9 + 
     5*T1^2*T2^10 + 6*T1^3*T2^10 + 34*T1^4*T2^10 + 48*T1^5*T2^10 - 
     148*T1^6*T2^10 + 186*T1^7*T2^10 + 643*T1^8*T2^10 - 905*T1^9*T2^10 + 
     643*T1^10*T2^10 + 186*T1^11*T2^10 - 148*T1^12*T2^10 + 48*T1^13*T2^10 + 
     34*T1^14*T2^10 + 6*T1^15*T2^10 + 5*T1^16*T2^10 - 7*T1^3*T2^11 - 
     6*T1^4*T2^11 - 32*T1^5*T2^11 + 48*T1^6*T2^11 + 54*T1^7*T2^11 - 
     408*T1^8*T2^11 + 186*T1^9*T2^11 + 186*T1^10*T2^11 - 408*T1^11*T2^11 + 
     54*T1^12*T2^11 + 48*T1^13*T2^11 - 32*T1^14*T2^11 - 6*T1^15*T2^11 - 
     7*T1^16*T2^11 + 9*T1^4*T2^12 - 6*T1^5*T2^12 + 34*T1^6*T2^12 - 
     114*T1^7*T2^12 + 162*T1^8*T2^12 + 54*T1^9*T2^12 - 148*T1^10*T2^12 + 
     54*T1^11*T2^12 + 162*T1^12*T2^12 - 114*T1^13*T2^12 + 34*T1^14*T2^12 - 
     6*T1^15*T2^12 + 9*T1^16*T2^12 - 7*T1^5*T2^13 + 6*T1^6*T2^13 - 
     10*T1^7*T2^13 + 54*T1^8*T2^13 - 114*T1^9*T2^13 + 48*T1^10*T2^13 + 
     48*T1^11*T2^13 - 114*T1^12*T2^13 + 54*T1^13*T2^13 - 10*T1^14*T2^13 + 
     6*T1^15*T2^13 - 7*T1^16*T2^13 + 5*T1^6*T2^14 - 6*T1^7*T2^14 + 
     2*T1^8*T2^14 - 10*T1^9*T2^14 + 34*T1^10*T2^14 - 32*T1^11*T2^14 + 
     34*T1^12*T2^14 - 10*T1^13*T2^14 + 2*T1^14*T2^14 - 6*T1^15*T2^14 + 
     5*T1^16*T2^14 - 3*T1^7*T2^15 + 6*T1^8*T2^15 - 6*T1^9*T2^15 + 
     6*T1^10*T2^15 - 6*T1^11*T2^15 - 6*T1^12*T2^15 + 6*T1^13*T2^15 - 
     6*T1^14*T2^15 + 6*T1^15*T2^15 - 3*T1^16*T2^15 + T1^8*T2^16 - 
     3*T1^9*T2^16 + 5*T1^10*T2^16 - 7*T1^11*T2^16 + 9*T1^12*T2^16 - 
     7*T1^13*T2^16 + 5*T1^14*T2^16 - 3*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 729] -> 
  {(4 - 18*T + 38*T^2 - 47*T^3 + 38*T^4 - 18*T^5 + 4*T^6)/T^3, 
   (64 - 284*T1 + 584*T1^2 - 712*T1^3 + 584*T1^4 - 284*T1^5 + 64*T1^6 - 
     284*T2 + 982*T1*T2 - 1352*T1^2*T2 + 584*T1^3*T2 + 584*T1^4*T2 - 
     1352*T1^5*T2 + 982*T1^6*T2 - 284*T1^7*T2 + 584*T2^2 - 1352*T1*T2^2 + 
     305*T1^2*T2^2 + 2677*T1^3*T2^2 - 3859*T1^4*T2^2 + 2677*T1^5*T2^2 + 
     305*T1^6*T2^2 - 1352*T1^7*T2^2 + 584*T1^8*T2^2 - 712*T2^3 + 
     584*T1*T2^3 + 2677*T1^2*T2^3 - 5798*T1^3*T2^3 + 2534*T1^4*T2^3 + 
     2534*T1^5*T2^3 - 5798*T1^6*T2^3 + 2677*T1^7*T2^3 + 584*T1^8*T2^3 - 
     712*T1^9*T2^3 + 584*T2^4 + 584*T1*T2^4 - 3859*T1^2*T2^4 + 
     2534*T1^3*T2^4 + 6285*T1^4*T2^4 - 9723*T1^5*T2^4 + 6285*T1^6*T2^4 + 
     2534*T1^7*T2^4 - 3859*T1^8*T2^4 + 584*T1^9*T2^4 + 584*T1^10*T2^4 - 
     284*T2^5 - 1352*T1*T2^5 + 2677*T1^2*T2^5 + 2534*T1^3*T2^5 - 
     9723*T1^4*T2^5 + 4428*T1^5*T2^5 + 4428*T1^6*T2^5 - 9723*T1^7*T2^5 + 
     2534*T1^8*T2^5 + 2677*T1^9*T2^5 - 1352*T1^10*T2^5 - 284*T1^11*T2^5 + 
     64*T2^6 + 982*T1*T2^6 + 305*T1^2*T2^6 - 5798*T1^3*T2^6 + 
     6285*T1^4*T2^6 + 4428*T1^5*T2^6 - 8748*T1^6*T2^6 + 4428*T1^7*T2^6 + 
     6285*T1^8*T2^6 - 5798*T1^9*T2^6 + 305*T1^10*T2^6 + 982*T1^11*T2^6 + 
     64*T1^12*T2^6 - 284*T1*T2^7 - 1352*T1^2*T2^7 + 2677*T1^3*T2^7 + 
     2534*T1^4*T2^7 - 9723*T1^5*T2^7 + 4428*T1^6*T2^7 + 4428*T1^7*T2^7 - 
     9723*T1^8*T2^7 + 2534*T1^9*T2^7 + 2677*T1^10*T2^7 - 1352*T1^11*T2^7 - 
     284*T1^12*T2^7 + 584*T1^2*T2^8 + 584*T1^3*T2^8 - 3859*T1^4*T2^8 + 
     2534*T1^5*T2^8 + 6285*T1^6*T2^8 - 9723*T1^7*T2^8 + 6285*T1^8*T2^8 + 
     2534*T1^9*T2^8 - 3859*T1^10*T2^8 + 584*T1^11*T2^8 + 584*T1^12*T2^8 - 
     712*T1^3*T2^9 + 584*T1^4*T2^9 + 2677*T1^5*T2^9 - 5798*T1^6*T2^9 + 
     2534*T1^7*T2^9 + 2534*T1^8*T2^9 - 5798*T1^9*T2^9 + 2677*T1^10*T2^9 + 
     584*T1^11*T2^9 - 712*T1^12*T2^9 + 584*T1^4*T2^10 - 1352*T1^5*T2^10 + 
     305*T1^6*T2^10 + 2677*T1^7*T2^10 - 3859*T1^8*T2^10 + 2677*T1^9*T2^10 + 
     305*T1^10*T2^10 - 1352*T1^11*T2^10 + 584*T1^12*T2^10 - 284*T1^5*T2^11 + 
     982*T1^6*T2^11 - 1352*T1^7*T2^11 + 584*T1^8*T2^11 + 584*T1^9*T2^11 - 
     1352*T1^10*T2^11 + 982*T1^11*T2^11 - 284*T1^12*T2^11 + 64*T1^6*T2^12 - 
     284*T1^7*T2^12 + 584*T1^8*T2^12 - 712*T1^9*T2^12 + 584*T1^10*T2^12 - 
     284*T1^11*T2^12 + 64*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 730] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^3), 
   -((144 - 636*T1 + 1180*T1^2 - 1416*T1^3 + 1180*T1^4 - 636*T1^5 + 
      144*T1^6 - 636*T2 + 2182*T1*T2 - 2428*T1^2*T2 + 1056*T1^3*T2 + 
      1056*T1^4*T2 - 2428*T1^5*T2 + 2182*T1^6*T2 - 636*T1^7*T2 + 1180*T2^2 - 
      2428*T1*T2^2 - 1551*T1^2*T2^2 + 6487*T1^3*T2^2 - 8737*T1^4*T2^2 + 
      6487*T1^5*T2^2 - 1551*T1^6*T2^2 - 2428*T1^7*T2^2 + 1180*T1^8*T2^2 - 
      1416*T2^3 + 1056*T1*T2^3 + 6487*T1^2*T2^3 - 8286*T1^3*T2^3 + 
      3824*T1^4*T2^3 + 3824*T1^5*T2^3 - 8286*T1^6*T2^3 + 6487*T1^7*T2^3 + 
      1056*T1^8*T2^3 - 1416*T1^9*T2^3 + 1180*T2^4 + 1056*T1*T2^4 - 
      8737*T1^2*T2^4 + 3824*T1^3*T2^4 + 3267*T1^4*T2^4 - 7057*T1^5*T2^4 + 
      3267*T1^6*T2^4 + 3824*T1^7*T2^4 - 8737*T1^8*T2^4 + 1056*T1^9*T2^4 + 
      1180*T1^10*T2^4 - 636*T2^5 - 2428*T1*T2^5 + 6487*T1^2*T2^5 + 
      3824*T1^3*T2^5 - 7057*T1^4*T2^5 + 3836*T1^5*T2^5 + 3836*T1^6*T2^5 - 
      7057*T1^7*T2^5 + 3824*T1^8*T2^5 + 6487*T1^9*T2^5 - 2428*T1^10*T2^5 - 
      636*T1^11*T2^5 + 144*T2^6 + 2182*T1*T2^6 - 1551*T1^2*T2^6 - 
      8286*T1^3*T2^6 + 3267*T1^4*T2^6 + 3836*T1^5*T2^6 - 8088*T1^6*T2^6 + 
      3836*T1^7*T2^6 + 3267*T1^8*T2^6 - 8286*T1^9*T2^6 - 1551*T1^10*T2^6 + 
      2182*T1^11*T2^6 + 144*T1^12*T2^6 - 636*T1*T2^7 - 2428*T1^2*T2^7 + 
      6487*T1^3*T2^7 + 3824*T1^4*T2^7 - 7057*T1^5*T2^7 + 3836*T1^6*T2^7 + 
      3836*T1^7*T2^7 - 7057*T1^8*T2^7 + 3824*T1^9*T2^7 + 6487*T1^10*T2^7 - 
      2428*T1^11*T2^7 - 636*T1^12*T2^7 + 1180*T1^2*T2^8 + 1056*T1^3*T2^8 - 
      8737*T1^4*T2^8 + 3824*T1^5*T2^8 + 3267*T1^6*T2^8 - 7057*T1^7*T2^8 + 
      3267*T1^8*T2^8 + 3824*T1^9*T2^8 - 8737*T1^10*T2^8 + 1056*T1^11*T2^8 + 
      1180*T1^12*T2^8 - 1416*T1^3*T2^9 + 1056*T1^4*T2^9 + 6487*T1^5*T2^9 - 
      8286*T1^6*T2^9 + 3824*T1^7*T2^9 + 3824*T1^8*T2^9 - 8286*T1^9*T2^9 + 
      6487*T1^10*T2^9 + 1056*T1^11*T2^9 - 1416*T1^12*T2^9 + 1180*T1^4*T2^10 - 
      2428*T1^5*T2^10 - 1551*T1^6*T2^10 + 6487*T1^7*T2^10 - 8737*T1^8*T2^10 + 
      6487*T1^9*T2^10 - 1551*T1^10*T2^10 - 2428*T1^11*T2^10 + 
      1180*T1^12*T2^10 - 636*T1^5*T2^11 + 2182*T1^6*T2^11 - 2428*T1^7*T2^11 + 
      1056*T1^8*T2^11 + 1056*T1^9*T2^11 - 2428*T1^10*T2^11 + 
      2182*T1^11*T2^11 - 636*T1^12*T2^11 + 144*T1^6*T2^12 - 636*T1^7*T2^12 + 
      1180*T1^8*T2^12 - 1416*T1^9*T2^12 + 1180*T1^10*T2^12 - 
      636*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 731] -> 
  {-(((2 - 3*T + 2*T^2)*(2 - 4*T + 3*T^2 - 4*T^3 + 2*T^4))/T^3), 
   -((128 - 436*T1 + 672*T1^2 - 760*T1^3 + 672*T1^4 - 436*T1^5 + 128*T1^6 - 
      436*T2 + 1054*T1*T2 - 816*T1^2*T2 + 304*T1^3*T2 + 304*T1^4*T2 - 
      816*T1^5*T2 + 1054*T1^6*T2 - 436*T1^7*T2 + 672*T2^2 - 816*T1*T2^2 - 
      909*T1^2*T2^2 + 1779*T1^3*T2^2 - 2101*T1^4*T2^2 + 1779*T1^5*T2^2 - 
      909*T1^6*T2^2 - 816*T1^7*T2^2 + 672*T1^8*T2^2 - 760*T2^3 + 
      304*T1*T2^3 + 1779*T1^2*T2^3 - 1142*T1^3*T2^3 + 462*T1^4*T2^3 + 
      462*T1^5*T2^3 - 1142*T1^6*T2^3 + 1779*T1^7*T2^3 + 304*T1^8*T2^3 - 
      760*T1^9*T2^3 + 672*T2^4 + 304*T1*T2^4 - 2101*T1^2*T2^4 + 
      462*T1^3*T2^4 - 263*T1^4*T2^4 - 69*T1^5*T2^4 - 263*T1^6*T2^4 + 
      462*T1^7*T2^4 - 2101*T1^8*T2^4 + 304*T1^9*T2^4 + 672*T1^10*T2^4 - 
      436*T2^5 - 816*T1*T2^5 + 1779*T1^2*T2^5 + 462*T1^3*T2^5 - 
      69*T1^4*T2^5 + 256*T1^5*T2^5 + 256*T1^6*T2^5 - 69*T1^7*T2^5 + 
      462*T1^8*T2^5 + 1779*T1^9*T2^5 - 816*T1^10*T2^5 - 436*T1^11*T2^5 + 
      128*T2^6 + 1054*T1*T2^6 - 909*T1^2*T2^6 - 1142*T1^3*T2^6 - 
      263*T1^4*T2^6 + 256*T1^5*T2^6 - 744*T1^6*T2^6 + 256*T1^7*T2^6 - 
      263*T1^8*T2^6 - 1142*T1^9*T2^6 - 909*T1^10*T2^6 + 1054*T1^11*T2^6 + 
      128*T1^12*T2^6 - 436*T1*T2^7 - 816*T1^2*T2^7 + 1779*T1^3*T2^7 + 
      462*T1^4*T2^7 - 69*T1^5*T2^7 + 256*T1^6*T2^7 + 256*T1^7*T2^7 - 
      69*T1^8*T2^7 + 462*T1^9*T2^7 + 1779*T1^10*T2^7 - 816*T1^11*T2^7 - 
      436*T1^12*T2^7 + 672*T1^2*T2^8 + 304*T1^3*T2^8 - 2101*T1^4*T2^8 + 
      462*T1^5*T2^8 - 263*T1^6*T2^8 - 69*T1^7*T2^8 - 263*T1^8*T2^8 + 
      462*T1^9*T2^8 - 2101*T1^10*T2^8 + 304*T1^11*T2^8 + 672*T1^12*T2^8 - 
      760*T1^3*T2^9 + 304*T1^4*T2^9 + 1779*T1^5*T2^9 - 1142*T1^6*T2^9 + 
      462*T1^7*T2^9 + 462*T1^8*T2^9 - 1142*T1^9*T2^9 + 1779*T1^10*T2^9 + 
      304*T1^11*T2^9 - 760*T1^12*T2^9 + 672*T1^4*T2^10 - 816*T1^5*T2^10 - 
      909*T1^6*T2^10 + 1779*T1^7*T2^10 - 2101*T1^8*T2^10 + 1779*T1^9*T2^10 - 
      909*T1^10*T2^10 - 816*T1^11*T2^10 + 672*T1^12*T2^10 - 436*T1^5*T2^11 + 
      1054*T1^6*T2^11 - 816*T1^7*T2^11 + 304*T1^8*T2^11 + 304*T1^9*T2^11 - 
      816*T1^10*T2^11 + 1054*T1^11*T2^11 - 436*T1^12*T2^11 + 128*T1^6*T2^12 - 
      436*T1^7*T2^12 + 672*T1^8*T2^12 - 760*T1^9*T2^12 + 672*T1^10*T2^12 - 
      436*T1^11*T2^12 + 128*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 732] -> 
  {(3 - 11*T + 21*T^2 - 25*T^3 + 21*T^4 - 11*T^5 + 3*T^6)/T^3, 
   -((36 - 130*T1 + 246*T1^2 - 290*T1^3 + 246*T1^4 - 130*T1^5 + 36*T1^6 - 
      130*T2 + 340*T1*T2 - 420*T1^2*T2 + 160*T1^3*T2 + 160*T1^4*T2 - 
      420*T1^5*T2 + 340*T1^6*T2 - 130*T1^7*T2 + 246*T2^2 - 420*T1*T2^2 + 
      231*T1^2*T2^2 + 397*T1^3*T2^2 - 541*T1^4*T2^2 + 397*T1^5*T2^2 + 
      231*T1^6*T2^2 - 420*T1^7*T2^2 + 246*T1^8*T2^2 - 290*T2^3 + 
      160*T1*T2^3 + 397*T1^2*T2^3 - 1060*T1^3*T2^3 + 364*T1^4*T2^3 + 
      364*T1^5*T2^3 - 1060*T1^6*T2^3 + 397*T1^7*T2^3 + 160*T1^8*T2^3 - 
      290*T1^9*T2^3 + 246*T2^4 + 160*T1*T2^4 - 541*T1^2*T2^4 + 
      364*T1^3*T2^4 + 1455*T1^4*T2^4 - 1929*T1^5*T2^4 + 1455*T1^6*T2^4 + 
      364*T1^7*T2^4 - 541*T1^8*T2^4 + 160*T1^9*T2^4 + 246*T1^10*T2^4 - 
      130*T2^5 - 420*T1*T2^5 + 397*T1^2*T2^5 + 364*T1^3*T2^5 - 
      1929*T1^4*T2^5 + 772*T1^5*T2^5 + 772*T1^6*T2^5 - 1929*T1^7*T2^5 + 
      364*T1^8*T2^5 + 397*T1^9*T2^5 - 420*T1^10*T2^5 - 130*T1^11*T2^5 + 
      36*T2^6 + 340*T1*T2^6 + 231*T1^2*T2^6 - 1060*T1^3*T2^6 + 
      1455*T1^4*T2^6 + 772*T1^5*T2^6 - 1488*T1^6*T2^6 + 772*T1^7*T2^6 + 
      1455*T1^8*T2^6 - 1060*T1^9*T2^6 + 231*T1^10*T2^6 + 340*T1^11*T2^6 + 
      36*T1^12*T2^6 - 130*T1*T2^7 - 420*T1^2*T2^7 + 397*T1^3*T2^7 + 
      364*T1^4*T2^7 - 1929*T1^5*T2^7 + 772*T1^6*T2^7 + 772*T1^7*T2^7 - 
      1929*T1^8*T2^7 + 364*T1^9*T2^7 + 397*T1^10*T2^7 - 420*T1^11*T2^7 - 
      130*T1^12*T2^7 + 246*T1^2*T2^8 + 160*T1^3*T2^8 - 541*T1^4*T2^8 + 
      364*T1^5*T2^8 + 1455*T1^6*T2^8 - 1929*T1^7*T2^8 + 1455*T1^8*T2^8 + 
      364*T1^9*T2^8 - 541*T1^10*T2^8 + 160*T1^11*T2^8 + 246*T1^12*T2^8 - 
      290*T1^3*T2^9 + 160*T1^4*T2^9 + 397*T1^5*T2^9 - 1060*T1^6*T2^9 + 
      364*T1^7*T2^9 + 364*T1^8*T2^9 - 1060*T1^9*T2^9 + 397*T1^10*T2^9 + 
      160*T1^11*T2^9 - 290*T1^12*T2^9 + 246*T1^4*T2^10 - 420*T1^5*T2^10 + 
      231*T1^6*T2^10 + 397*T1^7*T2^10 - 541*T1^8*T2^10 + 397*T1^9*T2^10 + 
      231*T1^10*T2^10 - 420*T1^11*T2^10 + 246*T1^12*T2^10 - 130*T1^5*T2^11 + 
      340*T1^6*T2^11 - 420*T1^7*T2^11 + 160*T1^8*T2^11 + 160*T1^9*T2^11 - 
      420*T1^10*T2^11 + 340*T1^11*T2^11 - 130*T1^12*T2^11 + 36*T1^6*T2^12 - 
      130*T1^7*T2^12 + 246*T1^8*T2^12 - 290*T1^9*T2^12 + 246*T1^10*T2^12 - 
      130*T1^11*T2^12 + 36*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 733] -> 
  {-((3 - 11*T + 15*T^2 - 15*T^3 + 15*T^4 - 11*T^5 + 3*T^6)/T^3), 
   -((63 - 229*T1 + 309*T1^2 - 309*T1^3 + 309*T1^4 - 229*T1^5 + 63*T1^6 - 
      229*T2 + 604*T1*T2 - 292*T1^2*T2 - 292*T1^5*T2 + 604*T1^6*T2 - 
      229*T1^7*T2 + 309*T2^2 - 292*T1*T2^2 - 1202*T1^2*T2^2 + 
      1506*T1^3*T2^2 - 1146*T1^4*T2^2 + 1506*T1^5*T2^2 - 1202*T1^6*T2^2 - 
      292*T1^7*T2^2 + 309*T1^8*T2^2 - 309*T2^3 + 1506*T1^2*T2^3 - 
      468*T1^3*T2^3 - 264*T1^4*T2^3 - 264*T1^5*T2^3 - 468*T1^6*T2^3 + 
      1506*T1^7*T2^3 - 309*T1^9*T2^3 + 309*T2^4 - 1146*T1^2*T2^4 - 
      264*T1^3*T2^4 + 183*T1^4*T2^4 + 545*T1^5*T2^4 + 183*T1^6*T2^4 - 
      264*T1^7*T2^4 - 1146*T1^8*T2^4 + 309*T1^10*T2^4 - 229*T2^5 - 
      292*T1*T2^5 + 1506*T1^2*T2^5 - 264*T1^3*T2^5 + 545*T1^4*T2^5 - 
      500*T1^5*T2^5 - 500*T1^6*T2^5 + 545*T1^7*T2^5 - 264*T1^8*T2^5 + 
      1506*T1^9*T2^5 - 292*T1^10*T2^5 - 229*T1^11*T2^5 + 63*T2^6 + 
      604*T1*T2^6 - 1202*T1^2*T2^6 - 468*T1^3*T2^6 + 183*T1^4*T2^6 - 
      500*T1^5*T2^6 + 1020*T1^6*T2^6 - 500*T1^7*T2^6 + 183*T1^8*T2^6 - 
      468*T1^9*T2^6 - 1202*T1^10*T2^6 + 604*T1^11*T2^6 + 63*T1^12*T2^6 - 
      229*T1*T2^7 - 292*T1^2*T2^7 + 1506*T1^3*T2^7 - 264*T1^4*T2^7 + 
      545*T1^5*T2^7 - 500*T1^6*T2^7 - 500*T1^7*T2^7 + 545*T1^8*T2^7 - 
      264*T1^9*T2^7 + 1506*T1^10*T2^7 - 292*T1^11*T2^7 - 229*T1^12*T2^7 + 
      309*T1^2*T2^8 - 1146*T1^4*T2^8 - 264*T1^5*T2^8 + 183*T1^6*T2^8 + 
      545*T1^7*T2^8 + 183*T1^8*T2^8 - 264*T1^9*T2^8 - 1146*T1^10*T2^8 + 
      309*T1^12*T2^8 - 309*T1^3*T2^9 + 1506*T1^5*T2^9 - 468*T1^6*T2^9 - 
      264*T1^7*T2^9 - 264*T1^8*T2^9 - 468*T1^9*T2^9 + 1506*T1^10*T2^9 - 
      309*T1^12*T2^9 + 309*T1^4*T2^10 - 292*T1^5*T2^10 - 1202*T1^6*T2^10 + 
      1506*T1^7*T2^10 - 1146*T1^8*T2^10 + 1506*T1^9*T2^10 - 
      1202*T1^10*T2^10 - 292*T1^11*T2^10 + 309*T1^12*T2^10 - 229*T1^5*T2^11 + 
      604*T1^6*T2^11 - 292*T1^7*T2^11 - 292*T1^10*T2^11 + 604*T1^11*T2^11 - 
      229*T1^12*T2^11 + 63*T1^6*T2^12 - 229*T1^7*T2^12 + 309*T1^8*T2^12 - 
      309*T1^9*T2^12 + 309*T1^10*T2^12 - 229*T1^11*T2^12 + 63*T1^12*T2^12)/
     (T1^6*T2^6))}, 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), -((9 - 44*T1 + 113*T1^2 - 199*T1^3 + 237*T1^4 - 199*T1^5 + 
      113*T1^6 - 44*T1^7 + 9*T1^8 - 44*T2 + 172*T1*T2 - 340*T1^2*T2 + 
      424*T1^3*T2 - 188*T1^4*T2 - 188*T1^5*T2 + 424*T1^6*T2 - 340*T1^7*T2 + 
      172*T1^8*T2 - 44*T1^9*T2 + 113*T2^2 - 340*T1*T2^2 + 479*T1^2*T2^2 - 
      327*T1^3*T2^2 - 425*T1^4*T2^2 + 765*T1^5*T2^2 - 425*T1^6*T2^2 - 
      327*T1^7*T2^2 + 479*T1^8*T2^2 - 340*T1^9*T2^2 + 113*T1^10*T2^2 - 
      199*T2^3 + 424*T1*T2^3 - 327*T1^2*T2^3 - 118*T1^3*T2^3 + 
      1161*T1^4*T2^3 - 550*T1^5*T2^3 - 550*T1^6*T2^3 + 1161*T1^7*T2^3 - 
      118*T1^8*T2^3 - 327*T1^9*T2^3 + 424*T1^10*T2^3 - 199*T1^11*T2^3 + 
      237*T2^4 - 188*T1*T2^4 - 425*T1^2*T2^4 + 1161*T1^3*T2^4 - 
      2161*T1^4*T2^4 + 63*T1^5*T2^4 + 681*T1^6*T2^4 + 63*T1^7*T2^4 - 
      2161*T1^8*T2^4 + 1161*T1^9*T2^4 - 425*T1^10*T2^4 - 188*T1^11*T2^4 + 
      237*T1^12*T2^4 - 199*T2^5 - 188*T1*T2^5 + 765*T1^2*T2^5 - 
      550*T1^3*T2^5 + 63*T1^4*T2^5 + 3546*T1^5*T2^5 - 1538*T1^6*T2^5 - 
      1538*T1^7*T2^5 + 3546*T1^8*T2^5 + 63*T1^9*T2^5 - 550*T1^10*T2^5 + 
      765*T1^11*T2^5 - 188*T1^12*T2^5 - 199*T1^13*T2^5 + 113*T2^6 + 
      424*T1*T2^6 - 425*T1^2*T2^6 - 550*T1^3*T2^6 + 681*T1^4*T2^6 - 
      1538*T1^5*T2^6 - 6033*T1^6*T2^6 + 8645*T1^7*T2^6 - 6033*T1^8*T2^6 - 
      1538*T1^9*T2^6 + 681*T1^10*T2^6 - 550*T1^11*T2^6 - 425*T1^12*T2^6 + 
      424*T1^13*T2^6 + 113*T1^14*T2^6 - 44*T2^7 - 340*T1*T2^7 - 
      327*T1^2*T2^7 + 1161*T1^3*T2^7 + 63*T1^4*T2^7 - 1538*T1^5*T2^7 + 
      8645*T1^6*T2^7 - 3690*T1^7*T2^7 - 3690*T1^8*T2^7 + 8645*T1^9*T2^7 - 
      1538*T1^10*T2^7 + 63*T1^11*T2^7 + 1161*T1^12*T2^7 - 327*T1^13*T2^7 - 
      340*T1^14*T2^7 - 44*T1^15*T2^7 + 9*T2^8 + 172*T1*T2^8 + 479*T1^2*T2^8 - 
      118*T1^3*T2^8 - 2161*T1^4*T2^8 + 3546*T1^5*T2^8 - 6033*T1^6*T2^8 - 
      3690*T1^7*T2^8 + 7008*T1^8*T2^8 - 3690*T1^9*T2^8 - 6033*T1^10*T2^8 + 
      3546*T1^11*T2^8 - 2161*T1^12*T2^8 - 118*T1^13*T2^8 + 479*T1^14*T2^8 + 
      172*T1^15*T2^8 + 9*T1^16*T2^8 - 44*T1*T2^9 - 340*T1^2*T2^9 - 
      327*T1^3*T2^9 + 1161*T1^4*T2^9 + 63*T1^5*T2^9 - 1538*T1^6*T2^9 + 
      8645*T1^7*T2^9 - 3690*T1^8*T2^9 - 3690*T1^9*T2^9 + 8645*T1^10*T2^9 - 
      1538*T1^11*T2^9 + 63*T1^12*T2^9 + 1161*T1^13*T2^9 - 327*T1^14*T2^9 - 
      340*T1^15*T2^9 - 44*T1^16*T2^9 + 113*T1^2*T2^10 + 424*T1^3*T2^10 - 
      425*T1^4*T2^10 - 550*T1^5*T2^10 + 681*T1^6*T2^10 - 1538*T1^7*T2^10 - 
      6033*T1^8*T2^10 + 8645*T1^9*T2^10 - 6033*T1^10*T2^10 - 
      1538*T1^11*T2^10 + 681*T1^12*T2^10 - 550*T1^13*T2^10 - 
      425*T1^14*T2^10 + 424*T1^15*T2^10 + 113*T1^16*T2^10 - 199*T1^3*T2^11 - 
      188*T1^4*T2^11 + 765*T1^5*T2^11 - 550*T1^6*T2^11 + 63*T1^7*T2^11 + 
      3546*T1^8*T2^11 - 1538*T1^9*T2^11 - 1538*T1^10*T2^11 + 
      3546*T1^11*T2^11 + 63*T1^12*T2^11 - 550*T1^13*T2^11 + 765*T1^14*T2^11 - 
      188*T1^15*T2^11 - 199*T1^16*T2^11 + 237*T1^4*T2^12 - 188*T1^5*T2^12 - 
      425*T1^6*T2^12 + 1161*T1^7*T2^12 - 2161*T1^8*T2^12 + 63*T1^9*T2^12 + 
      681*T1^10*T2^12 + 63*T1^11*T2^12 - 2161*T1^12*T2^12 + 
      1161*T1^13*T2^12 - 425*T1^14*T2^12 - 188*T1^15*T2^12 + 
      237*T1^16*T2^12 - 199*T1^5*T2^13 + 424*T1^6*T2^13 - 327*T1^7*T2^13 - 
      118*T1^8*T2^13 + 1161*T1^9*T2^13 - 550*T1^10*T2^13 - 550*T1^11*T2^13 + 
      1161*T1^12*T2^13 - 118*T1^13*T2^13 - 327*T1^14*T2^13 + 
      424*T1^15*T2^13 - 199*T1^16*T2^13 + 113*T1^6*T2^14 - 340*T1^7*T2^14 + 
      479*T1^8*T2^14 - 327*T1^9*T2^14 - 425*T1^10*T2^14 + 765*T1^11*T2^14 - 
      425*T1^12*T2^14 - 327*T1^13*T2^14 + 479*T1^14*T2^14 - 340*T1^15*T2^14 + 
      113*T1^16*T2^14 - 44*T1^7*T2^15 + 172*T1^8*T2^15 - 340*T1^9*T2^15 + 
      424*T1^10*T2^15 - 188*T1^11*T2^15 - 188*T1^12*T2^15 + 424*T1^13*T2^15 - 
      340*T1^14*T2^15 + 172*T1^15*T2^15 - 44*T1^16*T2^15 + 9*T1^8*T2^16 - 
      44*T1^9*T2^16 + 113*T1^10*T2^16 - 199*T1^11*T2^16 + 237*T1^12*T2^16 - 
      199*T1^13*T2^16 + 113*T1^14*T2^16 - 44*T1^15*T2^16 + 9*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 735] -> 
  {-(((-2 + T)*(-1 + 2*T)*(3 - 5*T + 3*T^2))/T^2), 
   -((315 - 1283*T1 + 1871*T1^2 - 1283*T1^3 + 315*T1^4 - 1283*T2 + 
      3952*T1*T2 - 2408*T1^2*T2 - 2408*T1^3*T2 + 3952*T1^4*T2 - 
      1283*T1^5*T2 + 1871*T2^2 - 2408*T1*T2^2 - 8195*T1^2*T2^2 + 
      15707*T1^3*T2^2 - 8195*T1^4*T2^2 - 2408*T1^5*T2^2 + 1871*T1^6*T2^2 - 
      1283*T2^3 - 2408*T1*T2^3 + 15707*T1^2*T2^3 - 10330*T1^3*T2^3 - 
      10330*T1^4*T2^3 + 15707*T1^5*T2^3 - 2408*T1^6*T2^3 - 1283*T1^7*T2^3 + 
      315*T2^4 + 3952*T1*T2^4 - 8195*T1^2*T2^4 - 10330*T1^3*T2^4 + 
      24372*T1^4*T2^4 - 10330*T1^5*T2^4 - 8195*T1^6*T2^4 + 3952*T1^7*T2^4 + 
      315*T1^8*T2^4 - 1283*T1*T2^5 - 2408*T1^2*T2^5 + 15707*T1^3*T2^5 - 
      10330*T1^4*T2^5 - 10330*T1^5*T2^5 + 15707*T1^6*T2^5 - 2408*T1^7*T2^5 - 
      1283*T1^8*T2^5 + 1871*T1^2*T2^6 - 2408*T1^3*T2^6 - 8195*T1^4*T2^6 + 
      15707*T1^5*T2^6 - 8195*T1^6*T2^6 - 2408*T1^7*T2^6 + 1871*T1^8*T2^6 - 
      1283*T1^3*T2^7 + 3952*T1^4*T2^7 - 2408*T1^5*T2^7 - 2408*T1^6*T2^7 + 
      3952*T1^7*T2^7 - 1283*T1^8*T2^7 + 315*T1^4*T2^8 - 1283*T1^5*T2^8 + 
      1871*T1^6*T2^8 - 1283*T1^7*T2^8 + 315*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, Alternating, 736] -> 
  {-(((1 - T + T^2)*(4 - 12*T + 15*T^2 - 12*T^3 + 4*T^4))/T^3), 
   -((8*T1 - 20*T1^2 + 24*T1^3 - 20*T1^4 + 8*T1^5 + 8*T2 - 48*T1*T2 + 
      64*T1^2*T2 - 28*T1^3*T2 - 28*T1^4*T2 + 64*T1^5*T2 - 48*T1^6*T2 + 
      8*T1^7*T2 - 20*T2^2 + 64*T1*T2^2 + 72*T1^2*T2^2 - 340*T1^3*T2^2 + 
      488*T1^4*T2^2 - 340*T1^5*T2^2 + 72*T1^6*T2^2 + 64*T1^7*T2^2 - 
      20*T1^8*T2^2 + 24*T2^3 - 28*T1*T2^3 - 340*T1^2*T2^3 + 692*T1^3*T2^3 - 
      388*T1^4*T2^3 - 388*T1^5*T2^3 + 692*T1^6*T2^3 - 340*T1^7*T2^3 - 
      28*T1^8*T2^3 + 24*T1^9*T2^3 - 20*T2^4 - 28*T1*T2^4 + 488*T1^2*T2^4 - 
      388*T1^3*T2^4 - 821*T1^4*T2^4 + 1609*T1^5*T2^4 - 821*T1^6*T2^4 - 
      388*T1^7*T2^4 + 488*T1^8*T2^4 - 28*T1^9*T2^4 - 20*T1^10*T2^4 + 8*T2^5 + 
      64*T1*T2^5 - 340*T1^2*T2^5 - 388*T1^3*T2^5 + 1609*T1^4*T2^5 - 
      956*T1^5*T2^5 - 956*T1^6*T2^5 + 1609*T1^7*T2^5 - 388*T1^8*T2^5 - 
      340*T1^9*T2^5 + 64*T1^10*T2^5 + 8*T1^11*T2^5 - 48*T1*T2^6 + 
      72*T1^2*T2^6 + 692*T1^3*T2^6 - 821*T1^4*T2^6 - 956*T1^5*T2^6 + 
      2088*T1^6*T2^6 - 956*T1^7*T2^6 - 821*T1^8*T2^6 + 692*T1^9*T2^6 + 
      72*T1^10*T2^6 - 48*T1^11*T2^6 + 8*T1*T2^7 + 64*T1^2*T2^7 - 
      340*T1^3*T2^7 - 388*T1^4*T2^7 + 1609*T1^5*T2^7 - 956*T1^6*T2^7 - 
      956*T1^7*T2^7 + 1609*T1^8*T2^7 - 388*T1^9*T2^7 - 340*T1^10*T2^7 + 
      64*T1^11*T2^7 + 8*T1^12*T2^7 - 20*T1^2*T2^8 - 28*T1^3*T2^8 + 
      488*T1^4*T2^8 - 388*T1^5*T2^8 - 821*T1^6*T2^8 + 1609*T1^7*T2^8 - 
      821*T1^8*T2^8 - 388*T1^9*T2^8 + 488*T1^10*T2^8 - 28*T1^11*T2^8 - 
      20*T1^12*T2^8 + 24*T1^3*T2^9 - 28*T1^4*T2^9 - 340*T1^5*T2^9 + 
      692*T1^6*T2^9 - 388*T1^7*T2^9 - 388*T1^8*T2^9 + 692*T1^9*T2^9 - 
      340*T1^10*T2^9 - 28*T1^11*T2^9 + 24*T1^12*T2^9 - 20*T1^4*T2^10 + 
      64*T1^5*T2^10 + 72*T1^6*T2^10 - 340*T1^7*T2^10 + 488*T1^8*T2^10 - 
      340*T1^9*T2^10 + 72*T1^10*T2^10 + 64*T1^11*T2^10 - 20*T1^12*T2^10 + 
      8*T1^5*T2^11 - 48*T1^6*T2^11 + 64*T1^7*T2^11 - 28*T1^8*T2^11 - 
      28*T1^9*T2^11 + 64*T1^10*T2^11 - 48*T1^11*T2^11 + 8*T1^12*T2^11 + 
      8*T1^7*T2^12 - 20*T1^8*T2^12 + 24*T1^9*T2^12 - 20*T1^10*T2^12 + 
      8*T1^11*T2^12)/(T1^6*T2^6))}, 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, 
   -((17 - 75*T1 + 172*T1^2 - 258*T1^3 + 297*T1^4 - 258*T1^5 + 172*T1^6 - 
      75*T1^7 + 17*T1^8 - 75*T2 + 258*T1*T2 - 435*T1^2*T2 + 390*T1^3*T2 - 
      177*T1^4*T2 - 177*T1^5*T2 + 390*T1^6*T2 - 435*T1^7*T2 + 258*T1^8*T2 - 
      75*T1^9*T2 + 172*T2^2 - 435*T1*T2^2 + 460*T1^2*T2^2 + 15*T1^3*T2^2 - 
      400*T1^4*T2^2 + 722*T1^5*T2^2 - 400*T1^6*T2^2 + 15*T1^7*T2^2 + 
      460*T1^8*T2^2 - 435*T1^9*T2^2 + 172*T1^10*T2^2 - 258*T2^3 + 
      390*T1*T2^3 + 15*T1^2*T2^3 - 862*T1^3*T2^3 + 771*T1^4*T2^3 - 
      563*T1^5*T2^3 - 563*T1^6*T2^3 + 771*T1^7*T2^3 - 862*T1^8*T2^3 + 
      15*T1^9*T2^3 + 390*T1^10*T2^3 - 258*T1^11*T2^3 + 297*T2^4 - 
      177*T1*T2^4 - 400*T1^2*T2^4 + 771*T1^3*T2^4 + 630*T1^4*T2^4 - 
      1221*T1^5*T2^4 + 2410*T1^6*T2^4 - 1221*T1^7*T2^4 + 630*T1^8*T2^4 + 
      771*T1^9*T2^4 - 400*T1^10*T2^4 - 177*T1^11*T2^4 + 297*T1^12*T2^4 - 
      258*T2^5 - 177*T1*T2^5 + 722*T1^2*T2^5 - 563*T1^3*T2^5 - 
      1221*T1^4*T2^5 + 696*T1^5*T2^5 - 1118*T1^6*T2^5 - 1118*T1^7*T2^5 + 
      696*T1^8*T2^5 - 1221*T1^9*T2^5 - 563*T1^10*T2^5 + 722*T1^11*T2^5 - 
      177*T1^12*T2^5 - 258*T1^13*T2^5 + 172*T2^6 + 390*T1*T2^6 - 
      400*T1^2*T2^6 - 563*T1^3*T2^6 + 2410*T1^4*T2^6 - 1118*T1^5*T2^6 + 
      1875*T1^6*T2^6 + 11*T1^7*T2^6 + 1875*T1^8*T2^6 - 1118*T1^9*T2^6 + 
      2410*T1^10*T2^6 - 563*T1^11*T2^6 - 400*T1^12*T2^6 + 390*T1^13*T2^6 + 
      172*T1^14*T2^6 - 75*T2^7 - 435*T1*T2^7 + 15*T1^2*T2^7 + 771*T1^3*T2^7 - 
      1221*T1^4*T2^7 - 1118*T1^5*T2^7 + 11*T1^6*T2^7 - 1368*T1^7*T2^7 - 
      1368*T1^8*T2^7 + 11*T1^9*T2^7 - 1118*T1^10*T2^7 - 1221*T1^11*T2^7 + 
      771*T1^12*T2^7 + 15*T1^13*T2^7 - 435*T1^14*T2^7 - 75*T1^15*T2^7 + 
      17*T2^8 + 258*T1*T2^8 + 460*T1^2*T2^8 - 862*T1^3*T2^8 + 630*T1^4*T2^8 + 
      696*T1^5*T2^8 + 1875*T1^6*T2^8 - 1368*T1^7*T2^8 + 3912*T1^8*T2^8 - 
      1368*T1^9*T2^8 + 1875*T1^10*T2^8 + 696*T1^11*T2^8 + 630*T1^12*T2^8 - 
      862*T1^13*T2^8 + 460*T1^14*T2^8 + 258*T1^15*T2^8 + 17*T1^16*T2^8 - 
      75*T1*T2^9 - 435*T1^2*T2^9 + 15*T1^3*T2^9 + 771*T1^4*T2^9 - 
      1221*T1^5*T2^9 - 1118*T1^6*T2^9 + 11*T1^7*T2^9 - 1368*T1^8*T2^9 - 
      1368*T1^9*T2^9 + 11*T1^10*T2^9 - 1118*T1^11*T2^9 - 1221*T1^12*T2^9 + 
      771*T1^13*T2^9 + 15*T1^14*T2^9 - 435*T1^15*T2^9 - 75*T1^16*T2^9 + 
      172*T1^2*T2^10 + 390*T1^3*T2^10 - 400*T1^4*T2^10 - 563*T1^5*T2^10 + 
      2410*T1^6*T2^10 - 1118*T1^7*T2^10 + 1875*T1^8*T2^10 + 11*T1^9*T2^10 + 
      1875*T1^10*T2^10 - 1118*T1^11*T2^10 + 2410*T1^12*T2^10 - 
      563*T1^13*T2^10 - 400*T1^14*T2^10 + 390*T1^15*T2^10 + 172*T1^16*T2^10 - 
      258*T1^3*T2^11 - 177*T1^4*T2^11 + 722*T1^5*T2^11 - 563*T1^6*T2^11 - 
      1221*T1^7*T2^11 + 696*T1^8*T2^11 - 1118*T1^9*T2^11 - 1118*T1^10*T2^11 + 
      696*T1^11*T2^11 - 1221*T1^12*T2^11 - 563*T1^13*T2^11 + 
      722*T1^14*T2^11 - 177*T1^15*T2^11 - 258*T1^16*T2^11 + 297*T1^4*T2^12 - 
      177*T1^5*T2^12 - 400*T1^6*T2^12 + 771*T1^7*T2^12 + 630*T1^8*T2^12 - 
      1221*T1^9*T2^12 + 2410*T1^10*T2^12 - 1221*T1^11*T2^12 + 
      630*T1^12*T2^12 + 771*T1^13*T2^12 - 400*T1^14*T2^12 - 177*T1^15*T2^12 + 
      297*T1^16*T2^12 - 258*T1^5*T2^13 + 390*T1^6*T2^13 + 15*T1^7*T2^13 - 
      862*T1^8*T2^13 + 771*T1^9*T2^13 - 563*T1^10*T2^13 - 563*T1^11*T2^13 + 
      771*T1^12*T2^13 - 862*T1^13*T2^13 + 15*T1^14*T2^13 + 390*T1^15*T2^13 - 
      258*T1^16*T2^13 + 172*T1^6*T2^14 - 435*T1^7*T2^14 + 460*T1^8*T2^14 + 
      15*T1^9*T2^14 - 400*T1^10*T2^14 + 722*T1^11*T2^14 - 400*T1^12*T2^14 + 
      15*T1^13*T2^14 + 460*T1^14*T2^14 - 435*T1^15*T2^14 + 172*T1^16*T2^14 - 
      75*T1^7*T2^15 + 258*T1^8*T2^15 - 435*T1^9*T2^15 + 390*T1^10*T2^15 - 
      177*T1^11*T2^15 - 177*T1^12*T2^15 + 390*T1^13*T2^15 - 435*T1^14*T2^15 + 
      258*T1^15*T2^15 - 75*T1^16*T2^15 + 17*T1^8*T2^16 - 75*T1^9*T2^16 + 
      172*T1^10*T2^16 - 258*T1^11*T2^16 + 297*T1^12*T2^16 - 258*T1^13*T2^16 + 
      172*T1^14*T2^16 - 75*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 738] -> 
  {(3 - 13*T + 27*T^2 - 33*T^3 + 27*T^4 - 13*T^5 + 3*T^6)/T^3, 
   (-2*(18 - 76*T1 + 156*T1^2 - 189*T1^3 + 156*T1^4 - 76*T1^5 + 18*T1^6 - 
      76*T2 + 246*T1*T2 - 340*T1^2*T2 + 141*T1^3*T2 + 141*T1^4*T2 - 
      340*T1^5*T2 + 246*T1^6*T2 - 76*T1^7*T2 + 156*T2^2 - 340*T1*T2^2 + 
      146*T1^2*T2^2 + 531*T1^3*T2^2 - 745*T1^4*T2^2 + 531*T1^5*T2^2 + 
      146*T1^6*T2^2 - 340*T1^7*T2^2 + 156*T1^8*T2^2 - 189*T2^3 + 
      141*T1*T2^3 + 531*T1^2*T2^3 - 1280*T1^3*T2^3 + 479*T1^4*T2^3 + 
      479*T1^5*T2^3 - 1280*T1^6*T2^3 + 531*T1^7*T2^3 + 141*T1^8*T2^3 - 
      189*T1^9*T2^3 + 156*T2^4 + 141*T1*T2^4 - 745*T1^2*T2^4 + 
      479*T1^3*T2^4 + 1680*T1^4*T2^4 - 2233*T1^5*T2^4 + 1680*T1^6*T2^4 + 
      479*T1^7*T2^4 - 745*T1^8*T2^4 + 141*T1^9*T2^4 + 156*T1^10*T2^4 - 
      76*T2^5 - 340*T1*T2^5 + 531*T1^2*T2^5 + 479*T1^3*T2^5 - 
      2233*T1^4*T2^5 + 796*T1^5*T2^5 + 796*T1^6*T2^5 - 2233*T1^7*T2^5 + 
      479*T1^8*T2^5 + 531*T1^9*T2^5 - 340*T1^10*T2^5 - 76*T1^11*T2^5 + 
      18*T2^6 + 246*T1*T2^6 + 146*T1^2*T2^6 - 1280*T1^3*T2^6 + 
      1680*T1^4*T2^6 + 796*T1^5*T2^6 - 1326*T1^6*T2^6 + 796*T1^7*T2^6 + 
      1680*T1^8*T2^6 - 1280*T1^9*T2^6 + 146*T1^10*T2^6 + 246*T1^11*T2^6 + 
      18*T1^12*T2^6 - 76*T1*T2^7 - 340*T1^2*T2^7 + 531*T1^3*T2^7 + 
      479*T1^4*T2^7 - 2233*T1^5*T2^7 + 796*T1^6*T2^7 + 796*T1^7*T2^7 - 
      2233*T1^8*T2^7 + 479*T1^9*T2^7 + 531*T1^10*T2^7 - 340*T1^11*T2^7 - 
      76*T1^12*T2^7 + 156*T1^2*T2^8 + 141*T1^3*T2^8 - 745*T1^4*T2^8 + 
      479*T1^5*T2^8 + 1680*T1^6*T2^8 - 2233*T1^7*T2^8 + 1680*T1^8*T2^8 + 
      479*T1^9*T2^8 - 745*T1^10*T2^8 + 141*T1^11*T2^8 + 156*T1^12*T2^8 - 
      189*T1^3*T2^9 + 141*T1^4*T2^9 + 531*T1^5*T2^9 - 1280*T1^6*T2^9 + 
      479*T1^7*T2^9 + 479*T1^8*T2^9 - 1280*T1^9*T2^9 + 531*T1^10*T2^9 + 
      141*T1^11*T2^9 - 189*T1^12*T2^9 + 156*T1^4*T2^10 - 340*T1^5*T2^10 + 
      146*T1^6*T2^10 + 531*T1^7*T2^10 - 745*T1^8*T2^10 + 531*T1^9*T2^10 + 
      146*T1^10*T2^10 - 340*T1^11*T2^10 + 156*T1^12*T2^10 - 76*T1^5*T2^11 + 
      246*T1^6*T2^11 - 340*T1^7*T2^11 + 141*T1^8*T2^11 + 141*T1^9*T2^11 - 
      340*T1^10*T2^11 + 246*T1^11*T2^11 - 76*T1^12*T2^11 + 18*T1^6*T2^12 - 
      76*T1^7*T2^12 + 156*T1^8*T2^12 - 189*T1^9*T2^12 + 156*T1^10*T2^12 - 
      76*T1^11*T2^12 + 18*T1^12*T2^12))/(T1^6*T2^6)}, 
 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), 
   -((25 - 111*T1 + 230*T1^2 - 334*T1^3 + 367*T1^4 - 334*T1^5 + 230*T1^6 - 
      111*T1^7 + 25*T1^8 - 111*T2 + 384*T1*T2 - 537*T1^2*T2 + 474*T1^3*T2 - 
      153*T1^4*T2 - 153*T1^5*T2 + 474*T1^6*T2 - 537*T1^7*T2 + 384*T1^8*T2 - 
      111*T1^9*T2 + 230*T2^2 - 537*T1*T2^2 + 173*T1^2*T2^2 + 478*T1^3*T2^2 - 
      1210*T1^4*T2^2 + 1261*T1^5*T2^2 - 1210*T1^6*T2^2 + 478*T1^7*T2^2 + 
      173*T1^8*T2^2 - 537*T1^9*T2^2 + 230*T1^10*T2^2 - 334*T2^3 + 
      474*T1*T2^3 + 478*T1^2*T2^3 - 970*T1^3*T2^3 + 1126*T1^4*T2^3 - 
      134*T1^5*T2^3 - 134*T1^6*T2^3 + 1126*T1^7*T2^3 - 970*T1^8*T2^3 + 
      478*T1^9*T2^3 + 474*T1^10*T2^3 - 334*T1^11*T2^3 + 367*T2^4 - 
      153*T1*T2^4 - 1210*T1^2*T2^4 + 1126*T1^3*T2^4 - 1116*T1^4*T2^4 + 
      149*T1^5*T2^4 - 948*T1^6*T2^4 + 149*T1^7*T2^4 - 1116*T1^8*T2^4 + 
      1126*T1^9*T2^4 - 1210*T1^10*T2^4 - 153*T1^11*T2^4 + 367*T1^12*T2^4 - 
      334*T2^5 - 153*T1*T2^5 + 1261*T1^2*T2^5 - 134*T1^3*T2^5 + 
      149*T1^4*T2^5 + 694*T1^5*T2^5 + 691*T1^6*T2^5 + 691*T1^7*T2^5 + 
      694*T1^8*T2^5 + 149*T1^9*T2^5 - 134*T1^10*T2^5 + 1261*T1^11*T2^5 - 
      153*T1^12*T2^5 - 334*T1^13*T2^5 + 230*T2^6 + 474*T1*T2^6 - 
      1210*T1^2*T2^6 - 134*T1^3*T2^6 - 948*T1^4*T2^6 + 691*T1^5*T2^6 - 
      2433*T1^6*T2^6 + 569*T1^7*T2^6 - 2433*T1^8*T2^6 + 691*T1^9*T2^6 - 
      948*T1^10*T2^6 - 134*T1^11*T2^6 - 1210*T1^12*T2^6 + 474*T1^13*T2^6 + 
      230*T1^14*T2^6 - 111*T2^7 - 537*T1*T2^7 + 478*T1^2*T2^7 + 
      1126*T1^3*T2^7 + 149*T1^4*T2^7 + 691*T1^5*T2^7 + 569*T1^6*T2^7 + 
      1330*T1^7*T2^7 + 1330*T1^8*T2^7 + 569*T1^9*T2^7 + 691*T1^10*T2^7 + 
      149*T1^11*T2^7 + 1126*T1^12*T2^7 + 478*T1^13*T2^7 - 537*T1^14*T2^7 - 
      111*T1^15*T2^7 + 25*T2^8 + 384*T1*T2^8 + 173*T1^2*T2^8 - 
      970*T1^3*T2^8 - 1116*T1^4*T2^8 + 694*T1^5*T2^8 - 2433*T1^6*T2^8 + 
      1330*T1^7*T2^8 - 4044*T1^8*T2^8 + 1330*T1^9*T2^8 - 2433*T1^10*T2^8 + 
      694*T1^11*T2^8 - 1116*T1^12*T2^8 - 970*T1^13*T2^8 + 173*T1^14*T2^8 + 
      384*T1^15*T2^8 + 25*T1^16*T2^8 - 111*T1*T2^9 - 537*T1^2*T2^9 + 
      478*T1^3*T2^9 + 1126*T1^4*T2^9 + 149*T1^5*T2^9 + 691*T1^6*T2^9 + 
      569*T1^7*T2^9 + 1330*T1^8*T2^9 + 1330*T1^9*T2^9 + 569*T1^10*T2^9 + 
      691*T1^11*T2^9 + 149*T1^12*T2^9 + 1126*T1^13*T2^9 + 478*T1^14*T2^9 - 
      537*T1^15*T2^9 - 111*T1^16*T2^9 + 230*T1^2*T2^10 + 474*T1^3*T2^10 - 
      1210*T1^4*T2^10 - 134*T1^5*T2^10 - 948*T1^6*T2^10 + 691*T1^7*T2^10 - 
      2433*T1^8*T2^10 + 569*T1^9*T2^10 - 2433*T1^10*T2^10 + 691*T1^11*T2^10 - 
      948*T1^12*T2^10 - 134*T1^13*T2^10 - 1210*T1^14*T2^10 + 
      474*T1^15*T2^10 + 230*T1^16*T2^10 - 334*T1^3*T2^11 - 153*T1^4*T2^11 + 
      1261*T1^5*T2^11 - 134*T1^6*T2^11 + 149*T1^7*T2^11 + 694*T1^8*T2^11 + 
      691*T1^9*T2^11 + 691*T1^10*T2^11 + 694*T1^11*T2^11 + 149*T1^12*T2^11 - 
      134*T1^13*T2^11 + 1261*T1^14*T2^11 - 153*T1^15*T2^11 - 
      334*T1^16*T2^11 + 367*T1^4*T2^12 - 153*T1^5*T2^12 - 1210*T1^6*T2^12 + 
      1126*T1^7*T2^12 - 1116*T1^8*T2^12 + 149*T1^9*T2^12 - 948*T1^10*T2^12 + 
      149*T1^11*T2^12 - 1116*T1^12*T2^12 + 1126*T1^13*T2^12 - 
      1210*T1^14*T2^12 - 153*T1^15*T2^12 + 367*T1^16*T2^12 - 334*T1^5*T2^13 + 
      474*T1^6*T2^13 + 478*T1^7*T2^13 - 970*T1^8*T2^13 + 1126*T1^9*T2^13 - 
      134*T1^10*T2^13 - 134*T1^11*T2^13 + 1126*T1^12*T2^13 - 
      970*T1^13*T2^13 + 478*T1^14*T2^13 + 474*T1^15*T2^13 - 334*T1^16*T2^13 + 
      230*T1^6*T2^14 - 537*T1^7*T2^14 + 173*T1^8*T2^14 + 478*T1^9*T2^14 - 
      1210*T1^10*T2^14 + 1261*T1^11*T2^14 - 1210*T1^12*T2^14 + 
      478*T1^13*T2^14 + 173*T1^14*T2^14 - 537*T1^15*T2^14 + 230*T1^16*T2^14 - 
      111*T1^7*T2^15 + 384*T1^8*T2^15 - 537*T1^9*T2^15 + 474*T1^10*T2^15 - 
      153*T1^11*T2^15 - 153*T1^12*T2^15 + 474*T1^13*T2^15 - 537*T1^14*T2^15 + 
      384*T1^15*T2^15 - 111*T1^16*T2^15 + 25*T1^8*T2^16 - 111*T1^9*T2^16 + 
      230*T1^10*T2^16 - 334*T1^11*T2^16 + 367*T1^12*T2^16 - 334*T1^13*T2^16 + 
      230*T1^14*T2^16 - 111*T1^15*T2^16 + 25*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 740] -> 
  {-((3 - 13*T + 25*T^2 - 31*T^3 + 25*T^4 - 13*T^5 + 3*T^6)/T^3), 
   -((63 - 269*T1 + 509*T1^2 - 629*T1^3 + 509*T1^4 - 269*T1^5 + 63*T1^6 - 
      269*T2 + 882*T1*T2 - 1032*T1^2*T2 + 516*T1^3*T2 + 516*T1^4*T2 - 
      1032*T1^5*T2 + 882*T1^6*T2 - 269*T1^7*T2 + 509*T2^2 - 1032*T1*T2^2 - 
      299*T1^2*T2^2 + 2169*T1^3*T2^2 - 3441*T1^4*T2^2 + 2169*T1^5*T2^2 - 
      299*T1^6*T2^2 - 1032*T1^7*T2^2 + 509*T1^8*T2^2 - 629*T2^3 + 
      516*T1*T2^3 + 2169*T1^2*T2^3 - 3084*T1^3*T2^3 + 1944*T1^4*T2^3 + 
      1944*T1^5*T2^3 - 3084*T1^6*T2^3 + 2169*T1^7*T2^3 + 516*T1^8*T2^3 - 
      629*T1^9*T2^3 + 509*T2^4 + 516*T1*T2^4 - 3441*T1^2*T2^4 + 
      1944*T1^3*T2^4 + 518*T1^4*T2^4 - 3362*T1^5*T2^4 + 518*T1^6*T2^4 + 
      1944*T1^7*T2^4 - 3441*T1^8*T2^4 + 516*T1^9*T2^4 + 509*T1^10*T2^4 - 
      269*T2^5 - 1032*T1*T2^5 + 2169*T1^2*T2^5 + 1944*T1^3*T2^5 - 
      3362*T1^4*T2^5 + 2814*T1^5*T2^5 + 2814*T1^6*T2^5 - 3362*T1^7*T2^5 + 
      1944*T1^8*T2^5 + 2169*T1^9*T2^5 - 1032*T1^10*T2^5 - 269*T1^11*T2^5 + 
      63*T2^6 + 882*T1*T2^6 - 299*T1^2*T2^6 - 3084*T1^3*T2^6 + 
      518*T1^4*T2^6 + 2814*T1^5*T2^6 - 6816*T1^6*T2^6 + 2814*T1^7*T2^6 + 
      518*T1^8*T2^6 - 3084*T1^9*T2^6 - 299*T1^10*T2^6 + 882*T1^11*T2^6 + 
      63*T1^12*T2^6 - 269*T1*T2^7 - 1032*T1^2*T2^7 + 2169*T1^3*T2^7 + 
      1944*T1^4*T2^7 - 3362*T1^5*T2^7 + 2814*T1^6*T2^7 + 2814*T1^7*T2^7 - 
      3362*T1^8*T2^7 + 1944*T1^9*T2^7 + 2169*T1^10*T2^7 - 1032*T1^11*T2^7 - 
      269*T1^12*T2^7 + 509*T1^2*T2^8 + 516*T1^3*T2^8 - 3441*T1^4*T2^8 + 
      1944*T1^5*T2^8 + 518*T1^6*T2^8 - 3362*T1^7*T2^8 + 518*T1^8*T2^8 + 
      1944*T1^9*T2^8 - 3441*T1^10*T2^8 + 516*T1^11*T2^8 + 509*T1^12*T2^8 - 
      629*T1^3*T2^9 + 516*T1^4*T2^9 + 2169*T1^5*T2^9 - 3084*T1^6*T2^9 + 
      1944*T1^7*T2^9 + 1944*T1^8*T2^9 - 3084*T1^9*T2^9 + 2169*T1^10*T2^9 + 
      516*T1^11*T2^9 - 629*T1^12*T2^9 + 509*T1^4*T2^10 - 1032*T1^5*T2^10 - 
      299*T1^6*T2^10 + 2169*T1^7*T2^10 - 3441*T1^8*T2^10 + 2169*T1^9*T2^10 - 
      299*T1^10*T2^10 - 1032*T1^11*T2^10 + 509*T1^12*T2^10 - 269*T1^5*T2^11 + 
      882*T1^6*T2^11 - 1032*T1^7*T2^11 + 516*T1^8*T2^11 + 516*T1^9*T2^11 - 
      1032*T1^10*T2^11 + 882*T1^11*T2^11 - 269*T1^12*T2^11 + 63*T1^6*T2^12 - 
      269*T1^7*T2^12 + 509*T1^8*T2^12 - 629*T1^9*T2^12 + 509*T1^10*T2^12 - 
      269*T1^11*T2^12 + 63*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 741] -> 
  {-(((1 - T + T^2)*(5 - 20*T + 29*T^2 - 20*T^3 + 5*T^4))/T^3), 
   -((270 - 1320*T1 + 2805*T1^2 - 3572*T1^3 + 2805*T1^4 - 1320*T1^5 + 
      270*T1^6 - 1320*T2 + 5150*T1*T2 - 7305*T1^2*T2 + 3773*T1^3*T2 + 
      3773*T1^4*T2 - 7305*T1^5*T2 + 5150*T1^6*T2 - 1320*T1^7*T2 + 2805*T2^2 - 
      7305*T1*T2^2 + 334*T1^2*T2^2 + 16901*T1^3*T2^2 - 28092*T1^4*T2^2 + 
      16901*T1^5*T2^2 + 334*T1^6*T2^2 - 7305*T1^7*T2^2 + 2805*T1^8*T2^2 - 
      3572*T2^3 + 3773*T1*T2^3 + 16901*T1^2*T2^3 - 34000*T1^3*T2^3 + 
      20496*T1^4*T2^3 + 20496*T1^5*T2^3 - 34000*T1^6*T2^3 + 16901*T1^7*T2^3 + 
      3773*T1^8*T2^3 - 3572*T1^9*T2^3 + 2805*T2^4 + 3773*T1*T2^4 - 
      28092*T1^2*T2^4 + 20496*T1^3*T2^4 + 22976*T1^4*T2^4 - 57868*T1^5*T2^4 + 
      22976*T1^6*T2^4 + 20496*T1^7*T2^4 - 28092*T1^8*T2^4 + 3773*T1^9*T2^4 + 
      2805*T1^10*T2^4 - 1320*T2^5 - 7305*T1*T2^5 + 16901*T1^2*T2^5 + 
      20496*T1^3*T2^5 - 57868*T1^4*T2^5 + 39262*T1^5*T2^5 + 39262*T1^6*T2^5 - 
      57868*T1^7*T2^5 + 20496*T1^8*T2^5 + 16901*T1^9*T2^5 - 7305*T1^10*T2^5 - 
      1320*T1^11*T2^5 + 270*T2^6 + 5150*T1*T2^6 + 334*T1^2*T2^6 - 
      34000*T1^3*T2^6 + 22976*T1^4*T2^6 + 39262*T1^5*T2^6 - 90960*T1^6*T2^6 + 
      39262*T1^7*T2^6 + 22976*T1^8*T2^6 - 34000*T1^9*T2^6 + 334*T1^10*T2^6 + 
      5150*T1^11*T2^6 + 270*T1^12*T2^6 - 1320*T1*T2^7 - 7305*T1^2*T2^7 + 
      16901*T1^3*T2^7 + 20496*T1^4*T2^7 - 57868*T1^5*T2^7 + 39262*T1^6*T2^7 + 
      39262*T1^7*T2^7 - 57868*T1^8*T2^7 + 20496*T1^9*T2^7 + 
      16901*T1^10*T2^7 - 7305*T1^11*T2^7 - 1320*T1^12*T2^7 + 2805*T1^2*T2^8 + 
      3773*T1^3*T2^8 - 28092*T1^4*T2^8 + 20496*T1^5*T2^8 + 22976*T1^6*T2^8 - 
      57868*T1^7*T2^8 + 22976*T1^8*T2^8 + 20496*T1^9*T2^8 - 
      28092*T1^10*T2^8 + 3773*T1^11*T2^8 + 2805*T1^12*T2^8 - 3572*T1^3*T2^9 + 
      3773*T1^4*T2^9 + 16901*T1^5*T2^9 - 34000*T1^6*T2^9 + 20496*T1^7*T2^9 + 
      20496*T1^8*T2^9 - 34000*T1^9*T2^9 + 16901*T1^10*T2^9 + 
      3773*T1^11*T2^9 - 3572*T1^12*T2^9 + 2805*T1^4*T2^10 - 7305*T1^5*T2^10 + 
      334*T1^6*T2^10 + 16901*T1^7*T2^10 - 28092*T1^8*T2^10 + 
      16901*T1^9*T2^10 + 334*T1^10*T2^10 - 7305*T1^11*T2^10 + 
      2805*T1^12*T2^10 - 1320*T1^5*T2^11 + 5150*T1^6*T2^11 - 
      7305*T1^7*T2^11 + 3773*T1^8*T2^11 + 3773*T1^9*T2^11 - 
      7305*T1^10*T2^11 + 5150*T1^11*T2^11 - 1320*T1^12*T2^11 + 
      270*T1^6*T2^12 - 1320*T1^7*T2^12 + 2805*T1^8*T2^12 - 3572*T1^9*T2^12 + 
      2805*T1^10*T2^12 - 1320*T1^11*T2^12 + 270*T1^12*T2^12)/(T1^6*T2^6))}, 
 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)*
     (7 - 22*T1 + 33*T1^2 - 39*T1^3 + 33*T1^4 - 22*T1^5 + 7*T1^6 - 22*T2 + 
      46*T1*T2 - 34*T1^2*T2 + 20*T1^3*T2 + 20*T1^4*T2 - 34*T1^5*T2 + 
      46*T1^6*T2 - 22*T1^7*T2 + 33*T2^2 - 34*T1*T2^2 - 35*T1^2*T2^2 + 
      67*T1^3*T2^2 - 117*T1^4*T2^2 + 67*T1^5*T2^2 - 35*T1^6*T2^2 - 
      34*T1^7*T2^2 + 33*T1^8*T2^2 - 39*T2^3 + 20*T1*T2^3 + 67*T1^2*T2^3 - 
      60*T1^3*T2^3 + 55*T1^4*T2^3 + 55*T1^5*T2^3 - 60*T1^6*T2^3 + 
      67*T1^7*T2^3 + 20*T1^8*T2^3 - 39*T1^9*T2^3 + 33*T2^4 + 20*T1*T2^4 - 
      117*T1^2*T2^4 + 55*T1^3*T2^4 - 3*T1^4*T2^4 - 65*T1^5*T2^4 - 
      3*T1^6*T2^4 + 55*T1^7*T2^4 - 117*T1^8*T2^4 + 20*T1^9*T2^4 + 
      33*T1^10*T2^4 - 22*T2^5 - 34*T1*T2^5 + 67*T1^2*T2^5 + 55*T1^3*T2^5 - 
      65*T1^4*T2^5 + 36*T1^5*T2^5 + 36*T1^6*T2^5 - 65*T1^7*T2^5 + 
      55*T1^8*T2^5 + 67*T1^9*T2^5 - 34*T1^10*T2^5 - 22*T1^11*T2^5 + 7*T2^6 + 
      46*T1*T2^6 - 35*T1^2*T2^6 - 60*T1^3*T2^6 - 3*T1^4*T2^6 + 36*T1^5*T2^6 - 
      48*T1^6*T2^6 + 36*T1^7*T2^6 - 3*T1^8*T2^6 - 60*T1^9*T2^6 - 
      35*T1^10*T2^6 + 46*T1^11*T2^6 + 7*T1^12*T2^6 - 22*T1*T2^7 - 
      34*T1^2*T2^7 + 67*T1^3*T2^7 + 55*T1^4*T2^7 - 65*T1^5*T2^7 + 
      36*T1^6*T2^7 + 36*T1^7*T2^7 - 65*T1^8*T2^7 + 55*T1^9*T2^7 + 
      67*T1^10*T2^7 - 34*T1^11*T2^7 - 22*T1^12*T2^7 + 33*T1^2*T2^8 + 
      20*T1^3*T2^8 - 117*T1^4*T2^8 + 55*T1^5*T2^8 - 3*T1^6*T2^8 - 
      65*T1^7*T2^8 - 3*T1^8*T2^8 + 55*T1^9*T2^8 - 117*T1^10*T2^8 + 
      20*T1^11*T2^8 + 33*T1^12*T2^8 - 39*T1^3*T2^9 + 20*T1^4*T2^9 + 
      67*T1^5*T2^9 - 60*T1^6*T2^9 + 55*T1^7*T2^9 + 55*T1^8*T2^9 - 
      60*T1^9*T2^9 + 67*T1^10*T2^9 + 20*T1^11*T2^9 - 39*T1^12*T2^9 + 
      33*T1^4*T2^10 - 34*T1^5*T2^10 - 35*T1^6*T2^10 + 67*T1^7*T2^10 - 
      117*T1^8*T2^10 + 67*T1^9*T2^10 - 35*T1^10*T2^10 - 34*T1^11*T2^10 + 
      33*T1^12*T2^10 - 22*T1^5*T2^11 + 46*T1^6*T2^11 - 34*T1^7*T2^11 + 
      20*T1^8*T2^11 + 20*T1^9*T2^11 - 34*T1^10*T2^11 + 46*T1^11*T2^11 - 
      22*T1^12*T2^11 + 7*T1^6*T2^12 - 22*T1^7*T2^12 + 33*T1^8*T2^12 - 
      39*T1^9*T2^12 + 33*T1^10*T2^12 - 22*T1^11*T2^12 + 7*T1^12*T2^12))/
    (T1^8*T2^8)}, Knot[12, Alternating, 743] -> 
  {-((6 - 20*T + 27*T^2 - 20*T^3 + 6*T^4)/T^2), 
   -((171 - 527*T1 + 687*T1^2 - 527*T1^3 + 171*T1^4 - 527*T2 + 1108*T1*T2 - 
      512*T1^2*T2 - 512*T1^3*T2 + 1108*T1^4*T2 - 527*T1^5*T2 + 687*T2^2 - 
      512*T1*T2^2 - 1620*T1^2*T2^2 + 2556*T1^3*T2^2 - 1620*T1^4*T2^2 - 
      512*T1^5*T2^2 + 687*T1^6*T2^2 - 527*T2^3 - 512*T1*T2^3 + 
      2556*T1^2*T2^3 - 1270*T1^3*T2^3 - 1270*T1^4*T2^3 + 2556*T1^5*T2^3 - 
      512*T1^6*T2^3 - 527*T1^7*T2^3 + 171*T2^4 + 1108*T1*T2^4 - 
      1620*T1^2*T2^4 - 1270*T1^3*T2^4 + 2676*T1^4*T2^4 - 1270*T1^5*T2^4 - 
      1620*T1^6*T2^4 + 1108*T1^7*T2^4 + 171*T1^8*T2^4 - 527*T1*T2^5 - 
      512*T1^2*T2^5 + 2556*T1^3*T2^5 - 1270*T1^4*T2^5 - 1270*T1^5*T2^5 + 
      2556*T1^6*T2^5 - 512*T1^7*T2^5 - 527*T1^8*T2^5 + 687*T1^2*T2^6 - 
      512*T1^3*T2^6 - 1620*T1^4*T2^6 + 2556*T1^5*T2^6 - 1620*T1^6*T2^6 - 
      512*T1^7*T2^6 + 687*T1^8*T2^6 - 527*T1^3*T2^7 + 1108*T1^4*T2^7 - 
      512*T1^5*T2^7 - 512*T1^6*T2^7 + 1108*T1^7*T2^7 - 527*T1^8*T2^7 + 
      171*T1^4*T2^8 - 527*T1^5*T2^8 + 687*T1^6*T2^8 - 527*T1^7*T2^8 + 
      171*T1^8*T2^8)/(T1^4*T2^4))}, Knot[12, Alternating, 744] -> 
  {(4 - 15*T + 23*T^2 - 15*T^3 + 4*T^4)/T^2, 
   -((36 - 130*T1 + 202*T1^2 - 130*T1^3 + 36*T1^4 - 130*T2 + 340*T1*T2 - 
      260*T1^2*T2 - 260*T1^3*T2 + 340*T1^4*T2 - 130*T1^5*T2 + 202*T2^2 - 
      260*T1*T2^2 - 329*T1^2*T2^2 + 1133*T1^3*T2^2 - 329*T1^4*T2^2 - 
      260*T1^5*T2^2 + 202*T1^6*T2^2 - 130*T2^3 - 260*T1*T2^3 + 
      1133*T1^2*T2^3 - 1120*T1^3*T2^3 - 1120*T1^4*T2^3 + 1133*T1^5*T2^3 - 
      260*T1^6*T2^3 - 130*T1^7*T2^3 + 36*T2^4 + 340*T1*T2^4 - 329*T1^2*T2^4 - 
      1120*T1^3*T2^4 + 3108*T1^4*T2^4 - 1120*T1^5*T2^4 - 329*T1^6*T2^4 + 
      340*T1^7*T2^4 + 36*T1^8*T2^4 - 130*T1*T2^5 - 260*T1^2*T2^5 + 
      1133*T1^3*T2^5 - 1120*T1^4*T2^5 - 1120*T1^5*T2^5 + 1133*T1^6*T2^5 - 
      260*T1^7*T2^5 - 130*T1^8*T2^5 + 202*T1^2*T2^6 - 260*T1^3*T2^6 - 
      329*T1^4*T2^6 + 1133*T1^5*T2^6 - 329*T1^6*T2^6 - 260*T1^7*T2^6 + 
      202*T1^8*T2^6 - 130*T1^3*T2^7 + 340*T1^4*T2^7 - 260*T1^5*T2^7 - 
      260*T1^6*T2^7 + 340*T1^7*T2^7 - 130*T1^8*T2^7 + 36*T1^4*T2^8 - 
      130*T1^5*T2^8 + 202*T1^6*T2^8 - 130*T1^7*T2^8 + 36*T1^8*T2^8)/
     (T1^4*T2^4))}, Knot[12, Alternating, 745] -> 
  {-((4 - 15*T + 21*T^2 - 15*T^3 + 4*T^4)/T^2), 
   (-2*(50 - 185*T1 + 255*T1^2 - 185*T1^3 + 50*T1^4 - 185*T2 + 500*T1*T2 - 
      260*T1^2*T2 - 260*T1^3*T2 + 500*T1^4*T2 - 185*T1^5*T2 + 255*T2^2 - 
      260*T1*T2^2 - 978*T1^2*T2^2 + 1630*T1^3*T2^2 - 978*T1^4*T2^2 - 
      260*T1^5*T2^2 + 255*T1^6*T2^2 - 185*T2^3 - 260*T1*T2^3 + 
      1630*T1^2*T2^3 - 886*T1^3*T2^3 - 886*T1^4*T2^3 + 1630*T1^5*T2^3 - 
      260*T1^6*T2^3 - 185*T1^7*T2^3 + 50*T2^4 + 500*T1*T2^4 - 978*T1^2*T2^4 - 
      886*T1^3*T2^4 + 1914*T1^4*T2^4 - 886*T1^5*T2^4 - 978*T1^6*T2^4 + 
      500*T1^7*T2^4 + 50*T1^8*T2^4 - 185*T1*T2^5 - 260*T1^2*T2^5 + 
      1630*T1^3*T2^5 - 886*T1^4*T2^5 - 886*T1^5*T2^5 + 1630*T1^6*T2^5 - 
      260*T1^7*T2^5 - 185*T1^8*T2^5 + 255*T1^2*T2^6 - 260*T1^3*T2^6 - 
      978*T1^4*T2^6 + 1630*T1^5*T2^6 - 978*T1^6*T2^6 - 260*T1^7*T2^6 + 
      255*T1^8*T2^6 - 185*T1^3*T2^7 + 500*T1^4*T2^7 - 260*T1^5*T2^7 - 
      260*T1^6*T2^7 + 500*T1^7*T2^7 - 185*T1^8*T2^7 + 50*T1^4*T2^8 - 
      185*T1^5*T2^8 + 255*T1^6*T2^8 - 185*T1^7*T2^8 + 50*T1^8*T2^8))/
    (T1^4*T2^4)}, 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, (1 - 4*T1 + 9*T1^2 - 15*T1^3 + 19*T1^4 - 15*T1^5 + 9*T1^6 - 4*T1^7 + 
     T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 24*T1^3*T2 - 16*T1^4*T2 - 
     16*T1^5*T2 + 24*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 9*T2^2 - 
     20*T1*T2^2 + 39*T1^2*T2^2 - 81*T1^3*T2^2 + 131*T1^4*T2^2 - 
     117*T1^5*T2^2 + 131*T1^6*T2^2 - 81*T1^7*T2^2 + 39*T1^8*T2^2 - 
     20*T1^9*T2^2 + 9*T1^10*T2^2 - 15*T2^3 + 24*T1*T2^3 - 81*T1^2*T2^3 + 
     198*T1^3*T2^3 - 273*T1^4*T2^3 + 74*T1^5*T2^3 + 74*T1^6*T2^3 - 
     273*T1^7*T2^3 + 198*T1^8*T2^3 - 81*T1^9*T2^3 + 24*T1^10*T2^3 - 
     15*T1^11*T2^3 + 19*T2^4 - 16*T1*T2^4 + 131*T1^2*T2^4 - 273*T1^3*T2^4 + 
     227*T1^4*T2^4 + 303*T1^5*T2^4 - 345*T1^6*T2^4 + 303*T1^7*T2^4 + 
     227*T1^8*T2^4 - 273*T1^9*T2^4 + 131*T1^10*T2^4 - 16*T1^11*T2^4 + 
     19*T1^12*T2^4 - 15*T2^5 - 16*T1*T2^5 - 117*T1^2*T2^5 + 74*T1^3*T2^5 + 
     303*T1^4*T2^5 - 1002*T1^5*T2^5 + 258*T1^6*T2^5 + 258*T1^7*T2^5 - 
     1002*T1^8*T2^5 + 303*T1^9*T2^5 + 74*T1^10*T2^5 - 117*T1^11*T2^5 - 
     16*T1^12*T2^5 - 15*T1^13*T2^5 + 9*T2^6 + 24*T1*T2^6 + 131*T1^2*T2^6 + 
     74*T1^3*T2^6 - 345*T1^4*T2^6 + 258*T1^5*T2^6 + 1712*T1^6*T2^6 - 
     1832*T1^7*T2^6 + 1712*T1^8*T2^6 + 258*T1^9*T2^6 - 345*T1^10*T2^6 + 
     74*T1^11*T2^6 + 131*T1^12*T2^6 + 24*T1^13*T2^6 + 9*T1^14*T2^6 - 4*T2^7 - 
     20*T1*T2^7 - 81*T1^2*T2^7 - 273*T1^3*T2^7 + 303*T1^4*T2^7 + 
     258*T1^5*T2^7 - 1832*T1^6*T2^7 + 288*T1^7*T2^7 + 288*T1^8*T2^7 - 
     1832*T1^9*T2^7 + 258*T1^10*T2^7 + 303*T1^11*T2^7 - 273*T1^12*T2^7 - 
     81*T1^13*T2^7 - 20*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 
     39*T1^2*T2^8 + 198*T1^3*T2^8 + 227*T1^4*T2^8 - 1002*T1^5*T2^8 + 
     1712*T1^6*T2^8 + 288*T1^7*T2^8 + 120*T1^8*T2^8 + 288*T1^9*T2^8 + 
     1712*T1^10*T2^8 - 1002*T1^11*T2^8 + 227*T1^12*T2^8 + 198*T1^13*T2^8 + 
     39*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 20*T1^2*T2^9 - 
     81*T1^3*T2^9 - 273*T1^4*T2^9 + 303*T1^5*T2^9 + 258*T1^6*T2^9 - 
     1832*T1^7*T2^9 + 288*T1^8*T2^9 + 288*T1^9*T2^9 - 1832*T1^10*T2^9 + 
     258*T1^11*T2^9 + 303*T1^12*T2^9 - 273*T1^13*T2^9 - 81*T1^14*T2^9 - 
     20*T1^15*T2^9 - 4*T1^16*T2^9 + 9*T1^2*T2^10 + 24*T1^3*T2^10 + 
     131*T1^4*T2^10 + 74*T1^5*T2^10 - 345*T1^6*T2^10 + 258*T1^7*T2^10 + 
     1712*T1^8*T2^10 - 1832*T1^9*T2^10 + 1712*T1^10*T2^10 + 258*T1^11*T2^10 - 
     345*T1^12*T2^10 + 74*T1^13*T2^10 + 131*T1^14*T2^10 + 24*T1^15*T2^10 + 
     9*T1^16*T2^10 - 15*T1^3*T2^11 - 16*T1^4*T2^11 - 117*T1^5*T2^11 + 
     74*T1^6*T2^11 + 303*T1^7*T2^11 - 1002*T1^8*T2^11 + 258*T1^9*T2^11 + 
     258*T1^10*T2^11 - 1002*T1^11*T2^11 + 303*T1^12*T2^11 + 74*T1^13*T2^11 - 
     117*T1^14*T2^11 - 16*T1^15*T2^11 - 15*T1^16*T2^11 + 19*T1^4*T2^12 - 
     16*T1^5*T2^12 + 131*T1^6*T2^12 - 273*T1^7*T2^12 + 227*T1^8*T2^12 + 
     303*T1^9*T2^12 - 345*T1^10*T2^12 + 303*T1^11*T2^12 + 227*T1^12*T2^12 - 
     273*T1^13*T2^12 + 131*T1^14*T2^12 - 16*T1^15*T2^12 + 19*T1^16*T2^12 - 
     15*T1^5*T2^13 + 24*T1^6*T2^13 - 81*T1^7*T2^13 + 198*T1^8*T2^13 - 
     273*T1^9*T2^13 + 74*T1^10*T2^13 + 74*T1^11*T2^13 - 273*T1^12*T2^13 + 
     198*T1^13*T2^13 - 81*T1^14*T2^13 + 24*T1^15*T2^13 - 15*T1^16*T2^13 + 
     9*T1^6*T2^14 - 20*T1^7*T2^14 + 39*T1^8*T2^14 - 81*T1^9*T2^14 + 
     131*T1^10*T2^14 - 117*T1^11*T2^14 + 131*T1^12*T2^14 - 81*T1^13*T2^14 + 
     39*T1^14*T2^14 - 20*T1^15*T2^14 + 9*T1^16*T2^14 - 4*T1^7*T2^15 + 
     12*T1^8*T2^15 - 20*T1^9*T2^15 + 24*T1^10*T2^15 - 16*T1^11*T2^15 - 
     16*T1^12*T2^15 + 24*T1^13*T2^15 - 20*T1^14*T2^15 + 12*T1^15*T2^15 - 
     4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 9*T1^10*T2^16 - 
     15*T1^11*T2^16 + 19*T1^12*T2^16 - 15*T1^13*T2^16 + 9*T1^14*T2^16 - 
     4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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), (1 - 8*T1 + 25*T1^2 - 45*T1^3 + 53*T1^4 - 45*T1^5 + 25*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 135*T1^2*T2 + 158*T1^3*T2 - 
     63*T1^4*T2 - 63*T1^5*T2 + 158*T1^6*T2 - 135*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 25*T2^2 - 135*T1*T2^2 + 139*T1^2*T2^2 + 250*T1^3*T2^2 - 
     865*T1^4*T2^2 + 1063*T1^5*T2^2 - 865*T1^6*T2^2 + 250*T1^7*T2^2 + 
     139*T1^8*T2^2 - 135*T1^9*T2^2 + 25*T1^10*T2^2 - 45*T2^3 + 158*T1*T2^3 + 
     250*T1^2*T2^3 - 1324*T1^3*T2^3 + 1860*T1^4*T2^3 - 678*T1^5*T2^3 - 
     678*T1^6*T2^3 + 1860*T1^7*T2^3 - 1324*T1^8*T2^3 + 250*T1^9*T2^3 + 
     158*T1^10*T2^3 - 45*T1^11*T2^3 + 53*T2^4 - 63*T1*T2^4 - 865*T1^2*T2^4 + 
     1860*T1^3*T2^4 - 522*T1^4*T2^4 - 2994*T1^5*T2^4 + 3848*T1^6*T2^4 - 
     2994*T1^7*T2^4 - 522*T1^8*T2^4 + 1860*T1^9*T2^4 - 865*T1^10*T2^4 - 
     63*T1^11*T2^4 + 53*T1^12*T2^4 - 45*T2^5 - 63*T1*T2^5 + 1063*T1^2*T2^5 - 
     678*T1^3*T2^5 - 2994*T1^4*T2^5 + 6102*T1^5*T2^5 - 2172*T1^6*T2^5 - 
     2172*T1^7*T2^5 + 6102*T1^8*T2^5 - 2994*T1^9*T2^5 - 678*T1^10*T2^5 + 
     1063*T1^11*T2^5 - 63*T1^12*T2^5 - 45*T1^13*T2^5 + 25*T2^6 + 
     158*T1*T2^6 - 865*T1^2*T2^6 - 678*T1^3*T2^6 + 3848*T1^4*T2^6 - 
     2172*T1^5*T2^6 - 6737*T1^6*T2^6 + 9099*T1^7*T2^6 - 6737*T1^8*T2^6 - 
     2172*T1^9*T2^6 + 3848*T1^10*T2^6 - 678*T1^11*T2^6 - 865*T1^12*T2^6 + 
     158*T1^13*T2^6 + 25*T1^14*T2^6 - 8*T2^7 - 135*T1*T2^7 + 250*T1^2*T2^7 + 
     1860*T1^3*T2^7 - 2994*T1^4*T2^7 - 2172*T1^5*T2^7 + 9099*T1^6*T2^7 - 
     3544*T1^7*T2^7 - 3544*T1^8*T2^7 + 9099*T1^9*T2^7 - 2172*T1^10*T2^7 - 
     2994*T1^11*T2^7 + 1860*T1^12*T2^7 + 250*T1^13*T2^7 - 135*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 139*T1^2*T2^8 - 1324*T1^3*T2^8 - 
     522*T1^4*T2^8 + 6102*T1^5*T2^8 - 6737*T1^6*T2^8 - 3544*T1^7*T2^8 + 
     6600*T1^8*T2^8 - 3544*T1^9*T2^8 - 6737*T1^10*T2^8 + 6102*T1^11*T2^8 - 
     522*T1^12*T2^8 - 1324*T1^13*T2^8 + 139*T1^14*T2^8 + 56*T1^15*T2^8 + 
     T1^16*T2^8 - 8*T1*T2^9 - 135*T1^2*T2^9 + 250*T1^3*T2^9 + 
     1860*T1^4*T2^9 - 2994*T1^5*T2^9 - 2172*T1^6*T2^9 + 9099*T1^7*T2^9 - 
     3544*T1^8*T2^9 - 3544*T1^9*T2^9 + 9099*T1^10*T2^9 - 2172*T1^11*T2^9 - 
     2994*T1^12*T2^9 + 1860*T1^13*T2^9 + 250*T1^14*T2^9 - 135*T1^15*T2^9 - 
     8*T1^16*T2^9 + 25*T1^2*T2^10 + 158*T1^3*T2^10 - 865*T1^4*T2^10 - 
     678*T1^5*T2^10 + 3848*T1^6*T2^10 - 2172*T1^7*T2^10 - 6737*T1^8*T2^10 + 
     9099*T1^9*T2^10 - 6737*T1^10*T2^10 - 2172*T1^11*T2^10 + 
     3848*T1^12*T2^10 - 678*T1^13*T2^10 - 865*T1^14*T2^10 + 158*T1^15*T2^10 + 
     25*T1^16*T2^10 - 45*T1^3*T2^11 - 63*T1^4*T2^11 + 1063*T1^5*T2^11 - 
     678*T1^6*T2^11 - 2994*T1^7*T2^11 + 6102*T1^8*T2^11 - 2172*T1^9*T2^11 - 
     2172*T1^10*T2^11 + 6102*T1^11*T2^11 - 2994*T1^12*T2^11 - 
     678*T1^13*T2^11 + 1063*T1^14*T2^11 - 63*T1^15*T2^11 - 45*T1^16*T2^11 + 
     53*T1^4*T2^12 - 63*T1^5*T2^12 - 865*T1^6*T2^12 + 1860*T1^7*T2^12 - 
     522*T1^8*T2^12 - 2994*T1^9*T2^12 + 3848*T1^10*T2^12 - 2994*T1^11*T2^12 - 
     522*T1^12*T2^12 + 1860*T1^13*T2^12 - 865*T1^14*T2^12 - 63*T1^15*T2^12 + 
     53*T1^16*T2^12 - 45*T1^5*T2^13 + 158*T1^6*T2^13 + 250*T1^7*T2^13 - 
     1324*T1^8*T2^13 + 1860*T1^9*T2^13 - 678*T1^10*T2^13 - 678*T1^11*T2^13 + 
     1860*T1^12*T2^13 - 1324*T1^13*T2^13 + 250*T1^14*T2^13 + 
     158*T1^15*T2^13 - 45*T1^16*T2^13 + 25*T1^6*T2^14 - 135*T1^7*T2^14 + 
     139*T1^8*T2^14 + 250*T1^9*T2^14 - 865*T1^10*T2^14 + 1063*T1^11*T2^14 - 
     865*T1^12*T2^14 + 250*T1^13*T2^14 + 139*T1^14*T2^14 - 135*T1^15*T2^14 + 
     25*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 135*T1^9*T2^15 + 
     158*T1^10*T2^15 - 63*T1^11*T2^15 - 63*T1^12*T2^15 + 158*T1^13*T2^15 - 
     135*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
     8*T1^9*T2^16 + 25*T1^10*T2^16 - 45*T1^11*T2^16 + 53*T1^12*T2^16 - 
     45*T1^13*T2^16 + 25*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 748] -> 
  {-((4 - 16*T + 30*T^2 - 37*T^3 + 30*T^4 - 16*T^5 + 4*T^6)/T^3), 
   -((16 - 60*T1 + 112*T1^2 - 144*T1^3 + 112*T1^4 - 60*T1^5 + 16*T1^6 - 
      60*T2 + 168*T1*T2 - 200*T1^2*T2 + 122*T1^3*T2 + 122*T1^4*T2 - 
      200*T1^5*T2 + 168*T1^6*T2 - 60*T1^7*T2 + 112*T2^2 - 200*T1*T2^2 + 
      86*T1^2*T2^2 - 16*T1^3*T2^2 - 200*T1^4*T2^2 - 16*T1^5*T2^2 + 
      86*T1^6*T2^2 - 200*T1^7*T2^2 + 112*T1^8*T2^2 - 144*T2^3 + 122*T1*T2^3 - 
      16*T1^2*T2^3 + 400*T1^3*T2^3 - 26*T1^4*T2^3 - 26*T1^5*T2^3 + 
      400*T1^6*T2^3 - 16*T1^7*T2^3 + 122*T1^8*T2^3 - 144*T1^9*T2^3 + 
      112*T2^4 + 122*T1*T2^4 - 200*T1^2*T2^4 - 26*T1^3*T2^4 - 
      1899*T1^4*T2^4 + 2341*T1^5*T2^4 - 1899*T1^6*T2^4 - 26*T1^7*T2^4 - 
      200*T1^8*T2^4 + 122*T1^9*T2^4 + 112*T1^10*T2^4 - 60*T2^5 - 
      200*T1*T2^5 - 16*T1^2*T2^5 - 26*T1^3*T2^5 + 2341*T1^4*T2^5 - 
      898*T1^5*T2^5 - 898*T1^6*T2^5 + 2341*T1^7*T2^5 - 26*T1^8*T2^5 - 
      16*T1^9*T2^5 - 200*T1^10*T2^5 - 60*T1^11*T2^5 + 16*T2^6 + 168*T1*T2^6 + 
      86*T1^2*T2^6 + 400*T1^3*T2^6 - 1899*T1^4*T2^6 - 898*T1^5*T2^6 + 
      1596*T1^6*T2^6 - 898*T1^7*T2^6 - 1899*T1^8*T2^6 + 400*T1^9*T2^6 + 
      86*T1^10*T2^6 + 168*T1^11*T2^6 + 16*T1^12*T2^6 - 60*T1*T2^7 - 
      200*T1^2*T2^7 - 16*T1^3*T2^7 - 26*T1^4*T2^7 + 2341*T1^5*T2^7 - 
      898*T1^6*T2^7 - 898*T1^7*T2^7 + 2341*T1^8*T2^7 - 26*T1^9*T2^7 - 
      16*T1^10*T2^7 - 200*T1^11*T2^7 - 60*T1^12*T2^7 + 112*T1^2*T2^8 + 
      122*T1^3*T2^8 - 200*T1^4*T2^8 - 26*T1^5*T2^8 - 1899*T1^6*T2^8 + 
      2341*T1^7*T2^8 - 1899*T1^8*T2^8 - 26*T1^9*T2^8 - 200*T1^10*T2^8 + 
      122*T1^11*T2^8 + 112*T1^12*T2^8 - 144*T1^3*T2^9 + 122*T1^4*T2^9 - 
      16*T1^5*T2^9 + 400*T1^6*T2^9 - 26*T1^7*T2^9 - 26*T1^8*T2^9 + 
      400*T1^9*T2^9 - 16*T1^10*T2^9 + 122*T1^11*T2^9 - 144*T1^12*T2^9 + 
      112*T1^4*T2^10 - 200*T1^5*T2^10 + 86*T1^6*T2^10 - 16*T1^7*T2^10 - 
      200*T1^8*T2^10 - 16*T1^9*T2^10 + 86*T1^10*T2^10 - 200*T1^11*T2^10 + 
      112*T1^12*T2^10 - 60*T1^5*T2^11 + 168*T1^6*T2^11 - 200*T1^7*T2^11 + 
      122*T1^8*T2^11 + 122*T1^9*T2^11 - 200*T1^10*T2^11 + 168*T1^11*T2^11 - 
      60*T1^12*T2^11 + 16*T1^6*T2^12 - 60*T1^7*T2^12 + 112*T1^8*T2^12 - 
      144*T1^9*T2^12 + 112*T1^10*T2^12 - 60*T1^11*T2^12 + 16*T1^12*T2^12)/
     (T1^6*T2^6))}, 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*(40 - 158*T1 + 314*T1^2 - 380*T1^3 + 314*T1^4 - 158*T1^5 + 40*T1^6 - 
      158*T2 + 468*T1*T2 - 620*T1^2*T2 + 263*T1^3*T2 + 263*T1^4*T2 - 
      620*T1^5*T2 + 468*T1^6*T2 - 158*T1^7*T2 + 314*T2^2 - 620*T1*T2^2 + 
      308*T1^2*T2^2 + 747*T1^3*T2^2 - 1126*T1^4*T2^2 + 747*T1^5*T2^2 + 
      308*T1^6*T2^2 - 620*T1^7*T2^2 + 314*T1^8*T2^2 - 380*T2^3 + 
      263*T1*T2^3 + 747*T1^2*T2^3 - 1862*T1^3*T2^3 + 760*T1^4*T2^3 + 
      760*T1^5*T2^3 - 1862*T1^6*T2^3 + 747*T1^7*T2^3 + 263*T1^8*T2^3 - 
      380*T1^9*T2^3 + 314*T2^4 + 263*T1*T2^4 - 1126*T1^2*T2^4 + 
      760*T1^3*T2^4 + 2288*T1^4*T2^4 - 3282*T1^5*T2^4 + 2288*T1^6*T2^4 + 
      760*T1^7*T2^4 - 1126*T1^8*T2^4 + 263*T1^9*T2^4 + 314*T1^10*T2^4 - 
      158*T2^5 - 620*T1*T2^5 + 747*T1^2*T2^5 + 760*T1^3*T2^5 - 
      3282*T1^4*T2^5 + 1356*T1^5*T2^5 + 1356*T1^6*T2^5 - 3282*T1^7*T2^5 + 
      760*T1^8*T2^5 + 747*T1^9*T2^5 - 620*T1^10*T2^5 - 158*T1^11*T2^5 + 
      40*T2^6 + 468*T1*T2^6 + 308*T1^2*T2^6 - 1862*T1^3*T2^6 + 
      2288*T1^4*T2^6 + 1356*T1^5*T2^6 - 2532*T1^6*T2^6 + 1356*T1^7*T2^6 + 
      2288*T1^8*T2^6 - 1862*T1^9*T2^6 + 308*T1^10*T2^6 + 468*T1^11*T2^6 + 
      40*T1^12*T2^6 - 158*T1*T2^7 - 620*T1^2*T2^7 + 747*T1^3*T2^7 + 
      760*T1^4*T2^7 - 3282*T1^5*T2^7 + 1356*T1^6*T2^7 + 1356*T1^7*T2^7 - 
      3282*T1^8*T2^7 + 760*T1^9*T2^7 + 747*T1^10*T2^7 - 620*T1^11*T2^7 - 
      158*T1^12*T2^7 + 314*T1^2*T2^8 + 263*T1^3*T2^8 - 1126*T1^4*T2^8 + 
      760*T1^5*T2^8 + 2288*T1^6*T2^8 - 3282*T1^7*T2^8 + 2288*T1^8*T2^8 + 
      760*T1^9*T2^8 - 1126*T1^10*T2^8 + 263*T1^11*T2^8 + 314*T1^12*T2^8 - 
      380*T1^3*T2^9 + 263*T1^4*T2^9 + 747*T1^5*T2^9 - 1862*T1^6*T2^9 + 
      760*T1^7*T2^9 + 760*T1^8*T2^9 - 1862*T1^9*T2^9 + 747*T1^10*T2^9 + 
      263*T1^11*T2^9 - 380*T1^12*T2^9 + 314*T1^4*T2^10 - 620*T1^5*T2^10 + 
      308*T1^6*T2^10 + 747*T1^7*T2^10 - 1126*T1^8*T2^10 + 747*T1^9*T2^10 + 
      308*T1^10*T2^10 - 620*T1^11*T2^10 + 314*T1^12*T2^10 - 158*T1^5*T2^11 + 
      468*T1^6*T2^11 - 620*T1^7*T2^11 + 263*T1^8*T2^11 + 263*T1^9*T2^11 - 
      620*T1^10*T2^11 + 468*T1^11*T2^11 - 158*T1^12*T2^11 + 40*T1^6*T2^12 - 
      158*T1^7*T2^12 + 314*T1^8*T2^12 - 380*T1^9*T2^12 + 314*T1^10*T2^12 - 
      158*T1^11*T2^12 + 40*T1^12*T2^12))/(T1^6*T2^6)}, 
 Knot[12, Alternating, 750] -> 
  {-(((-2 + T)*(-1 + 2*T)*(4 - 7*T + 4*T^2))/T^2), 
   -((704 - 2944*T1 + 4368*T1^2 - 2944*T1^3 + 704*T1^4 - 2944*T2 + 
      9388*T1*T2 - 5980*T1^2*T2 - 5980*T1^3*T2 + 9388*T1^4*T2 - 
      2944*T1^5*T2 + 4368*T2^2 - 5980*T1*T2^2 - 19857*T1^2*T2^2 + 
      39707*T1^3*T2^2 - 19857*T1^4*T2^2 - 5980*T1^5*T2^2 + 4368*T1^6*T2^2 - 
      2944*T2^3 - 5980*T1*T2^3 + 39707*T1^2*T2^3 - 27602*T1^3*T2^3 - 
      27602*T1^4*T2^3 + 39707*T1^5*T2^3 - 5980*T1^6*T2^3 - 2944*T1^7*T2^3 + 
      704*T2^4 + 9388*T1*T2^4 - 19857*T1^2*T2^4 - 27602*T1^3*T2^4 + 
      66840*T1^4*T2^4 - 27602*T1^5*T2^4 - 19857*T1^6*T2^4 + 9388*T1^7*T2^4 + 
      704*T1^8*T2^4 - 2944*T1*T2^5 - 5980*T1^2*T2^5 + 39707*T1^3*T2^5 - 
      27602*T1^4*T2^5 - 27602*T1^5*T2^5 + 39707*T1^6*T2^5 - 5980*T1^7*T2^5 - 
      2944*T1^8*T2^5 + 4368*T1^2*T2^6 - 5980*T1^3*T2^6 - 19857*T1^4*T2^6 + 
      39707*T1^5*T2^6 - 19857*T1^6*T2^6 - 5980*T1^7*T2^6 + 4368*T1^8*T2^6 - 
      2944*T1^3*T2^7 + 9388*T1^4*T2^7 - 5980*T1^5*T2^7 - 5980*T1^6*T2^7 + 
      9388*T1^7*T2^7 - 2944*T1^8*T2^7 + 704*T1^4*T2^8 - 2944*T1^5*T2^8 + 
      4368*T1^6*T2^8 - 2944*T1^7*T2^8 + 704*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, Alternating, 751] -> 
  {-((2 - 14*T + 38*T^2 - 53*T^3 + 38*T^4 - 14*T^5 + 2*T^6)/T^3), 
   (1 - 8*T1 + 22*T1^2 - 31*T1^3 + 22*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
     56*T1*T2 - 109*T1^2*T2 + 69*T1^3*T2 + 69*T1^4*T2 - 109*T1^5*T2 + 
     56*T1^6*T2 - 8*T1^7*T2 + 22*T2^2 - 109*T1*T2^2 - 3*T1^2*T2^2 + 
     461*T1^3*T2^2 - 841*T1^4*T2^2 + 461*T1^5*T2^2 - 3*T1^6*T2^2 - 
     109*T1^7*T2^2 + 22*T1^8*T2^2 - 31*T2^3 + 69*T1*T2^3 + 461*T1^2*T2^3 - 
     1154*T1^3*T2^3 + 837*T1^4*T2^3 + 837*T1^5*T2^3 - 1154*T1^6*T2^3 + 
     461*T1^7*T2^3 + 69*T1^8*T2^3 - 31*T1^9*T2^3 + 22*T2^4 + 69*T1*T2^4 - 
     841*T1^2*T2^4 + 837*T1^3*T2^4 + 833*T1^4*T2^4 - 2743*T1^5*T2^4 + 
     833*T1^6*T2^4 + 837*T1^7*T2^4 - 841*T1^8*T2^4 + 69*T1^9*T2^4 + 
     22*T1^10*T2^4 - 8*T2^5 - 109*T1*T2^5 + 461*T1^2*T2^5 + 837*T1^3*T2^5 - 
     2743*T1^4*T2^5 + 2338*T1^5*T2^5 + 2338*T1^6*T2^5 - 2743*T1^7*T2^5 + 
     837*T1^8*T2^5 + 461*T1^9*T2^5 - 109*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
     56*T1*T2^6 - 3*T1^2*T2^6 - 1154*T1^3*T2^6 + 833*T1^4*T2^6 + 
     2338*T1^5*T2^6 - 6000*T1^6*T2^6 + 2338*T1^7*T2^6 + 833*T1^8*T2^6 - 
     1154*T1^9*T2^6 - 3*T1^10*T2^6 + 56*T1^11*T2^6 + T1^12*T2^6 - 8*T1*T2^7 - 
     109*T1^2*T2^7 + 461*T1^3*T2^7 + 837*T1^4*T2^7 - 2743*T1^5*T2^7 + 
     2338*T1^6*T2^7 + 2338*T1^7*T2^7 - 2743*T1^8*T2^7 + 837*T1^9*T2^7 + 
     461*T1^10*T2^7 - 109*T1^11*T2^7 - 8*T1^12*T2^7 + 22*T1^2*T2^8 + 
     69*T1^3*T2^8 - 841*T1^4*T2^8 + 837*T1^5*T2^8 + 833*T1^6*T2^8 - 
     2743*T1^7*T2^8 + 833*T1^8*T2^8 + 837*T1^9*T2^8 - 841*T1^10*T2^8 + 
     69*T1^11*T2^8 + 22*T1^12*T2^8 - 31*T1^3*T2^9 + 69*T1^4*T2^9 + 
     461*T1^5*T2^9 - 1154*T1^6*T2^9 + 837*T1^7*T2^9 + 837*T1^8*T2^9 - 
     1154*T1^9*T2^9 + 461*T1^10*T2^9 + 69*T1^11*T2^9 - 31*T1^12*T2^9 + 
     22*T1^4*T2^10 - 109*T1^5*T2^10 - 3*T1^6*T2^10 + 461*T1^7*T2^10 - 
     841*T1^8*T2^10 + 461*T1^9*T2^10 - 3*T1^10*T2^10 - 109*T1^11*T2^10 + 
     22*T1^12*T2^10 - 8*T1^5*T2^11 + 56*T1^6*T2^11 - 109*T1^7*T2^11 + 
     69*T1^8*T2^11 + 69*T1^9*T2^11 - 109*T1^10*T2^11 + 56*T1^11*T2^11 - 
     8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 22*T1^8*T2^12 - 
     31*T1^9*T2^12 + 22*T1^10*T2^12 - 8*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 752] -> 
  {-((8 - 29*T + 41*T^2 - 29*T^3 + 8*T^4)/T^2), 
   -((576 - 2016*T1 + 2800*T1^2 - 2016*T1^3 + 576*T1^4 - 2016*T2 + 
      5054*T1*T2 - 2766*T1^2*T2 - 2766*T1^3*T2 + 5054*T1^4*T2 - 
      2016*T1^5*T2 + 2800*T2^2 - 2766*T1*T2^2 - 8421*T1^2*T2^2 + 
      15145*T1^3*T2^2 - 8421*T1^4*T2^2 - 2766*T1^5*T2^2 + 2800*T1^6*T2^2 - 
      2016*T2^3 - 2766*T1*T2^3 + 15145*T1^2*T2^3 - 8910*T1^3*T2^3 - 
      8910*T1^4*T2^3 + 15145*T1^5*T2^3 - 2766*T1^6*T2^3 - 2016*T1^7*T2^3 + 
      576*T2^4 + 5054*T1*T2^4 - 8421*T1^2*T2^4 - 8910*T1^3*T2^4 + 
      19920*T1^4*T2^4 - 8910*T1^5*T2^4 - 8421*T1^6*T2^4 + 5054*T1^7*T2^4 + 
      576*T1^8*T2^4 - 2016*T1*T2^5 - 2766*T1^2*T2^5 + 15145*T1^3*T2^5 - 
      8910*T1^4*T2^5 - 8910*T1^5*T2^5 + 15145*T1^6*T2^5 - 2766*T1^7*T2^5 - 
      2016*T1^8*T2^5 + 2800*T1^2*T2^6 - 2766*T1^3*T2^6 - 8421*T1^4*T2^6 + 
      15145*T1^5*T2^6 - 8421*T1^6*T2^6 - 2766*T1^7*T2^6 + 2800*T1^8*T2^6 - 
      2016*T1^3*T2^7 + 5054*T1^4*T2^7 - 2766*T1^5*T2^7 - 2766*T1^6*T2^7 + 
      5054*T1^7*T2^7 - 2016*T1^8*T2^7 + 576*T1^4*T2^8 - 2016*T1^5*T2^8 + 
      2800*T1^6*T2^8 - 2016*T1^7*T2^8 + 576*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, Alternating, 753] -> {(6 - 21*T + 31*T^2 - 21*T^3 + 6*T^4)/T^2, 
   -((99 - 351*T1 + 533*T1^2 - 351*T1^3 + 99*T1^4 - 351*T2 + 900*T1*T2 - 
      652*T1^2*T2 - 652*T1^3*T2 + 900*T1^4*T2 - 351*T1^5*T2 + 533*T2^2 - 
      652*T1*T2^2 - 854*T1^2*T2^2 + 2670*T1^3*T2^2 - 854*T1^4*T2^2 - 
      652*T1^5*T2^2 + 533*T1^6*T2^2 - 351*T2^3 - 652*T1*T2^3 + 
      2670*T1^2*T2^3 - 2414*T1^3*T2^3 - 2414*T1^4*T2^3 + 2670*T1^5*T2^3 - 
      652*T1^6*T2^3 - 351*T1^7*T2^3 + 99*T2^4 + 900*T1*T2^4 - 854*T1^2*T2^4 - 
      2414*T1^3*T2^4 + 6432*T1^4*T2^4 - 2414*T1^5*T2^4 - 854*T1^6*T2^4 + 
      900*T1^7*T2^4 + 99*T1^8*T2^4 - 351*T1*T2^5 - 652*T1^2*T2^5 + 
      2670*T1^3*T2^5 - 2414*T1^4*T2^5 - 2414*T1^5*T2^5 + 2670*T1^6*T2^5 - 
      652*T1^7*T2^5 - 351*T1^8*T2^5 + 533*T1^2*T2^6 - 652*T1^3*T2^6 - 
      854*T1^4*T2^6 + 2670*T1^5*T2^6 - 854*T1^6*T2^6 - 652*T1^7*T2^6 + 
      533*T1^8*T2^6 - 351*T1^3*T2^7 + 900*T1^4*T2^7 - 652*T1^5*T2^7 - 
      652*T1^6*T2^7 + 900*T1^7*T2^7 - 351*T1^8*T2^7 + 99*T1^4*T2^8 - 
      351*T1^5*T2^8 + 533*T1^6*T2^8 - 351*T1^7*T2^8 + 99*T1^8*T2^8)/
     (T1^4*T2^4))}, 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), -((1 - 9*T1 + 30*T1^2 - 57*T1^3 + 69*T1^4 - 57*T1^5 + 30*T1^6 - 
      9*T1^7 + T1^8 - 9*T2 + 72*T1*T2 - 189*T1^2*T2 + 242*T1^3*T2 - 
      107*T1^4*T2 - 107*T1^5*T2 + 242*T1^6*T2 - 189*T1^7*T2 + 72*T1^8*T2 - 
      9*T1^9*T2 + 30*T2^2 - 189*T1*T2^2 + 207*T1^2*T2^2 + 427*T1^3*T2^2 - 
      1585*T1^4*T2^2 + 2083*T1^5*T2^2 - 1585*T1^6*T2^2 + 427*T1^7*T2^2 + 
      207*T1^8*T2^2 - 189*T1^9*T2^2 + 30*T1^10*T2^2 - 57*T2^3 + 242*T1*T2^3 + 
      427*T1^2*T2^3 - 2420*T1^3*T2^3 + 3767*T1^4*T2^3 - 1659*T1^5*T2^3 - 
      1659*T1^6*T2^3 + 3767*T1^7*T2^3 - 2420*T1^8*T2^3 + 427*T1^9*T2^3 + 
      242*T1^10*T2^3 - 57*T1^11*T2^3 + 69*T2^4 - 107*T1*T2^4 - 
      1585*T1^2*T2^4 + 3767*T1^3*T2^4 - 1769*T1^4*T2^4 - 5480*T1^5*T2^4 + 
      8461*T1^6*T2^4 - 5480*T1^7*T2^4 - 1769*T1^8*T2^4 + 3767*T1^9*T2^4 - 
      1585*T1^10*T2^4 - 107*T1^11*T2^4 + 69*T1^12*T2^4 - 57*T2^5 - 
      107*T1*T2^5 + 2083*T1^2*T2^5 - 1659*T1^3*T2^5 - 5480*T1^4*T2^5 + 
      12900*T1^5*T2^5 - 5836*T1^6*T2^5 - 5836*T1^7*T2^5 + 12900*T1^8*T2^5 - 
      5480*T1^9*T2^5 - 1659*T1^10*T2^5 + 2083*T1^11*T2^5 - 107*T1^12*T2^5 - 
      57*T1^13*T2^5 + 30*T2^6 + 242*T1*T2^6 - 1585*T1^2*T2^6 - 
      1659*T1^3*T2^6 + 8461*T1^4*T2^6 - 5836*T1^5*T2^6 - 13328*T1^6*T2^6 + 
      21378*T1^7*T2^6 - 13328*T1^8*T2^6 - 5836*T1^9*T2^6 + 8461*T1^10*T2^6 - 
      1659*T1^11*T2^6 - 1585*T1^12*T2^6 + 242*T1^13*T2^6 + 30*T1^14*T2^6 - 
      9*T2^7 - 189*T1*T2^7 + 427*T1^2*T2^7 + 3767*T1^3*T2^7 - 
      5480*T1^4*T2^7 - 5836*T1^5*T2^7 + 21378*T1^6*T2^7 - 10162*T1^7*T2^7 - 
      10162*T1^8*T2^7 + 21378*T1^9*T2^7 - 5836*T1^10*T2^7 - 5480*T1^11*T2^7 + 
      3767*T1^12*T2^7 + 427*T1^13*T2^7 - 189*T1^14*T2^7 - 9*T1^15*T2^7 + 
      T2^8 + 72*T1*T2^8 + 207*T1^2*T2^8 - 2420*T1^3*T2^8 - 1769*T1^4*T2^8 + 
      12900*T1^5*T2^8 - 13328*T1^6*T2^8 - 10162*T1^7*T2^8 + 20520*T1^8*T2^8 - 
      10162*T1^9*T2^8 - 13328*T1^10*T2^8 + 12900*T1^11*T2^8 - 
      1769*T1^12*T2^8 - 2420*T1^13*T2^8 + 207*T1^14*T2^8 + 72*T1^15*T2^8 + 
      T1^16*T2^8 - 9*T1*T2^9 - 189*T1^2*T2^9 + 427*T1^3*T2^9 + 
      3767*T1^4*T2^9 - 5480*T1^5*T2^9 - 5836*T1^6*T2^9 + 21378*T1^7*T2^9 - 
      10162*T1^8*T2^9 - 10162*T1^9*T2^9 + 21378*T1^10*T2^9 - 
      5836*T1^11*T2^9 - 5480*T1^12*T2^9 + 3767*T1^13*T2^9 + 427*T1^14*T2^9 - 
      189*T1^15*T2^9 - 9*T1^16*T2^9 + 30*T1^2*T2^10 + 242*T1^3*T2^10 - 
      1585*T1^4*T2^10 - 1659*T1^5*T2^10 + 8461*T1^6*T2^10 - 5836*T1^7*T2^10 - 
      13328*T1^8*T2^10 + 21378*T1^9*T2^10 - 13328*T1^10*T2^10 - 
      5836*T1^11*T2^10 + 8461*T1^12*T2^10 - 1659*T1^13*T2^10 - 
      1585*T1^14*T2^10 + 242*T1^15*T2^10 + 30*T1^16*T2^10 - 57*T1^3*T2^11 - 
      107*T1^4*T2^11 + 2083*T1^5*T2^11 - 1659*T1^6*T2^11 - 5480*T1^7*T2^11 + 
      12900*T1^8*T2^11 - 5836*T1^9*T2^11 - 5836*T1^10*T2^11 + 
      12900*T1^11*T2^11 - 5480*T1^12*T2^11 - 1659*T1^13*T2^11 + 
      2083*T1^14*T2^11 - 107*T1^15*T2^11 - 57*T1^16*T2^11 + 69*T1^4*T2^12 - 
      107*T1^5*T2^12 - 1585*T1^6*T2^12 + 3767*T1^7*T2^12 - 1769*T1^8*T2^12 - 
      5480*T1^9*T2^12 + 8461*T1^10*T2^12 - 5480*T1^11*T2^12 - 
      1769*T1^12*T2^12 + 3767*T1^13*T2^12 - 1585*T1^14*T2^12 - 
      107*T1^15*T2^12 + 69*T1^16*T2^12 - 57*T1^5*T2^13 + 242*T1^6*T2^13 + 
      427*T1^7*T2^13 - 2420*T1^8*T2^13 + 3767*T1^9*T2^13 - 1659*T1^10*T2^13 - 
      1659*T1^11*T2^13 + 3767*T1^12*T2^13 - 2420*T1^13*T2^13 + 
      427*T1^14*T2^13 + 242*T1^15*T2^13 - 57*T1^16*T2^13 + 30*T1^6*T2^14 - 
      189*T1^7*T2^14 + 207*T1^8*T2^14 + 427*T1^9*T2^14 - 1585*T1^10*T2^14 + 
      2083*T1^11*T2^14 - 1585*T1^12*T2^14 + 427*T1^13*T2^14 + 
      207*T1^14*T2^14 - 189*T1^15*T2^14 + 30*T1^16*T2^14 - 9*T1^7*T2^15 + 
      72*T1^8*T2^15 - 189*T1^9*T2^15 + 242*T1^10*T2^15 - 107*T1^11*T2^15 - 
      107*T1^12*T2^15 + 242*T1^13*T2^15 - 189*T1^14*T2^15 + 72*T1^15*T2^15 - 
      9*T1^16*T2^15 + T1^8*T2^16 - 9*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 - 
      9*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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), -((9 - 48*T1 + 132*T1^2 - 239*T1^3 + 287*T1^4 - 239*T1^5 + 
      132*T1^6 - 48*T1^7 + 9*T1^8 - 48*T2 + 210*T1*T2 - 455*T1^2*T2 + 
      581*T1^3*T2 - 262*T1^4*T2 - 262*T1^5*T2 + 581*T1^6*T2 - 455*T1^7*T2 + 
      210*T1^8*T2 - 48*T1^9*T2 + 132*T2^2 - 455*T1*T2^2 + 714*T1^2*T2^2 - 
      443*T1^3*T2^2 - 730*T1^4*T2^2 + 1286*T1^5*T2^2 - 730*T1^6*T2^2 - 
      443*T1^7*T2^2 + 714*T1^8*T2^2 - 455*T1^9*T2^2 + 132*T1^10*T2^2 - 
      239*T2^3 + 581*T1*T2^3 - 443*T1^2*T2^3 - 548*T1^3*T2^3 + 
      2240*T1^4*T2^3 - 1089*T1^5*T2^3 - 1089*T1^6*T2^3 + 2240*T1^7*T2^3 - 
      548*T1^8*T2^3 - 443*T1^9*T2^3 + 581*T1^10*T2^3 - 239*T1^11*T2^3 + 
      287*T2^4 - 262*T1*T2^4 - 730*T1^2*T2^4 + 2240*T1^3*T2^4 - 
      3215*T1^4*T2^4 - 1150*T1^5*T2^4 + 2975*T1^6*T2^4 - 1150*T1^7*T2^4 - 
      3215*T1^8*T2^4 + 2240*T1^9*T2^4 - 730*T1^10*T2^4 - 262*T1^11*T2^4 + 
      287*T1^12*T2^4 - 239*T2^5 - 262*T1*T2^5 + 1286*T1^2*T2^5 - 
      1089*T1^3*T2^5 - 1150*T1^4*T2^5 + 7926*T1^5*T2^5 - 3689*T1^6*T2^5 - 
      3689*T1^7*T2^5 + 7926*T1^8*T2^5 - 1150*T1^9*T2^5 - 1089*T1^10*T2^5 + 
      1286*T1^11*T2^5 - 262*T1^12*T2^5 - 239*T1^13*T2^5 + 132*T2^6 + 
      581*T1*T2^6 - 730*T1^2*T2^6 - 1089*T1^3*T2^6 + 2975*T1^4*T2^6 - 
      3689*T1^5*T2^6 - 11811*T1^6*T2^6 + 18061*T1^7*T2^6 - 11811*T1^8*T2^6 - 
      3689*T1^9*T2^6 + 2975*T1^10*T2^6 - 1089*T1^11*T2^6 - 730*T1^12*T2^6 + 
      581*T1^13*T2^6 + 132*T1^14*T2^6 - 48*T2^7 - 455*T1*T2^7 - 
      443*T1^2*T2^7 + 2240*T1^3*T2^7 - 1150*T1^4*T2^7 - 3689*T1^5*T2^7 + 
      18061*T1^6*T2^7 - 8342*T1^7*T2^7 - 8342*T1^8*T2^7 + 18061*T1^9*T2^7 - 
      3689*T1^10*T2^7 - 1150*T1^11*T2^7 + 2240*T1^12*T2^7 - 443*T1^13*T2^7 - 
      455*T1^14*T2^7 - 48*T1^15*T2^7 + 9*T2^8 + 210*T1*T2^8 + 714*T1^2*T2^8 - 
      548*T1^3*T2^8 - 3215*T1^4*T2^8 + 7926*T1^5*T2^8 - 11811*T1^6*T2^8 - 
      8342*T1^7*T2^8 + 16512*T1^8*T2^8 - 8342*T1^9*T2^8 - 11811*T1^10*T2^8 + 
      7926*T1^11*T2^8 - 3215*T1^12*T2^8 - 548*T1^13*T2^8 + 714*T1^14*T2^8 + 
      210*T1^15*T2^8 + 9*T1^16*T2^8 - 48*T1*T2^9 - 455*T1^2*T2^9 - 
      443*T1^3*T2^9 + 2240*T1^4*T2^9 - 1150*T1^5*T2^9 - 3689*T1^6*T2^9 + 
      18061*T1^7*T2^9 - 8342*T1^8*T2^9 - 8342*T1^9*T2^9 + 18061*T1^10*T2^9 - 
      3689*T1^11*T2^9 - 1150*T1^12*T2^9 + 2240*T1^13*T2^9 - 443*T1^14*T2^9 - 
      455*T1^15*T2^9 - 48*T1^16*T2^9 + 132*T1^2*T2^10 + 581*T1^3*T2^10 - 
      730*T1^4*T2^10 - 1089*T1^5*T2^10 + 2975*T1^6*T2^10 - 3689*T1^7*T2^10 - 
      11811*T1^8*T2^10 + 18061*T1^9*T2^10 - 11811*T1^10*T2^10 - 
      3689*T1^11*T2^10 + 2975*T1^12*T2^10 - 1089*T1^13*T2^10 - 
      730*T1^14*T2^10 + 581*T1^15*T2^10 + 132*T1^16*T2^10 - 239*T1^3*T2^11 - 
      262*T1^4*T2^11 + 1286*T1^5*T2^11 - 1089*T1^6*T2^11 - 1150*T1^7*T2^11 + 
      7926*T1^8*T2^11 - 3689*T1^9*T2^11 - 3689*T1^10*T2^11 + 
      7926*T1^11*T2^11 - 1150*T1^12*T2^11 - 1089*T1^13*T2^11 + 
      1286*T1^14*T2^11 - 262*T1^15*T2^11 - 239*T1^16*T2^11 + 287*T1^4*T2^12 - 
      262*T1^5*T2^12 - 730*T1^6*T2^12 + 2240*T1^7*T2^12 - 3215*T1^8*T2^12 - 
      1150*T1^9*T2^12 + 2975*T1^10*T2^12 - 1150*T1^11*T2^12 - 
      3215*T1^12*T2^12 + 2240*T1^13*T2^12 - 730*T1^14*T2^12 - 
      262*T1^15*T2^12 + 287*T1^16*T2^12 - 239*T1^5*T2^13 + 581*T1^6*T2^13 - 
      443*T1^7*T2^13 - 548*T1^8*T2^13 + 2240*T1^9*T2^13 - 1089*T1^10*T2^13 - 
      1089*T1^11*T2^13 + 2240*T1^12*T2^13 - 548*T1^13*T2^13 - 
      443*T1^14*T2^13 + 581*T1^15*T2^13 - 239*T1^16*T2^13 + 132*T1^6*T2^14 - 
      455*T1^7*T2^14 + 714*T1^8*T2^14 - 443*T1^9*T2^14 - 730*T1^10*T2^14 + 
      1286*T1^11*T2^14 - 730*T1^12*T2^14 - 443*T1^13*T2^14 + 
      714*T1^14*T2^14 - 455*T1^15*T2^14 + 132*T1^16*T2^14 - 48*T1^7*T2^15 + 
      210*T1^8*T2^15 - 455*T1^9*T2^15 + 581*T1^10*T2^15 - 262*T1^11*T2^15 - 
      262*T1^12*T2^15 + 581*T1^13*T2^15 - 455*T1^14*T2^15 + 210*T1^15*T2^15 - 
      48*T1^16*T2^15 + 9*T1^8*T2^16 - 48*T1^9*T2^16 + 132*T1^10*T2^16 - 
      239*T1^11*T2^16 + 287*T1^12*T2^16 - 239*T1^13*T2^16 + 132*T1^14*T2^16 - 
      48*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8))}, 
 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), (1 - 8*T1 + 23*T1^2 - 39*T1^3 + 45*T1^4 - 39*T1^5 + 23*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 119*T1^2*T2 + 126*T1^3*T2 - 
     47*T1^4*T2 - 47*T1^5*T2 + 126*T1^6*T2 - 119*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 23*T2^2 - 119*T1*T2^2 + 35*T1^2*T2^2 + 393*T1^3*T2^2 - 
     920*T1^4*T2^2 + 1069*T1^5*T2^2 - 920*T1^6*T2^2 + 393*T1^7*T2^2 + 
     35*T1^8*T2^2 - 119*T1^9*T2^2 + 23*T1^10*T2^2 - 39*T2^3 + 126*T1*T2^3 + 
     393*T1^2*T2^3 - 1278*T1^3*T2^3 + 1513*T1^4*T2^3 - 508*T1^5*T2^3 - 
     508*T1^6*T2^3 + 1513*T1^7*T2^3 - 1278*T1^8*T2^3 + 393*T1^9*T2^3 + 
     126*T1^10*T2^3 - 39*T1^11*T2^3 + 45*T2^4 - 47*T1*T2^4 - 920*T1^2*T2^4 + 
     1513*T1^3*T2^4 - 365*T1^4*T2^4 - 1955*T1^5*T2^4 + 2395*T1^6*T2^4 - 
     1955*T1^7*T2^4 - 365*T1^8*T2^4 + 1513*T1^9*T2^4 - 920*T1^10*T2^4 - 
     47*T1^11*T2^4 + 45*T1^12*T2^4 - 39*T2^5 - 47*T1*T2^5 + 1069*T1^2*T2^5 - 
     508*T1^3*T2^5 - 1955*T1^4*T2^5 + 3748*T1^5*T2^5 - 1292*T1^6*T2^5 - 
     1292*T1^7*T2^5 + 3748*T1^8*T2^5 - 1955*T1^9*T2^5 - 508*T1^10*T2^5 + 
     1069*T1^11*T2^5 - 47*T1^12*T2^5 - 39*T1^13*T2^5 + 23*T2^6 + 
     126*T1*T2^6 - 920*T1^2*T2^6 - 508*T1^3*T2^6 + 2395*T1^4*T2^6 - 
     1292*T1^5*T2^6 - 4014*T1^6*T2^6 + 5626*T1^7*T2^6 - 4014*T1^8*T2^6 - 
     1292*T1^9*T2^6 + 2395*T1^10*T2^6 - 508*T1^11*T2^6 - 920*T1^12*T2^6 + 
     126*T1^13*T2^6 + 23*T1^14*T2^6 - 8*T2^7 - 119*T1*T2^7 + 393*T1^2*T2^7 + 
     1513*T1^3*T2^7 - 1955*T1^4*T2^7 - 1292*T1^5*T2^7 + 5626*T1^6*T2^7 - 
     2544*T1^7*T2^7 - 2544*T1^8*T2^7 + 5626*T1^9*T2^7 - 1292*T1^10*T2^7 - 
     1955*T1^11*T2^7 + 1513*T1^12*T2^7 + 393*T1^13*T2^7 - 119*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 35*T1^2*T2^8 - 1278*T1^3*T2^8 - 
     365*T1^4*T2^8 + 3748*T1^5*T2^8 - 4014*T1^6*T2^8 - 2544*T1^7*T2^8 + 
     5352*T1^8*T2^8 - 2544*T1^9*T2^8 - 4014*T1^10*T2^8 + 3748*T1^11*T2^8 - 
     365*T1^12*T2^8 - 1278*T1^13*T2^8 + 35*T1^14*T2^8 + 56*T1^15*T2^8 + 
     T1^16*T2^8 - 8*T1*T2^9 - 119*T1^2*T2^9 + 393*T1^3*T2^9 + 
     1513*T1^4*T2^9 - 1955*T1^5*T2^9 - 1292*T1^6*T2^9 + 5626*T1^7*T2^9 - 
     2544*T1^8*T2^9 - 2544*T1^9*T2^9 + 5626*T1^10*T2^9 - 1292*T1^11*T2^9 - 
     1955*T1^12*T2^9 + 1513*T1^13*T2^9 + 393*T1^14*T2^9 - 119*T1^15*T2^9 - 
     8*T1^16*T2^9 + 23*T1^2*T2^10 + 126*T1^3*T2^10 - 920*T1^4*T2^10 - 
     508*T1^5*T2^10 + 2395*T1^6*T2^10 - 1292*T1^7*T2^10 - 4014*T1^8*T2^10 + 
     5626*T1^9*T2^10 - 4014*T1^10*T2^10 - 1292*T1^11*T2^10 + 
     2395*T1^12*T2^10 - 508*T1^13*T2^10 - 920*T1^14*T2^10 + 126*T1^15*T2^10 + 
     23*T1^16*T2^10 - 39*T1^3*T2^11 - 47*T1^4*T2^11 + 1069*T1^5*T2^11 - 
     508*T1^6*T2^11 - 1955*T1^7*T2^11 + 3748*T1^8*T2^11 - 1292*T1^9*T2^11 - 
     1292*T1^10*T2^11 + 3748*T1^11*T2^11 - 1955*T1^12*T2^11 - 
     508*T1^13*T2^11 + 1069*T1^14*T2^11 - 47*T1^15*T2^11 - 39*T1^16*T2^11 + 
     45*T1^4*T2^12 - 47*T1^5*T2^12 - 920*T1^6*T2^12 + 1513*T1^7*T2^12 - 
     365*T1^8*T2^12 - 1955*T1^9*T2^12 + 2395*T1^10*T2^12 - 1955*T1^11*T2^12 - 
     365*T1^12*T2^12 + 1513*T1^13*T2^12 - 920*T1^14*T2^12 - 47*T1^15*T2^12 + 
     45*T1^16*T2^12 - 39*T1^5*T2^13 + 126*T1^6*T2^13 + 393*T1^7*T2^13 - 
     1278*T1^8*T2^13 + 1513*T1^9*T2^13 - 508*T1^10*T2^13 - 508*T1^11*T2^13 + 
     1513*T1^12*T2^13 - 1278*T1^13*T2^13 + 393*T1^14*T2^13 + 
     126*T1^15*T2^13 - 39*T1^16*T2^13 + 23*T1^6*T2^14 - 119*T1^7*T2^14 + 
     35*T1^8*T2^14 + 393*T1^9*T2^14 - 920*T1^10*T2^14 + 1069*T1^11*T2^14 - 
     920*T1^12*T2^14 + 393*T1^13*T2^14 + 35*T1^14*T2^14 - 119*T1^15*T2^14 + 
     23*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 119*T1^9*T2^15 + 
     126*T1^10*T2^15 - 47*T1^11*T2^15 - 47*T1^12*T2^15 + 126*T1^13*T2^15 - 
     119*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
     8*T1^9*T2^16 + 23*T1^10*T2^16 - 39*T1^11*T2^16 + 45*T1^12*T2^16 - 
     39*T1^13*T2^16 + 23*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, 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), -((9 - 39*T1 + 84*T1^2 - 133*T1^3 + 153*T1^4 - 133*T1^5 + 
      84*T1^6 - 39*T1^7 + 9*T1^8 - 39*T2 + 132*T1*T2 - 201*T1^2*T2 + 
      219*T1^3*T2 - 90*T1^4*T2 - 90*T1^5*T2 + 219*T1^6*T2 - 201*T1^7*T2 + 
      132*T1^8*T2 - 39*T1^9*T2 + 84*T2^2 - 201*T1*T2^2 + 143*T1^2*T2^2 - 
      16*T1^3*T2^2 - 325*T1^4*T2^2 + 451*T1^5*T2^2 - 325*T1^6*T2^2 - 
      16*T1^7*T2^2 + 143*T1^8*T2^2 - 201*T1^9*T2^2 + 84*T1^10*T2^2 - 
      133*T2^3 + 219*T1*T2^3 - 16*T1^2*T2^3 - 34*T1^3*T2^3 + 371*T1^4*T2^3 - 
      143*T1^5*T2^3 - 143*T1^6*T2^3 + 371*T1^7*T2^3 - 34*T1^8*T2^3 - 
      16*T1^9*T2^3 + 219*T1^10*T2^3 - 133*T1^11*T2^3 + 153*T2^4 - 
      90*T1*T2^4 - 325*T1^2*T2^4 + 371*T1^3*T2^4 - 1096*T1^4*T2^4 + 
      817*T1^5*T2^4 - 854*T1^6*T2^4 + 817*T1^7*T2^4 - 1096*T1^8*T2^4 + 
      371*T1^9*T2^4 - 325*T1^10*T2^4 - 90*T1^11*T2^4 + 153*T1^12*T2^4 - 
      133*T2^5 - 90*T1*T2^5 + 451*T1^2*T2^5 - 143*T1^3*T2^5 + 817*T1^4*T2^5 + 
      156*T1^5*T2^5 + 24*T1^6*T2^5 + 24*T1^7*T2^5 + 156*T1^8*T2^5 + 
      817*T1^9*T2^5 - 143*T1^10*T2^5 + 451*T1^11*T2^5 - 90*T1^12*T2^5 - 
      133*T1^13*T2^5 + 84*T2^6 + 219*T1*T2^6 - 325*T1^2*T2^6 - 
      143*T1^3*T2^6 - 854*T1^4*T2^6 + 24*T1^5*T2^6 - 1424*T1^6*T2^6 + 
      1592*T1^7*T2^6 - 1424*T1^8*T2^6 + 24*T1^9*T2^6 - 854*T1^10*T2^6 - 
      143*T1^11*T2^6 - 325*T1^12*T2^6 + 219*T1^13*T2^6 + 84*T1^14*T2^6 - 
      39*T2^7 - 201*T1*T2^7 - 16*T1^2*T2^7 + 371*T1^3*T2^7 + 817*T1^4*T2^7 + 
      24*T1^5*T2^7 + 1592*T1^6*T2^7 - 492*T1^7*T2^7 - 492*T1^8*T2^7 + 
      1592*T1^9*T2^7 + 24*T1^10*T2^7 + 817*T1^11*T2^7 + 371*T1^12*T2^7 - 
      16*T1^13*T2^7 - 201*T1^14*T2^7 - 39*T1^15*T2^7 + 9*T2^8 + 132*T1*T2^8 + 
      143*T1^2*T2^8 - 34*T1^3*T2^8 - 1096*T1^4*T2^8 + 156*T1^5*T2^8 - 
      1424*T1^6*T2^8 - 492*T1^7*T2^8 + 768*T1^8*T2^8 - 492*T1^9*T2^8 - 
      1424*T1^10*T2^8 + 156*T1^11*T2^8 - 1096*T1^12*T2^8 - 34*T1^13*T2^8 + 
      143*T1^14*T2^8 + 132*T1^15*T2^8 + 9*T1^16*T2^8 - 39*T1*T2^9 - 
      201*T1^2*T2^9 - 16*T1^3*T2^9 + 371*T1^4*T2^9 + 817*T1^5*T2^9 + 
      24*T1^6*T2^9 + 1592*T1^7*T2^9 - 492*T1^8*T2^9 - 492*T1^9*T2^9 + 
      1592*T1^10*T2^9 + 24*T1^11*T2^9 + 817*T1^12*T2^9 + 371*T1^13*T2^9 - 
      16*T1^14*T2^9 - 201*T1^15*T2^9 - 39*T1^16*T2^9 + 84*T1^2*T2^10 + 
      219*T1^3*T2^10 - 325*T1^4*T2^10 - 143*T1^5*T2^10 - 854*T1^6*T2^10 + 
      24*T1^7*T2^10 - 1424*T1^8*T2^10 + 1592*T1^9*T2^10 - 1424*T1^10*T2^10 + 
      24*T1^11*T2^10 - 854*T1^12*T2^10 - 143*T1^13*T2^10 - 325*T1^14*T2^10 + 
      219*T1^15*T2^10 + 84*T1^16*T2^10 - 133*T1^3*T2^11 - 90*T1^4*T2^11 + 
      451*T1^5*T2^11 - 143*T1^6*T2^11 + 817*T1^7*T2^11 + 156*T1^8*T2^11 + 
      24*T1^9*T2^11 + 24*T1^10*T2^11 + 156*T1^11*T2^11 + 817*T1^12*T2^11 - 
      143*T1^13*T2^11 + 451*T1^14*T2^11 - 90*T1^15*T2^11 - 133*T1^16*T2^11 + 
      153*T1^4*T2^12 - 90*T1^5*T2^12 - 325*T1^6*T2^12 + 371*T1^7*T2^12 - 
      1096*T1^8*T2^12 + 817*T1^9*T2^12 - 854*T1^10*T2^12 + 817*T1^11*T2^12 - 
      1096*T1^12*T2^12 + 371*T1^13*T2^12 - 325*T1^14*T2^12 - 90*T1^15*T2^12 + 
      153*T1^16*T2^12 - 133*T1^5*T2^13 + 219*T1^6*T2^13 - 16*T1^7*T2^13 - 
      34*T1^8*T2^13 + 371*T1^9*T2^13 - 143*T1^10*T2^13 - 143*T1^11*T2^13 + 
      371*T1^12*T2^13 - 34*T1^13*T2^13 - 16*T1^14*T2^13 + 219*T1^15*T2^13 - 
      133*T1^16*T2^13 + 84*T1^6*T2^14 - 201*T1^7*T2^14 + 143*T1^8*T2^14 - 
      16*T1^9*T2^14 - 325*T1^10*T2^14 + 451*T1^11*T2^14 - 325*T1^12*T2^14 - 
      16*T1^13*T2^14 + 143*T1^14*T2^14 - 201*T1^15*T2^14 + 84*T1^16*T2^14 - 
      39*T1^7*T2^15 + 132*T1^8*T2^15 - 201*T1^9*T2^15 + 219*T1^10*T2^15 - 
      90*T1^11*T2^15 - 90*T1^12*T2^15 + 219*T1^13*T2^15 - 201*T1^14*T2^15 + 
      132*T1^15*T2^15 - 39*T1^16*T2^15 + 9*T1^8*T2^16 - 39*T1^9*T2^16 + 
      84*T1^10*T2^16 - 133*T1^11*T2^16 + 153*T1^12*T2^16 - 133*T1^13*T2^16 + 
      84*T1^14*T2^16 - 39*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 758] -> 
  {-((3 - 13*T + 25*T^2 - 31*T^3 + 25*T^4 - 13*T^5 + 3*T^6)/T^3), 
   -((9 - 35*T1 + 65*T1^2 - 83*T1^3 + 65*T1^4 - 35*T1^5 + 9*T1^6 - 35*T2 + 
      102*T1*T2 - 118*T1^2*T2 + 70*T1^3*T2 + 70*T1^4*T2 - 118*T1^5*T2 + 
      102*T1^6*T2 - 35*T1^7*T2 + 65*T2^2 - 118*T1*T2^2 + 17*T1^2*T2^2 + 
      61*T1^3*T2^2 - 203*T1^4*T2^2 + 61*T1^5*T2^2 + 17*T1^6*T2^2 - 
      118*T1^7*T2^2 + 65*T1^8*T2^2 - 83*T2^3 + 70*T1*T2^3 + 61*T1^2*T2^3 + 
      142*T1^3*T2^3 + 32*T1^4*T2^3 + 32*T1^5*T2^3 + 142*T1^6*T2^3 + 
      61*T1^7*T2^3 + 70*T1^8*T2^3 - 83*T1^9*T2^3 + 65*T2^4 + 70*T1*T2^4 - 
      203*T1^2*T2^4 + 32*T1^3*T2^4 - 1128*T1^4*T2^4 + 1360*T1^5*T2^4 - 
      1128*T1^6*T2^4 + 32*T1^7*T2^4 - 203*T1^8*T2^4 + 70*T1^9*T2^4 + 
      65*T1^10*T2^4 - 35*T2^5 - 118*T1*T2^5 + 61*T1^2*T2^5 + 32*T1^3*T2^5 + 
      1360*T1^4*T2^5 - 524*T1^5*T2^5 - 524*T1^6*T2^5 + 1360*T1^7*T2^5 + 
      32*T1^8*T2^5 + 61*T1^9*T2^5 - 118*T1^10*T2^5 - 35*T1^11*T2^5 + 9*T2^6 + 
      102*T1*T2^6 + 17*T1^2*T2^6 + 142*T1^3*T2^6 - 1128*T1^4*T2^6 - 
      524*T1^5*T2^6 + 948*T1^6*T2^6 - 524*T1^7*T2^6 - 1128*T1^8*T2^6 + 
      142*T1^9*T2^6 + 17*T1^10*T2^6 + 102*T1^11*T2^6 + 9*T1^12*T2^6 - 
      35*T1*T2^7 - 118*T1^2*T2^7 + 61*T1^3*T2^7 + 32*T1^4*T2^7 + 
      1360*T1^5*T2^7 - 524*T1^6*T2^7 - 524*T1^7*T2^7 + 1360*T1^8*T2^7 + 
      32*T1^9*T2^7 + 61*T1^10*T2^7 - 118*T1^11*T2^7 - 35*T1^12*T2^7 + 
      65*T1^2*T2^8 + 70*T1^3*T2^8 - 203*T1^4*T2^8 + 32*T1^5*T2^8 - 
      1128*T1^6*T2^8 + 1360*T1^7*T2^8 - 1128*T1^8*T2^8 + 32*T1^9*T2^8 - 
      203*T1^10*T2^8 + 70*T1^11*T2^8 + 65*T1^12*T2^8 - 83*T1^3*T2^9 + 
      70*T1^4*T2^9 + 61*T1^5*T2^9 + 142*T1^6*T2^9 + 32*T1^7*T2^9 + 
      32*T1^8*T2^9 + 142*T1^9*T2^9 + 61*T1^10*T2^9 + 70*T1^11*T2^9 - 
      83*T1^12*T2^9 + 65*T1^4*T2^10 - 118*T1^5*T2^10 + 17*T1^6*T2^10 + 
      61*T1^7*T2^10 - 203*T1^8*T2^10 + 61*T1^9*T2^10 + 17*T1^10*T2^10 - 
      118*T1^11*T2^10 + 65*T1^12*T2^10 - 35*T1^5*T2^11 + 102*T1^6*T2^11 - 
      118*T1^7*T2^11 + 70*T1^8*T2^11 + 70*T1^9*T2^11 - 118*T1^10*T2^11 + 
      102*T1^11*T2^11 - 35*T1^12*T2^11 + 9*T1^6*T2^12 - 35*T1^7*T2^12 + 
      65*T1^8*T2^12 - 83*T1^9*T2^12 + 65*T1^10*T2^12 - 35*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   -((15 - 45*T1 + 67*T1^2 - 67*T1^3 + 67*T1^4 - 67*T1^5 + 67*T1^6 - 
      45*T1^7 + 15*T1^8 - 45*T2 + 90*T1*T2 - 66*T1^2*T2 - 66*T1^7*T2 + 
      90*T1^8*T2 - 45*T1^9*T2 + 67*T2^2 - 66*T1*T2^2 - 45*T1^2*T2^2 + 
      125*T1^3*T2^2 - 39*T1^4*T2^2 + 39*T1^5*T2^2 - 39*T1^6*T2^2 + 
      125*T1^7*T2^2 - 45*T1^8*T2^2 - 66*T1^9*T2^2 + 67*T1^10*T2^2 - 67*T2^3 + 
      125*T1^2*T2^3 - 110*T1^3*T2^3 - 62*T1^4*T2^3 - 62*T1^7*T2^3 - 
      110*T1^8*T2^3 + 125*T1^9*T2^3 - 67*T1^11*T2^3 + 67*T2^4 - 
      39*T1^2*T2^4 - 62*T1^3*T2^4 + 210*T1^4*T2^4 - 70*T1^5*T2^4 + 
      102*T1^6*T2^4 - 70*T1^7*T2^4 + 210*T1^8*T2^4 - 62*T1^9*T2^4 - 
      39*T1^10*T2^4 + 67*T1^12*T2^4 - 67*T2^5 + 39*T1^2*T2^5 - 70*T1^4*T2^5 - 
      74*T1^5*T2^5 - 8*T1^6*T2^5 - 8*T1^7*T2^5 - 74*T1^8*T2^5 - 
      70*T1^9*T2^5 + 39*T1^11*T2^5 - 67*T1^13*T2^5 + 67*T2^6 - 39*T1^2*T2^6 + 
      102*T1^4*T2^6 - 8*T1^5*T2^6 + 93*T1^6*T2^6 - 65*T1^7*T2^6 + 
      93*T1^8*T2^6 - 8*T1^9*T2^6 + 102*T1^10*T2^6 - 39*T1^12*T2^6 + 
      67*T1^14*T2^6 - 45*T2^7 - 66*T1*T2^7 + 125*T1^2*T2^7 - 62*T1^3*T2^7 - 
      70*T1^4*T2^7 - 8*T1^5*T2^7 - 65*T1^6*T2^7 + 18*T1^7*T2^7 + 
      18*T1^8*T2^7 - 65*T1^9*T2^7 - 8*T1^10*T2^7 - 70*T1^11*T2^7 - 
      62*T1^12*T2^7 + 125*T1^13*T2^7 - 66*T1^14*T2^7 - 45*T1^15*T2^7 + 
      15*T2^8 + 90*T1*T2^8 - 45*T1^2*T2^8 - 110*T1^3*T2^8 + 210*T1^4*T2^8 - 
      74*T1^5*T2^8 + 93*T1^6*T2^8 + 18*T1^7*T2^8 - 60*T1^8*T2^8 + 
      18*T1^9*T2^8 + 93*T1^10*T2^8 - 74*T1^11*T2^8 + 210*T1^12*T2^8 - 
      110*T1^13*T2^8 - 45*T1^14*T2^8 + 90*T1^15*T2^8 + 15*T1^16*T2^8 - 
      45*T1*T2^9 - 66*T1^2*T2^9 + 125*T1^3*T2^9 - 62*T1^4*T2^9 - 
      70*T1^5*T2^9 - 8*T1^6*T2^9 - 65*T1^7*T2^9 + 18*T1^8*T2^9 + 
      18*T1^9*T2^9 - 65*T1^10*T2^9 - 8*T1^11*T2^9 - 70*T1^12*T2^9 - 
      62*T1^13*T2^9 + 125*T1^14*T2^9 - 66*T1^15*T2^9 - 45*T1^16*T2^9 + 
      67*T1^2*T2^10 - 39*T1^4*T2^10 + 102*T1^6*T2^10 - 8*T1^7*T2^10 + 
      93*T1^8*T2^10 - 65*T1^9*T2^10 + 93*T1^10*T2^10 - 8*T1^11*T2^10 + 
      102*T1^12*T2^10 - 39*T1^14*T2^10 + 67*T1^16*T2^10 - 67*T1^3*T2^11 + 
      39*T1^5*T2^11 - 70*T1^7*T2^11 - 74*T1^8*T2^11 - 8*T1^9*T2^11 - 
      8*T1^10*T2^11 - 74*T1^11*T2^11 - 70*T1^12*T2^11 + 39*T1^14*T2^11 - 
      67*T1^16*T2^11 + 67*T1^4*T2^12 - 39*T1^6*T2^12 - 62*T1^7*T2^12 + 
      210*T1^8*T2^12 - 70*T1^9*T2^12 + 102*T1^10*T2^12 - 70*T1^11*T2^12 + 
      210*T1^12*T2^12 - 62*T1^13*T2^12 - 39*T1^14*T2^12 + 67*T1^16*T2^12 - 
      67*T1^5*T2^13 + 125*T1^7*T2^13 - 110*T1^8*T2^13 - 62*T1^9*T2^13 - 
      62*T1^12*T2^13 - 110*T1^13*T2^13 + 125*T1^14*T2^13 - 67*T1^16*T2^13 + 
      67*T1^6*T2^14 - 66*T1^7*T2^14 - 45*T1^8*T2^14 + 125*T1^9*T2^14 - 
      39*T1^10*T2^14 + 39*T1^11*T2^14 - 39*T1^12*T2^14 + 125*T1^13*T2^14 - 
      45*T1^14*T2^14 - 66*T1^15*T2^14 + 67*T1^16*T2^14 - 45*T1^7*T2^15 + 
      90*T1^8*T2^15 - 66*T1^9*T2^15 - 66*T1^14*T2^15 + 90*T1^15*T2^15 - 
      45*T1^16*T2^15 + 15*T1^8*T2^16 - 45*T1^9*T2^16 + 67*T1^10*T2^16 - 
      67*T1^11*T2^16 + 67*T1^12*T2^16 - 67*T1^13*T2^16 + 67*T1^14*T2^16 - 
      45*T1^15*T2^16 + 15*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 760] -> 
  {(4 - 14*T + 24*T^2 - 27*T^3 + 24*T^4 - 14*T^5 + 4*T^6)/T^3, 
   -((64 - 220*T1 + 368*T1^2 - 408*T1^3 + 368*T1^4 - 220*T1^5 + 64*T1^6 - 
      220*T2 + 538*T1*T2 - 512*T1^2*T2 + 140*T1^3*T2 + 140*T1^4*T2 - 
      512*T1^5*T2 + 538*T1^6*T2 - 220*T1^7*T2 + 368*T2^2 - 512*T1*T2^2 - 
      169*T1^2*T2^2 + 957*T1^3*T2^2 - 937*T1^4*T2^2 + 957*T1^5*T2^2 - 
      169*T1^6*T2^2 - 512*T1^7*T2^2 + 368*T1^8*T2^2 - 408*T2^3 + 
      140*T1*T2^3 + 957*T1^2*T2^3 - 1304*T1^3*T2^3 + 264*T1^4*T2^3 + 
      264*T1^5*T2^3 - 1304*T1^6*T2^3 + 957*T1^7*T2^3 + 140*T1^8*T2^3 - 
      408*T1^9*T2^3 + 368*T2^4 + 140*T1*T2^4 - 937*T1^2*T2^4 + 
      264*T1^3*T2^4 + 1486*T1^4*T2^4 - 1654*T1^5*T2^4 + 1486*T1^6*T2^4 + 
      264*T1^7*T2^4 - 937*T1^8*T2^4 + 140*T1^9*T2^4 + 368*T1^10*T2^4 - 
      220*T2^5 - 512*T1*T2^5 + 957*T1^2*T2^5 + 264*T1^3*T2^5 - 
      1654*T1^4*T2^5 + 608*T1^5*T2^5 + 608*T1^6*T2^5 - 1654*T1^7*T2^5 + 
      264*T1^8*T2^5 + 957*T1^9*T2^5 - 512*T1^10*T2^5 - 220*T1^11*T2^5 + 
      64*T2^6 + 538*T1*T2^6 - 169*T1^2*T2^6 - 1304*T1^3*T2^6 + 
      1486*T1^4*T2^6 + 608*T1^5*T2^6 - 1308*T1^6*T2^6 + 608*T1^7*T2^6 + 
      1486*T1^8*T2^6 - 1304*T1^9*T2^6 - 169*T1^10*T2^6 + 538*T1^11*T2^6 + 
      64*T1^12*T2^6 - 220*T1*T2^7 - 512*T1^2*T2^7 + 957*T1^3*T2^7 + 
      264*T1^4*T2^7 - 1654*T1^5*T2^7 + 608*T1^6*T2^7 + 608*T1^7*T2^7 - 
      1654*T1^8*T2^7 + 264*T1^9*T2^7 + 957*T1^10*T2^7 - 512*T1^11*T2^7 - 
      220*T1^12*T2^7 + 368*T1^2*T2^8 + 140*T1^3*T2^8 - 937*T1^4*T2^8 + 
      264*T1^5*T2^8 + 1486*T1^6*T2^8 - 1654*T1^7*T2^8 + 1486*T1^8*T2^8 + 
      264*T1^9*T2^8 - 937*T1^10*T2^8 + 140*T1^11*T2^8 + 368*T1^12*T2^8 - 
      408*T1^3*T2^9 + 140*T1^4*T2^9 + 957*T1^5*T2^9 - 1304*T1^6*T2^9 + 
      264*T1^7*T2^9 + 264*T1^8*T2^9 - 1304*T1^9*T2^9 + 957*T1^10*T2^9 + 
      140*T1^11*T2^9 - 408*T1^12*T2^9 + 368*T1^4*T2^10 - 512*T1^5*T2^10 - 
      169*T1^6*T2^10 + 957*T1^7*T2^10 - 937*T1^8*T2^10 + 957*T1^9*T2^10 - 
      169*T1^10*T2^10 - 512*T1^11*T2^10 + 368*T1^12*T2^10 - 220*T1^5*T2^11 + 
      538*T1^6*T2^11 - 512*T1^7*T2^11 + 140*T1^8*T2^11 + 140*T1^9*T2^11 - 
      512*T1^10*T2^11 + 538*T1^11*T2^11 - 220*T1^12*T2^11 + 64*T1^6*T2^12 - 
      220*T1^7*T2^12 + 368*T1^8*T2^12 - 408*T1^9*T2^12 + 368*T1^10*T2^12 - 
      220*T1^11*T2^12 + 64*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 761] -> 
  {(4 - 16*T + 31*T^2 - 37*T^3 + 31*T^4 - 16*T^5 + 4*T^6)/T^3, 
   (-2*(32 - 124*T1 + 234*T1^2 - 276*T1^3 + 234*T1^4 - 124*T1^5 + 32*T1^6 - 
      124*T2 + 360*T1*T2 - 434*T1^2*T2 + 168*T1^3*T2 + 168*T1^4*T2 - 
      434*T1^5*T2 + 360*T1^6*T2 - 124*T1^7*T2 + 234*T2^2 - 434*T1*T2^2 + 
      56*T1^2*T2^2 + 728*T1^3*T2^2 - 948*T1^4*T2^2 + 728*T1^5*T2^2 + 
      56*T1^6*T2^2 - 434*T1^7*T2^2 + 234*T1^8*T2^2 - 276*T2^3 + 168*T1*T2^3 + 
      728*T1^2*T2^3 - 1377*T1^3*T2^3 + 502*T1^4*T2^3 + 502*T1^5*T2^3 - 
      1377*T1^6*T2^3 + 728*T1^7*T2^3 + 168*T1^8*T2^3 - 276*T1^9*T2^3 + 
      234*T2^4 + 168*T1*T2^4 - 948*T1^2*T2^4 + 502*T1^3*T2^4 + 
      1481*T1^4*T2^4 - 2028*T1^5*T2^4 + 1481*T1^6*T2^4 + 502*T1^7*T2^4 - 
      948*T1^8*T2^4 + 168*T1^9*T2^4 + 234*T1^10*T2^4 - 124*T2^5 - 
      434*T1*T2^5 + 728*T1^2*T2^5 + 502*T1^3*T2^5 - 2028*T1^4*T2^5 + 
      807*T1^5*T2^5 + 807*T1^6*T2^5 - 2028*T1^7*T2^5 + 502*T1^8*T2^5 + 
      728*T1^9*T2^5 - 434*T1^10*T2^5 - 124*T1^11*T2^5 + 32*T2^6 + 
      360*T1*T2^6 + 56*T1^2*T2^6 - 1377*T1^3*T2^6 + 1481*T1^4*T2^6 + 
      807*T1^5*T2^6 - 1530*T1^6*T2^6 + 807*T1^7*T2^6 + 1481*T1^8*T2^6 - 
      1377*T1^9*T2^6 + 56*T1^10*T2^6 + 360*T1^11*T2^6 + 32*T1^12*T2^6 - 
      124*T1*T2^7 - 434*T1^2*T2^7 + 728*T1^3*T2^7 + 502*T1^4*T2^7 - 
      2028*T1^5*T2^7 + 807*T1^6*T2^7 + 807*T1^7*T2^7 - 2028*T1^8*T2^7 + 
      502*T1^9*T2^7 + 728*T1^10*T2^7 - 434*T1^11*T2^7 - 124*T1^12*T2^7 + 
      234*T1^2*T2^8 + 168*T1^3*T2^8 - 948*T1^4*T2^8 + 502*T1^5*T2^8 + 
      1481*T1^6*T2^8 - 2028*T1^7*T2^8 + 1481*T1^8*T2^8 + 502*T1^9*T2^8 - 
      948*T1^10*T2^8 + 168*T1^11*T2^8 + 234*T1^12*T2^8 - 276*T1^3*T2^9 + 
      168*T1^4*T2^9 + 728*T1^5*T2^9 - 1377*T1^6*T2^9 + 502*T1^7*T2^9 + 
      502*T1^8*T2^9 - 1377*T1^9*T2^9 + 728*T1^10*T2^9 + 168*T1^11*T2^9 - 
      276*T1^12*T2^9 + 234*T1^4*T2^10 - 434*T1^5*T2^10 + 56*T1^6*T2^10 + 
      728*T1^7*T2^10 - 948*T1^8*T2^10 + 728*T1^9*T2^10 + 56*T1^10*T2^10 - 
      434*T1^11*T2^10 + 234*T1^12*T2^10 - 124*T1^5*T2^11 + 360*T1^6*T2^11 - 
      434*T1^7*T2^11 + 168*T1^8*T2^11 + 168*T1^9*T2^11 - 434*T1^10*T2^11 + 
      360*T1^11*T2^11 - 124*T1^12*T2^11 + 32*T1^6*T2^12 - 124*T1^7*T2^12 + 
      234*T1^8*T2^12 - 276*T1^9*T2^12 + 234*T1^10*T2^12 - 124*T1^11*T2^12 + 
      32*T1^12*T2^12))/(T1^6*T2^6)}, 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), 
   -((25 - 75*T1 + 87*T1^2 - 87*T1^3 + 87*T1^4 - 87*T1^5 + 87*T1^6 - 
      75*T1^7 + 25*T1^8 - 75*T2 + 150*T1*T2 - 36*T1^2*T2 - 36*T1^7*T2 + 
      150*T1^8*T2 - 75*T1^9*T2 + 87*T2^2 - 36*T1*T2^2 - 291*T1^2*T2^2 + 
      241*T1^3*T2^2 - 203*T1^4*T2^2 + 203*T1^5*T2^2 - 203*T1^6*T2^2 + 
      241*T1^7*T2^2 - 291*T1^8*T2^2 - 36*T1^9*T2^2 + 87*T1^10*T2^2 - 
      87*T2^3 + 241*T1^2*T2^3 + 42*T1^3*T2^3 - 30*T1^4*T2^3 - 30*T1^7*T2^3 + 
      42*T1^8*T2^3 + 241*T1^9*T2^3 - 87*T1^11*T2^3 + 87*T2^4 - 
      203*T1^2*T2^4 - 30*T1^3*T2^4 - 162*T1^4*T2^4 + 150*T1^5*T2^4 - 
      126*T1^6*T2^4 + 150*T1^7*T2^4 - 162*T1^8*T2^4 - 30*T1^9*T2^4 - 
      203*T1^10*T2^4 + 87*T1^12*T2^4 - 87*T2^5 + 203*T1^2*T2^5 + 
      150*T1^4*T2^5 + 14*T1^5*T2^5 - 16*T1^6*T2^5 - 16*T1^7*T2^5 + 
      14*T1^8*T2^5 + 150*T1^9*T2^5 + 203*T1^11*T2^5 - 87*T1^13*T2^5 + 
      87*T2^6 - 203*T1^2*T2^6 - 126*T1^4*T2^6 - 16*T1^5*T2^6 - 85*T1^6*T2^6 + 
      97*T1^7*T2^6 - 85*T1^8*T2^6 - 16*T1^9*T2^6 - 126*T1^10*T2^6 - 
      203*T1^12*T2^6 + 87*T1^14*T2^6 - 75*T2^7 - 36*T1*T2^7 + 241*T1^2*T2^7 - 
      30*T1^3*T2^7 + 150*T1^4*T2^7 - 16*T1^5*T2^7 + 97*T1^6*T2^7 - 
      18*T1^7*T2^7 - 18*T1^8*T2^7 + 97*T1^9*T2^7 - 16*T1^10*T2^7 + 
      150*T1^11*T2^7 - 30*T1^12*T2^7 + 241*T1^13*T2^7 - 36*T1^14*T2^7 - 
      75*T1^15*T2^7 + 25*T2^8 + 150*T1*T2^8 - 291*T1^2*T2^8 + 42*T1^3*T2^8 - 
      162*T1^4*T2^8 + 14*T1^5*T2^8 - 85*T1^6*T2^8 - 18*T1^7*T2^8 + 
      12*T1^8*T2^8 - 18*T1^9*T2^8 - 85*T1^10*T2^8 + 14*T1^11*T2^8 - 
      162*T1^12*T2^8 + 42*T1^13*T2^8 - 291*T1^14*T2^8 + 150*T1^15*T2^8 + 
      25*T1^16*T2^8 - 75*T1*T2^9 - 36*T1^2*T2^9 + 241*T1^3*T2^9 - 
      30*T1^4*T2^9 + 150*T1^5*T2^9 - 16*T1^6*T2^9 + 97*T1^7*T2^9 - 
      18*T1^8*T2^9 - 18*T1^9*T2^9 + 97*T1^10*T2^9 - 16*T1^11*T2^9 + 
      150*T1^12*T2^9 - 30*T1^13*T2^9 + 241*T1^14*T2^9 - 36*T1^15*T2^9 - 
      75*T1^16*T2^9 + 87*T1^2*T2^10 - 203*T1^4*T2^10 - 126*T1^6*T2^10 - 
      16*T1^7*T2^10 - 85*T1^8*T2^10 + 97*T1^9*T2^10 - 85*T1^10*T2^10 - 
      16*T1^11*T2^10 - 126*T1^12*T2^10 - 203*T1^14*T2^10 + 87*T1^16*T2^10 - 
      87*T1^3*T2^11 + 203*T1^5*T2^11 + 150*T1^7*T2^11 + 14*T1^8*T2^11 - 
      16*T1^9*T2^11 - 16*T1^10*T2^11 + 14*T1^11*T2^11 + 150*T1^12*T2^11 + 
      203*T1^14*T2^11 - 87*T1^16*T2^11 + 87*T1^4*T2^12 - 203*T1^6*T2^12 - 
      30*T1^7*T2^12 - 162*T1^8*T2^12 + 150*T1^9*T2^12 - 126*T1^10*T2^12 + 
      150*T1^11*T2^12 - 162*T1^12*T2^12 - 30*T1^13*T2^12 - 203*T1^14*T2^12 + 
      87*T1^16*T2^12 - 87*T1^5*T2^13 + 241*T1^7*T2^13 + 42*T1^8*T2^13 - 
      30*T1^9*T2^13 - 30*T1^12*T2^13 + 42*T1^13*T2^13 + 241*T1^14*T2^13 - 
      87*T1^16*T2^13 + 87*T1^6*T2^14 - 36*T1^7*T2^14 - 291*T1^8*T2^14 + 
      241*T1^9*T2^14 - 203*T1^10*T2^14 + 203*T1^11*T2^14 - 203*T1^12*T2^14 + 
      241*T1^13*T2^14 - 291*T1^14*T2^14 - 36*T1^15*T2^14 + 87*T1^16*T2^14 - 
      75*T1^7*T2^15 + 150*T1^8*T2^15 - 36*T1^9*T2^15 - 36*T1^14*T2^15 + 
      150*T1^15*T2^15 - 75*T1^16*T2^15 + 25*T1^8*T2^16 - 75*T1^9*T2^16 + 
      87*T1^10*T2^16 - 87*T1^11*T2^16 + 87*T1^12*T2^16 - 87*T1^13*T2^16 + 
      87*T1^14*T2^16 - 75*T1^15*T2^16 + 25*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 763] -> 
  {-((4 - 14*T + 20*T^2 - 21*T^3 + 20*T^4 - 14*T^5 + 4*T^6)/T^3), 
   -((144 - 500*T1 + 704*T1^2 - 736*T1^3 + 704*T1^4 - 500*T1^5 + 144*T1^6 - 
      500*T2 + 1238*T1*T2 - 712*T1^2*T2 + 112*T1^3*T2 + 112*T1^4*T2 - 
      712*T1^5*T2 + 1238*T1^6*T2 - 500*T1^7*T2 + 704*T2^2 - 712*T1*T2^2 - 
      1931*T1^2*T2^2 + 2663*T1^3*T2^2 - 2285*T1^4*T2^2 + 2663*T1^5*T2^2 - 
      1931*T1^6*T2^2 - 712*T1^7*T2^2 + 704*T1^8*T2^2 - 736*T2^3 + 
      112*T1*T2^3 + 2663*T1^2*T2^3 - 1024*T1^3*T2^3 - 218*T1^4*T2^3 - 
      218*T1^5*T2^3 - 1024*T1^6*T2^3 + 2663*T1^7*T2^3 + 112*T1^8*T2^3 - 
      736*T1^9*T2^3 + 704*T2^4 + 112*T1*T2^4 - 2285*T1^2*T2^4 - 
      218*T1^3*T2^4 + 70*T1^4*T2^4 + 936*T1^5*T2^4 + 70*T1^6*T2^4 - 
      218*T1^7*T2^4 - 2285*T1^8*T2^4 + 112*T1^9*T2^4 + 704*T1^10*T2^4 - 
      500*T2^5 - 712*T1*T2^5 + 2663*T1^2*T2^5 - 218*T1^3*T2^5 + 
      936*T1^4*T2^5 - 776*T1^5*T2^5 - 776*T1^6*T2^5 + 936*T1^7*T2^5 - 
      218*T1^8*T2^5 + 2663*T1^9*T2^5 - 712*T1^10*T2^5 - 500*T1^11*T2^5 + 
      144*T2^6 + 1238*T1*T2^6 - 1931*T1^2*T2^6 - 1024*T1^3*T2^6 + 
      70*T1^4*T2^6 - 776*T1^5*T2^6 + 1596*T1^6*T2^6 - 776*T1^7*T2^6 + 
      70*T1^8*T2^6 - 1024*T1^9*T2^6 - 1931*T1^10*T2^6 + 1238*T1^11*T2^6 + 
      144*T1^12*T2^6 - 500*T1*T2^7 - 712*T1^2*T2^7 + 2663*T1^3*T2^7 - 
      218*T1^4*T2^7 + 936*T1^5*T2^7 - 776*T1^6*T2^7 - 776*T1^7*T2^7 + 
      936*T1^8*T2^7 - 218*T1^9*T2^7 + 2663*T1^10*T2^7 - 712*T1^11*T2^7 - 
      500*T1^12*T2^7 + 704*T1^2*T2^8 + 112*T1^3*T2^8 - 2285*T1^4*T2^8 - 
      218*T1^5*T2^8 + 70*T1^6*T2^8 + 936*T1^7*T2^8 + 70*T1^8*T2^8 - 
      218*T1^9*T2^8 - 2285*T1^10*T2^8 + 112*T1^11*T2^8 + 704*T1^12*T2^8 - 
      736*T1^3*T2^9 + 112*T1^4*T2^9 + 2663*T1^5*T2^9 - 1024*T1^6*T2^9 - 
      218*T1^7*T2^9 - 218*T1^8*T2^9 - 1024*T1^9*T2^9 + 2663*T1^10*T2^9 + 
      112*T1^11*T2^9 - 736*T1^12*T2^9 + 704*T1^4*T2^10 - 712*T1^5*T2^10 - 
      1931*T1^6*T2^10 + 2663*T1^7*T2^10 - 2285*T1^8*T2^10 + 2663*T1^9*T2^10 - 
      1931*T1^10*T2^10 - 712*T1^11*T2^10 + 704*T1^12*T2^10 - 500*T1^5*T2^11 + 
      1238*T1^6*T2^11 - 712*T1^7*T2^11 + 112*T1^8*T2^11 + 112*T1^9*T2^11 - 
      712*T1^10*T2^11 + 1238*T1^11*T2^11 - 500*T1^12*T2^11 + 144*T1^6*T2^12 - 
      500*T1^7*T2^12 + 704*T1^8*T2^12 - 736*T1^9*T2^12 + 704*T1^10*T2^12 - 
      500*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 764] -> 
  {-(((2 - 3*T + 2*T^2)*(2 - 5*T + 5*T^2 - 5*T^3 + 2*T^4))/T^3), 
   (-2*(72 - 284*T1 + 506*T1^2 - 608*T1^3 + 506*T1^4 - 284*T1^5 + 72*T1^6 - 
      284*T2 + 840*T1*T2 - 886*T1^2*T2 + 408*T1^3*T2 + 408*T1^4*T2 - 
      886*T1^5*T2 + 840*T1^6*T2 - 284*T1^7*T2 + 506*T2^2 - 886*T1*T2^2 - 
      382*T1^2*T2^2 + 1776*T1^3*T2^2 - 2592*T1^4*T2^2 + 1776*T1^5*T2^2 - 
      382*T1^6*T2^2 - 886*T1^7*T2^2 + 506*T1^8*T2^2 - 608*T2^3 + 
      408*T1*T2^3 + 1776*T1^2*T2^3 - 2101*T1^3*T2^3 + 1182*T1^4*T2^3 + 
      1182*T1^5*T2^3 - 2101*T1^6*T2^3 + 1776*T1^7*T2^3 + 408*T1^8*T2^3 - 
      608*T1^9*T2^3 + 506*T2^4 + 408*T1*T2^4 - 2592*T1^2*T2^4 + 
      1182*T1^3*T2^4 + 141*T1^4*T2^4 - 1547*T1^5*T2^4 + 141*T1^6*T2^4 + 
      1182*T1^7*T2^4 - 2592*T1^8*T2^4 + 408*T1^9*T2^4 + 506*T1^10*T2^4 - 
      284*T2^5 - 886*T1*T2^5 + 1776*T1^2*T2^5 + 1182*T1^3*T2^5 - 
      1547*T1^4*T2^5 + 1285*T1^5*T2^5 + 1285*T1^6*T2^5 - 1547*T1^7*T2^5 + 
      1182*T1^8*T2^5 + 1776*T1^9*T2^5 - 886*T1^10*T2^5 - 284*T1^11*T2^5 + 
      72*T2^6 + 840*T1*T2^6 - 382*T1^2*T2^6 - 2101*T1^3*T2^6 + 
      141*T1^4*T2^6 + 1285*T1^5*T2^6 - 3072*T1^6*T2^6 + 1285*T1^7*T2^6 + 
      141*T1^8*T2^6 - 2101*T1^9*T2^6 - 382*T1^10*T2^6 + 840*T1^11*T2^6 + 
      72*T1^12*T2^6 - 284*T1*T2^7 - 886*T1^2*T2^7 + 1776*T1^3*T2^7 + 
      1182*T1^4*T2^7 - 1547*T1^5*T2^7 + 1285*T1^6*T2^7 + 1285*T1^7*T2^7 - 
      1547*T1^8*T2^7 + 1182*T1^9*T2^7 + 1776*T1^10*T2^7 - 886*T1^11*T2^7 - 
      284*T1^12*T2^7 + 506*T1^2*T2^8 + 408*T1^3*T2^8 - 2592*T1^4*T2^8 + 
      1182*T1^5*T2^8 + 141*T1^6*T2^8 - 1547*T1^7*T2^8 + 141*T1^8*T2^8 + 
      1182*T1^9*T2^8 - 2592*T1^10*T2^8 + 408*T1^11*T2^8 + 506*T1^12*T2^8 - 
      608*T1^3*T2^9 + 408*T1^4*T2^9 + 1776*T1^5*T2^9 - 2101*T1^6*T2^9 + 
      1182*T1^7*T2^9 + 1182*T1^8*T2^9 - 2101*T1^9*T2^9 + 1776*T1^10*T2^9 + 
      408*T1^11*T2^9 - 608*T1^12*T2^9 + 506*T1^4*T2^10 - 886*T1^5*T2^10 - 
      382*T1^6*T2^10 + 1776*T1^7*T2^10 - 2592*T1^8*T2^10 + 1776*T1^9*T2^10 - 
      382*T1^10*T2^10 - 886*T1^11*T2^10 + 506*T1^12*T2^10 - 284*T1^5*T2^11 + 
      840*T1^6*T2^11 - 886*T1^7*T2^11 + 408*T1^8*T2^11 + 408*T1^9*T2^11 - 
      886*T1^10*T2^11 + 840*T1^11*T2^11 - 284*T1^12*T2^11 + 72*T1^6*T2^12 - 
      284*T1^7*T2^12 + 506*T1^8*T2^12 - 608*T1^9*T2^12 + 506*T1^10*T2^12 - 
      284*T1^11*T2^12 + 72*T1^12*T2^12))/(T1^6*T2^6)}, 
 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, 
   (5 - 21*T1 + 42*T1^2 - 53*T1^3 + 42*T1^4 - 21*T1^5 + 5*T1^6 - 21*T2 + 
     68*T1*T2 - 94*T1^2*T2 + 50*T1^3*T2 + 50*T1^4*T2 - 94*T1^5*T2 + 
     68*T1^6*T2 - 21*T1^7*T2 + 42*T2^2 - 94*T1*T2^2 + 20*T1^2*T2^2 + 
     233*T1^3*T2^2 - 406*T1^4*T2^2 + 233*T1^5*T2^2 + 20*T1^6*T2^2 - 
     94*T1^7*T2^2 + 42*T1^8*T2^2 - 53*T2^3 + 50*T1*T2^3 + 233*T1^2*T2^3 - 
     650*T1^3*T2^3 + 390*T1^4*T2^3 + 390*T1^5*T2^3 - 650*T1^6*T2^3 + 
     233*T1^7*T2^3 + 50*T1^8*T2^3 - 53*T1^9*T2^3 + 42*T2^4 + 50*T1*T2^4 - 
     406*T1^2*T2^4 + 390*T1^3*T2^4 + 926*T1^4*T2^4 - 1756*T1^5*T2^4 + 
     926*T1^6*T2^4 + 390*T1^7*T2^4 - 406*T1^8*T2^4 + 50*T1^9*T2^4 + 
     42*T1^10*T2^4 - 21*T2^5 - 94*T1*T2^5 + 233*T1^2*T2^5 + 390*T1^3*T2^5 - 
     1756*T1^4*T2^5 + 998*T1^5*T2^5 + 998*T1^6*T2^5 - 1756*T1^7*T2^5 + 
     390*T1^8*T2^5 + 233*T1^9*T2^5 - 94*T1^10*T2^5 - 21*T1^11*T2^5 + 5*T2^6 + 
     68*T1*T2^6 + 20*T1^2*T2^6 - 650*T1^3*T2^6 + 926*T1^4*T2^6 + 
     998*T1^5*T2^6 - 2112*T1^6*T2^6 + 998*T1^7*T2^6 + 926*T1^8*T2^6 - 
     650*T1^9*T2^6 + 20*T1^10*T2^6 + 68*T1^11*T2^6 + 5*T1^12*T2^6 - 
     21*T1*T2^7 - 94*T1^2*T2^7 + 233*T1^3*T2^7 + 390*T1^4*T2^7 - 
     1756*T1^5*T2^7 + 998*T1^6*T2^7 + 998*T1^7*T2^7 - 1756*T1^8*T2^7 + 
     390*T1^9*T2^7 + 233*T1^10*T2^7 - 94*T1^11*T2^7 - 21*T1^12*T2^7 + 
     42*T1^2*T2^8 + 50*T1^3*T2^8 - 406*T1^4*T2^8 + 390*T1^5*T2^8 + 
     926*T1^6*T2^8 - 1756*T1^7*T2^8 + 926*T1^8*T2^8 + 390*T1^9*T2^8 - 
     406*T1^10*T2^8 + 50*T1^11*T2^8 + 42*T1^12*T2^8 - 53*T1^3*T2^9 + 
     50*T1^4*T2^9 + 233*T1^5*T2^9 - 650*T1^6*T2^9 + 390*T1^7*T2^9 + 
     390*T1^8*T2^9 - 650*T1^9*T2^9 + 233*T1^10*T2^9 + 50*T1^11*T2^9 - 
     53*T1^12*T2^9 + 42*T1^4*T2^10 - 94*T1^5*T2^10 + 20*T1^6*T2^10 + 
     233*T1^7*T2^10 - 406*T1^8*T2^10 + 233*T1^9*T2^10 + 20*T1^10*T2^10 - 
     94*T1^11*T2^10 + 42*T1^12*T2^10 - 21*T1^5*T2^11 + 68*T1^6*T2^11 - 
     94*T1^7*T2^11 + 50*T1^8*T2^11 + 50*T1^9*T2^11 - 94*T1^10*T2^11 + 
     68*T1^11*T2^11 - 21*T1^12*T2^11 + 5*T1^6*T2^12 - 21*T1^7*T2^12 + 
     42*T1^8*T2^12 - 53*T1^9*T2^12 + 42*T1^10*T2^12 - 21*T1^11*T2^12 + 
     5*T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   (T1 - 2*T1^2 + T1^3 + T1^4 - 2*T1^5 + T1^6 + T2 + T1*T2 - 28*T1^2*T2 + 
     73*T1^3*T2 - 99*T1^4*T2 + 73*T1^5*T2 - 28*T1^6*T2 + T1^7*T2 + T1^8*T2 - 
     2*T2^2 - 28*T1*T2^2 + 146*T1^2*T2^2 - 227*T1^3*T2^2 + 129*T1^4*T2^2 + 
     129*T1^5*T2^2 - 227*T1^6*T2^2 + 146*T1^7*T2^2 - 28*T1^8*T2^2 - 
     2*T1^9*T2^2 + T2^3 + 73*T1*T2^3 - 227*T1^2*T2^3 + T1^3*T2^3 + 
     693*T1^4*T2^3 - 1189*T1^5*T2^3 + 693*T1^6*T2^3 + T1^7*T2^3 - 
     227*T1^8*T2^3 + 73*T1^9*T2^3 + T1^10*T2^3 + T2^4 - 99*T1*T2^4 + 
     129*T1^2*T2^4 + 693*T1^3*T2^4 - 1686*T1^4*T2^4 + 1043*T1^5*T2^4 + 
     1043*T1^6*T2^4 - 1686*T1^7*T2^4 + 693*T1^8*T2^4 + 129*T1^9*T2^4 - 
     99*T1^10*T2^4 + T1^11*T2^4 - 2*T2^5 + 73*T1*T2^5 + 129*T1^2*T2^5 - 
     1189*T1^3*T2^5 + 1043*T1^4*T2^5 + 1884*T1^5*T2^5 - 3978*T1^6*T2^5 + 
     1884*T1^7*T2^5 + 1043*T1^8*T2^5 - 1189*T1^9*T2^5 + 129*T1^10*T2^5 + 
     73*T1^11*T2^5 - 2*T1^12*T2^5 + T2^6 - 28*T1*T2^6 - 227*T1^2*T2^6 + 
     693*T1^3*T2^6 + 1043*T1^4*T2^6 - 3978*T1^5*T2^6 + 2468*T1^6*T2^6 + 
     2468*T1^7*T2^6 - 3978*T1^8*T2^6 + 1043*T1^9*T2^6 + 693*T1^10*T2^6 - 
     227*T1^11*T2^6 - 28*T1^12*T2^6 + T1^13*T2^6 + T1*T2^7 + 146*T1^2*T2^7 + 
     T1^3*T2^7 - 1686*T1^4*T2^7 + 1884*T1^5*T2^7 + 2468*T1^6*T2^7 - 
     5484*T1^7*T2^7 + 2468*T1^8*T2^7 + 1884*T1^9*T2^7 - 1686*T1^10*T2^7 + 
     T1^11*T2^7 + 146*T1^12*T2^7 + T1^13*T2^7 + T1*T2^8 - 28*T1^2*T2^8 - 
     227*T1^3*T2^8 + 693*T1^4*T2^8 + 1043*T1^5*T2^8 - 3978*T1^6*T2^8 + 
     2468*T1^7*T2^8 + 2468*T1^8*T2^8 - 3978*T1^9*T2^8 + 1043*T1^10*T2^8 + 
     693*T1^11*T2^8 - 227*T1^12*T2^8 - 28*T1^13*T2^8 + T1^14*T2^8 - 
     2*T1^2*T2^9 + 73*T1^3*T2^9 + 129*T1^4*T2^9 - 1189*T1^5*T2^9 + 
     1043*T1^6*T2^9 + 1884*T1^7*T2^9 - 3978*T1^8*T2^9 + 1884*T1^9*T2^9 + 
     1043*T1^10*T2^9 - 1189*T1^11*T2^9 + 129*T1^12*T2^9 + 73*T1^13*T2^9 - 
     2*T1^14*T2^9 + T1^3*T2^10 - 99*T1^4*T2^10 + 129*T1^5*T2^10 + 
     693*T1^6*T2^10 - 1686*T1^7*T2^10 + 1043*T1^8*T2^10 + 1043*T1^9*T2^10 - 
     1686*T1^10*T2^10 + 693*T1^11*T2^10 + 129*T1^12*T2^10 - 99*T1^13*T2^10 + 
     T1^14*T2^10 + T1^4*T2^11 + 73*T1^5*T2^11 - 227*T1^6*T2^11 + T1^7*T2^11 + 
     693*T1^8*T2^11 - 1189*T1^9*T2^11 + 693*T1^10*T2^11 + T1^11*T2^11 - 
     227*T1^12*T2^11 + 73*T1^13*T2^11 + T1^14*T2^11 - 2*T1^5*T2^12 - 
     28*T1^6*T2^12 + 146*T1^7*T2^12 - 227*T1^8*T2^12 + 129*T1^9*T2^12 + 
     129*T1^10*T2^12 - 227*T1^11*T2^12 + 146*T1^12*T2^12 - 28*T1^13*T2^12 - 
     2*T1^14*T2^12 + T1^6*T2^13 + T1^7*T2^13 - 28*T1^8*T2^13 + 
     73*T1^9*T2^13 - 99*T1^10*T2^13 + 73*T1^11*T2^13 - 28*T1^12*T2^13 + 
     T1^13*T2^13 + T1^14*T2^13 + T1^8*T2^14 - 2*T1^9*T2^14 + T1^10*T2^14 + 
     T1^11*T2^14 - 2*T1^12*T2^14 + T1^13*T2^14)/(T1^7*T2^7)}, 
 Knot[12, Alternating, 767] -> {-((8 - 31*T + 45*T^2 - 31*T^3 + 8*T^4)/T^2), 
   (-2*(352 - 1344*T1 + 1928*T1^2 - 1344*T1^3 + 352*T1^4 - 1344*T2 + 
      3795*T1*T2 - 2239*T1^2*T2 - 2239*T1^3*T2 + 3795*T1^4*T2 - 
      1344*T1^5*T2 + 1928*T2^2 - 2239*T1*T2^2 - 7125*T1^2*T2^2 + 
      13491*T1^3*T2^2 - 7125*T1^4*T2^2 - 2239*T1^5*T2^2 + 1928*T1^6*T2^2 - 
      1344*T2^3 - 2239*T1*T2^3 + 13491*T1^2*T2^3 - 8603*T1^3*T2^3 - 
      8603*T1^4*T2^3 + 13491*T1^5*T2^3 - 2239*T1^6*T2^3 - 1344*T1^7*T2^3 + 
      352*T2^4 + 3795*T1*T2^4 - 7125*T1^2*T2^4 - 8603*T1^3*T2^4 + 
      19968*T1^4*T2^4 - 8603*T1^5*T2^4 - 7125*T1^6*T2^4 + 3795*T1^7*T2^4 + 
      352*T1^8*T2^4 - 1344*T1*T2^5 - 2239*T1^2*T2^5 + 13491*T1^3*T2^5 - 
      8603*T1^4*T2^5 - 8603*T1^5*T2^5 + 13491*T1^6*T2^5 - 2239*T1^7*T2^5 - 
      1344*T1^8*T2^5 + 1928*T1^2*T2^6 - 2239*T1^3*T2^6 - 7125*T1^4*T2^6 + 
      13491*T1^5*T2^6 - 7125*T1^6*T2^6 - 2239*T1^7*T2^6 + 1928*T1^8*T2^6 - 
      1344*T1^3*T2^7 + 3795*T1^4*T2^7 - 2239*T1^5*T2^7 - 2239*T1^6*T2^7 + 
      3795*T1^7*T2^7 - 1344*T1^8*T2^7 + 352*T1^4*T2^8 - 1344*T1^5*T2^8 + 
      1928*T1^6*T2^8 - 1344*T1^7*T2^8 + 352*T1^8*T2^8))/(T1^4*T2^4)}, 
 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), (1 - 8*T1 + 23*T1^2 - 38*T1^3 + 43*T1^4 - 38*T1^5 + 23*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 119*T1^2*T2 + 118*T1^3*T2 - 
     39*T1^4*T2 - 39*T1^5*T2 + 118*T1^6*T2 - 119*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 23*T2^2 - 119*T1*T2^2 + 35*T1^2*T2^2 + 413*T1^3*T2^2 - 
     896*T1^4*T2^2 + 981*T1^5*T2^2 - 896*T1^6*T2^2 + 413*T1^7*T2^2 + 
     35*T1^8*T2^2 - 119*T1^9*T2^2 + 23*T1^10*T2^2 - 38*T2^3 + 118*T1*T2^3 + 
     413*T1^2*T2^3 - 1334*T1^3*T2^3 + 1418*T1^4*T2^3 - 371*T1^5*T2^3 - 
     371*T1^6*T2^3 + 1418*T1^7*T2^3 - 1334*T1^8*T2^3 + 413*T1^9*T2^3 + 
     118*T1^10*T2^3 - 38*T1^11*T2^3 + 43*T2^4 - 39*T1*T2^4 - 896*T1^2*T2^4 + 
     1418*T1^3*T2^4 + 107*T1^4*T2^4 - 2332*T1^5*T2^4 + 2351*T1^6*T2^4 - 
     2332*T1^7*T2^4 + 107*T1^8*T2^4 + 1418*T1^9*T2^4 - 896*T1^10*T2^4 - 
     39*T1^11*T2^4 + 43*T1^12*T2^4 - 38*T2^5 - 39*T1*T2^5 + 981*T1^2*T2^5 - 
     371*T1^3*T2^5 - 2332*T1^4*T2^5 + 3586*T1^5*T2^5 - 839*T1^6*T2^5 - 
     839*T1^7*T2^5 + 3586*T1^8*T2^5 - 2332*T1^9*T2^5 - 371*T1^10*T2^5 + 
     981*T1^11*T2^5 - 39*T1^12*T2^5 - 38*T1^13*T2^5 + 23*T2^6 + 118*T1*T2^6 - 
     896*T1^2*T2^6 - 371*T1^3*T2^6 + 2351*T1^4*T2^6 - 839*T1^5*T2^6 - 
     4013*T1^6*T2^6 + 4621*T1^7*T2^6 - 4013*T1^8*T2^6 - 839*T1^9*T2^6 + 
     2351*T1^10*T2^6 - 371*T1^11*T2^6 - 896*T1^12*T2^6 + 118*T1^13*T2^6 + 
     23*T1^14*T2^6 - 8*T2^7 - 119*T1*T2^7 + 413*T1^2*T2^7 + 1418*T1^3*T2^7 - 
     2332*T1^4*T2^7 - 839*T1^5*T2^7 + 4621*T1^6*T2^7 - 1632*T1^7*T2^7 - 
     1632*T1^8*T2^7 + 4621*T1^9*T2^7 - 839*T1^10*T2^7 - 2332*T1^11*T2^7 + 
     1418*T1^12*T2^7 + 413*T1^13*T2^7 - 119*T1^14*T2^7 - 8*T1^15*T2^7 + 
     T2^8 + 56*T1*T2^8 + 35*T1^2*T2^8 - 1334*T1^3*T2^8 + 107*T1^4*T2^8 + 
     3586*T1^5*T2^8 - 4013*T1^6*T2^8 - 1632*T1^7*T2^8 + 3228*T1^8*T2^8 - 
     1632*T1^9*T2^8 - 4013*T1^10*T2^8 + 3586*T1^11*T2^8 + 107*T1^12*T2^8 - 
     1334*T1^13*T2^8 + 35*T1^14*T2^8 + 56*T1^15*T2^8 + T1^16*T2^8 - 
     8*T1*T2^9 - 119*T1^2*T2^9 + 413*T1^3*T2^9 + 1418*T1^4*T2^9 - 
     2332*T1^5*T2^9 - 839*T1^6*T2^9 + 4621*T1^7*T2^9 - 1632*T1^8*T2^9 - 
     1632*T1^9*T2^9 + 4621*T1^10*T2^9 - 839*T1^11*T2^9 - 2332*T1^12*T2^9 + 
     1418*T1^13*T2^9 + 413*T1^14*T2^9 - 119*T1^15*T2^9 - 8*T1^16*T2^9 + 
     23*T1^2*T2^10 + 118*T1^3*T2^10 - 896*T1^4*T2^10 - 371*T1^5*T2^10 + 
     2351*T1^6*T2^10 - 839*T1^7*T2^10 - 4013*T1^8*T2^10 + 4621*T1^9*T2^10 - 
     4013*T1^10*T2^10 - 839*T1^11*T2^10 + 2351*T1^12*T2^10 - 
     371*T1^13*T2^10 - 896*T1^14*T2^10 + 118*T1^15*T2^10 + 23*T1^16*T2^10 - 
     38*T1^3*T2^11 - 39*T1^4*T2^11 + 981*T1^5*T2^11 - 371*T1^6*T2^11 - 
     2332*T1^7*T2^11 + 3586*T1^8*T2^11 - 839*T1^9*T2^11 - 839*T1^10*T2^11 + 
     3586*T1^11*T2^11 - 2332*T1^12*T2^11 - 371*T1^13*T2^11 + 
     981*T1^14*T2^11 - 39*T1^15*T2^11 - 38*T1^16*T2^11 + 43*T1^4*T2^12 - 
     39*T1^5*T2^12 - 896*T1^6*T2^12 + 1418*T1^7*T2^12 + 107*T1^8*T2^12 - 
     2332*T1^9*T2^12 + 2351*T1^10*T2^12 - 2332*T1^11*T2^12 + 
     107*T1^12*T2^12 + 1418*T1^13*T2^12 - 896*T1^14*T2^12 - 39*T1^15*T2^12 + 
     43*T1^16*T2^12 - 38*T1^5*T2^13 + 118*T1^6*T2^13 + 413*T1^7*T2^13 - 
     1334*T1^8*T2^13 + 1418*T1^9*T2^13 - 371*T1^10*T2^13 - 371*T1^11*T2^13 + 
     1418*T1^12*T2^13 - 1334*T1^13*T2^13 + 413*T1^14*T2^13 + 
     118*T1^15*T2^13 - 38*T1^16*T2^13 + 23*T1^6*T2^14 - 119*T1^7*T2^14 + 
     35*T1^8*T2^14 + 413*T1^9*T2^14 - 896*T1^10*T2^14 + 981*T1^11*T2^14 - 
     896*T1^12*T2^14 + 413*T1^13*T2^14 + 35*T1^14*T2^14 - 119*T1^15*T2^14 + 
     23*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 119*T1^9*T2^15 + 
     118*T1^10*T2^15 - 39*T1^11*T2^15 - 39*T1^12*T2^15 + 118*T1^13*T2^15 - 
     119*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
     8*T1^9*T2^16 + 23*T1^10*T2^16 - 38*T1^11*T2^16 + 43*T1^12*T2^16 - 
     38*T1^13*T2^16 + 23*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 769] -> 
  {-((2 - 16*T + 45*T^2 - 63*T^3 + 45*T^4 - 16*T^5 + 2*T^6)/T^3), 
   (1 - 8*T1 + 22*T1^2 - 31*T1^3 + 22*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
     56*T1*T2 - 108*T1^2*T2 + 68*T1^3*T2 + 68*T1^4*T2 - 108*T1^5*T2 + 
     56*T1^6*T2 - 8*T1^7*T2 + 22*T2^2 - 108*T1*T2^2 - 48*T1^2*T2^2 + 
     604*T1^3*T2^2 - 1050*T1^4*T2^2 + 604*T1^5*T2^2 - 48*T1^6*T2^2 - 
     108*T1^7*T2^2 + 22*T1^8*T2^2 - 31*T2^3 + 68*T1*T2^3 + 604*T1^2*T2^3 - 
     1494*T1^3*T2^3 + 1078*T1^4*T2^3 + 1078*T1^5*T2^3 - 1494*T1^6*T2^3 + 
     604*T1^7*T2^3 + 68*T1^8*T2^3 - 31*T1^9*T2^3 + 22*T2^4 + 68*T1*T2^4 - 
     1050*T1^2*T2^4 + 1078*T1^3*T2^4 + 1138*T1^4*T2^4 - 3722*T1^5*T2^4 + 
     1138*T1^6*T2^4 + 1078*T1^7*T2^4 - 1050*T1^8*T2^4 + 68*T1^9*T2^4 + 
     22*T1^10*T2^4 - 8*T2^5 - 108*T1*T2^5 + 604*T1^2*T2^5 + 1078*T1^3*T2^5 - 
     3722*T1^4*T2^5 + 3246*T1^5*T2^5 + 3246*T1^6*T2^5 - 3722*T1^7*T2^5 + 
     1078*T1^8*T2^5 + 604*T1^9*T2^5 - 108*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
     56*T1*T2^6 - 48*T1^2*T2^6 - 1494*T1^3*T2^6 + 1138*T1^4*T2^6 + 
     3246*T1^5*T2^6 - 8448*T1^6*T2^6 + 3246*T1^7*T2^6 + 1138*T1^8*T2^6 - 
     1494*T1^9*T2^6 - 48*T1^10*T2^6 + 56*T1^11*T2^6 + T1^12*T2^6 - 
     8*T1*T2^7 - 108*T1^2*T2^7 + 604*T1^3*T2^7 + 1078*T1^4*T2^7 - 
     3722*T1^5*T2^7 + 3246*T1^6*T2^7 + 3246*T1^7*T2^7 - 3722*T1^8*T2^7 + 
     1078*T1^9*T2^7 + 604*T1^10*T2^7 - 108*T1^11*T2^7 - 8*T1^12*T2^7 + 
     22*T1^2*T2^8 + 68*T1^3*T2^8 - 1050*T1^4*T2^8 + 1078*T1^5*T2^8 + 
     1138*T1^6*T2^8 - 3722*T1^7*T2^8 + 1138*T1^8*T2^8 + 1078*T1^9*T2^8 - 
     1050*T1^10*T2^8 + 68*T1^11*T2^8 + 22*T1^12*T2^8 - 31*T1^3*T2^9 + 
     68*T1^4*T2^9 + 604*T1^5*T2^9 - 1494*T1^6*T2^9 + 1078*T1^7*T2^9 + 
     1078*T1^8*T2^9 - 1494*T1^9*T2^9 + 604*T1^10*T2^9 + 68*T1^11*T2^9 - 
     31*T1^12*T2^9 + 22*T1^4*T2^10 - 108*T1^5*T2^10 - 48*T1^6*T2^10 + 
     604*T1^7*T2^10 - 1050*T1^8*T2^10 + 604*T1^9*T2^10 - 48*T1^10*T2^10 - 
     108*T1^11*T2^10 + 22*T1^12*T2^10 - 8*T1^5*T2^11 + 56*T1^6*T2^11 - 
     108*T1^7*T2^11 + 68*T1^8*T2^11 + 68*T1^9*T2^11 - 108*T1^10*T2^11 + 
     56*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
     22*T1^8*T2^12 - 31*T1^9*T2^12 + 22*T1^10*T2^12 - 8*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 770] -> 
  {(2 - 17*T + 48*T^2 - 65*T^3 + 48*T^4 - 17*T^5 + 2*T^6)/T^3, 
   (9 - 76*T1 + 212*T1^2 - 285*T1^3 + 212*T1^4 - 76*T1^5 + 9*T1^6 - 76*T2 + 
     566*T1*T2 - 1146*T1^2*T2 + 614*T1^3*T2 + 614*T1^4*T2 - 1146*T1^5*T2 + 
     566*T1^6*T2 - 76*T1^7*T2 + 212*T2^2 - 1146*T1*T2^2 - 205*T1^2*T2^2 + 
     6497*T1^3*T2^2 - 10143*T1^4*T2^2 + 6497*T1^5*T2^2 - 205*T1^6*T2^2 - 
     1146*T1^7*T2^2 + 212*T1^8*T2^2 - 285*T2^3 + 614*T1*T2^3 + 
     6497*T1^2*T2^3 - 17854*T1^3*T2^3 + 9958*T1^4*T2^3 + 9958*T1^5*T2^3 - 
     17854*T1^6*T2^3 + 6497*T1^7*T2^3 + 614*T1^8*T2^3 - 285*T1^9*T2^3 + 
     212*T2^4 + 614*T1*T2^4 - 10143*T1^2*T2^4 + 9958*T1^3*T2^4 + 
     25317*T1^4*T2^4 - 46883*T1^5*T2^4 + 25317*T1^6*T2^4 + 9958*T1^7*T2^4 - 
     10143*T1^8*T2^4 + 614*T1^9*T2^4 + 212*T1^10*T2^4 - 76*T2^5 - 
     1146*T1*T2^5 + 6497*T1^2*T2^5 + 9958*T1^3*T2^5 - 46883*T1^4*T2^5 + 
     27588*T1^5*T2^5 + 27588*T1^6*T2^5 - 46883*T1^7*T2^5 + 9958*T1^8*T2^5 + 
     6497*T1^9*T2^5 - 1146*T1^10*T2^5 - 76*T1^11*T2^5 + 9*T2^6 + 
     566*T1*T2^6 - 205*T1^2*T2^6 - 17854*T1^3*T2^6 + 25317*T1^4*T2^6 + 
     27588*T1^5*T2^6 - 61368*T1^6*T2^6 + 27588*T1^7*T2^6 + 25317*T1^8*T2^6 - 
     17854*T1^9*T2^6 - 205*T1^10*T2^6 + 566*T1^11*T2^6 + 9*T1^12*T2^6 - 
     76*T1*T2^7 - 1146*T1^2*T2^7 + 6497*T1^3*T2^7 + 9958*T1^4*T2^7 - 
     46883*T1^5*T2^7 + 27588*T1^6*T2^7 + 27588*T1^7*T2^7 - 46883*T1^8*T2^7 + 
     9958*T1^9*T2^7 + 6497*T1^10*T2^7 - 1146*T1^11*T2^7 - 76*T1^12*T2^7 + 
     212*T1^2*T2^8 + 614*T1^3*T2^8 - 10143*T1^4*T2^8 + 9958*T1^5*T2^8 + 
     25317*T1^6*T2^8 - 46883*T1^7*T2^8 + 25317*T1^8*T2^8 + 9958*T1^9*T2^8 - 
     10143*T1^10*T2^8 + 614*T1^11*T2^8 + 212*T1^12*T2^8 - 285*T1^3*T2^9 + 
     614*T1^4*T2^9 + 6497*T1^5*T2^9 - 17854*T1^6*T2^9 + 9958*T1^7*T2^9 + 
     9958*T1^8*T2^9 - 17854*T1^9*T2^9 + 6497*T1^10*T2^9 + 614*T1^11*T2^9 - 
     285*T1^12*T2^9 + 212*T1^4*T2^10 - 1146*T1^5*T2^10 - 205*T1^6*T2^10 + 
     6497*T1^7*T2^10 - 10143*T1^8*T2^10 + 6497*T1^9*T2^10 - 205*T1^10*T2^10 - 
     1146*T1^11*T2^10 + 212*T1^12*T2^10 - 76*T1^5*T2^11 + 566*T1^6*T2^11 - 
     1146*T1^7*T2^11 + 614*T1^8*T2^11 + 614*T1^9*T2^11 - 1146*T1^10*T2^11 + 
     566*T1^11*T2^11 - 76*T1^12*T2^11 + 9*T1^6*T2^12 - 76*T1^7*T2^12 + 
     212*T1^8*T2^12 - 285*T1^9*T2^12 + 212*T1^10*T2^12 - 76*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 771] -> 
  {((1 - T + T^2)*(5 - 18*T + 27*T^2 - 18*T^3 + 5*T^4))/T^3, 
   -((145 - 655*T1 + 1409*T1^2 - 1761*T1^3 + 1409*T1^4 - 655*T1^5 + 
      145*T1^6 - 655*T2 + 2322*T1*T2 - 3450*T1^2*T2 + 1620*T1^3*T2 + 
      1620*T1^4*T2 - 3450*T1^5*T2 + 2322*T1^6*T2 - 655*T1^7*T2 + 1409*T2^2 - 
      3450*T1*T2^2 + 1764*T1^2*T2^2 + 5499*T1^3*T2^2 - 9018*T1^4*T2^2 + 
      5499*T1^5*T2^2 + 1764*T1^6*T2^2 - 3450*T1^7*T2^2 + 1409*T1^8*T2^2 - 
      1761*T2^3 + 1620*T1*T2^3 + 5499*T1^2*T2^3 - 14322*T1^3*T2^3 + 
      6973*T1^4*T2^3 + 6973*T1^5*T2^3 - 14322*T1^6*T2^3 + 5499*T1^7*T2^3 + 
      1620*T1^8*T2^3 - 1761*T1^9*T2^3 + 1409*T2^4 + 1620*T1*T2^4 - 
      9018*T1^2*T2^4 + 6973*T1^3*T2^4 + 16736*T1^4*T2^4 - 27576*T1^5*T2^4 + 
      16736*T1^6*T2^4 + 6973*T1^7*T2^4 - 9018*T1^8*T2^4 + 1620*T1^9*T2^4 + 
      1409*T1^10*T2^4 - 655*T2^5 - 3450*T1*T2^5 + 5499*T1^2*T2^5 + 
      6973*T1^3*T2^5 - 27576*T1^4*T2^5 + 13406*T1^5*T2^5 + 13406*T1^6*T2^5 - 
      27576*T1^7*T2^5 + 6973*T1^8*T2^5 + 5499*T1^9*T2^5 - 3450*T1^10*T2^5 - 
      655*T1^11*T2^5 + 145*T2^6 + 2322*T1*T2^6 + 1764*T1^2*T2^6 - 
      14322*T1^3*T2^6 + 16736*T1^4*T2^6 + 13406*T1^5*T2^6 - 26928*T1^6*T2^6 + 
      13406*T1^7*T2^6 + 16736*T1^8*T2^6 - 14322*T1^9*T2^6 + 1764*T1^10*T2^6 + 
      2322*T1^11*T2^6 + 145*T1^12*T2^6 - 655*T1*T2^7 - 3450*T1^2*T2^7 + 
      5499*T1^3*T2^7 + 6973*T1^4*T2^7 - 27576*T1^5*T2^7 + 13406*T1^6*T2^7 + 
      13406*T1^7*T2^7 - 27576*T1^8*T2^7 + 6973*T1^9*T2^7 + 5499*T1^10*T2^7 - 
      3450*T1^11*T2^7 - 655*T1^12*T2^7 + 1409*T1^2*T2^8 + 1620*T1^3*T2^8 - 
      9018*T1^4*T2^8 + 6973*T1^5*T2^8 + 16736*T1^6*T2^8 - 27576*T1^7*T2^8 + 
      16736*T1^8*T2^8 + 6973*T1^9*T2^8 - 9018*T1^10*T2^8 + 1620*T1^11*T2^8 + 
      1409*T1^12*T2^8 - 1761*T1^3*T2^9 + 1620*T1^4*T2^9 + 5499*T1^5*T2^9 - 
      14322*T1^6*T2^9 + 6973*T1^7*T2^9 + 6973*T1^8*T2^9 - 14322*T1^9*T2^9 + 
      5499*T1^10*T2^9 + 1620*T1^11*T2^9 - 1761*T1^12*T2^9 + 1409*T1^4*T2^10 - 
      3450*T1^5*T2^10 + 1764*T1^6*T2^10 + 5499*T1^7*T2^10 - 9018*T1^8*T2^10 + 
      5499*T1^9*T2^10 + 1764*T1^10*T2^10 - 3450*T1^11*T2^10 + 
      1409*T1^12*T2^10 - 655*T1^5*T2^11 + 2322*T1^6*T2^11 - 3450*T1^7*T2^11 + 
      1620*T1^8*T2^11 + 1620*T1^9*T2^11 - 3450*T1^10*T2^11 + 
      2322*T1^11*T2^11 - 655*T1^12*T2^11 + 145*T1^6*T2^12 - 655*T1^7*T2^12 + 
      1409*T1^8*T2^12 - 1761*T1^9*T2^12 + 1409*T1^10*T2^12 - 
      655*T1^11*T2^12 + 145*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 772] -> 
  {-((4 - 16*T + 28*T^2 - 33*T^3 + 28*T^4 - 16*T^5 + 4*T^6)/T^3), 
   -((128 - 496*T1 + 844*T1^2 - 984*T1^3 + 844*T1^4 - 496*T1^5 + 128*T1^6 - 
      496*T2 + 1440*T1*T2 - 1390*T1^2*T2 + 566*T1^3*T2 + 566*T1^4*T2 - 
      1390*T1^5*T2 + 1440*T1^6*T2 - 496*T1^7*T2 + 844*T2^2 - 1390*T1*T2^2 - 
      1024*T1^2*T2^2 + 3221*T1^3*T2^2 - 4134*T1^4*T2^2 + 3221*T1^5*T2^2 - 
      1024*T1^6*T2^2 - 1390*T1^7*T2^2 + 844*T1^8*T2^2 - 984*T2^3 + 
      566*T1*T2^3 + 3221*T1^2*T2^3 - 3308*T1^3*T2^3 + 1426*T1^4*T2^3 + 
      1426*T1^5*T2^3 - 3308*T1^6*T2^3 + 3221*T1^7*T2^3 + 566*T1^8*T2^3 - 
      984*T1^9*T2^3 + 844*T2^4 + 566*T1*T2^4 - 4134*T1^2*T2^4 + 
      1426*T1^3*T2^4 + 620*T1^4*T2^4 - 1658*T1^5*T2^4 + 620*T1^6*T2^4 + 
      1426*T1^7*T2^4 - 4134*T1^8*T2^4 + 566*T1^9*T2^4 + 844*T1^10*T2^4 - 
      496*T2^5 - 1390*T1*T2^5 + 3221*T1^2*T2^5 + 1426*T1^3*T2^5 - 
      1658*T1^4*T2^5 + 866*T1^5*T2^5 + 866*T1^6*T2^5 - 1658*T1^7*T2^5 + 
      1426*T1^8*T2^5 + 3221*T1^9*T2^5 - 1390*T1^10*T2^5 - 496*T1^11*T2^5 + 
      128*T2^6 + 1440*T1*T2^6 - 1024*T1^2*T2^6 - 3308*T1^3*T2^6 + 
      620*T1^4*T2^6 + 866*T1^5*T2^6 - 1728*T1^6*T2^6 + 866*T1^7*T2^6 + 
      620*T1^8*T2^6 - 3308*T1^9*T2^6 - 1024*T1^10*T2^6 + 1440*T1^11*T2^6 + 
      128*T1^12*T2^6 - 496*T1*T2^7 - 1390*T1^2*T2^7 + 3221*T1^3*T2^7 + 
      1426*T1^4*T2^7 - 1658*T1^5*T2^7 + 866*T1^6*T2^7 + 866*T1^7*T2^7 - 
      1658*T1^8*T2^7 + 1426*T1^9*T2^7 + 3221*T1^10*T2^7 - 1390*T1^11*T2^7 - 
      496*T1^12*T2^7 + 844*T1^2*T2^8 + 566*T1^3*T2^8 - 4134*T1^4*T2^8 + 
      1426*T1^5*T2^8 + 620*T1^6*T2^8 - 1658*T1^7*T2^8 + 620*T1^8*T2^8 + 
      1426*T1^9*T2^8 - 4134*T1^10*T2^8 + 566*T1^11*T2^8 + 844*T1^12*T2^8 - 
      984*T1^3*T2^9 + 566*T1^4*T2^9 + 3221*T1^5*T2^9 - 3308*T1^6*T2^9 + 
      1426*T1^7*T2^9 + 1426*T1^8*T2^9 - 3308*T1^9*T2^9 + 3221*T1^10*T2^9 + 
      566*T1^11*T2^9 - 984*T1^12*T2^9 + 844*T1^4*T2^10 - 1390*T1^5*T2^10 - 
      1024*T1^6*T2^10 + 3221*T1^7*T2^10 - 4134*T1^8*T2^10 + 3221*T1^9*T2^10 - 
      1024*T1^10*T2^10 - 1390*T1^11*T2^10 + 844*T1^12*T2^10 - 
      496*T1^5*T2^11 + 1440*T1^6*T2^11 - 1390*T1^7*T2^11 + 566*T1^8*T2^11 + 
      566*T1^9*T2^11 - 1390*T1^10*T2^11 + 1440*T1^11*T2^11 - 
      496*T1^12*T2^11 + 128*T1^6*T2^12 - 496*T1^7*T2^12 + 844*T1^8*T2^12 - 
      984*T1^9*T2^12 + 844*T1^10*T2^12 - 496*T1^11*T2^12 + 128*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, Alternating, 773] -> 
  {-(((2 - 3*T + 2*T^2)*(3 - 7*T + 3*T^2))/T^2), 
   -((261 - 955*T1 + 1341*T1^2 - 955*T1^3 + 261*T1^4 - 955*T2 + 2546*T1*T2 - 
      1426*T1^2*T2 - 1426*T1^3*T2 + 2546*T1^4*T2 - 955*T1^5*T2 + 1341*T2^2 - 
      1426*T1*T2^2 - 4560*T1^2*T2^2 + 8272*T1^3*T2^2 - 4560*T1^4*T2^2 - 
      1426*T1^5*T2^2 + 1341*T1^6*T2^2 - 955*T2^3 - 1426*T1*T2^3 + 
      8272*T1^2*T2^3 - 4964*T1^3*T2^3 - 4964*T1^4*T2^3 + 8272*T1^5*T2^3 - 
      1426*T1^6*T2^3 - 955*T1^7*T2^3 + 261*T2^4 + 2546*T1*T2^4 - 
      4560*T1^2*T2^4 - 4964*T1^3*T2^4 + 11196*T1^4*T2^4 - 4964*T1^5*T2^4 - 
      4560*T1^6*T2^4 + 2546*T1^7*T2^4 + 261*T1^8*T2^4 - 955*T1*T2^5 - 
      1426*T1^2*T2^5 + 8272*T1^3*T2^5 - 4964*T1^4*T2^5 - 4964*T1^5*T2^5 + 
      8272*T1^6*T2^5 - 1426*T1^7*T2^5 - 955*T1^8*T2^5 + 1341*T1^2*T2^6 - 
      1426*T1^3*T2^6 - 4560*T1^4*T2^6 + 8272*T1^5*T2^6 - 4560*T1^6*T2^6 - 
      1426*T1^7*T2^6 + 1341*T1^8*T2^6 - 955*T1^3*T2^7 + 2546*T1^4*T2^7 - 
      1426*T1^5*T2^7 - 1426*T1^6*T2^7 + 2546*T1^7*T2^7 - 955*T1^8*T2^7 + 
      261*T1^4*T2^8 - 955*T1^5*T2^8 + 1341*T1^6*T2^8 - 955*T1^7*T2^8 + 
      261*T1^8*T2^8)/(T1^4*T2^4))}, Knot[12, Alternating, 774] -> 
  {(6 - 22*T + 33*T^2 - 22*T^3 + 6*T^4)/T^2, 
   -((45 - 149*T1 + 219*T1^2 - 149*T1^3 + 45*T1^4 - 149*T2 + 344*T1*T2 - 
      230*T1^2*T2 - 230*T1^3*T2 + 344*T1^4*T2 - 149*T1^5*T2 + 219*T2^2 - 
      230*T1*T2^2 - 315*T1^2*T2^2 + 883*T1^3*T2^2 - 315*T1^4*T2^2 - 
      230*T1^5*T2^2 + 219*T1^6*T2^2 - 149*T2^3 - 230*T1*T2^3 + 
      883*T1^2*T2^3 - 736*T1^3*T2^3 - 736*T1^4*T2^3 + 883*T1^5*T2^3 - 
      230*T1^6*T2^3 - 149*T1^7*T2^3 + 45*T2^4 + 344*T1*T2^4 - 315*T1^2*T2^4 - 
      736*T1^3*T2^4 + 1908*T1^4*T2^4 - 736*T1^5*T2^4 - 315*T1^6*T2^4 + 
      344*T1^7*T2^4 + 45*T1^8*T2^4 - 149*T1*T2^5 - 230*T1^2*T2^5 + 
      883*T1^3*T2^5 - 736*T1^4*T2^5 - 736*T1^5*T2^5 + 883*T1^6*T2^5 - 
      230*T1^7*T2^5 - 149*T1^8*T2^5 + 219*T1^2*T2^6 - 230*T1^3*T2^6 - 
      315*T1^4*T2^6 + 883*T1^5*T2^6 - 315*T1^6*T2^6 - 230*T1^7*T2^6 + 
      219*T1^8*T2^6 - 149*T1^3*T2^7 + 344*T1^4*T2^7 - 230*T1^5*T2^7 - 
      230*T1^6*T2^7 + 344*T1^7*T2^7 - 149*T1^8*T2^7 + 45*T1^4*T2^8 - 
      149*T1^5*T2^8 + 219*T1^6*T2^8 - 149*T1^7*T2^8 + 45*T1^8*T2^8)/
     (T1^4*T2^4))}, Knot[12, Alternating, 775] -> 
  {-((6 - 22*T + 31*T^2 - 22*T^3 + 6*T^4)/T^2), 
   -((315 - 1139*T1 + 1583*T1^2 - 1139*T1^3 + 315*T1^4 - 1139*T2 + 
      2984*T1*T2 - 1612*T1^2*T2 - 1612*T1^3*T2 + 2984*T1^4*T2 - 
      1139*T1^5*T2 + 1583*T2^2 - 1612*T1*T2^2 - 5409*T1^2*T2^2 + 
      9439*T1^3*T2^2 - 5409*T1^4*T2^2 - 1612*T1^5*T2^2 + 1583*T1^6*T2^2 - 
      1139*T2^3 - 1612*T1*T2^3 + 9439*T1^2*T2^3 - 5384*T1^3*T2^3 - 
      5384*T1^4*T2^3 + 9439*T1^5*T2^3 - 1612*T1^6*T2^3 - 1139*T1^7*T2^3 + 
      315*T2^4 + 2984*T1*T2^4 - 5409*T1^2*T2^4 - 5384*T1^3*T2^4 + 
      11844*T1^4*T2^4 - 5384*T1^5*T2^4 - 5409*T1^6*T2^4 + 2984*T1^7*T2^4 + 
      315*T1^8*T2^4 - 1139*T1*T2^5 - 1612*T1^2*T2^5 + 9439*T1^3*T2^5 - 
      5384*T1^4*T2^5 - 5384*T1^5*T2^5 + 9439*T1^6*T2^5 - 1612*T1^7*T2^5 - 
      1139*T1^8*T2^5 + 1583*T1^2*T2^6 - 1612*T1^3*T2^6 - 5409*T1^4*T2^6 + 
      9439*T1^5*T2^6 - 5409*T1^6*T2^6 - 1612*T1^7*T2^6 + 1583*T1^8*T2^6 - 
      1139*T1^3*T2^7 + 2984*T1^4*T2^7 - 1612*T1^5*T2^7 - 1612*T1^6*T2^7 + 
      2984*T1^7*T2^7 - 1139*T1^8*T2^7 + 315*T1^4*T2^8 - 1139*T1^5*T2^8 + 
      1583*T1^6*T2^8 - 1139*T1^7*T2^8 + 315*T1^8*T2^8)/(T1^4*T2^4))}, 
 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), -((1 - 8*T1 + 25*T1^2 - 46*T1^3 + 55*T1^4 - 46*T1^5 + 25*T1^6 - 
      8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 137*T1^2*T2 + 170*T1^3*T2 - 
      73*T1^4*T2 - 73*T1^5*T2 + 170*T1^6*T2 - 137*T1^7*T2 + 56*T1^8*T2 - 
      8*T1^9*T2 + 25*T2^2 - 137*T1*T2^2 + 149*T1^2*T2^2 + 231*T1^3*T2^2 - 
      928*T1^4*T2^2 + 1207*T1^5*T2^2 - 928*T1^6*T2^2 + 231*T1^7*T2^2 + 
      149*T1^8*T2^2 - 137*T1^9*T2^2 + 25*T1^10*T2^2 - 46*T2^3 + 170*T1*T2^3 + 
      231*T1^2*T2^3 - 1346*T1^3*T2^3 + 2112*T1^4*T2^3 - 886*T1^5*T2^3 - 
      886*T1^6*T2^3 + 2112*T1^7*T2^3 - 1346*T1^8*T2^3 + 231*T1^9*T2^3 + 
      170*T1^10*T2^3 - 46*T1^11*T2^3 + 55*T2^4 - 73*T1*T2^4 - 928*T1^2*T2^4 + 
      2112*T1^3*T2^4 - 1090*T1^4*T2^4 - 2912*T1^5*T2^4 + 4356*T1^6*T2^4 - 
      2912*T1^7*T2^4 - 1090*T1^8*T2^4 + 2112*T1^9*T2^4 - 928*T1^10*T2^4 - 
      73*T1^11*T2^4 + 55*T1^12*T2^4 - 46*T2^5 - 73*T1*T2^5 + 1207*T1^2*T2^5 - 
      886*T1^3*T2^5 - 2912*T1^4*T2^5 + 7080*T1^5*T2^5 - 3027*T1^6*T2^5 - 
      3027*T1^7*T2^5 + 7080*T1^8*T2^5 - 2912*T1^9*T2^5 - 886*T1^10*T2^5 + 
      1207*T1^11*T2^5 - 73*T1^12*T2^5 - 46*T1^13*T2^5 + 25*T2^6 + 
      170*T1*T2^6 - 928*T1^2*T2^6 - 886*T1^3*T2^6 + 4356*T1^4*T2^6 - 
      3027*T1^5*T2^6 - 7793*T1^6*T2^6 + 11929*T1^7*T2^6 - 7793*T1^8*T2^6 - 
      3027*T1^9*T2^6 + 4356*T1^10*T2^6 - 886*T1^11*T2^6 - 928*T1^12*T2^6 + 
      170*T1^13*T2^6 + 25*T1^14*T2^6 - 8*T2^7 - 137*T1*T2^7 + 231*T1^2*T2^7 + 
      2112*T1^3*T2^7 - 2912*T1^4*T2^7 - 3027*T1^5*T2^7 + 11929*T1^6*T2^7 - 
      5474*T1^7*T2^7 - 5474*T1^8*T2^7 + 11929*T1^9*T2^7 - 3027*T1^10*T2^7 - 
      2912*T1^11*T2^7 + 2112*T1^12*T2^7 + 231*T1^13*T2^7 - 137*T1^14*T2^7 - 
      8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 149*T1^2*T2^8 - 1346*T1^3*T2^8 - 
      1090*T1^4*T2^8 + 7080*T1^5*T2^8 - 7793*T1^6*T2^8 - 5474*T1^7*T2^8 + 
      10968*T1^8*T2^8 - 5474*T1^9*T2^8 - 7793*T1^10*T2^8 + 7080*T1^11*T2^8 - 
      1090*T1^12*T2^8 - 1346*T1^13*T2^8 + 149*T1^14*T2^8 + 56*T1^15*T2^8 + 
      T1^16*T2^8 - 8*T1*T2^9 - 137*T1^2*T2^9 + 231*T1^3*T2^9 + 
      2112*T1^4*T2^9 - 2912*T1^5*T2^9 - 3027*T1^6*T2^9 + 11929*T1^7*T2^9 - 
      5474*T1^8*T2^9 - 5474*T1^9*T2^9 + 11929*T1^10*T2^9 - 3027*T1^11*T2^9 - 
      2912*T1^12*T2^9 + 2112*T1^13*T2^9 + 231*T1^14*T2^9 - 137*T1^15*T2^9 - 
      8*T1^16*T2^9 + 25*T1^2*T2^10 + 170*T1^3*T2^10 - 928*T1^4*T2^10 - 
      886*T1^5*T2^10 + 4356*T1^6*T2^10 - 3027*T1^7*T2^10 - 7793*T1^8*T2^10 + 
      11929*T1^9*T2^10 - 7793*T1^10*T2^10 - 3027*T1^11*T2^10 + 
      4356*T1^12*T2^10 - 886*T1^13*T2^10 - 928*T1^14*T2^10 + 
      170*T1^15*T2^10 + 25*T1^16*T2^10 - 46*T1^3*T2^11 - 73*T1^4*T2^11 + 
      1207*T1^5*T2^11 - 886*T1^6*T2^11 - 2912*T1^7*T2^11 + 7080*T1^8*T2^11 - 
      3027*T1^9*T2^11 - 3027*T1^10*T2^11 + 7080*T1^11*T2^11 - 
      2912*T1^12*T2^11 - 886*T1^13*T2^11 + 1207*T1^14*T2^11 - 
      73*T1^15*T2^11 - 46*T1^16*T2^11 + 55*T1^4*T2^12 - 73*T1^5*T2^12 - 
      928*T1^6*T2^12 + 2112*T1^7*T2^12 - 1090*T1^8*T2^12 - 2912*T1^9*T2^12 + 
      4356*T1^10*T2^12 - 2912*T1^11*T2^12 - 1090*T1^12*T2^12 + 
      2112*T1^13*T2^12 - 928*T1^14*T2^12 - 73*T1^15*T2^12 + 55*T1^16*T2^12 - 
      46*T1^5*T2^13 + 170*T1^6*T2^13 + 231*T1^7*T2^13 - 1346*T1^8*T2^13 + 
      2112*T1^9*T2^13 - 886*T1^10*T2^13 - 886*T1^11*T2^13 + 
      2112*T1^12*T2^13 - 1346*T1^13*T2^13 + 231*T1^14*T2^13 + 
      170*T1^15*T2^13 - 46*T1^16*T2^13 + 25*T1^6*T2^14 - 137*T1^7*T2^14 + 
      149*T1^8*T2^14 + 231*T1^9*T2^14 - 928*T1^10*T2^14 + 1207*T1^11*T2^14 - 
      928*T1^12*T2^14 + 231*T1^13*T2^14 + 149*T1^14*T2^14 - 137*T1^15*T2^14 + 
      25*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 137*T1^9*T2^15 + 
      170*T1^10*T2^15 - 73*T1^11*T2^15 - 73*T1^12*T2^15 + 170*T1^13*T2^15 - 
      137*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
      8*T1^9*T2^16 + 25*T1^10*T2^16 - 46*T1^11*T2^16 + 55*T1^12*T2^16 - 
      46*T1^13*T2^16 + 25*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, 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, 
   (2 - 16*T1 + 46*T1^2 - 72*T1^3 + 82*T1^4 - 72*T1^5 + 46*T1^6 - 16*T1^7 + 
     2*T1^8 - 16*T2 + 112*T1*T2 - 239*T1^2*T2 + 206*T1^3*T2 - 79*T1^4*T2 - 
     79*T1^5*T2 + 206*T1^6*T2 - 239*T1^7*T2 + 112*T1^8*T2 - 16*T1^9*T2 + 
     46*T2^2 - 239*T1*T2^2 + 87*T1^2*T2^2 + 872*T1^3*T2^2 - 1575*T1^4*T2^2 + 
     1829*T1^5*T2^2 - 1575*T1^6*T2^2 + 872*T1^7*T2^2 + 87*T1^8*T2^2 - 
     239*T1^9*T2^2 + 46*T1^10*T2^2 - 72*T2^3 + 206*T1*T2^3 + 872*T1^2*T2^3 - 
     2846*T1^3*T2^3 + 2313*T1^4*T2^3 - 868*T1^5*T2^3 - 868*T1^6*T2^3 + 
     2313*T1^7*T2^3 - 2846*T1^8*T2^3 + 872*T1^9*T2^3 + 206*T1^10*T2^3 - 
     72*T1^11*T2^3 + 82*T2^4 - 79*T1*T2^4 - 1575*T1^2*T2^4 + 2313*T1^3*T2^4 + 
     2188*T1^4*T2^4 - 4864*T1^5*T2^4 + 5830*T1^6*T2^4 - 4864*T1^7*T2^4 + 
     2188*T1^8*T2^4 + 2313*T1^9*T2^4 - 1575*T1^10*T2^4 - 79*T1^11*T2^4 + 
     82*T1^12*T2^4 - 72*T2^5 - 79*T1*T2^5 + 1829*T1^2*T2^5 - 868*T1^3*T2^5 - 
     4864*T1^4*T2^5 + 3740*T1^5*T2^5 - 1476*T1^6*T2^5 - 1476*T1^7*T2^5 + 
     3740*T1^8*T2^5 - 4864*T1^9*T2^5 - 868*T1^10*T2^5 + 1829*T1^11*T2^5 - 
     79*T1^12*T2^5 - 72*T1^13*T2^5 + 46*T2^6 + 206*T1*T2^6 - 1575*T1^2*T2^6 - 
     868*T1^3*T2^6 + 5830*T1^4*T2^6 - 1476*T1^5*T2^6 - 50*T1^6*T2^6 + 
     972*T1^7*T2^6 - 50*T1^8*T2^6 - 1476*T1^9*T2^6 + 5830*T1^10*T2^6 - 
     868*T1^11*T2^6 - 1575*T1^12*T2^6 + 206*T1^13*T2^6 + 46*T1^14*T2^6 - 
     16*T2^7 - 239*T1*T2^7 + 872*T1^2*T2^7 + 2313*T1^3*T2^7 - 
     4864*T1^4*T2^7 - 1476*T1^5*T2^7 + 972*T1^6*T2^7 - 730*T1^7*T2^7 - 
     730*T1^8*T2^7 + 972*T1^9*T2^7 - 1476*T1^10*T2^7 - 4864*T1^11*T2^7 + 
     2313*T1^12*T2^7 + 872*T1^13*T2^7 - 239*T1^14*T2^7 - 16*T1^15*T2^7 + 
     2*T2^8 + 112*T1*T2^8 + 87*T1^2*T2^8 - 2846*T1^3*T2^8 + 2188*T1^4*T2^8 + 
     3740*T1^5*T2^8 - 50*T1^6*T2^8 - 730*T1^7*T2^8 + 1728*T1^8*T2^8 - 
     730*T1^9*T2^8 - 50*T1^10*T2^8 + 3740*T1^11*T2^8 + 2188*T1^12*T2^8 - 
     2846*T1^13*T2^8 + 87*T1^14*T2^8 + 112*T1^15*T2^8 + 2*T1^16*T2^8 - 
     16*T1*T2^9 - 239*T1^2*T2^9 + 872*T1^3*T2^9 + 2313*T1^4*T2^9 - 
     4864*T1^5*T2^9 - 1476*T1^6*T2^9 + 972*T1^7*T2^9 - 730*T1^8*T2^9 - 
     730*T1^9*T2^9 + 972*T1^10*T2^9 - 1476*T1^11*T2^9 - 4864*T1^12*T2^9 + 
     2313*T1^13*T2^9 + 872*T1^14*T2^9 - 239*T1^15*T2^9 - 16*T1^16*T2^9 + 
     46*T1^2*T2^10 + 206*T1^3*T2^10 - 1575*T1^4*T2^10 - 868*T1^5*T2^10 + 
     5830*T1^6*T2^10 - 1476*T1^7*T2^10 - 50*T1^8*T2^10 + 972*T1^9*T2^10 - 
     50*T1^10*T2^10 - 1476*T1^11*T2^10 + 5830*T1^12*T2^10 - 868*T1^13*T2^10 - 
     1575*T1^14*T2^10 + 206*T1^15*T2^10 + 46*T1^16*T2^10 - 72*T1^3*T2^11 - 
     79*T1^4*T2^11 + 1829*T1^5*T2^11 - 868*T1^6*T2^11 - 4864*T1^7*T2^11 + 
     3740*T1^8*T2^11 - 1476*T1^9*T2^11 - 1476*T1^10*T2^11 + 
     3740*T1^11*T2^11 - 4864*T1^12*T2^11 - 868*T1^13*T2^11 + 
     1829*T1^14*T2^11 - 79*T1^15*T2^11 - 72*T1^16*T2^11 + 82*T1^4*T2^12 - 
     79*T1^5*T2^12 - 1575*T1^6*T2^12 + 2313*T1^7*T2^12 + 2188*T1^8*T2^12 - 
     4864*T1^9*T2^12 + 5830*T1^10*T2^12 - 4864*T1^11*T2^12 + 
     2188*T1^12*T2^12 + 2313*T1^13*T2^12 - 1575*T1^14*T2^12 - 
     79*T1^15*T2^12 + 82*T1^16*T2^12 - 72*T1^5*T2^13 + 206*T1^6*T2^13 + 
     872*T1^7*T2^13 - 2846*T1^8*T2^13 + 2313*T1^9*T2^13 - 868*T1^10*T2^13 - 
     868*T1^11*T2^13 + 2313*T1^12*T2^13 - 2846*T1^13*T2^13 + 
     872*T1^14*T2^13 + 206*T1^15*T2^13 - 72*T1^16*T2^13 + 46*T1^6*T2^14 - 
     239*T1^7*T2^14 + 87*T1^8*T2^14 + 872*T1^9*T2^14 - 1575*T1^10*T2^14 + 
     1829*T1^11*T2^14 - 1575*T1^12*T2^14 + 872*T1^13*T2^14 + 87*T1^14*T2^14 - 
     239*T1^15*T2^14 + 46*T1^16*T2^14 - 16*T1^7*T2^15 + 112*T1^8*T2^15 - 
     239*T1^9*T2^15 + 206*T1^10*T2^15 - 79*T1^11*T2^15 - 79*T1^12*T2^15 + 
     206*T1^13*T2^15 - 239*T1^14*T2^15 + 112*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)/(T1^8*T2^8)}, 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, 
   (T1^2 - T1^3 - T1^4 + T1^5 + 8*T1*T2 - 38*T1^2*T2 + 68*T1^3*T2 - 
     78*T1^4*T2 + 68*T1^5*T2 - 38*T1^6*T2 + 8*T1^7*T2 + T2^2 - 38*T1*T2^2 + 
     130*T1^2*T2^2 - 162*T1^3*T2^2 + 76*T1^4*T2^2 + 76*T1^5*T2^2 - 
     162*T1^6*T2^2 + 130*T1^7*T2^2 - 38*T1^8*T2^2 + T1^9*T2^2 - T2^3 + 
     68*T1*T2^3 - 162*T1^2*T2^3 - 29*T1^3*T2^3 + 510*T1^4*T2^3 - 
     801*T1^5*T2^3 + 510*T1^6*T2^3 - 29*T1^7*T2^3 - 162*T1^8*T2^3 + 
     68*T1^9*T2^3 - T1^10*T2^3 - T2^4 - 78*T1*T2^4 + 76*T1^2*T2^4 + 
     510*T1^3*T2^4 - 1216*T1^4*T2^4 + 698*T1^5*T2^4 + 698*T1^6*T2^4 - 
     1216*T1^7*T2^4 + 510*T1^8*T2^4 + 76*T1^9*T2^4 - 78*T1^10*T2^4 - 
     T1^11*T2^4 + T2^5 + 68*T1*T2^5 + 76*T1^2*T2^5 - 801*T1^3*T2^5 + 
     698*T1^4*T2^5 + 1563*T1^5*T2^5 - 2983*T1^6*T2^5 + 1563*T1^7*T2^5 + 
     698*T1^8*T2^5 - 801*T1^9*T2^5 + 76*T1^10*T2^5 + 68*T1^11*T2^5 + 
     T1^12*T2^5 - 38*T1*T2^6 - 162*T1^2*T2^6 + 510*T1^3*T2^6 + 
     698*T1^4*T2^6 - 2983*T1^5*T2^6 + 1714*T1^6*T2^6 + 1714*T1^7*T2^6 - 
     2983*T1^8*T2^6 + 698*T1^9*T2^6 + 510*T1^10*T2^6 - 162*T1^11*T2^6 - 
     38*T1^12*T2^6 + 8*T1*T2^7 + 130*T1^2*T2^7 - 29*T1^3*T2^7 - 
     1216*T1^4*T2^7 + 1563*T1^5*T2^7 + 1714*T1^6*T2^7 - 3672*T1^7*T2^7 + 
     1714*T1^8*T2^7 + 1563*T1^9*T2^7 - 1216*T1^10*T2^7 - 29*T1^11*T2^7 + 
     130*T1^12*T2^7 + 8*T1^13*T2^7 - 38*T1^2*T2^8 - 162*T1^3*T2^8 + 
     510*T1^4*T2^8 + 698*T1^5*T2^8 - 2983*T1^6*T2^8 + 1714*T1^7*T2^8 + 
     1714*T1^8*T2^8 - 2983*T1^9*T2^8 + 698*T1^10*T2^8 + 510*T1^11*T2^8 - 
     162*T1^12*T2^8 - 38*T1^13*T2^8 + T1^2*T2^9 + 68*T1^3*T2^9 + 
     76*T1^4*T2^9 - 801*T1^5*T2^9 + 698*T1^6*T2^9 + 1563*T1^7*T2^9 - 
     2983*T1^8*T2^9 + 1563*T1^9*T2^9 + 698*T1^10*T2^9 - 801*T1^11*T2^9 + 
     76*T1^12*T2^9 + 68*T1^13*T2^9 + T1^14*T2^9 - T1^3*T2^10 - 
     78*T1^4*T2^10 + 76*T1^5*T2^10 + 510*T1^6*T2^10 - 1216*T1^7*T2^10 + 
     698*T1^8*T2^10 + 698*T1^9*T2^10 - 1216*T1^10*T2^10 + 510*T1^11*T2^10 + 
     76*T1^12*T2^10 - 78*T1^13*T2^10 - T1^14*T2^10 - T1^4*T2^11 + 
     68*T1^5*T2^11 - 162*T1^6*T2^11 - 29*T1^7*T2^11 + 510*T1^8*T2^11 - 
     801*T1^9*T2^11 + 510*T1^10*T2^11 - 29*T1^11*T2^11 - 162*T1^12*T2^11 + 
     68*T1^13*T2^11 - T1^14*T2^11 + T1^5*T2^12 - 38*T1^6*T2^12 + 
     130*T1^7*T2^12 - 162*T1^8*T2^12 + 76*T1^9*T2^12 + 76*T1^10*T2^12 - 
     162*T1^11*T2^12 + 130*T1^12*T2^12 - 38*T1^13*T2^12 + T1^14*T2^12 + 
     8*T1^7*T2^13 - 38*T1^8*T2^13 + 68*T1^9*T2^13 - 78*T1^10*T2^13 + 
     68*T1^11*T2^13 - 38*T1^12*T2^13 + 8*T1^13*T2^13 + T1^9*T2^14 - 
     T1^10*T2^14 - T1^11*T2^14 + T1^12*T2^14)/(T1^7*T2^7)}, 
 Knot[12, Alternating, 779] -> 
  {-((2 - 16*T + 44*T^2 - 61*T^3 + 44*T^4 - 16*T^5 + 2*T^6)/T^3), 
   (1 - 8*T1 + 22*T1^2 - 31*T1^3 + 22*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
     56*T1*T2 - 108*T1^2*T2 + 68*T1^3*T2 + 68*T1^4*T2 - 108*T1^5*T2 + 
     56*T1^6*T2 - 8*T1^7*T2 + 22*T2^2 - 108*T1*T2^2 - 22*T1^2*T2^2 + 
     520*T1^3*T2^2 - 932*T1^4*T2^2 + 520*T1^5*T2^2 - 22*T1^6*T2^2 - 
     108*T1^7*T2^2 + 22*T1^8*T2^2 - 31*T2^3 + 68*T1*T2^3 + 520*T1^2*T2^3 - 
     1294*T1^3*T2^3 + 956*T1^4*T2^3 + 956*T1^5*T2^3 - 1294*T1^6*T2^3 + 
     520*T1^7*T2^3 + 68*T1^8*T2^3 - 31*T1^9*T2^3 + 22*T2^4 + 68*T1*T2^4 - 
     932*T1^2*T2^4 + 956*T1^3*T2^4 + 788*T1^4*T2^4 - 2984*T1^5*T2^4 + 
     788*T1^6*T2^4 + 956*T1^7*T2^4 - 932*T1^8*T2^4 + 68*T1^9*T2^4 + 
     22*T1^10*T2^4 - 8*T2^5 - 108*T1*T2^5 + 520*T1^2*T2^5 + 956*T1^3*T2^5 - 
     2984*T1^4*T2^5 + 2692*T1^5*T2^5 + 2692*T1^6*T2^5 - 2984*T1^7*T2^5 + 
     956*T1^8*T2^5 + 520*T1^9*T2^5 - 108*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
     56*T1*T2^6 - 22*T1^2*T2^6 - 1294*T1^3*T2^6 + 788*T1^4*T2^6 + 
     2692*T1^5*T2^6 - 7044*T1^6*T2^6 + 2692*T1^7*T2^6 + 788*T1^8*T2^6 - 
     1294*T1^9*T2^6 - 22*T1^10*T2^6 + 56*T1^11*T2^6 + T1^12*T2^6 - 
     8*T1*T2^7 - 108*T1^2*T2^7 + 520*T1^3*T2^7 + 956*T1^4*T2^7 - 
     2984*T1^5*T2^7 + 2692*T1^6*T2^7 + 2692*T1^7*T2^7 - 2984*T1^8*T2^7 + 
     956*T1^9*T2^7 + 520*T1^10*T2^7 - 108*T1^11*T2^7 - 8*T1^12*T2^7 + 
     22*T1^2*T2^8 + 68*T1^3*T2^8 - 932*T1^4*T2^8 + 956*T1^5*T2^8 + 
     788*T1^6*T2^8 - 2984*T1^7*T2^8 + 788*T1^8*T2^8 + 956*T1^9*T2^8 - 
     932*T1^10*T2^8 + 68*T1^11*T2^8 + 22*T1^12*T2^8 - 31*T1^3*T2^9 + 
     68*T1^4*T2^9 + 520*T1^5*T2^9 - 1294*T1^6*T2^9 + 956*T1^7*T2^9 + 
     956*T1^8*T2^9 - 1294*T1^9*T2^9 + 520*T1^10*T2^9 + 68*T1^11*T2^9 - 
     31*T1^12*T2^9 + 22*T1^4*T2^10 - 108*T1^5*T2^10 - 22*T1^6*T2^10 + 
     520*T1^7*T2^10 - 932*T1^8*T2^10 + 520*T1^9*T2^10 - 22*T1^10*T2^10 - 
     108*T1^11*T2^10 + 22*T1^12*T2^10 - 8*T1^5*T2^11 + 56*T1^6*T2^11 - 
     108*T1^7*T2^11 + 68*T1^8*T2^11 + 68*T1^9*T2^11 - 108*T1^10*T2^11 + 
     56*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
     22*T1^8*T2^12 - 31*T1^9*T2^12 + 22*T1^10*T2^12 - 8*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 780] -> 
  {-(((1 - T + T^2)*(5 - 19*T + 27*T^2 - 19*T^3 + 5*T^4))/T^3), 
   -((270 - 1275*T1 + 2672*T1^2 - 3396*T1^3 + 2672*T1^4 - 1275*T1^5 + 
      270*T1^6 - 1275*T2 + 4760*T1*T2 - 6637*T1^2*T2 + 3440*T1^3*T2 + 
      3440*T1^4*T2 - 6637*T1^5*T2 + 4760*T1^6*T2 - 1275*T1^7*T2 + 2672*T2^2 - 
      6637*T1*T2^2 + 615*T1^2*T2^2 + 13993*T1^3*T2^2 - 23757*T1^4*T2^2 + 
      13993*T1^5*T2^2 + 615*T1^6*T2^2 - 6637*T1^7*T2^2 + 2672*T1^8*T2^2 - 
      3396*T2^3 + 3440*T1*T2^3 + 13993*T1^2*T2^3 - 27954*T1^3*T2^3 + 
      17251*T1^4*T2^3 + 17251*T1^5*T2^3 - 27954*T1^6*T2^3 + 13993*T1^7*T2^3 + 
      3440*T1^8*T2^3 - 3396*T1^9*T2^3 + 2672*T2^4 + 3440*T1*T2^4 - 
      23757*T1^2*T2^4 + 17251*T1^3*T2^4 + 17298*T1^4*T2^4 - 46606*T1^5*T2^4 + 
      17298*T1^6*T2^4 + 17251*T1^7*T2^4 - 23757*T1^8*T2^4 + 3440*T1^9*T2^4 + 
      2672*T1^10*T2^4 - 1275*T2^5 - 6637*T1*T2^5 + 13993*T1^2*T2^5 + 
      17251*T1^3*T2^5 - 46606*T1^4*T2^5 + 32552*T1^5*T2^5 + 32552*T1^6*T2^5 - 
      46606*T1^7*T2^5 + 17251*T1^8*T2^5 + 13993*T1^9*T2^5 - 6637*T1^10*T2^5 - 
      1275*T1^11*T2^5 + 270*T2^6 + 4760*T1*T2^6 + 615*T1^2*T2^6 - 
      27954*T1^3*T2^6 + 17298*T1^4*T2^6 + 32552*T1^5*T2^6 - 76020*T1^6*T2^6 + 
      32552*T1^7*T2^6 + 17298*T1^8*T2^6 - 27954*T1^9*T2^6 + 615*T1^10*T2^6 + 
      4760*T1^11*T2^6 + 270*T1^12*T2^6 - 1275*T1*T2^7 - 6637*T1^2*T2^7 + 
      13993*T1^3*T2^7 + 17251*T1^4*T2^7 - 46606*T1^5*T2^7 + 32552*T1^6*T2^7 + 
      32552*T1^7*T2^7 - 46606*T1^8*T2^7 + 17251*T1^9*T2^7 + 
      13993*T1^10*T2^7 - 6637*T1^11*T2^7 - 1275*T1^12*T2^7 + 2672*T1^2*T2^8 + 
      3440*T1^3*T2^8 - 23757*T1^4*T2^8 + 17251*T1^5*T2^8 + 17298*T1^6*T2^8 - 
      46606*T1^7*T2^8 + 17298*T1^8*T2^8 + 17251*T1^9*T2^8 - 
      23757*T1^10*T2^8 + 3440*T1^11*T2^8 + 2672*T1^12*T2^8 - 3396*T1^3*T2^9 + 
      3440*T1^4*T2^9 + 13993*T1^5*T2^9 - 27954*T1^6*T2^9 + 17251*T1^7*T2^9 + 
      17251*T1^8*T2^9 - 27954*T1^9*T2^9 + 13993*T1^10*T2^9 + 
      3440*T1^11*T2^9 - 3396*T1^12*T2^9 + 2672*T1^4*T2^10 - 6637*T1^5*T2^10 + 
      615*T1^6*T2^10 + 13993*T1^7*T2^10 - 23757*T1^8*T2^10 + 
      13993*T1^9*T2^10 + 615*T1^10*T2^10 - 6637*T1^11*T2^10 + 
      2672*T1^12*T2^10 - 1275*T1^5*T2^11 + 4760*T1^6*T2^11 - 
      6637*T1^7*T2^11 + 3440*T1^8*T2^11 + 3440*T1^9*T2^11 - 
      6637*T1^10*T2^11 + 4760*T1^11*T2^11 - 1275*T1^12*T2^11 + 
      270*T1^6*T2^12 - 1275*T1^7*T2^12 + 2672*T1^8*T2^12 - 3396*T1^9*T2^12 + 
      2672*T1^10*T2^12 - 1275*T1^11*T2^12 + 270*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 781] -> 
  {-((2 - 14*T + 37*T^2 - 51*T^3 + 37*T^4 - 14*T^5 + 2*T^6)/T^3), 
   -((1 - 8*T1 + 22*T1^2 - 31*T1^3 + 22*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
      56*T1*T2 - 115*T1^2*T2 + 75*T1^3*T2 + 75*T1^4*T2 - 115*T1^5*T2 + 
      56*T1^6*T2 - 8*T1^7*T2 + 22*T2^2 - 115*T1*T2^2 + 19*T1^2*T2^2 + 
      534*T1^3*T2^2 - 1029*T1^4*T2^2 + 534*T1^5*T2^2 + 19*T1^6*T2^2 - 
      115*T1^7*T2^2 + 22*T1^8*T2^2 - 31*T2^3 + 75*T1*T2^3 + 534*T1^2*T2^3 - 
      1620*T1^3*T2^3 + 1252*T1^4*T2^3 + 1252*T1^5*T2^3 - 1620*T1^6*T2^3 + 
      534*T1^7*T2^3 + 75*T1^8*T2^3 - 31*T1^9*T2^3 + 22*T2^4 + 75*T1*T2^4 - 
      1029*T1^2*T2^4 + 1252*T1^3*T2^4 + 1704*T1^4*T2^4 - 5088*T1^5*T2^4 + 
      1704*T1^6*T2^4 + 1252*T1^7*T2^4 - 1029*T1^8*T2^4 + 75*T1^9*T2^4 + 
      22*T1^10*T2^4 - 8*T2^5 - 115*T1*T2^5 + 534*T1^2*T2^5 + 1252*T1^3*T2^5 - 
      5088*T1^4*T2^5 + 4306*T1^5*T2^5 + 4306*T1^6*T2^5 - 5088*T1^7*T2^5 + 
      1252*T1^8*T2^5 + 534*T1^9*T2^5 - 115*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
      56*T1*T2^6 + 19*T1^2*T2^6 - 1620*T1^3*T2^6 + 1704*T1^4*T2^6 + 
      4306*T1^5*T2^6 - 11028*T1^6*T2^6 + 4306*T1^7*T2^6 + 1704*T1^8*T2^6 - 
      1620*T1^9*T2^6 + 19*T1^10*T2^6 + 56*T1^11*T2^6 + T1^12*T2^6 - 
      8*T1*T2^7 - 115*T1^2*T2^7 + 534*T1^3*T2^7 + 1252*T1^4*T2^7 - 
      5088*T1^5*T2^7 + 4306*T1^6*T2^7 + 4306*T1^7*T2^7 - 5088*T1^8*T2^7 + 
      1252*T1^9*T2^7 + 534*T1^10*T2^7 - 115*T1^11*T2^7 - 8*T1^12*T2^7 + 
      22*T1^2*T2^8 + 75*T1^3*T2^8 - 1029*T1^4*T2^8 + 1252*T1^5*T2^8 + 
      1704*T1^6*T2^8 - 5088*T1^7*T2^8 + 1704*T1^8*T2^8 + 1252*T1^9*T2^8 - 
      1029*T1^10*T2^8 + 75*T1^11*T2^8 + 22*T1^12*T2^8 - 31*T1^3*T2^9 + 
      75*T1^4*T2^9 + 534*T1^5*T2^9 - 1620*T1^6*T2^9 + 1252*T1^7*T2^9 + 
      1252*T1^8*T2^9 - 1620*T1^9*T2^9 + 534*T1^10*T2^9 + 75*T1^11*T2^9 - 
      31*T1^12*T2^9 + 22*T1^4*T2^10 - 115*T1^5*T2^10 + 19*T1^6*T2^10 + 
      534*T1^7*T2^10 - 1029*T1^8*T2^10 + 534*T1^9*T2^10 + 19*T1^10*T2^10 - 
      115*T1^11*T2^10 + 22*T1^12*T2^10 - 8*T1^5*T2^11 + 56*T1^6*T2^11 - 
      115*T1^7*T2^11 + 75*T1^8*T2^11 + 75*T1^9*T2^11 - 115*T1^10*T2^11 + 
      56*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
      22*T1^8*T2^12 - 31*T1^9*T2^12 + 22*T1^10*T2^12 - 8*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 782] -> 
  {(2 - 14*T + 36*T^2 - 47*T^3 + 36*T^4 - 14*T^5 + 2*T^6)/T^3, 
   (7 - 48*T1 + 122*T1^2 - 159*T1^3 + 122*T1^4 - 48*T1^5 + 7*T1^6 - 48*T2 + 
     280*T1*T2 - 501*T1^2*T2 + 249*T1^3*T2 + 249*T1^4*T2 - 501*T1^5*T2 + 
     280*T1^6*T2 - 48*T1^7*T2 + 122*T2^2 - 501*T1*T2^2 + 37*T1^2*T2^2 + 
     1877*T1^3*T2^2 - 2861*T1^4*T2^2 + 1877*T1^5*T2^2 + 37*T1^6*T2^2 - 
     501*T1^7*T2^2 + 122*T1^8*T2^2 - 159*T2^3 + 249*T1*T2^3 + 
     1877*T1^2*T2^3 - 4678*T1^3*T2^3 + 2411*T1^4*T2^3 + 2411*T1^5*T2^3 - 
     4678*T1^6*T2^3 + 1877*T1^7*T2^3 + 249*T1^8*T2^3 - 159*T1^9*T2^3 + 
     122*T2^4 + 249*T1*T2^4 - 2861*T1^2*T2^4 + 2411*T1^3*T2^4 + 
     5732*T1^4*T2^4 - 10200*T1^5*T2^4 + 5732*T1^6*T2^4 + 2411*T1^7*T2^4 - 
     2861*T1^8*T2^4 + 249*T1^9*T2^4 + 122*T1^10*T2^4 - 48*T2^5 - 
     501*T1*T2^5 + 1877*T1^2*T2^5 + 2411*T1^3*T2^5 - 10200*T1^4*T2^5 + 
     5724*T1^5*T2^5 + 5724*T1^6*T2^5 - 10200*T1^7*T2^5 + 2411*T1^8*T2^5 + 
     1877*T1^9*T2^5 - 501*T1^10*T2^5 - 48*T1^11*T2^5 + 7*T2^6 + 280*T1*T2^6 + 
     37*T1^2*T2^6 - 4678*T1^3*T2^6 + 5732*T1^4*T2^6 + 5724*T1^5*T2^6 - 
     12612*T1^6*T2^6 + 5724*T1^7*T2^6 + 5732*T1^8*T2^6 - 4678*T1^9*T2^6 + 
     37*T1^10*T2^6 + 280*T1^11*T2^6 + 7*T1^12*T2^6 - 48*T1*T2^7 - 
     501*T1^2*T2^7 + 1877*T1^3*T2^7 + 2411*T1^4*T2^7 - 10200*T1^5*T2^7 + 
     5724*T1^6*T2^7 + 5724*T1^7*T2^7 - 10200*T1^8*T2^7 + 2411*T1^9*T2^7 + 
     1877*T1^10*T2^7 - 501*T1^11*T2^7 - 48*T1^12*T2^7 + 122*T1^2*T2^8 + 
     249*T1^3*T2^8 - 2861*T1^4*T2^8 + 2411*T1^5*T2^8 + 5732*T1^6*T2^8 - 
     10200*T1^7*T2^8 + 5732*T1^8*T2^8 + 2411*T1^9*T2^8 - 2861*T1^10*T2^8 + 
     249*T1^11*T2^8 + 122*T1^12*T2^8 - 159*T1^3*T2^9 + 249*T1^4*T2^9 + 
     1877*T1^5*T2^9 - 4678*T1^6*T2^9 + 2411*T1^7*T2^9 + 2411*T1^8*T2^9 - 
     4678*T1^9*T2^9 + 1877*T1^10*T2^9 + 249*T1^11*T2^9 - 159*T1^12*T2^9 + 
     122*T1^4*T2^10 - 501*T1^5*T2^10 + 37*T1^6*T2^10 + 1877*T1^7*T2^10 - 
     2861*T1^8*T2^10 + 1877*T1^9*T2^10 + 37*T1^10*T2^10 - 501*T1^11*T2^10 + 
     122*T1^12*T2^10 - 48*T1^5*T2^11 + 280*T1^6*T2^11 - 501*T1^7*T2^11 + 
     249*T1^8*T2^11 + 249*T1^9*T2^11 - 501*T1^10*T2^11 + 280*T1^11*T2^11 - 
     48*T1^12*T2^11 + 7*T1^6*T2^12 - 48*T1^7*T2^12 + 122*T1^8*T2^12 - 
     159*T1^9*T2^12 + 122*T1^10*T2^12 - 48*T1^11*T2^12 + 7*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 783] -> 
  {(2 - 16*T + 45*T^2 - 61*T^3 + 45*T^4 - 16*T^5 + 2*T^6)/T^3, 
   (9 - 72*T1 + 202*T1^2 - 273*T1^3 + 202*T1^4 - 72*T1^5 + 9*T1^6 - 72*T2 + 
     504*T1*T2 - 1036*T1^2*T2 + 564*T1^3*T2 + 564*T1^4*T2 - 1036*T1^5*T2 + 
     504*T1^6*T2 - 72*T1^7*T2 + 202*T2^2 - 1036*T1*T2^2 + 174*T1^2*T2^2 + 
     4899*T1^3*T2^2 - 7956*T1^4*T2^2 + 4899*T1^5*T2^2 + 174*T1^6*T2^2 - 
     1036*T1^7*T2^2 + 202*T1^8*T2^2 - 273*T2^3 + 564*T1*T2^3 + 
     4899*T1^2*T2^3 - 14356*T1^3*T2^3 + 8219*T1^4*T2^3 + 8219*T1^5*T2^3 - 
     14356*T1^6*T2^3 + 4899*T1^7*T2^3 + 564*T1^8*T2^3 - 273*T1^9*T2^3 + 
     202*T2^4 + 564*T1*T2^4 - 7956*T1^2*T2^4 + 8219*T1^3*T2^4 + 
     20719*T1^4*T2^4 - 39117*T1^5*T2^4 + 20719*T1^6*T2^4 + 8219*T1^7*T2^4 - 
     7956*T1^8*T2^4 + 564*T1^9*T2^4 + 202*T1^10*T2^4 - 72*T2^5 - 
     1036*T1*T2^5 + 4899*T1^2*T2^5 + 8219*T1^3*T2^5 - 39117*T1^4*T2^5 + 
     23606*T1^5*T2^5 + 23606*T1^6*T2^5 - 39117*T1^7*T2^5 + 8219*T1^8*T2^5 + 
     4899*T1^9*T2^5 - 1036*T1^10*T2^5 - 72*T1^11*T2^5 + 9*T2^6 + 
     504*T1*T2^6 + 174*T1^2*T2^6 - 14356*T1^3*T2^6 + 20719*T1^4*T2^6 + 
     23606*T1^5*T2^6 - 53172*T1^6*T2^6 + 23606*T1^7*T2^6 + 20719*T1^8*T2^6 - 
     14356*T1^9*T2^6 + 174*T1^10*T2^6 + 504*T1^11*T2^6 + 9*T1^12*T2^6 - 
     72*T1*T2^7 - 1036*T1^2*T2^7 + 4899*T1^3*T2^7 + 8219*T1^4*T2^7 - 
     39117*T1^5*T2^7 + 23606*T1^6*T2^7 + 23606*T1^7*T2^7 - 39117*T1^8*T2^7 + 
     8219*T1^9*T2^7 + 4899*T1^10*T2^7 - 1036*T1^11*T2^7 - 72*T1^12*T2^7 + 
     202*T1^2*T2^8 + 564*T1^3*T2^8 - 7956*T1^4*T2^8 + 8219*T1^5*T2^8 + 
     20719*T1^6*T2^8 - 39117*T1^7*T2^8 + 20719*T1^8*T2^8 + 8219*T1^9*T2^8 - 
     7956*T1^10*T2^8 + 564*T1^11*T2^8 + 202*T1^12*T2^8 - 273*T1^3*T2^9 + 
     564*T1^4*T2^9 + 4899*T1^5*T2^9 - 14356*T1^6*T2^9 + 8219*T1^7*T2^9 + 
     8219*T1^8*T2^9 - 14356*T1^9*T2^9 + 4899*T1^10*T2^9 + 564*T1^11*T2^9 - 
     273*T1^12*T2^9 + 202*T1^4*T2^10 - 1036*T1^5*T2^10 + 174*T1^6*T2^10 + 
     4899*T1^7*T2^10 - 7956*T1^8*T2^10 + 4899*T1^9*T2^10 + 174*T1^10*T2^10 - 
     1036*T1^11*T2^10 + 202*T1^12*T2^10 - 72*T1^5*T2^11 + 504*T1^6*T2^11 - 
     1036*T1^7*T2^11 + 564*T1^8*T2^11 + 564*T1^9*T2^11 - 1036*T1^10*T2^11 + 
     504*T1^11*T2^11 - 72*T1^12*T2^11 + 9*T1^6*T2^12 - 72*T1^7*T2^12 + 
     202*T1^8*T2^12 - 273*T1^9*T2^12 + 202*T1^10*T2^12 - 72*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, 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, (1 - 4*T1 + 10*T1^2 - 17*T1^3 + 21*T1^4 - 17*T1^5 + 10*T1^6 - 
     4*T1^7 + T1^8 - 4*T2 + 12*T1*T2 - 24*T1^2*T2 + 28*T1^3*T2 - 16*T1^4*T2 - 
     16*T1^5*T2 + 28*T1^6*T2 - 24*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 
     10*T2^2 - 24*T1*T2^2 + 52*T1^2*T2^2 - 80*T1^3*T2^2 + 114*T1^4*T2^2 - 
     106*T1^5*T2^2 + 114*T1^6*T2^2 - 80*T1^7*T2^2 + 52*T1^8*T2^2 - 
     24*T1^9*T2^2 + 10*T1^10*T2^2 - 17*T2^3 + 28*T1*T2^3 - 80*T1^2*T2^3 + 
     142*T1^3*T2^3 - 209*T1^4*T2^3 + 67*T1^5*T2^3 + 67*T1^6*T2^3 - 
     209*T1^7*T2^3 + 142*T1^8*T2^3 - 80*T1^9*T2^3 + 28*T1^10*T2^3 - 
     17*T1^11*T2^3 + 21*T2^4 - 16*T1*T2^4 + 114*T1^2*T2^4 - 209*T1^3*T2^4 + 
     282*T1^4*T2^4 + 64*T1^5*T2^4 - 110*T1^6*T2^4 + 64*T1^7*T2^4 + 
     282*T1^8*T2^4 - 209*T1^9*T2^4 + 114*T1^10*T2^4 - 16*T1^11*T2^4 + 
     21*T1^12*T2^4 - 17*T2^5 - 16*T1*T2^5 - 106*T1^2*T2^5 + 67*T1^3*T2^5 + 
     64*T1^4*T2^5 - 626*T1^5*T2^5 + 170*T1^6*T2^5 + 170*T1^7*T2^5 - 
     626*T1^8*T2^5 + 64*T1^9*T2^5 + 67*T1^10*T2^5 - 106*T1^11*T2^5 - 
     16*T1^12*T2^5 - 17*T1^13*T2^5 + 10*T2^6 + 28*T1*T2^6 + 114*T1^2*T2^6 + 
     67*T1^3*T2^6 - 110*T1^4*T2^6 + 170*T1^5*T2^6 + 1241*T1^6*T2^6 - 
     1357*T1^7*T2^6 + 1241*T1^8*T2^6 + 170*T1^9*T2^6 - 110*T1^10*T2^6 + 
     67*T1^11*T2^6 + 114*T1^12*T2^6 + 28*T1^13*T2^6 + 10*T1^14*T2^6 - 
     4*T2^7 - 24*T1*T2^7 - 80*T1^2*T2^7 - 209*T1^3*T2^7 + 64*T1^4*T2^7 + 
     170*T1^5*T2^7 - 1357*T1^6*T2^7 + 240*T1^7*T2^7 + 240*T1^8*T2^7 - 
     1357*T1^9*T2^7 + 170*T1^10*T2^7 + 64*T1^11*T2^7 - 209*T1^12*T2^7 - 
     80*T1^13*T2^7 - 24*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 
     52*T1^2*T2^8 + 142*T1^3*T2^8 + 282*T1^4*T2^8 - 626*T1^5*T2^8 + 
     1241*T1^6*T2^8 + 240*T1^7*T2^8 + 12*T1^8*T2^8 + 240*T1^9*T2^8 + 
     1241*T1^10*T2^8 - 626*T1^11*T2^8 + 282*T1^12*T2^8 + 142*T1^13*T2^8 + 
     52*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 24*T1^2*T2^9 - 
     80*T1^3*T2^9 - 209*T1^4*T2^9 + 64*T1^5*T2^9 + 170*T1^6*T2^9 - 
     1357*T1^7*T2^9 + 240*T1^8*T2^9 + 240*T1^9*T2^9 - 1357*T1^10*T2^9 + 
     170*T1^11*T2^9 + 64*T1^12*T2^9 - 209*T1^13*T2^9 - 80*T1^14*T2^9 - 
     24*T1^15*T2^9 - 4*T1^16*T2^9 + 10*T1^2*T2^10 + 28*T1^3*T2^10 + 
     114*T1^4*T2^10 + 67*T1^5*T2^10 - 110*T1^6*T2^10 + 170*T1^7*T2^10 + 
     1241*T1^8*T2^10 - 1357*T1^9*T2^10 + 1241*T1^10*T2^10 + 170*T1^11*T2^10 - 
     110*T1^12*T2^10 + 67*T1^13*T2^10 + 114*T1^14*T2^10 + 28*T1^15*T2^10 + 
     10*T1^16*T2^10 - 17*T1^3*T2^11 - 16*T1^4*T2^11 - 106*T1^5*T2^11 + 
     67*T1^6*T2^11 + 64*T1^7*T2^11 - 626*T1^8*T2^11 + 170*T1^9*T2^11 + 
     170*T1^10*T2^11 - 626*T1^11*T2^11 + 64*T1^12*T2^11 + 67*T1^13*T2^11 - 
     106*T1^14*T2^11 - 16*T1^15*T2^11 - 17*T1^16*T2^11 + 21*T1^4*T2^12 - 
     16*T1^5*T2^12 + 114*T1^6*T2^12 - 209*T1^7*T2^12 + 282*T1^8*T2^12 + 
     64*T1^9*T2^12 - 110*T1^10*T2^12 + 64*T1^11*T2^12 + 282*T1^12*T2^12 - 
     209*T1^13*T2^12 + 114*T1^14*T2^12 - 16*T1^15*T2^12 + 21*T1^16*T2^12 - 
     17*T1^5*T2^13 + 28*T1^6*T2^13 - 80*T1^7*T2^13 + 142*T1^8*T2^13 - 
     209*T1^9*T2^13 + 67*T1^10*T2^13 + 67*T1^11*T2^13 - 209*T1^12*T2^13 + 
     142*T1^13*T2^13 - 80*T1^14*T2^13 + 28*T1^15*T2^13 - 17*T1^16*T2^13 + 
     10*T1^6*T2^14 - 24*T1^7*T2^14 + 52*T1^8*T2^14 - 80*T1^9*T2^14 + 
     114*T1^10*T2^14 - 106*T1^11*T2^14 + 114*T1^12*T2^14 - 80*T1^13*T2^14 + 
     52*T1^14*T2^14 - 24*T1^15*T2^14 + 10*T1^16*T2^14 - 4*T1^7*T2^15 + 
     12*T1^8*T2^15 - 24*T1^9*T2^15 + 28*T1^10*T2^15 - 16*T1^11*T2^15 - 
     16*T1^12*T2^15 + 28*T1^13*T2^15 - 24*T1^14*T2^15 + 12*T1^15*T2^15 - 
     4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 10*T1^10*T2^16 - 
     17*T1^11*T2^16 + 21*T1^12*T2^16 - 17*T1^13*T2^16 + 10*T1^14*T2^16 - 
     4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 
   (2 - 18*T1 + 64*T1^2 - 124*T1^3 + 154*T1^4 - 124*T1^5 + 64*T1^6 - 
     18*T1^7 + 2*T1^8 - 18*T2 + 144*T1*T2 - 414*T1^2*T2 + 540*T1^3*T2 - 
     270*T1^4*T2 - 270*T1^5*T2 + 540*T1^6*T2 - 414*T1^7*T2 + 144*T1^8*T2 - 
     18*T1^9*T2 + 64*T2^2 - 414*T1*T2^2 + 662*T1^2*T2^2 + 594*T1^3*T2^2 - 
     2968*T1^4*T2^2 + 4408*T1^5*T2^2 - 2968*T1^6*T2^2 + 594*T1^7*T2^2 + 
     662*T1^8*T2^2 - 414*T1^9*T2^2 + 64*T1^10*T2^2 - 124*T2^3 + 540*T1*T2^3 + 
     594*T1^2*T2^3 - 5470*T1^3*T2^3 + 8554*T1^4*T2^3 - 4754*T1^5*T2^3 - 
     4754*T1^6*T2^3 + 8554*T1^7*T2^3 - 5470*T1^8*T2^3 + 594*T1^9*T2^3 + 
     540*T1^10*T2^3 - 124*T1^11*T2^3 + 154*T2^4 - 270*T1*T2^4 - 
     2968*T1^2*T2^4 + 8554*T1^3*T2^4 - 1853*T1^4*T2^4 - 15404*T1^5*T2^4 + 
     27697*T1^6*T2^4 - 15404*T1^7*T2^4 - 1853*T1^8*T2^4 + 8554*T1^9*T2^4 - 
     2968*T1^10*T2^4 - 270*T1^11*T2^4 + 154*T1^12*T2^4 - 124*T2^5 - 
     270*T1*T2^5 + 4408*T1^2*T2^5 - 4754*T1^3*T2^5 - 15404*T1^4*T2^5 + 
     31346*T1^5*T2^5 - 19889*T1^6*T2^5 - 19889*T1^7*T2^5 + 31346*T1^8*T2^5 - 
     15404*T1^9*T2^5 - 4754*T1^10*T2^5 + 4408*T1^11*T2^5 - 270*T1^12*T2^5 - 
     124*T1^13*T2^5 + 64*T2^6 + 540*T1*T2^6 - 2968*T1^2*T2^6 - 
     4754*T1^3*T2^6 + 27697*T1^4*T2^6 - 19889*T1^5*T2^6 - 18203*T1^6*T2^6 + 
     51359*T1^7*T2^6 - 18203*T1^8*T2^6 - 19889*T1^9*T2^6 + 27697*T1^10*T2^6 - 
     4754*T1^11*T2^6 - 2968*T1^12*T2^6 + 540*T1^13*T2^6 + 64*T1^14*T2^6 - 
     18*T2^7 - 414*T1*T2^7 + 594*T1^2*T2^7 + 8554*T1^3*T2^7 - 
     15404*T1^4*T2^7 - 19889*T1^5*T2^7 + 51359*T1^6*T2^7 - 36042*T1^7*T2^7 - 
     36042*T1^8*T2^7 + 51359*T1^9*T2^7 - 19889*T1^10*T2^7 - 
     15404*T1^11*T2^7 + 8554*T1^12*T2^7 + 594*T1^13*T2^7 - 414*T1^14*T2^7 - 
     18*T1^15*T2^7 + 2*T2^8 + 144*T1*T2^8 + 662*T1^2*T2^8 - 5470*T1^3*T2^8 - 
     1853*T1^4*T2^8 + 31346*T1^5*T2^8 - 18203*T1^6*T2^8 - 36042*T1^7*T2^8 + 
     83844*T1^8*T2^8 - 36042*T1^9*T2^8 - 18203*T1^10*T2^8 + 
     31346*T1^11*T2^8 - 1853*T1^12*T2^8 - 5470*T1^13*T2^8 + 662*T1^14*T2^8 + 
     144*T1^15*T2^8 + 2*T1^16*T2^8 - 18*T1*T2^9 - 414*T1^2*T2^9 + 
     594*T1^3*T2^9 + 8554*T1^4*T2^9 - 15404*T1^5*T2^9 - 19889*T1^6*T2^9 + 
     51359*T1^7*T2^9 - 36042*T1^8*T2^9 - 36042*T1^9*T2^9 + 51359*T1^10*T2^9 - 
     19889*T1^11*T2^9 - 15404*T1^12*T2^9 + 8554*T1^13*T2^9 + 594*T1^14*T2^9 - 
     414*T1^15*T2^9 - 18*T1^16*T2^9 + 64*T1^2*T2^10 + 540*T1^3*T2^10 - 
     2968*T1^4*T2^10 - 4754*T1^5*T2^10 + 27697*T1^6*T2^10 - 
     19889*T1^7*T2^10 - 18203*T1^8*T2^10 + 51359*T1^9*T2^10 - 
     18203*T1^10*T2^10 - 19889*T1^11*T2^10 + 27697*T1^12*T2^10 - 
     4754*T1^13*T2^10 - 2968*T1^14*T2^10 + 540*T1^15*T2^10 + 64*T1^16*T2^10 - 
     124*T1^3*T2^11 - 270*T1^4*T2^11 + 4408*T1^5*T2^11 - 4754*T1^6*T2^11 - 
     15404*T1^7*T2^11 + 31346*T1^8*T2^11 - 19889*T1^9*T2^11 - 
     19889*T1^10*T2^11 + 31346*T1^11*T2^11 - 15404*T1^12*T2^11 - 
     4754*T1^13*T2^11 + 4408*T1^14*T2^11 - 270*T1^15*T2^11 - 
     124*T1^16*T2^11 + 154*T1^4*T2^12 - 270*T1^5*T2^12 - 2968*T1^6*T2^12 + 
     8554*T1^7*T2^12 - 1853*T1^8*T2^12 - 15404*T1^9*T2^12 + 
     27697*T1^10*T2^12 - 15404*T1^11*T2^12 - 1853*T1^12*T2^12 + 
     8554*T1^13*T2^12 - 2968*T1^14*T2^12 - 270*T1^15*T2^12 + 
     154*T1^16*T2^12 - 124*T1^5*T2^13 + 540*T1^6*T2^13 + 594*T1^7*T2^13 - 
     5470*T1^8*T2^13 + 8554*T1^9*T2^13 - 4754*T1^10*T2^13 - 
     4754*T1^11*T2^13 + 8554*T1^12*T2^13 - 5470*T1^13*T2^13 + 
     594*T1^14*T2^13 + 540*T1^15*T2^13 - 124*T1^16*T2^13 + 64*T1^6*T2^14 - 
     414*T1^7*T2^14 + 662*T1^8*T2^14 + 594*T1^9*T2^14 - 2968*T1^10*T2^14 + 
     4408*T1^11*T2^14 - 2968*T1^12*T2^14 + 594*T1^13*T2^14 + 
     662*T1^14*T2^14 - 414*T1^15*T2^14 + 64*T1^16*T2^14 - 18*T1^7*T2^15 + 
     144*T1^8*T2^15 - 414*T1^9*T2^15 + 540*T1^10*T2^15 - 270*T1^11*T2^15 - 
     270*T1^12*T2^15 + 540*T1^13*T2^15 - 414*T1^14*T2^15 + 144*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)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 786] -> 
  {-(((-2 + 5*T - 5*T^2 + T^3)*(-1 + 5*T - 5*T^2 + 2*T^3))/T^3), 
   -((1 - 8*T1 + 22*T1^2 - 31*T1^3 + 22*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
      56*T1*T2 - 115*T1^2*T2 + 75*T1^3*T2 + 75*T1^4*T2 - 115*T1^5*T2 + 
      56*T1^6*T2 - 8*T1^7*T2 + 22*T2^2 - 115*T1*T2^2 - 19*T1^2*T2^2 + 
      662*T1^3*T2^2 - 1217*T1^4*T2^2 + 662*T1^5*T2^2 - 19*T1^6*T2^2 - 
      115*T1^7*T2^2 + 22*T1^8*T2^2 - 31*T2^3 + 75*T1*T2^3 + 662*T1^2*T2^3 - 
      1918*T1^3*T2^3 + 1454*T1^4*T2^3 + 1454*T1^5*T2^3 - 1918*T1^6*T2^3 + 
      662*T1^7*T2^3 + 75*T1^8*T2^3 - 31*T1^9*T2^3 + 22*T2^4 + 75*T1*T2^4 - 
      1217*T1^2*T2^4 + 1454*T1^3*T2^4 + 1971*T1^4*T2^4 - 5873*T1^5*T2^4 + 
      1971*T1^6*T2^4 + 1454*T1^7*T2^4 - 1217*T1^8*T2^4 + 75*T1^9*T2^4 + 
      22*T1^10*T2^4 - 8*T2^5 - 115*T1*T2^5 + 662*T1^2*T2^5 + 1454*T1^3*T2^5 - 
      5873*T1^4*T2^5 + 4982*T1^5*T2^5 + 4982*T1^6*T2^5 - 5873*T1^7*T2^5 + 
      1454*T1^8*T2^5 + 662*T1^9*T2^5 - 115*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
      56*T1*T2^6 - 19*T1^2*T2^6 - 1918*T1^3*T2^6 + 1971*T1^4*T2^6 + 
      4982*T1^5*T2^6 - 12792*T1^6*T2^6 + 4982*T1^7*T2^6 + 1971*T1^8*T2^6 - 
      1918*T1^9*T2^6 - 19*T1^10*T2^6 + 56*T1^11*T2^6 + T1^12*T2^6 - 
      8*T1*T2^7 - 115*T1^2*T2^7 + 662*T1^3*T2^7 + 1454*T1^4*T2^7 - 
      5873*T1^5*T2^7 + 4982*T1^6*T2^7 + 4982*T1^7*T2^7 - 5873*T1^8*T2^7 + 
      1454*T1^9*T2^7 + 662*T1^10*T2^7 - 115*T1^11*T2^7 - 8*T1^12*T2^7 + 
      22*T1^2*T2^8 + 75*T1^3*T2^8 - 1217*T1^4*T2^8 + 1454*T1^5*T2^8 + 
      1971*T1^6*T2^8 - 5873*T1^7*T2^8 + 1971*T1^8*T2^8 + 1454*T1^9*T2^8 - 
      1217*T1^10*T2^8 + 75*T1^11*T2^8 + 22*T1^12*T2^8 - 31*T1^3*T2^9 + 
      75*T1^4*T2^9 + 662*T1^5*T2^9 - 1918*T1^6*T2^9 + 1454*T1^7*T2^9 + 
      1454*T1^8*T2^9 - 1918*T1^9*T2^9 + 662*T1^10*T2^9 + 75*T1^11*T2^9 - 
      31*T1^12*T2^9 + 22*T1^4*T2^10 - 115*T1^5*T2^10 - 19*T1^6*T2^10 + 
      662*T1^7*T2^10 - 1217*T1^8*T2^10 + 662*T1^9*T2^10 - 19*T1^10*T2^10 - 
      115*T1^11*T2^10 + 22*T1^12*T2^10 - 8*T1^5*T2^11 + 56*T1^6*T2^11 - 
      115*T1^7*T2^11 + 75*T1^8*T2^11 + 75*T1^9*T2^11 - 115*T1^10*T2^11 + 
      56*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
      22*T1^8*T2^12 - 31*T1^9*T2^12 + 22*T1^10*T2^12 - 8*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 787] -> 
  {(8 - 29*T + 43*T^2 - 29*T^3 + 8*T^4)/T^2, 
   (-2*(32 - 112*T1 + 168*T1^2 - 112*T1^3 + 32*T1^4 - 112*T2 + 283*T1*T2 - 
      199*T1^2*T2 - 199*T1^3*T2 + 283*T1^4*T2 - 112*T1^5*T2 + 168*T2^2 - 
      199*T1*T2^2 - 285*T1^2*T2^2 + 830*T1^3*T2^2 - 285*T1^4*T2^2 - 
      199*T1^5*T2^2 + 168*T1^6*T2^2 - 112*T2^3 - 199*T1*T2^3 + 
      830*T1^2*T2^3 - 725*T1^3*T2^3 - 725*T1^4*T2^3 + 830*T1^5*T2^3 - 
      199*T1^6*T2^3 - 112*T1^7*T2^3 + 32*T2^4 + 283*T1*T2^4 - 285*T1^2*T2^4 - 
      725*T1^3*T2^4 + 1914*T1^4*T2^4 - 725*T1^5*T2^4 - 285*T1^6*T2^4 + 
      283*T1^7*T2^4 + 32*T1^8*T2^4 - 112*T1*T2^5 - 199*T1^2*T2^5 + 
      830*T1^3*T2^5 - 725*T1^4*T2^5 - 725*T1^5*T2^5 + 830*T1^6*T2^5 - 
      199*T1^7*T2^5 - 112*T1^8*T2^5 + 168*T1^2*T2^6 - 199*T1^3*T2^6 - 
      285*T1^4*T2^6 + 830*T1^5*T2^6 - 285*T1^6*T2^6 - 199*T1^7*T2^6 + 
      168*T1^8*T2^6 - 112*T1^3*T2^7 + 283*T1^4*T2^7 - 199*T1^5*T2^7 - 
      199*T1^6*T2^7 + 283*T1^7*T2^7 - 112*T1^8*T2^7 + 32*T1^4*T2^8 - 
      112*T1^5*T2^8 + 168*T1^6*T2^8 - 112*T1^7*T2^8 + 32*T1^8*T2^8))/
    (T1^4*T2^4)}, 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), -((1 - 8*T1 + 31*T1^2 - 67*T1^3 + 85*T1^4 - 67*T1^5 + 31*T1^6 - 
      8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 184*T1^2*T2 + 288*T1^3*T2 - 
      144*T1^4*T2 - 144*T1^5*T2 + 288*T1^6*T2 - 184*T1^7*T2 + 56*T1^8*T2 - 
      8*T1^9*T2 + 31*T2^2 - 184*T1*T2^2 + 479*T1^2*T2^2 - 323*T1^3*T2^2 - 
      755*T1^4*T2^2 + 1375*T1^5*T2^2 - 755*T1^6*T2^2 - 323*T1^7*T2^2 + 
      479*T1^8*T2^2 - 184*T1^9*T2^2 + 31*T1^10*T2^2 - 67*T2^3 + 288*T1*T2^3 - 
      323*T1^2*T2^3 - 1412*T1^3*T2^3 + 4045*T1^4*T2^3 - 2204*T1^5*T2^3 - 
      2204*T1^6*T2^3 + 4045*T1^7*T2^3 - 1412*T1^8*T2^3 - 323*T1^9*T2^3 + 
      288*T1^10*T2^3 - 67*T1^11*T2^3 + 85*T2^4 - 144*T1*T2^4 - 
      755*T1^2*T2^4 + 4045*T1^3*T2^4 - 3257*T1^4*T2^4 - 9339*T1^5*T2^4 + 
      16449*T1^6*T2^4 - 9339*T1^7*T2^4 - 3257*T1^8*T2^4 + 4045*T1^9*T2^4 - 
      755*T1^10*T2^4 - 144*T1^11*T2^4 + 85*T1^12*T2^4 - 67*T2^5 - 
      144*T1*T2^5 + 1375*T1^2*T2^5 - 2204*T1^3*T2^5 - 9339*T1^4*T2^5 + 
      28930*T1^5*T2^5 - 15673*T1^6*T2^5 - 15673*T1^7*T2^5 + 28930*T1^8*T2^5 - 
      9339*T1^9*T2^5 - 2204*T1^10*T2^5 + 1375*T1^11*T2^5 - 144*T1^12*T2^5 - 
      67*T1^13*T2^5 + 31*T2^6 + 288*T1*T2^6 - 755*T1^2*T2^6 - 
      2204*T1^3*T2^6 + 16449*T1^4*T2^6 - 15673*T1^5*T2^6 - 36474*T1^6*T2^6 + 
      65818*T1^7*T2^6 - 36474*T1^8*T2^6 - 15673*T1^9*T2^6 + 
      16449*T1^10*T2^6 - 2204*T1^11*T2^6 - 755*T1^12*T2^6 + 288*T1^13*T2^6 + 
      31*T1^14*T2^6 - 8*T2^7 - 184*T1*T2^7 - 323*T1^2*T2^7 + 4045*T1^3*T2^7 - 
      9339*T1^4*T2^7 - 15673*T1^5*T2^7 + 65818*T1^6*T2^7 - 36486*T1^7*T2^7 - 
      36486*T1^8*T2^7 + 65818*T1^9*T2^7 - 15673*T1^10*T2^7 - 
      9339*T1^11*T2^7 + 4045*T1^12*T2^7 - 323*T1^13*T2^7 - 184*T1^14*T2^7 - 
      8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 479*T1^2*T2^8 - 1412*T1^3*T2^8 - 
      3257*T1^4*T2^8 + 28930*T1^5*T2^8 - 36474*T1^6*T2^8 - 36486*T1^7*T2^8 + 
      78612*T1^8*T2^8 - 36486*T1^9*T2^8 - 36474*T1^10*T2^8 + 
      28930*T1^11*T2^8 - 3257*T1^12*T2^8 - 1412*T1^13*T2^8 + 479*T1^14*T2^8 + 
      56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 184*T1^2*T2^9 - 
      323*T1^3*T2^9 + 4045*T1^4*T2^9 - 9339*T1^5*T2^9 - 15673*T1^6*T2^9 + 
      65818*T1^7*T2^9 - 36486*T1^8*T2^9 - 36486*T1^9*T2^9 + 
      65818*T1^10*T2^9 - 15673*T1^11*T2^9 - 9339*T1^12*T2^9 + 
      4045*T1^13*T2^9 - 323*T1^14*T2^9 - 184*T1^15*T2^9 - 8*T1^16*T2^9 + 
      31*T1^2*T2^10 + 288*T1^3*T2^10 - 755*T1^4*T2^10 - 2204*T1^5*T2^10 + 
      16449*T1^6*T2^10 - 15673*T1^7*T2^10 - 36474*T1^8*T2^10 + 
      65818*T1^9*T2^10 - 36474*T1^10*T2^10 - 15673*T1^11*T2^10 + 
      16449*T1^12*T2^10 - 2204*T1^13*T2^10 - 755*T1^14*T2^10 + 
      288*T1^15*T2^10 + 31*T1^16*T2^10 - 67*T1^3*T2^11 - 144*T1^4*T2^11 + 
      1375*T1^5*T2^11 - 2204*T1^6*T2^11 - 9339*T1^7*T2^11 + 
      28930*T1^8*T2^11 - 15673*T1^9*T2^11 - 15673*T1^10*T2^11 + 
      28930*T1^11*T2^11 - 9339*T1^12*T2^11 - 2204*T1^13*T2^11 + 
      1375*T1^14*T2^11 - 144*T1^15*T2^11 - 67*T1^16*T2^11 + 85*T1^4*T2^12 - 
      144*T1^5*T2^12 - 755*T1^6*T2^12 + 4045*T1^7*T2^12 - 3257*T1^8*T2^12 - 
      9339*T1^9*T2^12 + 16449*T1^10*T2^12 - 9339*T1^11*T2^12 - 
      3257*T1^12*T2^12 + 4045*T1^13*T2^12 - 755*T1^14*T2^12 - 
      144*T1^15*T2^12 + 85*T1^16*T2^12 - 67*T1^5*T2^13 + 288*T1^6*T2^13 - 
      323*T1^7*T2^13 - 1412*T1^8*T2^13 + 4045*T1^9*T2^13 - 2204*T1^10*T2^13 - 
      2204*T1^11*T2^13 + 4045*T1^12*T2^13 - 1412*T1^13*T2^13 - 
      323*T1^14*T2^13 + 288*T1^15*T2^13 - 67*T1^16*T2^13 + 31*T1^6*T2^14 - 
      184*T1^7*T2^14 + 479*T1^8*T2^14 - 323*T1^9*T2^14 - 755*T1^10*T2^14 + 
      1375*T1^11*T2^14 - 755*T1^12*T2^14 - 323*T1^13*T2^14 + 
      479*T1^14*T2^14 - 184*T1^15*T2^14 + 31*T1^16*T2^14 - 8*T1^7*T2^15 + 
      56*T1^8*T2^15 - 184*T1^9*T2^15 + 288*T1^10*T2^15 - 144*T1^11*T2^15 - 
      144*T1^12*T2^15 + 288*T1^13*T2^15 - 184*T1^14*T2^15 + 56*T1^15*T2^15 - 
      8*T1^16*T2^15 + T1^8*T2^16 - 8*T1^9*T2^16 + 31*T1^10*T2^16 - 
      67*T1^11*T2^16 + 85*T1^12*T2^16 - 67*T1^13*T2^16 + 31*T1^14*T2^16 - 
      8*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, (1 - 3*T1 + 6*T1^2 - 9*T1^3 + 11*T1^4 - 9*T1^5 + 6*T1^6 - 3*T1^7 + 
     T1^8 - 3*T2 + 6*T1*T2 - 9*T1^2*T2 + 9*T1^3*T2 - 6*T1^4*T2 - 6*T1^5*T2 + 
     9*T1^6*T2 - 9*T1^7*T2 + 6*T1^8*T2 - 3*T1^9*T2 + 6*T2^2 - 9*T1*T2^2 + 
     13*T1^2*T2^2 - 18*T1^3*T2^2 + 35*T1^4*T2^2 - 35*T1^5*T2^2 + 
     35*T1^6*T2^2 - 18*T1^7*T2^2 + 13*T1^8*T2^2 - 9*T1^9*T2^2 + 
     6*T1^10*T2^2 - 9*T2^3 + 9*T1*T2^3 - 18*T1^2*T2^3 + 36*T1^3*T2^3 - 
     76*T1^4*T2^3 + 33*T1^5*T2^3 + 33*T1^6*T2^3 - 76*T1^7*T2^3 + 
     36*T1^8*T2^3 - 18*T1^9*T2^3 + 9*T1^10*T2^3 - 9*T1^11*T2^3 + 11*T2^4 - 
     6*T1*T2^4 + 35*T1^2*T2^4 - 76*T1^3*T2^4 + 147*T1^4*T2^4 - 47*T1^5*T2^4 + 
     T1^6*T2^4 - 47*T1^7*T2^4 + 147*T1^8*T2^4 - 76*T1^9*T2^4 + 
     35*T1^10*T2^4 - 6*T1^11*T2^4 + 11*T1^12*T2^4 - 9*T2^5 - 6*T1*T2^5 - 
     35*T1^2*T2^5 + 33*T1^3*T2^5 - 47*T1^4*T2^5 - 154*T1^5*T2^5 + 
     72*T1^6*T2^5 + 72*T1^7*T2^5 - 154*T1^8*T2^5 - 47*T1^9*T2^5 + 
     33*T1^10*T2^5 - 35*T1^11*T2^5 - 6*T1^12*T2^5 - 9*T1^13*T2^5 + 6*T2^6 + 
     9*T1*T2^6 + 35*T1^2*T2^6 + 33*T1^3*T2^6 + T1^4*T2^6 + 72*T1^5*T2^6 + 
     318*T1^6*T2^6 - 422*T1^7*T2^6 + 318*T1^8*T2^6 + 72*T1^9*T2^6 + 
     T1^10*T2^6 + 33*T1^11*T2^6 + 35*T1^12*T2^6 + 9*T1^13*T2^6 + 
     6*T1^14*T2^6 - 3*T2^7 - 9*T1*T2^7 - 18*T1^2*T2^7 - 76*T1^3*T2^7 - 
     47*T1^4*T2^7 + 72*T1^5*T2^7 - 422*T1^6*T2^7 + 132*T1^7*T2^7 + 
     132*T1^8*T2^7 - 422*T1^9*T2^7 + 72*T1^10*T2^7 - 47*T1^11*T2^7 - 
     76*T1^12*T2^7 - 18*T1^13*T2^7 - 9*T1^14*T2^7 - 3*T1^15*T2^7 + T2^8 + 
     6*T1*T2^8 + 13*T1^2*T2^8 + 36*T1^3*T2^8 + 147*T1^4*T2^8 - 
     154*T1^5*T2^8 + 318*T1^6*T2^8 + 132*T1^7*T2^8 - 168*T1^8*T2^8 + 
     132*T1^9*T2^8 + 318*T1^10*T2^8 - 154*T1^11*T2^8 + 147*T1^12*T2^8 + 
     36*T1^13*T2^8 + 13*T1^14*T2^8 + 6*T1^15*T2^8 + T1^16*T2^8 - 3*T1*T2^9 - 
     9*T1^2*T2^9 - 18*T1^3*T2^9 - 76*T1^4*T2^9 - 47*T1^5*T2^9 + 
     72*T1^6*T2^9 - 422*T1^7*T2^9 + 132*T1^8*T2^9 + 132*T1^9*T2^9 - 
     422*T1^10*T2^9 + 72*T1^11*T2^9 - 47*T1^12*T2^9 - 76*T1^13*T2^9 - 
     18*T1^14*T2^9 - 9*T1^15*T2^9 - 3*T1^16*T2^9 + 6*T1^2*T2^10 + 
     9*T1^3*T2^10 + 35*T1^4*T2^10 + 33*T1^5*T2^10 + T1^6*T2^10 + 
     72*T1^7*T2^10 + 318*T1^8*T2^10 - 422*T1^9*T2^10 + 318*T1^10*T2^10 + 
     72*T1^11*T2^10 + T1^12*T2^10 + 33*T1^13*T2^10 + 35*T1^14*T2^10 + 
     9*T1^15*T2^10 + 6*T1^16*T2^10 - 9*T1^3*T2^11 - 6*T1^4*T2^11 - 
     35*T1^5*T2^11 + 33*T1^6*T2^11 - 47*T1^7*T2^11 - 154*T1^8*T2^11 + 
     72*T1^9*T2^11 + 72*T1^10*T2^11 - 154*T1^11*T2^11 - 47*T1^12*T2^11 + 
     33*T1^13*T2^11 - 35*T1^14*T2^11 - 6*T1^15*T2^11 - 9*T1^16*T2^11 + 
     11*T1^4*T2^12 - 6*T1^5*T2^12 + 35*T1^6*T2^12 - 76*T1^7*T2^12 + 
     147*T1^8*T2^12 - 47*T1^9*T2^12 + T1^10*T2^12 - 47*T1^11*T2^12 + 
     147*T1^12*T2^12 - 76*T1^13*T2^12 + 35*T1^14*T2^12 - 6*T1^15*T2^12 + 
     11*T1^16*T2^12 - 9*T1^5*T2^13 + 9*T1^6*T2^13 - 18*T1^7*T2^13 + 
     36*T1^8*T2^13 - 76*T1^9*T2^13 + 33*T1^10*T2^13 + 33*T1^11*T2^13 - 
     76*T1^12*T2^13 + 36*T1^13*T2^13 - 18*T1^14*T2^13 + 9*T1^15*T2^13 - 
     9*T1^16*T2^13 + 6*T1^6*T2^14 - 9*T1^7*T2^14 + 13*T1^8*T2^14 - 
     18*T1^9*T2^14 + 35*T1^10*T2^14 - 35*T1^11*T2^14 + 35*T1^12*T2^14 - 
     18*T1^13*T2^14 + 13*T1^14*T2^14 - 9*T1^15*T2^14 + 6*T1^16*T2^14 - 
     3*T1^7*T2^15 + 6*T1^8*T2^15 - 9*T1^9*T2^15 + 9*T1^10*T2^15 - 
     6*T1^11*T2^15 - 6*T1^12*T2^15 + 9*T1^13*T2^15 - 9*T1^14*T2^15 + 
     6*T1^15*T2^15 - 3*T1^16*T2^15 + T1^8*T2^16 - 3*T1^9*T2^16 + 
     6*T1^10*T2^16 - 9*T1^11*T2^16 + 11*T1^12*T2^16 - 9*T1^13*T2^16 + 
     6*T1^14*T2^16 - 3*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 790] -> 
  {(4 - 16*T + 32*T^2 - 39*T^3 + 32*T^4 - 16*T^5 + 4*T^6)/T^3, 
   (64 - 256*T1 + 508*T1^2 - 616*T1^3 + 508*T1^4 - 256*T1^5 + 64*T1^6 - 
     256*T2 + 768*T1*T2 - 1010*T1^2*T2 + 434*T1^3*T2 + 434*T1^4*T2 - 
     1010*T1^5*T2 + 768*T1^6*T2 - 256*T1^7*T2 + 508*T2^2 - 1010*T1*T2^2 + 
     384*T1^2*T2^2 + 1445*T1^3*T2^2 - 2166*T1^4*T2^2 + 1445*T1^5*T2^2 + 
     384*T1^6*T2^2 - 1010*T1^7*T2^2 + 508*T1^8*T2^2 - 616*T2^3 + 
     434*T1*T2^3 + 1445*T1^2*T2^3 - 3298*T1^3*T2^3 + 1448*T1^4*T2^3 + 
     1448*T1^5*T2^3 - 3298*T1^6*T2^3 + 1445*T1^7*T2^3 + 434*T1^8*T2^3 - 
     616*T1^9*T2^3 + 508*T2^4 + 434*T1*T2^4 - 2166*T1^2*T2^4 + 
     1448*T1^3*T2^4 + 3604*T1^4*T2^4 - 5634*T1^5*T2^4 + 3604*T1^6*T2^4 + 
     1448*T1^7*T2^4 - 2166*T1^8*T2^4 + 434*T1^9*T2^4 + 508*T1^10*T2^4 - 
     256*T2^5 - 1010*T1*T2^5 + 1445*T1^2*T2^5 + 1448*T1^3*T2^5 - 
     5634*T1^4*T2^5 + 2656*T1^5*T2^5 + 2656*T1^6*T2^5 - 5634*T1^7*T2^5 + 
     1448*T1^8*T2^5 + 1445*T1^9*T2^5 - 1010*T1^10*T2^5 - 256*T1^11*T2^5 + 
     64*T2^6 + 768*T1*T2^6 + 384*T1^2*T2^6 - 3298*T1^3*T2^6 + 
     3604*T1^4*T2^6 + 2656*T1^5*T2^6 - 5400*T1^6*T2^6 + 2656*T1^7*T2^6 + 
     3604*T1^8*T2^6 - 3298*T1^9*T2^6 + 384*T1^10*T2^6 + 768*T1^11*T2^6 + 
     64*T1^12*T2^6 - 256*T1*T2^7 - 1010*T1^2*T2^7 + 1445*T1^3*T2^7 + 
     1448*T1^4*T2^7 - 5634*T1^5*T2^7 + 2656*T1^6*T2^7 + 2656*T1^7*T2^7 - 
     5634*T1^8*T2^7 + 1448*T1^9*T2^7 + 1445*T1^10*T2^7 - 1010*T1^11*T2^7 - 
     256*T1^12*T2^7 + 508*T1^2*T2^8 + 434*T1^3*T2^8 - 2166*T1^4*T2^8 + 
     1448*T1^5*T2^8 + 3604*T1^6*T2^8 - 5634*T1^7*T2^8 + 3604*T1^8*T2^8 + 
     1448*T1^9*T2^8 - 2166*T1^10*T2^8 + 434*T1^11*T2^8 + 508*T1^12*T2^8 - 
     616*T1^3*T2^9 + 434*T1^4*T2^9 + 1445*T1^5*T2^9 - 3298*T1^6*T2^9 + 
     1448*T1^7*T2^9 + 1448*T1^8*T2^9 - 3298*T1^9*T2^9 + 1445*T1^10*T2^9 + 
     434*T1^11*T2^9 - 616*T1^12*T2^9 + 508*T1^4*T2^10 - 1010*T1^5*T2^10 + 
     384*T1^6*T2^10 + 1445*T1^7*T2^10 - 2166*T1^8*T2^10 + 1445*T1^9*T2^10 + 
     384*T1^10*T2^10 - 1010*T1^11*T2^10 + 508*T1^12*T2^10 - 256*T1^5*T2^11 + 
     768*T1^6*T2^11 - 1010*T1^7*T2^11 + 434*T1^8*T2^11 + 434*T1^9*T2^11 - 
     1010*T1^10*T2^11 + 768*T1^11*T2^11 - 256*T1^12*T2^11 + 64*T1^6*T2^12 - 
     256*T1^7*T2^12 + 508*T1^8*T2^12 - 616*T1^9*T2^12 + 508*T1^10*T2^12 - 
     256*T1^11*T2^12 + 64*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 791] -> 
  {(3 - 9*T + 13*T^2 - 13*T^3 + 13*T^4 - 9*T^5 + 3*T^6)/T^3, 
   -((18 - 54*T1 + 76*T1^2 - 76*T1^3 + 76*T1^4 - 54*T1^5 + 18*T1^6 - 54*T2 + 
      108*T1*T2 - 66*T1^2*T2 - 66*T1^5*T2 + 108*T1^6*T2 - 54*T1^7*T2 + 
      76*T2^2 - 66*T1*T2^2 - 114*T1^2*T2^2 + 214*T1^3*T2^2 - 158*T1^4*T2^2 + 
      214*T1^5*T2^2 - 114*T1^6*T2^2 - 66*T1^7*T2^2 + 76*T1^8*T2^2 - 76*T2^3 + 
      214*T1^2*T2^3 - 194*T1^3*T2^3 + 16*T1^4*T2^3 + 16*T1^5*T2^3 - 
      194*T1^6*T2^3 + 214*T1^7*T2^3 - 76*T1^9*T2^3 + 76*T2^4 - 
      158*T1^2*T2^4 + 16*T1^3*T2^4 + 175*T1^4*T2^4 - 187*T1^5*T2^4 + 
      175*T1^6*T2^4 + 16*T1^7*T2^4 - 158*T1^8*T2^4 + 76*T1^10*T2^4 - 
      54*T2^5 - 66*T1*T2^5 + 214*T1^2*T2^5 + 16*T1^3*T2^5 - 187*T1^4*T2^5 + 
      108*T1^5*T2^5 + 108*T1^6*T2^5 - 187*T1^7*T2^5 + 16*T1^8*T2^5 + 
      214*T1^9*T2^5 - 66*T1^10*T2^5 - 54*T1^11*T2^5 + 18*T2^6 + 108*T1*T2^6 - 
      114*T1^2*T2^6 - 194*T1^3*T2^6 + 175*T1^4*T2^6 + 108*T1^5*T2^6 - 
      312*T1^6*T2^6 + 108*T1^7*T2^6 + 175*T1^8*T2^6 - 194*T1^9*T2^6 - 
      114*T1^10*T2^6 + 108*T1^11*T2^6 + 18*T1^12*T2^6 - 54*T1*T2^7 - 
      66*T1^2*T2^7 + 214*T1^3*T2^7 + 16*T1^4*T2^7 - 187*T1^5*T2^7 + 
      108*T1^6*T2^7 + 108*T1^7*T2^7 - 187*T1^8*T2^7 + 16*T1^9*T2^7 + 
      214*T1^10*T2^7 - 66*T1^11*T2^7 - 54*T1^12*T2^7 + 76*T1^2*T2^8 - 
      158*T1^4*T2^8 + 16*T1^5*T2^8 + 175*T1^6*T2^8 - 187*T1^7*T2^8 + 
      175*T1^8*T2^8 + 16*T1^9*T2^8 - 158*T1^10*T2^8 + 76*T1^12*T2^8 - 
      76*T1^3*T2^9 + 214*T1^5*T2^9 - 194*T1^6*T2^9 + 16*T1^7*T2^9 + 
      16*T1^8*T2^9 - 194*T1^9*T2^9 + 214*T1^10*T2^9 - 76*T1^12*T2^9 + 
      76*T1^4*T2^10 - 66*T1^5*T2^10 - 114*T1^6*T2^10 + 214*T1^7*T2^10 - 
      158*T1^8*T2^10 + 214*T1^9*T2^10 - 114*T1^10*T2^10 - 66*T1^11*T2^10 + 
      76*T1^12*T2^10 - 54*T1^5*T2^11 + 108*T1^6*T2^11 - 66*T1^7*T2^11 - 
      66*T1^10*T2^11 + 108*T1^11*T2^11 - 54*T1^12*T2^11 + 18*T1^6*T2^12 - 
      54*T1^7*T2^12 + 76*T1^8*T2^12 - 76*T1^9*T2^12 + 76*T1^10*T2^12 - 
      54*T1^11*T2^12 + 18*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 792] -> {(6 - 21*T + 31*T^2 - 21*T^3 + 6*T^4)/T^2, 
   (45 - 171*T1 + 263*T1^2 - 171*T1^3 + 45*T1^4 - 171*T2 + 468*T1*T2 - 
     340*T1^2*T2 - 340*T1^3*T2 + 468*T1^4*T2 - 171*T1^5*T2 + 263*T2^2 - 
     340*T1*T2^2 - 584*T1^2*T2^2 + 1620*T1^3*T2^2 - 584*T1^4*T2^2 - 
     340*T1^5*T2^2 + 263*T1^6*T2^2 - 171*T2^3 - 340*T1*T2^3 + 
     1620*T1^2*T2^3 - 1406*T1^3*T2^3 - 1406*T1^4*T2^3 + 1620*T1^5*T2^3 - 
     340*T1^6*T2^3 - 171*T1^7*T2^3 + 45*T2^4 + 468*T1*T2^4 - 584*T1^2*T2^4 - 
     1406*T1^3*T2^4 + 3696*T1^4*T2^4 - 1406*T1^5*T2^4 - 584*T1^6*T2^4 + 
     468*T1^7*T2^4 + 45*T1^8*T2^4 - 171*T1*T2^5 - 340*T1^2*T2^5 + 
     1620*T1^3*T2^5 - 1406*T1^4*T2^5 - 1406*T1^5*T2^5 + 1620*T1^6*T2^5 - 
     340*T1^7*T2^5 - 171*T1^8*T2^5 + 263*T1^2*T2^6 - 340*T1^3*T2^6 - 
     584*T1^4*T2^6 + 1620*T1^5*T2^6 - 584*T1^6*T2^6 - 340*T1^7*T2^6 + 
     263*T1^8*T2^6 - 171*T1^3*T2^7 + 468*T1^4*T2^7 - 340*T1^5*T2^7 - 
     340*T1^6*T2^7 + 468*T1^7*T2^7 - 171*T1^8*T2^7 + 45*T1^4*T2^8 - 
     171*T1^5*T2^8 + 263*T1^6*T2^8 - 171*T1^7*T2^8 + 45*T1^8*T2^8)/
    (T1^4*T2^4)}, 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, 
   -((6 - 34*T1 + 76*T1^2 - 98*T1^3 + 76*T1^4 - 34*T1^5 + 6*T1^6 - 34*T2 + 
      162*T1*T2 - 252*T1^2*T2 + 134*T1^3*T2 + 134*T1^4*T2 - 252*T1^5*T2 + 
      162*T1^6*T2 - 34*T1^7*T2 + 76*T2^2 - 252*T1*T2^2 - 37*T1^2*T2^2 + 
      930*T1^3*T2^2 - 1513*T1^4*T2^2 + 930*T1^5*T2^2 - 37*T1^6*T2^2 - 
      252*T1^7*T2^2 + 76*T1^8*T2^2 - 98*T2^3 + 134*T1*T2^3 + 930*T1^2*T2^3 - 
      2290*T1^3*T2^3 + 1401*T1^4*T2^3 + 1401*T1^5*T2^3 - 2290*T1^6*T2^3 + 
      930*T1^7*T2^3 + 134*T1^8*T2^3 - 98*T1^9*T2^3 + 76*T2^4 + 134*T1*T2^4 - 
      1513*T1^2*T2^4 + 1401*T1^3*T2^4 + 2843*T1^4*T2^4 - 6023*T1^5*T2^4 + 
      2843*T1^6*T2^4 + 1401*T1^7*T2^4 - 1513*T1^8*T2^4 + 134*T1^9*T2^4 + 
      76*T1^10*T2^4 - 34*T2^5 - 252*T1*T2^5 + 930*T1^2*T2^5 + 
      1401*T1^3*T2^5 - 6023*T1^4*T2^5 + 3986*T1^5*T2^5 + 3986*T1^6*T2^5 - 
      6023*T1^7*T2^5 + 1401*T1^8*T2^5 + 930*T1^9*T2^5 - 252*T1^10*T2^5 - 
      34*T1^11*T2^5 + 6*T2^6 + 162*T1*T2^6 - 37*T1^2*T2^6 - 2290*T1^3*T2^6 + 
      2843*T1^4*T2^6 + 3986*T1^5*T2^6 - 9276*T1^6*T2^6 + 3986*T1^7*T2^6 + 
      2843*T1^8*T2^6 - 2290*T1^9*T2^6 - 37*T1^10*T2^6 + 162*T1^11*T2^6 + 
      6*T1^12*T2^6 - 34*T1*T2^7 - 252*T1^2*T2^7 + 930*T1^3*T2^7 + 
      1401*T1^4*T2^7 - 6023*T1^5*T2^7 + 3986*T1^6*T2^7 + 3986*T1^7*T2^7 - 
      6023*T1^8*T2^7 + 1401*T1^9*T2^7 + 930*T1^10*T2^7 - 252*T1^11*T2^7 - 
      34*T1^12*T2^7 + 76*T1^2*T2^8 + 134*T1^3*T2^8 - 1513*T1^4*T2^8 + 
      1401*T1^5*T2^8 + 2843*T1^6*T2^8 - 6023*T1^7*T2^8 + 2843*T1^8*T2^8 + 
      1401*T1^9*T2^8 - 1513*T1^10*T2^8 + 134*T1^11*T2^8 + 76*T1^12*T2^8 - 
      98*T1^3*T2^9 + 134*T1^4*T2^9 + 930*T1^5*T2^9 - 2290*T1^6*T2^9 + 
      1401*T1^7*T2^9 + 1401*T1^8*T2^9 - 2290*T1^9*T2^9 + 930*T1^10*T2^9 + 
      134*T1^11*T2^9 - 98*T1^12*T2^9 + 76*T1^4*T2^10 - 252*T1^5*T2^10 - 
      37*T1^6*T2^10 + 930*T1^7*T2^10 - 1513*T1^8*T2^10 + 930*T1^9*T2^10 - 
      37*T1^10*T2^10 - 252*T1^11*T2^10 + 76*T1^12*T2^10 - 34*T1^5*T2^11 + 
      162*T1^6*T2^11 - 252*T1^7*T2^11 + 134*T1^8*T2^11 + 134*T1^9*T2^11 - 
      252*T1^10*T2^11 + 162*T1^11*T2^11 - 34*T1^12*T2^11 + 6*T1^6*T2^12 - 
      34*T1^7*T2^12 + 76*T1^8*T2^12 - 98*T1^9*T2^12 + 76*T1^10*T2^12 - 
      34*T1^11*T2^12 + 6*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), -((25 - 87*T1 + 148*T1^2 - 197*T1^3 + 209*T1^4 - 197*T1^5 + 
      148*T1^6 - 87*T1^7 + 25*T1^8 - 87*T2 + 216*T1*T2 - 213*T1^2*T2 + 
      171*T1^3*T2 - 42*T1^4*T2 - 42*T1^5*T2 + 171*T1^6*T2 - 213*T1^7*T2 + 
      216*T1^8*T2 - 87*T1^9*T2 + 148*T2^2 - 213*T1*T2^2 - 42*T1^2*T2^2 + 
      160*T1^3*T2^2 - 343*T1^4*T2^2 + 282*T1^5*T2^2 - 343*T1^6*T2^2 + 
      160*T1^7*T2^2 - 42*T1^8*T2^2 - 213*T1^9*T2^2 + 148*T1^10*T2^2 - 
      197*T2^3 + 171*T1*T2^3 + 160*T1^2*T2^3 - 22*T1^3*T2^3 + 129*T1^4*T2^3 + 
      95*T1^5*T2^3 + 95*T1^6*T2^3 + 129*T1^7*T2^3 - 22*T1^8*T2^3 + 
      160*T1^9*T2^3 + 171*T1^10*T2^3 - 197*T1^11*T2^3 + 209*T2^4 - 
      42*T1*T2^4 - 343*T1^2*T2^4 + 129*T1^3*T2^4 - 540*T1^4*T2^4 + 
      392*T1^5*T2^4 - 796*T1^6*T2^4 + 392*T1^7*T2^4 - 540*T1^8*T2^4 + 
      129*T1^9*T2^4 - 343*T1^10*T2^4 - 42*T1^11*T2^4 + 209*T1^12*T2^4 - 
      197*T2^5 - 42*T1*T2^5 + 282*T1^2*T2^5 + 95*T1^3*T2^5 + 392*T1^4*T2^5 + 
      44*T1^5*T2^5 + 302*T1^6*T2^5 + 302*T1^7*T2^5 + 44*T1^8*T2^5 + 
      392*T1^9*T2^5 + 95*T1^10*T2^5 + 282*T1^11*T2^5 - 42*T1^12*T2^5 - 
      197*T1^13*T2^5 + 148*T2^6 + 171*T1*T2^6 - 343*T1^2*T2^6 + 
      95*T1^3*T2^6 - 796*T1^4*T2^6 + 302*T1^5*T2^6 - 884*T1^6*T2^6 + 
      362*T1^7*T2^6 - 884*T1^8*T2^6 + 302*T1^9*T2^6 - 796*T1^10*T2^6 + 
      95*T1^11*T2^6 - 343*T1^12*T2^6 + 171*T1^13*T2^6 + 148*T1^14*T2^6 - 
      87*T2^7 - 213*T1*T2^7 + 160*T1^2*T2^7 + 129*T1^3*T2^7 + 392*T1^4*T2^7 + 
      302*T1^5*T2^7 + 362*T1^6*T2^7 + 246*T1^7*T2^7 + 246*T1^8*T2^7 + 
      362*T1^9*T2^7 + 302*T1^10*T2^7 + 392*T1^11*T2^7 + 129*T1^12*T2^7 + 
      160*T1^13*T2^7 - 213*T1^14*T2^7 - 87*T1^15*T2^7 + 25*T2^8 + 
      216*T1*T2^8 - 42*T1^2*T2^8 - 22*T1^3*T2^8 - 540*T1^4*T2^8 + 
      44*T1^5*T2^8 - 884*T1^6*T2^8 + 246*T1^7*T2^8 - 780*T1^8*T2^8 + 
      246*T1^9*T2^8 - 884*T1^10*T2^8 + 44*T1^11*T2^8 - 540*T1^12*T2^8 - 
      22*T1^13*T2^8 - 42*T1^14*T2^8 + 216*T1^15*T2^8 + 25*T1^16*T2^8 - 
      87*T1*T2^9 - 213*T1^2*T2^9 + 160*T1^3*T2^9 + 129*T1^4*T2^9 + 
      392*T1^5*T2^9 + 302*T1^6*T2^9 + 362*T1^7*T2^9 + 246*T1^8*T2^9 + 
      246*T1^9*T2^9 + 362*T1^10*T2^9 + 302*T1^11*T2^9 + 392*T1^12*T2^9 + 
      129*T1^13*T2^9 + 160*T1^14*T2^9 - 213*T1^15*T2^9 - 87*T1^16*T2^9 + 
      148*T1^2*T2^10 + 171*T1^3*T2^10 - 343*T1^4*T2^10 + 95*T1^5*T2^10 - 
      796*T1^6*T2^10 + 302*T1^7*T2^10 - 884*T1^8*T2^10 + 362*T1^9*T2^10 - 
      884*T1^10*T2^10 + 302*T1^11*T2^10 - 796*T1^12*T2^10 + 95*T1^13*T2^10 - 
      343*T1^14*T2^10 + 171*T1^15*T2^10 + 148*T1^16*T2^10 - 197*T1^3*T2^11 - 
      42*T1^4*T2^11 + 282*T1^5*T2^11 + 95*T1^6*T2^11 + 392*T1^7*T2^11 + 
      44*T1^8*T2^11 + 302*T1^9*T2^11 + 302*T1^10*T2^11 + 44*T1^11*T2^11 + 
      392*T1^12*T2^11 + 95*T1^13*T2^11 + 282*T1^14*T2^11 - 42*T1^15*T2^11 - 
      197*T1^16*T2^11 + 209*T1^4*T2^12 - 42*T1^5*T2^12 - 343*T1^6*T2^12 + 
      129*T1^7*T2^12 - 540*T1^8*T2^12 + 392*T1^9*T2^12 - 796*T1^10*T2^12 + 
      392*T1^11*T2^12 - 540*T1^12*T2^12 + 129*T1^13*T2^12 - 343*T1^14*T2^12 - 
      42*T1^15*T2^12 + 209*T1^16*T2^12 - 197*T1^5*T2^13 + 171*T1^6*T2^13 + 
      160*T1^7*T2^13 - 22*T1^8*T2^13 + 129*T1^9*T2^13 + 95*T1^10*T2^13 + 
      95*T1^11*T2^13 + 129*T1^12*T2^13 - 22*T1^13*T2^13 + 160*T1^14*T2^13 + 
      171*T1^15*T2^13 - 197*T1^16*T2^13 + 148*T1^6*T2^14 - 213*T1^7*T2^14 - 
      42*T1^8*T2^14 + 160*T1^9*T2^14 - 343*T1^10*T2^14 + 282*T1^11*T2^14 - 
      343*T1^12*T2^14 + 160*T1^13*T2^14 - 42*T1^14*T2^14 - 213*T1^15*T2^14 + 
      148*T1^16*T2^14 - 87*T1^7*T2^15 + 216*T1^8*T2^15 - 213*T1^9*T2^15 + 
      171*T1^10*T2^15 - 42*T1^11*T2^15 - 42*T1^12*T2^15 + 171*T1^13*T2^15 - 
      213*T1^14*T2^15 + 216*T1^15*T2^15 - 87*T1^16*T2^15 + 25*T1^8*T2^16 - 
      87*T1^9*T2^16 + 148*T1^10*T2^16 - 197*T1^11*T2^16 + 209*T1^12*T2^16 - 
      197*T1^13*T2^16 + 148*T1^14*T2^16 - 87*T1^15*T2^16 + 25*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 795] -> 
  {-((4 - 16*T + 30*T^2 - 37*T^3 + 30*T^4 - 16*T^5 + 4*T^6)/T^3), 
   -((144 - 568*T1 + 1052*T1^2 - 1296*T1^3 + 1052*T1^4 - 568*T1^5 + 
      144*T1^6 - 568*T2 + 1676*T1*T2 - 1918*T1^2*T2 + 966*T1^3*T2 + 
      966*T1^4*T2 - 1918*T1^5*T2 + 1676*T1^6*T2 - 568*T1^7*T2 + 1052*T2^2 - 
      1918*T1*T2^2 - 178*T1^2*T2^2 + 3085*T1^3*T2^2 - 5228*T1^4*T2^2 + 
      3085*T1^5*T2^2 - 178*T1^6*T2^2 - 1918*T1^7*T2^2 + 1052*T1^8*T2^2 - 
      1296*T2^3 + 966*T1*T2^3 + 3085*T1^2*T2^3 - 4428*T1^3*T2^3 + 
      3038*T1^4*T2^3 + 3038*T1^5*T2^3 - 4428*T1^6*T2^3 + 3085*T1^7*T2^3 + 
      966*T1^8*T2^3 - 1296*T1^9*T2^3 + 1052*T2^4 + 966*T1*T2^4 - 
      5228*T1^2*T2^4 + 3038*T1^3*T2^4 + 275*T1^4*T2^4 - 4987*T1^5*T2^4 + 
      275*T1^6*T2^4 + 3038*T1^7*T2^4 - 5228*T1^8*T2^4 + 966*T1^9*T2^4 + 
      1052*T1^10*T2^4 - 568*T2^5 - 1918*T1*T2^5 + 3085*T1^2*T2^5 + 
      3038*T1^3*T2^5 - 4987*T1^4*T2^5 + 4624*T1^5*T2^5 + 4624*T1^6*T2^5 - 
      4987*T1^7*T2^5 + 3038*T1^8*T2^5 + 3085*T1^9*T2^5 - 1918*T1^10*T2^5 - 
      568*T1^11*T2^5 + 144*T2^6 + 1676*T1*T2^6 - 178*T1^2*T2^6 - 
      4428*T1^3*T2^6 + 275*T1^4*T2^6 + 4624*T1^5*T2^6 - 11472*T1^6*T2^6 + 
      4624*T1^7*T2^6 + 275*T1^8*T2^6 - 4428*T1^9*T2^6 - 178*T1^10*T2^6 + 
      1676*T1^11*T2^6 + 144*T1^12*T2^6 - 568*T1*T2^7 - 1918*T1^2*T2^7 + 
      3085*T1^3*T2^7 + 3038*T1^4*T2^7 - 4987*T1^5*T2^7 + 4624*T1^6*T2^7 + 
      4624*T1^7*T2^7 - 4987*T1^8*T2^7 + 3038*T1^9*T2^7 + 3085*T1^10*T2^7 - 
      1918*T1^11*T2^7 - 568*T1^12*T2^7 + 1052*T1^2*T2^8 + 966*T1^3*T2^8 - 
      5228*T1^4*T2^8 + 3038*T1^5*T2^8 + 275*T1^6*T2^8 - 4987*T1^7*T2^8 + 
      275*T1^8*T2^8 + 3038*T1^9*T2^8 - 5228*T1^10*T2^8 + 966*T1^11*T2^8 + 
      1052*T1^12*T2^8 - 1296*T1^3*T2^9 + 966*T1^4*T2^9 + 3085*T1^5*T2^9 - 
      4428*T1^6*T2^9 + 3038*T1^7*T2^9 + 3038*T1^8*T2^9 - 4428*T1^9*T2^9 + 
      3085*T1^10*T2^9 + 966*T1^11*T2^9 - 1296*T1^12*T2^9 + 1052*T1^4*T2^10 - 
      1918*T1^5*T2^10 - 178*T1^6*T2^10 + 3085*T1^7*T2^10 - 5228*T1^8*T2^10 + 
      3085*T1^9*T2^10 - 178*T1^10*T2^10 - 1918*T1^11*T2^10 + 
      1052*T1^12*T2^10 - 568*T1^5*T2^11 + 1676*T1^6*T2^11 - 1918*T1^7*T2^11 + 
      966*T1^8*T2^11 + 966*T1^9*T2^11 - 1918*T1^10*T2^11 + 1676*T1^11*T2^11 - 
      568*T1^12*T2^11 + 144*T1^6*T2^12 - 568*T1^7*T2^12 + 1052*T1^8*T2^12 - 
      1296*T1^9*T2^12 + 1052*T1^10*T2^12 - 568*T1^11*T2^12 + 144*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, Alternating, 796] -> 
  {-((3 - 9*T + 11*T^2 - 11*T^3 + 11*T^4 - 9*T^5 + 3*T^6)/T^3), 
   -((63 - 189*T1 + 229*T1^2 - 229*T1^3 + 229*T1^4 - 189*T1^5 + 63*T1^6 - 
      189*T2 + 378*T1*T2 - 120*T1^2*T2 - 120*T1^5*T2 + 378*T1^6*T2 - 
      189*T1^7*T2 + 229*T2^2 - 120*T1*T2^2 - 663*T1^2*T2^2 + 619*T1^3*T2^2 - 
      491*T1^4*T2^2 + 619*T1^5*T2^2 - 663*T1^6*T2^2 - 120*T1^7*T2^2 + 
      229*T1^8*T2^2 - 229*T2^3 + 619*T1^2*T2^3 + 4*T1^3*T2^3 - 92*T1^4*T2^3 - 
      92*T1^5*T2^3 + 4*T1^6*T2^3 + 619*T1^7*T2^3 - 229*T1^9*T2^3 + 229*T2^4 - 
      491*T1^2*T2^4 - 92*T1^3*T2^4 - 223*T1^4*T2^4 + 355*T1^5*T2^4 - 
      223*T1^6*T2^4 - 92*T1^7*T2^4 - 491*T1^8*T2^4 + 229*T1^10*T2^4 - 
      189*T2^5 - 120*T1*T2^5 + 619*T1^2*T2^5 - 92*T1^3*T2^5 + 355*T1^4*T2^5 - 
      108*T1^5*T2^5 - 108*T1^6*T2^5 + 355*T1^7*T2^5 - 92*T1^8*T2^5 + 
      619*T1^9*T2^5 - 120*T1^10*T2^5 - 189*T1^11*T2^5 + 63*T2^6 + 
      378*T1*T2^6 - 663*T1^2*T2^6 + 4*T1^3*T2^6 - 223*T1^4*T2^6 - 
      108*T1^5*T2^6 + 120*T1^6*T2^6 - 108*T1^7*T2^6 - 223*T1^8*T2^6 + 
      4*T1^9*T2^6 - 663*T1^10*T2^6 + 378*T1^11*T2^6 + 63*T1^12*T2^6 - 
      189*T1*T2^7 - 120*T1^2*T2^7 + 619*T1^3*T2^7 - 92*T1^4*T2^7 + 
      355*T1^5*T2^7 - 108*T1^6*T2^7 - 108*T1^7*T2^7 + 355*T1^8*T2^7 - 
      92*T1^9*T2^7 + 619*T1^10*T2^7 - 120*T1^11*T2^7 - 189*T1^12*T2^7 + 
      229*T1^2*T2^8 - 491*T1^4*T2^8 - 92*T1^5*T2^8 - 223*T1^6*T2^8 + 
      355*T1^7*T2^8 - 223*T1^8*T2^8 - 92*T1^9*T2^8 - 491*T1^10*T2^8 + 
      229*T1^12*T2^8 - 229*T1^3*T2^9 + 619*T1^5*T2^9 + 4*T1^6*T2^9 - 
      92*T1^7*T2^9 - 92*T1^8*T2^9 + 4*T1^9*T2^9 + 619*T1^10*T2^9 - 
      229*T1^12*T2^9 + 229*T1^4*T2^10 - 120*T1^5*T2^10 - 663*T1^6*T2^10 + 
      619*T1^7*T2^10 - 491*T1^8*T2^10 + 619*T1^9*T2^10 - 663*T1^10*T2^10 - 
      120*T1^11*T2^10 + 229*T1^12*T2^10 - 189*T1^5*T2^11 + 378*T1^6*T2^11 - 
      120*T1^7*T2^11 - 120*T1^10*T2^11 + 378*T1^11*T2^11 - 189*T1^12*T2^11 + 
      63*T1^6*T2^12 - 189*T1^7*T2^12 + 229*T1^8*T2^12 - 229*T1^9*T2^12 + 
      229*T1^10*T2^12 - 189*T1^11*T2^12 + 63*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 797] -> {-((6 - 21*T + 29*T^2 - 21*T^3 + 6*T^4)/T^2), 
   -((315 - 1089*T1 + 1483*T1^2 - 1089*T1^3 + 315*T1^4 - 1089*T2 + 
      2682*T1*T2 - 1370*T1^2*T2 - 1370*T1^3*T2 + 2682*T1^4*T2 - 
      1089*T1^5*T2 + 1483*T2^2 - 1370*T1*T2^2 - 4645*T1^2*T2^2 + 
      7731*T1^3*T2^2 - 4645*T1^4*T2^2 - 1370*T1^5*T2^2 + 1483*T1^6*T2^2 - 
      1089*T2^3 - 1370*T1*T2^3 + 7731*T1^2*T2^3 - 4084*T1^3*T2^3 - 
      4084*T1^4*T2^3 + 7731*T1^5*T2^3 - 1370*T1^6*T2^3 - 1089*T1^7*T2^3 + 
      315*T2^4 + 2682*T1*T2^4 - 4645*T1^2*T2^4 - 4084*T1^3*T2^4 + 
      8616*T1^4*T2^4 - 4084*T1^5*T2^4 - 4645*T1^6*T2^4 + 2682*T1^7*T2^4 + 
      315*T1^8*T2^4 - 1089*T1*T2^5 - 1370*T1^2*T2^5 + 7731*T1^3*T2^5 - 
      4084*T1^4*T2^5 - 4084*T1^5*T2^5 + 7731*T1^6*T2^5 - 1370*T1^7*T2^5 - 
      1089*T1^8*T2^5 + 1483*T1^2*T2^6 - 1370*T1^3*T2^6 - 4645*T1^4*T2^6 + 
      7731*T1^5*T2^6 - 4645*T1^6*T2^6 - 1370*T1^7*T2^6 + 1483*T1^8*T2^6 - 
      1089*T1^3*T2^7 + 2682*T1^4*T2^7 - 1370*T1^5*T2^7 - 1370*T1^6*T2^7 + 
      2682*T1^7*T2^7 - 1089*T1^8*T2^7 + 315*T1^4*T2^8 - 1089*T1^5*T2^8 + 
      1483*T1^6*T2^8 - 1089*T1^7*T2^8 + 315*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, Alternating, 798] -> 
  {-(((1 - T + T^2)*(5 - 18*T + 25*T^2 - 18*T^3 + 5*T^4))/T^3), 
   -((270 - 1220*T1 + 2514*T1^2 - 3190*T1^3 + 2514*T1^4 - 1220*T1^5 + 
      270*T1^6 - 1220*T2 + 4304*T1*T2 - 5878*T1^2*T2 + 3070*T1^3*T2 + 
      3070*T1^4*T2 - 5878*T1^5*T2 + 4304*T1^6*T2 - 1220*T1^7*T2 + 2514*T2^2 - 
      5878*T1*T2^2 + 887*T1^2*T2^2 + 10982*T1^3*T2^2 - 19307*T1^4*T2^2 + 
      10982*T1^5*T2^2 + 887*T1^6*T2^2 - 5878*T1^7*T2^2 + 2514*T1^8*T2^2 - 
      3190*T2^3 + 3070*T1*T2^3 + 10982*T1^2*T2^3 - 21944*T1^3*T2^3 + 
      14117*T1^4*T2^3 + 14117*T1^5*T2^3 - 21944*T1^6*T2^3 + 10982*T1^7*T2^3 + 
      3070*T1^8*T2^3 - 3190*T1^9*T2^3 + 2514*T2^4 + 3070*T1*T2^4 - 
      19307*T1^2*T2^4 + 14117*T1^3*T2^4 + 12159*T1^4*T2^4 - 36595*T1^5*T2^4 + 
      12159*T1^6*T2^4 + 14117*T1^7*T2^4 - 19307*T1^8*T2^4 + 3070*T1^9*T2^4 + 
      2514*T1^10*T2^4 - 1220*T2^5 - 5878*T1*T2^5 + 10982*T1^2*T2^5 + 
      14117*T1^3*T2^5 - 36595*T1^4*T2^5 + 26856*T1^5*T2^5 + 26856*T1^6*T2^5 - 
      36595*T1^7*T2^5 + 14117*T1^8*T2^5 + 10982*T1^9*T2^5 - 5878*T1^10*T2^5 - 
      1220*T1^11*T2^5 + 270*T2^6 + 4304*T1*T2^6 + 887*T1^2*T2^6 - 
      21944*T1^3*T2^6 + 12159*T1^4*T2^6 + 26856*T1^5*T2^6 - 63660*T1^6*T2^6 + 
      26856*T1^7*T2^6 + 12159*T1^8*T2^6 - 21944*T1^9*T2^6 + 887*T1^10*T2^6 + 
      4304*T1^11*T2^6 + 270*T1^12*T2^6 - 1220*T1*T2^7 - 5878*T1^2*T2^7 + 
      10982*T1^3*T2^7 + 14117*T1^4*T2^7 - 36595*T1^5*T2^7 + 26856*T1^6*T2^7 + 
      26856*T1^7*T2^7 - 36595*T1^8*T2^7 + 14117*T1^9*T2^7 + 
      10982*T1^10*T2^7 - 5878*T1^11*T2^7 - 1220*T1^12*T2^7 + 2514*T1^2*T2^8 + 
      3070*T1^3*T2^8 - 19307*T1^4*T2^8 + 14117*T1^5*T2^8 + 12159*T1^6*T2^8 - 
      36595*T1^7*T2^8 + 12159*T1^8*T2^8 + 14117*T1^9*T2^8 - 
      19307*T1^10*T2^8 + 3070*T1^11*T2^8 + 2514*T1^12*T2^8 - 3190*T1^3*T2^9 + 
      3070*T1^4*T2^9 + 10982*T1^5*T2^9 - 21944*T1^6*T2^9 + 14117*T1^7*T2^9 + 
      14117*T1^8*T2^9 - 21944*T1^9*T2^9 + 10982*T1^10*T2^9 + 
      3070*T1^11*T2^9 - 3190*T1^12*T2^9 + 2514*T1^4*T2^10 - 5878*T1^5*T2^10 + 
      887*T1^6*T2^10 + 10982*T1^7*T2^10 - 19307*T1^8*T2^10 + 
      10982*T1^9*T2^10 + 887*T1^10*T2^10 - 5878*T1^11*T2^10 + 
      2514*T1^12*T2^10 - 1220*T1^5*T2^11 + 4304*T1^6*T2^11 - 
      5878*T1^7*T2^11 + 3070*T1^8*T2^11 + 3070*T1^9*T2^11 - 
      5878*T1^10*T2^11 + 4304*T1^11*T2^11 - 1220*T1^12*T2^11 + 
      270*T1^6*T2^12 - 1220*T1^7*T2^12 + 2514*T1^8*T2^12 - 3190*T1^9*T2^12 + 
      2514*T1^10*T2^12 - 1220*T1^11*T2^12 + 270*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 799] -> {((1 - 3*T + T^2)^2*(2 - 3*T + 2*T^2))/T^3, 
   (9 - 68*T1 + 190*T1^2 - 257*T1^3 + 190*T1^4 - 68*T1^5 + 9*T1^6 - 68*T2 + 
     446*T1*T2 - 919*T1^2*T2 + 503*T1^3*T2 + 503*T1^4*T2 - 919*T1^5*T2 + 
     446*T1^6*T2 - 68*T1^7*T2 + 190*T2^2 - 919*T1*T2^2 + 342*T1^2*T2^2 + 
     3796*T1^3*T2^2 - 6340*T1^4*T2^2 + 3796*T1^5*T2^2 + 342*T1^6*T2^2 - 
     919*T1^7*T2^2 + 190*T1^8*T2^2 - 257*T2^3 + 503*T1*T2^3 + 
     3796*T1^2*T2^3 - 11626*T1^3*T2^3 + 6733*T1^4*T2^3 + 6733*T1^5*T2^3 - 
     11626*T1^6*T2^3 + 3796*T1^7*T2^3 + 503*T1^8*T2^3 - 257*T1^9*T2^3 + 
     190*T2^4 + 503*T1*T2^4 - 6340*T1^2*T2^4 + 6733*T1^3*T2^4 + 
     16922*T1^4*T2^4 - 32100*T1^5*T2^4 + 16922*T1^6*T2^4 + 6733*T1^7*T2^4 - 
     6340*T1^8*T2^4 + 503*T1^9*T2^4 + 190*T1^10*T2^4 - 68*T2^5 - 
     919*T1*T2^5 + 3796*T1^2*T2^5 + 6733*T1^3*T2^5 - 32100*T1^4*T2^5 + 
     19422*T1^5*T2^5 + 19422*T1^6*T2^5 - 32100*T1^7*T2^5 + 6733*T1^8*T2^5 + 
     3796*T1^9*T2^5 - 919*T1^10*T2^5 - 68*T1^11*T2^5 + 9*T2^6 + 446*T1*T2^6 + 
     342*T1^2*T2^6 - 11626*T1^3*T2^6 + 16922*T1^4*T2^6 + 19422*T1^5*T2^6 - 
     43728*T1^6*T2^6 + 19422*T1^7*T2^6 + 16922*T1^8*T2^6 - 11626*T1^9*T2^6 + 
     342*T1^10*T2^6 + 446*T1^11*T2^6 + 9*T1^12*T2^6 - 68*T1*T2^7 - 
     919*T1^2*T2^7 + 3796*T1^3*T2^7 + 6733*T1^4*T2^7 - 32100*T1^5*T2^7 + 
     19422*T1^6*T2^7 + 19422*T1^7*T2^7 - 32100*T1^8*T2^7 + 6733*T1^9*T2^7 + 
     3796*T1^10*T2^7 - 919*T1^11*T2^7 - 68*T1^12*T2^7 + 190*T1^2*T2^8 + 
     503*T1^3*T2^8 - 6340*T1^4*T2^8 + 6733*T1^5*T2^8 + 16922*T1^6*T2^8 - 
     32100*T1^7*T2^8 + 16922*T1^8*T2^8 + 6733*T1^9*T2^8 - 6340*T1^10*T2^8 + 
     503*T1^11*T2^8 + 190*T1^12*T2^8 - 257*T1^3*T2^9 + 503*T1^4*T2^9 + 
     3796*T1^5*T2^9 - 11626*T1^6*T2^9 + 6733*T1^7*T2^9 + 6733*T1^8*T2^9 - 
     11626*T1^9*T2^9 + 3796*T1^10*T2^9 + 503*T1^11*T2^9 - 257*T1^12*T2^9 + 
     190*T1^4*T2^10 - 919*T1^5*T2^10 + 342*T1^6*T2^10 + 3796*T1^7*T2^10 - 
     6340*T1^8*T2^10 + 3796*T1^9*T2^10 + 342*T1^10*T2^10 - 919*T1^11*T2^10 + 
     190*T1^12*T2^10 - 68*T1^5*T2^11 + 446*T1^6*T2^11 - 919*T1^7*T2^11 + 
     503*T1^8*T2^11 + 503*T1^9*T2^11 - 919*T1^10*T2^11 + 446*T1^11*T2^11 - 
     68*T1^12*T2^11 + 9*T1^6*T2^12 - 68*T1^7*T2^12 + 190*T1^8*T2^12 - 
     257*T1^9*T2^12 + 190*T1^10*T2^12 - 68*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 800] -> 
  {-(((1 - T + T^2)*(3 - 8*T + 9*T^2 - 8*T^3 + 3*T^4))/T^3), 
   -((63 - 229*T1 + 412*T1^2 - 515*T1^3 + 412*T1^4 - 229*T1^5 + 63*T1^6 - 
      229*T2 + 604*T1*T2 - 667*T1^2*T2 + 375*T1^3*T2 + 375*T1^4*T2 - 
      667*T1^5*T2 + 604*T1^6*T2 - 229*T1^7*T2 + 412*T2^2 - 667*T1*T2^2 + 
      33*T1^2*T2^2 + 740*T1^3*T2^2 - 1611*T1^4*T2^2 + 740*T1^5*T2^2 + 
      33*T1^6*T2^2 - 667*T1^7*T2^2 + 412*T1^8*T2^2 - 515*T2^3 + 375*T1*T2^3 + 
      740*T1^2*T2^3 - 1000*T1^3*T2^3 + 1062*T1^4*T2^3 + 1062*T1^5*T2^3 - 
      1000*T1^6*T2^3 + 740*T1^7*T2^3 + 375*T1^8*T2^3 - 515*T1^9*T2^3 + 
      412*T2^4 + 375*T1*T2^4 - 1611*T1^2*T2^4 + 1062*T1^3*T2^4 - 
      781*T1^4*T2^4 - 1193*T1^5*T2^4 - 781*T1^6*T2^4 + 1062*T1^7*T2^4 - 
      1611*T1^8*T2^4 + 375*T1^9*T2^4 + 412*T1^10*T2^4 - 229*T2^5 - 
      667*T1*T2^5 + 740*T1^2*T2^5 + 1062*T1^3*T2^5 - 1193*T1^4*T2^5 + 
      1836*T1^5*T2^5 + 1836*T1^6*T2^5 - 1193*T1^7*T2^5 + 1062*T1^8*T2^5 + 
      740*T1^9*T2^5 - 667*T1^10*T2^5 - 229*T1^11*T2^5 + 63*T2^6 + 
      604*T1*T2^6 + 33*T1^2*T2^6 - 1000*T1^3*T2^6 - 781*T1^4*T2^6 + 
      1836*T1^5*T2^6 - 4932*T1^6*T2^6 + 1836*T1^7*T2^6 - 781*T1^8*T2^6 - 
      1000*T1^9*T2^6 + 33*T1^10*T2^6 + 604*T1^11*T2^6 + 63*T1^12*T2^6 - 
      229*T1*T2^7 - 667*T1^2*T2^7 + 740*T1^3*T2^7 + 1062*T1^4*T2^7 - 
      1193*T1^5*T2^7 + 1836*T1^6*T2^7 + 1836*T1^7*T2^7 - 1193*T1^8*T2^7 + 
      1062*T1^9*T2^7 + 740*T1^10*T2^7 - 667*T1^11*T2^7 - 229*T1^12*T2^7 + 
      412*T1^2*T2^8 + 375*T1^3*T2^8 - 1611*T1^4*T2^8 + 1062*T1^5*T2^8 - 
      781*T1^6*T2^8 - 1193*T1^7*T2^8 - 781*T1^8*T2^8 + 1062*T1^9*T2^8 - 
      1611*T1^10*T2^8 + 375*T1^11*T2^8 + 412*T1^12*T2^8 - 515*T1^3*T2^9 + 
      375*T1^4*T2^9 + 740*T1^5*T2^9 - 1000*T1^6*T2^9 + 1062*T1^7*T2^9 + 
      1062*T1^8*T2^9 - 1000*T1^9*T2^9 + 740*T1^10*T2^9 + 375*T1^11*T2^9 - 
      515*T1^12*T2^9 + 412*T1^4*T2^10 - 667*T1^5*T2^10 + 33*T1^6*T2^10 + 
      740*T1^7*T2^10 - 1611*T1^8*T2^10 + 740*T1^9*T2^10 + 33*T1^10*T2^10 - 
      667*T1^11*T2^10 + 412*T1^12*T2^10 - 229*T1^5*T2^11 + 604*T1^6*T2^11 - 
      667*T1^7*T2^11 + 375*T1^8*T2^11 + 375*T1^9*T2^11 - 667*T1^10*T2^11 + 
      604*T1^11*T2^11 - 229*T1^12*T2^11 + 63*T1^6*T2^12 - 229*T1^7*T2^12 + 
      412*T1^8*T2^12 - 515*T1^9*T2^12 + 412*T1^10*T2^12 - 229*T1^11*T2^12 + 
      63*T1^12*T2^12)/(T1^6*T2^6))}, 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)*
      (25 - 74*T1 + 109*T1^2 - 133*T1^3 + 109*T1^4 - 74*T1^5 + 25*T1^6 - 
       74*T2 + 146*T1*T2 - 106*T1^2*T2 + 72*T1^3*T2 + 72*T1^4*T2 - 
       106*T1^5*T2 + 146*T1^6*T2 - 74*T1^7*T2 + 109*T2^2 - 106*T1*T2^2 - 
       81*T1^2*T2^2 + 109*T1^3*T2^2 - 271*T1^4*T2^2 + 109*T1^5*T2^2 - 
       81*T1^6*T2^2 - 106*T1^7*T2^2 + 109*T1^8*T2^2 - 133*T2^3 + 72*T1*T2^3 + 
       109*T1^2*T2^3 + 24*T1^3*T2^3 + 129*T1^4*T2^3 + 129*T1^5*T2^3 + 
       24*T1^6*T2^3 + 109*T1^7*T2^3 + 72*T1^8*T2^3 - 133*T1^9*T2^3 + 
       109*T2^4 + 72*T1*T2^4 - 271*T1^2*T2^4 + 129*T1^3*T2^4 - 
       431*T1^4*T2^4 + 167*T1^5*T2^4 - 431*T1^6*T2^4 + 129*T1^7*T2^4 - 
       271*T1^8*T2^4 + 72*T1^9*T2^4 + 109*T1^10*T2^4 - 74*T2^5 - 
       106*T1*T2^5 + 109*T1^2*T2^5 + 129*T1^3*T2^5 + 167*T1^4*T2^5 + 
       166*T1^5*T2^5 + 166*T1^6*T2^5 + 167*T1^7*T2^5 + 129*T1^8*T2^5 + 
       109*T1^9*T2^5 - 106*T1^10*T2^5 - 74*T1^11*T2^5 + 25*T2^6 + 
       146*T1*T2^6 - 81*T1^2*T2^6 + 24*T1^3*T2^6 - 431*T1^4*T2^6 + 
       166*T1^5*T2^6 - 540*T1^6*T2^6 + 166*T1^7*T2^6 - 431*T1^8*T2^6 + 
       24*T1^9*T2^6 - 81*T1^10*T2^6 + 146*T1^11*T2^6 + 25*T1^12*T2^6 - 
       74*T1*T2^7 - 106*T1^2*T2^7 + 109*T1^3*T2^7 + 129*T1^4*T2^7 + 
       167*T1^5*T2^7 + 166*T1^6*T2^7 + 166*T1^7*T2^7 + 167*T1^8*T2^7 + 
       129*T1^9*T2^7 + 109*T1^10*T2^7 - 106*T1^11*T2^7 - 74*T1^12*T2^7 + 
       109*T1^2*T2^8 + 72*T1^3*T2^8 - 271*T1^4*T2^8 + 129*T1^5*T2^8 - 
       431*T1^6*T2^8 + 167*T1^7*T2^8 - 431*T1^8*T2^8 + 129*T1^9*T2^8 - 
       271*T1^10*T2^8 + 72*T1^11*T2^8 + 109*T1^12*T2^8 - 133*T1^3*T2^9 + 
       72*T1^4*T2^9 + 109*T1^5*T2^9 + 24*T1^6*T2^9 + 129*T1^7*T2^9 + 
       129*T1^8*T2^9 + 24*T1^9*T2^9 + 109*T1^10*T2^9 + 72*T1^11*T2^9 - 
       133*T1^12*T2^9 + 109*T1^4*T2^10 - 106*T1^5*T2^10 - 81*T1^6*T2^10 + 
       109*T1^7*T2^10 - 271*T1^8*T2^10 + 109*T1^9*T2^10 - 81*T1^10*T2^10 - 
       106*T1^11*T2^10 + 109*T1^12*T2^10 - 74*T1^5*T2^11 + 146*T1^6*T2^11 - 
       106*T1^7*T2^11 + 72*T1^8*T2^11 + 72*T1^9*T2^11 - 106*T1^10*T2^11 + 
       146*T1^11*T2^11 - 74*T1^12*T2^11 + 25*T1^6*T2^12 - 74*T1^7*T2^12 + 
       109*T1^8*T2^12 - 133*T1^9*T2^12 + 109*T1^10*T2^12 - 74*T1^11*T2^12 + 
       25*T1^12*T2^12))/(T1^8*T2^8))}, Knot[12, Alternating, 802] -> 
  {-((4 - 12*T + 15*T^2 - 12*T^3 + 4*T^4)/T^2), 
   (-10*(10 - 30*T1 + 37*T1^2 - 30*T1^3 + 10*T1^4 - 30*T2 + 60*T1*T2 - 
      21*T1^2*T2 - 21*T1^3*T2 + 60*T1^4*T2 - 30*T1^5*T2 + 37*T2^2 - 
      21*T1*T2^2 - 102*T1^2*T2^2 + 125*T1^3*T2^2 - 102*T1^4*T2^2 - 
      21*T1^5*T2^2 + 37*T1^6*T2^2 - 30*T2^3 - 21*T1*T2^3 + 125*T1^2*T2^3 - 
      36*T1^3*T2^3 - 36*T1^4*T2^3 + 125*T1^5*T2^3 - 21*T1^6*T2^3 - 
      30*T1^7*T2^3 + 10*T2^4 + 60*T1*T2^4 - 102*T1^2*T2^4 - 36*T1^3*T2^4 + 
      48*T1^4*T2^4 - 36*T1^5*T2^4 - 102*T1^6*T2^4 + 60*T1^7*T2^4 + 
      10*T1^8*T2^4 - 30*T1*T2^5 - 21*T1^2*T2^5 + 125*T1^3*T2^5 - 
      36*T1^4*T2^5 - 36*T1^5*T2^5 + 125*T1^6*T2^5 - 21*T1^7*T2^5 - 
      30*T1^8*T2^5 + 37*T1^2*T2^6 - 21*T1^3*T2^6 - 102*T1^4*T2^6 + 
      125*T1^5*T2^6 - 102*T1^6*T2^6 - 21*T1^7*T2^6 + 37*T1^8*T2^6 - 
      30*T1^3*T2^7 + 60*T1^4*T2^7 - 21*T1^5*T2^7 - 21*T1^6*T2^7 + 
      60*T1^7*T2^7 - 30*T1^8*T2^7 + 10*T1^4*T2^8 - 30*T1^5*T2^8 + 
      37*T1^6*T2^8 - 30*T1^7*T2^8 + 10*T1^8*T2^8))/(T1^4*T2^4)}, 
 Knot[12, Alternating, 803] -> {-((5 - 11*T + 5*T^2)/T), 
   (-10*(10 - 23*T1 + 10*T1^2 - 23*T2 + 30*T1*T2 + 30*T1^2*T2 - 23*T1^3*T2 + 
      10*T2^2 + 30*T1*T2^2 - 102*T1^2*T2^2 + 30*T1^3*T2^2 + 10*T1^4*T2^2 - 
      23*T1*T2^3 + 30*T1^2*T2^3 + 30*T1^3*T2^3 - 23*T1^4*T2^3 + 
      10*T1^2*T2^4 - 23*T1^3*T2^4 + 10*T1^4*T2^4))/(T1^2*T2^2)}, 
 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, (17 - 100*T1 + 260*T1^2 - 395*T1^3 + 445*T1^4 - 395*T1^5 + 
     260*T1^6 - 100*T1^7 + 17*T1^8 - 100*T2 + 492*T1*T2 - 959*T1^2*T2 + 
     826*T1^3*T2 - 311*T1^4*T2 - 311*T1^5*T2 + 826*T1^6*T2 - 959*T1^7*T2 + 
     492*T1^8*T2 - 100*T1^9*T2 + 260*T2^2 - 959*T1*T2^2 + 834*T1^2*T2^2 + 
     1416*T1^3*T2^2 - 3089*T1^4*T2^2 + 3646*T1^5*T2^2 - 3089*T1^6*T2^2 + 
     1416*T1^7*T2^2 + 834*T1^8*T2^2 - 959*T1^9*T2^2 + 260*T1^10*T2^2 - 
     395*T2^3 + 826*T1*T2^3 + 1416*T1^2*T2^3 - 5974*T1^3*T2^3 + 
     4969*T1^4*T2^3 - 1816*T1^5*T2^3 - 1816*T1^6*T2^3 + 4969*T1^7*T2^3 - 
     5974*T1^8*T2^3 + 1416*T1^9*T2^3 + 826*T1^10*T2^3 - 395*T1^11*T2^3 + 
     445*T2^4 - 311*T1*T2^4 - 3089*T1^2*T2^4 + 4969*T1^3*T2^4 + 
     4632*T1^4*T2^4 - 10504*T1^5*T2^4 + 12406*T1^6*T2^4 - 10504*T1^7*T2^4 + 
     4632*T1^8*T2^4 + 4969*T1^9*T2^4 - 3089*T1^10*T2^4 - 311*T1^11*T2^4 + 
     445*T1^12*T2^4 - 395*T2^5 - 311*T1*T2^5 + 3646*T1^2*T2^5 - 
     1816*T1^3*T2^5 - 10504*T1^4*T2^5 + 7916*T1^5*T2^5 - 2846*T1^6*T2^5 - 
     2846*T1^7*T2^5 + 7916*T1^8*T2^5 - 10504*T1^9*T2^5 - 1816*T1^10*T2^5 + 
     3646*T1^11*T2^5 - 311*T1^12*T2^5 - 395*T1^13*T2^5 + 260*T2^6 + 
     826*T1*T2^6 - 3089*T1^2*T2^6 - 1816*T1^3*T2^6 + 12406*T1^4*T2^6 - 
     2846*T1^5*T2^6 + 835*T1^6*T2^6 - 327*T1^7*T2^6 + 835*T1^8*T2^6 - 
     2846*T1^9*T2^6 + 12406*T1^10*T2^6 - 1816*T1^11*T2^6 - 3089*T1^12*T2^6 + 
     826*T1^13*T2^6 + 260*T1^14*T2^6 - 100*T2^7 - 959*T1*T2^7 + 
     1416*T1^2*T2^7 + 4969*T1^3*T2^7 - 10504*T1^4*T2^7 - 2846*T1^5*T2^7 - 
     327*T1^6*T2^7 + 324*T1^7*T2^7 + 324*T1^8*T2^7 - 327*T1^9*T2^7 - 
     2846*T1^10*T2^7 - 10504*T1^11*T2^7 + 4969*T1^12*T2^7 + 1416*T1^13*T2^7 - 
     959*T1^14*T2^7 - 100*T1^15*T2^7 + 17*T2^8 + 492*T1*T2^8 + 
     834*T1^2*T2^8 - 5974*T1^3*T2^8 + 4632*T1^4*T2^8 + 7916*T1^5*T2^8 + 
     835*T1^6*T2^8 + 324*T1^7*T2^8 - 888*T1^8*T2^8 + 324*T1^9*T2^8 + 
     835*T1^10*T2^8 + 7916*T1^11*T2^8 + 4632*T1^12*T2^8 - 5974*T1^13*T2^8 + 
     834*T1^14*T2^8 + 492*T1^15*T2^8 + 17*T1^16*T2^8 - 100*T1*T2^9 - 
     959*T1^2*T2^9 + 1416*T1^3*T2^9 + 4969*T1^4*T2^9 - 10504*T1^5*T2^9 - 
     2846*T1^6*T2^9 - 327*T1^7*T2^9 + 324*T1^8*T2^9 + 324*T1^9*T2^9 - 
     327*T1^10*T2^9 - 2846*T1^11*T2^9 - 10504*T1^12*T2^9 + 4969*T1^13*T2^9 + 
     1416*T1^14*T2^9 - 959*T1^15*T2^9 - 100*T1^16*T2^9 + 260*T1^2*T2^10 + 
     826*T1^3*T2^10 - 3089*T1^4*T2^10 - 1816*T1^5*T2^10 + 12406*T1^6*T2^10 - 
     2846*T1^7*T2^10 + 835*T1^8*T2^10 - 327*T1^9*T2^10 + 835*T1^10*T2^10 - 
     2846*T1^11*T2^10 + 12406*T1^12*T2^10 - 1816*T1^13*T2^10 - 
     3089*T1^14*T2^10 + 826*T1^15*T2^10 + 260*T1^16*T2^10 - 395*T1^3*T2^11 - 
     311*T1^4*T2^11 + 3646*T1^5*T2^11 - 1816*T1^6*T2^11 - 10504*T1^7*T2^11 + 
     7916*T1^8*T2^11 - 2846*T1^9*T2^11 - 2846*T1^10*T2^11 + 
     7916*T1^11*T2^11 - 10504*T1^12*T2^11 - 1816*T1^13*T2^11 + 
     3646*T1^14*T2^11 - 311*T1^15*T2^11 - 395*T1^16*T2^11 + 445*T1^4*T2^12 - 
     311*T1^5*T2^12 - 3089*T1^6*T2^12 + 4969*T1^7*T2^12 + 4632*T1^8*T2^12 - 
     10504*T1^9*T2^12 + 12406*T1^10*T2^12 - 10504*T1^11*T2^12 + 
     4632*T1^12*T2^12 + 4969*T1^13*T2^12 - 3089*T1^14*T2^12 - 
     311*T1^15*T2^12 + 445*T1^16*T2^12 - 395*T1^5*T2^13 + 826*T1^6*T2^13 + 
     1416*T1^7*T2^13 - 5974*T1^8*T2^13 + 4969*T1^9*T2^13 - 1816*T1^10*T2^13 - 
     1816*T1^11*T2^13 + 4969*T1^12*T2^13 - 5974*T1^13*T2^13 + 
     1416*T1^14*T2^13 + 826*T1^15*T2^13 - 395*T1^16*T2^13 + 260*T1^6*T2^14 - 
     959*T1^7*T2^14 + 834*T1^8*T2^14 + 1416*T1^9*T2^14 - 3089*T1^10*T2^14 + 
     3646*T1^11*T2^14 - 3089*T1^12*T2^14 + 1416*T1^13*T2^14 + 
     834*T1^14*T2^14 - 959*T1^15*T2^14 + 260*T1^16*T2^14 - 100*T1^7*T2^15 + 
     492*T1^8*T2^15 - 959*T1^9*T2^15 + 826*T1^10*T2^15 - 311*T1^11*T2^15 - 
     311*T1^12*T2^15 + 826*T1^13*T2^15 - 959*T1^14*T2^15 + 492*T1^15*T2^15 - 
     100*T1^16*T2^15 + 17*T1^8*T2^16 - 100*T1^9*T2^16 + 260*T1^10*T2^16 - 
     395*T1^11*T2^16 + 445*T1^12*T2^16 - 395*T1^13*T2^16 + 260*T1^14*T2^16 - 
     100*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8)}, 
 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), (2 - 10*T1 + 22*T1^2 - 34*T1^3 + 40*T1^4 - 
     42*T1^5 + 40*T1^6 - 34*T1^7 + 22*T1^8 - 10*T1^9 + 2*T1^10 - 10*T2 + 
     40*T1*T2 - 60*T1^2*T2 + 60*T1^3*T2 - 30*T1^4*T2 + 10*T1^5*T2 + 
     10*T1^6*T2 - 30*T1^7*T2 + 60*T1^8*T2 - 60*T1^9*T2 + 40*T1^10*T2 - 
     10*T1^11*T2 + 22*T2^2 - 60*T1*T2^2 + 13*T1^2*T2^2 + 71*T1^3*T2^2 - 
     179*T1^4*T2^2 + 181*T1^5*T2^2 - 189*T1^6*T2^2 + 181*T1^7*T2^2 - 
     179*T1^8*T2^2 + 71*T1^9*T2^2 + 13*T1^10*T2^2 - 60*T1^11*T2^2 + 
     22*T1^12*T2^2 - 34*T2^3 + 60*T1*T2^3 + 71*T1^2*T2^3 - 136*T1^3*T2^3 + 
     182*T1^4*T2^3 - 22*T1^5*T2^3 + 18*T1^6*T2^3 + 18*T1^7*T2^3 - 
     22*T1^8*T2^3 + 182*T1^9*T2^3 - 136*T1^10*T2^3 + 71*T1^11*T2^3 + 
     60*T1^12*T2^3 - 34*T1^13*T2^3 + 40*T2^4 - 30*T1*T2^4 - 179*T1^2*T2^4 + 
     182*T1^3*T2^4 - 254*T1^4*T2^4 + 91*T1^5*T2^4 - 290*T1^6*T2^4 + 
     270*T1^7*T2^4 - 290*T1^8*T2^4 + 91*T1^9*T2^4 - 254*T1^10*T2^4 + 
     182*T1^11*T2^4 - 179*T1^12*T2^4 - 30*T1^13*T2^4 + 40*T1^14*T2^4 - 
     42*T2^5 + 10*T1*T2^5 + 181*T1^2*T2^5 - 22*T1^3*T2^5 + 91*T1^4*T2^5 + 
     130*T1^5*T2^5 + 170*T1^6*T2^5 + 10*T1^7*T2^5 + 10*T1^8*T2^5 + 
     170*T1^9*T2^5 + 130*T1^10*T2^5 + 91*T1^11*T2^5 - 22*T1^12*T2^5 + 
     181*T1^13*T2^5 + 10*T1^14*T2^5 - 42*T1^15*T2^5 + 40*T2^6 + 10*T1*T2^6 - 
     189*T1^2*T2^6 + 18*T1^3*T2^6 - 290*T1^4*T2^6 + 170*T1^5*T2^6 - 
     623*T1^6*T2^6 + 334*T1^7*T2^6 - 465*T1^8*T2^6 + 334*T1^9*T2^6 - 
     623*T1^10*T2^6 + 170*T1^11*T2^6 - 290*T1^12*T2^6 + 18*T1^13*T2^6 - 
     189*T1^14*T2^6 + 10*T1^15*T2^6 + 40*T1^16*T2^6 - 34*T2^7 - 30*T1*T2^7 + 
     181*T1^2*T2^7 + 18*T1^3*T2^7 + 270*T1^4*T2^7 + 10*T1^5*T2^7 + 
     334*T1^6*T2^7 + 134*T1^7*T2^7 + 76*T1^8*T2^7 + 76*T1^9*T2^7 + 
     134*T1^10*T2^7 + 334*T1^11*T2^7 + 10*T1^12*T2^7 + 270*T1^13*T2^7 + 
     18*T1^14*T2^7 + 181*T1^15*T2^7 - 30*T1^16*T2^7 - 34*T1^17*T2^7 + 
     22*T2^8 + 60*T1*T2^8 - 179*T1^2*T2^8 - 22*T1^3*T2^8 - 290*T1^4*T2^8 + 
     10*T1^5*T2^8 - 465*T1^6*T2^8 + 76*T1^7*T2^8 - 435*T1^8*T2^8 + 
     265*T1^9*T2^8 - 435*T1^10*T2^8 + 76*T1^11*T2^8 - 465*T1^12*T2^8 + 
     10*T1^13*T2^8 - 290*T1^14*T2^8 - 22*T1^15*T2^8 - 179*T1^16*T2^8 + 
     60*T1^17*T2^8 + 22*T1^18*T2^8 - 10*T2^9 - 60*T1*T2^9 + 71*T1^2*T2^9 + 
     182*T1^3*T2^9 + 91*T1^4*T2^9 + 170*T1^5*T2^9 + 334*T1^6*T2^9 + 
     76*T1^7*T2^9 + 265*T1^8*T2^9 + 40*T1^9*T2^9 + 40*T1^10*T2^9 + 
     265*T1^11*T2^9 + 76*T1^12*T2^9 + 334*T1^13*T2^9 + 170*T1^14*T2^9 + 
     91*T1^15*T2^9 + 182*T1^16*T2^9 + 71*T1^17*T2^9 - 60*T1^18*T2^9 - 
     10*T1^19*T2^9 + 2*T2^10 + 40*T1*T2^10 + 13*T1^2*T2^10 - 136*T1^3*T2^10 - 
     254*T1^4*T2^10 + 130*T1^5*T2^10 - 623*T1^6*T2^10 + 134*T1^7*T2^10 - 
     435*T1^8*T2^10 + 40*T1^9*T2^10 - 180*T1^10*T2^10 + 40*T1^11*T2^10 - 
     435*T1^12*T2^10 + 134*T1^13*T2^10 - 623*T1^14*T2^10 + 130*T1^15*T2^10 - 
     254*T1^16*T2^10 - 136*T1^17*T2^10 + 13*T1^18*T2^10 + 40*T1^19*T2^10 + 
     2*T1^20*T2^10 - 10*T1*T2^11 - 60*T1^2*T2^11 + 71*T1^3*T2^11 + 
     182*T1^4*T2^11 + 91*T1^5*T2^11 + 170*T1^6*T2^11 + 334*T1^7*T2^11 + 
     76*T1^8*T2^11 + 265*T1^9*T2^11 + 40*T1^10*T2^11 + 40*T1^11*T2^11 + 
     265*T1^12*T2^11 + 76*T1^13*T2^11 + 334*T1^14*T2^11 + 170*T1^15*T2^11 + 
     91*T1^16*T2^11 + 182*T1^17*T2^11 + 71*T1^18*T2^11 - 60*T1^19*T2^11 - 
     10*T1^20*T2^11 + 22*T1^2*T2^12 + 60*T1^3*T2^12 - 179*T1^4*T2^12 - 
     22*T1^5*T2^12 - 290*T1^6*T2^12 + 10*T1^7*T2^12 - 465*T1^8*T2^12 + 
     76*T1^9*T2^12 - 435*T1^10*T2^12 + 265*T1^11*T2^12 - 435*T1^12*T2^12 + 
     76*T1^13*T2^12 - 465*T1^14*T2^12 + 10*T1^15*T2^12 - 290*T1^16*T2^12 - 
     22*T1^17*T2^12 - 179*T1^18*T2^12 + 60*T1^19*T2^12 + 22*T1^20*T2^12 - 
     34*T1^3*T2^13 - 30*T1^4*T2^13 + 181*T1^5*T2^13 + 18*T1^6*T2^13 + 
     270*T1^7*T2^13 + 10*T1^8*T2^13 + 334*T1^9*T2^13 + 134*T1^10*T2^13 + 
     76*T1^11*T2^13 + 76*T1^12*T2^13 + 134*T1^13*T2^13 + 334*T1^14*T2^13 + 
     10*T1^15*T2^13 + 270*T1^16*T2^13 + 18*T1^17*T2^13 + 181*T1^18*T2^13 - 
     30*T1^19*T2^13 - 34*T1^20*T2^13 + 40*T1^4*T2^14 + 10*T1^5*T2^14 - 
     189*T1^6*T2^14 + 18*T1^7*T2^14 - 290*T1^8*T2^14 + 170*T1^9*T2^14 - 
     623*T1^10*T2^14 + 334*T1^11*T2^14 - 465*T1^12*T2^14 + 334*T1^13*T2^14 - 
     623*T1^14*T2^14 + 170*T1^15*T2^14 - 290*T1^16*T2^14 + 18*T1^17*T2^14 - 
     189*T1^18*T2^14 + 10*T1^19*T2^14 + 40*T1^20*T2^14 - 42*T1^5*T2^15 + 
     10*T1^6*T2^15 + 181*T1^7*T2^15 - 22*T1^8*T2^15 + 91*T1^9*T2^15 + 
     130*T1^10*T2^15 + 170*T1^11*T2^15 + 10*T1^12*T2^15 + 10*T1^13*T2^15 + 
     170*T1^14*T2^15 + 130*T1^15*T2^15 + 91*T1^16*T2^15 - 22*T1^17*T2^15 + 
     181*T1^18*T2^15 + 10*T1^19*T2^15 - 42*T1^20*T2^15 + 40*T1^6*T2^16 - 
     30*T1^7*T2^16 - 179*T1^8*T2^16 + 182*T1^9*T2^16 - 254*T1^10*T2^16 + 
     91*T1^11*T2^16 - 290*T1^12*T2^16 + 270*T1^13*T2^16 - 290*T1^14*T2^16 + 
     91*T1^15*T2^16 - 254*T1^16*T2^16 + 182*T1^17*T2^16 - 179*T1^18*T2^16 - 
     30*T1^19*T2^16 + 40*T1^20*T2^16 - 34*T1^7*T2^17 + 60*T1^8*T2^17 + 
     71*T1^9*T2^17 - 136*T1^10*T2^17 + 182*T1^11*T2^17 - 22*T1^12*T2^17 + 
     18*T1^13*T2^17 + 18*T1^14*T2^17 - 22*T1^15*T2^17 + 182*T1^16*T2^17 - 
     136*T1^17*T2^17 + 71*T1^18*T2^17 + 60*T1^19*T2^17 - 34*T1^20*T2^17 + 
     22*T1^8*T2^18 - 60*T1^9*T2^18 + 13*T1^10*T2^18 + 71*T1^11*T2^18 - 
     179*T1^12*T2^18 + 181*T1^13*T2^18 - 189*T1^14*T2^18 + 181*T1^15*T2^18 - 
     179*T1^16*T2^18 + 71*T1^17*T2^18 + 13*T1^18*T2^18 - 60*T1^19*T2^18 + 
     22*T1^20*T2^18 - 10*T1^9*T2^19 + 40*T1^10*T2^19 - 60*T1^11*T2^19 + 
     60*T1^12*T2^19 - 30*T1^13*T2^19 + 10*T1^14*T2^19 + 10*T1^15*T2^19 - 
     30*T1^16*T2^19 + 60*T1^17*T2^19 - 60*T1^18*T2^19 + 40*T1^19*T2^19 - 
     10*T1^20*T2^19 + 2*T1^10*T2^20 - 10*T1^11*T2^20 + 22*T1^12*T2^20 - 
     34*T1^13*T2^20 + 40*T1^14*T2^20 - 42*T1^15*T2^20 + 40*T1^16*T2^20 - 
     34*T1^17*T2^20 + 22*T1^18*T2^20 - 10*T1^19*T2^20 + 2*T1^20*T2^20)/
    (T1^10*T2^10)}, 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), (9 - 49*T1 + 119*T1^2 - 193*T1^3 + 223*T1^4 - 193*T1^5 + 
     119*T1^6 - 49*T1^7 + 9*T1^8 - 49*T2 + 218*T1*T2 - 382*T1^2*T2 + 
     404*T1^3*T2 - 164*T1^4*T2 - 164*T1^5*T2 + 404*T1^6*T2 - 382*T1^7*T2 + 
     218*T1^8*T2 - 49*T1^9*T2 + 119*T2^2 - 382*T1*T2^2 + 234*T1^2*T2^2 + 
     370*T1^3*T2^2 - 1291*T1^4*T2^2 + 1628*T1^5*T2^2 - 1291*T1^6*T2^2 + 
     370*T1^7*T2^2 + 234*T1^8*T2^2 - 382*T1^9*T2^2 + 119*T1^10*T2^2 - 
     193*T2^3 + 404*T1*T2^3 + 370*T1^2*T2^3 - 1274*T1^3*T2^3 + 
     1857*T1^4*T2^3 - 727*T1^5*T2^3 - 727*T1^6*T2^3 + 1857*T1^7*T2^3 - 
     1274*T1^8*T2^3 + 370*T1^9*T2^3 + 404*T1^10*T2^3 - 193*T1^11*T2^3 + 
     223*T2^4 - 164*T1*T2^4 - 1291*T1^2*T2^4 + 1857*T1^3*T2^4 - 
     1742*T1^4*T2^4 - 357*T1^5*T2^4 + 916*T1^6*T2^4 - 357*T1^7*T2^4 - 
     1742*T1^8*T2^4 + 1857*T1^9*T2^4 - 1291*T1^10*T2^4 - 164*T1^11*T2^4 + 
     223*T1^12*T2^4 - 193*T2^5 - 164*T1*T2^5 + 1628*T1^2*T2^5 - 
     727*T1^3*T2^5 - 357*T1^4*T2^5 + 2624*T1^5*T2^5 - 981*T1^6*T2^5 - 
     981*T1^7*T2^5 + 2624*T1^8*T2^5 - 357*T1^9*T2^5 - 727*T1^10*T2^5 + 
     1628*T1^11*T2^5 - 164*T1^12*T2^5 - 193*T1^13*T2^5 + 119*T2^6 + 
     404*T1*T2^6 - 1291*T1^2*T2^6 - 727*T1^3*T2^6 + 916*T1^4*T2^6 - 
     981*T1^5*T2^6 - 3535*T1^6*T2^6 + 4821*T1^7*T2^6 - 3535*T1^8*T2^6 - 
     981*T1^9*T2^6 + 916*T1^10*T2^6 - 727*T1^11*T2^6 - 1291*T1^12*T2^6 + 
     404*T1^13*T2^6 + 119*T1^14*T2^6 - 49*T2^7 - 382*T1*T2^7 + 
     370*T1^2*T2^7 + 1857*T1^3*T2^7 - 357*T1^4*T2^7 - 981*T1^5*T2^7 + 
     4821*T1^6*T2^7 - 1952*T1^7*T2^7 - 1952*T1^8*T2^7 + 4821*T1^9*T2^7 - 
     981*T1^10*T2^7 - 357*T1^11*T2^7 + 1857*T1^12*T2^7 + 370*T1^13*T2^7 - 
     382*T1^14*T2^7 - 49*T1^15*T2^7 + 9*T2^8 + 218*T1*T2^8 + 234*T1^2*T2^8 - 
     1274*T1^3*T2^8 - 1742*T1^4*T2^8 + 2624*T1^5*T2^8 - 3535*T1^6*T2^8 - 
     1952*T1^7*T2^8 + 3708*T1^8*T2^8 - 1952*T1^9*T2^8 - 3535*T1^10*T2^8 + 
     2624*T1^11*T2^8 - 1742*T1^12*T2^8 - 1274*T1^13*T2^8 + 234*T1^14*T2^8 + 
     218*T1^15*T2^8 + 9*T1^16*T2^8 - 49*T1*T2^9 - 382*T1^2*T2^9 + 
     370*T1^3*T2^9 + 1857*T1^4*T2^9 - 357*T1^5*T2^9 - 981*T1^6*T2^9 + 
     4821*T1^7*T2^9 - 1952*T1^8*T2^9 - 1952*T1^9*T2^9 + 4821*T1^10*T2^9 - 
     981*T1^11*T2^9 - 357*T1^12*T2^9 + 1857*T1^13*T2^9 + 370*T1^14*T2^9 - 
     382*T1^15*T2^9 - 49*T1^16*T2^9 + 119*T1^2*T2^10 + 404*T1^3*T2^10 - 
     1291*T1^4*T2^10 - 727*T1^5*T2^10 + 916*T1^6*T2^10 - 981*T1^7*T2^10 - 
     3535*T1^8*T2^10 + 4821*T1^9*T2^10 - 3535*T1^10*T2^10 - 981*T1^11*T2^10 + 
     916*T1^12*T2^10 - 727*T1^13*T2^10 - 1291*T1^14*T2^10 + 404*T1^15*T2^10 + 
     119*T1^16*T2^10 - 193*T1^3*T2^11 - 164*T1^4*T2^11 + 1628*T1^5*T2^11 - 
     727*T1^6*T2^11 - 357*T1^7*T2^11 + 2624*T1^8*T2^11 - 981*T1^9*T2^11 - 
     981*T1^10*T2^11 + 2624*T1^11*T2^11 - 357*T1^12*T2^11 - 727*T1^13*T2^11 + 
     1628*T1^14*T2^11 - 164*T1^15*T2^11 - 193*T1^16*T2^11 + 223*T1^4*T2^12 - 
     164*T1^5*T2^12 - 1291*T1^6*T2^12 + 1857*T1^7*T2^12 - 1742*T1^8*T2^12 - 
     357*T1^9*T2^12 + 916*T1^10*T2^12 - 357*T1^11*T2^12 - 1742*T1^12*T2^12 + 
     1857*T1^13*T2^12 - 1291*T1^14*T2^12 - 164*T1^15*T2^12 + 
     223*T1^16*T2^12 - 193*T1^5*T2^13 + 404*T1^6*T2^13 + 370*T1^7*T2^13 - 
     1274*T1^8*T2^13 + 1857*T1^9*T2^13 - 727*T1^10*T2^13 - 727*T1^11*T2^13 + 
     1857*T1^12*T2^13 - 1274*T1^13*T2^13 + 370*T1^14*T2^13 + 
     404*T1^15*T2^13 - 193*T1^16*T2^13 + 119*T1^6*T2^14 - 382*T1^7*T2^14 + 
     234*T1^8*T2^14 + 370*T1^9*T2^14 - 1291*T1^10*T2^14 + 1628*T1^11*T2^14 - 
     1291*T1^12*T2^14 + 370*T1^13*T2^14 + 234*T1^14*T2^14 - 382*T1^15*T2^14 + 
     119*T1^16*T2^14 - 49*T1^7*T2^15 + 218*T1^8*T2^15 - 382*T1^9*T2^15 + 
     404*T1^10*T2^15 - 164*T1^11*T2^15 - 164*T1^12*T2^15 + 404*T1^13*T2^15 - 
     382*T1^14*T2^15 + 218*T1^15*T2^15 - 49*T1^16*T2^15 + 9*T1^8*T2^16 - 
     49*T1^9*T2^16 + 119*T1^10*T2^16 - 193*T1^11*T2^16 + 223*T1^12*T2^16 - 
     193*T1^13*T2^16 + 119*T1^14*T2^16 - 49*T1^15*T2^16 + 9*T1^16*T2^16)/
    (T1^8*T2^8)}, 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), 
   (9 - 49*T1 + 123*T1^2 - 205*T1^3 + 239*T1^4 - 205*T1^5 + 123*T1^6 - 
     49*T1^7 + 9*T1^8 - 49*T2 + 218*T1*T2 - 404*T1^2*T2 + 448*T1^3*T2 - 
     186*T1^4*T2 - 186*T1^5*T2 + 448*T1^6*T2 - 404*T1^7*T2 + 218*T1^8*T2 - 
     49*T1^9*T2 + 123*T2^2 - 404*T1*T2^2 + 350*T1^2*T2^2 + 203*T1^3*T2^2 - 
     1200*T1^4*T2^2 + 1578*T1^5*T2^2 - 1200*T1^6*T2^2 + 203*T1^7*T2^2 + 
     350*T1^8*T2^2 - 404*T1^9*T2^2 + 123*T1^10*T2^2 - 205*T2^3 + 
     448*T1*T2^3 + 203*T1^2*T2^3 - 1178*T1^3*T2^3 + 1981*T1^4*T2^3 - 
     784*T1^5*T2^3 - 784*T1^6*T2^3 + 1981*T1^7*T2^3 - 1178*T1^8*T2^3 + 
     203*T1^9*T2^3 + 448*T1^10*T2^3 - 205*T1^11*T2^3 + 239*T2^4 - 
     186*T1*T2^4 - 1200*T1^2*T2^4 + 1981*T1^3*T2^4 - 1997*T1^4*T2^4 - 
     530*T1^5*T2^4 + 1107*T1^6*T2^4 - 530*T1^7*T2^4 - 1997*T1^8*T2^4 + 
     1981*T1^9*T2^4 - 1200*T1^10*T2^4 - 186*T1^11*T2^4 + 239*T1^12*T2^4 - 
     205*T2^5 - 186*T1*T2^5 + 1578*T1^2*T2^5 - 784*T1^3*T2^5 - 
     530*T1^4*T2^5 + 3374*T1^5*T2^5 - 1071*T1^6*T2^5 - 1071*T1^7*T2^5 + 
     3374*T1^8*T2^5 - 530*T1^9*T2^5 - 784*T1^10*T2^5 + 1578*T1^11*T2^5 - 
     186*T1^12*T2^5 - 205*T1^13*T2^5 + 123*T2^6 + 448*T1*T2^6 - 
     1200*T1^2*T2^6 - 784*T1^3*T2^6 + 1107*T1^4*T2^6 - 1071*T1^5*T2^6 - 
     4971*T1^6*T2^6 + 5957*T1^7*T2^6 - 4971*T1^8*T2^6 - 1071*T1^9*T2^6 + 
     1107*T1^10*T2^6 - 784*T1^11*T2^6 - 1200*T1^12*T2^6 + 448*T1^13*T2^6 + 
     123*T1^14*T2^6 - 49*T2^7 - 404*T1*T2^7 + 203*T1^2*T2^7 + 
     1981*T1^3*T2^7 - 530*T1^4*T2^7 - 1071*T1^5*T2^7 + 5957*T1^6*T2^7 - 
     1748*T1^7*T2^7 - 1748*T1^8*T2^7 + 5957*T1^9*T2^7 - 1071*T1^10*T2^7 - 
     530*T1^11*T2^7 + 1981*T1^12*T2^7 + 203*T1^13*T2^7 - 404*T1^14*T2^7 - 
     49*T1^15*T2^7 + 9*T2^8 + 218*T1*T2^8 + 350*T1^2*T2^8 - 1178*T1^3*T2^8 - 
     1997*T1^4*T2^8 + 3374*T1^5*T2^8 - 4971*T1^6*T2^8 - 1748*T1^7*T2^8 + 
     2460*T1^8*T2^8 - 1748*T1^9*T2^8 - 4971*T1^10*T2^8 + 3374*T1^11*T2^8 - 
     1997*T1^12*T2^8 - 1178*T1^13*T2^8 + 350*T1^14*T2^8 + 218*T1^15*T2^8 + 
     9*T1^16*T2^8 - 49*T1*T2^9 - 404*T1^2*T2^9 + 203*T1^3*T2^9 + 
     1981*T1^4*T2^9 - 530*T1^5*T2^9 - 1071*T1^6*T2^9 + 5957*T1^7*T2^9 - 
     1748*T1^8*T2^9 - 1748*T1^9*T2^9 + 5957*T1^10*T2^9 - 1071*T1^11*T2^9 - 
     530*T1^12*T2^9 + 1981*T1^13*T2^9 + 203*T1^14*T2^9 - 404*T1^15*T2^9 - 
     49*T1^16*T2^9 + 123*T1^2*T2^10 + 448*T1^3*T2^10 - 1200*T1^4*T2^10 - 
     784*T1^5*T2^10 + 1107*T1^6*T2^10 - 1071*T1^7*T2^10 - 4971*T1^8*T2^10 + 
     5957*T1^9*T2^10 - 4971*T1^10*T2^10 - 1071*T1^11*T2^10 + 
     1107*T1^12*T2^10 - 784*T1^13*T2^10 - 1200*T1^14*T2^10 + 
     448*T1^15*T2^10 + 123*T1^16*T2^10 - 205*T1^3*T2^11 - 186*T1^4*T2^11 + 
     1578*T1^5*T2^11 - 784*T1^6*T2^11 - 530*T1^7*T2^11 + 3374*T1^8*T2^11 - 
     1071*T1^9*T2^11 - 1071*T1^10*T2^11 + 3374*T1^11*T2^11 - 
     530*T1^12*T2^11 - 784*T1^13*T2^11 + 1578*T1^14*T2^11 - 186*T1^15*T2^11 - 
     205*T1^16*T2^11 + 239*T1^4*T2^12 - 186*T1^5*T2^12 - 1200*T1^6*T2^12 + 
     1981*T1^7*T2^12 - 1997*T1^8*T2^12 - 530*T1^9*T2^12 + 1107*T1^10*T2^12 - 
     530*T1^11*T2^12 - 1997*T1^12*T2^12 + 1981*T1^13*T2^12 - 
     1200*T1^14*T2^12 - 186*T1^15*T2^12 + 239*T1^16*T2^12 - 205*T1^5*T2^13 + 
     448*T1^6*T2^13 + 203*T1^7*T2^13 - 1178*T1^8*T2^13 + 1981*T1^9*T2^13 - 
     784*T1^10*T2^13 - 784*T1^11*T2^13 + 1981*T1^12*T2^13 - 
     1178*T1^13*T2^13 + 203*T1^14*T2^13 + 448*T1^15*T2^13 - 205*T1^16*T2^13 + 
     123*T1^6*T2^14 - 404*T1^7*T2^14 + 350*T1^8*T2^14 + 203*T1^9*T2^14 - 
     1200*T1^10*T2^14 + 1578*T1^11*T2^14 - 1200*T1^12*T2^14 + 
     203*T1^13*T2^14 + 350*T1^14*T2^14 - 404*T1^15*T2^14 + 123*T1^16*T2^14 - 
     49*T1^7*T2^15 + 218*T1^8*T2^15 - 404*T1^9*T2^15 + 448*T1^10*T2^15 - 
     186*T1^11*T2^15 - 186*T1^12*T2^15 + 448*T1^13*T2^15 - 404*T1^14*T2^15 + 
     218*T1^15*T2^15 - 49*T1^16*T2^15 + 9*T1^8*T2^16 - 49*T1^9*T2^16 + 
     123*T1^10*T2^16 - 205*T1^11*T2^16 + 239*T1^12*T2^16 - 205*T1^13*T2^16 + 
     123*T1^14*T2^16 - 49*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 808] -> 
  {-(((1 - T + T^2)*(3 - 12*T + 17*T^2 - 12*T^3 + 3*T^4))/T^3), 
   (9 - 45*T1 + 94*T1^2 - 121*T1^3 + 94*T1^4 - 45*T1^5 + 9*T1^6 - 45*T2 + 
     180*T1*T2 - 245*T1^2*T2 + 135*T1^3*T2 + 135*T1^4*T2 - 245*T1^5*T2 + 
     180*T1^6*T2 - 45*T1^7*T2 + 94*T2^2 - 245*T1*T2^2 - 37*T1^2*T2^2 + 
     562*T1^3*T2^2 - 983*T1^4*T2^2 + 562*T1^5*T2^2 - 37*T1^6*T2^2 - 
     245*T1^7*T2^2 + 94*T1^8*T2^2 - 121*T2^3 + 135*T1*T2^3 + 562*T1^2*T2^3 - 
     850*T1^3*T2^3 + 631*T1^4*T2^3 + 631*T1^5*T2^3 - 850*T1^6*T2^3 + 
     562*T1^7*T2^3 + 135*T1^8*T2^3 - 121*T1^9*T2^3 + 94*T2^4 + 135*T1*T2^4 - 
     983*T1^2*T2^4 + 631*T1^3*T2^4 - 393*T1^4*T2^4 - 511*T1^5*T2^4 - 
     393*T1^6*T2^4 + 631*T1^7*T2^4 - 983*T1^8*T2^4 + 135*T1^9*T2^4 + 
     94*T1^10*T2^4 - 45*T2^5 - 245*T1*T2^5 + 562*T1^2*T2^5 + 631*T1^3*T2^5 - 
     511*T1^4*T2^5 + 824*T1^5*T2^5 + 824*T1^6*T2^5 - 511*T1^7*T2^5 + 
     631*T1^8*T2^5 + 562*T1^9*T2^5 - 245*T1^10*T2^5 - 45*T1^11*T2^5 + 
     9*T2^6 + 180*T1*T2^6 - 37*T1^2*T2^6 - 850*T1^3*T2^6 - 393*T1^4*T2^6 + 
     824*T1^5*T2^6 - 2292*T1^6*T2^6 + 824*T1^7*T2^6 - 393*T1^8*T2^6 - 
     850*T1^9*T2^6 - 37*T1^10*T2^6 + 180*T1^11*T2^6 + 9*T1^12*T2^6 - 
     45*T1*T2^7 - 245*T1^2*T2^7 + 562*T1^3*T2^7 + 631*T1^4*T2^7 - 
     511*T1^5*T2^7 + 824*T1^6*T2^7 + 824*T1^7*T2^7 - 511*T1^8*T2^7 + 
     631*T1^9*T2^7 + 562*T1^10*T2^7 - 245*T1^11*T2^7 - 45*T1^12*T2^7 + 
     94*T1^2*T2^8 + 135*T1^3*T2^8 - 983*T1^4*T2^8 + 631*T1^5*T2^8 - 
     393*T1^6*T2^8 - 511*T1^7*T2^8 - 393*T1^8*T2^8 + 631*T1^9*T2^8 - 
     983*T1^10*T2^8 + 135*T1^11*T2^8 + 94*T1^12*T2^8 - 121*T1^3*T2^9 + 
     135*T1^4*T2^9 + 562*T1^5*T2^9 - 850*T1^6*T2^9 + 631*T1^7*T2^9 + 
     631*T1^8*T2^9 - 850*T1^9*T2^9 + 562*T1^10*T2^9 + 135*T1^11*T2^9 - 
     121*T1^12*T2^9 + 94*T1^4*T2^10 - 245*T1^5*T2^10 - 37*T1^6*T2^10 + 
     562*T1^7*T2^10 - 983*T1^8*T2^10 + 562*T1^9*T2^10 - 37*T1^10*T2^10 - 
     245*T1^11*T2^10 + 94*T1^12*T2^10 - 45*T1^5*T2^11 + 180*T1^6*T2^11 - 
     245*T1^7*T2^11 + 135*T1^8*T2^11 + 135*T1^9*T2^11 - 245*T1^10*T2^11 + 
     180*T1^11*T2^11 - 45*T1^12*T2^11 + 9*T1^6*T2^12 - 45*T1^7*T2^12 + 
     94*T1^8*T2^12 - 121*T1^9*T2^12 + 94*T1^10*T2^12 - 45*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, 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, (17 - 92*T1 + 222*T1^2 - 316*T1^3 + 347*T1^4 - 316*T1^5 + 222*T1^6 - 
     92*T1^7 + 17*T1^8 - 92*T2 + 408*T1*T2 - 711*T1^2*T2 + 519*T1^3*T2 - 
     172*T1^4*T2 - 172*T1^5*T2 + 519*T1^6*T2 - 711*T1^7*T2 + 408*T1^8*T2 - 
     92*T1^9*T2 + 222*T2^2 - 711*T1*T2^2 + 433*T1^2*T2^2 + 1233*T1^3*T2^2 - 
     1996*T1^4*T2^2 + 2125*T1^5*T2^2 - 1996*T1^6*T2^2 + 1233*T1^7*T2^2 + 
     433*T1^8*T2^2 - 711*T1^9*T2^2 + 222*T1^10*T2^2 - 316*T2^3 + 
     519*T1*T2^3 + 1233*T1^2*T2^3 - 3950*T1^3*T2^3 + 2395*T1^4*T2^3 - 
     651*T1^5*T2^3 - 651*T1^6*T2^3 + 2395*T1^7*T2^3 - 3950*T1^8*T2^3 + 
     1233*T1^9*T2^3 + 519*T1^10*T2^3 - 316*T1^11*T2^3 + 347*T2^4 - 
     172*T1*T2^4 - 1996*T1^2*T2^4 + 2395*T1^3*T2^4 + 4142*T1^4*T2^4 - 
     6135*T1^5*T2^4 + 6272*T1^6*T2^4 - 6135*T1^7*T2^4 + 4142*T1^8*T2^4 + 
     2395*T1^9*T2^4 - 1996*T1^10*T2^4 - 172*T1^11*T2^4 + 347*T1^12*T2^4 - 
     316*T2^5 - 172*T1*T2^5 + 2125*T1^2*T2^5 - 651*T1^3*T2^5 - 
     6135*T1^4*T2^5 + 2816*T1^5*T2^5 - 605*T1^6*T2^5 - 605*T1^7*T2^5 + 
     2816*T1^8*T2^5 - 6135*T1^9*T2^5 - 651*T1^10*T2^5 + 2125*T1^11*T2^5 - 
     172*T1^12*T2^5 - 316*T1^13*T2^5 + 222*T2^6 + 519*T1*T2^6 - 
     1996*T1^2*T2^6 - 651*T1^3*T2^6 + 6272*T1^4*T2^6 - 605*T1^5*T2^6 + 
     1279*T1^6*T2^6 - 1843*T1^7*T2^6 + 1279*T1^8*T2^6 - 605*T1^9*T2^6 + 
     6272*T1^10*T2^6 - 651*T1^11*T2^6 - 1996*T1^12*T2^6 + 519*T1^13*T2^6 + 
     222*T1^14*T2^6 - 92*T2^7 - 711*T1*T2^7 + 1233*T1^2*T2^7 + 
     2395*T1^3*T2^7 - 6135*T1^4*T2^7 - 605*T1^5*T2^7 - 1843*T1^6*T2^7 + 
     804*T1^7*T2^7 + 804*T1^8*T2^7 - 1843*T1^9*T2^7 - 605*T1^10*T2^7 - 
     6135*T1^11*T2^7 + 2395*T1^12*T2^7 + 1233*T1^13*T2^7 - 711*T1^14*T2^7 - 
     92*T1^15*T2^7 + 17*T2^8 + 408*T1*T2^8 + 433*T1^2*T2^8 - 3950*T1^3*T2^8 + 
     4142*T1^4*T2^8 + 2816*T1^5*T2^8 + 1279*T1^6*T2^8 + 804*T1^7*T2^8 - 
     1392*T1^8*T2^8 + 804*T1^9*T2^8 + 1279*T1^10*T2^8 + 2816*T1^11*T2^8 + 
     4142*T1^12*T2^8 - 3950*T1^13*T2^8 + 433*T1^14*T2^8 + 408*T1^15*T2^8 + 
     17*T1^16*T2^8 - 92*T1*T2^9 - 711*T1^2*T2^9 + 1233*T1^3*T2^9 + 
     2395*T1^4*T2^9 - 6135*T1^5*T2^9 - 605*T1^6*T2^9 - 1843*T1^7*T2^9 + 
     804*T1^8*T2^9 + 804*T1^9*T2^9 - 1843*T1^10*T2^9 - 605*T1^11*T2^9 - 
     6135*T1^12*T2^9 + 2395*T1^13*T2^9 + 1233*T1^14*T2^9 - 711*T1^15*T2^9 - 
     92*T1^16*T2^9 + 222*T1^2*T2^10 + 519*T1^3*T2^10 - 1996*T1^4*T2^10 - 
     651*T1^5*T2^10 + 6272*T1^6*T2^10 - 605*T1^7*T2^10 + 1279*T1^8*T2^10 - 
     1843*T1^9*T2^10 + 1279*T1^10*T2^10 - 605*T1^11*T2^10 + 
     6272*T1^12*T2^10 - 651*T1^13*T2^10 - 1996*T1^14*T2^10 + 
     519*T1^15*T2^10 + 222*T1^16*T2^10 - 316*T1^3*T2^11 - 172*T1^4*T2^11 + 
     2125*T1^5*T2^11 - 651*T1^6*T2^11 - 6135*T1^7*T2^11 + 2816*T1^8*T2^11 - 
     605*T1^9*T2^11 - 605*T1^10*T2^11 + 2816*T1^11*T2^11 - 6135*T1^12*T2^11 - 
     651*T1^13*T2^11 + 2125*T1^14*T2^11 - 172*T1^15*T2^11 - 316*T1^16*T2^11 + 
     347*T1^4*T2^12 - 172*T1^5*T2^12 - 1996*T1^6*T2^12 + 2395*T1^7*T2^12 + 
     4142*T1^8*T2^12 - 6135*T1^9*T2^12 + 6272*T1^10*T2^12 - 
     6135*T1^11*T2^12 + 4142*T1^12*T2^12 + 2395*T1^13*T2^12 - 
     1996*T1^14*T2^12 - 172*T1^15*T2^12 + 347*T1^16*T2^12 - 316*T1^5*T2^13 + 
     519*T1^6*T2^13 + 1233*T1^7*T2^13 - 3950*T1^8*T2^13 + 2395*T1^9*T2^13 - 
     651*T1^10*T2^13 - 651*T1^11*T2^13 + 2395*T1^12*T2^13 - 
     3950*T1^13*T2^13 + 1233*T1^14*T2^13 + 519*T1^15*T2^13 - 
     316*T1^16*T2^13 + 222*T1^6*T2^14 - 711*T1^7*T2^14 + 433*T1^8*T2^14 + 
     1233*T1^9*T2^14 - 1996*T1^10*T2^14 + 2125*T1^11*T2^14 - 
     1996*T1^12*T2^14 + 1233*T1^13*T2^14 + 433*T1^14*T2^14 - 
     711*T1^15*T2^14 + 222*T1^16*T2^14 - 92*T1^7*T2^15 + 408*T1^8*T2^15 - 
     711*T1^9*T2^15 + 519*T1^10*T2^15 - 172*T1^11*T2^15 - 172*T1^12*T2^15 + 
     519*T1^13*T2^15 - 711*T1^14*T2^15 + 408*T1^15*T2^15 - 92*T1^16*T2^15 + 
     17*T1^8*T2^16 - 92*T1^9*T2^16 + 222*T1^10*T2^16 - 316*T1^11*T2^16 + 
     347*T1^12*T2^16 - 316*T1^13*T2^16 + 222*T1^14*T2^16 - 92*T1^15*T2^16 + 
     17*T1^16*T2^16)/(T1^8*T2^8)}, Knot[12, Alternating, 810] -> 
  {(4 - 23*T + 57*T^2 - 75*T^3 + 57*T^4 - 23*T^5 + 4*T^6)/T^3, 
   (80 - 448*T1 + 1084*T1^2 - 1408*T1^3 + 1084*T1^4 - 448*T1^5 + 80*T1^6 - 
     448*T2 + 2072*T1*T2 - 3594*T1^2*T2 + 1838*T1^3*T2 + 1838*T1^4*T2 - 
     3594*T1^5*T2 + 2072*T1^6*T2 - 448*T1^7*T2 + 1084*T2^2 - 3594*T1*T2^2 + 
     1714*T1^2*T2^2 + 9187*T1^3*T2^2 - 15410*T1^4*T2^2 + 9187*T1^5*T2^2 + 
     1714*T1^6*T2^2 - 3594*T1^7*T2^2 + 1084*T1^8*T2^2 - 1408*T2^3 + 
     1838*T1*T2^3 + 9187*T1^2*T2^3 - 26104*T1^3*T2^3 + 14300*T1^4*T2^3 + 
     14300*T1^5*T2^3 - 26104*T1^6*T2^3 + 9187*T1^7*T2^3 + 1838*T1^8*T2^3 - 
     1408*T1^9*T2^3 + 1084*T2^4 + 1838*T1*T2^4 - 15410*T1^2*T2^4 + 
     14300*T1^3*T2^4 + 33744*T1^4*T2^4 - 61624*T1^5*T2^4 + 33744*T1^6*T2^4 + 
     14300*T1^7*T2^4 - 15410*T1^8*T2^4 + 1838*T1^9*T2^4 + 1084*T1^10*T2^4 - 
     448*T2^5 - 3594*T1*T2^5 + 9187*T1^2*T2^5 + 14300*T1^3*T2^5 - 
     61624*T1^4*T2^5 + 34778*T1^5*T2^5 + 34778*T1^6*T2^5 - 61624*T1^7*T2^5 + 
     14300*T1^8*T2^5 + 9187*T1^9*T2^5 - 3594*T1^10*T2^5 - 448*T1^11*T2^5 + 
     80*T2^6 + 2072*T1*T2^6 + 1714*T1^2*T2^6 - 26104*T1^3*T2^6 + 
     33744*T1^4*T2^6 + 34778*T1^5*T2^6 - 75456*T1^6*T2^6 + 34778*T1^7*T2^6 + 
     33744*T1^8*T2^6 - 26104*T1^9*T2^6 + 1714*T1^10*T2^6 + 2072*T1^11*T2^6 + 
     80*T1^12*T2^6 - 448*T1*T2^7 - 3594*T1^2*T2^7 + 9187*T1^3*T2^7 + 
     14300*T1^4*T2^7 - 61624*T1^5*T2^7 + 34778*T1^6*T2^7 + 34778*T1^7*T2^7 - 
     61624*T1^8*T2^7 + 14300*T1^9*T2^7 + 9187*T1^10*T2^7 - 3594*T1^11*T2^7 - 
     448*T1^12*T2^7 + 1084*T1^2*T2^8 + 1838*T1^3*T2^8 - 15410*T1^4*T2^8 + 
     14300*T1^5*T2^8 + 33744*T1^6*T2^8 - 61624*T1^7*T2^8 + 33744*T1^8*T2^8 + 
     14300*T1^9*T2^8 - 15410*T1^10*T2^8 + 1838*T1^11*T2^8 + 1084*T1^12*T2^8 - 
     1408*T1^3*T2^9 + 1838*T1^4*T2^9 + 9187*T1^5*T2^9 - 26104*T1^6*T2^9 + 
     14300*T1^7*T2^9 + 14300*T1^8*T2^9 - 26104*T1^9*T2^9 + 9187*T1^10*T2^9 + 
     1838*T1^11*T2^9 - 1408*T1^12*T2^9 + 1084*T1^4*T2^10 - 3594*T1^5*T2^10 + 
     1714*T1^6*T2^10 + 9187*T1^7*T2^10 - 15410*T1^8*T2^10 + 9187*T1^9*T2^10 + 
     1714*T1^10*T2^10 - 3594*T1^11*T2^10 + 1084*T1^12*T2^10 - 
     448*T1^5*T2^11 + 2072*T1^6*T2^11 - 3594*T1^7*T2^11 + 1838*T1^8*T2^11 + 
     1838*T1^9*T2^11 - 3594*T1^10*T2^11 + 2072*T1^11*T2^11 - 
     448*T1^12*T2^11 + 80*T1^6*T2^12 - 448*T1^7*T2^12 + 1084*T1^8*T2^12 - 
     1408*T1^9*T2^12 + 1084*T1^10*T2^12 - 448*T1^11*T2^12 + 80*T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   (111 - 362*T1 + 675*T1^2 - 910*T1^3 + 1011*T1^4 - 910*T1^5 + 675*T1^6 - 
     362*T1^7 + 111*T1^8 - 362*T2 + 830*T1*T2 - 1052*T1^2*T2 + 806*T1^3*T2 - 
     347*T1^4*T2 - 347*T1^5*T2 + 806*T1^6*T2 - 1052*T1^7*T2 + 830*T1^8*T2 - 
     362*T1^9*T2 + 675*T2^2 - 1052*T1*T2^2 + 938*T1^2*T2^2 - 440*T1^3*T2^2 + 
     274*T1^4*T2^2 + 58*T1^5*T2^2 + 274*T1^6*T2^2 - 440*T1^7*T2^2 + 
     938*T1^8*T2^2 - 1052*T1^9*T2^2 + 675*T1^10*T2^2 - 910*T2^3 + 
     806*T1*T2^3 - 440*T1^2*T2^3 + 10*T1^3*T2^3 - 242*T1^4*T2^3 - 
     233*T1^5*T2^3 - 233*T1^6*T2^3 - 242*T1^7*T2^3 + 10*T1^8*T2^3 - 
     440*T1^9*T2^3 + 806*T1^10*T2^3 - 910*T1^11*T2^3 + 1011*T2^4 - 
     347*T1*T2^4 + 274*T1^2*T2^4 - 242*T1^3*T2^4 + 848*T1^4*T2^4 - 
     162*T1^5*T2^4 + 1016*T1^6*T2^4 - 162*T1^7*T2^4 + 848*T1^8*T2^4 - 
     242*T1^9*T2^4 + 274*T1^10*T2^4 - 347*T1^11*T2^4 + 1011*T1^12*T2^4 - 
     910*T2^5 - 347*T1*T2^5 + 58*T1^2*T2^5 - 233*T1^3*T2^5 - 162*T1^4*T2^5 - 
     826*T1^5*T2^5 - 537*T1^6*T2^5 - 537*T1^7*T2^5 - 826*T1^8*T2^5 - 
     162*T1^9*T2^5 - 233*T1^10*T2^5 + 58*T1^11*T2^5 - 347*T1^12*T2^5 - 
     910*T1^13*T2^5 + 675*T2^6 + 806*T1*T2^6 + 274*T1^2*T2^6 - 
     233*T1^3*T2^6 + 1016*T1^4*T2^6 - 537*T1^5*T2^6 + 2511*T1^6*T2^6 - 
     1033*T1^7*T2^6 + 2511*T1^8*T2^6 - 537*T1^9*T2^6 + 1016*T1^10*T2^6 - 
     233*T1^11*T2^6 + 274*T1^12*T2^6 + 806*T1^13*T2^6 + 675*T1^14*T2^6 - 
     362*T2^7 - 1052*T1*T2^7 - 440*T1^2*T2^7 - 242*T1^3*T2^7 - 
     162*T1^4*T2^7 - 537*T1^5*T2^7 - 1033*T1^6*T2^7 - 926*T1^7*T2^7 - 
     926*T1^8*T2^7 - 1033*T1^9*T2^7 - 537*T1^10*T2^7 - 162*T1^11*T2^7 - 
     242*T1^12*T2^7 - 440*T1^13*T2^7 - 1052*T1^14*T2^7 - 362*T1^15*T2^7 + 
     111*T2^8 + 830*T1*T2^8 + 938*T1^2*T2^8 + 10*T1^3*T2^8 + 848*T1^4*T2^8 - 
     826*T1^5*T2^8 + 2511*T1^6*T2^8 - 926*T1^7*T2^8 + 3072*T1^8*T2^8 - 
     926*T1^9*T2^8 + 2511*T1^10*T2^8 - 826*T1^11*T2^8 + 848*T1^12*T2^8 + 
     10*T1^13*T2^8 + 938*T1^14*T2^8 + 830*T1^15*T2^8 + 111*T1^16*T2^8 - 
     362*T1*T2^9 - 1052*T1^2*T2^9 - 440*T1^3*T2^9 - 242*T1^4*T2^9 - 
     162*T1^5*T2^9 - 537*T1^6*T2^9 - 1033*T1^7*T2^9 - 926*T1^8*T2^9 - 
     926*T1^9*T2^9 - 1033*T1^10*T2^9 - 537*T1^11*T2^9 - 162*T1^12*T2^9 - 
     242*T1^13*T2^9 - 440*T1^14*T2^9 - 1052*T1^15*T2^9 - 362*T1^16*T2^9 + 
     675*T1^2*T2^10 + 806*T1^3*T2^10 + 274*T1^4*T2^10 - 233*T1^5*T2^10 + 
     1016*T1^6*T2^10 - 537*T1^7*T2^10 + 2511*T1^8*T2^10 - 1033*T1^9*T2^10 + 
     2511*T1^10*T2^10 - 537*T1^11*T2^10 + 1016*T1^12*T2^10 - 
     233*T1^13*T2^10 + 274*T1^14*T2^10 + 806*T1^15*T2^10 + 675*T1^16*T2^10 - 
     910*T1^3*T2^11 - 347*T1^4*T2^11 + 58*T1^5*T2^11 - 233*T1^6*T2^11 - 
     162*T1^7*T2^11 - 826*T1^8*T2^11 - 537*T1^9*T2^11 - 537*T1^10*T2^11 - 
     826*T1^11*T2^11 - 162*T1^12*T2^11 - 233*T1^13*T2^11 + 58*T1^14*T2^11 - 
     347*T1^15*T2^11 - 910*T1^16*T2^11 + 1011*T1^4*T2^12 - 347*T1^5*T2^12 + 
     274*T1^6*T2^12 - 242*T1^7*T2^12 + 848*T1^8*T2^12 - 162*T1^9*T2^12 + 
     1016*T1^10*T2^12 - 162*T1^11*T2^12 + 848*T1^12*T2^12 - 242*T1^13*T2^12 + 
     274*T1^14*T2^12 - 347*T1^15*T2^12 + 1011*T1^16*T2^12 - 910*T1^5*T2^13 + 
     806*T1^6*T2^13 - 440*T1^7*T2^13 + 10*T1^8*T2^13 - 242*T1^9*T2^13 - 
     233*T1^10*T2^13 - 233*T1^11*T2^13 - 242*T1^12*T2^13 + 10*T1^13*T2^13 - 
     440*T1^14*T2^13 + 806*T1^15*T2^13 - 910*T1^16*T2^13 + 675*T1^6*T2^14 - 
     1052*T1^7*T2^14 + 938*T1^8*T2^14 - 440*T1^9*T2^14 + 274*T1^10*T2^14 + 
     58*T1^11*T2^14 + 274*T1^12*T2^14 - 440*T1^13*T2^14 + 938*T1^14*T2^14 - 
     1052*T1^15*T2^14 + 675*T1^16*T2^14 - 362*T1^7*T2^15 + 830*T1^8*T2^15 - 
     1052*T1^9*T2^15 + 806*T1^10*T2^15 - 347*T1^11*T2^15 - 347*T1^12*T2^15 + 
     806*T1^13*T2^15 - 1052*T1^14*T2^15 + 830*T1^15*T2^15 - 362*T1^16*T2^15 + 
     111*T1^8*T2^16 - 362*T1^9*T2^16 + 675*T1^10*T2^16 - 910*T1^11*T2^16 + 
     1011*T1^12*T2^16 - 910*T1^13*T2^16 + 675*T1^14*T2^16 - 362*T1^15*T2^16 + 
     111*T1^16*T2^16)/(T1^8*T2^8)}, Knot[12, Alternating, 812] -> 
  {-((5 - 23*T + 45*T^2 - 55*T^3 + 45*T^4 - 23*T^5 + 5*T^6)/T^3), 
   -((270 - 1230*T1 + 2385*T1^2 - 2912*T1^3 + 2385*T1^4 - 1230*T1^5 + 
      270*T1^6 - 1230*T2 + 4380*T1*T2 - 5279*T1^2*T2 + 2407*T1^3*T2 + 
      2407*T1^4*T2 - 5279*T1^5*T2 + 4380*T1^6*T2 - 1230*T1^7*T2 + 2385*T2^2 - 
      5279*T1*T2^2 - 2116*T1^2*T2^2 + 13371*T1^3*T2^2 - 18986*T1^4*T2^2 + 
      13371*T1^5*T2^2 - 2116*T1^6*T2^2 - 5279*T1^7*T2^2 + 2385*T1^8*T2^2 - 
      2912*T2^3 + 2407*T1*T2^3 + 13371*T1^2*T2^3 - 19868*T1^3*T2^3 + 
      9870*T1^4*T2^3 + 9870*T1^5*T2^3 - 19868*T1^6*T2^3 + 13371*T1^7*T2^3 + 
      2407*T1^8*T2^3 - 2912*T1^9*T2^3 + 2385*T2^4 + 2407*T1*T2^4 - 
      18986*T1^2*T2^4 + 9870*T1^3*T2^4 + 10884*T1^4*T2^4 - 23474*T1^5*T2^4 + 
      10884*T1^6*T2^4 + 9870*T1^7*T2^4 - 18986*T1^8*T2^4 + 2407*T1^9*T2^4 + 
      2385*T1^10*T2^4 - 1230*T2^5 - 5279*T1*T2^5 + 13371*T1^2*T2^5 + 
      9870*T1^3*T2^5 - 23474*T1^4*T2^5 + 13914*T1^5*T2^5 + 13914*T1^6*T2^5 - 
      23474*T1^7*T2^5 + 9870*T1^8*T2^5 + 13371*T1^9*T2^5 - 5279*T1^10*T2^5 - 
      1230*T1^11*T2^5 + 270*T2^6 + 4380*T1*T2^6 - 2116*T1^2*T2^6 - 
      19868*T1^3*T2^6 + 10884*T1^4*T2^6 + 13914*T1^5*T2^6 - 30840*T1^6*T2^6 + 
      13914*T1^7*T2^6 + 10884*T1^8*T2^6 - 19868*T1^9*T2^6 - 2116*T1^10*T2^6 + 
      4380*T1^11*T2^6 + 270*T1^12*T2^6 - 1230*T1*T2^7 - 5279*T1^2*T2^7 + 
      13371*T1^3*T2^7 + 9870*T1^4*T2^7 - 23474*T1^5*T2^7 + 13914*T1^6*T2^7 + 
      13914*T1^7*T2^7 - 23474*T1^8*T2^7 + 9870*T1^9*T2^7 + 13371*T1^10*T2^7 - 
      5279*T1^11*T2^7 - 1230*T1^12*T2^7 + 2385*T1^2*T2^8 + 2407*T1^3*T2^8 - 
      18986*T1^4*T2^8 + 9870*T1^5*T2^8 + 10884*T1^6*T2^8 - 23474*T1^7*T2^8 + 
      10884*T1^8*T2^8 + 9870*T1^9*T2^8 - 18986*T1^10*T2^8 + 2407*T1^11*T2^8 + 
      2385*T1^12*T2^8 - 2912*T1^3*T2^9 + 2407*T1^4*T2^9 + 13371*T1^5*T2^9 - 
      19868*T1^6*T2^9 + 9870*T1^7*T2^9 + 9870*T1^8*T2^9 - 19868*T1^9*T2^9 + 
      13371*T1^10*T2^9 + 2407*T1^11*T2^9 - 2912*T1^12*T2^9 + 
      2385*T1^4*T2^10 - 5279*T1^5*T2^10 - 2116*T1^6*T2^10 + 
      13371*T1^7*T2^10 - 18986*T1^8*T2^10 + 13371*T1^9*T2^10 - 
      2116*T1^10*T2^10 - 5279*T1^11*T2^10 + 2385*T1^12*T2^10 - 
      1230*T1^5*T2^11 + 4380*T1^6*T2^11 - 5279*T1^7*T2^11 + 2407*T1^8*T2^11 + 
      2407*T1^9*T2^11 - 5279*T1^10*T2^11 + 4380*T1^11*T2^11 - 
      1230*T1^12*T2^11 + 270*T1^6*T2^12 - 1230*T1^7*T2^12 + 2385*T1^8*T2^12 - 
      2912*T1^9*T2^12 + 2385*T1^10*T2^12 - 1230*T1^11*T2^12 + 
      270*T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   (111 - 327*T1 + 574*T1^2 - 784*T1^3 + 891*T1^4 - 784*T1^5 + 574*T1^6 - 
     327*T1^7 + 111*T1^8 - 327*T2 + 644*T1*T2 - 744*T1^2*T2 + 635*T1^3*T2 - 
     321*T1^4*T2 - 321*T1^5*T2 + 635*T1^6*T2 - 744*T1^7*T2 + 644*T1^8*T2 - 
     327*T1^9*T2 + 574*T2^2 - 744*T1*T2^2 + 668*T1^2*T2^2 - 608*T1^3*T2^2 + 
     497*T1^4*T2^2 - 68*T1^5*T2^2 + 497*T1^6*T2^2 - 608*T1^7*T2^2 + 
     668*T1^8*T2^2 - 744*T1^9*T2^2 + 574*T1^10*T2^2 - 784*T2^3 + 
     635*T1*T2^3 - 608*T1^2*T2^3 + 686*T1^3*T2^3 - 492*T1^4*T2^3 - 
     233*T1^5*T2^3 - 233*T1^6*T2^3 - 492*T1^7*T2^3 + 686*T1^8*T2^3 - 
     608*T1^9*T2^3 + 635*T1^10*T2^3 - 784*T1^11*T2^3 + 891*T2^4 - 
     321*T1*T2^4 + 497*T1^2*T2^4 - 492*T1^3*T2^4 + 97*T1^4*T2^4 + 
     614*T1^5*T2^4 + 319*T1^6*T2^4 + 614*T1^7*T2^4 + 97*T1^8*T2^4 - 
     492*T1^9*T2^4 + 497*T1^10*T2^4 - 321*T1^11*T2^4 + 891*T1^12*T2^4 - 
     784*T2^5 - 321*T1*T2^5 - 68*T1^2*T2^5 - 233*T1^3*T2^5 + 614*T1^4*T2^5 - 
     866*T1^5*T2^5 - 561*T1^6*T2^5 - 561*T1^7*T2^5 - 866*T1^8*T2^5 + 
     614*T1^9*T2^5 - 233*T1^10*T2^5 - 68*T1^11*T2^5 - 321*T1^12*T2^5 - 
     784*T1^13*T2^5 + 574*T2^6 + 635*T1*T2^6 + 497*T1^2*T2^6 - 
     233*T1^3*T2^6 + 319*T1^4*T2^6 - 561*T1^5*T2^6 + 1779*T1^6*T2^6 - 
     99*T1^7*T2^6 + 1779*T1^8*T2^6 - 561*T1^9*T2^6 + 319*T1^10*T2^6 - 
     233*T1^11*T2^6 + 497*T1^12*T2^6 + 635*T1^13*T2^6 + 574*T1^14*T2^6 - 
     327*T2^7 - 744*T1*T2^7 - 608*T1^2*T2^7 - 492*T1^3*T2^7 + 614*T1^4*T2^7 - 
     561*T1^5*T2^7 - 99*T1^6*T2^7 - 1280*T1^7*T2^7 - 1280*T1^8*T2^7 - 
     99*T1^9*T2^7 - 561*T1^10*T2^7 + 614*T1^11*T2^7 - 492*T1^12*T2^7 - 
     608*T1^13*T2^7 - 744*T1^14*T2^7 - 327*T1^15*T2^7 + 111*T2^8 + 
     644*T1*T2^8 + 668*T1^2*T2^8 + 686*T1^3*T2^8 + 97*T1^4*T2^8 - 
     866*T1^5*T2^8 + 1779*T1^6*T2^8 - 1280*T1^7*T2^8 + 3708*T1^8*T2^8 - 
     1280*T1^9*T2^8 + 1779*T1^10*T2^8 - 866*T1^11*T2^8 + 97*T1^12*T2^8 + 
     686*T1^13*T2^8 + 668*T1^14*T2^8 + 644*T1^15*T2^8 + 111*T1^16*T2^8 - 
     327*T1*T2^9 - 744*T1^2*T2^9 - 608*T1^3*T2^9 - 492*T1^4*T2^9 + 
     614*T1^5*T2^9 - 561*T1^6*T2^9 - 99*T1^7*T2^9 - 1280*T1^8*T2^9 - 
     1280*T1^9*T2^9 - 99*T1^10*T2^9 - 561*T1^11*T2^9 + 614*T1^12*T2^9 - 
     492*T1^13*T2^9 - 608*T1^14*T2^9 - 744*T1^15*T2^9 - 327*T1^16*T2^9 + 
     574*T1^2*T2^10 + 635*T1^3*T2^10 + 497*T1^4*T2^10 - 233*T1^5*T2^10 + 
     319*T1^6*T2^10 - 561*T1^7*T2^10 + 1779*T1^8*T2^10 - 99*T1^9*T2^10 + 
     1779*T1^10*T2^10 - 561*T1^11*T2^10 + 319*T1^12*T2^10 - 233*T1^13*T2^10 + 
     497*T1^14*T2^10 + 635*T1^15*T2^10 + 574*T1^16*T2^10 - 784*T1^3*T2^11 - 
     321*T1^4*T2^11 - 68*T1^5*T2^11 - 233*T1^6*T2^11 + 614*T1^7*T2^11 - 
     866*T1^8*T2^11 - 561*T1^9*T2^11 - 561*T1^10*T2^11 - 866*T1^11*T2^11 + 
     614*T1^12*T2^11 - 233*T1^13*T2^11 - 68*T1^14*T2^11 - 321*T1^15*T2^11 - 
     784*T1^16*T2^11 + 891*T1^4*T2^12 - 321*T1^5*T2^12 + 497*T1^6*T2^12 - 
     492*T1^7*T2^12 + 97*T1^8*T2^12 + 614*T1^9*T2^12 + 319*T1^10*T2^12 + 
     614*T1^11*T2^12 + 97*T1^12*T2^12 - 492*T1^13*T2^12 + 497*T1^14*T2^12 - 
     321*T1^15*T2^12 + 891*T1^16*T2^12 - 784*T1^5*T2^13 + 635*T1^6*T2^13 - 
     608*T1^7*T2^13 + 686*T1^8*T2^13 - 492*T1^9*T2^13 - 233*T1^10*T2^13 - 
     233*T1^11*T2^13 - 492*T1^12*T2^13 + 686*T1^13*T2^13 - 608*T1^14*T2^13 + 
     635*T1^15*T2^13 - 784*T1^16*T2^13 + 574*T1^6*T2^14 - 744*T1^7*T2^14 + 
     668*T1^8*T2^14 - 608*T1^9*T2^14 + 497*T1^10*T2^14 - 68*T1^11*T2^14 + 
     497*T1^12*T2^14 - 608*T1^13*T2^14 + 668*T1^14*T2^14 - 744*T1^15*T2^14 + 
     574*T1^16*T2^14 - 327*T1^7*T2^15 + 644*T1^8*T2^15 - 744*T1^9*T2^15 + 
     635*T1^10*T2^15 - 321*T1^11*T2^15 - 321*T1^12*T2^15 + 635*T1^13*T2^15 - 
     744*T1^14*T2^15 + 644*T1^15*T2^15 - 327*T1^16*T2^15 + 111*T1^8*T2^16 - 
     327*T1^9*T2^16 + 574*T1^10*T2^16 - 784*T1^11*T2^16 + 891*T1^12*T2^16 - 
     784*T1^13*T2^16 + 574*T1^14*T2^16 - 327*T1^15*T2^16 + 111*T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 814] -> 
  {(6 - 20*T + 34*T^2 - 39*T^3 + 34*T^4 - 20*T^5 + 6*T^6)/T^3, 
   (699 - 2281*T1 + 3823*T1^2 - 4353*T1^3 + 3823*T1^4 - 2281*T1^5 + 
     699*T1^6 - 2281*T2 + 5216*T1*T2 - 5146*T1^2*T2 + 1798*T1^3*T2 + 
     1798*T1^4*T2 - 5146*T1^5*T2 + 5216*T1^6*T2 - 2281*T1^7*T2 + 3823*T2^2 - 
     5146*T1*T2^2 + 252*T1^2*T2^2 + 5455*T1^3*T2^2 - 6116*T1^4*T2^2 + 
     5455*T1^5*T2^2 + 252*T1^6*T2^2 - 5146*T1^7*T2^2 + 3823*T1^8*T2^2 - 
     4353*T2^3 + 1798*T1*T2^3 + 5455*T1^2*T2^3 - 6902*T1^3*T2^3 + 
     1143*T1^4*T2^3 + 1143*T1^5*T2^3 - 6902*T1^6*T2^3 + 5455*T1^7*T2^3 + 
     1798*T1^8*T2^3 - 4353*T1^9*T2^3 + 3823*T2^4 + 1798*T1*T2^4 - 
     6116*T1^2*T2^4 + 1143*T1^3*T2^4 + 5813*T1^4*T2^4 - 3573*T1^5*T2^4 + 
     5813*T1^6*T2^4 + 1143*T1^7*T2^4 - 6116*T1^8*T2^4 + 1798*T1^9*T2^4 + 
     3823*T1^10*T2^4 - 2281*T2^5 - 5146*T1*T2^5 + 5455*T1^2*T2^5 + 
     1143*T1^3*T2^5 - 3573*T1^4*T2^5 - 1760*T1^5*T2^5 - 1760*T1^6*T2^5 - 
     3573*T1^7*T2^5 + 1143*T1^8*T2^5 + 5455*T1^9*T2^5 - 5146*T1^10*T2^5 - 
     2281*T1^11*T2^5 + 699*T2^6 + 5216*T1*T2^6 + 252*T1^2*T2^6 - 
     6902*T1^3*T2^6 + 5813*T1^4*T2^6 - 1760*T1^5*T2^6 + 6840*T1^6*T2^6 - 
     1760*T1^7*T2^6 + 5813*T1^8*T2^6 - 6902*T1^9*T2^6 + 252*T1^10*T2^6 + 
     5216*T1^11*T2^6 + 699*T1^12*T2^6 - 2281*T1*T2^7 - 5146*T1^2*T2^7 + 
     5455*T1^3*T2^7 + 1143*T1^4*T2^7 - 3573*T1^5*T2^7 - 1760*T1^6*T2^7 - 
     1760*T1^7*T2^7 - 3573*T1^8*T2^7 + 1143*T1^9*T2^7 + 5455*T1^10*T2^7 - 
     5146*T1^11*T2^7 - 2281*T1^12*T2^7 + 3823*T1^2*T2^8 + 1798*T1^3*T2^8 - 
     6116*T1^4*T2^8 + 1143*T1^5*T2^8 + 5813*T1^6*T2^8 - 3573*T1^7*T2^8 + 
     5813*T1^8*T2^8 + 1143*T1^9*T2^8 - 6116*T1^10*T2^8 + 1798*T1^11*T2^8 + 
     3823*T1^12*T2^8 - 4353*T1^3*T2^9 + 1798*T1^4*T2^9 + 5455*T1^5*T2^9 - 
     6902*T1^6*T2^9 + 1143*T1^7*T2^9 + 1143*T1^8*T2^9 - 6902*T1^9*T2^9 + 
     5455*T1^10*T2^9 + 1798*T1^11*T2^9 - 4353*T1^12*T2^9 + 3823*T1^4*T2^10 - 
     5146*T1^5*T2^10 + 252*T1^6*T2^10 + 5455*T1^7*T2^10 - 6116*T1^8*T2^10 + 
     5455*T1^9*T2^10 + 252*T1^10*T2^10 - 5146*T1^11*T2^10 + 
     3823*T1^12*T2^10 - 2281*T1^5*T2^11 + 5216*T1^6*T2^11 - 5146*T1^7*T2^11 + 
     1798*T1^8*T2^11 + 1798*T1^9*T2^11 - 5146*T1^10*T2^11 + 
     5216*T1^11*T2^11 - 2281*T1^12*T2^11 + 699*T1^6*T2^12 - 2281*T1^7*T2^12 + 
     3823*T1^8*T2^12 - 4353*T1^9*T2^12 + 3823*T1^10*T2^12 - 
     2281*T1^11*T2^12 + 699*T1^12*T2^12)/(T1^6*T2^6)}, 
 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, -((1 - 3*T1 + 7*T1^2 - 12*T1^3 + 16*T1^4 - 17*T1^5 + 
      16*T1^6 - 12*T1^7 + 7*T1^8 - 3*T1^9 + T1^10 - 3*T2 + 6*T1*T2 - 
      12*T1^2*T2 + 15*T1^3*T2 - 12*T1^4*T2 + 3*T1^5*T2 + 3*T1^6*T2 - 
      12*T1^7*T2 + 15*T1^8*T2 - 12*T1^9*T2 + 6*T1^10*T2 - 3*T1^11*T2 + 
      7*T2^2 - 12*T1*T2^2 + 29*T1^2*T2^2 - 42*T1^3*T2^2 + 52*T1^4*T2^2 - 
      53*T1^5*T2^2 + 61*T1^6*T2^2 - 53*T1^7*T2^2 + 52*T1^8*T2^2 - 
      42*T1^9*T2^2 + 29*T1^10*T2^2 - 12*T1^11*T2^2 + 7*T1^12*T2^2 - 12*T2^3 + 
      15*T1*T2^3 - 42*T1^2*T2^3 + 48*T1^3*T2^3 - 48*T1^4*T2^3 + 
      21*T1^5*T2^3 - 15*T1^6*T2^3 - 15*T1^7*T2^3 + 21*T1^8*T2^3 - 
      48*T1^9*T2^3 + 48*T1^10*T2^3 - 42*T1^11*T2^3 + 15*T1^12*T2^3 - 
      12*T1^13*T2^3 + 16*T2^4 - 12*T1*T2^4 + 52*T1^2*T2^4 - 48*T1^3*T2^4 + 
      60*T1^4*T2^4 - 36*T1^5*T2^4 + 69*T1^6*T2^4 - 52*T1^7*T2^4 + 
      69*T1^8*T2^4 - 36*T1^9*T2^4 + 60*T1^10*T2^4 - 48*T1^11*T2^4 + 
      52*T1^12*T2^4 - 12*T1^13*T2^4 + 16*T1^14*T2^4 - 17*T2^5 + 3*T1*T2^5 - 
      53*T1^2*T2^5 + 21*T1^3*T2^5 - 36*T1^4*T2^5 - 8*T1^5*T2^5 - 
      35*T1^6*T2^5 - 12*T1^7*T2^5 - 12*T1^8*T2^5 - 35*T1^9*T2^5 - 
      8*T1^10*T2^5 - 36*T1^11*T2^5 + 21*T1^12*T2^5 - 53*T1^13*T2^5 + 
      3*T1^14*T2^5 - 17*T1^15*T2^5 + 16*T2^6 + 3*T1*T2^6 + 61*T1^2*T2^6 - 
      15*T1^3*T2^6 + 69*T1^4*T2^6 - 35*T1^5*T2^6 + 103*T1^6*T2^6 - 
      36*T1^7*T2^6 + 83*T1^8*T2^6 - 36*T1^9*T2^6 + 103*T1^10*T2^6 - 
      35*T1^11*T2^6 + 69*T1^12*T2^6 - 15*T1^13*T2^6 + 61*T1^14*T2^6 + 
      3*T1^15*T2^6 + 16*T1^16*T2^6 - 12*T2^7 - 12*T1*T2^7 - 53*T1^2*T2^7 - 
      15*T1^3*T2^7 - 52*T1^4*T2^7 - 12*T1^5*T2^7 - 36*T1^6*T2^7 - 
      64*T1^7*T2^7 - 12*T1^8*T2^7 - 12*T1^9*T2^7 - 64*T1^10*T2^7 - 
      36*T1^11*T2^7 - 12*T1^12*T2^7 - 52*T1^13*T2^7 - 15*T1^14*T2^7 - 
      53*T1^15*T2^7 - 12*T1^16*T2^7 - 12*T1^17*T2^7 + 7*T2^8 + 15*T1*T2^8 + 
      52*T1^2*T2^8 + 21*T1^3*T2^8 + 69*T1^4*T2^8 - 12*T1^5*T2^8 + 
      83*T1^6*T2^8 - 12*T1^7*T2^8 + 151*T1^8*T2^8 - 139*T1^9*T2^8 + 
      151*T1^10*T2^8 - 12*T1^11*T2^8 + 83*T1^12*T2^8 - 12*T1^13*T2^8 + 
      69*T1^14*T2^8 + 21*T1^15*T2^8 + 52*T1^16*T2^8 + 15*T1^17*T2^8 + 
      7*T1^18*T2^8 - 3*T2^9 - 12*T1*T2^9 - 42*T1^2*T2^9 - 48*T1^3*T2^9 - 
      36*T1^4*T2^9 - 35*T1^5*T2^9 - 36*T1^6*T2^9 - 12*T1^7*T2^9 - 
      139*T1^8*T2^9 + 44*T1^9*T2^9 + 44*T1^10*T2^9 - 139*T1^11*T2^9 - 
      12*T1^12*T2^9 - 36*T1^13*T2^9 - 35*T1^14*T2^9 - 36*T1^15*T2^9 - 
      48*T1^16*T2^9 - 42*T1^17*T2^9 - 12*T1^18*T2^9 - 3*T1^19*T2^9 + T2^10 + 
      6*T1*T2^10 + 29*T1^2*T2^10 + 48*T1^3*T2^10 + 60*T1^4*T2^10 - 
      8*T1^5*T2^10 + 103*T1^6*T2^10 - 64*T1^7*T2^10 + 151*T1^8*T2^10 + 
      44*T1^9*T2^10 - 96*T1^10*T2^10 + 44*T1^11*T2^10 + 151*T1^12*T2^10 - 
      64*T1^13*T2^10 + 103*T1^14*T2^10 - 8*T1^15*T2^10 + 60*T1^16*T2^10 + 
      48*T1^17*T2^10 + 29*T1^18*T2^10 + 6*T1^19*T2^10 + T1^20*T2^10 - 
      3*T1*T2^11 - 12*T1^2*T2^11 - 42*T1^3*T2^11 - 48*T1^4*T2^11 - 
      36*T1^5*T2^11 - 35*T1^6*T2^11 - 36*T1^7*T2^11 - 12*T1^8*T2^11 - 
      139*T1^9*T2^11 + 44*T1^10*T2^11 + 44*T1^11*T2^11 - 139*T1^12*T2^11 - 
      12*T1^13*T2^11 - 36*T1^14*T2^11 - 35*T1^15*T2^11 - 36*T1^16*T2^11 - 
      48*T1^17*T2^11 - 42*T1^18*T2^11 - 12*T1^19*T2^11 - 3*T1^20*T2^11 + 
      7*T1^2*T2^12 + 15*T1^3*T2^12 + 52*T1^4*T2^12 + 21*T1^5*T2^12 + 
      69*T1^6*T2^12 - 12*T1^7*T2^12 + 83*T1^8*T2^12 - 12*T1^9*T2^12 + 
      151*T1^10*T2^12 - 139*T1^11*T2^12 + 151*T1^12*T2^12 - 12*T1^13*T2^12 + 
      83*T1^14*T2^12 - 12*T1^15*T2^12 + 69*T1^16*T2^12 + 21*T1^17*T2^12 + 
      52*T1^18*T2^12 + 15*T1^19*T2^12 + 7*T1^20*T2^12 - 12*T1^3*T2^13 - 
      12*T1^4*T2^13 - 53*T1^5*T2^13 - 15*T1^6*T2^13 - 52*T1^7*T2^13 - 
      12*T1^8*T2^13 - 36*T1^9*T2^13 - 64*T1^10*T2^13 - 12*T1^11*T2^13 - 
      12*T1^12*T2^13 - 64*T1^13*T2^13 - 36*T1^14*T2^13 - 12*T1^15*T2^13 - 
      52*T1^16*T2^13 - 15*T1^17*T2^13 - 53*T1^18*T2^13 - 12*T1^19*T2^13 - 
      12*T1^20*T2^13 + 16*T1^4*T2^14 + 3*T1^5*T2^14 + 61*T1^6*T2^14 - 
      15*T1^7*T2^14 + 69*T1^8*T2^14 - 35*T1^9*T2^14 + 103*T1^10*T2^14 - 
      36*T1^11*T2^14 + 83*T1^12*T2^14 - 36*T1^13*T2^14 + 103*T1^14*T2^14 - 
      35*T1^15*T2^14 + 69*T1^16*T2^14 - 15*T1^17*T2^14 + 61*T1^18*T2^14 + 
      3*T1^19*T2^14 + 16*T1^20*T2^14 - 17*T1^5*T2^15 + 3*T1^6*T2^15 - 
      53*T1^7*T2^15 + 21*T1^8*T2^15 - 36*T1^9*T2^15 - 8*T1^10*T2^15 - 
      35*T1^11*T2^15 - 12*T1^12*T2^15 - 12*T1^13*T2^15 - 35*T1^14*T2^15 - 
      8*T1^15*T2^15 - 36*T1^16*T2^15 + 21*T1^17*T2^15 - 53*T1^18*T2^15 + 
      3*T1^19*T2^15 - 17*T1^20*T2^15 + 16*T1^6*T2^16 - 12*T1^7*T2^16 + 
      52*T1^8*T2^16 - 48*T1^9*T2^16 + 60*T1^10*T2^16 - 36*T1^11*T2^16 + 
      69*T1^12*T2^16 - 52*T1^13*T2^16 + 69*T1^14*T2^16 - 36*T1^15*T2^16 + 
      60*T1^16*T2^16 - 48*T1^17*T2^16 + 52*T1^18*T2^16 - 12*T1^19*T2^16 + 
      16*T1^20*T2^16 - 12*T1^7*T2^17 + 15*T1^8*T2^17 - 42*T1^9*T2^17 + 
      48*T1^10*T2^17 - 48*T1^11*T2^17 + 21*T1^12*T2^17 - 15*T1^13*T2^17 - 
      15*T1^14*T2^17 + 21*T1^15*T2^17 - 48*T1^16*T2^17 + 48*T1^17*T2^17 - 
      42*T1^18*T2^17 + 15*T1^19*T2^17 - 12*T1^20*T2^17 + 7*T1^8*T2^18 - 
      12*T1^9*T2^18 + 29*T1^10*T2^18 - 42*T1^11*T2^18 + 52*T1^12*T2^18 - 
      53*T1^13*T2^18 + 61*T1^14*T2^18 - 53*T1^15*T2^18 + 52*T1^16*T2^18 - 
      42*T1^17*T2^18 + 29*T1^18*T2^18 - 12*T1^19*T2^18 + 7*T1^20*T2^18 - 
      3*T1^9*T2^19 + 6*T1^10*T2^19 - 12*T1^11*T2^19 + 15*T1^12*T2^19 - 
      12*T1^13*T2^19 + 3*T1^14*T2^19 + 3*T1^15*T2^19 - 12*T1^16*T2^19 + 
      15*T1^17*T2^19 - 12*T1^18*T2^19 + 6*T1^19*T2^19 - 3*T1^20*T2^19 + 
      T1^10*T2^20 - 3*T1^11*T2^20 + 7*T1^12*T2^20 - 12*T1^13*T2^20 + 
      16*T1^14*T2^20 - 17*T1^15*T2^20 + 16*T1^16*T2^20 - 12*T1^17*T2^20 + 
      7*T1^18*T2^20 - 3*T1^19*T2^20 + T1^20*T2^20)/(T1^10*T2^10))}, 
 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, -((1 - 3*T1 + 7*T1^2 - 12*T1^3 + 15*T1^4 - 12*T1^5 + 7*T1^6 - 
      3*T1^7 + T1^8 - 3*T2 + 6*T1*T2 - 12*T1^2*T2 + 15*T1^3*T2 - 9*T1^4*T2 - 
      9*T1^5*T2 + 15*T1^6*T2 - 12*T1^7*T2 + 6*T1^8*T2 - 3*T1^9*T2 + 7*T2^2 - 
      12*T1*T2^2 + 29*T1^2*T2^2 - 46*T1^3*T2^2 + 70*T1^4*T2^2 - 
      73*T1^5*T2^2 + 70*T1^6*T2^2 - 46*T1^7*T2^2 + 29*T1^8*T2^2 - 
      12*T1^9*T2^2 + 7*T1^10*T2^2 - 12*T2^3 + 15*T1*T2^3 - 46*T1^2*T2^3 + 
      70*T1^3*T2^3 - 117*T1^4*T2^3 + 55*T1^5*T2^3 + 55*T1^6*T2^3 - 
      117*T1^7*T2^3 + 70*T1^8*T2^3 - 46*T1^9*T2^3 + 15*T1^10*T2^3 - 
      12*T1^11*T2^3 + 15*T2^4 - 9*T1*T2^4 + 70*T1^2*T2^4 - 117*T1^3*T2^4 + 
      232*T1^4*T2^4 - 112*T1^5*T2^4 + 26*T1^6*T2^4 - 112*T1^7*T2^4 + 
      232*T1^8*T2^4 - 117*T1^9*T2^4 + 70*T1^10*T2^4 - 9*T1^11*T2^4 + 
      15*T1^12*T2^4 - 12*T2^5 - 9*T1*T2^5 - 73*T1^2*T2^5 + 55*T1^3*T2^5 - 
      112*T1^4*T2^5 - 158*T1^5*T2^5 + 108*T1^6*T2^5 + 108*T1^7*T2^5 - 
      158*T1^8*T2^5 - 112*T1^9*T2^5 + 55*T1^10*T2^5 - 73*T1^11*T2^5 - 
      9*T1^12*T2^5 - 12*T1^13*T2^5 + 7*T2^6 + 15*T1*T2^6 + 70*T1^2*T2^6 + 
      55*T1^3*T2^6 + 26*T1^4*T2^6 + 108*T1^5*T2^6 + 334*T1^6*T2^6 - 
      518*T1^7*T2^6 + 334*T1^8*T2^6 + 108*T1^9*T2^6 + 26*T1^10*T2^6 + 
      55*T1^11*T2^6 + 70*T1^12*T2^6 + 15*T1^13*T2^6 + 7*T1^14*T2^6 - 3*T2^7 - 
      12*T1*T2^7 - 46*T1^2*T2^7 - 117*T1^3*T2^7 - 112*T1^4*T2^7 + 
      108*T1^5*T2^7 - 518*T1^6*T2^7 + 194*T1^7*T2^7 + 194*T1^8*T2^7 - 
      518*T1^9*T2^7 + 108*T1^10*T2^7 - 112*T1^11*T2^7 - 117*T1^12*T2^7 - 
      46*T1^13*T2^7 - 12*T1^14*T2^7 - 3*T1^15*T2^7 + T2^8 + 6*T1*T2^8 + 
      29*T1^2*T2^8 + 70*T1^3*T2^8 + 232*T1^4*T2^8 - 158*T1^5*T2^8 + 
      334*T1^6*T2^8 + 194*T1^7*T2^8 - 276*T1^8*T2^8 + 194*T1^9*T2^8 + 
      334*T1^10*T2^8 - 158*T1^11*T2^8 + 232*T1^12*T2^8 + 70*T1^13*T2^8 + 
      29*T1^14*T2^8 + 6*T1^15*T2^8 + T1^16*T2^8 - 3*T1*T2^9 - 12*T1^2*T2^9 - 
      46*T1^3*T2^9 - 117*T1^4*T2^9 - 112*T1^5*T2^9 + 108*T1^6*T2^9 - 
      518*T1^7*T2^9 + 194*T1^8*T2^9 + 194*T1^9*T2^9 - 518*T1^10*T2^9 + 
      108*T1^11*T2^9 - 112*T1^12*T2^9 - 117*T1^13*T2^9 - 46*T1^14*T2^9 - 
      12*T1^15*T2^9 - 3*T1^16*T2^9 + 7*T1^2*T2^10 + 15*T1^3*T2^10 + 
      70*T1^4*T2^10 + 55*T1^5*T2^10 + 26*T1^6*T2^10 + 108*T1^7*T2^10 + 
      334*T1^8*T2^10 - 518*T1^9*T2^10 + 334*T1^10*T2^10 + 108*T1^11*T2^10 + 
      26*T1^12*T2^10 + 55*T1^13*T2^10 + 70*T1^14*T2^10 + 15*T1^15*T2^10 + 
      7*T1^16*T2^10 - 12*T1^3*T2^11 - 9*T1^4*T2^11 - 73*T1^5*T2^11 + 
      55*T1^6*T2^11 - 112*T1^7*T2^11 - 158*T1^8*T2^11 + 108*T1^9*T2^11 + 
      108*T1^10*T2^11 - 158*T1^11*T2^11 - 112*T1^12*T2^11 + 55*T1^13*T2^11 - 
      73*T1^14*T2^11 - 9*T1^15*T2^11 - 12*T1^16*T2^11 + 15*T1^4*T2^12 - 
      9*T1^5*T2^12 + 70*T1^6*T2^12 - 117*T1^7*T2^12 + 232*T1^8*T2^12 - 
      112*T1^9*T2^12 + 26*T1^10*T2^12 - 112*T1^11*T2^12 + 232*T1^12*T2^12 - 
      117*T1^13*T2^12 + 70*T1^14*T2^12 - 9*T1^15*T2^12 + 15*T1^16*T2^12 - 
      12*T1^5*T2^13 + 15*T1^6*T2^13 - 46*T1^7*T2^13 + 70*T1^8*T2^13 - 
      117*T1^9*T2^13 + 55*T1^10*T2^13 + 55*T1^11*T2^13 - 117*T1^12*T2^13 + 
      70*T1^13*T2^13 - 46*T1^14*T2^13 + 15*T1^15*T2^13 - 12*T1^16*T2^13 + 
      7*T1^6*T2^14 - 12*T1^7*T2^14 + 29*T1^8*T2^14 - 46*T1^9*T2^14 + 
      70*T1^10*T2^14 - 73*T1^11*T2^14 + 70*T1^12*T2^14 - 46*T1^13*T2^14 + 
      29*T1^14*T2^14 - 12*T1^15*T2^14 + 7*T1^16*T2^14 - 3*T1^7*T2^15 + 
      6*T1^8*T2^15 - 12*T1^9*T2^15 + 15*T1^10*T2^15 - 9*T1^11*T2^15 - 
      9*T1^12*T2^15 + 15*T1^13*T2^15 - 12*T1^14*T2^15 + 6*T1^15*T2^15 - 
      3*T1^16*T2^15 + T1^8*T2^16 - 3*T1^9*T2^16 + 7*T1^10*T2^16 - 
      12*T1^11*T2^16 + 15*T1^12*T2^16 - 12*T1^13*T2^16 + 7*T1^14*T2^16 - 
      3*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   (111 - 362*T1 + 675*T1^2 - 910*T1^3 + 1011*T1^4 - 910*T1^5 + 675*T1^6 - 
     362*T1^7 + 111*T1^8 - 362*T2 + 830*T1*T2 - 1052*T1^2*T2 + 806*T1^3*T2 - 
     347*T1^4*T2 - 347*T1^5*T2 + 806*T1^6*T2 - 1052*T1^7*T2 + 830*T1^8*T2 - 
     362*T1^9*T2 + 675*T2^2 - 1052*T1*T2^2 + 938*T1^2*T2^2 - 440*T1^3*T2^2 + 
     273*T1^4*T2^2 + 60*T1^5*T2^2 + 273*T1^6*T2^2 - 440*T1^7*T2^2 + 
     938*T1^8*T2^2 - 1052*T1^9*T2^2 + 675*T1^10*T2^2 - 910*T2^3 + 
     806*T1*T2^3 - 440*T1^2*T2^3 + 12*T1^3*T2^3 - 244*T1^4*T2^3 - 
     233*T1^5*T2^3 - 233*T1^6*T2^3 - 244*T1^7*T2^3 + 12*T1^8*T2^3 - 
     440*T1^9*T2^3 + 806*T1^10*T2^3 - 910*T1^11*T2^3 + 1011*T2^4 - 
     347*T1*T2^4 + 273*T1^2*T2^4 - 244*T1^3*T2^4 + 850*T1^4*T2^4 - 
     162*T1^5*T2^4 + 1018*T1^6*T2^4 - 162*T1^7*T2^4 + 850*T1^8*T2^4 - 
     244*T1^9*T2^4 + 273*T1^10*T2^4 - 347*T1^11*T2^4 + 1011*T1^12*T2^4 - 
     910*T2^5 - 347*T1*T2^5 + 60*T1^2*T2^5 - 233*T1^3*T2^5 - 162*T1^4*T2^5 - 
     826*T1^5*T2^5 - 539*T1^6*T2^5 - 539*T1^7*T2^5 - 826*T1^8*T2^5 - 
     162*T1^9*T2^5 - 233*T1^10*T2^5 + 60*T1^11*T2^5 - 347*T1^12*T2^5 - 
     910*T1^13*T2^5 + 675*T2^6 + 806*T1*T2^6 + 273*T1^2*T2^6 - 
     233*T1^3*T2^6 + 1018*T1^4*T2^6 - 539*T1^5*T2^6 + 2511*T1^6*T2^6 - 
     1031*T1^7*T2^6 + 2511*T1^8*T2^6 - 539*T1^9*T2^6 + 1018*T1^10*T2^6 - 
     233*T1^11*T2^6 + 273*T1^12*T2^6 + 806*T1^13*T2^6 + 675*T1^14*T2^6 - 
     362*T2^7 - 1052*T1*T2^7 - 440*T1^2*T2^7 - 244*T1^3*T2^7 - 
     162*T1^4*T2^7 - 539*T1^5*T2^7 - 1031*T1^6*T2^7 - 924*T1^7*T2^7 - 
     924*T1^8*T2^7 - 1031*T1^9*T2^7 - 539*T1^10*T2^7 - 162*T1^11*T2^7 - 
     244*T1^12*T2^7 - 440*T1^13*T2^7 - 1052*T1^14*T2^7 - 362*T1^15*T2^7 + 
     111*T2^8 + 830*T1*T2^8 + 938*T1^2*T2^8 + 12*T1^3*T2^8 + 850*T1^4*T2^8 - 
     826*T1^5*T2^8 + 2511*T1^6*T2^8 - 924*T1^7*T2^8 + 3060*T1^8*T2^8 - 
     924*T1^9*T2^8 + 2511*T1^10*T2^8 - 826*T1^11*T2^8 + 850*T1^12*T2^8 + 
     12*T1^13*T2^8 + 938*T1^14*T2^8 + 830*T1^15*T2^8 + 111*T1^16*T2^8 - 
     362*T1*T2^9 - 1052*T1^2*T2^9 - 440*T1^3*T2^9 - 244*T1^4*T2^9 - 
     162*T1^5*T2^9 - 539*T1^6*T2^9 - 1031*T1^7*T2^9 - 924*T1^8*T2^9 - 
     924*T1^9*T2^9 - 1031*T1^10*T2^9 - 539*T1^11*T2^9 - 162*T1^12*T2^9 - 
     244*T1^13*T2^9 - 440*T1^14*T2^9 - 1052*T1^15*T2^9 - 362*T1^16*T2^9 + 
     675*T1^2*T2^10 + 806*T1^3*T2^10 + 273*T1^4*T2^10 - 233*T1^5*T2^10 + 
     1018*T1^6*T2^10 - 539*T1^7*T2^10 + 2511*T1^8*T2^10 - 1031*T1^9*T2^10 + 
     2511*T1^10*T2^10 - 539*T1^11*T2^10 + 1018*T1^12*T2^10 - 
     233*T1^13*T2^10 + 273*T1^14*T2^10 + 806*T1^15*T2^10 + 675*T1^16*T2^10 - 
     910*T1^3*T2^11 - 347*T1^4*T2^11 + 60*T1^5*T2^11 - 233*T1^6*T2^11 - 
     162*T1^7*T2^11 - 826*T1^8*T2^11 - 539*T1^9*T2^11 - 539*T1^10*T2^11 - 
     826*T1^11*T2^11 - 162*T1^12*T2^11 - 233*T1^13*T2^11 + 60*T1^14*T2^11 - 
     347*T1^15*T2^11 - 910*T1^16*T2^11 + 1011*T1^4*T2^12 - 347*T1^5*T2^12 + 
     273*T1^6*T2^12 - 244*T1^7*T2^12 + 850*T1^8*T2^12 - 162*T1^9*T2^12 + 
     1018*T1^10*T2^12 - 162*T1^11*T2^12 + 850*T1^12*T2^12 - 244*T1^13*T2^12 + 
     273*T1^14*T2^12 - 347*T1^15*T2^12 + 1011*T1^16*T2^12 - 910*T1^5*T2^13 + 
     806*T1^6*T2^13 - 440*T1^7*T2^13 + 12*T1^8*T2^13 - 244*T1^9*T2^13 - 
     233*T1^10*T2^13 - 233*T1^11*T2^13 - 244*T1^12*T2^13 + 12*T1^13*T2^13 - 
     440*T1^14*T2^13 + 806*T1^15*T2^13 - 910*T1^16*T2^13 + 675*T1^6*T2^14 - 
     1052*T1^7*T2^14 + 938*T1^8*T2^14 - 440*T1^9*T2^14 + 273*T1^10*T2^14 + 
     60*T1^11*T2^14 + 273*T1^12*T2^14 - 440*T1^13*T2^14 + 938*T1^14*T2^14 - 
     1052*T1^15*T2^14 + 675*T1^16*T2^14 - 362*T1^7*T2^15 + 830*T1^8*T2^15 - 
     1052*T1^9*T2^15 + 806*T1^10*T2^15 - 347*T1^11*T2^15 - 347*T1^12*T2^15 + 
     806*T1^13*T2^15 - 1052*T1^14*T2^15 + 830*T1^15*T2^15 - 362*T1^16*T2^15 + 
     111*T1^8*T2^16 - 362*T1^9*T2^16 + 675*T1^10*T2^16 - 910*T1^11*T2^16 + 
     1011*T1^12*T2^16 - 910*T1^13*T2^16 + 675*T1^14*T2^16 - 362*T1^15*T2^16 + 
     111*T1^16*T2^16)/(T1^8*T2^8)}, 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), -((1 - 7*T1 + 23*T1^2 - 42*T1^3 + 49*T1^4 - 42*T1^5 + 23*T1^6 - 
      7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 112*T1^2*T2 + 133*T1^3*T2 - 
      49*T1^4*T2 - 49*T1^5*T2 + 133*T1^6*T2 - 112*T1^7*T2 + 42*T1^8*T2 - 
      7*T1^9*T2 + 23*T2^2 - 112*T1*T2^2 + 207*T1^2*T2^2 + 3*T1^3*T2^2 - 
      410*T1^4*T2^2 + 491*T1^5*T2^2 - 410*T1^6*T2^2 + 3*T1^7*T2^2 + 
      207*T1^8*T2^2 - 112*T1^9*T2^2 + 23*T1^10*T2^2 - 42*T2^3 + 133*T1*T2^3 + 
      3*T1^2*T2^3 - 830*T1^3*T2^3 + 1287*T1^4*T2^3 - 390*T1^5*T2^3 - 
      390*T1^6*T2^3 + 1287*T1^7*T2^3 - 830*T1^8*T2^3 + 3*T1^9*T2^3 + 
      133*T1^10*T2^3 - 42*T1^11*T2^3 + 49*T2^4 - 49*T1*T2^4 - 410*T1^2*T2^4 + 
      1287*T1^3*T2^4 - 89*T1^4*T2^4 - 2849*T1^5*T2^4 + 3325*T1^6*T2^4 - 
      2849*T1^7*T2^4 - 89*T1^8*T2^4 + 1287*T1^9*T2^4 - 410*T1^10*T2^4 - 
      49*T1^11*T2^4 + 49*T1^12*T2^4 - 42*T2^5 - 49*T1*T2^5 + 491*T1^2*T2^5 - 
      390*T1^3*T2^5 - 2849*T1^4*T2^5 + 5364*T1^5*T2^5 - 1825*T1^6*T2^5 - 
      1825*T1^7*T2^5 + 5364*T1^8*T2^5 - 2849*T1^9*T2^5 - 390*T1^10*T2^5 + 
      491*T1^11*T2^5 - 49*T1^12*T2^5 - 42*T1^13*T2^5 + 23*T2^6 + 
      133*T1*T2^6 - 410*T1^2*T2^6 - 390*T1^3*T2^6 + 3325*T1^4*T2^6 - 
      1825*T1^5*T2^6 - 6183*T1^6*T2^6 + 8831*T1^7*T2^6 - 6183*T1^8*T2^6 - 
      1825*T1^9*T2^6 + 3325*T1^10*T2^6 - 390*T1^11*T2^6 - 410*T1^12*T2^6 + 
      133*T1^13*T2^6 + 23*T1^14*T2^6 - 7*T2^7 - 112*T1*T2^7 + 3*T1^2*T2^7 + 
      1287*T1^3*T2^7 - 2849*T1^4*T2^7 - 1825*T1^5*T2^7 + 8831*T1^6*T2^7 - 
      4376*T1^7*T2^7 - 4376*T1^8*T2^7 + 8831*T1^9*T2^7 - 1825*T1^10*T2^7 - 
      2849*T1^11*T2^7 + 1287*T1^12*T2^7 + 3*T1^13*T2^7 - 112*T1^14*T2^7 - 
      7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 207*T1^2*T2^8 - 830*T1^3*T2^8 - 
      89*T1^4*T2^8 + 5364*T1^5*T2^8 - 6183*T1^6*T2^8 - 4376*T1^7*T2^8 + 
      9864*T1^8*T2^8 - 4376*T1^9*T2^8 - 6183*T1^10*T2^8 + 5364*T1^11*T2^8 - 
      89*T1^12*T2^8 - 830*T1^13*T2^8 + 207*T1^14*T2^8 + 42*T1^15*T2^8 + 
      T1^16*T2^8 - 7*T1*T2^9 - 112*T1^2*T2^9 + 3*T1^3*T2^9 + 1287*T1^4*T2^9 - 
      2849*T1^5*T2^9 - 1825*T1^6*T2^9 + 8831*T1^7*T2^9 - 4376*T1^8*T2^9 - 
      4376*T1^9*T2^9 + 8831*T1^10*T2^9 - 1825*T1^11*T2^9 - 2849*T1^12*T2^9 + 
      1287*T1^13*T2^9 + 3*T1^14*T2^9 - 112*T1^15*T2^9 - 7*T1^16*T2^9 + 
      23*T1^2*T2^10 + 133*T1^3*T2^10 - 410*T1^4*T2^10 - 390*T1^5*T2^10 + 
      3325*T1^6*T2^10 - 1825*T1^7*T2^10 - 6183*T1^8*T2^10 + 8831*T1^9*T2^10 - 
      6183*T1^10*T2^10 - 1825*T1^11*T2^10 + 3325*T1^12*T2^10 - 
      390*T1^13*T2^10 - 410*T1^14*T2^10 + 133*T1^15*T2^10 + 23*T1^16*T2^10 - 
      42*T1^3*T2^11 - 49*T1^4*T2^11 + 491*T1^5*T2^11 - 390*T1^6*T2^11 - 
      2849*T1^7*T2^11 + 5364*T1^8*T2^11 - 1825*T1^9*T2^11 - 
      1825*T1^10*T2^11 + 5364*T1^11*T2^11 - 2849*T1^12*T2^11 - 
      390*T1^13*T2^11 + 491*T1^14*T2^11 - 49*T1^15*T2^11 - 42*T1^16*T2^11 + 
      49*T1^4*T2^12 - 49*T1^5*T2^12 - 410*T1^6*T2^12 + 1287*T1^7*T2^12 - 
      89*T1^8*T2^12 - 2849*T1^9*T2^12 + 3325*T1^10*T2^12 - 2849*T1^11*T2^12 - 
      89*T1^12*T2^12 + 1287*T1^13*T2^12 - 410*T1^14*T2^12 - 49*T1^15*T2^12 + 
      49*T1^16*T2^12 - 42*T1^5*T2^13 + 133*T1^6*T2^13 + 3*T1^7*T2^13 - 
      830*T1^8*T2^13 + 1287*T1^9*T2^13 - 390*T1^10*T2^13 - 390*T1^11*T2^13 + 
      1287*T1^12*T2^13 - 830*T1^13*T2^13 + 3*T1^14*T2^13 + 133*T1^15*T2^13 - 
      42*T1^16*T2^13 + 23*T1^6*T2^14 - 112*T1^7*T2^14 + 207*T1^8*T2^14 + 
      3*T1^9*T2^14 - 410*T1^10*T2^14 + 491*T1^11*T2^14 - 410*T1^12*T2^14 + 
      3*T1^13*T2^14 + 207*T1^14*T2^14 - 112*T1^15*T2^14 + 23*T1^16*T2^14 - 
      7*T1^7*T2^15 + 42*T1^8*T2^15 - 112*T1^9*T2^15 + 133*T1^10*T2^15 - 
      49*T1^11*T2^15 - 49*T1^12*T2^15 + 133*T1^13*T2^15 - 112*T1^14*T2^15 + 
      42*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 
      23*T1^10*T2^16 - 42*T1^11*T2^16 + 49*T1^12*T2^16 - 42*T1^13*T2^16 + 
      23*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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), 0}, 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), -((7 - 35*T1 + 81*T1^2 - 123*T1^3 + 137*T1^4 - 123*T1^5 + 
      81*T1^6 - 35*T1^7 + 7*T1^8 - 35*T2 + 140*T1*T2 - 230*T1^2*T2 + 
      210*T1^3*T2 - 70*T1^4*T2 - 70*T1^5*T2 + 210*T1^6*T2 - 230*T1^7*T2 + 
      140*T1^8*T2 - 35*T1^9*T2 + 81*T2^2 - 230*T1*T2^2 + 133*T1^2*T2^2 + 
      247*T1^3*T2^2 - 658*T1^4*T2^2 + 715*T1^5*T2^2 - 658*T1^6*T2^2 + 
      247*T1^7*T2^2 + 133*T1^8*T2^2 - 230*T1^9*T2^2 + 81*T1^10*T2^2 - 
      123*T2^3 + 210*T1*T2^3 + 247*T1^2*T2^3 - 818*T1^3*T2^3 + 
      904*T1^4*T2^3 - 222*T1^5*T2^3 - 222*T1^6*T2^3 + 904*T1^7*T2^3 - 
      818*T1^8*T2^3 + 247*T1^9*T2^3 + 210*T1^10*T2^3 - 123*T1^11*T2^3 + 
      137*T2^4 - 70*T1*T2^4 - 658*T1^2*T2^4 + 904*T1^3*T2^4 - 182*T1^4*T2^4 - 
      1030*T1^5*T2^4 + 1020*T1^6*T2^4 - 1030*T1^7*T2^4 - 182*T1^8*T2^4 + 
      904*T1^9*T2^4 - 658*T1^10*T2^4 - 70*T1^11*T2^4 + 137*T1^12*T2^4 - 
      123*T2^5 - 70*T1*T2^5 + 715*T1^2*T2^5 - 222*T1^3*T2^5 - 
      1030*T1^4*T2^5 + 1668*T1^5*T2^5 - 372*T1^6*T2^5 - 372*T1^7*T2^5 + 
      1668*T1^8*T2^5 - 1030*T1^9*T2^5 - 222*T1^10*T2^5 + 715*T1^11*T2^5 - 
      70*T1^12*T2^5 - 123*T1^13*T2^5 + 81*T2^6 + 210*T1*T2^6 - 
      658*T1^2*T2^6 - 222*T1^3*T2^6 + 1020*T1^4*T2^6 - 372*T1^5*T2^6 - 
      1547*T1^6*T2^6 + 1671*T1^7*T2^6 - 1547*T1^8*T2^6 - 372*T1^9*T2^6 + 
      1020*T1^10*T2^6 - 222*T1^11*T2^6 - 658*T1^12*T2^6 + 210*T1^13*T2^6 + 
      81*T1^14*T2^6 - 35*T2^7 - 230*T1*T2^7 + 247*T1^2*T2^7 + 904*T1^3*T2^7 - 
      1030*T1^4*T2^7 - 372*T1^5*T2^7 + 1671*T1^6*T2^7 - 502*T1^7*T2^7 - 
      502*T1^8*T2^7 + 1671*T1^9*T2^7 - 372*T1^10*T2^7 - 1030*T1^11*T2^7 + 
      904*T1^12*T2^7 + 247*T1^13*T2^7 - 230*T1^14*T2^7 - 35*T1^15*T2^7 + 
      7*T2^8 + 140*T1*T2^8 + 133*T1^2*T2^8 - 818*T1^3*T2^8 - 182*T1^4*T2^8 + 
      1668*T1^5*T2^8 - 1547*T1^6*T2^8 - 502*T1^7*T2^8 + 924*T1^8*T2^8 - 
      502*T1^9*T2^8 - 1547*T1^10*T2^8 + 1668*T1^11*T2^8 - 182*T1^12*T2^8 - 
      818*T1^13*T2^8 + 133*T1^14*T2^8 + 140*T1^15*T2^8 + 7*T1^16*T2^8 - 
      35*T1*T2^9 - 230*T1^2*T2^9 + 247*T1^3*T2^9 + 904*T1^4*T2^9 - 
      1030*T1^5*T2^9 - 372*T1^6*T2^9 + 1671*T1^7*T2^9 - 502*T1^8*T2^9 - 
      502*T1^9*T2^9 + 1671*T1^10*T2^9 - 372*T1^11*T2^9 - 1030*T1^12*T2^9 + 
      904*T1^13*T2^9 + 247*T1^14*T2^9 - 230*T1^15*T2^9 - 35*T1^16*T2^9 + 
      81*T1^2*T2^10 + 210*T1^3*T2^10 - 658*T1^4*T2^10 - 222*T1^5*T2^10 + 
      1020*T1^6*T2^10 - 372*T1^7*T2^10 - 1547*T1^8*T2^10 + 1671*T1^9*T2^10 - 
      1547*T1^10*T2^10 - 372*T1^11*T2^10 + 1020*T1^12*T2^10 - 
      222*T1^13*T2^10 - 658*T1^14*T2^10 + 210*T1^15*T2^10 + 81*T1^16*T2^10 - 
      123*T1^3*T2^11 - 70*T1^4*T2^11 + 715*T1^5*T2^11 - 222*T1^6*T2^11 - 
      1030*T1^7*T2^11 + 1668*T1^8*T2^11 - 372*T1^9*T2^11 - 372*T1^10*T2^11 + 
      1668*T1^11*T2^11 - 1030*T1^12*T2^11 - 222*T1^13*T2^11 + 
      715*T1^14*T2^11 - 70*T1^15*T2^11 - 123*T1^16*T2^11 + 137*T1^4*T2^12 - 
      70*T1^5*T2^12 - 658*T1^6*T2^12 + 904*T1^7*T2^12 - 182*T1^8*T2^12 - 
      1030*T1^9*T2^12 + 1020*T1^10*T2^12 - 1030*T1^11*T2^12 - 
      182*T1^12*T2^12 + 904*T1^13*T2^12 - 658*T1^14*T2^12 - 70*T1^15*T2^12 + 
      137*T1^16*T2^12 - 123*T1^5*T2^13 + 210*T1^6*T2^13 + 247*T1^7*T2^13 - 
      818*T1^8*T2^13 + 904*T1^9*T2^13 - 222*T1^10*T2^13 - 222*T1^11*T2^13 + 
      904*T1^12*T2^13 - 818*T1^13*T2^13 + 247*T1^14*T2^13 + 210*T1^15*T2^13 - 
      123*T1^16*T2^13 + 81*T1^6*T2^14 - 230*T1^7*T2^14 + 133*T1^8*T2^14 + 
      247*T1^9*T2^14 - 658*T1^10*T2^14 + 715*T1^11*T2^14 - 658*T1^12*T2^14 + 
      247*T1^13*T2^14 + 133*T1^14*T2^14 - 230*T1^15*T2^14 + 81*T1^16*T2^14 - 
      35*T1^7*T2^15 + 140*T1^8*T2^15 - 230*T1^9*T2^15 + 210*T1^10*T2^15 - 
      70*T1^11*T2^15 - 70*T1^12*T2^15 + 210*T1^13*T2^15 - 230*T1^14*T2^15 + 
      140*T1^15*T2^15 - 35*T1^16*T2^15 + 7*T1^8*T2^16 - 35*T1^9*T2^16 + 
      81*T1^10*T2^16 - 123*T1^11*T2^16 + 137*T1^12*T2^16 - 123*T1^13*T2^16 + 
      81*T1^14*T2^16 - 35*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 821] -> 
  {-((4 - 20*T + 44*T^2 - 57*T^3 + 44*T^4 - 20*T^5 + 4*T^6)/T^3), 0}, 
 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), 
   -((25 - 99*T1 + 184*T1^2 - 269*T1^3 + 305*T1^4 - 269*T1^5 + 184*T1^6 - 
      99*T1^7 + 25*T1^8 - 99*T2 + 294*T1*T2 - 339*T1^2*T2 + 339*T1^3*T2 - 
      144*T1^4*T2 - 144*T1^5*T2 + 339*T1^6*T2 - 339*T1^7*T2 + 294*T1^8*T2 - 
      99*T1^9*T2 + 184*T2^2 - 339*T1*T2^2 - 22*T1^2*T2^2 + 232*T1^3*T2^2 - 
      711*T1^4*T2^2 + 936*T1^5*T2^2 - 711*T1^6*T2^2 + 232*T1^7*T2^2 - 
      22*T1^8*T2^2 - 339*T1^9*T2^2 + 184*T1^10*T2^2 - 269*T2^3 + 
      339*T1*T2^3 + 232*T1^2*T2^3 - 44*T1^3*T2^3 + 417*T1^4*T2^3 - 
      209*T1^5*T2^3 - 209*T1^6*T2^3 + 417*T1^7*T2^3 - 44*T1^8*T2^3 + 
      232*T1^9*T2^3 + 339*T1^10*T2^3 - 269*T1^11*T2^3 + 305*T2^4 - 
      144*T1*T2^4 - 711*T1^2*T2^4 + 417*T1^3*T2^4 - 1422*T1^4*T2^4 + 
      1305*T1^5*T2^4 - 1296*T1^6*T2^4 + 1305*T1^7*T2^4 - 1422*T1^8*T2^4 + 
      417*T1^9*T2^4 - 711*T1^10*T2^4 - 144*T1^11*T2^4 + 305*T1^12*T2^4 - 
      269*T2^5 - 144*T1*T2^5 + 936*T1^2*T2^5 - 209*T1^3*T2^5 + 
      1305*T1^4*T2^5 - 362*T1^5*T2^5 + 175*T1^6*T2^5 + 175*T1^7*T2^5 - 
      362*T1^8*T2^5 + 1305*T1^9*T2^5 - 209*T1^10*T2^5 + 936*T1^11*T2^5 - 
      144*T1^12*T2^5 - 269*T1^13*T2^5 + 184*T2^6 + 339*T1*T2^6 - 
      711*T1^2*T2^6 - 209*T1^3*T2^6 - 1296*T1^4*T2^6 + 175*T1^5*T2^6 - 
      896*T1^6*T2^6 + 918*T1^7*T2^6 - 896*T1^8*T2^6 + 175*T1^9*T2^6 - 
      1296*T1^10*T2^6 - 209*T1^11*T2^6 - 711*T1^12*T2^6 + 339*T1^13*T2^6 + 
      184*T1^14*T2^6 - 99*T2^7 - 339*T1*T2^7 + 232*T1^2*T2^7 + 
      417*T1^3*T2^7 + 1305*T1^4*T2^7 + 175*T1^5*T2^7 + 918*T1^6*T2^7 - 
      274*T1^7*T2^7 - 274*T1^8*T2^7 + 918*T1^9*T2^7 + 175*T1^10*T2^7 + 
      1305*T1^11*T2^7 + 417*T1^12*T2^7 + 232*T1^13*T2^7 - 339*T1^14*T2^7 - 
      99*T1^15*T2^7 + 25*T2^8 + 294*T1*T2^8 - 22*T1^2*T2^8 - 44*T1^3*T2^8 - 
      1422*T1^4*T2^8 - 362*T1^5*T2^8 - 896*T1^6*T2^8 - 274*T1^7*T2^8 + 
      456*T1^8*T2^8 - 274*T1^9*T2^8 - 896*T1^10*T2^8 - 362*T1^11*T2^8 - 
      1422*T1^12*T2^8 - 44*T1^13*T2^8 - 22*T1^14*T2^8 + 294*T1^15*T2^8 + 
      25*T1^16*T2^8 - 99*T1*T2^9 - 339*T1^2*T2^9 + 232*T1^3*T2^9 + 
      417*T1^4*T2^9 + 1305*T1^5*T2^9 + 175*T1^6*T2^9 + 918*T1^7*T2^9 - 
      274*T1^8*T2^9 - 274*T1^9*T2^9 + 918*T1^10*T2^9 + 175*T1^11*T2^9 + 
      1305*T1^12*T2^9 + 417*T1^13*T2^9 + 232*T1^14*T2^9 - 339*T1^15*T2^9 - 
      99*T1^16*T2^9 + 184*T1^2*T2^10 + 339*T1^3*T2^10 - 711*T1^4*T2^10 - 
      209*T1^5*T2^10 - 1296*T1^6*T2^10 + 175*T1^7*T2^10 - 896*T1^8*T2^10 + 
      918*T1^9*T2^10 - 896*T1^10*T2^10 + 175*T1^11*T2^10 - 1296*T1^12*T2^10 - 
      209*T1^13*T2^10 - 711*T1^14*T2^10 + 339*T1^15*T2^10 + 184*T1^16*T2^10 - 
      269*T1^3*T2^11 - 144*T1^4*T2^11 + 936*T1^5*T2^11 - 209*T1^6*T2^11 + 
      1305*T1^7*T2^11 - 362*T1^8*T2^11 + 175*T1^9*T2^11 + 175*T1^10*T2^11 - 
      362*T1^11*T2^11 + 1305*T1^12*T2^11 - 209*T1^13*T2^11 + 
      936*T1^14*T2^11 - 144*T1^15*T2^11 - 269*T1^16*T2^11 + 305*T1^4*T2^12 - 
      144*T1^5*T2^12 - 711*T1^6*T2^12 + 417*T1^7*T2^12 - 1422*T1^8*T2^12 + 
      1305*T1^9*T2^12 - 1296*T1^10*T2^12 + 1305*T1^11*T2^12 - 
      1422*T1^12*T2^12 + 417*T1^13*T2^12 - 711*T1^14*T2^12 - 
      144*T1^15*T2^12 + 305*T1^16*T2^12 - 269*T1^5*T2^13 + 339*T1^6*T2^13 + 
      232*T1^7*T2^13 - 44*T1^8*T2^13 + 417*T1^9*T2^13 - 209*T1^10*T2^13 - 
      209*T1^11*T2^13 + 417*T1^12*T2^13 - 44*T1^13*T2^13 + 232*T1^14*T2^13 + 
      339*T1^15*T2^13 - 269*T1^16*T2^13 + 184*T1^6*T2^14 - 339*T1^7*T2^14 - 
      22*T1^8*T2^14 + 232*T1^9*T2^14 - 711*T1^10*T2^14 + 936*T1^11*T2^14 - 
      711*T1^12*T2^14 + 232*T1^13*T2^14 - 22*T1^14*T2^14 - 339*T1^15*T2^14 + 
      184*T1^16*T2^14 - 99*T1^7*T2^15 + 294*T1^8*T2^15 - 339*T1^9*T2^15 + 
      339*T1^10*T2^15 - 144*T1^11*T2^15 - 144*T1^12*T2^15 + 339*T1^13*T2^15 - 
      339*T1^14*T2^15 + 294*T1^15*T2^15 - 99*T1^16*T2^15 + 25*T1^8*T2^16 - 
      99*T1^9*T2^16 + 184*T1^10*T2^16 - 269*T1^11*T2^16 + 305*T1^12*T2^16 - 
      269*T1^13*T2^16 + 184*T1^14*T2^16 - 99*T1^15*T2^16 + 25*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 823] -> 
  {-((4 - 17*T + 31*T^2 - 37*T^3 + 31*T^4 - 17*T^5 + 4*T^6)/T^3), 
   (-2*(72 - 302*T1 + 546*T1^2 - 652*T1^3 + 546*T1^4 - 302*T1^5 + 72*T1^6 - 
      302*T2 + 967*T1*T2 - 1028*T1^2*T2 + 446*T1^3*T2 + 446*T1^4*T2 - 
      1028*T1^5*T2 + 967*T1^6*T2 - 302*T1^7*T2 + 546*T2^2 - 1028*T1*T2^2 - 
      642*T1^2*T2^2 + 2488*T1^3*T2^2 - 3351*T1^4*T2^2 + 2488*T1^5*T2^2 - 
      642*T1^6*T2^2 - 1028*T1^7*T2^2 + 546*T1^8*T2^2 - 652*T2^3 + 
      446*T1*T2^3 + 2488*T1^2*T2^3 - 2941*T1^3*T2^3 + 1393*T1^4*T2^3 + 
      1393*T1^5*T2^3 - 2941*T1^6*T2^3 + 2488*T1^7*T2^3 + 446*T1^8*T2^3 - 
      652*T1^9*T2^3 + 546*T2^4 + 446*T1*T2^4 - 3351*T1^2*T2^4 + 
      1393*T1^3*T2^4 + 959*T1^4*T2^4 - 2491*T1^5*T2^4 + 959*T1^6*T2^4 + 
      1393*T1^7*T2^4 - 3351*T1^8*T2^4 + 446*T1^9*T2^4 + 546*T1^10*T2^4 - 
      302*T2^5 - 1028*T1*T2^5 + 2488*T1^2*T2^5 + 1393*T1^3*T2^5 - 
      2491*T1^4*T2^5 + 1614*T1^5*T2^5 + 1614*T1^6*T2^5 - 2491*T1^7*T2^5 + 
      1393*T1^8*T2^5 + 2488*T1^9*T2^5 - 1028*T1^10*T2^5 - 302*T1^11*T2^5 + 
      72*T2^6 + 967*T1*T2^6 - 642*T1^2*T2^6 - 2941*T1^3*T2^6 + 
      959*T1^4*T2^6 + 1614*T1^5*T2^6 - 3726*T1^6*T2^6 + 1614*T1^7*T2^6 + 
      959*T1^8*T2^6 - 2941*T1^9*T2^6 - 642*T1^10*T2^6 + 967*T1^11*T2^6 + 
      72*T1^12*T2^6 - 302*T1*T2^7 - 1028*T1^2*T2^7 + 2488*T1^3*T2^7 + 
      1393*T1^4*T2^7 - 2491*T1^5*T2^7 + 1614*T1^6*T2^7 + 1614*T1^7*T2^7 - 
      2491*T1^8*T2^7 + 1393*T1^9*T2^7 + 2488*T1^10*T2^7 - 1028*T1^11*T2^7 - 
      302*T1^12*T2^7 + 546*T1^2*T2^8 + 446*T1^3*T2^8 - 3351*T1^4*T2^8 + 
      1393*T1^5*T2^8 + 959*T1^6*T2^8 - 2491*T1^7*T2^8 + 959*T1^8*T2^8 + 
      1393*T1^9*T2^8 - 3351*T1^10*T2^8 + 446*T1^11*T2^8 + 546*T1^12*T2^8 - 
      652*T1^3*T2^9 + 446*T1^4*T2^9 + 2488*T1^5*T2^9 - 2941*T1^6*T2^9 + 
      1393*T1^7*T2^9 + 1393*T1^8*T2^9 - 2941*T1^9*T2^9 + 2488*T1^10*T2^9 + 
      446*T1^11*T2^9 - 652*T1^12*T2^9 + 546*T1^4*T2^10 - 1028*T1^5*T2^10 - 
      642*T1^6*T2^10 + 2488*T1^7*T2^10 - 3351*T1^8*T2^10 + 2488*T1^9*T2^10 - 
      642*T1^10*T2^10 - 1028*T1^11*T2^10 + 546*T1^12*T2^10 - 302*T1^5*T2^11 + 
      967*T1^6*T2^11 - 1028*T1^7*T2^11 + 446*T1^8*T2^11 + 446*T1^9*T2^11 - 
      1028*T1^10*T2^11 + 967*T1^11*T2^11 - 302*T1^12*T2^11 + 72*T1^6*T2^12 - 
      302*T1^7*T2^12 + 546*T1^8*T2^12 - 652*T1^9*T2^12 + 546*T1^10*T2^12 - 
      302*T1^11*T2^12 + 72*T1^12*T2^12))/(T1^6*T2^6)}, 
 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, -((1 - 3*T1 + 7*T1^2 - 13*T1^3 + 19*T1^4 - 21*T1^5 + 
      19*T1^6 - 13*T1^7 + 7*T1^8 - 3*T1^9 + T1^10 - 3*T2 + 6*T1*T2 - 
      12*T1^2*T2 + 18*T1^3*T2 - 18*T1^4*T2 + 6*T1^5*T2 + 6*T1^6*T2 - 
      18*T1^7*T2 + 18*T1^8*T2 - 12*T1^9*T2 + 6*T1^10*T2 - 3*T1^11*T2 + 
      7*T2^2 - 12*T1*T2^2 + 29*T1^2*T2^2 - 48*T1^3*T2^2 + 61*T1^4*T2^2 - 
      57*T1^5*T2^2 + 63*T1^6*T2^2 - 57*T1^7*T2^2 + 61*T1^8*T2^2 - 
      48*T1^9*T2^2 + 29*T1^10*T2^2 - 12*T1^11*T2^2 + 7*T1^12*T2^2 - 13*T2^3 + 
      18*T1*T2^3 - 48*T1^2*T2^3 + 68*T1^3*T2^3 - 72*T1^4*T2^3 + 
      37*T1^5*T2^3 - 23*T1^6*T2^3 - 23*T1^7*T2^3 + 37*T1^8*T2^3 - 
      72*T1^9*T2^3 + 68*T1^10*T2^3 - 48*T1^11*T2^3 + 18*T1^12*T2^3 - 
      13*T1^13*T2^3 + 19*T2^4 - 18*T1*T2^4 + 61*T1^2*T2^4 - 72*T1^3*T2^4 + 
      74*T1^4*T2^4 - 31*T1^5*T2^4 + 55*T1^6*T2^4 - 24*T1^7*T2^4 + 
      55*T1^8*T2^4 - 31*T1^9*T2^4 + 74*T1^10*T2^4 - 72*T1^11*T2^4 + 
      61*T1^12*T2^4 - 18*T1^13*T2^4 + 19*T1^14*T2^4 - 21*T2^5 + 6*T1*T2^5 - 
      57*T1^2*T2^5 + 37*T1^3*T2^5 - 31*T1^4*T2^5 - 18*T1^5*T2^5 - 
      40*T1^6*T2^5 - 20*T1^7*T2^5 - 20*T1^8*T2^5 - 40*T1^9*T2^5 - 
      18*T1^10*T2^5 - 31*T1^11*T2^5 + 37*T1^12*T2^5 - 57*T1^13*T2^5 + 
      6*T1^14*T2^5 - 21*T1^15*T2^5 + 19*T2^6 + 6*T1*T2^6 + 63*T1^2*T2^6 - 
      23*T1^3*T2^6 + 55*T1^4*T2^6 - 40*T1^5*T2^6 + 116*T1^6*T2^6 + 
      8*T1^7*T2^6 + 56*T1^8*T2^6 + 8*T1^9*T2^6 + 116*T1^10*T2^6 - 
      40*T1^11*T2^6 + 55*T1^12*T2^6 - 23*T1^13*T2^6 + 63*T1^14*T2^6 + 
      6*T1^15*T2^6 + 19*T1^16*T2^6 - 13*T2^7 - 18*T1*T2^7 - 57*T1^2*T2^7 - 
      23*T1^3*T2^7 - 24*T1^4*T2^7 - 20*T1^5*T2^7 + 8*T1^6*T2^7 - 
      176*T1^7*T2^7 - 3*T1^8*T2^7 - 3*T1^9*T2^7 - 176*T1^10*T2^7 + 
      8*T1^11*T2^7 - 20*T1^12*T2^7 - 24*T1^13*T2^7 - 23*T1^14*T2^7 - 
      57*T1^15*T2^7 - 18*T1^16*T2^7 - 13*T1^17*T2^7 + 7*T2^8 + 18*T1*T2^8 + 
      61*T1^2*T2^8 + 37*T1^3*T2^8 + 55*T1^4*T2^8 - 20*T1^5*T2^8 + 
      56*T1^6*T2^8 - 3*T1^7*T2^8 + 334*T1^8*T2^8 - 278*T1^9*T2^8 + 
      334*T1^10*T2^8 - 3*T1^11*T2^8 + 56*T1^12*T2^8 - 20*T1^13*T2^8 + 
      55*T1^14*T2^8 + 37*T1^15*T2^8 + 61*T1^16*T2^8 + 18*T1^17*T2^8 + 
      7*T1^18*T2^8 - 3*T2^9 - 12*T1*T2^9 - 48*T1^2*T2^9 - 72*T1^3*T2^9 - 
      31*T1^4*T2^9 - 40*T1^5*T2^9 + 8*T1^6*T2^9 - 3*T1^7*T2^9 - 
      278*T1^8*T2^9 + 22*T1^9*T2^9 + 22*T1^10*T2^9 - 278*T1^11*T2^9 - 
      3*T1^12*T2^9 + 8*T1^13*T2^9 - 40*T1^14*T2^9 - 31*T1^15*T2^9 - 
      72*T1^16*T2^9 - 48*T1^17*T2^9 - 12*T1^18*T2^9 - 3*T1^19*T2^9 + T2^10 + 
      6*T1*T2^10 + 29*T1^2*T2^10 + 68*T1^3*T2^10 + 74*T1^4*T2^10 - 
      18*T1^5*T2^10 + 116*T1^6*T2^10 - 176*T1^7*T2^10 + 334*T1^8*T2^10 + 
      22*T1^9*T2^10 + 36*T1^10*T2^10 + 22*T1^11*T2^10 + 334*T1^12*T2^10 - 
      176*T1^13*T2^10 + 116*T1^14*T2^10 - 18*T1^15*T2^10 + 74*T1^16*T2^10 + 
      68*T1^17*T2^10 + 29*T1^18*T2^10 + 6*T1^19*T2^10 + T1^20*T2^10 - 
      3*T1*T2^11 - 12*T1^2*T2^11 - 48*T1^3*T2^11 - 72*T1^4*T2^11 - 
      31*T1^5*T2^11 - 40*T1^6*T2^11 + 8*T1^7*T2^11 - 3*T1^8*T2^11 - 
      278*T1^9*T2^11 + 22*T1^10*T2^11 + 22*T1^11*T2^11 - 278*T1^12*T2^11 - 
      3*T1^13*T2^11 + 8*T1^14*T2^11 - 40*T1^15*T2^11 - 31*T1^16*T2^11 - 
      72*T1^17*T2^11 - 48*T1^18*T2^11 - 12*T1^19*T2^11 - 3*T1^20*T2^11 + 
      7*T1^2*T2^12 + 18*T1^3*T2^12 + 61*T1^4*T2^12 + 37*T1^5*T2^12 + 
      55*T1^6*T2^12 - 20*T1^7*T2^12 + 56*T1^8*T2^12 - 3*T1^9*T2^12 + 
      334*T1^10*T2^12 - 278*T1^11*T2^12 + 334*T1^12*T2^12 - 3*T1^13*T2^12 + 
      56*T1^14*T2^12 - 20*T1^15*T2^12 + 55*T1^16*T2^12 + 37*T1^17*T2^12 + 
      61*T1^18*T2^12 + 18*T1^19*T2^12 + 7*T1^20*T2^12 - 13*T1^3*T2^13 - 
      18*T1^4*T2^13 - 57*T1^5*T2^13 - 23*T1^6*T2^13 - 24*T1^7*T2^13 - 
      20*T1^8*T2^13 + 8*T1^9*T2^13 - 176*T1^10*T2^13 - 3*T1^11*T2^13 - 
      3*T1^12*T2^13 - 176*T1^13*T2^13 + 8*T1^14*T2^13 - 20*T1^15*T2^13 - 
      24*T1^16*T2^13 - 23*T1^17*T2^13 - 57*T1^18*T2^13 - 18*T1^19*T2^13 - 
      13*T1^20*T2^13 + 19*T1^4*T2^14 + 6*T1^5*T2^14 + 63*T1^6*T2^14 - 
      23*T1^7*T2^14 + 55*T1^8*T2^14 - 40*T1^9*T2^14 + 116*T1^10*T2^14 + 
      8*T1^11*T2^14 + 56*T1^12*T2^14 + 8*T1^13*T2^14 + 116*T1^14*T2^14 - 
      40*T1^15*T2^14 + 55*T1^16*T2^14 - 23*T1^17*T2^14 + 63*T1^18*T2^14 + 
      6*T1^19*T2^14 + 19*T1^20*T2^14 - 21*T1^5*T2^15 + 6*T1^6*T2^15 - 
      57*T1^7*T2^15 + 37*T1^8*T2^15 - 31*T1^9*T2^15 - 18*T1^10*T2^15 - 
      40*T1^11*T2^15 - 20*T1^12*T2^15 - 20*T1^13*T2^15 - 40*T1^14*T2^15 - 
      18*T1^15*T2^15 - 31*T1^16*T2^15 + 37*T1^17*T2^15 - 57*T1^18*T2^15 + 
      6*T1^19*T2^15 - 21*T1^20*T2^15 + 19*T1^6*T2^16 - 18*T1^7*T2^16 + 
      61*T1^8*T2^16 - 72*T1^9*T2^16 + 74*T1^10*T2^16 - 31*T1^11*T2^16 + 
      55*T1^12*T2^16 - 24*T1^13*T2^16 + 55*T1^14*T2^16 - 31*T1^15*T2^16 + 
      74*T1^16*T2^16 - 72*T1^17*T2^16 + 61*T1^18*T2^16 - 18*T1^19*T2^16 + 
      19*T1^20*T2^16 - 13*T1^7*T2^17 + 18*T1^8*T2^17 - 48*T1^9*T2^17 + 
      68*T1^10*T2^17 - 72*T1^11*T2^17 + 37*T1^12*T2^17 - 23*T1^13*T2^17 - 
      23*T1^14*T2^17 + 37*T1^15*T2^17 - 72*T1^16*T2^17 + 68*T1^17*T2^17 - 
      48*T1^18*T2^17 + 18*T1^19*T2^17 - 13*T1^20*T2^17 + 7*T1^8*T2^18 - 
      12*T1^9*T2^18 + 29*T1^10*T2^18 - 48*T1^11*T2^18 + 61*T1^12*T2^18 - 
      57*T1^13*T2^18 + 63*T1^14*T2^18 - 57*T1^15*T2^18 + 61*T1^16*T2^18 - 
      48*T1^17*T2^18 + 29*T1^18*T2^18 - 12*T1^19*T2^18 + 7*T1^20*T2^18 - 
      3*T1^9*T2^19 + 6*T1^10*T2^19 - 12*T1^11*T2^19 + 18*T1^12*T2^19 - 
      18*T1^13*T2^19 + 6*T1^14*T2^19 + 6*T1^15*T2^19 - 18*T1^16*T2^19 + 
      18*T1^17*T2^19 - 12*T1^18*T2^19 + 6*T1^19*T2^19 - 3*T1^20*T2^19 + 
      T1^10*T2^20 - 3*T1^11*T2^20 + 7*T1^12*T2^20 - 13*T1^13*T2^20 + 
      19*T1^14*T2^20 - 21*T1^15*T2^20 + 19*T1^16*T2^20 - 13*T1^17*T2^20 + 
      7*T1^18*T2^20 - 3*T1^19*T2^20 + T1^20*T2^20)/(T1^10*T2^10))}, 
 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, -((1 - 3*T1 + 7*T1^2 - 12*T1^3 + 15*T1^4 - 12*T1^5 + 7*T1^6 - 
      3*T1^7 + T1^8 - 3*T2 + 6*T1*T2 - 12*T1^2*T2 + 15*T1^3*T2 - 9*T1^4*T2 - 
      9*T1^5*T2 + 15*T1^6*T2 - 12*T1^7*T2 + 6*T1^8*T2 - 3*T1^9*T2 + 7*T2^2 - 
      12*T1*T2^2 + 35*T1^2*T2^2 - 59*T1^3*T2^2 + 80*T1^4*T2^2 - 
      77*T1^5*T2^2 + 80*T1^6*T2^2 - 59*T1^7*T2^2 + 35*T1^8*T2^2 - 
      12*T1^9*T2^2 + 7*T1^10*T2^2 - 12*T2^3 + 15*T1*T2^3 - 59*T1^2*T2^3 + 
      78*T1^3*T2^3 - 88*T1^4*T2^3 + 27*T1^5*T2^3 + 27*T1^6*T2^3 - 
      88*T1^7*T2^3 + 78*T1^8*T2^3 - 59*T1^9*T2^3 + 15*T1^10*T2^3 - 
      12*T1^11*T2^3 + 15*T2^4 - 9*T1*T2^4 + 80*T1^2*T2^4 - 88*T1^3*T2^4 + 
      141*T1^4*T2^4 - 88*T1^5*T2^4 + 93*T1^6*T2^4 - 88*T1^7*T2^4 + 
      141*T1^8*T2^4 - 88*T1^9*T2^4 + 80*T1^10*T2^4 - 9*T1^11*T2^4 + 
      15*T1^12*T2^4 - 12*T2^5 - 9*T1*T2^5 - 77*T1^2*T2^5 + 27*T1^3*T2^5 - 
      88*T1^4*T2^5 - 22*T1^5*T2^5 - 17*T1^6*T2^5 - 17*T1^7*T2^5 - 
      22*T1^8*T2^5 - 88*T1^9*T2^5 + 27*T1^10*T2^5 - 77*T1^11*T2^5 - 
      9*T1^12*T2^5 - 12*T1^13*T2^5 + 7*T2^6 + 15*T1*T2^6 + 80*T1^2*T2^6 + 
      27*T1^3*T2^6 + 93*T1^4*T2^6 - 17*T1^5*T2^6 + 168*T1^6*T2^6 - 
      90*T1^7*T2^6 + 168*T1^8*T2^6 - 17*T1^9*T2^6 + 93*T1^10*T2^6 + 
      27*T1^11*T2^6 + 80*T1^12*T2^6 + 15*T1^13*T2^6 + 7*T1^14*T2^6 - 3*T2^7 - 
      12*T1*T2^7 - 59*T1^2*T2^7 - 88*T1^3*T2^7 - 88*T1^4*T2^7 - 
      17*T1^5*T2^7 - 90*T1^6*T2^7 - 88*T1^7*T2^7 - 88*T1^8*T2^7 - 
      90*T1^9*T2^7 - 17*T1^10*T2^7 - 88*T1^11*T2^7 - 88*T1^12*T2^7 - 
      59*T1^13*T2^7 - 12*T1^14*T2^7 - 3*T1^15*T2^7 + T2^8 + 6*T1*T2^8 + 
      35*T1^2*T2^8 + 78*T1^3*T2^8 + 141*T1^4*T2^8 - 22*T1^5*T2^8 + 
      168*T1^6*T2^8 - 88*T1^7*T2^8 + 348*T1^8*T2^8 - 88*T1^9*T2^8 + 
      168*T1^10*T2^8 - 22*T1^11*T2^8 + 141*T1^12*T2^8 + 78*T1^13*T2^8 + 
      35*T1^14*T2^8 + 6*T1^15*T2^8 + T1^16*T2^8 - 3*T1*T2^9 - 12*T1^2*T2^9 - 
      59*T1^3*T2^9 - 88*T1^4*T2^9 - 88*T1^5*T2^9 - 17*T1^6*T2^9 - 
      90*T1^7*T2^9 - 88*T1^8*T2^9 - 88*T1^9*T2^9 - 90*T1^10*T2^9 - 
      17*T1^11*T2^9 - 88*T1^12*T2^9 - 88*T1^13*T2^9 - 59*T1^14*T2^9 - 
      12*T1^15*T2^9 - 3*T1^16*T2^9 + 7*T1^2*T2^10 + 15*T1^3*T2^10 + 
      80*T1^4*T2^10 + 27*T1^5*T2^10 + 93*T1^6*T2^10 - 17*T1^7*T2^10 + 
      168*T1^8*T2^10 - 90*T1^9*T2^10 + 168*T1^10*T2^10 - 17*T1^11*T2^10 + 
      93*T1^12*T2^10 + 27*T1^13*T2^10 + 80*T1^14*T2^10 + 15*T1^15*T2^10 + 
      7*T1^16*T2^10 - 12*T1^3*T2^11 - 9*T1^4*T2^11 - 77*T1^5*T2^11 + 
      27*T1^6*T2^11 - 88*T1^7*T2^11 - 22*T1^8*T2^11 - 17*T1^9*T2^11 - 
      17*T1^10*T2^11 - 22*T1^11*T2^11 - 88*T1^12*T2^11 + 27*T1^13*T2^11 - 
      77*T1^14*T2^11 - 9*T1^15*T2^11 - 12*T1^16*T2^11 + 15*T1^4*T2^12 - 
      9*T1^5*T2^12 + 80*T1^6*T2^12 - 88*T1^7*T2^12 + 141*T1^8*T2^12 - 
      88*T1^9*T2^12 + 93*T1^10*T2^12 - 88*T1^11*T2^12 + 141*T1^12*T2^12 - 
      88*T1^13*T2^12 + 80*T1^14*T2^12 - 9*T1^15*T2^12 + 15*T1^16*T2^12 - 
      12*T1^5*T2^13 + 15*T1^6*T2^13 - 59*T1^7*T2^13 + 78*T1^8*T2^13 - 
      88*T1^9*T2^13 + 27*T1^10*T2^13 + 27*T1^11*T2^13 - 88*T1^12*T2^13 + 
      78*T1^13*T2^13 - 59*T1^14*T2^13 + 15*T1^15*T2^13 - 12*T1^16*T2^13 + 
      7*T1^6*T2^14 - 12*T1^7*T2^14 + 35*T1^8*T2^14 - 59*T1^9*T2^14 + 
      80*T1^10*T2^14 - 77*T1^11*T2^14 + 80*T1^12*T2^14 - 59*T1^13*T2^14 + 
      35*T1^14*T2^14 - 12*T1^15*T2^14 + 7*T1^16*T2^14 - 3*T1^7*T2^15 + 
      6*T1^8*T2^15 - 12*T1^9*T2^15 + 15*T1^10*T2^15 - 9*T1^11*T2^15 - 
      9*T1^12*T2^15 + 15*T1^13*T2^15 - 12*T1^14*T2^15 + 6*T1^15*T2^15 - 
      3*T1^16*T2^15 + T1^8*T2^16 - 3*T1^9*T2^16 + 7*T1^10*T2^16 - 
      12*T1^11*T2^16 + 15*T1^12*T2^16 - 12*T1^13*T2^16 + 7*T1^14*T2^16 - 
      3*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, -((1 - 3*T1 + 6*T1^2 - 9*T1^3 + 11*T1^4 - 9*T1^5 + 6*T1^6 - 3*T1^7 + 
      T1^8 - 3*T2 + 6*T1*T2 - 9*T1^2*T2 + 9*T1^3*T2 - 6*T1^4*T2 - 6*T1^5*T2 + 
      9*T1^6*T2 - 9*T1^7*T2 + 6*T1^8*T2 - 3*T1^9*T2 + 6*T2^2 - 9*T1*T2^2 + 
      19*T1^2*T2^2 - 27*T1^3*T2^2 + 35*T1^4*T2^2 - 25*T1^5*T2^2 + 
      35*T1^6*T2^2 - 27*T1^7*T2^2 + 19*T1^8*T2^2 - 9*T1^9*T2^2 + 
      6*T1^10*T2^2 - 9*T2^3 + 9*T1*T2^3 - 27*T1^2*T2^3 + 30*T1^3*T2^3 - 
      30*T1^4*T2^3 - 4*T1^5*T2^3 - 4*T1^6*T2^3 - 30*T1^7*T2^3 + 
      30*T1^8*T2^3 - 27*T1^9*T2^3 + 9*T1^10*T2^3 - 9*T1^11*T2^3 + 11*T2^4 - 
      6*T1*T2^4 + 35*T1^2*T2^4 - 30*T1^3*T2^4 + 39*T1^4*T2^4 - 9*T1^5*T2^4 + 
      51*T1^6*T2^4 - 9*T1^7*T2^4 + 39*T1^8*T2^4 - 30*T1^9*T2^4 + 
      35*T1^10*T2^4 - 6*T1^11*T2^4 + 11*T1^12*T2^4 - 9*T2^5 - 6*T1*T2^5 - 
      25*T1^2*T2^5 - 4*T1^3*T2^5 - 9*T1^4*T2^5 - 26*T1^5*T2^5 - 
      35*T1^6*T2^5 - 35*T1^7*T2^5 - 26*T1^8*T2^5 - 9*T1^9*T2^5 - 
      4*T1^10*T2^5 - 25*T1^11*T2^5 - 6*T1^12*T2^5 - 9*T1^13*T2^5 + 6*T2^6 + 
      9*T1*T2^6 + 35*T1^2*T2^6 - 4*T1^3*T2^6 + 51*T1^4*T2^6 - 35*T1^5*T2^6 + 
      113*T1^6*T2^6 - 17*T1^7*T2^6 + 113*T1^8*T2^6 - 35*T1^9*T2^6 + 
      51*T1^10*T2^6 - 4*T1^11*T2^6 + 35*T1^12*T2^6 + 9*T1^13*T2^6 + 
      6*T1^14*T2^6 - 3*T2^7 - 9*T1*T2^7 - 27*T1^2*T2^7 - 30*T1^3*T2^7 - 
      9*T1^4*T2^7 - 35*T1^5*T2^7 - 17*T1^6*T2^7 - 78*T1^7*T2^7 - 
      78*T1^8*T2^7 - 17*T1^9*T2^7 - 35*T1^10*T2^7 - 9*T1^11*T2^7 - 
      30*T1^12*T2^7 - 27*T1^13*T2^7 - 9*T1^14*T2^7 - 3*T1^15*T2^7 + T2^8 + 
      6*T1*T2^8 + 19*T1^2*T2^8 + 30*T1^3*T2^8 + 39*T1^4*T2^8 - 26*T1^5*T2^8 + 
      113*T1^6*T2^8 - 78*T1^7*T2^8 + 240*T1^8*T2^8 - 78*T1^9*T2^8 + 
      113*T1^10*T2^8 - 26*T1^11*T2^8 + 39*T1^12*T2^8 + 30*T1^13*T2^8 + 
      19*T1^14*T2^8 + 6*T1^15*T2^8 + T1^16*T2^8 - 3*T1*T2^9 - 9*T1^2*T2^9 - 
      27*T1^3*T2^9 - 30*T1^4*T2^9 - 9*T1^5*T2^9 - 35*T1^6*T2^9 - 
      17*T1^7*T2^9 - 78*T1^8*T2^9 - 78*T1^9*T2^9 - 17*T1^10*T2^9 - 
      35*T1^11*T2^9 - 9*T1^12*T2^9 - 30*T1^13*T2^9 - 27*T1^14*T2^9 - 
      9*T1^15*T2^9 - 3*T1^16*T2^9 + 6*T1^2*T2^10 + 9*T1^3*T2^10 + 
      35*T1^4*T2^10 - 4*T1^5*T2^10 + 51*T1^6*T2^10 - 35*T1^7*T2^10 + 
      113*T1^8*T2^10 - 17*T1^9*T2^10 + 113*T1^10*T2^10 - 35*T1^11*T2^10 + 
      51*T1^12*T2^10 - 4*T1^13*T2^10 + 35*T1^14*T2^10 + 9*T1^15*T2^10 + 
      6*T1^16*T2^10 - 9*T1^3*T2^11 - 6*T1^4*T2^11 - 25*T1^5*T2^11 - 
      4*T1^6*T2^11 - 9*T1^7*T2^11 - 26*T1^8*T2^11 - 35*T1^9*T2^11 - 
      35*T1^10*T2^11 - 26*T1^11*T2^11 - 9*T1^12*T2^11 - 4*T1^13*T2^11 - 
      25*T1^14*T2^11 - 6*T1^15*T2^11 - 9*T1^16*T2^11 + 11*T1^4*T2^12 - 
      6*T1^5*T2^12 + 35*T1^6*T2^12 - 30*T1^7*T2^12 + 39*T1^8*T2^12 - 
      9*T1^9*T2^12 + 51*T1^10*T2^12 - 9*T1^11*T2^12 + 39*T1^12*T2^12 - 
      30*T1^13*T2^12 + 35*T1^14*T2^12 - 6*T1^15*T2^12 + 11*T1^16*T2^12 - 
      9*T1^5*T2^13 + 9*T1^6*T2^13 - 27*T1^7*T2^13 + 30*T1^8*T2^13 - 
      30*T1^9*T2^13 - 4*T1^10*T2^13 - 4*T1^11*T2^13 - 30*T1^12*T2^13 + 
      30*T1^13*T2^13 - 27*T1^14*T2^13 + 9*T1^15*T2^13 - 9*T1^16*T2^13 + 
      6*T1^6*T2^14 - 9*T1^7*T2^14 + 19*T1^8*T2^14 - 27*T1^9*T2^14 + 
      35*T1^10*T2^14 - 25*T1^11*T2^14 + 35*T1^12*T2^14 - 27*T1^13*T2^14 + 
      19*T1^14*T2^14 - 9*T1^15*T2^14 + 6*T1^16*T2^14 - 3*T1^7*T2^15 + 
      6*T1^8*T2^15 - 9*T1^9*T2^15 + 9*T1^10*T2^15 - 6*T1^11*T2^15 - 
      6*T1^12*T2^15 + 9*T1^13*T2^15 - 9*T1^14*T2^15 + 6*T1^15*T2^15 - 
      3*T1^16*T2^15 + T1^8*T2^16 - 3*T1^9*T2^16 + 6*T1^10*T2^16 - 
      9*T1^11*T2^16 + 11*T1^12*T2^16 - 9*T1^13*T2^16 + 6*T1^14*T2^16 - 
      3*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 827] -> 
  {(4 - 13*T + 21*T^2 - 23*T^3 + 21*T^4 - 13*T^5 + 4*T^6)/T^3, 
   (48 - 156*T1 + 244*T1^2 - 264*T1^3 + 244*T1^4 - 156*T1^5 + 48*T1^6 - 
     156*T2 + 350*T1*T2 - 284*T1^2*T2 + 64*T1^3*T2 + 64*T1^4*T2 - 
     284*T1^5*T2 + 350*T1^6*T2 - 156*T1^7*T2 + 244*T2^2 - 284*T1*T2^2 - 
     261*T1^2*T2^2 + 721*T1^3*T2^2 - 703*T1^4*T2^2 + 721*T1^5*T2^2 - 
     261*T1^6*T2^2 - 284*T1^7*T2^2 + 244*T1^8*T2^2 - 264*T2^3 + 64*T1*T2^3 + 
     721*T1^2*T2^3 - 814*T1^3*T2^3 + 202*T1^4*T2^3 + 202*T1^5*T2^3 - 
     814*T1^6*T2^3 + 721*T1^7*T2^3 + 64*T1^8*T2^3 - 264*T1^9*T2^3 + 
     244*T2^4 + 64*T1*T2^4 - 703*T1^2*T2^4 + 202*T1^3*T2^4 + 698*T1^4*T2^4 - 
     922*T1^5*T2^4 + 698*T1^6*T2^4 + 202*T1^7*T2^4 - 703*T1^8*T2^4 + 
     64*T1^9*T2^4 + 244*T1^10*T2^4 - 156*T2^5 - 284*T1*T2^5 + 721*T1^2*T2^5 + 
     202*T1^3*T2^5 - 922*T1^4*T2^5 + 490*T1^5*T2^5 + 490*T1^6*T2^5 - 
     922*T1^7*T2^5 + 202*T1^8*T2^5 + 721*T1^9*T2^5 - 284*T1^10*T2^5 - 
     156*T1^11*T2^5 + 48*T2^6 + 350*T1*T2^6 - 261*T1^2*T2^6 - 814*T1^3*T2^6 + 
     698*T1^4*T2^6 + 490*T1^5*T2^6 - 1224*T1^6*T2^6 + 490*T1^7*T2^6 + 
     698*T1^8*T2^6 - 814*T1^9*T2^6 - 261*T1^10*T2^6 + 350*T1^11*T2^6 + 
     48*T1^12*T2^6 - 156*T1*T2^7 - 284*T1^2*T2^7 + 721*T1^3*T2^7 + 
     202*T1^4*T2^7 - 922*T1^5*T2^7 + 490*T1^6*T2^7 + 490*T1^7*T2^7 - 
     922*T1^8*T2^7 + 202*T1^9*T2^7 + 721*T1^10*T2^7 - 284*T1^11*T2^7 - 
     156*T1^12*T2^7 + 244*T1^2*T2^8 + 64*T1^3*T2^8 - 703*T1^4*T2^8 + 
     202*T1^5*T2^8 + 698*T1^6*T2^8 - 922*T1^7*T2^8 + 698*T1^8*T2^8 + 
     202*T1^9*T2^8 - 703*T1^10*T2^8 + 64*T1^11*T2^8 + 244*T1^12*T2^8 - 
     264*T1^3*T2^9 + 64*T1^4*T2^9 + 721*T1^5*T2^9 - 814*T1^6*T2^9 + 
     202*T1^7*T2^9 + 202*T1^8*T2^9 - 814*T1^9*T2^9 + 721*T1^10*T2^9 + 
     64*T1^11*T2^9 - 264*T1^12*T2^9 + 244*T1^4*T2^10 - 284*T1^5*T2^10 - 
     261*T1^6*T2^10 + 721*T1^7*T2^10 - 703*T1^8*T2^10 + 721*T1^9*T2^10 - 
     261*T1^10*T2^10 - 284*T1^11*T2^10 + 244*T1^12*T2^10 - 156*T1^5*T2^11 + 
     350*T1^6*T2^11 - 284*T1^7*T2^11 + 64*T1^8*T2^11 + 64*T1^9*T2^11 - 
     284*T1^10*T2^11 + 350*T1^11*T2^11 - 156*T1^12*T2^11 + 48*T1^6*T2^12 - 
     156*T1^7*T2^12 + 244*T1^8*T2^12 - 264*T1^9*T2^12 + 244*T1^10*T2^12 - 
     156*T1^11*T2^12 + 48*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 828] -> 
  {(7 - 24*T + 42*T^2 - 49*T^3 + 42*T^4 - 24*T^5 + 7*T^6)/T^3, 
   (1120 - 3758*T1 + 6484*T1^2 - 7514*T1^3 + 6484*T1^4 - 3758*T1^5 + 
     1120*T1^6 - 3758*T2 + 8932*T1*T2 - 9316*T1^2*T2 + 3556*T1^3*T2 + 
     3556*T1^4*T2 - 9316*T1^5*T2 + 8932*T1^6*T2 - 3758*T1^7*T2 + 6484*T2^2 - 
     9316*T1*T2^2 + 1364*T1^2*T2^2 + 9467*T1^3*T2^2 - 12120*T1^4*T2^2 + 
     9467*T1^5*T2^2 + 1364*T1^6*T2^2 - 9316*T1^7*T2^2 + 6484*T1^8*T2^2 - 
     7514*T2^3 + 3556*T1*T2^3 + 9467*T1^2*T2^3 - 13642*T1^3*T2^3 + 
     3832*T1^4*T2^3 + 3832*T1^5*T2^3 - 13642*T1^6*T2^3 + 9467*T1^7*T2^3 + 
     3556*T1^8*T2^3 - 7514*T1^9*T2^3 + 6484*T2^4 + 3556*T1*T2^4 - 
     12120*T1^2*T2^4 + 3832*T1^3*T2^4 + 10469*T1^4*T2^4 - 10061*T1^5*T2^4 + 
     10469*T1^6*T2^4 + 3832*T1^7*T2^4 - 12120*T1^8*T2^4 + 3556*T1^9*T2^4 + 
     6484*T1^10*T2^4 - 3758*T2^5 - 9316*T1*T2^5 + 9467*T1^2*T2^5 + 
     3832*T1^3*T2^5 - 10061*T1^4*T2^5 + 228*T1^5*T2^5 + 228*T1^6*T2^5 - 
     10061*T1^7*T2^5 + 3832*T1^8*T2^5 + 9467*T1^9*T2^5 - 9316*T1^10*T2^5 - 
     3758*T1^11*T2^5 + 1120*T2^6 + 8932*T1*T2^6 + 1364*T1^2*T2^6 - 
     13642*T1^3*T2^6 + 10469*T1^4*T2^6 + 228*T1^5*T2^6 + 4164*T1^6*T2^6 + 
     228*T1^7*T2^6 + 10469*T1^8*T2^6 - 13642*T1^9*T2^6 + 1364*T1^10*T2^6 + 
     8932*T1^11*T2^6 + 1120*T1^12*T2^6 - 3758*T1*T2^7 - 9316*T1^2*T2^7 + 
     9467*T1^3*T2^7 + 3832*T1^4*T2^7 - 10061*T1^5*T2^7 + 228*T1^6*T2^7 + 
     228*T1^7*T2^7 - 10061*T1^8*T2^7 + 3832*T1^9*T2^7 + 9467*T1^10*T2^7 - 
     9316*T1^11*T2^7 - 3758*T1^12*T2^7 + 6484*T1^2*T2^8 + 3556*T1^3*T2^8 - 
     12120*T1^4*T2^8 + 3832*T1^5*T2^8 + 10469*T1^6*T2^8 - 10061*T1^7*T2^8 + 
     10469*T1^8*T2^8 + 3832*T1^9*T2^8 - 12120*T1^10*T2^8 + 3556*T1^11*T2^8 + 
     6484*T1^12*T2^8 - 7514*T1^3*T2^9 + 3556*T1^4*T2^9 + 9467*T1^5*T2^9 - 
     13642*T1^6*T2^9 + 3832*T1^7*T2^9 + 3832*T1^8*T2^9 - 13642*T1^9*T2^9 + 
     9467*T1^10*T2^9 + 3556*T1^11*T2^9 - 7514*T1^12*T2^9 + 6484*T1^4*T2^10 - 
     9316*T1^5*T2^10 + 1364*T1^6*T2^10 + 9467*T1^7*T2^10 - 12120*T1^8*T2^10 + 
     9467*T1^9*T2^10 + 1364*T1^10*T2^10 - 9316*T1^11*T2^10 + 
     6484*T1^12*T2^10 - 3758*T1^5*T2^11 + 8932*T1^6*T2^11 - 9316*T1^7*T2^11 + 
     3556*T1^8*T2^11 + 3556*T1^9*T2^11 - 9316*T1^10*T2^11 + 
     8932*T1^11*T2^11 - 3758*T1^12*T2^11 + 1120*T1^6*T2^12 - 
     3758*T1^7*T2^12 + 6484*T1^8*T2^12 - 7514*T1^9*T2^12 + 6484*T1^10*T2^12 - 
     3758*T1^11*T2^12 + 1120*T1^12*T2^12)/(T1^6*T2^6)}, 
 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), -((25 - 135*T1 + 299*T1^2 - 432*T1^3 + 473*T1^4 - 432*T1^5 + 
      299*T1^6 - 135*T1^7 + 25*T1^8 - 135*T2 + 598*T1*T2 - 905*T1^2*T2 + 
      749*T1^3*T2 - 238*T1^4*T2 - 238*T1^5*T2 + 749*T1^6*T2 - 905*T1^7*T2 + 
      598*T1^8*T2 - 135*T1^9*T2 + 299*T2^2 - 905*T1*T2^2 + 20*T1^2*T2^2 + 
      1881*T1^3*T2^2 - 3450*T1^4*T2^2 + 3652*T1^5*T2^2 - 3450*T1^6*T2^2 + 
      1881*T1^7*T2^2 + 20*T1^8*T2^2 - 905*T1^9*T2^2 + 299*T1^10*T2^2 - 
      432*T2^3 + 749*T1*T2^3 + 1881*T1^2*T2^3 - 3830*T1^3*T2^3 + 
      3311*T1^4*T2^3 - 701*T1^5*T2^3 - 701*T1^6*T2^3 + 3311*T1^7*T2^3 - 
      3830*T1^8*T2^3 + 1881*T1^9*T2^3 + 749*T1^10*T2^3 - 432*T1^11*T2^3 + 
      473*T2^4 - 238*T1*T2^4 - 3450*T1^2*T2^4 + 3311*T1^3*T2^4 - 
      806*T1^4*T2^4 - 1583*T1^5*T2^4 + 368*T1^6*T2^4 - 1583*T1^7*T2^4 - 
      806*T1^8*T2^4 + 3311*T1^9*T2^4 - 3450*T1^10*T2^4 - 238*T1^11*T2^4 + 
      473*T1^12*T2^4 - 432*T2^5 - 238*T1*T2^5 + 3652*T1^2*T2^5 - 
      701*T1^3*T2^5 - 1583*T1^4*T2^5 + 1810*T1^5*T2^5 + 1088*T1^6*T2^5 + 
      1088*T1^7*T2^5 + 1810*T1^8*T2^5 - 1583*T1^9*T2^5 - 701*T1^10*T2^5 + 
      3652*T1^11*T2^5 - 238*T1^12*T2^5 - 432*T1^13*T2^5 + 299*T2^6 + 
      749*T1*T2^6 - 3450*T1^2*T2^6 - 701*T1^3*T2^6 + 368*T1^4*T2^6 + 
      1088*T1^5*T2^6 - 3277*T1^6*T2^6 - 373*T1^7*T2^6 - 3277*T1^8*T2^6 + 
      1088*T1^9*T2^6 + 368*T1^10*T2^6 - 701*T1^11*T2^6 - 3450*T1^12*T2^6 + 
      749*T1^13*T2^6 + 299*T1^14*T2^6 - 135*T2^7 - 905*T1*T2^7 + 
      1881*T1^2*T2^7 + 3311*T1^3*T2^7 - 1583*T1^4*T2^7 + 1088*T1^5*T2^7 - 
      373*T1^6*T2^7 + 2960*T1^7*T2^7 + 2960*T1^8*T2^7 - 373*T1^9*T2^7 + 
      1088*T1^10*T2^7 - 1583*T1^11*T2^7 + 3311*T1^12*T2^7 + 1881*T1^13*T2^7 - 
      905*T1^14*T2^7 - 135*T1^15*T2^7 + 25*T2^8 + 598*T1*T2^8 + 
      20*T1^2*T2^8 - 3830*T1^3*T2^8 - 806*T1^4*T2^8 + 1810*T1^5*T2^8 - 
      3277*T1^6*T2^8 + 2960*T1^7*T2^8 - 8328*T1^8*T2^8 + 2960*T1^9*T2^8 - 
      3277*T1^10*T2^8 + 1810*T1^11*T2^8 - 806*T1^12*T2^8 - 3830*T1^13*T2^8 + 
      20*T1^14*T2^8 + 598*T1^15*T2^8 + 25*T1^16*T2^8 - 135*T1*T2^9 - 
      905*T1^2*T2^9 + 1881*T1^3*T2^9 + 3311*T1^4*T2^9 - 1583*T1^5*T2^9 + 
      1088*T1^6*T2^9 - 373*T1^7*T2^9 + 2960*T1^8*T2^9 + 2960*T1^9*T2^9 - 
      373*T1^10*T2^9 + 1088*T1^11*T2^9 - 1583*T1^12*T2^9 + 3311*T1^13*T2^9 + 
      1881*T1^14*T2^9 - 905*T1^15*T2^9 - 135*T1^16*T2^9 + 299*T1^2*T2^10 + 
      749*T1^3*T2^10 - 3450*T1^4*T2^10 - 701*T1^5*T2^10 + 368*T1^6*T2^10 + 
      1088*T1^7*T2^10 - 3277*T1^8*T2^10 - 373*T1^9*T2^10 - 3277*T1^10*T2^10 + 
      1088*T1^11*T2^10 + 368*T1^12*T2^10 - 701*T1^13*T2^10 - 
      3450*T1^14*T2^10 + 749*T1^15*T2^10 + 299*T1^16*T2^10 - 432*T1^3*T2^11 - 
      238*T1^4*T2^11 + 3652*T1^5*T2^11 - 701*T1^6*T2^11 - 1583*T1^7*T2^11 + 
      1810*T1^8*T2^11 + 1088*T1^9*T2^11 + 1088*T1^10*T2^11 + 
      1810*T1^11*T2^11 - 1583*T1^12*T2^11 - 701*T1^13*T2^11 + 
      3652*T1^14*T2^11 - 238*T1^15*T2^11 - 432*T1^16*T2^11 + 473*T1^4*T2^12 - 
      238*T1^5*T2^12 - 3450*T1^6*T2^12 + 3311*T1^7*T2^12 - 806*T1^8*T2^12 - 
      1583*T1^9*T2^12 + 368*T1^10*T2^12 - 1583*T1^11*T2^12 - 
      806*T1^12*T2^12 + 3311*T1^13*T2^12 - 3450*T1^14*T2^12 - 
      238*T1^15*T2^12 + 473*T1^16*T2^12 - 432*T1^5*T2^13 + 749*T1^6*T2^13 + 
      1881*T1^7*T2^13 - 3830*T1^8*T2^13 + 3311*T1^9*T2^13 - 701*T1^10*T2^13 - 
      701*T1^11*T2^13 + 3311*T1^12*T2^13 - 3830*T1^13*T2^13 + 
      1881*T1^14*T2^13 + 749*T1^15*T2^13 - 432*T1^16*T2^13 + 299*T1^6*T2^14 - 
      905*T1^7*T2^14 + 20*T1^8*T2^14 + 1881*T1^9*T2^14 - 3450*T1^10*T2^14 + 
      3652*T1^11*T2^14 - 3450*T1^12*T2^14 + 1881*T1^13*T2^14 + 
      20*T1^14*T2^14 - 905*T1^15*T2^14 + 299*T1^16*T2^14 - 135*T1^7*T2^15 + 
      598*T1^8*T2^15 - 905*T1^9*T2^15 + 749*T1^10*T2^15 - 238*T1^11*T2^15 - 
      238*T1^12*T2^15 + 749*T1^13*T2^15 - 905*T1^14*T2^15 + 598*T1^15*T2^15 - 
      135*T1^16*T2^15 + 25*T1^8*T2^16 - 135*T1^9*T2^16 + 299*T1^10*T2^16 - 
      432*T1^11*T2^16 + 473*T1^12*T2^16 - 432*T1^13*T2^16 + 299*T1^14*T2^16 - 
      135*T1^15*T2^16 + 25*T1^16*T2^16)/(T1^8*T2^8))}, 
 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, -((1 - 3*T1 + 7*T1^2 - 12*T1^3 + 15*T1^4 - 12*T1^5 + 7*T1^6 - 
      3*T1^7 + T1^8 - 3*T2 + 4*T1*T2 - 5*T1^2*T2 + 5*T1^3*T2 - 4*T1^4*T2 - 
      4*T1^5*T2 + 5*T1^6*T2 - 5*T1^7*T2 + 4*T1^8*T2 - 3*T1^9*T2 + 7*T2^2 - 
      5*T1*T2^2 + 18*T1^2*T2^2 - 59*T1^3*T2^2 + 134*T1^4*T2^2 - 
      164*T1^5*T2^2 + 134*T1^6*T2^2 - 59*T1^7*T2^2 + 18*T1^8*T2^2 - 
      5*T1^9*T2^2 + 7*T1^10*T2^2 - 12*T2^3 + 5*T1*T2^3 - 59*T1^2*T2^3 + 
      160*T1^3*T2^3 - 274*T1^4*T2^3 + 132*T1^5*T2^3 + 132*T1^6*T2^3 - 
      274*T1^7*T2^3 + 160*T1^8*T2^3 - 59*T1^9*T2^3 + 5*T1^10*T2^3 - 
      12*T1^11*T2^3 + 15*T2^4 - 4*T1*T2^4 + 134*T1^2*T2^4 - 274*T1^3*T2^4 + 
      364*T1^4*T2^4 + 54*T1^5*T2^4 - 282*T1^6*T2^4 + 54*T1^7*T2^4 + 
      364*T1^8*T2^4 - 274*T1^9*T2^4 + 134*T1^10*T2^4 - 4*T1^11*T2^4 + 
      15*T1^12*T2^4 - 12*T2^5 - 4*T1*T2^5 - 164*T1^2*T2^5 + 132*T1^3*T2^5 + 
      54*T1^4*T2^5 - 776*T1^5*T2^5 + 407*T1^6*T2^5 + 407*T1^7*T2^5 - 
      776*T1^8*T2^5 + 54*T1^9*T2^5 + 132*T1^10*T2^5 - 164*T1^11*T2^5 - 
      4*T1^12*T2^5 - 12*T1^13*T2^5 + 7*T2^6 + 5*T1*T2^6 + 134*T1^2*T2^6 + 
      132*T1^3*T2^6 - 282*T1^4*T2^6 + 407*T1^5*T2^6 + 1333*T1^6*T2^6 - 
      2087*T1^7*T2^6 + 1333*T1^8*T2^6 + 407*T1^9*T2^6 - 282*T1^10*T2^6 + 
      132*T1^11*T2^6 + 134*T1^12*T2^6 + 5*T1^13*T2^6 + 7*T1^14*T2^6 - 
      3*T2^7 - 5*T1*T2^7 - 59*T1^2*T2^7 - 274*T1^3*T2^7 + 54*T1^4*T2^7 + 
      407*T1^5*T2^7 - 2087*T1^6*T2^7 + 946*T1^7*T2^7 + 946*T1^8*T2^7 - 
      2087*T1^9*T2^7 + 407*T1^10*T2^7 + 54*T1^11*T2^7 - 274*T1^12*T2^7 - 
      59*T1^13*T2^7 - 5*T1^14*T2^7 - 3*T1^15*T2^7 + T2^8 + 4*T1*T2^8 + 
      18*T1^2*T2^8 + 160*T1^3*T2^8 + 364*T1^4*T2^8 - 776*T1^5*T2^8 + 
      1333*T1^6*T2^8 + 946*T1^7*T2^8 - 1776*T1^8*T2^8 + 946*T1^9*T2^8 + 
      1333*T1^10*T2^8 - 776*T1^11*T2^8 + 364*T1^12*T2^8 + 160*T1^13*T2^8 + 
      18*T1^14*T2^8 + 4*T1^15*T2^8 + T1^16*T2^8 - 3*T1*T2^9 - 5*T1^2*T2^9 - 
      59*T1^3*T2^9 - 274*T1^4*T2^9 + 54*T1^5*T2^9 + 407*T1^6*T2^9 - 
      2087*T1^7*T2^9 + 946*T1^8*T2^9 + 946*T1^9*T2^9 - 2087*T1^10*T2^9 + 
      407*T1^11*T2^9 + 54*T1^12*T2^9 - 274*T1^13*T2^9 - 59*T1^14*T2^9 - 
      5*T1^15*T2^9 - 3*T1^16*T2^9 + 7*T1^2*T2^10 + 5*T1^3*T2^10 + 
      134*T1^4*T2^10 + 132*T1^5*T2^10 - 282*T1^6*T2^10 + 407*T1^7*T2^10 + 
      1333*T1^8*T2^10 - 2087*T1^9*T2^10 + 1333*T1^10*T2^10 + 
      407*T1^11*T2^10 - 282*T1^12*T2^10 + 132*T1^13*T2^10 + 134*T1^14*T2^10 + 
      5*T1^15*T2^10 + 7*T1^16*T2^10 - 12*T1^3*T2^11 - 4*T1^4*T2^11 - 
      164*T1^5*T2^11 + 132*T1^6*T2^11 + 54*T1^7*T2^11 - 776*T1^8*T2^11 + 
      407*T1^9*T2^11 + 407*T1^10*T2^11 - 776*T1^11*T2^11 + 54*T1^12*T2^11 + 
      132*T1^13*T2^11 - 164*T1^14*T2^11 - 4*T1^15*T2^11 - 12*T1^16*T2^11 + 
      15*T1^4*T2^12 - 4*T1^5*T2^12 + 134*T1^6*T2^12 - 274*T1^7*T2^12 + 
      364*T1^8*T2^12 + 54*T1^9*T2^12 - 282*T1^10*T2^12 + 54*T1^11*T2^12 + 
      364*T1^12*T2^12 - 274*T1^13*T2^12 + 134*T1^14*T2^12 - 4*T1^15*T2^12 + 
      15*T1^16*T2^12 - 12*T1^5*T2^13 + 5*T1^6*T2^13 - 59*T1^7*T2^13 + 
      160*T1^8*T2^13 - 274*T1^9*T2^13 + 132*T1^10*T2^13 + 132*T1^11*T2^13 - 
      274*T1^12*T2^13 + 160*T1^13*T2^13 - 59*T1^14*T2^13 + 5*T1^15*T2^13 - 
      12*T1^16*T2^13 + 7*T1^6*T2^14 - 5*T1^7*T2^14 + 18*T1^8*T2^14 - 
      59*T1^9*T2^14 + 134*T1^10*T2^14 - 164*T1^11*T2^14 + 134*T1^12*T2^14 - 
      59*T1^13*T2^14 + 18*T1^14*T2^14 - 5*T1^15*T2^14 + 7*T1^16*T2^14 - 
      3*T1^7*T2^15 + 4*T1^8*T2^15 - 5*T1^9*T2^15 + 5*T1^10*T2^15 - 
      4*T1^11*T2^15 - 4*T1^12*T2^15 + 5*T1^13*T2^15 - 5*T1^14*T2^15 + 
      4*T1^15*T2^15 - 3*T1^16*T2^15 + T1^8*T2^16 - 3*T1^9*T2^16 + 
      7*T1^10*T2^16 - 12*T1^11*T2^16 + 15*T1^12*T2^16 - 12*T1^13*T2^16 + 
      7*T1^14*T2^16 - 3*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, -((1 - 3*T1 + 7*T1^2 - 12*T1^3 + 15*T1^4 - 12*T1^5 + 7*T1^6 - 
      3*T1^7 + T1^8 - 3*T2 + 4*T1*T2 - 5*T1^2*T2 + 5*T1^3*T2 - 4*T1^4*T2 - 
      4*T1^5*T2 + 5*T1^6*T2 - 5*T1^7*T2 + 4*T1^8*T2 - 3*T1^9*T2 + 7*T2^2 - 
      5*T1*T2^2 + 18*T1^2*T2^2 - 59*T1^3*T2^2 + 131*T1^4*T2^2 - 
      158*T1^5*T2^2 + 131*T1^6*T2^2 - 59*T1^7*T2^2 + 18*T1^8*T2^2 - 
      5*T1^9*T2^2 + 7*T1^10*T2^2 - 12*T2^3 + 5*T1*T2^3 - 59*T1^2*T2^3 + 
      166*T1^3*T2^3 - 280*T1^4*T2^3 + 132*T1^5*T2^3 + 132*T1^6*T2^3 - 
      280*T1^7*T2^3 + 166*T1^8*T2^3 - 59*T1^9*T2^3 + 5*T1^10*T2^3 - 
      12*T1^11*T2^3 + 15*T2^4 - 4*T1*T2^4 + 131*T1^2*T2^4 - 280*T1^3*T2^4 + 
      370*T1^4*T2^4 + 54*T1^5*T2^4 - 276*T1^6*T2^4 + 54*T1^7*T2^4 + 
      370*T1^8*T2^4 - 280*T1^9*T2^4 + 131*T1^10*T2^4 - 4*T1^11*T2^4 + 
      15*T1^12*T2^4 - 12*T2^5 - 4*T1*T2^5 - 158*T1^2*T2^5 + 132*T1^3*T2^5 + 
      54*T1^4*T2^5 - 776*T1^5*T2^5 + 401*T1^6*T2^5 + 401*T1^7*T2^5 - 
      776*T1^8*T2^5 + 54*T1^9*T2^5 + 132*T1^10*T2^5 - 158*T1^11*T2^5 - 
      4*T1^12*T2^5 - 12*T1^13*T2^5 + 7*T2^6 + 5*T1*T2^6 + 131*T1^2*T2^6 + 
      132*T1^3*T2^6 - 276*T1^4*T2^6 + 401*T1^5*T2^6 + 1333*T1^6*T2^6 - 
      2081*T1^7*T2^6 + 1333*T1^8*T2^6 + 401*T1^9*T2^6 - 276*T1^10*T2^6 + 
      132*T1^11*T2^6 + 131*T1^12*T2^6 + 5*T1^13*T2^6 + 7*T1^14*T2^6 - 
      3*T2^7 - 5*T1*T2^7 - 59*T1^2*T2^7 - 280*T1^3*T2^7 + 54*T1^4*T2^7 + 
      401*T1^5*T2^7 - 2081*T1^6*T2^7 + 952*T1^7*T2^7 + 952*T1^8*T2^7 - 
      2081*T1^9*T2^7 + 401*T1^10*T2^7 + 54*T1^11*T2^7 - 280*T1^12*T2^7 - 
      59*T1^13*T2^7 - 5*T1^14*T2^7 - 3*T1^15*T2^7 + T2^8 + 4*T1*T2^8 + 
      18*T1^2*T2^8 + 166*T1^3*T2^8 + 370*T1^4*T2^8 - 776*T1^5*T2^8 + 
      1333*T1^6*T2^8 + 952*T1^7*T2^8 - 1812*T1^8*T2^8 + 952*T1^9*T2^8 + 
      1333*T1^10*T2^8 - 776*T1^11*T2^8 + 370*T1^12*T2^8 + 166*T1^13*T2^8 + 
      18*T1^14*T2^8 + 4*T1^15*T2^8 + T1^16*T2^8 - 3*T1*T2^9 - 5*T1^2*T2^9 - 
      59*T1^3*T2^9 - 280*T1^4*T2^9 + 54*T1^5*T2^9 + 401*T1^6*T2^9 - 
      2081*T1^7*T2^9 + 952*T1^8*T2^9 + 952*T1^9*T2^9 - 2081*T1^10*T2^9 + 
      401*T1^11*T2^9 + 54*T1^12*T2^9 - 280*T1^13*T2^9 - 59*T1^14*T2^9 - 
      5*T1^15*T2^9 - 3*T1^16*T2^9 + 7*T1^2*T2^10 + 5*T1^3*T2^10 + 
      131*T1^4*T2^10 + 132*T1^5*T2^10 - 276*T1^6*T2^10 + 401*T1^7*T2^10 + 
      1333*T1^8*T2^10 - 2081*T1^9*T2^10 + 1333*T1^10*T2^10 + 
      401*T1^11*T2^10 - 276*T1^12*T2^10 + 132*T1^13*T2^10 + 131*T1^14*T2^10 + 
      5*T1^15*T2^10 + 7*T1^16*T2^10 - 12*T1^3*T2^11 - 4*T1^4*T2^11 - 
      158*T1^5*T2^11 + 132*T1^6*T2^11 + 54*T1^7*T2^11 - 776*T1^8*T2^11 + 
      401*T1^9*T2^11 + 401*T1^10*T2^11 - 776*T1^11*T2^11 + 54*T1^12*T2^11 + 
      132*T1^13*T2^11 - 158*T1^14*T2^11 - 4*T1^15*T2^11 - 12*T1^16*T2^11 + 
      15*T1^4*T2^12 - 4*T1^5*T2^12 + 131*T1^6*T2^12 - 280*T1^7*T2^12 + 
      370*T1^8*T2^12 + 54*T1^9*T2^12 - 276*T1^10*T2^12 + 54*T1^11*T2^12 + 
      370*T1^12*T2^12 - 280*T1^13*T2^12 + 131*T1^14*T2^12 - 4*T1^15*T2^12 + 
      15*T1^16*T2^12 - 12*T1^5*T2^13 + 5*T1^6*T2^13 - 59*T1^7*T2^13 + 
      166*T1^8*T2^13 - 280*T1^9*T2^13 + 132*T1^10*T2^13 + 132*T1^11*T2^13 - 
      280*T1^12*T2^13 + 166*T1^13*T2^13 - 59*T1^14*T2^13 + 5*T1^15*T2^13 - 
      12*T1^16*T2^13 + 7*T1^6*T2^14 - 5*T1^7*T2^14 + 18*T1^8*T2^14 - 
      59*T1^9*T2^14 + 131*T1^10*T2^14 - 158*T1^11*T2^14 + 131*T1^12*T2^14 - 
      59*T1^13*T2^14 + 18*T1^14*T2^14 - 5*T1^15*T2^14 + 7*T1^16*T2^14 - 
      3*T1^7*T2^15 + 4*T1^8*T2^15 - 5*T1^9*T2^15 + 5*T1^10*T2^15 - 
      4*T1^11*T2^15 - 4*T1^12*T2^15 + 5*T1^13*T2^15 - 5*T1^14*T2^15 + 
      4*T1^15*T2^15 - 3*T1^16*T2^15 + T1^8*T2^16 - 3*T1^9*T2^16 + 
      7*T1^10*T2^16 - 12*T1^11*T2^16 + 15*T1^12*T2^16 - 12*T1^13*T2^16 + 
      7*T1^14*T2^16 - 3*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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), -((25 - 135*T1 + 299*T1^2 - 432*T1^3 + 473*T1^4 - 432*T1^5 + 
      299*T1^6 - 135*T1^7 + 25*T1^8 - 135*T2 + 598*T1*T2 - 905*T1^2*T2 + 
      749*T1^3*T2 - 238*T1^4*T2 - 238*T1^5*T2 + 749*T1^6*T2 - 905*T1^7*T2 + 
      598*T1^8*T2 - 135*T1^9*T2 + 299*T2^2 - 905*T1*T2^2 + 20*T1^2*T2^2 + 
      1881*T1^3*T2^2 - 3447*T1^4*T2^2 + 3646*T1^5*T2^2 - 3447*T1^6*T2^2 + 
      1881*T1^7*T2^2 + 20*T1^8*T2^2 - 905*T1^9*T2^2 + 299*T1^10*T2^2 - 
      432*T2^3 + 749*T1*T2^3 + 1881*T1^2*T2^3 - 3836*T1^3*T2^3 + 
      3317*T1^4*T2^3 - 701*T1^5*T2^3 - 701*T1^6*T2^3 + 3317*T1^7*T2^3 - 
      3836*T1^8*T2^3 + 1881*T1^9*T2^3 + 749*T1^10*T2^3 - 432*T1^11*T2^3 + 
      473*T2^4 - 238*T1*T2^4 - 3447*T1^2*T2^4 + 3317*T1^3*T2^4 - 
      812*T1^4*T2^4 - 1583*T1^5*T2^4 + 362*T1^6*T2^4 - 1583*T1^7*T2^4 - 
      812*T1^8*T2^4 + 3317*T1^9*T2^4 - 3447*T1^10*T2^4 - 238*T1^11*T2^4 + 
      473*T1^12*T2^4 - 432*T2^5 - 238*T1*T2^5 + 3646*T1^2*T2^5 - 
      701*T1^3*T2^5 - 1583*T1^4*T2^5 + 1810*T1^5*T2^5 + 1094*T1^6*T2^5 + 
      1094*T1^7*T2^5 + 1810*T1^8*T2^5 - 1583*T1^9*T2^5 - 701*T1^10*T2^5 + 
      3646*T1^11*T2^5 - 238*T1^12*T2^5 - 432*T1^13*T2^5 + 299*T2^6 + 
      749*T1*T2^6 - 3447*T1^2*T2^6 - 701*T1^3*T2^6 + 362*T1^4*T2^6 + 
      1094*T1^5*T2^6 - 3277*T1^6*T2^6 - 379*T1^7*T2^6 - 3277*T1^8*T2^6 + 
      1094*T1^9*T2^6 + 362*T1^10*T2^6 - 701*T1^11*T2^6 - 3447*T1^12*T2^6 + 
      749*T1^13*T2^6 + 299*T1^14*T2^6 - 135*T2^7 - 905*T1*T2^7 + 
      1881*T1^2*T2^7 + 3317*T1^3*T2^7 - 1583*T1^4*T2^7 + 1094*T1^5*T2^7 - 
      379*T1^6*T2^7 + 2954*T1^7*T2^7 + 2954*T1^8*T2^7 - 379*T1^9*T2^7 + 
      1094*T1^10*T2^7 - 1583*T1^11*T2^7 + 3317*T1^12*T2^7 + 1881*T1^13*T2^7 - 
      905*T1^14*T2^7 - 135*T1^15*T2^7 + 25*T2^8 + 598*T1*T2^8 + 
      20*T1^2*T2^8 - 3836*T1^3*T2^8 - 812*T1^4*T2^8 + 1810*T1^5*T2^8 - 
      3277*T1^6*T2^8 + 2954*T1^7*T2^8 - 8292*T1^8*T2^8 + 2954*T1^9*T2^8 - 
      3277*T1^10*T2^8 + 1810*T1^11*T2^8 - 812*T1^12*T2^8 - 3836*T1^13*T2^8 + 
      20*T1^14*T2^8 + 598*T1^15*T2^8 + 25*T1^16*T2^8 - 135*T1*T2^9 - 
      905*T1^2*T2^9 + 1881*T1^3*T2^9 + 3317*T1^4*T2^9 - 1583*T1^5*T2^9 + 
      1094*T1^6*T2^9 - 379*T1^7*T2^9 + 2954*T1^8*T2^9 + 2954*T1^9*T2^9 - 
      379*T1^10*T2^9 + 1094*T1^11*T2^9 - 1583*T1^12*T2^9 + 3317*T1^13*T2^9 + 
      1881*T1^14*T2^9 - 905*T1^15*T2^9 - 135*T1^16*T2^9 + 299*T1^2*T2^10 + 
      749*T1^3*T2^10 - 3447*T1^4*T2^10 - 701*T1^5*T2^10 + 362*T1^6*T2^10 + 
      1094*T1^7*T2^10 - 3277*T1^8*T2^10 - 379*T1^9*T2^10 - 3277*T1^10*T2^10 + 
      1094*T1^11*T2^10 + 362*T1^12*T2^10 - 701*T1^13*T2^10 - 
      3447*T1^14*T2^10 + 749*T1^15*T2^10 + 299*T1^16*T2^10 - 432*T1^3*T2^11 - 
      238*T1^4*T2^11 + 3646*T1^5*T2^11 - 701*T1^6*T2^11 - 1583*T1^7*T2^11 + 
      1810*T1^8*T2^11 + 1094*T1^9*T2^11 + 1094*T1^10*T2^11 + 
      1810*T1^11*T2^11 - 1583*T1^12*T2^11 - 701*T1^13*T2^11 + 
      3646*T1^14*T2^11 - 238*T1^15*T2^11 - 432*T1^16*T2^11 + 473*T1^4*T2^12 - 
      238*T1^5*T2^12 - 3447*T1^6*T2^12 + 3317*T1^7*T2^12 - 812*T1^8*T2^12 - 
      1583*T1^9*T2^12 + 362*T1^10*T2^12 - 1583*T1^11*T2^12 - 
      812*T1^12*T2^12 + 3317*T1^13*T2^12 - 3447*T1^14*T2^12 - 
      238*T1^15*T2^12 + 473*T1^16*T2^12 - 432*T1^5*T2^13 + 749*T1^6*T2^13 + 
      1881*T1^7*T2^13 - 3836*T1^8*T2^13 + 3317*T1^9*T2^13 - 701*T1^10*T2^13 - 
      701*T1^11*T2^13 + 3317*T1^12*T2^13 - 3836*T1^13*T2^13 + 
      1881*T1^14*T2^13 + 749*T1^15*T2^13 - 432*T1^16*T2^13 + 299*T1^6*T2^14 - 
      905*T1^7*T2^14 + 20*T1^8*T2^14 + 1881*T1^9*T2^14 - 3447*T1^10*T2^14 + 
      3646*T1^11*T2^14 - 3447*T1^12*T2^14 + 1881*T1^13*T2^14 + 
      20*T1^14*T2^14 - 905*T1^15*T2^14 + 299*T1^16*T2^14 - 135*T1^7*T2^15 + 
      598*T1^8*T2^15 - 905*T1^9*T2^15 + 749*T1^10*T2^15 - 238*T1^11*T2^15 - 
      238*T1^12*T2^15 + 749*T1^13*T2^15 - 905*T1^14*T2^15 + 598*T1^15*T2^15 - 
      135*T1^16*T2^15 + 25*T1^8*T2^16 - 135*T1^9*T2^16 + 299*T1^10*T2^16 - 
      432*T1^11*T2^16 + 473*T1^12*T2^16 - 432*T1^13*T2^16 + 299*T1^14*T2^16 - 
      135*T1^15*T2^16 + 25*T1^16*T2^16)/(T1^8*T2^8))}, 
 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), -((9 - 40*T1 + 84*T1^2 - 128*T1^3 + 145*T1^4 - 128*T1^5 + 
      84*T1^6 - 40*T1^7 + 9*T1^8 - 40*T2 + 138*T1*T2 - 196*T1^2*T2 + 
      196*T1^3*T2 - 76*T1^4*T2 - 76*T1^5*T2 + 196*T1^6*T2 - 196*T1^7*T2 + 
      138*T1^8*T2 - 40*T1^9*T2 + 84*T2^2 - 196*T1*T2^2 + 75*T1^2*T2^2 + 
      104*T1^3*T2^2 - 429*T1^4*T2^2 + 533*T1^5*T2^2 - 429*T1^6*T2^2 + 
      104*T1^7*T2^2 + 75*T1^8*T2^2 - 196*T1^9*T2^2 + 84*T1^10*T2^2 - 
      128*T2^3 + 196*T1*T2^3 + 104*T1^2*T2^3 - 174*T1^3*T2^3 + 
      442*T1^4*T2^3 - 163*T1^5*T2^3 - 163*T1^6*T2^3 + 442*T1^7*T2^3 - 
      174*T1^8*T2^3 + 104*T1^9*T2^3 + 196*T1^10*T2^3 - 128*T1^11*T2^3 + 
      145*T2^4 - 76*T1*T2^4 - 429*T1^2*T2^4 + 442*T1^3*T2^4 - 
      1023*T1^4*T2^4 + 627*T1^5*T2^4 - 565*T1^6*T2^4 + 627*T1^7*T2^4 - 
      1023*T1^8*T2^4 + 442*T1^9*T2^4 - 429*T1^10*T2^4 - 76*T1^11*T2^4 + 
      145*T1^12*T2^4 - 128*T2^5 - 76*T1*T2^5 + 533*T1^2*T2^5 - 
      163*T1^3*T2^5 + 627*T1^4*T2^5 + 366*T1^5*T2^5 - 149*T1^6*T2^5 - 
      149*T1^7*T2^5 + 366*T1^8*T2^5 + 627*T1^9*T2^5 - 163*T1^10*T2^5 + 
      533*T1^11*T2^5 - 76*T1^12*T2^5 - 128*T1^13*T2^5 + 84*T2^6 + 
      196*T1*T2^6 - 429*T1^2*T2^6 - 163*T1^3*T2^6 - 565*T1^4*T2^6 - 
      149*T1^5*T2^6 - 1189*T1^6*T2^6 + 1597*T1^7*T2^6 - 1189*T1^8*T2^6 - 
      149*T1^9*T2^6 - 565*T1^10*T2^6 - 163*T1^11*T2^6 - 429*T1^12*T2^6 + 
      196*T1^13*T2^6 + 84*T1^14*T2^6 - 40*T2^7 - 196*T1*T2^7 + 
      104*T1^2*T2^7 + 442*T1^3*T2^7 + 627*T1^4*T2^7 - 149*T1^5*T2^7 + 
      1597*T1^6*T2^7 - 674*T1^7*T2^7 - 674*T1^8*T2^7 + 1597*T1^9*T2^7 - 
      149*T1^10*T2^7 + 627*T1^11*T2^7 + 442*T1^12*T2^7 + 104*T1^13*T2^7 - 
      196*T1^14*T2^7 - 40*T1^15*T2^7 + 9*T2^8 + 138*T1*T2^8 + 75*T1^2*T2^8 - 
      174*T1^3*T2^8 - 1023*T1^4*T2^8 + 366*T1^5*T2^8 - 1189*T1^6*T2^8 - 
      674*T1^7*T2^8 + 1308*T1^8*T2^8 - 674*T1^9*T2^8 - 1189*T1^10*T2^8 + 
      366*T1^11*T2^8 - 1023*T1^12*T2^8 - 174*T1^13*T2^8 + 75*T1^14*T2^8 + 
      138*T1^15*T2^8 + 9*T1^16*T2^8 - 40*T1*T2^9 - 196*T1^2*T2^9 + 
      104*T1^3*T2^9 + 442*T1^4*T2^9 + 627*T1^5*T2^9 - 149*T1^6*T2^9 + 
      1597*T1^7*T2^9 - 674*T1^8*T2^9 - 674*T1^9*T2^9 + 1597*T1^10*T2^9 - 
      149*T1^11*T2^9 + 627*T1^12*T2^9 + 442*T1^13*T2^9 + 104*T1^14*T2^9 - 
      196*T1^15*T2^9 - 40*T1^16*T2^9 + 84*T1^2*T2^10 + 196*T1^3*T2^10 - 
      429*T1^4*T2^10 - 163*T1^5*T2^10 - 565*T1^6*T2^10 - 149*T1^7*T2^10 - 
      1189*T1^8*T2^10 + 1597*T1^9*T2^10 - 1189*T1^10*T2^10 - 
      149*T1^11*T2^10 - 565*T1^12*T2^10 - 163*T1^13*T2^10 - 429*T1^14*T2^10 + 
      196*T1^15*T2^10 + 84*T1^16*T2^10 - 128*T1^3*T2^11 - 76*T1^4*T2^11 + 
      533*T1^5*T2^11 - 163*T1^6*T2^11 + 627*T1^7*T2^11 + 366*T1^8*T2^11 - 
      149*T1^9*T2^11 - 149*T1^10*T2^11 + 366*T1^11*T2^11 + 627*T1^12*T2^11 - 
      163*T1^13*T2^11 + 533*T1^14*T2^11 - 76*T1^15*T2^11 - 128*T1^16*T2^11 + 
      145*T1^4*T2^12 - 76*T1^5*T2^12 - 429*T1^6*T2^12 + 442*T1^7*T2^12 - 
      1023*T1^8*T2^12 + 627*T1^9*T2^12 - 565*T1^10*T2^12 + 627*T1^11*T2^12 - 
      1023*T1^12*T2^12 + 442*T1^13*T2^12 - 429*T1^14*T2^12 - 76*T1^15*T2^12 + 
      145*T1^16*T2^12 - 128*T1^5*T2^13 + 196*T1^6*T2^13 + 104*T1^7*T2^13 - 
      174*T1^8*T2^13 + 442*T1^9*T2^13 - 163*T1^10*T2^13 - 163*T1^11*T2^13 + 
      442*T1^12*T2^13 - 174*T1^13*T2^13 + 104*T1^14*T2^13 + 196*T1^15*T2^13 - 
      128*T1^16*T2^13 + 84*T1^6*T2^14 - 196*T1^7*T2^14 + 75*T1^8*T2^14 + 
      104*T1^9*T2^14 - 429*T1^10*T2^14 + 533*T1^11*T2^14 - 429*T1^12*T2^14 + 
      104*T1^13*T2^14 + 75*T1^14*T2^14 - 196*T1^15*T2^14 + 84*T1^16*T2^14 - 
      40*T1^7*T2^15 + 138*T1^8*T2^15 - 196*T1^9*T2^15 + 196*T1^10*T2^15 - 
      76*T1^11*T2^15 - 76*T1^12*T2^15 + 196*T1^13*T2^15 - 196*T1^14*T2^15 + 
      138*T1^15*T2^15 - 40*T1^16*T2^15 + 9*T1^8*T2^16 - 40*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 - 40*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 834] -> 
  {-((4 - 19*T + 39*T^2 - 49*T^3 + 39*T^4 - 19*T^5 + 4*T^6)/T^3), 
   -((16 - 72*T1 + 148*T1^2 - 192*T1^3 + 148*T1^4 - 72*T1^5 + 16*T1^6 - 
      72*T2 + 252*T1*T2 - 342*T1^2*T2 + 198*T1^3*T2 + 198*T1^4*T2 - 
      342*T1^5*T2 + 252*T1^6*T2 - 72*T1^7*T2 + 148*T2^2 - 342*T1*T2^2 + 
      105*T1^2*T2^2 + 337*T1^3*T2^2 - 827*T1^4*T2^2 + 337*T1^5*T2^2 + 
      105*T1^6*T2^2 - 342*T1^7*T2^2 + 148*T1^8*T2^2 - 192*T2^3 + 
      198*T1*T2^3 + 337*T1^2*T2^3 - 248*T1^3*T2^3 + 421*T1^4*T2^3 + 
      421*T1^5*T2^3 - 248*T1^6*T2^3 + 337*T1^7*T2^3 + 198*T1^8*T2^3 - 
      192*T1^9*T2^3 + 148*T2^4 + 198*T1*T2^4 - 827*T1^2*T2^4 + 
      421*T1^3*T2^4 - 2148*T1^4*T2^4 + 2104*T1^5*T2^4 - 2148*T1^6*T2^4 + 
      421*T1^7*T2^4 - 827*T1^8*T2^4 + 198*T1^9*T2^4 + 148*T1^10*T2^4 - 
      72*T2^5 - 342*T1*T2^5 + 337*T1^2*T2^5 + 421*T1^3*T2^5 + 
      2104*T1^4*T2^5 - 578*T1^5*T2^5 - 578*T1^6*T2^5 + 2104*T1^7*T2^5 + 
      421*T1^8*T2^5 + 337*T1^9*T2^5 - 342*T1^10*T2^5 - 72*T1^11*T2^5 + 
      16*T2^6 + 252*T1*T2^6 + 105*T1^2*T2^6 - 248*T1^3*T2^6 - 
      2148*T1^4*T2^6 - 578*T1^5*T2^6 + 816*T1^6*T2^6 - 578*T1^7*T2^6 - 
      2148*T1^8*T2^6 - 248*T1^9*T2^6 + 105*T1^10*T2^6 + 252*T1^11*T2^6 + 
      16*T1^12*T2^6 - 72*T1*T2^7 - 342*T1^2*T2^7 + 337*T1^3*T2^7 + 
      421*T1^4*T2^7 + 2104*T1^5*T2^7 - 578*T1^6*T2^7 - 578*T1^7*T2^7 + 
      2104*T1^8*T2^7 + 421*T1^9*T2^7 + 337*T1^10*T2^7 - 342*T1^11*T2^7 - 
      72*T1^12*T2^7 + 148*T1^2*T2^8 + 198*T1^3*T2^8 - 827*T1^4*T2^8 + 
      421*T1^5*T2^8 - 2148*T1^6*T2^8 + 2104*T1^7*T2^8 - 2148*T1^8*T2^8 + 
      421*T1^9*T2^8 - 827*T1^10*T2^8 + 198*T1^11*T2^8 + 148*T1^12*T2^8 - 
      192*T1^3*T2^9 + 198*T1^4*T2^9 + 337*T1^5*T2^9 - 248*T1^6*T2^9 + 
      421*T1^7*T2^9 + 421*T1^8*T2^9 - 248*T1^9*T2^9 + 337*T1^10*T2^9 + 
      198*T1^11*T2^9 - 192*T1^12*T2^9 + 148*T1^4*T2^10 - 342*T1^5*T2^10 + 
      105*T1^6*T2^10 + 337*T1^7*T2^10 - 827*T1^8*T2^10 + 337*T1^9*T2^10 + 
      105*T1^10*T2^10 - 342*T1^11*T2^10 + 148*T1^12*T2^10 - 72*T1^5*T2^11 + 
      252*T1^6*T2^11 - 342*T1^7*T2^11 + 198*T1^8*T2^11 + 198*T1^9*T2^11 - 
      342*T1^10*T2^11 + 252*T1^11*T2^11 - 72*T1^12*T2^11 + 16*T1^6*T2^12 - 
      72*T1^7*T2^12 + 148*T1^8*T2^12 - 192*T1^9*T2^12 + 148*T1^10*T2^12 - 
      72*T1^11*T2^12 + 16*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, -((1 - 3*T1 + 6*T1^2 - 9*T1^3 + 11*T1^4 - 11*T1^5 + 
      11*T1^6 - 9*T1^7 + 6*T1^8 - 3*T1^9 + T1^10 - 3*T2 + 6*T1*T2 - 
      9*T1^2*T2 + 9*T1^3*T2 - 6*T1^4*T2 - 6*T1^7*T2 + 9*T1^8*T2 - 9*T1^9*T2 + 
      6*T1^10*T2 - 3*T1^11*T2 + 6*T2^2 - 9*T1*T2^2 + 16*T1^2*T2^2 - 
      20*T1^3*T2^2 + 23*T1^4*T2^2 - 20*T1^5*T2^2 + 30*T1^6*T2^2 - 
      20*T1^7*T2^2 + 23*T1^8*T2^2 - 20*T1^9*T2^2 + 16*T1^10*T2^2 - 
      9*T1^11*T2^2 + 6*T1^12*T2^2 - 9*T2^3 + 9*T1*T2^3 - 20*T1^2*T2^3 + 
      20*T1^3*T2^3 - 17*T1^4*T2^3 - 12*T1^6*T2^3 - 12*T1^7*T2^3 - 
      17*T1^9*T2^3 + 20*T1^10*T2^3 - 20*T1^11*T2^3 + 9*T1^12*T2^3 - 
      9*T1^13*T2^3 + 11*T2^4 - 6*T1*T2^4 + 23*T1^2*T2^4 - 17*T1^3*T2^4 + 
      15*T1^4*T2^4 + 4*T1^5*T2^4 + 27*T1^6*T2^4 + 5*T1^7*T2^4 + 
      27*T1^8*T2^4 + 4*T1^9*T2^4 + 15*T1^10*T2^4 - 17*T1^11*T2^4 + 
      23*T1^12*T2^4 - 6*T1^13*T2^4 + 11*T1^14*T2^4 - 11*T2^5 - 20*T1^2*T2^5 + 
      4*T1^4*T2^5 - 26*T1^5*T2^5 - 16*T1^6*T2^5 - 28*T1^7*T2^5 - 
      28*T1^8*T2^5 - 16*T1^9*T2^5 - 26*T1^10*T2^5 + 4*T1^11*T2^5 - 
      20*T1^13*T2^5 - 11*T1^15*T2^5 + 11*T2^6 + 30*T1^2*T2^6 - 12*T1^3*T2^6 + 
      27*T1^4*T2^6 - 16*T1^5*T2^6 + 63*T1^6*T2^6 - 14*T1^7*T2^6 + 
      81*T1^8*T2^6 - 14*T1^9*T2^6 + 63*T1^10*T2^6 - 16*T1^11*T2^6 + 
      27*T1^12*T2^6 - 12*T1^13*T2^6 + 30*T1^14*T2^6 + 11*T1^16*T2^6 - 
      9*T2^7 - 6*T1*T2^7 - 20*T1^2*T2^7 - 12*T1^3*T2^7 + 5*T1^4*T2^7 - 
      28*T1^5*T2^7 - 14*T1^6*T2^7 - 28*T1^7*T2^7 - 36*T1^8*T2^7 - 
      36*T1^9*T2^7 - 28*T1^10*T2^7 - 14*T1^11*T2^7 - 28*T1^12*T2^7 + 
      5*T1^13*T2^7 - 12*T1^14*T2^7 - 20*T1^15*T2^7 - 6*T1^16*T2^7 - 
      9*T1^17*T2^7 + 6*T2^8 + 9*T1*T2^8 + 23*T1^2*T2^8 + 27*T1^4*T2^8 - 
      28*T1^5*T2^8 + 81*T1^6*T2^8 - 36*T1^7*T2^8 + 78*T1^8*T2^8 - 
      16*T1^9*T2^8 + 78*T1^10*T2^8 - 36*T1^11*T2^8 + 81*T1^12*T2^8 - 
      28*T1^13*T2^8 + 27*T1^14*T2^8 + 23*T1^16*T2^8 + 9*T1^17*T2^8 + 
      6*T1^18*T2^8 - 3*T2^9 - 9*T1*T2^9 - 20*T1^2*T2^9 - 17*T1^3*T2^9 + 
      4*T1^4*T2^9 - 16*T1^5*T2^9 - 14*T1^6*T2^9 - 36*T1^7*T2^9 - 
      16*T1^8*T2^9 - 22*T1^9*T2^9 - 22*T1^10*T2^9 - 16*T1^11*T2^9 - 
      36*T1^12*T2^9 - 14*T1^13*T2^9 - 16*T1^14*T2^9 + 4*T1^15*T2^9 - 
      17*T1^16*T2^9 - 20*T1^17*T2^9 - 9*T1^18*T2^9 - 3*T1^19*T2^9 + T2^10 + 
      6*T1*T2^10 + 16*T1^2*T2^10 + 20*T1^3*T2^10 + 15*T1^4*T2^10 - 
      26*T1^5*T2^10 + 63*T1^6*T2^10 - 28*T1^7*T2^10 + 78*T1^8*T2^10 - 
      22*T1^9*T2^10 + 48*T1^10*T2^10 - 22*T1^11*T2^10 + 78*T1^12*T2^10 - 
      28*T1^13*T2^10 + 63*T1^14*T2^10 - 26*T1^15*T2^10 + 15*T1^16*T2^10 + 
      20*T1^17*T2^10 + 16*T1^18*T2^10 + 6*T1^19*T2^10 + T1^20*T2^10 - 
      3*T1*T2^11 - 9*T1^2*T2^11 - 20*T1^3*T2^11 - 17*T1^4*T2^11 + 
      4*T1^5*T2^11 - 16*T1^6*T2^11 - 14*T1^7*T2^11 - 36*T1^8*T2^11 - 
      16*T1^9*T2^11 - 22*T1^10*T2^11 - 22*T1^11*T2^11 - 16*T1^12*T2^11 - 
      36*T1^13*T2^11 - 14*T1^14*T2^11 - 16*T1^15*T2^11 + 4*T1^16*T2^11 - 
      17*T1^17*T2^11 - 20*T1^18*T2^11 - 9*T1^19*T2^11 - 3*T1^20*T2^11 + 
      6*T1^2*T2^12 + 9*T1^3*T2^12 + 23*T1^4*T2^12 + 27*T1^6*T2^12 - 
      28*T1^7*T2^12 + 81*T1^8*T2^12 - 36*T1^9*T2^12 + 78*T1^10*T2^12 - 
      16*T1^11*T2^12 + 78*T1^12*T2^12 - 36*T1^13*T2^12 + 81*T1^14*T2^12 - 
      28*T1^15*T2^12 + 27*T1^16*T2^12 + 23*T1^18*T2^12 + 9*T1^19*T2^12 + 
      6*T1^20*T2^12 - 9*T1^3*T2^13 - 6*T1^4*T2^13 - 20*T1^5*T2^13 - 
      12*T1^6*T2^13 + 5*T1^7*T2^13 - 28*T1^8*T2^13 - 14*T1^9*T2^13 - 
      28*T1^10*T2^13 - 36*T1^11*T2^13 - 36*T1^12*T2^13 - 28*T1^13*T2^13 - 
      14*T1^14*T2^13 - 28*T1^15*T2^13 + 5*T1^16*T2^13 - 12*T1^17*T2^13 - 
      20*T1^18*T2^13 - 6*T1^19*T2^13 - 9*T1^20*T2^13 + 11*T1^4*T2^14 + 
      30*T1^6*T2^14 - 12*T1^7*T2^14 + 27*T1^8*T2^14 - 16*T1^9*T2^14 + 
      63*T1^10*T2^14 - 14*T1^11*T2^14 + 81*T1^12*T2^14 - 14*T1^13*T2^14 + 
      63*T1^14*T2^14 - 16*T1^15*T2^14 + 27*T1^16*T2^14 - 12*T1^17*T2^14 + 
      30*T1^18*T2^14 + 11*T1^20*T2^14 - 11*T1^5*T2^15 - 20*T1^7*T2^15 + 
      4*T1^9*T2^15 - 26*T1^10*T2^15 - 16*T1^11*T2^15 - 28*T1^12*T2^15 - 
      28*T1^13*T2^15 - 16*T1^14*T2^15 - 26*T1^15*T2^15 + 4*T1^16*T2^15 - 
      20*T1^18*T2^15 - 11*T1^20*T2^15 + 11*T1^6*T2^16 - 6*T1^7*T2^16 + 
      23*T1^8*T2^16 - 17*T1^9*T2^16 + 15*T1^10*T2^16 + 4*T1^11*T2^16 + 
      27*T1^12*T2^16 + 5*T1^13*T2^16 + 27*T1^14*T2^16 + 4*T1^15*T2^16 + 
      15*T1^16*T2^16 - 17*T1^17*T2^16 + 23*T1^18*T2^16 - 6*T1^19*T2^16 + 
      11*T1^20*T2^16 - 9*T1^7*T2^17 + 9*T1^8*T2^17 - 20*T1^9*T2^17 + 
      20*T1^10*T2^17 - 17*T1^11*T2^17 - 12*T1^13*T2^17 - 12*T1^14*T2^17 - 
      17*T1^16*T2^17 + 20*T1^17*T2^17 - 20*T1^18*T2^17 + 9*T1^19*T2^17 - 
      9*T1^20*T2^17 + 6*T1^8*T2^18 - 9*T1^9*T2^18 + 16*T1^10*T2^18 - 
      20*T1^11*T2^18 + 23*T1^12*T2^18 - 20*T1^13*T2^18 + 30*T1^14*T2^18 - 
      20*T1^15*T2^18 + 23*T1^16*T2^18 - 20*T1^17*T2^18 + 16*T1^18*T2^18 - 
      9*T1^19*T2^18 + 6*T1^20*T2^18 - 3*T1^9*T2^19 + 6*T1^10*T2^19 - 
      9*T1^11*T2^19 + 9*T1^12*T2^19 - 6*T1^13*T2^19 - 6*T1^16*T2^19 + 
      9*T1^17*T2^19 - 9*T1^18*T2^19 + 6*T1^19*T2^19 - 3*T1^20*T2^19 + 
      T1^10*T2^20 - 3*T1^11*T2^20 + 6*T1^12*T2^20 - 9*T1^13*T2^20 + 
      11*T1^14*T2^20 - 11*T1^15*T2^20 + 11*T1^16*T2^20 - 9*T1^17*T2^20 + 
      6*T1^18*T2^20 - 3*T1^19*T2^20 + T1^20*T2^20)/(T1^10*T2^10))}, 
 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, -((1 - 3*T1 + 6*T1^2 - 9*T1^3 + 11*T1^4 - 9*T1^5 + 6*T1^6 - 3*T1^7 + 
      T1^8 - 3*T2 + 6*T1*T2 - 9*T1^2*T2 + 9*T1^3*T2 - 6*T1^4*T2 - 6*T1^5*T2 + 
      9*T1^6*T2 - 9*T1^7*T2 + 6*T1^8*T2 - 3*T1^9*T2 + 6*T2^2 - 9*T1*T2^2 + 
      23*T1^2*T2^2 - 38*T1^3*T2^2 + 53*T1^4*T2^2 - 45*T1^5*T2^2 + 
      53*T1^6*T2^2 - 38*T1^7*T2^2 + 23*T1^8*T2^2 - 9*T1^9*T2^2 + 
      6*T1^10*T2^2 - 9*T2^3 + 9*T1*T2^3 - 38*T1^2*T2^3 + 48*T1^3*T2^3 - 
      48*T1^4*T2^3 + T1^5*T2^3 + T1^6*T2^3 - 48*T1^7*T2^3 + 48*T1^8*T2^3 - 
      38*T1^9*T2^3 + 9*T1^10*T2^3 - 9*T1^11*T2^3 + 11*T2^4 - 6*T1*T2^4 + 
      53*T1^2*T2^4 - 48*T1^3*T2^4 + 57*T1^4*T2^4 - 15*T1^5*T2^4 + 
      65*T1^6*T2^4 - 15*T1^7*T2^4 + 57*T1^8*T2^4 - 48*T1^9*T2^4 + 
      53*T1^10*T2^4 - 6*T1^11*T2^4 + 11*T1^12*T2^4 - 9*T2^5 - 6*T1*T2^5 - 
      45*T1^2*T2^5 + T1^3*T2^5 - 15*T1^4*T2^5 - 34*T1^5*T2^5 - 48*T1^6*T2^5 - 
      48*T1^7*T2^5 - 34*T1^8*T2^5 - 15*T1^9*T2^5 + T1^10*T2^5 - 
      45*T1^11*T2^5 - 6*T1^12*T2^5 - 9*T1^13*T2^5 + 6*T2^6 + 9*T1*T2^6 + 
      53*T1^2*T2^6 + T1^3*T2^6 + 65*T1^4*T2^6 - 48*T1^5*T2^6 + 
      151*T1^6*T2^6 + T1^7*T2^6 + 151*T1^8*T2^6 - 48*T1^9*T2^6 + 
      65*T1^10*T2^6 + T1^11*T2^6 + 53*T1^12*T2^6 + 9*T1^13*T2^6 + 
      6*T1^14*T2^6 - 3*T2^7 - 9*T1*T2^7 - 38*T1^2*T2^7 - 48*T1^3*T2^7 - 
      15*T1^4*T2^7 - 48*T1^5*T2^7 + T1^6*T2^7 - 144*T1^7*T2^7 - 
      144*T1^8*T2^7 + T1^9*T2^7 - 48*T1^10*T2^7 - 15*T1^11*T2^7 - 
      48*T1^12*T2^7 - 38*T1^13*T2^7 - 9*T1^14*T2^7 - 3*T1^15*T2^7 + T2^8 + 
      6*T1*T2^8 + 23*T1^2*T2^8 + 48*T1^3*T2^8 + 57*T1^4*T2^8 - 34*T1^5*T2^8 + 
      151*T1^6*T2^8 - 144*T1^7*T2^8 + 444*T1^8*T2^8 - 144*T1^9*T2^8 + 
      151*T1^10*T2^8 - 34*T1^11*T2^8 + 57*T1^12*T2^8 + 48*T1^13*T2^8 + 
      23*T1^14*T2^8 + 6*T1^15*T2^8 + T1^16*T2^8 - 3*T1*T2^9 - 9*T1^2*T2^9 - 
      38*T1^3*T2^9 - 48*T1^4*T2^9 - 15*T1^5*T2^9 - 48*T1^6*T2^9 + T1^7*T2^9 - 
      144*T1^8*T2^9 - 144*T1^9*T2^9 + T1^10*T2^9 - 48*T1^11*T2^9 - 
      15*T1^12*T2^9 - 48*T1^13*T2^9 - 38*T1^14*T2^9 - 9*T1^15*T2^9 - 
      3*T1^16*T2^9 + 6*T1^2*T2^10 + 9*T1^3*T2^10 + 53*T1^4*T2^10 + 
      T1^5*T2^10 + 65*T1^6*T2^10 - 48*T1^7*T2^10 + 151*T1^8*T2^10 + 
      T1^9*T2^10 + 151*T1^10*T2^10 - 48*T1^11*T2^10 + 65*T1^12*T2^10 + 
      T1^13*T2^10 + 53*T1^14*T2^10 + 9*T1^15*T2^10 + 6*T1^16*T2^10 - 
      9*T1^3*T2^11 - 6*T1^4*T2^11 - 45*T1^5*T2^11 + T1^6*T2^11 - 
      15*T1^7*T2^11 - 34*T1^8*T2^11 - 48*T1^9*T2^11 - 48*T1^10*T2^11 - 
      34*T1^11*T2^11 - 15*T1^12*T2^11 + T1^13*T2^11 - 45*T1^14*T2^11 - 
      6*T1^15*T2^11 - 9*T1^16*T2^11 + 11*T1^4*T2^12 - 6*T1^5*T2^12 + 
      53*T1^6*T2^12 - 48*T1^7*T2^12 + 57*T1^8*T2^12 - 15*T1^9*T2^12 + 
      65*T1^10*T2^12 - 15*T1^11*T2^12 + 57*T1^12*T2^12 - 48*T1^13*T2^12 + 
      53*T1^14*T2^12 - 6*T1^15*T2^12 + 11*T1^16*T2^12 - 9*T1^5*T2^13 + 
      9*T1^6*T2^13 - 38*T1^7*T2^13 + 48*T1^8*T2^13 - 48*T1^9*T2^13 + 
      T1^10*T2^13 + T1^11*T2^13 - 48*T1^12*T2^13 + 48*T1^13*T2^13 - 
      38*T1^14*T2^13 + 9*T1^15*T2^13 - 9*T1^16*T2^13 + 6*T1^6*T2^14 - 
      9*T1^7*T2^14 + 23*T1^8*T2^14 - 38*T1^9*T2^14 + 53*T1^10*T2^14 - 
      45*T1^11*T2^14 + 53*T1^12*T2^14 - 38*T1^13*T2^14 + 23*T1^14*T2^14 - 
      9*T1^15*T2^14 + 6*T1^16*T2^14 - 3*T1^7*T2^15 + 6*T1^8*T2^15 - 
      9*T1^9*T2^15 + 9*T1^10*T2^15 - 6*T1^11*T2^15 - 6*T1^12*T2^15 + 
      9*T1^13*T2^15 - 9*T1^14*T2^15 + 6*T1^15*T2^15 - 3*T1^16*T2^15 + 
      T1^8*T2^16 - 3*T1^9*T2^16 + 6*T1^10*T2^16 - 9*T1^11*T2^16 + 
      11*T1^12*T2^16 - 9*T1^13*T2^16 + 6*T1^14*T2^16 - 3*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, 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, -((1 - 3*T1 + 6*T1^2 - 9*T1^3 + 11*T1^4 - 9*T1^5 + 6*T1^6 - 3*T1^7 + 
      T1^8 - 3*T2 + 6*T1*T2 - 9*T1^2*T2 + 9*T1^3*T2 - 6*T1^4*T2 - 6*T1^5*T2 + 
      9*T1^6*T2 - 9*T1^7*T2 + 6*T1^8*T2 - 3*T1^9*T2 + 6*T2^2 - 9*T1*T2^2 + 
      22*T1^2*T2^2 - 41*T1^3*T2^2 + 67*T1^4*T2^2 - 64*T1^5*T2^2 + 
      67*T1^6*T2^2 - 41*T1^7*T2^2 + 22*T1^8*T2^2 - 9*T1^9*T2^2 + 
      6*T1^10*T2^2 - 9*T2^3 + 9*T1*T2^3 - 41*T1^2*T2^3 + 74*T1^3*T2^3 - 
      99*T1^4*T2^3 + 22*T1^5*T2^3 + 22*T1^6*T2^3 - 99*T1^7*T2^3 + 
      74*T1^8*T2^3 - 41*T1^9*T2^3 + 9*T1^10*T2^3 - 9*T1^11*T2^3 + 11*T2^4 - 
      6*T1*T2^4 + 67*T1^2*T2^4 - 99*T1^3*T2^4 + 103*T1^4*T2^4 + 
      52*T1^5*T2^4 - 21*T1^6*T2^4 + 52*T1^7*T2^4 + 103*T1^8*T2^4 - 
      99*T1^9*T2^4 + 67*T1^10*T2^4 - 6*T1^11*T2^4 + 11*T1^12*T2^4 - 9*T2^5 - 
      6*T1*T2^5 - 64*T1^2*T2^5 + 22*T1^3*T2^5 + 52*T1^4*T2^5 - 
      248*T1^5*T2^5 + 4*T1^6*T2^5 + 4*T1^7*T2^5 - 248*T1^8*T2^5 + 
      52*T1^9*T2^5 + 22*T1^10*T2^5 - 64*T1^11*T2^5 - 6*T1^12*T2^5 - 
      9*T1^13*T2^5 + 6*T2^6 + 9*T1*T2^6 + 67*T1^2*T2^6 + 22*T1^3*T2^6 - 
      21*T1^4*T2^6 + 4*T1^5*T2^6 + 530*T1^6*T2^6 - 392*T1^7*T2^6 + 
      530*T1^8*T2^6 + 4*T1^9*T2^6 - 21*T1^10*T2^6 + 22*T1^11*T2^6 + 
      67*T1^12*T2^6 + 9*T1^13*T2^6 + 6*T1^14*T2^6 - 3*T2^7 - 9*T1*T2^7 - 
      41*T1^2*T2^7 - 99*T1^3*T2^7 + 52*T1^4*T2^7 + 4*T1^5*T2^7 - 
      392*T1^6*T2^7 - 86*T1^7*T2^7 - 86*T1^8*T2^7 - 392*T1^9*T2^7 + 
      4*T1^10*T2^7 + 52*T1^11*T2^7 - 99*T1^12*T2^7 - 41*T1^13*T2^7 - 
      9*T1^14*T2^7 - 3*T1^15*T2^7 + T2^8 + 6*T1*T2^8 + 22*T1^2*T2^8 + 
      74*T1^3*T2^8 + 103*T1^4*T2^8 - 248*T1^5*T2^8 + 530*T1^6*T2^8 - 
      86*T1^7*T2^8 + 468*T1^8*T2^8 - 86*T1^9*T2^8 + 530*T1^10*T2^8 - 
      248*T1^11*T2^8 + 103*T1^12*T2^8 + 74*T1^13*T2^8 + 22*T1^14*T2^8 + 
      6*T1^15*T2^8 + T1^16*T2^8 - 3*T1*T2^9 - 9*T1^2*T2^9 - 41*T1^3*T2^9 - 
      99*T1^4*T2^9 + 52*T1^5*T2^9 + 4*T1^6*T2^9 - 392*T1^7*T2^9 - 
      86*T1^8*T2^9 - 86*T1^9*T2^9 - 392*T1^10*T2^9 + 4*T1^11*T2^9 + 
      52*T1^12*T2^9 - 99*T1^13*T2^9 - 41*T1^14*T2^9 - 9*T1^15*T2^9 - 
      3*T1^16*T2^9 + 6*T1^2*T2^10 + 9*T1^3*T2^10 + 67*T1^4*T2^10 + 
      22*T1^5*T2^10 - 21*T1^6*T2^10 + 4*T1^7*T2^10 + 530*T1^8*T2^10 - 
      392*T1^9*T2^10 + 530*T1^10*T2^10 + 4*T1^11*T2^10 - 21*T1^12*T2^10 + 
      22*T1^13*T2^10 + 67*T1^14*T2^10 + 9*T1^15*T2^10 + 6*T1^16*T2^10 - 
      9*T1^3*T2^11 - 6*T1^4*T2^11 - 64*T1^5*T2^11 + 22*T1^6*T2^11 + 
      52*T1^7*T2^11 - 248*T1^8*T2^11 + 4*T1^9*T2^11 + 4*T1^10*T2^11 - 
      248*T1^11*T2^11 + 52*T1^12*T2^11 + 22*T1^13*T2^11 - 64*T1^14*T2^11 - 
      6*T1^15*T2^11 - 9*T1^16*T2^11 + 11*T1^4*T2^12 - 6*T1^5*T2^12 + 
      67*T1^6*T2^12 - 99*T1^7*T2^12 + 103*T1^8*T2^12 + 52*T1^9*T2^12 - 
      21*T1^10*T2^12 + 52*T1^11*T2^12 + 103*T1^12*T2^12 - 99*T1^13*T2^12 + 
      67*T1^14*T2^12 - 6*T1^15*T2^12 + 11*T1^16*T2^12 - 9*T1^5*T2^13 + 
      9*T1^6*T2^13 - 41*T1^7*T2^13 + 74*T1^8*T2^13 - 99*T1^9*T2^13 + 
      22*T1^10*T2^13 + 22*T1^11*T2^13 - 99*T1^12*T2^13 + 74*T1^13*T2^13 - 
      41*T1^14*T2^13 + 9*T1^15*T2^13 - 9*T1^16*T2^13 + 6*T1^6*T2^14 - 
      9*T1^7*T2^14 + 22*T1^8*T2^14 - 41*T1^9*T2^14 + 67*T1^10*T2^14 - 
      64*T1^11*T2^14 + 67*T1^12*T2^14 - 41*T1^13*T2^14 + 22*T1^14*T2^14 - 
      9*T1^15*T2^14 + 6*T1^16*T2^14 - 3*T1^7*T2^15 + 6*T1^8*T2^15 - 
      9*T1^9*T2^15 + 9*T1^10*T2^15 - 6*T1^11*T2^15 - 6*T1^12*T2^15 + 
      9*T1^13*T2^15 - 9*T1^14*T2^15 + 6*T1^15*T2^15 - 3*T1^16*T2^15 + 
      T1^8*T2^16 - 3*T1^9*T2^16 + 6*T1^10*T2^16 - 9*T1^11*T2^16 + 
      11*T1^12*T2^16 - 9*T1^13*T2^16 + 6*T1^14*T2^16 - 3*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, 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), -((4 - 12*T1 + 16*T1^2 - 20*T1^3 + 20*T1^4 - 
      20*T1^5 + 20*T1^6 - 20*T1^7 + 16*T1^8 - 12*T1^9 + 4*T1^10 - 12*T2 + 
      24*T1*T2 - 12*T1^2*T2 + 12*T1^3*T2 + 12*T1^8*T2 - 12*T1^9*T2 + 
      24*T1^10*T2 - 12*T1^11*T2 + 16*T2^2 - 12*T1*T2^2 - 29*T1^2*T2^2 + 
      20*T1^3*T2^2 - 40*T1^4*T2^2 + 25*T1^5*T2^2 - 25*T1^6*T2^2 + 
      25*T1^7*T2^2 - 40*T1^8*T2^2 + 20*T1^9*T2^2 - 29*T1^10*T2^2 - 
      12*T1^11*T2^2 + 16*T1^12*T2^2 - 20*T2^3 + 12*T1*T2^3 + 20*T1^2*T2^3 + 
      22*T1^3*T2^3 + 10*T1^4*T2^3 + 17*T1^5*T2^3 + 17*T1^8*T2^3 + 
      10*T1^9*T2^3 + 22*T1^10*T2^3 + 20*T1^11*T2^3 + 12*T1^12*T2^3 - 
      20*T1^13*T2^3 + 20*T2^4 - 40*T1^2*T2^4 + 10*T1^3*T2^4 - 84*T1^4*T2^4 + 
      50*T1^5*T2^4 - 85*T1^6*T2^4 + 70*T1^7*T2^4 - 85*T1^8*T2^4 + 
      50*T1^9*T2^4 - 84*T1^10*T2^4 + 10*T1^11*T2^4 - 40*T1^12*T2^4 + 
      20*T1^14*T2^4 - 20*T2^5 + 25*T1^2*T2^5 + 17*T1^3*T2^5 + 50*T1^4*T2^5 + 
      22*T1^5*T2^5 + 20*T1^6*T2^5 + 12*T1^7*T2^5 + 12*T1^8*T2^5 + 
      20*T1^9*T2^5 + 22*T1^10*T2^5 + 50*T1^11*T2^5 + 17*T1^12*T2^5 + 
      25*T1^13*T2^5 - 20*T1^15*T2^5 + 20*T2^6 - 25*T1^2*T2^6 - 85*T1^4*T2^6 + 
      20*T1^5*T2^6 - 94*T1^6*T2^6 + 55*T1^7*T2^6 - 90*T1^8*T2^6 + 
      55*T1^9*T2^6 - 94*T1^10*T2^6 + 20*T1^11*T2^6 - 85*T1^12*T2^6 - 
      25*T1^14*T2^6 + 20*T1^16*T2^6 - 20*T2^7 + 25*T1^2*T2^7 + 70*T1^4*T2^7 + 
      12*T1^5*T2^7 + 55*T1^6*T2^7 + 12*T1^7*T2^7 + 22*T1^8*T2^7 + 
      22*T1^9*T2^7 + 12*T1^10*T2^7 + 55*T1^11*T2^7 + 12*T1^12*T2^7 + 
      70*T1^13*T2^7 + 25*T1^15*T2^7 - 20*T1^17*T2^7 + 16*T2^8 + 12*T1*T2^8 - 
      40*T1^2*T2^8 + 17*T1^3*T2^8 - 85*T1^4*T2^8 + 12*T1^5*T2^8 - 
      90*T1^6*T2^8 + 22*T1^7*T2^8 - 70*T1^8*T2^8 + 30*T1^9*T2^8 - 
      70*T1^10*T2^8 + 22*T1^11*T2^8 - 90*T1^12*T2^8 + 12*T1^13*T2^8 - 
      85*T1^14*T2^8 + 17*T1^15*T2^8 - 40*T1^16*T2^8 + 12*T1^17*T2^8 + 
      16*T1^18*T2^8 - 12*T2^9 - 12*T1*T2^9 + 20*T1^2*T2^9 + 10*T1^3*T2^9 + 
      50*T1^4*T2^9 + 20*T1^5*T2^9 + 55*T1^6*T2^9 + 22*T1^7*T2^9 + 
      30*T1^8*T2^9 + 16*T1^9*T2^9 + 16*T1^10*T2^9 + 30*T1^11*T2^9 + 
      22*T1^12*T2^9 + 55*T1^13*T2^9 + 20*T1^14*T2^9 + 50*T1^15*T2^9 + 
      10*T1^16*T2^9 + 20*T1^17*T2^9 - 12*T1^18*T2^9 - 12*T1^19*T2^9 + 
      4*T2^10 + 24*T1*T2^10 - 29*T1^2*T2^10 + 22*T1^3*T2^10 - 84*T1^4*T2^10 + 
      22*T1^5*T2^10 - 94*T1^6*T2^10 + 12*T1^7*T2^10 - 70*T1^8*T2^10 + 
      16*T1^9*T2^10 - 48*T1^10*T2^10 + 16*T1^11*T2^10 - 70*T1^12*T2^10 + 
      12*T1^13*T2^10 - 94*T1^14*T2^10 + 22*T1^15*T2^10 - 84*T1^16*T2^10 + 
      22*T1^17*T2^10 - 29*T1^18*T2^10 + 24*T1^19*T2^10 + 4*T1^20*T2^10 - 
      12*T1*T2^11 - 12*T1^2*T2^11 + 20*T1^3*T2^11 + 10*T1^4*T2^11 + 
      50*T1^5*T2^11 + 20*T1^6*T2^11 + 55*T1^7*T2^11 + 22*T1^8*T2^11 + 
      30*T1^9*T2^11 + 16*T1^10*T2^11 + 16*T1^11*T2^11 + 30*T1^12*T2^11 + 
      22*T1^13*T2^11 + 55*T1^14*T2^11 + 20*T1^15*T2^11 + 50*T1^16*T2^11 + 
      10*T1^17*T2^11 + 20*T1^18*T2^11 - 12*T1^19*T2^11 - 12*T1^20*T2^11 + 
      16*T1^2*T2^12 + 12*T1^3*T2^12 - 40*T1^4*T2^12 + 17*T1^5*T2^12 - 
      85*T1^6*T2^12 + 12*T1^7*T2^12 - 90*T1^8*T2^12 + 22*T1^9*T2^12 - 
      70*T1^10*T2^12 + 30*T1^11*T2^12 - 70*T1^12*T2^12 + 22*T1^13*T2^12 - 
      90*T1^14*T2^12 + 12*T1^15*T2^12 - 85*T1^16*T2^12 + 17*T1^17*T2^12 - 
      40*T1^18*T2^12 + 12*T1^19*T2^12 + 16*T1^20*T2^12 - 20*T1^3*T2^13 + 
      25*T1^5*T2^13 + 70*T1^7*T2^13 + 12*T1^8*T2^13 + 55*T1^9*T2^13 + 
      12*T1^10*T2^13 + 22*T1^11*T2^13 + 22*T1^12*T2^13 + 12*T1^13*T2^13 + 
      55*T1^14*T2^13 + 12*T1^15*T2^13 + 70*T1^16*T2^13 + 25*T1^18*T2^13 - 
      20*T1^20*T2^13 + 20*T1^4*T2^14 - 25*T1^6*T2^14 - 85*T1^8*T2^14 + 
      20*T1^9*T2^14 - 94*T1^10*T2^14 + 55*T1^11*T2^14 - 90*T1^12*T2^14 + 
      55*T1^13*T2^14 - 94*T1^14*T2^14 + 20*T1^15*T2^14 - 85*T1^16*T2^14 - 
      25*T1^18*T2^14 + 20*T1^20*T2^14 - 20*T1^5*T2^15 + 25*T1^7*T2^15 + 
      17*T1^8*T2^15 + 50*T1^9*T2^15 + 22*T1^10*T2^15 + 20*T1^11*T2^15 + 
      12*T1^12*T2^15 + 12*T1^13*T2^15 + 20*T1^14*T2^15 + 22*T1^15*T2^15 + 
      50*T1^16*T2^15 + 17*T1^17*T2^15 + 25*T1^18*T2^15 - 20*T1^20*T2^15 + 
      20*T1^6*T2^16 - 40*T1^8*T2^16 + 10*T1^9*T2^16 - 84*T1^10*T2^16 + 
      50*T1^11*T2^16 - 85*T1^12*T2^16 + 70*T1^13*T2^16 - 85*T1^14*T2^16 + 
      50*T1^15*T2^16 - 84*T1^16*T2^16 + 10*T1^17*T2^16 - 40*T1^18*T2^16 + 
      20*T1^20*T2^16 - 20*T1^7*T2^17 + 12*T1^8*T2^17 + 20*T1^9*T2^17 + 
      22*T1^10*T2^17 + 10*T1^11*T2^17 + 17*T1^12*T2^17 + 17*T1^15*T2^17 + 
      10*T1^16*T2^17 + 22*T1^17*T2^17 + 20*T1^18*T2^17 + 12*T1^19*T2^17 - 
      20*T1^20*T2^17 + 16*T1^8*T2^18 - 12*T1^9*T2^18 - 29*T1^10*T2^18 + 
      20*T1^11*T2^18 - 40*T1^12*T2^18 + 25*T1^13*T2^18 - 25*T1^14*T2^18 + 
      25*T1^15*T2^18 - 40*T1^16*T2^18 + 20*T1^17*T2^18 - 29*T1^18*T2^18 - 
      12*T1^19*T2^18 + 16*T1^20*T2^18 - 12*T1^9*T2^19 + 24*T1^10*T2^19 - 
      12*T1^11*T2^19 + 12*T1^12*T2^19 + 12*T1^17*T2^19 - 12*T1^18*T2^19 + 
      24*T1^19*T2^19 - 12*T1^20*T2^19 + 4*T1^10*T2^20 - 12*T1^11*T2^20 + 
      16*T1^12*T2^20 - 20*T1^13*T2^20 + 20*T1^14*T2^20 - 20*T1^15*T2^20 + 
      20*T1^16*T2^20 - 20*T1^17*T2^20 + 16*T1^18*T2^20 - 12*T1^19*T2^20 + 
      4*T1^20*T2^20)/(T1^10*T2^10))}, 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), -((25 - 87*T1 + 136*T1^2 - 173*T1^3 + 185*T1^4 - 173*T1^5 + 
      136*T1^6 - 87*T1^7 + 25*T1^8 - 87*T2 + 216*T1*T2 - 171*T1^2*T2 + 
      129*T1^3*T2 - 42*T1^4*T2 - 42*T1^5*T2 + 129*T1^6*T2 - 171*T1^7*T2 + 
      216*T1^8*T2 - 87*T1^9*T2 + 136*T2^2 - 171*T1*T2^2 - 186*T1^2*T2^2 + 
      271*T1^3*T2^2 - 399*T1^4*T2^2 + 414*T1^5*T2^2 - 399*T1^6*T2^2 + 
      271*T1^7*T2^2 - 186*T1^8*T2^2 - 171*T1^9*T2^2 + 136*T1^10*T2^2 - 
      173*T2^3 + 129*T1*T2^3 + 271*T1^2*T2^3 - 18*T1^3*T2^3 + 85*T1^4*T2^3 + 
      4*T1^5*T2^3 + 4*T1^6*T2^3 + 85*T1^7*T2^3 - 18*T1^8*T2^3 + 
      271*T1^9*T2^3 + 129*T1^10*T2^3 - 173*T1^11*T2^3 + 185*T2^4 - 
      42*T1*T2^4 - 399*T1^2*T2^4 + 85*T1^3*T2^4 - 496*T1^4*T2^4 + 
      477*T1^5*T2^4 - 604*T1^6*T2^4 + 477*T1^7*T2^4 - 496*T1^8*T2^4 + 
      85*T1^9*T2^4 - 399*T1^10*T2^4 - 42*T1^11*T2^4 + 185*T1^12*T2^4 - 
      173*T2^5 - 42*T1*T2^5 + 414*T1^2*T2^5 + 4*T1^3*T2^5 + 477*T1^4*T2^5 - 
      130*T1^5*T2^5 + 140*T1^6*T2^5 + 140*T1^7*T2^5 - 130*T1^8*T2^5 + 
      477*T1^9*T2^5 + 4*T1^10*T2^5 + 414*T1^11*T2^5 - 42*T1^12*T2^5 - 
      173*T1^13*T2^5 + 136*T2^6 + 129*T1*T2^6 - 399*T1^2*T2^6 + 4*T1^3*T2^6 - 
      604*T1^4*T2^6 + 140*T1^5*T2^6 - 362*T1^6*T2^6 + 202*T1^7*T2^6 - 
      362*T1^8*T2^6 + 140*T1^9*T2^6 - 604*T1^10*T2^6 + 4*T1^11*T2^6 - 
      399*T1^12*T2^6 + 129*T1^13*T2^6 + 136*T1^14*T2^6 - 87*T2^7 - 
      171*T1*T2^7 + 271*T1^2*T2^7 + 85*T1^3*T2^7 + 477*T1^4*T2^7 + 
      140*T1^5*T2^7 + 202*T1^6*T2^7 + 42*T1^7*T2^7 + 42*T1^8*T2^7 + 
      202*T1^9*T2^7 + 140*T1^10*T2^7 + 477*T1^11*T2^7 + 85*T1^12*T2^7 + 
      271*T1^13*T2^7 - 171*T1^14*T2^7 - 87*T1^15*T2^7 + 25*T2^8 + 
      216*T1*T2^8 - 186*T1^2*T2^8 - 18*T1^3*T2^8 - 496*T1^4*T2^8 - 
      130*T1^5*T2^8 - 362*T1^6*T2^8 + 42*T1^7*T2^8 - 168*T1^8*T2^8 + 
      42*T1^9*T2^8 - 362*T1^10*T2^8 - 130*T1^11*T2^8 - 496*T1^12*T2^8 - 
      18*T1^13*T2^8 - 186*T1^14*T2^8 + 216*T1^15*T2^8 + 25*T1^16*T2^8 - 
      87*T1*T2^9 - 171*T1^2*T2^9 + 271*T1^3*T2^9 + 85*T1^4*T2^9 + 
      477*T1^5*T2^9 + 140*T1^6*T2^9 + 202*T1^7*T2^9 + 42*T1^8*T2^9 + 
      42*T1^9*T2^9 + 202*T1^10*T2^9 + 140*T1^11*T2^9 + 477*T1^12*T2^9 + 
      85*T1^13*T2^9 + 271*T1^14*T2^9 - 171*T1^15*T2^9 - 87*T1^16*T2^9 + 
      136*T1^2*T2^10 + 129*T1^3*T2^10 - 399*T1^4*T2^10 + 4*T1^5*T2^10 - 
      604*T1^6*T2^10 + 140*T1^7*T2^10 - 362*T1^8*T2^10 + 202*T1^9*T2^10 - 
      362*T1^10*T2^10 + 140*T1^11*T2^10 - 604*T1^12*T2^10 + 4*T1^13*T2^10 - 
      399*T1^14*T2^10 + 129*T1^15*T2^10 + 136*T1^16*T2^10 - 173*T1^3*T2^11 - 
      42*T1^4*T2^11 + 414*T1^5*T2^11 + 4*T1^6*T2^11 + 477*T1^7*T2^11 - 
      130*T1^8*T2^11 + 140*T1^9*T2^11 + 140*T1^10*T2^11 - 130*T1^11*T2^11 + 
      477*T1^12*T2^11 + 4*T1^13*T2^11 + 414*T1^14*T2^11 - 42*T1^15*T2^11 - 
      173*T1^16*T2^11 + 185*T1^4*T2^12 - 42*T1^5*T2^12 - 399*T1^6*T2^12 + 
      85*T1^7*T2^12 - 496*T1^8*T2^12 + 477*T1^9*T2^12 - 604*T1^10*T2^12 + 
      477*T1^11*T2^12 - 496*T1^12*T2^12 + 85*T1^13*T2^12 - 399*T1^14*T2^12 - 
      42*T1^15*T2^12 + 185*T1^16*T2^12 - 173*T1^5*T2^13 + 129*T1^6*T2^13 + 
      271*T1^7*T2^13 - 18*T1^8*T2^13 + 85*T1^9*T2^13 + 4*T1^10*T2^13 + 
      4*T1^11*T2^13 + 85*T1^12*T2^13 - 18*T1^13*T2^13 + 271*T1^14*T2^13 + 
      129*T1^15*T2^13 - 173*T1^16*T2^13 + 136*T1^6*T2^14 - 171*T1^7*T2^14 - 
      186*T1^8*T2^14 + 271*T1^9*T2^14 - 399*T1^10*T2^14 + 414*T1^11*T2^14 - 
      399*T1^12*T2^14 + 271*T1^13*T2^14 - 186*T1^14*T2^14 - 171*T1^15*T2^14 + 
      136*T1^16*T2^14 - 87*T1^7*T2^15 + 216*T1^8*T2^15 - 171*T1^9*T2^15 + 
      129*T1^10*T2^15 - 42*T1^11*T2^15 - 42*T1^12*T2^15 + 129*T1^13*T2^15 - 
      171*T1^14*T2^15 + 216*T1^15*T2^15 - 87*T1^16*T2^15 + 25*T1^8*T2^16 - 
      87*T1^9*T2^16 + 136*T1^10*T2^16 - 173*T1^11*T2^16 + 185*T1^12*T2^16 - 
      173*T1^13*T2^16 + 136*T1^14*T2^16 - 87*T1^15*T2^16 + 25*T1^16*T2^16)/
     (T1^8*T2^8))}, 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), -((25 - 99*T1 + 196*T1^2 - 293*T1^3 + 329*T1^4 - 293*T1^5 + 
      196*T1^6 - 99*T1^7 + 25*T1^8 - 99*T2 + 294*T1*T2 - 387*T1^2*T2 + 
      387*T1^3*T2 - 144*T1^4*T2 - 144*T1^5*T2 + 387*T1^6*T2 - 387*T1^7*T2 + 
      294*T1^8*T2 - 99*T1^9*T2 + 196*T2^2 - 387*T1*T2^2 + 170*T1^2*T2^2 + 
      65*T1^3*T2^2 - 589*T1^4*T2^2 + 704*T1^5*T2^2 - 589*T1^6*T2^2 + 
      65*T1^7*T2^2 + 170*T1^8*T2^2 - 387*T1^9*T2^2 + 196*T1^10*T2^2 - 
      293*T2^3 + 387*T1*T2^3 + 65*T1^2*T2^3 - 78*T1^3*T2^3 + 501*T1^4*T2^3 - 
      86*T1^5*T2^3 - 86*T1^6*T2^3 + 501*T1^7*T2^3 - 78*T1^8*T2^3 + 
      65*T1^9*T2^3 + 387*T1^10*T2^3 - 293*T1^11*T2^3 + 329*T2^4 - 
      144*T1*T2^4 - 589*T1^2*T2^4 + 501*T1^3*T2^4 - 1310*T1^4*T2^4 + 
      821*T1^5*T2^4 - 1184*T1^6*T2^4 + 821*T1^7*T2^4 - 1310*T1^8*T2^4 + 
      501*T1^9*T2^4 - 589*T1^10*T2^4 - 144*T1^11*T2^4 + 329*T1^12*T2^4 - 
      293*T2^5 - 144*T1*T2^5 + 704*T1^2*T2^5 - 86*T1^3*T2^5 + 821*T1^4*T2^5 + 
      268*T1^5*T2^5 + 332*T1^6*T2^5 + 332*T1^7*T2^5 + 268*T1^8*T2^5 + 
      821*T1^9*T2^5 - 86*T1^10*T2^5 + 704*T1^11*T2^5 - 144*T1^12*T2^5 - 
      293*T1^13*T2^5 + 196*T2^6 + 387*T1*T2^6 - 589*T1^2*T2^6 - 
      86*T1^3*T2^6 - 1184*T1^4*T2^6 + 332*T1^5*T2^6 - 1854*T1^6*T2^6 + 
      1156*T1^7*T2^6 - 1854*T1^8*T2^6 + 332*T1^9*T2^6 - 1184*T1^10*T2^6 - 
      86*T1^11*T2^6 - 589*T1^12*T2^6 + 387*T1^13*T2^6 + 196*T1^14*T2^6 - 
      99*T2^7 - 387*T1*T2^7 + 65*T1^2*T2^7 + 501*T1^3*T2^7 + 821*T1^4*T2^7 + 
      332*T1^5*T2^7 + 1156*T1^6*T2^7 + 288*T1^7*T2^7 + 288*T1^8*T2^7 + 
      1156*T1^9*T2^7 + 332*T1^10*T2^7 + 821*T1^11*T2^7 + 501*T1^12*T2^7 + 
      65*T1^13*T2^7 - 387*T1^14*T2^7 - 99*T1^15*T2^7 + 25*T2^8 + 
      294*T1*T2^8 + 170*T1^2*T2^8 - 78*T1^3*T2^8 - 1310*T1^4*T2^8 + 
      268*T1^5*T2^8 - 1854*T1^6*T2^8 + 288*T1^7*T2^8 - 1296*T1^8*T2^8 + 
      288*T1^9*T2^8 - 1854*T1^10*T2^8 + 268*T1^11*T2^8 - 1310*T1^12*T2^8 - 
      78*T1^13*T2^8 + 170*T1^14*T2^8 + 294*T1^15*T2^8 + 25*T1^16*T2^8 - 
      99*T1*T2^9 - 387*T1^2*T2^9 + 65*T1^3*T2^9 + 501*T1^4*T2^9 + 
      821*T1^5*T2^9 + 332*T1^6*T2^9 + 1156*T1^7*T2^9 + 288*T1^8*T2^9 + 
      288*T1^9*T2^9 + 1156*T1^10*T2^9 + 332*T1^11*T2^9 + 821*T1^12*T2^9 + 
      501*T1^13*T2^9 + 65*T1^14*T2^9 - 387*T1^15*T2^9 - 99*T1^16*T2^9 + 
      196*T1^2*T2^10 + 387*T1^3*T2^10 - 589*T1^4*T2^10 - 86*T1^5*T2^10 - 
      1184*T1^6*T2^10 + 332*T1^7*T2^10 - 1854*T1^8*T2^10 + 1156*T1^9*T2^10 - 
      1854*T1^10*T2^10 + 332*T1^11*T2^10 - 1184*T1^12*T2^10 - 
      86*T1^13*T2^10 - 589*T1^14*T2^10 + 387*T1^15*T2^10 + 196*T1^16*T2^10 - 
      293*T1^3*T2^11 - 144*T1^4*T2^11 + 704*T1^5*T2^11 - 86*T1^6*T2^11 + 
      821*T1^7*T2^11 + 268*T1^8*T2^11 + 332*T1^9*T2^11 + 332*T1^10*T2^11 + 
      268*T1^11*T2^11 + 821*T1^12*T2^11 - 86*T1^13*T2^11 + 704*T1^14*T2^11 - 
      144*T1^15*T2^11 - 293*T1^16*T2^11 + 329*T1^4*T2^12 - 144*T1^5*T2^12 - 
      589*T1^6*T2^12 + 501*T1^7*T2^12 - 1310*T1^8*T2^12 + 821*T1^9*T2^12 - 
      1184*T1^10*T2^12 + 821*T1^11*T2^12 - 1310*T1^12*T2^12 + 
      501*T1^13*T2^12 - 589*T1^14*T2^12 - 144*T1^15*T2^12 + 329*T1^16*T2^12 - 
      293*T1^5*T2^13 + 387*T1^6*T2^13 + 65*T1^7*T2^13 - 78*T1^8*T2^13 + 
      501*T1^9*T2^13 - 86*T1^10*T2^13 - 86*T1^11*T2^13 + 501*T1^12*T2^13 - 
      78*T1^13*T2^13 + 65*T1^14*T2^13 + 387*T1^15*T2^13 - 293*T1^16*T2^13 + 
      196*T1^6*T2^14 - 387*T1^7*T2^14 + 170*T1^8*T2^14 + 65*T1^9*T2^14 - 
      589*T1^10*T2^14 + 704*T1^11*T2^14 - 589*T1^12*T2^14 + 65*T1^13*T2^14 + 
      170*T1^14*T2^14 - 387*T1^15*T2^14 + 196*T1^16*T2^14 - 99*T1^7*T2^15 + 
      294*T1^8*T2^15 - 387*T1^9*T2^15 + 387*T1^10*T2^15 - 144*T1^11*T2^15 - 
      144*T1^12*T2^15 + 387*T1^13*T2^15 - 387*T1^14*T2^15 + 294*T1^15*T2^15 - 
      99*T1^16*T2^15 + 25*T1^8*T2^16 - 99*T1^9*T2^16 + 196*T1^10*T2^16 - 
      293*T1^11*T2^16 + 329*T1^12*T2^16 - 293*T1^13*T2^16 + 196*T1^14*T2^16 - 
      99*T1^15*T2^16 + 25*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 841] -> 
  {-((4 - 16*T + 28*T^2 - 33*T^3 + 28*T^4 - 16*T^5 + 4*T^6)/T^3), 
   -((144 - 568*T1 + 984*T1^2 - 1160*T1^3 + 984*T1^4 - 568*T1^5 + 144*T1^6 - 
      568*T2 + 1676*T1*T2 - 1648*T1^2*T2 + 696*T1^3*T2 + 696*T1^4*T2 - 
      1648*T1^5*T2 + 1676*T1^6*T2 - 568*T1^7*T2 + 984*T2^2 - 1648*T1*T2^2 - 
      1172*T1^2*T2^2 + 3747*T1^3*T2^2 - 4924*T1^4*T2^2 + 3747*T1^5*T2^2 - 
      1172*T1^6*T2^2 - 1648*T1^7*T2^2 + 984*T1^8*T2^2 - 1160*T2^3 + 
      696*T1*T2^3 + 3747*T1^2*T2^3 - 3832*T1^3*T2^3 + 1783*T1^4*T2^3 + 
      1783*T1^5*T2^3 - 3832*T1^6*T2^3 + 3747*T1^7*T2^3 + 696*T1^8*T2^3 - 
      1160*T1^9*T2^3 + 984*T2^4 + 696*T1*T2^4 - 4924*T1^2*T2^4 + 
      1783*T1^3*T2^4 + 648*T1^4*T2^4 - 2432*T1^5*T2^4 + 648*T1^6*T2^4 + 
      1783*T1^7*T2^4 - 4924*T1^8*T2^4 + 696*T1^9*T2^4 + 984*T1^10*T2^4 - 
      568*T2^5 - 1648*T1*T2^5 + 3747*T1^2*T2^5 + 1783*T1^3*T2^5 - 
      2432*T1^4*T2^5 + 1770*T1^5*T2^5 + 1770*T1^6*T2^5 - 2432*T1^7*T2^5 + 
      1783*T1^8*T2^5 + 3747*T1^9*T2^5 - 1648*T1^10*T2^5 - 568*T1^11*T2^5 + 
      144*T2^6 + 1676*T1*T2^6 - 1172*T1^2*T2^6 - 3832*T1^3*T2^6 + 
      648*T1^4*T2^6 + 1770*T1^5*T2^6 - 4236*T1^6*T2^6 + 1770*T1^7*T2^6 + 
      648*T1^8*T2^6 - 3832*T1^9*T2^6 - 1172*T1^10*T2^6 + 1676*T1^11*T2^6 + 
      144*T1^12*T2^6 - 568*T1*T2^7 - 1648*T1^2*T2^7 + 3747*T1^3*T2^7 + 
      1783*T1^4*T2^7 - 2432*T1^5*T2^7 + 1770*T1^6*T2^7 + 1770*T1^7*T2^7 - 
      2432*T1^8*T2^7 + 1783*T1^9*T2^7 + 3747*T1^10*T2^7 - 1648*T1^11*T2^7 - 
      568*T1^12*T2^7 + 984*T1^2*T2^8 + 696*T1^3*T2^8 - 4924*T1^4*T2^8 + 
      1783*T1^5*T2^8 + 648*T1^6*T2^8 - 2432*T1^7*T2^8 + 648*T1^8*T2^8 + 
      1783*T1^9*T2^8 - 4924*T1^10*T2^8 + 696*T1^11*T2^8 + 984*T1^12*T2^8 - 
      1160*T1^3*T2^9 + 696*T1^4*T2^9 + 3747*T1^5*T2^9 - 3832*T1^6*T2^9 + 
      1783*T1^7*T2^9 + 1783*T1^8*T2^9 - 3832*T1^9*T2^9 + 3747*T1^10*T2^9 + 
      696*T1^11*T2^9 - 1160*T1^12*T2^9 + 984*T1^4*T2^10 - 1648*T1^5*T2^10 - 
      1172*T1^6*T2^10 + 3747*T1^7*T2^10 - 4924*T1^8*T2^10 + 3747*T1^9*T2^10 - 
      1172*T1^10*T2^10 - 1648*T1^11*T2^10 + 984*T1^12*T2^10 - 
      568*T1^5*T2^11 + 1676*T1^6*T2^11 - 1648*T1^7*T2^11 + 696*T1^8*T2^11 + 
      696*T1^9*T2^11 - 1648*T1^10*T2^11 + 1676*T1^11*T2^11 - 
      568*T1^12*T2^11 + 144*T1^6*T2^12 - 568*T1^7*T2^12 + 984*T1^8*T2^12 - 
      1160*T1^9*T2^12 + 984*T1^10*T2^12 - 568*T1^11*T2^12 + 144*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, Alternating, 842] -> 
  {(3 - 11*T + 20*T^2 - 23*T^3 + 20*T^4 - 11*T^5 + 3*T^6)/T^3, 
   (18 - 68*T1 + 122*T1^2 - 140*T1^3 + 122*T1^4 - 68*T1^5 + 18*T1^6 - 68*T2 + 
     188*T1*T2 - 204*T1^2*T2 + 68*T1^3*T2 + 68*T1^4*T2 - 204*T1^5*T2 + 
     188*T1^6*T2 - 68*T1^7*T2 + 122*T2^2 - 204*T1*T2^2 - 58*T1^2*T2^2 + 
     459*T1^3*T2^2 - 540*T1^4*T2^2 + 459*T1^5*T2^2 - 58*T1^6*T2^2 - 
     204*T1^7*T2^2 + 122*T1^8*T2^2 - 140*T2^3 + 68*T1*T2^3 + 459*T1^2*T2^3 - 
     726*T1^3*T2^3 + 262*T1^4*T2^3 + 262*T1^5*T2^3 - 726*T1^6*T2^3 + 
     459*T1^7*T2^3 + 68*T1^8*T2^3 - 140*T1^9*T2^3 + 122*T2^4 + 68*T1*T2^4 - 
     540*T1^2*T2^4 + 262*T1^3*T2^4 + 677*T1^4*T2^4 - 1061*T1^5*T2^4 + 
     677*T1^6*T2^4 + 262*T1^7*T2^4 - 540*T1^8*T2^4 + 68*T1^9*T2^4 + 
     122*T1^10*T2^4 - 68*T2^5 - 204*T1*T2^5 + 459*T1^2*T2^5 + 262*T1^3*T2^5 - 
     1061*T1^4*T2^5 + 614*T1^5*T2^5 + 614*T1^6*T2^5 - 1061*T1^7*T2^5 + 
     262*T1^8*T2^5 + 459*T1^9*T2^5 - 204*T1^10*T2^5 - 68*T1^11*T2^5 + 
     18*T2^6 + 188*T1*T2^6 - 58*T1^2*T2^6 - 726*T1^3*T2^6 + 677*T1^4*T2^6 + 
     614*T1^5*T2^6 - 1500*T1^6*T2^6 + 614*T1^7*T2^6 + 677*T1^8*T2^6 - 
     726*T1^9*T2^6 - 58*T1^10*T2^6 + 188*T1^11*T2^6 + 18*T1^12*T2^6 - 
     68*T1*T2^7 - 204*T1^2*T2^7 + 459*T1^3*T2^7 + 262*T1^4*T2^7 - 
     1061*T1^5*T2^7 + 614*T1^6*T2^7 + 614*T1^7*T2^7 - 1061*T1^8*T2^7 + 
     262*T1^9*T2^7 + 459*T1^10*T2^7 - 204*T1^11*T2^7 - 68*T1^12*T2^7 + 
     122*T1^2*T2^8 + 68*T1^3*T2^8 - 540*T1^4*T2^8 + 262*T1^5*T2^8 + 
     677*T1^6*T2^8 - 1061*T1^7*T2^8 + 677*T1^8*T2^8 + 262*T1^9*T2^8 - 
     540*T1^10*T2^8 + 68*T1^11*T2^8 + 122*T1^12*T2^8 - 140*T1^3*T2^9 + 
     68*T1^4*T2^9 + 459*T1^5*T2^9 - 726*T1^6*T2^9 + 262*T1^7*T2^9 + 
     262*T1^8*T2^9 - 726*T1^9*T2^9 + 459*T1^10*T2^9 + 68*T1^11*T2^9 - 
     140*T1^12*T2^9 + 122*T1^4*T2^10 - 204*T1^5*T2^10 - 58*T1^6*T2^10 + 
     459*T1^7*T2^10 - 540*T1^8*T2^10 + 459*T1^9*T2^10 - 58*T1^10*T2^10 - 
     204*T1^11*T2^10 + 122*T1^12*T2^10 - 68*T1^5*T2^11 + 188*T1^6*T2^11 - 
     204*T1^7*T2^11 + 68*T1^8*T2^11 + 68*T1^9*T2^11 - 204*T1^10*T2^11 + 
     188*T1^11*T2^11 - 68*T1^12*T2^11 + 18*T1^6*T2^12 - 68*T1^7*T2^12 + 
     122*T1^8*T2^12 - 140*T1^9*T2^12 + 122*T1^10*T2^12 - 68*T1^11*T2^12 + 
     18*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 843] -> 
  {-((3 - 11*T + 18*T^2 - 21*T^3 + 18*T^4 - 11*T^5 + 3*T^6)/T^3), 
   -((63 - 229*T1 + 372*T1^2 - 435*T1^3 + 372*T1^4 - 229*T1^5 + 63*T1^6 - 
      229*T2 + 604*T1*T2 - 521*T1^2*T2 + 229*T1^3*T2 + 229*T1^4*T2 - 
      521*T1^5*T2 + 604*T1^6*T2 - 229*T1^7*T2 + 372*T2^2 - 521*T1*T2^2 - 
      485*T1^2*T2^2 + 1111*T1^3*T2^2 - 1495*T1^4*T2^2 + 1111*T1^5*T2^2 - 
      485*T1^6*T2^2 - 521*T1^7*T2^2 + 372*T1^8*T2^2 - 435*T2^3 + 
      229*T1*T2^3 + 1111*T1^2*T2^3 - 824*T1^3*T2^3 + 486*T1^4*T2^3 + 
      486*T1^5*T2^3 - 824*T1^6*T2^3 + 1111*T1^7*T2^3 + 229*T1^8*T2^3 - 
      435*T1^9*T2^3 + 372*T2^4 + 229*T1*T2^4 - 1495*T1^2*T2^4 + 
      486*T1^3*T2^4 - 410*T1^4*T2^4 - 146*T1^5*T2^4 - 410*T1^6*T2^4 + 
      486*T1^7*T2^4 - 1495*T1^8*T2^4 + 229*T1^9*T2^4 + 372*T1^10*T2^4 - 
      229*T2^5 - 521*T1*T2^5 + 1111*T1^2*T2^5 + 486*T1^3*T2^5 - 
      146*T1^4*T2^5 + 434*T1^5*T2^5 + 434*T1^6*T2^5 - 146*T1^7*T2^5 + 
      486*T1^8*T2^5 + 1111*T1^9*T2^5 - 521*T1^10*T2^5 - 229*T1^11*T2^5 + 
      63*T2^6 + 604*T1*T2^6 - 485*T1^2*T2^6 - 824*T1^3*T2^6 - 410*T1^4*T2^6 + 
      434*T1^5*T2^6 - 1212*T1^6*T2^6 + 434*T1^7*T2^6 - 410*T1^8*T2^6 - 
      824*T1^9*T2^6 - 485*T1^10*T2^6 + 604*T1^11*T2^6 + 63*T1^12*T2^6 - 
      229*T1*T2^7 - 521*T1^2*T2^7 + 1111*T1^3*T2^7 + 486*T1^4*T2^7 - 
      146*T1^5*T2^7 + 434*T1^6*T2^7 + 434*T1^7*T2^7 - 146*T1^8*T2^7 + 
      486*T1^9*T2^7 + 1111*T1^10*T2^7 - 521*T1^11*T2^7 - 229*T1^12*T2^7 + 
      372*T1^2*T2^8 + 229*T1^3*T2^8 - 1495*T1^4*T2^8 + 486*T1^5*T2^8 - 
      410*T1^6*T2^8 - 146*T1^7*T2^8 - 410*T1^8*T2^8 + 486*T1^9*T2^8 - 
      1495*T1^10*T2^8 + 229*T1^11*T2^8 + 372*T1^12*T2^8 - 435*T1^3*T2^9 + 
      229*T1^4*T2^9 + 1111*T1^5*T2^9 - 824*T1^6*T2^9 + 486*T1^7*T2^9 + 
      486*T1^8*T2^9 - 824*T1^9*T2^9 + 1111*T1^10*T2^9 + 229*T1^11*T2^9 - 
      435*T1^12*T2^9 + 372*T1^4*T2^10 - 521*T1^5*T2^10 - 485*T1^6*T2^10 + 
      1111*T1^7*T2^10 - 1495*T1^8*T2^10 + 1111*T1^9*T2^10 - 485*T1^10*T2^10 - 
      521*T1^11*T2^10 + 372*T1^12*T2^10 - 229*T1^5*T2^11 + 604*T1^6*T2^11 - 
      521*T1^7*T2^11 + 229*T1^8*T2^11 + 229*T1^9*T2^11 - 521*T1^10*T2^11 + 
      604*T1^11*T2^11 - 229*T1^12*T2^11 + 63*T1^6*T2^12 - 229*T1^7*T2^12 + 
      372*T1^8*T2^12 - 435*T1^9*T2^12 + 372*T1^10*T2^12 - 229*T1^11*T2^12 + 
      63*T1^12*T2^12)/(T1^6*T2^6))}, 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), -((1 - 8*T1 + 24*T1^2 - 43*T1^3 + 51*T1^4 - 43*T1^5 + 24*T1^6 - 
      8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 129*T1^2*T2 + 154*T1^3*T2 - 
      65*T1^4*T2 - 65*T1^5*T2 + 154*T1^6*T2 - 129*T1^7*T2 + 56*T1^8*T2 - 
      8*T1^9*T2 + 24*T2^2 - 129*T1*T2^2 + 94*T1^2*T2^2 + 311*T1^3*T2^2 - 
      970*T1^4*T2^2 + 1228*T1^5*T2^2 - 970*T1^6*T2^2 + 311*T1^7*T2^2 + 
      94*T1^8*T2^2 - 129*T1^9*T2^2 + 24*T1^10*T2^2 - 43*T2^3 + 154*T1*T2^3 + 
      311*T1^2*T2^3 - 1334*T1^3*T2^3 + 1943*T1^4*T2^3 - 804*T1^5*T2^3 - 
      804*T1^6*T2^3 + 1943*T1^7*T2^3 - 1334*T1^8*T2^3 + 311*T1^9*T2^3 + 
      154*T1^10*T2^3 - 43*T1^11*T2^3 + 51*T2^4 - 65*T1*T2^4 - 970*T1^2*T2^4 + 
      1943*T1^3*T2^4 - 1029*T1^4*T2^4 - 2272*T1^5*T2^4 + 3461*T1^6*T2^4 - 
      2272*T1^7*T2^4 - 1029*T1^8*T2^4 + 1943*T1^9*T2^4 - 970*T1^10*T2^4 - 
      65*T1^11*T2^4 + 51*T1^12*T2^4 - 43*T2^5 - 65*T1*T2^5 + 1228*T1^2*T2^5 - 
      804*T1^3*T2^5 - 2272*T1^4*T2^5 + 5552*T1^5*T2^5 - 2404*T1^6*T2^5 - 
      2404*T1^7*T2^5 + 5552*T1^8*T2^5 - 2272*T1^9*T2^5 - 804*T1^10*T2^5 + 
      1228*T1^11*T2^5 - 65*T1^12*T2^5 - 43*T1^13*T2^5 + 24*T2^6 + 
      154*T1*T2^6 - 970*T1^2*T2^6 - 804*T1^3*T2^6 + 3461*T1^4*T2^6 - 
      2404*T1^5*T2^6 - 5876*T1^6*T2^6 + 9234*T1^7*T2^6 - 5876*T1^8*T2^6 - 
      2404*T1^9*T2^6 + 3461*T1^10*T2^6 - 804*T1^11*T2^6 - 970*T1^12*T2^6 + 
      154*T1^13*T2^6 + 24*T1^14*T2^6 - 8*T2^7 - 129*T1*T2^7 + 311*T1^2*T2^7 + 
      1943*T1^3*T2^7 - 2272*T1^4*T2^7 - 2404*T1^5*T2^7 + 9234*T1^6*T2^7 - 
      4448*T1^7*T2^7 - 4448*T1^8*T2^7 + 9234*T1^9*T2^7 - 2404*T1^10*T2^7 - 
      2272*T1^11*T2^7 + 1943*T1^12*T2^7 + 311*T1^13*T2^7 - 129*T1^14*T2^7 - 
      8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 94*T1^2*T2^8 - 1334*T1^3*T2^8 - 
      1029*T1^4*T2^8 + 5552*T1^5*T2^8 - 5876*T1^6*T2^8 - 4448*T1^7*T2^8 + 
      9216*T1^8*T2^8 - 4448*T1^9*T2^8 - 5876*T1^10*T2^8 + 5552*T1^11*T2^8 - 
      1029*T1^12*T2^8 - 1334*T1^13*T2^8 + 94*T1^14*T2^8 + 56*T1^15*T2^8 + 
      T1^16*T2^8 - 8*T1*T2^9 - 129*T1^2*T2^9 + 311*T1^3*T2^9 + 
      1943*T1^4*T2^9 - 2272*T1^5*T2^9 - 2404*T1^6*T2^9 + 9234*T1^7*T2^9 - 
      4448*T1^8*T2^9 - 4448*T1^9*T2^9 + 9234*T1^10*T2^9 - 2404*T1^11*T2^9 - 
      2272*T1^12*T2^9 + 1943*T1^13*T2^9 + 311*T1^14*T2^9 - 129*T1^15*T2^9 - 
      8*T1^16*T2^9 + 24*T1^2*T2^10 + 154*T1^3*T2^10 - 970*T1^4*T2^10 - 
      804*T1^5*T2^10 + 3461*T1^6*T2^10 - 2404*T1^7*T2^10 - 5876*T1^8*T2^10 + 
      9234*T1^9*T2^10 - 5876*T1^10*T2^10 - 2404*T1^11*T2^10 + 
      3461*T1^12*T2^10 - 804*T1^13*T2^10 - 970*T1^14*T2^10 + 
      154*T1^15*T2^10 + 24*T1^16*T2^10 - 43*T1^3*T2^11 - 65*T1^4*T2^11 + 
      1228*T1^5*T2^11 - 804*T1^6*T2^11 - 2272*T1^7*T2^11 + 5552*T1^8*T2^11 - 
      2404*T1^9*T2^11 - 2404*T1^10*T2^11 + 5552*T1^11*T2^11 - 
      2272*T1^12*T2^11 - 804*T1^13*T2^11 + 1228*T1^14*T2^11 - 
      65*T1^15*T2^11 - 43*T1^16*T2^11 + 51*T1^4*T2^12 - 65*T1^5*T2^12 - 
      970*T1^6*T2^12 + 1943*T1^7*T2^12 - 1029*T1^8*T2^12 - 2272*T1^9*T2^12 + 
      3461*T1^10*T2^12 - 2272*T1^11*T2^12 - 1029*T1^12*T2^12 + 
      1943*T1^13*T2^12 - 970*T1^14*T2^12 - 65*T1^15*T2^12 + 51*T1^16*T2^12 - 
      43*T1^5*T2^13 + 154*T1^6*T2^13 + 311*T1^7*T2^13 - 1334*T1^8*T2^13 + 
      1943*T1^9*T2^13 - 804*T1^10*T2^13 - 804*T1^11*T2^13 + 
      1943*T1^12*T2^13 - 1334*T1^13*T2^13 + 311*T1^14*T2^13 + 
      154*T1^15*T2^13 - 43*T1^16*T2^13 + 24*T1^6*T2^14 - 129*T1^7*T2^14 + 
      94*T1^8*T2^14 + 311*T1^9*T2^14 - 970*T1^10*T2^14 + 1228*T1^11*T2^14 - 
      970*T1^12*T2^14 + 311*T1^13*T2^14 + 94*T1^14*T2^14 - 129*T1^15*T2^14 + 
      24*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 129*T1^9*T2^15 + 
      154*T1^10*T2^15 - 65*T1^11*T2^15 - 65*T1^12*T2^15 + 154*T1^13*T2^15 - 
      129*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
      8*T1^9*T2^16 + 24*T1^10*T2^16 - 43*T1^11*T2^16 + 51*T1^12*T2^16 - 
      43*T1^13*T2^16 + 24*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 845] -> 
  {(4 - 14*T + 24*T^2 - 27*T^3 + 24*T^4 - 14*T^5 + 4*T^6)/T^3, 
   (48 - 168*T1 + 280*T1^2 - 312*T1^3 + 280*T1^4 - 168*T1^5 + 48*T1^6 - 
     168*T2 + 418*T1*T2 - 388*T1^2*T2 + 110*T1^3*T2 + 110*T1^4*T2 - 
     388*T1^5*T2 + 418*T1^6*T2 - 168*T1^7*T2 + 280*T2^2 - 388*T1*T2^2 - 
     253*T1^2*T2^2 + 940*T1^3*T2^2 - 1003*T1^4*T2^2 + 940*T1^5*T2^2 - 
     253*T1^6*T2^2 - 388*T1^7*T2^2 + 280*T1^8*T2^2 - 312*T2^3 + 110*T1*T2^3 + 
     940*T1^2*T2^3 - 1214*T1^3*T2^3 + 369*T1^4*T2^3 + 369*T1^5*T2^3 - 
     1214*T1^6*T2^3 + 940*T1^7*T2^3 + 110*T1^8*T2^3 - 312*T1^9*T2^3 + 
     280*T2^4 + 110*T1*T2^4 - 1003*T1^2*T2^4 + 369*T1^3*T2^4 + 
     1084*T1^4*T2^4 - 1572*T1^5*T2^4 + 1084*T1^6*T2^4 + 369*T1^7*T2^4 - 
     1003*T1^8*T2^4 + 110*T1^9*T2^4 + 280*T1^10*T2^4 - 168*T2^5 - 
     388*T1*T2^5 + 940*T1^2*T2^5 + 369*T1^3*T2^5 - 1572*T1^4*T2^5 + 
     880*T1^5*T2^5 + 880*T1^6*T2^5 - 1572*T1^7*T2^5 + 369*T1^8*T2^5 + 
     940*T1^9*T2^5 - 388*T1^10*T2^5 - 168*T1^11*T2^5 + 48*T2^6 + 
     418*T1*T2^6 - 253*T1^2*T2^6 - 1214*T1^3*T2^6 + 1084*T1^4*T2^6 + 
     880*T1^5*T2^6 - 2172*T1^6*T2^6 + 880*T1^7*T2^6 + 1084*T1^8*T2^6 - 
     1214*T1^9*T2^6 - 253*T1^10*T2^6 + 418*T1^11*T2^6 + 48*T1^12*T2^6 - 
     168*T1*T2^7 - 388*T1^2*T2^7 + 940*T1^3*T2^7 + 369*T1^4*T2^7 - 
     1572*T1^5*T2^7 + 880*T1^6*T2^7 + 880*T1^7*T2^7 - 1572*T1^8*T2^7 + 
     369*T1^9*T2^7 + 940*T1^10*T2^7 - 388*T1^11*T2^7 - 168*T1^12*T2^7 + 
     280*T1^2*T2^8 + 110*T1^3*T2^8 - 1003*T1^4*T2^8 + 369*T1^5*T2^8 + 
     1084*T1^6*T2^8 - 1572*T1^7*T2^8 + 1084*T1^8*T2^8 + 369*T1^9*T2^8 - 
     1003*T1^10*T2^8 + 110*T1^11*T2^8 + 280*T1^12*T2^8 - 312*T1^3*T2^9 + 
     110*T1^4*T2^9 + 940*T1^5*T2^9 - 1214*T1^6*T2^9 + 369*T1^7*T2^9 + 
     369*T1^8*T2^9 - 1214*T1^9*T2^9 + 940*T1^10*T2^9 + 110*T1^11*T2^9 - 
     312*T1^12*T2^9 + 280*T1^4*T2^10 - 388*T1^5*T2^10 - 253*T1^6*T2^10 + 
     940*T1^7*T2^10 - 1003*T1^8*T2^10 + 940*T1^9*T2^10 - 253*T1^10*T2^10 - 
     388*T1^11*T2^10 + 280*T1^12*T2^10 - 168*T1^5*T2^11 + 418*T1^6*T2^11 - 
     388*T1^7*T2^11 + 110*T1^8*T2^11 + 110*T1^9*T2^11 - 388*T1^10*T2^11 + 
     418*T1^11*T2^11 - 168*T1^12*T2^11 + 48*T1^6*T2^12 - 168*T1^7*T2^12 + 
     280*T1^8*T2^12 - 312*T1^9*T2^12 + 280*T1^10*T2^12 - 168*T1^11*T2^12 + 
     48*T1^12*T2^12)/(T1^6*T2^6)}, 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), -((1 - 8*T1 + 24*T1^2 - 43*T1^3 + 51*T1^4 - 43*T1^5 + 24*T1^6 - 
      8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 129*T1^2*T2 + 154*T1^3*T2 - 
      65*T1^4*T2 - 65*T1^5*T2 + 154*T1^6*T2 - 129*T1^7*T2 + 56*T1^8*T2 - 
      8*T1^9*T2 + 24*T2^2 - 129*T1*T2^2 + 94*T1^2*T2^2 + 311*T1^3*T2^2 - 
      972*T1^4*T2^2 + 1232*T1^5*T2^2 - 972*T1^6*T2^2 + 311*T1^7*T2^2 + 
      94*T1^8*T2^2 - 129*T1^9*T2^2 + 24*T1^10*T2^2 - 43*T2^3 + 154*T1*T2^3 + 
      311*T1^2*T2^3 - 1330*T1^3*T2^3 + 1939*T1^4*T2^3 - 804*T1^5*T2^3 - 
      804*T1^6*T2^3 + 1939*T1^7*T2^3 - 1330*T1^8*T2^3 + 311*T1^9*T2^3 + 
      154*T1^10*T2^3 - 43*T1^11*T2^3 + 51*T2^4 - 65*T1*T2^4 - 972*T1^2*T2^4 + 
      1939*T1^3*T2^4 - 1025*T1^4*T2^4 - 2272*T1^5*T2^4 + 3465*T1^6*T2^4 - 
      2272*T1^7*T2^4 - 1025*T1^8*T2^4 + 1939*T1^9*T2^4 - 972*T1^10*T2^4 - 
      65*T1^11*T2^4 + 51*T1^12*T2^4 - 43*T2^5 - 65*T1*T2^5 + 1232*T1^2*T2^5 - 
      804*T1^3*T2^5 - 2272*T1^4*T2^5 + 5552*T1^5*T2^5 - 2408*T1^6*T2^5 - 
      2408*T1^7*T2^5 + 5552*T1^8*T2^5 - 2272*T1^9*T2^5 - 804*T1^10*T2^5 + 
      1232*T1^11*T2^5 - 65*T1^12*T2^5 - 43*T1^13*T2^5 + 24*T2^6 + 
      154*T1*T2^6 - 972*T1^2*T2^6 - 804*T1^3*T2^6 + 3465*T1^4*T2^6 - 
      2408*T1^5*T2^6 - 5876*T1^6*T2^6 + 9238*T1^7*T2^6 - 5876*T1^8*T2^6 - 
      2408*T1^9*T2^6 + 3465*T1^10*T2^6 - 804*T1^11*T2^6 - 972*T1^12*T2^6 + 
      154*T1^13*T2^6 + 24*T1^14*T2^6 - 8*T2^7 - 129*T1*T2^7 + 311*T1^2*T2^7 + 
      1939*T1^3*T2^7 - 2272*T1^4*T2^7 - 2408*T1^5*T2^7 + 9238*T1^6*T2^7 - 
      4444*T1^7*T2^7 - 4444*T1^8*T2^7 + 9238*T1^9*T2^7 - 2408*T1^10*T2^7 - 
      2272*T1^11*T2^7 + 1939*T1^12*T2^7 + 311*T1^13*T2^7 - 129*T1^14*T2^7 - 
      8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 94*T1^2*T2^8 - 1330*T1^3*T2^8 - 
      1025*T1^4*T2^8 + 5552*T1^5*T2^8 - 5876*T1^6*T2^8 - 4444*T1^7*T2^8 + 
      9192*T1^8*T2^8 - 4444*T1^9*T2^8 - 5876*T1^10*T2^8 + 5552*T1^11*T2^8 - 
      1025*T1^12*T2^8 - 1330*T1^13*T2^8 + 94*T1^14*T2^8 + 56*T1^15*T2^8 + 
      T1^16*T2^8 - 8*T1*T2^9 - 129*T1^2*T2^9 + 311*T1^3*T2^9 + 
      1939*T1^4*T2^9 - 2272*T1^5*T2^9 - 2408*T1^6*T2^9 + 9238*T1^7*T2^9 - 
      4444*T1^8*T2^9 - 4444*T1^9*T2^9 + 9238*T1^10*T2^9 - 2408*T1^11*T2^9 - 
      2272*T1^12*T2^9 + 1939*T1^13*T2^9 + 311*T1^14*T2^9 - 129*T1^15*T2^9 - 
      8*T1^16*T2^9 + 24*T1^2*T2^10 + 154*T1^3*T2^10 - 972*T1^4*T2^10 - 
      804*T1^5*T2^10 + 3465*T1^6*T2^10 - 2408*T1^7*T2^10 - 5876*T1^8*T2^10 + 
      9238*T1^9*T2^10 - 5876*T1^10*T2^10 - 2408*T1^11*T2^10 + 
      3465*T1^12*T2^10 - 804*T1^13*T2^10 - 972*T1^14*T2^10 + 
      154*T1^15*T2^10 + 24*T1^16*T2^10 - 43*T1^3*T2^11 - 65*T1^4*T2^11 + 
      1232*T1^5*T2^11 - 804*T1^6*T2^11 - 2272*T1^7*T2^11 + 5552*T1^8*T2^11 - 
      2408*T1^9*T2^11 - 2408*T1^10*T2^11 + 5552*T1^11*T2^11 - 
      2272*T1^12*T2^11 - 804*T1^13*T2^11 + 1232*T1^14*T2^11 - 
      65*T1^15*T2^11 - 43*T1^16*T2^11 + 51*T1^4*T2^12 - 65*T1^5*T2^12 - 
      972*T1^6*T2^12 + 1939*T1^7*T2^12 - 1025*T1^8*T2^12 - 2272*T1^9*T2^12 + 
      3465*T1^10*T2^12 - 2272*T1^11*T2^12 - 1025*T1^12*T2^12 + 
      1939*T1^13*T2^12 - 972*T1^14*T2^12 - 65*T1^15*T2^12 + 51*T1^16*T2^12 - 
      43*T1^5*T2^13 + 154*T1^6*T2^13 + 311*T1^7*T2^13 - 1330*T1^8*T2^13 + 
      1939*T1^9*T2^13 - 804*T1^10*T2^13 - 804*T1^11*T2^13 + 
      1939*T1^12*T2^13 - 1330*T1^13*T2^13 + 311*T1^14*T2^13 + 
      154*T1^15*T2^13 - 43*T1^16*T2^13 + 24*T1^6*T2^14 - 129*T1^7*T2^14 + 
      94*T1^8*T2^14 + 311*T1^9*T2^14 - 972*T1^10*T2^14 + 1232*T1^11*T2^14 - 
      972*T1^12*T2^14 + 311*T1^13*T2^14 + 94*T1^14*T2^14 - 129*T1^15*T2^14 + 
      24*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 129*T1^9*T2^15 + 
      154*T1^10*T2^15 - 65*T1^11*T2^15 - 65*T1^12*T2^15 + 154*T1^13*T2^15 - 
      129*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
      8*T1^9*T2^16 + 24*T1^10*T2^16 - 43*T1^11*T2^16 + 51*T1^12*T2^16 - 
      43*T1^13*T2^16 + 24*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, 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, 
   (2 - 16*T1 + 48*T1^2 - 78*T1^3 + 90*T1^4 - 78*T1^5 + 48*T1^6 - 16*T1^7 + 
     2*T1^8 - 16*T2 + 112*T1*T2 - 255*T1^2*T2 + 238*T1^3*T2 - 95*T1^4*T2 - 
     95*T1^5*T2 + 238*T1^6*T2 - 255*T1^7*T2 + 112*T1^8*T2 - 16*T1^9*T2 + 
     48*T2^2 - 255*T1*T2^2 + 184*T1^2*T2^2 + 758*T1^3*T2^2 - 1564*T1^4*T2^2 + 
     1872*T1^5*T2^2 - 1564*T1^6*T2^2 + 758*T1^7*T2^2 + 184*T1^8*T2^2 - 
     255*T1^9*T2^2 + 48*T1^10*T2^2 - 78*T2^3 + 238*T1*T2^3 + 758*T1^2*T2^3 - 
     2976*T1^3*T2^3 + 2710*T1^4*T2^3 - 1064*T1^5*T2^3 - 1064*T1^6*T2^3 + 
     2710*T1^7*T2^3 - 2976*T1^8*T2^3 + 758*T1^9*T2^3 + 238*T1^10*T2^3 - 
     78*T1^11*T2^3 + 90*T2^4 - 95*T1*T2^4 - 1564*T1^2*T2^4 + 2710*T1^3*T2^4 + 
     2155*T1^4*T2^4 - 5919*T1^5*T2^4 + 7361*T1^6*T2^4 - 5919*T1^7*T2^4 + 
     2155*T1^8*T2^4 + 2710*T1^9*T2^4 - 1564*T1^10*T2^4 - 95*T1^11*T2^4 + 
     90*T1^12*T2^4 - 78*T2^5 - 95*T1*T2^5 + 1872*T1^2*T2^5 - 1064*T1^3*T2^5 - 
     5919*T1^4*T2^5 + 5564*T1^5*T2^5 - 2274*T1^6*T2^5 - 2274*T1^7*T2^5 + 
     5564*T1^8*T2^5 - 5919*T1^9*T2^5 - 1064*T1^10*T2^5 + 1872*T1^11*T2^5 - 
     95*T1^12*T2^5 - 78*T1^13*T2^5 + 48*T2^6 + 238*T1*T2^6 - 1564*T1^2*T2^6 - 
     1064*T1^3*T2^6 + 7361*T1^4*T2^6 - 2274*T1^5*T2^6 - 1085*T1^6*T2^6 + 
     2623*T1^7*T2^6 - 1085*T1^8*T2^6 - 2274*T1^9*T2^6 + 7361*T1^10*T2^6 - 
     1064*T1^11*T2^6 - 1564*T1^12*T2^6 + 238*T1^13*T2^6 + 48*T1^14*T2^6 - 
     16*T2^7 - 255*T1*T2^7 + 758*T1^2*T2^7 + 2710*T1^3*T2^7 - 
     5919*T1^4*T2^7 - 2274*T1^5*T2^7 + 2623*T1^6*T2^7 - 1316*T1^7*T2^7 - 
     1316*T1^8*T2^7 + 2623*T1^9*T2^7 - 2274*T1^10*T2^7 - 5919*T1^11*T2^7 + 
     2710*T1^12*T2^7 + 758*T1^13*T2^7 - 255*T1^14*T2^7 - 16*T1^15*T2^7 + 
     2*T2^8 + 112*T1*T2^8 + 184*T1^2*T2^8 - 2976*T1^3*T2^8 + 2155*T1^4*T2^8 + 
     5564*T1^5*T2^8 - 1085*T1^6*T2^8 - 1316*T1^7*T2^8 + 2616*T1^8*T2^8 - 
     1316*T1^9*T2^8 - 1085*T1^10*T2^8 + 5564*T1^11*T2^8 + 2155*T1^12*T2^8 - 
     2976*T1^13*T2^8 + 184*T1^14*T2^8 + 112*T1^15*T2^8 + 2*T1^16*T2^8 - 
     16*T1*T2^9 - 255*T1^2*T2^9 + 758*T1^3*T2^9 + 2710*T1^4*T2^9 - 
     5919*T1^5*T2^9 - 2274*T1^6*T2^9 + 2623*T1^7*T2^9 - 1316*T1^8*T2^9 - 
     1316*T1^9*T2^9 + 2623*T1^10*T2^9 - 2274*T1^11*T2^9 - 5919*T1^12*T2^9 + 
     2710*T1^13*T2^9 + 758*T1^14*T2^9 - 255*T1^15*T2^9 - 16*T1^16*T2^9 + 
     48*T1^2*T2^10 + 238*T1^3*T2^10 - 1564*T1^4*T2^10 - 1064*T1^5*T2^10 + 
     7361*T1^6*T2^10 - 2274*T1^7*T2^10 - 1085*T1^8*T2^10 + 2623*T1^9*T2^10 - 
     1085*T1^10*T2^10 - 2274*T1^11*T2^10 + 7361*T1^12*T2^10 - 
     1064*T1^13*T2^10 - 1564*T1^14*T2^10 + 238*T1^15*T2^10 + 48*T1^16*T2^10 - 
     78*T1^3*T2^11 - 95*T1^4*T2^11 + 1872*T1^5*T2^11 - 1064*T1^6*T2^11 - 
     5919*T1^7*T2^11 + 5564*T1^8*T2^11 - 2274*T1^9*T2^11 - 2274*T1^10*T2^11 + 
     5564*T1^11*T2^11 - 5919*T1^12*T2^11 - 1064*T1^13*T2^11 + 
     1872*T1^14*T2^11 - 95*T1^15*T2^11 - 78*T1^16*T2^11 + 90*T1^4*T2^12 - 
     95*T1^5*T2^12 - 1564*T1^6*T2^12 + 2710*T1^7*T2^12 + 2155*T1^8*T2^12 - 
     5919*T1^9*T2^12 + 7361*T1^10*T2^12 - 5919*T1^11*T2^12 + 
     2155*T1^12*T2^12 + 2710*T1^13*T2^12 - 1564*T1^14*T2^12 - 
     95*T1^15*T2^12 + 90*T1^16*T2^12 - 78*T1^5*T2^13 + 238*T1^6*T2^13 + 
     758*T1^7*T2^13 - 2976*T1^8*T2^13 + 2710*T1^9*T2^13 - 1064*T1^10*T2^13 - 
     1064*T1^11*T2^13 + 2710*T1^12*T2^13 - 2976*T1^13*T2^13 + 
     758*T1^14*T2^13 + 238*T1^15*T2^13 - 78*T1^16*T2^13 + 48*T1^6*T2^14 - 
     255*T1^7*T2^14 + 184*T1^8*T2^14 + 758*T1^9*T2^14 - 1564*T1^10*T2^14 + 
     1872*T1^11*T2^14 - 1564*T1^12*T2^14 + 758*T1^13*T2^14 + 
     184*T1^14*T2^14 - 255*T1^15*T2^14 + 48*T1^16*T2^14 - 16*T1^7*T2^15 + 
     112*T1^8*T2^15 - 255*T1^9*T2^15 + 238*T1^10*T2^15 - 95*T1^11*T2^15 - 
     95*T1^12*T2^15 + 238*T1^13*T2^15 - 255*T1^14*T2^15 + 112*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)/(T1^8*T2^8)}, 
 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, 
   -((17 - 76*T1 + 176*T1^2 - 258*T1^3 + 291*T1^4 - 258*T1^5 + 176*T1^6 - 
      76*T1^7 + 17*T1^8 - 76*T2 + 264*T1*T2 - 448*T1^2*T2 + 368*T1^3*T2 - 
      148*T1^4*T2 - 148*T1^5*T2 + 368*T1^6*T2 - 448*T1^7*T2 + 264*T1^8*T2 - 
      76*T1^9*T2 + 176*T2^2 - 448*T1*T2^2 + 468*T1^2*T2^2 + 115*T1^3*T2^2 - 
      442*T1^4*T2^2 + 618*T1^5*T2^2 - 442*T1^6*T2^2 + 115*T1^7*T2^2 + 
      468*T1^8*T2^2 - 448*T1^9*T2^2 + 176*T1^10*T2^2 - 258*T2^3 + 
      368*T1*T2^3 + 115*T1^2*T2^3 - 1148*T1^3*T2^3 + 792*T1^4*T2^3 - 
      386*T1^5*T2^3 - 386*T1^6*T2^3 + 792*T1^7*T2^3 - 1148*T1^8*T2^3 + 
      115*T1^9*T2^3 + 368*T1^10*T2^3 - 258*T1^11*T2^3 + 291*T2^4 - 
      148*T1*T2^4 - 442*T1^2*T2^4 + 792*T1^3*T2^4 + 1281*T1^4*T2^4 - 
      1982*T1^5*T2^4 + 2631*T1^6*T2^4 - 1982*T1^7*T2^4 + 1281*T1^8*T2^4 + 
      792*T1^9*T2^4 - 442*T1^10*T2^4 - 148*T1^11*T2^4 + 291*T1^12*T2^4 - 
      258*T2^5 - 148*T1*T2^5 + 618*T1^2*T2^5 - 386*T1^3*T2^5 - 
      1982*T1^4*T2^5 + 1022*T1^5*T2^5 - 744*T1^6*T2^5 - 744*T1^7*T2^5 + 
      1022*T1^8*T2^5 - 1982*T1^9*T2^5 - 386*T1^10*T2^5 + 618*T1^11*T2^5 - 
      148*T1^12*T2^5 - 258*T1^13*T2^5 + 176*T2^6 + 368*T1*T2^6 - 
      442*T1^2*T2^6 - 386*T1^3*T2^6 + 2631*T1^4*T2^6 - 744*T1^5*T2^6 + 
      1195*T1^6*T2^6 - 307*T1^7*T2^6 + 1195*T1^8*T2^6 - 744*T1^9*T2^6 + 
      2631*T1^10*T2^6 - 386*T1^11*T2^6 - 442*T1^12*T2^6 + 368*T1^13*T2^6 + 
      176*T1^14*T2^6 - 76*T2^7 - 448*T1*T2^7 + 115*T1^2*T2^7 + 
      792*T1^3*T2^7 - 1982*T1^4*T2^7 - 744*T1^5*T2^7 - 307*T1^6*T2^7 - 
      550*T1^7*T2^7 - 550*T1^8*T2^7 - 307*T1^9*T2^7 - 744*T1^10*T2^7 - 
      1982*T1^11*T2^7 + 792*T1^12*T2^7 + 115*T1^13*T2^7 - 448*T1^14*T2^7 - 
      76*T1^15*T2^7 + 17*T2^8 + 264*T1*T2^8 + 468*T1^2*T2^8 - 
      1148*T1^3*T2^8 + 1281*T1^4*T2^8 + 1022*T1^5*T2^8 + 1195*T1^6*T2^8 - 
      550*T1^7*T2^8 + 1704*T1^8*T2^8 - 550*T1^9*T2^8 + 1195*T1^10*T2^8 + 
      1022*T1^11*T2^8 + 1281*T1^12*T2^8 - 1148*T1^13*T2^8 + 468*T1^14*T2^8 + 
      264*T1^15*T2^8 + 17*T1^16*T2^8 - 76*T1*T2^9 - 448*T1^2*T2^9 + 
      115*T1^3*T2^9 + 792*T1^4*T2^9 - 1982*T1^5*T2^9 - 744*T1^6*T2^9 - 
      307*T1^7*T2^9 - 550*T1^8*T2^9 - 550*T1^9*T2^9 - 307*T1^10*T2^9 - 
      744*T1^11*T2^9 - 1982*T1^12*T2^9 + 792*T1^13*T2^9 + 115*T1^14*T2^9 - 
      448*T1^15*T2^9 - 76*T1^16*T2^9 + 176*T1^2*T2^10 + 368*T1^3*T2^10 - 
      442*T1^4*T2^10 - 386*T1^5*T2^10 + 2631*T1^6*T2^10 - 744*T1^7*T2^10 + 
      1195*T1^8*T2^10 - 307*T1^9*T2^10 + 1195*T1^10*T2^10 - 744*T1^11*T2^10 + 
      2631*T1^12*T2^10 - 386*T1^13*T2^10 - 442*T1^14*T2^10 + 
      368*T1^15*T2^10 + 176*T1^16*T2^10 - 258*T1^3*T2^11 - 148*T1^4*T2^11 + 
      618*T1^5*T2^11 - 386*T1^6*T2^11 - 1982*T1^7*T2^11 + 1022*T1^8*T2^11 - 
      744*T1^9*T2^11 - 744*T1^10*T2^11 + 1022*T1^11*T2^11 - 
      1982*T1^12*T2^11 - 386*T1^13*T2^11 + 618*T1^14*T2^11 - 
      148*T1^15*T2^11 - 258*T1^16*T2^11 + 291*T1^4*T2^12 - 148*T1^5*T2^12 - 
      442*T1^6*T2^12 + 792*T1^7*T2^12 + 1281*T1^8*T2^12 - 1982*T1^9*T2^12 + 
      2631*T1^10*T2^12 - 1982*T1^11*T2^12 + 1281*T1^12*T2^12 + 
      792*T1^13*T2^12 - 442*T1^14*T2^12 - 148*T1^15*T2^12 + 291*T1^16*T2^12 - 
      258*T1^5*T2^13 + 368*T1^6*T2^13 + 115*T1^7*T2^13 - 1148*T1^8*T2^13 + 
      792*T1^9*T2^13 - 386*T1^10*T2^13 - 386*T1^11*T2^13 + 792*T1^12*T2^13 - 
      1148*T1^13*T2^13 + 115*T1^14*T2^13 + 368*T1^15*T2^13 - 
      258*T1^16*T2^13 + 176*T1^6*T2^14 - 448*T1^7*T2^14 + 468*T1^8*T2^14 + 
      115*T1^9*T2^14 - 442*T1^10*T2^14 + 618*T1^11*T2^14 - 442*T1^12*T2^14 + 
      115*T1^13*T2^14 + 468*T1^14*T2^14 - 448*T1^15*T2^14 + 176*T1^16*T2^14 - 
      76*T1^7*T2^15 + 264*T1^8*T2^15 - 448*T1^9*T2^15 + 368*T1^10*T2^15 - 
      148*T1^11*T2^15 - 148*T1^12*T2^15 + 368*T1^13*T2^15 - 448*T1^14*T2^15 + 
      264*T1^15*T2^15 - 76*T1^16*T2^15 + 17*T1^8*T2^16 - 76*T1^9*T2^16 + 
      176*T1^10*T2^16 - 258*T1^11*T2^16 + 291*T1^12*T2^16 - 258*T1^13*T2^16 + 
      176*T1^14*T2^16 - 76*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 849] -> 
  {(4 - 19*T + 43*T^2 - 55*T^3 + 43*T^4 - 19*T^5 + 4*T^6)/T^3, 
   -((80 - 376*T1 + 844*T1^2 - 1072*T1^3 + 844*T1^4 - 376*T1^5 + 80*T1^6 - 
      376*T2 + 1392*T1*T2 - 2202*T1^2*T2 + 1074*T1^3*T2 + 1074*T1^4*T2 - 
      2202*T1^5*T2 + 1392*T1^6*T2 - 376*T1^7*T2 + 844*T2^2 - 2202*T1*T2^2 + 
      1394*T1^2*T2^2 + 3564*T1^3*T2^2 - 6188*T1^4*T2^2 + 3564*T1^5*T2^2 + 
      1394*T1^6*T2^2 - 2202*T1^7*T2^2 + 844*T1^8*T2^2 - 1072*T2^3 + 
      1074*T1*T2^3 + 3564*T1^2*T2^3 - 10400*T1^3*T2^3 + 5397*T1^4*T2^3 + 
      5397*T1^5*T2^3 - 10400*T1^6*T2^3 + 3564*T1^7*T2^3 + 1074*T1^8*T2^3 - 
      1072*T1^9*T2^3 + 844*T2^4 + 1074*T1*T2^4 - 6188*T1^2*T2^4 + 
      5397*T1^3*T2^4 + 12841*T1^4*T2^4 - 22207*T1^5*T2^4 + 12841*T1^6*T2^4 + 
      5397*T1^7*T2^4 - 6188*T1^8*T2^4 + 1074*T1^9*T2^4 + 844*T1^10*T2^4 - 
      376*T2^5 - 2202*T1*T2^5 + 3564*T1^2*T2^5 + 5397*T1^3*T2^5 - 
      22207*T1^4*T2^5 + 11576*T1^5*T2^5 + 11576*T1^6*T2^5 - 22207*T1^7*T2^5 + 
      5397*T1^8*T2^5 + 3564*T1^9*T2^5 - 2202*T1^10*T2^5 - 376*T1^11*T2^5 + 
      80*T2^6 + 1392*T1*T2^6 + 1394*T1^2*T2^6 - 10400*T1^3*T2^6 + 
      12841*T1^4*T2^6 + 11576*T1^5*T2^6 - 24108*T1^6*T2^6 + 11576*T1^7*T2^6 + 
      12841*T1^8*T2^6 - 10400*T1^9*T2^6 + 1394*T1^10*T2^6 + 1392*T1^11*T2^6 + 
      80*T1^12*T2^6 - 376*T1*T2^7 - 2202*T1^2*T2^7 + 3564*T1^3*T2^7 + 
      5397*T1^4*T2^7 - 22207*T1^5*T2^7 + 11576*T1^6*T2^7 + 11576*T1^7*T2^7 - 
      22207*T1^8*T2^7 + 5397*T1^9*T2^7 + 3564*T1^10*T2^7 - 2202*T1^11*T2^7 - 
      376*T1^12*T2^7 + 844*T1^2*T2^8 + 1074*T1^3*T2^8 - 6188*T1^4*T2^8 + 
      5397*T1^5*T2^8 + 12841*T1^6*T2^8 - 22207*T1^7*T2^8 + 12841*T1^8*T2^8 + 
      5397*T1^9*T2^8 - 6188*T1^10*T2^8 + 1074*T1^11*T2^8 + 844*T1^12*T2^8 - 
      1072*T1^3*T2^9 + 1074*T1^4*T2^9 + 3564*T1^5*T2^9 - 10400*T1^6*T2^9 + 
      5397*T1^7*T2^9 + 5397*T1^8*T2^9 - 10400*T1^9*T2^9 + 3564*T1^10*T2^9 + 
      1074*T1^11*T2^9 - 1072*T1^12*T2^9 + 844*T1^4*T2^10 - 2202*T1^5*T2^10 + 
      1394*T1^6*T2^10 + 3564*T1^7*T2^10 - 6188*T1^8*T2^10 + 3564*T1^9*T2^10 + 
      1394*T1^10*T2^10 - 2202*T1^11*T2^10 + 844*T1^12*T2^10 - 
      376*T1^5*T2^11 + 1392*T1^6*T2^11 - 2202*T1^7*T2^11 + 1074*T1^8*T2^11 + 
      1074*T1^9*T2^11 - 2202*T1^10*T2^11 + 1392*T1^11*T2^11 - 
      376*T1^12*T2^11 + 80*T1^6*T2^12 - 376*T1^7*T2^12 + 844*T1^8*T2^12 - 
      1072*T1^9*T2^12 + 844*T1^10*T2^12 - 376*T1^11*T2^12 + 80*T1^12*T2^12)/
     (T1^6*T2^6))}, 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), -((2 - 8*T1 + 16*T1^2 - 24*T1^3 + 26*T1^4 - 
      26*T1^5 + 26*T1^6 - 24*T1^7 + 16*T1^8 - 8*T1^9 + 2*T1^10 - 8*T2 + 
      24*T1*T2 - 32*T1^2*T2 + 32*T1^3*T2 - 8*T1^4*T2 - 8*T1^7*T2 + 
      32*T1^8*T2 - 32*T1^9*T2 + 24*T1^10*T2 - 8*T1^11*T2 + 16*T2^2 - 
      32*T1*T2^2 + 16*T1^2*T2^2 + T1^3*T2^2 - 53*T1^4*T2^2 + 25*T1^5*T2^2 - 
      10*T1^6*T2^2 + 25*T1^7*T2^2 - 53*T1^8*T2^2 + T1^9*T2^2 + 
      16*T1^10*T2^2 - 32*T1^11*T2^2 + 16*T1^12*T2^2 - 24*T2^3 + 32*T1*T2^3 + 
      T1^2*T2^3 + 2*T1^3*T2^3 + 57*T1^4*T2^3 + 39*T1^5*T2^3 - 20*T1^6*T2^3 - 
      20*T1^7*T2^3 + 39*T1^8*T2^3 + 57*T1^9*T2^3 + 2*T1^10*T2^3 + 
      T1^11*T2^3 + 32*T1^12*T2^3 - 24*T1^13*T2^3 + 26*T2^4 - 8*T1*T2^4 - 
      53*T1^2*T2^4 + 57*T1^3*T2^4 - 175*T1^4*T2^4 + 52*T1^5*T2^4 - 
      182*T1^6*T2^4 + 213*T1^7*T2^4 - 182*T1^8*T2^4 + 52*T1^9*T2^4 - 
      175*T1^10*T2^4 + 57*T1^11*T2^4 - 53*T1^12*T2^4 - 8*T1^13*T2^4 + 
      26*T1^14*T2^4 - 26*T2^5 + 25*T1^2*T2^5 + 39*T1^3*T2^5 + 52*T1^4*T2^5 + 
      136*T1^5*T2^5 + 88*T1^6*T2^5 - 30*T1^7*T2^5 - 30*T1^8*T2^5 + 
      88*T1^9*T2^5 + 136*T1^10*T2^5 + 52*T1^11*T2^5 + 39*T1^12*T2^5 + 
      25*T1^13*T2^5 - 26*T1^15*T2^5 + 26*T2^6 - 10*T1^2*T2^6 - 20*T1^3*T2^6 - 
      182*T1^4*T2^6 + 88*T1^5*T2^6 - 435*T1^6*T2^6 + 277*T1^7*T2^6 - 
      255*T1^8*T2^6 + 277*T1^9*T2^6 - 435*T1^10*T2^6 + 88*T1^11*T2^6 - 
      182*T1^12*T2^6 - 20*T1^13*T2^6 - 10*T1^14*T2^6 + 26*T1^16*T2^6 - 
      24*T2^7 - 8*T1*T2^7 + 25*T1^2*T2^7 - 20*T1^3*T2^7 + 213*T1^4*T2^7 - 
      30*T1^5*T2^7 + 277*T1^6*T2^7 + 28*T1^7*T2^7 - 8*T1^8*T2^7 - 
      8*T1^9*T2^7 + 28*T1^10*T2^7 + 277*T1^11*T2^7 - 30*T1^12*T2^7 + 
      213*T1^13*T2^7 - 20*T1^14*T2^7 + 25*T1^15*T2^7 - 8*T1^16*T2^7 - 
      24*T1^17*T2^7 + 16*T2^8 + 32*T1*T2^8 - 53*T1^2*T2^8 + 39*T1^3*T2^8 - 
      182*T1^4*T2^8 - 30*T1^5*T2^8 - 255*T1^6*T2^8 - 8*T1^7*T2^8 - 
      104*T1^8*T2^8 + 112*T1^9*T2^8 - 104*T1^10*T2^8 - 8*T1^11*T2^8 - 
      255*T1^12*T2^8 - 30*T1^13*T2^8 - 182*T1^14*T2^8 + 39*T1^15*T2^8 - 
      53*T1^16*T2^8 + 32*T1^17*T2^8 + 16*T1^18*T2^8 - 8*T2^9 - 32*T1*T2^9 + 
      T1^2*T2^9 + 57*T1^3*T2^9 + 52*T1^4*T2^9 + 88*T1^5*T2^9 + 
      277*T1^6*T2^9 - 8*T1^7*T2^9 + 112*T1^8*T2^9 - 36*T1^9*T2^9 - 
      36*T1^10*T2^9 + 112*T1^11*T2^9 - 8*T1^12*T2^9 + 277*T1^13*T2^9 + 
      88*T1^14*T2^9 + 52*T1^15*T2^9 + 57*T1^16*T2^9 + T1^17*T2^9 - 
      32*T1^18*T2^9 - 8*T1^19*T2^9 + 2*T2^10 + 24*T1*T2^10 + 16*T1^2*T2^10 + 
      2*T1^3*T2^10 - 175*T1^4*T2^10 + 136*T1^5*T2^10 - 435*T1^6*T2^10 + 
      28*T1^7*T2^10 - 104*T1^8*T2^10 - 36*T1^9*T2^10 + 72*T1^10*T2^10 - 
      36*T1^11*T2^10 - 104*T1^12*T2^10 + 28*T1^13*T2^10 - 435*T1^14*T2^10 + 
      136*T1^15*T2^10 - 175*T1^16*T2^10 + 2*T1^17*T2^10 + 16*T1^18*T2^10 + 
      24*T1^19*T2^10 + 2*T1^20*T2^10 - 8*T1*T2^11 - 32*T1^2*T2^11 + 
      T1^3*T2^11 + 57*T1^4*T2^11 + 52*T1^5*T2^11 + 88*T1^6*T2^11 + 
      277*T1^7*T2^11 - 8*T1^8*T2^11 + 112*T1^9*T2^11 - 36*T1^10*T2^11 - 
      36*T1^11*T2^11 + 112*T1^12*T2^11 - 8*T1^13*T2^11 + 277*T1^14*T2^11 + 
      88*T1^15*T2^11 + 52*T1^16*T2^11 + 57*T1^17*T2^11 + T1^18*T2^11 - 
      32*T1^19*T2^11 - 8*T1^20*T2^11 + 16*T1^2*T2^12 + 32*T1^3*T2^12 - 
      53*T1^4*T2^12 + 39*T1^5*T2^12 - 182*T1^6*T2^12 - 30*T1^7*T2^12 - 
      255*T1^8*T2^12 - 8*T1^9*T2^12 - 104*T1^10*T2^12 + 112*T1^11*T2^12 - 
      104*T1^12*T2^12 - 8*T1^13*T2^12 - 255*T1^14*T2^12 - 30*T1^15*T2^12 - 
      182*T1^16*T2^12 + 39*T1^17*T2^12 - 53*T1^18*T2^12 + 32*T1^19*T2^12 + 
      16*T1^20*T2^12 - 24*T1^3*T2^13 - 8*T1^4*T2^13 + 25*T1^5*T2^13 - 
      20*T1^6*T2^13 + 213*T1^7*T2^13 - 30*T1^8*T2^13 + 277*T1^9*T2^13 + 
      28*T1^10*T2^13 - 8*T1^11*T2^13 - 8*T1^12*T2^13 + 28*T1^13*T2^13 + 
      277*T1^14*T2^13 - 30*T1^15*T2^13 + 213*T1^16*T2^13 - 20*T1^17*T2^13 + 
      25*T1^18*T2^13 - 8*T1^19*T2^13 - 24*T1^20*T2^13 + 26*T1^4*T2^14 - 
      10*T1^6*T2^14 - 20*T1^7*T2^14 - 182*T1^8*T2^14 + 88*T1^9*T2^14 - 
      435*T1^10*T2^14 + 277*T1^11*T2^14 - 255*T1^12*T2^14 + 277*T1^13*T2^14 - 
      435*T1^14*T2^14 + 88*T1^15*T2^14 - 182*T1^16*T2^14 - 20*T1^17*T2^14 - 
      10*T1^18*T2^14 + 26*T1^20*T2^14 - 26*T1^5*T2^15 + 25*T1^7*T2^15 + 
      39*T1^8*T2^15 + 52*T1^9*T2^15 + 136*T1^10*T2^15 + 88*T1^11*T2^15 - 
      30*T1^12*T2^15 - 30*T1^13*T2^15 + 88*T1^14*T2^15 + 136*T1^15*T2^15 + 
      52*T1^16*T2^15 + 39*T1^17*T2^15 + 25*T1^18*T2^15 - 26*T1^20*T2^15 + 
      26*T1^6*T2^16 - 8*T1^7*T2^16 - 53*T1^8*T2^16 + 57*T1^9*T2^16 - 
      175*T1^10*T2^16 + 52*T1^11*T2^16 - 182*T1^12*T2^16 + 213*T1^13*T2^16 - 
      182*T1^14*T2^16 + 52*T1^15*T2^16 - 175*T1^16*T2^16 + 57*T1^17*T2^16 - 
      53*T1^18*T2^16 - 8*T1^19*T2^16 + 26*T1^20*T2^16 - 24*T1^7*T2^17 + 
      32*T1^8*T2^17 + T1^9*T2^17 + 2*T1^10*T2^17 + 57*T1^11*T2^17 + 
      39*T1^12*T2^17 - 20*T1^13*T2^17 - 20*T1^14*T2^17 + 39*T1^15*T2^17 + 
      57*T1^16*T2^17 + 2*T1^17*T2^17 + T1^18*T2^17 + 32*T1^19*T2^17 - 
      24*T1^20*T2^17 + 16*T1^8*T2^18 - 32*T1^9*T2^18 + 16*T1^10*T2^18 + 
      T1^11*T2^18 - 53*T1^12*T2^18 + 25*T1^13*T2^18 - 10*T1^14*T2^18 + 
      25*T1^15*T2^18 - 53*T1^16*T2^18 + T1^17*T2^18 + 16*T1^18*T2^18 - 
      32*T1^19*T2^18 + 16*T1^20*T2^18 - 8*T1^9*T2^19 + 24*T1^10*T2^19 - 
      32*T1^11*T2^19 + 32*T1^12*T2^19 - 8*T1^13*T2^19 - 8*T1^16*T2^19 + 
      32*T1^17*T2^19 - 32*T1^18*T2^19 + 24*T1^19*T2^19 - 8*T1^20*T2^19 + 
      2*T1^10*T2^20 - 8*T1^11*T2^20 + 16*T1^12*T2^20 - 24*T1^13*T2^20 + 
      26*T1^14*T2^20 - 26*T1^15*T2^20 + 26*T1^16*T2^20 - 24*T1^17*T2^20 + 
      16*T1^18*T2^20 - 8*T1^19*T2^20 + 2*T1^20*T2^20)/(T1^10*T2^10))}, 
 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), -((9 - 40*T1 + 88*T1^2 - 140*T1^3 + 161*T1^4 - 140*T1^5 + 
      88*T1^6 - 40*T1^7 + 9*T1^8 - 40*T2 + 138*T1*T2 - 214*T1^2*T2 + 
      232*T1^3*T2 - 94*T1^4*T2 - 94*T1^5*T2 + 232*T1^6*T2 - 214*T1^7*T2 + 
      138*T1^8*T2 - 40*T1^9*T2 + 88*T2^2 - 214*T1*T2^2 + 159*T1^2*T2^2 - 
      12*T1^3*T2^2 - 376*T1^4*T2^2 + 517*T1^5*T2^2 - 376*T1^6*T2^2 - 
      12*T1^7*T2^2 + 159*T1^8*T2^2 - 214*T1^9*T2^2 + 88*T1^10*T2^2 - 
      140*T2^3 + 232*T1*T2^3 - 12*T1^2*T2^3 - 112*T1^3*T2^3 + 548*T1^4*T2^3 - 
      232*T1^5*T2^3 - 232*T1^6*T2^3 + 548*T1^7*T2^3 - 112*T1^8*T2^3 - 
      12*T1^9*T2^3 + 232*T1^10*T2^3 - 140*T1^11*T2^3 + 161*T2^4 - 
      94*T1*T2^4 - 376*T1^2*T2^4 + 548*T1^3*T2^4 - 1244*T1^4*T2^4 + 
      537*T1^5*T2^4 - 296*T1^6*T2^4 + 537*T1^7*T2^4 - 1244*T1^8*T2^4 + 
      548*T1^9*T2^4 - 376*T1^10*T2^4 - 94*T1^11*T2^4 + 161*T1^12*T2^4 - 
      140*T2^5 - 94*T1*T2^5 + 517*T1^2*T2^5 - 232*T1^3*T2^5 + 537*T1^4*T2^5 + 
      914*T1^5*T2^5 - 459*T1^6*T2^5 - 459*T1^7*T2^5 + 914*T1^8*T2^5 + 
      537*T1^9*T2^5 - 232*T1^10*T2^5 + 517*T1^11*T2^5 - 94*T1^12*T2^5 - 
      140*T1^13*T2^5 + 88*T2^6 + 232*T1*T2^6 - 376*T1^2*T2^6 - 
      232*T1^3*T2^6 - 296*T1^4*T2^6 - 459*T1^5*T2^6 - 1754*T1^6*T2^6 + 
      2682*T1^7*T2^6 - 1754*T1^8*T2^6 - 459*T1^9*T2^6 - 296*T1^10*T2^6 - 
      232*T1^11*T2^6 - 376*T1^12*T2^6 + 232*T1^13*T2^6 + 88*T1^14*T2^6 - 
      40*T2^7 - 214*T1*T2^7 - 12*T1^2*T2^7 + 548*T1^3*T2^7 + 537*T1^4*T2^7 - 
      459*T1^5*T2^7 + 2682*T1^6*T2^7 - 1294*T1^7*T2^7 - 1294*T1^8*T2^7 + 
      2682*T1^9*T2^7 - 459*T1^10*T2^7 + 537*T1^11*T2^7 + 548*T1^12*T2^7 - 
      12*T1^13*T2^7 - 214*T1^14*T2^7 - 40*T1^15*T2^7 + 9*T2^8 + 138*T1*T2^8 + 
      159*T1^2*T2^8 - 112*T1^3*T2^8 - 1244*T1^4*T2^8 + 914*T1^5*T2^8 - 
      1754*T1^6*T2^8 - 1294*T1^7*T2^8 + 2664*T1^8*T2^8 - 1294*T1^9*T2^8 - 
      1754*T1^10*T2^8 + 914*T1^11*T2^8 - 1244*T1^12*T2^8 - 112*T1^13*T2^8 + 
      159*T1^14*T2^8 + 138*T1^15*T2^8 + 9*T1^16*T2^8 - 40*T1*T2^9 - 
      214*T1^2*T2^9 - 12*T1^3*T2^9 + 548*T1^4*T2^9 + 537*T1^5*T2^9 - 
      459*T1^6*T2^9 + 2682*T1^7*T2^9 - 1294*T1^8*T2^9 - 1294*T1^9*T2^9 + 
      2682*T1^10*T2^9 - 459*T1^11*T2^9 + 537*T1^12*T2^9 + 548*T1^13*T2^9 - 
      12*T1^14*T2^9 - 214*T1^15*T2^9 - 40*T1^16*T2^9 + 88*T1^2*T2^10 + 
      232*T1^3*T2^10 - 376*T1^4*T2^10 - 232*T1^5*T2^10 - 296*T1^6*T2^10 - 
      459*T1^7*T2^10 - 1754*T1^8*T2^10 + 2682*T1^9*T2^10 - 1754*T1^10*T2^10 - 
      459*T1^11*T2^10 - 296*T1^12*T2^10 - 232*T1^13*T2^10 - 376*T1^14*T2^10 + 
      232*T1^15*T2^10 + 88*T1^16*T2^10 - 140*T1^3*T2^11 - 94*T1^4*T2^11 + 
      517*T1^5*T2^11 - 232*T1^6*T2^11 + 537*T1^7*T2^11 + 914*T1^8*T2^11 - 
      459*T1^9*T2^11 - 459*T1^10*T2^11 + 914*T1^11*T2^11 + 537*T1^12*T2^11 - 
      232*T1^13*T2^11 + 517*T1^14*T2^11 - 94*T1^15*T2^11 - 140*T1^16*T2^11 + 
      161*T1^4*T2^12 - 94*T1^5*T2^12 - 376*T1^6*T2^12 + 548*T1^7*T2^12 - 
      1244*T1^8*T2^12 + 537*T1^9*T2^12 - 296*T1^10*T2^12 + 537*T1^11*T2^12 - 
      1244*T1^12*T2^12 + 548*T1^13*T2^12 - 376*T1^14*T2^12 - 94*T1^15*T2^12 + 
      161*T1^16*T2^12 - 140*T1^5*T2^13 + 232*T1^6*T2^13 - 12*T1^7*T2^13 - 
      112*T1^8*T2^13 + 548*T1^9*T2^13 - 232*T1^10*T2^13 - 232*T1^11*T2^13 + 
      548*T1^12*T2^13 - 112*T1^13*T2^13 - 12*T1^14*T2^13 + 232*T1^15*T2^13 - 
      140*T1^16*T2^13 + 88*T1^6*T2^14 - 214*T1^7*T2^14 + 159*T1^8*T2^14 - 
      12*T1^9*T2^14 - 376*T1^10*T2^14 + 517*T1^11*T2^14 - 376*T1^12*T2^14 - 
      12*T1^13*T2^14 + 159*T1^14*T2^14 - 214*T1^15*T2^14 + 88*T1^16*T2^14 - 
      40*T1^7*T2^15 + 138*T1^8*T2^15 - 214*T1^9*T2^15 + 232*T1^10*T2^15 - 
      94*T1^11*T2^15 - 94*T1^12*T2^15 + 232*T1^13*T2^15 - 214*T1^14*T2^15 + 
      138*T1^15*T2^15 - 40*T1^16*T2^15 + 9*T1^8*T2^16 - 40*T1^9*T2^16 + 
      88*T1^10*T2^16 - 140*T1^11*T2^16 + 161*T1^12*T2^16 - 140*T1^13*T2^16 + 
      88*T1^14*T2^16 - 40*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 852] -> 
  {-(((1 - T + T^2)^2*(2 - 6*T + 7*T^2 - 6*T^3 + 2*T^4))/T^4), 
   -((9 - 44*T1 + 108*T1^2 - 180*T1^3 + 209*T1^4 - 180*T1^5 + 108*T1^6 - 
      44*T1^7 + 9*T1^8 - 44*T2 + 172*T1*T2 - 316*T1^2*T2 + 356*T1^3*T2 - 
      144*T1^4*T2 - 144*T1^5*T2 + 356*T1^6*T2 - 316*T1^7*T2 + 172*T1^8*T2 - 
      44*T1^9*T2 + 108*T2^2 - 316*T1*T2^2 + 357*T1^2*T2^2 - 93*T1^3*T2^2 - 
      549*T1^4*T2^2 + 755*T1^5*T2^2 - 549*T1^6*T2^2 - 93*T1^7*T2^2 + 
      357*T1^8*T2^2 - 316*T1^9*T2^2 + 108*T1^10*T2^2 - 180*T2^3 + 
      356*T1*T2^3 - 93*T1^2*T2^3 - 418*T1^3*T2^3 + 1080*T1^4*T2^3 - 
      371*T1^5*T2^3 - 371*T1^6*T2^3 + 1080*T1^7*T2^3 - 418*T1^8*T2^3 - 
      93*T1^9*T2^3 + 356*T1^10*T2^3 - 180*T1^11*T2^3 + 209*T2^4 - 
      144*T1*T2^4 - 549*T1^2*T2^4 + 1080*T1^3*T2^4 - 1443*T1^4*T2^4 - 
      248*T1^5*T2^4 + 389*T1^6*T2^4 - 248*T1^7*T2^4 - 1443*T1^8*T2^4 + 
      1080*T1^9*T2^4 - 549*T1^10*T2^4 - 144*T1^11*T2^4 + 209*T1^12*T2^4 - 
      180*T2^5 - 144*T1*T2^5 + 755*T1^2*T2^5 - 371*T1^3*T2^5 - 
      248*T1^4*T2^5 + 2510*T1^5*T2^5 - 621*T1^6*T2^5 - 621*T1^7*T2^5 + 
      2510*T1^8*T2^5 - 248*T1^9*T2^5 - 371*T1^10*T2^5 + 755*T1^11*T2^5 - 
      144*T1^12*T2^5 - 180*T1^13*T2^5 + 108*T2^6 + 356*T1*T2^6 - 
      549*T1^2*T2^6 - 371*T1^3*T2^6 + 389*T1^4*T2^6 - 621*T1^5*T2^6 - 
      4332*T1^6*T2^6 + 4810*T1^7*T2^6 - 4332*T1^8*T2^6 - 621*T1^9*T2^6 + 
      389*T1^10*T2^6 - 371*T1^11*T2^6 - 549*T1^12*T2^6 + 356*T1^13*T2^6 + 
      108*T1^14*T2^6 - 44*T2^7 - 316*T1*T2^7 - 93*T1^2*T2^7 + 
      1080*T1^3*T2^7 - 248*T1^4*T2^7 - 621*T1^5*T2^7 + 4810*T1^6*T2^7 - 
      1216*T1^7*T2^7 - 1216*T1^8*T2^7 + 4810*T1^9*T2^7 - 621*T1^10*T2^7 - 
      248*T1^11*T2^7 + 1080*T1^12*T2^7 - 93*T1^13*T2^7 - 316*T1^14*T2^7 - 
      44*T1^15*T2^7 + 9*T2^8 + 172*T1*T2^8 + 357*T1^2*T2^8 - 418*T1^3*T2^8 - 
      1443*T1^4*T2^8 + 2510*T1^5*T2^8 - 4332*T1^6*T2^8 - 1216*T1^7*T2^8 + 
      1452*T1^8*T2^8 - 1216*T1^9*T2^8 - 4332*T1^10*T2^8 + 2510*T1^11*T2^8 - 
      1443*T1^12*T2^8 - 418*T1^13*T2^8 + 357*T1^14*T2^8 + 172*T1^15*T2^8 + 
      9*T1^16*T2^8 - 44*T1*T2^9 - 316*T1^2*T2^9 - 93*T1^3*T2^9 + 
      1080*T1^4*T2^9 - 248*T1^5*T2^9 - 621*T1^6*T2^9 + 4810*T1^7*T2^9 - 
      1216*T1^8*T2^9 - 1216*T1^9*T2^9 + 4810*T1^10*T2^9 - 621*T1^11*T2^9 - 
      248*T1^12*T2^9 + 1080*T1^13*T2^9 - 93*T1^14*T2^9 - 316*T1^15*T2^9 - 
      44*T1^16*T2^9 + 108*T1^2*T2^10 + 356*T1^3*T2^10 - 549*T1^4*T2^10 - 
      371*T1^5*T2^10 + 389*T1^6*T2^10 - 621*T1^7*T2^10 - 4332*T1^8*T2^10 + 
      4810*T1^9*T2^10 - 4332*T1^10*T2^10 - 621*T1^11*T2^10 + 
      389*T1^12*T2^10 - 371*T1^13*T2^10 - 549*T1^14*T2^10 + 356*T1^15*T2^10 + 
      108*T1^16*T2^10 - 180*T1^3*T2^11 - 144*T1^4*T2^11 + 755*T1^5*T2^11 - 
      371*T1^6*T2^11 - 248*T1^7*T2^11 + 2510*T1^8*T2^11 - 621*T1^9*T2^11 - 
      621*T1^10*T2^11 + 2510*T1^11*T2^11 - 248*T1^12*T2^11 - 
      371*T1^13*T2^11 + 755*T1^14*T2^11 - 144*T1^15*T2^11 - 180*T1^16*T2^11 + 
      209*T1^4*T2^12 - 144*T1^5*T2^12 - 549*T1^6*T2^12 + 1080*T1^7*T2^12 - 
      1443*T1^8*T2^12 - 248*T1^9*T2^12 + 389*T1^10*T2^12 - 248*T1^11*T2^12 - 
      1443*T1^12*T2^12 + 1080*T1^13*T2^12 - 549*T1^14*T2^12 - 
      144*T1^15*T2^12 + 209*T1^16*T2^12 - 180*T1^5*T2^13 + 356*T1^6*T2^13 - 
      93*T1^7*T2^13 - 418*T1^8*T2^13 + 1080*T1^9*T2^13 - 371*T1^10*T2^13 - 
      371*T1^11*T2^13 + 1080*T1^12*T2^13 - 418*T1^13*T2^13 - 93*T1^14*T2^13 + 
      356*T1^15*T2^13 - 180*T1^16*T2^13 + 108*T1^6*T2^14 - 316*T1^7*T2^14 + 
      357*T1^8*T2^14 - 93*T1^9*T2^14 - 549*T1^10*T2^14 + 755*T1^11*T2^14 - 
      549*T1^12*T2^14 - 93*T1^13*T2^14 + 357*T1^14*T2^14 - 316*T1^15*T2^14 + 
      108*T1^16*T2^14 - 44*T1^7*T2^15 + 172*T1^8*T2^15 - 316*T1^9*T2^15 + 
      356*T1^10*T2^15 - 144*T1^11*T2^15 - 144*T1^12*T2^15 + 356*T1^13*T2^15 - 
      316*T1^14*T2^15 + 172*T1^15*T2^15 - 44*T1^16*T2^15 + 9*T1^8*T2^16 - 
      44*T1^9*T2^16 + 108*T1^10*T2^16 - 180*T1^11*T2^16 + 209*T1^12*T2^16 - 
      180*T1^13*T2^16 + 108*T1^14*T2^16 - 44*T1^15*T2^16 + 9*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 853] -> 
  {-(((1 - T + T^2)*(4 - 15*T + 21*T^2 - 15*T^3 + 4*T^4))/T^3), 
   -((16 - 72*T1 + 152*T1^2 - 200*T1^3 + 152*T1^4 - 72*T1^5 + 16*T1^6 - 
      72*T2 + 252*T1*T2 - 361*T1^2*T2 + 217*T1^3*T2 + 217*T1^4*T2 - 
      361*T1^5*T2 + 252*T1^6*T2 - 72*T1^7*T2 + 152*T2^2 - 361*T1*T2^2 + 
      205*T1^2*T2^2 + 246*T1^3*T2^2 - 815*T1^4*T2^2 + 246*T1^5*T2^2 + 
      205*T1^6*T2^2 - 361*T1^7*T2^2 + 152*T1^8*T2^2 - 200*T2^3 + 
      217*T1*T2^3 + 246*T1^2*T2^3 - 366*T1^3*T2^3 + 620*T1^4*T2^3 + 
      620*T1^5*T2^3 - 366*T1^6*T2^3 + 246*T1^7*T2^3 + 217*T1^8*T2^3 - 
      200*T1^9*T2^3 + 152*T2^4 + 217*T1*T2^4 - 815*T1^2*T2^4 + 
      620*T1^3*T2^4 - 1695*T1^4*T2^4 + 729*T1^5*T2^4 - 1695*T1^6*T2^4 + 
      620*T1^7*T2^4 - 815*T1^8*T2^4 + 217*T1^9*T2^4 + 152*T1^10*T2^4 - 
      72*T2^5 - 361*T1*T2^5 + 246*T1^2*T2^5 + 620*T1^3*T2^5 + 729*T1^4*T2^5 + 
      704*T1^5*T2^5 + 704*T1^6*T2^5 + 729*T1^7*T2^5 + 620*T1^8*T2^5 + 
      246*T1^9*T2^5 - 361*T1^10*T2^5 - 72*T1^11*T2^5 + 16*T2^6 + 
      252*T1*T2^6 + 205*T1^2*T2^6 - 366*T1^3*T2^6 - 1695*T1^4*T2^6 + 
      704*T1^5*T2^6 - 2604*T1^6*T2^6 + 704*T1^7*T2^6 - 1695*T1^8*T2^6 - 
      366*T1^9*T2^6 + 205*T1^10*T2^6 + 252*T1^11*T2^6 + 16*T1^12*T2^6 - 
      72*T1*T2^7 - 361*T1^2*T2^7 + 246*T1^3*T2^7 + 620*T1^4*T2^7 + 
      729*T1^5*T2^7 + 704*T1^6*T2^7 + 704*T1^7*T2^7 + 729*T1^8*T2^7 + 
      620*T1^9*T2^7 + 246*T1^10*T2^7 - 361*T1^11*T2^7 - 72*T1^12*T2^7 + 
      152*T1^2*T2^8 + 217*T1^3*T2^8 - 815*T1^4*T2^8 + 620*T1^5*T2^8 - 
      1695*T1^6*T2^8 + 729*T1^7*T2^8 - 1695*T1^8*T2^8 + 620*T1^9*T2^8 - 
      815*T1^10*T2^8 + 217*T1^11*T2^8 + 152*T1^12*T2^8 - 200*T1^3*T2^9 + 
      217*T1^4*T2^9 + 246*T1^5*T2^9 - 366*T1^6*T2^9 + 620*T1^7*T2^9 + 
      620*T1^8*T2^9 - 366*T1^9*T2^9 + 246*T1^10*T2^9 + 217*T1^11*T2^9 - 
      200*T1^12*T2^9 + 152*T1^4*T2^10 - 361*T1^5*T2^10 + 205*T1^6*T2^10 + 
      246*T1^7*T2^10 - 815*T1^8*T2^10 + 246*T1^9*T2^10 + 205*T1^10*T2^10 - 
      361*T1^11*T2^10 + 152*T1^12*T2^10 - 72*T1^5*T2^11 + 252*T1^6*T2^11 - 
      361*T1^7*T2^11 + 217*T1^8*T2^11 + 217*T1^9*T2^11 - 361*T1^10*T2^11 + 
      252*T1^11*T2^11 - 72*T1^12*T2^11 + 16*T1^6*T2^12 - 72*T1^7*T2^12 + 
      152*T1^8*T2^12 - 200*T1^9*T2^12 + 152*T1^10*T2^12 - 72*T1^11*T2^12 + 
      16*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 854] -> 
  {-((3 - 14*T + 30*T^2 - 39*T^3 + 30*T^4 - 14*T^5 + 3*T^6)/T^3), 
   -((9 - 40*T1 + 84*T1^2 - 111*T1^3 + 84*T1^4 - 40*T1^5 + 9*T1^6 - 40*T2 + 
      138*T1*T2 - 196*T1^2*T2 + 120*T1^3*T2 + 120*T1^4*T2 - 196*T1^5*T2 + 
      138*T1^6*T2 - 40*T1^7*T2 + 84*T2^2 - 196*T1*T2^2 + 101*T1^2*T2^2 + 
      162*T1^3*T2^2 - 497*T1^4*T2^2 + 162*T1^5*T2^2 + 101*T1^6*T2^2 - 
      196*T1^7*T2^2 + 84*T1^8*T2^2 - 111*T2^3 + 120*T1*T2^3 + 162*T1^2*T2^3 - 
      308*T1^3*T2^3 + 431*T1^4*T2^3 + 431*T1^5*T2^3 - 308*T1^6*T2^3 + 
      162*T1^7*T2^3 + 120*T1^8*T2^3 - 111*T1^9*T2^3 + 84*T2^4 + 120*T1*T2^4 - 
      497*T1^2*T2^4 + 431*T1^3*T2^4 - 603*T1^4*T2^4 - 349*T1^5*T2^4 - 
      603*T1^6*T2^4 + 431*T1^7*T2^4 - 497*T1^8*T2^4 + 120*T1^9*T2^4 + 
      84*T1^10*T2^4 - 40*T2^5 - 196*T1*T2^5 + 162*T1^2*T2^5 + 431*T1^3*T2^5 - 
      349*T1^4*T2^5 + 1006*T1^5*T2^5 + 1006*T1^6*T2^5 - 349*T1^7*T2^5 + 
      431*T1^8*T2^5 + 162*T1^9*T2^5 - 196*T1^10*T2^5 - 40*T1^11*T2^5 + 
      9*T2^6 + 138*T1*T2^6 + 101*T1^2*T2^6 - 308*T1^3*T2^6 - 603*T1^4*T2^6 + 
      1006*T1^5*T2^6 - 3048*T1^6*T2^6 + 1006*T1^7*T2^6 - 603*T1^8*T2^6 - 
      308*T1^9*T2^6 + 101*T1^10*T2^6 + 138*T1^11*T2^6 + 9*T1^12*T2^6 - 
      40*T1*T2^7 - 196*T1^2*T2^7 + 162*T1^3*T2^7 + 431*T1^4*T2^7 - 
      349*T1^5*T2^7 + 1006*T1^6*T2^7 + 1006*T1^7*T2^7 - 349*T1^8*T2^7 + 
      431*T1^9*T2^7 + 162*T1^10*T2^7 - 196*T1^11*T2^7 - 40*T1^12*T2^7 + 
      84*T1^2*T2^8 + 120*T1^3*T2^8 - 497*T1^4*T2^8 + 431*T1^5*T2^8 - 
      603*T1^6*T2^8 - 349*T1^7*T2^8 - 603*T1^8*T2^8 + 431*T1^9*T2^8 - 
      497*T1^10*T2^8 + 120*T1^11*T2^8 + 84*T1^12*T2^8 - 111*T1^3*T2^9 + 
      120*T1^4*T2^9 + 162*T1^5*T2^9 - 308*T1^6*T2^9 + 431*T1^7*T2^9 + 
      431*T1^8*T2^9 - 308*T1^9*T2^9 + 162*T1^10*T2^9 + 120*T1^11*T2^9 - 
      111*T1^12*T2^9 + 84*T1^4*T2^10 - 196*T1^5*T2^10 + 101*T1^6*T2^10 + 
      162*T1^7*T2^10 - 497*T1^8*T2^10 + 162*T1^9*T2^10 + 101*T1^10*T2^10 - 
      196*T1^11*T2^10 + 84*T1^12*T2^10 - 40*T1^5*T2^11 + 138*T1^6*T2^11 - 
      196*T1^7*T2^11 + 120*T1^8*T2^11 + 120*T1^9*T2^11 - 196*T1^10*T2^11 + 
      138*T1^11*T2^11 - 40*T1^12*T2^11 + 9*T1^6*T2^12 - 40*T1^7*T2^12 + 
      84*T1^8*T2^12 - 111*T1^9*T2^12 + 84*T1^10*T2^12 - 40*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, 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), -((7 - 36*T1 + 84*T1^2 - 120*T1^3 + 127*T1^4 - 120*T1^5 + 
      84*T1^6 - 36*T1^7 + 7*T1^8 - 36*T2 + 148*T1*T2 - 245*T1^2*T2 + 
      185*T1^3*T2 - 36*T1^4*T2 - 36*T1^5*T2 + 185*T1^6*T2 - 245*T1^7*T2 + 
      148*T1^8*T2 - 36*T1^9*T2 + 84*T2^2 - 245*T1*T2^2 + 141*T1^2*T2^2 + 
      358*T1^3*T2^2 - 702*T1^4*T2^2 + 575*T1^5*T2^2 - 702*T1^6*T2^2 + 
      358*T1^7*T2^2 + 141*T1^8*T2^2 - 245*T1^9*T2^2 + 84*T1^10*T2^2 - 
      120*T2^3 + 185*T1*T2^3 + 358*T1^2*T2^3 - 1124*T1^3*T2^3 + 
      907*T1^4*T2^3 + 13*T1^5*T2^3 + 13*T1^6*T2^3 + 907*T1^7*T2^3 - 
      1124*T1^8*T2^3 + 358*T1^9*T2^3 + 185*T1^10*T2^3 - 120*T1^11*T2^3 + 
      127*T2^4 - 36*T1*T2^4 - 702*T1^2*T2^4 + 907*T1^3*T2^4 + 502*T1^4*T2^4 - 
      1745*T1^5*T2^4 + 1052*T1^6*T2^4 - 1745*T1^7*T2^4 + 502*T1^8*T2^4 + 
      907*T1^9*T2^4 - 702*T1^10*T2^4 - 36*T1^11*T2^4 + 127*T1^12*T2^4 - 
      120*T2^5 - 36*T1*T2^5 + 575*T1^2*T2^5 + 13*T1^3*T2^5 - 1745*T1^4*T2^5 + 
      1846*T1^5*T2^5 + 44*T1^6*T2^5 + 44*T1^7*T2^5 + 1846*T1^8*T2^5 - 
      1745*T1^9*T2^5 + 13*T1^10*T2^5 + 575*T1^11*T2^5 - 36*T1^12*T2^5 - 
      120*T1^13*T2^5 + 84*T2^6 + 185*T1*T2^6 - 702*T1^2*T2^6 + 13*T1^3*T2^6 + 
      1052*T1^4*T2^6 + 44*T1^5*T2^6 - 2112*T1^6*T2^6 + 1690*T1^7*T2^6 - 
      2112*T1^8*T2^6 + 44*T1^9*T2^6 + 1052*T1^10*T2^6 + 13*T1^11*T2^6 - 
      702*T1^12*T2^6 + 185*T1^13*T2^6 + 84*T1^14*T2^6 - 36*T2^7 - 
      245*T1*T2^7 + 358*T1^2*T2^7 + 907*T1^3*T2^7 - 1745*T1^4*T2^7 + 
      44*T1^5*T2^7 + 1690*T1^6*T2^7 - 474*T1^7*T2^7 - 474*T1^8*T2^7 + 
      1690*T1^9*T2^7 + 44*T1^10*T2^7 - 1745*T1^11*T2^7 + 907*T1^12*T2^7 + 
      358*T1^13*T2^7 - 245*T1^14*T2^7 - 36*T1^15*T2^7 + 7*T2^8 + 
      148*T1*T2^8 + 141*T1^2*T2^8 - 1124*T1^3*T2^8 + 502*T1^4*T2^8 + 
      1846*T1^5*T2^8 - 2112*T1^6*T2^8 - 474*T1^7*T2^8 + 1248*T1^8*T2^8 - 
      474*T1^9*T2^8 - 2112*T1^10*T2^8 + 1846*T1^11*T2^8 + 502*T1^12*T2^8 - 
      1124*T1^13*T2^8 + 141*T1^14*T2^8 + 148*T1^15*T2^8 + 7*T1^16*T2^8 - 
      36*T1*T2^9 - 245*T1^2*T2^9 + 358*T1^3*T2^9 + 907*T1^4*T2^9 - 
      1745*T1^5*T2^9 + 44*T1^6*T2^9 + 1690*T1^7*T2^9 - 474*T1^8*T2^9 - 
      474*T1^9*T2^9 + 1690*T1^10*T2^9 + 44*T1^11*T2^9 - 1745*T1^12*T2^9 + 
      907*T1^13*T2^9 + 358*T1^14*T2^9 - 245*T1^15*T2^9 - 36*T1^16*T2^9 + 
      84*T1^2*T2^10 + 185*T1^3*T2^10 - 702*T1^4*T2^10 + 13*T1^5*T2^10 + 
      1052*T1^6*T2^10 + 44*T1^7*T2^10 - 2112*T1^8*T2^10 + 1690*T1^9*T2^10 - 
      2112*T1^10*T2^10 + 44*T1^11*T2^10 + 1052*T1^12*T2^10 + 13*T1^13*T2^10 - 
      702*T1^14*T2^10 + 185*T1^15*T2^10 + 84*T1^16*T2^10 - 120*T1^3*T2^11 - 
      36*T1^4*T2^11 + 575*T1^5*T2^11 + 13*T1^6*T2^11 - 1745*T1^7*T2^11 + 
      1846*T1^8*T2^11 + 44*T1^9*T2^11 + 44*T1^10*T2^11 + 1846*T1^11*T2^11 - 
      1745*T1^12*T2^11 + 13*T1^13*T2^11 + 575*T1^14*T2^11 - 36*T1^15*T2^11 - 
      120*T1^16*T2^11 + 127*T1^4*T2^12 - 36*T1^5*T2^12 - 702*T1^6*T2^12 + 
      907*T1^7*T2^12 + 502*T1^8*T2^12 - 1745*T1^9*T2^12 + 1052*T1^10*T2^12 - 
      1745*T1^11*T2^12 + 502*T1^12*T2^12 + 907*T1^13*T2^12 - 
      702*T1^14*T2^12 - 36*T1^15*T2^12 + 127*T1^16*T2^12 - 120*T1^5*T2^13 + 
      185*T1^6*T2^13 + 358*T1^7*T2^13 - 1124*T1^8*T2^13 + 907*T1^9*T2^13 + 
      13*T1^10*T2^13 + 13*T1^11*T2^13 + 907*T1^12*T2^13 - 1124*T1^13*T2^13 + 
      358*T1^14*T2^13 + 185*T1^15*T2^13 - 120*T1^16*T2^13 + 84*T1^6*T2^14 - 
      245*T1^7*T2^14 + 141*T1^8*T2^14 + 358*T1^9*T2^14 - 702*T1^10*T2^14 + 
      575*T1^11*T2^14 - 702*T1^12*T2^14 + 358*T1^13*T2^14 + 141*T1^14*T2^14 - 
      245*T1^15*T2^14 + 84*T1^16*T2^14 - 36*T1^7*T2^15 + 148*T1^8*T2^15 - 
      245*T1^9*T2^15 + 185*T1^10*T2^15 - 36*T1^11*T2^15 - 36*T1^12*T2^15 + 
      185*T1^13*T2^15 - 245*T1^14*T2^15 + 148*T1^15*T2^15 - 36*T1^16*T2^15 + 
      7*T1^8*T2^16 - 36*T1^9*T2^16 + 84*T1^10*T2^16 - 120*T1^11*T2^16 + 
      127*T1^12*T2^16 - 120*T1^13*T2^16 + 84*T1^14*T2^16 - 36*T1^15*T2^16 + 
      7*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 856] -> 
  {-((4 - 22*T + 54*T^2 - 73*T^3 + 54*T^4 - 22*T^5 + 4*T^6)/T^3), 
   (4*T1 - 16*T1^2 + 24*T1^3 - 16*T1^4 + 4*T1^5 + 4*T2 - 34*T1*T2 + 
     88*T1^2*T2 - 60*T1^3*T2 - 60*T1^4*T2 + 88*T1^5*T2 - 34*T1^6*T2 + 
     4*T1^7*T2 - 16*T2^2 + 88*T1*T2^2 - 129*T1^2*T2^2 - 159*T1^3*T2^2 + 
     447*T1^4*T2^2 - 159*T1^5*T2^2 - 129*T1^6*T2^2 + 88*T1^7*T2^2 - 
     16*T1^8*T2^2 + 24*T2^3 - 60*T1*T2^3 - 159*T1^2*T2^3 + 818*T1^3*T2^3 - 
     616*T1^4*T2^3 - 616*T1^5*T2^3 + 818*T1^6*T2^3 - 159*T1^7*T2^3 - 
     60*T1^8*T2^3 + 24*T1^9*T2^3 - 16*T2^4 - 60*T1*T2^4 + 447*T1^2*T2^4 - 
     616*T1^3*T2^4 - 1069*T1^4*T2^4 + 2447*T1^5*T2^4 - 1069*T1^6*T2^4 - 
     616*T1^7*T2^4 + 447*T1^8*T2^4 - 60*T1^9*T2^4 - 16*T1^10*T2^4 + 4*T2^5 + 
     88*T1*T2^5 - 159*T1^2*T2^5 - 616*T1^3*T2^5 + 2447*T1^4*T2^5 - 
     1536*T1^5*T2^5 - 1536*T1^6*T2^5 + 2447*T1^7*T2^5 - 616*T1^8*T2^5 - 
     159*T1^9*T2^5 + 88*T1^10*T2^5 + 4*T1^11*T2^5 - 34*T1*T2^6 - 
     129*T1^2*T2^6 + 818*T1^3*T2^6 - 1069*T1^4*T2^6 - 1536*T1^5*T2^6 + 
     3300*T1^6*T2^6 - 1536*T1^7*T2^6 - 1069*T1^8*T2^6 + 818*T1^9*T2^6 - 
     129*T1^10*T2^6 - 34*T1^11*T2^6 + 4*T1*T2^7 + 88*T1^2*T2^7 - 
     159*T1^3*T2^7 - 616*T1^4*T2^7 + 2447*T1^5*T2^7 - 1536*T1^6*T2^7 - 
     1536*T1^7*T2^7 + 2447*T1^8*T2^7 - 616*T1^9*T2^7 - 159*T1^10*T2^7 + 
     88*T1^11*T2^7 + 4*T1^12*T2^7 - 16*T1^2*T2^8 - 60*T1^3*T2^8 + 
     447*T1^4*T2^8 - 616*T1^5*T2^8 - 1069*T1^6*T2^8 + 2447*T1^7*T2^8 - 
     1069*T1^8*T2^8 - 616*T1^9*T2^8 + 447*T1^10*T2^8 - 60*T1^11*T2^8 - 
     16*T1^12*T2^8 + 24*T1^3*T2^9 - 60*T1^4*T2^9 - 159*T1^5*T2^9 + 
     818*T1^6*T2^9 - 616*T1^7*T2^9 - 616*T1^8*T2^9 + 818*T1^9*T2^9 - 
     159*T1^10*T2^9 - 60*T1^11*T2^9 + 24*T1^12*T2^9 - 16*T1^4*T2^10 + 
     88*T1^5*T2^10 - 129*T1^6*T2^10 - 159*T1^7*T2^10 + 447*T1^8*T2^10 - 
     159*T1^9*T2^10 - 129*T1^10*T2^10 + 88*T1^11*T2^10 - 16*T1^12*T2^10 + 
     4*T1^5*T2^11 - 34*T1^6*T2^11 + 88*T1^7*T2^11 - 60*T1^8*T2^11 - 
     60*T1^9*T2^11 + 88*T1^10*T2^11 - 34*T1^11*T2^11 + 4*T1^12*T2^11 + 
     4*T1^7*T2^12 - 16*T1^8*T2^12 + 24*T1^9*T2^12 - 16*T1^10*T2^12 + 
     4*T1^11*T2^12)/(T1^6*T2^6)}, 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), (9 - 48*T1 + 123*T1^2 - 204*T1^3 + 235*T1^4 - 204*T1^5 + 
     123*T1^6 - 48*T1^7 + 9*T1^8 - 48*T2 + 210*T1*T2 - 407*T1^2*T2 + 
     442*T1^3*T2 - 171*T1^4*T2 - 171*T1^5*T2 + 442*T1^6*T2 - 407*T1^7*T2 + 
     210*T1^8*T2 - 48*T1^9*T2 + 123*T2^2 - 407*T1*T2^2 + 452*T1^2*T2^2 + 
     68*T1^3*T2^2 - 998*T1^4*T2^2 + 1252*T1^5*T2^2 - 998*T1^6*T2^2 + 
     68*T1^7*T2^2 + 452*T1^8*T2^2 - 407*T1^9*T2^2 + 123*T1^10*T2^2 - 
     204*T2^3 + 442*T1*T2^3 + 68*T1^2*T2^3 - 1182*T1^3*T2^3 + 
     1976*T1^4*T2^3 - 629*T1^5*T2^3 - 629*T1^6*T2^3 + 1976*T1^7*T2^3 - 
     1182*T1^8*T2^3 + 68*T1^9*T2^3 + 442*T1^10*T2^3 - 204*T1^11*T2^3 + 
     235*T2^4 - 171*T1*T2^4 - 998*T1^2*T2^4 + 1976*T1^3*T2^4 - 
     1502*T1^4*T2^4 - 1708*T1^5*T2^4 + 1960*T1^6*T2^4 - 1708*T1^7*T2^4 - 
     1502*T1^8*T2^4 + 1976*T1^9*T2^4 - 998*T1^10*T2^4 - 171*T1^11*T2^4 + 
     235*T1^12*T2^4 - 204*T2^5 - 171*T1*T2^5 + 1252*T1^2*T2^5 - 
     629*T1^3*T2^5 - 1708*T1^4*T2^5 + 4984*T1^5*T2^5 - 1220*T1^6*T2^5 - 
     1220*T1^7*T2^5 + 4984*T1^8*T2^5 - 1708*T1^9*T2^5 - 629*T1^10*T2^5 + 
     1252*T1^11*T2^5 - 171*T1^12*T2^5 - 204*T1^13*T2^5 + 123*T2^6 + 
     442*T1*T2^6 - 998*T1^2*T2^6 - 629*T1^3*T2^6 + 1960*T1^4*T2^6 - 
     1220*T1^5*T2^6 - 7147*T1^6*T2^6 + 7773*T1^7*T2^6 - 7147*T1^8*T2^6 - 
     1220*T1^9*T2^6 + 1960*T1^10*T2^6 - 629*T1^11*T2^6 - 998*T1^12*T2^6 + 
     442*T1^13*T2^6 + 123*T1^14*T2^6 - 48*T2^7 - 407*T1*T2^7 + 68*T1^2*T2^7 + 
     1976*T1^3*T2^7 - 1708*T1^4*T2^7 - 1220*T1^5*T2^7 + 7773*T1^6*T2^7 - 
     1826*T1^7*T2^7 - 1826*T1^8*T2^7 + 7773*T1^9*T2^7 - 1220*T1^10*T2^7 - 
     1708*T1^11*T2^7 + 1976*T1^12*T2^7 + 68*T1^13*T2^7 - 407*T1^14*T2^7 - 
     48*T1^15*T2^7 + 9*T2^8 + 210*T1*T2^8 + 452*T1^2*T2^8 - 1182*T1^3*T2^8 - 
     1502*T1^4*T2^8 + 4984*T1^5*T2^8 - 7147*T1^6*T2^8 - 1826*T1^7*T2^8 + 
     2004*T1^8*T2^8 - 1826*T1^9*T2^8 - 7147*T1^10*T2^8 + 4984*T1^11*T2^8 - 
     1502*T1^12*T2^8 - 1182*T1^13*T2^8 + 452*T1^14*T2^8 + 210*T1^15*T2^8 + 
     9*T1^16*T2^8 - 48*T1*T2^9 - 407*T1^2*T2^9 + 68*T1^3*T2^9 + 
     1976*T1^4*T2^9 - 1708*T1^5*T2^9 - 1220*T1^6*T2^9 + 7773*T1^7*T2^9 - 
     1826*T1^8*T2^9 - 1826*T1^9*T2^9 + 7773*T1^10*T2^9 - 1220*T1^11*T2^9 - 
     1708*T1^12*T2^9 + 1976*T1^13*T2^9 + 68*T1^14*T2^9 - 407*T1^15*T2^9 - 
     48*T1^16*T2^9 + 123*T1^2*T2^10 + 442*T1^3*T2^10 - 998*T1^4*T2^10 - 
     629*T1^5*T2^10 + 1960*T1^6*T2^10 - 1220*T1^7*T2^10 - 7147*T1^8*T2^10 + 
     7773*T1^9*T2^10 - 7147*T1^10*T2^10 - 1220*T1^11*T2^10 + 
     1960*T1^12*T2^10 - 629*T1^13*T2^10 - 998*T1^14*T2^10 + 442*T1^15*T2^10 + 
     123*T1^16*T2^10 - 204*T1^3*T2^11 - 171*T1^4*T2^11 + 1252*T1^5*T2^11 - 
     629*T1^6*T2^11 - 1708*T1^7*T2^11 + 4984*T1^8*T2^11 - 1220*T1^9*T2^11 - 
     1220*T1^10*T2^11 + 4984*T1^11*T2^11 - 1708*T1^12*T2^11 - 
     629*T1^13*T2^11 + 1252*T1^14*T2^11 - 171*T1^15*T2^11 - 204*T1^16*T2^11 + 
     235*T1^4*T2^12 - 171*T1^5*T2^12 - 998*T1^6*T2^12 + 1976*T1^7*T2^12 - 
     1502*T1^8*T2^12 - 1708*T1^9*T2^12 + 1960*T1^10*T2^12 - 
     1708*T1^11*T2^12 - 1502*T1^12*T2^12 + 1976*T1^13*T2^12 - 
     998*T1^14*T2^12 - 171*T1^15*T2^12 + 235*T1^16*T2^12 - 204*T1^5*T2^13 + 
     442*T1^6*T2^13 + 68*T1^7*T2^13 - 1182*T1^8*T2^13 + 1976*T1^9*T2^13 - 
     629*T1^10*T2^13 - 629*T1^11*T2^13 + 1976*T1^12*T2^13 - 
     1182*T1^13*T2^13 + 68*T1^14*T2^13 + 442*T1^15*T2^13 - 204*T1^16*T2^13 + 
     123*T1^6*T2^14 - 407*T1^7*T2^14 + 452*T1^8*T2^14 + 68*T1^9*T2^14 - 
     998*T1^10*T2^14 + 1252*T1^11*T2^14 - 998*T1^12*T2^14 + 68*T1^13*T2^14 + 
     452*T1^14*T2^14 - 407*T1^15*T2^14 + 123*T1^16*T2^14 - 48*T1^7*T2^15 + 
     210*T1^8*T2^15 - 407*T1^9*T2^15 + 442*T1^10*T2^15 - 171*T1^11*T2^15 - 
     171*T1^12*T2^15 + 442*T1^13*T2^15 - 407*T1^14*T2^15 + 210*T1^15*T2^15 - 
     48*T1^16*T2^15 + 9*T1^8*T2^16 - 48*T1^9*T2^16 + 123*T1^10*T2^16 - 
     204*T1^11*T2^16 + 235*T1^12*T2^16 - 204*T1^13*T2^16 + 123*T1^14*T2^16 - 
     48*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 858] -> 
  {-((3 - 16*T + 38*T^2 - 51*T^3 + 38*T^4 - 16*T^5 + 3*T^6)/T^3), 
   (9 - 44*T1 + 100*T1^2 - 135*T1^3 + 100*T1^4 - 44*T1^5 + 9*T1^6 - 44*T2 + 
     172*T1*T2 - 273*T1^2*T2 + 169*T1^3*T2 + 169*T1^4*T2 - 273*T1^5*T2 + 
     172*T1^6*T2 - 44*T1^7*T2 + 100*T2^2 - 273*T1*T2^2 + 162*T1^2*T2^2 + 
     333*T1^3*T2^2 - 890*T1^4*T2^2 + 333*T1^5*T2^2 + 162*T1^6*T2^2 - 
     273*T1^7*T2^2 + 100*T1^8*T2^2 - 135*T2^3 + 169*T1*T2^3 + 333*T1^2*T2^3 - 
     856*T1^3*T2^3 + 916*T1^4*T2^3 + 916*T1^5*T2^3 - 856*T1^6*T2^3 + 
     333*T1^7*T2^3 + 169*T1^8*T2^3 - 135*T1^9*T2^3 + 100*T2^4 + 169*T1*T2^4 - 
     890*T1^2*T2^4 + 916*T1^3*T2^4 - 309*T1^4*T2^4 - 2039*T1^5*T2^4 - 
     309*T1^6*T2^4 + 916*T1^7*T2^4 - 890*T1^8*T2^4 + 169*T1^9*T2^4 + 
     100*T1^10*T2^4 - 44*T2^5 - 273*T1*T2^5 + 333*T1^2*T2^5 + 916*T1^3*T2^5 - 
     2039*T1^4*T2^5 + 2856*T1^5*T2^5 + 2856*T1^6*T2^5 - 2039*T1^7*T2^5 + 
     916*T1^8*T2^5 + 333*T1^9*T2^5 - 273*T1^10*T2^5 - 44*T1^11*T2^5 + 
     9*T2^6 + 172*T1*T2^6 + 162*T1^2*T2^6 - 856*T1^3*T2^6 - 309*T1^4*T2^6 + 
     2856*T1^5*T2^6 - 8232*T1^6*T2^6 + 2856*T1^7*T2^6 - 309*T1^8*T2^6 - 
     856*T1^9*T2^6 + 162*T1^10*T2^6 + 172*T1^11*T2^6 + 9*T1^12*T2^6 - 
     44*T1*T2^7 - 273*T1^2*T2^7 + 333*T1^3*T2^7 + 916*T1^4*T2^7 - 
     2039*T1^5*T2^7 + 2856*T1^6*T2^7 + 2856*T1^7*T2^7 - 2039*T1^8*T2^7 + 
     916*T1^9*T2^7 + 333*T1^10*T2^7 - 273*T1^11*T2^7 - 44*T1^12*T2^7 + 
     100*T1^2*T2^8 + 169*T1^3*T2^8 - 890*T1^4*T2^8 + 916*T1^5*T2^8 - 
     309*T1^6*T2^8 - 2039*T1^7*T2^8 - 309*T1^8*T2^8 + 916*T1^9*T2^8 - 
     890*T1^10*T2^8 + 169*T1^11*T2^8 + 100*T1^12*T2^8 - 135*T1^3*T2^9 + 
     169*T1^4*T2^9 + 333*T1^5*T2^9 - 856*T1^6*T2^9 + 916*T1^7*T2^9 + 
     916*T1^8*T2^9 - 856*T1^9*T2^9 + 333*T1^10*T2^9 + 169*T1^11*T2^9 - 
     135*T1^12*T2^9 + 100*T1^4*T2^10 - 273*T1^5*T2^10 + 162*T1^6*T2^10 + 
     333*T1^7*T2^10 - 890*T1^8*T2^10 + 333*T1^9*T2^10 + 162*T1^10*T2^10 - 
     273*T1^11*T2^10 + 100*T1^12*T2^10 - 44*T1^5*T2^11 + 172*T1^6*T2^11 - 
     273*T1^7*T2^11 + 169*T1^8*T2^11 + 169*T1^9*T2^11 - 273*T1^10*T2^11 + 
     172*T1^11*T2^11 - 44*T1^12*T2^11 + 9*T1^6*T2^12 - 44*T1^7*T2^12 + 
     100*T1^8*T2^12 - 135*T1^9*T2^12 + 100*T1^10*T2^12 - 44*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, 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, -((3 - 12*T1 + 24*T1^2 - 30*T1^3 + 33*T1^4 - 
      33*T1^5 + 33*T1^6 - 30*T1^7 + 24*T1^8 - 12*T1^9 + 3*T1^10 - 12*T2 + 
      36*T1*T2 - 48*T1^2*T2 + 24*T1^3*T2 - 12*T1^4*T2 - 12*T1^7*T2 + 
      24*T1^8*T2 - 48*T1^9*T2 + 36*T1^10*T2 - 12*T1^11*T2 + 24*T2^2 - 
      48*T1*T2^2 + 22*T1^2*T2^2 + 55*T1^3*T2^2 - 37*T1^4*T2^2 + 
      39*T1^5*T2^2 - 16*T1^6*T2^2 + 39*T1^7*T2^2 - 37*T1^8*T2^2 + 
      55*T1^9*T2^2 + 22*T1^10*T2^2 - 48*T1^11*T2^2 + 24*T1^12*T2^2 - 
      30*T2^3 + 24*T1*T2^3 + 55*T1^2*T2^3 - 130*T1^3*T2^3 + 2*T1^4*T2^3 - 
      13*T1^5*T2^3 - 26*T1^6*T2^3 - 26*T1^7*T2^3 - 13*T1^8*T2^3 + 
      2*T1^9*T2^3 - 130*T1^10*T2^3 + 55*T1^11*T2^3 + 24*T1^12*T2^3 - 
      30*T1^13*T2^3 + 33*T2^4 - 12*T1*T2^4 - 37*T1^2*T2^4 + 2*T1^3*T2^4 + 
      237*T1^4*T2^4 - 147*T1^5*T2^4 + 208*T1^6*T2^4 - 129*T1^7*T2^4 + 
      208*T1^8*T2^4 - 147*T1^9*T2^4 + 237*T1^10*T2^4 + 2*T1^11*T2^4 - 
      37*T1^12*T2^4 - 12*T1^13*T2^4 + 33*T1^14*T2^4 - 33*T2^5 + 
      39*T1^2*T2^5 - 13*T1^3*T2^5 - 147*T1^4*T2^5 - 78*T1^5*T2^5 - 
      43*T1^6*T2^5 - 57*T1^7*T2^5 - 57*T1^8*T2^5 - 43*T1^9*T2^5 - 
      78*T1^10*T2^5 - 147*T1^11*T2^5 - 13*T1^12*T2^5 + 39*T1^13*T2^5 - 
      33*T1^15*T2^5 + 33*T2^6 - 16*T1^2*T2^6 - 26*T1^3*T2^6 + 208*T1^4*T2^6 - 
      43*T1^5*T2^6 + 296*T1^6*T2^6 - 162*T1^7*T2^6 + 292*T1^8*T2^6 - 
      162*T1^9*T2^6 + 296*T1^10*T2^6 - 43*T1^11*T2^6 + 208*T1^12*T2^6 - 
      26*T1^13*T2^6 - 16*T1^14*T2^6 + 33*T1^16*T2^6 - 30*T2^7 - 12*T1*T2^7 + 
      39*T1^2*T2^7 - 26*T1^3*T2^7 - 129*T1^4*T2^7 - 57*T1^5*T2^7 - 
      162*T1^6*T2^7 - 74*T1^7*T2^7 - 67*T1^8*T2^7 - 67*T1^9*T2^7 - 
      74*T1^10*T2^7 - 162*T1^11*T2^7 - 57*T1^12*T2^7 - 129*T1^13*T2^7 - 
      26*T1^14*T2^7 + 39*T1^15*T2^7 - 12*T1^16*T2^7 - 30*T1^17*T2^7 + 
      24*T2^8 + 24*T1*T2^8 - 37*T1^2*T2^8 - 13*T1^3*T2^8 + 208*T1^4*T2^8 - 
      57*T1^5*T2^8 + 292*T1^6*T2^8 - 67*T1^7*T2^8 + 268*T1^8*T2^8 - 
      140*T1^9*T2^8 + 268*T1^10*T2^8 - 67*T1^11*T2^8 + 292*T1^12*T2^8 - 
      57*T1^13*T2^8 + 208*T1^14*T2^8 - 13*T1^15*T2^8 - 37*T1^16*T2^8 + 
      24*T1^17*T2^8 + 24*T1^18*T2^8 - 12*T2^9 - 48*T1*T2^9 + 55*T1^2*T2^9 + 
      2*T1^3*T2^9 - 147*T1^4*T2^9 - 43*T1^5*T2^9 - 162*T1^6*T2^9 - 
      67*T1^7*T2^9 - 140*T1^8*T2^9 - 38*T1^9*T2^9 - 38*T1^10*T2^9 - 
      140*T1^11*T2^9 - 67*T1^12*T2^9 - 162*T1^13*T2^9 - 43*T1^14*T2^9 - 
      147*T1^15*T2^9 + 2*T1^16*T2^9 + 55*T1^17*T2^9 - 48*T1^18*T2^9 - 
      12*T1^19*T2^9 + 3*T2^10 + 36*T1*T2^10 + 22*T1^2*T2^10 - 
      130*T1^3*T2^10 + 237*T1^4*T2^10 - 78*T1^5*T2^10 + 296*T1^6*T2^10 - 
      74*T1^7*T2^10 + 268*T1^8*T2^10 - 38*T1^9*T2^10 + 132*T1^10*T2^10 - 
      38*T1^11*T2^10 + 268*T1^12*T2^10 - 74*T1^13*T2^10 + 296*T1^14*T2^10 - 
      78*T1^15*T2^10 + 237*T1^16*T2^10 - 130*T1^17*T2^10 + 22*T1^18*T2^10 + 
      36*T1^19*T2^10 + 3*T1^20*T2^10 - 12*T1*T2^11 - 48*T1^2*T2^11 + 
      55*T1^3*T2^11 + 2*T1^4*T2^11 - 147*T1^5*T2^11 - 43*T1^6*T2^11 - 
      162*T1^7*T2^11 - 67*T1^8*T2^11 - 140*T1^9*T2^11 - 38*T1^10*T2^11 - 
      38*T1^11*T2^11 - 140*T1^12*T2^11 - 67*T1^13*T2^11 - 162*T1^14*T2^11 - 
      43*T1^15*T2^11 - 147*T1^16*T2^11 + 2*T1^17*T2^11 + 55*T1^18*T2^11 - 
      48*T1^19*T2^11 - 12*T1^20*T2^11 + 24*T1^2*T2^12 + 24*T1^3*T2^12 - 
      37*T1^4*T2^12 - 13*T1^5*T2^12 + 208*T1^6*T2^12 - 57*T1^7*T2^12 + 
      292*T1^8*T2^12 - 67*T1^9*T2^12 + 268*T1^10*T2^12 - 140*T1^11*T2^12 + 
      268*T1^12*T2^12 - 67*T1^13*T2^12 + 292*T1^14*T2^12 - 57*T1^15*T2^12 + 
      208*T1^16*T2^12 - 13*T1^17*T2^12 - 37*T1^18*T2^12 + 24*T1^19*T2^12 + 
      24*T1^20*T2^12 - 30*T1^3*T2^13 - 12*T1^4*T2^13 + 39*T1^5*T2^13 - 
      26*T1^6*T2^13 - 129*T1^7*T2^13 - 57*T1^8*T2^13 - 162*T1^9*T2^13 - 
      74*T1^10*T2^13 - 67*T1^11*T2^13 - 67*T1^12*T2^13 - 74*T1^13*T2^13 - 
      162*T1^14*T2^13 - 57*T1^15*T2^13 - 129*T1^16*T2^13 - 26*T1^17*T2^13 + 
      39*T1^18*T2^13 - 12*T1^19*T2^13 - 30*T1^20*T2^13 + 33*T1^4*T2^14 - 
      16*T1^6*T2^14 - 26*T1^7*T2^14 + 208*T1^8*T2^14 - 43*T1^9*T2^14 + 
      296*T1^10*T2^14 - 162*T1^11*T2^14 + 292*T1^12*T2^14 - 162*T1^13*T2^14 + 
      296*T1^14*T2^14 - 43*T1^15*T2^14 + 208*T1^16*T2^14 - 26*T1^17*T2^14 - 
      16*T1^18*T2^14 + 33*T1^20*T2^14 - 33*T1^5*T2^15 + 39*T1^7*T2^15 - 
      13*T1^8*T2^15 - 147*T1^9*T2^15 - 78*T1^10*T2^15 - 43*T1^11*T2^15 - 
      57*T1^12*T2^15 - 57*T1^13*T2^15 - 43*T1^14*T2^15 - 78*T1^15*T2^15 - 
      147*T1^16*T2^15 - 13*T1^17*T2^15 + 39*T1^18*T2^15 - 33*T1^20*T2^15 + 
      33*T1^6*T2^16 - 12*T1^7*T2^16 - 37*T1^8*T2^16 + 2*T1^9*T2^16 + 
      237*T1^10*T2^16 - 147*T1^11*T2^16 + 208*T1^12*T2^16 - 129*T1^13*T2^16 + 
      208*T1^14*T2^16 - 147*T1^15*T2^16 + 237*T1^16*T2^16 + 2*T1^17*T2^16 - 
      37*T1^18*T2^16 - 12*T1^19*T2^16 + 33*T1^20*T2^16 - 30*T1^7*T2^17 + 
      24*T1^8*T2^17 + 55*T1^9*T2^17 - 130*T1^10*T2^17 + 2*T1^11*T2^17 - 
      13*T1^12*T2^17 - 26*T1^13*T2^17 - 26*T1^14*T2^17 - 13*T1^15*T2^17 + 
      2*T1^16*T2^17 - 130*T1^17*T2^17 + 55*T1^18*T2^17 + 24*T1^19*T2^17 - 
      30*T1^20*T2^17 + 24*T1^8*T2^18 - 48*T1^9*T2^18 + 22*T1^10*T2^18 + 
      55*T1^11*T2^18 - 37*T1^12*T2^18 + 39*T1^13*T2^18 - 16*T1^14*T2^18 + 
      39*T1^15*T2^18 - 37*T1^16*T2^18 + 55*T1^17*T2^18 + 22*T1^18*T2^18 - 
      48*T1^19*T2^18 + 24*T1^20*T2^18 - 12*T1^9*T2^19 + 36*T1^10*T2^19 - 
      48*T1^11*T2^19 + 24*T1^12*T2^19 - 12*T1^13*T2^19 - 12*T1^16*T2^19 + 
      24*T1^17*T2^19 - 48*T1^18*T2^19 + 36*T1^19*T2^19 - 12*T1^20*T2^19 + 
      3*T1^10*T2^20 - 12*T1^11*T2^20 + 24*T1^12*T2^20 - 30*T1^13*T2^20 + 
      33*T1^14*T2^20 - 33*T1^15*T2^20 + 33*T1^16*T2^20 - 30*T1^17*T2^20 + 
      24*T1^18*T2^20 - 12*T1^19*T2^20 + 3*T1^20*T2^20)/(T1^10*T2^10))}, 
 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, -((17 - 76*T1 + 168*T1^2 - 234*T1^3 + 259*T1^4 - 234*T1^5 + 
      168*T1^6 - 76*T1^7 + 17*T1^8 - 76*T2 + 264*T1*T2 - 412*T1^2*T2 + 
      296*T1^3*T2 - 112*T1^4*T2 - 112*T1^5*T2 + 296*T1^6*T2 - 412*T1^7*T2 + 
      264*T1^8*T2 - 76*T1^9*T2 + 168*T2^2 - 412*T1*T2^2 + 294*T1^2*T2^2 + 
      360*T1^3*T2^2 - 592*T1^4*T2^2 + 710*T1^5*T2^2 - 592*T1^6*T2^2 + 
      360*T1^7*T2^2 + 294*T1^8*T2^2 - 412*T1^9*T2^2 + 168*T1^10*T2^2 - 
      234*T2^3 + 296*T1*T2^3 + 360*T1^2*T2^3 - 1266*T1^3*T2^3 + 
      650*T1^4*T2^3 - 284*T1^5*T2^3 - 284*T1^6*T2^3 + 650*T1^7*T2^3 - 
      1266*T1^8*T2^3 + 360*T1^9*T2^3 + 296*T1^10*T2^3 - 234*T1^11*T2^3 + 
      259*T2^4 - 112*T1*T2^4 - 592*T1^2*T2^4 + 650*T1^3*T2^4 + 
      1398*T1^4*T2^4 - 1637*T1^5*T2^4 + 1994*T1^6*T2^4 - 1637*T1^7*T2^4 + 
      1398*T1^8*T2^4 + 650*T1^9*T2^4 - 592*T1^10*T2^4 - 112*T1^11*T2^4 + 
      259*T1^12*T2^4 - 234*T2^5 - 112*T1*T2^5 + 710*T1^2*T2^5 - 
      284*T1^3*T2^5 - 1637*T1^4*T2^5 + 364*T1^5*T2^5 - 344*T1^6*T2^5 - 
      344*T1^7*T2^5 + 364*T1^8*T2^5 - 1637*T1^9*T2^5 - 284*T1^10*T2^5 + 
      710*T1^11*T2^5 - 112*T1^12*T2^5 - 234*T1^13*T2^5 + 168*T2^6 + 
      296*T1*T2^6 - 592*T1^2*T2^6 - 284*T1^3*T2^6 + 1994*T1^4*T2^6 - 
      344*T1^5*T2^6 + 1286*T1^6*T2^6 - 928*T1^7*T2^6 + 1286*T1^8*T2^6 - 
      344*T1^9*T2^6 + 1994*T1^10*T2^6 - 284*T1^11*T2^6 - 592*T1^12*T2^6 + 
      296*T1^13*T2^6 + 168*T1^14*T2^6 - 76*T2^7 - 412*T1*T2^7 + 
      360*T1^2*T2^7 + 650*T1^3*T2^7 - 1637*T1^4*T2^7 - 344*T1^5*T2^7 - 
      928*T1^6*T2^7 - 28*T1^7*T2^7 - 28*T1^8*T2^7 - 928*T1^9*T2^7 - 
      344*T1^10*T2^7 - 1637*T1^11*T2^7 + 650*T1^12*T2^7 + 360*T1^13*T2^7 - 
      412*T1^14*T2^7 - 76*T1^15*T2^7 + 17*T2^8 + 264*T1*T2^8 + 
      294*T1^2*T2^8 - 1266*T1^3*T2^8 + 1398*T1^4*T2^8 + 364*T1^5*T2^8 + 
      1286*T1^6*T2^8 - 28*T1^7*T2^8 + 420*T1^8*T2^8 - 28*T1^9*T2^8 + 
      1286*T1^10*T2^8 + 364*T1^11*T2^8 + 1398*T1^12*T2^8 - 1266*T1^13*T2^8 + 
      294*T1^14*T2^8 + 264*T1^15*T2^8 + 17*T1^16*T2^8 - 76*T1*T2^9 - 
      412*T1^2*T2^9 + 360*T1^3*T2^9 + 650*T1^4*T2^9 - 1637*T1^5*T2^9 - 
      344*T1^6*T2^9 - 928*T1^7*T2^9 - 28*T1^8*T2^9 - 28*T1^9*T2^9 - 
      928*T1^10*T2^9 - 344*T1^11*T2^9 - 1637*T1^12*T2^9 + 650*T1^13*T2^9 + 
      360*T1^14*T2^9 - 412*T1^15*T2^9 - 76*T1^16*T2^9 + 168*T1^2*T2^10 + 
      296*T1^3*T2^10 - 592*T1^4*T2^10 - 284*T1^5*T2^10 + 1994*T1^6*T2^10 - 
      344*T1^7*T2^10 + 1286*T1^8*T2^10 - 928*T1^9*T2^10 + 1286*T1^10*T2^10 - 
      344*T1^11*T2^10 + 1994*T1^12*T2^10 - 284*T1^13*T2^10 - 
      592*T1^14*T2^10 + 296*T1^15*T2^10 + 168*T1^16*T2^10 - 234*T1^3*T2^11 - 
      112*T1^4*T2^11 + 710*T1^5*T2^11 - 284*T1^6*T2^11 - 1637*T1^7*T2^11 + 
      364*T1^8*T2^11 - 344*T1^9*T2^11 - 344*T1^10*T2^11 + 364*T1^11*T2^11 - 
      1637*T1^12*T2^11 - 284*T1^13*T2^11 + 710*T1^14*T2^11 - 
      112*T1^15*T2^11 - 234*T1^16*T2^11 + 259*T1^4*T2^12 - 112*T1^5*T2^12 - 
      592*T1^6*T2^12 + 650*T1^7*T2^12 + 1398*T1^8*T2^12 - 1637*T1^9*T2^12 + 
      1994*T1^10*T2^12 - 1637*T1^11*T2^12 + 1398*T1^12*T2^12 + 
      650*T1^13*T2^12 - 592*T1^14*T2^12 - 112*T1^15*T2^12 + 259*T1^16*T2^12 - 
      234*T1^5*T2^13 + 296*T1^6*T2^13 + 360*T1^7*T2^13 - 1266*T1^8*T2^13 + 
      650*T1^9*T2^13 - 284*T1^10*T2^13 - 284*T1^11*T2^13 + 650*T1^12*T2^13 - 
      1266*T1^13*T2^13 + 360*T1^14*T2^13 + 296*T1^15*T2^13 - 
      234*T1^16*T2^13 + 168*T1^6*T2^14 - 412*T1^7*T2^14 + 294*T1^8*T2^14 + 
      360*T1^9*T2^14 - 592*T1^10*T2^14 + 710*T1^11*T2^14 - 592*T1^12*T2^14 + 
      360*T1^13*T2^14 + 294*T1^14*T2^14 - 412*T1^15*T2^14 + 168*T1^16*T2^14 - 
      76*T1^7*T2^15 + 264*T1^8*T2^15 - 412*T1^9*T2^15 + 296*T1^10*T2^15 - 
      112*T1^11*T2^15 - 112*T1^12*T2^15 + 296*T1^13*T2^15 - 412*T1^14*T2^15 + 
      264*T1^15*T2^15 - 76*T1^16*T2^15 + 17*T1^8*T2^16 - 76*T1^9*T2^16 + 
      168*T1^10*T2^16 - 234*T1^11*T2^16 + 259*T1^12*T2^16 - 234*T1^13*T2^16 + 
      168*T1^14*T2^16 - 76*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   -((17 - 84*T1 + 208*T1^2 - 330*T1^3 + 387*T1^4 - 330*T1^5 + 208*T1^6 - 
      84*T1^7 + 17*T1^8 - 84*T2 + 332*T1*T2 - 616*T1^2*T2 + 608*T1^3*T2 - 
      284*T1^4*T2 - 284*T1^5*T2 + 608*T1^6*T2 - 616*T1^7*T2 + 332*T1^8*T2 - 
      84*T1^9*T2 + 208*T2^2 - 616*T1*T2^2 + 691*T1^2*T2^2 + 89*T1^3*T2^2 - 
      959*T1^4*T2^2 + 1597*T1^5*T2^2 - 959*T1^6*T2^2 + 89*T1^7*T2^2 + 
      691*T1^8*T2^2 - 616*T1^9*T2^2 + 208*T1^10*T2^2 - 330*T2^3 + 
      608*T1*T2^3 + 89*T1^2*T2^3 - 1692*T1^3*T2^3 + 1902*T1^4*T2^3 - 
      1237*T1^5*T2^3 - 1237*T1^6*T2^3 + 1902*T1^7*T2^3 - 1692*T1^8*T2^3 + 
      89*T1^9*T2^3 + 608*T1^10*T2^3 - 330*T1^11*T2^3 + 387*T2^4 - 
      284*T1*T2^4 - 959*T1^2*T2^4 + 1902*T1^3*T2^4 + 384*T1^4*T2^4 - 
      2340*T1^5*T2^4 + 4850*T1^6*T2^4 - 2340*T1^7*T2^4 + 384*T1^8*T2^4 + 
      1902*T1^9*T2^4 - 959*T1^10*T2^4 - 284*T1^11*T2^4 + 387*T1^12*T2^4 - 
      330*T2^5 - 284*T1*T2^5 + 1597*T1^2*T2^5 - 1237*T1^3*T2^5 - 
      2340*T1^4*T2^5 + 2490*T1^5*T2^5 - 2638*T1^6*T2^5 - 2638*T1^7*T2^5 + 
      2490*T1^8*T2^5 - 2340*T1^9*T2^5 - 1237*T1^10*T2^5 + 1597*T1^11*T2^5 - 
      284*T1^12*T2^5 - 330*T1^13*T2^5 + 208*T2^6 + 608*T1*T2^6 - 
      959*T1^2*T2^6 - 1237*T1^3*T2^6 + 4850*T1^4*T2^6 - 2638*T1^5*T2^6 + 
      2145*T1^6*T2^6 + 2209*T1^7*T2^6 + 2145*T1^8*T2^6 - 2638*T1^9*T2^6 + 
      4850*T1^10*T2^6 - 1237*T1^11*T2^6 - 959*T1^12*T2^6 + 608*T1^13*T2^6 + 
      208*T1^14*T2^6 - 84*T2^7 - 616*T1*T2^7 + 89*T1^2*T2^7 + 
      1902*T1^3*T2^7 - 2340*T1^4*T2^7 - 2638*T1^5*T2^7 + 2209*T1^6*T2^7 - 
      3652*T1^7*T2^7 - 3652*T1^8*T2^7 + 2209*T1^9*T2^7 - 2638*T1^10*T2^7 - 
      2340*T1^11*T2^7 + 1902*T1^12*T2^7 + 89*T1^13*T2^7 - 616*T1^14*T2^7 - 
      84*T1^15*T2^7 + 17*T2^8 + 332*T1*T2^8 + 691*T1^2*T2^8 - 
      1692*T1^3*T2^8 + 384*T1^4*T2^8 + 2490*T1^5*T2^8 + 2145*T1^6*T2^8 - 
      3652*T1^7*T2^8 + 9624*T1^8*T2^8 - 3652*T1^9*T2^8 + 2145*T1^10*T2^8 + 
      2490*T1^11*T2^8 + 384*T1^12*T2^8 - 1692*T1^13*T2^8 + 691*T1^14*T2^8 + 
      332*T1^15*T2^8 + 17*T1^16*T2^8 - 84*T1*T2^9 - 616*T1^2*T2^9 + 
      89*T1^3*T2^9 + 1902*T1^4*T2^9 - 2340*T1^5*T2^9 - 2638*T1^6*T2^9 + 
      2209*T1^7*T2^9 - 3652*T1^8*T2^9 - 3652*T1^9*T2^9 + 2209*T1^10*T2^9 - 
      2638*T1^11*T2^9 - 2340*T1^12*T2^9 + 1902*T1^13*T2^9 + 89*T1^14*T2^9 - 
      616*T1^15*T2^9 - 84*T1^16*T2^9 + 208*T1^2*T2^10 + 608*T1^3*T2^10 - 
      959*T1^4*T2^10 - 1237*T1^5*T2^10 + 4850*T1^6*T2^10 - 2638*T1^7*T2^10 + 
      2145*T1^8*T2^10 + 2209*T1^9*T2^10 + 2145*T1^10*T2^10 - 
      2638*T1^11*T2^10 + 4850*T1^12*T2^10 - 1237*T1^13*T2^10 - 
      959*T1^14*T2^10 + 608*T1^15*T2^10 + 208*T1^16*T2^10 - 330*T1^3*T2^11 - 
      284*T1^4*T2^11 + 1597*T1^5*T2^11 - 1237*T1^6*T2^11 - 2340*T1^7*T2^11 + 
      2490*T1^8*T2^11 - 2638*T1^9*T2^11 - 2638*T1^10*T2^11 + 
      2490*T1^11*T2^11 - 2340*T1^12*T2^11 - 1237*T1^13*T2^11 + 
      1597*T1^14*T2^11 - 284*T1^15*T2^11 - 330*T1^16*T2^11 + 387*T1^4*T2^12 - 
      284*T1^5*T2^12 - 959*T1^6*T2^12 + 1902*T1^7*T2^12 + 384*T1^8*T2^12 - 
      2340*T1^9*T2^12 + 4850*T1^10*T2^12 - 2340*T1^11*T2^12 + 
      384*T1^12*T2^12 + 1902*T1^13*T2^12 - 959*T1^14*T2^12 - 
      284*T1^15*T2^12 + 387*T1^16*T2^12 - 330*T1^5*T2^13 + 608*T1^6*T2^13 + 
      89*T1^7*T2^13 - 1692*T1^8*T2^13 + 1902*T1^9*T2^13 - 1237*T1^10*T2^13 - 
      1237*T1^11*T2^13 + 1902*T1^12*T2^13 - 1692*T1^13*T2^13 + 
      89*T1^14*T2^13 + 608*T1^15*T2^13 - 330*T1^16*T2^13 + 208*T1^6*T2^14 - 
      616*T1^7*T2^14 + 691*T1^8*T2^14 + 89*T1^9*T2^14 - 959*T1^10*T2^14 + 
      1597*T1^11*T2^14 - 959*T1^12*T2^14 + 89*T1^13*T2^14 + 691*T1^14*T2^14 - 
      616*T1^15*T2^14 + 208*T1^16*T2^14 - 84*T1^7*T2^15 + 332*T1^8*T2^15 - 
      616*T1^9*T2^15 + 608*T1^10*T2^15 - 284*T1^11*T2^15 - 284*T1^12*T2^15 + 
      608*T1^13*T2^15 - 616*T1^14*T2^15 + 332*T1^15*T2^15 - 84*T1^16*T2^15 + 
      17*T1^8*T2^16 - 84*T1^9*T2^16 + 208*T1^10*T2^16 - 330*T1^11*T2^16 + 
      387*T1^12*T2^16 - 330*T1^13*T2^16 + 208*T1^14*T2^16 - 84*T1^15*T2^16 + 
      17*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 862] -> 
  {((1 - T + T^2)*(4 - 15*T + 23*T^2 - 15*T^3 + 4*T^4))/T^3, 
   -((80 - 376*T1 + 824*T1^2 - 1032*T1^3 + 824*T1^4 - 376*T1^5 + 80*T1^6 - 
      376*T2 + 1392*T1*T2 - 2107*T1^2*T2 + 979*T1^3*T2 + 979*T1^4*T2 - 
      2107*T1^5*T2 + 1392*T1^6*T2 - 376*T1^7*T2 + 824*T2^2 - 2107*T1*T2^2 + 
      936*T1^2*T2^2 + 3956*T1^3*T2^2 - 6222*T1^4*T2^2 + 3956*T1^5*T2^2 + 
      936*T1^6*T2^2 - 2107*T1^7*T2^2 + 824*T1^8*T2^2 - 1032*T2^3 + 
      979*T1*T2^3 + 3956*T1^2*T2^3 - 10036*T1^3*T2^3 + 4755*T1^4*T2^3 + 
      4755*T1^5*T2^3 - 10036*T1^6*T2^3 + 3956*T1^7*T2^3 + 979*T1^8*T2^3 - 
      1032*T1^9*T2^3 + 824*T2^4 + 979*T1*T2^4 - 6222*T1^2*T2^4 + 
      4755*T1^3*T2^4 + 11920*T1^4*T2^4 - 19170*T1^5*T2^4 + 11920*T1^6*T2^4 + 
      4755*T1^7*T2^4 - 6222*T1^8*T2^4 + 979*T1^9*T2^4 + 824*T1^10*T2^4 - 
      376*T2^5 - 2107*T1*T2^5 + 3956*T1^2*T2^5 + 4755*T1^3*T2^5 - 
      19170*T1^4*T2^5 + 9064*T1^5*T2^5 + 9064*T1^6*T2^5 - 19170*T1^7*T2^5 + 
      4755*T1^8*T2^5 + 3956*T1^9*T2^5 - 2107*T1^10*T2^5 - 376*T1^11*T2^5 + 
      80*T2^6 + 1392*T1*T2^6 + 936*T1^2*T2^6 - 10036*T1^3*T2^6 + 
      11920*T1^4*T2^6 + 9064*T1^5*T2^6 - 17964*T1^6*T2^6 + 9064*T1^7*T2^6 + 
      11920*T1^8*T2^6 - 10036*T1^9*T2^6 + 936*T1^10*T2^6 + 1392*T1^11*T2^6 + 
      80*T1^12*T2^6 - 376*T1*T2^7 - 2107*T1^2*T2^7 + 3956*T1^3*T2^7 + 
      4755*T1^4*T2^7 - 19170*T1^5*T2^7 + 9064*T1^6*T2^7 + 9064*T1^7*T2^7 - 
      19170*T1^8*T2^7 + 4755*T1^9*T2^7 + 3956*T1^10*T2^7 - 2107*T1^11*T2^7 - 
      376*T1^12*T2^7 + 824*T1^2*T2^8 + 979*T1^3*T2^8 - 6222*T1^4*T2^8 + 
      4755*T1^5*T2^8 + 11920*T1^6*T2^8 - 19170*T1^7*T2^8 + 11920*T1^8*T2^8 + 
      4755*T1^9*T2^8 - 6222*T1^10*T2^8 + 979*T1^11*T2^8 + 824*T1^12*T2^8 - 
      1032*T1^3*T2^9 + 979*T1^4*T2^9 + 3956*T1^5*T2^9 - 10036*T1^6*T2^9 + 
      4755*T1^7*T2^9 + 4755*T1^8*T2^9 - 10036*T1^9*T2^9 + 3956*T1^10*T2^9 + 
      979*T1^11*T2^9 - 1032*T1^12*T2^9 + 824*T1^4*T2^10 - 2107*T1^5*T2^10 + 
      936*T1^6*T2^10 + 3956*T1^7*T2^10 - 6222*T1^8*T2^10 + 3956*T1^9*T2^10 + 
      936*T1^10*T2^10 - 2107*T1^11*T2^10 + 824*T1^12*T2^10 - 376*T1^5*T2^11 + 
      1392*T1^6*T2^11 - 2107*T1^7*T2^11 + 979*T1^8*T2^11 + 979*T1^9*T2^11 - 
      2107*T1^10*T2^11 + 1392*T1^11*T2^11 - 376*T1^12*T2^11 + 80*T1^6*T2^12 - 
      376*T1^7*T2^12 + 824*T1^8*T2^12 - 1032*T1^9*T2^12 + 824*T1^10*T2^12 - 
      376*T1^11*T2^12 + 80*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 863] -> 
  {(3 - 14*T + 30*T^2 - 37*T^3 + 30*T^4 - 14*T^5 + 3*T^6)/T^3, 
   -((36 - 166*T1 + 354*T1^2 - 434*T1^3 + 354*T1^4 - 166*T1^5 + 36*T1^6 - 
      166*T2 + 600*T1*T2 - 868*T1^2*T2 + 370*T1^3*T2 + 370*T1^4*T2 - 
      868*T1^5*T2 + 600*T1^6*T2 - 166*T1^7*T2 + 354*T2^2 - 868*T1*T2^2 + 
      273*T1^2*T2^2 + 1748*T1^3*T2^2 - 2461*T1^4*T2^2 + 1748*T1^5*T2^2 + 
      273*T1^6*T2^2 - 868*T1^7*T2^2 + 354*T1^8*T2^2 - 434*T2^3 + 
      370*T1*T2^3 + 1748*T1^2*T2^3 - 4028*T1^3*T2^3 + 1606*T1^4*T2^3 + 
      1606*T1^5*T2^3 - 4028*T1^6*T2^3 + 1748*T1^7*T2^3 + 370*T1^8*T2^3 - 
      434*T1^9*T2^3 + 354*T2^4 + 370*T1*T2^4 - 2461*T1^2*T2^4 + 
      1606*T1^3*T2^4 + 4983*T1^4*T2^4 - 6945*T1^5*T2^4 + 4983*T1^6*T2^4 + 
      1606*T1^7*T2^4 - 2461*T1^8*T2^4 + 370*T1^9*T2^4 + 354*T1^10*T2^4 - 
      166*T2^5 - 868*T1*T2^5 + 1748*T1^2*T2^5 + 1606*T1^3*T2^5 - 
      6945*T1^4*T2^5 + 2676*T1^5*T2^5 + 2676*T1^6*T2^5 - 6945*T1^7*T2^5 + 
      1606*T1^8*T2^5 + 1748*T1^9*T2^5 - 868*T1^10*T2^5 - 166*T1^11*T2^5 + 
      36*T2^6 + 600*T1*T2^6 + 273*T1^2*T2^6 - 4028*T1^3*T2^6 + 
      4983*T1^4*T2^6 + 2676*T1^5*T2^6 - 4728*T1^6*T2^6 + 2676*T1^7*T2^6 + 
      4983*T1^8*T2^6 - 4028*T1^9*T2^6 + 273*T1^10*T2^6 + 600*T1^11*T2^6 + 
      36*T1^12*T2^6 - 166*T1*T2^7 - 868*T1^2*T2^7 + 1748*T1^3*T2^7 + 
      1606*T1^4*T2^7 - 6945*T1^5*T2^7 + 2676*T1^6*T2^7 + 2676*T1^7*T2^7 - 
      6945*T1^8*T2^7 + 1606*T1^9*T2^7 + 1748*T1^10*T2^7 - 868*T1^11*T2^7 - 
      166*T1^12*T2^7 + 354*T1^2*T2^8 + 370*T1^3*T2^8 - 2461*T1^4*T2^8 + 
      1606*T1^5*T2^8 + 4983*T1^6*T2^8 - 6945*T1^7*T2^8 + 4983*T1^8*T2^8 + 
      1606*T1^9*T2^8 - 2461*T1^10*T2^8 + 370*T1^11*T2^8 + 354*T1^12*T2^8 - 
      434*T1^3*T2^9 + 370*T1^4*T2^9 + 1748*T1^5*T2^9 - 4028*T1^6*T2^9 + 
      1606*T1^7*T2^9 + 1606*T1^8*T2^9 - 4028*T1^9*T2^9 + 1748*T1^10*T2^9 + 
      370*T1^11*T2^9 - 434*T1^12*T2^9 + 354*T1^4*T2^10 - 868*T1^5*T2^10 + 
      273*T1^6*T2^10 + 1748*T1^7*T2^10 - 2461*T1^8*T2^10 + 1748*T1^9*T2^10 + 
      273*T1^10*T2^10 - 868*T1^11*T2^10 + 354*T1^12*T2^10 - 166*T1^5*T2^11 + 
      600*T1^6*T2^11 - 868*T1^7*T2^11 + 370*T1^8*T2^11 + 370*T1^9*T2^11 - 
      868*T1^10*T2^11 + 600*T1^11*T2^11 - 166*T1^12*T2^11 + 36*T1^6*T2^12 - 
      166*T1^7*T2^12 + 354*T1^8*T2^12 - 434*T1^9*T2^12 + 354*T1^10*T2^12 - 
      166*T1^11*T2^12 + 36*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, -((1 - 5*T1 + 12*T1^2 - 20*T1^3 + 27*T1^4 - 29*T1^5 + 
      27*T1^6 - 20*T1^7 + 12*T1^8 - 5*T1^9 + T1^10 - 5*T2 + 20*T1*T2 - 
      35*T1^2*T2 + 40*T1^3*T2 - 35*T1^4*T2 + 10*T1^5*T2 + 10*T1^6*T2 - 
      35*T1^7*T2 + 40*T1^8*T2 - 35*T1^9*T2 + 20*T1^10*T2 - 5*T1^11*T2 + 
      12*T2^2 - 35*T1*T2^2 + 31*T1^2*T2^2 + T1^3*T2^2 - 36*T1^4*T2^2 + 
      96*T1^5*T2^2 - 89*T1^6*T2^2 + 96*T1^7*T2^2 - 36*T1^8*T2^2 + T1^9*T2^2 + 
      31*T1^10*T2^2 - 35*T1^11*T2^2 + 12*T1^12*T2^2 - 20*T2^3 + 40*T1*T2^3 + 
      T1^2*T2^3 - 48*T1^3*T2^3 + 59*T1^4*T2^3 - 108*T1^5*T2^3 - 3*T1^6*T2^3 - 
      3*T1^7*T2^3 - 108*T1^8*T2^3 + 59*T1^9*T2^3 - 48*T1^10*T2^3 + 
      T1^11*T2^3 + 40*T1^12*T2^3 - 20*T1^13*T2^3 + 27*T2^4 - 35*T1*T2^4 - 
      36*T1^2*T2^4 + 59*T1^3*T2^4 - 41*T1^4*T2^4 + 116*T1^5*T2^4 + 
      78*T1^6*T2^4 + 43*T1^7*T2^4 + 78*T1^8*T2^4 + 116*T1^9*T2^4 - 
      41*T1^10*T2^4 + 59*T1^11*T2^4 - 36*T1^12*T2^4 - 35*T1^13*T2^4 + 
      27*T1^14*T2^4 - 29*T2^5 + 10*T1*T2^5 + 96*T1^2*T2^5 - 108*T1^3*T2^5 + 
      116*T1^4*T2^5 - 222*T1^5*T2^5 - 98*T1^6*T2^5 - 124*T1^7*T2^5 - 
      124*T1^8*T2^5 - 98*T1^9*T2^5 - 222*T1^10*T2^5 + 116*T1^11*T2^5 - 
      108*T1^12*T2^5 + 96*T1^13*T2^5 + 10*T1^14*T2^5 - 29*T1^15*T2^5 + 
      27*T2^6 + 10*T1*T2^6 - 89*T1^2*T2^6 - 3*T1^3*T2^6 + 78*T1^4*T2^6 - 
      98*T1^5*T2^6 + 584*T1^6*T2^6 - 242*T1^7*T2^6 + 582*T1^8*T2^6 - 
      242*T1^9*T2^6 + 584*T1^10*T2^6 - 98*T1^11*T2^6 + 78*T1^12*T2^6 - 
      3*T1^13*T2^6 - 89*T1^14*T2^6 + 10*T1^15*T2^6 + 27*T1^16*T2^6 - 
      20*T2^7 - 35*T1*T2^7 + 96*T1^2*T2^7 - 3*T1^3*T2^7 + 43*T1^4*T2^7 - 
      124*T1^5*T2^7 - 242*T1^6*T2^7 - 290*T1^7*T2^7 - 164*T1^8*T2^7 - 
      164*T1^9*T2^7 - 290*T1^10*T2^7 - 242*T1^11*T2^7 - 124*T1^12*T2^7 + 
      43*T1^13*T2^7 - 3*T1^14*T2^7 + 96*T1^15*T2^7 - 35*T1^16*T2^7 - 
      20*T1^17*T2^7 + 12*T2^8 + 40*T1*T2^8 - 36*T1^2*T2^8 - 108*T1^3*T2^8 + 
      78*T1^4*T2^8 - 124*T1^5*T2^8 + 582*T1^6*T2^8 - 164*T1^7*T2^8 + 
      834*T1^8*T2^8 - 492*T1^9*T2^8 + 834*T1^10*T2^8 - 164*T1^11*T2^8 + 
      582*T1^12*T2^8 - 124*T1^13*T2^8 + 78*T1^14*T2^8 - 108*T1^15*T2^8 - 
      36*T1^16*T2^8 + 40*T1^17*T2^8 + 12*T1^18*T2^8 - 5*T2^9 - 35*T1*T2^9 + 
      T1^2*T2^9 + 59*T1^3*T2^9 + 116*T1^4*T2^9 - 98*T1^5*T2^9 - 
      242*T1^6*T2^9 - 164*T1^7*T2^9 - 492*T1^8*T2^9 - 78*T1^9*T2^9 - 
      78*T1^10*T2^9 - 492*T1^11*T2^9 - 164*T1^12*T2^9 - 242*T1^13*T2^9 - 
      98*T1^14*T2^9 + 116*T1^15*T2^9 + 59*T1^16*T2^9 + T1^17*T2^9 - 
      35*T1^18*T2^9 - 5*T1^19*T2^9 + T2^10 + 20*T1*T2^10 + 31*T1^2*T2^10 - 
      48*T1^3*T2^10 - 41*T1^4*T2^10 - 222*T1^5*T2^10 + 584*T1^6*T2^10 - 
      290*T1^7*T2^10 + 834*T1^8*T2^10 - 78*T1^9*T2^10 + 336*T1^10*T2^10 - 
      78*T1^11*T2^10 + 834*T1^12*T2^10 - 290*T1^13*T2^10 + 584*T1^14*T2^10 - 
      222*T1^15*T2^10 - 41*T1^16*T2^10 - 48*T1^17*T2^10 + 31*T1^18*T2^10 + 
      20*T1^19*T2^10 + T1^20*T2^10 - 5*T1*T2^11 - 35*T1^2*T2^11 + 
      T1^3*T2^11 + 59*T1^4*T2^11 + 116*T1^5*T2^11 - 98*T1^6*T2^11 - 
      242*T1^7*T2^11 - 164*T1^8*T2^11 - 492*T1^9*T2^11 - 78*T1^10*T2^11 - 
      78*T1^11*T2^11 - 492*T1^12*T2^11 - 164*T1^13*T2^11 - 242*T1^14*T2^11 - 
      98*T1^15*T2^11 + 116*T1^16*T2^11 + 59*T1^17*T2^11 + T1^18*T2^11 - 
      35*T1^19*T2^11 - 5*T1^20*T2^11 + 12*T1^2*T2^12 + 40*T1^3*T2^12 - 
      36*T1^4*T2^12 - 108*T1^5*T2^12 + 78*T1^6*T2^12 - 124*T1^7*T2^12 + 
      582*T1^8*T2^12 - 164*T1^9*T2^12 + 834*T1^10*T2^12 - 492*T1^11*T2^12 + 
      834*T1^12*T2^12 - 164*T1^13*T2^12 + 582*T1^14*T2^12 - 124*T1^15*T2^12 + 
      78*T1^16*T2^12 - 108*T1^17*T2^12 - 36*T1^18*T2^12 + 40*T1^19*T2^12 + 
      12*T1^20*T2^12 - 20*T1^3*T2^13 - 35*T1^4*T2^13 + 96*T1^5*T2^13 - 
      3*T1^6*T2^13 + 43*T1^7*T2^13 - 124*T1^8*T2^13 - 242*T1^9*T2^13 - 
      290*T1^10*T2^13 - 164*T1^11*T2^13 - 164*T1^12*T2^13 - 290*T1^13*T2^13 - 
      242*T1^14*T2^13 - 124*T1^15*T2^13 + 43*T1^16*T2^13 - 3*T1^17*T2^13 + 
      96*T1^18*T2^13 - 35*T1^19*T2^13 - 20*T1^20*T2^13 + 27*T1^4*T2^14 + 
      10*T1^5*T2^14 - 89*T1^6*T2^14 - 3*T1^7*T2^14 + 78*T1^8*T2^14 - 
      98*T1^9*T2^14 + 584*T1^10*T2^14 - 242*T1^11*T2^14 + 582*T1^12*T2^14 - 
      242*T1^13*T2^14 + 584*T1^14*T2^14 - 98*T1^15*T2^14 + 78*T1^16*T2^14 - 
      3*T1^17*T2^14 - 89*T1^18*T2^14 + 10*T1^19*T2^14 + 27*T1^20*T2^14 - 
      29*T1^5*T2^15 + 10*T1^6*T2^15 + 96*T1^7*T2^15 - 108*T1^8*T2^15 + 
      116*T1^9*T2^15 - 222*T1^10*T2^15 - 98*T1^11*T2^15 - 124*T1^12*T2^15 - 
      124*T1^13*T2^15 - 98*T1^14*T2^15 - 222*T1^15*T2^15 + 116*T1^16*T2^15 - 
      108*T1^17*T2^15 + 96*T1^18*T2^15 + 10*T1^19*T2^15 - 29*T1^20*T2^15 + 
      27*T1^6*T2^16 - 35*T1^7*T2^16 - 36*T1^8*T2^16 + 59*T1^9*T2^16 - 
      41*T1^10*T2^16 + 116*T1^11*T2^16 + 78*T1^12*T2^16 + 43*T1^13*T2^16 + 
      78*T1^14*T2^16 + 116*T1^15*T2^16 - 41*T1^16*T2^16 + 59*T1^17*T2^16 - 
      36*T1^18*T2^16 - 35*T1^19*T2^16 + 27*T1^20*T2^16 - 20*T1^7*T2^17 + 
      40*T1^8*T2^17 + T1^9*T2^17 - 48*T1^10*T2^17 + 59*T1^11*T2^17 - 
      108*T1^12*T2^17 - 3*T1^13*T2^17 - 3*T1^14*T2^17 - 108*T1^15*T2^17 + 
      59*T1^16*T2^17 - 48*T1^17*T2^17 + T1^18*T2^17 + 40*T1^19*T2^17 - 
      20*T1^20*T2^17 + 12*T1^8*T2^18 - 35*T1^9*T2^18 + 31*T1^10*T2^18 + 
      T1^11*T2^18 - 36*T1^12*T2^18 + 96*T1^13*T2^18 - 89*T1^14*T2^18 + 
      96*T1^15*T2^18 - 36*T1^16*T2^18 + T1^17*T2^18 + 31*T1^18*T2^18 - 
      35*T1^19*T2^18 + 12*T1^20*T2^18 - 5*T1^9*T2^19 + 20*T1^10*T2^19 - 
      35*T1^11*T2^19 + 40*T1^12*T2^19 - 35*T1^13*T2^19 + 10*T1^14*T2^19 + 
      10*T1^15*T2^19 - 35*T1^16*T2^19 + 40*T1^17*T2^19 - 35*T1^18*T2^19 + 
      20*T1^19*T2^19 - 5*T1^20*T2^19 + T1^10*T2^20 - 5*T1^11*T2^20 + 
      12*T1^12*T2^20 - 20*T1^13*T2^20 + 27*T1^14*T2^20 - 29*T1^15*T2^20 + 
      27*T1^16*T2^20 - 20*T1^17*T2^20 + 12*T1^18*T2^20 - 5*T1^19*T2^20 + 
      T1^20*T2^20)/(T1^10*T2^10))}, 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, -((1 - 5*T1 + 12*T1^2 - 19*T1^3 + 23*T1^4 - 19*T1^5 + 12*T1^6 - 
      5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 35*T1^2*T2 + 35*T1^3*T2 - 
      20*T1^4*T2 - 20*T1^5*T2 + 35*T1^6*T2 - 35*T1^7*T2 + 20*T1^8*T2 - 
      5*T1^9*T2 + 12*T2^2 - 35*T1*T2^2 + 37*T1^2*T2^2 - 15*T1^3*T2^2 + 
      3*T1^4*T2^2 + 47*T1^5*T2^2 + 3*T1^6*T2^2 - 15*T1^7*T2^2 + 
      37*T1^8*T2^2 - 35*T1^9*T2^2 + 12*T1^10*T2^2 - 19*T2^3 + 35*T1*T2^3 - 
      15*T1^2*T2^3 + 16*T1^3*T2^3 - 67*T1^4*T2^3 - 39*T1^5*T2^3 - 
      39*T1^6*T2^3 - 67*T1^7*T2^3 + 16*T1^8*T2^3 - 15*T1^9*T2^3 + 
      35*T1^10*T2^3 - 19*T1^11*T2^3 + 23*T2^4 - 20*T1*T2^4 + 3*T1^2*T2^4 - 
      67*T1^3*T2^4 + 118*T1^4*T2^4 + 228*T1^5*T2^4 - 92*T1^6*T2^4 + 
      228*T1^7*T2^4 + 118*T1^8*T2^4 - 67*T1^9*T2^4 + 3*T1^10*T2^4 - 
      20*T1^11*T2^4 + 23*T1^12*T2^4 - 19*T2^5 - 20*T1*T2^5 + 47*T1^2*T2^5 - 
      39*T1^3*T2^5 + 228*T1^4*T2^5 - 808*T1^5*T2^5 + 98*T1^6*T2^5 + 
      98*T1^7*T2^5 - 808*T1^8*T2^5 + 228*T1^9*T2^5 - 39*T1^10*T2^5 + 
      47*T1^11*T2^5 - 20*T1^12*T2^5 - 19*T1^13*T2^5 + 12*T2^6 + 35*T1*T2^6 + 
      3*T1^2*T2^6 - 39*T1^3*T2^6 - 92*T1^4*T2^6 + 98*T1^5*T2^6 + 
      1645*T1^6*T2^6 - 1555*T1^7*T2^6 + 1645*T1^8*T2^6 + 98*T1^9*T2^6 - 
      92*T1^10*T2^6 - 39*T1^11*T2^6 + 3*T1^12*T2^6 + 35*T1^13*T2^6 + 
      12*T1^14*T2^6 - 5*T2^7 - 35*T1*T2^7 - 15*T1^2*T2^7 - 67*T1^3*T2^7 + 
      228*T1^4*T2^7 + 98*T1^5*T2^7 - 1555*T1^6*T2^7 + 126*T1^7*T2^7 + 
      126*T1^8*T2^7 - 1555*T1^9*T2^7 + 98*T1^10*T2^7 + 228*T1^11*T2^7 - 
      67*T1^12*T2^7 - 15*T1^13*T2^7 - 35*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 
      20*T1*T2^8 + 37*T1^2*T2^8 + 16*T1^3*T2^8 + 118*T1^4*T2^8 - 
      808*T1^5*T2^8 + 1645*T1^6*T2^8 + 126*T1^7*T2^8 + 420*T1^8*T2^8 + 
      126*T1^9*T2^8 + 1645*T1^10*T2^8 - 808*T1^11*T2^8 + 118*T1^12*T2^8 + 
      16*T1^13*T2^8 + 37*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 
      5*T1*T2^9 - 35*T1^2*T2^9 - 15*T1^3*T2^9 - 67*T1^4*T2^9 + 
      228*T1^5*T2^9 + 98*T1^6*T2^9 - 1555*T1^7*T2^9 + 126*T1^8*T2^9 + 
      126*T1^9*T2^9 - 1555*T1^10*T2^9 + 98*T1^11*T2^9 + 228*T1^12*T2^9 - 
      67*T1^13*T2^9 - 15*T1^14*T2^9 - 35*T1^15*T2^9 - 5*T1^16*T2^9 + 
      12*T1^2*T2^10 + 35*T1^3*T2^10 + 3*T1^4*T2^10 - 39*T1^5*T2^10 - 
      92*T1^6*T2^10 + 98*T1^7*T2^10 + 1645*T1^8*T2^10 - 1555*T1^9*T2^10 + 
      1645*T1^10*T2^10 + 98*T1^11*T2^10 - 92*T1^12*T2^10 - 39*T1^13*T2^10 + 
      3*T1^14*T2^10 + 35*T1^15*T2^10 + 12*T1^16*T2^10 - 19*T1^3*T2^11 - 
      20*T1^4*T2^11 + 47*T1^5*T2^11 - 39*T1^6*T2^11 + 228*T1^7*T2^11 - 
      808*T1^8*T2^11 + 98*T1^9*T2^11 + 98*T1^10*T2^11 - 808*T1^11*T2^11 + 
      228*T1^12*T2^11 - 39*T1^13*T2^11 + 47*T1^14*T2^11 - 20*T1^15*T2^11 - 
      19*T1^16*T2^11 + 23*T1^4*T2^12 - 20*T1^5*T2^12 + 3*T1^6*T2^12 - 
      67*T1^7*T2^12 + 118*T1^8*T2^12 + 228*T1^9*T2^12 - 92*T1^10*T2^12 + 
      228*T1^11*T2^12 + 118*T1^12*T2^12 - 67*T1^13*T2^12 + 3*T1^14*T2^12 - 
      20*T1^15*T2^12 + 23*T1^16*T2^12 - 19*T1^5*T2^13 + 35*T1^6*T2^13 - 
      15*T1^7*T2^13 + 16*T1^8*T2^13 - 67*T1^9*T2^13 - 39*T1^10*T2^13 - 
      39*T1^11*T2^13 - 67*T1^12*T2^13 + 16*T1^13*T2^13 - 15*T1^14*T2^13 + 
      35*T1^15*T2^13 - 19*T1^16*T2^13 + 12*T1^6*T2^14 - 35*T1^7*T2^14 + 
      37*T1^8*T2^14 - 15*T1^9*T2^14 + 3*T1^10*T2^14 + 47*T1^11*T2^14 + 
      3*T1^12*T2^14 - 15*T1^13*T2^14 + 37*T1^14*T2^14 - 35*T1^15*T2^14 + 
      12*T1^16*T2^14 - 5*T1^7*T2^15 + 20*T1^8*T2^15 - 35*T1^9*T2^15 + 
      35*T1^10*T2^15 - 20*T1^11*T2^15 - 20*T1^12*T2^15 + 35*T1^13*T2^15 - 
      35*T1^14*T2^15 + 20*T1^15*T2^15 - 5*T1^16*T2^15 + T1^8*T2^16 - 
      5*T1^9*T2^16 + 12*T1^10*T2^16 - 19*T1^11*T2^16 + 23*T1^12*T2^16 - 
      19*T1^13*T2^16 + 12*T1^14*T2^16 - 5*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, 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), (9 - 53*T1 + 147*T1^2 - 265*T1^3 + 319*T1^4 - 265*T1^5 + 
     147*T1^6 - 53*T1^7 + 9*T1^8 - 53*T2 + 260*T1*T2 - 557*T1^2*T2 + 
     699*T1^3*T2 - 320*T1^4*T2 - 320*T1^5*T2 + 699*T1^6*T2 - 557*T1^7*T2 + 
     260*T1^8*T2 - 53*T1^9*T2 + 147*T2^2 - 557*T1*T2^2 + 710*T1^2*T2^2 - 
     49*T1^3*T2^2 - 1692*T1^4*T2^2 + 2558*T1^5*T2^2 - 1692*T1^6*T2^2 - 
     49*T1^7*T2^2 + 710*T1^8*T2^2 - 557*T1^9*T2^2 + 147*T1^10*T2^2 - 
     265*T2^3 + 699*T1*T2^3 - 49*T1^2*T2^3 - 1728*T1^3*T2^3 + 
     3831*T1^4*T2^3 - 1898*T1^5*T2^3 - 1898*T1^6*T2^3 + 3831*T1^7*T2^3 - 
     1728*T1^8*T2^3 - 49*T1^9*T2^3 + 699*T1^10*T2^3 - 265*T1^11*T2^3 + 
     319*T2^4 - 320*T1*T2^4 - 1692*T1^2*T2^4 + 3831*T1^3*T2^4 - 
     4317*T1^4*T2^4 - 1805*T1^5*T2^4 + 4829*T1^6*T2^4 - 1805*T1^7*T2^4 - 
     4317*T1^8*T2^4 + 3831*T1^9*T2^4 - 1692*T1^10*T2^4 - 320*T1^11*T2^4 + 
     319*T1^12*T2^4 - 265*T2^5 - 320*T1*T2^5 + 2558*T1^2*T2^5 - 
     1898*T1^3*T2^5 - 1805*T1^4*T2^5 + 10010*T1^5*T2^5 - 5055*T1^6*T2^5 - 
     5055*T1^7*T2^5 + 10010*T1^8*T2^5 - 1805*T1^9*T2^5 - 1898*T1^10*T2^5 + 
     2558*T1^11*T2^5 - 320*T1^12*T2^5 - 265*T1^13*T2^5 + 147*T2^6 + 
     699*T1*T2^6 - 1692*T1^2*T2^6 - 1898*T1^3*T2^6 + 4829*T1^4*T2^6 - 
     5055*T1^5*T2^6 - 12871*T1^6*T2^6 + 21099*T1^7*T2^6 - 12871*T1^8*T2^6 - 
     5055*T1^9*T2^6 + 4829*T1^10*T2^6 - 1898*T1^11*T2^6 - 1692*T1^12*T2^6 + 
     699*T1^13*T2^6 + 147*T1^14*T2^6 - 53*T2^7 - 557*T1*T2^7 - 49*T1^2*T2^7 + 
     3831*T1^3*T2^7 - 1805*T1^4*T2^7 - 5055*T1^5*T2^7 + 21099*T1^6*T2^7 - 
     10340*T1^7*T2^7 - 10340*T1^8*T2^7 + 21099*T1^9*T2^7 - 5055*T1^10*T2^7 - 
     1805*T1^11*T2^7 + 3831*T1^12*T2^7 - 49*T1^13*T2^7 - 557*T1^14*T2^7 - 
     53*T1^15*T2^7 + 9*T2^8 + 260*T1*T2^8 + 710*T1^2*T2^8 - 1728*T1^3*T2^8 - 
     4317*T1^4*T2^8 + 10010*T1^5*T2^8 - 12871*T1^6*T2^8 - 10340*T1^7*T2^8 + 
     20976*T1^8*T2^8 - 10340*T1^9*T2^8 - 12871*T1^10*T2^8 + 
     10010*T1^11*T2^8 - 4317*T1^12*T2^8 - 1728*T1^13*T2^8 + 710*T1^14*T2^8 + 
     260*T1^15*T2^8 + 9*T1^16*T2^8 - 53*T1*T2^9 - 557*T1^2*T2^9 - 
     49*T1^3*T2^9 + 3831*T1^4*T2^9 - 1805*T1^5*T2^9 - 5055*T1^6*T2^9 + 
     21099*T1^7*T2^9 - 10340*T1^8*T2^9 - 10340*T1^9*T2^9 + 21099*T1^10*T2^9 - 
     5055*T1^11*T2^9 - 1805*T1^12*T2^9 + 3831*T1^13*T2^9 - 49*T1^14*T2^9 - 
     557*T1^15*T2^9 - 53*T1^16*T2^9 + 147*T1^2*T2^10 + 699*T1^3*T2^10 - 
     1692*T1^4*T2^10 - 1898*T1^5*T2^10 + 4829*T1^6*T2^10 - 5055*T1^7*T2^10 - 
     12871*T1^8*T2^10 + 21099*T1^9*T2^10 - 12871*T1^10*T2^10 - 
     5055*T1^11*T2^10 + 4829*T1^12*T2^10 - 1898*T1^13*T2^10 - 
     1692*T1^14*T2^10 + 699*T1^15*T2^10 + 147*T1^16*T2^10 - 265*T1^3*T2^11 - 
     320*T1^4*T2^11 + 2558*T1^5*T2^11 - 1898*T1^6*T2^11 - 1805*T1^7*T2^11 + 
     10010*T1^8*T2^11 - 5055*T1^9*T2^11 - 5055*T1^10*T2^11 + 
     10010*T1^11*T2^11 - 1805*T1^12*T2^11 - 1898*T1^13*T2^11 + 
     2558*T1^14*T2^11 - 320*T1^15*T2^11 - 265*T1^16*T2^11 + 319*T1^4*T2^12 - 
     320*T1^5*T2^12 - 1692*T1^6*T2^12 + 3831*T1^7*T2^12 - 4317*T1^8*T2^12 - 
     1805*T1^9*T2^12 + 4829*T1^10*T2^12 - 1805*T1^11*T2^12 - 
     4317*T1^12*T2^12 + 3831*T1^13*T2^12 - 1692*T1^14*T2^12 - 
     320*T1^15*T2^12 + 319*T1^16*T2^12 - 265*T1^5*T2^13 + 699*T1^6*T2^13 - 
     49*T1^7*T2^13 - 1728*T1^8*T2^13 + 3831*T1^9*T2^13 - 1898*T1^10*T2^13 - 
     1898*T1^11*T2^13 + 3831*T1^12*T2^13 - 1728*T1^13*T2^13 - 
     49*T1^14*T2^13 + 699*T1^15*T2^13 - 265*T1^16*T2^13 + 147*T1^6*T2^14 - 
     557*T1^7*T2^14 + 710*T1^8*T2^14 - 49*T1^9*T2^14 - 1692*T1^10*T2^14 + 
     2558*T1^11*T2^14 - 1692*T1^12*T2^14 - 49*T1^13*T2^14 + 710*T1^14*T2^14 - 
     557*T1^15*T2^14 + 147*T1^16*T2^14 - 53*T1^7*T2^15 + 260*T1^8*T2^15 - 
     557*T1^9*T2^15 + 699*T1^10*T2^15 - 320*T1^11*T2^15 - 320*T1^12*T2^15 + 
     699*T1^13*T2^15 - 557*T1^14*T2^15 + 260*T1^15*T2^15 - 53*T1^16*T2^15 + 
     9*T1^8*T2^16 - 53*T1^9*T2^16 + 147*T1^10*T2^16 - 265*T1^11*T2^16 + 
     319*T1^12*T2^16 - 265*T1^13*T2^16 + 147*T1^14*T2^16 - 53*T1^15*T2^16 + 
     9*T1^16*T2^16)/(T1^8*T2^8)}, 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, 
   -((6 - 36*T1 + 87*T1^2 - 116*T1^3 + 87*T1^4 - 36*T1^5 + 6*T1^6 - 36*T2 + 
      172*T1*T2 - 290*T1^2*T2 + 162*T1^3*T2 + 162*T1^4*T2 - 290*T1^5*T2 + 
      172*T1^6*T2 - 36*T1^7*T2 + 87*T2^2 - 290*T1*T2^2 + 111*T1^2*T2^2 + 
      741*T1^3*T2^2 - 1341*T1^4*T2^2 + 741*T1^5*T2^2 + 111*T1^6*T2^2 - 
      290*T1^7*T2^2 + 87*T1^8*T2^2 - 116*T2^3 + 162*T1*T2^3 + 741*T1^2*T2^3 - 
      2120*T1^3*T2^3 + 1335*T1^4*T2^3 + 1335*T1^5*T2^3 - 2120*T1^6*T2^3 + 
      741*T1^7*T2^3 + 162*T1^8*T2^3 - 116*T1^9*T2^3 + 87*T2^4 + 162*T1*T2^4 - 
      1341*T1^2*T2^4 + 1335*T1^3*T2^4 + 2835*T1^4*T2^4 - 5913*T1^5*T2^4 + 
      2835*T1^6*T2^4 + 1335*T1^7*T2^4 - 1341*T1^8*T2^4 + 162*T1^9*T2^4 + 
      87*T1^10*T2^4 - 36*T2^5 - 290*T1*T2^5 + 741*T1^2*T2^5 + 
      1335*T1^3*T2^5 - 5913*T1^4*T2^5 + 3840*T1^5*T2^5 + 3840*T1^6*T2^5 - 
      5913*T1^7*T2^5 + 1335*T1^8*T2^5 + 741*T1^9*T2^5 - 290*T1^10*T2^5 - 
      36*T1^11*T2^5 + 6*T2^6 + 172*T1*T2^6 + 111*T1^2*T2^6 - 2120*T1^3*T2^6 + 
      2835*T1^4*T2^6 + 3840*T1^5*T2^6 - 8832*T1^6*T2^6 + 3840*T1^7*T2^6 + 
      2835*T1^8*T2^6 - 2120*T1^9*T2^6 + 111*T1^10*T2^6 + 172*T1^11*T2^6 + 
      6*T1^12*T2^6 - 36*T1*T2^7 - 290*T1^2*T2^7 + 741*T1^3*T2^7 + 
      1335*T1^4*T2^7 - 5913*T1^5*T2^7 + 3840*T1^6*T2^7 + 3840*T1^7*T2^7 - 
      5913*T1^8*T2^7 + 1335*T1^9*T2^7 + 741*T1^10*T2^7 - 290*T1^11*T2^7 - 
      36*T1^12*T2^7 + 87*T1^2*T2^8 + 162*T1^3*T2^8 - 1341*T1^4*T2^8 + 
      1335*T1^5*T2^8 + 2835*T1^6*T2^8 - 5913*T1^7*T2^8 + 2835*T1^8*T2^8 + 
      1335*T1^9*T2^8 - 1341*T1^10*T2^8 + 162*T1^11*T2^8 + 87*T1^12*T2^8 - 
      116*T1^3*T2^9 + 162*T1^4*T2^9 + 741*T1^5*T2^9 - 2120*T1^6*T2^9 + 
      1335*T1^7*T2^9 + 1335*T1^8*T2^9 - 2120*T1^9*T2^9 + 741*T1^10*T2^9 + 
      162*T1^11*T2^9 - 116*T1^12*T2^9 + 87*T1^4*T2^10 - 290*T1^5*T2^10 + 
      111*T1^6*T2^10 + 741*T1^7*T2^10 - 1341*T1^8*T2^10 + 741*T1^9*T2^10 + 
      111*T1^10*T2^10 - 290*T1^11*T2^10 + 87*T1^12*T2^10 - 36*T1^5*T2^11 + 
      172*T1^6*T2^11 - 290*T1^7*T2^11 + 162*T1^8*T2^11 + 162*T1^9*T2^11 - 
      290*T1^10*T2^11 + 172*T1^11*T2^11 - 36*T1^12*T2^11 + 6*T1^6*T2^12 - 
      36*T1^7*T2^12 + 87*T1^8*T2^12 - 116*T1^9*T2^12 + 87*T1^10*T2^12 - 
      36*T1^11*T2^12 + 6*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   0}, 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), (2 - 10*T1 + 24*T1^2 - 42*T1^3 + 54*T1^4 - 
     58*T1^5 + 54*T1^6 - 42*T1^7 + 24*T1^8 - 10*T1^9 + 2*T1^10 - 10*T2 + 
     40*T1*T2 - 70*T1^2*T2 + 90*T1^3*T2 - 60*T1^4*T2 + 20*T1^5*T2 + 
     20*T1^6*T2 - 60*T1^7*T2 + 90*T1^8*T2 - 70*T1^9*T2 + 40*T1^10*T2 - 
     10*T1^11*T2 + 24*T2^2 - 70*T1*T2^2 + 60*T1^2*T2^2 - 14*T1^3*T2^2 - 
     136*T1^4*T2^2 + 184*T1^5*T2^2 - 192*T1^6*T2^2 + 184*T1^7*T2^2 - 
     136*T1^8*T2^2 - 14*T1^9*T2^2 + 60*T1^10*T2^2 - 70*T1^11*T2^2 + 
     24*T1^12*T2^2 - 42*T2^3 + 90*T1*T2^3 - 14*T1^2*T2^3 - 40*T1^3*T2^3 + 
     217*T1^4*T2^3 - 67*T1^5*T2^3 + 8*T1^6*T2^3 + 8*T1^7*T2^3 - 
     67*T1^8*T2^3 + 217*T1^9*T2^3 - 40*T1^10*T2^3 - 14*T1^11*T2^3 + 
     90*T1^12*T2^3 - 42*T1^13*T2^3 + 54*T2^4 - 60*T1*T2^4 - 136*T1^2*T2^4 + 
     217*T1^3*T2^4 - 508*T1^4*T2^4 + 242*T1^5*T2^4 - 429*T1^6*T2^4 + 
     522*T1^7*T2^4 - 429*T1^8*T2^4 + 242*T1^9*T2^4 - 508*T1^10*T2^4 + 
     217*T1^11*T2^4 - 136*T1^12*T2^4 - 60*T1^13*T2^4 + 54*T1^14*T2^4 - 
     58*T2^5 + 20*T1*T2^5 + 184*T1^2*T2^5 - 67*T1^3*T2^5 + 242*T1^4*T2^5 + 
     322*T1^5*T2^5 + 117*T1^6*T2^5 - 83*T1^7*T2^5 - 83*T1^8*T2^5 + 
     117*T1^9*T2^5 + 322*T1^10*T2^5 + 242*T1^11*T2^5 - 67*T1^12*T2^5 + 
     184*T1^13*T2^5 + 20*T1^14*T2^5 - 58*T1^15*T2^5 + 54*T2^6 + 20*T1*T2^6 - 
     192*T1^2*T2^6 + 8*T1^3*T2^6 - 429*T1^4*T2^6 + 117*T1^5*T2^6 - 
     1252*T1^6*T2^6 + 1137*T1^7*T2^6 - 1070*T1^8*T2^6 + 1137*T1^9*T2^6 - 
     1252*T1^10*T2^6 + 117*T1^11*T2^6 - 429*T1^12*T2^6 + 8*T1^13*T2^6 - 
     192*T1^14*T2^6 + 20*T1^15*T2^6 + 54*T1^16*T2^6 - 42*T2^7 - 60*T1*T2^7 + 
     184*T1^2*T2^7 + 8*T1^3*T2^7 + 522*T1^4*T2^7 - 83*T1^5*T2^7 + 
     1137*T1^6*T2^7 - 212*T1^7*T2^7 + 21*T1^8*T2^7 + 21*T1^9*T2^7 - 
     212*T1^10*T2^7 + 1137*T1^11*T2^7 - 83*T1^12*T2^7 + 522*T1^13*T2^7 + 
     8*T1^14*T2^7 + 184*T1^15*T2^7 - 60*T1^16*T2^7 - 42*T1^17*T2^7 + 
     24*T2^8 + 90*T1*T2^8 - 136*T1^2*T2^8 - 67*T1^3*T2^8 - 429*T1^4*T2^8 - 
     83*T1^5*T2^8 - 1070*T1^6*T2^8 + 21*T1^7*T2^8 - 531*T1^8*T2^8 + 
     737*T1^9*T2^8 - 531*T1^10*T2^8 + 21*T1^11*T2^8 - 1070*T1^12*T2^8 - 
     83*T1^13*T2^8 - 429*T1^14*T2^8 - 67*T1^15*T2^8 - 136*T1^16*T2^8 + 
     90*T1^17*T2^8 + 24*T1^18*T2^8 - 10*T2^9 - 70*T1*T2^9 - 14*T1^2*T2^9 + 
     217*T1^3*T2^9 + 242*T1^4*T2^9 + 117*T1^5*T2^9 + 1137*T1^6*T2^9 + 
     21*T1^7*T2^9 + 737*T1^8*T2^9 - 344*T1^9*T2^9 - 344*T1^10*T2^9 + 
     737*T1^11*T2^9 + 21*T1^12*T2^9 + 1137*T1^13*T2^9 + 117*T1^14*T2^9 + 
     242*T1^15*T2^9 + 217*T1^16*T2^9 - 14*T1^17*T2^9 - 70*T1^18*T2^9 - 
     10*T1^19*T2^9 + 2*T2^10 + 40*T1*T2^10 + 60*T1^2*T2^10 - 40*T1^3*T2^10 - 
     508*T1^4*T2^10 + 322*T1^5*T2^10 - 1252*T1^6*T2^10 - 212*T1^7*T2^10 - 
     531*T1^8*T2^10 - 344*T1^9*T2^10 + 708*T1^10*T2^10 - 344*T1^11*T2^10 - 
     531*T1^12*T2^10 - 212*T1^13*T2^10 - 1252*T1^14*T2^10 + 322*T1^15*T2^10 - 
     508*T1^16*T2^10 - 40*T1^17*T2^10 + 60*T1^18*T2^10 + 40*T1^19*T2^10 + 
     2*T1^20*T2^10 - 10*T1*T2^11 - 70*T1^2*T2^11 - 14*T1^3*T2^11 + 
     217*T1^4*T2^11 + 242*T1^5*T2^11 + 117*T1^6*T2^11 + 1137*T1^7*T2^11 + 
     21*T1^8*T2^11 + 737*T1^9*T2^11 - 344*T1^10*T2^11 - 344*T1^11*T2^11 + 
     737*T1^12*T2^11 + 21*T1^13*T2^11 + 1137*T1^14*T2^11 + 117*T1^15*T2^11 + 
     242*T1^16*T2^11 + 217*T1^17*T2^11 - 14*T1^18*T2^11 - 70*T1^19*T2^11 - 
     10*T1^20*T2^11 + 24*T1^2*T2^12 + 90*T1^3*T2^12 - 136*T1^4*T2^12 - 
     67*T1^5*T2^12 - 429*T1^6*T2^12 - 83*T1^7*T2^12 - 1070*T1^8*T2^12 + 
     21*T1^9*T2^12 - 531*T1^10*T2^12 + 737*T1^11*T2^12 - 531*T1^12*T2^12 + 
     21*T1^13*T2^12 - 1070*T1^14*T2^12 - 83*T1^15*T2^12 - 429*T1^16*T2^12 - 
     67*T1^17*T2^12 - 136*T1^18*T2^12 + 90*T1^19*T2^12 + 24*T1^20*T2^12 - 
     42*T1^3*T2^13 - 60*T1^4*T2^13 + 184*T1^5*T2^13 + 8*T1^6*T2^13 + 
     522*T1^7*T2^13 - 83*T1^8*T2^13 + 1137*T1^9*T2^13 - 212*T1^10*T2^13 + 
     21*T1^11*T2^13 + 21*T1^12*T2^13 - 212*T1^13*T2^13 + 1137*T1^14*T2^13 - 
     83*T1^15*T2^13 + 522*T1^16*T2^13 + 8*T1^17*T2^13 + 184*T1^18*T2^13 - 
     60*T1^19*T2^13 - 42*T1^20*T2^13 + 54*T1^4*T2^14 + 20*T1^5*T2^14 - 
     192*T1^6*T2^14 + 8*T1^7*T2^14 - 429*T1^8*T2^14 + 117*T1^9*T2^14 - 
     1252*T1^10*T2^14 + 1137*T1^11*T2^14 - 1070*T1^12*T2^14 + 
     1137*T1^13*T2^14 - 1252*T1^14*T2^14 + 117*T1^15*T2^14 - 
     429*T1^16*T2^14 + 8*T1^17*T2^14 - 192*T1^18*T2^14 + 20*T1^19*T2^14 + 
     54*T1^20*T2^14 - 58*T1^5*T2^15 + 20*T1^6*T2^15 + 184*T1^7*T2^15 - 
     67*T1^8*T2^15 + 242*T1^9*T2^15 + 322*T1^10*T2^15 + 117*T1^11*T2^15 - 
     83*T1^12*T2^15 - 83*T1^13*T2^15 + 117*T1^14*T2^15 + 322*T1^15*T2^15 + 
     242*T1^16*T2^15 - 67*T1^17*T2^15 + 184*T1^18*T2^15 + 20*T1^19*T2^15 - 
     58*T1^20*T2^15 + 54*T1^6*T2^16 - 60*T1^7*T2^16 - 136*T1^8*T2^16 + 
     217*T1^9*T2^16 - 508*T1^10*T2^16 + 242*T1^11*T2^16 - 429*T1^12*T2^16 + 
     522*T1^13*T2^16 - 429*T1^14*T2^16 + 242*T1^15*T2^16 - 508*T1^16*T2^16 + 
     217*T1^17*T2^16 - 136*T1^18*T2^16 - 60*T1^19*T2^16 + 54*T1^20*T2^16 - 
     42*T1^7*T2^17 + 90*T1^8*T2^17 - 14*T1^9*T2^17 - 40*T1^10*T2^17 + 
     217*T1^11*T2^17 - 67*T1^12*T2^17 + 8*T1^13*T2^17 + 8*T1^14*T2^17 - 
     67*T1^15*T2^17 + 217*T1^16*T2^17 - 40*T1^17*T2^17 - 14*T1^18*T2^17 + 
     90*T1^19*T2^17 - 42*T1^20*T2^17 + 24*T1^8*T2^18 - 70*T1^9*T2^18 + 
     60*T1^10*T2^18 - 14*T1^11*T2^18 - 136*T1^12*T2^18 + 184*T1^13*T2^18 - 
     192*T1^14*T2^18 + 184*T1^15*T2^18 - 136*T1^16*T2^18 - 14*T1^17*T2^18 + 
     60*T1^18*T2^18 - 70*T1^19*T2^18 + 24*T1^20*T2^18 - 10*T1^9*T2^19 + 
     40*T1^10*T2^19 - 70*T1^11*T2^19 + 90*T1^12*T2^19 - 60*T1^13*T2^19 + 
     20*T1^14*T2^19 + 20*T1^15*T2^19 - 60*T1^16*T2^19 + 90*T1^17*T2^19 - 
     70*T1^18*T2^19 + 40*T1^19*T2^19 - 10*T1^20*T2^19 + 2*T1^10*T2^20 - 
     10*T1^11*T2^20 + 24*T1^12*T2^20 - 42*T1^13*T2^20 + 54*T1^14*T2^20 - 
     58*T1^15*T2^20 + 54*T1^16*T2^20 - 42*T1^17*T2^20 + 24*T1^18*T2^20 - 
     10*T1^19*T2^20 + 2*T1^20*T2^20)/(T1^10*T2^10)}, 
 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), (9 - 45*T1 + 103*T1^2 - 165*T1^3 + 191*T1^4 - 165*T1^5 + 
     103*T1^6 - 45*T1^7 + 9*T1^8 - 45*T2 + 180*T1*T2 - 290*T1^2*T2 + 
     310*T1^3*T2 - 130*T1^4*T2 - 130*T1^5*T2 + 310*T1^6*T2 - 290*T1^7*T2 + 
     180*T1^8*T2 - 45*T1^9*T2 + 103*T2^2 - 290*T1*T2^2 + 151*T1^2*T2^2 + 
     202*T1^3*T2^2 - 832*T1^4*T2^2 + 1095*T1^5*T2^2 - 832*T1^6*T2^2 + 
     202*T1^7*T2^2 + 151*T1^8*T2^2 - 290*T1^9*T2^2 + 103*T1^10*T2^2 - 
     165*T2^3 + 310*T1*T2^3 + 202*T1^2*T2^3 - 586*T1^3*T2^3 + 
     1088*T1^4*T2^3 - 485*T1^5*T2^3 - 485*T1^6*T2^3 + 1088*T1^7*T2^3 - 
     586*T1^8*T2^3 + 202*T1^9*T2^3 + 310*T1^10*T2^3 - 165*T1^11*T2^3 + 
     191*T2^4 - 130*T1*T2^4 - 832*T1^2*T2^4 + 1088*T1^3*T2^4 - 
     1630*T1^4*T2^4 + 487*T1^5*T2^4 + 20*T1^6*T2^4 + 487*T1^7*T2^4 - 
     1630*T1^8*T2^4 + 1088*T1^9*T2^4 - 832*T1^10*T2^4 - 130*T1^11*T2^4 + 
     191*T1^12*T2^4 - 165*T2^5 - 130*T1*T2^5 + 1095*T1^2*T2^5 - 
     485*T1^3*T2^5 + 487*T1^4*T2^5 + 1364*T1^5*T2^5 - 742*T1^6*T2^5 - 
     742*T1^7*T2^5 + 1364*T1^8*T2^5 + 487*T1^9*T2^5 - 485*T1^10*T2^5 + 
     1095*T1^11*T2^5 - 130*T1^12*T2^5 - 165*T1^13*T2^5 + 103*T2^6 + 
     310*T1*T2^6 - 832*T1^2*T2^6 - 485*T1^3*T2^6 + 20*T1^4*T2^6 - 
     742*T1^5*T2^6 - 2192*T1^6*T2^6 + 3560*T1^7*T2^6 - 2192*T1^8*T2^6 - 
     742*T1^9*T2^6 + 20*T1^10*T2^6 - 485*T1^11*T2^6 - 832*T1^12*T2^6 + 
     310*T1^13*T2^6 + 103*T1^14*T2^6 - 45*T2^7 - 290*T1*T2^7 + 
     202*T1^2*T2^7 + 1088*T1^3*T2^7 + 487*T1^4*T2^7 - 742*T1^5*T2^7 + 
     3560*T1^6*T2^7 - 1772*T1^7*T2^7 - 1772*T1^8*T2^7 + 3560*T1^9*T2^7 - 
     742*T1^10*T2^7 + 487*T1^11*T2^7 + 1088*T1^12*T2^7 + 202*T1^13*T2^7 - 
     290*T1^14*T2^7 - 45*T1^15*T2^7 + 9*T2^8 + 180*T1*T2^8 + 151*T1^2*T2^8 - 
     586*T1^3*T2^8 - 1630*T1^4*T2^8 + 1364*T1^5*T2^8 - 2192*T1^6*T2^8 - 
     1772*T1^7*T2^8 + 3648*T1^8*T2^8 - 1772*T1^9*T2^8 - 2192*T1^10*T2^8 + 
     1364*T1^11*T2^8 - 1630*T1^12*T2^8 - 586*T1^13*T2^8 + 151*T1^14*T2^8 + 
     180*T1^15*T2^8 + 9*T1^16*T2^8 - 45*T1*T2^9 - 290*T1^2*T2^9 + 
     202*T1^3*T2^9 + 1088*T1^4*T2^9 + 487*T1^5*T2^9 - 742*T1^6*T2^9 + 
     3560*T1^7*T2^9 - 1772*T1^8*T2^9 - 1772*T1^9*T2^9 + 3560*T1^10*T2^9 - 
     742*T1^11*T2^9 + 487*T1^12*T2^9 + 1088*T1^13*T2^9 + 202*T1^14*T2^9 - 
     290*T1^15*T2^9 - 45*T1^16*T2^9 + 103*T1^2*T2^10 + 310*T1^3*T2^10 - 
     832*T1^4*T2^10 - 485*T1^5*T2^10 + 20*T1^6*T2^10 - 742*T1^7*T2^10 - 
     2192*T1^8*T2^10 + 3560*T1^9*T2^10 - 2192*T1^10*T2^10 - 742*T1^11*T2^10 + 
     20*T1^12*T2^10 - 485*T1^13*T2^10 - 832*T1^14*T2^10 + 310*T1^15*T2^10 + 
     103*T1^16*T2^10 - 165*T1^3*T2^11 - 130*T1^4*T2^11 + 1095*T1^5*T2^11 - 
     485*T1^6*T2^11 + 487*T1^7*T2^11 + 1364*T1^8*T2^11 - 742*T1^9*T2^11 - 
     742*T1^10*T2^11 + 1364*T1^11*T2^11 + 487*T1^12*T2^11 - 485*T1^13*T2^11 + 
     1095*T1^14*T2^11 - 130*T1^15*T2^11 - 165*T1^16*T2^11 + 191*T1^4*T2^12 - 
     130*T1^5*T2^12 - 832*T1^6*T2^12 + 1088*T1^7*T2^12 - 1630*T1^8*T2^12 + 
     487*T1^9*T2^12 + 20*T1^10*T2^12 + 487*T1^11*T2^12 - 1630*T1^12*T2^12 + 
     1088*T1^13*T2^12 - 832*T1^14*T2^12 - 130*T1^15*T2^12 + 191*T1^16*T2^12 - 
     165*T1^5*T2^13 + 310*T1^6*T2^13 + 202*T1^7*T2^13 - 586*T1^8*T2^13 + 
     1088*T1^9*T2^13 - 485*T1^10*T2^13 - 485*T1^11*T2^13 + 1088*T1^12*T2^13 - 
     586*T1^13*T2^13 + 202*T1^14*T2^13 + 310*T1^15*T2^13 - 165*T1^16*T2^13 + 
     103*T1^6*T2^14 - 290*T1^7*T2^14 + 151*T1^8*T2^14 + 202*T1^9*T2^14 - 
     832*T1^10*T2^14 + 1095*T1^11*T2^14 - 832*T1^12*T2^14 + 202*T1^13*T2^14 + 
     151*T1^14*T2^14 - 290*T1^15*T2^14 + 103*T1^16*T2^14 - 45*T1^7*T2^15 + 
     180*T1^8*T2^15 - 290*T1^9*T2^15 + 310*T1^10*T2^15 - 130*T1^11*T2^15 - 
     130*T1^12*T2^15 + 310*T1^13*T2^15 - 290*T1^14*T2^15 + 180*T1^15*T2^15 - 
     45*T1^16*T2^15 + 9*T1^8*T2^16 - 45*T1^9*T2^16 + 103*T1^10*T2^16 - 
     165*T1^11*T2^16 + 191*T1^12*T2^16 - 165*T1^13*T2^16 + 103*T1^14*T2^16 - 
     45*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8)}, 
 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), (9 - 49*T1 + 119*T1^2 - 197*T1^3 + 231*T1^4 - 197*T1^5 + 
     119*T1^6 - 49*T1^7 + 9*T1^8 - 49*T2 + 218*T1*T2 - 382*T1^2*T2 + 
     426*T1^3*T2 - 186*T1^4*T2 - 186*T1^5*T2 + 426*T1^6*T2 - 382*T1^7*T2 + 
     218*T1^8*T2 - 49*T1^9*T2 + 119*T2^2 - 382*T1*T2^2 + 234*T1^2*T2^2 + 
     313*T1^3*T2^2 - 1304*T1^4*T2^2 + 1764*T1^5*T2^2 - 1304*T1^6*T2^2 + 
     313*T1^7*T2^2 + 234*T1^8*T2^2 - 382*T1^9*T2^2 + 119*T1^10*T2^2 - 
     197*T2^3 + 426*T1*T2^3 + 313*T1^2*T2^3 - 1076*T1^3*T2^3 + 
     1892*T1^4*T2^3 - 902*T1^5*T2^3 - 902*T1^6*T2^3 + 1892*T1^7*T2^3 - 
     1076*T1^8*T2^3 + 313*T1^9*T2^3 + 426*T1^10*T2^3 - 197*T1^11*T2^3 + 
     231*T2^4 - 186*T1*T2^4 - 1304*T1^2*T2^4 + 1892*T1^3*T2^4 - 
     2541*T1^4*T2^4 + 543*T1^5*T2^4 + 533*T1^6*T2^4 + 543*T1^7*T2^4 - 
     2541*T1^8*T2^4 + 1892*T1^9*T2^4 - 1304*T1^10*T2^4 - 186*T1^11*T2^4 + 
     231*T1^12*T2^4 - 197*T2^5 - 186*T1*T2^5 + 1764*T1^2*T2^5 - 
     902*T1^3*T2^5 + 543*T1^4*T2^5 + 2516*T1^5*T2^5 - 1487*T1^6*T2^5 - 
     1487*T1^7*T2^5 + 2516*T1^8*T2^5 + 543*T1^9*T2^5 - 902*T1^10*T2^5 + 
     1764*T1^11*T2^5 - 186*T1^12*T2^5 - 197*T1^13*T2^5 + 119*T2^6 + 
     426*T1*T2^6 - 1304*T1^2*T2^6 - 902*T1^3*T2^6 + 533*T1^4*T2^6 - 
     1487*T1^5*T2^6 - 3815*T1^6*T2^6 + 6651*T1^7*T2^6 - 3815*T1^8*T2^6 - 
     1487*T1^9*T2^6 + 533*T1^10*T2^6 - 902*T1^11*T2^6 - 1304*T1^12*T2^6 + 
     426*T1^13*T2^6 + 119*T1^14*T2^6 - 49*T2^7 - 382*T1*T2^7 + 
     313*T1^2*T2^7 + 1892*T1^3*T2^7 + 543*T1^4*T2^7 - 1487*T1^5*T2^7 + 
     6651*T1^6*T2^7 - 3548*T1^7*T2^7 - 3548*T1^8*T2^7 + 6651*T1^9*T2^7 - 
     1487*T1^10*T2^7 + 543*T1^11*T2^7 + 1892*T1^12*T2^7 + 313*T1^13*T2^7 - 
     382*T1^14*T2^7 - 49*T1^15*T2^7 + 9*T2^8 + 218*T1*T2^8 + 234*T1^2*T2^8 - 
     1076*T1^3*T2^8 - 2541*T1^4*T2^8 + 2516*T1^5*T2^8 - 3815*T1^6*T2^8 - 
     3548*T1^7*T2^8 + 7512*T1^8*T2^8 - 3548*T1^9*T2^8 - 3815*T1^10*T2^8 + 
     2516*T1^11*T2^8 - 2541*T1^12*T2^8 - 1076*T1^13*T2^8 + 234*T1^14*T2^8 + 
     218*T1^15*T2^8 + 9*T1^16*T2^8 - 49*T1*T2^9 - 382*T1^2*T2^9 + 
     313*T1^3*T2^9 + 1892*T1^4*T2^9 + 543*T1^5*T2^9 - 1487*T1^6*T2^9 + 
     6651*T1^7*T2^9 - 3548*T1^8*T2^9 - 3548*T1^9*T2^9 + 6651*T1^10*T2^9 - 
     1487*T1^11*T2^9 + 543*T1^12*T2^9 + 1892*T1^13*T2^9 + 313*T1^14*T2^9 - 
     382*T1^15*T2^9 - 49*T1^16*T2^9 + 119*T1^2*T2^10 + 426*T1^3*T2^10 - 
     1304*T1^4*T2^10 - 902*T1^5*T2^10 + 533*T1^6*T2^10 - 1487*T1^7*T2^10 - 
     3815*T1^8*T2^10 + 6651*T1^9*T2^10 - 3815*T1^10*T2^10 - 
     1487*T1^11*T2^10 + 533*T1^12*T2^10 - 902*T1^13*T2^10 - 
     1304*T1^14*T2^10 + 426*T1^15*T2^10 + 119*T1^16*T2^10 - 197*T1^3*T2^11 - 
     186*T1^4*T2^11 + 1764*T1^5*T2^11 - 902*T1^6*T2^11 + 543*T1^7*T2^11 + 
     2516*T1^8*T2^11 - 1487*T1^9*T2^11 - 1487*T1^10*T2^11 + 
     2516*T1^11*T2^11 + 543*T1^12*T2^11 - 902*T1^13*T2^11 + 
     1764*T1^14*T2^11 - 186*T1^15*T2^11 - 197*T1^16*T2^11 + 231*T1^4*T2^12 - 
     186*T1^5*T2^12 - 1304*T1^6*T2^12 + 1892*T1^7*T2^12 - 2541*T1^8*T2^12 + 
     543*T1^9*T2^12 + 533*T1^10*T2^12 + 543*T1^11*T2^12 - 2541*T1^12*T2^12 + 
     1892*T1^13*T2^12 - 1304*T1^14*T2^12 - 186*T1^15*T2^12 + 
     231*T1^16*T2^12 - 197*T1^5*T2^13 + 426*T1^6*T2^13 + 313*T1^7*T2^13 - 
     1076*T1^8*T2^13 + 1892*T1^9*T2^13 - 902*T1^10*T2^13 - 902*T1^11*T2^13 + 
     1892*T1^12*T2^13 - 1076*T1^13*T2^13 + 313*T1^14*T2^13 + 
     426*T1^15*T2^13 - 197*T1^16*T2^13 + 119*T1^6*T2^14 - 382*T1^7*T2^14 + 
     234*T1^8*T2^14 + 313*T1^9*T2^14 - 1304*T1^10*T2^14 + 1764*T1^11*T2^14 - 
     1304*T1^12*T2^14 + 313*T1^13*T2^14 + 234*T1^14*T2^14 - 382*T1^15*T2^14 + 
     119*T1^16*T2^14 - 49*T1^7*T2^15 + 218*T1^8*T2^15 - 382*T1^9*T2^15 + 
     426*T1^10*T2^15 - 186*T1^11*T2^15 - 186*T1^12*T2^15 + 426*T1^13*T2^15 - 
     382*T1^14*T2^15 + 218*T1^15*T2^15 - 49*T1^16*T2^15 + 9*T1^8*T2^16 - 
     49*T1^9*T2^16 + 119*T1^10*T2^16 - 197*T1^11*T2^16 + 231*T1^12*T2^16 - 
     197*T1^13*T2^16 + 119*T1^14*T2^16 - 49*T1^15*T2^16 + 9*T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 872] -> 
  {-((4 - 21*T + 45*T^2 - 57*T^3 + 45*T^4 - 21*T^5 + 4*T^6)/T^3), 
   (16 - 84*T1 + 180*T1^2 - 232*T1^3 + 180*T1^4 - 84*T1^5 + 16*T1^6 - 84*T2 + 
     358*T1*T2 - 506*T1^2*T2 + 274*T1^3*T2 + 274*T1^4*T2 - 506*T1^5*T2 + 
     358*T1^6*T2 - 84*T1^7*T2 + 180*T2^2 - 506*T1*T2^2 - 104*T1^2*T2^2 + 
     1320*T1^3*T2^2 - 2204*T1^4*T2^2 + 1320*T1^5*T2^2 - 104*T1^6*T2^2 - 
     506*T1^7*T2^2 + 180*T1^8*T2^2 - 232*T2^3 + 274*T1*T2^3 + 
     1320*T1^2*T2^3 - 1924*T1^3*T2^3 + 1255*T1^4*T2^3 + 1255*T1^5*T2^3 - 
     1924*T1^6*T2^3 + 1320*T1^7*T2^3 + 274*T1^8*T2^3 - 232*T1^9*T2^3 + 
     180*T2^4 + 274*T1*T2^4 - 2204*T1^2*T2^4 + 1255*T1^3*T2^4 - 
     1505*T1^4*T2^4 + 815*T1^5*T2^4 - 1505*T1^6*T2^4 + 1255*T1^7*T2^4 - 
     2204*T1^8*T2^4 + 274*T1^9*T2^4 + 180*T1^10*T2^4 - 84*T2^5 - 
     506*T1*T2^5 + 1320*T1^2*T2^5 + 1255*T1^3*T2^5 + 815*T1^4*T2^5 - 
     186*T1^5*T2^5 - 186*T1^6*T2^5 + 815*T1^7*T2^5 + 1255*T1^8*T2^5 + 
     1320*T1^9*T2^5 - 506*T1^10*T2^5 - 84*T1^11*T2^5 + 16*T2^6 + 
     358*T1*T2^6 - 104*T1^2*T2^6 - 1924*T1^3*T2^6 - 1505*T1^4*T2^6 - 
     186*T1^5*T2^6 + 528*T1^6*T2^6 - 186*T1^7*T2^6 - 1505*T1^8*T2^6 - 
     1924*T1^9*T2^6 - 104*T1^10*T2^6 + 358*T1^11*T2^6 + 16*T1^12*T2^6 - 
     84*T1*T2^7 - 506*T1^2*T2^7 + 1320*T1^3*T2^7 + 1255*T1^4*T2^7 + 
     815*T1^5*T2^7 - 186*T1^6*T2^7 - 186*T1^7*T2^7 + 815*T1^8*T2^7 + 
     1255*T1^9*T2^7 + 1320*T1^10*T2^7 - 506*T1^11*T2^7 - 84*T1^12*T2^7 + 
     180*T1^2*T2^8 + 274*T1^3*T2^8 - 2204*T1^4*T2^8 + 1255*T1^5*T2^8 - 
     1505*T1^6*T2^8 + 815*T1^7*T2^8 - 1505*T1^8*T2^8 + 1255*T1^9*T2^8 - 
     2204*T1^10*T2^8 + 274*T1^11*T2^8 + 180*T1^12*T2^8 - 232*T1^3*T2^9 + 
     274*T1^4*T2^9 + 1320*T1^5*T2^9 - 1924*T1^6*T2^9 + 1255*T1^7*T2^9 + 
     1255*T1^8*T2^9 - 1924*T1^9*T2^9 + 1320*T1^10*T2^9 + 274*T1^11*T2^9 - 
     232*T1^12*T2^9 + 180*T1^4*T2^10 - 506*T1^5*T2^10 - 104*T1^6*T2^10 + 
     1320*T1^7*T2^10 - 2204*T1^8*T2^10 + 1320*T1^9*T2^10 - 104*T1^10*T2^10 - 
     506*T1^11*T2^10 + 180*T1^12*T2^10 - 84*T1^5*T2^11 + 358*T1^6*T2^11 - 
     506*T1^7*T2^11 + 274*T1^8*T2^11 + 274*T1^9*T2^11 - 506*T1^10*T2^11 + 
     358*T1^11*T2^11 - 84*T1^12*T2^11 + 16*T1^6*T2^12 - 84*T1^7*T2^12 + 
     180*T1^8*T2^12 - 232*T1^9*T2^12 + 180*T1^10*T2^12 - 84*T1^11*T2^12 + 
     16*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 873] -> 
  {-((5 - 22*T + 42*T^2 - 51*T^3 + 42*T^4 - 22*T^5 + 5*T^6)/T^3), 
   -((20 - 85*T1 + 163*T1^2 - 208*T1^3 + 163*T1^4 - 85*T1^5 + 20*T1^6 - 
      85*T2 + 282*T1*T2 - 341*T1^2*T2 + 192*T1^3*T2 + 192*T1^4*T2 - 
      341*T1^5*T2 + 282*T1^6*T2 - 85*T1^7*T2 + 163*T2^2 - 341*T1*T2^2 + 
      25*T1^2*T2^2 + 199*T1^3*T2^2 - 495*T1^4*T2^2 + 199*T1^5*T2^2 + 
      25*T1^6*T2^2 - 341*T1^7*T2^2 + 163*T1^8*T2^2 - 208*T2^3 + 192*T1*T2^3 + 
      199*T1^2*T2^3 + 768*T1^3*T2^3 - 348*T1^4*T2^3 - 348*T1^5*T2^3 + 
      768*T1^6*T2^3 + 199*T1^7*T2^3 + 192*T1^8*T2^3 - 208*T1^9*T2^3 + 
      163*T2^4 + 192*T1*T2^4 - 495*T1^2*T2^4 - 348*T1^3*T2^4 - 
      4479*T1^4*T2^4 + 7247*T1^5*T2^4 - 4479*T1^6*T2^4 - 348*T1^7*T2^4 - 
      495*T1^8*T2^4 + 192*T1^9*T2^4 + 163*T1^10*T2^4 - 85*T2^5 - 
      341*T1*T2^5 + 199*T1^2*T2^5 - 348*T1^3*T2^5 + 7247*T1^4*T2^5 - 
      4488*T1^5*T2^5 - 4488*T1^6*T2^5 + 7247*T1^7*T2^5 - 348*T1^8*T2^5 + 
      199*T1^9*T2^5 - 341*T1^10*T2^5 - 85*T1^11*T2^5 + 20*T2^6 + 
      282*T1*T2^6 + 25*T1^2*T2^6 + 768*T1^3*T2^6 - 4479*T1^4*T2^6 - 
      4488*T1^5*T2^6 + 10608*T1^6*T2^6 - 4488*T1^7*T2^6 - 4479*T1^8*T2^6 + 
      768*T1^9*T2^6 + 25*T1^10*T2^6 + 282*T1^11*T2^6 + 20*T1^12*T2^6 - 
      85*T1*T2^7 - 341*T1^2*T2^7 + 199*T1^3*T2^7 - 348*T1^4*T2^7 + 
      7247*T1^5*T2^7 - 4488*T1^6*T2^7 - 4488*T1^7*T2^7 + 7247*T1^8*T2^7 - 
      348*T1^9*T2^7 + 199*T1^10*T2^7 - 341*T1^11*T2^7 - 85*T1^12*T2^7 + 
      163*T1^2*T2^8 + 192*T1^3*T2^8 - 495*T1^4*T2^8 - 348*T1^5*T2^8 - 
      4479*T1^6*T2^8 + 7247*T1^7*T2^8 - 4479*T1^8*T2^8 - 348*T1^9*T2^8 - 
      495*T1^10*T2^8 + 192*T1^11*T2^8 + 163*T1^12*T2^8 - 208*T1^3*T2^9 + 
      192*T1^4*T2^9 + 199*T1^5*T2^9 + 768*T1^6*T2^9 - 348*T1^7*T2^9 - 
      348*T1^8*T2^9 + 768*T1^9*T2^9 + 199*T1^10*T2^9 + 192*T1^11*T2^9 - 
      208*T1^12*T2^9 + 163*T1^4*T2^10 - 341*T1^5*T2^10 + 25*T1^6*T2^10 + 
      199*T1^7*T2^10 - 495*T1^8*T2^10 + 199*T1^9*T2^10 + 25*T1^10*T2^10 - 
      341*T1^11*T2^10 + 163*T1^12*T2^10 - 85*T1^5*T2^11 + 282*T1^6*T2^11 - 
      341*T1^7*T2^11 + 192*T1^8*T2^11 + 192*T1^9*T2^11 - 341*T1^10*T2^11 + 
      282*T1^11*T2^11 - 85*T1^12*T2^11 + 20*T1^6*T2^12 - 85*T1^7*T2^12 + 
      163*T1^8*T2^12 - 208*T1^9*T2^12 + 163*T1^10*T2^12 - 85*T1^11*T2^12 + 
      20*T1^12*T2^12)/(T1^6*T2^6))}, 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), (9 - 53*T1 + 143*T1^2 - 253*T1^3 + 303*T1^4 - 253*T1^5 + 
     143*T1^6 - 53*T1^7 + 9*T1^8 - 53*T2 + 260*T1*T2 - 533*T1^2*T2 + 
     651*T1^3*T2 - 296*T1^4*T2 - 296*T1^5*T2 + 651*T1^6*T2 - 533*T1^7*T2 + 
     260*T1^8*T2 - 53*T1^9*T2 + 143*T2^2 - 533*T1*T2^2 + 572*T1^2*T2^2 + 
     157*T1^3*T2^2 - 1825*T1^4*T2^2 + 2650*T1^5*T2^2 - 1825*T1^6*T2^2 + 
     157*T1^7*T2^2 + 572*T1^8*T2^2 - 533*T1^9*T2^2 + 143*T1^10*T2^2 - 
     253*T2^3 + 651*T1*T2^3 + 157*T1^2*T2^3 - 1826*T1^3*T2^3 + 
     3662*T1^4*T2^3 - 1813*T1^5*T2^3 - 1813*T1^6*T2^3 + 3662*T1^7*T2^3 - 
     1826*T1^8*T2^3 + 157*T1^9*T2^3 + 651*T1^10*T2^3 - 253*T1^11*T2^3 + 
     303*T2^4 - 296*T1*T2^4 - 1825*T1^2*T2^4 + 3662*T1^3*T2^4 - 
     4143*T1^4*T2^4 - 1229*T1^5*T2^4 + 4049*T1^6*T2^4 - 1229*T1^7*T2^4 - 
     4143*T1^8*T2^4 + 3662*T1^9*T2^4 - 1825*T1^10*T2^4 - 296*T1^11*T2^4 + 
     303*T1^12*T2^4 - 253*T2^5 - 296*T1*T2^5 + 2650*T1^2*T2^5 - 
     1813*T1^3*T2^5 - 1229*T1^4*T2^5 + 8468*T1^5*T2^5 - 4522*T1^6*T2^5 - 
     4522*T1^7*T2^5 + 8468*T1^8*T2^5 - 1229*T1^9*T2^5 - 1813*T1^10*T2^5 + 
     2650*T1^11*T2^5 - 296*T1^12*T2^5 - 253*T1^13*T2^5 + 143*T2^6 + 
     651*T1*T2^6 - 1825*T1^2*T2^6 - 1813*T1^3*T2^6 + 4049*T1^4*T2^6 - 
     4522*T1^5*T2^6 - 10605*T1^6*T2^6 + 18243*T1^7*T2^6 - 10605*T1^8*T2^6 - 
     4522*T1^9*T2^6 + 4049*T1^10*T2^6 - 1813*T1^11*T2^6 - 1825*T1^12*T2^6 + 
     651*T1^13*T2^6 + 143*T1^14*T2^6 - 53*T2^7 - 533*T1*T2^7 + 
     157*T1^2*T2^7 + 3662*T1^3*T2^7 - 1229*T1^4*T2^7 - 4522*T1^5*T2^7 + 
     18243*T1^6*T2^7 - 9432*T1^7*T2^7 - 9432*T1^8*T2^7 + 18243*T1^9*T2^7 - 
     4522*T1^10*T2^7 - 1229*T1^11*T2^7 + 3662*T1^12*T2^7 + 157*T1^13*T2^7 - 
     533*T1^14*T2^7 - 53*T1^15*T2^7 + 9*T2^8 + 260*T1*T2^8 + 572*T1^2*T2^8 - 
     1826*T1^3*T2^8 - 4143*T1^4*T2^8 + 8468*T1^5*T2^8 - 10605*T1^6*T2^8 - 
     9432*T1^7*T2^8 + 19644*T1^8*T2^8 - 9432*T1^9*T2^8 - 10605*T1^10*T2^8 + 
     8468*T1^11*T2^8 - 4143*T1^12*T2^8 - 1826*T1^13*T2^8 + 572*T1^14*T2^8 + 
     260*T1^15*T2^8 + 9*T1^16*T2^8 - 53*T1*T2^9 - 533*T1^2*T2^9 + 
     157*T1^3*T2^9 + 3662*T1^4*T2^9 - 1229*T1^5*T2^9 - 4522*T1^6*T2^9 + 
     18243*T1^7*T2^9 - 9432*T1^8*T2^9 - 9432*T1^9*T2^9 + 18243*T1^10*T2^9 - 
     4522*T1^11*T2^9 - 1229*T1^12*T2^9 + 3662*T1^13*T2^9 + 157*T1^14*T2^9 - 
     533*T1^15*T2^9 - 53*T1^16*T2^9 + 143*T1^2*T2^10 + 651*T1^3*T2^10 - 
     1825*T1^4*T2^10 - 1813*T1^5*T2^10 + 4049*T1^6*T2^10 - 4522*T1^7*T2^10 - 
     10605*T1^8*T2^10 + 18243*T1^9*T2^10 - 10605*T1^10*T2^10 - 
     4522*T1^11*T2^10 + 4049*T1^12*T2^10 - 1813*T1^13*T2^10 - 
     1825*T1^14*T2^10 + 651*T1^15*T2^10 + 143*T1^16*T2^10 - 253*T1^3*T2^11 - 
     296*T1^4*T2^11 + 2650*T1^5*T2^11 - 1813*T1^6*T2^11 - 1229*T1^7*T2^11 + 
     8468*T1^8*T2^11 - 4522*T1^9*T2^11 - 4522*T1^10*T2^11 + 
     8468*T1^11*T2^11 - 1229*T1^12*T2^11 - 1813*T1^13*T2^11 + 
     2650*T1^14*T2^11 - 296*T1^15*T2^11 - 253*T1^16*T2^11 + 303*T1^4*T2^12 - 
     296*T1^5*T2^12 - 1825*T1^6*T2^12 + 3662*T1^7*T2^12 - 4143*T1^8*T2^12 - 
     1229*T1^9*T2^12 + 4049*T1^10*T2^12 - 1229*T1^11*T2^12 - 
     4143*T1^12*T2^12 + 3662*T1^13*T2^12 - 1825*T1^14*T2^12 - 
     296*T1^15*T2^12 + 303*T1^16*T2^12 - 253*T1^5*T2^13 + 651*T1^6*T2^13 + 
     157*T1^7*T2^13 - 1826*T1^8*T2^13 + 3662*T1^9*T2^13 - 1813*T1^10*T2^13 - 
     1813*T1^11*T2^13 + 3662*T1^12*T2^13 - 1826*T1^13*T2^13 + 
     157*T1^14*T2^13 + 651*T1^15*T2^13 - 253*T1^16*T2^13 + 143*T1^6*T2^14 - 
     533*T1^7*T2^14 + 572*T1^8*T2^14 + 157*T1^9*T2^14 - 1825*T1^10*T2^14 + 
     2650*T1^11*T2^14 - 1825*T1^12*T2^14 + 157*T1^13*T2^14 + 
     572*T1^14*T2^14 - 533*T1^15*T2^14 + 143*T1^16*T2^14 - 53*T1^7*T2^15 + 
     260*T1^8*T2^15 - 533*T1^9*T2^15 + 651*T1^10*T2^15 - 296*T1^11*T2^15 - 
     296*T1^12*T2^15 + 651*T1^13*T2^15 - 533*T1^14*T2^15 + 260*T1^15*T2^15 - 
     53*T1^16*T2^15 + 9*T1^8*T2^16 - 53*T1^9*T2^16 + 143*T1^10*T2^16 - 
     253*T1^11*T2^16 + 303*T1^12*T2^16 - 253*T1^13*T2^16 + 143*T1^14*T2^16 - 
     53*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 875] -> 
  {(5 - 29*T + 72*T^2 - 95*T^3 + 72*T^4 - 29*T^5 + 5*T^6)/T^3, 
   (145 - 830*T1 + 2035*T1^2 - 2663*T1^3 + 2035*T1^4 - 830*T1^5 + 145*T1^6 - 
     830*T2 + 3938*T1*T2 - 6951*T1^2*T2 + 3636*T1^3*T2 + 3636*T1^4*T2 - 
     6951*T1^5*T2 + 3938*T1^6*T2 - 830*T1^7*T2 + 2035*T2^2 - 6951*T1*T2^2 + 
     3425*T1^2*T2^2 + 18124*T1^3*T2^2 - 31081*T1^4*T2^2 + 18124*T1^5*T2^2 + 
     3425*T1^6*T2^2 - 6951*T1^7*T2^2 + 2035*T1^8*T2^2 - 2663*T2^3 + 
     3636*T1*T2^3 + 18124*T1^2*T2^3 - 52434*T1^3*T2^3 + 29803*T1^4*T2^3 + 
     29803*T1^5*T2^3 - 52434*T1^6*T2^3 + 18124*T1^7*T2^3 + 3636*T1^8*T2^3 - 
     2663*T1^9*T2^3 + 2035*T2^4 + 3636*T1*T2^4 - 31081*T1^2*T2^4 + 
     29803*T1^3*T2^4 + 67191*T1^4*T2^4 - 127639*T1^5*T2^4 + 67191*T1^6*T2^4 + 
     29803*T1^7*T2^4 - 31081*T1^8*T2^4 + 3636*T1^9*T2^4 + 2035*T1^10*T2^4 - 
     830*T2^5 - 6951*T1*T2^5 + 18124*T1^2*T2^5 + 29803*T1^3*T2^5 - 
     127639*T1^4*T2^5 + 75270*T1^5*T2^5 + 75270*T1^6*T2^5 - 
     127639*T1^7*T2^5 + 29803*T1^8*T2^5 + 18124*T1^9*T2^5 - 6951*T1^10*T2^5 - 
     830*T1^11*T2^5 + 145*T2^6 + 3938*T1*T2^6 + 3425*T1^2*T2^6 - 
     52434*T1^3*T2^6 + 67191*T1^4*T2^6 + 75270*T1^5*T2^6 - 166716*T1^6*T2^6 + 
     75270*T1^7*T2^6 + 67191*T1^8*T2^6 - 52434*T1^9*T2^6 + 3425*T1^10*T2^6 + 
     3938*T1^11*T2^6 + 145*T1^12*T2^6 - 830*T1*T2^7 - 6951*T1^2*T2^7 + 
     18124*T1^3*T2^7 + 29803*T1^4*T2^7 - 127639*T1^5*T2^7 + 75270*T1^6*T2^7 + 
     75270*T1^7*T2^7 - 127639*T1^8*T2^7 + 29803*T1^9*T2^7 + 
     18124*T1^10*T2^7 - 6951*T1^11*T2^7 - 830*T1^12*T2^7 + 2035*T1^2*T2^8 + 
     3636*T1^3*T2^8 - 31081*T1^4*T2^8 + 29803*T1^5*T2^8 + 67191*T1^6*T2^8 - 
     127639*T1^7*T2^8 + 67191*T1^8*T2^8 + 29803*T1^9*T2^8 - 
     31081*T1^10*T2^8 + 3636*T1^11*T2^8 + 2035*T1^12*T2^8 - 2663*T1^3*T2^9 + 
     3636*T1^4*T2^9 + 18124*T1^5*T2^9 - 52434*T1^6*T2^9 + 29803*T1^7*T2^9 + 
     29803*T1^8*T2^9 - 52434*T1^9*T2^9 + 18124*T1^10*T2^9 + 3636*T1^11*T2^9 - 
     2663*T1^12*T2^9 + 2035*T1^4*T2^10 - 6951*T1^5*T2^10 + 3425*T1^6*T2^10 + 
     18124*T1^7*T2^10 - 31081*T1^8*T2^10 + 18124*T1^9*T2^10 + 
     3425*T1^10*T2^10 - 6951*T1^11*T2^10 + 2035*T1^12*T2^10 - 
     830*T1^5*T2^11 + 3938*T1^6*T2^11 - 6951*T1^7*T2^11 + 3636*T1^8*T2^11 + 
     3636*T1^9*T2^11 - 6951*T1^10*T2^11 + 3938*T1^11*T2^11 - 
     830*T1^12*T2^11 + 145*T1^6*T2^12 - 830*T1^7*T2^12 + 2035*T1^8*T2^12 - 
     2663*T1^9*T2^12 + 2035*T1^10*T2^12 - 830*T1^11*T2^12 + 145*T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   (111 - 292*T1 + 471*T1^2 - 650*T1^3 + 759*T1^4 - 650*T1^5 + 471*T1^6 - 
     292*T1^7 + 111*T1^8 - 292*T2 + 480*T1*T2 - 477*T1^2*T2 + 477*T1^3*T2 - 
     289*T1^4*T2 - 289*T1^5*T2 + 477*T1^6*T2 - 477*T1^7*T2 + 480*T1^8*T2 - 
     292*T1^9*T2 + 471*T2^2 - 477*T1*T2^2 + 397*T1^2*T2^2 - 591*T1^3*T2^2 + 
     492*T1^4*T2^2 - 13*T1^5*T2^2 + 492*T1^6*T2^2 - 591*T1^7*T2^2 + 
     397*T1^8*T2^2 - 477*T1^9*T2^2 + 471*T1^10*T2^2 - 650*T2^3 + 
     477*T1*T2^3 - 591*T1^2*T2^3 + 920*T1^3*T2^3 - 538*T1^4*T2^3 - 
     220*T1^5*T2^3 - 220*T1^6*T2^3 - 538*T1^7*T2^3 + 920*T1^8*T2^3 - 
     591*T1^9*T2^3 + 477*T1^10*T2^3 - 650*T1^11*T2^3 + 759*T2^4 - 
     289*T1*T2^4 + 492*T1^2*T2^4 - 538*T1^3*T2^4 - 199*T1^4*T2^4 + 
     856*T1^5*T2^4 - 59*T1^6*T2^4 + 856*T1^7*T2^4 - 199*T1^8*T2^4 - 
     538*T1^9*T2^4 + 492*T1^10*T2^4 - 289*T1^11*T2^4 + 759*T1^12*T2^4 - 
     650*T2^5 - 289*T1*T2^5 - 13*T1^2*T2^5 - 220*T1^3*T2^5 + 856*T1^4*T2^5 - 
     844*T1^5*T2^5 - 413*T1^6*T2^5 - 413*T1^7*T2^5 - 844*T1^8*T2^5 + 
     856*T1^9*T2^5 - 220*T1^10*T2^5 - 13*T1^11*T2^5 - 289*T1^12*T2^5 - 
     650*T1^13*T2^5 + 471*T2^6 + 477*T1*T2^6 + 492*T1^2*T2^6 - 
     220*T1^3*T2^6 - 59*T1^4*T2^6 - 413*T1^5*T2^6 + 1163*T1^6*T2^6 + 
     301*T1^7*T2^6 + 1163*T1^8*T2^6 - 413*T1^9*T2^6 - 59*T1^10*T2^6 - 
     220*T1^11*T2^6 + 492*T1^12*T2^6 + 477*T1^13*T2^6 + 471*T1^14*T2^6 - 
     292*T2^7 - 477*T1*T2^7 - 591*T1^2*T2^7 - 538*T1^3*T2^7 + 856*T1^4*T2^7 - 
     413*T1^5*T2^7 + 301*T1^6*T2^7 - 1260*T1^7*T2^7 - 1260*T1^8*T2^7 + 
     301*T1^9*T2^7 - 413*T1^10*T2^7 + 856*T1^11*T2^7 - 538*T1^12*T2^7 - 
     591*T1^13*T2^7 - 477*T1^14*T2^7 - 292*T1^15*T2^7 + 111*T2^8 + 
     480*T1*T2^8 + 397*T1^2*T2^8 + 920*T1^3*T2^8 - 199*T1^4*T2^8 - 
     844*T1^5*T2^8 + 1163*T1^6*T2^8 - 1260*T1^7*T2^8 + 3552*T1^8*T2^8 - 
     1260*T1^9*T2^8 + 1163*T1^10*T2^8 - 844*T1^11*T2^8 - 199*T1^12*T2^8 + 
     920*T1^13*T2^8 + 397*T1^14*T2^8 + 480*T1^15*T2^8 + 111*T1^16*T2^8 - 
     292*T1*T2^9 - 477*T1^2*T2^9 - 591*T1^3*T2^9 - 538*T1^4*T2^9 + 
     856*T1^5*T2^9 - 413*T1^6*T2^9 + 301*T1^7*T2^9 - 1260*T1^8*T2^9 - 
     1260*T1^9*T2^9 + 301*T1^10*T2^9 - 413*T1^11*T2^9 + 856*T1^12*T2^9 - 
     538*T1^13*T2^9 - 591*T1^14*T2^9 - 477*T1^15*T2^9 - 292*T1^16*T2^9 + 
     471*T1^2*T2^10 + 477*T1^3*T2^10 + 492*T1^4*T2^10 - 220*T1^5*T2^10 - 
     59*T1^6*T2^10 - 413*T1^7*T2^10 + 1163*T1^8*T2^10 + 301*T1^9*T2^10 + 
     1163*T1^10*T2^10 - 413*T1^11*T2^10 - 59*T1^12*T2^10 - 220*T1^13*T2^10 + 
     492*T1^14*T2^10 + 477*T1^15*T2^10 + 471*T1^16*T2^10 - 650*T1^3*T2^11 - 
     289*T1^4*T2^11 - 13*T1^5*T2^11 - 220*T1^6*T2^11 + 856*T1^7*T2^11 - 
     844*T1^8*T2^11 - 413*T1^9*T2^11 - 413*T1^10*T2^11 - 844*T1^11*T2^11 + 
     856*T1^12*T2^11 - 220*T1^13*T2^11 - 13*T1^14*T2^11 - 289*T1^15*T2^11 - 
     650*T1^16*T2^11 + 759*T1^4*T2^12 - 289*T1^5*T2^12 + 492*T1^6*T2^12 - 
     538*T1^7*T2^12 - 199*T1^8*T2^12 + 856*T1^9*T2^12 - 59*T1^10*T2^12 + 
     856*T1^11*T2^12 - 199*T1^12*T2^12 - 538*T1^13*T2^12 + 492*T1^14*T2^12 - 
     289*T1^15*T2^12 + 759*T1^16*T2^12 - 650*T1^5*T2^13 + 477*T1^6*T2^13 - 
     591*T1^7*T2^13 + 920*T1^8*T2^13 - 538*T1^9*T2^13 - 220*T1^10*T2^13 - 
     220*T1^11*T2^13 - 538*T1^12*T2^13 + 920*T1^13*T2^13 - 591*T1^14*T2^13 + 
     477*T1^15*T2^13 - 650*T1^16*T2^13 + 471*T1^6*T2^14 - 477*T1^7*T2^14 + 
     397*T1^8*T2^14 - 591*T1^9*T2^14 + 492*T1^10*T2^14 - 13*T1^11*T2^14 + 
     492*T1^12*T2^14 - 591*T1^13*T2^14 + 397*T1^14*T2^14 - 477*T1^15*T2^14 + 
     471*T1^16*T2^14 - 292*T1^7*T2^15 + 480*T1^8*T2^15 - 477*T1^9*T2^15 + 
     477*T1^10*T2^15 - 289*T1^11*T2^15 - 289*T1^12*T2^15 + 477*T1^13*T2^15 - 
     477*T1^14*T2^15 + 480*T1^15*T2^15 - 292*T1^16*T2^15 + 111*T1^8*T2^16 - 
     292*T1^9*T2^16 + 471*T1^10*T2^16 - 650*T1^11*T2^16 + 759*T1^12*T2^16 - 
     650*T1^13*T2^16 + 471*T1^14*T2^16 - 292*T1^15*T2^16 + 111*T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 877] -> 
  {(6 - 18*T + 27*T^2 - 29*T^3 + 27*T^4 - 18*T^5 + 6*T^6)/T^3, 
   (699 - 2064*T1 + 3076*T1^2 - 3293*T1^3 + 3076*T1^4 - 2064*T1^5 + 
     699*T1^6 - 2064*T2 + 4054*T1*T2 - 3020*T1^2*T2 + 656*T1^3*T2 + 
     656*T1^4*T2 - 3020*T1^5*T2 + 4054*T1^6*T2 - 2064*T1^7*T2 + 3076*T2^2 - 
     3020*T1*T2^2 - 1665*T1^2*T2^2 + 4061*T1^3*T2^2 - 2749*T1^4*T2^2 + 
     4061*T1^5*T2^2 - 1665*T1^6*T2^2 - 3020*T1^7*T2^2 + 3076*T1^8*T2^2 - 
     3293*T2^3 + 656*T1*T2^3 + 4061*T1^2*T2^3 - 2386*T1^3*T2^3 - 
     1132*T1^4*T2^3 - 1132*T1^5*T2^3 - 2386*T1^6*T2^3 + 4061*T1^7*T2^3 + 
     656*T1^8*T2^3 - 3293*T1^9*T2^3 + 3076*T2^4 + 656*T1*T2^4 - 
     2749*T1^2*T2^4 - 1132*T1^3*T2^4 + 2730*T1^4*T2^4 + 1142*T1^5*T2^4 + 
     2730*T1^6*T2^4 - 1132*T1^7*T2^4 - 2749*T1^8*T2^4 + 656*T1^9*T2^4 + 
     3076*T1^10*T2^4 - 2064*T2^5 - 3020*T1*T2^5 + 4061*T1^2*T2^5 - 
     1132*T1^3*T2^5 + 1142*T1^4*T2^5 - 2938*T1^5*T2^5 - 2938*T1^6*T2^5 + 
     1142*T1^7*T2^5 - 1132*T1^8*T2^5 + 4061*T1^9*T2^5 - 3020*T1^10*T2^5 - 
     2064*T1^11*T2^5 + 699*T2^6 + 4054*T1*T2^6 - 1665*T1^2*T2^6 - 
     2386*T1^3*T2^6 + 2730*T1^4*T2^6 - 2938*T1^5*T2^6 + 7512*T1^6*T2^6 - 
     2938*T1^7*T2^6 + 2730*T1^8*T2^6 - 2386*T1^9*T2^6 - 1665*T1^10*T2^6 + 
     4054*T1^11*T2^6 + 699*T1^12*T2^6 - 2064*T1*T2^7 - 3020*T1^2*T2^7 + 
     4061*T1^3*T2^7 - 1132*T1^4*T2^7 + 1142*T1^5*T2^7 - 2938*T1^6*T2^7 - 
     2938*T1^7*T2^7 + 1142*T1^8*T2^7 - 1132*T1^9*T2^7 + 4061*T1^10*T2^7 - 
     3020*T1^11*T2^7 - 2064*T1^12*T2^7 + 3076*T1^2*T2^8 + 656*T1^3*T2^8 - 
     2749*T1^4*T2^8 - 1132*T1^5*T2^8 + 2730*T1^6*T2^8 + 1142*T1^7*T2^8 + 
     2730*T1^8*T2^8 - 1132*T1^9*T2^8 - 2749*T1^10*T2^8 + 656*T1^11*T2^8 + 
     3076*T1^12*T2^8 - 3293*T1^3*T2^9 + 656*T1^4*T2^9 + 4061*T1^5*T2^9 - 
     2386*T1^6*T2^9 - 1132*T1^7*T2^9 - 1132*T1^8*T2^9 - 2386*T1^9*T2^9 + 
     4061*T1^10*T2^9 + 656*T1^11*T2^9 - 3293*T1^12*T2^9 + 3076*T1^4*T2^10 - 
     3020*T1^5*T2^10 - 1665*T1^6*T2^10 + 4061*T1^7*T2^10 - 2749*T1^8*T2^10 + 
     4061*T1^9*T2^10 - 1665*T1^10*T2^10 - 3020*T1^11*T2^10 + 
     3076*T1^12*T2^10 - 2064*T1^5*T2^11 + 4054*T1^6*T2^11 - 3020*T1^7*T2^11 + 
     656*T1^8*T2^11 + 656*T1^9*T2^11 - 3020*T1^10*T2^11 + 4054*T1^11*T2^11 - 
     2064*T1^12*T2^11 + 699*T1^6*T2^12 - 2064*T1^7*T2^12 + 3076*T1^8*T2^12 - 
     3293*T1^9*T2^12 + 3076*T1^10*T2^12 - 2064*T1^11*T2^12 + 699*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 878] -> 
  {((1 - T + T^2)*(1 - T + T^2 - T^3 + T^4)^2)/T^5, 
   -((1 - 3*T1 + 6*T1^2 - 9*T1^3 + 12*T1^4 - 13*T1^5 + 12*T1^6 - 9*T1^7 + 
      6*T1^8 - 3*T1^9 + T1^10 - 3*T2 + 6*T1*T2 - 9*T1^2*T2 + 9*T1^3*T2 - 
      9*T1^4*T2 + 3*T1^5*T2 + 3*T1^6*T2 - 9*T1^7*T2 + 9*T1^8*T2 - 9*T1^9*T2 + 
      6*T1^10*T2 - 3*T1^11*T2 + 6*T2^2 - 9*T1*T2^2 + 14*T1^2*T2^2 - 
      16*T1^3*T2^2 + 24*T1^4*T2^2 - 18*T1^5*T2^2 + 18*T1^6*T2^2 - 
      18*T1^7*T2^2 + 24*T1^8*T2^2 - 16*T1^9*T2^2 + 14*T1^10*T2^2 - 
      9*T1^11*T2^2 + 6*T1^12*T2^2 - 9*T2^3 + 9*T1*T2^3 - 16*T1^2*T2^3 + 
      16*T1^3*T2^3 - 25*T1^4*T2^3 + T1^5*T2^3 - T1^6*T2^3 - T1^7*T2^3 + 
      T1^8*T2^3 - 25*T1^9*T2^3 + 16*T1^10*T2^3 - 16*T1^11*T2^3 + 
      9*T1^12*T2^3 - 9*T1^13*T2^3 + 12*T2^4 - 9*T1*T2^4 + 24*T1^2*T2^4 - 
      25*T1^3*T2^4 + 44*T1^4*T2^4 - 10*T1^5*T2^4 + 36*T1^6*T2^4 - 
      40*T1^7*T2^4 + 36*T1^8*T2^4 - 10*T1^9*T2^4 + 44*T1^10*T2^4 - 
      25*T1^11*T2^4 + 24*T1^12*T2^4 - 9*T1^13*T2^4 + 12*T1^14*T2^4 - 
      13*T2^5 + 3*T1*T2^5 - 18*T1^2*T2^5 + T1^3*T2^5 - 10*T1^4*T2^5 - 
      48*T1^5*T2^5 - 7*T1^6*T2^5 + 3*T1^7*T2^5 + 3*T1^8*T2^5 - 7*T1^9*T2^5 - 
      48*T1^10*T2^5 - 10*T1^11*T2^5 + T1^12*T2^5 - 18*T1^13*T2^5 + 
      3*T1^14*T2^5 - 13*T1^15*T2^5 + 12*T2^6 + 3*T1*T2^6 + 18*T1^2*T2^6 - 
      T1^3*T2^6 + 36*T1^4*T2^6 - 7*T1^5*T2^6 + 124*T1^6*T2^6 - 
      106*T1^7*T2^6 + 98*T1^8*T2^6 - 106*T1^9*T2^6 + 124*T1^10*T2^6 - 
      7*T1^11*T2^6 + 36*T1^12*T2^6 - T1^13*T2^6 + 18*T1^14*T2^6 + 
      3*T1^15*T2^6 + 12*T1^16*T2^6 - 9*T2^7 - 9*T1*T2^7 - 18*T1^2*T2^7 - 
      T1^3*T2^7 - 40*T1^4*T2^7 + 3*T1^5*T2^7 - 106*T1^6*T2^7 + 12*T1^7*T2^7 + 
      7*T1^8*T2^7 + 7*T1^9*T2^7 + 12*T1^10*T2^7 - 106*T1^11*T2^7 + 
      3*T1^12*T2^7 - 40*T1^13*T2^7 - T1^14*T2^7 - 18*T1^15*T2^7 - 
      9*T1^16*T2^7 - 9*T1^17*T2^7 + 6*T2^8 + 9*T1*T2^8 + 24*T1^2*T2^8 + 
      T1^3*T2^8 + 36*T1^4*T2^8 + 3*T1^5*T2^8 + 98*T1^6*T2^8 + 7*T1^7*T2^8 + 
      40*T1^8*T2^8 - 80*T1^9*T2^8 + 40*T1^10*T2^8 + 7*T1^11*T2^8 + 
      98*T1^12*T2^8 + 3*T1^13*T2^8 + 36*T1^14*T2^8 + T1^15*T2^8 + 
      24*T1^16*T2^8 + 9*T1^17*T2^8 + 6*T1^18*T2^8 - 3*T2^9 - 9*T1*T2^9 - 
      16*T1^2*T2^9 - 25*T1^3*T2^9 - 10*T1^4*T2^9 - 7*T1^5*T2^9 - 
      106*T1^6*T2^9 + 7*T1^7*T2^9 - 80*T1^8*T2^9 + 52*T1^9*T2^9 + 
      52*T1^10*T2^9 - 80*T1^11*T2^9 + 7*T1^12*T2^9 - 106*T1^13*T2^9 - 
      7*T1^14*T2^9 - 10*T1^15*T2^9 - 25*T1^16*T2^9 - 16*T1^17*T2^9 - 
      9*T1^18*T2^9 - 3*T1^19*T2^9 + T2^10 + 6*T1*T2^10 + 14*T1^2*T2^10 + 
      16*T1^3*T2^10 + 44*T1^4*T2^10 - 48*T1^5*T2^10 + 124*T1^6*T2^10 + 
      12*T1^7*T2^10 + 40*T1^8*T2^10 + 52*T1^9*T2^10 - 120*T1^10*T2^10 + 
      52*T1^11*T2^10 + 40*T1^12*T2^10 + 12*T1^13*T2^10 + 124*T1^14*T2^10 - 
      48*T1^15*T2^10 + 44*T1^16*T2^10 + 16*T1^17*T2^10 + 14*T1^18*T2^10 + 
      6*T1^19*T2^10 + T1^20*T2^10 - 3*T1*T2^11 - 9*T1^2*T2^11 - 
      16*T1^3*T2^11 - 25*T1^4*T2^11 - 10*T1^5*T2^11 - 7*T1^6*T2^11 - 
      106*T1^7*T2^11 + 7*T1^8*T2^11 - 80*T1^9*T2^11 + 52*T1^10*T2^11 + 
      52*T1^11*T2^11 - 80*T1^12*T2^11 + 7*T1^13*T2^11 - 106*T1^14*T2^11 - 
      7*T1^15*T2^11 - 10*T1^16*T2^11 - 25*T1^17*T2^11 - 16*T1^18*T2^11 - 
      9*T1^19*T2^11 - 3*T1^20*T2^11 + 6*T1^2*T2^12 + 9*T1^3*T2^12 + 
      24*T1^4*T2^12 + T1^5*T2^12 + 36*T1^6*T2^12 + 3*T1^7*T2^12 + 
      98*T1^8*T2^12 + 7*T1^9*T2^12 + 40*T1^10*T2^12 - 80*T1^11*T2^12 + 
      40*T1^12*T2^12 + 7*T1^13*T2^12 + 98*T1^14*T2^12 + 3*T1^15*T2^12 + 
      36*T1^16*T2^12 + T1^17*T2^12 + 24*T1^18*T2^12 + 9*T1^19*T2^12 + 
      6*T1^20*T2^12 - 9*T1^3*T2^13 - 9*T1^4*T2^13 - 18*T1^5*T2^13 - 
      T1^6*T2^13 - 40*T1^7*T2^13 + 3*T1^8*T2^13 - 106*T1^9*T2^13 + 
      12*T1^10*T2^13 + 7*T1^11*T2^13 + 7*T1^12*T2^13 + 12*T1^13*T2^13 - 
      106*T1^14*T2^13 + 3*T1^15*T2^13 - 40*T1^16*T2^13 - T1^17*T2^13 - 
      18*T1^18*T2^13 - 9*T1^19*T2^13 - 9*T1^20*T2^13 + 12*T1^4*T2^14 + 
      3*T1^5*T2^14 + 18*T1^6*T2^14 - T1^7*T2^14 + 36*T1^8*T2^14 - 
      7*T1^9*T2^14 + 124*T1^10*T2^14 - 106*T1^11*T2^14 + 98*T1^12*T2^14 - 
      106*T1^13*T2^14 + 124*T1^14*T2^14 - 7*T1^15*T2^14 + 36*T1^16*T2^14 - 
      T1^17*T2^14 + 18*T1^18*T2^14 + 3*T1^19*T2^14 + 12*T1^20*T2^14 - 
      13*T1^5*T2^15 + 3*T1^6*T2^15 - 18*T1^7*T2^15 + T1^8*T2^15 - 
      10*T1^9*T2^15 - 48*T1^10*T2^15 - 7*T1^11*T2^15 + 3*T1^12*T2^15 + 
      3*T1^13*T2^15 - 7*T1^14*T2^15 - 48*T1^15*T2^15 - 10*T1^16*T2^15 + 
      T1^17*T2^15 - 18*T1^18*T2^15 + 3*T1^19*T2^15 - 13*T1^20*T2^15 + 
      12*T1^6*T2^16 - 9*T1^7*T2^16 + 24*T1^8*T2^16 - 25*T1^9*T2^16 + 
      44*T1^10*T2^16 - 10*T1^11*T2^16 + 36*T1^12*T2^16 - 40*T1^13*T2^16 + 
      36*T1^14*T2^16 - 10*T1^15*T2^16 + 44*T1^16*T2^16 - 25*T1^17*T2^16 + 
      24*T1^18*T2^16 - 9*T1^19*T2^16 + 12*T1^20*T2^16 - 9*T1^7*T2^17 + 
      9*T1^8*T2^17 - 16*T1^9*T2^17 + 16*T1^10*T2^17 - 25*T1^11*T2^17 + 
      T1^12*T2^17 - T1^13*T2^17 - T1^14*T2^17 + T1^15*T2^17 - 
      25*T1^16*T2^17 + 16*T1^17*T2^17 - 16*T1^18*T2^17 + 9*T1^19*T2^17 - 
      9*T1^20*T2^17 + 6*T1^8*T2^18 - 9*T1^9*T2^18 + 14*T1^10*T2^18 - 
      16*T1^11*T2^18 + 24*T1^12*T2^18 - 18*T1^13*T2^18 + 18*T1^14*T2^18 - 
      18*T1^15*T2^18 + 24*T1^16*T2^18 - 16*T1^17*T2^18 + 14*T1^18*T2^18 - 
      9*T1^19*T2^18 + 6*T1^20*T2^18 - 3*T1^9*T2^19 + 6*T1^10*T2^19 - 
      9*T1^11*T2^19 + 9*T1^12*T2^19 - 9*T1^13*T2^19 + 3*T1^14*T2^19 + 
      3*T1^15*T2^19 - 9*T1^16*T2^19 + 9*T1^17*T2^19 - 9*T1^18*T2^19 + 
      6*T1^19*T2^19 - 3*T1^20*T2^19 + T1^10*T2^20 - 3*T1^11*T2^20 + 
      6*T1^12*T2^20 - 9*T1^13*T2^20 + 12*T1^14*T2^20 - 13*T1^15*T2^20 + 
      12*T1^16*T2^20 - 9*T1^17*T2^20 + 6*T1^18*T2^20 - 3*T1^19*T2^20 + 
      T1^20*T2^20)/(T1^10*T2^10))}, 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, 
   -((1 - 3*T1 + 6*T1^2 - 9*T1^3 + 11*T1^4 - 9*T1^5 + 6*T1^6 - 3*T1^7 + 
      T1^8 - 3*T2 + 6*T1*T2 - 9*T1^2*T2 + 9*T1^3*T2 - 6*T1^4*T2 - 6*T1^5*T2 + 
      9*T1^6*T2 - 9*T1^7*T2 + 6*T1^8*T2 - 3*T1^9*T2 + 6*T2^2 - 9*T1*T2^2 + 
      7*T1^2*T2^2 - 2*T1^3*T2^2 + 17*T1^4*T2^2 - 21*T1^5*T2^2 + 
      17*T1^6*T2^2 - 2*T1^7*T2^2 + 7*T1^8*T2^2 - 9*T1^9*T2^2 + 6*T1^10*T2^2 - 
      9*T2^3 + 9*T1*T2^3 - 2*T1^2*T2^3 + 10*T1^3*T2^3 - 74*T1^4*T2^3 + 
      47*T1^5*T2^3 + 47*T1^6*T2^3 - 74*T1^7*T2^3 + 10*T1^8*T2^3 - 
      2*T1^9*T2^3 + 9*T1^10*T2^3 - 9*T1^11*T2^3 + 11*T2^4 - 6*T1*T2^4 + 
      17*T1^2*T2^4 - 74*T1^3*T2^4 + 212*T1^4*T2^4 - 107*T1^5*T2^4 - 
      8*T1^6*T2^4 - 107*T1^7*T2^4 + 212*T1^8*T2^4 - 74*T1^9*T2^4 + 
      17*T1^10*T2^4 - 6*T1^11*T2^4 + 11*T1^12*T2^4 - 9*T2^5 - 6*T1*T2^5 - 
      21*T1^2*T2^5 + 47*T1^3*T2^5 - 107*T1^4*T2^5 - 188*T1^5*T2^5 + 
      164*T1^6*T2^5 + 164*T1^7*T2^5 - 188*T1^8*T2^5 - 107*T1^9*T2^5 + 
      47*T1^10*T2^5 - 21*T1^11*T2^5 - 6*T1^12*T2^5 - 9*T1^13*T2^5 + 6*T2^6 + 
      9*T1*T2^6 + 17*T1^2*T2^6 + 47*T1^3*T2^6 - 8*T1^4*T2^6 + 164*T1^5*T2^6 + 
      363*T1^6*T2^6 - 733*T1^7*T2^6 + 363*T1^8*T2^6 + 164*T1^9*T2^6 - 
      8*T1^10*T2^6 + 47*T1^11*T2^6 + 17*T1^12*T2^6 + 9*T1^13*T2^6 + 
      6*T1^14*T2^6 - 3*T2^7 - 9*T1*T2^7 - 2*T1^2*T2^7 - 74*T1^3*T2^7 - 
      107*T1^4*T2^7 + 164*T1^5*T2^7 - 733*T1^6*T2^7 + 422*T1^7*T2^7 + 
      422*T1^8*T2^7 - 733*T1^9*T2^7 + 164*T1^10*T2^7 - 107*T1^11*T2^7 - 
      74*T1^12*T2^7 - 2*T1^13*T2^7 - 9*T1^14*T2^7 - 3*T1^15*T2^7 + T2^8 + 
      6*T1*T2^8 + 7*T1^2*T2^8 + 10*T1^3*T2^8 + 212*T1^4*T2^8 - 
      188*T1^5*T2^8 + 363*T1^6*T2^8 + 422*T1^7*T2^8 - 888*T1^8*T2^8 + 
      422*T1^9*T2^8 + 363*T1^10*T2^8 - 188*T1^11*T2^8 + 212*T1^12*T2^8 + 
      10*T1^13*T2^8 + 7*T1^14*T2^8 + 6*T1^15*T2^8 + T1^16*T2^8 - 3*T1*T2^9 - 
      9*T1^2*T2^9 - 2*T1^3*T2^9 - 74*T1^4*T2^9 - 107*T1^5*T2^9 + 
      164*T1^6*T2^9 - 733*T1^7*T2^9 + 422*T1^8*T2^9 + 422*T1^9*T2^9 - 
      733*T1^10*T2^9 + 164*T1^11*T2^9 - 107*T1^12*T2^9 - 74*T1^13*T2^9 - 
      2*T1^14*T2^9 - 9*T1^15*T2^9 - 3*T1^16*T2^9 + 6*T1^2*T2^10 + 
      9*T1^3*T2^10 + 17*T1^4*T2^10 + 47*T1^5*T2^10 - 8*T1^6*T2^10 + 
      164*T1^7*T2^10 + 363*T1^8*T2^10 - 733*T1^9*T2^10 + 363*T1^10*T2^10 + 
      164*T1^11*T2^10 - 8*T1^12*T2^10 + 47*T1^13*T2^10 + 17*T1^14*T2^10 + 
      9*T1^15*T2^10 + 6*T1^16*T2^10 - 9*T1^3*T2^11 - 6*T1^4*T2^11 - 
      21*T1^5*T2^11 + 47*T1^6*T2^11 - 107*T1^7*T2^11 - 188*T1^8*T2^11 + 
      164*T1^9*T2^11 + 164*T1^10*T2^11 - 188*T1^11*T2^11 - 107*T1^12*T2^11 + 
      47*T1^13*T2^11 - 21*T1^14*T2^11 - 6*T1^15*T2^11 - 9*T1^16*T2^11 + 
      11*T1^4*T2^12 - 6*T1^5*T2^12 + 17*T1^6*T2^12 - 74*T1^7*T2^12 + 
      212*T1^8*T2^12 - 107*T1^9*T2^12 - 8*T1^10*T2^12 - 107*T1^11*T2^12 + 
      212*T1^12*T2^12 - 74*T1^13*T2^12 + 17*T1^14*T2^12 - 6*T1^15*T2^12 + 
      11*T1^16*T2^12 - 9*T1^5*T2^13 + 9*T1^6*T2^13 - 2*T1^7*T2^13 + 
      10*T1^8*T2^13 - 74*T1^9*T2^13 + 47*T1^10*T2^13 + 47*T1^11*T2^13 - 
      74*T1^12*T2^13 + 10*T1^13*T2^13 - 2*T1^14*T2^13 + 9*T1^15*T2^13 - 
      9*T1^16*T2^13 + 6*T1^6*T2^14 - 9*T1^7*T2^14 + 7*T1^8*T2^14 - 
      2*T1^9*T2^14 + 17*T1^10*T2^14 - 21*T1^11*T2^14 + 17*T1^12*T2^14 - 
      2*T1^13*T2^14 + 7*T1^14*T2^14 - 9*T1^15*T2^14 + 6*T1^16*T2^14 - 
      3*T1^7*T2^15 + 6*T1^8*T2^15 - 9*T1^9*T2^15 + 9*T1^10*T2^15 - 
      6*T1^11*T2^15 - 6*T1^12*T2^15 + 9*T1^13*T2^15 - 9*T1^14*T2^15 + 
      6*T1^15*T2^15 - 3*T1^16*T2^15 + T1^8*T2^16 - 3*T1^9*T2^16 + 
      6*T1^10*T2^16 - 9*T1^11*T2^16 + 11*T1^12*T2^16 - 9*T1^13*T2^16 + 
      6*T1^14*T2^16 - 3*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 880] -> {((2 - 3*T + 2*T^2)*(6 - 11*T + 6*T^2))/T^2, 
   (2*(2040 - 6664*T1 + 9452*T1^2 - 6664*T1^3 + 2040*T1^4 - 6664*T2 + 
      15168*T1*T2 - 9156*T1^2*T2 - 9156*T1^3*T2 + 15168*T1^4*T2 - 
      6664*T1^5*T2 + 9452*T2^2 - 9156*T1*T2^2 - 18431*T1^2*T2^2 + 
      40160*T1^3*T2^2 - 18431*T1^4*T2^2 - 9156*T1^5*T2^2 + 9452*T1^6*T2^2 - 
      6664*T2^3 - 9156*T1*T2^3 + 40160*T1^2*T2^3 - 27874*T1^3*T2^3 - 
      27874*T1^4*T2^3 + 40160*T1^5*T2^3 - 9156*T1^6*T2^3 - 6664*T1^7*T2^3 + 
      2040*T2^4 + 15168*T1*T2^4 - 18431*T1^2*T2^4 - 27874*T1^3*T2^4 + 
      66750*T1^4*T2^4 - 27874*T1^5*T2^4 - 18431*T1^6*T2^4 + 15168*T1^7*T2^4 + 
      2040*T1^8*T2^4 - 6664*T1*T2^5 - 9156*T1^2*T2^5 + 40160*T1^3*T2^5 - 
      27874*T1^4*T2^5 - 27874*T1^5*T2^5 + 40160*T1^6*T2^5 - 9156*T1^7*T2^5 - 
      6664*T1^8*T2^5 + 9452*T1^2*T2^6 - 9156*T1^3*T2^6 - 18431*T1^4*T2^6 + 
      40160*T1^5*T2^6 - 18431*T1^6*T2^6 - 9156*T1^7*T2^6 + 9452*T1^8*T2^6 - 
      6664*T1^3*T2^7 + 15168*T1^4*T2^7 - 9156*T1^5*T2^7 - 9156*T1^6*T2^7 + 
      15168*T1^7*T2^7 - 6664*T1^8*T2^7 + 2040*T1^4*T2^8 - 6664*T1^5*T2^8 + 
      9452*T1^6*T2^8 - 6664*T1^7*T2^8 + 2040*T1^8*T2^8))/(T1^4*T2^4)}, 
 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, -((15 - 53*T1 + 98*T1^2 - 113*T1^3 + 113*T1^4 - 113*T1^5 + 98*T1^6 - 
      53*T1^7 + 15*T1^8 - 53*T2 + 134*T1*T2 - 159*T1^2*T2 + 53*T1^3*T2 + 
      53*T1^6*T2 - 159*T1^7*T2 + 134*T1^8*T2 - 53*T1^9*T2 + 98*T2^2 - 
      159*T1*T2^2 + 65*T1^2*T2^2 + 178*T1^3*T2^2 - 101*T1^4*T2^2 + 
      11*T1^5*T2^2 - 101*T1^6*T2^2 + 178*T1^7*T2^2 + 65*T1^8*T2^2 - 
      159*T1^9*T2^2 + 98*T1^10*T2^2 - 113*T2^3 + 53*T1*T2^3 + 178*T1^2*T2^3 - 
      382*T1^3*T2^3 - 12*T1^4*T2^3 + 85*T1^5*T2^3 + 85*T1^6*T2^3 - 
      12*T1^7*T2^3 - 382*T1^8*T2^3 + 178*T1^9*T2^3 + 53*T1^10*T2^3 - 
      113*T1^11*T2^3 + 113*T2^4 - 101*T1^2*T2^4 - 12*T1^3*T2^4 + 
      643*T1^4*T2^4 - 462*T1^5*T2^4 + 257*T1^6*T2^4 - 462*T1^7*T2^4 + 
      643*T1^8*T2^4 - 12*T1^9*T2^4 - 101*T1^10*T2^4 + 113*T1^12*T2^4 - 
      113*T2^5 + 11*T1^2*T2^5 + 85*T1^3*T2^5 - 462*T1^4*T2^5 - 46*T1^5*T2^5 + 
      124*T1^6*T2^5 + 124*T1^7*T2^5 - 46*T1^8*T2^5 - 462*T1^9*T2^5 + 
      85*T1^10*T2^5 + 11*T1^11*T2^5 - 113*T1^13*T2^5 + 98*T2^6 + 53*T1*T2^6 - 
      101*T1^2*T2^6 + 85*T1^3*T2^6 + 257*T1^4*T2^6 + 124*T1^5*T2^6 + 
      41*T1^6*T2^6 - 225*T1^7*T2^6 + 41*T1^8*T2^6 + 124*T1^9*T2^6 + 
      257*T1^10*T2^6 + 85*T1^11*T2^6 - 101*T1^12*T2^6 + 53*T1^13*T2^6 + 
      98*T1^14*T2^6 - 53*T2^7 - 159*T1*T2^7 + 178*T1^2*T2^7 - 12*T1^3*T2^7 - 
      462*T1^4*T2^7 + 124*T1^5*T2^7 - 225*T1^6*T2^7 + 158*T1^7*T2^7 + 
      158*T1^8*T2^7 - 225*T1^9*T2^7 + 124*T1^10*T2^7 - 462*T1^11*T2^7 - 
      12*T1^12*T2^7 + 178*T1^13*T2^7 - 159*T1^14*T2^7 - 53*T1^15*T2^7 + 
      15*T2^8 + 134*T1*T2^8 + 65*T1^2*T2^8 - 382*T1^3*T2^8 + 643*T1^4*T2^8 - 
      46*T1^5*T2^8 + 41*T1^6*T2^8 + 158*T1^7*T2^8 - 360*T1^8*T2^8 + 
      158*T1^9*T2^8 + 41*T1^10*T2^8 - 46*T1^11*T2^8 + 643*T1^12*T2^8 - 
      382*T1^13*T2^8 + 65*T1^14*T2^8 + 134*T1^15*T2^8 + 15*T1^16*T2^8 - 
      53*T1*T2^9 - 159*T1^2*T2^9 + 178*T1^3*T2^9 - 12*T1^4*T2^9 - 
      462*T1^5*T2^9 + 124*T1^6*T2^9 - 225*T1^7*T2^9 + 158*T1^8*T2^9 + 
      158*T1^9*T2^9 - 225*T1^10*T2^9 + 124*T1^11*T2^9 - 462*T1^12*T2^9 - 
      12*T1^13*T2^9 + 178*T1^14*T2^9 - 159*T1^15*T2^9 - 53*T1^16*T2^9 + 
      98*T1^2*T2^10 + 53*T1^3*T2^10 - 101*T1^4*T2^10 + 85*T1^5*T2^10 + 
      257*T1^6*T2^10 + 124*T1^7*T2^10 + 41*T1^8*T2^10 - 225*T1^9*T2^10 + 
      41*T1^10*T2^10 + 124*T1^11*T2^10 + 257*T1^12*T2^10 + 85*T1^13*T2^10 - 
      101*T1^14*T2^10 + 53*T1^15*T2^10 + 98*T1^16*T2^10 - 113*T1^3*T2^11 + 
      11*T1^5*T2^11 + 85*T1^6*T2^11 - 462*T1^7*T2^11 - 46*T1^8*T2^11 + 
      124*T1^9*T2^11 + 124*T1^10*T2^11 - 46*T1^11*T2^11 - 462*T1^12*T2^11 + 
      85*T1^13*T2^11 + 11*T1^14*T2^11 - 113*T1^16*T2^11 + 113*T1^4*T2^12 - 
      101*T1^6*T2^12 - 12*T1^7*T2^12 + 643*T1^8*T2^12 - 462*T1^9*T2^12 + 
      257*T1^10*T2^12 - 462*T1^11*T2^12 + 643*T1^12*T2^12 - 12*T1^13*T2^12 - 
      101*T1^14*T2^12 + 113*T1^16*T2^12 - 113*T1^5*T2^13 + 53*T1^6*T2^13 + 
      178*T1^7*T2^13 - 382*T1^8*T2^13 - 12*T1^9*T2^13 + 85*T1^10*T2^13 + 
      85*T1^11*T2^13 - 12*T1^12*T2^13 - 382*T1^13*T2^13 + 178*T1^14*T2^13 + 
      53*T1^15*T2^13 - 113*T1^16*T2^13 + 98*T1^6*T2^14 - 159*T1^7*T2^14 + 
      65*T1^8*T2^14 + 178*T1^9*T2^14 - 101*T1^10*T2^14 + 11*T1^11*T2^14 - 
      101*T1^12*T2^14 + 178*T1^13*T2^14 + 65*T1^14*T2^14 - 159*T1^15*T2^14 + 
      98*T1^16*T2^14 - 53*T1^7*T2^15 + 134*T1^8*T2^15 - 159*T1^9*T2^15 + 
      53*T1^10*T2^15 + 53*T1^13*T2^15 - 159*T1^14*T2^15 + 134*T1^15*T2^15 - 
      53*T1^16*T2^15 + 15*T1^8*T2^16 - 53*T1^9*T2^16 + 98*T1^10*T2^16 - 
      113*T1^11*T2^16 + 113*T1^12*T2^16 - 113*T1^13*T2^16 + 98*T1^14*T2^16 - 
      53*T1^15*T2^16 + 15*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 882] -> {((1 - T + T^2)*(2 - 3*T + 2*T^2)^2)/T^3, 
   -((64 - 256*T1 + 520*T1^2 - 640*T1^3 + 520*T1^4 - 256*T1^5 + 64*T1^6 - 
      256*T2 + 768*T1*T2 - 1060*T1^2*T2 + 484*T1^3*T2 + 484*T1^4*T2 - 
      1060*T1^5*T2 + 768*T1^6*T2 - 256*T1^7*T2 + 520*T2^2 - 1060*T1*T2^2 + 
      556*T1^2*T2^2 + 1394*T1^3*T2^2 - 2340*T1^4*T2^2 + 1394*T1^5*T2^2 + 
      556*T1^6*T2^2 - 1060*T1^7*T2^2 + 520*T1^8*T2^2 - 640*T2^3 + 
      484*T1*T2^3 + 1394*T1^2*T2^3 - 3626*T1^3*T2^3 + 1830*T1^4*T2^3 + 
      1830*T1^5*T2^3 - 3626*T1^6*T2^3 + 1394*T1^7*T2^3 + 484*T1^8*T2^3 - 
      640*T1^9*T2^3 + 520*T2^4 + 484*T1*T2^4 - 2340*T1^2*T2^4 + 
      1830*T1^3*T2^4 + 3771*T1^4*T2^4 - 6685*T1^5*T2^4 + 3771*T1^6*T2^4 + 
      1830*T1^7*T2^4 - 2340*T1^8*T2^4 + 484*T1^9*T2^4 + 520*T1^10*T2^4 - 
      256*T2^5 - 1060*T1*T2^5 + 1394*T1^2*T2^5 + 1830*T1^3*T2^5 - 
      6685*T1^4*T2^5 + 3586*T1^5*T2^5 + 3586*T1^6*T2^5 - 6685*T1^7*T2^5 + 
      1830*T1^8*T2^5 + 1394*T1^9*T2^5 - 1060*T1^10*T2^5 - 256*T1^11*T2^5 + 
      64*T2^6 + 768*T1*T2^6 + 556*T1^2*T2^6 - 3626*T1^3*T2^6 + 
      3771*T1^4*T2^6 + 3586*T1^5*T2^6 - 7668*T1^6*T2^6 + 3586*T1^7*T2^6 + 
      3771*T1^8*T2^6 - 3626*T1^9*T2^6 + 556*T1^10*T2^6 + 768*T1^11*T2^6 + 
      64*T1^12*T2^6 - 256*T1*T2^7 - 1060*T1^2*T2^7 + 1394*T1^3*T2^7 + 
      1830*T1^4*T2^7 - 6685*T1^5*T2^7 + 3586*T1^6*T2^7 + 3586*T1^7*T2^7 - 
      6685*T1^8*T2^7 + 1830*T1^9*T2^7 + 1394*T1^10*T2^7 - 1060*T1^11*T2^7 - 
      256*T1^12*T2^7 + 520*T1^2*T2^8 + 484*T1^3*T2^8 - 2340*T1^4*T2^8 + 
      1830*T1^5*T2^8 + 3771*T1^6*T2^8 - 6685*T1^7*T2^8 + 3771*T1^8*T2^8 + 
      1830*T1^9*T2^8 - 2340*T1^10*T2^8 + 484*T1^11*T2^8 + 520*T1^12*T2^8 - 
      640*T1^3*T2^9 + 484*T1^4*T2^9 + 1394*T1^5*T2^9 - 3626*T1^6*T2^9 + 
      1830*T1^7*T2^9 + 1830*T1^8*T2^9 - 3626*T1^9*T2^9 + 1394*T1^10*T2^9 + 
      484*T1^11*T2^9 - 640*T1^12*T2^9 + 520*T1^4*T2^10 - 1060*T1^5*T2^10 + 
      556*T1^6*T2^10 + 1394*T1^7*T2^10 - 2340*T1^8*T2^10 + 1394*T1^9*T2^10 + 
      556*T1^10*T2^10 - 1060*T1^11*T2^10 + 520*T1^12*T2^10 - 256*T1^5*T2^11 + 
      768*T1^6*T2^11 - 1060*T1^7*T2^11 + 484*T1^8*T2^11 + 484*T1^9*T2^11 - 
      1060*T1^10*T2^11 + 768*T1^11*T2^11 - 256*T1^12*T2^11 + 64*T1^6*T2^12 - 
      256*T1^7*T2^12 + 520*T1^8*T2^12 - 640*T1^9*T2^12 + 520*T1^10*T2^12 - 
      256*T1^11*T2^12 + 64*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 883] -> 
  {-((4 - 20*T + 42*T^2 - 53*T^3 + 42*T^4 - 20*T^5 + 4*T^6)/T^3), 
   (16 - 80*T1 + 168*T1^2 - 216*T1^3 + 168*T1^4 - 80*T1^5 + 16*T1^6 - 80*T2 + 
     320*T1*T2 - 440*T1^2*T2 + 240*T1^3*T2 + 240*T1^4*T2 - 440*T1^5*T2 + 
     320*T1^6*T2 - 80*T1^7*T2 + 168*T2^2 - 440*T1*T2^2 - 34*T1^2*T2^2 + 
     930*T1^3*T2^2 - 1632*T1^4*T2^2 + 930*T1^5*T2^2 - 34*T1^6*T2^2 - 
     440*T1^7*T2^2 + 168*T1^8*T2^2 - 216*T2^3 + 240*T1*T2^3 + 930*T1^2*T2^3 - 
     1280*T1^3*T2^3 + 926*T1^4*T2^3 + 926*T1^5*T2^3 - 1280*T1^6*T2^3 + 
     930*T1^7*T2^3 + 240*T1^8*T2^3 - 216*T1^9*T2^3 + 168*T2^4 + 240*T1*T2^4 - 
     1632*T1^2*T2^4 + 926*T1^3*T2^4 - 1367*T1^4*T2^4 + 669*T1^5*T2^4 - 
     1367*T1^6*T2^4 + 926*T1^7*T2^4 - 1632*T1^8*T2^4 + 240*T1^9*T2^4 + 
     168*T1^10*T2^4 - 80*T2^5 - 440*T1*T2^5 + 930*T1^2*T2^5 + 926*T1^3*T2^5 + 
     669*T1^4*T2^5 + 130*T1^5*T2^5 + 130*T1^6*T2^5 + 669*T1^7*T2^5 + 
     926*T1^8*T2^5 + 930*T1^9*T2^5 - 440*T1^10*T2^5 - 80*T1^11*T2^5 + 
     16*T2^6 + 320*T1*T2^6 - 34*T1^2*T2^6 - 1280*T1^3*T2^6 - 1367*T1^4*T2^6 + 
     130*T1^5*T2^6 - 564*T1^6*T2^6 + 130*T1^7*T2^6 - 1367*T1^8*T2^6 - 
     1280*T1^9*T2^6 - 34*T1^10*T2^6 + 320*T1^11*T2^6 + 16*T1^12*T2^6 - 
     80*T1*T2^7 - 440*T1^2*T2^7 + 930*T1^3*T2^7 + 926*T1^4*T2^7 + 
     669*T1^5*T2^7 + 130*T1^6*T2^7 + 130*T1^7*T2^7 + 669*T1^8*T2^7 + 
     926*T1^9*T2^7 + 930*T1^10*T2^7 - 440*T1^11*T2^7 - 80*T1^12*T2^7 + 
     168*T1^2*T2^8 + 240*T1^3*T2^8 - 1632*T1^4*T2^8 + 926*T1^5*T2^8 - 
     1367*T1^6*T2^8 + 669*T1^7*T2^8 - 1367*T1^8*T2^8 + 926*T1^9*T2^8 - 
     1632*T1^10*T2^8 + 240*T1^11*T2^8 + 168*T1^12*T2^8 - 216*T1^3*T2^9 + 
     240*T1^4*T2^9 + 930*T1^5*T2^9 - 1280*T1^6*T2^9 + 926*T1^7*T2^9 + 
     926*T1^8*T2^9 - 1280*T1^9*T2^9 + 930*T1^10*T2^9 + 240*T1^11*T2^9 - 
     216*T1^12*T2^9 + 168*T1^4*T2^10 - 440*T1^5*T2^10 - 34*T1^6*T2^10 + 
     930*T1^7*T2^10 - 1632*T1^8*T2^10 + 930*T1^9*T2^10 - 34*T1^10*T2^10 - 
     440*T1^11*T2^10 + 168*T1^12*T2^10 - 80*T1^5*T2^11 + 320*T1^6*T2^11 - 
     440*T1^7*T2^11 + 240*T1^8*T2^11 + 240*T1^9*T2^11 - 440*T1^10*T2^11 + 
     320*T1^11*T2^11 - 80*T1^12*T2^11 + 16*T1^6*T2^12 - 80*T1^7*T2^12 + 
     168*T1^8*T2^12 - 216*T1^9*T2^12 + 168*T1^10*T2^12 - 80*T1^11*T2^12 + 
     16*T1^12*T2^12)/(T1^6*T2^6)}, 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), -((1 - 9*T1 + 33*T1^2 - 66*T1^3 + 81*T1^4 - 66*T1^5 + 33*T1^6 - 
      9*T1^7 + T1^8 - 9*T2 + 72*T1*T2 - 215*T1^2*T2 + 294*T1^3*T2 - 
      133*T1^4*T2 - 133*T1^5*T2 + 294*T1^6*T2 - 215*T1^7*T2 + 72*T1^8*T2 - 
      9*T1^9*T2 + 33*T2^2 - 215*T1*T2^2 + 392*T1^2*T2^2 + 168*T1^3*T2^2 - 
      1472*T1^4*T2^2 + 2048*T1^5*T2^2 - 1472*T1^6*T2^2 + 168*T1^7*T2^2 + 
      392*T1^8*T2^2 - 215*T1^9*T2^2 + 33*T1^10*T2^2 - 66*T2^3 + 294*T1*T2^3 + 
      168*T1^2*T2^3 - 2626*T1^3*T2^3 + 4634*T1^4*T2^3 - 2082*T1^5*T2^3 - 
      2082*T1^6*T2^3 + 4634*T1^7*T2^3 - 2626*T1^8*T2^3 + 168*T1^9*T2^3 + 
      294*T1^10*T2^3 - 66*T1^11*T2^3 + 81*T2^4 - 133*T1*T2^4 - 
      1472*T1^2*T2^4 + 4634*T1^3*T2^4 - 1764*T1^4*T2^4 - 9238*T1^5*T2^4 + 
      13798*T1^6*T2^4 - 9238*T1^7*T2^4 - 1764*T1^8*T2^4 + 4634*T1^9*T2^4 - 
      1472*T1^10*T2^4 - 133*T1^11*T2^4 + 81*T1^12*T2^4 - 66*T2^5 - 
      133*T1*T2^5 + 2048*T1^2*T2^5 - 2082*T1^3*T2^5 - 9238*T1^4*T2^5 + 
      21298*T1^5*T2^5 - 9624*T1^6*T2^5 - 9624*T1^7*T2^5 + 21298*T1^8*T2^5 - 
      9238*T1^9*T2^5 - 2082*T1^10*T2^5 + 2048*T1^11*T2^5 - 133*T1^12*T2^5 - 
      66*T1^13*T2^5 + 33*T2^6 + 294*T1*T2^6 - 1472*T1^2*T2^6 - 
      2082*T1^3*T2^6 + 13798*T1^4*T2^6 - 9624*T1^5*T2^6 - 22941*T1^6*T2^6 + 
      36579*T1^7*T2^6 - 22941*T1^8*T2^6 - 9624*T1^9*T2^6 + 13798*T1^10*T2^6 - 
      2082*T1^11*T2^6 - 1472*T1^12*T2^6 + 294*T1^13*T2^6 + 33*T1^14*T2^6 - 
      9*T2^7 - 215*T1*T2^7 + 168*T1^2*T2^7 + 4634*T1^3*T2^7 - 
      9238*T1^4*T2^7 - 9624*T1^5*T2^7 + 36579*T1^6*T2^7 - 17354*T1^7*T2^7 - 
      17354*T1^8*T2^7 + 36579*T1^9*T2^7 - 9624*T1^10*T2^7 - 9238*T1^11*T2^7 + 
      4634*T1^12*T2^7 + 168*T1^13*T2^7 - 215*T1^14*T2^7 - 9*T1^15*T2^7 + 
      T2^8 + 72*T1*T2^8 + 392*T1^2*T2^8 - 2626*T1^3*T2^8 - 1764*T1^4*T2^8 + 
      21298*T1^5*T2^8 - 22941*T1^6*T2^8 - 17354*T1^7*T2^8 + 35016*T1^8*T2^8 - 
      17354*T1^9*T2^8 - 22941*T1^10*T2^8 + 21298*T1^11*T2^8 - 
      1764*T1^12*T2^8 - 2626*T1^13*T2^8 + 392*T1^14*T2^8 + 72*T1^15*T2^8 + 
      T1^16*T2^8 - 9*T1*T2^9 - 215*T1^2*T2^9 + 168*T1^3*T2^9 + 
      4634*T1^4*T2^9 - 9238*T1^5*T2^9 - 9624*T1^6*T2^9 + 36579*T1^7*T2^9 - 
      17354*T1^8*T2^9 - 17354*T1^9*T2^9 + 36579*T1^10*T2^9 - 
      9624*T1^11*T2^9 - 9238*T1^12*T2^9 + 4634*T1^13*T2^9 + 168*T1^14*T2^9 - 
      215*T1^15*T2^9 - 9*T1^16*T2^9 + 33*T1^2*T2^10 + 294*T1^3*T2^10 - 
      1472*T1^4*T2^10 - 2082*T1^5*T2^10 + 13798*T1^6*T2^10 - 
      9624*T1^7*T2^10 - 22941*T1^8*T2^10 + 36579*T1^9*T2^10 - 
      22941*T1^10*T2^10 - 9624*T1^11*T2^10 + 13798*T1^12*T2^10 - 
      2082*T1^13*T2^10 - 1472*T1^14*T2^10 + 294*T1^15*T2^10 + 
      33*T1^16*T2^10 - 66*T1^3*T2^11 - 133*T1^4*T2^11 + 2048*T1^5*T2^11 - 
      2082*T1^6*T2^11 - 9238*T1^7*T2^11 + 21298*T1^8*T2^11 - 
      9624*T1^9*T2^11 - 9624*T1^10*T2^11 + 21298*T1^11*T2^11 - 
      9238*T1^12*T2^11 - 2082*T1^13*T2^11 + 2048*T1^14*T2^11 - 
      133*T1^15*T2^11 - 66*T1^16*T2^11 + 81*T1^4*T2^12 - 133*T1^5*T2^12 - 
      1472*T1^6*T2^12 + 4634*T1^7*T2^12 - 1764*T1^8*T2^12 - 9238*T1^9*T2^12 + 
      13798*T1^10*T2^12 - 9238*T1^11*T2^12 - 1764*T1^12*T2^12 + 
      4634*T1^13*T2^12 - 1472*T1^14*T2^12 - 133*T1^15*T2^12 + 
      81*T1^16*T2^12 - 66*T1^5*T2^13 + 294*T1^6*T2^13 + 168*T1^7*T2^13 - 
      2626*T1^8*T2^13 + 4634*T1^9*T2^13 - 2082*T1^10*T2^13 - 
      2082*T1^11*T2^13 + 4634*T1^12*T2^13 - 2626*T1^13*T2^13 + 
      168*T1^14*T2^13 + 294*T1^15*T2^13 - 66*T1^16*T2^13 + 33*T1^6*T2^14 - 
      215*T1^7*T2^14 + 392*T1^8*T2^14 + 168*T1^9*T2^14 - 1472*T1^10*T2^14 + 
      2048*T1^11*T2^14 - 1472*T1^12*T2^14 + 168*T1^13*T2^14 + 
      392*T1^14*T2^14 - 215*T1^15*T2^14 + 33*T1^16*T2^14 - 9*T1^7*T2^15 + 
      72*T1^8*T2^15 - 215*T1^9*T2^15 + 294*T1^10*T2^15 - 133*T1^11*T2^15 - 
      133*T1^12*T2^15 + 294*T1^13*T2^15 - 215*T1^14*T2^15 + 72*T1^15*T2^15 - 
      9*T1^16*T2^15 + T1^8*T2^16 - 9*T1^9*T2^16 + 33*T1^10*T2^16 - 
      66*T1^11*T2^16 + 81*T1^12*T2^16 - 66*T1^13*T2^16 + 33*T1^14*T2^16 - 
      9*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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), -((1 - 9*T1 + 32*T1^2 - 63*T1^3 + 77*T1^4 - 63*T1^5 + 32*T1^6 - 
      9*T1^7 + T1^8 - 9*T2 + 72*T1*T2 - 206*T1^2*T2 + 276*T1^3*T2 - 
      124*T1^4*T2 - 124*T1^5*T2 + 276*T1^6*T2 - 206*T1^7*T2 + 72*T1^8*T2 - 
      9*T1^9*T2 + 32*T2^2 - 206*T1*T2^2 + 325*T1^2*T2^2 + 268*T1^3*T2^2 - 
      1530*T1^4*T2^2 + 2083*T1^5*T2^2 - 1530*T1^6*T2^2 + 268*T1^7*T2^2 + 
      325*T1^8*T2^2 - 206*T1^9*T2^2 + 32*T1^10*T2^2 - 63*T2^3 + 276*T1*T2^3 + 
      268*T1^2*T2^3 - 2576*T1^3*T2^3 + 4356*T1^4*T2^3 - 1946*T1^5*T2^3 - 
      1946*T1^6*T2^3 + 4356*T1^7*T2^3 - 2576*T1^8*T2^3 + 268*T1^9*T2^3 + 
      276*T1^10*T2^3 - 63*T1^11*T2^3 + 77*T2^4 - 124*T1*T2^4 - 
      1530*T1^2*T2^4 + 4356*T1^3*T2^4 - 1802*T1^4*T2^4 - 7887*T1^5*T2^4 + 
      11914*T1^6*T2^4 - 7887*T1^7*T2^4 - 1802*T1^8*T2^4 + 4356*T1^9*T2^4 - 
      1530*T1^10*T2^4 - 124*T1^11*T2^4 + 77*T1^12*T2^4 - 63*T2^5 - 
      124*T1*T2^5 + 2083*T1^2*T2^5 - 1946*T1^3*T2^5 - 7887*T1^4*T2^5 + 
      18374*T1^5*T2^5 - 8366*T1^6*T2^5 - 8366*T1^7*T2^5 + 18374*T1^8*T2^5 - 
      7887*T1^9*T2^5 - 1946*T1^10*T2^5 + 2083*T1^11*T2^5 - 124*T1^12*T2^5 - 
      63*T1^13*T2^5 + 32*T2^6 + 276*T1*T2^6 - 1530*T1^2*T2^6 - 
      1946*T1^3*T2^6 + 11914*T1^4*T2^6 - 8366*T1^5*T2^6 - 19671*T1^6*T2^6 + 
      31749*T1^7*T2^6 - 19671*T1^8*T2^6 - 8366*T1^9*T2^6 + 11914*T1^10*T2^6 - 
      1946*T1^11*T2^6 - 1530*T1^12*T2^6 + 276*T1^13*T2^6 + 32*T1^14*T2^6 - 
      9*T2^7 - 206*T1*T2^7 + 268*T1^2*T2^7 + 4356*T1^3*T2^7 - 
      7887*T1^4*T2^7 - 8366*T1^5*T2^7 + 31749*T1^6*T2^7 - 15412*T1^7*T2^7 - 
      15412*T1^8*T2^7 + 31749*T1^9*T2^7 - 8366*T1^10*T2^7 - 7887*T1^11*T2^7 + 
      4356*T1^12*T2^7 + 268*T1^13*T2^7 - 206*T1^14*T2^7 - 9*T1^15*T2^7 + 
      T2^8 + 72*T1*T2^8 + 325*T1^2*T2^8 - 2576*T1^3*T2^8 - 1802*T1^4*T2^8 + 
      18374*T1^5*T2^8 - 19671*T1^6*T2^8 - 15412*T1^7*T2^8 + 31584*T1^8*T2^8 - 
      15412*T1^9*T2^8 - 19671*T1^10*T2^8 + 18374*T1^11*T2^8 - 
      1802*T1^12*T2^8 - 2576*T1^13*T2^8 + 325*T1^14*T2^8 + 72*T1^15*T2^8 + 
      T1^16*T2^8 - 9*T1*T2^9 - 206*T1^2*T2^9 + 268*T1^3*T2^9 + 
      4356*T1^4*T2^9 - 7887*T1^5*T2^9 - 8366*T1^6*T2^9 + 31749*T1^7*T2^9 - 
      15412*T1^8*T2^9 - 15412*T1^9*T2^9 + 31749*T1^10*T2^9 - 
      8366*T1^11*T2^9 - 7887*T1^12*T2^9 + 4356*T1^13*T2^9 + 268*T1^14*T2^9 - 
      206*T1^15*T2^9 - 9*T1^16*T2^9 + 32*T1^2*T2^10 + 276*T1^3*T2^10 - 
      1530*T1^4*T2^10 - 1946*T1^5*T2^10 + 11914*T1^6*T2^10 - 
      8366*T1^7*T2^10 - 19671*T1^8*T2^10 + 31749*T1^9*T2^10 - 
      19671*T1^10*T2^10 - 8366*T1^11*T2^10 + 11914*T1^12*T2^10 - 
      1946*T1^13*T2^10 - 1530*T1^14*T2^10 + 276*T1^15*T2^10 + 
      32*T1^16*T2^10 - 63*T1^3*T2^11 - 124*T1^4*T2^11 + 2083*T1^5*T2^11 - 
      1946*T1^6*T2^11 - 7887*T1^7*T2^11 + 18374*T1^8*T2^11 - 
      8366*T1^9*T2^11 - 8366*T1^10*T2^11 + 18374*T1^11*T2^11 - 
      7887*T1^12*T2^11 - 1946*T1^13*T2^11 + 2083*T1^14*T2^11 - 
      124*T1^15*T2^11 - 63*T1^16*T2^11 + 77*T1^4*T2^12 - 124*T1^5*T2^12 - 
      1530*T1^6*T2^12 + 4356*T1^7*T2^12 - 1802*T1^8*T2^12 - 7887*T1^9*T2^12 + 
      11914*T1^10*T2^12 - 7887*T1^11*T2^12 - 1802*T1^12*T2^12 + 
      4356*T1^13*T2^12 - 1530*T1^14*T2^12 - 124*T1^15*T2^12 + 
      77*T1^16*T2^12 - 63*T1^5*T2^13 + 276*T1^6*T2^13 + 268*T1^7*T2^13 - 
      2576*T1^8*T2^13 + 4356*T1^9*T2^13 - 1946*T1^10*T2^13 - 
      1946*T1^11*T2^13 + 4356*T1^12*T2^13 - 2576*T1^13*T2^13 + 
      268*T1^14*T2^13 + 276*T1^15*T2^13 - 63*T1^16*T2^13 + 32*T1^6*T2^14 - 
      206*T1^7*T2^14 + 325*T1^8*T2^14 + 268*T1^9*T2^14 - 1530*T1^10*T2^14 + 
      2083*T1^11*T2^14 - 1530*T1^12*T2^14 + 268*T1^13*T2^14 + 
      325*T1^14*T2^14 - 206*T1^15*T2^14 + 32*T1^16*T2^14 - 9*T1^7*T2^15 + 
      72*T1^8*T2^15 - 206*T1^9*T2^15 + 276*T1^10*T2^15 - 124*T1^11*T2^15 - 
      124*T1^12*T2^15 + 276*T1^13*T2^15 - 206*T1^14*T2^15 + 72*T1^15*T2^15 - 
      9*T1^16*T2^15 + T1^8*T2^16 - 9*T1^9*T2^16 + 32*T1^10*T2^16 - 
      63*T1^11*T2^16 + 77*T1^12*T2^16 - 63*T1^13*T2^16 + 32*T1^14*T2^16 - 
      9*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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), (1 - 7*T1 + 24*T1^2 - 45*T1^3 + 53*T1^4 - 45*T1^5 + 24*T1^6 - 
     7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 119*T1^2*T2 + 147*T1^3*T2 - 
     56*T1^4*T2 - 56*T1^5*T2 + 147*T1^6*T2 - 119*T1^7*T2 + 42*T1^8*T2 - 
     7*T1^9*T2 + 24*T2^2 - 119*T1*T2^2 + 258*T1^2*T2^2 - 62*T1^3*T2^2 - 
     396*T1^4*T2^2 + 488*T1^5*T2^2 - 396*T1^6*T2^2 - 62*T1^7*T2^2 + 
     258*T1^8*T2^2 - 119*T1^9*T2^2 + 24*T1^10*T2^2 - 45*T2^3 + 147*T1*T2^3 - 
     62*T1^2*T2^3 - 984*T1^3*T2^3 + 1672*T1^4*T2^3 - 495*T1^5*T2^3 - 
     495*T1^6*T2^3 + 1672*T1^7*T2^3 - 984*T1^8*T2^3 - 62*T1^9*T2^3 + 
     147*T1^10*T2^3 - 45*T1^11*T2^3 + 53*T2^4 - 56*T1*T2^4 - 396*T1^2*T2^4 + 
     1672*T1^3*T2^4 + 290*T1^4*T2^4 - 5270*T1^5*T2^4 + 5968*T1^6*T2^4 - 
     5270*T1^7*T2^4 + 290*T1^8*T2^4 + 1672*T1^9*T2^4 - 396*T1^10*T2^4 - 
     56*T1^11*T2^4 + 53*T1^12*T2^4 - 45*T2^5 - 56*T1*T2^5 + 488*T1^2*T2^5 - 
     495*T1^3*T2^5 - 5270*T1^4*T2^5 + 9802*T1^5*T2^5 - 2819*T1^6*T2^5 - 
     2819*T1^7*T2^5 + 9802*T1^8*T2^5 - 5270*T1^9*T2^5 - 495*T1^10*T2^5 + 
     488*T1^11*T2^5 - 56*T1^12*T2^5 - 45*T1^13*T2^5 + 24*T2^6 + 147*T1*T2^6 - 
     396*T1^2*T2^6 - 495*T1^3*T2^6 + 5968*T1^4*T2^6 - 2819*T1^5*T2^6 - 
     12150*T1^6*T2^6 + 14088*T1^7*T2^6 - 12150*T1^8*T2^6 - 2819*T1^9*T2^6 + 
     5968*T1^10*T2^6 - 495*T1^11*T2^6 - 396*T1^12*T2^6 + 147*T1^13*T2^6 + 
     24*T1^14*T2^6 - 7*T2^7 - 119*T1*T2^7 - 62*T1^2*T2^7 + 1672*T1^3*T2^7 - 
     5270*T1^4*T2^7 - 2819*T1^5*T2^7 + 14088*T1^6*T2^7 - 3946*T1^7*T2^7 - 
     3946*T1^8*T2^7 + 14088*T1^9*T2^7 - 2819*T1^10*T2^7 - 5270*T1^11*T2^7 + 
     1672*T1^12*T2^7 - 62*T1^13*T2^7 - 119*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 
     42*T1*T2^8 + 258*T1^2*T2^8 - 984*T1^3*T2^8 + 290*T1^4*T2^8 + 
     9802*T1^5*T2^8 - 12150*T1^6*T2^8 - 3946*T1^7*T2^8 + 5652*T1^8*T2^8 - 
     3946*T1^9*T2^8 - 12150*T1^10*T2^8 + 9802*T1^11*T2^8 + 290*T1^12*T2^8 - 
     984*T1^13*T2^8 + 258*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 
     7*T1*T2^9 - 119*T1^2*T2^9 - 62*T1^3*T2^9 + 1672*T1^4*T2^9 - 
     5270*T1^5*T2^9 - 2819*T1^6*T2^9 + 14088*T1^7*T2^9 - 3946*T1^8*T2^9 - 
     3946*T1^9*T2^9 + 14088*T1^10*T2^9 - 2819*T1^11*T2^9 - 5270*T1^12*T2^9 + 
     1672*T1^13*T2^9 - 62*T1^14*T2^9 - 119*T1^15*T2^9 - 7*T1^16*T2^9 + 
     24*T1^2*T2^10 + 147*T1^3*T2^10 - 396*T1^4*T2^10 - 495*T1^5*T2^10 + 
     5968*T1^6*T2^10 - 2819*T1^7*T2^10 - 12150*T1^8*T2^10 + 
     14088*T1^9*T2^10 - 12150*T1^10*T2^10 - 2819*T1^11*T2^10 + 
     5968*T1^12*T2^10 - 495*T1^13*T2^10 - 396*T1^14*T2^10 + 147*T1^15*T2^10 + 
     24*T1^16*T2^10 - 45*T1^3*T2^11 - 56*T1^4*T2^11 + 488*T1^5*T2^11 - 
     495*T1^6*T2^11 - 5270*T1^7*T2^11 + 9802*T1^8*T2^11 - 2819*T1^9*T2^11 - 
     2819*T1^10*T2^11 + 9802*T1^11*T2^11 - 5270*T1^12*T2^11 - 
     495*T1^13*T2^11 + 488*T1^14*T2^11 - 56*T1^15*T2^11 - 45*T1^16*T2^11 + 
     53*T1^4*T2^12 - 56*T1^5*T2^12 - 396*T1^6*T2^12 + 1672*T1^7*T2^12 + 
     290*T1^8*T2^12 - 5270*T1^9*T2^12 + 5968*T1^10*T2^12 - 5270*T1^11*T2^12 + 
     290*T1^12*T2^12 + 1672*T1^13*T2^12 - 396*T1^14*T2^12 - 56*T1^15*T2^12 + 
     53*T1^16*T2^12 - 45*T1^5*T2^13 + 147*T1^6*T2^13 - 62*T1^7*T2^13 - 
     984*T1^8*T2^13 + 1672*T1^9*T2^13 - 495*T1^10*T2^13 - 495*T1^11*T2^13 + 
     1672*T1^12*T2^13 - 984*T1^13*T2^13 - 62*T1^14*T2^13 + 147*T1^15*T2^13 - 
     45*T1^16*T2^13 + 24*T1^6*T2^14 - 119*T1^7*T2^14 + 258*T1^8*T2^14 - 
     62*T1^9*T2^14 - 396*T1^10*T2^14 + 488*T1^11*T2^14 - 396*T1^12*T2^14 - 
     62*T1^13*T2^14 + 258*T1^14*T2^14 - 119*T1^15*T2^14 + 24*T1^16*T2^14 - 
     7*T1^7*T2^15 + 42*T1^8*T2^15 - 119*T1^9*T2^15 + 147*T1^10*T2^15 - 
     56*T1^11*T2^15 - 56*T1^12*T2^15 + 147*T1^13*T2^15 - 119*T1^14*T2^15 + 
     42*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 
     24*T1^10*T2^16 - 45*T1^11*T2^16 + 53*T1^12*T2^16 - 45*T1^13*T2^16 + 
     24*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 0}, 
 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), 
   -((1 - 9*T1 + 33*T1^2 - 67*T1^3 + 83*T1^4 - 67*T1^5 + 33*T1^6 - 9*T1^7 + 
      T1^8 - 9*T2 + 72*T1*T2 - 215*T1^2*T2 + 303*T1^3*T2 - 142*T1^4*T2 - 
      142*T1^5*T2 + 303*T1^6*T2 - 215*T1^7*T2 + 72*T1^8*T2 - 9*T1^9*T2 + 
      33*T2^2 - 215*T1*T2^2 + 390*T1^2*T2^2 + 144*T1^3*T2^2 - 
      1501*T1^4*T2^2 + 2158*T1^5*T2^2 - 1501*T1^6*T2^2 + 144*T1^7*T2^2 + 
      390*T1^8*T2^2 - 215*T1^9*T2^2 + 33*T1^10*T2^2 - 67*T2^3 + 303*T1*T2^3 + 
      144*T1^2*T2^3 - 2520*T1^3*T2^3 + 4722*T1^4*T2^3 - 2261*T1^5*T2^3 - 
      2261*T1^6*T2^3 + 4722*T1^7*T2^3 - 2520*T1^8*T2^3 + 144*T1^9*T2^3 + 
      303*T1^10*T2^3 - 67*T1^11*T2^3 + 83*T2^4 - 142*T1*T2^4 - 
      1501*T1^2*T2^4 + 4722*T1^3*T2^4 - 2537*T1^4*T2^4 - 8446*T1^5*T2^4 + 
      13671*T1^6*T2^4 - 8446*T1^7*T2^4 - 2537*T1^8*T2^4 + 4722*T1^9*T2^4 - 
      1501*T1^10*T2^4 - 142*T1^11*T2^4 + 83*T1^12*T2^4 - 67*T2^5 - 
      142*T1*T2^5 + 2158*T1^2*T2^5 - 2261*T1^3*T2^5 - 8446*T1^4*T2^5 + 
      21458*T1^5*T2^5 - 10522*T1^6*T2^5 - 10522*T1^7*T2^5 + 21458*T1^8*T2^5 - 
      8446*T1^9*T2^5 - 2261*T1^10*T2^5 + 2158*T1^11*T2^5 - 142*T1^12*T2^5 - 
      67*T1^13*T2^5 + 33*T2^6 + 303*T1*T2^6 - 1501*T1^2*T2^6 - 
      2261*T1^3*T2^6 + 13671*T1^4*T2^6 - 10522*T1^5*T2^6 - 23143*T1^6*T2^6 + 
      39533*T1^7*T2^6 - 23143*T1^8*T2^6 - 10522*T1^9*T2^6 + 
      13671*T1^10*T2^6 - 2261*T1^11*T2^6 - 1501*T1^12*T2^6 + 303*T1^13*T2^6 + 
      33*T1^14*T2^6 - 9*T2^7 - 215*T1*T2^7 + 144*T1^2*T2^7 + 4722*T1^3*T2^7 - 
      8446*T1^4*T2^7 - 10522*T1^5*T2^7 + 39533*T1^6*T2^7 - 20342*T1^7*T2^7 - 
      20342*T1^8*T2^7 + 39533*T1^9*T2^7 - 10522*T1^10*T2^7 - 
      8446*T1^11*T2^7 + 4722*T1^12*T2^7 + 144*T1^13*T2^7 - 215*T1^14*T2^7 - 
      9*T1^15*T2^7 + T2^8 + 72*T1*T2^8 + 390*T1^2*T2^8 - 2520*T1^3*T2^8 - 
      2537*T1^4*T2^8 + 21458*T1^5*T2^8 - 23143*T1^6*T2^8 - 20342*T1^7*T2^8 + 
      42588*T1^8*T2^8 - 20342*T1^9*T2^8 - 23143*T1^10*T2^8 + 
      21458*T1^11*T2^8 - 2537*T1^12*T2^8 - 2520*T1^13*T2^8 + 390*T1^14*T2^8 + 
      72*T1^15*T2^8 + T1^16*T2^8 - 9*T1*T2^9 - 215*T1^2*T2^9 + 
      144*T1^3*T2^9 + 4722*T1^4*T2^9 - 8446*T1^5*T2^9 - 10522*T1^6*T2^9 + 
      39533*T1^7*T2^9 - 20342*T1^8*T2^9 - 20342*T1^9*T2^9 + 
      39533*T1^10*T2^9 - 10522*T1^11*T2^9 - 8446*T1^12*T2^9 + 
      4722*T1^13*T2^9 + 144*T1^14*T2^9 - 215*T1^15*T2^9 - 9*T1^16*T2^9 + 
      33*T1^2*T2^10 + 303*T1^3*T2^10 - 1501*T1^4*T2^10 - 2261*T1^5*T2^10 + 
      13671*T1^6*T2^10 - 10522*T1^7*T2^10 - 23143*T1^8*T2^10 + 
      39533*T1^9*T2^10 - 23143*T1^10*T2^10 - 10522*T1^11*T2^10 + 
      13671*T1^12*T2^10 - 2261*T1^13*T2^10 - 1501*T1^14*T2^10 + 
      303*T1^15*T2^10 + 33*T1^16*T2^10 - 67*T1^3*T2^11 - 142*T1^4*T2^11 + 
      2158*T1^5*T2^11 - 2261*T1^6*T2^11 - 8446*T1^7*T2^11 + 
      21458*T1^8*T2^11 - 10522*T1^9*T2^11 - 10522*T1^10*T2^11 + 
      21458*T1^11*T2^11 - 8446*T1^12*T2^11 - 2261*T1^13*T2^11 + 
      2158*T1^14*T2^11 - 142*T1^15*T2^11 - 67*T1^16*T2^11 + 83*T1^4*T2^12 - 
      142*T1^5*T2^12 - 1501*T1^6*T2^12 + 4722*T1^7*T2^12 - 2537*T1^8*T2^12 - 
      8446*T1^9*T2^12 + 13671*T1^10*T2^12 - 8446*T1^11*T2^12 - 
      2537*T1^12*T2^12 + 4722*T1^13*T2^12 - 1501*T1^14*T2^12 - 
      142*T1^15*T2^12 + 83*T1^16*T2^12 - 67*T1^5*T2^13 + 303*T1^6*T2^13 + 
      144*T1^7*T2^13 - 2520*T1^8*T2^13 + 4722*T1^9*T2^13 - 2261*T1^10*T2^13 - 
      2261*T1^11*T2^13 + 4722*T1^12*T2^13 - 2520*T1^13*T2^13 + 
      144*T1^14*T2^13 + 303*T1^15*T2^13 - 67*T1^16*T2^13 + 33*T1^6*T2^14 - 
      215*T1^7*T2^14 + 390*T1^8*T2^14 + 144*T1^9*T2^14 - 1501*T1^10*T2^14 + 
      2158*T1^11*T2^14 - 1501*T1^12*T2^14 + 144*T1^13*T2^14 + 
      390*T1^14*T2^14 - 215*T1^15*T2^14 + 33*T1^16*T2^14 - 9*T1^7*T2^15 + 
      72*T1^8*T2^15 - 215*T1^9*T2^15 + 303*T1^10*T2^15 - 142*T1^11*T2^15 - 
      142*T1^12*T2^15 + 303*T1^13*T2^15 - 215*T1^14*T2^15 + 72*T1^15*T2^15 - 
      9*T1^16*T2^15 + T1^8*T2^16 - 9*T1^9*T2^16 + 33*T1^10*T2^16 - 
      67*T1^11*T2^16 + 83*T1^12*T2^16 - 67*T1^13*T2^16 + 33*T1^14*T2^16 - 
      9*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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), (7 - 35*T1 + 77*T1^2 - 111*T1^3 + 121*T1^4 - 111*T1^5 + 77*T1^6 - 
     35*T1^7 + 7*T1^8 - 35*T2 + 140*T1*T2 - 210*T1^2*T2 + 170*T1^3*T2 - 
     50*T1^4*T2 - 50*T1^5*T2 + 170*T1^6*T2 - 210*T1^7*T2 + 140*T1^8*T2 - 
     35*T1^9*T2 + 77*T2^2 - 210*T1*T2^2 + 41*T1^2*T2^2 + 359*T1^3*T2^2 - 
     681*T1^4*T2^2 + 691*T1^5*T2^2 - 681*T1^6*T2^2 + 359*T1^7*T2^2 + 
     41*T1^8*T2^2 - 210*T1^9*T2^2 + 77*T1^10*T2^2 - 111*T2^3 + 170*T1*T2^3 + 
     359*T1^2*T2^3 - 826*T1^3*T2^3 + 737*T1^4*T2^3 - 139*T1^5*T2^3 - 
     139*T1^6*T2^3 + 737*T1^7*T2^3 - 826*T1^8*T2^3 + 359*T1^9*T2^3 + 
     170*T1^10*T2^3 - 111*T1^11*T2^3 + 121*T2^4 - 50*T1*T2^4 - 
     681*T1^2*T2^4 + 737*T1^3*T2^4 - 7*T1^4*T2^4 - 841*T1^5*T2^4 + 
     725*T1^6*T2^4 - 841*T1^7*T2^4 - 7*T1^8*T2^4 + 737*T1^9*T2^4 - 
     681*T1^10*T2^4 - 50*T1^11*T2^4 + 121*T1^12*T2^4 - 111*T2^5 - 
     50*T1*T2^5 + 691*T1^2*T2^5 - 139*T1^3*T2^5 - 841*T1^4*T2^5 + 
     1152*T1^5*T2^5 - 211*T1^6*T2^5 - 211*T1^7*T2^5 + 1152*T1^8*T2^5 - 
     841*T1^9*T2^5 - 139*T1^10*T2^5 + 691*T1^11*T2^5 - 50*T1^12*T2^5 - 
     111*T1^13*T2^5 + 77*T2^6 + 170*T1*T2^6 - 681*T1^2*T2^6 - 139*T1^3*T2^6 + 
     725*T1^4*T2^6 - 211*T1^5*T2^6 - 1000*T1^6*T2^6 + 1078*T1^7*T2^6 - 
     1000*T1^8*T2^6 - 211*T1^9*T2^6 + 725*T1^10*T2^6 - 139*T1^11*T2^6 - 
     681*T1^12*T2^6 + 170*T1^13*T2^6 + 77*T1^14*T2^6 - 35*T2^7 - 
     210*T1*T2^7 + 359*T1^2*T2^7 + 737*T1^3*T2^7 - 841*T1^4*T2^7 - 
     211*T1^5*T2^7 + 1078*T1^6*T2^7 - 404*T1^7*T2^7 - 404*T1^8*T2^7 + 
     1078*T1^9*T2^7 - 211*T1^10*T2^7 - 841*T1^11*T2^7 + 737*T1^12*T2^7 + 
     359*T1^13*T2^7 - 210*T1^14*T2^7 - 35*T1^15*T2^7 + 7*T2^8 + 140*T1*T2^8 + 
     41*T1^2*T2^8 - 826*T1^3*T2^8 - 7*T1^4*T2^8 + 1152*T1^5*T2^8 - 
     1000*T1^6*T2^8 - 404*T1^7*T2^8 + 912*T1^8*T2^8 - 404*T1^9*T2^8 - 
     1000*T1^10*T2^8 + 1152*T1^11*T2^8 - 7*T1^12*T2^8 - 826*T1^13*T2^8 + 
     41*T1^14*T2^8 + 140*T1^15*T2^8 + 7*T1^16*T2^8 - 35*T1*T2^9 - 
     210*T1^2*T2^9 + 359*T1^3*T2^9 + 737*T1^4*T2^9 - 841*T1^5*T2^9 - 
     211*T1^6*T2^9 + 1078*T1^7*T2^9 - 404*T1^8*T2^9 - 404*T1^9*T2^9 + 
     1078*T1^10*T2^9 - 211*T1^11*T2^9 - 841*T1^12*T2^9 + 737*T1^13*T2^9 + 
     359*T1^14*T2^9 - 210*T1^15*T2^9 - 35*T1^16*T2^9 + 77*T1^2*T2^10 + 
     170*T1^3*T2^10 - 681*T1^4*T2^10 - 139*T1^5*T2^10 + 725*T1^6*T2^10 - 
     211*T1^7*T2^10 - 1000*T1^8*T2^10 + 1078*T1^9*T2^10 - 1000*T1^10*T2^10 - 
     211*T1^11*T2^10 + 725*T1^12*T2^10 - 139*T1^13*T2^10 - 681*T1^14*T2^10 + 
     170*T1^15*T2^10 + 77*T1^16*T2^10 - 111*T1^3*T2^11 - 50*T1^4*T2^11 + 
     691*T1^5*T2^11 - 139*T1^6*T2^11 - 841*T1^7*T2^11 + 1152*T1^8*T2^11 - 
     211*T1^9*T2^11 - 211*T1^10*T2^11 + 1152*T1^11*T2^11 - 841*T1^12*T2^11 - 
     139*T1^13*T2^11 + 691*T1^14*T2^11 - 50*T1^15*T2^11 - 111*T1^16*T2^11 + 
     121*T1^4*T2^12 - 50*T1^5*T2^12 - 681*T1^6*T2^12 + 737*T1^7*T2^12 - 
     7*T1^8*T2^12 - 841*T1^9*T2^12 + 725*T1^10*T2^12 - 841*T1^11*T2^12 - 
     7*T1^12*T2^12 + 737*T1^13*T2^12 - 681*T1^14*T2^12 - 50*T1^15*T2^12 + 
     121*T1^16*T2^12 - 111*T1^5*T2^13 + 170*T1^6*T2^13 + 359*T1^7*T2^13 - 
     826*T1^8*T2^13 + 737*T1^9*T2^13 - 139*T1^10*T2^13 - 139*T1^11*T2^13 + 
     737*T1^12*T2^13 - 826*T1^13*T2^13 + 359*T1^14*T2^13 + 170*T1^15*T2^13 - 
     111*T1^16*T2^13 + 77*T1^6*T2^14 - 210*T1^7*T2^14 + 41*T1^8*T2^14 + 
     359*T1^9*T2^14 - 681*T1^10*T2^14 + 691*T1^11*T2^14 - 681*T1^12*T2^14 + 
     359*T1^13*T2^14 + 41*T1^14*T2^14 - 210*T1^15*T2^14 + 77*T1^16*T2^14 - 
     35*T1^7*T2^15 + 140*T1^8*T2^15 - 210*T1^9*T2^15 + 170*T1^10*T2^15 - 
     50*T1^11*T2^15 - 50*T1^12*T2^15 + 170*T1^13*T2^15 - 210*T1^14*T2^15 + 
     140*T1^15*T2^15 - 35*T1^16*T2^15 + 7*T1^8*T2^16 - 35*T1^9*T2^16 + 
     77*T1^10*T2^16 - 111*T1^11*T2^16 + 121*T1^12*T2^16 - 111*T1^13*T2^16 + 
     77*T1^14*T2^16 - 35*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 890] -> 
  {-((4 - 21*T + 47*T^2 - 61*T^3 + 47*T^4 - 21*T^5 + 4*T^6)/T^3), 0}, 
 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, (17 - 92*T1 + 240*T1^2 - 386*T1^3 + 451*T1^4 - 386*T1^5 + 240*T1^6 - 
     92*T1^7 + 17*T1^8 - 92*T2 + 406*T1*T2 - 801*T1^2*T2 + 791*T1^3*T2 - 
     352*T1^4*T2 - 352*T1^5*T2 + 791*T1^6*T2 - 801*T1^7*T2 + 406*T1^8*T2 - 
     92*T1^9*T2 + 240*T2^2 - 801*T1*T2^2 + 915*T1^2*T2^2 + 360*T1^3*T2^2 - 
     1736*T1^4*T2^2 + 2541*T1^5*T2^2 - 1736*T1^6*T2^2 + 360*T1^7*T2^2 + 
     915*T1^8*T2^2 - 801*T1^9*T2^2 + 240*T1^10*T2^2 - 386*T2^3 + 
     791*T1*T2^3 + 360*T1^2*T2^3 - 3208*T1^3*T2^3 + 3488*T1^4*T2^3 - 
     1866*T1^5*T2^3 - 1866*T1^6*T2^3 + 3488*T1^7*T2^3 - 3208*T1^8*T2^3 + 
     360*T1^9*T2^3 + 791*T1^10*T2^3 - 386*T1^11*T2^3 + 451*T2^4 - 
     352*T1*T2^4 - 1736*T1^2*T2^4 + 3488*T1^3*T2^4 + 1063*T1^4*T2^4 - 
     5435*T1^5*T2^4 + 8949*T1^6*T2^4 - 5435*T1^7*T2^4 + 1063*T1^8*T2^4 + 
     3488*T1^9*T2^4 - 1736*T1^10*T2^4 - 352*T1^11*T2^4 + 451*T1^12*T2^4 - 
     386*T2^5 - 352*T1*T2^5 + 2541*T1^2*T2^5 - 1866*T1^3*T2^5 - 
     5435*T1^4*T2^5 + 6306*T1^5*T2^5 - 4402*T1^6*T2^5 - 4402*T1^7*T2^5 + 
     6306*T1^8*T2^5 - 5435*T1^9*T2^5 - 1866*T1^10*T2^5 + 2541*T1^11*T2^5 - 
     352*T1^12*T2^5 - 386*T1^13*T2^5 + 240*T2^6 + 791*T1*T2^6 - 
     1736*T1^2*T2^6 - 1866*T1^3*T2^6 + 8949*T1^4*T2^6 - 4402*T1^5*T2^6 + 
     327*T1^6*T2^6 + 6123*T1^7*T2^6 + 327*T1^8*T2^6 - 4402*T1^9*T2^6 + 
     8949*T1^10*T2^6 - 1866*T1^11*T2^6 - 1736*T1^12*T2^6 + 791*T1^13*T2^6 + 
     240*T1^14*T2^6 - 92*T2^7 - 801*T1*T2^7 + 360*T1^2*T2^7 + 
     3488*T1^3*T2^7 - 5435*T1^4*T2^7 - 4402*T1^5*T2^7 + 6123*T1^6*T2^7 - 
     5962*T1^7*T2^7 - 5962*T1^8*T2^7 + 6123*T1^9*T2^7 - 4402*T1^10*T2^7 - 
     5435*T1^11*T2^7 + 3488*T1^12*T2^7 + 360*T1^13*T2^7 - 801*T1^14*T2^7 - 
     92*T1^15*T2^7 + 17*T2^8 + 406*T1*T2^8 + 915*T1^2*T2^8 - 3208*T1^3*T2^8 + 
     1063*T1^4*T2^8 + 6306*T1^5*T2^8 + 327*T1^6*T2^8 - 5962*T1^7*T2^8 + 
     14724*T1^8*T2^8 - 5962*T1^9*T2^8 + 327*T1^10*T2^8 + 6306*T1^11*T2^8 + 
     1063*T1^12*T2^8 - 3208*T1^13*T2^8 + 915*T1^14*T2^8 + 406*T1^15*T2^8 + 
     17*T1^16*T2^8 - 92*T1*T2^9 - 801*T1^2*T2^9 + 360*T1^3*T2^9 + 
     3488*T1^4*T2^9 - 5435*T1^5*T2^9 - 4402*T1^6*T2^9 + 6123*T1^7*T2^9 - 
     5962*T1^8*T2^9 - 5962*T1^9*T2^9 + 6123*T1^10*T2^9 - 4402*T1^11*T2^9 - 
     5435*T1^12*T2^9 + 3488*T1^13*T2^9 + 360*T1^14*T2^9 - 801*T1^15*T2^9 - 
     92*T1^16*T2^9 + 240*T1^2*T2^10 + 791*T1^3*T2^10 - 1736*T1^4*T2^10 - 
     1866*T1^5*T2^10 + 8949*T1^6*T2^10 - 4402*T1^7*T2^10 + 327*T1^8*T2^10 + 
     6123*T1^9*T2^10 + 327*T1^10*T2^10 - 4402*T1^11*T2^10 + 
     8949*T1^12*T2^10 - 1866*T1^13*T2^10 - 1736*T1^14*T2^10 + 
     791*T1^15*T2^10 + 240*T1^16*T2^10 - 386*T1^3*T2^11 - 352*T1^4*T2^11 + 
     2541*T1^5*T2^11 - 1866*T1^6*T2^11 - 5435*T1^7*T2^11 + 6306*T1^8*T2^11 - 
     4402*T1^9*T2^11 - 4402*T1^10*T2^11 + 6306*T1^11*T2^11 - 
     5435*T1^12*T2^11 - 1866*T1^13*T2^11 + 2541*T1^14*T2^11 - 
     352*T1^15*T2^11 - 386*T1^16*T2^11 + 451*T1^4*T2^12 - 352*T1^5*T2^12 - 
     1736*T1^6*T2^12 + 3488*T1^7*T2^12 + 1063*T1^8*T2^12 - 5435*T1^9*T2^12 + 
     8949*T1^10*T2^12 - 5435*T1^11*T2^12 + 1063*T1^12*T2^12 + 
     3488*T1^13*T2^12 - 1736*T1^14*T2^12 - 352*T1^15*T2^12 + 
     451*T1^16*T2^12 - 386*T1^5*T2^13 + 791*T1^6*T2^13 + 360*T1^7*T2^13 - 
     3208*T1^8*T2^13 + 3488*T1^9*T2^13 - 1866*T1^10*T2^13 - 
     1866*T1^11*T2^13 + 3488*T1^12*T2^13 - 3208*T1^13*T2^13 + 
     360*T1^14*T2^13 + 791*T1^15*T2^13 - 386*T1^16*T2^13 + 240*T1^6*T2^14 - 
     801*T1^7*T2^14 + 915*T1^8*T2^14 + 360*T1^9*T2^14 - 1736*T1^10*T2^14 + 
     2541*T1^11*T2^14 - 1736*T1^12*T2^14 + 360*T1^13*T2^14 + 
     915*T1^14*T2^14 - 801*T1^15*T2^14 + 240*T1^16*T2^14 - 92*T1^7*T2^15 + 
     406*T1^8*T2^15 - 801*T1^9*T2^15 + 791*T1^10*T2^15 - 352*T1^11*T2^15 - 
     352*T1^12*T2^15 + 791*T1^13*T2^15 - 801*T1^14*T2^15 + 406*T1^15*T2^15 - 
     92*T1^16*T2^15 + 17*T1^8*T2^16 - 92*T1^9*T2^16 + 240*T1^10*T2^16 - 
     386*T1^11*T2^16 + 451*T1^12*T2^16 - 386*T1^13*T2^16 + 240*T1^14*T2^16 - 
     92*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 892] -> 
  {(4 - 22*T + 53*T^2 - 69*T^3 + 53*T^4 - 22*T^5 + 4*T^6)/T^3, 
   (80 - 432*T1 + 1032*T1^2 - 1336*T1^3 + 1032*T1^4 - 432*T1^5 + 80*T1^6 - 
     432*T2 + 1902*T1*T2 - 3242*T1^2*T2 + 1644*T1^3*T2 + 1644*T1^4*T2 - 
     3242*T1^5*T2 + 1902*T1^6*T2 - 432*T1^7*T2 + 1032*T2^2 - 3242*T1*T2^2 + 
     1691*T1^2*T2^2 + 7492*T1^3*T2^2 - 12665*T1^4*T2^2 + 7492*T1^5*T2^2 + 
     1691*T1^6*T2^2 - 3242*T1^7*T2^2 + 1032*T1^8*T2^2 - 1336*T2^3 + 
     1644*T1*T2^3 + 7492*T1^2*T2^3 - 21338*T1^3*T2^3 + 11573*T1^4*T2^3 + 
     11573*T1^5*T2^3 - 21338*T1^6*T2^3 + 7492*T1^7*T2^3 + 1644*T1^8*T2^3 - 
     1336*T1^9*T2^3 + 1032*T2^4 + 1644*T1*T2^4 - 12665*T1^2*T2^4 + 
     11573*T1^3*T2^4 + 27105*T1^4*T2^4 - 49121*T1^5*T2^4 + 27105*T1^6*T2^4 + 
     11573*T1^7*T2^4 - 12665*T1^8*T2^4 + 1644*T1^9*T2^4 + 1032*T1^10*T2^4 - 
     432*T2^5 - 3242*T1*T2^5 + 7492*T1^2*T2^5 + 11573*T1^3*T2^5 - 
     49121*T1^4*T2^5 + 27424*T1^5*T2^5 + 27424*T1^6*T2^5 - 49121*T1^7*T2^5 + 
     11573*T1^8*T2^5 + 7492*T1^9*T2^5 - 3242*T1^10*T2^5 - 432*T1^11*T2^5 + 
     80*T2^6 + 1902*T1*T2^6 + 1691*T1^2*T2^6 - 21338*T1^3*T2^6 + 
     27105*T1^4*T2^6 + 27424*T1^5*T2^6 - 59256*T1^6*T2^6 + 27424*T1^7*T2^6 + 
     27105*T1^8*T2^6 - 21338*T1^9*T2^6 + 1691*T1^10*T2^6 + 1902*T1^11*T2^6 + 
     80*T1^12*T2^6 - 432*T1*T2^7 - 3242*T1^2*T2^7 + 7492*T1^3*T2^7 + 
     11573*T1^4*T2^7 - 49121*T1^5*T2^7 + 27424*T1^6*T2^7 + 27424*T1^7*T2^7 - 
     49121*T1^8*T2^7 + 11573*T1^9*T2^7 + 7492*T1^10*T2^7 - 3242*T1^11*T2^7 - 
     432*T1^12*T2^7 + 1032*T1^2*T2^8 + 1644*T1^3*T2^8 - 12665*T1^4*T2^8 + 
     11573*T1^5*T2^8 + 27105*T1^6*T2^8 - 49121*T1^7*T2^8 + 27105*T1^8*T2^8 + 
     11573*T1^9*T2^8 - 12665*T1^10*T2^8 + 1644*T1^11*T2^8 + 1032*T1^12*T2^8 - 
     1336*T1^3*T2^9 + 1644*T1^4*T2^9 + 7492*T1^5*T2^9 - 21338*T1^6*T2^9 + 
     11573*T1^7*T2^9 + 11573*T1^8*T2^9 - 21338*T1^9*T2^9 + 7492*T1^10*T2^9 + 
     1644*T1^11*T2^9 - 1336*T1^12*T2^9 + 1032*T1^4*T2^10 - 3242*T1^5*T2^10 + 
     1691*T1^6*T2^10 + 7492*T1^7*T2^10 - 12665*T1^8*T2^10 + 7492*T1^9*T2^10 + 
     1691*T1^10*T2^10 - 3242*T1^11*T2^10 + 1032*T1^12*T2^10 - 
     432*T1^5*T2^11 + 1902*T1^6*T2^11 - 3242*T1^7*T2^11 + 1644*T1^8*T2^11 + 
     1644*T1^9*T2^11 - 3242*T1^10*T2^11 + 1902*T1^11*T2^11 - 
     432*T1^12*T2^11 + 80*T1^6*T2^12 - 432*T1^7*T2^12 + 1032*T1^8*T2^12 - 
     1336*T1^9*T2^12 + 1032*T1^10*T2^12 - 432*T1^11*T2^12 + 80*T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   -((T1 - 3*T1^2 + 2*T1^3 + 2*T1^4 - 3*T1^5 + T1^6 + T2 - 3*T1*T2 - 
      17*T1^2*T2 + 86*T1^3*T2 - 137*T1^4*T2 + 86*T1^5*T2 - 17*T1^6*T2 - 
      3*T1^7*T2 + T1^8*T2 - 3*T2^2 - 17*T1*T2^2 + 154*T1^2*T2^2 - 
      366*T1^3*T2^2 + 244*T1^4*T2^2 + 244*T1^5*T2^2 - 366*T1^6*T2^2 + 
      154*T1^7*T2^2 - 17*T1^8*T2^2 - 3*T1^9*T2^2 + 2*T2^3 + 86*T1*T2^3 - 
      366*T1^2*T2^3 + 387*T1^3*T2^3 + 633*T1^4*T2^3 - 1565*T1^5*T2^3 + 
      633*T1^6*T2^3 + 387*T1^7*T2^3 - 366*T1^8*T2^3 + 86*T1^9*T2^3 + 
      2*T1^10*T2^3 + 2*T2^4 - 137*T1*T2^4 + 244*T1^2*T2^4 + 633*T1^3*T2^4 - 
      2466*T1^4*T2^4 + 1796*T1^5*T2^4 + 1796*T1^6*T2^4 - 2466*T1^7*T2^4 + 
      633*T1^8*T2^4 + 244*T1^9*T2^4 - 137*T1^10*T2^4 + 2*T1^11*T2^4 - 
      3*T2^5 + 86*T1*T2^5 + 244*T1^2*T2^5 - 1565*T1^3*T2^5 + 1796*T1^4*T2^5 + 
      2610*T1^5*T2^5 - 6468*T1^6*T2^5 + 2610*T1^7*T2^5 + 1796*T1^8*T2^5 - 
      1565*T1^9*T2^5 + 244*T1^10*T2^5 + 86*T1^11*T2^5 - 3*T1^12*T2^5 + T2^6 - 
      17*T1*T2^6 - 366*T1^2*T2^6 + 633*T1^3*T2^6 + 1796*T1^4*T2^6 - 
      6468*T1^5*T2^6 + 4440*T1^6*T2^6 + 4440*T1^7*T2^6 - 6468*T1^8*T2^6 + 
      1796*T1^9*T2^6 + 633*T1^10*T2^6 - 366*T1^11*T2^6 - 17*T1^12*T2^6 + 
      T1^13*T2^6 - 3*T1*T2^7 + 154*T1^2*T2^7 + 387*T1^3*T2^7 - 
      2466*T1^4*T2^7 + 2610*T1^5*T2^7 + 4440*T1^6*T2^7 - 10224*T1^7*T2^7 + 
      4440*T1^8*T2^7 + 2610*T1^9*T2^7 - 2466*T1^10*T2^7 + 387*T1^11*T2^7 + 
      154*T1^12*T2^7 - 3*T1^13*T2^7 + T1*T2^8 - 17*T1^2*T2^8 - 
      366*T1^3*T2^8 + 633*T1^4*T2^8 + 1796*T1^5*T2^8 - 6468*T1^6*T2^8 + 
      4440*T1^7*T2^8 + 4440*T1^8*T2^8 - 6468*T1^9*T2^8 + 1796*T1^10*T2^8 + 
      633*T1^11*T2^8 - 366*T1^12*T2^8 - 17*T1^13*T2^8 + T1^14*T2^8 - 
      3*T1^2*T2^9 + 86*T1^3*T2^9 + 244*T1^4*T2^9 - 1565*T1^5*T2^9 + 
      1796*T1^6*T2^9 + 2610*T1^7*T2^9 - 6468*T1^8*T2^9 + 2610*T1^9*T2^9 + 
      1796*T1^10*T2^9 - 1565*T1^11*T2^9 + 244*T1^12*T2^9 + 86*T1^13*T2^9 - 
      3*T1^14*T2^9 + 2*T1^3*T2^10 - 137*T1^4*T2^10 + 244*T1^5*T2^10 + 
      633*T1^6*T2^10 - 2466*T1^7*T2^10 + 1796*T1^8*T2^10 + 1796*T1^9*T2^10 - 
      2466*T1^10*T2^10 + 633*T1^11*T2^10 + 244*T1^12*T2^10 - 
      137*T1^13*T2^10 + 2*T1^14*T2^10 + 2*T1^4*T2^11 + 86*T1^5*T2^11 - 
      366*T1^6*T2^11 + 387*T1^7*T2^11 + 633*T1^8*T2^11 - 1565*T1^9*T2^11 + 
      633*T1^10*T2^11 + 387*T1^11*T2^11 - 366*T1^12*T2^11 + 86*T1^13*T2^11 + 
      2*T1^14*T2^11 - 3*T1^5*T2^12 - 17*T1^6*T2^12 + 154*T1^7*T2^12 - 
      366*T1^8*T2^12 + 244*T1^9*T2^12 + 244*T1^10*T2^12 - 366*T1^11*T2^12 + 
      154*T1^12*T2^12 - 17*T1^13*T2^12 - 3*T1^14*T2^12 + T1^6*T2^13 - 
      3*T1^7*T2^13 - 17*T1^8*T2^13 + 86*T1^9*T2^13 - 137*T1^10*T2^13 + 
      86*T1^11*T2^13 - 17*T1^12*T2^13 - 3*T1^13*T2^13 + T1^14*T2^13 + 
      T1^8*T2^14 - 3*T1^9*T2^14 + 2*T1^10*T2^14 + 2*T1^11*T2^14 - 
      3*T1^12*T2^14 + T1^13*T2^14)/(T1^7*T2^7))}, 
 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, (1 - 5*T1 + 12*T1^2 - 19*T1^3 + 23*T1^4 - 19*T1^5 + 12*T1^6 - 
     5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 35*T1^2*T2 + 35*T1^3*T2 - 20*T1^4*T2 - 
     20*T1^5*T2 + 35*T1^6*T2 - 35*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
     12*T2^2 - 35*T1*T2^2 + 36*T1^2*T2^2 - 21*T1^3*T2^2 + 36*T1^4*T2^2 - 
     4*T1^5*T2^2 + 36*T1^6*T2^2 - 21*T1^7*T2^2 + 36*T1^8*T2^2 - 
     35*T1^9*T2^2 + 12*T1^10*T2^2 - 19*T2^3 + 35*T1*T2^3 - 21*T1^2*T2^3 + 
     94*T1^3*T2^3 - 265*T1^4*T2^3 + 76*T1^5*T2^3 + 76*T1^6*T2^3 - 
     265*T1^7*T2^3 + 94*T1^8*T2^3 - 21*T1^9*T2^3 + 35*T1^10*T2^3 - 
     19*T1^11*T2^3 + 23*T2^4 - 20*T1*T2^4 + 36*T1^2*T2^4 - 265*T1^3*T2^4 + 
     298*T1^4*T2^4 + 805*T1^5*T2^4 - 1124*T1^6*T2^4 + 805*T1^7*T2^4 + 
     298*T1^8*T2^4 - 265*T1^9*T2^4 + 36*T1^10*T2^4 - 20*T1^11*T2^4 + 
     23*T1^12*T2^4 - 19*T2^5 - 20*T1*T2^5 - 4*T1^2*T2^5 + 76*T1^3*T2^5 + 
     805*T1^4*T2^5 - 2804*T1^5*T2^5 + 1173*T1^6*T2^5 + 1173*T1^7*T2^5 - 
     2804*T1^8*T2^5 + 805*T1^9*T2^5 + 76*T1^10*T2^5 - 4*T1^11*T2^5 - 
     20*T1^12*T2^5 - 19*T1^13*T2^5 + 12*T2^6 + 35*T1*T2^6 + 36*T1^2*T2^6 + 
     76*T1^3*T2^6 - 1124*T1^4*T2^6 + 1173*T1^5*T2^6 + 4651*T1^6*T2^6 - 
     6637*T1^7*T2^6 + 4651*T1^8*T2^6 + 1173*T1^9*T2^6 - 1124*T1^10*T2^6 + 
     76*T1^11*T2^6 + 36*T1^12*T2^6 + 35*T1^13*T2^6 + 12*T1^14*T2^6 - 5*T2^7 - 
     35*T1*T2^7 - 21*T1^2*T2^7 - 265*T1^3*T2^7 + 805*T1^4*T2^7 + 
     1173*T1^5*T2^7 - 6637*T1^6*T2^7 + 2698*T1^7*T2^7 + 2698*T1^8*T2^7 - 
     6637*T1^9*T2^7 + 1173*T1^10*T2^7 + 805*T1^11*T2^7 - 265*T1^12*T2^7 - 
     21*T1^13*T2^7 - 35*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 
     36*T1^2*T2^8 + 94*T1^3*T2^8 + 298*T1^4*T2^8 - 2804*T1^5*T2^8 + 
     4651*T1^6*T2^8 + 2698*T1^7*T2^8 - 4776*T1^8*T2^8 + 2698*T1^9*T2^8 + 
     4651*T1^10*T2^8 - 2804*T1^11*T2^8 + 298*T1^12*T2^8 + 94*T1^13*T2^8 + 
     36*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 35*T1^2*T2^9 - 
     21*T1^3*T2^9 - 265*T1^4*T2^9 + 805*T1^5*T2^9 + 1173*T1^6*T2^9 - 
     6637*T1^7*T2^9 + 2698*T1^8*T2^9 + 2698*T1^9*T2^9 - 6637*T1^10*T2^9 + 
     1173*T1^11*T2^9 + 805*T1^12*T2^9 - 265*T1^13*T2^9 - 21*T1^14*T2^9 - 
     35*T1^15*T2^9 - 5*T1^16*T2^9 + 12*T1^2*T2^10 + 35*T1^3*T2^10 + 
     36*T1^4*T2^10 + 76*T1^5*T2^10 - 1124*T1^6*T2^10 + 1173*T1^7*T2^10 + 
     4651*T1^8*T2^10 - 6637*T1^9*T2^10 + 4651*T1^10*T2^10 + 
     1173*T1^11*T2^10 - 1124*T1^12*T2^10 + 76*T1^13*T2^10 + 36*T1^14*T2^10 + 
     35*T1^15*T2^10 + 12*T1^16*T2^10 - 19*T1^3*T2^11 - 20*T1^4*T2^11 - 
     4*T1^5*T2^11 + 76*T1^6*T2^11 + 805*T1^7*T2^11 - 2804*T1^8*T2^11 + 
     1173*T1^9*T2^11 + 1173*T1^10*T2^11 - 2804*T1^11*T2^11 + 
     805*T1^12*T2^11 + 76*T1^13*T2^11 - 4*T1^14*T2^11 - 20*T1^15*T2^11 - 
     19*T1^16*T2^11 + 23*T1^4*T2^12 - 20*T1^5*T2^12 + 36*T1^6*T2^12 - 
     265*T1^7*T2^12 + 298*T1^8*T2^12 + 805*T1^9*T2^12 - 1124*T1^10*T2^12 + 
     805*T1^11*T2^12 + 298*T1^12*T2^12 - 265*T1^13*T2^12 + 36*T1^14*T2^12 - 
     20*T1^15*T2^12 + 23*T1^16*T2^12 - 19*T1^5*T2^13 + 35*T1^6*T2^13 - 
     21*T1^7*T2^13 + 94*T1^8*T2^13 - 265*T1^9*T2^13 + 76*T1^10*T2^13 + 
     76*T1^11*T2^13 - 265*T1^12*T2^13 + 94*T1^13*T2^13 - 21*T1^14*T2^13 + 
     35*T1^15*T2^13 - 19*T1^16*T2^13 + 12*T1^6*T2^14 - 35*T1^7*T2^14 + 
     36*T1^8*T2^14 - 21*T1^9*T2^14 + 36*T1^10*T2^14 - 4*T1^11*T2^14 + 
     36*T1^12*T2^14 - 21*T1^13*T2^14 + 36*T1^14*T2^14 - 35*T1^15*T2^14 + 
     12*T1^16*T2^14 - 5*T1^7*T2^15 + 20*T1^8*T2^15 - 35*T1^9*T2^15 + 
     35*T1^10*T2^15 - 20*T1^11*T2^15 - 20*T1^12*T2^15 + 35*T1^13*T2^15 - 
     35*T1^14*T2^15 + 20*T1^15*T2^15 - 5*T1^16*T2^15 + T1^8*T2^16 - 
     5*T1^9*T2^16 + 12*T1^10*T2^16 - 19*T1^11*T2^16 + 23*T1^12*T2^16 - 
     19*T1^13*T2^16 + 12*T1^14*T2^16 - 5*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, 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), -((9 - 44*T1 + 117*T1^2 - 219*T1^3 + 269*T1^4 - 219*T1^5 + 
      117*T1^6 - 44*T1^7 + 9*T1^8 - 44*T2 + 172*T1*T2 - 359*T1^2*T2 + 
      501*T1^3*T2 - 246*T1^4*T2 - 246*T1^5*T2 + 501*T1^6*T2 - 359*T1^7*T2 + 
      172*T1^8*T2 - 44*T1^9*T2 + 117*T2^2 - 359*T1*T2^2 + 577*T1^2*T2^2 - 
      573*T1^3*T2^2 - 338*T1^4*T2^2 + 911*T1^5*T2^2 - 338*T1^6*T2^2 - 
      573*T1^7*T2^2 + 577*T1^8*T2^2 - 359*T1^9*T2^2 + 117*T1^10*T2^2 - 
      219*T2^3 + 501*T1*T2^3 - 573*T1^2*T2^3 + 308*T1^3*T2^3 + 
      1309*T1^4*T2^3 - 910*T1^5*T2^3 - 910*T1^6*T2^3 + 1309*T1^7*T2^3 + 
      308*T1^8*T2^3 - 573*T1^9*T2^3 + 501*T1^10*T2^3 - 219*T1^11*T2^3 + 
      269*T2^4 - 246*T1*T2^4 - 338*T1^2*T2^4 + 1309*T1^3*T2^4 - 
      3588*T1^4*T2^4 + 961*T1^5*T2^4 + 1120*T1^6*T2^4 + 961*T1^7*T2^4 - 
      3588*T1^8*T2^4 + 1309*T1^9*T2^4 - 338*T1^10*T2^4 - 246*T1^11*T2^4 + 
      269*T1^12*T2^4 - 219*T2^5 - 246*T1*T2^5 + 911*T1^2*T2^5 - 
      910*T1^3*T2^5 + 961*T1^4*T2^5 + 5314*T1^5*T2^5 - 3647*T1^6*T2^5 - 
      3647*T1^7*T2^5 + 5314*T1^8*T2^5 + 961*T1^9*T2^5 - 910*T1^10*T2^5 + 
      911*T1^11*T2^5 - 246*T1^12*T2^5 - 219*T1^13*T2^5 + 117*T2^6 + 
      501*T1*T2^6 - 338*T1^2*T2^6 - 910*T1^3*T2^6 + 1120*T1^4*T2^6 - 
      3647*T1^5*T2^6 - 9085*T1^6*T2^6 + 17447*T1^7*T2^6 - 9085*T1^8*T2^6 - 
      3647*T1^9*T2^6 + 1120*T1^10*T2^6 - 910*T1^11*T2^6 - 338*T1^12*T2^6 + 
      501*T1^13*T2^6 + 117*T1^14*T2^6 - 44*T2^7 - 359*T1*T2^7 - 
      573*T1^2*T2^7 + 1309*T1^3*T2^7 + 961*T1^4*T2^7 - 3647*T1^5*T2^7 + 
      17447*T1^6*T2^7 - 10408*T1^7*T2^7 - 10408*T1^8*T2^7 + 17447*T1^9*T2^7 - 
      3647*T1^10*T2^7 + 961*T1^11*T2^7 + 1309*T1^12*T2^7 - 573*T1^13*T2^7 - 
      359*T1^14*T2^7 - 44*T1^15*T2^7 + 9*T2^8 + 172*T1*T2^8 + 577*T1^2*T2^8 + 
      308*T1^3*T2^8 - 3588*T1^4*T2^8 + 5314*T1^5*T2^8 - 9085*T1^6*T2^8 - 
      10408*T1^7*T2^8 + 23100*T1^8*T2^8 - 10408*T1^9*T2^8 - 9085*T1^10*T2^8 + 
      5314*T1^11*T2^8 - 3588*T1^12*T2^8 + 308*T1^13*T2^8 + 577*T1^14*T2^8 + 
      172*T1^15*T2^8 + 9*T1^16*T2^8 - 44*T1*T2^9 - 359*T1^2*T2^9 - 
      573*T1^3*T2^9 + 1309*T1^4*T2^9 + 961*T1^5*T2^9 - 3647*T1^6*T2^9 + 
      17447*T1^7*T2^9 - 10408*T1^8*T2^9 - 10408*T1^9*T2^9 + 
      17447*T1^10*T2^9 - 3647*T1^11*T2^9 + 961*T1^12*T2^9 + 1309*T1^13*T2^9 - 
      573*T1^14*T2^9 - 359*T1^15*T2^9 - 44*T1^16*T2^9 + 117*T1^2*T2^10 + 
      501*T1^3*T2^10 - 338*T1^4*T2^10 - 910*T1^5*T2^10 + 1120*T1^6*T2^10 - 
      3647*T1^7*T2^10 - 9085*T1^8*T2^10 + 17447*T1^9*T2^10 - 
      9085*T1^10*T2^10 - 3647*T1^11*T2^10 + 1120*T1^12*T2^10 - 
      910*T1^13*T2^10 - 338*T1^14*T2^10 + 501*T1^15*T2^10 + 117*T1^16*T2^10 - 
      219*T1^3*T2^11 - 246*T1^4*T2^11 + 911*T1^5*T2^11 - 910*T1^6*T2^11 + 
      961*T1^7*T2^11 + 5314*T1^8*T2^11 - 3647*T1^9*T2^11 - 3647*T1^10*T2^11 + 
      5314*T1^11*T2^11 + 961*T1^12*T2^11 - 910*T1^13*T2^11 + 
      911*T1^14*T2^11 - 246*T1^15*T2^11 - 219*T1^16*T2^11 + 269*T1^4*T2^12 - 
      246*T1^5*T2^12 - 338*T1^6*T2^12 + 1309*T1^7*T2^12 - 3588*T1^8*T2^12 + 
      961*T1^9*T2^12 + 1120*T1^10*T2^12 + 961*T1^11*T2^12 - 
      3588*T1^12*T2^12 + 1309*T1^13*T2^12 - 338*T1^14*T2^12 - 
      246*T1^15*T2^12 + 269*T1^16*T2^12 - 219*T1^5*T2^13 + 501*T1^6*T2^13 - 
      573*T1^7*T2^13 + 308*T1^8*T2^13 + 1309*T1^9*T2^13 - 910*T1^10*T2^13 - 
      910*T1^11*T2^13 + 1309*T1^12*T2^13 + 308*T1^13*T2^13 - 
      573*T1^14*T2^13 + 501*T1^15*T2^13 - 219*T1^16*T2^13 + 117*T1^6*T2^14 - 
      359*T1^7*T2^14 + 577*T1^8*T2^14 - 573*T1^9*T2^14 - 338*T1^10*T2^14 + 
      911*T1^11*T2^14 - 338*T1^12*T2^14 - 573*T1^13*T2^14 + 577*T1^14*T2^14 - 
      359*T1^15*T2^14 + 117*T1^16*T2^14 - 44*T1^7*T2^15 + 172*T1^8*T2^15 - 
      359*T1^9*T2^15 + 501*T1^10*T2^15 - 246*T1^11*T2^15 - 246*T1^12*T2^15 + 
      501*T1^13*T2^15 - 359*T1^14*T2^15 + 172*T1^15*T2^15 - 44*T1^16*T2^15 + 
      9*T1^8*T2^16 - 44*T1^9*T2^16 + 117*T1^10*T2^16 - 219*T1^11*T2^16 + 
      269*T1^12*T2^16 - 219*T1^13*T2^16 + 117*T1^14*T2^16 - 44*T1^15*T2^16 + 
      9*T1^16*T2^16)/(T1^8*T2^8))}, 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), -((7 - 39*T1 + 93*T1^2 - 143*T1^3 + 161*T1^4 - 143*T1^5 + 
      93*T1^6 - 39*T1^7 + 7*T1^8 - 39*T2 + 178*T1*T2 - 300*T1^2*T2 + 
      278*T1^3*T2 - 100*T1^4*T2 - 100*T1^5*T2 + 278*T1^6*T2 - 300*T1^7*T2 + 
      178*T1^8*T2 - 39*T1^9*T2 + 93*T2^2 - 300*T1*T2^2 + 112*T1^2*T2^2 + 
      503*T1^3*T2^2 - 1143*T1^4*T2^2 + 1302*T1^5*T2^2 - 1143*T1^6*T2^2 + 
      503*T1^7*T2^2 + 112*T1^8*T2^2 - 300*T1^9*T2^2 + 93*T1^10*T2^2 - 
      143*T2^3 + 278*T1*T2^3 + 503*T1^2*T2^3 - 1420*T1^3*T2^3 + 
      1507*T1^4*T2^3 - 480*T1^5*T2^3 - 480*T1^6*T2^3 + 1507*T1^7*T2^3 - 
      1420*T1^8*T2^3 + 503*T1^9*T2^3 + 278*T1^10*T2^3 - 143*T1^11*T2^3 + 
      161*T2^4 - 100*T1*T2^4 - 1143*T1^2*T2^4 + 1507*T1^3*T2^4 - 
      217*T1^4*T2^4 - 1730*T1^5*T2^4 + 2085*T1^6*T2^4 - 1730*T1^7*T2^4 - 
      217*T1^8*T2^4 + 1507*T1^9*T2^4 - 1143*T1^10*T2^4 - 100*T1^11*T2^4 + 
      161*T1^12*T2^4 - 143*T2^5 - 100*T1*T2^5 + 1302*T1^2*T2^5 - 
      480*T1^3*T2^5 - 1730*T1^4*T2^5 + 2766*T1^5*T2^5 - 937*T1^6*T2^5 - 
      937*T1^7*T2^5 + 2766*T1^8*T2^5 - 1730*T1^9*T2^5 - 480*T1^10*T2^5 + 
      1302*T1^11*T2^5 - 100*T1^12*T2^5 - 143*T1^13*T2^5 + 93*T2^6 + 
      278*T1*T2^6 - 1143*T1^2*T2^6 - 480*T1^3*T2^6 + 2085*T1^4*T2^6 - 
      937*T1^5*T2^6 - 2084*T1^6*T2^6 + 2900*T1^7*T2^6 - 2084*T1^8*T2^6 - 
      937*T1^9*T2^6 + 2085*T1^10*T2^6 - 480*T1^11*T2^6 - 1143*T1^12*T2^6 + 
      278*T1^13*T2^6 + 93*T1^14*T2^6 - 39*T2^7 - 300*T1*T2^7 + 
      503*T1^2*T2^7 + 1507*T1^3*T2^7 - 1730*T1^4*T2^7 - 937*T1^5*T2^7 + 
      2900*T1^6*T2^7 - 1220*T1^7*T2^7 - 1220*T1^8*T2^7 + 2900*T1^9*T2^7 - 
      937*T1^10*T2^7 - 1730*T1^11*T2^7 + 1507*T1^12*T2^7 + 503*T1^13*T2^7 - 
      300*T1^14*T2^7 - 39*T1^15*T2^7 + 7*T2^8 + 178*T1*T2^8 + 112*T1^2*T2^8 - 
      1420*T1^3*T2^8 - 217*T1^4*T2^8 + 2766*T1^5*T2^8 - 2084*T1^6*T2^8 - 
      1220*T1^7*T2^8 + 2472*T1^8*T2^8 - 1220*T1^9*T2^8 - 2084*T1^10*T2^8 + 
      2766*T1^11*T2^8 - 217*T1^12*T2^8 - 1420*T1^13*T2^8 + 112*T1^14*T2^8 + 
      178*T1^15*T2^8 + 7*T1^16*T2^8 - 39*T1*T2^9 - 300*T1^2*T2^9 + 
      503*T1^3*T2^9 + 1507*T1^4*T2^9 - 1730*T1^5*T2^9 - 937*T1^6*T2^9 + 
      2900*T1^7*T2^9 - 1220*T1^8*T2^9 - 1220*T1^9*T2^9 + 2900*T1^10*T2^9 - 
      937*T1^11*T2^9 - 1730*T1^12*T2^9 + 1507*T1^13*T2^9 + 503*T1^14*T2^9 - 
      300*T1^15*T2^9 - 39*T1^16*T2^9 + 93*T1^2*T2^10 + 278*T1^3*T2^10 - 
      1143*T1^4*T2^10 - 480*T1^5*T2^10 + 2085*T1^6*T2^10 - 937*T1^7*T2^10 - 
      2084*T1^8*T2^10 + 2900*T1^9*T2^10 - 2084*T1^10*T2^10 - 
      937*T1^11*T2^10 + 2085*T1^12*T2^10 - 480*T1^13*T2^10 - 
      1143*T1^14*T2^10 + 278*T1^15*T2^10 + 93*T1^16*T2^10 - 143*T1^3*T2^11 - 
      100*T1^4*T2^11 + 1302*T1^5*T2^11 - 480*T1^6*T2^11 - 1730*T1^7*T2^11 + 
      2766*T1^8*T2^11 - 937*T1^9*T2^11 - 937*T1^10*T2^11 + 2766*T1^11*T2^11 - 
      1730*T1^12*T2^11 - 480*T1^13*T2^11 + 1302*T1^14*T2^11 - 
      100*T1^15*T2^11 - 143*T1^16*T2^11 + 161*T1^4*T2^12 - 100*T1^5*T2^12 - 
      1143*T1^6*T2^12 + 1507*T1^7*T2^12 - 217*T1^8*T2^12 - 1730*T1^9*T2^12 + 
      2085*T1^10*T2^12 - 1730*T1^11*T2^12 - 217*T1^12*T2^12 + 
      1507*T1^13*T2^12 - 1143*T1^14*T2^12 - 100*T1^15*T2^12 + 
      161*T1^16*T2^12 - 143*T1^5*T2^13 + 278*T1^6*T2^13 + 503*T1^7*T2^13 - 
      1420*T1^8*T2^13 + 1507*T1^9*T2^13 - 480*T1^10*T2^13 - 480*T1^11*T2^13 + 
      1507*T1^12*T2^13 - 1420*T1^13*T2^13 + 503*T1^14*T2^13 + 
      278*T1^15*T2^13 - 143*T1^16*T2^13 + 93*T1^6*T2^14 - 300*T1^7*T2^14 + 
      112*T1^8*T2^14 + 503*T1^9*T2^14 - 1143*T1^10*T2^14 + 1302*T1^11*T2^14 - 
      1143*T1^12*T2^14 + 503*T1^13*T2^14 + 112*T1^14*T2^14 - 
      300*T1^15*T2^14 + 93*T1^16*T2^14 - 39*T1^7*T2^15 + 178*T1^8*T2^15 - 
      300*T1^9*T2^15 + 278*T1^10*T2^15 - 100*T1^11*T2^15 - 100*T1^12*T2^15 + 
      278*T1^13*T2^15 - 300*T1^14*T2^15 + 178*T1^15*T2^15 - 39*T1^16*T2^15 + 
      7*T1^8*T2^16 - 39*T1^9*T2^16 + 93*T1^10*T2^16 - 143*T1^11*T2^16 + 
      161*T1^12*T2^16 - 143*T1^13*T2^16 + 93*T1^14*T2^16 - 39*T1^15*T2^16 + 
      7*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 897] -> 
  {-(((2 - 3*T + 2*T^2)*(2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4))/T^3), 
   (4*T1 - 12*T1^2 + 16*T1^3 - 12*T1^4 + 4*T1^5 + 4*T2 - 38*T1*T2 + 
     66*T1^2*T2 - 34*T1^3*T2 - 34*T1^4*T2 + 66*T1^5*T2 - 38*T1^6*T2 + 
     4*T1^7*T2 - 12*T2^2 + 66*T1*T2^2 + 49*T1^2*T2^2 - 374*T1^3*T2^2 + 
     559*T1^4*T2^2 - 374*T1^5*T2^2 + 49*T1^6*T2^2 + 66*T1^7*T2^2 - 
     12*T1^8*T2^2 + 16*T2^3 - 34*T1*T2^3 - 374*T1^2*T2^3 + 902*T1^3*T2^3 - 
     508*T1^4*T2^3 - 508*T1^5*T2^3 + 902*T1^6*T2^3 - 374*T1^7*T2^3 - 
     34*T1^8*T2^3 + 16*T1^9*T2^3 - 12*T2^4 - 34*T1*T2^4 + 559*T1^2*T2^4 - 
     508*T1^3*T2^4 - 1431*T1^4*T2^4 + 2691*T1^5*T2^4 - 1431*T1^6*T2^4 - 
     508*T1^7*T2^4 + 559*T1^8*T2^4 - 34*T1^9*T2^4 - 12*T1^10*T2^4 + 4*T2^5 + 
     66*T1*T2^5 - 374*T1^2*T2^5 - 508*T1^3*T2^5 + 2691*T1^4*T2^5 - 
     1662*T1^5*T2^5 - 1662*T1^6*T2^5 + 2691*T1^7*T2^5 - 508*T1^8*T2^5 - 
     374*T1^9*T2^5 + 66*T1^10*T2^5 + 4*T1^11*T2^5 - 38*T1*T2^6 + 
     49*T1^2*T2^6 + 902*T1^3*T2^6 - 1431*T1^4*T2^6 - 1662*T1^5*T2^6 + 
     3780*T1^6*T2^6 - 1662*T1^7*T2^6 - 1431*T1^8*T2^6 + 902*T1^9*T2^6 + 
     49*T1^10*T2^6 - 38*T1^11*T2^6 + 4*T1*T2^7 + 66*T1^2*T2^7 - 
     374*T1^3*T2^7 - 508*T1^4*T2^7 + 2691*T1^5*T2^7 - 1662*T1^6*T2^7 - 
     1662*T1^7*T2^7 + 2691*T1^8*T2^7 - 508*T1^9*T2^7 - 374*T1^10*T2^7 + 
     66*T1^11*T2^7 + 4*T1^12*T2^7 - 12*T1^2*T2^8 - 34*T1^3*T2^8 + 
     559*T1^4*T2^8 - 508*T1^5*T2^8 - 1431*T1^6*T2^8 + 2691*T1^7*T2^8 - 
     1431*T1^8*T2^8 - 508*T1^9*T2^8 + 559*T1^10*T2^8 - 34*T1^11*T2^8 - 
     12*T1^12*T2^8 + 16*T1^3*T2^9 - 34*T1^4*T2^9 - 374*T1^5*T2^9 + 
     902*T1^6*T2^9 - 508*T1^7*T2^9 - 508*T1^8*T2^9 + 902*T1^9*T2^9 - 
     374*T1^10*T2^9 - 34*T1^11*T2^9 + 16*T1^12*T2^9 - 12*T1^4*T2^10 + 
     66*T1^5*T2^10 + 49*T1^6*T2^10 - 374*T1^7*T2^10 + 559*T1^8*T2^10 - 
     374*T1^9*T2^10 + 49*T1^10*T2^10 + 66*T1^11*T2^10 - 12*T1^12*T2^10 + 
     4*T1^5*T2^11 - 38*T1^6*T2^11 + 66*T1^7*T2^11 - 34*T1^8*T2^11 - 
     34*T1^9*T2^11 + 66*T1^10*T2^11 - 38*T1^11*T2^11 + 4*T1^12*T2^11 + 
     4*T1^7*T2^12 - 12*T1^8*T2^12 + 16*T1^9*T2^12 - 12*T1^10*T2^12 + 
     4*T1^11*T2^12)/(T1^6*T2^6)}, 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, -((1 - 4*T1 + 11*T1^2 - 21*T1^3 + 30*T1^4 - 33*T1^5 + 
      30*T1^6 - 21*T1^7 + 11*T1^8 - 4*T1^9 + T1^10 - 4*T2 + 12*T1*T2 - 
      28*T1^2*T2 + 40*T1^3*T2 - 36*T1^4*T2 + 12*T1^5*T2 + 12*T1^6*T2 - 
      36*T1^7*T2 + 40*T1^8*T2 - 28*T1^9*T2 + 12*T1^10*T2 - 4*T1^11*T2 + 
      11*T2^2 - 28*T1*T2^2 + 67*T1^2*T2^2 - 95*T1^3*T2^2 + 104*T1^4*T2^2 - 
      91*T1^5*T2^2 + 101*T1^6*T2^2 - 91*T1^7*T2^2 + 104*T1^8*T2^2 - 
      95*T1^9*T2^2 + 67*T1^10*T2^2 - 28*T1^11*T2^2 + 11*T1^12*T2^2 - 
      21*T2^3 + 40*T1*T2^3 - 95*T1^2*T2^3 + 100*T1^3*T2^3 - 79*T1^4*T2^3 + 
      22*T1^5*T2^3 - 28*T1^6*T2^3 - 28*T1^7*T2^3 + 22*T1^8*T2^3 - 
      79*T1^9*T2^3 + 100*T1^10*T2^3 - 95*T1^11*T2^3 + 40*T1^12*T2^3 - 
      21*T1^13*T2^3 + 30*T2^4 - 36*T1*T2^4 + 104*T1^2*T2^4 - 79*T1^3*T2^4 + 
      102*T1^4*T2^4 - 115*T1^5*T2^4 + 257*T1^6*T2^4 - 214*T1^7*T2^4 + 
      257*T1^8*T2^4 - 115*T1^9*T2^4 + 102*T1^10*T2^4 - 79*T1^11*T2^4 + 
      104*T1^12*T2^4 - 36*T1^13*T2^4 + 30*T1^14*T2^4 - 33*T2^5 + 12*T1*T2^5 - 
      91*T1^2*T2^5 + 22*T1^3*T2^5 - 115*T1^4*T2^5 + 134*T1^5*T2^5 - 
      257*T1^6*T2^5 + 7*T1^7*T2^5 + 7*T1^8*T2^5 - 257*T1^9*T2^5 + 
      134*T1^10*T2^5 - 115*T1^11*T2^5 + 22*T1^12*T2^5 - 91*T1^13*T2^5 + 
      12*T1^14*T2^5 - 33*T1^15*T2^5 + 30*T2^6 + 12*T1*T2^6 + 101*T1^2*T2^6 - 
      28*T1^3*T2^6 + 257*T1^4*T2^6 - 257*T1^5*T2^6 + 343*T1^6*T2^6 + 
      20*T1^7*T2^6 + 141*T1^8*T2^6 + 20*T1^9*T2^6 + 343*T1^10*T2^6 - 
      257*T1^11*T2^6 + 257*T1^12*T2^6 - 28*T1^13*T2^6 + 101*T1^14*T2^6 + 
      12*T1^15*T2^6 + 30*T1^16*T2^6 - 21*T2^7 - 36*T1*T2^7 - 91*T1^2*T2^7 - 
      28*T1^3*T2^7 - 214*T1^4*T2^7 + 7*T1^5*T2^7 + 20*T1^6*T2^7 - 
      402*T1^7*T2^7 - 33*T1^8*T2^7 - 33*T1^9*T2^7 - 402*T1^10*T2^7 + 
      20*T1^11*T2^7 + 7*T1^12*T2^7 - 214*T1^13*T2^7 - 28*T1^14*T2^7 - 
      91*T1^15*T2^7 - 36*T1^16*T2^7 - 21*T1^17*T2^7 + 11*T2^8 + 40*T1*T2^8 + 
      104*T1^2*T2^8 + 22*T1^3*T2^8 + 257*T1^4*T2^8 + 7*T1^5*T2^8 + 
      141*T1^6*T2^8 - 33*T1^7*T2^8 + 779*T1^8*T2^8 - 629*T1^9*T2^8 + 
      779*T1^10*T2^8 - 33*T1^11*T2^8 + 141*T1^12*T2^8 + 7*T1^13*T2^8 + 
      257*T1^14*T2^8 + 22*T1^15*T2^8 + 104*T1^16*T2^8 + 40*T1^17*T2^8 + 
      11*T1^18*T2^8 - 4*T2^9 - 28*T1*T2^9 - 95*T1^2*T2^9 - 79*T1^3*T2^9 - 
      115*T1^4*T2^9 - 257*T1^5*T2^9 + 20*T1^6*T2^9 - 33*T1^7*T2^9 - 
      629*T1^8*T2^9 + 66*T1^9*T2^9 + 66*T1^10*T2^9 - 629*T1^11*T2^9 - 
      33*T1^12*T2^9 + 20*T1^13*T2^9 - 257*T1^14*T2^9 - 115*T1^15*T2^9 - 
      79*T1^16*T2^9 - 95*T1^17*T2^9 - 28*T1^18*T2^9 - 4*T1^19*T2^9 + T2^10 + 
      12*T1*T2^10 + 67*T1^2*T2^10 + 100*T1^3*T2^10 + 102*T1^4*T2^10 + 
      134*T1^5*T2^10 + 343*T1^6*T2^10 - 402*T1^7*T2^10 + 779*T1^8*T2^10 + 
      66*T1^9*T2^10 + 66*T1^11*T2^10 + 779*T1^12*T2^10 - 402*T1^13*T2^10 + 
      343*T1^14*T2^10 + 134*T1^15*T2^10 + 102*T1^16*T2^10 + 100*T1^17*T2^10 + 
      67*T1^18*T2^10 + 12*T1^19*T2^10 + T1^20*T2^10 - 4*T1*T2^11 - 
      28*T1^2*T2^11 - 95*T1^3*T2^11 - 79*T1^4*T2^11 - 115*T1^5*T2^11 - 
      257*T1^6*T2^11 + 20*T1^7*T2^11 - 33*T1^8*T2^11 - 629*T1^9*T2^11 + 
      66*T1^10*T2^11 + 66*T1^11*T2^11 - 629*T1^12*T2^11 - 33*T1^13*T2^11 + 
      20*T1^14*T2^11 - 257*T1^15*T2^11 - 115*T1^16*T2^11 - 79*T1^17*T2^11 - 
      95*T1^18*T2^11 - 28*T1^19*T2^11 - 4*T1^20*T2^11 + 11*T1^2*T2^12 + 
      40*T1^3*T2^12 + 104*T1^4*T2^12 + 22*T1^5*T2^12 + 257*T1^6*T2^12 + 
      7*T1^7*T2^12 + 141*T1^8*T2^12 - 33*T1^9*T2^12 + 779*T1^10*T2^12 - 
      629*T1^11*T2^12 + 779*T1^12*T2^12 - 33*T1^13*T2^12 + 141*T1^14*T2^12 + 
      7*T1^15*T2^12 + 257*T1^16*T2^12 + 22*T1^17*T2^12 + 104*T1^18*T2^12 + 
      40*T1^19*T2^12 + 11*T1^20*T2^12 - 21*T1^3*T2^13 - 36*T1^4*T2^13 - 
      91*T1^5*T2^13 - 28*T1^6*T2^13 - 214*T1^7*T2^13 + 7*T1^8*T2^13 + 
      20*T1^9*T2^13 - 402*T1^10*T2^13 - 33*T1^11*T2^13 - 33*T1^12*T2^13 - 
      402*T1^13*T2^13 + 20*T1^14*T2^13 + 7*T1^15*T2^13 - 214*T1^16*T2^13 - 
      28*T1^17*T2^13 - 91*T1^18*T2^13 - 36*T1^19*T2^13 - 21*T1^20*T2^13 + 
      30*T1^4*T2^14 + 12*T1^5*T2^14 + 101*T1^6*T2^14 - 28*T1^7*T2^14 + 
      257*T1^8*T2^14 - 257*T1^9*T2^14 + 343*T1^10*T2^14 + 20*T1^11*T2^14 + 
      141*T1^12*T2^14 + 20*T1^13*T2^14 + 343*T1^14*T2^14 - 257*T1^15*T2^14 + 
      257*T1^16*T2^14 - 28*T1^17*T2^14 + 101*T1^18*T2^14 + 12*T1^19*T2^14 + 
      30*T1^20*T2^14 - 33*T1^5*T2^15 + 12*T1^6*T2^15 - 91*T1^7*T2^15 + 
      22*T1^8*T2^15 - 115*T1^9*T2^15 + 134*T1^10*T2^15 - 257*T1^11*T2^15 + 
      7*T1^12*T2^15 + 7*T1^13*T2^15 - 257*T1^14*T2^15 + 134*T1^15*T2^15 - 
      115*T1^16*T2^15 + 22*T1^17*T2^15 - 91*T1^18*T2^15 + 12*T1^19*T2^15 - 
      33*T1^20*T2^15 + 30*T1^6*T2^16 - 36*T1^7*T2^16 + 104*T1^8*T2^16 - 
      79*T1^9*T2^16 + 102*T1^10*T2^16 - 115*T1^11*T2^16 + 257*T1^12*T2^16 - 
      214*T1^13*T2^16 + 257*T1^14*T2^16 - 115*T1^15*T2^16 + 102*T1^16*T2^16 - 
      79*T1^17*T2^16 + 104*T1^18*T2^16 - 36*T1^19*T2^16 + 30*T1^20*T2^16 - 
      21*T1^7*T2^17 + 40*T1^8*T2^17 - 95*T1^9*T2^17 + 100*T1^10*T2^17 - 
      79*T1^11*T2^17 + 22*T1^12*T2^17 - 28*T1^13*T2^17 - 28*T1^14*T2^17 + 
      22*T1^15*T2^17 - 79*T1^16*T2^17 + 100*T1^17*T2^17 - 95*T1^18*T2^17 + 
      40*T1^19*T2^17 - 21*T1^20*T2^17 + 11*T1^8*T2^18 - 28*T1^9*T2^18 + 
      67*T1^10*T2^18 - 95*T1^11*T2^18 + 104*T1^12*T2^18 - 91*T1^13*T2^18 + 
      101*T1^14*T2^18 - 91*T1^15*T2^18 + 104*T1^16*T2^18 - 95*T1^17*T2^18 + 
      67*T1^18*T2^18 - 28*T1^19*T2^18 + 11*T1^20*T2^18 - 4*T1^9*T2^19 + 
      12*T1^10*T2^19 - 28*T1^11*T2^19 + 40*T1^12*T2^19 - 36*T1^13*T2^19 + 
      12*T1^14*T2^19 + 12*T1^15*T2^19 - 36*T1^16*T2^19 + 40*T1^17*T2^19 - 
      28*T1^18*T2^19 + 12*T1^19*T2^19 - 4*T1^20*T2^19 + T1^10*T2^20 - 
      4*T1^11*T2^20 + 11*T1^12*T2^20 - 21*T1^13*T2^20 + 30*T1^14*T2^20 - 
      33*T1^15*T2^20 + 30*T1^16*T2^20 - 21*T1^17*T2^20 + 11*T1^18*T2^20 - 
      4*T1^19*T2^20 + T1^20*T2^20)/(T1^10*T2^10))}, 
 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, -((1 - 4*T1 + 10*T1^2 - 17*T1^3 + 21*T1^4 - 17*T1^5 + 10*T1^6 - 
      4*T1^7 + T1^8 - 4*T2 + 12*T1*T2 - 24*T1^2*T2 + 28*T1^3*T2 - 
      16*T1^4*T2 - 16*T1^5*T2 + 28*T1^6*T2 - 24*T1^7*T2 + 12*T1^8*T2 - 
      4*T1^9*T2 + 10*T2^2 - 24*T1*T2^2 + 46*T1^2*T2^2 - 54*T1^3*T2^2 + 
      62*T1^4*T2^2 - 44*T1^5*T2^2 + 62*T1^6*T2^2 - 54*T1^7*T2^2 + 
      46*T1^8*T2^2 - 24*T1^9*T2^2 + 10*T1^10*T2^2 - 17*T2^3 + 28*T1*T2^3 - 
      54*T1^2*T2^3 + 54*T1^3*T2^3 - 89*T1^4*T2^3 + 19*T1^5*T2^3 + 
      19*T1^6*T2^3 - 89*T1^7*T2^3 + 54*T1^8*T2^3 - 54*T1^9*T2^3 + 
      28*T1^10*T2^3 - 17*T1^11*T2^3 + 21*T2^4 - 16*T1*T2^4 + 62*T1^2*T2^4 - 
      89*T1^3*T2^4 + 234*T1^4*T2^4 - 126*T1^5*T2^4 + 140*T1^6*T2^4 - 
      126*T1^7*T2^4 + 234*T1^8*T2^4 - 89*T1^9*T2^4 + 62*T1^10*T2^4 - 
      16*T1^11*T2^4 + 21*T1^12*T2^4 - 17*T2^5 - 16*T1*T2^5 - 44*T1^2*T2^5 + 
      19*T1^3*T2^5 - 126*T1^4*T2^5 - 180*T1^5*T2^5 + 29*T1^6*T2^5 + 
      29*T1^7*T2^5 - 180*T1^8*T2^5 - 126*T1^9*T2^5 + 19*T1^10*T2^5 - 
      44*T1^11*T2^5 - 16*T1^12*T2^5 - 17*T1^13*T2^5 + 10*T2^6 + 28*T1*T2^6 + 
      62*T1^2*T2^6 + 19*T1^3*T2^6 + 140*T1^4*T2^6 + 29*T1^5*T2^6 + 
      595*T1^6*T2^6 - 603*T1^7*T2^6 + 595*T1^8*T2^6 + 29*T1^9*T2^6 + 
      140*T1^10*T2^6 + 19*T1^11*T2^6 + 62*T1^12*T2^6 + 28*T1^13*T2^6 + 
      10*T1^14*T2^6 - 4*T2^7 - 24*T1*T2^7 - 54*T1^2*T2^7 - 89*T1^3*T2^7 - 
      126*T1^4*T2^7 + 29*T1^5*T2^7 - 603*T1^6*T2^7 + 58*T1^7*T2^7 + 
      58*T1^8*T2^7 - 603*T1^9*T2^7 + 29*T1^10*T2^7 - 126*T1^11*T2^7 - 
      89*T1^12*T2^7 - 54*T1^13*T2^7 - 24*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 
      12*T1*T2^8 + 46*T1^2*T2^8 + 54*T1^3*T2^8 + 234*T1^4*T2^8 - 
      180*T1^5*T2^8 + 595*T1^6*T2^8 + 58*T1^7*T2^8 + 180*T1^8*T2^8 + 
      58*T1^9*T2^8 + 595*T1^10*T2^8 - 180*T1^11*T2^8 + 234*T1^12*T2^8 + 
      54*T1^13*T2^8 + 46*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 
      4*T1*T2^9 - 24*T1^2*T2^9 - 54*T1^3*T2^9 - 89*T1^4*T2^9 - 
      126*T1^5*T2^9 + 29*T1^6*T2^9 - 603*T1^7*T2^9 + 58*T1^8*T2^9 + 
      58*T1^9*T2^9 - 603*T1^10*T2^9 + 29*T1^11*T2^9 - 126*T1^12*T2^9 - 
      89*T1^13*T2^9 - 54*T1^14*T2^9 - 24*T1^15*T2^9 - 4*T1^16*T2^9 + 
      10*T1^2*T2^10 + 28*T1^3*T2^10 + 62*T1^4*T2^10 + 19*T1^5*T2^10 + 
      140*T1^6*T2^10 + 29*T1^7*T2^10 + 595*T1^8*T2^10 - 603*T1^9*T2^10 + 
      595*T1^10*T2^10 + 29*T1^11*T2^10 + 140*T1^12*T2^10 + 19*T1^13*T2^10 + 
      62*T1^14*T2^10 + 28*T1^15*T2^10 + 10*T1^16*T2^10 - 17*T1^3*T2^11 - 
      16*T1^4*T2^11 - 44*T1^5*T2^11 + 19*T1^6*T2^11 - 126*T1^7*T2^11 - 
      180*T1^8*T2^11 + 29*T1^9*T2^11 + 29*T1^10*T2^11 - 180*T1^11*T2^11 - 
      126*T1^12*T2^11 + 19*T1^13*T2^11 - 44*T1^14*T2^11 - 16*T1^15*T2^11 - 
      17*T1^16*T2^11 + 21*T1^4*T2^12 - 16*T1^5*T2^12 + 62*T1^6*T2^12 - 
      89*T1^7*T2^12 + 234*T1^8*T2^12 - 126*T1^9*T2^12 + 140*T1^10*T2^12 - 
      126*T1^11*T2^12 + 234*T1^12*T2^12 - 89*T1^13*T2^12 + 62*T1^14*T2^12 - 
      16*T1^15*T2^12 + 21*T1^16*T2^12 - 17*T1^5*T2^13 + 28*T1^6*T2^13 - 
      54*T1^7*T2^13 + 54*T1^8*T2^13 - 89*T1^9*T2^13 + 19*T1^10*T2^13 + 
      19*T1^11*T2^13 - 89*T1^12*T2^13 + 54*T1^13*T2^13 - 54*T1^14*T2^13 + 
      28*T1^15*T2^13 - 17*T1^16*T2^13 + 10*T1^6*T2^14 - 24*T1^7*T2^14 + 
      46*T1^8*T2^14 - 54*T1^9*T2^14 + 62*T1^10*T2^14 - 44*T1^11*T2^14 + 
      62*T1^12*T2^14 - 54*T1^13*T2^14 + 46*T1^14*T2^14 - 24*T1^15*T2^14 + 
      10*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 24*T1^9*T2^15 + 
      28*T1^10*T2^15 - 16*T1^11*T2^15 - 16*T1^12*T2^15 + 28*T1^13*T2^15 - 
      24*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 
      4*T1^9*T2^16 + 10*T1^10*T2^16 - 17*T1^11*T2^16 + 21*T1^12*T2^16 - 
      17*T1^13*T2^16 + 10*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 900] -> 
  {(8 - 29*T + 54*T^2 - 65*T^3 + 54*T^4 - 29*T^5 + 8*T^6)/T^3, 
   (1624 - 5739*T1 + 10538*T1^2 - 12616*T1^3 + 10538*T1^4 - 5739*T1^5 + 
     1624*T1^6 - 5739*T2 + 14668*T1*T2 - 17214*T1^2*T2 + 7490*T1^3*T2 + 
     7490*T1^4*T2 - 17214*T1^5*T2 + 14668*T1^6*T2 - 5739*T1^7*T2 + 
     10538*T2^2 - 17214*T1*T2^2 + 6559*T1^2*T2^2 + 15480*T1^3*T2^2 - 
     25173*T1^4*T2^2 + 15480*T1^5*T2^2 + 6559*T1^6*T2^2 - 17214*T1^7*T2^2 + 
     10538*T1^8*T2^2 - 12616*T2^3 + 7490*T1*T2^3 + 15480*T1^2*T2^3 - 
     30654*T1^3*T2^3 + 13820*T1^4*T2^3 + 13820*T1^5*T2^3 - 30654*T1^6*T2^3 + 
     15480*T1^7*T2^3 + 7490*T1^8*T2^3 - 12616*T1^9*T2^3 + 10538*T2^4 + 
     7490*T1*T2^4 - 25173*T1^2*T2^4 + 13820*T1^3*T2^4 + 23718*T1^4*T2^4 - 
     38232*T1^5*T2^4 + 23718*T1^6*T2^4 + 13820*T1^7*T2^4 - 25173*T1^8*T2^4 + 
     7490*T1^9*T2^4 + 10538*T1^10*T2^4 - 5739*T2^5 - 17214*T1*T2^5 + 
     15480*T1^2*T2^5 + 13820*T1^3*T2^5 - 38232*T1^4*T2^5 + 16436*T1^5*T2^5 + 
     16436*T1^6*T2^5 - 38232*T1^7*T2^5 + 13820*T1^8*T2^5 + 15480*T1^9*T2^5 - 
     17214*T1^10*T2^5 - 5739*T1^11*T2^5 + 1624*T2^6 + 14668*T1*T2^6 + 
     6559*T1^2*T2^6 - 30654*T1^3*T2^6 + 23718*T1^4*T2^6 + 16436*T1^5*T2^6 - 
     30480*T1^6*T2^6 + 16436*T1^7*T2^6 + 23718*T1^8*T2^6 - 30654*T1^9*T2^6 + 
     6559*T1^10*T2^6 + 14668*T1^11*T2^6 + 1624*T1^12*T2^6 - 5739*T1*T2^7 - 
     17214*T1^2*T2^7 + 15480*T1^3*T2^7 + 13820*T1^4*T2^7 - 38232*T1^5*T2^7 + 
     16436*T1^6*T2^7 + 16436*T1^7*T2^7 - 38232*T1^8*T2^7 + 13820*T1^9*T2^7 + 
     15480*T1^10*T2^7 - 17214*T1^11*T2^7 - 5739*T1^12*T2^7 + 
     10538*T1^2*T2^8 + 7490*T1^3*T2^8 - 25173*T1^4*T2^8 + 13820*T1^5*T2^8 + 
     23718*T1^6*T2^8 - 38232*T1^7*T2^8 + 23718*T1^8*T2^8 + 13820*T1^9*T2^8 - 
     25173*T1^10*T2^8 + 7490*T1^11*T2^8 + 10538*T1^12*T2^8 - 
     12616*T1^3*T2^9 + 7490*T1^4*T2^9 + 15480*T1^5*T2^9 - 30654*T1^6*T2^9 + 
     13820*T1^7*T2^9 + 13820*T1^8*T2^9 - 30654*T1^9*T2^9 + 15480*T1^10*T2^9 + 
     7490*T1^11*T2^9 - 12616*T1^12*T2^9 + 10538*T1^4*T2^10 - 
     17214*T1^5*T2^10 + 6559*T1^6*T2^10 + 15480*T1^7*T2^10 - 
     25173*T1^8*T2^10 + 15480*T1^9*T2^10 + 6559*T1^10*T2^10 - 
     17214*T1^11*T2^10 + 10538*T1^12*T2^10 - 5739*T1^5*T2^11 + 
     14668*T1^6*T2^11 - 17214*T1^7*T2^11 + 7490*T1^8*T2^11 + 
     7490*T1^9*T2^11 - 17214*T1^10*T2^11 + 14668*T1^11*T2^11 - 
     5739*T1^12*T2^11 + 1624*T1^6*T2^12 - 5739*T1^7*T2^12 + 
     10538*T1^8*T2^12 - 12616*T1^9*T2^12 + 10538*T1^10*T2^12 - 
     5739*T1^11*T2^12 + 1624*T1^12*T2^12)/(T1^6*T2^6)}, 
 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), (1 - 9*T1 + 27*T1^2 - 47*T1^3 + 55*T1^4 - 47*T1^5 + 27*T1^6 - 
     9*T1^7 + T1^8 - 9*T2 + 72*T1*T2 - 162*T1^2*T2 + 180*T1^3*T2 - 
     72*T1^4*T2 - 72*T1^5*T2 + 180*T1^6*T2 - 162*T1^7*T2 + 72*T1^8*T2 - 
     9*T1^9*T2 + 27*T2^2 - 162*T1*T2^2 + 26*T1^2*T2^2 + 682*T1^3*T2^2 - 
     1606*T1^4*T2^2 + 1932*T1^5*T2^2 - 1606*T1^6*T2^2 + 682*T1^7*T2^2 + 
     26*T1^8*T2^2 - 162*T1^9*T2^2 + 27*T1^10*T2^2 - 47*T2^3 + 180*T1*T2^3 + 
     682*T1^2*T2^3 - 2278*T1^3*T2^3 + 2823*T1^4*T2^3 - 1081*T1^5*T2^3 - 
     1081*T1^6*T2^3 + 2823*T1^7*T2^3 - 2278*T1^8*T2^3 + 682*T1^9*T2^3 + 
     180*T1^10*T2^3 - 47*T1^11*T2^3 + 55*T2^4 - 72*T1*T2^4 - 1606*T1^2*T2^4 + 
     2823*T1^3*T2^4 - 790*T1^4*T2^4 - 3692*T1^5*T2^4 + 5058*T1^6*T2^4 - 
     3692*T1^7*T2^4 - 790*T1^8*T2^4 + 2823*T1^9*T2^4 - 1606*T1^10*T2^4 - 
     72*T1^11*T2^4 + 55*T1^12*T2^4 - 47*T2^5 - 72*T1*T2^5 + 1932*T1^2*T2^5 - 
     1081*T1^3*T2^5 - 3692*T1^4*T2^5 + 7406*T1^5*T2^5 - 3008*T1^6*T2^5 - 
     3008*T1^7*T2^5 + 7406*T1^8*T2^5 - 3692*T1^9*T2^5 - 1081*T1^10*T2^5 + 
     1932*T1^11*T2^5 - 72*T1^12*T2^5 - 47*T1^13*T2^5 + 27*T2^6 + 
     180*T1*T2^6 - 1606*T1^2*T2^6 - 1081*T1^3*T2^6 + 5058*T1^4*T2^6 - 
     3008*T1^5*T2^6 - 7485*T1^6*T2^6 + 11639*T1^7*T2^6 - 7485*T1^8*T2^6 - 
     3008*T1^9*T2^6 + 5058*T1^10*T2^6 - 1081*T1^11*T2^6 - 1606*T1^12*T2^6 + 
     180*T1^13*T2^6 + 27*T1^14*T2^6 - 9*T2^7 - 162*T1*T2^7 + 682*T1^2*T2^7 + 
     2823*T1^3*T2^7 - 3692*T1^4*T2^7 - 3008*T1^5*T2^7 + 11639*T1^6*T2^7 - 
     5762*T1^7*T2^7 - 5762*T1^8*T2^7 + 11639*T1^9*T2^7 - 3008*T1^10*T2^7 - 
     3692*T1^11*T2^7 + 2823*T1^12*T2^7 + 682*T1^13*T2^7 - 162*T1^14*T2^7 - 
     9*T1^15*T2^7 + T2^8 + 72*T1*T2^8 + 26*T1^2*T2^8 - 2278*T1^3*T2^8 - 
     790*T1^4*T2^8 + 7406*T1^5*T2^8 - 7485*T1^6*T2^8 - 5762*T1^7*T2^8 + 
     12336*T1^8*T2^8 - 5762*T1^9*T2^8 - 7485*T1^10*T2^8 + 7406*T1^11*T2^8 - 
     790*T1^12*T2^8 - 2278*T1^13*T2^8 + 26*T1^14*T2^8 + 72*T1^15*T2^8 + 
     T1^16*T2^8 - 9*T1*T2^9 - 162*T1^2*T2^9 + 682*T1^3*T2^9 + 
     2823*T1^4*T2^9 - 3692*T1^5*T2^9 - 3008*T1^6*T2^9 + 11639*T1^7*T2^9 - 
     5762*T1^8*T2^9 - 5762*T1^9*T2^9 + 11639*T1^10*T2^9 - 3008*T1^11*T2^9 - 
     3692*T1^12*T2^9 + 2823*T1^13*T2^9 + 682*T1^14*T2^9 - 162*T1^15*T2^9 - 
     9*T1^16*T2^9 + 27*T1^2*T2^10 + 180*T1^3*T2^10 - 1606*T1^4*T2^10 - 
     1081*T1^5*T2^10 + 5058*T1^6*T2^10 - 3008*T1^7*T2^10 - 7485*T1^8*T2^10 + 
     11639*T1^9*T2^10 - 7485*T1^10*T2^10 - 3008*T1^11*T2^10 + 
     5058*T1^12*T2^10 - 1081*T1^13*T2^10 - 1606*T1^14*T2^10 + 
     180*T1^15*T2^10 + 27*T1^16*T2^10 - 47*T1^3*T2^11 - 72*T1^4*T2^11 + 
     1932*T1^5*T2^11 - 1081*T1^6*T2^11 - 3692*T1^7*T2^11 + 7406*T1^8*T2^11 - 
     3008*T1^9*T2^11 - 3008*T1^10*T2^11 + 7406*T1^11*T2^11 - 
     3692*T1^12*T2^11 - 1081*T1^13*T2^11 + 1932*T1^14*T2^11 - 
     72*T1^15*T2^11 - 47*T1^16*T2^11 + 55*T1^4*T2^12 - 72*T1^5*T2^12 - 
     1606*T1^6*T2^12 + 2823*T1^7*T2^12 - 790*T1^8*T2^12 - 3692*T1^9*T2^12 + 
     5058*T1^10*T2^12 - 3692*T1^11*T2^12 - 790*T1^12*T2^12 + 
     2823*T1^13*T2^12 - 1606*T1^14*T2^12 - 72*T1^15*T2^12 + 55*T1^16*T2^12 - 
     47*T1^5*T2^13 + 180*T1^6*T2^13 + 682*T1^7*T2^13 - 2278*T1^8*T2^13 + 
     2823*T1^9*T2^13 - 1081*T1^10*T2^13 - 1081*T1^11*T2^13 + 
     2823*T1^12*T2^13 - 2278*T1^13*T2^13 + 682*T1^14*T2^13 + 
     180*T1^15*T2^13 - 47*T1^16*T2^13 + 27*T1^6*T2^14 - 162*T1^7*T2^14 + 
     26*T1^8*T2^14 + 682*T1^9*T2^14 - 1606*T1^10*T2^14 + 1932*T1^11*T2^14 - 
     1606*T1^12*T2^14 + 682*T1^13*T2^14 + 26*T1^14*T2^14 - 162*T1^15*T2^14 + 
     27*T1^16*T2^14 - 9*T1^7*T2^15 + 72*T1^8*T2^15 - 162*T1^9*T2^15 + 
     180*T1^10*T2^15 - 72*T1^11*T2^15 - 72*T1^12*T2^15 + 180*T1^13*T2^15 - 
     162*T1^14*T2^15 + 72*T1^15*T2^15 - 9*T1^16*T2^15 + T1^8*T2^16 - 
     9*T1^9*T2^16 + 27*T1^10*T2^16 - 47*T1^11*T2^16 + 55*T1^12*T2^16 - 
     47*T1^13*T2^16 + 27*T1^14*T2^16 - 9*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 902] -> 
  {-((2 - 18*T + 51*T^2 - 71*T^3 + 51*T^4 - 18*T^5 + 2*T^6)/T^3), 
   (1 - 9*T1 + 26*T1^2 - 37*T1^3 + 26*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
     72*T1*T2 - 153*T1^2*T2 + 99*T1^3*T2 + 99*T1^4*T2 - 153*T1^5*T2 + 
     72*T1^6*T2 - 9*T1^7*T2 + 26*T2^2 - 153*T1*T2^2 - 51*T1^2*T2^2 + 
     1012*T1^3*T2^2 - 1807*T1^4*T2^2 + 1012*T1^5*T2^2 - 51*T1^6*T2^2 - 
     153*T1^7*T2^2 + 26*T1^8*T2^2 - 37*T2^3 + 99*T1*T2^3 + 1012*T1^2*T2^3 - 
     2934*T1^3*T2^3 + 2165*T1^4*T2^3 + 2165*T1^5*T2^3 - 2934*T1^6*T2^3 + 
     1012*T1^7*T2^3 + 99*T1^8*T2^3 - 37*T1^9*T2^3 + 26*T2^4 + 99*T1*T2^4 - 
     1807*T1^2*T2^4 + 2165*T1^3*T2^4 + 3141*T1^4*T2^4 - 8935*T1^5*T2^4 + 
     3141*T1^6*T2^4 + 2165*T1^7*T2^4 - 1807*T1^8*T2^4 + 99*T1^9*T2^4 + 
     26*T1^10*T2^4 - 9*T2^5 - 153*T1*T2^5 + 1012*T1^2*T2^5 + 2165*T1^3*T2^5 - 
     8935*T1^4*T2^5 + 7452*T1^5*T2^5 + 7452*T1^6*T2^5 - 8935*T1^7*T2^5 + 
     2165*T1^8*T2^5 + 1012*T1^9*T2^5 - 153*T1^10*T2^5 - 9*T1^11*T2^5 + T2^6 + 
     72*T1*T2^6 - 51*T1^2*T2^6 - 2934*T1^3*T2^6 + 3141*T1^4*T2^6 + 
     7452*T1^5*T2^6 - 19092*T1^6*T2^6 + 7452*T1^7*T2^6 + 3141*T1^8*T2^6 - 
     2934*T1^9*T2^6 - 51*T1^10*T2^6 + 72*T1^11*T2^6 + T1^12*T2^6 - 
     9*T1*T2^7 - 153*T1^2*T2^7 + 1012*T1^3*T2^7 + 2165*T1^4*T2^7 - 
     8935*T1^5*T2^7 + 7452*T1^6*T2^7 + 7452*T1^7*T2^7 - 8935*T1^8*T2^7 + 
     2165*T1^9*T2^7 + 1012*T1^10*T2^7 - 153*T1^11*T2^7 - 9*T1^12*T2^7 + 
     26*T1^2*T2^8 + 99*T1^3*T2^8 - 1807*T1^4*T2^8 + 2165*T1^5*T2^8 + 
     3141*T1^6*T2^8 - 8935*T1^7*T2^8 + 3141*T1^8*T2^8 + 2165*T1^9*T2^8 - 
     1807*T1^10*T2^8 + 99*T1^11*T2^8 + 26*T1^12*T2^8 - 37*T1^3*T2^9 + 
     99*T1^4*T2^9 + 1012*T1^5*T2^9 - 2934*T1^6*T2^9 + 2165*T1^7*T2^9 + 
     2165*T1^8*T2^9 - 2934*T1^9*T2^9 + 1012*T1^10*T2^9 + 99*T1^11*T2^9 - 
     37*T1^12*T2^9 + 26*T1^4*T2^10 - 153*T1^5*T2^10 - 51*T1^6*T2^10 + 
     1012*T1^7*T2^10 - 1807*T1^8*T2^10 + 1012*T1^9*T2^10 - 51*T1^10*T2^10 - 
     153*T1^11*T2^10 + 26*T1^12*T2^10 - 9*T1^5*T2^11 + 72*T1^6*T2^11 - 
     153*T1^7*T2^11 + 99*T1^8*T2^11 + 99*T1^9*T2^11 - 153*T1^10*T2^11 + 
     72*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 
     26*T1^8*T2^12 - 37*T1^9*T2^12 + 26*T1^10*T2^12 - 9*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 903] -> 
  {-(((1 - T + T^2)*(5 - 21*T + 31*T^2 - 21*T^3 + 5*T^4))/T^3), 
   -((270 - 1375*T1 + 2969*T1^2 - 3790*T1^3 + 2969*T1^4 - 1375*T1^5 + 
      270*T1^6 - 1375*T2 + 5646*T1*T2 - 8177*T1^2*T2 + 4216*T1^3*T2 + 
      4216*T1^4*T2 - 8177*T1^5*T2 + 5646*T1^6*T2 - 1375*T1^7*T2 + 2969*T2^2 - 
      8177*T1*T2^2 + 68*T1^2*T2^2 + 20548*T1^3*T2^2 - 33626*T1^4*T2^2 + 
      20548*T1^5*T2^2 + 68*T1^6*T2^2 - 8177*T1^7*T2^2 + 2969*T1^8*T2^2 - 
      3790*T2^3 + 4216*T1*T2^3 + 20548*T1^2*T2^3 - 41766*T1^3*T2^3 + 
      24722*T1^4*T2^3 + 24722*T1^5*T2^3 - 41766*T1^6*T2^3 + 20548*T1^7*T2^3 + 
      4216*T1^8*T2^3 - 3790*T1^9*T2^3 + 2969*T2^4 + 4216*T1*T2^4 - 
      33626*T1^2*T2^4 + 24722*T1^3*T2^4 + 30255*T1^4*T2^4 - 72475*T1^5*T2^4 + 
      30255*T1^6*T2^4 + 24722*T1^7*T2^4 - 33626*T1^8*T2^4 + 4216*T1^9*T2^4 + 
      2969*T1^10*T2^4 - 1375*T2^5 - 8177*T1*T2^5 + 20548*T1^2*T2^5 + 
      24722*T1^3*T2^5 - 72475*T1^4*T2^5 + 48038*T1^5*T2^5 + 48038*T1^6*T2^5 - 
      72475*T1^7*T2^5 + 24722*T1^8*T2^5 + 20548*T1^9*T2^5 - 8177*T1^10*T2^5 - 
      1375*T1^11*T2^5 + 270*T2^6 + 5646*T1*T2^6 + 68*T1^2*T2^6 - 
      41766*T1^3*T2^6 + 30255*T1^4*T2^6 + 48038*T1^5*T2^6 - 
      110556*T1^6*T2^6 + 48038*T1^7*T2^6 + 30255*T1^8*T2^6 - 
      41766*T1^9*T2^6 + 68*T1^10*T2^6 + 5646*T1^11*T2^6 + 270*T1^12*T2^6 - 
      1375*T1*T2^7 - 8177*T1^2*T2^7 + 20548*T1^3*T2^7 + 24722*T1^4*T2^7 - 
      72475*T1^5*T2^7 + 48038*T1^6*T2^7 + 48038*T1^7*T2^7 - 72475*T1^8*T2^7 + 
      24722*T1^9*T2^7 + 20548*T1^10*T2^7 - 8177*T1^11*T2^7 - 
      1375*T1^12*T2^7 + 2969*T1^2*T2^8 + 4216*T1^3*T2^8 - 33626*T1^4*T2^8 + 
      24722*T1^5*T2^8 + 30255*T1^6*T2^8 - 72475*T1^7*T2^8 + 30255*T1^8*T2^8 + 
      24722*T1^9*T2^8 - 33626*T1^10*T2^8 + 4216*T1^11*T2^8 + 
      2969*T1^12*T2^8 - 3790*T1^3*T2^9 + 4216*T1^4*T2^9 + 20548*T1^5*T2^9 - 
      41766*T1^6*T2^9 + 24722*T1^7*T2^9 + 24722*T1^8*T2^9 - 41766*T1^9*T2^9 + 
      20548*T1^10*T2^9 + 4216*T1^11*T2^9 - 3790*T1^12*T2^9 + 
      2969*T1^4*T2^10 - 8177*T1^5*T2^10 + 68*T1^6*T2^10 + 20548*T1^7*T2^10 - 
      33626*T1^8*T2^10 + 20548*T1^9*T2^10 + 68*T1^10*T2^10 - 
      8177*T1^11*T2^10 + 2969*T1^12*T2^10 - 1375*T1^5*T2^11 + 
      5646*T1^6*T2^11 - 8177*T1^7*T2^11 + 4216*T1^8*T2^11 + 4216*T1^9*T2^11 - 
      8177*T1^10*T2^11 + 5646*T1^11*T2^11 - 1375*T1^12*T2^11 + 
      270*T1^6*T2^12 - 1375*T1^7*T2^12 + 2969*T1^8*T2^12 - 3790*T1^9*T2^12 + 
      2969*T1^10*T2^12 - 1375*T1^11*T2^12 + 270*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), -((9 - 45*T1 + 103*T1^2 - 161*T1^3 + 183*T1^4 - 161*T1^5 + 
      103*T1^6 - 45*T1^7 + 9*T1^8 - 45*T2 + 180*T1*T2 - 290*T1^2*T2 + 
      290*T1^3*T2 - 110*T1^4*T2 - 110*T1^5*T2 + 290*T1^6*T2 - 290*T1^7*T2 + 
      180*T1^8*T2 - 45*T1^9*T2 + 103*T2^2 - 290*T1*T2^2 + 151*T1^2*T2^2 + 
      247*T1^3*T2^2 - 819*T1^4*T2^2 + 979*T1^5*T2^2 - 819*T1^6*T2^2 + 
      247*T1^7*T2^2 + 151*T1^8*T2^2 - 290*T1^9*T2^2 + 103*T1^10*T2^2 - 
      161*T2^3 + 290*T1*T2^3 + 247*T1^2*T2^3 - 722*T1^3*T2^3 + 
      1046*T1^4*T2^3 - 338*T1^5*T2^3 - 338*T1^6*T2^3 + 1046*T1^7*T2^3 - 
      722*T1^8*T2^3 + 247*T1^9*T2^3 + 290*T1^10*T2^3 - 161*T1^11*T2^3 + 
      183*T2^4 - 110*T1*T2^4 - 819*T1^2*T2^4 + 1046*T1^3*T2^4 - 
      1098*T1^4*T2^4 - 85*T1^5*T2^4 + 160*T1^6*T2^4 - 85*T1^7*T2^4 - 
      1098*T1^8*T2^4 + 1046*T1^9*T2^4 - 819*T1^10*T2^4 - 110*T1^11*T2^4 + 
      183*T1^12*T2^4 - 161*T2^5 - 110*T1*T2^5 + 979*T1^2*T2^5 - 
      338*T1^3*T2^5 - 85*T1^4*T2^5 + 1448*T1^5*T2^5 - 348*T1^6*T2^5 - 
      348*T1^7*T2^5 + 1448*T1^8*T2^5 - 85*T1^9*T2^5 - 338*T1^10*T2^5 + 
      979*T1^11*T2^5 - 110*T1^12*T2^5 - 161*T1^13*T2^5 + 103*T2^6 + 
      290*T1*T2^6 - 819*T1^2*T2^6 - 338*T1^3*T2^6 + 160*T1^4*T2^6 - 
      348*T1^5*T2^6 - 2319*T1^6*T2^6 + 2619*T1^7*T2^6 - 2319*T1^8*T2^6 - 
      348*T1^9*T2^6 + 160*T1^10*T2^6 - 338*T1^11*T2^6 - 819*T1^12*T2^6 + 
      290*T1^13*T2^6 + 103*T1^14*T2^6 - 45*T2^7 - 290*T1*T2^7 + 
      247*T1^2*T2^7 + 1046*T1^3*T2^7 - 85*T1^4*T2^7 - 348*T1^5*T2^7 + 
      2619*T1^6*T2^7 - 768*T1^7*T2^7 - 768*T1^8*T2^7 + 2619*T1^9*T2^7 - 
      348*T1^10*T2^7 - 85*T1^11*T2^7 + 1046*T1^12*T2^7 + 247*T1^13*T2^7 - 
      290*T1^14*T2^7 - 45*T1^15*T2^7 + 9*T2^8 + 180*T1*T2^8 + 151*T1^2*T2^8 - 
      722*T1^3*T2^8 - 1098*T1^4*T2^8 + 1448*T1^5*T2^8 - 2319*T1^6*T2^8 - 
      768*T1^7*T2^8 + 1188*T1^8*T2^8 - 768*T1^9*T2^8 - 2319*T1^10*T2^8 + 
      1448*T1^11*T2^8 - 1098*T1^12*T2^8 - 722*T1^13*T2^8 + 151*T1^14*T2^8 + 
      180*T1^15*T2^8 + 9*T1^16*T2^8 - 45*T1*T2^9 - 290*T1^2*T2^9 + 
      247*T1^3*T2^9 + 1046*T1^4*T2^9 - 85*T1^5*T2^9 - 348*T1^6*T2^9 + 
      2619*T1^7*T2^9 - 768*T1^8*T2^9 - 768*T1^9*T2^9 + 2619*T1^10*T2^9 - 
      348*T1^11*T2^9 - 85*T1^12*T2^9 + 1046*T1^13*T2^9 + 247*T1^14*T2^9 - 
      290*T1^15*T2^9 - 45*T1^16*T2^9 + 103*T1^2*T2^10 + 290*T1^3*T2^10 - 
      819*T1^4*T2^10 - 338*T1^5*T2^10 + 160*T1^6*T2^10 - 348*T1^7*T2^10 - 
      2319*T1^8*T2^10 + 2619*T1^9*T2^10 - 2319*T1^10*T2^10 - 
      348*T1^11*T2^10 + 160*T1^12*T2^10 - 338*T1^13*T2^10 - 819*T1^14*T2^10 + 
      290*T1^15*T2^10 + 103*T1^16*T2^10 - 161*T1^3*T2^11 - 110*T1^4*T2^11 + 
      979*T1^5*T2^11 - 338*T1^6*T2^11 - 85*T1^7*T2^11 + 1448*T1^8*T2^11 - 
      348*T1^9*T2^11 - 348*T1^10*T2^11 + 1448*T1^11*T2^11 - 85*T1^12*T2^11 - 
      338*T1^13*T2^11 + 979*T1^14*T2^11 - 110*T1^15*T2^11 - 161*T1^16*T2^11 + 
      183*T1^4*T2^12 - 110*T1^5*T2^12 - 819*T1^6*T2^12 + 1046*T1^7*T2^12 - 
      1098*T1^8*T2^12 - 85*T1^9*T2^12 + 160*T1^10*T2^12 - 85*T1^11*T2^12 - 
      1098*T1^12*T2^12 + 1046*T1^13*T2^12 - 819*T1^14*T2^12 - 
      110*T1^15*T2^12 + 183*T1^16*T2^12 - 161*T1^5*T2^13 + 290*T1^6*T2^13 + 
      247*T1^7*T2^13 - 722*T1^8*T2^13 + 1046*T1^9*T2^13 - 338*T1^10*T2^13 - 
      338*T1^11*T2^13 + 1046*T1^12*T2^13 - 722*T1^13*T2^13 + 
      247*T1^14*T2^13 + 290*T1^15*T2^13 - 161*T1^16*T2^13 + 103*T1^6*T2^14 - 
      290*T1^7*T2^14 + 151*T1^8*T2^14 + 247*T1^9*T2^14 - 819*T1^10*T2^14 + 
      979*T1^11*T2^14 - 819*T1^12*T2^14 + 247*T1^13*T2^14 + 151*T1^14*T2^14 - 
      290*T1^15*T2^14 + 103*T1^16*T2^14 - 45*T1^7*T2^15 + 180*T1^8*T2^15 - 
      290*T1^9*T2^15 + 290*T1^10*T2^15 - 110*T1^11*T2^15 - 110*T1^12*T2^15 + 
      290*T1^13*T2^15 - 290*T1^14*T2^15 + 180*T1^15*T2^15 - 45*T1^16*T2^15 + 
      9*T1^8*T2^16 - 45*T1^9*T2^16 + 103*T1^10*T2^16 - 161*T1^11*T2^16 + 
      183*T1^12*T2^16 - 161*T1^13*T2^16 + 103*T1^14*T2^16 - 45*T1^15*T2^16 + 
      9*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 905] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)*(2 - 3*T + 2*T^2))/T^3), 
   -((16 - 80*T1 + 168*T1^2 - 216*T1^3 + 168*T1^4 - 80*T1^5 + 16*T1^6 - 
      80*T2 + 320*T1*T2 - 440*T1^2*T2 + 240*T1^3*T2 + 240*T1^4*T2 - 
      440*T1^5*T2 + 320*T1^6*T2 - 80*T1^7*T2 + 168*T2^2 - 440*T1*T2^2 - 
      38*T1^2*T2^2 + 946*T1^3*T2^2 - 1660*T1^4*T2^2 + 946*T1^5*T2^2 - 
      38*T1^6*T2^2 - 440*T1^7*T2^2 + 168*T1^8*T2^2 - 216*T2^3 + 240*T1*T2^3 + 
      946*T1^2*T2^3 - 1364*T1^3*T2^3 + 1006*T1^4*T2^3 + 1006*T1^5*T2^3 - 
      1364*T1^6*T2^3 + 946*T1^7*T2^3 + 240*T1^8*T2^3 - 216*T1^9*T2^3 + 
      168*T2^4 + 240*T1*T2^4 - 1660*T1^2*T2^4 + 1006*T1^3*T2^4 - 
      1033*T1^4*T2^4 - 165*T1^5*T2^4 - 1033*T1^6*T2^4 + 1006*T1^7*T2^4 - 
      1660*T1^8*T2^4 + 240*T1^9*T2^4 + 168*T1^10*T2^4 - 80*T2^5 - 
      440*T1*T2^5 + 946*T1^2*T2^5 + 1006*T1^3*T2^5 - 165*T1^4*T2^5 + 
      916*T1^5*T2^5 + 916*T1^6*T2^5 - 165*T1^7*T2^5 + 1006*T1^8*T2^5 + 
      946*T1^9*T2^5 - 440*T1^10*T2^5 - 80*T1^11*T2^5 + 16*T2^6 + 
      320*T1*T2^6 - 38*T1^2*T2^6 - 1364*T1^3*T2^6 - 1033*T1^4*T2^6 + 
      916*T1^5*T2^6 - 2736*T1^6*T2^6 + 916*T1^7*T2^6 - 1033*T1^8*T2^6 - 
      1364*T1^9*T2^6 - 38*T1^10*T2^6 + 320*T1^11*T2^6 + 16*T1^12*T2^6 - 
      80*T1*T2^7 - 440*T1^2*T2^7 + 946*T1^3*T2^7 + 1006*T1^4*T2^7 - 
      165*T1^5*T2^7 + 916*T1^6*T2^7 + 916*T1^7*T2^7 - 165*T1^8*T2^7 + 
      1006*T1^9*T2^7 + 946*T1^10*T2^7 - 440*T1^11*T2^7 - 80*T1^12*T2^7 + 
      168*T1^2*T2^8 + 240*T1^3*T2^8 - 1660*T1^4*T2^8 + 1006*T1^5*T2^8 - 
      1033*T1^6*T2^8 - 165*T1^7*T2^8 - 1033*T1^8*T2^8 + 1006*T1^9*T2^8 - 
      1660*T1^10*T2^8 + 240*T1^11*T2^8 + 168*T1^12*T2^8 - 216*T1^3*T2^9 + 
      240*T1^4*T2^9 + 946*T1^5*T2^9 - 1364*T1^6*T2^9 + 1006*T1^7*T2^9 + 
      1006*T1^8*T2^9 - 1364*T1^9*T2^9 + 946*T1^10*T2^9 + 240*T1^11*T2^9 - 
      216*T1^12*T2^9 + 168*T1^4*T2^10 - 440*T1^5*T2^10 - 38*T1^6*T2^10 + 
      946*T1^7*T2^10 - 1660*T1^8*T2^10 + 946*T1^9*T2^10 - 38*T1^10*T2^10 - 
      440*T1^11*T2^10 + 168*T1^12*T2^10 - 80*T1^5*T2^11 + 320*T1^6*T2^11 - 
      440*T1^7*T2^11 + 240*T1^8*T2^11 + 240*T1^9*T2^11 - 440*T1^10*T2^11 + 
      320*T1^11*T2^11 - 80*T1^12*T2^11 + 16*T1^6*T2^12 - 80*T1^7*T2^12 + 
      168*T1^8*T2^12 - 216*T1^9*T2^12 + 168*T1^10*T2^12 - 80*T1^11*T2^12 + 
      16*T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   0}, 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, (17 - 92*T1 + 241*T1^2 - 372*T1^3 + 421*T1^4 - 372*T1^5 + 241*T1^6 - 
     92*T1^7 + 17*T1^8 - 92*T2 + 406*T1*T2 - 806*T1^2*T2 + 710*T1^3*T2 - 
     266*T1^4*T2 - 266*T1^5*T2 + 710*T1^6*T2 - 806*T1^7*T2 + 406*T1^8*T2 - 
     92*T1^9*T2 + 241*T2^2 - 806*T1*T2^2 + 939*T1^2*T2^2 + 568*T1^3*T2^2 - 
     1714*T1^4*T2^2 + 2043*T1^5*T2^2 - 1714*T1^6*T2^2 + 568*T1^7*T2^2 + 
     939*T1^8*T2^2 - 806*T1^9*T2^2 + 241*T1^10*T2^2 - 372*T2^3 + 
     710*T1*T2^3 + 568*T1^2*T2^3 - 3934*T1^3*T2^3 + 3330*T1^4*T2^3 - 
     1122*T1^5*T2^3 - 1122*T1^6*T2^3 + 3330*T1^7*T2^3 - 3934*T1^8*T2^3 + 
     568*T1^9*T2^3 + 710*T1^10*T2^3 - 372*T1^11*T2^3 + 421*T2^4 - 
     266*T1*T2^4 - 1714*T1^2*T2^4 + 3330*T1^3*T2^4 + 3807*T1^4*T2^4 - 
     8432*T1^5*T2^4 + 9541*T1^6*T2^4 - 8432*T1^7*T2^4 + 3807*T1^8*T2^4 + 
     3330*T1^9*T2^4 - 1714*T1^10*T2^4 - 266*T1^11*T2^4 + 421*T1^12*T2^4 - 
     372*T2^5 - 266*T1*T2^5 + 2043*T1^2*T2^5 - 1122*T1^3*T2^5 - 
     8432*T1^4*T2^5 + 6892*T1^5*T2^5 - 2174*T1^6*T2^5 - 2174*T1^7*T2^5 + 
     6892*T1^8*T2^5 - 8432*T1^9*T2^5 - 1122*T1^10*T2^5 + 2043*T1^11*T2^5 - 
     266*T1^12*T2^5 - 372*T1^13*T2^5 + 241*T2^6 + 710*T1*T2^6 - 
     1714*T1^2*T2^6 - 1122*T1^3*T2^6 + 9541*T1^4*T2^6 - 2174*T1^5*T2^6 - 
     1344*T1^6*T2^6 + 1690*T1^7*T2^6 - 1344*T1^8*T2^6 - 2174*T1^9*T2^6 + 
     9541*T1^10*T2^6 - 1122*T1^11*T2^6 - 1714*T1^12*T2^6 + 710*T1^13*T2^6 + 
     241*T1^14*T2^6 - 92*T2^7 - 806*T1*T2^7 + 568*T1^2*T2^7 + 
     3330*T1^3*T2^7 - 8432*T1^4*T2^7 - 2174*T1^5*T2^7 + 1690*T1^6*T2^7 - 
     210*T1^7*T2^7 - 210*T1^8*T2^7 + 1690*T1^9*T2^7 - 2174*T1^10*T2^7 - 
     8432*T1^11*T2^7 + 3330*T1^12*T2^7 + 568*T1^13*T2^7 - 806*T1^14*T2^7 - 
     92*T1^15*T2^7 + 17*T2^8 + 406*T1*T2^8 + 939*T1^2*T2^8 - 3934*T1^3*T2^8 + 
     3807*T1^4*T2^8 + 6892*T1^5*T2^8 - 1344*T1^6*T2^8 - 210*T1^7*T2^8 - 
     60*T1^8*T2^8 - 210*T1^9*T2^8 - 1344*T1^10*T2^8 + 6892*T1^11*T2^8 + 
     3807*T1^12*T2^8 - 3934*T1^13*T2^8 + 939*T1^14*T2^8 + 406*T1^15*T2^8 + 
     17*T1^16*T2^8 - 92*T1*T2^9 - 806*T1^2*T2^9 + 568*T1^3*T2^9 + 
     3330*T1^4*T2^9 - 8432*T1^5*T2^9 - 2174*T1^6*T2^9 + 1690*T1^7*T2^9 - 
     210*T1^8*T2^9 - 210*T1^9*T2^9 + 1690*T1^10*T2^9 - 2174*T1^11*T2^9 - 
     8432*T1^12*T2^9 + 3330*T1^13*T2^9 + 568*T1^14*T2^9 - 806*T1^15*T2^9 - 
     92*T1^16*T2^9 + 241*T1^2*T2^10 + 710*T1^3*T2^10 - 1714*T1^4*T2^10 - 
     1122*T1^5*T2^10 + 9541*T1^6*T2^10 - 2174*T1^7*T2^10 - 1344*T1^8*T2^10 + 
     1690*T1^9*T2^10 - 1344*T1^10*T2^10 - 2174*T1^11*T2^10 + 
     9541*T1^12*T2^10 - 1122*T1^13*T2^10 - 1714*T1^14*T2^10 + 
     710*T1^15*T2^10 + 241*T1^16*T2^10 - 372*T1^3*T2^11 - 266*T1^4*T2^11 + 
     2043*T1^5*T2^11 - 1122*T1^6*T2^11 - 8432*T1^7*T2^11 + 6892*T1^8*T2^11 - 
     2174*T1^9*T2^11 - 2174*T1^10*T2^11 + 6892*T1^11*T2^11 - 
     8432*T1^12*T2^11 - 1122*T1^13*T2^11 + 2043*T1^14*T2^11 - 
     266*T1^15*T2^11 - 372*T1^16*T2^11 + 421*T1^4*T2^12 - 266*T1^5*T2^12 - 
     1714*T1^6*T2^12 + 3330*T1^7*T2^12 + 3807*T1^8*T2^12 - 8432*T1^9*T2^12 + 
     9541*T1^10*T2^12 - 8432*T1^11*T2^12 + 3807*T1^12*T2^12 + 
     3330*T1^13*T2^12 - 1714*T1^14*T2^12 - 266*T1^15*T2^12 + 
     421*T1^16*T2^12 - 372*T1^5*T2^13 + 710*T1^6*T2^13 + 568*T1^7*T2^13 - 
     3934*T1^8*T2^13 + 3330*T1^9*T2^13 - 1122*T1^10*T2^13 - 
     1122*T1^11*T2^13 + 3330*T1^12*T2^13 - 3934*T1^13*T2^13 + 
     568*T1^14*T2^13 + 710*T1^15*T2^13 - 372*T1^16*T2^13 + 241*T1^6*T2^14 - 
     806*T1^7*T2^14 + 939*T1^8*T2^14 + 568*T1^9*T2^14 - 1714*T1^10*T2^14 + 
     2043*T1^11*T2^14 - 1714*T1^12*T2^14 + 568*T1^13*T2^14 + 
     939*T1^14*T2^14 - 806*T1^15*T2^14 + 241*T1^16*T2^14 - 92*T1^7*T2^15 + 
     406*T1^8*T2^15 - 806*T1^9*T2^15 + 710*T1^10*T2^15 - 266*T1^11*T2^15 - 
     266*T1^12*T2^15 + 710*T1^13*T2^15 - 806*T1^14*T2^15 + 406*T1^15*T2^15 - 
     92*T1^16*T2^15 + 17*T1^8*T2^16 - 92*T1^9*T2^16 + 241*T1^10*T2^16 - 
     372*T1^11*T2^16 + 421*T1^12*T2^16 - 372*T1^13*T2^16 + 241*T1^14*T2^16 - 
     92*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 908] -> 
  {(4 - 22*T + 55*T^2 - 73*T^3 + 55*T^4 - 22*T^5 + 4*T^6)/T^3, 
   (80 - 428*T1 + 1056*T1^2 - 1392*T1^3 + 1056*T1^4 - 428*T1^5 + 80*T1^6 - 
     428*T2 + 1862*T1*T2 - 3352*T1^2*T2 + 1792*T1^3*T2 + 1792*T1^4*T2 - 
     3352*T1^5*T2 + 1862*T1^6*T2 - 428*T1^7*T2 + 1056*T2^2 - 3352*T1*T2^2 + 
     2627*T1^2*T2^2 + 6463*T1^3*T2^2 - 12311*T1^4*T2^2 + 6463*T1^5*T2^2 + 
     2627*T1^6*T2^2 - 3352*T1^7*T2^2 + 1056*T1^8*T2^2 - 1392*T2^3 + 
     1792*T1*T2^3 + 6463*T1^2*T2^3 - 21944*T1^3*T2^3 + 13070*T1^4*T2^3 + 
     13070*T1^5*T2^3 - 21944*T1^6*T2^3 + 6463*T1^7*T2^3 + 1792*T1^8*T2^3 - 
     1392*T1^9*T2^3 + 1056*T2^4 + 1792*T1*T2^4 - 12311*T1^2*T2^4 + 
     13070*T1^3*T2^4 + 29658*T1^4*T2^4 - 57830*T1^5*T2^4 + 29658*T1^6*T2^4 + 
     13070*T1^7*T2^4 - 12311*T1^8*T2^4 + 1792*T1^9*T2^4 + 1056*T1^10*T2^4 - 
     428*T2^5 - 3352*T1*T2^5 + 6463*T1^2*T2^5 + 13070*T1^3*T2^5 - 
     57830*T1^4*T2^5 + 35284*T1^5*T2^5 + 35284*T1^6*T2^5 - 57830*T1^7*T2^5 + 
     13070*T1^8*T2^5 + 6463*T1^9*T2^5 - 3352*T1^10*T2^5 - 428*T1^11*T2^5 + 
     80*T2^6 + 1862*T1*T2^6 + 2627*T1^2*T2^6 - 21944*T1^3*T2^6 + 
     29658*T1^4*T2^6 + 35284*T1^5*T2^6 - 79416*T1^6*T2^6 + 35284*T1^7*T2^6 + 
     29658*T1^8*T2^6 - 21944*T1^9*T2^6 + 2627*T1^10*T2^6 + 1862*T1^11*T2^6 + 
     80*T1^12*T2^6 - 428*T1*T2^7 - 3352*T1^2*T2^7 + 6463*T1^3*T2^7 + 
     13070*T1^4*T2^7 - 57830*T1^5*T2^7 + 35284*T1^6*T2^7 + 35284*T1^7*T2^7 - 
     57830*T1^8*T2^7 + 13070*T1^9*T2^7 + 6463*T1^10*T2^7 - 3352*T1^11*T2^7 - 
     428*T1^12*T2^7 + 1056*T1^2*T2^8 + 1792*T1^3*T2^8 - 12311*T1^4*T2^8 + 
     13070*T1^5*T2^8 + 29658*T1^6*T2^8 - 57830*T1^7*T2^8 + 29658*T1^8*T2^8 + 
     13070*T1^9*T2^8 - 12311*T1^10*T2^8 + 1792*T1^11*T2^8 + 1056*T1^12*T2^8 - 
     1392*T1^3*T2^9 + 1792*T1^4*T2^9 + 6463*T1^5*T2^9 - 21944*T1^6*T2^9 + 
     13070*T1^7*T2^9 + 13070*T1^8*T2^9 - 21944*T1^9*T2^9 + 6463*T1^10*T2^9 + 
     1792*T1^11*T2^9 - 1392*T1^12*T2^9 + 1056*T1^4*T2^10 - 3352*T1^5*T2^10 + 
     2627*T1^6*T2^10 + 6463*T1^7*T2^10 - 12311*T1^8*T2^10 + 6463*T1^9*T2^10 + 
     2627*T1^10*T2^10 - 3352*T1^11*T2^10 + 1056*T1^12*T2^10 - 
     428*T1^5*T2^11 + 1862*T1^6*T2^11 - 3352*T1^7*T2^11 + 1792*T1^8*T2^11 + 
     1792*T1^9*T2^11 - 3352*T1^10*T2^11 + 1862*T1^11*T2^11 - 
     428*T1^12*T2^11 + 80*T1^6*T2^12 - 428*T1^7*T2^12 + 1056*T1^8*T2^12 - 
     1392*T1^9*T2^12 + 1056*T1^10*T2^12 - 428*T1^11*T2^12 + 80*T1^12*T2^12)/
    (T1^6*T2^6)}, 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), -((2 - 8*T1 + 18*T1^2 - 28*T1^3 + 32*T1^4 - 
      34*T1^5 + 32*T1^6 - 28*T1^7 + 18*T1^8 - 8*T1^9 + 2*T1^10 - 8*T2 + 
      24*T1*T2 - 40*T1^2*T2 + 40*T1^3*T2 - 16*T1^4*T2 + 8*T1^5*T2 + 
      8*T1^6*T2 - 16*T1^7*T2 + 40*T1^8*T2 - 40*T1^9*T2 + 24*T1^10*T2 - 
      8*T1^11*T2 + 18*T2^2 - 40*T1*T2^2 + 51*T1^2*T2^2 - 32*T1^3*T2^2 - 
      8*T1^4*T2^2 - 30*T1^5*T2^2 + 15*T1^6*T2^2 - 30*T1^7*T2^2 - 
      8*T1^8*T2^2 - 32*T1^9*T2^2 + 51*T1^10*T2^2 - 40*T1^11*T2^2 + 
      18*T1^12*T2^2 - 28*T2^3 + 40*T1*T2^3 - 32*T1^2*T2^3 - 8*T1^3*T2^3 + 
      47*T1^4*T2^3 + 57*T1^5*T2^3 + 20*T1^6*T2^3 + 20*T1^7*T2^3 + 
      57*T1^8*T2^3 + 47*T1^9*T2^3 - 8*T1^10*T2^3 - 32*T1^11*T2^3 + 
      40*T1^12*T2^3 - 28*T1^13*T2^3 + 32*T2^4 - 16*T1*T2^4 - 8*T1^2*T2^4 + 
      47*T1^3*T2^4 - 50*T1^4*T2^4 - 110*T1^5*T2^4 - 85*T1^6*T2^4 - 
      32*T1^7*T2^4 - 85*T1^8*T2^4 - 110*T1^9*T2^4 - 50*T1^10*T2^4 + 
      47*T1^11*T2^4 - 8*T1^12*T2^4 - 16*T1^13*T2^4 + 32*T1^14*T2^4 - 
      34*T2^5 + 8*T1*T2^5 - 30*T1^2*T2^5 + 57*T1^3*T2^5 - 110*T1^4*T2^5 + 
      248*T1^5*T2^5 + 104*T1^6*T2^5 + 110*T1^7*T2^5 + 110*T1^8*T2^5 + 
      104*T1^9*T2^5 + 248*T1^10*T2^5 - 110*T1^11*T2^5 + 57*T1^12*T2^5 - 
      30*T1^13*T2^5 + 8*T1^14*T2^5 - 34*T1^15*T2^5 + 32*T2^6 + 8*T1*T2^6 + 
      15*T1^2*T2^6 + 20*T1^3*T2^6 - 85*T1^4*T2^6 + 104*T1^5*T2^6 - 
      563*T1^6*T2^6 + 225*T1^7*T2^6 - 525*T1^8*T2^6 + 225*T1^9*T2^6 - 
      563*T1^10*T2^6 + 104*T1^11*T2^6 - 85*T1^12*T2^6 + 20*T1^13*T2^6 + 
      15*T1^14*T2^6 + 8*T1^15*T2^6 + 32*T1^16*T2^6 - 28*T2^7 - 16*T1*T2^7 - 
      30*T1^2*T2^7 + 20*T1^3*T2^7 - 32*T1^4*T2^7 + 110*T1^5*T2^7 + 
      225*T1^6*T2^7 + 224*T1^7*T2^7 + 161*T1^8*T2^7 + 161*T1^9*T2^7 + 
      224*T1^10*T2^7 + 225*T1^11*T2^7 + 110*T1^12*T2^7 - 32*T1^13*T2^7 + 
      20*T1^14*T2^7 - 30*T1^15*T2^7 - 16*T1^16*T2^7 - 28*T1^17*T2^7 + 
      18*T2^8 + 40*T1*T2^8 - 8*T1^2*T2^8 + 57*T1^3*T2^8 - 85*T1^4*T2^8 + 
      110*T1^5*T2^8 - 525*T1^6*T2^8 + 161*T1^7*T2^8 - 629*T1^8*T2^8 + 
      283*T1^9*T2^8 - 629*T1^10*T2^8 + 161*T1^11*T2^8 - 525*T1^12*T2^8 + 
      110*T1^13*T2^8 - 85*T1^14*T2^8 + 57*T1^15*T2^8 - 8*T1^16*T2^8 + 
      40*T1^17*T2^8 + 18*T1^18*T2^8 - 8*T2^9 - 40*T1*T2^9 - 32*T1^2*T2^9 + 
      47*T1^3*T2^9 - 110*T1^4*T2^9 + 104*T1^5*T2^9 + 225*T1^6*T2^9 + 
      161*T1^7*T2^9 + 283*T1^8*T2^9 + 134*T1^9*T2^9 + 134*T1^10*T2^9 + 
      283*T1^11*T2^9 + 161*T1^12*T2^9 + 225*T1^13*T2^9 + 104*T1^14*T2^9 - 
      110*T1^15*T2^9 + 47*T1^16*T2^9 - 32*T1^17*T2^9 - 40*T1^18*T2^9 - 
      8*T1^19*T2^9 + 2*T2^10 + 24*T1*T2^10 + 51*T1^2*T2^10 - 8*T1^3*T2^10 - 
      50*T1^4*T2^10 + 248*T1^5*T2^10 - 563*T1^6*T2^10 + 224*T1^7*T2^10 - 
      629*T1^8*T2^10 + 134*T1^9*T2^10 - 420*T1^10*T2^10 + 134*T1^11*T2^10 - 
      629*T1^12*T2^10 + 224*T1^13*T2^10 - 563*T1^14*T2^10 + 248*T1^15*T2^10 - 
      50*T1^16*T2^10 - 8*T1^17*T2^10 + 51*T1^18*T2^10 + 24*T1^19*T2^10 + 
      2*T1^20*T2^10 - 8*T1*T2^11 - 40*T1^2*T2^11 - 32*T1^3*T2^11 + 
      47*T1^4*T2^11 - 110*T1^5*T2^11 + 104*T1^6*T2^11 + 225*T1^7*T2^11 + 
      161*T1^8*T2^11 + 283*T1^9*T2^11 + 134*T1^10*T2^11 + 134*T1^11*T2^11 + 
      283*T1^12*T2^11 + 161*T1^13*T2^11 + 225*T1^14*T2^11 + 104*T1^15*T2^11 - 
      110*T1^16*T2^11 + 47*T1^17*T2^11 - 32*T1^18*T2^11 - 40*T1^19*T2^11 - 
      8*T1^20*T2^11 + 18*T1^2*T2^12 + 40*T1^3*T2^12 - 8*T1^4*T2^12 + 
      57*T1^5*T2^12 - 85*T1^6*T2^12 + 110*T1^7*T2^12 - 525*T1^8*T2^12 + 
      161*T1^9*T2^12 - 629*T1^10*T2^12 + 283*T1^11*T2^12 - 629*T1^12*T2^12 + 
      161*T1^13*T2^12 - 525*T1^14*T2^12 + 110*T1^15*T2^12 - 85*T1^16*T2^12 + 
      57*T1^17*T2^12 - 8*T1^18*T2^12 + 40*T1^19*T2^12 + 18*T1^20*T2^12 - 
      28*T1^3*T2^13 - 16*T1^4*T2^13 - 30*T1^5*T2^13 + 20*T1^6*T2^13 - 
      32*T1^7*T2^13 + 110*T1^8*T2^13 + 225*T1^9*T2^13 + 224*T1^10*T2^13 + 
      161*T1^11*T2^13 + 161*T1^12*T2^13 + 224*T1^13*T2^13 + 225*T1^14*T2^13 + 
      110*T1^15*T2^13 - 32*T1^16*T2^13 + 20*T1^17*T2^13 - 30*T1^18*T2^13 - 
      16*T1^19*T2^13 - 28*T1^20*T2^13 + 32*T1^4*T2^14 + 8*T1^5*T2^14 + 
      15*T1^6*T2^14 + 20*T1^7*T2^14 - 85*T1^8*T2^14 + 104*T1^9*T2^14 - 
      563*T1^10*T2^14 + 225*T1^11*T2^14 - 525*T1^12*T2^14 + 225*T1^13*T2^14 - 
      563*T1^14*T2^14 + 104*T1^15*T2^14 - 85*T1^16*T2^14 + 20*T1^17*T2^14 + 
      15*T1^18*T2^14 + 8*T1^19*T2^14 + 32*T1^20*T2^14 - 34*T1^5*T2^15 + 
      8*T1^6*T2^15 - 30*T1^7*T2^15 + 57*T1^8*T2^15 - 110*T1^9*T2^15 + 
      248*T1^10*T2^15 + 104*T1^11*T2^15 + 110*T1^12*T2^15 + 110*T1^13*T2^15 + 
      104*T1^14*T2^15 + 248*T1^15*T2^15 - 110*T1^16*T2^15 + 57*T1^17*T2^15 - 
      30*T1^18*T2^15 + 8*T1^19*T2^15 - 34*T1^20*T2^15 + 32*T1^6*T2^16 - 
      16*T1^7*T2^16 - 8*T1^8*T2^16 + 47*T1^9*T2^16 - 50*T1^10*T2^16 - 
      110*T1^11*T2^16 - 85*T1^12*T2^16 - 32*T1^13*T2^16 - 85*T1^14*T2^16 - 
      110*T1^15*T2^16 - 50*T1^16*T2^16 + 47*T1^17*T2^16 - 8*T1^18*T2^16 - 
      16*T1^19*T2^16 + 32*T1^20*T2^16 - 28*T1^7*T2^17 + 40*T1^8*T2^17 - 
      32*T1^9*T2^17 - 8*T1^10*T2^17 + 47*T1^11*T2^17 + 57*T1^12*T2^17 + 
      20*T1^13*T2^17 + 20*T1^14*T2^17 + 57*T1^15*T2^17 + 47*T1^16*T2^17 - 
      8*T1^17*T2^17 - 32*T1^18*T2^17 + 40*T1^19*T2^17 - 28*T1^20*T2^17 + 
      18*T1^8*T2^18 - 40*T1^9*T2^18 + 51*T1^10*T2^18 - 32*T1^11*T2^18 - 
      8*T1^12*T2^18 - 30*T1^13*T2^18 + 15*T1^14*T2^18 - 30*T1^15*T2^18 - 
      8*T1^16*T2^18 - 32*T1^17*T2^18 + 51*T1^18*T2^18 - 40*T1^19*T2^18 + 
      18*T1^20*T2^18 - 8*T1^9*T2^19 + 24*T1^10*T2^19 - 40*T1^11*T2^19 + 
      40*T1^12*T2^19 - 16*T1^13*T2^19 + 8*T1^14*T2^19 + 8*T1^15*T2^19 - 
      16*T1^16*T2^19 + 40*T1^17*T2^19 - 40*T1^18*T2^19 + 24*T1^19*T2^19 - 
      8*T1^20*T2^19 + 2*T1^10*T2^20 - 8*T1^11*T2^20 + 18*T1^12*T2^20 - 
      28*T1^13*T2^20 + 32*T1^14*T2^20 - 34*T1^15*T2^20 + 32*T1^16*T2^20 - 
      28*T1^17*T2^20 + 18*T1^18*T2^20 - 8*T1^19*T2^20 + 2*T1^20*T2^20)/
     (T1^10*T2^10))}, 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), -((9 - 40*T1 + 97*T1^2 - 158*T1^3 + 179*T1^4 - 158*T1^5 + 
      97*T1^6 - 40*T1^7 + 9*T1^8 - 40*T2 + 138*T1*T2 - 254*T1^2*T2 + 
      272*T1^3*T2 - 94*T1^4*T2 - 94*T1^5*T2 + 272*T1^6*T2 - 254*T1^7*T2 + 
      138*T1^8*T2 - 40*T1^9*T2 + 97*T2^2 - 254*T1*T2^2 + 345*T1^2*T2^2 - 
      184*T1^3*T2^2 - 228*T1^4*T2^2 + 249*T1^5*T2^2 - 228*T1^6*T2^2 - 
      184*T1^7*T2^2 + 345*T1^8*T2^2 - 254*T1^9*T2^2 + 97*T1^10*T2^2 - 
      158*T2^3 + 272*T1*T2^3 - 184*T1^2*T2^3 - 220*T1^3*T2^3 + 
      666*T1^4*T2^3 - 72*T1^5*T2^3 - 72*T1^6*T2^3 + 666*T1^7*T2^3 - 
      220*T1^8*T2^3 - 184*T1^9*T2^3 + 272*T1^10*T2^3 - 158*T1^11*T2^3 + 
      179*T2^4 - 94*T1*T2^4 - 228*T1^2*T2^4 + 666*T1^3*T2^4 - 681*T1^4*T2^4 - 
      707*T1^5*T2^4 + 353*T1^6*T2^4 - 707*T1^7*T2^4 - 681*T1^8*T2^4 + 
      666*T1^9*T2^4 - 228*T1^10*T2^4 - 94*T1^11*T2^4 + 179*T1^12*T2^4 - 
      158*T2^5 - 94*T1*T2^5 + 249*T1^2*T2^5 - 72*T1^3*T2^5 - 707*T1^4*T2^5 + 
      2134*T1^5*T2^5 - 127*T1^6*T2^5 - 127*T1^7*T2^5 + 2134*T1^8*T2^5 - 
      707*T1^9*T2^5 - 72*T1^10*T2^5 + 249*T1^11*T2^5 - 94*T1^12*T2^5 - 
      158*T1^13*T2^5 + 97*T2^6 + 272*T1*T2^6 - 228*T1^2*T2^6 - 72*T1^3*T2^6 + 
      353*T1^4*T2^6 - 127*T1^5*T2^6 - 3550*T1^6*T2^6 + 2936*T1^7*T2^6 - 
      3550*T1^8*T2^6 - 127*T1^9*T2^6 + 353*T1^10*T2^6 - 72*T1^11*T2^6 - 
      228*T1^12*T2^6 + 272*T1^13*T2^6 + 97*T1^14*T2^6 - 40*T2^7 - 
      254*T1*T2^7 - 184*T1^2*T2^7 + 666*T1^3*T2^7 - 707*T1^4*T2^7 - 
      127*T1^5*T2^7 + 2936*T1^6*T2^7 - 82*T1^7*T2^7 - 82*T1^8*T2^7 + 
      2936*T1^9*T2^7 - 127*T1^10*T2^7 - 707*T1^11*T2^7 + 666*T1^12*T2^7 - 
      184*T1^13*T2^7 - 254*T1^14*T2^7 - 40*T1^15*T2^7 + 9*T2^8 + 
      138*T1*T2^8 + 345*T1^2*T2^8 - 220*T1^3*T2^8 - 681*T1^4*T2^8 + 
      2134*T1^5*T2^8 - 3550*T1^6*T2^8 - 82*T1^7*T2^8 - 912*T1^8*T2^8 - 
      82*T1^9*T2^8 - 3550*T1^10*T2^8 + 2134*T1^11*T2^8 - 681*T1^12*T2^8 - 
      220*T1^13*T2^8 + 345*T1^14*T2^8 + 138*T1^15*T2^8 + 9*T1^16*T2^8 - 
      40*T1*T2^9 - 254*T1^2*T2^9 - 184*T1^3*T2^9 + 666*T1^4*T2^9 - 
      707*T1^5*T2^9 - 127*T1^6*T2^9 + 2936*T1^7*T2^9 - 82*T1^8*T2^9 - 
      82*T1^9*T2^9 + 2936*T1^10*T2^9 - 127*T1^11*T2^9 - 707*T1^12*T2^9 + 
      666*T1^13*T2^9 - 184*T1^14*T2^9 - 254*T1^15*T2^9 - 40*T1^16*T2^9 + 
      97*T1^2*T2^10 + 272*T1^3*T2^10 - 228*T1^4*T2^10 - 72*T1^5*T2^10 + 
      353*T1^6*T2^10 - 127*T1^7*T2^10 - 3550*T1^8*T2^10 + 2936*T1^9*T2^10 - 
      3550*T1^10*T2^10 - 127*T1^11*T2^10 + 353*T1^12*T2^10 - 72*T1^13*T2^10 - 
      228*T1^14*T2^10 + 272*T1^15*T2^10 + 97*T1^16*T2^10 - 158*T1^3*T2^11 - 
      94*T1^4*T2^11 + 249*T1^5*T2^11 - 72*T1^6*T2^11 - 707*T1^7*T2^11 + 
      2134*T1^8*T2^11 - 127*T1^9*T2^11 - 127*T1^10*T2^11 + 2134*T1^11*T2^11 - 
      707*T1^12*T2^11 - 72*T1^13*T2^11 + 249*T1^14*T2^11 - 94*T1^15*T2^11 - 
      158*T1^16*T2^11 + 179*T1^4*T2^12 - 94*T1^5*T2^12 - 228*T1^6*T2^12 + 
      666*T1^7*T2^12 - 681*T1^8*T2^12 - 707*T1^9*T2^12 + 353*T1^10*T2^12 - 
      707*T1^11*T2^12 - 681*T1^12*T2^12 + 666*T1^13*T2^12 - 228*T1^14*T2^12 - 
      94*T1^15*T2^12 + 179*T1^16*T2^12 - 158*T1^5*T2^13 + 272*T1^6*T2^13 - 
      184*T1^7*T2^13 - 220*T1^8*T2^13 + 666*T1^9*T2^13 - 72*T1^10*T2^13 - 
      72*T1^11*T2^13 + 666*T1^12*T2^13 - 220*T1^13*T2^13 - 184*T1^14*T2^13 + 
      272*T1^15*T2^13 - 158*T1^16*T2^13 + 97*T1^6*T2^14 - 254*T1^7*T2^14 + 
      345*T1^8*T2^14 - 184*T1^9*T2^14 - 228*T1^10*T2^14 + 249*T1^11*T2^14 - 
      228*T1^12*T2^14 - 184*T1^13*T2^14 + 345*T1^14*T2^14 - 254*T1^15*T2^14 + 
      97*T1^16*T2^14 - 40*T1^7*T2^15 + 138*T1^8*T2^15 - 254*T1^9*T2^15 + 
      272*T1^10*T2^15 - 94*T1^11*T2^15 - 94*T1^12*T2^15 + 272*T1^13*T2^15 - 
      254*T1^14*T2^15 + 138*T1^15*T2^15 - 40*T1^16*T2^15 + 9*T1^8*T2^16 - 
      40*T1^9*T2^16 + 97*T1^10*T2^16 - 158*T1^11*T2^16 + 179*T1^12*T2^16 - 
      158*T1^13*T2^16 + 97*T1^14*T2^16 - 40*T1^15*T2^16 + 9*T1^16*T2^16)/
     (T1^8*T2^8))}, 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), -((9 - 40*T1 + 101*T1^2 - 170*T1^3 + 195*T1^4 - 170*T1^5 + 
      101*T1^6 - 40*T1^7 + 9*T1^8 - 40*T2 + 138*T1*T2 - 272*T1^2*T2 + 
      308*T1^3*T2 - 112*T1^4*T2 - 112*T1^5*T2 + 308*T1^6*T2 - 272*T1^7*T2 + 
      138*T1^8*T2 - 40*T1^9*T2 + 101*T2^2 - 272*T1*T2^2 + 441*T1^2*T2^2 - 
      342*T1^3*T2^2 - 88*T1^4*T2^2 + 115*T1^5*T2^2 - 88*T1^6*T2^2 - 
      342*T1^7*T2^2 + 441*T1^8*T2^2 - 272*T1^9*T2^2 + 101*T1^10*T2^2 - 
      170*T2^3 + 308*T1*T2^3 - 342*T1^2*T2^3 - 64*T1^3*T2^3 + 634*T1^4*T2^3 - 
      38*T1^5*T2^3 - 38*T1^6*T2^3 + 634*T1^7*T2^3 - 64*T1^8*T2^3 - 
      342*T1^9*T2^3 + 308*T1^10*T2^3 - 170*T1^11*T2^3 + 195*T2^4 - 
      112*T1*T2^4 - 88*T1^2*T2^4 + 634*T1^3*T2^4 - 661*T1^4*T2^4 - 
      1086*T1^5*T2^4 + 663*T1^6*T2^4 - 1086*T1^7*T2^4 - 661*T1^8*T2^4 + 
      634*T1^9*T2^4 - 88*T1^10*T2^4 - 112*T1^11*T2^4 + 195*T1^12*T2^4 - 
      170*T2^5 - 112*T1*T2^5 + 115*T1^2*T2^5 - 38*T1^3*T2^5 - 
      1086*T1^4*T2^5 + 3004*T1^5*T2^5 - 226*T1^6*T2^5 - 226*T1^7*T2^5 + 
      3004*T1^8*T2^5 - 1086*T1^9*T2^5 - 38*T1^10*T2^5 + 115*T1^11*T2^5 - 
      112*T1^12*T2^5 - 170*T1^13*T2^5 + 101*T2^6 + 308*T1*T2^6 - 
      88*T1^2*T2^6 - 38*T1^3*T2^6 + 663*T1^4*T2^6 - 226*T1^5*T2^6 - 
      5056*T1^6*T2^6 + 4092*T1^7*T2^6 - 5056*T1^8*T2^6 - 226*T1^9*T2^6 + 
      663*T1^10*T2^6 - 38*T1^11*T2^6 - 88*T1^12*T2^6 + 308*T1^13*T2^6 + 
      101*T1^14*T2^6 - 40*T2^7 - 272*T1*T2^7 - 342*T1^2*T2^7 + 
      634*T1^3*T2^7 - 1086*T1^4*T2^7 - 226*T1^5*T2^7 + 4092*T1^6*T2^7 + 
      178*T1^7*T2^7 + 178*T1^8*T2^7 + 4092*T1^9*T2^7 - 226*T1^10*T2^7 - 
      1086*T1^11*T2^7 + 634*T1^12*T2^7 - 342*T1^13*T2^7 - 272*T1^14*T2^7 - 
      40*T1^15*T2^7 + 9*T2^8 + 138*T1*T2^8 + 441*T1^2*T2^8 - 64*T1^3*T2^8 - 
      661*T1^4*T2^8 + 3004*T1^5*T2^8 - 5056*T1^6*T2^8 + 178*T1^7*T2^8 - 
      2352*T1^8*T2^8 + 178*T1^9*T2^8 - 5056*T1^10*T2^8 + 3004*T1^11*T2^8 - 
      661*T1^12*T2^8 - 64*T1^13*T2^8 + 441*T1^14*T2^8 + 138*T1^15*T2^8 + 
      9*T1^16*T2^8 - 40*T1*T2^9 - 272*T1^2*T2^9 - 342*T1^3*T2^9 + 
      634*T1^4*T2^9 - 1086*T1^5*T2^9 - 226*T1^6*T2^9 + 4092*T1^7*T2^9 + 
      178*T1^8*T2^9 + 178*T1^9*T2^9 + 4092*T1^10*T2^9 - 226*T1^11*T2^9 - 
      1086*T1^12*T2^9 + 634*T1^13*T2^9 - 342*T1^14*T2^9 - 272*T1^15*T2^9 - 
      40*T1^16*T2^9 + 101*T1^2*T2^10 + 308*T1^3*T2^10 - 88*T1^4*T2^10 - 
      38*T1^5*T2^10 + 663*T1^6*T2^10 - 226*T1^7*T2^10 - 5056*T1^8*T2^10 + 
      4092*T1^9*T2^10 - 5056*T1^10*T2^10 - 226*T1^11*T2^10 + 
      663*T1^12*T2^10 - 38*T1^13*T2^10 - 88*T1^14*T2^10 + 308*T1^15*T2^10 + 
      101*T1^16*T2^10 - 170*T1^3*T2^11 - 112*T1^4*T2^11 + 115*T1^5*T2^11 - 
      38*T1^6*T2^11 - 1086*T1^7*T2^11 + 3004*T1^8*T2^11 - 226*T1^9*T2^11 - 
      226*T1^10*T2^11 + 3004*T1^11*T2^11 - 1086*T1^12*T2^11 - 
      38*T1^13*T2^11 + 115*T1^14*T2^11 - 112*T1^15*T2^11 - 170*T1^16*T2^11 + 
      195*T1^4*T2^12 - 112*T1^5*T2^12 - 88*T1^6*T2^12 + 634*T1^7*T2^12 - 
      661*T1^8*T2^12 - 1086*T1^9*T2^12 + 663*T1^10*T2^12 - 1086*T1^11*T2^12 - 
      661*T1^12*T2^12 + 634*T1^13*T2^12 - 88*T1^14*T2^12 - 112*T1^15*T2^12 + 
      195*T1^16*T2^12 - 170*T1^5*T2^13 + 308*T1^6*T2^13 - 342*T1^7*T2^13 - 
      64*T1^8*T2^13 + 634*T1^9*T2^13 - 38*T1^10*T2^13 - 38*T1^11*T2^13 + 
      634*T1^12*T2^13 - 64*T1^13*T2^13 - 342*T1^14*T2^13 + 308*T1^15*T2^13 - 
      170*T1^16*T2^13 + 101*T1^6*T2^14 - 272*T1^7*T2^14 + 441*T1^8*T2^14 - 
      342*T1^9*T2^14 - 88*T1^10*T2^14 + 115*T1^11*T2^14 - 88*T1^12*T2^14 - 
      342*T1^13*T2^14 + 441*T1^14*T2^14 - 272*T1^15*T2^14 + 101*T1^16*T2^14 - 
      40*T1^7*T2^15 + 138*T1^8*T2^15 - 272*T1^9*T2^15 + 308*T1^10*T2^15 - 
      112*T1^11*T2^15 - 112*T1^12*T2^15 + 308*T1^13*T2^15 - 272*T1^14*T2^15 + 
      138*T1^15*T2^15 - 40*T1^16*T2^15 + 9*T1^8*T2^16 - 40*T1^9*T2^16 + 
      101*T1^10*T2^16 - 170*T1^11*T2^16 + 195*T1^12*T2^16 - 170*T1^13*T2^16 + 
      101*T1^14*T2^16 - 40*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 912] -> 
  {-((3 - 12*T + 26*T^2 - 35*T^3 + 26*T^4 - 12*T^5 + 3*T^6)/T^3), 
   -((9 - 36*T1 + 76*T1^2 - 103*T1^3 + 76*T1^4 - 36*T1^5 + 9*T1^6 - 36*T2 + 
      108*T1*T2 - 160*T1^2*T2 + 108*T1^3*T2 + 108*T1^4*T2 - 160*T1^5*T2 + 
      108*T1^6*T2 - 36*T1^7*T2 + 76*T2^2 - 160*T1*T2^2 + 154*T1^2*T2^2 - 
      15*T1^3*T2^2 - 280*T1^4*T2^2 - 15*T1^5*T2^2 + 154*T1^6*T2^2 - 
      160*T1^7*T2^2 + 76*T1^8*T2^2 - 103*T2^3 + 108*T1*T2^3 - 15*T1^2*T2^3 - 
      102*T1^3*T2^3 + 361*T1^4*T2^3 + 361*T1^5*T2^3 - 102*T1^6*T2^3 - 
      15*T1^7*T2^3 + 108*T1^8*T2^3 - 103*T1^9*T2^3 + 76*T2^4 + 108*T1*T2^4 - 
      280*T1^2*T2^4 + 361*T1^3*T2^4 - 467*T1^4*T2^4 - 651*T1^5*T2^4 - 
      467*T1^6*T2^4 + 361*T1^7*T2^4 - 280*T1^8*T2^4 + 108*T1^9*T2^4 + 
      76*T1^10*T2^4 - 36*T2^5 - 160*T1*T2^5 - 15*T1^2*T2^5 + 361*T1^3*T2^5 - 
      651*T1^4*T2^5 + 1324*T1^5*T2^5 + 1324*T1^6*T2^5 - 651*T1^7*T2^5 + 
      361*T1^8*T2^5 - 15*T1^9*T2^5 - 160*T1^10*T2^5 - 36*T1^11*T2^5 + 
      9*T2^6 + 108*T1*T2^6 + 154*T1^2*T2^6 - 102*T1^3*T2^6 - 467*T1^4*T2^6 + 
      1324*T1^5*T2^6 - 3960*T1^6*T2^6 + 1324*T1^7*T2^6 - 467*T1^8*T2^6 - 
      102*T1^9*T2^6 + 154*T1^10*T2^6 + 108*T1^11*T2^6 + 9*T1^12*T2^6 - 
      36*T1*T2^7 - 160*T1^2*T2^7 - 15*T1^3*T2^7 + 361*T1^4*T2^7 - 
      651*T1^5*T2^7 + 1324*T1^6*T2^7 + 1324*T1^7*T2^7 - 651*T1^8*T2^7 + 
      361*T1^9*T2^7 - 15*T1^10*T2^7 - 160*T1^11*T2^7 - 36*T1^12*T2^7 + 
      76*T1^2*T2^8 + 108*T1^3*T2^8 - 280*T1^4*T2^8 + 361*T1^5*T2^8 - 
      467*T1^6*T2^8 - 651*T1^7*T2^8 - 467*T1^8*T2^8 + 361*T1^9*T2^8 - 
      280*T1^10*T2^8 + 108*T1^11*T2^8 + 76*T1^12*T2^8 - 103*T1^3*T2^9 + 
      108*T1^4*T2^9 - 15*T1^5*T2^9 - 102*T1^6*T2^9 + 361*T1^7*T2^9 + 
      361*T1^8*T2^9 - 102*T1^9*T2^9 - 15*T1^10*T2^9 + 108*T1^11*T2^9 - 
      103*T1^12*T2^9 + 76*T1^4*T2^10 - 160*T1^5*T2^10 + 154*T1^6*T2^10 - 
      15*T1^7*T2^10 - 280*T1^8*T2^10 - 15*T1^9*T2^10 + 154*T1^10*T2^10 - 
      160*T1^11*T2^10 + 76*T1^12*T2^10 - 36*T1^5*T2^11 + 108*T1^6*T2^11 - 
      160*T1^7*T2^11 + 108*T1^8*T2^11 + 108*T1^9*T2^11 - 160*T1^10*T2^11 + 
      108*T1^11*T2^11 - 36*T1^12*T2^11 + 9*T1^6*T2^12 - 36*T1^7*T2^12 + 
      76*T1^8*T2^12 - 103*T1^9*T2^12 + 76*T1^10*T2^12 - 36*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, 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), 
   -((1 - 7*T1 + 24*T1^2 - 48*T1^3 + 59*T1^4 - 48*T1^5 + 24*T1^6 - 7*T1^7 + 
      T1^8 - 7*T2 + 42*T1*T2 - 119*T1^2*T2 + 168*T1^3*T2 - 77*T1^4*T2 - 
      77*T1^5*T2 + 168*T1^6*T2 - 119*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 
      24*T2^2 - 119*T1*T2^2 + 254*T1^2*T2^2 - 134*T1^3*T2^2 - 378*T1^4*T2^2 + 
      618*T1^5*T2^2 - 378*T1^6*T2^2 - 134*T1^7*T2^2 + 254*T1^8*T2^2 - 
      119*T1^9*T2^2 + 24*T1^10*T2^2 - 48*T2^3 + 168*T1*T2^3 - 134*T1^2*T2^3 - 
      606*T1^3*T2^3 + 1522*T1^4*T2^3 - 736*T1^5*T2^3 - 736*T1^6*T2^3 + 
      1522*T1^7*T2^3 - 606*T1^8*T2^3 - 134*T1^9*T2^3 + 168*T1^10*T2^3 - 
      48*T1^11*T2^3 + 59*T2^4 - 77*T1*T2^4 - 378*T1^2*T2^4 + 1522*T1^3*T2^4 - 
      1211*T1^4*T2^4 - 2402*T1^5*T2^4 + 4133*T1^6*T2^4 - 2402*T1^7*T2^4 - 
      1211*T1^8*T2^4 + 1522*T1^9*T2^4 - 378*T1^10*T2^4 - 77*T1^11*T2^4 + 
      59*T1^12*T2^4 - 48*T2^5 - 77*T1*T2^5 + 618*T1^2*T2^5 - 736*T1^3*T2^5 - 
      2402*T1^4*T2^5 + 6932*T1^5*T2^5 - 3529*T1^6*T2^5 - 3529*T1^7*T2^5 + 
      6932*T1^8*T2^5 - 2402*T1^9*T2^5 - 736*T1^10*T2^5 + 618*T1^11*T2^5 - 
      77*T1^12*T2^5 - 48*T1^13*T2^5 + 24*T2^6 + 168*T1*T2^6 - 378*T1^2*T2^6 - 
      736*T1^3*T2^6 + 4133*T1^4*T2^6 - 3529*T1^5*T2^6 - 7344*T1^6*T2^6 + 
      13282*T1^7*T2^6 - 7344*T1^8*T2^6 - 3529*T1^9*T2^6 + 4133*T1^10*T2^6 - 
      736*T1^11*T2^6 - 378*T1^12*T2^6 + 168*T1^13*T2^6 + 24*T1^14*T2^6 - 
      7*T2^7 - 119*T1*T2^7 - 134*T1^2*T2^7 + 1522*T1^3*T2^7 - 
      2402*T1^4*T2^7 - 3529*T1^5*T2^7 + 13282*T1^6*T2^7 - 7500*T1^7*T2^7 - 
      7500*T1^8*T2^7 + 13282*T1^9*T2^7 - 3529*T1^10*T2^7 - 2402*T1^11*T2^7 + 
      1522*T1^12*T2^7 - 134*T1^13*T2^7 - 119*T1^14*T2^7 - 7*T1^15*T2^7 + 
      T2^8 + 42*T1*T2^8 + 254*T1^2*T2^8 - 606*T1^3*T2^8 - 1211*T1^4*T2^8 + 
      6932*T1^5*T2^8 - 7344*T1^6*T2^8 - 7500*T1^7*T2^8 + 16632*T1^8*T2^8 - 
      7500*T1^9*T2^8 - 7344*T1^10*T2^8 + 6932*T1^11*T2^8 - 1211*T1^12*T2^8 - 
      606*T1^13*T2^8 + 254*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 
      7*T1*T2^9 - 119*T1^2*T2^9 - 134*T1^3*T2^9 + 1522*T1^4*T2^9 - 
      2402*T1^5*T2^9 - 3529*T1^6*T2^9 + 13282*T1^7*T2^9 - 7500*T1^8*T2^9 - 
      7500*T1^9*T2^9 + 13282*T1^10*T2^9 - 3529*T1^11*T2^9 - 2402*T1^12*T2^9 + 
      1522*T1^13*T2^9 - 134*T1^14*T2^9 - 119*T1^15*T2^9 - 7*T1^16*T2^9 + 
      24*T1^2*T2^10 + 168*T1^3*T2^10 - 378*T1^4*T2^10 - 736*T1^5*T2^10 + 
      4133*T1^6*T2^10 - 3529*T1^7*T2^10 - 7344*T1^8*T2^10 + 
      13282*T1^9*T2^10 - 7344*T1^10*T2^10 - 3529*T1^11*T2^10 + 
      4133*T1^12*T2^10 - 736*T1^13*T2^10 - 378*T1^14*T2^10 + 
      168*T1^15*T2^10 + 24*T1^16*T2^10 - 48*T1^3*T2^11 - 77*T1^4*T2^11 + 
      618*T1^5*T2^11 - 736*T1^6*T2^11 - 2402*T1^7*T2^11 + 6932*T1^8*T2^11 - 
      3529*T1^9*T2^11 - 3529*T1^10*T2^11 + 6932*T1^11*T2^11 - 
      2402*T1^12*T2^11 - 736*T1^13*T2^11 + 618*T1^14*T2^11 - 77*T1^15*T2^11 - 
      48*T1^16*T2^11 + 59*T1^4*T2^12 - 77*T1^5*T2^12 - 378*T1^6*T2^12 + 
      1522*T1^7*T2^12 - 1211*T1^8*T2^12 - 2402*T1^9*T2^12 + 
      4133*T1^10*T2^12 - 2402*T1^11*T2^12 - 1211*T1^12*T2^12 + 
      1522*T1^13*T2^12 - 378*T1^14*T2^12 - 77*T1^15*T2^12 + 59*T1^16*T2^12 - 
      48*T1^5*T2^13 + 168*T1^6*T2^13 - 134*T1^7*T2^13 - 606*T1^8*T2^13 + 
      1522*T1^9*T2^13 - 736*T1^10*T2^13 - 736*T1^11*T2^13 + 
      1522*T1^12*T2^13 - 606*T1^13*T2^13 - 134*T1^14*T2^13 + 
      168*T1^15*T2^13 - 48*T1^16*T2^13 + 24*T1^6*T2^14 - 119*T1^7*T2^14 + 
      254*T1^8*T2^14 - 134*T1^9*T2^14 - 378*T1^10*T2^14 + 618*T1^11*T2^14 - 
      378*T1^12*T2^14 - 134*T1^13*T2^14 + 254*T1^14*T2^14 - 119*T1^15*T2^14 + 
      24*T1^16*T2^14 - 7*T1^7*T2^15 + 42*T1^8*T2^15 - 119*T1^9*T2^15 + 
      168*T1^10*T2^15 - 77*T1^11*T2^15 - 77*T1^12*T2^15 + 168*T1^13*T2^15 - 
      119*T1^14*T2^15 + 42*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 
      7*T1^9*T2^16 + 24*T1^10*T2^16 - 48*T1^11*T2^16 + 59*T1^12*T2^16 - 
      48*T1^13*T2^16 + 24*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 914] -> 
  {(5 - 25*T + 59*T^2 - 77*T^3 + 59*T^4 - 25*T^5 + 5*T^6)/T^3, 
   -((145 - 720*T1 + 1700*T1^2 - 2213*T1^3 + 1700*T1^4 - 720*T1^5 + 
      145*T1^6 - 720*T2 + 2860*T1*T2 - 4875*T1^2*T2 + 2554*T1^3*T2 + 
      2554*T1^4*T2 - 4875*T1^5*T2 + 2860*T1^6*T2 - 720*T1^7*T2 + 1700*T2^2 - 
      4875*T1*T2^2 + 3812*T1^2*T2^2 + 7803*T1^3*T2^2 - 15150*T1^4*T2^2 + 
      7803*T1^5*T2^2 + 3812*T1^6*T2^2 - 4875*T1^7*T2^2 + 1700*T1^8*T2^2 - 
      2213*T2^3 + 2554*T1*T2^3 + 7803*T1^2*T2^3 - 26168*T1^3*T2^3 + 
      15422*T1^4*T2^3 + 15422*T1^5*T2^3 - 26168*T1^6*T2^3 + 7803*T1^7*T2^3 + 
      2554*T1^8*T2^3 - 2213*T1^9*T2^3 + 1700*T2^4 + 2554*T1*T2^4 - 
      15150*T1^2*T2^4 + 15422*T1^3*T2^4 + 33518*T1^4*T2^4 - 65190*T1^5*T2^4 + 
      33518*T1^6*T2^4 + 15422*T1^7*T2^4 - 15150*T1^8*T2^4 + 2554*T1^9*T2^4 + 
      1700*T1^10*T2^4 - 720*T2^5 - 4875*T1*T2^5 + 7803*T1^2*T2^5 + 
      15422*T1^3*T2^5 - 65190*T1^4*T2^5 + 39208*T1^5*T2^5 + 39208*T1^6*T2^5 - 
      65190*T1^7*T2^5 + 15422*T1^8*T2^5 + 7803*T1^9*T2^5 - 4875*T1^10*T2^5 - 
      720*T1^11*T2^5 + 145*T2^6 + 2860*T1*T2^6 + 3812*T1^2*T2^6 - 
      26168*T1^3*T2^6 + 33518*T1^4*T2^6 + 39208*T1^5*T2^6 - 87540*T1^6*T2^6 + 
      39208*T1^7*T2^6 + 33518*T1^8*T2^6 - 26168*T1^9*T2^6 + 3812*T1^10*T2^6 + 
      2860*T1^11*T2^6 + 145*T1^12*T2^6 - 720*T1*T2^7 - 4875*T1^2*T2^7 + 
      7803*T1^3*T2^7 + 15422*T1^4*T2^7 - 65190*T1^5*T2^7 + 39208*T1^6*T2^7 + 
      39208*T1^7*T2^7 - 65190*T1^8*T2^7 + 15422*T1^9*T2^7 + 7803*T1^10*T2^7 - 
      4875*T1^11*T2^7 - 720*T1^12*T2^7 + 1700*T1^2*T2^8 + 2554*T1^3*T2^8 - 
      15150*T1^4*T2^8 + 15422*T1^5*T2^8 + 33518*T1^6*T2^8 - 65190*T1^7*T2^8 + 
      33518*T1^8*T2^8 + 15422*T1^9*T2^8 - 15150*T1^10*T2^8 + 
      2554*T1^11*T2^8 + 1700*T1^12*T2^8 - 2213*T1^3*T2^9 + 2554*T1^4*T2^9 + 
      7803*T1^5*T2^9 - 26168*T1^6*T2^9 + 15422*T1^7*T2^9 + 15422*T1^8*T2^9 - 
      26168*T1^9*T2^9 + 7803*T1^10*T2^9 + 2554*T1^11*T2^9 - 2213*T1^12*T2^9 + 
      1700*T1^4*T2^10 - 4875*T1^5*T2^10 + 3812*T1^6*T2^10 + 7803*T1^7*T2^10 - 
      15150*T1^8*T2^10 + 7803*T1^9*T2^10 + 3812*T1^10*T2^10 - 
      4875*T1^11*T2^10 + 1700*T1^12*T2^10 - 720*T1^5*T2^11 + 
      2860*T1^6*T2^11 - 4875*T1^7*T2^11 + 2554*T1^8*T2^11 + 2554*T1^9*T2^11 - 
      4875*T1^10*T2^11 + 2860*T1^11*T2^11 - 720*T1^12*T2^11 + 
      145*T1^6*T2^12 - 720*T1^7*T2^12 + 1700*T1^8*T2^12 - 2213*T1^9*T2^12 + 
      1700*T1^10*T2^12 - 720*T1^11*T2^12 + 145*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 915] -> 
  {(3 - 23*T + 65*T^2 - 89*T^3 + 65*T^4 - 23*T^5 + 3*T^6)/T^3, 
   (30 - 226*T1 + 631*T1^2 - 858*T1^3 + 631*T1^4 - 226*T1^5 + 30*T1^6 - 
     226*T2 + 1474*T1*T2 - 3040*T1^2*T2 + 1704*T1^3*T2 + 1704*T1^4*T2 - 
     3040*T1^5*T2 + 1474*T1^6*T2 - 226*T1^7*T2 + 631*T2^2 - 3040*T1*T2^2 + 
     1133*T1^2*T2^2 + 12587*T1^3*T2^2 - 21519*T1^4*T2^2 + 12587*T1^5*T2^2 + 
     1133*T1^6*T2^2 - 3040*T1^7*T2^2 + 631*T1^8*T2^2 - 858*T2^3 + 
     1704*T1*T2^3 + 12587*T1^2*T2^3 - 38932*T1^3*T2^3 + 23521*T1^4*T2^3 + 
     23521*T1^5*T2^3 - 38932*T1^6*T2^3 + 12587*T1^7*T2^3 + 1704*T1^8*T2^3 - 
     858*T1^9*T2^3 + 631*T2^4 + 1704*T1*T2^4 - 21519*T1^2*T2^4 + 
     23521*T1^3*T2^4 + 55579*T1^4*T2^4 - 110641*T1^5*T2^4 + 55579*T1^6*T2^4 + 
     23521*T1^7*T2^4 - 21519*T1^8*T2^4 + 1704*T1^9*T2^4 + 631*T1^10*T2^4 - 
     226*T2^5 - 3040*T1*T2^5 + 12587*T1^2*T2^5 + 23521*T1^3*T2^5 - 
     110641*T1^4*T2^5 + 70380*T1^5*T2^5 + 70380*T1^6*T2^5 - 
     110641*T1^7*T2^5 + 23521*T1^8*T2^5 + 12587*T1^9*T2^5 - 3040*T1^10*T2^5 - 
     226*T1^11*T2^5 + 30*T2^6 + 1474*T1*T2^6 + 1133*T1^2*T2^6 - 
     38932*T1^3*T2^6 + 55579*T1^4*T2^6 + 70380*T1^5*T2^6 - 162000*T1^6*T2^6 + 
     70380*T1^7*T2^6 + 55579*T1^8*T2^6 - 38932*T1^9*T2^6 + 1133*T1^10*T2^6 + 
     1474*T1^11*T2^6 + 30*T1^12*T2^6 - 226*T1*T2^7 - 3040*T1^2*T2^7 + 
     12587*T1^3*T2^7 + 23521*T1^4*T2^7 - 110641*T1^5*T2^7 + 70380*T1^6*T2^7 + 
     70380*T1^7*T2^7 - 110641*T1^8*T2^7 + 23521*T1^9*T2^7 + 
     12587*T1^10*T2^7 - 3040*T1^11*T2^7 - 226*T1^12*T2^7 + 631*T1^2*T2^8 + 
     1704*T1^3*T2^8 - 21519*T1^4*T2^8 + 23521*T1^5*T2^8 + 55579*T1^6*T2^8 - 
     110641*T1^7*T2^8 + 55579*T1^8*T2^8 + 23521*T1^9*T2^8 - 
     21519*T1^10*T2^8 + 1704*T1^11*T2^8 + 631*T1^12*T2^8 - 858*T1^3*T2^9 + 
     1704*T1^4*T2^9 + 12587*T1^5*T2^9 - 38932*T1^6*T2^9 + 23521*T1^7*T2^9 + 
     23521*T1^8*T2^9 - 38932*T1^9*T2^9 + 12587*T1^10*T2^9 + 1704*T1^11*T2^9 - 
     858*T1^12*T2^9 + 631*T1^4*T2^10 - 3040*T1^5*T2^10 + 1133*T1^6*T2^10 + 
     12587*T1^7*T2^10 - 21519*T1^8*T2^10 + 12587*T1^9*T2^10 + 
     1133*T1^10*T2^10 - 3040*T1^11*T2^10 + 631*T1^12*T2^10 - 226*T1^5*T2^11 + 
     1474*T1^6*T2^11 - 3040*T1^7*T2^11 + 1704*T1^8*T2^11 + 1704*T1^9*T2^11 - 
     3040*T1^10*T2^11 + 1474*T1^11*T2^11 - 226*T1^12*T2^11 + 30*T1^6*T2^12 - 
     226*T1^7*T2^12 + 631*T1^8*T2^12 - 858*T1^9*T2^12 + 631*T1^10*T2^12 - 
     226*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 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, -((1 - 4*T1 + 10*T1^2 - 18*T1^3 + 26*T1^4 - 29*T1^5 + 
      26*T1^6 - 18*T1^7 + 10*T1^8 - 4*T1^9 + T1^10 - 4*T2 + 12*T1*T2 - 
      24*T1^2*T2 + 32*T1^3*T2 - 32*T1^4*T2 + 12*T1^5*T2 + 12*T1^6*T2 - 
      32*T1^7*T2 + 32*T1^8*T2 - 24*T1^9*T2 + 12*T1^10*T2 - 4*T1^11*T2 + 
      10*T2^2 - 24*T1*T2^2 + 46*T1^2*T2^2 - 59*T1^3*T2^2 + 67*T1^4*T2^2 - 
      40*T1^5*T2^2 + 36*T1^6*T2^2 - 40*T1^7*T2^2 + 67*T1^8*T2^2 - 
      59*T1^9*T2^2 + 46*T1^10*T2^2 - 24*T1^11*T2^2 + 10*T1^12*T2^2 - 
      18*T2^3 + 32*T1*T2^3 - 59*T1^2*T2^3 + 60*T1^3*T2^3 - 58*T1^4*T2^3 - 
      13*T1^5*T2^3 - T1^6*T2^3 - T1^7*T2^3 - 13*T1^8*T2^3 - 58*T1^9*T2^3 + 
      60*T1^10*T2^3 - 59*T1^11*T2^3 + 32*T1^12*T2^3 - 18*T1^13*T2^3 + 
      26*T2^4 - 32*T1*T2^4 + 67*T1^2*T2^4 - 58*T1^3*T2^4 + 75*T1^4*T2^4 + 
      5*T1^5*T2^4 + 112*T1^6*T2^4 - 111*T1^7*T2^4 + 112*T1^8*T2^4 + 
      5*T1^9*T2^4 + 75*T1^10*T2^4 - 58*T1^11*T2^4 + 67*T1^12*T2^4 - 
      32*T1^13*T2^4 + 26*T1^14*T2^4 - 29*T2^5 + 12*T1*T2^5 - 40*T1^2*T2^5 - 
      13*T1^3*T2^5 + 5*T1^4*T2^5 - 122*T1^5*T2^5 - 93*T1^6*T2^5 + 
      6*T1^7*T2^5 + 6*T1^8*T2^5 - 93*T1^9*T2^5 - 122*T1^10*T2^5 + 
      5*T1^11*T2^5 - 13*T1^12*T2^5 - 40*T1^13*T2^5 + 12*T1^14*T2^5 - 
      29*T1^15*T2^5 + 26*T2^6 + 12*T1*T2^6 + 36*T1^2*T2^6 - T1^3*T2^6 + 
      112*T1^4*T2^6 - 93*T1^5*T2^6 + 469*T1^6*T2^6 - 255*T1^7*T2^6 + 
      281*T1^8*T2^6 - 255*T1^9*T2^6 + 469*T1^10*T2^6 - 93*T1^11*T2^6 + 
      112*T1^12*T2^6 - T1^13*T2^6 + 36*T1^14*T2^6 + 12*T1^15*T2^6 + 
      26*T1^16*T2^6 - 18*T2^7 - 32*T1*T2^7 - 40*T1^2*T2^7 - T1^3*T2^7 - 
      111*T1^4*T2^7 + 6*T1^5*T2^7 - 255*T1^6*T2^7 - 228*T1^7*T2^7 + 
      56*T1^8*T2^7 + 56*T1^9*T2^7 - 228*T1^10*T2^7 - 255*T1^11*T2^7 + 
      6*T1^12*T2^7 - 111*T1^13*T2^7 - T1^14*T2^7 - 40*T1^15*T2^7 - 
      32*T1^16*T2^7 - 18*T1^17*T2^7 + 10*T2^8 + 32*T1*T2^8 + 67*T1^2*T2^8 - 
      13*T1^3*T2^8 + 112*T1^4*T2^8 + 6*T1^5*T2^8 + 281*T1^6*T2^8 + 
      56*T1^7*T2^8 + 565*T1^8*T2^8 - 699*T1^9*T2^8 + 565*T1^10*T2^8 + 
      56*T1^11*T2^8 + 281*T1^12*T2^8 + 6*T1^13*T2^8 + 112*T1^14*T2^8 - 
      13*T1^15*T2^8 + 67*T1^16*T2^8 + 32*T1^17*T2^8 + 10*T1^18*T2^8 - 
      4*T2^9 - 24*T1*T2^9 - 59*T1^2*T2^9 - 58*T1^3*T2^9 + 5*T1^4*T2^9 - 
      93*T1^5*T2^9 - 255*T1^6*T2^9 + 56*T1^7*T2^9 - 699*T1^8*T2^9 + 
      276*T1^9*T2^9 + 276*T1^10*T2^9 - 699*T1^11*T2^9 + 56*T1^12*T2^9 - 
      255*T1^13*T2^9 - 93*T1^14*T2^9 + 5*T1^15*T2^9 - 58*T1^16*T2^9 - 
      59*T1^17*T2^9 - 24*T1^18*T2^9 - 4*T1^19*T2^9 + T2^10 + 12*T1*T2^10 + 
      46*T1^2*T2^10 + 60*T1^3*T2^10 + 75*T1^4*T2^10 - 122*T1^5*T2^10 + 
      469*T1^6*T2^10 - 228*T1^7*T2^10 + 565*T1^8*T2^10 + 276*T1^9*T2^10 - 
      540*T1^10*T2^10 + 276*T1^11*T2^10 + 565*T1^12*T2^10 - 228*T1^13*T2^10 + 
      469*T1^14*T2^10 - 122*T1^15*T2^10 + 75*T1^16*T2^10 + 60*T1^17*T2^10 + 
      46*T1^18*T2^10 + 12*T1^19*T2^10 + T1^20*T2^10 - 4*T1*T2^11 - 
      24*T1^2*T2^11 - 59*T1^3*T2^11 - 58*T1^4*T2^11 + 5*T1^5*T2^11 - 
      93*T1^6*T2^11 - 255*T1^7*T2^11 + 56*T1^8*T2^11 - 699*T1^9*T2^11 + 
      276*T1^10*T2^11 + 276*T1^11*T2^11 - 699*T1^12*T2^11 + 56*T1^13*T2^11 - 
      255*T1^14*T2^11 - 93*T1^15*T2^11 + 5*T1^16*T2^11 - 58*T1^17*T2^11 - 
      59*T1^18*T2^11 - 24*T1^19*T2^11 - 4*T1^20*T2^11 + 10*T1^2*T2^12 + 
      32*T1^3*T2^12 + 67*T1^4*T2^12 - 13*T1^5*T2^12 + 112*T1^6*T2^12 + 
      6*T1^7*T2^12 + 281*T1^8*T2^12 + 56*T1^9*T2^12 + 565*T1^10*T2^12 - 
      699*T1^11*T2^12 + 565*T1^12*T2^12 + 56*T1^13*T2^12 + 281*T1^14*T2^12 + 
      6*T1^15*T2^12 + 112*T1^16*T2^12 - 13*T1^17*T2^12 + 67*T1^18*T2^12 + 
      32*T1^19*T2^12 + 10*T1^20*T2^12 - 18*T1^3*T2^13 - 32*T1^4*T2^13 - 
      40*T1^5*T2^13 - T1^6*T2^13 - 111*T1^7*T2^13 + 6*T1^8*T2^13 - 
      255*T1^9*T2^13 - 228*T1^10*T2^13 + 56*T1^11*T2^13 + 56*T1^12*T2^13 - 
      228*T1^13*T2^13 - 255*T1^14*T2^13 + 6*T1^15*T2^13 - 111*T1^16*T2^13 - 
      T1^17*T2^13 - 40*T1^18*T2^13 - 32*T1^19*T2^13 - 18*T1^20*T2^13 + 
      26*T1^4*T2^14 + 12*T1^5*T2^14 + 36*T1^6*T2^14 - T1^7*T2^14 + 
      112*T1^8*T2^14 - 93*T1^9*T2^14 + 469*T1^10*T2^14 - 255*T1^11*T2^14 + 
      281*T1^12*T2^14 - 255*T1^13*T2^14 + 469*T1^14*T2^14 - 93*T1^15*T2^14 + 
      112*T1^16*T2^14 - T1^17*T2^14 + 36*T1^18*T2^14 + 12*T1^19*T2^14 + 
      26*T1^20*T2^14 - 29*T1^5*T2^15 + 12*T1^6*T2^15 - 40*T1^7*T2^15 - 
      13*T1^8*T2^15 + 5*T1^9*T2^15 - 122*T1^10*T2^15 - 93*T1^11*T2^15 + 
      6*T1^12*T2^15 + 6*T1^13*T2^15 - 93*T1^14*T2^15 - 122*T1^15*T2^15 + 
      5*T1^16*T2^15 - 13*T1^17*T2^15 - 40*T1^18*T2^15 + 12*T1^19*T2^15 - 
      29*T1^20*T2^15 + 26*T1^6*T2^16 - 32*T1^7*T2^16 + 67*T1^8*T2^16 - 
      58*T1^9*T2^16 + 75*T1^10*T2^16 + 5*T1^11*T2^16 + 112*T1^12*T2^16 - 
      111*T1^13*T2^16 + 112*T1^14*T2^16 + 5*T1^15*T2^16 + 75*T1^16*T2^16 - 
      58*T1^17*T2^16 + 67*T1^18*T2^16 - 32*T1^19*T2^16 + 26*T1^20*T2^16 - 
      18*T1^7*T2^17 + 32*T1^8*T2^17 - 59*T1^9*T2^17 + 60*T1^10*T2^17 - 
      58*T1^11*T2^17 - 13*T1^12*T2^17 - T1^13*T2^17 - T1^14*T2^17 - 
      13*T1^15*T2^17 - 58*T1^16*T2^17 + 60*T1^17*T2^17 - 59*T1^18*T2^17 + 
      32*T1^19*T2^17 - 18*T1^20*T2^17 + 10*T1^8*T2^18 - 24*T1^9*T2^18 + 
      46*T1^10*T2^18 - 59*T1^11*T2^18 + 67*T1^12*T2^18 - 40*T1^13*T2^18 + 
      36*T1^14*T2^18 - 40*T1^15*T2^18 + 67*T1^16*T2^18 - 59*T1^17*T2^18 + 
      46*T1^18*T2^18 - 24*T1^19*T2^18 + 10*T1^20*T2^18 - 4*T1^9*T2^19 + 
      12*T1^10*T2^19 - 24*T1^11*T2^19 + 32*T1^12*T2^19 - 32*T1^13*T2^19 + 
      12*T1^14*T2^19 + 12*T1^15*T2^19 - 32*T1^16*T2^19 + 32*T1^17*T2^19 - 
      24*T1^18*T2^19 + 12*T1^19*T2^19 - 4*T1^20*T2^19 + T1^10*T2^20 - 
      4*T1^11*T2^20 + 10*T1^12*T2^20 - 18*T1^13*T2^20 + 26*T1^14*T2^20 - 
      29*T1^15*T2^20 + 26*T1^16*T2^20 - 18*T1^17*T2^20 + 10*T1^18*T2^20 - 
      4*T1^19*T2^20 + T1^20*T2^20)/(T1^10*T2^10))}, 
 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, -((1 - 4*T1 + 10*T1^2 - 17*T1^3 + 21*T1^4 - 17*T1^5 + 10*T1^6 - 
      4*T1^7 + T1^8 - 4*T2 + 12*T1*T2 - 24*T1^2*T2 + 28*T1^3*T2 - 
      16*T1^4*T2 - 16*T1^5*T2 + 28*T1^6*T2 - 24*T1^7*T2 + 12*T1^8*T2 - 
      4*T1^9*T2 + 10*T2^2 - 24*T1*T2^2 + 52*T1^2*T2^2 - 73*T1^3*T2^2 + 
      92*T1^4*T2^2 - 76*T1^5*T2^2 + 92*T1^6*T2^2 - 73*T1^7*T2^2 + 
      52*T1^8*T2^2 - 24*T1^9*T2^2 + 10*T1^10*T2^2 - 17*T2^3 + 28*T1*T2^3 - 
      73*T1^2*T2^3 + 96*T1^3*T2^3 - 123*T1^4*T2^3 + 24*T1^5*T2^3 + 
      24*T1^6*T2^3 - 123*T1^7*T2^3 + 96*T1^8*T2^3 - 73*T1^9*T2^3 + 
      28*T1^10*T2^3 - 17*T1^11*T2^3 + 21*T2^4 - 16*T1*T2^4 + 92*T1^2*T2^4 - 
      123*T1^3*T2^4 + 216*T1^4*T2^4 - 82*T1^5*T2^4 + 134*T1^6*T2^4 - 
      82*T1^7*T2^4 + 216*T1^8*T2^4 - 123*T1^9*T2^4 + 92*T1^10*T2^4 - 
      16*T1^11*T2^4 + 21*T1^12*T2^4 - 17*T2^5 - 16*T1*T2^5 - 76*T1^2*T2^5 + 
      24*T1^3*T2^5 - 82*T1^4*T2^5 - 192*T1^5*T2^5 - 18*T1^6*T2^5 - 
      18*T1^7*T2^5 - 192*T1^8*T2^5 - 82*T1^9*T2^5 + 24*T1^10*T2^5 - 
      76*T1^11*T2^5 - 16*T1^12*T2^5 - 17*T1^13*T2^5 + 10*T2^6 + 28*T1*T2^6 + 
      92*T1^2*T2^6 + 24*T1^3*T2^6 + 134*T1^4*T2^6 - 18*T1^5*T2^6 + 
      667*T1^6*T2^6 - 571*T1^7*T2^6 + 667*T1^8*T2^6 - 18*T1^9*T2^6 + 
      134*T1^10*T2^6 + 24*T1^11*T2^6 + 92*T1^12*T2^6 + 28*T1^13*T2^6 + 
      10*T1^14*T2^6 - 4*T2^7 - 24*T1*T2^7 - 73*T1^2*T2^7 - 123*T1^3*T2^7 - 
      82*T1^4*T2^7 - 18*T1^5*T2^7 - 571*T1^6*T2^7 - 10*T1^7*T2^7 - 
      10*T1^8*T2^7 - 571*T1^9*T2^7 - 18*T1^10*T2^7 - 82*T1^11*T2^7 - 
      123*T1^12*T2^7 - 73*T1^13*T2^7 - 24*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 
      12*T1*T2^8 + 52*T1^2*T2^8 + 96*T1^3*T2^8 + 216*T1^4*T2^8 - 
      192*T1^5*T2^8 + 667*T1^6*T2^8 - 10*T1^7*T2^8 + 336*T1^8*T2^8 - 
      10*T1^9*T2^8 + 667*T1^10*T2^8 - 192*T1^11*T2^8 + 216*T1^12*T2^8 + 
      96*T1^13*T2^8 + 52*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 
      4*T1*T2^9 - 24*T1^2*T2^9 - 73*T1^3*T2^9 - 123*T1^4*T2^9 - 
      82*T1^5*T2^9 - 18*T1^6*T2^9 - 571*T1^7*T2^9 - 10*T1^8*T2^9 - 
      10*T1^9*T2^9 - 571*T1^10*T2^9 - 18*T1^11*T2^9 - 82*T1^12*T2^9 - 
      123*T1^13*T2^9 - 73*T1^14*T2^9 - 24*T1^15*T2^9 - 4*T1^16*T2^9 + 
      10*T1^2*T2^10 + 28*T1^3*T2^10 + 92*T1^4*T2^10 + 24*T1^5*T2^10 + 
      134*T1^6*T2^10 - 18*T1^7*T2^10 + 667*T1^8*T2^10 - 571*T1^9*T2^10 + 
      667*T1^10*T2^10 - 18*T1^11*T2^10 + 134*T1^12*T2^10 + 24*T1^13*T2^10 + 
      92*T1^14*T2^10 + 28*T1^15*T2^10 + 10*T1^16*T2^10 - 17*T1^3*T2^11 - 
      16*T1^4*T2^11 - 76*T1^5*T2^11 + 24*T1^6*T2^11 - 82*T1^7*T2^11 - 
      192*T1^8*T2^11 - 18*T1^9*T2^11 - 18*T1^10*T2^11 - 192*T1^11*T2^11 - 
      82*T1^12*T2^11 + 24*T1^13*T2^11 - 76*T1^14*T2^11 - 16*T1^15*T2^11 - 
      17*T1^16*T2^11 + 21*T1^4*T2^12 - 16*T1^5*T2^12 + 92*T1^6*T2^12 - 
      123*T1^7*T2^12 + 216*T1^8*T2^12 - 82*T1^9*T2^12 + 134*T1^10*T2^12 - 
      82*T1^11*T2^12 + 216*T1^12*T2^12 - 123*T1^13*T2^12 + 92*T1^14*T2^12 - 
      16*T1^15*T2^12 + 21*T1^16*T2^12 - 17*T1^5*T2^13 + 28*T1^6*T2^13 - 
      73*T1^7*T2^13 + 96*T1^8*T2^13 - 123*T1^9*T2^13 + 24*T1^10*T2^13 + 
      24*T1^11*T2^13 - 123*T1^12*T2^13 + 96*T1^13*T2^13 - 73*T1^14*T2^13 + 
      28*T1^15*T2^13 - 17*T1^16*T2^13 + 10*T1^6*T2^14 - 24*T1^7*T2^14 + 
      52*T1^8*T2^14 - 73*T1^9*T2^14 + 92*T1^10*T2^14 - 76*T1^11*T2^14 + 
      92*T1^12*T2^14 - 73*T1^13*T2^14 + 52*T1^14*T2^14 - 24*T1^15*T2^14 + 
      10*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 24*T1^9*T2^15 + 
      28*T1^10*T2^15 - 16*T1^11*T2^15 - 16*T1^12*T2^15 + 28*T1^13*T2^15 - 
      24*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 
      4*T1^9*T2^16 + 10*T1^10*T2^16 - 17*T1^11*T2^16 + 21*T1^12*T2^16 - 
      17*T1^13*T2^16 + 10*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, 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), (1 - 9*T1 + 29*T1^2 - 53*T1^3 + 63*T1^4 - 53*T1^5 + 29*T1^6 - 
     9*T1^7 + T1^8 - 9*T2 + 72*T1*T2 - 180*T1^2*T2 + 216*T1^3*T2 - 
     90*T1^4*T2 - 90*T1^5*T2 + 216*T1^6*T2 - 180*T1^7*T2 + 72*T1^8*T2 - 
     9*T1^9*T2 + 29*T2^2 - 180*T1*T2^2 + 148*T1^2*T2^2 + 522*T1^3*T2^2 - 
     1565*T1^4*T2^2 + 1956*T1^5*T2^2 - 1565*T1^6*T2^2 + 522*T1^7*T2^2 + 
     148*T1^8*T2^2 - 180*T1^9*T2^2 + 29*T1^10*T2^2 - 53*T2^3 + 216*T1*T2^3 + 
     522*T1^2*T2^3 - 2402*T1^3*T2^3 + 3351*T1^4*T2^3 - 1340*T1^5*T2^3 - 
     1340*T1^6*T2^3 + 3351*T1^7*T2^3 - 2402*T1^8*T2^3 + 522*T1^9*T2^3 + 
     216*T1^10*T2^3 - 53*T1^11*T2^3 + 63*T2^4 - 90*T1*T2^4 - 1565*T1^2*T2^4 + 
     3351*T1^3*T2^4 - 989*T1^4*T2^4 - 5273*T1^5*T2^4 + 7327*T1^6*T2^4 - 
     5273*T1^7*T2^4 - 989*T1^8*T2^4 + 3351*T1^9*T2^4 - 1565*T1^10*T2^4 - 
     90*T1^11*T2^4 + 63*T1^12*T2^4 - 53*T2^5 - 90*T1*T2^5 + 1956*T1^2*T2^5 - 
     1340*T1^3*T2^5 - 5273*T1^4*T2^5 + 11004*T1^5*T2^5 - 4485*T1^6*T2^5 - 
     4485*T1^7*T2^5 + 11004*T1^8*T2^5 - 5273*T1^9*T2^5 - 1340*T1^10*T2^5 + 
     1956*T1^11*T2^5 - 90*T1^12*T2^5 - 53*T1^13*T2^5 + 29*T2^6 + 
     216*T1*T2^6 - 1565*T1^2*T2^6 - 1340*T1^3*T2^6 + 7327*T1^4*T2^6 - 
     4485*T1^5*T2^6 - 11548*T1^6*T2^6 + 17350*T1^7*T2^6 - 11548*T1^8*T2^6 - 
     4485*T1^9*T2^6 + 7327*T1^10*T2^6 - 1340*T1^11*T2^6 - 1565*T1^12*T2^6 + 
     216*T1^13*T2^6 + 29*T1^14*T2^6 - 9*T2^7 - 180*T1*T2^7 + 522*T1^2*T2^7 + 
     3351*T1^3*T2^7 - 5273*T1^4*T2^7 - 4485*T1^5*T2^7 + 17350*T1^6*T2^7 - 
     7864*T1^7*T2^7 - 7864*T1^8*T2^7 + 17350*T1^9*T2^7 - 4485*T1^10*T2^7 - 
     5273*T1^11*T2^7 + 3351*T1^12*T2^7 + 522*T1^13*T2^7 - 180*T1^14*T2^7 - 
     9*T1^15*T2^7 + T2^8 + 72*T1*T2^8 + 148*T1^2*T2^8 - 2402*T1^3*T2^8 - 
     989*T1^4*T2^8 + 11004*T1^5*T2^8 - 11548*T1^6*T2^8 - 7864*T1^7*T2^8 + 
     15816*T1^8*T2^8 - 7864*T1^9*T2^8 - 11548*T1^10*T2^8 + 11004*T1^11*T2^8 - 
     989*T1^12*T2^8 - 2402*T1^13*T2^8 + 148*T1^14*T2^8 + 72*T1^15*T2^8 + 
     T1^16*T2^8 - 9*T1*T2^9 - 180*T1^2*T2^9 + 522*T1^3*T2^9 + 
     3351*T1^4*T2^9 - 5273*T1^5*T2^9 - 4485*T1^6*T2^9 + 17350*T1^7*T2^9 - 
     7864*T1^8*T2^9 - 7864*T1^9*T2^9 + 17350*T1^10*T2^9 - 4485*T1^11*T2^9 - 
     5273*T1^12*T2^9 + 3351*T1^13*T2^9 + 522*T1^14*T2^9 - 180*T1^15*T2^9 - 
     9*T1^16*T2^9 + 29*T1^2*T2^10 + 216*T1^3*T2^10 - 1565*T1^4*T2^10 - 
     1340*T1^5*T2^10 + 7327*T1^6*T2^10 - 4485*T1^7*T2^10 - 11548*T1^8*T2^10 + 
     17350*T1^9*T2^10 - 11548*T1^10*T2^10 - 4485*T1^11*T2^10 + 
     7327*T1^12*T2^10 - 1340*T1^13*T2^10 - 1565*T1^14*T2^10 + 
     216*T1^15*T2^10 + 29*T1^16*T2^10 - 53*T1^3*T2^11 - 90*T1^4*T2^11 + 
     1956*T1^5*T2^11 - 1340*T1^6*T2^11 - 5273*T1^7*T2^11 + 11004*T1^8*T2^11 - 
     4485*T1^9*T2^11 - 4485*T1^10*T2^11 + 11004*T1^11*T2^11 - 
     5273*T1^12*T2^11 - 1340*T1^13*T2^11 + 1956*T1^14*T2^11 - 
     90*T1^15*T2^11 - 53*T1^16*T2^11 + 63*T1^4*T2^12 - 90*T1^5*T2^12 - 
     1565*T1^6*T2^12 + 3351*T1^7*T2^12 - 989*T1^8*T2^12 - 5273*T1^9*T2^12 + 
     7327*T1^10*T2^12 - 5273*T1^11*T2^12 - 989*T1^12*T2^12 + 
     3351*T1^13*T2^12 - 1565*T1^14*T2^12 - 90*T1^15*T2^12 + 63*T1^16*T2^12 - 
     53*T1^5*T2^13 + 216*T1^6*T2^13 + 522*T1^7*T2^13 - 2402*T1^8*T2^13 + 
     3351*T1^9*T2^13 - 1340*T1^10*T2^13 - 1340*T1^11*T2^13 + 
     3351*T1^12*T2^13 - 2402*T1^13*T2^13 + 522*T1^14*T2^13 + 
     216*T1^15*T2^13 - 53*T1^16*T2^13 + 29*T1^6*T2^14 - 180*T1^7*T2^14 + 
     148*T1^8*T2^14 + 522*T1^9*T2^14 - 1565*T1^10*T2^14 + 1956*T1^11*T2^14 - 
     1565*T1^12*T2^14 + 522*T1^13*T2^14 + 148*T1^14*T2^14 - 180*T1^15*T2^14 + 
     29*T1^16*T2^14 - 9*T1^7*T2^15 + 72*T1^8*T2^15 - 180*T1^9*T2^15 + 
     216*T1^10*T2^15 - 90*T1^11*T2^15 - 90*T1^12*T2^15 + 216*T1^13*T2^15 - 
     180*T1^14*T2^15 + 72*T1^15*T2^15 - 9*T1^16*T2^15 + T1^8*T2^16 - 
     9*T1^9*T2^16 + 29*T1^10*T2^16 - 53*T1^11*T2^16 + 63*T1^12*T2^16 - 
     53*T1^13*T2^16 + 29*T1^14*T2^16 - 9*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 919] -> 
  {-((2 - 16*T + 45*T^2 - 63*T^3 + 45*T^4 - 16*T^5 + 2*T^6)/T^3), 
   (1 - 9*T1 + 26*T1^2 - 37*T1^3 + 26*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
     72*T1*T2 - 153*T1^2*T2 + 99*T1^3*T2 + 99*T1^4*T2 - 153*T1^5*T2 + 
     72*T1^6*T2 - 9*T1^7*T2 + 26*T2^2 - 153*T1*T2^2 - 18*T1^2*T2^2 + 
     877*T1^3*T2^2 - 1594*T1^4*T2^2 + 877*T1^5*T2^2 - 18*T1^6*T2^2 - 
     153*T1^7*T2^2 + 26*T1^8*T2^2 - 37*T2^3 + 99*T1*T2^3 + 877*T1^2*T2^3 - 
     2552*T1^3*T2^3 + 1875*T1^4*T2^3 + 1875*T1^5*T2^3 - 2552*T1^6*T2^3 + 
     877*T1^7*T2^3 + 99*T1^8*T2^3 - 37*T1^9*T2^3 + 26*T2^4 + 99*T1*T2^4 - 
     1594*T1^2*T2^4 + 1875*T1^3*T2^4 + 2806*T1^4*T2^4 - 7776*T1^5*T2^4 + 
     2806*T1^6*T2^4 + 1875*T1^7*T2^4 - 1594*T1^8*T2^4 + 99*T1^9*T2^4 + 
     26*T1^10*T2^4 - 9*T2^5 - 153*T1*T2^5 + 877*T1^2*T2^5 + 1875*T1^3*T2^5 - 
     7776*T1^4*T2^5 + 6364*T1^5*T2^5 + 6364*T1^6*T2^5 - 7776*T1^7*T2^5 + 
     1875*T1^8*T2^5 + 877*T1^9*T2^5 - 153*T1^10*T2^5 - 9*T1^11*T2^5 + T2^6 + 
     72*T1*T2^6 - 18*T1^2*T2^6 - 2552*T1^3*T2^6 + 2806*T1^4*T2^6 + 
     6364*T1^5*T2^6 - 16176*T1^6*T2^6 + 6364*T1^7*T2^6 + 2806*T1^8*T2^6 - 
     2552*T1^9*T2^6 - 18*T1^10*T2^6 + 72*T1^11*T2^6 + T1^12*T2^6 - 
     9*T1*T2^7 - 153*T1^2*T2^7 + 877*T1^3*T2^7 + 1875*T1^4*T2^7 - 
     7776*T1^5*T2^7 + 6364*T1^6*T2^7 + 6364*T1^7*T2^7 - 7776*T1^8*T2^7 + 
     1875*T1^9*T2^7 + 877*T1^10*T2^7 - 153*T1^11*T2^7 - 9*T1^12*T2^7 + 
     26*T1^2*T2^8 + 99*T1^3*T2^8 - 1594*T1^4*T2^8 + 1875*T1^5*T2^8 + 
     2806*T1^6*T2^8 - 7776*T1^7*T2^8 + 2806*T1^8*T2^8 + 1875*T1^9*T2^8 - 
     1594*T1^10*T2^8 + 99*T1^11*T2^8 + 26*T1^12*T2^8 - 37*T1^3*T2^9 + 
     99*T1^4*T2^9 + 877*T1^5*T2^9 - 2552*T1^6*T2^9 + 1875*T1^7*T2^9 + 
     1875*T1^8*T2^9 - 2552*T1^9*T2^9 + 877*T1^10*T2^9 + 99*T1^11*T2^9 - 
     37*T1^12*T2^9 + 26*T1^4*T2^10 - 153*T1^5*T2^10 - 18*T1^6*T2^10 + 
     877*T1^7*T2^10 - 1594*T1^8*T2^10 + 877*T1^9*T2^10 - 18*T1^10*T2^10 - 
     153*T1^11*T2^10 + 26*T1^12*T2^10 - 9*T1^5*T2^11 + 72*T1^6*T2^11 - 
     153*T1^7*T2^11 + 99*T1^8*T2^11 + 99*T1^9*T2^11 - 153*T1^10*T2^11 + 
     72*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 
     26*T1^8*T2^12 - 37*T1^9*T2^12 + 26*T1^10*T2^12 - 9*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, 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), -((2 - 8*T1 + 18*T1^2 - 32*T1^3 + 42*T1^4 - 46*T1^5 + 
      42*T1^6 - 32*T1^7 + 18*T1^8 - 8*T1^9 + 2*T1^10 - 8*T2 + 24*T1*T2 - 
      40*T1^2*T2 + 56*T1^3*T2 - 40*T1^4*T2 + 16*T1^5*T2 + 16*T1^6*T2 - 
      40*T1^7*T2 + 56*T1^8*T2 - 40*T1^9*T2 + 24*T1^10*T2 - 8*T1^11*T2 + 
      18*T2^2 - 40*T1*T2^2 + 51*T1^2*T2^2 - 67*T1^3*T2^2 + 14*T1^4*T2^2 - 
      6*T1^5*T2^2 - 7*T1^6*T2^2 - 6*T1^7*T2^2 + 14*T1^8*T2^2 - 67*T1^9*T2^2 + 
      51*T1^10*T2^2 - 40*T1^11*T2^2 + 18*T1^12*T2^2 - 32*T2^3 + 56*T1*T2^3 - 
      67*T1^2*T2^3 + 102*T1^3*T2^3 - 3*T1^4*T2^3 + 47*T1^5*T2^3 - 
      4*T1^6*T2^3 - 4*T1^7*T2^3 + 47*T1^8*T2^3 - 3*T1^9*T2^3 + 
      102*T1^10*T2^3 - 67*T1^11*T2^3 + 56*T1^12*T2^3 - 32*T1^13*T2^3 + 
      42*T2^4 - 40*T1*T2^4 + 14*T1^2*T2^4 - 3*T1^3*T2^4 - 231*T1^4*T2^4 + 
      153*T1^5*T2^4 - 311*T1^6*T2^4 + 303*T1^7*T2^4 - 311*T1^8*T2^4 + 
      153*T1^9*T2^4 - 231*T1^10*T2^4 - 3*T1^11*T2^4 + 14*T1^12*T2^4 - 
      40*T1^13*T2^4 + 42*T1^14*T2^4 - 46*T2^5 + 16*T1*T2^5 - 6*T1^2*T2^5 + 
      47*T1^3*T2^5 + 153*T1^4*T2^5 + 144*T1^5*T2^5 + 89*T1^6*T2^5 + 
      17*T1^7*T2^5 + 17*T1^8*T2^5 + 89*T1^9*T2^5 + 144*T1^10*T2^5 + 
      153*T1^11*T2^5 + 47*T1^12*T2^5 - 6*T1^13*T2^5 + 16*T1^14*T2^5 - 
      46*T1^15*T2^5 + 42*T2^6 + 16*T1*T2^6 - 7*T1^2*T2^6 - 4*T1^3*T2^6 - 
      311*T1^4*T2^6 + 89*T1^5*T2^6 - 720*T1^6*T2^6 + 632*T1^7*T2^6 - 
      772*T1^8*T2^6 + 632*T1^9*T2^6 - 720*T1^10*T2^6 + 89*T1^11*T2^6 - 
      311*T1^12*T2^6 - 4*T1^13*T2^6 - 7*T1^14*T2^6 + 16*T1^15*T2^6 + 
      42*T1^16*T2^6 - 32*T2^7 - 40*T1*T2^7 - 6*T1^2*T2^7 - 4*T1^3*T2^7 + 
      303*T1^4*T2^7 + 17*T1^5*T2^7 + 632*T1^6*T2^7 - 122*T1^7*T2^7 + 
      140*T1^8*T2^7 + 140*T1^9*T2^7 - 122*T1^10*T2^7 + 632*T1^11*T2^7 + 
      17*T1^12*T2^7 + 303*T1^13*T2^7 - 4*T1^14*T2^7 - 6*T1^15*T2^7 - 
      40*T1^16*T2^7 - 32*T1^17*T2^7 + 18*T2^8 + 56*T1*T2^8 + 14*T1^2*T2^8 + 
      47*T1^3*T2^8 - 311*T1^4*T2^8 + 17*T1^5*T2^8 - 772*T1^6*T2^8 + 
      140*T1^7*T2^8 - 470*T1^8*T2^8 + 348*T1^9*T2^8 - 470*T1^10*T2^8 + 
      140*T1^11*T2^8 - 772*T1^12*T2^8 + 17*T1^13*T2^8 - 311*T1^14*T2^8 + 
      47*T1^15*T2^8 + 14*T1^16*T2^8 + 56*T1^17*T2^8 + 18*T1^18*T2^8 - 
      8*T2^9 - 40*T1*T2^9 - 67*T1^2*T2^9 - 3*T1^3*T2^9 + 153*T1^4*T2^9 + 
      89*T1^5*T2^9 + 632*T1^6*T2^9 + 140*T1^7*T2^9 + 348*T1^8*T2^9 - 
      28*T1^9*T2^9 - 28*T1^10*T2^9 + 348*T1^11*T2^9 + 140*T1^12*T2^9 + 
      632*T1^13*T2^9 + 89*T1^14*T2^9 + 153*T1^15*T2^9 - 3*T1^16*T2^9 - 
      67*T1^17*T2^9 - 40*T1^18*T2^9 - 8*T1^19*T2^9 + 2*T2^10 + 24*T1*T2^10 + 
      51*T1^2*T2^10 + 102*T1^3*T2^10 - 231*T1^4*T2^10 + 144*T1^5*T2^10 - 
      720*T1^6*T2^10 - 122*T1^7*T2^10 - 470*T1^8*T2^10 - 28*T1^9*T2^10 - 
      24*T1^10*T2^10 - 28*T1^11*T2^10 - 470*T1^12*T2^10 - 122*T1^13*T2^10 - 
      720*T1^14*T2^10 + 144*T1^15*T2^10 - 231*T1^16*T2^10 + 102*T1^17*T2^10 + 
      51*T1^18*T2^10 + 24*T1^19*T2^10 + 2*T1^20*T2^10 - 8*T1*T2^11 - 
      40*T1^2*T2^11 - 67*T1^3*T2^11 - 3*T1^4*T2^11 + 153*T1^5*T2^11 + 
      89*T1^6*T2^11 + 632*T1^7*T2^11 + 140*T1^8*T2^11 + 348*T1^9*T2^11 - 
      28*T1^10*T2^11 - 28*T1^11*T2^11 + 348*T1^12*T2^11 + 140*T1^13*T2^11 + 
      632*T1^14*T2^11 + 89*T1^15*T2^11 + 153*T1^16*T2^11 - 3*T1^17*T2^11 - 
      67*T1^18*T2^11 - 40*T1^19*T2^11 - 8*T1^20*T2^11 + 18*T1^2*T2^12 + 
      56*T1^3*T2^12 + 14*T1^4*T2^12 + 47*T1^5*T2^12 - 311*T1^6*T2^12 + 
      17*T1^7*T2^12 - 772*T1^8*T2^12 + 140*T1^9*T2^12 - 470*T1^10*T2^12 + 
      348*T1^11*T2^12 - 470*T1^12*T2^12 + 140*T1^13*T2^12 - 772*T1^14*T2^12 + 
      17*T1^15*T2^12 - 311*T1^16*T2^12 + 47*T1^17*T2^12 + 14*T1^18*T2^12 + 
      56*T1^19*T2^12 + 18*T1^20*T2^12 - 32*T1^3*T2^13 - 40*T1^4*T2^13 - 
      6*T1^5*T2^13 - 4*T1^6*T2^13 + 303*T1^7*T2^13 + 17*T1^8*T2^13 + 
      632*T1^9*T2^13 - 122*T1^10*T2^13 + 140*T1^11*T2^13 + 140*T1^12*T2^13 - 
      122*T1^13*T2^13 + 632*T1^14*T2^13 + 17*T1^15*T2^13 + 303*T1^16*T2^13 - 
      4*T1^17*T2^13 - 6*T1^18*T2^13 - 40*T1^19*T2^13 - 32*T1^20*T2^13 + 
      42*T1^4*T2^14 + 16*T1^5*T2^14 - 7*T1^6*T2^14 - 4*T1^7*T2^14 - 
      311*T1^8*T2^14 + 89*T1^9*T2^14 - 720*T1^10*T2^14 + 632*T1^11*T2^14 - 
      772*T1^12*T2^14 + 632*T1^13*T2^14 - 720*T1^14*T2^14 + 89*T1^15*T2^14 - 
      311*T1^16*T2^14 - 4*T1^17*T2^14 - 7*T1^18*T2^14 + 16*T1^19*T2^14 + 
      42*T1^20*T2^14 - 46*T1^5*T2^15 + 16*T1^6*T2^15 - 6*T1^7*T2^15 + 
      47*T1^8*T2^15 + 153*T1^9*T2^15 + 144*T1^10*T2^15 + 89*T1^11*T2^15 + 
      17*T1^12*T2^15 + 17*T1^13*T2^15 + 89*T1^14*T2^15 + 144*T1^15*T2^15 + 
      153*T1^16*T2^15 + 47*T1^17*T2^15 - 6*T1^18*T2^15 + 16*T1^19*T2^15 - 
      46*T1^20*T2^15 + 42*T1^6*T2^16 - 40*T1^7*T2^16 + 14*T1^8*T2^16 - 
      3*T1^9*T2^16 - 231*T1^10*T2^16 + 153*T1^11*T2^16 - 311*T1^12*T2^16 + 
      303*T1^13*T2^16 - 311*T1^14*T2^16 + 153*T1^15*T2^16 - 231*T1^16*T2^16 - 
      3*T1^17*T2^16 + 14*T1^18*T2^16 - 40*T1^19*T2^16 + 42*T1^20*T2^16 - 
      32*T1^7*T2^17 + 56*T1^8*T2^17 - 67*T1^9*T2^17 + 102*T1^10*T2^17 - 
      3*T1^11*T2^17 + 47*T1^12*T2^17 - 4*T1^13*T2^17 - 4*T1^14*T2^17 + 
      47*T1^15*T2^17 - 3*T1^16*T2^17 + 102*T1^17*T2^17 - 67*T1^18*T2^17 + 
      56*T1^19*T2^17 - 32*T1^20*T2^17 + 18*T1^8*T2^18 - 40*T1^9*T2^18 + 
      51*T1^10*T2^18 - 67*T1^11*T2^18 + 14*T1^12*T2^18 - 6*T1^13*T2^18 - 
      7*T1^14*T2^18 - 6*T1^15*T2^18 + 14*T1^16*T2^18 - 67*T1^17*T2^18 + 
      51*T1^18*T2^18 - 40*T1^19*T2^18 + 18*T1^20*T2^18 - 8*T1^9*T2^19 + 
      24*T1^10*T2^19 - 40*T1^11*T2^19 + 56*T1^12*T2^19 - 40*T1^13*T2^19 + 
      16*T1^14*T2^19 + 16*T1^15*T2^19 - 40*T1^16*T2^19 + 56*T1^17*T2^19 - 
      40*T1^18*T2^19 + 24*T1^19*T2^19 - 8*T1^20*T2^19 + 2*T1^10*T2^20 - 
      8*T1^11*T2^20 + 18*T1^12*T2^20 - 32*T1^13*T2^20 + 42*T1^14*T2^20 - 
      46*T1^15*T2^20 + 42*T1^16*T2^20 - 32*T1^17*T2^20 + 18*T1^18*T2^20 - 
      8*T1^19*T2^20 + 2*T1^20*T2^20)/(T1^10*T2^10))}, 
 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), 
   -((9 - 40*T1 + 93*T1^2 - 155*T1^3 + 181*T1^4 - 155*T1^5 + 93*T1^6 - 
      40*T1^7 + 9*T1^8 - 40*T2 + 138*T1*T2 - 236*T1^2*T2 + 276*T1^3*T2 - 
      116*T1^4*T2 - 116*T1^5*T2 + 276*T1^6*T2 - 236*T1^7*T2 + 138*T1^8*T2 - 
      40*T1^9*T2 + 93*T2^2 - 236*T1*T2^2 + 261*T1^2*T2^2 - 160*T1^3*T2^2 - 
      287*T1^4*T2^2 + 461*T1^5*T2^2 - 287*T1^6*T2^2 - 160*T1^7*T2^2 + 
      261*T1^8*T2^2 - 236*T1^9*T2^2 + 93*T1^10*T2^2 - 155*T2^3 + 
      276*T1*T2^3 - 160*T1^2*T2^3 + 4*T1^3*T2^3 + 599*T1^4*T2^3 - 
      264*T1^5*T2^3 - 264*T1^6*T2^3 + 599*T1^7*T2^3 + 4*T1^8*T2^3 - 
      160*T1^9*T2^3 + 276*T1^10*T2^3 - 155*T1^11*T2^3 + 181*T2^4 - 
      116*T1*T2^4 - 287*T1^2*T2^4 + 599*T1^3*T2^4 - 1428*T1^4*T2^4 + 
      423*T1^5*T2^4 - 100*T1^6*T2^4 + 423*T1^7*T2^4 - 1428*T1^8*T2^4 + 
      599*T1^9*T2^4 - 287*T1^10*T2^4 - 116*T1^11*T2^4 + 181*T1^12*T2^4 - 
      155*T2^5 - 116*T1*T2^5 + 461*T1^2*T2^5 - 264*T1^3*T2^5 + 
      423*T1^4*T2^5 + 1548*T1^5*T2^5 - 697*T1^6*T2^5 - 697*T1^7*T2^5 + 
      1548*T1^8*T2^5 + 423*T1^9*T2^5 - 264*T1^10*T2^5 + 461*T1^11*T2^5 - 
      116*T1^12*T2^5 - 155*T1^13*T2^5 + 93*T2^6 + 276*T1*T2^6 - 
      287*T1^2*T2^6 - 264*T1^3*T2^6 - 100*T1^4*T2^6 - 697*T1^5*T2^6 - 
      2788*T1^6*T2^6 + 4046*T1^7*T2^6 - 2788*T1^8*T2^6 - 697*T1^9*T2^6 - 
      100*T1^10*T2^6 - 264*T1^11*T2^6 - 287*T1^12*T2^6 + 276*T1^13*T2^6 + 
      93*T1^14*T2^6 - 40*T2^7 - 236*T1*T2^7 - 160*T1^2*T2^7 + 599*T1^3*T2^7 + 
      423*T1^4*T2^7 - 697*T1^5*T2^7 + 4046*T1^6*T2^7 - 1782*T1^7*T2^7 - 
      1782*T1^8*T2^7 + 4046*T1^9*T2^7 - 697*T1^10*T2^7 + 423*T1^11*T2^7 + 
      599*T1^12*T2^7 - 160*T1^13*T2^7 - 236*T1^14*T2^7 - 40*T1^15*T2^7 + 
      9*T2^8 + 138*T1*T2^8 + 261*T1^2*T2^8 + 4*T1^3*T2^8 - 1428*T1^4*T2^8 + 
      1548*T1^5*T2^8 - 2788*T1^6*T2^8 - 1782*T1^7*T2^8 + 3468*T1^8*T2^8 - 
      1782*T1^9*T2^8 - 2788*T1^10*T2^8 + 1548*T1^11*T2^8 - 1428*T1^12*T2^8 + 
      4*T1^13*T2^8 + 261*T1^14*T2^8 + 138*T1^15*T2^8 + 9*T1^16*T2^8 - 
      40*T1*T2^9 - 236*T1^2*T2^9 - 160*T1^3*T2^9 + 599*T1^4*T2^9 + 
      423*T1^5*T2^9 - 697*T1^6*T2^9 + 4046*T1^7*T2^9 - 1782*T1^8*T2^9 - 
      1782*T1^9*T2^9 + 4046*T1^10*T2^9 - 697*T1^11*T2^9 + 423*T1^12*T2^9 + 
      599*T1^13*T2^9 - 160*T1^14*T2^9 - 236*T1^15*T2^9 - 40*T1^16*T2^9 + 
      93*T1^2*T2^10 + 276*T1^3*T2^10 - 287*T1^4*T2^10 - 264*T1^5*T2^10 - 
      100*T1^6*T2^10 - 697*T1^7*T2^10 - 2788*T1^8*T2^10 + 4046*T1^9*T2^10 - 
      2788*T1^10*T2^10 - 697*T1^11*T2^10 - 100*T1^12*T2^10 - 
      264*T1^13*T2^10 - 287*T1^14*T2^10 + 276*T1^15*T2^10 + 93*T1^16*T2^10 - 
      155*T1^3*T2^11 - 116*T1^4*T2^11 + 461*T1^5*T2^11 - 264*T1^6*T2^11 + 
      423*T1^7*T2^11 + 1548*T1^8*T2^11 - 697*T1^9*T2^11 - 697*T1^10*T2^11 + 
      1548*T1^11*T2^11 + 423*T1^12*T2^11 - 264*T1^13*T2^11 + 
      461*T1^14*T2^11 - 116*T1^15*T2^11 - 155*T1^16*T2^11 + 181*T1^4*T2^12 - 
      116*T1^5*T2^12 - 287*T1^6*T2^12 + 599*T1^7*T2^12 - 1428*T1^8*T2^12 + 
      423*T1^9*T2^12 - 100*T1^10*T2^12 + 423*T1^11*T2^12 - 1428*T1^12*T2^12 + 
      599*T1^13*T2^12 - 287*T1^14*T2^12 - 116*T1^15*T2^12 + 181*T1^16*T2^12 - 
      155*T1^5*T2^13 + 276*T1^6*T2^13 - 160*T1^7*T2^13 + 4*T1^8*T2^13 + 
      599*T1^9*T2^13 - 264*T1^10*T2^13 - 264*T1^11*T2^13 + 599*T1^12*T2^13 + 
      4*T1^13*T2^13 - 160*T1^14*T2^13 + 276*T1^15*T2^13 - 155*T1^16*T2^13 + 
      93*T1^6*T2^14 - 236*T1^7*T2^14 + 261*T1^8*T2^14 - 160*T1^9*T2^14 - 
      287*T1^10*T2^14 + 461*T1^11*T2^14 - 287*T1^12*T2^14 - 160*T1^13*T2^14 + 
      261*T1^14*T2^14 - 236*T1^15*T2^14 + 93*T1^16*T2^14 - 40*T1^7*T2^15 + 
      138*T1^8*T2^15 - 236*T1^9*T2^15 + 276*T1^10*T2^15 - 116*T1^11*T2^15 - 
      116*T1^12*T2^15 + 276*T1^13*T2^15 - 236*T1^14*T2^15 + 138*T1^15*T2^15 - 
      40*T1^16*T2^15 + 9*T1^8*T2^16 - 40*T1^9*T2^16 + 93*T1^10*T2^16 - 
      155*T1^11*T2^16 + 181*T1^12*T2^16 - 155*T1^13*T2^16 + 93*T1^14*T2^16 - 
      40*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8))}, 
 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), -((9 - 48*T1 + 137*T1^2 - 255*T1^3 + 309*T1^4 - 255*T1^5 + 
      137*T1^6 - 48*T1^7 + 9*T1^8 - 48*T2 + 208*T1*T2 - 473*T1^2*T2 + 
      625*T1^3*T2 - 286*T1^4*T2 - 286*T1^5*T2 + 625*T1^6*T2 - 473*T1^7*T2 + 
      208*T1^8*T2 - 48*T1^9*T2 + 137*T2^2 - 473*T1*T2^2 + 836*T1^2*T2^2 - 
      653*T1^3*T2^2 - 572*T1^4*T2^2 + 1170*T1^5*T2^2 - 572*T1^6*T2^2 - 
      653*T1^7*T2^2 + 836*T1^8*T2^2 - 473*T1^9*T2^2 + 137*T1^10*T2^2 - 
      255*T2^3 + 625*T1*T2^3 - 653*T1^2*T2^3 - 422*T1^3*T2^3 + 
      2427*T1^4*T2^3 - 1213*T1^5*T2^3 - 1213*T1^6*T2^3 + 2427*T1^7*T2^3 - 
      422*T1^8*T2^3 - 653*T1^9*T2^3 + 625*T1^10*T2^3 - 255*T1^11*T2^3 + 
      309*T2^4 - 286*T1*T2^4 - 572*T1^2*T2^4 + 2427*T1^3*T2^4 - 
      3314*T1^4*T2^4 - 2308*T1^5*T2^4 + 4760*T1^6*T2^4 - 2308*T1^7*T2^4 - 
      3314*T1^8*T2^4 + 2427*T1^9*T2^4 - 572*T1^10*T2^4 - 286*T1^11*T2^4 + 
      309*T1^12*T2^4 - 255*T2^5 - 286*T1*T2^5 + 1170*T1^2*T2^5 - 
      1213*T1^3*T2^5 - 2308*T1^4*T2^5 + 10858*T1^5*T2^5 - 5139*T1^6*T2^5 - 
      5139*T1^7*T2^5 + 10858*T1^8*T2^5 - 2308*T1^9*T2^5 - 1213*T1^10*T2^5 + 
      1170*T1^11*T2^5 - 286*T1^12*T2^5 - 255*T1^13*T2^5 + 137*T2^6 + 
      625*T1*T2^6 - 572*T1^2*T2^6 - 1213*T1^3*T2^6 + 4760*T1^4*T2^6 - 
      5139*T1^5*T2^6 - 15050*T1^6*T2^6 + 23566*T1^7*T2^6 - 15050*T1^8*T2^6 - 
      5139*T1^9*T2^6 + 4760*T1^10*T2^6 - 1213*T1^11*T2^6 - 572*T1^12*T2^6 + 
      625*T1^13*T2^6 + 137*T1^14*T2^6 - 48*T2^7 - 473*T1*T2^7 - 
      653*T1^2*T2^7 + 2427*T1^3*T2^7 - 2308*T1^4*T2^7 - 5139*T1^5*T2^7 + 
      23566*T1^6*T2^7 - 11112*T1^7*T2^7 - 11112*T1^8*T2^7 + 23566*T1^9*T2^7 - 
      5139*T1^10*T2^7 - 2308*T1^11*T2^7 + 2427*T1^12*T2^7 - 653*T1^13*T2^7 - 
      473*T1^14*T2^7 - 48*T1^15*T2^7 + 9*T2^8 + 208*T1*T2^8 + 836*T1^2*T2^8 - 
      422*T1^3*T2^8 - 3314*T1^4*T2^8 + 10858*T1^5*T2^8 - 15050*T1^6*T2^8 - 
      11112*T1^7*T2^8 + 22188*T1^8*T2^8 - 11112*T1^9*T2^8 - 
      15050*T1^10*T2^8 + 10858*T1^11*T2^8 - 3314*T1^12*T2^8 - 
      422*T1^13*T2^8 + 836*T1^14*T2^8 + 208*T1^15*T2^8 + 9*T1^16*T2^8 - 
      48*T1*T2^9 - 473*T1^2*T2^9 - 653*T1^3*T2^9 + 2427*T1^4*T2^9 - 
      2308*T1^5*T2^9 - 5139*T1^6*T2^9 + 23566*T1^7*T2^9 - 11112*T1^8*T2^9 - 
      11112*T1^9*T2^9 + 23566*T1^10*T2^9 - 5139*T1^11*T2^9 - 
      2308*T1^12*T2^9 + 2427*T1^13*T2^9 - 653*T1^14*T2^9 - 473*T1^15*T2^9 - 
      48*T1^16*T2^9 + 137*T1^2*T2^10 + 625*T1^3*T2^10 - 572*T1^4*T2^10 - 
      1213*T1^5*T2^10 + 4760*T1^6*T2^10 - 5139*T1^7*T2^10 - 
      15050*T1^8*T2^10 + 23566*T1^9*T2^10 - 15050*T1^10*T2^10 - 
      5139*T1^11*T2^10 + 4760*T1^12*T2^10 - 1213*T1^13*T2^10 - 
      572*T1^14*T2^10 + 625*T1^15*T2^10 + 137*T1^16*T2^10 - 255*T1^3*T2^11 - 
      286*T1^4*T2^11 + 1170*T1^5*T2^11 - 1213*T1^6*T2^11 - 2308*T1^7*T2^11 + 
      10858*T1^8*T2^11 - 5139*T1^9*T2^11 - 5139*T1^10*T2^11 + 
      10858*T1^11*T2^11 - 2308*T1^12*T2^11 - 1213*T1^13*T2^11 + 
      1170*T1^14*T2^11 - 286*T1^15*T2^11 - 255*T1^16*T2^11 + 309*T1^4*T2^12 - 
      286*T1^5*T2^12 - 572*T1^6*T2^12 + 2427*T1^7*T2^12 - 3314*T1^8*T2^12 - 
      2308*T1^9*T2^12 + 4760*T1^10*T2^12 - 2308*T1^11*T2^12 - 
      3314*T1^12*T2^12 + 2427*T1^13*T2^12 - 572*T1^14*T2^12 - 
      286*T1^15*T2^12 + 309*T1^16*T2^12 - 255*T1^5*T2^13 + 625*T1^6*T2^13 - 
      653*T1^7*T2^13 - 422*T1^8*T2^13 + 2427*T1^9*T2^13 - 1213*T1^10*T2^13 - 
      1213*T1^11*T2^13 + 2427*T1^12*T2^13 - 422*T1^13*T2^13 - 
      653*T1^14*T2^13 + 625*T1^15*T2^13 - 255*T1^16*T2^13 + 137*T1^6*T2^14 - 
      473*T1^7*T2^14 + 836*T1^8*T2^14 - 653*T1^9*T2^14 - 572*T1^10*T2^14 + 
      1170*T1^11*T2^14 - 572*T1^12*T2^14 - 653*T1^13*T2^14 + 
      836*T1^14*T2^14 - 473*T1^15*T2^14 + 137*T1^16*T2^14 - 48*T1^7*T2^15 + 
      208*T1^8*T2^15 - 473*T1^9*T2^15 + 625*T1^10*T2^15 - 286*T1^11*T2^15 - 
      286*T1^12*T2^15 + 625*T1^13*T2^15 - 473*T1^14*T2^15 + 208*T1^15*T2^15 - 
      48*T1^16*T2^15 + 9*T1^8*T2^16 - 48*T1^9*T2^16 + 137*T1^10*T2^16 - 
      255*T1^11*T2^16 + 309*T1^12*T2^16 - 255*T1^13*T2^16 + 137*T1^14*T2^16 - 
      48*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 923] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)*(1 - T + T^2 - T^3 + T^4))/T^4), 
   -((25 - 111*T1 + 220*T1^2 - 305*T1^3 + 329*T1^4 - 305*T1^5 + 220*T1^6 - 
      111*T1^7 + 25*T1^8 - 111*T2 + 382*T1*T2 - 485*T1^2*T2 + 378*T1^3*T2 - 
      107*T1^4*T2 - 107*T1^5*T2 + 378*T1^6*T2 - 485*T1^7*T2 + 382*T1^8*T2 - 
      111*T1^9*T2 + 220*T2^2 - 485*T1*T2^2 - 29*T1^2*T2^2 + 703*T1^3*T2^2 - 
      1232*T1^4*T2^2 + 1187*T1^5*T2^2 - 1232*T1^6*T2^2 + 703*T1^7*T2^2 - 
      29*T1^8*T2^2 - 485*T1^9*T2^2 + 220*T1^10*T2^2 - 305*T2^3 + 
      378*T1*T2^3 + 703*T1^2*T2^3 - 1000*T1^3*T2^3 + 809*T1^4*T2^3 + 
      12*T1^5*T2^3 + 12*T1^6*T2^3 + 809*T1^7*T2^3 - 1000*T1^8*T2^3 + 
      703*T1^9*T2^3 + 378*T1^10*T2^3 - 305*T1^11*T2^3 + 329*T2^4 - 
      107*T1*T2^4 - 1232*T1^2*T2^4 + 809*T1^3*T2^4 - 608*T1^4*T2^4 + 
      151*T1^5*T2^4 - 1008*T1^6*T2^4 + 151*T1^7*T2^4 - 608*T1^8*T2^4 + 
      809*T1^9*T2^4 - 1232*T1^10*T2^4 - 107*T1^11*T2^4 + 329*T1^12*T2^4 - 
      305*T2^5 - 107*T1*T2^5 + 1187*T1^2*T2^5 + 12*T1^3*T2^5 + 
      151*T1^4*T2^5 + 224*T1^5*T2^5 + 669*T1^6*T2^5 + 669*T1^7*T2^5 + 
      224*T1^8*T2^5 + 151*T1^9*T2^5 + 12*T1^10*T2^5 + 1187*T1^11*T2^5 - 
      107*T1^12*T2^5 - 305*T1^13*T2^5 + 220*T2^6 + 378*T1*T2^6 - 
      1232*T1^2*T2^6 + 12*T1^3*T2^6 - 1008*T1^4*T2^6 + 669*T1^5*T2^6 - 
      1712*T1^6*T2^6 + 448*T1^7*T2^6 - 1712*T1^8*T2^6 + 669*T1^9*T2^6 - 
      1008*T1^10*T2^6 + 12*T1^11*T2^6 - 1232*T1^12*T2^6 + 378*T1^13*T2^6 + 
      220*T1^14*T2^6 - 111*T2^7 - 485*T1*T2^7 + 703*T1^2*T2^7 + 
      809*T1^3*T2^7 + 151*T1^4*T2^7 + 669*T1^5*T2^7 + 448*T1^6*T2^7 + 
      686*T1^7*T2^7 + 686*T1^8*T2^7 + 448*T1^9*T2^7 + 669*T1^10*T2^7 + 
      151*T1^11*T2^7 + 809*T1^12*T2^7 + 703*T1^13*T2^7 - 485*T1^14*T2^7 - 
      111*T1^15*T2^7 + 25*T2^8 + 382*T1*T2^8 - 29*T1^2*T2^8 - 
      1000*T1^3*T2^8 - 608*T1^4*T2^8 + 224*T1^5*T2^8 - 1712*T1^6*T2^8 + 
      686*T1^7*T2^8 - 1968*T1^8*T2^8 + 686*T1^9*T2^8 - 1712*T1^10*T2^8 + 
      224*T1^11*T2^8 - 608*T1^12*T2^8 - 1000*T1^13*T2^8 - 29*T1^14*T2^8 + 
      382*T1^15*T2^8 + 25*T1^16*T2^8 - 111*T1*T2^9 - 485*T1^2*T2^9 + 
      703*T1^3*T2^9 + 809*T1^4*T2^9 + 151*T1^5*T2^9 + 669*T1^6*T2^9 + 
      448*T1^7*T2^9 + 686*T1^8*T2^9 + 686*T1^9*T2^9 + 448*T1^10*T2^9 + 
      669*T1^11*T2^9 + 151*T1^12*T2^9 + 809*T1^13*T2^9 + 703*T1^14*T2^9 - 
      485*T1^15*T2^9 - 111*T1^16*T2^9 + 220*T1^2*T2^10 + 378*T1^3*T2^10 - 
      1232*T1^4*T2^10 + 12*T1^5*T2^10 - 1008*T1^6*T2^10 + 669*T1^7*T2^10 - 
      1712*T1^8*T2^10 + 448*T1^9*T2^10 - 1712*T1^10*T2^10 + 669*T1^11*T2^10 - 
      1008*T1^12*T2^10 + 12*T1^13*T2^10 - 1232*T1^14*T2^10 + 
      378*T1^15*T2^10 + 220*T1^16*T2^10 - 305*T1^3*T2^11 - 107*T1^4*T2^11 + 
      1187*T1^5*T2^11 + 12*T1^6*T2^11 + 151*T1^7*T2^11 + 224*T1^8*T2^11 + 
      669*T1^9*T2^11 + 669*T1^10*T2^11 + 224*T1^11*T2^11 + 151*T1^12*T2^11 + 
      12*T1^13*T2^11 + 1187*T1^14*T2^11 - 107*T1^15*T2^11 - 305*T1^16*T2^11 + 
      329*T1^4*T2^12 - 107*T1^5*T2^12 - 1232*T1^6*T2^12 + 809*T1^7*T2^12 - 
      608*T1^8*T2^12 + 151*T1^9*T2^12 - 1008*T1^10*T2^12 + 151*T1^11*T2^12 - 
      608*T1^12*T2^12 + 809*T1^13*T2^12 - 1232*T1^14*T2^12 - 
      107*T1^15*T2^12 + 329*T1^16*T2^12 - 305*T1^5*T2^13 + 378*T1^6*T2^13 + 
      703*T1^7*T2^13 - 1000*T1^8*T2^13 + 809*T1^9*T2^13 + 12*T1^10*T2^13 + 
      12*T1^11*T2^13 + 809*T1^12*T2^13 - 1000*T1^13*T2^13 + 703*T1^14*T2^13 + 
      378*T1^15*T2^13 - 305*T1^16*T2^13 + 220*T1^6*T2^14 - 485*T1^7*T2^14 - 
      29*T1^8*T2^14 + 703*T1^9*T2^14 - 1232*T1^10*T2^14 + 1187*T1^11*T2^14 - 
      1232*T1^12*T2^14 + 703*T1^13*T2^14 - 29*T1^14*T2^14 - 485*T1^15*T2^14 + 
      220*T1^16*T2^14 - 111*T1^7*T2^15 + 382*T1^8*T2^15 - 485*T1^9*T2^15 + 
      378*T1^10*T2^15 - 107*T1^11*T2^15 - 107*T1^12*T2^15 + 378*T1^13*T2^15 - 
      485*T1^14*T2^15 + 382*T1^15*T2^15 - 111*T1^16*T2^15 + 25*T1^8*T2^16 - 
      111*T1^9*T2^16 + 220*T1^10*T2^16 - 305*T1^11*T2^16 + 329*T1^12*T2^16 - 
      305*T1^13*T2^16 + 220*T1^14*T2^16 - 111*T1^15*T2^16 + 25*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 924] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)*(2 - 3*T + 2*T^2))/T^3), 
   -((144 - 704*T1 + 1492*T1^2 - 1904*T1^3 + 1492*T1^4 - 704*T1^5 + 
      144*T1^6 - 704*T2 + 2740*T1*T2 - 3862*T1^2*T2 + 2018*T1^3*T2 + 
      2018*T1^4*T2 - 3862*T1^5*T2 + 2740*T1^6*T2 - 704*T1^7*T2 + 1492*T2^2 - 
      3862*T1*T2^2 + 184*T1^2*T2^2 + 8663*T1^3*T2^2 - 14628*T1^4*T2^2 + 
      8663*T1^5*T2^2 + 184*T1^6*T2^2 - 3862*T1^7*T2^2 + 1492*T1^8*T2^2 - 
      1904*T2^3 + 2018*T1*T2^3 + 8663*T1^2*T2^3 - 17178*T1^3*T2^3 + 
      10672*T1^4*T2^3 + 10672*T1^5*T2^3 - 17178*T1^6*T2^3 + 8663*T1^7*T2^3 + 
      2018*T1^8*T2^3 - 1904*T1^9*T2^3 + 1492*T2^4 + 2018*T1*T2^4 - 
      14628*T1^2*T2^4 + 10672*T1^3*T2^4 + 10629*T1^4*T2^4 - 29075*T1^5*T2^4 + 
      10629*T1^6*T2^4 + 10672*T1^7*T2^4 - 14628*T1^8*T2^4 + 2018*T1^9*T2^4 + 
      1492*T1^10*T2^4 - 704*T2^5 - 3862*T1*T2^5 + 8663*T1^2*T2^5 + 
      10672*T1^3*T2^5 - 29075*T1^4*T2^5 + 20600*T1^5*T2^5 + 20600*T1^6*T2^5 - 
      29075*T1^7*T2^5 + 10672*T1^8*T2^5 + 8663*T1^9*T2^5 - 3862*T1^10*T2^5 - 
      704*T1^11*T2^5 + 144*T2^6 + 2740*T1*T2^6 + 184*T1^2*T2^6 - 
      17178*T1^3*T2^6 + 10629*T1^4*T2^6 + 20600*T1^5*T2^6 - 48420*T1^6*T2^6 + 
      20600*T1^7*T2^6 + 10629*T1^8*T2^6 - 17178*T1^9*T2^6 + 184*T1^10*T2^6 + 
      2740*T1^11*T2^6 + 144*T1^12*T2^6 - 704*T1*T2^7 - 3862*T1^2*T2^7 + 
      8663*T1^3*T2^7 + 10672*T1^4*T2^7 - 29075*T1^5*T2^7 + 20600*T1^6*T2^7 + 
      20600*T1^7*T2^7 - 29075*T1^8*T2^7 + 10672*T1^9*T2^7 + 8663*T1^10*T2^7 - 
      3862*T1^11*T2^7 - 704*T1^12*T2^7 + 1492*T1^2*T2^8 + 2018*T1^3*T2^8 - 
      14628*T1^4*T2^8 + 10672*T1^5*T2^8 + 10629*T1^6*T2^8 - 29075*T1^7*T2^8 + 
      10629*T1^8*T2^8 + 10672*T1^9*T2^8 - 14628*T1^10*T2^8 + 
      2018*T1^11*T2^8 + 1492*T1^12*T2^8 - 1904*T1^3*T2^9 + 2018*T1^4*T2^9 + 
      8663*T1^5*T2^9 - 17178*T1^6*T2^9 + 10672*T1^7*T2^9 + 10672*T1^8*T2^9 - 
      17178*T1^9*T2^9 + 8663*T1^10*T2^9 + 2018*T1^11*T2^9 - 1904*T1^12*T2^9 + 
      1492*T1^4*T2^10 - 3862*T1^5*T2^10 + 184*T1^6*T2^10 + 8663*T1^7*T2^10 - 
      14628*T1^8*T2^10 + 8663*T1^9*T2^10 + 184*T1^10*T2^10 - 
      3862*T1^11*T2^10 + 1492*T1^12*T2^10 - 704*T1^5*T2^11 + 
      2740*T1^6*T2^11 - 3862*T1^7*T2^11 + 2018*T1^8*T2^11 + 2018*T1^9*T2^11 - 
      3862*T1^10*T2^11 + 2740*T1^11*T2^11 - 704*T1^12*T2^11 + 
      144*T1^6*T2^12 - 704*T1^7*T2^12 + 1492*T1^8*T2^12 - 1904*T1^9*T2^12 + 
      1492*T1^10*T2^12 - 704*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, -((1 - 4*T1 + 10*T1^2 - 17*T1^3 + 21*T1^4 - 17*T1^5 + 10*T1^6 - 
      4*T1^7 + T1^8 - 4*T2 + 12*T1*T2 - 23*T1^2*T2 + 25*T1^3*T2 - 
      14*T1^4*T2 - 14*T1^5*T2 + 25*T1^6*T2 - 23*T1^7*T2 + 12*T1^8*T2 - 
      4*T1^9*T2 + 10*T2^2 - 23*T1*T2^2 + 47*T1^2*T2^2 - 78*T1^3*T2^2 + 
      137*T1^4*T2^2 - 145*T1^5*T2^2 + 137*T1^6*T2^2 - 78*T1^7*T2^2 + 
      47*T1^8*T2^2 - 23*T1^9*T2^2 + 10*T1^10*T2^2 - 17*T2^3 + 25*T1*T2^3 - 
      78*T1^2*T2^3 + 176*T1^3*T2^3 - 301*T1^4*T2^3 + 113*T1^5*T2^3 + 
      113*T1^6*T2^3 - 301*T1^7*T2^3 + 176*T1^8*T2^3 - 78*T1^9*T2^3 + 
      25*T1^10*T2^3 - 17*T1^11*T2^3 + 21*T2^4 - 14*T1*T2^4 + 137*T1^2*T2^4 - 
      301*T1^3*T2^4 + 390*T1^4*T2^4 + 144*T1^5*T2^4 - 236*T1^6*T2^4 + 
      144*T1^7*T2^4 + 390*T1^8*T2^4 - 301*T1^9*T2^4 + 137*T1^10*T2^4 - 
      14*T1^11*T2^4 + 21*T1^12*T2^4 - 17*T2^5 - 14*T1*T2^5 - 145*T1^2*T2^5 + 
      113*T1^3*T2^5 + 144*T1^4*T2^5 - 924*T1^5*T2^5 + 211*T1^6*T2^5 + 
      211*T1^7*T2^5 - 924*T1^8*T2^5 + 144*T1^9*T2^5 + 113*T1^10*T2^5 - 
      145*T1^11*T2^5 - 14*T1^12*T2^5 - 17*T1^13*T2^5 + 10*T2^6 + 25*T1*T2^6 + 
      137*T1^2*T2^6 + 113*T1^3*T2^6 - 236*T1^4*T2^6 + 211*T1^5*T2^6 + 
      1731*T1^6*T2^6 - 1605*T1^7*T2^6 + 1731*T1^8*T2^6 + 211*T1^9*T2^6 - 
      236*T1^10*T2^6 + 113*T1^11*T2^6 + 137*T1^12*T2^6 + 25*T1^13*T2^6 + 
      10*T1^14*T2^6 - 4*T2^7 - 23*T1*T2^7 - 78*T1^2*T2^7 - 301*T1^3*T2^7 + 
      144*T1^4*T2^7 + 211*T1^5*T2^7 - 1605*T1^6*T2^7 - 76*T1^7*T2^7 - 
      76*T1^8*T2^7 - 1605*T1^9*T2^7 + 211*T1^10*T2^7 + 144*T1^11*T2^7 - 
      301*T1^12*T2^7 - 78*T1^13*T2^7 - 23*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 
      12*T1*T2^8 + 47*T1^2*T2^8 + 176*T1^3*T2^8 + 390*T1^4*T2^8 - 
      924*T1^5*T2^8 + 1731*T1^6*T2^8 - 76*T1^7*T2^8 + 1212*T1^8*T2^8 - 
      76*T1^9*T2^8 + 1731*T1^10*T2^8 - 924*T1^11*T2^8 + 390*T1^12*T2^8 + 
      176*T1^13*T2^8 + 47*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 
      4*T1*T2^9 - 23*T1^2*T2^9 - 78*T1^3*T2^9 - 301*T1^4*T2^9 + 
      144*T1^5*T2^9 + 211*T1^6*T2^9 - 1605*T1^7*T2^9 - 76*T1^8*T2^9 - 
      76*T1^9*T2^9 - 1605*T1^10*T2^9 + 211*T1^11*T2^9 + 144*T1^12*T2^9 - 
      301*T1^13*T2^9 - 78*T1^14*T2^9 - 23*T1^15*T2^9 - 4*T1^16*T2^9 + 
      10*T1^2*T2^10 + 25*T1^3*T2^10 + 137*T1^4*T2^10 + 113*T1^5*T2^10 - 
      236*T1^6*T2^10 + 211*T1^7*T2^10 + 1731*T1^8*T2^10 - 1605*T1^9*T2^10 + 
      1731*T1^10*T2^10 + 211*T1^11*T2^10 - 236*T1^12*T2^10 + 
      113*T1^13*T2^10 + 137*T1^14*T2^10 + 25*T1^15*T2^10 + 10*T1^16*T2^10 - 
      17*T1^3*T2^11 - 14*T1^4*T2^11 - 145*T1^5*T2^11 + 113*T1^6*T2^11 + 
      144*T1^7*T2^11 - 924*T1^8*T2^11 + 211*T1^9*T2^11 + 211*T1^10*T2^11 - 
      924*T1^11*T2^11 + 144*T1^12*T2^11 + 113*T1^13*T2^11 - 145*T1^14*T2^11 - 
      14*T1^15*T2^11 - 17*T1^16*T2^11 + 21*T1^4*T2^12 - 14*T1^5*T2^12 + 
      137*T1^6*T2^12 - 301*T1^7*T2^12 + 390*T1^8*T2^12 + 144*T1^9*T2^12 - 
      236*T1^10*T2^12 + 144*T1^11*T2^12 + 390*T1^12*T2^12 - 301*T1^13*T2^12 + 
      137*T1^14*T2^12 - 14*T1^15*T2^12 + 21*T1^16*T2^12 - 17*T1^5*T2^13 + 
      25*T1^6*T2^13 - 78*T1^7*T2^13 + 176*T1^8*T2^13 - 301*T1^9*T2^13 + 
      113*T1^10*T2^13 + 113*T1^11*T2^13 - 301*T1^12*T2^13 + 176*T1^13*T2^13 - 
      78*T1^14*T2^13 + 25*T1^15*T2^13 - 17*T1^16*T2^13 + 10*T1^6*T2^14 - 
      23*T1^7*T2^14 + 47*T1^8*T2^14 - 78*T1^9*T2^14 + 137*T1^10*T2^14 - 
      145*T1^11*T2^14 + 137*T1^12*T2^14 - 78*T1^13*T2^14 + 47*T1^14*T2^14 - 
      23*T1^15*T2^14 + 10*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 
      23*T1^9*T2^15 + 25*T1^10*T2^15 - 14*T1^11*T2^15 - 14*T1^12*T2^15 + 
      25*T1^13*T2^15 - 23*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + 
      T1^8*T2^16 - 4*T1^9*T2^16 + 10*T1^10*T2^16 - 17*T1^11*T2^16 + 
      21*T1^12*T2^16 - 17*T1^13*T2^16 + 10*T1^14*T2^16 - 4*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, 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), -((9 - 36*T1 + 72*T1^2 - 108*T1^3 + 121*T1^4 - 108*T1^5 + 
      72*T1^6 - 36*T1^7 + 9*T1^8 - 36*T2 + 108*T1*T2 - 144*T1^2*T2 + 
      144*T1^3*T2 - 52*T1^4*T2 - 52*T1^5*T2 + 144*T1^6*T2 - 144*T1^7*T2 + 
      108*T1^8*T2 - 36*T1^9*T2 + 72*T2^2 - 144*T1*T2^2 + 72*T1^2*T2^2 + 
      4*T1^3*T2^2 - 212*T1^4*T2^2 + 256*T1^5*T2^2 - 212*T1^6*T2^2 + 
      4*T1^7*T2^2 + 72*T1^8*T2^2 - 144*T1^9*T2^2 + 72*T1^10*T2^2 - 108*T2^3 + 
      144*T1*T2^3 + 4*T1^2*T2^3 + 12*T1^3*T2^3 + 233*T1^4*T2^3 - 
      67*T1^5*T2^3 - 67*T1^6*T2^3 + 233*T1^7*T2^3 + 12*T1^8*T2^3 + 
      4*T1^9*T2^3 + 144*T1^10*T2^3 - 108*T1^11*T2^3 + 121*T2^4 - 52*T1*T2^4 - 
      212*T1^2*T2^4 + 233*T1^3*T2^4 - 792*T1^4*T2^4 + 517*T1^5*T2^4 - 
      514*T1^6*T2^4 + 517*T1^7*T2^4 - 792*T1^8*T2^4 + 233*T1^9*T2^4 - 
      212*T1^10*T2^4 - 52*T1^11*T2^4 + 121*T1^12*T2^4 - 108*T2^5 - 
      52*T1*T2^5 + 256*T1^2*T2^5 - 67*T1^3*T2^5 + 517*T1^4*T2^5 + 
      256*T1^5*T2^5 - 98*T1^6*T2^5 - 98*T1^7*T2^5 + 256*T1^8*T2^5 + 
      517*T1^9*T2^5 - 67*T1^10*T2^5 + 256*T1^11*T2^5 - 52*T1^12*T2^5 - 
      108*T1^13*T2^5 + 72*T2^6 + 144*T1*T2^6 - 212*T1^2*T2^6 - 67*T1^3*T2^6 - 
      514*T1^4*T2^6 - 98*T1^5*T2^6 - 830*T1^6*T2^6 + 1138*T1^7*T2^6 - 
      830*T1^8*T2^6 - 98*T1^9*T2^6 - 514*T1^10*T2^6 - 67*T1^11*T2^6 - 
      212*T1^12*T2^6 + 144*T1^13*T2^6 + 72*T1^14*T2^6 - 36*T2^7 - 
      144*T1*T2^7 + 4*T1^2*T2^7 + 233*T1^3*T2^7 + 517*T1^4*T2^7 - 
      98*T1^5*T2^7 + 1138*T1^6*T2^7 - 524*T1^7*T2^7 - 524*T1^8*T2^7 + 
      1138*T1^9*T2^7 - 98*T1^10*T2^7 + 517*T1^11*T2^7 + 233*T1^12*T2^7 + 
      4*T1^13*T2^7 - 144*T1^14*T2^7 - 36*T1^15*T2^7 + 9*T2^8 + 108*T1*T2^8 + 
      72*T1^2*T2^8 + 12*T1^3*T2^8 - 792*T1^4*T2^8 + 256*T1^5*T2^8 - 
      830*T1^6*T2^8 - 524*T1^7*T2^8 + 1092*T1^8*T2^8 - 524*T1^9*T2^8 - 
      830*T1^10*T2^8 + 256*T1^11*T2^8 - 792*T1^12*T2^8 + 12*T1^13*T2^8 + 
      72*T1^14*T2^8 + 108*T1^15*T2^8 + 9*T1^16*T2^8 - 36*T1*T2^9 - 
      144*T1^2*T2^9 + 4*T1^3*T2^9 + 233*T1^4*T2^9 + 517*T1^5*T2^9 - 
      98*T1^6*T2^9 + 1138*T1^7*T2^9 - 524*T1^8*T2^9 - 524*T1^9*T2^9 + 
      1138*T1^10*T2^9 - 98*T1^11*T2^9 + 517*T1^12*T2^9 + 233*T1^13*T2^9 + 
      4*T1^14*T2^9 - 144*T1^15*T2^9 - 36*T1^16*T2^9 + 72*T1^2*T2^10 + 
      144*T1^3*T2^10 - 212*T1^4*T2^10 - 67*T1^5*T2^10 - 514*T1^6*T2^10 - 
      98*T1^7*T2^10 - 830*T1^8*T2^10 + 1138*T1^9*T2^10 - 830*T1^10*T2^10 - 
      98*T1^11*T2^10 - 514*T1^12*T2^10 - 67*T1^13*T2^10 - 212*T1^14*T2^10 + 
      144*T1^15*T2^10 + 72*T1^16*T2^10 - 108*T1^3*T2^11 - 52*T1^4*T2^11 + 
      256*T1^5*T2^11 - 67*T1^6*T2^11 + 517*T1^7*T2^11 + 256*T1^8*T2^11 - 
      98*T1^9*T2^11 - 98*T1^10*T2^11 + 256*T1^11*T2^11 + 517*T1^12*T2^11 - 
      67*T1^13*T2^11 + 256*T1^14*T2^11 - 52*T1^15*T2^11 - 108*T1^16*T2^11 + 
      121*T1^4*T2^12 - 52*T1^5*T2^12 - 212*T1^6*T2^12 + 233*T1^7*T2^12 - 
      792*T1^8*T2^12 + 517*T1^9*T2^12 - 514*T1^10*T2^12 + 517*T1^11*T2^12 - 
      792*T1^12*T2^12 + 233*T1^13*T2^12 - 212*T1^14*T2^12 - 52*T1^15*T2^12 + 
      121*T1^16*T2^12 - 108*T1^5*T2^13 + 144*T1^6*T2^13 + 4*T1^7*T2^13 + 
      12*T1^8*T2^13 + 233*T1^9*T2^13 - 67*T1^10*T2^13 - 67*T1^11*T2^13 + 
      233*T1^12*T2^13 + 12*T1^13*T2^13 + 4*T1^14*T2^13 + 144*T1^15*T2^13 - 
      108*T1^16*T2^13 + 72*T1^6*T2^14 - 144*T1^7*T2^14 + 72*T1^8*T2^14 + 
      4*T1^9*T2^14 - 212*T1^10*T2^14 + 256*T1^11*T2^14 - 212*T1^12*T2^14 + 
      4*T1^13*T2^14 + 72*T1^14*T2^14 - 144*T1^15*T2^14 + 72*T1^16*T2^14 - 
      36*T1^7*T2^15 + 108*T1^8*T2^15 - 144*T1^9*T2^15 + 144*T1^10*T2^15 - 
      52*T1^11*T2^15 - 52*T1^12*T2^15 + 144*T1^13*T2^15 - 144*T1^14*T2^15 + 
      108*T1^15*T2^15 - 36*T1^16*T2^15 + 9*T1^8*T2^16 - 36*T1^9*T2^16 + 
      72*T1^10*T2^16 - 108*T1^11*T2^16 + 121*T1^12*T2^16 - 108*T1^13*T2^16 + 
      72*T1^14*T2^16 - 36*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 927] -> 
  {-(((1 - T + T^2)*(4 - 14*T + 19*T^2 - 14*T^3 + 4*T^4))/T^3), 
   -((16 - 68*T1 + 140*T1^2 - 184*T1^3 + 140*T1^4 - 68*T1^5 + 16*T1^6 - 
      68*T2 + 222*T1*T2 - 308*T1^2*T2 + 188*T1^3*T2 + 188*T1^4*T2 - 
      308*T1^5*T2 + 222*T1^6*T2 - 68*T1^7*T2 + 140*T2^2 - 308*T1*T2^2 + 
      187*T1^2*T2^2 + 110*T1^3*T2^2 - 555*T1^4*T2^2 + 110*T1^5*T2^2 + 
      187*T1^6*T2^2 - 308*T1^7*T2^2 + 140*T1^8*T2^2 - 184*T2^3 + 
      188*T1*T2^3 + 110*T1^2*T2^3 - 22*T1^3*T2^3 + 359*T1^4*T2^3 + 
      359*T1^5*T2^3 - 22*T1^6*T2^3 + 110*T1^7*T2^3 + 188*T1^8*T2^3 - 
      184*T1^9*T2^3 + 140*T2^4 + 188*T1*T2^4 - 555*T1^2*T2^4 + 
      359*T1^3*T2^4 - 1870*T1^4*T2^4 + 1480*T1^5*T2^4 - 1870*T1^6*T2^4 + 
      359*T1^7*T2^4 - 555*T1^8*T2^4 + 188*T1^9*T2^4 + 140*T1^10*T2^4 - 
      68*T2^5 - 308*T1*T2^5 + 110*T1^2*T2^5 + 359*T1^3*T2^5 + 
      1480*T1^4*T2^5 + 32*T1^5*T2^5 + 32*T1^6*T2^5 + 1480*T1^7*T2^5 + 
      359*T1^8*T2^5 + 110*T1^9*T2^5 - 308*T1^10*T2^5 - 68*T1^11*T2^5 + 
      16*T2^6 + 222*T1*T2^6 + 187*T1^2*T2^6 - 22*T1^3*T2^6 - 1870*T1^4*T2^6 + 
      32*T1^5*T2^6 - 888*T1^6*T2^6 + 32*T1^7*T2^6 - 1870*T1^8*T2^6 - 
      22*T1^9*T2^6 + 187*T1^10*T2^6 + 222*T1^11*T2^6 + 16*T1^12*T2^6 - 
      68*T1*T2^7 - 308*T1^2*T2^7 + 110*T1^3*T2^7 + 359*T1^4*T2^7 + 
      1480*T1^5*T2^7 + 32*T1^6*T2^7 + 32*T1^7*T2^7 + 1480*T1^8*T2^7 + 
      359*T1^9*T2^7 + 110*T1^10*T2^7 - 308*T1^11*T2^7 - 68*T1^12*T2^7 + 
      140*T1^2*T2^8 + 188*T1^3*T2^8 - 555*T1^4*T2^8 + 359*T1^5*T2^8 - 
      1870*T1^6*T2^8 + 1480*T1^7*T2^8 - 1870*T1^8*T2^8 + 359*T1^9*T2^8 - 
      555*T1^10*T2^8 + 188*T1^11*T2^8 + 140*T1^12*T2^8 - 184*T1^3*T2^9 + 
      188*T1^4*T2^9 + 110*T1^5*T2^9 - 22*T1^6*T2^9 + 359*T1^7*T2^9 + 
      359*T1^8*T2^9 - 22*T1^9*T2^9 + 110*T1^10*T2^9 + 188*T1^11*T2^9 - 
      184*T1^12*T2^9 + 140*T1^4*T2^10 - 308*T1^5*T2^10 + 187*T1^6*T2^10 + 
      110*T1^7*T2^10 - 555*T1^8*T2^10 + 110*T1^9*T2^10 + 187*T1^10*T2^10 - 
      308*T1^11*T2^10 + 140*T1^12*T2^10 - 68*T1^5*T2^11 + 222*T1^6*T2^11 - 
      308*T1^7*T2^11 + 188*T1^8*T2^11 + 188*T1^9*T2^11 - 308*T1^10*T2^11 + 
      222*T1^11*T2^11 - 68*T1^12*T2^11 + 16*T1^6*T2^12 - 68*T1^7*T2^12 + 
      140*T1^8*T2^12 - 184*T1^9*T2^12 + 140*T1^10*T2^12 - 68*T1^11*T2^12 + 
      16*T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   -((3 - 6*T1 - 6*T1^2 + 25*T1^3 - 6*T1^4 - 6*T1^5 + 3*T1^6 - 6*T2 - 
      40*T1*T2 + 180*T1^2*T2 - 175*T1^3*T2 - 175*T1^4*T2 + 180*T1^5*T2 - 
      40*T1^6*T2 - 6*T1^7*T2 - 6*T2^2 + 180*T1*T2^2 - 252*T1^2*T2^2 - 
      746*T1^3*T2^2 + 2104*T1^4*T2^2 - 746*T1^5*T2^2 - 252*T1^6*T2^2 + 
      180*T1^7*T2^2 - 6*T1^8*T2^2 + 25*T2^3 - 175*T1*T2^3 - 746*T1^2*T2^3 + 
      3578*T1^3*T2^3 - 3464*T1^4*T2^3 - 3464*T1^5*T2^3 + 3578*T1^6*T2^3 - 
      746*T1^7*T2^3 - 175*T1^8*T2^3 + 25*T1^9*T2^3 - 6*T2^4 - 175*T1*T2^4 + 
      2104*T1^2*T2^4 - 3464*T1^3*T2^4 - 4414*T1^4*T2^4 + 15548*T1^5*T2^4 - 
      4414*T1^6*T2^4 - 3464*T1^7*T2^4 + 2104*T1^8*T2^4 - 175*T1^9*T2^4 - 
      6*T1^10*T2^4 - 6*T2^5 + 180*T1*T2^5 - 746*T1^2*T2^5 - 3464*T1^3*T2^5 + 
      15548*T1^4*T2^5 - 14500*T1^5*T2^5 - 14500*T1^6*T2^5 + 15548*T1^7*T2^5 - 
      3464*T1^8*T2^5 - 746*T1^9*T2^5 + 180*T1^10*T2^5 - 6*T1^11*T2^5 + 
      3*T2^6 - 40*T1*T2^6 - 252*T1^2*T2^6 + 3578*T1^3*T2^6 - 4414*T1^4*T2^6 - 
      14500*T1^5*T2^6 + 38292*T1^6*T2^6 - 14500*T1^7*T2^6 - 4414*T1^8*T2^6 + 
      3578*T1^9*T2^6 - 252*T1^10*T2^6 - 40*T1^11*T2^6 + 3*T1^12*T2^6 - 
      6*T1*T2^7 + 180*T1^2*T2^7 - 746*T1^3*T2^7 - 3464*T1^4*T2^7 + 
      15548*T1^5*T2^7 - 14500*T1^6*T2^7 - 14500*T1^7*T2^7 + 15548*T1^8*T2^7 - 
      3464*T1^9*T2^7 - 746*T1^10*T2^7 + 180*T1^11*T2^7 - 6*T1^12*T2^7 - 
      6*T1^2*T2^8 - 175*T1^3*T2^8 + 2104*T1^4*T2^8 - 3464*T1^5*T2^8 - 
      4414*T1^6*T2^8 + 15548*T1^7*T2^8 - 4414*T1^8*T2^8 - 3464*T1^9*T2^8 + 
      2104*T1^10*T2^8 - 175*T1^11*T2^8 - 6*T1^12*T2^8 + 25*T1^3*T2^9 - 
      175*T1^4*T2^9 - 746*T1^5*T2^9 + 3578*T1^6*T2^9 - 3464*T1^7*T2^9 - 
      3464*T1^8*T2^9 + 3578*T1^9*T2^9 - 746*T1^10*T2^9 - 175*T1^11*T2^9 + 
      25*T1^12*T2^9 - 6*T1^4*T2^10 + 180*T1^5*T2^10 - 252*T1^6*T2^10 - 
      746*T1^7*T2^10 + 2104*T1^8*T2^10 - 746*T1^9*T2^10 - 252*T1^10*T2^10 + 
      180*T1^11*T2^10 - 6*T1^12*T2^10 - 6*T1^5*T2^11 - 40*T1^6*T2^11 + 
      180*T1^7*T2^11 - 175*T1^8*T2^11 - 175*T1^9*T2^11 + 180*T1^10*T2^11 - 
      40*T1^11*T2^11 - 6*T1^12*T2^11 + 3*T1^6*T2^12 - 6*T1^7*T2^12 - 
      6*T1^8*T2^12 + 25*T1^9*T2^12 - 6*T1^10*T2^12 - 6*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^6*T2^6))}, 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), -((7 - 36*T1 + 91*T1^2 - 149*T1^3 + 171*T1^4 - 149*T1^5 + 
      91*T1^6 - 36*T1^7 + 7*T1^8 - 36*T2 + 148*T1*T2 - 281*T1^2*T2 + 
      298*T1^3*T2 - 113*T1^4*T2 - 113*T1^5*T2 + 298*T1^6*T2 - 281*T1^7*T2 + 
      148*T1^8*T2 - 36*T1^9*T2 + 91*T2^2 - 281*T1*T2^2 + 315*T1^2*T2^2 + 
      42*T1^3*T2^2 - 649*T1^4*T2^2 + 809*T1^5*T2^2 - 649*T1^6*T2^2 + 
      42*T1^7*T2^2 + 315*T1^8*T2^2 - 281*T1^9*T2^2 + 91*T1^10*T2^2 - 
      149*T2^3 + 298*T1*T2^3 + 42*T1^2*T2^3 - 850*T1^3*T2^3 + 
      1344*T1^4*T2^3 - 455*T1^5*T2^3 - 455*T1^6*T2^3 + 1344*T1^7*T2^3 - 
      850*T1^8*T2^3 + 42*T1^9*T2^3 + 298*T1^10*T2^3 - 149*T1^11*T2^3 + 
      171*T2^4 - 113*T1*T2^4 - 649*T1^2*T2^4 + 1344*T1^3*T2^4 - 
      707*T1^4*T2^4 - 1511*T1^5*T2^4 + 1987*T1^6*T2^4 - 1511*T1^7*T2^4 - 
      707*T1^8*T2^4 + 1344*T1^9*T2^4 - 649*T1^10*T2^4 - 113*T1^11*T2^4 + 
      171*T1^12*T2^4 - 149*T2^5 - 113*T1*T2^5 + 809*T1^2*T2^5 - 
      455*T1^3*T2^5 - 1511*T1^4*T2^5 + 3368*T1^5*T2^5 - 1234*T1^6*T2^5 - 
      1234*T1^7*T2^5 + 3368*T1^8*T2^5 - 1511*T1^9*T2^5 - 455*T1^10*T2^5 + 
      809*T1^11*T2^5 - 113*T1^12*T2^5 - 149*T1^13*T2^5 + 91*T2^6 + 
      298*T1*T2^6 - 649*T1^2*T2^6 - 455*T1^3*T2^6 + 1987*T1^4*T2^6 - 
      1234*T1^5*T2^6 - 3272*T1^6*T2^6 + 4766*T1^7*T2^6 - 3272*T1^8*T2^6 - 
      1234*T1^9*T2^6 + 1987*T1^10*T2^6 - 455*T1^11*T2^6 - 649*T1^12*T2^6 + 
      298*T1^13*T2^6 + 91*T1^14*T2^6 - 36*T2^7 - 281*T1*T2^7 + 42*T1^2*T2^7 + 
      1344*T1^3*T2^7 - 1511*T1^4*T2^7 - 1234*T1^5*T2^7 + 4766*T1^6*T2^7 - 
      2224*T1^7*T2^7 - 2224*T1^8*T2^7 + 4766*T1^9*T2^7 - 1234*T1^10*T2^7 - 
      1511*T1^11*T2^7 + 1344*T1^12*T2^7 + 42*T1^13*T2^7 - 281*T1^14*T2^7 - 
      36*T1^15*T2^7 + 7*T2^8 + 148*T1*T2^8 + 315*T1^2*T2^8 - 850*T1^3*T2^8 - 
      707*T1^4*T2^8 + 3368*T1^5*T2^8 - 3272*T1^6*T2^8 - 2224*T1^7*T2^8 + 
      4728*T1^8*T2^8 - 2224*T1^9*T2^8 - 3272*T1^10*T2^8 + 3368*T1^11*T2^8 - 
      707*T1^12*T2^8 - 850*T1^13*T2^8 + 315*T1^14*T2^8 + 148*T1^15*T2^8 + 
      7*T1^16*T2^8 - 36*T1*T2^9 - 281*T1^2*T2^9 + 42*T1^3*T2^9 + 
      1344*T1^4*T2^9 - 1511*T1^5*T2^9 - 1234*T1^6*T2^9 + 4766*T1^7*T2^9 - 
      2224*T1^8*T2^9 - 2224*T1^9*T2^9 + 4766*T1^10*T2^9 - 1234*T1^11*T2^9 - 
      1511*T1^12*T2^9 + 1344*T1^13*T2^9 + 42*T1^14*T2^9 - 281*T1^15*T2^9 - 
      36*T1^16*T2^9 + 91*T1^2*T2^10 + 298*T1^3*T2^10 - 649*T1^4*T2^10 - 
      455*T1^5*T2^10 + 1987*T1^6*T2^10 - 1234*T1^7*T2^10 - 3272*T1^8*T2^10 + 
      4766*T1^9*T2^10 - 3272*T1^10*T2^10 - 1234*T1^11*T2^10 + 
      1987*T1^12*T2^10 - 455*T1^13*T2^10 - 649*T1^14*T2^10 + 
      298*T1^15*T2^10 + 91*T1^16*T2^10 - 149*T1^3*T2^11 - 113*T1^4*T2^11 + 
      809*T1^5*T2^11 - 455*T1^6*T2^11 - 1511*T1^7*T2^11 + 3368*T1^8*T2^11 - 
      1234*T1^9*T2^11 - 1234*T1^10*T2^11 + 3368*T1^11*T2^11 - 
      1511*T1^12*T2^11 - 455*T1^13*T2^11 + 809*T1^14*T2^11 - 
      113*T1^15*T2^11 - 149*T1^16*T2^11 + 171*T1^4*T2^12 - 113*T1^5*T2^12 - 
      649*T1^6*T2^12 + 1344*T1^7*T2^12 - 707*T1^8*T2^12 - 1511*T1^9*T2^12 + 
      1987*T1^10*T2^12 - 1511*T1^11*T2^12 - 707*T1^12*T2^12 + 
      1344*T1^13*T2^12 - 649*T1^14*T2^12 - 113*T1^15*T2^12 + 
      171*T1^16*T2^12 - 149*T1^5*T2^13 + 298*T1^6*T2^13 + 42*T1^7*T2^13 - 
      850*T1^8*T2^13 + 1344*T1^9*T2^13 - 455*T1^10*T2^13 - 455*T1^11*T2^13 + 
      1344*T1^12*T2^13 - 850*T1^13*T2^13 + 42*T1^14*T2^13 + 298*T1^15*T2^13 - 
      149*T1^16*T2^13 + 91*T1^6*T2^14 - 281*T1^7*T2^14 + 315*T1^8*T2^14 + 
      42*T1^9*T2^14 - 649*T1^10*T2^14 + 809*T1^11*T2^14 - 649*T1^12*T2^14 + 
      42*T1^13*T2^14 + 315*T1^14*T2^14 - 281*T1^15*T2^14 + 91*T1^16*T2^14 - 
      36*T1^7*T2^15 + 148*T1^8*T2^15 - 281*T1^9*T2^15 + 298*T1^10*T2^15 - 
      113*T1^11*T2^15 - 113*T1^12*T2^15 + 298*T1^13*T2^15 - 281*T1^14*T2^15 + 
      148*T1^15*T2^15 - 36*T1^16*T2^15 + 7*T1^8*T2^16 - 36*T1^9*T2^16 + 
      91*T1^10*T2^16 - 149*T1^11*T2^16 + 171*T1^12*T2^16 - 149*T1^13*T2^16 + 
      91*T1^14*T2^16 - 36*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^8*T2^8))}, 
 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), 
   -((25 - 111*T1 + 232*T1^2 - 341*T1^3 + 377*T1^4 - 341*T1^5 + 232*T1^6 - 
      111*T1^7 + 25*T1^8 - 111*T2 + 382*T1*T2 - 538*T1^2*T2 + 484*T1^3*T2 - 
      160*T1^4*T2 - 160*T1^5*T2 + 484*T1^6*T2 - 538*T1^7*T2 + 382*T1^8*T2 - 
      111*T1^9*T2 + 232*T2^2 - 538*T1*T2^2 + 195*T1^2*T2^2 + 416*T1^3*T2^2 - 
      1136*T1^4*T2^2 + 1193*T1^5*T2^2 - 1136*T1^6*T2^2 + 416*T1^7*T2^2 + 
      195*T1^8*T2^2 - 538*T1^9*T2^2 + 232*T1^10*T2^2 - 341*T2^3 + 
      484*T1*T2^3 + 416*T1^2*T2^3 - 854*T1^3*T2^3 + 1043*T1^4*T2^3 - 
      115*T1^5*T2^3 - 115*T1^6*T2^3 + 1043*T1^7*T2^3 - 854*T1^8*T2^3 + 
      416*T1^9*T2^3 + 484*T1^10*T2^3 - 341*T1^11*T2^3 + 377*T2^4 - 
      160*T1*T2^4 - 1136*T1^2*T2^4 + 1043*T1^3*T2^4 - 1114*T1^4*T2^4 + 
      154*T1^5*T2^4 - 896*T1^6*T2^4 + 154*T1^7*T2^4 - 1114*T1^8*T2^4 + 
      1043*T1^9*T2^4 - 1136*T1^10*T2^4 - 160*T1^11*T2^4 + 377*T1^12*T2^4 - 
      341*T2^5 - 160*T1*T2^5 + 1193*T1^2*T2^5 - 115*T1^3*T2^5 + 
      154*T1^4*T2^5 + 814*T1^5*T2^5 + 557*T1^6*T2^5 + 557*T1^7*T2^5 + 
      814*T1^8*T2^5 + 154*T1^9*T2^5 - 115*T1^10*T2^5 + 1193*T1^11*T2^5 - 
      160*T1^12*T2^5 - 341*T1^13*T2^5 + 232*T2^6 + 484*T1*T2^6 - 
      1136*T1^2*T2^6 - 115*T1^3*T2^6 - 896*T1^4*T2^6 + 557*T1^5*T2^6 - 
      2551*T1^6*T2^6 + 1045*T1^7*T2^6 - 2551*T1^8*T2^6 + 557*T1^9*T2^6 - 
      896*T1^10*T2^6 - 115*T1^11*T2^6 - 1136*T1^12*T2^6 + 484*T1^13*T2^6 + 
      232*T1^14*T2^6 - 111*T2^7 - 538*T1*T2^7 + 416*T1^2*T2^7 + 
      1043*T1^3*T2^7 + 154*T1^4*T2^7 + 557*T1^5*T2^7 + 1045*T1^6*T2^7 + 
      914*T1^7*T2^7 + 914*T1^8*T2^7 + 1045*T1^9*T2^7 + 557*T1^10*T2^7 + 
      154*T1^11*T2^7 + 1043*T1^12*T2^7 + 416*T1^13*T2^7 - 538*T1^14*T2^7 - 
      111*T1^15*T2^7 + 25*T2^8 + 382*T1*T2^8 + 195*T1^2*T2^8 - 
      854*T1^3*T2^8 - 1114*T1^4*T2^8 + 814*T1^5*T2^8 - 2551*T1^6*T2^8 + 
      914*T1^7*T2^8 - 3000*T1^8*T2^8 + 914*T1^9*T2^8 - 2551*T1^10*T2^8 + 
      814*T1^11*T2^8 - 1114*T1^12*T2^8 - 854*T1^13*T2^8 + 195*T1^14*T2^8 + 
      382*T1^15*T2^8 + 25*T1^16*T2^8 - 111*T1*T2^9 - 538*T1^2*T2^9 + 
      416*T1^3*T2^9 + 1043*T1^4*T2^9 + 154*T1^5*T2^9 + 557*T1^6*T2^9 + 
      1045*T1^7*T2^9 + 914*T1^8*T2^9 + 914*T1^9*T2^9 + 1045*T1^10*T2^9 + 
      557*T1^11*T2^9 + 154*T1^12*T2^9 + 1043*T1^13*T2^9 + 416*T1^14*T2^9 - 
      538*T1^15*T2^9 - 111*T1^16*T2^9 + 232*T1^2*T2^10 + 484*T1^3*T2^10 - 
      1136*T1^4*T2^10 - 115*T1^5*T2^10 - 896*T1^6*T2^10 + 557*T1^7*T2^10 - 
      2551*T1^8*T2^10 + 1045*T1^9*T2^10 - 2551*T1^10*T2^10 + 
      557*T1^11*T2^10 - 896*T1^12*T2^10 - 115*T1^13*T2^10 - 
      1136*T1^14*T2^10 + 484*T1^15*T2^10 + 232*T1^16*T2^10 - 341*T1^3*T2^11 - 
      160*T1^4*T2^11 + 1193*T1^5*T2^11 - 115*T1^6*T2^11 + 154*T1^7*T2^11 + 
      814*T1^8*T2^11 + 557*T1^9*T2^11 + 557*T1^10*T2^11 + 814*T1^11*T2^11 + 
      154*T1^12*T2^11 - 115*T1^13*T2^11 + 1193*T1^14*T2^11 - 
      160*T1^15*T2^11 - 341*T1^16*T2^11 + 377*T1^4*T2^12 - 160*T1^5*T2^12 - 
      1136*T1^6*T2^12 + 1043*T1^7*T2^12 - 1114*T1^8*T2^12 + 154*T1^9*T2^12 - 
      896*T1^10*T2^12 + 154*T1^11*T2^12 - 1114*T1^12*T2^12 + 
      1043*T1^13*T2^12 - 1136*T1^14*T2^12 - 160*T1^15*T2^12 + 
      377*T1^16*T2^12 - 341*T1^5*T2^13 + 484*T1^6*T2^13 + 416*T1^7*T2^13 - 
      854*T1^8*T2^13 + 1043*T1^9*T2^13 - 115*T1^10*T2^13 - 115*T1^11*T2^13 + 
      1043*T1^12*T2^13 - 854*T1^13*T2^13 + 416*T1^14*T2^13 + 
      484*T1^15*T2^13 - 341*T1^16*T2^13 + 232*T1^6*T2^14 - 538*T1^7*T2^14 + 
      195*T1^8*T2^14 + 416*T1^9*T2^14 - 1136*T1^10*T2^14 + 1193*T1^11*T2^14 - 
      1136*T1^12*T2^14 + 416*T1^13*T2^14 + 195*T1^14*T2^14 - 
      538*T1^15*T2^14 + 232*T1^16*T2^14 - 111*T1^7*T2^15 + 382*T1^8*T2^15 - 
      538*T1^9*T2^15 + 484*T1^10*T2^15 - 160*T1^11*T2^15 - 160*T1^12*T2^15 + 
      484*T1^13*T2^15 - 538*T1^14*T2^15 + 382*T1^15*T2^15 - 111*T1^16*T2^15 + 
      25*T1^8*T2^16 - 111*T1^9*T2^16 + 232*T1^10*T2^16 - 341*T1^11*T2^16 + 
      377*T1^12*T2^16 - 341*T1^13*T2^16 + 232*T1^14*T2^16 - 111*T1^15*T2^16 + 
      25*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 931] -> 
  {-(((1 - T + T^2)*(4 - 15*T + 21*T^2 - 15*T^3 + 4*T^4))/T^3), 
   -((144 - 672*T1 + 1396*T1^2 - 1776*T1^3 + 1396*T1^4 - 672*T1^5 + 
      144*T1^6 - 672*T2 + 2468*T1*T2 - 3392*T1^2*T2 + 1780*T1^3*T2 + 
      1780*T1^4*T2 - 3392*T1^5*T2 + 2468*T1^6*T2 - 672*T1^7*T2 + 1396*T2^2 - 
      3392*T1*T2^2 + 295*T1^2*T2^2 + 6864*T1^3*T2^2 - 11879*T1^4*T2^2 + 
      6864*T1^5*T2^2 + 295*T1^6*T2^2 - 3392*T1^7*T2^2 + 1396*T1^8*T2^2 - 
      1776*T2^3 + 1780*T1*T2^3 + 6864*T1^2*T2^3 - 13400*T1^3*T2^3 + 
      8593*T1^4*T2^3 + 8593*T1^5*T2^3 - 13400*T1^6*T2^3 + 6864*T1^7*T2^3 + 
      1780*T1^8*T2^3 - 1776*T1^9*T2^3 + 1396*T2^4 + 1780*T1*T2^4 - 
      11879*T1^2*T2^4 + 8593*T1^3*T2^4 + 7223*T1^4*T2^4 - 22027*T1^5*T2^4 + 
      7223*T1^6*T2^4 + 8593*T1^7*T2^4 - 11879*T1^8*T2^4 + 1780*T1^9*T2^4 + 
      1396*T1^10*T2^4 - 672*T2^5 - 3392*T1*T2^5 + 6864*T1^2*T2^5 + 
      8593*T1^3*T2^5 - 22027*T1^4*T2^5 + 16236*T1^5*T2^5 + 16236*T1^6*T2^5 - 
      22027*T1^7*T2^5 + 8593*T1^8*T2^5 + 6864*T1^9*T2^5 - 3392*T1^10*T2^5 - 
      672*T1^11*T2^5 + 144*T2^6 + 2468*T1*T2^6 + 295*T1^2*T2^6 - 
      13400*T1^3*T2^6 + 7223*T1^4*T2^6 + 16236*T1^5*T2^6 - 38532*T1^6*T2^6 + 
      16236*T1^7*T2^6 + 7223*T1^8*T2^6 - 13400*T1^9*T2^6 + 295*T1^10*T2^6 + 
      2468*T1^11*T2^6 + 144*T1^12*T2^6 - 672*T1*T2^7 - 3392*T1^2*T2^7 + 
      6864*T1^3*T2^7 + 8593*T1^4*T2^7 - 22027*T1^5*T2^7 + 16236*T1^6*T2^7 + 
      16236*T1^7*T2^7 - 22027*T1^8*T2^7 + 8593*T1^9*T2^7 + 6864*T1^10*T2^7 - 
      3392*T1^11*T2^7 - 672*T1^12*T2^7 + 1396*T1^2*T2^8 + 1780*T1^3*T2^8 - 
      11879*T1^4*T2^8 + 8593*T1^5*T2^8 + 7223*T1^6*T2^8 - 22027*T1^7*T2^8 + 
      7223*T1^8*T2^8 + 8593*T1^9*T2^8 - 11879*T1^10*T2^8 + 1780*T1^11*T2^8 + 
      1396*T1^12*T2^8 - 1776*T1^3*T2^9 + 1780*T1^4*T2^9 + 6864*T1^5*T2^9 - 
      13400*T1^6*T2^9 + 8593*T1^7*T2^9 + 8593*T1^8*T2^9 - 13400*T1^9*T2^9 + 
      6864*T1^10*T2^9 + 1780*T1^11*T2^9 - 1776*T1^12*T2^9 + 1396*T1^4*T2^10 - 
      3392*T1^5*T2^10 + 295*T1^6*T2^10 + 6864*T1^7*T2^10 - 11879*T1^8*T2^10 + 
      6864*T1^9*T2^10 + 295*T1^10*T2^10 - 3392*T1^11*T2^10 + 
      1396*T1^12*T2^10 - 672*T1^5*T2^11 + 2468*T1^6*T2^11 - 3392*T1^7*T2^11 + 
      1780*T1^8*T2^11 + 1780*T1^9*T2^11 - 3392*T1^10*T2^11 + 
      2468*T1^11*T2^11 - 672*T1^12*T2^11 + 144*T1^6*T2^12 - 672*T1^7*T2^12 + 
      1396*T1^8*T2^12 - 1776*T1^9*T2^12 + 1396*T1^10*T2^12 - 
      672*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), -((1 - 7*T1 + 24*T1^2 - 46*T1^3 + 55*T1^4 - 46*T1^5 + 24*T1^6 - 
      7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 119*T1^2*T2 + 154*T1^3*T2 - 
      63*T1^4*T2 - 63*T1^5*T2 + 154*T1^6*T2 - 119*T1^7*T2 + 42*T1^8*T2 - 
      7*T1^9*T2 + 24*T2^2 - 119*T1*T2^2 + 254*T1^2*T2^2 - 91*T1^3*T2^2 - 
      369*T1^4*T2^2 + 514*T1^5*T2^2 - 369*T1^6*T2^2 - 91*T1^7*T2^2 + 
      254*T1^8*T2^2 - 119*T1^9*T2^2 + 24*T1^10*T2^2 - 46*T2^3 + 154*T1*T2^3 - 
      91*T1^2*T2^3 - 752*T1^3*T2^3 + 1451*T1^4*T2^3 - 550*T1^5*T2^3 - 
      550*T1^6*T2^3 + 1451*T1^7*T2^3 - 752*T1^8*T2^3 - 91*T1^9*T2^3 + 
      154*T1^10*T2^3 - 46*T1^11*T2^3 + 55*T2^4 - 63*T1*T2^4 - 369*T1^2*T2^4 + 
      1451*T1^3*T2^4 - 473*T1^4*T2^4 - 3091*T1^5*T2^4 + 4143*T1^6*T2^4 - 
      3091*T1^7*T2^4 - 473*T1^8*T2^4 + 1451*T1^9*T2^4 - 369*T1^10*T2^4 - 
      63*T1^11*T2^4 + 55*T1^12*T2^4 - 46*T2^5 - 63*T1*T2^5 + 514*T1^2*T2^5 - 
      550*T1^3*T2^5 - 3091*T1^4*T2^5 + 6730*T1^5*T2^5 - 2753*T1^6*T2^5 - 
      2753*T1^7*T2^5 + 6730*T1^8*T2^5 - 3091*T1^9*T2^5 - 550*T1^10*T2^5 + 
      514*T1^11*T2^5 - 63*T1^12*T2^5 - 46*T1^13*T2^5 + 24*T2^6 + 
      154*T1*T2^6 - 369*T1^2*T2^6 - 550*T1^3*T2^6 + 4143*T1^4*T2^6 - 
      2753*T1^5*T2^6 - 7499*T1^6*T2^6 + 11783*T1^7*T2^6 - 7499*T1^8*T2^6 - 
      2753*T1^9*T2^6 + 4143*T1^10*T2^6 - 550*T1^11*T2^6 - 369*T1^12*T2^6 + 
      154*T1^13*T2^6 + 24*T1^14*T2^6 - 7*T2^7 - 119*T1*T2^7 - 91*T1^2*T2^7 + 
      1451*T1^3*T2^7 - 3091*T1^4*T2^7 - 2753*T1^5*T2^7 + 11783*T1^6*T2^7 - 
      6188*T1^7*T2^7 - 6188*T1^8*T2^7 + 11783*T1^9*T2^7 - 2753*T1^10*T2^7 - 
      3091*T1^11*T2^7 + 1451*T1^12*T2^7 - 91*T1^13*T2^7 - 119*T1^14*T2^7 - 
      7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 254*T1^2*T2^8 - 752*T1^3*T2^8 - 
      473*T1^4*T2^8 + 6730*T1^5*T2^8 - 7499*T1^6*T2^8 - 6188*T1^7*T2^8 + 
      13860*T1^8*T2^8 - 6188*T1^9*T2^8 - 7499*T1^10*T2^8 + 6730*T1^11*T2^8 - 
      473*T1^12*T2^8 - 752*T1^13*T2^8 + 254*T1^14*T2^8 + 42*T1^15*T2^8 + 
      T1^16*T2^8 - 7*T1*T2^9 - 119*T1^2*T2^9 - 91*T1^3*T2^9 + 
      1451*T1^4*T2^9 - 3091*T1^5*T2^9 - 2753*T1^6*T2^9 + 11783*T1^7*T2^9 - 
      6188*T1^8*T2^9 - 6188*T1^9*T2^9 + 11783*T1^10*T2^9 - 2753*T1^11*T2^9 - 
      3091*T1^12*T2^9 + 1451*T1^13*T2^9 - 91*T1^14*T2^9 - 119*T1^15*T2^9 - 
      7*T1^16*T2^9 + 24*T1^2*T2^10 + 154*T1^3*T2^10 - 369*T1^4*T2^10 - 
      550*T1^5*T2^10 + 4143*T1^6*T2^10 - 2753*T1^7*T2^10 - 7499*T1^8*T2^10 + 
      11783*T1^9*T2^10 - 7499*T1^10*T2^10 - 2753*T1^11*T2^10 + 
      4143*T1^12*T2^10 - 550*T1^13*T2^10 - 369*T1^14*T2^10 + 
      154*T1^15*T2^10 + 24*T1^16*T2^10 - 46*T1^3*T2^11 - 63*T1^4*T2^11 + 
      514*T1^5*T2^11 - 550*T1^6*T2^11 - 3091*T1^7*T2^11 + 6730*T1^8*T2^11 - 
      2753*T1^9*T2^11 - 2753*T1^10*T2^11 + 6730*T1^11*T2^11 - 
      3091*T1^12*T2^11 - 550*T1^13*T2^11 + 514*T1^14*T2^11 - 63*T1^15*T2^11 - 
      46*T1^16*T2^11 + 55*T1^4*T2^12 - 63*T1^5*T2^12 - 369*T1^6*T2^12 + 
      1451*T1^7*T2^12 - 473*T1^8*T2^12 - 3091*T1^9*T2^12 + 4143*T1^10*T2^12 - 
      3091*T1^11*T2^12 - 473*T1^12*T2^12 + 1451*T1^13*T2^12 - 
      369*T1^14*T2^12 - 63*T1^15*T2^12 + 55*T1^16*T2^12 - 46*T1^5*T2^13 + 
      154*T1^6*T2^13 - 91*T1^7*T2^13 - 752*T1^8*T2^13 + 1451*T1^9*T2^13 - 
      550*T1^10*T2^13 - 550*T1^11*T2^13 + 1451*T1^12*T2^13 - 
      752*T1^13*T2^13 - 91*T1^14*T2^13 + 154*T1^15*T2^13 - 46*T1^16*T2^13 + 
      24*T1^6*T2^14 - 119*T1^7*T2^14 + 254*T1^8*T2^14 - 91*T1^9*T2^14 - 
      369*T1^10*T2^14 + 514*T1^11*T2^14 - 369*T1^12*T2^14 - 91*T1^13*T2^14 + 
      254*T1^14*T2^14 - 119*T1^15*T2^14 + 24*T1^16*T2^14 - 7*T1^7*T2^15 + 
      42*T1^8*T2^15 - 119*T1^9*T2^15 + 154*T1^10*T2^15 - 63*T1^11*T2^15 - 
      63*T1^12*T2^15 + 154*T1^13*T2^15 - 119*T1^14*T2^15 + 42*T1^15*T2^15 - 
      7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 24*T1^10*T2^16 - 
      46*T1^11*T2^16 + 55*T1^12*T2^16 - 46*T1^13*T2^16 + 24*T1^14*T2^16 - 
      7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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), (1 - 8*T1 + 26*T1^2 - 49*T1^3 + 59*T1^4 - 49*T1^5 + 26*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 144*T1^2*T2 + 184*T1^3*T2 - 
     80*T1^4*T2 - 80*T1^5*T2 + 184*T1^6*T2 - 144*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 26*T2^2 - 144*T1*T2^2 + 188*T1^2*T2^2 + 195*T1^3*T2^2 - 
     956*T1^4*T2^2 + 1268*T1^5*T2^2 - 956*T1^6*T2^2 + 195*T1^7*T2^2 + 
     188*T1^8*T2^2 - 144*T1^9*T2^2 + 26*T1^10*T2^2 - 49*T2^3 + 184*T1*T2^3 + 
     195*T1^2*T2^3 - 1468*T1^3*T2^3 + 2410*T1^4*T2^3 - 1032*T1^5*T2^3 - 
     1032*T1^6*T2^3 + 2410*T1^7*T2^3 - 1468*T1^8*T2^3 + 195*T1^9*T2^3 + 
     184*T1^10*T2^3 - 49*T1^11*T2^3 + 59*T2^4 - 80*T1*T2^4 - 956*T1^2*T2^4 + 
     2410*T1^3*T2^4 - 1172*T1^4*T2^4 - 3702*T1^5*T2^4 + 5534*T1^6*T2^4 - 
     3702*T1^7*T2^4 - 1172*T1^8*T2^4 + 2410*T1^9*T2^4 - 956*T1^10*T2^4 - 
     80*T1^11*T2^4 + 59*T1^12*T2^4 - 49*T2^5 - 80*T1*T2^5 + 1268*T1^2*T2^5 - 
     1032*T1^3*T2^5 - 3702*T1^4*T2^5 + 8724*T1^5*T2^5 - 3763*T1^6*T2^5 - 
     3763*T1^7*T2^5 + 8724*T1^8*T2^5 - 3702*T1^9*T2^5 - 1032*T1^10*T2^5 + 
     1268*T1^11*T2^5 - 80*T1^12*T2^5 - 49*T1^13*T2^5 + 26*T2^6 + 
     184*T1*T2^6 - 956*T1^2*T2^6 - 1032*T1^3*T2^6 + 5534*T1^4*T2^6 - 
     3763*T1^5*T2^6 - 9181*T1^6*T2^6 + 14117*T1^7*T2^6 - 9181*T1^8*T2^6 - 
     3763*T1^9*T2^6 + 5534*T1^10*T2^6 - 1032*T1^11*T2^6 - 956*T1^12*T2^6 + 
     184*T1^13*T2^6 + 26*T1^14*T2^6 - 8*T2^7 - 144*T1*T2^7 + 195*T1^2*T2^7 + 
     2410*T1^3*T2^7 - 3702*T1^4*T2^7 - 3763*T1^5*T2^7 + 14117*T1^6*T2^7 - 
     6406*T1^7*T2^7 - 6406*T1^8*T2^7 + 14117*T1^9*T2^7 - 3763*T1^10*T2^7 - 
     3702*T1^11*T2^7 + 2410*T1^12*T2^7 + 195*T1^13*T2^7 - 144*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 188*T1^2*T2^8 - 1468*T1^3*T2^8 - 
     1172*T1^4*T2^8 + 8724*T1^5*T2^8 - 9181*T1^6*T2^8 - 6406*T1^7*T2^8 + 
     12708*T1^8*T2^8 - 6406*T1^9*T2^8 - 9181*T1^10*T2^8 + 8724*T1^11*T2^8 - 
     1172*T1^12*T2^8 - 1468*T1^13*T2^8 + 188*T1^14*T2^8 + 56*T1^15*T2^8 + 
     T1^16*T2^8 - 8*T1*T2^9 - 144*T1^2*T2^9 + 195*T1^3*T2^9 + 
     2410*T1^4*T2^9 - 3702*T1^5*T2^9 - 3763*T1^6*T2^9 + 14117*T1^7*T2^9 - 
     6406*T1^8*T2^9 - 6406*T1^9*T2^9 + 14117*T1^10*T2^9 - 3763*T1^11*T2^9 - 
     3702*T1^12*T2^9 + 2410*T1^13*T2^9 + 195*T1^14*T2^9 - 144*T1^15*T2^9 - 
     8*T1^16*T2^9 + 26*T1^2*T2^10 + 184*T1^3*T2^10 - 956*T1^4*T2^10 - 
     1032*T1^5*T2^10 + 5534*T1^6*T2^10 - 3763*T1^7*T2^10 - 9181*T1^8*T2^10 + 
     14117*T1^9*T2^10 - 9181*T1^10*T2^10 - 3763*T1^11*T2^10 + 
     5534*T1^12*T2^10 - 1032*T1^13*T2^10 - 956*T1^14*T2^10 + 
     184*T1^15*T2^10 + 26*T1^16*T2^10 - 49*T1^3*T2^11 - 80*T1^4*T2^11 + 
     1268*T1^5*T2^11 - 1032*T1^6*T2^11 - 3702*T1^7*T2^11 + 8724*T1^8*T2^11 - 
     3763*T1^9*T2^11 - 3763*T1^10*T2^11 + 8724*T1^11*T2^11 - 
     3702*T1^12*T2^11 - 1032*T1^13*T2^11 + 1268*T1^14*T2^11 - 
     80*T1^15*T2^11 - 49*T1^16*T2^11 + 59*T1^4*T2^12 - 80*T1^5*T2^12 - 
     956*T1^6*T2^12 + 2410*T1^7*T2^12 - 1172*T1^8*T2^12 - 3702*T1^9*T2^12 + 
     5534*T1^10*T2^12 - 3702*T1^11*T2^12 - 1172*T1^12*T2^12 + 
     2410*T1^13*T2^12 - 956*T1^14*T2^12 - 80*T1^15*T2^12 + 59*T1^16*T2^12 - 
     49*T1^5*T2^13 + 184*T1^6*T2^13 + 195*T1^7*T2^13 - 1468*T1^8*T2^13 + 
     2410*T1^9*T2^13 - 1032*T1^10*T2^13 - 1032*T1^11*T2^13 + 
     2410*T1^12*T2^13 - 1468*T1^13*T2^13 + 195*T1^14*T2^13 + 
     184*T1^15*T2^13 - 49*T1^16*T2^13 + 26*T1^6*T2^14 - 144*T1^7*T2^14 + 
     188*T1^8*T2^14 + 195*T1^9*T2^14 - 956*T1^10*T2^14 + 1268*T1^11*T2^14 - 
     956*T1^12*T2^14 + 195*T1^13*T2^14 + 188*T1^14*T2^14 - 144*T1^15*T2^14 + 
     26*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 144*T1^9*T2^15 + 
     184*T1^10*T2^15 - 80*T1^11*T2^15 - 80*T1^12*T2^15 + 184*T1^13*T2^15 - 
     144*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
     8*T1^9*T2^16 + 26*T1^10*T2^16 - 49*T1^11*T2^16 + 59*T1^12*T2^16 - 
     49*T1^13*T2^16 + 26*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, 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), -((9 - 44*T1 + 116*T1^2 - 208*T1^3 + 249*T1^4 - 208*T1^5 + 
      116*T1^6 - 44*T1^7 + 9*T1^8 - 44*T2 + 172*T1*T2 - 355*T1^2*T2 + 
      454*T1^3*T2 - 203*T1^4*T2 - 203*T1^5*T2 + 454*T1^6*T2 - 355*T1^7*T2 + 
      172*T1^8*T2 - 44*T1^9*T2 + 116*T2^2 - 355*T1*T2^2 + 559*T1^2*T2^2 - 
      449*T1^3*T2^2 - 350*T1^4*T2^2 + 719*T1^5*T2^2 - 350*T1^6*T2^2 - 
      449*T1^7*T2^2 + 559*T1^8*T2^2 - 355*T1^9*T2^2 + 116*T1^10*T2^2 - 
      208*T2^3 + 454*T1*T2^3 - 449*T1^2*T2^3 - 40*T1^3*T2^3 + 
      1272*T1^4*T2^3 - 622*T1^5*T2^3 - 622*T1^6*T2^3 + 1272*T1^7*T2^3 - 
      40*T1^8*T2^3 - 449*T1^9*T2^3 + 454*T1^10*T2^3 - 208*T1^11*T2^3 + 
      249*T2^4 - 203*T1*T2^4 - 350*T1^2*T2^4 + 1272*T1^3*T2^4 - 
      2382*T1^4*T2^4 - 281*T1^5*T2^4 + 1322*T1^6*T2^4 - 281*T1^7*T2^4 - 
      2382*T1^8*T2^4 + 1272*T1^9*T2^4 - 350*T1^10*T2^4 - 203*T1^11*T2^4 + 
      249*T1^12*T2^4 - 208*T2^5 - 203*T1*T2^5 + 719*T1^2*T2^5 - 
      622*T1^3*T2^5 - 281*T1^4*T2^5 + 4902*T1^5*T2^5 - 2253*T1^6*T2^5 - 
      2253*T1^7*T2^5 + 4902*T1^8*T2^5 - 281*T1^9*T2^5 - 622*T1^10*T2^5 + 
      719*T1^11*T2^5 - 203*T1^12*T2^5 - 208*T1^13*T2^5 + 116*T2^6 + 
      454*T1*T2^6 - 350*T1^2*T2^6 - 622*T1^3*T2^6 + 1322*T1^4*T2^6 - 
      2253*T1^5*T2^6 - 7914*T1^6*T2^6 + 11914*T1^7*T2^6 - 7914*T1^8*T2^6 - 
      2253*T1^9*T2^6 + 1322*T1^10*T2^6 - 622*T1^11*T2^6 - 350*T1^12*T2^6 + 
      454*T1^13*T2^6 + 116*T1^14*T2^6 - 44*T2^7 - 355*T1*T2^7 - 
      449*T1^2*T2^7 + 1272*T1^3*T2^7 - 281*T1^4*T2^7 - 2253*T1^5*T2^7 + 
      11914*T1^6*T2^7 - 5474*T1^7*T2^7 - 5474*T1^8*T2^7 + 11914*T1^9*T2^7 - 
      2253*T1^10*T2^7 - 281*T1^11*T2^7 + 1272*T1^12*T2^7 - 449*T1^13*T2^7 - 
      355*T1^14*T2^7 - 44*T1^15*T2^7 + 9*T2^8 + 172*T1*T2^8 + 559*T1^2*T2^8 - 
      40*T1^3*T2^8 - 2382*T1^4*T2^8 + 4902*T1^5*T2^8 - 7914*T1^6*T2^8 - 
      5474*T1^7*T2^8 + 10860*T1^8*T2^8 - 5474*T1^9*T2^8 - 7914*T1^10*T2^8 + 
      4902*T1^11*T2^8 - 2382*T1^12*T2^8 - 40*T1^13*T2^8 + 559*T1^14*T2^8 + 
      172*T1^15*T2^8 + 9*T1^16*T2^8 - 44*T1*T2^9 - 355*T1^2*T2^9 - 
      449*T1^3*T2^9 + 1272*T1^4*T2^9 - 281*T1^5*T2^9 - 2253*T1^6*T2^9 + 
      11914*T1^7*T2^9 - 5474*T1^8*T2^9 - 5474*T1^9*T2^9 + 11914*T1^10*T2^9 - 
      2253*T1^11*T2^9 - 281*T1^12*T2^9 + 1272*T1^13*T2^9 - 449*T1^14*T2^9 - 
      355*T1^15*T2^9 - 44*T1^16*T2^9 + 116*T1^2*T2^10 + 454*T1^3*T2^10 - 
      350*T1^4*T2^10 - 622*T1^5*T2^10 + 1322*T1^6*T2^10 - 2253*T1^7*T2^10 - 
      7914*T1^8*T2^10 + 11914*T1^9*T2^10 - 7914*T1^10*T2^10 - 
      2253*T1^11*T2^10 + 1322*T1^12*T2^10 - 622*T1^13*T2^10 - 
      350*T1^14*T2^10 + 454*T1^15*T2^10 + 116*T1^16*T2^10 - 208*T1^3*T2^11 - 
      203*T1^4*T2^11 + 719*T1^5*T2^11 - 622*T1^6*T2^11 - 281*T1^7*T2^11 + 
      4902*T1^8*T2^11 - 2253*T1^9*T2^11 - 2253*T1^10*T2^11 + 
      4902*T1^11*T2^11 - 281*T1^12*T2^11 - 622*T1^13*T2^11 + 
      719*T1^14*T2^11 - 203*T1^15*T2^11 - 208*T1^16*T2^11 + 249*T1^4*T2^12 - 
      203*T1^5*T2^12 - 350*T1^6*T2^12 + 1272*T1^7*T2^12 - 2382*T1^8*T2^12 - 
      281*T1^9*T2^12 + 1322*T1^10*T2^12 - 281*T1^11*T2^12 - 
      2382*T1^12*T2^12 + 1272*T1^13*T2^12 - 350*T1^14*T2^12 - 
      203*T1^15*T2^12 + 249*T1^16*T2^12 - 208*T1^5*T2^13 + 454*T1^6*T2^13 - 
      449*T1^7*T2^13 - 40*T1^8*T2^13 + 1272*T1^9*T2^13 - 622*T1^10*T2^13 - 
      622*T1^11*T2^13 + 1272*T1^12*T2^13 - 40*T1^13*T2^13 - 449*T1^14*T2^13 + 
      454*T1^15*T2^13 - 208*T1^16*T2^13 + 116*T1^6*T2^14 - 355*T1^7*T2^14 + 
      559*T1^8*T2^14 - 449*T1^9*T2^14 - 350*T1^10*T2^14 + 719*T1^11*T2^14 - 
      350*T1^12*T2^14 - 449*T1^13*T2^14 + 559*T1^14*T2^14 - 355*T1^15*T2^14 + 
      116*T1^16*T2^14 - 44*T1^7*T2^15 + 172*T1^8*T2^15 - 355*T1^9*T2^15 + 
      454*T1^10*T2^15 - 203*T1^11*T2^15 - 203*T1^12*T2^15 + 454*T1^13*T2^15 - 
      355*T1^14*T2^15 + 172*T1^15*T2^15 - 44*T1^16*T2^15 + 9*T1^8*T2^16 - 
      44*T1^9*T2^16 + 116*T1^10*T2^16 - 208*T1^11*T2^16 + 249*T1^12*T2^16 - 
      208*T1^13*T2^16 + 116*T1^14*T2^16 - 44*T1^15*T2^16 + 9*T1^16*T2^16)/
     (T1^8*T2^8))}, 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, 
   (1 - 9*T1 + 18*T1^2 - 25*T1^3 + 18*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
     58*T1*T2 - 73*T1^2*T2 + 53*T1^3*T2 + 53*T1^4*T2 - 73*T1^5*T2 + 
     58*T1^6*T2 - 9*T1^7*T2 + 18*T2^2 - 73*T1*T2^2 - 127*T1^2*T2^2 + 
     330*T1^3*T2^2 - 617*T1^4*T2^2 + 330*T1^5*T2^2 - 127*T1^6*T2^2 - 
     73*T1^7*T2^2 + 18*T1^8*T2^2 - 25*T2^3 + 53*T1*T2^3 + 330*T1^2*T2^3 - 
     220*T1^3*T2^3 + 413*T1^4*T2^3 + 413*T1^5*T2^3 - 220*T1^6*T2^3 + 
     330*T1^7*T2^3 + 53*T1^8*T2^3 - 25*T1^9*T2^3 + 18*T2^4 + 53*T1*T2^4 - 
     617*T1^2*T2^4 + 413*T1^3*T2^4 - 1471*T1^4*T2^4 + 639*T1^5*T2^4 - 
     1471*T1^6*T2^4 + 413*T1^7*T2^4 - 617*T1^8*T2^4 + 53*T1^9*T2^4 + 
     18*T1^10*T2^4 - 9*T2^5 - 73*T1*T2^5 + 330*T1^2*T2^5 + 413*T1^3*T2^5 + 
     639*T1^4*T2^5 + 810*T1^5*T2^5 + 810*T1^6*T2^5 + 639*T1^7*T2^5 + 
     413*T1^8*T2^5 + 330*T1^9*T2^5 - 73*T1^10*T2^5 - 9*T1^11*T2^5 + T2^6 + 
     58*T1*T2^6 - 127*T1^2*T2^6 - 220*T1^3*T2^6 - 1471*T1^4*T2^6 + 
     810*T1^5*T2^6 - 3072*T1^6*T2^6 + 810*T1^7*T2^6 - 1471*T1^8*T2^6 - 
     220*T1^9*T2^6 - 127*T1^10*T2^6 + 58*T1^11*T2^6 + T1^12*T2^6 - 
     9*T1*T2^7 - 73*T1^2*T2^7 + 330*T1^3*T2^7 + 413*T1^4*T2^7 + 
     639*T1^5*T2^7 + 810*T1^6*T2^7 + 810*T1^7*T2^7 + 639*T1^8*T2^7 + 
     413*T1^9*T2^7 + 330*T1^10*T2^7 - 73*T1^11*T2^7 - 9*T1^12*T2^7 + 
     18*T1^2*T2^8 + 53*T1^3*T2^8 - 617*T1^4*T2^8 + 413*T1^5*T2^8 - 
     1471*T1^6*T2^8 + 639*T1^7*T2^8 - 1471*T1^8*T2^8 + 413*T1^9*T2^8 - 
     617*T1^10*T2^8 + 53*T1^11*T2^8 + 18*T1^12*T2^8 - 25*T1^3*T2^9 + 
     53*T1^4*T2^9 + 330*T1^5*T2^9 - 220*T1^6*T2^9 + 413*T1^7*T2^9 + 
     413*T1^8*T2^9 - 220*T1^9*T2^9 + 330*T1^10*T2^9 + 53*T1^11*T2^9 - 
     25*T1^12*T2^9 + 18*T1^4*T2^10 - 73*T1^5*T2^10 - 127*T1^6*T2^10 + 
     330*T1^7*T2^10 - 617*T1^8*T2^10 + 330*T1^9*T2^10 - 127*T1^10*T2^10 - 
     73*T1^11*T2^10 + 18*T1^12*T2^10 - 9*T1^5*T2^11 + 58*T1^6*T2^11 - 
     73*T1^7*T2^11 + 53*T1^8*T2^11 + 53*T1^9*T2^11 - 73*T1^10*T2^11 + 
     58*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 
     18*T1^8*T2^12 - 25*T1^9*T2^12 + 18*T1^10*T2^12 - 9*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 936] -> 
  {-((4 - 20*T + 46*T^2 - 61*T^3 + 46*T^4 - 20*T^5 + 4*T^6)/T^3), 
   (8*T1 - 28*T1^2 + 40*T1^3 - 28*T1^4 + 8*T1^5 + 8*T2 - 64*T1*T2 + 
     136*T1^2*T2 - 84*T1^3*T2 - 84*T1^4*T2 + 136*T1^5*T2 - 64*T1^6*T2 + 
     8*T1^7*T2 - 28*T2^2 + 136*T1*T2^2 - 62*T1^2*T2^2 - 476*T1^3*T2^2 + 
     904*T1^4*T2^2 - 476*T1^5*T2^2 - 62*T1^6*T2^2 + 136*T1^7*T2^2 - 
     28*T1^8*T2^2 + 40*T2^3 - 84*T1*T2^3 - 476*T1^2*T2^3 + 1434*T1^3*T2^3 - 
     962*T1^4*T2^3 - 962*T1^5*T2^3 + 1434*T1^6*T2^3 - 476*T1^7*T2^3 - 
     84*T1^8*T2^3 + 40*T1^9*T2^3 - 28*T2^4 - 84*T1*T2^4 + 904*T1^2*T2^4 - 
     962*T1^3*T2^4 - 1607*T1^4*T2^4 + 3651*T1^5*T2^4 - 1607*T1^6*T2^4 - 
     962*T1^7*T2^4 + 904*T1^8*T2^4 - 84*T1^9*T2^4 - 28*T1^10*T2^4 + 8*T2^5 + 
     136*T1*T2^5 - 476*T1^2*T2^5 - 962*T1^3*T2^5 + 3651*T1^4*T2^5 - 
     2372*T1^5*T2^5 - 2372*T1^6*T2^5 + 3651*T1^7*T2^5 - 962*T1^8*T2^5 - 
     476*T1^9*T2^5 + 136*T1^10*T2^5 + 8*T1^11*T2^5 - 64*T1*T2^6 - 
     62*T1^2*T2^6 + 1434*T1^3*T2^6 - 1607*T1^4*T2^6 - 2372*T1^5*T2^6 + 
     5328*T1^6*T2^6 - 2372*T1^7*T2^6 - 1607*T1^8*T2^6 + 1434*T1^9*T2^6 - 
     62*T1^10*T2^6 - 64*T1^11*T2^6 + 8*T1*T2^7 + 136*T1^2*T2^7 - 
     476*T1^3*T2^7 - 962*T1^4*T2^7 + 3651*T1^5*T2^7 - 2372*T1^6*T2^7 - 
     2372*T1^7*T2^7 + 3651*T1^8*T2^7 - 962*T1^9*T2^7 - 476*T1^10*T2^7 + 
     136*T1^11*T2^7 + 8*T1^12*T2^7 - 28*T1^2*T2^8 - 84*T1^3*T2^8 + 
     904*T1^4*T2^8 - 962*T1^5*T2^8 - 1607*T1^6*T2^8 + 3651*T1^7*T2^8 - 
     1607*T1^8*T2^8 - 962*T1^9*T2^8 + 904*T1^10*T2^8 - 84*T1^11*T2^8 - 
     28*T1^12*T2^8 + 40*T1^3*T2^9 - 84*T1^4*T2^9 - 476*T1^5*T2^9 + 
     1434*T1^6*T2^9 - 962*T1^7*T2^9 - 962*T1^8*T2^9 + 1434*T1^9*T2^9 - 
     476*T1^10*T2^9 - 84*T1^11*T2^9 + 40*T1^12*T2^9 - 28*T1^4*T2^10 + 
     136*T1^5*T2^10 - 62*T1^6*T2^10 - 476*T1^7*T2^10 + 904*T1^8*T2^10 - 
     476*T1^9*T2^10 - 62*T1^10*T2^10 + 136*T1^11*T2^10 - 28*T1^12*T2^10 + 
     8*T1^5*T2^11 - 64*T1^6*T2^11 + 136*T1^7*T2^11 - 84*T1^8*T2^11 - 
     84*T1^9*T2^11 + 136*T1^10*T2^11 - 64*T1^11*T2^11 + 8*T1^12*T2^11 + 
     8*T1^7*T2^12 - 28*T1^8*T2^12 + 40*T1^9*T2^12 - 28*T1^10*T2^12 + 
     8*T1^11*T2^12)/(T1^6*T2^6)}, 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), -((25 - 87*T1 + 136*T1^2 - 161*T1^3 + 161*T1^4 - 161*T1^5 + 
      136*T1^6 - 87*T1^7 + 25*T1^8 - 87*T2 + 216*T1*T2 - 171*T1^2*T2 + 
      87*T1^3*T2 + 87*T1^6*T2 - 171*T1^7*T2 + 216*T1^8*T2 - 87*T1^9*T2 + 
      136*T2^2 - 171*T1*T2^2 - 186*T1^2*T2^2 + 333*T1^3*T2^2 - 
      380*T1^4*T2^2 + 252*T1^5*T2^2 - 380*T1^6*T2^2 + 333*T1^7*T2^2 - 
      186*T1^8*T2^2 - 171*T1^9*T2^2 + 136*T1^10*T2^2 - 161*T2^3 + 
      87*T1*T2^3 + 333*T1^2*T2^3 - 146*T1^3*T2^3 + 48*T1^4*T2^3 + 
      133*T1^5*T2^3 + 133*T1^6*T2^3 + 48*T1^7*T2^3 - 146*T1^8*T2^3 + 
      333*T1^9*T2^3 + 87*T1^10*T2^3 - 161*T1^11*T2^3 + 161*T2^4 - 
      380*T1^2*T2^4 + 48*T1^3*T2^4 - 207*T1^4*T2^4 + 170*T1^5*T2^4 - 
      525*T1^6*T2^4 + 170*T1^7*T2^4 - 207*T1^8*T2^4 + 48*T1^9*T2^4 - 
      380*T1^10*T2^4 + 161*T1^12*T2^4 - 161*T2^5 + 252*T1^2*T2^5 + 
      133*T1^3*T2^5 + 170*T1^4*T2^5 + 24*T1^5*T2^5 + 218*T1^6*T2^5 + 
      218*T1^7*T2^5 + 24*T1^8*T2^5 + 170*T1^9*T2^5 + 133*T1^10*T2^5 + 
      252*T1^11*T2^5 - 161*T1^13*T2^5 + 136*T2^6 + 87*T1*T2^6 - 
      380*T1^2*T2^6 + 133*T1^3*T2^6 - 525*T1^4*T2^6 + 218*T1^5*T2^6 - 
      527*T1^6*T2^6 + 187*T1^7*T2^6 - 527*T1^8*T2^6 + 218*T1^9*T2^6 - 
      525*T1^10*T2^6 + 133*T1^11*T2^6 - 380*T1^12*T2^6 + 87*T1^13*T2^6 + 
      136*T1^14*T2^6 - 87*T2^7 - 171*T1*T2^7 + 333*T1^2*T2^7 + 48*T1^3*T2^7 + 
      170*T1^4*T2^7 + 218*T1^5*T2^7 + 187*T1^6*T2^7 + 144*T1^7*T2^7 + 
      144*T1^8*T2^7 + 187*T1^9*T2^7 + 218*T1^10*T2^7 + 170*T1^11*T2^7 + 
      48*T1^12*T2^7 + 333*T1^13*T2^7 - 171*T1^14*T2^7 - 87*T1^15*T2^7 + 
      25*T2^8 + 216*T1*T2^8 - 186*T1^2*T2^8 - 146*T1^3*T2^8 - 207*T1^4*T2^8 + 
      24*T1^5*T2^8 - 527*T1^6*T2^8 + 144*T1^7*T2^8 - 420*T1^8*T2^8 + 
      144*T1^9*T2^8 - 527*T1^10*T2^8 + 24*T1^11*T2^8 - 207*T1^12*T2^8 - 
      146*T1^13*T2^8 - 186*T1^14*T2^8 + 216*T1^15*T2^8 + 25*T1^16*T2^8 - 
      87*T1*T2^9 - 171*T1^2*T2^9 + 333*T1^3*T2^9 + 48*T1^4*T2^9 + 
      170*T1^5*T2^9 + 218*T1^6*T2^9 + 187*T1^7*T2^9 + 144*T1^8*T2^9 + 
      144*T1^9*T2^9 + 187*T1^10*T2^9 + 218*T1^11*T2^9 + 170*T1^12*T2^9 + 
      48*T1^13*T2^9 + 333*T1^14*T2^9 - 171*T1^15*T2^9 - 87*T1^16*T2^9 + 
      136*T1^2*T2^10 + 87*T1^3*T2^10 - 380*T1^4*T2^10 + 133*T1^5*T2^10 - 
      525*T1^6*T2^10 + 218*T1^7*T2^10 - 527*T1^8*T2^10 + 187*T1^9*T2^10 - 
      527*T1^10*T2^10 + 218*T1^11*T2^10 - 525*T1^12*T2^10 + 133*T1^13*T2^10 - 
      380*T1^14*T2^10 + 87*T1^15*T2^10 + 136*T1^16*T2^10 - 161*T1^3*T2^11 + 
      252*T1^5*T2^11 + 133*T1^6*T2^11 + 170*T1^7*T2^11 + 24*T1^8*T2^11 + 
      218*T1^9*T2^11 + 218*T1^10*T2^11 + 24*T1^11*T2^11 + 170*T1^12*T2^11 + 
      133*T1^13*T2^11 + 252*T1^14*T2^11 - 161*T1^16*T2^11 + 161*T1^4*T2^12 - 
      380*T1^6*T2^12 + 48*T1^7*T2^12 - 207*T1^8*T2^12 + 170*T1^9*T2^12 - 
      525*T1^10*T2^12 + 170*T1^11*T2^12 - 207*T1^12*T2^12 + 48*T1^13*T2^12 - 
      380*T1^14*T2^12 + 161*T1^16*T2^12 - 161*T1^5*T2^13 + 87*T1^6*T2^13 + 
      333*T1^7*T2^13 - 146*T1^8*T2^13 + 48*T1^9*T2^13 + 133*T1^10*T2^13 + 
      133*T1^11*T2^13 + 48*T1^12*T2^13 - 146*T1^13*T2^13 + 333*T1^14*T2^13 + 
      87*T1^15*T2^13 - 161*T1^16*T2^13 + 136*T1^6*T2^14 - 171*T1^7*T2^14 - 
      186*T1^8*T2^14 + 333*T1^9*T2^14 - 380*T1^10*T2^14 + 252*T1^11*T2^14 - 
      380*T1^12*T2^14 + 333*T1^13*T2^14 - 186*T1^14*T2^14 - 171*T1^15*T2^14 + 
      136*T1^16*T2^14 - 87*T1^7*T2^15 + 216*T1^8*T2^15 - 171*T1^9*T2^15 + 
      87*T1^10*T2^15 + 87*T1^13*T2^15 - 171*T1^14*T2^15 + 216*T1^15*T2^15 - 
      87*T1^16*T2^15 + 25*T1^8*T2^16 - 87*T1^9*T2^16 + 136*T1^10*T2^16 - 
      161*T1^11*T2^16 + 161*T1^12*T2^16 - 161*T1^13*T2^16 + 136*T1^14*T2^16 - 
      87*T1^15*T2^16 + 25*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 938] -> 
  {-(((2 - 3*T + 2*T^2)*(2 - 5*T + 5*T^2 - 5*T^3 + 2*T^4))/T^3), 
   (-2*(72 - 284*T1 + 508*T1^2 - 612*T1^3 + 508*T1^4 - 284*T1^5 + 72*T1^6 - 
      284*T2 + 838*T1*T2 - 888*T1^2*T2 + 412*T1^3*T2 + 412*T1^4*T2 - 
      888*T1^5*T2 + 838*T1^6*T2 - 284*T1^7*T2 + 508*T2^2 - 888*T1*T2^2 - 
      357*T1^2*T2^2 + 1735*T1^3*T2^2 - 2553*T1^4*T2^2 + 1735*T1^5*T2^2 - 
      357*T1^6*T2^2 - 888*T1^7*T2^2 + 508*T1^8*T2^2 - 612*T2^3 + 
      412*T1*T2^3 + 1735*T1^2*T2^3 - 2082*T1^3*T2^3 + 1182*T1^4*T2^3 + 
      1182*T1^5*T2^3 - 2082*T1^6*T2^3 + 1735*T1^7*T2^3 + 412*T1^8*T2^3 - 
      612*T1^9*T2^3 + 508*T2^4 + 412*T1*T2^4 - 2553*T1^2*T2^4 + 
      1182*T1^3*T2^4 + 245*T1^4*T2^4 - 1718*T1^5*T2^4 + 245*T1^6*T2^4 + 
      1182*T1^7*T2^4 - 2553*T1^8*T2^4 + 412*T1^9*T2^4 + 508*T1^10*T2^4 - 
      284*T2^5 - 888*T1*T2^5 + 1735*T1^2*T2^5 + 1182*T1^3*T2^5 - 
      1718*T1^4*T2^5 + 1388*T1^5*T2^5 + 1388*T1^6*T2^5 - 1718*T1^7*T2^5 + 
      1182*T1^8*T2^5 + 1735*T1^9*T2^5 - 888*T1^10*T2^5 - 284*T1^11*T2^5 + 
      72*T2^6 + 838*T1*T2^6 - 357*T1^2*T2^6 - 2082*T1^3*T2^6 + 
      245*T1^4*T2^6 + 1388*T1^5*T2^6 - 3306*T1^6*T2^6 + 1388*T1^7*T2^6 + 
      245*T1^8*T2^6 - 2082*T1^9*T2^6 - 357*T1^10*T2^6 + 838*T1^11*T2^6 + 
      72*T1^12*T2^6 - 284*T1*T2^7 - 888*T1^2*T2^7 + 1735*T1^3*T2^7 + 
      1182*T1^4*T2^7 - 1718*T1^5*T2^7 + 1388*T1^6*T2^7 + 1388*T1^7*T2^7 - 
      1718*T1^8*T2^7 + 1182*T1^9*T2^7 + 1735*T1^10*T2^7 - 888*T1^11*T2^7 - 
      284*T1^12*T2^7 + 508*T1^2*T2^8 + 412*T1^3*T2^8 - 2553*T1^4*T2^8 + 
      1182*T1^5*T2^8 + 245*T1^6*T2^8 - 1718*T1^7*T2^8 + 245*T1^8*T2^8 + 
      1182*T1^9*T2^8 - 2553*T1^10*T2^8 + 412*T1^11*T2^8 + 508*T1^12*T2^8 - 
      612*T1^3*T2^9 + 412*T1^4*T2^9 + 1735*T1^5*T2^9 - 2082*T1^6*T2^9 + 
      1182*T1^7*T2^9 + 1182*T1^8*T2^9 - 2082*T1^9*T2^9 + 1735*T1^10*T2^9 + 
      412*T1^11*T2^9 - 612*T1^12*T2^9 + 508*T1^4*T2^10 - 888*T1^5*T2^10 - 
      357*T1^6*T2^10 + 1735*T1^7*T2^10 - 2553*T1^8*T2^10 + 1735*T1^9*T2^10 - 
      357*T1^10*T2^10 - 888*T1^11*T2^10 + 508*T1^12*T2^10 - 284*T1^5*T2^11 + 
      838*T1^6*T2^11 - 888*T1^7*T2^11 + 412*T1^8*T2^11 + 412*T1^9*T2^11 - 
      888*T1^10*T2^11 + 838*T1^11*T2^11 - 284*T1^12*T2^11 + 72*T1^6*T2^12 - 
      284*T1^7*T2^12 + 508*T1^8*T2^12 - 612*T1^9*T2^12 + 508*T1^10*T2^12 - 
      284*T1^11*T2^12 + 72*T1^12*T2^12))/(T1^6*T2^6)}, 
 Knot[12, Alternating, 939] -> 
  {-((10 - 40*T + 59*T^2 - 40*T^3 + 10*T^4)/T^2), 
   -((1035 - 4030*T1 + 5867*T1^2 - 4030*T1^3 + 1035*T1^4 - 4030*T2 + 
      11676*T1*T2 - 7188*T1^2*T2 - 7188*T1^3*T2 + 11676*T1^4*T2 - 
      4030*T1^5*T2 + 5867*T2^2 - 7188*T1*T2^2 - 21900*T1^2*T2^2 + 
      43458*T1^3*T2^2 - 21900*T1^4*T2^2 - 7188*T1^5*T2^2 + 5867*T1^6*T2^2 - 
      4030*T2^3 - 7188*T1*T2^3 + 43458*T1^2*T2^3 - 29412*T1^3*T2^3 - 
      29412*T1^4*T2^3 + 43458*T1^5*T2^3 - 7188*T1^6*T2^3 - 4030*T1^7*T2^3 + 
      1035*T2^4 + 11676*T1*T2^4 - 21900*T1^2*T2^4 - 29412*T1^3*T2^4 + 
      70272*T1^4*T2^4 - 29412*T1^5*T2^4 - 21900*T1^6*T2^4 + 11676*T1^7*T2^4 + 
      1035*T1^8*T2^4 - 4030*T1*T2^5 - 7188*T1^2*T2^5 + 43458*T1^3*T2^5 - 
      29412*T1^4*T2^5 - 29412*T1^5*T2^5 + 43458*T1^6*T2^5 - 7188*T1^7*T2^5 - 
      4030*T1^8*T2^5 + 5867*T1^2*T2^6 - 7188*T1^3*T2^6 - 21900*T1^4*T2^6 + 
      43458*T1^5*T2^6 - 21900*T1^6*T2^6 - 7188*T1^7*T2^6 + 5867*T1^8*T2^6 - 
      4030*T1^3*T2^7 + 11676*T1^4*T2^7 - 7188*T1^5*T2^7 - 7188*T1^6*T2^7 + 
      11676*T1^7*T2^7 - 4030*T1^8*T2^7 + 1035*T1^4*T2^8 - 4030*T1^5*T2^8 + 
      5867*T1^6*T2^8 - 4030*T1^7*T2^8 + 1035*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, Alternating, 940] -> 
  {-((2 - 13*T + 39*T^2 - 57*T^3 + 39*T^4 - 13*T^5 + 2*T^6)/T^3), 
   -((1 - 7*T1 + 22*T1^2 - 33*T1^3 + 22*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 105*T1^2*T2 + 77*T1^3*T2 + 77*T1^4*T2 - 105*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 22*T2^2 - 105*T1*T2^2 + 178*T1^2*T2^2 + 
      215*T1^3*T2^2 - 738*T1^4*T2^2 + 215*T1^5*T2^2 + 178*T1^6*T2^2 - 
      105*T1^7*T2^2 + 22*T1^8*T2^2 - 33*T2^3 + 77*T1*T2^3 + 215*T1^2*T2^3 - 
      1682*T1^3*T2^3 + 1717*T1^4*T2^3 + 1717*T1^5*T2^3 - 1682*T1^6*T2^3 + 
      215*T1^7*T2^3 + 77*T1^8*T2^3 - 33*T1^9*T2^3 + 22*T2^4 + 77*T1*T2^4 - 
      738*T1^2*T2^4 + 1717*T1^3*T2^4 + 3662*T1^4*T2^4 - 11274*T1^5*T2^4 + 
      3662*T1^6*T2^4 + 1717*T1^7*T2^4 - 738*T1^8*T2^4 + 77*T1^9*T2^4 + 
      22*T1^10*T2^4 - 7*T2^5 - 105*T1*T2^5 + 215*T1^2*T2^5 + 1717*T1^3*T2^5 - 
      11274*T1^4*T2^5 + 11188*T1^5*T2^5 + 11188*T1^6*T2^5 - 11274*T1^7*T2^5 + 
      1717*T1^8*T2^5 + 215*T1^9*T2^5 - 105*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 + 178*T1^2*T2^6 - 1682*T1^3*T2^6 + 3662*T1^4*T2^6 + 
      11188*T1^5*T2^6 - 31092*T1^6*T2^6 + 11188*T1^7*T2^6 + 3662*T1^8*T2^6 - 
      1682*T1^9*T2^6 + 178*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 105*T1^2*T2^7 + 215*T1^3*T2^7 + 1717*T1^4*T2^7 - 
      11274*T1^5*T2^7 + 11188*T1^6*T2^7 + 11188*T1^7*T2^7 - 11274*T1^8*T2^7 + 
      1717*T1^9*T2^7 + 215*T1^10*T2^7 - 105*T1^11*T2^7 - 7*T1^12*T2^7 + 
      22*T1^2*T2^8 + 77*T1^3*T2^8 - 738*T1^4*T2^8 + 1717*T1^5*T2^8 + 
      3662*T1^6*T2^8 - 11274*T1^7*T2^8 + 3662*T1^8*T2^8 + 1717*T1^9*T2^8 - 
      738*T1^10*T2^8 + 77*T1^11*T2^8 + 22*T1^12*T2^8 - 33*T1^3*T2^9 + 
      77*T1^4*T2^9 + 215*T1^5*T2^9 - 1682*T1^6*T2^9 + 1717*T1^7*T2^9 + 
      1717*T1^8*T2^9 - 1682*T1^9*T2^9 + 215*T1^10*T2^9 + 77*T1^11*T2^9 - 
      33*T1^12*T2^9 + 22*T1^4*T2^10 - 105*T1^5*T2^10 + 178*T1^6*T2^10 + 
      215*T1^7*T2^10 - 738*T1^8*T2^10 + 215*T1^9*T2^10 + 178*T1^10*T2^10 - 
      105*T1^11*T2^10 + 22*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      105*T1^7*T2^11 + 77*T1^8*T2^11 + 77*T1^9*T2^11 - 105*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      22*T1^8*T2^12 - 33*T1^9*T2^12 + 22*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 941] -> 
  {-(((1 - T + T^2)^2*(2 - 4*T + 3*T^2 - 4*T^3 + 2*T^4))/T^4), 
   -((9 - 36*T1 + 76*T1^2 - 116*T1^3 + 129*T1^4 - 116*T1^5 + 76*T1^6 - 
      36*T1^7 + 9*T1^8 - 36*T2 + 108*T1*T2 - 160*T1^2*T2 + 160*T1^3*T2 - 
      52*T1^4*T2 - 52*T1^5*T2 + 160*T1^6*T2 - 160*T1^7*T2 + 108*T1^8*T2 - 
      36*T1^9*T2 + 76*T2^2 - 160*T1*T2^2 + 144*T1^2*T2^2 - 67*T1^3*T2^2 - 
      157*T1^4*T2^2 + 162*T1^5*T2^2 - 157*T1^6*T2^2 - 67*T1^7*T2^2 + 
      144*T1^8*T2^2 - 160*T1^9*T2^2 + 76*T1^10*T2^2 - 116*T2^3 + 
      160*T1*T2^3 - 67*T1^2*T2^3 - 2*T1^3*T2^3 + 284*T1^4*T2^3 - 
      25*T1^5*T2^3 - 25*T1^6*T2^3 + 284*T1^7*T2^3 - 2*T1^8*T2^3 - 
      67*T1^9*T2^3 + 160*T1^10*T2^3 - 116*T1^11*T2^3 + 129*T2^4 - 
      52*T1*T2^4 - 157*T1^2*T2^4 + 284*T1^3*T2^4 - 723*T1^4*T2^4 + 
      215*T1^5*T2^4 - 361*T1^6*T2^4 + 215*T1^7*T2^4 - 723*T1^8*T2^4 + 
      284*T1^9*T2^4 - 157*T1^10*T2^4 - 52*T1^11*T2^4 + 129*T1^12*T2^4 - 
      116*T2^5 - 52*T1*T2^5 + 162*T1^2*T2^5 - 25*T1^3*T2^5 + 215*T1^4*T2^5 + 
      672*T1^5*T2^5 - 74*T1^6*T2^5 - 74*T1^7*T2^5 + 672*T1^8*T2^5 + 
      215*T1^9*T2^5 - 25*T1^10*T2^5 + 162*T1^11*T2^5 - 52*T1^12*T2^5 - 
      116*T1^13*T2^5 + 76*T2^6 + 160*T1*T2^6 - 157*T1^2*T2^6 - 25*T1^3*T2^6 - 
      361*T1^4*T2^6 - 74*T1^5*T2^6 - 1444*T1^6*T2^6 + 1560*T1^7*T2^6 - 
      1444*T1^8*T2^6 - 74*T1^9*T2^6 - 361*T1^10*T2^6 - 25*T1^11*T2^6 - 
      157*T1^12*T2^6 + 160*T1^13*T2^6 + 76*T1^14*T2^6 - 36*T2^7 - 
      160*T1*T2^7 - 67*T1^2*T2^7 + 284*T1^3*T2^7 + 215*T1^4*T2^7 - 
      74*T1^5*T2^7 + 1560*T1^6*T2^7 - 508*T1^7*T2^7 - 508*T1^8*T2^7 + 
      1560*T1^9*T2^7 - 74*T1^10*T2^7 + 215*T1^11*T2^7 + 284*T1^12*T2^7 - 
      67*T1^13*T2^7 - 160*T1^14*T2^7 - 36*T1^15*T2^7 + 9*T2^8 + 108*T1*T2^8 + 
      144*T1^2*T2^8 - 2*T1^3*T2^8 - 723*T1^4*T2^8 + 672*T1^5*T2^8 - 
      1444*T1^6*T2^8 - 508*T1^7*T2^8 + 948*T1^8*T2^8 - 508*T1^9*T2^8 - 
      1444*T1^10*T2^8 + 672*T1^11*T2^8 - 723*T1^12*T2^8 - 2*T1^13*T2^8 + 
      144*T1^14*T2^8 + 108*T1^15*T2^8 + 9*T1^16*T2^8 - 36*T1*T2^9 - 
      160*T1^2*T2^9 - 67*T1^3*T2^9 + 284*T1^4*T2^9 + 215*T1^5*T2^9 - 
      74*T1^6*T2^9 + 1560*T1^7*T2^9 - 508*T1^8*T2^9 - 508*T1^9*T2^9 + 
      1560*T1^10*T2^9 - 74*T1^11*T2^9 + 215*T1^12*T2^9 + 284*T1^13*T2^9 - 
      67*T1^14*T2^9 - 160*T1^15*T2^9 - 36*T1^16*T2^9 + 76*T1^2*T2^10 + 
      160*T1^3*T2^10 - 157*T1^4*T2^10 - 25*T1^5*T2^10 - 361*T1^6*T2^10 - 
      74*T1^7*T2^10 - 1444*T1^8*T2^10 + 1560*T1^9*T2^10 - 1444*T1^10*T2^10 - 
      74*T1^11*T2^10 - 361*T1^12*T2^10 - 25*T1^13*T2^10 - 157*T1^14*T2^10 + 
      160*T1^15*T2^10 + 76*T1^16*T2^10 - 116*T1^3*T2^11 - 52*T1^4*T2^11 + 
      162*T1^5*T2^11 - 25*T1^6*T2^11 + 215*T1^7*T2^11 + 672*T1^8*T2^11 - 
      74*T1^9*T2^11 - 74*T1^10*T2^11 + 672*T1^11*T2^11 + 215*T1^12*T2^11 - 
      25*T1^13*T2^11 + 162*T1^14*T2^11 - 52*T1^15*T2^11 - 116*T1^16*T2^11 + 
      129*T1^4*T2^12 - 52*T1^5*T2^12 - 157*T1^6*T2^12 + 284*T1^7*T2^12 - 
      723*T1^8*T2^12 + 215*T1^9*T2^12 - 361*T1^10*T2^12 + 215*T1^11*T2^12 - 
      723*T1^12*T2^12 + 284*T1^13*T2^12 - 157*T1^14*T2^12 - 52*T1^15*T2^12 + 
      129*T1^16*T2^12 - 116*T1^5*T2^13 + 160*T1^6*T2^13 - 67*T1^7*T2^13 - 
      2*T1^8*T2^13 + 284*T1^9*T2^13 - 25*T1^10*T2^13 - 25*T1^11*T2^13 + 
      284*T1^12*T2^13 - 2*T1^13*T2^13 - 67*T1^14*T2^13 + 160*T1^15*T2^13 - 
      116*T1^16*T2^13 + 76*T1^6*T2^14 - 160*T1^7*T2^14 + 144*T1^8*T2^14 - 
      67*T1^9*T2^14 - 157*T1^10*T2^14 + 162*T1^11*T2^14 - 157*T1^12*T2^14 - 
      67*T1^13*T2^14 + 144*T1^14*T2^14 - 160*T1^15*T2^14 + 76*T1^16*T2^14 - 
      36*T1^7*T2^15 + 108*T1^8*T2^15 - 160*T1^9*T2^15 + 160*T1^10*T2^15 - 
      52*T1^11*T2^15 - 52*T1^12*T2^15 + 160*T1^13*T2^15 - 160*T1^14*T2^15 + 
      108*T1^15*T2^15 - 36*T1^16*T2^15 + 9*T1^8*T2^16 - 36*T1^9*T2^16 + 
      76*T1^10*T2^16 - 116*T1^11*T2^16 + 129*T1^12*T2^16 - 116*T1^13*T2^16 + 
      76*T1^14*T2^16 - 36*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 942] -> 
  {-((4 - 18*T + 39*T^2 - 51*T^3 + 39*T^4 - 18*T^5 + 4*T^6)/T^3), 
   -((16 - 68*T1 + 144*T1^2 - 192*T1^3 + 144*T1^4 - 68*T1^5 + 16*T1^6 - 
      68*T2 + 222*T1*T2 - 324*T1^2*T2 + 204*T1^3*T2 + 204*T1^4*T2 - 
      324*T1^5*T2 + 222*T1^6*T2 - 68*T1^7*T2 + 144*T2^2 - 324*T1*T2^2 + 
      273*T1^2*T2^2 + 17*T1^3*T2^2 - 529*T1^4*T2^2 + 17*T1^5*T2^2 + 
      273*T1^6*T2^2 - 324*T1^7*T2^2 + 144*T1^8*T2^2 - 192*T2^3 + 
      204*T1*T2^3 + 17*T1^2*T2^3 - 114*T1^3*T2^3 + 568*T1^4*T2^3 + 
      568*T1^5*T2^3 - 114*T1^6*T2^3 + 17*T1^7*T2^3 + 204*T1^8*T2^3 - 
      192*T1^9*T2^3 + 144*T2^4 + 204*T1*T2^4 - 529*T1^2*T2^4 + 
      568*T1^3*T2^4 - 1335*T1^4*T2^4 - 259*T1^5*T2^4 - 1335*T1^6*T2^4 + 
      568*T1^7*T2^4 - 529*T1^8*T2^4 + 204*T1^9*T2^4 + 144*T1^10*T2^4 - 
      68*T2^5 - 324*T1*T2^5 + 17*T1^2*T2^5 + 568*T1^3*T2^5 - 259*T1^4*T2^5 + 
      1798*T1^5*T2^5 + 1798*T1^6*T2^5 - 259*T1^7*T2^5 + 568*T1^8*T2^5 + 
      17*T1^9*T2^5 - 324*T1^10*T2^5 - 68*T1^11*T2^5 + 16*T2^6 + 222*T1*T2^6 + 
      273*T1^2*T2^6 - 114*T1^3*T2^6 - 1335*T1^4*T2^6 + 1798*T1^5*T2^6 - 
      5772*T1^6*T2^6 + 1798*T1^7*T2^6 - 1335*T1^8*T2^6 - 114*T1^9*T2^6 + 
      273*T1^10*T2^6 + 222*T1^11*T2^6 + 16*T1^12*T2^6 - 68*T1*T2^7 - 
      324*T1^2*T2^7 + 17*T1^3*T2^7 + 568*T1^4*T2^7 - 259*T1^5*T2^7 + 
      1798*T1^6*T2^7 + 1798*T1^7*T2^7 - 259*T1^8*T2^7 + 568*T1^9*T2^7 + 
      17*T1^10*T2^7 - 324*T1^11*T2^7 - 68*T1^12*T2^7 + 144*T1^2*T2^8 + 
      204*T1^3*T2^8 - 529*T1^4*T2^8 + 568*T1^5*T2^8 - 1335*T1^6*T2^8 - 
      259*T1^7*T2^8 - 1335*T1^8*T2^8 + 568*T1^9*T2^8 - 529*T1^10*T2^8 + 
      204*T1^11*T2^8 + 144*T1^12*T2^8 - 192*T1^3*T2^9 + 204*T1^4*T2^9 + 
      17*T1^5*T2^9 - 114*T1^6*T2^9 + 568*T1^7*T2^9 + 568*T1^8*T2^9 - 
      114*T1^9*T2^9 + 17*T1^10*T2^9 + 204*T1^11*T2^9 - 192*T1^12*T2^9 + 
      144*T1^4*T2^10 - 324*T1^5*T2^10 + 273*T1^6*T2^10 + 17*T1^7*T2^10 - 
      529*T1^8*T2^10 + 17*T1^9*T2^10 + 273*T1^10*T2^10 - 324*T1^11*T2^10 + 
      144*T1^12*T2^10 - 68*T1^5*T2^11 + 222*T1^6*T2^11 - 324*T1^7*T2^11 + 
      204*T1^8*T2^11 + 204*T1^9*T2^11 - 324*T1^10*T2^11 + 222*T1^11*T2^11 - 
      68*T1^12*T2^11 + 16*T1^6*T2^12 - 68*T1^7*T2^12 + 144*T1^8*T2^12 - 
      192*T1^9*T2^12 + 144*T1^10*T2^12 - 68*T1^11*T2^12 + 16*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, Alternating, 943] -> 
  {-(((4 - 9*T + 4*T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3), 
   (8*T1 - 24*T1^2 + 32*T1^3 - 24*T1^4 + 8*T1^5 + 8*T2 - 72*T1*T2 + 
     143*T1^2*T2 - 83*T1^3*T2 - 83*T1^4*T2 + 143*T1^5*T2 - 72*T1^6*T2 + 
     8*T1^7*T2 - 24*T2^2 + 143*T1*T2^2 - 18*T1^2*T2^2 - 628*T1^3*T2^2 + 
     1098*T1^4*T2^2 - 628*T1^5*T2^2 - 18*T1^6*T2^2 + 143*T1^7*T2^2 - 
     24*T1^8*T2^2 + 32*T2^3 - 83*T1*T2^3 - 628*T1^2*T2^3 + 1738*T1^3*T2^3 - 
     1103*T1^4*T2^3 - 1103*T1^5*T2^3 + 1738*T1^6*T2^3 - 628*T1^7*T2^3 - 
     83*T1^8*T2^3 + 32*T1^9*T2^3 - 24*T2^4 - 83*T1*T2^4 + 1098*T1^2*T2^4 - 
     1103*T1^3*T2^4 - 1932*T1^4*T2^4 + 4136*T1^5*T2^4 - 1932*T1^6*T2^4 - 
     1103*T1^7*T2^4 + 1098*T1^8*T2^4 - 83*T1^9*T2^4 - 24*T1^10*T2^4 + 
     8*T2^5 + 143*T1*T2^5 - 628*T1^2*T2^5 - 1103*T1^3*T2^5 + 4136*T1^4*T2^5 - 
     2508*T1^5*T2^5 - 2508*T1^6*T2^5 + 4136*T1^7*T2^5 - 1103*T1^8*T2^5 - 
     628*T1^9*T2^5 + 143*T1^10*T2^5 + 8*T1^11*T2^5 - 72*T1*T2^6 - 
     18*T1^2*T2^6 + 1738*T1^3*T2^6 - 1932*T1^4*T2^6 - 2508*T1^5*T2^6 + 
     5400*T1^6*T2^6 - 2508*T1^7*T2^6 - 1932*T1^8*T2^6 + 1738*T1^9*T2^6 - 
     18*T1^10*T2^6 - 72*T1^11*T2^6 + 8*T1*T2^7 + 143*T1^2*T2^7 - 
     628*T1^3*T2^7 - 1103*T1^4*T2^7 + 4136*T1^5*T2^7 - 2508*T1^6*T2^7 - 
     2508*T1^7*T2^7 + 4136*T1^8*T2^7 - 1103*T1^9*T2^7 - 628*T1^10*T2^7 + 
     143*T1^11*T2^7 + 8*T1^12*T2^7 - 24*T1^2*T2^8 - 83*T1^3*T2^8 + 
     1098*T1^4*T2^8 - 1103*T1^5*T2^8 - 1932*T1^6*T2^8 + 4136*T1^7*T2^8 - 
     1932*T1^8*T2^8 - 1103*T1^9*T2^8 + 1098*T1^10*T2^8 - 83*T1^11*T2^8 - 
     24*T1^12*T2^8 + 32*T1^3*T2^9 - 83*T1^4*T2^9 - 628*T1^5*T2^9 + 
     1738*T1^6*T2^9 - 1103*T1^7*T2^9 - 1103*T1^8*T2^9 + 1738*T1^9*T2^9 - 
     628*T1^10*T2^9 - 83*T1^11*T2^9 + 32*T1^12*T2^9 - 24*T1^4*T2^10 + 
     143*T1^5*T2^10 - 18*T1^6*T2^10 - 628*T1^7*T2^10 + 1098*T1^8*T2^10 - 
     628*T1^9*T2^10 - 18*T1^10*T2^10 + 143*T1^11*T2^10 - 24*T1^12*T2^10 + 
     8*T1^5*T2^11 - 72*T1^6*T2^11 + 143*T1^7*T2^11 - 83*T1^8*T2^11 - 
     83*T1^9*T2^11 + 143*T1^10*T2^11 - 72*T1^11*T2^11 + 8*T1^12*T2^11 + 
     8*T1^7*T2^12 - 24*T1^8*T2^12 + 32*T1^9*T2^12 - 24*T1^10*T2^12 + 
     8*T1^11*T2^12)/(T1^6*T2^6)}, 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, 
   (1 - 3*T1 + 6*T1^2 - 9*T1^3 + 11*T1^4 - 9*T1^5 + 6*T1^6 - 3*T1^7 + T1^8 - 
     3*T2 + 4*T1*T2 - 4*T1^2*T2 + 4*T1^3*T2 - 4*T1^4*T2 - 4*T1^5*T2 + 
     4*T1^6*T2 - 4*T1^7*T2 + 4*T1^8*T2 - 3*T1^9*T2 + 6*T2^2 - 4*T1*T2^2 + 
     8*T1^2*T2^2 - 30*T1^3*T2^2 + 76*T1^4*T2^2 - 94*T1^5*T2^2 + 
     76*T1^6*T2^2 - 30*T1^7*T2^2 + 8*T1^8*T2^2 - 4*T1^9*T2^2 + 6*T1^10*T2^2 - 
     9*T2^3 + 4*T1*T2^3 - 30*T1^2*T2^3 + 102*T1^3*T2^3 - 203*T1^4*T2^3 + 
     113*T1^5*T2^3 + 113*T1^6*T2^3 - 203*T1^7*T2^3 + 102*T1^8*T2^3 - 
     30*T1^9*T2^3 + 4*T1^10*T2^3 - 9*T1^11*T2^3 + 11*T2^4 - 4*T1*T2^4 + 
     76*T1^2*T2^4 - 203*T1^3*T2^4 + 306*T1^4*T2^4 + 66*T1^5*T2^4 - 
     360*T1^6*T2^4 + 66*T1^7*T2^4 + 306*T1^8*T2^4 - 203*T1^9*T2^4 + 
     76*T1^10*T2^4 - 4*T1^11*T2^4 + 11*T1^12*T2^4 - 9*T2^5 - 4*T1*T2^5 - 
     94*T1^2*T2^5 + 113*T1^3*T2^5 + 66*T1^4*T2^5 - 818*T1^5*T2^5 + 
     537*T1^6*T2^5 + 537*T1^7*T2^5 - 818*T1^8*T2^5 + 66*T1^9*T2^5 + 
     113*T1^10*T2^5 - 94*T1^11*T2^5 - 4*T1^12*T2^5 - 9*T1^13*T2^5 + 6*T2^6 + 
     4*T1*T2^6 + 76*T1^2*T2^6 + 113*T1^3*T2^6 - 360*T1^4*T2^6 + 
     537*T1^5*T2^6 + 1277*T1^6*T2^6 - 2407*T1^7*T2^6 + 1277*T1^8*T2^6 + 
     537*T1^9*T2^6 - 360*T1^10*T2^6 + 113*T1^11*T2^6 + 76*T1^12*T2^6 + 
     4*T1^13*T2^6 + 6*T1^14*T2^6 - 3*T2^7 - 4*T1*T2^7 - 30*T1^2*T2^7 - 
     203*T1^3*T2^7 + 66*T1^4*T2^7 + 537*T1^5*T2^7 - 2407*T1^6*T2^7 + 
     1344*T1^7*T2^7 + 1344*T1^8*T2^7 - 2407*T1^9*T2^7 + 537*T1^10*T2^7 + 
     66*T1^11*T2^7 - 203*T1^12*T2^7 - 30*T1^13*T2^7 - 4*T1^14*T2^7 - 
     3*T1^15*T2^7 + T2^8 + 4*T1*T2^8 + 8*T1^2*T2^8 + 102*T1^3*T2^8 + 
     306*T1^4*T2^8 - 818*T1^5*T2^8 + 1277*T1^6*T2^8 + 1344*T1^7*T2^8 - 
     2832*T1^8*T2^8 + 1344*T1^9*T2^8 + 1277*T1^10*T2^8 - 818*T1^11*T2^8 + 
     306*T1^12*T2^8 + 102*T1^13*T2^8 + 8*T1^14*T2^8 + 4*T1^15*T2^8 + 
     T1^16*T2^8 - 3*T1*T2^9 - 4*T1^2*T2^9 - 30*T1^3*T2^9 - 203*T1^4*T2^9 + 
     66*T1^5*T2^9 + 537*T1^6*T2^9 - 2407*T1^7*T2^9 + 1344*T1^8*T2^9 + 
     1344*T1^9*T2^9 - 2407*T1^10*T2^9 + 537*T1^11*T2^9 + 66*T1^12*T2^9 - 
     203*T1^13*T2^9 - 30*T1^14*T2^9 - 4*T1^15*T2^9 - 3*T1^16*T2^9 + 
     6*T1^2*T2^10 + 4*T1^3*T2^10 + 76*T1^4*T2^10 + 113*T1^5*T2^10 - 
     360*T1^6*T2^10 + 537*T1^7*T2^10 + 1277*T1^8*T2^10 - 2407*T1^9*T2^10 + 
     1277*T1^10*T2^10 + 537*T1^11*T2^10 - 360*T1^12*T2^10 + 113*T1^13*T2^10 + 
     76*T1^14*T2^10 + 4*T1^15*T2^10 + 6*T1^16*T2^10 - 9*T1^3*T2^11 - 
     4*T1^4*T2^11 - 94*T1^5*T2^11 + 113*T1^6*T2^11 + 66*T1^7*T2^11 - 
     818*T1^8*T2^11 + 537*T1^9*T2^11 + 537*T1^10*T2^11 - 818*T1^11*T2^11 + 
     66*T1^12*T2^11 + 113*T1^13*T2^11 - 94*T1^14*T2^11 - 4*T1^15*T2^11 - 
     9*T1^16*T2^11 + 11*T1^4*T2^12 - 4*T1^5*T2^12 + 76*T1^6*T2^12 - 
     203*T1^7*T2^12 + 306*T1^8*T2^12 + 66*T1^9*T2^12 - 360*T1^10*T2^12 + 
     66*T1^11*T2^12 + 306*T1^12*T2^12 - 203*T1^13*T2^12 + 76*T1^14*T2^12 - 
     4*T1^15*T2^12 + 11*T1^16*T2^12 - 9*T1^5*T2^13 + 4*T1^6*T2^13 - 
     30*T1^7*T2^13 + 102*T1^8*T2^13 - 203*T1^9*T2^13 + 113*T1^10*T2^13 + 
     113*T1^11*T2^13 - 203*T1^12*T2^13 + 102*T1^13*T2^13 - 30*T1^14*T2^13 + 
     4*T1^15*T2^13 - 9*T1^16*T2^13 + 6*T1^6*T2^14 - 4*T1^7*T2^14 + 
     8*T1^8*T2^14 - 30*T1^9*T2^14 + 76*T1^10*T2^14 - 94*T1^11*T2^14 + 
     76*T1^12*T2^14 - 30*T1^13*T2^14 + 8*T1^14*T2^14 - 4*T1^15*T2^14 + 
     6*T1^16*T2^14 - 3*T1^7*T2^15 + 4*T1^8*T2^15 - 4*T1^9*T2^15 + 
     4*T1^10*T2^15 - 4*T1^11*T2^15 - 4*T1^12*T2^15 + 4*T1^13*T2^15 - 
     4*T1^14*T2^15 + 4*T1^15*T2^15 - 3*T1^16*T2^15 + T1^8*T2^16 - 
     3*T1^9*T2^16 + 6*T1^10*T2^16 - 9*T1^11*T2^16 + 11*T1^12*T2^16 - 
     9*T1^13*T2^16 + 6*T1^14*T2^16 - 3*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 945] -> 
  {(4 - 20*T + 46*T^2 - 59*T^3 + 46*T^4 - 20*T^5 + 4*T^6)/T^3, 
   (64 - 312*T1 + 704*T1^2 - 896*T1^3 + 704*T1^4 - 312*T1^5 + 64*T1^6 - 
     312*T2 + 1208*T1*T2 - 1908*T1^2*T2 + 936*T1^3*T2 + 936*T1^4*T2 - 
     1908*T1^5*T2 + 1208*T1^6*T2 - 312*T1^7*T2 + 704*T2^2 - 1908*T1*T2^2 + 
     954*T1^2*T2^2 + 3699*T1^3*T2^2 - 6226*T1^4*T2^2 + 3699*T1^5*T2^2 + 
     954*T1^6*T2^2 - 1908*T1^7*T2^2 + 704*T1^8*T2^2 - 896*T2^3 + 
     936*T1*T2^3 + 3699*T1^2*T2^3 - 10018*T1^3*T2^3 + 5369*T1^4*T2^3 + 
     5369*T1^5*T2^3 - 10018*T1^6*T2^3 + 3699*T1^7*T2^3 + 936*T1^8*T2^3 - 
     896*T1^9*T2^3 + 704*T2^4 + 936*T1*T2^4 - 6226*T1^2*T2^4 + 
     5369*T1^3*T2^4 + 11677*T1^4*T2^4 - 21507*T1^5*T2^4 + 11677*T1^6*T2^4 + 
     5369*T1^7*T2^4 - 6226*T1^8*T2^4 + 936*T1^9*T2^4 + 704*T1^10*T2^4 - 
     312*T2^5 - 1908*T1*T2^5 + 3699*T1^2*T2^5 + 5369*T1^3*T2^5 - 
     21507*T1^4*T2^5 + 12262*T1^5*T2^5 + 12262*T1^6*T2^5 - 21507*T1^7*T2^5 + 
     5369*T1^8*T2^5 + 3699*T1^9*T2^5 - 1908*T1^10*T2^5 - 312*T1^11*T2^5 + 
     64*T2^6 + 1208*T1*T2^6 + 954*T1^2*T2^6 - 10018*T1^3*T2^6 + 
     11677*T1^4*T2^6 + 12262*T1^5*T2^6 - 26964*T1^6*T2^6 + 12262*T1^7*T2^6 + 
     11677*T1^8*T2^6 - 10018*T1^9*T2^6 + 954*T1^10*T2^6 + 1208*T1^11*T2^6 + 
     64*T1^12*T2^6 - 312*T1*T2^7 - 1908*T1^2*T2^7 + 3699*T1^3*T2^7 + 
     5369*T1^4*T2^7 - 21507*T1^5*T2^7 + 12262*T1^6*T2^7 + 12262*T1^7*T2^7 - 
     21507*T1^8*T2^7 + 5369*T1^9*T2^7 + 3699*T1^10*T2^7 - 1908*T1^11*T2^7 - 
     312*T1^12*T2^7 + 704*T1^2*T2^8 + 936*T1^3*T2^8 - 6226*T1^4*T2^8 + 
     5369*T1^5*T2^8 + 11677*T1^6*T2^8 - 21507*T1^7*T2^8 + 11677*T1^8*T2^8 + 
     5369*T1^9*T2^8 - 6226*T1^10*T2^8 + 936*T1^11*T2^8 + 704*T1^12*T2^8 - 
     896*T1^3*T2^9 + 936*T1^4*T2^9 + 3699*T1^5*T2^9 - 10018*T1^6*T2^9 + 
     5369*T1^7*T2^9 + 5369*T1^8*T2^9 - 10018*T1^9*T2^9 + 3699*T1^10*T2^9 + 
     936*T1^11*T2^9 - 896*T1^12*T2^9 + 704*T1^4*T2^10 - 1908*T1^5*T2^10 + 
     954*T1^6*T2^10 + 3699*T1^7*T2^10 - 6226*T1^8*T2^10 + 3699*T1^9*T2^10 + 
     954*T1^10*T2^10 - 1908*T1^11*T2^10 + 704*T1^12*T2^10 - 312*T1^5*T2^11 + 
     1208*T1^6*T2^11 - 1908*T1^7*T2^11 + 936*T1^8*T2^11 + 936*T1^9*T2^11 - 
     1908*T1^10*T2^11 + 1208*T1^11*T2^11 - 312*T1^12*T2^11 + 64*T1^6*T2^12 - 
     312*T1^7*T2^12 + 704*T1^8*T2^12 - 896*T1^9*T2^12 + 704*T1^10*T2^12 - 
     312*T1^11*T2^12 + 64*T1^12*T2^12)/(T1^6*T2^6)}, 
 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), -((25 - 111*T1 + 232*T1^2 - 353*T1^3 + 401*T1^4 - 353*T1^5 + 
      232*T1^6 - 111*T1^7 + 25*T1^8 - 111*T2 + 382*T1*T2 - 538*T1^2*T2 + 
      538*T1^3*T2 - 214*T1^4*T2 - 214*T1^5*T2 + 538*T1^6*T2 - 538*T1^7*T2 + 
      382*T1^8*T2 - 111*T1^9*T2 + 232*T2^2 - 538*T1*T2^2 + 195*T1^2*T2^2 + 
      307*T1^3*T2^2 - 1158*T1^4*T2^2 + 1455*T1^5*T2^2 - 1158*T1^6*T2^2 + 
      307*T1^7*T2^2 + 195*T1^8*T2^2 - 538*T1^9*T2^2 + 232*T1^10*T2^2 - 
      353*T2^3 + 538*T1*T2^3 + 307*T1^2*T2^3 - 554*T1^3*T2^3 + 
      1087*T1^4*T2^3 - 388*T1^5*T2^3 - 388*T1^6*T2^3 + 1087*T1^7*T2^3 - 
      554*T1^8*T2^3 + 307*T1^9*T2^3 + 538*T1^10*T2^3 - 353*T1^11*T2^3 + 
      401*T2^4 - 214*T1*T2^4 - 1158*T1^2*T2^4 + 1087*T1^3*T2^4 - 
      1959*T1^4*T2^4 + 1135*T1^5*T2^4 - 1209*T1^6*T2^4 + 1135*T1^7*T2^4 - 
      1959*T1^8*T2^4 + 1087*T1^9*T2^4 - 1158*T1^10*T2^4 - 214*T1^11*T2^4 + 
      401*T1^12*T2^4 - 353*T2^5 - 214*T1*T2^5 + 1455*T1^2*T2^5 - 
      388*T1^3*T2^5 + 1135*T1^4*T2^5 + 420*T1^5*T2^5 + 138*T1^6*T2^5 + 
      138*T1^7*T2^5 + 420*T1^8*T2^5 + 1135*T1^9*T2^5 - 388*T1^10*T2^5 + 
      1455*T1^11*T2^5 - 214*T1^12*T2^5 - 353*T1^13*T2^5 + 232*T2^6 + 
      538*T1*T2^6 - 1158*T1^2*T2^6 - 388*T1^3*T2^6 - 1209*T1^4*T2^6 + 
      138*T1^5*T2^6 - 2193*T1^6*T2^6 + 1903*T1^7*T2^6 - 2193*T1^8*T2^6 + 
      138*T1^9*T2^6 - 1209*T1^10*T2^6 - 388*T1^11*T2^6 - 1158*T1^12*T2^6 + 
      538*T1^13*T2^6 + 232*T1^14*T2^6 - 111*T2^7 - 538*T1*T2^7 + 
      307*T1^2*T2^7 + 1087*T1^3*T2^7 + 1135*T1^4*T2^7 + 138*T1^5*T2^7 + 
      1903*T1^6*T2^7 - 164*T1^7*T2^7 - 164*T1^8*T2^7 + 1903*T1^9*T2^7 + 
      138*T1^10*T2^7 + 1135*T1^11*T2^7 + 1087*T1^12*T2^7 + 307*T1^13*T2^7 - 
      538*T1^14*T2^7 - 111*T1^15*T2^7 + 25*T2^8 + 382*T1*T2^8 + 
      195*T1^2*T2^8 - 554*T1^3*T2^8 - 1959*T1^4*T2^8 + 420*T1^5*T2^8 - 
      2193*T1^6*T2^8 - 164*T1^7*T2^8 - 312*T1^8*T2^8 - 164*T1^9*T2^8 - 
      2193*T1^10*T2^8 + 420*T1^11*T2^8 - 1959*T1^12*T2^8 - 554*T1^13*T2^8 + 
      195*T1^14*T2^8 + 382*T1^15*T2^8 + 25*T1^16*T2^8 - 111*T1*T2^9 - 
      538*T1^2*T2^9 + 307*T1^3*T2^9 + 1087*T1^4*T2^9 + 1135*T1^5*T2^9 + 
      138*T1^6*T2^9 + 1903*T1^7*T2^9 - 164*T1^8*T2^9 - 164*T1^9*T2^9 + 
      1903*T1^10*T2^9 + 138*T1^11*T2^9 + 1135*T1^12*T2^9 + 1087*T1^13*T2^9 + 
      307*T1^14*T2^9 - 538*T1^15*T2^9 - 111*T1^16*T2^9 + 232*T1^2*T2^10 + 
      538*T1^3*T2^10 - 1158*T1^4*T2^10 - 388*T1^5*T2^10 - 1209*T1^6*T2^10 + 
      138*T1^7*T2^10 - 2193*T1^8*T2^10 + 1903*T1^9*T2^10 - 2193*T1^10*T2^10 + 
      138*T1^11*T2^10 - 1209*T1^12*T2^10 - 388*T1^13*T2^10 - 
      1158*T1^14*T2^10 + 538*T1^15*T2^10 + 232*T1^16*T2^10 - 353*T1^3*T2^11 - 
      214*T1^4*T2^11 + 1455*T1^5*T2^11 - 388*T1^6*T2^11 + 1135*T1^7*T2^11 + 
      420*T1^8*T2^11 + 138*T1^9*T2^11 + 138*T1^10*T2^11 + 420*T1^11*T2^11 + 
      1135*T1^12*T2^11 - 388*T1^13*T2^11 + 1455*T1^14*T2^11 - 
      214*T1^15*T2^11 - 353*T1^16*T2^11 + 401*T1^4*T2^12 - 214*T1^5*T2^12 - 
      1158*T1^6*T2^12 + 1087*T1^7*T2^12 - 1959*T1^8*T2^12 + 1135*T1^9*T2^12 - 
      1209*T1^10*T2^12 + 1135*T1^11*T2^12 - 1959*T1^12*T2^12 + 
      1087*T1^13*T2^12 - 1158*T1^14*T2^12 - 214*T1^15*T2^12 + 
      401*T1^16*T2^12 - 353*T1^5*T2^13 + 538*T1^6*T2^13 + 307*T1^7*T2^13 - 
      554*T1^8*T2^13 + 1087*T1^9*T2^13 - 388*T1^10*T2^13 - 388*T1^11*T2^13 + 
      1087*T1^12*T2^13 - 554*T1^13*T2^13 + 307*T1^14*T2^13 + 
      538*T1^15*T2^13 - 353*T1^16*T2^13 + 232*T1^6*T2^14 - 538*T1^7*T2^14 + 
      195*T1^8*T2^14 + 307*T1^9*T2^14 - 1158*T1^10*T2^14 + 1455*T1^11*T2^14 - 
      1158*T1^12*T2^14 + 307*T1^13*T2^14 + 195*T1^14*T2^14 - 
      538*T1^15*T2^14 + 232*T1^16*T2^14 - 111*T1^7*T2^15 + 382*T1^8*T2^15 - 
      538*T1^9*T2^15 + 538*T1^10*T2^15 - 214*T1^11*T2^15 - 214*T1^12*T2^15 + 
      538*T1^13*T2^15 - 538*T1^14*T2^15 + 382*T1^15*T2^15 - 111*T1^16*T2^15 + 
      25*T1^8*T2^16 - 111*T1^9*T2^16 + 232*T1^10*T2^16 - 353*T1^11*T2^16 + 
      401*T1^12*T2^16 - 353*T1^13*T2^16 + 232*T1^14*T2^16 - 111*T1^15*T2^16 + 
      25*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 947] -> 
  {-((4 - 18*T + 35*T^2 - 43*T^3 + 35*T^4 - 18*T^5 + 4*T^6)/T^3), 
   -((144 - 640*T1 + 1232*T1^2 - 1512*T1^3 + 1232*T1^4 - 640*T1^5 + 
      144*T1^6 - 640*T2 + 2206*T1*T2 - 2634*T1^2*T2 + 1244*T1^3*T2 + 
      1244*T1^4*T2 - 2634*T1^5*T2 + 2206*T1^6*T2 - 640*T1^7*T2 + 1232*T2^2 - 
      2634*T1*T2^2 - 909*T1^2*T2^2 + 6168*T1^3*T2^2 - 9111*T1^4*T2^2 + 
      6168*T1^5*T2^2 - 909*T1^6*T2^2 - 2634*T1^7*T2^2 + 1232*T1^8*T2^2 - 
      1512*T2^3 + 1244*T1*T2^3 + 6168*T1^2*T2^3 - 9054*T1^3*T2^3 + 
      4883*T1^4*T2^3 + 4883*T1^5*T2^3 - 9054*T1^6*T2^3 + 6168*T1^7*T2^3 + 
      1244*T1^8*T2^3 - 1512*T1^9*T2^3 + 1232*T2^4 + 1244*T1*T2^4 - 
      9111*T1^2*T2^4 + 4883*T1^3*T2^4 + 3885*T1^4*T2^4 - 10407*T1^5*T2^4 + 
      3885*T1^6*T2^4 + 4883*T1^7*T2^4 - 9111*T1^8*T2^4 + 1244*T1^9*T2^4 + 
      1232*T1^10*T2^4 - 640*T2^5 - 2634*T1*T2^5 + 6168*T1^2*T2^5 + 
      4883*T1^3*T2^5 - 10407*T1^4*T2^5 + 6848*T1^5*T2^5 + 6848*T1^6*T2^5 - 
      10407*T1^7*T2^5 + 4883*T1^8*T2^5 + 6168*T1^9*T2^5 - 2634*T1^10*T2^5 - 
      640*T1^11*T2^5 + 144*T2^6 + 2206*T1*T2^6 - 909*T1^2*T2^6 - 
      9054*T1^3*T2^6 + 3885*T1^4*T2^6 + 6848*T1^5*T2^6 - 15576*T1^6*T2^6 + 
      6848*T1^7*T2^6 + 3885*T1^8*T2^6 - 9054*T1^9*T2^6 - 909*T1^10*T2^6 + 
      2206*T1^11*T2^6 + 144*T1^12*T2^6 - 640*T1*T2^7 - 2634*T1^2*T2^7 + 
      6168*T1^3*T2^7 + 4883*T1^4*T2^7 - 10407*T1^5*T2^7 + 6848*T1^6*T2^7 + 
      6848*T1^7*T2^7 - 10407*T1^8*T2^7 + 4883*T1^9*T2^7 + 6168*T1^10*T2^7 - 
      2634*T1^11*T2^7 - 640*T1^12*T2^7 + 1232*T1^2*T2^8 + 1244*T1^3*T2^8 - 
      9111*T1^4*T2^8 + 4883*T1^5*T2^8 + 3885*T1^6*T2^8 - 10407*T1^7*T2^8 + 
      3885*T1^8*T2^8 + 4883*T1^9*T2^8 - 9111*T1^10*T2^8 + 1244*T1^11*T2^8 + 
      1232*T1^12*T2^8 - 1512*T1^3*T2^9 + 1244*T1^4*T2^9 + 6168*T1^5*T2^9 - 
      9054*T1^6*T2^9 + 4883*T1^7*T2^9 + 4883*T1^8*T2^9 - 9054*T1^9*T2^9 + 
      6168*T1^10*T2^9 + 1244*T1^11*T2^9 - 1512*T1^12*T2^9 + 1232*T1^4*T2^10 - 
      2634*T1^5*T2^10 - 909*T1^6*T2^10 + 6168*T1^7*T2^10 - 9111*T1^8*T2^10 + 
      6168*T1^9*T2^10 - 909*T1^10*T2^10 - 2634*T1^11*T2^10 + 
      1232*T1^12*T2^10 - 640*T1^5*T2^11 + 2206*T1^6*T2^11 - 2634*T1^7*T2^11 + 
      1244*T1^8*T2^11 + 1244*T1^9*T2^11 - 2634*T1^10*T2^11 + 
      2206*T1^11*T2^11 - 640*T1^12*T2^11 + 144*T1^6*T2^12 - 640*T1^7*T2^12 + 
      1232*T1^8*T2^12 - 1512*T1^9*T2^12 + 1232*T1^10*T2^12 - 
      640*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), -((1 - 9*T1 + 29*T1^2 - 54*T1^3 + 65*T1^4 - 54*T1^5 + 29*T1^6 - 
      9*T1^7 + T1^8 - 9*T2 + 72*T1*T2 - 180*T1^2*T2 + 225*T1^3*T2 - 
      99*T1^4*T2 - 99*T1^5*T2 + 225*T1^6*T2 - 180*T1^7*T2 + 72*T1^8*T2 - 
      9*T1^9*T2 + 29*T2^2 - 180*T1*T2^2 + 142*T1^2*T2^2 + 518*T1^3*T2^2 - 
      1630*T1^4*T2^2 + 2106*T1^5*T2^2 - 1630*T1^6*T2^2 + 518*T1^7*T2^2 + 
      142*T1^8*T2^2 - 180*T1^9*T2^2 + 29*T1^10*T2^2 - 54*T2^3 + 225*T1*T2^3 + 
      518*T1^2*T2^3 - 2380*T1^3*T2^3 + 3524*T1^4*T2^3 - 1541*T1^5*T2^3 - 
      1541*T1^6*T2^3 + 3524*T1^7*T2^3 - 2380*T1^8*T2^3 + 518*T1^9*T2^3 + 
      225*T1^10*T2^3 - 54*T1^11*T2^3 + 65*T2^4 - 99*T1*T2^4 - 
      1630*T1^2*T2^4 + 3524*T1^3*T2^4 - 1644*T1^4*T2^4 - 4678*T1^5*T2^4 + 
      7276*T1^6*T2^4 - 4678*T1^7*T2^4 - 1644*T1^8*T2^4 + 3524*T1^9*T2^4 - 
      1630*T1^10*T2^4 - 99*T1^11*T2^4 + 65*T1^12*T2^4 - 54*T2^5 - 
      99*T1*T2^5 + 2106*T1^2*T2^5 - 1541*T1^3*T2^5 - 4678*T1^4*T2^5 + 
      10848*T1^5*T2^5 - 4912*T1^6*T2^5 - 4912*T1^7*T2^5 + 10848*T1^8*T2^5 - 
      4678*T1^9*T2^5 - 1541*T1^10*T2^5 + 2106*T1^11*T2^5 - 99*T1^12*T2^5 - 
      54*T1^13*T2^5 + 29*T2^6 + 225*T1*T2^6 - 1630*T1^2*T2^6 - 
      1541*T1^3*T2^6 + 7276*T1^4*T2^6 - 4912*T1^5*T2^6 - 10743*T1^6*T2^6 + 
      17387*T1^7*T2^6 - 10743*T1^8*T2^6 - 4912*T1^9*T2^6 + 7276*T1^10*T2^6 - 
      1541*T1^11*T2^6 - 1630*T1^12*T2^6 + 225*T1^13*T2^6 + 29*T1^14*T2^6 - 
      9*T2^7 - 180*T1*T2^7 + 518*T1^2*T2^7 + 3524*T1^3*T2^7 - 
      4678*T1^4*T2^7 - 4912*T1^5*T2^7 + 17387*T1^6*T2^7 - 8350*T1^7*T2^7 - 
      8350*T1^8*T2^7 + 17387*T1^9*T2^7 - 4912*T1^10*T2^7 - 4678*T1^11*T2^7 + 
      3524*T1^12*T2^7 + 518*T1^13*T2^7 - 180*T1^14*T2^7 - 9*T1^15*T2^7 + 
      T2^8 + 72*T1*T2^8 + 142*T1^2*T2^8 - 2380*T1^3*T2^8 - 1644*T1^4*T2^8 + 
      10848*T1^5*T2^8 - 10743*T1^6*T2^8 - 8350*T1^7*T2^8 + 17004*T1^8*T2^8 - 
      8350*T1^9*T2^8 - 10743*T1^10*T2^8 + 10848*T1^11*T2^8 - 
      1644*T1^12*T2^8 - 2380*T1^13*T2^8 + 142*T1^14*T2^8 + 72*T1^15*T2^8 + 
      T1^16*T2^8 - 9*T1*T2^9 - 180*T1^2*T2^9 + 518*T1^3*T2^9 + 
      3524*T1^4*T2^9 - 4678*T1^5*T2^9 - 4912*T1^6*T2^9 + 17387*T1^7*T2^9 - 
      8350*T1^8*T2^9 - 8350*T1^9*T2^9 + 17387*T1^10*T2^9 - 4912*T1^11*T2^9 - 
      4678*T1^12*T2^9 + 3524*T1^13*T2^9 + 518*T1^14*T2^9 - 180*T1^15*T2^9 - 
      9*T1^16*T2^9 + 29*T1^2*T2^10 + 225*T1^3*T2^10 - 1630*T1^4*T2^10 - 
      1541*T1^5*T2^10 + 7276*T1^6*T2^10 - 4912*T1^7*T2^10 - 
      10743*T1^8*T2^10 + 17387*T1^9*T2^10 - 10743*T1^10*T2^10 - 
      4912*T1^11*T2^10 + 7276*T1^12*T2^10 - 1541*T1^13*T2^10 - 
      1630*T1^14*T2^10 + 225*T1^15*T2^10 + 29*T1^16*T2^10 - 54*T1^3*T2^11 - 
      99*T1^4*T2^11 + 2106*T1^5*T2^11 - 1541*T1^6*T2^11 - 4678*T1^7*T2^11 + 
      10848*T1^8*T2^11 - 4912*T1^9*T2^11 - 4912*T1^10*T2^11 + 
      10848*T1^11*T2^11 - 4678*T1^12*T2^11 - 1541*T1^13*T2^11 + 
      2106*T1^14*T2^11 - 99*T1^15*T2^11 - 54*T1^16*T2^11 + 65*T1^4*T2^12 - 
      99*T1^5*T2^12 - 1630*T1^6*T2^12 + 3524*T1^7*T2^12 - 1644*T1^8*T2^12 - 
      4678*T1^9*T2^12 + 7276*T1^10*T2^12 - 4678*T1^11*T2^12 - 
      1644*T1^12*T2^12 + 3524*T1^13*T2^12 - 1630*T1^14*T2^12 - 
      99*T1^15*T2^12 + 65*T1^16*T2^12 - 54*T1^5*T2^13 + 225*T1^6*T2^13 + 
      518*T1^7*T2^13 - 2380*T1^8*T2^13 + 3524*T1^9*T2^13 - 1541*T1^10*T2^13 - 
      1541*T1^11*T2^13 + 3524*T1^12*T2^13 - 2380*T1^13*T2^13 + 
      518*T1^14*T2^13 + 225*T1^15*T2^13 - 54*T1^16*T2^13 + 29*T1^6*T2^14 - 
      180*T1^7*T2^14 + 142*T1^8*T2^14 + 518*T1^9*T2^14 - 1630*T1^10*T2^14 + 
      2106*T1^11*T2^14 - 1630*T1^12*T2^14 + 518*T1^13*T2^14 + 
      142*T1^14*T2^14 - 180*T1^15*T2^14 + 29*T1^16*T2^14 - 9*T1^7*T2^15 + 
      72*T1^8*T2^15 - 180*T1^9*T2^15 + 225*T1^10*T2^15 - 99*T1^11*T2^15 - 
      99*T1^12*T2^15 + 225*T1^13*T2^15 - 180*T1^14*T2^15 + 72*T1^15*T2^15 - 
      9*T1^16*T2^15 + T1^8*T2^16 - 9*T1^9*T2^16 + 29*T1^10*T2^16 - 
      54*T1^11*T2^16 + 65*T1^12*T2^16 - 54*T1^13*T2^16 + 29*T1^14*T2^16 - 
      9*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 949] -> 
  {-(((1 - T + T^2)^2*(2 - 6*T + 7*T^2 - 6*T^3 + 2*T^4))/T^4), 
   -((9 - 44*T1 + 108*T1^2 - 180*T1^3 + 209*T1^4 - 180*T1^5 + 108*T1^6 - 
      44*T1^7 + 9*T1^8 - 44*T2 + 172*T1*T2 - 315*T1^2*T2 + 354*T1^3*T2 - 
      143*T1^4*T2 - 143*T1^5*T2 + 354*T1^6*T2 - 315*T1^7*T2 + 172*T1^8*T2 - 
      44*T1^9*T2 + 108*T2^2 - 315*T1*T2^2 + 351*T1^2*T2^2 - 84*T1^3*T2^2 - 
      568*T1^4*T2^2 + 781*T1^5*T2^2 - 568*T1^6*T2^2 - 84*T1^7*T2^2 + 
      351*T1^8*T2^2 - 315*T1^9*T2^2 + 108*T1^10*T2^2 - 180*T2^3 + 
      354*T1*T2^3 - 84*T1^2*T2^3 - 442*T1^3*T2^3 + 1163*T1^4*T2^3 - 
      426*T1^5*T2^3 - 426*T1^6*T2^3 + 1163*T1^7*T2^3 - 442*T1^8*T2^3 - 
      84*T1^9*T2^3 + 354*T1^10*T2^3 - 180*T1^11*T2^3 + 209*T2^4 - 
      143*T1*T2^4 - 568*T1^2*T2^4 + 1163*T1^3*T2^4 - 1589*T1^4*T2^4 - 
      377*T1^5*T2^4 + 765*T1^6*T2^4 - 377*T1^7*T2^4 - 1589*T1^8*T2^4 + 
      1163*T1^9*T2^4 - 568*T1^10*T2^4 - 143*T1^11*T2^4 + 209*T1^12*T2^4 - 
      180*T2^5 - 143*T1*T2^5 + 781*T1^2*T2^5 - 426*T1^3*T2^5 - 
      377*T1^4*T2^5 + 3184*T1^5*T2^5 - 1132*T1^6*T2^5 - 1132*T1^7*T2^5 + 
      3184*T1^8*T2^5 - 377*T1^9*T2^5 - 426*T1^10*T2^5 + 781*T1^11*T2^5 - 
      143*T1^12*T2^5 - 180*T1^13*T2^5 + 108*T2^6 + 354*T1*T2^6 - 
      568*T1^2*T2^6 - 426*T1^3*T2^6 + 765*T1^4*T2^6 - 1132*T1^5*T2^6 - 
      4958*T1^6*T2^6 + 6608*T1^7*T2^6 - 4958*T1^8*T2^6 - 1132*T1^9*T2^6 + 
      765*T1^10*T2^6 - 426*T1^11*T2^6 - 568*T1^12*T2^6 + 354*T1^13*T2^6 + 
      108*T1^14*T2^6 - 44*T2^7 - 315*T1*T2^7 - 84*T1^2*T2^7 + 
      1163*T1^3*T2^7 - 377*T1^4*T2^7 - 1132*T1^5*T2^7 + 6608*T1^6*T2^7 - 
      2622*T1^7*T2^7 - 2622*T1^8*T2^7 + 6608*T1^9*T2^7 - 1132*T1^10*T2^7 - 
      377*T1^11*T2^7 + 1163*T1^12*T2^7 - 84*T1^13*T2^7 - 315*T1^14*T2^7 - 
      44*T1^15*T2^7 + 9*T2^8 + 172*T1*T2^8 + 351*T1^2*T2^8 - 442*T1^3*T2^8 - 
      1589*T1^4*T2^8 + 3184*T1^5*T2^8 - 4958*T1^6*T2^8 - 2622*T1^7*T2^8 + 
      4920*T1^8*T2^8 - 2622*T1^9*T2^8 - 4958*T1^10*T2^8 + 3184*T1^11*T2^8 - 
      1589*T1^12*T2^8 - 442*T1^13*T2^8 + 351*T1^14*T2^8 + 172*T1^15*T2^8 + 
      9*T1^16*T2^8 - 44*T1*T2^9 - 315*T1^2*T2^9 - 84*T1^3*T2^9 + 
      1163*T1^4*T2^9 - 377*T1^5*T2^9 - 1132*T1^6*T2^9 + 6608*T1^7*T2^9 - 
      2622*T1^8*T2^9 - 2622*T1^9*T2^9 + 6608*T1^10*T2^9 - 1132*T1^11*T2^9 - 
      377*T1^12*T2^9 + 1163*T1^13*T2^9 - 84*T1^14*T2^9 - 315*T1^15*T2^9 - 
      44*T1^16*T2^9 + 108*T1^2*T2^10 + 354*T1^3*T2^10 - 568*T1^4*T2^10 - 
      426*T1^5*T2^10 + 765*T1^6*T2^10 - 1132*T1^7*T2^10 - 4958*T1^8*T2^10 + 
      6608*T1^9*T2^10 - 4958*T1^10*T2^10 - 1132*T1^11*T2^10 + 
      765*T1^12*T2^10 - 426*T1^13*T2^10 - 568*T1^14*T2^10 + 354*T1^15*T2^10 + 
      108*T1^16*T2^10 - 180*T1^3*T2^11 - 143*T1^4*T2^11 + 781*T1^5*T2^11 - 
      426*T1^6*T2^11 - 377*T1^7*T2^11 + 3184*T1^8*T2^11 - 1132*T1^9*T2^11 - 
      1132*T1^10*T2^11 + 3184*T1^11*T2^11 - 377*T1^12*T2^11 - 
      426*T1^13*T2^11 + 781*T1^14*T2^11 - 143*T1^15*T2^11 - 180*T1^16*T2^11 + 
      209*T1^4*T2^12 - 143*T1^5*T2^12 - 568*T1^6*T2^12 + 1163*T1^7*T2^12 - 
      1589*T1^8*T2^12 - 377*T1^9*T2^12 + 765*T1^10*T2^12 - 377*T1^11*T2^12 - 
      1589*T1^12*T2^12 + 1163*T1^13*T2^12 - 568*T1^14*T2^12 - 
      143*T1^15*T2^12 + 209*T1^16*T2^12 - 180*T1^5*T2^13 + 354*T1^6*T2^13 - 
      84*T1^7*T2^13 - 442*T1^8*T2^13 + 1163*T1^9*T2^13 - 426*T1^10*T2^13 - 
      426*T1^11*T2^13 + 1163*T1^12*T2^13 - 442*T1^13*T2^13 - 84*T1^14*T2^13 + 
      354*T1^15*T2^13 - 180*T1^16*T2^13 + 108*T1^6*T2^14 - 315*T1^7*T2^14 + 
      351*T1^8*T2^14 - 84*T1^9*T2^14 - 568*T1^10*T2^14 + 781*T1^11*T2^14 - 
      568*T1^12*T2^14 - 84*T1^13*T2^14 + 351*T1^14*T2^14 - 315*T1^15*T2^14 + 
      108*T1^16*T2^14 - 44*T1^7*T2^15 + 172*T1^8*T2^15 - 315*T1^9*T2^15 + 
      354*T1^10*T2^15 - 143*T1^11*T2^15 - 143*T1^12*T2^15 + 354*T1^13*T2^15 - 
      315*T1^14*T2^15 + 172*T1^15*T2^15 - 44*T1^16*T2^15 + 9*T1^8*T2^16 - 
      44*T1^9*T2^16 + 108*T1^10*T2^16 - 180*T1^11*T2^16 + 209*T1^12*T2^16 - 
      180*T1^13*T2^16 + 108*T1^14*T2^16 - 44*T1^15*T2^16 + 9*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 950] -> 
  {-((4 - 20*T + 45*T^2 - 59*T^3 + 45*T^4 - 20*T^5 + 4*T^6)/T^3), 
   (-2*(8 - 38*T1 + 84*T1^2 - 112*T1^3 + 84*T1^4 - 38*T1^5 + 8*T1^6 - 38*T2 + 
      144*T1*T2 - 221*T1^2*T2 + 134*T1^3*T2 + 134*T1^4*T2 - 221*T1^5*T2 + 
      144*T1^6*T2 - 38*T1^7*T2 + 84*T2^2 - 221*T1*T2^2 + 132*T1^2*T2^2 + 
      220*T1^3*T2^2 - 620*T1^4*T2^2 + 220*T1^5*T2^2 + 132*T1^6*T2^2 - 
      221*T1^7*T2^2 + 84*T1^8*T2^2 - 112*T2^3 + 134*T1*T2^3 + 220*T1^2*T2^3 - 
      501*T1^3*T2^3 + 578*T1^4*T2^3 + 578*T1^5*T2^3 - 501*T1^6*T2^3 + 
      220*T1^7*T2^3 + 134*T1^8*T2^3 - 112*T1^9*T2^3 + 84*T2^4 + 134*T1*T2^4 - 
      620*T1^2*T2^4 + 578*T1^3*T2^4 - 529*T1^4*T2^4 - 790*T1^5*T2^4 - 
      529*T1^6*T2^4 + 578*T1^7*T2^4 - 620*T1^8*T2^4 + 134*T1^9*T2^4 + 
      84*T1^10*T2^4 - 38*T2^5 - 221*T1*T2^5 + 220*T1^2*T2^5 + 578*T1^3*T2^5 - 
      790*T1^4*T2^5 + 1489*T1^5*T2^5 + 1489*T1^6*T2^5 - 790*T1^7*T2^5 + 
      578*T1^8*T2^5 + 220*T1^9*T2^5 - 221*T1^10*T2^5 - 38*T1^11*T2^5 + 
      8*T2^6 + 144*T1*T2^6 + 132*T1^2*T2^6 - 501*T1^3*T2^6 - 529*T1^4*T2^6 + 
      1489*T1^5*T2^6 - 4410*T1^6*T2^6 + 1489*T1^7*T2^6 - 529*T1^8*T2^6 - 
      501*T1^9*T2^6 + 132*T1^10*T2^6 + 144*T1^11*T2^6 + 8*T1^12*T2^6 - 
      38*T1*T2^7 - 221*T1^2*T2^7 + 220*T1^3*T2^7 + 578*T1^4*T2^7 - 
      790*T1^5*T2^7 + 1489*T1^6*T2^7 + 1489*T1^7*T2^7 - 790*T1^8*T2^7 + 
      578*T1^9*T2^7 + 220*T1^10*T2^7 - 221*T1^11*T2^7 - 38*T1^12*T2^7 + 
      84*T1^2*T2^8 + 134*T1^3*T2^8 - 620*T1^4*T2^8 + 578*T1^5*T2^8 - 
      529*T1^6*T2^8 - 790*T1^7*T2^8 - 529*T1^8*T2^8 + 578*T1^9*T2^8 - 
      620*T1^10*T2^8 + 134*T1^11*T2^8 + 84*T1^12*T2^8 - 112*T1^3*T2^9 + 
      134*T1^4*T2^9 + 220*T1^5*T2^9 - 501*T1^6*T2^9 + 578*T1^7*T2^9 + 
      578*T1^8*T2^9 - 501*T1^9*T2^9 + 220*T1^10*T2^9 + 134*T1^11*T2^9 - 
      112*T1^12*T2^9 + 84*T1^4*T2^10 - 221*T1^5*T2^10 + 132*T1^6*T2^10 + 
      220*T1^7*T2^10 - 620*T1^8*T2^10 + 220*T1^9*T2^10 + 132*T1^10*T2^10 - 
      221*T1^11*T2^10 + 84*T1^12*T2^10 - 38*T1^5*T2^11 + 144*T1^6*T2^11 - 
      221*T1^7*T2^11 + 134*T1^8*T2^11 + 134*T1^9*T2^11 - 221*T1^10*T2^11 + 
      144*T1^11*T2^11 - 38*T1^12*T2^11 + 8*T1^6*T2^12 - 38*T1^7*T2^12 + 
      84*T1^8*T2^12 - 112*T1^9*T2^12 + 84*T1^10*T2^12 - 38*T1^11*T2^12 + 
      8*T1^12*T2^12))/(T1^6*T2^6)}, 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), (1 - 9*T1 + 32*T1^2 - 65*T1^3 + 81*T1^4 - 65*T1^5 + 32*T1^6 - 
     9*T1^7 + T1^8 - 9*T2 + 72*T1*T2 - 206*T1^2*T2 + 295*T1^3*T2 - 
     143*T1^4*T2 - 143*T1^5*T2 + 295*T1^6*T2 - 206*T1^7*T2 + 72*T1^8*T2 - 
     9*T1^9*T2 + 32*T2^2 - 206*T1*T2^2 + 325*T1^2*T2^2 + 203*T1^3*T2^2 - 
     1570*T1^4*T2^2 + 2293*T1^5*T2^2 - 1570*T1^6*T2^2 + 203*T1^7*T2^2 + 
     325*T1^8*T2^2 - 206*T1^9*T2^2 + 32*T1^10*T2^2 - 65*T2^3 + 295*T1*T2^3 + 
     203*T1^2*T2^3 - 2338*T1^3*T2^3 + 4568*T1^4*T2^3 - 2346*T1^5*T2^3 - 
     2346*T1^6*T2^3 + 4568*T1^7*T2^3 - 2338*T1^8*T2^3 + 203*T1^9*T2^3 + 
     295*T1^10*T2^3 - 65*T1^11*T2^3 + 81*T2^4 - 143*T1*T2^4 - 
     1570*T1^2*T2^4 + 4568*T1^3*T2^4 - 3486*T1^4*T2^4 - 6422*T1^5*T2^4 + 
     12000*T1^6*T2^4 - 6422*T1^7*T2^4 - 3486*T1^8*T2^4 + 4568*T1^9*T2^4 - 
     1570*T1^10*T2^4 - 143*T1^11*T2^4 + 81*T1^12*T2^4 - 65*T2^5 - 
     143*T1*T2^5 + 2293*T1^2*T2^5 - 2346*T1^3*T2^5 - 6422*T1^4*T2^5 + 
     19450*T1^5*T2^5 - 10612*T1^6*T2^5 - 10612*T1^7*T2^5 + 19450*T1^8*T2^5 - 
     6422*T1^9*T2^5 - 2346*T1^10*T2^5 + 2293*T1^11*T2^5 - 143*T1^12*T2^5 - 
     65*T1^13*T2^5 + 32*T2^6 + 295*T1*T2^6 - 1570*T1^2*T2^6 - 
     2346*T1^3*T2^6 + 12000*T1^4*T2^6 - 10612*T1^5*T2^6 - 21244*T1^6*T2^6 + 
     39604*T1^7*T2^6 - 21244*T1^8*T2^6 - 10612*T1^9*T2^6 + 12000*T1^10*T2^6 - 
     2346*T1^11*T2^6 - 1570*T1^12*T2^6 + 295*T1^13*T2^6 + 32*T1^14*T2^6 - 
     9*T2^7 - 206*T1*T2^7 + 203*T1^2*T2^7 + 4568*T1^3*T2^7 - 6422*T1^4*T2^7 - 
     10612*T1^5*T2^7 + 39604*T1^6*T2^7 - 22232*T1^7*T2^7 - 22232*T1^8*T2^7 + 
     39604*T1^9*T2^7 - 10612*T1^10*T2^7 - 6422*T1^11*T2^7 + 4568*T1^12*T2^7 + 
     203*T1^13*T2^7 - 206*T1^14*T2^7 - 9*T1^15*T2^7 + T2^8 + 72*T1*T2^8 + 
     325*T1^2*T2^8 - 2338*T1^3*T2^8 - 3486*T1^4*T2^8 + 19450*T1^5*T2^8 - 
     21244*T1^6*T2^8 - 22232*T1^7*T2^8 + 48144*T1^8*T2^8 - 22232*T1^9*T2^8 - 
     21244*T1^10*T2^8 + 19450*T1^11*T2^8 - 3486*T1^12*T2^8 - 
     2338*T1^13*T2^8 + 325*T1^14*T2^8 + 72*T1^15*T2^8 + T1^16*T2^8 - 
     9*T1*T2^9 - 206*T1^2*T2^9 + 203*T1^3*T2^9 + 4568*T1^4*T2^9 - 
     6422*T1^5*T2^9 - 10612*T1^6*T2^9 + 39604*T1^7*T2^9 - 22232*T1^8*T2^9 - 
     22232*T1^9*T2^9 + 39604*T1^10*T2^9 - 10612*T1^11*T2^9 - 
     6422*T1^12*T2^9 + 4568*T1^13*T2^9 + 203*T1^14*T2^9 - 206*T1^15*T2^9 - 
     9*T1^16*T2^9 + 32*T1^2*T2^10 + 295*T1^3*T2^10 - 1570*T1^4*T2^10 - 
     2346*T1^5*T2^10 + 12000*T1^6*T2^10 - 10612*T1^7*T2^10 - 
     21244*T1^8*T2^10 + 39604*T1^9*T2^10 - 21244*T1^10*T2^10 - 
     10612*T1^11*T2^10 + 12000*T1^12*T2^10 - 2346*T1^13*T2^10 - 
     1570*T1^14*T2^10 + 295*T1^15*T2^10 + 32*T1^16*T2^10 - 65*T1^3*T2^11 - 
     143*T1^4*T2^11 + 2293*T1^5*T2^11 - 2346*T1^6*T2^11 - 6422*T1^7*T2^11 + 
     19450*T1^8*T2^11 - 10612*T1^9*T2^11 - 10612*T1^10*T2^11 + 
     19450*T1^11*T2^11 - 6422*T1^12*T2^11 - 2346*T1^13*T2^11 + 
     2293*T1^14*T2^11 - 143*T1^15*T2^11 - 65*T1^16*T2^11 + 81*T1^4*T2^12 - 
     143*T1^5*T2^12 - 1570*T1^6*T2^12 + 4568*T1^7*T2^12 - 3486*T1^8*T2^12 - 
     6422*T1^9*T2^12 + 12000*T1^10*T2^12 - 6422*T1^11*T2^12 - 
     3486*T1^12*T2^12 + 4568*T1^13*T2^12 - 1570*T1^14*T2^12 - 
     143*T1^15*T2^12 + 81*T1^16*T2^12 - 65*T1^5*T2^13 + 295*T1^6*T2^13 + 
     203*T1^7*T2^13 - 2338*T1^8*T2^13 + 4568*T1^9*T2^13 - 2346*T1^10*T2^13 - 
     2346*T1^11*T2^13 + 4568*T1^12*T2^13 - 2338*T1^13*T2^13 + 
     203*T1^14*T2^13 + 295*T1^15*T2^13 - 65*T1^16*T2^13 + 32*T1^6*T2^14 - 
     206*T1^7*T2^14 + 325*T1^8*T2^14 + 203*T1^9*T2^14 - 1570*T1^10*T2^14 + 
     2293*T1^11*T2^14 - 1570*T1^12*T2^14 + 203*T1^13*T2^14 + 
     325*T1^14*T2^14 - 206*T1^15*T2^14 + 32*T1^16*T2^14 - 9*T1^7*T2^15 + 
     72*T1^8*T2^15 - 206*T1^9*T2^15 + 295*T1^10*T2^15 - 143*T1^11*T2^15 - 
     143*T1^12*T2^15 + 295*T1^13*T2^15 - 206*T1^14*T2^15 + 72*T1^15*T2^15 - 
     9*T1^16*T2^15 + T1^8*T2^16 - 9*T1^9*T2^16 + 32*T1^10*T2^16 - 
     65*T1^11*T2^16 + 81*T1^12*T2^16 - 65*T1^13*T2^16 + 32*T1^14*T2^16 - 
     9*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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), 
   -((25 - 111*T1 + 208*T1^2 - 269*T1^3 + 281*T1^4 - 269*T1^5 + 208*T1^6 - 
      111*T1^7 + 25*T1^8 - 111*T2 + 382*T1*T2 - 431*T1^2*T2 + 270*T1^3*T2 - 
      53*T1^4*T2 - 53*T1^5*T2 + 270*T1^6*T2 - 431*T1^7*T2 + 382*T1^8*T2 - 
      111*T1^9*T2 + 208*T2^2 - 431*T1*T2^2 - 249*T1^2*T2^2 + 965*T1^3*T2^2 - 
      1276*T1^4*T2^2 + 1117*T1^5*T2^2 - 1276*T1^6*T2^2 + 965*T1^7*T2^2 - 
      249*T1^8*T2^2 - 431*T1^9*T2^2 + 208*T1^10*T2^2 - 269*T2^3 + 
      270*T1*T2^3 + 965*T1^2*T2^3 - 1106*T1^3*T2^3 + 554*T1^4*T2^3 + 
      144*T1^5*T2^3 + 144*T1^6*T2^3 + 554*T1^7*T2^3 - 1106*T1^8*T2^3 + 
      965*T1^9*T2^3 + 270*T1^10*T2^3 - 269*T1^11*T2^3 + 281*T2^4 - 
      53*T1*T2^4 - 1276*T1^2*T2^4 + 554*T1^3*T2^4 - 55*T1^4*T2^4 - 
      42*T1^5*T2^4 - 869*T1^6*T2^4 - 42*T1^7*T2^4 - 55*T1^8*T2^4 + 
      554*T1^9*T2^4 - 1276*T1^10*T2^4 - 53*T1^11*T2^4 + 281*T1^12*T2^4 - 
      269*T2^5 - 53*T1*T2^5 + 1117*T1^2*T2^5 + 144*T1^3*T2^5 - 42*T1^4*T2^5 - 
      42*T1^5*T2^5 + 674*T1^6*T2^5 + 674*T1^7*T2^5 - 42*T1^8*T2^5 - 
      42*T1^9*T2^5 + 144*T1^10*T2^5 + 1117*T1^11*T2^5 - 53*T1^12*T2^5 - 
      269*T1^13*T2^5 + 208*T2^6 + 270*T1*T2^6 - 1276*T1^2*T2^6 + 
      144*T1^3*T2^6 - 869*T1^4*T2^6 + 674*T1^5*T2^6 - 1104*T1^6*T2^6 - 
      16*T1^7*T2^6 - 1104*T1^8*T2^6 + 674*T1^9*T2^6 - 869*T1^10*T2^6 + 
      144*T1^11*T2^6 - 1276*T1^12*T2^6 + 270*T1^13*T2^6 + 208*T1^14*T2^6 - 
      111*T2^7 - 431*T1*T2^7 + 965*T1^2*T2^7 + 554*T1^3*T2^7 - 42*T1^4*T2^7 + 
      674*T1^5*T2^7 - 16*T1^6*T2^7 + 650*T1^7*T2^7 + 650*T1^8*T2^7 - 
      16*T1^9*T2^7 + 674*T1^10*T2^7 - 42*T1^11*T2^7 + 554*T1^12*T2^7 + 
      965*T1^13*T2^7 - 431*T1^14*T2^7 - 111*T1^15*T2^7 + 25*T2^8 + 
      382*T1*T2^8 - 249*T1^2*T2^8 - 1106*T1^3*T2^8 - 55*T1^4*T2^8 - 
      42*T1^5*T2^8 - 1104*T1^6*T2^8 + 650*T1^7*T2^8 - 1680*T1^8*T2^8 + 
      650*T1^9*T2^8 - 1104*T1^10*T2^8 - 42*T1^11*T2^8 - 55*T1^12*T2^8 - 
      1106*T1^13*T2^8 - 249*T1^14*T2^8 + 382*T1^15*T2^8 + 25*T1^16*T2^8 - 
      111*T1*T2^9 - 431*T1^2*T2^9 + 965*T1^3*T2^9 + 554*T1^4*T2^9 - 
      42*T1^5*T2^9 + 674*T1^6*T2^9 - 16*T1^7*T2^9 + 650*T1^8*T2^9 + 
      650*T1^9*T2^9 - 16*T1^10*T2^9 + 674*T1^11*T2^9 - 42*T1^12*T2^9 + 
      554*T1^13*T2^9 + 965*T1^14*T2^9 - 431*T1^15*T2^9 - 111*T1^16*T2^9 + 
      208*T1^2*T2^10 + 270*T1^3*T2^10 - 1276*T1^4*T2^10 + 144*T1^5*T2^10 - 
      869*T1^6*T2^10 + 674*T1^7*T2^10 - 1104*T1^8*T2^10 - 16*T1^9*T2^10 - 
      1104*T1^10*T2^10 + 674*T1^11*T2^10 - 869*T1^12*T2^10 + 
      144*T1^13*T2^10 - 1276*T1^14*T2^10 + 270*T1^15*T2^10 + 
      208*T1^16*T2^10 - 269*T1^3*T2^11 - 53*T1^4*T2^11 + 1117*T1^5*T2^11 + 
      144*T1^6*T2^11 - 42*T1^7*T2^11 - 42*T1^8*T2^11 + 674*T1^9*T2^11 + 
      674*T1^10*T2^11 - 42*T1^11*T2^11 - 42*T1^12*T2^11 + 144*T1^13*T2^11 + 
      1117*T1^14*T2^11 - 53*T1^15*T2^11 - 269*T1^16*T2^11 + 281*T1^4*T2^12 - 
      53*T1^5*T2^12 - 1276*T1^6*T2^12 + 554*T1^7*T2^12 - 55*T1^8*T2^12 - 
      42*T1^9*T2^12 - 869*T1^10*T2^12 - 42*T1^11*T2^12 - 55*T1^12*T2^12 + 
      554*T1^13*T2^12 - 1276*T1^14*T2^12 - 53*T1^15*T2^12 + 281*T1^16*T2^12 - 
      269*T1^5*T2^13 + 270*T1^6*T2^13 + 965*T1^7*T2^13 - 1106*T1^8*T2^13 + 
      554*T1^9*T2^13 + 144*T1^10*T2^13 + 144*T1^11*T2^13 + 554*T1^12*T2^13 - 
      1106*T1^13*T2^13 + 965*T1^14*T2^13 + 270*T1^15*T2^13 - 
      269*T1^16*T2^13 + 208*T1^6*T2^14 - 431*T1^7*T2^14 - 249*T1^8*T2^14 + 
      965*T1^9*T2^14 - 1276*T1^10*T2^14 + 1117*T1^11*T2^14 - 
      1276*T1^12*T2^14 + 965*T1^13*T2^14 - 249*T1^14*T2^14 - 
      431*T1^15*T2^14 + 208*T1^16*T2^14 - 111*T1^7*T2^15 + 382*T1^8*T2^15 - 
      431*T1^9*T2^15 + 270*T1^10*T2^15 - 53*T1^11*T2^15 - 53*T1^12*T2^15 + 
      270*T1^13*T2^15 - 431*T1^14*T2^15 + 382*T1^15*T2^15 - 111*T1^16*T2^15 + 
      25*T1^8*T2^16 - 111*T1^9*T2^16 + 208*T1^10*T2^16 - 269*T1^11*T2^16 + 
      281*T1^12*T2^16 - 269*T1^13*T2^16 + 208*T1^14*T2^16 - 111*T1^15*T2^16 + 
      25*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 953] -> 
  {-((4 - 20*T + 42*T^2 - 53*T^3 + 42*T^4 - 20*T^5 + 4*T^6)/T^3), 
   -((144 - 704*T1 + 1456*T1^2 - 1832*T1^3 + 1456*T1^4 - 704*T1^5 + 
      144*T1^6 - 704*T2 + 2740*T1*T2 - 3684*T1^2*T2 + 1840*T1^3*T2 + 
      1840*T1^4*T2 - 3684*T1^5*T2 + 2740*T1^6*T2 - 704*T1^7*T2 + 1456*T2^2 - 
      3684*T1*T2^2 - 606*T1^2*T2^2 + 9223*T1^3*T2^2 - 14436*T1^4*T2^2 + 
      9223*T1^5*T2^2 - 606*T1^6*T2^2 - 3684*T1^7*T2^2 + 1456*T1^8*T2^2 - 
      1832*T2^3 + 1840*T1*T2^3 + 9223*T1^2*T2^3 - 16372*T1^3*T2^3 + 
      9351*T1^4*T2^3 + 9351*T1^5*T2^3 - 16372*T1^6*T2^3 + 9223*T1^7*T2^3 + 
      1840*T1^8*T2^3 - 1832*T1^9*T2^3 + 1456*T2^4 + 1840*T1*T2^4 - 
      14436*T1^2*T2^4 + 9351*T1^3*T2^4 + 9781*T1^4*T2^4 - 24299*T1^5*T2^4 + 
      9781*T1^6*T2^4 + 9351*T1^7*T2^4 - 14436*T1^8*T2^4 + 1840*T1^9*T2^4 + 
      1456*T1^10*T2^4 - 704*T2^5 - 3684*T1*T2^5 + 9223*T1^2*T2^5 + 
      9351*T1^3*T2^5 - 24299*T1^4*T2^5 + 16036*T1^5*T2^5 + 16036*T1^6*T2^5 - 
      24299*T1^7*T2^5 + 9351*T1^8*T2^5 + 9223*T1^9*T2^5 - 3684*T1^10*T2^5 - 
      704*T1^11*T2^5 + 144*T2^6 + 2740*T1*T2^6 - 606*T1^2*T2^6 - 
      16372*T1^3*T2^6 + 9781*T1^4*T2^6 + 16036*T1^5*T2^6 - 36720*T1^6*T2^6 + 
      16036*T1^7*T2^6 + 9781*T1^8*T2^6 - 16372*T1^9*T2^6 - 606*T1^10*T2^6 + 
      2740*T1^11*T2^6 + 144*T1^12*T2^6 - 704*T1*T2^7 - 3684*T1^2*T2^7 + 
      9223*T1^3*T2^7 + 9351*T1^4*T2^7 - 24299*T1^5*T2^7 + 16036*T1^6*T2^7 + 
      16036*T1^7*T2^7 - 24299*T1^8*T2^7 + 9351*T1^9*T2^7 + 9223*T1^10*T2^7 - 
      3684*T1^11*T2^7 - 704*T1^12*T2^7 + 1456*T1^2*T2^8 + 1840*T1^3*T2^8 - 
      14436*T1^4*T2^8 + 9351*T1^5*T2^8 + 9781*T1^6*T2^8 - 24299*T1^7*T2^8 + 
      9781*T1^8*T2^8 + 9351*T1^9*T2^8 - 14436*T1^10*T2^8 + 1840*T1^11*T2^8 + 
      1456*T1^12*T2^8 - 1832*T1^3*T2^9 + 1840*T1^4*T2^9 + 9223*T1^5*T2^9 - 
      16372*T1^6*T2^9 + 9351*T1^7*T2^9 + 9351*T1^8*T2^9 - 16372*T1^9*T2^9 + 
      9223*T1^10*T2^9 + 1840*T1^11*T2^9 - 1832*T1^12*T2^9 + 1456*T1^4*T2^10 - 
      3684*T1^5*T2^10 - 606*T1^6*T2^10 + 9223*T1^7*T2^10 - 14436*T1^8*T2^10 + 
      9223*T1^9*T2^10 - 606*T1^10*T2^10 - 3684*T1^11*T2^10 + 
      1456*T1^12*T2^10 - 704*T1^5*T2^11 + 2740*T1^6*T2^11 - 3684*T1^7*T2^11 + 
      1840*T1^8*T2^11 + 1840*T1^9*T2^11 - 3684*T1^10*T2^11 + 
      2740*T1^11*T2^11 - 704*T1^12*T2^11 + 144*T1^6*T2^12 - 704*T1^7*T2^12 + 
      1456*T1^8*T2^12 - 1832*T1^9*T2^12 + 1456*T1^10*T2^12 - 
      704*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), -((9 - 44*T1 + 108*T1^2 - 184*T1^3 + 217*T1^4 - 184*T1^5 + 
      108*T1^6 - 44*T1^7 + 9*T1^8 - 44*T2 + 172*T1*T2 - 315*T1^2*T2 + 
      374*T1^3*T2 - 163*T1^4*T2 - 163*T1^5*T2 + 374*T1^6*T2 - 315*T1^7*T2 + 
      172*T1^8*T2 - 44*T1^9*T2 + 108*T2^2 - 315*T1*T2^2 + 351*T1^2*T2^2 - 
      135*T1^3*T2^2 - 573*T1^4*T2^2 + 893*T1^5*T2^2 - 573*T1^6*T2^2 - 
      135*T1^7*T2^2 + 351*T1^8*T2^2 - 315*T1^9*T2^2 + 108*T1^10*T2^2 - 
      184*T2^3 + 374*T1*T2^3 - 135*T1^2*T2^3 - 264*T1^3*T2^3 + 
      1175*T1^4*T2^3 - 579*T1^5*T2^3 - 579*T1^6*T2^3 + 1175*T1^7*T2^3 - 
      264*T1^8*T2^3 - 135*T1^9*T2^3 + 374*T1^10*T2^3 - 184*T1^11*T2^3 + 
      217*T2^4 - 163*T1*T2^4 - 573*T1^2*T2^4 + 1175*T1^3*T2^4 - 
      2257*T1^4*T2^4 + 435*T1^5*T2^4 + 461*T1^6*T2^4 + 435*T1^7*T2^4 - 
      2257*T1^8*T2^4 + 1175*T1^9*T2^4 - 573*T1^10*T2^4 - 163*T1^11*T2^4 + 
      217*T1^12*T2^4 - 184*T2^5 - 163*T1*T2^5 + 893*T1^2*T2^5 - 
      579*T1^3*T2^5 + 435*T1^4*T2^5 + 3008*T1^5*T2^5 - 1662*T1^6*T2^5 - 
      1662*T1^7*T2^5 + 3008*T1^8*T2^5 + 435*T1^9*T2^5 - 579*T1^10*T2^5 + 
      893*T1^11*T2^5 - 163*T1^12*T2^5 - 184*T1^13*T2^5 + 108*T2^6 + 
      374*T1*T2^6 - 573*T1^2*T2^6 - 579*T1^3*T2^6 + 461*T1^4*T2^6 - 
      1662*T1^5*T2^6 - 4915*T1^6*T2^6 + 8295*T1^7*T2^6 - 4915*T1^8*T2^6 - 
      1662*T1^9*T2^6 + 461*T1^10*T2^6 - 579*T1^11*T2^6 - 573*T1^12*T2^6 + 
      374*T1^13*T2^6 + 108*T1^14*T2^6 - 44*T2^7 - 315*T1*T2^7 - 
      135*T1^2*T2^7 + 1175*T1^3*T2^7 + 435*T1^4*T2^7 - 1662*T1^5*T2^7 + 
      8295*T1^6*T2^7 - 4422*T1^7*T2^7 - 4422*T1^8*T2^7 + 8295*T1^9*T2^7 - 
      1662*T1^10*T2^7 + 435*T1^11*T2^7 + 1175*T1^12*T2^7 - 135*T1^13*T2^7 - 
      315*T1^14*T2^7 - 44*T1^15*T2^7 + 9*T2^8 + 172*T1*T2^8 + 351*T1^2*T2^8 - 
      264*T1^3*T2^8 - 2257*T1^4*T2^8 + 3008*T1^5*T2^8 - 4915*T1^6*T2^8 - 
      4422*T1^7*T2^8 + 9468*T1^8*T2^8 - 4422*T1^9*T2^8 - 4915*T1^10*T2^8 + 
      3008*T1^11*T2^8 - 2257*T1^12*T2^8 - 264*T1^13*T2^8 + 351*T1^14*T2^8 + 
      172*T1^15*T2^8 + 9*T1^16*T2^8 - 44*T1*T2^9 - 315*T1^2*T2^9 - 
      135*T1^3*T2^9 + 1175*T1^4*T2^9 + 435*T1^5*T2^9 - 1662*T1^6*T2^9 + 
      8295*T1^7*T2^9 - 4422*T1^8*T2^9 - 4422*T1^9*T2^9 + 8295*T1^10*T2^9 - 
      1662*T1^11*T2^9 + 435*T1^12*T2^9 + 1175*T1^13*T2^9 - 135*T1^14*T2^9 - 
      315*T1^15*T2^9 - 44*T1^16*T2^9 + 108*T1^2*T2^10 + 374*T1^3*T2^10 - 
      573*T1^4*T2^10 - 579*T1^5*T2^10 + 461*T1^6*T2^10 - 1662*T1^7*T2^10 - 
      4915*T1^8*T2^10 + 8295*T1^9*T2^10 - 4915*T1^10*T2^10 - 
      1662*T1^11*T2^10 + 461*T1^12*T2^10 - 579*T1^13*T2^10 - 
      573*T1^14*T2^10 + 374*T1^15*T2^10 + 108*T1^16*T2^10 - 184*T1^3*T2^11 - 
      163*T1^4*T2^11 + 893*T1^5*T2^11 - 579*T1^6*T2^11 + 435*T1^7*T2^11 + 
      3008*T1^8*T2^11 - 1662*T1^9*T2^11 - 1662*T1^10*T2^11 + 
      3008*T1^11*T2^11 + 435*T1^12*T2^11 - 579*T1^13*T2^11 + 
      893*T1^14*T2^11 - 163*T1^15*T2^11 - 184*T1^16*T2^11 + 217*T1^4*T2^12 - 
      163*T1^5*T2^12 - 573*T1^6*T2^12 + 1175*T1^7*T2^12 - 2257*T1^8*T2^12 + 
      435*T1^9*T2^12 + 461*T1^10*T2^12 + 435*T1^11*T2^12 - 2257*T1^12*T2^12 + 
      1175*T1^13*T2^12 - 573*T1^14*T2^12 - 163*T1^15*T2^12 + 
      217*T1^16*T2^12 - 184*T1^5*T2^13 + 374*T1^6*T2^13 - 135*T1^7*T2^13 - 
      264*T1^8*T2^13 + 1175*T1^9*T2^13 - 579*T1^10*T2^13 - 579*T1^11*T2^13 + 
      1175*T1^12*T2^13 - 264*T1^13*T2^13 - 135*T1^14*T2^13 + 
      374*T1^15*T2^13 - 184*T1^16*T2^13 + 108*T1^6*T2^14 - 315*T1^7*T2^14 + 
      351*T1^8*T2^14 - 135*T1^9*T2^14 - 573*T1^10*T2^14 + 893*T1^11*T2^14 - 
      573*T1^12*T2^14 - 135*T1^13*T2^14 + 351*T1^14*T2^14 - 315*T1^15*T2^14 + 
      108*T1^16*T2^14 - 44*T1^7*T2^15 + 172*T1^8*T2^15 - 315*T1^9*T2^15 + 
      374*T1^10*T2^15 - 163*T1^11*T2^15 - 163*T1^12*T2^15 + 374*T1^13*T2^15 - 
      315*T1^14*T2^15 + 172*T1^15*T2^15 - 44*T1^16*T2^15 + 9*T1^8*T2^16 - 
      44*T1^9*T2^16 + 108*T1^10*T2^16 - 184*T1^11*T2^16 + 217*T1^12*T2^16 - 
      184*T1^13*T2^16 + 108*T1^14*T2^16 - 44*T1^15*T2^16 + 9*T1^16*T2^16)/
     (T1^8*T2^8))}, 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*(8 - 38*T1 + 84*T1^2 - 112*T1^3 + 84*T1^4 - 38*T1^5 + 8*T1^6 - 38*T2 + 
      144*T1*T2 - 222*T1^2*T2 + 135*T1^3*T2 + 135*T1^4*T2 - 222*T1^5*T2 + 
      144*T1^6*T2 - 38*T1^7*T2 + 84*T2^2 - 222*T1*T2^2 + 136*T1^2*T2^2 + 
      217*T1^3*T2^2 - 618*T1^4*T2^2 + 217*T1^5*T2^2 + 136*T1^6*T2^2 - 
      222*T1^7*T2^2 + 84*T1^8*T2^2 - 112*T2^3 + 135*T1*T2^3 + 217*T1^2*T2^3 - 
      468*T1^3*T2^3 + 541*T1^4*T2^3 + 541*T1^5*T2^3 - 468*T1^6*T2^3 + 
      217*T1^7*T2^3 + 135*T1^8*T2^3 - 112*T1^9*T2^3 + 84*T2^4 + 135*T1*T2^4 - 
      618*T1^2*T2^4 + 541*T1^3*T2^4 - 737*T1^4*T2^4 - 274*T1^5*T2^4 - 
      737*T1^6*T2^4 + 541*T1^7*T2^4 - 618*T1^8*T2^4 + 135*T1^9*T2^4 + 
      84*T1^10*T2^4 - 38*T2^5 - 222*T1*T2^5 + 217*T1^2*T2^5 + 541*T1^3*T2^5 - 
      274*T1^4*T2^5 + 988*T1^5*T2^5 + 988*T1^6*T2^5 - 274*T1^7*T2^5 + 
      541*T1^8*T2^5 + 217*T1^9*T2^5 - 222*T1^10*T2^5 - 38*T1^11*T2^5 + 
      8*T2^6 + 144*T1*T2^6 + 136*T1^2*T2^6 - 468*T1^3*T2^6 - 737*T1^4*T2^6 + 
      988*T1^5*T2^6 - 3006*T1^6*T2^6 + 988*T1^7*T2^6 - 737*T1^8*T2^6 - 
      468*T1^9*T2^6 + 136*T1^10*T2^6 + 144*T1^11*T2^6 + 8*T1^12*T2^6 - 
      38*T1*T2^7 - 222*T1^2*T2^7 + 217*T1^3*T2^7 + 541*T1^4*T2^7 - 
      274*T1^5*T2^7 + 988*T1^6*T2^7 + 988*T1^7*T2^7 - 274*T1^8*T2^7 + 
      541*T1^9*T2^7 + 217*T1^10*T2^7 - 222*T1^11*T2^7 - 38*T1^12*T2^7 + 
      84*T1^2*T2^8 + 135*T1^3*T2^8 - 618*T1^4*T2^8 + 541*T1^5*T2^8 - 
      737*T1^6*T2^8 - 274*T1^7*T2^8 - 737*T1^8*T2^8 + 541*T1^9*T2^8 - 
      618*T1^10*T2^8 + 135*T1^11*T2^8 + 84*T1^12*T2^8 - 112*T1^3*T2^9 + 
      135*T1^4*T2^9 + 217*T1^5*T2^9 - 468*T1^6*T2^9 + 541*T1^7*T2^9 + 
      541*T1^8*T2^9 - 468*T1^9*T2^9 + 217*T1^10*T2^9 + 135*T1^11*T2^9 - 
      112*T1^12*T2^9 + 84*T1^4*T2^10 - 222*T1^5*T2^10 + 136*T1^6*T2^10 + 
      217*T1^7*T2^10 - 618*T1^8*T2^10 + 217*T1^9*T2^10 + 136*T1^10*T2^10 - 
      222*T1^11*T2^10 + 84*T1^12*T2^10 - 38*T1^5*T2^11 + 144*T1^6*T2^11 - 
      222*T1^7*T2^11 + 135*T1^8*T2^11 + 135*T1^9*T2^11 - 222*T1^10*T2^11 + 
      144*T1^11*T2^11 - 38*T1^12*T2^11 + 8*T1^6*T2^12 - 38*T1^7*T2^12 + 
      84*T1^8*T2^12 - 112*T1^9*T2^12 + 84*T1^10*T2^12 - 38*T1^11*T2^12 + 
      8*T1^12*T2^12))/(T1^6*T2^6)}, 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, -((17 - 84*T1 + 216*T1^2 - 346*T1^3 + 403*T1^4 - 346*T1^5 + 
      216*T1^6 - 84*T1^7 + 17*T1^8 - 84*T2 + 332*T1*T2 - 655*T1^2*T2 + 
      646*T1^3*T2 - 283*T1^4*T2 - 283*T1^5*T2 + 646*T1^6*T2 - 655*T1^7*T2 + 
      332*T1^8*T2 - 84*T1^9*T2 + 216*T2^2 - 655*T1*T2^2 + 897*T1^2*T2^2 - 
      110*T1^3*T2^2 - 771*T1^4*T2^2 + 1279*T1^5*T2^2 - 771*T1^6*T2^2 - 
      110*T1^7*T2^2 + 897*T1^8*T2^2 - 655*T1^9*T2^2 + 216*T1^10*T2^2 - 
      346*T2^3 + 646*T1*T2^3 - 110*T1^2*T2^3 - 1874*T1^3*T2^3 + 
      2118*T1^4*T2^3 - 1127*T1^5*T2^3 - 1127*T1^6*T2^3 + 2118*T1^7*T2^3 - 
      1874*T1^8*T2^3 - 110*T1^9*T2^3 + 646*T1^10*T2^3 - 346*T1^11*T2^3 + 
      403*T2^4 - 283*T1*T2^4 - 771*T1^2*T2^4 + 2118*T1^3*T2^4 + 
      1173*T1^4*T2^4 - 4274*T1^5*T2^4 + 6509*T1^6*T2^4 - 4274*T1^7*T2^4 + 
      1173*T1^8*T2^4 + 2118*T1^9*T2^4 - 771*T1^10*T2^4 - 283*T1^11*T2^4 + 
      403*T1^12*T2^4 - 346*T2^5 - 283*T1*T2^5 + 1279*T1^2*T2^5 - 
      1127*T1^3*T2^5 - 4274*T1^4*T2^5 + 4772*T1^5*T2^5 - 2977*T1^6*T2^5 - 
      2977*T1^7*T2^5 + 4772*T1^8*T2^5 - 4274*T1^9*T2^5 - 1127*T1^10*T2^5 + 
      1279*T1^11*T2^5 - 283*T1^12*T2^5 - 346*T1^13*T2^5 + 216*T2^6 + 
      646*T1*T2^6 - 771*T1^2*T2^6 - 1127*T1^3*T2^6 + 6509*T1^4*T2^6 - 
      2977*T1^5*T2^6 - 161*T1^6*T2^6 + 4123*T1^7*T2^6 - 161*T1^8*T2^6 - 
      2977*T1^9*T2^6 + 6509*T1^10*T2^6 - 1127*T1^11*T2^6 - 771*T1^12*T2^6 + 
      646*T1^13*T2^6 + 216*T1^14*T2^6 - 84*T2^7 - 655*T1*T2^7 - 
      110*T1^2*T2^7 + 2118*T1^3*T2^7 - 4274*T1^4*T2^7 - 2977*T1^5*T2^7 + 
      4123*T1^6*T2^7 - 3644*T1^7*T2^7 - 3644*T1^8*T2^7 + 4123*T1^9*T2^7 - 
      2977*T1^10*T2^7 - 4274*T1^11*T2^7 + 2118*T1^12*T2^7 - 110*T1^13*T2^7 - 
      655*T1^14*T2^7 - 84*T1^15*T2^7 + 17*T2^8 + 332*T1*T2^8 + 
      897*T1^2*T2^8 - 1874*T1^3*T2^8 + 1173*T1^4*T2^8 + 4772*T1^5*T2^8 - 
      161*T1^6*T2^8 - 3644*T1^7*T2^8 + 8808*T1^8*T2^8 - 3644*T1^9*T2^8 - 
      161*T1^10*T2^8 + 4772*T1^11*T2^8 + 1173*T1^12*T2^8 - 1874*T1^13*T2^8 + 
      897*T1^14*T2^8 + 332*T1^15*T2^8 + 17*T1^16*T2^8 - 84*T1*T2^9 - 
      655*T1^2*T2^9 - 110*T1^3*T2^9 + 2118*T1^4*T2^9 - 4274*T1^5*T2^9 - 
      2977*T1^6*T2^9 + 4123*T1^7*T2^9 - 3644*T1^8*T2^9 - 3644*T1^9*T2^9 + 
      4123*T1^10*T2^9 - 2977*T1^11*T2^9 - 4274*T1^12*T2^9 + 2118*T1^13*T2^9 - 
      110*T1^14*T2^9 - 655*T1^15*T2^9 - 84*T1^16*T2^9 + 216*T1^2*T2^10 + 
      646*T1^3*T2^10 - 771*T1^4*T2^10 - 1127*T1^5*T2^10 + 6509*T1^6*T2^10 - 
      2977*T1^7*T2^10 - 161*T1^8*T2^10 + 4123*T1^9*T2^10 - 161*T1^10*T2^10 - 
      2977*T1^11*T2^10 + 6509*T1^12*T2^10 - 1127*T1^13*T2^10 - 
      771*T1^14*T2^10 + 646*T1^15*T2^10 + 216*T1^16*T2^10 - 346*T1^3*T2^11 - 
      283*T1^4*T2^11 + 1279*T1^5*T2^11 - 1127*T1^6*T2^11 - 4274*T1^7*T2^11 + 
      4772*T1^8*T2^11 - 2977*T1^9*T2^11 - 2977*T1^10*T2^11 + 
      4772*T1^11*T2^11 - 4274*T1^12*T2^11 - 1127*T1^13*T2^11 + 
      1279*T1^14*T2^11 - 283*T1^15*T2^11 - 346*T1^16*T2^11 + 403*T1^4*T2^12 - 
      283*T1^5*T2^12 - 771*T1^6*T2^12 + 2118*T1^7*T2^12 + 1173*T1^8*T2^12 - 
      4274*T1^9*T2^12 + 6509*T1^10*T2^12 - 4274*T1^11*T2^12 + 
      1173*T1^12*T2^12 + 2118*T1^13*T2^12 - 771*T1^14*T2^12 - 
      283*T1^15*T2^12 + 403*T1^16*T2^12 - 346*T1^5*T2^13 + 646*T1^6*T2^13 - 
      110*T1^7*T2^13 - 1874*T1^8*T2^13 + 2118*T1^9*T2^13 - 1127*T1^10*T2^13 - 
      1127*T1^11*T2^13 + 2118*T1^12*T2^13 - 1874*T1^13*T2^13 - 
      110*T1^14*T2^13 + 646*T1^15*T2^13 - 346*T1^16*T2^13 + 216*T1^6*T2^14 - 
      655*T1^7*T2^14 + 897*T1^8*T2^14 - 110*T1^9*T2^14 - 771*T1^10*T2^14 + 
      1279*T1^11*T2^14 - 771*T1^12*T2^14 - 110*T1^13*T2^14 + 
      897*T1^14*T2^14 - 655*T1^15*T2^14 + 216*T1^16*T2^14 - 84*T1^7*T2^15 + 
      332*T1^8*T2^15 - 655*T1^9*T2^15 + 646*T1^10*T2^15 - 283*T1^11*T2^15 - 
      283*T1^12*T2^15 + 646*T1^13*T2^15 - 655*T1^14*T2^15 + 332*T1^15*T2^15 - 
      84*T1^16*T2^15 + 17*T1^8*T2^16 - 84*T1^9*T2^16 + 216*T1^10*T2^16 - 
      346*T1^11*T2^16 + 403*T1^12*T2^16 - 346*T1^13*T2^16 + 216*T1^14*T2^16 - 
      84*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 957] -> 
  {((2 - 3*T + 2*T^2)*(2 - 7*T + 11*T^2 - 7*T^3 + 2*T^4))/T^3, 
   -((80 - 396*T1 + 924*T1^2 - 1192*T1^3 + 924*T1^4 - 396*T1^5 + 80*T1^6 - 
      396*T2 + 1568*T1*T2 - 2622*T1^2*T2 + 1332*T1^3*T2 + 1332*T1^4*T2 - 
      2622*T1^5*T2 + 1568*T1^6*T2 - 396*T1^7*T2 + 924*T2^2 - 2622*T1*T2^2 + 
      1830*T1^2*T2^2 + 4587*T1^3*T2^2 - 8318*T1^4*T2^2 + 4587*T1^5*T2^2 + 
      1830*T1^6*T2^2 - 2622*T1^7*T2^2 + 924*T1^8*T2^2 - 1192*T2^3 + 
      1332*T1*T2^3 + 4587*T1^2*T2^3 - 14362*T1^3*T2^3 + 7979*T1^4*T2^3 + 
      7979*T1^5*T2^3 - 14362*T1^6*T2^3 + 4587*T1^7*T2^3 + 1332*T1^8*T2^3 - 
      1192*T1^9*T2^3 + 924*T2^4 + 1332*T1*T2^4 - 8318*T1^2*T2^4 + 
      7979*T1^3*T2^4 + 18410*T1^4*T2^4 - 33856*T1^5*T2^4 + 18410*T1^6*T2^4 + 
      7979*T1^7*T2^4 - 8318*T1^8*T2^4 + 1332*T1^9*T2^4 + 924*T1^10*T2^4 - 
      396*T2^5 - 2622*T1*T2^5 + 4587*T1^2*T2^5 + 7979*T1^3*T2^5 - 
      33856*T1^4*T2^5 + 19180*T1^5*T2^5 + 19180*T1^6*T2^5 - 33856*T1^7*T2^5 + 
      7979*T1^8*T2^5 + 4587*T1^9*T2^5 - 2622*T1^10*T2^5 - 396*T1^11*T2^5 + 
      80*T2^6 + 1568*T1*T2^6 + 1830*T1^2*T2^6 - 14362*T1^3*T2^6 + 
      18410*T1^4*T2^6 + 19180*T1^5*T2^6 - 41688*T1^6*T2^6 + 19180*T1^7*T2^6 + 
      18410*T1^8*T2^6 - 14362*T1^9*T2^6 + 1830*T1^10*T2^6 + 1568*T1^11*T2^6 + 
      80*T1^12*T2^6 - 396*T1*T2^7 - 2622*T1^2*T2^7 + 4587*T1^3*T2^7 + 
      7979*T1^4*T2^7 - 33856*T1^5*T2^7 + 19180*T1^6*T2^7 + 19180*T1^7*T2^7 - 
      33856*T1^8*T2^7 + 7979*T1^9*T2^7 + 4587*T1^10*T2^7 - 2622*T1^11*T2^7 - 
      396*T1^12*T2^7 + 924*T1^2*T2^8 + 1332*T1^3*T2^8 - 8318*T1^4*T2^8 + 
      7979*T1^5*T2^8 + 18410*T1^6*T2^8 - 33856*T1^7*T2^8 + 18410*T1^8*T2^8 + 
      7979*T1^9*T2^8 - 8318*T1^10*T2^8 + 1332*T1^11*T2^8 + 924*T1^12*T2^8 - 
      1192*T1^3*T2^9 + 1332*T1^4*T2^9 + 4587*T1^5*T2^9 - 14362*T1^6*T2^9 + 
      7979*T1^7*T2^9 + 7979*T1^8*T2^9 - 14362*T1^9*T2^9 + 4587*T1^10*T2^9 + 
      1332*T1^11*T2^9 - 1192*T1^12*T2^9 + 924*T1^4*T2^10 - 2622*T1^5*T2^10 + 
      1830*T1^6*T2^10 + 4587*T1^7*T2^10 - 8318*T1^8*T2^10 + 4587*T1^9*T2^10 + 
      1830*T1^10*T2^10 - 2622*T1^11*T2^10 + 924*T1^12*T2^10 - 
      396*T1^5*T2^11 + 1568*T1^6*T2^11 - 2622*T1^7*T2^11 + 1332*T1^8*T2^11 + 
      1332*T1^9*T2^11 - 2622*T1^10*T2^11 + 1568*T1^11*T2^11 - 
      396*T1^12*T2^11 + 80*T1^6*T2^12 - 396*T1^7*T2^12 + 924*T1^8*T2^12 - 
      1192*T1^9*T2^12 + 924*T1^10*T2^12 - 396*T1^11*T2^12 + 80*T1^12*T2^12)/
     (T1^6*T2^6))}, 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, -((17 - 84*T1 + 208*T1^2 - 322*T1^3 + 371*T1^4 - 322*T1^5 + 
      208*T1^6 - 84*T1^7 + 17*T1^8 - 84*T2 + 332*T1*T2 - 615*T1^2*T2 + 
      566*T1^3*T2 - 243*T1^4*T2 - 243*T1^5*T2 + 566*T1^6*T2 - 615*T1^7*T2 + 
      332*T1^8*T2 - 84*T1^9*T2 + 208*T2^2 - 615*T1*T2^2 + 685*T1^2*T2^2 + 
      202*T1^3*T2^2 - 982*T1^4*T2^2 + 1431*T1^5*T2^2 - 982*T1^6*T2^2 + 
      202*T1^7*T2^2 + 685*T1^8*T2^2 - 615*T1^9*T2^2 + 208*T1^10*T2^2 - 
      322*T2^3 + 566*T1*T2^3 + 202*T1^2*T2^3 - 2028*T1^3*T2^3 + 
      1923*T1^4*T2^3 - 1008*T1^5*T2^3 - 1008*T1^6*T2^3 + 1923*T1^7*T2^3 - 
      2028*T1^8*T2^3 + 202*T1^9*T2^3 + 566*T1^10*T2^3 - 322*T1^11*T2^3 + 
      371*T2^4 - 243*T1*T2^4 - 982*T1^2*T2^4 + 1923*T1^3*T2^4 + 
      1236*T1^4*T2^4 - 3399*T1^5*T2^4 + 5208*T1^6*T2^4 - 3399*T1^7*T2^4 + 
      1236*T1^8*T2^4 + 1923*T1^9*T2^4 - 982*T1^10*T2^4 - 243*T1^11*T2^4 + 
      371*T1^12*T2^4 - 322*T2^5 - 243*T1*T2^5 + 1431*T1^2*T2^5 - 
      1008*T1^3*T2^5 - 3399*T1^4*T2^5 + 3060*T1^5*T2^5 - 2180*T1^6*T2^5 - 
      2180*T1^7*T2^5 + 3060*T1^8*T2^5 - 3399*T1^9*T2^5 - 1008*T1^10*T2^5 + 
      1431*T1^11*T2^5 - 243*T1^12*T2^5 - 322*T1^13*T2^5 + 208*T2^6 + 
      566*T1*T2^6 - 982*T1^2*T2^6 - 1008*T1^3*T2^6 + 5208*T1^4*T2^6 - 
      2180*T1^5*T2^6 + 940*T1^6*T2^6 + 2174*T1^7*T2^6 + 940*T1^8*T2^6 - 
      2180*T1^9*T2^6 + 5208*T1^10*T2^6 - 1008*T1^11*T2^6 - 982*T1^12*T2^6 + 
      566*T1^13*T2^6 + 208*T1^14*T2^6 - 84*T2^7 - 615*T1*T2^7 + 
      202*T1^2*T2^7 + 1923*T1^3*T2^7 - 3399*T1^4*T2^7 - 2180*T1^5*T2^7 + 
      2174*T1^6*T2^7 - 2726*T1^7*T2^7 - 2726*T1^8*T2^7 + 2174*T1^9*T2^7 - 
      2180*T1^10*T2^7 - 3399*T1^11*T2^7 + 1923*T1^12*T2^7 + 202*T1^13*T2^7 - 
      615*T1^14*T2^7 - 84*T1^15*T2^7 + 17*T2^8 + 332*T1*T2^8 + 
      685*T1^2*T2^8 - 2028*T1^3*T2^8 + 1236*T1^4*T2^8 + 3060*T1^5*T2^8 + 
      940*T1^6*T2^8 - 2726*T1^7*T2^8 + 7008*T1^8*T2^8 - 2726*T1^9*T2^8 + 
      940*T1^10*T2^8 + 3060*T1^11*T2^8 + 1236*T1^12*T2^8 - 2028*T1^13*T2^8 + 
      685*T1^14*T2^8 + 332*T1^15*T2^8 + 17*T1^16*T2^8 - 84*T1*T2^9 - 
      615*T1^2*T2^9 + 202*T1^3*T2^9 + 1923*T1^4*T2^9 - 3399*T1^5*T2^9 - 
      2180*T1^6*T2^9 + 2174*T1^7*T2^9 - 2726*T1^8*T2^9 - 2726*T1^9*T2^9 + 
      2174*T1^10*T2^9 - 2180*T1^11*T2^9 - 3399*T1^12*T2^9 + 1923*T1^13*T2^9 + 
      202*T1^14*T2^9 - 615*T1^15*T2^9 - 84*T1^16*T2^9 + 208*T1^2*T2^10 + 
      566*T1^3*T2^10 - 982*T1^4*T2^10 - 1008*T1^5*T2^10 + 5208*T1^6*T2^10 - 
      2180*T1^7*T2^10 + 940*T1^8*T2^10 + 2174*T1^9*T2^10 + 940*T1^10*T2^10 - 
      2180*T1^11*T2^10 + 5208*T1^12*T2^10 - 1008*T1^13*T2^10 - 
      982*T1^14*T2^10 + 566*T1^15*T2^10 + 208*T1^16*T2^10 - 322*T1^3*T2^11 - 
      243*T1^4*T2^11 + 1431*T1^5*T2^11 - 1008*T1^6*T2^11 - 3399*T1^7*T2^11 + 
      3060*T1^8*T2^11 - 2180*T1^9*T2^11 - 2180*T1^10*T2^11 + 
      3060*T1^11*T2^11 - 3399*T1^12*T2^11 - 1008*T1^13*T2^11 + 
      1431*T1^14*T2^11 - 243*T1^15*T2^11 - 322*T1^16*T2^11 + 371*T1^4*T2^12 - 
      243*T1^5*T2^12 - 982*T1^6*T2^12 + 1923*T1^7*T2^12 + 1236*T1^8*T2^12 - 
      3399*T1^9*T2^12 + 5208*T1^10*T2^12 - 3399*T1^11*T2^12 + 
      1236*T1^12*T2^12 + 1923*T1^13*T2^12 - 982*T1^14*T2^12 - 
      243*T1^15*T2^12 + 371*T1^16*T2^12 - 322*T1^5*T2^13 + 566*T1^6*T2^13 + 
      202*T1^7*T2^13 - 2028*T1^8*T2^13 + 1923*T1^9*T2^13 - 1008*T1^10*T2^13 - 
      1008*T1^11*T2^13 + 1923*T1^12*T2^13 - 2028*T1^13*T2^13 + 
      202*T1^14*T2^13 + 566*T1^15*T2^13 - 322*T1^16*T2^13 + 208*T1^6*T2^14 - 
      615*T1^7*T2^14 + 685*T1^8*T2^14 + 202*T1^9*T2^14 - 982*T1^10*T2^14 + 
      1431*T1^11*T2^14 - 982*T1^12*T2^14 + 202*T1^13*T2^14 + 
      685*T1^14*T2^14 - 615*T1^15*T2^14 + 208*T1^16*T2^14 - 84*T1^7*T2^15 + 
      332*T1^8*T2^15 - 615*T1^9*T2^15 + 566*T1^10*T2^15 - 243*T1^11*T2^15 - 
      243*T1^12*T2^15 + 566*T1^13*T2^15 - 615*T1^14*T2^15 + 332*T1^15*T2^15 - 
      84*T1^16*T2^15 + 17*T1^8*T2^16 - 84*T1^9*T2^16 + 208*T1^10*T2^16 - 
      322*T1^11*T2^16 + 371*T1^12*T2^16 - 322*T1^13*T2^16 + 208*T1^14*T2^16 - 
      84*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 959] -> 
  {(4 - 21*T + 50*T^2 - 65*T^3 + 50*T^4 - 21*T^5 + 4*T^6)/T^3, 
   -((80 - 412*T1 + 972*T1^2 - 1256*T1^3 + 972*T1^4 - 412*T1^5 + 80*T1^6 - 
      412*T2 + 1714*T1*T2 - 2894*T1^2*T2 + 1470*T1^3*T2 + 1470*T1^4*T2 - 
      2894*T1^5*T2 + 1714*T1^6*T2 - 412*T1^7*T2 + 972*T2^2 - 2894*T1*T2^2 + 
      1819*T1^2*T2^2 + 5723*T1^3*T2^2 - 10047*T1^4*T2^2 + 5723*T1^5*T2^2 + 
      1819*T1^6*T2^2 - 2894*T1^7*T2^2 + 972*T1^8*T2^2 - 1256*T2^3 + 
      1470*T1*T2^3 + 5723*T1^2*T2^3 - 17184*T1^3*T2^3 + 9435*T1^4*T2^3 + 
      9435*T1^5*T2^3 - 17184*T1^6*T2^3 + 5723*T1^7*T2^3 + 1470*T1^8*T2^3 - 
      1256*T1^9*T2^3 + 972*T2^4 + 1470*T1*T2^4 - 10047*T1^2*T2^4 + 
      9435*T1^3*T2^4 + 22096*T1^4*T2^4 - 40256*T1^5*T2^4 + 22096*T1^6*T2^4 + 
      9435*T1^7*T2^4 - 10047*T1^8*T2^4 + 1470*T1^9*T2^4 + 972*T1^10*T2^4 - 
      412*T2^5 - 2894*T1*T2^5 + 5723*T1^2*T2^5 + 9435*T1^3*T2^5 - 
      40256*T1^4*T2^5 + 22598*T1^5*T2^5 + 22598*T1^6*T2^5 - 40256*T1^7*T2^5 + 
      9435*T1^8*T2^5 + 5723*T1^9*T2^5 - 2894*T1^10*T2^5 - 412*T1^11*T2^5 + 
      80*T2^6 + 1714*T1*T2^6 + 1819*T1^2*T2^6 - 17184*T1^3*T2^6 + 
      22096*T1^4*T2^6 + 22598*T1^5*T2^6 - 48912*T1^6*T2^6 + 22598*T1^7*T2^6 + 
      22096*T1^8*T2^6 - 17184*T1^9*T2^6 + 1819*T1^10*T2^6 + 1714*T1^11*T2^6 + 
      80*T1^12*T2^6 - 412*T1*T2^7 - 2894*T1^2*T2^7 + 5723*T1^3*T2^7 + 
      9435*T1^4*T2^7 - 40256*T1^5*T2^7 + 22598*T1^6*T2^7 + 22598*T1^7*T2^7 - 
      40256*T1^8*T2^7 + 9435*T1^9*T2^7 + 5723*T1^10*T2^7 - 2894*T1^11*T2^7 - 
      412*T1^12*T2^7 + 972*T1^2*T2^8 + 1470*T1^3*T2^8 - 10047*T1^4*T2^8 + 
      9435*T1^5*T2^8 + 22096*T1^6*T2^8 - 40256*T1^7*T2^8 + 22096*T1^8*T2^8 + 
      9435*T1^9*T2^8 - 10047*T1^10*T2^8 + 1470*T1^11*T2^8 + 972*T1^12*T2^8 - 
      1256*T1^3*T2^9 + 1470*T1^4*T2^9 + 5723*T1^5*T2^9 - 17184*T1^6*T2^9 + 
      9435*T1^7*T2^9 + 9435*T1^8*T2^9 - 17184*T1^9*T2^9 + 5723*T1^10*T2^9 + 
      1470*T1^11*T2^9 - 1256*T1^12*T2^9 + 972*T1^4*T2^10 - 2894*T1^5*T2^10 + 
      1819*T1^6*T2^10 + 5723*T1^7*T2^10 - 10047*T1^8*T2^10 + 
      5723*T1^9*T2^10 + 1819*T1^10*T2^10 - 2894*T1^11*T2^10 + 
      972*T1^12*T2^10 - 412*T1^5*T2^11 + 1714*T1^6*T2^11 - 2894*T1^7*T2^11 + 
      1470*T1^8*T2^11 + 1470*T1^9*T2^11 - 2894*T1^10*T2^11 + 
      1714*T1^11*T2^11 - 412*T1^12*T2^11 + 80*T1^6*T2^12 - 412*T1^7*T2^12 + 
      972*T1^8*T2^12 - 1256*T1^9*T2^12 + 972*T1^10*T2^12 - 412*T1^11*T2^12 + 
      80*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 960] -> 
  {-((4 - 25*T + 66*T^2 - 91*T^3 + 66*T^4 - 25*T^5 + 4*T^6)/T^3), 0}, 
 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, 
   (T1 - 3*T1^2 + 2*T1^3 + 2*T1^4 - 3*T1^5 + T1^6 + T2 - 9*T1*T2 + 
     18*T1^2*T2 - 3*T1^3*T2 - 15*T1^4*T2 - 3*T1^5*T2 + 18*T1^6*T2 - 
     9*T1^7*T2 + T1^8*T2 - 3*T2^2 + 18*T1*T2^2 - 14*T1^2*T2^2 - 
     51*T1^3*T2^2 + 54*T1^4*T2^2 + 54*T1^5*T2^2 - 51*T1^6*T2^2 - 
     14*T1^7*T2^2 + 18*T1^8*T2^2 - 3*T1^9*T2^2 + 2*T2^3 - 3*T1*T2^3 - 
     51*T1^2*T2^3 + 154*T1^3*T2^3 - 56*T1^4*T2^3 - 128*T1^5*T2^3 - 
     56*T1^6*T2^3 + 154*T1^7*T2^3 - 51*T1^8*T2^3 - 3*T1^9*T2^3 + 
     2*T1^10*T2^3 + 2*T2^4 - 15*T1*T2^4 + 54*T1^2*T2^4 - 56*T1^3*T2^4 - 
     168*T1^4*T2^4 + 240*T1^5*T2^4 + 240*T1^6*T2^4 - 168*T1^7*T2^4 - 
     56*T1^8*T2^4 + 54*T1^9*T2^4 - 15*T1^10*T2^4 + 2*T1^11*T2^4 - 3*T2^5 - 
     3*T1*T2^5 + 54*T1^2*T2^5 - 128*T1^3*T2^5 + 240*T1^4*T2^5 - 
     36*T1^5*T2^5 - 510*T1^6*T2^5 - 36*T1^7*T2^5 + 240*T1^8*T2^5 - 
     128*T1^9*T2^5 + 54*T1^10*T2^5 - 3*T1^11*T2^5 - 3*T1^12*T2^5 + T2^6 + 
     18*T1*T2^6 - 51*T1^2*T2^6 - 56*T1^3*T2^6 + 240*T1^4*T2^6 - 
     510*T1^5*T2^6 + 574*T1^6*T2^6 + 574*T1^7*T2^6 - 510*T1^8*T2^6 + 
     240*T1^9*T2^6 - 56*T1^10*T2^6 - 51*T1^11*T2^6 + 18*T1^12*T2^6 + 
     T1^13*T2^6 - 9*T1*T2^7 - 14*T1^2*T2^7 + 154*T1^3*T2^7 - 168*T1^4*T2^7 - 
     36*T1^5*T2^7 + 574*T1^6*T2^7 - 1512*T1^7*T2^7 + 574*T1^8*T2^7 - 
     36*T1^9*T2^7 - 168*T1^10*T2^7 + 154*T1^11*T2^7 - 14*T1^12*T2^7 - 
     9*T1^13*T2^7 + T1*T2^8 + 18*T1^2*T2^8 - 51*T1^3*T2^8 - 56*T1^4*T2^8 + 
     240*T1^5*T2^8 - 510*T1^6*T2^8 + 574*T1^7*T2^8 + 574*T1^8*T2^8 - 
     510*T1^9*T2^8 + 240*T1^10*T2^8 - 56*T1^11*T2^8 - 51*T1^12*T2^8 + 
     18*T1^13*T2^8 + T1^14*T2^8 - 3*T1^2*T2^9 - 3*T1^3*T2^9 + 54*T1^4*T2^9 - 
     128*T1^5*T2^9 + 240*T1^6*T2^9 - 36*T1^7*T2^9 - 510*T1^8*T2^9 - 
     36*T1^9*T2^9 + 240*T1^10*T2^9 - 128*T1^11*T2^9 + 54*T1^12*T2^9 - 
     3*T1^13*T2^9 - 3*T1^14*T2^9 + 2*T1^3*T2^10 - 15*T1^4*T2^10 + 
     54*T1^5*T2^10 - 56*T1^6*T2^10 - 168*T1^7*T2^10 + 240*T1^8*T2^10 + 
     240*T1^9*T2^10 - 168*T1^10*T2^10 - 56*T1^11*T2^10 + 54*T1^12*T2^10 - 
     15*T1^13*T2^10 + 2*T1^14*T2^10 + 2*T1^4*T2^11 - 3*T1^5*T2^11 - 
     51*T1^6*T2^11 + 154*T1^7*T2^11 - 56*T1^8*T2^11 - 128*T1^9*T2^11 - 
     56*T1^10*T2^11 + 154*T1^11*T2^11 - 51*T1^12*T2^11 - 3*T1^13*T2^11 + 
     2*T1^14*T2^11 - 3*T1^5*T2^12 + 18*T1^6*T2^12 - 14*T1^7*T2^12 - 
     51*T1^8*T2^12 + 54*T1^9*T2^12 + 54*T1^10*T2^12 - 51*T1^11*T2^12 - 
     14*T1^12*T2^12 + 18*T1^13*T2^12 - 3*T1^14*T2^12 + T1^6*T2^13 - 
     9*T1^7*T2^13 + 18*T1^8*T2^13 - 3*T1^9*T2^13 - 15*T1^10*T2^13 - 
     3*T1^11*T2^13 + 18*T1^12*T2^13 - 9*T1^13*T2^13 + T1^14*T2^13 + 
     T1^8*T2^14 - 3*T1^9*T2^14 + 2*T1^10*T2^14 + 2*T1^11*T2^14 - 
     3*T1^12*T2^14 + T1^13*T2^14)/(T1^7*T2^7)}, 
 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), -((1 - 9*T1 + 28*T1^2 - 51*T1^3 + 61*T1^4 - 51*T1^5 + 28*T1^6 - 
      9*T1^7 + T1^8 - 9*T2 + 72*T1*T2 - 171*T1^2*T2 + 206*T1^3*T2 - 
      89*T1^4*T2 - 89*T1^5*T2 + 206*T1^6*T2 - 171*T1^7*T2 + 72*T1^8*T2 - 
      9*T1^9*T2 + 28*T2^2 - 171*T1*T2^2 + 81*T1^2*T2^2 + 603*T1^3*T2^2 - 
      1655*T1^4*T2^2 + 2093*T1^5*T2^2 - 1655*T1^6*T2^2 + 603*T1^7*T2^2 + 
      81*T1^8*T2^2 - 171*T1^9*T2^2 + 28*T1^10*T2^2 - 51*T2^3 + 206*T1*T2^3 + 
      603*T1^2*T2^3 - 2330*T1^3*T2^3 + 3247*T1^4*T2^3 - 1390*T1^5*T2^3 - 
      1390*T1^6*T2^3 + 3247*T1^7*T2^3 - 2330*T1^8*T2^3 + 603*T1^9*T2^3 + 
      206*T1^10*T2^3 - 51*T1^11*T2^3 + 61*T2^4 - 89*T1*T2^4 - 
      1655*T1^2*T2^4 + 3247*T1^3*T2^4 - 1442*T1^4*T2^4 - 3998*T1^5*T2^4 + 
      6178*T1^6*T2^4 - 3998*T1^7*T2^4 - 1442*T1^8*T2^4 + 3247*T1^9*T2^4 - 
      1655*T1^10*T2^4 - 89*T1^11*T2^4 + 61*T1^12*T2^4 - 51*T2^5 - 
      89*T1*T2^5 + 2093*T1^2*T2^5 - 1390*T1^3*T2^5 - 3998*T1^4*T2^5 + 
      9106*T1^5*T2^5 - 4116*T1^6*T2^5 - 4116*T1^7*T2^5 + 9106*T1^8*T2^5 - 
      3998*T1^9*T2^5 - 1390*T1^10*T2^5 + 2093*T1^11*T2^5 - 89*T1^12*T2^5 - 
      51*T1^13*T2^5 + 28*T2^6 + 206*T1*T2^6 - 1655*T1^2*T2^6 - 
      1390*T1^3*T2^6 + 6178*T1^4*T2^6 - 4116*T1^5*T2^6 - 8897*T1^6*T2^6 + 
      14571*T1^7*T2^6 - 8897*T1^8*T2^6 - 4116*T1^9*T2^6 + 6178*T1^10*T2^6 - 
      1390*T1^11*T2^6 - 1655*T1^12*T2^6 + 206*T1^13*T2^6 + 28*T1^14*T2^6 - 
      9*T2^7 - 171*T1*T2^7 + 603*T1^2*T2^7 + 3247*T1^3*T2^7 - 
      3998*T1^4*T2^7 - 4116*T1^5*T2^7 + 14571*T1^6*T2^7 - 7196*T1^7*T2^7 - 
      7196*T1^8*T2^7 + 14571*T1^9*T2^7 - 4116*T1^10*T2^7 - 3998*T1^11*T2^7 + 
      3247*T1^12*T2^7 + 603*T1^13*T2^7 - 171*T1^14*T2^7 - 9*T1^15*T2^7 + 
      T2^8 + 72*T1*T2^8 + 81*T1^2*T2^8 - 2330*T1^3*T2^8 - 1442*T1^4*T2^8 + 
      9106*T1^5*T2^8 - 8897*T1^6*T2^8 - 7196*T1^7*T2^8 + 14952*T1^8*T2^8 - 
      7196*T1^9*T2^8 - 8897*T1^10*T2^8 + 9106*T1^11*T2^8 - 1442*T1^12*T2^8 - 
      2330*T1^13*T2^8 + 81*T1^14*T2^8 + 72*T1^15*T2^8 + T1^16*T2^8 - 
      9*T1*T2^9 - 171*T1^2*T2^9 + 603*T1^3*T2^9 + 3247*T1^4*T2^9 - 
      3998*T1^5*T2^9 - 4116*T1^6*T2^9 + 14571*T1^7*T2^9 - 7196*T1^8*T2^9 - 
      7196*T1^9*T2^9 + 14571*T1^10*T2^9 - 4116*T1^11*T2^9 - 3998*T1^12*T2^9 + 
      3247*T1^13*T2^9 + 603*T1^14*T2^9 - 171*T1^15*T2^9 - 9*T1^16*T2^9 + 
      28*T1^2*T2^10 + 206*T1^3*T2^10 - 1655*T1^4*T2^10 - 1390*T1^5*T2^10 + 
      6178*T1^6*T2^10 - 4116*T1^7*T2^10 - 8897*T1^8*T2^10 + 
      14571*T1^9*T2^10 - 8897*T1^10*T2^10 - 4116*T1^11*T2^10 + 
      6178*T1^12*T2^10 - 1390*T1^13*T2^10 - 1655*T1^14*T2^10 + 
      206*T1^15*T2^10 + 28*T1^16*T2^10 - 51*T1^3*T2^11 - 89*T1^4*T2^11 + 
      2093*T1^5*T2^11 - 1390*T1^6*T2^11 - 3998*T1^7*T2^11 + 9106*T1^8*T2^11 - 
      4116*T1^9*T2^11 - 4116*T1^10*T2^11 + 9106*T1^11*T2^11 - 
      3998*T1^12*T2^11 - 1390*T1^13*T2^11 + 2093*T1^14*T2^11 - 
      89*T1^15*T2^11 - 51*T1^16*T2^11 + 61*T1^4*T2^12 - 89*T1^5*T2^12 - 
      1655*T1^6*T2^12 + 3247*T1^7*T2^12 - 1442*T1^8*T2^12 - 3998*T1^9*T2^12 + 
      6178*T1^10*T2^12 - 3998*T1^11*T2^12 - 1442*T1^12*T2^12 + 
      3247*T1^13*T2^12 - 1655*T1^14*T2^12 - 89*T1^15*T2^12 + 61*T1^16*T2^12 - 
      51*T1^5*T2^13 + 206*T1^6*T2^13 + 603*T1^7*T2^13 - 2330*T1^8*T2^13 + 
      3247*T1^9*T2^13 - 1390*T1^10*T2^13 - 1390*T1^11*T2^13 + 
      3247*T1^12*T2^13 - 2330*T1^13*T2^13 + 603*T1^14*T2^13 + 
      206*T1^15*T2^13 - 51*T1^16*T2^13 + 28*T1^6*T2^14 - 171*T1^7*T2^14 + 
      81*T1^8*T2^14 + 603*T1^9*T2^14 - 1655*T1^10*T2^14 + 2093*T1^11*T2^14 - 
      1655*T1^12*T2^14 + 603*T1^13*T2^14 + 81*T1^14*T2^14 - 171*T1^15*T2^14 + 
      28*T1^16*T2^14 - 9*T1^7*T2^15 + 72*T1^8*T2^15 - 171*T1^9*T2^15 + 
      206*T1^10*T2^15 - 89*T1^11*T2^15 - 89*T1^12*T2^15 + 206*T1^13*T2^15 - 
      171*T1^14*T2^15 + 72*T1^15*T2^15 - 9*T1^16*T2^15 + T1^8*T2^16 - 
      9*T1^9*T2^16 + 28*T1^10*T2^16 - 51*T1^11*T2^16 + 61*T1^12*T2^16 - 
      51*T1^13*T2^16 + 28*T1^14*T2^16 - 9*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 963] -> 
  {-((5 - 24*T + 50*T^2 - 63*T^3 + 50*T^4 - 24*T^5 + 5*T^6)/T^3), 
   (20 - 100*T1 + 221*T1^2 - 294*T1^3 + 221*T1^4 - 100*T1^5 + 20*T1^6 - 
     100*T2 + 404*T1*T2 - 611*T1^2*T2 + 363*T1^3*T2 + 363*T1^4*T2 - 
     611*T1^5*T2 + 404*T1^6*T2 - 100*T1^7*T2 + 221*T2^2 - 611*T1*T2^2 + 
     254*T1^2*T2^2 + 720*T1^3*T2^2 - 1706*T1^4*T2^2 + 720*T1^5*T2^2 + 
     254*T1^6*T2^2 - 611*T1^7*T2^2 + 221*T1^8*T2^2 - 294*T2^3 + 363*T1*T2^3 + 
     720*T1^2*T2^3 - 876*T1^3*T2^3 + 957*T1^4*T2^3 + 957*T1^5*T2^3 - 
     876*T1^6*T2^3 + 720*T1^7*T2^3 + 363*T1^8*T2^3 - 294*T1^9*T2^3 + 
     221*T2^4 + 363*T1*T2^4 - 1706*T1^2*T2^4 + 957*T1^3*T2^4 - 
     3571*T1^4*T2^4 + 3479*T1^5*T2^4 - 3571*T1^6*T2^4 + 957*T1^7*T2^4 - 
     1706*T1^8*T2^4 + 363*T1^9*T2^4 + 221*T1^10*T2^4 - 100*T2^5 - 
     611*T1*T2^5 + 720*T1^2*T2^5 + 957*T1^3*T2^5 + 3479*T1^4*T2^5 - 
     1172*T1^5*T2^5 - 1172*T1^6*T2^5 + 3479*T1^7*T2^5 + 957*T1^8*T2^5 + 
     720*T1^9*T2^5 - 611*T1^10*T2^5 - 100*T1^11*T2^5 + 20*T2^6 + 
     404*T1*T2^6 + 254*T1^2*T2^6 - 876*T1^3*T2^6 - 3571*T1^4*T2^6 - 
     1172*T1^5*T2^6 + 2172*T1^6*T2^6 - 1172*T1^7*T2^6 - 3571*T1^8*T2^6 - 
     876*T1^9*T2^6 + 254*T1^10*T2^6 + 404*T1^11*T2^6 + 20*T1^12*T2^6 - 
     100*T1*T2^7 - 611*T1^2*T2^7 + 720*T1^3*T2^7 + 957*T1^4*T2^7 + 
     3479*T1^5*T2^7 - 1172*T1^6*T2^7 - 1172*T1^7*T2^7 + 3479*T1^8*T2^7 + 
     957*T1^9*T2^7 + 720*T1^10*T2^7 - 611*T1^11*T2^7 - 100*T1^12*T2^7 + 
     221*T1^2*T2^8 + 363*T1^3*T2^8 - 1706*T1^4*T2^8 + 957*T1^5*T2^8 - 
     3571*T1^6*T2^8 + 3479*T1^7*T2^8 - 3571*T1^8*T2^8 + 957*T1^9*T2^8 - 
     1706*T1^10*T2^8 + 363*T1^11*T2^8 + 221*T1^12*T2^8 - 294*T1^3*T2^9 + 
     363*T1^4*T2^9 + 720*T1^5*T2^9 - 876*T1^6*T2^9 + 957*T1^7*T2^9 + 
     957*T1^8*T2^9 - 876*T1^9*T2^9 + 720*T1^10*T2^9 + 363*T1^11*T2^9 - 
     294*T1^12*T2^9 + 221*T1^4*T2^10 - 611*T1^5*T2^10 + 254*T1^6*T2^10 + 
     720*T1^7*T2^10 - 1706*T1^8*T2^10 + 720*T1^9*T2^10 + 254*T1^10*T2^10 - 
     611*T1^11*T2^10 + 221*T1^12*T2^10 - 100*T1^5*T2^11 + 404*T1^6*T2^11 - 
     611*T1^7*T2^11 + 363*T1^8*T2^11 + 363*T1^9*T2^11 - 611*T1^10*T2^11 + 
     404*T1^11*T2^11 - 100*T1^12*T2^11 + 20*T1^6*T2^12 - 100*T1^7*T2^12 + 
     221*T1^8*T2^12 - 294*T1^9*T2^12 + 221*T1^10*T2^12 - 100*T1^11*T2^12 + 
     20*T1^12*T2^12)/(T1^6*T2^6)}, 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), (1 - 9*T1 + 30*T1^2 - 55*T1^3 + 65*T1^4 - 55*T1^5 + 30*T1^6 - 
     9*T1^7 + T1^8 - 9*T2 + 72*T1*T2 - 188*T1^2*T2 + 223*T1^3*T2 - 
     89*T1^4*T2 - 89*T1^5*T2 + 223*T1^6*T2 - 188*T1^7*T2 + 72*T1^8*T2 - 
     9*T1^9*T2 + 30*T2^2 - 188*T1*T2^2 + 193*T1^2*T2^2 + 522*T1^3*T2^2 - 
     1614*T1^4*T2^2 + 1977*T1^5*T2^2 - 1614*T1^6*T2^2 + 522*T1^7*T2^2 + 
     193*T1^8*T2^2 - 188*T1^9*T2^2 + 30*T1^10*T2^2 - 55*T2^3 + 223*T1*T2^3 + 
     522*T1^2*T2^3 - 2716*T1^3*T2^3 + 3699*T1^4*T2^3 - 1374*T1^5*T2^3 - 
     1374*T1^6*T2^3 + 3699*T1^7*T2^3 - 2716*T1^8*T2^3 + 522*T1^9*T2^3 + 
     223*T1^10*T2^3 - 55*T1^11*T2^3 + 65*T2^4 - 89*T1*T2^4 - 1614*T1^2*T2^4 + 
     3699*T1^3*T2^4 - 357*T1^4*T2^4 - 7001*T1^5*T2^4 + 8893*T1^6*T2^4 - 
     7001*T1^7*T2^4 - 357*T1^8*T2^4 + 3699*T1^9*T2^4 - 1614*T1^10*T2^4 - 
     89*T1^11*T2^4 + 65*T1^12*T2^4 - 55*T2^5 - 89*T1*T2^5 + 1977*T1^2*T2^5 - 
     1374*T1^3*T2^5 - 7001*T1^4*T2^5 + 12794*T1^5*T2^5 - 4540*T1^6*T2^5 - 
     4540*T1^7*T2^5 + 12794*T1^8*T2^5 - 7001*T1^9*T2^5 - 1374*T1^10*T2^5 + 
     1977*T1^11*T2^5 - 89*T1^12*T2^5 - 55*T1^13*T2^5 + 30*T2^6 + 
     223*T1*T2^6 - 1614*T1^2*T2^6 - 1374*T1^3*T2^6 + 8893*T1^4*T2^6 - 
     4540*T1^5*T2^6 - 13079*T1^6*T2^6 + 17687*T1^7*T2^6 - 13079*T1^8*T2^6 - 
     4540*T1^9*T2^6 + 8893*T1^10*T2^6 - 1374*T1^11*T2^6 - 1614*T1^12*T2^6 + 
     223*T1^13*T2^6 + 30*T1^14*T2^6 - 9*T2^7 - 188*T1*T2^7 + 522*T1^2*T2^7 + 
     3699*T1^3*T2^7 - 7001*T1^4*T2^7 - 4540*T1^5*T2^7 + 17687*T1^6*T2^7 - 
     6920*T1^7*T2^7 - 6920*T1^8*T2^7 + 17687*T1^9*T2^7 - 4540*T1^10*T2^7 - 
     7001*T1^11*T2^7 + 3699*T1^12*T2^7 + 522*T1^13*T2^7 - 188*T1^14*T2^7 - 
     9*T1^15*T2^7 + T2^8 + 72*T1*T2^8 + 193*T1^2*T2^8 - 2716*T1^3*T2^8 - 
     357*T1^4*T2^8 + 12794*T1^5*T2^8 - 13079*T1^6*T2^8 - 6920*T1^7*T2^8 + 
     13092*T1^8*T2^8 - 6920*T1^9*T2^8 - 13079*T1^10*T2^8 + 12794*T1^11*T2^8 - 
     357*T1^12*T2^8 - 2716*T1^13*T2^8 + 193*T1^14*T2^8 + 72*T1^15*T2^8 + 
     T1^16*T2^8 - 9*T1*T2^9 - 188*T1^2*T2^9 + 522*T1^3*T2^9 + 
     3699*T1^4*T2^9 - 7001*T1^5*T2^9 - 4540*T1^6*T2^9 + 17687*T1^7*T2^9 - 
     6920*T1^8*T2^9 - 6920*T1^9*T2^9 + 17687*T1^10*T2^9 - 4540*T1^11*T2^9 - 
     7001*T1^12*T2^9 + 3699*T1^13*T2^9 + 522*T1^14*T2^9 - 188*T1^15*T2^9 - 
     9*T1^16*T2^9 + 30*T1^2*T2^10 + 223*T1^3*T2^10 - 1614*T1^4*T2^10 - 
     1374*T1^5*T2^10 + 8893*T1^6*T2^10 - 4540*T1^7*T2^10 - 13079*T1^8*T2^10 + 
     17687*T1^9*T2^10 - 13079*T1^10*T2^10 - 4540*T1^11*T2^10 + 
     8893*T1^12*T2^10 - 1374*T1^13*T2^10 - 1614*T1^14*T2^10 + 
     223*T1^15*T2^10 + 30*T1^16*T2^10 - 55*T1^3*T2^11 - 89*T1^4*T2^11 + 
     1977*T1^5*T2^11 - 1374*T1^6*T2^11 - 7001*T1^7*T2^11 + 12794*T1^8*T2^11 - 
     4540*T1^9*T2^11 - 4540*T1^10*T2^11 + 12794*T1^11*T2^11 - 
     7001*T1^12*T2^11 - 1374*T1^13*T2^11 + 1977*T1^14*T2^11 - 
     89*T1^15*T2^11 - 55*T1^16*T2^11 + 65*T1^4*T2^12 - 89*T1^5*T2^12 - 
     1614*T1^6*T2^12 + 3699*T1^7*T2^12 - 357*T1^8*T2^12 - 7001*T1^9*T2^12 + 
     8893*T1^10*T2^12 - 7001*T1^11*T2^12 - 357*T1^12*T2^12 + 
     3699*T1^13*T2^12 - 1614*T1^14*T2^12 - 89*T1^15*T2^12 + 65*T1^16*T2^12 - 
     55*T1^5*T2^13 + 223*T1^6*T2^13 + 522*T1^7*T2^13 - 2716*T1^8*T2^13 + 
     3699*T1^9*T2^13 - 1374*T1^10*T2^13 - 1374*T1^11*T2^13 + 
     3699*T1^12*T2^13 - 2716*T1^13*T2^13 + 522*T1^14*T2^13 + 
     223*T1^15*T2^13 - 55*T1^16*T2^13 + 30*T1^6*T2^14 - 188*T1^7*T2^14 + 
     193*T1^8*T2^14 + 522*T1^9*T2^14 - 1614*T1^10*T2^14 + 1977*T1^11*T2^14 - 
     1614*T1^12*T2^14 + 522*T1^13*T2^14 + 193*T1^14*T2^14 - 188*T1^15*T2^14 + 
     30*T1^16*T2^14 - 9*T1^7*T2^15 + 72*T1^8*T2^15 - 188*T1^9*T2^15 + 
     223*T1^10*T2^15 - 89*T1^11*T2^15 - 89*T1^12*T2^15 + 223*T1^13*T2^15 - 
     188*T1^14*T2^15 + 72*T1^15*T2^15 - 9*T1^16*T2^15 + T1^8*T2^16 - 
     9*T1^9*T2^16 + 30*T1^10*T2^16 - 55*T1^11*T2^16 + 65*T1^12*T2^16 - 
     55*T1^13*T2^16 + 30*T1^14*T2^16 - 9*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, 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, 
   (T1 - 2*T1^2 + T1^3 + T1^4 - 2*T1^5 + T1^6 + T2 - 34*T1^2*T2 + 
     107*T1^3*T2 - 152*T1^4*T2 + 107*T1^5*T2 - 34*T1^6*T2 + T1^8*T2 - 
     2*T2^2 - 34*T1*T2^2 + 222*T1^2*T2^2 - 426*T1^3*T2^2 + 256*T1^4*T2^2 + 
     256*T1^5*T2^2 - 426*T1^6*T2^2 + 222*T1^7*T2^2 - 34*T1^8*T2^2 - 
     2*T1^9*T2^2 + T2^3 + 107*T1*T2^3 - 426*T1^2*T2^3 + 236*T1^3*T2^3 + 
     1079*T1^4*T2^3 - 2100*T1^5*T2^3 + 1079*T1^6*T2^3 + 236*T1^7*T2^3 - 
     426*T1^8*T2^3 + 107*T1^9*T2^3 + T1^10*T2^3 + T2^4 - 152*T1*T2^4 + 
     256*T1^2*T2^4 + 1079*T1^3*T2^4 - 3190*T1^4*T2^4 + 2096*T1^5*T2^4 + 
     2096*T1^6*T2^4 - 3190*T1^7*T2^4 + 1079*T1^8*T2^4 + 256*T1^9*T2^4 - 
     152*T1^10*T2^4 + T1^11*T2^4 - 2*T2^5 + 107*T1*T2^5 + 256*T1^2*T2^5 - 
     2100*T1^3*T2^5 + 2096*T1^4*T2^5 + 3403*T1^5*T2^5 - 7661*T1^6*T2^5 + 
     3403*T1^7*T2^5 + 2096*T1^8*T2^5 - 2100*T1^9*T2^5 + 256*T1^10*T2^5 + 
     107*T1^11*T2^5 - 2*T1^12*T2^5 + T2^6 - 34*T1*T2^6 - 426*T1^2*T2^6 + 
     1079*T1^3*T2^6 + 2096*T1^4*T2^6 - 7661*T1^5*T2^6 + 4938*T1^6*T2^6 + 
     4938*T1^7*T2^6 - 7661*T1^8*T2^6 + 2096*T1^9*T2^6 + 1079*T1^10*T2^6 - 
     426*T1^11*T2^6 - 34*T1^12*T2^6 + T1^13*T2^6 + 222*T1^2*T2^7 + 
     236*T1^3*T2^7 - 3190*T1^4*T2^7 + 3403*T1^5*T2^7 + 4938*T1^6*T2^7 - 
     11112*T1^7*T2^7 + 4938*T1^8*T2^7 + 3403*T1^9*T2^7 - 3190*T1^10*T2^7 + 
     236*T1^11*T2^7 + 222*T1^12*T2^7 + T1*T2^8 - 34*T1^2*T2^8 - 
     426*T1^3*T2^8 + 1079*T1^4*T2^8 + 2096*T1^5*T2^8 - 7661*T1^6*T2^8 + 
     4938*T1^7*T2^8 + 4938*T1^8*T2^8 - 7661*T1^9*T2^8 + 2096*T1^10*T2^8 + 
     1079*T1^11*T2^8 - 426*T1^12*T2^8 - 34*T1^13*T2^8 + T1^14*T2^8 - 
     2*T1^2*T2^9 + 107*T1^3*T2^9 + 256*T1^4*T2^9 - 2100*T1^5*T2^9 + 
     2096*T1^6*T2^9 + 3403*T1^7*T2^9 - 7661*T1^8*T2^9 + 3403*T1^9*T2^9 + 
     2096*T1^10*T2^9 - 2100*T1^11*T2^9 + 256*T1^12*T2^9 + 107*T1^13*T2^9 - 
     2*T1^14*T2^9 + T1^3*T2^10 - 152*T1^4*T2^10 + 256*T1^5*T2^10 + 
     1079*T1^6*T2^10 - 3190*T1^7*T2^10 + 2096*T1^8*T2^10 + 2096*T1^9*T2^10 - 
     3190*T1^10*T2^10 + 1079*T1^11*T2^10 + 256*T1^12*T2^10 - 
     152*T1^13*T2^10 + T1^14*T2^10 + T1^4*T2^11 + 107*T1^5*T2^11 - 
     426*T1^6*T2^11 + 236*T1^7*T2^11 + 1079*T1^8*T2^11 - 2100*T1^9*T2^11 + 
     1079*T1^10*T2^11 + 236*T1^11*T2^11 - 426*T1^12*T2^11 + 107*T1^13*T2^11 + 
     T1^14*T2^11 - 2*T1^5*T2^12 - 34*T1^6*T2^12 + 222*T1^7*T2^12 - 
     426*T1^8*T2^12 + 256*T1^9*T2^12 + 256*T1^10*T2^12 - 426*T1^11*T2^12 + 
     222*T1^12*T2^12 - 34*T1^13*T2^12 - 2*T1^14*T2^12 + T1^6*T2^13 - 
     34*T1^8*T2^13 + 107*T1^9*T2^13 - 152*T1^10*T2^13 + 107*T1^11*T2^13 - 
     34*T1^12*T2^13 + T1^14*T2^13 + T1^8*T2^14 - 2*T1^9*T2^14 + T1^10*T2^14 + 
     T1^11*T2^14 - 2*T1^12*T2^14 + T1^13*T2^14)/(T1^7*T2^7)}, 
 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, (1 - 4*T1 + 9*T1^2 - 14*T1^3 + 17*T1^4 - 14*T1^5 + 9*T1^6 - 4*T1^7 + 
     T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 19*T1^3*T2 - 11*T1^4*T2 - 
     11*T1^5*T2 + 19*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 9*T2^2 - 
     20*T1*T2^2 + 33*T1^2*T2^2 - 44*T1^3*T2^2 + 88*T1^4*T2^2 - 93*T1^5*T2^2 + 
     88*T1^6*T2^2 - 44*T1^7*T2^2 + 33*T1^8*T2^2 - 20*T1^9*T2^2 + 
     9*T1^10*T2^2 - 14*T2^3 + 19*T1*T2^3 - 44*T1^2*T2^3 + 86*T1^3*T2^3 - 
     206*T1^4*T2^3 + 87*T1^5*T2^3 + 87*T1^6*T2^3 - 206*T1^7*T2^3 + 
     86*T1^8*T2^3 - 44*T1^9*T2^3 + 19*T1^10*T2^3 - 14*T1^11*T2^3 + 17*T2^4 - 
     11*T1*T2^4 + 88*T1^2*T2^4 - 206*T1^3*T2^4 + 413*T1^4*T2^4 - 
     11*T1^5*T2^4 - 151*T1^6*T2^4 - 11*T1^7*T2^4 + 413*T1^8*T2^4 - 
     206*T1^9*T2^4 + 88*T1^10*T2^4 - 11*T1^11*T2^4 + 17*T1^12*T2^4 - 
     14*T2^5 - 11*T1*T2^5 - 93*T1^2*T2^5 + 87*T1^3*T2^5 - 11*T1^4*T2^5 - 
     874*T1^5*T2^5 + 407*T1^6*T2^5 + 407*T1^7*T2^5 - 874*T1^8*T2^5 - 
     11*T1^9*T2^5 + 87*T1^10*T2^5 - 93*T1^11*T2^5 - 11*T1^12*T2^5 - 
     14*T1^13*T2^5 + 9*T2^6 + 19*T1*T2^6 + 88*T1^2*T2^6 + 87*T1^3*T2^6 - 
     151*T1^4*T2^6 + 407*T1^5*T2^6 + 1760*T1^6*T2^6 - 2548*T1^7*T2^6 + 
     1760*T1^8*T2^6 + 407*T1^9*T2^6 - 151*T1^10*T2^6 + 87*T1^11*T2^6 + 
     88*T1^12*T2^6 + 19*T1^13*T2^6 + 9*T1^14*T2^6 - 4*T2^7 - 20*T1*T2^7 - 
     44*T1^2*T2^7 - 206*T1^3*T2^7 - 11*T1^4*T2^7 + 407*T1^5*T2^7 - 
     2548*T1^6*T2^7 + 1058*T1^7*T2^7 + 1058*T1^8*T2^7 - 2548*T1^9*T2^7 + 
     407*T1^10*T2^7 - 11*T1^11*T2^7 - 206*T1^12*T2^7 - 44*T1^13*T2^7 - 
     20*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 33*T1^2*T2^8 + 
     86*T1^3*T2^8 + 413*T1^4*T2^8 - 874*T1^5*T2^8 + 1760*T1^6*T2^8 + 
     1058*T1^7*T2^8 - 1884*T1^8*T2^8 + 1058*T1^9*T2^8 + 1760*T1^10*T2^8 - 
     874*T1^11*T2^8 + 413*T1^12*T2^8 + 86*T1^13*T2^8 + 33*T1^14*T2^8 + 
     12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 20*T1^2*T2^9 - 44*T1^3*T2^9 - 
     206*T1^4*T2^9 - 11*T1^5*T2^9 + 407*T1^6*T2^9 - 2548*T1^7*T2^9 + 
     1058*T1^8*T2^9 + 1058*T1^9*T2^9 - 2548*T1^10*T2^9 + 407*T1^11*T2^9 - 
     11*T1^12*T2^9 - 206*T1^13*T2^9 - 44*T1^14*T2^9 - 20*T1^15*T2^9 - 
     4*T1^16*T2^9 + 9*T1^2*T2^10 + 19*T1^3*T2^10 + 88*T1^4*T2^10 + 
     87*T1^5*T2^10 - 151*T1^6*T2^10 + 407*T1^7*T2^10 + 1760*T1^8*T2^10 - 
     2548*T1^9*T2^10 + 1760*T1^10*T2^10 + 407*T1^11*T2^10 - 151*T1^12*T2^10 + 
     87*T1^13*T2^10 + 88*T1^14*T2^10 + 19*T1^15*T2^10 + 9*T1^16*T2^10 - 
     14*T1^3*T2^11 - 11*T1^4*T2^11 - 93*T1^5*T2^11 + 87*T1^6*T2^11 - 
     11*T1^7*T2^11 - 874*T1^8*T2^11 + 407*T1^9*T2^11 + 407*T1^10*T2^11 - 
     874*T1^11*T2^11 - 11*T1^12*T2^11 + 87*T1^13*T2^11 - 93*T1^14*T2^11 - 
     11*T1^15*T2^11 - 14*T1^16*T2^11 + 17*T1^4*T2^12 - 11*T1^5*T2^12 + 
     88*T1^6*T2^12 - 206*T1^7*T2^12 + 413*T1^8*T2^12 - 11*T1^9*T2^12 - 
     151*T1^10*T2^12 - 11*T1^11*T2^12 + 413*T1^12*T2^12 - 206*T1^13*T2^12 + 
     88*T1^14*T2^12 - 11*T1^15*T2^12 + 17*T1^16*T2^12 - 14*T1^5*T2^13 + 
     19*T1^6*T2^13 - 44*T1^7*T2^13 + 86*T1^8*T2^13 - 206*T1^9*T2^13 + 
     87*T1^10*T2^13 + 87*T1^11*T2^13 - 206*T1^12*T2^13 + 86*T1^13*T2^13 - 
     44*T1^14*T2^13 + 19*T1^15*T2^13 - 14*T1^16*T2^13 + 9*T1^6*T2^14 - 
     20*T1^7*T2^14 + 33*T1^8*T2^14 - 44*T1^9*T2^14 + 88*T1^10*T2^14 - 
     93*T1^11*T2^14 + 88*T1^12*T2^14 - 44*T1^13*T2^14 + 33*T1^14*T2^14 - 
     20*T1^15*T2^14 + 9*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 
     20*T1^9*T2^15 + 19*T1^10*T2^15 - 11*T1^11*T2^15 - 11*T1^12*T2^15 + 
     19*T1^13*T2^15 - 20*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + 
     T1^8*T2^16 - 4*T1^9*T2^16 + 9*T1^10*T2^16 - 14*T1^11*T2^16 + 
     17*T1^12*T2^16 - 14*T1^13*T2^16 + 9*T1^14*T2^16 - 4*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, Knot[12, Alternating, 967] -> 
  {-((5 - 27*T + 58*T^2 - 73*T^3 + 58*T^4 - 27*T^5 + 5*T^6)/T^3), 
   (270 - 1440*T1 + 3045*T1^2 - 3812*T1^3 + 3045*T1^4 - 1440*T1^5 + 
     270*T1^6 - 1440*T2 + 6254*T1*T2 - 8617*T1^2*T2 + 4127*T1^3*T2 + 
     4127*T1^4*T2 - 8617*T1^5*T2 + 6254*T1^6*T2 - 1440*T1^7*T2 + 3045*T2^2 - 
     8617*T1*T2^2 - 3293*T1^2*T2^2 + 27372*T1^3*T2^2 - 40003*T1^4*T2^2 + 
     27372*T1^5*T2^2 - 3293*T1^6*T2^2 - 8617*T1^7*T2^2 + 3045*T1^8*T2^2 - 
     3812*T2^3 + 4127*T1*T2^3 + 27372*T1^2*T2^3 - 48278*T1^3*T2^3 + 
     24759*T1^4*T2^3 + 24759*T1^5*T2^3 - 48278*T1^6*T2^3 + 27372*T1^7*T2^3 + 
     4127*T1^8*T2^3 - 3812*T1^9*T2^3 + 3045*T2^4 + 4127*T1*T2^4 - 
     40003*T1^2*T2^4 + 24759*T1^3*T2^4 + 34998*T1^4*T2^4 - 70000*T1^5*T2^4 + 
     34998*T1^6*T2^4 + 24759*T1^7*T2^4 - 40003*T1^8*T2^4 + 4127*T1^9*T2^4 + 
     3045*T1^10*T2^4 - 1440*T2^5 - 8617*T1*T2^5 + 27372*T1^2*T2^5 + 
     24759*T1^3*T2^5 - 70000*T1^4*T2^5 + 39626*T1^5*T2^5 + 39626*T1^6*T2^5 - 
     70000*T1^7*T2^5 + 24759*T1^8*T2^5 + 27372*T1^9*T2^5 - 8617*T1^10*T2^5 - 
     1440*T1^11*T2^5 + 270*T2^6 + 6254*T1*T2^6 - 3293*T1^2*T2^6 - 
     48278*T1^3*T2^6 + 34998*T1^4*T2^6 + 39626*T1^5*T2^6 - 85524*T1^6*T2^6 + 
     39626*T1^7*T2^6 + 34998*T1^8*T2^6 - 48278*T1^9*T2^6 - 3293*T1^10*T2^6 + 
     6254*T1^11*T2^6 + 270*T1^12*T2^6 - 1440*T1*T2^7 - 8617*T1^2*T2^7 + 
     27372*T1^3*T2^7 + 24759*T1^4*T2^7 - 70000*T1^5*T2^7 + 39626*T1^6*T2^7 + 
     39626*T1^7*T2^7 - 70000*T1^8*T2^7 + 24759*T1^9*T2^7 + 27372*T1^10*T2^7 - 
     8617*T1^11*T2^7 - 1440*T1^12*T2^7 + 3045*T1^2*T2^8 + 4127*T1^3*T2^8 - 
     40003*T1^4*T2^8 + 24759*T1^5*T2^8 + 34998*T1^6*T2^8 - 70000*T1^7*T2^8 + 
     34998*T1^8*T2^8 + 24759*T1^9*T2^8 - 40003*T1^10*T2^8 + 4127*T1^11*T2^8 + 
     3045*T1^12*T2^8 - 3812*T1^3*T2^9 + 4127*T1^4*T2^9 + 27372*T1^5*T2^9 - 
     48278*T1^6*T2^9 + 24759*T1^7*T2^9 + 24759*T1^8*T2^9 - 48278*T1^9*T2^9 + 
     27372*T1^10*T2^9 + 4127*T1^11*T2^9 - 3812*T1^12*T2^9 + 3045*T1^4*T2^10 - 
     8617*T1^5*T2^10 - 3293*T1^6*T2^10 + 27372*T1^7*T2^10 - 
     40003*T1^8*T2^10 + 27372*T1^9*T2^10 - 3293*T1^10*T2^10 - 
     8617*T1^11*T2^10 + 3045*T1^12*T2^10 - 1440*T1^5*T2^11 + 
     6254*T1^6*T2^11 - 8617*T1^7*T2^11 + 4127*T1^8*T2^11 + 4127*T1^9*T2^11 - 
     8617*T1^10*T2^11 + 6254*T1^11*T2^11 - 1440*T1^12*T2^11 + 
     270*T1^6*T2^12 - 1440*T1^7*T2^12 + 3045*T1^8*T2^12 - 3812*T1^9*T2^12 + 
     3045*T1^10*T2^12 - 1440*T1^11*T2^12 + 270*T1^12*T2^12)/(T1^6*T2^6)}, 
 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, 
   (T1 - 2*T1^2 + T1^3 + T1^4 - 2*T1^5 + T1^6 + T2 - 5*T1*T2 - 3*T1^2*T2 + 
     23*T1^3*T2 - 35*T1^4*T2 + 23*T1^5*T2 - 3*T1^6*T2 - 5*T1^7*T2 + T1^8*T2 - 
     2*T2^2 - 3*T1*T2^2 + 58*T1^2*T2^2 - 102*T1^3*T2^2 + 61*T1^4*T2^2 + 
     61*T1^5*T2^2 - 102*T1^6*T2^2 + 58*T1^7*T2^2 - 3*T1^8*T2^2 - 
     2*T1^9*T2^2 + T2^3 + 23*T1*T2^3 - 102*T1^2*T2^3 - 10*T1^3*T2^3 + 
     348*T1^4*T2^3 - 600*T1^5*T2^3 + 348*T1^6*T2^3 - 10*T1^7*T2^3 - 
     102*T1^8*T2^3 + 23*T1^9*T2^3 + T1^10*T2^3 + T2^4 - 35*T1*T2^4 + 
     61*T1^2*T2^4 + 348*T1^3*T2^4 - 796*T1^4*T2^4 + 498*T1^5*T2^4 + 
     498*T1^6*T2^4 - 796*T1^7*T2^4 + 348*T1^8*T2^4 + 61*T1^9*T2^4 - 
     35*T1^10*T2^4 + T1^11*T2^4 - 2*T2^5 + 23*T1*T2^5 + 61*T1^2*T2^5 - 
     600*T1^3*T2^5 + 498*T1^4*T2^5 + 732*T1^5*T2^5 - 1626*T1^6*T2^5 + 
     732*T1^7*T2^5 + 498*T1^8*T2^5 - 600*T1^9*T2^5 + 61*T1^10*T2^5 + 
     23*T1^11*T2^5 - 2*T1^12*T2^5 + T2^6 - 3*T1*T2^6 - 102*T1^2*T2^6 + 
     348*T1^3*T2^6 + 498*T1^4*T2^6 - 1626*T1^5*T2^6 + 988*T1^6*T2^6 + 
     988*T1^7*T2^6 - 1626*T1^8*T2^6 + 498*T1^9*T2^6 + 348*T1^10*T2^6 - 
     102*T1^11*T2^6 - 3*T1^12*T2^6 + T1^13*T2^6 - 5*T1*T2^7 + 58*T1^2*T2^7 - 
     10*T1^3*T2^7 - 796*T1^4*T2^7 + 732*T1^5*T2^7 + 988*T1^6*T2^7 - 
     2136*T1^7*T2^7 + 988*T1^8*T2^7 + 732*T1^9*T2^7 - 796*T1^10*T2^7 - 
     10*T1^11*T2^7 + 58*T1^12*T2^7 - 5*T1^13*T2^7 + T1*T2^8 - 3*T1^2*T2^8 - 
     102*T1^3*T2^8 + 348*T1^4*T2^8 + 498*T1^5*T2^8 - 1626*T1^6*T2^8 + 
     988*T1^7*T2^8 + 988*T1^8*T2^8 - 1626*T1^9*T2^8 + 498*T1^10*T2^8 + 
     348*T1^11*T2^8 - 102*T1^12*T2^8 - 3*T1^13*T2^8 + T1^14*T2^8 - 
     2*T1^2*T2^9 + 23*T1^3*T2^9 + 61*T1^4*T2^9 - 600*T1^5*T2^9 + 
     498*T1^6*T2^9 + 732*T1^7*T2^9 - 1626*T1^8*T2^9 + 732*T1^9*T2^9 + 
     498*T1^10*T2^9 - 600*T1^11*T2^9 + 61*T1^12*T2^9 + 23*T1^13*T2^9 - 
     2*T1^14*T2^9 + T1^3*T2^10 - 35*T1^4*T2^10 + 61*T1^5*T2^10 + 
     348*T1^6*T2^10 - 796*T1^7*T2^10 + 498*T1^8*T2^10 + 498*T1^9*T2^10 - 
     796*T1^10*T2^10 + 348*T1^11*T2^10 + 61*T1^12*T2^10 - 35*T1^13*T2^10 + 
     T1^14*T2^10 + T1^4*T2^11 + 23*T1^5*T2^11 - 102*T1^6*T2^11 - 
     10*T1^7*T2^11 + 348*T1^8*T2^11 - 600*T1^9*T2^11 + 348*T1^10*T2^11 - 
     10*T1^11*T2^11 - 102*T1^12*T2^11 + 23*T1^13*T2^11 + T1^14*T2^11 - 
     2*T1^5*T2^12 - 3*T1^6*T2^12 + 58*T1^7*T2^12 - 102*T1^8*T2^12 + 
     61*T1^9*T2^12 + 61*T1^10*T2^12 - 102*T1^11*T2^12 + 58*T1^12*T2^12 - 
     3*T1^13*T2^12 - 2*T1^14*T2^12 + T1^6*T2^13 - 5*T1^7*T2^13 - 
     3*T1^8*T2^13 + 23*T1^9*T2^13 - 35*T1^10*T2^13 + 23*T1^11*T2^13 - 
     3*T1^12*T2^13 - 5*T1^13*T2^13 + T1^14*T2^13 + T1^8*T2^14 - 
     2*T1^9*T2^14 + T1^10*T2^14 + T1^11*T2^14 - 2*T1^12*T2^14 + T1^13*T2^14)/
    (T1^7*T2^7)}, Knot[12, Alternating, 969] -> 
  {(2 - 14*T + 33*T^2 - 41*T^3 + 33*T^4 - 14*T^5 + 2*T^6)/T^3, 
   (7 - 48*T1 + 112*T1^2 - 139*T1^3 + 112*T1^4 - 48*T1^5 + 7*T1^6 - 48*T2 + 
     280*T1*T2 - 433*T1^2*T2 + 181*T1^3*T2 + 181*T1^4*T2 - 433*T1^5*T2 + 
     280*T1^6*T2 - 48*T1^7*T2 + 112*T2^2 - 433*T1*T2^2 - 327*T1^2*T2^2 + 
     2116*T1^3*T2^2 - 2729*T1^4*T2^2 + 2116*T1^5*T2^2 - 327*T1^6*T2^2 - 
     433*T1^7*T2^2 + 112*T1^8*T2^2 - 139*T2^3 + 181*T1*T2^3 + 
     2116*T1^2*T2^3 - 4052*T1^3*T2^3 + 1614*T1^4*T2^3 + 1614*T1^5*T2^3 - 
     4052*T1^6*T2^3 + 2116*T1^7*T2^3 + 181*T1^8*T2^3 - 139*T1^9*T2^3 + 
     112*T2^4 + 181*T1*T2^4 - 2729*T1^2*T2^4 + 1614*T1^3*T2^4 + 
     4895*T1^4*T2^4 - 7225*T1^5*T2^4 + 4895*T1^6*T2^4 + 1614*T1^7*T2^4 - 
     2729*T1^8*T2^4 + 181*T1^9*T2^4 + 112*T1^10*T2^4 - 48*T2^5 - 
     433*T1*T2^5 + 2116*T1^2*T2^5 + 1614*T1^3*T2^5 - 7225*T1^4*T2^5 + 
     3442*T1^5*T2^5 + 3442*T1^6*T2^5 - 7225*T1^7*T2^5 + 1614*T1^8*T2^5 + 
     2116*T1^9*T2^5 - 433*T1^10*T2^5 - 48*T1^11*T2^5 + 7*T2^6 + 280*T1*T2^6 - 
     327*T1^2*T2^6 - 4052*T1^3*T2^6 + 4895*T1^4*T2^6 + 3442*T1^5*T2^6 - 
     7416*T1^6*T2^6 + 3442*T1^7*T2^6 + 4895*T1^8*T2^6 - 4052*T1^9*T2^6 - 
     327*T1^10*T2^6 + 280*T1^11*T2^6 + 7*T1^12*T2^6 - 48*T1*T2^7 - 
     433*T1^2*T2^7 + 2116*T1^3*T2^7 + 1614*T1^4*T2^7 - 7225*T1^5*T2^7 + 
     3442*T1^6*T2^7 + 3442*T1^7*T2^7 - 7225*T1^8*T2^7 + 1614*T1^9*T2^7 + 
     2116*T1^10*T2^7 - 433*T1^11*T2^7 - 48*T1^12*T2^7 + 112*T1^2*T2^8 + 
     181*T1^3*T2^8 - 2729*T1^4*T2^8 + 1614*T1^5*T2^8 + 4895*T1^6*T2^8 - 
     7225*T1^7*T2^8 + 4895*T1^8*T2^8 + 1614*T1^9*T2^8 - 2729*T1^10*T2^8 + 
     181*T1^11*T2^8 + 112*T1^12*T2^8 - 139*T1^3*T2^9 + 181*T1^4*T2^9 + 
     2116*T1^5*T2^9 - 4052*T1^6*T2^9 + 1614*T1^7*T2^9 + 1614*T1^8*T2^9 - 
     4052*T1^9*T2^9 + 2116*T1^10*T2^9 + 181*T1^11*T2^9 - 139*T1^12*T2^9 + 
     112*T1^4*T2^10 - 433*T1^5*T2^10 - 327*T1^6*T2^10 + 2116*T1^7*T2^10 - 
     2729*T1^8*T2^10 + 2116*T1^9*T2^10 - 327*T1^10*T2^10 - 433*T1^11*T2^10 + 
     112*T1^12*T2^10 - 48*T1^5*T2^11 + 280*T1^6*T2^11 - 433*T1^7*T2^11 + 
     181*T1^8*T2^11 + 181*T1^9*T2^11 - 433*T1^10*T2^11 + 280*T1^11*T2^11 - 
     48*T1^12*T2^11 + 7*T1^6*T2^12 - 48*T1^7*T2^12 + 112*T1^8*T2^12 - 
     139*T1^9*T2^12 + 112*T1^10*T2^12 - 48*T1^11*T2^12 + 7*T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   -((15 - 60*T1 + 112*T1^2 - 134*T1^3 + 141*T1^4 - 134*T1^5 + 112*T1^6 - 
      60*T1^7 + 15*T1^8 - 60*T2 + 180*T1*T2 - 208*T1^2*T2 + 88*T1^3*T2 - 
      28*T1^4*T2 - 28*T1^5*T2 + 88*T1^6*T2 - 208*T1^7*T2 + 180*T1^8*T2 - 
      60*T1^9*T2 + 112*T2^2 - 208*T1*T2^2 - 26*T1^2*T2^2 + 391*T1^3*T2^2 - 
      339*T1^4*T2^2 + 346*T1^5*T2^2 - 339*T1^6*T2^2 + 391*T1^7*T2^2 - 
      26*T1^8*T2^2 - 208*T1^9*T2^2 + 112*T1^10*T2^2 - 134*T2^3 + 88*T1*T2^3 + 
      391*T1^2*T2^3 - 604*T1^3*T2^3 + 62*T1^4*T2^3 - 39*T1^5*T2^3 - 
      39*T1^6*T2^3 + 62*T1^7*T2^3 - 604*T1^8*T2^3 + 391*T1^9*T2^3 + 
      88*T1^10*T2^3 - 134*T1^11*T2^3 + 141*T2^4 - 28*T1*T2^4 - 
      339*T1^2*T2^4 + 62*T1^3*T2^4 + 751*T1^4*T2^4 - 439*T1^5*T2^4 + 
      489*T1^6*T2^4 - 439*T1^7*T2^4 + 751*T1^8*T2^4 + 62*T1^9*T2^4 - 
      339*T1^10*T2^4 - 28*T1^11*T2^4 + 141*T1^12*T2^4 - 134*T2^5 - 
      28*T1*T2^5 + 346*T1^2*T2^5 - 39*T1^3*T2^5 - 439*T1^4*T2^5 - 
      220*T1^5*T2^5 - 8*T1^6*T2^5 - 8*T1^7*T2^5 - 220*T1^8*T2^5 - 
      439*T1^9*T2^5 - 39*T1^10*T2^5 + 346*T1^11*T2^5 - 28*T1^12*T2^5 - 
      134*T1^13*T2^5 + 112*T2^6 + 88*T1*T2^6 - 339*T1^2*T2^6 - 39*T1^3*T2^6 + 
      489*T1^4*T2^6 - 8*T1^5*T2^6 + 504*T1^6*T2^6 - 426*T1^7*T2^6 + 
      504*T1^8*T2^6 - 8*T1^9*T2^6 + 489*T1^10*T2^6 - 39*T1^11*T2^6 - 
      339*T1^12*T2^6 + 88*T1^13*T2^6 + 112*T1^14*T2^6 - 60*T2^7 - 
      208*T1*T2^7 + 391*T1^2*T2^7 + 62*T1^3*T2^7 - 439*T1^4*T2^7 - 
      8*T1^5*T2^7 - 426*T1^6*T2^7 + 74*T1^7*T2^7 + 74*T1^8*T2^7 - 
      426*T1^9*T2^7 - 8*T1^10*T2^7 - 439*T1^11*T2^7 + 62*T1^12*T2^7 + 
      391*T1^13*T2^7 - 208*T1^14*T2^7 - 60*T1^15*T2^7 + 15*T2^8 + 
      180*T1*T2^8 - 26*T1^2*T2^8 - 604*T1^3*T2^8 + 751*T1^4*T2^8 - 
      220*T1^5*T2^8 + 504*T1^6*T2^8 + 74*T1^7*T2^8 - 120*T1^8*T2^8 + 
      74*T1^9*T2^8 + 504*T1^10*T2^8 - 220*T1^11*T2^8 + 751*T1^12*T2^8 - 
      604*T1^13*T2^8 - 26*T1^14*T2^8 + 180*T1^15*T2^8 + 15*T1^16*T2^8 - 
      60*T1*T2^9 - 208*T1^2*T2^9 + 391*T1^3*T2^9 + 62*T1^4*T2^9 - 
      439*T1^5*T2^9 - 8*T1^6*T2^9 - 426*T1^7*T2^9 + 74*T1^8*T2^9 + 
      74*T1^9*T2^9 - 426*T1^10*T2^9 - 8*T1^11*T2^9 - 439*T1^12*T2^9 + 
      62*T1^13*T2^9 + 391*T1^14*T2^9 - 208*T1^15*T2^9 - 60*T1^16*T2^9 + 
      112*T1^2*T2^10 + 88*T1^3*T2^10 - 339*T1^4*T2^10 - 39*T1^5*T2^10 + 
      489*T1^6*T2^10 - 8*T1^7*T2^10 + 504*T1^8*T2^10 - 426*T1^9*T2^10 + 
      504*T1^10*T2^10 - 8*T1^11*T2^10 + 489*T1^12*T2^10 - 39*T1^13*T2^10 - 
      339*T1^14*T2^10 + 88*T1^15*T2^10 + 112*T1^16*T2^10 - 134*T1^3*T2^11 - 
      28*T1^4*T2^11 + 346*T1^5*T2^11 - 39*T1^6*T2^11 - 439*T1^7*T2^11 - 
      220*T1^8*T2^11 - 8*T1^9*T2^11 - 8*T1^10*T2^11 - 220*T1^11*T2^11 - 
      439*T1^12*T2^11 - 39*T1^13*T2^11 + 346*T1^14*T2^11 - 28*T1^15*T2^11 - 
      134*T1^16*T2^11 + 141*T1^4*T2^12 - 28*T1^5*T2^12 - 339*T1^6*T2^12 + 
      62*T1^7*T2^12 + 751*T1^8*T2^12 - 439*T1^9*T2^12 + 489*T1^10*T2^12 - 
      439*T1^11*T2^12 + 751*T1^12*T2^12 + 62*T1^13*T2^12 - 339*T1^14*T2^12 - 
      28*T1^15*T2^12 + 141*T1^16*T2^12 - 134*T1^5*T2^13 + 88*T1^6*T2^13 + 
      391*T1^7*T2^13 - 604*T1^8*T2^13 + 62*T1^9*T2^13 - 39*T1^10*T2^13 - 
      39*T1^11*T2^13 + 62*T1^12*T2^13 - 604*T1^13*T2^13 + 391*T1^14*T2^13 + 
      88*T1^15*T2^13 - 134*T1^16*T2^13 + 112*T1^6*T2^14 - 208*T1^7*T2^14 - 
      26*T1^8*T2^14 + 391*T1^9*T2^14 - 339*T1^10*T2^14 + 346*T1^11*T2^14 - 
      339*T1^12*T2^14 + 391*T1^13*T2^14 - 26*T1^14*T2^14 - 208*T1^15*T2^14 + 
      112*T1^16*T2^14 - 60*T1^7*T2^15 + 180*T1^8*T2^15 - 208*T1^9*T2^15 + 
      88*T1^10*T2^15 - 28*T1^11*T2^15 - 28*T1^12*T2^15 + 88*T1^13*T2^15 - 
      208*T1^14*T2^15 + 180*T1^15*T2^15 - 60*T1^16*T2^15 + 15*T1^8*T2^16 - 
      60*T1^9*T2^16 + 112*T1^10*T2^16 - 134*T1^11*T2^16 + 141*T1^12*T2^16 - 
      134*T1^13*T2^16 + 112*T1^14*T2^16 - 60*T1^15*T2^16 + 15*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 971] -> 
  {(4 - 18*T + 37*T^2 - 45*T^3 + 37*T^4 - 18*T^5 + 4*T^6)/T^3, 
   -((64 - 284*T1 + 576*T1^2 - 696*T1^3 + 576*T1^4 - 284*T1^5 + 64*T1^6 - 
      284*T2 + 978*T1*T2 - 1300*T1^2*T2 + 536*T1^3*T2 + 536*T1^4*T2 - 
      1300*T1^5*T2 + 978*T1^6*T2 - 284*T1^7*T2 + 576*T2^2 - 1300*T1*T2^2 + 
      83*T1^2*T2^2 + 2835*T1^3*T2^2 - 3837*T1^4*T2^2 + 2835*T1^5*T2^2 + 
      83*T1^6*T2^2 - 1300*T1^7*T2^2 + 576*T1^8*T2^2 - 696*T2^3 + 
      536*T1*T2^3 + 2835*T1^2*T2^3 - 5564*T1^3*T2^3 + 2234*T1^4*T2^3 + 
      2234*T1^5*T2^3 - 5564*T1^6*T2^3 + 2835*T1^7*T2^3 + 536*T1^8*T2^3 - 
      696*T1^9*T2^3 + 576*T2^4 + 536*T1*T2^4 - 3837*T1^2*T2^4 + 
      2234*T1^3*T2^4 + 5897*T1^4*T2^4 - 8639*T1^5*T2^4 + 5897*T1^6*T2^4 + 
      2234*T1^7*T2^4 - 3837*T1^8*T2^4 + 536*T1^9*T2^4 + 576*T1^10*T2^4 - 
      284*T2^5 - 1300*T1*T2^5 + 2835*T1^2*T2^5 + 2234*T1^3*T2^5 - 
      8639*T1^4*T2^5 + 3760*T1^5*T2^5 + 3760*T1^6*T2^5 - 8639*T1^7*T2^5 + 
      2234*T1^8*T2^5 + 2835*T1^9*T2^5 - 1300*T1^10*T2^5 - 284*T1^11*T2^5 + 
      64*T2^6 + 978*T1*T2^6 + 83*T1^2*T2^6 - 5564*T1^3*T2^6 + 
      5897*T1^4*T2^6 + 3760*T1^5*T2^6 - 7440*T1^6*T2^6 + 3760*T1^7*T2^6 + 
      5897*T1^8*T2^6 - 5564*T1^9*T2^6 + 83*T1^10*T2^6 + 978*T1^11*T2^6 + 
      64*T1^12*T2^6 - 284*T1*T2^7 - 1300*T1^2*T2^7 + 2835*T1^3*T2^7 + 
      2234*T1^4*T2^7 - 8639*T1^5*T2^7 + 3760*T1^6*T2^7 + 3760*T1^7*T2^7 - 
      8639*T1^8*T2^7 + 2234*T1^9*T2^7 + 2835*T1^10*T2^7 - 1300*T1^11*T2^7 - 
      284*T1^12*T2^7 + 576*T1^2*T2^8 + 536*T1^3*T2^8 - 3837*T1^4*T2^8 + 
      2234*T1^5*T2^8 + 5897*T1^6*T2^8 - 8639*T1^7*T2^8 + 5897*T1^8*T2^8 + 
      2234*T1^9*T2^8 - 3837*T1^10*T2^8 + 536*T1^11*T2^8 + 576*T1^12*T2^8 - 
      696*T1^3*T2^9 + 536*T1^4*T2^9 + 2835*T1^5*T2^9 - 5564*T1^6*T2^9 + 
      2234*T1^7*T2^9 + 2234*T1^8*T2^9 - 5564*T1^9*T2^9 + 2835*T1^10*T2^9 + 
      536*T1^11*T2^9 - 696*T1^12*T2^9 + 576*T1^4*T2^10 - 1300*T1^5*T2^10 + 
      83*T1^6*T2^10 + 2835*T1^7*T2^10 - 3837*T1^8*T2^10 + 2835*T1^9*T2^10 + 
      83*T1^10*T2^10 - 1300*T1^11*T2^10 + 576*T1^12*T2^10 - 284*T1^5*T2^11 + 
      978*T1^6*T2^11 - 1300*T1^7*T2^11 + 536*T1^8*T2^11 + 536*T1^9*T2^11 - 
      1300*T1^10*T2^11 + 978*T1^11*T2^11 - 284*T1^12*T2^11 + 64*T1^6*T2^12 - 
      284*T1^7*T2^12 + 576*T1^8*T2^12 - 696*T1^9*T2^12 + 576*T1^10*T2^12 - 
      284*T1^11*T2^12 + 64*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), (7 - 36*T1 + 87*T1^2 - 130*T1^3 + 141*T1^4 - 130*T1^5 + 87*T1^6 - 
     36*T1^7 + 7*T1^8 - 36*T2 + 148*T1*T2 - 260*T1^2*T2 + 219*T1^3*T2 - 
     55*T1^4*T2 - 55*T1^5*T2 + 219*T1^6*T2 - 260*T1^7*T2 + 148*T1^8*T2 - 
     36*T1^9*T2 + 87*T2^2 - 260*T1*T2^2 + 209*T1^2*T2^2 + 273*T1^3*T2^2 - 
     696*T1^4*T2^2 + 621*T1^5*T2^2 - 696*T1^6*T2^2 + 273*T1^7*T2^2 + 
     209*T1^8*T2^2 - 260*T1^9*T2^2 + 87*T1^10*T2^2 - 130*T2^3 + 219*T1*T2^3 + 
     273*T1^2*T2^3 - 1136*T1^3*T2^3 + 1076*T1^4*T2^3 - 82*T1^5*T2^3 - 
     82*T1^6*T2^3 + 1076*T1^7*T2^3 - 1136*T1^8*T2^3 + 273*T1^9*T2^3 + 
     219*T1^10*T2^3 - 130*T1^11*T2^3 + 141*T2^4 - 55*T1*T2^4 - 
     696*T1^2*T2^4 + 1076*T1^3*T2^4 + 382*T1^4*T2^4 - 2013*T1^5*T2^4 + 
     1474*T1^6*T2^4 - 2013*T1^7*T2^4 + 382*T1^8*T2^4 + 1076*T1^9*T2^4 - 
     696*T1^10*T2^4 - 55*T1^11*T2^4 + 141*T1^12*T2^4 - 130*T2^5 - 
     55*T1*T2^5 + 621*T1^2*T2^5 - 82*T1^3*T2^5 - 2013*T1^4*T2^5 + 
     2416*T1^5*T2^5 - 157*T1^6*T2^5 - 157*T1^7*T2^5 + 2416*T1^8*T2^5 - 
     2013*T1^9*T2^5 - 82*T1^10*T2^5 + 621*T1^11*T2^5 - 55*T1^12*T2^5 - 
     130*T1^13*T2^5 + 87*T2^6 + 219*T1*T2^6 - 696*T1^2*T2^6 - 82*T1^3*T2^6 + 
     1474*T1^4*T2^6 - 157*T1^5*T2^6 - 2586*T1^6*T2^6 + 2206*T1^7*T2^6 - 
     2586*T1^8*T2^6 - 157*T1^9*T2^6 + 1474*T1^10*T2^6 - 82*T1^11*T2^6 - 
     696*T1^12*T2^6 + 219*T1^13*T2^6 + 87*T1^14*T2^6 - 36*T2^7 - 
     260*T1*T2^7 + 273*T1^2*T2^7 + 1076*T1^3*T2^7 - 2013*T1^4*T2^7 - 
     157*T1^5*T2^7 + 2206*T1^6*T2^7 - 522*T1^7*T2^7 - 522*T1^8*T2^7 + 
     2206*T1^9*T2^7 - 157*T1^10*T2^7 - 2013*T1^11*T2^7 + 1076*T1^12*T2^7 + 
     273*T1^13*T2^7 - 260*T1^14*T2^7 - 36*T1^15*T2^7 + 7*T2^8 + 148*T1*T2^8 + 
     209*T1^2*T2^8 - 1136*T1^3*T2^8 + 382*T1^4*T2^8 + 2416*T1^5*T2^8 - 
     2586*T1^6*T2^8 - 522*T1^7*T2^8 + 1128*T1^8*T2^8 - 522*T1^9*T2^8 - 
     2586*T1^10*T2^8 + 2416*T1^11*T2^8 + 382*T1^12*T2^8 - 1136*T1^13*T2^8 + 
     209*T1^14*T2^8 + 148*T1^15*T2^8 + 7*T1^16*T2^8 - 36*T1*T2^9 - 
     260*T1^2*T2^9 + 273*T1^3*T2^9 + 1076*T1^4*T2^9 - 2013*T1^5*T2^9 - 
     157*T1^6*T2^9 + 2206*T1^7*T2^9 - 522*T1^8*T2^9 - 522*T1^9*T2^9 + 
     2206*T1^10*T2^9 - 157*T1^11*T2^9 - 2013*T1^12*T2^9 + 1076*T1^13*T2^9 + 
     273*T1^14*T2^9 - 260*T1^15*T2^9 - 36*T1^16*T2^9 + 87*T1^2*T2^10 + 
     219*T1^3*T2^10 - 696*T1^4*T2^10 - 82*T1^5*T2^10 + 1474*T1^6*T2^10 - 
     157*T1^7*T2^10 - 2586*T1^8*T2^10 + 2206*T1^9*T2^10 - 2586*T1^10*T2^10 - 
     157*T1^11*T2^10 + 1474*T1^12*T2^10 - 82*T1^13*T2^10 - 696*T1^14*T2^10 + 
     219*T1^15*T2^10 + 87*T1^16*T2^10 - 130*T1^3*T2^11 - 55*T1^4*T2^11 + 
     621*T1^5*T2^11 - 82*T1^6*T2^11 - 2013*T1^7*T2^11 + 2416*T1^8*T2^11 - 
     157*T1^9*T2^11 - 157*T1^10*T2^11 + 2416*T1^11*T2^11 - 2013*T1^12*T2^11 - 
     82*T1^13*T2^11 + 621*T1^14*T2^11 - 55*T1^15*T2^11 - 130*T1^16*T2^11 + 
     141*T1^4*T2^12 - 55*T1^5*T2^12 - 696*T1^6*T2^12 + 1076*T1^7*T2^12 + 
     382*T1^8*T2^12 - 2013*T1^9*T2^12 + 1474*T1^10*T2^12 - 2013*T1^11*T2^12 + 
     382*T1^12*T2^12 + 1076*T1^13*T2^12 - 696*T1^14*T2^12 - 55*T1^15*T2^12 + 
     141*T1^16*T2^12 - 130*T1^5*T2^13 + 219*T1^6*T2^13 + 273*T1^7*T2^13 - 
     1136*T1^8*T2^13 + 1076*T1^9*T2^13 - 82*T1^10*T2^13 - 82*T1^11*T2^13 + 
     1076*T1^12*T2^13 - 1136*T1^13*T2^13 + 273*T1^14*T2^13 + 
     219*T1^15*T2^13 - 130*T1^16*T2^13 + 87*T1^6*T2^14 - 260*T1^7*T2^14 + 
     209*T1^8*T2^14 + 273*T1^9*T2^14 - 696*T1^10*T2^14 + 621*T1^11*T2^14 - 
     696*T1^12*T2^14 + 273*T1^13*T2^14 + 209*T1^14*T2^14 - 260*T1^15*T2^14 + 
     87*T1^16*T2^14 - 36*T1^7*T2^15 + 148*T1^8*T2^15 - 260*T1^9*T2^15 + 
     219*T1^10*T2^15 - 55*T1^11*T2^15 - 55*T1^12*T2^15 + 219*T1^13*T2^15 - 
     260*T1^14*T2^15 + 148*T1^15*T2^15 - 36*T1^16*T2^15 + 7*T1^8*T2^16 - 
     36*T1^9*T2^16 + 87*T1^10*T2^16 - 130*T1^11*T2^16 + 141*T1^12*T2^16 - 
     130*T1^13*T2^16 + 87*T1^14*T2^16 - 36*T1^15*T2^16 + 7*T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 973] -> 
  {(8 - 29*T + 53*T^2 - 63*T^3 + 53*T^4 - 29*T^5 + 8*T^6)/T^3, 
   (1624 - 5771*T1 + 10444*T1^2 - 12364*T1^3 + 10444*T1^4 - 5771*T1^5 + 
     1624*T1^6 - 5771*T2 + 14830*T1*T2 - 16783*T1^2*T2 + 6925*T1^3*T2 + 
     6925*T1^4*T2 - 16783*T1^5*T2 + 14830*T1^6*T2 - 5771*T1^7*T2 + 
     10444*T2^2 - 16783*T1*T2^2 + 4017*T1^2*T2^2 + 18028*T1^3*T2^2 - 
     25847*T1^4*T2^2 + 18028*T1^5*T2^2 + 4017*T1^6*T2^2 - 16783*T1^7*T2^2 + 
     10444*T1^8*T2^2 - 12364*T2^3 + 6925*T1*T2^3 + 18028*T1^2*T2^3 - 
     30778*T1^3*T2^3 + 11745*T1^4*T2^3 + 11745*T1^5*T2^3 - 30778*T1^6*T2^3 + 
     18028*T1^7*T2^3 + 6925*T1^8*T2^3 - 12364*T1^9*T2^3 + 10444*T2^4 + 
     6925*T1*T2^4 - 25847*T1^2*T2^4 + 11745*T1^3*T2^4 + 24322*T1^4*T2^4 - 
     32954*T1^5*T2^4 + 24322*T1^6*T2^4 + 11745*T1^7*T2^4 - 25847*T1^8*T2^4 + 
     6925*T1^9*T2^4 + 10444*T1^10*T2^4 - 5771*T2^5 - 16783*T1*T2^5 + 
     18028*T1^2*T2^5 + 11745*T1^3*T2^5 - 32954*T1^4*T2^5 + 10622*T1^5*T2^5 + 
     10622*T1^6*T2^5 - 32954*T1^7*T2^5 + 11745*T1^8*T2^5 + 18028*T1^9*T2^5 - 
     16783*T1^10*T2^5 - 5771*T1^11*T2^5 + 1624*T2^6 + 14830*T1*T2^6 + 
     4017*T1^2*T2^6 - 30778*T1^3*T2^6 + 24322*T1^4*T2^6 + 10622*T1^5*T2^6 - 
     15888*T1^6*T2^6 + 10622*T1^7*T2^6 + 24322*T1^8*T2^6 - 30778*T1^9*T2^6 + 
     4017*T1^10*T2^6 + 14830*T1^11*T2^6 + 1624*T1^12*T2^6 - 5771*T1*T2^7 - 
     16783*T1^2*T2^7 + 18028*T1^3*T2^7 + 11745*T1^4*T2^7 - 32954*T1^5*T2^7 + 
     10622*T1^6*T2^7 + 10622*T1^7*T2^7 - 32954*T1^8*T2^7 + 11745*T1^9*T2^7 + 
     18028*T1^10*T2^7 - 16783*T1^11*T2^7 - 5771*T1^12*T2^7 + 
     10444*T1^2*T2^8 + 6925*T1^3*T2^8 - 25847*T1^4*T2^8 + 11745*T1^5*T2^8 + 
     24322*T1^6*T2^8 - 32954*T1^7*T2^8 + 24322*T1^8*T2^8 + 11745*T1^9*T2^8 - 
     25847*T1^10*T2^8 + 6925*T1^11*T2^8 + 10444*T1^12*T2^8 - 
     12364*T1^3*T2^9 + 6925*T1^4*T2^9 + 18028*T1^5*T2^9 - 30778*T1^6*T2^9 + 
     11745*T1^7*T2^9 + 11745*T1^8*T2^9 - 30778*T1^9*T2^9 + 18028*T1^10*T2^9 + 
     6925*T1^11*T2^9 - 12364*T1^12*T2^9 + 10444*T1^4*T2^10 - 
     16783*T1^5*T2^10 + 4017*T1^6*T2^10 + 18028*T1^7*T2^10 - 
     25847*T1^8*T2^10 + 18028*T1^9*T2^10 + 4017*T1^10*T2^10 - 
     16783*T1^11*T2^10 + 10444*T1^12*T2^10 - 5771*T1^5*T2^11 + 
     14830*T1^6*T2^11 - 16783*T1^7*T2^11 + 6925*T1^8*T2^11 + 
     6925*T1^9*T2^11 - 16783*T1^10*T2^11 + 14830*T1^11*T2^11 - 
     5771*T1^12*T2^11 + 1624*T1^6*T2^12 - 5771*T1^7*T2^12 + 
     10444*T1^8*T2^12 - 12364*T1^9*T2^12 + 10444*T1^10*T2^12 - 
     5771*T1^11*T2^12 + 1624*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 974] -> {(13 - 44*T + 63*T^2 - 44*T^3 + 13*T^4)/T^2, 
   (5226 - 17354*T1 + 24746*T1^2 - 17354*T1^3 + 5226*T1^4 - 17354*T2 + 
     40438*T1*T2 - 24671*T1^2*T2 - 24671*T1^3*T2 + 40438*T1^4*T2 - 
     17354*T1^5*T2 + 24746*T2^2 - 24671*T1*T2^2 - 50915*T1^2*T2^2 + 
     111241*T1^3*T2^2 - 50915*T1^4*T2^2 - 24671*T1^5*T2^2 + 24746*T1^6*T2^2 - 
     17354*T2^3 - 24671*T1*T2^3 + 111241*T1^2*T2^3 - 77954*T1^3*T2^3 - 
     77954*T1^4*T2^3 + 111241*T1^5*T2^3 - 24671*T1^6*T2^3 - 17354*T1^7*T2^3 + 
     5226*T2^4 + 40438*T1*T2^4 - 50915*T1^2*T2^4 - 77954*T1^3*T2^4 + 
     187608*T1^4*T2^4 - 77954*T1^5*T2^4 - 50915*T1^6*T2^4 + 40438*T1^7*T2^4 + 
     5226*T1^8*T2^4 - 17354*T1*T2^5 - 24671*T1^2*T2^5 + 111241*T1^3*T2^5 - 
     77954*T1^4*T2^5 - 77954*T1^5*T2^5 + 111241*T1^6*T2^5 - 24671*T1^7*T2^5 - 
     17354*T1^8*T2^5 + 24746*T1^2*T2^6 - 24671*T1^3*T2^6 - 50915*T1^4*T2^6 + 
     111241*T1^5*T2^6 - 50915*T1^6*T2^6 - 24671*T1^7*T2^6 + 24746*T1^8*T2^6 - 
     17354*T1^3*T2^7 + 40438*T1^4*T2^7 - 24671*T1^5*T2^7 - 24671*T1^6*T2^7 + 
     40438*T1^7*T2^7 - 17354*T1^8*T2^7 + 5226*T1^4*T2^8 - 17354*T1^5*T2^8 + 
     24746*T1^6*T2^8 - 17354*T1^7*T2^8 + 5226*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, Alternating, 975] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 2*T + T^2)*(1 - 2*T + 2*T^2))/T^3), 
   (4 - 32*T1 + 102*T1^2 - 154*T1^3 + 102*T1^4 - 32*T1^5 + 4*T1^6 - 32*T2 + 
     200*T1*T2 - 458*T1^2*T2 + 324*T1^3*T2 + 324*T1^4*T2 - 458*T1^5*T2 + 
     200*T1^6*T2 - 32*T1^7*T2 + 102*T2^2 - 458*T1*T2^2 + 517*T1^2*T2^2 + 
     767*T1^3*T2^2 - 2255*T1^4*T2^2 + 767*T1^5*T2^2 + 517*T1^6*T2^2 - 
     458*T1^7*T2^2 + 102*T1^8*T2^2 - 154*T2^3 + 324*T1*T2^3 + 767*T1^2*T2^3 - 
     3100*T1^3*T2^3 + 2922*T1^4*T2^3 + 2922*T1^5*T2^3 - 3100*T1^6*T2^3 + 
     767*T1^7*T2^3 + 324*T1^8*T2^3 - 154*T1^9*T2^3 + 102*T2^4 + 324*T1*T2^4 - 
     2255*T1^2*T2^4 + 2922*T1^3*T2^4 + 1222*T1^4*T2^4 - 8524*T1^5*T2^4 + 
     1222*T1^6*T2^4 + 2922*T1^7*T2^4 - 2255*T1^8*T2^4 + 324*T1^9*T2^4 + 
     102*T1^10*T2^4 - 32*T2^5 - 458*T1*T2^5 + 767*T1^2*T2^5 + 
     2922*T1^3*T2^5 - 8524*T1^4*T2^5 + 8732*T1^5*T2^5 + 8732*T1^6*T2^5 - 
     8524*T1^7*T2^5 + 2922*T1^8*T2^5 + 767*T1^9*T2^5 - 458*T1^10*T2^5 - 
     32*T1^11*T2^5 + 4*T2^6 + 200*T1*T2^6 + 517*T1^2*T2^6 - 3100*T1^3*T2^6 + 
     1222*T1^4*T2^6 + 8732*T1^5*T2^6 - 23352*T1^6*T2^6 + 8732*T1^7*T2^6 + 
     1222*T1^8*T2^6 - 3100*T1^9*T2^6 + 517*T1^10*T2^6 + 200*T1^11*T2^6 + 
     4*T1^12*T2^6 - 32*T1*T2^7 - 458*T1^2*T2^7 + 767*T1^3*T2^7 + 
     2922*T1^4*T2^7 - 8524*T1^5*T2^7 + 8732*T1^6*T2^7 + 8732*T1^7*T2^7 - 
     8524*T1^8*T2^7 + 2922*T1^9*T2^7 + 767*T1^10*T2^7 - 458*T1^11*T2^7 - 
     32*T1^12*T2^7 + 102*T1^2*T2^8 + 324*T1^3*T2^8 - 2255*T1^4*T2^8 + 
     2922*T1^5*T2^8 + 1222*T1^6*T2^8 - 8524*T1^7*T2^8 + 1222*T1^8*T2^8 + 
     2922*T1^9*T2^8 - 2255*T1^10*T2^8 + 324*T1^11*T2^8 + 102*T1^12*T2^8 - 
     154*T1^3*T2^9 + 324*T1^4*T2^9 + 767*T1^5*T2^9 - 3100*T1^6*T2^9 + 
     2922*T1^7*T2^9 + 2922*T1^8*T2^9 - 3100*T1^9*T2^9 + 767*T1^10*T2^9 + 
     324*T1^11*T2^9 - 154*T1^12*T2^9 + 102*T1^4*T2^10 - 458*T1^5*T2^10 + 
     517*T1^6*T2^10 + 767*T1^7*T2^10 - 2255*T1^8*T2^10 + 767*T1^9*T2^10 + 
     517*T1^10*T2^10 - 458*T1^11*T2^10 + 102*T1^12*T2^10 - 32*T1^5*T2^11 + 
     200*T1^6*T2^11 - 458*T1^7*T2^11 + 324*T1^8*T2^11 + 324*T1^9*T2^11 - 
     458*T1^10*T2^11 + 200*T1^11*T2^11 - 32*T1^12*T2^11 + 4*T1^6*T2^12 - 
     32*T1^7*T2^12 + 102*T1^8*T2^12 - 154*T1^9*T2^12 + 102*T1^10*T2^12 - 
     32*T1^11*T2^12 + 4*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 976] -> 
  {(4 - 25*T + 66*T^2 - 89*T^3 + 66*T^4 - 25*T^5 + 4*T^6)/T^3, 
   -((68 - 428*T1 + 1132*T1^2 - 1522*T1^3 + 1132*T1^4 - 428*T1^5 + 68*T1^6 - 
      428*T2 + 2270*T1*T2 - 4446*T1^2*T2 + 2470*T1^3*T2 + 2470*T1^4*T2 - 
      4446*T1^5*T2 + 2270*T1^6*T2 - 428*T1^7*T2 + 1132*T2^2 - 4446*T1*T2^2 + 
      3049*T1^2*T2^2 + 12493*T1^3*T2^2 - 22927*T1^4*T2^2 + 12493*T1^5*T2^2 + 
      3049*T1^6*T2^2 - 4446*T1^7*T2^2 + 1132*T1^8*T2^2 - 1522*T2^3 + 
      2470*T1*T2^3 + 12493*T1^2*T2^3 - 41872*T1^3*T2^3 + 25791*T1^4*T2^3 + 
      25791*T1^5*T2^3 - 41872*T1^6*T2^3 + 12493*T1^7*T2^3 + 2470*T1^8*T2^3 - 
      1522*T1^9*T2^3 + 1132*T2^4 + 2470*T1*T2^4 - 22927*T1^2*T2^4 + 
      25791*T1^3*T2^4 + 59938*T1^4*T2^4 - 120628*T1^5*T2^4 + 
      59938*T1^6*T2^4 + 25791*T1^7*T2^4 - 22927*T1^8*T2^4 + 2470*T1^9*T2^4 + 
      1132*T1^10*T2^4 - 428*T2^5 - 4446*T1*T2^5 + 12493*T1^2*T2^5 + 
      25791*T1^3*T2^5 - 120628*T1^4*T2^5 + 77344*T1^5*T2^5 + 
      77344*T1^6*T2^5 - 120628*T1^7*T2^5 + 25791*T1^8*T2^5 + 
      12493*T1^9*T2^5 - 4446*T1^10*T2^5 - 428*T1^11*T2^5 + 68*T2^6 + 
      2270*T1*T2^6 + 3049*T1^2*T2^6 - 41872*T1^3*T2^6 + 59938*T1^4*T2^6 + 
      77344*T1^5*T2^6 - 178464*T1^6*T2^6 + 77344*T1^7*T2^6 + 
      59938*T1^8*T2^6 - 41872*T1^9*T2^6 + 3049*T1^10*T2^6 + 2270*T1^11*T2^6 + 
      68*T1^12*T2^6 - 428*T1*T2^7 - 4446*T1^2*T2^7 + 12493*T1^3*T2^7 + 
      25791*T1^4*T2^7 - 120628*T1^5*T2^7 + 77344*T1^6*T2^7 + 
      77344*T1^7*T2^7 - 120628*T1^8*T2^7 + 25791*T1^9*T2^7 + 
      12493*T1^10*T2^7 - 4446*T1^11*T2^7 - 428*T1^12*T2^7 + 1132*T1^2*T2^8 + 
      2470*T1^3*T2^8 - 22927*T1^4*T2^8 + 25791*T1^5*T2^8 + 59938*T1^6*T2^8 - 
      120628*T1^7*T2^8 + 59938*T1^8*T2^8 + 25791*T1^9*T2^8 - 
      22927*T1^10*T2^8 + 2470*T1^11*T2^8 + 1132*T1^12*T2^8 - 1522*T1^3*T2^9 + 
      2470*T1^4*T2^9 + 12493*T1^5*T2^9 - 41872*T1^6*T2^9 + 25791*T1^7*T2^9 + 
      25791*T1^8*T2^9 - 41872*T1^9*T2^9 + 12493*T1^10*T2^9 + 
      2470*T1^11*T2^9 - 1522*T1^12*T2^9 + 1132*T1^4*T2^10 - 4446*T1^5*T2^10 + 
      3049*T1^6*T2^10 + 12493*T1^7*T2^10 - 22927*T1^8*T2^10 + 
      12493*T1^9*T2^10 + 3049*T1^10*T2^10 - 4446*T1^11*T2^10 + 
      1132*T1^12*T2^10 - 428*T1^5*T2^11 + 2270*T1^6*T2^11 - 4446*T1^7*T2^11 + 
      2470*T1^8*T2^11 + 2470*T1^9*T2^11 - 4446*T1^10*T2^11 + 
      2270*T1^11*T2^11 - 428*T1^12*T2^11 + 68*T1^6*T2^12 - 428*T1^7*T2^12 + 
      1132*T1^8*T2^12 - 1522*T1^9*T2^12 + 1132*T1^10*T2^12 - 
      428*T1^11*T2^12 + 68*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), -((25 - 123*T1 + 266*T1^2 - 407*T1^3 + 465*T1^4 - 407*T1^5 + 
      266*T1^6 - 123*T1^7 + 25*T1^8 - 123*T2 + 484*T1*T2 - 711*T1^2*T2 + 
      703*T1^3*T2 - 290*T1^4*T2 - 290*T1^5*T2 + 703*T1^6*T2 - 711*T1^7*T2 + 
      484*T1^8*T2 - 123*T1^9*T2 + 266*T2^2 - 711*T1*T2^2 + 139*T1^2*T2^2 + 
      832*T1^3*T2^2 - 2175*T1^4*T2^2 + 2737*T1^5*T2^2 - 2175*T1^6*T2^2 + 
      832*T1^7*T2^2 + 139*T1^8*T2^2 - 711*T1^9*T2^2 + 266*T1^10*T2^2 - 
      407*T2^3 + 703*T1*T2^3 + 832*T1^2*T2^3 - 1560*T1^3*T2^3 + 
      2154*T1^4*T2^3 - 917*T1^5*T2^3 - 917*T1^6*T2^3 + 2154*T1^7*T2^3 - 
      1560*T1^8*T2^3 + 832*T1^9*T2^3 + 703*T1^10*T2^3 - 407*T1^11*T2^3 + 
      465*T2^4 - 290*T1*T2^4 - 2175*T1^2*T2^4 + 2154*T1^3*T2^4 - 
      2835*T1^4*T2^4 + 1475*T1^5*T2^4 - 1039*T1^6*T2^4 + 1475*T1^7*T2^4 - 
      2835*T1^8*T2^4 + 2154*T1^9*T2^4 - 2175*T1^10*T2^4 - 290*T1^11*T2^4 + 
      465*T1^12*T2^4 - 407*T2^5 - 290*T1*T2^5 + 2737*T1^2*T2^5 - 
      917*T1^3*T2^5 + 1475*T1^4*T2^5 + 532*T1^5*T2^5 - 161*T1^6*T2^5 - 
      161*T1^7*T2^5 + 532*T1^8*T2^5 + 1475*T1^9*T2^5 - 917*T1^10*T2^5 + 
      2737*T1^11*T2^5 - 290*T1^12*T2^5 - 407*T1^13*T2^5 + 266*T2^6 + 
      703*T1*T2^6 - 2175*T1^2*T2^6 - 917*T1^3*T2^6 - 1039*T1^4*T2^6 - 
      161*T1^5*T2^6 - 2207*T1^6*T2^6 + 2519*T1^7*T2^6 - 2207*T1^8*T2^6 - 
      161*T1^9*T2^6 - 1039*T1^10*T2^6 - 917*T1^11*T2^6 - 2175*T1^12*T2^6 + 
      703*T1^13*T2^6 + 266*T1^14*T2^6 - 123*T2^7 - 711*T1*T2^7 + 
      832*T1^2*T2^7 + 2154*T1^3*T2^7 + 1475*T1^4*T2^7 - 161*T1^5*T2^7 + 
      2519*T1^6*T2^7 - 722*T1^7*T2^7 - 722*T1^8*T2^7 + 2519*T1^9*T2^7 - 
      161*T1^10*T2^7 + 1475*T1^11*T2^7 + 2154*T1^12*T2^7 + 832*T1^13*T2^7 - 
      711*T1^14*T2^7 - 123*T1^15*T2^7 + 25*T2^8 + 484*T1*T2^8 + 
      139*T1^2*T2^8 - 1560*T1^3*T2^8 - 2835*T1^4*T2^8 + 532*T1^5*T2^8 - 
      2207*T1^6*T2^8 - 722*T1^7*T2^8 + 1020*T1^8*T2^8 - 722*T1^9*T2^8 - 
      2207*T1^10*T2^8 + 532*T1^11*T2^8 - 2835*T1^12*T2^8 - 1560*T1^13*T2^8 + 
      139*T1^14*T2^8 + 484*T1^15*T2^8 + 25*T1^16*T2^8 - 123*T1*T2^9 - 
      711*T1^2*T2^9 + 832*T1^3*T2^9 + 2154*T1^4*T2^9 + 1475*T1^5*T2^9 - 
      161*T1^6*T2^9 + 2519*T1^7*T2^9 - 722*T1^8*T2^9 - 722*T1^9*T2^9 + 
      2519*T1^10*T2^9 - 161*T1^11*T2^9 + 1475*T1^12*T2^9 + 2154*T1^13*T2^9 + 
      832*T1^14*T2^9 - 711*T1^15*T2^9 - 123*T1^16*T2^9 + 266*T1^2*T2^10 + 
      703*T1^3*T2^10 - 2175*T1^4*T2^10 - 917*T1^5*T2^10 - 1039*T1^6*T2^10 - 
      161*T1^7*T2^10 - 2207*T1^8*T2^10 + 2519*T1^9*T2^10 - 2207*T1^10*T2^10 - 
      161*T1^11*T2^10 - 1039*T1^12*T2^10 - 917*T1^13*T2^10 - 
      2175*T1^14*T2^10 + 703*T1^15*T2^10 + 266*T1^16*T2^10 - 407*T1^3*T2^11 - 
      290*T1^4*T2^11 + 2737*T1^5*T2^11 - 917*T1^6*T2^11 + 1475*T1^7*T2^11 + 
      532*T1^8*T2^11 - 161*T1^9*T2^11 - 161*T1^10*T2^11 + 532*T1^11*T2^11 + 
      1475*T1^12*T2^11 - 917*T1^13*T2^11 + 2737*T1^14*T2^11 - 
      290*T1^15*T2^11 - 407*T1^16*T2^11 + 465*T1^4*T2^12 - 290*T1^5*T2^12 - 
      2175*T1^6*T2^12 + 2154*T1^7*T2^12 - 2835*T1^8*T2^12 + 1475*T1^9*T2^12 - 
      1039*T1^10*T2^12 + 1475*T1^11*T2^12 - 2835*T1^12*T2^12 + 
      2154*T1^13*T2^12 - 2175*T1^14*T2^12 - 290*T1^15*T2^12 + 
      465*T1^16*T2^12 - 407*T1^5*T2^13 + 703*T1^6*T2^13 + 832*T1^7*T2^13 - 
      1560*T1^8*T2^13 + 2154*T1^9*T2^13 - 917*T1^10*T2^13 - 917*T1^11*T2^13 + 
      2154*T1^12*T2^13 - 1560*T1^13*T2^13 + 832*T1^14*T2^13 + 
      703*T1^15*T2^13 - 407*T1^16*T2^13 + 266*T1^6*T2^14 - 711*T1^7*T2^14 + 
      139*T1^8*T2^14 + 832*T1^9*T2^14 - 2175*T1^10*T2^14 + 2737*T1^11*T2^14 - 
      2175*T1^12*T2^14 + 832*T1^13*T2^14 + 139*T1^14*T2^14 - 
      711*T1^15*T2^14 + 266*T1^16*T2^14 - 123*T1^7*T2^15 + 484*T1^8*T2^15 - 
      711*T1^9*T2^15 + 703*T1^10*T2^15 - 290*T1^11*T2^15 - 290*T1^12*T2^15 + 
      703*T1^13*T2^15 - 711*T1^14*T2^15 + 484*T1^15*T2^15 - 123*T1^16*T2^15 + 
      25*T1^8*T2^16 - 123*T1^9*T2^16 + 266*T1^10*T2^16 - 407*T1^11*T2^16 + 
      465*T1^12*T2^16 - 407*T1^13*T2^16 + 266*T1^14*T2^16 - 123*T1^15*T2^16 + 
      25*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 978] -> 
  {-((3 - 15*T + 30*T^2 - 37*T^3 + 30*T^4 - 15*T^5 + 3*T^6)/T^3), 
   -((63 - 309*T1 + 612*T1^2 - 755*T1^3 + 612*T1^4 - 309*T1^5 + 63*T1^6 - 
      309*T2 + 1206*T1*T2 - 1485*T1^2*T2 + 699*T1^3*T2 + 699*T1^4*T2 - 
      1485*T1^5*T2 + 1206*T1^6*T2 - 309*T1^7*T2 + 612*T2^2 - 1485*T1*T2^2 - 
      849*T1^2*T2^2 + 4381*T1^3*T2^2 - 6259*T1^4*T2^2 + 4381*T1^5*T2^2 - 
      849*T1^6*T2^2 - 1485*T1^7*T2^2 + 612*T1^8*T2^2 - 755*T2^3 + 
      699*T1*T2^3 + 4381*T1^2*T2^3 - 6446*T1^3*T2^3 + 3334*T1^4*T2^3 + 
      3334*T1^5*T2^3 - 6446*T1^6*T2^3 + 4381*T1^7*T2^3 + 699*T1^8*T2^3 - 
      755*T1^9*T2^3 + 612*T2^4 + 699*T1*T2^4 - 6259*T1^2*T2^4 + 
      3334*T1^3*T2^4 + 3176*T1^4*T2^4 - 7534*T1^5*T2^4 + 3176*T1^6*T2^4 + 
      3334*T1^7*T2^4 - 6259*T1^8*T2^4 + 699*T1^9*T2^4 + 612*T1^10*T2^4 - 
      309*T2^5 - 1485*T1*T2^5 + 4381*T1^2*T2^5 + 3334*T1^3*T2^5 - 
      7534*T1^4*T2^5 + 4678*T1^5*T2^5 + 4678*T1^6*T2^5 - 7534*T1^7*T2^5 + 
      3334*T1^8*T2^5 + 4381*T1^9*T2^5 - 1485*T1^10*T2^5 - 309*T1^11*T2^5 + 
      63*T2^6 + 1206*T1*T2^6 - 849*T1^2*T2^6 - 6446*T1^3*T2^6 + 
      3176*T1^4*T2^6 + 4678*T1^5*T2^6 - 10464*T1^6*T2^6 + 4678*T1^7*T2^6 + 
      3176*T1^8*T2^6 - 6446*T1^9*T2^6 - 849*T1^10*T2^6 + 1206*T1^11*T2^6 + 
      63*T1^12*T2^6 - 309*T1*T2^7 - 1485*T1^2*T2^7 + 4381*T1^3*T2^7 + 
      3334*T1^4*T2^7 - 7534*T1^5*T2^7 + 4678*T1^6*T2^7 + 4678*T1^7*T2^7 - 
      7534*T1^8*T2^7 + 3334*T1^9*T2^7 + 4381*T1^10*T2^7 - 1485*T1^11*T2^7 - 
      309*T1^12*T2^7 + 612*T1^2*T2^8 + 699*T1^3*T2^8 - 6259*T1^4*T2^8 + 
      3334*T1^5*T2^8 + 3176*T1^6*T2^8 - 7534*T1^7*T2^8 + 3176*T1^8*T2^8 + 
      3334*T1^9*T2^8 - 6259*T1^10*T2^8 + 699*T1^11*T2^8 + 612*T1^12*T2^8 - 
      755*T1^3*T2^9 + 699*T1^4*T2^9 + 4381*T1^5*T2^9 - 6446*T1^6*T2^9 + 
      3334*T1^7*T2^9 + 3334*T1^8*T2^9 - 6446*T1^9*T2^9 + 4381*T1^10*T2^9 + 
      699*T1^11*T2^9 - 755*T1^12*T2^9 + 612*T1^4*T2^10 - 1485*T1^5*T2^10 - 
      849*T1^6*T2^10 + 4381*T1^7*T2^10 - 6259*T1^8*T2^10 + 4381*T1^9*T2^10 - 
      849*T1^10*T2^10 - 1485*T1^11*T2^10 + 612*T1^12*T2^10 - 309*T1^5*T2^11 + 
      1206*T1^6*T2^11 - 1485*T1^7*T2^11 + 699*T1^8*T2^11 + 699*T1^9*T2^11 - 
      1485*T1^10*T2^11 + 1206*T1^11*T2^11 - 309*T1^12*T2^11 + 63*T1^6*T2^12 - 
      309*T1^7*T2^12 + 612*T1^8*T2^12 - 755*T1^9*T2^12 + 612*T1^10*T2^12 - 
      309*T1^11*T2^12 + 63*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 979] -> 
  {((2 - 2*T + T^2)*(1 - T + T^2)^2*(1 - 2*T + 2*T^2))/T^4, 
   -((1 - 4*T1 + 10*T1^2 - 16*T1^3 + 19*T1^4 - 16*T1^5 + 10*T1^6 - 4*T1^7 + 
      T1^8 - 4*T2 + 12*T1*T2 - 24*T1^2*T2 + 24*T1^3*T2 - 12*T1^4*T2 - 
      12*T1^5*T2 + 24*T1^6*T2 - 24*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 
      10*T2^2 - 24*T1*T2^2 + 51*T1^2*T2^2 - 70*T1^3*T2^2 + 120*T1^4*T2^2 - 
      135*T1^5*T2^2 + 120*T1^6*T2^2 - 70*T1^7*T2^2 + 51*T1^8*T2^2 - 
      24*T1^9*T2^2 + 10*T1^10*T2^2 - 16*T2^3 + 24*T1*T2^3 - 70*T1^2*T2^3 + 
      124*T1^3*T2^3 - 254*T1^4*T2^3 + 118*T1^5*T2^3 + 118*T1^6*T2^3 - 
      254*T1^7*T2^3 + 124*T1^8*T2^3 - 70*T1^9*T2^3 + 24*T1^10*T2^3 - 
      16*T1^11*T2^3 + 19*T2^4 - 12*T1*T2^4 + 120*T1^2*T2^4 - 254*T1^3*T2^4 + 
      477*T1^4*T2^4 - 27*T1^5*T2^4 - 189*T1^6*T2^4 - 27*T1^7*T2^4 + 
      477*T1^8*T2^4 - 254*T1^9*T2^4 + 120*T1^10*T2^4 - 12*T1^11*T2^4 + 
      19*T1^12*T2^4 - 16*T2^5 - 12*T1*T2^5 - 135*T1^2*T2^5 + 118*T1^3*T2^5 - 
      27*T1^4*T2^5 - 978*T1^5*T2^5 + 493*T1^6*T2^5 + 493*T1^7*T2^5 - 
      978*T1^8*T2^5 - 27*T1^9*T2^5 + 118*T1^10*T2^5 - 135*T1^11*T2^5 - 
      12*T1^12*T2^5 - 16*T1^13*T2^5 + 10*T2^6 + 24*T1*T2^6 + 120*T1^2*T2^6 + 
      118*T1^3*T2^6 - 189*T1^4*T2^6 + 493*T1^5*T2^6 + 2038*T1^6*T2^6 - 
      3122*T1^7*T2^6 + 2038*T1^8*T2^6 + 493*T1^9*T2^6 - 189*T1^10*T2^6 + 
      118*T1^11*T2^6 + 120*T1^12*T2^6 + 24*T1^13*T2^6 + 10*T1^14*T2^6 - 
      4*T2^7 - 24*T1*T2^7 - 70*T1^2*T2^7 - 254*T1^3*T2^7 - 27*T1^4*T2^7 + 
      493*T1^5*T2^7 - 3122*T1^6*T2^7 + 1468*T1^7*T2^7 + 1468*T1^8*T2^7 - 
      3122*T1^9*T2^7 + 493*T1^10*T2^7 - 27*T1^11*T2^7 - 254*T1^12*T2^7 - 
      70*T1^13*T2^7 - 24*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 
      51*T1^2*T2^8 + 124*T1^3*T2^8 + 477*T1^4*T2^8 - 978*T1^5*T2^8 + 
      2038*T1^6*T2^8 + 1468*T1^7*T2^8 - 2892*T1^8*T2^8 + 1468*T1^9*T2^8 + 
      2038*T1^10*T2^8 - 978*T1^11*T2^8 + 477*T1^12*T2^8 + 124*T1^13*T2^8 + 
      51*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 24*T1^2*T2^9 - 
      70*T1^3*T2^9 - 254*T1^4*T2^9 - 27*T1^5*T2^9 + 493*T1^6*T2^9 - 
      3122*T1^7*T2^9 + 1468*T1^8*T2^9 + 1468*T1^9*T2^9 - 3122*T1^10*T2^9 + 
      493*T1^11*T2^9 - 27*T1^12*T2^9 - 254*T1^13*T2^9 - 70*T1^14*T2^9 - 
      24*T1^15*T2^9 - 4*T1^16*T2^9 + 10*T1^2*T2^10 + 24*T1^3*T2^10 + 
      120*T1^4*T2^10 + 118*T1^5*T2^10 - 189*T1^6*T2^10 + 493*T1^7*T2^10 + 
      2038*T1^8*T2^10 - 3122*T1^9*T2^10 + 2038*T1^10*T2^10 + 
      493*T1^11*T2^10 - 189*T1^12*T2^10 + 118*T1^13*T2^10 + 120*T1^14*T2^10 + 
      24*T1^15*T2^10 + 10*T1^16*T2^10 - 16*T1^3*T2^11 - 12*T1^4*T2^11 - 
      135*T1^5*T2^11 + 118*T1^6*T2^11 - 27*T1^7*T2^11 - 978*T1^8*T2^11 + 
      493*T1^9*T2^11 + 493*T1^10*T2^11 - 978*T1^11*T2^11 - 27*T1^12*T2^11 + 
      118*T1^13*T2^11 - 135*T1^14*T2^11 - 12*T1^15*T2^11 - 16*T1^16*T2^11 + 
      19*T1^4*T2^12 - 12*T1^5*T2^12 + 120*T1^6*T2^12 - 254*T1^7*T2^12 + 
      477*T1^8*T2^12 - 27*T1^9*T2^12 - 189*T1^10*T2^12 - 27*T1^11*T2^12 + 
      477*T1^12*T2^12 - 254*T1^13*T2^12 + 120*T1^14*T2^12 - 12*T1^15*T2^12 + 
      19*T1^16*T2^12 - 16*T1^5*T2^13 + 24*T1^6*T2^13 - 70*T1^7*T2^13 + 
      124*T1^8*T2^13 - 254*T1^9*T2^13 + 118*T1^10*T2^13 + 118*T1^11*T2^13 - 
      254*T1^12*T2^13 + 124*T1^13*T2^13 - 70*T1^14*T2^13 + 24*T1^15*T2^13 - 
      16*T1^16*T2^13 + 10*T1^6*T2^14 - 24*T1^7*T2^14 + 51*T1^8*T2^14 - 
      70*T1^9*T2^14 + 120*T1^10*T2^14 - 135*T1^11*T2^14 + 120*T1^12*T2^14 - 
      70*T1^13*T2^14 + 51*T1^14*T2^14 - 24*T1^15*T2^14 + 10*T1^16*T2^14 - 
      4*T1^7*T2^15 + 12*T1^8*T2^15 - 24*T1^9*T2^15 + 24*T1^10*T2^15 - 
      12*T1^11*T2^15 - 12*T1^12*T2^15 + 24*T1^13*T2^15 - 24*T1^14*T2^15 + 
      12*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 
      10*T1^10*T2^16 - 16*T1^11*T2^16 + 19*T1^12*T2^16 - 16*T1^13*T2^16 + 
      10*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, -((17 - 92*T1 + 257*T1^2 - 436*T1^3 + 517*T1^4 - 436*T1^5 + 
      257*T1^6 - 92*T1^7 + 17*T1^8 - 92*T2 + 406*T1*T2 - 893*T1^2*T2 + 
      970*T1^3*T2 - 439*T1^4*T2 - 439*T1^5*T2 + 970*T1^6*T2 - 893*T1^7*T2 + 
      406*T1^8*T2 - 92*T1^9*T2 + 257*T2^2 - 893*T1*T2^2 + 1421*T1^2*T2^2 - 
      347*T1^3*T2^2 - 1321*T1^4*T2^2 + 2277*T1^5*T2^2 - 1321*T1^6*T2^2 - 
      347*T1^7*T2^2 + 1421*T1^8*T2^2 - 893*T1^9*T2^2 + 257*T1^10*T2^2 - 
      436*T2^3 + 970*T1*T2^3 - 347*T1^2*T2^3 - 3082*T1^3*T2^3 + 
      4304*T1^4*T2^3 - 2288*T1^5*T2^3 - 2288*T1^6*T2^3 + 4304*T1^7*T2^3 - 
      3082*T1^8*T2^3 - 347*T1^9*T2^3 + 970*T1^10*T2^3 - 436*T1^11*T2^3 + 
      517*T2^4 - 439*T1*T2^4 - 1321*T1^2*T2^4 + 4304*T1^3*T2^4 + 
      976*T1^4*T2^4 - 8529*T1^5*T2^4 + 13368*T1^6*T2^4 - 8529*T1^7*T2^4 + 
      976*T1^8*T2^4 + 4304*T1^9*T2^4 - 1321*T1^10*T2^4 - 439*T1^11*T2^4 + 
      517*T1^12*T2^4 - 436*T2^5 - 439*T1*T2^5 + 2277*T1^2*T2^5 - 
      2288*T1^3*T2^5 - 8529*T1^4*T2^5 + 12186*T1^5*T2^5 - 6997*T1^6*T2^5 - 
      6997*T1^7*T2^5 + 12186*T1^8*T2^5 - 8529*T1^9*T2^5 - 2288*T1^10*T2^5 + 
      2277*T1^11*T2^5 - 439*T1^12*T2^5 - 436*T1^13*T2^5 + 257*T2^6 + 
      970*T1*T2^6 - 1321*T1^2*T2^6 - 2288*T1^3*T2^6 + 13368*T1^4*T2^6 - 
      6997*T1^5*T2^6 - 3934*T1^6*T2^6 + 13030*T1^7*T2^6 - 3934*T1^8*T2^6 - 
      6997*T1^9*T2^6 + 13368*T1^10*T2^6 - 2288*T1^11*T2^6 - 1321*T1^12*T2^6 + 
      970*T1^13*T2^6 + 257*T1^14*T2^6 - 92*T2^7 - 893*T1*T2^7 - 
      347*T1^2*T2^7 + 4304*T1^3*T2^7 - 8529*T1^4*T2^7 - 6997*T1^5*T2^7 + 
      13030*T1^6*T2^7 - 8944*T1^7*T2^7 - 8944*T1^8*T2^7 + 13030*T1^9*T2^7 - 
      6997*T1^10*T2^7 - 8529*T1^11*T2^7 + 4304*T1^12*T2^7 - 347*T1^13*T2^7 - 
      893*T1^14*T2^7 - 92*T1^15*T2^7 + 17*T2^8 + 406*T1*T2^8 + 
      1421*T1^2*T2^8 - 3082*T1^3*T2^8 + 976*T1^4*T2^8 + 12186*T1^5*T2^8 - 
      3934*T1^6*T2^8 - 8944*T1^7*T2^8 + 20304*T1^8*T2^8 - 8944*T1^9*T2^8 - 
      3934*T1^10*T2^8 + 12186*T1^11*T2^8 + 976*T1^12*T2^8 - 3082*T1^13*T2^8 + 
      1421*T1^14*T2^8 + 406*T1^15*T2^8 + 17*T1^16*T2^8 - 92*T1*T2^9 - 
      893*T1^2*T2^9 - 347*T1^3*T2^9 + 4304*T1^4*T2^9 - 8529*T1^5*T2^9 - 
      6997*T1^6*T2^9 + 13030*T1^7*T2^9 - 8944*T1^8*T2^9 - 8944*T1^9*T2^9 + 
      13030*T1^10*T2^9 - 6997*T1^11*T2^9 - 8529*T1^12*T2^9 + 
      4304*T1^13*T2^9 - 347*T1^14*T2^9 - 893*T1^15*T2^9 - 92*T1^16*T2^9 + 
      257*T1^2*T2^10 + 970*T1^3*T2^10 - 1321*T1^4*T2^10 - 2288*T1^5*T2^10 + 
      13368*T1^6*T2^10 - 6997*T1^7*T2^10 - 3934*T1^8*T2^10 + 
      13030*T1^9*T2^10 - 3934*T1^10*T2^10 - 6997*T1^11*T2^10 + 
      13368*T1^12*T2^10 - 2288*T1^13*T2^10 - 1321*T1^14*T2^10 + 
      970*T1^15*T2^10 + 257*T1^16*T2^10 - 436*T1^3*T2^11 - 439*T1^4*T2^11 + 
      2277*T1^5*T2^11 - 2288*T1^6*T2^11 - 8529*T1^7*T2^11 + 
      12186*T1^8*T2^11 - 6997*T1^9*T2^11 - 6997*T1^10*T2^11 + 
      12186*T1^11*T2^11 - 8529*T1^12*T2^11 - 2288*T1^13*T2^11 + 
      2277*T1^14*T2^11 - 439*T1^15*T2^11 - 436*T1^16*T2^11 + 517*T1^4*T2^12 - 
      439*T1^5*T2^12 - 1321*T1^6*T2^12 + 4304*T1^7*T2^12 + 976*T1^8*T2^12 - 
      8529*T1^9*T2^12 + 13368*T1^10*T2^12 - 8529*T1^11*T2^12 + 
      976*T1^12*T2^12 + 4304*T1^13*T2^12 - 1321*T1^14*T2^12 - 
      439*T1^15*T2^12 + 517*T1^16*T2^12 - 436*T1^5*T2^13 + 970*T1^6*T2^13 - 
      347*T1^7*T2^13 - 3082*T1^8*T2^13 + 4304*T1^9*T2^13 - 2288*T1^10*T2^13 - 
      2288*T1^11*T2^13 + 4304*T1^12*T2^13 - 3082*T1^13*T2^13 - 
      347*T1^14*T2^13 + 970*T1^15*T2^13 - 436*T1^16*T2^13 + 257*T1^6*T2^14 - 
      893*T1^7*T2^14 + 1421*T1^8*T2^14 - 347*T1^9*T2^14 - 1321*T1^10*T2^14 + 
      2277*T1^11*T2^14 - 1321*T1^12*T2^14 - 347*T1^13*T2^14 + 
      1421*T1^14*T2^14 - 893*T1^15*T2^14 + 257*T1^16*T2^14 - 92*T1^7*T2^15 + 
      406*T1^8*T2^15 - 893*T1^9*T2^15 + 970*T1^10*T2^15 - 439*T1^11*T2^15 - 
      439*T1^12*T2^15 + 970*T1^13*T2^15 - 893*T1^14*T2^15 + 406*T1^15*T2^15 - 
      92*T1^16*T2^15 + 17*T1^8*T2^16 - 92*T1^9*T2^16 + 257*T1^10*T2^16 - 
      436*T1^11*T2^16 + 517*T1^12*T2^16 - 436*T1^13*T2^16 + 257*T1^14*T2^16 - 
      92*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 981] -> {((1 - T + T^2)^3*(1 - T + T^2 - T^3 + T^4))/
    T^5, -((1 - 4*T1 + 10*T1^2 - 17*T1^3 + 23*T1^4 - 25*T1^5 + 23*T1^6 - 
      17*T1^7 + 10*T1^8 - 4*T1^9 + T1^10 - 4*T2 + 12*T1*T2 - 24*T1^2*T2 + 
      28*T1^3*T2 - 24*T1^4*T2 + 8*T1^5*T2 + 8*T1^6*T2 - 24*T1^7*T2 + 
      28*T1^8*T2 - 24*T1^9*T2 + 12*T1^10*T2 - 4*T1^11*T2 + 10*T2^2 - 
      24*T1*T2^2 + 46*T1^2*T2^2 - 49*T1^3*T2^2 + 54*T1^4*T2^2 - 
      42*T1^5*T2^2 + 46*T1^6*T2^2 - 42*T1^7*T2^2 + 54*T1^8*T2^2 - 
      49*T1^9*T2^2 + 46*T1^10*T2^2 - 24*T1^11*T2^2 + 10*T1^12*T2^2 - 
      17*T2^3 + 28*T1*T2^3 - 49*T1^2*T2^3 + 26*T1^3*T2^3 - 28*T1^4*T2^3 - 
      9*T1^5*T2^3 - 7*T1^6*T2^3 - 7*T1^7*T2^3 - 9*T1^8*T2^3 - 28*T1^9*T2^3 + 
      26*T1^10*T2^3 - 49*T1^11*T2^3 + 28*T1^12*T2^3 - 17*T1^13*T2^3 + 
      23*T2^4 - 24*T1*T2^4 + 54*T1^2*T2^4 - 28*T1^3*T2^4 + 92*T1^4*T2^4 - 
      80*T1^5*T2^4 + 175*T1^6*T2^4 - 158*T1^7*T2^4 + 175*T1^8*T2^4 - 
      80*T1^9*T2^4 + 92*T1^10*T2^4 - 28*T1^11*T2^4 + 54*T1^12*T2^4 - 
      24*T1^13*T2^4 + 23*T1^14*T2^4 - 25*T2^5 + 8*T1*T2^5 - 42*T1^2*T2^5 - 
      9*T1^3*T2^5 - 80*T1^4*T2^5 + 8*T1^5*T2^5 - 110*T1^6*T2^5 - 
      2*T1^7*T2^5 - 2*T1^8*T2^5 - 110*T1^9*T2^5 + 8*T1^10*T2^5 - 
      80*T1^11*T2^5 - 9*T1^12*T2^5 - 42*T1^13*T2^5 + 8*T1^14*T2^5 - 
      25*T1^15*T2^5 + 23*T2^6 + 8*T1*T2^6 + 46*T1^2*T2^6 - 7*T1^3*T2^6 + 
      175*T1^4*T2^6 - 110*T1^5*T2^6 + 294*T1^6*T2^6 - 145*T1^7*T2^6 + 
      222*T1^8*T2^6 - 145*T1^9*T2^6 + 294*T1^10*T2^6 - 110*T1^11*T2^6 + 
      175*T1^12*T2^6 - 7*T1^13*T2^6 + 46*T1^14*T2^6 + 8*T1^15*T2^6 + 
      23*T1^16*T2^6 - 17*T2^7 - 24*T1*T2^7 - 42*T1^2*T2^7 - 7*T1^3*T2^7 - 
      158*T1^4*T2^7 - 2*T1^5*T2^7 - 145*T1^6*T2^7 - 100*T1^7*T2^7 - 
      35*T1^8*T2^7 - 35*T1^9*T2^7 - 100*T1^10*T2^7 - 145*T1^11*T2^7 - 
      2*T1^12*T2^7 - 158*T1^13*T2^7 - 7*T1^14*T2^7 - 42*T1^15*T2^7 - 
      24*T1^16*T2^7 - 17*T1^17*T2^7 + 10*T2^8 + 28*T1*T2^8 + 54*T1^2*T2^8 - 
      9*T1^3*T2^8 + 175*T1^4*T2^8 - 2*T1^5*T2^8 + 222*T1^6*T2^8 - 
      35*T1^7*T2^8 + 295*T1^8*T2^8 - 215*T1^9*T2^8 + 295*T1^10*T2^8 - 
      35*T1^11*T2^8 + 222*T1^12*T2^8 - 2*T1^13*T2^8 + 175*T1^14*T2^8 - 
      9*T1^15*T2^8 + 54*T1^16*T2^8 + 28*T1^17*T2^8 + 10*T1^18*T2^8 - 4*T2^9 - 
      24*T1*T2^9 - 49*T1^2*T2^9 - 28*T1^3*T2^9 - 80*T1^4*T2^9 - 
      110*T1^5*T2^9 - 145*T1^6*T2^9 - 35*T1^7*T2^9 - 215*T1^8*T2^9 + 
      2*T1^9*T2^9 + 2*T1^10*T2^9 - 215*T1^11*T2^9 - 35*T1^12*T2^9 - 
      145*T1^13*T2^9 - 110*T1^14*T2^9 - 80*T1^15*T2^9 - 28*T1^16*T2^9 - 
      49*T1^17*T2^9 - 24*T1^18*T2^9 - 4*T1^19*T2^9 + T2^10 + 12*T1*T2^10 + 
      46*T1^2*T2^10 + 26*T1^3*T2^10 + 92*T1^4*T2^10 + 8*T1^5*T2^10 + 
      294*T1^6*T2^10 - 100*T1^7*T2^10 + 295*T1^8*T2^10 + 2*T1^9*T2^10 + 
      60*T1^10*T2^10 + 2*T1^11*T2^10 + 295*T1^12*T2^10 - 100*T1^13*T2^10 + 
      294*T1^14*T2^10 + 8*T1^15*T2^10 + 92*T1^16*T2^10 + 26*T1^17*T2^10 + 
      46*T1^18*T2^10 + 12*T1^19*T2^10 + T1^20*T2^10 - 4*T1*T2^11 - 
      24*T1^2*T2^11 - 49*T1^3*T2^11 - 28*T1^4*T2^11 - 80*T1^5*T2^11 - 
      110*T1^6*T2^11 - 145*T1^7*T2^11 - 35*T1^8*T2^11 - 215*T1^9*T2^11 + 
      2*T1^10*T2^11 + 2*T1^11*T2^11 - 215*T1^12*T2^11 - 35*T1^13*T2^11 - 
      145*T1^14*T2^11 - 110*T1^15*T2^11 - 80*T1^16*T2^11 - 28*T1^17*T2^11 - 
      49*T1^18*T2^11 - 24*T1^19*T2^11 - 4*T1^20*T2^11 + 10*T1^2*T2^12 + 
      28*T1^3*T2^12 + 54*T1^4*T2^12 - 9*T1^5*T2^12 + 175*T1^6*T2^12 - 
      2*T1^7*T2^12 + 222*T1^8*T2^12 - 35*T1^9*T2^12 + 295*T1^10*T2^12 - 
      215*T1^11*T2^12 + 295*T1^12*T2^12 - 35*T1^13*T2^12 + 222*T1^14*T2^12 - 
      2*T1^15*T2^12 + 175*T1^16*T2^12 - 9*T1^17*T2^12 + 54*T1^18*T2^12 + 
      28*T1^19*T2^12 + 10*T1^20*T2^12 - 17*T1^3*T2^13 - 24*T1^4*T2^13 - 
      42*T1^5*T2^13 - 7*T1^6*T2^13 - 158*T1^7*T2^13 - 2*T1^8*T2^13 - 
      145*T1^9*T2^13 - 100*T1^10*T2^13 - 35*T1^11*T2^13 - 35*T1^12*T2^13 - 
      100*T1^13*T2^13 - 145*T1^14*T2^13 - 2*T1^15*T2^13 - 158*T1^16*T2^13 - 
      7*T1^17*T2^13 - 42*T1^18*T2^13 - 24*T1^19*T2^13 - 17*T1^20*T2^13 + 
      23*T1^4*T2^14 + 8*T1^5*T2^14 + 46*T1^6*T2^14 - 7*T1^7*T2^14 + 
      175*T1^8*T2^14 - 110*T1^9*T2^14 + 294*T1^10*T2^14 - 145*T1^11*T2^14 + 
      222*T1^12*T2^14 - 145*T1^13*T2^14 + 294*T1^14*T2^14 - 110*T1^15*T2^14 + 
      175*T1^16*T2^14 - 7*T1^17*T2^14 + 46*T1^18*T2^14 + 8*T1^19*T2^14 + 
      23*T1^20*T2^14 - 25*T1^5*T2^15 + 8*T1^6*T2^15 - 42*T1^7*T2^15 - 
      9*T1^8*T2^15 - 80*T1^9*T2^15 + 8*T1^10*T2^15 - 110*T1^11*T2^15 - 
      2*T1^12*T2^15 - 2*T1^13*T2^15 - 110*T1^14*T2^15 + 8*T1^15*T2^15 - 
      80*T1^16*T2^15 - 9*T1^17*T2^15 - 42*T1^18*T2^15 + 8*T1^19*T2^15 - 
      25*T1^20*T2^15 + 23*T1^6*T2^16 - 24*T1^7*T2^16 + 54*T1^8*T2^16 - 
      28*T1^9*T2^16 + 92*T1^10*T2^16 - 80*T1^11*T2^16 + 175*T1^12*T2^16 - 
      158*T1^13*T2^16 + 175*T1^14*T2^16 - 80*T1^15*T2^16 + 92*T1^16*T2^16 - 
      28*T1^17*T2^16 + 54*T1^18*T2^16 - 24*T1^19*T2^16 + 23*T1^20*T2^16 - 
      17*T1^7*T2^17 + 28*T1^8*T2^17 - 49*T1^9*T2^17 + 26*T1^10*T2^17 - 
      28*T1^11*T2^17 - 9*T1^12*T2^17 - 7*T1^13*T2^17 - 7*T1^14*T2^17 - 
      9*T1^15*T2^17 - 28*T1^16*T2^17 + 26*T1^17*T2^17 - 49*T1^18*T2^17 + 
      28*T1^19*T2^17 - 17*T1^20*T2^17 + 10*T1^8*T2^18 - 24*T1^9*T2^18 + 
      46*T1^10*T2^18 - 49*T1^11*T2^18 + 54*T1^12*T2^18 - 42*T1^13*T2^18 + 
      46*T1^14*T2^18 - 42*T1^15*T2^18 + 54*T1^16*T2^18 - 49*T1^17*T2^18 + 
      46*T1^18*T2^18 - 24*T1^19*T2^18 + 10*T1^20*T2^18 - 4*T1^9*T2^19 + 
      12*T1^10*T2^19 - 24*T1^11*T2^19 + 28*T1^12*T2^19 - 24*T1^13*T2^19 + 
      8*T1^14*T2^19 + 8*T1^15*T2^19 - 24*T1^16*T2^19 + 28*T1^17*T2^19 - 
      24*T1^18*T2^19 + 12*T1^19*T2^19 - 4*T1^20*T2^19 + T1^10*T2^20 - 
      4*T1^11*T2^20 + 10*T1^12*T2^20 - 17*T1^13*T2^20 + 23*T1^14*T2^20 - 
      25*T1^15*T2^20 + 23*T1^16*T2^20 - 17*T1^17*T2^20 + 10*T1^18*T2^20 - 
      4*T1^19*T2^20 + T1^20*T2^20)/(T1^10*T2^10))}, 
 Knot[12, Alternating, 982] -> {((1 - T + T^2)^3*(2 - 3*T + 2*T^2))/T^4, 
   -((1 - 4*T1 + 10*T1^2 - 16*T1^3 + 19*T1^4 - 16*T1^5 + 10*T1^6 - 4*T1^7 + 
      T1^8 - 4*T2 + 12*T1*T2 - 24*T1^2*T2 + 24*T1^3*T2 - 12*T1^4*T2 - 
      12*T1^5*T2 + 24*T1^6*T2 - 24*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 
      10*T2^2 - 24*T1*T2^2 + 52*T1^2*T2^2 - 62*T1^3*T2^2 + 86*T1^4*T2^2 - 
      86*T1^5*T2^2 + 86*T1^6*T2^2 - 62*T1^7*T2^2 + 52*T1^8*T2^2 - 
      24*T1^9*T2^2 + 10*T1^10*T2^2 - 16*T2^3 + 24*T1*T2^3 - 62*T1^2*T2^3 + 
      58*T1^3*T2^3 - 108*T1^4*T2^3 + 40*T1^5*T2^3 + 40*T1^6*T2^3 - 
      108*T1^7*T2^3 + 58*T1^8*T2^3 - 62*T1^9*T2^3 + 24*T1^10*T2^3 - 
      16*T1^11*T2^3 + 19*T2^4 - 12*T1*T2^4 + 86*T1^2*T2^4 - 108*T1^3*T2^4 + 
      295*T1^4*T2^4 - 208*T1^5*T2^4 + 193*T1^6*T2^4 - 208*T1^7*T2^4 + 
      295*T1^8*T2^4 - 108*T1^9*T2^4 + 86*T1^10*T2^4 - 12*T1^11*T2^4 + 
      19*T1^12*T2^4 - 16*T2^5 - 12*T1*T2^5 - 86*T1^2*T2^5 + 40*T1^3*T2^5 - 
      208*T1^4*T2^5 - 130*T1^5*T2^5 + 56*T1^6*T2^5 + 56*T1^7*T2^5 - 
      130*T1^8*T2^5 - 208*T1^9*T2^5 + 40*T1^10*T2^5 - 86*T1^11*T2^5 - 
      12*T1^12*T2^5 - 16*T1^13*T2^5 + 10*T2^6 + 24*T1*T2^6 + 86*T1^2*T2^6 + 
      40*T1^3*T2^6 + 193*T1^4*T2^6 + 56*T1^5*T2^6 + 632*T1^6*T2^6 - 
      868*T1^7*T2^6 + 632*T1^8*T2^6 + 56*T1^9*T2^6 + 193*T1^10*T2^6 + 
      40*T1^11*T2^6 + 86*T1^12*T2^6 + 24*T1^13*T2^6 + 10*T1^14*T2^6 - 
      4*T2^7 - 24*T1*T2^7 - 62*T1^2*T2^7 - 108*T1^3*T2^7 - 208*T1^4*T2^7 + 
      56*T1^5*T2^7 - 868*T1^6*T2^7 + 382*T1^7*T2^7 + 382*T1^8*T2^7 - 
      868*T1^9*T2^7 + 56*T1^10*T2^7 - 208*T1^11*T2^7 - 108*T1^12*T2^7 - 
      62*T1^13*T2^7 - 24*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 
      52*T1^2*T2^8 + 58*T1^3*T2^8 + 295*T1^4*T2^8 - 130*T1^5*T2^8 + 
      632*T1^6*T2^8 + 382*T1^7*T2^8 - 744*T1^8*T2^8 + 382*T1^9*T2^8 + 
      632*T1^10*T2^8 - 130*T1^11*T2^8 + 295*T1^12*T2^8 + 58*T1^13*T2^8 + 
      52*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 24*T1^2*T2^9 - 
      62*T1^3*T2^9 - 108*T1^4*T2^9 - 208*T1^5*T2^9 + 56*T1^6*T2^9 - 
      868*T1^7*T2^9 + 382*T1^8*T2^9 + 382*T1^9*T2^9 - 868*T1^10*T2^9 + 
      56*T1^11*T2^9 - 208*T1^12*T2^9 - 108*T1^13*T2^9 - 62*T1^14*T2^9 - 
      24*T1^15*T2^9 - 4*T1^16*T2^9 + 10*T1^2*T2^10 + 24*T1^3*T2^10 + 
      86*T1^4*T2^10 + 40*T1^5*T2^10 + 193*T1^6*T2^10 + 56*T1^7*T2^10 + 
      632*T1^8*T2^10 - 868*T1^9*T2^10 + 632*T1^10*T2^10 + 56*T1^11*T2^10 + 
      193*T1^12*T2^10 + 40*T1^13*T2^10 + 86*T1^14*T2^10 + 24*T1^15*T2^10 + 
      10*T1^16*T2^10 - 16*T1^3*T2^11 - 12*T1^4*T2^11 - 86*T1^5*T2^11 + 
      40*T1^6*T2^11 - 208*T1^7*T2^11 - 130*T1^8*T2^11 + 56*T1^9*T2^11 + 
      56*T1^10*T2^11 - 130*T1^11*T2^11 - 208*T1^12*T2^11 + 40*T1^13*T2^11 - 
      86*T1^14*T2^11 - 12*T1^15*T2^11 - 16*T1^16*T2^11 + 19*T1^4*T2^12 - 
      12*T1^5*T2^12 + 86*T1^6*T2^12 - 108*T1^7*T2^12 + 295*T1^8*T2^12 - 
      208*T1^9*T2^12 + 193*T1^10*T2^12 - 208*T1^11*T2^12 + 295*T1^12*T2^12 - 
      108*T1^13*T2^12 + 86*T1^14*T2^12 - 12*T1^15*T2^12 + 19*T1^16*T2^12 - 
      16*T1^5*T2^13 + 24*T1^6*T2^13 - 62*T1^7*T2^13 + 58*T1^8*T2^13 - 
      108*T1^9*T2^13 + 40*T1^10*T2^13 + 40*T1^11*T2^13 - 108*T1^12*T2^13 + 
      58*T1^13*T2^13 - 62*T1^14*T2^13 + 24*T1^15*T2^13 - 16*T1^16*T2^13 + 
      10*T1^6*T2^14 - 24*T1^7*T2^14 + 52*T1^8*T2^14 - 62*T1^9*T2^14 + 
      86*T1^10*T2^14 - 86*T1^11*T2^14 + 86*T1^12*T2^14 - 62*T1^13*T2^14 + 
      52*T1^14*T2^14 - 24*T1^15*T2^14 + 10*T1^16*T2^14 - 4*T1^7*T2^15 + 
      12*T1^8*T2^15 - 24*T1^9*T2^15 + 24*T1^10*T2^15 - 12*T1^11*T2^15 - 
      12*T1^12*T2^15 + 24*T1^13*T2^15 - 24*T1^14*T2^15 + 12*T1^15*T2^15 - 
      4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 10*T1^10*T2^16 - 
      16*T1^11*T2^16 + 19*T1^12*T2^16 - 16*T1^13*T2^16 + 10*T1^14*T2^16 - 
      4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 983] -> 
  {-((5 - 25*T + 52*T^2 - 65*T^3 + 52*T^4 - 25*T^5 + 5*T^6)/T^3), 
   -((270 - 1330*T1 + 2729*T1^2 - 3400*T1^3 + 2729*T1^4 - 1330*T1^5 + 
      270*T1^6 - 1330*T2 + 5232*T1*T2 - 6927*T1^2*T2 + 3325*T1^3*T2 + 
      3325*T1^4*T2 - 6927*T1^5*T2 + 5232*T1^6*T2 - 1330*T1^7*T2 + 2729*T2^2 - 
      6927*T1*T2^2 - 1876*T1^2*T2^2 + 18708*T1^3*T2^2 - 27874*T1^4*T2^2 + 
      18708*T1^5*T2^2 - 1876*T1^6*T2^2 - 6927*T1^7*T2^2 + 2729*T1^8*T2^2 - 
      3400*T2^3 + 3325*T1*T2^3 + 18708*T1^2*T2^3 - 32126*T1^3*T2^3 + 
      16970*T1^4*T2^3 + 16970*T1^5*T2^3 - 32126*T1^6*T2^3 + 18708*T1^7*T2^3 + 
      3325*T1^8*T2^3 - 3400*T1^9*T2^3 + 2729*T2^4 + 3325*T1*T2^4 - 
      27874*T1^2*T2^4 + 16970*T1^3*T2^4 + 21061*T1^4*T2^4 - 45477*T1^5*T2^4 + 
      21061*T1^6*T2^4 + 16970*T1^7*T2^4 - 27874*T1^8*T2^4 + 3325*T1^9*T2^4 + 
      2729*T1^10*T2^4 - 1330*T2^5 - 6927*T1*T2^5 + 18708*T1^2*T2^5 + 
      16970*T1^3*T2^5 - 45477*T1^4*T2^5 + 27332*T1^5*T2^5 + 27332*T1^6*T2^5 - 
      45477*T1^7*T2^5 + 16970*T1^8*T2^5 + 18708*T1^9*T2^5 - 6927*T1^10*T2^5 - 
      1330*T1^11*T2^5 + 270*T2^6 + 5232*T1*T2^6 - 1876*T1^2*T2^6 - 
      32126*T1^3*T2^6 + 21061*T1^4*T2^6 + 27332*T1^5*T2^6 - 60552*T1^6*T2^6 + 
      27332*T1^7*T2^6 + 21061*T1^8*T2^6 - 32126*T1^9*T2^6 - 1876*T1^10*T2^6 + 
      5232*T1^11*T2^6 + 270*T1^12*T2^6 - 1330*T1*T2^7 - 6927*T1^2*T2^7 + 
      18708*T1^3*T2^7 + 16970*T1^4*T2^7 - 45477*T1^5*T2^7 + 27332*T1^6*T2^7 + 
      27332*T1^7*T2^7 - 45477*T1^8*T2^7 + 16970*T1^9*T2^7 + 
      18708*T1^10*T2^7 - 6927*T1^11*T2^7 - 1330*T1^12*T2^7 + 2729*T1^2*T2^8 + 
      3325*T1^3*T2^8 - 27874*T1^4*T2^8 + 16970*T1^5*T2^8 + 21061*T1^6*T2^8 - 
      45477*T1^7*T2^8 + 21061*T1^8*T2^8 + 16970*T1^9*T2^8 - 
      27874*T1^10*T2^8 + 3325*T1^11*T2^8 + 2729*T1^12*T2^8 - 3400*T1^3*T2^9 + 
      3325*T1^4*T2^9 + 18708*T1^5*T2^9 - 32126*T1^6*T2^9 + 16970*T1^7*T2^9 + 
      16970*T1^8*T2^9 - 32126*T1^9*T2^9 + 18708*T1^10*T2^9 + 
      3325*T1^11*T2^9 - 3400*T1^12*T2^9 + 2729*T1^4*T2^10 - 6927*T1^5*T2^10 - 
      1876*T1^6*T2^10 + 18708*T1^7*T2^10 - 27874*T1^8*T2^10 + 
      18708*T1^9*T2^10 - 1876*T1^10*T2^10 - 6927*T1^11*T2^10 + 
      2729*T1^12*T2^10 - 1330*T1^5*T2^11 + 5232*T1^6*T2^11 - 
      6927*T1^7*T2^11 + 3325*T1^8*T2^11 + 3325*T1^9*T2^11 - 
      6927*T1^10*T2^11 + 5232*T1^11*T2^11 - 1330*T1^12*T2^11 + 
      270*T1^6*T2^12 - 1330*T1^7*T2^12 + 2729*T1^8*T2^12 - 3400*T1^9*T2^12 + 
      2729*T1^10*T2^12 - 1330*T1^11*T2^12 + 270*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, -((3 - 12*T1 + 27*T1^2 - 39*T1^3 + 48*T1^4 - 
      51*T1^5 + 48*T1^6 - 39*T1^7 + 27*T1^8 - 12*T1^9 + 3*T1^10 - 12*T2 + 
      36*T1*T2 - 60*T1^2*T2 + 48*T1^3*T2 - 36*T1^4*T2 + 12*T1^5*T2 + 
      12*T1^6*T2 - 36*T1^7*T2 + 48*T1^8*T2 - 60*T1^9*T2 + 36*T1^10*T2 - 
      12*T1^11*T2 + 27*T2^2 - 60*T1*T2^2 + 75*T1^2*T2^2 - 16*T1^3*T2^2 + 
      28*T1^4*T2^2 - 12*T1^5*T2^2 + 15*T1^6*T2^2 - 12*T1^7*T2^2 + 
      28*T1^8*T2^2 - 16*T1^9*T2^2 + 75*T1^10*T2^2 - 60*T1^11*T2^2 + 
      27*T1^12*T2^2 - 39*T2^3 + 48*T1*T2^3 - 16*T1^2*T2^3 - 98*T1^3*T2^3 + 
      3*T1^4*T2^3 - 33*T1^5*T2^3 - 33*T1^8*T2^3 + 3*T1^9*T2^3 - 
      98*T1^10*T2^3 - 16*T1^11*T2^3 + 48*T1^12*T2^3 - 39*T1^13*T2^3 + 
      48*T2^4 - 36*T1*T2^4 + 28*T1^2*T2^4 + 3*T1^3*T2^4 + 297*T1^4*T2^4 - 
      252*T1^5*T2^4 + 365*T1^6*T2^4 - 349*T1^7*T2^4 + 365*T1^8*T2^4 - 
      252*T1^9*T2^4 + 297*T1^10*T2^4 + 3*T1^11*T2^4 + 28*T1^12*T2^4 - 
      36*T1^13*T2^4 + 48*T1^14*T2^4 - 51*T2^5 + 12*T1*T2^5 - 12*T1^2*T2^5 - 
      33*T1^3*T2^5 - 252*T1^4*T2^5 - 22*T1^5*T2^5 - 101*T1^6*T2^5 - 
      11*T1^7*T2^5 - 11*T1^8*T2^5 - 101*T1^9*T2^5 - 22*T1^10*T2^5 - 
      252*T1^11*T2^5 - 33*T1^12*T2^5 - 12*T1^13*T2^5 + 12*T1^14*T2^5 - 
      51*T1^15*T2^5 + 48*T2^6 + 12*T1*T2^6 + 15*T1^2*T2^6 + 365*T1^4*T2^6 - 
      101*T1^5*T2^6 + 475*T1^6*T2^6 - 377*T1^7*T2^6 + 497*T1^8*T2^6 - 
      377*T1^9*T2^6 + 475*T1^10*T2^6 - 101*T1^11*T2^6 + 365*T1^12*T2^6 + 
      15*T1^14*T2^6 + 12*T1^15*T2^6 + 48*T1^16*T2^6 - 39*T2^7 - 36*T1*T2^7 - 
      12*T1^2*T2^7 - 349*T1^4*T2^7 - 11*T1^5*T2^7 - 377*T1^6*T2^7 + 
      44*T1^7*T2^7 - 113*T1^8*T2^7 - 113*T1^9*T2^7 + 44*T1^10*T2^7 - 
      377*T1^11*T2^7 - 11*T1^12*T2^7 - 349*T1^13*T2^7 - 12*T1^15*T2^7 - 
      36*T1^16*T2^7 - 39*T1^17*T2^7 + 27*T2^8 + 48*T1*T2^8 + 28*T1^2*T2^8 - 
      33*T1^3*T2^8 + 365*T1^4*T2^8 - 11*T1^5*T2^8 + 497*T1^6*T2^8 - 
      113*T1^7*T2^8 + 344*T1^8*T2^8 - 182*T1^9*T2^8 + 344*T1^10*T2^8 - 
      113*T1^11*T2^8 + 497*T1^12*T2^8 - 11*T1^13*T2^8 + 365*T1^14*T2^8 - 
      33*T1^15*T2^8 + 28*T1^16*T2^8 + 48*T1^17*T2^8 + 27*T1^18*T2^8 - 
      12*T2^9 - 60*T1*T2^9 - 16*T1^2*T2^9 + 3*T1^3*T2^9 - 252*T1^4*T2^9 - 
      101*T1^5*T2^9 - 377*T1^6*T2^9 - 113*T1^7*T2^9 - 182*T1^8*T2^9 - 
      58*T1^9*T2^9 - 58*T1^10*T2^9 - 182*T1^11*T2^9 - 113*T1^12*T2^9 - 
      377*T1^13*T2^9 - 101*T1^14*T2^9 - 252*T1^15*T2^9 + 3*T1^16*T2^9 - 
      16*T1^17*T2^9 - 60*T1^18*T2^9 - 12*T1^19*T2^9 + 3*T2^10 + 36*T1*T2^10 + 
      75*T1^2*T2^10 - 98*T1^3*T2^10 + 297*T1^4*T2^10 - 22*T1^5*T2^10 + 
      475*T1^6*T2^10 + 44*T1^7*T2^10 + 344*T1^8*T2^10 - 58*T1^9*T2^10 + 
      216*T1^10*T2^10 - 58*T1^11*T2^10 + 344*T1^12*T2^10 + 44*T1^13*T2^10 + 
      475*T1^14*T2^10 - 22*T1^15*T2^10 + 297*T1^16*T2^10 - 98*T1^17*T2^10 + 
      75*T1^18*T2^10 + 36*T1^19*T2^10 + 3*T1^20*T2^10 - 12*T1*T2^11 - 
      60*T1^2*T2^11 - 16*T1^3*T2^11 + 3*T1^4*T2^11 - 252*T1^5*T2^11 - 
      101*T1^6*T2^11 - 377*T1^7*T2^11 - 113*T1^8*T2^11 - 182*T1^9*T2^11 - 
      58*T1^10*T2^11 - 58*T1^11*T2^11 - 182*T1^12*T2^11 - 113*T1^13*T2^11 - 
      377*T1^14*T2^11 - 101*T1^15*T2^11 - 252*T1^16*T2^11 + 3*T1^17*T2^11 - 
      16*T1^18*T2^11 - 60*T1^19*T2^11 - 12*T1^20*T2^11 + 27*T1^2*T2^12 + 
      48*T1^3*T2^12 + 28*T1^4*T2^12 - 33*T1^5*T2^12 + 365*T1^6*T2^12 - 
      11*T1^7*T2^12 + 497*T1^8*T2^12 - 113*T1^9*T2^12 + 344*T1^10*T2^12 - 
      182*T1^11*T2^12 + 344*T1^12*T2^12 - 113*T1^13*T2^12 + 497*T1^14*T2^12 - 
      11*T1^15*T2^12 + 365*T1^16*T2^12 - 33*T1^17*T2^12 + 28*T1^18*T2^12 + 
      48*T1^19*T2^12 + 27*T1^20*T2^12 - 39*T1^3*T2^13 - 36*T1^4*T2^13 - 
      12*T1^5*T2^13 - 349*T1^7*T2^13 - 11*T1^8*T2^13 - 377*T1^9*T2^13 + 
      44*T1^10*T2^13 - 113*T1^11*T2^13 - 113*T1^12*T2^13 + 44*T1^13*T2^13 - 
      377*T1^14*T2^13 - 11*T1^15*T2^13 - 349*T1^16*T2^13 - 12*T1^18*T2^13 - 
      36*T1^19*T2^13 - 39*T1^20*T2^13 + 48*T1^4*T2^14 + 12*T1^5*T2^14 + 
      15*T1^6*T2^14 + 365*T1^8*T2^14 - 101*T1^9*T2^14 + 475*T1^10*T2^14 - 
      377*T1^11*T2^14 + 497*T1^12*T2^14 - 377*T1^13*T2^14 + 475*T1^14*T2^14 - 
      101*T1^15*T2^14 + 365*T1^16*T2^14 + 15*T1^18*T2^14 + 12*T1^19*T2^14 + 
      48*T1^20*T2^14 - 51*T1^5*T2^15 + 12*T1^6*T2^15 - 12*T1^7*T2^15 - 
      33*T1^8*T2^15 - 252*T1^9*T2^15 - 22*T1^10*T2^15 - 101*T1^11*T2^15 - 
      11*T1^12*T2^15 - 11*T1^13*T2^15 - 101*T1^14*T2^15 - 22*T1^15*T2^15 - 
      252*T1^16*T2^15 - 33*T1^17*T2^15 - 12*T1^18*T2^15 + 12*T1^19*T2^15 - 
      51*T1^20*T2^15 + 48*T1^6*T2^16 - 36*T1^7*T2^16 + 28*T1^8*T2^16 + 
      3*T1^9*T2^16 + 297*T1^10*T2^16 - 252*T1^11*T2^16 + 365*T1^12*T2^16 - 
      349*T1^13*T2^16 + 365*T1^14*T2^16 - 252*T1^15*T2^16 + 297*T1^16*T2^16 + 
      3*T1^17*T2^16 + 28*T1^18*T2^16 - 36*T1^19*T2^16 + 48*T1^20*T2^16 - 
      39*T1^7*T2^17 + 48*T1^8*T2^17 - 16*T1^9*T2^17 - 98*T1^10*T2^17 + 
      3*T1^11*T2^17 - 33*T1^12*T2^17 - 33*T1^15*T2^17 + 3*T1^16*T2^17 - 
      98*T1^17*T2^17 - 16*T1^18*T2^17 + 48*T1^19*T2^17 - 39*T1^20*T2^17 + 
      27*T1^8*T2^18 - 60*T1^9*T2^18 + 75*T1^10*T2^18 - 16*T1^11*T2^18 + 
      28*T1^12*T2^18 - 12*T1^13*T2^18 + 15*T1^14*T2^18 - 12*T1^15*T2^18 + 
      28*T1^16*T2^18 - 16*T1^17*T2^18 + 75*T1^18*T2^18 - 60*T1^19*T2^18 + 
      27*T1^20*T2^18 - 12*T1^9*T2^19 + 36*T1^10*T2^19 - 60*T1^11*T2^19 + 
      48*T1^12*T2^19 - 36*T1^13*T2^19 + 12*T1^14*T2^19 + 12*T1^15*T2^19 - 
      36*T1^16*T2^19 + 48*T1^17*T2^19 - 60*T1^18*T2^19 + 36*T1^19*T2^19 - 
      12*T1^20*T2^19 + 3*T1^10*T2^20 - 12*T1^11*T2^20 + 27*T1^12*T2^20 - 
      39*T1^13*T2^20 + 48*T1^14*T2^20 - 51*T1^15*T2^20 + 48*T1^16*T2^20 - 
      39*T1^17*T2^20 + 27*T1^18*T2^20 - 12*T1^19*T2^20 + 3*T1^20*T2^20)/
     (T1^10*T2^10))}, 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, -((17 - 76*T1 + 177*T1^2 - 252*T1^3 + 277*T1^4 - 252*T1^5 + 
      177*T1^6 - 76*T1^7 + 17*T1^8 - 76*T2 + 264*T1*T2 - 452*T1^2*T2 + 
      336*T1^3*T2 - 112*T1^4*T2 - 112*T1^5*T2 + 336*T1^6*T2 - 452*T1^7*T2 + 
      264*T1^8*T2 - 76*T1^9*T2 + 177*T2^2 - 452*T1*T2^2 + 482*T1^2*T2^2 + 
      197*T1^3*T2^2 - 466*T1^4*T2^2 + 478*T1^5*T2^2 - 466*T1^6*T2^2 + 
      197*T1^7*T2^2 + 482*T1^8*T2^2 - 452*T1^9*T2^2 + 177*T1^10*T2^2 - 
      252*T2^3 + 336*T1*T2^3 + 197*T1^2*T2^3 - 1414*T1^3*T2^3 + 
      793*T1^4*T2^3 - 164*T1^5*T2^3 - 164*T1^6*T2^3 + 793*T1^7*T2^3 - 
      1414*T1^8*T2^3 + 197*T1^9*T2^3 + 336*T1^10*T2^3 - 252*T1^11*T2^3 + 
      277*T2^4 - 112*T1*T2^4 - 466*T1^2*T2^4 + 793*T1^3*T2^4 + 
      1984*T1^4*T2^4 - 2782*T1^5*T2^4 + 2704*T1^6*T2^4 - 2782*T1^7*T2^4 + 
      1984*T1^8*T2^4 + 793*T1^9*T2^4 - 466*T1^10*T2^4 - 112*T1^11*T2^4 + 
      277*T1^12*T2^4 - 252*T2^5 - 112*T1*T2^5 + 478*T1^2*T2^5 - 
      164*T1^3*T2^5 - 2782*T1^4*T2^5 + 1264*T1^5*T2^5 - 142*T1^6*T2^5 - 
      142*T1^7*T2^5 + 1264*T1^8*T2^5 - 2782*T1^9*T2^5 - 164*T1^10*T2^5 + 
      478*T1^11*T2^5 - 112*T1^12*T2^5 - 252*T1^13*T2^5 + 177*T2^6 + 
      336*T1*T2^6 - 466*T1^2*T2^6 - 164*T1^3*T2^6 + 2704*T1^4*T2^6 - 
      142*T1^5*T2^6 + 440*T1^6*T2^6 - 1102*T1^7*T2^6 + 440*T1^8*T2^6 - 
      142*T1^9*T2^6 + 2704*T1^10*T2^6 - 164*T1^11*T2^6 - 466*T1^12*T2^6 + 
      336*T1^13*T2^6 + 177*T1^14*T2^6 - 76*T2^7 - 452*T1*T2^7 + 
      197*T1^2*T2^7 + 793*T1^3*T2^7 - 2782*T1^4*T2^7 - 142*T1^5*T2^7 - 
      1102*T1^6*T2^7 + 794*T1^7*T2^7 + 794*T1^8*T2^7 - 1102*T1^9*T2^7 - 
      142*T1^10*T2^7 - 2782*T1^11*T2^7 + 793*T1^12*T2^7 + 197*T1^13*T2^7 - 
      452*T1^14*T2^7 - 76*T1^15*T2^7 + 17*T2^8 + 264*T1*T2^8 + 
      482*T1^2*T2^8 - 1414*T1^3*T2^8 + 1984*T1^4*T2^8 + 1264*T1^5*T2^8 + 
      440*T1^6*T2^8 + 794*T1^7*T2^8 - 1812*T1^8*T2^8 + 794*T1^9*T2^8 + 
      440*T1^10*T2^8 + 1264*T1^11*T2^8 + 1984*T1^12*T2^8 - 1414*T1^13*T2^8 + 
      482*T1^14*T2^8 + 264*T1^15*T2^8 + 17*T1^16*T2^8 - 76*T1*T2^9 - 
      452*T1^2*T2^9 + 197*T1^3*T2^9 + 793*T1^4*T2^9 - 2782*T1^5*T2^9 - 
      142*T1^6*T2^9 - 1102*T1^7*T2^9 + 794*T1^8*T2^9 + 794*T1^9*T2^9 - 
      1102*T1^10*T2^9 - 142*T1^11*T2^9 - 2782*T1^12*T2^9 + 793*T1^13*T2^9 + 
      197*T1^14*T2^9 - 452*T1^15*T2^9 - 76*T1^16*T2^9 + 177*T1^2*T2^10 + 
      336*T1^3*T2^10 - 466*T1^4*T2^10 - 164*T1^5*T2^10 + 2704*T1^6*T2^10 - 
      142*T1^7*T2^10 + 440*T1^8*T2^10 - 1102*T1^9*T2^10 + 440*T1^10*T2^10 - 
      142*T1^11*T2^10 + 2704*T1^12*T2^10 - 164*T1^13*T2^10 - 
      466*T1^14*T2^10 + 336*T1^15*T2^10 + 177*T1^16*T2^10 - 252*T1^3*T2^11 - 
      112*T1^4*T2^11 + 478*T1^5*T2^11 - 164*T1^6*T2^11 - 2782*T1^7*T2^11 + 
      1264*T1^8*T2^11 - 142*T1^9*T2^11 - 142*T1^10*T2^11 + 1264*T1^11*T2^11 - 
      2782*T1^12*T2^11 - 164*T1^13*T2^11 + 478*T1^14*T2^11 - 
      112*T1^15*T2^11 - 252*T1^16*T2^11 + 277*T1^4*T2^12 - 112*T1^5*T2^12 - 
      466*T1^6*T2^12 + 793*T1^7*T2^12 + 1984*T1^8*T2^12 - 2782*T1^9*T2^12 + 
      2704*T1^10*T2^12 - 2782*T1^11*T2^12 + 1984*T1^12*T2^12 + 
      793*T1^13*T2^12 - 466*T1^14*T2^12 - 112*T1^15*T2^12 + 277*T1^16*T2^12 - 
      252*T1^5*T2^13 + 336*T1^6*T2^13 + 197*T1^7*T2^13 - 1414*T1^8*T2^13 + 
      793*T1^9*T2^13 - 164*T1^10*T2^13 - 164*T1^11*T2^13 + 793*T1^12*T2^13 - 
      1414*T1^13*T2^13 + 197*T1^14*T2^13 + 336*T1^15*T2^13 - 
      252*T1^16*T2^13 + 177*T1^6*T2^14 - 452*T1^7*T2^14 + 482*T1^8*T2^14 + 
      197*T1^9*T2^14 - 466*T1^10*T2^14 + 478*T1^11*T2^14 - 466*T1^12*T2^14 + 
      197*T1^13*T2^14 + 482*T1^14*T2^14 - 452*T1^15*T2^14 + 177*T1^16*T2^14 - 
      76*T1^7*T2^15 + 264*T1^8*T2^15 - 452*T1^9*T2^15 + 336*T1^10*T2^15 - 
      112*T1^11*T2^15 - 112*T1^12*T2^15 + 336*T1^13*T2^15 - 452*T1^14*T2^15 + 
      264*T1^15*T2^15 - 76*T1^16*T2^15 + 17*T1^8*T2^16 - 76*T1^9*T2^16 + 
      177*T1^10*T2^16 - 252*T1^11*T2^16 + 277*T1^12*T2^16 - 252*T1^13*T2^16 + 
      177*T1^14*T2^16 - 76*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8))}, 
 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, -((1 - 5*T1 + 12*T1^2 - 19*T1^3 + 23*T1^4 - 19*T1^5 + 12*T1^6 - 
      5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 34*T1^2*T2 + 33*T1^3*T2 - 
      19*T1^4*T2 - 19*T1^5*T2 + 33*T1^6*T2 - 34*T1^7*T2 + 20*T1^8*T2 - 
      5*T1^9*T2 + 12*T2^2 - 34*T1*T2^2 + 30*T1^2*T2^2 - 18*T1^3*T2^2 + 
      48*T1^4*T2^2 - 22*T1^5*T2^2 + 48*T1^6*T2^2 - 18*T1^7*T2^2 + 
      30*T1^8*T2^2 - 34*T1^9*T2^2 + 12*T1^10*T2^2 - 19*T2^3 + 33*T1*T2^3 - 
      18*T1^2*T2^3 + 112*T1^3*T2^3 - 298*T1^4*T2^3 + 83*T1^5*T2^3 + 
      83*T1^6*T2^3 - 298*T1^7*T2^3 + 112*T1^8*T2^3 - 18*T1^9*T2^3 + 
      33*T1^10*T2^3 - 19*T1^11*T2^3 + 23*T2^4 - 19*T1*T2^4 + 48*T1^2*T2^4 - 
      298*T1^3*T2^4 + 345*T1^4*T2^4 + 710*T1^5*T2^4 - 943*T1^6*T2^4 + 
      710*T1^7*T2^4 + 345*T1^8*T2^4 - 298*T1^9*T2^4 + 48*T1^10*T2^4 - 
      19*T1^11*T2^4 + 23*T1^12*T2^4 - 19*T2^5 - 19*T1*T2^5 - 22*T1^2*T2^5 + 
      83*T1^3*T2^5 + 710*T1^4*T2^5 - 2556*T1^5*T2^5 + 985*T1^6*T2^5 + 
      985*T1^7*T2^5 - 2556*T1^8*T2^5 + 710*T1^9*T2^5 + 83*T1^10*T2^5 - 
      22*T1^11*T2^5 - 19*T1^12*T2^5 - 19*T1^13*T2^5 + 12*T2^6 + 33*T1*T2^6 + 
      48*T1^2*T2^6 + 83*T1^3*T2^6 - 943*T1^4*T2^6 + 985*T1^5*T2^6 + 
      4469*T1^6*T2^6 - 6157*T1^7*T2^6 + 4469*T1^8*T2^6 + 985*T1^9*T2^6 - 
      943*T1^10*T2^6 + 83*T1^11*T2^6 + 48*T1^12*T2^6 + 33*T1^13*T2^6 + 
      12*T1^14*T2^6 - 5*T2^7 - 34*T1*T2^7 - 18*T1^2*T2^7 - 298*T1^3*T2^7 + 
      710*T1^4*T2^7 + 985*T1^5*T2^7 - 6157*T1^6*T2^7 + 2442*T1^7*T2^7 + 
      2442*T1^8*T2^7 - 6157*T1^9*T2^7 + 985*T1^10*T2^7 + 710*T1^11*T2^7 - 
      298*T1^12*T2^7 - 18*T1^13*T2^7 - 34*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 
      20*T1*T2^8 + 30*T1^2*T2^8 + 112*T1^3*T2^8 + 345*T1^4*T2^8 - 
      2556*T1^5*T2^8 + 4469*T1^6*T2^8 + 2442*T1^7*T2^8 - 4320*T1^8*T2^8 + 
      2442*T1^9*T2^8 + 4469*T1^10*T2^8 - 2556*T1^11*T2^8 + 345*T1^12*T2^8 + 
      112*T1^13*T2^8 + 30*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 
      5*T1*T2^9 - 34*T1^2*T2^9 - 18*T1^3*T2^9 - 298*T1^4*T2^9 + 
      710*T1^5*T2^9 + 985*T1^6*T2^9 - 6157*T1^7*T2^9 + 2442*T1^8*T2^9 + 
      2442*T1^9*T2^9 - 6157*T1^10*T2^9 + 985*T1^11*T2^9 + 710*T1^12*T2^9 - 
      298*T1^13*T2^9 - 18*T1^14*T2^9 - 34*T1^15*T2^9 - 5*T1^16*T2^9 + 
      12*T1^2*T2^10 + 33*T1^3*T2^10 + 48*T1^4*T2^10 + 83*T1^5*T2^10 - 
      943*T1^6*T2^10 + 985*T1^7*T2^10 + 4469*T1^8*T2^10 - 6157*T1^9*T2^10 + 
      4469*T1^10*T2^10 + 985*T1^11*T2^10 - 943*T1^12*T2^10 + 83*T1^13*T2^10 + 
      48*T1^14*T2^10 + 33*T1^15*T2^10 + 12*T1^16*T2^10 - 19*T1^3*T2^11 - 
      19*T1^4*T2^11 - 22*T1^5*T2^11 + 83*T1^6*T2^11 + 710*T1^7*T2^11 - 
      2556*T1^8*T2^11 + 985*T1^9*T2^11 + 985*T1^10*T2^11 - 2556*T1^11*T2^11 + 
      710*T1^12*T2^11 + 83*T1^13*T2^11 - 22*T1^14*T2^11 - 19*T1^15*T2^11 - 
      19*T1^16*T2^11 + 23*T1^4*T2^12 - 19*T1^5*T2^12 + 48*T1^6*T2^12 - 
      298*T1^7*T2^12 + 345*T1^8*T2^12 + 710*T1^9*T2^12 - 943*T1^10*T2^12 + 
      710*T1^11*T2^12 + 345*T1^12*T2^12 - 298*T1^13*T2^12 + 48*T1^14*T2^12 - 
      19*T1^15*T2^12 + 23*T1^16*T2^12 - 19*T1^5*T2^13 + 33*T1^6*T2^13 - 
      18*T1^7*T2^13 + 112*T1^8*T2^13 - 298*T1^9*T2^13 + 83*T1^10*T2^13 + 
      83*T1^11*T2^13 - 298*T1^12*T2^13 + 112*T1^13*T2^13 - 18*T1^14*T2^13 + 
      33*T1^15*T2^13 - 19*T1^16*T2^13 + 12*T1^6*T2^14 - 34*T1^7*T2^14 + 
      30*T1^8*T2^14 - 18*T1^9*T2^14 + 48*T1^10*T2^14 - 22*T1^11*T2^14 + 
      48*T1^12*T2^14 - 18*T1^13*T2^14 + 30*T1^14*T2^14 - 34*T1^15*T2^14 + 
      12*T1^16*T2^14 - 5*T1^7*T2^15 + 20*T1^8*T2^15 - 34*T1^9*T2^15 + 
      33*T1^10*T2^15 - 19*T1^11*T2^15 - 19*T1^12*T2^15 + 33*T1^13*T2^15 - 
      34*T1^14*T2^15 + 20*T1^15*T2^15 - 5*T1^16*T2^15 + T1^8*T2^16 - 
      5*T1^9*T2^16 + 12*T1^10*T2^16 - 19*T1^11*T2^16 + 23*T1^12*T2^16 - 
      19*T1^13*T2^16 + 12*T1^14*T2^16 - 5*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, 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)*
      (17 - 67*T1 + 140*T1^2 - 171*T1^3 + 140*T1^4 - 67*T1^5 + 17*T1^6 - 
       67*T2 + 198*T1*T2 - 290*T1^2*T2 + 124*T1^3*T2 + 124*T1^4*T2 - 
       290*T1^5*T2 + 198*T1^6*T2 - 67*T1^7*T2 + 140*T2^2 - 290*T1*T2^2 + 
       232*T1^2*T2^2 + 297*T1^3*T2^2 - 486*T1^4*T2^2 + 297*T1^5*T2^2 + 
       232*T1^6*T2^2 - 290*T1^7*T2^2 + 140*T1^8*T2^2 - 171*T2^3 + 
       124*T1*T2^3 + 297*T1^2*T2^3 - 1004*T1^3*T2^3 + 419*T1^4*T2^3 + 
       419*T1^5*T2^3 - 1004*T1^6*T2^3 + 297*T1^7*T2^3 + 124*T1^8*T2^3 - 
       171*T1^9*T2^3 + 140*T2^4 + 124*T1*T2^4 - 486*T1^2*T2^4 + 
       419*T1^3*T2^4 + 1398*T1^4*T2^4 - 2008*T1^5*T2^4 + 1398*T1^6*T2^4 + 
       419*T1^7*T2^4 - 486*T1^8*T2^4 + 124*T1^9*T2^4 + 140*T1^10*T2^4 - 
       67*T2^5 - 290*T1*T2^5 + 297*T1^2*T2^5 + 419*T1^3*T2^5 - 
       2008*T1^4*T2^5 + 844*T1^5*T2^5 + 844*T1^6*T2^5 - 2008*T1^7*T2^5 + 
       419*T1^8*T2^5 + 297*T1^9*T2^5 - 290*T1^10*T2^5 - 67*T1^11*T2^5 + 
       17*T2^6 + 198*T1*T2^6 + 232*T1^2*T2^6 - 1004*T1^3*T2^6 + 
       1398*T1^4*T2^6 + 844*T1^5*T2^6 - 1596*T1^6*T2^6 + 844*T1^7*T2^6 + 
       1398*T1^8*T2^6 - 1004*T1^9*T2^6 + 232*T1^10*T2^6 + 198*T1^11*T2^6 + 
       17*T1^12*T2^6 - 67*T1*T2^7 - 290*T1^2*T2^7 + 297*T1^3*T2^7 + 
       419*T1^4*T2^7 - 2008*T1^5*T2^7 + 844*T1^6*T2^7 + 844*T1^7*T2^7 - 
       2008*T1^8*T2^7 + 419*T1^9*T2^7 + 297*T1^10*T2^7 - 290*T1^11*T2^7 - 
       67*T1^12*T2^7 + 140*T1^2*T2^8 + 124*T1^3*T2^8 - 486*T1^4*T2^8 + 
       419*T1^5*T2^8 + 1398*T1^6*T2^8 - 2008*T1^7*T2^8 + 1398*T1^8*T2^8 + 
       419*T1^9*T2^8 - 486*T1^10*T2^8 + 124*T1^11*T2^8 + 140*T1^12*T2^8 - 
       171*T1^3*T2^9 + 124*T1^4*T2^9 + 297*T1^5*T2^9 - 1004*T1^6*T2^9 + 
       419*T1^7*T2^9 + 419*T1^8*T2^9 - 1004*T1^9*T2^9 + 297*T1^10*T2^9 + 
       124*T1^11*T2^9 - 171*T1^12*T2^9 + 140*T1^4*T2^10 - 290*T1^5*T2^10 + 
       232*T1^6*T2^10 + 297*T1^7*T2^10 - 486*T1^8*T2^10 + 297*T1^9*T2^10 + 
       232*T1^10*T2^10 - 290*T1^11*T2^10 + 140*T1^12*T2^10 - 67*T1^5*T2^11 + 
       198*T1^6*T2^11 - 290*T1^7*T2^11 + 124*T1^8*T2^11 + 124*T1^9*T2^11 - 
       290*T1^10*T2^11 + 198*T1^11*T2^11 - 67*T1^12*T2^11 + 17*T1^6*T2^12 - 
       67*T1^7*T2^12 + 140*T1^8*T2^12 - 171*T1^9*T2^12 + 140*T1^10*T2^12 - 
       67*T1^11*T2^12 + 17*T1^12*T2^12))/(T1^8*T2^8))}, 
 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, 
   -((17 - 68*T1 + 144*T1^2 - 194*T1^3 + 211*T1^4 - 194*T1^5 + 144*T1^6 - 
      68*T1^7 + 17*T1^8 - 68*T2 + 204*T1*T2 - 304*T1^2*T2 + 200*T1^3*T2 - 
      68*T1^4*T2 - 68*T1^5*T2 + 200*T1^6*T2 - 304*T1^7*T2 + 204*T1^8*T2 - 
      68*T1^9*T2 + 144*T2^2 - 304*T1*T2^2 + 262*T1^2*T2^2 + 138*T1^3*T2^2 - 
      203*T1^4*T2^2 + 216*T1^5*T2^2 - 203*T1^6*T2^2 + 138*T1^7*T2^2 + 
      262*T1^8*T2^2 - 304*T1^9*T2^2 + 144*T1^10*T2^2 - 194*T2^3 + 
      200*T1*T2^3 + 138*T1^2*T2^3 - 694*T1^3*T2^3 + 249*T1^4*T2^3 - 
      79*T1^5*T2^3 - 79*T1^6*T2^3 + 249*T1^7*T2^3 - 694*T1^8*T2^3 + 
      138*T1^9*T2^3 + 200*T1^10*T2^3 - 194*T1^11*T2^3 + 211*T2^4 - 
      68*T1*T2^4 - 203*T1^2*T2^4 + 249*T1^3*T2^4 + 1024*T1^4*T2^4 - 
      1033*T1^5*T2^4 + 1110*T1^6*T2^4 - 1033*T1^7*T2^4 + 1024*T1^8*T2^4 + 
      249*T1^9*T2^4 - 203*T1^10*T2^4 - 68*T1^11*T2^4 + 211*T1^12*T2^4 - 
      194*T2^5 - 68*T1*T2^5 + 216*T1^2*T2^5 - 79*T1^3*T2^5 - 1033*T1^4*T2^5 + 
      140*T1^5*T2^5 - 116*T1^6*T2^5 - 116*T1^7*T2^5 + 140*T1^8*T2^5 - 
      1033*T1^9*T2^5 - 79*T1^10*T2^5 + 216*T1^11*T2^5 - 68*T1^12*T2^5 - 
      194*T1^13*T2^5 + 144*T2^6 + 200*T1*T2^6 - 203*T1^2*T2^6 - 
      79*T1^3*T2^6 + 1110*T1^4*T2^6 - 116*T1^5*T2^6 + 680*T1^6*T2^6 - 
      516*T1^7*T2^6 + 680*T1^8*T2^6 - 116*T1^9*T2^6 + 1110*T1^10*T2^6 - 
      79*T1^11*T2^6 - 203*T1^12*T2^6 + 200*T1^13*T2^6 + 144*T1^14*T2^6 - 
      68*T2^7 - 304*T1*T2^7 + 138*T1^2*T2^7 + 249*T1^3*T2^7 - 
      1033*T1^4*T2^7 - 116*T1^5*T2^7 - 516*T1^6*T2^7 - 50*T1^7*T2^7 - 
      50*T1^8*T2^7 - 516*T1^9*T2^7 - 116*T1^10*T2^7 - 1033*T1^11*T2^7 + 
      249*T1^12*T2^7 + 138*T1^13*T2^7 - 304*T1^14*T2^7 - 68*T1^15*T2^7 + 
      17*T2^8 + 204*T1*T2^8 + 262*T1^2*T2^8 - 694*T1^3*T2^8 + 
      1024*T1^4*T2^8 + 140*T1^5*T2^8 + 680*T1^6*T2^8 - 50*T1^7*T2^8 + 
      384*T1^8*T2^8 - 50*T1^9*T2^8 + 680*T1^10*T2^8 + 140*T1^11*T2^8 + 
      1024*T1^12*T2^8 - 694*T1^13*T2^8 + 262*T1^14*T2^8 + 204*T1^15*T2^8 + 
      17*T1^16*T2^8 - 68*T1*T2^9 - 304*T1^2*T2^9 + 138*T1^3*T2^9 + 
      249*T1^4*T2^9 - 1033*T1^5*T2^9 - 116*T1^6*T2^9 - 516*T1^7*T2^9 - 
      50*T1^8*T2^9 - 50*T1^9*T2^9 - 516*T1^10*T2^9 - 116*T1^11*T2^9 - 
      1033*T1^12*T2^9 + 249*T1^13*T2^9 + 138*T1^14*T2^9 - 304*T1^15*T2^9 - 
      68*T1^16*T2^9 + 144*T1^2*T2^10 + 200*T1^3*T2^10 - 203*T1^4*T2^10 - 
      79*T1^5*T2^10 + 1110*T1^6*T2^10 - 116*T1^7*T2^10 + 680*T1^8*T2^10 - 
      516*T1^9*T2^10 + 680*T1^10*T2^10 - 116*T1^11*T2^10 + 1110*T1^12*T2^10 - 
      79*T1^13*T2^10 - 203*T1^14*T2^10 + 200*T1^15*T2^10 + 144*T1^16*T2^10 - 
      194*T1^3*T2^11 - 68*T1^4*T2^11 + 216*T1^5*T2^11 - 79*T1^6*T2^11 - 
      1033*T1^7*T2^11 + 140*T1^8*T2^11 - 116*T1^9*T2^11 - 116*T1^10*T2^11 + 
      140*T1^11*T2^11 - 1033*T1^12*T2^11 - 79*T1^13*T2^11 + 216*T1^14*T2^11 - 
      68*T1^15*T2^11 - 194*T1^16*T2^11 + 211*T1^4*T2^12 - 68*T1^5*T2^12 - 
      203*T1^6*T2^12 + 249*T1^7*T2^12 + 1024*T1^8*T2^12 - 1033*T1^9*T2^12 + 
      1110*T1^10*T2^12 - 1033*T1^11*T2^12 + 1024*T1^12*T2^12 + 
      249*T1^13*T2^12 - 203*T1^14*T2^12 - 68*T1^15*T2^12 + 211*T1^16*T2^12 - 
      194*T1^5*T2^13 + 200*T1^6*T2^13 + 138*T1^7*T2^13 - 694*T1^8*T2^13 + 
      249*T1^9*T2^13 - 79*T1^10*T2^13 - 79*T1^11*T2^13 + 249*T1^12*T2^13 - 
      694*T1^13*T2^13 + 138*T1^14*T2^13 + 200*T1^15*T2^13 - 194*T1^16*T2^13 + 
      144*T1^6*T2^14 - 304*T1^7*T2^14 + 262*T1^8*T2^14 + 138*T1^9*T2^14 - 
      203*T1^10*T2^14 + 216*T1^11*T2^14 - 203*T1^12*T2^14 + 138*T1^13*T2^14 + 
      262*T1^14*T2^14 - 304*T1^15*T2^14 + 144*T1^16*T2^14 - 68*T1^7*T2^15 + 
      204*T1^8*T2^15 - 304*T1^9*T2^15 + 200*T1^10*T2^15 - 68*T1^11*T2^15 - 
      68*T1^12*T2^15 + 200*T1^13*T2^15 - 304*T1^14*T2^15 + 204*T1^15*T2^15 - 
      68*T1^16*T2^15 + 17*T1^8*T2^16 - 68*T1^9*T2^16 + 144*T1^10*T2^16 - 
      194*T1^11*T2^16 + 211*T1^12*T2^16 - 194*T1^13*T2^16 + 144*T1^14*T2^16 - 
      68*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 989] -> 
  {((2 - 2*T + T^2)*(2 - 3*T + 2*T^2)*(1 - 2*T + 2*T^2))/T^3, 
   -((80 - 356*T1 + 784*T1^2 - 992*T1^3 + 784*T1^4 - 356*T1^5 + 80*T1^6 - 
      356*T2 + 1230*T1*T2 - 1908*T1^2*T2 + 928*T1^3*T2 + 928*T1^4*T2 - 
      1908*T1^5*T2 + 1230*T1^6*T2 - 356*T1^7*T2 + 784*T2^2 - 1908*T1*T2^2 + 
      1347*T1^2*T2^2 + 2573*T1^3*T2^2 - 4675*T1^4*T2^2 + 2573*T1^5*T2^2 + 
      1347*T1^6*T2^2 - 1908*T1^7*T2^2 + 784*T1^8*T2^2 - 992*T2^3 + 
      928*T1*T2^3 + 2573*T1^2*T2^3 - 7940*T1^3*T2^3 + 4176*T1^4*T2^3 + 
      4176*T1^5*T2^3 - 7940*T1^6*T2^3 + 2573*T1^7*T2^3 + 928*T1^8*T2^3 - 
      992*T1^9*T2^3 + 784*T2^4 + 928*T1*T2^4 - 4675*T1^2*T2^4 + 
      4176*T1^3*T2^4 + 9726*T1^4*T2^4 - 17016*T1^5*T2^4 + 9726*T1^6*T2^4 + 
      4176*T1^7*T2^4 - 4675*T1^8*T2^4 + 928*T1^9*T2^4 + 784*T1^10*T2^4 - 
      356*T2^5 - 1908*T1*T2^5 + 2573*T1^2*T2^5 + 4176*T1^3*T2^5 - 
      17016*T1^4*T2^5 + 8992*T1^5*T2^5 + 8992*T1^6*T2^5 - 17016*T1^7*T2^5 + 
      4176*T1^8*T2^5 + 2573*T1^9*T2^5 - 1908*T1^10*T2^5 - 356*T1^11*T2^5 + 
      80*T2^6 + 1230*T1*T2^6 + 1347*T1^2*T2^6 - 7940*T1^3*T2^6 + 
      9726*T1^4*T2^6 + 8992*T1^5*T2^6 - 18876*T1^6*T2^6 + 8992*T1^7*T2^6 + 
      9726*T1^8*T2^6 - 7940*T1^9*T2^6 + 1347*T1^10*T2^6 + 1230*T1^11*T2^6 + 
      80*T1^12*T2^6 - 356*T1*T2^7 - 1908*T1^2*T2^7 + 2573*T1^3*T2^7 + 
      4176*T1^4*T2^7 - 17016*T1^5*T2^7 + 8992*T1^6*T2^7 + 8992*T1^7*T2^7 - 
      17016*T1^8*T2^7 + 4176*T1^9*T2^7 + 2573*T1^10*T2^7 - 1908*T1^11*T2^7 - 
      356*T1^12*T2^7 + 784*T1^2*T2^8 + 928*T1^3*T2^8 - 4675*T1^4*T2^8 + 
      4176*T1^5*T2^8 + 9726*T1^6*T2^8 - 17016*T1^7*T2^8 + 9726*T1^8*T2^8 + 
      4176*T1^9*T2^8 - 4675*T1^10*T2^8 + 928*T1^11*T2^8 + 784*T1^12*T2^8 - 
      992*T1^3*T2^9 + 928*T1^4*T2^9 + 2573*T1^5*T2^9 - 7940*T1^6*T2^9 + 
      4176*T1^7*T2^9 + 4176*T1^8*T2^9 - 7940*T1^9*T2^9 + 2573*T1^10*T2^9 + 
      928*T1^11*T2^9 - 992*T1^12*T2^9 + 784*T1^4*T2^10 - 1908*T1^5*T2^10 + 
      1347*T1^6*T2^10 + 2573*T1^7*T2^10 - 4675*T1^8*T2^10 + 2573*T1^9*T2^10 + 
      1347*T1^10*T2^10 - 1908*T1^11*T2^10 + 784*T1^12*T2^10 - 
      356*T1^5*T2^11 + 1230*T1^6*T2^11 - 1908*T1^7*T2^11 + 928*T1^8*T2^11 + 
      928*T1^9*T2^11 - 1908*T1^10*T2^11 + 1230*T1^11*T2^11 - 
      356*T1^12*T2^11 + 80*T1^6*T2^12 - 356*T1^7*T2^12 + 784*T1^8*T2^12 - 
      992*T1^9*T2^12 + 784*T1^10*T2^12 - 356*T1^11*T2^12 + 80*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, Alternating, 990] -> 
  {((1 - 3*T + T^2)^2*(1 - T + T^2)^2)/T^4, 0}, 
 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 + 112*T1*T2 - 271*T1^2*T2 + 301*T1^3*T2 - 
      142*T1^4*T2 - 142*T1^5*T2 + 301*T1^6*T2 - 271*T1^7*T2 + 112*T1^8*T2 - 
      16*T1^9*T2 + 50*T2^2 - 271*T1*T2^2 + 281*T1^2*T2^2 + 553*T1^3*T2^2 - 
      1619*T1^4*T2^2 + 2229*T1^5*T2^2 - 1619*T1^6*T2^2 + 553*T1^7*T2^2 + 
      281*T1^8*T2^2 - 271*T1^9*T2^2 + 50*T1^10*T2^2 - 88*T2^3 + 301*T1*T2^3 + 
      553*T1^2*T2^3 - 2808*T1^3*T2^3 + 3390*T1^4*T2^3 - 1777*T1^5*T2^3 - 
      1777*T1^6*T2^3 + 3390*T1^7*T2^3 - 2808*T1^8*T2^3 + 553*T1^9*T2^3 + 
      301*T1^10*T2^3 - 88*T1^11*T2^3 + 106*T2^4 - 142*T1*T2^4 - 
      1619*T1^2*T2^4 + 3390*T1^3*T2^4 + 225*T1^4*T2^4 - 5254*T1^5*T2^4 + 
      8883*T1^6*T2^4 - 5254*T1^7*T2^4 + 225*T1^8*T2^4 + 3390*T1^9*T2^4 - 
      1619*T1^10*T2^4 - 142*T1^11*T2^4 + 106*T1^12*T2^4 - 88*T2^5 - 
      142*T1*T2^5 + 2229*T1^2*T2^5 - 1777*T1^3*T2^5 - 5254*T1^4*T2^5 + 
      7728*T1^5*T2^5 - 4974*T1^6*T2^5 - 4974*T1^7*T2^5 + 7728*T1^8*T2^5 - 
      5254*T1^9*T2^5 - 1777*T1^10*T2^5 + 2229*T1^11*T2^5 - 142*T1^12*T2^5 - 
      88*T1^13*T2^5 + 50*T2^6 + 301*T1*T2^6 - 1619*T1^2*T2^6 - 
      1777*T1^3*T2^6 + 8883*T1^4*T2^6 - 4974*T1^5*T2^6 - 1798*T1^6*T2^6 + 
      9004*T1^7*T2^6 - 1798*T1^8*T2^6 - 4974*T1^9*T2^6 + 8883*T1^10*T2^6 - 
      1777*T1^11*T2^6 - 1619*T1^12*T2^6 + 301*T1^13*T2^6 + 50*T1^14*T2^6 - 
      16*T2^7 - 271*T1*T2^7 + 553*T1^2*T2^7 + 3390*T1^3*T2^7 - 
      5254*T1^4*T2^7 - 4974*T1^5*T2^7 + 9004*T1^6*T2^7 - 7024*T1^7*T2^7 - 
      7024*T1^8*T2^7 + 9004*T1^9*T2^7 - 4974*T1^10*T2^7 - 5254*T1^11*T2^7 + 
      3390*T1^12*T2^7 + 553*T1^13*T2^7 - 271*T1^14*T2^7 - 16*T1^15*T2^7 + 
      2*T2^8 + 112*T1*T2^8 + 281*T1^2*T2^8 - 2808*T1^3*T2^8 + 225*T1^4*T2^8 + 
      7728*T1^5*T2^8 - 1798*T1^6*T2^8 - 7024*T1^7*T2^8 + 16524*T1^8*T2^8 - 
      7024*T1^9*T2^8 - 1798*T1^10*T2^8 + 7728*T1^11*T2^8 + 225*T1^12*T2^8 - 
      2808*T1^13*T2^8 + 281*T1^14*T2^8 + 112*T1^15*T2^8 + 2*T1^16*T2^8 - 
      16*T1*T2^9 - 271*T1^2*T2^9 + 553*T1^3*T2^9 + 3390*T1^4*T2^9 - 
      5254*T1^5*T2^9 - 4974*T1^6*T2^9 + 9004*T1^7*T2^9 - 7024*T1^8*T2^9 - 
      7024*T1^9*T2^9 + 9004*T1^10*T2^9 - 4974*T1^11*T2^9 - 5254*T1^12*T2^9 + 
      3390*T1^13*T2^9 + 553*T1^14*T2^9 - 271*T1^15*T2^9 - 16*T1^16*T2^9 + 
      50*T1^2*T2^10 + 301*T1^3*T2^10 - 1619*T1^4*T2^10 - 1777*T1^5*T2^10 + 
      8883*T1^6*T2^10 - 4974*T1^7*T2^10 - 1798*T1^8*T2^10 + 9004*T1^9*T2^10 - 
      1798*T1^10*T2^10 - 4974*T1^11*T2^10 + 8883*T1^12*T2^10 - 
      1777*T1^13*T2^10 - 1619*T1^14*T2^10 + 301*T1^15*T2^10 + 
      50*T1^16*T2^10 - 88*T1^3*T2^11 - 142*T1^4*T2^11 + 2229*T1^5*T2^11 - 
      1777*T1^6*T2^11 - 5254*T1^7*T2^11 + 7728*T1^8*T2^11 - 4974*T1^9*T2^11 - 
      4974*T1^10*T2^11 + 7728*T1^11*T2^11 - 5254*T1^12*T2^11 - 
      1777*T1^13*T2^11 + 2229*T1^14*T2^11 - 142*T1^15*T2^11 - 
      88*T1^16*T2^11 + 106*T1^4*T2^12 - 142*T1^5*T2^12 - 1619*T1^6*T2^12 + 
      3390*T1^7*T2^12 + 225*T1^8*T2^12 - 5254*T1^9*T2^12 + 8883*T1^10*T2^12 - 
      5254*T1^11*T2^12 + 225*T1^12*T2^12 + 3390*T1^13*T2^12 - 
      1619*T1^14*T2^12 - 142*T1^15*T2^12 + 106*T1^16*T2^12 - 88*T1^5*T2^13 + 
      301*T1^6*T2^13 + 553*T1^7*T2^13 - 2808*T1^8*T2^13 + 3390*T1^9*T2^13 - 
      1777*T1^10*T2^13 - 1777*T1^11*T2^13 + 3390*T1^12*T2^13 - 
      2808*T1^13*T2^13 + 553*T1^14*T2^13 + 301*T1^15*T2^13 - 88*T1^16*T2^13 + 
      50*T1^6*T2^14 - 271*T1^7*T2^14 + 281*T1^8*T2^14 + 553*T1^9*T2^14 - 
      1619*T1^10*T2^14 + 2229*T1^11*T2^14 - 1619*T1^12*T2^14 + 
      553*T1^13*T2^14 + 281*T1^14*T2^14 - 271*T1^15*T2^14 + 50*T1^16*T2^14 - 
      16*T1^7*T2^15 + 112*T1^8*T2^15 - 271*T1^9*T2^15 + 301*T1^10*T2^15 - 
      142*T1^11*T2^15 - 142*T1^12*T2^15 + 301*T1^13*T2^15 - 271*T1^14*T2^15 + 
      112*T1^15*T2^15 - 16*T1^16*T2^15 + 2*T1^8*T2^16 - 16*T1^9*T2^16 + 
      50*T1^10*T2^16 - 88*T1^11*T2^16 + 106*T1^12*T2^16 - 88*T1^13*T2^16 + 
      50*T1^14*T2^16 - 16*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   (T1 - 2*T1^2 + T1^3 + T1^4 - 2*T1^5 + T1^6 + T2 - 6*T1*T2 - 2*T1^2*T2 + 
     23*T1^3*T2 - 34*T1^4*T2 + 23*T1^5*T2 - 2*T1^6*T2 - 6*T1^7*T2 + T1^8*T2 - 
     2*T2^2 - 2*T1*T2^2 + 76*T1^2*T2^2 - 126*T1^3*T2^2 + 62*T1^4*T2^2 + 
     62*T1^5*T2^2 - 126*T1^6*T2^2 + 76*T1^7*T2^2 - 2*T1^8*T2^2 - 
     2*T1^9*T2^2 + T2^3 + 23*T1*T2^3 - 126*T1^2*T2^3 - 115*T1^3*T2^3 + 
     613*T1^4*T2^3 - 851*T1^5*T2^3 + 613*T1^6*T2^3 - 115*T1^7*T2^3 - 
     126*T1^8*T2^3 + 23*T1^9*T2^3 + T1^10*T2^3 + T2^4 - 34*T1*T2^4 + 
     62*T1^2*T2^4 + 613*T1^3*T2^4 - 1046*T1^4*T2^4 + 475*T1^5*T2^4 + 
     475*T1^6*T2^4 - 1046*T1^7*T2^4 + 613*T1^8*T2^4 + 62*T1^9*T2^4 - 
     34*T1^10*T2^4 + T1^11*T2^4 - 2*T2^5 + 23*T1*T2^5 + 62*T1^2*T2^5 - 
     851*T1^3*T2^5 + 475*T1^4*T2^5 + 757*T1^5*T2^5 - 1187*T1^6*T2^5 + 
     757*T1^7*T2^5 + 475*T1^8*T2^5 - 851*T1^9*T2^5 + 62*T1^10*T2^5 + 
     23*T1^11*T2^5 - 2*T1^12*T2^5 + T2^6 - 2*T1*T2^6 - 126*T1^2*T2^6 + 
     613*T1^3*T2^6 + 475*T1^4*T2^6 - 1187*T1^5*T2^6 + 412*T1^6*T2^6 + 
     412*T1^7*T2^6 - 1187*T1^8*T2^6 + 475*T1^9*T2^6 + 613*T1^10*T2^6 - 
     126*T1^11*T2^6 - 2*T1^12*T2^6 + T1^13*T2^6 - 6*T1*T2^7 + 76*T1^2*T2^7 - 
     115*T1^3*T2^7 - 1046*T1^4*T2^7 + 757*T1^5*T2^7 + 412*T1^6*T2^7 - 
     576*T1^7*T2^7 + 412*T1^8*T2^7 + 757*T1^9*T2^7 - 1046*T1^10*T2^7 - 
     115*T1^11*T2^7 + 76*T1^12*T2^7 - 6*T1^13*T2^7 + T1*T2^8 - 2*T1^2*T2^8 - 
     126*T1^3*T2^8 + 613*T1^4*T2^8 + 475*T1^5*T2^8 - 1187*T1^6*T2^8 + 
     412*T1^7*T2^8 + 412*T1^8*T2^8 - 1187*T1^9*T2^8 + 475*T1^10*T2^8 + 
     613*T1^11*T2^8 - 126*T1^12*T2^8 - 2*T1^13*T2^8 + T1^14*T2^8 - 
     2*T1^2*T2^9 + 23*T1^3*T2^9 + 62*T1^4*T2^9 - 851*T1^5*T2^9 + 
     475*T1^6*T2^9 + 757*T1^7*T2^9 - 1187*T1^8*T2^9 + 757*T1^9*T2^9 + 
     475*T1^10*T2^9 - 851*T1^11*T2^9 + 62*T1^12*T2^9 + 23*T1^13*T2^9 - 
     2*T1^14*T2^9 + T1^3*T2^10 - 34*T1^4*T2^10 + 62*T1^5*T2^10 + 
     613*T1^6*T2^10 - 1046*T1^7*T2^10 + 475*T1^8*T2^10 + 475*T1^9*T2^10 - 
     1046*T1^10*T2^10 + 613*T1^11*T2^10 + 62*T1^12*T2^10 - 34*T1^13*T2^10 + 
     T1^14*T2^10 + T1^4*T2^11 + 23*T1^5*T2^11 - 126*T1^6*T2^11 - 
     115*T1^7*T2^11 + 613*T1^8*T2^11 - 851*T1^9*T2^11 + 613*T1^10*T2^11 - 
     115*T1^11*T2^11 - 126*T1^12*T2^11 + 23*T1^13*T2^11 + T1^14*T2^11 - 
     2*T1^5*T2^12 - 2*T1^6*T2^12 + 76*T1^7*T2^12 - 126*T1^8*T2^12 + 
     62*T1^9*T2^12 + 62*T1^10*T2^12 - 126*T1^11*T2^12 + 76*T1^12*T2^12 - 
     2*T1^13*T2^12 - 2*T1^14*T2^12 + T1^6*T2^13 - 6*T1^7*T2^13 - 
     2*T1^8*T2^13 + 23*T1^9*T2^13 - 34*T1^10*T2^13 + 23*T1^11*T2^13 - 
     2*T1^12*T2^13 - 6*T1^13*T2^13 + T1^14*T2^13 + T1^8*T2^14 - 
     2*T1^9*T2^14 + T1^10*T2^14 + T1^11*T2^14 - 2*T1^12*T2^14 + T1^13*T2^14)/
    (T1^7*T2^7)}, 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, (1 - 5*T1 + 12*T1^2 - 19*T1^3 + 23*T1^4 - 19*T1^5 + 12*T1^6 - 
     5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 35*T1^2*T2 + 35*T1^3*T2 - 20*T1^4*T2 - 
     20*T1^5*T2 + 35*T1^6*T2 - 35*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
     12*T2^2 - 35*T1*T2^2 + 31*T1^2*T2^2 + 8*T1^3*T2^2 - 39*T1^4*T2^2 + 
     95*T1^5*T2^2 - 39*T1^6*T2^2 + 8*T1^7*T2^2 + 31*T1^8*T2^2 - 
     35*T1^9*T2^2 + 12*T1^10*T2^2 - 19*T2^3 + 35*T1*T2^3 + 8*T1^2*T2^3 - 
     46*T1^3*T2^3 + 5*T1^4*T2^3 - 64*T1^5*T2^3 - 64*T1^6*T2^3 + 5*T1^7*T2^3 - 
     46*T1^8*T2^3 + 8*T1^9*T2^3 + 35*T1^10*T2^3 - 19*T1^11*T2^3 + 23*T2^4 - 
     20*T1*T2^4 - 39*T1^2*T2^4 + 5*T1^3*T2^4 + 72*T1^4*T2^4 + 187*T1^5*T2^4 - 
     38*T1^6*T2^4 + 187*T1^7*T2^4 + 72*T1^8*T2^4 + 5*T1^9*T2^4 - 
     39*T1^10*T2^4 - 20*T1^11*T2^4 + 23*T1^12*T2^4 - 19*T2^5 - 20*T1*T2^5 + 
     95*T1^2*T2^5 - 64*T1^3*T2^5 + 187*T1^4*T2^5 - 662*T1^5*T2^5 + 
     45*T1^6*T2^5 + 45*T1^7*T2^5 - 662*T1^8*T2^5 + 187*T1^9*T2^5 - 
     64*T1^10*T2^5 + 95*T1^11*T2^5 - 20*T1^12*T2^5 - 19*T1^13*T2^5 + 
     12*T2^6 + 35*T1*T2^6 - 39*T1^2*T2^6 - 64*T1^3*T2^6 - 38*T1^4*T2^6 + 
     45*T1^5*T2^6 + 1389*T1^6*T2^6 - 1193*T1^7*T2^6 + 1389*T1^8*T2^6 + 
     45*T1^9*T2^6 - 38*T1^10*T2^6 - 64*T1^11*T2^6 - 39*T1^12*T2^6 + 
     35*T1^13*T2^6 + 12*T1^14*T2^6 - 5*T2^7 - 35*T1*T2^7 + 8*T1^2*T2^7 + 
     5*T1^3*T2^7 + 187*T1^4*T2^7 + 45*T1^5*T2^7 - 1193*T1^6*T2^7 - 
     32*T1^7*T2^7 - 32*T1^8*T2^7 - 1193*T1^9*T2^7 + 45*T1^10*T2^7 + 
     187*T1^11*T2^7 + 5*T1^12*T2^7 + 8*T1^13*T2^7 - 35*T1^14*T2^7 - 
     5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 31*T1^2*T2^8 - 46*T1^3*T2^8 + 
     72*T1^4*T2^8 - 662*T1^5*T2^8 + 1389*T1^6*T2^8 - 32*T1^7*T2^8 + 
     720*T1^8*T2^8 - 32*T1^9*T2^8 + 1389*T1^10*T2^8 - 662*T1^11*T2^8 + 
     72*T1^12*T2^8 - 46*T1^13*T2^8 + 31*T1^14*T2^8 + 20*T1^15*T2^8 + 
     T1^16*T2^8 - 5*T1*T2^9 - 35*T1^2*T2^9 + 8*T1^3*T2^9 + 5*T1^4*T2^9 + 
     187*T1^5*T2^9 + 45*T1^6*T2^9 - 1193*T1^7*T2^9 - 32*T1^8*T2^9 - 
     32*T1^9*T2^9 - 1193*T1^10*T2^9 + 45*T1^11*T2^9 + 187*T1^12*T2^9 + 
     5*T1^13*T2^9 + 8*T1^14*T2^9 - 35*T1^15*T2^9 - 5*T1^16*T2^9 + 
     12*T1^2*T2^10 + 35*T1^3*T2^10 - 39*T1^4*T2^10 - 64*T1^5*T2^10 - 
     38*T1^6*T2^10 + 45*T1^7*T2^10 + 1389*T1^8*T2^10 - 1193*T1^9*T2^10 + 
     1389*T1^10*T2^10 + 45*T1^11*T2^10 - 38*T1^12*T2^10 - 64*T1^13*T2^10 - 
     39*T1^14*T2^10 + 35*T1^15*T2^10 + 12*T1^16*T2^10 - 19*T1^3*T2^11 - 
     20*T1^4*T2^11 + 95*T1^5*T2^11 - 64*T1^6*T2^11 + 187*T1^7*T2^11 - 
     662*T1^8*T2^11 + 45*T1^9*T2^11 + 45*T1^10*T2^11 - 662*T1^11*T2^11 + 
     187*T1^12*T2^11 - 64*T1^13*T2^11 + 95*T1^14*T2^11 - 20*T1^15*T2^11 - 
     19*T1^16*T2^11 + 23*T1^4*T2^12 - 20*T1^5*T2^12 - 39*T1^6*T2^12 + 
     5*T1^7*T2^12 + 72*T1^8*T2^12 + 187*T1^9*T2^12 - 38*T1^10*T2^12 + 
     187*T1^11*T2^12 + 72*T1^12*T2^12 + 5*T1^13*T2^12 - 39*T1^14*T2^12 - 
     20*T1^15*T2^12 + 23*T1^16*T2^12 - 19*T1^5*T2^13 + 35*T1^6*T2^13 + 
     8*T1^7*T2^13 - 46*T1^8*T2^13 + 5*T1^9*T2^13 - 64*T1^10*T2^13 - 
     64*T1^11*T2^13 + 5*T1^12*T2^13 - 46*T1^13*T2^13 + 8*T1^14*T2^13 + 
     35*T1^15*T2^13 - 19*T1^16*T2^13 + 12*T1^6*T2^14 - 35*T1^7*T2^14 + 
     31*T1^8*T2^14 + 8*T1^9*T2^14 - 39*T1^10*T2^14 + 95*T1^11*T2^14 - 
     39*T1^12*T2^14 + 8*T1^13*T2^14 + 31*T1^14*T2^14 - 35*T1^15*T2^14 + 
     12*T1^16*T2^14 - 5*T1^7*T2^15 + 20*T1^8*T2^15 - 35*T1^9*T2^15 + 
     35*T1^10*T2^15 - 20*T1^11*T2^15 - 20*T1^12*T2^15 + 35*T1^13*T2^15 - 
     35*T1^14*T2^15 + 20*T1^15*T2^15 - 5*T1^16*T2^15 + T1^8*T2^16 - 
     5*T1^9*T2^16 + 12*T1^10*T2^16 - 19*T1^11*T2^16 + 23*T1^12*T2^16 - 
     19*T1^13*T2^16 + 12*T1^14*T2^16 - 5*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, 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), -((9 - 53*T1 + 148*T1^2 - 259*T1^3 + 305*T1^4 - 259*T1^5 + 
      148*T1^6 - 53*T1^7 + 9*T1^8 - 53*T2 + 260*T1*T2 - 562*T1^2*T2 + 
      657*T1^3*T2 - 273*T1^4*T2 - 273*T1^5*T2 + 657*T1^6*T2 - 562*T1^7*T2 + 
      260*T1^8*T2 - 53*T1^9*T2 + 148*T2^2 - 562*T1*T2^2 + 734*T1^2*T2^2 + 
      63*T1^3*T2^2 - 1676*T1^4*T2^2 + 2260*T1^5*T2^2 - 1676*T1^6*T2^2 + 
      63*T1^7*T2^2 + 734*T1^8*T2^2 - 562*T1^9*T2^2 + 148*T1^10*T2^2 - 
      259*T2^3 + 657*T1*T2^3 + 63*T1^2*T2^3 - 2228*T1^3*T2^3 + 
      3858*T1^4*T2^3 - 1498*T1^5*T2^3 - 1498*T1^6*T2^3 + 3858*T1^7*T2^3 - 
      2228*T1^8*T2^3 + 63*T1^9*T2^3 + 657*T1^10*T2^3 - 259*T1^11*T2^3 + 
      305*T2^4 - 273*T1*T2^4 - 1676*T1^2*T2^4 + 3858*T1^3*T2^4 - 
      2515*T1^4*T2^4 - 4175*T1^5*T2^4 + 5837*T1^6*T2^4 - 4175*T1^7*T2^4 - 
      2515*T1^8*T2^4 + 3858*T1^9*T2^4 - 1676*T1^10*T2^4 - 273*T1^11*T2^4 + 
      305*T1^12*T2^4 - 259*T2^5 - 273*T1*T2^5 + 2260*T1^2*T2^5 - 
      1498*T1^3*T2^5 - 4175*T1^4*T2^5 + 10746*T1^5*T2^5 - 3669*T1^6*T2^5 - 
      3669*T1^7*T2^5 + 10746*T1^8*T2^5 - 4175*T1^9*T2^5 - 1498*T1^10*T2^5 + 
      2260*T1^11*T2^5 - 273*T1^12*T2^5 - 259*T1^13*T2^5 + 148*T2^6 + 
      657*T1*T2^6 - 1676*T1^2*T2^6 - 1498*T1^3*T2^6 + 5837*T1^4*T2^6 - 
      3669*T1^5*T2^6 - 12968*T1^6*T2^6 + 16306*T1^7*T2^6 - 12968*T1^8*T2^6 - 
      3669*T1^9*T2^6 + 5837*T1^10*T2^6 - 1498*T1^11*T2^6 - 1676*T1^12*T2^6 + 
      657*T1^13*T2^6 + 148*T1^14*T2^6 - 53*T2^7 - 562*T1*T2^7 + 
      63*T1^2*T2^7 + 3858*T1^3*T2^7 - 4175*T1^4*T2^7 - 3669*T1^5*T2^7 + 
      16306*T1^6*T2^7 - 5190*T1^7*T2^7 - 5190*T1^8*T2^7 + 16306*T1^9*T2^7 - 
      3669*T1^10*T2^7 - 4175*T1^11*T2^7 + 3858*T1^12*T2^7 + 63*T1^13*T2^7 - 
      562*T1^14*T2^7 - 53*T1^15*T2^7 + 9*T2^8 + 260*T1*T2^8 + 734*T1^2*T2^8 - 
      2228*T1^3*T2^8 - 2515*T1^4*T2^8 + 10746*T1^5*T2^8 - 12968*T1^6*T2^8 - 
      5190*T1^7*T2^8 + 7932*T1^8*T2^8 - 5190*T1^9*T2^8 - 12968*T1^10*T2^8 + 
      10746*T1^11*T2^8 - 2515*T1^12*T2^8 - 2228*T1^13*T2^8 + 734*T1^14*T2^8 + 
      260*T1^15*T2^8 + 9*T1^16*T2^8 - 53*T1*T2^9 - 562*T1^2*T2^9 + 
      63*T1^3*T2^9 + 3858*T1^4*T2^9 - 4175*T1^5*T2^9 - 3669*T1^6*T2^9 + 
      16306*T1^7*T2^9 - 5190*T1^8*T2^9 - 5190*T1^9*T2^9 + 16306*T1^10*T2^9 - 
      3669*T1^11*T2^9 - 4175*T1^12*T2^9 + 3858*T1^13*T2^9 + 63*T1^14*T2^9 - 
      562*T1^15*T2^9 - 53*T1^16*T2^9 + 148*T1^2*T2^10 + 657*T1^3*T2^10 - 
      1676*T1^4*T2^10 - 1498*T1^5*T2^10 + 5837*T1^6*T2^10 - 3669*T1^7*T2^10 - 
      12968*T1^8*T2^10 + 16306*T1^9*T2^10 - 12968*T1^10*T2^10 - 
      3669*T1^11*T2^10 + 5837*T1^12*T2^10 - 1498*T1^13*T2^10 - 
      1676*T1^14*T2^10 + 657*T1^15*T2^10 + 148*T1^16*T2^10 - 259*T1^3*T2^11 - 
      273*T1^4*T2^11 + 2260*T1^5*T2^11 - 1498*T1^6*T2^11 - 4175*T1^7*T2^11 + 
      10746*T1^8*T2^11 - 3669*T1^9*T2^11 - 3669*T1^10*T2^11 + 
      10746*T1^11*T2^11 - 4175*T1^12*T2^11 - 1498*T1^13*T2^11 + 
      2260*T1^14*T2^11 - 273*T1^15*T2^11 - 259*T1^16*T2^11 + 305*T1^4*T2^12 - 
      273*T1^5*T2^12 - 1676*T1^6*T2^12 + 3858*T1^7*T2^12 - 2515*T1^8*T2^12 - 
      4175*T1^9*T2^12 + 5837*T1^10*T2^12 - 4175*T1^11*T2^12 - 
      2515*T1^12*T2^12 + 3858*T1^13*T2^12 - 1676*T1^14*T2^12 - 
      273*T1^15*T2^12 + 305*T1^16*T2^12 - 259*T1^5*T2^13 + 657*T1^6*T2^13 + 
      63*T1^7*T2^13 - 2228*T1^8*T2^13 + 3858*T1^9*T2^13 - 1498*T1^10*T2^13 - 
      1498*T1^11*T2^13 + 3858*T1^12*T2^13 - 2228*T1^13*T2^13 + 
      63*T1^14*T2^13 + 657*T1^15*T2^13 - 259*T1^16*T2^13 + 148*T1^6*T2^14 - 
      562*T1^7*T2^14 + 734*T1^8*T2^14 + 63*T1^9*T2^14 - 1676*T1^10*T2^14 + 
      2260*T1^11*T2^14 - 1676*T1^12*T2^14 + 63*T1^13*T2^14 + 
      734*T1^14*T2^14 - 562*T1^15*T2^14 + 148*T1^16*T2^14 - 53*T1^7*T2^15 + 
      260*T1^8*T2^15 - 562*T1^9*T2^15 + 657*T1^10*T2^15 - 273*T1^11*T2^15 - 
      273*T1^12*T2^15 + 657*T1^13*T2^15 - 562*T1^14*T2^15 + 260*T1^15*T2^15 - 
      53*T1^16*T2^15 + 9*T1^8*T2^16 - 53*T1^9*T2^16 + 148*T1^10*T2^16 - 
      259*T1^11*T2^16 + 305*T1^12*T2^16 - 259*T1^13*T2^16 + 148*T1^14*T2^16 - 
      53*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 995] -> 
  {(8 - 28*T + 49*T^2 - 57*T^3 + 49*T^4 - 28*T^5 + 8*T^6)/T^3, 
   (1624 - 5568*T1 + 9629*T1^2 - 11140*T1^3 + 9629*T1^4 - 5568*T1^5 + 
     1624*T1^6 - 5568*T2 + 13616*T1*T2 - 14104*T1^2*T2 + 5285*T1^3*T2 + 
     5285*T1^4*T2 - 14104*T1^5*T2 + 13616*T1^6*T2 - 5568*T1^7*T2 + 
     9629*T2^2 - 14104*T1*T2^2 + 630*T1^2*T2^2 + 16697*T1^3*T2^2 - 
     20550*T1^4*T2^2 + 16697*T1^5*T2^2 + 630*T1^6*T2^2 - 14104*T1^7*T2^2 + 
     9629*T1^8*T2^2 - 11140*T2^3 + 5285*T1*T2^3 + 16697*T1^2*T2^3 - 
     22674*T1^3*T2^3 + 6094*T1^4*T2^3 + 6094*T1^5*T2^3 - 22674*T1^6*T2^3 + 
     16697*T1^7*T2^3 + 5285*T1^8*T2^3 - 11140*T1^9*T2^3 + 9629*T2^4 + 
     5285*T1*T2^4 - 20550*T1^2*T2^4 + 6094*T1^3*T2^4 + 17321*T1^4*T2^4 - 
     16381*T1^5*T2^4 + 17321*T1^6*T2^4 + 6094*T1^7*T2^4 - 20550*T1^8*T2^4 + 
     5285*T1^9*T2^4 + 9629*T1^10*T2^4 - 5568*T2^5 - 14104*T1*T2^5 + 
     16697*T1^2*T2^5 + 6094*T1^3*T2^5 - 16381*T1^4*T2^5 + 476*T1^5*T2^5 + 
     476*T1^6*T2^5 - 16381*T1^7*T2^5 + 6094*T1^8*T2^5 + 16697*T1^9*T2^5 - 
     14104*T1^10*T2^5 - 5568*T1^11*T2^5 + 1624*T2^6 + 13616*T1*T2^6 + 
     630*T1^2*T2^6 - 22674*T1^3*T2^6 + 17321*T1^4*T2^6 + 476*T1^5*T2^6 + 
     6072*T1^6*T2^6 + 476*T1^7*T2^6 + 17321*T1^8*T2^6 - 22674*T1^9*T2^6 + 
     630*T1^10*T2^6 + 13616*T1^11*T2^6 + 1624*T1^12*T2^6 - 5568*T1*T2^7 - 
     14104*T1^2*T2^7 + 16697*T1^3*T2^7 + 6094*T1^4*T2^7 - 16381*T1^5*T2^7 + 
     476*T1^6*T2^7 + 476*T1^7*T2^7 - 16381*T1^8*T2^7 + 6094*T1^9*T2^7 + 
     16697*T1^10*T2^7 - 14104*T1^11*T2^7 - 5568*T1^12*T2^7 + 9629*T1^2*T2^8 + 
     5285*T1^3*T2^8 - 20550*T1^4*T2^8 + 6094*T1^5*T2^8 + 17321*T1^6*T2^8 - 
     16381*T1^7*T2^8 + 17321*T1^8*T2^8 + 6094*T1^9*T2^8 - 20550*T1^10*T2^8 + 
     5285*T1^11*T2^8 + 9629*T1^12*T2^8 - 11140*T1^3*T2^9 + 5285*T1^4*T2^9 + 
     16697*T1^5*T2^9 - 22674*T1^6*T2^9 + 6094*T1^7*T2^9 + 6094*T1^8*T2^9 - 
     22674*T1^9*T2^9 + 16697*T1^10*T2^9 + 5285*T1^11*T2^9 - 
     11140*T1^12*T2^9 + 9629*T1^4*T2^10 - 14104*T1^5*T2^10 + 630*T1^6*T2^10 + 
     16697*T1^7*T2^10 - 20550*T1^8*T2^10 + 16697*T1^9*T2^10 + 
     630*T1^10*T2^10 - 14104*T1^11*T2^10 + 9629*T1^12*T2^10 - 
     5568*T1^5*T2^11 + 13616*T1^6*T2^11 - 14104*T1^7*T2^11 + 
     5285*T1^8*T2^11 + 5285*T1^9*T2^11 - 14104*T1^10*T2^11 + 
     13616*T1^11*T2^11 - 5568*T1^12*T2^11 + 1624*T1^6*T2^12 - 
     5568*T1^7*T2^12 + 9629*T1^8*T2^12 - 11140*T1^9*T2^12 + 
     9629*T1^10*T2^12 - 5568*T1^11*T2^12 + 1624*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 996] -> {(14 - 48*T + 69*T^2 - 48*T^3 + 14*T^4)/T^2, 
   (6531 - 21993*T1 + 31493*T1^2 - 21993*T1^3 + 6531*T1^4 - 21993*T2 + 
     52250*T1*T2 - 32128*T1^2*T2 - 32128*T1^3*T2 + 52250*T1^4*T2 - 
     21993*T1^5*T2 + 31493*T2^2 - 32128*T1*T2^2 - 67714*T1^2*T2^2 + 
     148092*T1^3*T2^2 - 67714*T1^4*T2^2 - 32128*T1^5*T2^2 + 31493*T1^6*T2^2 - 
     21993*T2^3 - 32128*T1*T2^3 + 148092*T1^2*T2^3 - 104452*T1^3*T2^3 - 
     104452*T1^4*T2^3 + 148092*T1^5*T2^3 - 32128*T1^6*T2^3 - 
     21993*T1^7*T2^3 + 6531*T2^4 + 52250*T1*T2^4 - 67714*T1^2*T2^4 - 
     104452*T1^3*T2^4 + 252252*T1^4*T2^4 - 104452*T1^5*T2^4 - 
     67714*T1^6*T2^4 + 52250*T1^7*T2^4 + 6531*T1^8*T2^4 - 21993*T1*T2^5 - 
     32128*T1^2*T2^5 + 148092*T1^3*T2^5 - 104452*T1^4*T2^5 - 
     104452*T1^5*T2^5 + 148092*T1^6*T2^5 - 32128*T1^7*T2^5 - 
     21993*T1^8*T2^5 + 31493*T1^2*T2^6 - 32128*T1^3*T2^6 - 67714*T1^4*T2^6 + 
     148092*T1^5*T2^6 - 67714*T1^6*T2^6 - 32128*T1^7*T2^6 + 31493*T1^8*T2^6 - 
     21993*T1^3*T2^7 + 52250*T1^4*T2^7 - 32128*T1^5*T2^7 - 32128*T1^6*T2^7 + 
     52250*T1^7*T2^7 - 21993*T1^8*T2^7 + 6531*T1^4*T2^8 - 21993*T1^5*T2^8 + 
     31493*T1^6*T2^8 - 21993*T1^7*T2^8 + 6531*T1^8*T2^8)/(T1^4*T2^4)}, 
 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), -((9 - 44*T1 + 113*T1^2 - 190*T1^3 + 219*T1^4 - 190*T1^5 + 
      113*T1^6 - 44*T1^7 + 9*T1^8 - 44*T2 + 172*T1*T2 - 339*T1^2*T2 + 
      378*T1^3*T2 - 143*T1^4*T2 - 143*T1^5*T2 + 378*T1^6*T2 - 339*T1^7*T2 + 
      172*T1^8*T2 - 44*T1^9*T2 + 113*T2^2 - 339*T1*T2^2 + 475*T1^2*T2^2 - 
      209*T1^3*T2^2 - 445*T1^4*T2^2 + 571*T1^5*T2^2 - 445*T1^6*T2^2 - 
      209*T1^7*T2^2 + 475*T1^8*T2^2 - 339*T1^9*T2^2 + 113*T1^10*T2^2 - 
      190*T2^3 + 378*T1*T2^3 - 209*T1^2*T2^3 - 526*T1^3*T2^3 + 
      1252*T1^4*T2^3 - 306*T1^5*T2^3 - 306*T1^6*T2^3 + 1252*T1^7*T2^3 - 
      526*T1^8*T2^3 - 209*T1^9*T2^3 + 378*T1^10*T2^3 - 190*T1^11*T2^3 + 
      219*T2^4 - 143*T1*T2^4 - 445*T1^2*T2^4 + 1252*T1^3*T2^4 - 
      1005*T1^4*T2^4 - 1669*T1^5*T2^4 + 1633*T1^6*T2^4 - 1669*T1^7*T2^4 - 
      1005*T1^8*T2^4 + 1252*T1^9*T2^4 - 445*T1^10*T2^4 - 143*T1^11*T2^4 + 
      219*T1^12*T2^4 - 190*T2^5 - 143*T1*T2^5 + 571*T1^2*T2^5 - 
      306*T1^3*T2^5 - 1669*T1^4*T2^5 + 4520*T1^5*T2^5 - 944*T1^6*T2^5 - 
      944*T1^7*T2^5 + 4520*T1^8*T2^5 - 1669*T1^9*T2^5 - 306*T1^10*T2^5 + 
      571*T1^11*T2^5 - 143*T1^12*T2^5 - 190*T1^13*T2^5 + 113*T2^6 + 
      378*T1*T2^6 - 445*T1^2*T2^6 - 306*T1^3*T2^6 + 1633*T1^4*T2^6 - 
      944*T1^5*T2^6 - 6606*T1^6*T2^6 + 6760*T1^7*T2^6 - 6606*T1^8*T2^6 - 
      944*T1^9*T2^6 + 1633*T1^10*T2^6 - 306*T1^11*T2^6 - 445*T1^12*T2^6 + 
      378*T1^13*T2^6 + 113*T1^14*T2^6 - 44*T2^7 - 339*T1*T2^7 - 
      209*T1^2*T2^7 + 1252*T1^3*T2^7 - 1669*T1^4*T2^7 - 944*T1^5*T2^7 + 
      6760*T1^6*T2^7 - 1264*T1^7*T2^7 - 1264*T1^8*T2^7 + 6760*T1^9*T2^7 - 
      944*T1^10*T2^7 - 1669*T1^11*T2^7 + 1252*T1^12*T2^7 - 209*T1^13*T2^7 - 
      339*T1^14*T2^7 - 44*T1^15*T2^7 + 9*T2^8 + 172*T1*T2^8 + 475*T1^2*T2^8 - 
      526*T1^3*T2^8 - 1005*T1^4*T2^8 + 4520*T1^5*T2^8 - 6606*T1^6*T2^8 - 
      1264*T1^7*T2^8 + 804*T1^8*T2^8 - 1264*T1^9*T2^8 - 6606*T1^10*T2^8 + 
      4520*T1^11*T2^8 - 1005*T1^12*T2^8 - 526*T1^13*T2^8 + 475*T1^14*T2^8 + 
      172*T1^15*T2^8 + 9*T1^16*T2^8 - 44*T1*T2^9 - 339*T1^2*T2^9 - 
      209*T1^3*T2^9 + 1252*T1^4*T2^9 - 1669*T1^5*T2^9 - 944*T1^6*T2^9 + 
      6760*T1^7*T2^9 - 1264*T1^8*T2^9 - 1264*T1^9*T2^9 + 6760*T1^10*T2^9 - 
      944*T1^11*T2^9 - 1669*T1^12*T2^9 + 1252*T1^13*T2^9 - 209*T1^14*T2^9 - 
      339*T1^15*T2^9 - 44*T1^16*T2^9 + 113*T1^2*T2^10 + 378*T1^3*T2^10 - 
      445*T1^4*T2^10 - 306*T1^5*T2^10 + 1633*T1^6*T2^10 - 944*T1^7*T2^10 - 
      6606*T1^8*T2^10 + 6760*T1^9*T2^10 - 6606*T1^10*T2^10 - 
      944*T1^11*T2^10 + 1633*T1^12*T2^10 - 306*T1^13*T2^10 - 
      445*T1^14*T2^10 + 378*T1^15*T2^10 + 113*T1^16*T2^10 - 190*T1^3*T2^11 - 
      143*T1^4*T2^11 + 571*T1^5*T2^11 - 306*T1^6*T2^11 - 1669*T1^7*T2^11 + 
      4520*T1^8*T2^11 - 944*T1^9*T2^11 - 944*T1^10*T2^11 + 4520*T1^11*T2^11 - 
      1669*T1^12*T2^11 - 306*T1^13*T2^11 + 571*T1^14*T2^11 - 
      143*T1^15*T2^11 - 190*T1^16*T2^11 + 219*T1^4*T2^12 - 143*T1^5*T2^12 - 
      445*T1^6*T2^12 + 1252*T1^7*T2^12 - 1005*T1^8*T2^12 - 1669*T1^9*T2^12 + 
      1633*T1^10*T2^12 - 1669*T1^11*T2^12 - 1005*T1^12*T2^12 + 
      1252*T1^13*T2^12 - 445*T1^14*T2^12 - 143*T1^15*T2^12 + 
      219*T1^16*T2^12 - 190*T1^5*T2^13 + 378*T1^6*T2^13 - 209*T1^7*T2^13 - 
      526*T1^8*T2^13 + 1252*T1^9*T2^13 - 306*T1^10*T2^13 - 306*T1^11*T2^13 + 
      1252*T1^12*T2^13 - 526*T1^13*T2^13 - 209*T1^14*T2^13 + 
      378*T1^15*T2^13 - 190*T1^16*T2^13 + 113*T1^6*T2^14 - 339*T1^7*T2^14 + 
      475*T1^8*T2^14 - 209*T1^9*T2^14 - 445*T1^10*T2^14 + 571*T1^11*T2^14 - 
      445*T1^12*T2^14 - 209*T1^13*T2^14 + 475*T1^14*T2^14 - 339*T1^15*T2^14 + 
      113*T1^16*T2^14 - 44*T1^7*T2^15 + 172*T1^8*T2^15 - 339*T1^9*T2^15 + 
      378*T1^10*T2^15 - 143*T1^11*T2^15 - 143*T1^12*T2^15 + 378*T1^13*T2^15 - 
      339*T1^14*T2^15 + 172*T1^15*T2^15 - 44*T1^16*T2^15 + 9*T1^8*T2^16 - 
      44*T1^9*T2^16 + 113*T1^10*T2^16 - 190*T1^11*T2^16 + 219*T1^12*T2^16 - 
      190*T1^13*T2^16 + 113*T1^14*T2^16 - 44*T1^15*T2^16 + 9*T1^16*T2^16)/
     (T1^8*T2^8))}, 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), -((9 - 48*T1 + 129*T1^2 - 222*T1^3 + 259*T1^4 - 222*T1^5 + 
      129*T1^6 - 48*T1^7 + 9*T1^8 - 48*T2 + 208*T1*T2 - 431*T1^2*T2 + 
      494*T1^3*T2 - 197*T1^4*T2 - 197*T1^5*T2 + 494*T1^6*T2 - 431*T1^7*T2 + 
      208*T1^8*T2 - 48*T1^9*T2 + 129*T2^2 - 431*T1*T2^2 + 598*T1^2*T2^2 - 
      157*T1^3*T2^2 - 838*T1^4*T2^2 + 1126*T1^5*T2^2 - 838*T1^6*T2^2 - 
      157*T1^7*T2^2 + 598*T1^8*T2^2 - 431*T1^9*T2^2 + 129*T1^10*T2^2 - 
      222*T2^3 + 494*T1*T2^3 - 157*T1^2*T2^3 - 1060*T1^3*T2^3 + 
      2113*T1^4*T2^3 - 697*T1^5*T2^3 - 697*T1^6*T2^3 + 2113*T1^7*T2^3 - 
      1060*T1^8*T2^3 - 157*T1^9*T2^3 + 494*T1^10*T2^3 - 222*T1^11*T2^3 + 
      259*T2^4 - 197*T1*T2^4 - 838*T1^2*T2^4 + 2113*T1^3*T2^4 - 
      1557*T1^4*T2^4 - 2429*T1^5*T2^4 + 2915*T1^6*T2^4 - 2429*T1^7*T2^4 - 
      1557*T1^8*T2^4 + 2113*T1^9*T2^4 - 838*T1^10*T2^4 - 197*T1^11*T2^4 + 
      259*T1^12*T2^4 - 222*T2^5 - 197*T1*T2^5 + 1126*T1^2*T2^5 - 
      697*T1^3*T2^5 - 2429*T1^4*T2^5 + 6538*T1^5*T2^5 - 1793*T1^6*T2^5 - 
      1793*T1^7*T2^5 + 6538*T1^8*T2^5 - 2429*T1^9*T2^5 - 697*T1^10*T2^5 + 
      1126*T1^11*T2^5 - 197*T1^12*T2^5 - 222*T1^13*T2^5 + 129*T2^6 + 
      494*T1*T2^6 - 838*T1^2*T2^6 - 697*T1^3*T2^6 + 2915*T1^4*T2^6 - 
      1793*T1^5*T2^6 - 8836*T1^6*T2^6 + 9968*T1^7*T2^6 - 8836*T1^8*T2^6 - 
      1793*T1^9*T2^6 + 2915*T1^10*T2^6 - 697*T1^11*T2^6 - 838*T1^12*T2^6 + 
      494*T1^13*T2^6 + 129*T1^14*T2^6 - 48*T2^7 - 431*T1*T2^7 - 
      157*T1^2*T2^7 + 2113*T1^3*T2^7 - 2429*T1^4*T2^7 - 1793*T1^5*T2^7 + 
      9968*T1^6*T2^7 - 2516*T1^7*T2^7 - 2516*T1^8*T2^7 + 9968*T1^9*T2^7 - 
      1793*T1^10*T2^7 - 2429*T1^11*T2^7 + 2113*T1^12*T2^7 - 157*T1^13*T2^7 - 
      431*T1^14*T2^7 - 48*T1^15*T2^7 + 9*T2^8 + 208*T1*T2^8 + 598*T1^2*T2^8 - 
      1060*T1^3*T2^8 - 1557*T1^4*T2^8 + 6538*T1^5*T2^8 - 8836*T1^6*T2^8 - 
      2516*T1^7*T2^8 + 3000*T1^8*T2^8 - 2516*T1^9*T2^8 - 8836*T1^10*T2^8 + 
      6538*T1^11*T2^8 - 1557*T1^12*T2^8 - 1060*T1^13*T2^8 + 598*T1^14*T2^8 + 
      208*T1^15*T2^8 + 9*T1^16*T2^8 - 48*T1*T2^9 - 431*T1^2*T2^9 - 
      157*T1^3*T2^9 + 2113*T1^4*T2^9 - 2429*T1^5*T2^9 - 1793*T1^6*T2^9 + 
      9968*T1^7*T2^9 - 2516*T1^8*T2^9 - 2516*T1^9*T2^9 + 9968*T1^10*T2^9 - 
      1793*T1^11*T2^9 - 2429*T1^12*T2^9 + 2113*T1^13*T2^9 - 157*T1^14*T2^9 - 
      431*T1^15*T2^9 - 48*T1^16*T2^9 + 129*T1^2*T2^10 + 494*T1^3*T2^10 - 
      838*T1^4*T2^10 - 697*T1^5*T2^10 + 2915*T1^6*T2^10 - 1793*T1^7*T2^10 - 
      8836*T1^8*T2^10 + 9968*T1^9*T2^10 - 8836*T1^10*T2^10 - 
      1793*T1^11*T2^10 + 2915*T1^12*T2^10 - 697*T1^13*T2^10 - 
      838*T1^14*T2^10 + 494*T1^15*T2^10 + 129*T1^16*T2^10 - 222*T1^3*T2^11 - 
      197*T1^4*T2^11 + 1126*T1^5*T2^11 - 697*T1^6*T2^11 - 2429*T1^7*T2^11 + 
      6538*T1^8*T2^11 - 1793*T1^9*T2^11 - 1793*T1^10*T2^11 + 
      6538*T1^11*T2^11 - 2429*T1^12*T2^11 - 697*T1^13*T2^11 + 
      1126*T1^14*T2^11 - 197*T1^15*T2^11 - 222*T1^16*T2^11 + 259*T1^4*T2^12 - 
      197*T1^5*T2^12 - 838*T1^6*T2^12 + 2113*T1^7*T2^12 - 1557*T1^8*T2^12 - 
      2429*T1^9*T2^12 + 2915*T1^10*T2^12 - 2429*T1^11*T2^12 - 
      1557*T1^12*T2^12 + 2113*T1^13*T2^12 - 838*T1^14*T2^12 - 
      197*T1^15*T2^12 + 259*T1^16*T2^12 - 222*T1^5*T2^13 + 494*T1^6*T2^13 - 
      157*T1^7*T2^13 - 1060*T1^8*T2^13 + 2113*T1^9*T2^13 - 697*T1^10*T2^13 - 
      697*T1^11*T2^13 + 2113*T1^12*T2^13 - 1060*T1^13*T2^13 - 
      157*T1^14*T2^13 + 494*T1^15*T2^13 - 222*T1^16*T2^13 + 129*T1^6*T2^14 - 
      431*T1^7*T2^14 + 598*T1^8*T2^14 - 157*T1^9*T2^14 - 838*T1^10*T2^14 + 
      1126*T1^11*T2^14 - 838*T1^12*T2^14 - 157*T1^13*T2^14 + 
      598*T1^14*T2^14 - 431*T1^15*T2^14 + 129*T1^16*T2^14 - 48*T1^7*T2^15 + 
      208*T1^8*T2^15 - 431*T1^9*T2^15 + 494*T1^10*T2^15 - 197*T1^11*T2^15 - 
      197*T1^12*T2^15 + 494*T1^13*T2^15 - 431*T1^14*T2^15 + 208*T1^15*T2^15 - 
      48*T1^16*T2^15 + 9*T1^8*T2^16 - 48*T1^9*T2^16 + 129*T1^10*T2^16 - 
      222*T1^11*T2^16 + 259*T1^12*T2^16 - 222*T1^13*T2^16 + 129*T1^14*T2^16 - 
      48*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   -((1 - 4*T1 + 11*T1^2 - 21*T1^3 + 31*T1^4 - 35*T1^5 + 31*T1^6 - 21*T1^7 + 
      11*T1^8 - 4*T1^9 + T1^10 - 4*T2 + 12*T1*T2 - 28*T1^2*T2 + 40*T1^3*T2 - 
      40*T1^4*T2 + 16*T1^5*T2 + 16*T1^6*T2 - 40*T1^7*T2 + 40*T1^8*T2 - 
      28*T1^9*T2 + 12*T1^10*T2 - 4*T1^11*T2 + 11*T2^2 - 28*T1*T2^2 + 
      67*T1^2*T2^2 - 95*T1^3*T2^2 + 114*T1^4*T2^2 - 94*T1^5*T2^2 + 
      87*T1^6*T2^2 - 94*T1^7*T2^2 + 114*T1^8*T2^2 - 95*T1^9*T2^2 + 
      67*T1^10*T2^2 - 28*T1^11*T2^2 + 11*T1^12*T2^2 - 21*T2^3 + 40*T1*T2^3 - 
      95*T1^2*T2^3 + 100*T1^3*T2^3 - 97*T1^4*T2^3 + 15*T1^5*T2^3 - 
      3*T1^6*T2^3 - 3*T1^7*T2^3 + 15*T1^8*T2^3 - 97*T1^9*T2^3 + 
      100*T1^10*T2^3 - 95*T1^11*T2^3 + 40*T1^12*T2^3 - 21*T1^13*T2^3 + 
      31*T2^4 - 40*T1*T2^4 + 114*T1^2*T2^4 - 97*T1^3*T2^4 + 151*T1^4*T2^4 - 
      112*T1^5*T2^4 + 263*T1^6*T2^4 - 307*T1^7*T2^4 + 263*T1^8*T2^4 - 
      112*T1^9*T2^4 + 151*T1^10*T2^4 - 97*T1^11*T2^4 + 114*T1^12*T2^4 - 
      40*T1^13*T2^4 + 31*T1^14*T2^4 - 35*T2^5 + 16*T1*T2^5 - 94*T1^2*T2^5 + 
      15*T1^3*T2^5 - 112*T1^4*T2^5 + 28*T1^5*T2^5 - 231*T1^6*T2^5 + 
      89*T1^7*T2^5 + 89*T1^8*T2^5 - 231*T1^9*T2^5 + 28*T1^10*T2^5 - 
      112*T1^11*T2^5 + 15*T1^12*T2^5 - 94*T1^13*T2^5 + 16*T1^14*T2^5 - 
      35*T1^15*T2^5 + 31*T2^6 + 16*T1*T2^6 + 87*T1^2*T2^6 - 3*T1^3*T2^6 + 
      263*T1^4*T2^6 - 231*T1^5*T2^6 + 581*T1^6*T2^6 - 295*T1^7*T2^6 + 
      221*T1^8*T2^6 - 295*T1^9*T2^6 + 581*T1^10*T2^6 - 231*T1^11*T2^6 + 
      263*T1^12*T2^6 - 3*T1^13*T2^6 + 87*T1^14*T2^6 + 16*T1^15*T2^6 + 
      31*T1^16*T2^6 - 21*T2^7 - 40*T1*T2^7 - 94*T1^2*T2^7 - 3*T1^3*T2^7 - 
      307*T1^4*T2^7 + 89*T1^5*T2^7 - 295*T1^6*T2^7 - 294*T1^7*T2^7 + 
      138*T1^8*T2^7 + 138*T1^9*T2^7 - 294*T1^10*T2^7 - 295*T1^11*T2^7 + 
      89*T1^12*T2^7 - 307*T1^13*T2^7 - 3*T1^14*T2^7 - 94*T1^15*T2^7 - 
      40*T1^16*T2^7 - 21*T1^17*T2^7 + 11*T2^8 + 40*T1*T2^8 + 114*T1^2*T2^8 + 
      15*T1^3*T2^8 + 263*T1^4*T2^8 + 89*T1^5*T2^8 + 221*T1^6*T2^8 + 
      138*T1^7*T2^8 + 659*T1^8*T2^8 - 961*T1^9*T2^8 + 659*T1^10*T2^8 + 
      138*T1^11*T2^8 + 221*T1^12*T2^8 + 89*T1^13*T2^8 + 263*T1^14*T2^8 + 
      15*T1^15*T2^8 + 114*T1^16*T2^8 + 40*T1^17*T2^8 + 11*T1^18*T2^8 - 
      4*T2^9 - 28*T1*T2^9 - 95*T1^2*T2^9 - 97*T1^3*T2^9 - 112*T1^4*T2^9 - 
      231*T1^5*T2^9 - 295*T1^6*T2^9 + 138*T1^7*T2^9 - 961*T1^8*T2^9 + 
      450*T1^9*T2^9 + 450*T1^10*T2^9 - 961*T1^11*T2^9 + 138*T1^12*T2^9 - 
      295*T1^13*T2^9 - 231*T1^14*T2^9 - 112*T1^15*T2^9 - 97*T1^16*T2^9 - 
      95*T1^17*T2^9 - 28*T1^18*T2^9 - 4*T1^19*T2^9 + T2^10 + 12*T1*T2^10 + 
      67*T1^2*T2^10 + 100*T1^3*T2^10 + 151*T1^4*T2^10 + 28*T1^5*T2^10 + 
      581*T1^6*T2^10 - 294*T1^7*T2^10 + 659*T1^8*T2^10 + 450*T1^9*T2^10 - 
      924*T1^10*T2^10 + 450*T1^11*T2^10 + 659*T1^12*T2^10 - 294*T1^13*T2^10 + 
      581*T1^14*T2^10 + 28*T1^15*T2^10 + 151*T1^16*T2^10 + 100*T1^17*T2^10 + 
      67*T1^18*T2^10 + 12*T1^19*T2^10 + T1^20*T2^10 - 4*T1*T2^11 - 
      28*T1^2*T2^11 - 95*T1^3*T2^11 - 97*T1^4*T2^11 - 112*T1^5*T2^11 - 
      231*T1^6*T2^11 - 295*T1^7*T2^11 + 138*T1^8*T2^11 - 961*T1^9*T2^11 + 
      450*T1^10*T2^11 + 450*T1^11*T2^11 - 961*T1^12*T2^11 + 138*T1^13*T2^11 - 
      295*T1^14*T2^11 - 231*T1^15*T2^11 - 112*T1^16*T2^11 - 97*T1^17*T2^11 - 
      95*T1^18*T2^11 - 28*T1^19*T2^11 - 4*T1^20*T2^11 + 11*T1^2*T2^12 + 
      40*T1^3*T2^12 + 114*T1^4*T2^12 + 15*T1^5*T2^12 + 263*T1^6*T2^12 + 
      89*T1^7*T2^12 + 221*T1^8*T2^12 + 138*T1^9*T2^12 + 659*T1^10*T2^12 - 
      961*T1^11*T2^12 + 659*T1^12*T2^12 + 138*T1^13*T2^12 + 221*T1^14*T2^12 + 
      89*T1^15*T2^12 + 263*T1^16*T2^12 + 15*T1^17*T2^12 + 114*T1^18*T2^12 + 
      40*T1^19*T2^12 + 11*T1^20*T2^12 - 21*T1^3*T2^13 - 40*T1^4*T2^13 - 
      94*T1^5*T2^13 - 3*T1^6*T2^13 - 307*T1^7*T2^13 + 89*T1^8*T2^13 - 
      295*T1^9*T2^13 - 294*T1^10*T2^13 + 138*T1^11*T2^13 + 138*T1^12*T2^13 - 
      294*T1^13*T2^13 - 295*T1^14*T2^13 + 89*T1^15*T2^13 - 307*T1^16*T2^13 - 
      3*T1^17*T2^13 - 94*T1^18*T2^13 - 40*T1^19*T2^13 - 21*T1^20*T2^13 + 
      31*T1^4*T2^14 + 16*T1^5*T2^14 + 87*T1^6*T2^14 - 3*T1^7*T2^14 + 
      263*T1^8*T2^14 - 231*T1^9*T2^14 + 581*T1^10*T2^14 - 295*T1^11*T2^14 + 
      221*T1^12*T2^14 - 295*T1^13*T2^14 + 581*T1^14*T2^14 - 231*T1^15*T2^14 + 
      263*T1^16*T2^14 - 3*T1^17*T2^14 + 87*T1^18*T2^14 + 16*T1^19*T2^14 + 
      31*T1^20*T2^14 - 35*T1^5*T2^15 + 16*T1^6*T2^15 - 94*T1^7*T2^15 + 
      15*T1^8*T2^15 - 112*T1^9*T2^15 + 28*T1^10*T2^15 - 231*T1^11*T2^15 + 
      89*T1^12*T2^15 + 89*T1^13*T2^15 - 231*T1^14*T2^15 + 28*T1^15*T2^15 - 
      112*T1^16*T2^15 + 15*T1^17*T2^15 - 94*T1^18*T2^15 + 16*T1^19*T2^15 - 
      35*T1^20*T2^15 + 31*T1^6*T2^16 - 40*T1^7*T2^16 + 114*T1^8*T2^16 - 
      97*T1^9*T2^16 + 151*T1^10*T2^16 - 112*T1^11*T2^16 + 263*T1^12*T2^16 - 
      307*T1^13*T2^16 + 263*T1^14*T2^16 - 112*T1^15*T2^16 + 151*T1^16*T2^16 - 
      97*T1^17*T2^16 + 114*T1^18*T2^16 - 40*T1^19*T2^16 + 31*T1^20*T2^16 - 
      21*T1^7*T2^17 + 40*T1^8*T2^17 - 95*T1^9*T2^17 + 100*T1^10*T2^17 - 
      97*T1^11*T2^17 + 15*T1^12*T2^17 - 3*T1^13*T2^17 - 3*T1^14*T2^17 + 
      15*T1^15*T2^17 - 97*T1^16*T2^17 + 100*T1^17*T2^17 - 95*T1^18*T2^17 + 
      40*T1^19*T2^17 - 21*T1^20*T2^17 + 11*T1^8*T2^18 - 28*T1^9*T2^18 + 
      67*T1^10*T2^18 - 95*T1^11*T2^18 + 114*T1^12*T2^18 - 94*T1^13*T2^18 + 
      87*T1^14*T2^18 - 94*T1^15*T2^18 + 114*T1^16*T2^18 - 95*T1^17*T2^18 + 
      67*T1^18*T2^18 - 28*T1^19*T2^18 + 11*T1^20*T2^18 - 4*T1^9*T2^19 + 
      12*T1^10*T2^19 - 28*T1^11*T2^19 + 40*T1^12*T2^19 - 40*T1^13*T2^19 + 
      16*T1^14*T2^19 + 16*T1^15*T2^19 - 40*T1^16*T2^19 + 40*T1^17*T2^19 - 
      28*T1^18*T2^19 + 12*T1^19*T2^19 - 4*T1^20*T2^19 + T1^10*T2^20 - 
      4*T1^11*T2^20 + 11*T1^12*T2^20 - 21*T1^13*T2^20 + 31*T1^14*T2^20 - 
      35*T1^15*T2^20 + 31*T1^16*T2^20 - 21*T1^17*T2^20 + 11*T1^18*T2^20 - 
      4*T1^19*T2^20 + T1^20*T2^20)/(T1^10*T2^10))}, 
 Knot[12, Alternating, 1000] -> 
  {((1 - T + T^2)^2*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^4, 
   -((1 - 4*T1 + 10*T1^2 - 16*T1^3 + 19*T1^4 - 16*T1^5 + 10*T1^6 - 4*T1^7 + 
      T1^8 - 4*T2 + 12*T1*T2 - 24*T1^2*T2 + 24*T1^3*T2 - 12*T1^4*T2 - 
      12*T1^5*T2 + 24*T1^6*T2 - 24*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 
      10*T2^2 - 24*T1*T2^2 + 42*T1^2*T2^2 - 34*T1^3*T2^2 + 44*T1^4*T2^2 - 
      42*T1^5*T2^2 + 44*T1^6*T2^2 - 34*T1^7*T2^2 + 42*T1^8*T2^2 - 
      24*T1^9*T2^2 + 10*T1^10*T2^2 - 16*T2^3 + 24*T1*T2^3 - 34*T1^2*T2^3 + 
      10*T1^3*T2^3 - 72*T1^4*T2^3 + 36*T1^5*T2^3 + 36*T1^6*T2^3 - 
      72*T1^7*T2^3 + 10*T1^8*T2^3 - 34*T1^9*T2^3 + 24*T1^10*T2^3 - 
      16*T1^11*T2^3 + 19*T2^4 - 12*T1*T2^4 + 44*T1^2*T2^4 - 72*T1^3*T2^4 + 
      287*T1^4*T2^4 - 206*T1^5*T2^4 + 145*T1^6*T2^4 - 206*T1^7*T2^4 + 
      287*T1^8*T2^4 - 72*T1^9*T2^4 + 44*T1^10*T2^4 - 12*T1^11*T2^4 + 
      19*T1^12*T2^4 - 16*T2^5 - 12*T1*T2^5 - 42*T1^2*T2^5 + 36*T1^3*T2^5 - 
      206*T1^4*T2^5 - 164*T1^5*T2^5 + 122*T1^6*T2^5 + 122*T1^7*T2^5 - 
      164*T1^8*T2^5 - 206*T1^9*T2^5 + 36*T1^10*T2^5 - 42*T1^11*T2^5 - 
      12*T1^12*T2^5 - 16*T1^13*T2^5 + 10*T2^6 + 24*T1*T2^6 + 44*T1^2*T2^6 + 
      36*T1^3*T2^6 + 145*T1^4*T2^6 + 122*T1^5*T2^6 + 606*T1^6*T2^6 - 
      996*T1^7*T2^6 + 606*T1^8*T2^6 + 122*T1^9*T2^6 + 145*T1^10*T2^6 + 
      36*T1^11*T2^6 + 44*T1^12*T2^6 + 24*T1^13*T2^6 + 10*T1^14*T2^6 - 
      4*T2^7 - 24*T1*T2^7 - 34*T1^2*T2^7 - 72*T1^3*T2^7 - 206*T1^4*T2^7 + 
      122*T1^5*T2^7 - 996*T1^6*T2^7 + 532*T1^7*T2^7 + 532*T1^8*T2^7 - 
      996*T1^9*T2^7 + 122*T1^10*T2^7 - 206*T1^11*T2^7 - 72*T1^12*T2^7 - 
      34*T1^13*T2^7 - 24*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 
      42*T1^2*T2^8 + 10*T1^3*T2^8 + 287*T1^4*T2^8 - 164*T1^5*T2^8 + 
      606*T1^6*T2^8 + 532*T1^7*T2^8 - 1128*T1^8*T2^8 + 532*T1^9*T2^8 + 
      606*T1^10*T2^8 - 164*T1^11*T2^8 + 287*T1^12*T2^8 + 10*T1^13*T2^8 + 
      42*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 24*T1^2*T2^9 - 
      34*T1^3*T2^9 - 72*T1^4*T2^9 - 206*T1^5*T2^9 + 122*T1^6*T2^9 - 
      996*T1^7*T2^9 + 532*T1^8*T2^9 + 532*T1^9*T2^9 - 996*T1^10*T2^9 + 
      122*T1^11*T2^9 - 206*T1^12*T2^9 - 72*T1^13*T2^9 - 34*T1^14*T2^9 - 
      24*T1^15*T2^9 - 4*T1^16*T2^9 + 10*T1^2*T2^10 + 24*T1^3*T2^10 + 
      44*T1^4*T2^10 + 36*T1^5*T2^10 + 145*T1^6*T2^10 + 122*T1^7*T2^10 + 
      606*T1^8*T2^10 - 996*T1^9*T2^10 + 606*T1^10*T2^10 + 122*T1^11*T2^10 + 
      145*T1^12*T2^10 + 36*T1^13*T2^10 + 44*T1^14*T2^10 + 24*T1^15*T2^10 + 
      10*T1^16*T2^10 - 16*T1^3*T2^11 - 12*T1^4*T2^11 - 42*T1^5*T2^11 + 
      36*T1^6*T2^11 - 206*T1^7*T2^11 - 164*T1^8*T2^11 + 122*T1^9*T2^11 + 
      122*T1^10*T2^11 - 164*T1^11*T2^11 - 206*T1^12*T2^11 + 36*T1^13*T2^11 - 
      42*T1^14*T2^11 - 12*T1^15*T2^11 - 16*T1^16*T2^11 + 19*T1^4*T2^12 - 
      12*T1^5*T2^12 + 44*T1^6*T2^12 - 72*T1^7*T2^12 + 287*T1^8*T2^12 - 
      206*T1^9*T2^12 + 145*T1^10*T2^12 - 206*T1^11*T2^12 + 287*T1^12*T2^12 - 
      72*T1^13*T2^12 + 44*T1^14*T2^12 - 12*T1^15*T2^12 + 19*T1^16*T2^12 - 
      16*T1^5*T2^13 + 24*T1^6*T2^13 - 34*T1^7*T2^13 + 10*T1^8*T2^13 - 
      72*T1^9*T2^13 + 36*T1^10*T2^13 + 36*T1^11*T2^13 - 72*T1^12*T2^13 + 
      10*T1^13*T2^13 - 34*T1^14*T2^13 + 24*T1^15*T2^13 - 16*T1^16*T2^13 + 
      10*T1^6*T2^14 - 24*T1^7*T2^14 + 42*T1^8*T2^14 - 34*T1^9*T2^14 + 
      44*T1^10*T2^14 - 42*T1^11*T2^14 + 44*T1^12*T2^14 - 34*T1^13*T2^14 + 
      42*T1^14*T2^14 - 24*T1^15*T2^14 + 10*T1^16*T2^14 - 4*T1^7*T2^15 + 
      12*T1^8*T2^15 - 24*T1^9*T2^15 + 24*T1^10*T2^15 - 12*T1^11*T2^15 - 
      12*T1^12*T2^15 + 24*T1^13*T2^15 - 24*T1^14*T2^15 + 12*T1^15*T2^15 - 
      4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 10*T1^10*T2^16 - 
      16*T1^11*T2^16 + 19*T1^12*T2^16 - 16*T1^13*T2^16 + 10*T1^14*T2^16 - 
      4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 1001] -> 
  {-((4 - 19*T + 43*T^2 - 57*T^3 + 43*T^4 - 19*T^5 + 4*T^6)/T^3), 
   -((16 - 72*T1 + 160*T1^2 - 216*T1^3 + 160*T1^4 - 72*T1^5 + 16*T1^6 - 
      72*T2 + 256*T1*T2 - 401*T1^2*T2 + 253*T1^3*T2 + 253*T1^4*T2 - 
      401*T1^5*T2 + 256*T1^6*T2 - 72*T1^7*T2 + 160*T2^2 - 401*T1*T2^2 + 
      349*T1^2*T2^2 + 144*T1^3*T2^2 - 857*T1^4*T2^2 + 144*T1^5*T2^2 + 
      349*T1^6*T2^2 - 401*T1^7*T2^2 + 160*T1^8*T2^2 - 216*T2^3 + 
      253*T1*T2^3 + 144*T1^2*T2^3 - 586*T1^3*T2^3 + 994*T1^4*T2^3 + 
      994*T1^5*T2^3 - 586*T1^6*T2^3 + 144*T1^7*T2^3 + 253*T1^8*T2^3 - 
      216*T1^9*T2^3 + 160*T2^4 + 253*T1*T2^4 - 857*T1^2*T2^4 + 
      994*T1^3*T2^4 - 988*T1^4*T2^4 - 1876*T1^5*T2^4 - 988*T1^6*T2^4 + 
      994*T1^7*T2^4 - 857*T1^8*T2^4 + 253*T1^9*T2^4 + 160*T1^10*T2^4 - 
      72*T2^5 - 401*T1*T2^5 + 144*T1^2*T2^5 + 994*T1^3*T2^5 - 
      1876*T1^4*T2^5 + 3484*T1^5*T2^5 + 3484*T1^6*T2^5 - 1876*T1^7*T2^5 + 
      994*T1^8*T2^5 + 144*T1^9*T2^5 - 401*T1^10*T2^5 - 72*T1^11*T2^5 + 
      16*T2^6 + 256*T1*T2^6 + 349*T1^2*T2^6 - 586*T1^3*T2^6 - 988*T1^4*T2^6 + 
      3484*T1^5*T2^6 - 10428*T1^6*T2^6 + 3484*T1^7*T2^6 - 988*T1^8*T2^6 - 
      586*T1^9*T2^6 + 349*T1^10*T2^6 + 256*T1^11*T2^6 + 16*T1^12*T2^6 - 
      72*T1*T2^7 - 401*T1^2*T2^7 + 144*T1^3*T2^7 + 994*T1^4*T2^7 - 
      1876*T1^5*T2^7 + 3484*T1^6*T2^7 + 3484*T1^7*T2^7 - 1876*T1^8*T2^7 + 
      994*T1^9*T2^7 + 144*T1^10*T2^7 - 401*T1^11*T2^7 - 72*T1^12*T2^7 + 
      160*T1^2*T2^8 + 253*T1^3*T2^8 - 857*T1^4*T2^8 + 994*T1^5*T2^8 - 
      988*T1^6*T2^8 - 1876*T1^7*T2^8 - 988*T1^8*T2^8 + 994*T1^9*T2^8 - 
      857*T1^10*T2^8 + 253*T1^11*T2^8 + 160*T1^12*T2^8 - 216*T1^3*T2^9 + 
      253*T1^4*T2^9 + 144*T1^5*T2^9 - 586*T1^6*T2^9 + 994*T1^7*T2^9 + 
      994*T1^8*T2^9 - 586*T1^9*T2^9 + 144*T1^10*T2^9 + 253*T1^11*T2^9 - 
      216*T1^12*T2^9 + 160*T1^4*T2^10 - 401*T1^5*T2^10 + 349*T1^6*T2^10 + 
      144*T1^7*T2^10 - 857*T1^8*T2^10 + 144*T1^9*T2^10 + 349*T1^10*T2^10 - 
      401*T1^11*T2^10 + 160*T1^12*T2^10 - 72*T1^5*T2^11 + 256*T1^6*T2^11 - 
      401*T1^7*T2^11 + 253*T1^8*T2^11 + 253*T1^9*T2^11 - 401*T1^10*T2^11 + 
      256*T1^11*T2^11 - 72*T1^12*T2^11 + 16*T1^6*T2^12 - 72*T1^7*T2^12 + 
      160*T1^8*T2^12 - 216*T1^9*T2^12 + 160*T1^10*T2^12 - 72*T1^11*T2^12 + 
      16*T1^12*T2^12)/(T1^6*T2^6))}, 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, -((1 - 5*T1 + 13*T1^2 - 23*T1^3 + 32*T1^4 - 
      35*T1^5 + 32*T1^6 - 23*T1^7 + 13*T1^8 - 5*T1^9 + T1^10 - 5*T2 + 
      20*T1*T2 - 40*T1^2*T2 + 50*T1^3*T2 - 45*T1^4*T2 + 15*T1^5*T2 + 
      15*T1^6*T2 - 45*T1^7*T2 + 50*T1^8*T2 - 40*T1^9*T2 + 20*T1^10*T2 - 
      5*T1^11*T2 + 13*T2^2 - 40*T1*T2^2 + 56*T1^2*T2^2 - 34*T1^3*T2^2 - 
      2*T1^4*T2^2 + 67*T1^5*T2^2 - 70*T1^6*T2^2 + 67*T1^7*T2^2 - 
      2*T1^8*T2^2 - 34*T1^9*T2^2 + 56*T1^10*T2^2 - 40*T1^11*T2^2 + 
      13*T1^12*T2^2 - 23*T2^3 + 50*T1*T2^3 - 34*T1^2*T2^3 - 34*T1^3*T2^3 + 
      64*T1^4*T2^3 - 122*T1^5*T2^3 + 16*T1^6*T2^3 + 16*T1^7*T2^3 - 
      122*T1^8*T2^3 + 64*T1^9*T2^3 - 34*T1^10*T2^3 - 34*T1^11*T2^3 + 
      50*T1^12*T2^3 - 23*T1^13*T2^3 + 32*T2^4 - 45*T1*T2^4 - 2*T1^2*T2^4 + 
      64*T1^3*T2^4 + 2*T1^4*T2^4 + 15*T1^5*T2^4 + 228*T1^6*T2^4 - 
      174*T1^7*T2^4 + 228*T1^8*T2^4 + 15*T1^9*T2^4 + 2*T1^10*T2^4 + 
      64*T1^11*T2^4 - 2*T1^12*T2^4 - 45*T1^13*T2^4 + 32*T1^14*T2^4 - 
      35*T2^5 + 15*T1*T2^5 + 67*T1^2*T2^5 - 122*T1^3*T2^5 + 15*T1^4*T2^5 - 
      116*T1^5*T2^5 - 192*T1^6*T2^5 - 44*T1^7*T2^5 - 44*T1^8*T2^5 - 
      192*T1^9*T2^5 - 116*T1^10*T2^5 + 15*T1^11*T2^5 - 122*T1^12*T2^5 + 
      67*T1^13*T2^5 + 15*T1^14*T2^5 - 35*T1^15*T2^5 + 32*T2^6 + 15*T1*T2^6 - 
      70*T1^2*T2^6 + 16*T1^3*T2^6 + 228*T1^4*T2^6 - 192*T1^5*T2^6 + 
      745*T1^6*T2^6 - 429*T1^7*T2^6 + 669*T1^8*T2^6 - 429*T1^9*T2^6 + 
      745*T1^10*T2^6 - 192*T1^11*T2^6 + 228*T1^12*T2^6 + 16*T1^13*T2^6 - 
      70*T1^14*T2^6 + 15*T1^15*T2^6 + 32*T1^16*T2^6 - 23*T2^7 - 45*T1*T2^7 + 
      67*T1^2*T2^7 + 16*T1^3*T2^7 - 174*T1^4*T2^7 - 44*T1^5*T2^7 - 
      429*T1^6*T2^7 - 212*T1^7*T2^7 - 115*T1^8*T2^7 - 115*T1^9*T2^7 - 
      212*T1^10*T2^7 - 429*T1^11*T2^7 - 44*T1^12*T2^7 - 174*T1^13*T2^7 + 
      16*T1^14*T2^7 + 67*T1^15*T2^7 - 45*T1^16*T2^7 - 23*T1^17*T2^7 + 
      13*T2^8 + 50*T1*T2^8 - 2*T1^2*T2^8 - 122*T1^3*T2^8 + 228*T1^4*T2^8 - 
      44*T1^5*T2^8 + 669*T1^6*T2^8 - 115*T1^7*T2^8 + 877*T1^8*T2^8 - 
      719*T1^9*T2^8 + 877*T1^10*T2^8 - 115*T1^11*T2^8 + 669*T1^12*T2^8 - 
      44*T1^13*T2^8 + 228*T1^14*T2^8 - 122*T1^15*T2^8 - 2*T1^16*T2^8 + 
      50*T1^17*T2^8 + 13*T1^18*T2^8 - 5*T2^9 - 40*T1*T2^9 - 34*T1^2*T2^9 + 
      64*T1^3*T2^9 + 15*T1^4*T2^9 - 192*T1^5*T2^9 - 429*T1^6*T2^9 - 
      115*T1^7*T2^9 - 719*T1^8*T2^9 + 108*T1^9*T2^9 + 108*T1^10*T2^9 - 
      719*T1^11*T2^9 - 115*T1^12*T2^9 - 429*T1^13*T2^9 - 192*T1^14*T2^9 + 
      15*T1^15*T2^9 + 64*T1^16*T2^9 - 34*T1^17*T2^9 - 40*T1^18*T2^9 - 
      5*T1^19*T2^9 + T2^10 + 20*T1*T2^10 + 56*T1^2*T2^10 - 34*T1^3*T2^10 + 
      2*T1^4*T2^10 - 116*T1^5*T2^10 + 745*T1^6*T2^10 - 212*T1^7*T2^10 + 
      877*T1^8*T2^10 + 108*T1^9*T2^10 - 96*T1^10*T2^10 + 108*T1^11*T2^10 + 
      877*T1^12*T2^10 - 212*T1^13*T2^10 + 745*T1^14*T2^10 - 116*T1^15*T2^10 + 
      2*T1^16*T2^10 - 34*T1^17*T2^10 + 56*T1^18*T2^10 + 20*T1^19*T2^10 + 
      T1^20*T2^10 - 5*T1*T2^11 - 40*T1^2*T2^11 - 34*T1^3*T2^11 + 
      64*T1^4*T2^11 + 15*T1^5*T2^11 - 192*T1^6*T2^11 - 429*T1^7*T2^11 - 
      115*T1^8*T2^11 - 719*T1^9*T2^11 + 108*T1^10*T2^11 + 108*T1^11*T2^11 - 
      719*T1^12*T2^11 - 115*T1^13*T2^11 - 429*T1^14*T2^11 - 192*T1^15*T2^11 + 
      15*T1^16*T2^11 + 64*T1^17*T2^11 - 34*T1^18*T2^11 - 40*T1^19*T2^11 - 
      5*T1^20*T2^11 + 13*T1^2*T2^12 + 50*T1^3*T2^12 - 2*T1^4*T2^12 - 
      122*T1^5*T2^12 + 228*T1^6*T2^12 - 44*T1^7*T2^12 + 669*T1^8*T2^12 - 
      115*T1^9*T2^12 + 877*T1^10*T2^12 - 719*T1^11*T2^12 + 877*T1^12*T2^12 - 
      115*T1^13*T2^12 + 669*T1^14*T2^12 - 44*T1^15*T2^12 + 228*T1^16*T2^12 - 
      122*T1^17*T2^12 - 2*T1^18*T2^12 + 50*T1^19*T2^12 + 13*T1^20*T2^12 - 
      23*T1^3*T2^13 - 45*T1^4*T2^13 + 67*T1^5*T2^13 + 16*T1^6*T2^13 - 
      174*T1^7*T2^13 - 44*T1^8*T2^13 - 429*T1^9*T2^13 - 212*T1^10*T2^13 - 
      115*T1^11*T2^13 - 115*T1^12*T2^13 - 212*T1^13*T2^13 - 429*T1^14*T2^13 - 
      44*T1^15*T2^13 - 174*T1^16*T2^13 + 16*T1^17*T2^13 + 67*T1^18*T2^13 - 
      45*T1^19*T2^13 - 23*T1^20*T2^13 + 32*T1^4*T2^14 + 15*T1^5*T2^14 - 
      70*T1^6*T2^14 + 16*T1^7*T2^14 + 228*T1^8*T2^14 - 192*T1^9*T2^14 + 
      745*T1^10*T2^14 - 429*T1^11*T2^14 + 669*T1^12*T2^14 - 429*T1^13*T2^14 + 
      745*T1^14*T2^14 - 192*T1^15*T2^14 + 228*T1^16*T2^14 + 16*T1^17*T2^14 - 
      70*T1^18*T2^14 + 15*T1^19*T2^14 + 32*T1^20*T2^14 - 35*T1^5*T2^15 + 
      15*T1^6*T2^15 + 67*T1^7*T2^15 - 122*T1^8*T2^15 + 15*T1^9*T2^15 - 
      116*T1^10*T2^15 - 192*T1^11*T2^15 - 44*T1^12*T2^15 - 44*T1^13*T2^15 - 
      192*T1^14*T2^15 - 116*T1^15*T2^15 + 15*T1^16*T2^15 - 122*T1^17*T2^15 + 
      67*T1^18*T2^15 + 15*T1^19*T2^15 - 35*T1^20*T2^15 + 32*T1^6*T2^16 - 
      45*T1^7*T2^16 - 2*T1^8*T2^16 + 64*T1^9*T2^16 + 2*T1^10*T2^16 + 
      15*T1^11*T2^16 + 228*T1^12*T2^16 - 174*T1^13*T2^16 + 228*T1^14*T2^16 + 
      15*T1^15*T2^16 + 2*T1^16*T2^16 + 64*T1^17*T2^16 - 2*T1^18*T2^16 - 
      45*T1^19*T2^16 + 32*T1^20*T2^16 - 23*T1^7*T2^17 + 50*T1^8*T2^17 - 
      34*T1^9*T2^17 - 34*T1^10*T2^17 + 64*T1^11*T2^17 - 122*T1^12*T2^17 + 
      16*T1^13*T2^17 + 16*T1^14*T2^17 - 122*T1^15*T2^17 + 64*T1^16*T2^17 - 
      34*T1^17*T2^17 - 34*T1^18*T2^17 + 50*T1^19*T2^17 - 23*T1^20*T2^17 + 
      13*T1^8*T2^18 - 40*T1^9*T2^18 + 56*T1^10*T2^18 - 34*T1^11*T2^18 - 
      2*T1^12*T2^18 + 67*T1^13*T2^18 - 70*T1^14*T2^18 + 67*T1^15*T2^18 - 
      2*T1^16*T2^18 - 34*T1^17*T2^18 + 56*T1^18*T2^18 - 40*T1^19*T2^18 + 
      13*T1^20*T2^18 - 5*T1^9*T2^19 + 20*T1^10*T2^19 - 40*T1^11*T2^19 + 
      50*T1^12*T2^19 - 45*T1^13*T2^19 + 15*T1^14*T2^19 + 15*T1^15*T2^19 - 
      45*T1^16*T2^19 + 50*T1^17*T2^19 - 40*T1^18*T2^19 + 20*T1^19*T2^19 - 
      5*T1^20*T2^19 + T1^10*T2^20 - 5*T1^11*T2^20 + 13*T1^12*T2^20 - 
      23*T1^13*T2^20 + 32*T1^14*T2^20 - 35*T1^15*T2^20 + 32*T1^16*T2^20 - 
      23*T1^17*T2^20 + 13*T1^18*T2^20 - 5*T1^19*T2^20 + T1^20*T2^20)/
     (T1^10*T2^10))}, 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, -((17 - 84*T1 + 233*T1^2 - 396*T1^3 + 469*T1^4 - 396*T1^5 + 
      233*T1^6 - 84*T1^7 + 17*T1^8 - 84*T2 + 332*T1*T2 - 739*T1^2*T2 + 
      809*T1^3*T2 - 362*T1^4*T2 - 362*T1^5*T2 + 809*T1^6*T2 - 739*T1^7*T2 + 
      332*T1^8*T2 - 84*T1^9*T2 + 233*T2^2 - 739*T1*T2^2 + 1355*T1^2*T2^2 - 
      781*T1^3*T2^2 - 304*T1^4*T2^2 + 919*T1^5*T2^2 - 304*T1^6*T2^2 - 
      781*T1^7*T2^2 + 1355*T1^8*T2^2 - 739*T1^9*T2^2 + 233*T1^10*T2^2 - 
      396*T2^3 + 809*T1*T2^3 - 781*T1^2*T2^3 - 1606*T1^3*T2^3 + 
      2626*T1^4*T2^3 - 1401*T1^5*T2^3 - 1401*T1^6*T2^3 + 2626*T1^7*T2^3 - 
      1606*T1^8*T2^3 - 781*T1^9*T2^3 + 809*T1^10*T2^3 - 396*T1^11*T2^3 + 
      469*T2^4 - 362*T1*T2^4 - 304*T1^2*T2^4 + 2626*T1^3*T2^4 + 
      1218*T1^4*T2^4 - 6887*T1^5*T2^4 + 10170*T1^6*T2^4 - 6887*T1^7*T2^4 + 
      1218*T1^8*T2^4 + 2626*T1^9*T2^4 - 304*T1^10*T2^4 - 362*T1^11*T2^4 + 
      469*T1^12*T2^4 - 396*T2^5 - 362*T1*T2^5 + 919*T1^2*T2^5 - 
      1401*T1^3*T2^5 - 6887*T1^4*T2^5 + 9744*T1^5*T2^5 - 5157*T1^6*T2^5 - 
      5157*T1^7*T2^5 + 9744*T1^8*T2^5 - 6887*T1^9*T2^5 - 1401*T1^10*T2^5 + 
      919*T1^11*T2^5 - 362*T1^12*T2^5 - 396*T1^13*T2^5 + 233*T2^6 + 
      809*T1*T2^6 - 304*T1^2*T2^6 - 1401*T1^3*T2^6 + 10170*T1^4*T2^6 - 
      5157*T1^5*T2^6 - 3958*T1^6*T2^6 + 10208*T1^7*T2^6 - 3958*T1^8*T2^6 - 
      5157*T1^9*T2^6 + 10170*T1^10*T2^6 - 1401*T1^11*T2^6 - 304*T1^12*T2^6 + 
      809*T1^13*T2^6 + 233*T1^14*T2^6 - 84*T2^7 - 739*T1*T2^7 - 
      781*T1^2*T2^7 + 2626*T1^3*T2^7 - 6887*T1^4*T2^7 - 5157*T1^5*T2^7 + 
      10208*T1^6*T2^7 - 6270*T1^7*T2^7 - 6270*T1^8*T2^7 + 10208*T1^9*T2^7 - 
      5157*T1^10*T2^7 - 6887*T1^11*T2^7 + 2626*T1^12*T2^7 - 781*T1^13*T2^7 - 
      739*T1^14*T2^7 - 84*T1^15*T2^7 + 17*T2^8 + 332*T1*T2^8 + 
      1355*T1^2*T2^8 - 1606*T1^3*T2^8 + 1218*T1^4*T2^8 + 9744*T1^5*T2^8 - 
      3958*T1^6*T2^8 - 6270*T1^7*T2^8 + 13728*T1^8*T2^8 - 6270*T1^9*T2^8 - 
      3958*T1^10*T2^8 + 9744*T1^11*T2^8 + 1218*T1^12*T2^8 - 1606*T1^13*T2^8 + 
      1355*T1^14*T2^8 + 332*T1^15*T2^8 + 17*T1^16*T2^8 - 84*T1*T2^9 - 
      739*T1^2*T2^9 - 781*T1^3*T2^9 + 2626*T1^4*T2^9 - 6887*T1^5*T2^9 - 
      5157*T1^6*T2^9 + 10208*T1^7*T2^9 - 6270*T1^8*T2^9 - 6270*T1^9*T2^9 + 
      10208*T1^10*T2^9 - 5157*T1^11*T2^9 - 6887*T1^12*T2^9 + 
      2626*T1^13*T2^9 - 781*T1^14*T2^9 - 739*T1^15*T2^9 - 84*T1^16*T2^9 + 
      233*T1^2*T2^10 + 809*T1^3*T2^10 - 304*T1^4*T2^10 - 1401*T1^5*T2^10 + 
      10170*T1^6*T2^10 - 5157*T1^7*T2^10 - 3958*T1^8*T2^10 + 
      10208*T1^9*T2^10 - 3958*T1^10*T2^10 - 5157*T1^11*T2^10 + 
      10170*T1^12*T2^10 - 1401*T1^13*T2^10 - 304*T1^14*T2^10 + 
      809*T1^15*T2^10 + 233*T1^16*T2^10 - 396*T1^3*T2^11 - 362*T1^4*T2^11 + 
      919*T1^5*T2^11 - 1401*T1^6*T2^11 - 6887*T1^7*T2^11 + 9744*T1^8*T2^11 - 
      5157*T1^9*T2^11 - 5157*T1^10*T2^11 + 9744*T1^11*T2^11 - 
      6887*T1^12*T2^11 - 1401*T1^13*T2^11 + 919*T1^14*T2^11 - 
      362*T1^15*T2^11 - 396*T1^16*T2^11 + 469*T1^4*T2^12 - 362*T1^5*T2^12 - 
      304*T1^6*T2^12 + 2626*T1^7*T2^12 + 1218*T1^8*T2^12 - 6887*T1^9*T2^12 + 
      10170*T1^10*T2^12 - 6887*T1^11*T2^12 + 1218*T1^12*T2^12 + 
      2626*T1^13*T2^12 - 304*T1^14*T2^12 - 362*T1^15*T2^12 + 
      469*T1^16*T2^12 - 396*T1^5*T2^13 + 809*T1^6*T2^13 - 781*T1^7*T2^13 - 
      1606*T1^8*T2^13 + 2626*T1^9*T2^13 - 1401*T1^10*T2^13 - 
      1401*T1^11*T2^13 + 2626*T1^12*T2^13 - 1606*T1^13*T2^13 - 
      781*T1^14*T2^13 + 809*T1^15*T2^13 - 396*T1^16*T2^13 + 233*T1^6*T2^14 - 
      739*T1^7*T2^14 + 1355*T1^8*T2^14 - 781*T1^9*T2^14 - 304*T1^10*T2^14 + 
      919*T1^11*T2^14 - 304*T1^12*T2^14 - 781*T1^13*T2^14 + 
      1355*T1^14*T2^14 - 739*T1^15*T2^14 + 233*T1^16*T2^14 - 84*T1^7*T2^15 + 
      332*T1^8*T2^15 - 739*T1^9*T2^15 + 809*T1^10*T2^15 - 362*T1^11*T2^15 - 
      362*T1^12*T2^15 + 809*T1^13*T2^15 - 739*T1^14*T2^15 + 332*T1^15*T2^15 - 
      84*T1^16*T2^15 + 17*T1^8*T2^16 - 84*T1^9*T2^16 + 233*T1^10*T2^16 - 
      396*T1^11*T2^16 + 469*T1^12*T2^16 - 396*T1^13*T2^16 + 233*T1^14*T2^16 - 
      84*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 1004] -> 
  {((2 - 3*T + 2*T^2)*(4 - 9*T + 11*T^2 - 9*T^3 + 4*T^4))/T^3, 
   (1624 - 5938*T1 + 11117*T1^2 - 13376*T1^3 + 11117*T1^4 - 5938*T1^5 + 
     1624*T1^6 - 5938*T2 + 15918*T1*T2 - 19239*T1^2*T2 + 8437*T1^3*T2 + 
     8437*T1^4*T2 - 19239*T1^5*T2 + 15918*T1^6*T2 - 5938*T1^7*T2 + 
     11117*T2^2 - 19239*T1*T2^2 + 7235*T1^2*T2^2 + 19422*T1^3*T2^2 - 
     31165*T1^4*T2^2 + 19422*T1^5*T2^2 + 7235*T1^6*T2^2 - 19239*T1^7*T2^2 + 
     11117*T1^8*T2^2 - 13376*T2^3 + 8437*T1*T2^3 + 19422*T1^2*T2^3 - 
     39144*T1^3*T2^3 + 17614*T1^4*T2^3 + 17614*T1^5*T2^3 - 39144*T1^6*T2^3 + 
     19422*T1^7*T2^3 + 8437*T1^8*T2^3 - 13376*T1^9*T2^3 + 11117*T2^4 + 
     8437*T1*T2^4 - 31165*T1^2*T2^4 + 17614*T1^3*T2^4 + 31835*T1^4*T2^4 - 
     50741*T1^5*T2^4 + 31835*T1^6*T2^4 + 17614*T1^7*T2^4 - 31165*T1^8*T2^4 + 
     8437*T1^9*T2^4 + 11117*T1^10*T2^4 - 5938*T2^5 - 19239*T1*T2^5 + 
     19422*T1^2*T2^5 + 17614*T1^3*T2^5 - 50741*T1^4*T2^5 + 21628*T1^5*T2^5 + 
     21628*T1^6*T2^5 - 50741*T1^7*T2^5 + 17614*T1^8*T2^5 + 19422*T1^9*T2^5 - 
     19239*T1^10*T2^5 - 5938*T1^11*T2^5 + 1624*T2^6 + 15918*T1*T2^6 + 
     7235*T1^2*T2^6 - 39144*T1^3*T2^6 + 31835*T1^4*T2^6 + 21628*T1^5*T2^6 - 
     39840*T1^6*T2^6 + 21628*T1^7*T2^6 + 31835*T1^8*T2^6 - 39144*T1^9*T2^6 + 
     7235*T1^10*T2^6 + 15918*T1^11*T2^6 + 1624*T1^12*T2^6 - 5938*T1*T2^7 - 
     19239*T1^2*T2^7 + 19422*T1^3*T2^7 + 17614*T1^4*T2^7 - 50741*T1^5*T2^7 + 
     21628*T1^6*T2^7 + 21628*T1^7*T2^7 - 50741*T1^8*T2^7 + 17614*T1^9*T2^7 + 
     19422*T1^10*T2^7 - 19239*T1^11*T2^7 - 5938*T1^12*T2^7 + 
     11117*T1^2*T2^8 + 8437*T1^3*T2^8 - 31165*T1^4*T2^8 + 17614*T1^5*T2^8 + 
     31835*T1^6*T2^8 - 50741*T1^7*T2^8 + 31835*T1^8*T2^8 + 17614*T1^9*T2^8 - 
     31165*T1^10*T2^8 + 8437*T1^11*T2^8 + 11117*T1^12*T2^8 - 
     13376*T1^3*T2^9 + 8437*T1^4*T2^9 + 19422*T1^5*T2^9 - 39144*T1^6*T2^9 + 
     17614*T1^7*T2^9 + 17614*T1^8*T2^9 - 39144*T1^9*T2^9 + 19422*T1^10*T2^9 + 
     8437*T1^11*T2^9 - 13376*T1^12*T2^9 + 11117*T1^4*T2^10 - 
     19239*T1^5*T2^10 + 7235*T1^6*T2^10 + 19422*T1^7*T2^10 - 
     31165*T1^8*T2^10 + 19422*T1^9*T2^10 + 7235*T1^10*T2^10 - 
     19239*T1^11*T2^10 + 11117*T1^12*T2^10 - 5938*T1^5*T2^11 + 
     15918*T1^6*T2^11 - 19239*T1^7*T2^11 + 8437*T1^8*T2^11 + 
     8437*T1^9*T2^11 - 19239*T1^10*T2^11 + 15918*T1^11*T2^11 - 
     5938*T1^12*T2^11 + 1624*T1^6*T2^12 - 5938*T1^7*T2^12 + 
     11117*T1^8*T2^12 - 13376*T1^9*T2^12 + 11117*T1^10*T2^12 - 
     5938*T1^11*T2^12 + 1624*T1^12*T2^12)/(T1^6*T2^6)}, 
 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, -((1 - 5*T1 + 12*T1^2 - 19*T1^3 + 23*T1^4 - 19*T1^5 + 12*T1^6 - 
      5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 35*T1^2*T2 + 35*T1^3*T2 - 
      20*T1^4*T2 - 20*T1^5*T2 + 35*T1^6*T2 - 35*T1^7*T2 + 20*T1^8*T2 - 
      5*T1^9*T2 + 12*T2^2 - 35*T1*T2^2 + 31*T1^2*T2^2 + 5*T1^3*T2^2 - 
      24*T1^4*T2^2 + 75*T1^5*T2^2 - 24*T1^6*T2^2 + 5*T1^7*T2^2 + 
      31*T1^8*T2^2 - 35*T1^9*T2^2 + 12*T1^10*T2^2 - 19*T2^3 + 35*T1*T2^3 + 
      5*T1^2*T2^3 - 16*T1^3*T2^3 - 78*T1^4*T2^3 - 27*T1^5*T2^3 - 
      27*T1^6*T2^3 - 78*T1^7*T2^3 - 16*T1^8*T2^3 + 5*T1^9*T2^3 + 
      35*T1^10*T2^3 - 19*T1^11*T2^3 + 23*T2^4 - 20*T1*T2^4 - 24*T1^2*T2^4 - 
      78*T1^3*T2^4 + 163*T1^4*T2^4 + 443*T1^5*T2^4 - 421*T1^6*T2^4 + 
      443*T1^7*T2^4 + 163*T1^8*T2^4 - 78*T1^9*T2^4 - 24*T1^10*T2^4 - 
      20*T1^11*T2^4 + 23*T1^12*T2^4 - 19*T2^5 - 20*T1*T2^5 + 75*T1^2*T2^5 - 
      27*T1^3*T2^5 + 443*T1^4*T2^5 - 1576*T1^5*T2^5 + 427*T1^6*T2^5 + 
      427*T1^7*T2^5 - 1576*T1^8*T2^5 + 443*T1^9*T2^5 - 27*T1^10*T2^5 + 
      75*T1^11*T2^5 - 20*T1^12*T2^5 - 19*T1^13*T2^5 + 12*T2^6 + 35*T1*T2^6 - 
      24*T1^2*T2^6 - 27*T1^3*T2^6 - 421*T1^4*T2^6 + 427*T1^5*T2^6 + 
      2956*T1^6*T2^6 - 3348*T1^7*T2^6 + 2956*T1^8*T2^6 + 427*T1^9*T2^6 - 
      421*T1^10*T2^6 - 27*T1^11*T2^6 - 24*T1^12*T2^6 + 35*T1^13*T2^6 + 
      12*T1^14*T2^6 - 5*T2^7 - 35*T1*T2^7 + 5*T1^2*T2^7 - 78*T1^3*T2^7 + 
      443*T1^4*T2^7 + 427*T1^5*T2^7 - 3348*T1^6*T2^7 + 742*T1^7*T2^7 + 
      742*T1^8*T2^7 - 3348*T1^9*T2^7 + 427*T1^10*T2^7 + 443*T1^11*T2^7 - 
      78*T1^12*T2^7 + 5*T1^13*T2^7 - 35*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 
      20*T1*T2^8 + 31*T1^2*T2^8 - 16*T1^3*T2^8 + 163*T1^4*T2^8 - 
      1576*T1^5*T2^8 + 2956*T1^6*T2^8 + 742*T1^7*T2^8 - 468*T1^8*T2^8 + 
      742*T1^9*T2^8 + 2956*T1^10*T2^8 - 1576*T1^11*T2^8 + 163*T1^12*T2^8 - 
      16*T1^13*T2^8 + 31*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 
      5*T1*T2^9 - 35*T1^2*T2^9 + 5*T1^3*T2^9 - 78*T1^4*T2^9 + 443*T1^5*T2^9 + 
      427*T1^6*T2^9 - 3348*T1^7*T2^9 + 742*T1^8*T2^9 + 742*T1^9*T2^9 - 
      3348*T1^10*T2^9 + 427*T1^11*T2^9 + 443*T1^12*T2^9 - 78*T1^13*T2^9 + 
      5*T1^14*T2^9 - 35*T1^15*T2^9 - 5*T1^16*T2^9 + 12*T1^2*T2^10 + 
      35*T1^3*T2^10 - 24*T1^4*T2^10 - 27*T1^5*T2^10 - 421*T1^6*T2^10 + 
      427*T1^7*T2^10 + 2956*T1^8*T2^10 - 3348*T1^9*T2^10 + 2956*T1^10*T2^10 + 
      427*T1^11*T2^10 - 421*T1^12*T2^10 - 27*T1^13*T2^10 - 24*T1^14*T2^10 + 
      35*T1^15*T2^10 + 12*T1^16*T2^10 - 19*T1^3*T2^11 - 20*T1^4*T2^11 + 
      75*T1^5*T2^11 - 27*T1^6*T2^11 + 443*T1^7*T2^11 - 1576*T1^8*T2^11 + 
      427*T1^9*T2^11 + 427*T1^10*T2^11 - 1576*T1^11*T2^11 + 443*T1^12*T2^11 - 
      27*T1^13*T2^11 + 75*T1^14*T2^11 - 20*T1^15*T2^11 - 19*T1^16*T2^11 + 
      23*T1^4*T2^12 - 20*T1^5*T2^12 - 24*T1^6*T2^12 - 78*T1^7*T2^12 + 
      163*T1^8*T2^12 + 443*T1^9*T2^12 - 421*T1^10*T2^12 + 443*T1^11*T2^12 + 
      163*T1^12*T2^12 - 78*T1^13*T2^12 - 24*T1^14*T2^12 - 20*T1^15*T2^12 + 
      23*T1^16*T2^12 - 19*T1^5*T2^13 + 35*T1^6*T2^13 + 5*T1^7*T2^13 - 
      16*T1^8*T2^13 - 78*T1^9*T2^13 - 27*T1^10*T2^13 - 27*T1^11*T2^13 - 
      78*T1^12*T2^13 - 16*T1^13*T2^13 + 5*T1^14*T2^13 + 35*T1^15*T2^13 - 
      19*T1^16*T2^13 + 12*T1^6*T2^14 - 35*T1^7*T2^14 + 31*T1^8*T2^14 + 
      5*T1^9*T2^14 - 24*T1^10*T2^14 + 75*T1^11*T2^14 - 24*T1^12*T2^14 + 
      5*T1^13*T2^14 + 31*T1^14*T2^14 - 35*T1^15*T2^14 + 12*T1^16*T2^14 - 
      5*T1^7*T2^15 + 20*T1^8*T2^15 - 35*T1^9*T2^15 + 35*T1^10*T2^15 - 
      20*T1^11*T2^15 - 20*T1^12*T2^15 + 35*T1^13*T2^15 - 35*T1^14*T2^15 + 
      20*T1^15*T2^15 - 5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 
      12*T1^10*T2^16 - 19*T1^11*T2^16 + 23*T1^12*T2^16 - 19*T1^13*T2^16 + 
      12*T1^14*T2^16 - 5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, -((1 - 5*T1 + 12*T1^2 - 19*T1^3 + 23*T1^4 - 19*T1^5 + 12*T1^6 - 
      5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 35*T1^2*T2 + 35*T1^3*T2 - 
      20*T1^4*T2 - 20*T1^5*T2 + 35*T1^6*T2 - 35*T1^7*T2 + 20*T1^8*T2 - 
      5*T1^9*T2 + 12*T2^2 - 35*T1*T2^2 + 33*T1^2*T2^2 + 3*T1^3*T2^2 - 
      28*T1^4*T2^2 + 81*T1^5*T2^2 - 28*T1^6*T2^2 + 3*T1^7*T2^2 + 
      33*T1^8*T2^2 - 35*T1^9*T2^2 + 12*T1^10*T2^2 - 19*T2^3 + 35*T1*T2^3 + 
      3*T1^2*T2^3 - 46*T1^3*T2^3 - T1^4*T2^3 - 59*T1^5*T2^3 - 59*T1^6*T2^3 - 
      T1^7*T2^3 - 46*T1^8*T2^3 + 3*T1^9*T2^3 + 35*T1^10*T2^3 - 
      19*T1^11*T2^3 + 23*T2^4 - 20*T1*T2^4 - 28*T1^2*T2^4 - T1^3*T2^4 + 
      162*T1^4*T2^4 + 12*T1^5*T2^4 + 156*T1^6*T2^4 + 12*T1^7*T2^4 + 
      162*T1^8*T2^4 - T1^9*T2^4 - 28*T1^10*T2^4 - 20*T1^11*T2^4 + 
      23*T1^12*T2^4 - 19*T2^5 - 20*T1*T2^5 + 81*T1^2*T2^5 - 59*T1^3*T2^5 + 
      12*T1^4*T2^5 - 446*T1^5*T2^5 - 19*T1^6*T2^5 - 19*T1^7*T2^5 - 
      446*T1^8*T2^5 + 12*T1^9*T2^5 - 59*T1^10*T2^5 + 81*T1^11*T2^5 - 
      20*T1^12*T2^5 - 19*T1^13*T2^5 + 12*T2^6 + 35*T1*T2^6 - 28*T1^2*T2^6 - 
      59*T1^3*T2^6 + 156*T1^4*T2^6 - 19*T1^5*T2^6 + 1207*T1^6*T2^6 - 
      1027*T1^7*T2^6 + 1207*T1^8*T2^6 - 19*T1^9*T2^6 + 156*T1^10*T2^6 - 
      59*T1^11*T2^6 - 28*T1^12*T2^6 + 35*T1^13*T2^6 + 12*T1^14*T2^6 - 
      5*T2^7 - 35*T1*T2^7 + 3*T1^2*T2^7 - T1^3*T2^7 + 12*T1^4*T2^7 - 
      19*T1^5*T2^7 - 1027*T1^6*T2^7 - 6*T1^7*T2^7 - 6*T1^8*T2^7 - 
      1027*T1^9*T2^7 - 19*T1^10*T2^7 + 12*T1^11*T2^7 - T1^12*T2^7 + 
      3*T1^13*T2^7 - 35*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 
      33*T1^2*T2^8 - 46*T1^3*T2^8 + 162*T1^4*T2^8 - 446*T1^5*T2^8 + 
      1207*T1^6*T2^8 - 6*T1^7*T2^8 + 540*T1^8*T2^8 - 6*T1^9*T2^8 + 
      1207*T1^10*T2^8 - 446*T1^11*T2^8 + 162*T1^12*T2^8 - 46*T1^13*T2^8 + 
      33*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 35*T1^2*T2^9 + 
      3*T1^3*T2^9 - T1^4*T2^9 + 12*T1^5*T2^9 - 19*T1^6*T2^9 - 
      1027*T1^7*T2^9 - 6*T1^8*T2^9 - 6*T1^9*T2^9 - 1027*T1^10*T2^9 - 
      19*T1^11*T2^9 + 12*T1^12*T2^9 - T1^13*T2^9 + 3*T1^14*T2^9 - 
      35*T1^15*T2^9 - 5*T1^16*T2^9 + 12*T1^2*T2^10 + 35*T1^3*T2^10 - 
      28*T1^4*T2^10 - 59*T1^5*T2^10 + 156*T1^6*T2^10 - 19*T1^7*T2^10 + 
      1207*T1^8*T2^10 - 1027*T1^9*T2^10 + 1207*T1^10*T2^10 - 19*T1^11*T2^10 + 
      156*T1^12*T2^10 - 59*T1^13*T2^10 - 28*T1^14*T2^10 + 35*T1^15*T2^10 + 
      12*T1^16*T2^10 - 19*T1^3*T2^11 - 20*T1^4*T2^11 + 81*T1^5*T2^11 - 
      59*T1^6*T2^11 + 12*T1^7*T2^11 - 446*T1^8*T2^11 - 19*T1^9*T2^11 - 
      19*T1^10*T2^11 - 446*T1^11*T2^11 + 12*T1^12*T2^11 - 59*T1^13*T2^11 + 
      81*T1^14*T2^11 - 20*T1^15*T2^11 - 19*T1^16*T2^11 + 23*T1^4*T2^12 - 
      20*T1^5*T2^12 - 28*T1^6*T2^12 - T1^7*T2^12 + 162*T1^8*T2^12 + 
      12*T1^9*T2^12 + 156*T1^10*T2^12 + 12*T1^11*T2^12 + 162*T1^12*T2^12 - 
      T1^13*T2^12 - 28*T1^14*T2^12 - 20*T1^15*T2^12 + 23*T1^16*T2^12 - 
      19*T1^5*T2^13 + 35*T1^6*T2^13 + 3*T1^7*T2^13 - 46*T1^8*T2^13 - 
      T1^9*T2^13 - 59*T1^10*T2^13 - 59*T1^11*T2^13 - T1^12*T2^13 - 
      46*T1^13*T2^13 + 3*T1^14*T2^13 + 35*T1^15*T2^13 - 19*T1^16*T2^13 + 
      12*T1^6*T2^14 - 35*T1^7*T2^14 + 33*T1^8*T2^14 + 3*T1^9*T2^14 - 
      28*T1^10*T2^14 + 81*T1^11*T2^14 - 28*T1^12*T2^14 + 3*T1^13*T2^14 + 
      33*T1^14*T2^14 - 35*T1^15*T2^14 + 12*T1^16*T2^14 - 5*T1^7*T2^15 + 
      20*T1^8*T2^15 - 35*T1^9*T2^15 + 35*T1^10*T2^15 - 20*T1^11*T2^15 - 
      20*T1^12*T2^15 + 35*T1^13*T2^15 - 35*T1^14*T2^15 + 20*T1^15*T2^15 - 
      5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 12*T1^10*T2^16 - 
      19*T1^11*T2^16 + 23*T1^12*T2^16 - 19*T1^13*T2^16 + 12*T1^14*T2^16 - 
      5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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), (7 - 32*T1 + 68*T1^2 - 96*T1^3 + 103*T1^4 - 96*T1^5 + 68*T1^6 - 
     32*T1^7 + 7*T1^8 - 32*T2 + 114*T1*T2 - 164*T1^2*T2 + 128*T1^3*T2 - 
     32*T1^4*T2 - 32*T1^5*T2 + 128*T1^6*T2 - 164*T1^7*T2 + 114*T1^8*T2 - 
     32*T1^9*T2 + 68*T2^2 - 164*T1*T2^2 + 55*T1^2*T2^2 + 202*T1^3*T2^2 - 
     412*T1^4*T2^2 + 379*T1^5*T2^2 - 412*T1^6*T2^2 + 202*T1^7*T2^2 + 
     55*T1^8*T2^2 - 164*T1^9*T2^2 + 68*T1^10*T2^2 - 96*T2^3 + 128*T1*T2^3 + 
     202*T1^2*T2^3 - 486*T1^3*T2^3 + 461*T1^4*T2^3 - 42*T1^5*T2^3 - 
     42*T1^6*T2^3 + 461*T1^7*T2^3 - 486*T1^8*T2^3 + 202*T1^9*T2^3 + 
     128*T1^10*T2^3 - 96*T1^11*T2^3 + 103*T2^4 - 32*T1*T2^4 - 412*T1^2*T2^4 + 
     461*T1^3*T2^4 - 125*T1^4*T2^4 - 421*T1^5*T2^4 + 231*T1^6*T2^4 - 
     421*T1^7*T2^4 - 125*T1^8*T2^4 + 461*T1^9*T2^4 - 412*T1^10*T2^4 - 
     32*T1^11*T2^4 + 103*T1^12*T2^4 - 96*T2^5 - 32*T1*T2^5 + 379*T1^2*T2^5 - 
     42*T1^3*T2^5 - 421*T1^4*T2^5 + 692*T1^5*T2^5 - 60*T1^6*T2^5 - 
     60*T1^7*T2^5 + 692*T1^8*T2^5 - 421*T1^9*T2^5 - 42*T1^10*T2^5 + 
     379*T1^11*T2^5 - 32*T1^12*T2^5 - 96*T1^13*T2^5 + 68*T2^6 + 128*T1*T2^6 - 
     412*T1^2*T2^6 - 42*T1^3*T2^6 + 231*T1^4*T2^6 - 60*T1^5*T2^6 - 
     740*T1^6*T2^6 + 772*T1^7*T2^6 - 740*T1^8*T2^6 - 60*T1^9*T2^6 + 
     231*T1^10*T2^6 - 42*T1^11*T2^6 - 412*T1^12*T2^6 + 128*T1^13*T2^6 + 
     68*T1^14*T2^6 - 32*T2^7 - 164*T1*T2^7 + 202*T1^2*T2^7 + 461*T1^3*T2^7 - 
     421*T1^4*T2^7 - 60*T1^5*T2^7 + 772*T1^6*T2^7 - 358*T1^7*T2^7 - 
     358*T1^8*T2^7 + 772*T1^9*T2^7 - 60*T1^10*T2^7 - 421*T1^11*T2^7 + 
     461*T1^12*T2^7 + 202*T1^13*T2^7 - 164*T1^14*T2^7 - 32*T1^15*T2^7 + 
     7*T2^8 + 114*T1*T2^8 + 55*T1^2*T2^8 - 486*T1^3*T2^8 - 125*T1^4*T2^8 + 
     692*T1^5*T2^8 - 740*T1^6*T2^8 - 358*T1^7*T2^8 + 936*T1^8*T2^8 - 
     358*T1^9*T2^8 - 740*T1^10*T2^8 + 692*T1^11*T2^8 - 125*T1^12*T2^8 - 
     486*T1^13*T2^8 + 55*T1^14*T2^8 + 114*T1^15*T2^8 + 7*T1^16*T2^8 - 
     32*T1*T2^9 - 164*T1^2*T2^9 + 202*T1^3*T2^9 + 461*T1^4*T2^9 - 
     421*T1^5*T2^9 - 60*T1^6*T2^9 + 772*T1^7*T2^9 - 358*T1^8*T2^9 - 
     358*T1^9*T2^9 + 772*T1^10*T2^9 - 60*T1^11*T2^9 - 421*T1^12*T2^9 + 
     461*T1^13*T2^9 + 202*T1^14*T2^9 - 164*T1^15*T2^9 - 32*T1^16*T2^9 + 
     68*T1^2*T2^10 + 128*T1^3*T2^10 - 412*T1^4*T2^10 - 42*T1^5*T2^10 + 
     231*T1^6*T2^10 - 60*T1^7*T2^10 - 740*T1^8*T2^10 + 772*T1^9*T2^10 - 
     740*T1^10*T2^10 - 60*T1^11*T2^10 + 231*T1^12*T2^10 - 42*T1^13*T2^10 - 
     412*T1^14*T2^10 + 128*T1^15*T2^10 + 68*T1^16*T2^10 - 96*T1^3*T2^11 - 
     32*T1^4*T2^11 + 379*T1^5*T2^11 - 42*T1^6*T2^11 - 421*T1^7*T2^11 + 
     692*T1^8*T2^11 - 60*T1^9*T2^11 - 60*T1^10*T2^11 + 692*T1^11*T2^11 - 
     421*T1^12*T2^11 - 42*T1^13*T2^11 + 379*T1^14*T2^11 - 32*T1^15*T2^11 - 
     96*T1^16*T2^11 + 103*T1^4*T2^12 - 32*T1^5*T2^12 - 412*T1^6*T2^12 + 
     461*T1^7*T2^12 - 125*T1^8*T2^12 - 421*T1^9*T2^12 + 231*T1^10*T2^12 - 
     421*T1^11*T2^12 - 125*T1^12*T2^12 + 461*T1^13*T2^12 - 412*T1^14*T2^12 - 
     32*T1^15*T2^12 + 103*T1^16*T2^12 - 96*T1^5*T2^13 + 128*T1^6*T2^13 + 
     202*T1^7*T2^13 - 486*T1^8*T2^13 + 461*T1^9*T2^13 - 42*T1^10*T2^13 - 
     42*T1^11*T2^13 + 461*T1^12*T2^13 - 486*T1^13*T2^13 + 202*T1^14*T2^13 + 
     128*T1^15*T2^13 - 96*T1^16*T2^13 + 68*T1^6*T2^14 - 164*T1^7*T2^14 + 
     55*T1^8*T2^14 + 202*T1^9*T2^14 - 412*T1^10*T2^14 + 379*T1^11*T2^14 - 
     412*T1^12*T2^14 + 202*T1^13*T2^14 + 55*T1^14*T2^14 - 164*T1^15*T2^14 + 
     68*T1^16*T2^14 - 32*T1^7*T2^15 + 114*T1^8*T2^15 - 164*T1^9*T2^15 + 
     128*T1^10*T2^15 - 32*T1^11*T2^15 - 32*T1^12*T2^15 + 128*T1^13*T2^15 - 
     164*T1^14*T2^15 + 114*T1^15*T2^15 - 32*T1^16*T2^15 + 7*T1^8*T2^16 - 
     32*T1^9*T2^16 + 68*T1^10*T2^16 - 96*T1^11*T2^16 + 103*T1^12*T2^16 - 
     96*T1^13*T2^16 + 68*T1^14*T2^16 - 32*T1^15*T2^16 + 7*T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 1008] -> 
  {-((4 - 20*T + 45*T^2 - 59*T^3 + 45*T^4 - 20*T^5 + 4*T^6)/T^3), 0}, 
 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, (17 - 76*T1 + 160*T1^2 - 210*T1^3 + 227*T1^4 - 210*T1^5 + 160*T1^6 - 
     76*T1^7 + 17*T1^8 - 76*T2 + 264*T1*T2 - 376*T1^2*T2 + 224*T1^3*T2 - 
     76*T1^4*T2 - 76*T1^5*T2 + 224*T1^6*T2 - 376*T1^7*T2 + 264*T1^8*T2 - 
     76*T1^9*T2 + 160*T2^2 - 376*T1*T2^2 + 136*T1^2*T2^2 + 553*T1^3*T2^2 - 
     651*T1^4*T2^2 + 696*T1^5*T2^2 - 651*T1^6*T2^2 + 553*T1^7*T2^2 + 
     136*T1^8*T2^2 - 376*T1^9*T2^2 + 160*T1^10*T2^2 - 210*T2^3 + 
     224*T1*T2^3 + 553*T1^2*T2^3 - 1294*T1^3*T2^3 + 437*T1^4*T2^3 - 
     166*T1^5*T2^3 - 166*T1^6*T2^3 + 437*T1^7*T2^3 - 1294*T1^8*T2^3 + 
     553*T1^9*T2^3 + 224*T1^10*T2^3 - 210*T1^11*T2^3 + 227*T2^4 - 
     76*T1*T2^4 - 651*T1^2*T2^4 + 437*T1^3*T2^4 + 1538*T1^4*T2^4 - 
     1350*T1^5*T2^4 + 1516*T1^6*T2^4 - 1350*T1^7*T2^4 + 1538*T1^8*T2^4 + 
     437*T1^9*T2^4 - 651*T1^10*T2^4 - 76*T1^11*T2^4 + 227*T1^12*T2^4 - 
     210*T2^5 - 76*T1*T2^5 + 696*T1^2*T2^5 - 166*T1^3*T2^5 - 1350*T1^4*T2^5 - 
     94*T1^5*T2^5 - 150*T1^6*T2^5 - 150*T1^7*T2^5 - 94*T1^8*T2^5 - 
     1350*T1^9*T2^5 - 166*T1^10*T2^5 + 696*T1^11*T2^5 - 76*T1^12*T2^5 - 
     210*T1^13*T2^5 + 160*T2^6 + 224*T1*T2^6 - 651*T1^2*T2^6 - 
     166*T1^3*T2^6 + 1516*T1^4*T2^6 - 150*T1^5*T2^6 + 1286*T1^6*T2^6 - 
     954*T1^7*T2^6 + 1286*T1^8*T2^6 - 150*T1^9*T2^6 + 1516*T1^10*T2^6 - 
     166*T1^11*T2^6 - 651*T1^12*T2^6 + 224*T1^13*T2^6 + 160*T1^14*T2^6 - 
     76*T2^7 - 376*T1*T2^7 + 553*T1^2*T2^7 + 437*T1^3*T2^7 - 1350*T1^4*T2^7 - 
     150*T1^5*T2^7 - 954*T1^6*T2^7 - 74*T1^7*T2^7 - 74*T1^8*T2^7 - 
     954*T1^9*T2^7 - 150*T1^10*T2^7 - 1350*T1^11*T2^7 + 437*T1^12*T2^7 + 
     553*T1^13*T2^7 - 376*T1^14*T2^7 - 76*T1^15*T2^7 + 17*T2^8 + 
     264*T1*T2^8 + 136*T1^2*T2^8 - 1294*T1^3*T2^8 + 1538*T1^4*T2^8 - 
     94*T1^5*T2^8 + 1286*T1^6*T2^8 - 74*T1^7*T2^8 + 588*T1^8*T2^8 - 
     74*T1^9*T2^8 + 1286*T1^10*T2^8 - 94*T1^11*T2^8 + 1538*T1^12*T2^8 - 
     1294*T1^13*T2^8 + 136*T1^14*T2^8 + 264*T1^15*T2^8 + 17*T1^16*T2^8 - 
     76*T1*T2^9 - 376*T1^2*T2^9 + 553*T1^3*T2^9 + 437*T1^4*T2^9 - 
     1350*T1^5*T2^9 - 150*T1^6*T2^9 - 954*T1^7*T2^9 - 74*T1^8*T2^9 - 
     74*T1^9*T2^9 - 954*T1^10*T2^9 - 150*T1^11*T2^9 - 1350*T1^12*T2^9 + 
     437*T1^13*T2^9 + 553*T1^14*T2^9 - 376*T1^15*T2^9 - 76*T1^16*T2^9 + 
     160*T1^2*T2^10 + 224*T1^3*T2^10 - 651*T1^4*T2^10 - 166*T1^5*T2^10 + 
     1516*T1^6*T2^10 - 150*T1^7*T2^10 + 1286*T1^8*T2^10 - 954*T1^9*T2^10 + 
     1286*T1^10*T2^10 - 150*T1^11*T2^10 + 1516*T1^12*T2^10 - 
     166*T1^13*T2^10 - 651*T1^14*T2^10 + 224*T1^15*T2^10 + 160*T1^16*T2^10 - 
     210*T1^3*T2^11 - 76*T1^4*T2^11 + 696*T1^5*T2^11 - 166*T1^6*T2^11 - 
     1350*T1^7*T2^11 - 94*T1^8*T2^11 - 150*T1^9*T2^11 - 150*T1^10*T2^11 - 
     94*T1^11*T2^11 - 1350*T1^12*T2^11 - 166*T1^13*T2^11 + 696*T1^14*T2^11 - 
     76*T1^15*T2^11 - 210*T1^16*T2^11 + 227*T1^4*T2^12 - 76*T1^5*T2^12 - 
     651*T1^6*T2^12 + 437*T1^7*T2^12 + 1538*T1^8*T2^12 - 1350*T1^9*T2^12 + 
     1516*T1^10*T2^12 - 1350*T1^11*T2^12 + 1538*T1^12*T2^12 + 
     437*T1^13*T2^12 - 651*T1^14*T2^12 - 76*T1^15*T2^12 + 227*T1^16*T2^12 - 
     210*T1^5*T2^13 + 224*T1^6*T2^13 + 553*T1^7*T2^13 - 1294*T1^8*T2^13 + 
     437*T1^9*T2^13 - 166*T1^10*T2^13 - 166*T1^11*T2^13 + 437*T1^12*T2^13 - 
     1294*T1^13*T2^13 + 553*T1^14*T2^13 + 224*T1^15*T2^13 - 210*T1^16*T2^13 + 
     160*T1^6*T2^14 - 376*T1^7*T2^14 + 136*T1^8*T2^14 + 553*T1^9*T2^14 - 
     651*T1^10*T2^14 + 696*T1^11*T2^14 - 651*T1^12*T2^14 + 553*T1^13*T2^14 + 
     136*T1^14*T2^14 - 376*T1^15*T2^14 + 160*T1^16*T2^14 - 76*T1^7*T2^15 + 
     264*T1^8*T2^15 - 376*T1^9*T2^15 + 224*T1^10*T2^15 - 76*T1^11*T2^15 - 
     76*T1^12*T2^15 + 224*T1^13*T2^15 - 376*T1^14*T2^15 + 264*T1^15*T2^15 - 
     76*T1^16*T2^15 + 17*T1^8*T2^16 - 76*T1^9*T2^16 + 160*T1^10*T2^16 - 
     210*T1^11*T2^16 + 227*T1^12*T2^16 - 210*T1^13*T2^16 + 160*T1^14*T2^16 - 
     76*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 1010] -> 
  {((1 - T + T^2)*(4 - 16*T + 25*T^2 - 16*T^3 + 4*T^4))/T^3, 
   (80 - 392*T1 + 872*T1^2 - 1096*T1^3 + 872*T1^4 - 392*T1^5 + 80*T1^6 - 
     392*T2 + 1532*T1*T2 - 2360*T1^2*T2 + 1104*T1^3*T2 + 1104*T1^4*T2 - 
     2360*T1^5*T2 + 1532*T1^6*T2 - 392*T1^7*T2 + 872*T2^2 - 2360*T1*T2^2 + 
     926*T1^2*T2^2 + 4906*T1^3*T2^2 - 7630*T1^4*T2^2 + 4906*T1^5*T2^2 + 
     926*T1^6*T2^2 - 2360*T1^7*T2^2 + 872*T1^8*T2^2 - 1096*T2^3 + 
     1104*T1*T2^3 + 4906*T1^2*T2^3 - 12212*T1^3*T2^3 + 5804*T1^4*T2^3 + 
     5804*T1^5*T2^3 - 12212*T1^6*T2^3 + 4906*T1^7*T2^3 + 1104*T1^8*T2^3 - 
     1096*T1^9*T2^3 + 872*T2^4 + 1104*T1*T2^4 - 7630*T1^2*T2^4 + 
     5804*T1^3*T2^4 + 14507*T1^4*T2^4 - 23435*T1^5*T2^4 + 14507*T1^6*T2^4 + 
     5804*T1^7*T2^4 - 7630*T1^8*T2^4 + 1104*T1^9*T2^4 + 872*T1^10*T2^4 - 
     392*T2^5 - 2360*T1*T2^5 + 4906*T1^2*T2^5 + 5804*T1^3*T2^5 - 
     23435*T1^4*T2^5 + 11172*T1^5*T2^5 + 11172*T1^6*T2^5 - 23435*T1^7*T2^5 + 
     5804*T1^8*T2^5 + 4906*T1^9*T2^5 - 2360*T1^10*T2^5 - 392*T1^11*T2^5 + 
     80*T2^6 + 1532*T1*T2^6 + 926*T1^2*T2^6 - 12212*T1^3*T2^6 + 
     14507*T1^4*T2^6 + 11172*T1^5*T2^6 - 22272*T1^6*T2^6 + 11172*T1^7*T2^6 + 
     14507*T1^8*T2^6 - 12212*T1^9*T2^6 + 926*T1^10*T2^6 + 1532*T1^11*T2^6 + 
     80*T1^12*T2^6 - 392*T1*T2^7 - 2360*T1^2*T2^7 + 4906*T1^3*T2^7 + 
     5804*T1^4*T2^7 - 23435*T1^5*T2^7 + 11172*T1^6*T2^7 + 11172*T1^7*T2^7 - 
     23435*T1^8*T2^7 + 5804*T1^9*T2^7 + 4906*T1^10*T2^7 - 2360*T1^11*T2^7 - 
     392*T1^12*T2^7 + 872*T1^2*T2^8 + 1104*T1^3*T2^8 - 7630*T1^4*T2^8 + 
     5804*T1^5*T2^8 + 14507*T1^6*T2^8 - 23435*T1^7*T2^8 + 14507*T1^8*T2^8 + 
     5804*T1^9*T2^8 - 7630*T1^10*T2^8 + 1104*T1^11*T2^8 + 872*T1^12*T2^8 - 
     1096*T1^3*T2^9 + 1104*T1^4*T2^9 + 4906*T1^5*T2^9 - 12212*T1^6*T2^9 + 
     5804*T1^7*T2^9 + 5804*T1^8*T2^9 - 12212*T1^9*T2^9 + 4906*T1^10*T2^9 + 
     1104*T1^11*T2^9 - 1096*T1^12*T2^9 + 872*T1^4*T2^10 - 2360*T1^5*T2^10 + 
     926*T1^6*T2^10 + 4906*T1^7*T2^10 - 7630*T1^8*T2^10 + 4906*T1^9*T2^10 + 
     926*T1^10*T2^10 - 2360*T1^11*T2^10 + 872*T1^12*T2^10 - 392*T1^5*T2^11 + 
     1532*T1^6*T2^11 - 2360*T1^7*T2^11 + 1104*T1^8*T2^11 + 1104*T1^9*T2^11 - 
     2360*T1^10*T2^11 + 1532*T1^11*T2^11 - 392*T1^12*T2^11 + 80*T1^6*T2^12 - 
     392*T1^7*T2^12 + 872*T1^8*T2^12 - 1096*T1^9*T2^12 + 872*T1^10*T2^12 - 
     392*T1^11*T2^12 + 80*T1^12*T2^12)/(T1^6*T2^6)}, 
 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), (1 - 3*T1 + 4*T1^2 - 5*T1^3 + 5*T1^4 - 5*T1^5 + 
     4*T1^6 - 3*T1^7 + T1^8 - 3*T2 + 6*T1*T2 - 2*T1^2*T2 + 2*T1^3*T2 + 
     2*T1^6*T2 - 2*T1^7*T2 + 6*T1^8*T2 - 3*T1^9*T2 + 4*T2^2 - 2*T1*T2^2 - 
     16*T1^2*T2^2 + 16*T1^3*T2^2 - 23*T1^4*T2^2 + 26*T1^5*T2^2 - 
     23*T1^6*T2^2 + 16*T1^7*T2^2 - 16*T1^8*T2^2 - 2*T1^9*T2^2 + 
     4*T1^10*T2^2 - 5*T2^3 + 2*T1*T2^3 + 16*T1^2*T2^3 + 8*T1^3*T2^3 - 
     T1^4*T2^3 - 7*T1^5*T2^3 - 7*T1^6*T2^3 - T1^7*T2^3 + 8*T1^8*T2^3 + 
     16*T1^9*T2^3 + 2*T1^10*T2^3 - 5*T1^11*T2^3 + 5*T2^4 - 23*T1^2*T2^4 - 
     T1^3*T2^4 - 57*T1^4*T2^4 + 95*T1^5*T2^4 - 65*T1^6*T2^4 + 95*T1^7*T2^4 - 
     57*T1^8*T2^4 - T1^9*T2^4 - 23*T1^10*T2^4 + 5*T1^12*T2^4 - 5*T2^5 + 
     26*T1^2*T2^5 - 7*T1^3*T2^5 + 95*T1^4*T2^5 - 84*T1^5*T2^5 - 
     19*T1^6*T2^5 - 19*T1^7*T2^5 - 84*T1^8*T2^5 + 95*T1^9*T2^5 - 
     7*T1^10*T2^5 + 26*T1^11*T2^5 - 5*T1^13*T2^5 + 4*T2^6 + 2*T1*T2^6 - 
     23*T1^2*T2^6 - 7*T1^3*T2^6 - 65*T1^4*T2^6 - 19*T1^5*T2^6 + 
     116*T1^6*T2^6 + 116*T1^8*T2^6 - 19*T1^9*T2^6 - 65*T1^10*T2^6 - 
     7*T1^11*T2^6 - 23*T1^12*T2^6 + 2*T1^13*T2^6 + 4*T1^14*T2^6 - 3*T2^7 - 
     2*T1*T2^7 + 16*T1^2*T2^7 - T1^3*T2^7 + 95*T1^4*T2^7 - 19*T1^5*T2^7 - 
     108*T1^7*T2^7 - 108*T1^8*T2^7 - 19*T1^10*T2^7 + 95*T1^11*T2^7 - 
     T1^12*T2^7 + 16*T1^13*T2^7 - 2*T1^14*T2^7 - 3*T1^15*T2^7 + T2^8 + 
     6*T1*T2^8 - 16*T1^2*T2^8 + 8*T1^3*T2^8 - 57*T1^4*T2^8 - 84*T1^5*T2^8 + 
     116*T1^6*T2^8 - 108*T1^7*T2^8 + 324*T1^8*T2^8 - 108*T1^9*T2^8 + 
     116*T1^10*T2^8 - 84*T1^11*T2^8 - 57*T1^12*T2^8 + 8*T1^13*T2^8 - 
     16*T1^14*T2^8 + 6*T1^15*T2^8 + T1^16*T2^8 - 3*T1*T2^9 - 2*T1^2*T2^9 + 
     16*T1^3*T2^9 - T1^4*T2^9 + 95*T1^5*T2^9 - 19*T1^6*T2^9 - 108*T1^8*T2^9 - 
     108*T1^9*T2^9 - 19*T1^11*T2^9 + 95*T1^12*T2^9 - T1^13*T2^9 + 
     16*T1^14*T2^9 - 2*T1^15*T2^9 - 3*T1^16*T2^9 + 4*T1^2*T2^10 + 
     2*T1^3*T2^10 - 23*T1^4*T2^10 - 7*T1^5*T2^10 - 65*T1^6*T2^10 - 
     19*T1^7*T2^10 + 116*T1^8*T2^10 + 116*T1^10*T2^10 - 19*T1^11*T2^10 - 
     65*T1^12*T2^10 - 7*T1^13*T2^10 - 23*T1^14*T2^10 + 2*T1^15*T2^10 + 
     4*T1^16*T2^10 - 5*T1^3*T2^11 + 26*T1^5*T2^11 - 7*T1^6*T2^11 + 
     95*T1^7*T2^11 - 84*T1^8*T2^11 - 19*T1^9*T2^11 - 19*T1^10*T2^11 - 
     84*T1^11*T2^11 + 95*T1^12*T2^11 - 7*T1^13*T2^11 + 26*T1^14*T2^11 - 
     5*T1^16*T2^11 + 5*T1^4*T2^12 - 23*T1^6*T2^12 - T1^7*T2^12 - 
     57*T1^8*T2^12 + 95*T1^9*T2^12 - 65*T1^10*T2^12 + 95*T1^11*T2^12 - 
     57*T1^12*T2^12 - T1^13*T2^12 - 23*T1^14*T2^12 + 5*T1^16*T2^12 - 
     5*T1^5*T2^13 + 2*T1^6*T2^13 + 16*T1^7*T2^13 + 8*T1^8*T2^13 - 
     T1^9*T2^13 - 7*T1^10*T2^13 - 7*T1^11*T2^13 - T1^12*T2^13 + 
     8*T1^13*T2^13 + 16*T1^14*T2^13 + 2*T1^15*T2^13 - 5*T1^16*T2^13 + 
     4*T1^6*T2^14 - 2*T1^7*T2^14 - 16*T1^8*T2^14 + 16*T1^9*T2^14 - 
     23*T1^10*T2^14 + 26*T1^11*T2^14 - 23*T1^12*T2^14 + 16*T1^13*T2^14 - 
     16*T1^14*T2^14 - 2*T1^15*T2^14 + 4*T1^16*T2^14 - 3*T1^7*T2^15 + 
     6*T1^8*T2^15 - 2*T1^9*T2^15 + 2*T1^10*T2^15 + 2*T1^13*T2^15 - 
     2*T1^14*T2^15 + 6*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)/
    (T1^8*T2^8)}, 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), -((7 - 32*T1 + 75*T1^2 - 114*T1^3 + 125*T1^4 - 114*T1^5 + 
      75*T1^6 - 32*T1^7 + 7*T1^8 - 32*T2 + 114*T1*T2 - 196*T1^2*T2 + 
      178*T1^3*T2 - 50*T1^4*T2 - 50*T1^5*T2 + 178*T1^6*T2 - 196*T1^7*T2 + 
      114*T1^8*T2 - 32*T1^9*T2 + 75*T2^2 - 196*T1*T2^2 + 197*T1^2*T2^2 + 
      56*T1^3*T2^2 - 354*T1^4*T2^2 + 319*T1^5*T2^2 - 354*T1^6*T2^2 + 
      56*T1^7*T2^2 + 197*T1^8*T2^2 - 196*T1^9*T2^2 + 75*T1^10*T2^2 - 
      114*T2^3 + 178*T1*T2^3 + 56*T1^2*T2^3 - 534*T1^3*T2^3 + 639*T1^4*T2^3 - 
      50*T1^5*T2^3 - 50*T1^6*T2^3 + 639*T1^7*T2^3 - 534*T1^8*T2^3 + 
      56*T1^9*T2^3 + 178*T1^10*T2^3 - 114*T1^11*T2^3 + 125*T2^4 - 
      50*T1*T2^4 - 354*T1^2*T2^4 + 639*T1^3*T2^4 - 25*T1^4*T2^4 - 
      1034*T1^5*T2^4 + 711*T1^6*T2^4 - 1034*T1^7*T2^4 - 25*T1^8*T2^4 + 
      639*T1^9*T2^4 - 354*T1^10*T2^4 - 50*T1^11*T2^4 + 125*T1^12*T2^4 - 
      114*T2^5 - 50*T1*T2^5 + 319*T1^2*T2^5 - 50*T1^3*T2^5 - 1034*T1^4*T2^5 + 
      1506*T1^5*T2^5 - 71*T1^6*T2^5 - 71*T1^7*T2^5 + 1506*T1^8*T2^5 - 
      1034*T1^9*T2^5 - 50*T1^10*T2^5 + 319*T1^11*T2^5 - 50*T1^12*T2^5 - 
      114*T1^13*T2^5 + 75*T2^6 + 178*T1*T2^6 - 354*T1^2*T2^6 - 50*T1^3*T2^6 + 
      711*T1^4*T2^6 - 71*T1^5*T2^6 - 1745*T1^6*T2^6 + 1321*T1^7*T2^6 - 
      1745*T1^8*T2^6 - 71*T1^9*T2^6 + 711*T1^10*T2^6 - 50*T1^11*T2^6 - 
      354*T1^12*T2^6 + 178*T1^13*T2^6 + 75*T1^14*T2^6 - 32*T2^7 - 
      196*T1*T2^7 + 56*T1^2*T2^7 + 639*T1^3*T2^7 - 1034*T1^4*T2^7 - 
      71*T1^5*T2^7 + 1321*T1^6*T2^7 - 74*T1^7*T2^7 - 74*T1^8*T2^7 + 
      1321*T1^9*T2^7 - 71*T1^10*T2^7 - 1034*T1^11*T2^7 + 639*T1^12*T2^7 + 
      56*T1^13*T2^7 - 196*T1^14*T2^7 - 32*T1^15*T2^7 + 7*T2^8 + 114*T1*T2^8 + 
      197*T1^2*T2^8 - 534*T1^3*T2^8 - 25*T1^4*T2^8 + 1506*T1^5*T2^8 - 
      1745*T1^6*T2^8 - 74*T1^7*T2^8 - 96*T1^8*T2^8 - 74*T1^9*T2^8 - 
      1745*T1^10*T2^8 + 1506*T1^11*T2^8 - 25*T1^12*T2^8 - 534*T1^13*T2^8 + 
      197*T1^14*T2^8 + 114*T1^15*T2^8 + 7*T1^16*T2^8 - 32*T1*T2^9 - 
      196*T1^2*T2^9 + 56*T1^3*T2^9 + 639*T1^4*T2^9 - 1034*T1^5*T2^9 - 
      71*T1^6*T2^9 + 1321*T1^7*T2^9 - 74*T1^8*T2^9 - 74*T1^9*T2^9 + 
      1321*T1^10*T2^9 - 71*T1^11*T2^9 - 1034*T1^12*T2^9 + 639*T1^13*T2^9 + 
      56*T1^14*T2^9 - 196*T1^15*T2^9 - 32*T1^16*T2^9 + 75*T1^2*T2^10 + 
      178*T1^3*T2^10 - 354*T1^4*T2^10 - 50*T1^5*T2^10 + 711*T1^6*T2^10 - 
      71*T1^7*T2^10 - 1745*T1^8*T2^10 + 1321*T1^9*T2^10 - 1745*T1^10*T2^10 - 
      71*T1^11*T2^10 + 711*T1^12*T2^10 - 50*T1^13*T2^10 - 354*T1^14*T2^10 + 
      178*T1^15*T2^10 + 75*T1^16*T2^10 - 114*T1^3*T2^11 - 50*T1^4*T2^11 + 
      319*T1^5*T2^11 - 50*T1^6*T2^11 - 1034*T1^7*T2^11 + 1506*T1^8*T2^11 - 
      71*T1^9*T2^11 - 71*T1^10*T2^11 + 1506*T1^11*T2^11 - 1034*T1^12*T2^11 - 
      50*T1^13*T2^11 + 319*T1^14*T2^11 - 50*T1^15*T2^11 - 114*T1^16*T2^11 + 
      125*T1^4*T2^12 - 50*T1^5*T2^12 - 354*T1^6*T2^12 + 639*T1^7*T2^12 - 
      25*T1^8*T2^12 - 1034*T1^9*T2^12 + 711*T1^10*T2^12 - 1034*T1^11*T2^12 - 
      25*T1^12*T2^12 + 639*T1^13*T2^12 - 354*T1^14*T2^12 - 50*T1^15*T2^12 + 
      125*T1^16*T2^12 - 114*T1^5*T2^13 + 178*T1^6*T2^13 + 56*T1^7*T2^13 - 
      534*T1^8*T2^13 + 639*T1^9*T2^13 - 50*T1^10*T2^13 - 50*T1^11*T2^13 + 
      639*T1^12*T2^13 - 534*T1^13*T2^13 + 56*T1^14*T2^13 + 178*T1^15*T2^13 - 
      114*T1^16*T2^13 + 75*T1^6*T2^14 - 196*T1^7*T2^14 + 197*T1^8*T2^14 + 
      56*T1^9*T2^14 - 354*T1^10*T2^14 + 319*T1^11*T2^14 - 354*T1^12*T2^14 + 
      56*T1^13*T2^14 + 197*T1^14*T2^14 - 196*T1^15*T2^14 + 75*T1^16*T2^14 - 
      32*T1^7*T2^15 + 114*T1^8*T2^15 - 196*T1^9*T2^15 + 178*T1^10*T2^15 - 
      50*T1^11*T2^15 - 50*T1^12*T2^15 + 178*T1^13*T2^15 - 196*T1^14*T2^15 + 
      114*T1^15*T2^15 - 32*T1^16*T2^15 + 7*T1^8*T2^16 - 32*T1^9*T2^16 + 
      75*T1^10*T2^16 - 114*T1^11*T2^16 + 125*T1^12*T2^16 - 114*T1^13*T2^16 + 
      75*T1^14*T2^16 - 32*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^8*T2^8))}, 
 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, (1 - 4*T1 + 9*T1^2 - 15*T1^3 + 20*T1^4 - 21*T1^5 + 
     20*T1^6 - 15*T1^7 + 9*T1^8 - 4*T1^9 + T1^10 - 4*T2 + 12*T1*T2 - 
     20*T1^2*T2 + 24*T1^3*T2 - 20*T1^4*T2 + 4*T1^5*T2 + 4*T1^6*T2 - 
     20*T1^7*T2 + 24*T1^8*T2 - 20*T1^9*T2 + 12*T1^10*T2 - 4*T1^11*T2 + 
     9*T2^2 - 20*T1*T2^2 + 25*T1^2*T2^2 - 24*T1^3*T2^2 + 15*T1^4*T2^2 + 
     7*T1^5*T2^2 + 9*T1^6*T2^2 + 7*T1^7*T2^2 + 15*T1^8*T2^2 - 24*T1^9*T2^2 + 
     25*T1^10*T2^2 - 20*T1^11*T2^2 + 9*T1^12*T2^2 - 15*T2^3 + 24*T1*T2^3 - 
     24*T1^2*T2^3 + 24*T1^3*T2^3 - 14*T1^4*T2^3 - 18*T1^5*T2^3 - 
     25*T1^6*T2^3 - 25*T1^7*T2^3 - 18*T1^8*T2^3 - 14*T1^9*T2^3 + 
     24*T1^10*T2^3 - 24*T1^11*T2^3 + 24*T1^12*T2^3 - 15*T1^13*T2^3 + 
     20*T2^4 - 20*T1*T2^4 + 15*T1^2*T2^4 - 14*T1^3*T2^4 - 13*T1^4*T2^4 + 
     67*T1^5*T2^4 + 9*T1^6*T2^4 + 91*T1^7*T2^4 + 9*T1^8*T2^4 + 67*T1^9*T2^4 - 
     13*T1^10*T2^4 - 14*T1^11*T2^4 + 15*T1^12*T2^4 - 20*T1^13*T2^4 + 
     20*T1^14*T2^4 - 21*T2^5 + 4*T1*T2^5 + 7*T1^2*T2^5 - 18*T1^3*T2^5 + 
     67*T1^4*T2^5 - 106*T1^5*T2^5 - 35*T1^6*T2^5 - 100*T1^7*T2^5 - 
     100*T1^8*T2^5 - 35*T1^9*T2^5 - 106*T1^10*T2^5 + 67*T1^11*T2^5 - 
     18*T1^12*T2^5 + 7*T1^13*T2^5 + 4*T1^14*T2^5 - 21*T1^15*T2^5 + 20*T2^6 + 
     4*T1*T2^6 + 9*T1^2*T2^6 - 25*T1^3*T2^6 + 9*T1^4*T2^6 - 35*T1^5*T2^6 + 
     198*T1^6*T2^6 + 5*T1^7*T2^6 + 250*T1^8*T2^6 + 5*T1^9*T2^6 + 
     198*T1^10*T2^6 - 35*T1^11*T2^6 + 9*T1^12*T2^6 - 25*T1^13*T2^6 + 
     9*T1^14*T2^6 + 4*T1^15*T2^6 + 20*T1^16*T2^6 - 15*T2^7 - 20*T1*T2^7 + 
     7*T1^2*T2^7 - 25*T1^3*T2^7 + 91*T1^4*T2^7 - 100*T1^5*T2^7 + 
     5*T1^6*T2^7 - 220*T1^7*T2^7 - 133*T1^8*T2^7 - 133*T1^9*T2^7 - 
     220*T1^10*T2^7 + 5*T1^11*T2^7 - 100*T1^12*T2^7 + 91*T1^13*T2^7 - 
     25*T1^14*T2^7 + 7*T1^15*T2^7 - 20*T1^16*T2^7 - 15*T1^17*T2^7 + 9*T2^8 + 
     24*T1*T2^8 + 15*T1^2*T2^8 - 18*T1^3*T2^8 + 9*T1^4*T2^8 - 100*T1^5*T2^8 + 
     250*T1^6*T2^8 - 133*T1^7*T2^8 + 534*T1^8*T2^8 - 212*T1^9*T2^8 + 
     534*T1^10*T2^8 - 133*T1^11*T2^8 + 250*T1^12*T2^8 - 100*T1^13*T2^8 + 
     9*T1^14*T2^8 - 18*T1^15*T2^8 + 15*T1^16*T2^8 + 24*T1^17*T2^8 + 
     9*T1^18*T2^8 - 4*T2^9 - 20*T1*T2^9 - 24*T1^2*T2^9 - 14*T1^3*T2^9 + 
     67*T1^4*T2^9 - 35*T1^5*T2^9 + 5*T1^6*T2^9 - 133*T1^7*T2^9 - 
     212*T1^8*T2^9 - 156*T1^9*T2^9 - 156*T1^10*T2^9 - 212*T1^11*T2^9 - 
     133*T1^12*T2^9 + 5*T1^13*T2^9 - 35*T1^14*T2^9 + 67*T1^15*T2^9 - 
     14*T1^16*T2^9 - 24*T1^17*T2^9 - 20*T1^18*T2^9 - 4*T1^19*T2^9 + T2^10 + 
     12*T1*T2^10 + 25*T1^2*T2^10 + 24*T1^3*T2^10 - 13*T1^4*T2^10 - 
     106*T1^5*T2^10 + 198*T1^6*T2^10 - 220*T1^7*T2^10 + 534*T1^8*T2^10 - 
     156*T1^9*T2^10 + 480*T1^10*T2^10 - 156*T1^11*T2^10 + 534*T1^12*T2^10 - 
     220*T1^13*T2^10 + 198*T1^14*T2^10 - 106*T1^15*T2^10 - 13*T1^16*T2^10 + 
     24*T1^17*T2^10 + 25*T1^18*T2^10 + 12*T1^19*T2^10 + T1^20*T2^10 - 
     4*T1*T2^11 - 20*T1^2*T2^11 - 24*T1^3*T2^11 - 14*T1^4*T2^11 + 
     67*T1^5*T2^11 - 35*T1^6*T2^11 + 5*T1^7*T2^11 - 133*T1^8*T2^11 - 
     212*T1^9*T2^11 - 156*T1^10*T2^11 - 156*T1^11*T2^11 - 212*T1^12*T2^11 - 
     133*T1^13*T2^11 + 5*T1^14*T2^11 - 35*T1^15*T2^11 + 67*T1^16*T2^11 - 
     14*T1^17*T2^11 - 24*T1^18*T2^11 - 20*T1^19*T2^11 - 4*T1^20*T2^11 + 
     9*T1^2*T2^12 + 24*T1^3*T2^12 + 15*T1^4*T2^12 - 18*T1^5*T2^12 + 
     9*T1^6*T2^12 - 100*T1^7*T2^12 + 250*T1^8*T2^12 - 133*T1^9*T2^12 + 
     534*T1^10*T2^12 - 212*T1^11*T2^12 + 534*T1^12*T2^12 - 133*T1^13*T2^12 + 
     250*T1^14*T2^12 - 100*T1^15*T2^12 + 9*T1^16*T2^12 - 18*T1^17*T2^12 + 
     15*T1^18*T2^12 + 24*T1^19*T2^12 + 9*T1^20*T2^12 - 15*T1^3*T2^13 - 
     20*T1^4*T2^13 + 7*T1^5*T2^13 - 25*T1^6*T2^13 + 91*T1^7*T2^13 - 
     100*T1^8*T2^13 + 5*T1^9*T2^13 - 220*T1^10*T2^13 - 133*T1^11*T2^13 - 
     133*T1^12*T2^13 - 220*T1^13*T2^13 + 5*T1^14*T2^13 - 100*T1^15*T2^13 + 
     91*T1^16*T2^13 - 25*T1^17*T2^13 + 7*T1^18*T2^13 - 20*T1^19*T2^13 - 
     15*T1^20*T2^13 + 20*T1^4*T2^14 + 4*T1^5*T2^14 + 9*T1^6*T2^14 - 
     25*T1^7*T2^14 + 9*T1^8*T2^14 - 35*T1^9*T2^14 + 198*T1^10*T2^14 + 
     5*T1^11*T2^14 + 250*T1^12*T2^14 + 5*T1^13*T2^14 + 198*T1^14*T2^14 - 
     35*T1^15*T2^14 + 9*T1^16*T2^14 - 25*T1^17*T2^14 + 9*T1^18*T2^14 + 
     4*T1^19*T2^14 + 20*T1^20*T2^14 - 21*T1^5*T2^15 + 4*T1^6*T2^15 + 
     7*T1^7*T2^15 - 18*T1^8*T2^15 + 67*T1^9*T2^15 - 106*T1^10*T2^15 - 
     35*T1^11*T2^15 - 100*T1^12*T2^15 - 100*T1^13*T2^15 - 35*T1^14*T2^15 - 
     106*T1^15*T2^15 + 67*T1^16*T2^15 - 18*T1^17*T2^15 + 7*T1^18*T2^15 + 
     4*T1^19*T2^15 - 21*T1^20*T2^15 + 20*T1^6*T2^16 - 20*T1^7*T2^16 + 
     15*T1^8*T2^16 - 14*T1^9*T2^16 - 13*T1^10*T2^16 + 67*T1^11*T2^16 + 
     9*T1^12*T2^16 + 91*T1^13*T2^16 + 9*T1^14*T2^16 + 67*T1^15*T2^16 - 
     13*T1^16*T2^16 - 14*T1^17*T2^16 + 15*T1^18*T2^16 - 20*T1^19*T2^16 + 
     20*T1^20*T2^16 - 15*T1^7*T2^17 + 24*T1^8*T2^17 - 24*T1^9*T2^17 + 
     24*T1^10*T2^17 - 14*T1^11*T2^17 - 18*T1^12*T2^17 - 25*T1^13*T2^17 - 
     25*T1^14*T2^17 - 18*T1^15*T2^17 - 14*T1^16*T2^17 + 24*T1^17*T2^17 - 
     24*T1^18*T2^17 + 24*T1^19*T2^17 - 15*T1^20*T2^17 + 9*T1^8*T2^18 - 
     20*T1^9*T2^18 + 25*T1^10*T2^18 - 24*T1^11*T2^18 + 15*T1^12*T2^18 + 
     7*T1^13*T2^18 + 9*T1^14*T2^18 + 7*T1^15*T2^18 + 15*T1^16*T2^18 - 
     24*T1^17*T2^18 + 25*T1^18*T2^18 - 20*T1^19*T2^18 + 9*T1^20*T2^18 - 
     4*T1^9*T2^19 + 12*T1^10*T2^19 - 20*T1^11*T2^19 + 24*T1^12*T2^19 - 
     20*T1^13*T2^19 + 4*T1^14*T2^19 + 4*T1^15*T2^19 - 20*T1^16*T2^19 + 
     24*T1^17*T2^19 - 20*T1^18*T2^19 + 12*T1^19*T2^19 - 4*T1^20*T2^19 + 
     T1^10*T2^20 - 4*T1^11*T2^20 + 9*T1^12*T2^20 - 15*T1^13*T2^20 + 
     20*T1^14*T2^20 - 21*T1^15*T2^20 + 20*T1^16*T2^20 - 15*T1^17*T2^20 + 
     9*T1^18*T2^20 - 4*T1^19*T2^20 + T1^20*T2^20)/(T1^10*T2^10)}, 
 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, (1 - 4*T1 + 9*T1^2 - 14*T1^3 + 17*T1^4 - 14*T1^5 + 9*T1^6 - 4*T1^7 + 
     T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 20*T1^3*T2 - 12*T1^4*T2 - 
     12*T1^5*T2 + 20*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 9*T2^2 - 
     20*T1*T2^2 + 24*T1^2*T2^2 - 19*T1^3*T2^2 + 28*T1^4*T2^2 - 12*T1^5*T2^2 + 
     28*T1^6*T2^2 - 19*T1^7*T2^2 + 24*T1^8*T2^2 - 20*T1^9*T2^2 + 
     9*T1^10*T2^2 - 14*T2^3 + 20*T1*T2^3 - 19*T1^2*T2^3 + 40*T1^3*T2^3 - 
     104*T1^4*T2^3 + 29*T1^5*T2^3 + 29*T1^6*T2^3 - 104*T1^7*T2^3 + 
     40*T1^8*T2^3 - 19*T1^9*T2^3 + 20*T1^10*T2^3 - 14*T1^11*T2^3 + 17*T2^4 - 
     12*T1*T2^4 + 28*T1^2*T2^4 - 104*T1^3*T2^4 + 148*T1^4*T2^4 + 
     174*T1^5*T2^4 - 250*T1^6*T2^4 + 174*T1^7*T2^4 + 148*T1^8*T2^4 - 
     104*T1^9*T2^4 + 28*T1^10*T2^4 - 12*T1^11*T2^4 + 17*T1^12*T2^4 - 
     14*T2^5 - 12*T1*T2^5 - 12*T1^2*T2^5 + 29*T1^3*T2^5 + 174*T1^4*T2^5 - 
     676*T1^5*T2^5 + 231*T1^6*T2^5 + 231*T1^7*T2^5 - 676*T1^8*T2^5 + 
     174*T1^9*T2^5 + 29*T1^10*T2^5 - 12*T1^11*T2^5 - 12*T1^12*T2^5 - 
     14*T1^13*T2^5 + 9*T2^6 + 20*T1*T2^6 + 28*T1^2*T2^6 + 29*T1^3*T2^6 - 
     250*T1^4*T2^6 + 231*T1^5*T2^6 + 992*T1^6*T2^6 - 1118*T1^7*T2^6 + 
     992*T1^8*T2^6 + 231*T1^9*T2^6 - 250*T1^10*T2^6 + 29*T1^11*T2^6 + 
     28*T1^12*T2^6 + 20*T1^13*T2^6 + 9*T1^14*T2^6 - 4*T2^7 - 20*T1*T2^7 - 
     19*T1^2*T2^7 - 104*T1^3*T2^7 + 174*T1^4*T2^7 + 231*T1^5*T2^7 - 
     1118*T1^6*T2^7 + 154*T1^7*T2^7 + 154*T1^8*T2^7 - 1118*T1^9*T2^7 + 
     231*T1^10*T2^7 + 174*T1^11*T2^7 - 104*T1^12*T2^7 - 19*T1^13*T2^7 - 
     20*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 24*T1^2*T2^8 + 
     40*T1^3*T2^8 + 148*T1^4*T2^8 - 676*T1^5*T2^8 + 992*T1^6*T2^8 + 
     154*T1^7*T2^8 + 192*T1^8*T2^8 + 154*T1^9*T2^8 + 992*T1^10*T2^8 - 
     676*T1^11*T2^8 + 148*T1^12*T2^8 + 40*T1^13*T2^8 + 24*T1^14*T2^8 + 
     12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 20*T1^2*T2^9 - 19*T1^3*T2^9 - 
     104*T1^4*T2^9 + 174*T1^5*T2^9 + 231*T1^6*T2^9 - 1118*T1^7*T2^9 + 
     154*T1^8*T2^9 + 154*T1^9*T2^9 - 1118*T1^10*T2^9 + 231*T1^11*T2^9 + 
     174*T1^12*T2^9 - 104*T1^13*T2^9 - 19*T1^14*T2^9 - 20*T1^15*T2^9 - 
     4*T1^16*T2^9 + 9*T1^2*T2^10 + 20*T1^3*T2^10 + 28*T1^4*T2^10 + 
     29*T1^5*T2^10 - 250*T1^6*T2^10 + 231*T1^7*T2^10 + 992*T1^8*T2^10 - 
     1118*T1^9*T2^10 + 992*T1^10*T2^10 + 231*T1^11*T2^10 - 250*T1^12*T2^10 + 
     29*T1^13*T2^10 + 28*T1^14*T2^10 + 20*T1^15*T2^10 + 9*T1^16*T2^10 - 
     14*T1^3*T2^11 - 12*T1^4*T2^11 - 12*T1^5*T2^11 + 29*T1^6*T2^11 + 
     174*T1^7*T2^11 - 676*T1^8*T2^11 + 231*T1^9*T2^11 + 231*T1^10*T2^11 - 
     676*T1^11*T2^11 + 174*T1^12*T2^11 + 29*T1^13*T2^11 - 12*T1^14*T2^11 - 
     12*T1^15*T2^11 - 14*T1^16*T2^11 + 17*T1^4*T2^12 - 12*T1^5*T2^12 + 
     28*T1^6*T2^12 - 104*T1^7*T2^12 + 148*T1^8*T2^12 + 174*T1^9*T2^12 - 
     250*T1^10*T2^12 + 174*T1^11*T2^12 + 148*T1^12*T2^12 - 104*T1^13*T2^12 + 
     28*T1^14*T2^12 - 12*T1^15*T2^12 + 17*T1^16*T2^12 - 14*T1^5*T2^13 + 
     20*T1^6*T2^13 - 19*T1^7*T2^13 + 40*T1^8*T2^13 - 104*T1^9*T2^13 + 
     29*T1^10*T2^13 + 29*T1^11*T2^13 - 104*T1^12*T2^13 + 40*T1^13*T2^13 - 
     19*T1^14*T2^13 + 20*T1^15*T2^13 - 14*T1^16*T2^13 + 9*T1^6*T2^14 - 
     20*T1^7*T2^14 + 24*T1^8*T2^14 - 19*T1^9*T2^14 + 28*T1^10*T2^14 - 
     12*T1^11*T2^14 + 28*T1^12*T2^14 - 19*T1^13*T2^14 + 24*T1^14*T2^14 - 
     20*T1^15*T2^14 + 9*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 
     20*T1^9*T2^15 + 20*T1^10*T2^15 - 12*T1^11*T2^15 - 12*T1^12*T2^15 + 
     20*T1^13*T2^15 - 20*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + 
     T1^8*T2^16 - 4*T1^9*T2^16 + 9*T1^10*T2^16 - 14*T1^11*T2^16 + 
     17*T1^12*T2^16 - 14*T1^13*T2^16 + 9*T1^14*T2^16 - 4*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, 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), (7 - 28*T1 + 60*T1^2 - 88*T1^3 + 95*T1^4 - 88*T1^5 + 60*T1^6 - 
     28*T1^7 + 7*T1^8 - 28*T2 + 84*T1*T2 - 128*T1^2*T2 + 112*T1^3*T2 - 
     28*T1^4*T2 - 28*T1^5*T2 + 112*T1^6*T2 - 128*T1^7*T2 + 84*T1^8*T2 - 
     28*T1^9*T2 + 60*T2^2 - 128*T1*T2^2 + 124*T1^2*T2^2 - 15*T1^3*T2^2 - 
     140*T1^4*T2^2 + 100*T1^5*T2^2 - 140*T1^6*T2^2 - 15*T1^7*T2^2 + 
     124*T1^8*T2^2 - 128*T1^9*T2^2 + 60*T1^10*T2^2 - 88*T2^3 + 112*T1*T2^3 - 
     15*T1^2*T2^3 - 164*T1^3*T2^3 + 285*T1^4*T2^3 + 285*T1^7*T2^3 - 
     164*T1^8*T2^3 - 15*T1^9*T2^3 + 112*T1^10*T2^3 - 88*T1^11*T2^3 + 
     95*T2^4 - 28*T1*T2^4 - 140*T1^2*T2^4 + 285*T1^3*T2^4 - 251*T1^4*T2^4 - 
     229*T1^5*T2^4 + 55*T1^6*T2^4 - 229*T1^7*T2^4 - 251*T1^8*T2^4 + 
     285*T1^9*T2^4 - 140*T1^10*T2^4 - 28*T1^11*T2^4 + 95*T1^12*T2^4 - 
     88*T2^5 - 28*T1*T2^5 + 100*T1^2*T2^5 - 229*T1^4*T2^5 + 622*T1^5*T2^5 - 
     50*T1^6*T2^5 - 50*T1^7*T2^5 + 622*T1^8*T2^5 - 229*T1^9*T2^5 + 
     100*T1^11*T2^5 - 28*T1^12*T2^5 - 88*T1^13*T2^5 + 60*T2^6 + 112*T1*T2^6 - 
     140*T1^2*T2^6 + 55*T1^4*T2^6 - 50*T1^5*T2^6 - 826*T1^6*T2^6 + 
     884*T1^7*T2^6 - 826*T1^8*T2^6 - 50*T1^9*T2^6 + 55*T1^10*T2^6 - 
     140*T1^12*T2^6 + 112*T1^13*T2^6 + 60*T1^14*T2^6 - 28*T2^7 - 
     128*T1*T2^7 - 15*T1^2*T2^7 + 285*T1^3*T2^7 - 229*T1^4*T2^7 - 
     50*T1^5*T2^7 + 884*T1^6*T2^7 - 402*T1^7*T2^7 - 402*T1^8*T2^7 + 
     884*T1^9*T2^7 - 50*T1^10*T2^7 - 229*T1^11*T2^7 + 285*T1^12*T2^7 - 
     15*T1^13*T2^7 - 128*T1^14*T2^7 - 28*T1^15*T2^7 + 7*T2^8 + 84*T1*T2^8 + 
     124*T1^2*T2^8 - 164*T1^3*T2^8 - 251*T1^4*T2^8 + 622*T1^5*T2^8 - 
     826*T1^6*T2^8 - 402*T1^7*T2^8 + 1020*T1^8*T2^8 - 402*T1^9*T2^8 - 
     826*T1^10*T2^8 + 622*T1^11*T2^8 - 251*T1^12*T2^8 - 164*T1^13*T2^8 + 
     124*T1^14*T2^8 + 84*T1^15*T2^8 + 7*T1^16*T2^8 - 28*T1*T2^9 - 
     128*T1^2*T2^9 - 15*T1^3*T2^9 + 285*T1^4*T2^9 - 229*T1^5*T2^9 - 
     50*T1^6*T2^9 + 884*T1^7*T2^9 - 402*T1^8*T2^9 - 402*T1^9*T2^9 + 
     884*T1^10*T2^9 - 50*T1^11*T2^9 - 229*T1^12*T2^9 + 285*T1^13*T2^9 - 
     15*T1^14*T2^9 - 128*T1^15*T2^9 - 28*T1^16*T2^9 + 60*T1^2*T2^10 + 
     112*T1^3*T2^10 - 140*T1^4*T2^10 + 55*T1^6*T2^10 - 50*T1^7*T2^10 - 
     826*T1^8*T2^10 + 884*T1^9*T2^10 - 826*T1^10*T2^10 - 50*T1^11*T2^10 + 
     55*T1^12*T2^10 - 140*T1^14*T2^10 + 112*T1^15*T2^10 + 60*T1^16*T2^10 - 
     88*T1^3*T2^11 - 28*T1^4*T2^11 + 100*T1^5*T2^11 - 229*T1^7*T2^11 + 
     622*T1^8*T2^11 - 50*T1^9*T2^11 - 50*T1^10*T2^11 + 622*T1^11*T2^11 - 
     229*T1^12*T2^11 + 100*T1^14*T2^11 - 28*T1^15*T2^11 - 88*T1^16*T2^11 + 
     95*T1^4*T2^12 - 28*T1^5*T2^12 - 140*T1^6*T2^12 + 285*T1^7*T2^12 - 
     251*T1^8*T2^12 - 229*T1^9*T2^12 + 55*T1^10*T2^12 - 229*T1^11*T2^12 - 
     251*T1^12*T2^12 + 285*T1^13*T2^12 - 140*T1^14*T2^12 - 28*T1^15*T2^12 + 
     95*T1^16*T2^12 - 88*T1^5*T2^13 + 112*T1^6*T2^13 - 15*T1^7*T2^13 - 
     164*T1^8*T2^13 + 285*T1^9*T2^13 + 285*T1^12*T2^13 - 164*T1^13*T2^13 - 
     15*T1^14*T2^13 + 112*T1^15*T2^13 - 88*T1^16*T2^13 + 60*T1^6*T2^14 - 
     128*T1^7*T2^14 + 124*T1^8*T2^14 - 15*T1^9*T2^14 - 140*T1^10*T2^14 + 
     100*T1^11*T2^14 - 140*T1^12*T2^14 - 15*T1^13*T2^14 + 124*T1^14*T2^14 - 
     128*T1^15*T2^14 + 60*T1^16*T2^14 - 28*T1^7*T2^15 + 84*T1^8*T2^15 - 
     128*T1^9*T2^15 + 112*T1^10*T2^15 - 28*T1^11*T2^15 - 28*T1^12*T2^15 + 
     112*T1^13*T2^15 - 128*T1^14*T2^15 + 84*T1^15*T2^15 - 28*T1^16*T2^15 + 
     7*T1^8*T2^16 - 28*T1^9*T2^16 + 60*T1^10*T2^16 - 88*T1^11*T2^16 + 
     95*T1^12*T2^16 - 88*T1^13*T2^16 + 60*T1^14*T2^16 - 28*T1^15*T2^16 + 
     7*T1^16*T2^16)/(T1^8*T2^8)}, Knot[12, Alternating, 1016] -> 
  {-((4 - 18*T + 40*T^2 - 53*T^3 + 40*T^4 - 18*T^5 + 4*T^6)/T^3), 
   (4*T1 - 8*T1^2 + 8*T1^3 - 8*T1^4 + 4*T1^5 + 4*T2 - 30*T1*T2 + 36*T1^2*T2 - 
     12*T1^3*T2 - 12*T1^4*T2 + 36*T1^5*T2 - 30*T1^6*T2 + 4*T1^7*T2 - 8*T2^2 + 
     36*T1*T2^2 + 97*T1^2*T2^2 - 317*T1^3*T2^2 + 409*T1^4*T2^2 - 
     317*T1^5*T2^2 + 97*T1^6*T2^2 + 36*T1^7*T2^2 - 8*T1^8*T2^2 + 8*T2^3 - 
     12*T1*T2^3 - 317*T1^2*T2^3 + 522*T1^3*T2^3 - 236*T1^4*T2^3 - 
     236*T1^5*T2^3 + 522*T1^6*T2^3 - 317*T1^7*T2^3 - 12*T1^8*T2^3 + 
     8*T1^9*T2^3 - 8*T2^4 - 12*T1*T2^4 + 409*T1^2*T2^4 - 236*T1^3*T2^4 - 
     406*T1^4*T2^4 + 630*T1^5*T2^4 - 406*T1^6*T2^4 - 236*T1^7*T2^4 + 
     409*T1^8*T2^4 - 12*T1^9*T2^4 - 8*T1^10*T2^4 + 4*T2^5 + 36*T1*T2^5 - 
     317*T1^2*T2^5 - 236*T1^3*T2^5 + 630*T1^4*T2^5 - 198*T1^5*T2^5 - 
     198*T1^6*T2^5 + 630*T1^7*T2^5 - 236*T1^8*T2^5 - 317*T1^9*T2^5 + 
     36*T1^10*T2^5 + 4*T1^11*T2^5 - 30*T1*T2^6 + 97*T1^2*T2^6 + 
     522*T1^3*T2^6 - 406*T1^4*T2^6 - 198*T1^5*T2^6 + 204*T1^6*T2^6 - 
     198*T1^7*T2^6 - 406*T1^8*T2^6 + 522*T1^9*T2^6 + 97*T1^10*T2^6 - 
     30*T1^11*T2^6 + 4*T1*T2^7 + 36*T1^2*T2^7 - 317*T1^3*T2^7 - 
     236*T1^4*T2^7 + 630*T1^5*T2^7 - 198*T1^6*T2^7 - 198*T1^7*T2^7 + 
     630*T1^8*T2^7 - 236*T1^9*T2^7 - 317*T1^10*T2^7 + 36*T1^11*T2^7 + 
     4*T1^12*T2^7 - 8*T1^2*T2^8 - 12*T1^3*T2^8 + 409*T1^4*T2^8 - 
     236*T1^5*T2^8 - 406*T1^6*T2^8 + 630*T1^7*T2^8 - 406*T1^8*T2^8 - 
     236*T1^9*T2^8 + 409*T1^10*T2^8 - 12*T1^11*T2^8 - 8*T1^12*T2^8 + 
     8*T1^3*T2^9 - 12*T1^4*T2^9 - 317*T1^5*T2^9 + 522*T1^6*T2^9 - 
     236*T1^7*T2^9 - 236*T1^8*T2^9 + 522*T1^9*T2^9 - 317*T1^10*T2^9 - 
     12*T1^11*T2^9 + 8*T1^12*T2^9 - 8*T1^4*T2^10 + 36*T1^5*T2^10 + 
     97*T1^6*T2^10 - 317*T1^7*T2^10 + 409*T1^8*T2^10 - 317*T1^9*T2^10 + 
     97*T1^10*T2^10 + 36*T1^11*T2^10 - 8*T1^12*T2^10 + 4*T1^5*T2^11 - 
     30*T1^6*T2^11 + 36*T1^7*T2^11 - 12*T1^8*T2^11 - 12*T1^9*T2^11 + 
     36*T1^10*T2^11 - 30*T1^11*T2^11 + 4*T1^12*T2^11 + 4*T1^7*T2^12 - 
     8*T1^8*T2^12 + 8*T1^9*T2^12 - 8*T1^10*T2^12 + 4*T1^11*T2^12)/
    (T1^6*T2^6)}, 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, (15 - 60*T1 + 112*T1^2 - 142*T1^3 + 157*T1^4 - 142*T1^5 + 112*T1^6 - 
     60*T1^7 + 15*T1^8 - 60*T2 + 180*T1*T2 - 208*T1^2*T2 + 120*T1^3*T2 - 
     60*T1^4*T2 - 60*T1^5*T2 + 120*T1^6*T2 - 208*T1^7*T2 + 180*T1^8*T2 - 
     60*T1^9*T2 + 112*T2^2 - 208*T1*T2^2 - 26*T1^2*T2^2 + 335*T1^3*T2^2 - 
     352*T1^4*T2^2 + 484*T1^5*T2^2 - 352*T1^6*T2^2 + 335*T1^7*T2^2 - 
     26*T1^8*T2^2 - 208*T1^9*T2^2 + 112*T1^10*T2^2 - 142*T2^3 + 120*T1*T2^3 + 
     335*T1^2*T2^3 - 488*T1^3*T2^3 + 121*T1^4*T2^3 - 184*T1^5*T2^3 - 
     184*T1^6*T2^3 + 121*T1^7*T2^3 - 488*T1^8*T2^3 + 335*T1^9*T2^3 + 
     120*T1^10*T2^3 - 142*T1^11*T2^3 + 157*T2^4 - 60*T1*T2^4 - 
     352*T1^2*T2^4 + 121*T1^3*T2^4 + 423*T1^4*T2^4 - 133*T1^5*T2^4 + 
     497*T1^6*T2^4 - 133*T1^7*T2^4 + 423*T1^8*T2^4 + 121*T1^9*T2^4 - 
     352*T1^10*T2^4 - 60*T1^11*T2^4 + 157*T1^12*T2^4 - 142*T2^5 - 
     60*T1*T2^5 + 484*T1^2*T2^5 - 184*T1^3*T2^5 - 133*T1^4*T2^5 - 
     348*T1^5*T2^5 - 174*T1^6*T2^5 - 174*T1^7*T2^5 - 348*T1^8*T2^5 - 
     133*T1^9*T2^5 - 184*T1^10*T2^5 + 484*T1^11*T2^5 - 60*T1^12*T2^5 - 
     142*T1^13*T2^5 + 112*T2^6 + 120*T1*T2^6 - 352*T1^2*T2^6 - 
     184*T1^3*T2^6 + 497*T1^4*T2^6 - 174*T1^5*T2^6 + 854*T1^6*T2^6 - 
     428*T1^7*T2^6 + 854*T1^8*T2^6 - 174*T1^9*T2^6 + 497*T1^10*T2^6 - 
     184*T1^11*T2^6 - 352*T1^12*T2^6 + 120*T1^13*T2^6 + 112*T1^14*T2^6 - 
     60*T2^7 - 208*T1*T2^7 + 335*T1^2*T2^7 + 121*T1^3*T2^7 - 133*T1^4*T2^7 - 
     174*T1^5*T2^7 - 428*T1^6*T2^7 - 156*T1^7*T2^7 - 156*T1^8*T2^7 - 
     428*T1^9*T2^7 - 174*T1^10*T2^7 - 133*T1^11*T2^7 + 121*T1^12*T2^7 + 
     335*T1^13*T2^7 - 208*T1^14*T2^7 - 60*T1^15*T2^7 + 15*T2^8 + 
     180*T1*T2^8 - 26*T1^2*T2^8 - 488*T1^3*T2^8 + 423*T1^4*T2^8 - 
     348*T1^5*T2^8 + 854*T1^6*T2^8 - 156*T1^7*T2^8 + 516*T1^8*T2^8 - 
     156*T1^9*T2^8 + 854*T1^10*T2^8 - 348*T1^11*T2^8 + 423*T1^12*T2^8 - 
     488*T1^13*T2^8 - 26*T1^14*T2^8 + 180*T1^15*T2^8 + 15*T1^16*T2^8 - 
     60*T1*T2^9 - 208*T1^2*T2^9 + 335*T1^3*T2^9 + 121*T1^4*T2^9 - 
     133*T1^5*T2^9 - 174*T1^6*T2^9 - 428*T1^7*T2^9 - 156*T1^8*T2^9 - 
     156*T1^9*T2^9 - 428*T1^10*T2^9 - 174*T1^11*T2^9 - 133*T1^12*T2^9 + 
     121*T1^13*T2^9 + 335*T1^14*T2^9 - 208*T1^15*T2^9 - 60*T1^16*T2^9 + 
     112*T1^2*T2^10 + 120*T1^3*T2^10 - 352*T1^4*T2^10 - 184*T1^5*T2^10 + 
     497*T1^6*T2^10 - 174*T1^7*T2^10 + 854*T1^8*T2^10 - 428*T1^9*T2^10 + 
     854*T1^10*T2^10 - 174*T1^11*T2^10 + 497*T1^12*T2^10 - 184*T1^13*T2^10 - 
     352*T1^14*T2^10 + 120*T1^15*T2^10 + 112*T1^16*T2^10 - 142*T1^3*T2^11 - 
     60*T1^4*T2^11 + 484*T1^5*T2^11 - 184*T1^6*T2^11 - 133*T1^7*T2^11 - 
     348*T1^8*T2^11 - 174*T1^9*T2^11 - 174*T1^10*T2^11 - 348*T1^11*T2^11 - 
     133*T1^12*T2^11 - 184*T1^13*T2^11 + 484*T1^14*T2^11 - 60*T1^15*T2^11 - 
     142*T1^16*T2^11 + 157*T1^4*T2^12 - 60*T1^5*T2^12 - 352*T1^6*T2^12 + 
     121*T1^7*T2^12 + 423*T1^8*T2^12 - 133*T1^9*T2^12 + 497*T1^10*T2^12 - 
     133*T1^11*T2^12 + 423*T1^12*T2^12 + 121*T1^13*T2^12 - 352*T1^14*T2^12 - 
     60*T1^15*T2^12 + 157*T1^16*T2^12 - 142*T1^5*T2^13 + 120*T1^6*T2^13 + 
     335*T1^7*T2^13 - 488*T1^8*T2^13 + 121*T1^9*T2^13 - 184*T1^10*T2^13 - 
     184*T1^11*T2^13 + 121*T1^12*T2^13 - 488*T1^13*T2^13 + 335*T1^14*T2^13 + 
     120*T1^15*T2^13 - 142*T1^16*T2^13 + 112*T1^6*T2^14 - 208*T1^7*T2^14 - 
     26*T1^8*T2^14 + 335*T1^9*T2^14 - 352*T1^10*T2^14 + 484*T1^11*T2^14 - 
     352*T1^12*T2^14 + 335*T1^13*T2^14 - 26*T1^14*T2^14 - 208*T1^15*T2^14 + 
     112*T1^16*T2^14 - 60*T1^7*T2^15 + 180*T1^8*T2^15 - 208*T1^9*T2^15 + 
     120*T1^10*T2^15 - 60*T1^11*T2^15 - 60*T1^12*T2^15 + 120*T1^13*T2^15 - 
     208*T1^14*T2^15 + 180*T1^15*T2^15 - 60*T1^16*T2^15 + 15*T1^8*T2^16 - 
     60*T1^9*T2^16 + 112*T1^10*T2^16 - 142*T1^11*T2^16 + 157*T1^12*T2^16 - 
     142*T1^13*T2^16 + 112*T1^14*T2^16 - 60*T1^15*T2^16 + 15*T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 1018] -> 
  {(4 - 18*T + 36*T^2 - 43*T^3 + 36*T^4 - 18*T^5 + 4*T^6)/T^3, 
   (64 - 284*T1 + 560*T1^2 - 664*T1^3 + 560*T1^4 - 284*T1^5 + 64*T1^6 - 
     284*T2 + 978*T1*T2 - 1228*T1^2*T2 + 464*T1^3*T2 + 464*T1^4*T2 - 
     1228*T1^5*T2 + 978*T1^6*T2 - 284*T1^7*T2 + 560*T2^2 - 1228*T1*T2^2 - 
     207*T1^2*T2^2 + 3015*T1^3*T2^2 - 3733*T1^4*T2^2 + 3015*T1^5*T2^2 - 
     207*T1^6*T2^2 - 1228*T1^7*T2^2 + 560*T1^8*T2^2 - 664*T2^3 + 
     464*T1*T2^3 + 3015*T1^2*T2^3 - 5274*T1^3*T2^3 + 1818*T1^4*T2^3 + 
     1818*T1^5*T2^3 - 5274*T1^6*T2^3 + 3015*T1^7*T2^3 + 464*T1^8*T2^3 - 
     664*T1^9*T2^3 + 560*T2^4 + 464*T1*T2^4 - 3733*T1^2*T2^4 + 
     1818*T1^3*T2^4 + 5764*T1^4*T2^4 - 7666*T1^5*T2^4 + 5764*T1^6*T2^4 + 
     1818*T1^7*T2^4 - 3733*T1^8*T2^4 + 464*T1^9*T2^4 + 560*T1^10*T2^4 - 
     284*T2^5 - 1228*T1*T2^5 + 3015*T1^2*T2^5 + 1818*T1^3*T2^5 - 
     7666*T1^4*T2^5 + 3042*T1^5*T2^5 + 3042*T1^6*T2^5 - 7666*T1^7*T2^5 + 
     1818*T1^8*T2^5 + 3015*T1^9*T2^5 - 1228*T1^10*T2^5 - 284*T1^11*T2^5 + 
     64*T2^6 + 978*T1*T2^6 - 207*T1^2*T2^6 - 5274*T1^3*T2^6 + 
     5764*T1^4*T2^6 + 3042*T1^5*T2^6 - 5964*T1^6*T2^6 + 3042*T1^7*T2^6 + 
     5764*T1^8*T2^6 - 5274*T1^9*T2^6 - 207*T1^10*T2^6 + 978*T1^11*T2^6 + 
     64*T1^12*T2^6 - 284*T1*T2^7 - 1228*T1^2*T2^7 + 3015*T1^3*T2^7 + 
     1818*T1^4*T2^7 - 7666*T1^5*T2^7 + 3042*T1^6*T2^7 + 3042*T1^7*T2^7 - 
     7666*T1^8*T2^7 + 1818*T1^9*T2^7 + 3015*T1^10*T2^7 - 1228*T1^11*T2^7 - 
     284*T1^12*T2^7 + 560*T1^2*T2^8 + 464*T1^3*T2^8 - 3733*T1^4*T2^8 + 
     1818*T1^5*T2^8 + 5764*T1^6*T2^8 - 7666*T1^7*T2^8 + 5764*T1^8*T2^8 + 
     1818*T1^9*T2^8 - 3733*T1^10*T2^8 + 464*T1^11*T2^8 + 560*T1^12*T2^8 - 
     664*T1^3*T2^9 + 464*T1^4*T2^9 + 3015*T1^5*T2^9 - 5274*T1^6*T2^9 + 
     1818*T1^7*T2^9 + 1818*T1^8*T2^9 - 5274*T1^9*T2^9 + 3015*T1^10*T2^9 + 
     464*T1^11*T2^9 - 664*T1^12*T2^9 + 560*T1^4*T2^10 - 1228*T1^5*T2^10 - 
     207*T1^6*T2^10 + 3015*T1^7*T2^10 - 3733*T1^8*T2^10 + 3015*T1^9*T2^10 - 
     207*T1^10*T2^10 - 1228*T1^11*T2^10 + 560*T1^12*T2^10 - 284*T1^5*T2^11 + 
     978*T1^6*T2^11 - 1228*T1^7*T2^11 + 464*T1^8*T2^11 + 464*T1^9*T2^11 - 
     1228*T1^10*T2^11 + 978*T1^11*T2^11 - 284*T1^12*T2^11 + 64*T1^6*T2^12 - 
     284*T1^7*T2^12 + 560*T1^8*T2^12 - 664*T1^9*T2^12 + 560*T1^10*T2^12 - 
     284*T1^11*T2^12 + 64*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 1019] -> {(1 - 5*T + 7*T^2 - 5*T^3 + T^4)^2/T^4, 0}, 
 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), -((1 - 9*T1 + 34*T1^2 - 71*T1^3 + 89*T1^4 - 71*T1^5 + 34*T1^6 - 
      9*T1^7 + T1^8 - 9*T2 + 72*T1*T2 - 225*T1^2*T2 + 333*T1^3*T2 - 
      162*T1^4*T2 - 162*T1^5*T2 + 333*T1^6*T2 - 225*T1^7*T2 + 72*T1^8*T2 - 
      9*T1^9*T2 + 34*T2^2 - 225*T1*T2^2 + 463*T1^2*T2^2 + 19*T1^3*T2^2 - 
      1522*T1^4*T2^2 + 2319*T1^5*T2^2 - 1522*T1^6*T2^2 + 19*T1^7*T2^2 + 
      463*T1^8*T2^2 - 225*T1^9*T2^2 + 34*T1^10*T2^2 - 71*T2^3 + 333*T1*T2^3 + 
      19*T1^2*T2^3 - 2582*T1^3*T2^3 + 5409*T1^4*T2^3 - 2772*T1^5*T2^3 - 
      2772*T1^6*T2^3 + 5409*T1^7*T2^3 - 2582*T1^8*T2^3 + 19*T1^9*T2^3 + 
      333*T1^10*T2^3 - 71*T1^11*T2^3 + 89*T2^4 - 162*T1*T2^4 - 
      1522*T1^2*T2^4 + 5409*T1^3*T2^4 - 3591*T1^4*T2^4 - 9705*T1^5*T2^4 + 
      16851*T1^6*T2^4 - 9705*T1^7*T2^4 - 3591*T1^8*T2^4 + 5409*T1^9*T2^4 - 
      1522*T1^10*T2^4 - 162*T1^11*T2^4 + 89*T1^12*T2^4 - 71*T2^5 - 
      162*T1*T2^5 + 2319*T1^2*T2^5 - 2772*T1^3*T2^5 - 9705*T1^4*T2^5 + 
      26904*T1^5*T2^5 - 14122*T1^6*T2^5 - 14122*T1^7*T2^5 + 26904*T1^8*T2^5 - 
      9705*T1^9*T2^5 - 2772*T1^10*T2^5 + 2319*T1^11*T2^5 - 162*T1^12*T2^5 - 
      71*T1^13*T2^5 + 34*T2^6 + 333*T1*T2^6 - 1522*T1^2*T2^6 - 
      2772*T1^3*T2^6 + 16851*T1^4*T2^6 - 14122*T1^5*T2^6 - 29217*T1^6*T2^6 + 
      52625*T1^7*T2^6 - 29217*T1^8*T2^6 - 14122*T1^9*T2^6 + 
      16851*T1^10*T2^6 - 2772*T1^11*T2^6 - 1522*T1^12*T2^6 + 333*T1^13*T2^6 + 
      34*T1^14*T2^6 - 9*T2^7 - 225*T1*T2^7 + 19*T1^2*T2^7 + 5409*T1^3*T2^7 - 
      9705*T1^4*T2^7 - 14122*T1^5*T2^7 + 52625*T1^6*T2^7 - 28434*T1^7*T2^7 - 
      28434*T1^8*T2^7 + 52625*T1^9*T2^7 - 14122*T1^10*T2^7 - 
      9705*T1^11*T2^7 + 5409*T1^12*T2^7 + 19*T1^13*T2^7 - 225*T1^14*T2^7 - 
      9*T1^15*T2^7 + T2^8 + 72*T1*T2^8 + 463*T1^2*T2^8 - 2582*T1^3*T2^8 - 
      3591*T1^4*T2^8 + 26904*T1^5*T2^8 - 29217*T1^6*T2^8 - 28434*T1^7*T2^8 + 
      60516*T1^8*T2^8 - 28434*T1^9*T2^8 - 29217*T1^10*T2^8 + 
      26904*T1^11*T2^8 - 3591*T1^12*T2^8 - 2582*T1^13*T2^8 + 463*T1^14*T2^8 + 
      72*T1^15*T2^8 + T1^16*T2^8 - 9*T1*T2^9 - 225*T1^2*T2^9 + 19*T1^3*T2^9 + 
      5409*T1^4*T2^9 - 9705*T1^5*T2^9 - 14122*T1^6*T2^9 + 52625*T1^7*T2^9 - 
      28434*T1^8*T2^9 - 28434*T1^9*T2^9 + 52625*T1^10*T2^9 - 
      14122*T1^11*T2^9 - 9705*T1^12*T2^9 + 5409*T1^13*T2^9 + 19*T1^14*T2^9 - 
      225*T1^15*T2^9 - 9*T1^16*T2^9 + 34*T1^2*T2^10 + 333*T1^3*T2^10 - 
      1522*T1^4*T2^10 - 2772*T1^5*T2^10 + 16851*T1^6*T2^10 - 
      14122*T1^7*T2^10 - 29217*T1^8*T2^10 + 52625*T1^9*T2^10 - 
      29217*T1^10*T2^10 - 14122*T1^11*T2^10 + 16851*T1^12*T2^10 - 
      2772*T1^13*T2^10 - 1522*T1^14*T2^10 + 333*T1^15*T2^10 + 
      34*T1^16*T2^10 - 71*T1^3*T2^11 - 162*T1^4*T2^11 + 2319*T1^5*T2^11 - 
      2772*T1^6*T2^11 - 9705*T1^7*T2^11 + 26904*T1^8*T2^11 - 
      14122*T1^9*T2^11 - 14122*T1^10*T2^11 + 26904*T1^11*T2^11 - 
      9705*T1^12*T2^11 - 2772*T1^13*T2^11 + 2319*T1^14*T2^11 - 
      162*T1^15*T2^11 - 71*T1^16*T2^11 + 89*T1^4*T2^12 - 162*T1^5*T2^12 - 
      1522*T1^6*T2^12 + 5409*T1^7*T2^12 - 3591*T1^8*T2^12 - 9705*T1^9*T2^12 + 
      16851*T1^10*T2^12 - 9705*T1^11*T2^12 - 3591*T1^12*T2^12 + 
      5409*T1^13*T2^12 - 1522*T1^14*T2^12 - 162*T1^15*T2^12 + 
      89*T1^16*T2^12 - 71*T1^5*T2^13 + 333*T1^6*T2^13 + 19*T1^7*T2^13 - 
      2582*T1^8*T2^13 + 5409*T1^9*T2^13 - 2772*T1^10*T2^13 - 
      2772*T1^11*T2^13 + 5409*T1^12*T2^13 - 2582*T1^13*T2^13 + 
      19*T1^14*T2^13 + 333*T1^15*T2^13 - 71*T1^16*T2^13 + 34*T1^6*T2^14 - 
      225*T1^7*T2^14 + 463*T1^8*T2^14 + 19*T1^9*T2^14 - 1522*T1^10*T2^14 + 
      2319*T1^11*T2^14 - 1522*T1^12*T2^14 + 19*T1^13*T2^14 + 
      463*T1^14*T2^14 - 225*T1^15*T2^14 + 34*T1^16*T2^14 - 9*T1^7*T2^15 + 
      72*T1^8*T2^15 - 225*T1^9*T2^15 + 333*T1^10*T2^15 - 162*T1^11*T2^15 - 
      162*T1^12*T2^15 + 333*T1^13*T2^15 - 225*T1^14*T2^15 + 72*T1^15*T2^15 - 
      9*T1^16*T2^15 + T1^8*T2^16 - 9*T1^9*T2^16 + 34*T1^10*T2^16 - 
      71*T1^11*T2^16 + 89*T1^12*T2^16 - 71*T1^13*T2^16 + 34*T1^14*T2^16 - 
      9*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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), -((1 - 9*T1 + 35*T1^2 - 76*T1^3 + 97*T1^4 - 76*T1^5 + 35*T1^6 - 
      9*T1^7 + T1^8 - 9*T2 + 72*T1*T2 - 234*T1^2*T2 + 369*T1^3*T2 - 
      189*T1^4*T2 - 189*T1^5*T2 + 369*T1^6*T2 - 234*T1^7*T2 + 72*T1^8*T2 - 
      9*T1^9*T2 + 35*T2^2 - 234*T1*T2^2 + 532*T1^2*T2^2 - 141*T1^3*T2^2 - 
      1543*T1^4*T2^2 + 2550*T1^5*T2^2 - 1543*T1^6*T2^2 - 141*T1^7*T2^2 + 
      532*T1^8*T2^2 - 234*T1^9*T2^2 + 35*T1^10*T2^2 - 76*T2^3 + 369*T1*T2^3 - 
      141*T1^2*T2^3 - 2516*T1^3*T2^3 + 6316*T1^4*T2^3 - 3557*T1^5*T2^3 - 
      3557*T1^6*T2^3 + 6316*T1^7*T2^3 - 2516*T1^8*T2^3 - 141*T1^9*T2^3 + 
      369*T1^10*T2^3 - 76*T1^11*T2^3 + 97*T2^4 - 189*T1*T2^4 - 
      1543*T1^2*T2^4 + 6316*T1^3*T2^4 - 5813*T1^4*T2^4 - 11488*T1^5*T2^4 + 
      22443*T1^6*T2^4 - 11488*T1^7*T2^4 - 5813*T1^8*T2^4 + 6316*T1^9*T2^4 - 
      1543*T1^10*T2^4 - 189*T1^11*T2^4 + 97*T1^12*T2^4 - 76*T2^5 - 
      189*T1*T2^5 + 2550*T1^2*T2^5 - 3557*T1^3*T2^5 - 11488*T1^4*T2^5 + 
      39222*T1^5*T2^5 - 22901*T1^6*T2^5 - 22901*T1^7*T2^5 + 39222*T1^8*T2^5 - 
      11488*T1^9*T2^5 - 3557*T1^10*T2^5 + 2550*T1^11*T2^5 - 189*T1^12*T2^5 - 
      76*T1^13*T2^5 + 35*T2^6 + 369*T1*T2^6 - 1543*T1^2*T2^6 - 
      3557*T1^3*T2^6 + 22443*T1^4*T2^6 - 22901*T1^5*T2^6 - 48768*T1^6*T2^6 + 
      94322*T1^7*T2^6 - 48768*T1^8*T2^6 - 22901*T1^9*T2^6 + 
      22443*T1^10*T2^6 - 3557*T1^11*T2^6 - 1543*T1^12*T2^6 + 369*T1^13*T2^6 + 
      35*T1^14*T2^6 - 9*T2^7 - 234*T1*T2^7 - 141*T1^2*T2^7 + 6316*T1^3*T2^7 - 
      11488*T1^4*T2^7 - 22901*T1^5*T2^7 + 94322*T1^6*T2^7 - 56044*T1^7*T2^7 - 
      56044*T1^8*T2^7 + 94322*T1^9*T2^7 - 22901*T1^10*T2^7 - 
      11488*T1^11*T2^7 + 6316*T1^12*T2^7 - 141*T1^13*T2^7 - 234*T1^14*T2^7 - 
      9*T1^15*T2^7 + T2^8 + 72*T1*T2^8 + 532*T1^2*T2^8 - 2516*T1^3*T2^8 - 
      5813*T1^4*T2^8 + 39222*T1^5*T2^8 - 48768*T1^6*T2^8 - 56044*T1^7*T2^8 + 
      124428*T1^8*T2^8 - 56044*T1^9*T2^8 - 48768*T1^10*T2^8 + 
      39222*T1^11*T2^8 - 5813*T1^12*T2^8 - 2516*T1^13*T2^8 + 532*T1^14*T2^8 + 
      72*T1^15*T2^8 + T1^16*T2^8 - 9*T1*T2^9 - 234*T1^2*T2^9 - 
      141*T1^3*T2^9 + 6316*T1^4*T2^9 - 11488*T1^5*T2^9 - 22901*T1^6*T2^9 + 
      94322*T1^7*T2^9 - 56044*T1^8*T2^9 - 56044*T1^9*T2^9 + 
      94322*T1^10*T2^9 - 22901*T1^11*T2^9 - 11488*T1^12*T2^9 + 
      6316*T1^13*T2^9 - 141*T1^14*T2^9 - 234*T1^15*T2^9 - 9*T1^16*T2^9 + 
      35*T1^2*T2^10 + 369*T1^3*T2^10 - 1543*T1^4*T2^10 - 3557*T1^5*T2^10 + 
      22443*T1^6*T2^10 - 22901*T1^7*T2^10 - 48768*T1^8*T2^10 + 
      94322*T1^9*T2^10 - 48768*T1^10*T2^10 - 22901*T1^11*T2^10 + 
      22443*T1^12*T2^10 - 3557*T1^13*T2^10 - 1543*T1^14*T2^10 + 
      369*T1^15*T2^10 + 35*T1^16*T2^10 - 76*T1^3*T2^11 - 189*T1^4*T2^11 + 
      2550*T1^5*T2^11 - 3557*T1^6*T2^11 - 11488*T1^7*T2^11 + 
      39222*T1^8*T2^11 - 22901*T1^9*T2^11 - 22901*T1^10*T2^11 + 
      39222*T1^11*T2^11 - 11488*T1^12*T2^11 - 3557*T1^13*T2^11 + 
      2550*T1^14*T2^11 - 189*T1^15*T2^11 - 76*T1^16*T2^11 + 97*T1^4*T2^12 - 
      189*T1^5*T2^12 - 1543*T1^6*T2^12 + 6316*T1^7*T2^12 - 5813*T1^8*T2^12 - 
      11488*T1^9*T2^12 + 22443*T1^10*T2^12 - 11488*T1^11*T2^12 - 
      5813*T1^12*T2^12 + 6316*T1^13*T2^12 - 1543*T1^14*T2^12 - 
      189*T1^15*T2^12 + 97*T1^16*T2^12 - 76*T1^5*T2^13 + 369*T1^6*T2^13 - 
      141*T1^7*T2^13 - 2516*T1^8*T2^13 + 6316*T1^9*T2^13 - 3557*T1^10*T2^13 - 
      3557*T1^11*T2^13 + 6316*T1^12*T2^13 - 2516*T1^13*T2^13 - 
      141*T1^14*T2^13 + 369*T1^15*T2^13 - 76*T1^16*T2^13 + 35*T1^6*T2^14 - 
      234*T1^7*T2^14 + 532*T1^8*T2^14 - 141*T1^9*T2^14 - 1543*T1^10*T2^14 + 
      2550*T1^11*T2^14 - 1543*T1^12*T2^14 - 141*T1^13*T2^14 + 
      532*T1^14*T2^14 - 234*T1^15*T2^14 + 35*T1^16*T2^14 - 9*T1^7*T2^15 + 
      72*T1^8*T2^15 - 234*T1^9*T2^15 + 369*T1^10*T2^15 - 189*T1^11*T2^15 - 
      189*T1^12*T2^15 + 369*T1^13*T2^15 - 234*T1^14*T2^15 + 72*T1^15*T2^15 - 
      9*T1^16*T2^15 + T1^8*T2^16 - 9*T1^9*T2^16 + 35*T1^10*T2^16 - 
      76*T1^11*T2^16 + 97*T1^12*T2^16 - 76*T1^13*T2^16 + 35*T1^14*T2^16 - 
      9*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 1022] -> 
  {(3 - 21*T + 58*T^2 - 79*T^3 + 58*T^4 - 21*T^5 + 3*T^6)/T^3, 
   (30 - 213*T1 + 594*T1^2 - 810*T1^3 + 594*T1^4 - 213*T1^5 + 30*T1^6 - 
     213*T2 + 1300*T1*T2 - 2707*T1^2*T2 + 1535*T1^3*T2 + 1535*T1^4*T2 - 
     2707*T1^5*T2 + 1300*T1^6*T2 - 213*T1^7*T2 + 594*T2^2 - 2707*T1*T2^2 + 
     1605*T1^2*T2^2 + 9731*T1^3*T2^2 - 17377*T1^4*T2^2 + 9731*T1^5*T2^2 + 
     1605*T1^6*T2^2 - 2707*T1^7*T2^2 + 594*T1^8*T2^2 - 810*T2^3 + 
     1535*T1*T2^3 + 9731*T1^2*T2^3 - 32508*T1^3*T2^3 + 20094*T1^4*T2^3 + 
     20094*T1^5*T2^3 - 32508*T1^6*T2^3 + 9731*T1^7*T2^3 + 1535*T1^8*T2^3 - 
     810*T1^9*T2^3 + 594*T2^4 + 1535*T1*T2^4 - 17377*T1^2*T2^4 + 
     20094*T1^3*T2^4 + 48586*T1^4*T2^4 - 97534*T1^5*T2^4 + 48586*T1^6*T2^4 + 
     20094*T1^7*T2^4 - 17377*T1^8*T2^4 + 1535*T1^9*T2^4 + 594*T1^10*T2^4 - 
     213*T2^5 - 2707*T1*T2^5 + 9731*T1^2*T2^5 + 20094*T1^3*T2^5 - 
     97534*T1^4*T2^5 + 62952*T1^5*T2^5 + 62952*T1^6*T2^5 - 97534*T1^7*T2^5 + 
     20094*T1^8*T2^5 + 9731*T1^9*T2^5 - 2707*T1^10*T2^5 - 213*T1^11*T2^5 + 
     30*T2^6 + 1300*T1*T2^6 + 1605*T1^2*T2^6 - 32508*T1^3*T2^6 + 
     48586*T1^4*T2^6 + 62952*T1^5*T2^6 - 145872*T1^6*T2^6 + 62952*T1^7*T2^6 + 
     48586*T1^8*T2^6 - 32508*T1^9*T2^6 + 1605*T1^10*T2^6 + 1300*T1^11*T2^6 + 
     30*T1^12*T2^6 - 213*T1*T2^7 - 2707*T1^2*T2^7 + 9731*T1^3*T2^7 + 
     20094*T1^4*T2^7 - 97534*T1^5*T2^7 + 62952*T1^6*T2^7 + 62952*T1^7*T2^7 - 
     97534*T1^8*T2^7 + 20094*T1^9*T2^7 + 9731*T1^10*T2^7 - 2707*T1^11*T2^7 - 
     213*T1^12*T2^7 + 594*T1^2*T2^8 + 1535*T1^3*T2^8 - 17377*T1^4*T2^8 + 
     20094*T1^5*T2^8 + 48586*T1^6*T2^8 - 97534*T1^7*T2^8 + 48586*T1^8*T2^8 + 
     20094*T1^9*T2^8 - 17377*T1^10*T2^8 + 1535*T1^11*T2^8 + 594*T1^12*T2^8 - 
     810*T1^3*T2^9 + 1535*T1^4*T2^9 + 9731*T1^5*T2^9 - 32508*T1^6*T2^9 + 
     20094*T1^7*T2^9 + 20094*T1^8*T2^9 - 32508*T1^9*T2^9 + 9731*T1^10*T2^9 + 
     1535*T1^11*T2^9 - 810*T1^12*T2^9 + 594*T1^4*T2^10 - 2707*T1^5*T2^10 + 
     1605*T1^6*T2^10 + 9731*T1^7*T2^10 - 17377*T1^8*T2^10 + 9731*T1^9*T2^10 + 
     1605*T1^10*T2^10 - 2707*T1^11*T2^10 + 594*T1^12*T2^10 - 213*T1^5*T2^11 + 
     1300*T1^6*T2^11 - 2707*T1^7*T2^11 + 1535*T1^8*T2^11 + 1535*T1^9*T2^11 - 
     2707*T1^10*T2^11 + 1300*T1^11*T2^11 - 213*T1^12*T2^11 + 30*T1^6*T2^12 - 
     213*T1^7*T2^12 + 594*T1^8*T2^12 - 810*T1^9*T2^12 + 594*T1^10*T2^12 - 
     213*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 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), -((9 - 35*T1 + 69*T1^2 - 103*T1^3 + 115*T1^4 - 103*T1^5 + 
      69*T1^6 - 35*T1^7 + 9*T1^8 - 35*T2 + 102*T1*T2 - 134*T1^2*T2 + 
      134*T1^3*T2 - 48*T1^4*T2 - 48*T1^5*T2 + 134*T1^6*T2 - 134*T1^7*T2 + 
      102*T1^8*T2 - 35*T1^9*T2 + 69*T2^2 - 134*T1*T2^2 + 66*T1^2*T2^2 - 
      2*T1^3*T2^2 - 180*T1^4*T2^2 + 214*T1^5*T2^2 - 180*T1^6*T2^2 - 
      2*T1^7*T2^2 + 66*T1^8*T2^2 - 134*T1^9*T2^2 + 69*T1^10*T2^2 - 103*T2^3 + 
      134*T1*T2^3 - 2*T1^2*T2^3 + 38*T1^3*T2^3 + 168*T1^4*T2^3 - 
      34*T1^5*T2^3 - 34*T1^6*T2^3 + 168*T1^7*T2^3 + 38*T1^8*T2^3 - 
      2*T1^9*T2^3 + 134*T1^10*T2^3 - 103*T1^11*T2^3 + 115*T2^4 - 48*T1*T2^4 - 
      180*T1^2*T2^4 + 168*T1^3*T2^4 - 682*T1^4*T2^4 + 494*T1^5*T2^4 - 
      564*T1^6*T2^4 + 494*T1^7*T2^4 - 682*T1^8*T2^4 + 168*T1^9*T2^4 - 
      180*T1^10*T2^4 - 48*T1^11*T2^4 + 115*T1^12*T2^4 - 103*T2^5 - 
      48*T1*T2^5 + 214*T1^2*T2^5 - 34*T1^3*T2^5 + 494*T1^4*T2^5 + 
      152*T1^5*T2^5 + 8*T1^6*T2^5 + 8*T1^7*T2^5 + 152*T1^8*T2^5 + 
      494*T1^9*T2^5 - 34*T1^10*T2^5 + 214*T1^11*T2^5 - 48*T1^12*T2^5 - 
      103*T1^13*T2^5 + 69*T2^6 + 134*T1*T2^6 - 180*T1^2*T2^6 - 34*T1^3*T2^6 - 
      564*T1^4*T2^6 + 8*T1^5*T2^6 - 822*T1^6*T2^6 + 894*T1^7*T2^6 - 
      822*T1^8*T2^6 + 8*T1^9*T2^6 - 564*T1^10*T2^6 - 34*T1^11*T2^6 - 
      180*T1^12*T2^6 + 134*T1^13*T2^6 + 69*T1^14*T2^6 - 35*T2^7 - 
      134*T1*T2^7 - 2*T1^2*T2^7 + 168*T1^3*T2^7 + 494*T1^4*T2^7 + 
      8*T1^5*T2^7 + 894*T1^6*T2^7 - 264*T1^7*T2^7 - 264*T1^8*T2^7 + 
      894*T1^9*T2^7 + 8*T1^10*T2^7 + 494*T1^11*T2^7 + 168*T1^12*T2^7 - 
      2*T1^13*T2^7 - 134*T1^14*T2^7 - 35*T1^15*T2^7 + 9*T2^8 + 102*T1*T2^8 + 
      66*T1^2*T2^8 + 38*T1^3*T2^8 - 682*T1^4*T2^8 + 152*T1^5*T2^8 - 
      822*T1^6*T2^8 - 264*T1^7*T2^8 + 408*T1^8*T2^8 - 264*T1^9*T2^8 - 
      822*T1^10*T2^8 + 152*T1^11*T2^8 - 682*T1^12*T2^8 + 38*T1^13*T2^8 + 
      66*T1^14*T2^8 + 102*T1^15*T2^8 + 9*T1^16*T2^8 - 35*T1*T2^9 - 
      134*T1^2*T2^9 - 2*T1^3*T2^9 + 168*T1^4*T2^9 + 494*T1^5*T2^9 + 
      8*T1^6*T2^9 + 894*T1^7*T2^9 - 264*T1^8*T2^9 - 264*T1^9*T2^9 + 
      894*T1^10*T2^9 + 8*T1^11*T2^9 + 494*T1^12*T2^9 + 168*T1^13*T2^9 - 
      2*T1^14*T2^9 - 134*T1^15*T2^9 - 35*T1^16*T2^9 + 69*T1^2*T2^10 + 
      134*T1^3*T2^10 - 180*T1^4*T2^10 - 34*T1^5*T2^10 - 564*T1^6*T2^10 + 
      8*T1^7*T2^10 - 822*T1^8*T2^10 + 894*T1^9*T2^10 - 822*T1^10*T2^10 + 
      8*T1^11*T2^10 - 564*T1^12*T2^10 - 34*T1^13*T2^10 - 180*T1^14*T2^10 + 
      134*T1^15*T2^10 + 69*T1^16*T2^10 - 103*T1^3*T2^11 - 48*T1^4*T2^11 + 
      214*T1^5*T2^11 - 34*T1^6*T2^11 + 494*T1^7*T2^11 + 152*T1^8*T2^11 + 
      8*T1^9*T2^11 + 8*T1^10*T2^11 + 152*T1^11*T2^11 + 494*T1^12*T2^11 - 
      34*T1^13*T2^11 + 214*T1^14*T2^11 - 48*T1^15*T2^11 - 103*T1^16*T2^11 + 
      115*T1^4*T2^12 - 48*T1^5*T2^12 - 180*T1^6*T2^12 + 168*T1^7*T2^12 - 
      682*T1^8*T2^12 + 494*T1^9*T2^12 - 564*T1^10*T2^12 + 494*T1^11*T2^12 - 
      682*T1^12*T2^12 + 168*T1^13*T2^12 - 180*T1^14*T2^12 - 48*T1^15*T2^12 + 
      115*T1^16*T2^12 - 103*T1^5*T2^13 + 134*T1^6*T2^13 - 2*T1^7*T2^13 + 
      38*T1^8*T2^13 + 168*T1^9*T2^13 - 34*T1^10*T2^13 - 34*T1^11*T2^13 + 
      168*T1^12*T2^13 + 38*T1^13*T2^13 - 2*T1^14*T2^13 + 134*T1^15*T2^13 - 
      103*T1^16*T2^13 + 69*T1^6*T2^14 - 134*T1^7*T2^14 + 66*T1^8*T2^14 - 
      2*T1^9*T2^14 - 180*T1^10*T2^14 + 214*T1^11*T2^14 - 180*T1^12*T2^14 - 
      2*T1^13*T2^14 + 66*T1^14*T2^14 - 134*T1^15*T2^14 + 69*T1^16*T2^14 - 
      35*T1^7*T2^15 + 102*T1^8*T2^15 - 134*T1^9*T2^15 + 134*T1^10*T2^15 - 
      48*T1^11*T2^15 - 48*T1^12*T2^15 + 134*T1^13*T2^15 - 134*T1^14*T2^15 + 
      102*T1^15*T2^15 - 35*T1^16*T2^15 + 9*T1^8*T2^16 - 35*T1^9*T2^16 + 
      69*T1^10*T2^16 - 103*T1^11*T2^16 + 115*T1^12*T2^16 - 103*T1^13*T2^16 + 
      69*T1^14*T2^16 - 35*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 1024] -> 
  {-((4 - 17*T + 33*T^2 - 41*T^3 + 33*T^4 - 17*T^5 + 4*T^6)/T^3), 
   -((16 - 60*T1 + 112*T1^2 - 144*T1^3 + 112*T1^4 - 60*T1^5 + 16*T1^6 - 
      60*T2 + 166*T1*T2 - 196*T1^2*T2 + 120*T1^3*T2 + 120*T1^4*T2 - 
      196*T1^5*T2 + 166*T1^6*T2 - 60*T1^7*T2 + 112*T2^2 - 196*T1*T2^2 + 
      92*T1^2*T2^2 - 58*T1^3*T2^2 - 140*T1^4*T2^2 - 58*T1^5*T2^2 + 
      92*T1^6*T2^2 - 196*T1^7*T2^2 + 112*T1^8*T2^2 - 144*T2^3 + 120*T1*T2^3 - 
      58*T1^2*T2^3 + 548*T1^3*T2^3 - 114*T1^4*T2^3 - 114*T1^5*T2^3 + 
      548*T1^6*T2^3 - 58*T1^7*T2^3 + 120*T1^8*T2^3 - 144*T1^9*T2^3 + 
      112*T2^4 + 120*T1*T2^4 - 140*T1^2*T2^4 - 114*T1^3*T2^4 - 
      2311*T1^4*T2^4 + 3111*T1^5*T2^4 - 2311*T1^6*T2^4 - 114*T1^7*T2^4 - 
      140*T1^8*T2^4 + 120*T1^9*T2^4 + 112*T1^10*T2^4 - 60*T2^5 - 
      196*T1*T2^5 - 58*T1^2*T2^5 - 114*T1^3*T2^5 + 3111*T1^4*T2^5 - 
      1426*T1^5*T2^5 - 1426*T1^6*T2^5 + 3111*T1^7*T2^5 - 114*T1^8*T2^5 - 
      58*T1^9*T2^5 - 196*T1^10*T2^5 - 60*T1^11*T2^5 + 16*T2^6 + 166*T1*T2^6 + 
      92*T1^2*T2^6 + 548*T1^3*T2^6 - 2311*T1^4*T2^6 - 1426*T1^5*T2^6 + 
      2880*T1^6*T2^6 - 1426*T1^7*T2^6 - 2311*T1^8*T2^6 + 548*T1^9*T2^6 + 
      92*T1^10*T2^6 + 166*T1^11*T2^6 + 16*T1^12*T2^6 - 60*T1*T2^7 - 
      196*T1^2*T2^7 - 58*T1^3*T2^7 - 114*T1^4*T2^7 + 3111*T1^5*T2^7 - 
      1426*T1^6*T2^7 - 1426*T1^7*T2^7 + 3111*T1^8*T2^7 - 114*T1^9*T2^7 - 
      58*T1^10*T2^7 - 196*T1^11*T2^7 - 60*T1^12*T2^7 + 112*T1^2*T2^8 + 
      120*T1^3*T2^8 - 140*T1^4*T2^8 - 114*T1^5*T2^8 - 2311*T1^6*T2^8 + 
      3111*T1^7*T2^8 - 2311*T1^8*T2^8 - 114*T1^9*T2^8 - 140*T1^10*T2^8 + 
      120*T1^11*T2^8 + 112*T1^12*T2^8 - 144*T1^3*T2^9 + 120*T1^4*T2^9 - 
      58*T1^5*T2^9 + 548*T1^6*T2^9 - 114*T1^7*T2^9 - 114*T1^8*T2^9 + 
      548*T1^9*T2^9 - 58*T1^10*T2^9 + 120*T1^11*T2^9 - 144*T1^12*T2^9 + 
      112*T1^4*T2^10 - 196*T1^5*T2^10 + 92*T1^6*T2^10 - 58*T1^7*T2^10 - 
      140*T1^8*T2^10 - 58*T1^9*T2^10 + 92*T1^10*T2^10 - 196*T1^11*T2^10 + 
      112*T1^12*T2^10 - 60*T1^5*T2^11 + 166*T1^6*T2^11 - 196*T1^7*T2^11 + 
      120*T1^8*T2^11 + 120*T1^9*T2^11 - 196*T1^10*T2^11 + 166*T1^11*T2^11 - 
      60*T1^12*T2^11 + 16*T1^6*T2^12 - 60*T1^7*T2^12 + 112*T1^8*T2^12 - 
      144*T1^9*T2^12 + 112*T1^10*T2^12 - 60*T1^11*T2^12 + 16*T1^12*T2^12)/
     (T1^6*T2^6))}, 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), 
   (9 - 53*T1 + 134*T1^2 - 222*T1^3 + 259*T1^4 - 222*T1^5 + 134*T1^6 - 
     53*T1^7 + 9*T1^8 - 53*T2 + 260*T1*T2 - 481*T1^2*T2 + 524*T1^3*T2 - 
     221*T1^4*T2 - 221*T1^5*T2 + 524*T1^6*T2 - 481*T1^7*T2 + 260*T1^8*T2 - 
     53*T1^9*T2 + 134*T2^2 - 481*T1*T2^2 + 294*T1^2*T2^2 + 593*T1^3*T2^2 - 
     1964*T1^4*T2^2 + 2532*T1^5*T2^2 - 1964*T1^6*T2^2 + 593*T1^7*T2^2 + 
     294*T1^8*T2^2 - 481*T1^9*T2^2 + 134*T1^10*T2^2 - 222*T2^3 + 
     524*T1*T2^3 + 593*T1^2*T2^3 - 2050*T1^3*T2^3 + 2973*T1^4*T2^3 - 
     1267*T1^5*T2^3 - 1267*T1^6*T2^3 + 2973*T1^7*T2^3 - 2050*T1^8*T2^3 + 
     593*T1^9*T2^3 + 524*T1^10*T2^3 - 222*T1^11*T2^3 + 259*T2^4 - 
     221*T1*T2^4 - 1964*T1^2*T2^4 + 2973*T1^3*T2^4 - 2802*T1^4*T2^4 - 
     453*T1^5*T2^4 + 1634*T1^6*T2^4 - 453*T1^7*T2^4 - 2802*T1^8*T2^4 + 
     2973*T1^9*T2^4 - 1964*T1^10*T2^4 - 221*T1^11*T2^4 + 259*T1^12*T2^4 - 
     222*T2^5 - 221*T1*T2^5 + 2532*T1^2*T2^5 - 1267*T1^3*T2^5 - 
     453*T1^4*T2^5 + 4066*T1^5*T2^5 - 1730*T1^6*T2^5 - 1730*T1^7*T2^5 + 
     4066*T1^8*T2^5 - 453*T1^9*T2^5 - 1267*T1^10*T2^5 + 2532*T1^11*T2^5 - 
     221*T1^12*T2^5 - 222*T1^13*T2^5 + 134*T2^6 + 524*T1*T2^6 - 
     1964*T1^2*T2^6 - 1267*T1^3*T2^6 + 1634*T1^4*T2^6 - 1730*T1^5*T2^6 - 
     5525*T1^6*T2^6 + 7931*T1^7*T2^6 - 5525*T1^8*T2^6 - 1730*T1^9*T2^6 + 
     1634*T1^10*T2^6 - 1267*T1^11*T2^6 - 1964*T1^12*T2^6 + 524*T1^13*T2^6 + 
     134*T1^14*T2^6 - 53*T2^7 - 481*T1*T2^7 + 593*T1^2*T2^7 + 
     2973*T1^3*T2^7 - 453*T1^4*T2^7 - 1730*T1^5*T2^7 + 7931*T1^6*T2^7 - 
     3310*T1^7*T2^7 - 3310*T1^8*T2^7 + 7931*T1^9*T2^7 - 1730*T1^10*T2^7 - 
     453*T1^11*T2^7 + 2973*T1^12*T2^7 + 593*T1^13*T2^7 - 481*T1^14*T2^7 - 
     53*T1^15*T2^7 + 9*T2^8 + 260*T1*T2^8 + 294*T1^2*T2^8 - 2050*T1^3*T2^8 - 
     2802*T1^4*T2^8 + 4066*T1^5*T2^8 - 5525*T1^6*T2^8 - 3310*T1^7*T2^8 + 
     6216*T1^8*T2^8 - 3310*T1^9*T2^8 - 5525*T1^10*T2^8 + 4066*T1^11*T2^8 - 
     2802*T1^12*T2^8 - 2050*T1^13*T2^8 + 294*T1^14*T2^8 + 260*T1^15*T2^8 + 
     9*T1^16*T2^8 - 53*T1*T2^9 - 481*T1^2*T2^9 + 593*T1^3*T2^9 + 
     2973*T1^4*T2^9 - 453*T1^5*T2^9 - 1730*T1^6*T2^9 + 7931*T1^7*T2^9 - 
     3310*T1^8*T2^9 - 3310*T1^9*T2^9 + 7931*T1^10*T2^9 - 1730*T1^11*T2^9 - 
     453*T1^12*T2^9 + 2973*T1^13*T2^9 + 593*T1^14*T2^9 - 481*T1^15*T2^9 - 
     53*T1^16*T2^9 + 134*T1^2*T2^10 + 524*T1^3*T2^10 - 1964*T1^4*T2^10 - 
     1267*T1^5*T2^10 + 1634*T1^6*T2^10 - 1730*T1^7*T2^10 - 5525*T1^8*T2^10 + 
     7931*T1^9*T2^10 - 5525*T1^10*T2^10 - 1730*T1^11*T2^10 + 
     1634*T1^12*T2^10 - 1267*T1^13*T2^10 - 1964*T1^14*T2^10 + 
     524*T1^15*T2^10 + 134*T1^16*T2^10 - 222*T1^3*T2^11 - 221*T1^4*T2^11 + 
     2532*T1^5*T2^11 - 1267*T1^6*T2^11 - 453*T1^7*T2^11 + 4066*T1^8*T2^11 - 
     1730*T1^9*T2^11 - 1730*T1^10*T2^11 + 4066*T1^11*T2^11 - 
     453*T1^12*T2^11 - 1267*T1^13*T2^11 + 2532*T1^14*T2^11 - 
     221*T1^15*T2^11 - 222*T1^16*T2^11 + 259*T1^4*T2^12 - 221*T1^5*T2^12 - 
     1964*T1^6*T2^12 + 2973*T1^7*T2^12 - 2802*T1^8*T2^12 - 453*T1^9*T2^12 + 
     1634*T1^10*T2^12 - 453*T1^11*T2^12 - 2802*T1^12*T2^12 + 
     2973*T1^13*T2^12 - 1964*T1^14*T2^12 - 221*T1^15*T2^12 + 
     259*T1^16*T2^12 - 222*T1^5*T2^13 + 524*T1^6*T2^13 + 593*T1^7*T2^13 - 
     2050*T1^8*T2^13 + 2973*T1^9*T2^13 - 1267*T1^10*T2^13 - 
     1267*T1^11*T2^13 + 2973*T1^12*T2^13 - 2050*T1^13*T2^13 + 
     593*T1^14*T2^13 + 524*T1^15*T2^13 - 222*T1^16*T2^13 + 134*T1^6*T2^14 - 
     481*T1^7*T2^14 + 294*T1^8*T2^14 + 593*T1^9*T2^14 - 1964*T1^10*T2^14 + 
     2532*T1^11*T2^14 - 1964*T1^12*T2^14 + 593*T1^13*T2^14 + 
     294*T1^14*T2^14 - 481*T1^15*T2^14 + 134*T1^16*T2^14 - 53*T1^7*T2^15 + 
     260*T1^8*T2^15 - 481*T1^9*T2^15 + 524*T1^10*T2^15 - 221*T1^11*T2^15 - 
     221*T1^12*T2^15 + 524*T1^13*T2^15 - 481*T1^14*T2^15 + 260*T1^15*T2^15 - 
     53*T1^16*T2^15 + 9*T1^8*T2^16 - 53*T1^9*T2^16 + 134*T1^10*T2^16 - 
     222*T1^11*T2^16 + 259*T1^12*T2^16 - 222*T1^13*T2^16 + 134*T1^14*T2^16 - 
     53*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 1026] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(3 - 5*T + 3*T^2))/T^3), 
   (9 - 49*T1 + 106*T1^2 - 137*T1^3 + 106*T1^4 - 49*T1^5 + 9*T1^6 - 49*T2 + 
     218*T1*T2 - 311*T1^2*T2 + 169*T1^3*T2 + 169*T1^4*T2 - 311*T1^5*T2 + 
     218*T1^6*T2 - 49*T1^7*T2 + 106*T2^2 - 311*T1*T2^2 - 110*T1^2*T2^2 + 
     964*T1^3*T2^2 - 1578*T1^4*T2^2 + 964*T1^5*T2^2 - 110*T1^6*T2^2 - 
     311*T1^7*T2^2 + 106*T1^8*T2^2 - 137*T2^3 + 169*T1*T2^3 + 964*T1^2*T2^3 - 
     1506*T1^3*T2^3 + 981*T1^4*T2^3 + 981*T1^5*T2^3 - 1506*T1^6*T2^3 + 
     964*T1^7*T2^3 + 169*T1^8*T2^3 - 137*T1^9*T2^3 + 106*T2^4 + 169*T1*T2^4 - 
     1578*T1^2*T2^4 + 981*T1^3*T2^4 - 740*T1^4*T2^4 - 104*T1^5*T2^4 - 
     740*T1^6*T2^4 + 981*T1^7*T2^4 - 1578*T1^8*T2^4 + 169*T1^9*T2^4 + 
     106*T1^10*T2^4 - 49*T2^5 - 311*T1*T2^5 + 964*T1^2*T2^5 + 981*T1^3*T2^5 - 
     104*T1^4*T2^5 + 386*T1^5*T2^5 + 386*T1^6*T2^5 - 104*T1^7*T2^5 + 
     981*T1^8*T2^5 + 964*T1^9*T2^5 - 311*T1^10*T2^5 - 49*T1^11*T2^5 + 
     9*T2^6 + 218*T1*T2^6 - 110*T1^2*T2^6 - 1506*T1^3*T2^6 - 740*T1^4*T2^6 + 
     386*T1^5*T2^6 - 948*T1^6*T2^6 + 386*T1^7*T2^6 - 740*T1^8*T2^6 - 
     1506*T1^9*T2^6 - 110*T1^10*T2^6 + 218*T1^11*T2^6 + 9*T1^12*T2^6 - 
     49*T1*T2^7 - 311*T1^2*T2^7 + 964*T1^3*T2^7 + 981*T1^4*T2^7 - 
     104*T1^5*T2^7 + 386*T1^6*T2^7 + 386*T1^7*T2^7 - 104*T1^8*T2^7 + 
     981*T1^9*T2^7 + 964*T1^10*T2^7 - 311*T1^11*T2^7 - 49*T1^12*T2^7 + 
     106*T1^2*T2^8 + 169*T1^3*T2^8 - 1578*T1^4*T2^8 + 981*T1^5*T2^8 - 
     740*T1^6*T2^8 - 104*T1^7*T2^8 - 740*T1^8*T2^8 + 981*T1^9*T2^8 - 
     1578*T1^10*T2^8 + 169*T1^11*T2^8 + 106*T1^12*T2^8 - 137*T1^3*T2^9 + 
     169*T1^4*T2^9 + 964*T1^5*T2^9 - 1506*T1^6*T2^9 + 981*T1^7*T2^9 + 
     981*T1^8*T2^9 - 1506*T1^9*T2^9 + 964*T1^10*T2^9 + 169*T1^11*T2^9 - 
     137*T1^12*T2^9 + 106*T1^4*T2^10 - 311*T1^5*T2^10 - 110*T1^6*T2^10 + 
     964*T1^7*T2^10 - 1578*T1^8*T2^10 + 964*T1^9*T2^10 - 110*T1^10*T2^10 - 
     311*T1^11*T2^10 + 106*T1^12*T2^10 - 49*T1^5*T2^11 + 218*T1^6*T2^11 - 
     311*T1^7*T2^11 + 169*T1^8*T2^11 + 169*T1^9*T2^11 - 311*T1^10*T2^11 + 
     218*T1^11*T2^11 - 49*T1^12*T2^11 + 9*T1^6*T2^12 - 49*T1^7*T2^12 + 
     106*T1^8*T2^12 - 137*T1^9*T2^12 + 106*T1^10*T2^12 - 49*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, 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, -((1 - 3*T1 + 6*T1^2 - 10*T1^3 + 14*T1^4 - 15*T1^5 + 
      14*T1^6 - 10*T1^7 + 6*T1^8 - 3*T1^9 + T1^10 - 3*T2 + 6*T1*T2 - 
      9*T1^2*T2 + 12*T1^3*T2 - 12*T1^4*T2 + 3*T1^5*T2 + 3*T1^6*T2 - 
      12*T1^7*T2 + 12*T1^8*T2 - 9*T1^9*T2 + 6*T1^10*T2 - 3*T1^11*T2 + 
      6*T2^2 - 9*T1*T2^2 + 14*T1^2*T2^2 - 21*T1^3*T2^2 + 25*T1^4*T2^2 - 
      16*T1^5*T2^2 + 22*T1^6*T2^2 - 16*T1^7*T2^2 + 25*T1^8*T2^2 - 
      21*T1^9*T2^2 + 14*T1^10*T2^2 - 9*T1^11*T2^2 + 6*T1^12*T2^2 - 10*T2^3 + 
      12*T1*T2^3 - 21*T1^2*T2^3 + 30*T1^3*T2^3 - 32*T1^4*T2^3 + 9*T1^5*T2^3 - 
      13*T1^6*T2^3 - 13*T1^7*T2^3 + 9*T1^8*T2^3 - 32*T1^9*T2^3 + 
      30*T1^10*T2^3 - 21*T1^11*T2^3 + 12*T1^12*T2^3 - 10*T1^13*T2^3 + 
      14*T2^4 - 12*T1*T2^4 + 25*T1^2*T2^4 - 32*T1^3*T2^4 + 33*T1^4*T2^4 + 
      22*T1^6*T2^4 + 5*T1^7*T2^4 + 22*T1^8*T2^4 + 33*T1^10*T2^4 - 
      32*T1^11*T2^4 + 25*T1^12*T2^4 - 12*T1^13*T2^4 + 14*T1^14*T2^4 - 
      15*T2^5 + 3*T1*T2^5 - 16*T1^2*T2^5 + 9*T1^3*T2^5 - 42*T1^5*T2^5 - 
      7*T1^6*T2^5 - 25*T1^7*T2^5 - 25*T1^8*T2^5 - 7*T1^9*T2^5 - 
      42*T1^10*T2^5 + 9*T1^12*T2^5 - 16*T1^13*T2^5 + 3*T1^14*T2^5 - 
      15*T1^15*T2^5 + 14*T2^6 + 3*T1*T2^6 + 22*T1^2*T2^6 - 13*T1^3*T2^6 + 
      22*T1^4*T2^6 - 7*T1^5*T2^6 + 88*T1^6*T2^6 - 34*T1^7*T2^6 + 
      94*T1^8*T2^6 - 34*T1^9*T2^6 + 88*T1^10*T2^6 - 7*T1^11*T2^6 + 
      22*T1^12*T2^6 - 13*T1^13*T2^6 + 22*T1^14*T2^6 + 3*T1^15*T2^6 + 
      14*T1^16*T2^6 - 10*T2^7 - 12*T1*T2^7 - 16*T1^2*T2^7 - 13*T1^3*T2^7 + 
      5*T1^4*T2^7 - 25*T1^5*T2^7 - 34*T1^6*T2^7 - 58*T1^7*T2^7 - 
      30*T1^8*T2^7 - 30*T1^9*T2^7 - 58*T1^10*T2^7 - 34*T1^11*T2^7 - 
      25*T1^12*T2^7 + 5*T1^13*T2^7 - 13*T1^14*T2^7 - 16*T1^15*T2^7 - 
      12*T1^16*T2^7 - 10*T1^17*T2^7 + 6*T2^8 + 12*T1*T2^8 + 25*T1^2*T2^8 + 
      9*T1^3*T2^8 + 22*T1^4*T2^8 - 25*T1^5*T2^8 + 94*T1^6*T2^8 - 
      30*T1^7*T2^8 + 177*T1^8*T2^8 - 105*T1^9*T2^8 + 177*T1^10*T2^8 - 
      30*T1^11*T2^8 + 94*T1^12*T2^8 - 25*T1^13*T2^8 + 22*T1^14*T2^8 + 
      9*T1^15*T2^8 + 25*T1^16*T2^8 + 12*T1^17*T2^8 + 6*T1^18*T2^8 - 3*T2^9 - 
      9*T1*T2^9 - 21*T1^2*T2^9 - 32*T1^3*T2^9 - 7*T1^5*T2^9 - 34*T1^6*T2^9 - 
      30*T1^7*T2^9 - 105*T1^8*T2^9 - 26*T1^9*T2^9 - 26*T1^10*T2^9 - 
      105*T1^11*T2^9 - 30*T1^12*T2^9 - 34*T1^13*T2^9 - 7*T1^14*T2^9 - 
      32*T1^16*T2^9 - 21*T1^17*T2^9 - 9*T1^18*T2^9 - 3*T1^19*T2^9 + T2^10 + 
      6*T1*T2^10 + 14*T1^2*T2^10 + 30*T1^3*T2^10 + 33*T1^4*T2^10 - 
      42*T1^5*T2^10 + 88*T1^6*T2^10 - 58*T1^7*T2^10 + 177*T1^8*T2^10 - 
      26*T1^9*T2^10 + 108*T1^10*T2^10 - 26*T1^11*T2^10 + 177*T1^12*T2^10 - 
      58*T1^13*T2^10 + 88*T1^14*T2^10 - 42*T1^15*T2^10 + 33*T1^16*T2^10 + 
      30*T1^17*T2^10 + 14*T1^18*T2^10 + 6*T1^19*T2^10 + T1^20*T2^10 - 
      3*T1*T2^11 - 9*T1^2*T2^11 - 21*T1^3*T2^11 - 32*T1^4*T2^11 - 
      7*T1^6*T2^11 - 34*T1^7*T2^11 - 30*T1^8*T2^11 - 105*T1^9*T2^11 - 
      26*T1^10*T2^11 - 26*T1^11*T2^11 - 105*T1^12*T2^11 - 30*T1^13*T2^11 - 
      34*T1^14*T2^11 - 7*T1^15*T2^11 - 32*T1^17*T2^11 - 21*T1^18*T2^11 - 
      9*T1^19*T2^11 - 3*T1^20*T2^11 + 6*T1^2*T2^12 + 12*T1^3*T2^12 + 
      25*T1^4*T2^12 + 9*T1^5*T2^12 + 22*T1^6*T2^12 - 25*T1^7*T2^12 + 
      94*T1^8*T2^12 - 30*T1^9*T2^12 + 177*T1^10*T2^12 - 105*T1^11*T2^12 + 
      177*T1^12*T2^12 - 30*T1^13*T2^12 + 94*T1^14*T2^12 - 25*T1^15*T2^12 + 
      22*T1^16*T2^12 + 9*T1^17*T2^12 + 25*T1^18*T2^12 + 12*T1^19*T2^12 + 
      6*T1^20*T2^12 - 10*T1^3*T2^13 - 12*T1^4*T2^13 - 16*T1^5*T2^13 - 
      13*T1^6*T2^13 + 5*T1^7*T2^13 - 25*T1^8*T2^13 - 34*T1^9*T2^13 - 
      58*T1^10*T2^13 - 30*T1^11*T2^13 - 30*T1^12*T2^13 - 58*T1^13*T2^13 - 
      34*T1^14*T2^13 - 25*T1^15*T2^13 + 5*T1^16*T2^13 - 13*T1^17*T2^13 - 
      16*T1^18*T2^13 - 12*T1^19*T2^13 - 10*T1^20*T2^13 + 14*T1^4*T2^14 + 
      3*T1^5*T2^14 + 22*T1^6*T2^14 - 13*T1^7*T2^14 + 22*T1^8*T2^14 - 
      7*T1^9*T2^14 + 88*T1^10*T2^14 - 34*T1^11*T2^14 + 94*T1^12*T2^14 - 
      34*T1^13*T2^14 + 88*T1^14*T2^14 - 7*T1^15*T2^14 + 22*T1^16*T2^14 - 
      13*T1^17*T2^14 + 22*T1^18*T2^14 + 3*T1^19*T2^14 + 14*T1^20*T2^14 - 
      15*T1^5*T2^15 + 3*T1^6*T2^15 - 16*T1^7*T2^15 + 9*T1^8*T2^15 - 
      42*T1^10*T2^15 - 7*T1^11*T2^15 - 25*T1^12*T2^15 - 25*T1^13*T2^15 - 
      7*T1^14*T2^15 - 42*T1^15*T2^15 + 9*T1^17*T2^15 - 16*T1^18*T2^15 + 
      3*T1^19*T2^15 - 15*T1^20*T2^15 + 14*T1^6*T2^16 - 12*T1^7*T2^16 + 
      25*T1^8*T2^16 - 32*T1^9*T2^16 + 33*T1^10*T2^16 + 22*T1^12*T2^16 + 
      5*T1^13*T2^16 + 22*T1^14*T2^16 + 33*T1^16*T2^16 - 32*T1^17*T2^16 + 
      25*T1^18*T2^16 - 12*T1^19*T2^16 + 14*T1^20*T2^16 - 10*T1^7*T2^17 + 
      12*T1^8*T2^17 - 21*T1^9*T2^17 + 30*T1^10*T2^17 - 32*T1^11*T2^17 + 
      9*T1^12*T2^17 - 13*T1^13*T2^17 - 13*T1^14*T2^17 + 9*T1^15*T2^17 - 
      32*T1^16*T2^17 + 30*T1^17*T2^17 - 21*T1^18*T2^17 + 12*T1^19*T2^17 - 
      10*T1^20*T2^17 + 6*T1^8*T2^18 - 9*T1^9*T2^18 + 14*T1^10*T2^18 - 
      21*T1^11*T2^18 + 25*T1^12*T2^18 - 16*T1^13*T2^18 + 22*T1^14*T2^18 - 
      16*T1^15*T2^18 + 25*T1^16*T2^18 - 21*T1^17*T2^18 + 14*T1^18*T2^18 - 
      9*T1^19*T2^18 + 6*T1^20*T2^18 - 3*T1^9*T2^19 + 6*T1^10*T2^19 - 
      9*T1^11*T2^19 + 12*T1^12*T2^19 - 12*T1^13*T2^19 + 3*T1^14*T2^19 + 
      3*T1^15*T2^19 - 12*T1^16*T2^19 + 12*T1^17*T2^19 - 9*T1^18*T2^19 + 
      6*T1^19*T2^19 - 3*T1^20*T2^19 + T1^10*T2^20 - 3*T1^11*T2^20 + 
      6*T1^12*T2^20 - 10*T1^13*T2^20 + 14*T1^14*T2^20 - 15*T1^15*T2^20 + 
      14*T1^16*T2^20 - 10*T1^17*T2^20 + 6*T1^18*T2^20 - 3*T1^19*T2^20 + 
      T1^20*T2^20)/(T1^10*T2^10))}, 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, -((1 - 3*T1 + 6*T1^2 - 9*T1^3 + 11*T1^4 - 9*T1^5 + 6*T1^6 - 3*T1^7 + 
      T1^8 - 3*T2 + 6*T1*T2 - 9*T1^2*T2 + 9*T1^3*T2 - 6*T1^4*T2 - 6*T1^5*T2 + 
      9*T1^6*T2 - 9*T1^7*T2 + 6*T1^8*T2 - 3*T1^9*T2 + 6*T2^2 - 9*T1*T2^2 + 
      13*T1^2*T2^2 - 14*T1^3*T2^2 + 28*T1^4*T2^2 - 29*T1^5*T2^2 + 
      28*T1^6*T2^2 - 14*T1^7*T2^2 + 13*T1^8*T2^2 - 9*T1^9*T2^2 + 
      6*T1^10*T2^2 - 9*T2^3 + 9*T1*T2^3 - 14*T1^2*T2^3 + 14*T1^3*T2^3 - 
      58*T1^4*T2^3 + 35*T1^5*T2^3 + 35*T1^6*T2^3 - 58*T1^7*T2^3 + 
      14*T1^8*T2^3 - 14*T1^9*T2^3 + 9*T1^10*T2^3 - 9*T1^11*T2^3 + 11*T2^4 - 
      6*T1*T2^4 + 28*T1^2*T2^4 - 58*T1^3*T2^4 + 190*T1^4*T2^4 - 
      132*T1^5*T2^4 + 44*T1^6*T2^4 - 132*T1^7*T2^4 + 190*T1^8*T2^4 - 
      58*T1^9*T2^4 + 28*T1^10*T2^4 - 6*T1^11*T2^4 + 11*T1^12*T2^4 - 9*T2^5 - 
      6*T1*T2^5 - 29*T1^2*T2^5 + 35*T1^3*T2^5 - 132*T1^4*T2^5 - 
      96*T1^5*T2^5 + 116*T1^6*T2^5 + 116*T1^7*T2^5 - 96*T1^8*T2^5 - 
      132*T1^9*T2^5 + 35*T1^10*T2^5 - 29*T1^11*T2^5 - 6*T1^12*T2^5 - 
      9*T1^13*T2^5 + 6*T2^6 + 9*T1*T2^6 + 28*T1^2*T2^6 + 35*T1^3*T2^6 + 
      44*T1^4*T2^6 + 116*T1^5*T2^6 + 203*T1^6*T2^6 - 449*T1^7*T2^6 + 
      203*T1^8*T2^6 + 116*T1^9*T2^6 + 44*T1^10*T2^6 + 35*T1^11*T2^6 + 
      28*T1^12*T2^6 + 9*T1^13*T2^6 + 6*T1^14*T2^6 - 3*T2^7 - 9*T1*T2^7 - 
      14*T1^2*T2^7 - 58*T1^3*T2^7 - 132*T1^4*T2^7 + 116*T1^5*T2^7 - 
      449*T1^6*T2^7 + 244*T1^7*T2^7 + 244*T1^8*T2^7 - 449*T1^9*T2^7 + 
      116*T1^10*T2^7 - 132*T1^11*T2^7 - 58*T1^12*T2^7 - 14*T1^13*T2^7 - 
      9*T1^14*T2^7 - 3*T1^15*T2^7 + T2^8 + 6*T1*T2^8 + 13*T1^2*T2^8 + 
      14*T1^3*T2^8 + 190*T1^4*T2^8 - 96*T1^5*T2^8 + 203*T1^6*T2^8 + 
      244*T1^7*T2^8 - 468*T1^8*T2^8 + 244*T1^9*T2^8 + 203*T1^10*T2^8 - 
      96*T1^11*T2^8 + 190*T1^12*T2^8 + 14*T1^13*T2^8 + 13*T1^14*T2^8 + 
      6*T1^15*T2^8 + T1^16*T2^8 - 3*T1*T2^9 - 9*T1^2*T2^9 - 14*T1^3*T2^9 - 
      58*T1^4*T2^9 - 132*T1^5*T2^9 + 116*T1^6*T2^9 - 449*T1^7*T2^9 + 
      244*T1^8*T2^9 + 244*T1^9*T2^9 - 449*T1^10*T2^9 + 116*T1^11*T2^9 - 
      132*T1^12*T2^9 - 58*T1^13*T2^9 - 14*T1^14*T2^9 - 9*T1^15*T2^9 - 
      3*T1^16*T2^9 + 6*T1^2*T2^10 + 9*T1^3*T2^10 + 28*T1^4*T2^10 + 
      35*T1^5*T2^10 + 44*T1^6*T2^10 + 116*T1^7*T2^10 + 203*T1^8*T2^10 - 
      449*T1^9*T2^10 + 203*T1^10*T2^10 + 116*T1^11*T2^10 + 44*T1^12*T2^10 + 
      35*T1^13*T2^10 + 28*T1^14*T2^10 + 9*T1^15*T2^10 + 6*T1^16*T2^10 - 
      9*T1^3*T2^11 - 6*T1^4*T2^11 - 29*T1^5*T2^11 + 35*T1^6*T2^11 - 
      132*T1^7*T2^11 - 96*T1^8*T2^11 + 116*T1^9*T2^11 + 116*T1^10*T2^11 - 
      96*T1^11*T2^11 - 132*T1^12*T2^11 + 35*T1^13*T2^11 - 29*T1^14*T2^11 - 
      6*T1^15*T2^11 - 9*T1^16*T2^11 + 11*T1^4*T2^12 - 6*T1^5*T2^12 + 
      28*T1^6*T2^12 - 58*T1^7*T2^12 + 190*T1^8*T2^12 - 132*T1^9*T2^12 + 
      44*T1^10*T2^12 - 132*T1^11*T2^12 + 190*T1^12*T2^12 - 58*T1^13*T2^12 + 
      28*T1^14*T2^12 - 6*T1^15*T2^12 + 11*T1^16*T2^12 - 9*T1^5*T2^13 + 
      9*T1^6*T2^13 - 14*T1^7*T2^13 + 14*T1^8*T2^13 - 58*T1^9*T2^13 + 
      35*T1^10*T2^13 + 35*T1^11*T2^13 - 58*T1^12*T2^13 + 14*T1^13*T2^13 - 
      14*T1^14*T2^13 + 9*T1^15*T2^13 - 9*T1^16*T2^13 + 6*T1^6*T2^14 - 
      9*T1^7*T2^14 + 13*T1^8*T2^14 - 14*T1^9*T2^14 + 28*T1^10*T2^14 - 
      29*T1^11*T2^14 + 28*T1^12*T2^14 - 14*T1^13*T2^14 + 13*T1^14*T2^14 - 
      9*T1^15*T2^14 + 6*T1^16*T2^14 - 3*T1^7*T2^15 + 6*T1^8*T2^15 - 
      9*T1^9*T2^15 + 9*T1^10*T2^15 - 6*T1^11*T2^15 - 6*T1^12*T2^15 + 
      9*T1^13*T2^15 - 9*T1^14*T2^15 + 6*T1^15*T2^15 - 3*T1^16*T2^15 + 
      T1^8*T2^16 - 3*T1^9*T2^16 + 6*T1^10*T2^16 - 9*T1^11*T2^16 + 
      11*T1^12*T2^16 - 9*T1^13*T2^16 + 6*T1^14*T2^16 - 3*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, 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, 
   -((1 - 3*T1 + 5*T1^2 - 7*T1^3 + 9*T1^4 - 7*T1^5 + 5*T1^6 - 3*T1^7 + T1^8 - 
      3*T2 + 6*T1*T2 - 6*T1^2*T2 + 6*T1^3*T2 - 6*T1^4*T2 - 6*T1^5*T2 + 
      6*T1^6*T2 - 6*T1^7*T2 + 6*T1^8*T2 - 3*T1^9*T2 + 5*T2^2 - 6*T1*T2^2 + 
      3*T1^2*T2^2 - 5*T1^3*T2^2 + 11*T1^4*T2^2 + 3*T1^5*T2^2 + 11*T1^6*T2^2 - 
      5*T1^7*T2^2 + 3*T1^8*T2^2 - 6*T1^9*T2^2 + 5*T1^10*T2^2 - 7*T2^3 + 
      6*T1*T2^3 - 5*T1^2*T2^3 + 12*T1^3*T2^3 - 24*T1^4*T2^3 - 4*T1^5*T2^3 - 
      4*T1^6*T2^3 - 24*T1^7*T2^3 + 12*T1^8*T2^3 - 5*T1^9*T2^3 + 
      6*T1^10*T2^3 - 7*T1^11*T2^3 + 9*T2^4 - 6*T1*T2^4 + 11*T1^2*T2^4 - 
      24*T1^3*T2^4 + 53*T1^4*T2^4 - 15*T1^5*T2^4 + 35*T1^6*T2^4 - 
      15*T1^7*T2^4 + 53*T1^8*T2^4 - 24*T1^9*T2^4 + 11*T1^10*T2^4 - 
      6*T1^11*T2^4 + 9*T1^12*T2^4 - 7*T2^5 - 6*T1*T2^5 + 3*T1^2*T2^5 - 
      4*T1^3*T2^5 - 15*T1^4*T2^5 - 50*T1^5*T2^5 - 4*T1^6*T2^5 - 4*T1^7*T2^5 - 
      50*T1^8*T2^5 - 15*T1^9*T2^5 - 4*T1^10*T2^5 + 3*T1^11*T2^5 - 
      6*T1^12*T2^5 - 7*T1^13*T2^5 + 5*T2^6 + 6*T1*T2^6 + 11*T1^2*T2^6 - 
      4*T1^3*T2^6 + 35*T1^4*T2^6 - 4*T1^5*T2^6 + 109*T1^6*T2^6 - 
      63*T1^7*T2^6 + 109*T1^8*T2^6 - 4*T1^9*T2^6 + 35*T1^10*T2^6 - 
      4*T1^11*T2^6 + 11*T1^12*T2^6 + 6*T1^13*T2^6 + 5*T1^14*T2^6 - 3*T2^7 - 
      6*T1*T2^7 - 5*T1^2*T2^7 - 24*T1^3*T2^7 - 15*T1^4*T2^7 - 4*T1^5*T2^7 - 
      63*T1^6*T2^7 - 42*T1^7*T2^7 - 42*T1^8*T2^7 - 63*T1^9*T2^7 - 
      4*T1^10*T2^7 - 15*T1^11*T2^7 - 24*T1^12*T2^7 - 5*T1^13*T2^7 - 
      6*T1^14*T2^7 - 3*T1^15*T2^7 + T2^8 + 6*T1*T2^8 + 3*T1^2*T2^8 + 
      12*T1^3*T2^8 + 53*T1^4*T2^8 - 50*T1^5*T2^8 + 109*T1^6*T2^8 - 
      42*T1^7*T2^8 + 168*T1^8*T2^8 - 42*T1^9*T2^8 + 109*T1^10*T2^8 - 
      50*T1^11*T2^8 + 53*T1^12*T2^8 + 12*T1^13*T2^8 + 3*T1^14*T2^8 + 
      6*T1^15*T2^8 + T1^16*T2^8 - 3*T1*T2^9 - 6*T1^2*T2^9 - 5*T1^3*T2^9 - 
      24*T1^4*T2^9 - 15*T1^5*T2^9 - 4*T1^6*T2^9 - 63*T1^7*T2^9 - 
      42*T1^8*T2^9 - 42*T1^9*T2^9 - 63*T1^10*T2^9 - 4*T1^11*T2^9 - 
      15*T1^12*T2^9 - 24*T1^13*T2^9 - 5*T1^14*T2^9 - 6*T1^15*T2^9 - 
      3*T1^16*T2^9 + 5*T1^2*T2^10 + 6*T1^3*T2^10 + 11*T1^4*T2^10 - 
      4*T1^5*T2^10 + 35*T1^6*T2^10 - 4*T1^7*T2^10 + 109*T1^8*T2^10 - 
      63*T1^9*T2^10 + 109*T1^10*T2^10 - 4*T1^11*T2^10 + 35*T1^12*T2^10 - 
      4*T1^13*T2^10 + 11*T1^14*T2^10 + 6*T1^15*T2^10 + 5*T1^16*T2^10 - 
      7*T1^3*T2^11 - 6*T1^4*T2^11 + 3*T1^5*T2^11 - 4*T1^6*T2^11 - 
      15*T1^7*T2^11 - 50*T1^8*T2^11 - 4*T1^9*T2^11 - 4*T1^10*T2^11 - 
      50*T1^11*T2^11 - 15*T1^12*T2^11 - 4*T1^13*T2^11 + 3*T1^14*T2^11 - 
      6*T1^15*T2^11 - 7*T1^16*T2^11 + 9*T1^4*T2^12 - 6*T1^5*T2^12 + 
      11*T1^6*T2^12 - 24*T1^7*T2^12 + 53*T1^8*T2^12 - 15*T1^9*T2^12 + 
      35*T1^10*T2^12 - 15*T1^11*T2^12 + 53*T1^12*T2^12 - 24*T1^13*T2^12 + 
      11*T1^14*T2^12 - 6*T1^15*T2^12 + 9*T1^16*T2^12 - 7*T1^5*T2^13 + 
      6*T1^6*T2^13 - 5*T1^7*T2^13 + 12*T1^8*T2^13 - 24*T1^9*T2^13 - 
      4*T1^10*T2^13 - 4*T1^11*T2^13 - 24*T1^12*T2^13 + 12*T1^13*T2^13 - 
      5*T1^14*T2^13 + 6*T1^15*T2^13 - 7*T1^16*T2^13 + 5*T1^6*T2^14 - 
      6*T1^7*T2^14 + 3*T1^8*T2^14 - 5*T1^9*T2^14 + 11*T1^10*T2^14 + 
      3*T1^11*T2^14 + 11*T1^12*T2^14 - 5*T1^13*T2^14 + 3*T1^14*T2^14 - 
      6*T1^15*T2^14 + 5*T1^16*T2^14 - 3*T1^7*T2^15 + 6*T1^8*T2^15 - 
      6*T1^9*T2^15 + 6*T1^10*T2^15 - 6*T1^11*T2^15 - 6*T1^12*T2^15 + 
      6*T1^13*T2^15 - 6*T1^14*T2^15 + 6*T1^15*T2^15 - 3*T1^16*T2^15 + 
      T1^8*T2^16 - 3*T1^9*T2^16 + 5*T1^10*T2^16 - 7*T1^11*T2^16 + 
      9*T1^12*T2^16 - 7*T1^13*T2^16 + 5*T1^14*T2^16 - 3*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 1030] -> 
  {(4 - 13*T + 19*T^2 - 19*T^3 + 19*T^4 - 13*T^5 + 4*T^6)/T^3, 
   (48 - 156*T1 + 224*T1^2 - 224*T1^3 + 224*T1^4 - 156*T1^5 + 48*T1^6 - 
     156*T2 + 350*T1*T2 - 220*T1^2*T2 - 220*T1^5*T2 + 350*T1^6*T2 - 
     156*T1^7*T2 + 224*T2^2 - 220*T1*T2^2 - 435*T1^2*T2^2 + 785*T1^3*T2^2 - 
     567*T1^4*T2^2 + 785*T1^5*T2^2 - 435*T1^6*T2^2 - 220*T1^7*T2^2 + 
     224*T1^8*T2^2 - 224*T2^3 + 785*T1^2*T2^3 - 658*T1^3*T2^3 - 2*T1^4*T2^3 - 
     2*T1^5*T2^3 - 658*T1^6*T2^3 + 785*T1^7*T2^3 - 224*T1^9*T2^3 + 224*T2^4 - 
     567*T1^2*T2^4 - 2*T1^3*T2^4 + 727*T1^4*T2^4 - 647*T1^5*T2^4 + 
     727*T1^6*T2^4 - 2*T1^7*T2^4 - 567*T1^8*T2^4 + 224*T1^10*T2^4 - 
     156*T2^5 - 220*T1*T2^5 + 785*T1^2*T2^5 - 2*T1^3*T2^5 - 647*T1^4*T2^5 + 
     274*T1^5*T2^5 + 274*T1^6*T2^5 - 647*T1^7*T2^5 - 2*T1^8*T2^5 + 
     785*T1^9*T2^5 - 220*T1^10*T2^5 - 156*T1^11*T2^5 + 48*T2^6 + 
     350*T1*T2^6 - 435*T1^2*T2^6 - 658*T1^3*T2^6 + 727*T1^4*T2^6 + 
     274*T1^5*T2^6 - 780*T1^6*T2^6 + 274*T1^7*T2^6 + 727*T1^8*T2^6 - 
     658*T1^9*T2^6 - 435*T1^10*T2^6 + 350*T1^11*T2^6 + 48*T1^12*T2^6 - 
     156*T1*T2^7 - 220*T1^2*T2^7 + 785*T1^3*T2^7 - 2*T1^4*T2^7 - 
     647*T1^5*T2^7 + 274*T1^6*T2^7 + 274*T1^7*T2^7 - 647*T1^8*T2^7 - 
     2*T1^9*T2^7 + 785*T1^10*T2^7 - 220*T1^11*T2^7 - 156*T1^12*T2^7 + 
     224*T1^2*T2^8 - 567*T1^4*T2^8 - 2*T1^5*T2^8 + 727*T1^6*T2^8 - 
     647*T1^7*T2^8 + 727*T1^8*T2^8 - 2*T1^9*T2^8 - 567*T1^10*T2^8 + 
     224*T1^12*T2^8 - 224*T1^3*T2^9 + 785*T1^5*T2^9 - 658*T1^6*T2^9 - 
     2*T1^7*T2^9 - 2*T1^8*T2^9 - 658*T1^9*T2^9 + 785*T1^10*T2^9 - 
     224*T1^12*T2^9 + 224*T1^4*T2^10 - 220*T1^5*T2^10 - 435*T1^6*T2^10 + 
     785*T1^7*T2^10 - 567*T1^8*T2^10 + 785*T1^9*T2^10 - 435*T1^10*T2^10 - 
     220*T1^11*T2^10 + 224*T1^12*T2^10 - 156*T1^5*T2^11 + 350*T1^6*T2^11 - 
     220*T1^7*T2^11 - 220*T1^10*T2^11 + 350*T1^11*T2^11 - 156*T1^12*T2^11 + 
     48*T1^6*T2^12 - 156*T1^7*T2^12 + 224*T1^8*T2^12 - 224*T1^9*T2^12 + 
     224*T1^10*T2^12 - 156*T1^11*T2^12 + 48*T1^12*T2^12)/(T1^6*T2^6)}, 
 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, -((15 - 53*T1 + 98*T1^2 - 128*T1^3 + 143*T1^4 - 128*T1^5 + 98*T1^6 - 
      53*T1^7 + 15*T1^8 - 53*T2 + 134*T1*T2 - 159*T1^2*T2 + 106*T1^3*T2 - 
      53*T1^4*T2 - 53*T1^5*T2 + 106*T1^6*T2 - 159*T1^7*T2 + 134*T1^8*T2 - 
      53*T1^9*T2 + 98*T2^2 - 159*T1*T2^2 + 65*T1^2*T2^2 + 88*T1^3*T2^2 - 
      106*T1^4*T2^2 + 201*T1^5*T2^2 - 106*T1^6*T2^2 + 88*T1^7*T2^2 + 
      65*T1^8*T2^2 - 159*T1^9*T2^2 + 98*T1^10*T2^2 - 128*T2^3 + 106*T1*T2^3 + 
      88*T1^2*T2^3 - 196*T1^3*T2^3 + 48*T1^4*T2^3 - 112*T1^5*T2^3 - 
      112*T1^6*T2^3 + 48*T1^7*T2^3 - 196*T1^8*T2^3 + 88*T1^9*T2^3 + 
      106*T1^10*T2^3 - 128*T1^11*T2^3 + 143*T2^4 - 53*T1*T2^4 - 
      106*T1^2*T2^4 + 48*T1^3*T2^4 + 213*T1^4*T2^4 - 64*T1^5*T2^4 + 
      293*T1^6*T2^4 - 64*T1^7*T2^4 + 213*T1^8*T2^4 + 48*T1^9*T2^4 - 
      106*T1^10*T2^4 - 53*T1^11*T2^4 + 143*T1^12*T2^4 - 128*T2^5 - 
      53*T1*T2^5 + 201*T1^2*T2^5 - 112*T1^3*T2^5 - 64*T1^4*T2^5 - 
      188*T1^5*T2^5 - 110*T1^6*T2^5 - 110*T1^7*T2^5 - 188*T1^8*T2^5 - 
      64*T1^9*T2^5 - 112*T1^10*T2^5 + 201*T1^11*T2^5 - 53*T1^12*T2^5 - 
      128*T1^13*T2^5 + 98*T2^6 + 106*T1*T2^6 - 106*T1^2*T2^6 - 
      112*T1^3*T2^6 + 293*T1^4*T2^6 - 110*T1^5*T2^6 + 480*T1^6*T2^6 - 
      210*T1^7*T2^6 + 480*T1^8*T2^6 - 110*T1^9*T2^6 + 293*T1^10*T2^6 - 
      112*T1^11*T2^6 - 106*T1^12*T2^6 + 106*T1^13*T2^6 + 98*T1^14*T2^6 - 
      53*T2^7 - 159*T1*T2^7 + 88*T1^2*T2^7 + 48*T1^3*T2^7 - 64*T1^4*T2^7 - 
      110*T1^5*T2^7 - 210*T1^6*T2^7 - 128*T1^7*T2^7 - 128*T1^8*T2^7 - 
      210*T1^9*T2^7 - 110*T1^10*T2^7 - 64*T1^11*T2^7 + 48*T1^12*T2^7 + 
      88*T1^13*T2^7 - 159*T1^14*T2^7 - 53*T1^15*T2^7 + 15*T2^8 + 
      134*T1*T2^8 + 65*T1^2*T2^8 - 196*T1^3*T2^8 + 213*T1^4*T2^8 - 
      188*T1^5*T2^8 + 480*T1^6*T2^8 - 128*T1^7*T2^8 + 408*T1^8*T2^8 - 
      128*T1^9*T2^8 + 480*T1^10*T2^8 - 188*T1^11*T2^8 + 213*T1^12*T2^8 - 
      196*T1^13*T2^8 + 65*T1^14*T2^8 + 134*T1^15*T2^8 + 15*T1^16*T2^8 - 
      53*T1*T2^9 - 159*T1^2*T2^9 + 88*T1^3*T2^9 + 48*T1^4*T2^9 - 
      64*T1^5*T2^9 - 110*T1^6*T2^9 - 210*T1^7*T2^9 - 128*T1^8*T2^9 - 
      128*T1^9*T2^9 - 210*T1^10*T2^9 - 110*T1^11*T2^9 - 64*T1^12*T2^9 + 
      48*T1^13*T2^9 + 88*T1^14*T2^9 - 159*T1^15*T2^9 - 53*T1^16*T2^9 + 
      98*T1^2*T2^10 + 106*T1^3*T2^10 - 106*T1^4*T2^10 - 112*T1^5*T2^10 + 
      293*T1^6*T2^10 - 110*T1^7*T2^10 + 480*T1^8*T2^10 - 210*T1^9*T2^10 + 
      480*T1^10*T2^10 - 110*T1^11*T2^10 + 293*T1^12*T2^10 - 112*T1^13*T2^10 - 
      106*T1^14*T2^10 + 106*T1^15*T2^10 + 98*T1^16*T2^10 - 128*T1^3*T2^11 - 
      53*T1^4*T2^11 + 201*T1^5*T2^11 - 112*T1^6*T2^11 - 64*T1^7*T2^11 - 
      188*T1^8*T2^11 - 110*T1^9*T2^11 - 110*T1^10*T2^11 - 188*T1^11*T2^11 - 
      64*T1^12*T2^11 - 112*T1^13*T2^11 + 201*T1^14*T2^11 - 53*T1^15*T2^11 - 
      128*T1^16*T2^11 + 143*T1^4*T2^12 - 53*T1^5*T2^12 - 106*T1^6*T2^12 + 
      48*T1^7*T2^12 + 213*T1^8*T2^12 - 64*T1^9*T2^12 + 293*T1^10*T2^12 - 
      64*T1^11*T2^12 + 213*T1^12*T2^12 + 48*T1^13*T2^12 - 106*T1^14*T2^12 - 
      53*T1^15*T2^12 + 143*T1^16*T2^12 - 128*T1^5*T2^13 + 106*T1^6*T2^13 + 
      88*T1^7*T2^13 - 196*T1^8*T2^13 + 48*T1^9*T2^13 - 112*T1^10*T2^13 - 
      112*T1^11*T2^13 + 48*T1^12*T2^13 - 196*T1^13*T2^13 + 88*T1^14*T2^13 + 
      106*T1^15*T2^13 - 128*T1^16*T2^13 + 98*T1^6*T2^14 - 159*T1^7*T2^14 + 
      65*T1^8*T2^14 + 88*T1^9*T2^14 - 106*T1^10*T2^14 + 201*T1^11*T2^14 - 
      106*T1^12*T2^14 + 88*T1^13*T2^14 + 65*T1^14*T2^14 - 159*T1^15*T2^14 + 
      98*T1^16*T2^14 - 53*T1^7*T2^15 + 134*T1^8*T2^15 - 159*T1^9*T2^15 + 
      106*T1^10*T2^15 - 53*T1^11*T2^15 - 53*T1^12*T2^15 + 106*T1^13*T2^15 - 
      159*T1^14*T2^15 + 134*T1^15*T2^15 - 53*T1^16*T2^15 + 15*T1^8*T2^16 - 
      53*T1^9*T2^16 + 98*T1^10*T2^16 - 128*T1^11*T2^16 + 143*T1^12*T2^16 - 
      128*T1^13*T2^16 + 98*T1^14*T2^16 - 53*T1^15*T2^16 + 15*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 1032] -> 
  {(4 - 16*T + 31*T^2 - 37*T^3 + 31*T^4 - 16*T^5 + 4*T^6)/T^3, 
   -((64 - 256*T1 + 492*T1^2 - 584*T1^3 + 492*T1^4 - 256*T1^5 + 64*T1^6 - 
      256*T2 + 768*T1*T2 - 946*T1^2*T2 + 370*T1^3*T2 + 370*T1^4*T2 - 
      946*T1^5*T2 + 768*T1^6*T2 - 256*T1^7*T2 + 492*T2^2 - 946*T1*T2^2 + 
      122*T1^2*T2^2 + 1667*T1^3*T2^2 - 2194*T1^4*T2^2 + 1667*T1^5*T2^2 + 
      122*T1^6*T2^2 - 946*T1^7*T2^2 + 492*T1^8*T2^2 - 584*T2^3 + 
      370*T1*T2^3 + 1667*T1^2*T2^3 - 3252*T1^3*T2^3 + 1258*T1^4*T2^3 + 
      1258*T1^5*T2^3 - 3252*T1^6*T2^3 + 1667*T1^7*T2^3 + 370*T1^8*T2^3 - 
      584*T1^9*T2^3 + 492*T2^4 + 370*T1*T2^4 - 2194*T1^2*T2^4 + 
      1258*T1^3*T2^4 + 3638*T1^4*T2^4 - 5408*T1^5*T2^4 + 3638*T1^6*T2^4 + 
      1258*T1^7*T2^4 - 2194*T1^8*T2^4 + 370*T1^9*T2^4 + 492*T1^10*T2^4 - 
      256*T2^5 - 946*T1*T2^5 + 1667*T1^2*T2^5 + 1258*T1^3*T2^5 - 
      5408*T1^4*T2^5 + 2622*T1^5*T2^5 + 2622*T1^6*T2^5 - 5408*T1^7*T2^5 + 
      1258*T1^8*T2^5 + 1667*T1^9*T2^5 - 946*T1^10*T2^5 - 256*T1^11*T2^5 + 
      64*T2^6 + 768*T1*T2^6 + 122*T1^2*T2^6 - 3252*T1^3*T2^6 + 
      3638*T1^4*T2^6 + 2622*T1^5*T2^6 - 5676*T1^6*T2^6 + 2622*T1^7*T2^6 + 
      3638*T1^8*T2^6 - 3252*T1^9*T2^6 + 122*T1^10*T2^6 + 768*T1^11*T2^6 + 
      64*T1^12*T2^6 - 256*T1*T2^7 - 946*T1^2*T2^7 + 1667*T1^3*T2^7 + 
      1258*T1^4*T2^7 - 5408*T1^5*T2^7 + 2622*T1^6*T2^7 + 2622*T1^7*T2^7 - 
      5408*T1^8*T2^7 + 1258*T1^9*T2^7 + 1667*T1^10*T2^7 - 946*T1^11*T2^7 - 
      256*T1^12*T2^7 + 492*T1^2*T2^8 + 370*T1^3*T2^8 - 2194*T1^4*T2^8 + 
      1258*T1^5*T2^8 + 3638*T1^6*T2^8 - 5408*T1^7*T2^8 + 3638*T1^8*T2^8 + 
      1258*T1^9*T2^8 - 2194*T1^10*T2^8 + 370*T1^11*T2^8 + 492*T1^12*T2^8 - 
      584*T1^3*T2^9 + 370*T1^4*T2^9 + 1667*T1^5*T2^9 - 3252*T1^6*T2^9 + 
      1258*T1^7*T2^9 + 1258*T1^8*T2^9 - 3252*T1^9*T2^9 + 1667*T1^10*T2^9 + 
      370*T1^11*T2^9 - 584*T1^12*T2^9 + 492*T1^4*T2^10 - 946*T1^5*T2^10 + 
      122*T1^6*T2^10 + 1667*T1^7*T2^10 - 2194*T1^8*T2^10 + 1667*T1^9*T2^10 + 
      122*T1^10*T2^10 - 946*T1^11*T2^10 + 492*T1^12*T2^10 - 256*T1^5*T2^11 + 
      768*T1^6*T2^11 - 946*T1^7*T2^11 + 370*T1^8*T2^11 + 370*T1^9*T2^11 - 
      946*T1^10*T2^11 + 768*T1^11*T2^11 - 256*T1^12*T2^11 + 64*T1^6*T2^12 - 
      256*T1^7*T2^12 + 492*T1^8*T2^12 - 584*T1^9*T2^12 + 492*T1^10*T2^12 - 
      256*T1^11*T2^12 + 64*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 1033] -> 
  {(4 - 14*T + 23*T^2 - 25*T^3 + 23*T^4 - 14*T^5 + 4*T^6)/T^3, 
   -((64 - 228*T1 + 372*T1^2 - 400*T1^3 + 372*T1^4 - 228*T1^5 + 64*T1^6 - 
      228*T2 + 582*T1*T2 - 512*T1^2*T2 + 100*T1^3*T2 + 100*T1^4*T2 - 
      512*T1^5*T2 + 582*T1^6*T2 - 228*T1^7*T2 + 372*T2^2 - 512*T1*T2^2 - 
      395*T1^2*T2^2 + 1251*T1^3*T2^2 - 1047*T1^4*T2^2 + 1251*T1^5*T2^2 - 
      395*T1^6*T2^2 - 512*T1^7*T2^2 + 372*T1^8*T2^2 - 400*T2^3 + 
      100*T1*T2^3 + 1251*T1^2*T2^3 - 1414*T1^3*T2^3 + 76*T1^4*T2^3 + 
      76*T1^5*T2^3 - 1414*T1^6*T2^3 + 1251*T1^7*T2^3 + 100*T1^8*T2^3 - 
      400*T1^9*T2^3 + 372*T2^4 + 100*T1*T2^4 - 1047*T1^2*T2^4 + 
      76*T1^3*T2^4 + 1730*T1^4*T2^4 - 1366*T1^5*T2^4 + 1730*T1^6*T2^4 + 
      76*T1^7*T2^4 - 1047*T1^8*T2^4 + 100*T1^9*T2^4 + 372*T1^10*T2^4 - 
      228*T2^5 - 512*T1*T2^5 + 1251*T1^2*T2^5 + 76*T1^3*T2^5 - 
      1366*T1^4*T2^5 + 154*T1^5*T2^5 + 154*T1^6*T2^5 - 1366*T1^7*T2^5 + 
      76*T1^8*T2^5 + 1251*T1^9*T2^5 - 512*T1^10*T2^5 - 228*T1^11*T2^5 + 
      64*T2^6 + 582*T1*T2^6 - 395*T1^2*T2^6 - 1414*T1^3*T2^6 + 
      1730*T1^4*T2^6 + 154*T1^5*T2^6 - 156*T1^6*T2^6 + 154*T1^7*T2^6 + 
      1730*T1^8*T2^6 - 1414*T1^9*T2^6 - 395*T1^10*T2^6 + 582*T1^11*T2^6 + 
      64*T1^12*T2^6 - 228*T1*T2^7 - 512*T1^2*T2^7 + 1251*T1^3*T2^7 + 
      76*T1^4*T2^7 - 1366*T1^5*T2^7 + 154*T1^6*T2^7 + 154*T1^7*T2^7 - 
      1366*T1^8*T2^7 + 76*T1^9*T2^7 + 1251*T1^10*T2^7 - 512*T1^11*T2^7 - 
      228*T1^12*T2^7 + 372*T1^2*T2^8 + 100*T1^3*T2^8 - 1047*T1^4*T2^8 + 
      76*T1^5*T2^8 + 1730*T1^6*T2^8 - 1366*T1^7*T2^8 + 1730*T1^8*T2^8 + 
      76*T1^9*T2^8 - 1047*T1^10*T2^8 + 100*T1^11*T2^8 + 372*T1^12*T2^8 - 
      400*T1^3*T2^9 + 100*T1^4*T2^9 + 1251*T1^5*T2^9 - 1414*T1^6*T2^9 + 
      76*T1^7*T2^9 + 76*T1^8*T2^9 - 1414*T1^9*T2^9 + 1251*T1^10*T2^9 + 
      100*T1^11*T2^9 - 400*T1^12*T2^9 + 372*T1^4*T2^10 - 512*T1^5*T2^10 - 
      395*T1^6*T2^10 + 1251*T1^7*T2^10 - 1047*T1^8*T2^10 + 1251*T1^9*T2^10 - 
      395*T1^10*T2^10 - 512*T1^11*T2^10 + 372*T1^12*T2^10 - 228*T1^5*T2^11 + 
      582*T1^6*T2^11 - 512*T1^7*T2^11 + 100*T1^8*T2^11 + 100*T1^9*T2^11 - 
      512*T1^10*T2^11 + 582*T1^11*T2^11 - 228*T1^12*T2^11 + 64*T1^6*T2^12 - 
      228*T1^7*T2^12 + 372*T1^8*T2^12 - 400*T1^9*T2^12 + 372*T1^10*T2^12 - 
      228*T1^11*T2^12 + 64*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 1034] -> {((4 - 5*T + 2*T^2)*(2 - 5*T + 4*T^2))/T^2, 
   -((64 - 272*T1 + 432*T1^2 - 272*T1^3 + 64*T1^4 - 272*T2 + 860*T1*T2 - 
      656*T1^2*T2 - 656*T1^3*T2 + 860*T1^4*T2 - 272*T1^5*T2 + 432*T2^2 - 
      656*T1*T2^2 - 1335*T1^2*T2^2 + 3629*T1^3*T2^2 - 1335*T1^4*T2^2 - 
      656*T1^5*T2^2 + 432*T1^6*T2^2 - 272*T2^3 - 656*T1*T2^3 + 
      3629*T1^2*T2^3 - 3238*T1^3*T2^3 - 3238*T1^4*T2^3 + 3629*T1^5*T2^3 - 
      656*T1^6*T2^3 - 272*T1^7*T2^3 + 64*T2^4 + 860*T1*T2^4 - 
      1335*T1^2*T2^4 - 3238*T1^3*T2^4 + 8664*T1^4*T2^4 - 3238*T1^5*T2^4 - 
      1335*T1^6*T2^4 + 860*T1^7*T2^4 + 64*T1^8*T2^4 - 272*T1*T2^5 - 
      656*T1^2*T2^5 + 3629*T1^3*T2^5 - 3238*T1^4*T2^5 - 3238*T1^5*T2^5 + 
      3629*T1^6*T2^5 - 656*T1^7*T2^5 - 272*T1^8*T2^5 + 432*T1^2*T2^6 - 
      656*T1^3*T2^6 - 1335*T1^4*T2^6 + 3629*T1^5*T2^6 - 1335*T1^6*T2^6 - 
      656*T1^7*T2^6 + 432*T1^8*T2^6 - 272*T1^3*T2^7 + 860*T1^4*T2^7 - 
      656*T1^5*T2^7 - 656*T1^6*T2^7 + 860*T1^7*T2^7 - 272*T1^8*T2^7 + 
      64*T1^4*T2^8 - 272*T1^5*T2^8 + 432*T1^6*T2^8 - 272*T1^7*T2^8 + 
      64*T1^8*T2^8)/(T1^4*T2^4))}, Knot[12, Alternating, 1035] -> 
  {(7 - 21*T + 32*T^2 - 35*T^3 + 32*T^4 - 21*T^5 + 7*T^6)/T^3, 
   (1120 - 3304*T1 + 5000*T1^2 - 5454*T1^3 + 5000*T1^4 - 3304*T1^5 + 
     1120*T1^6 - 3304*T2 + 6480*T1*T2 - 5051*T1^2*T2 + 1359*T1^3*T2 + 
     1359*T1^4*T2 - 5051*T1^5*T2 + 6480*T1^6*T2 - 3304*T1^7*T2 + 5000*T2^2 - 
     5051*T1*T2^2 - 1905*T1^2*T2^2 + 5758*T1^3*T2^2 - 4607*T1^4*T2^2 + 
     5758*T1^5*T2^2 - 1905*T1^6*T2^2 - 5051*T1^7*T2^2 + 5000*T1^8*T2^2 - 
     5454*T2^3 + 1359*T1*T2^3 + 5758*T1^2*T2^3 - 3596*T1^3*T2^3 - 
     1018*T1^4*T2^3 - 1018*T1^5*T2^3 - 3596*T1^6*T2^3 + 5758*T1^7*T2^3 + 
     1359*T1^8*T2^3 - 5454*T1^9*T2^3 + 5000*T2^4 + 1359*T1*T2^4 - 
     4607*T1^2*T2^4 - 1018*T1^3*T2^4 + 3067*T1^4*T2^4 + 1393*T1^5*T2^4 + 
     3067*T1^6*T2^4 - 1018*T1^7*T2^4 - 4607*T1^8*T2^4 + 1359*T1^9*T2^4 + 
     5000*T1^10*T2^4 - 3304*T2^5 - 5051*T1*T2^5 + 5758*T1^2*T2^5 - 
     1018*T1^3*T2^5 + 1393*T1^4*T2^5 - 3456*T1^5*T2^5 - 3456*T1^6*T2^5 + 
     1393*T1^7*T2^5 - 1018*T1^8*T2^5 + 5758*T1^9*T2^5 - 5051*T1^10*T2^5 - 
     3304*T1^11*T2^5 + 1120*T2^6 + 6480*T1*T2^6 - 1905*T1^2*T2^6 - 
     3596*T1^3*T2^6 + 3067*T1^4*T2^6 - 3456*T1^5*T2^6 + 8820*T1^6*T2^6 - 
     3456*T1^7*T2^6 + 3067*T1^8*T2^6 - 3596*T1^9*T2^6 - 1905*T1^10*T2^6 + 
     6480*T1^11*T2^6 + 1120*T1^12*T2^6 - 3304*T1*T2^7 - 5051*T1^2*T2^7 + 
     5758*T1^3*T2^7 - 1018*T1^4*T2^7 + 1393*T1^5*T2^7 - 3456*T1^6*T2^7 - 
     3456*T1^7*T2^7 + 1393*T1^8*T2^7 - 1018*T1^9*T2^7 + 5758*T1^10*T2^7 - 
     5051*T1^11*T2^7 - 3304*T1^12*T2^7 + 5000*T1^2*T2^8 + 1359*T1^3*T2^8 - 
     4607*T1^4*T2^8 - 1018*T1^5*T2^8 + 3067*T1^6*T2^8 + 1393*T1^7*T2^8 + 
     3067*T1^8*T2^8 - 1018*T1^9*T2^8 - 4607*T1^10*T2^8 + 1359*T1^11*T2^8 + 
     5000*T1^12*T2^8 - 5454*T1^3*T2^9 + 1359*T1^4*T2^9 + 5758*T1^5*T2^9 - 
     3596*T1^6*T2^9 - 1018*T1^7*T2^9 - 1018*T1^8*T2^9 - 3596*T1^9*T2^9 + 
     5758*T1^10*T2^9 + 1359*T1^11*T2^9 - 5454*T1^12*T2^9 + 5000*T1^4*T2^10 - 
     5051*T1^5*T2^10 - 1905*T1^6*T2^10 + 5758*T1^7*T2^10 - 4607*T1^8*T2^10 + 
     5758*T1^9*T2^10 - 1905*T1^10*T2^10 - 5051*T1^11*T2^10 + 
     5000*T1^12*T2^10 - 3304*T1^5*T2^11 + 6480*T1^6*T2^11 - 5051*T1^7*T2^11 + 
     1359*T1^8*T2^11 + 1359*T1^9*T2^11 - 5051*T1^10*T2^11 + 
     6480*T1^11*T2^11 - 3304*T1^12*T2^11 + 1120*T1^6*T2^12 - 
     3304*T1^7*T2^12 + 5000*T1^8*T2^12 - 5454*T1^9*T2^12 + 5000*T1^10*T2^12 - 
     3304*T1^11*T2^12 + 1120*T1^12*T2^12)/(T1^6*T2^6)}, 
 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), -((25 - 123*T1 + 254*T1^2 - 359*T1^3 + 393*T1^4 - 359*T1^5 + 
      254*T1^6 - 123*T1^7 + 25*T1^8 - 123*T2 + 484*T1*T2 - 652*T1^2*T2 + 
      526*T1^3*T2 - 172*T1^4*T2 - 172*T1^5*T2 + 526*T1^6*T2 - 652*T1^7*T2 + 
      484*T1^8*T2 - 123*T1^9*T2 + 254*T2^2 - 652*T1*T2^2 - 119*T1^2*T2^2 + 
      1271*T1^3*T2^2 - 2200*T1^4*T2^2 + 2341*T1^5*T2^2 - 2200*T1^6*T2^2 + 
      1271*T1^7*T2^2 - 119*T1^8*T2^2 - 652*T1^9*T2^2 + 254*T1^10*T2^2 - 
      359*T2^3 + 526*T1*T2^3 + 1271*T1^2*T2^3 - 2000*T1^3*T2^3 + 
      1674*T1^4*T2^3 - 350*T1^5*T2^3 - 350*T1^6*T2^3 + 1674*T1^7*T2^3 - 
      2000*T1^8*T2^3 + 1271*T1^9*T2^3 + 526*T1^10*T2^3 - 359*T1^11*T2^3 + 
      393*T2^4 - 172*T1*T2^4 - 2200*T1^2*T2^4 + 1674*T1^3*T2^4 - 
      981*T1^4*T2^4 + 148*T1^5*T2^4 - 835*T1^6*T2^4 + 148*T1^7*T2^4 - 
      981*T1^8*T2^4 + 1674*T1^9*T2^4 - 2200*T1^10*T2^4 - 172*T1^11*T2^4 + 
      393*T1^12*T2^4 - 359*T2^5 - 172*T1*T2^5 + 2341*T1^2*T2^5 - 
      350*T1^3*T2^5 + 148*T1^4*T2^5 + 252*T1^5*T2^5 + 687*T1^6*T2^5 + 
      687*T1^7*T2^5 + 252*T1^8*T2^5 + 148*T1^9*T2^5 - 350*T1^10*T2^5 + 
      2341*T1^11*T2^5 - 172*T1^12*T2^5 - 359*T1^13*T2^5 + 254*T2^6 + 
      526*T1*T2^6 - 2200*T1^2*T2^6 - 350*T1^3*T2^6 - 835*T1^4*T2^6 + 
      687*T1^5*T2^6 - 1678*T1^6*T2^6 + 166*T1^7*T2^6 - 1678*T1^8*T2^6 + 
      687*T1^9*T2^6 - 835*T1^10*T2^6 - 350*T1^11*T2^6 - 2200*T1^12*T2^6 + 
      526*T1^13*T2^6 + 254*T1^14*T2^6 - 123*T2^7 - 652*T1*T2^7 + 
      1271*T1^2*T2^7 + 1674*T1^3*T2^7 + 148*T1^4*T2^7 + 687*T1^5*T2^7 + 
      166*T1^6*T2^7 + 1036*T1^7*T2^7 + 1036*T1^8*T2^7 + 166*T1^9*T2^7 + 
      687*T1^10*T2^7 + 148*T1^11*T2^7 + 1674*T1^12*T2^7 + 1271*T1^13*T2^7 - 
      652*T1^14*T2^7 - 123*T1^15*T2^7 + 25*T2^8 + 484*T1*T2^8 - 
      119*T1^2*T2^8 - 2000*T1^3*T2^8 - 981*T1^4*T2^8 + 252*T1^5*T2^8 - 
      1678*T1^6*T2^8 + 1036*T1^7*T2^8 - 2952*T1^8*T2^8 + 1036*T1^9*T2^8 - 
      1678*T1^10*T2^8 + 252*T1^11*T2^8 - 981*T1^12*T2^8 - 2000*T1^13*T2^8 - 
      119*T1^14*T2^8 + 484*T1^15*T2^8 + 25*T1^16*T2^8 - 123*T1*T2^9 - 
      652*T1^2*T2^9 + 1271*T1^3*T2^9 + 1674*T1^4*T2^9 + 148*T1^5*T2^9 + 
      687*T1^6*T2^9 + 166*T1^7*T2^9 + 1036*T1^8*T2^9 + 1036*T1^9*T2^9 + 
      166*T1^10*T2^9 + 687*T1^11*T2^9 + 148*T1^12*T2^9 + 1674*T1^13*T2^9 + 
      1271*T1^14*T2^9 - 652*T1^15*T2^9 - 123*T1^16*T2^9 + 254*T1^2*T2^10 + 
      526*T1^3*T2^10 - 2200*T1^4*T2^10 - 350*T1^5*T2^10 - 835*T1^6*T2^10 + 
      687*T1^7*T2^10 - 1678*T1^8*T2^10 + 166*T1^9*T2^10 - 1678*T1^10*T2^10 + 
      687*T1^11*T2^10 - 835*T1^12*T2^10 - 350*T1^13*T2^10 - 
      2200*T1^14*T2^10 + 526*T1^15*T2^10 + 254*T1^16*T2^10 - 359*T1^3*T2^11 - 
      172*T1^4*T2^11 + 2341*T1^5*T2^11 - 350*T1^6*T2^11 + 148*T1^7*T2^11 + 
      252*T1^8*T2^11 + 687*T1^9*T2^11 + 687*T1^10*T2^11 + 252*T1^11*T2^11 + 
      148*T1^12*T2^11 - 350*T1^13*T2^11 + 2341*T1^14*T2^11 - 
      172*T1^15*T2^11 - 359*T1^16*T2^11 + 393*T1^4*T2^12 - 172*T1^5*T2^12 - 
      2200*T1^6*T2^12 + 1674*T1^7*T2^12 - 981*T1^8*T2^12 + 148*T1^9*T2^12 - 
      835*T1^10*T2^12 + 148*T1^11*T2^12 - 981*T1^12*T2^12 + 
      1674*T1^13*T2^12 - 2200*T1^14*T2^12 - 172*T1^15*T2^12 + 
      393*T1^16*T2^12 - 359*T1^5*T2^13 + 526*T1^6*T2^13 + 1271*T1^7*T2^13 - 
      2000*T1^8*T2^13 + 1674*T1^9*T2^13 - 350*T1^10*T2^13 - 350*T1^11*T2^13 + 
      1674*T1^12*T2^13 - 2000*T1^13*T2^13 + 1271*T1^14*T2^13 + 
      526*T1^15*T2^13 - 359*T1^16*T2^13 + 254*T1^6*T2^14 - 652*T1^7*T2^14 - 
      119*T1^8*T2^14 + 1271*T1^9*T2^14 - 2200*T1^10*T2^14 + 
      2341*T1^11*T2^14 - 2200*T1^12*T2^14 + 1271*T1^13*T2^14 - 
      119*T1^14*T2^14 - 652*T1^15*T2^14 + 254*T1^16*T2^14 - 123*T1^7*T2^15 + 
      484*T1^8*T2^15 - 652*T1^9*T2^15 + 526*T1^10*T2^15 - 172*T1^11*T2^15 - 
      172*T1^12*T2^15 + 526*T1^13*T2^15 - 652*T1^14*T2^15 + 484*T1^15*T2^15 - 
      123*T1^16*T2^15 + 25*T1^8*T2^16 - 123*T1^9*T2^16 + 254*T1^10*T2^16 - 
      359*T1^11*T2^16 + 393*T1^12*T2^16 - 359*T1^13*T2^16 + 254*T1^14*T2^16 - 
      123*T1^15*T2^16 + 25*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 1037] -> {(14 - 46*T + 65*T^2 - 46*T^3 + 14*T^4)/T^2, 
   (6559 - 21109*T1 + 29665*T1^2 - 21109*T1^3 + 6559*T1^4 - 21109*T2 + 
     47028*T1*T2 - 27702*T1^2*T2 - 27702*T1^3*T2 + 47028*T1^4*T2 - 
     21109*T1^5*T2 + 29665*T2^2 - 27702*T1*T2^2 - 56531*T1^2*T2^2 + 
     119665*T1^3*T2^2 - 56531*T1^4*T2^2 - 27702*T1^5*T2^2 + 29665*T1^6*T2^2 - 
     21109*T2^3 - 27702*T1*T2^3 + 119665*T1^2*T2^3 - 80356*T1^3*T2^3 - 
     80356*T1^4*T2^3 + 119665*T1^5*T2^3 - 27702*T1^6*T2^3 - 21109*T1^7*T2^3 + 
     6559*T2^4 + 47028*T1*T2^4 - 56531*T1^2*T2^4 - 80356*T1^3*T2^4 + 
     189552*T1^4*T2^4 - 80356*T1^5*T2^4 - 56531*T1^6*T2^4 + 47028*T1^7*T2^4 + 
     6559*T1^8*T2^4 - 21109*T1*T2^5 - 27702*T1^2*T2^5 + 119665*T1^3*T2^5 - 
     80356*T1^4*T2^5 - 80356*T1^5*T2^5 + 119665*T1^6*T2^5 - 27702*T1^7*T2^5 - 
     21109*T1^8*T2^5 + 29665*T1^2*T2^6 - 27702*T1^3*T2^6 - 56531*T1^4*T2^6 + 
     119665*T1^5*T2^6 - 56531*T1^6*T2^6 - 27702*T1^7*T2^6 + 29665*T1^8*T2^6 - 
     21109*T1^3*T2^7 + 47028*T1^4*T2^7 - 27702*T1^5*T2^7 - 27702*T1^6*T2^7 + 
     47028*T1^7*T2^7 - 21109*T1^8*T2^7 + 6559*T1^4*T2^8 - 21109*T1^5*T2^8 + 
     29665*T1^6*T2^8 - 21109*T1^7*T2^8 + 6559*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, Alternating, 1038] -> 
  {-((4 - 21*T + 45*T^2 - 57*T^3 + 45*T^4 - 21*T^5 + 4*T^6)/T^3), 
   -((144 - 740*T1 + 1556*T1^2 - 1960*T1^3 + 1556*T1^4 - 740*T1^5 + 
      144*T1^6 - 740*T2 + 3070*T1*T2 - 4220*T1^2*T2 + 2092*T1^3*T2 + 
      2092*T1^4*T2 - 4220*T1^5*T2 + 3070*T1^6*T2 - 740*T1^7*T2 + 1556*T2^2 - 
      4220*T1*T2^2 - 1060*T1^2*T2^2 + 11961*T1^3*T2^2 - 18292*T1^4*T2^2 + 
      11961*T1^5*T2^2 - 1060*T1^6*T2^2 - 4220*T1^7*T2^2 + 1556*T1^8*T2^2 - 
      1960*T2^3 + 2092*T1*T2^3 + 11961*T1^2*T2^3 - 21482*T1^3*T2^3 + 
      11889*T1^4*T2^3 + 11889*T1^5*T2^3 - 21482*T1^6*T2^3 + 11961*T1^7*T2^3 + 
      2092*T1^8*T2^3 - 1960*T1^9*T2^3 + 1556*T2^4 + 2092*T1*T2^4 - 
      18292*T1^2*T2^4 + 11889*T1^3*T2^4 + 14055*T1^4*T2^4 - 32221*T1^5*T2^4 + 
      14055*T1^6*T2^4 + 11889*T1^7*T2^4 - 18292*T1^8*T2^4 + 2092*T1^9*T2^4 + 
      1556*T1^10*T2^4 - 740*T2^5 - 4220*T1*T2^5 + 11961*T1^2*T2^5 + 
      11889*T1^3*T2^5 - 32221*T1^4*T2^5 + 20282*T1^5*T2^5 + 20282*T1^6*T2^5 - 
      32221*T1^7*T2^5 + 11889*T1^8*T2^5 + 11961*T1^9*T2^5 - 4220*T1^10*T2^5 - 
      740*T1^11*T2^5 + 144*T2^6 + 3070*T1*T2^6 - 1060*T1^2*T2^6 - 
      21482*T1^3*T2^6 + 14055*T1^4*T2^6 + 20282*T1^5*T2^6 - 45672*T1^6*T2^6 + 
      20282*T1^7*T2^6 + 14055*T1^8*T2^6 - 21482*T1^9*T2^6 - 1060*T1^10*T2^6 + 
      3070*T1^11*T2^6 + 144*T1^12*T2^6 - 740*T1*T2^7 - 4220*T1^2*T2^7 + 
      11961*T1^3*T2^7 + 11889*T1^4*T2^7 - 32221*T1^5*T2^7 + 20282*T1^6*T2^7 + 
      20282*T1^7*T2^7 - 32221*T1^8*T2^7 + 11889*T1^9*T2^7 + 
      11961*T1^10*T2^7 - 4220*T1^11*T2^7 - 740*T1^12*T2^7 + 1556*T1^2*T2^8 + 
      2092*T1^3*T2^8 - 18292*T1^4*T2^8 + 11889*T1^5*T2^8 + 14055*T1^6*T2^8 - 
      32221*T1^7*T2^8 + 14055*T1^8*T2^8 + 11889*T1^9*T2^8 - 
      18292*T1^10*T2^8 + 2092*T1^11*T2^8 + 1556*T1^12*T2^8 - 1960*T1^3*T2^9 + 
      2092*T1^4*T2^9 + 11961*T1^5*T2^9 - 21482*T1^6*T2^9 + 11889*T1^7*T2^9 + 
      11889*T1^8*T2^9 - 21482*T1^9*T2^9 + 11961*T1^10*T2^9 + 
      2092*T1^11*T2^9 - 1960*T1^12*T2^9 + 1556*T1^4*T2^10 - 4220*T1^5*T2^10 - 
      1060*T1^6*T2^10 + 11961*T1^7*T2^10 - 18292*T1^8*T2^10 + 
      11961*T1^9*T2^10 - 1060*T1^10*T2^10 - 4220*T1^11*T2^10 + 
      1556*T1^12*T2^10 - 740*T1^5*T2^11 + 3070*T1^6*T2^11 - 4220*T1^7*T2^11 + 
      2092*T1^8*T2^11 + 2092*T1^9*T2^11 - 4220*T1^10*T2^11 + 
      3070*T1^11*T2^11 - 740*T1^12*T2^11 + 144*T1^6*T2^12 - 740*T1^7*T2^12 + 
      1556*T1^8*T2^12 - 1960*T1^9*T2^12 + 1556*T1^10*T2^12 - 
      740*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   0}, Knot[12, Alternating, 1040] -> 
  {(2 - 13*T + 27*T^2 - 31*T^3 + 27*T^4 - 13*T^5 + 2*T^6)/T^3, 
   -((7 - 45*T1 + 93*T1^2 - 107*T1^3 + 93*T1^4 - 45*T1^5 + 7*T1^6 - 45*T2 + 
      244*T1*T2 - 308*T1^2*T2 + 90*T1^3*T2 + 90*T1^4*T2 - 308*T1^5*T2 + 
      244*T1^6*T2 - 45*T1^7*T2 + 93*T2^2 - 308*T1*T2^2 - 505*T1^2*T2^2 + 
      1765*T1^3*T2^2 - 1901*T1^4*T2^2 + 1765*T1^5*T2^2 - 505*T1^6*T2^2 - 
      308*T1^7*T2^2 + 93*T1^8*T2^2 - 107*T2^3 + 90*T1*T2^3 + 1765*T1^2*T2^3 - 
      2628*T1^3*T2^3 + 634*T1^4*T2^3 + 634*T1^5*T2^3 - 2628*T1^6*T2^3 + 
      1765*T1^7*T2^3 + 90*T1^8*T2^3 - 107*T1^9*T2^3 + 93*T2^4 + 90*T1*T2^4 - 
      1901*T1^2*T2^4 + 634*T1^3*T2^4 + 3507*T1^4*T2^4 - 4073*T1^5*T2^4 + 
      3507*T1^6*T2^4 + 634*T1^7*T2^4 - 1901*T1^8*T2^4 + 90*T1^9*T2^4 + 
      93*T1^10*T2^4 - 45*T2^5 - 308*T1*T2^5 + 1765*T1^2*T2^5 + 
      634*T1^3*T2^5 - 4073*T1^4*T2^5 + 1602*T1^5*T2^5 + 1602*T1^6*T2^5 - 
      4073*T1^7*T2^5 + 634*T1^8*T2^5 + 1765*T1^9*T2^5 - 308*T1^10*T2^5 - 
      45*T1^11*T2^5 + 7*T2^6 + 244*T1*T2^6 - 505*T1^2*T2^6 - 2628*T1^3*T2^6 + 
      3507*T1^4*T2^6 + 1602*T1^5*T2^6 - 3624*T1^6*T2^6 + 1602*T1^7*T2^6 + 
      3507*T1^8*T2^6 - 2628*T1^9*T2^6 - 505*T1^10*T2^6 + 244*T1^11*T2^6 + 
      7*T1^12*T2^6 - 45*T1*T2^7 - 308*T1^2*T2^7 + 1765*T1^3*T2^7 + 
      634*T1^4*T2^7 - 4073*T1^5*T2^7 + 1602*T1^6*T2^7 + 1602*T1^7*T2^7 - 
      4073*T1^8*T2^7 + 634*T1^9*T2^7 + 1765*T1^10*T2^7 - 308*T1^11*T2^7 - 
      45*T1^12*T2^7 + 93*T1^2*T2^8 + 90*T1^3*T2^8 - 1901*T1^4*T2^8 + 
      634*T1^5*T2^8 + 3507*T1^6*T2^8 - 4073*T1^7*T2^8 + 3507*T1^8*T2^8 + 
      634*T1^9*T2^8 - 1901*T1^10*T2^8 + 90*T1^11*T2^8 + 93*T1^12*T2^8 - 
      107*T1^3*T2^9 + 90*T1^4*T2^9 + 1765*T1^5*T2^9 - 2628*T1^6*T2^9 + 
      634*T1^7*T2^9 + 634*T1^8*T2^9 - 2628*T1^9*T2^9 + 1765*T1^10*T2^9 + 
      90*T1^11*T2^9 - 107*T1^12*T2^9 + 93*T1^4*T2^10 - 308*T1^5*T2^10 - 
      505*T1^6*T2^10 + 1765*T1^7*T2^10 - 1901*T1^8*T2^10 + 1765*T1^9*T2^10 - 
      505*T1^10*T2^10 - 308*T1^11*T2^10 + 93*T1^12*T2^10 - 45*T1^5*T2^11 + 
      244*T1^6*T2^11 - 308*T1^7*T2^11 + 90*T1^8*T2^11 + 90*T1^9*T2^11 - 
      308*T1^10*T2^11 + 244*T1^11*T2^11 - 45*T1^12*T2^11 + 7*T1^6*T2^12 - 
      45*T1^7*T2^12 + 93*T1^8*T2^12 - 107*T1^9*T2^12 + 93*T1^10*T2^12 - 
      45*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, (17 - 100*T1 + 270*T1^2 - 434*T1^3 + 503*T1^4 - 434*T1^5 + 
     270*T1^6 - 100*T1^7 + 17*T1^8 - 100*T2 + 490*T1*T2 - 1008*T1^2*T2 + 
     980*T1^3*T2 - 414*T1^4*T2 - 414*T1^5*T2 + 980*T1^6*T2 - 1008*T1^7*T2 + 
     490*T1^8*T2 - 100*T1^9*T2 + 270*T2^2 - 1008*T1*T2^2 + 1110*T1^2*T2^2 + 
     912*T1^3*T2^2 - 2968*T1^4*T2^2 + 3942*T1^5*T2^2 - 2968*T1^6*T2^2 + 
     912*T1^7*T2^2 + 1110*T1^8*T2^2 - 1008*T1^9*T2^2 + 270*T1^10*T2^2 - 
     434*T2^3 + 980*T1*T2^3 + 912*T1^2*T2^3 - 5594*T1^3*T2^3 + 
     5783*T1^4*T2^3 - 2645*T1^5*T2^3 - 2645*T1^6*T2^3 + 5783*T1^7*T2^3 - 
     5594*T1^8*T2^3 + 912*T1^9*T2^3 + 980*T1^10*T2^3 - 434*T1^11*T2^3 + 
     503*T2^4 - 414*T1*T2^4 - 2968*T1^2*T2^4 + 5783*T1^3*T2^4 + 
     2604*T1^4*T2^4 - 10389*T1^5*T2^4 + 14702*T1^6*T2^4 - 10389*T1^7*T2^4 + 
     2604*T1^8*T2^4 + 5783*T1^9*T2^4 - 2968*T1^10*T2^4 - 414*T1^11*T2^4 + 
     503*T1^12*T2^4 - 434*T2^5 - 414*T1*T2^5 + 3942*T1^2*T2^5 - 
     2645*T1^3*T2^5 - 10389*T1^4*T2^5 + 11106*T1^5*T2^5 - 5850*T1^6*T2^5 - 
     5850*T1^7*T2^5 + 11106*T1^8*T2^5 - 10389*T1^9*T2^5 - 2645*T1^10*T2^5 + 
     3942*T1^11*T2^5 - 414*T1^12*T2^5 - 434*T1^13*T2^5 + 270*T2^6 + 
     980*T1*T2^6 - 2968*T1^2*T2^6 - 2645*T1^3*T2^6 + 14702*T1^4*T2^6 - 
     5850*T1^5*T2^6 - 766*T1^6*T2^6 + 6866*T1^7*T2^6 - 766*T1^8*T2^6 - 
     5850*T1^9*T2^6 + 14702*T1^10*T2^6 - 2645*T1^11*T2^6 - 2968*T1^12*T2^6 + 
     980*T1^13*T2^6 + 270*T1^14*T2^6 - 100*T2^7 - 1008*T1*T2^7 + 
     912*T1^2*T2^7 + 5783*T1^3*T2^7 - 10389*T1^4*T2^7 - 5850*T1^5*T2^7 + 
     6866*T1^6*T2^7 - 5320*T1^7*T2^7 - 5320*T1^8*T2^7 + 6866*T1^9*T2^7 - 
     5850*T1^10*T2^7 - 10389*T1^11*T2^7 + 5783*T1^12*T2^7 + 912*T1^13*T2^7 - 
     1008*T1^14*T2^7 - 100*T1^15*T2^7 + 17*T2^8 + 490*T1*T2^8 + 
     1110*T1^2*T2^8 - 5594*T1^3*T2^8 + 2604*T1^4*T2^8 + 11106*T1^5*T2^8 - 
     766*T1^6*T2^8 - 5320*T1^7*T2^8 + 12396*T1^8*T2^8 - 5320*T1^9*T2^8 - 
     766*T1^10*T2^8 + 11106*T1^11*T2^8 + 2604*T1^12*T2^8 - 5594*T1^13*T2^8 + 
     1110*T1^14*T2^8 + 490*T1^15*T2^8 + 17*T1^16*T2^8 - 100*T1*T2^9 - 
     1008*T1^2*T2^9 + 912*T1^3*T2^9 + 5783*T1^4*T2^9 - 10389*T1^5*T2^9 - 
     5850*T1^6*T2^9 + 6866*T1^7*T2^9 - 5320*T1^8*T2^9 - 5320*T1^9*T2^9 + 
     6866*T1^10*T2^9 - 5850*T1^11*T2^9 - 10389*T1^12*T2^9 + 5783*T1^13*T2^9 + 
     912*T1^14*T2^9 - 1008*T1^15*T2^9 - 100*T1^16*T2^9 + 270*T1^2*T2^10 + 
     980*T1^3*T2^10 - 2968*T1^4*T2^10 - 2645*T1^5*T2^10 + 14702*T1^6*T2^10 - 
     5850*T1^7*T2^10 - 766*T1^8*T2^10 + 6866*T1^9*T2^10 - 766*T1^10*T2^10 - 
     5850*T1^11*T2^10 + 14702*T1^12*T2^10 - 2645*T1^13*T2^10 - 
     2968*T1^14*T2^10 + 980*T1^15*T2^10 + 270*T1^16*T2^10 - 434*T1^3*T2^11 - 
     414*T1^4*T2^11 + 3942*T1^5*T2^11 - 2645*T1^6*T2^11 - 10389*T1^7*T2^11 + 
     11106*T1^8*T2^11 - 5850*T1^9*T2^11 - 5850*T1^10*T2^11 + 
     11106*T1^11*T2^11 - 10389*T1^12*T2^11 - 2645*T1^13*T2^11 + 
     3942*T1^14*T2^11 - 414*T1^15*T2^11 - 434*T1^16*T2^11 + 503*T1^4*T2^12 - 
     414*T1^5*T2^12 - 2968*T1^6*T2^12 + 5783*T1^7*T2^12 + 2604*T1^8*T2^12 - 
     10389*T1^9*T2^12 + 14702*T1^10*T2^12 - 10389*T1^11*T2^12 + 
     2604*T1^12*T2^12 + 5783*T1^13*T2^12 - 2968*T1^14*T2^12 - 
     414*T1^15*T2^12 + 503*T1^16*T2^12 - 434*T1^5*T2^13 + 980*T1^6*T2^13 + 
     912*T1^7*T2^13 - 5594*T1^8*T2^13 + 5783*T1^9*T2^13 - 2645*T1^10*T2^13 - 
     2645*T1^11*T2^13 + 5783*T1^12*T2^13 - 5594*T1^13*T2^13 + 
     912*T1^14*T2^13 + 980*T1^15*T2^13 - 434*T1^16*T2^13 + 270*T1^6*T2^14 - 
     1008*T1^7*T2^14 + 1110*T1^8*T2^14 + 912*T1^9*T2^14 - 2968*T1^10*T2^14 + 
     3942*T1^11*T2^14 - 2968*T1^12*T2^14 + 912*T1^13*T2^14 + 
     1110*T1^14*T2^14 - 1008*T1^15*T2^14 + 270*T1^16*T2^14 - 100*T1^7*T2^15 + 
     490*T1^8*T2^15 - 1008*T1^9*T2^15 + 980*T1^10*T2^15 - 414*T1^11*T2^15 - 
     414*T1^12*T2^15 + 980*T1^13*T2^15 - 1008*T1^14*T2^15 + 490*T1^15*T2^15 - 
     100*T1^16*T2^15 + 17*T1^8*T2^16 - 100*T1^9*T2^16 + 270*T1^10*T2^16 - 
     434*T1^11*T2^16 + 503*T1^12*T2^16 - 434*T1^13*T2^16 + 270*T1^14*T2^16 - 
     100*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8)}, 
 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, (1 - 4*T1 + 9*T1^2 - 15*T1^3 + 19*T1^4 - 15*T1^5 + 9*T1^6 - 4*T1^7 + 
     T1^8 - 4*T2 + 10*T1*T2 - 12*T1^2*T2 + 12*T1^3*T2 - 10*T1^4*T2 - 
     10*T1^5*T2 + 12*T1^6*T2 - 12*T1^7*T2 + 10*T1^8*T2 - 4*T1^9*T2 + 9*T2^2 - 
     12*T1*T2^2 + 7*T1^2*T2^2 - 46*T1^3*T2^2 + 133*T1^4*T2^2 - 
     147*T1^5*T2^2 + 133*T1^6*T2^2 - 46*T1^7*T2^2 + 7*T1^8*T2^2 - 
     12*T1^9*T2^2 + 9*T1^10*T2^2 - 15*T2^3 + 12*T1*T2^3 - 46*T1^2*T2^3 + 
     248*T1^3*T2^3 - 450*T1^4*T2^3 + 187*T1^5*T2^3 + 187*T1^6*T2^3 - 
     450*T1^7*T2^3 + 248*T1^8*T2^3 - 46*T1^9*T2^3 + 12*T1^10*T2^3 - 
     15*T1^11*T2^3 + 19*T2^4 - 10*T1*T2^4 + 133*T1^2*T2^4 - 450*T1^3*T2^4 + 
     329*T1^4*T2^4 + 847*T1^5*T2^4 - 1319*T1^6*T2^4 + 847*T1^7*T2^4 + 
     329*T1^8*T2^4 - 450*T1^9*T2^4 + 133*T1^10*T2^4 - 10*T1^11*T2^4 + 
     19*T1^12*T2^4 - 15*T2^5 - 10*T1*T2^5 - 147*T1^2*T2^5 + 187*T1^3*T2^5 + 
     847*T1^4*T2^5 - 2556*T1^5*T2^5 + 1146*T1^6*T2^5 + 1146*T1^7*T2^5 - 
     2556*T1^8*T2^5 + 847*T1^9*T2^5 + 187*T1^10*T2^5 - 147*T1^11*T2^5 - 
     10*T1^12*T2^5 - 15*T1^13*T2^5 + 9*T2^6 + 12*T1*T2^6 + 133*T1^2*T2^6 + 
     187*T1^3*T2^6 - 1319*T1^4*T2^6 + 1146*T1^5*T2^6 + 3598*T1^6*T2^6 - 
     5336*T1^7*T2^6 + 3598*T1^8*T2^6 + 1146*T1^9*T2^6 - 1319*T1^10*T2^6 + 
     187*T1^11*T2^6 + 133*T1^12*T2^6 + 12*T1^13*T2^6 + 9*T1^14*T2^6 - 
     4*T2^7 - 12*T1*T2^7 - 46*T1^2*T2^7 - 450*T1^3*T2^7 + 847*T1^4*T2^7 + 
     1146*T1^5*T2^7 - 5336*T1^6*T2^7 + 2194*T1^7*T2^7 + 2194*T1^8*T2^7 - 
     5336*T1^9*T2^7 + 1146*T1^10*T2^7 + 847*T1^11*T2^7 - 450*T1^12*T2^7 - 
     46*T1^13*T2^7 - 12*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 10*T1*T2^8 + 
     7*T1^2*T2^8 + 248*T1^3*T2^8 + 329*T1^4*T2^8 - 2556*T1^5*T2^8 + 
     3598*T1^6*T2^8 + 2194*T1^7*T2^8 - 3852*T1^8*T2^8 + 2194*T1^9*T2^8 + 
     3598*T1^10*T2^8 - 2556*T1^11*T2^8 + 329*T1^12*T2^8 + 248*T1^13*T2^8 + 
     7*T1^14*T2^8 + 10*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 12*T1^2*T2^9 - 
     46*T1^3*T2^9 - 450*T1^4*T2^9 + 847*T1^5*T2^9 + 1146*T1^6*T2^9 - 
     5336*T1^7*T2^9 + 2194*T1^8*T2^9 + 2194*T1^9*T2^9 - 5336*T1^10*T2^9 + 
     1146*T1^11*T2^9 + 847*T1^12*T2^9 - 450*T1^13*T2^9 - 46*T1^14*T2^9 - 
     12*T1^15*T2^9 - 4*T1^16*T2^9 + 9*T1^2*T2^10 + 12*T1^3*T2^10 + 
     133*T1^4*T2^10 + 187*T1^5*T2^10 - 1319*T1^6*T2^10 + 1146*T1^7*T2^10 + 
     3598*T1^8*T2^10 - 5336*T1^9*T2^10 + 3598*T1^10*T2^10 + 
     1146*T1^11*T2^10 - 1319*T1^12*T2^10 + 187*T1^13*T2^10 + 
     133*T1^14*T2^10 + 12*T1^15*T2^10 + 9*T1^16*T2^10 - 15*T1^3*T2^11 - 
     10*T1^4*T2^11 - 147*T1^5*T2^11 + 187*T1^6*T2^11 + 847*T1^7*T2^11 - 
     2556*T1^8*T2^11 + 1146*T1^9*T2^11 + 1146*T1^10*T2^11 - 
     2556*T1^11*T2^11 + 847*T1^12*T2^11 + 187*T1^13*T2^11 - 147*T1^14*T2^11 - 
     10*T1^15*T2^11 - 15*T1^16*T2^11 + 19*T1^4*T2^12 - 10*T1^5*T2^12 + 
     133*T1^6*T2^12 - 450*T1^7*T2^12 + 329*T1^8*T2^12 + 847*T1^9*T2^12 - 
     1319*T1^10*T2^12 + 847*T1^11*T2^12 + 329*T1^12*T2^12 - 450*T1^13*T2^12 + 
     133*T1^14*T2^12 - 10*T1^15*T2^12 + 19*T1^16*T2^12 - 15*T1^5*T2^13 + 
     12*T1^6*T2^13 - 46*T1^7*T2^13 + 248*T1^8*T2^13 - 450*T1^9*T2^13 + 
     187*T1^10*T2^13 + 187*T1^11*T2^13 - 450*T1^12*T2^13 + 248*T1^13*T2^13 - 
     46*T1^14*T2^13 + 12*T1^15*T2^13 - 15*T1^16*T2^13 + 9*T1^6*T2^14 - 
     12*T1^7*T2^14 + 7*T1^8*T2^14 - 46*T1^9*T2^14 + 133*T1^10*T2^14 - 
     147*T1^11*T2^14 + 133*T1^12*T2^14 - 46*T1^13*T2^14 + 7*T1^14*T2^14 - 
     12*T1^15*T2^14 + 9*T1^16*T2^14 - 4*T1^7*T2^15 + 10*T1^8*T2^15 - 
     12*T1^9*T2^15 + 12*T1^10*T2^15 - 10*T1^11*T2^15 - 10*T1^12*T2^15 + 
     12*T1^13*T2^15 - 12*T1^14*T2^15 + 10*T1^15*T2^15 - 4*T1^16*T2^15 + 
     T1^8*T2^16 - 4*T1^9*T2^16 + 9*T1^10*T2^16 - 15*T1^11*T2^16 + 
     19*T1^12*T2^16 - 15*T1^13*T2^16 + 9*T1^14*T2^16 - 4*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, Knot[12, Alternating, 1043] -> 
  {((1 - T + T^2)*(4 - 17*T + 27*T^2 - 17*T^3 + 4*T^4))/T^3, 
   (64 - 324*T1 + 716*T1^2 - 896*T1^3 + 716*T1^4 - 324*T1^5 + 64*T1^6 - 
     324*T2 + 1320*T1*T2 - 1994*T1^2*T2 + 920*T1^3*T2 + 920*T1^4*T2 - 
     1994*T1^5*T2 + 1320*T1^6*T2 - 324*T1^7*T2 + 716*T2^2 - 1994*T1*T2^2 + 
     363*T1^2*T2^2 + 4967*T1^3*T2^2 - 7415*T1^4*T2^2 + 4967*T1^5*T2^2 + 
     363*T1^6*T2^2 - 1994*T1^7*T2^2 + 716*T1^8*T2^2 - 896*T2^3 + 
     920*T1*T2^3 + 4967*T1^2*T2^3 - 11270*T1^3*T2^3 + 5356*T1^4*T2^3 + 
     5356*T1^5*T2^3 - 11270*T1^6*T2^3 + 4967*T1^7*T2^3 + 920*T1^8*T2^3 - 
     896*T1^9*T2^3 + 716*T2^4 + 920*T1*T2^4 - 7415*T1^2*T2^4 + 
     5356*T1^3*T2^4 + 12459*T1^4*T2^4 - 20653*T1^5*T2^4 + 12459*T1^6*T2^4 + 
     5356*T1^7*T2^4 - 7415*T1^8*T2^4 + 920*T1^9*T2^4 + 716*T1^10*T2^4 - 
     324*T2^5 - 1994*T1*T2^5 + 4967*T1^2*T2^5 + 5356*T1^3*T2^5 - 
     20653*T1^4*T2^5 + 10268*T1^5*T2^5 + 10268*T1^6*T2^5 - 20653*T1^7*T2^5 + 
     5356*T1^8*T2^5 + 4967*T1^9*T2^5 - 1994*T1^10*T2^5 - 324*T1^11*T2^5 + 
     64*T2^6 + 1320*T1*T2^6 + 363*T1^2*T2^6 - 11270*T1^3*T2^6 + 
     12459*T1^4*T2^6 + 10268*T1^5*T2^6 - 21132*T1^6*T2^6 + 10268*T1^7*T2^6 + 
     12459*T1^8*T2^6 - 11270*T1^9*T2^6 + 363*T1^10*T2^6 + 1320*T1^11*T2^6 + 
     64*T1^12*T2^6 - 324*T1*T2^7 - 1994*T1^2*T2^7 + 4967*T1^3*T2^7 + 
     5356*T1^4*T2^7 - 20653*T1^5*T2^7 + 10268*T1^6*T2^7 + 10268*T1^7*T2^7 - 
     20653*T1^8*T2^7 + 5356*T1^9*T2^7 + 4967*T1^10*T2^7 - 1994*T1^11*T2^7 - 
     324*T1^12*T2^7 + 716*T1^2*T2^8 + 920*T1^3*T2^8 - 7415*T1^4*T2^8 + 
     5356*T1^5*T2^8 + 12459*T1^6*T2^8 - 20653*T1^7*T2^8 + 12459*T1^8*T2^8 + 
     5356*T1^9*T2^8 - 7415*T1^10*T2^8 + 920*T1^11*T2^8 + 716*T1^12*T2^8 - 
     896*T1^3*T2^9 + 920*T1^4*T2^9 + 4967*T1^5*T2^9 - 11270*T1^6*T2^9 + 
     5356*T1^7*T2^9 + 5356*T1^8*T2^9 - 11270*T1^9*T2^9 + 4967*T1^10*T2^9 + 
     920*T1^11*T2^9 - 896*T1^12*T2^9 + 716*T1^4*T2^10 - 1994*T1^5*T2^10 + 
     363*T1^6*T2^10 + 4967*T1^7*T2^10 - 7415*T1^8*T2^10 + 4967*T1^9*T2^10 + 
     363*T1^10*T2^10 - 1994*T1^11*T2^10 + 716*T1^12*T2^10 - 324*T1^5*T2^11 + 
     1320*T1^6*T2^11 - 1994*T1^7*T2^11 + 920*T1^8*T2^11 + 920*T1^9*T2^11 - 
     1994*T1^10*T2^11 + 1320*T1^11*T2^11 - 324*T1^12*T2^11 + 64*T1^6*T2^12 - 
     324*T1^7*T2^12 + 716*T1^8*T2^12 - 896*T1^9*T2^12 + 716*T1^10*T2^12 - 
     324*T1^11*T2^12 + 64*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 1044] -> 
  {(3 - 18*T + 46*T^2 - 61*T^3 + 46*T^4 - 18*T^5 + 3*T^6)/T^3, 
   (36 - 210*T1 + 530*T1^2 - 698*T1^3 + 530*T1^4 - 210*T1^5 + 36*T1^6 - 
     210*T2 + 1014*T1*T2 - 1862*T1^2*T2 + 978*T1^3*T2 + 978*T1^4*T2 - 
     1862*T1^5*T2 + 1014*T1^6*T2 - 210*T1^7*T2 + 530*T2^2 - 1862*T1*T2^2 + 
     1143*T1^2*T2^2 + 4761*T1^3*T2^2 - 8291*T1^4*T2^2 + 4761*T1^5*T2^2 + 
     1143*T1^6*T2^2 - 1862*T1^7*T2^2 + 530*T1^8*T2^2 - 698*T2^3 + 
     978*T1*T2^3 + 4761*T1^2*T2^3 - 14806*T1^3*T2^3 + 8385*T1^4*T2^3 + 
     8385*T1^5*T2^3 - 14806*T1^6*T2^3 + 4761*T1^7*T2^3 + 978*T1^8*T2^3 - 
     698*T1^9*T2^3 + 530*T2^4 + 978*T1*T2^4 - 8291*T1^2*T2^4 + 
     8385*T1^3*T2^4 + 20425*T1^4*T2^4 - 38023*T1^5*T2^4 + 20425*T1^6*T2^4 + 
     8385*T1^7*T2^4 - 8291*T1^8*T2^4 + 978*T1^9*T2^4 + 530*T1^10*T2^4 - 
     210*T2^5 - 1862*T1*T2^5 + 4761*T1^2*T2^5 + 8385*T1^3*T2^5 - 
     38023*T1^4*T2^5 + 22234*T1^5*T2^5 + 22234*T1^6*T2^5 - 38023*T1^7*T2^5 + 
     8385*T1^8*T2^5 + 4761*T1^9*T2^5 - 1862*T1^10*T2^5 - 210*T1^11*T2^5 + 
     36*T2^6 + 1014*T1*T2^6 + 1143*T1^2*T2^6 - 14806*T1^3*T2^6 + 
     20425*T1^4*T2^6 + 22234*T1^5*T2^6 - 49188*T1^6*T2^6 + 22234*T1^7*T2^6 + 
     20425*T1^8*T2^6 - 14806*T1^9*T2^6 + 1143*T1^10*T2^6 + 1014*T1^11*T2^6 + 
     36*T1^12*T2^6 - 210*T1*T2^7 - 1862*T1^2*T2^7 + 4761*T1^3*T2^7 + 
     8385*T1^4*T2^7 - 38023*T1^5*T2^7 + 22234*T1^6*T2^7 + 22234*T1^7*T2^7 - 
     38023*T1^8*T2^7 + 8385*T1^9*T2^7 + 4761*T1^10*T2^7 - 1862*T1^11*T2^7 - 
     210*T1^12*T2^7 + 530*T1^2*T2^8 + 978*T1^3*T2^8 - 8291*T1^4*T2^8 + 
     8385*T1^5*T2^8 + 20425*T1^6*T2^8 - 38023*T1^7*T2^8 + 20425*T1^8*T2^8 + 
     8385*T1^9*T2^8 - 8291*T1^10*T2^8 + 978*T1^11*T2^8 + 530*T1^12*T2^8 - 
     698*T1^3*T2^9 + 978*T1^4*T2^9 + 4761*T1^5*T2^9 - 14806*T1^6*T2^9 + 
     8385*T1^7*T2^9 + 8385*T1^8*T2^9 - 14806*T1^9*T2^9 + 4761*T1^10*T2^9 + 
     978*T1^11*T2^9 - 698*T1^12*T2^9 + 530*T1^4*T2^10 - 1862*T1^5*T2^10 + 
     1143*T1^6*T2^10 + 4761*T1^7*T2^10 - 8291*T1^8*T2^10 + 4761*T1^9*T2^10 + 
     1143*T1^10*T2^10 - 1862*T1^11*T2^10 + 530*T1^12*T2^10 - 210*T1^5*T2^11 + 
     1014*T1^6*T2^11 - 1862*T1^7*T2^11 + 978*T1^8*T2^11 + 978*T1^9*T2^11 - 
     1862*T1^10*T2^11 + 1014*T1^11*T2^11 - 210*T1^12*T2^11 + 36*T1^6*T2^12 - 
     210*T1^7*T2^12 + 530*T1^8*T2^12 - 698*T1^9*T2^12 + 530*T1^10*T2^12 - 
     210*T1^11*T2^12 + 36*T1^12*T2^12)/(T1^6*T2^6)}, 
 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, 
   (2 - 16*T1 + 44*T1^2 - 64*T1^3 + 70*T1^4 - 64*T1^5 + 44*T1^6 - 16*T1^7 + 
     2*T1^8 - 16*T2 + 112*T1*T2 - 223*T1^2*T2 + 159*T1^3*T2 - 48*T1^4*T2 - 
     48*T1^5*T2 + 159*T1^6*T2 - 223*T1^7*T2 + 112*T1^8*T2 - 16*T1^9*T2 + 
     44*T2^2 - 223*T1*T2^2 - 4*T1^2*T2^2 + 1003*T1^3*T2^2 - 1506*T1^4*T2^2 + 
     1580*T1^5*T2^2 - 1506*T1^6*T2^2 + 1003*T1^7*T2^2 - 4*T1^8*T2^2 - 
     223*T1^9*T2^2 + 44*T1^10*T2^2 - 64*T2^3 + 159*T1*T2^3 + 1003*T1^2*T2^3 - 
     2788*T1^3*T2^3 + 1742*T1^4*T2^3 - 430*T1^5*T2^3 - 430*T1^6*T2^3 + 
     1742*T1^7*T2^3 - 2788*T1^8*T2^3 + 1003*T1^9*T2^3 + 159*T1^10*T2^3 - 
     64*T1^11*T2^3 + 70*T2^4 - 48*T1*T2^4 - 1506*T1^2*T2^4 + 1742*T1^3*T2^4 + 
     3004*T1^4*T2^4 - 4624*T1^5*T2^4 + 4522*T1^6*T2^4 - 4624*T1^7*T2^4 + 
     3004*T1^8*T2^4 + 1742*T1^9*T2^4 - 1506*T1^10*T2^4 - 48*T1^11*T2^4 + 
     70*T1^12*T2^4 - 64*T2^5 - 48*T1*T2^5 + 1580*T1^2*T2^5 - 430*T1^3*T2^5 - 
     4624*T1^4*T2^5 + 2354*T1^5*T2^5 - 332*T1^6*T2^5 - 332*T1^7*T2^5 + 
     2354*T1^8*T2^5 - 4624*T1^9*T2^5 - 430*T1^10*T2^5 + 1580*T1^11*T2^5 - 
     48*T1^12*T2^5 - 64*T1^13*T2^5 + 44*T2^6 + 159*T1*T2^6 - 1506*T1^2*T2^6 - 
     430*T1^3*T2^6 + 4522*T1^4*T2^6 - 332*T1^5*T2^6 - 42*T1^6*T2^6 - 
     496*T1^7*T2^6 - 42*T1^8*T2^6 - 332*T1^9*T2^6 + 4522*T1^10*T2^6 - 
     430*T1^11*T2^6 - 1506*T1^12*T2^6 + 159*T1^13*T2^6 + 44*T1^14*T2^6 - 
     16*T2^7 - 223*T1*T2^7 + 1003*T1^2*T2^7 + 1742*T1^3*T2^7 - 
     4624*T1^4*T2^7 - 332*T1^5*T2^7 - 496*T1^6*T2^7 + 396*T1^7*T2^7 + 
     396*T1^8*T2^7 - 496*T1^9*T2^7 - 332*T1^10*T2^7 - 4624*T1^11*T2^7 + 
     1742*T1^12*T2^7 + 1003*T1^13*T2^7 - 223*T1^14*T2^7 - 16*T1^15*T2^7 + 
     2*T2^8 + 112*T1*T2^8 - 4*T1^2*T2^8 - 2788*T1^3*T2^8 + 3004*T1^4*T2^8 + 
     2354*T1^5*T2^8 - 42*T1^6*T2^8 + 396*T1^7*T2^8 - 720*T1^8*T2^8 + 
     396*T1^9*T2^8 - 42*T1^10*T2^8 + 2354*T1^11*T2^8 + 3004*T1^12*T2^8 - 
     2788*T1^13*T2^8 - 4*T1^14*T2^8 + 112*T1^15*T2^8 + 2*T1^16*T2^8 - 
     16*T1*T2^9 - 223*T1^2*T2^9 + 1003*T1^3*T2^9 + 1742*T1^4*T2^9 - 
     4624*T1^5*T2^9 - 332*T1^6*T2^9 - 496*T1^7*T2^9 + 396*T1^8*T2^9 + 
     396*T1^9*T2^9 - 496*T1^10*T2^9 - 332*T1^11*T2^9 - 4624*T1^12*T2^9 + 
     1742*T1^13*T2^9 + 1003*T1^14*T2^9 - 223*T1^15*T2^9 - 16*T1^16*T2^9 + 
     44*T1^2*T2^10 + 159*T1^3*T2^10 - 1506*T1^4*T2^10 - 430*T1^5*T2^10 + 
     4522*T1^6*T2^10 - 332*T1^7*T2^10 - 42*T1^8*T2^10 - 496*T1^9*T2^10 - 
     42*T1^10*T2^10 - 332*T1^11*T2^10 + 4522*T1^12*T2^10 - 430*T1^13*T2^10 - 
     1506*T1^14*T2^10 + 159*T1^15*T2^10 + 44*T1^16*T2^10 - 64*T1^3*T2^11 - 
     48*T1^4*T2^11 + 1580*T1^5*T2^11 - 430*T1^6*T2^11 - 4624*T1^7*T2^11 + 
     2354*T1^8*T2^11 - 332*T1^9*T2^11 - 332*T1^10*T2^11 + 2354*T1^11*T2^11 - 
     4624*T1^12*T2^11 - 430*T1^13*T2^11 + 1580*T1^14*T2^11 - 48*T1^15*T2^11 - 
     64*T1^16*T2^11 + 70*T1^4*T2^12 - 48*T1^5*T2^12 - 1506*T1^6*T2^12 + 
     1742*T1^7*T2^12 + 3004*T1^8*T2^12 - 4624*T1^9*T2^12 + 4522*T1^10*T2^12 - 
     4624*T1^11*T2^12 + 3004*T1^12*T2^12 + 1742*T1^13*T2^12 - 
     1506*T1^14*T2^12 - 48*T1^15*T2^12 + 70*T1^16*T2^12 - 64*T1^5*T2^13 + 
     159*T1^6*T2^13 + 1003*T1^7*T2^13 - 2788*T1^8*T2^13 + 1742*T1^9*T2^13 - 
     430*T1^10*T2^13 - 430*T1^11*T2^13 + 1742*T1^12*T2^13 - 
     2788*T1^13*T2^13 + 1003*T1^14*T2^13 + 159*T1^15*T2^13 - 64*T1^16*T2^13 + 
     44*T1^6*T2^14 - 223*T1^7*T2^14 - 4*T1^8*T2^14 + 1003*T1^9*T2^14 - 
     1506*T1^10*T2^14 + 1580*T1^11*T2^14 - 1506*T1^12*T2^14 + 
     1003*T1^13*T2^14 - 4*T1^14*T2^14 - 223*T1^15*T2^14 + 44*T1^16*T2^14 - 
     16*T1^7*T2^15 + 112*T1^8*T2^15 - 223*T1^9*T2^15 + 159*T1^10*T2^15 - 
     48*T1^11*T2^15 - 48*T1^12*T2^15 + 159*T1^13*T2^15 - 223*T1^14*T2^15 + 
     112*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)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 1046] -> 
  {((2 - 3*T + 2*T^2)*(1 - 7*T + 13*T^2 - 7*T^3 + T^4))/T^3, 
   (9 - 76*T1 + 218*T1^2 - 297*T1^3 + 218*T1^4 - 76*T1^5 + 9*T1^6 - 76*T2 + 
     566*T1*T2 - 1192*T1^2*T2 + 660*T1^3*T2 + 660*T1^4*T2 - 1192*T1^5*T2 + 
     566*T1^6*T2 - 76*T1^7*T2 + 218*T2^2 - 1192*T1*T2^2 + 127*T1^2*T2^2 + 
     6095*T1^3*T2^2 - 9929*T1^4*T2^2 + 6095*T1^5*T2^2 + 127*T1^6*T2^2 - 
     1192*T1^7*T2^2 + 218*T1^8*T2^2 - 297*T2^3 + 660*T1*T2^3 + 
     6095*T1^2*T2^3 - 17916*T1^3*T2^3 + 10406*T1^4*T2^3 + 10406*T1^5*T2^3 - 
     17916*T1^6*T2^3 + 6095*T1^7*T2^3 + 660*T1^8*T2^3 - 297*T1^9*T2^3 + 
     218*T2^4 + 660*T1*T2^4 - 9929*T1^2*T2^4 + 10406*T1^3*T2^4 + 
     25812*T1^4*T2^4 - 49398*T1^5*T2^4 + 25812*T1^6*T2^4 + 10406*T1^7*T2^4 - 
     9929*T1^8*T2^4 + 660*T1^9*T2^4 + 218*T1^10*T2^4 - 76*T2^5 - 
     1192*T1*T2^5 + 6095*T1^2*T2^5 + 10406*T1^3*T2^5 - 49398*T1^4*T2^5 + 
     30184*T1^5*T2^5 + 30184*T1^6*T2^5 - 49398*T1^7*T2^5 + 10406*T1^8*T2^5 + 
     6095*T1^9*T2^5 - 1192*T1^10*T2^5 - 76*T1^11*T2^5 + 9*T2^6 + 
     566*T1*T2^6 + 127*T1^2*T2^6 - 17916*T1^3*T2^6 + 25812*T1^4*T2^6 + 
     30184*T1^5*T2^6 - 68280*T1^6*T2^6 + 30184*T1^7*T2^6 + 25812*T1^8*T2^6 - 
     17916*T1^9*T2^6 + 127*T1^10*T2^6 + 566*T1^11*T2^6 + 9*T1^12*T2^6 - 
     76*T1*T2^7 - 1192*T1^2*T2^7 + 6095*T1^3*T2^7 + 10406*T1^4*T2^7 - 
     49398*T1^5*T2^7 + 30184*T1^6*T2^7 + 30184*T1^7*T2^7 - 49398*T1^8*T2^7 + 
     10406*T1^9*T2^7 + 6095*T1^10*T2^7 - 1192*T1^11*T2^7 - 76*T1^12*T2^7 + 
     218*T1^2*T2^8 + 660*T1^3*T2^8 - 9929*T1^4*T2^8 + 10406*T1^5*T2^8 + 
     25812*T1^6*T2^8 - 49398*T1^7*T2^8 + 25812*T1^8*T2^8 + 10406*T1^9*T2^8 - 
     9929*T1^10*T2^8 + 660*T1^11*T2^8 + 218*T1^12*T2^8 - 297*T1^3*T2^9 + 
     660*T1^4*T2^9 + 6095*T1^5*T2^9 - 17916*T1^6*T2^9 + 10406*T1^7*T2^9 + 
     10406*T1^8*T2^9 - 17916*T1^9*T2^9 + 6095*T1^10*T2^9 + 660*T1^11*T2^9 - 
     297*T1^12*T2^9 + 218*T1^4*T2^10 - 1192*T1^5*T2^10 + 127*T1^6*T2^10 + 
     6095*T1^7*T2^10 - 9929*T1^8*T2^10 + 6095*T1^9*T2^10 + 127*T1^10*T2^10 - 
     1192*T1^11*T2^10 + 218*T1^12*T2^10 - 76*T1^5*T2^11 + 566*T1^6*T2^11 - 
     1192*T1^7*T2^11 + 660*T1^8*T2^11 + 660*T1^9*T2^11 - 1192*T1^10*T2^11 + 
     566*T1^11*T2^11 - 76*T1^12*T2^11 + 9*T1^6*T2^12 - 76*T1^7*T2^12 + 
     218*T1^8*T2^12 - 297*T1^9*T2^12 + 218*T1^10*T2^12 - 76*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, 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, -((1 - 4*T1 + 10*T1^2 - 18*T1^3 + 25*T1^4 - 27*T1^5 + 
      25*T1^6 - 18*T1^7 + 10*T1^8 - 4*T1^9 + T1^10 - 4*T2 + 12*T1*T2 - 
      24*T1^2*T2 + 32*T1^3*T2 - 28*T1^4*T2 + 8*T1^5*T2 + 8*T1^6*T2 - 
      28*T1^7*T2 + 32*T1^8*T2 - 24*T1^9*T2 + 12*T1^10*T2 - 4*T1^11*T2 + 
      10*T2^2 - 24*T1*T2^2 + 46*T1^2*T2^2 - 59*T1^3*T2^2 + 58*T1^4*T2^2 - 
      39*T1^5*T2^2 + 52*T1^6*T2^2 - 39*T1^7*T2^2 + 58*T1^8*T2^2 - 
      59*T1^9*T2^2 + 46*T1^10*T2^2 - 24*T1^11*T2^2 + 10*T1^12*T2^2 - 
      18*T2^3 + 32*T1*T2^3 - 59*T1^2*T2^3 + 60*T1^3*T2^3 - 43*T1^4*T2^3 - 
      3*T1^5*T2^3 - 26*T1^6*T2^3 - 26*T1^7*T2^3 - 3*T1^8*T2^3 - 
      43*T1^9*T2^3 + 60*T1^10*T2^3 - 59*T1^11*T2^3 + 32*T1^12*T2^3 - 
      18*T1^13*T2^3 + 25*T2^4 - 28*T1*T2^4 + 58*T1^2*T2^4 - 43*T1^3*T2^4 + 
      34*T1^4*T2^4 - T1^5*T2^4 + 107*T1^6*T2^4 - 26*T1^7*T2^4 + 
      107*T1^8*T2^4 - T1^9*T2^4 + 34*T1^10*T2^4 - 43*T1^11*T2^4 + 
      58*T1^12*T2^4 - 28*T1^13*T2^4 + 25*T1^14*T2^4 - 27*T2^5 + 8*T1*T2^5 - 
      39*T1^2*T2^5 - 3*T1^3*T2^5 - T1^4*T2^5 - 24*T1^5*T2^5 - 120*T1^6*T2^5 - 
      65*T1^7*T2^5 - 65*T1^8*T2^5 - 120*T1^9*T2^5 - 24*T1^10*T2^5 - 
      T1^11*T2^5 - 3*T1^12*T2^5 - 39*T1^13*T2^5 + 8*T1^14*T2^5 - 
      27*T1^15*T2^5 + 25*T2^6 + 8*T1*T2^6 + 52*T1^2*T2^6 - 26*T1^3*T2^6 + 
      107*T1^4*T2^6 - 120*T1^5*T2^6 + 260*T1^6*T2^6 + 32*T1^7*T2^6 + 
      196*T1^8*T2^6 + 32*T1^9*T2^6 + 260*T1^10*T2^6 - 120*T1^11*T2^6 + 
      107*T1^12*T2^6 - 26*T1^13*T2^6 + 52*T1^14*T2^6 + 8*T1^15*T2^6 + 
      25*T1^16*T2^6 - 18*T2^7 - 28*T1*T2^7 - 39*T1^2*T2^7 - 26*T1^3*T2^7 - 
      26*T1^4*T2^7 - 65*T1^5*T2^7 + 32*T1^6*T2^7 - 342*T1^7*T2^7 - 
      85*T1^8*T2^7 - 85*T1^9*T2^7 - 342*T1^10*T2^7 + 32*T1^11*T2^7 - 
      65*T1^12*T2^7 - 26*T1^13*T2^7 - 26*T1^14*T2^7 - 39*T1^15*T2^7 - 
      28*T1^16*T2^7 - 18*T1^17*T2^7 + 10*T2^8 + 32*T1*T2^8 + 58*T1^2*T2^8 - 
      3*T1^3*T2^8 + 107*T1^4*T2^8 - 65*T1^5*T2^8 + 196*T1^6*T2^8 - 
      85*T1^7*T2^8 + 681*T1^8*T2^8 - 425*T1^9*T2^8 + 681*T1^10*T2^8 - 
      85*T1^11*T2^8 + 196*T1^12*T2^8 - 65*T1^13*T2^8 + 107*T1^14*T2^8 - 
      3*T1^15*T2^8 + 58*T1^16*T2^8 + 32*T1^17*T2^8 + 10*T1^18*T2^8 - 4*T2^9 - 
      24*T1*T2^9 - 59*T1^2*T2^9 - 43*T1^3*T2^9 - T1^4*T2^9 - 120*T1^5*T2^9 + 
      32*T1^6*T2^9 - 85*T1^7*T2^9 - 425*T1^8*T2^9 - 58*T1^9*T2^9 - 
      58*T1^10*T2^9 - 425*T1^11*T2^9 - 85*T1^12*T2^9 + 32*T1^13*T2^9 - 
      120*T1^14*T2^9 - T1^15*T2^9 - 43*T1^16*T2^9 - 59*T1^17*T2^9 - 
      24*T1^18*T2^9 - 4*T1^19*T2^9 + T2^10 + 12*T1*T2^10 + 46*T1^2*T2^10 + 
      60*T1^3*T2^10 + 34*T1^4*T2^10 - 24*T1^5*T2^10 + 260*T1^6*T2^10 - 
      342*T1^7*T2^10 + 681*T1^8*T2^10 - 58*T1^9*T2^10 + 276*T1^10*T2^10 - 
      58*T1^11*T2^10 + 681*T1^12*T2^10 - 342*T1^13*T2^10 + 260*T1^14*T2^10 - 
      24*T1^15*T2^10 + 34*T1^16*T2^10 + 60*T1^17*T2^10 + 46*T1^18*T2^10 + 
      12*T1^19*T2^10 + T1^20*T2^10 - 4*T1*T2^11 - 24*T1^2*T2^11 - 
      59*T1^3*T2^11 - 43*T1^4*T2^11 - T1^5*T2^11 - 120*T1^6*T2^11 + 
      32*T1^7*T2^11 - 85*T1^8*T2^11 - 425*T1^9*T2^11 - 58*T1^10*T2^11 - 
      58*T1^11*T2^11 - 425*T1^12*T2^11 - 85*T1^13*T2^11 + 32*T1^14*T2^11 - 
      120*T1^15*T2^11 - T1^16*T2^11 - 43*T1^17*T2^11 - 59*T1^18*T2^11 - 
      24*T1^19*T2^11 - 4*T1^20*T2^11 + 10*T1^2*T2^12 + 32*T1^3*T2^12 + 
      58*T1^4*T2^12 - 3*T1^5*T2^12 + 107*T1^6*T2^12 - 65*T1^7*T2^12 + 
      196*T1^8*T2^12 - 85*T1^9*T2^12 + 681*T1^10*T2^12 - 425*T1^11*T2^12 + 
      681*T1^12*T2^12 - 85*T1^13*T2^12 + 196*T1^14*T2^12 - 65*T1^15*T2^12 + 
      107*T1^16*T2^12 - 3*T1^17*T2^12 + 58*T1^18*T2^12 + 32*T1^19*T2^12 + 
      10*T1^20*T2^12 - 18*T1^3*T2^13 - 28*T1^4*T2^13 - 39*T1^5*T2^13 - 
      26*T1^6*T2^13 - 26*T1^7*T2^13 - 65*T1^8*T2^13 + 32*T1^9*T2^13 - 
      342*T1^10*T2^13 - 85*T1^11*T2^13 - 85*T1^12*T2^13 - 342*T1^13*T2^13 + 
      32*T1^14*T2^13 - 65*T1^15*T2^13 - 26*T1^16*T2^13 - 26*T1^17*T2^13 - 
      39*T1^18*T2^13 - 28*T1^19*T2^13 - 18*T1^20*T2^13 + 25*T1^4*T2^14 + 
      8*T1^5*T2^14 + 52*T1^6*T2^14 - 26*T1^7*T2^14 + 107*T1^8*T2^14 - 
      120*T1^9*T2^14 + 260*T1^10*T2^14 + 32*T1^11*T2^14 + 196*T1^12*T2^14 + 
      32*T1^13*T2^14 + 260*T1^14*T2^14 - 120*T1^15*T2^14 + 107*T1^16*T2^14 - 
      26*T1^17*T2^14 + 52*T1^18*T2^14 + 8*T1^19*T2^14 + 25*T1^20*T2^14 - 
      27*T1^5*T2^15 + 8*T1^6*T2^15 - 39*T1^7*T2^15 - 3*T1^8*T2^15 - 
      T1^9*T2^15 - 24*T1^10*T2^15 - 120*T1^11*T2^15 - 65*T1^12*T2^15 - 
      65*T1^13*T2^15 - 120*T1^14*T2^15 - 24*T1^15*T2^15 - T1^16*T2^15 - 
      3*T1^17*T2^15 - 39*T1^18*T2^15 + 8*T1^19*T2^15 - 27*T1^20*T2^15 + 
      25*T1^6*T2^16 - 28*T1^7*T2^16 + 58*T1^8*T2^16 - 43*T1^9*T2^16 + 
      34*T1^10*T2^16 - T1^11*T2^16 + 107*T1^12*T2^16 - 26*T1^13*T2^16 + 
      107*T1^14*T2^16 - T1^15*T2^16 + 34*T1^16*T2^16 - 43*T1^17*T2^16 + 
      58*T1^18*T2^16 - 28*T1^19*T2^16 + 25*T1^20*T2^16 - 18*T1^7*T2^17 + 
      32*T1^8*T2^17 - 59*T1^9*T2^17 + 60*T1^10*T2^17 - 43*T1^11*T2^17 - 
      3*T1^12*T2^17 - 26*T1^13*T2^17 - 26*T1^14*T2^17 - 3*T1^15*T2^17 - 
      43*T1^16*T2^17 + 60*T1^17*T2^17 - 59*T1^18*T2^17 + 32*T1^19*T2^17 - 
      18*T1^20*T2^17 + 10*T1^8*T2^18 - 24*T1^9*T2^18 + 46*T1^10*T2^18 - 
      59*T1^11*T2^18 + 58*T1^12*T2^18 - 39*T1^13*T2^18 + 52*T1^14*T2^18 - 
      39*T1^15*T2^18 + 58*T1^16*T2^18 - 59*T1^17*T2^18 + 46*T1^18*T2^18 - 
      24*T1^19*T2^18 + 10*T1^20*T2^18 - 4*T1^9*T2^19 + 12*T1^10*T2^19 - 
      24*T1^11*T2^19 + 32*T1^12*T2^19 - 28*T1^13*T2^19 + 8*T1^14*T2^19 + 
      8*T1^15*T2^19 - 28*T1^16*T2^19 + 32*T1^17*T2^19 - 24*T1^18*T2^19 + 
      12*T1^19*T2^19 - 4*T1^20*T2^19 + T1^10*T2^20 - 4*T1^11*T2^20 + 
      10*T1^12*T2^20 - 18*T1^13*T2^20 + 25*T1^14*T2^20 - 27*T1^15*T2^20 + 
      25*T1^16*T2^20 - 18*T1^17*T2^20 + 10*T1^18*T2^20 - 4*T1^19*T2^20 + 
      T1^20*T2^20)/(T1^10*T2^10))}, 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, -((1 - 4*T1 + 10*T1^2 - 17*T1^3 + 21*T1^4 - 17*T1^5 + 10*T1^6 - 
      4*T1^7 + T1^8 - 4*T2 + 12*T1*T2 - 24*T1^2*T2 + 28*T1^3*T2 - 
      16*T1^4*T2 - 16*T1^5*T2 + 28*T1^6*T2 - 24*T1^7*T2 + 12*T1^8*T2 - 
      4*T1^9*T2 + 10*T2^2 - 24*T1*T2^2 + 52*T1^2*T2^2 - 72*T1^3*T2^2 + 
      91*T1^4*T2^2 - 76*T1^5*T2^2 + 91*T1^6*T2^2 - 72*T1^7*T2^2 + 
      52*T1^8*T2^2 - 24*T1^9*T2^2 + 10*T1^10*T2^2 - 17*T2^3 + 28*T1*T2^3 - 
      72*T1^2*T2^3 + 90*T1^3*T2^3 - 124*T1^4*T2^3 + 30*T1^5*T2^3 + 
      30*T1^6*T2^3 - 124*T1^7*T2^3 + 90*T1^8*T2^3 - 72*T1^9*T2^3 + 
      28*T1^10*T2^3 - 17*T1^11*T2^3 + 21*T2^4 - 16*T1*T2^4 + 91*T1^2*T2^4 - 
      124*T1^3*T2^4 + 247*T1^4*T2^4 - 99*T1^5*T2^4 + 111*T1^6*T2^4 - 
      99*T1^7*T2^4 + 247*T1^8*T2^4 - 124*T1^9*T2^4 + 91*T1^10*T2^4 - 
      16*T1^11*T2^4 + 21*T1^12*T2^4 - 17*T2^5 - 16*T1*T2^5 - 76*T1^2*T2^5 + 
      30*T1^3*T2^5 - 99*T1^4*T2^5 - 242*T1^5*T2^5 + 39*T1^6*T2^5 + 
      39*T1^7*T2^5 - 242*T1^8*T2^5 - 99*T1^9*T2^5 + 30*T1^10*T2^5 - 
      76*T1^11*T2^5 - 16*T1^12*T2^5 - 17*T1^13*T2^5 + 10*T2^6 + 28*T1*T2^6 + 
      91*T1^2*T2^6 + 30*T1^3*T2^6 + 111*T1^4*T2^6 + 39*T1^5*T2^6 + 
      673*T1^6*T2^6 - 635*T1^7*T2^6 + 673*T1^8*T2^6 + 39*T1^9*T2^6 + 
      111*T1^10*T2^6 + 30*T1^11*T2^6 + 91*T1^12*T2^6 + 28*T1^13*T2^6 + 
      10*T1^14*T2^6 - 4*T2^7 - 24*T1*T2^7 - 72*T1^2*T2^7 - 124*T1^3*T2^7 - 
      99*T1^4*T2^7 + 39*T1^5*T2^7 - 635*T1^6*T2^7 - 10*T1^7*T2^7 - 
      10*T1^8*T2^7 - 635*T1^9*T2^7 + 39*T1^10*T2^7 - 99*T1^11*T2^7 - 
      124*T1^12*T2^7 - 72*T1^13*T2^7 - 24*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 
      12*T1*T2^8 + 52*T1^2*T2^8 + 90*T1^3*T2^8 + 247*T1^4*T2^8 - 
      242*T1^5*T2^8 + 673*T1^6*T2^8 - 10*T1^7*T2^8 + 432*T1^8*T2^8 - 
      10*T1^9*T2^8 + 673*T1^10*T2^8 - 242*T1^11*T2^8 + 247*T1^12*T2^8 + 
      90*T1^13*T2^8 + 52*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 
      4*T1*T2^9 - 24*T1^2*T2^9 - 72*T1^3*T2^9 - 124*T1^4*T2^9 - 
      99*T1^5*T2^9 + 39*T1^6*T2^9 - 635*T1^7*T2^9 - 10*T1^8*T2^9 - 
      10*T1^9*T2^9 - 635*T1^10*T2^9 + 39*T1^11*T2^9 - 99*T1^12*T2^9 - 
      124*T1^13*T2^9 - 72*T1^14*T2^9 - 24*T1^15*T2^9 - 4*T1^16*T2^9 + 
      10*T1^2*T2^10 + 28*T1^3*T2^10 + 91*T1^4*T2^10 + 30*T1^5*T2^10 + 
      111*T1^6*T2^10 + 39*T1^7*T2^10 + 673*T1^8*T2^10 - 635*T1^9*T2^10 + 
      673*T1^10*T2^10 + 39*T1^11*T2^10 + 111*T1^12*T2^10 + 30*T1^13*T2^10 + 
      91*T1^14*T2^10 + 28*T1^15*T2^10 + 10*T1^16*T2^10 - 17*T1^3*T2^11 - 
      16*T1^4*T2^11 - 76*T1^5*T2^11 + 30*T1^6*T2^11 - 99*T1^7*T2^11 - 
      242*T1^8*T2^11 + 39*T1^9*T2^11 + 39*T1^10*T2^11 - 242*T1^11*T2^11 - 
      99*T1^12*T2^11 + 30*T1^13*T2^11 - 76*T1^14*T2^11 - 16*T1^15*T2^11 - 
      17*T1^16*T2^11 + 21*T1^4*T2^12 - 16*T1^5*T2^12 + 91*T1^6*T2^12 - 
      124*T1^7*T2^12 + 247*T1^8*T2^12 - 99*T1^9*T2^12 + 111*T1^10*T2^12 - 
      99*T1^11*T2^12 + 247*T1^12*T2^12 - 124*T1^13*T2^12 + 91*T1^14*T2^12 - 
      16*T1^15*T2^12 + 21*T1^16*T2^12 - 17*T1^5*T2^13 + 28*T1^6*T2^13 - 
      72*T1^7*T2^13 + 90*T1^8*T2^13 - 124*T1^9*T2^13 + 30*T1^10*T2^13 + 
      30*T1^11*T2^13 - 124*T1^12*T2^13 + 90*T1^13*T2^13 - 72*T1^14*T2^13 + 
      28*T1^15*T2^13 - 17*T1^16*T2^13 + 10*T1^6*T2^14 - 24*T1^7*T2^14 + 
      52*T1^8*T2^14 - 72*T1^9*T2^14 + 91*T1^10*T2^14 - 76*T1^11*T2^14 + 
      91*T1^12*T2^14 - 72*T1^13*T2^14 + 52*T1^14*T2^14 - 24*T1^15*T2^14 + 
      10*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 24*T1^9*T2^15 + 
      28*T1^10*T2^15 - 16*T1^11*T2^15 - 16*T1^12*T2^15 + 28*T1^13*T2^15 - 
      24*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 
      4*T1^9*T2^16 + 10*T1^10*T2^16 - 17*T1^11*T2^16 + 21*T1^12*T2^16 - 
      17*T1^13*T2^16 + 10*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, 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), (1 - 9*T1 + 27*T1^2 - 45*T1^3 + 51*T1^4 - 45*T1^5 + 27*T1^6 - 
     9*T1^7 + T1^8 - 9*T2 + 72*T1*T2 - 162*T1^2*T2 + 161*T1^3*T2 - 
     53*T1^4*T2 - 53*T1^5*T2 + 161*T1^6*T2 - 162*T1^7*T2 + 72*T1^8*T2 - 
     9*T1^9*T2 + 27*T2^2 - 162*T1*T2^2 + 26*T1^2*T2^2 + 737*T1^3*T2^2 - 
     1539*T1^4*T2^2 + 1688*T1^5*T2^2 - 1539*T1^6*T2^2 + 737*T1^7*T2^2 + 
     26*T1^8*T2^2 - 162*T1^9*T2^2 + 27*T1^10*T2^2 - 45*T2^3 + 161*T1*T2^3 + 
     737*T1^2*T2^3 - 2448*T1^3*T2^3 + 2546*T1^4*T2^3 - 674*T1^5*T2^3 - 
     674*T1^6*T2^3 + 2546*T1^7*T2^3 - 2448*T1^8*T2^3 + 737*T1^9*T2^3 + 
     161*T1^10*T2^3 - 45*T1^11*T2^3 + 51*T2^4 - 53*T1*T2^4 - 1539*T1^2*T2^4 + 
     2546*T1^3*T2^4 + 682*T1^4*T2^4 - 4912*T1^5*T2^4 + 4982*T1^6*T2^4 - 
     4912*T1^7*T2^4 + 682*T1^8*T2^4 + 2546*T1^9*T2^4 - 1539*T1^10*T2^4 - 
     53*T1^11*T2^4 + 51*T1^12*T2^4 - 45*T2^5 - 53*T1*T2^5 + 1688*T1^2*T2^5 - 
     674*T1^3*T2^5 - 4912*T1^4*T2^5 + 6934*T1^5*T2^5 - 1577*T1^6*T2^5 - 
     1577*T1^7*T2^5 + 6934*T1^8*T2^5 - 4912*T1^9*T2^5 - 674*T1^10*T2^5 + 
     1688*T1^11*T2^5 - 53*T1^12*T2^5 - 45*T1^13*T2^5 + 27*T2^6 + 
     161*T1*T2^6 - 1539*T1^2*T2^6 - 674*T1^3*T2^6 + 4982*T1^4*T2^6 - 
     1577*T1^5*T2^6 - 7424*T1^6*T2^6 + 8262*T1^7*T2^6 - 7424*T1^8*T2^6 - 
     1577*T1^9*T2^6 + 4982*T1^10*T2^6 - 674*T1^11*T2^6 - 1539*T1^12*T2^6 + 
     161*T1^13*T2^6 + 27*T1^14*T2^6 - 9*T2^7 - 162*T1*T2^7 + 737*T1^2*T2^7 + 
     2546*T1^3*T2^7 - 4912*T1^4*T2^7 - 1577*T1^5*T2^7 + 8262*T1^6*T2^7 - 
     2662*T1^7*T2^7 - 2662*T1^8*T2^7 + 8262*T1^9*T2^7 - 1577*T1^10*T2^7 - 
     4912*T1^11*T2^7 + 2546*T1^12*T2^7 + 737*T1^13*T2^7 - 162*T1^14*T2^7 - 
     9*T1^15*T2^7 + T2^8 + 72*T1*T2^8 + 26*T1^2*T2^8 - 2448*T1^3*T2^8 + 
     682*T1^4*T2^8 + 6934*T1^5*T2^8 - 7424*T1^6*T2^8 - 2662*T1^7*T2^8 + 
     5016*T1^8*T2^8 - 2662*T1^9*T2^8 - 7424*T1^10*T2^8 + 6934*T1^11*T2^8 + 
     682*T1^12*T2^8 - 2448*T1^13*T2^8 + 26*T1^14*T2^8 + 72*T1^15*T2^8 + 
     T1^16*T2^8 - 9*T1*T2^9 - 162*T1^2*T2^9 + 737*T1^3*T2^9 + 
     2546*T1^4*T2^9 - 4912*T1^5*T2^9 - 1577*T1^6*T2^9 + 8262*T1^7*T2^9 - 
     2662*T1^8*T2^9 - 2662*T1^9*T2^9 + 8262*T1^10*T2^9 - 1577*T1^11*T2^9 - 
     4912*T1^12*T2^9 + 2546*T1^13*T2^9 + 737*T1^14*T2^9 - 162*T1^15*T2^9 - 
     9*T1^16*T2^9 + 27*T1^2*T2^10 + 161*T1^3*T2^10 - 1539*T1^4*T2^10 - 
     674*T1^5*T2^10 + 4982*T1^6*T2^10 - 1577*T1^7*T2^10 - 7424*T1^8*T2^10 + 
     8262*T1^9*T2^10 - 7424*T1^10*T2^10 - 1577*T1^11*T2^10 + 
     4982*T1^12*T2^10 - 674*T1^13*T2^10 - 1539*T1^14*T2^10 + 
     161*T1^15*T2^10 + 27*T1^16*T2^10 - 45*T1^3*T2^11 - 53*T1^4*T2^11 + 
     1688*T1^5*T2^11 - 674*T1^6*T2^11 - 4912*T1^7*T2^11 + 6934*T1^8*T2^11 - 
     1577*T1^9*T2^11 - 1577*T1^10*T2^11 + 6934*T1^11*T2^11 - 
     4912*T1^12*T2^11 - 674*T1^13*T2^11 + 1688*T1^14*T2^11 - 53*T1^15*T2^11 - 
     45*T1^16*T2^11 + 51*T1^4*T2^12 - 53*T1^5*T2^12 - 1539*T1^6*T2^12 + 
     2546*T1^7*T2^12 + 682*T1^8*T2^12 - 4912*T1^9*T2^12 + 4982*T1^10*T2^12 - 
     4912*T1^11*T2^12 + 682*T1^12*T2^12 + 2546*T1^13*T2^12 - 
     1539*T1^14*T2^12 - 53*T1^15*T2^12 + 51*T1^16*T2^12 - 45*T1^5*T2^13 + 
     161*T1^6*T2^13 + 737*T1^7*T2^13 - 2448*T1^8*T2^13 + 2546*T1^9*T2^13 - 
     674*T1^10*T2^13 - 674*T1^11*T2^13 + 2546*T1^12*T2^13 - 
     2448*T1^13*T2^13 + 737*T1^14*T2^13 + 161*T1^15*T2^13 - 45*T1^16*T2^13 + 
     27*T1^6*T2^14 - 162*T1^7*T2^14 + 26*T1^8*T2^14 + 737*T1^9*T2^14 - 
     1539*T1^10*T2^14 + 1688*T1^11*T2^14 - 1539*T1^12*T2^14 + 
     737*T1^13*T2^14 + 26*T1^14*T2^14 - 162*T1^15*T2^14 + 27*T1^16*T2^14 - 
     9*T1^7*T2^15 + 72*T1^8*T2^15 - 162*T1^9*T2^15 + 161*T1^10*T2^15 - 
     53*T1^11*T2^15 - 53*T1^12*T2^15 + 161*T1^13*T2^15 - 162*T1^14*T2^15 + 
     72*T1^15*T2^15 - 9*T1^16*T2^15 + T1^8*T2^16 - 9*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 - 9*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 
   (1 - 5*T1 + 4*T1^2 + 5*T1^3 + 4*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 16*T1*T2 + 
     28*T1^2*T2 - 71*T1^3*T2 - 71*T1^4*T2 + 28*T1^5*T2 + 16*T1^6*T2 - 
     5*T1^7*T2 + 4*T2^2 + 28*T1*T2^2 - 215*T1^2*T2^2 + 61*T1^3*T2^2 + 
     617*T1^4*T2^2 + 61*T1^5*T2^2 - 215*T1^6*T2^2 + 28*T1^7*T2^2 + 
     4*T1^8*T2^2 + 5*T2^3 - 71*T1*T2^3 + 61*T1^2*T2^3 + 1152*T1^3*T2^3 - 
     1802*T1^4*T2^3 - 1802*T1^5*T2^3 + 1152*T1^6*T2^3 + 61*T1^7*T2^3 - 
     71*T1^8*T2^3 + 5*T1^9*T2^3 + 4*T2^4 - 71*T1*T2^4 + 617*T1^2*T2^4 - 
     1802*T1^3*T2^4 - 1655*T1^4*T2^4 + 8895*T1^5*T2^4 - 1655*T1^6*T2^4 - 
     1802*T1^7*T2^4 + 617*T1^8*T2^4 - 71*T1^9*T2^4 + 4*T1^10*T2^4 - 5*T2^5 + 
     28*T1*T2^5 + 61*T1^2*T2^5 - 1802*T1^3*T2^5 + 8895*T1^4*T2^5 - 
     9720*T1^5*T2^5 - 9720*T1^6*T2^5 + 8895*T1^7*T2^5 - 1802*T1^8*T2^5 + 
     61*T1^9*T2^5 + 28*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 16*T1*T2^6 - 
     215*T1^2*T2^6 + 1152*T1^3*T2^6 - 1655*T1^4*T2^6 - 9720*T1^5*T2^6 + 
     26844*T1^6*T2^6 - 9720*T1^7*T2^6 - 1655*T1^8*T2^6 + 1152*T1^9*T2^6 - 
     215*T1^10*T2^6 + 16*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 + 28*T1^2*T2^7 + 
     61*T1^3*T2^7 - 1802*T1^4*T2^7 + 8895*T1^5*T2^7 - 9720*T1^6*T2^7 - 
     9720*T1^7*T2^7 + 8895*T1^8*T2^7 - 1802*T1^9*T2^7 + 61*T1^10*T2^7 + 
     28*T1^11*T2^7 - 5*T1^12*T2^7 + 4*T1^2*T2^8 - 71*T1^3*T2^8 + 
     617*T1^4*T2^8 - 1802*T1^5*T2^8 - 1655*T1^6*T2^8 + 8895*T1^7*T2^8 - 
     1655*T1^8*T2^8 - 1802*T1^9*T2^8 + 617*T1^10*T2^8 - 71*T1^11*T2^8 + 
     4*T1^12*T2^8 + 5*T1^3*T2^9 - 71*T1^4*T2^9 + 61*T1^5*T2^9 + 
     1152*T1^6*T2^9 - 1802*T1^7*T2^9 - 1802*T1^8*T2^9 + 1152*T1^9*T2^9 + 
     61*T1^10*T2^9 - 71*T1^11*T2^9 + 5*T1^12*T2^9 + 4*T1^4*T2^10 + 
     28*T1^5*T2^10 - 215*T1^6*T2^10 + 61*T1^7*T2^10 + 617*T1^8*T2^10 + 
     61*T1^9*T2^10 - 215*T1^10*T2^10 + 28*T1^11*T2^10 + 4*T1^12*T2^10 - 
     5*T1^5*T2^11 + 16*T1^6*T2^11 + 28*T1^7*T2^11 - 71*T1^8*T2^11 - 
     71*T1^9*T2^11 + 28*T1^10*T2^11 + 16*T1^11*T2^11 - 5*T1^12*T2^11 + 
     T1^6*T2^12 - 5*T1^7*T2^12 + 4*T1^8*T2^12 + 5*T1^9*T2^12 + 
     4*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 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), -((2 - 8*T1 + 18*T1^2 - 30*T1^3 + 36*T1^4 - 
      38*T1^5 + 36*T1^6 - 30*T1^7 + 18*T1^8 - 8*T1^9 + 2*T1^10 - 8*T2 + 
      24*T1*T2 - 40*T1^2*T2 + 48*T1^3*T2 - 24*T1^4*T2 + 8*T1^5*T2 + 
      8*T1^6*T2 - 24*T1^7*T2 + 48*T1^8*T2 - 40*T1^9*T2 + 24*T1^10*T2 - 
      8*T1^11*T2 + 18*T2^2 - 40*T1*T2^2 + 51*T1^2*T2^2 - 50*T1^3*T2^2 - 
      5*T1^4*T2^2 - 17*T1^5*T2^2 + 19*T1^6*T2^2 - 17*T1^7*T2^2 - 
      5*T1^8*T2^2 - 50*T1^9*T2^2 + 51*T1^10*T2^2 - 40*T1^11*T2^2 + 
      18*T1^12*T2^2 - 30*T2^3 + 48*T1*T2^3 - 50*T1^2*T2^3 + 48*T1^3*T2^3 + 
      39*T1^4*T2^3 + 53*T1^5*T2^3 - 10*T1^6*T2^3 - 10*T1^7*T2^3 + 
      53*T1^8*T2^3 + 39*T1^9*T2^3 + 48*T1^10*T2^3 - 50*T1^11*T2^3 + 
      48*T1^12*T2^3 - 30*T1^13*T2^3 + 36*T2^4 - 24*T1*T2^4 - 5*T1^2*T2^4 + 
      39*T1^3*T2^4 - 186*T1^4*T2^4 + 26*T1^5*T2^4 - 196*T1^6*T2^4 + 
      186*T1^7*T2^4 - 196*T1^8*T2^4 + 26*T1^9*T2^4 - 186*T1^10*T2^4 + 
      39*T1^11*T2^4 - 5*T1^12*T2^4 - 24*T1^13*T2^4 + 36*T1^14*T2^4 - 
      38*T2^5 + 8*T1*T2^5 - 17*T1^2*T2^5 + 53*T1^3*T2^5 + 26*T1^4*T2^5 + 
      250*T1^5*T2^5 + 84*T1^6*T2^5 + 19*T1^7*T2^5 + 19*T1^8*T2^5 + 
      84*T1^9*T2^5 + 250*T1^10*T2^5 + 26*T1^11*T2^5 + 53*T1^12*T2^5 - 
      17*T1^13*T2^5 + 8*T1^14*T2^5 - 38*T1^15*T2^5 + 36*T2^6 + 8*T1*T2^6 + 
      19*T1^2*T2^6 - 10*T1^3*T2^6 - 196*T1^4*T2^6 + 84*T1^5*T2^6 - 
      701*T1^6*T2^6 + 476*T1^7*T2^6 - 577*T1^8*T2^6 + 476*T1^9*T2^6 - 
      701*T1^10*T2^6 + 84*T1^11*T2^6 - 196*T1^12*T2^6 - 10*T1^13*T2^6 + 
      19*T1^14*T2^6 + 8*T1^15*T2^6 + 36*T1^16*T2^6 - 30*T2^7 - 24*T1*T2^7 - 
      17*T1^2*T2^7 - 10*T1^3*T2^7 + 186*T1^4*T2^7 + 19*T1^5*T2^7 + 
      476*T1^6*T2^7 + 66*T1^7*T2^7 + 72*T1^8*T2^7 + 72*T1^9*T2^7 + 
      66*T1^10*T2^7 + 476*T1^11*T2^7 + 19*T1^12*T2^7 + 186*T1^13*T2^7 - 
      10*T1^14*T2^7 - 17*T1^15*T2^7 - 24*T1^16*T2^7 - 30*T1^17*T2^7 + 
      18*T2^8 + 48*T1*T2^8 - 5*T1^2*T2^8 + 53*T1^3*T2^8 - 196*T1^4*T2^8 + 
      19*T1^5*T2^8 - 577*T1^6*T2^8 + 72*T1^7*T2^8 - 439*T1^8*T2^8 + 
      305*T1^9*T2^8 - 439*T1^10*T2^8 + 72*T1^11*T2^8 - 577*T1^12*T2^8 + 
      19*T1^13*T2^8 - 196*T1^14*T2^8 + 53*T1^15*T2^8 - 5*T1^16*T2^8 + 
      48*T1^17*T2^8 + 18*T1^18*T2^8 - 8*T2^9 - 40*T1*T2^9 - 50*T1^2*T2^9 + 
      39*T1^3*T2^9 + 26*T1^4*T2^9 + 84*T1^5*T2^9 + 476*T1^6*T2^9 + 
      72*T1^7*T2^9 + 305*T1^8*T2^9 + 14*T1^9*T2^9 + 14*T1^10*T2^9 + 
      305*T1^11*T2^9 + 72*T1^12*T2^9 + 476*T1^13*T2^9 + 84*T1^14*T2^9 + 
      26*T1^15*T2^9 + 39*T1^16*T2^9 - 50*T1^17*T2^9 - 40*T1^18*T2^9 - 
      8*T1^19*T2^9 + 2*T2^10 + 24*T1*T2^10 + 51*T1^2*T2^10 + 48*T1^3*T2^10 - 
      186*T1^4*T2^10 + 250*T1^5*T2^10 - 701*T1^6*T2^10 + 66*T1^7*T2^10 - 
      439*T1^8*T2^10 + 14*T1^9*T2^10 - 132*T1^10*T2^10 + 14*T1^11*T2^10 - 
      439*T1^12*T2^10 + 66*T1^13*T2^10 - 701*T1^14*T2^10 + 250*T1^15*T2^10 - 
      186*T1^16*T2^10 + 48*T1^17*T2^10 + 51*T1^18*T2^10 + 24*T1^19*T2^10 + 
      2*T1^20*T2^10 - 8*T1*T2^11 - 40*T1^2*T2^11 - 50*T1^3*T2^11 + 
      39*T1^4*T2^11 + 26*T1^5*T2^11 + 84*T1^6*T2^11 + 476*T1^7*T2^11 + 
      72*T1^8*T2^11 + 305*T1^9*T2^11 + 14*T1^10*T2^11 + 14*T1^11*T2^11 + 
      305*T1^12*T2^11 + 72*T1^13*T2^11 + 476*T1^14*T2^11 + 84*T1^15*T2^11 + 
      26*T1^16*T2^11 + 39*T1^17*T2^11 - 50*T1^18*T2^11 - 40*T1^19*T2^11 - 
      8*T1^20*T2^11 + 18*T1^2*T2^12 + 48*T1^3*T2^12 - 5*T1^4*T2^12 + 
      53*T1^5*T2^12 - 196*T1^6*T2^12 + 19*T1^7*T2^12 - 577*T1^8*T2^12 + 
      72*T1^9*T2^12 - 439*T1^10*T2^12 + 305*T1^11*T2^12 - 439*T1^12*T2^12 + 
      72*T1^13*T2^12 - 577*T1^14*T2^12 + 19*T1^15*T2^12 - 196*T1^16*T2^12 + 
      53*T1^17*T2^12 - 5*T1^18*T2^12 + 48*T1^19*T2^12 + 18*T1^20*T2^12 - 
      30*T1^3*T2^13 - 24*T1^4*T2^13 - 17*T1^5*T2^13 - 10*T1^6*T2^13 + 
      186*T1^7*T2^13 + 19*T1^8*T2^13 + 476*T1^9*T2^13 + 66*T1^10*T2^13 + 
      72*T1^11*T2^13 + 72*T1^12*T2^13 + 66*T1^13*T2^13 + 476*T1^14*T2^13 + 
      19*T1^15*T2^13 + 186*T1^16*T2^13 - 10*T1^17*T2^13 - 17*T1^18*T2^13 - 
      24*T1^19*T2^13 - 30*T1^20*T2^13 + 36*T1^4*T2^14 + 8*T1^5*T2^14 + 
      19*T1^6*T2^14 - 10*T1^7*T2^14 - 196*T1^8*T2^14 + 84*T1^9*T2^14 - 
      701*T1^10*T2^14 + 476*T1^11*T2^14 - 577*T1^12*T2^14 + 476*T1^13*T2^14 - 
      701*T1^14*T2^14 + 84*T1^15*T2^14 - 196*T1^16*T2^14 - 10*T1^17*T2^14 + 
      19*T1^18*T2^14 + 8*T1^19*T2^14 + 36*T1^20*T2^14 - 38*T1^5*T2^15 + 
      8*T1^6*T2^15 - 17*T1^7*T2^15 + 53*T1^8*T2^15 + 26*T1^9*T2^15 + 
      250*T1^10*T2^15 + 84*T1^11*T2^15 + 19*T1^12*T2^15 + 19*T1^13*T2^15 + 
      84*T1^14*T2^15 + 250*T1^15*T2^15 + 26*T1^16*T2^15 + 53*T1^17*T2^15 - 
      17*T1^18*T2^15 + 8*T1^19*T2^15 - 38*T1^20*T2^15 + 36*T1^6*T2^16 - 
      24*T1^7*T2^16 - 5*T1^8*T2^16 + 39*T1^9*T2^16 - 186*T1^10*T2^16 + 
      26*T1^11*T2^16 - 196*T1^12*T2^16 + 186*T1^13*T2^16 - 196*T1^14*T2^16 + 
      26*T1^15*T2^16 - 186*T1^16*T2^16 + 39*T1^17*T2^16 - 5*T1^18*T2^16 - 
      24*T1^19*T2^16 + 36*T1^20*T2^16 - 30*T1^7*T2^17 + 48*T1^8*T2^17 - 
      50*T1^9*T2^17 + 48*T1^10*T2^17 + 39*T1^11*T2^17 + 53*T1^12*T2^17 - 
      10*T1^13*T2^17 - 10*T1^14*T2^17 + 53*T1^15*T2^17 + 39*T1^16*T2^17 + 
      48*T1^17*T2^17 - 50*T1^18*T2^17 + 48*T1^19*T2^17 - 30*T1^20*T2^17 + 
      18*T1^8*T2^18 - 40*T1^9*T2^18 + 51*T1^10*T2^18 - 50*T1^11*T2^18 - 
      5*T1^12*T2^18 - 17*T1^13*T2^18 + 19*T1^14*T2^18 - 17*T1^15*T2^18 - 
      5*T1^16*T2^18 - 50*T1^17*T2^18 + 51*T1^18*T2^18 - 40*T1^19*T2^18 + 
      18*T1^20*T2^18 - 8*T1^9*T2^19 + 24*T1^10*T2^19 - 40*T1^11*T2^19 + 
      48*T1^12*T2^19 - 24*T1^13*T2^19 + 8*T1^14*T2^19 + 8*T1^15*T2^19 - 
      24*T1^16*T2^19 + 48*T1^17*T2^19 - 40*T1^18*T2^19 + 24*T1^19*T2^19 - 
      8*T1^20*T2^19 + 2*T1^10*T2^20 - 8*T1^11*T2^20 + 18*T1^12*T2^20 - 
      30*T1^13*T2^20 + 36*T1^14*T2^20 - 38*T1^15*T2^20 + 36*T1^16*T2^20 - 
      30*T1^17*T2^20 + 18*T1^18*T2^20 - 8*T1^19*T2^20 + 2*T1^20*T2^20)/
     (T1^10*T2^10))}, 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), -((9 - 40*T1 + 97*T1^2 - 167*T1^3 + 197*T1^4 - 167*T1^5 + 
      97*T1^6 - 40*T1^7 + 9*T1^8 - 40*T2 + 138*T1*T2 - 254*T1^2*T2 + 
      312*T1^3*T2 - 134*T1^4*T2 - 134*T1^5*T2 + 312*T1^6*T2 - 254*T1^7*T2 + 
      138*T1^8*T2 - 40*T1^9*T2 + 97*T2^2 - 254*T1*T2^2 + 345*T1^2*T2^2 - 
      281*T1^3*T2^2 - 216*T1^4*T2^2 + 419*T1^5*T2^2 - 216*T1^6*T2^2 - 
      281*T1^7*T2^2 + 345*T1^8*T2^2 - 254*T1^9*T2^2 + 97*T1^10*T2^2 - 
      167*T2^3 + 312*T1*T2^3 - 281*T1^2*T2^3 + 96*T1^3*T2^3 + 645*T1^4*T2^3 - 
      296*T1^5*T2^3 - 296*T1^6*T2^3 + 645*T1^7*T2^3 + 96*T1^8*T2^3 - 
      281*T1^9*T2^3 + 312*T1^10*T2^3 - 167*T1^11*T2^3 + 197*T2^4 - 
      134*T1*T2^4 - 216*T1^2*T2^4 + 645*T1^3*T2^4 - 1589*T1^4*T2^4 + 
      350*T1^5*T2^4 + 59*T1^6*T2^4 + 350*T1^7*T2^4 - 1589*T1^8*T2^4 + 
      645*T1^9*T2^4 - 216*T1^10*T2^4 - 134*T1^11*T2^4 + 197*T1^12*T2^4 - 
      167*T2^5 - 134*T1*T2^5 + 419*T1^2*T2^5 - 296*T1^3*T2^5 + 
      350*T1^4*T2^5 + 2060*T1^5*T2^5 - 921*T1^6*T2^5 - 921*T1^7*T2^5 + 
      2060*T1^8*T2^5 + 350*T1^9*T2^5 - 296*T1^10*T2^5 + 419*T1^11*T2^5 - 
      134*T1^12*T2^5 - 167*T1^13*T2^5 + 97*T2^6 + 312*T1*T2^6 - 
      216*T1^2*T2^6 - 296*T1^3*T2^6 + 59*T1^4*T2^6 - 921*T1^5*T2^6 - 
      3669*T1^6*T2^6 + 5343*T1^7*T2^6 - 3669*T1^8*T2^6 - 921*T1^9*T2^6 + 
      59*T1^10*T2^6 - 296*T1^11*T2^6 - 216*T1^12*T2^6 + 312*T1^13*T2^6 + 
      97*T1^14*T2^6 - 40*T2^7 - 254*T1*T2^7 - 281*T1^2*T2^7 + 645*T1^3*T2^7 + 
      350*T1^4*T2^7 - 921*T1^5*T2^7 + 5343*T1^6*T2^7 - 2370*T1^7*T2^7 - 
      2370*T1^8*T2^7 + 5343*T1^9*T2^7 - 921*T1^10*T2^7 + 350*T1^11*T2^7 + 
      645*T1^12*T2^7 - 281*T1^13*T2^7 - 254*T1^14*T2^7 - 40*T1^15*T2^7 + 
      9*T2^8 + 138*T1*T2^8 + 345*T1^2*T2^8 + 96*T1^3*T2^8 - 1589*T1^4*T2^8 + 
      2060*T1^5*T2^8 - 3669*T1^6*T2^8 - 2370*T1^7*T2^8 + 4632*T1^8*T2^8 - 
      2370*T1^9*T2^8 - 3669*T1^10*T2^8 + 2060*T1^11*T2^8 - 1589*T1^12*T2^8 + 
      96*T1^13*T2^8 + 345*T1^14*T2^8 + 138*T1^15*T2^8 + 9*T1^16*T2^8 - 
      40*T1*T2^9 - 254*T1^2*T2^9 - 281*T1^3*T2^9 + 645*T1^4*T2^9 + 
      350*T1^5*T2^9 - 921*T1^6*T2^9 + 5343*T1^7*T2^9 - 2370*T1^8*T2^9 - 
      2370*T1^9*T2^9 + 5343*T1^10*T2^9 - 921*T1^11*T2^9 + 350*T1^12*T2^9 + 
      645*T1^13*T2^9 - 281*T1^14*T2^9 - 254*T1^15*T2^9 - 40*T1^16*T2^9 + 
      97*T1^2*T2^10 + 312*T1^3*T2^10 - 216*T1^4*T2^10 - 296*T1^5*T2^10 + 
      59*T1^6*T2^10 - 921*T1^7*T2^10 - 3669*T1^8*T2^10 + 5343*T1^9*T2^10 - 
      3669*T1^10*T2^10 - 921*T1^11*T2^10 + 59*T1^12*T2^10 - 296*T1^13*T2^10 - 
      216*T1^14*T2^10 + 312*T1^15*T2^10 + 97*T1^16*T2^10 - 167*T1^3*T2^11 - 
      134*T1^4*T2^11 + 419*T1^5*T2^11 - 296*T1^6*T2^11 + 350*T1^7*T2^11 + 
      2060*T1^8*T2^11 - 921*T1^9*T2^11 - 921*T1^10*T2^11 + 2060*T1^11*T2^11 + 
      350*T1^12*T2^11 - 296*T1^13*T2^11 + 419*T1^14*T2^11 - 134*T1^15*T2^11 - 
      167*T1^16*T2^11 + 197*T1^4*T2^12 - 134*T1^5*T2^12 - 216*T1^6*T2^12 + 
      645*T1^7*T2^12 - 1589*T1^8*T2^12 + 350*T1^9*T2^12 + 59*T1^10*T2^12 + 
      350*T1^11*T2^12 - 1589*T1^12*T2^12 + 645*T1^13*T2^12 - 
      216*T1^14*T2^12 - 134*T1^15*T2^12 + 197*T1^16*T2^12 - 167*T1^5*T2^13 + 
      312*T1^6*T2^13 - 281*T1^7*T2^13 + 96*T1^8*T2^13 + 645*T1^9*T2^13 - 
      296*T1^10*T2^13 - 296*T1^11*T2^13 + 645*T1^12*T2^13 + 96*T1^13*T2^13 - 
      281*T1^14*T2^13 + 312*T1^15*T2^13 - 167*T1^16*T2^13 + 97*T1^6*T2^14 - 
      254*T1^7*T2^14 + 345*T1^8*T2^14 - 281*T1^9*T2^14 - 216*T1^10*T2^14 + 
      419*T1^11*T2^14 - 216*T1^12*T2^14 - 281*T1^13*T2^14 + 345*T1^14*T2^14 - 
      254*T1^15*T2^14 + 97*T1^16*T2^14 - 40*T1^7*T2^15 + 138*T1^8*T2^15 - 
      254*T1^9*T2^15 + 312*T1^10*T2^15 - 134*T1^11*T2^15 - 134*T1^12*T2^15 + 
      312*T1^13*T2^15 - 254*T1^14*T2^15 + 138*T1^15*T2^15 - 40*T1^16*T2^15 + 
      9*T1^8*T2^16 - 40*T1^9*T2^16 + 97*T1^10*T2^16 - 167*T1^11*T2^16 + 
      197*T1^12*T2^16 - 167*T1^13*T2^16 + 97*T1^14*T2^16 - 40*T1^15*T2^16 + 
      9*T1^16*T2^16)/(T1^8*T2^8))}, 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, -((1 - 4*T1 + 10*T1^2 - 17*T1^3 + 21*T1^4 - 17*T1^5 + 10*T1^6 - 
      4*T1^7 + T1^8 - 4*T2 + 12*T1*T2 - 24*T1^2*T2 + 28*T1^3*T2 - 
      16*T1^4*T2 - 16*T1^5*T2 + 28*T1^6*T2 - 24*T1^7*T2 + 12*T1^8*T2 - 
      4*T1^9*T2 + 10*T2^2 - 24*T1*T2^2 + 51*T1^2*T2^2 - 83*T1^3*T2^2 + 
      135*T1^4*T2^2 - 139*T1^5*T2^2 + 135*T1^6*T2^2 - 83*T1^7*T2^2 + 
      51*T1^8*T2^2 - 24*T1^9*T2^2 + 10*T1^10*T2^2 - 17*T2^3 + 28*T1*T2^3 - 
      83*T1^2*T2^3 + 182*T1^3*T2^3 - 318*T1^4*T2^3 + 133*T1^5*T2^3 + 
      133*T1^6*T2^3 - 318*T1^7*T2^3 + 182*T1^8*T2^3 - 83*T1^9*T2^3 + 
      28*T1^10*T2^3 - 17*T1^11*T2^3 + 21*T2^4 - 16*T1*T2^4 + 135*T1^2*T2^4 - 
      318*T1^3*T2^4 + 443*T1^4*T2^4 + 187*T1^5*T2^4 - 431*T1^6*T2^4 + 
      187*T1^7*T2^4 + 443*T1^8*T2^4 - 318*T1^9*T2^4 + 135*T1^10*T2^4 - 
      16*T1^11*T2^4 + 21*T1^12*T2^4 - 17*T2^5 - 16*T1*T2^5 - 139*T1^2*T2^5 + 
      133*T1^3*T2^5 + 187*T1^4*T2^5 - 1258*T1^5*T2^5 + 522*T1^6*T2^5 + 
      522*T1^7*T2^5 - 1258*T1^8*T2^5 + 187*T1^9*T2^5 + 133*T1^10*T2^5 - 
      139*T1^11*T2^5 - 16*T1^12*T2^5 - 17*T1^13*T2^5 + 10*T2^6 + 28*T1*T2^6 + 
      135*T1^2*T2^6 + 133*T1^3*T2^6 - 431*T1^4*T2^6 + 522*T1^5*T2^6 + 
      2049*T1^6*T2^6 - 2637*T1^7*T2^6 + 2049*T1^8*T2^6 + 522*T1^9*T2^6 - 
      431*T1^10*T2^6 + 133*T1^11*T2^6 + 135*T1^12*T2^6 + 28*T1^13*T2^6 + 
      10*T1^14*T2^6 - 4*T2^7 - 24*T1*T2^7 - 83*T1^2*T2^7 - 318*T1^3*T2^7 + 
      187*T1^4*T2^7 + 522*T1^5*T2^7 - 2637*T1^6*T2^7 + 694*T1^7*T2^7 + 
      694*T1^8*T2^7 - 2637*T1^9*T2^7 + 522*T1^10*T2^7 + 187*T1^11*T2^7 - 
      318*T1^12*T2^7 - 83*T1^13*T2^7 - 24*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 
      12*T1*T2^8 + 51*T1^2*T2^8 + 182*T1^3*T2^8 + 443*T1^4*T2^8 - 
      1258*T1^5*T2^8 + 2049*T1^6*T2^8 + 694*T1^7*T2^8 - 564*T1^8*T2^8 + 
      694*T1^9*T2^8 + 2049*T1^10*T2^8 - 1258*T1^11*T2^8 + 443*T1^12*T2^8 + 
      182*T1^13*T2^8 + 51*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 
      4*T1*T2^9 - 24*T1^2*T2^9 - 83*T1^3*T2^9 - 318*T1^4*T2^9 + 
      187*T1^5*T2^9 + 522*T1^6*T2^9 - 2637*T1^7*T2^9 + 694*T1^8*T2^9 + 
      694*T1^9*T2^9 - 2637*T1^10*T2^9 + 522*T1^11*T2^9 + 187*T1^12*T2^9 - 
      318*T1^13*T2^9 - 83*T1^14*T2^9 - 24*T1^15*T2^9 - 4*T1^16*T2^9 + 
      10*T1^2*T2^10 + 28*T1^3*T2^10 + 135*T1^4*T2^10 + 133*T1^5*T2^10 - 
      431*T1^6*T2^10 + 522*T1^7*T2^10 + 2049*T1^8*T2^10 - 2637*T1^9*T2^10 + 
      2049*T1^10*T2^10 + 522*T1^11*T2^10 - 431*T1^12*T2^10 + 
      133*T1^13*T2^10 + 135*T1^14*T2^10 + 28*T1^15*T2^10 + 10*T1^16*T2^10 - 
      17*T1^3*T2^11 - 16*T1^4*T2^11 - 139*T1^5*T2^11 + 133*T1^6*T2^11 + 
      187*T1^7*T2^11 - 1258*T1^8*T2^11 + 522*T1^9*T2^11 + 522*T1^10*T2^11 - 
      1258*T1^11*T2^11 + 187*T1^12*T2^11 + 133*T1^13*T2^11 - 
      139*T1^14*T2^11 - 16*T1^15*T2^11 - 17*T1^16*T2^11 + 21*T1^4*T2^12 - 
      16*T1^5*T2^12 + 135*T1^6*T2^12 - 318*T1^7*T2^12 + 443*T1^8*T2^12 + 
      187*T1^9*T2^12 - 431*T1^10*T2^12 + 187*T1^11*T2^12 + 443*T1^12*T2^12 - 
      318*T1^13*T2^12 + 135*T1^14*T2^12 - 16*T1^15*T2^12 + 21*T1^16*T2^12 - 
      17*T1^5*T2^13 + 28*T1^6*T2^13 - 83*T1^7*T2^13 + 182*T1^8*T2^13 - 
      318*T1^9*T2^13 + 133*T1^10*T2^13 + 133*T1^11*T2^13 - 318*T1^12*T2^13 + 
      182*T1^13*T2^13 - 83*T1^14*T2^13 + 28*T1^15*T2^13 - 17*T1^16*T2^13 + 
      10*T1^6*T2^14 - 24*T1^7*T2^14 + 51*T1^8*T2^14 - 83*T1^9*T2^14 + 
      135*T1^10*T2^14 - 139*T1^11*T2^14 + 135*T1^12*T2^14 - 83*T1^13*T2^14 + 
      51*T1^14*T2^14 - 24*T1^15*T2^14 + 10*T1^16*T2^14 - 4*T1^7*T2^15 + 
      12*T1^8*T2^15 - 24*T1^9*T2^15 + 28*T1^10*T2^15 - 16*T1^11*T2^15 - 
      16*T1^12*T2^15 + 28*T1^13*T2^15 - 24*T1^14*T2^15 + 12*T1^15*T2^15 - 
      4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 10*T1^10*T2^16 - 
      17*T1^11*T2^16 + 21*T1^12*T2^16 - 17*T1^13*T2^16 + 10*T1^14*T2^16 - 
      4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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), (1 - 9*T1 + 28*T1^2 - 48*T1^3 + 55*T1^4 - 48*T1^5 + 28*T1^6 - 
     9*T1^7 + T1^8 - 9*T2 + 72*T1*T2 - 171*T1^2*T2 + 180*T1^3*T2 - 
     63*T1^4*T2 - 63*T1^5*T2 + 180*T1^6*T2 - 171*T1^7*T2 + 72*T1^8*T2 - 
     9*T1^9*T2 + 28*T2^2 - 171*T1*T2^2 + 85*T1^2*T2^2 + 662*T1^3*T2^2 - 
     1533*T1^4*T2^2 + 1723*T1^5*T2^2 - 1533*T1^6*T2^2 + 662*T1^7*T2^2 + 
     85*T1^8*T2^2 - 171*T1^9*T2^2 + 28*T1^10*T2^2 - 48*T2^3 + 180*T1*T2^3 + 
     662*T1^2*T2^3 - 2528*T1^3*T2^3 + 2836*T1^4*T2^3 - 818*T1^5*T2^3 - 
     818*T1^6*T2^3 + 2836*T1^7*T2^3 - 2528*T1^8*T2^3 + 662*T1^9*T2^3 + 
     180*T1^10*T2^3 - 48*T1^11*T2^3 + 55*T2^4 - 63*T1*T2^4 - 1533*T1^2*T2^4 + 
     2836*T1^3*T2^4 + 591*T1^4*T2^4 - 5698*T1^5*T2^4 + 6083*T1^6*T2^4 - 
     5698*T1^7*T2^4 + 591*T1^8*T2^4 + 2836*T1^9*T2^4 - 1533*T1^10*T2^4 - 
     63*T1^11*T2^4 + 55*T1^12*T2^4 - 48*T2^5 - 63*T1*T2^5 + 1723*T1^2*T2^5 - 
     818*T1^3*T2^5 - 5698*T1^4*T2^5 + 8522*T1^5*T2^5 - 2147*T1^6*T2^5 - 
     2147*T1^7*T2^5 + 8522*T1^8*T2^5 - 5698*T1^9*T2^5 - 818*T1^10*T2^5 + 
     1723*T1^11*T2^5 - 63*T1^12*T2^5 - 48*T1^13*T2^5 + 28*T2^6 + 
     180*T1*T2^6 - 1533*T1^2*T2^6 - 818*T1^3*T2^6 + 6083*T1^4*T2^6 - 
     2147*T1^5*T2^6 - 8956*T1^6*T2^6 + 10056*T1^7*T2^6 - 8956*T1^8*T2^6 - 
     2147*T1^9*T2^6 + 6083*T1^10*T2^6 - 818*T1^11*T2^6 - 1533*T1^12*T2^6 + 
     180*T1^13*T2^6 + 28*T1^14*T2^6 - 9*T2^7 - 171*T1*T2^7 + 662*T1^2*T2^7 + 
     2836*T1^3*T2^7 - 5698*T1^4*T2^7 - 2147*T1^5*T2^7 + 10056*T1^6*T2^7 - 
     2980*T1^7*T2^7 - 2980*T1^8*T2^7 + 10056*T1^9*T2^7 - 2147*T1^10*T2^7 - 
     5698*T1^11*T2^7 + 2836*T1^12*T2^7 + 662*T1^13*T2^7 - 171*T1^14*T2^7 - 
     9*T1^15*T2^7 + T2^8 + 72*T1*T2^8 + 85*T1^2*T2^8 - 2528*T1^3*T2^8 + 
     591*T1^4*T2^8 + 8522*T1^5*T2^8 - 8956*T1^6*T2^8 - 2980*T1^7*T2^8 + 
     5028*T1^8*T2^8 - 2980*T1^9*T2^8 - 8956*T1^10*T2^8 + 8522*T1^11*T2^8 + 
     591*T1^12*T2^8 - 2528*T1^13*T2^8 + 85*T1^14*T2^8 + 72*T1^15*T2^8 + 
     T1^16*T2^8 - 9*T1*T2^9 - 171*T1^2*T2^9 + 662*T1^3*T2^9 + 
     2836*T1^4*T2^9 - 5698*T1^5*T2^9 - 2147*T1^6*T2^9 + 10056*T1^7*T2^9 - 
     2980*T1^8*T2^9 - 2980*T1^9*T2^9 + 10056*T1^10*T2^9 - 2147*T1^11*T2^9 - 
     5698*T1^12*T2^9 + 2836*T1^13*T2^9 + 662*T1^14*T2^9 - 171*T1^15*T2^9 - 
     9*T1^16*T2^9 + 28*T1^2*T2^10 + 180*T1^3*T2^10 - 1533*T1^4*T2^10 - 
     818*T1^5*T2^10 + 6083*T1^6*T2^10 - 2147*T1^7*T2^10 - 8956*T1^8*T2^10 + 
     10056*T1^9*T2^10 - 8956*T1^10*T2^10 - 2147*T1^11*T2^10 + 
     6083*T1^12*T2^10 - 818*T1^13*T2^10 - 1533*T1^14*T2^10 + 
     180*T1^15*T2^10 + 28*T1^16*T2^10 - 48*T1^3*T2^11 - 63*T1^4*T2^11 + 
     1723*T1^5*T2^11 - 818*T1^6*T2^11 - 5698*T1^7*T2^11 + 8522*T1^8*T2^11 - 
     2147*T1^9*T2^11 - 2147*T1^10*T2^11 + 8522*T1^11*T2^11 - 
     5698*T1^12*T2^11 - 818*T1^13*T2^11 + 1723*T1^14*T2^11 - 63*T1^15*T2^11 - 
     48*T1^16*T2^11 + 55*T1^4*T2^12 - 63*T1^5*T2^12 - 1533*T1^6*T2^12 + 
     2836*T1^7*T2^12 + 591*T1^8*T2^12 - 5698*T1^9*T2^12 + 6083*T1^10*T2^12 - 
     5698*T1^11*T2^12 + 591*T1^12*T2^12 + 2836*T1^13*T2^12 - 
     1533*T1^14*T2^12 - 63*T1^15*T2^12 + 55*T1^16*T2^12 - 48*T1^5*T2^13 + 
     180*T1^6*T2^13 + 662*T1^7*T2^13 - 2528*T1^8*T2^13 + 2836*T1^9*T2^13 - 
     818*T1^10*T2^13 - 818*T1^11*T2^13 + 2836*T1^12*T2^13 - 
     2528*T1^13*T2^13 + 662*T1^14*T2^13 + 180*T1^15*T2^13 - 48*T1^16*T2^13 + 
     28*T1^6*T2^14 - 171*T1^7*T2^14 + 85*T1^8*T2^14 + 662*T1^9*T2^14 - 
     1533*T1^10*T2^14 + 1723*T1^11*T2^14 - 1533*T1^12*T2^14 + 
     662*T1^13*T2^14 + 85*T1^14*T2^14 - 171*T1^15*T2^14 + 28*T1^16*T2^14 - 
     9*T1^7*T2^15 + 72*T1^8*T2^15 - 171*T1^9*T2^15 + 180*T1^10*T2^15 - 
     63*T1^11*T2^15 - 63*T1^12*T2^15 + 180*T1^13*T2^15 - 171*T1^14*T2^15 + 
     72*T1^15*T2^15 - 9*T1^16*T2^15 + T1^8*T2^16 - 9*T1^9*T2^16 + 
     28*T1^10*T2^16 - 48*T1^11*T2^16 + 55*T1^12*T2^16 - 48*T1^13*T2^16 + 
     28*T1^14*T2^16 - 9*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 1055] -> 
  {-((2 - 17*T + 50*T^2 - 71*T^3 + 50*T^4 - 17*T^5 + 2*T^6)/T^3), 
   (1 - 9*T1 + 26*T1^2 - 37*T1^3 + 26*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
     72*T1*T2 - 153*T1^2*T2 + 99*T1^3*T2 + 99*T1^4*T2 - 153*T1^5*T2 + 
     72*T1^6*T2 - 9*T1^7*T2 + 26*T2^2 - 153*T1*T2^2 - 68*T1^2*T2^2 + 
     1090*T1^3*T2^2 - 1930*T1^4*T2^2 + 1090*T1^5*T2^2 - 68*T1^6*T2^2 - 
     153*T1^7*T2^2 + 26*T1^8*T2^2 - 37*T2^3 + 99*T1*T2^3 + 1090*T1^2*T2^3 - 
     3248*T1^3*T2^3 + 2405*T1^4*T2^3 + 2405*T1^5*T2^3 - 3248*T1^6*T2^3 + 
     1090*T1^7*T2^3 + 99*T1^8*T2^3 - 37*T1^9*T2^3 + 26*T2^4 + 99*T1*T2^4 - 
     1930*T1^2*T2^4 + 2405*T1^3*T2^4 + 4076*T1^4*T2^4 - 11068*T1^5*T2^4 + 
     4076*T1^6*T2^4 + 2405*T1^7*T2^4 - 1930*T1^8*T2^4 + 99*T1^9*T2^4 + 
     26*T1^10*T2^4 - 9*T2^5 - 153*T1*T2^5 + 1090*T1^2*T2^5 + 2405*T1^3*T2^5 - 
     11068*T1^4*T2^5 + 9298*T1^5*T2^5 + 9298*T1^6*T2^5 - 11068*T1^7*T2^5 + 
     2405*T1^8*T2^5 + 1090*T1^9*T2^5 - 153*T1^10*T2^5 - 9*T1^11*T2^5 + T2^6 + 
     72*T1*T2^6 - 68*T1^2*T2^6 - 3248*T1^3*T2^6 + 4076*T1^4*T2^6 + 
     9298*T1^5*T2^6 - 24072*T1^6*T2^6 + 9298*T1^7*T2^6 + 4076*T1^8*T2^6 - 
     3248*T1^9*T2^6 - 68*T1^10*T2^6 + 72*T1^11*T2^6 + T1^12*T2^6 - 
     9*T1*T2^7 - 153*T1^2*T2^7 + 1090*T1^3*T2^7 + 2405*T1^4*T2^7 - 
     11068*T1^5*T2^7 + 9298*T1^6*T2^7 + 9298*T1^7*T2^7 - 11068*T1^8*T2^7 + 
     2405*T1^9*T2^7 + 1090*T1^10*T2^7 - 153*T1^11*T2^7 - 9*T1^12*T2^7 + 
     26*T1^2*T2^8 + 99*T1^3*T2^8 - 1930*T1^4*T2^8 + 2405*T1^5*T2^8 + 
     4076*T1^6*T2^8 - 11068*T1^7*T2^8 + 4076*T1^8*T2^8 + 2405*T1^9*T2^8 - 
     1930*T1^10*T2^8 + 99*T1^11*T2^8 + 26*T1^12*T2^8 - 37*T1^3*T2^9 + 
     99*T1^4*T2^9 + 1090*T1^5*T2^9 - 3248*T1^6*T2^9 + 2405*T1^7*T2^9 + 
     2405*T1^8*T2^9 - 3248*T1^9*T2^9 + 1090*T1^10*T2^9 + 99*T1^11*T2^9 - 
     37*T1^12*T2^9 + 26*T1^4*T2^10 - 153*T1^5*T2^10 - 68*T1^6*T2^10 + 
     1090*T1^7*T2^10 - 1930*T1^8*T2^10 + 1090*T1^9*T2^10 - 68*T1^10*T2^10 - 
     153*T1^11*T2^10 + 26*T1^12*T2^10 - 9*T1^5*T2^11 + 72*T1^6*T2^11 - 
     153*T1^7*T2^11 + 99*T1^8*T2^11 + 99*T1^9*T2^11 - 153*T1^10*T2^11 + 
     72*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 
     26*T1^8*T2^12 - 37*T1^9*T2^12 + 26*T1^10*T2^12 - 9*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, 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), -((9 - 44*T1 + 121*T1^2 - 223*T1^3 + 269*T1^4 - 223*T1^5 + 
      121*T1^6 - 44*T1^7 + 9*T1^8 - 44*T2 + 172*T1*T2 - 379*T1^2*T2 + 
      501*T1^3*T2 - 226*T1^4*T2 - 226*T1^5*T2 + 501*T1^6*T2 - 379*T1^7*T2 + 
      172*T1^8*T2 - 44*T1^9*T2 + 121*T2^2 - 379*T1*T2^2 + 691*T1^2*T2^2 - 
      661*T1^3*T2^2 - 171*T1^4*T2^2 + 555*T1^5*T2^2 - 171*T1^6*T2^2 - 
      661*T1^7*T2^2 + 691*T1^8*T2^2 - 379*T1^9*T2^2 + 121*T1^10*T2^2 - 
      223*T2^3 + 501*T1*T2^3 - 661*T1^2*T2^3 + 134*T1^3*T2^3 + 
      1309*T1^4*T2^3 - 636*T1^5*T2^3 - 636*T1^6*T2^3 + 1309*T1^7*T2^3 + 
      134*T1^8*T2^3 - 661*T1^9*T2^3 + 501*T1^10*T2^3 - 223*T1^11*T2^3 + 
      269*T2^4 - 226*T1*T2^4 - 171*T1^2*T2^4 + 1309*T1^3*T2^4 - 
      2410*T1^4*T2^4 - 999*T1^5*T2^4 + 2242*T1^6*T2^4 - 999*T1^7*T2^4 - 
      2410*T1^8*T2^4 + 1309*T1^9*T2^4 - 171*T1^10*T2^4 - 226*T1^11*T2^4 + 
      269*T1^12*T2^4 - 223*T2^5 - 226*T1*T2^5 + 555*T1^2*T2^5 - 
      636*T1^3*T2^5 - 999*T1^4*T2^5 + 6762*T1^5*T2^5 - 2973*T1^6*T2^5 - 
      2973*T1^7*T2^5 + 6762*T1^8*T2^5 - 999*T1^9*T2^5 - 636*T1^10*T2^5 + 
      555*T1^11*T2^5 - 226*T1^12*T2^5 - 223*T1^13*T2^5 + 121*T2^6 + 
      501*T1*T2^6 - 171*T1^2*T2^6 - 636*T1^3*T2^6 + 2242*T1^4*T2^6 - 
      2973*T1^5*T2^6 - 10556*T1^6*T2^6 + 15536*T1^7*T2^6 - 10556*T1^8*T2^6 - 
      2973*T1^9*T2^6 + 2242*T1^10*T2^6 - 636*T1^11*T2^6 - 171*T1^12*T2^6 + 
      501*T1^13*T2^6 + 121*T1^14*T2^6 - 44*T2^7 - 379*T1*T2^7 - 
      661*T1^2*T2^7 + 1309*T1^3*T2^7 - 999*T1^4*T2^7 - 2973*T1^5*T2^7 + 
      15536*T1^6*T2^7 - 6840*T1^7*T2^7 - 6840*T1^8*T2^7 + 15536*T1^9*T2^7 - 
      2973*T1^10*T2^7 - 999*T1^11*T2^7 + 1309*T1^12*T2^7 - 661*T1^13*T2^7 - 
      379*T1^14*T2^7 - 44*T1^15*T2^7 + 9*T2^8 + 172*T1*T2^8 + 691*T1^2*T2^8 + 
      134*T1^3*T2^8 - 2410*T1^4*T2^8 + 6762*T1^5*T2^8 - 10556*T1^6*T2^8 - 
      6840*T1^7*T2^8 + 13188*T1^8*T2^8 - 6840*T1^9*T2^8 - 10556*T1^10*T2^8 + 
      6762*T1^11*T2^8 - 2410*T1^12*T2^8 + 134*T1^13*T2^8 + 691*T1^14*T2^8 + 
      172*T1^15*T2^8 + 9*T1^16*T2^8 - 44*T1*T2^9 - 379*T1^2*T2^9 - 
      661*T1^3*T2^9 + 1309*T1^4*T2^9 - 999*T1^5*T2^9 - 2973*T1^6*T2^9 + 
      15536*T1^7*T2^9 - 6840*T1^8*T2^9 - 6840*T1^9*T2^9 + 15536*T1^10*T2^9 - 
      2973*T1^11*T2^9 - 999*T1^12*T2^9 + 1309*T1^13*T2^9 - 661*T1^14*T2^9 - 
      379*T1^15*T2^9 - 44*T1^16*T2^9 + 121*T1^2*T2^10 + 501*T1^3*T2^10 - 
      171*T1^4*T2^10 - 636*T1^5*T2^10 + 2242*T1^6*T2^10 - 2973*T1^7*T2^10 - 
      10556*T1^8*T2^10 + 15536*T1^9*T2^10 - 10556*T1^10*T2^10 - 
      2973*T1^11*T2^10 + 2242*T1^12*T2^10 - 636*T1^13*T2^10 - 
      171*T1^14*T2^10 + 501*T1^15*T2^10 + 121*T1^16*T2^10 - 223*T1^3*T2^11 - 
      226*T1^4*T2^11 + 555*T1^5*T2^11 - 636*T1^6*T2^11 - 999*T1^7*T2^11 + 
      6762*T1^8*T2^11 - 2973*T1^9*T2^11 - 2973*T1^10*T2^11 + 
      6762*T1^11*T2^11 - 999*T1^12*T2^11 - 636*T1^13*T2^11 + 
      555*T1^14*T2^11 - 226*T1^15*T2^11 - 223*T1^16*T2^11 + 269*T1^4*T2^12 - 
      226*T1^5*T2^12 - 171*T1^6*T2^12 + 1309*T1^7*T2^12 - 2410*T1^8*T2^12 - 
      999*T1^9*T2^12 + 2242*T1^10*T2^12 - 999*T1^11*T2^12 - 
      2410*T1^12*T2^12 + 1309*T1^13*T2^12 - 171*T1^14*T2^12 - 
      226*T1^15*T2^12 + 269*T1^16*T2^12 - 223*T1^5*T2^13 + 501*T1^6*T2^13 - 
      661*T1^7*T2^13 + 134*T1^8*T2^13 + 1309*T1^9*T2^13 - 636*T1^10*T2^13 - 
      636*T1^11*T2^13 + 1309*T1^12*T2^13 + 134*T1^13*T2^13 - 
      661*T1^14*T2^13 + 501*T1^15*T2^13 - 223*T1^16*T2^13 + 121*T1^6*T2^14 - 
      379*T1^7*T2^14 + 691*T1^8*T2^14 - 661*T1^9*T2^14 - 171*T1^10*T2^14 + 
      555*T1^11*T2^14 - 171*T1^12*T2^14 - 661*T1^13*T2^14 + 691*T1^14*T2^14 - 
      379*T1^15*T2^14 + 121*T1^16*T2^14 - 44*T1^7*T2^15 + 172*T1^8*T2^15 - 
      379*T1^9*T2^15 + 501*T1^10*T2^15 - 226*T1^11*T2^15 - 226*T1^12*T2^15 + 
      501*T1^13*T2^15 - 379*T1^14*T2^15 + 172*T1^15*T2^15 - 44*T1^16*T2^15 + 
      9*T1^8*T2^16 - 44*T1^9*T2^16 + 121*T1^10*T2^16 - 223*T1^11*T2^16 + 
      269*T1^12*T2^16 - 223*T1^13*T2^16 + 121*T1^14*T2^16 - 44*T1^15*T2^16 + 
      9*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 1057] -> 
  {-((3 - 22*T + 59*T^2 - 81*T^3 + 59*T^4 - 22*T^5 + 3*T^6)/T^3), 
   -((3 - 23*T1 + 62*T1^2 - 87*T1^3 + 62*T1^4 - 23*T1^5 + 3*T1^6 - 23*T2 + 
      154*T1*T2 - 309*T1^2*T2 + 199*T1^3*T2 + 199*T1^4*T2 - 309*T1^5*T2 + 
      154*T1^6*T2 - 23*T1^7*T2 + 62*T2^2 - 309*T1*T2^2 + 1560*T1^3*T2^2 - 
      2900*T1^4*T2^2 + 1560*T1^5*T2^2 - 309*T1^7*T2^2 + 62*T1^8*T2^2 - 
      87*T2^3 + 199*T1*T2^3 + 1560*T1^2*T2^3 - 4578*T1^3*T2^3 + 
      3439*T1^4*T2^3 + 3439*T1^5*T2^3 - 4578*T1^6*T2^3 + 1560*T1^7*T2^3 + 
      199*T1^8*T2^3 - 87*T1^9*T2^3 + 62*T2^4 + 199*T1*T2^4 - 2900*T1^2*T2^4 + 
      3439*T1^3*T2^4 + 4826*T1^4*T2^4 - 13966*T1^5*T2^4 + 4826*T1^6*T2^4 + 
      3439*T1^7*T2^4 - 2900*T1^8*T2^4 + 199*T1^9*T2^4 + 62*T1^10*T2^4 - 
      23*T2^5 - 309*T1*T2^5 + 1560*T1^2*T2^5 + 3439*T1^3*T2^5 - 
      13966*T1^4*T2^5 + 11650*T1^5*T2^5 + 11650*T1^6*T2^5 - 13966*T1^7*T2^5 + 
      3439*T1^8*T2^5 + 1560*T1^9*T2^5 - 309*T1^10*T2^5 - 23*T1^11*T2^5 + 
      3*T2^6 + 154*T1*T2^6 - 4578*T1^3*T2^6 + 4826*T1^4*T2^6 + 
      11650*T1^5*T2^6 - 29748*T1^6*T2^6 + 11650*T1^7*T2^6 + 4826*T1^8*T2^6 - 
      4578*T1^9*T2^6 + 154*T1^11*T2^6 + 3*T1^12*T2^6 - 23*T1*T2^7 - 
      309*T1^2*T2^7 + 1560*T1^3*T2^7 + 3439*T1^4*T2^7 - 13966*T1^5*T2^7 + 
      11650*T1^6*T2^7 + 11650*T1^7*T2^7 - 13966*T1^8*T2^7 + 3439*T1^9*T2^7 + 
      1560*T1^10*T2^7 - 309*T1^11*T2^7 - 23*T1^12*T2^7 + 62*T1^2*T2^8 + 
      199*T1^3*T2^8 - 2900*T1^4*T2^8 + 3439*T1^5*T2^8 + 4826*T1^6*T2^8 - 
      13966*T1^7*T2^8 + 4826*T1^8*T2^8 + 3439*T1^9*T2^8 - 2900*T1^10*T2^8 + 
      199*T1^11*T2^8 + 62*T1^12*T2^8 - 87*T1^3*T2^9 + 199*T1^4*T2^9 + 
      1560*T1^5*T2^9 - 4578*T1^6*T2^9 + 3439*T1^7*T2^9 + 3439*T1^8*T2^9 - 
      4578*T1^9*T2^9 + 1560*T1^10*T2^9 + 199*T1^11*T2^9 - 87*T1^12*T2^9 + 
      62*T1^4*T2^10 - 309*T1^5*T2^10 + 1560*T1^7*T2^10 - 2900*T1^8*T2^10 + 
      1560*T1^9*T2^10 - 309*T1^11*T2^10 + 62*T1^12*T2^10 - 23*T1^5*T2^11 + 
      154*T1^6*T2^11 - 309*T1^7*T2^11 + 199*T1^8*T2^11 + 199*T1^9*T2^11 - 
      309*T1^10*T2^11 + 154*T1^11*T2^11 - 23*T1^12*T2^11 + 3*T1^6*T2^12 - 
      23*T1^7*T2^12 + 62*T1^8*T2^12 - 87*T1^9*T2^12 + 62*T1^10*T2^12 - 
      23*T1^11*T2^12 + 3*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 1058] -> 
  {-((2 - 18*T + 53*T^2 - 75*T^3 + 53*T^4 - 18*T^5 + 2*T^6)/T^3), 
   (1 - 9*T1 + 26*T1^2 - 37*T1^3 + 26*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
     72*T1*T2 - 157*T1^2*T2 + 103*T1^3*T2 + 103*T1^4*T2 - 157*T1^5*T2 + 
     72*T1^6*T2 - 9*T1^7*T2 + 26*T2^2 - 157*T1*T2^2 - 37*T1^2*T2^2 + 
     1078*T1^3*T2^2 - 1963*T1^4*T2^2 + 1078*T1^5*T2^2 - 37*T1^6*T2^2 - 
     157*T1^7*T2^2 + 26*T1^8*T2^2 - 37*T2^3 + 103*T1*T2^3 + 1078*T1^2*T2^3 - 
     3388*T1^3*T2^3 + 2565*T1^4*T2^3 + 2565*T1^5*T2^3 - 3388*T1^6*T2^3 + 
     1078*T1^7*T2^3 + 103*T1^8*T2^3 - 37*T1^9*T2^3 + 26*T2^4 + 103*T1*T2^4 - 
     1963*T1^2*T2^4 + 2565*T1^3*T2^4 + 4328*T1^4*T2^4 - 11924*T1^5*T2^4 + 
     4328*T1^6*T2^4 + 2565*T1^7*T2^4 - 1963*T1^8*T2^4 + 103*T1^9*T2^4 + 
     26*T1^10*T2^4 - 9*T2^5 - 157*T1*T2^5 + 1078*T1^2*T2^5 + 2565*T1^3*T2^5 - 
     11924*T1^4*T2^5 + 10106*T1^5*T2^5 + 10106*T1^6*T2^5 - 11924*T1^7*T2^5 + 
     2565*T1^8*T2^5 + 1078*T1^9*T2^5 - 157*T1^10*T2^5 - 9*T1^11*T2^5 + T2^6 + 
     72*T1*T2^6 - 37*T1^2*T2^6 - 3388*T1^3*T2^6 + 4328*T1^4*T2^6 + 
     10106*T1^5*T2^6 - 26220*T1^6*T2^6 + 10106*T1^7*T2^6 + 4328*T1^8*T2^6 - 
     3388*T1^9*T2^6 - 37*T1^10*T2^6 + 72*T1^11*T2^6 + T1^12*T2^6 - 
     9*T1*T2^7 - 157*T1^2*T2^7 + 1078*T1^3*T2^7 + 2565*T1^4*T2^7 - 
     11924*T1^5*T2^7 + 10106*T1^6*T2^7 + 10106*T1^7*T2^7 - 11924*T1^8*T2^7 + 
     2565*T1^9*T2^7 + 1078*T1^10*T2^7 - 157*T1^11*T2^7 - 9*T1^12*T2^7 + 
     26*T1^2*T2^8 + 103*T1^3*T2^8 - 1963*T1^4*T2^8 + 2565*T1^5*T2^8 + 
     4328*T1^6*T2^8 - 11924*T1^7*T2^8 + 4328*T1^8*T2^8 + 2565*T1^9*T2^8 - 
     1963*T1^10*T2^8 + 103*T1^11*T2^8 + 26*T1^12*T2^8 - 37*T1^3*T2^9 + 
     103*T1^4*T2^9 + 1078*T1^5*T2^9 - 3388*T1^6*T2^9 + 2565*T1^7*T2^9 + 
     2565*T1^8*T2^9 - 3388*T1^9*T2^9 + 1078*T1^10*T2^9 + 103*T1^11*T2^9 - 
     37*T1^12*T2^9 + 26*T1^4*T2^10 - 157*T1^5*T2^10 - 37*T1^6*T2^10 + 
     1078*T1^7*T2^10 - 1963*T1^8*T2^10 + 1078*T1^9*T2^10 - 37*T1^10*T2^10 - 
     157*T1^11*T2^10 + 26*T1^12*T2^10 - 9*T1^5*T2^11 + 72*T1^6*T2^11 - 
     157*T1^7*T2^11 + 103*T1^8*T2^11 + 103*T1^9*T2^11 - 157*T1^10*T2^11 + 
     72*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 
     26*T1^8*T2^12 - 37*T1^9*T2^12 + 26*T1^10*T2^12 - 9*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, 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), -((25 - 123*T1 + 278*T1^2 - 430*T1^3 + 487*T1^4 - 430*T1^5 + 
      278*T1^6 - 123*T1^7 + 25*T1^8 - 123*T2 + 484*T1*T2 - 771*T1^2*T2 + 
      760*T1^3*T2 - 287*T1^4*T2 - 287*T1^5*T2 + 760*T1^6*T2 - 771*T1^7*T2 + 
      484*T1^8*T2 - 123*T1^9*T2 + 278*T2^2 - 771*T1*T2^2 + 419*T1^2*T2^2 + 
      596*T1^3*T2^2 - 1994*T1^4*T2^2 + 2373*T1^5*T2^2 - 1994*T1^6*T2^2 + 
      596*T1^7*T2^2 + 419*T1^8*T2^2 - 771*T1^9*T2^2 + 278*T1^10*T2^2 - 
      430*T2^3 + 760*T1*T2^3 + 596*T1^2*T2^3 - 1770*T1^3*T2^3 + 
      2404*T1^4*T2^3 - 718*T1^5*T2^3 - 718*T1^6*T2^3 + 2404*T1^7*T2^3 - 
      1770*T1^8*T2^3 + 596*T1^9*T2^3 + 760*T1^10*T2^3 - 430*T1^11*T2^3 + 
      487*T2^4 - 287*T1*T2^4 - 1994*T1^2*T2^4 + 2404*T1^3*T2^4 - 
      2266*T1^4*T2^4 - 87*T1^5*T2^4 - 212*T1^6*T2^4 - 87*T1^7*T2^4 - 
      2266*T1^8*T2^4 + 2404*T1^9*T2^4 - 1994*T1^10*T2^4 - 287*T1^11*T2^4 + 
      487*T1^12*T2^4 - 430*T2^5 - 287*T1*T2^5 + 2373*T1^2*T2^5 - 
      718*T1^3*T2^5 - 87*T1^4*T2^5 + 2268*T1^5*T2^5 + 121*T1^6*T2^5 + 
      121*T1^7*T2^5 + 2268*T1^8*T2^5 - 87*T1^9*T2^5 - 718*T1^10*T2^5 + 
      2373*T1^11*T2^5 - 287*T1^12*T2^5 - 430*T1^13*T2^5 + 278*T2^6 + 
      760*T1*T2^6 - 1994*T1^2*T2^6 - 718*T1^3*T2^6 - 212*T1^4*T2^6 + 
      121*T1^5*T2^6 - 4479*T1^6*T2^6 + 3049*T1^7*T2^6 - 4479*T1^8*T2^6 + 
      121*T1^9*T2^6 - 212*T1^10*T2^6 - 718*T1^11*T2^6 - 1994*T1^12*T2^6 + 
      760*T1^13*T2^6 + 278*T1^14*T2^6 - 123*T2^7 - 771*T1*T2^7 + 
      596*T1^2*T2^7 + 2404*T1^3*T2^7 - 87*T1^4*T2^7 + 121*T1^5*T2^7 + 
      3049*T1^6*T2^7 + 670*T1^7*T2^7 + 670*T1^8*T2^7 + 3049*T1^9*T2^7 + 
      121*T1^10*T2^7 - 87*T1^11*T2^7 + 2404*T1^12*T2^7 + 596*T1^13*T2^7 - 
      771*T1^14*T2^7 - 123*T1^15*T2^7 + 25*T2^8 + 484*T1*T2^8 + 
      419*T1^2*T2^8 - 1770*T1^3*T2^8 - 2266*T1^4*T2^8 + 2268*T1^5*T2^8 - 
      4479*T1^6*T2^8 + 670*T1^7*T2^8 - 3276*T1^8*T2^8 + 670*T1^9*T2^8 - 
      4479*T1^10*T2^8 + 2268*T1^11*T2^8 - 2266*T1^12*T2^8 - 1770*T1^13*T2^8 + 
      419*T1^14*T2^8 + 484*T1^15*T2^8 + 25*T1^16*T2^8 - 123*T1*T2^9 - 
      771*T1^2*T2^9 + 596*T1^3*T2^9 + 2404*T1^4*T2^9 - 87*T1^5*T2^9 + 
      121*T1^6*T2^9 + 3049*T1^7*T2^9 + 670*T1^8*T2^9 + 670*T1^9*T2^9 + 
      3049*T1^10*T2^9 + 121*T1^11*T2^9 - 87*T1^12*T2^9 + 2404*T1^13*T2^9 + 
      596*T1^14*T2^9 - 771*T1^15*T2^9 - 123*T1^16*T2^9 + 278*T1^2*T2^10 + 
      760*T1^3*T2^10 - 1994*T1^4*T2^10 - 718*T1^5*T2^10 - 212*T1^6*T2^10 + 
      121*T1^7*T2^10 - 4479*T1^8*T2^10 + 3049*T1^9*T2^10 - 4479*T1^10*T2^10 + 
      121*T1^11*T2^10 - 212*T1^12*T2^10 - 718*T1^13*T2^10 - 
      1994*T1^14*T2^10 + 760*T1^15*T2^10 + 278*T1^16*T2^10 - 430*T1^3*T2^11 - 
      287*T1^4*T2^11 + 2373*T1^5*T2^11 - 718*T1^6*T2^11 - 87*T1^7*T2^11 + 
      2268*T1^8*T2^11 + 121*T1^9*T2^11 + 121*T1^10*T2^11 + 2268*T1^11*T2^11 - 
      87*T1^12*T2^11 - 718*T1^13*T2^11 + 2373*T1^14*T2^11 - 287*T1^15*T2^11 - 
      430*T1^16*T2^11 + 487*T1^4*T2^12 - 287*T1^5*T2^12 - 1994*T1^6*T2^12 + 
      2404*T1^7*T2^12 - 2266*T1^8*T2^12 - 87*T1^9*T2^12 - 212*T1^10*T2^12 - 
      87*T1^11*T2^12 - 2266*T1^12*T2^12 + 2404*T1^13*T2^12 - 
      1994*T1^14*T2^12 - 287*T1^15*T2^12 + 487*T1^16*T2^12 - 430*T1^5*T2^13 + 
      760*T1^6*T2^13 + 596*T1^7*T2^13 - 1770*T1^8*T2^13 + 2404*T1^9*T2^13 - 
      718*T1^10*T2^13 - 718*T1^11*T2^13 + 2404*T1^12*T2^13 - 
      1770*T1^13*T2^13 + 596*T1^14*T2^13 + 760*T1^15*T2^13 - 
      430*T1^16*T2^13 + 278*T1^6*T2^14 - 771*T1^7*T2^14 + 419*T1^8*T2^14 + 
      596*T1^9*T2^14 - 1994*T1^10*T2^14 + 2373*T1^11*T2^14 - 
      1994*T1^12*T2^14 + 596*T1^13*T2^14 + 419*T1^14*T2^14 - 
      771*T1^15*T2^14 + 278*T1^16*T2^14 - 123*T1^7*T2^15 + 484*T1^8*T2^15 - 
      771*T1^9*T2^15 + 760*T1^10*T2^15 - 287*T1^11*T2^15 - 287*T1^12*T2^15 + 
      760*T1^13*T2^15 - 771*T1^14*T2^15 + 484*T1^15*T2^15 - 123*T1^16*T2^15 + 
      25*T1^8*T2^16 - 123*T1^9*T2^16 + 278*T1^10*T2^16 - 430*T1^11*T2^16 + 
      487*T1^12*T2^16 - 430*T1^13*T2^16 + 278*T1^14*T2^16 - 123*T1^15*T2^16 + 
      25*T1^16*T2^16)/(T1^8*T2^8))}, 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), -((9 - 40*T1 + 97*T1^2 - 163*T1^3 + 189*T1^4 - 163*T1^5 + 
      97*T1^6 - 40*T1^7 + 9*T1^8 - 40*T2 + 138*T1*T2 - 254*T1^2*T2 + 
      294*T1^3*T2 - 116*T1^4*T2 - 116*T1^5*T2 + 294*T1^6*T2 - 254*T1^7*T2 + 
      138*T1^8*T2 - 40*T1^9*T2 + 97*T2^2 - 254*T1*T2^2 + 345*T1^2*T2^2 - 
      245*T1^3*T2^2 - 191*T1^4*T2^2 + 297*T1^5*T2^2 - 191*T1^6*T2^2 - 
      245*T1^7*T2^2 + 345*T1^8*T2^2 - 254*T1^9*T2^2 + 97*T1^10*T2^2 - 
      163*T2^3 + 294*T1*T2^3 - 245*T1^2*T2^3 + 2*T1^3*T2^3 + 549*T1^4*T2^3 - 
      126*T1^5*T2^3 - 126*T1^6*T2^3 + 549*T1^7*T2^3 + 2*T1^8*T2^3 - 
      245*T1^9*T2^3 + 294*T1^10*T2^3 - 163*T1^11*T2^3 + 189*T2^4 - 
      116*T1*T2^4 - 191*T1^2*T2^4 + 549*T1^3*T2^4 - 1064*T1^4*T2^4 - 
      45*T1^5*T2^4 - 116*T1^6*T2^4 - 45*T1^7*T2^4 - 1064*T1^8*T2^4 + 
      549*T1^9*T2^4 - 191*T1^10*T2^4 - 116*T1^11*T2^4 + 189*T1^12*T2^4 - 
      163*T2^5 - 116*T1*T2^5 + 297*T1^2*T2^5 - 126*T1^3*T2^5 - 45*T1^4*T2^5 + 
      1746*T1^5*T2^5 - 210*T1^6*T2^5 - 210*T1^7*T2^5 + 1746*T1^8*T2^5 - 
      45*T1^9*T2^5 - 126*T1^10*T2^5 + 297*T1^11*T2^5 - 116*T1^12*T2^5 - 
      163*T1^13*T2^5 + 97*T2^6 + 294*T1*T2^6 - 191*T1^2*T2^6 - 
      126*T1^3*T2^6 - 116*T1^4*T2^6 - 210*T1^5*T2^6 - 3594*T1^6*T2^6 + 
      3434*T1^7*T2^6 - 3594*T1^8*T2^6 - 210*T1^9*T2^6 - 116*T1^10*T2^6 - 
      126*T1^11*T2^6 - 191*T1^12*T2^6 + 294*T1^13*T2^6 + 97*T1^14*T2^6 - 
      40*T2^7 - 254*T1*T2^7 - 245*T1^2*T2^7 + 549*T1^3*T2^7 - 45*T1^4*T2^7 - 
      210*T1^5*T2^7 + 3434*T1^6*T2^7 - 452*T1^7*T2^7 - 452*T1^8*T2^7 + 
      3434*T1^9*T2^7 - 210*T1^10*T2^7 - 45*T1^11*T2^7 + 549*T1^12*T2^7 - 
      245*T1^13*T2^7 - 254*T1^14*T2^7 - 40*T1^15*T2^7 + 9*T2^8 + 
      138*T1*T2^8 + 345*T1^2*T2^8 + 2*T1^3*T2^8 - 1064*T1^4*T2^8 + 
      1746*T1^5*T2^8 - 3594*T1^6*T2^8 - 452*T1^7*T2^8 - 204*T1^8*T2^8 - 
      452*T1^9*T2^8 - 3594*T1^10*T2^8 + 1746*T1^11*T2^8 - 1064*T1^12*T2^8 + 
      2*T1^13*T2^8 + 345*T1^14*T2^8 + 138*T1^15*T2^8 + 9*T1^16*T2^8 - 
      40*T1*T2^9 - 254*T1^2*T2^9 - 245*T1^3*T2^9 + 549*T1^4*T2^9 - 
      45*T1^5*T2^9 - 210*T1^6*T2^9 + 3434*T1^7*T2^9 - 452*T1^8*T2^9 - 
      452*T1^9*T2^9 + 3434*T1^10*T2^9 - 210*T1^11*T2^9 - 45*T1^12*T2^9 + 
      549*T1^13*T2^9 - 245*T1^14*T2^9 - 254*T1^15*T2^9 - 40*T1^16*T2^9 + 
      97*T1^2*T2^10 + 294*T1^3*T2^10 - 191*T1^4*T2^10 - 126*T1^5*T2^10 - 
      116*T1^6*T2^10 - 210*T1^7*T2^10 - 3594*T1^8*T2^10 + 3434*T1^9*T2^10 - 
      3594*T1^10*T2^10 - 210*T1^11*T2^10 - 116*T1^12*T2^10 - 
      126*T1^13*T2^10 - 191*T1^14*T2^10 + 294*T1^15*T2^10 + 97*T1^16*T2^10 - 
      163*T1^3*T2^11 - 116*T1^4*T2^11 + 297*T1^5*T2^11 - 126*T1^6*T2^11 - 
      45*T1^7*T2^11 + 1746*T1^8*T2^11 - 210*T1^9*T2^11 - 210*T1^10*T2^11 + 
      1746*T1^11*T2^11 - 45*T1^12*T2^11 - 126*T1^13*T2^11 + 297*T1^14*T2^11 - 
      116*T1^15*T2^11 - 163*T1^16*T2^11 + 189*T1^4*T2^12 - 116*T1^5*T2^12 - 
      191*T1^6*T2^12 + 549*T1^7*T2^12 - 1064*T1^8*T2^12 - 45*T1^9*T2^12 - 
      116*T1^10*T2^12 - 45*T1^11*T2^12 - 1064*T1^12*T2^12 + 549*T1^13*T2^12 - 
      191*T1^14*T2^12 - 116*T1^15*T2^12 + 189*T1^16*T2^12 - 163*T1^5*T2^13 + 
      294*T1^6*T2^13 - 245*T1^7*T2^13 + 2*T1^8*T2^13 + 549*T1^9*T2^13 - 
      126*T1^10*T2^13 - 126*T1^11*T2^13 + 549*T1^12*T2^13 + 2*T1^13*T2^13 - 
      245*T1^14*T2^13 + 294*T1^15*T2^13 - 163*T1^16*T2^13 + 97*T1^6*T2^14 - 
      254*T1^7*T2^14 + 345*T1^8*T2^14 - 245*T1^9*T2^14 - 191*T1^10*T2^14 + 
      297*T1^11*T2^14 - 191*T1^12*T2^14 - 245*T1^13*T2^14 + 345*T1^14*T2^14 - 
      254*T1^15*T2^14 + 97*T1^16*T2^14 - 40*T1^7*T2^15 + 138*T1^8*T2^15 - 
      254*T1^9*T2^15 + 294*T1^10*T2^15 - 116*T1^11*T2^15 - 116*T1^12*T2^15 + 
      294*T1^13*T2^15 - 254*T1^14*T2^15 + 138*T1^15*T2^15 - 40*T1^16*T2^15 + 
      9*T1^8*T2^16 - 40*T1^9*T2^16 + 97*T1^10*T2^16 - 163*T1^11*T2^16 + 
      189*T1^12*T2^16 - 163*T1^13*T2^16 + 97*T1^14*T2^16 - 40*T1^15*T2^16 + 
      9*T1^16*T2^16)/(T1^8*T2^8))}, 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), -((9 - 48*T1 + 133*T1^2 - 238*T1^3 + 283*T1^4 - 238*T1^5 + 
      133*T1^6 - 48*T1^7 + 9*T1^8 - 48*T2 + 208*T1*T2 - 453*T1^2*T2 + 
      559*T1^3*T2 - 240*T1^4*T2 - 240*T1^5*T2 + 559*T1^6*T2 - 453*T1^7*T2 + 
      208*T1^8*T2 - 48*T1^9*T2 + 133*T2^2 - 453*T1*T2^2 + 722*T1^2*T2^2 - 
      404*T1^3*T2^2 - 694*T1^4*T2^2 + 1118*T1^5*T2^2 - 694*T1^6*T2^2 - 
      404*T1^7*T2^2 + 722*T1^8*T2^2 - 453*T1^9*T2^2 + 133*T1^10*T2^2 - 
      238*T2^3 + 559*T1*T2^3 - 404*T1^2*T2^3 - 752*T1^3*T2^3 + 
      2207*T1^4*T2^3 - 888*T1^5*T2^3 - 888*T1^6*T2^3 + 2207*T1^7*T2^3 - 
      752*T1^8*T2^3 - 404*T1^9*T2^3 + 559*T1^10*T2^3 - 238*T1^11*T2^3 + 
      283*T2^4 - 240*T1*T2^4 - 694*T1^2*T2^4 + 2207*T1^3*T2^4 - 
      2208*T1^4*T2^4 - 2369*T1^5*T2^4 + 3514*T1^6*T2^4 - 2369*T1^7*T2^4 - 
      2208*T1^8*T2^4 + 2207*T1^9*T2^4 - 694*T1^10*T2^4 - 240*T1^11*T2^4 + 
      283*T1^12*T2^4 - 238*T2^5 - 240*T1*T2^5 + 1118*T1^2*T2^5 - 
      888*T1^3*T2^5 - 2369*T1^4*T2^5 + 7976*T1^5*T2^5 - 2792*T1^6*T2^5 - 
      2792*T1^7*T2^5 + 7976*T1^8*T2^5 - 2369*T1^9*T2^5 - 888*T1^10*T2^5 + 
      1118*T1^11*T2^5 - 240*T1^12*T2^5 - 238*T1^13*T2^5 + 133*T2^6 + 
      559*T1*T2^6 - 694*T1^2*T2^6 - 888*T1^3*T2^6 + 3514*T1^4*T2^6 - 
      2792*T1^5*T2^6 - 10957*T1^6*T2^6 + 13893*T1^7*T2^6 - 10957*T1^8*T2^6 - 
      2792*T1^9*T2^6 + 3514*T1^10*T2^6 - 888*T1^11*T2^6 - 694*T1^12*T2^6 + 
      559*T1^13*T2^6 + 133*T1^14*T2^6 - 48*T2^7 - 453*T1*T2^7 - 
      404*T1^2*T2^7 + 2207*T1^3*T2^7 - 2369*T1^4*T2^7 - 2792*T1^5*T2^7 + 
      13893*T1^6*T2^7 - 4478*T1^7*T2^7 - 4478*T1^8*T2^7 + 13893*T1^9*T2^7 - 
      2792*T1^10*T2^7 - 2369*T1^11*T2^7 + 2207*T1^12*T2^7 - 404*T1^13*T2^7 - 
      453*T1^14*T2^7 - 48*T1^15*T2^7 + 9*T2^8 + 208*T1*T2^8 + 722*T1^2*T2^8 - 
      752*T1^3*T2^8 - 2208*T1^4*T2^8 + 7976*T1^5*T2^8 - 10957*T1^6*T2^8 - 
      4478*T1^7*T2^8 + 6756*T1^8*T2^8 - 4478*T1^9*T2^8 - 10957*T1^10*T2^8 + 
      7976*T1^11*T2^8 - 2208*T1^12*T2^8 - 752*T1^13*T2^8 + 722*T1^14*T2^8 + 
      208*T1^15*T2^8 + 9*T1^16*T2^8 - 48*T1*T2^9 - 453*T1^2*T2^9 - 
      404*T1^3*T2^9 + 2207*T1^4*T2^9 - 2369*T1^5*T2^9 - 2792*T1^6*T2^9 + 
      13893*T1^7*T2^9 - 4478*T1^8*T2^9 - 4478*T1^9*T2^9 + 13893*T1^10*T2^9 - 
      2792*T1^11*T2^9 - 2369*T1^12*T2^9 + 2207*T1^13*T2^9 - 404*T1^14*T2^9 - 
      453*T1^15*T2^9 - 48*T1^16*T2^9 + 133*T1^2*T2^10 + 559*T1^3*T2^10 - 
      694*T1^4*T2^10 - 888*T1^5*T2^10 + 3514*T1^6*T2^10 - 2792*T1^7*T2^10 - 
      10957*T1^8*T2^10 + 13893*T1^9*T2^10 - 10957*T1^10*T2^10 - 
      2792*T1^11*T2^10 + 3514*T1^12*T2^10 - 888*T1^13*T2^10 - 
      694*T1^14*T2^10 + 559*T1^15*T2^10 + 133*T1^16*T2^10 - 238*T1^3*T2^11 - 
      240*T1^4*T2^11 + 1118*T1^5*T2^11 - 888*T1^6*T2^11 - 2369*T1^7*T2^11 + 
      7976*T1^8*T2^11 - 2792*T1^9*T2^11 - 2792*T1^10*T2^11 + 
      7976*T1^11*T2^11 - 2369*T1^12*T2^11 - 888*T1^13*T2^11 + 
      1118*T1^14*T2^11 - 240*T1^15*T2^11 - 238*T1^16*T2^11 + 283*T1^4*T2^12 - 
      240*T1^5*T2^12 - 694*T1^6*T2^12 + 2207*T1^7*T2^12 - 2208*T1^8*T2^12 - 
      2369*T1^9*T2^12 + 3514*T1^10*T2^12 - 2369*T1^11*T2^12 - 
      2208*T1^12*T2^12 + 2207*T1^13*T2^12 - 694*T1^14*T2^12 - 
      240*T1^15*T2^12 + 283*T1^16*T2^12 - 238*T1^5*T2^13 + 559*T1^6*T2^13 - 
      404*T1^7*T2^13 - 752*T1^8*T2^13 + 2207*T1^9*T2^13 - 888*T1^10*T2^13 - 
      888*T1^11*T2^13 + 2207*T1^12*T2^13 - 752*T1^13*T2^13 - 
      404*T1^14*T2^13 + 559*T1^15*T2^13 - 238*T1^16*T2^13 + 133*T1^6*T2^14 - 
      453*T1^7*T2^14 + 722*T1^8*T2^14 - 404*T1^9*T2^14 - 694*T1^10*T2^14 + 
      1118*T1^11*T2^14 - 694*T1^12*T2^14 - 404*T1^13*T2^14 + 
      722*T1^14*T2^14 - 453*T1^15*T2^14 + 133*T1^16*T2^14 - 48*T1^7*T2^15 + 
      208*T1^8*T2^15 - 453*T1^9*T2^15 + 559*T1^10*T2^15 - 240*T1^11*T2^15 - 
      240*T1^12*T2^15 + 559*T1^13*T2^15 - 453*T1^14*T2^15 + 208*T1^15*T2^15 - 
      48*T1^16*T2^15 + 9*T1^8*T2^16 - 48*T1^9*T2^16 + 133*T1^10*T2^16 - 
      238*T1^11*T2^16 + 283*T1^12*T2^16 - 238*T1^13*T2^16 + 133*T1^14*T2^16 - 
      48*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 1062] -> 
  {-(((1 - T + T^2)*(3 - 12*T + 17*T^2 - 12*T^3 + 3*T^4))/T^3), 
   -((63 - 309*T1 + 652*T1^2 - 835*T1^3 + 652*T1^4 - 309*T1^5 + 63*T1^6 - 
      309*T2 + 1206*T1*T2 - 1683*T1^2*T2 + 897*T1^3*T2 + 897*T1^4*T2 - 
      1683*T1^5*T2 + 1206*T1^6*T2 - 309*T1^7*T2 + 652*T2^2 - 1683*T1*T2^2 + 
      5*T1^2*T2^2 + 3814*T1^3*T2^2 - 6539*T1^4*T2^2 + 3814*T1^5*T2^2 + 
      5*T1^6*T2^2 - 1683*T1^7*T2^2 + 652*T1^8*T2^2 - 835*T2^3 + 897*T1*T2^3 + 
      3814*T1^2*T2^3 - 7352*T1^3*T2^3 + 4774*T1^4*T2^3 + 4774*T1^5*T2^3 - 
      7352*T1^6*T2^3 + 3814*T1^7*T2^3 + 897*T1^8*T2^3 - 835*T1^9*T2^3 + 
      652*T2^4 + 897*T1*T2^4 - 6539*T1^2*T2^4 + 4774*T1^3*T2^4 + 
      3863*T1^4*T2^4 - 12249*T1^5*T2^4 + 3863*T1^6*T2^4 + 4774*T1^7*T2^4 - 
      6539*T1^8*T2^4 + 897*T1^9*T2^4 + 652*T1^10*T2^4 - 309*T2^5 - 
      1683*T1*T2^5 + 3814*T1^2*T2^5 + 4774*T1^3*T2^5 - 12249*T1^4*T2^5 + 
      9226*T1^5*T2^5 + 9226*T1^6*T2^5 - 12249*T1^7*T2^5 + 4774*T1^8*T2^5 + 
      3814*T1^9*T2^5 - 1683*T1^10*T2^5 - 309*T1^11*T2^5 + 63*T2^6 + 
      1206*T1*T2^6 + 5*T1^2*T2^6 - 7352*T1^3*T2^6 + 3863*T1^4*T2^6 + 
      9226*T1^5*T2^6 - 22068*T1^6*T2^6 + 9226*T1^7*T2^6 + 3863*T1^8*T2^6 - 
      7352*T1^9*T2^6 + 5*T1^10*T2^6 + 1206*T1^11*T2^6 + 63*T1^12*T2^6 - 
      309*T1*T2^7 - 1683*T1^2*T2^7 + 3814*T1^3*T2^7 + 4774*T1^4*T2^7 - 
      12249*T1^5*T2^7 + 9226*T1^6*T2^7 + 9226*T1^7*T2^7 - 12249*T1^8*T2^7 + 
      4774*T1^9*T2^7 + 3814*T1^10*T2^7 - 1683*T1^11*T2^7 - 309*T1^12*T2^7 + 
      652*T1^2*T2^8 + 897*T1^3*T2^8 - 6539*T1^4*T2^8 + 4774*T1^5*T2^8 + 
      3863*T1^6*T2^8 - 12249*T1^7*T2^8 + 3863*T1^8*T2^8 + 4774*T1^9*T2^8 - 
      6539*T1^10*T2^8 + 897*T1^11*T2^8 + 652*T1^12*T2^8 - 835*T1^3*T2^9 + 
      897*T1^4*T2^9 + 3814*T1^5*T2^9 - 7352*T1^6*T2^9 + 4774*T1^7*T2^9 + 
      4774*T1^8*T2^9 - 7352*T1^9*T2^9 + 3814*T1^10*T2^9 + 897*T1^11*T2^9 - 
      835*T1^12*T2^9 + 652*T1^4*T2^10 - 1683*T1^5*T2^10 + 5*T1^6*T2^10 + 
      3814*T1^7*T2^10 - 6539*T1^8*T2^10 + 3814*T1^9*T2^10 + 5*T1^10*T2^10 - 
      1683*T1^11*T2^10 + 652*T1^12*T2^10 - 309*T1^5*T2^11 + 1206*T1^6*T2^11 - 
      1683*T1^7*T2^11 + 897*T1^8*T2^11 + 897*T1^9*T2^11 - 1683*T1^10*T2^11 + 
      1206*T1^11*T2^11 - 309*T1^12*T2^11 + 63*T1^6*T2^12 - 309*T1^7*T2^12 + 
      652*T1^8*T2^12 - 835*T1^9*T2^12 + 652*T1^10*T2^12 - 309*T1^11*T2^12 + 
      63*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 1063] -> 
  {-((3 - 12*T + 24*T^2 - 31*T^3 + 24*T^4 - 12*T^5 + 3*T^6)/T^3), 
   -((9 - 36*T1 + 72*T1^2 - 95*T1^3 + 72*T1^4 - 36*T1^5 + 9*T1^6 - 36*T2 + 
      108*T1*T2 - 144*T1^2*T2 + 92*T1^3*T2 + 92*T1^4*T2 - 144*T1^5*T2 + 
      108*T1^6*T2 - 36*T1^7*T2 + 72*T2^2 - 144*T1*T2^2 + 72*T1^2*T2^2 + 
      68*T1^3*T2^2 - 296*T1^4*T2^2 + 68*T1^5*T2^2 + 72*T1^6*T2^2 - 
      144*T1^7*T2^2 + 72*T1^8*T2^2 - 95*T2^3 + 92*T1*T2^3 + 68*T1^2*T2^3 - 
      52*T1^3*T2^3 + 212*T1^4*T2^3 + 212*T1^5*T2^3 - 52*T1^6*T2^3 + 
      68*T1^7*T2^3 + 92*T1^8*T2^3 - 95*T1^9*T2^3 + 72*T2^4 + 92*T1*T2^4 - 
      296*T1^2*T2^4 + 212*T1^3*T2^4 - 690*T1^4*T2^4 + 276*T1^5*T2^4 - 
      690*T1^6*T2^4 + 212*T1^7*T2^4 - 296*T1^8*T2^4 + 92*T1^9*T2^4 + 
      72*T1^10*T2^4 - 36*T2^5 - 144*T1*T2^5 + 68*T1^2*T2^5 + 212*T1^3*T2^5 + 
      276*T1^4*T2^5 + 360*T1^5*T2^5 + 360*T1^6*T2^5 + 276*T1^7*T2^5 + 
      212*T1^8*T2^5 + 68*T1^9*T2^5 - 144*T1^10*T2^5 - 36*T1^11*T2^5 + 
      9*T2^6 + 108*T1*T2^6 + 72*T1^2*T2^6 - 52*T1^3*T2^6 - 690*T1^4*T2^6 + 
      360*T1^5*T2^6 - 1320*T1^6*T2^6 + 360*T1^7*T2^6 - 690*T1^8*T2^6 - 
      52*T1^9*T2^6 + 72*T1^10*T2^6 + 108*T1^11*T2^6 + 9*T1^12*T2^6 - 
      36*T1*T2^7 - 144*T1^2*T2^7 + 68*T1^3*T2^7 + 212*T1^4*T2^7 + 
      276*T1^5*T2^7 + 360*T1^6*T2^7 + 360*T1^7*T2^7 + 276*T1^8*T2^7 + 
      212*T1^9*T2^7 + 68*T1^10*T2^7 - 144*T1^11*T2^7 - 36*T1^12*T2^7 + 
      72*T1^2*T2^8 + 92*T1^3*T2^8 - 296*T1^4*T2^8 + 212*T1^5*T2^8 - 
      690*T1^6*T2^8 + 276*T1^7*T2^8 - 690*T1^8*T2^8 + 212*T1^9*T2^8 - 
      296*T1^10*T2^8 + 92*T1^11*T2^8 + 72*T1^12*T2^8 - 95*T1^3*T2^9 + 
      92*T1^4*T2^9 + 68*T1^5*T2^9 - 52*T1^6*T2^9 + 212*T1^7*T2^9 + 
      212*T1^8*T2^9 - 52*T1^9*T2^9 + 68*T1^10*T2^9 + 92*T1^11*T2^9 - 
      95*T1^12*T2^9 + 72*T1^4*T2^10 - 144*T1^5*T2^10 + 72*T1^6*T2^10 + 
      68*T1^7*T2^10 - 296*T1^8*T2^10 + 68*T1^9*T2^10 + 72*T1^10*T2^10 - 
      144*T1^11*T2^10 + 72*T1^12*T2^10 - 36*T1^5*T2^11 + 108*T1^6*T2^11 - 
      144*T1^7*T2^11 + 92*T1^8*T2^11 + 92*T1^9*T2^11 - 144*T1^10*T2^11 + 
      108*T1^11*T2^11 - 36*T1^12*T2^11 + 9*T1^6*T2^12 - 36*T1^7*T2^12 + 
      72*T1^8*T2^12 - 95*T1^9*T2^12 + 72*T1^10*T2^12 - 36*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, 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), -((9 - 40*T1 + 93*T1^2 - 146*T1^3 + 163*T1^4 - 146*T1^5 + 
      93*T1^6 - 40*T1^7 + 9*T1^8 - 40*T2 + 138*T1*T2 - 236*T1^2*T2 + 
      236*T1^3*T2 - 76*T1^4*T2 - 76*T1^5*T2 + 236*T1^6*T2 - 236*T1^7*T2 + 
      138*T1^8*T2 - 40*T1^9*T2 + 93*T2^2 - 236*T1*T2^2 + 261*T1^2*T2^2 - 
      67*T1^3*T2^2 - 288*T1^4*T2^2 + 277*T1^5*T2^2 - 288*T1^6*T2^2 - 
      67*T1^7*T2^2 + 261*T1^8*T2^2 - 236*T1^9*T2^2 + 93*T1^10*T2^2 - 
      146*T2^3 + 236*T1*T2^3 - 67*T1^2*T2^3 - 288*T1^3*T2^3 + 585*T1^4*T2^3 - 
      25*T1^5*T2^3 - 25*T1^6*T2^3 + 585*T1^7*T2^3 - 288*T1^8*T2^3 - 
      67*T1^9*T2^3 + 236*T1^10*T2^3 - 146*T1^11*T2^3 + 163*T2^4 - 
      76*T1*T2^4 - 288*T1^2*T2^4 + 585*T1^3*T2^4 - 504*T1^4*T2^4 - 
      624*T1^5*T2^4 + 190*T1^6*T2^4 - 624*T1^7*T2^4 - 504*T1^8*T2^4 + 
      585*T1^9*T2^4 - 288*T1^10*T2^4 - 76*T1^11*T2^4 + 163*T1^12*T2^4 - 
      146*T2^5 - 76*T1*T2^5 + 277*T1^2*T2^5 - 25*T1^3*T2^5 - 624*T1^4*T2^5 + 
      1684*T1^5*T2^5 + 26*T1^6*T2^5 + 26*T1^7*T2^5 + 1684*T1^8*T2^5 - 
      624*T1^9*T2^5 - 25*T1^10*T2^5 + 277*T1^11*T2^5 - 76*T1^12*T2^5 - 
      146*T1^13*T2^5 + 93*T2^6 + 236*T1*T2^6 - 288*T1^2*T2^6 - 25*T1^3*T2^6 + 
      190*T1^4*T2^6 + 26*T1^5*T2^6 - 2861*T1^6*T2^6 + 2103*T1^7*T2^6 - 
      2861*T1^8*T2^6 + 26*T1^9*T2^6 + 190*T1^10*T2^6 - 25*T1^11*T2^6 - 
      288*T1^12*T2^6 + 236*T1^13*T2^6 + 93*T1^14*T2^6 - 40*T2^7 - 
      236*T1*T2^7 - 67*T1^2*T2^7 + 585*T1^3*T2^7 - 624*T1^4*T2^7 + 
      26*T1^5*T2^7 + 2103*T1^6*T2^7 + 160*T1^7*T2^7 + 160*T1^8*T2^7 + 
      2103*T1^9*T2^7 + 26*T1^10*T2^7 - 624*T1^11*T2^7 + 585*T1^12*T2^7 - 
      67*T1^13*T2^7 - 236*T1^14*T2^7 - 40*T1^15*T2^7 + 9*T2^8 + 138*T1*T2^8 + 
      261*T1^2*T2^8 - 288*T1^3*T2^8 - 504*T1^4*T2^8 + 1684*T1^5*T2^8 - 
      2861*T1^6*T2^8 + 160*T1^7*T2^8 - 1248*T1^8*T2^8 + 160*T1^9*T2^8 - 
      2861*T1^10*T2^8 + 1684*T1^11*T2^8 - 504*T1^12*T2^8 - 288*T1^13*T2^8 + 
      261*T1^14*T2^8 + 138*T1^15*T2^8 + 9*T1^16*T2^8 - 40*T1*T2^9 - 
      236*T1^2*T2^9 - 67*T1^3*T2^9 + 585*T1^4*T2^9 - 624*T1^5*T2^9 + 
      26*T1^6*T2^9 + 2103*T1^7*T2^9 + 160*T1^8*T2^9 + 160*T1^9*T2^9 + 
      2103*T1^10*T2^9 + 26*T1^11*T2^9 - 624*T1^12*T2^9 + 585*T1^13*T2^9 - 
      67*T1^14*T2^9 - 236*T1^15*T2^9 - 40*T1^16*T2^9 + 93*T1^2*T2^10 + 
      236*T1^3*T2^10 - 288*T1^4*T2^10 - 25*T1^5*T2^10 + 190*T1^6*T2^10 + 
      26*T1^7*T2^10 - 2861*T1^8*T2^10 + 2103*T1^9*T2^10 - 2861*T1^10*T2^10 + 
      26*T1^11*T2^10 + 190*T1^12*T2^10 - 25*T1^13*T2^10 - 288*T1^14*T2^10 + 
      236*T1^15*T2^10 + 93*T1^16*T2^10 - 146*T1^3*T2^11 - 76*T1^4*T2^11 + 
      277*T1^5*T2^11 - 25*T1^6*T2^11 - 624*T1^7*T2^11 + 1684*T1^8*T2^11 + 
      26*T1^9*T2^11 + 26*T1^10*T2^11 + 1684*T1^11*T2^11 - 624*T1^12*T2^11 - 
      25*T1^13*T2^11 + 277*T1^14*T2^11 - 76*T1^15*T2^11 - 146*T1^16*T2^11 + 
      163*T1^4*T2^12 - 76*T1^5*T2^12 - 288*T1^6*T2^12 + 585*T1^7*T2^12 - 
      504*T1^8*T2^12 - 624*T1^9*T2^12 + 190*T1^10*T2^12 - 624*T1^11*T2^12 - 
      504*T1^12*T2^12 + 585*T1^13*T2^12 - 288*T1^14*T2^12 - 76*T1^15*T2^12 + 
      163*T1^16*T2^12 - 146*T1^5*T2^13 + 236*T1^6*T2^13 - 67*T1^7*T2^13 - 
      288*T1^8*T2^13 + 585*T1^9*T2^13 - 25*T1^10*T2^13 - 25*T1^11*T2^13 + 
      585*T1^12*T2^13 - 288*T1^13*T2^13 - 67*T1^14*T2^13 + 236*T1^15*T2^13 - 
      146*T1^16*T2^13 + 93*T1^6*T2^14 - 236*T1^7*T2^14 + 261*T1^8*T2^14 - 
      67*T1^9*T2^14 - 288*T1^10*T2^14 + 277*T1^11*T2^14 - 288*T1^12*T2^14 - 
      67*T1^13*T2^14 + 261*T1^14*T2^14 - 236*T1^15*T2^14 + 93*T1^16*T2^14 - 
      40*T1^7*T2^15 + 138*T1^8*T2^15 - 236*T1^9*T2^15 + 236*T1^10*T2^15 - 
      76*T1^11*T2^15 - 76*T1^12*T2^15 + 236*T1^13*T2^15 - 236*T1^14*T2^15 + 
      138*T1^15*T2^15 - 40*T1^16*T2^15 + 9*T1^8*T2^16 - 40*T1^9*T2^16 + 
      93*T1^10*T2^16 - 146*T1^11*T2^16 + 163*T1^12*T2^16 - 146*T1^13*T2^16 + 
      93*T1^14*T2^16 - 40*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   (1 + 6*T1 - 23*T1^2 + 39*T1^3 - 23*T1^4 + 6*T1^5 + T1^6 + 6*T2 - 
     96*T1*T2 + 205*T1^2*T2 - 155*T1^3*T2 - 155*T1^4*T2 + 205*T1^5*T2 - 
     96*T1^6*T2 + 6*T1^7*T2 - 23*T2^2 + 205*T1*T2^2 + 74*T1^2*T2^2 - 
     1227*T1^3*T2^2 + 2382*T1^4*T2^2 - 1227*T1^5*T2^2 + 74*T1^6*T2^2 + 
     205*T1^7*T2^2 - 23*T1^8*T2^2 + 39*T2^3 - 155*T1*T2^3 - 1227*T1^2*T2^3 + 
     3410*T1^3*T2^3 - 2816*T1^4*T2^3 - 2816*T1^5*T2^3 + 3410*T1^6*T2^3 - 
     1227*T1^7*T2^3 - 155*T1^8*T2^3 + 39*T1^9*T2^3 - 23*T2^4 - 155*T1*T2^4 + 
     2382*T1^2*T2^4 - 2816*T1^3*T2^4 - 3007*T1^4*T2^4 + 10697*T1^5*T2^4 - 
     3007*T1^6*T2^4 - 2816*T1^7*T2^4 + 2382*T1^8*T2^4 - 155*T1^9*T2^4 - 
     23*T1^10*T2^4 + 6*T2^5 + 205*T1*T2^5 - 1227*T1^2*T2^5 - 2816*T1^3*T2^5 + 
     10697*T1^4*T2^5 - 9688*T1^5*T2^5 - 9688*T1^6*T2^5 + 10697*T1^7*T2^5 - 
     2816*T1^8*T2^5 - 1227*T1^9*T2^5 + 205*T1^10*T2^5 + 6*T1^11*T2^5 + T2^6 - 
     96*T1*T2^6 + 74*T1^2*T2^6 + 3410*T1^3*T2^6 - 3007*T1^4*T2^6 - 
     9688*T1^5*T2^6 + 25248*T1^6*T2^6 - 9688*T1^7*T2^6 - 3007*T1^8*T2^6 + 
     3410*T1^9*T2^6 + 74*T1^10*T2^6 - 96*T1^11*T2^6 + T1^12*T2^6 + 
     6*T1*T2^7 + 205*T1^2*T2^7 - 1227*T1^3*T2^7 - 2816*T1^4*T2^7 + 
     10697*T1^5*T2^7 - 9688*T1^6*T2^7 - 9688*T1^7*T2^7 + 10697*T1^8*T2^7 - 
     2816*T1^9*T2^7 - 1227*T1^10*T2^7 + 205*T1^11*T2^7 + 6*T1^12*T2^7 - 
     23*T1^2*T2^8 - 155*T1^3*T2^8 + 2382*T1^4*T2^8 - 2816*T1^5*T2^8 - 
     3007*T1^6*T2^8 + 10697*T1^7*T2^8 - 3007*T1^8*T2^8 - 2816*T1^9*T2^8 + 
     2382*T1^10*T2^8 - 155*T1^11*T2^8 - 23*T1^12*T2^8 + 39*T1^3*T2^9 - 
     155*T1^4*T2^9 - 1227*T1^5*T2^9 + 3410*T1^6*T2^9 - 2816*T1^7*T2^9 - 
     2816*T1^8*T2^9 + 3410*T1^9*T2^9 - 1227*T1^10*T2^9 - 155*T1^11*T2^9 + 
     39*T1^12*T2^9 - 23*T1^4*T2^10 + 205*T1^5*T2^10 + 74*T1^6*T2^10 - 
     1227*T1^7*T2^10 + 2382*T1^8*T2^10 - 1227*T1^9*T2^10 + 74*T1^10*T2^10 + 
     205*T1^11*T2^10 - 23*T1^12*T2^10 + 6*T1^5*T2^11 - 96*T1^6*T2^11 + 
     205*T1^7*T2^11 - 155*T1^8*T2^11 - 155*T1^9*T2^11 + 205*T1^10*T2^11 - 
     96*T1^11*T2^11 + 6*T1^12*T2^11 + T1^6*T2^12 + 6*T1^7*T2^12 - 
     23*T1^8*T2^12 + 39*T1^9*T2^12 - 23*T1^10*T2^12 + 6*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, 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), -((9 - 36*T1 + 85*T1^2 - 147*T1^3 + 173*T1^4 - 147*T1^5 + 
      85*T1^6 - 36*T1^7 + 9*T1^8 - 36*T2 + 108*T1*T2 - 196*T1^2*T2 + 
      248*T1^3*T2 - 104*T1^4*T2 - 104*T1^5*T2 + 248*T1^6*T2 - 196*T1^7*T2 + 
      108*T1^8*T2 - 36*T1^9*T2 + 85*T2^2 - 196*T1*T2^2 + 306*T1^2*T2^2 - 
      343*T1^3*T2^2 + 11*T1^4*T2^2 + 102*T1^5*T2^2 + 11*T1^6*T2^2 - 
      343*T1^7*T2^2 + 306*T1^8*T2^2 - 196*T1^9*T2^2 + 85*T1^10*T2^2 - 
      147*T2^3 + 248*T1*T2^3 - 343*T1^2*T2^3 + 320*T1^3*T2^3 + 
      294*T1^4*T2^3 - 113*T1^5*T2^3 - 113*T1^6*T2^3 + 294*T1^7*T2^3 + 
      320*T1^8*T2^3 - 343*T1^9*T2^3 + 248*T1^10*T2^3 - 147*T1^11*T2^3 + 
      173*T2^4 - 104*T1*T2^4 + 11*T1^2*T2^4 + 294*T1^3*T2^4 - 
      1194*T1^4*T2^4 + 310*T1^5*T2^4 - 152*T1^6*T2^4 + 310*T1^7*T2^4 - 
      1194*T1^8*T2^4 + 294*T1^9*T2^4 + 11*T1^10*T2^4 - 104*T1^11*T2^4 + 
      173*T1^12*T2^4 - 147*T2^5 - 104*T1*T2^5 + 102*T1^2*T2^5 - 
      113*T1^3*T2^5 + 310*T1^4*T2^5 + 1612*T1^5*T2^5 - 611*T1^6*T2^5 - 
      611*T1^7*T2^5 + 1612*T1^8*T2^5 + 310*T1^9*T2^5 - 113*T1^10*T2^5 + 
      102*T1^11*T2^5 - 104*T1^12*T2^5 - 147*T1^13*T2^5 + 85*T2^6 + 
      248*T1*T2^6 + 11*T1^2*T2^6 - 113*T1^3*T2^6 - 152*T1^4*T2^6 - 
      611*T1^5*T2^6 - 3126*T1^6*T2^6 + 4220*T1^7*T2^6 - 3126*T1^8*T2^6 - 
      611*T1^9*T2^6 - 152*T1^10*T2^6 - 113*T1^11*T2^6 + 11*T1^12*T2^6 + 
      248*T1^13*T2^6 + 85*T1^14*T2^6 - 36*T2^7 - 196*T1*T2^7 - 
      343*T1^2*T2^7 + 294*T1^3*T2^7 + 310*T1^4*T2^7 - 611*T1^5*T2^7 + 
      4220*T1^6*T2^7 - 1706*T1^7*T2^7 - 1706*T1^8*T2^7 + 4220*T1^9*T2^7 - 
      611*T1^10*T2^7 + 310*T1^11*T2^7 + 294*T1^12*T2^7 - 343*T1^13*T2^7 - 
      196*T1^14*T2^7 - 36*T1^15*T2^7 + 9*T2^8 + 108*T1*T2^8 + 306*T1^2*T2^8 + 
      320*T1^3*T2^8 - 1194*T1^4*T2^8 + 1612*T1^5*T2^8 - 3126*T1^6*T2^8 - 
      1706*T1^7*T2^8 + 3192*T1^8*T2^8 - 1706*T1^9*T2^8 - 3126*T1^10*T2^8 + 
      1612*T1^11*T2^8 - 1194*T1^12*T2^8 + 320*T1^13*T2^8 + 306*T1^14*T2^8 + 
      108*T1^15*T2^8 + 9*T1^16*T2^8 - 36*T1*T2^9 - 196*T1^2*T2^9 - 
      343*T1^3*T2^9 + 294*T1^4*T2^9 + 310*T1^5*T2^9 - 611*T1^6*T2^9 + 
      4220*T1^7*T2^9 - 1706*T1^8*T2^9 - 1706*T1^9*T2^9 + 4220*T1^10*T2^9 - 
      611*T1^11*T2^9 + 310*T1^12*T2^9 + 294*T1^13*T2^9 - 343*T1^14*T2^9 - 
      196*T1^15*T2^9 - 36*T1^16*T2^9 + 85*T1^2*T2^10 + 248*T1^3*T2^10 + 
      11*T1^4*T2^10 - 113*T1^5*T2^10 - 152*T1^6*T2^10 - 611*T1^7*T2^10 - 
      3126*T1^8*T2^10 + 4220*T1^9*T2^10 - 3126*T1^10*T2^10 - 
      611*T1^11*T2^10 - 152*T1^12*T2^10 - 113*T1^13*T2^10 + 11*T1^14*T2^10 + 
      248*T1^15*T2^10 + 85*T1^16*T2^10 - 147*T1^3*T2^11 - 104*T1^4*T2^11 + 
      102*T1^5*T2^11 - 113*T1^6*T2^11 + 310*T1^7*T2^11 + 1612*T1^8*T2^11 - 
      611*T1^9*T2^11 - 611*T1^10*T2^11 + 1612*T1^11*T2^11 + 310*T1^12*T2^11 - 
      113*T1^13*T2^11 + 102*T1^14*T2^11 - 104*T1^15*T2^11 - 147*T1^16*T2^11 + 
      173*T1^4*T2^12 - 104*T1^5*T2^12 + 11*T1^6*T2^12 + 294*T1^7*T2^12 - 
      1194*T1^8*T2^12 + 310*T1^9*T2^12 - 152*T1^10*T2^12 + 310*T1^11*T2^12 - 
      1194*T1^12*T2^12 + 294*T1^13*T2^12 + 11*T1^14*T2^12 - 104*T1^15*T2^12 + 
      173*T1^16*T2^12 - 147*T1^5*T2^13 + 248*T1^6*T2^13 - 343*T1^7*T2^13 + 
      320*T1^8*T2^13 + 294*T1^9*T2^13 - 113*T1^10*T2^13 - 113*T1^11*T2^13 + 
      294*T1^12*T2^13 + 320*T1^13*T2^13 - 343*T1^14*T2^13 + 248*T1^15*T2^13 - 
      147*T1^16*T2^13 + 85*T1^6*T2^14 - 196*T1^7*T2^14 + 306*T1^8*T2^14 - 
      343*T1^9*T2^14 + 11*T1^10*T2^14 + 102*T1^11*T2^14 + 11*T1^12*T2^14 - 
      343*T1^13*T2^14 + 306*T1^14*T2^14 - 196*T1^15*T2^14 + 85*T1^16*T2^14 - 
      36*T1^7*T2^15 + 108*T1^8*T2^15 - 196*T1^9*T2^15 + 248*T1^10*T2^15 - 
      104*T1^11*T2^15 - 104*T1^12*T2^15 + 248*T1^13*T2^15 - 196*T1^14*T2^15 + 
      108*T1^15*T2^15 - 36*T1^16*T2^15 + 9*T1^8*T2^16 - 36*T1^9*T2^16 + 
      85*T1^10*T2^16 - 147*T1^11*T2^16 + 173*T1^12*T2^16 - 147*T1^13*T2^16 + 
      85*T1^14*T2^16 - 36*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8))}, 
 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), -((1 - 8*T1 + 30*T1^2 - 61*T1^3 + 75*T1^4 - 61*T1^5 + 30*T1^6 - 
      8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 176*T1^2*T2 + 248*T1^3*T2 - 
      112*T1^4*T2 - 112*T1^5*T2 + 248*T1^6*T2 - 176*T1^7*T2 + 56*T1^8*T2 - 
      8*T1^9*T2 + 30*T2^2 - 176*T1*T2^2 + 416*T1^2*T2^2 - 124*T1^3*T2^2 - 
      835*T1^4*T2^2 + 1250*T1^5*T2^2 - 835*T1^6*T2^2 - 124*T1^7*T2^2 + 
      416*T1^8*T2^2 - 176*T1^9*T2^2 + 30*T1^10*T2^2 - 61*T2^3 + 248*T1*T2^3 - 
      124*T1^2*T2^3 - 1798*T1^3*T2^3 + 3697*T1^4*T2^3 - 1645*T1^5*T2^3 - 
      1645*T1^6*T2^3 + 3697*T1^7*T2^3 - 1798*T1^8*T2^3 - 124*T1^9*T2^3 + 
      248*T1^10*T2^3 - 61*T1^11*T2^3 + 75*T2^4 - 112*T1*T2^4 - 
      835*T1^2*T2^4 + 3697*T1^3*T2^4 - 1048*T1^4*T2^4 - 10002*T1^5*T2^4 + 
      14328*T1^6*T2^4 - 10002*T1^7*T2^4 - 1048*T1^8*T2^4 + 3697*T1^9*T2^4 - 
      835*T1^10*T2^4 - 112*T1^11*T2^4 + 75*T1^12*T2^4 - 61*T2^5 - 
      112*T1*T2^5 + 1250*T1^2*T2^5 - 1645*T1^3*T2^5 - 10002*T1^4*T2^5 + 
      23228*T1^5*T2^5 - 10127*T1^6*T2^5 - 10127*T1^7*T2^5 + 23228*T1^8*T2^5 - 
      10002*T1^9*T2^5 - 1645*T1^10*T2^5 + 1250*T1^11*T2^5 - 112*T1^12*T2^5 - 
      61*T1^13*T2^5 + 30*T2^6 + 248*T1*T2^6 - 835*T1^2*T2^6 - 
      1645*T1^3*T2^6 + 14328*T1^4*T2^6 - 10127*T1^5*T2^6 - 27253*T1^6*T2^6 + 
      41509*T1^7*T2^6 - 27253*T1^8*T2^6 - 10127*T1^9*T2^6 + 
      14328*T1^10*T2^6 - 1645*T1^11*T2^6 - 835*T1^12*T2^6 + 248*T1^13*T2^6 + 
      30*T1^14*T2^6 - 8*T2^7 - 176*T1*T2^7 - 124*T1^2*T2^7 + 3697*T1^3*T2^7 - 
      10002*T1^4*T2^7 - 10127*T1^5*T2^7 + 41509*T1^6*T2^7 - 18550*T1^7*T2^7 - 
      18550*T1^8*T2^7 + 41509*T1^9*T2^7 - 10127*T1^10*T2^7 - 
      10002*T1^11*T2^7 + 3697*T1^12*T2^7 - 124*T1^13*T2^7 - 176*T1^14*T2^7 - 
      8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 416*T1^2*T2^8 - 1798*T1^3*T2^8 - 
      1048*T1^4*T2^8 + 23228*T1^5*T2^8 - 27253*T1^6*T2^8 - 18550*T1^7*T2^8 + 
      36096*T1^8*T2^8 - 18550*T1^9*T2^8 - 27253*T1^10*T2^8 + 
      23228*T1^11*T2^8 - 1048*T1^12*T2^8 - 1798*T1^13*T2^8 + 416*T1^14*T2^8 + 
      56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 176*T1^2*T2^9 - 
      124*T1^3*T2^9 + 3697*T1^4*T2^9 - 10002*T1^5*T2^9 - 10127*T1^6*T2^9 + 
      41509*T1^7*T2^9 - 18550*T1^8*T2^9 - 18550*T1^9*T2^9 + 
      41509*T1^10*T2^9 - 10127*T1^11*T2^9 - 10002*T1^12*T2^9 + 
      3697*T1^13*T2^9 - 124*T1^14*T2^9 - 176*T1^15*T2^9 - 8*T1^16*T2^9 + 
      30*T1^2*T2^10 + 248*T1^3*T2^10 - 835*T1^4*T2^10 - 1645*T1^5*T2^10 + 
      14328*T1^6*T2^10 - 10127*T1^7*T2^10 - 27253*T1^8*T2^10 + 
      41509*T1^9*T2^10 - 27253*T1^10*T2^10 - 10127*T1^11*T2^10 + 
      14328*T1^12*T2^10 - 1645*T1^13*T2^10 - 835*T1^14*T2^10 + 
      248*T1^15*T2^10 + 30*T1^16*T2^10 - 61*T1^3*T2^11 - 112*T1^4*T2^11 + 
      1250*T1^5*T2^11 - 1645*T1^6*T2^11 - 10002*T1^7*T2^11 + 
      23228*T1^8*T2^11 - 10127*T1^9*T2^11 - 10127*T1^10*T2^11 + 
      23228*T1^11*T2^11 - 10002*T1^12*T2^11 - 1645*T1^13*T2^11 + 
      1250*T1^14*T2^11 - 112*T1^15*T2^11 - 61*T1^16*T2^11 + 75*T1^4*T2^12 - 
      112*T1^5*T2^12 - 835*T1^6*T2^12 + 3697*T1^7*T2^12 - 1048*T1^8*T2^12 - 
      10002*T1^9*T2^12 + 14328*T1^10*T2^12 - 10002*T1^11*T2^12 - 
      1048*T1^12*T2^12 + 3697*T1^13*T2^12 - 835*T1^14*T2^12 - 
      112*T1^15*T2^12 + 75*T1^16*T2^12 - 61*T1^5*T2^13 + 248*T1^6*T2^13 - 
      124*T1^7*T2^13 - 1798*T1^8*T2^13 + 3697*T1^9*T2^13 - 1645*T1^10*T2^13 - 
      1645*T1^11*T2^13 + 3697*T1^12*T2^13 - 1798*T1^13*T2^13 - 
      124*T1^14*T2^13 + 248*T1^15*T2^13 - 61*T1^16*T2^13 + 30*T1^6*T2^14 - 
      176*T1^7*T2^14 + 416*T1^8*T2^14 - 124*T1^9*T2^14 - 835*T1^10*T2^14 + 
      1250*T1^11*T2^14 - 835*T1^12*T2^14 - 124*T1^13*T2^14 + 
      416*T1^14*T2^14 - 176*T1^15*T2^14 + 30*T1^16*T2^14 - 8*T1^7*T2^15 + 
      56*T1^8*T2^15 - 176*T1^9*T2^15 + 248*T1^10*T2^15 - 112*T1^11*T2^15 - 
      112*T1^12*T2^15 + 248*T1^13*T2^15 - 176*T1^14*T2^15 + 56*T1^15*T2^15 - 
      8*T1^16*T2^15 + T1^8*T2^16 - 8*T1^9*T2^16 + 30*T1^10*T2^16 - 
      61*T1^11*T2^16 + 75*T1^12*T2^16 - 61*T1^13*T2^16 + 30*T1^14*T2^16 - 
      8*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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*(8 - 32*T1 + 66*T1^2 - 88*T1^3 + 66*T1^4 - 32*T1^5 + 8*T1^6 - 32*T2 + 
      96*T1*T2 - 136*T1^2*T2 + 88*T1^3*T2 + 88*T1^4*T2 - 136*T1^5*T2 + 
      96*T1^6*T2 - 32*T1^7*T2 + 66*T2^2 - 136*T1*T2^2 + 120*T1^2*T2^2 - 
      30*T1^3*T2^2 - 174*T1^4*T2^2 - 30*T1^5*T2^2 + 120*T1^6*T2^2 - 
      136*T1^7*T2^2 + 66*T1^8*T2^2 - 88*T2^3 + 88*T1*T2^3 - 30*T1^2*T2^3 + 
      57*T1^3*T2^3 + 169*T1^4*T2^3 + 169*T1^5*T2^3 + 57*T1^6*T2^3 - 
      30*T1^7*T2^3 + 88*T1^8*T2^3 - 88*T1^9*T2^3 + 66*T2^4 + 88*T1*T2^4 - 
      174*T1^2*T2^4 + 169*T1^3*T2^4 - 723*T1^4*T2^4 + 310*T1^5*T2^4 - 
      723*T1^6*T2^4 + 169*T1^7*T2^4 - 174*T1^8*T2^4 + 88*T1^9*T2^4 + 
      66*T1^10*T2^4 - 32*T2^5 - 136*T1*T2^5 - 30*T1^2*T2^5 + 169*T1^3*T2^5 + 
      310*T1^4*T2^5 + 377*T1^5*T2^5 + 377*T1^6*T2^5 + 310*T1^7*T2^5 + 
      169*T1^8*T2^5 - 30*T1^9*T2^5 - 136*T1^10*T2^5 - 32*T1^11*T2^5 + 
      8*T2^6 + 96*T1*T2^6 + 120*T1^2*T2^6 + 57*T1^3*T2^6 - 723*T1^4*T2^6 + 
      377*T1^5*T2^6 - 1398*T1^6*T2^6 + 377*T1^7*T2^6 - 723*T1^8*T2^6 + 
      57*T1^9*T2^6 + 120*T1^10*T2^6 + 96*T1^11*T2^6 + 8*T1^12*T2^6 - 
      32*T1*T2^7 - 136*T1^2*T2^7 - 30*T1^3*T2^7 + 169*T1^4*T2^7 + 
      310*T1^5*T2^7 + 377*T1^6*T2^7 + 377*T1^7*T2^7 + 310*T1^8*T2^7 + 
      169*T1^9*T2^7 - 30*T1^10*T2^7 - 136*T1^11*T2^7 - 32*T1^12*T2^7 + 
      66*T1^2*T2^8 + 88*T1^3*T2^8 - 174*T1^4*T2^8 + 169*T1^5*T2^8 - 
      723*T1^6*T2^8 + 310*T1^7*T2^8 - 723*T1^8*T2^8 + 169*T1^9*T2^8 - 
      174*T1^10*T2^8 + 88*T1^11*T2^8 + 66*T1^12*T2^8 - 88*T1^3*T2^9 + 
      88*T1^4*T2^9 - 30*T1^5*T2^9 + 57*T1^6*T2^9 + 169*T1^7*T2^9 + 
      169*T1^8*T2^9 + 57*T1^9*T2^9 - 30*T1^10*T2^9 + 88*T1^11*T2^9 - 
      88*T1^12*T2^9 + 66*T1^4*T2^10 - 136*T1^5*T2^10 + 120*T1^6*T2^10 - 
      30*T1^7*T2^10 - 174*T1^8*T2^10 - 30*T1^9*T2^10 + 120*T1^10*T2^10 - 
      136*T1^11*T2^10 + 66*T1^12*T2^10 - 32*T1^5*T2^11 + 96*T1^6*T2^11 - 
      136*T1^7*T2^11 + 88*T1^8*T2^11 + 88*T1^9*T2^11 - 136*T1^10*T2^11 + 
      96*T1^11*T2^11 - 32*T1^12*T2^11 + 8*T1^6*T2^12 - 32*T1^7*T2^12 + 
      66*T1^8*T2^12 - 88*T1^9*T2^12 + 66*T1^10*T2^12 - 32*T1^11*T2^12 + 
      8*T1^12*T2^12))/(T1^6*T2^6)}, Knot[12, Alternating, 1069] -> 
  {(2 - 19*T + 57*T^2 - 79*T^3 + 57*T^4 - 19*T^5 + 2*T^6)/T^3, 
   (9 - 84*T1 + 248*T1^2 - 341*T1^3 + 248*T1^4 - 84*T1^5 + 9*T1^6 - 84*T2 + 
     700*T1*T2 - 1528*T1^2*T2 + 866*T1^3*T2 + 866*T1^4*T2 - 1528*T1^5*T2 + 
     700*T1^6*T2 - 84*T1^7*T2 + 248*T2^2 - 1528*T1*T2^2 - 142*T1^2*T2^2 + 
     9403*T1^3*T2^2 - 15286*T1^4*T2^2 + 9403*T1^5*T2^2 - 142*T1^6*T2^2 - 
     1528*T1^7*T2^2 + 248*T1^8*T2^2 - 341*T2^3 + 866*T1*T2^3 + 
     9403*T1^2*T2^3 - 27886*T1^3*T2^3 + 16622*T1^4*T2^3 + 16622*T1^5*T2^3 - 
     27886*T1^6*T2^3 + 9403*T1^7*T2^3 + 866*T1^8*T2^3 - 341*T1^9*T2^3 + 
     248*T2^4 + 866*T1*T2^4 - 15286*T1^2*T2^4 + 16622*T1^3*T2^4 + 
     41244*T1^4*T2^4 - 80834*T1^5*T2^4 + 41244*T1^6*T2^4 + 16622*T1^7*T2^4 - 
     15286*T1^8*T2^4 + 866*T1^9*T2^4 + 248*T1^10*T2^4 - 84*T2^5 - 
     1528*T1*T2^5 + 9403*T1^2*T2^5 + 16622*T1^3*T2^5 - 80834*T1^4*T2^5 + 
     50988*T1^5*T2^5 + 50988*T1^6*T2^5 - 80834*T1^7*T2^5 + 16622*T1^8*T2^5 + 
     9403*T1^9*T2^5 - 1528*T1^10*T2^5 - 84*T1^11*T2^5 + 9*T2^6 + 
     700*T1*T2^6 - 142*T1^2*T2^6 - 27886*T1^3*T2^6 + 41244*T1^4*T2^6 + 
     50988*T1^5*T2^6 - 117036*T1^6*T2^6 + 50988*T1^7*T2^6 + 41244*T1^8*T2^6 - 
     27886*T1^9*T2^6 - 142*T1^10*T2^6 + 700*T1^11*T2^6 + 9*T1^12*T2^6 - 
     84*T1*T2^7 - 1528*T1^2*T2^7 + 9403*T1^3*T2^7 + 16622*T1^4*T2^7 - 
     80834*T1^5*T2^7 + 50988*T1^6*T2^7 + 50988*T1^7*T2^7 - 80834*T1^8*T2^7 + 
     16622*T1^9*T2^7 + 9403*T1^10*T2^7 - 1528*T1^11*T2^7 - 84*T1^12*T2^7 + 
     248*T1^2*T2^8 + 866*T1^3*T2^8 - 15286*T1^4*T2^8 + 16622*T1^5*T2^8 + 
     41244*T1^6*T2^8 - 80834*T1^7*T2^8 + 41244*T1^8*T2^8 + 16622*T1^9*T2^8 - 
     15286*T1^10*T2^8 + 866*T1^11*T2^8 + 248*T1^12*T2^8 - 341*T1^3*T2^9 + 
     866*T1^4*T2^9 + 9403*T1^5*T2^9 - 27886*T1^6*T2^9 + 16622*T1^7*T2^9 + 
     16622*T1^8*T2^9 - 27886*T1^9*T2^9 + 9403*T1^10*T2^9 + 866*T1^11*T2^9 - 
     341*T1^12*T2^9 + 248*T1^4*T2^10 - 1528*T1^5*T2^10 - 142*T1^6*T2^10 + 
     9403*T1^7*T2^10 - 15286*T1^8*T2^10 + 9403*T1^9*T2^10 - 142*T1^10*T2^10 - 
     1528*T1^11*T2^10 + 248*T1^12*T2^10 - 84*T1^5*T2^11 + 700*T1^6*T2^11 - 
     1528*T1^7*T2^11 + 866*T1^8*T2^11 + 866*T1^9*T2^11 - 1528*T1^10*T2^11 + 
     700*T1^11*T2^11 - 84*T1^12*T2^11 + 9*T1^6*T2^12 - 84*T1^7*T2^12 + 
     248*T1^8*T2^12 - 341*T1^9*T2^12 + 248*T1^10*T2^12 - 84*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, 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), -((1 - 8*T1 + 29*T1^2 - 58*T1^3 + 71*T1^4 - 58*T1^5 + 29*T1^6 - 
      8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 168*T1^2*T2 + 231*T1^3*T2 - 
      103*T1^4*T2 - 103*T1^5*T2 + 231*T1^6*T2 - 168*T1^7*T2 + 56*T1^8*T2 - 
      8*T1^9*T2 + 29*T2^2 - 168*T1*T2^2 + 363*T1^2*T2^2 - 79*T1^3*T2^2 - 
      753*T1^4*T2^2 + 1099*T1^5*T2^2 - 753*T1^6*T2^2 - 79*T1^7*T2^2 + 
      363*T1^8*T2^2 - 168*T1^9*T2^2 + 29*T1^10*T2^2 - 58*T2^3 + 231*T1*T2^3 - 
      79*T1^2*T2^3 - 1476*T1^3*T2^3 + 2898*T1^4*T2^3 - 1256*T1^5*T2^3 - 
      1256*T1^6*T2^3 + 2898*T1^7*T2^3 - 1476*T1^8*T2^3 - 79*T1^9*T2^3 + 
      231*T1^10*T2^3 - 58*T1^11*T2^3 + 71*T2^4 - 103*T1*T2^4 - 
      753*T1^2*T2^4 + 2898*T1^3*T2^4 - 1022*T1^4*T2^4 - 6617*T1^5*T2^4 + 
      9480*T1^6*T2^4 - 6617*T1^7*T2^4 - 1022*T1^8*T2^4 + 2898*T1^9*T2^4 - 
      753*T1^10*T2^4 - 103*T1^11*T2^4 + 71*T1^12*T2^4 - 58*T2^5 - 
      103*T1*T2^5 + 1099*T1^2*T2^5 - 1256*T1^3*T2^5 - 6617*T1^4*T2^5 + 
      15194*T1^5*T2^5 - 6537*T1^6*T2^5 - 6537*T1^7*T2^5 + 15194*T1^8*T2^5 - 
      6617*T1^9*T2^5 - 1256*T1^10*T2^5 + 1099*T1^11*T2^5 - 103*T1^12*T2^5 - 
      58*T1^13*T2^5 + 29*T2^6 + 231*T1*T2^6 - 753*T1^2*T2^6 - 
      1256*T1^3*T2^6 + 9480*T1^4*T2^6 - 6537*T1^5*T2^6 - 17107*T1^6*T2^6 + 
      26091*T1^7*T2^6 - 17107*T1^8*T2^6 - 6537*T1^9*T2^6 + 9480*T1^10*T2^6 - 
      1256*T1^11*T2^6 - 753*T1^12*T2^6 + 231*T1^13*T2^6 + 29*T1^14*T2^6 - 
      8*T2^7 - 168*T1*T2^7 - 79*T1^2*T2^7 + 2898*T1^3*T2^7 - 6617*T1^4*T2^7 - 
      6537*T1^5*T2^7 + 26091*T1^6*T2^7 - 11784*T1^7*T2^7 - 11784*T1^8*T2^7 + 
      26091*T1^9*T2^7 - 6537*T1^10*T2^7 - 6617*T1^11*T2^7 + 2898*T1^12*T2^7 - 
      79*T1^13*T2^7 - 168*T1^14*T2^7 - 8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 
      363*T1^2*T2^8 - 1476*T1^3*T2^8 - 1022*T1^4*T2^8 + 15194*T1^5*T2^8 - 
      17107*T1^6*T2^8 - 11784*T1^7*T2^8 + 23256*T1^8*T2^8 - 11784*T1^9*T2^8 - 
      17107*T1^10*T2^8 + 15194*T1^11*T2^8 - 1022*T1^12*T2^8 - 
      1476*T1^13*T2^8 + 363*T1^14*T2^8 + 56*T1^15*T2^8 + T1^16*T2^8 - 
      8*T1*T2^9 - 168*T1^2*T2^9 - 79*T1^3*T2^9 + 2898*T1^4*T2^9 - 
      6617*T1^5*T2^9 - 6537*T1^6*T2^9 + 26091*T1^7*T2^9 - 11784*T1^8*T2^9 - 
      11784*T1^9*T2^9 + 26091*T1^10*T2^9 - 6537*T1^11*T2^9 - 
      6617*T1^12*T2^9 + 2898*T1^13*T2^9 - 79*T1^14*T2^9 - 168*T1^15*T2^9 - 
      8*T1^16*T2^9 + 29*T1^2*T2^10 + 231*T1^3*T2^10 - 753*T1^4*T2^10 - 
      1256*T1^5*T2^10 + 9480*T1^6*T2^10 - 6537*T1^7*T2^10 - 
      17107*T1^8*T2^10 + 26091*T1^9*T2^10 - 17107*T1^10*T2^10 - 
      6537*T1^11*T2^10 + 9480*T1^12*T2^10 - 1256*T1^13*T2^10 - 
      753*T1^14*T2^10 + 231*T1^15*T2^10 + 29*T1^16*T2^10 - 58*T1^3*T2^11 - 
      103*T1^4*T2^11 + 1099*T1^5*T2^11 - 1256*T1^6*T2^11 - 6617*T1^7*T2^11 + 
      15194*T1^8*T2^11 - 6537*T1^9*T2^11 - 6537*T1^10*T2^11 + 
      15194*T1^11*T2^11 - 6617*T1^12*T2^11 - 1256*T1^13*T2^11 + 
      1099*T1^14*T2^11 - 103*T1^15*T2^11 - 58*T1^16*T2^11 + 71*T1^4*T2^12 - 
      103*T1^5*T2^12 - 753*T1^6*T2^12 + 2898*T1^7*T2^12 - 1022*T1^8*T2^12 - 
      6617*T1^9*T2^12 + 9480*T1^10*T2^12 - 6617*T1^11*T2^12 - 
      1022*T1^12*T2^12 + 2898*T1^13*T2^12 - 753*T1^14*T2^12 - 
      103*T1^15*T2^12 + 71*T1^16*T2^12 - 58*T1^5*T2^13 + 231*T1^6*T2^13 - 
      79*T1^7*T2^13 - 1476*T1^8*T2^13 + 2898*T1^9*T2^13 - 1256*T1^10*T2^13 - 
      1256*T1^11*T2^13 + 2898*T1^12*T2^13 - 1476*T1^13*T2^13 - 
      79*T1^14*T2^13 + 231*T1^15*T2^13 - 58*T1^16*T2^13 + 29*T1^6*T2^14 - 
      168*T1^7*T2^14 + 363*T1^8*T2^14 - 79*T1^9*T2^14 - 753*T1^10*T2^14 + 
      1099*T1^11*T2^14 - 753*T1^12*T2^14 - 79*T1^13*T2^14 + 363*T1^14*T2^14 - 
      168*T1^15*T2^14 + 29*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 
      168*T1^9*T2^15 + 231*T1^10*T2^15 - 103*T1^11*T2^15 - 103*T1^12*T2^15 + 
      231*T1^13*T2^15 - 168*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + 
      T1^8*T2^16 - 8*T1^9*T2^16 + 29*T1^10*T2^16 - 58*T1^11*T2^16 + 
      71*T1^12*T2^16 - 58*T1^13*T2^16 + 29*T1^14*T2^16 - 8*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, 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), -((9 - 44*T1 + 113*T1^2 - 199*T1^3 + 237*T1^4 - 199*T1^5 + 
      113*T1^6 - 44*T1^7 + 9*T1^8 - 44*T2 + 172*T1*T2 - 339*T1^2*T2 + 
      422*T1^3*T2 - 187*T1^4*T2 - 187*T1^5*T2 + 422*T1^6*T2 - 339*T1^7*T2 + 
      172*T1^8*T2 - 44*T1^9*T2 + 113*T2^2 - 339*T1*T2^2 + 475*T1^2*T2^2 - 
      325*T1^3*T2^2 - 438*T1^4*T2^2 + 789*T1^5*T2^2 - 438*T1^6*T2^2 - 
      325*T1^7*T2^2 + 475*T1^8*T2^2 - 339*T1^9*T2^2 + 113*T1^10*T2^2 - 
      199*T2^3 + 422*T1*T2^3 - 325*T1^2*T2^3 - 124*T1^3*T2^3 + 
      1253*T1^4*T2^3 - 623*T1^5*T2^3 - 623*T1^6*T2^3 + 1253*T1^7*T2^3 - 
      124*T1^8*T2^3 - 325*T1^9*T2^3 + 422*T1^10*T2^3 - 199*T1^11*T2^3 + 
      237*T2^4 - 187*T1*T2^4 - 438*T1^2*T2^4 + 1253*T1^3*T2^4 - 
      2409*T1^4*T2^4 - 5*T1^5*T2^4 + 1085*T1^6*T2^4 - 5*T1^7*T2^4 - 
      2409*T1^8*T2^4 + 1253*T1^9*T2^4 - 438*T1^10*T2^4 - 187*T1^11*T2^4 + 
      237*T1^12*T2^4 - 199*T2^5 - 187*T1*T2^5 + 789*T1^2*T2^5 - 
      623*T1^3*T2^5 - 5*T1^4*T2^5 + 4364*T1^5*T2^5 - 2198*T1^6*T2^5 - 
      2198*T1^7*T2^5 + 4364*T1^8*T2^5 - 5*T1^9*T2^5 - 623*T1^10*T2^5 + 
      789*T1^11*T2^5 - 187*T1^12*T2^5 - 199*T1^13*T2^5 + 113*T2^6 + 
      422*T1*T2^6 - 438*T1^2*T2^6 - 623*T1^3*T2^6 + 1085*T1^4*T2^6 - 
      2198*T1^5*T2^6 - 6861*T1^6*T2^6 + 10973*T1^7*T2^6 - 6861*T1^8*T2^6 - 
      2198*T1^9*T2^6 + 1085*T1^10*T2^6 - 623*T1^11*T2^6 - 438*T1^12*T2^6 + 
      422*T1^13*T2^6 + 113*T1^14*T2^6 - 44*T2^7 - 339*T1*T2^7 - 
      325*T1^2*T2^7 + 1253*T1^3*T2^7 - 5*T1^4*T2^7 - 2198*T1^5*T2^7 + 
      10973*T1^6*T2^7 - 5440*T1^7*T2^7 - 5440*T1^8*T2^7 + 10973*T1^9*T2^7 - 
      2198*T1^10*T2^7 - 5*T1^11*T2^7 + 1253*T1^12*T2^7 - 325*T1^13*T2^7 - 
      339*T1^14*T2^7 - 44*T1^15*T2^7 + 9*T2^8 + 172*T1*T2^8 + 475*T1^2*T2^8 - 
      124*T1^3*T2^8 - 2409*T1^4*T2^8 + 4364*T1^5*T2^8 - 6861*T1^6*T2^8 - 
      5440*T1^7*T2^8 + 11220*T1^8*T2^8 - 5440*T1^9*T2^8 - 6861*T1^10*T2^8 + 
      4364*T1^11*T2^8 - 2409*T1^12*T2^8 - 124*T1^13*T2^8 + 475*T1^14*T2^8 + 
      172*T1^15*T2^8 + 9*T1^16*T2^8 - 44*T1*T2^9 - 339*T1^2*T2^9 - 
      325*T1^3*T2^9 + 1253*T1^4*T2^9 - 5*T1^5*T2^9 - 2198*T1^6*T2^9 + 
      10973*T1^7*T2^9 - 5440*T1^8*T2^9 - 5440*T1^9*T2^9 + 10973*T1^10*T2^9 - 
      2198*T1^11*T2^9 - 5*T1^12*T2^9 + 1253*T1^13*T2^9 - 325*T1^14*T2^9 - 
      339*T1^15*T2^9 - 44*T1^16*T2^9 + 113*T1^2*T2^10 + 422*T1^3*T2^10 - 
      438*T1^4*T2^10 - 623*T1^5*T2^10 + 1085*T1^6*T2^10 - 2198*T1^7*T2^10 - 
      6861*T1^8*T2^10 + 10973*T1^9*T2^10 - 6861*T1^10*T2^10 - 
      2198*T1^11*T2^10 + 1085*T1^12*T2^10 - 623*T1^13*T2^10 - 
      438*T1^14*T2^10 + 422*T1^15*T2^10 + 113*T1^16*T2^10 - 199*T1^3*T2^11 - 
      187*T1^4*T2^11 + 789*T1^5*T2^11 - 623*T1^6*T2^11 - 5*T1^7*T2^11 + 
      4364*T1^8*T2^11 - 2198*T1^9*T2^11 - 2198*T1^10*T2^11 + 
      4364*T1^11*T2^11 - 5*T1^12*T2^11 - 623*T1^13*T2^11 + 789*T1^14*T2^11 - 
      187*T1^15*T2^11 - 199*T1^16*T2^11 + 237*T1^4*T2^12 - 187*T1^5*T2^12 - 
      438*T1^6*T2^12 + 1253*T1^7*T2^12 - 2409*T1^8*T2^12 - 5*T1^9*T2^12 + 
      1085*T1^10*T2^12 - 5*T1^11*T2^12 - 2409*T1^12*T2^12 + 
      1253*T1^13*T2^12 - 438*T1^14*T2^12 - 187*T1^15*T2^12 + 
      237*T1^16*T2^12 - 199*T1^5*T2^13 + 422*T1^6*T2^13 - 325*T1^7*T2^13 - 
      124*T1^8*T2^13 + 1253*T1^9*T2^13 - 623*T1^10*T2^13 - 623*T1^11*T2^13 + 
      1253*T1^12*T2^13 - 124*T1^13*T2^13 - 325*T1^14*T2^13 + 
      422*T1^15*T2^13 - 199*T1^16*T2^13 + 113*T1^6*T2^14 - 339*T1^7*T2^14 + 
      475*T1^8*T2^14 - 325*T1^9*T2^14 - 438*T1^10*T2^14 + 789*T1^11*T2^14 - 
      438*T1^12*T2^14 - 325*T1^13*T2^14 + 475*T1^14*T2^14 - 339*T1^15*T2^14 + 
      113*T1^16*T2^14 - 44*T1^7*T2^15 + 172*T1^8*T2^15 - 339*T1^9*T2^15 + 
      422*T1^10*T2^15 - 187*T1^11*T2^15 - 187*T1^12*T2^15 + 422*T1^13*T2^15 - 
      339*T1^14*T2^15 + 172*T1^15*T2^15 - 44*T1^16*T2^15 + 9*T1^8*T2^16 - 
      44*T1^9*T2^16 + 113*T1^10*T2^16 - 199*T1^11*T2^16 + 237*T1^12*T2^16 - 
      199*T1^13*T2^16 + 113*T1^14*T2^16 - 44*T1^15*T2^16 + 9*T1^16*T2^16)/
     (T1^8*T2^8))}, 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, -((17 - 92*T1 + 247*T1^2 - 397*T1^3 + 459*T1^4 - 397*T1^5 + 
      247*T1^6 - 92*T1^7 + 17*T1^8 - 92*T2 + 408*T1*T2 - 847*T1^2*T2 + 
      826*T1^3*T2 - 343*T1^4*T2 - 343*T1^5*T2 + 826*T1^6*T2 - 847*T1^7*T2 + 
      408*T1^8*T2 - 92*T1^9*T2 + 247*T2^2 - 847*T1*T2^2 + 1147*T1^2*T2^2 + 
      194*T1^3*T2^2 - 1598*T1^4*T2^2 + 2221*T1^5*T2^2 - 1598*T1^6*T2^2 + 
      194*T1^7*T2^2 + 1147*T1^8*T2^2 - 847*T1^9*T2^2 + 247*T1^10*T2^2 - 
      397*T2^3 + 826*T1*T2^3 + 194*T1^2*T2^3 - 3648*T1^3*T2^3 + 
      3855*T1^4*T2^3 - 1689*T1^5*T2^3 - 1689*T1^6*T2^3 + 3855*T1^7*T2^3 - 
      3648*T1^8*T2^3 + 194*T1^9*T2^3 + 826*T1^10*T2^3 - 397*T1^11*T2^3 + 
      459*T2^4 - 343*T1*T2^4 - 1598*T1^2*T2^4 + 3855*T1^3*T2^4 + 
      2574*T1^4*T2^4 - 8494*T1^5*T2^4 + 11290*T1^6*T2^4 - 8494*T1^7*T2^4 + 
      2574*T1^8*T2^4 + 3855*T1^9*T2^4 - 1598*T1^10*T2^4 - 343*T1^11*T2^4 + 
      459*T1^12*T2^4 - 397*T2^5 - 343*T1*T2^5 + 2221*T1^2*T2^5 - 
      1689*T1^3*T2^5 - 8494*T1^4*T2^5 + 8872*T1^5*T2^5 - 4125*T1^6*T2^5 - 
      4125*T1^7*T2^5 + 8872*T1^8*T2^5 - 8494*T1^9*T2^5 - 1689*T1^10*T2^5 + 
      2221*T1^11*T2^5 - 343*T1^12*T2^5 - 397*T1^13*T2^5 + 247*T2^6 + 
      826*T1*T2^6 - 1598*T1^2*T2^6 - 1689*T1^3*T2^6 + 11290*T1^4*T2^6 - 
      4125*T1^5*T2^6 - 1327*T1^6*T2^6 + 4811*T1^7*T2^6 - 1327*T1^8*T2^6 - 
      4125*T1^9*T2^6 + 11290*T1^10*T2^6 - 1689*T1^11*T2^6 - 1598*T1^12*T2^6 + 
      826*T1^13*T2^6 + 247*T1^14*T2^6 - 92*T2^7 - 847*T1*T2^7 + 
      194*T1^2*T2^7 + 3855*T1^3*T2^7 - 8494*T1^4*T2^7 - 4125*T1^5*T2^7 + 
      4811*T1^6*T2^7 - 2972*T1^7*T2^7 - 2972*T1^8*T2^7 + 4811*T1^9*T2^7 - 
      4125*T1^10*T2^7 - 8494*T1^11*T2^7 + 3855*T1^12*T2^7 + 194*T1^13*T2^7 - 
      847*T1^14*T2^7 - 92*T1^15*T2^7 + 17*T2^8 + 408*T1*T2^8 + 
      1147*T1^2*T2^8 - 3648*T1^3*T2^8 + 2574*T1^4*T2^8 + 8872*T1^5*T2^8 - 
      1327*T1^6*T2^8 - 2972*T1^7*T2^8 + 6444*T1^8*T2^8 - 2972*T1^9*T2^8 - 
      1327*T1^10*T2^8 + 8872*T1^11*T2^8 + 2574*T1^12*T2^8 - 3648*T1^13*T2^8 + 
      1147*T1^14*T2^8 + 408*T1^15*T2^8 + 17*T1^16*T2^8 - 92*T1*T2^9 - 
      847*T1^2*T2^9 + 194*T1^3*T2^9 + 3855*T1^4*T2^9 - 8494*T1^5*T2^9 - 
      4125*T1^6*T2^9 + 4811*T1^7*T2^9 - 2972*T1^8*T2^9 - 2972*T1^9*T2^9 + 
      4811*T1^10*T2^9 - 4125*T1^11*T2^9 - 8494*T1^12*T2^9 + 3855*T1^13*T2^9 + 
      194*T1^14*T2^9 - 847*T1^15*T2^9 - 92*T1^16*T2^9 + 247*T1^2*T2^10 + 
      826*T1^3*T2^10 - 1598*T1^4*T2^10 - 1689*T1^5*T2^10 + 11290*T1^6*T2^10 - 
      4125*T1^7*T2^10 - 1327*T1^8*T2^10 + 4811*T1^9*T2^10 - 
      1327*T1^10*T2^10 - 4125*T1^11*T2^10 + 11290*T1^12*T2^10 - 
      1689*T1^13*T2^10 - 1598*T1^14*T2^10 + 826*T1^15*T2^10 + 
      247*T1^16*T2^10 - 397*T1^3*T2^11 - 343*T1^4*T2^11 + 2221*T1^5*T2^11 - 
      1689*T1^6*T2^11 - 8494*T1^7*T2^11 + 8872*T1^8*T2^11 - 4125*T1^9*T2^11 - 
      4125*T1^10*T2^11 + 8872*T1^11*T2^11 - 8494*T1^12*T2^11 - 
      1689*T1^13*T2^11 + 2221*T1^14*T2^11 - 343*T1^15*T2^11 - 
      397*T1^16*T2^11 + 459*T1^4*T2^12 - 343*T1^5*T2^12 - 1598*T1^6*T2^12 + 
      3855*T1^7*T2^12 + 2574*T1^8*T2^12 - 8494*T1^9*T2^12 + 
      11290*T1^10*T2^12 - 8494*T1^11*T2^12 + 2574*T1^12*T2^12 + 
      3855*T1^13*T2^12 - 1598*T1^14*T2^12 - 343*T1^15*T2^12 + 
      459*T1^16*T2^12 - 397*T1^5*T2^13 + 826*T1^6*T2^13 + 194*T1^7*T2^13 - 
      3648*T1^8*T2^13 + 3855*T1^9*T2^13 - 1689*T1^10*T2^13 - 
      1689*T1^11*T2^13 + 3855*T1^12*T2^13 - 3648*T1^13*T2^13 + 
      194*T1^14*T2^13 + 826*T1^15*T2^13 - 397*T1^16*T2^13 + 247*T1^6*T2^14 - 
      847*T1^7*T2^14 + 1147*T1^8*T2^14 + 194*T1^9*T2^14 - 1598*T1^10*T2^14 + 
      2221*T1^11*T2^14 - 1598*T1^12*T2^14 + 194*T1^13*T2^14 + 
      1147*T1^14*T2^14 - 847*T1^15*T2^14 + 247*T1^16*T2^14 - 92*T1^7*T2^15 + 
      408*T1^8*T2^15 - 847*T1^9*T2^15 + 826*T1^10*T2^15 - 343*T1^11*T2^15 - 
      343*T1^12*T2^15 + 826*T1^13*T2^15 - 847*T1^14*T2^15 + 408*T1^15*T2^15 - 
      92*T1^16*T2^15 + 17*T1^8*T2^16 - 92*T1^9*T2^16 + 247*T1^10*T2^16 - 
      397*T1^11*T2^16 + 459*T1^12*T2^16 - 397*T1^13*T2^16 + 247*T1^14*T2^16 - 
      92*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 1073] -> 
  {-(((1 - T + T^2)*(4 - 18*T + 27*T^2 - 18*T^3 + 4*T^4))/T^3), 
   -((144 - 776*T1 + 1708*T1^2 - 2192*T1^3 + 1708*T1^4 - 776*T1^5 + 
      144*T1^6 - 776*T2 + 3406*T1*T2 - 5028*T1^2*T2 + 2610*T1^3*T2 + 
      2610*T1^4*T2 - 5028*T1^5*T2 + 3406*T1^6*T2 - 776*T1^7*T2 + 1708*T2^2 - 
      5028*T1*T2^2 - 401*T1^2*T2^2 + 14091*T1^3*T2^2 - 22733*T1^4*T2^2 + 
      14091*T1^5*T2^2 - 401*T1^6*T2^2 - 5028*T1^7*T2^2 + 1708*T1^8*T2^2 - 
      2192*T2^3 + 2610*T1*T2^3 + 14091*T1^2*T2^3 - 28366*T1^3*T2^3 + 
      16703*T1^4*T2^3 + 16703*T1^5*T2^3 - 28366*T1^6*T2^3 + 14091*T1^7*T2^3 + 
      2610*T1^8*T2^3 - 2192*T1^9*T2^3 + 1708*T2^4 + 2610*T1*T2^4 - 
      22733*T1^2*T2^4 + 16703*T1^3*T2^4 + 20722*T1^4*T2^4 - 49298*T1^5*T2^4 + 
      20722*T1^6*T2^4 + 16703*T1^7*T2^4 - 22733*T1^8*T2^4 + 2610*T1^9*T2^4 + 
      1708*T1^10*T2^4 - 776*T2^5 - 5028*T1*T2^5 + 14091*T1^2*T2^5 + 
      16703*T1^3*T2^5 - 49298*T1^4*T2^5 + 32610*T1^5*T2^5 + 32610*T1^6*T2^5 - 
      49298*T1^7*T2^5 + 16703*T1^8*T2^5 + 14091*T1^9*T2^5 - 5028*T1^10*T2^5 - 
      776*T1^11*T2^5 + 144*T2^6 + 3406*T1*T2^6 - 401*T1^2*T2^6 - 
      28366*T1^3*T2^6 + 20722*T1^4*T2^6 + 32610*T1^5*T2^6 - 75048*T1^6*T2^6 + 
      32610*T1^7*T2^6 + 20722*T1^8*T2^6 - 28366*T1^9*T2^6 - 401*T1^10*T2^6 + 
      3406*T1^11*T2^6 + 144*T1^12*T2^6 - 776*T1*T2^7 - 5028*T1^2*T2^7 + 
      14091*T1^3*T2^7 + 16703*T1^4*T2^7 - 49298*T1^5*T2^7 + 32610*T1^6*T2^7 + 
      32610*T1^7*T2^7 - 49298*T1^8*T2^7 + 16703*T1^9*T2^7 + 
      14091*T1^10*T2^7 - 5028*T1^11*T2^7 - 776*T1^12*T2^7 + 1708*T1^2*T2^8 + 
      2610*T1^3*T2^8 - 22733*T1^4*T2^8 + 16703*T1^5*T2^8 + 20722*T1^6*T2^8 - 
      49298*T1^7*T2^8 + 20722*T1^8*T2^8 + 16703*T1^9*T2^8 - 
      22733*T1^10*T2^8 + 2610*T1^11*T2^8 + 1708*T1^12*T2^8 - 2192*T1^3*T2^9 + 
      2610*T1^4*T2^9 + 14091*T1^5*T2^9 - 28366*T1^6*T2^9 + 16703*T1^7*T2^9 + 
      16703*T1^8*T2^9 - 28366*T1^9*T2^9 + 14091*T1^10*T2^9 + 
      2610*T1^11*T2^9 - 2192*T1^12*T2^9 + 1708*T1^4*T2^10 - 5028*T1^5*T2^10 - 
      401*T1^6*T2^10 + 14091*T1^7*T2^10 - 22733*T1^8*T2^10 + 
      14091*T1^9*T2^10 - 401*T1^10*T2^10 - 5028*T1^11*T2^10 + 
      1708*T1^12*T2^10 - 776*T1^5*T2^11 + 3406*T1^6*T2^11 - 5028*T1^7*T2^11 + 
      2610*T1^8*T2^11 + 2610*T1^9*T2^11 - 5028*T1^10*T2^11 + 
      3406*T1^11*T2^11 - 776*T1^12*T2^11 + 144*T1^6*T2^12 - 776*T1^7*T2^12 + 
      1708*T1^8*T2^12 - 2192*T1^9*T2^12 + 1708*T1^10*T2^12 - 
      776*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   (2 - 16*T1 + 48*T1^2 - 80*T1^3 + 94*T1^4 - 80*T1^5 + 48*T1^6 - 16*T1^7 + 
     2*T1^8 - 16*T2 + 112*T1*T2 - 255*T1^2*T2 + 254*T1^3*T2 - 111*T1^4*T2 - 
     111*T1^5*T2 + 254*T1^6*T2 - 255*T1^7*T2 + 112*T1^8*T2 - 16*T1^9*T2 + 
     48*T2^2 - 255*T1*T2^2 + 182*T1^2*T2^2 + 717*T1^3*T2^2 - 1606*T1^4*T2^2 + 
     2042*T1^5*T2^2 - 1606*T1^6*T2^2 + 717*T1^7*T2^2 + 182*T1^8*T2^2 - 
     255*T1^9*T2^2 + 48*T1^10*T2^2 - 80*T2^3 + 254*T1*T2^3 + 717*T1^2*T2^3 - 
     2826*T1^3*T2^3 + 2836*T1^4*T2^3 - 1313*T1^5*T2^3 - 1313*T1^6*T2^3 + 
     2836*T1^7*T2^3 - 2826*T1^8*T2^3 + 717*T1^9*T2^3 + 254*T1^10*T2^3 - 
     80*T1^11*T2^3 + 94*T2^4 - 111*T1*T2^4 - 1606*T1^2*T2^4 + 
     2836*T1^3*T2^4 + 1237*T1^4*T2^4 - 5005*T1^5*T2^4 + 7231*T1^6*T2^4 - 
     5005*T1^7*T2^4 + 1237*T1^8*T2^4 + 2836*T1^9*T2^4 - 1606*T1^10*T2^4 - 
     111*T1^11*T2^4 + 94*T1^12*T2^4 - 80*T2^5 - 111*T1*T2^5 + 
     2042*T1^2*T2^5 - 1313*T1^3*T2^5 - 5005*T1^4*T2^5 + 5532*T1^5*T2^5 - 
     3075*T1^6*T2^5 - 3075*T1^7*T2^5 + 5532*T1^8*T2^5 - 5005*T1^9*T2^5 - 
     1313*T1^10*T2^5 + 2042*T1^11*T2^5 - 111*T1^12*T2^5 - 80*T1^13*T2^5 + 
     48*T2^6 + 254*T1*T2^6 - 1606*T1^2*T2^6 - 1313*T1^3*T2^6 + 
     7231*T1^4*T2^6 - 3075*T1^5*T2^6 - 848*T1^6*T2^6 + 4632*T1^7*T2^6 - 
     848*T1^8*T2^6 - 3075*T1^9*T2^6 + 7231*T1^10*T2^6 - 1313*T1^11*T2^6 - 
     1606*T1^12*T2^6 + 254*T1^13*T2^6 + 48*T1^14*T2^6 - 16*T2^7 - 
     255*T1*T2^7 + 717*T1^2*T2^7 + 2836*T1^3*T2^7 - 5005*T1^4*T2^7 - 
     3075*T1^5*T2^7 + 4632*T1^6*T2^7 - 3572*T1^7*T2^7 - 3572*T1^8*T2^7 + 
     4632*T1^9*T2^7 - 3075*T1^10*T2^7 - 5005*T1^11*T2^7 + 2836*T1^12*T2^7 + 
     717*T1^13*T2^7 - 255*T1^14*T2^7 - 16*T1^15*T2^7 + 2*T2^8 + 112*T1*T2^8 + 
     182*T1^2*T2^8 - 2826*T1^3*T2^8 + 1237*T1^4*T2^8 + 5532*T1^5*T2^8 - 
     848*T1^6*T2^8 - 3572*T1^7*T2^8 + 8364*T1^8*T2^8 - 3572*T1^9*T2^8 - 
     848*T1^10*T2^8 + 5532*T1^11*T2^8 + 1237*T1^12*T2^8 - 2826*T1^13*T2^8 + 
     182*T1^14*T2^8 + 112*T1^15*T2^8 + 2*T1^16*T2^8 - 16*T1*T2^9 - 
     255*T1^2*T2^9 + 717*T1^3*T2^9 + 2836*T1^4*T2^9 - 5005*T1^5*T2^9 - 
     3075*T1^6*T2^9 + 4632*T1^7*T2^9 - 3572*T1^8*T2^9 - 3572*T1^9*T2^9 + 
     4632*T1^10*T2^9 - 3075*T1^11*T2^9 - 5005*T1^12*T2^9 + 2836*T1^13*T2^9 + 
     717*T1^14*T2^9 - 255*T1^15*T2^9 - 16*T1^16*T2^9 + 48*T1^2*T2^10 + 
     254*T1^3*T2^10 - 1606*T1^4*T2^10 - 1313*T1^5*T2^10 + 7231*T1^6*T2^10 - 
     3075*T1^7*T2^10 - 848*T1^8*T2^10 + 4632*T1^9*T2^10 - 848*T1^10*T2^10 - 
     3075*T1^11*T2^10 + 7231*T1^12*T2^10 - 1313*T1^13*T2^10 - 
     1606*T1^14*T2^10 + 254*T1^15*T2^10 + 48*T1^16*T2^10 - 80*T1^3*T2^11 - 
     111*T1^4*T2^11 + 2042*T1^5*T2^11 - 1313*T1^6*T2^11 - 5005*T1^7*T2^11 + 
     5532*T1^8*T2^11 - 3075*T1^9*T2^11 - 3075*T1^10*T2^11 + 
     5532*T1^11*T2^11 - 5005*T1^12*T2^11 - 1313*T1^13*T2^11 + 
     2042*T1^14*T2^11 - 111*T1^15*T2^11 - 80*T1^16*T2^11 + 94*T1^4*T2^12 - 
     111*T1^5*T2^12 - 1606*T1^6*T2^12 + 2836*T1^7*T2^12 + 1237*T1^8*T2^12 - 
     5005*T1^9*T2^12 + 7231*T1^10*T2^12 - 5005*T1^11*T2^12 + 
     1237*T1^12*T2^12 + 2836*T1^13*T2^12 - 1606*T1^14*T2^12 - 
     111*T1^15*T2^12 + 94*T1^16*T2^12 - 80*T1^5*T2^13 + 254*T1^6*T2^13 + 
     717*T1^7*T2^13 - 2826*T1^8*T2^13 + 2836*T1^9*T2^13 - 1313*T1^10*T2^13 - 
     1313*T1^11*T2^13 + 2836*T1^12*T2^13 - 2826*T1^13*T2^13 + 
     717*T1^14*T2^13 + 254*T1^15*T2^13 - 80*T1^16*T2^13 + 48*T1^6*T2^14 - 
     255*T1^7*T2^14 + 182*T1^8*T2^14 + 717*T1^9*T2^14 - 1606*T1^10*T2^14 + 
     2042*T1^11*T2^14 - 1606*T1^12*T2^14 + 717*T1^13*T2^14 + 
     182*T1^14*T2^14 - 255*T1^15*T2^14 + 48*T1^16*T2^14 - 16*T1^7*T2^15 + 
     112*T1^8*T2^15 - 255*T1^9*T2^15 + 254*T1^10*T2^15 - 111*T1^11*T2^15 - 
     111*T1^12*T2^15 + 254*T1^13*T2^15 - 255*T1^14*T2^15 + 112*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)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 1075] -> 
  {-((4 - 19*T + 41*T^2 - 53*T^3 + 41*T^4 - 19*T^5 + 4*T^6)/T^3), 
   -((16 - 72*T1 + 156*T1^2 - 208*T1^3 + 156*T1^4 - 72*T1^5 + 16*T1^6 - 
      72*T2 + 256*T1*T2 - 385*T1^2*T2 + 237*T1^3*T2 + 237*T1^4*T2 - 
      385*T1^5*T2 + 256*T1^6*T2 - 72*T1^7*T2 + 156*T2^2 - 385*T1*T2^2 + 
      255*T1^2*T2^2 + 247*T1^3*T2^2 - 887*T1^4*T2^2 + 247*T1^5*T2^2 + 
      255*T1^6*T2^2 - 385*T1^7*T2^2 + 156*T1^8*T2^2 - 208*T2^3 + 
      237*T1*T2^3 + 247*T1^2*T2^3 - 438*T1^3*T2^3 + 717*T1^4*T2^3 + 
      717*T1^5*T2^3 - 438*T1^6*T2^3 + 247*T1^7*T2^3 + 237*T1^8*T2^3 - 
      208*T1^9*T2^3 + 156*T2^4 + 237*T1*T2^4 - 887*T1^2*T2^4 + 
      717*T1^3*T2^4 - 1813*T1^4*T2^4 + 607*T1^5*T2^4 - 1813*T1^6*T2^4 + 
      717*T1^7*T2^4 - 887*T1^8*T2^4 + 237*T1^9*T2^4 + 156*T1^10*T2^4 - 
      72*T2^5 - 385*T1*T2^5 + 247*T1^2*T2^5 + 717*T1^3*T2^5 + 607*T1^4*T2^5 + 
      1010*T1^5*T2^5 + 1010*T1^6*T2^5 + 607*T1^7*T2^5 + 717*T1^8*T2^5 + 
      247*T1^9*T2^5 - 385*T1^10*T2^5 - 72*T1^11*T2^5 + 16*T2^6 + 
      256*T1*T2^6 + 255*T1^2*T2^6 - 438*T1^3*T2^6 - 1813*T1^4*T2^6 + 
      1010*T1^5*T2^6 - 3588*T1^6*T2^6 + 1010*T1^7*T2^6 - 1813*T1^8*T2^6 - 
      438*T1^9*T2^6 + 255*T1^10*T2^6 + 256*T1^11*T2^6 + 16*T1^12*T2^6 - 
      72*T1*T2^7 - 385*T1^2*T2^7 + 247*T1^3*T2^7 + 717*T1^4*T2^7 + 
      607*T1^5*T2^7 + 1010*T1^6*T2^7 + 1010*T1^7*T2^7 + 607*T1^8*T2^7 + 
      717*T1^9*T2^7 + 247*T1^10*T2^7 - 385*T1^11*T2^7 - 72*T1^12*T2^7 + 
      156*T1^2*T2^8 + 237*T1^3*T2^8 - 887*T1^4*T2^8 + 717*T1^5*T2^8 - 
      1813*T1^6*T2^8 + 607*T1^7*T2^8 - 1813*T1^8*T2^8 + 717*T1^9*T2^8 - 
      887*T1^10*T2^8 + 237*T1^11*T2^8 + 156*T1^12*T2^8 - 208*T1^3*T2^9 + 
      237*T1^4*T2^9 + 247*T1^5*T2^9 - 438*T1^6*T2^9 + 717*T1^7*T2^9 + 
      717*T1^8*T2^9 - 438*T1^9*T2^9 + 247*T1^10*T2^9 + 237*T1^11*T2^9 - 
      208*T1^12*T2^9 + 156*T1^4*T2^10 - 385*T1^5*T2^10 + 255*T1^6*T2^10 + 
      247*T1^7*T2^10 - 887*T1^8*T2^10 + 247*T1^9*T2^10 + 255*T1^10*T2^10 - 
      385*T1^11*T2^10 + 156*T1^12*T2^10 - 72*T1^5*T2^11 + 256*T1^6*T2^11 - 
      385*T1^7*T2^11 + 237*T1^8*T2^11 + 237*T1^9*T2^11 - 385*T1^10*T2^11 + 
      256*T1^11*T2^11 - 72*T1^12*T2^11 + 16*T1^6*T2^12 - 72*T1^7*T2^12 + 
      156*T1^8*T2^12 - 208*T1^9*T2^12 + 156*T1^10*T2^12 - 72*T1^11*T2^12 + 
      16*T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   -((T1^2 - T1^3 - T1^4 + T1^5 - 7*T1*T2 + 35*T1^2*T2 - 103*T1^3*T2 + 
      153*T1^4*T2 - 103*T1^5*T2 + 35*T1^6*T2 - 7*T1^7*T2 + T2^2 + 
      35*T1*T2^2 - 164*T1^2*T2^2 + 352*T1^3*T2^2 - 236*T1^4*T2^2 - 
      236*T1^5*T2^2 + 352*T1^6*T2^2 - 164*T1^7*T2^2 + 35*T1^8*T2^2 + 
      T1^9*T2^2 - T2^3 - 103*T1*T2^3 + 352*T1^2*T2^3 - 397*T1^3*T2^3 - 
      488*T1^4*T2^3 + 1355*T1^5*T2^3 - 488*T1^6*T2^3 - 397*T1^7*T2^3 + 
      352*T1^8*T2^3 - 103*T1^9*T2^3 - T1^10*T2^3 - T2^4 + 153*T1*T2^4 - 
      236*T1^2*T2^4 - 488*T1^3*T2^4 + 2112*T1^4*T2^4 - 1611*T1^5*T2^4 - 
      1611*T1^6*T2^4 + 2112*T1^7*T2^4 - 488*T1^8*T2^4 - 236*T1^9*T2^4 + 
      153*T1^10*T2^4 - T1^11*T2^4 + T2^5 - 103*T1*T2^5 - 236*T1^2*T2^5 + 
      1355*T1^3*T2^5 - 1611*T1^4*T2^5 - 2194*T1^5*T2^5 + 5698*T1^6*T2^5 - 
      2194*T1^7*T2^5 - 1611*T1^8*T2^5 + 1355*T1^9*T2^5 - 236*T1^10*T2^5 - 
      103*T1^11*T2^5 + T1^12*T2^5 + 35*T1*T2^6 + 352*T1^2*T2^6 - 
      488*T1^3*T2^6 - 1611*T1^4*T2^6 + 5698*T1^5*T2^6 - 3994*T1^6*T2^6 - 
      3994*T1^7*T2^6 + 5698*T1^8*T2^6 - 1611*T1^9*T2^6 - 488*T1^10*T2^6 + 
      352*T1^11*T2^6 + 35*T1^12*T2^6 - 7*T1*T2^7 - 164*T1^2*T2^7 - 
      397*T1^3*T2^7 + 2112*T1^4*T2^7 - 2194*T1^5*T2^7 - 3994*T1^6*T2^7 + 
      9240*T1^7*T2^7 - 3994*T1^8*T2^7 - 2194*T1^9*T2^7 + 2112*T1^10*T2^7 - 
      397*T1^11*T2^7 - 164*T1^12*T2^7 - 7*T1^13*T2^7 + 35*T1^2*T2^8 + 
      352*T1^3*T2^8 - 488*T1^4*T2^8 - 1611*T1^5*T2^8 + 5698*T1^6*T2^8 - 
      3994*T1^7*T2^8 - 3994*T1^8*T2^8 + 5698*T1^9*T2^8 - 1611*T1^10*T2^8 - 
      488*T1^11*T2^8 + 352*T1^12*T2^8 + 35*T1^13*T2^8 + T1^2*T2^9 - 
      103*T1^3*T2^9 - 236*T1^4*T2^9 + 1355*T1^5*T2^9 - 1611*T1^6*T2^9 - 
      2194*T1^7*T2^9 + 5698*T1^8*T2^9 - 2194*T1^9*T2^9 - 1611*T1^10*T2^9 + 
      1355*T1^11*T2^9 - 236*T1^12*T2^9 - 103*T1^13*T2^9 + T1^14*T2^9 - 
      T1^3*T2^10 + 153*T1^4*T2^10 - 236*T1^5*T2^10 - 488*T1^6*T2^10 + 
      2112*T1^7*T2^10 - 1611*T1^8*T2^10 - 1611*T1^9*T2^10 + 
      2112*T1^10*T2^10 - 488*T1^11*T2^10 - 236*T1^12*T2^10 + 
      153*T1^13*T2^10 - T1^14*T2^10 - T1^4*T2^11 - 103*T1^5*T2^11 + 
      352*T1^6*T2^11 - 397*T1^7*T2^11 - 488*T1^8*T2^11 + 1355*T1^9*T2^11 - 
      488*T1^10*T2^11 - 397*T1^11*T2^11 + 352*T1^12*T2^11 - 103*T1^13*T2^11 - 
      T1^14*T2^11 + T1^5*T2^12 + 35*T1^6*T2^12 - 164*T1^7*T2^12 + 
      352*T1^8*T2^12 - 236*T1^9*T2^12 - 236*T1^10*T2^12 + 352*T1^11*T2^12 - 
      164*T1^12*T2^12 + 35*T1^13*T2^12 + T1^14*T2^12 - 7*T1^7*T2^13 + 
      35*T1^8*T2^13 - 103*T1^9*T2^13 + 153*T1^10*T2^13 - 103*T1^11*T2^13 + 
      35*T1^12*T2^13 - 7*T1^13*T2^13 + T1^9*T2^14 - T1^10*T2^14 - 
      T1^11*T2^14 + T1^12*T2^14)/(T1^7*T2^7))}, 
 Knot[12, Alternating, 1077] -> 
  {(3 - 16*T + 40*T^2 - 53*T^3 + 40*T^4 - 16*T^5 + 3*T^6)/T^3, 
   -((36 - 188*T1 + 464*T1^2 - 610*T1^3 + 464*T1^4 - 188*T1^5 + 36*T1^6 - 
      188*T2 + 796*T1*T2 - 1445*T1^2*T2 + 765*T1^3*T2 + 765*T1^4*T2 - 
      1445*T1^5*T2 + 796*T1^6*T2 - 188*T1^7*T2 + 464*T2^2 - 1445*T1*T2^2 + 
      1276*T1^2*T2^2 + 2540*T1^3*T2^2 - 4948*T1^4*T2^2 + 2540*T1^5*T2^2 + 
      1276*T1^6*T2^2 - 1445*T1^7*T2^2 + 464*T1^8*T2^2 - 610*T2^3 + 
      765*T1*T2^3 + 2540*T1^2*T2^3 - 9292*T1^3*T2^3 + 5474*T1^4*T2^3 + 
      5474*T1^5*T2^3 - 9292*T1^6*T2^3 + 2540*T1^7*T2^3 + 765*T1^8*T2^3 - 
      610*T1^9*T2^3 + 464*T2^4 + 765*T1*T2^4 - 4948*T1^2*T2^4 + 
      5474*T1^3*T2^4 + 13252*T1^4*T2^4 - 25218*T1^5*T2^4 + 13252*T1^6*T2^4 + 
      5474*T1^7*T2^4 - 4948*T1^8*T2^4 + 765*T1^9*T2^4 + 464*T1^10*T2^4 - 
      188*T2^5 - 1445*T1*T2^5 + 2540*T1^2*T2^5 + 5474*T1^3*T2^5 - 
      25218*T1^4*T2^5 + 15130*T1^5*T2^5 + 15130*T1^6*T2^5 - 25218*T1^7*T2^5 + 
      5474*T1^8*T2^5 + 2540*T1^9*T2^5 - 1445*T1^10*T2^5 - 188*T1^11*T2^5 + 
      36*T2^6 + 796*T1*T2^6 + 1276*T1^2*T2^6 - 9292*T1^3*T2^6 + 
      13252*T1^4*T2^6 + 15130*T1^5*T2^6 - 33852*T1^6*T2^6 + 15130*T1^7*T2^6 + 
      13252*T1^8*T2^6 - 9292*T1^9*T2^6 + 1276*T1^10*T2^6 + 796*T1^11*T2^6 + 
      36*T1^12*T2^6 - 188*T1*T2^7 - 1445*T1^2*T2^7 + 2540*T1^3*T2^7 + 
      5474*T1^4*T2^7 - 25218*T1^5*T2^7 + 15130*T1^6*T2^7 + 15130*T1^7*T2^7 - 
      25218*T1^8*T2^7 + 5474*T1^9*T2^7 + 2540*T1^10*T2^7 - 1445*T1^11*T2^7 - 
      188*T1^12*T2^7 + 464*T1^2*T2^8 + 765*T1^3*T2^8 - 4948*T1^4*T2^8 + 
      5474*T1^5*T2^8 + 13252*T1^6*T2^8 - 25218*T1^7*T2^8 + 13252*T1^8*T2^8 + 
      5474*T1^9*T2^8 - 4948*T1^10*T2^8 + 765*T1^11*T2^8 + 464*T1^12*T2^8 - 
      610*T1^3*T2^9 + 765*T1^4*T2^9 + 2540*T1^5*T2^9 - 9292*T1^6*T2^9 + 
      5474*T1^7*T2^9 + 5474*T1^8*T2^9 - 9292*T1^9*T2^9 + 2540*T1^10*T2^9 + 
      765*T1^11*T2^9 - 610*T1^12*T2^9 + 464*T1^4*T2^10 - 1445*T1^5*T2^10 + 
      1276*T1^6*T2^10 + 2540*T1^7*T2^10 - 4948*T1^8*T2^10 + 2540*T1^9*T2^10 + 
      1276*T1^10*T2^10 - 1445*T1^11*T2^10 + 464*T1^12*T2^10 - 
      188*T1^5*T2^11 + 796*T1^6*T2^11 - 1445*T1^7*T2^11 + 765*T1^8*T2^11 + 
      765*T1^9*T2^11 - 1445*T1^10*T2^11 + 796*T1^11*T2^11 - 188*T1^12*T2^11 + 
      36*T1^6*T2^12 - 188*T1^7*T2^12 + 464*T1^8*T2^12 - 610*T1^9*T2^12 + 
      464*T1^10*T2^12 - 188*T1^11*T2^12 + 36*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, (1 - 4*T1 + 10*T1^2 - 17*T1^3 + 21*T1^4 - 17*T1^5 + 10*T1^6 - 
     4*T1^7 + T1^8 - 4*T2 + 10*T1*T2 - 16*T1^2*T2 + 15*T1^3*T2 - 9*T1^4*T2 - 
     9*T1^5*T2 + 15*T1^6*T2 - 16*T1^7*T2 + 10*T1^8*T2 - 4*T1^9*T2 + 10*T2^2 - 
     16*T1*T2^2 + 35*T1^2*T2^2 - 90*T1^3*T2^2 + 203*T1^4*T2^2 - 
     243*T1^5*T2^2 + 203*T1^6*T2^2 - 90*T1^7*T2^2 + 35*T1^8*T2^2 - 
     16*T1^9*T2^2 + 10*T1^10*T2^2 - 17*T2^3 + 15*T1*T2^3 - 90*T1^2*T2^3 + 
     270*T1^3*T2^3 - 470*T1^4*T2^3 + 208*T1^5*T2^3 + 208*T1^6*T2^3 - 
     470*T1^7*T2^3 + 270*T1^8*T2^3 - 90*T1^9*T2^3 + 15*T1^10*T2^3 - 
     17*T1^11*T2^3 + 21*T2^4 - 9*T1*T2^4 + 203*T1^2*T2^4 - 470*T1^3*T2^4 + 
     540*T1^4*T2^4 + 292*T1^5*T2^4 - 604*T1^6*T2^4 + 292*T1^7*T2^4 + 
     540*T1^8*T2^4 - 470*T1^9*T2^4 + 203*T1^10*T2^4 - 9*T1^11*T2^4 + 
     21*T1^12*T2^4 - 17*T2^5 - 9*T1*T2^5 - 243*T1^2*T2^5 + 208*T1^3*T2^5 + 
     292*T1^4*T2^5 - 1532*T1^5*T2^5 + 606*T1^6*T2^5 + 606*T1^7*T2^5 - 
     1532*T1^8*T2^5 + 292*T1^9*T2^5 + 208*T1^10*T2^5 - 243*T1^11*T2^5 - 
     9*T1^12*T2^5 - 17*T1^13*T2^5 + 10*T2^6 + 15*T1*T2^6 + 203*T1^2*T2^6 + 
     208*T1^3*T2^6 - 604*T1^4*T2^6 + 606*T1^5*T2^6 + 2545*T1^6*T2^6 - 
     3281*T1^7*T2^6 + 2545*T1^8*T2^6 + 606*T1^9*T2^6 - 604*T1^10*T2^6 + 
     208*T1^11*T2^6 + 203*T1^12*T2^6 + 15*T1^13*T2^6 + 10*T1^14*T2^6 - 
     4*T2^7 - 16*T1*T2^7 - 90*T1^2*T2^7 - 470*T1^3*T2^7 + 292*T1^4*T2^7 + 
     606*T1^5*T2^7 - 3281*T1^6*T2^7 + 976*T1^7*T2^7 + 976*T1^8*T2^7 - 
     3281*T1^9*T2^7 + 606*T1^10*T2^7 + 292*T1^11*T2^7 - 470*T1^12*T2^7 - 
     90*T1^13*T2^7 - 16*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 10*T1*T2^8 + 
     35*T1^2*T2^8 + 270*T1^3*T2^8 + 540*T1^4*T2^8 - 1532*T1^5*T2^8 + 
     2545*T1^6*T2^8 + 976*T1^7*T2^8 - 1164*T1^8*T2^8 + 976*T1^9*T2^8 + 
     2545*T1^10*T2^8 - 1532*T1^11*T2^8 + 540*T1^12*T2^8 + 270*T1^13*T2^8 + 
     35*T1^14*T2^8 + 10*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 16*T1^2*T2^9 - 
     90*T1^3*T2^9 - 470*T1^4*T2^9 + 292*T1^5*T2^9 + 606*T1^6*T2^9 - 
     3281*T1^7*T2^9 + 976*T1^8*T2^9 + 976*T1^9*T2^9 - 3281*T1^10*T2^9 + 
     606*T1^11*T2^9 + 292*T1^12*T2^9 - 470*T1^13*T2^9 - 90*T1^14*T2^9 - 
     16*T1^15*T2^9 - 4*T1^16*T2^9 + 10*T1^2*T2^10 + 15*T1^3*T2^10 + 
     203*T1^4*T2^10 + 208*T1^5*T2^10 - 604*T1^6*T2^10 + 606*T1^7*T2^10 + 
     2545*T1^8*T2^10 - 3281*T1^9*T2^10 + 2545*T1^10*T2^10 + 606*T1^11*T2^10 - 
     604*T1^12*T2^10 + 208*T1^13*T2^10 + 203*T1^14*T2^10 + 15*T1^15*T2^10 + 
     10*T1^16*T2^10 - 17*T1^3*T2^11 - 9*T1^4*T2^11 - 243*T1^5*T2^11 + 
     208*T1^6*T2^11 + 292*T1^7*T2^11 - 1532*T1^8*T2^11 + 606*T1^9*T2^11 + 
     606*T1^10*T2^11 - 1532*T1^11*T2^11 + 292*T1^12*T2^11 + 208*T1^13*T2^11 - 
     243*T1^14*T2^11 - 9*T1^15*T2^11 - 17*T1^16*T2^11 + 21*T1^4*T2^12 - 
     9*T1^5*T2^12 + 203*T1^6*T2^12 - 470*T1^7*T2^12 + 540*T1^8*T2^12 + 
     292*T1^9*T2^12 - 604*T1^10*T2^12 + 292*T1^11*T2^12 + 540*T1^12*T2^12 - 
     470*T1^13*T2^12 + 203*T1^14*T2^12 - 9*T1^15*T2^12 + 21*T1^16*T2^12 - 
     17*T1^5*T2^13 + 15*T1^6*T2^13 - 90*T1^7*T2^13 + 270*T1^8*T2^13 - 
     470*T1^9*T2^13 + 208*T1^10*T2^13 + 208*T1^11*T2^13 - 470*T1^12*T2^13 + 
     270*T1^13*T2^13 - 90*T1^14*T2^13 + 15*T1^15*T2^13 - 17*T1^16*T2^13 + 
     10*T1^6*T2^14 - 16*T1^7*T2^14 + 35*T1^8*T2^14 - 90*T1^9*T2^14 + 
     203*T1^10*T2^14 - 243*T1^11*T2^14 + 203*T1^12*T2^14 - 90*T1^13*T2^14 + 
     35*T1^14*T2^14 - 16*T1^15*T2^14 + 10*T1^16*T2^14 - 4*T1^7*T2^15 + 
     10*T1^8*T2^15 - 16*T1^9*T2^15 + 15*T1^10*T2^15 - 9*T1^11*T2^15 - 
     9*T1^12*T2^15 + 15*T1^13*T2^15 - 16*T1^14*T2^15 + 10*T1^15*T2^15 - 
     4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 10*T1^10*T2^16 - 
     17*T1^11*T2^16 + 21*T1^12*T2^16 - 17*T1^13*T2^16 + 10*T1^14*T2^16 - 
     4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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), -((9 - 48*T1 + 133*T1^2 - 239*T1^3 + 285*T1^4 - 239*T1^5 + 
      133*T1^6 - 48*T1^7 + 9*T1^8 - 48*T2 + 208*T1*T2 - 451*T1^2*T2 + 
      560*T1^3*T2 - 243*T1^4*T2 - 243*T1^5*T2 + 560*T1^6*T2 - 451*T1^7*T2 + 
      208*T1^8*T2 - 48*T1^9*T2 + 133*T2^2 - 451*T1*T2^2 + 708*T1^2*T2^2 - 
      389*T1^3*T2^2 - 745*T1^4*T2^2 + 1210*T1^5*T2^2 - 745*T1^6*T2^2 - 
      389*T1^7*T2^2 + 708*T1^8*T2^2 - 451*T1^9*T2^2 + 133*T1^10*T2^2 - 
      239*T2^3 + 560*T1*T2^3 - 389*T1^2*T2^3 - 786*T1^3*T2^3 + 
      2378*T1^4*T2^3 - 1028*T1^5*T2^3 - 1028*T1^6*T2^3 + 2378*T1^7*T2^3 - 
      786*T1^8*T2^3 - 389*T1^9*T2^3 + 560*T1^10*T2^3 - 239*T1^11*T2^3 + 
      285*T2^4 - 243*T1*T2^4 - 745*T1^2*T2^4 + 2378*T1^3*T2^4 - 
      2548*T1^4*T2^4 - 2524*T1^5*T2^4 + 4214*T1^6*T2^4 - 2524*T1^7*T2^4 - 
      2548*T1^8*T2^4 + 2378*T1^9*T2^4 - 745*T1^10*T2^4 - 243*T1^11*T2^4 + 
      285*T1^12*T2^4 - 239*T2^5 - 243*T1*T2^5 + 1210*T1^2*T2^5 - 
      1028*T1^3*T2^5 - 2524*T1^4*T2^5 + 9196*T1^5*T2^5 - 3796*T1^6*T2^5 - 
      3796*T1^7*T2^5 + 9196*T1^8*T2^5 - 2524*T1^9*T2^5 - 1028*T1^10*T2^5 + 
      1210*T1^11*T2^5 - 243*T1^12*T2^5 - 239*T1^13*T2^5 + 133*T2^6 + 
      560*T1*T2^6 - 745*T1^2*T2^6 - 1028*T1^3*T2^6 + 4214*T1^4*T2^6 - 
      3796*T1^5*T2^6 - 12153*T1^6*T2^6 + 17425*T1^7*T2^6 - 12153*T1^8*T2^6 - 
      3796*T1^9*T2^6 + 4214*T1^10*T2^6 - 1028*T1^11*T2^6 - 745*T1^12*T2^6 + 
      560*T1^13*T2^6 + 133*T1^14*T2^6 - 48*T2^7 - 451*T1*T2^7 - 
      389*T1^2*T2^7 + 2378*T1^3*T2^7 - 2524*T1^4*T2^7 - 3796*T1^5*T2^7 + 
      17425*T1^6*T2^7 - 7238*T1^7*T2^7 - 7238*T1^8*T2^7 + 17425*T1^9*T2^7 - 
      3796*T1^10*T2^7 - 2524*T1^11*T2^7 + 2378*T1^12*T2^7 - 389*T1^13*T2^7 - 
      451*T1^14*T2^7 - 48*T1^15*T2^7 + 9*T2^8 + 208*T1*T2^8 + 708*T1^2*T2^8 - 
      786*T1^3*T2^8 - 2548*T1^4*T2^8 + 9196*T1^5*T2^8 - 12153*T1^6*T2^8 - 
      7238*T1^7*T2^8 + 13524*T1^8*T2^8 - 7238*T1^9*T2^8 - 12153*T1^10*T2^8 + 
      9196*T1^11*T2^8 - 2548*T1^12*T2^8 - 786*T1^13*T2^8 + 708*T1^14*T2^8 + 
      208*T1^15*T2^8 + 9*T1^16*T2^8 - 48*T1*T2^9 - 451*T1^2*T2^9 - 
      389*T1^3*T2^9 + 2378*T1^4*T2^9 - 2524*T1^5*T2^9 - 3796*T1^6*T2^9 + 
      17425*T1^7*T2^9 - 7238*T1^8*T2^9 - 7238*T1^9*T2^9 + 17425*T1^10*T2^9 - 
      3796*T1^11*T2^9 - 2524*T1^12*T2^9 + 2378*T1^13*T2^9 - 389*T1^14*T2^9 - 
      451*T1^15*T2^9 - 48*T1^16*T2^9 + 133*T1^2*T2^10 + 560*T1^3*T2^10 - 
      745*T1^4*T2^10 - 1028*T1^5*T2^10 + 4214*T1^6*T2^10 - 3796*T1^7*T2^10 - 
      12153*T1^8*T2^10 + 17425*T1^9*T2^10 - 12153*T1^10*T2^10 - 
      3796*T1^11*T2^10 + 4214*T1^12*T2^10 - 1028*T1^13*T2^10 - 
      745*T1^14*T2^10 + 560*T1^15*T2^10 + 133*T1^16*T2^10 - 239*T1^3*T2^11 - 
      243*T1^4*T2^11 + 1210*T1^5*T2^11 - 1028*T1^6*T2^11 - 2524*T1^7*T2^11 + 
      9196*T1^8*T2^11 - 3796*T1^9*T2^11 - 3796*T1^10*T2^11 + 
      9196*T1^11*T2^11 - 2524*T1^12*T2^11 - 1028*T1^13*T2^11 + 
      1210*T1^14*T2^11 - 243*T1^15*T2^11 - 239*T1^16*T2^11 + 285*T1^4*T2^12 - 
      243*T1^5*T2^12 - 745*T1^6*T2^12 + 2378*T1^7*T2^12 - 2548*T1^8*T2^12 - 
      2524*T1^9*T2^12 + 4214*T1^10*T2^12 - 2524*T1^11*T2^12 - 
      2548*T1^12*T2^12 + 2378*T1^13*T2^12 - 745*T1^14*T2^12 - 
      243*T1^15*T2^12 + 285*T1^16*T2^12 - 239*T1^5*T2^13 + 560*T1^6*T2^13 - 
      389*T1^7*T2^13 - 786*T1^8*T2^13 + 2378*T1^9*T2^13 - 1028*T1^10*T2^13 - 
      1028*T1^11*T2^13 + 2378*T1^12*T2^13 - 786*T1^13*T2^13 - 
      389*T1^14*T2^13 + 560*T1^15*T2^13 - 239*T1^16*T2^13 + 133*T1^6*T2^14 - 
      451*T1^7*T2^14 + 708*T1^8*T2^14 - 389*T1^9*T2^14 - 745*T1^10*T2^14 + 
      1210*T1^11*T2^14 - 745*T1^12*T2^14 - 389*T1^13*T2^14 + 
      708*T1^14*T2^14 - 451*T1^15*T2^14 + 133*T1^16*T2^14 - 48*T1^7*T2^15 + 
      208*T1^8*T2^15 - 451*T1^9*T2^15 + 560*T1^10*T2^15 - 243*T1^11*T2^15 - 
      243*T1^12*T2^15 + 560*T1^13*T2^15 - 451*T1^14*T2^15 + 208*T1^15*T2^15 - 
      48*T1^16*T2^15 + 9*T1^8*T2^16 - 48*T1^9*T2^16 + 133*T1^10*T2^16 - 
      239*T1^11*T2^16 + 285*T1^12*T2^16 - 239*T1^13*T2^16 + 133*T1^14*T2^16 - 
      48*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   (2 - 16*T1 + 48*T1^2 - 84*T1^3 + 102*T1^4 - 84*T1^5 + 48*T1^6 - 16*T1^7 + 
     2*T1^8 - 16*T2 + 112*T1*T2 - 255*T1^2*T2 + 286*T1^3*T2 - 143*T1^4*T2 - 
     143*T1^5*T2 + 286*T1^6*T2 - 255*T1^7*T2 + 112*T1^8*T2 - 16*T1^9*T2 + 
     48*T2^2 - 255*T1*T2^2 + 182*T1^2*T2^2 + 623*T1^3*T2^2 - 1668*T1^4*T2^2 + 
     2354*T1^5*T2^2 - 1668*T1^6*T2^2 + 623*T1^7*T2^2 + 182*T1^8*T2^2 - 
     255*T1^9*T2^2 + 48*T1^10*T2^2 - 84*T2^3 + 286*T1*T2^3 + 623*T1^2*T2^3 - 
     2522*T1^3*T2^3 + 3100*T1^4*T2^3 - 1817*T1^5*T2^3 - 1817*T1^6*T2^3 + 
     3100*T1^7*T2^3 - 2522*T1^8*T2^3 + 623*T1^9*T2^3 + 286*T1^10*T2^3 - 
     84*T1^11*T2^3 + 102*T2^4 - 143*T1*T2^4 - 1668*T1^2*T2^4 + 
     3100*T1^3*T2^4 - 597*T1^4*T2^4 - 3251*T1^5*T2^4 + 7083*T1^6*T2^4 - 
     3251*T1^7*T2^4 - 597*T1^8*T2^4 + 3100*T1^9*T2^4 - 1668*T1^10*T2^4 - 
     143*T1^11*T2^4 + 102*T1^12*T2^4 - 84*T2^5 - 143*T1*T2^5 + 
     2354*T1^2*T2^5 - 1817*T1^3*T2^5 - 3251*T1^4*T2^5 + 5528*T1^5*T2^5 - 
     4708*T1^6*T2^5 - 4708*T1^7*T2^5 + 5528*T1^8*T2^5 - 3251*T1^9*T2^5 - 
     1817*T1^10*T2^5 + 2354*T1^11*T2^5 - 143*T1^12*T2^5 - 84*T1^13*T2^5 + 
     48*T2^6 + 286*T1*T2^6 - 1668*T1^2*T2^6 - 1817*T1^3*T2^6 + 
     7083*T1^4*T2^6 - 4708*T1^5*T2^6 + 9*T1^6*T2^6 + 8117*T1^7*T2^6 + 
     9*T1^8*T2^6 - 4708*T1^9*T2^6 + 7083*T1^10*T2^6 - 1817*T1^11*T2^6 - 
     1668*T1^12*T2^6 + 286*T1^13*T2^6 + 48*T1^14*T2^6 - 16*T2^7 - 
     255*T1*T2^7 + 623*T1^2*T2^7 + 3100*T1^3*T2^7 - 3251*T1^4*T2^7 - 
     4708*T1^5*T2^7 + 8117*T1^6*T2^7 - 7826*T1^7*T2^7 - 7826*T1^8*T2^7 + 
     8117*T1^9*T2^7 - 4708*T1^10*T2^7 - 3251*T1^11*T2^7 + 3100*T1^12*T2^7 + 
     623*T1^13*T2^7 - 255*T1^14*T2^7 - 16*T1^15*T2^7 + 2*T2^8 + 112*T1*T2^8 + 
     182*T1^2*T2^8 - 2522*T1^3*T2^8 - 597*T1^4*T2^8 + 5528*T1^5*T2^8 + 
     9*T1^6*T2^8 - 7826*T1^7*T2^8 + 19356*T1^8*T2^8 - 7826*T1^9*T2^8 + 
     9*T1^10*T2^8 + 5528*T1^11*T2^8 - 597*T1^12*T2^8 - 2522*T1^13*T2^8 + 
     182*T1^14*T2^8 + 112*T1^15*T2^8 + 2*T1^16*T2^8 - 16*T1*T2^9 - 
     255*T1^2*T2^9 + 623*T1^3*T2^9 + 3100*T1^4*T2^9 - 3251*T1^5*T2^9 - 
     4708*T1^6*T2^9 + 8117*T1^7*T2^9 - 7826*T1^8*T2^9 - 7826*T1^9*T2^9 + 
     8117*T1^10*T2^9 - 4708*T1^11*T2^9 - 3251*T1^12*T2^9 + 3100*T1^13*T2^9 + 
     623*T1^14*T2^9 - 255*T1^15*T2^9 - 16*T1^16*T2^9 + 48*T1^2*T2^10 + 
     286*T1^3*T2^10 - 1668*T1^4*T2^10 - 1817*T1^5*T2^10 + 7083*T1^6*T2^10 - 
     4708*T1^7*T2^10 + 9*T1^8*T2^10 + 8117*T1^9*T2^10 + 9*T1^10*T2^10 - 
     4708*T1^11*T2^10 + 7083*T1^12*T2^10 - 1817*T1^13*T2^10 - 
     1668*T1^14*T2^10 + 286*T1^15*T2^10 + 48*T1^16*T2^10 - 84*T1^3*T2^11 - 
     143*T1^4*T2^11 + 2354*T1^5*T2^11 - 1817*T1^6*T2^11 - 3251*T1^7*T2^11 + 
     5528*T1^8*T2^11 - 4708*T1^9*T2^11 - 4708*T1^10*T2^11 + 
     5528*T1^11*T2^11 - 3251*T1^12*T2^11 - 1817*T1^13*T2^11 + 
     2354*T1^14*T2^11 - 143*T1^15*T2^11 - 84*T1^16*T2^11 + 102*T1^4*T2^12 - 
     143*T1^5*T2^12 - 1668*T1^6*T2^12 + 3100*T1^7*T2^12 - 597*T1^8*T2^12 - 
     3251*T1^9*T2^12 + 7083*T1^10*T2^12 - 3251*T1^11*T2^12 - 
     597*T1^12*T2^12 + 3100*T1^13*T2^12 - 1668*T1^14*T2^12 - 
     143*T1^15*T2^12 + 102*T1^16*T2^12 - 84*T1^5*T2^13 + 286*T1^6*T2^13 + 
     623*T1^7*T2^13 - 2522*T1^8*T2^13 + 3100*T1^9*T2^13 - 1817*T1^10*T2^13 - 
     1817*T1^11*T2^13 + 3100*T1^12*T2^13 - 2522*T1^13*T2^13 + 
     623*T1^14*T2^13 + 286*T1^15*T2^13 - 84*T1^16*T2^13 + 48*T1^6*T2^14 - 
     255*T1^7*T2^14 + 182*T1^8*T2^14 + 623*T1^9*T2^14 - 1668*T1^10*T2^14 + 
     2354*T1^11*T2^14 - 1668*T1^12*T2^14 + 623*T1^13*T2^14 + 
     182*T1^14*T2^14 - 255*T1^15*T2^14 + 48*T1^16*T2^14 - 16*T1^7*T2^15 + 
     112*T1^8*T2^15 - 255*T1^9*T2^15 + 286*T1^10*T2^15 - 143*T1^11*T2^15 - 
     143*T1^12*T2^15 + 286*T1^13*T2^15 - 255*T1^14*T2^15 + 112*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)/(T1^8*T2^8)}, 
 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, 
   -((T1^2 - T1^3 - T1^4 + T1^5 - T1*T2 - 4*T1^2*T2 - T1^3*T2 + 11*T1^4*T2 - 
      T1^5*T2 - 4*T1^6*T2 - T1^7*T2 + T2^2 - 4*T1*T2^2 + 40*T1^2*T2^2 - 
      29*T1^3*T2^2 - 4*T1^4*T2^2 - 4*T1^5*T2^2 - 29*T1^6*T2^2 + 
      40*T1^7*T2^2 - 4*T1^8*T2^2 + T1^9*T2^2 - T2^3 - T1*T2^3 - 
      29*T1^2*T2^3 - 185*T1^3*T2^3 + 452*T1^4*T2^3 - 495*T1^5*T2^3 + 
      452*T1^6*T2^3 - 185*T1^7*T2^3 - 29*T1^8*T2^3 - T1^9*T2^3 - T1^10*T2^3 - 
      T2^4 + 11*T1*T2^4 - 4*T1^2*T2^4 + 452*T1^3*T2^4 - 642*T1^4*T2^4 + 
      199*T1^5*T2^4 + 199*T1^6*T2^4 - 642*T1^7*T2^4 + 452*T1^8*T2^4 - 
      4*T1^9*T2^4 + 11*T1^10*T2^4 - T1^11*T2^4 + T2^5 - T1*T2^5 - 
      4*T1^2*T2^5 - 495*T1^3*T2^5 + 199*T1^4*T2^5 + 641*T1^5*T2^5 - 
      689*T1^6*T2^5 + 641*T1^7*T2^5 + 199*T1^8*T2^5 - 495*T1^9*T2^5 - 
      4*T1^10*T2^5 - T1^11*T2^5 + T1^12*T2^5 - 4*T1*T2^6 - 29*T1^2*T2^6 + 
      452*T1^3*T2^6 + 199*T1^4*T2^6 - 689*T1^5*T2^6 + 52*T1^6*T2^6 + 
      52*T1^7*T2^6 - 689*T1^8*T2^6 + 199*T1^9*T2^6 + 452*T1^10*T2^6 - 
      29*T1^11*T2^6 - 4*T1^12*T2^6 - T1*T2^7 + 40*T1^2*T2^7 - 185*T1^3*T2^7 - 
      642*T1^4*T2^7 + 641*T1^5*T2^7 + 52*T1^6*T2^7 + 252*T1^7*T2^7 + 
      52*T1^8*T2^7 + 641*T1^9*T2^7 - 642*T1^10*T2^7 - 185*T1^11*T2^7 + 
      40*T1^12*T2^7 - T1^13*T2^7 - 4*T1^2*T2^8 - 29*T1^3*T2^8 + 
      452*T1^4*T2^8 + 199*T1^5*T2^8 - 689*T1^6*T2^8 + 52*T1^7*T2^8 + 
      52*T1^8*T2^8 - 689*T1^9*T2^8 + 199*T1^10*T2^8 + 452*T1^11*T2^8 - 
      29*T1^12*T2^8 - 4*T1^13*T2^8 + T1^2*T2^9 - T1^3*T2^9 - 4*T1^4*T2^9 - 
      495*T1^5*T2^9 + 199*T1^6*T2^9 + 641*T1^7*T2^9 - 689*T1^8*T2^9 + 
      641*T1^9*T2^9 + 199*T1^10*T2^9 - 495*T1^11*T2^9 - 4*T1^12*T2^9 - 
      T1^13*T2^9 + T1^14*T2^9 - T1^3*T2^10 + 11*T1^4*T2^10 - 4*T1^5*T2^10 + 
      452*T1^6*T2^10 - 642*T1^7*T2^10 + 199*T1^8*T2^10 + 199*T1^9*T2^10 - 
      642*T1^10*T2^10 + 452*T1^11*T2^10 - 4*T1^12*T2^10 + 11*T1^13*T2^10 - 
      T1^14*T2^10 - T1^4*T2^11 - T1^5*T2^11 - 29*T1^6*T2^11 - 
      185*T1^7*T2^11 + 452*T1^8*T2^11 - 495*T1^9*T2^11 + 452*T1^10*T2^11 - 
      185*T1^11*T2^11 - 29*T1^12*T2^11 - T1^13*T2^11 - T1^14*T2^11 + 
      T1^5*T2^12 - 4*T1^6*T2^12 + 40*T1^7*T2^12 - 29*T1^8*T2^12 - 
      4*T1^9*T2^12 - 4*T1^10*T2^12 - 29*T1^11*T2^12 + 40*T1^12*T2^12 - 
      4*T1^13*T2^12 + T1^14*T2^12 - T1^7*T2^13 - 4*T1^8*T2^13 - T1^9*T2^13 + 
      11*T1^10*T2^13 - T1^11*T2^13 - 4*T1^12*T2^13 - T1^13*T2^13 + 
      T1^9*T2^14 - T1^10*T2^14 - T1^11*T2^14 + T1^12*T2^14)/(T1^7*T2^7))}, 
 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, 
   (2 - 16*T1 + 46*T1^2 - 76*T1^3 + 90*T1^4 - 76*T1^5 + 46*T1^6 - 16*T1^7 + 
     2*T1^8 - 16*T2 + 112*T1*T2 - 239*T1^2*T2 + 238*T1^3*T2 - 111*T1^4*T2 - 
     111*T1^5*T2 + 238*T1^6*T2 - 239*T1^7*T2 + 112*T1^8*T2 - 16*T1^9*T2 + 
     46*T2^2 - 239*T1*T2^2 + 87*T1^2*T2^2 + 781*T1^3*T2^2 - 1642*T1^4*T2^2 + 
     2145*T1^5*T2^2 - 1642*T1^6*T2^2 + 781*T1^7*T2^2 + 87*T1^8*T2^2 - 
     239*T1^9*T2^2 + 46*T1^10*T2^2 - 76*T2^3 + 238*T1*T2^3 + 781*T1^2*T2^3 - 
     2570*T1^3*T2^3 + 2600*T1^4*T2^3 - 1370*T1^5*T2^3 - 1370*T1^6*T2^3 + 
     2600*T1^7*T2^3 - 2570*T1^8*T2^3 + 781*T1^9*T2^3 + 238*T1^10*T2^3 - 
     76*T1^11*T2^3 + 90*T2^4 - 111*T1*T2^4 - 1642*T1^2*T2^4 + 
     2600*T1^3*T2^4 + 498*T1^4*T2^4 - 3371*T1^5*T2^4 + 5880*T1^6*T2^4 - 
     3371*T1^7*T2^4 + 498*T1^8*T2^4 + 2600*T1^9*T2^4 - 1642*T1^10*T2^4 - 
     111*T1^11*T2^4 + 90*T1^12*T2^4 - 76*T2^5 - 111*T1*T2^5 + 
     2145*T1^2*T2^5 - 1370*T1^3*T2^5 - 3371*T1^4*T2^5 + 3802*T1^5*T2^5 - 
     2917*T1^6*T2^5 - 2917*T1^7*T2^5 + 3802*T1^8*T2^5 - 3371*T1^9*T2^5 - 
     1370*T1^10*T2^5 + 2145*T1^11*T2^5 - 111*T1^12*T2^5 - 76*T1^13*T2^5 + 
     46*T2^6 + 238*T1*T2^6 - 1642*T1^2*T2^6 - 1370*T1^3*T2^6 + 
     5880*T1^4*T2^6 - 2917*T1^5*T2^6 + 1079*T1^6*T2^6 + 3107*T1^7*T2^6 + 
     1079*T1^8*T2^6 - 2917*T1^9*T2^6 + 5880*T1^10*T2^6 - 1370*T1^11*T2^6 - 
     1642*T1^12*T2^6 + 238*T1^13*T2^6 + 46*T1^14*T2^6 - 16*T2^7 - 
     239*T1*T2^7 + 781*T1^2*T2^7 + 2600*T1^3*T2^7 - 3371*T1^4*T2^7 - 
     2917*T1^5*T2^7 + 3107*T1^6*T2^7 - 3554*T1^7*T2^7 - 3554*T1^8*T2^7 + 
     3107*T1^9*T2^7 - 2917*T1^10*T2^7 - 3371*T1^11*T2^7 + 2600*T1^12*T2^7 + 
     781*T1^13*T2^7 - 239*T1^14*T2^7 - 16*T1^15*T2^7 + 2*T2^8 + 112*T1*T2^8 + 
     87*T1^2*T2^8 - 2570*T1^3*T2^8 + 498*T1^4*T2^8 + 3802*T1^5*T2^8 + 
     1079*T1^6*T2^8 - 3554*T1^7*T2^8 + 8856*T1^8*T2^8 - 3554*T1^9*T2^8 + 
     1079*T1^10*T2^8 + 3802*T1^11*T2^8 + 498*T1^12*T2^8 - 2570*T1^13*T2^8 + 
     87*T1^14*T2^8 + 112*T1^15*T2^8 + 2*T1^16*T2^8 - 16*T1*T2^9 - 
     239*T1^2*T2^9 + 781*T1^3*T2^9 + 2600*T1^4*T2^9 - 3371*T1^5*T2^9 - 
     2917*T1^6*T2^9 + 3107*T1^7*T2^9 - 3554*T1^8*T2^9 - 3554*T1^9*T2^9 + 
     3107*T1^10*T2^9 - 2917*T1^11*T2^9 - 3371*T1^12*T2^9 + 2600*T1^13*T2^9 + 
     781*T1^14*T2^9 - 239*T1^15*T2^9 - 16*T1^16*T2^9 + 46*T1^2*T2^10 + 
     238*T1^3*T2^10 - 1642*T1^4*T2^10 - 1370*T1^5*T2^10 + 5880*T1^6*T2^10 - 
     2917*T1^7*T2^10 + 1079*T1^8*T2^10 + 3107*T1^9*T2^10 + 1079*T1^10*T2^10 - 
     2917*T1^11*T2^10 + 5880*T1^12*T2^10 - 1370*T1^13*T2^10 - 
     1642*T1^14*T2^10 + 238*T1^15*T2^10 + 46*T1^16*T2^10 - 76*T1^3*T2^11 - 
     111*T1^4*T2^11 + 2145*T1^5*T2^11 - 1370*T1^6*T2^11 - 3371*T1^7*T2^11 + 
     3802*T1^8*T2^11 - 2917*T1^9*T2^11 - 2917*T1^10*T2^11 + 
     3802*T1^11*T2^11 - 3371*T1^12*T2^11 - 1370*T1^13*T2^11 + 
     2145*T1^14*T2^11 - 111*T1^15*T2^11 - 76*T1^16*T2^11 + 90*T1^4*T2^12 - 
     111*T1^5*T2^12 - 1642*T1^6*T2^12 + 2600*T1^7*T2^12 + 498*T1^8*T2^12 - 
     3371*T1^9*T2^12 + 5880*T1^10*T2^12 - 3371*T1^11*T2^12 + 
     498*T1^12*T2^12 + 2600*T1^13*T2^12 - 1642*T1^14*T2^12 - 
     111*T1^15*T2^12 + 90*T1^16*T2^12 - 76*T1^5*T2^13 + 238*T1^6*T2^13 + 
     781*T1^7*T2^13 - 2570*T1^8*T2^13 + 2600*T1^9*T2^13 - 1370*T1^10*T2^13 - 
     1370*T1^11*T2^13 + 2600*T1^12*T2^13 - 2570*T1^13*T2^13 + 
     781*T1^14*T2^13 + 238*T1^15*T2^13 - 76*T1^16*T2^13 + 46*T1^6*T2^14 - 
     239*T1^7*T2^14 + 87*T1^8*T2^14 + 781*T1^9*T2^14 - 1642*T1^10*T2^14 + 
     2145*T1^11*T2^14 - 1642*T1^12*T2^14 + 781*T1^13*T2^14 + 87*T1^14*T2^14 - 
     239*T1^15*T2^14 + 46*T1^16*T2^14 - 16*T1^7*T2^15 + 112*T1^8*T2^15 - 
     239*T1^9*T2^15 + 238*T1^10*T2^15 - 111*T1^11*T2^15 - 111*T1^12*T2^15 + 
     238*T1^13*T2^15 - 239*T1^14*T2^15 + 112*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)/(T1^8*T2^8)}, 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, 
   (1 - 4*T1 + 9*T1^2 - 14*T1^3 + 17*T1^4 - 14*T1^5 + 9*T1^6 - 4*T1^7 + 
     T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 20*T1^3*T2 - 12*T1^4*T2 - 
     12*T1^5*T2 + 20*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 9*T2^2 - 
     20*T1*T2^2 + 32*T1^2*T2^2 - 37*T1^3*T2^2 + 53*T1^4*T2^2 - 34*T1^5*T2^2 + 
     53*T1^6*T2^2 - 37*T1^7*T2^2 + 32*T1^8*T2^2 - 20*T1^9*T2^2 + 
     9*T1^10*T2^2 - 14*T2^3 + 20*T1*T2^3 - 37*T1^2*T2^3 + 44*T1^3*T2^3 - 
     84*T1^4*T2^3 + T1^5*T2^3 + T1^6*T2^3 - 84*T1^7*T2^3 + 44*T1^8*T2^3 - 
     37*T1^9*T2^3 + 20*T1^10*T2^3 - 14*T1^11*T2^3 + 17*T2^4 - 12*T1*T2^4 + 
     53*T1^2*T2^4 - 84*T1^3*T2^4 + 185*T1^4*T2^4 - 27*T1^5*T2^4 + 
     107*T1^6*T2^4 - 27*T1^7*T2^4 + 185*T1^8*T2^4 - 84*T1^9*T2^4 + 
     53*T1^10*T2^4 - 12*T1^11*T2^4 + 17*T1^12*T2^4 - 14*T2^5 - 12*T1*T2^5 - 
     34*T1^2*T2^5 + T1^3*T2^5 - 27*T1^4*T2^5 - 294*T1^5*T2^5 - 9*T1^6*T2^5 - 
     9*T1^7*T2^5 - 294*T1^8*T2^5 - 27*T1^9*T2^5 + T1^10*T2^5 - 
     34*T1^11*T2^5 - 12*T1^12*T2^5 - 14*T1^13*T2^5 + 9*T2^6 + 20*T1*T2^6 + 
     53*T1^2*T2^6 + T1^3*T2^6 + 107*T1^4*T2^6 - 9*T1^5*T2^6 + 818*T1^6*T2^6 - 
     690*T1^7*T2^6 + 818*T1^8*T2^6 - 9*T1^9*T2^6 + 107*T1^10*T2^6 + 
     T1^11*T2^6 + 53*T1^12*T2^6 + 20*T1^13*T2^6 + 9*T1^14*T2^6 - 4*T2^7 - 
     20*T1*T2^7 - 37*T1^2*T2^7 - 84*T1^3*T2^7 - 27*T1^4*T2^7 - 9*T1^5*T2^7 - 
     690*T1^6*T2^7 - 18*T1^7*T2^7 - 18*T1^8*T2^7 - 690*T1^9*T2^7 - 
     9*T1^10*T2^7 - 27*T1^11*T2^7 - 84*T1^12*T2^7 - 37*T1^13*T2^7 - 
     20*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 32*T1^2*T2^8 + 
     44*T1^3*T2^8 + 185*T1^4*T2^8 - 294*T1^5*T2^8 + 818*T1^6*T2^8 - 
     18*T1^7*T2^8 + 408*T1^8*T2^8 - 18*T1^9*T2^8 + 818*T1^10*T2^8 - 
     294*T1^11*T2^8 + 185*T1^12*T2^8 + 44*T1^13*T2^8 + 32*T1^14*T2^8 + 
     12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 20*T1^2*T2^9 - 37*T1^3*T2^9 - 
     84*T1^4*T2^9 - 27*T1^5*T2^9 - 9*T1^6*T2^9 - 690*T1^7*T2^9 - 
     18*T1^8*T2^9 - 18*T1^9*T2^9 - 690*T1^10*T2^9 - 9*T1^11*T2^9 - 
     27*T1^12*T2^9 - 84*T1^13*T2^9 - 37*T1^14*T2^9 - 20*T1^15*T2^9 - 
     4*T1^16*T2^9 + 9*T1^2*T2^10 + 20*T1^3*T2^10 + 53*T1^4*T2^10 + 
     T1^5*T2^10 + 107*T1^6*T2^10 - 9*T1^7*T2^10 + 818*T1^8*T2^10 - 
     690*T1^9*T2^10 + 818*T1^10*T2^10 - 9*T1^11*T2^10 + 107*T1^12*T2^10 + 
     T1^13*T2^10 + 53*T1^14*T2^10 + 20*T1^15*T2^10 + 9*T1^16*T2^10 - 
     14*T1^3*T2^11 - 12*T1^4*T2^11 - 34*T1^5*T2^11 + T1^6*T2^11 - 
     27*T1^7*T2^11 - 294*T1^8*T2^11 - 9*T1^9*T2^11 - 9*T1^10*T2^11 - 
     294*T1^11*T2^11 - 27*T1^12*T2^11 + T1^13*T2^11 - 34*T1^14*T2^11 - 
     12*T1^15*T2^11 - 14*T1^16*T2^11 + 17*T1^4*T2^12 - 12*T1^5*T2^12 + 
     53*T1^6*T2^12 - 84*T1^7*T2^12 + 185*T1^8*T2^12 - 27*T1^9*T2^12 + 
     107*T1^10*T2^12 - 27*T1^11*T2^12 + 185*T1^12*T2^12 - 84*T1^13*T2^12 + 
     53*T1^14*T2^12 - 12*T1^15*T2^12 + 17*T1^16*T2^12 - 14*T1^5*T2^13 + 
     20*T1^6*T2^13 - 37*T1^7*T2^13 + 44*T1^8*T2^13 - 84*T1^9*T2^13 + 
     T1^10*T2^13 + T1^11*T2^13 - 84*T1^12*T2^13 + 44*T1^13*T2^13 - 
     37*T1^14*T2^13 + 20*T1^15*T2^13 - 14*T1^16*T2^13 + 9*T1^6*T2^14 - 
     20*T1^7*T2^14 + 32*T1^8*T2^14 - 37*T1^9*T2^14 + 53*T1^10*T2^14 - 
     34*T1^11*T2^14 + 53*T1^12*T2^14 - 37*T1^13*T2^14 + 32*T1^14*T2^14 - 
     20*T1^15*T2^14 + 9*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 
     20*T1^9*T2^15 + 20*T1^10*T2^15 - 12*T1^11*T2^15 - 12*T1^12*T2^15 + 
     20*T1^13*T2^15 - 20*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + 
     T1^8*T2^16 - 4*T1^9*T2^16 + 9*T1^10*T2^16 - 14*T1^11*T2^16 + 
     17*T1^12*T2^16 - 14*T1^13*T2^16 + 9*T1^14*T2^16 - 4*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, 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, 
   (2 - 16*T1 + 40*T1^2 - 56*T1^3 + 62*T1^4 - 56*T1^5 + 40*T1^6 - 16*T1^7 + 
     2*T1^8 - 16*T2 + 112*T1*T2 - 191*T1^2*T2 + 126*T1^3*T2 - 47*T1^4*T2 - 
     47*T1^5*T2 + 126*T1^6*T2 - 191*T1^7*T2 + 112*T1^8*T2 - 16*T1^9*T2 + 
     40*T2^2 - 191*T1*T2^2 - 182*T1^2*T2^2 + 1097*T1^3*T2^2 - 
     1499*T1^4*T2^2 + 1672*T1^5*T2^2 - 1499*T1^6*T2^2 + 1097*T1^7*T2^2 - 
     182*T1^8*T2^2 - 191*T1^9*T2^2 + 40*T1^10*T2^2 - 56*T2^3 + 126*T1*T2^3 + 
     1097*T1^2*T2^3 - 2280*T1^3*T2^3 + 1269*T1^4*T2^3 - 500*T1^5*T2^3 - 
     500*T1^6*T2^3 + 1269*T1^7*T2^3 - 2280*T1^8*T2^3 + 1097*T1^9*T2^3 + 
     126*T1^10*T2^3 - 56*T1^11*T2^3 + 62*T2^4 - 47*T1*T2^4 - 1499*T1^2*T2^4 + 
     1269*T1^3*T2^4 + 1917*T1^4*T2^4 - 2363*T1^5*T2^4 + 2839*T1^6*T2^4 - 
     2363*T1^7*T2^4 + 1917*T1^8*T2^4 + 1269*T1^9*T2^4 - 1499*T1^10*T2^4 - 
     47*T1^11*T2^4 + 62*T1^12*T2^4 - 56*T2^5 - 47*T1*T2^5 + 1672*T1^2*T2^5 - 
     500*T1^3*T2^5 - 2363*T1^4*T2^5 + 528*T1^5*T2^5 - 472*T1^6*T2^5 - 
     472*T1^7*T2^5 + 528*T1^8*T2^5 - 2363*T1^9*T2^5 - 500*T1^10*T2^5 + 
     1672*T1^11*T2^5 - 47*T1^12*T2^5 - 56*T1^13*T2^5 + 40*T2^6 + 
     126*T1*T2^6 - 1499*T1^2*T2^6 - 500*T1^3*T2^6 + 2839*T1^4*T2^6 - 
     472*T1^5*T2^6 + 1592*T1^6*T2^6 - 970*T1^7*T2^6 + 1592*T1^8*T2^6 - 
     472*T1^9*T2^6 + 2839*T1^10*T2^6 - 500*T1^11*T2^6 - 1499*T1^12*T2^6 + 
     126*T1^13*T2^6 + 40*T1^14*T2^6 - 16*T2^7 - 191*T1*T2^7 + 
     1097*T1^2*T2^7 + 1269*T1^3*T2^7 - 2363*T1^4*T2^7 - 472*T1^5*T2^7 - 
     970*T1^6*T2^7 - 236*T1^7*T2^7 - 236*T1^8*T2^7 - 970*T1^9*T2^7 - 
     472*T1^10*T2^7 - 2363*T1^11*T2^7 + 1269*T1^12*T2^7 + 1097*T1^13*T2^7 - 
     191*T1^14*T2^7 - 16*T1^15*T2^7 + 2*T2^8 + 112*T1*T2^8 - 182*T1^2*T2^8 - 
     2280*T1^3*T2^8 + 1917*T1^4*T2^8 + 528*T1^5*T2^8 + 1592*T1^6*T2^8 - 
     236*T1^7*T2^8 + 1008*T1^8*T2^8 - 236*T1^9*T2^8 + 1592*T1^10*T2^8 + 
     528*T1^11*T2^8 + 1917*T1^12*T2^8 - 2280*T1^13*T2^8 - 182*T1^14*T2^8 + 
     112*T1^15*T2^8 + 2*T1^16*T2^8 - 16*T1*T2^9 - 191*T1^2*T2^9 + 
     1097*T1^3*T2^9 + 1269*T1^4*T2^9 - 2363*T1^5*T2^9 - 472*T1^6*T2^9 - 
     970*T1^7*T2^9 - 236*T1^8*T2^9 - 236*T1^9*T2^9 - 970*T1^10*T2^9 - 
     472*T1^11*T2^9 - 2363*T1^12*T2^9 + 1269*T1^13*T2^9 + 1097*T1^14*T2^9 - 
     191*T1^15*T2^9 - 16*T1^16*T2^9 + 40*T1^2*T2^10 + 126*T1^3*T2^10 - 
     1499*T1^4*T2^10 - 500*T1^5*T2^10 + 2839*T1^6*T2^10 - 472*T1^7*T2^10 + 
     1592*T1^8*T2^10 - 970*T1^9*T2^10 + 1592*T1^10*T2^10 - 472*T1^11*T2^10 + 
     2839*T1^12*T2^10 - 500*T1^13*T2^10 - 1499*T1^14*T2^10 + 
     126*T1^15*T2^10 + 40*T1^16*T2^10 - 56*T1^3*T2^11 - 47*T1^4*T2^11 + 
     1672*T1^5*T2^11 - 500*T1^6*T2^11 - 2363*T1^7*T2^11 + 528*T1^8*T2^11 - 
     472*T1^9*T2^11 - 472*T1^10*T2^11 + 528*T1^11*T2^11 - 2363*T1^12*T2^11 - 
     500*T1^13*T2^11 + 1672*T1^14*T2^11 - 47*T1^15*T2^11 - 56*T1^16*T2^11 + 
     62*T1^4*T2^12 - 47*T1^5*T2^12 - 1499*T1^6*T2^12 + 1269*T1^7*T2^12 + 
     1917*T1^8*T2^12 - 2363*T1^9*T2^12 + 2839*T1^10*T2^12 - 
     2363*T1^11*T2^12 + 1917*T1^12*T2^12 + 1269*T1^13*T2^12 - 
     1499*T1^14*T2^12 - 47*T1^15*T2^12 + 62*T1^16*T2^12 - 56*T1^5*T2^13 + 
     126*T1^6*T2^13 + 1097*T1^7*T2^13 - 2280*T1^8*T2^13 + 1269*T1^9*T2^13 - 
     500*T1^10*T2^13 - 500*T1^11*T2^13 + 1269*T1^12*T2^13 - 
     2280*T1^13*T2^13 + 1097*T1^14*T2^13 + 126*T1^15*T2^13 - 56*T1^16*T2^13 + 
     40*T1^6*T2^14 - 191*T1^7*T2^14 - 182*T1^8*T2^14 + 1097*T1^9*T2^14 - 
     1499*T1^10*T2^14 + 1672*T1^11*T2^14 - 1499*T1^12*T2^14 + 
     1097*T1^13*T2^14 - 182*T1^14*T2^14 - 191*T1^15*T2^14 + 40*T1^16*T2^14 - 
     16*T1^7*T2^15 + 112*T1^8*T2^15 - 191*T1^9*T2^15 + 126*T1^10*T2^15 - 
     47*T1^11*T2^15 - 47*T1^12*T2^15 + 126*T1^13*T2^15 - 191*T1^14*T2^15 + 
     112*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)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 1085] -> 
  {(2 - 17*T + 45*T^2 - 59*T^3 + 45*T^4 - 17*T^5 + 2*T^6)/T^3, 
   (9 - 76*T1 + 200*T1^2 - 261*T1^3 + 200*T1^4 - 76*T1^5 + 9*T1^6 - 76*T2 + 
     566*T1*T2 - 1044*T1^2*T2 + 512*T1^3*T2 + 512*T1^4*T2 - 1044*T1^5*T2 + 
     566*T1^6*T2 - 76*T1^7*T2 + 200*T2^2 - 1044*T1*T2^2 - 729*T1^2*T2^2 + 
     6508*T1^3*T2^2 - 9315*T1^4*T2^2 + 6508*T1^5*T2^2 - 729*T1^6*T2^2 - 
     1044*T1^7*T2^2 + 200*T1^8*T2^2 - 261*T2^3 + 512*T1*T2^3 + 
     6508*T1^2*T2^3 - 15198*T1^3*T2^3 + 7463*T1^4*T2^3 + 7463*T1^5*T2^3 - 
     15198*T1^6*T2^3 + 6508*T1^7*T2^3 + 512*T1^8*T2^3 - 261*T1^9*T2^3 + 
     200*T2^4 + 512*T1*T2^4 - 9315*T1^2*T2^4 + 7463*T1^3*T2^4 + 
     19990*T1^4*T2^4 - 33410*T1^5*T2^4 + 19990*T1^6*T2^4 + 7463*T1^7*T2^4 - 
     9315*T1^8*T2^4 + 512*T1^9*T2^4 + 200*T1^10*T2^4 - 76*T2^5 - 
     1044*T1*T2^5 + 6508*T1^2*T2^5 + 7463*T1^3*T2^5 - 33410*T1^4*T2^5 + 
     17276*T1^5*T2^5 + 17276*T1^6*T2^5 - 33410*T1^7*T2^5 + 7463*T1^8*T2^5 + 
     6508*T1^9*T2^5 - 1044*T1^10*T2^5 - 76*T1^11*T2^5 + 9*T2^6 + 
     566*T1*T2^6 - 729*T1^2*T2^6 - 15198*T1^3*T2^6 + 19990*T1^4*T2^6 + 
     17276*T1^5*T2^6 - 36324*T1^6*T2^6 + 17276*T1^7*T2^6 + 19990*T1^8*T2^6 - 
     15198*T1^9*T2^6 - 729*T1^10*T2^6 + 566*T1^11*T2^6 + 9*T1^12*T2^6 - 
     76*T1*T2^7 - 1044*T1^2*T2^7 + 6508*T1^3*T2^7 + 7463*T1^4*T2^7 - 
     33410*T1^5*T2^7 + 17276*T1^6*T2^7 + 17276*T1^7*T2^7 - 33410*T1^8*T2^7 + 
     7463*T1^9*T2^7 + 6508*T1^10*T2^7 - 1044*T1^11*T2^7 - 76*T1^12*T2^7 + 
     200*T1^2*T2^8 + 512*T1^3*T2^8 - 9315*T1^4*T2^8 + 7463*T1^5*T2^8 + 
     19990*T1^6*T2^8 - 33410*T1^7*T2^8 + 19990*T1^8*T2^8 + 7463*T1^9*T2^8 - 
     9315*T1^10*T2^8 + 512*T1^11*T2^8 + 200*T1^12*T2^8 - 261*T1^3*T2^9 + 
     512*T1^4*T2^9 + 6508*T1^5*T2^9 - 15198*T1^6*T2^9 + 7463*T1^7*T2^9 + 
     7463*T1^8*T2^9 - 15198*T1^9*T2^9 + 6508*T1^10*T2^9 + 512*T1^11*T2^9 - 
     261*T1^12*T2^9 + 200*T1^4*T2^10 - 1044*T1^5*T2^10 - 729*T1^6*T2^10 + 
     6508*T1^7*T2^10 - 9315*T1^8*T2^10 + 6508*T1^9*T2^10 - 729*T1^10*T2^10 - 
     1044*T1^11*T2^10 + 200*T1^12*T2^10 - 76*T1^5*T2^11 + 566*T1^6*T2^11 - 
     1044*T1^7*T2^11 + 512*T1^8*T2^11 + 512*T1^9*T2^11 - 1044*T1^10*T2^11 + 
     566*T1^11*T2^11 - 76*T1^12*T2^11 + 9*T1^6*T2^12 - 76*T1^7*T2^12 + 
     200*T1^8*T2^12 - 261*T1^9*T2^12 + 200*T1^10*T2^12 - 76*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 1086] -> 
  {(4 - 20*T + 46*T^2 - 59*T^3 + 46*T^4 - 20*T^5 + 4*T^6)/T^3, 
   -((64 - 312*T1 + 700*T1^2 - 888*T1^3 + 700*T1^4 - 312*T1^5 + 64*T1^6 - 
      312*T2 + 1216*T1*T2 - 1908*T1^2*T2 + 928*T1^3*T2 + 928*T1^4*T2 - 
      1908*T1^5*T2 + 1216*T1^6*T2 - 312*T1^7*T2 + 700*T2^2 - 1908*T1*T2^2 + 
      854*T1^2*T2^2 + 3880*T1^3*T2^2 - 6384*T1^4*T2^2 + 3880*T1^5*T2^2 + 
      854*T1^6*T2^2 - 1908*T1^7*T2^2 + 700*T1^8*T2^2 - 888*T2^3 + 
      928*T1*T2^3 + 3880*T1^2*T2^3 - 10092*T1^3*T2^3 + 5270*T1^4*T2^3 + 
      5270*T1^5*T2^3 - 10092*T1^6*T2^3 + 3880*T1^7*T2^3 + 928*T1^8*T2^3 - 
      888*T1^9*T2^3 + 700*T2^4 + 928*T1*T2^4 - 6384*T1^2*T2^4 + 
      5270*T1^3*T2^4 + 11403*T1^4*T2^4 - 20437*T1^5*T2^4 + 11403*T1^6*T2^4 + 
      5270*T1^7*T2^4 - 6384*T1^8*T2^4 + 928*T1^9*T2^4 + 700*T1^10*T2^4 - 
      312*T2^5 - 1908*T1*T2^5 + 3880*T1^2*T2^5 + 5270*T1^3*T2^5 - 
      20437*T1^4*T2^5 + 11102*T1^5*T2^5 + 11102*T1^6*T2^5 - 20437*T1^7*T2^5 + 
      5270*T1^8*T2^5 + 3880*T1^9*T2^5 - 1908*T1^10*T2^5 - 312*T1^11*T2^5 + 
      64*T2^6 + 1216*T1*T2^6 + 854*T1^2*T2^6 - 10092*T1^3*T2^6 + 
      11403*T1^4*T2^6 + 11102*T1^5*T2^6 - 23724*T1^6*T2^6 + 11102*T1^7*T2^6 + 
      11403*T1^8*T2^6 - 10092*T1^9*T2^6 + 854*T1^10*T2^6 + 1216*T1^11*T2^6 + 
      64*T1^12*T2^6 - 312*T1*T2^7 - 1908*T1^2*T2^7 + 3880*T1^3*T2^7 + 
      5270*T1^4*T2^7 - 20437*T1^5*T2^7 + 11102*T1^6*T2^7 + 11102*T1^7*T2^7 - 
      20437*T1^8*T2^7 + 5270*T1^9*T2^7 + 3880*T1^10*T2^7 - 1908*T1^11*T2^7 - 
      312*T1^12*T2^7 + 700*T1^2*T2^8 + 928*T1^3*T2^8 - 6384*T1^4*T2^8 + 
      5270*T1^5*T2^8 + 11403*T1^6*T2^8 - 20437*T1^7*T2^8 + 11403*T1^8*T2^8 + 
      5270*T1^9*T2^8 - 6384*T1^10*T2^8 + 928*T1^11*T2^8 + 700*T1^12*T2^8 - 
      888*T1^3*T2^9 + 928*T1^4*T2^9 + 3880*T1^5*T2^9 - 10092*T1^6*T2^9 + 
      5270*T1^7*T2^9 + 5270*T1^8*T2^9 - 10092*T1^9*T2^9 + 3880*T1^10*T2^9 + 
      928*T1^11*T2^9 - 888*T1^12*T2^9 + 700*T1^4*T2^10 - 1908*T1^5*T2^10 + 
      854*T1^6*T2^10 + 3880*T1^7*T2^10 - 6384*T1^8*T2^10 + 3880*T1^9*T2^10 + 
      854*T1^10*T2^10 - 1908*T1^11*T2^10 + 700*T1^12*T2^10 - 312*T1^5*T2^11 + 
      1216*T1^6*T2^11 - 1908*T1^7*T2^11 + 928*T1^8*T2^11 + 928*T1^9*T2^11 - 
      1908*T1^10*T2^11 + 1216*T1^11*T2^11 - 312*T1^12*T2^11 + 64*T1^6*T2^12 - 
      312*T1^7*T2^12 + 700*T1^8*T2^12 - 888*T1^9*T2^12 + 700*T1^10*T2^12 - 
      312*T1^11*T2^12 + 64*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   -((T1^2 - T1^3 - T1^4 + T1^5 - T1*T2 - 9*T1^3*T2 + 19*T1^4*T2 - 
      9*T1^5*T2 - T1^7*T2 + T2^2 + 10*T1^2*T2^2 - T1^3*T2^2 - 6*T1^4*T2^2 - 
      6*T1^5*T2^2 - T1^6*T2^2 + 10*T1^7*T2^2 + T1^9*T2^2 - T2^3 - 9*T1*T2^3 - 
      T1^2*T2^3 - 79*T1^3*T2^3 + 244*T1^4*T2^3 - 331*T1^5*T2^3 + 
      244*T1^6*T2^3 - 79*T1^7*T2^3 - T1^8*T2^3 - 9*T1^9*T2^3 - T1^10*T2^3 - 
      T2^4 + 19*T1*T2^4 - 6*T1^2*T2^4 + 244*T1^3*T2^4 - 544*T1^4*T2^4 + 
      297*T1^5*T2^4 + 297*T1^6*T2^4 - 544*T1^7*T2^4 + 244*T1^8*T2^4 - 
      6*T1^9*T2^4 + 19*T1^10*T2^4 - T1^11*T2^4 + T2^5 - 9*T1*T2^5 - 
      6*T1^2*T2^5 - 331*T1^3*T2^5 + 297*T1^4*T2^5 + 714*T1^5*T2^5 - 
      1278*T1^6*T2^5 + 714*T1^7*T2^5 + 297*T1^8*T2^5 - 331*T1^9*T2^5 - 
      6*T1^10*T2^5 - 9*T1^11*T2^5 + T1^12*T2^5 - T1^2*T2^6 + 244*T1^3*T2^6 + 
      297*T1^4*T2^6 - 1278*T1^5*T2^6 + 650*T1^6*T2^6 + 650*T1^7*T2^6 - 
      1278*T1^8*T2^6 + 297*T1^9*T2^6 + 244*T1^10*T2^6 - T1^11*T2^6 - 
      T1*T2^7 + 10*T1^2*T2^7 - 79*T1^3*T2^7 - 544*T1^4*T2^7 + 714*T1^5*T2^7 + 
      650*T1^6*T2^7 - 1260*T1^7*T2^7 + 650*T1^8*T2^7 + 714*T1^9*T2^7 - 
      544*T1^10*T2^7 - 79*T1^11*T2^7 + 10*T1^12*T2^7 - T1^13*T2^7 - 
      T1^3*T2^8 + 244*T1^4*T2^8 + 297*T1^5*T2^8 - 1278*T1^6*T2^8 + 
      650*T1^7*T2^8 + 650*T1^8*T2^8 - 1278*T1^9*T2^8 + 297*T1^10*T2^8 + 
      244*T1^11*T2^8 - T1^12*T2^8 + T1^2*T2^9 - 9*T1^3*T2^9 - 6*T1^4*T2^9 - 
      331*T1^5*T2^9 + 297*T1^6*T2^9 + 714*T1^7*T2^9 - 1278*T1^8*T2^9 + 
      714*T1^9*T2^9 + 297*T1^10*T2^9 - 331*T1^11*T2^9 - 6*T1^12*T2^9 - 
      9*T1^13*T2^9 + T1^14*T2^9 - T1^3*T2^10 + 19*T1^4*T2^10 - 6*T1^5*T2^10 + 
      244*T1^6*T2^10 - 544*T1^7*T2^10 + 297*T1^8*T2^10 + 297*T1^9*T2^10 - 
      544*T1^10*T2^10 + 244*T1^11*T2^10 - 6*T1^12*T2^10 + 19*T1^13*T2^10 - 
      T1^14*T2^10 - T1^4*T2^11 - 9*T1^5*T2^11 - T1^6*T2^11 - 79*T1^7*T2^11 + 
      244*T1^8*T2^11 - 331*T1^9*T2^11 + 244*T1^10*T2^11 - 79*T1^11*T2^11 - 
      T1^12*T2^11 - 9*T1^13*T2^11 - T1^14*T2^11 + T1^5*T2^12 + 
      10*T1^7*T2^12 - T1^8*T2^12 - 6*T1^9*T2^12 - 6*T1^10*T2^12 - 
      T1^11*T2^12 + 10*T1^12*T2^12 + T1^14*T2^12 - T1^7*T2^13 - 
      9*T1^9*T2^13 + 19*T1^10*T2^13 - 9*T1^11*T2^13 - T1^13*T2^13 + 
      T1^9*T2^14 - T1^10*T2^14 - T1^11*T2^14 + T1^12*T2^14)/(T1^7*T2^7))}, 
 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, 
   (T1^2 - T1^3 - T1^4 + T1^5 + 3*T1*T2 - 20*T1^2*T2 + 31*T1^3*T2 - 
     29*T1^4*T2 + 31*T1^5*T2 - 20*T1^6*T2 + 3*T1^7*T2 + T2^2 - 20*T1*T2^2 + 
     84*T1^2*T2^2 - 86*T1^3*T2^2 + 25*T1^4*T2^2 + 25*T1^5*T2^2 - 
     86*T1^6*T2^2 + 84*T1^7*T2^2 - 20*T1^8*T2^2 + T1^9*T2^2 - T2^3 + 
     31*T1*T2^3 - 86*T1^2*T2^3 - 139*T1^3*T2^3 + 456*T1^4*T2^3 - 
     545*T1^5*T2^3 + 456*T1^6*T2^3 - 139*T1^7*T2^3 - 86*T1^8*T2^3 + 
     31*T1^9*T2^3 - T1^10*T2^3 - T2^4 - 29*T1*T2^4 + 25*T1^2*T2^4 + 
     456*T1^3*T2^4 - 682*T1^4*T2^4 + 246*T1^5*T2^4 + 246*T1^6*T2^4 - 
     682*T1^7*T2^4 + 456*T1^8*T2^4 + 25*T1^9*T2^4 - 29*T1^10*T2^4 - 
     T1^11*T2^4 + T2^5 + 31*T1*T2^5 + 25*T1^2*T2^5 - 545*T1^3*T2^5 + 
     246*T1^4*T2^5 + 621*T1^5*T2^5 - 765*T1^6*T2^5 + 621*T1^7*T2^5 + 
     246*T1^8*T2^5 - 545*T1^9*T2^5 + 25*T1^10*T2^5 + 31*T1^11*T2^5 + 
     T1^12*T2^5 - 20*T1*T2^6 - 86*T1^2*T2^6 + 456*T1^3*T2^6 + 246*T1^4*T2^6 - 
     765*T1^5*T2^6 + 150*T1^6*T2^6 + 150*T1^7*T2^6 - 765*T1^8*T2^6 + 
     246*T1^9*T2^6 + 456*T1^10*T2^6 - 86*T1^11*T2^6 - 20*T1^12*T2^6 + 
     3*T1*T2^7 + 84*T1^2*T2^7 - 139*T1^3*T2^7 - 682*T1^4*T2^7 + 
     621*T1^5*T2^7 + 150*T1^6*T2^7 - 12*T1^7*T2^7 + 150*T1^8*T2^7 + 
     621*T1^9*T2^7 - 682*T1^10*T2^7 - 139*T1^11*T2^7 + 84*T1^12*T2^7 + 
     3*T1^13*T2^7 - 20*T1^2*T2^8 - 86*T1^3*T2^8 + 456*T1^4*T2^8 + 
     246*T1^5*T2^8 - 765*T1^6*T2^8 + 150*T1^7*T2^8 + 150*T1^8*T2^8 - 
     765*T1^9*T2^8 + 246*T1^10*T2^8 + 456*T1^11*T2^8 - 86*T1^12*T2^8 - 
     20*T1^13*T2^8 + T1^2*T2^9 + 31*T1^3*T2^9 + 25*T1^4*T2^9 - 
     545*T1^5*T2^9 + 246*T1^6*T2^9 + 621*T1^7*T2^9 - 765*T1^8*T2^9 + 
     621*T1^9*T2^9 + 246*T1^10*T2^9 - 545*T1^11*T2^9 + 25*T1^12*T2^9 + 
     31*T1^13*T2^9 + T1^14*T2^9 - T1^3*T2^10 - 29*T1^4*T2^10 + 
     25*T1^5*T2^10 + 456*T1^6*T2^10 - 682*T1^7*T2^10 + 246*T1^8*T2^10 + 
     246*T1^9*T2^10 - 682*T1^10*T2^10 + 456*T1^11*T2^10 + 25*T1^12*T2^10 - 
     29*T1^13*T2^10 - T1^14*T2^10 - T1^4*T2^11 + 31*T1^5*T2^11 - 
     86*T1^6*T2^11 - 139*T1^7*T2^11 + 456*T1^8*T2^11 - 545*T1^9*T2^11 + 
     456*T1^10*T2^11 - 139*T1^11*T2^11 - 86*T1^12*T2^11 + 31*T1^13*T2^11 - 
     T1^14*T2^11 + T1^5*T2^12 - 20*T1^6*T2^12 + 84*T1^7*T2^12 - 
     86*T1^8*T2^12 + 25*T1^9*T2^12 + 25*T1^10*T2^12 - 86*T1^11*T2^12 + 
     84*T1^12*T2^12 - 20*T1^13*T2^12 + T1^14*T2^12 + 3*T1^7*T2^13 - 
     20*T1^8*T2^13 + 31*T1^9*T2^13 - 29*T1^10*T2^13 + 31*T1^11*T2^13 - 
     20*T1^12*T2^13 + 3*T1^13*T2^13 + T1^9*T2^14 - T1^10*T2^14 - 
     T1^11*T2^14 + T1^12*T2^14)/(T1^7*T2^7)}, 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, 
   (2 - 16*T1 + 42*T1^2 - 62*T1^3 + 70*T1^4 - 62*T1^5 + 42*T1^6 - 16*T1^7 + 
     2*T1^8 - 16*T2 + 112*T1*T2 - 207*T1^2*T2 + 158*T1^3*T2 - 63*T1^4*T2 - 
     63*T1^5*T2 + 158*T1^6*T2 - 207*T1^7*T2 + 112*T1^8*T2 - 16*T1^9*T2 + 
     42*T2^2 - 207*T1*T2^2 - 99*T1^2*T2^2 + 1026*T1^3*T2^2 - 1561*T1^4*T2^2 + 
     1803*T1^5*T2^2 - 1561*T1^6*T2^2 + 1026*T1^7*T2^2 - 99*T1^8*T2^2 - 
     207*T1^9*T2^2 + 42*T1^10*T2^2 - 62*T2^3 + 158*T1*T2^3 + 1026*T1^2*T2^3 - 
     2446*T1^3*T2^3 + 1660*T1^4*T2^3 - 696*T1^5*T2^3 - 696*T1^6*T2^3 + 
     1660*T1^7*T2^3 - 2446*T1^8*T2^3 + 1026*T1^9*T2^3 + 158*T1^10*T2^3 - 
     62*T1^11*T2^3 + 70*T2^4 - 63*T1*T2^4 - 1561*T1^2*T2^4 + 1660*T1^3*T2^4 + 
     1745*T1^4*T2^4 - 2863*T1^5*T2^4 + 3677*T1^6*T2^4 - 2863*T1^7*T2^4 + 
     1745*T1^8*T2^4 + 1660*T1^9*T2^4 - 1561*T1^10*T2^4 - 63*T1^11*T2^4 + 
     70*T1^12*T2^4 - 62*T2^5 - 63*T1*T2^5 + 1803*T1^2*T2^5 - 696*T1^3*T2^5 - 
     2863*T1^4*T2^5 + 1330*T1^5*T2^5 - 858*T1^6*T2^5 - 858*T1^7*T2^5 + 
     1330*T1^8*T2^5 - 2863*T1^9*T2^5 - 696*T1^10*T2^5 + 1803*T1^11*T2^5 - 
     63*T1^12*T2^5 - 62*T1^13*T2^5 + 42*T2^6 + 158*T1*T2^6 - 1561*T1^2*T2^6 - 
     696*T1^3*T2^6 + 3677*T1^4*T2^6 - 858*T1^5*T2^6 + 1549*T1^6*T2^6 - 
     733*T1^7*T2^6 + 1549*T1^8*T2^6 - 858*T1^9*T2^6 + 3677*T1^10*T2^6 - 
     696*T1^11*T2^6 - 1561*T1^12*T2^6 + 158*T1^13*T2^6 + 42*T1^14*T2^6 - 
     16*T2^7 - 207*T1*T2^7 + 1026*T1^2*T2^7 + 1660*T1^3*T2^7 - 
     2863*T1^4*T2^7 - 858*T1^5*T2^7 - 733*T1^6*T2^7 - 306*T1^7*T2^7 - 
     306*T1^8*T2^7 - 733*T1^9*T2^7 - 858*T1^10*T2^7 - 2863*T1^11*T2^7 + 
     1660*T1^12*T2^7 + 1026*T1^13*T2^7 - 207*T1^14*T2^7 - 16*T1^15*T2^7 + 
     2*T2^8 + 112*T1*T2^8 - 99*T1^2*T2^8 - 2446*T1^3*T2^8 + 1745*T1^4*T2^8 + 
     1330*T1^5*T2^8 + 1549*T1^6*T2^8 - 306*T1^7*T2^8 + 1056*T1^8*T2^8 - 
     306*T1^9*T2^8 + 1549*T1^10*T2^8 + 1330*T1^11*T2^8 + 1745*T1^12*T2^8 - 
     2446*T1^13*T2^8 - 99*T1^14*T2^8 + 112*T1^15*T2^8 + 2*T1^16*T2^8 - 
     16*T1*T2^9 - 207*T1^2*T2^9 + 1026*T1^3*T2^9 + 1660*T1^4*T2^9 - 
     2863*T1^5*T2^9 - 858*T1^6*T2^9 - 733*T1^7*T2^9 - 306*T1^8*T2^9 - 
     306*T1^9*T2^9 - 733*T1^10*T2^9 - 858*T1^11*T2^9 - 2863*T1^12*T2^9 + 
     1660*T1^13*T2^9 + 1026*T1^14*T2^9 - 207*T1^15*T2^9 - 16*T1^16*T2^9 + 
     42*T1^2*T2^10 + 158*T1^3*T2^10 - 1561*T1^4*T2^10 - 696*T1^5*T2^10 + 
     3677*T1^6*T2^10 - 858*T1^7*T2^10 + 1549*T1^8*T2^10 - 733*T1^9*T2^10 + 
     1549*T1^10*T2^10 - 858*T1^11*T2^10 + 3677*T1^12*T2^10 - 
     696*T1^13*T2^10 - 1561*T1^14*T2^10 + 158*T1^15*T2^10 + 42*T1^16*T2^10 - 
     62*T1^3*T2^11 - 63*T1^4*T2^11 + 1803*T1^5*T2^11 - 696*T1^6*T2^11 - 
     2863*T1^7*T2^11 + 1330*T1^8*T2^11 - 858*T1^9*T2^11 - 858*T1^10*T2^11 + 
     1330*T1^11*T2^11 - 2863*T1^12*T2^11 - 696*T1^13*T2^11 + 
     1803*T1^14*T2^11 - 63*T1^15*T2^11 - 62*T1^16*T2^11 + 70*T1^4*T2^12 - 
     63*T1^5*T2^12 - 1561*T1^6*T2^12 + 1660*T1^7*T2^12 + 1745*T1^8*T2^12 - 
     2863*T1^9*T2^12 + 3677*T1^10*T2^12 - 2863*T1^11*T2^12 + 
     1745*T1^12*T2^12 + 1660*T1^13*T2^12 - 1561*T1^14*T2^12 - 
     63*T1^15*T2^12 + 70*T1^16*T2^12 - 62*T1^5*T2^13 + 158*T1^6*T2^13 + 
     1026*T1^7*T2^13 - 2446*T1^8*T2^13 + 1660*T1^9*T2^13 - 696*T1^10*T2^13 - 
     696*T1^11*T2^13 + 1660*T1^12*T2^13 - 2446*T1^13*T2^13 + 
     1026*T1^14*T2^13 + 158*T1^15*T2^13 - 62*T1^16*T2^13 + 42*T1^6*T2^14 - 
     207*T1^7*T2^14 - 99*T1^8*T2^14 + 1026*T1^9*T2^14 - 1561*T1^10*T2^14 + 
     1803*T1^11*T2^14 - 1561*T1^12*T2^14 + 1026*T1^13*T2^14 - 
     99*T1^14*T2^14 - 207*T1^15*T2^14 + 42*T1^16*T2^14 - 16*T1^7*T2^15 + 
     112*T1^8*T2^15 - 207*T1^9*T2^15 + 158*T1^10*T2^15 - 63*T1^11*T2^15 - 
     63*T1^12*T2^15 + 158*T1^13*T2^15 - 207*T1^14*T2^15 + 112*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)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 1090] -> 
  {(2 - 16*T + 42*T^2 - 55*T^3 + 42*T^4 - 16*T^5 + 2*T^6)/T^3, 
   (9 - 72*T1 + 188*T1^2 - 245*T1^3 + 188*T1^4 - 72*T1^5 + 9*T1^6 - 72*T2 + 
     504*T1*T2 - 924*T1^2*T2 + 452*T1^3*T2 + 452*T1^4*T2 - 924*T1^5*T2 + 
     504*T1^6*T2 - 72*T1^7*T2 + 188*T2^2 - 924*T1*T2^2 - 494*T1^2*T2^2 + 
     5306*T1^3*T2^2 - 7640*T1^4*T2^2 + 5306*T1^5*T2^2 - 494*T1^6*T2^2 - 
     924*T1^7*T2^2 + 188*T1^8*T2^2 - 245*T2^3 + 452*T1*T2^3 + 
     5306*T1^2*T2^3 - 12572*T1^3*T2^3 + 6174*T1^4*T2^3 + 6174*T1^5*T2^3 - 
     12572*T1^6*T2^3 + 5306*T1^7*T2^3 + 452*T1^8*T2^3 - 245*T1^9*T2^3 + 
     188*T2^4 + 452*T1*T2^4 - 7640*T1^2*T2^4 + 6174*T1^3*T2^4 + 
     16671*T1^4*T2^4 - 27841*T1^5*T2^4 + 16671*T1^6*T2^4 + 6174*T1^7*T2^4 - 
     7640*T1^8*T2^4 + 452*T1^9*T2^4 + 188*T1^10*T2^4 - 72*T2^5 - 
     924*T1*T2^5 + 5306*T1^2*T2^5 + 6174*T1^3*T2^5 - 27841*T1^4*T2^5 + 
     14432*T1^5*T2^5 + 14432*T1^6*T2^5 - 27841*T1^7*T2^5 + 6174*T1^8*T2^5 + 
     5306*T1^9*T2^5 - 924*T1^10*T2^5 - 72*T1^11*T2^5 + 9*T2^6 + 504*T1*T2^6 - 
     494*T1^2*T2^6 - 12572*T1^3*T2^6 + 16671*T1^4*T2^6 + 14432*T1^5*T2^6 - 
     30432*T1^6*T2^6 + 14432*T1^7*T2^6 + 16671*T1^8*T2^6 - 12572*T1^9*T2^6 - 
     494*T1^10*T2^6 + 504*T1^11*T2^6 + 9*T1^12*T2^6 - 72*T1*T2^7 - 
     924*T1^2*T2^7 + 5306*T1^3*T2^7 + 6174*T1^4*T2^7 - 27841*T1^5*T2^7 + 
     14432*T1^6*T2^7 + 14432*T1^7*T2^7 - 27841*T1^8*T2^7 + 6174*T1^9*T2^7 + 
     5306*T1^10*T2^7 - 924*T1^11*T2^7 - 72*T1^12*T2^7 + 188*T1^2*T2^8 + 
     452*T1^3*T2^8 - 7640*T1^4*T2^8 + 6174*T1^5*T2^8 + 16671*T1^6*T2^8 - 
     27841*T1^7*T2^8 + 16671*T1^8*T2^8 + 6174*T1^9*T2^8 - 7640*T1^10*T2^8 + 
     452*T1^11*T2^8 + 188*T1^12*T2^8 - 245*T1^3*T2^9 + 452*T1^4*T2^9 + 
     5306*T1^5*T2^9 - 12572*T1^6*T2^9 + 6174*T1^7*T2^9 + 6174*T1^8*T2^9 - 
     12572*T1^9*T2^9 + 5306*T1^10*T2^9 + 452*T1^11*T2^9 - 245*T1^12*T2^9 + 
     188*T1^4*T2^10 - 924*T1^5*T2^10 - 494*T1^6*T2^10 + 5306*T1^7*T2^10 - 
     7640*T1^8*T2^10 + 5306*T1^9*T2^10 - 494*T1^10*T2^10 - 924*T1^11*T2^10 + 
     188*T1^12*T2^10 - 72*T1^5*T2^11 + 504*T1^6*T2^11 - 924*T1^7*T2^11 + 
     452*T1^8*T2^11 + 452*T1^9*T2^11 - 924*T1^10*T2^11 + 504*T1^11*T2^11 - 
     72*T1^12*T2^11 + 9*T1^6*T2^12 - 72*T1^7*T2^12 + 188*T1^8*T2^12 - 
     245*T1^9*T2^12 + 188*T1^10*T2^12 - 72*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, 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, (1 - 4*T1 + 9*T1^2 - 15*T1^3 + 19*T1^4 - 15*T1^5 + 9*T1^6 - 4*T1^7 + 
     T1^8 - 4*T2 + 12*T1*T2 - 19*T1^2*T2 + 21*T1^3*T2 - 14*T1^4*T2 - 
     14*T1^5*T2 + 21*T1^6*T2 - 19*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 9*T2^2 - 
     19*T1*T2^2 + 27*T1^2*T2^2 - 49*T1^3*T2^2 + 90*T1^4*T2^2 - 75*T1^5*T2^2 + 
     90*T1^6*T2^2 - 49*T1^7*T2^2 + 27*T1^8*T2^2 - 19*T1^9*T2^2 + 
     9*T1^10*T2^2 - 15*T2^3 + 21*T1*T2^3 - 49*T1^2*T2^3 + 140*T1^3*T2^3 - 
     234*T1^4*T2^3 + 57*T1^5*T2^3 + 57*T1^6*T2^3 - 234*T1^7*T2^3 + 
     140*T1^8*T2^3 - 49*T1^9*T2^3 + 21*T1^10*T2^3 - 15*T1^11*T2^3 + 19*T2^4 - 
     14*T1*T2^4 + 90*T1^2*T2^4 - 234*T1^3*T2^4 + 223*T1^4*T2^4 + 
     315*T1^5*T2^4 - 309*T1^6*T2^4 + 315*T1^7*T2^4 + 223*T1^8*T2^4 - 
     234*T1^9*T2^4 + 90*T1^10*T2^4 - 14*T1^11*T2^4 + 19*T1^12*T2^4 - 
     15*T2^5 - 14*T1*T2^5 - 75*T1^2*T2^5 + 57*T1^3*T2^5 + 315*T1^4*T2^5 - 
     976*T1^5*T2^5 + 127*T1^6*T2^5 + 127*T1^7*T2^5 - 976*T1^8*T2^5 + 
     315*T1^9*T2^5 + 57*T1^10*T2^5 - 75*T1^11*T2^5 - 14*T1^12*T2^5 - 
     15*T1^13*T2^5 + 9*T2^6 + 21*T1*T2^6 + 90*T1^2*T2^6 + 57*T1^3*T2^6 - 
     309*T1^4*T2^6 + 127*T1^5*T2^6 + 1613*T1^6*T2^6 - 1071*T1^7*T2^6 + 
     1613*T1^8*T2^6 + 127*T1^9*T2^6 - 309*T1^10*T2^6 + 57*T1^11*T2^6 + 
     90*T1^12*T2^6 + 21*T1^13*T2^6 + 9*T1^14*T2^6 - 4*T2^7 - 19*T1*T2^7 - 
     49*T1^2*T2^7 - 234*T1^3*T2^7 + 315*T1^4*T2^7 + 127*T1^5*T2^7 - 
     1071*T1^6*T2^7 - 612*T1^7*T2^7 - 612*T1^8*T2^7 - 1071*T1^9*T2^7 + 
     127*T1^10*T2^7 + 315*T1^11*T2^7 - 234*T1^12*T2^7 - 49*T1^13*T2^7 - 
     19*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 27*T1^2*T2^8 + 
     140*T1^3*T2^8 + 223*T1^4*T2^8 - 976*T1^5*T2^8 + 1613*T1^6*T2^8 - 
     612*T1^7*T2^8 + 2640*T1^8*T2^8 - 612*T1^9*T2^8 + 1613*T1^10*T2^8 - 
     976*T1^11*T2^8 + 223*T1^12*T2^8 + 140*T1^13*T2^8 + 27*T1^14*T2^8 + 
     12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 19*T1^2*T2^9 - 49*T1^3*T2^9 - 
     234*T1^4*T2^9 + 315*T1^5*T2^9 + 127*T1^6*T2^9 - 1071*T1^7*T2^9 - 
     612*T1^8*T2^9 - 612*T1^9*T2^9 - 1071*T1^10*T2^9 + 127*T1^11*T2^9 + 
     315*T1^12*T2^9 - 234*T1^13*T2^9 - 49*T1^14*T2^9 - 19*T1^15*T2^9 - 
     4*T1^16*T2^9 + 9*T1^2*T2^10 + 21*T1^3*T2^10 + 90*T1^4*T2^10 + 
     57*T1^5*T2^10 - 309*T1^6*T2^10 + 127*T1^7*T2^10 + 1613*T1^8*T2^10 - 
     1071*T1^9*T2^10 + 1613*T1^10*T2^10 + 127*T1^11*T2^10 - 309*T1^12*T2^10 + 
     57*T1^13*T2^10 + 90*T1^14*T2^10 + 21*T1^15*T2^10 + 9*T1^16*T2^10 - 
     15*T1^3*T2^11 - 14*T1^4*T2^11 - 75*T1^5*T2^11 + 57*T1^6*T2^11 + 
     315*T1^7*T2^11 - 976*T1^8*T2^11 + 127*T1^9*T2^11 + 127*T1^10*T2^11 - 
     976*T1^11*T2^11 + 315*T1^12*T2^11 + 57*T1^13*T2^11 - 75*T1^14*T2^11 - 
     14*T1^15*T2^11 - 15*T1^16*T2^11 + 19*T1^4*T2^12 - 14*T1^5*T2^12 + 
     90*T1^6*T2^12 - 234*T1^7*T2^12 + 223*T1^8*T2^12 + 315*T1^9*T2^12 - 
     309*T1^10*T2^12 + 315*T1^11*T2^12 + 223*T1^12*T2^12 - 234*T1^13*T2^12 + 
     90*T1^14*T2^12 - 14*T1^15*T2^12 + 19*T1^16*T2^12 - 15*T1^5*T2^13 + 
     21*T1^6*T2^13 - 49*T1^7*T2^13 + 140*T1^8*T2^13 - 234*T1^9*T2^13 + 
     57*T1^10*T2^13 + 57*T1^11*T2^13 - 234*T1^12*T2^13 + 140*T1^13*T2^13 - 
     49*T1^14*T2^13 + 21*T1^15*T2^13 - 15*T1^16*T2^13 + 9*T1^6*T2^14 - 
     19*T1^7*T2^14 + 27*T1^8*T2^14 - 49*T1^9*T2^14 + 90*T1^10*T2^14 - 
     75*T1^11*T2^14 + 90*T1^12*T2^14 - 49*T1^13*T2^14 + 27*T1^14*T2^14 - 
     19*T1^15*T2^14 + 9*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 
     19*T1^9*T2^15 + 21*T1^10*T2^15 - 14*T1^11*T2^15 - 14*T1^12*T2^15 + 
     21*T1^13*T2^15 - 19*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + 
     T1^8*T2^16 - 4*T1^9*T2^16 + 9*T1^10*T2^16 - 15*T1^11*T2^16 + 
     19*T1^12*T2^16 - 15*T1^13*T2^16 + 9*T1^14*T2^16 - 4*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, 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), -((1 - 9*T1 + 29*T1^2 - 52*T1^3 + 61*T1^4 - 52*T1^5 + 29*T1^6 - 
      9*T1^7 + T1^8 - 9*T2 + 72*T1*T2 - 180*T1^2*T2 + 206*T1^3*T2 - 
      80*T1^4*T2 - 80*T1^5*T2 + 206*T1^6*T2 - 180*T1^7*T2 + 72*T1^8*T2 - 
      9*T1^9*T2 + 29*T2^2 - 180*T1*T2^2 + 142*T1^2*T2^2 + 577*T1^3*T2^2 - 
      1573*T1^4*T2^2 + 1874*T1^5*T2^2 - 1573*T1^6*T2^2 + 577*T1^7*T2^2 + 
      142*T1^8*T2^2 - 180*T1^9*T2^2 + 29*T1^10*T2^2 - 52*T2^3 + 206*T1*T2^3 + 
      577*T1^2*T2^3 - 2578*T1^3*T2^3 + 3277*T1^4*T2^3 - 1140*T1^5*T2^3 - 
      1140*T1^6*T2^3 + 3277*T1^7*T2^3 - 2578*T1^8*T2^3 + 577*T1^9*T2^3 + 
      206*T1^10*T2^3 - 52*T1^11*T2^3 + 61*T2^4 - 80*T1*T2^4 - 
      1573*T1^2*T2^4 + 3277*T1^3*T2^4 - 118*T1^4*T2^4 - 5977*T1^5*T2^4 + 
      7210*T1^6*T2^4 - 5977*T1^7*T2^4 - 118*T1^8*T2^4 + 3277*T1^9*T2^4 - 
      1573*T1^10*T2^4 - 80*T1^11*T2^4 + 61*T1^12*T2^4 - 52*T2^5 - 
      80*T1*T2^5 + 1874*T1^2*T2^5 - 1140*T1^3*T2^5 - 5977*T1^4*T2^5 + 
      10222*T1^5*T2^5 - 3257*T1^6*T2^5 - 3257*T1^7*T2^5 + 10222*T1^8*T2^5 - 
      5977*T1^9*T2^5 - 1140*T1^10*T2^5 + 1874*T1^11*T2^5 - 80*T1^12*T2^5 - 
      52*T1^13*T2^5 + 29*T2^6 + 206*T1*T2^6 - 1573*T1^2*T2^6 - 
      1140*T1^3*T2^6 + 7210*T1^4*T2^6 - 3257*T1^5*T2^6 - 10244*T1^6*T2^6 + 
      12732*T1^7*T2^6 - 10244*T1^8*T2^6 - 3257*T1^9*T2^6 + 7210*T1^10*T2^6 - 
      1140*T1^11*T2^6 - 1573*T1^12*T2^6 + 206*T1^13*T2^6 + 29*T1^14*T2^6 - 
      9*T2^7 - 180*T1*T2^7 + 577*T1^2*T2^7 + 3277*T1^3*T2^7 - 
      5977*T1^4*T2^7 - 3257*T1^5*T2^7 + 12732*T1^6*T2^7 - 4192*T1^7*T2^7 - 
      4192*T1^8*T2^7 + 12732*T1^9*T2^7 - 3257*T1^10*T2^7 - 5977*T1^11*T2^7 + 
      3277*T1^12*T2^7 + 577*T1^13*T2^7 - 180*T1^14*T2^7 - 9*T1^15*T2^7 + 
      T2^8 + 72*T1*T2^8 + 142*T1^2*T2^8 - 2578*T1^3*T2^8 - 118*T1^4*T2^8 + 
      10222*T1^5*T2^8 - 10244*T1^6*T2^8 - 4192*T1^7*T2^8 + 7056*T1^8*T2^8 - 
      4192*T1^9*T2^8 - 10244*T1^10*T2^8 + 10222*T1^11*T2^8 - 118*T1^12*T2^8 - 
      2578*T1^13*T2^8 + 142*T1^14*T2^8 + 72*T1^15*T2^8 + T1^16*T2^8 - 
      9*T1*T2^9 - 180*T1^2*T2^9 + 577*T1^3*T2^9 + 3277*T1^4*T2^9 - 
      5977*T1^5*T2^9 - 3257*T1^6*T2^9 + 12732*T1^7*T2^9 - 4192*T1^8*T2^9 - 
      4192*T1^9*T2^9 + 12732*T1^10*T2^9 - 3257*T1^11*T2^9 - 5977*T1^12*T2^9 + 
      3277*T1^13*T2^9 + 577*T1^14*T2^9 - 180*T1^15*T2^9 - 9*T1^16*T2^9 + 
      29*T1^2*T2^10 + 206*T1^3*T2^10 - 1573*T1^4*T2^10 - 1140*T1^5*T2^10 + 
      7210*T1^6*T2^10 - 3257*T1^7*T2^10 - 10244*T1^8*T2^10 + 
      12732*T1^9*T2^10 - 10244*T1^10*T2^10 - 3257*T1^11*T2^10 + 
      7210*T1^12*T2^10 - 1140*T1^13*T2^10 - 1573*T1^14*T2^10 + 
      206*T1^15*T2^10 + 29*T1^16*T2^10 - 52*T1^3*T2^11 - 80*T1^4*T2^11 + 
      1874*T1^5*T2^11 - 1140*T1^6*T2^11 - 5977*T1^7*T2^11 + 
      10222*T1^8*T2^11 - 3257*T1^9*T2^11 - 3257*T1^10*T2^11 + 
      10222*T1^11*T2^11 - 5977*T1^12*T2^11 - 1140*T1^13*T2^11 + 
      1874*T1^14*T2^11 - 80*T1^15*T2^11 - 52*T1^16*T2^11 + 61*T1^4*T2^12 - 
      80*T1^5*T2^12 - 1573*T1^6*T2^12 + 3277*T1^7*T2^12 - 118*T1^8*T2^12 - 
      5977*T1^9*T2^12 + 7210*T1^10*T2^12 - 5977*T1^11*T2^12 - 
      118*T1^12*T2^12 + 3277*T1^13*T2^12 - 1573*T1^14*T2^12 - 
      80*T1^15*T2^12 + 61*T1^16*T2^12 - 52*T1^5*T2^13 + 206*T1^6*T2^13 + 
      577*T1^7*T2^13 - 2578*T1^8*T2^13 + 3277*T1^9*T2^13 - 1140*T1^10*T2^13 - 
      1140*T1^11*T2^13 + 3277*T1^12*T2^13 - 2578*T1^13*T2^13 + 
      577*T1^14*T2^13 + 206*T1^15*T2^13 - 52*T1^16*T2^13 + 29*T1^6*T2^14 - 
      180*T1^7*T2^14 + 142*T1^8*T2^14 + 577*T1^9*T2^14 - 1573*T1^10*T2^14 + 
      1874*T1^11*T2^14 - 1573*T1^12*T2^14 + 577*T1^13*T2^14 + 
      142*T1^14*T2^14 - 180*T1^15*T2^14 + 29*T1^16*T2^14 - 9*T1^7*T2^15 + 
      72*T1^8*T2^15 - 180*T1^9*T2^15 + 206*T1^10*T2^15 - 80*T1^11*T2^15 - 
      80*T1^12*T2^15 + 206*T1^13*T2^15 - 180*T1^14*T2^15 + 72*T1^15*T2^15 - 
      9*T1^16*T2^15 + T1^8*T2^16 - 9*T1^9*T2^16 + 29*T1^10*T2^16 - 
      52*T1^11*T2^16 + 61*T1^12*T2^16 - 52*T1^13*T2^16 + 29*T1^14*T2^16 - 
      9*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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), -((1 - 8*T1 + 25*T1^2 - 44*T1^3 + 51*T1^4 - 44*T1^5 + 25*T1^6 - 
      8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 136*T1^2*T2 + 151*T1^3*T2 - 
      55*T1^4*T2 - 55*T1^5*T2 + 151*T1^6*T2 - 136*T1^7*T2 + 56*T1^8*T2 - 
      8*T1^9*T2 + 25*T2^2 - 136*T1*T2^2 + 137*T1^2*T2^2 + 312*T1^3*T2^2 - 
      929*T1^4*T2^2 + 1069*T1^5*T2^2 - 929*T1^6*T2^2 + 312*T1^7*T2^2 + 
      137*T1^8*T2^2 - 136*T1^9*T2^2 + 25*T1^10*T2^2 - 44*T2^3 + 151*T1*T2^3 + 
      312*T1^2*T2^3 - 1582*T1^3*T2^3 + 1991*T1^4*T2^3 - 596*T1^5*T2^3 - 
      596*T1^6*T2^3 + 1991*T1^7*T2^3 - 1582*T1^8*T2^3 + 312*T1^9*T2^3 + 
      151*T1^10*T2^3 - 44*T1^11*T2^3 + 51*T2^4 - 55*T1*T2^4 - 929*T1^2*T2^4 + 
      1991*T1^3*T2^4 + 166*T1^4*T2^4 - 4132*T1^5*T2^4 + 4568*T1^6*T2^4 - 
      4132*T1^7*T2^4 + 166*T1^8*T2^4 + 1991*T1^9*T2^4 - 929*T1^10*T2^4 - 
      55*T1^11*T2^4 + 51*T1^12*T2^4 - 44*T2^5 - 55*T1*T2^5 + 1069*T1^2*T2^5 - 
      596*T1^3*T2^5 - 4132*T1^4*T2^5 + 6794*T1^5*T2^5 - 1844*T1^6*T2^5 - 
      1844*T1^7*T2^5 + 6794*T1^8*T2^5 - 4132*T1^9*T2^5 - 596*T1^10*T2^5 + 
      1069*T1^11*T2^5 - 55*T1^12*T2^5 - 44*T1^13*T2^5 + 25*T2^6 + 
      151*T1*T2^6 - 929*T1^2*T2^6 - 596*T1^3*T2^6 + 4568*T1^4*T2^6 - 
      1844*T1^5*T2^6 - 7262*T1^6*T2^6 + 8296*T1^7*T2^6 - 7262*T1^8*T2^6 - 
      1844*T1^9*T2^6 + 4568*T1^10*T2^6 - 596*T1^11*T2^6 - 929*T1^12*T2^6 + 
      151*T1^13*T2^6 + 25*T1^14*T2^6 - 8*T2^7 - 136*T1*T2^7 + 312*T1^2*T2^7 + 
      1991*T1^3*T2^7 - 4132*T1^4*T2^7 - 1844*T1^5*T2^7 + 8296*T1^6*T2^7 - 
      2392*T1^7*T2^7 - 2392*T1^8*T2^7 + 8296*T1^9*T2^7 - 1844*T1^10*T2^7 - 
      4132*T1^11*T2^7 + 1991*T1^12*T2^7 + 312*T1^13*T2^7 - 136*T1^14*T2^7 - 
      8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 137*T1^2*T2^8 - 1582*T1^3*T2^8 + 
      166*T1^4*T2^8 + 6794*T1^5*T2^8 - 7262*T1^6*T2^8 - 2392*T1^7*T2^8 + 
      3768*T1^8*T2^8 - 2392*T1^9*T2^8 - 7262*T1^10*T2^8 + 6794*T1^11*T2^8 + 
      166*T1^12*T2^8 - 1582*T1^13*T2^8 + 137*T1^14*T2^8 + 56*T1^15*T2^8 + 
      T1^16*T2^8 - 8*T1*T2^9 - 136*T1^2*T2^9 + 312*T1^3*T2^9 + 
      1991*T1^4*T2^9 - 4132*T1^5*T2^9 - 1844*T1^6*T2^9 + 8296*T1^7*T2^9 - 
      2392*T1^8*T2^9 - 2392*T1^9*T2^9 + 8296*T1^10*T2^9 - 1844*T1^11*T2^9 - 
      4132*T1^12*T2^9 + 1991*T1^13*T2^9 + 312*T1^14*T2^9 - 136*T1^15*T2^9 - 
      8*T1^16*T2^9 + 25*T1^2*T2^10 + 151*T1^3*T2^10 - 929*T1^4*T2^10 - 
      596*T1^5*T2^10 + 4568*T1^6*T2^10 - 1844*T1^7*T2^10 - 7262*T1^8*T2^10 + 
      8296*T1^9*T2^10 - 7262*T1^10*T2^10 - 1844*T1^11*T2^10 + 
      4568*T1^12*T2^10 - 596*T1^13*T2^10 - 929*T1^14*T2^10 + 
      151*T1^15*T2^10 + 25*T1^16*T2^10 - 44*T1^3*T2^11 - 55*T1^4*T2^11 + 
      1069*T1^5*T2^11 - 596*T1^6*T2^11 - 4132*T1^7*T2^11 + 6794*T1^8*T2^11 - 
      1844*T1^9*T2^11 - 1844*T1^10*T2^11 + 6794*T1^11*T2^11 - 
      4132*T1^12*T2^11 - 596*T1^13*T2^11 + 1069*T1^14*T2^11 - 
      55*T1^15*T2^11 - 44*T1^16*T2^11 + 51*T1^4*T2^12 - 55*T1^5*T2^12 - 
      929*T1^6*T2^12 + 1991*T1^7*T2^12 + 166*T1^8*T2^12 - 4132*T1^9*T2^12 + 
      4568*T1^10*T2^12 - 4132*T1^11*T2^12 + 166*T1^12*T2^12 + 
      1991*T1^13*T2^12 - 929*T1^14*T2^12 - 55*T1^15*T2^12 + 51*T1^16*T2^12 - 
      44*T1^5*T2^13 + 151*T1^6*T2^13 + 312*T1^7*T2^13 - 1582*T1^8*T2^13 + 
      1991*T1^9*T2^13 - 596*T1^10*T2^13 - 596*T1^11*T2^13 + 
      1991*T1^12*T2^13 - 1582*T1^13*T2^13 + 312*T1^14*T2^13 + 
      151*T1^15*T2^13 - 44*T1^16*T2^13 + 25*T1^6*T2^14 - 136*T1^7*T2^14 + 
      137*T1^8*T2^14 + 312*T1^9*T2^14 - 929*T1^10*T2^14 + 1069*T1^11*T2^14 - 
      929*T1^12*T2^14 + 312*T1^13*T2^14 + 137*T1^14*T2^14 - 136*T1^15*T2^14 + 
      25*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 136*T1^9*T2^15 + 
      151*T1^10*T2^15 - 55*T1^11*T2^15 - 55*T1^12*T2^15 + 151*T1^13*T2^15 - 
      136*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
      8*T1^9*T2^16 + 25*T1^10*T2^16 - 44*T1^11*T2^16 + 51*T1^12*T2^16 - 
      44*T1^13*T2^16 + 25*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 1094] -> 
  {((2 - 4*T + T^2)*(1 - T + T^2)*(1 - 4*T + 2*T^2))/T^3, 
   (9 - 64*T1 + 160*T1^2 - 205*T1^3 + 160*T1^4 - 64*T1^5 + 9*T1^6 - 64*T2 + 
     392*T1*T2 - 681*T1^2*T2 + 317*T1^3*T2 + 317*T1^4*T2 - 681*T1^5*T2 + 
     392*T1^6*T2 - 64*T1^7*T2 + 160*T2^2 - 681*T1*T2^2 - 229*T1^2*T2^2 + 
     3233*T1^3*T2^2 - 4549*T1^4*T2^2 + 3233*T1^5*T2^2 - 229*T1^6*T2^2 - 
     681*T1^7*T2^2 + 160*T1^8*T2^2 - 205*T2^3 + 317*T1*T2^3 + 
     3233*T1^2*T2^3 - 7418*T1^3*T2^3 + 3407*T1^4*T2^3 + 3407*T1^5*T2^3 - 
     7418*T1^6*T2^3 + 3233*T1^7*T2^3 + 317*T1^8*T2^3 - 205*T1^9*T2^3 + 
     160*T2^4 + 317*T1*T2^4 - 4549*T1^2*T2^4 + 3407*T1^3*T2^4 + 
     9652*T1^4*T2^4 - 15246*T1^5*T2^4 + 9652*T1^6*T2^4 + 3407*T1^7*T2^4 - 
     4549*T1^8*T2^4 + 317*T1^9*T2^4 + 160*T1^10*T2^4 - 64*T2^5 - 
     681*T1*T2^5 + 3233*T1^2*T2^5 + 3407*T1^3*T2^5 - 15246*T1^4*T2^5 + 
     7358*T1^5*T2^5 + 7358*T1^6*T2^5 - 15246*T1^7*T2^5 + 3407*T1^8*T2^5 + 
     3233*T1^9*T2^5 - 681*T1^10*T2^5 - 64*T1^11*T2^5 + 9*T2^6 + 392*T1*T2^6 - 
     229*T1^2*T2^6 - 7418*T1^3*T2^6 + 9652*T1^4*T2^6 + 7358*T1^5*T2^6 - 
     15048*T1^6*T2^6 + 7358*T1^7*T2^6 + 9652*T1^8*T2^6 - 7418*T1^9*T2^6 - 
     229*T1^10*T2^6 + 392*T1^11*T2^6 + 9*T1^12*T2^6 - 64*T1*T2^7 - 
     681*T1^2*T2^7 + 3233*T1^3*T2^7 + 3407*T1^4*T2^7 - 15246*T1^5*T2^7 + 
     7358*T1^6*T2^7 + 7358*T1^7*T2^7 - 15246*T1^8*T2^7 + 3407*T1^9*T2^7 + 
     3233*T1^10*T2^7 - 681*T1^11*T2^7 - 64*T1^12*T2^7 + 160*T1^2*T2^8 + 
     317*T1^3*T2^8 - 4549*T1^4*T2^8 + 3407*T1^5*T2^8 + 9652*T1^6*T2^8 - 
     15246*T1^7*T2^8 + 9652*T1^8*T2^8 + 3407*T1^9*T2^8 - 4549*T1^10*T2^8 + 
     317*T1^11*T2^8 + 160*T1^12*T2^8 - 205*T1^3*T2^9 + 317*T1^4*T2^9 + 
     3233*T1^5*T2^9 - 7418*T1^6*T2^9 + 3407*T1^7*T2^9 + 3407*T1^8*T2^9 - 
     7418*T1^9*T2^9 + 3233*T1^10*T2^9 + 317*T1^11*T2^9 - 205*T1^12*T2^9 + 
     160*T1^4*T2^10 - 681*T1^5*T2^10 - 229*T1^6*T2^10 + 3233*T1^7*T2^10 - 
     4549*T1^8*T2^10 + 3233*T1^9*T2^10 - 229*T1^10*T2^10 - 681*T1^11*T2^10 + 
     160*T1^12*T2^10 - 64*T1^5*T2^11 + 392*T1^6*T2^11 - 681*T1^7*T2^11 + 
     317*T1^8*T2^11 + 317*T1^9*T2^11 - 681*T1^10*T2^11 + 392*T1^11*T2^11 - 
     64*T1^12*T2^11 + 9*T1^6*T2^12 - 64*T1^7*T2^12 + 160*T1^8*T2^12 - 
     205*T1^9*T2^12 + 160*T1^10*T2^12 - 64*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 1095] -> 
  {(3 - 12*T + 22*T^2 - 25*T^3 + 22*T^4 - 12*T^5 + 3*T^6)/T^3, 
   -((18 - 72*T1 + 130*T1^2 - 148*T1^3 + 130*T1^4 - 72*T1^5 + 18*T1^6 - 
      72*T2 + 216*T1*T2 - 232*T1^2*T2 + 72*T1^3*T2 + 72*T1^4*T2 - 
      232*T1^5*T2 + 216*T1^6*T2 - 72*T1^7*T2 + 130*T2^2 - 232*T1*T2^2 - 
      126*T1^2*T2^2 + 627*T1^3*T2^2 - 702*T1^4*T2^2 + 627*T1^5*T2^2 - 
      126*T1^6*T2^2 - 232*T1^7*T2^2 + 130*T1^8*T2^2 - 148*T2^3 + 72*T1*T2^3 + 
      627*T1^2*T2^3 - 916*T1^3*T2^3 + 296*T1^4*T2^3 + 296*T1^5*T2^3 - 
      916*T1^6*T2^3 + 627*T1^7*T2^3 + 72*T1^8*T2^3 - 148*T1^9*T2^3 + 
      130*T2^4 + 72*T1*T2^4 - 702*T1^2*T2^4 + 296*T1^3*T2^4 + 881*T1^4*T2^4 - 
      1289*T1^5*T2^4 + 881*T1^6*T2^4 + 296*T1^7*T2^4 - 702*T1^8*T2^4 + 
      72*T1^9*T2^4 + 130*T1^10*T2^4 - 72*T2^5 - 232*T1*T2^5 + 627*T1^2*T2^5 + 
      296*T1^3*T2^5 - 1289*T1^4*T2^5 + 722*T1^5*T2^5 + 722*T1^6*T2^5 - 
      1289*T1^7*T2^5 + 296*T1^8*T2^5 + 627*T1^9*T2^5 - 232*T1^10*T2^5 - 
      72*T1^11*T2^5 + 18*T2^6 + 216*T1*T2^6 - 126*T1^2*T2^6 - 916*T1^3*T2^6 + 
      881*T1^4*T2^6 + 722*T1^5*T2^6 - 1788*T1^6*T2^6 + 722*T1^7*T2^6 + 
      881*T1^8*T2^6 - 916*T1^9*T2^6 - 126*T1^10*T2^6 + 216*T1^11*T2^6 + 
      18*T1^12*T2^6 - 72*T1*T2^7 - 232*T1^2*T2^7 + 627*T1^3*T2^7 + 
      296*T1^4*T2^7 - 1289*T1^5*T2^7 + 722*T1^6*T2^7 + 722*T1^7*T2^7 - 
      1289*T1^8*T2^7 + 296*T1^9*T2^7 + 627*T1^10*T2^7 - 232*T1^11*T2^7 - 
      72*T1^12*T2^7 + 130*T1^2*T2^8 + 72*T1^3*T2^8 - 702*T1^4*T2^8 + 
      296*T1^5*T2^8 + 881*T1^6*T2^8 - 1289*T1^7*T2^8 + 881*T1^8*T2^8 + 
      296*T1^9*T2^8 - 702*T1^10*T2^8 + 72*T1^11*T2^8 + 130*T1^12*T2^8 - 
      148*T1^3*T2^9 + 72*T1^4*T2^9 + 627*T1^5*T2^9 - 916*T1^6*T2^9 + 
      296*T1^7*T2^9 + 296*T1^8*T2^9 - 916*T1^9*T2^9 + 627*T1^10*T2^9 + 
      72*T1^11*T2^9 - 148*T1^12*T2^9 + 130*T1^4*T2^10 - 232*T1^5*T2^10 - 
      126*T1^6*T2^10 + 627*T1^7*T2^10 - 702*T1^8*T2^10 + 627*T1^9*T2^10 - 
      126*T1^10*T2^10 - 232*T1^11*T2^10 + 130*T1^12*T2^10 - 72*T1^5*T2^11 + 
      216*T1^6*T2^11 - 232*T1^7*T2^11 + 72*T1^8*T2^11 + 72*T1^9*T2^11 - 
      232*T1^10*T2^11 + 216*T1^11*T2^11 - 72*T1^12*T2^11 + 18*T1^6*T2^12 - 
      72*T1^7*T2^12 + 130*T1^8*T2^12 - 148*T1^9*T2^12 + 130*T1^10*T2^12 - 
      72*T1^11*T2^12 + 18*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), (1 - 8*T1 + 29*T1^2 - 60*T1^3 + 75*T1^4 - 60*T1^5 + 29*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 168*T1^2*T2 + 247*T1^3*T2 - 
     119*T1^4*T2 - 119*T1^5*T2 + 247*T1^6*T2 - 168*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 29*T2^2 - 168*T1*T2^2 + 363*T1^2*T2^2 - 133*T1^3*T2^2 - 
     773*T1^4*T2^2 + 1247*T1^5*T2^2 - 773*T1^6*T2^2 - 133*T1^7*T2^2 + 
     363*T1^8*T2^2 - 168*T1^9*T2^2 + 29*T1^10*T2^2 - 60*T2^3 + 247*T1*T2^3 - 
     133*T1^2*T2^3 - 1284*T1^3*T2^3 + 3046*T1^4*T2^3 - 1554*T1^5*T2^3 - 
     1554*T1^6*T2^3 + 3046*T1^7*T2^3 - 1284*T1^8*T2^3 - 133*T1^9*T2^3 + 
     247*T1^10*T2^3 - 60*T1^11*T2^3 + 75*T2^4 - 119*T1*T2^4 - 773*T1^2*T2^4 + 
     3046*T1^3*T2^4 - 2260*T1^4*T2^4 - 5644*T1^5*T2^4 + 9742*T1^6*T2^4 - 
     5644*T1^7*T2^4 - 2260*T1^8*T2^4 + 3046*T1^9*T2^4 - 773*T1^10*T2^4 - 
     119*T1^11*T2^4 + 75*T1^12*T2^4 - 60*T2^5 - 119*T1*T2^5 + 
     1247*T1^2*T2^5 - 1554*T1^3*T2^5 - 5644*T1^4*T2^5 + 16384*T1^5*T2^5 - 
     8454*T1^6*T2^5 - 8454*T1^7*T2^5 + 16384*T1^8*T2^5 - 5644*T1^9*T2^5 - 
     1554*T1^10*T2^5 + 1247*T1^11*T2^5 - 119*T1^12*T2^5 - 60*T1^13*T2^5 + 
     29*T2^6 + 247*T1*T2^6 - 773*T1^2*T2^6 - 1554*T1^3*T2^6 + 
     9742*T1^4*T2^6 - 8454*T1^5*T2^6 - 18838*T1^6*T2^6 + 33050*T1^7*T2^6 - 
     18838*T1^8*T2^6 - 8454*T1^9*T2^6 + 9742*T1^10*T2^6 - 1554*T1^11*T2^6 - 
     773*T1^12*T2^6 + 247*T1^13*T2^6 + 29*T1^14*T2^6 - 8*T2^7 - 168*T1*T2^7 - 
     133*T1^2*T2^7 + 3046*T1^3*T2^7 - 5644*T1^4*T2^7 - 8454*T1^5*T2^7 + 
     33050*T1^6*T2^7 - 17526*T1^7*T2^7 - 17526*T1^8*T2^7 + 33050*T1^9*T2^7 - 
     8454*T1^10*T2^7 - 5644*T1^11*T2^7 + 3046*T1^12*T2^7 - 133*T1^13*T2^7 - 
     168*T1^14*T2^7 - 8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 363*T1^2*T2^8 - 
     1284*T1^3*T2^8 - 2260*T1^4*T2^8 + 16384*T1^5*T2^8 - 18838*T1^6*T2^8 - 
     17526*T1^7*T2^8 + 37032*T1^8*T2^8 - 17526*T1^9*T2^8 - 18838*T1^10*T2^8 + 
     16384*T1^11*T2^8 - 2260*T1^12*T2^8 - 1284*T1^13*T2^8 + 363*T1^14*T2^8 + 
     56*T1^15*T2^8 + T1^16*T2^8 - 8*T1*T2^9 - 168*T1^2*T2^9 - 133*T1^3*T2^9 + 
     3046*T1^4*T2^9 - 5644*T1^5*T2^9 - 8454*T1^6*T2^9 + 33050*T1^7*T2^9 - 
     17526*T1^8*T2^9 - 17526*T1^9*T2^9 + 33050*T1^10*T2^9 - 8454*T1^11*T2^9 - 
     5644*T1^12*T2^9 + 3046*T1^13*T2^9 - 133*T1^14*T2^9 - 168*T1^15*T2^9 - 
     8*T1^16*T2^9 + 29*T1^2*T2^10 + 247*T1^3*T2^10 - 773*T1^4*T2^10 - 
     1554*T1^5*T2^10 + 9742*T1^6*T2^10 - 8454*T1^7*T2^10 - 18838*T1^8*T2^10 + 
     33050*T1^9*T2^10 - 18838*T1^10*T2^10 - 8454*T1^11*T2^10 + 
     9742*T1^12*T2^10 - 1554*T1^13*T2^10 - 773*T1^14*T2^10 + 
     247*T1^15*T2^10 + 29*T1^16*T2^10 - 60*T1^3*T2^11 - 119*T1^4*T2^11 + 
     1247*T1^5*T2^11 - 1554*T1^6*T2^11 - 5644*T1^7*T2^11 + 16384*T1^8*T2^11 - 
     8454*T1^9*T2^11 - 8454*T1^10*T2^11 + 16384*T1^11*T2^11 - 
     5644*T1^12*T2^11 - 1554*T1^13*T2^11 + 1247*T1^14*T2^11 - 
     119*T1^15*T2^11 - 60*T1^16*T2^11 + 75*T1^4*T2^12 - 119*T1^5*T2^12 - 
     773*T1^6*T2^12 + 3046*T1^7*T2^12 - 2260*T1^8*T2^12 - 5644*T1^9*T2^12 + 
     9742*T1^10*T2^12 - 5644*T1^11*T2^12 - 2260*T1^12*T2^12 + 
     3046*T1^13*T2^12 - 773*T1^14*T2^12 - 119*T1^15*T2^12 + 75*T1^16*T2^12 - 
     60*T1^5*T2^13 + 247*T1^6*T2^13 - 133*T1^7*T2^13 - 1284*T1^8*T2^13 + 
     3046*T1^9*T2^13 - 1554*T1^10*T2^13 - 1554*T1^11*T2^13 + 
     3046*T1^12*T2^13 - 1284*T1^13*T2^13 - 133*T1^14*T2^13 + 
     247*T1^15*T2^13 - 60*T1^16*T2^13 + 29*T1^6*T2^14 - 168*T1^7*T2^14 + 
     363*T1^8*T2^14 - 133*T1^9*T2^14 - 773*T1^10*T2^14 + 1247*T1^11*T2^14 - 
     773*T1^12*T2^14 - 133*T1^13*T2^14 + 363*T1^14*T2^14 - 168*T1^15*T2^14 + 
     29*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 168*T1^9*T2^15 + 
     247*T1^10*T2^15 - 119*T1^11*T2^15 - 119*T1^12*T2^15 + 247*T1^13*T2^15 - 
     168*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
     8*T1^9*T2^16 + 29*T1^10*T2^16 - 60*T1^11*T2^16 + 75*T1^12*T2^16 - 
     60*T1^13*T2^16 + 29*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 1097] -> 
  {((2 - 3*T + 2*T^2)*(8 - 15*T + 8*T^2))/T^2, 
   (9840 - 32586*T1 + 46242*T1^2 - 32586*T1^3 + 9840*T1^4 - 32586*T2 + 
     75592*T1*T2 - 45440*T1^2*T2 - 45440*T1^3*T2 + 75592*T1^4*T2 - 
     32586*T1^5*T2 + 46242*T2^2 - 45440*T1*T2^2 - 96135*T1^2*T2^2 + 
     205337*T1^3*T2^2 - 96135*T1^4*T2^2 - 45440*T1^5*T2^2 + 46242*T1^6*T2^2 - 
     32586*T2^3 - 45440*T1*T2^3 + 205337*T1^2*T2^3 - 140718*T1^3*T2^3 - 
     140718*T1^4*T2^3 + 205337*T1^5*T2^3 - 45440*T1^6*T2^3 - 
     32586*T1^7*T2^3 + 9840*T2^4 + 75592*T1*T2^4 - 96135*T1^2*T2^4 - 
     140718*T1^3*T2^4 + 335364*T1^4*T2^4 - 140718*T1^5*T2^4 - 
     96135*T1^6*T2^4 + 75592*T1^7*T2^4 + 9840*T1^8*T2^4 - 32586*T1*T2^5 - 
     45440*T1^2*T2^5 + 205337*T1^3*T2^5 - 140718*T1^4*T2^5 - 
     140718*T1^5*T2^5 + 205337*T1^6*T2^5 - 45440*T1^7*T2^5 - 
     32586*T1^8*T2^5 + 46242*T1^2*T2^6 - 45440*T1^3*T2^6 - 96135*T1^4*T2^6 + 
     205337*T1^5*T2^6 - 96135*T1^6*T2^6 - 45440*T1^7*T2^6 + 46242*T1^8*T2^6 - 
     32586*T1^3*T2^7 + 75592*T1^4*T2^7 - 45440*T1^5*T2^7 - 45440*T1^6*T2^7 + 
     75592*T1^7*T2^7 - 32586*T1^8*T2^7 + 9840*T1^4*T2^8 - 32586*T1^5*T2^8 + 
     46242*T1^6*T2^8 - 32586*T1^7*T2^8 + 9840*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, Alternating, 1098] -> 
  {-((5 - 29*T + 68*T^2 - 89*T^3 + 68*T^4 - 29*T^5 + 5*T^6)/T^3), 
   -((270 - 1530*T1 + 3525*T1^2 - 4592*T1^3 + 3525*T1^4 - 1530*T1^5 + 
      270*T1^6 - 1530*T2 + 7156*T1*T2 - 11364*T1^2*T2 + 6082*T1^3*T2 + 
      6082*T1^4*T2 - 11364*T1^5*T2 + 7156*T1^6*T2 - 1530*T1^7*T2 + 
      3525*T2^2 - 11364*T1*T2^2 + 728*T1^2*T2^2 + 33027*T1^3*T2^2 - 
      55238*T1^4*T2^2 + 33027*T1^5*T2^2 + 728*T1^6*T2^2 - 11364*T1^7*T2^2 + 
      3525*T1^8*T2^2 - 4592*T2^3 + 6082*T1*T2^3 + 33027*T1^2*T2^3 - 
      74860*T1^3*T2^3 + 45452*T1^4*T2^3 + 45452*T1^5*T2^3 - 74860*T1^6*T2^3 + 
      33027*T1^7*T2^3 + 6082*T1^8*T2^3 - 4592*T1^9*T2^3 + 3525*T2^4 + 
      6082*T1*T2^4 - 55238*T1^2*T2^4 + 45452*T1^3*T2^4 + 64341*T1^4*T2^4 - 
      149403*T1^5*T2^4 + 64341*T1^6*T2^4 + 45452*T1^7*T2^4 - 
      55238*T1^8*T2^4 + 6082*T1^9*T2^4 + 3525*T1^10*T2^4 - 1530*T2^5 - 
      11364*T1*T2^5 + 33027*T1^2*T2^5 + 45452*T1^3*T2^5 - 149403*T1^4*T2^5 + 
      99754*T1^5*T2^5 + 99754*T1^6*T2^5 - 149403*T1^7*T2^5 + 
      45452*T1^8*T2^5 + 33027*T1^9*T2^5 - 11364*T1^10*T2^5 - 
      1530*T1^11*T2^5 + 270*T2^6 + 7156*T1*T2^6 + 728*T1^2*T2^6 - 
      74860*T1^3*T2^6 + 64341*T1^4*T2^6 + 99754*T1^5*T2^6 - 
      231240*T1^6*T2^6 + 99754*T1^7*T2^6 + 64341*T1^8*T2^6 - 
      74860*T1^9*T2^6 + 728*T1^10*T2^6 + 7156*T1^11*T2^6 + 270*T1^12*T2^6 - 
      1530*T1*T2^7 - 11364*T1^2*T2^7 + 33027*T1^3*T2^7 + 45452*T1^4*T2^7 - 
      149403*T1^5*T2^7 + 99754*T1^6*T2^7 + 99754*T1^7*T2^7 - 
      149403*T1^8*T2^7 + 45452*T1^9*T2^7 + 33027*T1^10*T2^7 - 
      11364*T1^11*T2^7 - 1530*T1^12*T2^7 + 3525*T1^2*T2^8 + 6082*T1^3*T2^8 - 
      55238*T1^4*T2^8 + 45452*T1^5*T2^8 + 64341*T1^6*T2^8 - 
      149403*T1^7*T2^8 + 64341*T1^8*T2^8 + 45452*T1^9*T2^8 - 
      55238*T1^10*T2^8 + 6082*T1^11*T2^8 + 3525*T1^12*T2^8 - 4592*T1^3*T2^9 + 
      6082*T1^4*T2^9 + 33027*T1^5*T2^9 - 74860*T1^6*T2^9 + 45452*T1^7*T2^9 + 
      45452*T1^8*T2^9 - 74860*T1^9*T2^9 + 33027*T1^10*T2^9 + 
      6082*T1^11*T2^9 - 4592*T1^12*T2^9 + 3525*T1^4*T2^10 - 
      11364*T1^5*T2^10 + 728*T1^6*T2^10 + 33027*T1^7*T2^10 - 
      55238*T1^8*T2^10 + 33027*T1^9*T2^10 + 728*T1^10*T2^10 - 
      11364*T1^11*T2^10 + 3525*T1^12*T2^10 - 1530*T1^5*T2^11 + 
      7156*T1^6*T2^11 - 11364*T1^7*T2^11 + 6082*T1^8*T2^11 + 
      6082*T1^9*T2^11 - 11364*T1^10*T2^11 + 7156*T1^11*T2^11 - 
      1530*T1^12*T2^11 + 270*T1^6*T2^12 - 1530*T1^7*T2^12 + 3525*T1^8*T2^12 - 
      4592*T1^9*T2^12 + 3525*T1^10*T2^12 - 1530*T1^11*T2^12 + 
      270*T1^12*T2^12)/(T1^6*T2^6))}, 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, -((17 - 84*T1 + 225*T1^2 - 364*T1^3 + 421*T1^4 - 364*T1^5 + 
      225*T1^6 - 84*T1^7 + 17*T1^8 - 84*T2 + 332*T1*T2 - 699*T1^2*T2 + 
      690*T1^3*T2 - 283*T1^4*T2 - 283*T1^5*T2 + 690*T1^6*T2 - 699*T1^7*T2 + 
      332*T1^8*T2 - 84*T1^9*T2 + 225*T2^2 - 699*T1*T2^2 + 1135*T1^2*T2^2 - 
      350*T1^3*T2^2 - 540*T1^4*T2^2 + 899*T1^5*T2^2 - 540*T1^6*T2^2 - 
      350*T1^7*T2^2 + 1135*T1^8*T2^2 - 699*T1^9*T2^2 + 225*T1^10*T2^2 - 
      364*T2^3 + 690*T1*T2^3 - 350*T1^2*T2^3 - 2064*T1^3*T2^3 + 
      2330*T1^4*T2^3 - 963*T1^5*T2^3 - 963*T1^6*T2^3 + 2330*T1^7*T2^3 - 
      2064*T1^8*T2^3 - 350*T1^9*T2^3 + 690*T1^10*T2^3 - 364*T1^11*T2^3 + 
      421*T2^4 - 283*T1*T2^4 - 540*T1^2*T2^4 + 2330*T1^3*T2^4 + 
      2299*T1^4*T2^4 - 6744*T1^5*T2^4 + 8473*T1^6*T2^4 - 6744*T1^7*T2^4 + 
      2299*T1^8*T2^4 + 2330*T1^9*T2^4 - 540*T1^10*T2^4 - 283*T1^11*T2^4 + 
      421*T1^12*T2^4 - 364*T2^5 - 283*T1*T2^5 + 899*T1^2*T2^5 - 
      963*T1^3*T2^5 - 6744*T1^4*T2^5 + 7258*T1^5*T2^5 - 2987*T1^6*T2^5 - 
      2987*T1^7*T2^5 + 7258*T1^8*T2^5 - 6744*T1^9*T2^5 - 963*T1^10*T2^5 + 
      899*T1^11*T2^5 - 283*T1^12*T2^5 - 364*T1^13*T2^5 + 225*T2^6 + 
      690*T1*T2^6 - 540*T1^2*T2^6 - 963*T1^3*T2^6 + 8473*T1^4*T2^6 - 
      2987*T1^5*T2^6 - 2331*T1^6*T2^6 + 4439*T1^7*T2^6 - 2331*T1^8*T2^6 - 
      2987*T1^9*T2^6 + 8473*T1^10*T2^6 - 963*T1^11*T2^6 - 540*T1^12*T2^6 + 
      690*T1^13*T2^6 + 225*T1^14*T2^6 - 84*T2^7 - 699*T1*T2^7 - 
      350*T1^2*T2^7 + 2330*T1^3*T2^7 - 6744*T1^4*T2^7 - 2987*T1^5*T2^7 + 
      4439*T1^6*T2^7 - 1938*T1^7*T2^7 - 1938*T1^8*T2^7 + 4439*T1^9*T2^7 - 
      2987*T1^10*T2^7 - 6744*T1^11*T2^7 + 2330*T1^12*T2^7 - 350*T1^13*T2^7 - 
      699*T1^14*T2^7 - 84*T1^15*T2^7 + 17*T2^8 + 332*T1*T2^8 + 
      1135*T1^2*T2^8 - 2064*T1^3*T2^8 + 2299*T1^4*T2^8 + 7258*T1^5*T2^8 - 
      2331*T1^6*T2^8 - 1938*T1^7*T2^8 + 3588*T1^8*T2^8 - 1938*T1^9*T2^8 - 
      2331*T1^10*T2^8 + 7258*T1^11*T2^8 + 2299*T1^12*T2^8 - 2064*T1^13*T2^8 + 
      1135*T1^14*T2^8 + 332*T1^15*T2^8 + 17*T1^16*T2^8 - 84*T1*T2^9 - 
      699*T1^2*T2^9 - 350*T1^3*T2^9 + 2330*T1^4*T2^9 - 6744*T1^5*T2^9 - 
      2987*T1^6*T2^9 + 4439*T1^7*T2^9 - 1938*T1^8*T2^9 - 1938*T1^9*T2^9 + 
      4439*T1^10*T2^9 - 2987*T1^11*T2^9 - 6744*T1^12*T2^9 + 2330*T1^13*T2^9 - 
      350*T1^14*T2^9 - 699*T1^15*T2^9 - 84*T1^16*T2^9 + 225*T1^2*T2^10 + 
      690*T1^3*T2^10 - 540*T1^4*T2^10 - 963*T1^5*T2^10 + 8473*T1^6*T2^10 - 
      2987*T1^7*T2^10 - 2331*T1^8*T2^10 + 4439*T1^9*T2^10 - 
      2331*T1^10*T2^10 - 2987*T1^11*T2^10 + 8473*T1^12*T2^10 - 
      963*T1^13*T2^10 - 540*T1^14*T2^10 + 690*T1^15*T2^10 + 225*T1^16*T2^10 - 
      364*T1^3*T2^11 - 283*T1^4*T2^11 + 899*T1^5*T2^11 - 963*T1^6*T2^11 - 
      6744*T1^7*T2^11 + 7258*T1^8*T2^11 - 2987*T1^9*T2^11 - 
      2987*T1^10*T2^11 + 7258*T1^11*T2^11 - 6744*T1^12*T2^11 - 
      963*T1^13*T2^11 + 899*T1^14*T2^11 - 283*T1^15*T2^11 - 364*T1^16*T2^11 + 
      421*T1^4*T2^12 - 283*T1^5*T2^12 - 540*T1^6*T2^12 + 2330*T1^7*T2^12 + 
      2299*T1^8*T2^12 - 6744*T1^9*T2^12 + 8473*T1^10*T2^12 - 
      6744*T1^11*T2^12 + 2299*T1^12*T2^12 + 2330*T1^13*T2^12 - 
      540*T1^14*T2^12 - 283*T1^15*T2^12 + 421*T1^16*T2^12 - 364*T1^5*T2^13 + 
      690*T1^6*T2^13 - 350*T1^7*T2^13 - 2064*T1^8*T2^13 + 2330*T1^9*T2^13 - 
      963*T1^10*T2^13 - 963*T1^11*T2^13 + 2330*T1^12*T2^13 - 
      2064*T1^13*T2^13 - 350*T1^14*T2^13 + 690*T1^15*T2^13 - 
      364*T1^16*T2^13 + 225*T1^6*T2^14 - 699*T1^7*T2^14 + 1135*T1^8*T2^14 - 
      350*T1^9*T2^14 - 540*T1^10*T2^14 + 899*T1^11*T2^14 - 540*T1^12*T2^14 - 
      350*T1^13*T2^14 + 1135*T1^14*T2^14 - 699*T1^15*T2^14 + 
      225*T1^16*T2^14 - 84*T1^7*T2^15 + 332*T1^8*T2^15 - 699*T1^9*T2^15 + 
      690*T1^10*T2^15 - 283*T1^11*T2^15 - 283*T1^12*T2^15 + 690*T1^13*T2^15 - 
      699*T1^14*T2^15 + 332*T1^15*T2^15 - 84*T1^16*T2^15 + 17*T1^8*T2^16 - 
      84*T1^9*T2^16 + 225*T1^10*T2^16 - 364*T1^11*T2^16 + 421*T1^12*T2^16 - 
      364*T1^13*T2^16 + 225*T1^14*T2^16 - 84*T1^15*T2^16 + 17*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 1100] -> 
  {((1 - T + T^2)^2*(2 - 7*T + 11*T^2 - 7*T^3 + 2*T^4))/T^4, 
   -((1 - 4*T1 + 10*T1^2 - 16*T1^3 + 19*T1^4 - 16*T1^5 + 10*T1^6 - 4*T1^7 + 
      T1^8 - 4*T2 + 10*T1*T2 - 18*T1^2*T2 + 16*T1^3*T2 - 8*T1^4*T2 - 
      8*T1^5*T2 + 16*T1^6*T2 - 18*T1^7*T2 + 10*T1^8*T2 - 4*T1^9*T2 + 
      10*T2^2 - 18*T1*T2^2 + 49*T1^2*T2^2 - 106*T1^3*T2^2 + 216*T1^4*T2^2 - 
      263*T1^5*T2^2 + 216*T1^6*T2^2 - 106*T1^7*T2^2 + 49*T1^8*T2^2 - 
      18*T1^9*T2^2 + 10*T1^10*T2^2 - 16*T2^3 + 16*T1*T2^3 - 106*T1^2*T2^3 + 
      276*T1^3*T2^3 - 474*T1^4*T2^3 + 228*T1^5*T2^3 + 228*T1^6*T2^3 - 
      474*T1^7*T2^3 + 276*T1^8*T2^3 - 106*T1^9*T2^3 + 16*T1^10*T2^3 - 
      16*T1^11*T2^3 + 19*T2^4 - 8*T1*T2^4 + 216*T1^2*T2^4 - 474*T1^3*T2^4 + 
      565*T1^4*T2^4 + 309*T1^5*T2^4 - 763*T1^6*T2^4 + 309*T1^7*T2^4 + 
      565*T1^8*T2^4 - 474*T1^9*T2^4 + 216*T1^10*T2^4 - 8*T1^11*T2^4 + 
      19*T1^12*T2^4 - 16*T2^5 - 8*T1*T2^5 - 263*T1^2*T2^5 + 228*T1^3*T2^5 + 
      309*T1^4*T2^5 - 1802*T1^5*T2^5 + 927*T1^6*T2^5 + 927*T1^7*T2^5 - 
      1802*T1^8*T2^5 + 309*T1^9*T2^5 + 228*T1^10*T2^5 - 263*T1^11*T2^5 - 
      8*T1^12*T2^5 - 16*T1^13*T2^5 + 10*T2^6 + 16*T1*T2^6 + 216*T1^2*T2^6 + 
      228*T1^3*T2^6 - 763*T1^4*T2^6 + 927*T1^5*T2^6 + 2968*T1^6*T2^6 - 
      4764*T1^7*T2^6 + 2968*T1^8*T2^6 + 927*T1^9*T2^6 - 763*T1^10*T2^6 + 
      228*T1^11*T2^6 + 216*T1^12*T2^6 + 16*T1^13*T2^6 + 10*T1^14*T2^6 - 
      4*T2^7 - 18*T1*T2^7 - 106*T1^2*T2^7 - 474*T1^3*T2^7 + 309*T1^4*T2^7 + 
      927*T1^5*T2^7 - 4764*T1^6*T2^7 + 2312*T1^7*T2^7 + 2312*T1^8*T2^7 - 
      4764*T1^9*T2^7 + 927*T1^10*T2^7 + 309*T1^11*T2^7 - 474*T1^12*T2^7 - 
      106*T1^13*T2^7 - 18*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 10*T1*T2^8 + 
      49*T1^2*T2^8 + 276*T1^3*T2^8 + 565*T1^4*T2^8 - 1802*T1^5*T2^8 + 
      2968*T1^6*T2^8 + 2312*T1^7*T2^8 - 4608*T1^8*T2^8 + 2312*T1^9*T2^8 + 
      2968*T1^10*T2^8 - 1802*T1^11*T2^8 + 565*T1^12*T2^8 + 276*T1^13*T2^8 + 
      49*T1^14*T2^8 + 10*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 18*T1^2*T2^9 - 
      106*T1^3*T2^9 - 474*T1^4*T2^9 + 309*T1^5*T2^9 + 927*T1^6*T2^9 - 
      4764*T1^7*T2^9 + 2312*T1^8*T2^9 + 2312*T1^9*T2^9 - 4764*T1^10*T2^9 + 
      927*T1^11*T2^9 + 309*T1^12*T2^9 - 474*T1^13*T2^9 - 106*T1^14*T2^9 - 
      18*T1^15*T2^9 - 4*T1^16*T2^9 + 10*T1^2*T2^10 + 16*T1^3*T2^10 + 
      216*T1^4*T2^10 + 228*T1^5*T2^10 - 763*T1^6*T2^10 + 927*T1^7*T2^10 + 
      2968*T1^8*T2^10 - 4764*T1^9*T2^10 + 2968*T1^10*T2^10 + 
      927*T1^11*T2^10 - 763*T1^12*T2^10 + 228*T1^13*T2^10 + 216*T1^14*T2^10 + 
      16*T1^15*T2^10 + 10*T1^16*T2^10 - 16*T1^3*T2^11 - 8*T1^4*T2^11 - 
      263*T1^5*T2^11 + 228*T1^6*T2^11 + 309*T1^7*T2^11 - 1802*T1^8*T2^11 + 
      927*T1^9*T2^11 + 927*T1^10*T2^11 - 1802*T1^11*T2^11 + 309*T1^12*T2^11 + 
      228*T1^13*T2^11 - 263*T1^14*T2^11 - 8*T1^15*T2^11 - 16*T1^16*T2^11 + 
      19*T1^4*T2^12 - 8*T1^5*T2^12 + 216*T1^6*T2^12 - 474*T1^7*T2^12 + 
      565*T1^8*T2^12 + 309*T1^9*T2^12 - 763*T1^10*T2^12 + 309*T1^11*T2^12 + 
      565*T1^12*T2^12 - 474*T1^13*T2^12 + 216*T1^14*T2^12 - 8*T1^15*T2^12 + 
      19*T1^16*T2^12 - 16*T1^5*T2^13 + 16*T1^6*T2^13 - 106*T1^7*T2^13 + 
      276*T1^8*T2^13 - 474*T1^9*T2^13 + 228*T1^10*T2^13 + 228*T1^11*T2^13 - 
      474*T1^12*T2^13 + 276*T1^13*T2^13 - 106*T1^14*T2^13 + 16*T1^15*T2^13 - 
      16*T1^16*T2^13 + 10*T1^6*T2^14 - 18*T1^7*T2^14 + 49*T1^8*T2^14 - 
      106*T1^9*T2^14 + 216*T1^10*T2^14 - 263*T1^11*T2^14 + 216*T1^12*T2^14 - 
      106*T1^13*T2^14 + 49*T1^14*T2^14 - 18*T1^15*T2^14 + 10*T1^16*T2^14 - 
      4*T1^7*T2^15 + 10*T1^8*T2^15 - 18*T1^9*T2^15 + 16*T1^10*T2^15 - 
      8*T1^11*T2^15 - 8*T1^12*T2^15 + 16*T1^13*T2^15 - 18*T1^14*T2^15 + 
      10*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 
      10*T1^10*T2^16 - 16*T1^11*T2^16 + 19*T1^12*T2^16 - 16*T1^13*T2^16 + 
      10*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, -((17 - 92*T1 + 249*T1^2 - 396*T1^3 + 453*T1^4 - 396*T1^5 + 
      249*T1^6 - 92*T1^7 + 17*T1^8 - 92*T2 + 406*T1*T2 - 849*T1^2*T2 + 
      795*T1^3*T2 - 308*T1^4*T2 - 308*T1^5*T2 + 795*T1^6*T2 - 849*T1^7*T2 + 
      406*T1^8*T2 - 92*T1^9*T2 + 249*T2^2 - 849*T1*T2^2 + 1171*T1^2*T2^2 + 
      259*T1^3*T2^2 - 1571*T1^4*T2^2 + 1987*T1^5*T2^2 - 1571*T1^6*T2^2 + 
      259*T1^7*T2^2 + 1171*T1^8*T2^2 - 849*T1^9*T2^2 + 249*T1^10*T2^2 - 
      396*T2^3 + 795*T1*T2^3 + 259*T1^2*T2^3 - 3940*T1^3*T2^3 + 
      3787*T1^4*T2^3 - 1350*T1^5*T2^3 - 1350*T1^6*T2^3 + 3787*T1^7*T2^3 - 
      3940*T1^8*T2^3 + 259*T1^9*T2^3 + 795*T1^10*T2^3 - 396*T1^11*T2^3 + 
      453*T2^4 - 308*T1*T2^4 - 1571*T1^2*T2^4 + 3787*T1^3*T2^4 + 
      3705*T1^4*T2^4 - 9721*T1^5*T2^4 + 11351*T1^6*T2^4 - 9721*T1^7*T2^4 + 
      3705*T1^8*T2^4 + 3787*T1^9*T2^4 - 1571*T1^10*T2^4 - 308*T1^11*T2^4 + 
      453*T1^12*T2^4 - 396*T2^5 - 308*T1*T2^5 + 1987*T1^2*T2^5 - 
      1350*T1^3*T2^5 - 9721*T1^4*T2^5 + 9142*T1^5*T2^5 - 3060*T1^6*T2^5 - 
      3060*T1^7*T2^5 + 9142*T1^8*T2^5 - 9721*T1^9*T2^5 - 1350*T1^10*T2^5 + 
      1987*T1^11*T2^5 - 308*T1^12*T2^5 - 396*T1^13*T2^5 + 249*T2^6 + 
      795*T1*T2^6 - 1571*T1^2*T2^6 - 1350*T1^3*T2^6 + 11351*T1^4*T2^6 - 
      3060*T1^5*T2^6 - 2764*T1^6*T2^6 + 3696*T1^7*T2^6 - 2764*T1^8*T2^6 - 
      3060*T1^9*T2^6 + 11351*T1^10*T2^6 - 1350*T1^11*T2^6 - 1571*T1^12*T2^6 + 
      795*T1^13*T2^6 + 249*T1^14*T2^6 - 92*T2^7 - 849*T1*T2^7 + 
      259*T1^2*T2^7 + 3787*T1^3*T2^7 - 9721*T1^4*T2^7 - 3060*T1^5*T2^7 + 
      3696*T1^6*T2^7 - 876*T1^7*T2^7 - 876*T1^8*T2^7 + 3696*T1^9*T2^7 - 
      3060*T1^10*T2^7 - 9721*T1^11*T2^7 + 3787*T1^12*T2^7 + 259*T1^13*T2^7 - 
      849*T1^14*T2^7 - 92*T1^15*T2^7 + 17*T2^8 + 406*T1*T2^8 + 
      1171*T1^2*T2^8 - 3940*T1^3*T2^8 + 3705*T1^4*T2^8 + 9142*T1^5*T2^8 - 
      2764*T1^6*T2^8 - 876*T1^7*T2^8 + 996*T1^8*T2^8 - 876*T1^9*T2^8 - 
      2764*T1^10*T2^8 + 9142*T1^11*T2^8 + 3705*T1^12*T2^8 - 3940*T1^13*T2^8 + 
      1171*T1^14*T2^8 + 406*T1^15*T2^8 + 17*T1^16*T2^8 - 92*T1*T2^9 - 
      849*T1^2*T2^9 + 259*T1^3*T2^9 + 3787*T1^4*T2^9 - 9721*T1^5*T2^9 - 
      3060*T1^6*T2^9 + 3696*T1^7*T2^9 - 876*T1^8*T2^9 - 876*T1^9*T2^9 + 
      3696*T1^10*T2^9 - 3060*T1^11*T2^9 - 9721*T1^12*T2^9 + 3787*T1^13*T2^9 + 
      259*T1^14*T2^9 - 849*T1^15*T2^9 - 92*T1^16*T2^9 + 249*T1^2*T2^10 + 
      795*T1^3*T2^10 - 1571*T1^4*T2^10 - 1350*T1^5*T2^10 + 11351*T1^6*T2^10 - 
      3060*T1^7*T2^10 - 2764*T1^8*T2^10 + 3696*T1^9*T2^10 - 
      2764*T1^10*T2^10 - 3060*T1^11*T2^10 + 11351*T1^12*T2^10 - 
      1350*T1^13*T2^10 - 1571*T1^14*T2^10 + 795*T1^15*T2^10 + 
      249*T1^16*T2^10 - 396*T1^3*T2^11 - 308*T1^4*T2^11 + 1987*T1^5*T2^11 - 
      1350*T1^6*T2^11 - 9721*T1^7*T2^11 + 9142*T1^8*T2^11 - 3060*T1^9*T2^11 - 
      3060*T1^10*T2^11 + 9142*T1^11*T2^11 - 9721*T1^12*T2^11 - 
      1350*T1^13*T2^11 + 1987*T1^14*T2^11 - 308*T1^15*T2^11 - 
      396*T1^16*T2^11 + 453*T1^4*T2^12 - 308*T1^5*T2^12 - 1571*T1^6*T2^12 + 
      3787*T1^7*T2^12 + 3705*T1^8*T2^12 - 9721*T1^9*T2^12 + 
      11351*T1^10*T2^12 - 9721*T1^11*T2^12 + 3705*T1^12*T2^12 + 
      3787*T1^13*T2^12 - 1571*T1^14*T2^12 - 308*T1^15*T2^12 + 
      453*T1^16*T2^12 - 396*T1^5*T2^13 + 795*T1^6*T2^13 + 259*T1^7*T2^13 - 
      3940*T1^8*T2^13 + 3787*T1^9*T2^13 - 1350*T1^10*T2^13 - 
      1350*T1^11*T2^13 + 3787*T1^12*T2^13 - 3940*T1^13*T2^13 + 
      259*T1^14*T2^13 + 795*T1^15*T2^13 - 396*T1^16*T2^13 + 249*T1^6*T2^14 - 
      849*T1^7*T2^14 + 1171*T1^8*T2^14 + 259*T1^9*T2^14 - 1571*T1^10*T2^14 + 
      1987*T1^11*T2^14 - 1571*T1^12*T2^14 + 259*T1^13*T2^14 + 
      1171*T1^14*T2^14 - 849*T1^15*T2^14 + 249*T1^16*T2^14 - 92*T1^7*T2^15 + 
      406*T1^8*T2^15 - 849*T1^9*T2^15 + 795*T1^10*T2^15 - 308*T1^11*T2^15 - 
      308*T1^12*T2^15 + 795*T1^13*T2^15 - 849*T1^14*T2^15 + 406*T1^15*T2^15 - 
      92*T1^16*T2^15 + 17*T1^8*T2^16 - 92*T1^9*T2^16 + 249*T1^10*T2^16 - 
      396*T1^11*T2^16 + 453*T1^12*T2^16 - 396*T1^13*T2^16 + 249*T1^14*T2^16 - 
      92*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   0}, Knot[12, Alternating, 1103] -> 
  {((4 - 7*T + 4*T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3, 
   -((80 - 376*T1 + 884*T1^2 - 1152*T1^3 + 884*T1^4 - 376*T1^5 + 80*T1^6 - 
      376*T2 + 1396*T1*T2 - 2397*T1^2*T2 + 1265*T1^3*T2 + 1265*T1^4*T2 - 
      2397*T1^5*T2 + 1396*T1^6*T2 - 376*T1^7*T2 + 884*T2^2 - 2397*T1*T2^2 + 
      2280*T1^2*T2^2 + 2928*T1^3*T2^2 - 6352*T1^4*T2^2 + 2928*T1^5*T2^2 + 
      2280*T1^6*T2^2 - 2397*T1^7*T2^2 + 884*T1^8*T2^2 - 1152*T2^3 + 
      1265*T1*T2^3 + 2928*T1^2*T2^3 - 11628*T1^3*T2^3 + 7065*T1^4*T2^3 + 
      7065*T1^5*T2^3 - 11628*T1^6*T2^3 + 2928*T1^7*T2^3 + 1265*T1^8*T2^3 - 
      1152*T1^9*T2^3 + 884*T2^4 + 1265*T1*T2^4 - 6352*T1^2*T2^4 + 
      7065*T1^3*T2^4 + 15626*T1^4*T2^4 - 30722*T1^5*T2^4 + 15626*T1^6*T2^4 + 
      7065*T1^7*T2^4 - 6352*T1^8*T2^4 + 1265*T1^9*T2^4 + 884*T1^10*T2^4 - 
      376*T2^5 - 2397*T1*T2^5 + 2928*T1^2*T2^5 + 7065*T1^3*T2^5 - 
      30722*T1^4*T2^5 + 18766*T1^5*T2^5 + 18766*T1^6*T2^5 - 30722*T1^7*T2^5 + 
      7065*T1^8*T2^5 + 2928*T1^9*T2^5 - 2397*T1^10*T2^5 - 376*T1^11*T2^5 + 
      80*T2^6 + 1396*T1*T2^6 + 2280*T1^2*T2^6 - 11628*T1^3*T2^6 + 
      15626*T1^4*T2^6 + 18766*T1^5*T2^6 - 42192*T1^6*T2^6 + 18766*T1^7*T2^6 + 
      15626*T1^8*T2^6 - 11628*T1^9*T2^6 + 2280*T1^10*T2^6 + 1396*T1^11*T2^6 + 
      80*T1^12*T2^6 - 376*T1*T2^7 - 2397*T1^2*T2^7 + 2928*T1^3*T2^7 + 
      7065*T1^4*T2^7 - 30722*T1^5*T2^7 + 18766*T1^6*T2^7 + 18766*T1^7*T2^7 - 
      30722*T1^8*T2^7 + 7065*T1^9*T2^7 + 2928*T1^10*T2^7 - 2397*T1^11*T2^7 - 
      376*T1^12*T2^7 + 884*T1^2*T2^8 + 1265*T1^3*T2^8 - 6352*T1^4*T2^8 + 
      7065*T1^5*T2^8 + 15626*T1^6*T2^8 - 30722*T1^7*T2^8 + 15626*T1^8*T2^8 + 
      7065*T1^9*T2^8 - 6352*T1^10*T2^8 + 1265*T1^11*T2^8 + 884*T1^12*T2^8 - 
      1152*T1^3*T2^9 + 1265*T1^4*T2^9 + 2928*T1^5*T2^9 - 11628*T1^6*T2^9 + 
      7065*T1^7*T2^9 + 7065*T1^8*T2^9 - 11628*T1^9*T2^9 + 2928*T1^10*T2^9 + 
      1265*T1^11*T2^9 - 1152*T1^12*T2^9 + 884*T1^4*T2^10 - 2397*T1^5*T2^10 + 
      2280*T1^6*T2^10 + 2928*T1^7*T2^10 - 6352*T1^8*T2^10 + 2928*T1^9*T2^10 + 
      2280*T1^10*T2^10 - 2397*T1^11*T2^10 + 884*T1^12*T2^10 - 
      376*T1^5*T2^11 + 1396*T1^6*T2^11 - 2397*T1^7*T2^11 + 1265*T1^8*T2^11 + 
      1265*T1^9*T2^11 - 2397*T1^10*T2^11 + 1396*T1^11*T2^11 - 
      376*T1^12*T2^11 + 80*T1^6*T2^12 - 376*T1^7*T2^12 + 884*T1^8*T2^12 - 
      1152*T1^9*T2^12 + 884*T1^10*T2^12 - 376*T1^11*T2^12 + 80*T1^12*T2^12)/
     (T1^6*T2^6))}, 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), (1 - 8*T1 + 25*T1^2 - 46*T1^3 + 55*T1^4 - 46*T1^5 + 25*T1^6 - 
     8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 136*T1^2*T2 + 167*T1^3*T2 - 
     71*T1^4*T2 - 71*T1^5*T2 + 167*T1^6*T2 - 136*T1^7*T2 + 56*T1^8*T2 - 
     8*T1^9*T2 + 25*T2^2 - 136*T1*T2^2 + 137*T1^2*T2^2 + 266*T1^3*T2^2 - 
     973*T1^4*T2^2 + 1249*T1^5*T2^2 - 973*T1^6*T2^2 + 266*T1^7*T2^2 + 
     137*T1^8*T2^2 - 136*T1^9*T2^2 + 25*T1^10*T2^2 - 46*T2^3 + 167*T1*T2^3 + 
     266*T1^2*T2^3 - 1438*T1^3*T2^3 + 2191*T1^4*T2^3 - 906*T1^5*T2^3 - 
     906*T1^6*T2^3 + 2191*T1^7*T2^3 - 1438*T1^8*T2^3 + 266*T1^9*T2^3 + 
     167*T1^10*T2^3 - 46*T1^11*T2^3 + 55*T2^4 - 71*T1*T2^4 - 973*T1^2*T2^4 + 
     2191*T1^3*T2^4 - 974*T1^4*T2^4 - 3223*T1^5*T2^4 + 4706*T1^6*T2^4 - 
     3223*T1^7*T2^4 - 974*T1^8*T2^4 + 2191*T1^9*T2^4 - 973*T1^10*T2^4 - 
     71*T1^11*T2^4 + 55*T1^12*T2^4 - 46*T2^5 - 71*T1*T2^5 + 1249*T1^2*T2^5 - 
     906*T1^3*T2^5 - 3223*T1^4*T2^5 + 7372*T1^5*T2^5 - 3111*T1^6*T2^5 - 
     3111*T1^7*T2^5 + 7372*T1^8*T2^5 - 3223*T1^9*T2^5 - 906*T1^10*T2^5 + 
     1249*T1^11*T2^5 - 71*T1^12*T2^5 - 46*T1^13*T2^5 + 25*T2^6 + 
     167*T1*T2^6 - 973*T1^2*T2^6 - 906*T1^3*T2^6 + 4706*T1^4*T2^6 - 
     3111*T1^5*T2^6 - 7687*T1^6*T2^6 + 11735*T1^7*T2^6 - 7687*T1^8*T2^6 - 
     3111*T1^9*T2^6 + 4706*T1^10*T2^6 - 906*T1^11*T2^6 - 973*T1^12*T2^6 + 
     167*T1^13*T2^6 + 25*T1^14*T2^6 - 8*T2^7 - 136*T1*T2^7 + 266*T1^2*T2^7 + 
     2191*T1^3*T2^7 - 3223*T1^4*T2^7 - 3111*T1^5*T2^7 + 11735*T1^6*T2^7 - 
     5350*T1^7*T2^7 - 5350*T1^8*T2^7 + 11735*T1^9*T2^7 - 3111*T1^10*T2^7 - 
     3223*T1^11*T2^7 + 2191*T1^12*T2^7 + 266*T1^13*T2^7 - 136*T1^14*T2^7 - 
     8*T1^15*T2^7 + T2^8 + 56*T1*T2^8 + 137*T1^2*T2^8 - 1438*T1^3*T2^8 - 
     974*T1^4*T2^8 + 7372*T1^5*T2^8 - 7687*T1^6*T2^8 - 5350*T1^7*T2^8 + 
     10728*T1^8*T2^8 - 5350*T1^9*T2^8 - 7687*T1^10*T2^8 + 7372*T1^11*T2^8 - 
     974*T1^12*T2^8 - 1438*T1^13*T2^8 + 137*T1^14*T2^8 + 56*T1^15*T2^8 + 
     T1^16*T2^8 - 8*T1*T2^9 - 136*T1^2*T2^9 + 266*T1^3*T2^9 + 
     2191*T1^4*T2^9 - 3223*T1^5*T2^9 - 3111*T1^6*T2^9 + 11735*T1^7*T2^9 - 
     5350*T1^8*T2^9 - 5350*T1^9*T2^9 + 11735*T1^10*T2^9 - 3111*T1^11*T2^9 - 
     3223*T1^12*T2^9 + 2191*T1^13*T2^9 + 266*T1^14*T2^9 - 136*T1^15*T2^9 - 
     8*T1^16*T2^9 + 25*T1^2*T2^10 + 167*T1^3*T2^10 - 973*T1^4*T2^10 - 
     906*T1^5*T2^10 + 4706*T1^6*T2^10 - 3111*T1^7*T2^10 - 7687*T1^8*T2^10 + 
     11735*T1^9*T2^10 - 7687*T1^10*T2^10 - 3111*T1^11*T2^10 + 
     4706*T1^12*T2^10 - 906*T1^13*T2^10 - 973*T1^14*T2^10 + 167*T1^15*T2^10 + 
     25*T1^16*T2^10 - 46*T1^3*T2^11 - 71*T1^4*T2^11 + 1249*T1^5*T2^11 - 
     906*T1^6*T2^11 - 3223*T1^7*T2^11 + 7372*T1^8*T2^11 - 3111*T1^9*T2^11 - 
     3111*T1^10*T2^11 + 7372*T1^11*T2^11 - 3223*T1^12*T2^11 - 
     906*T1^13*T2^11 + 1249*T1^14*T2^11 - 71*T1^15*T2^11 - 46*T1^16*T2^11 + 
     55*T1^4*T2^12 - 71*T1^5*T2^12 - 973*T1^6*T2^12 + 2191*T1^7*T2^12 - 
     974*T1^8*T2^12 - 3223*T1^9*T2^12 + 4706*T1^10*T2^12 - 3223*T1^11*T2^12 - 
     974*T1^12*T2^12 + 2191*T1^13*T2^12 - 973*T1^14*T2^12 - 71*T1^15*T2^12 + 
     55*T1^16*T2^12 - 46*T1^5*T2^13 + 167*T1^6*T2^13 + 266*T1^7*T2^13 - 
     1438*T1^8*T2^13 + 2191*T1^9*T2^13 - 906*T1^10*T2^13 - 906*T1^11*T2^13 + 
     2191*T1^12*T2^13 - 1438*T1^13*T2^13 + 266*T1^14*T2^13 + 
     167*T1^15*T2^13 - 46*T1^16*T2^13 + 25*T1^6*T2^14 - 136*T1^7*T2^14 + 
     137*T1^8*T2^14 + 266*T1^9*T2^14 - 973*T1^10*T2^14 + 1249*T1^11*T2^14 - 
     973*T1^12*T2^14 + 266*T1^13*T2^14 + 137*T1^14*T2^14 - 136*T1^15*T2^14 + 
     25*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 136*T1^9*T2^15 + 
     167*T1^10*T2^15 - 71*T1^11*T2^15 - 71*T1^12*T2^15 + 167*T1^13*T2^15 - 
     136*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
     8*T1^9*T2^16 + 25*T1^10*T2^16 - 46*T1^11*T2^16 + 55*T1^12*T2^16 - 
     46*T1^13*T2^16 + 25*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 1105] -> 
  {(1 - 4*T + 7*T^2 - 4*T^3 + T^4)^2/T^4, 0}, Knot[12, Alternating, 1106] -> 
  {-((3 - 18*T + 48*T^2 - 67*T^3 + 48*T^4 - 18*T^5 + 3*T^6)/T^3), 
   -((3 - 21*T1 + 64*T1^2 - 95*T1^3 + 64*T1^4 - 21*T1^5 + 3*T1^6 - 21*T2 + 
      124*T1*T2 - 291*T1^2*T2 + 207*T1^3*T2 + 207*T1^4*T2 - 291*T1^5*T2 + 
      124*T1^6*T2 - 21*T1^7*T2 + 64*T2^2 - 291*T1*T2^2 + 403*T1^2*T2^2 + 
      538*T1^3*T2^2 - 1693*T1^4*T2^2 + 538*T1^5*T2^2 + 403*T1^6*T2^2 - 
      291*T1^7*T2^2 + 64*T1^8*T2^2 - 95*T2^3 + 207*T1*T2^3 + 538*T1^2*T2^3 - 
      3140*T1^3*T2^3 + 3063*T1^4*T2^3 + 3063*T1^5*T2^3 - 3140*T1^6*T2^3 + 
      538*T1^7*T2^3 + 207*T1^8*T2^3 - 95*T1^9*T2^3 + 64*T2^4 + 207*T1*T2^4 - 
      1693*T1^2*T2^4 + 3063*T1^3*T2^4 + 4610*T1^4*T2^4 - 15676*T1^5*T2^4 + 
      4610*T1^6*T2^4 + 3063*T1^7*T2^4 - 1693*T1^8*T2^4 + 207*T1^9*T2^4 + 
      64*T1^10*T2^4 - 21*T2^5 - 291*T1*T2^5 + 538*T1^2*T2^5 + 
      3063*T1^3*T2^5 - 15676*T1^4*T2^5 + 15280*T1^5*T2^5 + 15280*T1^6*T2^5 - 
      15676*T1^7*T2^5 + 3063*T1^8*T2^5 + 538*T1^9*T2^5 - 291*T1^10*T2^5 - 
      21*T1^11*T2^5 + 3*T2^6 + 124*T1*T2^6 + 403*T1^2*T2^6 - 3140*T1^3*T2^6 + 
      4610*T1^4*T2^6 + 15280*T1^5*T2^6 - 41616*T1^6*T2^6 + 15280*T1^7*T2^6 + 
      4610*T1^8*T2^6 - 3140*T1^9*T2^6 + 403*T1^10*T2^6 + 124*T1^11*T2^6 + 
      3*T1^12*T2^6 - 21*T1*T2^7 - 291*T1^2*T2^7 + 538*T1^3*T2^7 + 
      3063*T1^4*T2^7 - 15676*T1^5*T2^7 + 15280*T1^6*T2^7 + 15280*T1^7*T2^7 - 
      15676*T1^8*T2^7 + 3063*T1^9*T2^7 + 538*T1^10*T2^7 - 291*T1^11*T2^7 - 
      21*T1^12*T2^7 + 64*T1^2*T2^8 + 207*T1^3*T2^8 - 1693*T1^4*T2^8 + 
      3063*T1^5*T2^8 + 4610*T1^6*T2^8 - 15676*T1^7*T2^8 + 4610*T1^8*T2^8 + 
      3063*T1^9*T2^8 - 1693*T1^10*T2^8 + 207*T1^11*T2^8 + 64*T1^12*T2^8 - 
      95*T1^3*T2^9 + 207*T1^4*T2^9 + 538*T1^5*T2^9 - 3140*T1^6*T2^9 + 
      3063*T1^7*T2^9 + 3063*T1^8*T2^9 - 3140*T1^9*T2^9 + 538*T1^10*T2^9 + 
      207*T1^11*T2^9 - 95*T1^12*T2^9 + 64*T1^4*T2^10 - 291*T1^5*T2^10 + 
      403*T1^6*T2^10 + 538*T1^7*T2^10 - 1693*T1^8*T2^10 + 538*T1^9*T2^10 + 
      403*T1^10*T2^10 - 291*T1^11*T2^10 + 64*T1^12*T2^10 - 21*T1^5*T2^11 + 
      124*T1^6*T2^11 - 291*T1^7*T2^11 + 207*T1^8*T2^11 + 207*T1^9*T2^11 - 
      291*T1^10*T2^11 + 124*T1^11*T2^11 - 21*T1^12*T2^11 + 3*T1^6*T2^12 - 
      21*T1^7*T2^12 + 64*T1^8*T2^12 - 95*T1^9*T2^12 + 64*T1^10*T2^12 - 
      21*T1^11*T2^12 + 3*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, -((15 - 60*T1 + 119*T1^2 - 148*T1^3 + 155*T1^4 - 148*T1^5 + 
      119*T1^6 - 60*T1^7 + 15*T1^8 - 60*T2 + 180*T1*T2 - 236*T1^2*T2 + 
      116*T1^3*T2 - 28*T1^4*T2 - 28*T1^5*T2 + 116*T1^6*T2 - 236*T1^7*T2 + 
      180*T1^8*T2 - 60*T1^9*T2 + 119*T2^2 - 236*T1*T2^2 + 84*T1^2*T2^2 + 
      315*T1^3*T2^2 - 307*T1^4*T2^2 + 260*T1^5*T2^2 - 307*T1^6*T2^2 + 
      315*T1^7*T2^2 + 84*T1^8*T2^2 - 236*T1^9*T2^2 + 119*T1^10*T2^2 - 
      148*T2^3 + 116*T1*T2^3 + 315*T1^2*T2^3 - 696*T1^3*T2^3 + 
      153*T1^4*T2^3 + 12*T1^5*T2^3 + 12*T1^6*T2^3 + 153*T1^7*T2^3 - 
      696*T1^8*T2^3 + 315*T1^9*T2^3 + 116*T1^10*T2^3 - 148*T1^11*T2^3 + 
      155*T2^4 - 28*T1*T2^4 - 307*T1^2*T2^4 + 153*T1^3*T2^4 + 918*T1^4*T2^4 - 
      779*T1^5*T2^4 + 628*T1^6*T2^4 - 779*T1^7*T2^4 + 918*T1^8*T2^4 + 
      153*T1^9*T2^4 - 307*T1^10*T2^4 - 28*T1^11*T2^4 + 155*T1^12*T2^4 - 
      148*T2^5 - 28*T1*T2^5 + 260*T1^2*T2^5 + 12*T1^3*T2^5 - 779*T1^4*T2^5 - 
      4*T1^5*T2^5 + 104*T1^6*T2^5 + 104*T1^7*T2^5 - 4*T1^8*T2^5 - 
      779*T1^9*T2^5 + 12*T1^10*T2^5 + 260*T1^11*T2^5 - 28*T1^12*T2^5 - 
      148*T1^13*T2^5 + 119*T2^6 + 116*T1*T2^6 - 307*T1^2*T2^6 + 
      12*T1^3*T2^6 + 628*T1^4*T2^6 + 104*T1^5*T2^6 + 286*T1^6*T2^6 - 
      552*T1^7*T2^6 + 286*T1^8*T2^6 + 104*T1^9*T2^6 + 628*T1^10*T2^6 + 
      12*T1^11*T2^6 - 307*T1^12*T2^6 + 116*T1^13*T2^6 + 119*T1^14*T2^6 - 
      60*T2^7 - 236*T1*T2^7 + 315*T1^2*T2^7 + 153*T1^3*T2^7 - 779*T1^4*T2^7 + 
      104*T1^5*T2^7 - 552*T1^6*T2^7 + 332*T1^7*T2^7 + 332*T1^8*T2^7 - 
      552*T1^9*T2^7 + 104*T1^10*T2^7 - 779*T1^11*T2^7 + 153*T1^12*T2^7 + 
      315*T1^13*T2^7 - 236*T1^14*T2^7 - 60*T1^15*T2^7 + 15*T2^8 + 
      180*T1*T2^8 + 84*T1^2*T2^8 - 696*T1^3*T2^8 + 918*T1^4*T2^8 - 
      4*T1^5*T2^8 + 286*T1^6*T2^8 + 332*T1^7*T2^8 - 768*T1^8*T2^8 + 
      332*T1^9*T2^8 + 286*T1^10*T2^8 - 4*T1^11*T2^8 + 918*T1^12*T2^8 - 
      696*T1^13*T2^8 + 84*T1^14*T2^8 + 180*T1^15*T2^8 + 15*T1^16*T2^8 - 
      60*T1*T2^9 - 236*T1^2*T2^9 + 315*T1^3*T2^9 + 153*T1^4*T2^9 - 
      779*T1^5*T2^9 + 104*T1^6*T2^9 - 552*T1^7*T2^9 + 332*T1^8*T2^9 + 
      332*T1^9*T2^9 - 552*T1^10*T2^9 + 104*T1^11*T2^9 - 779*T1^12*T2^9 + 
      153*T1^13*T2^9 + 315*T1^14*T2^9 - 236*T1^15*T2^9 - 60*T1^16*T2^9 + 
      119*T1^2*T2^10 + 116*T1^3*T2^10 - 307*T1^4*T2^10 + 12*T1^5*T2^10 + 
      628*T1^6*T2^10 + 104*T1^7*T2^10 + 286*T1^8*T2^10 - 552*T1^9*T2^10 + 
      286*T1^10*T2^10 + 104*T1^11*T2^10 + 628*T1^12*T2^10 + 12*T1^13*T2^10 - 
      307*T1^14*T2^10 + 116*T1^15*T2^10 + 119*T1^16*T2^10 - 148*T1^3*T2^11 - 
      28*T1^4*T2^11 + 260*T1^5*T2^11 + 12*T1^6*T2^11 - 779*T1^7*T2^11 - 
      4*T1^8*T2^11 + 104*T1^9*T2^11 + 104*T1^10*T2^11 - 4*T1^11*T2^11 - 
      779*T1^12*T2^11 + 12*T1^13*T2^11 + 260*T1^14*T2^11 - 28*T1^15*T2^11 - 
      148*T1^16*T2^11 + 155*T1^4*T2^12 - 28*T1^5*T2^12 - 307*T1^6*T2^12 + 
      153*T1^7*T2^12 + 918*T1^8*T2^12 - 779*T1^9*T2^12 + 628*T1^10*T2^12 - 
      779*T1^11*T2^12 + 918*T1^12*T2^12 + 153*T1^13*T2^12 - 307*T1^14*T2^12 - 
      28*T1^15*T2^12 + 155*T1^16*T2^12 - 148*T1^5*T2^13 + 116*T1^6*T2^13 + 
      315*T1^7*T2^13 - 696*T1^8*T2^13 + 153*T1^9*T2^13 + 12*T1^10*T2^13 + 
      12*T1^11*T2^13 + 153*T1^12*T2^13 - 696*T1^13*T2^13 + 315*T1^14*T2^13 + 
      116*T1^15*T2^13 - 148*T1^16*T2^13 + 119*T1^6*T2^14 - 236*T1^7*T2^14 + 
      84*T1^8*T2^14 + 315*T1^9*T2^14 - 307*T1^10*T2^14 + 260*T1^11*T2^14 - 
      307*T1^12*T2^14 + 315*T1^13*T2^14 + 84*T1^14*T2^14 - 236*T1^15*T2^14 + 
      119*T1^16*T2^14 - 60*T1^7*T2^15 + 180*T1^8*T2^15 - 236*T1^9*T2^15 + 
      116*T1^10*T2^15 - 28*T1^11*T2^15 - 28*T1^12*T2^15 + 116*T1^13*T2^15 - 
      236*T1^14*T2^15 + 180*T1^15*T2^15 - 60*T1^16*T2^15 + 15*T1^8*T2^16 - 
      60*T1^9*T2^16 + 119*T1^10*T2^16 - 148*T1^11*T2^16 + 155*T1^12*T2^16 - 
      148*T1^13*T2^16 + 119*T1^14*T2^16 - 60*T1^15*T2^16 + 15*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 1108] -> 
  {(4 - 17*T + 35*T^2 - 43*T^3 + 35*T^4 - 17*T^5 + 4*T^6)/T^3, 
   -((64 - 272*T1 + 552*T1^2 - 672*T1^3 + 552*T1^4 - 272*T1^5 + 64*T1^6 - 
      272*T2 + 884*T1*T2 - 1191*T1^2*T2 + 511*T1^3*T2 + 511*T1^4*T2 - 
      1191*T1^5*T2 + 884*T1^6*T2 - 272*T1^7*T2 + 552*T2^2 - 1191*T1*T2^2 + 
      287*T1^2*T2^2 + 2206*T1^3*T2^2 - 3183*T1^4*T2^2 + 2206*T1^5*T2^2 + 
      287*T1^6*T2^2 - 1191*T1^7*T2^2 + 552*T1^8*T2^2 - 672*T2^3 + 
      511*T1*T2^3 + 2206*T1^2*T2^3 - 4716*T1^3*T2^3 + 2052*T1^4*T2^3 + 
      2052*T1^5*T2^3 - 4716*T1^6*T2^3 + 2206*T1^7*T2^3 + 511*T1^8*T2^3 - 
      672*T1^9*T2^3 + 552*T2^4 + 511*T1*T2^4 - 3183*T1^2*T2^4 + 
      2052*T1^3*T2^4 + 4921*T1^4*T2^4 - 7649*T1^5*T2^4 + 4921*T1^6*T2^4 + 
      2052*T1^7*T2^4 - 3183*T1^8*T2^4 + 511*T1^9*T2^4 + 552*T1^10*T2^4 - 
      272*T2^5 - 1191*T1*T2^5 + 2206*T1^2*T2^5 + 2052*T1^3*T2^5 - 
      7649*T1^4*T2^5 + 3526*T1^5*T2^5 + 3526*T1^6*T2^5 - 7649*T1^7*T2^5 + 
      2052*T1^8*T2^5 + 2206*T1^9*T2^5 - 1191*T1^10*T2^5 - 272*T1^11*T2^5 + 
      64*T2^6 + 884*T1*T2^6 + 287*T1^2*T2^6 - 4716*T1^3*T2^6 + 
      4921*T1^4*T2^6 + 3526*T1^5*T2^6 - 7068*T1^6*T2^6 + 3526*T1^7*T2^6 + 
      4921*T1^8*T2^6 - 4716*T1^9*T2^6 + 287*T1^10*T2^6 + 884*T1^11*T2^6 + 
      64*T1^12*T2^6 - 272*T1*T2^7 - 1191*T1^2*T2^7 + 2206*T1^3*T2^7 + 
      2052*T1^4*T2^7 - 7649*T1^5*T2^7 + 3526*T1^6*T2^7 + 3526*T1^7*T2^7 - 
      7649*T1^8*T2^7 + 2052*T1^9*T2^7 + 2206*T1^10*T2^7 - 1191*T1^11*T2^7 - 
      272*T1^12*T2^7 + 552*T1^2*T2^8 + 511*T1^3*T2^8 - 3183*T1^4*T2^8 + 
      2052*T1^5*T2^8 + 4921*T1^6*T2^8 - 7649*T1^7*T2^8 + 4921*T1^8*T2^8 + 
      2052*T1^9*T2^8 - 3183*T1^10*T2^8 + 511*T1^11*T2^8 + 552*T1^12*T2^8 - 
      672*T1^3*T2^9 + 511*T1^4*T2^9 + 2206*T1^5*T2^9 - 4716*T1^6*T2^9 + 
      2052*T1^7*T2^9 + 2052*T1^8*T2^9 - 4716*T1^9*T2^9 + 2206*T1^10*T2^9 + 
      511*T1^11*T2^9 - 672*T1^12*T2^9 + 552*T1^4*T2^10 - 1191*T1^5*T2^10 + 
      287*T1^6*T2^10 + 2206*T1^7*T2^10 - 3183*T1^8*T2^10 + 2206*T1^9*T2^10 + 
      287*T1^10*T2^10 - 1191*T1^11*T2^10 + 552*T1^12*T2^10 - 272*T1^5*T2^11 + 
      884*T1^6*T2^11 - 1191*T1^7*T2^11 + 511*T1^8*T2^11 + 511*T1^9*T2^11 - 
      1191*T1^10*T2^11 + 884*T1^11*T2^11 - 272*T1^12*T2^11 + 64*T1^6*T2^12 - 
      272*T1^7*T2^12 + 552*T1^8*T2^12 - 672*T1^9*T2^12 + 552*T1^10*T2^12 - 
      272*T1^11*T2^12 + 64*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), -((9 - 49*T1 + 128*T1^2 - 223*T1^3 + 265*T1^4 - 223*T1^5 + 
      128*T1^6 - 49*T1^7 + 9*T1^8 - 49*T2 + 218*T1*T2 - 431*T1^2*T2 + 
      519*T1^3*T2 - 230*T1^4*T2 - 230*T1^5*T2 + 519*T1^6*T2 - 431*T1^7*T2 + 
      218*T1^8*T2 - 49*T1^9*T2 + 128*T2^2 - 431*T1*T2^2 + 482*T1^2*T2^2 - 
      9*T1^3*T2^2 - 1162*T1^4*T2^2 + 1702*T1^5*T2^2 - 1162*T1^6*T2^2 - 
      9*T1^7*T2^2 + 482*T1^8*T2^2 - 431*T1^9*T2^2 + 128*T1^10*T2^2 - 
      223*T2^3 + 519*T1*T2^3 - 9*T1^2*T2^3 - 1022*T1^3*T2^3 + 
      2299*T1^4*T2^3 - 1081*T1^5*T2^3 - 1081*T1^6*T2^3 + 2299*T1^7*T2^3 - 
      1022*T1^8*T2^3 - 9*T1^9*T2^3 + 519*T1^10*T2^3 - 223*T1^11*T2^3 + 
      265*T2^4 - 230*T1*T2^4 - 1162*T1^2*T2^4 + 2299*T1^3*T2^4 - 
      2930*T1^4*T2^4 - 295*T1^5*T2^4 + 1668*T1^6*T2^4 - 295*T1^7*T2^4 - 
      2930*T1^8*T2^4 + 2299*T1^9*T2^4 - 1162*T1^10*T2^4 - 230*T1^11*T2^4 + 
      265*T1^12*T2^4 - 223*T2^5 - 230*T1*T2^5 + 1702*T1^2*T2^5 - 
      1081*T1^3*T2^5 - 295*T1^4*T2^5 + 4742*T1^5*T2^5 - 2216*T1^6*T2^5 - 
      2216*T1^7*T2^5 + 4742*T1^8*T2^5 - 295*T1^9*T2^5 - 1081*T1^10*T2^5 + 
      1702*T1^11*T2^5 - 230*T1^12*T2^5 - 223*T1^13*T2^5 + 128*T2^6 + 
      519*T1*T2^6 - 1162*T1^2*T2^6 - 1081*T1^3*T2^6 + 1668*T1^4*T2^6 - 
      2216*T1^5*T2^6 - 6802*T1^6*T2^6 + 10268*T1^7*T2^6 - 6802*T1^8*T2^6 - 
      2216*T1^9*T2^6 + 1668*T1^10*T2^6 - 1081*T1^11*T2^6 - 1162*T1^12*T2^6 + 
      519*T1^13*T2^6 + 128*T1^14*T2^6 - 49*T2^7 - 431*T1*T2^7 - 9*T1^2*T2^7 + 
      2299*T1^3*T2^7 - 295*T1^4*T2^7 - 2216*T1^5*T2^7 + 10268*T1^6*T2^7 - 
      4572*T1^7*T2^7 - 4572*T1^8*T2^7 + 10268*T1^9*T2^7 - 2216*T1^10*T2^7 - 
      295*T1^11*T2^7 + 2299*T1^12*T2^7 - 9*T1^13*T2^7 - 431*T1^14*T2^7 - 
      49*T1^15*T2^7 + 9*T2^8 + 218*T1*T2^8 + 482*T1^2*T2^8 - 1022*T1^3*T2^8 - 
      2930*T1^4*T2^8 + 4742*T1^5*T2^8 - 6802*T1^6*T2^8 - 4572*T1^7*T2^8 + 
      8832*T1^8*T2^8 - 4572*T1^9*T2^8 - 6802*T1^10*T2^8 + 4742*T1^11*T2^8 - 
      2930*T1^12*T2^8 - 1022*T1^13*T2^8 + 482*T1^14*T2^8 + 218*T1^15*T2^8 + 
      9*T1^16*T2^8 - 49*T1*T2^9 - 431*T1^2*T2^9 - 9*T1^3*T2^9 + 
      2299*T1^4*T2^9 - 295*T1^5*T2^9 - 2216*T1^6*T2^9 + 10268*T1^7*T2^9 - 
      4572*T1^8*T2^9 - 4572*T1^9*T2^9 + 10268*T1^10*T2^9 - 2216*T1^11*T2^9 - 
      295*T1^12*T2^9 + 2299*T1^13*T2^9 - 9*T1^14*T2^9 - 431*T1^15*T2^9 - 
      49*T1^16*T2^9 + 128*T1^2*T2^10 + 519*T1^3*T2^10 - 1162*T1^4*T2^10 - 
      1081*T1^5*T2^10 + 1668*T1^6*T2^10 - 2216*T1^7*T2^10 - 6802*T1^8*T2^10 + 
      10268*T1^9*T2^10 - 6802*T1^10*T2^10 - 2216*T1^11*T2^10 + 
      1668*T1^12*T2^10 - 1081*T1^13*T2^10 - 1162*T1^14*T2^10 + 
      519*T1^15*T2^10 + 128*T1^16*T2^10 - 223*T1^3*T2^11 - 230*T1^4*T2^11 + 
      1702*T1^5*T2^11 - 1081*T1^6*T2^11 - 295*T1^7*T2^11 + 4742*T1^8*T2^11 - 
      2216*T1^9*T2^11 - 2216*T1^10*T2^11 + 4742*T1^11*T2^11 - 
      295*T1^12*T2^11 - 1081*T1^13*T2^11 + 1702*T1^14*T2^11 - 
      230*T1^15*T2^11 - 223*T1^16*T2^11 + 265*T1^4*T2^12 - 230*T1^5*T2^12 - 
      1162*T1^6*T2^12 + 2299*T1^7*T2^12 - 2930*T1^8*T2^12 - 295*T1^9*T2^12 + 
      1668*T1^10*T2^12 - 295*T1^11*T2^12 - 2930*T1^12*T2^12 + 
      2299*T1^13*T2^12 - 1162*T1^14*T2^12 - 230*T1^15*T2^12 + 
      265*T1^16*T2^12 - 223*T1^5*T2^13 + 519*T1^6*T2^13 - 9*T1^7*T2^13 - 
      1022*T1^8*T2^13 + 2299*T1^9*T2^13 - 1081*T1^10*T2^13 - 
      1081*T1^11*T2^13 + 2299*T1^12*T2^13 - 1022*T1^13*T2^13 - 
      9*T1^14*T2^13 + 519*T1^15*T2^13 - 223*T1^16*T2^13 + 128*T1^6*T2^14 - 
      431*T1^7*T2^14 + 482*T1^8*T2^14 - 9*T1^9*T2^14 - 1162*T1^10*T2^14 + 
      1702*T1^11*T2^14 - 1162*T1^12*T2^14 - 9*T1^13*T2^14 + 482*T1^14*T2^14 - 
      431*T1^15*T2^14 + 128*T1^16*T2^14 - 49*T1^7*T2^15 + 218*T1^8*T2^15 - 
      431*T1^9*T2^15 + 519*T1^10*T2^15 - 230*T1^11*T2^15 - 230*T1^12*T2^15 + 
      519*T1^13*T2^15 - 431*T1^14*T2^15 + 218*T1^15*T2^15 - 49*T1^16*T2^15 + 
      9*T1^8*T2^16 - 49*T1^9*T2^16 + 128*T1^10*T2^16 - 223*T1^11*T2^16 + 
      265*T1^12*T2^16 - 223*T1^13*T2^16 + 128*T1^14*T2^16 - 49*T1^15*T2^16 + 
      9*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 1110] -> 
  {(5 - 27*T + 66*T^2 - 87*T^3 + 66*T^4 - 27*T^5 + 5*T^6)/T^3, 
   (145 - 770*T1 + 1869*T1^2 - 2451*T1^3 + 1869*T1^4 - 770*T1^5 + 145*T1^6 - 
     770*T2 + 3328*T1*T2 - 5856*T1^2*T2 + 3105*T1^3*T2 + 3105*T1^4*T2 - 
     5856*T1^5*T2 + 3328*T1^6*T2 - 770*T1^7*T2 + 1869*T2^2 - 5856*T1*T2^2 + 
     4168*T1^2*T2^2 + 11577*T1^3*T2^2 - 21582*T1^4*T2^2 + 11577*T1^5*T2^2 + 
     4168*T1^6*T2^2 - 5856*T1^7*T2^2 + 1869*T1^8*T2^2 - 2451*T2^3 + 
     3105*T1*T2^3 + 11577*T1^2*T2^3 - 37292*T1^3*T2^3 + 22044*T1^4*T2^3 + 
     22044*T1^5*T2^3 - 37292*T1^6*T2^3 + 11577*T1^7*T2^3 + 3105*T1^8*T2^3 - 
     2451*T1^9*T2^3 + 1869*T2^4 + 3105*T1*T2^4 - 21582*T1^2*T2^4 + 
     22044*T1^3*T2^4 + 48488*T1^4*T2^4 - 94880*T1^5*T2^4 + 48488*T1^6*T2^4 + 
     22044*T1^7*T2^4 - 21582*T1^8*T2^4 + 3105*T1^9*T2^4 + 1869*T1^10*T2^4 - 
     770*T2^5 - 5856*T1*T2^5 + 11577*T1^2*T2^5 + 22044*T1^3*T2^5 - 
     94880*T1^4*T2^5 + 57794*T1^5*T2^5 + 57794*T1^6*T2^5 - 94880*T1^7*T2^5 + 
     22044*T1^8*T2^5 + 11577*T1^9*T2^5 - 5856*T1^10*T2^5 - 770*T1^11*T2^5 + 
     145*T2^6 + 3328*T1*T2^6 + 4168*T1^2*T2^6 - 37292*T1^3*T2^6 + 
     48488*T1^4*T2^6 + 57794*T1^5*T2^6 - 129936*T1^6*T2^6 + 57794*T1^7*T2^6 + 
     48488*T1^8*T2^6 - 37292*T1^9*T2^6 + 4168*T1^10*T2^6 + 3328*T1^11*T2^6 + 
     145*T1^12*T2^6 - 770*T1*T2^7 - 5856*T1^2*T2^7 + 11577*T1^3*T2^7 + 
     22044*T1^4*T2^7 - 94880*T1^5*T2^7 + 57794*T1^6*T2^7 + 57794*T1^7*T2^7 - 
     94880*T1^8*T2^7 + 22044*T1^9*T2^7 + 11577*T1^10*T2^7 - 5856*T1^11*T2^7 - 
     770*T1^12*T2^7 + 1869*T1^2*T2^8 + 3105*T1^3*T2^8 - 21582*T1^4*T2^8 + 
     22044*T1^5*T2^8 + 48488*T1^6*T2^8 - 94880*T1^7*T2^8 + 48488*T1^8*T2^8 + 
     22044*T1^9*T2^8 - 21582*T1^10*T2^8 + 3105*T1^11*T2^8 + 1869*T1^12*T2^8 - 
     2451*T1^3*T2^9 + 3105*T1^4*T2^9 + 11577*T1^5*T2^9 - 37292*T1^6*T2^9 + 
     22044*T1^7*T2^9 + 22044*T1^8*T2^9 - 37292*T1^9*T2^9 + 11577*T1^10*T2^9 + 
     3105*T1^11*T2^9 - 2451*T1^12*T2^9 + 1869*T1^4*T2^10 - 5856*T1^5*T2^10 + 
     4168*T1^6*T2^10 + 11577*T1^7*T2^10 - 21582*T1^8*T2^10 + 
     11577*T1^9*T2^10 + 4168*T1^10*T2^10 - 5856*T1^11*T2^10 + 
     1869*T1^12*T2^10 - 770*T1^5*T2^11 + 3328*T1^6*T2^11 - 5856*T1^7*T2^11 + 
     3105*T1^8*T2^11 + 3105*T1^9*T2^11 - 5856*T1^10*T2^11 + 
     3328*T1^11*T2^11 - 770*T1^12*T2^11 + 145*T1^6*T2^12 - 770*T1^7*T2^12 + 
     1869*T1^8*T2^12 - 2451*T1^9*T2^12 + 1869*T1^10*T2^12 - 770*T1^11*T2^12 + 
     145*T1^12*T2^12)/(T1^6*T2^6)}, 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), (7 - 39*T1 + 96*T1^2 - 145*T1^3 + 159*T1^4 - 145*T1^5 + 96*T1^6 - 
     39*T1^7 + 7*T1^8 - 39*T2 + 178*T1*T2 - 317*T1^2*T2 + 273*T1^3*T2 - 
     78*T1^4*T2 - 78*T1^5*T2 + 273*T1^6*T2 - 317*T1^7*T2 + 178*T1^8*T2 - 
     39*T1^9*T2 + 96*T2^2 - 317*T1*T2^2 + 192*T1^2*T2^2 + 505*T1^3*T2^2 - 
     1119*T1^4*T2^2 + 1118*T1^5*T2^2 - 1119*T1^6*T2^2 + 505*T1^7*T2^2 + 
     192*T1^8*T2^2 - 317*T1^9*T2^2 + 96*T1^10*T2^2 - 145*T2^3 + 273*T1*T2^3 + 
     505*T1^2*T2^3 - 1702*T1^3*T2^3 + 1591*T1^4*T2^3 - 276*T1^5*T2^3 - 
     276*T1^6*T2^3 + 1591*T1^7*T2^3 - 1702*T1^8*T2^3 + 505*T1^9*T2^3 + 
     273*T1^10*T2^3 - 145*T1^11*T2^3 + 159*T2^4 - 78*T1*T2^4 - 
     1119*T1^2*T2^4 + 1591*T1^3*T2^4 + 461*T1^4*T2^4 - 2625*T1^5*T2^4 + 
     2255*T1^6*T2^4 - 2625*T1^7*T2^4 + 461*T1^8*T2^4 + 1591*T1^9*T2^4 - 
     1119*T1^10*T2^4 - 78*T1^11*T2^4 + 159*T1^12*T2^4 - 145*T2^5 - 
     78*T1*T2^5 + 1118*T1^2*T2^5 - 276*T1^3*T2^5 - 2625*T1^4*T2^5 + 
     3124*T1^5*T2^5 - 437*T1^6*T2^5 - 437*T1^7*T2^5 + 3124*T1^8*T2^5 - 
     2625*T1^9*T2^5 - 276*T1^10*T2^5 + 1118*T1^11*T2^5 - 78*T1^12*T2^5 - 
     145*T1^13*T2^5 + 96*T2^6 + 273*T1*T2^6 - 1119*T1^2*T2^6 - 
     276*T1^3*T2^6 + 2255*T1^4*T2^6 - 437*T1^5*T2^6 - 2945*T1^6*T2^6 + 
     2857*T1^7*T2^6 - 2945*T1^8*T2^6 - 437*T1^9*T2^6 + 2255*T1^10*T2^6 - 
     276*T1^11*T2^6 - 1119*T1^12*T2^6 + 273*T1^13*T2^6 + 96*T1^14*T2^6 - 
     39*T2^7 - 317*T1*T2^7 + 505*T1^2*T2^7 + 1591*T1^3*T2^7 - 
     2625*T1^4*T2^7 - 437*T1^5*T2^7 + 2857*T1^6*T2^7 - 892*T1^7*T2^7 - 
     892*T1^8*T2^7 + 2857*T1^9*T2^7 - 437*T1^10*T2^7 - 2625*T1^11*T2^7 + 
     1591*T1^12*T2^7 + 505*T1^13*T2^7 - 317*T1^14*T2^7 - 39*T1^15*T2^7 + 
     7*T2^8 + 178*T1*T2^8 + 192*T1^2*T2^8 - 1702*T1^3*T2^8 + 461*T1^4*T2^8 + 
     3124*T1^5*T2^8 - 2945*T1^6*T2^8 - 892*T1^7*T2^8 + 1980*T1^8*T2^8 - 
     892*T1^9*T2^8 - 2945*T1^10*T2^8 + 3124*T1^11*T2^8 + 461*T1^12*T2^8 - 
     1702*T1^13*T2^8 + 192*T1^14*T2^8 + 178*T1^15*T2^8 + 7*T1^16*T2^8 - 
     39*T1*T2^9 - 317*T1^2*T2^9 + 505*T1^3*T2^9 + 1591*T1^4*T2^9 - 
     2625*T1^5*T2^9 - 437*T1^6*T2^9 + 2857*T1^7*T2^9 - 892*T1^8*T2^9 - 
     892*T1^9*T2^9 + 2857*T1^10*T2^9 - 437*T1^11*T2^9 - 2625*T1^12*T2^9 + 
     1591*T1^13*T2^9 + 505*T1^14*T2^9 - 317*T1^15*T2^9 - 39*T1^16*T2^9 + 
     96*T1^2*T2^10 + 273*T1^3*T2^10 - 1119*T1^4*T2^10 - 276*T1^5*T2^10 + 
     2255*T1^6*T2^10 - 437*T1^7*T2^10 - 2945*T1^8*T2^10 + 2857*T1^9*T2^10 - 
     2945*T1^10*T2^10 - 437*T1^11*T2^10 + 2255*T1^12*T2^10 - 
     276*T1^13*T2^10 - 1119*T1^14*T2^10 + 273*T1^15*T2^10 + 96*T1^16*T2^10 - 
     145*T1^3*T2^11 - 78*T1^4*T2^11 + 1118*T1^5*T2^11 - 276*T1^6*T2^11 - 
     2625*T1^7*T2^11 + 3124*T1^8*T2^11 - 437*T1^9*T2^11 - 437*T1^10*T2^11 + 
     3124*T1^11*T2^11 - 2625*T1^12*T2^11 - 276*T1^13*T2^11 + 
     1118*T1^14*T2^11 - 78*T1^15*T2^11 - 145*T1^16*T2^11 + 159*T1^4*T2^12 - 
     78*T1^5*T2^12 - 1119*T1^6*T2^12 + 1591*T1^7*T2^12 + 461*T1^8*T2^12 - 
     2625*T1^9*T2^12 + 2255*T1^10*T2^12 - 2625*T1^11*T2^12 + 
     461*T1^12*T2^12 + 1591*T1^13*T2^12 - 1119*T1^14*T2^12 - 78*T1^15*T2^12 + 
     159*T1^16*T2^12 - 145*T1^5*T2^13 + 273*T1^6*T2^13 + 505*T1^7*T2^13 - 
     1702*T1^8*T2^13 + 1591*T1^9*T2^13 - 276*T1^10*T2^13 - 276*T1^11*T2^13 + 
     1591*T1^12*T2^13 - 1702*T1^13*T2^13 + 505*T1^14*T2^13 + 
     273*T1^15*T2^13 - 145*T1^16*T2^13 + 96*T1^6*T2^14 - 317*T1^7*T2^14 + 
     192*T1^8*T2^14 + 505*T1^9*T2^14 - 1119*T1^10*T2^14 + 1118*T1^11*T2^14 - 
     1119*T1^12*T2^14 + 505*T1^13*T2^14 + 192*T1^14*T2^14 - 317*T1^15*T2^14 + 
     96*T1^16*T2^14 - 39*T1^7*T2^15 + 178*T1^8*T2^15 - 317*T1^9*T2^15 + 
     273*T1^10*T2^15 - 78*T1^11*T2^15 - 78*T1^12*T2^15 + 273*T1^13*T2^15 - 
     317*T1^14*T2^15 + 178*T1^15*T2^15 - 39*T1^16*T2^15 + 7*T1^8*T2^16 - 
     39*T1^9*T2^16 + 96*T1^10*T2^16 - 145*T1^11*T2^16 + 159*T1^12*T2^16 - 
     145*T1^13*T2^16 + 96*T1^14*T2^16 - 39*T1^15*T2^16 + 7*T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 1112] -> 
  {(8 - 27*T + 46*T^2 - 53*T^3 + 46*T^4 - 27*T^5 + 8*T^6)/T^3, 
   (1624 - 5369*T1 + 9050*T1^2 - 10380*T1^3 + 9050*T1^4 - 5369*T1^5 + 
     1624*T1^6 - 5369*T2 + 12456*T1*T2 - 12298*T1^2*T2 + 4467*T1^3*T2 + 
     4467*T1^4*T2 - 12298*T1^5*T2 + 12456*T1^6*T2 - 5369*T1^7*T2 + 
     9050*T2^2 - 12298*T1*T2^2 + 86*T1^2*T2^2 + 13611*T1^3*T2^2 - 
     16082*T1^4*T2^2 + 13611*T1^5*T2^2 + 86*T1^6*T2^2 - 12298*T1^7*T2^2 + 
     9050*T1^8*T2^2 - 10380*T2^3 + 4467*T1*T2^3 + 13611*T1^2*T2^3 - 
     16778*T1^3*T2^3 + 3862*T1^4*T2^3 + 3862*T1^5*T2^3 - 16778*T1^6*T2^3 + 
     13611*T1^7*T2^3 + 4467*T1^8*T2^3 - 10380*T1^9*T2^3 + 9050*T2^4 + 
     4467*T1*T2^4 - 16082*T1^2*T2^4 + 3862*T1^3*T2^4 + 12374*T1^4*T2^4 - 
     10262*T1^5*T2^4 + 12374*T1^6*T2^4 + 3862*T1^7*T2^4 - 16082*T1^8*T2^4 + 
     4467*T1^9*T2^4 + 9050*T1^10*T2^4 - 5369*T2^5 - 12298*T1*T2^5 + 
     13611*T1^2*T2^5 + 3862*T1^3*T2^5 - 10262*T1^4*T2^5 - 782*T1^5*T2^5 - 
     782*T1^6*T2^5 - 10262*T1^7*T2^5 + 3862*T1^8*T2^5 + 13611*T1^9*T2^5 - 
     12298*T1^10*T2^5 - 5369*T1^11*T2^5 + 1624*T2^6 + 12456*T1*T2^6 + 
     86*T1^2*T2^6 - 16778*T1^3*T2^6 + 12374*T1^4*T2^6 - 782*T1^5*T2^6 + 
     6588*T1^6*T2^6 - 782*T1^7*T2^6 + 12374*T1^8*T2^6 - 16778*T1^9*T2^6 + 
     86*T1^10*T2^6 + 12456*T1^11*T2^6 + 1624*T1^12*T2^6 - 5369*T1*T2^7 - 
     12298*T1^2*T2^7 + 13611*T1^3*T2^7 + 3862*T1^4*T2^7 - 10262*T1^5*T2^7 - 
     782*T1^6*T2^7 - 782*T1^7*T2^7 - 10262*T1^8*T2^7 + 3862*T1^9*T2^7 + 
     13611*T1^10*T2^7 - 12298*T1^11*T2^7 - 5369*T1^12*T2^7 + 9050*T1^2*T2^8 + 
     4467*T1^3*T2^8 - 16082*T1^4*T2^8 + 3862*T1^5*T2^8 + 12374*T1^6*T2^8 - 
     10262*T1^7*T2^8 + 12374*T1^8*T2^8 + 3862*T1^9*T2^8 - 16082*T1^10*T2^8 + 
     4467*T1^11*T2^8 + 9050*T1^12*T2^8 - 10380*T1^3*T2^9 + 4467*T1^4*T2^9 + 
     13611*T1^5*T2^9 - 16778*T1^6*T2^9 + 3862*T1^7*T2^9 + 3862*T1^8*T2^9 - 
     16778*T1^9*T2^9 + 13611*T1^10*T2^9 + 4467*T1^11*T2^9 - 
     10380*T1^12*T2^9 + 9050*T1^4*T2^10 - 12298*T1^5*T2^10 + 86*T1^6*T2^10 + 
     13611*T1^7*T2^10 - 16082*T1^8*T2^10 + 13611*T1^9*T2^10 + 
     86*T1^10*T2^10 - 12298*T1^11*T2^10 + 9050*T1^12*T2^10 - 
     5369*T1^5*T2^11 + 12456*T1^6*T2^11 - 12298*T1^7*T2^11 + 
     4467*T1^8*T2^11 + 4467*T1^9*T2^11 - 12298*T1^10*T2^11 + 
     12456*T1^11*T2^11 - 5369*T1^12*T2^11 + 1624*T1^6*T2^12 - 
     5369*T1^7*T2^12 + 9050*T1^8*T2^12 - 10380*T1^9*T2^12 + 
     9050*T1^10*T2^12 - 5369*T1^11*T2^12 + 1624*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 1113] -> {(15 - 51*T + 73*T^2 - 51*T^3 + 15*T^4)/T^2, 
   (7995 - 26703*T1 + 38067*T1^2 - 26703*T1^3 + 7995*T1^4 - 26703*T2 + 
     62708*T1*T2 - 38132*T1^2*T2 - 38132*T1^3*T2 + 62708*T1^4*T2 - 
     26703*T1^5*T2 + 38067*T2^2 - 38132*T1*T2^2 - 80578*T1^2*T2^2 + 
     174172*T1^3*T2^2 - 80578*T1^4*T2^2 - 38132*T1^5*T2^2 + 38067*T1^6*T2^2 - 
     26703*T2^3 - 38132*T1*T2^3 + 174172*T1^2*T2^3 - 121150*T1^3*T2^3 - 
     121150*T1^4*T2^3 + 174172*T1^5*T2^3 - 38132*T1^6*T2^3 - 
     26703*T1^7*T2^3 + 7995*T2^4 + 62708*T1*T2^4 - 80578*T1^2*T2^4 - 
     121150*T1^3*T2^4 + 290736*T1^4*T2^4 - 121150*T1^5*T2^4 - 
     80578*T1^6*T2^4 + 62708*T1^7*T2^4 + 7995*T1^8*T2^4 - 26703*T1*T2^5 - 
     38132*T1^2*T2^5 + 174172*T1^3*T2^5 - 121150*T1^4*T2^5 - 
     121150*T1^5*T2^5 + 174172*T1^6*T2^5 - 38132*T1^7*T2^5 - 
     26703*T1^8*T2^5 + 38067*T1^2*T2^6 - 38132*T1^3*T2^6 - 80578*T1^4*T2^6 + 
     174172*T1^5*T2^6 - 80578*T1^6*T2^6 - 38132*T1^7*T2^6 + 38067*T1^8*T2^6 - 
     26703*T1^3*T2^7 + 62708*T1^4*T2^7 - 38132*T1^5*T2^7 - 38132*T1^6*T2^7 + 
     62708*T1^7*T2^7 - 26703*T1^8*T2^7 + 7995*T1^4*T2^8 - 26703*T1^5*T2^8 + 
     38067*T1^6*T2^8 - 26703*T1^7*T2^8 + 7995*T1^8*T2^8)/(T1^4*T2^4)}, 
 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, -((3 - 12*T1 + 27*T1^2 - 36*T1^3 + 42*T1^4 - 
      45*T1^5 + 42*T1^6 - 36*T1^7 + 27*T1^8 - 12*T1^9 + 3*T1^10 - 12*T2 + 
      36*T1*T2 - 60*T1^2*T2 + 36*T1^3*T2 - 24*T1^4*T2 + 12*T1^5*T2 + 
      12*T1^6*T2 - 24*T1^7*T2 + 36*T1^8*T2 - 60*T1^9*T2 + 36*T1^10*T2 - 
      12*T1^11*T2 + 27*T2^2 - 60*T1*T2^2 + 75*T1^2*T2^2 + 10*T1^3*T2^2 + 
      24*T1^4*T2^2 - 31*T1^5*T2^2 + 9*T1^6*T2^2 - 31*T1^7*T2^2 + 
      24*T1^8*T2^2 + 10*T1^9*T2^2 + 75*T1^10*T2^2 - 60*T1^11*T2^2 + 
      27*T1^12*T2^2 - 36*T2^3 + 36*T1*T2^3 + 10*T1^2*T2^3 - 164*T1^3*T2^3 - 
      3*T1^4*T2^3 - 15*T1^5*T2^3 + 39*T1^6*T2^3 + 39*T1^7*T2^3 - 
      15*T1^8*T2^3 - 3*T1^9*T2^3 - 164*T1^10*T2^3 + 10*T1^11*T2^3 + 
      36*T1^12*T2^3 - 36*T1^13*T2^3 + 42*T2^4 - 24*T1*T2^4 + 24*T1^2*T2^4 - 
      3*T1^3*T2^4 + 451*T1^4*T2^4 - 372*T1^5*T2^4 + 421*T1^6*T2^4 - 
      545*T1^7*T2^4 + 421*T1^8*T2^4 - 372*T1^9*T2^4 + 451*T1^10*T2^4 - 
      3*T1^11*T2^4 + 24*T1^12*T2^4 - 24*T1^13*T2^4 + 42*T1^14*T2^4 - 
      45*T2^5 + 12*T1*T2^5 - 31*T1^2*T2^5 - 15*T1^3*T2^5 - 372*T1^4*T2^5 - 
      30*T1^5*T2^5 - 55*T1^6*T2^5 + 104*T1^7*T2^5 + 104*T1^8*T2^5 - 
      55*T1^9*T2^5 - 30*T1^10*T2^5 - 372*T1^11*T2^5 - 15*T1^12*T2^5 - 
      31*T1^13*T2^5 + 12*T1^14*T2^5 - 45*T1^15*T2^5 + 42*T2^6 + 12*T1*T2^6 + 
      9*T1^2*T2^6 + 39*T1^3*T2^6 + 421*T1^4*T2^6 - 55*T1^5*T2^6 + 
      460*T1^6*T2^6 - 493*T1^7*T2^6 + 340*T1^8*T2^6 - 493*T1^9*T2^6 + 
      460*T1^10*T2^6 - 55*T1^11*T2^6 + 421*T1^12*T2^6 + 39*T1^13*T2^6 + 
      9*T1^14*T2^6 + 12*T1^15*T2^6 + 42*T1^16*T2^6 - 36*T2^7 - 24*T1*T2^7 - 
      31*T1^2*T2^7 + 39*T1^3*T2^7 - 545*T1^4*T2^7 + 104*T1^5*T2^7 - 
      493*T1^6*T2^7 + 192*T1^7*T2^7 + 34*T1^8*T2^7 + 34*T1^9*T2^7 + 
      192*T1^10*T2^7 - 493*T1^11*T2^7 + 104*T1^12*T2^7 - 545*T1^13*T2^7 + 
      39*T1^14*T2^7 - 31*T1^15*T2^7 - 24*T1^16*T2^7 - 36*T1^17*T2^7 + 
      27*T2^8 + 36*T1*T2^8 + 24*T1^2*T2^8 - 15*T1^3*T2^8 + 421*T1^4*T2^8 + 
      104*T1^5*T2^8 + 340*T1^6*T2^8 + 34*T1^7*T2^8 - 26*T1^8*T2^8 - 
      140*T1^9*T2^8 - 26*T1^10*T2^8 + 34*T1^11*T2^8 + 340*T1^12*T2^8 + 
      104*T1^13*T2^8 + 421*T1^14*T2^8 - 15*T1^15*T2^8 + 24*T1^16*T2^8 + 
      36*T1^17*T2^8 + 27*T1^18*T2^8 - 12*T2^9 - 60*T1*T2^9 + 10*T1^2*T2^9 - 
      3*T1^3*T2^9 - 372*T1^4*T2^9 - 55*T1^5*T2^9 - 493*T1^6*T2^9 + 
      34*T1^7*T2^9 - 140*T1^8*T2^9 + 148*T1^9*T2^9 + 148*T1^10*T2^9 - 
      140*T1^11*T2^9 + 34*T1^12*T2^9 - 493*T1^13*T2^9 - 55*T1^14*T2^9 - 
      372*T1^15*T2^9 - 3*T1^16*T2^9 + 10*T1^17*T2^9 - 60*T1^18*T2^9 - 
      12*T1^19*T2^9 + 3*T2^10 + 36*T1*T2^10 + 75*T1^2*T2^10 - 
      164*T1^3*T2^10 + 451*T1^4*T2^10 - 30*T1^5*T2^10 + 460*T1^6*T2^10 + 
      192*T1^7*T2^10 - 26*T1^8*T2^10 + 148*T1^9*T2^10 - 360*T1^10*T2^10 + 
      148*T1^11*T2^10 - 26*T1^12*T2^10 + 192*T1^13*T2^10 + 460*T1^14*T2^10 - 
      30*T1^15*T2^10 + 451*T1^16*T2^10 - 164*T1^17*T2^10 + 75*T1^18*T2^10 + 
      36*T1^19*T2^10 + 3*T1^20*T2^10 - 12*T1*T2^11 - 60*T1^2*T2^11 + 
      10*T1^3*T2^11 - 3*T1^4*T2^11 - 372*T1^5*T2^11 - 55*T1^6*T2^11 - 
      493*T1^7*T2^11 + 34*T1^8*T2^11 - 140*T1^9*T2^11 + 148*T1^10*T2^11 + 
      148*T1^11*T2^11 - 140*T1^12*T2^11 + 34*T1^13*T2^11 - 493*T1^14*T2^11 - 
      55*T1^15*T2^11 - 372*T1^16*T2^11 - 3*T1^17*T2^11 + 10*T1^18*T2^11 - 
      60*T1^19*T2^11 - 12*T1^20*T2^11 + 27*T1^2*T2^12 + 36*T1^3*T2^12 + 
      24*T1^4*T2^12 - 15*T1^5*T2^12 + 421*T1^6*T2^12 + 104*T1^7*T2^12 + 
      340*T1^8*T2^12 + 34*T1^9*T2^12 - 26*T1^10*T2^12 - 140*T1^11*T2^12 - 
      26*T1^12*T2^12 + 34*T1^13*T2^12 + 340*T1^14*T2^12 + 104*T1^15*T2^12 + 
      421*T1^16*T2^12 - 15*T1^17*T2^12 + 24*T1^18*T2^12 + 36*T1^19*T2^12 + 
      27*T1^20*T2^12 - 36*T1^3*T2^13 - 24*T1^4*T2^13 - 31*T1^5*T2^13 + 
      39*T1^6*T2^13 - 545*T1^7*T2^13 + 104*T1^8*T2^13 - 493*T1^9*T2^13 + 
      192*T1^10*T2^13 + 34*T1^11*T2^13 + 34*T1^12*T2^13 + 192*T1^13*T2^13 - 
      493*T1^14*T2^13 + 104*T1^15*T2^13 - 545*T1^16*T2^13 + 39*T1^17*T2^13 - 
      31*T1^18*T2^13 - 24*T1^19*T2^13 - 36*T1^20*T2^13 + 42*T1^4*T2^14 + 
      12*T1^5*T2^14 + 9*T1^6*T2^14 + 39*T1^7*T2^14 + 421*T1^8*T2^14 - 
      55*T1^9*T2^14 + 460*T1^10*T2^14 - 493*T1^11*T2^14 + 340*T1^12*T2^14 - 
      493*T1^13*T2^14 + 460*T1^14*T2^14 - 55*T1^15*T2^14 + 421*T1^16*T2^14 + 
      39*T1^17*T2^14 + 9*T1^18*T2^14 + 12*T1^19*T2^14 + 42*T1^20*T2^14 - 
      45*T1^5*T2^15 + 12*T1^6*T2^15 - 31*T1^7*T2^15 - 15*T1^8*T2^15 - 
      372*T1^9*T2^15 - 30*T1^10*T2^15 - 55*T1^11*T2^15 + 104*T1^12*T2^15 + 
      104*T1^13*T2^15 - 55*T1^14*T2^15 - 30*T1^15*T2^15 - 372*T1^16*T2^15 - 
      15*T1^17*T2^15 - 31*T1^18*T2^15 + 12*T1^19*T2^15 - 45*T1^20*T2^15 + 
      42*T1^6*T2^16 - 24*T1^7*T2^16 + 24*T1^8*T2^16 - 3*T1^9*T2^16 + 
      451*T1^10*T2^16 - 372*T1^11*T2^16 + 421*T1^12*T2^16 - 545*T1^13*T2^16 + 
      421*T1^14*T2^16 - 372*T1^15*T2^16 + 451*T1^16*T2^16 - 3*T1^17*T2^16 + 
      24*T1^18*T2^16 - 24*T1^19*T2^16 + 42*T1^20*T2^16 - 36*T1^7*T2^17 + 
      36*T1^8*T2^17 + 10*T1^9*T2^17 - 164*T1^10*T2^17 - 3*T1^11*T2^17 - 
      15*T1^12*T2^17 + 39*T1^13*T2^17 + 39*T1^14*T2^17 - 15*T1^15*T2^17 - 
      3*T1^16*T2^17 - 164*T1^17*T2^17 + 10*T1^18*T2^17 + 36*T1^19*T2^17 - 
      36*T1^20*T2^17 + 27*T1^8*T2^18 - 60*T1^9*T2^18 + 75*T1^10*T2^18 + 
      10*T1^11*T2^18 + 24*T1^12*T2^18 - 31*T1^13*T2^18 + 9*T1^14*T2^18 - 
      31*T1^15*T2^18 + 24*T1^16*T2^18 + 10*T1^17*T2^18 + 75*T1^18*T2^18 - 
      60*T1^19*T2^18 + 27*T1^20*T2^18 - 12*T1^9*T2^19 + 36*T1^10*T2^19 - 
      60*T1^11*T2^19 + 36*T1^12*T2^19 - 24*T1^13*T2^19 + 12*T1^14*T2^19 + 
      12*T1^15*T2^19 - 24*T1^16*T2^19 + 36*T1^17*T2^19 - 60*T1^18*T2^19 + 
      36*T1^19*T2^19 - 12*T1^20*T2^19 + 3*T1^10*T2^20 - 12*T1^11*T2^20 + 
      27*T1^12*T2^20 - 36*T1^13*T2^20 + 42*T1^14*T2^20 - 45*T1^15*T2^20 + 
      42*T1^16*T2^20 - 36*T1^17*T2^20 + 27*T1^18*T2^20 - 12*T1^19*T2^20 + 
      3*T1^20*T2^20)/(T1^10*T2^10))}, 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, -((17 - 76*T1 + 185*T1^2 - 268*T1^3 + 293*T1^4 - 268*T1^5 + 
      185*T1^6 - 76*T1^7 + 17*T1^8 - 76*T2 + 264*T1*T2 - 488*T1^2*T2 + 
      372*T1^3*T2 - 112*T1^4*T2 - 112*T1^5*T2 + 372*T1^6*T2 - 488*T1^7*T2 + 
      264*T1^8*T2 - 76*T1^9*T2 + 185*T2^2 - 488*T1*T2^2 + 656*T1^2*T2^2 + 
      44*T1^3*T2^2 - 350*T1^4*T2^2 + 266*T1^5*T2^2 - 350*T1^6*T2^2 + 
      44*T1^7*T2^2 + 656*T1^8*T2^2 - 488*T1^9*T2^2 + 185*T1^10*T2^2 - 
      268*T2^3 + 372*T1*T2^3 + 44*T1^2*T2^3 - 1560*T1^3*T2^3 + 
      948*T1^4*T2^3 - 60*T1^5*T2^3 - 60*T1^6*T2^3 + 948*T1^7*T2^3 - 
      1560*T1^8*T2^3 + 44*T1^9*T2^3 + 372*T1^10*T2^3 - 268*T1^11*T2^3 + 
      293*T2^4 - 112*T1*T2^4 - 350*T1^2*T2^4 + 948*T1^3*T2^4 + 
      2517*T1^4*T2^4 - 3866*T1^5*T2^4 + 3367*T1^6*T2^4 - 3866*T1^7*T2^4 + 
      2517*T1^8*T2^4 + 948*T1^9*T2^4 - 350*T1^10*T2^4 - 112*T1^11*T2^4 + 
      293*T1^12*T2^4 - 268*T2^5 - 112*T1*T2^5 + 266*T1^2*T2^5 - 
      60*T1^3*T2^5 - 3866*T1^4*T2^5 + 2114*T1^5*T2^5 + 69*T1^6*T2^5 + 
      69*T1^7*T2^5 + 2114*T1^8*T2^5 - 3866*T1^9*T2^5 - 60*T1^10*T2^5 + 
      266*T1^11*T2^5 - 112*T1^12*T2^5 - 268*T1^13*T2^5 + 185*T2^6 + 
      372*T1*T2^6 - 350*T1^2*T2^6 - 60*T1^3*T2^6 + 3367*T1^4*T2^6 + 
      69*T1^5*T2^6 - 420*T1^6*T2^6 - 1184*T1^7*T2^6 - 420*T1^8*T2^6 + 
      69*T1^9*T2^6 + 3367*T1^10*T2^6 - 60*T1^11*T2^6 - 350*T1^12*T2^6 + 
      372*T1^13*T2^6 + 185*T1^14*T2^6 - 76*T2^7 - 488*T1*T2^7 + 
      44*T1^2*T2^7 + 948*T1^3*T2^7 - 3866*T1^4*T2^7 + 69*T1^5*T2^7 - 
      1184*T1^6*T2^7 + 1474*T1^7*T2^7 + 1474*T1^8*T2^7 - 1184*T1^9*T2^7 + 
      69*T1^10*T2^7 - 3866*T1^11*T2^7 + 948*T1^12*T2^7 + 44*T1^13*T2^7 - 
      488*T1^14*T2^7 - 76*T1^15*T2^7 + 17*T2^8 + 264*T1*T2^8 + 
      656*T1^2*T2^8 - 1560*T1^3*T2^8 + 2517*T1^4*T2^8 + 2114*T1^5*T2^8 - 
      420*T1^6*T2^8 + 1474*T1^7*T2^8 - 3600*T1^8*T2^8 + 1474*T1^9*T2^8 - 
      420*T1^10*T2^8 + 2114*T1^11*T2^8 + 2517*T1^12*T2^8 - 1560*T1^13*T2^8 + 
      656*T1^14*T2^8 + 264*T1^15*T2^8 + 17*T1^16*T2^8 - 76*T1*T2^9 - 
      488*T1^2*T2^9 + 44*T1^3*T2^9 + 948*T1^4*T2^9 - 3866*T1^5*T2^9 + 
      69*T1^6*T2^9 - 1184*T1^7*T2^9 + 1474*T1^8*T2^9 + 1474*T1^9*T2^9 - 
      1184*T1^10*T2^9 + 69*T1^11*T2^9 - 3866*T1^12*T2^9 + 948*T1^13*T2^9 + 
      44*T1^14*T2^9 - 488*T1^15*T2^9 - 76*T1^16*T2^9 + 185*T1^2*T2^10 + 
      372*T1^3*T2^10 - 350*T1^4*T2^10 - 60*T1^5*T2^10 + 3367*T1^6*T2^10 + 
      69*T1^7*T2^10 - 420*T1^8*T2^10 - 1184*T1^9*T2^10 - 420*T1^10*T2^10 + 
      69*T1^11*T2^10 + 3367*T1^12*T2^10 - 60*T1^13*T2^10 - 350*T1^14*T2^10 + 
      372*T1^15*T2^10 + 185*T1^16*T2^10 - 268*T1^3*T2^11 - 112*T1^4*T2^11 + 
      266*T1^5*T2^11 - 60*T1^6*T2^11 - 3866*T1^7*T2^11 + 2114*T1^8*T2^11 + 
      69*T1^9*T2^11 + 69*T1^10*T2^11 + 2114*T1^11*T2^11 - 3866*T1^12*T2^11 - 
      60*T1^13*T2^11 + 266*T1^14*T2^11 - 112*T1^15*T2^11 - 268*T1^16*T2^11 + 
      293*T1^4*T2^12 - 112*T1^5*T2^12 - 350*T1^6*T2^12 + 948*T1^7*T2^12 + 
      2517*T1^8*T2^12 - 3866*T1^9*T2^12 + 3367*T1^10*T2^12 - 
      3866*T1^11*T2^12 + 2517*T1^12*T2^12 + 948*T1^13*T2^12 - 
      350*T1^14*T2^12 - 112*T1^15*T2^12 + 293*T1^16*T2^12 - 268*T1^5*T2^13 + 
      372*T1^6*T2^13 + 44*T1^7*T2^13 - 1560*T1^8*T2^13 + 948*T1^9*T2^13 - 
      60*T1^10*T2^13 - 60*T1^11*T2^13 + 948*T1^12*T2^13 - 1560*T1^13*T2^13 + 
      44*T1^14*T2^13 + 372*T1^15*T2^13 - 268*T1^16*T2^13 + 185*T1^6*T2^14 - 
      488*T1^7*T2^14 + 656*T1^8*T2^14 + 44*T1^9*T2^14 - 350*T1^10*T2^14 + 
      266*T1^11*T2^14 - 350*T1^12*T2^14 + 44*T1^13*T2^14 + 656*T1^14*T2^14 - 
      488*T1^15*T2^14 + 185*T1^16*T2^14 - 76*T1^7*T2^15 + 264*T1^8*T2^15 - 
      488*T1^9*T2^15 + 372*T1^10*T2^15 - 112*T1^11*T2^15 - 112*T1^12*T2^15 + 
      372*T1^13*T2^15 - 488*T1^14*T2^15 + 264*T1^15*T2^15 - 76*T1^16*T2^15 + 
      17*T1^8*T2^16 - 76*T1^9*T2^16 + 185*T1^10*T2^16 - 268*T1^11*T2^16 + 
      293*T1^12*T2^16 - 268*T1^13*T2^16 + 185*T1^14*T2^16 - 76*T1^15*T2^16 + 
      17*T1^16*T2^16)/(T1^8*T2^8))}, 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, -((17 - 76*T1 + 193*T1^2 - 308*T1^3 + 357*T1^4 - 308*T1^5 + 
      193*T1^6 - 76*T1^7 + 17*T1^8 - 76*T2 + 264*T1*T2 - 524*T1^2*T2 + 
      516*T1^3*T2 - 220*T1^4*T2 - 220*T1^5*T2 + 516*T1^6*T2 - 524*T1^7*T2 + 
      264*T1^8*T2 - 76*T1^9*T2 + 193*T2^2 - 524*T1*T2^2 + 846*T1^2*T2^2 - 
      420*T1^3*T2^2 - 94*T1^4*T2^2 + 368*T1^5*T2^2 - 94*T1^6*T2^2 - 
      420*T1^7*T2^2 + 846*T1^8*T2^2 - 524*T1^9*T2^2 + 193*T1^10*T2^2 - 
      308*T2^3 + 516*T1*T2^3 - 420*T1^2*T2^3 - 898*T1^3*T2^3 + 
      1099*T1^4*T2^3 - 558*T1^5*T2^3 - 558*T1^6*T2^3 + 1099*T1^7*T2^3 - 
      898*T1^8*T2^3 - 420*T1^9*T2^3 + 516*T1^10*T2^3 - 308*T1^11*T2^3 + 
      357*T2^4 - 220*T1*T2^4 - 94*T1^2*T2^4 + 1099*T1^3*T2^4 + 
      1222*T1^4*T2^4 - 3299*T1^5*T2^4 + 4476*T1^6*T2^4 - 3299*T1^7*T2^4 + 
      1222*T1^8*T2^4 + 1099*T1^9*T2^4 - 94*T1^10*T2^4 - 220*T1^11*T2^4 + 
      357*T1^12*T2^4 - 308*T2^5 - 220*T1*T2^5 + 368*T1^2*T2^5 - 
      558*T1^3*T2^5 - 3299*T1^4*T2^5 + 3368*T1^5*T2^5 - 1712*T1^6*T2^5 - 
      1712*T1^7*T2^5 + 3368*T1^8*T2^5 - 3299*T1^9*T2^5 - 558*T1^10*T2^5 + 
      368*T1^11*T2^5 - 220*T1^12*T2^5 - 308*T1^13*T2^5 + 193*T2^6 + 
      516*T1*T2^6 - 94*T1^2*T2^6 - 558*T1^3*T2^6 + 4476*T1^4*T2^6 - 
      1712*T1^5*T2^6 - 196*T1^6*T2^6 + 1790*T1^7*T2^6 - 196*T1^8*T2^6 - 
      1712*T1^9*T2^6 + 4476*T1^10*T2^6 - 558*T1^11*T2^6 - 94*T1^12*T2^6 + 
      516*T1^13*T2^6 + 193*T1^14*T2^6 - 76*T2^7 - 524*T1*T2^7 - 
      420*T1^2*T2^7 + 1099*T1^3*T2^7 - 3299*T1^4*T2^7 - 1712*T1^5*T2^7 + 
      1790*T1^6*T2^7 - 1288*T1^7*T2^7 - 1288*T1^8*T2^7 + 1790*T1^9*T2^7 - 
      1712*T1^10*T2^7 - 3299*T1^11*T2^7 + 1099*T1^12*T2^7 - 420*T1^13*T2^7 - 
      524*T1^14*T2^7 - 76*T1^15*T2^7 + 17*T2^8 + 264*T1*T2^8 + 
      846*T1^2*T2^8 - 898*T1^3*T2^8 + 1222*T1^4*T2^8 + 3368*T1^5*T2^8 - 
      196*T1^6*T2^8 - 1288*T1^7*T2^8 + 2880*T1^8*T2^8 - 1288*T1^9*T2^8 - 
      196*T1^10*T2^8 + 3368*T1^11*T2^8 + 1222*T1^12*T2^8 - 898*T1^13*T2^8 + 
      846*T1^14*T2^8 + 264*T1^15*T2^8 + 17*T1^16*T2^8 - 76*T1*T2^9 - 
      524*T1^2*T2^9 - 420*T1^3*T2^9 + 1099*T1^4*T2^9 - 3299*T1^5*T2^9 - 
      1712*T1^6*T2^9 + 1790*T1^7*T2^9 - 1288*T1^8*T2^9 - 1288*T1^9*T2^9 + 
      1790*T1^10*T2^9 - 1712*T1^11*T2^9 - 3299*T1^12*T2^9 + 1099*T1^13*T2^9 - 
      420*T1^14*T2^9 - 524*T1^15*T2^9 - 76*T1^16*T2^9 + 193*T1^2*T2^10 + 
      516*T1^3*T2^10 - 94*T1^4*T2^10 - 558*T1^5*T2^10 + 4476*T1^6*T2^10 - 
      1712*T1^7*T2^10 - 196*T1^8*T2^10 + 1790*T1^9*T2^10 - 196*T1^10*T2^10 - 
      1712*T1^11*T2^10 + 4476*T1^12*T2^10 - 558*T1^13*T2^10 - 
      94*T1^14*T2^10 + 516*T1^15*T2^10 + 193*T1^16*T2^10 - 308*T1^3*T2^11 - 
      220*T1^4*T2^11 + 368*T1^5*T2^11 - 558*T1^6*T2^11 - 3299*T1^7*T2^11 + 
      3368*T1^8*T2^11 - 1712*T1^9*T2^11 - 1712*T1^10*T2^11 + 
      3368*T1^11*T2^11 - 3299*T1^12*T2^11 - 558*T1^13*T2^11 + 
      368*T1^14*T2^11 - 220*T1^15*T2^11 - 308*T1^16*T2^11 + 357*T1^4*T2^12 - 
      220*T1^5*T2^12 - 94*T1^6*T2^12 + 1099*T1^7*T2^12 + 1222*T1^8*T2^12 - 
      3299*T1^9*T2^12 + 4476*T1^10*T2^12 - 3299*T1^11*T2^12 + 
      1222*T1^12*T2^12 + 1099*T1^13*T2^12 - 94*T1^14*T2^12 - 
      220*T1^15*T2^12 + 357*T1^16*T2^12 - 308*T1^5*T2^13 + 516*T1^6*T2^13 - 
      420*T1^7*T2^13 - 898*T1^8*T2^13 + 1099*T1^9*T2^13 - 558*T1^10*T2^13 - 
      558*T1^11*T2^13 + 1099*T1^12*T2^13 - 898*T1^13*T2^13 - 
      420*T1^14*T2^13 + 516*T1^15*T2^13 - 308*T1^16*T2^13 + 193*T1^6*T2^14 - 
      524*T1^7*T2^14 + 846*T1^8*T2^14 - 420*T1^9*T2^14 - 94*T1^10*T2^14 + 
      368*T1^11*T2^14 - 94*T1^12*T2^14 - 420*T1^13*T2^14 + 846*T1^14*T2^14 - 
      524*T1^15*T2^14 + 193*T1^16*T2^14 - 76*T1^7*T2^15 + 264*T1^8*T2^15 - 
      524*T1^9*T2^15 + 516*T1^10*T2^15 - 220*T1^11*T2^15 - 220*T1^12*T2^15 + 
      516*T1^13*T2^15 - 524*T1^14*T2^15 + 264*T1^15*T2^15 - 76*T1^16*T2^15 + 
      17*T1^8*T2^16 - 76*T1^9*T2^16 + 193*T1^10*T2^16 - 308*T1^11*T2^16 + 
      357*T1^12*T2^16 - 308*T1^13*T2^16 + 193*T1^14*T2^16 - 76*T1^15*T2^16 + 
      17*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 1117] -> 
  {-(((2 - 3*T + 2*T^2)*(2 - 10*T + 15*T^2 - 10*T^3 + 2*T^4))/T^3), 
   -((132 - 848*T1 + 2066*T1^2 - 2738*T1^3 + 2066*T1^4 - 848*T1^5 + 
      132*T1^6 - 848*T2 + 4600*T1*T2 - 7838*T1^2*T2 + 4324*T1^3*T2 + 
      4324*T1^4*T2 - 7838*T1^5*T2 + 4600*T1^6*T2 - 848*T1^7*T2 + 2066*T2^2 - 
      7838*T1*T2^2 - 207*T1^2*T2^2 + 28213*T1^3*T2^2 - 47053*T1^4*T2^2 + 
      28213*T1^5*T2^2 - 207*T1^6*T2^2 - 7838*T1^7*T2^2 + 2066*T1^8*T2^2 - 
      2738*T2^3 + 4324*T1*T2^3 + 28213*T1^2*T2^3 - 67094*T1^3*T2^3 + 
      41434*T1^4*T2^3 + 41434*T1^5*T2^3 - 67094*T1^6*T2^3 + 28213*T1^7*T2^3 + 
      4324*T1^8*T2^3 - 2738*T1^9*T2^3 + 2066*T2^4 + 4324*T1*T2^4 - 
      47053*T1^2*T2^4 + 41434*T1^3*T2^4 + 63502*T1^4*T2^4 - 
      146380*T1^5*T2^4 + 63502*T1^6*T2^4 + 41434*T1^7*T2^4 - 
      47053*T1^8*T2^4 + 4324*T1^9*T2^4 + 2066*T1^10*T2^4 - 848*T2^5 - 
      7838*T1*T2^5 + 28213*T1^2*T2^5 + 41434*T1^3*T2^5 - 146380*T1^4*T2^5 + 
      99242*T1^5*T2^5 + 99242*T1^6*T2^5 - 146380*T1^7*T2^5 + 
      41434*T1^8*T2^5 + 28213*T1^9*T2^5 - 7838*T1^10*T2^5 - 848*T1^11*T2^5 + 
      132*T2^6 + 4600*T1*T2^6 - 207*T1^2*T2^6 - 67094*T1^3*T2^6 + 
      63502*T1^4*T2^6 + 99242*T1^5*T2^6 - 232236*T1^6*T2^6 + 
      99242*T1^7*T2^6 + 63502*T1^8*T2^6 - 67094*T1^9*T2^6 - 207*T1^10*T2^6 + 
      4600*T1^11*T2^6 + 132*T1^12*T2^6 - 848*T1*T2^7 - 7838*T1^2*T2^7 + 
      28213*T1^3*T2^7 + 41434*T1^4*T2^7 - 146380*T1^5*T2^7 + 
      99242*T1^6*T2^7 + 99242*T1^7*T2^7 - 146380*T1^8*T2^7 + 
      41434*T1^9*T2^7 + 28213*T1^10*T2^7 - 7838*T1^11*T2^7 - 848*T1^12*T2^7 + 
      2066*T1^2*T2^8 + 4324*T1^3*T2^8 - 47053*T1^4*T2^8 + 41434*T1^5*T2^8 + 
      63502*T1^6*T2^8 - 146380*T1^7*T2^8 + 63502*T1^8*T2^8 + 
      41434*T1^9*T2^8 - 47053*T1^10*T2^8 + 4324*T1^11*T2^8 + 
      2066*T1^12*T2^8 - 2738*T1^3*T2^9 + 4324*T1^4*T2^9 + 28213*T1^5*T2^9 - 
      67094*T1^6*T2^9 + 41434*T1^7*T2^9 + 41434*T1^8*T2^9 - 67094*T1^9*T2^9 + 
      28213*T1^10*T2^9 + 4324*T1^11*T2^9 - 2738*T1^12*T2^9 + 
      2066*T1^4*T2^10 - 7838*T1^5*T2^10 - 207*T1^6*T2^10 + 28213*T1^7*T2^10 - 
      47053*T1^8*T2^10 + 28213*T1^9*T2^10 - 207*T1^10*T2^10 - 
      7838*T1^11*T2^10 + 2066*T1^12*T2^10 - 848*T1^5*T2^11 + 
      4600*T1^6*T2^11 - 7838*T1^7*T2^11 + 4324*T1^8*T2^11 + 4324*T1^9*T2^11 - 
      7838*T1^10*T2^11 + 4600*T1^11*T2^11 - 848*T1^12*T2^11 + 
      132*T1^6*T2^12 - 848*T1^7*T2^12 + 2066*T1^8*T2^12 - 2738*T1^9*T2^12 + 
      2066*T1^10*T2^12 - 848*T1^11*T2^12 + 132*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 1118] -> 
  {(3 - 12*T + 26*T^2 - 33*T^3 + 26*T^4 - 12*T^5 + 3*T^6)/T^3, 
   -((36 - 144*T1 + 310*T1^2 - 390*T1^3 + 310*T1^4 - 144*T1^5 + 36*T1^6 - 
      144*T2 + 432*T1*T2 - 664*T1^2*T2 + 320*T1^3*T2 + 320*T1^4*T2 - 
      664*T1^5*T2 + 432*T1^6*T2 - 144*T1^7*T2 + 310*T2^2 - 664*T1*T2^2 + 
      634*T1^2*T2^2 + 504*T1^3*T2^2 - 1116*T1^4*T2^2 + 504*T1^5*T2^2 + 
      634*T1^6*T2^2 - 664*T1^7*T2^2 + 310*T1^8*T2^2 - 390*T2^3 + 
      320*T1*T2^3 + 504*T1^2*T2^3 - 2186*T1^3*T2^3 + 1167*T1^4*T2^3 + 
      1167*T1^5*T2^3 - 2186*T1^6*T2^3 + 504*T1^7*T2^3 + 320*T1^8*T2^3 - 
      390*T1^9*T2^3 + 310*T2^4 + 320*T1*T2^4 - 1116*T1^2*T2^4 + 
      1167*T1^3*T2^4 + 2929*T1^4*T2^4 - 5045*T1^5*T2^4 + 2929*T1^6*T2^4 + 
      1167*T1^7*T2^4 - 1116*T1^8*T2^4 + 320*T1^9*T2^4 + 310*T1^10*T2^4 - 
      144*T2^5 - 664*T1*T2^5 + 504*T1^2*T2^5 + 1167*T1^3*T2^5 - 
      5045*T1^4*T2^5 + 2638*T1^5*T2^5 + 2638*T1^6*T2^5 - 5045*T1^7*T2^5 + 
      1167*T1^8*T2^5 + 504*T1^9*T2^5 - 664*T1^10*T2^5 - 144*T1^11*T2^5 + 
      36*T2^6 + 432*T1*T2^6 + 634*T1^2*T2^6 - 2186*T1^3*T2^6 + 
      2929*T1^4*T2^6 + 2638*T1^5*T2^6 - 5508*T1^6*T2^6 + 2638*T1^7*T2^6 + 
      2929*T1^8*T2^6 - 2186*T1^9*T2^6 + 634*T1^10*T2^6 + 432*T1^11*T2^6 + 
      36*T1^12*T2^6 - 144*T1*T2^7 - 664*T1^2*T2^7 + 504*T1^3*T2^7 + 
      1167*T1^4*T2^7 - 5045*T1^5*T2^7 + 2638*T1^6*T2^7 + 2638*T1^7*T2^7 - 
      5045*T1^8*T2^7 + 1167*T1^9*T2^7 + 504*T1^10*T2^7 - 664*T1^11*T2^7 - 
      144*T1^12*T2^7 + 310*T1^2*T2^8 + 320*T1^3*T2^8 - 1116*T1^4*T2^8 + 
      1167*T1^5*T2^8 + 2929*T1^6*T2^8 - 5045*T1^7*T2^8 + 2929*T1^8*T2^8 + 
      1167*T1^9*T2^8 - 1116*T1^10*T2^8 + 320*T1^11*T2^8 + 310*T1^12*T2^8 - 
      390*T1^3*T2^9 + 320*T1^4*T2^9 + 504*T1^5*T2^9 - 2186*T1^6*T2^9 + 
      1167*T1^7*T2^9 + 1167*T1^8*T2^9 - 2186*T1^9*T2^9 + 504*T1^10*T2^9 + 
      320*T1^11*T2^9 - 390*T1^12*T2^9 + 310*T1^4*T2^10 - 664*T1^5*T2^10 + 
      634*T1^6*T2^10 + 504*T1^7*T2^10 - 1116*T1^8*T2^10 + 504*T1^9*T2^10 + 
      634*T1^10*T2^10 - 664*T1^11*T2^10 + 310*T1^12*T2^10 - 144*T1^5*T2^11 + 
      432*T1^6*T2^11 - 664*T1^7*T2^11 + 320*T1^8*T2^11 + 320*T1^9*T2^11 - 
      664*T1^10*T2^11 + 432*T1^11*T2^11 - 144*T1^12*T2^11 + 36*T1^6*T2^12 - 
      144*T1^7*T2^12 + 310*T1^8*T2^12 - 390*T1^9*T2^12 + 310*T1^10*T2^12 - 
      144*T1^11*T2^12 + 36*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   (1 - 4*T1 + 9*T1^2 - 14*T1^3 + 17*T1^4 - 14*T1^5 + 9*T1^6 - 4*T1^7 + 
     T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 20*T1^3*T2 - 12*T1^4*T2 - 
     12*T1^5*T2 + 20*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 9*T2^2 - 
     20*T1*T2^2 + 24*T1^2*T2^2 - 20*T1^3*T2^2 + 25*T1^4*T2^2 - 4*T1^5*T2^2 + 
     25*T1^6*T2^2 - 20*T1^7*T2^2 + 24*T1^8*T2^2 - 20*T1^9*T2^2 + 
     9*T1^10*T2^2 - 14*T2^3 + 20*T1*T2^3 - 20*T1^2*T2^3 + 46*T1^3*T2^3 - 
     89*T1^4*T2^3 + 9*T1^5*T2^3 + 9*T1^6*T2^3 - 89*T1^7*T2^3 + 46*T1^8*T2^3 - 
     20*T1^9*T2^3 + 20*T1^10*T2^3 - 14*T1^11*T2^3 + 17*T2^4 - 12*T1*T2^4 + 
     25*T1^2*T2^4 - 89*T1^3*T2^4 + 59*T1^4*T2^4 + 251*T1^5*T2^4 - 
     251*T1^6*T2^4 + 251*T1^7*T2^4 + 59*T1^8*T2^4 - 89*T1^9*T2^4 + 
     25*T1^10*T2^4 - 12*T1^11*T2^4 + 17*T1^12*T2^4 - 14*T2^5 - 12*T1*T2^5 - 
     4*T1^2*T2^5 + 9*T1^3*T2^5 + 251*T1^4*T2^5 - 650*T1^5*T2^5 + 
     144*T1^6*T2^5 + 144*T1^7*T2^5 - 650*T1^8*T2^5 + 251*T1^9*T2^5 + 
     9*T1^10*T2^5 - 4*T1^11*T2^5 - 12*T1^12*T2^5 - 14*T1^13*T2^5 + 9*T2^6 + 
     20*T1*T2^6 + 25*T1^2*T2^6 + 9*T1^3*T2^6 - 251*T1^4*T2^6 + 
     144*T1^5*T2^6 + 1024*T1^6*T2^6 - 984*T1^7*T2^6 + 1024*T1^8*T2^6 + 
     144*T1^9*T2^6 - 251*T1^10*T2^6 + 9*T1^11*T2^6 + 25*T1^12*T2^6 + 
     20*T1^13*T2^6 + 9*T1^14*T2^6 - 4*T2^7 - 20*T1*T2^7 - 20*T1^2*T2^7 - 
     89*T1^3*T2^7 + 251*T1^4*T2^7 + 144*T1^5*T2^7 - 984*T1^6*T2^7 + 
     36*T1^7*T2^7 + 36*T1^8*T2^7 - 984*T1^9*T2^7 + 144*T1^10*T2^7 + 
     251*T1^11*T2^7 - 89*T1^12*T2^7 - 20*T1^13*T2^7 - 20*T1^14*T2^7 - 
     4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 24*T1^2*T2^8 + 46*T1^3*T2^8 + 
     59*T1^4*T2^8 - 650*T1^5*T2^8 + 1024*T1^6*T2^8 + 36*T1^7*T2^8 + 
     432*T1^8*T2^8 + 36*T1^9*T2^8 + 1024*T1^10*T2^8 - 650*T1^11*T2^8 + 
     59*T1^12*T2^8 + 46*T1^13*T2^8 + 24*T1^14*T2^8 + 12*T1^15*T2^8 + 
     T1^16*T2^8 - 4*T1*T2^9 - 20*T1^2*T2^9 - 20*T1^3*T2^9 - 89*T1^4*T2^9 + 
     251*T1^5*T2^9 + 144*T1^6*T2^9 - 984*T1^7*T2^9 + 36*T1^8*T2^9 + 
     36*T1^9*T2^9 - 984*T1^10*T2^9 + 144*T1^11*T2^9 + 251*T1^12*T2^9 - 
     89*T1^13*T2^9 - 20*T1^14*T2^9 - 20*T1^15*T2^9 - 4*T1^16*T2^9 + 
     9*T1^2*T2^10 + 20*T1^3*T2^10 + 25*T1^4*T2^10 + 9*T1^5*T2^10 - 
     251*T1^6*T2^10 + 144*T1^7*T2^10 + 1024*T1^8*T2^10 - 984*T1^9*T2^10 + 
     1024*T1^10*T2^10 + 144*T1^11*T2^10 - 251*T1^12*T2^10 + 9*T1^13*T2^10 + 
     25*T1^14*T2^10 + 20*T1^15*T2^10 + 9*T1^16*T2^10 - 14*T1^3*T2^11 - 
     12*T1^4*T2^11 - 4*T1^5*T2^11 + 9*T1^6*T2^11 + 251*T1^7*T2^11 - 
     650*T1^8*T2^11 + 144*T1^9*T2^11 + 144*T1^10*T2^11 - 650*T1^11*T2^11 + 
     251*T1^12*T2^11 + 9*T1^13*T2^11 - 4*T1^14*T2^11 - 12*T1^15*T2^11 - 
     14*T1^16*T2^11 + 17*T1^4*T2^12 - 12*T1^5*T2^12 + 25*T1^6*T2^12 - 
     89*T1^7*T2^12 + 59*T1^8*T2^12 + 251*T1^9*T2^12 - 251*T1^10*T2^12 + 
     251*T1^11*T2^12 + 59*T1^12*T2^12 - 89*T1^13*T2^12 + 25*T1^14*T2^12 - 
     12*T1^15*T2^12 + 17*T1^16*T2^12 - 14*T1^5*T2^13 + 20*T1^6*T2^13 - 
     20*T1^7*T2^13 + 46*T1^8*T2^13 - 89*T1^9*T2^13 + 9*T1^10*T2^13 + 
     9*T1^11*T2^13 - 89*T1^12*T2^13 + 46*T1^13*T2^13 - 20*T1^14*T2^13 + 
     20*T1^15*T2^13 - 14*T1^16*T2^13 + 9*T1^6*T2^14 - 20*T1^7*T2^14 + 
     24*T1^8*T2^14 - 20*T1^9*T2^14 + 25*T1^10*T2^14 - 4*T1^11*T2^14 + 
     25*T1^12*T2^14 - 20*T1^13*T2^14 + 24*T1^14*T2^14 - 20*T1^15*T2^14 + 
     9*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 20*T1^9*T2^15 + 
     20*T1^10*T2^15 - 12*T1^11*T2^15 - 12*T1^12*T2^15 + 20*T1^13*T2^15 - 
     20*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 
     4*T1^9*T2^16 + 9*T1^10*T2^16 - 14*T1^11*T2^16 + 17*T1^12*T2^16 - 
     14*T1^13*T2^16 + 9*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, 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, -((1 - 4*T1 + 9*T1^2 - 14*T1^3 + 18*T1^4 - 19*T1^5 + 
      18*T1^6 - 14*T1^7 + 9*T1^8 - 4*T1^9 + T1^10 - 4*T2 + 12*T1*T2 - 
      20*T1^2*T2 + 20*T1^3*T2 - 16*T1^4*T2 + 4*T1^5*T2 + 4*T1^6*T2 - 
      16*T1^7*T2 + 20*T1^8*T2 - 20*T1^9*T2 + 12*T1^10*T2 - 4*T1^11*T2 + 
      9*T2^2 - 20*T1*T2^2 + 27*T1^2*T2^2 - 20*T1^3*T2^2 + 21*T1^4*T2^2 - 
      7*T1^5*T2^2 + 15*T1^6*T2^2 - 7*T1^7*T2^2 + 21*T1^8*T2^2 - 
      20*T1^9*T2^2 + 27*T1^10*T2^2 - 20*T1^11*T2^2 + 9*T1^12*T2^2 - 14*T2^3 + 
      20*T1*T2^3 - 20*T1^2*T2^3 + 2*T1^3*T2^3 - 11*T1^4*T2^3 - 21*T1^5*T2^3 - 
      8*T1^6*T2^3 - 8*T1^7*T2^3 - 21*T1^8*T2^3 - 11*T1^9*T2^3 + 
      2*T1^10*T2^3 - 20*T1^11*T2^3 + 20*T1^12*T2^3 - 14*T1^13*T2^3 + 
      18*T2^4 - 16*T1*T2^4 + 21*T1^2*T2^4 - 11*T1^3*T2^4 + 53*T1^4*T2^4 - 
      13*T1^5*T2^4 + 96*T1^6*T2^4 - 63*T1^7*T2^4 + 96*T1^8*T2^4 - 
      13*T1^9*T2^4 + 53*T1^10*T2^4 - 11*T1^11*T2^4 + 21*T1^12*T2^4 - 
      16*T1^13*T2^4 + 18*T1^14*T2^4 - 19*T2^5 + 4*T1*T2^5 - 7*T1^2*T2^5 - 
      21*T1^3*T2^5 - 13*T1^4*T2^5 - 74*T1^5*T2^5 - 52*T1^6*T2^5 - 
      24*T1^7*T2^5 - 24*T1^8*T2^5 - 52*T1^9*T2^5 - 74*T1^10*T2^5 - 
      13*T1^11*T2^5 - 21*T1^12*T2^5 - 7*T1^13*T2^5 + 4*T1^14*T2^5 - 
      19*T1^15*T2^5 + 18*T2^6 + 4*T1*T2^6 + 15*T1^2*T2^6 - 8*T1^3*T2^6 + 
      96*T1^4*T2^6 - 52*T1^5*T2^6 + 285*T1^6*T2^6 - 192*T1^7*T2^6 + 
      263*T1^8*T2^6 - 192*T1^9*T2^6 + 285*T1^10*T2^6 - 52*T1^11*T2^6 + 
      96*T1^12*T2^6 - 8*T1^13*T2^6 + 15*T1^14*T2^6 + 4*T1^15*T2^6 + 
      18*T1^16*T2^6 - 14*T2^7 - 16*T1*T2^7 - 7*T1^2*T2^7 - 8*T1^3*T2^7 - 
      63*T1^4*T2^7 - 24*T1^5*T2^7 - 192*T1^6*T2^7 - 6*T1^7*T2^7 - 
      35*T1^8*T2^7 - 35*T1^9*T2^7 - 6*T1^10*T2^7 - 192*T1^11*T2^7 - 
      24*T1^12*T2^7 - 63*T1^13*T2^7 - 8*T1^14*T2^7 - 7*T1^15*T2^7 - 
      16*T1^16*T2^7 - 14*T1^17*T2^7 + 9*T2^8 + 20*T1*T2^8 + 21*T1^2*T2^8 - 
      21*T1^3*T2^8 + 96*T1^4*T2^8 - 24*T1^5*T2^8 + 263*T1^6*T2^8 - 
      35*T1^7*T2^8 + 132*T1^8*T2^8 - 124*T1^9*T2^8 + 132*T1^10*T2^8 - 
      35*T1^11*T2^8 + 263*T1^12*T2^8 - 24*T1^13*T2^8 + 96*T1^14*T2^8 - 
      21*T1^15*T2^8 + 21*T1^16*T2^8 + 20*T1^17*T2^8 + 9*T1^18*T2^8 - 4*T2^9 - 
      20*T1*T2^9 - 20*T1^2*T2^9 - 11*T1^3*T2^9 - 13*T1^4*T2^9 - 
      52*T1^5*T2^9 - 192*T1^6*T2^9 - 35*T1^7*T2^9 - 124*T1^8*T2^9 + 
      62*T1^9*T2^9 + 62*T1^10*T2^9 - 124*T1^11*T2^9 - 35*T1^12*T2^9 - 
      192*T1^13*T2^9 - 52*T1^14*T2^9 - 13*T1^15*T2^9 - 11*T1^16*T2^9 - 
      20*T1^17*T2^9 - 20*T1^18*T2^9 - 4*T1^19*T2^9 + T2^10 + 12*T1*T2^10 + 
      27*T1^2*T2^10 + 2*T1^3*T2^10 + 53*T1^4*T2^10 - 74*T1^5*T2^10 + 
      285*T1^6*T2^10 - 6*T1^7*T2^10 + 132*T1^8*T2^10 + 62*T1^9*T2^10 - 
      168*T1^10*T2^10 + 62*T1^11*T2^10 + 132*T1^12*T2^10 - 6*T1^13*T2^10 + 
      285*T1^14*T2^10 - 74*T1^15*T2^10 + 53*T1^16*T2^10 + 2*T1^17*T2^10 + 
      27*T1^18*T2^10 + 12*T1^19*T2^10 + T1^20*T2^10 - 4*T1*T2^11 - 
      20*T1^2*T2^11 - 20*T1^3*T2^11 - 11*T1^4*T2^11 - 13*T1^5*T2^11 - 
      52*T1^6*T2^11 - 192*T1^7*T2^11 - 35*T1^8*T2^11 - 124*T1^9*T2^11 + 
      62*T1^10*T2^11 + 62*T1^11*T2^11 - 124*T1^12*T2^11 - 35*T1^13*T2^11 - 
      192*T1^14*T2^11 - 52*T1^15*T2^11 - 13*T1^16*T2^11 - 11*T1^17*T2^11 - 
      20*T1^18*T2^11 - 20*T1^19*T2^11 - 4*T1^20*T2^11 + 9*T1^2*T2^12 + 
      20*T1^3*T2^12 + 21*T1^4*T2^12 - 21*T1^5*T2^12 + 96*T1^6*T2^12 - 
      24*T1^7*T2^12 + 263*T1^8*T2^12 - 35*T1^9*T2^12 + 132*T1^10*T2^12 - 
      124*T1^11*T2^12 + 132*T1^12*T2^12 - 35*T1^13*T2^12 + 263*T1^14*T2^12 - 
      24*T1^15*T2^12 + 96*T1^16*T2^12 - 21*T1^17*T2^12 + 21*T1^18*T2^12 + 
      20*T1^19*T2^12 + 9*T1^20*T2^12 - 14*T1^3*T2^13 - 16*T1^4*T2^13 - 
      7*T1^5*T2^13 - 8*T1^6*T2^13 - 63*T1^7*T2^13 - 24*T1^8*T2^13 - 
      192*T1^9*T2^13 - 6*T1^10*T2^13 - 35*T1^11*T2^13 - 35*T1^12*T2^13 - 
      6*T1^13*T2^13 - 192*T1^14*T2^13 - 24*T1^15*T2^13 - 63*T1^16*T2^13 - 
      8*T1^17*T2^13 - 7*T1^18*T2^13 - 16*T1^19*T2^13 - 14*T1^20*T2^13 + 
      18*T1^4*T2^14 + 4*T1^5*T2^14 + 15*T1^6*T2^14 - 8*T1^7*T2^14 + 
      96*T1^8*T2^14 - 52*T1^9*T2^14 + 285*T1^10*T2^14 - 192*T1^11*T2^14 + 
      263*T1^12*T2^14 - 192*T1^13*T2^14 + 285*T1^14*T2^14 - 52*T1^15*T2^14 + 
      96*T1^16*T2^14 - 8*T1^17*T2^14 + 15*T1^18*T2^14 + 4*T1^19*T2^14 + 
      18*T1^20*T2^14 - 19*T1^5*T2^15 + 4*T1^6*T2^15 - 7*T1^7*T2^15 - 
      21*T1^8*T2^15 - 13*T1^9*T2^15 - 74*T1^10*T2^15 - 52*T1^11*T2^15 - 
      24*T1^12*T2^15 - 24*T1^13*T2^15 - 52*T1^14*T2^15 - 74*T1^15*T2^15 - 
      13*T1^16*T2^15 - 21*T1^17*T2^15 - 7*T1^18*T2^15 + 4*T1^19*T2^15 - 
      19*T1^20*T2^15 + 18*T1^6*T2^16 - 16*T1^7*T2^16 + 21*T1^8*T2^16 - 
      11*T1^9*T2^16 + 53*T1^10*T2^16 - 13*T1^11*T2^16 + 96*T1^12*T2^16 - 
      63*T1^13*T2^16 + 96*T1^14*T2^16 - 13*T1^15*T2^16 + 53*T1^16*T2^16 - 
      11*T1^17*T2^16 + 21*T1^18*T2^16 - 16*T1^19*T2^16 + 18*T1^20*T2^16 - 
      14*T1^7*T2^17 + 20*T1^8*T2^17 - 20*T1^9*T2^17 + 2*T1^10*T2^17 - 
      11*T1^11*T2^17 - 21*T1^12*T2^17 - 8*T1^13*T2^17 - 8*T1^14*T2^17 - 
      21*T1^15*T2^17 - 11*T1^16*T2^17 + 2*T1^17*T2^17 - 20*T1^18*T2^17 + 
      20*T1^19*T2^17 - 14*T1^20*T2^17 + 9*T1^8*T2^18 - 20*T1^9*T2^18 + 
      27*T1^10*T2^18 - 20*T1^11*T2^18 + 21*T1^12*T2^18 - 7*T1^13*T2^18 + 
      15*T1^14*T2^18 - 7*T1^15*T2^18 + 21*T1^16*T2^18 - 20*T1^17*T2^18 + 
      27*T1^18*T2^18 - 20*T1^19*T2^18 + 9*T1^20*T2^18 - 4*T1^9*T2^19 + 
      12*T1^10*T2^19 - 20*T1^11*T2^19 + 20*T1^12*T2^19 - 16*T1^13*T2^19 + 
      4*T1^14*T2^19 + 4*T1^15*T2^19 - 16*T1^16*T2^19 + 20*T1^17*T2^19 - 
      20*T1^18*T2^19 + 12*T1^19*T2^19 - 4*T1^20*T2^19 + T1^10*T2^20 - 
      4*T1^11*T2^20 + 9*T1^12*T2^20 - 14*T1^13*T2^20 + 18*T1^14*T2^20 - 
      19*T1^15*T2^20 + 18*T1^16*T2^20 - 14*T1^17*T2^20 + 9*T1^18*T2^20 - 
      4*T1^19*T2^20 + T1^20*T2^20)/(T1^10*T2^10))}, 
 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, -((1 - 4*T1 + 9*T1^2 - 14*T1^3 + 17*T1^4 - 14*T1^5 + 9*T1^6 - 
      4*T1^7 + T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 20*T1^3*T2 - 
      12*T1^4*T2 - 12*T1^5*T2 + 20*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 
      4*T1^9*T2 + 9*T2^2 - 20*T1*T2^2 + 34*T1^2*T2^2 - 42*T1^3*T2^2 + 
      62*T1^4*T2^2 - 48*T1^5*T2^2 + 62*T1^6*T2^2 - 42*T1^7*T2^2 + 
      34*T1^8*T2^2 - 20*T1^9*T2^2 + 9*T1^10*T2^2 - 14*T2^3 + 20*T1*T2^3 - 
      42*T1^2*T2^3 + 46*T1^3*T2^3 - 86*T1^4*T2^3 + 14*T1^5*T2^3 + 
      14*T1^6*T2^3 - 86*T1^7*T2^3 + 46*T1^8*T2^3 - 42*T1^9*T2^3 + 
      20*T1^10*T2^3 - 14*T1^11*T2^3 + 17*T2^4 - 12*T1*T2^4 + 62*T1^2*T2^4 - 
      86*T1^3*T2^4 + 241*T1^4*T2^4 - 169*T1^5*T2^4 + 205*T1^6*T2^4 - 
      169*T1^7*T2^4 + 241*T1^8*T2^4 - 86*T1^9*T2^4 + 62*T1^10*T2^4 - 
      12*T1^11*T2^4 + 17*T1^12*T2^4 - 14*T2^5 - 12*T1*T2^5 - 48*T1^2*T2^5 + 
      14*T1^3*T2^5 - 169*T1^4*T2^5 - 100*T1^5*T2^5 + 14*T1^6*T2^5 + 
      14*T1^7*T2^5 - 100*T1^8*T2^5 - 169*T1^9*T2^5 + 14*T1^10*T2^5 - 
      48*T1^11*T2^5 - 12*T1^12*T2^5 - 14*T1^13*T2^5 + 9*T2^6 + 20*T1*T2^6 + 
      62*T1^2*T2^6 + 14*T1^3*T2^6 + 205*T1^4*T2^6 + 14*T1^5*T2^6 + 
      516*T1^6*T2^6 - 638*T1^7*T2^6 + 516*T1^8*T2^6 + 14*T1^9*T2^6 + 
      205*T1^10*T2^6 + 14*T1^11*T2^6 + 62*T1^12*T2^6 + 20*T1^13*T2^6 + 
      9*T1^14*T2^6 - 4*T2^7 - 20*T1*T2^7 - 42*T1^2*T2^7 - 86*T1^3*T2^7 - 
      169*T1^4*T2^7 + 14*T1^5*T2^7 - 638*T1^6*T2^7 + 240*T1^7*T2^7 + 
      240*T1^8*T2^7 - 638*T1^9*T2^7 + 14*T1^10*T2^7 - 169*T1^11*T2^7 - 
      86*T1^12*T2^7 - 42*T1^13*T2^7 - 20*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 
      12*T1*T2^8 + 34*T1^2*T2^8 + 46*T1^3*T2^8 + 241*T1^4*T2^8 - 
      100*T1^5*T2^8 + 516*T1^6*T2^8 + 240*T1^7*T2^8 - 420*T1^8*T2^8 + 
      240*T1^9*T2^8 + 516*T1^10*T2^8 - 100*T1^11*T2^8 + 241*T1^12*T2^8 + 
      46*T1^13*T2^8 + 34*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 
      4*T1*T2^9 - 20*T1^2*T2^9 - 42*T1^3*T2^9 - 86*T1^4*T2^9 - 
      169*T1^5*T2^9 + 14*T1^6*T2^9 - 638*T1^7*T2^9 + 240*T1^8*T2^9 + 
      240*T1^9*T2^9 - 638*T1^10*T2^9 + 14*T1^11*T2^9 - 169*T1^12*T2^9 - 
      86*T1^13*T2^9 - 42*T1^14*T2^9 - 20*T1^15*T2^9 - 4*T1^16*T2^9 + 
      9*T1^2*T2^10 + 20*T1^3*T2^10 + 62*T1^4*T2^10 + 14*T1^5*T2^10 + 
      205*T1^6*T2^10 + 14*T1^7*T2^10 + 516*T1^8*T2^10 - 638*T1^9*T2^10 + 
      516*T1^10*T2^10 + 14*T1^11*T2^10 + 205*T1^12*T2^10 + 14*T1^13*T2^10 + 
      62*T1^14*T2^10 + 20*T1^15*T2^10 + 9*T1^16*T2^10 - 14*T1^3*T2^11 - 
      12*T1^4*T2^11 - 48*T1^5*T2^11 + 14*T1^6*T2^11 - 169*T1^7*T2^11 - 
      100*T1^8*T2^11 + 14*T1^9*T2^11 + 14*T1^10*T2^11 - 100*T1^11*T2^11 - 
      169*T1^12*T2^11 + 14*T1^13*T2^11 - 48*T1^14*T2^11 - 12*T1^15*T2^11 - 
      14*T1^16*T2^11 + 17*T1^4*T2^12 - 12*T1^5*T2^12 + 62*T1^6*T2^12 - 
      86*T1^7*T2^12 + 241*T1^8*T2^12 - 169*T1^9*T2^12 + 205*T1^10*T2^12 - 
      169*T1^11*T2^12 + 241*T1^12*T2^12 - 86*T1^13*T2^12 + 62*T1^14*T2^12 - 
      12*T1^15*T2^12 + 17*T1^16*T2^12 - 14*T1^5*T2^13 + 20*T1^6*T2^13 - 
      42*T1^7*T2^13 + 46*T1^8*T2^13 - 86*T1^9*T2^13 + 14*T1^10*T2^13 + 
      14*T1^11*T2^13 - 86*T1^12*T2^13 + 46*T1^13*T2^13 - 42*T1^14*T2^13 + 
      20*T1^15*T2^13 - 14*T1^16*T2^13 + 9*T1^6*T2^14 - 20*T1^7*T2^14 + 
      34*T1^8*T2^14 - 42*T1^9*T2^14 + 62*T1^10*T2^14 - 48*T1^11*T2^14 + 
      62*T1^12*T2^14 - 42*T1^13*T2^14 + 34*T1^14*T2^14 - 20*T1^15*T2^14 + 
      9*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 20*T1^9*T2^15 + 
      20*T1^10*T2^15 - 12*T1^11*T2^15 - 12*T1^12*T2^15 + 20*T1^13*T2^15 - 
      20*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 
      4*T1^9*T2^16 + 9*T1^10*T2^16 - 14*T1^11*T2^16 + 17*T1^12*T2^16 - 
      14*T1^13*T2^16 + 9*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, 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, 
   (8*T1 - 24*T1^2 + 38*T1^3 - 24*T1^4 + 8*T1^5 + 8*T2 - 76*T1*T2 + 
     140*T1^2*T2 - 106*T1^3*T2 - 106*T1^4*T2 + 140*T1^5*T2 - 76*T1^6*T2 + 
     8*T1^7*T2 - 24*T2^2 + 140*T1*T2^2 + 64*T1^2*T2^2 - 657*T1^3*T2^2 + 
     1322*T1^4*T2^2 - 657*T1^5*T2^2 + 64*T1^6*T2^2 + 140*T1^7*T2^2 - 
     24*T1^8*T2^2 + 38*T2^3 - 106*T1*T2^3 - 657*T1^2*T2^3 + 1514*T1^3*T2^3 - 
     1407*T1^4*T2^3 - 1407*T1^5*T2^3 + 1514*T1^6*T2^3 - 657*T1^7*T2^3 - 
     106*T1^8*T2^3 + 38*T1^9*T2^3 - 24*T2^4 - 106*T1*T2^4 + 1322*T1^2*T2^4 - 
     1407*T1^3*T2^4 - 399*T1^4*T2^4 + 4055*T1^5*T2^4 - 399*T1^6*T2^4 - 
     1407*T1^7*T2^4 + 1322*T1^8*T2^4 - 106*T1^9*T2^4 - 24*T1^10*T2^4 + 
     8*T2^5 + 140*T1*T2^5 - 657*T1^2*T2^5 - 1407*T1^3*T2^5 + 4055*T1^4*T2^5 - 
     4432*T1^5*T2^5 - 4432*T1^6*T2^5 + 4055*T1^7*T2^5 - 1407*T1^8*T2^5 - 
     657*T1^9*T2^5 + 140*T1^10*T2^5 + 8*T1^11*T2^5 - 76*T1*T2^6 + 
     64*T1^2*T2^6 + 1514*T1^3*T2^6 - 399*T1^4*T2^6 - 4432*T1^5*T2^6 + 
     12036*T1^6*T2^6 - 4432*T1^7*T2^6 - 399*T1^8*T2^6 + 1514*T1^9*T2^6 + 
     64*T1^10*T2^6 - 76*T1^11*T2^6 + 8*T1*T2^7 + 140*T1^2*T2^7 - 
     657*T1^3*T2^7 - 1407*T1^4*T2^7 + 4055*T1^5*T2^7 - 4432*T1^6*T2^7 - 
     4432*T1^7*T2^7 + 4055*T1^8*T2^7 - 1407*T1^9*T2^7 - 657*T1^10*T2^7 + 
     140*T1^11*T2^7 + 8*T1^12*T2^7 - 24*T1^2*T2^8 - 106*T1^3*T2^8 + 
     1322*T1^4*T2^8 - 1407*T1^5*T2^8 - 399*T1^6*T2^8 + 4055*T1^7*T2^8 - 
     399*T1^8*T2^8 - 1407*T1^9*T2^8 + 1322*T1^10*T2^8 - 106*T1^11*T2^8 - 
     24*T1^12*T2^8 + 38*T1^3*T2^9 - 106*T1^4*T2^9 - 657*T1^5*T2^9 + 
     1514*T1^6*T2^9 - 1407*T1^7*T2^9 - 1407*T1^8*T2^9 + 1514*T1^9*T2^9 - 
     657*T1^10*T2^9 - 106*T1^11*T2^9 + 38*T1^12*T2^9 - 24*T1^4*T2^10 + 
     140*T1^5*T2^10 + 64*T1^6*T2^10 - 657*T1^7*T2^10 + 1322*T1^8*T2^10 - 
     657*T1^9*T2^10 + 64*T1^10*T2^10 + 140*T1^11*T2^10 - 24*T1^12*T2^10 + 
     8*T1^5*T2^11 - 76*T1^6*T2^11 + 140*T1^7*T2^11 - 106*T1^8*T2^11 - 
     106*T1^9*T2^11 + 140*T1^10*T2^11 - 76*T1^11*T2^11 + 8*T1^12*T2^11 + 
     8*T1^7*T2^12 - 24*T1^8*T2^12 + 38*T1^9*T2^12 - 24*T1^10*T2^12 + 
     8*T1^11*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 1123] -> 
  {((1 - T + T^2)^2*(1 - 7*T + 13*T^2 - 7*T^3 + T^4))/T^4, 0}, 
 Knot[12, Alternating, 1124] -> 
  {-(((1 - 3*T + T^2)*(1 - 10*T + 19*T^2 - 10*T^3 + T^4))/T^3), 0}, 
 Knot[12, Alternating, 1125] -> 
  {-((4 - 14*T + 21*T^2 - 23*T^3 + 21*T^4 - 14*T^5 + 4*T^6)/T^3), 
   -((128 - 436*T1 + 644*T1^2 - 704*T1^3 + 644*T1^4 - 436*T1^5 + 128*T1^6 - 
      436*T2 + 1054*T1*T2 - 720*T1^2*T2 + 208*T1^3*T2 + 208*T1^4*T2 - 
      720*T1^5*T2 + 1054*T1^6*T2 - 436*T1^7*T2 + 644*T2^2 - 720*T1*T2^2 - 
      1225*T1^2*T2^2 + 1993*T1^3*T2^2 - 2025*T1^4*T2^2 + 1993*T1^5*T2^2 - 
      1225*T1^6*T2^2 - 720*T1^7*T2^2 + 644*T1^8*T2^2 - 704*T2^3 + 
      208*T1*T2^3 + 1993*T1^2*T2^3 - 1052*T1^3*T2^3 + 176*T1^4*T2^3 + 
      176*T1^5*T2^3 - 1052*T1^6*T2^3 + 1993*T1^7*T2^3 + 208*T1^8*T2^3 - 
      704*T1^9*T2^3 + 644*T2^4 + 208*T1*T2^4 - 2025*T1^2*T2^4 + 
      176*T1^3*T2^4 - 44*T1^4*T2^4 + 270*T1^5*T2^4 - 44*T1^6*T2^4 + 
      176*T1^7*T2^4 - 2025*T1^8*T2^4 + 208*T1^9*T2^4 + 644*T1^10*T2^4 - 
      436*T2^5 - 720*T1*T2^5 + 1993*T1^2*T2^5 + 176*T1^3*T2^5 + 
      270*T1^4*T2^5 - 192*T1^5*T2^5 - 192*T1^6*T2^5 + 270*T1^7*T2^5 + 
      176*T1^8*T2^5 + 1993*T1^9*T2^5 - 720*T1^10*T2^5 - 436*T1^11*T2^5 + 
      128*T2^6 + 1054*T1*T2^6 - 1225*T1^2*T2^6 - 1052*T1^3*T2^6 - 
      44*T1^4*T2^6 - 192*T1^5*T2^6 + 360*T1^6*T2^6 - 192*T1^7*T2^6 - 
      44*T1^8*T2^6 - 1052*T1^9*T2^6 - 1225*T1^10*T2^6 + 1054*T1^11*T2^6 + 
      128*T1^12*T2^6 - 436*T1*T2^7 - 720*T1^2*T2^7 + 1993*T1^3*T2^7 + 
      176*T1^4*T2^7 + 270*T1^5*T2^7 - 192*T1^6*T2^7 - 192*T1^7*T2^7 + 
      270*T1^8*T2^7 + 176*T1^9*T2^7 + 1993*T1^10*T2^7 - 720*T1^11*T2^7 - 
      436*T1^12*T2^7 + 644*T1^2*T2^8 + 208*T1^3*T2^8 - 2025*T1^4*T2^8 + 
      176*T1^5*T2^8 - 44*T1^6*T2^8 + 270*T1^7*T2^8 - 44*T1^8*T2^8 + 
      176*T1^9*T2^8 - 2025*T1^10*T2^8 + 208*T1^11*T2^8 + 644*T1^12*T2^8 - 
      704*T1^3*T2^9 + 208*T1^4*T2^9 + 1993*T1^5*T2^9 - 1052*T1^6*T2^9 + 
      176*T1^7*T2^9 + 176*T1^8*T2^9 - 1052*T1^9*T2^9 + 1993*T1^10*T2^9 + 
      208*T1^11*T2^9 - 704*T1^12*T2^9 + 644*T1^4*T2^10 - 720*T1^5*T2^10 - 
      1225*T1^6*T2^10 + 1993*T1^7*T2^10 - 2025*T1^8*T2^10 + 1993*T1^9*T2^10 - 
      1225*T1^10*T2^10 - 720*T1^11*T2^10 + 644*T1^12*T2^10 - 436*T1^5*T2^11 + 
      1054*T1^6*T2^11 - 720*T1^7*T2^11 + 208*T1^8*T2^11 + 208*T1^9*T2^11 - 
      720*T1^10*T2^11 + 1054*T1^11*T2^11 - 436*T1^12*T2^11 + 128*T1^6*T2^12 - 
      436*T1^7*T2^12 + 644*T1^8*T2^12 - 704*T1^9*T2^12 + 644*T1^10*T2^12 - 
      436*T1^11*T2^12 + 128*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 1126] -> 
  {-(((2 - 3*T + 2*T^2)*(4 - 9*T + 4*T^2))/T^2), 
   -((576 - 2064*T1 + 2896*T1^2 - 2064*T1^3 + 576*T1^4 - 2064*T2 + 
      5340*T1*T2 - 3000*T1^2*T2 - 3000*T1^3*T2 + 5340*T1^4*T2 - 
      2064*T1^5*T2 + 2896*T2^2 - 3000*T1*T2^2 - 9051*T1^2*T2^2 + 
      16635*T1^3*T2^2 - 9051*T1^4*T2^2 - 3000*T1^5*T2^2 + 2896*T1^6*T2^2 - 
      2064*T2^3 - 3000*T1*T2^3 + 16635*T1^2*T2^3 - 10062*T1^3*T2^3 - 
      10062*T1^4*T2^3 + 16635*T1^5*T2^3 - 3000*T1^6*T2^3 - 2064*T1^7*T2^3 + 
      576*T2^4 + 5340*T1*T2^4 - 9051*T1^2*T2^4 - 10062*T1^3*T2^4 + 
      22764*T1^4*T2^4 - 10062*T1^5*T2^4 - 9051*T1^6*T2^4 + 5340*T1^7*T2^4 + 
      576*T1^8*T2^4 - 2064*T1*T2^5 - 3000*T1^2*T2^5 + 16635*T1^3*T2^5 - 
      10062*T1^4*T2^5 - 10062*T1^5*T2^5 + 16635*T1^6*T2^5 - 3000*T1^7*T2^5 - 
      2064*T1^8*T2^5 + 2896*T1^2*T2^6 - 3000*T1^3*T2^6 - 9051*T1^4*T2^6 + 
      16635*T1^5*T2^6 - 9051*T1^6*T2^6 - 3000*T1^7*T2^6 + 2896*T1^8*T2^6 - 
      2064*T1^3*T2^7 + 5340*T1^4*T2^7 - 3000*T1^5*T2^7 - 3000*T1^6*T2^7 + 
      5340*T1^7*T2^7 - 2064*T1^8*T2^7 + 576*T1^4*T2^8 - 2064*T1^5*T2^8 + 
      2896*T1^6*T2^8 - 2064*T1^7*T2^8 + 576*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, Alternating, 1127] -> {(4 - 24*T + 41*T^2 - 24*T^3 + 4*T^4)/T^2, 
   0}, 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, -((1 - 3*T1 + 5*T1^2 - 7*T1^3 + 9*T1^4 - 9*T1^5 + 9*T1^6 - 
      7*T1^7 + 5*T1^8 - 3*T1^9 + T1^10 - 3*T2 + 6*T1*T2 - 6*T1^2*T2 + 
      6*T1^3*T2 - 6*T1^4*T2 - 6*T1^7*T2 + 6*T1^8*T2 - 6*T1^9*T2 + 
      6*T1^10*T2 - 3*T1^11*T2 + 5*T2^2 - 6*T1*T2^2 + 3*T1^2*T2^2 - 
      5*T1^3*T2^2 + 7*T1^4*T2^2 + 3*T1^5*T2^2 + 5*T1^6*T2^2 + 3*T1^7*T2^2 + 
      7*T1^8*T2^2 - 5*T1^9*T2^2 + 3*T1^10*T2^2 - 6*T1^11*T2^2 + 
      5*T1^12*T2^2 - 7*T2^3 + 6*T1*T2^3 - 5*T1^2*T2^3 + 12*T1^3*T2^3 - 
      12*T1^4*T2^3 - 8*T1^5*T2^3 - 8*T1^6*T2^3 - 8*T1^7*T2^3 - 8*T1^8*T2^3 - 
      12*T1^9*T2^3 + 12*T1^10*T2^3 - 5*T1^11*T2^3 + 6*T1^12*T2^3 - 
      7*T1^13*T2^3 + 9*T2^4 - 6*T1*T2^4 + 7*T1^2*T2^4 - 12*T1^3*T2^4 + 
      5*T1^4*T2^4 + 23*T1^5*T2^4 + 9*T1^6*T2^4 + 15*T1^7*T2^4 + 9*T1^8*T2^4 + 
      23*T1^9*T2^4 + 5*T1^10*T2^4 - 12*T1^11*T2^4 + 7*T1^12*T2^4 - 
      6*T1^13*T2^4 + 9*T1^14*T2^4 - 9*T2^5 + 3*T1^2*T2^5 - 8*T1^3*T2^5 + 
      23*T1^4*T2^5 - 48*T1^5*T2^5 - 8*T1^6*T2^5 - 20*T1^7*T2^5 - 
      20*T1^8*T2^5 - 8*T1^9*T2^5 - 48*T1^10*T2^5 + 23*T1^11*T2^5 - 
      8*T1^12*T2^5 + 3*T1^13*T2^5 - 9*T1^15*T2^5 + 9*T2^6 + 5*T1^2*T2^6 - 
      8*T1^3*T2^6 + 9*T1^4*T2^6 - 8*T1^5*T2^6 + 79*T1^6*T2^6 - 39*T1^7*T2^6 + 
      79*T1^8*T2^6 - 39*T1^9*T2^6 + 79*T1^10*T2^6 - 8*T1^11*T2^6 + 
      9*T1^12*T2^6 - 8*T1^13*T2^6 + 5*T1^14*T2^6 + 9*T1^16*T2^6 - 7*T2^7 - 
      6*T1*T2^7 + 3*T1^2*T2^7 - 8*T1^3*T2^7 + 15*T1^4*T2^7 - 20*T1^5*T2^7 - 
      39*T1^6*T2^7 - 16*T1^7*T2^7 - 20*T1^8*T2^7 - 20*T1^9*T2^7 - 
      16*T1^10*T2^7 - 39*T1^11*T2^7 - 20*T1^12*T2^7 + 15*T1^13*T2^7 - 
      8*T1^14*T2^7 + 3*T1^15*T2^7 - 6*T1^16*T2^7 - 7*T1^17*T2^7 + 5*T2^8 + 
      6*T1*T2^8 + 7*T1^2*T2^8 - 8*T1^3*T2^8 + 9*T1^4*T2^8 - 20*T1^5*T2^8 + 
      79*T1^6*T2^8 - 20*T1^7*T2^8 + 63*T1^8*T2^8 - 35*T1^9*T2^8 + 
      63*T1^10*T2^8 - 20*T1^11*T2^8 + 79*T1^12*T2^8 - 20*T1^13*T2^8 + 
      9*T1^14*T2^8 - 8*T1^15*T2^8 + 7*T1^16*T2^8 + 6*T1^17*T2^8 + 
      5*T1^18*T2^8 - 3*T2^9 - 6*T1*T2^9 - 5*T1^2*T2^9 - 12*T1^3*T2^9 + 
      23*T1^4*T2^9 - 8*T1^5*T2^9 - 39*T1^6*T2^9 - 20*T1^7*T2^9 - 
      35*T1^8*T2^9 - 35*T1^11*T2^9 - 20*T1^12*T2^9 - 39*T1^13*T2^9 - 
      8*T1^14*T2^9 + 23*T1^15*T2^9 - 12*T1^16*T2^9 - 5*T1^17*T2^9 - 
      6*T1^18*T2^9 - 3*T1^19*T2^9 + T2^10 + 6*T1*T2^10 + 3*T1^2*T2^10 + 
      12*T1^3*T2^10 + 5*T1^4*T2^10 - 48*T1^5*T2^10 + 79*T1^6*T2^10 - 
      16*T1^7*T2^10 + 63*T1^8*T2^10 + 63*T1^12*T2^10 - 16*T1^13*T2^10 + 
      79*T1^14*T2^10 - 48*T1^15*T2^10 + 5*T1^16*T2^10 + 12*T1^17*T2^10 + 
      3*T1^18*T2^10 + 6*T1^19*T2^10 + T1^20*T2^10 - 3*T1*T2^11 - 
      6*T1^2*T2^11 - 5*T1^3*T2^11 - 12*T1^4*T2^11 + 23*T1^5*T2^11 - 
      8*T1^6*T2^11 - 39*T1^7*T2^11 - 20*T1^8*T2^11 - 35*T1^9*T2^11 - 
      35*T1^12*T2^11 - 20*T1^13*T2^11 - 39*T1^14*T2^11 - 8*T1^15*T2^11 + 
      23*T1^16*T2^11 - 12*T1^17*T2^11 - 5*T1^18*T2^11 - 6*T1^19*T2^11 - 
      3*T1^20*T2^11 + 5*T1^2*T2^12 + 6*T1^3*T2^12 + 7*T1^4*T2^12 - 
      8*T1^5*T2^12 + 9*T1^6*T2^12 - 20*T1^7*T2^12 + 79*T1^8*T2^12 - 
      20*T1^9*T2^12 + 63*T1^10*T2^12 - 35*T1^11*T2^12 + 63*T1^12*T2^12 - 
      20*T1^13*T2^12 + 79*T1^14*T2^12 - 20*T1^15*T2^12 + 9*T1^16*T2^12 - 
      8*T1^17*T2^12 + 7*T1^18*T2^12 + 6*T1^19*T2^12 + 5*T1^20*T2^12 - 
      7*T1^3*T2^13 - 6*T1^4*T2^13 + 3*T1^5*T2^13 - 8*T1^6*T2^13 + 
      15*T1^7*T2^13 - 20*T1^8*T2^13 - 39*T1^9*T2^13 - 16*T1^10*T2^13 - 
      20*T1^11*T2^13 - 20*T1^12*T2^13 - 16*T1^13*T2^13 - 39*T1^14*T2^13 - 
      20*T1^15*T2^13 + 15*T1^16*T2^13 - 8*T1^17*T2^13 + 3*T1^18*T2^13 - 
      6*T1^19*T2^13 - 7*T1^20*T2^13 + 9*T1^4*T2^14 + 5*T1^6*T2^14 - 
      8*T1^7*T2^14 + 9*T1^8*T2^14 - 8*T1^9*T2^14 + 79*T1^10*T2^14 - 
      39*T1^11*T2^14 + 79*T1^12*T2^14 - 39*T1^13*T2^14 + 79*T1^14*T2^14 - 
      8*T1^15*T2^14 + 9*T1^16*T2^14 - 8*T1^17*T2^14 + 5*T1^18*T2^14 + 
      9*T1^20*T2^14 - 9*T1^5*T2^15 + 3*T1^7*T2^15 - 8*T1^8*T2^15 + 
      23*T1^9*T2^15 - 48*T1^10*T2^15 - 8*T1^11*T2^15 - 20*T1^12*T2^15 - 
      20*T1^13*T2^15 - 8*T1^14*T2^15 - 48*T1^15*T2^15 + 23*T1^16*T2^15 - 
      8*T1^17*T2^15 + 3*T1^18*T2^15 - 9*T1^20*T2^15 + 9*T1^6*T2^16 - 
      6*T1^7*T2^16 + 7*T1^8*T2^16 - 12*T1^9*T2^16 + 5*T1^10*T2^16 + 
      23*T1^11*T2^16 + 9*T1^12*T2^16 + 15*T1^13*T2^16 + 9*T1^14*T2^16 + 
      23*T1^15*T2^16 + 5*T1^16*T2^16 - 12*T1^17*T2^16 + 7*T1^18*T2^16 - 
      6*T1^19*T2^16 + 9*T1^20*T2^16 - 7*T1^7*T2^17 + 6*T1^8*T2^17 - 
      5*T1^9*T2^17 + 12*T1^10*T2^17 - 12*T1^11*T2^17 - 8*T1^12*T2^17 - 
      8*T1^13*T2^17 - 8*T1^14*T2^17 - 8*T1^15*T2^17 - 12*T1^16*T2^17 + 
      12*T1^17*T2^17 - 5*T1^18*T2^17 + 6*T1^19*T2^17 - 7*T1^20*T2^17 + 
      5*T1^8*T2^18 - 6*T1^9*T2^18 + 3*T1^10*T2^18 - 5*T1^11*T2^18 + 
      7*T1^12*T2^18 + 3*T1^13*T2^18 + 5*T1^14*T2^18 + 3*T1^15*T2^18 + 
      7*T1^16*T2^18 - 5*T1^17*T2^18 + 3*T1^18*T2^18 - 6*T1^19*T2^18 + 
      5*T1^20*T2^18 - 3*T1^9*T2^19 + 6*T1^10*T2^19 - 6*T1^11*T2^19 + 
      6*T1^12*T2^19 - 6*T1^13*T2^19 - 6*T1^16*T2^19 + 6*T1^17*T2^19 - 
      6*T1^18*T2^19 + 6*T1^19*T2^19 - 3*T1^20*T2^19 + T1^10*T2^20 - 
      3*T1^11*T2^20 + 5*T1^12*T2^20 - 7*T1^13*T2^20 + 9*T1^14*T2^20 - 
      9*T1^15*T2^20 + 9*T1^16*T2^20 - 7*T1^17*T2^20 + 5*T1^18*T2^20 - 
      3*T1^19*T2^20 + T1^20*T2^20)/(T1^10*T2^10))}, 
 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, -((1 - 3*T1 + 5*T1^2 - 7*T1^3 + 9*T1^4 - 7*T1^5 + 5*T1^6 - 3*T1^7 + 
      T1^8 - 3*T2 + 6*T1*T2 - 6*T1^2*T2 + 6*T1^3*T2 - 6*T1^4*T2 - 6*T1^5*T2 + 
      6*T1^6*T2 - 6*T1^7*T2 + 6*T1^8*T2 - 3*T1^9*T2 + 5*T2^2 - 6*T1*T2^2 + 
      3*T1^2*T2^2 - 5*T1^3*T2^2 + 15*T1^4*T2^2 - 5*T1^5*T2^2 + 15*T1^6*T2^2 - 
      5*T1^7*T2^2 + 3*T1^8*T2^2 - 6*T1^9*T2^2 + 5*T1^10*T2^2 - 7*T2^3 + 
      6*T1*T2^3 - 5*T1^2*T2^3 + 12*T1^3*T2^3 - 40*T1^4*T2^3 + 12*T1^5*T2^3 + 
      12*T1^6*T2^3 - 40*T1^7*T2^3 + 12*T1^8*T2^3 - 5*T1^9*T2^3 + 
      6*T1^10*T2^3 - 7*T1^11*T2^3 + 9*T2^4 - 6*T1*T2^4 + 15*T1^2*T2^4 - 
      40*T1^3*T2^4 + 115*T1^4*T2^4 - 57*T1^5*T2^4 + 25*T1^6*T2^4 - 
      57*T1^7*T2^4 + 115*T1^8*T2^4 - 40*T1^9*T2^4 + 15*T1^10*T2^4 - 
      6*T1^11*T2^4 + 9*T1^12*T2^4 - 7*T2^5 - 6*T1*T2^5 - 5*T1^2*T2^5 + 
      12*T1^3*T2^5 - 57*T1^4*T2^5 - 96*T1^5*T2^5 + 60*T1^6*T2^5 + 
      60*T1^7*T2^5 - 96*T1^8*T2^5 - 57*T1^9*T2^5 + 12*T1^10*T2^5 - 
      5*T1^11*T2^5 - 6*T1^12*T2^5 - 7*T1^13*T2^5 + 5*T2^6 + 6*T1*T2^6 + 
      15*T1^2*T2^6 + 12*T1^3*T2^6 + 25*T1^4*T2^6 + 60*T1^5*T2^6 + 
      161*T1^6*T2^6 - 235*T1^7*T2^6 + 161*T1^8*T2^6 + 60*T1^9*T2^6 + 
      25*T1^10*T2^6 + 12*T1^11*T2^6 + 15*T1^12*T2^6 + 6*T1^13*T2^6 + 
      5*T1^14*T2^6 - 3*T2^7 - 6*T1*T2^7 - 5*T1^2*T2^7 - 40*T1^3*T2^7 - 
      57*T1^4*T2^7 + 60*T1^5*T2^7 - 235*T1^6*T2^7 + 60*T1^7*T2^7 + 
      60*T1^8*T2^7 - 235*T1^9*T2^7 + 60*T1^10*T2^7 - 57*T1^11*T2^7 - 
      40*T1^12*T2^7 - 5*T1^13*T2^7 - 6*T1^14*T2^7 - 3*T1^15*T2^7 + T2^8 + 
      6*T1*T2^8 + 3*T1^2*T2^8 + 12*T1^3*T2^8 + 115*T1^4*T2^8 - 96*T1^5*T2^8 + 
      161*T1^6*T2^8 + 60*T1^7*T2^8 - 24*T1^8*T2^8 + 60*T1^9*T2^8 + 
      161*T1^10*T2^8 - 96*T1^11*T2^8 + 115*T1^12*T2^8 + 12*T1^13*T2^8 + 
      3*T1^14*T2^8 + 6*T1^15*T2^8 + T1^16*T2^8 - 3*T1*T2^9 - 6*T1^2*T2^9 - 
      5*T1^3*T2^9 - 40*T1^4*T2^9 - 57*T1^5*T2^9 + 60*T1^6*T2^9 - 
      235*T1^7*T2^9 + 60*T1^8*T2^9 + 60*T1^9*T2^9 - 235*T1^10*T2^9 + 
      60*T1^11*T2^9 - 57*T1^12*T2^9 - 40*T1^13*T2^9 - 5*T1^14*T2^9 - 
      6*T1^15*T2^9 - 3*T1^16*T2^9 + 5*T1^2*T2^10 + 6*T1^3*T2^10 + 
      15*T1^4*T2^10 + 12*T1^5*T2^10 + 25*T1^6*T2^10 + 60*T1^7*T2^10 + 
      161*T1^8*T2^10 - 235*T1^9*T2^10 + 161*T1^10*T2^10 + 60*T1^11*T2^10 + 
      25*T1^12*T2^10 + 12*T1^13*T2^10 + 15*T1^14*T2^10 + 6*T1^15*T2^10 + 
      5*T1^16*T2^10 - 7*T1^3*T2^11 - 6*T1^4*T2^11 - 5*T1^5*T2^11 + 
      12*T1^6*T2^11 - 57*T1^7*T2^11 - 96*T1^8*T2^11 + 60*T1^9*T2^11 + 
      60*T1^10*T2^11 - 96*T1^11*T2^11 - 57*T1^12*T2^11 + 12*T1^13*T2^11 - 
      5*T1^14*T2^11 - 6*T1^15*T2^11 - 7*T1^16*T2^11 + 9*T1^4*T2^12 - 
      6*T1^5*T2^12 + 15*T1^6*T2^12 - 40*T1^7*T2^12 + 115*T1^8*T2^12 - 
      57*T1^9*T2^12 + 25*T1^10*T2^12 - 57*T1^11*T2^12 + 115*T1^12*T2^12 - 
      40*T1^13*T2^12 + 15*T1^14*T2^12 - 6*T1^15*T2^12 + 9*T1^16*T2^12 - 
      7*T1^5*T2^13 + 6*T1^6*T2^13 - 5*T1^7*T2^13 + 12*T1^8*T2^13 - 
      40*T1^9*T2^13 + 12*T1^10*T2^13 + 12*T1^11*T2^13 - 40*T1^12*T2^13 + 
      12*T1^13*T2^13 - 5*T1^14*T2^13 + 6*T1^15*T2^13 - 7*T1^16*T2^13 + 
      5*T1^6*T2^14 - 6*T1^7*T2^14 + 3*T1^8*T2^14 - 5*T1^9*T2^14 + 
      15*T1^10*T2^14 - 5*T1^11*T2^14 + 15*T1^12*T2^14 - 5*T1^13*T2^14 + 
      3*T1^14*T2^14 - 6*T1^15*T2^14 + 5*T1^16*T2^14 - 3*T1^7*T2^15 + 
      6*T1^8*T2^15 - 6*T1^9*T2^15 + 6*T1^10*T2^15 - 6*T1^11*T2^15 - 
      6*T1^12*T2^15 + 6*T1^13*T2^15 - 6*T1^14*T2^15 + 6*T1^15*T2^15 - 
      3*T1^16*T2^15 + T1^8*T2^16 - 3*T1^9*T2^16 + 5*T1^10*T2^16 - 
      7*T1^11*T2^16 + 9*T1^12*T2^16 - 7*T1^13*T2^16 + 5*T1^14*T2^16 - 
      3*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, -((1 - 3*T1 + 5*T1^2 - 7*T1^3 + 9*T1^4 - 7*T1^5 + 5*T1^6 - 3*T1^7 + 
      T1^8 - 3*T2 + 6*T1*T2 - 6*T1^2*T2 + 6*T1^3*T2 - 6*T1^4*T2 - 6*T1^5*T2 + 
      6*T1^6*T2 - 6*T1^7*T2 + 6*T1^8*T2 - 3*T1^9*T2 + 5*T2^2 - 6*T1*T2^2 + 
      2*T1^2*T2^2 - 6*T1^3*T2^2 + 22*T1^4*T2^2 - 14*T1^5*T2^2 + 
      22*T1^6*T2^2 - 6*T1^7*T2^2 + 2*T1^8*T2^2 - 6*T1^9*T2^2 + 5*T1^10*T2^2 - 
      7*T2^3 + 6*T1*T2^3 - 6*T1^2*T2^3 + 32*T1^3*T2^3 - 78*T1^4*T2^3 + 
      26*T1^5*T2^3 + 26*T1^6*T2^3 - 78*T1^7*T2^3 + 32*T1^8*T2^3 - 
      6*T1^9*T2^3 + 6*T1^10*T2^3 - 7*T1^11*T2^3 + 9*T2^4 - 6*T1*T2^4 + 
      22*T1^2*T2^4 - 78*T1^3*T2^4 + 130*T1^4*T2^4 + 36*T1^5*T2^4 - 
      84*T1^6*T2^4 + 36*T1^7*T2^4 + 130*T1^8*T2^4 - 78*T1^9*T2^4 + 
      22*T1^10*T2^4 - 6*T1^11*T2^4 + 9*T1^12*T2^4 - 7*T2^5 - 6*T1*T2^5 - 
      14*T1^2*T2^5 + 26*T1^3*T2^5 + 36*T1^4*T2^5 - 314*T1^5*T2^5 + 
      114*T1^6*T2^5 + 114*T1^7*T2^5 - 314*T1^8*T2^5 + 36*T1^9*T2^5 + 
      26*T1^10*T2^5 - 14*T1^11*T2^5 - 6*T1^12*T2^5 - 7*T1^13*T2^5 + 5*T2^6 + 
      6*T1*T2^6 + 22*T1^2*T2^6 + 26*T1^3*T2^6 - 84*T1^4*T2^6 + 
      114*T1^5*T2^6 + 503*T1^6*T2^6 - 579*T1^7*T2^6 + 503*T1^8*T2^6 + 
      114*T1^9*T2^6 - 84*T1^10*T2^6 + 26*T1^11*T2^6 + 22*T1^12*T2^6 + 
      6*T1^13*T2^6 + 5*T1^14*T2^6 - 3*T2^7 - 6*T1*T2^7 - 6*T1^2*T2^7 - 
      78*T1^3*T2^7 + 36*T1^4*T2^7 + 114*T1^5*T2^7 - 579*T1^6*T2^7 + 
      92*T1^7*T2^7 + 92*T1^8*T2^7 - 579*T1^9*T2^7 + 114*T1^10*T2^7 + 
      36*T1^11*T2^7 - 78*T1^12*T2^7 - 6*T1^13*T2^7 - 6*T1^14*T2^7 - 
      3*T1^15*T2^7 + T2^8 + 6*T1*T2^8 + 2*T1^2*T2^8 + 32*T1^3*T2^8 + 
      130*T1^4*T2^8 - 314*T1^5*T2^8 + 503*T1^6*T2^8 + 92*T1^7*T2^8 + 
      60*T1^8*T2^8 + 92*T1^9*T2^8 + 503*T1^10*T2^8 - 314*T1^11*T2^8 + 
      130*T1^12*T2^8 + 32*T1^13*T2^8 + 2*T1^14*T2^8 + 6*T1^15*T2^8 + 
      T1^16*T2^8 - 3*T1*T2^9 - 6*T1^2*T2^9 - 6*T1^3*T2^9 - 78*T1^4*T2^9 + 
      36*T1^5*T2^9 + 114*T1^6*T2^9 - 579*T1^7*T2^9 + 92*T1^8*T2^9 + 
      92*T1^9*T2^9 - 579*T1^10*T2^9 + 114*T1^11*T2^9 + 36*T1^12*T2^9 - 
      78*T1^13*T2^9 - 6*T1^14*T2^9 - 6*T1^15*T2^9 - 3*T1^16*T2^9 + 
      5*T1^2*T2^10 + 6*T1^3*T2^10 + 22*T1^4*T2^10 + 26*T1^5*T2^10 - 
      84*T1^6*T2^10 + 114*T1^7*T2^10 + 503*T1^8*T2^10 - 579*T1^9*T2^10 + 
      503*T1^10*T2^10 + 114*T1^11*T2^10 - 84*T1^12*T2^10 + 26*T1^13*T2^10 + 
      22*T1^14*T2^10 + 6*T1^15*T2^10 + 5*T1^16*T2^10 - 7*T1^3*T2^11 - 
      6*T1^4*T2^11 - 14*T1^5*T2^11 + 26*T1^6*T2^11 + 36*T1^7*T2^11 - 
      314*T1^8*T2^11 + 114*T1^9*T2^11 + 114*T1^10*T2^11 - 314*T1^11*T2^11 + 
      36*T1^12*T2^11 + 26*T1^13*T2^11 - 14*T1^14*T2^11 - 6*T1^15*T2^11 - 
      7*T1^16*T2^11 + 9*T1^4*T2^12 - 6*T1^5*T2^12 + 22*T1^6*T2^12 - 
      78*T1^7*T2^12 + 130*T1^8*T2^12 + 36*T1^9*T2^12 - 84*T1^10*T2^12 + 
      36*T1^11*T2^12 + 130*T1^12*T2^12 - 78*T1^13*T2^12 + 22*T1^14*T2^12 - 
      6*T1^15*T2^12 + 9*T1^16*T2^12 - 7*T1^5*T2^13 + 6*T1^6*T2^13 - 
      6*T1^7*T2^13 + 32*T1^8*T2^13 - 78*T1^9*T2^13 + 26*T1^10*T2^13 + 
      26*T1^11*T2^13 - 78*T1^12*T2^13 + 32*T1^13*T2^13 - 6*T1^14*T2^13 + 
      6*T1^15*T2^13 - 7*T1^16*T2^13 + 5*T1^6*T2^14 - 6*T1^7*T2^14 + 
      2*T1^8*T2^14 - 6*T1^9*T2^14 + 22*T1^10*T2^14 - 14*T1^11*T2^14 + 
      22*T1^12*T2^14 - 6*T1^13*T2^14 + 2*T1^14*T2^14 - 6*T1^15*T2^14 + 
      5*T1^16*T2^14 - 3*T1^7*T2^15 + 6*T1^8*T2^15 - 6*T1^9*T2^15 + 
      6*T1^10*T2^15 - 6*T1^11*T2^15 - 6*T1^12*T2^15 + 6*T1^13*T2^15 - 
      6*T1^14*T2^15 + 6*T1^15*T2^15 - 3*T1^16*T2^15 + T1^8*T2^16 - 
      3*T1^9*T2^16 + 5*T1^10*T2^16 - 7*T1^11*T2^16 + 9*T1^12*T2^16 - 
      7*T1^13*T2^16 + 5*T1^14*T2^16 - 3*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, 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, -((15 - 53*T1 + 83*T1^2 - 83*T1^3 + 83*T1^4 - 83*T1^5 + 83*T1^6 - 
      53*T1^7 + 15*T1^8 - 53*T2 + 134*T1*T2 - 106*T1^2*T2 - 106*T1^7*T2 + 
      134*T1^8*T2 - 53*T1^9*T2 + 83*T2^2 - 106*T1*T2^2 - 123*T1^2*T2^2 + 
      305*T1^3*T2^2 - 155*T1^4*T2^2 + 155*T1^5*T2^2 - 155*T1^6*T2^2 + 
      305*T1^7*T2^2 - 123*T1^8*T2^2 - 106*T1^9*T2^2 + 83*T1^10*T2^2 - 
      83*T2^3 + 305*T1^2*T2^3 - 274*T1^3*T2^3 - 110*T1^4*T2^3 - 
      110*T1^7*T2^3 - 274*T1^8*T2^3 + 305*T1^9*T2^3 - 83*T1^11*T2^3 + 
      83*T2^4 - 155*T1^2*T2^4 - 110*T1^3*T2^4 + 462*T1^4*T2^4 - 
      158*T1^5*T2^4 + 220*T1^6*T2^4 - 158*T1^7*T2^4 + 462*T1^8*T2^4 - 
      110*T1^9*T2^4 - 155*T1^10*T2^4 + 83*T1^12*T2^4 - 83*T2^5 + 
      155*T1^2*T2^5 - 158*T1^4*T2^5 - 164*T1^5*T2^5 - 22*T1^6*T2^5 - 
      22*T1^7*T2^5 - 164*T1^8*T2^5 - 158*T1^9*T2^5 + 155*T1^11*T2^5 - 
      83*T1^13*T2^5 + 83*T2^6 - 155*T1^2*T2^6 + 220*T1^4*T2^6 - 
      22*T1^5*T2^6 + 231*T1^6*T2^6 - 151*T1^7*T2^6 + 231*T1^8*T2^6 - 
      22*T1^9*T2^6 + 220*T1^10*T2^6 - 155*T1^12*T2^6 + 83*T1^14*T2^6 - 
      53*T2^7 - 106*T1*T2^7 + 305*T1^2*T2^7 - 110*T1^3*T2^7 - 158*T1^4*T2^7 - 
      22*T1^5*T2^7 - 151*T1^6*T2^7 + 24*T1^7*T2^7 + 24*T1^8*T2^7 - 
      151*T1^9*T2^7 - 22*T1^10*T2^7 - 158*T1^11*T2^7 - 110*T1^12*T2^7 + 
      305*T1^13*T2^7 - 106*T1^14*T2^7 - 53*T1^15*T2^7 + 15*T2^8 + 
      134*T1*T2^8 - 123*T1^2*T2^8 - 274*T1^3*T2^8 + 462*T1^4*T2^8 - 
      164*T1^5*T2^8 + 231*T1^6*T2^8 + 24*T1^7*T2^8 - 84*T1^8*T2^8 + 
      24*T1^9*T2^8 + 231*T1^10*T2^8 - 164*T1^11*T2^8 + 462*T1^12*T2^8 - 
      274*T1^13*T2^8 - 123*T1^14*T2^8 + 134*T1^15*T2^8 + 15*T1^16*T2^8 - 
      53*T1*T2^9 - 106*T1^2*T2^9 + 305*T1^3*T2^9 - 110*T1^4*T2^9 - 
      158*T1^5*T2^9 - 22*T1^6*T2^9 - 151*T1^7*T2^9 + 24*T1^8*T2^9 + 
      24*T1^9*T2^9 - 151*T1^10*T2^9 - 22*T1^11*T2^9 - 158*T1^12*T2^9 - 
      110*T1^13*T2^9 + 305*T1^14*T2^9 - 106*T1^15*T2^9 - 53*T1^16*T2^9 + 
      83*T1^2*T2^10 - 155*T1^4*T2^10 + 220*T1^6*T2^10 - 22*T1^7*T2^10 + 
      231*T1^8*T2^10 - 151*T1^9*T2^10 + 231*T1^10*T2^10 - 22*T1^11*T2^10 + 
      220*T1^12*T2^10 - 155*T1^14*T2^10 + 83*T1^16*T2^10 - 83*T1^3*T2^11 + 
      155*T1^5*T2^11 - 158*T1^7*T2^11 - 164*T1^8*T2^11 - 22*T1^9*T2^11 - 
      22*T1^10*T2^11 - 164*T1^11*T2^11 - 158*T1^12*T2^11 + 155*T1^14*T2^11 - 
      83*T1^16*T2^11 + 83*T1^4*T2^12 - 155*T1^6*T2^12 - 110*T1^7*T2^12 + 
      462*T1^8*T2^12 - 158*T1^9*T2^12 + 220*T1^10*T2^12 - 158*T1^11*T2^12 + 
      462*T1^12*T2^12 - 110*T1^13*T2^12 - 155*T1^14*T2^12 + 83*T1^16*T2^12 - 
      83*T1^5*T2^13 + 305*T1^7*T2^13 - 274*T1^8*T2^13 - 110*T1^9*T2^13 - 
      110*T1^12*T2^13 - 274*T1^13*T2^13 + 305*T1^14*T2^13 - 83*T1^16*T2^13 + 
      83*T1^6*T2^14 - 106*T1^7*T2^14 - 123*T1^8*T2^14 + 305*T1^9*T2^14 - 
      155*T1^10*T2^14 + 155*T1^11*T2^14 - 155*T1^12*T2^14 + 305*T1^13*T2^14 - 
      123*T1^14*T2^14 - 106*T1^15*T2^14 + 83*T1^16*T2^14 - 53*T1^7*T2^15 + 
      134*T1^8*T2^15 - 106*T1^9*T2^15 - 106*T1^14*T2^15 + 134*T1^15*T2^15 - 
      53*T1^16*T2^15 + 15*T1^8*T2^16 - 53*T1^9*T2^16 + 83*T1^10*T2^16 - 
      83*T1^11*T2^16 + 83*T1^12*T2^16 - 83*T1^13*T2^16 + 83*T1^14*T2^16 - 
      53*T1^15*T2^16 + 15*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 1132] -> 
  {(4 - 16*T + 29*T^2 - 33*T^3 + 29*T^4 - 16*T^5 + 4*T^6)/T^3, 
   -((64 - 256*T1 + 456*T1^2 - 512*T1^3 + 456*T1^4 - 256*T1^5 + 64*T1^6 - 
      256*T2 + 768*T1*T2 - 804*T1^2*T2 + 228*T1^3*T2 + 228*T1^4*T2 - 
      804*T1^5*T2 + 768*T1^6*T2 - 256*T1^7*T2 + 456*T2^2 - 804*T1*T2^2 - 
      420*T1^2*T2^2 + 2034*T1^3*T2^2 - 2068*T1^4*T2^2 + 2034*T1^5*T2^2 - 
      420*T1^6*T2^2 - 804*T1^7*T2^2 + 456*T1^8*T2^2 - 512*T2^3 + 
      228*T1*T2^3 + 2034*T1^2*T2^3 - 2850*T1^3*T2^3 + 598*T1^4*T2^3 + 
      598*T1^5*T2^3 - 2850*T1^6*T2^3 + 2034*T1^7*T2^3 + 228*T1^8*T2^3 - 
      512*T1^9*T2^3 + 456*T2^4 + 228*T1*T2^4 - 2068*T1^2*T2^4 + 
      598*T1^3*T2^4 + 3337*T1^4*T2^4 - 3605*T1^5*T2^4 + 3337*T1^6*T2^4 + 
      598*T1^7*T2^4 - 2068*T1^8*T2^4 + 228*T1^9*T2^4 + 456*T1^10*T2^4 - 
      256*T2^5 - 804*T1*T2^5 + 2034*T1^2*T2^5 + 598*T1^3*T2^5 - 
      3605*T1^4*T2^5 + 1158*T1^5*T2^5 + 1158*T1^6*T2^5 - 3605*T1^7*T2^5 + 
      598*T1^8*T2^5 + 2034*T1^9*T2^5 - 804*T1^10*T2^5 - 256*T1^11*T2^5 + 
      64*T2^6 + 768*T1*T2^6 - 420*T1^2*T2^6 - 2850*T1^3*T2^6 + 
      3337*T1^4*T2^6 + 1158*T1^5*T2^6 - 2304*T1^6*T2^6 + 1158*T1^7*T2^6 + 
      3337*T1^8*T2^6 - 2850*T1^9*T2^6 - 420*T1^10*T2^6 + 768*T1^11*T2^6 + 
      64*T1^12*T2^6 - 256*T1*T2^7 - 804*T1^2*T2^7 + 2034*T1^3*T2^7 + 
      598*T1^4*T2^7 - 3605*T1^5*T2^7 + 1158*T1^6*T2^7 + 1158*T1^7*T2^7 - 
      3605*T1^8*T2^7 + 598*T1^9*T2^7 + 2034*T1^10*T2^7 - 804*T1^11*T2^7 - 
      256*T1^12*T2^7 + 456*T1^2*T2^8 + 228*T1^3*T2^8 - 2068*T1^4*T2^8 + 
      598*T1^5*T2^8 + 3337*T1^6*T2^8 - 3605*T1^7*T2^8 + 3337*T1^8*T2^8 + 
      598*T1^9*T2^8 - 2068*T1^10*T2^8 + 228*T1^11*T2^8 + 456*T1^12*T2^8 - 
      512*T1^3*T2^9 + 228*T1^4*T2^9 + 2034*T1^5*T2^9 - 2850*T1^6*T2^9 + 
      598*T1^7*T2^9 + 598*T1^8*T2^9 - 2850*T1^9*T2^9 + 2034*T1^10*T2^9 + 
      228*T1^11*T2^9 - 512*T1^12*T2^9 + 456*T1^4*T2^10 - 804*T1^5*T2^10 - 
      420*T1^6*T2^10 + 2034*T1^7*T2^10 - 2068*T1^8*T2^10 + 2034*T1^9*T2^10 - 
      420*T1^10*T2^10 - 804*T1^11*T2^10 + 456*T1^12*T2^10 - 256*T1^5*T2^11 + 
      768*T1^6*T2^11 - 804*T1^7*T2^11 + 228*T1^8*T2^11 + 228*T1^9*T2^11 - 
      804*T1^10*T2^11 + 768*T1^11*T2^11 - 256*T1^12*T2^11 + 64*T1^6*T2^12 - 
      256*T1^7*T2^12 + 456*T1^8*T2^12 - 512*T1^9*T2^12 + 456*T1^10*T2^12 - 
      256*T1^11*T2^12 + 64*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 1133] -> 
  {(4 - 18*T + 36*T^2 - 43*T^3 + 36*T^4 - 18*T^5 + 4*T^6)/T^3, 
   -((64 - 284*T1 + 556*T1^2 - 656*T1^3 + 556*T1^4 - 284*T1^5 + 64*T1^6 - 
      284*T2 + 982*T1*T2 - 1224*T1^2*T2 + 456*T1^3*T2 + 456*T1^4*T2 - 
      1224*T1^5*T2 + 982*T1^6*T2 - 284*T1^7*T2 + 556*T2^2 - 1224*T1*T2^2 - 
      249*T1^2*T2^2 + 3099*T1^3*T2^2 - 3799*T1^4*T2^2 + 3099*T1^5*T2^2 - 
      249*T1^6*T2^2 - 1224*T1^7*T2^2 + 556*T1^8*T2^2 - 656*T2^3 + 
      456*T1*T2^3 + 3099*T1^2*T2^3 - 5422*T1^3*T2^3 + 1828*T1^4*T2^3 + 
      1828*T1^5*T2^3 - 5422*T1^6*T2^3 + 3099*T1^7*T2^3 + 456*T1^8*T2^3 - 
      656*T1^9*T2^3 + 556*T2^4 + 456*T1*T2^4 - 3799*T1^2*T2^4 + 
      1828*T1^3*T2^4 + 6024*T1^4*T2^4 - 7748*T1^5*T2^4 + 6024*T1^6*T2^4 + 
      1828*T1^7*T2^4 - 3799*T1^8*T2^4 + 456*T1^9*T2^4 + 556*T1^10*T2^4 - 
      284*T2^5 - 1224*T1*T2^5 + 3099*T1^2*T2^5 + 1828*T1^3*T2^5 - 
      7748*T1^4*T2^5 + 2762*T1^5*T2^5 + 2762*T1^6*T2^5 - 7748*T1^7*T2^5 + 
      1828*T1^8*T2^5 + 3099*T1^9*T2^5 - 1224*T1^10*T2^5 - 284*T1^11*T2^5 + 
      64*T2^6 + 982*T1*T2^6 - 249*T1^2*T2^6 - 5422*T1^3*T2^6 + 
      6024*T1^4*T2^6 + 2762*T1^5*T2^6 - 4920*T1^6*T2^6 + 2762*T1^7*T2^6 + 
      6024*T1^8*T2^6 - 5422*T1^9*T2^6 - 249*T1^10*T2^6 + 982*T1^11*T2^6 + 
      64*T1^12*T2^6 - 284*T1*T2^7 - 1224*T1^2*T2^7 + 3099*T1^3*T2^7 + 
      1828*T1^4*T2^7 - 7748*T1^5*T2^7 + 2762*T1^6*T2^7 + 2762*T1^7*T2^7 - 
      7748*T1^8*T2^7 + 1828*T1^9*T2^7 + 3099*T1^10*T2^7 - 1224*T1^11*T2^7 - 
      284*T1^12*T2^7 + 556*T1^2*T2^8 + 456*T1^3*T2^8 - 3799*T1^4*T2^8 + 
      1828*T1^5*T2^8 + 6024*T1^6*T2^8 - 7748*T1^7*T2^8 + 6024*T1^8*T2^8 + 
      1828*T1^9*T2^8 - 3799*T1^10*T2^8 + 456*T1^11*T2^8 + 556*T1^12*T2^8 - 
      656*T1^3*T2^9 + 456*T1^4*T2^9 + 3099*T1^5*T2^9 - 5422*T1^6*T2^9 + 
      1828*T1^7*T2^9 + 1828*T1^8*T2^9 - 5422*T1^9*T2^9 + 3099*T1^10*T2^9 + 
      456*T1^11*T2^9 - 656*T1^12*T2^9 + 556*T1^4*T2^10 - 1224*T1^5*T2^10 - 
      249*T1^6*T2^10 + 3099*T1^7*T2^10 - 3799*T1^8*T2^10 + 3099*T1^9*T2^10 - 
      249*T1^10*T2^10 - 1224*T1^11*T2^10 + 556*T1^12*T2^10 - 284*T1^5*T2^11 + 
      982*T1^6*T2^11 - 1224*T1^7*T2^11 + 456*T1^8*T2^11 + 456*T1^9*T2^11 - 
      1224*T1^10*T2^11 + 982*T1^11*T2^11 - 284*T1^12*T2^11 + 64*T1^6*T2^12 - 
      284*T1^7*T2^12 + 556*T1^8*T2^12 - 656*T1^9*T2^12 + 556*T1^10*T2^12 - 
      284*T1^11*T2^12 + 64*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), -((2 - 6*T1 + 10*T1^2 - 14*T1^3 + 14*T1^4 - 
      14*T1^5 + 14*T1^6 - 14*T1^7 + 10*T1^8 - 6*T1^9 + 2*T1^10 - 6*T2 + 
      12*T1*T2 - 12*T1^2*T2 + 12*T1^3*T2 + 12*T1^8*T2 - 12*T1^9*T2 + 
      12*T1^10*T2 - 6*T1^11*T2 + 10*T2^2 - 12*T1*T2^2 + 6*T1^2*T2^2 - 
      10*T1^3*T2^2 - 8*T1^4*T2^2 - 10*T1^5*T2^2 + 10*T1^6*T2^2 - 
      10*T1^7*T2^2 - 8*T1^8*T2^2 - 10*T1^9*T2^2 + 6*T1^10*T2^2 - 
      12*T1^11*T2^2 + 10*T1^12*T2^2 - 14*T2^3 + 12*T1*T2^3 - 10*T1^2*T2^3 + 
      24*T1^3*T2^3 + 10*T1^4*T2^3 + 22*T1^5*T2^3 + 22*T1^8*T2^3 + 
      10*T1^9*T2^3 + 24*T1^10*T2^3 - 10*T1^11*T2^3 + 12*T1^12*T2^3 - 
      14*T1^13*T2^3 + 14*T2^4 - 8*T1^2*T2^4 + 10*T1^3*T2^4 - 76*T1^4*T2^4 + 
      30*T1^5*T2^4 - 80*T1^6*T2^4 + 64*T1^7*T2^4 - 80*T1^8*T2^4 + 
      30*T1^9*T2^4 - 76*T1^10*T2^4 + 10*T1^11*T2^4 - 8*T1^12*T2^4 + 
      14*T1^14*T2^4 - 14*T2^5 - 10*T1^2*T2^5 + 22*T1^3*T2^5 + 30*T1^4*T2^5 + 
      44*T1^5*T2^5 + 32*T1^6*T2^5 + 8*T1^7*T2^5 + 8*T1^8*T2^5 + 
      32*T1^9*T2^5 + 44*T1^10*T2^5 + 30*T1^11*T2^5 + 22*T1^12*T2^5 - 
      10*T1^13*T2^5 - 14*T1^15*T2^5 + 14*T2^6 + 10*T1^2*T2^6 - 80*T1^4*T2^6 + 
      32*T1^5*T2^6 - 142*T1^6*T2^6 + 78*T1^7*T2^6 - 102*T1^8*T2^6 + 
      78*T1^9*T2^6 - 142*T1^10*T2^6 + 32*T1^11*T2^6 - 80*T1^12*T2^6 + 
      10*T1^14*T2^6 + 14*T1^16*T2^6 - 14*T2^7 - 10*T1^2*T2^7 + 64*T1^4*T2^7 + 
      8*T1^5*T2^7 + 78*T1^6*T2^7 + 16*T1^7*T2^7 + 12*T1^8*T2^7 + 
      12*T1^9*T2^7 + 16*T1^10*T2^7 + 78*T1^11*T2^7 + 8*T1^12*T2^7 + 
      64*T1^13*T2^7 - 10*T1^15*T2^7 - 14*T1^17*T2^7 + 10*T2^8 + 12*T1*T2^8 - 
      8*T1^2*T2^8 + 22*T1^3*T2^8 - 80*T1^4*T2^8 + 8*T1^5*T2^8 - 
      102*T1^6*T2^8 + 12*T1^7*T2^8 - 47*T1^8*T2^8 + 27*T1^9*T2^8 - 
      47*T1^10*T2^8 + 12*T1^11*T2^8 - 102*T1^12*T2^8 + 8*T1^13*T2^8 - 
      80*T1^14*T2^8 + 22*T1^15*T2^8 - 8*T1^16*T2^8 + 12*T1^17*T2^8 + 
      10*T1^18*T2^8 - 6*T2^9 - 12*T1*T2^9 - 10*T1^2*T2^9 + 10*T1^3*T2^9 + 
      30*T1^4*T2^9 + 32*T1^5*T2^9 + 78*T1^6*T2^9 + 12*T1^7*T2^9 + 
      27*T1^8*T2^9 + 27*T1^11*T2^9 + 12*T1^12*T2^9 + 78*T1^13*T2^9 + 
      32*T1^14*T2^9 + 30*T1^15*T2^9 + 10*T1^16*T2^9 - 10*T1^17*T2^9 - 
      12*T1^18*T2^9 - 6*T1^19*T2^9 + 2*T2^10 + 12*T1*T2^10 + 6*T1^2*T2^10 + 
      24*T1^3*T2^10 - 76*T1^4*T2^10 + 44*T1^5*T2^10 - 142*T1^6*T2^10 + 
      16*T1^7*T2^10 - 47*T1^8*T2^10 - 47*T1^12*T2^10 + 16*T1^13*T2^10 - 
      142*T1^14*T2^10 + 44*T1^15*T2^10 - 76*T1^16*T2^10 + 24*T1^17*T2^10 + 
      6*T1^18*T2^10 + 12*T1^19*T2^10 + 2*T1^20*T2^10 - 6*T1*T2^11 - 
      12*T1^2*T2^11 - 10*T1^3*T2^11 + 10*T1^4*T2^11 + 30*T1^5*T2^11 + 
      32*T1^6*T2^11 + 78*T1^7*T2^11 + 12*T1^8*T2^11 + 27*T1^9*T2^11 + 
      27*T1^12*T2^11 + 12*T1^13*T2^11 + 78*T1^14*T2^11 + 32*T1^15*T2^11 + 
      30*T1^16*T2^11 + 10*T1^17*T2^11 - 10*T1^18*T2^11 - 12*T1^19*T2^11 - 
      6*T1^20*T2^11 + 10*T1^2*T2^12 + 12*T1^3*T2^12 - 8*T1^4*T2^12 + 
      22*T1^5*T2^12 - 80*T1^6*T2^12 + 8*T1^7*T2^12 - 102*T1^8*T2^12 + 
      12*T1^9*T2^12 - 47*T1^10*T2^12 + 27*T1^11*T2^12 - 47*T1^12*T2^12 + 
      12*T1^13*T2^12 - 102*T1^14*T2^12 + 8*T1^15*T2^12 - 80*T1^16*T2^12 + 
      22*T1^17*T2^12 - 8*T1^18*T2^12 + 12*T1^19*T2^12 + 10*T1^20*T2^12 - 
      14*T1^3*T2^13 - 10*T1^5*T2^13 + 64*T1^7*T2^13 + 8*T1^8*T2^13 + 
      78*T1^9*T2^13 + 16*T1^10*T2^13 + 12*T1^11*T2^13 + 12*T1^12*T2^13 + 
      16*T1^13*T2^13 + 78*T1^14*T2^13 + 8*T1^15*T2^13 + 64*T1^16*T2^13 - 
      10*T1^18*T2^13 - 14*T1^20*T2^13 + 14*T1^4*T2^14 + 10*T1^6*T2^14 - 
      80*T1^8*T2^14 + 32*T1^9*T2^14 - 142*T1^10*T2^14 + 78*T1^11*T2^14 - 
      102*T1^12*T2^14 + 78*T1^13*T2^14 - 142*T1^14*T2^14 + 32*T1^15*T2^14 - 
      80*T1^16*T2^14 + 10*T1^18*T2^14 + 14*T1^20*T2^14 - 14*T1^5*T2^15 - 
      10*T1^7*T2^15 + 22*T1^8*T2^15 + 30*T1^9*T2^15 + 44*T1^10*T2^15 + 
      32*T1^11*T2^15 + 8*T1^12*T2^15 + 8*T1^13*T2^15 + 32*T1^14*T2^15 + 
      44*T1^15*T2^15 + 30*T1^16*T2^15 + 22*T1^17*T2^15 - 10*T1^18*T2^15 - 
      14*T1^20*T2^15 + 14*T1^6*T2^16 - 8*T1^8*T2^16 + 10*T1^9*T2^16 - 
      76*T1^10*T2^16 + 30*T1^11*T2^16 - 80*T1^12*T2^16 + 64*T1^13*T2^16 - 
      80*T1^14*T2^16 + 30*T1^15*T2^16 - 76*T1^16*T2^16 + 10*T1^17*T2^16 - 
      8*T1^18*T2^16 + 14*T1^20*T2^16 - 14*T1^7*T2^17 + 12*T1^8*T2^17 - 
      10*T1^9*T2^17 + 24*T1^10*T2^17 + 10*T1^11*T2^17 + 22*T1^12*T2^17 + 
      22*T1^15*T2^17 + 10*T1^16*T2^17 + 24*T1^17*T2^17 - 10*T1^18*T2^17 + 
      12*T1^19*T2^17 - 14*T1^20*T2^17 + 10*T1^8*T2^18 - 12*T1^9*T2^18 + 
      6*T1^10*T2^18 - 10*T1^11*T2^18 - 8*T1^12*T2^18 - 10*T1^13*T2^18 + 
      10*T1^14*T2^18 - 10*T1^15*T2^18 - 8*T1^16*T2^18 - 10*T1^17*T2^18 + 
      6*T1^18*T2^18 - 12*T1^19*T2^18 + 10*T1^20*T2^18 - 6*T1^9*T2^19 + 
      12*T1^10*T2^19 - 12*T1^11*T2^19 + 12*T1^12*T2^19 + 12*T1^17*T2^19 - 
      12*T1^18*T2^19 + 12*T1^19*T2^19 - 6*T1^20*T2^19 + 2*T1^10*T2^20 - 
      6*T1^11*T2^20 + 10*T1^12*T2^20 - 14*T1^13*T2^20 + 14*T1^14*T2^20 - 
      14*T1^15*T2^20 + 14*T1^16*T2^20 - 14*T1^17*T2^20 + 10*T1^18*T2^20 - 
      6*T1^19*T2^20 + 2*T1^20*T2^20)/(T1^10*T2^10))}, 
 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), -((9 - 31*T1 + 57*T1^2 - 83*T1^3 + 91*T1^4 - 83*T1^5 + 57*T1^6 - 
      31*T1^7 + 9*T1^8 - 31*T2 + 76*T1*T2 - 90*T1^2*T2 + 90*T1^3*T2 - 
      28*T1^4*T2 - 28*T1^5*T2 + 90*T1^6*T2 - 90*T1^7*T2 + 76*T1^8*T2 - 
      31*T1^9*T2 + 57*T2^2 - 90*T1*T2^2 + 50*T1^2*T2^2 - 44*T1^3*T2^2 - 
      66*T1^4*T2^2 + 66*T1^5*T2^2 - 66*T1^6*T2^2 - 44*T1^7*T2^2 + 
      50*T1^8*T2^2 - 90*T1^9*T2^2 + 57*T1^10*T2^2 - 83*T2^3 + 90*T1*T2^3 - 
      44*T1^2*T2^3 + 112*T1^3*T2^3 + 72*T1^4*T2^3 + 4*T1^5*T2^3 + 
      4*T1^6*T2^3 + 72*T1^7*T2^3 + 112*T1^8*T2^3 - 44*T1^9*T2^3 + 
      90*T1^10*T2^3 - 83*T1^11*T2^3 + 91*T2^4 - 28*T1*T2^4 - 66*T1^2*T2^4 + 
      72*T1^3*T2^4 - 516*T1^4*T2^4 + 374*T1^5*T2^4 - 430*T1^6*T2^4 + 
      374*T1^7*T2^4 - 516*T1^8*T2^4 + 72*T1^9*T2^4 - 66*T1^10*T2^4 - 
      28*T1^11*T2^4 + 91*T1^12*T2^4 - 83*T2^5 - 28*T1*T2^5 + 66*T1^2*T2^5 + 
      4*T1^3*T2^5 + 374*T1^4*T2^5 + 110*T1^5*T2^5 - 8*T1^6*T2^5 - 
      8*T1^7*T2^5 + 110*T1^8*T2^5 + 374*T1^9*T2^5 + 4*T1^10*T2^5 + 
      66*T1^11*T2^5 - 28*T1^12*T2^5 - 83*T1^13*T2^5 + 57*T2^6 + 90*T1*T2^6 - 
      66*T1^2*T2^6 + 4*T1^3*T2^6 - 430*T1^4*T2^6 - 8*T1^5*T2^6 - 
      494*T1^6*T2^6 + 582*T1^7*T2^6 - 494*T1^8*T2^6 - 8*T1^9*T2^6 - 
      430*T1^10*T2^6 + 4*T1^11*T2^6 - 66*T1^12*T2^6 + 90*T1^13*T2^6 + 
      57*T1^14*T2^6 - 31*T2^7 - 90*T1*T2^7 - 44*T1^2*T2^7 + 72*T1^3*T2^7 + 
      374*T1^4*T2^7 - 8*T1^5*T2^7 + 582*T1^6*T2^7 - 222*T1^7*T2^7 - 
      222*T1^8*T2^7 + 582*T1^9*T2^7 - 8*T1^10*T2^7 + 374*T1^11*T2^7 + 
      72*T1^12*T2^7 - 44*T1^13*T2^7 - 90*T1^14*T2^7 - 31*T1^15*T2^7 + 
      9*T2^8 + 76*T1*T2^8 + 50*T1^2*T2^8 + 112*T1^3*T2^8 - 516*T1^4*T2^8 + 
      110*T1^5*T2^8 - 494*T1^6*T2^8 - 222*T1^7*T2^8 + 432*T1^8*T2^8 - 
      222*T1^9*T2^8 - 494*T1^10*T2^8 + 110*T1^11*T2^8 - 516*T1^12*T2^8 + 
      112*T1^13*T2^8 + 50*T1^14*T2^8 + 76*T1^15*T2^8 + 9*T1^16*T2^8 - 
      31*T1*T2^9 - 90*T1^2*T2^9 - 44*T1^3*T2^9 + 72*T1^4*T2^9 + 
      374*T1^5*T2^9 - 8*T1^6*T2^9 + 582*T1^7*T2^9 - 222*T1^8*T2^9 - 
      222*T1^9*T2^9 + 582*T1^10*T2^9 - 8*T1^11*T2^9 + 374*T1^12*T2^9 + 
      72*T1^13*T2^9 - 44*T1^14*T2^9 - 90*T1^15*T2^9 - 31*T1^16*T2^9 + 
      57*T1^2*T2^10 + 90*T1^3*T2^10 - 66*T1^4*T2^10 + 4*T1^5*T2^10 - 
      430*T1^6*T2^10 - 8*T1^7*T2^10 - 494*T1^8*T2^10 + 582*T1^9*T2^10 - 
      494*T1^10*T2^10 - 8*T1^11*T2^10 - 430*T1^12*T2^10 + 4*T1^13*T2^10 - 
      66*T1^14*T2^10 + 90*T1^15*T2^10 + 57*T1^16*T2^10 - 83*T1^3*T2^11 - 
      28*T1^4*T2^11 + 66*T1^5*T2^11 + 4*T1^6*T2^11 + 374*T1^7*T2^11 + 
      110*T1^8*T2^11 - 8*T1^9*T2^11 - 8*T1^10*T2^11 + 110*T1^11*T2^11 + 
      374*T1^12*T2^11 + 4*T1^13*T2^11 + 66*T1^14*T2^11 - 28*T1^15*T2^11 - 
      83*T1^16*T2^11 + 91*T1^4*T2^12 - 28*T1^5*T2^12 - 66*T1^6*T2^12 + 
      72*T1^7*T2^12 - 516*T1^8*T2^12 + 374*T1^9*T2^12 - 430*T1^10*T2^12 + 
      374*T1^11*T2^12 - 516*T1^12*T2^12 + 72*T1^13*T2^12 - 66*T1^14*T2^12 - 
      28*T1^15*T2^12 + 91*T1^16*T2^12 - 83*T1^5*T2^13 + 90*T1^6*T2^13 - 
      44*T1^7*T2^13 + 112*T1^8*T2^13 + 72*T1^9*T2^13 + 4*T1^10*T2^13 + 
      4*T1^11*T2^13 + 72*T1^12*T2^13 + 112*T1^13*T2^13 - 44*T1^14*T2^13 + 
      90*T1^15*T2^13 - 83*T1^16*T2^13 + 57*T1^6*T2^14 - 90*T1^7*T2^14 + 
      50*T1^8*T2^14 - 44*T1^9*T2^14 - 66*T1^10*T2^14 + 66*T1^11*T2^14 - 
      66*T1^12*T2^14 - 44*T1^13*T2^14 + 50*T1^14*T2^14 - 90*T1^15*T2^14 + 
      57*T1^16*T2^14 - 31*T1^7*T2^15 + 76*T1^8*T2^15 - 90*T1^9*T2^15 + 
      90*T1^10*T2^15 - 28*T1^11*T2^15 - 28*T1^12*T2^15 + 90*T1^13*T2^15 - 
      90*T1^14*T2^15 + 76*T1^15*T2^15 - 31*T1^16*T2^15 + 9*T1^8*T2^16 - 
      31*T1^9*T2^16 + 57*T1^10*T2^16 - 83*T1^11*T2^16 + 91*T1^12*T2^16 - 
      83*T1^13*T2^16 + 57*T1^14*T2^16 - 31*T1^15*T2^16 + 9*T1^16*T2^16)/
     (T1^8*T2^8))}, 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), -((9 - 35*T1 + 77*T1^2 - 123*T1^3 + 139*T1^4 - 123*T1^5 + 
      77*T1^6 - 35*T1^7 + 9*T1^8 - 35*T2 + 102*T1*T2 - 166*T1^2*T2 + 
      182*T1^3*T2 - 64*T1^4*T2 - 64*T1^5*T2 + 182*T1^6*T2 - 166*T1^7*T2 + 
      102*T1^8*T2 - 35*T1^9*T2 + 77*T2^2 - 166*T1*T2^2 + 204*T1^2*T2^2 - 
      168*T1^3*T2^2 - 54*T1^4*T2^2 + 62*T1^5*T2^2 - 54*T1^6*T2^2 - 
      168*T1^7*T2^2 + 204*T1^8*T2^2 - 166*T1^9*T2^2 + 77*T1^10*T2^2 - 
      123*T2^3 + 182*T1*T2^3 - 168*T1^2*T2^3 + 122*T1^3*T2^3 + 
      166*T1^4*T2^3 + 38*T1^5*T2^3 + 38*T1^6*T2^3 + 166*T1^7*T2^3 + 
      122*T1^8*T2^3 - 168*T1^9*T2^3 + 182*T1^10*T2^3 - 123*T1^11*T2^3 + 
      139*T2^4 - 64*T1*T2^4 - 54*T1^2*T2^4 + 166*T1^3*T2^4 - 595*T1^4*T2^4 + 
      183*T1^5*T2^4 - 509*T1^6*T2^4 + 183*T1^7*T2^4 - 595*T1^8*T2^4 + 
      166*T1^9*T2^4 - 54*T1^10*T2^4 - 64*T1^11*T2^4 + 139*T1^12*T2^4 - 
      123*T2^5 - 64*T1*T2^5 + 62*T1^2*T2^5 + 38*T1^3*T2^5 + 183*T1^4*T2^5 + 
      592*T1^5*T2^5 + 168*T1^6*T2^5 + 168*T1^7*T2^5 + 592*T1^8*T2^5 + 
      183*T1^9*T2^5 + 38*T1^10*T2^5 + 62*T1^11*T2^5 - 64*T1^12*T2^5 - 
      123*T1^13*T2^5 + 77*T2^6 + 182*T1*T2^6 - 54*T1^2*T2^6 + 38*T1^3*T2^6 - 
      509*T1^4*T2^6 + 168*T1^5*T2^6 - 1807*T1^6*T2^6 + 1265*T1^7*T2^6 - 
      1807*T1^8*T2^6 + 168*T1^9*T2^6 - 509*T1^10*T2^6 + 38*T1^11*T2^6 - 
      54*T1^12*T2^6 + 182*T1^13*T2^6 + 77*T1^14*T2^6 - 35*T2^7 - 
      166*T1*T2^7 - 168*T1^2*T2^7 + 166*T1^3*T2^7 + 183*T1^4*T2^7 + 
      168*T1^5*T2^7 + 1265*T1^6*T2^7 + 190*T1^7*T2^7 + 190*T1^8*T2^7 + 
      1265*T1^9*T2^7 + 168*T1^10*T2^7 + 183*T1^11*T2^7 + 166*T1^12*T2^7 - 
      168*T1^13*T2^7 - 166*T1^14*T2^7 - 35*T1^15*T2^7 + 9*T2^8 + 
      102*T1*T2^8 + 204*T1^2*T2^8 + 122*T1^3*T2^8 - 595*T1^4*T2^8 + 
      592*T1^5*T2^8 - 1807*T1^6*T2^8 + 190*T1^7*T2^8 - 1092*T1^8*T2^8 + 
      190*T1^9*T2^8 - 1807*T1^10*T2^8 + 592*T1^11*T2^8 - 595*T1^12*T2^8 + 
      122*T1^13*T2^8 + 204*T1^14*T2^8 + 102*T1^15*T2^8 + 9*T1^16*T2^8 - 
      35*T1*T2^9 - 166*T1^2*T2^9 - 168*T1^3*T2^9 + 166*T1^4*T2^9 + 
      183*T1^5*T2^9 + 168*T1^6*T2^9 + 1265*T1^7*T2^9 + 190*T1^8*T2^9 + 
      190*T1^9*T2^9 + 1265*T1^10*T2^9 + 168*T1^11*T2^9 + 183*T1^12*T2^9 + 
      166*T1^13*T2^9 - 168*T1^14*T2^9 - 166*T1^15*T2^9 - 35*T1^16*T2^9 + 
      77*T1^2*T2^10 + 182*T1^3*T2^10 - 54*T1^4*T2^10 + 38*T1^5*T2^10 - 
      509*T1^6*T2^10 + 168*T1^7*T2^10 - 1807*T1^8*T2^10 + 1265*T1^9*T2^10 - 
      1807*T1^10*T2^10 + 168*T1^11*T2^10 - 509*T1^12*T2^10 + 38*T1^13*T2^10 - 
      54*T1^14*T2^10 + 182*T1^15*T2^10 + 77*T1^16*T2^10 - 123*T1^3*T2^11 - 
      64*T1^4*T2^11 + 62*T1^5*T2^11 + 38*T1^6*T2^11 + 183*T1^7*T2^11 + 
      592*T1^8*T2^11 + 168*T1^9*T2^11 + 168*T1^10*T2^11 + 592*T1^11*T2^11 + 
      183*T1^12*T2^11 + 38*T1^13*T2^11 + 62*T1^14*T2^11 - 64*T1^15*T2^11 - 
      123*T1^16*T2^11 + 139*T1^4*T2^12 - 64*T1^5*T2^12 - 54*T1^6*T2^12 + 
      166*T1^7*T2^12 - 595*T1^8*T2^12 + 183*T1^9*T2^12 - 509*T1^10*T2^12 + 
      183*T1^11*T2^12 - 595*T1^12*T2^12 + 166*T1^13*T2^12 - 54*T1^14*T2^12 - 
      64*T1^15*T2^12 + 139*T1^16*T2^12 - 123*T1^5*T2^13 + 182*T1^6*T2^13 - 
      168*T1^7*T2^13 + 122*T1^8*T2^13 + 166*T1^9*T2^13 + 38*T1^10*T2^13 + 
      38*T1^11*T2^13 + 166*T1^12*T2^13 + 122*T1^13*T2^13 - 168*T1^14*T2^13 + 
      182*T1^15*T2^13 - 123*T1^16*T2^13 + 77*T1^6*T2^14 - 166*T1^7*T2^14 + 
      204*T1^8*T2^14 - 168*T1^9*T2^14 - 54*T1^10*T2^14 + 62*T1^11*T2^14 - 
      54*T1^12*T2^14 - 168*T1^13*T2^14 + 204*T1^14*T2^14 - 166*T1^15*T2^14 + 
      77*T1^16*T2^14 - 35*T1^7*T2^15 + 102*T1^8*T2^15 - 166*T1^9*T2^15 + 
      182*T1^10*T2^15 - 64*T1^11*T2^15 - 64*T1^12*T2^15 + 182*T1^13*T2^15 - 
      166*T1^14*T2^15 + 102*T1^15*T2^15 - 35*T1^16*T2^15 + 9*T1^8*T2^16 - 
      35*T1^9*T2^16 + 77*T1^10*T2^16 - 123*T1^11*T2^16 + 139*T1^12*T2^16 - 
      123*T1^13*T2^16 + 77*T1^14*T2^16 - 35*T1^15*T2^16 + 9*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 1137] -> 
  {-(((1 - T + T^2)*(4 - 12*T + 15*T^2 - 12*T^3 + 4*T^4))/T^3), 
   -((16 - 56*T1 + 104*T1^2 - 136*T1^3 + 104*T1^4 - 56*T1^5 + 16*T1^6 - 
      56*T2 + 140*T1*T2 - 168*T1^2*T2 + 112*T1^3*T2 + 112*T1^4*T2 - 
      168*T1^5*T2 + 140*T1^6*T2 - 56*T1^7*T2 + 104*T2^2 - 168*T1*T2^2 + 
      136*T1^2*T2^2 - 176*T1^3*T2^2 - 2*T1^4*T2^2 - 176*T1^5*T2^2 + 
      136*T1^6*T2^2 - 168*T1^7*T2^2 + 104*T1^8*T2^2 - 136*T2^3 + 
      112*T1*T2^3 - 176*T1^2*T2^3 + 610*T1^3*T2^3 - 112*T1^4*T2^3 - 
      112*T1^5*T2^3 + 610*T1^6*T2^3 - 176*T1^7*T2^3 + 112*T1^8*T2^3 - 
      136*T1^9*T2^3 + 104*T2^4 + 112*T1*T2^4 - 2*T1^2*T2^4 - 112*T1^3*T2^4 - 
      1935*T1^4*T2^4 + 2371*T1^5*T2^4 - 1935*T1^6*T2^4 - 112*T1^7*T2^4 - 
      2*T1^8*T2^4 + 112*T1^9*T2^4 + 104*T1^10*T2^4 - 56*T2^5 - 168*T1*T2^5 - 
      176*T1^2*T2^5 - 112*T1^3*T2^5 + 2371*T1^4*T2^5 - 822*T1^5*T2^5 - 
      822*T1^6*T2^5 + 2371*T1^7*T2^5 - 112*T1^8*T2^5 - 176*T1^9*T2^5 - 
      168*T1^10*T2^5 - 56*T1^11*T2^5 + 16*T2^6 + 140*T1*T2^6 + 
      136*T1^2*T2^6 + 610*T1^3*T2^6 - 1935*T1^4*T2^6 - 822*T1^5*T2^6 + 
      1284*T1^6*T2^6 - 822*T1^7*T2^6 - 1935*T1^8*T2^6 + 610*T1^9*T2^6 + 
      136*T1^10*T2^6 + 140*T1^11*T2^6 + 16*T1^12*T2^6 - 56*T1*T2^7 - 
      168*T1^2*T2^7 - 176*T1^3*T2^7 - 112*T1^4*T2^7 + 2371*T1^5*T2^7 - 
      822*T1^6*T2^7 - 822*T1^7*T2^7 + 2371*T1^8*T2^7 - 112*T1^9*T2^7 - 
      176*T1^10*T2^7 - 168*T1^11*T2^7 - 56*T1^12*T2^7 + 104*T1^2*T2^8 + 
      112*T1^3*T2^8 - 2*T1^4*T2^8 - 112*T1^5*T2^8 - 1935*T1^6*T2^8 + 
      2371*T1^7*T2^8 - 1935*T1^8*T2^8 - 112*T1^9*T2^8 - 2*T1^10*T2^8 + 
      112*T1^11*T2^8 + 104*T1^12*T2^8 - 136*T1^3*T2^9 + 112*T1^4*T2^9 - 
      176*T1^5*T2^9 + 610*T1^6*T2^9 - 112*T1^7*T2^9 - 112*T1^8*T2^9 + 
      610*T1^9*T2^9 - 176*T1^10*T2^9 + 112*T1^11*T2^9 - 136*T1^12*T2^9 + 
      104*T1^4*T2^10 - 168*T1^5*T2^10 + 136*T1^6*T2^10 - 176*T1^7*T2^10 - 
      2*T1^8*T2^10 - 176*T1^9*T2^10 + 136*T1^10*T2^10 - 168*T1^11*T2^10 + 
      104*T1^12*T2^10 - 56*T1^5*T2^11 + 140*T1^6*T2^11 - 168*T1^7*T2^11 + 
      112*T1^8*T2^11 + 112*T1^9*T2^11 - 168*T1^10*T2^11 + 140*T1^11*T2^11 - 
      56*T1^12*T2^11 + 16*T1^6*T2^12 - 56*T1^7*T2^12 + 104*T1^8*T2^12 - 
      136*T1^9*T2^12 + 104*T1^10*T2^12 - 56*T1^11*T2^12 + 16*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, Alternating, 1138] -> 
  {(3 - 11*T + 17*T^2 - 17*T^3 + 17*T^4 - 11*T^5 + 3*T^6)/T^3, 
   (18 - 68*T1 + 104*T1^2 - 104*T1^3 + 104*T1^4 - 68*T1^5 + 18*T1^6 - 68*T2 + 
     188*T1*T2 - 136*T1^2*T2 - 136*T1^5*T2 + 188*T1^6*T2 - 68*T1^7*T2 + 
     104*T2^2 - 136*T1*T2^2 - 275*T1^2*T2^2 + 559*T1^3*T2^2 - 405*T1^4*T2^2 + 
     559*T1^5*T2^2 - 275*T1^6*T2^2 - 136*T1^7*T2^2 + 104*T1^8*T2^2 - 
     104*T2^3 + 559*T1^2*T2^3 - 522*T1^3*T2^3 - 10*T1^4*T2^3 - 10*T1^5*T2^3 - 
     522*T1^6*T2^3 + 559*T1^7*T2^3 - 104*T1^9*T2^3 + 104*T2^4 - 
     405*T1^2*T2^4 - 10*T1^3*T2^4 + 661*T1^4*T2^4 - 593*T1^5*T2^4 + 
     661*T1^6*T2^4 - 10*T1^7*T2^4 - 405*T1^8*T2^4 + 104*T1^10*T2^4 - 
     68*T2^5 - 136*T1*T2^5 + 559*T1^2*T2^5 - 10*T1^3*T2^5 - 593*T1^4*T2^5 + 
     262*T1^5*T2^5 + 262*T1^6*T2^5 - 593*T1^7*T2^5 - 10*T1^8*T2^5 + 
     559*T1^9*T2^5 - 136*T1^10*T2^5 - 68*T1^11*T2^5 + 18*T2^6 + 188*T1*T2^6 - 
     275*T1^2*T2^6 - 522*T1^3*T2^6 + 661*T1^4*T2^6 + 262*T1^5*T2^6 - 
     768*T1^6*T2^6 + 262*T1^7*T2^6 + 661*T1^8*T2^6 - 522*T1^9*T2^6 - 
     275*T1^10*T2^6 + 188*T1^11*T2^6 + 18*T1^12*T2^6 - 68*T1*T2^7 - 
     136*T1^2*T2^7 + 559*T1^3*T2^7 - 10*T1^4*T2^7 - 593*T1^5*T2^7 + 
     262*T1^6*T2^7 + 262*T1^7*T2^7 - 593*T1^8*T2^7 - 10*T1^9*T2^7 + 
     559*T1^10*T2^7 - 136*T1^11*T2^7 - 68*T1^12*T2^7 + 104*T1^2*T2^8 - 
     405*T1^4*T2^8 - 10*T1^5*T2^8 + 661*T1^6*T2^8 - 593*T1^7*T2^8 + 
     661*T1^8*T2^8 - 10*T1^9*T2^8 - 405*T1^10*T2^8 + 104*T1^12*T2^8 - 
     104*T1^3*T2^9 + 559*T1^5*T2^9 - 522*T1^6*T2^9 - 10*T1^7*T2^9 - 
     10*T1^8*T2^9 - 522*T1^9*T2^9 + 559*T1^10*T2^9 - 104*T1^12*T2^9 + 
     104*T1^4*T2^10 - 136*T1^5*T2^10 - 275*T1^6*T2^10 + 559*T1^7*T2^10 - 
     405*T1^8*T2^10 + 559*T1^9*T2^10 - 275*T1^10*T2^10 - 136*T1^11*T2^10 + 
     104*T1^12*T2^10 - 68*T1^5*T2^11 + 188*T1^6*T2^11 - 136*T1^7*T2^11 - 
     136*T1^10*T2^11 + 188*T1^11*T2^11 - 68*T1^12*T2^11 + 18*T1^6*T2^12 - 
     68*T1^7*T2^12 + 104*T1^8*T2^12 - 104*T1^9*T2^12 + 104*T1^10*T2^12 - 
     68*T1^11*T2^12 + 18*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 1139] -> {(6 - 25*T + 39*T^2 - 25*T^3 + 6*T^4)/T^2, 
   -((45 - 185*T1 + 291*T1^2 - 185*T1^3 + 45*T1^4 - 185*T2 + 574*T1*T2 - 
      434*T1^2*T2 - 434*T1^3*T2 + 574*T1^4*T2 - 185*T1^5*T2 + 291*T2^2 - 
      434*T1*T2^2 - 960*T1^2*T2^2 + 2544*T1^3*T2^2 - 960*T1^4*T2^2 - 
      434*T1^5*T2^2 + 291*T1^6*T2^2 - 185*T2^3 - 434*T1*T2^3 + 
      2544*T1^2*T2^3 - 2284*T1^3*T2^3 - 2284*T1^4*T2^3 + 2544*T1^5*T2^3 - 
      434*T1^6*T2^3 - 185*T1^7*T2^3 + 45*T2^4 + 574*T1*T2^4 - 960*T1^2*T2^4 - 
      2284*T1^3*T2^4 + 6168*T1^4*T2^4 - 2284*T1^5*T2^4 - 960*T1^6*T2^4 + 
      574*T1^7*T2^4 + 45*T1^8*T2^4 - 185*T1*T2^5 - 434*T1^2*T2^5 + 
      2544*T1^3*T2^5 - 2284*T1^4*T2^5 - 2284*T1^5*T2^5 + 2544*T1^6*T2^5 - 
      434*T1^7*T2^5 - 185*T1^8*T2^5 + 291*T1^2*T2^6 - 434*T1^3*T2^6 - 
      960*T1^4*T2^6 + 2544*T1^5*T2^6 - 960*T1^6*T2^6 - 434*T1^7*T2^6 + 
      291*T1^8*T2^6 - 185*T1^3*T2^7 + 574*T1^4*T2^7 - 434*T1^5*T2^7 - 
      434*T1^6*T2^7 + 574*T1^7*T2^7 - 185*T1^8*T2^7 + 45*T1^4*T2^8 - 
      185*T1^5*T2^8 + 291*T1^6*T2^8 - 185*T1^7*T2^8 + 45*T1^8*T2^8)/
     (T1^4*T2^4))}, Knot[12, Alternating, 1140] -> 
  {-((3 - 11*T + 21*T^2 - 27*T^3 + 21*T^4 - 11*T^5 + 3*T^6)/T^3), 
   -((9 - 31*T1 + 57*T1^2 - 75*T1^3 + 57*T1^4 - 31*T1^5 + 9*T1^6 - 31*T2 + 
      76*T1*T2 - 90*T1^2*T2 + 62*T1^3*T2 + 62*T1^4*T2 - 90*T1^5*T2 + 
      76*T1^6*T2 - 31*T1^7*T2 + 57*T2^2 - 90*T1*T2^2 + 50*T1^2*T2^2 - 
      28*T1^3*T2^2 - 98*T1^4*T2^2 - 28*T1^5*T2^2 + 50*T1^6*T2^2 - 
      90*T1^7*T2^2 + 57*T1^8*T2^2 - 75*T2^3 + 62*T1*T2^3 - 28*T1^2*T2^3 + 
      156*T1^3*T2^3 + 44*T1^4*T2^3 + 44*T1^5*T2^3 + 156*T1^6*T2^3 - 
      28*T1^7*T2^3 + 62*T1^8*T2^3 - 75*T1^9*T2^3 + 57*T2^4 + 62*T1*T2^4 - 
      98*T1^2*T2^4 + 44*T1^3*T2^4 - 678*T1^4*T2^4 + 574*T1^5*T2^4 - 
      678*T1^6*T2^4 + 44*T1^7*T2^4 - 98*T1^8*T2^4 + 62*T1^9*T2^4 + 
      57*T1^10*T2^4 - 31*T2^5 - 90*T1*T2^5 - 28*T1^2*T2^5 + 44*T1^3*T2^5 + 
      574*T1^4*T2^5 + 34*T1^5*T2^5 + 34*T1^6*T2^5 + 574*T1^7*T2^5 + 
      44*T1^8*T2^5 - 28*T1^9*T2^5 - 90*T1^10*T2^5 - 31*T1^11*T2^5 + 9*T2^6 + 
      76*T1*T2^6 + 50*T1^2*T2^6 + 156*T1^3*T2^6 - 678*T1^4*T2^6 + 
      34*T1^5*T2^6 - 456*T1^6*T2^6 + 34*T1^7*T2^6 - 678*T1^8*T2^6 + 
      156*T1^9*T2^6 + 50*T1^10*T2^6 + 76*T1^11*T2^6 + 9*T1^12*T2^6 - 
      31*T1*T2^7 - 90*T1^2*T2^7 - 28*T1^3*T2^7 + 44*T1^4*T2^7 + 
      574*T1^5*T2^7 + 34*T1^6*T2^7 + 34*T1^7*T2^7 + 574*T1^8*T2^7 + 
      44*T1^9*T2^7 - 28*T1^10*T2^7 - 90*T1^11*T2^7 - 31*T1^12*T2^7 + 
      57*T1^2*T2^8 + 62*T1^3*T2^8 - 98*T1^4*T2^8 + 44*T1^5*T2^8 - 
      678*T1^6*T2^8 + 574*T1^7*T2^8 - 678*T1^8*T2^8 + 44*T1^9*T2^8 - 
      98*T1^10*T2^8 + 62*T1^11*T2^8 + 57*T1^12*T2^8 - 75*T1^3*T2^9 + 
      62*T1^4*T2^9 - 28*T1^5*T2^9 + 156*T1^6*T2^9 + 44*T1^7*T2^9 + 
      44*T1^8*T2^9 + 156*T1^9*T2^9 - 28*T1^10*T2^9 + 62*T1^11*T2^9 - 
      75*T1^12*T2^9 + 57*T1^4*T2^10 - 90*T1^5*T2^10 + 50*T1^6*T2^10 - 
      28*T1^7*T2^10 - 98*T1^8*T2^10 - 28*T1^9*T2^10 + 50*T1^10*T2^10 - 
      90*T1^11*T2^10 + 57*T1^12*T2^10 - 31*T1^5*T2^11 + 76*T1^6*T2^11 - 
      90*T1^7*T2^11 + 62*T1^8*T2^11 + 62*T1^9*T2^11 - 90*T1^10*T2^11 + 
      76*T1^11*T2^11 - 31*T1^12*T2^11 + 9*T1^6*T2^12 - 31*T1^7*T2^12 + 
      57*T1^8*T2^12 - 75*T1^9*T2^12 + 57*T1^10*T2^12 - 31*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, 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), -((1 - 8*T1 + 22*T1^2 - 34*T1^3 + 37*T1^4 - 34*T1^5 + 22*T1^6 - 
      8*T1^7 + T1^8 - 8*T2 + 56*T1*T2 - 113*T1^2*T2 + 97*T1^3*T2 - 
      24*T1^4*T2 - 24*T1^5*T2 + 97*T1^6*T2 - 113*T1^7*T2 + 56*T1^8*T2 - 
      8*T1^9*T2 + 22*T2^2 - 113*T1*T2^2 - 2*T1^2*T2^2 + 494*T1^3*T2^2 - 
      904*T1^4*T2^2 + 896*T1^5*T2^2 - 904*T1^6*T2^2 + 494*T1^7*T2^2 - 
      2*T1^8*T2^2 - 113*T1^9*T2^2 + 22*T1^10*T2^2 - 34*T2^3 + 97*T1*T2^3 + 
      494*T1^2*T2^3 - 1432*T1^3*T2^3 + 1256*T1^4*T2^3 - 168*T1^5*T2^3 - 
      168*T1^6*T2^3 + 1256*T1^7*T2^3 - 1432*T1^8*T2^3 + 494*T1^9*T2^3 + 
      97*T1^10*T2^3 - 34*T1^11*T2^3 + 37*T2^4 - 24*T1*T2^4 - 904*T1^2*T2^4 + 
      1256*T1^3*T2^4 + 722*T1^4*T2^4 - 2657*T1^5*T2^4 + 2080*T1^6*T2^4 - 
      2657*T1^7*T2^4 + 722*T1^8*T2^4 + 1256*T1^9*T2^4 - 904*T1^10*T2^4 - 
      24*T1^11*T2^4 + 37*T1^12*T2^4 - 34*T2^5 - 24*T1*T2^5 + 896*T1^2*T2^5 - 
      168*T1^3*T2^5 - 2657*T1^4*T2^5 + 3108*T1^5*T2^5 - 198*T1^6*T2^5 - 
      198*T1^7*T2^5 + 3108*T1^8*T2^5 - 2657*T1^9*T2^5 - 168*T1^10*T2^5 + 
      896*T1^11*T2^5 - 24*T1^12*T2^5 - 34*T1^13*T2^5 + 22*T2^6 + 97*T1*T2^6 - 
      904*T1^2*T2^6 - 168*T1^3*T2^6 + 2080*T1^4*T2^6 - 198*T1^5*T2^6 - 
      3745*T1^6*T2^6 + 3185*T1^7*T2^6 - 3745*T1^8*T2^6 - 198*T1^9*T2^6 + 
      2080*T1^10*T2^6 - 168*T1^11*T2^6 - 904*T1^12*T2^6 + 97*T1^13*T2^6 + 
      22*T1^14*T2^6 - 8*T2^7 - 113*T1*T2^7 + 494*T1^2*T2^7 + 1256*T1^3*T2^7 - 
      2657*T1^4*T2^7 - 198*T1^5*T2^7 + 3185*T1^6*T2^7 - 598*T1^7*T2^7 - 
      598*T1^8*T2^7 + 3185*T1^9*T2^7 - 198*T1^10*T2^7 - 2657*T1^11*T2^7 + 
      1256*T1^12*T2^7 + 494*T1^13*T2^7 - 113*T1^14*T2^7 - 8*T1^15*T2^7 + 
      T2^8 + 56*T1*T2^8 - 2*T1^2*T2^8 - 1432*T1^3*T2^8 + 722*T1^4*T2^8 + 
      3108*T1^5*T2^8 - 3745*T1^6*T2^8 - 598*T1^7*T2^8 + 996*T1^8*T2^8 - 
      598*T1^9*T2^8 - 3745*T1^10*T2^8 + 3108*T1^11*T2^8 + 722*T1^12*T2^8 - 
      1432*T1^13*T2^8 - 2*T1^14*T2^8 + 56*T1^15*T2^8 + T1^16*T2^8 - 
      8*T1*T2^9 - 113*T1^2*T2^9 + 494*T1^3*T2^9 + 1256*T1^4*T2^9 - 
      2657*T1^5*T2^9 - 198*T1^6*T2^9 + 3185*T1^7*T2^9 - 598*T1^8*T2^9 - 
      598*T1^9*T2^9 + 3185*T1^10*T2^9 - 198*T1^11*T2^9 - 2657*T1^12*T2^9 + 
      1256*T1^13*T2^9 + 494*T1^14*T2^9 - 113*T1^15*T2^9 - 8*T1^16*T2^9 + 
      22*T1^2*T2^10 + 97*T1^3*T2^10 - 904*T1^4*T2^10 - 168*T1^5*T2^10 + 
      2080*T1^6*T2^10 - 198*T1^7*T2^10 - 3745*T1^8*T2^10 + 3185*T1^9*T2^10 - 
      3745*T1^10*T2^10 - 198*T1^11*T2^10 + 2080*T1^12*T2^10 - 
      168*T1^13*T2^10 - 904*T1^14*T2^10 + 97*T1^15*T2^10 + 22*T1^16*T2^10 - 
      34*T1^3*T2^11 - 24*T1^4*T2^11 + 896*T1^5*T2^11 - 168*T1^6*T2^11 - 
      2657*T1^7*T2^11 + 3108*T1^8*T2^11 - 198*T1^9*T2^11 - 198*T1^10*T2^11 + 
      3108*T1^11*T2^11 - 2657*T1^12*T2^11 - 168*T1^13*T2^11 + 
      896*T1^14*T2^11 - 24*T1^15*T2^11 - 34*T1^16*T2^11 + 37*T1^4*T2^12 - 
      24*T1^5*T2^12 - 904*T1^6*T2^12 + 1256*T1^7*T2^12 + 722*T1^8*T2^12 - 
      2657*T1^9*T2^12 + 2080*T1^10*T2^12 - 2657*T1^11*T2^12 + 
      722*T1^12*T2^12 + 1256*T1^13*T2^12 - 904*T1^14*T2^12 - 24*T1^15*T2^12 + 
      37*T1^16*T2^12 - 34*T1^5*T2^13 + 97*T1^6*T2^13 + 494*T1^7*T2^13 - 
      1432*T1^8*T2^13 + 1256*T1^9*T2^13 - 168*T1^10*T2^13 - 168*T1^11*T2^13 + 
      1256*T1^12*T2^13 - 1432*T1^13*T2^13 + 494*T1^14*T2^13 + 
      97*T1^15*T2^13 - 34*T1^16*T2^13 + 22*T1^6*T2^14 - 113*T1^7*T2^14 - 
      2*T1^8*T2^14 + 494*T1^9*T2^14 - 904*T1^10*T2^14 + 896*T1^11*T2^14 - 
      904*T1^12*T2^14 + 494*T1^13*T2^14 - 2*T1^14*T2^14 - 113*T1^15*T2^14 + 
      22*T1^16*T2^14 - 8*T1^7*T2^15 + 56*T1^8*T2^15 - 113*T1^9*T2^15 + 
      97*T1^10*T2^15 - 24*T1^11*T2^15 - 24*T1^12*T2^15 + 97*T1^13*T2^15 - 
      113*T1^14*T2^15 + 56*T1^15*T2^15 - 8*T1^16*T2^15 + T1^8*T2^16 - 
      8*T1^9*T2^16 + 22*T1^10*T2^16 - 34*T1^11*T2^16 + 37*T1^12*T2^16 - 
      34*T1^13*T2^16 + 22*T1^14*T2^16 - 8*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 1142] -> 
  {(4 - 14*T + 21*T^2 - 21*T^3 + 21*T^4 - 14*T^5 + 4*T^6)/T^3, 
   (48 - 168*T1 + 248*T1^2 - 248*T1^3 + 248*T1^4 - 168*T1^5 + 48*T1^6 - 
     168*T2 + 418*T1*T2 - 278*T1^2*T2 - 278*T1^5*T2 + 418*T1^6*T2 - 
     168*T1^7*T2 + 248*T2^2 - 278*T1*T2^2 - 575*T1^2*T2^2 + 1073*T1^3*T2^2 - 
     777*T1^4*T2^2 + 1073*T1^5*T2^2 - 575*T1^6*T2^2 - 278*T1^7*T2^2 + 
     248*T1^8*T2^2 - 248*T2^3 + 1073*T1^2*T2^3 - 924*T1^3*T2^3 - 
     16*T1^4*T2^3 - 16*T1^5*T2^3 - 924*T1^6*T2^3 + 1073*T1^7*T2^3 - 
     248*T1^9*T2^3 + 248*T2^4 - 777*T1^2*T2^4 - 16*T1^3*T2^4 + 
     1119*T1^4*T2^4 - 1011*T1^5*T2^4 + 1119*T1^6*T2^4 - 16*T1^7*T2^4 - 
     777*T1^8*T2^4 + 248*T1^10*T2^4 - 168*T2^5 - 278*T1*T2^5 + 
     1073*T1^2*T2^5 - 16*T1^3*T2^5 - 1011*T1^4*T2^5 + 444*T1^5*T2^5 + 
     444*T1^6*T2^5 - 1011*T1^7*T2^5 - 16*T1^8*T2^5 + 1073*T1^9*T2^5 - 
     278*T1^10*T2^5 - 168*T1^11*T2^5 + 48*T2^6 + 418*T1*T2^6 - 
     575*T1^2*T2^6 - 924*T1^3*T2^6 + 1119*T1^4*T2^6 + 444*T1^5*T2^6 - 
     1272*T1^6*T2^6 + 444*T1^7*T2^6 + 1119*T1^8*T2^6 - 924*T1^9*T2^6 - 
     575*T1^10*T2^6 + 418*T1^11*T2^6 + 48*T1^12*T2^6 - 168*T1*T2^7 - 
     278*T1^2*T2^7 + 1073*T1^3*T2^7 - 16*T1^4*T2^7 - 1011*T1^5*T2^7 + 
     444*T1^6*T2^7 + 444*T1^7*T2^7 - 1011*T1^8*T2^7 - 16*T1^9*T2^7 + 
     1073*T1^10*T2^7 - 278*T1^11*T2^7 - 168*T1^12*T2^7 + 248*T1^2*T2^8 - 
     777*T1^4*T2^8 - 16*T1^5*T2^8 + 1119*T1^6*T2^8 - 1011*T1^7*T2^8 + 
     1119*T1^8*T2^8 - 16*T1^9*T2^8 - 777*T1^10*T2^8 + 248*T1^12*T2^8 - 
     248*T1^3*T2^9 + 1073*T1^5*T2^9 - 924*T1^6*T2^9 - 16*T1^7*T2^9 - 
     16*T1^8*T2^9 - 924*T1^9*T2^9 + 1073*T1^10*T2^9 - 248*T1^12*T2^9 + 
     248*T1^4*T2^10 - 278*T1^5*T2^10 - 575*T1^6*T2^10 + 1073*T1^7*T2^10 - 
     777*T1^8*T2^10 + 1073*T1^9*T2^10 - 575*T1^10*T2^10 - 278*T1^11*T2^10 + 
     248*T1^12*T2^10 - 168*T1^5*T2^11 + 418*T1^6*T2^11 - 278*T1^7*T2^11 - 
     278*T1^10*T2^11 + 418*T1^11*T2^11 - 168*T1^12*T2^11 + 48*T1^6*T2^12 - 
     168*T1^7*T2^12 + 248*T1^8*T2^12 - 248*T1^9*T2^12 + 248*T1^10*T2^12 - 
     168*T1^11*T2^12 + 48*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, Alternating, 1143] -> 
  {-((2 - 17*T + 49*T^2 - 69*T^3 + 49*T^4 - 17*T^5 + 2*T^6)/T^3), 
   -((1 - 8*T1 + 22*T1^2 - 31*T1^3 + 22*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
      56*T1*T2 - 120*T1^2*T2 + 80*T1^3*T2 + 80*T1^4*T2 - 120*T1^5*T2 + 
      56*T1^6*T2 - 8*T1^7*T2 + 22*T2^2 - 120*T1*T2^2 + 18*T1^2*T2^2 + 
      684*T1^3*T2^2 - 1330*T1^4*T2^2 + 684*T1^5*T2^2 + 18*T1^6*T2^2 - 
      120*T1^7*T2^2 + 22*T1^8*T2^2 - 31*T2^3 + 80*T1*T2^3 + 684*T1^2*T2^3 - 
      2326*T1^3*T2^3 + 1862*T1^4*T2^3 + 1862*T1^5*T2^3 - 2326*T1^6*T2^3 + 
      684*T1^7*T2^3 + 80*T1^8*T2^3 - 31*T1^9*T2^3 + 22*T2^4 + 80*T1*T2^4 - 
      1330*T1^2*T2^4 + 1862*T1^3*T2^4 + 2981*T1^4*T2^4 - 8725*T1^5*T2^4 + 
      2981*T1^6*T2^4 + 1862*T1^7*T2^4 - 1330*T1^8*T2^4 + 80*T1^9*T2^4 + 
      22*T1^10*T2^4 - 8*T2^5 - 120*T1*T2^5 + 684*T1^2*T2^5 + 1862*T1^3*T2^5 - 
      8725*T1^4*T2^5 + 7670*T1^5*T2^5 + 7670*T1^6*T2^5 - 8725*T1^7*T2^5 + 
      1862*T1^8*T2^5 + 684*T1^9*T2^5 - 120*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
      56*T1*T2^6 + 18*T1^2*T2^6 - 2326*T1^3*T2^6 + 2981*T1^4*T2^6 + 
      7670*T1^5*T2^6 - 20124*T1^6*T2^6 + 7670*T1^7*T2^6 + 2981*T1^8*T2^6 - 
      2326*T1^9*T2^6 + 18*T1^10*T2^6 + 56*T1^11*T2^6 + T1^12*T2^6 - 
      8*T1*T2^7 - 120*T1^2*T2^7 + 684*T1^3*T2^7 + 1862*T1^4*T2^7 - 
      8725*T1^5*T2^7 + 7670*T1^6*T2^7 + 7670*T1^7*T2^7 - 8725*T1^8*T2^7 + 
      1862*T1^9*T2^7 + 684*T1^10*T2^7 - 120*T1^11*T2^7 - 8*T1^12*T2^7 + 
      22*T1^2*T2^8 + 80*T1^3*T2^8 - 1330*T1^4*T2^8 + 1862*T1^5*T2^8 + 
      2981*T1^6*T2^8 - 8725*T1^7*T2^8 + 2981*T1^8*T2^8 + 1862*T1^9*T2^8 - 
      1330*T1^10*T2^8 + 80*T1^11*T2^8 + 22*T1^12*T2^8 - 31*T1^3*T2^9 + 
      80*T1^4*T2^9 + 684*T1^5*T2^9 - 2326*T1^6*T2^9 + 1862*T1^7*T2^9 + 
      1862*T1^8*T2^9 - 2326*T1^9*T2^9 + 684*T1^10*T2^9 + 80*T1^11*T2^9 - 
      31*T1^12*T2^9 + 22*T1^4*T2^10 - 120*T1^5*T2^10 + 18*T1^6*T2^10 + 
      684*T1^7*T2^10 - 1330*T1^8*T2^10 + 684*T1^9*T2^10 + 18*T1^10*T2^10 - 
      120*T1^11*T2^10 + 22*T1^12*T2^10 - 8*T1^5*T2^11 + 56*T1^6*T2^11 - 
      120*T1^7*T2^11 + 80*T1^8*T2^11 + 80*T1^9*T2^11 - 120*T1^10*T2^11 + 
      56*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
      22*T1^8*T2^12 - 31*T1^9*T2^12 + 22*T1^10*T2^12 - 8*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 1144] -> 
  {(8 - 32*T + 49*T^2 - 32*T^3 + 8*T^4)/T^2, 
   (-2*(32 - 144*T1 + 232*T1^2 - 144*T1^3 + 32*T1^4 - 144*T2 + 496*T1*T2 - 
      388*T1^2*T2 - 388*T1^3*T2 + 496*T1^4*T2 - 144*T1^5*T2 + 232*T2^2 - 
      388*T1*T2^2 - 919*T1^2*T2^2 + 2434*T1^3*T2^2 - 919*T1^4*T2^2 - 
      388*T1^5*T2^2 + 232*T1^6*T2^2 - 144*T2^3 - 388*T1*T2^3 + 
      2434*T1^2*T2^3 - 2210*T1^3*T2^3 - 2210*T1^4*T2^3 + 2434*T1^5*T2^3 - 
      388*T1^6*T2^3 - 144*T1^7*T2^3 + 32*T2^4 + 496*T1*T2^4 - 919*T1^2*T2^4 - 
      2210*T1^3*T2^4 + 5994*T1^4*T2^4 - 2210*T1^5*T2^4 - 919*T1^6*T2^4 + 
      496*T1^7*T2^4 + 32*T1^8*T2^4 - 144*T1*T2^5 - 388*T1^2*T2^5 + 
      2434*T1^3*T2^5 - 2210*T1^4*T2^5 - 2210*T1^5*T2^5 + 2434*T1^6*T2^5 - 
      388*T1^7*T2^5 - 144*T1^8*T2^5 + 232*T1^2*T2^6 - 388*T1^3*T2^6 - 
      919*T1^4*T2^6 + 2434*T1^5*T2^6 - 919*T1^6*T2^6 - 388*T1^7*T2^6 + 
      232*T1^8*T2^6 - 144*T1^3*T2^7 + 496*T1^4*T2^7 - 388*T1^5*T2^7 - 
      388*T1^6*T2^7 + 496*T1^7*T2^7 - 144*T1^8*T2^7 + 32*T1^4*T2^8 - 
      144*T1^5*T2^8 + 232*T1^6*T2^8 - 144*T1^7*T2^8 + 32*T1^8*T2^8))/
    (T1^4*T2^4)}, 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), -((9 - 27*T1 + 45*T1^2 - 63*T1^3 + 67*T1^4 - 63*T1^5 + 45*T1^6 - 
      27*T1^7 + 9*T1^8 - 27*T2 + 54*T1*T2 - 54*T1^2*T2 + 54*T1^3*T2 - 
      12*T1^4*T2 - 12*T1^5*T2 + 54*T1^6*T2 - 54*T1^7*T2 + 54*T1^8*T2 - 
      27*T1^9*T2 + 45*T2^2 - 54*T1*T2^2 + 27*T1^2*T2^2 - 45*T1^3*T2^2 - 
      19*T1^4*T2^2 - 3*T1^5*T2^2 - 19*T1^6*T2^2 - 45*T1^7*T2^2 + 
      27*T1^8*T2^2 - 54*T1^9*T2^2 + 45*T1^10*T2^2 - 63*T2^3 + 54*T1*T2^3 - 
      45*T1^2*T2^3 + 108*T1^3*T2^3 + 26*T1^4*T2^3 + 30*T1^5*T2^3 + 
      30*T1^6*T2^3 + 26*T1^7*T2^3 + 108*T1^8*T2^3 - 45*T1^9*T2^3 + 
      54*T1^10*T2^3 - 63*T1^11*T2^3 + 67*T2^4 - 12*T1*T2^4 - 19*T1^2*T2^4 + 
      26*T1^3*T2^4 - 319*T1^4*T2^4 + 215*T1^5*T2^4 - 307*T1^6*T2^4 + 
      215*T1^7*T2^4 - 319*T1^8*T2^4 + 26*T1^9*T2^4 - 19*T1^10*T2^4 - 
      12*T1^11*T2^4 + 67*T1^12*T2^4 - 63*T2^5 - 12*T1*T2^5 - 3*T1^2*T2^5 + 
      30*T1^3*T2^5 + 215*T1^4*T2^5 + 66*T1^5*T2^5 + 46*T1^6*T2^5 + 
      46*T1^7*T2^5 + 66*T1^8*T2^5 + 215*T1^9*T2^5 + 30*T1^10*T2^5 - 
      3*T1^11*T2^5 - 12*T1^12*T2^5 - 63*T1^13*T2^5 + 45*T2^6 + 54*T1*T2^6 - 
      19*T1^2*T2^6 + 30*T1^3*T2^6 - 307*T1^4*T2^6 + 46*T1^5*T2^6 - 
      315*T1^6*T2^6 + 243*T1^7*T2^6 - 315*T1^8*T2^6 + 46*T1^9*T2^6 - 
      307*T1^10*T2^6 + 30*T1^11*T2^6 - 19*T1^12*T2^6 + 54*T1^13*T2^6 + 
      45*T1^14*T2^6 - 27*T2^7 - 54*T1*T2^7 - 45*T1^2*T2^7 + 26*T1^3*T2^7 + 
      215*T1^4*T2^7 + 46*T1^5*T2^7 + 243*T1^6*T2^7 - 18*T1^7*T2^7 - 
      18*T1^8*T2^7 + 243*T1^9*T2^7 + 46*T1^10*T2^7 + 215*T1^11*T2^7 + 
      26*T1^12*T2^7 - 45*T1^13*T2^7 - 54*T1^14*T2^7 - 27*T1^15*T2^7 + 
      9*T2^8 + 54*T1*T2^8 + 27*T1^2*T2^8 + 108*T1^3*T2^8 - 319*T1^4*T2^8 + 
      66*T1^5*T2^8 - 315*T1^6*T2^8 - 18*T1^7*T2^8 - 24*T1^8*T2^8 - 
      18*T1^9*T2^8 - 315*T1^10*T2^8 + 66*T1^11*T2^8 - 319*T1^12*T2^8 + 
      108*T1^13*T2^8 + 27*T1^14*T2^8 + 54*T1^15*T2^8 + 9*T1^16*T2^8 - 
      27*T1*T2^9 - 54*T1^2*T2^9 - 45*T1^3*T2^9 + 26*T1^4*T2^9 + 
      215*T1^5*T2^9 + 46*T1^6*T2^9 + 243*T1^7*T2^9 - 18*T1^8*T2^9 - 
      18*T1^9*T2^9 + 243*T1^10*T2^9 + 46*T1^11*T2^9 + 215*T1^12*T2^9 + 
      26*T1^13*T2^9 - 45*T1^14*T2^9 - 54*T1^15*T2^9 - 27*T1^16*T2^9 + 
      45*T1^2*T2^10 + 54*T1^3*T2^10 - 19*T1^4*T2^10 + 30*T1^5*T2^10 - 
      307*T1^6*T2^10 + 46*T1^7*T2^10 - 315*T1^8*T2^10 + 243*T1^9*T2^10 - 
      315*T1^10*T2^10 + 46*T1^11*T2^10 - 307*T1^12*T2^10 + 30*T1^13*T2^10 - 
      19*T1^14*T2^10 + 54*T1^15*T2^10 + 45*T1^16*T2^10 - 63*T1^3*T2^11 - 
      12*T1^4*T2^11 - 3*T1^5*T2^11 + 30*T1^6*T2^11 + 215*T1^7*T2^11 + 
      66*T1^8*T2^11 + 46*T1^9*T2^11 + 46*T1^10*T2^11 + 66*T1^11*T2^11 + 
      215*T1^12*T2^11 + 30*T1^13*T2^11 - 3*T1^14*T2^11 - 12*T1^15*T2^11 - 
      63*T1^16*T2^11 + 67*T1^4*T2^12 - 12*T1^5*T2^12 - 19*T1^6*T2^12 + 
      26*T1^7*T2^12 - 319*T1^8*T2^12 + 215*T1^9*T2^12 - 307*T1^10*T2^12 + 
      215*T1^11*T2^12 - 319*T1^12*T2^12 + 26*T1^13*T2^12 - 19*T1^14*T2^12 - 
      12*T1^15*T2^12 + 67*T1^16*T2^12 - 63*T1^5*T2^13 + 54*T1^6*T2^13 - 
      45*T1^7*T2^13 + 108*T1^8*T2^13 + 26*T1^9*T2^13 + 30*T1^10*T2^13 + 
      30*T1^11*T2^13 + 26*T1^12*T2^13 + 108*T1^13*T2^13 - 45*T1^14*T2^13 + 
      54*T1^15*T2^13 - 63*T1^16*T2^13 + 45*T1^6*T2^14 - 54*T1^7*T2^14 + 
      27*T1^8*T2^14 - 45*T1^9*T2^14 - 19*T1^10*T2^14 - 3*T1^11*T2^14 - 
      19*T1^12*T2^14 - 45*T1^13*T2^14 + 27*T1^14*T2^14 - 54*T1^15*T2^14 + 
      45*T1^16*T2^14 - 27*T1^7*T2^15 + 54*T1^8*T2^15 - 54*T1^9*T2^15 + 
      54*T1^10*T2^15 - 12*T1^11*T2^15 - 12*T1^12*T2^15 + 54*T1^13*T2^15 - 
      54*T1^14*T2^15 + 54*T1^15*T2^15 - 27*T1^16*T2^15 + 9*T1^8*T2^16 - 
      27*T1^9*T2^16 + 45*T1^10*T2^16 - 63*T1^11*T2^16 + 67*T1^12*T2^16 - 
      63*T1^13*T2^16 + 45*T1^14*T2^16 - 27*T1^15*T2^16 + 9*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 1146] -> 
  {-(((1 - T + T^2)*(4 - 10*T + 11*T^2 - 10*T^3 + 4*T^4))/T^3), 
   -((16 - 52*T1 + 92*T1^2 - 120*T1^3 + 92*T1^4 - 52*T1^5 + 16*T1^6 - 52*T2 + 
      118*T1*T2 - 132*T1^2*T2 + 92*T1^3*T2 + 92*T1^4*T2 - 132*T1^5*T2 + 
      118*T1^6*T2 - 52*T1^7*T2 + 92*T2^2 - 132*T1*T2^2 + 101*T1^2*T2^2 - 
      151*T1^3*T2^2 - T1^4*T2^2 - 151*T1^5*T2^2 + 101*T1^6*T2^2 - 
      132*T1^7*T2^2 + 92*T1^8*T2^2 - 120*T2^3 + 92*T1*T2^3 - 151*T1^2*T2^3 + 
      462*T1^3*T2^3 - 44*T1^4*T2^3 - 44*T1^5*T2^3 + 462*T1^6*T2^3 - 
      151*T1^7*T2^3 + 92*T1^8*T2^3 - 120*T1^9*T2^3 + 92*T2^4 + 92*T1*T2^4 - 
      T1^2*T2^4 - 44*T1^3*T2^4 - 1318*T1^4*T2^4 + 1382*T1^5*T2^4 - 
      1318*T1^6*T2^4 - 44*T1^7*T2^4 - T1^8*T2^4 + 92*T1^9*T2^4 + 
      92*T1^10*T2^4 - 52*T2^5 - 132*T1*T2^5 - 151*T1^2*T2^5 - 44*T1^3*T2^5 + 
      1382*T1^4*T2^5 - 254*T1^5*T2^5 - 254*T1^6*T2^5 + 1382*T1^7*T2^5 - 
      44*T1^8*T2^5 - 151*T1^9*T2^5 - 132*T1^10*T2^5 - 52*T1^11*T2^5 + 
      16*T2^6 + 118*T1*T2^6 + 101*T1^2*T2^6 + 462*T1^3*T2^6 - 
      1318*T1^4*T2^6 - 254*T1^5*T2^6 + 24*T1^6*T2^6 - 254*T1^7*T2^6 - 
      1318*T1^8*T2^6 + 462*T1^9*T2^6 + 101*T1^10*T2^6 + 118*T1^11*T2^6 + 
      16*T1^12*T2^6 - 52*T1*T2^7 - 132*T1^2*T2^7 - 151*T1^3*T2^7 - 
      44*T1^4*T2^7 + 1382*T1^5*T2^7 - 254*T1^6*T2^7 - 254*T1^7*T2^7 + 
      1382*T1^8*T2^7 - 44*T1^9*T2^7 - 151*T1^10*T2^7 - 132*T1^11*T2^7 - 
      52*T1^12*T2^7 + 92*T1^2*T2^8 + 92*T1^3*T2^8 - T1^4*T2^8 - 
      44*T1^5*T2^8 - 1318*T1^6*T2^8 + 1382*T1^7*T2^8 - 1318*T1^8*T2^8 - 
      44*T1^9*T2^8 - T1^10*T2^8 + 92*T1^11*T2^8 + 92*T1^12*T2^8 - 
      120*T1^3*T2^9 + 92*T1^4*T2^9 - 151*T1^5*T2^9 + 462*T1^6*T2^9 - 
      44*T1^7*T2^9 - 44*T1^8*T2^9 + 462*T1^9*T2^9 - 151*T1^10*T2^9 + 
      92*T1^11*T2^9 - 120*T1^12*T2^9 + 92*T1^4*T2^10 - 132*T1^5*T2^10 + 
      101*T1^6*T2^10 - 151*T1^7*T2^10 - T1^8*T2^10 - 151*T1^9*T2^10 + 
      101*T1^10*T2^10 - 132*T1^11*T2^10 + 92*T1^12*T2^10 - 52*T1^5*T2^11 + 
      118*T1^6*T2^11 - 132*T1^7*T2^11 + 92*T1^8*T2^11 + 92*T1^9*T2^11 - 
      132*T1^10*T2^11 + 118*T1^11*T2^11 - 52*T1^12*T2^11 + 16*T1^6*T2^12 - 
      52*T1^7*T2^12 + 92*T1^8*T2^12 - 120*T1^9*T2^12 + 92*T1^10*T2^12 - 
      52*T1^11*T2^12 + 16*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), 
   -((9 - 31*T1 + 66*T1^2 - 106*T1^3 + 119*T1^4 - 106*T1^5 + 66*T1^6 - 
      31*T1^7 + 9*T1^8 - 31*T2 + 76*T1*T2 - 121*T1^2*T2 + 138*T1^3*T2 - 
      45*T1^4*T2 - 45*T1^5*T2 + 138*T1^6*T2 - 121*T1^7*T2 + 76*T1^8*T2 - 
      31*T1^9*T2 + 66*T2^2 - 121*T1*T2^2 + 174*T1^2*T2^2 - 199*T1^3*T2^2 + 
      64*T1^4*T2^2 - 94*T1^5*T2^2 + 64*T1^6*T2^2 - 199*T1^7*T2^2 + 
      174*T1^8*T2^2 - 121*T1^9*T2^2 + 66*T1^10*T2^2 - 106*T2^3 + 
      138*T1*T2^3 - 199*T1^2*T2^3 + 226*T1^3*T2^3 + 3*T1^4*T2^3 + 
      109*T1^5*T2^3 + 109*T1^6*T2^3 + 3*T1^7*T2^3 + 226*T1^8*T2^3 - 
      199*T1^9*T2^3 + 138*T1^10*T2^3 - 106*T1^11*T2^3 + 119*T2^4 - 
      45*T1*T2^4 + 64*T1^2*T2^4 + 3*T1^3*T2^4 - 362*T1^4*T2^4 + 
      85*T1^5*T2^4 - 458*T1^6*T2^4 + 85*T1^7*T2^4 - 362*T1^8*T2^4 + 
      3*T1^9*T2^4 + 64*T1^10*T2^4 - 45*T1^11*T2^4 + 119*T1^12*T2^4 - 
      106*T2^5 - 45*T1*T2^5 - 94*T1^2*T2^5 + 109*T1^3*T2^5 + 85*T1^4*T2^5 + 
      464*T1^5*T2^5 + 226*T1^6*T2^5 + 226*T1^7*T2^5 + 464*T1^8*T2^5 + 
      85*T1^9*T2^5 + 109*T1^10*T2^5 - 94*T1^11*T2^5 - 45*T1^12*T2^5 - 
      106*T1^13*T2^5 + 66*T2^6 + 138*T1*T2^6 + 64*T1^2*T2^6 + 109*T1^3*T2^6 - 
      458*T1^4*T2^6 + 226*T1^5*T2^6 - 1493*T1^6*T2^6 + 813*T1^7*T2^6 - 
      1493*T1^8*T2^6 + 226*T1^9*T2^6 - 458*T1^10*T2^6 + 109*T1^11*T2^6 + 
      64*T1^12*T2^6 + 138*T1^13*T2^6 + 66*T1^14*T2^6 - 31*T2^7 - 
      121*T1*T2^7 - 199*T1^2*T2^7 + 3*T1^3*T2^7 + 85*T1^4*T2^7 + 
      226*T1^5*T2^7 + 813*T1^6*T2^7 + 406*T1^7*T2^7 + 406*T1^8*T2^7 + 
      813*T1^9*T2^7 + 226*T1^10*T2^7 + 85*T1^11*T2^7 + 3*T1^12*T2^7 - 
      199*T1^13*T2^7 - 121*T1^14*T2^7 - 31*T1^15*T2^7 + 9*T2^8 + 76*T1*T2^8 + 
      174*T1^2*T2^8 + 226*T1^3*T2^8 - 362*T1^4*T2^8 + 464*T1^5*T2^8 - 
      1493*T1^6*T2^8 + 406*T1^7*T2^8 - 1548*T1^8*T2^8 + 406*T1^9*T2^8 - 
      1493*T1^10*T2^8 + 464*T1^11*T2^8 - 362*T1^12*T2^8 + 226*T1^13*T2^8 + 
      174*T1^14*T2^8 + 76*T1^15*T2^8 + 9*T1^16*T2^8 - 31*T1*T2^9 - 
      121*T1^2*T2^9 - 199*T1^3*T2^9 + 3*T1^4*T2^9 + 85*T1^5*T2^9 + 
      226*T1^6*T2^9 + 813*T1^7*T2^9 + 406*T1^8*T2^9 + 406*T1^9*T2^9 + 
      813*T1^10*T2^9 + 226*T1^11*T2^9 + 85*T1^12*T2^9 + 3*T1^13*T2^9 - 
      199*T1^14*T2^9 - 121*T1^15*T2^9 - 31*T1^16*T2^9 + 66*T1^2*T2^10 + 
      138*T1^3*T2^10 + 64*T1^4*T2^10 + 109*T1^5*T2^10 - 458*T1^6*T2^10 + 
      226*T1^7*T2^10 - 1493*T1^8*T2^10 + 813*T1^9*T2^10 - 1493*T1^10*T2^10 + 
      226*T1^11*T2^10 - 458*T1^12*T2^10 + 109*T1^13*T2^10 + 64*T1^14*T2^10 + 
      138*T1^15*T2^10 + 66*T1^16*T2^10 - 106*T1^3*T2^11 - 45*T1^4*T2^11 - 
      94*T1^5*T2^11 + 109*T1^6*T2^11 + 85*T1^7*T2^11 + 464*T1^8*T2^11 + 
      226*T1^9*T2^11 + 226*T1^10*T2^11 + 464*T1^11*T2^11 + 85*T1^12*T2^11 + 
      109*T1^13*T2^11 - 94*T1^14*T2^11 - 45*T1^15*T2^11 - 106*T1^16*T2^11 + 
      119*T1^4*T2^12 - 45*T1^5*T2^12 + 64*T1^6*T2^12 + 3*T1^7*T2^12 - 
      362*T1^8*T2^12 + 85*T1^9*T2^12 - 458*T1^10*T2^12 + 85*T1^11*T2^12 - 
      362*T1^12*T2^12 + 3*T1^13*T2^12 + 64*T1^14*T2^12 - 45*T1^15*T2^12 + 
      119*T1^16*T2^12 - 106*T1^5*T2^13 + 138*T1^6*T2^13 - 199*T1^7*T2^13 + 
      226*T1^8*T2^13 + 3*T1^9*T2^13 + 109*T1^10*T2^13 + 109*T1^11*T2^13 + 
      3*T1^12*T2^13 + 226*T1^13*T2^13 - 199*T1^14*T2^13 + 138*T1^15*T2^13 - 
      106*T1^16*T2^13 + 66*T1^6*T2^14 - 121*T1^7*T2^14 + 174*T1^8*T2^14 - 
      199*T1^9*T2^14 + 64*T1^10*T2^14 - 94*T1^11*T2^14 + 64*T1^12*T2^14 - 
      199*T1^13*T2^14 + 174*T1^14*T2^14 - 121*T1^15*T2^14 + 66*T1^16*T2^14 - 
      31*T1^7*T2^15 + 76*T1^8*T2^15 - 121*T1^9*T2^15 + 138*T1^10*T2^15 - 
      45*T1^11*T2^15 - 45*T1^12*T2^15 + 138*T1^13*T2^15 - 121*T1^14*T2^15 + 
      76*T1^15*T2^15 - 31*T1^16*T2^15 + 9*T1^8*T2^16 - 31*T1^9*T2^16 + 
      66*T1^10*T2^16 - 106*T1^11*T2^16 + 119*T1^12*T2^16 - 106*T1^13*T2^16 + 
      66*T1^14*T2^16 - 31*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 1148] -> 
  {-((3 - 9*T + 15*T^2 - 19*T^3 + 15*T^4 - 9*T^5 + 3*T^6)/T^3), 
   -((9 - 27*T1 + 45*T1^2 - 59*T1^3 + 45*T1^4 - 27*T1^5 + 9*T1^6 - 27*T2 + 
      54*T1*T2 - 54*T1^2*T2 + 42*T1^3*T2 + 42*T1^4*T2 - 54*T1^5*T2 + 
      54*T1^6*T2 - 27*T1^7*T2 + 45*T2^2 - 54*T1*T2^2 + 27*T1^2*T2^2 - 
      43*T1^3*T2^2 - 45*T1^4*T2^2 - 43*T1^5*T2^2 + 27*T1^6*T2^2 - 
      54*T1^7*T2^2 + 45*T1^8*T2^2 - 59*T2^3 + 42*T1*T2^3 - 43*T1^2*T2^3 + 
      136*T1^3*T2^3 + 38*T1^4*T2^3 + 38*T1^5*T2^3 + 136*T1^6*T2^3 - 
      43*T1^7*T2^3 + 42*T1^8*T2^3 - 59*T1^9*T2^3 + 45*T2^4 + 42*T1*T2^4 - 
      45*T1^2*T2^4 + 38*T1^3*T2^4 - 429*T1^4*T2^4 + 271*T1^5*T2^4 - 
      429*T1^6*T2^4 + 38*T1^7*T2^4 - 45*T1^8*T2^4 + 42*T1^9*T2^4 + 
      45*T1^10*T2^4 - 27*T2^5 - 54*T1*T2^5 - 43*T1^2*T2^5 + 38*T1^3*T2^5 + 
      271*T1^4*T2^5 + 124*T1^5*T2^5 + 124*T1^6*T2^5 + 271*T1^7*T2^5 + 
      38*T1^8*T2^5 - 43*T1^9*T2^5 - 54*T1^10*T2^5 - 27*T1^11*T2^5 + 9*T2^6 + 
      54*T1*T2^6 + 27*T1^2*T2^6 + 136*T1^3*T2^6 - 429*T1^4*T2^6 + 
      124*T1^5*T2^6 - 540*T1^6*T2^6 + 124*T1^7*T2^6 - 429*T1^8*T2^6 + 
      136*T1^9*T2^6 + 27*T1^10*T2^6 + 54*T1^11*T2^6 + 9*T1^12*T2^6 - 
      27*T1*T2^7 - 54*T1^2*T2^7 - 43*T1^3*T2^7 + 38*T1^4*T2^7 + 
      271*T1^5*T2^7 + 124*T1^6*T2^7 + 124*T1^7*T2^7 + 271*T1^8*T2^7 + 
      38*T1^9*T2^7 - 43*T1^10*T2^7 - 54*T1^11*T2^7 - 27*T1^12*T2^7 + 
      45*T1^2*T2^8 + 42*T1^3*T2^8 - 45*T1^4*T2^8 + 38*T1^5*T2^8 - 
      429*T1^6*T2^8 + 271*T1^7*T2^8 - 429*T1^8*T2^8 + 38*T1^9*T2^8 - 
      45*T1^10*T2^8 + 42*T1^11*T2^8 + 45*T1^12*T2^8 - 59*T1^3*T2^9 + 
      42*T1^4*T2^9 - 43*T1^5*T2^9 + 136*T1^6*T2^9 + 38*T1^7*T2^9 + 
      38*T1^8*T2^9 + 136*T1^9*T2^9 - 43*T1^10*T2^9 + 42*T1^11*T2^9 - 
      59*T1^12*T2^9 + 45*T1^4*T2^10 - 54*T1^5*T2^10 + 27*T1^6*T2^10 - 
      43*T1^7*T2^10 - 45*T1^8*T2^10 - 43*T1^9*T2^10 + 27*T1^10*T2^10 - 
      54*T1^11*T2^10 + 45*T1^12*T2^10 - 27*T1^5*T2^11 + 54*T1^6*T2^11 - 
      54*T1^7*T2^11 + 42*T1^8*T2^11 + 42*T1^9*T2^11 - 54*T1^10*T2^11 + 
      54*T1^11*T2^11 - 27*T1^12*T2^11 + 9*T1^6*T2^12 - 27*T1^7*T2^12 + 
      45*T1^8*T2^12 - 59*T1^9*T2^12 + 45*T1^10*T2^12 - 27*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 1149] -> 
  {-((4 - 9*T + 9*T^2 - 9*T^3 + 4*T^4)/T^2), 
   (28 - 58*T1 + 58*T1^2 - 58*T1^3 + 28*T1^4 - 58*T2 + 60*T1*T2 + 
     60*T1^4*T2 - 58*T1^5*T2 + 58*T2^2 - 121*T1^2*T2^2 + 141*T1^3*T2^2 - 
     121*T1^4*T2^2 + 58*T1^6*T2^2 - 58*T2^3 + 141*T1^2*T2^3 - 120*T1^3*T2^3 - 
     120*T1^4*T2^3 + 141*T1^5*T2^3 - 58*T1^7*T2^3 + 28*T2^4 + 60*T1*T2^4 - 
     121*T1^2*T2^4 - 120*T1^3*T2^4 + 420*T1^4*T2^4 - 120*T1^5*T2^4 - 
     121*T1^6*T2^4 + 60*T1^7*T2^4 + 28*T1^8*T2^4 - 58*T1*T2^5 + 
     141*T1^3*T2^5 - 120*T1^4*T2^5 - 120*T1^5*T2^5 + 141*T1^6*T2^5 - 
     58*T1^8*T2^5 + 58*T1^2*T2^6 - 121*T1^4*T2^6 + 141*T1^5*T2^6 - 
     121*T1^6*T2^6 + 58*T1^8*T2^6 - 58*T1^3*T2^7 + 60*T1^4*T2^7 + 
     60*T1^7*T2^7 - 58*T1^8*T2^7 + 28*T1^4*T2^8 - 58*T1^5*T2^8 + 
     58*T1^6*T2^8 - 58*T1^7*T2^8 + 28*T1^8*T2^8)/(T1^4*T2^4)}, 
 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, 
   -((T1 - 2*T1^2 + T1^3 + T1^4 - 2*T1^5 + T1^6 + T2 - 5*T1*T2 + 22*T1^3*T2 - 
      39*T1^4*T2 + 22*T1^5*T2 - 5*T1^7*T2 + T1^8*T2 - 2*T2^2 + 36*T1^2*T2^2 - 
      97*T1^3*T2^2 + 75*T1^4*T2^2 + 75*T1^5*T2^2 - 97*T1^6*T2^2 + 
      36*T1^7*T2^2 - 2*T1^9*T2^2 + T2^3 + 22*T1*T2^3 - 97*T1^2*T2^3 + 
      110*T1^3*T2^3 + 177*T1^4*T2^3 - 508*T1^5*T2^3 + 177*T1^6*T2^3 + 
      110*T1^7*T2^3 - 97*T1^8*T2^3 + 22*T1^9*T2^3 + T1^10*T2^3 + T2^4 - 
      39*T1*T2^4 + 75*T1^2*T2^4 + 177*T1^3*T2^4 - 750*T1^4*T2^4 + 
      616*T1^5*T2^4 + 616*T1^6*T2^4 - 750*T1^7*T2^4 + 177*T1^8*T2^4 + 
      75*T1^9*T2^4 - 39*T1^10*T2^4 + T1^11*T2^4 - 2*T2^5 + 22*T1*T2^5 + 
      75*T1^2*T2^5 - 508*T1^3*T2^5 + 616*T1^4*T2^5 + 736*T1^5*T2^5 - 
      2086*T1^6*T2^5 + 736*T1^7*T2^5 + 616*T1^8*T2^5 - 508*T1^9*T2^5 + 
      75*T1^10*T2^5 + 22*T1^11*T2^5 - 2*T1^12*T2^5 + T2^6 - 97*T1^2*T2^6 + 
      177*T1^3*T2^6 + 616*T1^4*T2^6 - 2086*T1^5*T2^6 + 1494*T1^6*T2^6 + 
      1494*T1^7*T2^6 - 2086*T1^8*T2^6 + 616*T1^9*T2^6 + 177*T1^10*T2^6 - 
      97*T1^11*T2^6 + T1^13*T2^6 - 5*T1*T2^7 + 36*T1^2*T2^7 + 110*T1^3*T2^7 - 
      750*T1^4*T2^7 + 736*T1^5*T2^7 + 1494*T1^6*T2^7 - 3444*T1^7*T2^7 + 
      1494*T1^8*T2^7 + 736*T1^9*T2^7 - 750*T1^10*T2^7 + 110*T1^11*T2^7 + 
      36*T1^12*T2^7 - 5*T1^13*T2^7 + T1*T2^8 - 97*T1^3*T2^8 + 177*T1^4*T2^8 + 
      616*T1^5*T2^8 - 2086*T1^6*T2^8 + 1494*T1^7*T2^8 + 1494*T1^8*T2^8 - 
      2086*T1^9*T2^8 + 616*T1^10*T2^8 + 177*T1^11*T2^8 - 97*T1^12*T2^8 + 
      T1^14*T2^8 - 2*T1^2*T2^9 + 22*T1^3*T2^9 + 75*T1^4*T2^9 - 
      508*T1^5*T2^9 + 616*T1^6*T2^9 + 736*T1^7*T2^9 - 2086*T1^8*T2^9 + 
      736*T1^9*T2^9 + 616*T1^10*T2^9 - 508*T1^11*T2^9 + 75*T1^12*T2^9 + 
      22*T1^13*T2^9 - 2*T1^14*T2^9 + T1^3*T2^10 - 39*T1^4*T2^10 + 
      75*T1^5*T2^10 + 177*T1^6*T2^10 - 750*T1^7*T2^10 + 616*T1^8*T2^10 + 
      616*T1^9*T2^10 - 750*T1^10*T2^10 + 177*T1^11*T2^10 + 75*T1^12*T2^10 - 
      39*T1^13*T2^10 + T1^14*T2^10 + T1^4*T2^11 + 22*T1^5*T2^11 - 
      97*T1^6*T2^11 + 110*T1^7*T2^11 + 177*T1^8*T2^11 - 508*T1^9*T2^11 + 
      177*T1^10*T2^11 + 110*T1^11*T2^11 - 97*T1^12*T2^11 + 22*T1^13*T2^11 + 
      T1^14*T2^11 - 2*T1^5*T2^12 + 36*T1^7*T2^12 - 97*T1^8*T2^12 + 
      75*T1^9*T2^12 + 75*T1^10*T2^12 - 97*T1^11*T2^12 + 36*T1^12*T2^12 - 
      2*T1^14*T2^12 + T1^6*T2^13 - 5*T1^7*T2^13 + 22*T1^9*T2^13 - 
      39*T1^10*T2^13 + 22*T1^11*T2^13 - 5*T1^13*T2^13 + T1^14*T2^13 + 
      T1^8*T2^14 - 2*T1^9*T2^14 + T1^10*T2^14 + T1^11*T2^14 - 2*T1^12*T2^14 + 
      T1^13*T2^14)/(T1^7*T2^7))}, Knot[12, Alternating, 1151] -> 
  {(2 - 14*T + 32*T^2 - 39*T^3 + 32*T^4 - 14*T^5 + 2*T^6)/T^3, 
   -((7 - 48*T1 + 108*T1^2 - 131*T1^3 + 108*T1^4 - 48*T1^5 + 7*T1^6 - 48*T2 + 
      280*T1*T2 - 405*T1^2*T2 + 153*T1^3*T2 + 153*T1^4*T2 - 405*T1^5*T2 + 
      280*T1^6*T2 - 48*T1^7*T2 + 108*T2^2 - 405*T1*T2^2 - 457*T1^2*T2^2 + 
      2171*T1^3*T2^2 - 2629*T1^4*T2^2 + 2171*T1^5*T2^2 - 457*T1^6*T2^2 - 
      405*T1^7*T2^2 + 108*T1^8*T2^2 - 131*T2^3 + 153*T1*T2^3 + 
      2171*T1^2*T2^3 - 3776*T1^3*T2^3 + 1311*T1^4*T2^3 + 1311*T1^5*T2^3 - 
      3776*T1^6*T2^3 + 2171*T1^7*T2^3 + 153*T1^8*T2^3 - 131*T1^9*T2^3 + 
      108*T2^4 + 153*T1*T2^4 - 2629*T1^2*T2^4 + 1311*T1^3*T2^4 + 
      4684*T1^4*T2^4 - 6392*T1^5*T2^4 + 4684*T1^6*T2^4 + 1311*T1^7*T2^4 - 
      2629*T1^8*T2^4 + 153*T1^9*T2^4 + 108*T1^10*T2^4 - 48*T2^5 - 
      405*T1*T2^5 + 2171*T1^2*T2^5 + 1311*T1^3*T2^5 - 6392*T1^4*T2^5 + 
      2890*T1^5*T2^5 + 2890*T1^6*T2^5 - 6392*T1^7*T2^5 + 1311*T1^8*T2^5 + 
      2171*T1^9*T2^5 - 405*T1^10*T2^5 - 48*T1^11*T2^5 + 7*T2^6 + 
      280*T1*T2^6 - 457*T1^2*T2^6 - 3776*T1^3*T2^6 + 4684*T1^4*T2^6 + 
      2890*T1^5*T2^6 - 6336*T1^6*T2^6 + 2890*T1^7*T2^6 + 4684*T1^8*T2^6 - 
      3776*T1^9*T2^6 - 457*T1^10*T2^6 + 280*T1^11*T2^6 + 7*T1^12*T2^6 - 
      48*T1*T2^7 - 405*T1^2*T2^7 + 2171*T1^3*T2^7 + 1311*T1^4*T2^7 - 
      6392*T1^5*T2^7 + 2890*T1^6*T2^7 + 2890*T1^7*T2^7 - 6392*T1^8*T2^7 + 
      1311*T1^9*T2^7 + 2171*T1^10*T2^7 - 405*T1^11*T2^7 - 48*T1^12*T2^7 + 
      108*T1^2*T2^8 + 153*T1^3*T2^8 - 2629*T1^4*T2^8 + 1311*T1^5*T2^8 + 
      4684*T1^6*T2^8 - 6392*T1^7*T2^8 + 4684*T1^8*T2^8 + 1311*T1^9*T2^8 - 
      2629*T1^10*T2^8 + 153*T1^11*T2^8 + 108*T1^12*T2^8 - 131*T1^3*T2^9 + 
      153*T1^4*T2^9 + 2171*T1^5*T2^9 - 3776*T1^6*T2^9 + 1311*T1^7*T2^9 + 
      1311*T1^8*T2^9 - 3776*T1^9*T2^9 + 2171*T1^10*T2^9 + 153*T1^11*T2^9 - 
      131*T1^12*T2^9 + 108*T1^4*T2^10 - 405*T1^5*T2^10 - 457*T1^6*T2^10 + 
      2171*T1^7*T2^10 - 2629*T1^8*T2^10 + 2171*T1^9*T2^10 - 457*T1^10*T2^10 - 
      405*T1^11*T2^10 + 108*T1^12*T2^10 - 48*T1^5*T2^11 + 280*T1^6*T2^11 - 
      405*T1^7*T2^11 + 153*T1^8*T2^11 + 153*T1^9*T2^11 - 405*T1^10*T2^11 + 
      280*T1^11*T2^11 - 48*T1^12*T2^11 + 7*T1^6*T2^12 - 48*T1^7*T2^12 + 
      108*T1^8*T2^12 - 131*T1^9*T2^12 + 108*T1^10*T2^12 - 48*T1^11*T2^12 + 
      7*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, Alternating, 1152] -> 
  {((1 - 3*T + T^2)^2*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^4, 0}, 
 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, 
   (2 - 16*T1 + 40*T1^2 - 52*T1^3 + 54*T1^4 - 52*T1^5 + 40*T1^6 - 16*T1^7 + 
     2*T1^8 - 16*T2 + 112*T1*T2 - 191*T1^2*T2 + 95*T1^3*T2 - 16*T1^4*T2 - 
     16*T1^5*T2 + 95*T1^6*T2 - 191*T1^7*T2 + 112*T1^8*T2 - 16*T1^9*T2 + 
     40*T2^2 - 191*T1*T2^2 - 182*T1^2*T2^2 + 1171*T1^3*T2^2 - 
     1406*T1^4*T2^2 + 1338*T1^5*T2^2 - 1406*T1^6*T2^2 + 1171*T1^7*T2^2 - 
     182*T1^8*T2^2 - 191*T1^9*T2^2 + 40*T1^10*T2^2 - 52*T2^3 + 95*T1*T2^3 + 
     1171*T1^2*T2^3 - 2460*T1^3*T2^3 + 942*T1^4*T2^3 - 38*T1^5*T2^3 - 
     38*T1^6*T2^3 + 942*T1^7*T2^3 - 2460*T1^8*T2^3 + 1171*T1^9*T2^3 + 
     95*T1^10*T2^3 - 52*T1^11*T2^3 + 54*T2^4 - 16*T1*T2^4 - 1406*T1^2*T2^4 + 
     942*T1^3*T2^4 + 3199*T1^4*T2^4 - 3350*T1^5*T2^4 + 2627*T1^6*T2^4 - 
     3350*T1^7*T2^4 + 3199*T1^8*T2^4 + 942*T1^9*T2^4 - 1406*T1^10*T2^4 - 
     16*T1^11*T2^4 + 54*T1^12*T2^4 - 52*T2^5 - 16*T1*T2^5 + 1338*T1^2*T2^5 - 
     38*T1^3*T2^5 - 3350*T1^4*T2^5 + 558*T1^5*T2^5 + 405*T1^6*T2^5 + 
     405*T1^7*T2^5 + 558*T1^8*T2^5 - 3350*T1^9*T2^5 - 38*T1^10*T2^5 + 
     1338*T1^11*T2^5 - 16*T1^12*T2^5 - 52*T1^13*T2^5 + 40*T2^6 + 95*T1*T2^6 - 
     1406*T1^2*T2^6 - 38*T1^3*T2^6 + 2627*T1^4*T2^6 + 405*T1^5*T2^6 + 
     443*T1^6*T2^6 - 1393*T1^7*T2^6 + 443*T1^8*T2^6 + 405*T1^9*T2^6 + 
     2627*T1^10*T2^6 - 38*T1^11*T2^6 - 1406*T1^12*T2^6 + 95*T1^13*T2^6 + 
     40*T1^14*T2^6 - 16*T2^7 - 191*T1*T2^7 + 1171*T1^2*T2^7 + 942*T1^3*T2^7 - 
     3350*T1^4*T2^7 + 405*T1^5*T2^7 - 1393*T1^6*T2^7 + 794*T1^7*T2^7 + 
     794*T1^8*T2^7 - 1393*T1^9*T2^7 + 405*T1^10*T2^7 - 3350*T1^11*T2^7 + 
     942*T1^12*T2^7 + 1171*T1^13*T2^7 - 191*T1^14*T2^7 - 16*T1^15*T2^7 + 
     2*T2^8 + 112*T1*T2^8 - 182*T1^2*T2^8 - 2460*T1^3*T2^8 + 3199*T1^4*T2^8 + 
     558*T1^5*T2^8 + 443*T1^6*T2^8 + 794*T1^7*T2^8 - 1560*T1^8*T2^8 + 
     794*T1^9*T2^8 + 443*T1^10*T2^8 + 558*T1^11*T2^8 + 3199*T1^12*T2^8 - 
     2460*T1^13*T2^8 - 182*T1^14*T2^8 + 112*T1^15*T2^8 + 2*T1^16*T2^8 - 
     16*T1*T2^9 - 191*T1^2*T2^9 + 1171*T1^3*T2^9 + 942*T1^4*T2^9 - 
     3350*T1^5*T2^9 + 405*T1^6*T2^9 - 1393*T1^7*T2^9 + 794*T1^8*T2^9 + 
     794*T1^9*T2^9 - 1393*T1^10*T2^9 + 405*T1^11*T2^9 - 3350*T1^12*T2^9 + 
     942*T1^13*T2^9 + 1171*T1^14*T2^9 - 191*T1^15*T2^9 - 16*T1^16*T2^9 + 
     40*T1^2*T2^10 + 95*T1^3*T2^10 - 1406*T1^4*T2^10 - 38*T1^5*T2^10 + 
     2627*T1^6*T2^10 + 405*T1^7*T2^10 + 443*T1^8*T2^10 - 1393*T1^9*T2^10 + 
     443*T1^10*T2^10 + 405*T1^11*T2^10 + 2627*T1^12*T2^10 - 38*T1^13*T2^10 - 
     1406*T1^14*T2^10 + 95*T1^15*T2^10 + 40*T1^16*T2^10 - 52*T1^3*T2^11 - 
     16*T1^4*T2^11 + 1338*T1^5*T2^11 - 38*T1^6*T2^11 - 3350*T1^7*T2^11 + 
     558*T1^8*T2^11 + 405*T1^9*T2^11 + 405*T1^10*T2^11 + 558*T1^11*T2^11 - 
     3350*T1^12*T2^11 - 38*T1^13*T2^11 + 1338*T1^14*T2^11 - 16*T1^15*T2^11 - 
     52*T1^16*T2^11 + 54*T1^4*T2^12 - 16*T1^5*T2^12 - 1406*T1^6*T2^12 + 
     942*T1^7*T2^12 + 3199*T1^8*T2^12 - 3350*T1^9*T2^12 + 2627*T1^10*T2^12 - 
     3350*T1^11*T2^12 + 3199*T1^12*T2^12 + 942*T1^13*T2^12 - 
     1406*T1^14*T2^12 - 16*T1^15*T2^12 + 54*T1^16*T2^12 - 52*T1^5*T2^13 + 
     95*T1^6*T2^13 + 1171*T1^7*T2^13 - 2460*T1^8*T2^13 + 942*T1^9*T2^13 - 
     38*T1^10*T2^13 - 38*T1^11*T2^13 + 942*T1^12*T2^13 - 2460*T1^13*T2^13 + 
     1171*T1^14*T2^13 + 95*T1^15*T2^13 - 52*T1^16*T2^13 + 40*T1^6*T2^14 - 
     191*T1^7*T2^14 - 182*T1^8*T2^14 + 1171*T1^9*T2^14 - 1406*T1^10*T2^14 + 
     1338*T1^11*T2^14 - 1406*T1^12*T2^14 + 1171*T1^13*T2^14 - 
     182*T1^14*T2^14 - 191*T1^15*T2^14 + 40*T1^16*T2^14 - 16*T1^7*T2^15 + 
     112*T1^8*T2^15 - 191*T1^9*T2^15 + 95*T1^10*T2^15 - 16*T1^11*T2^15 - 
     16*T1^12*T2^15 + 95*T1^13*T2^15 - 191*T1^14*T2^15 + 112*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)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 1154] -> 
  {(2 - 17*T + 47*T^2 - 63*T^3 + 47*T^4 - 17*T^5 + 2*T^6)/T^3, 
   (9 - 76*T1 + 208*T1^2 - 277*T1^3 + 208*T1^4 - 76*T1^5 + 9*T1^6 - 76*T2 + 
     566*T1*T2 - 1108*T1^2*T2 + 576*T1^3*T2 + 576*T1^4*T2 - 1108*T1^5*T2 + 
     566*T1^6*T2 - 76*T1^7*T2 + 208*T2^2 - 1108*T1*T2^2 - 385*T1^2*T2^2 + 
     6394*T1^3*T2^2 - 9659*T1^4*T2^2 + 6394*T1^5*T2^2 - 385*T1^6*T2^2 - 
     1108*T1^7*T2^2 + 208*T1^8*T2^2 - 277*T2^3 + 576*T1*T2^3 + 
     6394*T1^2*T2^3 - 16396*T1^3*T2^3 + 8701*T1^4*T2^3 + 8701*T1^5*T2^3 - 
     16396*T1^6*T2^3 + 6394*T1^7*T2^3 + 576*T1^8*T2^3 - 277*T1^9*T2^3 + 
     208*T2^4 + 576*T1*T2^4 - 9659*T1^2*T2^4 + 8701*T1^3*T2^4 + 
     22103*T1^4*T2^4 - 39355*T1^5*T2^4 + 22103*T1^6*T2^4 + 8701*T1^7*T2^4 - 
     9659*T1^8*T2^4 + 576*T1^9*T2^4 + 208*T1^10*T2^4 - 76*T2^5 - 
     1108*T1*T2^5 + 6394*T1^2*T2^5 + 8701*T1^3*T2^5 - 39355*T1^4*T2^5 + 
     21938*T1^5*T2^5 + 21938*T1^6*T2^5 - 39355*T1^7*T2^5 + 8701*T1^8*T2^5 + 
     6394*T1^9*T2^5 - 1108*T1^10*T2^5 - 76*T1^11*T2^5 + 9*T2^6 + 
     566*T1*T2^6 - 385*T1^2*T2^6 - 16396*T1^3*T2^6 + 22103*T1^4*T2^6 + 
     21938*T1^5*T2^6 - 47604*T1^6*T2^6 + 21938*T1^7*T2^6 + 22103*T1^8*T2^6 - 
     16396*T1^9*T2^6 - 385*T1^10*T2^6 + 566*T1^11*T2^6 + 9*T1^12*T2^6 - 
     76*T1*T2^7 - 1108*T1^2*T2^7 + 6394*T1^3*T2^7 + 8701*T1^4*T2^7 - 
     39355*T1^5*T2^7 + 21938*T1^6*T2^7 + 21938*T1^7*T2^7 - 39355*T1^8*T2^7 + 
     8701*T1^9*T2^7 + 6394*T1^10*T2^7 - 1108*T1^11*T2^7 - 76*T1^12*T2^7 + 
     208*T1^2*T2^8 + 576*T1^3*T2^8 - 9659*T1^4*T2^8 + 8701*T1^5*T2^8 + 
     22103*T1^6*T2^8 - 39355*T1^7*T2^8 + 22103*T1^8*T2^8 + 8701*T1^9*T2^8 - 
     9659*T1^10*T2^8 + 576*T1^11*T2^8 + 208*T1^12*T2^8 - 277*T1^3*T2^9 + 
     576*T1^4*T2^9 + 6394*T1^5*T2^9 - 16396*T1^6*T2^9 + 8701*T1^7*T2^9 + 
     8701*T1^8*T2^9 - 16396*T1^9*T2^9 + 6394*T1^10*T2^9 + 576*T1^11*T2^9 - 
     277*T1^12*T2^9 + 208*T1^4*T2^10 - 1108*T1^5*T2^10 - 385*T1^6*T2^10 + 
     6394*T1^7*T2^10 - 9659*T1^8*T2^10 + 6394*T1^9*T2^10 - 385*T1^10*T2^10 - 
     1108*T1^11*T2^10 + 208*T1^12*T2^10 - 76*T1^5*T2^11 + 566*T1^6*T2^11 - 
     1108*T1^7*T2^11 + 576*T1^8*T2^11 + 576*T1^9*T2^11 - 1108*T1^10*T2^11 + 
     566*T1^11*T2^11 - 76*T1^12*T2^11 + 9*T1^6*T2^12 - 76*T1^7*T2^12 + 
     208*T1^8*T2^12 - 277*T1^9*T2^12 + 208*T1^10*T2^12 - 76*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 1155] -> 
  {-(((1 - T + T^2)*(5 - 23*T + 35*T^2 - 23*T^3 + 5*T^4))/T^3), 
   -((270 - 1485*T1 + 3285*T1^2 - 4202*T1^3 + 3285*T1^4 - 1485*T1^5 + 
      270*T1^6 - 1485*T2 + 6704*T1*T2 - 9979*T1^2*T2 + 5094*T1^3*T2 + 
      5094*T1^4*T2 - 9979*T1^5*T2 + 6704*T1^6*T2 - 1485*T1^7*T2 + 3285*T2^2 - 
      9979*T1*T2^2 - 1349*T1^2*T2^2 + 30168*T1^3*T2^2 - 47453*T1^4*T2^2 + 
      30168*T1^5*T2^2 - 1349*T1^6*T2^2 - 9979*T1^7*T2^2 + 3285*T1^8*T2^2 - 
      4202*T2^3 + 5094*T1*T2^3 + 30168*T1^2*T2^3 - 60940*T1^3*T2^3 + 
      34539*T1^4*T2^3 + 34539*T1^5*T2^3 - 60940*T1^6*T2^3 + 30168*T1^7*T2^3 + 
      5094*T1^8*T2^3 - 4202*T1^9*T2^3 + 3285*T2^4 + 5094*T1*T2^4 - 
      47453*T1^2*T2^4 + 34539*T1^3*T2^4 + 48004*T1^4*T2^4 - 
      105680*T1^5*T2^4 + 48004*T1^6*T2^4 + 34539*T1^7*T2^4 - 
      47453*T1^8*T2^4 + 5094*T1^9*T2^4 + 3285*T1^10*T2^4 - 1485*T2^5 - 
      9979*T1*T2^5 + 30168*T1^2*T2^5 + 34539*T1^3*T2^5 - 105680*T1^4*T2^5 + 
      66372*T1^5*T2^5 + 66372*T1^6*T2^5 - 105680*T1^7*T2^5 + 
      34539*T1^8*T2^5 + 30168*T1^9*T2^5 - 9979*T1^10*T2^5 - 1485*T1^11*T2^5 + 
      270*T2^6 + 6704*T1*T2^6 - 1349*T1^2*T2^6 - 60940*T1^3*T2^6 + 
      48004*T1^4*T2^6 + 66372*T1^5*T2^6 - 149820*T1^6*T2^6 + 
      66372*T1^7*T2^6 + 48004*T1^8*T2^6 - 60940*T1^9*T2^6 - 1349*T1^10*T2^6 + 
      6704*T1^11*T2^6 + 270*T1^12*T2^6 - 1485*T1*T2^7 - 9979*T1^2*T2^7 + 
      30168*T1^3*T2^7 + 34539*T1^4*T2^7 - 105680*T1^5*T2^7 + 
      66372*T1^6*T2^7 + 66372*T1^7*T2^7 - 105680*T1^8*T2^7 + 
      34539*T1^9*T2^7 + 30168*T1^10*T2^7 - 9979*T1^11*T2^7 - 
      1485*T1^12*T2^7 + 3285*T1^2*T2^8 + 5094*T1^3*T2^8 - 47453*T1^4*T2^8 + 
      34539*T1^5*T2^8 + 48004*T1^6*T2^8 - 105680*T1^7*T2^8 + 
      48004*T1^8*T2^8 + 34539*T1^9*T2^8 - 47453*T1^10*T2^8 + 
      5094*T1^11*T2^8 + 3285*T1^12*T2^8 - 4202*T1^3*T2^9 + 5094*T1^4*T2^9 + 
      30168*T1^5*T2^9 - 60940*T1^6*T2^9 + 34539*T1^7*T2^9 + 34539*T1^8*T2^9 - 
      60940*T1^9*T2^9 + 30168*T1^10*T2^9 + 5094*T1^11*T2^9 - 
      4202*T1^12*T2^9 + 3285*T1^4*T2^10 - 9979*T1^5*T2^10 - 1349*T1^6*T2^10 + 
      30168*T1^7*T2^10 - 47453*T1^8*T2^10 + 30168*T1^9*T2^10 - 
      1349*T1^10*T2^10 - 9979*T1^11*T2^10 + 3285*T1^12*T2^10 - 
      1485*T1^5*T2^11 + 6704*T1^6*T2^11 - 9979*T1^7*T2^11 + 5094*T1^8*T2^11 + 
      5094*T1^9*T2^11 - 9979*T1^10*T2^11 + 6704*T1^11*T2^11 - 
      1485*T1^12*T2^11 + 270*T1^6*T2^12 - 1485*T1^7*T2^12 + 3285*T1^8*T2^12 - 
      4202*T1^9*T2^12 + 3285*T1^10*T2^12 - 1485*T1^11*T2^12 + 
      270*T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   (2 - 16*T1 + 50*T1^2 - 86*T1^3 + 102*T1^4 - 86*T1^5 + 50*T1^6 - 16*T1^7 + 
     2*T1^8 - 16*T2 + 112*T1*T2 - 271*T1^2*T2 + 285*T1^3*T2 - 126*T1^4*T2 - 
     126*T1^5*T2 + 285*T1^6*T2 - 271*T1^7*T2 + 112*T1^8*T2 - 16*T1^9*T2 + 
     50*T2^2 - 271*T1*T2^2 + 281*T1^2*T2^2 + 602*T1^3*T2^2 - 1589*T1^4*T2^2 + 
     2071*T1^5*T2^2 - 1589*T1^6*T2^2 + 602*T1^7*T2^2 + 281*T1^8*T2^2 - 
     271*T1^9*T2^2 + 50*T1^10*T2^2 - 86*T2^3 + 285*T1*T2^3 + 602*T1^2*T2^3 - 
     2974*T1^3*T2^3 + 3256*T1^4*T2^3 - 1511*T1^5*T2^3 - 1511*T1^6*T2^3 + 
     3256*T1^7*T2^3 - 2974*T1^8*T2^3 + 602*T1^9*T2^3 + 285*T1^10*T2^3 - 
     86*T1^11*T2^3 + 102*T2^4 - 126*T1*T2^4 - 1589*T1^2*T2^4 + 
     3256*T1^3*T2^4 + 1235*T1^4*T2^4 - 6227*T1^5*T2^4 + 8967*T1^6*T2^4 - 
     6227*T1^7*T2^4 + 1235*T1^8*T2^4 + 3256*T1^9*T2^4 - 1589*T1^10*T2^4 - 
     126*T1^11*T2^4 + 102*T1^12*T2^4 - 86*T2^5 - 126*T1*T2^5 + 
     2071*T1^2*T2^5 - 1511*T1^3*T2^5 - 6227*T1^4*T2^5 + 7682*T1^5*T2^5 - 
     4018*T1^6*T2^5 - 4018*T1^7*T2^5 + 7682*T1^8*T2^5 - 6227*T1^9*T2^5 - 
     1511*T1^10*T2^5 + 2071*T1^11*T2^5 - 126*T1^12*T2^5 - 86*T1^13*T2^5 + 
     50*T2^6 + 285*T1*T2^6 - 1589*T1^2*T2^6 - 1511*T1^3*T2^6 + 
     8967*T1^4*T2^6 - 4018*T1^5*T2^6 - 2211*T1^6*T2^6 + 6859*T1^7*T2^6 - 
     2211*T1^8*T2^6 - 4018*T1^9*T2^6 + 8967*T1^10*T2^6 - 1511*T1^11*T2^6 - 
     1589*T1^12*T2^6 + 285*T1^13*T2^6 + 50*T1^14*T2^6 - 16*T2^7 - 
     271*T1*T2^7 + 602*T1^2*T2^7 + 3256*T1^3*T2^7 - 6227*T1^4*T2^7 - 
     4018*T1^5*T2^7 + 6859*T1^6*T2^7 - 4496*T1^7*T2^7 - 4496*T1^8*T2^7 + 
     6859*T1^9*T2^7 - 4018*T1^10*T2^7 - 6227*T1^11*T2^7 + 3256*T1^12*T2^7 + 
     602*T1^13*T2^7 - 271*T1^14*T2^7 - 16*T1^15*T2^7 + 2*T2^8 + 112*T1*T2^8 + 
     281*T1^2*T2^8 - 2974*T1^3*T2^8 + 1235*T1^4*T2^8 + 7682*T1^5*T2^8 - 
     2211*T1^6*T2^8 - 4496*T1^7*T2^8 + 10032*T1^8*T2^8 - 4496*T1^9*T2^8 - 
     2211*T1^10*T2^8 + 7682*T1^11*T2^8 + 1235*T1^12*T2^8 - 2974*T1^13*T2^8 + 
     281*T1^14*T2^8 + 112*T1^15*T2^8 + 2*T1^16*T2^8 - 16*T1*T2^9 - 
     271*T1^2*T2^9 + 602*T1^3*T2^9 + 3256*T1^4*T2^9 - 6227*T1^5*T2^9 - 
     4018*T1^6*T2^9 + 6859*T1^7*T2^9 - 4496*T1^8*T2^9 - 4496*T1^9*T2^9 + 
     6859*T1^10*T2^9 - 4018*T1^11*T2^9 - 6227*T1^12*T2^9 + 3256*T1^13*T2^9 + 
     602*T1^14*T2^9 - 271*T1^15*T2^9 - 16*T1^16*T2^9 + 50*T1^2*T2^10 + 
     285*T1^3*T2^10 - 1589*T1^4*T2^10 - 1511*T1^5*T2^10 + 8967*T1^6*T2^10 - 
     4018*T1^7*T2^10 - 2211*T1^8*T2^10 + 6859*T1^9*T2^10 - 2211*T1^10*T2^10 - 
     4018*T1^11*T2^10 + 8967*T1^12*T2^10 - 1511*T1^13*T2^10 - 
     1589*T1^14*T2^10 + 285*T1^15*T2^10 + 50*T1^16*T2^10 - 86*T1^3*T2^11 - 
     126*T1^4*T2^11 + 2071*T1^5*T2^11 - 1511*T1^6*T2^11 - 6227*T1^7*T2^11 + 
     7682*T1^8*T2^11 - 4018*T1^9*T2^11 - 4018*T1^10*T2^11 + 
     7682*T1^11*T2^11 - 6227*T1^12*T2^11 - 1511*T1^13*T2^11 + 
     2071*T1^14*T2^11 - 126*T1^15*T2^11 - 86*T1^16*T2^11 + 102*T1^4*T2^12 - 
     126*T1^5*T2^12 - 1589*T1^6*T2^12 + 3256*T1^7*T2^12 + 1235*T1^8*T2^12 - 
     6227*T1^9*T2^12 + 8967*T1^10*T2^12 - 6227*T1^11*T2^12 + 
     1235*T1^12*T2^12 + 3256*T1^13*T2^12 - 1589*T1^14*T2^12 - 
     126*T1^15*T2^12 + 102*T1^16*T2^12 - 86*T1^5*T2^13 + 285*T1^6*T2^13 + 
     602*T1^7*T2^13 - 2974*T1^8*T2^13 + 3256*T1^9*T2^13 - 1511*T1^10*T2^13 - 
     1511*T1^11*T2^13 + 3256*T1^12*T2^13 - 2974*T1^13*T2^13 + 
     602*T1^14*T2^13 + 285*T1^15*T2^13 - 86*T1^16*T2^13 + 50*T1^6*T2^14 - 
     271*T1^7*T2^14 + 281*T1^8*T2^14 + 602*T1^9*T2^14 - 1589*T1^10*T2^14 + 
     2071*T1^11*T2^14 - 1589*T1^12*T2^14 + 602*T1^13*T2^14 + 
     281*T1^14*T2^14 - 271*T1^15*T2^14 + 50*T1^16*T2^14 - 16*T1^7*T2^15 + 
     112*T1^8*T2^15 - 271*T1^9*T2^15 + 285*T1^10*T2^15 - 126*T1^11*T2^15 - 
     126*T1^12*T2^15 + 285*T1^13*T2^15 - 271*T1^14*T2^15 + 112*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)/(T1^8*T2^8)}, 
 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), 
   -((23 - 57*T1 + 57*T1^2 - 57*T1^3 + 57*T1^4 - 57*T1^5 + 57*T1^6 - 
      57*T1^7 + 23*T1^8 - 57*T2 + 84*T1*T2 + 84*T1^8*T2 - 57*T1^9*T2 + 
      57*T2^2 - 157*T1^2*T2^2 + 85*T1^3*T2^2 - 85*T1^4*T2^2 + 85*T1^5*T2^2 - 
      85*T1^6*T2^2 + 85*T1^7*T2^2 - 157*T1^8*T2^2 + 57*T1^10*T2^2 - 57*T2^3 + 
      85*T1^2*T2^3 + 54*T1^3*T2^3 + 54*T1^8*T2^3 + 85*T1^9*T2^3 - 
      57*T1^11*T2^3 + 57*T2^4 - 85*T1^2*T2^4 - 102*T1^4*T2^4 + 60*T1^5*T2^4 - 
      60*T1^6*T2^4 + 60*T1^7*T2^4 - 102*T1^8*T2^4 - 85*T1^10*T2^4 + 
      57*T1^12*T2^4 - 57*T2^5 + 85*T1^2*T2^5 + 60*T1^4*T2^5 + 24*T1^5*T2^5 + 
      24*T1^8*T2^5 + 60*T1^9*T2^5 + 85*T1^11*T2^5 - 57*T1^13*T2^5 + 57*T2^6 - 
      85*T1^2*T2^6 - 60*T1^4*T2^6 - 47*T1^6*T2^6 + 35*T1^7*T2^6 - 
      47*T1^8*T2^6 - 60*T1^10*T2^6 - 85*T1^12*T2^6 + 57*T1^14*T2^6 - 
      57*T2^7 + 85*T1^2*T2^7 + 60*T1^4*T2^7 + 35*T1^6*T2^7 - 6*T1^7*T2^7 - 
      6*T1^8*T2^7 + 35*T1^9*T2^7 + 60*T1^11*T2^7 + 85*T1^13*T2^7 - 
      57*T1^15*T2^7 + 23*T2^8 + 84*T1*T2^8 - 157*T1^2*T2^8 + 54*T1^3*T2^8 - 
      102*T1^4*T2^8 + 24*T1^5*T2^8 - 47*T1^6*T2^8 - 6*T1^7*T2^8 + 
      24*T1^8*T2^8 - 6*T1^9*T2^8 - 47*T1^10*T2^8 + 24*T1^11*T2^8 - 
      102*T1^12*T2^8 + 54*T1^13*T2^8 - 157*T1^14*T2^8 + 84*T1^15*T2^8 + 
      23*T1^16*T2^8 - 57*T1*T2^9 + 85*T1^3*T2^9 + 60*T1^5*T2^9 + 
      35*T1^7*T2^9 - 6*T1^8*T2^9 - 6*T1^9*T2^9 + 35*T1^10*T2^9 + 
      60*T1^12*T2^9 + 85*T1^14*T2^9 - 57*T1^16*T2^9 + 57*T1^2*T2^10 - 
      85*T1^4*T2^10 - 60*T1^6*T2^10 - 47*T1^8*T2^10 + 35*T1^9*T2^10 - 
      47*T1^10*T2^10 - 60*T1^12*T2^10 - 85*T1^14*T2^10 + 57*T1^16*T2^10 - 
      57*T1^3*T2^11 + 85*T1^5*T2^11 + 60*T1^7*T2^11 + 24*T1^8*T2^11 + 
      24*T1^11*T2^11 + 60*T1^12*T2^11 + 85*T1^14*T2^11 - 57*T1^16*T2^11 + 
      57*T1^4*T2^12 - 85*T1^6*T2^12 - 102*T1^8*T2^12 + 60*T1^9*T2^12 - 
      60*T1^10*T2^12 + 60*T1^11*T2^12 - 102*T1^12*T2^12 - 85*T1^14*T2^12 + 
      57*T1^16*T2^12 - 57*T1^5*T2^13 + 85*T1^7*T2^13 + 54*T1^8*T2^13 + 
      54*T1^13*T2^13 + 85*T1^14*T2^13 - 57*T1^16*T2^13 + 57*T1^6*T2^14 - 
      157*T1^8*T2^14 + 85*T1^9*T2^14 - 85*T1^10*T2^14 + 85*T1^11*T2^14 - 
      85*T1^12*T2^14 + 85*T1^13*T2^14 - 157*T1^14*T2^14 + 57*T1^16*T2^14 - 
      57*T1^7*T2^15 + 84*T1^8*T2^15 + 84*T1^15*T2^15 - 57*T1^16*T2^15 + 
      23*T1^8*T2^16 - 57*T1^9*T2^16 + 57*T1^10*T2^16 - 57*T1^11*T2^16 + 
      57*T1^12*T2^16 - 57*T1^13*T2^16 + 57*T1^14*T2^16 - 57*T1^15*T2^16 + 
      23*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 1158] -> 
  {-(((2 - 3*T + 2*T^2)*(2 - 3*T + T^2 - 3*T^3 + 2*T^4))/T^3), 
   -((128 - 376*T1 + 464*T1^2 - 464*T1^3 + 464*T1^4 - 376*T1^5 + 128*T1^6 - 
      376*T2 + 728*T1*T2 - 260*T1^2*T2 - 260*T1^5*T2 + 728*T1^6*T2 - 
      376*T1^7*T2 + 464*T2^2 - 260*T1*T2^2 - 1142*T1^2*T2^2 + 
      1132*T1^3*T2^2 - 856*T1^4*T2^2 + 1132*T1^5*T2^2 - 1142*T1^6*T2^2 - 
      260*T1^7*T2^2 + 464*T1^8*T2^2 - 464*T2^3 + 1132*T1^2*T2^3 - 
      108*T1^3*T2^3 - 180*T1^4*T2^3 - 180*T1^5*T2^3 - 108*T1^6*T2^3 + 
      1132*T1^7*T2^3 - 464*T1^9*T2^3 + 464*T2^4 - 856*T1^2*T2^4 - 
      180*T1^3*T2^4 - 137*T1^4*T2^4 + 457*T1^5*T2^4 - 137*T1^6*T2^4 - 
      180*T1^7*T2^4 - 856*T1^8*T2^4 + 464*T1^10*T2^4 - 376*T2^5 - 
      260*T1*T2^5 + 1132*T1^2*T2^5 - 180*T1^3*T2^5 + 457*T1^4*T2^5 - 
      244*T1^5*T2^5 - 244*T1^6*T2^5 + 457*T1^7*T2^5 - 180*T1^8*T2^5 + 
      1132*T1^9*T2^5 - 260*T1^10*T2^5 - 376*T1^11*T2^5 + 128*T2^6 + 
      728*T1*T2^6 - 1142*T1^2*T2^6 - 108*T1^3*T2^6 - 137*T1^4*T2^6 - 
      244*T1^5*T2^6 + 468*T1^6*T2^6 - 244*T1^7*T2^6 - 137*T1^8*T2^6 - 
      108*T1^9*T2^6 - 1142*T1^10*T2^6 + 728*T1^11*T2^6 + 128*T1^12*T2^6 - 
      376*T1*T2^7 - 260*T1^2*T2^7 + 1132*T1^3*T2^7 - 180*T1^4*T2^7 + 
      457*T1^5*T2^7 - 244*T1^6*T2^7 - 244*T1^7*T2^7 + 457*T1^8*T2^7 - 
      180*T1^9*T2^7 + 1132*T1^10*T2^7 - 260*T1^11*T2^7 - 376*T1^12*T2^7 + 
      464*T1^2*T2^8 - 856*T1^4*T2^8 - 180*T1^5*T2^8 - 137*T1^6*T2^8 + 
      457*T1^7*T2^8 - 137*T1^8*T2^8 - 180*T1^9*T2^8 - 856*T1^10*T2^8 + 
      464*T1^12*T2^8 - 464*T1^3*T2^9 + 1132*T1^5*T2^9 - 108*T1^6*T2^9 - 
      180*T1^7*T2^9 - 180*T1^8*T2^9 - 108*T1^9*T2^9 + 1132*T1^10*T2^9 - 
      464*T1^12*T2^9 + 464*T1^4*T2^10 - 260*T1^5*T2^10 - 1142*T1^6*T2^10 + 
      1132*T1^7*T2^10 - 856*T1^8*T2^10 + 1132*T1^9*T2^10 - 1142*T1^10*T2^10 - 
      260*T1^11*T2^10 + 464*T1^12*T2^10 - 376*T1^5*T2^11 + 728*T1^6*T2^11 - 
      260*T1^7*T2^11 - 260*T1^10*T2^11 + 728*T1^11*T2^11 - 376*T1^12*T2^11 + 
      128*T1^6*T2^12 - 376*T1^7*T2^12 + 464*T1^8*T2^12 - 464*T1^9*T2^12 + 
      464*T1^10*T2^12 - 376*T1^11*T2^12 + 128*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 1159] -> 
  {-((4 - 14*T + 24*T^2 - 29*T^3 + 24*T^4 - 14*T^5 + 4*T^6)/T^3), 
   -((128 - 436*T1 + 732*T1^2 - 880*T1^3 + 732*T1^4 - 436*T1^5 + 128*T1^6 - 
      436*T2 + 1054*T1*T2 - 1024*T1^2*T2 + 512*T1^3*T2 + 512*T1^4*T2 - 
      1024*T1^5*T2 + 1054*T1^6*T2 - 436*T1^7*T2 + 732*T2^2 - 1024*T1*T2^2 - 
      215*T1^2*T2^2 + 1313*T1^3*T2^2 - 2281*T1^4*T2^2 + 1313*T1^5*T2^2 - 
      215*T1^6*T2^2 - 1024*T1^7*T2^2 + 732*T1^8*T2^2 - 880*T2^3 + 
      512*T1*T2^3 + 1313*T1^2*T2^3 - 1374*T1^3*T2^3 + 1132*T1^4*T2^3 + 
      1132*T1^5*T2^3 - 1374*T1^6*T2^3 + 1313*T1^7*T2^3 + 512*T1^8*T2^3 - 
      880*T1^9*T2^3 + 732*T2^4 + 512*T1*T2^4 - 2281*T1^2*T2^4 + 
      1132*T1^3*T2^4 - 760*T1^4*T2^4 - 916*T1^5*T2^4 - 760*T1^6*T2^4 + 
      1132*T1^7*T2^4 - 2281*T1^8*T2^4 + 512*T1^9*T2^4 + 732*T1^10*T2^4 - 
      436*T2^5 - 1024*T1*T2^5 + 1313*T1^2*T2^5 + 1132*T1^3*T2^5 - 
      916*T1^4*T2^5 + 1382*T1^5*T2^5 + 1382*T1^6*T2^5 - 916*T1^7*T2^5 + 
      1132*T1^8*T2^5 + 1313*T1^9*T2^5 - 1024*T1^10*T2^5 - 436*T1^11*T2^5 + 
      128*T2^6 + 1054*T1*T2^6 - 215*T1^2*T2^6 - 1374*T1^3*T2^6 - 
      760*T1^4*T2^6 + 1382*T1^5*T2^6 - 3576*T1^6*T2^6 + 1382*T1^7*T2^6 - 
      760*T1^8*T2^6 - 1374*T1^9*T2^6 - 215*T1^10*T2^6 + 1054*T1^11*T2^6 + 
      128*T1^12*T2^6 - 436*T1*T2^7 - 1024*T1^2*T2^7 + 1313*T1^3*T2^7 + 
      1132*T1^4*T2^7 - 916*T1^5*T2^7 + 1382*T1^6*T2^7 + 1382*T1^7*T2^7 - 
      916*T1^8*T2^7 + 1132*T1^9*T2^7 + 1313*T1^10*T2^7 - 1024*T1^11*T2^7 - 
      436*T1^12*T2^7 + 732*T1^2*T2^8 + 512*T1^3*T2^8 - 2281*T1^4*T2^8 + 
      1132*T1^5*T2^8 - 760*T1^6*T2^8 - 916*T1^7*T2^8 - 760*T1^8*T2^8 + 
      1132*T1^9*T2^8 - 2281*T1^10*T2^8 + 512*T1^11*T2^8 + 732*T1^12*T2^8 - 
      880*T1^3*T2^9 + 512*T1^4*T2^9 + 1313*T1^5*T2^9 - 1374*T1^6*T2^9 + 
      1132*T1^7*T2^9 + 1132*T1^8*T2^9 - 1374*T1^9*T2^9 + 1313*T1^10*T2^9 + 
      512*T1^11*T2^9 - 880*T1^12*T2^9 + 732*T1^4*T2^10 - 1024*T1^5*T2^10 - 
      215*T1^6*T2^10 + 1313*T1^7*T2^10 - 2281*T1^8*T2^10 + 1313*T1^9*T2^10 - 
      215*T1^10*T2^10 - 1024*T1^11*T2^10 + 732*T1^12*T2^10 - 436*T1^5*T2^11 + 
      1054*T1^6*T2^11 - 1024*T1^7*T2^11 + 512*T1^8*T2^11 + 512*T1^9*T2^11 - 
      1024*T1^10*T2^11 + 1054*T1^11*T2^11 - 436*T1^12*T2^11 + 
      128*T1^6*T2^12 - 436*T1^7*T2^12 + 732*T1^8*T2^12 - 880*T1^9*T2^12 + 
      732*T1^10*T2^12 - 436*T1^11*T2^12 + 128*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 1160] -> {-((8 - 28*T + 39*T^2 - 28*T^3 + 8*T^4)/T^2), 
   (-2*(288 - 960*T1 + 1304*T1^2 - 960*T1^3 + 288*T1^4 - 960*T2 + 
      2240*T1*T2 - 1152*T1^2*T2 - 1152*T1^3*T2 + 2240*T1^4*T2 - 960*T1^5*T2 + 
      1304*T2^2 - 1152*T1*T2^2 - 3497*T1^2*T2^2 + 5970*T1^3*T2^2 - 
      3497*T1^4*T2^2 - 1152*T1^5*T2^2 + 1304*T1^6*T2^2 - 960*T2^3 - 
      1152*T1*T2^3 + 5970*T1^2*T2^3 - 3246*T1^3*T2^3 - 3246*T1^4*T2^3 + 
      5970*T1^5*T2^3 - 1152*T1^6*T2^3 - 960*T1^7*T2^3 + 288*T2^4 + 
      2240*T1*T2^4 - 3497*T1^2*T2^4 - 3246*T1^3*T2^4 + 6990*T1^4*T2^4 - 
      3246*T1^5*T2^4 - 3497*T1^6*T2^4 + 2240*T1^7*T2^4 + 288*T1^8*T2^4 - 
      960*T1*T2^5 - 1152*T1^2*T2^5 + 5970*T1^3*T2^5 - 3246*T1^4*T2^5 - 
      3246*T1^5*T2^5 + 5970*T1^6*T2^5 - 1152*T1^7*T2^5 - 960*T1^8*T2^5 + 
      1304*T1^2*T2^6 - 1152*T1^3*T2^6 - 3497*T1^4*T2^6 + 5970*T1^5*T2^6 - 
      3497*T1^6*T2^6 - 1152*T1^7*T2^6 + 1304*T1^8*T2^6 - 960*T1^3*T2^7 + 
      2240*T1^4*T2^7 - 1152*T1^5*T2^7 - 1152*T1^6*T2^7 + 2240*T1^7*T2^7 - 
      960*T1^8*T2^7 + 288*T1^4*T2^8 - 960*T1^5*T2^8 + 1304*T1^6*T2^8 - 
      960*T1^7*T2^8 + 288*T1^8*T2^8))/(T1^4*T2^4)}, 
 Knot[12, Alternating, 1161] -> 
  {-(((-3 + 2*T)*(-2 + 3*T)*(1 - T + T^2))/T^2), 
   -((261 - 797*T1 + 1025*T1^2 - 797*T1^3 + 261*T1^4 - 797*T2 + 1632*T1*T2 - 
      696*T1^2*T2 - 696*T1^3*T2 + 1632*T1^4*T2 - 797*T1^5*T2 + 1025*T2^2 - 
      696*T1*T2^2 - 2520*T1^2*T2^2 + 3668*T1^3*T2^2 - 2520*T1^4*T2^2 - 
      696*T1^5*T2^2 + 1025*T1^6*T2^2 - 797*T2^3 - 696*T1*T2^3 + 
      3668*T1^2*T2^3 - 1614*T1^3*T2^3 - 1614*T1^4*T2^3 + 3668*T1^5*T2^3 - 
      696*T1^6*T2^3 - 797*T1^7*T2^3 + 261*T2^4 + 1632*T1*T2^4 - 
      2520*T1^2*T2^4 - 1614*T1^3*T2^4 + 3204*T1^4*T2^4 - 1614*T1^5*T2^4 - 
      2520*T1^6*T2^4 + 1632*T1^7*T2^4 + 261*T1^8*T2^4 - 797*T1*T2^5 - 
      696*T1^2*T2^5 + 3668*T1^3*T2^5 - 1614*T1^4*T2^5 - 1614*T1^5*T2^5 + 
      3668*T1^6*T2^5 - 696*T1^7*T2^5 - 797*T1^8*T2^5 + 1025*T1^2*T2^6 - 
      696*T1^3*T2^6 - 2520*T1^4*T2^6 + 3668*T1^5*T2^6 - 2520*T1^6*T2^6 - 
      696*T1^7*T2^6 + 1025*T1^8*T2^6 - 797*T1^3*T2^7 + 1632*T1^4*T2^7 - 
      696*T1^5*T2^7 - 696*T1^6*T2^7 + 1632*T1^7*T2^7 - 797*T1^8*T2^7 + 
      261*T1^4*T2^8 - 797*T1^5*T2^8 + 1025*T1^6*T2^8 - 797*T1^7*T2^8 + 
      261*T1^8*T2^8)/(T1^4*T2^4))}, Knot[12, Alternating, 1162] -> 
  {-((4 - 11*T + 13*T^2 - 13*T^3 + 13*T^4 - 11*T^5 + 4*T^6)/T^3), 
   -((128 - 348*T1 + 408*T1^2 - 408*T1^3 + 408*T1^4 - 348*T1^5 + 128*T1^6 - 
      348*T2 + 598*T1*T2 - 164*T1^2*T2 - 164*T1^5*T2 + 598*T1^6*T2 - 
      348*T1^7*T2 + 408*T2^2 - 164*T1*T2^2 - 921*T1^2*T2^2 + 779*T1^3*T2^2 - 
      617*T1^4*T2^2 + 779*T1^5*T2^2 - 921*T1^6*T2^2 - 164*T1^7*T2^2 + 
      408*T1^8*T2^2 - 408*T2^3 + 779*T1^2*T2^3 + 58*T1^3*T2^3 - 
      106*T1^4*T2^3 - 106*T1^5*T2^3 + 58*T1^6*T2^3 + 779*T1^7*T2^3 - 
      408*T1^9*T2^3 + 408*T2^4 - 617*T1^2*T2^4 - 106*T1^3*T2^4 - 
      295*T1^4*T2^4 + 415*T1^5*T2^4 - 295*T1^6*T2^4 - 106*T1^7*T2^4 - 
      617*T1^8*T2^4 + 408*T1^10*T2^4 - 348*T2^5 - 164*T1*T2^5 + 
      779*T1^2*T2^5 - 106*T1^3*T2^5 + 415*T1^4*T2^5 - 134*T1^5*T2^5 - 
      134*T1^6*T2^5 + 415*T1^7*T2^5 - 106*T1^8*T2^5 + 779*T1^9*T2^5 - 
      164*T1^10*T2^5 - 348*T1^11*T2^5 + 128*T2^6 + 598*T1*T2^6 - 
      921*T1^2*T2^6 + 58*T1^3*T2^6 - 295*T1^4*T2^6 - 134*T1^5*T2^6 + 
      228*T1^6*T2^6 - 134*T1^7*T2^6 - 295*T1^8*T2^6 + 58*T1^9*T2^6 - 
      921*T1^10*T2^6 + 598*T1^11*T2^6 + 128*T1^12*T2^6 - 348*T1*T2^7 - 
      164*T1^2*T2^7 + 779*T1^3*T2^7 - 106*T1^4*T2^7 + 415*T1^5*T2^7 - 
      134*T1^6*T2^7 - 134*T1^7*T2^7 + 415*T1^8*T2^7 - 106*T1^9*T2^7 + 
      779*T1^10*T2^7 - 164*T1^11*T2^7 - 348*T1^12*T2^7 + 408*T1^2*T2^8 - 
      617*T1^4*T2^8 - 106*T1^5*T2^8 - 295*T1^6*T2^8 + 415*T1^7*T2^8 - 
      295*T1^8*T2^8 - 106*T1^9*T2^8 - 617*T1^10*T2^8 + 408*T1^12*T2^8 - 
      408*T1^3*T2^9 + 779*T1^5*T2^9 + 58*T1^6*T2^9 - 106*T1^7*T2^9 - 
      106*T1^8*T2^9 + 58*T1^9*T2^9 + 779*T1^10*T2^9 - 408*T1^12*T2^9 + 
      408*T1^4*T2^10 - 164*T1^5*T2^10 - 921*T1^6*T2^10 + 779*T1^7*T2^10 - 
      617*T1^8*T2^10 + 779*T1^9*T2^10 - 921*T1^10*T2^10 - 164*T1^11*T2^10 + 
      408*T1^12*T2^10 - 348*T1^5*T2^11 + 598*T1^6*T2^11 - 164*T1^7*T2^11 - 
      164*T1^10*T2^11 + 598*T1^11*T2^11 - 348*T1^12*T2^11 + 128*T1^6*T2^12 - 
      348*T1^7*T2^12 + 408*T1^8*T2^12 - 408*T1^9*T2^12 + 408*T1^10*T2^12 - 
      348*T1^11*T2^12 + 128*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 1163] -> {-((8 - 26*T + 35*T^2 - 26*T^3 + 8*T^4)/T^2), 
   -((576 - 1808*T1 + 2384*T1^2 - 1808*T1^3 + 576*T1^4 - 1808*T2 + 
      3876*T1*T2 - 1824*T1^2*T2 - 1824*T1^3*T2 + 3876*T1^4*T2 - 
      1808*T1^5*T2 + 2384*T2^2 - 1824*T1*T2^2 - 5831*T1^2*T2^2 + 
      9221*T1^3*T2^2 - 5831*T1^4*T2^2 - 1824*T1^5*T2^2 + 2384*T1^6*T2^2 - 
      1808*T2^3 - 1824*T1*T2^3 + 9221*T1^2*T2^3 - 4494*T1^3*T2^3 - 
      4494*T1^4*T2^3 + 9221*T1^5*T2^3 - 1824*T1^6*T2^3 - 1808*T1^7*T2^3 + 
      576*T2^4 + 3876*T1*T2^4 - 5831*T1^2*T2^4 - 4494*T1^3*T2^4 + 
      9192*T1^4*T2^4 - 4494*T1^5*T2^4 - 5831*T1^6*T2^4 + 3876*T1^7*T2^4 + 
      576*T1^8*T2^4 - 1808*T1*T2^5 - 1824*T1^2*T2^5 + 9221*T1^3*T2^5 - 
      4494*T1^4*T2^5 - 4494*T1^5*T2^5 + 9221*T1^6*T2^5 - 1824*T1^7*T2^5 - 
      1808*T1^8*T2^5 + 2384*T1^2*T2^6 - 1824*T1^3*T2^6 - 5831*T1^4*T2^6 + 
      9221*T1^5*T2^6 - 5831*T1^6*T2^6 - 1824*T1^7*T2^6 + 2384*T1^8*T2^6 - 
      1808*T1^3*T2^7 + 3876*T1^4*T2^7 - 1824*T1^5*T2^7 - 1824*T1^6*T2^7 + 
      3876*T1^7*T2^7 - 1808*T1^8*T2^7 + 576*T1^4*T2^8 - 1808*T1^5*T2^8 + 
      2384*T1^6*T2^8 - 1808*T1^7*T2^8 + 576*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, Alternating, 1164] -> 
  {-(((1 - T + T^2)*(4 - 9*T + 9*T^2 - 9*T^3 + 4*T^4))/T^3), 
   (-2*(64 - 204*T1 + 340*T1^2 - 416*T1^3 + 340*T1^4 - 204*T1^5 + 64*T1^6 - 
      204*T2 + 448*T1*T2 - 438*T1^2*T2 + 244*T1^3*T2 + 244*T1^4*T2 - 
      438*T1^5*T2 + 448*T1^6*T2 - 204*T1^7*T2 + 340*T2^2 - 438*T1*T2^2 + 
      19*T1^2*T2^2 + 340*T1^3*T2^2 - 827*T1^4*T2^2 + 340*T1^5*T2^2 + 
      19*T1^6*T2^2 - 438*T1^7*T2^2 + 340*T1^8*T2^2 - 416*T2^3 + 244*T1*T2^3 + 
      340*T1^2*T2^3 - 354*T1^3*T2^3 + 502*T1^4*T2^3 + 502*T1^5*T2^3 - 
      354*T1^6*T2^3 + 340*T1^7*T2^3 + 244*T1^8*T2^3 - 416*T1^9*T2^3 + 
      340*T2^4 + 244*T1*T2^4 - 827*T1^2*T2^4 + 502*T1^3*T2^4 - 
      601*T1^4*T2^4 - 321*T1^5*T2^4 - 601*T1^6*T2^4 + 502*T1^7*T2^4 - 
      827*T1^8*T2^4 + 244*T1^9*T2^4 + 340*T1^10*T2^4 - 204*T2^5 - 
      438*T1*T2^5 + 340*T1^2*T2^5 + 502*T1^3*T2^5 - 321*T1^4*T2^5 + 
      770*T1^5*T2^5 + 770*T1^6*T2^5 - 321*T1^7*T2^5 + 502*T1^8*T2^5 + 
      340*T1^9*T2^5 - 438*T1^10*T2^5 - 204*T1^11*T2^5 + 64*T2^6 + 
      448*T1*T2^6 + 19*T1^2*T2^6 - 354*T1^3*T2^6 - 601*T1^4*T2^6 + 
      770*T1^5*T2^6 - 2100*T1^6*T2^6 + 770*T1^7*T2^6 - 601*T1^8*T2^6 - 
      354*T1^9*T2^6 + 19*T1^10*T2^6 + 448*T1^11*T2^6 + 64*T1^12*T2^6 - 
      204*T1*T2^7 - 438*T1^2*T2^7 + 340*T1^3*T2^7 + 502*T1^4*T2^7 - 
      321*T1^5*T2^7 + 770*T1^6*T2^7 + 770*T1^7*T2^7 - 321*T1^8*T2^7 + 
      502*T1^9*T2^7 + 340*T1^10*T2^7 - 438*T1^11*T2^7 - 204*T1^12*T2^7 + 
      340*T1^2*T2^8 + 244*T1^3*T2^8 - 827*T1^4*T2^8 + 502*T1^5*T2^8 - 
      601*T1^6*T2^8 - 321*T1^7*T2^8 - 601*T1^8*T2^8 + 502*T1^9*T2^8 - 
      827*T1^10*T2^8 + 244*T1^11*T2^8 + 340*T1^12*T2^8 - 416*T1^3*T2^9 + 
      244*T1^4*T2^9 + 340*T1^5*T2^9 - 354*T1^6*T2^9 + 502*T1^7*T2^9 + 
      502*T1^8*T2^9 - 354*T1^9*T2^9 + 340*T1^10*T2^9 + 244*T1^11*T2^9 - 
      416*T1^12*T2^9 + 340*T1^4*T2^10 - 438*T1^5*T2^10 + 19*T1^6*T2^10 + 
      340*T1^7*T2^10 - 827*T1^8*T2^10 + 340*T1^9*T2^10 + 19*T1^10*T2^10 - 
      438*T1^11*T2^10 + 340*T1^12*T2^10 - 204*T1^5*T2^11 + 448*T1^6*T2^11 - 
      438*T1^7*T2^11 + 244*T1^8*T2^11 + 244*T1^9*T2^11 - 438*T1^10*T2^11 + 
      448*T1^11*T2^11 - 204*T1^12*T2^11 + 64*T1^6*T2^12 - 204*T1^7*T2^12 + 
      340*T1^8*T2^12 - 416*T1^9*T2^12 + 340*T1^10*T2^12 - 204*T1^11*T2^12 + 
      64*T1^12*T2^12))/(T1^6*T2^6)}, Knot[12, Alternating, 1165] -> 
  {-((6 - 17*T + 21*T^2 - 17*T^3 + 6*T^4)/T^2), 
   -((261 - 727*T1 + 885*T1^2 - 727*T1^3 + 261*T1^4 - 727*T2 + 1298*T1*T2 - 
      442*T1^2*T2 - 442*T1^3*T2 + 1298*T1^4*T2 - 727*T1^5*T2 + 885*T2^2 - 
      442*T1*T2^2 - 1959*T1^2*T2^2 + 2407*T1^3*T2^2 - 1959*T1^4*T2^2 - 
      442*T1^5*T2^2 + 885*T1^6*T2^2 - 727*T2^3 - 442*T1*T2^3 + 
      2407*T1^2*T2^3 - 764*T1^3*T2^3 - 764*T1^4*T2^3 + 2407*T1^5*T2^3 - 
      442*T1^6*T2^3 - 727*T1^7*T2^3 + 261*T2^4 + 1298*T1*T2^4 - 
      1959*T1^2*T2^4 - 764*T1^3*T2^4 + 1260*T1^4*T2^4 - 764*T1^5*T2^4 - 
      1959*T1^6*T2^4 + 1298*T1^7*T2^4 + 261*T1^8*T2^4 - 727*T1*T2^5 - 
      442*T1^2*T2^5 + 2407*T1^3*T2^5 - 764*T1^4*T2^5 - 764*T1^5*T2^5 + 
      2407*T1^6*T2^5 - 442*T1^7*T2^5 - 727*T1^8*T2^5 + 885*T1^2*T2^6 - 
      442*T1^3*T2^6 - 1959*T1^4*T2^6 + 2407*T1^5*T2^6 - 1959*T1^6*T2^6 - 
      442*T1^7*T2^6 + 885*T1^8*T2^6 - 727*T1^3*T2^7 + 1298*T1^4*T2^7 - 
      442*T1^5*T2^7 - 442*T1^6*T2^7 + 1298*T1^7*T2^7 - 727*T1^8*T2^7 + 
      261*T1^4*T2^8 - 727*T1^5*T2^8 + 885*T1^6*T2^8 - 727*T1^7*T2^8 + 
      261*T1^8*T2^8)/(T1^4*T2^4))}, Knot[12, Alternating, 1166] -> 
  {-((8 - 17*T + 8*T^2)/T), (-8*(28 - 61*T1 + 28*T1^2 - 61*T2 + 72*T1*T2 + 
      72*T1^2*T2 - 61*T1^3*T2 + 28*T2^2 + 72*T1*T2^2 - 234*T1^2*T2^2 + 
      72*T1^3*T2^2 + 28*T1^4*T2^2 - 61*T1*T2^3 + 72*T1^2*T2^3 + 
      72*T1^3*T2^3 - 61*T1^4*T2^3 + 28*T1^2*T2^4 - 61*T1^3*T2^4 + 
      28*T1^4*T2^4))/(T1^2*T2^2)}, 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, 0}, 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, -((1 - 4*T1 + 10*T1^2 - 19*T1^3 + 28*T1^4 - 31*T1^5 + 
      28*T1^6 - 19*T1^7 + 10*T1^8 - 4*T1^9 + T1^10 - 4*T2 + 12*T1*T2 - 
      24*T1^2*T2 + 36*T1^3*T2 - 36*T1^4*T2 + 12*T1^5*T2 + 12*T1^6*T2 - 
      36*T1^7*T2 + 36*T1^8*T2 - 24*T1^9*T2 + 12*T1^10*T2 - 4*T1^11*T2 + 
      10*T2^2 - 24*T1*T2^2 + 46*T1^2*T2^2 - 68*T1^3*T2^2 + 69*T1^4*T2^2 - 
      36*T1^5*T2^2 + 42*T1^6*T2^2 - 36*T1^7*T2^2 + 69*T1^8*T2^2 - 
      68*T1^9*T2^2 + 46*T1^10*T2^2 - 24*T1^11*T2^2 + 10*T1^12*T2^2 - 
      19*T2^3 + 36*T1*T2^3 - 68*T1^2*T2^3 + 90*T1^3*T2^3 - 71*T1^4*T2^3 - 
      25*T1^6*T2^3 - 25*T1^7*T2^3 - 71*T1^9*T2^3 + 90*T1^10*T2^3 - 
      68*T1^11*T2^3 + 36*T1^12*T2^3 - 19*T1^13*T2^3 + 28*T2^4 - 36*T1*T2^4 + 
      69*T1^2*T2^4 - 71*T1^3*T2^4 + 31*T1^4*T2^4 + 47*T1^5*T2^4 + 
      69*T1^6*T2^4 + 7*T1^7*T2^4 + 69*T1^8*T2^4 + 47*T1^9*T2^4 + 
      31*T1^10*T2^4 - 71*T1^11*T2^4 + 69*T1^12*T2^4 - 36*T1^13*T2^4 + 
      28*T1^14*T2^4 - 31*T2^5 + 12*T1*T2^5 - 36*T1^2*T2^5 + 47*T1^4*T2^5 - 
      96*T1^5*T2^5 - 116*T1^6*T2^5 - 61*T1^7*T2^5 - 61*T1^8*T2^5 - 
      116*T1^9*T2^5 - 96*T1^10*T2^5 + 47*T1^11*T2^5 - 36*T1^13*T2^5 + 
      12*T1^14*T2^5 - 31*T1^15*T2^5 + 28*T2^6 + 12*T1*T2^6 + 42*T1^2*T2^6 - 
      25*T1^3*T2^6 + 69*T1^4*T2^6 - 116*T1^5*T2^6 + 360*T1^6*T2^6 - 
      6*T1^7*T2^6 + 214*T1^8*T2^6 - 6*T1^9*T2^6 + 360*T1^10*T2^6 - 
      116*T1^11*T2^6 + 69*T1^12*T2^6 - 25*T1^13*T2^6 + 42*T1^14*T2^6 + 
      12*T1^15*T2^6 + 28*T1^16*T2^6 - 19*T2^7 - 36*T1*T2^7 - 36*T1^2*T2^7 - 
      25*T1^3*T2^7 + 7*T1^4*T2^7 - 61*T1^5*T2^7 - 6*T1^6*T2^7 - 
      462*T1^7*T2^7 - 43*T1^8*T2^7 - 43*T1^9*T2^7 - 462*T1^10*T2^7 - 
      6*T1^11*T2^7 - 61*T1^12*T2^7 + 7*T1^13*T2^7 - 25*T1^14*T2^7 - 
      36*T1^15*T2^7 - 36*T1^16*T2^7 - 19*T1^17*T2^7 + 10*T2^8 + 36*T1*T2^8 + 
      69*T1^2*T2^8 + 69*T1^4*T2^8 - 61*T1^5*T2^8 + 214*T1^6*T2^8 - 
      43*T1^7*T2^8 + 945*T1^8*T2^8 - 743*T1^9*T2^8 + 945*T1^10*T2^8 - 
      43*T1^11*T2^8 + 214*T1^12*T2^8 - 61*T1^13*T2^8 + 69*T1^14*T2^8 + 
      69*T1^16*T2^8 + 36*T1^17*T2^8 + 10*T1^18*T2^8 - 4*T2^9 - 24*T1*T2^9 - 
      68*T1^2*T2^9 - 71*T1^3*T2^9 + 47*T1^4*T2^9 - 116*T1^5*T2^9 - 
      6*T1^6*T2^9 - 43*T1^7*T2^9 - 743*T1^8*T2^9 + 36*T1^9*T2^9 + 
      36*T1^10*T2^9 - 743*T1^11*T2^9 - 43*T1^12*T2^9 - 6*T1^13*T2^9 - 
      116*T1^14*T2^9 + 47*T1^15*T2^9 - 71*T1^16*T2^9 - 68*T1^17*T2^9 - 
      24*T1^18*T2^9 - 4*T1^19*T2^9 + T2^10 + 12*T1*T2^10 + 46*T1^2*T2^10 + 
      90*T1^3*T2^10 + 31*T1^4*T2^10 - 96*T1^5*T2^10 + 360*T1^6*T2^10 - 
      462*T1^7*T2^10 + 945*T1^8*T2^10 + 36*T1^9*T2^10 + 144*T1^10*T2^10 + 
      36*T1^11*T2^10 + 945*T1^12*T2^10 - 462*T1^13*T2^10 + 360*T1^14*T2^10 - 
      96*T1^15*T2^10 + 31*T1^16*T2^10 + 90*T1^17*T2^10 + 46*T1^18*T2^10 + 
      12*T1^19*T2^10 + T1^20*T2^10 - 4*T1*T2^11 - 24*T1^2*T2^11 - 
      68*T1^3*T2^11 - 71*T1^4*T2^11 + 47*T1^5*T2^11 - 116*T1^6*T2^11 - 
      6*T1^7*T2^11 - 43*T1^8*T2^11 - 743*T1^9*T2^11 + 36*T1^10*T2^11 + 
      36*T1^11*T2^11 - 743*T1^12*T2^11 - 43*T1^13*T2^11 - 6*T1^14*T2^11 - 
      116*T1^15*T2^11 + 47*T1^16*T2^11 - 71*T1^17*T2^11 - 68*T1^18*T2^11 - 
      24*T1^19*T2^11 - 4*T1^20*T2^11 + 10*T1^2*T2^12 + 36*T1^3*T2^12 + 
      69*T1^4*T2^12 + 69*T1^6*T2^12 - 61*T1^7*T2^12 + 214*T1^8*T2^12 - 
      43*T1^9*T2^12 + 945*T1^10*T2^12 - 743*T1^11*T2^12 + 945*T1^12*T2^12 - 
      43*T1^13*T2^12 + 214*T1^14*T2^12 - 61*T1^15*T2^12 + 69*T1^16*T2^12 + 
      69*T1^18*T2^12 + 36*T1^19*T2^12 + 10*T1^20*T2^12 - 19*T1^3*T2^13 - 
      36*T1^4*T2^13 - 36*T1^5*T2^13 - 25*T1^6*T2^13 + 7*T1^7*T2^13 - 
      61*T1^8*T2^13 - 6*T1^9*T2^13 - 462*T1^10*T2^13 - 43*T1^11*T2^13 - 
      43*T1^12*T2^13 - 462*T1^13*T2^13 - 6*T1^14*T2^13 - 61*T1^15*T2^13 + 
      7*T1^16*T2^13 - 25*T1^17*T2^13 - 36*T1^18*T2^13 - 36*T1^19*T2^13 - 
      19*T1^20*T2^13 + 28*T1^4*T2^14 + 12*T1^5*T2^14 + 42*T1^6*T2^14 - 
      25*T1^7*T2^14 + 69*T1^8*T2^14 - 116*T1^9*T2^14 + 360*T1^10*T2^14 - 
      6*T1^11*T2^14 + 214*T1^12*T2^14 - 6*T1^13*T2^14 + 360*T1^14*T2^14 - 
      116*T1^15*T2^14 + 69*T1^16*T2^14 - 25*T1^17*T2^14 + 42*T1^18*T2^14 + 
      12*T1^19*T2^14 + 28*T1^20*T2^14 - 31*T1^5*T2^15 + 12*T1^6*T2^15 - 
      36*T1^7*T2^15 + 47*T1^9*T2^15 - 96*T1^10*T2^15 - 116*T1^11*T2^15 - 
      61*T1^12*T2^15 - 61*T1^13*T2^15 - 116*T1^14*T2^15 - 96*T1^15*T2^15 + 
      47*T1^16*T2^15 - 36*T1^18*T2^15 + 12*T1^19*T2^15 - 31*T1^20*T2^15 + 
      28*T1^6*T2^16 - 36*T1^7*T2^16 + 69*T1^8*T2^16 - 71*T1^9*T2^16 + 
      31*T1^10*T2^16 + 47*T1^11*T2^16 + 69*T1^12*T2^16 + 7*T1^13*T2^16 + 
      69*T1^14*T2^16 + 47*T1^15*T2^16 + 31*T1^16*T2^16 - 71*T1^17*T2^16 + 
      69*T1^18*T2^16 - 36*T1^19*T2^16 + 28*T1^20*T2^16 - 19*T1^7*T2^17 + 
      36*T1^8*T2^17 - 68*T1^9*T2^17 + 90*T1^10*T2^17 - 71*T1^11*T2^17 - 
      25*T1^13*T2^17 - 25*T1^14*T2^17 - 71*T1^16*T2^17 + 90*T1^17*T2^17 - 
      68*T1^18*T2^17 + 36*T1^19*T2^17 - 19*T1^20*T2^17 + 10*T1^8*T2^18 - 
      24*T1^9*T2^18 + 46*T1^10*T2^18 - 68*T1^11*T2^18 + 69*T1^12*T2^18 - 
      36*T1^13*T2^18 + 42*T1^14*T2^18 - 36*T1^15*T2^18 + 69*T1^16*T2^18 - 
      68*T1^17*T2^18 + 46*T1^18*T2^18 - 24*T1^19*T2^18 + 10*T1^20*T2^18 - 
      4*T1^9*T2^19 + 12*T1^10*T2^19 - 24*T1^11*T2^19 + 36*T1^12*T2^19 - 
      36*T1^13*T2^19 + 12*T1^14*T2^19 + 12*T1^15*T2^19 - 36*T1^16*T2^19 + 
      36*T1^17*T2^19 - 24*T1^18*T2^19 + 12*T1^19*T2^19 - 4*T1^20*T2^19 + 
      T1^10*T2^20 - 4*T1^11*T2^20 + 10*T1^12*T2^20 - 19*T1^13*T2^20 + 
      28*T1^14*T2^20 - 31*T1^15*T2^20 + 28*T1^16*T2^20 - 19*T1^17*T2^20 + 
      10*T1^18*T2^20 - 4*T1^19*T2^20 + T1^20*T2^20)/(T1^10*T2^10))}, 
 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, -((1 - 4*T1 + 9*T1^2 - 14*T1^3 + 17*T1^4 - 14*T1^5 + 9*T1^6 - 
      4*T1^7 + T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 20*T1^3*T2 - 
      12*T1^4*T2 - 12*T1^5*T2 + 20*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 
      4*T1^9*T2 + 9*T2^2 - 20*T1*T2^2 + 30*T1^2*T2^2 - 28*T1^3*T2^2 + 
      35*T1^4*T2^2 - 16*T1^5*T2^2 + 35*T1^6*T2^2 - 28*T1^7*T2^2 + 
      30*T1^8*T2^2 - 20*T1^9*T2^2 + 9*T1^10*T2^2 - 14*T2^3 + 20*T1*T2^3 - 
      28*T1^2*T2^3 + 12*T1^3*T2^3 - 43*T1^4*T2^3 - T1^5*T2^3 - T1^6*T2^3 - 
      43*T1^7*T2^3 + 12*T1^8*T2^3 - 28*T1^9*T2^3 + 20*T1^10*T2^3 - 
      14*T1^11*T2^3 + 17*T2^4 - 12*T1*T2^4 + 35*T1^2*T2^4 - 43*T1^3*T2^4 + 
      198*T1^4*T2^4 - 165*T1^5*T2^4 + 192*T1^6*T2^4 - 165*T1^7*T2^4 + 
      198*T1^8*T2^4 - 43*T1^9*T2^4 + 35*T1^10*T2^4 - 12*T1^11*T2^4 + 
      17*T1^12*T2^4 - 14*T2^5 - 12*T1*T2^5 - 16*T1^2*T2^5 - T1^3*T2^5 - 
      165*T1^4*T2^5 - 52*T1^5*T2^5 + 16*T1^6*T2^5 + 16*T1^7*T2^5 - 
      52*T1^8*T2^5 - 165*T1^9*T2^5 - T1^10*T2^5 - 16*T1^11*T2^5 - 
      12*T1^12*T2^5 - 14*T1^13*T2^5 + 9*T2^6 + 20*T1*T2^6 + 35*T1^2*T2^6 - 
      T1^3*T2^6 + 192*T1^4*T2^6 + 16*T1^5*T2^6 + 332*T1^6*T2^6 - 
      422*T1^7*T2^6 + 332*T1^8*T2^6 + 16*T1^9*T2^6 + 192*T1^10*T2^6 - 
      T1^11*T2^6 + 35*T1^12*T2^6 + 20*T1^13*T2^6 + 9*T1^14*T2^6 - 4*T2^7 - 
      20*T1*T2^7 - 28*T1^2*T2^7 - 43*T1^3*T2^7 - 165*T1^4*T2^7 + 
      16*T1^5*T2^7 - 422*T1^6*T2^7 + 146*T1^7*T2^7 + 146*T1^8*T2^7 - 
      422*T1^9*T2^7 + 16*T1^10*T2^7 - 165*T1^11*T2^7 - 43*T1^12*T2^7 - 
      28*T1^13*T2^7 - 20*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 
      30*T1^2*T2^8 + 12*T1^3*T2^8 + 198*T1^4*T2^8 - 52*T1^5*T2^8 + 
      332*T1^6*T2^8 + 146*T1^7*T2^8 - 216*T1^8*T2^8 + 146*T1^9*T2^8 + 
      332*T1^10*T2^8 - 52*T1^11*T2^8 + 198*T1^12*T2^8 + 12*T1^13*T2^8 + 
      30*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 20*T1^2*T2^9 - 
      28*T1^3*T2^9 - 43*T1^4*T2^9 - 165*T1^5*T2^9 + 16*T1^6*T2^9 - 
      422*T1^7*T2^9 + 146*T1^8*T2^9 + 146*T1^9*T2^9 - 422*T1^10*T2^9 + 
      16*T1^11*T2^9 - 165*T1^12*T2^9 - 43*T1^13*T2^9 - 28*T1^14*T2^9 - 
      20*T1^15*T2^9 - 4*T1^16*T2^9 + 9*T1^2*T2^10 + 20*T1^3*T2^10 + 
      35*T1^4*T2^10 - T1^5*T2^10 + 192*T1^6*T2^10 + 16*T1^7*T2^10 + 
      332*T1^8*T2^10 - 422*T1^9*T2^10 + 332*T1^10*T2^10 + 16*T1^11*T2^10 + 
      192*T1^12*T2^10 - T1^13*T2^10 + 35*T1^14*T2^10 + 20*T1^15*T2^10 + 
      9*T1^16*T2^10 - 14*T1^3*T2^11 - 12*T1^4*T2^11 - 16*T1^5*T2^11 - 
      T1^6*T2^11 - 165*T1^7*T2^11 - 52*T1^8*T2^11 + 16*T1^9*T2^11 + 
      16*T1^10*T2^11 - 52*T1^11*T2^11 - 165*T1^12*T2^11 - T1^13*T2^11 - 
      16*T1^14*T2^11 - 12*T1^15*T2^11 - 14*T1^16*T2^11 + 17*T1^4*T2^12 - 
      12*T1^5*T2^12 + 35*T1^6*T2^12 - 43*T1^7*T2^12 + 198*T1^8*T2^12 - 
      165*T1^9*T2^12 + 192*T1^10*T2^12 - 165*T1^11*T2^12 + 198*T1^12*T2^12 - 
      43*T1^13*T2^12 + 35*T1^14*T2^12 - 12*T1^15*T2^12 + 17*T1^16*T2^12 - 
      14*T1^5*T2^13 + 20*T1^6*T2^13 - 28*T1^7*T2^13 + 12*T1^8*T2^13 - 
      43*T1^9*T2^13 - T1^10*T2^13 - T1^11*T2^13 - 43*T1^12*T2^13 + 
      12*T1^13*T2^13 - 28*T1^14*T2^13 + 20*T1^15*T2^13 - 14*T1^16*T2^13 + 
      9*T1^6*T2^14 - 20*T1^7*T2^14 + 30*T1^8*T2^14 - 28*T1^9*T2^14 + 
      35*T1^10*T2^14 - 16*T1^11*T2^14 + 35*T1^12*T2^14 - 28*T1^13*T2^14 + 
      30*T1^14*T2^14 - 20*T1^15*T2^14 + 9*T1^16*T2^14 - 4*T1^7*T2^15 + 
      12*T1^8*T2^15 - 20*T1^9*T2^15 + 20*T1^10*T2^15 - 12*T1^11*T2^15 - 
      12*T1^12*T2^15 + 20*T1^13*T2^15 - 20*T1^14*T2^15 + 12*T1^15*T2^15 - 
      4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 9*T1^10*T2^16 - 
      14*T1^11*T2^16 + 17*T1^12*T2^16 - 14*T1^13*T2^16 + 9*T1^14*T2^16 - 
      4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, -((1 - 4*T1 + 9*T1^2 - 15*T1^3 + 19*T1^4 - 15*T1^5 + 9*T1^6 - 
      4*T1^7 + T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 24*T1^3*T2 - 
      16*T1^4*T2 - 16*T1^5*T2 + 24*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 
      4*T1^9*T2 + 9*T2^2 - 20*T1*T2^2 + 34*T1^2*T2^2 - 47*T1^3*T2^2 + 
      44*T1^4*T2^2 - 2*T1^5*T2^2 + 44*T1^6*T2^2 - 47*T1^7*T2^2 + 
      34*T1^8*T2^2 - 20*T1^9*T2^2 + 9*T1^10*T2^2 - 15*T2^3 + 24*T1*T2^3 - 
      47*T1^2*T2^3 + 54*T1^3*T2^3 - 34*T1^4*T2^3 - 43*T1^5*T2^3 - 
      43*T1^6*T2^3 - 34*T1^7*T2^3 + 54*T1^8*T2^3 - 47*T1^9*T2^3 + 
      24*T1^10*T2^3 - 15*T1^11*T2^3 + 19*T2^4 - 16*T1*T2^4 + 44*T1^2*T2^4 - 
      34*T1^3*T2^4 + 39*T1^4*T2^4 + 22*T1^5*T2^4 + 149*T1^6*T2^4 + 
      22*T1^7*T2^4 + 39*T1^8*T2^4 - 34*T1^9*T2^4 + 44*T1^10*T2^4 - 
      16*T1^11*T2^4 + 19*T1^12*T2^4 - 15*T2^5 - 16*T1*T2^5 - 2*T1^2*T2^5 - 
      43*T1^3*T2^5 + 22*T1^4*T2^5 - 98*T1^5*T2^5 - 138*T1^6*T2^5 - 
      138*T1^7*T2^5 - 98*T1^8*T2^5 + 22*T1^9*T2^5 - 43*T1^10*T2^5 - 
      2*T1^11*T2^5 - 16*T1^12*T2^5 - 15*T1^13*T2^5 + 9*T2^6 + 24*T1*T2^6 + 
      44*T1^2*T2^6 - 43*T1^3*T2^6 + 149*T1^4*T2^6 - 138*T1^5*T2^6 + 
      397*T1^6*T2^6 + 43*T1^7*T2^6 + 397*T1^8*T2^6 - 138*T1^9*T2^6 + 
      149*T1^10*T2^6 - 43*T1^11*T2^6 + 44*T1^12*T2^6 + 24*T1^13*T2^6 + 
      9*T1^14*T2^6 - 4*T2^7 - 20*T1*T2^7 - 47*T1^2*T2^7 - 34*T1^3*T2^7 + 
      22*T1^4*T2^7 - 138*T1^5*T2^7 + 43*T1^6*T2^7 - 436*T1^7*T2^7 - 
      436*T1^8*T2^7 + 43*T1^9*T2^7 - 138*T1^10*T2^7 + 22*T1^11*T2^7 - 
      34*T1^12*T2^7 - 47*T1^13*T2^7 - 20*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 
      12*T1*T2^8 + 34*T1^2*T2^8 + 54*T1^3*T2^8 + 39*T1^4*T2^8 - 
      98*T1^5*T2^8 + 397*T1^6*T2^8 - 436*T1^7*T2^8 + 1344*T1^8*T2^8 - 
      436*T1^9*T2^8 + 397*T1^10*T2^8 - 98*T1^11*T2^8 + 39*T1^12*T2^8 + 
      54*T1^13*T2^8 + 34*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 
      4*T1*T2^9 - 20*T1^2*T2^9 - 47*T1^3*T2^9 - 34*T1^4*T2^9 + 22*T1^5*T2^9 - 
      138*T1^6*T2^9 + 43*T1^7*T2^9 - 436*T1^8*T2^9 - 436*T1^9*T2^9 + 
      43*T1^10*T2^9 - 138*T1^11*T2^9 + 22*T1^12*T2^9 - 34*T1^13*T2^9 - 
      47*T1^14*T2^9 - 20*T1^15*T2^9 - 4*T1^16*T2^9 + 9*T1^2*T2^10 + 
      24*T1^3*T2^10 + 44*T1^4*T2^10 - 43*T1^5*T2^10 + 149*T1^6*T2^10 - 
      138*T1^7*T2^10 + 397*T1^8*T2^10 + 43*T1^9*T2^10 + 397*T1^10*T2^10 - 
      138*T1^11*T2^10 + 149*T1^12*T2^10 - 43*T1^13*T2^10 + 44*T1^14*T2^10 + 
      24*T1^15*T2^10 + 9*T1^16*T2^10 - 15*T1^3*T2^11 - 16*T1^4*T2^11 - 
      2*T1^5*T2^11 - 43*T1^6*T2^11 + 22*T1^7*T2^11 - 98*T1^8*T2^11 - 
      138*T1^9*T2^11 - 138*T1^10*T2^11 - 98*T1^11*T2^11 + 22*T1^12*T2^11 - 
      43*T1^13*T2^11 - 2*T1^14*T2^11 - 16*T1^15*T2^11 - 15*T1^16*T2^11 + 
      19*T1^4*T2^12 - 16*T1^5*T2^12 + 44*T1^6*T2^12 - 34*T1^7*T2^12 + 
      39*T1^8*T2^12 + 22*T1^9*T2^12 + 149*T1^10*T2^12 + 22*T1^11*T2^12 + 
      39*T1^12*T2^12 - 34*T1^13*T2^12 + 44*T1^14*T2^12 - 16*T1^15*T2^12 + 
      19*T1^16*T2^12 - 15*T1^5*T2^13 + 24*T1^6*T2^13 - 47*T1^7*T2^13 + 
      54*T1^8*T2^13 - 34*T1^9*T2^13 - 43*T1^10*T2^13 - 43*T1^11*T2^13 - 
      34*T1^12*T2^13 + 54*T1^13*T2^13 - 47*T1^14*T2^13 + 24*T1^15*T2^13 - 
      15*T1^16*T2^13 + 9*T1^6*T2^14 - 20*T1^7*T2^14 + 34*T1^8*T2^14 - 
      47*T1^9*T2^14 + 44*T1^10*T2^14 - 2*T1^11*T2^14 + 44*T1^12*T2^14 - 
      47*T1^13*T2^14 + 34*T1^14*T2^14 - 20*T1^15*T2^14 + 9*T1^16*T2^14 - 
      4*T1^7*T2^15 + 12*T1^8*T2^15 - 20*T1^9*T2^15 + 24*T1^10*T2^15 - 
      16*T1^11*T2^15 - 16*T1^12*T2^15 + 24*T1^13*T2^15 - 20*T1^14*T2^15 + 
      12*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 
      9*T1^10*T2^16 - 15*T1^11*T2^16 + 19*T1^12*T2^16 - 15*T1^13*T2^16 + 
      9*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 1171] -> 
  {(4 - 15*T + 25*T^2 - 27*T^3 + 25*T^4 - 15*T^5 + 4*T^6)/T^3, 
   (48 - 176*T1 + 284*T1^2 - 304*T1^3 + 284*T1^4 - 176*T1^5 + 48*T1^6 - 
     176*T2 + 468*T1*T2 - 393*T1^2*T2 + 73*T1^3*T2 + 73*T1^4*T2 - 
     393*T1^5*T2 + 468*T1^6*T2 - 176*T1^7*T2 + 284*T2^2 - 393*T1*T2^2 - 
     492*T1^2*T2^2 + 1258*T1^3*T2^2 - 1162*T1^4*T2^2 + 1258*T1^5*T2^2 - 
     492*T1^6*T2^2 - 393*T1^7*T2^2 + 284*T1^8*T2^2 - 304*T2^3 + 73*T1*T2^3 + 
     1258*T1^2*T2^3 - 1380*T1^3*T2^3 + 257*T1^4*T2^3 + 257*T1^5*T2^3 - 
     1380*T1^6*T2^3 + 1258*T1^7*T2^3 + 73*T1^8*T2^3 - 304*T1^9*T2^3 + 
     284*T2^4 + 73*T1*T2^4 - 1162*T1^2*T2^4 + 257*T1^3*T2^4 + 
     1386*T1^4*T2^4 - 1636*T1^5*T2^4 + 1386*T1^6*T2^4 + 257*T1^7*T2^4 - 
     1162*T1^8*T2^4 + 73*T1^9*T2^4 + 284*T1^10*T2^4 - 176*T2^5 - 
     393*T1*T2^5 + 1258*T1^2*T2^5 + 257*T1^3*T2^5 - 1636*T1^4*T2^5 + 
     814*T1^5*T2^5 + 814*T1^6*T2^5 - 1636*T1^7*T2^5 + 257*T1^8*T2^5 + 
     1258*T1^9*T2^5 - 393*T1^10*T2^5 - 176*T1^11*T2^5 + 48*T2^6 + 
     468*T1*T2^6 - 492*T1^2*T2^6 - 1380*T1^3*T2^6 + 1386*T1^4*T2^6 + 
     814*T1^5*T2^6 - 2088*T1^6*T2^6 + 814*T1^7*T2^6 + 1386*T1^8*T2^6 - 
     1380*T1^9*T2^6 - 492*T1^10*T2^6 + 468*T1^11*T2^6 + 48*T1^12*T2^6 - 
     176*T1*T2^7 - 393*T1^2*T2^7 + 1258*T1^3*T2^7 + 257*T1^4*T2^7 - 
     1636*T1^5*T2^7 + 814*T1^6*T2^7 + 814*T1^7*T2^7 - 1636*T1^8*T2^7 + 
     257*T1^9*T2^7 + 1258*T1^10*T2^7 - 393*T1^11*T2^7 - 176*T1^12*T2^7 + 
     284*T1^2*T2^8 + 73*T1^3*T2^8 - 1162*T1^4*T2^8 + 257*T1^5*T2^8 + 
     1386*T1^6*T2^8 - 1636*T1^7*T2^8 + 1386*T1^8*T2^8 + 257*T1^9*T2^8 - 
     1162*T1^10*T2^8 + 73*T1^11*T2^8 + 284*T1^12*T2^8 - 304*T1^3*T2^9 + 
     73*T1^4*T2^9 + 1258*T1^5*T2^9 - 1380*T1^6*T2^9 + 257*T1^7*T2^9 + 
     257*T1^8*T2^9 - 1380*T1^9*T2^9 + 1258*T1^10*T2^9 + 73*T1^11*T2^9 - 
     304*T1^12*T2^9 + 284*T1^4*T2^10 - 393*T1^5*T2^10 - 492*T1^6*T2^10 + 
     1258*T1^7*T2^10 - 1162*T1^8*T2^10 + 1258*T1^9*T2^10 - 492*T1^10*T2^10 - 
     393*T1^11*T2^10 + 284*T1^12*T2^10 - 176*T1^5*T2^11 + 468*T1^6*T2^11 - 
     393*T1^7*T2^11 + 73*T1^8*T2^11 + 73*T1^9*T2^11 - 393*T1^10*T2^11 + 
     468*T1^11*T2^11 - 176*T1^12*T2^11 + 48*T1^6*T2^12 - 176*T1^7*T2^12 + 
     284*T1^8*T2^12 - 304*T1^9*T2^12 + 284*T1^10*T2^12 - 176*T1^11*T2^12 + 
     48*T1^12*T2^12)/(T1^6*T2^6)}, 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, -((1 - 4*T1 + 9*T1^2 - 14*T1^3 + 17*T1^4 - 14*T1^5 + 9*T1^6 - 
      4*T1^7 + T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 19*T1^3*T2 - 
      11*T1^4*T2 - 11*T1^5*T2 + 19*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 
      4*T1^9*T2 + 9*T2^2 - 20*T1*T2^2 + 33*T1^2*T2^2 - 46*T1^3*T2^2 + 
      94*T1^4*T2^2 - 101*T1^5*T2^2 + 94*T1^6*T2^2 - 46*T1^7*T2^2 + 
      33*T1^8*T2^2 - 20*T1^9*T2^2 + 9*T1^10*T2^2 - 14*T2^3 + 19*T1*T2^3 - 
      46*T1^2*T2^3 + 100*T1^3*T2^3 - 233*T1^4*T2^3 + 102*T1^5*T2^3 + 
      102*T1^6*T2^3 - 233*T1^7*T2^3 + 100*T1^8*T2^3 - 46*T1^9*T2^3 + 
      19*T1^10*T2^3 - 14*T1^11*T2^3 + 17*T2^4 - 11*T1*T2^4 + 94*T1^2*T2^4 - 
      233*T1^3*T2^4 + 429*T1^4*T2^4 + 55*T1^5*T2^4 - 271*T1^6*T2^4 + 
      55*T1^7*T2^4 + 429*T1^8*T2^4 - 233*T1^9*T2^4 + 94*T1^10*T2^4 - 
      11*T1^11*T2^4 + 17*T1^12*T2^4 - 14*T2^5 - 11*T1*T2^5 - 101*T1^2*T2^5 + 
      102*T1^3*T2^5 + 55*T1^4*T2^5 - 1036*T1^5*T2^5 + 490*T1^6*T2^5 + 
      490*T1^7*T2^5 - 1036*T1^8*T2^5 + 55*T1^9*T2^5 + 102*T1^10*T2^5 - 
      101*T1^11*T2^5 - 11*T1^12*T2^5 - 14*T1^13*T2^5 + 9*T2^6 + 19*T1*T2^6 + 
      94*T1^2*T2^6 + 102*T1^3*T2^6 - 271*T1^4*T2^6 + 490*T1^5*T2^6 + 
      1798*T1^6*T2^6 - 2558*T1^7*T2^6 + 1798*T1^8*T2^6 + 490*T1^9*T2^6 - 
      271*T1^10*T2^6 + 102*T1^11*T2^6 + 94*T1^12*T2^6 + 19*T1^13*T2^6 + 
      9*T1^14*T2^6 - 4*T2^7 - 20*T1*T2^7 - 46*T1^2*T2^7 - 233*T1^3*T2^7 + 
      55*T1^4*T2^7 + 490*T1^5*T2^7 - 2558*T1^6*T2^7 + 918*T1^7*T2^7 + 
      918*T1^8*T2^7 - 2558*T1^9*T2^7 + 490*T1^10*T2^7 + 55*T1^11*T2^7 - 
      233*T1^12*T2^7 - 46*T1^13*T2^7 - 20*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 
      12*T1*T2^8 + 33*T1^2*T2^8 + 100*T1^3*T2^8 + 429*T1^4*T2^8 - 
      1036*T1^5*T2^8 + 1798*T1^6*T2^8 + 918*T1^7*T2^8 - 1344*T1^8*T2^8 + 
      918*T1^9*T2^8 + 1798*T1^10*T2^8 - 1036*T1^11*T2^8 + 429*T1^12*T2^8 + 
      100*T1^13*T2^8 + 33*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 
      4*T1*T2^9 - 20*T1^2*T2^9 - 46*T1^3*T2^9 - 233*T1^4*T2^9 + 
      55*T1^5*T2^9 + 490*T1^6*T2^9 - 2558*T1^7*T2^9 + 918*T1^8*T2^9 + 
      918*T1^9*T2^9 - 2558*T1^10*T2^9 + 490*T1^11*T2^9 + 55*T1^12*T2^9 - 
      233*T1^13*T2^9 - 46*T1^14*T2^9 - 20*T1^15*T2^9 - 4*T1^16*T2^9 + 
      9*T1^2*T2^10 + 19*T1^3*T2^10 + 94*T1^4*T2^10 + 102*T1^5*T2^10 - 
      271*T1^6*T2^10 + 490*T1^7*T2^10 + 1798*T1^8*T2^10 - 2558*T1^9*T2^10 + 
      1798*T1^10*T2^10 + 490*T1^11*T2^10 - 271*T1^12*T2^10 + 
      102*T1^13*T2^10 + 94*T1^14*T2^10 + 19*T1^15*T2^10 + 9*T1^16*T2^10 - 
      14*T1^3*T2^11 - 11*T1^4*T2^11 - 101*T1^5*T2^11 + 102*T1^6*T2^11 + 
      55*T1^7*T2^11 - 1036*T1^8*T2^11 + 490*T1^9*T2^11 + 490*T1^10*T2^11 - 
      1036*T1^11*T2^11 + 55*T1^12*T2^11 + 102*T1^13*T2^11 - 101*T1^14*T2^11 - 
      11*T1^15*T2^11 - 14*T1^16*T2^11 + 17*T1^4*T2^12 - 11*T1^5*T2^12 + 
      94*T1^6*T2^12 - 233*T1^7*T2^12 + 429*T1^8*T2^12 + 55*T1^9*T2^12 - 
      271*T1^10*T2^12 + 55*T1^11*T2^12 + 429*T1^12*T2^12 - 233*T1^13*T2^12 + 
      94*T1^14*T2^12 - 11*T1^15*T2^12 + 17*T1^16*T2^12 - 14*T1^5*T2^13 + 
      19*T1^6*T2^13 - 46*T1^7*T2^13 + 100*T1^8*T2^13 - 233*T1^9*T2^13 + 
      102*T1^10*T2^13 + 102*T1^11*T2^13 - 233*T1^12*T2^13 + 100*T1^13*T2^13 - 
      46*T1^14*T2^13 + 19*T1^15*T2^13 - 14*T1^16*T2^13 + 9*T1^6*T2^14 - 
      20*T1^7*T2^14 + 33*T1^8*T2^14 - 46*T1^9*T2^14 + 94*T1^10*T2^14 - 
      101*T1^11*T2^14 + 94*T1^12*T2^14 - 46*T1^13*T2^14 + 33*T1^14*T2^14 - 
      20*T1^15*T2^14 + 9*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 
      20*T1^9*T2^15 + 19*T1^10*T2^15 - 11*T1^11*T2^15 - 11*T1^12*T2^15 + 
      19*T1^13*T2^15 - 20*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + 
      T1^8*T2^16 - 4*T1^9*T2^16 + 9*T1^10*T2^16 - 14*T1^11*T2^16 + 
      17*T1^12*T2^16 - 14*T1^13*T2^16 + 9*T1^14*T2^16 - 4*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 1173] -> 
  {(3 - 21*T + 55*T^2 - 73*T^3 + 55*T^4 - 21*T^5 + 3*T^6)/T^3, 
   (30 - 210*T1 + 543*T1^2 - 714*T1^3 + 543*T1^4 - 210*T1^5 + 30*T1^6 - 
     210*T2 + 1258*T1*T2 - 2322*T1^2*T2 + 1192*T1^3*T2 + 1192*T1^4*T2 - 
     2322*T1^5*T2 + 1258*T1^6*T2 - 210*T1^7*T2 + 543*T2^2 - 2322*T1*T2^2 + 
     112*T1^2*T2^2 + 9627*T1^3*T2^2 - 14972*T1^4*T2^2 + 9627*T1^5*T2^2 + 
     112*T1^6*T2^2 - 2322*T1^7*T2^2 + 543*T1^8*T2^2 - 714*T2^3 + 
     1192*T1*T2^3 + 9627*T1^2*T2^3 - 25068*T1^3*T2^3 + 13401*T1^4*T2^3 + 
     13401*T1^5*T2^3 - 25068*T1^6*T2^3 + 9627*T1^7*T2^3 + 1192*T1^8*T2^3 - 
     714*T1^9*T2^3 + 543*T2^4 + 1192*T1*T2^4 - 14972*T1^2*T2^4 + 
     13401*T1^3*T2^4 + 32362*T1^4*T2^4 - 58334*T1^5*T2^4 + 32362*T1^6*T2^4 + 
     13401*T1^7*T2^4 - 14972*T1^8*T2^4 + 1192*T1^9*T2^4 + 543*T1^10*T2^4 - 
     210*T2^5 - 2322*T1*T2^5 + 9627*T1^2*T2^5 + 13401*T1^3*T2^5 - 
     58334*T1^4*T2^5 + 32706*T1^5*T2^5 + 32706*T1^6*T2^5 - 58334*T1^7*T2^5 + 
     13401*T1^8*T2^5 + 9627*T1^9*T2^5 - 2322*T1^10*T2^5 - 210*T1^11*T2^5 + 
     30*T2^6 + 1258*T1*T2^6 + 112*T1^2*T2^6 - 25068*T1^3*T2^6 + 
     32362*T1^4*T2^6 + 32706*T1^5*T2^6 - 71052*T1^6*T2^6 + 32706*T1^7*T2^6 + 
     32362*T1^8*T2^6 - 25068*T1^9*T2^6 + 112*T1^10*T2^6 + 1258*T1^11*T2^6 + 
     30*T1^12*T2^6 - 210*T1*T2^7 - 2322*T1^2*T2^7 + 9627*T1^3*T2^7 + 
     13401*T1^4*T2^7 - 58334*T1^5*T2^7 + 32706*T1^6*T2^7 + 32706*T1^7*T2^7 - 
     58334*T1^8*T2^7 + 13401*T1^9*T2^7 + 9627*T1^10*T2^7 - 2322*T1^11*T2^7 - 
     210*T1^12*T2^7 + 543*T1^2*T2^8 + 1192*T1^3*T2^8 - 14972*T1^4*T2^8 + 
     13401*T1^5*T2^8 + 32362*T1^6*T2^8 - 58334*T1^7*T2^8 + 32362*T1^8*T2^8 + 
     13401*T1^9*T2^8 - 14972*T1^10*T2^8 + 1192*T1^11*T2^8 + 543*T1^12*T2^8 - 
     714*T1^3*T2^9 + 1192*T1^4*T2^9 + 9627*T1^5*T2^9 - 25068*T1^6*T2^9 + 
     13401*T1^7*T2^9 + 13401*T1^8*T2^9 - 25068*T1^9*T2^9 + 9627*T1^10*T2^9 + 
     1192*T1^11*T2^9 - 714*T1^12*T2^9 + 543*T1^4*T2^10 - 2322*T1^5*T2^10 + 
     112*T1^6*T2^10 + 9627*T1^7*T2^10 - 14972*T1^8*T2^10 + 9627*T1^9*T2^10 + 
     112*T1^10*T2^10 - 2322*T1^11*T2^10 + 543*T1^12*T2^10 - 210*T1^5*T2^11 + 
     1258*T1^6*T2^11 - 2322*T1^7*T2^11 + 1192*T1^8*T2^11 + 1192*T1^9*T2^11 - 
     2322*T1^10*T2^11 + 1258*T1^11*T2^11 - 210*T1^12*T2^11 + 30*T1^6*T2^12 - 
     210*T1^7*T2^12 + 543*T1^8*T2^12 - 714*T1^9*T2^12 + 543*T1^10*T2^12 - 
     210*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6)}, 
 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, (1 - 4*T1 + 9*T1^2 - 14*T1^3 + 17*T1^4 - 14*T1^5 + 9*T1^6 - 4*T1^7 + 
     T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 20*T1^3*T2 - 12*T1^4*T2 - 
     12*T1^5*T2 + 20*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 9*T2^2 - 
     20*T1*T2^2 + 18*T1^2*T2^2 - 2*T1^3*T2^2 + 2*T1^4*T2^2 + 16*T1^5*T2^2 + 
     2*T1^6*T2^2 - 2*T1^7*T2^2 + 18*T1^8*T2^2 - 20*T1^9*T2^2 + 9*T1^10*T2^2 - 
     14*T2^3 + 20*T1*T2^3 - 2*T1^2*T2^3 + 2*T1^3*T2^3 - 62*T1^4*T2^3 + 
     14*T1^5*T2^3 + 14*T1^6*T2^3 - 62*T1^7*T2^3 + 2*T1^8*T2^3 - 2*T1^9*T2^3 + 
     20*T1^10*T2^3 - 14*T1^11*T2^3 + 17*T2^4 - 12*T1*T2^4 + 2*T1^2*T2^4 - 
     62*T1^3*T2^4 + 159*T1^4*T2^4 + 41*T1^5*T2^4 - 77*T1^6*T2^4 + 
     41*T1^7*T2^4 + 159*T1^8*T2^4 - 62*T1^9*T2^4 + 2*T1^10*T2^4 - 
     12*T1^11*T2^4 + 17*T1^12*T2^4 - 14*T2^5 - 12*T1*T2^5 + 16*T1^2*T2^5 + 
     14*T1^3*T2^5 + 41*T1^4*T2^5 - 426*T1^5*T2^5 + 147*T1^6*T2^5 + 
     147*T1^7*T2^5 - 426*T1^8*T2^5 + 41*T1^9*T2^5 + 14*T1^10*T2^5 + 
     16*T1^11*T2^5 - 12*T1^12*T2^5 - 14*T1^13*T2^5 + 9*T2^6 + 20*T1*T2^6 + 
     2*T1^2*T2^6 + 14*T1^3*T2^6 - 77*T1^4*T2^6 + 147*T1^5*T2^6 + 
     780*T1^6*T2^6 - 956*T1^7*T2^6 + 780*T1^8*T2^6 + 147*T1^9*T2^6 - 
     77*T1^10*T2^6 + 14*T1^11*T2^6 + 2*T1^12*T2^6 + 20*T1^13*T2^6 + 
     9*T1^14*T2^6 - 4*T2^7 - 20*T1*T2^7 - 2*T1^2*T2^7 - 62*T1^3*T2^7 + 
     41*T1^4*T2^7 + 147*T1^5*T2^7 - 956*T1^6*T2^7 + 266*T1^7*T2^7 + 
     266*T1^8*T2^7 - 956*T1^9*T2^7 + 147*T1^10*T2^7 + 41*T1^11*T2^7 - 
     62*T1^12*T2^7 - 2*T1^13*T2^7 - 20*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 
     12*T1*T2^8 + 18*T1^2*T2^8 + 2*T1^3*T2^8 + 159*T1^4*T2^8 - 
     426*T1^5*T2^8 + 780*T1^6*T2^8 + 266*T1^7*T2^8 - 300*T1^8*T2^8 + 
     266*T1^9*T2^8 + 780*T1^10*T2^8 - 426*T1^11*T2^8 + 159*T1^12*T2^8 + 
     2*T1^13*T2^8 + 18*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 
     20*T1^2*T2^9 - 2*T1^3*T2^9 - 62*T1^4*T2^9 + 41*T1^5*T2^9 + 
     147*T1^6*T2^9 - 956*T1^7*T2^9 + 266*T1^8*T2^9 + 266*T1^9*T2^9 - 
     956*T1^10*T2^9 + 147*T1^11*T2^9 + 41*T1^12*T2^9 - 62*T1^13*T2^9 - 
     2*T1^14*T2^9 - 20*T1^15*T2^9 - 4*T1^16*T2^9 + 9*T1^2*T2^10 + 
     20*T1^3*T2^10 + 2*T1^4*T2^10 + 14*T1^5*T2^10 - 77*T1^6*T2^10 + 
     147*T1^7*T2^10 + 780*T1^8*T2^10 - 956*T1^9*T2^10 + 780*T1^10*T2^10 + 
     147*T1^11*T2^10 - 77*T1^12*T2^10 + 14*T1^13*T2^10 + 2*T1^14*T2^10 + 
     20*T1^15*T2^10 + 9*T1^16*T2^10 - 14*T1^3*T2^11 - 12*T1^4*T2^11 + 
     16*T1^5*T2^11 + 14*T1^6*T2^11 + 41*T1^7*T2^11 - 426*T1^8*T2^11 + 
     147*T1^9*T2^11 + 147*T1^10*T2^11 - 426*T1^11*T2^11 + 41*T1^12*T2^11 + 
     14*T1^13*T2^11 + 16*T1^14*T2^11 - 12*T1^15*T2^11 - 14*T1^16*T2^11 + 
     17*T1^4*T2^12 - 12*T1^5*T2^12 + 2*T1^6*T2^12 - 62*T1^7*T2^12 + 
     159*T1^8*T2^12 + 41*T1^9*T2^12 - 77*T1^10*T2^12 + 41*T1^11*T2^12 + 
     159*T1^12*T2^12 - 62*T1^13*T2^12 + 2*T1^14*T2^12 - 12*T1^15*T2^12 + 
     17*T1^16*T2^12 - 14*T1^5*T2^13 + 20*T1^6*T2^13 - 2*T1^7*T2^13 + 
     2*T1^8*T2^13 - 62*T1^9*T2^13 + 14*T1^10*T2^13 + 14*T1^11*T2^13 - 
     62*T1^12*T2^13 + 2*T1^13*T2^13 - 2*T1^14*T2^13 + 20*T1^15*T2^13 - 
     14*T1^16*T2^13 + 9*T1^6*T2^14 - 20*T1^7*T2^14 + 18*T1^8*T2^14 - 
     2*T1^9*T2^14 + 2*T1^10*T2^14 + 16*T1^11*T2^14 + 2*T1^12*T2^14 - 
     2*T1^13*T2^14 + 18*T1^14*T2^14 - 20*T1^15*T2^14 + 9*T1^16*T2^14 - 
     4*T1^7*T2^15 + 12*T1^8*T2^15 - 20*T1^9*T2^15 + 20*T1^10*T2^15 - 
     12*T1^11*T2^15 - 12*T1^12*T2^15 + 20*T1^13*T2^15 - 20*T1^14*T2^15 + 
     12*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 
     9*T1^10*T2^16 - 14*T1^11*T2^16 + 17*T1^12*T2^16 - 14*T1^13*T2^16 + 
     9*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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), -((9 - 44*T1 + 113*T1^2 - 198*T1^3 + 235*T1^4 - 198*T1^5 + 
      113*T1^6 - 44*T1^7 + 9*T1^8 - 44*T2 + 172*T1*T2 - 340*T1^2*T2 + 
      419*T1^3*T2 - 183*T1^4*T2 - 183*T1^5*T2 + 419*T1^6*T2 - 340*T1^7*T2 + 
      172*T1^8*T2 - 44*T1^9*T2 + 113*T2^2 - 340*T1*T2^2 + 473*T1^2*T2^2 - 
      290*T1^3*T2^2 - 468*T1^4*T2^2 + 789*T1^5*T2^2 - 468*T1^6*T2^2 - 
      290*T1^7*T2^2 + 473*T1^8*T2^2 - 340*T1^9*T2^2 + 113*T1^10*T2^2 - 
      198*T2^3 + 419*T1*T2^3 - 290*T1^2*T2^3 - 234*T1^3*T2^3 + 
      1234*T1^4*T2^3 - 541*T1^5*T2^3 - 541*T1^6*T2^3 + 1234*T1^7*T2^3 - 
      234*T1^8*T2^3 - 290*T1^9*T2^3 + 419*T1^10*T2^3 - 198*T1^11*T2^3 + 
      235*T2^4 - 183*T1*T2^4 - 468*T1^2*T2^4 + 1234*T1^3*T2^4 - 
      1975*T1^4*T2^4 - 254*T1^5*T2^4 + 885*T1^6*T2^4 - 254*T1^7*T2^4 - 
      1975*T1^8*T2^4 + 1234*T1^9*T2^4 - 468*T1^10*T2^4 - 183*T1^11*T2^4 + 
      235*T1^12*T2^4 - 198*T2^5 - 183*T1*T2^5 + 789*T1^2*T2^5 - 
      541*T1^3*T2^5 - 254*T1^4*T2^5 + 3664*T1^5*T2^5 - 1384*T1^6*T2^5 - 
      1384*T1^7*T2^5 + 3664*T1^8*T2^5 - 254*T1^9*T2^5 - 541*T1^10*T2^5 + 
      789*T1^11*T2^5 - 183*T1^12*T2^5 - 198*T1^13*T2^5 + 113*T2^6 + 
      419*T1*T2^6 - 468*T1^2*T2^6 - 541*T1^3*T2^6 + 885*T1^4*T2^6 - 
      1384*T1^5*T2^6 - 5973*T1^6*T2^6 + 7891*T1^7*T2^6 - 5973*T1^8*T2^6 - 
      1384*T1^9*T2^6 + 885*T1^10*T2^6 - 541*T1^11*T2^6 - 468*T1^12*T2^6 + 
      419*T1^13*T2^6 + 113*T1^14*T2^6 - 44*T2^7 - 340*T1*T2^7 - 
      290*T1^2*T2^7 + 1234*T1^3*T2^7 - 254*T1^4*T2^7 - 1384*T1^5*T2^7 + 
      7891*T1^6*T2^7 - 2876*T1^7*T2^7 - 2876*T1^8*T2^7 + 7891*T1^9*T2^7 - 
      1384*T1^10*T2^7 - 254*T1^11*T2^7 + 1234*T1^12*T2^7 - 290*T1^13*T2^7 - 
      340*T1^14*T2^7 - 44*T1^15*T2^7 + 9*T2^8 + 172*T1*T2^8 + 473*T1^2*T2^8 - 
      234*T1^3*T2^8 - 1975*T1^4*T2^8 + 3664*T1^5*T2^8 - 5973*T1^6*T2^8 - 
      2876*T1^7*T2^8 + 4872*T1^8*T2^8 - 2876*T1^9*T2^8 - 5973*T1^10*T2^8 + 
      3664*T1^11*T2^8 - 1975*T1^12*T2^8 - 234*T1^13*T2^8 + 473*T1^14*T2^8 + 
      172*T1^15*T2^8 + 9*T1^16*T2^8 - 44*T1*T2^9 - 340*T1^2*T2^9 - 
      290*T1^3*T2^9 + 1234*T1^4*T2^9 - 254*T1^5*T2^9 - 1384*T1^6*T2^9 + 
      7891*T1^7*T2^9 - 2876*T1^8*T2^9 - 2876*T1^9*T2^9 + 7891*T1^10*T2^9 - 
      1384*T1^11*T2^9 - 254*T1^12*T2^9 + 1234*T1^13*T2^9 - 290*T1^14*T2^9 - 
      340*T1^15*T2^9 - 44*T1^16*T2^9 + 113*T1^2*T2^10 + 419*T1^3*T2^10 - 
      468*T1^4*T2^10 - 541*T1^5*T2^10 + 885*T1^6*T2^10 - 1384*T1^7*T2^10 - 
      5973*T1^8*T2^10 + 7891*T1^9*T2^10 - 5973*T1^10*T2^10 - 
      1384*T1^11*T2^10 + 885*T1^12*T2^10 - 541*T1^13*T2^10 - 
      468*T1^14*T2^10 + 419*T1^15*T2^10 + 113*T1^16*T2^10 - 198*T1^3*T2^11 - 
      183*T1^4*T2^11 + 789*T1^5*T2^11 - 541*T1^6*T2^11 - 254*T1^7*T2^11 + 
      3664*T1^8*T2^11 - 1384*T1^9*T2^11 - 1384*T1^10*T2^11 + 
      3664*T1^11*T2^11 - 254*T1^12*T2^11 - 541*T1^13*T2^11 + 
      789*T1^14*T2^11 - 183*T1^15*T2^11 - 198*T1^16*T2^11 + 235*T1^4*T2^12 - 
      183*T1^5*T2^12 - 468*T1^6*T2^12 + 1234*T1^7*T2^12 - 1975*T1^8*T2^12 - 
      254*T1^9*T2^12 + 885*T1^10*T2^12 - 254*T1^11*T2^12 - 1975*T1^12*T2^12 + 
      1234*T1^13*T2^12 - 468*T1^14*T2^12 - 183*T1^15*T2^12 + 
      235*T1^16*T2^12 - 198*T1^5*T2^13 + 419*T1^6*T2^13 - 290*T1^7*T2^13 - 
      234*T1^8*T2^13 + 1234*T1^9*T2^13 - 541*T1^10*T2^13 - 541*T1^11*T2^13 + 
      1234*T1^12*T2^13 - 234*T1^13*T2^13 - 290*T1^14*T2^13 + 
      419*T1^15*T2^13 - 198*T1^16*T2^13 + 113*T1^6*T2^14 - 340*T1^7*T2^14 + 
      473*T1^8*T2^14 - 290*T1^9*T2^14 - 468*T1^10*T2^14 + 789*T1^11*T2^14 - 
      468*T1^12*T2^14 - 290*T1^13*T2^14 + 473*T1^14*T2^14 - 340*T1^15*T2^14 + 
      113*T1^16*T2^14 - 44*T1^7*T2^15 + 172*T1^8*T2^15 - 340*T1^9*T2^15 + 
      419*T1^10*T2^15 - 183*T1^11*T2^15 - 183*T1^12*T2^15 + 419*T1^13*T2^15 - 
      340*T1^14*T2^15 + 172*T1^15*T2^15 - 44*T1^16*T2^15 + 9*T1^8*T2^16 - 
      44*T1^9*T2^16 + 113*T1^10*T2^16 - 198*T1^11*T2^16 + 235*T1^12*T2^16 - 
      198*T1^13*T2^16 + 113*T1^14*T2^16 - 44*T1^15*T2^16 + 9*T1^16*T2^16)/
     (T1^8*T2^8))}, 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, -((1 - 4*T1 + 9*T1^2 - 15*T1^3 + 20*T1^4 - 21*T1^5 + 
      20*T1^6 - 15*T1^7 + 9*T1^8 - 4*T1^9 + T1^10 - 4*T2 + 12*T1*T2 - 
      20*T1^2*T2 + 24*T1^3*T2 - 20*T1^4*T2 + 4*T1^5*T2 + 4*T1^6*T2 - 
      20*T1^7*T2 + 24*T1^8*T2 - 20*T1^9*T2 + 12*T1^10*T2 - 4*T1^11*T2 + 
      9*T2^2 - 20*T1*T2^2 + 27*T1^2*T2^2 - 29*T1^3*T2^2 + 22*T1^4*T2^2 + 
      T1^5*T2^2 + 15*T1^6*T2^2 + T1^7*T2^2 + 22*T1^8*T2^2 - 29*T1^9*T2^2 + 
      27*T1^10*T2^2 - 20*T1^11*T2^2 + 9*T1^12*T2^2 - 15*T2^3 + 24*T1*T2^3 - 
      29*T1^2*T2^3 + 30*T1^3*T2^3 - 16*T1^4*T2^3 - 25*T1^5*T2^3 - 
      22*T1^6*T2^3 - 22*T1^7*T2^3 - 25*T1^8*T2^3 - 16*T1^9*T2^3 + 
      30*T1^10*T2^3 - 29*T1^11*T2^3 + 24*T1^12*T2^3 - 15*T1^13*T2^3 + 
      20*T2^4 - 20*T1*T2^4 + 22*T1^2*T2^4 - 16*T1^3*T2^4 - 13*T1^4*T2^4 + 
      72*T1^5*T2^4 + 27*T1^6*T2^4 + 61*T1^7*T2^4 + 27*T1^8*T2^4 + 
      72*T1^9*T2^4 - 13*T1^10*T2^4 - 16*T1^11*T2^4 + 22*T1^12*T2^4 - 
      20*T1^13*T2^4 + 20*T1^14*T2^4 - 21*T2^5 + 4*T1*T2^5 + T1^2*T2^5 - 
      25*T1^3*T2^5 + 72*T1^4*T2^5 - 126*T1^5*T2^5 - 46*T1^6*T2^5 - 
      83*T1^7*T2^5 - 83*T1^8*T2^5 - 46*T1^9*T2^5 - 126*T1^10*T2^5 + 
      72*T1^11*T2^5 - 25*T1^12*T2^5 + T1^13*T2^5 + 4*T1^14*T2^5 - 
      21*T1^15*T2^5 + 20*T2^6 + 4*T1*T2^6 + 15*T1^2*T2^6 - 22*T1^3*T2^6 + 
      27*T1^4*T2^6 - 46*T1^5*T2^6 + 286*T1^6*T2^6 - 106*T1^7*T2^6 + 
      312*T1^8*T2^6 - 106*T1^9*T2^6 + 286*T1^10*T2^6 - 46*T1^11*T2^6 + 
      27*T1^12*T2^6 - 22*T1^13*T2^6 + 15*T1^14*T2^6 + 4*T1^15*T2^6 + 
      20*T1^16*T2^6 - 15*T2^7 - 20*T1*T2^7 + T1^2*T2^7 - 22*T1^3*T2^7 + 
      61*T1^4*T2^7 - 83*T1^5*T2^7 - 106*T1^6*T2^7 - 146*T1^7*T2^7 - 
      92*T1^8*T2^7 - 92*T1^9*T2^7 - 146*T1^10*T2^7 - 106*T1^11*T2^7 - 
      83*T1^12*T2^7 + 61*T1^13*T2^7 - 22*T1^14*T2^7 + T1^15*T2^7 - 
      20*T1^16*T2^7 - 15*T1^17*T2^7 + 9*T2^8 + 24*T1*T2^8 + 22*T1^2*T2^8 - 
      25*T1^3*T2^8 + 27*T1^4*T2^8 - 83*T1^5*T2^8 + 312*T1^6*T2^8 - 
      92*T1^7*T2^8 + 426*T1^8*T2^8 - 298*T1^9*T2^8 + 426*T1^10*T2^8 - 
      92*T1^11*T2^8 + 312*T1^12*T2^8 - 83*T1^13*T2^8 + 27*T1^14*T2^8 - 
      25*T1^15*T2^8 + 22*T1^16*T2^8 + 24*T1^17*T2^8 + 9*T1^18*T2^8 - 4*T2^9 - 
      20*T1*T2^9 - 29*T1^2*T2^9 - 16*T1^3*T2^9 + 72*T1^4*T2^9 - 
      46*T1^5*T2^9 - 106*T1^6*T2^9 - 92*T1^7*T2^9 - 298*T1^8*T2^9 + 
      52*T1^9*T2^9 + 52*T1^10*T2^9 - 298*T1^11*T2^9 - 92*T1^12*T2^9 - 
      106*T1^13*T2^9 - 46*T1^14*T2^9 + 72*T1^15*T2^9 - 16*T1^16*T2^9 - 
      29*T1^17*T2^9 - 20*T1^18*T2^9 - 4*T1^19*T2^9 + T2^10 + 12*T1*T2^10 + 
      27*T1^2*T2^10 + 30*T1^3*T2^10 - 13*T1^4*T2^10 - 126*T1^5*T2^10 + 
      286*T1^6*T2^10 - 146*T1^7*T2^10 + 426*T1^8*T2^10 + 52*T1^9*T2^10 - 
      120*T1^10*T2^10 + 52*T1^11*T2^10 + 426*T1^12*T2^10 - 146*T1^13*T2^10 + 
      286*T1^14*T2^10 - 126*T1^15*T2^10 - 13*T1^16*T2^10 + 30*T1^17*T2^10 + 
      27*T1^18*T2^10 + 12*T1^19*T2^10 + T1^20*T2^10 - 4*T1*T2^11 - 
      20*T1^2*T2^11 - 29*T1^3*T2^11 - 16*T1^4*T2^11 + 72*T1^5*T2^11 - 
      46*T1^6*T2^11 - 106*T1^7*T2^11 - 92*T1^8*T2^11 - 298*T1^9*T2^11 + 
      52*T1^10*T2^11 + 52*T1^11*T2^11 - 298*T1^12*T2^11 - 92*T1^13*T2^11 - 
      106*T1^14*T2^11 - 46*T1^15*T2^11 + 72*T1^16*T2^11 - 16*T1^17*T2^11 - 
      29*T1^18*T2^11 - 20*T1^19*T2^11 - 4*T1^20*T2^11 + 9*T1^2*T2^12 + 
      24*T1^3*T2^12 + 22*T1^4*T2^12 - 25*T1^5*T2^12 + 27*T1^6*T2^12 - 
      83*T1^7*T2^12 + 312*T1^8*T2^12 - 92*T1^9*T2^12 + 426*T1^10*T2^12 - 
      298*T1^11*T2^12 + 426*T1^12*T2^12 - 92*T1^13*T2^12 + 312*T1^14*T2^12 - 
      83*T1^15*T2^12 + 27*T1^16*T2^12 - 25*T1^17*T2^12 + 22*T1^18*T2^12 + 
      24*T1^19*T2^12 + 9*T1^20*T2^12 - 15*T1^3*T2^13 - 20*T1^4*T2^13 + 
      T1^5*T2^13 - 22*T1^6*T2^13 + 61*T1^7*T2^13 - 83*T1^8*T2^13 - 
      106*T1^9*T2^13 - 146*T1^10*T2^13 - 92*T1^11*T2^13 - 92*T1^12*T2^13 - 
      146*T1^13*T2^13 - 106*T1^14*T2^13 - 83*T1^15*T2^13 + 61*T1^16*T2^13 - 
      22*T1^17*T2^13 + T1^18*T2^13 - 20*T1^19*T2^13 - 15*T1^20*T2^13 + 
      20*T1^4*T2^14 + 4*T1^5*T2^14 + 15*T1^6*T2^14 - 22*T1^7*T2^14 + 
      27*T1^8*T2^14 - 46*T1^9*T2^14 + 286*T1^10*T2^14 - 106*T1^11*T2^14 + 
      312*T1^12*T2^14 - 106*T1^13*T2^14 + 286*T1^14*T2^14 - 46*T1^15*T2^14 + 
      27*T1^16*T2^14 - 22*T1^17*T2^14 + 15*T1^18*T2^14 + 4*T1^19*T2^14 + 
      20*T1^20*T2^14 - 21*T1^5*T2^15 + 4*T1^6*T2^15 + T1^7*T2^15 - 
      25*T1^8*T2^15 + 72*T1^9*T2^15 - 126*T1^10*T2^15 - 46*T1^11*T2^15 - 
      83*T1^12*T2^15 - 83*T1^13*T2^15 - 46*T1^14*T2^15 - 126*T1^15*T2^15 + 
      72*T1^16*T2^15 - 25*T1^17*T2^15 + T1^18*T2^15 + 4*T1^19*T2^15 - 
      21*T1^20*T2^15 + 20*T1^6*T2^16 - 20*T1^7*T2^16 + 22*T1^8*T2^16 - 
      16*T1^9*T2^16 - 13*T1^10*T2^16 + 72*T1^11*T2^16 + 27*T1^12*T2^16 + 
      61*T1^13*T2^16 + 27*T1^14*T2^16 + 72*T1^15*T2^16 - 13*T1^16*T2^16 - 
      16*T1^17*T2^16 + 22*T1^18*T2^16 - 20*T1^19*T2^16 + 20*T1^20*T2^16 - 
      15*T1^7*T2^17 + 24*T1^8*T2^17 - 29*T1^9*T2^17 + 30*T1^10*T2^17 - 
      16*T1^11*T2^17 - 25*T1^12*T2^17 - 22*T1^13*T2^17 - 22*T1^14*T2^17 - 
      25*T1^15*T2^17 - 16*T1^16*T2^17 + 30*T1^17*T2^17 - 29*T1^18*T2^17 + 
      24*T1^19*T2^17 - 15*T1^20*T2^17 + 9*T1^8*T2^18 - 20*T1^9*T2^18 + 
      27*T1^10*T2^18 - 29*T1^11*T2^18 + 22*T1^12*T2^18 + T1^13*T2^18 + 
      15*T1^14*T2^18 + T1^15*T2^18 + 22*T1^16*T2^18 - 29*T1^17*T2^18 + 
      27*T1^18*T2^18 - 20*T1^19*T2^18 + 9*T1^20*T2^18 - 4*T1^9*T2^19 + 
      12*T1^10*T2^19 - 20*T1^11*T2^19 + 24*T1^12*T2^19 - 20*T1^13*T2^19 + 
      4*T1^14*T2^19 + 4*T1^15*T2^19 - 20*T1^16*T2^19 + 24*T1^17*T2^19 - 
      20*T1^18*T2^19 + 12*T1^19*T2^19 - 4*T1^20*T2^19 + T1^10*T2^20 - 
      4*T1^11*T2^20 + 9*T1^12*T2^20 - 15*T1^13*T2^20 + 20*T1^14*T2^20 - 
      21*T1^15*T2^20 + 20*T1^16*T2^20 - 15*T1^17*T2^20 + 9*T1^18*T2^20 - 
      4*T1^19*T2^20 + T1^20*T2^20)/(T1^10*T2^10))}, 
 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, -((1 - 4*T1 + 9*T1^2 - 15*T1^3 + 19*T1^4 - 15*T1^5 + 9*T1^6 - 
      4*T1^7 + T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 24*T1^3*T2 - 
      16*T1^4*T2 - 16*T1^5*T2 + 24*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 
      4*T1^9*T2 + 9*T2^2 - 20*T1*T2^2 + 34*T1^2*T2^2 - 51*T1^3*T2^2 + 
      60*T1^4*T2^2 - 26*T1^5*T2^2 + 60*T1^6*T2^2 - 51*T1^7*T2^2 + 
      34*T1^8*T2^2 - 20*T1^9*T2^2 + 9*T1^10*T2^2 - 15*T2^3 + 24*T1*T2^3 - 
      51*T1^2*T2^3 + 74*T1^3*T2^3 - 85*T1^4*T2^3 - 10*T1^5*T2^3 - 
      10*T1^6*T2^3 - 85*T1^7*T2^3 + 74*T1^8*T2^3 - 51*T1^9*T2^3 + 
      24*T1^10*T2^3 - 15*T1^11*T2^3 + 19*T2^4 - 16*T1*T2^4 + 60*T1^2*T2^4 - 
      85*T1^3*T2^4 + 141*T1^4*T2^4 + 4*T1^5*T2^4 + 79*T1^6*T2^4 + 
      4*T1^7*T2^4 + 141*T1^8*T2^4 - 85*T1^9*T2^4 + 60*T1^10*T2^4 - 
      16*T1^11*T2^4 + 19*T1^12*T2^4 - 15*T2^5 - 16*T1*T2^5 - 26*T1^2*T2^5 - 
      10*T1^3*T2^5 + 4*T1^4*T2^5 - 274*T1^5*T2^5 - 2*T1^6*T2^5 - 
      2*T1^7*T2^5 - 274*T1^8*T2^5 + 4*T1^9*T2^5 - 10*T1^10*T2^5 - 
      26*T1^11*T2^5 - 16*T1^12*T2^5 - 15*T1^13*T2^5 + 9*T2^6 + 24*T1*T2^6 + 
      60*T1^2*T2^6 - 10*T1^3*T2^6 + 79*T1^4*T2^6 - 2*T1^5*T2^6 + 
      625*T1^6*T2^6 - 421*T1^7*T2^6 + 625*T1^8*T2^6 - 2*T1^9*T2^6 + 
      79*T1^10*T2^6 - 10*T1^11*T2^6 + 60*T1^12*T2^6 + 24*T1^13*T2^6 + 
      9*T1^14*T2^6 - 4*T2^7 - 20*T1*T2^7 - 51*T1^2*T2^7 - 85*T1^3*T2^7 + 
      4*T1^4*T2^7 - 2*T1^5*T2^7 - 421*T1^6*T2^7 - 212*T1^7*T2^7 - 
      212*T1^8*T2^7 - 421*T1^9*T2^7 - 2*T1^10*T2^7 + 4*T1^11*T2^7 - 
      85*T1^12*T2^7 - 51*T1^13*T2^7 - 20*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 
      12*T1*T2^8 + 34*T1^2*T2^8 + 74*T1^3*T2^8 + 141*T1^4*T2^8 - 
      274*T1^5*T2^8 + 625*T1^6*T2^8 - 212*T1^7*T2^8 + 960*T1^8*T2^8 - 
      212*T1^9*T2^8 + 625*T1^10*T2^8 - 274*T1^11*T2^8 + 141*T1^12*T2^8 + 
      74*T1^13*T2^8 + 34*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 
      4*T1*T2^9 - 20*T1^2*T2^9 - 51*T1^3*T2^9 - 85*T1^4*T2^9 + 4*T1^5*T2^9 - 
      2*T1^6*T2^9 - 421*T1^7*T2^9 - 212*T1^8*T2^9 - 212*T1^9*T2^9 - 
      421*T1^10*T2^9 - 2*T1^11*T2^9 + 4*T1^12*T2^9 - 85*T1^13*T2^9 - 
      51*T1^14*T2^9 - 20*T1^15*T2^9 - 4*T1^16*T2^9 + 9*T1^2*T2^10 + 
      24*T1^3*T2^10 + 60*T1^4*T2^10 - 10*T1^5*T2^10 + 79*T1^6*T2^10 - 
      2*T1^7*T2^10 + 625*T1^8*T2^10 - 421*T1^9*T2^10 + 625*T1^10*T2^10 - 
      2*T1^11*T2^10 + 79*T1^12*T2^10 - 10*T1^13*T2^10 + 60*T1^14*T2^10 + 
      24*T1^15*T2^10 + 9*T1^16*T2^10 - 15*T1^3*T2^11 - 16*T1^4*T2^11 - 
      26*T1^5*T2^11 - 10*T1^6*T2^11 + 4*T1^7*T2^11 - 274*T1^8*T2^11 - 
      2*T1^9*T2^11 - 2*T1^10*T2^11 - 274*T1^11*T2^11 + 4*T1^12*T2^11 - 
      10*T1^13*T2^11 - 26*T1^14*T2^11 - 16*T1^15*T2^11 - 15*T1^16*T2^11 + 
      19*T1^4*T2^12 - 16*T1^5*T2^12 + 60*T1^6*T2^12 - 85*T1^7*T2^12 + 
      141*T1^8*T2^12 + 4*T1^9*T2^12 + 79*T1^10*T2^12 + 4*T1^11*T2^12 + 
      141*T1^12*T2^12 - 85*T1^13*T2^12 + 60*T1^14*T2^12 - 16*T1^15*T2^12 + 
      19*T1^16*T2^12 - 15*T1^5*T2^13 + 24*T1^6*T2^13 - 51*T1^7*T2^13 + 
      74*T1^8*T2^13 - 85*T1^9*T2^13 - 10*T1^10*T2^13 - 10*T1^11*T2^13 - 
      85*T1^12*T2^13 + 74*T1^13*T2^13 - 51*T1^14*T2^13 + 24*T1^15*T2^13 - 
      15*T1^16*T2^13 + 9*T1^6*T2^14 - 20*T1^7*T2^14 + 34*T1^8*T2^14 - 
      51*T1^9*T2^14 + 60*T1^10*T2^14 - 26*T1^11*T2^14 + 60*T1^12*T2^14 - 
      51*T1^13*T2^14 + 34*T1^14*T2^14 - 20*T1^15*T2^14 + 9*T1^16*T2^14 - 
      4*T1^7*T2^15 + 12*T1^8*T2^15 - 20*T1^9*T2^15 + 24*T1^10*T2^15 - 
      16*T1^11*T2^15 - 16*T1^12*T2^15 + 24*T1^13*T2^15 - 20*T1^14*T2^15 + 
      12*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 
      9*T1^10*T2^16 - 15*T1^11*T2^16 + 19*T1^12*T2^16 - 15*T1^13*T2^16 + 
      9*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, -((1 - 4*T1 + 9*T1^2 - 15*T1^3 + 19*T1^4 - 15*T1^5 + 9*T1^6 - 
      4*T1^7 + T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 24*T1^3*T2 - 
      16*T1^4*T2 - 16*T1^5*T2 + 24*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 
      4*T1^9*T2 + 9*T2^2 - 20*T1*T2^2 + 28*T1^2*T2^2 - 37*T1^3*T2^2 + 
      42*T1^4*T2^2 - 6*T1^5*T2^2 + 42*T1^6*T2^2 - 37*T1^7*T2^2 + 
      28*T1^8*T2^2 - 20*T1^9*T2^2 + 9*T1^10*T2^2 - 15*T2^3 + 24*T1*T2^3 - 
      37*T1^2*T2^3 + 68*T1^3*T2^3 - 97*T1^4*T2^3 - 7*T1^5*T2^3 - 
      7*T1^6*T2^3 - 97*T1^7*T2^3 + 68*T1^8*T2^3 - 37*T1^9*T2^3 + 
      24*T1^10*T2^3 - 15*T1^11*T2^3 + 19*T2^4 - 16*T1*T2^4 + 42*T1^2*T2^4 - 
      97*T1^3*T2^4 + 117*T1^4*T2^4 + 137*T1^5*T2^4 - 65*T1^6*T2^4 + 
      137*T1^7*T2^4 + 117*T1^8*T2^4 - 97*T1^9*T2^4 + 42*T1^10*T2^4 - 
      16*T1^11*T2^4 + 19*T1^12*T2^4 - 15*T2^5 - 16*T1*T2^5 - 6*T1^2*T2^5 - 
      7*T1^3*T2^5 + 137*T1^4*T2^5 - 510*T1^5*T2^5 + 54*T1^6*T2^5 + 
      54*T1^7*T2^5 - 510*T1^8*T2^5 + 137*T1^9*T2^5 - 7*T1^10*T2^5 - 
      6*T1^11*T2^5 - 16*T1^12*T2^5 - 15*T1^13*T2^5 + 9*T2^6 + 24*T1*T2^6 + 
      42*T1^2*T2^6 - 7*T1^3*T2^6 - 65*T1^4*T2^6 + 54*T1^5*T2^6 + 
      958*T1^6*T2^6 - 784*T1^7*T2^6 + 958*T1^8*T2^6 + 54*T1^9*T2^6 - 
      65*T1^10*T2^6 - 7*T1^11*T2^6 + 42*T1^12*T2^6 + 24*T1^13*T2^6 + 
      9*T1^14*T2^6 - 4*T2^7 - 20*T1*T2^7 - 37*T1^2*T2^7 - 97*T1^3*T2^7 + 
      137*T1^4*T2^7 + 54*T1^5*T2^7 - 784*T1^6*T2^7 - 106*T1^7*T2^7 - 
      106*T1^8*T2^7 - 784*T1^9*T2^7 + 54*T1^10*T2^7 + 137*T1^11*T2^7 - 
      97*T1^12*T2^7 - 37*T1^13*T2^7 - 20*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 
      12*T1*T2^8 + 28*T1^2*T2^8 + 68*T1^3*T2^8 + 117*T1^4*T2^8 - 
      510*T1^5*T2^8 + 958*T1^6*T2^8 - 106*T1^7*T2^8 + 768*T1^8*T2^8 - 
      106*T1^9*T2^8 + 958*T1^10*T2^8 - 510*T1^11*T2^8 + 117*T1^12*T2^8 + 
      68*T1^13*T2^8 + 28*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 
      4*T1*T2^9 - 20*T1^2*T2^9 - 37*T1^3*T2^9 - 97*T1^4*T2^9 + 
      137*T1^5*T2^9 + 54*T1^6*T2^9 - 784*T1^7*T2^9 - 106*T1^8*T2^9 - 
      106*T1^9*T2^9 - 784*T1^10*T2^9 + 54*T1^11*T2^9 + 137*T1^12*T2^9 - 
      97*T1^13*T2^9 - 37*T1^14*T2^9 - 20*T1^15*T2^9 - 4*T1^16*T2^9 + 
      9*T1^2*T2^10 + 24*T1^3*T2^10 + 42*T1^4*T2^10 - 7*T1^5*T2^10 - 
      65*T1^6*T2^10 + 54*T1^7*T2^10 + 958*T1^8*T2^10 - 784*T1^9*T2^10 + 
      958*T1^10*T2^10 + 54*T1^11*T2^10 - 65*T1^12*T2^10 - 7*T1^13*T2^10 + 
      42*T1^14*T2^10 + 24*T1^15*T2^10 + 9*T1^16*T2^10 - 15*T1^3*T2^11 - 
      16*T1^4*T2^11 - 6*T1^5*T2^11 - 7*T1^6*T2^11 + 137*T1^7*T2^11 - 
      510*T1^8*T2^11 + 54*T1^9*T2^11 + 54*T1^10*T2^11 - 510*T1^11*T2^11 + 
      137*T1^12*T2^11 - 7*T1^13*T2^11 - 6*T1^14*T2^11 - 16*T1^15*T2^11 - 
      15*T1^16*T2^11 + 19*T1^4*T2^12 - 16*T1^5*T2^12 + 42*T1^6*T2^12 - 
      97*T1^7*T2^12 + 117*T1^8*T2^12 + 137*T1^9*T2^12 - 65*T1^10*T2^12 + 
      137*T1^11*T2^12 + 117*T1^12*T2^12 - 97*T1^13*T2^12 + 42*T1^14*T2^12 - 
      16*T1^15*T2^12 + 19*T1^16*T2^12 - 15*T1^5*T2^13 + 24*T1^6*T2^13 - 
      37*T1^7*T2^13 + 68*T1^8*T2^13 - 97*T1^9*T2^13 - 7*T1^10*T2^13 - 
      7*T1^11*T2^13 - 97*T1^12*T2^13 + 68*T1^13*T2^13 - 37*T1^14*T2^13 + 
      24*T1^15*T2^13 - 15*T1^16*T2^13 + 9*T1^6*T2^14 - 20*T1^7*T2^14 + 
      28*T1^8*T2^14 - 37*T1^9*T2^14 + 42*T1^10*T2^14 - 6*T1^11*T2^14 + 
      42*T1^12*T2^14 - 37*T1^13*T2^14 + 28*T1^14*T2^14 - 20*T1^15*T2^14 + 
      9*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 20*T1^9*T2^15 + 
      24*T1^10*T2^15 - 16*T1^11*T2^15 - 16*T1^12*T2^15 + 24*T1^13*T2^15 - 
      20*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 
      4*T1^9*T2^16 + 9*T1^10*T2^16 - 15*T1^11*T2^16 + 19*T1^12*T2^16 - 
      15*T1^13*T2^16 + 9*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 1179] -> 
  {(3 - 12*T + 20*T^2 - 21*T^3 + 20*T^4 - 12*T^5 + 3*T^6)/T^3, 
   (18 - 72*T1 + 116*T1^2 - 120*T1^3 + 116*T1^4 - 72*T1^5 + 18*T1^6 - 72*T2 + 
     216*T1*T2 - 176*T1^2*T2 + 16*T1^3*T2 + 16*T1^4*T2 - 176*T1^5*T2 + 
     216*T1^6*T2 - 72*T1^7*T2 + 116*T2^2 - 176*T1*T2^2 - 316*T1^2*T2^2 + 
     726*T1^3*T2^2 - 606*T1^4*T2^2 + 726*T1^5*T2^2 - 316*T1^6*T2^2 - 
     176*T1^7*T2^2 + 116*T1^8*T2^2 - 120*T2^3 + 16*T1*T2^3 + 726*T1^2*T2^3 - 
     754*T1^3*T2^3 + 69*T1^4*T2^3 + 69*T1^5*T2^3 - 754*T1^6*T2^3 + 
     726*T1^7*T2^3 + 16*T1^8*T2^3 - 120*T1^9*T2^3 + 116*T2^4 + 16*T1*T2^4 - 
     606*T1^2*T2^4 + 69*T1^3*T2^4 + 866*T1^4*T2^4 - 890*T1^5*T2^4 + 
     866*T1^6*T2^4 + 69*T1^7*T2^4 - 606*T1^8*T2^4 + 16*T1^9*T2^4 + 
     116*T1^10*T2^4 - 72*T2^5 - 176*T1*T2^5 + 726*T1^2*T2^5 + 69*T1^3*T2^5 - 
     890*T1^4*T2^5 + 422*T1^5*T2^5 + 422*T1^6*T2^5 - 890*T1^7*T2^5 + 
     69*T1^8*T2^5 + 726*T1^9*T2^5 - 176*T1^10*T2^5 - 72*T1^11*T2^5 + 
     18*T2^6 + 216*T1*T2^6 - 316*T1^2*T2^6 - 754*T1^3*T2^6 + 866*T1^4*T2^6 + 
     422*T1^5*T2^6 - 1164*T1^6*T2^6 + 422*T1^7*T2^6 + 866*T1^8*T2^6 - 
     754*T1^9*T2^6 - 316*T1^10*T2^6 + 216*T1^11*T2^6 + 18*T1^12*T2^6 - 
     72*T1*T2^7 - 176*T1^2*T2^7 + 726*T1^3*T2^7 + 69*T1^4*T2^7 - 
     890*T1^5*T2^7 + 422*T1^6*T2^7 + 422*T1^7*T2^7 - 890*T1^8*T2^7 + 
     69*T1^9*T2^7 + 726*T1^10*T2^7 - 176*T1^11*T2^7 - 72*T1^12*T2^7 + 
     116*T1^2*T2^8 + 16*T1^3*T2^8 - 606*T1^4*T2^8 + 69*T1^5*T2^8 + 
     866*T1^6*T2^8 - 890*T1^7*T2^8 + 866*T1^8*T2^8 + 69*T1^9*T2^8 - 
     606*T1^10*T2^8 + 16*T1^11*T2^8 + 116*T1^12*T2^8 - 120*T1^3*T2^9 + 
     16*T1^4*T2^9 + 726*T1^5*T2^9 - 754*T1^6*T2^9 + 69*T1^7*T2^9 + 
     69*T1^8*T2^9 - 754*T1^9*T2^9 + 726*T1^10*T2^9 + 16*T1^11*T2^9 - 
     120*T1^12*T2^9 + 116*T1^4*T2^10 - 176*T1^5*T2^10 - 316*T1^6*T2^10 + 
     726*T1^7*T2^10 - 606*T1^8*T2^10 + 726*T1^9*T2^10 - 316*T1^10*T2^10 - 
     176*T1^11*T2^10 + 116*T1^12*T2^10 - 72*T1^5*T2^11 + 216*T1^6*T2^11 - 
     176*T1^7*T2^11 + 16*T1^8*T2^11 + 16*T1^9*T2^11 - 176*T1^10*T2^11 + 
     216*T1^11*T2^11 - 72*T1^12*T2^11 + 18*T1^6*T2^12 - 72*T1^7*T2^12 + 
     116*T1^8*T2^12 - 120*T1^9*T2^12 + 116*T1^10*T2^12 - 72*T1^11*T2^12 + 
     18*T1^12*T2^12)/(T1^6*T2^6)}, 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, (1 - 4*T1 + 9*T1^2 - 15*T1^3 + 19*T1^4 - 15*T1^5 + 9*T1^6 - 4*T1^7 + 
     T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 24*T1^3*T2 - 16*T1^4*T2 - 
     16*T1^5*T2 + 24*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 9*T2^2 - 
     20*T1*T2^2 + 20*T1^2*T2^2 - 17*T1^3*T2^2 + 18*T1^4*T2^2 + 12*T1^5*T2^2 + 
     18*T1^6*T2^2 - 17*T1^7*T2^2 + 20*T1^8*T2^2 - 20*T1^9*T2^2 + 
     9*T1^10*T2^2 - 15*T2^3 + 24*T1*T2^3 - 17*T1^2*T2^3 + 42*T1^3*T2^3 - 
     97*T1^4*T2^3 + 14*T1^5*T2^3 + 14*T1^6*T2^3 - 97*T1^7*T2^3 + 
     42*T1^8*T2^3 - 17*T1^9*T2^3 + 24*T1^10*T2^3 - 15*T1^11*T2^3 + 19*T2^4 - 
     16*T1*T2^4 + 18*T1^2*T2^4 - 97*T1^3*T2^4 + 163*T1^4*T2^4 + 
     104*T1^5*T2^4 - 123*T1^6*T2^4 + 104*T1^7*T2^4 + 163*T1^8*T2^4 - 
     97*T1^9*T2^4 + 18*T1^10*T2^4 - 16*T1^11*T2^4 + 19*T1^12*T2^4 - 15*T2^5 - 
     16*T1*T2^5 + 12*T1^2*T2^5 + 14*T1^3*T2^5 + 104*T1^4*T2^5 - 
     518*T1^5*T2^5 + 135*T1^6*T2^5 + 135*T1^7*T2^5 - 518*T1^8*T2^5 + 
     104*T1^9*T2^5 + 14*T1^10*T2^5 + 12*T1^11*T2^5 - 16*T1^12*T2^5 - 
     15*T1^13*T2^5 + 9*T2^6 + 24*T1*T2^6 + 18*T1^2*T2^6 + 14*T1^3*T2^6 - 
     123*T1^4*T2^6 + 135*T1^5*T2^6 + 795*T1^6*T2^6 - 741*T1^7*T2^6 + 
     795*T1^8*T2^6 + 135*T1^9*T2^6 - 123*T1^10*T2^6 + 14*T1^11*T2^6 + 
     18*T1^12*T2^6 + 24*T1^13*T2^6 + 9*T1^14*T2^6 - 4*T2^7 - 20*T1*T2^7 - 
     17*T1^2*T2^7 - 97*T1^3*T2^7 + 104*T1^4*T2^7 + 135*T1^5*T2^7 - 
     741*T1^6*T2^7 - 68*T1^7*T2^7 - 68*T1^8*T2^7 - 741*T1^9*T2^7 + 
     135*T1^10*T2^7 + 104*T1^11*T2^7 - 97*T1^12*T2^7 - 17*T1^13*T2^7 - 
     20*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 20*T1^2*T2^8 + 
     42*T1^3*T2^8 + 163*T1^4*T2^8 - 518*T1^5*T2^8 + 795*T1^6*T2^8 - 
     68*T1^7*T2^8 + 696*T1^8*T2^8 - 68*T1^9*T2^8 + 795*T1^10*T2^8 - 
     518*T1^11*T2^8 + 163*T1^12*T2^8 + 42*T1^13*T2^8 + 20*T1^14*T2^8 + 
     12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 20*T1^2*T2^9 - 17*T1^3*T2^9 - 
     97*T1^4*T2^9 + 104*T1^5*T2^9 + 135*T1^6*T2^9 - 741*T1^7*T2^9 - 
     68*T1^8*T2^9 - 68*T1^9*T2^9 - 741*T1^10*T2^9 + 135*T1^11*T2^9 + 
     104*T1^12*T2^9 - 97*T1^13*T2^9 - 17*T1^14*T2^9 - 20*T1^15*T2^9 - 
     4*T1^16*T2^9 + 9*T1^2*T2^10 + 24*T1^3*T2^10 + 18*T1^4*T2^10 + 
     14*T1^5*T2^10 - 123*T1^6*T2^10 + 135*T1^7*T2^10 + 795*T1^8*T2^10 - 
     741*T1^9*T2^10 + 795*T1^10*T2^10 + 135*T1^11*T2^10 - 123*T1^12*T2^10 + 
     14*T1^13*T2^10 + 18*T1^14*T2^10 + 24*T1^15*T2^10 + 9*T1^16*T2^10 - 
     15*T1^3*T2^11 - 16*T1^4*T2^11 + 12*T1^5*T2^11 + 14*T1^6*T2^11 + 
     104*T1^7*T2^11 - 518*T1^8*T2^11 + 135*T1^9*T2^11 + 135*T1^10*T2^11 - 
     518*T1^11*T2^11 + 104*T1^12*T2^11 + 14*T1^13*T2^11 + 12*T1^14*T2^11 - 
     16*T1^15*T2^11 - 15*T1^16*T2^11 + 19*T1^4*T2^12 - 16*T1^5*T2^12 + 
     18*T1^6*T2^12 - 97*T1^7*T2^12 + 163*T1^8*T2^12 + 104*T1^9*T2^12 - 
     123*T1^10*T2^12 + 104*T1^11*T2^12 + 163*T1^12*T2^12 - 97*T1^13*T2^12 + 
     18*T1^14*T2^12 - 16*T1^15*T2^12 + 19*T1^16*T2^12 - 15*T1^5*T2^13 + 
     24*T1^6*T2^13 - 17*T1^7*T2^13 + 42*T1^8*T2^13 - 97*T1^9*T2^13 + 
     14*T1^10*T2^13 + 14*T1^11*T2^13 - 97*T1^12*T2^13 + 42*T1^13*T2^13 - 
     17*T1^14*T2^13 + 24*T1^15*T2^13 - 15*T1^16*T2^13 + 9*T1^6*T2^14 - 
     20*T1^7*T2^14 + 20*T1^8*T2^14 - 17*T1^9*T2^14 + 18*T1^10*T2^14 + 
     12*T1^11*T2^14 + 18*T1^12*T2^14 - 17*T1^13*T2^14 + 20*T1^14*T2^14 - 
     20*T1^15*T2^14 + 9*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 
     20*T1^9*T2^15 + 24*T1^10*T2^15 - 16*T1^11*T2^15 - 16*T1^12*T2^15 + 
     24*T1^13*T2^15 - 20*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + 
     T1^8*T2^16 - 4*T1^9*T2^16 + 9*T1^10*T2^16 - 15*T1^11*T2^16 + 
     19*T1^12*T2^16 - 15*T1^13*T2^16 + 9*T1^14*T2^16 - 4*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, Knot[12, Alternating, 1181] -> 
  {(4 - 16*T + 30*T^2 - 35*T^3 + 30*T^4 - 16*T^5 + 4*T^6)/T^3, 
   (64 - 256*T1 + 468*T1^2 - 536*T1^3 + 468*T1^4 - 256*T1^5 + 64*T1^6 - 
     256*T2 + 768*T1*T2 - 848*T1^2*T2 + 272*T1^3*T2 + 272*T1^4*T2 - 
     848*T1^5*T2 + 768*T1^6*T2 - 256*T1^7*T2 + 468*T2^2 - 848*T1*T2^2 - 
     310*T1^2*T2^2 + 2046*T1^3*T2^2 - 2252*T1^4*T2^2 + 2046*T1^5*T2^2 - 
     310*T1^6*T2^2 - 848*T1^7*T2^2 + 468*T1^8*T2^2 - 536*T2^3 + 272*T1*T2^3 + 
     2046*T1^2*T2^3 - 3070*T1^3*T2^3 + 788*T1^4*T2^3 + 788*T1^5*T2^3 - 
     3070*T1^6*T2^3 + 2046*T1^7*T2^3 + 272*T1^8*T2^3 - 536*T1^9*T2^3 + 
     468*T2^4 + 272*T1*T2^4 - 2252*T1^2*T2^4 + 788*T1^3*T2^4 + 
     3269*T1^4*T2^4 - 3563*T1^5*T2^4 + 3269*T1^6*T2^4 + 788*T1^7*T2^4 - 
     2252*T1^8*T2^4 + 272*T1^9*T2^4 + 468*T1^10*T2^4 - 256*T2^5 - 
     848*T1*T2^5 + 2046*T1^2*T2^5 + 788*T1^3*T2^5 - 3563*T1^4*T2^5 + 
     912*T1^5*T2^5 + 912*T1^6*T2^5 - 3563*T1^7*T2^5 + 788*T1^8*T2^5 + 
     2046*T1^9*T2^5 - 848*T1^10*T2^5 - 256*T1^11*T2^5 + 64*T2^6 + 
     768*T1*T2^6 - 310*T1^2*T2^6 - 3070*T1^3*T2^6 + 3269*T1^4*T2^6 + 
     912*T1^5*T2^6 - 1332*T1^6*T2^6 + 912*T1^7*T2^6 + 3269*T1^8*T2^6 - 
     3070*T1^9*T2^6 - 310*T1^10*T2^6 + 768*T1^11*T2^6 + 64*T1^12*T2^6 - 
     256*T1*T2^7 - 848*T1^2*T2^7 + 2046*T1^3*T2^7 + 788*T1^4*T2^7 - 
     3563*T1^5*T2^7 + 912*T1^6*T2^7 + 912*T1^7*T2^7 - 3563*T1^8*T2^7 + 
     788*T1^9*T2^7 + 2046*T1^10*T2^7 - 848*T1^11*T2^7 - 256*T1^12*T2^7 + 
     468*T1^2*T2^8 + 272*T1^3*T2^8 - 2252*T1^4*T2^8 + 788*T1^5*T2^8 + 
     3269*T1^6*T2^8 - 3563*T1^7*T2^8 + 3269*T1^8*T2^8 + 788*T1^9*T2^8 - 
     2252*T1^10*T2^8 + 272*T1^11*T2^8 + 468*T1^12*T2^8 - 536*T1^3*T2^9 + 
     272*T1^4*T2^9 + 2046*T1^5*T2^9 - 3070*T1^6*T2^9 + 788*T1^7*T2^9 + 
     788*T1^8*T2^9 - 3070*T1^9*T2^9 + 2046*T1^10*T2^9 + 272*T1^11*T2^9 - 
     536*T1^12*T2^9 + 468*T1^4*T2^10 - 848*T1^5*T2^10 - 310*T1^6*T2^10 + 
     2046*T1^7*T2^10 - 2252*T1^8*T2^10 + 2046*T1^9*T2^10 - 310*T1^10*T2^10 - 
     848*T1^11*T2^10 + 468*T1^12*T2^10 - 256*T1^5*T2^11 + 768*T1^6*T2^11 - 
     848*T1^7*T2^11 + 272*T1^8*T2^11 + 272*T1^9*T2^11 - 848*T1^10*T2^11 + 
     768*T1^11*T2^11 - 256*T1^12*T2^11 + 64*T1^6*T2^12 - 256*T1^7*T2^12 + 
     468*T1^8*T2^12 - 536*T1^9*T2^12 + 468*T1^10*T2^12 - 256*T1^11*T2^12 + 
     64*T1^12*T2^12)/(T1^6*T2^6)}, 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), -((9 - 39*T1 + 94*T1^2 - 162*T1^3 + 191*T1^4 - 162*T1^5 + 
      94*T1^6 - 39*T1^7 + 9*T1^8 - 39*T2 + 130*T1*T2 - 237*T1^2*T2 + 
      292*T1^3*T2 - 125*T1^4*T2 - 125*T1^5*T2 + 292*T1^6*T2 - 237*T1^7*T2 + 
      130*T1^8*T2 - 39*T1^9*T2 + 94*T2^2 - 237*T1*T2^2 + 323*T1^2*T2^2 - 
      281*T1^3*T2^2 - 145*T1^4*T2^2 + 307*T1^5*T2^2 - 145*T1^6*T2^2 - 
      281*T1^7*T2^2 + 323*T1^8*T2^2 - 237*T1^9*T2^2 + 94*T1^10*T2^2 - 
      162*T2^3 + 292*T1*T2^3 - 281*T1^2*T2^3 + 164*T1^3*T2^3 + 
      438*T1^4*T2^3 - 166*T1^5*T2^3 - 166*T1^6*T2^3 + 438*T1^7*T2^3 + 
      164*T1^8*T2^3 - 281*T1^9*T2^3 + 292*T1^10*T2^3 - 162*T1^11*T2^3 + 
      191*T2^4 - 125*T1*T2^4 - 145*T1^2*T2^4 + 438*T1^3*T2^4 - 
      1233*T1^4*T2^4 + 352*T1^5*T2^4 - 299*T1^6*T2^4 + 352*T1^7*T2^4 - 
      1233*T1^8*T2^4 + 438*T1^9*T2^4 - 145*T1^10*T2^4 - 125*T1^11*T2^4 + 
      191*T1^12*T2^4 - 162*T2^5 - 125*T1*T2^5 + 307*T1^2*T2^5 - 
      166*T1^3*T2^5 + 352*T1^4*T2^5 + 1430*T1^5*T2^5 - 370*T1^6*T2^5 - 
      370*T1^7*T2^5 + 1430*T1^8*T2^5 + 352*T1^9*T2^5 - 166*T1^10*T2^5 + 
      307*T1^11*T2^5 - 125*T1^12*T2^5 - 162*T1^13*T2^5 + 94*T2^6 + 
      292*T1*T2^6 - 145*T1^2*T2^6 - 166*T1^3*T2^6 - 299*T1^4*T2^6 - 
      370*T1^5*T2^6 - 3249*T1^6*T2^6 + 3759*T1^7*T2^6 - 3249*T1^8*T2^6 - 
      370*T1^9*T2^6 - 299*T1^10*T2^6 - 166*T1^11*T2^6 - 145*T1^12*T2^6 + 
      292*T1^13*T2^6 + 94*T1^14*T2^6 - 39*T2^7 - 237*T1*T2^7 - 
      281*T1^2*T2^7 + 438*T1^3*T2^7 + 352*T1^4*T2^7 - 370*T1^5*T2^7 + 
      3759*T1^6*T2^7 - 1080*T1^7*T2^7 - 1080*T1^8*T2^7 + 3759*T1^9*T2^7 - 
      370*T1^10*T2^7 + 352*T1^11*T2^7 + 438*T1^12*T2^7 - 281*T1^13*T2^7 - 
      237*T1^14*T2^7 - 39*T1^15*T2^7 + 9*T2^8 + 130*T1*T2^8 + 323*T1^2*T2^8 + 
      164*T1^3*T2^8 - 1233*T1^4*T2^8 + 1430*T1^5*T2^8 - 3249*T1^6*T2^8 - 
      1080*T1^7*T2^8 + 1476*T1^8*T2^8 - 1080*T1^9*T2^8 - 3249*T1^10*T2^8 + 
      1430*T1^11*T2^8 - 1233*T1^12*T2^8 + 164*T1^13*T2^8 + 323*T1^14*T2^8 + 
      130*T1^15*T2^8 + 9*T1^16*T2^8 - 39*T1*T2^9 - 237*T1^2*T2^9 - 
      281*T1^3*T2^9 + 438*T1^4*T2^9 + 352*T1^5*T2^9 - 370*T1^6*T2^9 + 
      3759*T1^7*T2^9 - 1080*T1^8*T2^9 - 1080*T1^9*T2^9 + 3759*T1^10*T2^9 - 
      370*T1^11*T2^9 + 352*T1^12*T2^9 + 438*T1^13*T2^9 - 281*T1^14*T2^9 - 
      237*T1^15*T2^9 - 39*T1^16*T2^9 + 94*T1^2*T2^10 + 292*T1^3*T2^10 - 
      145*T1^4*T2^10 - 166*T1^5*T2^10 - 299*T1^6*T2^10 - 370*T1^7*T2^10 - 
      3249*T1^8*T2^10 + 3759*T1^9*T2^10 - 3249*T1^10*T2^10 - 
      370*T1^11*T2^10 - 299*T1^12*T2^10 - 166*T1^13*T2^10 - 145*T1^14*T2^10 + 
      292*T1^15*T2^10 + 94*T1^16*T2^10 - 162*T1^3*T2^11 - 125*T1^4*T2^11 + 
      307*T1^5*T2^11 - 166*T1^6*T2^11 + 352*T1^7*T2^11 + 1430*T1^8*T2^11 - 
      370*T1^9*T2^11 - 370*T1^10*T2^11 + 1430*T1^11*T2^11 + 352*T1^12*T2^11 - 
      166*T1^13*T2^11 + 307*T1^14*T2^11 - 125*T1^15*T2^11 - 162*T1^16*T2^11 + 
      191*T1^4*T2^12 - 125*T1^5*T2^12 - 145*T1^6*T2^12 + 438*T1^7*T2^12 - 
      1233*T1^8*T2^12 + 352*T1^9*T2^12 - 299*T1^10*T2^12 + 352*T1^11*T2^12 - 
      1233*T1^12*T2^12 + 438*T1^13*T2^12 - 145*T1^14*T2^12 - 
      125*T1^15*T2^12 + 191*T1^16*T2^12 - 162*T1^5*T2^13 + 292*T1^6*T2^13 - 
      281*T1^7*T2^13 + 164*T1^8*T2^13 + 438*T1^9*T2^13 - 166*T1^10*T2^13 - 
      166*T1^11*T2^13 + 438*T1^12*T2^13 + 164*T1^13*T2^13 - 281*T1^14*T2^13 + 
      292*T1^15*T2^13 - 162*T1^16*T2^13 + 94*T1^6*T2^14 - 237*T1^7*T2^14 + 
      323*T1^8*T2^14 - 281*T1^9*T2^14 - 145*T1^10*T2^14 + 307*T1^11*T2^14 - 
      145*T1^12*T2^14 - 281*T1^13*T2^14 + 323*T1^14*T2^14 - 237*T1^15*T2^14 + 
      94*T1^16*T2^14 - 39*T1^7*T2^15 + 130*T1^8*T2^15 - 237*T1^9*T2^15 + 
      292*T1^10*T2^15 - 125*T1^11*T2^15 - 125*T1^12*T2^15 + 292*T1^13*T2^15 - 
      237*T1^14*T2^15 + 130*T1^15*T2^15 - 39*T1^16*T2^15 + 9*T1^8*T2^16 - 
      39*T1^9*T2^16 + 94*T1^10*T2^16 - 162*T1^11*T2^16 + 191*T1^12*T2^16 - 
      162*T1^13*T2^16 + 94*T1^14*T2^16 - 39*T1^15*T2^16 + 9*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 1183] -> 
  {-((4 - 15*T + 26*T^2 - 31*T^3 + 26*T^4 - 15*T^5 + 4*T^6)/T^3), 
   -((128 - 464*T1 + 788*T1^2 - 936*T1^3 + 788*T1^4 - 464*T1^5 + 128*T1^6 - 
      464*T2 + 1218*T1*T2 - 1174*T1^2*T2 + 532*T1^3*T2 + 532*T1^4*T2 - 
      1174*T1^5*T2 + 1218*T1^6*T2 - 464*T1^7*T2 + 788*T2^2 - 1174*T1*T2^2 - 
      537*T1^2*T2^2 + 2033*T1^3*T2^2 - 2953*T1^4*T2^2 + 2033*T1^5*T2^2 - 
      537*T1^6*T2^2 - 1174*T1^7*T2^2 + 788*T1^8*T2^2 - 936*T2^3 + 
      532*T1*T2^3 + 2033*T1^2*T2^3 - 2102*T1^3*T2^3 + 1247*T1^4*T2^3 + 
      1247*T1^5*T2^3 - 2102*T1^6*T2^3 + 2033*T1^7*T2^3 + 532*T1^8*T2^3 - 
      936*T1^9*T2^3 + 788*T2^4 + 532*T1*T2^4 - 2953*T1^2*T2^4 + 
      1247*T1^3*T2^4 - 4*T1^4*T2^4 - 1648*T1^5*T2^4 - 4*T1^6*T2^4 + 
      1247*T1^7*T2^4 - 2953*T1^8*T2^4 + 532*T1^9*T2^4 + 788*T1^10*T2^4 - 
      464*T2^5 - 1174*T1*T2^5 + 2033*T1^2*T2^5 + 1247*T1^3*T2^5 - 
      1648*T1^4*T2^5 + 1540*T1^5*T2^5 + 1540*T1^6*T2^5 - 1648*T1^7*T2^5 + 
      1247*T1^8*T2^5 + 2033*T1^9*T2^5 - 1174*T1^10*T2^5 - 464*T1^11*T2^5 + 
      128*T2^6 + 1218*T1*T2^6 - 537*T1^2*T2^6 - 2102*T1^3*T2^6 - 
      4*T1^4*T2^6 + 1540*T1^5*T2^6 - 3780*T1^6*T2^6 + 1540*T1^7*T2^6 - 
      4*T1^8*T2^6 - 2102*T1^9*T2^6 - 537*T1^10*T2^6 + 1218*T1^11*T2^6 + 
      128*T1^12*T2^6 - 464*T1*T2^7 - 1174*T1^2*T2^7 + 2033*T1^3*T2^7 + 
      1247*T1^4*T2^7 - 1648*T1^5*T2^7 + 1540*T1^6*T2^7 + 1540*T1^7*T2^7 - 
      1648*T1^8*T2^7 + 1247*T1^9*T2^7 + 2033*T1^10*T2^7 - 1174*T1^11*T2^7 - 
      464*T1^12*T2^7 + 788*T1^2*T2^8 + 532*T1^3*T2^8 - 2953*T1^4*T2^8 + 
      1247*T1^5*T2^8 - 4*T1^6*T2^8 - 1648*T1^7*T2^8 - 4*T1^8*T2^8 + 
      1247*T1^9*T2^8 - 2953*T1^10*T2^8 + 532*T1^11*T2^8 + 788*T1^12*T2^8 - 
      936*T1^3*T2^9 + 532*T1^4*T2^9 + 2033*T1^5*T2^9 - 2102*T1^6*T2^9 + 
      1247*T1^7*T2^9 + 1247*T1^8*T2^9 - 2102*T1^9*T2^9 + 2033*T1^10*T2^9 + 
      532*T1^11*T2^9 - 936*T1^12*T2^9 + 788*T1^4*T2^10 - 1174*T1^5*T2^10 - 
      537*T1^6*T2^10 + 2033*T1^7*T2^10 - 2953*T1^8*T2^10 + 2033*T1^9*T2^10 - 
      537*T1^10*T2^10 - 1174*T1^11*T2^10 + 788*T1^12*T2^10 - 464*T1^5*T2^11 + 
      1218*T1^6*T2^11 - 1174*T1^7*T2^11 + 532*T1^8*T2^11 + 532*T1^9*T2^11 - 
      1174*T1^10*T2^11 + 1218*T1^11*T2^11 - 464*T1^12*T2^11 + 
      128*T1^6*T2^12 - 464*T1^7*T2^12 + 788*T1^8*T2^12 - 936*T1^9*T2^12 + 
      788*T1^10*T2^12 - 464*T1^11*T2^12 + 128*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, (17 - 84*T1 + 200*T1^2 - 282*T1^3 + 307*T1^4 - 282*T1^5 + 200*T1^6 - 
     84*T1^7 + 17*T1^8 - 84*T2 + 332*T1*T2 - 575*T1^2*T2 + 407*T1^3*T2 - 
     124*T1^4*T2 - 124*T1^5*T2 + 407*T1^6*T2 - 575*T1^7*T2 + 332*T1^8*T2 - 
     84*T1^9*T2 + 200*T2^2 - 575*T1*T2^2 + 489*T1^2*T2^2 + 642*T1^3*T2^2 - 
     1062*T1^4*T2^2 + 1033*T1^5*T2^2 - 1062*T1^6*T2^2 + 642*T1^7*T2^2 + 
     489*T1^8*T2^2 - 575*T1^9*T2^2 + 200*T1^10*T2^2 - 282*T2^3 + 
     407*T1*T2^3 + 642*T1^2*T2^3 - 2562*T1^3*T2^3 + 1398*T1^4*T2^3 - 
     240*T1^5*T2^3 - 240*T1^6*T2^3 + 1398*T1^7*T2^3 - 2562*T1^8*T2^3 + 
     642*T1^9*T2^3 + 407*T1^10*T2^3 - 282*T1^11*T2^3 + 307*T2^4 - 
     124*T1*T2^4 - 1062*T1^2*T2^4 + 1398*T1^3*T2^4 + 3246*T1^4*T2^4 - 
     4475*T1^5*T2^4 + 4164*T1^6*T2^4 - 4475*T1^7*T2^4 + 3246*T1^8*T2^4 + 
     1398*T1^9*T2^4 - 1062*T1^10*T2^4 - 124*T1^11*T2^4 + 307*T1^12*T2^4 - 
     282*T2^5 - 124*T1*T2^5 + 1033*T1^2*T2^5 - 240*T1^3*T2^5 - 
     4475*T1^4*T2^5 + 1978*T1^5*T2^5 - 165*T1^6*T2^5 - 165*T1^7*T2^5 + 
     1978*T1^8*T2^5 - 4475*T1^9*T2^5 - 240*T1^10*T2^5 + 1033*T1^11*T2^5 - 
     124*T1^12*T2^5 - 282*T1^13*T2^5 + 200*T2^6 + 407*T1*T2^6 - 
     1062*T1^2*T2^6 - 240*T1^3*T2^6 + 4164*T1^4*T2^6 - 165*T1^5*T2^6 + 
     221*T1^6*T2^6 - 851*T1^7*T2^6 + 221*T1^8*T2^6 - 165*T1^9*T2^6 + 
     4164*T1^10*T2^6 - 240*T1^11*T2^6 - 1062*T1^12*T2^6 + 407*T1^13*T2^6 + 
     200*T1^14*T2^6 - 84*T2^7 - 575*T1*T2^7 + 642*T1^2*T2^7 + 
     1398*T1^3*T2^7 - 4475*T1^4*T2^7 - 165*T1^5*T2^7 - 851*T1^6*T2^7 + 
     458*T1^7*T2^7 + 458*T1^8*T2^7 - 851*T1^9*T2^7 - 165*T1^10*T2^7 - 
     4475*T1^11*T2^7 + 1398*T1^12*T2^7 + 642*T1^13*T2^7 - 575*T1^14*T2^7 - 
     84*T1^15*T2^7 + 17*T2^8 + 332*T1*T2^8 + 489*T1^2*T2^8 - 2562*T1^3*T2^8 + 
     3246*T1^4*T2^8 + 1978*T1^5*T2^8 + 221*T1^6*T2^8 + 458*T1^7*T2^8 - 
     672*T1^8*T2^8 + 458*T1^9*T2^8 + 221*T1^10*T2^8 + 1978*T1^11*T2^8 + 
     3246*T1^12*T2^8 - 2562*T1^13*T2^8 + 489*T1^14*T2^8 + 332*T1^15*T2^8 + 
     17*T1^16*T2^8 - 84*T1*T2^9 - 575*T1^2*T2^9 + 642*T1^3*T2^9 + 
     1398*T1^4*T2^9 - 4475*T1^5*T2^9 - 165*T1^6*T2^9 - 851*T1^7*T2^9 + 
     458*T1^8*T2^9 + 458*T1^9*T2^9 - 851*T1^10*T2^9 - 165*T1^11*T2^9 - 
     4475*T1^12*T2^9 + 1398*T1^13*T2^9 + 642*T1^14*T2^9 - 575*T1^15*T2^9 - 
     84*T1^16*T2^9 + 200*T1^2*T2^10 + 407*T1^3*T2^10 - 1062*T1^4*T2^10 - 
     240*T1^5*T2^10 + 4164*T1^6*T2^10 - 165*T1^7*T2^10 + 221*T1^8*T2^10 - 
     851*T1^9*T2^10 + 221*T1^10*T2^10 - 165*T1^11*T2^10 + 4164*T1^12*T2^10 - 
     240*T1^13*T2^10 - 1062*T1^14*T2^10 + 407*T1^15*T2^10 + 200*T1^16*T2^10 - 
     282*T1^3*T2^11 - 124*T1^4*T2^11 + 1033*T1^5*T2^11 - 240*T1^6*T2^11 - 
     4475*T1^7*T2^11 + 1978*T1^8*T2^11 - 165*T1^9*T2^11 - 165*T1^10*T2^11 + 
     1978*T1^11*T2^11 - 4475*T1^12*T2^11 - 240*T1^13*T2^11 + 
     1033*T1^14*T2^11 - 124*T1^15*T2^11 - 282*T1^16*T2^11 + 307*T1^4*T2^12 - 
     124*T1^5*T2^12 - 1062*T1^6*T2^12 + 1398*T1^7*T2^12 + 3246*T1^8*T2^12 - 
     4475*T1^9*T2^12 + 4164*T1^10*T2^12 - 4475*T1^11*T2^12 + 
     3246*T1^12*T2^12 + 1398*T1^13*T2^12 - 1062*T1^14*T2^12 - 
     124*T1^15*T2^12 + 307*T1^16*T2^12 - 282*T1^5*T2^13 + 407*T1^6*T2^13 + 
     642*T1^7*T2^13 - 2562*T1^8*T2^13 + 1398*T1^9*T2^13 - 240*T1^10*T2^13 - 
     240*T1^11*T2^13 + 1398*T1^12*T2^13 - 2562*T1^13*T2^13 + 
     642*T1^14*T2^13 + 407*T1^15*T2^13 - 282*T1^16*T2^13 + 200*T1^6*T2^14 - 
     575*T1^7*T2^14 + 489*T1^8*T2^14 + 642*T1^9*T2^14 - 1062*T1^10*T2^14 + 
     1033*T1^11*T2^14 - 1062*T1^12*T2^14 + 642*T1^13*T2^14 + 
     489*T1^14*T2^14 - 575*T1^15*T2^14 + 200*T1^16*T2^14 - 84*T1^7*T2^15 + 
     332*T1^8*T2^15 - 575*T1^9*T2^15 + 407*T1^10*T2^15 - 124*T1^11*T2^15 - 
     124*T1^12*T2^15 + 407*T1^13*T2^15 - 575*T1^14*T2^15 + 332*T1^15*T2^15 - 
     84*T1^16*T2^15 + 17*T1^8*T2^16 - 84*T1^9*T2^16 + 200*T1^10*T2^16 - 
     282*T1^11*T2^16 + 307*T1^12*T2^16 - 282*T1^13*T2^16 + 200*T1^14*T2^16 - 
     84*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 1185] -> 
  {(4 - 22*T + 55*T^2 - 73*T^3 + 55*T^4 - 22*T^5 + 4*T^6)/T^3, 
   (80 - 428*T1 + 1052*T1^2 - 1384*T1^3 + 1052*T1^4 - 428*T1^5 + 80*T1^6 - 
     428*T2 + 1870*T1*T2 - 3356*T1^2*T2 + 1788*T1^3*T2 + 1788*T1^4*T2 - 
     3356*T1^5*T2 + 1870*T1^6*T2 - 428*T1^7*T2 + 1052*T2^2 - 3356*T1*T2^2 + 
     2583*T1^2*T2^2 + 6562*T1^3*T2^2 - 12405*T1^4*T2^2 + 6562*T1^5*T2^2 + 
     2583*T1^6*T2^2 - 3356*T1^7*T2^2 + 1052*T1^8*T2^2 - 1384*T2^3 + 
     1788*T1*T2^3 + 6562*T1^2*T2^3 - 22054*T1^3*T2^3 + 13077*T1^4*T2^3 + 
     13077*T1^5*T2^3 - 22054*T1^6*T2^3 + 6562*T1^7*T2^3 + 1788*T1^8*T2^3 - 
     1384*T1^9*T2^3 + 1052*T2^4 + 1788*T1*T2^4 - 12405*T1^2*T2^4 + 
     13077*T1^3*T2^4 + 29702*T1^4*T2^4 - 57728*T1^5*T2^4 + 29702*T1^6*T2^4 + 
     13077*T1^7*T2^4 - 12405*T1^8*T2^4 + 1788*T1^9*T2^4 + 1052*T1^10*T2^4 - 
     428*T2^5 - 3356*T1*T2^5 + 6562*T1^2*T2^5 + 13077*T1^3*T2^5 - 
     57728*T1^4*T2^5 + 35080*T1^5*T2^5 + 35080*T1^6*T2^5 - 57728*T1^7*T2^5 + 
     13077*T1^8*T2^5 + 6562*T1^9*T2^5 - 3356*T1^10*T2^5 - 428*T1^11*T2^5 + 
     80*T2^6 + 1870*T1*T2^6 + 2583*T1^2*T2^6 - 22054*T1^3*T2^6 + 
     29702*T1^4*T2^6 + 35080*T1^5*T2^6 - 78804*T1^6*T2^6 + 35080*T1^7*T2^6 + 
     29702*T1^8*T2^6 - 22054*T1^9*T2^6 + 2583*T1^10*T2^6 + 1870*T1^11*T2^6 + 
     80*T1^12*T2^6 - 428*T1*T2^7 - 3356*T1^2*T2^7 + 6562*T1^3*T2^7 + 
     13077*T1^4*T2^7 - 57728*T1^5*T2^7 + 35080*T1^6*T2^7 + 35080*T1^7*T2^7 - 
     57728*T1^8*T2^7 + 13077*T1^9*T2^7 + 6562*T1^10*T2^7 - 3356*T1^11*T2^7 - 
     428*T1^12*T2^7 + 1052*T1^2*T2^8 + 1788*T1^3*T2^8 - 12405*T1^4*T2^8 + 
     13077*T1^5*T2^8 + 29702*T1^6*T2^8 - 57728*T1^7*T2^8 + 29702*T1^8*T2^8 + 
     13077*T1^9*T2^8 - 12405*T1^10*T2^8 + 1788*T1^11*T2^8 + 1052*T1^12*T2^8 - 
     1384*T1^3*T2^9 + 1788*T1^4*T2^9 + 6562*T1^5*T2^9 - 22054*T1^6*T2^9 + 
     13077*T1^7*T2^9 + 13077*T1^8*T2^9 - 22054*T1^9*T2^9 + 6562*T1^10*T2^9 + 
     1788*T1^11*T2^9 - 1384*T1^12*T2^9 + 1052*T1^4*T2^10 - 3356*T1^5*T2^10 + 
     2583*T1^6*T2^10 + 6562*T1^7*T2^10 - 12405*T1^8*T2^10 + 6562*T1^9*T2^10 + 
     2583*T1^10*T2^10 - 3356*T1^11*T2^10 + 1052*T1^12*T2^10 - 
     428*T1^5*T2^11 + 1870*T1^6*T2^11 - 3356*T1^7*T2^11 + 1788*T1^8*T2^11 + 
     1788*T1^9*T2^11 - 3356*T1^10*T2^11 + 1870*T1^11*T2^11 - 
     428*T1^12*T2^11 + 80*T1^6*T2^12 - 428*T1^7*T2^12 + 1052*T1^8*T2^12 - 
     1384*T1^9*T2^12 + 1052*T1^10*T2^12 - 428*T1^11*T2^12 + 80*T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   (17 - 92*T1 + 248*T1^2 - 410*T1^3 + 483*T1^4 - 410*T1^5 + 248*T1^6 - 
     92*T1^7 + 17*T1^8 - 92*T2 + 406*T1*T2 - 844*T1^2*T2 + 877*T1^3*T2 - 
     395*T1^4*T2 - 395*T1^5*T2 + 877*T1^6*T2 - 844*T1^7*T2 + 406*T1^8*T2 - 
     92*T1^9*T2 + 248*T2^2 - 844*T1*T2^2 + 1147*T1^2*T2^2 + 37*T1^3*T2^2 - 
     1567*T1^4*T2^2 + 2461*T1^5*T2^2 - 1567*T1^6*T2^2 + 37*T1^7*T2^2 + 
     1147*T1^8*T2^2 - 844*T1^9*T2^2 + 248*T1^10*T2^2 - 410*T2^3 + 
     877*T1*T2^3 + 37*T1^2*T2^3 - 3146*T1^3*T2^3 + 3887*T1^4*T2^3 - 
     2091*T1^5*T2^3 - 2091*T1^6*T2^3 + 3887*T1^7*T2^3 - 3146*T1^8*T2^3 + 
     37*T1^9*T2^3 + 877*T1^10*T2^3 - 410*T1^11*T2^3 + 483*T2^4 - 
     395*T1*T2^4 - 1567*T1^2*T2^4 + 3887*T1^3*T2^4 + 865*T1^4*T2^4 - 
     6580*T1^5*T2^4 + 10727*T1^6*T2^4 - 6580*T1^7*T2^4 + 865*T1^8*T2^4 + 
     3887*T1^9*T2^4 - 1567*T1^10*T2^4 - 395*T1^11*T2^4 + 483*T1^12*T2^4 - 
     410*T2^5 - 395*T1*T2^5 + 2461*T1^2*T2^5 - 2091*T1^3*T2^5 - 
     6580*T1^4*T2^5 + 8644*T1^5*T2^5 - 5497*T1^6*T2^5 - 5497*T1^7*T2^5 + 
     8644*T1^8*T2^5 - 6580*T1^9*T2^5 - 2091*T1^10*T2^5 + 2461*T1^11*T2^5 - 
     395*T1^12*T2^5 - 410*T1^13*T2^5 + 248*T2^6 + 877*T1*T2^6 - 
     1567*T1^2*T2^6 - 2091*T1^3*T2^6 + 10727*T1^4*T2^6 - 5497*T1^5*T2^6 - 
     1181*T1^6*T2^6 + 8749*T1^7*T2^6 - 1181*T1^8*T2^6 - 5497*T1^9*T2^6 + 
     10727*T1^10*T2^6 - 2091*T1^11*T2^6 - 1567*T1^12*T2^6 + 877*T1^13*T2^6 + 
     248*T1^14*T2^6 - 92*T2^7 - 844*T1*T2^7 + 37*T1^2*T2^7 + 3887*T1^3*T2^7 - 
     6580*T1^4*T2^7 - 5497*T1^5*T2^7 + 8749*T1^6*T2^7 - 7148*T1^7*T2^7 - 
     7148*T1^8*T2^7 + 8749*T1^9*T2^7 - 5497*T1^10*T2^7 - 6580*T1^11*T2^7 + 
     3887*T1^12*T2^7 + 37*T1^13*T2^7 - 844*T1^14*T2^7 - 92*T1^15*T2^7 + 
     17*T2^8 + 406*T1*T2^8 + 1147*T1^2*T2^8 - 3146*T1^3*T2^8 + 
     865*T1^4*T2^8 + 8644*T1^5*T2^8 - 1181*T1^6*T2^8 - 7148*T1^7*T2^8 + 
     16980*T1^8*T2^8 - 7148*T1^9*T2^8 - 1181*T1^10*T2^8 + 8644*T1^11*T2^8 + 
     865*T1^12*T2^8 - 3146*T1^13*T2^8 + 1147*T1^14*T2^8 + 406*T1^15*T2^8 + 
     17*T1^16*T2^8 - 92*T1*T2^9 - 844*T1^2*T2^9 + 37*T1^3*T2^9 + 
     3887*T1^4*T2^9 - 6580*T1^5*T2^9 - 5497*T1^6*T2^9 + 8749*T1^7*T2^9 - 
     7148*T1^8*T2^9 - 7148*T1^9*T2^9 + 8749*T1^10*T2^9 - 5497*T1^11*T2^9 - 
     6580*T1^12*T2^9 + 3887*T1^13*T2^9 + 37*T1^14*T2^9 - 844*T1^15*T2^9 - 
     92*T1^16*T2^9 + 248*T1^2*T2^10 + 877*T1^3*T2^10 - 1567*T1^4*T2^10 - 
     2091*T1^5*T2^10 + 10727*T1^6*T2^10 - 5497*T1^7*T2^10 - 1181*T1^8*T2^10 + 
     8749*T1^9*T2^10 - 1181*T1^10*T2^10 - 5497*T1^11*T2^10 + 
     10727*T1^12*T2^10 - 2091*T1^13*T2^10 - 1567*T1^14*T2^10 + 
     877*T1^15*T2^10 + 248*T1^16*T2^10 - 410*T1^3*T2^11 - 395*T1^4*T2^11 + 
     2461*T1^5*T2^11 - 2091*T1^6*T2^11 - 6580*T1^7*T2^11 + 8644*T1^8*T2^11 - 
     5497*T1^9*T2^11 - 5497*T1^10*T2^11 + 8644*T1^11*T2^11 - 
     6580*T1^12*T2^11 - 2091*T1^13*T2^11 + 2461*T1^14*T2^11 - 
     395*T1^15*T2^11 - 410*T1^16*T2^11 + 483*T1^4*T2^12 - 395*T1^5*T2^12 - 
     1567*T1^6*T2^12 + 3887*T1^7*T2^12 + 865*T1^8*T2^12 - 6580*T1^9*T2^12 + 
     10727*T1^10*T2^12 - 6580*T1^11*T2^12 + 865*T1^12*T2^12 + 
     3887*T1^13*T2^12 - 1567*T1^14*T2^12 - 395*T1^15*T2^12 + 
     483*T1^16*T2^12 - 410*T1^5*T2^13 + 877*T1^6*T2^13 + 37*T1^7*T2^13 - 
     3146*T1^8*T2^13 + 3887*T1^9*T2^13 - 2091*T1^10*T2^13 - 
     2091*T1^11*T2^13 + 3887*T1^12*T2^13 - 3146*T1^13*T2^13 + 
     37*T1^14*T2^13 + 877*T1^15*T2^13 - 410*T1^16*T2^13 + 248*T1^6*T2^14 - 
     844*T1^7*T2^14 + 1147*T1^8*T2^14 + 37*T1^9*T2^14 - 1567*T1^10*T2^14 + 
     2461*T1^11*T2^14 - 1567*T1^12*T2^14 + 37*T1^13*T2^14 + 
     1147*T1^14*T2^14 - 844*T1^15*T2^14 + 248*T1^16*T2^14 - 92*T1^7*T2^15 + 
     406*T1^8*T2^15 - 844*T1^9*T2^15 + 877*T1^10*T2^15 - 395*T1^11*T2^15 - 
     395*T1^12*T2^15 + 877*T1^13*T2^15 - 844*T1^14*T2^15 + 406*T1^15*T2^15 - 
     92*T1^16*T2^15 + 17*T1^8*T2^16 - 92*T1^9*T2^16 + 248*T1^10*T2^16 - 
     410*T1^11*T2^16 + 483*T1^12*T2^16 - 410*T1^13*T2^16 + 248*T1^14*T2^16 - 
     92*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8)}, 
 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), (9 - 53*T1 + 152*T1^2 - 275*T1^3 + 329*T1^4 - 275*T1^5 + 
     152*T1^6 - 53*T1^7 + 9*T1^8 - 53*T2 + 260*T1*T2 - 586*T1^2*T2 + 
     728*T1^3*T2 - 320*T1^4*T2 - 320*T1^5*T2 + 728*T1^6*T2 - 586*T1^7*T2 + 
     260*T1^8*T2 - 53*T1^9*T2 + 152*T2^2 - 586*T1*T2^2 + 876*T1^2*T2^2 - 
     218*T1^3*T2^2 - 1528*T1^4*T2^2 + 2280*T1^5*T2^2 - 1528*T1^6*T2^2 - 
     218*T1^7*T2^2 + 876*T1^8*T2^2 - 586*T1^9*T2^2 + 152*T1^10*T2^2 - 
     275*T2^3 + 728*T1*T2^3 - 218*T1^2*T2^3 - 1904*T1^3*T2^3 + 
     4064*T1^4*T2^3 - 1788*T1^5*T2^3 - 1788*T1^6*T2^3 + 4064*T1^7*T2^3 - 
     1904*T1^8*T2^3 - 218*T1^9*T2^3 + 728*T1^10*T2^3 - 275*T1^11*T2^3 + 
     329*T2^4 - 320*T1*T2^4 - 1528*T1^2*T2^4 + 4064*T1^3*T2^4 - 
     3466*T1^4*T2^4 - 4085*T1^5*T2^4 + 6734*T1^6*T2^4 - 4085*T1^7*T2^4 - 
     3466*T1^8*T2^4 + 4064*T1^9*T2^4 - 1528*T1^10*T2^4 - 320*T1^11*T2^4 + 
     329*T1^12*T2^4 - 275*T2^5 - 320*T1*T2^5 + 2280*T1^2*T2^5 - 
     1788*T1^3*T2^5 - 4085*T1^4*T2^5 + 12798*T1^5*T2^5 - 5201*T1^6*T2^5 - 
     5201*T1^7*T2^5 + 12798*T1^8*T2^5 - 4085*T1^9*T2^5 - 1788*T1^10*T2^5 + 
     2280*T1^11*T2^5 - 320*T1^12*T2^5 - 275*T1^13*T2^5 + 152*T2^6 + 
     728*T1*T2^6 - 1528*T1^2*T2^6 - 1788*T1^3*T2^6 + 6734*T1^4*T2^6 - 
     5201*T1^5*T2^6 - 15841*T1^6*T2^6 + 22209*T1^7*T2^6 - 15841*T1^8*T2^6 - 
     5201*T1^9*T2^6 + 6734*T1^10*T2^6 - 1788*T1^11*T2^6 - 1528*T1^12*T2^6 + 
     728*T1^13*T2^6 + 152*T1^14*T2^6 - 53*T2^7 - 586*T1*T2^7 - 
     218*T1^2*T2^7 + 4064*T1^3*T2^7 - 4085*T1^4*T2^7 - 5201*T1^5*T2^7 + 
     22209*T1^6*T2^7 - 8560*T1^7*T2^7 - 8560*T1^8*T2^7 + 22209*T1^9*T2^7 - 
     5201*T1^10*T2^7 - 4085*T1^11*T2^7 + 4064*T1^12*T2^7 - 218*T1^13*T2^7 - 
     586*T1^14*T2^7 - 53*T1^15*T2^7 + 9*T2^8 + 260*T1*T2^8 + 876*T1^2*T2^8 - 
     1904*T1^3*T2^8 - 3466*T1^4*T2^8 + 12798*T1^5*T2^8 - 15841*T1^6*T2^8 - 
     8560*T1^7*T2^8 + 14976*T1^8*T2^8 - 8560*T1^9*T2^8 - 15841*T1^10*T2^8 + 
     12798*T1^11*T2^8 - 3466*T1^12*T2^8 - 1904*T1^13*T2^8 + 876*T1^14*T2^8 + 
     260*T1^15*T2^8 + 9*T1^16*T2^8 - 53*T1*T2^9 - 586*T1^2*T2^9 - 
     218*T1^3*T2^9 + 4064*T1^4*T2^9 - 4085*T1^5*T2^9 - 5201*T1^6*T2^9 + 
     22209*T1^7*T2^9 - 8560*T1^8*T2^9 - 8560*T1^9*T2^9 + 22209*T1^10*T2^9 - 
     5201*T1^11*T2^9 - 4085*T1^12*T2^9 + 4064*T1^13*T2^9 - 218*T1^14*T2^9 - 
     586*T1^15*T2^9 - 53*T1^16*T2^9 + 152*T1^2*T2^10 + 728*T1^3*T2^10 - 
     1528*T1^4*T2^10 - 1788*T1^5*T2^10 + 6734*T1^6*T2^10 - 5201*T1^7*T2^10 - 
     15841*T1^8*T2^10 + 22209*T1^9*T2^10 - 15841*T1^10*T2^10 - 
     5201*T1^11*T2^10 + 6734*T1^12*T2^10 - 1788*T1^13*T2^10 - 
     1528*T1^14*T2^10 + 728*T1^15*T2^10 + 152*T1^16*T2^10 - 275*T1^3*T2^11 - 
     320*T1^4*T2^11 + 2280*T1^5*T2^11 - 1788*T1^6*T2^11 - 4085*T1^7*T2^11 + 
     12798*T1^8*T2^11 - 5201*T1^9*T2^11 - 5201*T1^10*T2^11 + 
     12798*T1^11*T2^11 - 4085*T1^12*T2^11 - 1788*T1^13*T2^11 + 
     2280*T1^14*T2^11 - 320*T1^15*T2^11 - 275*T1^16*T2^11 + 329*T1^4*T2^12 - 
     320*T1^5*T2^12 - 1528*T1^6*T2^12 + 4064*T1^7*T2^12 - 3466*T1^8*T2^12 - 
     4085*T1^9*T2^12 + 6734*T1^10*T2^12 - 4085*T1^11*T2^12 - 
     3466*T1^12*T2^12 + 4064*T1^13*T2^12 - 1528*T1^14*T2^12 - 
     320*T1^15*T2^12 + 329*T1^16*T2^12 - 275*T1^5*T2^13 + 728*T1^6*T2^13 - 
     218*T1^7*T2^13 - 1904*T1^8*T2^13 + 4064*T1^9*T2^13 - 1788*T1^10*T2^13 - 
     1788*T1^11*T2^13 + 4064*T1^12*T2^13 - 1904*T1^13*T2^13 - 
     218*T1^14*T2^13 + 728*T1^15*T2^13 - 275*T1^16*T2^13 + 152*T1^6*T2^14 - 
     586*T1^7*T2^14 + 876*T1^8*T2^14 - 218*T1^9*T2^14 - 1528*T1^10*T2^14 + 
     2280*T1^11*T2^14 - 1528*T1^12*T2^14 - 218*T1^13*T2^14 + 
     876*T1^14*T2^14 - 586*T1^15*T2^14 + 152*T1^16*T2^14 - 53*T1^7*T2^15 + 
     260*T1^8*T2^15 - 586*T1^9*T2^15 + 728*T1^10*T2^15 - 320*T1^11*T2^15 - 
     320*T1^12*T2^15 + 728*T1^13*T2^15 - 586*T1^14*T2^15 + 260*T1^15*T2^15 - 
     53*T1^16*T2^15 + 9*T1^8*T2^16 - 53*T1^9*T2^16 + 152*T1^10*T2^16 - 
     275*T1^11*T2^16 + 329*T1^12*T2^16 - 275*T1^13*T2^16 + 152*T1^14*T2^16 - 
     53*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 
   0}, Knot[12, Alternating, 1189] -> 
  {(4 - 24*T + 63*T^2 - 85*T^3 + 63*T^4 - 24*T^5 + 4*T^6)/T^3, 
   (2*(40 - 234*T1 + 606*T1^2 - 812*T1^3 + 606*T1^4 - 234*T1^5 + 40*T1^6 - 
      234*T2 + 1136*T1*T2 - 2177*T1^2*T2 + 1206*T1^3*T2 + 1206*T1^4*T2 - 
      2177*T1^5*T2 + 1136*T1^6*T2 - 234*T1^7*T2 + 606*T2^2 - 2177*T1*T2^2 + 
      1741*T1^2*T2^2 + 5025*T1^3*T2^2 - 9634*T1^4*T2^2 + 5025*T1^5*T2^2 + 
      1741*T1^6*T2^2 - 2177*T1^7*T2^2 + 606*T1^8*T2^2 - 812*T2^3 + 
      1206*T1*T2^3 + 5025*T1^2*T2^3 - 17646*T1^3*T2^3 + 10958*T1^4*T2^3 + 
      10958*T1^5*T2^3 - 17646*T1^6*T2^3 + 5025*T1^7*T2^3 + 1206*T1^8*T2^3 - 
      812*T1^9*T2^3 + 606*T2^4 + 1206*T1*T2^4 - 9634*T1^2*T2^4 + 
      10958*T1^3*T2^4 + 25069*T1^4*T2^4 - 50655*T1^5*T2^4 + 25069*T1^6*T2^4 + 
      10958*T1^7*T2^4 - 9634*T1^8*T2^4 + 1206*T1^9*T2^4 + 606*T1^10*T2^4 - 
      234*T2^5 - 2177*T1*T2^5 + 5025*T1^2*T2^5 + 10958*T1^3*T2^5 - 
      50655*T1^4*T2^5 + 32458*T1^5*T2^5 + 32458*T1^6*T2^5 - 50655*T1^7*T2^5 + 
      10958*T1^8*T2^5 + 5025*T1^9*T2^5 - 2177*T1^10*T2^5 - 234*T1^11*T2^5 + 
      40*T2^6 + 1136*T1*T2^6 + 1741*T1^2*T2^6 - 17646*T1^3*T2^6 + 
      25069*T1^4*T2^6 + 32458*T1^5*T2^6 - 74790*T1^6*T2^6 + 32458*T1^7*T2^6 + 
      25069*T1^8*T2^6 - 17646*T1^9*T2^6 + 1741*T1^10*T2^6 + 1136*T1^11*T2^6 + 
      40*T1^12*T2^6 - 234*T1*T2^7 - 2177*T1^2*T2^7 + 5025*T1^3*T2^7 + 
      10958*T1^4*T2^7 - 50655*T1^5*T2^7 + 32458*T1^6*T2^7 + 32458*T1^7*T2^7 - 
      50655*T1^8*T2^7 + 10958*T1^9*T2^7 + 5025*T1^10*T2^7 - 2177*T1^11*T2^7 - 
      234*T1^12*T2^7 + 606*T1^2*T2^8 + 1206*T1^3*T2^8 - 9634*T1^4*T2^8 + 
      10958*T1^5*T2^8 + 25069*T1^6*T2^8 - 50655*T1^7*T2^8 + 25069*T1^8*T2^8 + 
      10958*T1^9*T2^8 - 9634*T1^10*T2^8 + 1206*T1^11*T2^8 + 606*T1^12*T2^8 - 
      812*T1^3*T2^9 + 1206*T1^4*T2^9 + 5025*T1^5*T2^9 - 17646*T1^6*T2^9 + 
      10958*T1^7*T2^9 + 10958*T1^8*T2^9 - 17646*T1^9*T2^9 + 5025*T1^10*T2^9 + 
      1206*T1^11*T2^9 - 812*T1^12*T2^9 + 606*T1^4*T2^10 - 2177*T1^5*T2^10 + 
      1741*T1^6*T2^10 + 5025*T1^7*T2^10 - 9634*T1^8*T2^10 + 5025*T1^9*T2^10 + 
      1741*T1^10*T2^10 - 2177*T1^11*T2^10 + 606*T1^12*T2^10 - 
      234*T1^5*T2^11 + 1136*T1^6*T2^11 - 2177*T1^7*T2^11 + 1206*T1^8*T2^11 + 
      1206*T1^9*T2^11 - 2177*T1^10*T2^11 + 1136*T1^11*T2^11 - 
      234*T1^12*T2^11 + 40*T1^6*T2^12 - 234*T1^7*T2^12 + 606*T1^8*T2^12 - 
      812*T1^9*T2^12 + 606*T1^10*T2^12 - 234*T1^11*T2^12 + 40*T1^12*T2^12))/
    (T1^6*T2^6)}, 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), 
   -((1 - 9*T1 + 31*T1^2 - 61*T1^3 + 75*T1^4 - 61*T1^5 + 31*T1^6 - 9*T1^7 + 
      T1^8 - 9*T2 + 72*T1*T2 - 197*T1^2*T2 + 267*T1^3*T2 - 124*T1^4*T2 - 
      124*T1^5*T2 + 267*T1^6*T2 - 197*T1^7*T2 + 72*T1^8*T2 - 9*T1^9*T2 + 
      31*T2^2 - 197*T1*T2^2 + 262*T1^2*T2^2 + 323*T1^3*T2^2 - 
      1576*T1^4*T2^2 + 2176*T1^5*T2^2 - 1576*T1^6*T2^2 + 323*T1^7*T2^2 + 
      262*T1^8*T2^2 - 197*T1^9*T2^2 + 31*T1^10*T2^2 - 61*T2^3 + 267*T1*T2^3 + 
      323*T1^2*T2^3 - 2386*T1^3*T2^3 + 4130*T1^4*T2^3 - 1964*T1^5*T2^3 - 
      1964*T1^6*T2^3 + 4130*T1^7*T2^3 - 2386*T1^8*T2^3 + 323*T1^9*T2^3 + 
      267*T1^10*T2^3 - 61*T1^11*T2^3 + 75*T2^4 - 124*T1*T2^4 - 
      1576*T1^2*T2^4 + 4130*T1^3*T2^4 - 2442*T1^4*T2^4 - 6161*T1^5*T2^4 + 
      10352*T1^6*T2^4 - 6161*T1^7*T2^4 - 2442*T1^8*T2^4 + 4130*T1^9*T2^4 - 
      1576*T1^10*T2^4 - 124*T1^11*T2^4 + 75*T1^12*T2^4 - 61*T2^5 - 
      124*T1*T2^5 + 2176*T1^2*T2^5 - 1964*T1^3*T2^5 - 6161*T1^4*T2^5 + 
      16300*T1^5*T2^5 - 8189*T1^6*T2^5 - 8189*T1^7*T2^5 + 16300*T1^8*T2^5 - 
      6161*T1^9*T2^5 - 1964*T1^10*T2^5 + 2176*T1^11*T2^5 - 124*T1^12*T2^5 - 
      61*T1^13*T2^5 + 31*T2^6 + 267*T1*T2^6 - 1576*T1^2*T2^6 - 
      1964*T1^3*T2^6 + 10352*T1^4*T2^6 - 8189*T1^5*T2^6 - 17428*T1^6*T2^6 + 
      30560*T1^7*T2^6 - 17428*T1^8*T2^6 - 8189*T1^9*T2^6 + 10352*T1^10*T2^6 - 
      1964*T1^11*T2^6 - 1576*T1^12*T2^6 + 267*T1^13*T2^6 + 31*T1^14*T2^6 - 
      9*T2^7 - 197*T1*T2^7 + 323*T1^2*T2^7 + 4130*T1^3*T2^7 - 
      6161*T1^4*T2^7 - 8189*T1^5*T2^7 + 30560*T1^6*T2^7 - 16242*T1^7*T2^7 - 
      16242*T1^8*T2^7 + 30560*T1^9*T2^7 - 8189*T1^10*T2^7 - 6161*T1^11*T2^7 + 
      4130*T1^12*T2^7 + 323*T1^13*T2^7 - 197*T1^14*T2^7 - 9*T1^15*T2^7 + 
      T2^8 + 72*T1*T2^8 + 262*T1^2*T2^8 - 2386*T1^3*T2^8 - 2442*T1^4*T2^8 + 
      16300*T1^5*T2^8 - 17428*T1^6*T2^8 - 16242*T1^7*T2^8 + 34560*T1^8*T2^8 - 
      16242*T1^9*T2^8 - 17428*T1^10*T2^8 + 16300*T1^11*T2^8 - 
      2442*T1^12*T2^8 - 2386*T1^13*T2^8 + 262*T1^14*T2^8 + 72*T1^15*T2^8 + 
      T1^16*T2^8 - 9*T1*T2^9 - 197*T1^2*T2^9 + 323*T1^3*T2^9 + 
      4130*T1^4*T2^9 - 6161*T1^5*T2^9 - 8189*T1^6*T2^9 + 30560*T1^7*T2^9 - 
      16242*T1^8*T2^9 - 16242*T1^9*T2^9 + 30560*T1^10*T2^9 - 
      8189*T1^11*T2^9 - 6161*T1^12*T2^9 + 4130*T1^13*T2^9 + 323*T1^14*T2^9 - 
      197*T1^15*T2^9 - 9*T1^16*T2^9 + 31*T1^2*T2^10 + 267*T1^3*T2^10 - 
      1576*T1^4*T2^10 - 1964*T1^5*T2^10 + 10352*T1^6*T2^10 - 
      8189*T1^7*T2^10 - 17428*T1^8*T2^10 + 30560*T1^9*T2^10 - 
      17428*T1^10*T2^10 - 8189*T1^11*T2^10 + 10352*T1^12*T2^10 - 
      1964*T1^13*T2^10 - 1576*T1^14*T2^10 + 267*T1^15*T2^10 + 
      31*T1^16*T2^10 - 61*T1^3*T2^11 - 124*T1^4*T2^11 + 2176*T1^5*T2^11 - 
      1964*T1^6*T2^11 - 6161*T1^7*T2^11 + 16300*T1^8*T2^11 - 
      8189*T1^9*T2^11 - 8189*T1^10*T2^11 + 16300*T1^11*T2^11 - 
      6161*T1^12*T2^11 - 1964*T1^13*T2^11 + 2176*T1^14*T2^11 - 
      124*T1^15*T2^11 - 61*T1^16*T2^11 + 75*T1^4*T2^12 - 124*T1^5*T2^12 - 
      1576*T1^6*T2^12 + 4130*T1^7*T2^12 - 2442*T1^8*T2^12 - 6161*T1^9*T2^12 + 
      10352*T1^10*T2^12 - 6161*T1^11*T2^12 - 2442*T1^12*T2^12 + 
      4130*T1^13*T2^12 - 1576*T1^14*T2^12 - 124*T1^15*T2^12 + 
      75*T1^16*T2^12 - 61*T1^5*T2^13 + 267*T1^6*T2^13 + 323*T1^7*T2^13 - 
      2386*T1^8*T2^13 + 4130*T1^9*T2^13 - 1964*T1^10*T2^13 - 
      1964*T1^11*T2^13 + 4130*T1^12*T2^13 - 2386*T1^13*T2^13 + 
      323*T1^14*T2^13 + 267*T1^15*T2^13 - 61*T1^16*T2^13 + 31*T1^6*T2^14 - 
      197*T1^7*T2^14 + 262*T1^8*T2^14 + 323*T1^9*T2^14 - 1576*T1^10*T2^14 + 
      2176*T1^11*T2^14 - 1576*T1^12*T2^14 + 323*T1^13*T2^14 + 
      262*T1^14*T2^14 - 197*T1^15*T2^14 + 31*T1^16*T2^14 - 9*T1^7*T2^15 + 
      72*T1^8*T2^15 - 197*T1^9*T2^15 + 267*T1^10*T2^15 - 124*T1^11*T2^15 - 
      124*T1^12*T2^15 + 267*T1^13*T2^15 - 197*T1^14*T2^15 + 72*T1^15*T2^15 - 
      9*T1^16*T2^15 + T1^8*T2^16 - 9*T1^9*T2^16 + 31*T1^10*T2^16 - 
      61*T1^11*T2^16 + 75*T1^12*T2^16 - 61*T1^13*T2^16 + 31*T1^14*T2^16 - 
      9*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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), 
   (2 - 10*T1 + 24*T1^2 - 40*T1^3 + 50*T1^4 - 54*T1^5 + 50*T1^6 - 40*T1^7 + 
     24*T1^8 - 10*T1^9 + 2*T1^10 - 10*T2 + 40*T1*T2 - 70*T1^2*T2 + 
     80*T1^3*T2 - 50*T1^4*T2 + 20*T1^5*T2 + 20*T1^6*T2 - 50*T1^7*T2 + 
     80*T1^8*T2 - 70*T1^9*T2 + 40*T1^10*T2 - 10*T1^11*T2 + 24*T2^2 - 
     70*T1*T2^2 + 60*T1^2*T2^2 + 9*T1^3*T2^2 - 132*T1^4*T2^2 + 
     153*T1^5*T2^2 - 184*T1^6*T2^2 + 153*T1^7*T2^2 - 132*T1^8*T2^2 + 
     9*T1^9*T2^2 + 60*T1^10*T2^2 - 70*T1^11*T2^2 + 24*T1^12*T2^2 - 40*T2^3 + 
     80*T1*T2^3 + 9*T1^2*T2^3 - 112*T1^3*T2^3 + 212*T1^4*T2^3 - 
     52*T1^5*T2^3 + 54*T1^6*T2^3 + 54*T1^7*T2^3 - 52*T1^8*T2^3 + 
     212*T1^9*T2^3 - 112*T1^10*T2^3 + 9*T1^11*T2^3 + 80*T1^12*T2^3 - 
     40*T1^13*T2^3 + 50*T2^4 - 50*T1*T2^4 - 132*T1^2*T2^4 + 212*T1^3*T2^4 - 
     287*T1^4*T2^4 + 33*T1^5*T2^4 - 253*T1^6*T2^4 + 151*T1^7*T2^4 - 
     253*T1^8*T2^4 + 33*T1^9*T2^4 - 287*T1^10*T2^4 + 212*T1^11*T2^4 - 
     132*T1^12*T2^4 - 50*T1^13*T2^4 + 50*T1^14*T2^4 - 54*T2^5 + 20*T1*T2^5 + 
     153*T1^2*T2^5 - 52*T1^3*T2^5 + 33*T1^4*T2^5 + 304*T1^5*T2^5 + 
     152*T1^6*T2^5 + 93*T1^7*T2^5 + 93*T1^8*T2^5 + 152*T1^9*T2^5 + 
     304*T1^10*T2^5 + 33*T1^11*T2^5 - 52*T1^12*T2^5 + 153*T1^13*T2^5 + 
     20*T1^14*T2^5 - 54*T1^15*T2^5 + 50*T2^6 + 20*T1*T2^6 - 184*T1^2*T2^6 + 
     54*T1^3*T2^6 - 253*T1^4*T2^6 + 152*T1^5*T2^6 - 978*T1^6*T2^6 + 
     603*T1^7*T2^6 - 930*T1^8*T2^6 + 603*T1^9*T2^6 - 978*T1^10*T2^6 + 
     152*T1^11*T2^6 - 253*T1^12*T2^6 + 54*T1^13*T2^6 - 184*T1^14*T2^6 + 
     20*T1^15*T2^6 + 50*T1^16*T2^6 - 40*T2^7 - 50*T1*T2^7 + 153*T1^2*T2^7 + 
     54*T1^3*T2^7 + 151*T1^4*T2^7 + 93*T1^5*T2^7 + 603*T1^6*T2^7 + 
     178*T1^7*T2^7 + 199*T1^8*T2^7 + 199*T1^9*T2^7 + 178*T1^10*T2^7 + 
     603*T1^11*T2^7 + 93*T1^12*T2^7 + 151*T1^13*T2^7 + 54*T1^14*T2^7 + 
     153*T1^15*T2^7 - 50*T1^16*T2^7 - 40*T1^17*T2^7 + 24*T2^8 + 80*T1*T2^8 - 
     132*T1^2*T2^8 - 52*T1^3*T2^8 - 253*T1^4*T2^8 + 93*T1^5*T2^8 - 
     930*T1^6*T2^8 + 199*T1^7*T2^8 - 942*T1^8*T2^8 + 606*T1^9*T2^8 - 
     942*T1^10*T2^8 + 199*T1^11*T2^8 - 930*T1^12*T2^8 + 93*T1^13*T2^8 - 
     253*T1^14*T2^8 - 52*T1^15*T2^8 - 132*T1^16*T2^8 + 80*T1^17*T2^8 + 
     24*T1^18*T2^8 - 10*T2^9 - 70*T1*T2^9 + 9*T1^2*T2^9 + 212*T1^3*T2^9 + 
     33*T1^4*T2^9 + 152*T1^5*T2^9 + 603*T1^6*T2^9 + 199*T1^7*T2^9 + 
     606*T1^8*T2^9 + 42*T1^9*T2^9 + 42*T1^10*T2^9 + 606*T1^11*T2^9 + 
     199*T1^12*T2^9 + 603*T1^13*T2^9 + 152*T1^14*T2^9 + 33*T1^15*T2^9 + 
     212*T1^16*T2^9 + 9*T1^17*T2^9 - 70*T1^18*T2^9 - 10*T1^19*T2^9 + 
     2*T2^10 + 40*T1*T2^10 + 60*T1^2*T2^10 - 112*T1^3*T2^10 - 
     287*T1^4*T2^10 + 304*T1^5*T2^10 - 978*T1^6*T2^10 + 178*T1^7*T2^10 - 
     942*T1^8*T2^10 + 42*T1^9*T2^10 - 276*T1^10*T2^10 + 42*T1^11*T2^10 - 
     942*T1^12*T2^10 + 178*T1^13*T2^10 - 978*T1^14*T2^10 + 304*T1^15*T2^10 - 
     287*T1^16*T2^10 - 112*T1^17*T2^10 + 60*T1^18*T2^10 + 40*T1^19*T2^10 + 
     2*T1^20*T2^10 - 10*T1*T2^11 - 70*T1^2*T2^11 + 9*T1^3*T2^11 + 
     212*T1^4*T2^11 + 33*T1^5*T2^11 + 152*T1^6*T2^11 + 603*T1^7*T2^11 + 
     199*T1^8*T2^11 + 606*T1^9*T2^11 + 42*T1^10*T2^11 + 42*T1^11*T2^11 + 
     606*T1^12*T2^11 + 199*T1^13*T2^11 + 603*T1^14*T2^11 + 152*T1^15*T2^11 + 
     33*T1^16*T2^11 + 212*T1^17*T2^11 + 9*T1^18*T2^11 - 70*T1^19*T2^11 - 
     10*T1^20*T2^11 + 24*T1^2*T2^12 + 80*T1^3*T2^12 - 132*T1^4*T2^12 - 
     52*T1^5*T2^12 - 253*T1^6*T2^12 + 93*T1^7*T2^12 - 930*T1^8*T2^12 + 
     199*T1^9*T2^12 - 942*T1^10*T2^12 + 606*T1^11*T2^12 - 942*T1^12*T2^12 + 
     199*T1^13*T2^12 - 930*T1^14*T2^12 + 93*T1^15*T2^12 - 253*T1^16*T2^12 - 
     52*T1^17*T2^12 - 132*T1^18*T2^12 + 80*T1^19*T2^12 + 24*T1^20*T2^12 - 
     40*T1^3*T2^13 - 50*T1^4*T2^13 + 153*T1^5*T2^13 + 54*T1^6*T2^13 + 
     151*T1^7*T2^13 + 93*T1^8*T2^13 + 603*T1^9*T2^13 + 178*T1^10*T2^13 + 
     199*T1^11*T2^13 + 199*T1^12*T2^13 + 178*T1^13*T2^13 + 603*T1^14*T2^13 + 
     93*T1^15*T2^13 + 151*T1^16*T2^13 + 54*T1^17*T2^13 + 153*T1^18*T2^13 - 
     50*T1^19*T2^13 - 40*T1^20*T2^13 + 50*T1^4*T2^14 + 20*T1^5*T2^14 - 
     184*T1^6*T2^14 + 54*T1^7*T2^14 - 253*T1^8*T2^14 + 152*T1^9*T2^14 - 
     978*T1^10*T2^14 + 603*T1^11*T2^14 - 930*T1^12*T2^14 + 603*T1^13*T2^14 - 
     978*T1^14*T2^14 + 152*T1^15*T2^14 - 253*T1^16*T2^14 + 54*T1^17*T2^14 - 
     184*T1^18*T2^14 + 20*T1^19*T2^14 + 50*T1^20*T2^14 - 54*T1^5*T2^15 + 
     20*T1^6*T2^15 + 153*T1^7*T2^15 - 52*T1^8*T2^15 + 33*T1^9*T2^15 + 
     304*T1^10*T2^15 + 152*T1^11*T2^15 + 93*T1^12*T2^15 + 93*T1^13*T2^15 + 
     152*T1^14*T2^15 + 304*T1^15*T2^15 + 33*T1^16*T2^15 - 52*T1^17*T2^15 + 
     153*T1^18*T2^15 + 20*T1^19*T2^15 - 54*T1^20*T2^15 + 50*T1^6*T2^16 - 
     50*T1^7*T2^16 - 132*T1^8*T2^16 + 212*T1^9*T2^16 - 287*T1^10*T2^16 + 
     33*T1^11*T2^16 - 253*T1^12*T2^16 + 151*T1^13*T2^16 - 253*T1^14*T2^16 + 
     33*T1^15*T2^16 - 287*T1^16*T2^16 + 212*T1^17*T2^16 - 132*T1^18*T2^16 - 
     50*T1^19*T2^16 + 50*T1^20*T2^16 - 40*T1^7*T2^17 + 80*T1^8*T2^17 + 
     9*T1^9*T2^17 - 112*T1^10*T2^17 + 212*T1^11*T2^17 - 52*T1^12*T2^17 + 
     54*T1^13*T2^17 + 54*T1^14*T2^17 - 52*T1^15*T2^17 + 212*T1^16*T2^17 - 
     112*T1^17*T2^17 + 9*T1^18*T2^17 + 80*T1^19*T2^17 - 40*T1^20*T2^17 + 
     24*T1^8*T2^18 - 70*T1^9*T2^18 + 60*T1^10*T2^18 + 9*T1^11*T2^18 - 
     132*T1^12*T2^18 + 153*T1^13*T2^18 - 184*T1^14*T2^18 + 153*T1^15*T2^18 - 
     132*T1^16*T2^18 + 9*T1^17*T2^18 + 60*T1^18*T2^18 - 70*T1^19*T2^18 + 
     24*T1^20*T2^18 - 10*T1^9*T2^19 + 40*T1^10*T2^19 - 70*T1^11*T2^19 + 
     80*T1^12*T2^19 - 50*T1^13*T2^19 + 20*T1^14*T2^19 + 20*T1^15*T2^19 - 
     50*T1^16*T2^19 + 80*T1^17*T2^19 - 70*T1^18*T2^19 + 40*T1^19*T2^19 - 
     10*T1^20*T2^19 + 2*T1^10*T2^20 - 10*T1^11*T2^20 + 24*T1^12*T2^20 - 
     40*T1^13*T2^20 + 50*T1^14*T2^20 - 54*T1^15*T2^20 + 50*T1^16*T2^20 - 
     40*T1^17*T2^20 + 24*T1^18*T2^20 - 10*T1^19*T2^20 + 2*T1^20*T2^20)/
    (T1^10*T2^10)}, 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), (9 - 49*T1 + 124*T1^2 - 203*T1^3 + 233*T1^4 - 203*T1^5 + 
     124*T1^6 - 49*T1^7 + 9*T1^8 - 49*T2 + 218*T1*T2 - 409*T1^2*T2 + 
     431*T1^3*T2 - 164*T1^4*T2 - 164*T1^5*T2 + 431*T1^6*T2 - 409*T1^7*T2 + 
     218*T1^8*T2 - 49*T1^9*T2 + 124*T2^2 - 409*T1*T2^2 + 370*T1^2*T2^2 + 
     253*T1^3*T2^2 - 1205*T1^4*T2^2 + 1458*T1^5*T2^2 - 1205*T1^6*T2^2 + 
     253*T1^7*T2^2 + 370*T1^8*T2^2 - 409*T1^9*T2^2 + 124*T1^10*T2^2 - 
     203*T2^3 + 431*T1*T2^3 + 253*T1^2*T2^3 - 1424*T1^3*T2^3 + 
     2038*T1^4*T2^3 - 642*T1^5*T2^3 - 642*T1^6*T2^3 + 2038*T1^7*T2^3 - 
     1424*T1^8*T2^3 + 253*T1^9*T2^3 + 431*T1^10*T2^3 - 203*T1^11*T2^3 + 
     233*T2^4 - 164*T1*T2^4 - 1205*T1^2*T2^4 + 2038*T1^3*T2^4 - 
     1320*T1^4*T2^4 - 1480*T1^5*T2^4 + 1644*T1^6*T2^4 - 1480*T1^7*T2^4 - 
     1320*T1^8*T2^4 + 2038*T1^9*T2^4 - 1205*T1^10*T2^4 - 164*T1^11*T2^4 + 
     233*T1^12*T2^4 - 203*T2^5 - 164*T1*T2^5 + 1458*T1^2*T2^5 - 
     642*T1^3*T2^5 - 1480*T1^4*T2^5 + 3844*T1^5*T2^5 - 838*T1^6*T2^5 - 
     838*T1^7*T2^5 + 3844*T1^8*T2^5 - 1480*T1^9*T2^5 - 642*T1^10*T2^5 + 
     1458*T1^11*T2^5 - 164*T1^12*T2^5 - 203*T1^13*T2^5 + 124*T2^6 + 
     431*T1*T2^6 - 1205*T1^2*T2^6 - 642*T1^3*T2^6 + 1644*T1^4*T2^6 - 
     838*T1^5*T2^6 - 5093*T1^6*T2^6 + 5281*T1^7*T2^6 - 5093*T1^8*T2^6 - 
     838*T1^9*T2^6 + 1644*T1^10*T2^6 - 642*T1^11*T2^6 - 1205*T1^12*T2^6 + 
     431*T1^13*T2^6 + 124*T1^14*T2^6 - 49*T2^7 - 409*T1*T2^7 + 
     253*T1^2*T2^7 + 2038*T1^3*T2^7 - 1480*T1^4*T2^7 - 838*T1^5*T2^7 + 
     5281*T1^6*T2^7 - 1122*T1^7*T2^7 - 1122*T1^8*T2^7 + 5281*T1^9*T2^7 - 
     838*T1^10*T2^7 - 1480*T1^11*T2^7 + 2038*T1^12*T2^7 + 253*T1^13*T2^7 - 
     409*T1^14*T2^7 - 49*T1^15*T2^7 + 9*T2^8 + 218*T1*T2^8 + 370*T1^2*T2^8 - 
     1424*T1^3*T2^8 - 1320*T1^4*T2^8 + 3844*T1^5*T2^8 - 5093*T1^6*T2^8 - 
     1122*T1^7*T2^8 + 1140*T1^8*T2^8 - 1122*T1^9*T2^8 - 5093*T1^10*T2^8 + 
     3844*T1^11*T2^8 - 1320*T1^12*T2^8 - 1424*T1^13*T2^8 + 370*T1^14*T2^8 + 
     218*T1^15*T2^8 + 9*T1^16*T2^8 - 49*T1*T2^9 - 409*T1^2*T2^9 + 
     253*T1^3*T2^9 + 2038*T1^4*T2^9 - 1480*T1^5*T2^9 - 838*T1^6*T2^9 + 
     5281*T1^7*T2^9 - 1122*T1^8*T2^9 - 1122*T1^9*T2^9 + 5281*T1^10*T2^9 - 
     838*T1^11*T2^9 - 1480*T1^12*T2^9 + 2038*T1^13*T2^9 + 253*T1^14*T2^9 - 
     409*T1^15*T2^9 - 49*T1^16*T2^9 + 124*T1^2*T2^10 + 431*T1^3*T2^10 - 
     1205*T1^4*T2^10 - 642*T1^5*T2^10 + 1644*T1^6*T2^10 - 838*T1^7*T2^10 - 
     5093*T1^8*T2^10 + 5281*T1^9*T2^10 - 5093*T1^10*T2^10 - 838*T1^11*T2^10 + 
     1644*T1^12*T2^10 - 642*T1^13*T2^10 - 1205*T1^14*T2^10 + 
     431*T1^15*T2^10 + 124*T1^16*T2^10 - 203*T1^3*T2^11 - 164*T1^4*T2^11 + 
     1458*T1^5*T2^11 - 642*T1^6*T2^11 - 1480*T1^7*T2^11 + 3844*T1^8*T2^11 - 
     838*T1^9*T2^11 - 838*T1^10*T2^11 + 3844*T1^11*T2^11 - 1480*T1^12*T2^11 - 
     642*T1^13*T2^11 + 1458*T1^14*T2^11 - 164*T1^15*T2^11 - 203*T1^16*T2^11 + 
     233*T1^4*T2^12 - 164*T1^5*T2^12 - 1205*T1^6*T2^12 + 2038*T1^7*T2^12 - 
     1320*T1^8*T2^12 - 1480*T1^9*T2^12 + 1644*T1^10*T2^12 - 
     1480*T1^11*T2^12 - 1320*T1^12*T2^12 + 2038*T1^13*T2^12 - 
     1205*T1^14*T2^12 - 164*T1^15*T2^12 + 233*T1^16*T2^12 - 203*T1^5*T2^13 + 
     431*T1^6*T2^13 + 253*T1^7*T2^13 - 1424*T1^8*T2^13 + 2038*T1^9*T2^13 - 
     642*T1^10*T2^13 - 642*T1^11*T2^13 + 2038*T1^12*T2^13 - 
     1424*T1^13*T2^13 + 253*T1^14*T2^13 + 431*T1^15*T2^13 - 203*T1^16*T2^13 + 
     124*T1^6*T2^14 - 409*T1^7*T2^14 + 370*T1^8*T2^14 + 253*T1^9*T2^14 - 
     1205*T1^10*T2^14 + 1458*T1^11*T2^14 - 1205*T1^12*T2^14 + 
     253*T1^13*T2^14 + 370*T1^14*T2^14 - 409*T1^15*T2^14 + 124*T1^16*T2^14 - 
     49*T1^7*T2^15 + 218*T1^8*T2^15 - 409*T1^9*T2^15 + 431*T1^10*T2^15 - 
     164*T1^11*T2^15 - 164*T1^12*T2^15 + 431*T1^13*T2^15 - 409*T1^14*T2^15 + 
     218*T1^15*T2^15 - 49*T1^16*T2^15 + 9*T1^8*T2^16 - 49*T1^9*T2^16 + 
     124*T1^10*T2^16 - 203*T1^11*T2^16 + 233*T1^12*T2^16 - 203*T1^13*T2^16 + 
     124*T1^14*T2^16 - 49*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8)}, 
 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), (9 - 57*T1 + 164*T1^2 - 291*T1^3 + 345*T1^4 - 291*T1^5 + 
     164*T1^6 - 57*T1^7 + 9*T1^8 - 57*T2 + 304*T1*T2 - 677*T1^2*T2 + 
     803*T1^3*T2 - 342*T1^4*T2 - 342*T1^5*T2 + 803*T1^6*T2 - 677*T1^7*T2 + 
     304*T1^8*T2 - 57*T1^9*T2 + 164*T2^2 - 677*T1*T2^2 + 849*T1^2*T2^2 + 
     299*T1^3*T2^2 - 2515*T1^4*T2^2 + 3395*T1^5*T2^2 - 2515*T1^6*T2^2 + 
     299*T1^7*T2^2 + 849*T1^8*T2^2 - 677*T1^9*T2^2 + 164*T1^10*T2^2 - 
     291*T2^3 + 803*T1*T2^3 + 299*T1^2*T2^3 - 3434*T1^3*T2^3 + 
     5645*T1^4*T2^3 - 2336*T1^5*T2^3 - 2336*T1^6*T2^3 + 5645*T1^7*T2^3 - 
     3434*T1^8*T2^3 + 299*T1^9*T2^3 + 803*T1^10*T2^3 - 291*T1^11*T2^3 + 
     345*T2^4 - 342*T1*T2^4 - 2515*T1^2*T2^4 + 5645*T1^3*T2^4 - 
     3409*T1^4*T2^4 - 6181*T1^5*T2^4 + 9221*T1^6*T2^4 - 6181*T1^7*T2^4 - 
     3409*T1^8*T2^4 + 5645*T1^9*T2^4 - 2515*T1^10*T2^4 - 342*T1^11*T2^4 + 
     345*T1^12*T2^4 - 291*T2^5 - 342*T1*T2^5 + 3395*T1^2*T2^5 - 
     2336*T1^3*T2^5 - 6181*T1^4*T2^5 + 15472*T1^5*T2^5 - 5936*T1^6*T2^5 - 
     5936*T1^7*T2^5 + 15472*T1^8*T2^5 - 6181*T1^9*T2^5 - 2336*T1^10*T2^5 + 
     3395*T1^11*T2^5 - 342*T1^12*T2^5 - 291*T1^13*T2^5 + 164*T2^6 + 
     803*T1*T2^6 - 2515*T1^2*T2^6 - 2336*T1^3*T2^6 + 9221*T1^4*T2^6 - 
     5936*T1^5*T2^6 - 17434*T1^6*T2^6 + 23804*T1^7*T2^6 - 17434*T1^8*T2^6 - 
     5936*T1^9*T2^6 + 9221*T1^10*T2^6 - 2336*T1^11*T2^6 - 2515*T1^12*T2^6 + 
     803*T1^13*T2^6 + 164*T1^14*T2^6 - 57*T2^7 - 677*T1*T2^7 + 
     299*T1^2*T2^7 + 5645*T1^3*T2^7 - 6181*T1^4*T2^7 - 5936*T1^5*T2^7 + 
     23804*T1^6*T2^7 - 8798*T1^7*T2^7 - 8798*T1^8*T2^7 + 23804*T1^9*T2^7 - 
     5936*T1^10*T2^7 - 6181*T1^11*T2^7 + 5645*T1^12*T2^7 + 299*T1^13*T2^7 - 
     677*T1^14*T2^7 - 57*T1^15*T2^7 + 9*T2^8 + 304*T1*T2^8 + 849*T1^2*T2^8 - 
     3434*T1^3*T2^8 - 3409*T1^4*T2^8 + 15472*T1^5*T2^8 - 17434*T1^6*T2^8 - 
     8798*T1^7*T2^8 + 15144*T1^8*T2^8 - 8798*T1^9*T2^8 - 17434*T1^10*T2^8 + 
     15472*T1^11*T2^8 - 3409*T1^12*T2^8 - 3434*T1^13*T2^8 + 849*T1^14*T2^8 + 
     304*T1^15*T2^8 + 9*T1^16*T2^8 - 57*T1*T2^9 - 677*T1^2*T2^9 + 
     299*T1^3*T2^9 + 5645*T1^4*T2^9 - 6181*T1^5*T2^9 - 5936*T1^6*T2^9 + 
     23804*T1^7*T2^9 - 8798*T1^8*T2^9 - 8798*T1^9*T2^9 + 23804*T1^10*T2^9 - 
     5936*T1^11*T2^9 - 6181*T1^12*T2^9 + 5645*T1^13*T2^9 + 299*T1^14*T2^9 - 
     677*T1^15*T2^9 - 57*T1^16*T2^9 + 164*T1^2*T2^10 + 803*T1^3*T2^10 - 
     2515*T1^4*T2^10 - 2336*T1^5*T2^10 + 9221*T1^6*T2^10 - 5936*T1^7*T2^10 - 
     17434*T1^8*T2^10 + 23804*T1^9*T2^10 - 17434*T1^10*T2^10 - 
     5936*T1^11*T2^10 + 9221*T1^12*T2^10 - 2336*T1^13*T2^10 - 
     2515*T1^14*T2^10 + 803*T1^15*T2^10 + 164*T1^16*T2^10 - 291*T1^3*T2^11 - 
     342*T1^4*T2^11 + 3395*T1^5*T2^11 - 2336*T1^6*T2^11 - 6181*T1^7*T2^11 + 
     15472*T1^8*T2^11 - 5936*T1^9*T2^11 - 5936*T1^10*T2^11 + 
     15472*T1^11*T2^11 - 6181*T1^12*T2^11 - 2336*T1^13*T2^11 + 
     3395*T1^14*T2^11 - 342*T1^15*T2^11 - 291*T1^16*T2^11 + 345*T1^4*T2^12 - 
     342*T1^5*T2^12 - 2515*T1^6*T2^12 + 5645*T1^7*T2^12 - 3409*T1^8*T2^12 - 
     6181*T1^9*T2^12 + 9221*T1^10*T2^12 - 6181*T1^11*T2^12 - 
     3409*T1^12*T2^12 + 5645*T1^13*T2^12 - 2515*T1^14*T2^12 - 
     342*T1^15*T2^12 + 345*T1^16*T2^12 - 291*T1^5*T2^13 + 803*T1^6*T2^13 + 
     299*T1^7*T2^13 - 3434*T1^8*T2^13 + 5645*T1^9*T2^13 - 2336*T1^10*T2^13 - 
     2336*T1^11*T2^13 + 5645*T1^12*T2^13 - 3434*T1^13*T2^13 + 
     299*T1^14*T2^13 + 803*T1^15*T2^13 - 291*T1^16*T2^13 + 164*T1^6*T2^14 - 
     677*T1^7*T2^14 + 849*T1^8*T2^14 + 299*T1^9*T2^14 - 2515*T1^10*T2^14 + 
     3395*T1^11*T2^14 - 2515*T1^12*T2^14 + 299*T1^13*T2^14 + 
     849*T1^14*T2^14 - 677*T1^15*T2^14 + 164*T1^16*T2^14 - 57*T1^7*T2^15 + 
     304*T1^8*T2^15 - 677*T1^9*T2^15 + 803*T1^10*T2^15 - 342*T1^11*T2^15 - 
     342*T1^12*T2^15 + 803*T1^13*T2^15 - 677*T1^14*T2^15 + 304*T1^15*T2^15 - 
     57*T1^16*T2^15 + 9*T1^8*T2^16 - 57*T1^9*T2^16 + 164*T1^10*T2^16 - 
     291*T1^11*T2^16 + 345*T1^12*T2^16 - 291*T1^13*T2^16 + 164*T1^14*T2^16 - 
     57*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8)}, 
 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), 
   (7 - 35*T1 + 80*T1^2 - 117*T1^3 + 127*T1^4 - 117*T1^5 + 80*T1^6 - 
     35*T1^7 + 7*T1^8 - 35*T2 + 140*T1*T2 - 225*T1^2*T2 + 185*T1^3*T2 - 
     50*T1^4*T2 - 50*T1^5*T2 + 185*T1^6*T2 - 225*T1^7*T2 + 140*T1^8*T2 - 
     35*T1^9*T2 + 80*T2^2 - 225*T1*T2^2 + 107*T1^2*T2^2 + 318*T1^3*T2^2 - 
     675*T1^4*T2^2 + 653*T1^5*T2^2 - 675*T1^6*T2^2 + 318*T1^7*T2^2 + 
     107*T1^8*T2^2 - 225*T1^9*T2^2 + 80*T1^10*T2^2 - 117*T2^3 + 185*T1*T2^3 + 
     318*T1^2*T2^3 - 928*T1^3*T2^3 + 854*T1^4*T2^3 - 121*T1^5*T2^3 - 
     121*T1^6*T2^3 + 854*T1^7*T2^3 - 928*T1^8*T2^3 + 318*T1^9*T2^3 + 
     185*T1^10*T2^3 - 117*T1^11*T2^3 + 127*T2^4 - 50*T1*T2^4 - 
     675*T1^2*T2^4 + 854*T1^3*T2^4 + 82*T1^4*T2^4 - 1129*T1^5*T2^4 + 
     852*T1^6*T2^4 - 1129*T1^7*T2^4 + 82*T1^8*T2^4 + 854*T1^9*T2^4 - 
     675*T1^10*T2^4 - 50*T1^11*T2^4 + 127*T1^12*T2^4 - 117*T2^5 - 
     50*T1*T2^5 + 653*T1^2*T2^5 - 121*T1^3*T2^5 - 1129*T1^4*T2^5 + 
     1400*T1^5*T2^5 - 127*T1^6*T2^5 - 127*T1^7*T2^5 + 1400*T1^8*T2^5 - 
     1129*T1^9*T2^5 - 121*T1^10*T2^5 + 653*T1^11*T2^5 - 50*T1^12*T2^5 - 
     117*T1^13*T2^5 + 80*T2^6 + 185*T1*T2^6 - 675*T1^2*T2^6 - 121*T1^3*T2^6 + 
     852*T1^4*T2^6 - 127*T1^5*T2^6 - 1372*T1^6*T2^6 + 1256*T1^7*T2^6 - 
     1372*T1^8*T2^6 - 127*T1^9*T2^6 + 852*T1^10*T2^6 - 121*T1^11*T2^6 - 
     675*T1^12*T2^6 + 185*T1^13*T2^6 + 80*T1^14*T2^6 - 35*T2^7 - 
     225*T1*T2^7 + 318*T1^2*T2^7 + 854*T1^3*T2^7 - 1129*T1^4*T2^7 - 
     127*T1^5*T2^7 + 1256*T1^6*T2^7 - 402*T1^7*T2^7 - 402*T1^8*T2^7 + 
     1256*T1^9*T2^7 - 127*T1^10*T2^7 - 1129*T1^11*T2^7 + 854*T1^12*T2^7 + 
     318*T1^13*T2^7 - 225*T1^14*T2^7 - 35*T1^15*T2^7 + 7*T2^8 + 140*T1*T2^8 + 
     107*T1^2*T2^8 - 928*T1^3*T2^8 + 82*T1^4*T2^8 + 1400*T1^5*T2^8 - 
     1372*T1^6*T2^8 - 402*T1^7*T2^8 + 972*T1^8*T2^8 - 402*T1^9*T2^8 - 
     1372*T1^10*T2^8 + 1400*T1^11*T2^8 + 82*T1^12*T2^8 - 928*T1^13*T2^8 + 
     107*T1^14*T2^8 + 140*T1^15*T2^8 + 7*T1^16*T2^8 - 35*T1*T2^9 - 
     225*T1^2*T2^9 + 318*T1^3*T2^9 + 854*T1^4*T2^9 - 1129*T1^5*T2^9 - 
     127*T1^6*T2^9 + 1256*T1^7*T2^9 - 402*T1^8*T2^9 - 402*T1^9*T2^9 + 
     1256*T1^10*T2^9 - 127*T1^11*T2^9 - 1129*T1^12*T2^9 + 854*T1^13*T2^9 + 
     318*T1^14*T2^9 - 225*T1^15*T2^9 - 35*T1^16*T2^9 + 80*T1^2*T2^10 + 
     185*T1^3*T2^10 - 675*T1^4*T2^10 - 121*T1^5*T2^10 + 852*T1^6*T2^10 - 
     127*T1^7*T2^10 - 1372*T1^8*T2^10 + 1256*T1^9*T2^10 - 1372*T1^10*T2^10 - 
     127*T1^11*T2^10 + 852*T1^12*T2^10 - 121*T1^13*T2^10 - 675*T1^14*T2^10 + 
     185*T1^15*T2^10 + 80*T1^16*T2^10 - 117*T1^3*T2^11 - 50*T1^4*T2^11 + 
     653*T1^5*T2^11 - 121*T1^6*T2^11 - 1129*T1^7*T2^11 + 1400*T1^8*T2^11 - 
     127*T1^9*T2^11 - 127*T1^10*T2^11 + 1400*T1^11*T2^11 - 1129*T1^12*T2^11 - 
     121*T1^13*T2^11 + 653*T1^14*T2^11 - 50*T1^15*T2^11 - 117*T1^16*T2^11 + 
     127*T1^4*T2^12 - 50*T1^5*T2^12 - 675*T1^6*T2^12 + 854*T1^7*T2^12 + 
     82*T1^8*T2^12 - 1129*T1^9*T2^12 + 852*T1^10*T2^12 - 1129*T1^11*T2^12 + 
     82*T1^12*T2^12 + 854*T1^13*T2^12 - 675*T1^14*T2^12 - 50*T1^15*T2^12 + 
     127*T1^16*T2^12 - 117*T1^5*T2^13 + 185*T1^6*T2^13 + 318*T1^7*T2^13 - 
     928*T1^8*T2^13 + 854*T1^9*T2^13 - 121*T1^10*T2^13 - 121*T1^11*T2^13 + 
     854*T1^12*T2^13 - 928*T1^13*T2^13 + 318*T1^14*T2^13 + 185*T1^15*T2^13 - 
     117*T1^16*T2^13 + 80*T1^6*T2^14 - 225*T1^7*T2^14 + 107*T1^8*T2^14 + 
     318*T1^9*T2^14 - 675*T1^10*T2^14 + 653*T1^11*T2^14 - 675*T1^12*T2^14 + 
     318*T1^13*T2^14 + 107*T1^14*T2^14 - 225*T1^15*T2^14 + 80*T1^16*T2^14 - 
     35*T1^7*T2^15 + 140*T1^8*T2^15 - 225*T1^9*T2^15 + 185*T1^10*T2^15 - 
     50*T1^11*T2^15 - 50*T1^12*T2^15 + 185*T1^13*T2^15 - 225*T1^14*T2^15 + 
     140*T1^15*T2^15 - 35*T1^16*T2^15 + 7*T1^8*T2^16 - 35*T1^9*T2^16 + 
     80*T1^10*T2^16 - 117*T1^11*T2^16 + 127*T1^12*T2^16 - 117*T1^13*T2^16 + 
     80*T1^14*T2^16 - 35*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^8*T2^8)}, 
 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), -((1 - 9*T1 + 29*T1^2 - 51*T1^3 + 59*T1^4 - 51*T1^5 + 29*T1^6 - 
      9*T1^7 + T1^8 - 9*T2 + 72*T1*T2 - 179*T1^2*T2 + 195*T1^3*T2 - 
      70*T1^4*T2 - 70*T1^5*T2 + 195*T1^6*T2 - 179*T1^7*T2 + 72*T1^8*T2 - 
      9*T1^9*T2 + 29*T2^2 - 179*T1*T2^2 + 134*T1^2*T2^2 + 620*T1^3*T2^2 - 
      1568*T1^4*T2^2 + 1792*T1^5*T2^2 - 1568*T1^6*T2^2 + 620*T1^7*T2^2 + 
      134*T1^8*T2^2 - 179*T1^9*T2^2 + 29*T1^10*T2^2 - 51*T2^3 + 195*T1*T2^3 + 
      620*T1^2*T2^3 - 2690*T1^3*T2^3 + 3176*T1^4*T2^3 - 959*T1^5*T2^3 - 
      959*T1^6*T2^3 + 3176*T1^7*T2^3 - 2690*T1^8*T2^3 + 620*T1^9*T2^3 + 
      195*T1^10*T2^3 - 51*T1^11*T2^3 + 59*T2^4 - 70*T1*T2^4 - 
      1568*T1^2*T2^4 + 3176*T1^3*T2^4 + 681*T1^4*T2^4 - 6843*T1^5*T2^4 + 
      7527*T1^6*T2^4 - 6843*T1^7*T2^4 + 681*T1^8*T2^4 + 3176*T1^9*T2^4 - 
      1568*T1^10*T2^4 - 70*T1^11*T2^4 + 59*T1^12*T2^4 - 51*T2^5 - 
      70*T1*T2^5 + 1792*T1^2*T2^5 - 959*T1^3*T2^5 - 6843*T1^4*T2^5 + 
      10506*T1^5*T2^5 - 2829*T1^6*T2^5 - 2829*T1^7*T2^5 + 10506*T1^8*T2^5 - 
      6843*T1^9*T2^5 - 959*T1^10*T2^5 + 1792*T1^11*T2^5 - 70*T1^12*T2^5 - 
      51*T1^13*T2^5 + 29*T2^6 + 195*T1*T2^6 - 1568*T1^2*T2^6 - 
      959*T1^3*T2^6 + 7527*T1^4*T2^6 - 2829*T1^5*T2^6 - 10939*T1^6*T2^6 + 
      12577*T1^7*T2^6 - 10939*T1^8*T2^6 - 2829*T1^9*T2^6 + 7527*T1^10*T2^6 - 
      959*T1^11*T2^6 - 1568*T1^12*T2^6 + 195*T1^13*T2^6 + 29*T1^14*T2^6 - 
      9*T2^7 - 179*T1*T2^7 + 620*T1^2*T2^7 + 3176*T1^3*T2^7 - 
      6843*T1^4*T2^7 - 2829*T1^5*T2^7 + 12577*T1^6*T2^7 - 3818*T1^7*T2^7 - 
      3818*T1^8*T2^7 + 12577*T1^9*T2^7 - 2829*T1^10*T2^7 - 6843*T1^11*T2^7 + 
      3176*T1^12*T2^7 + 620*T1^13*T2^7 - 179*T1^14*T2^7 - 9*T1^15*T2^7 + 
      T2^8 + 72*T1*T2^8 + 134*T1^2*T2^8 - 2690*T1^3*T2^8 + 681*T1^4*T2^8 + 
      10506*T1^5*T2^8 - 10939*T1^6*T2^8 - 3818*T1^7*T2^8 + 6444*T1^8*T2^8 - 
      3818*T1^9*T2^8 - 10939*T1^10*T2^8 + 10506*T1^11*T2^8 + 681*T1^12*T2^8 - 
      2690*T1^13*T2^8 + 134*T1^14*T2^8 + 72*T1^15*T2^8 + T1^16*T2^8 - 
      9*T1*T2^9 - 179*T1^2*T2^9 + 620*T1^3*T2^9 + 3176*T1^4*T2^9 - 
      6843*T1^5*T2^9 - 2829*T1^6*T2^9 + 12577*T1^7*T2^9 - 3818*T1^8*T2^9 - 
      3818*T1^9*T2^9 + 12577*T1^10*T2^9 - 2829*T1^11*T2^9 - 6843*T1^12*T2^9 + 
      3176*T1^13*T2^9 + 620*T1^14*T2^9 - 179*T1^15*T2^9 - 9*T1^16*T2^9 + 
      29*T1^2*T2^10 + 195*T1^3*T2^10 - 1568*T1^4*T2^10 - 959*T1^5*T2^10 + 
      7527*T1^6*T2^10 - 2829*T1^7*T2^10 - 10939*T1^8*T2^10 + 
      12577*T1^9*T2^10 - 10939*T1^10*T2^10 - 2829*T1^11*T2^10 + 
      7527*T1^12*T2^10 - 959*T1^13*T2^10 - 1568*T1^14*T2^10 + 
      195*T1^15*T2^10 + 29*T1^16*T2^10 - 51*T1^3*T2^11 - 70*T1^4*T2^11 + 
      1792*T1^5*T2^11 - 959*T1^6*T2^11 - 6843*T1^7*T2^11 + 10506*T1^8*T2^11 - 
      2829*T1^9*T2^11 - 2829*T1^10*T2^11 + 10506*T1^11*T2^11 - 
      6843*T1^12*T2^11 - 959*T1^13*T2^11 + 1792*T1^14*T2^11 - 
      70*T1^15*T2^11 - 51*T1^16*T2^11 + 59*T1^4*T2^12 - 70*T1^5*T2^12 - 
      1568*T1^6*T2^12 + 3176*T1^7*T2^12 + 681*T1^8*T2^12 - 6843*T1^9*T2^12 + 
      7527*T1^10*T2^12 - 6843*T1^11*T2^12 + 681*T1^12*T2^12 + 
      3176*T1^13*T2^12 - 1568*T1^14*T2^12 - 70*T1^15*T2^12 + 59*T1^16*T2^12 - 
      51*T1^5*T2^13 + 195*T1^6*T2^13 + 620*T1^7*T2^13 - 2690*T1^8*T2^13 + 
      3176*T1^9*T2^13 - 959*T1^10*T2^13 - 959*T1^11*T2^13 + 
      3176*T1^12*T2^13 - 2690*T1^13*T2^13 + 620*T1^14*T2^13 + 
      195*T1^15*T2^13 - 51*T1^16*T2^13 + 29*T1^6*T2^14 - 179*T1^7*T2^14 + 
      134*T1^8*T2^14 + 620*T1^9*T2^14 - 1568*T1^10*T2^14 + 1792*T1^11*T2^14 - 
      1568*T1^12*T2^14 + 620*T1^13*T2^14 + 134*T1^14*T2^14 - 
      179*T1^15*T2^14 + 29*T1^16*T2^14 - 9*T1^7*T2^15 + 72*T1^8*T2^15 - 
      179*T1^9*T2^15 + 195*T1^10*T2^15 - 70*T1^11*T2^15 - 70*T1^12*T2^15 + 
      195*T1^13*T2^15 - 179*T1^14*T2^15 + 72*T1^15*T2^15 - 9*T1^16*T2^15 + 
      T1^8*T2^16 - 9*T1^9*T2^16 + 29*T1^10*T2^16 - 51*T1^11*T2^16 + 
      59*T1^12*T2^16 - 51*T1^13*T2^16 + 29*T1^14*T2^16 - 9*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, 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, 
   (1 - 6*T1 + 15*T1^2 - 24*T1^3 + 29*T1^4 - 24*T1^5 + 15*T1^6 - 6*T1^7 + 
     T1^8 - 6*T2 + 30*T1*T2 - 54*T1^2*T2 + 54*T1^3*T2 - 30*T1^4*T2 - 
     30*T1^5*T2 + 54*T1^6*T2 - 54*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 
     15*T2^2 - 54*T1*T2^2 + 24*T1^2*T2^2 + 82*T1^3*T2^2 - 176*T1^4*T2^2 + 
     288*T1^5*T2^2 - 176*T1^6*T2^2 + 82*T1^7*T2^2 + 24*T1^8*T2^2 - 
     54*T1^9*T2^2 + 15*T1^10*T2^2 - 24*T2^3 + 54*T1*T2^3 + 82*T1^2*T2^3 - 
     166*T1^3*T2^3 + 51*T1^4*T2^3 - 136*T1^5*T2^3 - 136*T1^6*T2^3 + 
     51*T1^7*T2^3 - 166*T1^8*T2^3 + 82*T1^9*T2^3 + 54*T1^10*T2^3 - 
     24*T1^11*T2^3 + 29*T2^4 - 30*T1*T2^4 - 176*T1^2*T2^4 + 51*T1^3*T2^4 - 
     29*T1^4*T2^4 + 1135*T1^5*T2^4 - 1105*T1^6*T2^4 + 1135*T1^7*T2^4 - 
     29*T1^8*T2^4 + 51*T1^9*T2^4 - 176*T1^10*T2^4 - 30*T1^11*T2^4 + 
     29*T1^12*T2^4 - 24*T2^5 - 30*T1*T2^5 + 288*T1^2*T2^5 - 136*T1^3*T2^5 + 
     1135*T1^4*T2^5 - 3326*T1^5*T2^5 + 1054*T1^6*T2^5 + 1054*T1^7*T2^5 - 
     3326*T1^8*T2^5 + 1135*T1^9*T2^5 - 136*T1^10*T2^5 + 288*T1^11*T2^5 - 
     30*T1^12*T2^5 - 24*T1^13*T2^5 + 15*T2^6 + 54*T1*T2^6 - 176*T1^2*T2^6 - 
     136*T1^3*T2^6 - 1105*T1^4*T2^6 + 1054*T1^5*T2^6 + 6031*T1^6*T2^6 - 
     7543*T1^7*T2^6 + 6031*T1^8*T2^6 + 1054*T1^9*T2^6 - 1105*T1^10*T2^6 - 
     136*T1^11*T2^6 - 176*T1^12*T2^6 + 54*T1^13*T2^6 + 15*T1^14*T2^6 - 
     6*T2^7 - 54*T1*T2^7 + 82*T1^2*T2^7 + 51*T1^3*T2^7 + 1135*T1^4*T2^7 + 
     1054*T1^5*T2^7 - 7543*T1^6*T2^7 + 2406*T1^7*T2^7 + 2406*T1^8*T2^7 - 
     7543*T1^9*T2^7 + 1054*T1^10*T2^7 + 1135*T1^11*T2^7 + 51*T1^12*T2^7 + 
     82*T1^13*T2^7 - 54*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 
     24*T1^2*T2^8 - 166*T1^3*T2^8 - 29*T1^4*T2^8 - 3326*T1^5*T2^8 + 
     6031*T1^6*T2^8 + 2406*T1^7*T2^8 - 3420*T1^8*T2^8 + 2406*T1^9*T2^8 + 
     6031*T1^10*T2^8 - 3326*T1^11*T2^8 - 29*T1^12*T2^8 - 166*T1^13*T2^8 + 
     24*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 54*T1^2*T2^9 + 
     82*T1^3*T2^9 + 51*T1^4*T2^9 + 1135*T1^5*T2^9 + 1054*T1^6*T2^9 - 
     7543*T1^7*T2^9 + 2406*T1^8*T2^9 + 2406*T1^9*T2^9 - 7543*T1^10*T2^9 + 
     1054*T1^11*T2^9 + 1135*T1^12*T2^9 + 51*T1^13*T2^9 + 82*T1^14*T2^9 - 
     54*T1^15*T2^9 - 6*T1^16*T2^9 + 15*T1^2*T2^10 + 54*T1^3*T2^10 - 
     176*T1^4*T2^10 - 136*T1^5*T2^10 - 1105*T1^6*T2^10 + 1054*T1^7*T2^10 + 
     6031*T1^8*T2^10 - 7543*T1^9*T2^10 + 6031*T1^10*T2^10 + 
     1054*T1^11*T2^10 - 1105*T1^12*T2^10 - 136*T1^13*T2^10 - 
     176*T1^14*T2^10 + 54*T1^15*T2^10 + 15*T1^16*T2^10 - 24*T1^3*T2^11 - 
     30*T1^4*T2^11 + 288*T1^5*T2^11 - 136*T1^6*T2^11 + 1135*T1^7*T2^11 - 
     3326*T1^8*T2^11 + 1054*T1^9*T2^11 + 1054*T1^10*T2^11 - 
     3326*T1^11*T2^11 + 1135*T1^12*T2^11 - 136*T1^13*T2^11 + 
     288*T1^14*T2^11 - 30*T1^15*T2^11 - 24*T1^16*T2^11 + 29*T1^4*T2^12 - 
     30*T1^5*T2^12 - 176*T1^6*T2^12 + 51*T1^7*T2^12 - 29*T1^8*T2^12 + 
     1135*T1^9*T2^12 - 1105*T1^10*T2^12 + 1135*T1^11*T2^12 - 29*T1^12*T2^12 + 
     51*T1^13*T2^12 - 176*T1^14*T2^12 - 30*T1^15*T2^12 + 29*T1^16*T2^12 - 
     24*T1^5*T2^13 + 54*T1^6*T2^13 + 82*T1^7*T2^13 - 166*T1^8*T2^13 + 
     51*T1^9*T2^13 - 136*T1^10*T2^13 - 136*T1^11*T2^13 + 51*T1^12*T2^13 - 
     166*T1^13*T2^13 + 82*T1^14*T2^13 + 54*T1^15*T2^13 - 24*T1^16*T2^13 + 
     15*T1^6*T2^14 - 54*T1^7*T2^14 + 24*T1^8*T2^14 + 82*T1^9*T2^14 - 
     176*T1^10*T2^14 + 288*T1^11*T2^14 - 176*T1^12*T2^14 + 82*T1^13*T2^14 + 
     24*T1^14*T2^14 - 54*T1^15*T2^14 + 15*T1^16*T2^14 - 6*T1^7*T2^15 + 
     30*T1^8*T2^15 - 54*T1^9*T2^15 + 54*T1^10*T2^15 - 30*T1^11*T2^15 - 
     30*T1^12*T2^15 + 54*T1^13*T2^15 - 54*T1^14*T2^15 + 30*T1^15*T2^15 - 
     6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 15*T1^10*T2^16 - 
     24*T1^11*T2^16 + 29*T1^12*T2^16 - 24*T1^13*T2^16 + 15*T1^14*T2^16 - 
     6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 
   (1 - 4*T1 + 9*T1^2 - 14*T1^3 + 17*T1^4 - 14*T1^5 + 9*T1^6 - 4*T1^7 + 
     T1^8 - 4*T2 + 10*T1*T2 - 14*T1^2*T2 + 13*T1^3*T2 - 9*T1^4*T2 - 
     9*T1^5*T2 + 13*T1^6*T2 - 14*T1^7*T2 + 10*T1^8*T2 - 4*T1^9*T2 + 9*T2^2 - 
     14*T1*T2^2 + 21*T1^2*T2^2 - 58*T1^3*T2^2 + 130*T1^4*T2^2 - 
     143*T1^5*T2^2 + 130*T1^6*T2^2 - 58*T1^7*T2^2 + 21*T1^8*T2^2 - 
     14*T1^9*T2^2 + 9*T1^10*T2^2 - 14*T2^3 + 13*T1*T2^3 - 58*T1^2*T2^3 + 
     230*T1^3*T2^3 - 400*T1^4*T2^3 + 173*T1^5*T2^3 + 173*T1^6*T2^3 - 
     400*T1^7*T2^3 + 230*T1^8*T2^3 - 58*T1^9*T2^3 + 13*T1^10*T2^3 - 
     14*T1^11*T2^3 + 17*T2^4 - 9*T1*T2^4 + 130*T1^2*T2^4 - 400*T1^3*T2^4 + 
     274*T1^4*T2^4 + 841*T1^5*T2^4 - 1346*T1^6*T2^4 + 841*T1^7*T2^4 + 
     274*T1^8*T2^4 - 400*T1^9*T2^4 + 130*T1^10*T2^4 - 9*T1^11*T2^4 + 
     17*T1^12*T2^4 - 14*T2^5 - 9*T1*T2^5 - 143*T1^2*T2^5 + 173*T1^3*T2^5 + 
     841*T1^4*T2^5 - 2566*T1^5*T2^5 + 1234*T1^6*T2^5 + 1234*T1^7*T2^5 - 
     2566*T1^8*T2^5 + 841*T1^9*T2^5 + 173*T1^10*T2^5 - 143*T1^11*T2^5 - 
     9*T1^12*T2^5 - 14*T1^13*T2^5 + 9*T2^6 + 13*T1*T2^6 + 130*T1^2*T2^6 + 
     173*T1^3*T2^6 - 1346*T1^4*T2^6 + 1234*T1^5*T2^6 + 3633*T1^6*T2^6 - 
     5713*T1^7*T2^6 + 3633*T1^8*T2^6 + 1234*T1^9*T2^6 - 1346*T1^10*T2^6 + 
     173*T1^11*T2^6 + 130*T1^12*T2^6 + 13*T1^13*T2^6 + 9*T1^14*T2^6 - 
     4*T2^7 - 14*T1*T2^7 - 58*T1^2*T2^7 - 400*T1^3*T2^7 + 841*T1^4*T2^7 + 
     1234*T1^5*T2^7 - 5713*T1^6*T2^7 + 2604*T1^7*T2^7 + 2604*T1^8*T2^7 - 
     5713*T1^9*T2^7 + 1234*T1^10*T2^7 + 841*T1^11*T2^7 - 400*T1^12*T2^7 - 
     58*T1^13*T2^7 - 14*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 10*T1*T2^8 + 
     21*T1^2*T2^8 + 230*T1^3*T2^8 + 274*T1^4*T2^8 - 2566*T1^5*T2^8 + 
     3633*T1^6*T2^8 + 2604*T1^7*T2^8 - 4944*T1^8*T2^8 + 2604*T1^9*T2^8 + 
     3633*T1^10*T2^8 - 2566*T1^11*T2^8 + 274*T1^12*T2^8 + 230*T1^13*T2^8 + 
     21*T1^14*T2^8 + 10*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 14*T1^2*T2^9 - 
     58*T1^3*T2^9 - 400*T1^4*T2^9 + 841*T1^5*T2^9 + 1234*T1^6*T2^9 - 
     5713*T1^7*T2^9 + 2604*T1^8*T2^9 + 2604*T1^9*T2^9 - 5713*T1^10*T2^9 + 
     1234*T1^11*T2^9 + 841*T1^12*T2^9 - 400*T1^13*T2^9 - 58*T1^14*T2^9 - 
     14*T1^15*T2^9 - 4*T1^16*T2^9 + 9*T1^2*T2^10 + 13*T1^3*T2^10 + 
     130*T1^4*T2^10 + 173*T1^5*T2^10 - 1346*T1^6*T2^10 + 1234*T1^7*T2^10 + 
     3633*T1^8*T2^10 - 5713*T1^9*T2^10 + 3633*T1^10*T2^10 + 
     1234*T1^11*T2^10 - 1346*T1^12*T2^10 + 173*T1^13*T2^10 + 
     130*T1^14*T2^10 + 13*T1^15*T2^10 + 9*T1^16*T2^10 - 14*T1^3*T2^11 - 
     9*T1^4*T2^11 - 143*T1^5*T2^11 + 173*T1^6*T2^11 + 841*T1^7*T2^11 - 
     2566*T1^8*T2^11 + 1234*T1^9*T2^11 + 1234*T1^10*T2^11 - 
     2566*T1^11*T2^11 + 841*T1^12*T2^11 + 173*T1^13*T2^11 - 143*T1^14*T2^11 - 
     9*T1^15*T2^11 - 14*T1^16*T2^11 + 17*T1^4*T2^12 - 9*T1^5*T2^12 + 
     130*T1^6*T2^12 - 400*T1^7*T2^12 + 274*T1^8*T2^12 + 841*T1^9*T2^12 - 
     1346*T1^10*T2^12 + 841*T1^11*T2^12 + 274*T1^12*T2^12 - 400*T1^13*T2^12 + 
     130*T1^14*T2^12 - 9*T1^15*T2^12 + 17*T1^16*T2^12 - 14*T1^5*T2^13 + 
     13*T1^6*T2^13 - 58*T1^7*T2^13 + 230*T1^8*T2^13 - 400*T1^9*T2^13 + 
     173*T1^10*T2^13 + 173*T1^11*T2^13 - 400*T1^12*T2^13 + 230*T1^13*T2^13 - 
     58*T1^14*T2^13 + 13*T1^15*T2^13 - 14*T1^16*T2^13 + 9*T1^6*T2^14 - 
     14*T1^7*T2^14 + 21*T1^8*T2^14 - 58*T1^9*T2^14 + 130*T1^10*T2^14 - 
     143*T1^11*T2^14 + 130*T1^12*T2^14 - 58*T1^13*T2^14 + 21*T1^14*T2^14 - 
     14*T1^15*T2^14 + 9*T1^16*T2^14 - 4*T1^7*T2^15 + 10*T1^8*T2^15 - 
     14*T1^9*T2^15 + 13*T1^10*T2^15 - 9*T1^11*T2^15 - 9*T1^12*T2^15 + 
     13*T1^13*T2^15 - 14*T1^14*T2^15 + 10*T1^15*T2^15 - 4*T1^16*T2^15 + 
     T1^8*T2^16 - 4*T1^9*T2^16 + 9*T1^10*T2^16 - 14*T1^11*T2^16 + 
     17*T1^12*T2^16 - 14*T1^13*T2^16 + 9*T1^14*T2^16 - 4*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, Knot[12, Alternating, 1198] -> 
  {(4 - 22*T + 52*T^2 - 67*T^3 + 52*T^4 - 22*T^5 + 4*T^6)/T^3, 
   (64 - 340*T1 + 784*T1^2 - 1000*T1^3 + 784*T1^4 - 340*T1^5 + 64*T1^6 - 
     340*T2 + 1466*T1*T2 - 2356*T1^2*T2 + 1148*T1^3*T2 + 1148*T1^4*T2 - 
     2356*T1^5*T2 + 1466*T1^6*T2 - 340*T1^7*T2 + 784*T2^2 - 2356*T1*T2^2 + 
     731*T1^2*T2^2 + 5877*T1^3*T2^2 - 9313*T1^4*T2^2 + 5877*T1^5*T2^2 + 
     731*T1^6*T2^2 - 2356*T1^7*T2^2 + 784*T1^8*T2^2 - 1000*T2^3 + 
     1148*T1*T2^3 + 5877*T1^2*T2^3 - 14662*T1^3*T2^3 + 7578*T1^4*T2^3 + 
     7578*T1^5*T2^3 - 14662*T1^6*T2^3 + 5877*T1^7*T2^3 + 1148*T1^8*T2^3 - 
     1000*T1^9*T2^3 + 784*T2^4 + 1148*T1*T2^4 - 9313*T1^2*T2^4 + 
     7578*T1^3*T2^4 + 16922*T1^4*T2^4 - 30190*T1^5*T2^4 + 16922*T1^6*T2^4 + 
     7578*T1^7*T2^4 - 9313*T1^8*T2^4 + 1148*T1^9*T2^4 + 784*T1^10*T2^4 - 
     340*T2^5 - 2356*T1*T2^5 + 5877*T1^2*T2^5 + 7578*T1^3*T2^5 - 
     30190*T1^4*T2^5 + 16558*T1^5*T2^5 + 16558*T1^6*T2^5 - 30190*T1^7*T2^5 + 
     7578*T1^8*T2^5 + 5877*T1^9*T2^5 - 2356*T1^10*T2^5 - 340*T1^11*T2^5 + 
     64*T2^6 + 1466*T1*T2^6 + 731*T1^2*T2^6 - 14662*T1^3*T2^6 + 
     16922*T1^4*T2^6 + 16558*T1^5*T2^6 - 35748*T1^6*T2^6 + 16558*T1^7*T2^6 + 
     16922*T1^8*T2^6 - 14662*T1^9*T2^6 + 731*T1^10*T2^6 + 1466*T1^11*T2^6 + 
     64*T1^12*T2^6 - 340*T1*T2^7 - 2356*T1^2*T2^7 + 5877*T1^3*T2^7 + 
     7578*T1^4*T2^7 - 30190*T1^5*T2^7 + 16558*T1^6*T2^7 + 16558*T1^7*T2^7 - 
     30190*T1^8*T2^7 + 7578*T1^9*T2^7 + 5877*T1^10*T2^7 - 2356*T1^11*T2^7 - 
     340*T1^12*T2^7 + 784*T1^2*T2^8 + 1148*T1^3*T2^8 - 9313*T1^4*T2^8 + 
     7578*T1^5*T2^8 + 16922*T1^6*T2^8 - 30190*T1^7*T2^8 + 16922*T1^8*T2^8 + 
     7578*T1^9*T2^8 - 9313*T1^10*T2^8 + 1148*T1^11*T2^8 + 784*T1^12*T2^8 - 
     1000*T1^3*T2^9 + 1148*T1^4*T2^9 + 5877*T1^5*T2^9 - 14662*T1^6*T2^9 + 
     7578*T1^7*T2^9 + 7578*T1^8*T2^9 - 14662*T1^9*T2^9 + 5877*T1^10*T2^9 + 
     1148*T1^11*T2^9 - 1000*T1^12*T2^9 + 784*T1^4*T2^10 - 2356*T1^5*T2^10 + 
     731*T1^6*T2^10 + 5877*T1^7*T2^10 - 9313*T1^8*T2^10 + 5877*T1^9*T2^10 + 
     731*T1^10*T2^10 - 2356*T1^11*T2^10 + 784*T1^12*T2^10 - 340*T1^5*T2^11 + 
     1466*T1^6*T2^11 - 2356*T1^7*T2^11 + 1148*T1^8*T2^11 + 1148*T1^9*T2^11 - 
     2356*T1^10*T2^11 + 1466*T1^11*T2^11 - 340*T1^12*T2^11 + 64*T1^6*T2^12 - 
     340*T1^7*T2^12 + 784*T1^8*T2^12 - 1000*T1^9*T2^12 + 784*T1^10*T2^12 - 
     340*T1^11*T2^12 + 64*T1^12*T2^12)/(T1^6*T2^6)}, 
 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), 
   -((1 - 3*T1 + 6*T1^2 - 9*T1^3 + 9*T1^4 - 9*T1^5 + 6*T1^6 - 3*T1^7 + T1^8 - 
      3*T2 + 4*T1*T2 - 5*T1^2*T2 + 5*T1^3*T2 + 2*T1^4*T2 + 2*T1^5*T2 + 
      5*T1^6*T2 - 5*T1^7*T2 + 4*T1^8*T2 - 3*T1^9*T2 + 6*T2^2 - 5*T1*T2^2 + 
      19*T1^2*T2^2 - 42*T1^3*T2^2 + 55*T1^4*T2^2 - 83*T1^5*T2^2 + 
      55*T1^6*T2^2 - 42*T1^7*T2^2 + 19*T1^8*T2^2 - 5*T1^9*T2^2 + 
      6*T1^10*T2^2 - 9*T2^3 + 5*T1*T2^3 - 42*T1^2*T2^3 + 70*T1^3*T2^3 - 
      58*T1^4*T2^3 + 49*T1^5*T2^3 + 49*T1^6*T2^3 - 58*T1^7*T2^3 + 
      70*T1^8*T2^3 - 42*T1^9*T2^3 + 5*T1^10*T2^3 - 9*T1^11*T2^3 + 9*T2^4 + 
      2*T1*T2^4 + 55*T1^2*T2^4 - 58*T1^3*T2^4 + 22*T1^4*T2^4 - 11*T1^5*T2^4 - 
      72*T1^6*T2^4 - 11*T1^7*T2^4 + 22*T1^8*T2^4 - 58*T1^9*T2^4 + 
      55*T1^10*T2^4 + 2*T1^11*T2^4 + 9*T1^12*T2^4 - 9*T2^5 + 2*T1*T2^5 - 
      83*T1^2*T2^5 + 49*T1^3*T2^5 - 11*T1^4*T2^5 + 8*T1^5*T2^5 + 
      53*T1^6*T2^5 + 53*T1^7*T2^5 + 8*T1^8*T2^5 - 11*T1^9*T2^5 + 
      49*T1^10*T2^5 - 83*T1^11*T2^5 + 2*T1^12*T2^5 - 9*T1^13*T2^5 + 6*T2^6 + 
      5*T1*T2^6 + 55*T1^2*T2^6 + 49*T1^3*T2^6 - 72*T1^4*T2^6 + 53*T1^5*T2^6 - 
      73*T1^6*T2^6 - 29*T1^7*T2^6 - 73*T1^8*T2^6 + 53*T1^9*T2^6 - 
      72*T1^10*T2^6 + 49*T1^11*T2^6 + 55*T1^12*T2^6 + 5*T1^13*T2^6 + 
      6*T1^14*T2^6 - 3*T2^7 - 5*T1*T2^7 - 42*T1^2*T2^7 - 58*T1^3*T2^7 - 
      11*T1^4*T2^7 + 53*T1^5*T2^7 - 29*T1^6*T2^7 + 68*T1^7*T2^7 + 
      68*T1^8*T2^7 - 29*T1^9*T2^7 + 53*T1^10*T2^7 - 11*T1^11*T2^7 - 
      58*T1^12*T2^7 - 42*T1^13*T2^7 - 5*T1^14*T2^7 - 3*T1^15*T2^7 + T2^8 + 
      4*T1*T2^8 + 19*T1^2*T2^8 + 70*T1^3*T2^8 + 22*T1^4*T2^8 + 8*T1^5*T2^8 - 
      73*T1^6*T2^8 + 68*T1^7*T2^8 - 168*T1^8*T2^8 + 68*T1^9*T2^8 - 
      73*T1^10*T2^8 + 8*T1^11*T2^8 + 22*T1^12*T2^8 + 70*T1^13*T2^8 + 
      19*T1^14*T2^8 + 4*T1^15*T2^8 + T1^16*T2^8 - 3*T1*T2^9 - 5*T1^2*T2^9 - 
      42*T1^3*T2^9 - 58*T1^4*T2^9 - 11*T1^5*T2^9 + 53*T1^6*T2^9 - 
      29*T1^7*T2^9 + 68*T1^8*T2^9 + 68*T1^9*T2^9 - 29*T1^10*T2^9 + 
      53*T1^11*T2^9 - 11*T1^12*T2^9 - 58*T1^13*T2^9 - 42*T1^14*T2^9 - 
      5*T1^15*T2^9 - 3*T1^16*T2^9 + 6*T1^2*T2^10 + 5*T1^3*T2^10 + 
      55*T1^4*T2^10 + 49*T1^5*T2^10 - 72*T1^6*T2^10 + 53*T1^7*T2^10 - 
      73*T1^8*T2^10 - 29*T1^9*T2^10 - 73*T1^10*T2^10 + 53*T1^11*T2^10 - 
      72*T1^12*T2^10 + 49*T1^13*T2^10 + 55*T1^14*T2^10 + 5*T1^15*T2^10 + 
      6*T1^16*T2^10 - 9*T1^3*T2^11 + 2*T1^4*T2^11 - 83*T1^5*T2^11 + 
      49*T1^6*T2^11 - 11*T1^7*T2^11 + 8*T1^8*T2^11 + 53*T1^9*T2^11 + 
      53*T1^10*T2^11 + 8*T1^11*T2^11 - 11*T1^12*T2^11 + 49*T1^13*T2^11 - 
      83*T1^14*T2^11 + 2*T1^15*T2^11 - 9*T1^16*T2^11 + 9*T1^4*T2^12 + 
      2*T1^5*T2^12 + 55*T1^6*T2^12 - 58*T1^7*T2^12 + 22*T1^8*T2^12 - 
      11*T1^9*T2^12 - 72*T1^10*T2^12 - 11*T1^11*T2^12 + 22*T1^12*T2^12 - 
      58*T1^13*T2^12 + 55*T1^14*T2^12 + 2*T1^15*T2^12 + 9*T1^16*T2^12 - 
      9*T1^5*T2^13 + 5*T1^6*T2^13 - 42*T1^7*T2^13 + 70*T1^8*T2^13 - 
      58*T1^9*T2^13 + 49*T1^10*T2^13 + 49*T1^11*T2^13 - 58*T1^12*T2^13 + 
      70*T1^13*T2^13 - 42*T1^14*T2^13 + 5*T1^15*T2^13 - 9*T1^16*T2^13 + 
      6*T1^6*T2^14 - 5*T1^7*T2^14 + 19*T1^8*T2^14 - 42*T1^9*T2^14 + 
      55*T1^10*T2^14 - 83*T1^11*T2^14 + 55*T1^12*T2^14 - 42*T1^13*T2^14 + 
      19*T1^14*T2^14 - 5*T1^15*T2^14 + 6*T1^16*T2^14 - 3*T1^7*T2^15 + 
      4*T1^8*T2^15 - 5*T1^9*T2^15 + 5*T1^10*T2^15 + 2*T1^11*T2^15 + 
      2*T1^12*T2^15 + 5*T1^13*T2^15 - 5*T1^14*T2^15 + 4*T1^15*T2^15 - 
      3*T1^16*T2^15 + T1^8*T2^16 - 3*T1^9*T2^16 + 6*T1^10*T2^16 - 
      9*T1^11*T2^16 + 9*T1^12*T2^16 - 9*T1^13*T2^16 + 6*T1^14*T2^16 - 
      3*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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), (7 - 35*T1 + 88*T1^2 - 137*T1^3 + 151*T1^4 - 137*T1^5 + 88*T1^6 - 
     35*T1^7 + 7*T1^8 - 35*T2 + 140*T1*T2 - 265*T1^2*T2 + 245*T1^3*T2 - 
     70*T1^4*T2 - 70*T1^5*T2 + 245*T1^6*T2 - 265*T1^7*T2 + 140*T1^8*T2 - 
     35*T1^9*T2 + 88*T2^2 - 265*T1*T2^2 + 301*T1^2*T2^2 + 112*T1^3*T2^2 - 
     581*T1^4*T2^2 + 549*T1^5*T2^2 - 581*T1^6*T2^2 + 112*T1^7*T2^2 + 
     301*T1^8*T2^2 - 265*T1^9*T2^2 + 88*T1^10*T2^2 - 137*T2^3 + 245*T1*T2^3 + 
     112*T1^2*T2^3 - 1006*T1^3*T2^3 + 1138*T1^4*T2^3 - 145*T1^5*T2^3 - 
     145*T1^6*T2^3 + 1138*T1^7*T2^3 - 1006*T1^8*T2^3 + 112*T1^9*T2^3 + 
     245*T1^10*T2^3 - 137*T1^11*T2^3 + 151*T2^4 - 70*T1*T2^4 - 
     581*T1^2*T2^4 + 1138*T1^3*T2^4 + 179*T1^4*T2^4 - 2034*T1^5*T2^4 + 
     1585*T1^6*T2^4 - 2034*T1^7*T2^4 + 179*T1^8*T2^4 + 1138*T1^9*T2^4 - 
     581*T1^10*T2^4 - 70*T1^11*T2^4 + 151*T1^12*T2^4 - 137*T2^5 - 
     70*T1*T2^5 + 549*T1^2*T2^5 - 145*T1^3*T2^5 - 2034*T1^4*T2^5 + 
     2662*T1^5*T2^5 - 176*T1^6*T2^5 - 176*T1^7*T2^5 + 2662*T1^8*T2^5 - 
     2034*T1^9*T2^5 - 145*T1^10*T2^5 + 549*T1^11*T2^5 - 70*T1^12*T2^5 - 
     137*T1^13*T2^5 + 88*T2^6 + 245*T1*T2^6 - 581*T1^2*T2^6 - 145*T1^3*T2^6 + 
     1585*T1^4*T2^6 - 176*T1^5*T2^6 - 2947*T1^6*T2^6 + 2291*T1^7*T2^6 - 
     2947*T1^8*T2^6 - 176*T1^9*T2^6 + 1585*T1^10*T2^6 - 145*T1^11*T2^6 - 
     581*T1^12*T2^6 + 245*T1^13*T2^6 + 88*T1^14*T2^6 - 35*T2^7 - 
     265*T1*T2^7 + 112*T1^2*T2^7 + 1138*T1^3*T2^7 - 2034*T1^4*T2^7 - 
     176*T1^5*T2^7 + 2291*T1^6*T2^7 - 212*T1^7*T2^7 - 212*T1^8*T2^7 + 
     2291*T1^9*T2^7 - 176*T1^10*T2^7 - 2034*T1^11*T2^7 + 1138*T1^12*T2^7 + 
     112*T1^13*T2^7 - 265*T1^14*T2^7 - 35*T1^15*T2^7 + 7*T2^8 + 140*T1*T2^8 + 
     301*T1^2*T2^8 - 1006*T1^3*T2^8 + 179*T1^4*T2^8 + 2662*T1^5*T2^8 - 
     2947*T1^6*T2^8 - 212*T1^7*T2^8 + 120*T1^8*T2^8 - 212*T1^9*T2^8 - 
     2947*T1^10*T2^8 + 2662*T1^11*T2^8 + 179*T1^12*T2^8 - 1006*T1^13*T2^8 + 
     301*T1^14*T2^8 + 140*T1^15*T2^8 + 7*T1^16*T2^8 - 35*T1*T2^9 - 
     265*T1^2*T2^9 + 112*T1^3*T2^9 + 1138*T1^4*T2^9 - 2034*T1^5*T2^9 - 
     176*T1^6*T2^9 + 2291*T1^7*T2^9 - 212*T1^8*T2^9 - 212*T1^9*T2^9 + 
     2291*T1^10*T2^9 - 176*T1^11*T2^9 - 2034*T1^12*T2^9 + 1138*T1^13*T2^9 + 
     112*T1^14*T2^9 - 265*T1^15*T2^9 - 35*T1^16*T2^9 + 88*T1^2*T2^10 + 
     245*T1^3*T2^10 - 581*T1^4*T2^10 - 145*T1^5*T2^10 + 1585*T1^6*T2^10 - 
     176*T1^7*T2^10 - 2947*T1^8*T2^10 + 2291*T1^9*T2^10 - 2947*T1^10*T2^10 - 
     176*T1^11*T2^10 + 1585*T1^12*T2^10 - 145*T1^13*T2^10 - 581*T1^14*T2^10 + 
     245*T1^15*T2^10 + 88*T1^16*T2^10 - 137*T1^3*T2^11 - 70*T1^4*T2^11 + 
     549*T1^5*T2^11 - 145*T1^6*T2^11 - 2034*T1^7*T2^11 + 2662*T1^8*T2^11 - 
     176*T1^9*T2^11 - 176*T1^10*T2^11 + 2662*T1^11*T2^11 - 2034*T1^12*T2^11 - 
     145*T1^13*T2^11 + 549*T1^14*T2^11 - 70*T1^15*T2^11 - 137*T1^16*T2^11 + 
     151*T1^4*T2^12 - 70*T1^5*T2^12 - 581*T1^6*T2^12 + 1138*T1^7*T2^12 + 
     179*T1^8*T2^12 - 2034*T1^9*T2^12 + 1585*T1^10*T2^12 - 2034*T1^11*T2^12 + 
     179*T1^12*T2^12 + 1138*T1^13*T2^12 - 581*T1^14*T2^12 - 70*T1^15*T2^12 + 
     151*T1^16*T2^12 - 137*T1^5*T2^13 + 245*T1^6*T2^13 + 112*T1^7*T2^13 - 
     1006*T1^8*T2^13 + 1138*T1^9*T2^13 - 145*T1^10*T2^13 - 145*T1^11*T2^13 + 
     1138*T1^12*T2^13 - 1006*T1^13*T2^13 + 112*T1^14*T2^13 + 
     245*T1^15*T2^13 - 137*T1^16*T2^13 + 88*T1^6*T2^14 - 265*T1^7*T2^14 + 
     301*T1^8*T2^14 + 112*T1^9*T2^14 - 581*T1^10*T2^14 + 549*T1^11*T2^14 - 
     581*T1^12*T2^14 + 112*T1^13*T2^14 + 301*T1^14*T2^14 - 265*T1^15*T2^14 + 
     88*T1^16*T2^14 - 35*T1^7*T2^15 + 140*T1^8*T2^15 - 265*T1^9*T2^15 + 
     245*T1^10*T2^15 - 70*T1^11*T2^15 - 70*T1^12*T2^15 + 245*T1^13*T2^15 - 
     265*T1^14*T2^15 + 140*T1^15*T2^15 - 35*T1^16*T2^15 + 7*T1^8*T2^16 - 
     35*T1^9*T2^16 + 88*T1^10*T2^16 - 137*T1^11*T2^16 + 151*T1^12*T2^16 - 
     137*T1^13*T2^16 + 88*T1^14*T2^16 - 35*T1^15*T2^16 + 7*T1^16*T2^16)/
    (T1^8*T2^8)}, 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, 
   (1 - 4*T1 + 9*T1^2 - 14*T1^3 + 17*T1^4 - 14*T1^5 + 9*T1^6 - 4*T1^7 + 
     T1^8 - 4*T2 + 12*T1*T2 - 19*T1^2*T2 + 18*T1^3*T2 - 11*T1^4*T2 - 
     11*T1^5*T2 + 18*T1^6*T2 - 19*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 9*T2^2 - 
     19*T1*T2^2 + 19*T1^2*T2^2 - 22*T1^3*T2^2 + 58*T1^4*T2^2 - 55*T1^5*T2^2 + 
     58*T1^6*T2^2 - 22*T1^7*T2^2 + 19*T1^8*T2^2 - 19*T1^9*T2^2 + 
     9*T1^10*T2^2 - 14*T2^3 + 18*T1*T2^3 - 22*T1^2*T2^3 + 98*T1^3*T2^3 - 
     230*T1^4*T2^3 + 89*T1^5*T2^3 + 89*T1^6*T2^3 - 230*T1^7*T2^3 + 
     98*T1^8*T2^3 - 22*T1^9*T2^3 + 18*T1^10*T2^3 - 14*T1^11*T2^3 + 17*T2^4 - 
     11*T1*T2^4 + 58*T1^2*T2^4 - 230*T1^3*T2^4 + 273*T1^4*T2^4 + 
     392*T1^5*T2^4 - 627*T1^6*T2^4 + 392*T1^7*T2^4 + 273*T1^8*T2^4 - 
     230*T1^9*T2^4 + 58*T1^10*T2^4 - 11*T1^11*T2^4 + 17*T1^12*T2^4 - 
     14*T2^5 - 11*T1*T2^5 - 55*T1^2*T2^5 + 89*T1^3*T2^5 + 392*T1^4*T2^5 - 
     1532*T1^5*T2^5 + 670*T1^6*T2^5 + 670*T1^7*T2^5 - 1532*T1^8*T2^5 + 
     392*T1^9*T2^5 + 89*T1^10*T2^5 - 55*T1^11*T2^5 - 11*T1^12*T2^5 - 
     14*T1^13*T2^5 + 9*T2^6 + 18*T1*T2^6 + 58*T1^2*T2^6 + 89*T1^3*T2^6 - 
     627*T1^4*T2^6 + 670*T1^5*T2^6 + 2517*T1^6*T2^6 - 3687*T1^7*T2^6 + 
     2517*T1^8*T2^6 + 670*T1^9*T2^6 - 627*T1^10*T2^6 + 89*T1^11*T2^6 + 
     58*T1^12*T2^6 + 18*T1^13*T2^6 + 9*T1^14*T2^6 - 4*T2^7 - 19*T1*T2^7 - 
     22*T1^2*T2^7 - 230*T1^3*T2^7 + 392*T1^4*T2^7 + 670*T1^5*T2^7 - 
     3687*T1^6*T2^7 + 1580*T1^7*T2^7 + 1580*T1^8*T2^7 - 3687*T1^9*T2^7 + 
     670*T1^10*T2^7 + 392*T1^11*T2^7 - 230*T1^12*T2^7 - 22*T1^13*T2^7 - 
     19*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 19*T1^2*T2^8 + 
     98*T1^3*T2^8 + 273*T1^4*T2^8 - 1532*T1^5*T2^8 + 2517*T1^6*T2^8 + 
     1580*T1^7*T2^8 - 2928*T1^8*T2^8 + 1580*T1^9*T2^8 + 2517*T1^10*T2^8 - 
     1532*T1^11*T2^8 + 273*T1^12*T2^8 + 98*T1^13*T2^8 + 19*T1^14*T2^8 + 
     12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 19*T1^2*T2^9 - 22*T1^3*T2^9 - 
     230*T1^4*T2^9 + 392*T1^5*T2^9 + 670*T1^6*T2^9 - 3687*T1^7*T2^9 + 
     1580*T1^8*T2^9 + 1580*T1^9*T2^9 - 3687*T1^10*T2^9 + 670*T1^11*T2^9 + 
     392*T1^12*T2^9 - 230*T1^13*T2^9 - 22*T1^14*T2^9 - 19*T1^15*T2^9 - 
     4*T1^16*T2^9 + 9*T1^2*T2^10 + 18*T1^3*T2^10 + 58*T1^4*T2^10 + 
     89*T1^5*T2^10 - 627*T1^6*T2^10 + 670*T1^7*T2^10 + 2517*T1^8*T2^10 - 
     3687*T1^9*T2^10 + 2517*T1^10*T2^10 + 670*T1^11*T2^10 - 627*T1^12*T2^10 + 
     89*T1^13*T2^10 + 58*T1^14*T2^10 + 18*T1^15*T2^10 + 9*T1^16*T2^10 - 
     14*T1^3*T2^11 - 11*T1^4*T2^11 - 55*T1^5*T2^11 + 89*T1^6*T2^11 + 
     392*T1^7*T2^11 - 1532*T1^8*T2^11 + 670*T1^9*T2^11 + 670*T1^10*T2^11 - 
     1532*T1^11*T2^11 + 392*T1^12*T2^11 + 89*T1^13*T2^11 - 55*T1^14*T2^11 - 
     11*T1^15*T2^11 - 14*T1^16*T2^11 + 17*T1^4*T2^12 - 11*T1^5*T2^12 + 
     58*T1^6*T2^12 - 230*T1^7*T2^12 + 273*T1^8*T2^12 + 392*T1^9*T2^12 - 
     627*T1^10*T2^12 + 392*T1^11*T2^12 + 273*T1^12*T2^12 - 230*T1^13*T2^12 + 
     58*T1^14*T2^12 - 11*T1^15*T2^12 + 17*T1^16*T2^12 - 14*T1^5*T2^13 + 
     18*T1^6*T2^13 - 22*T1^7*T2^13 + 98*T1^8*T2^13 - 230*T1^9*T2^13 + 
     89*T1^10*T2^13 + 89*T1^11*T2^13 - 230*T1^12*T2^13 + 98*T1^13*T2^13 - 
     22*T1^14*T2^13 + 18*T1^15*T2^13 - 14*T1^16*T2^13 + 9*T1^6*T2^14 - 
     19*T1^7*T2^14 + 19*T1^8*T2^14 - 22*T1^9*T2^14 + 58*T1^10*T2^14 - 
     55*T1^11*T2^14 + 58*T1^12*T2^14 - 22*T1^13*T2^14 + 19*T1^14*T2^14 - 
     19*T1^15*T2^14 + 9*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 
     19*T1^9*T2^15 + 18*T1^10*T2^15 - 11*T1^11*T2^15 - 11*T1^12*T2^15 + 
     18*T1^13*T2^15 - 19*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + 
     T1^8*T2^16 - 4*T1^9*T2^16 + 9*T1^10*T2^16 - 14*T1^11*T2^16 + 
     17*T1^12*T2^16 - 14*T1^13*T2^16 + 9*T1^14*T2^16 - 4*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, Knot[12, Alternating, 1202] -> 
  {(3 - 7*T + 3*T^2)^2/T^2, 0}, 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, -((1 - 4*T1 + 10*T1^2 - 18*T1^3 + 25*T1^4 - 27*T1^5 + 
      25*T1^6 - 18*T1^7 + 10*T1^8 - 4*T1^9 + T1^10 - 4*T2 + 12*T1*T2 - 
      24*T1^2*T2 + 32*T1^3*T2 - 28*T1^4*T2 + 8*T1^5*T2 + 8*T1^6*T2 - 
      28*T1^7*T2 + 32*T1^8*T2 - 24*T1^9*T2 + 12*T1^10*T2 - 4*T1^11*T2 + 
      10*T2^2 - 24*T1*T2^2 + 46*T1^2*T2^2 - 58*T1^3*T2^2 + 56*T1^4*T2^2 - 
      38*T1^5*T2^2 + 52*T1^6*T2^2 - 38*T1^7*T2^2 + 56*T1^8*T2^2 - 
      58*T1^9*T2^2 + 46*T1^10*T2^2 - 24*T1^11*T2^2 + 10*T1^12*T2^2 - 
      18*T2^3 + 32*T1*T2^3 - 58*T1^2*T2^3 + 54*T1^3*T2^3 - 36*T1^4*T2^3 - 
      2*T1^5*T2^3 - 28*T1^6*T2^3 - 28*T1^7*T2^3 - 2*T1^8*T2^3 - 
      36*T1^9*T2^3 + 54*T1^10*T2^3 - 58*T1^11*T2^3 + 32*T1^12*T2^3 - 
      18*T1^13*T2^3 + 25*T2^4 - 28*T1*T2^4 + 56*T1^2*T2^4 - 36*T1^3*T2^4 + 
      44*T1^4*T2^4 - 43*T1^5*T2^4 + 151*T1^6*T2^4 - 70*T1^7*T2^4 + 
      151*T1^8*T2^4 - 43*T1^9*T2^4 + 44*T1^10*T2^4 - 36*T1^11*T2^4 + 
      56*T1^12*T2^4 - 28*T1^13*T2^4 + 25*T1^14*T2^4 - 27*T2^5 + 8*T1*T2^5 - 
      38*T1^2*T2^5 - 2*T1^3*T2^5 - 43*T1^4*T2^5 + 42*T1^5*T2^5 - 
      146*T1^6*T2^5 - 53*T1^7*T2^5 - 53*T1^8*T2^5 - 146*T1^9*T2^5 + 
      42*T1^10*T2^5 - 43*T1^11*T2^5 - 2*T1^12*T2^5 - 38*T1^13*T2^5 + 
      8*T1^14*T2^5 - 27*T1^15*T2^5 + 25*T2^6 + 8*T1*T2^6 + 52*T1^2*T2^6 - 
      28*T1^3*T2^6 + 151*T1^4*T2^6 - 146*T1^5*T2^6 + 246*T1^6*T2^6 - 
      6*T1^7*T2^6 + 234*T1^8*T2^6 - 6*T1^9*T2^6 + 246*T1^10*T2^6 - 
      146*T1^11*T2^6 + 151*T1^12*T2^6 - 28*T1^13*T2^6 + 52*T1^14*T2^6 + 
      8*T1^15*T2^6 + 25*T1^16*T2^6 - 18*T2^7 - 28*T1*T2^7 - 38*T1^2*T2^7 - 
      28*T1^3*T2^7 - 70*T1^4*T2^7 - 53*T1^5*T2^7 - 6*T1^6*T2^7 - 
      222*T1^7*T2^7 - 122*T1^8*T2^7 - 122*T1^9*T2^7 - 222*T1^10*T2^7 - 
      6*T1^11*T2^7 - 53*T1^12*T2^7 - 70*T1^13*T2^7 - 28*T1^14*T2^7 - 
      38*T1^15*T2^7 - 28*T1^16*T2^7 - 18*T1^17*T2^7 + 10*T2^8 + 32*T1*T2^8 + 
      56*T1^2*T2^8 - 2*T1^3*T2^8 + 151*T1^4*T2^8 - 53*T1^5*T2^8 + 
      234*T1^6*T2^8 - 122*T1^7*T2^8 + 545*T1^8*T2^8 - 255*T1^9*T2^8 + 
      545*T1^10*T2^8 - 122*T1^11*T2^8 + 234*T1^12*T2^8 - 53*T1^13*T2^8 + 
      151*T1^14*T2^8 - 2*T1^15*T2^8 + 56*T1^16*T2^8 + 32*T1^17*T2^8 + 
      10*T1^18*T2^8 - 4*T2^9 - 24*T1*T2^9 - 58*T1^2*T2^9 - 36*T1^3*T2^9 - 
      43*T1^4*T2^9 - 146*T1^5*T2^9 - 6*T1^6*T2^9 - 122*T1^7*T2^9 - 
      255*T1^8*T2^9 - 118*T1^9*T2^9 - 118*T1^10*T2^9 - 255*T1^11*T2^9 - 
      122*T1^12*T2^9 - 6*T1^13*T2^9 - 146*T1^14*T2^9 - 43*T1^15*T2^9 - 
      36*T1^16*T2^9 - 58*T1^17*T2^9 - 24*T1^18*T2^9 - 4*T1^19*T2^9 + T2^10 + 
      12*T1*T2^10 + 46*T1^2*T2^10 + 54*T1^3*T2^10 + 44*T1^4*T2^10 + 
      42*T1^5*T2^10 + 246*T1^6*T2^10 - 222*T1^7*T2^10 + 545*T1^8*T2^10 - 
      118*T1^9*T2^10 + 384*T1^10*T2^10 - 118*T1^11*T2^10 + 545*T1^12*T2^10 - 
      222*T1^13*T2^10 + 246*T1^14*T2^10 + 42*T1^15*T2^10 + 44*T1^16*T2^10 + 
      54*T1^17*T2^10 + 46*T1^18*T2^10 + 12*T1^19*T2^10 + T1^20*T2^10 - 
      4*T1*T2^11 - 24*T1^2*T2^11 - 58*T1^3*T2^11 - 36*T1^4*T2^11 - 
      43*T1^5*T2^11 - 146*T1^6*T2^11 - 6*T1^7*T2^11 - 122*T1^8*T2^11 - 
      255*T1^9*T2^11 - 118*T1^10*T2^11 - 118*T1^11*T2^11 - 255*T1^12*T2^11 - 
      122*T1^13*T2^11 - 6*T1^14*T2^11 - 146*T1^15*T2^11 - 43*T1^16*T2^11 - 
      36*T1^17*T2^11 - 58*T1^18*T2^11 - 24*T1^19*T2^11 - 4*T1^20*T2^11 + 
      10*T1^2*T2^12 + 32*T1^3*T2^12 + 56*T1^4*T2^12 - 2*T1^5*T2^12 + 
      151*T1^6*T2^12 - 53*T1^7*T2^12 + 234*T1^8*T2^12 - 122*T1^9*T2^12 + 
      545*T1^10*T2^12 - 255*T1^11*T2^12 + 545*T1^12*T2^12 - 122*T1^13*T2^12 + 
      234*T1^14*T2^12 - 53*T1^15*T2^12 + 151*T1^16*T2^12 - 2*T1^17*T2^12 + 
      56*T1^18*T2^12 + 32*T1^19*T2^12 + 10*T1^20*T2^12 - 18*T1^3*T2^13 - 
      28*T1^4*T2^13 - 38*T1^5*T2^13 - 28*T1^6*T2^13 - 70*T1^7*T2^13 - 
      53*T1^8*T2^13 - 6*T1^9*T2^13 - 222*T1^10*T2^13 - 122*T1^11*T2^13 - 
      122*T1^12*T2^13 - 222*T1^13*T2^13 - 6*T1^14*T2^13 - 53*T1^15*T2^13 - 
      70*T1^16*T2^13 - 28*T1^17*T2^13 - 38*T1^18*T2^13 - 28*T1^19*T2^13 - 
      18*T1^20*T2^13 + 25*T1^4*T2^14 + 8*T1^5*T2^14 + 52*T1^6*T2^14 - 
      28*T1^7*T2^14 + 151*T1^8*T2^14 - 146*T1^9*T2^14 + 246*T1^10*T2^14 - 
      6*T1^11*T2^14 + 234*T1^12*T2^14 - 6*T1^13*T2^14 + 246*T1^14*T2^14 - 
      146*T1^15*T2^14 + 151*T1^16*T2^14 - 28*T1^17*T2^14 + 52*T1^18*T2^14 + 
      8*T1^19*T2^14 + 25*T1^20*T2^14 - 27*T1^5*T2^15 + 8*T1^6*T2^15 - 
      38*T1^7*T2^15 - 2*T1^8*T2^15 - 43*T1^9*T2^15 + 42*T1^10*T2^15 - 
      146*T1^11*T2^15 - 53*T1^12*T2^15 - 53*T1^13*T2^15 - 146*T1^14*T2^15 + 
      42*T1^15*T2^15 - 43*T1^16*T2^15 - 2*T1^17*T2^15 - 38*T1^18*T2^15 + 
      8*T1^19*T2^15 - 27*T1^20*T2^15 + 25*T1^6*T2^16 - 28*T1^7*T2^16 + 
      56*T1^8*T2^16 - 36*T1^9*T2^16 + 44*T1^10*T2^16 - 43*T1^11*T2^16 + 
      151*T1^12*T2^16 - 70*T1^13*T2^16 + 151*T1^14*T2^16 - 43*T1^15*T2^16 + 
      44*T1^16*T2^16 - 36*T1^17*T2^16 + 56*T1^18*T2^16 - 28*T1^19*T2^16 + 
      25*T1^20*T2^16 - 18*T1^7*T2^17 + 32*T1^8*T2^17 - 58*T1^9*T2^17 + 
      54*T1^10*T2^17 - 36*T1^11*T2^17 - 2*T1^12*T2^17 - 28*T1^13*T2^17 - 
      28*T1^14*T2^17 - 2*T1^15*T2^17 - 36*T1^16*T2^17 + 54*T1^17*T2^17 - 
      58*T1^18*T2^17 + 32*T1^19*T2^17 - 18*T1^20*T2^17 + 10*T1^8*T2^18 - 
      24*T1^9*T2^18 + 46*T1^10*T2^18 - 58*T1^11*T2^18 + 56*T1^12*T2^18 - 
      38*T1^13*T2^18 + 52*T1^14*T2^18 - 38*T1^15*T2^18 + 56*T1^16*T2^18 - 
      58*T1^17*T2^18 + 46*T1^18*T2^18 - 24*T1^19*T2^18 + 10*T1^20*T2^18 - 
      4*T1^9*T2^19 + 12*T1^10*T2^19 - 24*T1^11*T2^19 + 32*T1^12*T2^19 - 
      28*T1^13*T2^19 + 8*T1^14*T2^19 + 8*T1^15*T2^19 - 28*T1^16*T2^19 + 
      32*T1^17*T2^19 - 24*T1^18*T2^19 + 12*T1^19*T2^19 - 4*T1^20*T2^19 + 
      T1^10*T2^20 - 4*T1^11*T2^20 + 10*T1^12*T2^20 - 18*T1^13*T2^20 + 
      25*T1^14*T2^20 - 27*T1^15*T2^20 + 25*T1^16*T2^20 - 18*T1^17*T2^20 + 
      10*T1^18*T2^20 - 4*T1^19*T2^20 + T1^20*T2^20)/(T1^10*T2^10))}, 
 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, -((1 - 4*T1 + 9*T1^2 - 14*T1^3 + 17*T1^4 - 14*T1^5 + 9*T1^6 - 
      4*T1^7 + T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 20*T1^3*T2 - 
      12*T1^4*T2 - 12*T1^5*T2 + 20*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 
      4*T1^9*T2 + 9*T2^2 - 20*T1*T2^2 + 34*T1^2*T2^2 - 38*T1^3*T2^2 + 
      46*T1^4*T2^2 - 24*T1^5*T2^2 + 46*T1^6*T2^2 - 38*T1^7*T2^2 + 
      34*T1^8*T2^2 - 20*T1^9*T2^2 + 9*T1^10*T2^2 - 14*T2^3 + 20*T1*T2^3 - 
      38*T1^2*T2^3 + 24*T1^3*T2^3 - 35*T1^4*T2^3 - 17*T1^5*T2^3 - 
      17*T1^6*T2^3 - 35*T1^7*T2^3 + 24*T1^8*T2^3 - 38*T1^9*T2^3 + 
      20*T1^10*T2^3 - 14*T1^11*T2^3 + 17*T2^4 - 12*T1*T2^4 + 46*T1^2*T2^4 - 
      35*T1^3*T2^4 + 149*T1^4*T2^4 - 143*T1^5*T2^4 + 241*T1^6*T2^4 - 
      143*T1^7*T2^4 + 149*T1^8*T2^4 - 35*T1^9*T2^4 + 46*T1^10*T2^4 - 
      12*T1^11*T2^4 + 17*T1^12*T2^4 - 14*T2^5 - 12*T1*T2^5 - 24*T1^2*T2^5 - 
      17*T1^3*T2^5 - 143*T1^4*T2^5 + 16*T1^5*T2^5 - 78*T1^6*T2^5 - 
      78*T1^7*T2^5 + 16*T1^8*T2^5 - 143*T1^9*T2^5 - 17*T1^10*T2^5 - 
      24*T1^11*T2^5 - 12*T1^12*T2^5 - 14*T1^13*T2^5 + 9*T2^6 + 20*T1*T2^6 + 
      46*T1^2*T2^6 - 17*T1^3*T2^6 + 241*T1^4*T2^6 - 78*T1^5*T2^6 + 
      296*T1^6*T2^6 - 180*T1^7*T2^6 + 296*T1^8*T2^6 - 78*T1^9*T2^6 + 
      241*T1^10*T2^6 - 17*T1^11*T2^6 + 46*T1^12*T2^6 + 20*T1^13*T2^6 + 
      9*T1^14*T2^6 - 4*T2^7 - 20*T1*T2^7 - 38*T1^2*T2^7 - 35*T1^3*T2^7 - 
      143*T1^4*T2^7 - 78*T1^5*T2^7 - 180*T1^6*T2^7 - 60*T1^7*T2^7 - 
      60*T1^8*T2^7 - 180*T1^9*T2^7 - 78*T1^10*T2^7 - 143*T1^11*T2^7 - 
      35*T1^12*T2^7 - 38*T1^13*T2^7 - 20*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 
      12*T1*T2^8 + 34*T1^2*T2^8 + 24*T1^3*T2^8 + 149*T1^4*T2^8 + 
      16*T1^5*T2^8 + 296*T1^6*T2^8 - 60*T1^7*T2^8 + 276*T1^8*T2^8 - 
      60*T1^9*T2^8 + 296*T1^10*T2^8 + 16*T1^11*T2^8 + 149*T1^12*T2^8 + 
      24*T1^13*T2^8 + 34*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 
      4*T1*T2^9 - 20*T1^2*T2^9 - 38*T1^3*T2^9 - 35*T1^4*T2^9 - 
      143*T1^5*T2^9 - 78*T1^6*T2^9 - 180*T1^7*T2^9 - 60*T1^8*T2^9 - 
      60*T1^9*T2^9 - 180*T1^10*T2^9 - 78*T1^11*T2^9 - 143*T1^12*T2^9 - 
      35*T1^13*T2^9 - 38*T1^14*T2^9 - 20*T1^15*T2^9 - 4*T1^16*T2^9 + 
      9*T1^2*T2^10 + 20*T1^3*T2^10 + 46*T1^4*T2^10 - 17*T1^5*T2^10 + 
      241*T1^6*T2^10 - 78*T1^7*T2^10 + 296*T1^8*T2^10 - 180*T1^9*T2^10 + 
      296*T1^10*T2^10 - 78*T1^11*T2^10 + 241*T1^12*T2^10 - 17*T1^13*T2^10 + 
      46*T1^14*T2^10 + 20*T1^15*T2^10 + 9*T1^16*T2^10 - 14*T1^3*T2^11 - 
      12*T1^4*T2^11 - 24*T1^5*T2^11 - 17*T1^6*T2^11 - 143*T1^7*T2^11 + 
      16*T1^8*T2^11 - 78*T1^9*T2^11 - 78*T1^10*T2^11 + 16*T1^11*T2^11 - 
      143*T1^12*T2^11 - 17*T1^13*T2^11 - 24*T1^14*T2^11 - 12*T1^15*T2^11 - 
      14*T1^16*T2^11 + 17*T1^4*T2^12 - 12*T1^5*T2^12 + 46*T1^6*T2^12 - 
      35*T1^7*T2^12 + 149*T1^8*T2^12 - 143*T1^9*T2^12 + 241*T1^10*T2^12 - 
      143*T1^11*T2^12 + 149*T1^12*T2^12 - 35*T1^13*T2^12 + 46*T1^14*T2^12 - 
      12*T1^15*T2^12 + 17*T1^16*T2^12 - 14*T1^5*T2^13 + 20*T1^6*T2^13 - 
      38*T1^7*T2^13 + 24*T1^8*T2^13 - 35*T1^9*T2^13 - 17*T1^10*T2^13 - 
      17*T1^11*T2^13 - 35*T1^12*T2^13 + 24*T1^13*T2^13 - 38*T1^14*T2^13 + 
      20*T1^15*T2^13 - 14*T1^16*T2^13 + 9*T1^6*T2^14 - 20*T1^7*T2^14 + 
      34*T1^8*T2^14 - 38*T1^9*T2^14 + 46*T1^10*T2^14 - 24*T1^11*T2^14 + 
      46*T1^12*T2^14 - 38*T1^13*T2^14 + 34*T1^14*T2^14 - 20*T1^15*T2^14 + 
      9*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 20*T1^9*T2^15 + 
      20*T1^10*T2^15 - 12*T1^11*T2^15 - 12*T1^12*T2^15 + 20*T1^13*T2^15 - 
      20*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 
      4*T1^9*T2^16 + 9*T1^10*T2^16 - 14*T1^11*T2^16 + 17*T1^12*T2^16 - 
      14*T1^13*T2^16 + 9*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 1205] -> 
  {(4 - 15*T + 26*T^2 - 29*T^3 + 26*T^4 - 15*T^5 + 4*T^6)/T^3, 
   (4*(12 - 44*T1 + 74*T1^2 - 82*T1^3 + 74*T1^4 - 44*T1^5 + 12*T1^6 - 44*T2 + 
      117*T1*T2 - 109*T1^2*T2 + 29*T1^3*T2 + 29*T1^4*T2 - 109*T1^5*T2 + 
      117*T1^6*T2 - 44*T1^7*T2 + 74*T2^2 - 109*T1*T2^2 - 89*T1^2*T2^2 + 
      297*T1^3*T2^2 - 308*T1^4*T2^2 + 297*T1^5*T2^2 - 89*T1^6*T2^2 - 
      109*T1^7*T2^2 + 74*T1^8*T2^2 - 82*T2^3 + 29*T1*T2^3 + 297*T1^2*T2^3 - 
      370*T1^3*T2^3 + 102*T1^4*T2^3 + 102*T1^5*T2^3 - 370*T1^6*T2^3 + 
      297*T1^7*T2^3 + 29*T1^8*T2^3 - 82*T1^9*T2^3 + 74*T2^4 + 29*T1*T2^4 - 
      308*T1^2*T2^4 + 102*T1^3*T2^4 + 341*T1^4*T2^4 - 466*T1^5*T2^4 + 
      341*T1^6*T2^4 + 102*T1^7*T2^4 - 308*T1^8*T2^4 + 29*T1^9*T2^4 + 
      74*T1^10*T2^4 - 44*T2^5 - 109*T1*T2^5 + 297*T1^2*T2^5 + 102*T1^3*T2^5 - 
      466*T1^4*T2^5 + 251*T1^5*T2^5 + 251*T1^6*T2^5 - 466*T1^7*T2^5 + 
      102*T1^8*T2^5 + 297*T1^9*T2^5 - 109*T1^10*T2^5 - 44*T1^11*T2^5 + 
      12*T2^6 + 117*T1*T2^6 - 89*T1^2*T2^6 - 370*T1^3*T2^6 + 341*T1^4*T2^6 + 
      251*T1^5*T2^6 - 624*T1^6*T2^6 + 251*T1^7*T2^6 + 341*T1^8*T2^6 - 
      370*T1^9*T2^6 - 89*T1^10*T2^6 + 117*T1^11*T2^6 + 12*T1^12*T2^6 - 
      44*T1*T2^7 - 109*T1^2*T2^7 + 297*T1^3*T2^7 + 102*T1^4*T2^7 - 
      466*T1^5*T2^7 + 251*T1^6*T2^7 + 251*T1^7*T2^7 - 466*T1^8*T2^7 + 
      102*T1^9*T2^7 + 297*T1^10*T2^7 - 109*T1^11*T2^7 - 44*T1^12*T2^7 + 
      74*T1^2*T2^8 + 29*T1^3*T2^8 - 308*T1^4*T2^8 + 102*T1^5*T2^8 + 
      341*T1^6*T2^8 - 466*T1^7*T2^8 + 341*T1^8*T2^8 + 102*T1^9*T2^8 - 
      308*T1^10*T2^8 + 29*T1^11*T2^8 + 74*T1^12*T2^8 - 82*T1^3*T2^9 + 
      29*T1^4*T2^9 + 297*T1^5*T2^9 - 370*T1^6*T2^9 + 102*T1^7*T2^9 + 
      102*T1^8*T2^9 - 370*T1^9*T2^9 + 297*T1^10*T2^9 + 29*T1^11*T2^9 - 
      82*T1^12*T2^9 + 74*T1^4*T2^10 - 109*T1^5*T2^10 - 89*T1^6*T2^10 + 
      297*T1^7*T2^10 - 308*T1^8*T2^10 + 297*T1^9*T2^10 - 89*T1^10*T2^10 - 
      109*T1^11*T2^10 + 74*T1^12*T2^10 - 44*T1^5*T2^11 + 117*T1^6*T2^11 - 
      109*T1^7*T2^11 + 29*T1^8*T2^11 + 29*T1^9*T2^11 - 109*T1^10*T2^11 + 
      117*T1^11*T2^11 - 44*T1^12*T2^11 + 12*T1^6*T2^12 - 44*T1^7*T2^12 + 
      74*T1^8*T2^12 - 82*T1^9*T2^12 + 74*T1^10*T2^12 - 44*T1^11*T2^12 + 
      12*T1^12*T2^12))/(T1^6*T2^6)}, Knot[12, Alternating, 1206] -> 
  {-(((1 - 3*T + T^2)*(2 - 3*T + 2*T^2)^2)/T^3), 
   (-2*(2 - 3*T1 + 2*T1^2)*(2 - 3*T2 + 2*T2^2)*(2 - 3*T1*T2 + 2*T1^2*T2^2)*
     (9 - 39*T1 + 55*T1^2 - 39*T1^3 + 9*T1^4 - 39*T2 + 130*T1*T2 - 
      70*T1^2*T2 - 70*T1^3*T2 + 130*T1^4*T2 - 39*T1^5*T2 + 55*T2^2 - 
      70*T1*T2^2 - 323*T1^2*T2^2 + 536*T1^3*T2^2 - 323*T1^4*T2^2 - 
      70*T1^5*T2^2 + 55*T1^6*T2^2 - 39*T2^3 - 70*T1*T2^3 + 536*T1^2*T2^3 - 
      298*T1^3*T2^3 - 298*T1^4*T2^3 + 536*T1^5*T2^3 - 70*T1^6*T2^3 - 
      39*T1^7*T2^3 + 9*T2^4 + 130*T1*T2^4 - 323*T1^2*T2^4 - 298*T1^3*T2^4 + 
      654*T1^4*T2^4 - 298*T1^5*T2^4 - 323*T1^6*T2^4 + 130*T1^7*T2^4 + 
      9*T1^8*T2^4 - 39*T1*T2^5 - 70*T1^2*T2^5 + 536*T1^3*T2^5 - 
      298*T1^4*T2^5 - 298*T1^5*T2^5 + 536*T1^6*T2^5 - 70*T1^7*T2^5 - 
      39*T1^8*T2^5 + 55*T1^2*T2^6 - 70*T1^3*T2^6 - 323*T1^4*T2^6 + 
      536*T1^5*T2^6 - 323*T1^6*T2^6 - 70*T1^7*T2^6 + 55*T1^8*T2^6 - 
      39*T1^3*T2^7 + 130*T1^4*T2^7 - 70*T1^5*T2^7 - 70*T1^6*T2^7 + 
      130*T1^7*T2^7 - 39*T1^8*T2^7 + 9*T1^4*T2^8 - 39*T1^5*T2^8 + 
      55*T1^6*T2^8 - 39*T1^7*T2^8 + 9*T1^8*T2^8))/(T1^6*T2^6)}, 
 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, (17 - 92*T1 + 232*T1^2 - 346*T1^3 + 387*T1^4 - 346*T1^5 + 232*T1^6 - 
     92*T1^7 + 17*T1^8 - 92*T2 + 406*T1*T2 - 757*T1^2*T2 + 616*T1^3*T2 - 
     221*T1^4*T2 - 221*T1^5*T2 + 616*T1^6*T2 - 757*T1^7*T2 + 406*T1^8*T2 - 
     92*T1^9*T2 + 232*T2^2 - 757*T1*T2^2 + 681*T1^2*T2^2 + 899*T1^3*T2^2 - 
     1858*T1^4*T2^2 + 2097*T1^5*T2^2 - 1858*T1^6*T2^2 + 899*T1^7*T2^2 + 
     681*T1^8*T2^2 - 757*T1^9*T2^2 + 232*T1^10*T2^2 - 346*T2^3 + 
     616*T1*T2^3 + 899*T1^2*T2^3 - 3900*T1^3*T2^3 + 2831*T1^4*T2^3 - 
     887*T1^5*T2^3 - 887*T1^6*T2^3 + 2831*T1^7*T2^3 - 3900*T1^8*T2^3 + 
     899*T1^9*T2^3 + 616*T1^10*T2^3 - 346*T1^11*T2^3 + 387*T2^4 - 
     221*T1*T2^4 - 1858*T1^2*T2^4 + 2831*T1^3*T2^4 + 3816*T1^4*T2^4 - 
     6951*T1^5*T2^4 + 7562*T1^6*T2^4 - 6951*T1^7*T2^4 + 3816*T1^8*T2^4 + 
     2831*T1^9*T2^4 - 1858*T1^10*T2^4 - 221*T1^11*T2^4 + 387*T1^12*T2^4 - 
     346*T2^5 - 221*T1*T2^5 + 2097*T1^2*T2^5 - 887*T1^3*T2^5 - 
     6951*T1^4*T2^5 + 4548*T1^5*T2^5 - 1340*T1^6*T2^5 - 1340*T1^7*T2^5 + 
     4548*T1^8*T2^5 - 6951*T1^9*T2^5 - 887*T1^10*T2^5 + 2097*T1^11*T2^5 - 
     221*T1^12*T2^5 - 346*T1^13*T2^5 + 232*T2^6 + 616*T1*T2^6 - 
     1858*T1^2*T2^6 - 887*T1^3*T2^6 + 7562*T1^4*T2^6 - 1340*T1^5*T2^6 - 
     25*T1^6*T2^6 + 171*T1^7*T2^6 - 25*T1^8*T2^6 - 1340*T1^9*T2^6 + 
     7562*T1^10*T2^6 - 887*T1^11*T2^6 - 1858*T1^12*T2^6 + 616*T1^13*T2^6 + 
     232*T1^14*T2^6 - 92*T2^7 - 757*T1*T2^7 + 899*T1^2*T2^7 + 
     2831*T1^3*T2^7 - 6951*T1^4*T2^7 - 1340*T1^5*T2^7 + 171*T1^6*T2^7 - 
     56*T1^7*T2^7 - 56*T1^8*T2^7 + 171*T1^9*T2^7 - 1340*T1^10*T2^7 - 
     6951*T1^11*T2^7 + 2831*T1^12*T2^7 + 899*T1^13*T2^7 - 757*T1^14*T2^7 - 
     92*T1^15*T2^7 + 17*T2^8 + 406*T1*T2^8 + 681*T1^2*T2^8 - 3900*T1^3*T2^8 + 
     3816*T1^4*T2^8 + 4548*T1^5*T2^8 - 25*T1^6*T2^8 - 56*T1^7*T2^8 + 
     264*T1^8*T2^8 - 56*T1^9*T2^8 - 25*T1^10*T2^8 + 4548*T1^11*T2^8 + 
     3816*T1^12*T2^8 - 3900*T1^13*T2^8 + 681*T1^14*T2^8 + 406*T1^15*T2^8 + 
     17*T1^16*T2^8 - 92*T1*T2^9 - 757*T1^2*T2^9 + 899*T1^3*T2^9 + 
     2831*T1^4*T2^9 - 6951*T1^5*T2^9 - 1340*T1^6*T2^9 + 171*T1^7*T2^9 - 
     56*T1^8*T2^9 - 56*T1^9*T2^9 + 171*T1^10*T2^9 - 1340*T1^11*T2^9 - 
     6951*T1^12*T2^9 + 2831*T1^13*T2^9 + 899*T1^14*T2^9 - 757*T1^15*T2^9 - 
     92*T1^16*T2^9 + 232*T1^2*T2^10 + 616*T1^3*T2^10 - 1858*T1^4*T2^10 - 
     887*T1^5*T2^10 + 7562*T1^6*T2^10 - 1340*T1^7*T2^10 - 25*T1^8*T2^10 + 
     171*T1^9*T2^10 - 25*T1^10*T2^10 - 1340*T1^11*T2^10 + 7562*T1^12*T2^10 - 
     887*T1^13*T2^10 - 1858*T1^14*T2^10 + 616*T1^15*T2^10 + 232*T1^16*T2^10 - 
     346*T1^3*T2^11 - 221*T1^4*T2^11 + 2097*T1^5*T2^11 - 887*T1^6*T2^11 - 
     6951*T1^7*T2^11 + 4548*T1^8*T2^11 - 1340*T1^9*T2^11 - 1340*T1^10*T2^11 + 
     4548*T1^11*T2^11 - 6951*T1^12*T2^11 - 887*T1^13*T2^11 + 
     2097*T1^14*T2^11 - 221*T1^15*T2^11 - 346*T1^16*T2^11 + 387*T1^4*T2^12 - 
     221*T1^5*T2^12 - 1858*T1^6*T2^12 + 2831*T1^7*T2^12 + 3816*T1^8*T2^12 - 
     6951*T1^9*T2^12 + 7562*T1^10*T2^12 - 6951*T1^11*T2^12 + 
     3816*T1^12*T2^12 + 2831*T1^13*T2^12 - 1858*T1^14*T2^12 - 
     221*T1^15*T2^12 + 387*T1^16*T2^12 - 346*T1^5*T2^13 + 616*T1^6*T2^13 + 
     899*T1^7*T2^13 - 3900*T1^8*T2^13 + 2831*T1^9*T2^13 - 887*T1^10*T2^13 - 
     887*T1^11*T2^13 + 2831*T1^12*T2^13 - 3900*T1^13*T2^13 + 
     899*T1^14*T2^13 + 616*T1^15*T2^13 - 346*T1^16*T2^13 + 232*T1^6*T2^14 - 
     757*T1^7*T2^14 + 681*T1^8*T2^14 + 899*T1^9*T2^14 - 1858*T1^10*T2^14 + 
     2097*T1^11*T2^14 - 1858*T1^12*T2^14 + 899*T1^13*T2^14 + 
     681*T1^14*T2^14 - 757*T1^15*T2^14 + 232*T1^16*T2^14 - 92*T1^7*T2^15 + 
     406*T1^8*T2^15 - 757*T1^9*T2^15 + 616*T1^10*T2^15 - 221*T1^11*T2^15 - 
     221*T1^12*T2^15 + 616*T1^13*T2^15 - 757*T1^14*T2^15 + 406*T1^15*T2^15 - 
     92*T1^16*T2^15 + 17*T1^8*T2^16 - 92*T1^9*T2^16 + 232*T1^10*T2^16 - 
     346*T1^11*T2^16 + 387*T1^12*T2^16 - 346*T1^13*T2^16 + 232*T1^14*T2^16 - 
     92*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 1208] -> 
  {(4 - 23*T + 58*T^2 - 77*T^3 + 58*T^4 - 23*T^5 + 4*T^6)/T^3, 
   (80 - 448*T1 + 1112*T1^2 - 1464*T1^3 + 1112*T1^4 - 448*T1^5 + 80*T1^6 - 
     448*T2 + 2064*T1*T2 - 3723*T1^2*T2 + 1975*T1^3*T2 + 1975*T1^4*T2 - 
     3723*T1^5*T2 + 2064*T1^6*T2 - 448*T1^7*T2 + 1112*T2^2 - 3723*T1*T2^2 + 
     2438*T1^2*T2^2 + 8577*T1^3*T2^2 - 15432*T1^4*T2^2 + 8577*T1^5*T2^2 + 
     2438*T1^6*T2^2 - 3723*T1^7*T2^2 + 1112*T1^8*T2^2 - 1464*T2^3 + 
     1975*T1*T2^3 + 8577*T1^2*T2^3 - 27012*T1^3*T2^3 + 15720*T1^4*T2^3 + 
     15720*T1^5*T2^3 - 27012*T1^6*T2^3 + 8577*T1^7*T2^3 + 1975*T1^8*T2^3 - 
     1464*T1^9*T2^3 + 1112*T2^4 + 1975*T1*T2^4 - 15432*T1^2*T2^4 + 
     15720*T1^3*T2^4 + 36032*T1^4*T2^4 - 69192*T1^5*T2^4 + 36032*T1^6*T2^4 + 
     15720*T1^7*T2^4 - 15432*T1^8*T2^4 + 1975*T1^9*T2^4 + 1112*T1^10*T2^4 - 
     448*T2^5 - 3723*T1*T2^5 + 8577*T1^2*T2^5 + 15720*T1^3*T2^5 - 
     69192*T1^4*T2^5 + 41522*T1^5*T2^5 + 41522*T1^6*T2^5 - 69192*T1^7*T2^5 + 
     15720*T1^8*T2^5 + 8577*T1^9*T2^5 - 3723*T1^10*T2^5 - 448*T1^11*T2^5 + 
     80*T2^6 + 2064*T1*T2^6 + 2438*T1^2*T2^6 - 27012*T1^3*T2^6 + 
     36032*T1^4*T2^6 + 41522*T1^5*T2^6 - 92772*T1^6*T2^6 + 41522*T1^7*T2^6 + 
     36032*T1^8*T2^6 - 27012*T1^9*T2^6 + 2438*T1^10*T2^6 + 2064*T1^11*T2^6 + 
     80*T1^12*T2^6 - 448*T1*T2^7 - 3723*T1^2*T2^7 + 8577*T1^3*T2^7 + 
     15720*T1^4*T2^7 - 69192*T1^5*T2^7 + 41522*T1^6*T2^7 + 41522*T1^7*T2^7 - 
     69192*T1^8*T2^7 + 15720*T1^9*T2^7 + 8577*T1^10*T2^7 - 3723*T1^11*T2^7 - 
     448*T1^12*T2^7 + 1112*T1^2*T2^8 + 1975*T1^3*T2^8 - 15432*T1^4*T2^8 + 
     15720*T1^5*T2^8 + 36032*T1^6*T2^8 - 69192*T1^7*T2^8 + 36032*T1^8*T2^8 + 
     15720*T1^9*T2^8 - 15432*T1^10*T2^8 + 1975*T1^11*T2^8 + 1112*T1^12*T2^8 - 
     1464*T1^3*T2^9 + 1975*T1^4*T2^9 + 8577*T1^5*T2^9 - 27012*T1^6*T2^9 + 
     15720*T1^7*T2^9 + 15720*T1^8*T2^9 - 27012*T1^9*T2^9 + 8577*T1^10*T2^9 + 
     1975*T1^11*T2^9 - 1464*T1^12*T2^9 + 1112*T1^4*T2^10 - 3723*T1^5*T2^10 + 
     2438*T1^6*T2^10 + 8577*T1^7*T2^10 - 15432*T1^8*T2^10 + 8577*T1^9*T2^10 + 
     2438*T1^10*T2^10 - 3723*T1^11*T2^10 + 1112*T1^12*T2^10 - 
     448*T1^5*T2^11 + 2064*T1^6*T2^11 - 3723*T1^7*T2^11 + 1975*T1^8*T2^11 + 
     1975*T1^9*T2^11 - 3723*T1^10*T2^11 + 2064*T1^11*T2^11 - 
     448*T1^12*T2^11 + 80*T1^6*T2^12 - 448*T1^7*T2^12 + 1112*T1^8*T2^12 - 
     1464*T1^9*T2^12 + 1112*T1^10*T2^12 - 448*T1^11*T2^12 + 80*T1^12*T2^12)/
    (T1^6*T2^6)}, 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), 0}, 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), (2 - 10*T1 + 24*T1^2 - 42*T1^3 + 56*T1^4 - 62*T1^5 + 
     56*T1^6 - 42*T1^7 + 24*T1^8 - 10*T1^9 + 2*T1^10 - 10*T2 + 40*T1*T2 - 
     70*T1^2*T2 + 90*T1^3*T2 - 70*T1^4*T2 + 30*T1^5*T2 + 30*T1^6*T2 - 
     70*T1^7*T2 + 90*T1^8*T2 - 70*T1^9*T2 + 40*T1^10*T2 - 10*T1^11*T2 + 
     24*T2^2 - 70*T1*T2^2 + 60*T1^2*T2^2 - 14*T1^3*T2^2 - 112*T1^4*T2^2 + 
     186*T1^5*T2^2 - 244*T1^6*T2^2 + 186*T1^7*T2^2 - 112*T1^8*T2^2 - 
     14*T1^9*T2^2 + 60*T1^10*T2^2 - 70*T1^11*T2^2 + 24*T1^12*T2^2 - 42*T2^3 + 
     90*T1*T2^3 - 14*T1^2*T2^3 - 40*T1^3*T2^3 + 175*T1^4*T2^3 - 
     103*T1^5*T2^3 + 86*T1^6*T2^3 + 86*T1^7*T2^3 - 103*T1^8*T2^3 + 
     175*T1^9*T2^3 - 40*T1^10*T2^3 - 14*T1^11*T2^3 + 90*T1^12*T2^3 - 
     42*T1^13*T2^3 + 56*T2^4 - 70*T1*T2^4 - 112*T1^2*T2^4 + 175*T1^3*T2^4 - 
     397*T1^4*T2^4 + 271*T1^5*T2^4 - 423*T1^6*T2^4 + 279*T1^7*T2^4 - 
     423*T1^8*T2^4 + 271*T1^9*T2^4 - 397*T1^10*T2^4 + 175*T1^11*T2^4 - 
     112*T1^12*T2^4 - 70*T1^13*T2^4 + 56*T1^14*T2^4 - 62*T2^5 + 30*T1*T2^5 + 
     186*T1^2*T2^5 - 103*T1^3*T2^5 + 271*T1^4*T2^5 + 74*T1^5*T2^5 + 
     174*T1^6*T2^5 + 117*T1^7*T2^5 + 117*T1^8*T2^5 + 174*T1^9*T2^5 + 
     74*T1^10*T2^5 + 271*T1^11*T2^5 - 103*T1^12*T2^5 + 186*T1^13*T2^5 + 
     30*T1^14*T2^5 - 62*T1^15*T2^5 + 56*T2^6 + 30*T1*T2^6 - 244*T1^2*T2^6 + 
     86*T1^3*T2^6 - 423*T1^4*T2^6 + 174*T1^5*T2^6 - 845*T1^6*T2^6 + 
     572*T1^7*T2^6 - 1019*T1^8*T2^6 + 572*T1^9*T2^6 - 845*T1^10*T2^6 + 
     174*T1^11*T2^6 - 423*T1^12*T2^6 + 86*T1^13*T2^6 - 244*T1^14*T2^6 + 
     30*T1^15*T2^6 + 56*T1^16*T2^6 - 42*T2^7 - 70*T1*T2^7 + 186*T1^2*T2^7 + 
     86*T1^3*T2^7 + 279*T1^4*T2^7 + 117*T1^5*T2^7 + 572*T1^6*T2^7 + 
     88*T1^7*T2^7 + 326*T1^8*T2^7 + 326*T1^9*T2^7 + 88*T1^10*T2^7 + 
     572*T1^11*T2^7 + 117*T1^12*T2^7 + 279*T1^13*T2^7 + 86*T1^14*T2^7 + 
     186*T1^15*T2^7 - 70*T1^16*T2^7 - 42*T1^17*T2^7 + 24*T2^8 + 90*T1*T2^8 - 
     112*T1^2*T2^8 - 103*T1^3*T2^8 - 423*T1^4*T2^8 + 117*T1^5*T2^8 - 
     1019*T1^6*T2^8 + 326*T1^7*T2^8 - 1064*T1^8*T2^8 + 486*T1^9*T2^8 - 
     1064*T1^10*T2^8 + 326*T1^11*T2^8 - 1019*T1^12*T2^8 + 117*T1^13*T2^8 - 
     423*T1^14*T2^8 - 103*T1^15*T2^8 - 112*T1^16*T2^8 + 90*T1^17*T2^8 + 
     24*T1^18*T2^8 - 10*T2^9 - 70*T1*T2^9 - 14*T1^2*T2^9 + 175*T1^3*T2^9 + 
     271*T1^4*T2^9 + 174*T1^5*T2^9 + 572*T1^6*T2^9 + 326*T1^7*T2^9 + 
     486*T1^8*T2^9 + 264*T1^9*T2^9 + 264*T1^10*T2^9 + 486*T1^11*T2^9 + 
     326*T1^12*T2^9 + 572*T1^13*T2^9 + 174*T1^14*T2^9 + 271*T1^15*T2^9 + 
     175*T1^16*T2^9 - 14*T1^17*T2^9 - 70*T1^18*T2^9 - 10*T1^19*T2^9 + 
     2*T2^10 + 40*T1*T2^10 + 60*T1^2*T2^10 - 40*T1^3*T2^10 - 397*T1^4*T2^10 + 
     74*T1^5*T2^10 - 845*T1^6*T2^10 + 88*T1^7*T2^10 - 1064*T1^8*T2^10 + 
     264*T1^9*T2^10 - 888*T1^10*T2^10 + 264*T1^11*T2^10 - 1064*T1^12*T2^10 + 
     88*T1^13*T2^10 - 845*T1^14*T2^10 + 74*T1^15*T2^10 - 397*T1^16*T2^10 - 
     40*T1^17*T2^10 + 60*T1^18*T2^10 + 40*T1^19*T2^10 + 2*T1^20*T2^10 - 
     10*T1*T2^11 - 70*T1^2*T2^11 - 14*T1^3*T2^11 + 175*T1^4*T2^11 + 
     271*T1^5*T2^11 + 174*T1^6*T2^11 + 572*T1^7*T2^11 + 326*T1^8*T2^11 + 
     486*T1^9*T2^11 + 264*T1^10*T2^11 + 264*T1^11*T2^11 + 486*T1^12*T2^11 + 
     326*T1^13*T2^11 + 572*T1^14*T2^11 + 174*T1^15*T2^11 + 271*T1^16*T2^11 + 
     175*T1^17*T2^11 - 14*T1^18*T2^11 - 70*T1^19*T2^11 - 10*T1^20*T2^11 + 
     24*T1^2*T2^12 + 90*T1^3*T2^12 - 112*T1^4*T2^12 - 103*T1^5*T2^12 - 
     423*T1^6*T2^12 + 117*T1^7*T2^12 - 1019*T1^8*T2^12 + 326*T1^9*T2^12 - 
     1064*T1^10*T2^12 + 486*T1^11*T2^12 - 1064*T1^12*T2^12 + 
     326*T1^13*T2^12 - 1019*T1^14*T2^12 + 117*T1^15*T2^12 - 423*T1^16*T2^12 - 
     103*T1^17*T2^12 - 112*T1^18*T2^12 + 90*T1^19*T2^12 + 24*T1^20*T2^12 - 
     42*T1^3*T2^13 - 70*T1^4*T2^13 + 186*T1^5*T2^13 + 86*T1^6*T2^13 + 
     279*T1^7*T2^13 + 117*T1^8*T2^13 + 572*T1^9*T2^13 + 88*T1^10*T2^13 + 
     326*T1^11*T2^13 + 326*T1^12*T2^13 + 88*T1^13*T2^13 + 572*T1^14*T2^13 + 
     117*T1^15*T2^13 + 279*T1^16*T2^13 + 86*T1^17*T2^13 + 186*T1^18*T2^13 - 
     70*T1^19*T2^13 - 42*T1^20*T2^13 + 56*T1^4*T2^14 + 30*T1^5*T2^14 - 
     244*T1^6*T2^14 + 86*T1^7*T2^14 - 423*T1^8*T2^14 + 174*T1^9*T2^14 - 
     845*T1^10*T2^14 + 572*T1^11*T2^14 - 1019*T1^12*T2^14 + 572*T1^13*T2^14 - 
     845*T1^14*T2^14 + 174*T1^15*T2^14 - 423*T1^16*T2^14 + 86*T1^17*T2^14 - 
     244*T1^18*T2^14 + 30*T1^19*T2^14 + 56*T1^20*T2^14 - 62*T1^5*T2^15 + 
     30*T1^6*T2^15 + 186*T1^7*T2^15 - 103*T1^8*T2^15 + 271*T1^9*T2^15 + 
     74*T1^10*T2^15 + 174*T1^11*T2^15 + 117*T1^12*T2^15 + 117*T1^13*T2^15 + 
     174*T1^14*T2^15 + 74*T1^15*T2^15 + 271*T1^16*T2^15 - 103*T1^17*T2^15 + 
     186*T1^18*T2^15 + 30*T1^19*T2^15 - 62*T1^20*T2^15 + 56*T1^6*T2^16 - 
     70*T1^7*T2^16 - 112*T1^8*T2^16 + 175*T1^9*T2^16 - 397*T1^10*T2^16 + 
     271*T1^11*T2^16 - 423*T1^12*T2^16 + 279*T1^13*T2^16 - 423*T1^14*T2^16 + 
     271*T1^15*T2^16 - 397*T1^16*T2^16 + 175*T1^17*T2^16 - 112*T1^18*T2^16 - 
     70*T1^19*T2^16 + 56*T1^20*T2^16 - 42*T1^7*T2^17 + 90*T1^8*T2^17 - 
     14*T1^9*T2^17 - 40*T1^10*T2^17 + 175*T1^11*T2^17 - 103*T1^12*T2^17 + 
     86*T1^13*T2^17 + 86*T1^14*T2^17 - 103*T1^15*T2^17 + 175*T1^16*T2^17 - 
     40*T1^17*T2^17 - 14*T1^18*T2^17 + 90*T1^19*T2^17 - 42*T1^20*T2^17 + 
     24*T1^8*T2^18 - 70*T1^9*T2^18 + 60*T1^10*T2^18 - 14*T1^11*T2^18 - 
     112*T1^12*T2^18 + 186*T1^13*T2^18 - 244*T1^14*T2^18 + 186*T1^15*T2^18 - 
     112*T1^16*T2^18 - 14*T1^17*T2^18 + 60*T1^18*T2^18 - 70*T1^19*T2^18 + 
     24*T1^20*T2^18 - 10*T1^9*T2^19 + 40*T1^10*T2^19 - 70*T1^11*T2^19 + 
     90*T1^12*T2^19 - 70*T1^13*T2^19 + 30*T1^14*T2^19 + 30*T1^15*T2^19 - 
     70*T1^16*T2^19 + 90*T1^17*T2^19 - 70*T1^18*T2^19 + 40*T1^19*T2^19 - 
     10*T1^20*T2^19 + 2*T1^10*T2^20 - 10*T1^11*T2^20 + 24*T1^12*T2^20 - 
     42*T1^13*T2^20 + 56*T1^14*T2^20 - 62*T1^15*T2^20 + 56*T1^16*T2^20 - 
     42*T1^17*T2^20 + 24*T1^18*T2^20 - 10*T1^19*T2^20 + 2*T1^20*T2^20)/
    (T1^10*T2^10)}, 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), 0}, 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, (1 - 6*T1 + 16*T1^2 - 29*T1^3 + 41*T1^4 - 45*T1^5 + 
     41*T1^6 - 29*T1^7 + 16*T1^8 - 6*T1^9 + T1^10 - 6*T2 + 30*T1*T2 - 
     60*T1^2*T2 + 78*T1^3*T2 - 72*T1^4*T2 + 24*T1^5*T2 + 24*T1^6*T2 - 
     72*T1^7*T2 + 78*T1^8*T2 - 60*T1^9*T2 + 30*T1^10*T2 - 6*T1^11*T2 + 
     16*T2^2 - 60*T1*T2^2 + 55*T1^2*T2^2 + 22*T1^3*T2^2 - 147*T1^4*T2^2 + 
     316*T1^5*T2^2 - 337*T1^6*T2^2 + 316*T1^7*T2^2 - 147*T1^8*T2^2 + 
     22*T1^9*T2^2 + 55*T1^10*T2^2 - 60*T1^11*T2^2 + 16*T1^12*T2^2 - 29*T2^3 + 
     78*T1*T2^3 + 22*T1^2*T2^3 - 178*T1^3*T2^3 + 287*T1^4*T2^3 - 
     368*T1^5*T2^3 + 69*T1^6*T2^3 + 69*T1^7*T2^3 - 368*T1^8*T2^3 + 
     287*T1^9*T2^3 - 178*T1^10*T2^3 + 22*T1^11*T2^3 + 78*T1^12*T2^3 - 
     29*T1^13*T2^3 + 41*T2^4 - 72*T1*T2^4 - 147*T1^2*T2^4 + 287*T1^3*T2^4 - 
     295*T1^4*T2^4 + 319*T1^5*T2^4 + 177*T1^6*T2^4 - T1^7*T2^4 + 
     177*T1^8*T2^4 + 319*T1^9*T2^4 - 295*T1^10*T2^4 + 287*T1^11*T2^4 - 
     147*T1^12*T2^4 - 72*T1^13*T2^4 + 41*T1^14*T2^4 - 45*T2^5 + 24*T1*T2^5 + 
     316*T1^2*T2^5 - 368*T1^3*T2^5 + 319*T1^4*T2^5 - 358*T1^5*T2^5 - 
     314*T1^6*T2^5 - 208*T1^7*T2^5 - 208*T1^8*T2^5 - 314*T1^9*T2^5 - 
     358*T1^10*T2^5 + 319*T1^11*T2^5 - 368*T1^12*T2^5 + 316*T1^13*T2^5 + 
     24*T1^14*T2^5 - 45*T1^15*T2^5 + 41*T2^6 + 24*T1*T2^6 - 337*T1^2*T2^6 + 
     69*T1^3*T2^6 + 177*T1^4*T2^6 - 314*T1^5*T2^6 + 1228*T1^6*T2^6 - 
     374*T1^7*T2^6 + 1106*T1^8*T2^6 - 374*T1^9*T2^6 + 1228*T1^10*T2^6 - 
     314*T1^11*T2^6 + 177*T1^12*T2^6 + 69*T1^13*T2^6 - 337*T1^14*T2^6 + 
     24*T1^15*T2^6 + 41*T1^16*T2^6 - 29*T2^7 - 72*T1*T2^7 + 316*T1^2*T2^7 + 
     69*T1^3*T2^7 - T1^4*T2^7 - 208*T1^5*T2^7 - 374*T1^6*T2^7 - 
     900*T1^7*T2^7 - 329*T1^8*T2^7 - 329*T1^9*T2^7 - 900*T1^10*T2^7 - 
     374*T1^11*T2^7 - 208*T1^12*T2^7 - T1^13*T2^7 + 69*T1^14*T2^7 + 
     316*T1^15*T2^7 - 72*T1^16*T2^7 - 29*T1^17*T2^7 + 16*T2^8 + 78*T1*T2^8 - 
     147*T1^2*T2^8 - 368*T1^3*T2^8 + 177*T1^4*T2^8 - 208*T1^5*T2^8 + 
     1106*T1^6*T2^8 - 329*T1^7*T2^8 + 2358*T1^8*T2^8 - 1522*T1^9*T2^8 + 
     2358*T1^10*T2^8 - 329*T1^11*T2^8 + 1106*T1^12*T2^8 - 208*T1^13*T2^8 + 
     177*T1^14*T2^8 - 368*T1^15*T2^8 - 147*T1^16*T2^8 + 78*T1^17*T2^8 + 
     16*T1^18*T2^8 - 6*T2^9 - 60*T1*T2^9 + 22*T1^2*T2^9 + 287*T1^3*T2^9 + 
     319*T1^4*T2^9 - 314*T1^5*T2^9 - 374*T1^6*T2^9 - 329*T1^7*T2^9 - 
     1522*T1^8*T2^9 - 202*T1^9*T2^9 - 202*T1^10*T2^9 - 1522*T1^11*T2^9 - 
     329*T1^12*T2^9 - 374*T1^13*T2^9 - 314*T1^14*T2^9 + 319*T1^15*T2^9 + 
     287*T1^16*T2^9 + 22*T1^17*T2^9 - 60*T1^18*T2^9 - 6*T1^19*T2^9 + T2^10 + 
     30*T1*T2^10 + 55*T1^2*T2^10 - 178*T1^3*T2^10 - 295*T1^4*T2^10 - 
     358*T1^5*T2^10 + 1228*T1^6*T2^10 - 900*T1^7*T2^10 + 2358*T1^8*T2^10 - 
     202*T1^9*T2^10 + 1056*T1^10*T2^10 - 202*T1^11*T2^10 + 2358*T1^12*T2^10 - 
     900*T1^13*T2^10 + 1228*T1^14*T2^10 - 358*T1^15*T2^10 - 295*T1^16*T2^10 - 
     178*T1^17*T2^10 + 55*T1^18*T2^10 + 30*T1^19*T2^10 + T1^20*T2^10 - 
     6*T1*T2^11 - 60*T1^2*T2^11 + 22*T1^3*T2^11 + 287*T1^4*T2^11 + 
     319*T1^5*T2^11 - 314*T1^6*T2^11 - 374*T1^7*T2^11 - 329*T1^8*T2^11 - 
     1522*T1^9*T2^11 - 202*T1^10*T2^11 - 202*T1^11*T2^11 - 1522*T1^12*T2^11 - 
     329*T1^13*T2^11 - 374*T1^14*T2^11 - 314*T1^15*T2^11 + 319*T1^16*T2^11 + 
     287*T1^17*T2^11 + 22*T1^18*T2^11 - 60*T1^19*T2^11 - 6*T1^20*T2^11 + 
     16*T1^2*T2^12 + 78*T1^3*T2^12 - 147*T1^4*T2^12 - 368*T1^5*T2^12 + 
     177*T1^6*T2^12 - 208*T1^7*T2^12 + 1106*T1^8*T2^12 - 329*T1^9*T2^12 + 
     2358*T1^10*T2^12 - 1522*T1^11*T2^12 + 2358*T1^12*T2^12 - 
     329*T1^13*T2^12 + 1106*T1^14*T2^12 - 208*T1^15*T2^12 + 177*T1^16*T2^12 - 
     368*T1^17*T2^12 - 147*T1^18*T2^12 + 78*T1^19*T2^12 + 16*T1^20*T2^12 - 
     29*T1^3*T2^13 - 72*T1^4*T2^13 + 316*T1^5*T2^13 + 69*T1^6*T2^13 - 
     T1^7*T2^13 - 208*T1^8*T2^13 - 374*T1^9*T2^13 - 900*T1^10*T2^13 - 
     329*T1^11*T2^13 - 329*T1^12*T2^13 - 900*T1^13*T2^13 - 374*T1^14*T2^13 - 
     208*T1^15*T2^13 - T1^16*T2^13 + 69*T1^17*T2^13 + 316*T1^18*T2^13 - 
     72*T1^19*T2^13 - 29*T1^20*T2^13 + 41*T1^4*T2^14 + 24*T1^5*T2^14 - 
     337*T1^6*T2^14 + 69*T1^7*T2^14 + 177*T1^8*T2^14 - 314*T1^9*T2^14 + 
     1228*T1^10*T2^14 - 374*T1^11*T2^14 + 1106*T1^12*T2^14 - 
     374*T1^13*T2^14 + 1228*T1^14*T2^14 - 314*T1^15*T2^14 + 177*T1^16*T2^14 + 
     69*T1^17*T2^14 - 337*T1^18*T2^14 + 24*T1^19*T2^14 + 41*T1^20*T2^14 - 
     45*T1^5*T2^15 + 24*T1^6*T2^15 + 316*T1^7*T2^15 - 368*T1^8*T2^15 + 
     319*T1^9*T2^15 - 358*T1^10*T2^15 - 314*T1^11*T2^15 - 208*T1^12*T2^15 - 
     208*T1^13*T2^15 - 314*T1^14*T2^15 - 358*T1^15*T2^15 + 319*T1^16*T2^15 - 
     368*T1^17*T2^15 + 316*T1^18*T2^15 + 24*T1^19*T2^15 - 45*T1^20*T2^15 + 
     41*T1^6*T2^16 - 72*T1^7*T2^16 - 147*T1^8*T2^16 + 287*T1^9*T2^16 - 
     295*T1^10*T2^16 + 319*T1^11*T2^16 + 177*T1^12*T2^16 - T1^13*T2^16 + 
     177*T1^14*T2^16 + 319*T1^15*T2^16 - 295*T1^16*T2^16 + 287*T1^17*T2^16 - 
     147*T1^18*T2^16 - 72*T1^19*T2^16 + 41*T1^20*T2^16 - 29*T1^7*T2^17 + 
     78*T1^8*T2^17 + 22*T1^9*T2^17 - 178*T1^10*T2^17 + 287*T1^11*T2^17 - 
     368*T1^12*T2^17 + 69*T1^13*T2^17 + 69*T1^14*T2^17 - 368*T1^15*T2^17 + 
     287*T1^16*T2^17 - 178*T1^17*T2^17 + 22*T1^18*T2^17 + 78*T1^19*T2^17 - 
     29*T1^20*T2^17 + 16*T1^8*T2^18 - 60*T1^9*T2^18 + 55*T1^10*T2^18 + 
     22*T1^11*T2^18 - 147*T1^12*T2^18 + 316*T1^13*T2^18 - 337*T1^14*T2^18 + 
     316*T1^15*T2^18 - 147*T1^16*T2^18 + 22*T1^17*T2^18 + 55*T1^18*T2^18 - 
     60*T1^19*T2^18 + 16*T1^20*T2^18 - 6*T1^9*T2^19 + 30*T1^10*T2^19 - 
     60*T1^11*T2^19 + 78*T1^12*T2^19 - 72*T1^13*T2^19 + 24*T1^14*T2^19 + 
     24*T1^15*T2^19 - 72*T1^16*T2^19 + 78*T1^17*T2^19 - 60*T1^18*T2^19 + 
     30*T1^19*T2^19 - 6*T1^20*T2^19 + T1^10*T2^20 - 6*T1^11*T2^20 + 
     16*T1^12*T2^20 - 29*T1^13*T2^20 + 41*T1^14*T2^20 - 45*T1^15*T2^20 + 
     41*T1^16*T2^20 - 29*T1^17*T2^20 + 16*T1^18*T2^20 - 6*T1^19*T2^20 + 
     T1^20*T2^20)/(T1^10*T2^10)}, 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, 
   (1 - 6*T1 + 15*T1^2 - 24*T1^3 + 29*T1^4 - 24*T1^5 + 15*T1^6 - 6*T1^7 + 
     T1^8 - 6*T2 + 30*T1*T2 - 54*T1^2*T2 + 54*T1^3*T2 - 30*T1^4*T2 - 
     30*T1^5*T2 + 54*T1^6*T2 - 54*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 
     15*T2^2 - 54*T1*T2^2 + 26*T1^2*T2^2 + 78*T1^3*T2^2 - 176*T1^4*T2^2 + 
     290*T1^5*T2^2 - 176*T1^6*T2^2 + 78*T1^7*T2^2 + 26*T1^8*T2^2 - 
     54*T1^9*T2^2 + 15*T1^10*T2^2 - 24*T2^3 + 54*T1*T2^3 + 78*T1^2*T2^3 - 
     200*T1^3*T2^3 + 156*T1^4*T2^3 - 188*T1^5*T2^3 - 188*T1^6*T2^3 + 
     156*T1^7*T2^3 - 200*T1^8*T2^3 + 78*T1^9*T2^3 + 54*T1^10*T2^3 - 
     24*T1^11*T2^3 + 29*T2^4 - 30*T1*T2^4 - 176*T1^2*T2^4 + 156*T1^3*T2^4 - 
     3*T1^4*T2^4 + 324*T1^5*T2^4 + 71*T1^6*T2^4 + 324*T1^7*T2^4 - 
     3*T1^8*T2^4 + 156*T1^9*T2^4 - 176*T1^10*T2^4 - 30*T1^11*T2^4 + 
     29*T1^12*T2^4 - 24*T2^5 - 30*T1*T2^5 + 290*T1^2*T2^5 - 188*T1^3*T2^5 + 
     324*T1^4*T2^5 - 1042*T1^5*T2^5 - 46*T1^6*T2^5 - 46*T1^7*T2^5 - 
     1042*T1^8*T2^5 + 324*T1^9*T2^5 - 188*T1^10*T2^5 + 290*T1^11*T2^5 - 
     30*T1^12*T2^5 - 24*T1^13*T2^5 + 15*T2^6 + 54*T1*T2^6 - 176*T1^2*T2^6 - 
     188*T1^3*T2^6 + 71*T1^4*T2^6 - 46*T1^5*T2^6 + 2456*T1^6*T2^6 - 
     1924*T1^7*T2^6 + 2456*T1^8*T2^6 - 46*T1^9*T2^6 + 71*T1^10*T2^6 - 
     188*T1^11*T2^6 - 176*T1^12*T2^6 + 54*T1^13*T2^6 + 15*T1^14*T2^6 - 
     6*T2^7 - 54*T1*T2^7 + 78*T1^2*T2^7 + 156*T1^3*T2^7 + 324*T1^4*T2^7 - 
     46*T1^5*T2^7 - 1924*T1^6*T2^7 - 212*T1^7*T2^7 - 212*T1^8*T2^7 - 
     1924*T1^9*T2^7 - 46*T1^10*T2^7 + 324*T1^11*T2^7 + 156*T1^12*T2^7 + 
     78*T1^13*T2^7 - 54*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 
     26*T1^2*T2^8 - 200*T1^3*T2^8 - 3*T1^4*T2^8 - 1042*T1^5*T2^8 + 
     2456*T1^6*T2^8 - 212*T1^7*T2^8 + 1632*T1^8*T2^8 - 212*T1^9*T2^8 + 
     2456*T1^10*T2^8 - 1042*T1^11*T2^8 - 3*T1^12*T2^8 - 200*T1^13*T2^8 + 
     26*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 54*T1^2*T2^9 + 
     78*T1^3*T2^9 + 156*T1^4*T2^9 + 324*T1^5*T2^9 - 46*T1^6*T2^9 - 
     1924*T1^7*T2^9 - 212*T1^8*T2^9 - 212*T1^9*T2^9 - 1924*T1^10*T2^9 - 
     46*T1^11*T2^9 + 324*T1^12*T2^9 + 156*T1^13*T2^9 + 78*T1^14*T2^9 - 
     54*T1^15*T2^9 - 6*T1^16*T2^9 + 15*T1^2*T2^10 + 54*T1^3*T2^10 - 
     176*T1^4*T2^10 - 188*T1^5*T2^10 + 71*T1^6*T2^10 - 46*T1^7*T2^10 + 
     2456*T1^8*T2^10 - 1924*T1^9*T2^10 + 2456*T1^10*T2^10 - 46*T1^11*T2^10 + 
     71*T1^12*T2^10 - 188*T1^13*T2^10 - 176*T1^14*T2^10 + 54*T1^15*T2^10 + 
     15*T1^16*T2^10 - 24*T1^3*T2^11 - 30*T1^4*T2^11 + 290*T1^5*T2^11 - 
     188*T1^6*T2^11 + 324*T1^7*T2^11 - 1042*T1^8*T2^11 - 46*T1^9*T2^11 - 
     46*T1^10*T2^11 - 1042*T1^11*T2^11 + 324*T1^12*T2^11 - 188*T1^13*T2^11 + 
     290*T1^14*T2^11 - 30*T1^15*T2^11 - 24*T1^16*T2^11 + 29*T1^4*T2^12 - 
     30*T1^5*T2^12 - 176*T1^6*T2^12 + 156*T1^7*T2^12 - 3*T1^8*T2^12 + 
     324*T1^9*T2^12 + 71*T1^10*T2^12 + 324*T1^11*T2^12 - 3*T1^12*T2^12 + 
     156*T1^13*T2^12 - 176*T1^14*T2^12 - 30*T1^15*T2^12 + 29*T1^16*T2^12 - 
     24*T1^5*T2^13 + 54*T1^6*T2^13 + 78*T1^7*T2^13 - 200*T1^8*T2^13 + 
     156*T1^9*T2^13 - 188*T1^10*T2^13 - 188*T1^11*T2^13 + 156*T1^12*T2^13 - 
     200*T1^13*T2^13 + 78*T1^14*T2^13 + 54*T1^15*T2^13 - 24*T1^16*T2^13 + 
     15*T1^6*T2^14 - 54*T1^7*T2^14 + 26*T1^8*T2^14 + 78*T1^9*T2^14 - 
     176*T1^10*T2^14 + 290*T1^11*T2^14 - 176*T1^12*T2^14 + 78*T1^13*T2^14 + 
     26*T1^14*T2^14 - 54*T1^15*T2^14 + 15*T1^16*T2^14 - 6*T1^7*T2^15 + 
     30*T1^8*T2^15 - 54*T1^9*T2^15 + 54*T1^10*T2^15 - 30*T1^11*T2^15 - 
     30*T1^12*T2^15 + 54*T1^13*T2^15 - 54*T1^14*T2^15 + 30*T1^15*T2^15 - 
     6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 15*T1^10*T2^16 - 
     24*T1^11*T2^16 + 29*T1^12*T2^16 - 24*T1^13*T2^16 + 15*T1^14*T2^16 - 
     6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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), -((4 - 12*T1 + 16*T1^2 - 20*T1^3 + 24*T1^4 - 28*T1^5 + 24*T1^6 - 
      20*T1^7 + 16*T1^8 - 12*T1^9 + 4*T1^10 - 12*T2 + 24*T1*T2 - 12*T1^2*T2 + 
      12*T1^3*T2 - 12*T1^4*T2 + 12*T1^5*T2 + 12*T1^6*T2 - 12*T1^7*T2 + 
      12*T1^8*T2 - 12*T1^9*T2 + 24*T1^10*T2 - 12*T1^11*T2 + 16*T2^2 - 
      12*T1*T2^2 - 29*T1^2*T2^2 + 20*T1^3*T2^2 - 25*T1^4*T2^2 + 
      30*T1^5*T2^2 - 65*T1^6*T2^2 + 30*T1^7*T2^2 - 25*T1^8*T2^2 + 
      20*T1^9*T2^2 - 29*T1^10*T2^2 - 12*T1^11*T2^2 + 16*T1^12*T2^2 - 
      20*T2^3 + 12*T1*T2^3 + 20*T1^2*T2^3 + 22*T1^3*T2^3 - 7*T1^4*T2^3 + 
      7*T1^5*T2^3 + 27*T1^6*T2^3 + 27*T1^7*T2^3 + 7*T1^8*T2^3 - 7*T1^9*T2^3 + 
      22*T1^10*T2^3 + 20*T1^11*T2^3 + 12*T1^12*T2^3 - 20*T1^13*T2^3 + 
      24*T2^4 - 12*T1*T2^4 - 25*T1^2*T2^4 - 7*T1^3*T2^4 - 45*T1^4*T2^4 + 
      37*T1^5*T2^4 - 82*T1^6*T2^4 + 27*T1^7*T2^4 - 82*T1^8*T2^4 + 
      37*T1^9*T2^4 - 45*T1^10*T2^4 - 7*T1^11*T2^4 - 25*T1^12*T2^4 - 
      12*T1^13*T2^4 + 24*T1^14*T2^4 - 28*T2^5 + 12*T1*T2^5 + 30*T1^2*T2^5 + 
      7*T1^3*T2^5 + 37*T1^4*T2^5 + 8*T1^5*T2^5 + 46*T1^6*T2^5 + 
      26*T1^7*T2^5 + 26*T1^8*T2^5 + 46*T1^9*T2^5 + 8*T1^10*T2^5 + 
      37*T1^11*T2^5 + 7*T1^12*T2^5 + 30*T1^13*T2^5 + 12*T1^14*T2^5 - 
      28*T1^15*T2^5 + 24*T2^6 + 12*T1*T2^6 - 65*T1^2*T2^6 + 27*T1^3*T2^6 - 
      82*T1^4*T2^6 + 46*T1^5*T2^6 - 133*T1^6*T2^6 + 50*T1^7*T2^6 - 
      119*T1^8*T2^6 + 50*T1^9*T2^6 - 133*T1^10*T2^6 + 46*T1^11*T2^6 - 
      82*T1^12*T2^6 + 27*T1^13*T2^6 - 65*T1^14*T2^6 + 12*T1^15*T2^6 + 
      24*T1^16*T2^6 - 20*T2^7 - 12*T1*T2^7 + 30*T1^2*T2^7 + 27*T1^3*T2^7 + 
      27*T1^4*T2^7 + 26*T1^5*T2^7 + 50*T1^6*T2^7 + 50*T1^7*T2^7 + 
      39*T1^8*T2^7 + 39*T1^9*T2^7 + 50*T1^10*T2^7 + 50*T1^11*T2^7 + 
      26*T1^12*T2^7 + 27*T1^13*T2^7 + 27*T1^14*T2^7 + 30*T1^15*T2^7 - 
      12*T1^16*T2^7 - 20*T1^17*T2^7 + 16*T2^8 + 12*T1*T2^8 - 25*T1^2*T2^8 + 
      7*T1^3*T2^8 - 82*T1^4*T2^8 + 26*T1^5*T2^8 - 119*T1^6*T2^8 + 
      39*T1^7*T2^8 - 137*T1^8*T2^8 + 37*T1^9*T2^8 - 137*T1^10*T2^8 + 
      39*T1^11*T2^8 - 119*T1^12*T2^8 + 26*T1^13*T2^8 - 82*T1^14*T2^8 + 
      7*T1^15*T2^8 - 25*T1^16*T2^8 + 12*T1^17*T2^8 + 16*T1^18*T2^8 - 
      12*T2^9 - 12*T1*T2^9 + 20*T1^2*T2^9 - 7*T1^3*T2^9 + 37*T1^4*T2^9 + 
      46*T1^5*T2^9 + 50*T1^6*T2^9 + 39*T1^7*T2^9 + 37*T1^8*T2^9 + 
      64*T1^9*T2^9 + 64*T1^10*T2^9 + 37*T1^11*T2^9 + 39*T1^12*T2^9 + 
      50*T1^13*T2^9 + 46*T1^14*T2^9 + 37*T1^15*T2^9 - 7*T1^16*T2^9 + 
      20*T1^17*T2^9 - 12*T1^18*T2^9 - 12*T1^19*T2^9 + 4*T2^10 + 24*T1*T2^10 - 
      29*T1^2*T2^10 + 22*T1^3*T2^10 - 45*T1^4*T2^10 + 8*T1^5*T2^10 - 
      133*T1^6*T2^10 + 50*T1^7*T2^10 - 137*T1^8*T2^10 + 64*T1^9*T2^10 - 
      192*T1^10*T2^10 + 64*T1^11*T2^10 - 137*T1^12*T2^10 + 50*T1^13*T2^10 - 
      133*T1^14*T2^10 + 8*T1^15*T2^10 - 45*T1^16*T2^10 + 22*T1^17*T2^10 - 
      29*T1^18*T2^10 + 24*T1^19*T2^10 + 4*T1^20*T2^10 - 12*T1*T2^11 - 
      12*T1^2*T2^11 + 20*T1^3*T2^11 - 7*T1^4*T2^11 + 37*T1^5*T2^11 + 
      46*T1^6*T2^11 + 50*T1^7*T2^11 + 39*T1^8*T2^11 + 37*T1^9*T2^11 + 
      64*T1^10*T2^11 + 64*T1^11*T2^11 + 37*T1^12*T2^11 + 39*T1^13*T2^11 + 
      50*T1^14*T2^11 + 46*T1^15*T2^11 + 37*T1^16*T2^11 - 7*T1^17*T2^11 + 
      20*T1^18*T2^11 - 12*T1^19*T2^11 - 12*T1^20*T2^11 + 16*T1^2*T2^12 + 
      12*T1^3*T2^12 - 25*T1^4*T2^12 + 7*T1^5*T2^12 - 82*T1^6*T2^12 + 
      26*T1^7*T2^12 - 119*T1^8*T2^12 + 39*T1^9*T2^12 - 137*T1^10*T2^12 + 
      37*T1^11*T2^12 - 137*T1^12*T2^12 + 39*T1^13*T2^12 - 119*T1^14*T2^12 + 
      26*T1^15*T2^12 - 82*T1^16*T2^12 + 7*T1^17*T2^12 - 25*T1^18*T2^12 + 
      12*T1^19*T2^12 + 16*T1^20*T2^12 - 20*T1^3*T2^13 - 12*T1^4*T2^13 + 
      30*T1^5*T2^13 + 27*T1^6*T2^13 + 27*T1^7*T2^13 + 26*T1^8*T2^13 + 
      50*T1^9*T2^13 + 50*T1^10*T2^13 + 39*T1^11*T2^13 + 39*T1^12*T2^13 + 
      50*T1^13*T2^13 + 50*T1^14*T2^13 + 26*T1^15*T2^13 + 27*T1^16*T2^13 + 
      27*T1^17*T2^13 + 30*T1^18*T2^13 - 12*T1^19*T2^13 - 20*T1^20*T2^13 + 
      24*T1^4*T2^14 + 12*T1^5*T2^14 - 65*T1^6*T2^14 + 27*T1^7*T2^14 - 
      82*T1^8*T2^14 + 46*T1^9*T2^14 - 133*T1^10*T2^14 + 50*T1^11*T2^14 - 
      119*T1^12*T2^14 + 50*T1^13*T2^14 - 133*T1^14*T2^14 + 46*T1^15*T2^14 - 
      82*T1^16*T2^14 + 27*T1^17*T2^14 - 65*T1^18*T2^14 + 12*T1^19*T2^14 + 
      24*T1^20*T2^14 - 28*T1^5*T2^15 + 12*T1^6*T2^15 + 30*T1^7*T2^15 + 
      7*T1^8*T2^15 + 37*T1^9*T2^15 + 8*T1^10*T2^15 + 46*T1^11*T2^15 + 
      26*T1^12*T2^15 + 26*T1^13*T2^15 + 46*T1^14*T2^15 + 8*T1^15*T2^15 + 
      37*T1^16*T2^15 + 7*T1^17*T2^15 + 30*T1^18*T2^15 + 12*T1^19*T2^15 - 
      28*T1^20*T2^15 + 24*T1^6*T2^16 - 12*T1^7*T2^16 - 25*T1^8*T2^16 - 
      7*T1^9*T2^16 - 45*T1^10*T2^16 + 37*T1^11*T2^16 - 82*T1^12*T2^16 + 
      27*T1^13*T2^16 - 82*T1^14*T2^16 + 37*T1^15*T2^16 - 45*T1^16*T2^16 - 
      7*T1^17*T2^16 - 25*T1^18*T2^16 - 12*T1^19*T2^16 + 24*T1^20*T2^16 - 
      20*T1^7*T2^17 + 12*T1^8*T2^17 + 20*T1^9*T2^17 + 22*T1^10*T2^17 - 
      7*T1^11*T2^17 + 7*T1^12*T2^17 + 27*T1^13*T2^17 + 27*T1^14*T2^17 + 
      7*T1^15*T2^17 - 7*T1^16*T2^17 + 22*T1^17*T2^17 + 20*T1^18*T2^17 + 
      12*T1^19*T2^17 - 20*T1^20*T2^17 + 16*T1^8*T2^18 - 12*T1^9*T2^18 - 
      29*T1^10*T2^18 + 20*T1^11*T2^18 - 25*T1^12*T2^18 + 30*T1^13*T2^18 - 
      65*T1^14*T2^18 + 30*T1^15*T2^18 - 25*T1^16*T2^18 + 20*T1^17*T2^18 - 
      29*T1^18*T2^18 - 12*T1^19*T2^18 + 16*T1^20*T2^18 - 12*T1^9*T2^19 + 
      24*T1^10*T2^19 - 12*T1^11*T2^19 + 12*T1^12*T2^19 - 12*T1^13*T2^19 + 
      12*T1^14*T2^19 + 12*T1^15*T2^19 - 12*T1^16*T2^19 + 12*T1^17*T2^19 - 
      12*T1^18*T2^19 + 24*T1^19*T2^19 - 12*T1^20*T2^19 + 4*T1^10*T2^20 - 
      12*T1^11*T2^20 + 16*T1^12*T2^20 - 20*T1^13*T2^20 + 24*T1^14*T2^20 - 
      28*T1^15*T2^20 + 24*T1^16*T2^20 - 20*T1^17*T2^20 + 16*T1^18*T2^20 - 
      12*T1^19*T2^20 + 4*T1^20*T2^20)/(T1^10*T2^10))}, 
 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), 
   -((2 - 8*T1 + 18*T1^2 - 30*T1^3 + 38*T1^4 - 42*T1^5 + 38*T1^6 - 30*T1^7 + 
      18*T1^8 - 8*T1^9 + 2*T1^10 - 8*T2 + 24*T1*T2 - 40*T1^2*T2 + 
      48*T1^3*T2 - 32*T1^4*T2 + 16*T1^5*T2 + 16*T1^6*T2 - 32*T1^7*T2 + 
      48*T1^8*T2 - 40*T1^9*T2 + 24*T1^10*T2 - 8*T1^11*T2 + 18*T2^2 - 
      40*T1*T2^2 + 51*T1^2*T2^2 - 49*T1^3*T2^2 + 11*T1^4*T2^2 - 
      19*T1^5*T2^2 - 11*T1^6*T2^2 - 19*T1^7*T2^2 + 11*T1^8*T2^2 - 
      49*T1^9*T2^2 + 51*T1^10*T2^2 - 40*T1^11*T2^2 + 18*T1^12*T2^2 - 
      30*T2^3 + 48*T1*T2^3 - 49*T1^2*T2^3 + 42*T1^3*T2^3 + 15*T1^4*T2^3 + 
      39*T1^5*T2^3 + 32*T1^6*T2^3 + 32*T1^7*T2^3 + 39*T1^8*T2^3 + 
      15*T1^9*T2^3 + 42*T1^10*T2^3 - 49*T1^11*T2^3 + 48*T1^12*T2^3 - 
      30*T1^13*T2^3 + 38*T2^4 - 32*T1*T2^4 + 11*T1^2*T2^4 + 15*T1^3*T2^4 - 
      103*T1^4*T2^4 + 5*T1^5*T2^4 - 161*T1^6*T2^4 + 27*T1^7*T2^4 - 
      161*T1^8*T2^4 + 5*T1^9*T2^4 - 103*T1^10*T2^4 + 15*T1^11*T2^4 + 
      11*T1^12*T2^4 - 32*T1^13*T2^4 + 38*T1^14*T2^4 - 42*T2^5 + 16*T1*T2^5 - 
      19*T1^2*T2^5 + 39*T1^3*T2^5 + 5*T1^4*T2^5 + 170*T1^5*T2^5 + 
      82*T1^6*T2^5 + 131*T1^7*T2^5 + 131*T1^8*T2^5 + 82*T1^9*T2^5 + 
      170*T1^10*T2^5 + 5*T1^11*T2^5 + 39*T1^12*T2^5 - 19*T1^13*T2^5 + 
      16*T1^14*T2^5 - 42*T1^15*T2^5 + 38*T2^6 + 16*T1*T2^6 - 11*T1^2*T2^6 + 
      32*T1^3*T2^6 - 161*T1^4*T2^6 + 82*T1^5*T2^6 - 525*T1^6*T2^6 + 
      258*T1^7*T2^6 - 621*T1^8*T2^6 + 258*T1^9*T2^6 - 525*T1^10*T2^6 + 
      82*T1^11*T2^6 - 161*T1^12*T2^6 + 32*T1^13*T2^6 - 11*T1^14*T2^6 + 
      16*T1^15*T2^6 + 38*T1^16*T2^6 - 30*T2^7 - 32*T1*T2^7 - 19*T1^2*T2^7 + 
      32*T1^3*T2^7 + 27*T1^4*T2^7 + 131*T1^5*T2^7 + 258*T1^6*T2^7 + 
      194*T1^7*T2^7 + 216*T1^8*T2^7 + 216*T1^9*T2^7 + 194*T1^10*T2^7 + 
      258*T1^11*T2^7 + 131*T1^12*T2^7 + 27*T1^13*T2^7 + 32*T1^14*T2^7 - 
      19*T1^15*T2^7 - 32*T1^16*T2^7 - 30*T1^17*T2^7 + 18*T2^8 + 48*T1*T2^8 + 
      11*T1^2*T2^8 + 39*T1^3*T2^8 - 161*T1^4*T2^8 + 131*T1^5*T2^8 - 
      621*T1^6*T2^8 + 216*T1^7*T2^8 - 796*T1^8*T2^8 + 358*T1^9*T2^8 - 
      796*T1^10*T2^8 + 216*T1^11*T2^8 - 621*T1^12*T2^8 + 131*T1^13*T2^8 - 
      161*T1^14*T2^8 + 39*T1^15*T2^8 + 11*T1^16*T2^8 + 48*T1^17*T2^8 + 
      18*T1^18*T2^8 - 8*T2^9 - 40*T1*T2^9 - 49*T1^2*T2^9 + 15*T1^3*T2^9 + 
      5*T1^4*T2^9 + 82*T1^5*T2^9 + 258*T1^6*T2^9 + 216*T1^7*T2^9 + 
      358*T1^8*T2^9 + 200*T1^9*T2^9 + 200*T1^10*T2^9 + 358*T1^11*T2^9 + 
      216*T1^12*T2^9 + 258*T1^13*T2^9 + 82*T1^14*T2^9 + 5*T1^15*T2^9 + 
      15*T1^16*T2^9 - 49*T1^17*T2^9 - 40*T1^18*T2^9 - 8*T1^19*T2^9 + 
      2*T2^10 + 24*T1*T2^10 + 51*T1^2*T2^10 + 42*T1^3*T2^10 - 
      103*T1^4*T2^10 + 170*T1^5*T2^10 - 525*T1^6*T2^10 + 194*T1^7*T2^10 - 
      796*T1^8*T2^10 + 200*T1^9*T2^10 - 660*T1^10*T2^10 + 200*T1^11*T2^10 - 
      796*T1^12*T2^10 + 194*T1^13*T2^10 - 525*T1^14*T2^10 + 170*T1^15*T2^10 - 
      103*T1^16*T2^10 + 42*T1^17*T2^10 + 51*T1^18*T2^10 + 24*T1^19*T2^10 + 
      2*T1^20*T2^10 - 8*T1*T2^11 - 40*T1^2*T2^11 - 49*T1^3*T2^11 + 
      15*T1^4*T2^11 + 5*T1^5*T2^11 + 82*T1^6*T2^11 + 258*T1^7*T2^11 + 
      216*T1^8*T2^11 + 358*T1^9*T2^11 + 200*T1^10*T2^11 + 200*T1^11*T2^11 + 
      358*T1^12*T2^11 + 216*T1^13*T2^11 + 258*T1^14*T2^11 + 82*T1^15*T2^11 + 
      5*T1^16*T2^11 + 15*T1^17*T2^11 - 49*T1^18*T2^11 - 40*T1^19*T2^11 - 
      8*T1^20*T2^11 + 18*T1^2*T2^12 + 48*T1^3*T2^12 + 11*T1^4*T2^12 + 
      39*T1^5*T2^12 - 161*T1^6*T2^12 + 131*T1^7*T2^12 - 621*T1^8*T2^12 + 
      216*T1^9*T2^12 - 796*T1^10*T2^12 + 358*T1^11*T2^12 - 796*T1^12*T2^12 + 
      216*T1^13*T2^12 - 621*T1^14*T2^12 + 131*T1^15*T2^12 - 161*T1^16*T2^12 + 
      39*T1^17*T2^12 + 11*T1^18*T2^12 + 48*T1^19*T2^12 + 18*T1^20*T2^12 - 
      30*T1^3*T2^13 - 32*T1^4*T2^13 - 19*T1^5*T2^13 + 32*T1^6*T2^13 + 
      27*T1^7*T2^13 + 131*T1^8*T2^13 + 258*T1^9*T2^13 + 194*T1^10*T2^13 + 
      216*T1^11*T2^13 + 216*T1^12*T2^13 + 194*T1^13*T2^13 + 258*T1^14*T2^13 + 
      131*T1^15*T2^13 + 27*T1^16*T2^13 + 32*T1^17*T2^13 - 19*T1^18*T2^13 - 
      32*T1^19*T2^13 - 30*T1^20*T2^13 + 38*T1^4*T2^14 + 16*T1^5*T2^14 - 
      11*T1^6*T2^14 + 32*T1^7*T2^14 - 161*T1^8*T2^14 + 82*T1^9*T2^14 - 
      525*T1^10*T2^14 + 258*T1^11*T2^14 - 621*T1^12*T2^14 + 258*T1^13*T2^14 - 
      525*T1^14*T2^14 + 82*T1^15*T2^14 - 161*T1^16*T2^14 + 32*T1^17*T2^14 - 
      11*T1^18*T2^14 + 16*T1^19*T2^14 + 38*T1^20*T2^14 - 42*T1^5*T2^15 + 
      16*T1^6*T2^15 - 19*T1^7*T2^15 + 39*T1^8*T2^15 + 5*T1^9*T2^15 + 
      170*T1^10*T2^15 + 82*T1^11*T2^15 + 131*T1^12*T2^15 + 131*T1^13*T2^15 + 
      82*T1^14*T2^15 + 170*T1^15*T2^15 + 5*T1^16*T2^15 + 39*T1^17*T2^15 - 
      19*T1^18*T2^15 + 16*T1^19*T2^15 - 42*T1^20*T2^15 + 38*T1^6*T2^16 - 
      32*T1^7*T2^16 + 11*T1^8*T2^16 + 15*T1^9*T2^16 - 103*T1^10*T2^16 + 
      5*T1^11*T2^16 - 161*T1^12*T2^16 + 27*T1^13*T2^16 - 161*T1^14*T2^16 + 
      5*T1^15*T2^16 - 103*T1^16*T2^16 + 15*T1^17*T2^16 + 11*T1^18*T2^16 - 
      32*T1^19*T2^16 + 38*T1^20*T2^16 - 30*T1^7*T2^17 + 48*T1^8*T2^17 - 
      49*T1^9*T2^17 + 42*T1^10*T2^17 + 15*T1^11*T2^17 + 39*T1^12*T2^17 + 
      32*T1^13*T2^17 + 32*T1^14*T2^17 + 39*T1^15*T2^17 + 15*T1^16*T2^17 + 
      42*T1^17*T2^17 - 49*T1^18*T2^17 + 48*T1^19*T2^17 - 30*T1^20*T2^17 + 
      18*T1^8*T2^18 - 40*T1^9*T2^18 + 51*T1^10*T2^18 - 49*T1^11*T2^18 + 
      11*T1^12*T2^18 - 19*T1^13*T2^18 - 11*T1^14*T2^18 - 19*T1^15*T2^18 + 
      11*T1^16*T2^18 - 49*T1^17*T2^18 + 51*T1^18*T2^18 - 40*T1^19*T2^18 + 
      18*T1^20*T2^18 - 8*T1^9*T2^19 + 24*T1^10*T2^19 - 40*T1^11*T2^19 + 
      48*T1^12*T2^19 - 32*T1^13*T2^19 + 16*T1^14*T2^19 + 16*T1^15*T2^19 - 
      32*T1^16*T2^19 + 48*T1^17*T2^19 - 40*T1^18*T2^19 + 24*T1^19*T2^19 - 
      8*T1^20*T2^19 + 2*T1^10*T2^20 - 8*T1^11*T2^20 + 18*T1^12*T2^20 - 
      30*T1^13*T2^20 + 38*T1^14*T2^20 - 42*T1^15*T2^20 + 38*T1^16*T2^20 - 
      30*T1^17*T2^20 + 18*T1^18*T2^20 - 8*T1^19*T2^20 + 2*T1^20*T2^20)/
     (T1^10*T2^10))}, 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), (7 - 39*T1 + 89*T1^2 - 123*T1^3 + 129*T1^4 - 123*T1^5 + 89*T1^6 - 
     39*T1^7 + 7*T1^8 - 39*T2 + 178*T1*T2 - 278*T1^2*T2 + 190*T1^3*T2 - 
     34*T1^4*T2 - 34*T1^5*T2 + 190*T1^6*T2 - 278*T1^7*T2 + 178*T1^8*T2 - 
     39*T1^9*T2 + 89*T2^2 - 278*T1*T2^2 + 8*T1^2*T2^2 + 722*T1^3*T2^2 - 
     1110*T1^4*T2^2 + 972*T1^5*T2^2 - 1110*T1^6*T2^2 + 722*T1^7*T2^2 + 
     8*T1^8*T2^2 - 278*T1^9*T2^2 + 89*T1^10*T2^2 - 123*T2^3 + 190*T1*T2^3 + 
     722*T1^2*T2^3 - 1648*T1^3*T2^3 + 1088*T1^4*T2^3 + 6*T1^5*T2^3 + 
     6*T1^6*T2^3 + 1088*T1^7*T2^3 - 1648*T1^8*T2^3 + 722*T1^9*T2^3 + 
     190*T1^10*T2^3 - 123*T1^11*T2^3 + 129*T2^4 - 34*T1*T2^4 - 
     1110*T1^2*T2^4 + 1088*T1^3*T2^4 + 1072*T1^4*T2^4 - 2362*T1^5*T2^4 + 
     1562*T1^6*T2^4 - 2362*T1^7*T2^4 + 1072*T1^8*T2^4 + 1088*T1^9*T2^4 - 
     1110*T1^10*T2^4 - 34*T1^11*T2^4 + 129*T1^12*T2^4 - 123*T2^5 - 
     34*T1*T2^5 + 972*T1^2*T2^5 + 6*T1^3*T2^5 - 2362*T1^4*T2^5 + 
     2002*T1^5*T2^5 + 104*T1^6*T2^5 + 104*T1^7*T2^5 + 2002*T1^8*T2^5 - 
     2362*T1^9*T2^5 + 6*T1^10*T2^5 + 972*T1^11*T2^5 - 34*T1^12*T2^5 - 
     123*T1^13*T2^5 + 89*T2^6 + 190*T1*T2^6 - 1110*T1^2*T2^6 + 6*T1^3*T2^6 + 
     1562*T1^4*T2^6 + 104*T1^5*T2^6 - 1876*T1^6*T2^6 + 1002*T1^7*T2^6 - 
     1876*T1^8*T2^6 + 104*T1^9*T2^6 + 1562*T1^10*T2^6 + 6*T1^11*T2^6 - 
     1110*T1^12*T2^6 + 190*T1^13*T2^6 + 89*T1^14*T2^6 - 39*T2^7 - 
     278*T1*T2^7 + 722*T1^2*T2^7 + 1088*T1^3*T2^7 - 2362*T1^4*T2^7 + 
     104*T1^5*T2^7 + 1002*T1^6*T2^7 + 166*T1^7*T2^7 + 166*T1^8*T2^7 + 
     1002*T1^9*T2^7 + 104*T1^10*T2^7 - 2362*T1^11*T2^7 + 1088*T1^12*T2^7 + 
     722*T1^13*T2^7 - 278*T1^14*T2^7 - 39*T1^15*T2^7 + 7*T2^8 + 178*T1*T2^8 + 
     8*T1^2*T2^8 - 1648*T1^3*T2^8 + 1072*T1^4*T2^8 + 2002*T1^5*T2^8 - 
     1876*T1^6*T2^8 + 166*T1^7*T2^8 - 480*T1^8*T2^8 + 166*T1^9*T2^8 - 
     1876*T1^10*T2^8 + 2002*T1^11*T2^8 + 1072*T1^12*T2^8 - 1648*T1^13*T2^8 + 
     8*T1^14*T2^8 + 178*T1^15*T2^8 + 7*T1^16*T2^8 - 39*T1*T2^9 - 
     278*T1^2*T2^9 + 722*T1^3*T2^9 + 1088*T1^4*T2^9 - 2362*T1^5*T2^9 + 
     104*T1^6*T2^9 + 1002*T1^7*T2^9 + 166*T1^8*T2^9 + 166*T1^9*T2^9 + 
     1002*T1^10*T2^9 + 104*T1^11*T2^9 - 2362*T1^12*T2^9 + 1088*T1^13*T2^9 + 
     722*T1^14*T2^9 - 278*T1^15*T2^9 - 39*T1^16*T2^9 + 89*T1^2*T2^10 + 
     190*T1^3*T2^10 - 1110*T1^4*T2^10 + 6*T1^5*T2^10 + 1562*T1^6*T2^10 + 
     104*T1^7*T2^10 - 1876*T1^8*T2^10 + 1002*T1^9*T2^10 - 1876*T1^10*T2^10 + 
     104*T1^11*T2^10 + 1562*T1^12*T2^10 + 6*T1^13*T2^10 - 1110*T1^14*T2^10 + 
     190*T1^15*T2^10 + 89*T1^16*T2^10 - 123*T1^3*T2^11 - 34*T1^4*T2^11 + 
     972*T1^5*T2^11 + 6*T1^6*T2^11 - 2362*T1^7*T2^11 + 2002*T1^8*T2^11 + 
     104*T1^9*T2^11 + 104*T1^10*T2^11 + 2002*T1^11*T2^11 - 2362*T1^12*T2^11 + 
     6*T1^13*T2^11 + 972*T1^14*T2^11 - 34*T1^15*T2^11 - 123*T1^16*T2^11 + 
     129*T1^4*T2^12 - 34*T1^5*T2^12 - 1110*T1^6*T2^12 + 1088*T1^7*T2^12 + 
     1072*T1^8*T2^12 - 2362*T1^9*T2^12 + 1562*T1^10*T2^12 - 
     2362*T1^11*T2^12 + 1072*T1^12*T2^12 + 1088*T1^13*T2^12 - 
     1110*T1^14*T2^12 - 34*T1^15*T2^12 + 129*T1^16*T2^12 - 123*T1^5*T2^13 + 
     190*T1^6*T2^13 + 722*T1^7*T2^13 - 1648*T1^8*T2^13 + 1088*T1^9*T2^13 + 
     6*T1^10*T2^13 + 6*T1^11*T2^13 + 1088*T1^12*T2^13 - 1648*T1^13*T2^13 + 
     722*T1^14*T2^13 + 190*T1^15*T2^13 - 123*T1^16*T2^13 + 89*T1^6*T2^14 - 
     278*T1^7*T2^14 + 8*T1^8*T2^14 + 722*T1^9*T2^14 - 1110*T1^10*T2^14 + 
     972*T1^11*T2^14 - 1110*T1^12*T2^14 + 722*T1^13*T2^14 + 8*T1^14*T2^14 - 
     278*T1^15*T2^14 + 89*T1^16*T2^14 - 39*T1^7*T2^15 + 178*T1^8*T2^15 - 
     278*T1^9*T2^15 + 190*T1^10*T2^15 - 34*T1^11*T2^15 - 34*T1^12*T2^15 + 
     190*T1^13*T2^15 - 278*T1^14*T2^15 + 178*T1^15*T2^15 - 39*T1^16*T2^15 + 
     7*T1^8*T2^16 - 39*T1^9*T2^16 + 89*T1^10*T2^16 - 123*T1^11*T2^16 + 
     129*T1^12*T2^16 - 123*T1^13*T2^16 + 89*T1^14*T2^16 - 39*T1^15*T2^16 + 
     7*T1^16*T2^16)/(T1^8*T2^8)}, Knot[12, Alternating, 1217] -> 
  {-((4 - 23*T + 55*T^2 - 73*T^3 + 55*T^4 - 23*T^5 + 4*T^6)/T^3), 
   -((4*T1 - 12*T1^2 + 16*T1^3 - 12*T1^4 + 4*T1^5 + 4*T2 - 38*T1*T2 + 
      68*T1^2*T2 - 36*T1^3*T2 - 36*T1^4*T2 + 68*T1^5*T2 - 38*T1^6*T2 + 
      4*T1^7*T2 - 12*T2^2 + 68*T1*T2^2 + 33*T1^2*T2^2 - 348*T1^3*T2^2 + 
      533*T1^4*T2^2 - 348*T1^5*T2^2 + 33*T1^6*T2^2 + 68*T1^7*T2^2 - 
      12*T1^8*T2^2 + 16*T2^3 - 36*T1*T2^3 - 348*T1^2*T2^3 + 850*T1^3*T2^3 - 
      470*T1^4*T2^3 - 470*T1^5*T2^3 + 850*T1^6*T2^3 - 348*T1^7*T2^3 - 
      36*T1^8*T2^3 + 16*T1^9*T2^3 - 12*T2^4 - 36*T1*T2^4 + 533*T1^2*T2^4 - 
      470*T1^3*T2^4 - 1320*T1^4*T2^4 + 2368*T1^5*T2^4 - 1320*T1^6*T2^4 - 
      470*T1^7*T2^4 + 533*T1^8*T2^4 - 36*T1^9*T2^4 - 12*T1^10*T2^4 + 4*T2^5 + 
      68*T1*T2^5 - 348*T1^2*T2^5 - 470*T1^3*T2^5 + 2368*T1^4*T2^5 - 
      1316*T1^5*T2^5 - 1316*T1^6*T2^5 + 2368*T1^7*T2^5 - 470*T1^8*T2^5 - 
      348*T1^9*T2^5 + 68*T1^10*T2^5 + 4*T1^11*T2^5 - 38*T1*T2^6 + 
      33*T1^2*T2^6 + 850*T1^3*T2^6 - 1320*T1^4*T2^6 - 1316*T1^5*T2^6 + 
      2772*T1^6*T2^6 - 1316*T1^7*T2^6 - 1320*T1^8*T2^6 + 850*T1^9*T2^6 + 
      33*T1^10*T2^6 - 38*T1^11*T2^6 + 4*T1*T2^7 + 68*T1^2*T2^7 - 
      348*T1^3*T2^7 - 470*T1^4*T2^7 + 2368*T1^5*T2^7 - 1316*T1^6*T2^7 - 
      1316*T1^7*T2^7 + 2368*T1^8*T2^7 - 470*T1^9*T2^7 - 348*T1^10*T2^7 + 
      68*T1^11*T2^7 + 4*T1^12*T2^7 - 12*T1^2*T2^8 - 36*T1^3*T2^8 + 
      533*T1^4*T2^8 - 470*T1^5*T2^8 - 1320*T1^6*T2^8 + 2368*T1^7*T2^8 - 
      1320*T1^8*T2^8 - 470*T1^9*T2^8 + 533*T1^10*T2^8 - 36*T1^11*T2^8 - 
      12*T1^12*T2^8 + 16*T1^3*T2^9 - 36*T1^4*T2^9 - 348*T1^5*T2^9 + 
      850*T1^6*T2^9 - 470*T1^7*T2^9 - 470*T1^8*T2^9 + 850*T1^9*T2^9 - 
      348*T1^10*T2^9 - 36*T1^11*T2^9 + 16*T1^12*T2^9 - 12*T1^4*T2^10 + 
      68*T1^5*T2^10 + 33*T1^6*T2^10 - 348*T1^7*T2^10 + 533*T1^8*T2^10 - 
      348*T1^9*T2^10 + 33*T1^10*T2^10 + 68*T1^11*T2^10 - 12*T1^12*T2^10 + 
      4*T1^5*T2^11 - 38*T1^6*T2^11 + 68*T1^7*T2^11 - 36*T1^8*T2^11 - 
      36*T1^9*T2^11 + 68*T1^10*T2^11 - 38*T1^11*T2^11 + 4*T1^12*T2^11 + 
      4*T1^7*T2^12 - 12*T1^8*T2^12 + 16*T1^9*T2^12 - 12*T1^10*T2^12 + 
      4*T1^11*T2^12)/(T1^6*T2^6))}, 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), 0}, 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, -((1 - 4*T1 + 9*T1^2 - 15*T1^3 + 21*T1^4 - 23*T1^5 + 
      21*T1^6 - 15*T1^7 + 9*T1^8 - 4*T1^9 + T1^10 - 4*T2 + 12*T1*T2 - 
      20*T1^2*T2 + 24*T1^3*T2 - 24*T1^4*T2 + 8*T1^5*T2 + 8*T1^6*T2 - 
      24*T1^7*T2 + 24*T1^8*T2 - 20*T1^9*T2 + 12*T1^10*T2 - 4*T1^11*T2 + 
      9*T2^2 - 20*T1*T2^2 + 25*T1^2*T2^2 - 24*T1^3*T2^2 + 23*T1^4*T2^2 + 
      7*T1^5*T2^2 - 7*T1^6*T2^2 + 7*T1^7*T2^2 + 23*T1^8*T2^2 - 24*T1^9*T2^2 + 
      25*T1^10*T2^2 - 20*T1^11*T2^2 + 9*T1^12*T2^2 - 15*T2^3 + 24*T1*T2^3 - 
      24*T1^2*T2^3 + 24*T1^3*T2^3 - 26*T1^4*T2^3 - 27*T1^5*T2^3 - 
      4*T1^6*T2^3 - 4*T1^7*T2^3 - 27*T1^8*T2^3 - 26*T1^9*T2^3 + 
      24*T1^10*T2^3 - 24*T1^11*T2^3 + 24*T1^12*T2^3 - 15*T1^13*T2^3 + 
      21*T2^4 - 24*T1*T2^4 + 23*T1^2*T2^4 - 26*T1^3*T2^4 + 18*T1^4*T2^4 + 
      72*T1^5*T2^4 + 9*T1^6*T2^4 + 34*T1^7*T2^4 + 9*T1^8*T2^4 + 
      72*T1^9*T2^4 + 18*T1^10*T2^4 - 26*T1^11*T2^4 + 23*T1^12*T2^4 - 
      24*T1^13*T2^4 + 21*T1^14*T2^4 - 23*T2^5 + 8*T1*T2^5 + 7*T1^2*T2^5 - 
      27*T1^3*T2^5 + 72*T1^4*T2^5 - 176*T1^5*T2^5 - 8*T1^6*T2^5 - 
      58*T1^7*T2^5 - 58*T1^8*T2^5 - 8*T1^9*T2^5 - 176*T1^10*T2^5 + 
      72*T1^11*T2^5 - 27*T1^12*T2^5 + 7*T1^13*T2^5 + 8*T1^14*T2^5 - 
      23*T1^15*T2^5 + 21*T2^6 + 8*T1*T2^6 - 7*T1^2*T2^6 - 4*T1^3*T2^6 + 
      9*T1^4*T2^6 - 8*T1^5*T2^6 + 312*T1^6*T2^6 - 159*T1^7*T2^6 + 
      296*T1^8*T2^6 - 159*T1^9*T2^6 + 312*T1^10*T2^6 - 8*T1^11*T2^6 + 
      9*T1^12*T2^6 - 4*T1^13*T2^6 - 7*T1^14*T2^6 + 8*T1^15*T2^6 + 
      21*T1^16*T2^6 - 15*T2^7 - 24*T1*T2^7 + 7*T1^2*T2^7 - 4*T1^3*T2^7 + 
      34*T1^4*T2^7 - 58*T1^5*T2^7 - 159*T1^6*T2^7 - 158*T1^7*T2^7 - 
      56*T1^8*T2^7 - 56*T1^9*T2^7 - 158*T1^10*T2^7 - 159*T1^11*T2^7 - 
      58*T1^12*T2^7 + 34*T1^13*T2^7 - 4*T1^14*T2^7 + 7*T1^15*T2^7 - 
      24*T1^16*T2^7 - 15*T1^17*T2^7 + 9*T2^8 + 24*T1*T2^8 + 23*T1^2*T2^8 - 
      27*T1^3*T2^8 + 9*T1^4*T2^8 - 58*T1^5*T2^8 + 296*T1^6*T2^8 - 
      56*T1^7*T2^8 + 482*T1^8*T2^8 - 356*T1^9*T2^8 + 482*T1^10*T2^8 - 
      56*T1^11*T2^8 + 296*T1^12*T2^8 - 58*T1^13*T2^8 + 9*T1^14*T2^8 - 
      27*T1^15*T2^8 + 23*T1^16*T2^8 + 24*T1^17*T2^8 + 9*T1^18*T2^8 - 4*T2^9 - 
      20*T1*T2^9 - 24*T1^2*T2^9 - 26*T1^3*T2^9 + 72*T1^4*T2^9 - 8*T1^5*T2^9 - 
      159*T1^6*T2^9 - 56*T1^7*T2^9 - 356*T1^8*T2^9 - 356*T1^11*T2^9 - 
      56*T1^12*T2^9 - 159*T1^13*T2^9 - 8*T1^14*T2^9 + 72*T1^15*T2^9 - 
      26*T1^16*T2^9 - 24*T1^17*T2^9 - 20*T1^18*T2^9 - 4*T1^19*T2^9 + T2^10 + 
      12*T1*T2^10 + 25*T1^2*T2^10 + 24*T1^3*T2^10 + 18*T1^4*T2^10 - 
      176*T1^5*T2^10 + 312*T1^6*T2^10 - 158*T1^7*T2^10 + 482*T1^8*T2^10 + 
      120*T1^10*T2^10 + 482*T1^12*T2^10 - 158*T1^13*T2^10 + 312*T1^14*T2^10 - 
      176*T1^15*T2^10 + 18*T1^16*T2^10 + 24*T1^17*T2^10 + 25*T1^18*T2^10 + 
      12*T1^19*T2^10 + T1^20*T2^10 - 4*T1*T2^11 - 20*T1^2*T2^11 - 
      24*T1^3*T2^11 - 26*T1^4*T2^11 + 72*T1^5*T2^11 - 8*T1^6*T2^11 - 
      159*T1^7*T2^11 - 56*T1^8*T2^11 - 356*T1^9*T2^11 - 356*T1^12*T2^11 - 
      56*T1^13*T2^11 - 159*T1^14*T2^11 - 8*T1^15*T2^11 + 72*T1^16*T2^11 - 
      26*T1^17*T2^11 - 24*T1^18*T2^11 - 20*T1^19*T2^11 - 4*T1^20*T2^11 + 
      9*T1^2*T2^12 + 24*T1^3*T2^12 + 23*T1^4*T2^12 - 27*T1^5*T2^12 + 
      9*T1^6*T2^12 - 58*T1^7*T2^12 + 296*T1^8*T2^12 - 56*T1^9*T2^12 + 
      482*T1^10*T2^12 - 356*T1^11*T2^12 + 482*T1^12*T2^12 - 56*T1^13*T2^12 + 
      296*T1^14*T2^12 - 58*T1^15*T2^12 + 9*T1^16*T2^12 - 27*T1^17*T2^12 + 
      23*T1^18*T2^12 + 24*T1^19*T2^12 + 9*T1^20*T2^12 - 15*T1^3*T2^13 - 
      24*T1^4*T2^13 + 7*T1^5*T2^13 - 4*T1^6*T2^13 + 34*T1^7*T2^13 - 
      58*T1^8*T2^13 - 159*T1^9*T2^13 - 158*T1^10*T2^13 - 56*T1^11*T2^13 - 
      56*T1^12*T2^13 - 158*T1^13*T2^13 - 159*T1^14*T2^13 - 58*T1^15*T2^13 + 
      34*T1^16*T2^13 - 4*T1^17*T2^13 + 7*T1^18*T2^13 - 24*T1^19*T2^13 - 
      15*T1^20*T2^13 + 21*T1^4*T2^14 + 8*T1^5*T2^14 - 7*T1^6*T2^14 - 
      4*T1^7*T2^14 + 9*T1^8*T2^14 - 8*T1^9*T2^14 + 312*T1^10*T2^14 - 
      159*T1^11*T2^14 + 296*T1^12*T2^14 - 159*T1^13*T2^14 + 312*T1^14*T2^14 - 
      8*T1^15*T2^14 + 9*T1^16*T2^14 - 4*T1^17*T2^14 - 7*T1^18*T2^14 + 
      8*T1^19*T2^14 + 21*T1^20*T2^14 - 23*T1^5*T2^15 + 8*T1^6*T2^15 + 
      7*T1^7*T2^15 - 27*T1^8*T2^15 + 72*T1^9*T2^15 - 176*T1^10*T2^15 - 
      8*T1^11*T2^15 - 58*T1^12*T2^15 - 58*T1^13*T2^15 - 8*T1^14*T2^15 - 
      176*T1^15*T2^15 + 72*T1^16*T2^15 - 27*T1^17*T2^15 + 7*T1^18*T2^15 + 
      8*T1^19*T2^15 - 23*T1^20*T2^15 + 21*T1^6*T2^16 - 24*T1^7*T2^16 + 
      23*T1^8*T2^16 - 26*T1^9*T2^16 + 18*T1^10*T2^16 + 72*T1^11*T2^16 + 
      9*T1^12*T2^16 + 34*T1^13*T2^16 + 9*T1^14*T2^16 + 72*T1^15*T2^16 + 
      18*T1^16*T2^16 - 26*T1^17*T2^16 + 23*T1^18*T2^16 - 24*T1^19*T2^16 + 
      21*T1^20*T2^16 - 15*T1^7*T2^17 + 24*T1^8*T2^17 - 24*T1^9*T2^17 + 
      24*T1^10*T2^17 - 26*T1^11*T2^17 - 27*T1^12*T2^17 - 4*T1^13*T2^17 - 
      4*T1^14*T2^17 - 27*T1^15*T2^17 - 26*T1^16*T2^17 + 24*T1^17*T2^17 - 
      24*T1^18*T2^17 + 24*T1^19*T2^17 - 15*T1^20*T2^17 + 9*T1^8*T2^18 - 
      20*T1^9*T2^18 + 25*T1^10*T2^18 - 24*T1^11*T2^18 + 23*T1^12*T2^18 + 
      7*T1^13*T2^18 - 7*T1^14*T2^18 + 7*T1^15*T2^18 + 23*T1^16*T2^18 - 
      24*T1^17*T2^18 + 25*T1^18*T2^18 - 20*T1^19*T2^18 + 9*T1^20*T2^18 - 
      4*T1^9*T2^19 + 12*T1^10*T2^19 - 20*T1^11*T2^19 + 24*T1^12*T2^19 - 
      24*T1^13*T2^19 + 8*T1^14*T2^19 + 8*T1^15*T2^19 - 24*T1^16*T2^19 + 
      24*T1^17*T2^19 - 20*T1^18*T2^19 + 12*T1^19*T2^19 - 4*T1^20*T2^19 + 
      T1^10*T2^20 - 4*T1^11*T2^20 + 9*T1^12*T2^20 - 15*T1^13*T2^20 + 
      21*T1^14*T2^20 - 23*T1^15*T2^20 + 21*T1^16*T2^20 - 15*T1^17*T2^20 + 
      9*T1^18*T2^20 - 4*T1^19*T2^20 + T1^20*T2^20)/(T1^10*T2^10))}, 
 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, -((3 - 12*T1 + 24*T1^2 - 33*T1^3 + 42*T1^4 - 
      45*T1^5 + 42*T1^6 - 33*T1^7 + 24*T1^8 - 12*T1^9 + 3*T1^10 - 12*T2 + 
      36*T1*T2 - 48*T1^2*T2 + 36*T1^3*T2 - 36*T1^4*T2 + 12*T1^5*T2 + 
      12*T1^6*T2 - 36*T1^7*T2 + 36*T1^8*T2 - 48*T1^9*T2 + 36*T1^10*T2 - 
      12*T1^11*T2 + 24*T2^2 - 48*T1*T2^2 + 22*T1^2*T2^2 + 32*T1^3*T2^2 - 
      16*T1^4*T2^2 + 68*T1^5*T2^2 - 70*T1^6*T2^2 + 68*T1^7*T2^2 - 
      16*T1^8*T2^2 + 32*T1^9*T2^2 + 22*T1^10*T2^2 - 48*T1^11*T2^2 + 
      24*T1^12*T2^2 - 33*T2^3 + 36*T1*T2^3 + 32*T1^2*T2^3 - 76*T1^3*T2^3 - 
      13*T1^4*T2^3 - 70*T1^5*T2^3 + 4*T1^6*T2^3 + 4*T1^7*T2^3 - 
      70*T1^8*T2^3 - 13*T1^9*T2^3 - 76*T1^10*T2^3 + 32*T1^11*T2^3 + 
      36*T1^12*T2^3 - 33*T1^13*T2^3 + 42*T2^4 - 36*T1*T2^4 - 16*T1^2*T2^4 - 
      13*T1^3*T2^4 + 166*T1^4*T2^4 - 25*T1^5*T2^4 + 174*T1^6*T2^4 - 
      118*T1^7*T2^4 + 174*T1^8*T2^4 - 25*T1^9*T2^4 + 166*T1^10*T2^4 - 
      13*T1^11*T2^4 - 16*T1^12*T2^4 - 36*T1^13*T2^4 + 42*T1^14*T2^4 - 
      45*T2^5 + 12*T1*T2^5 + 68*T1^2*T2^5 - 70*T1^3*T2^5 - 25*T1^4*T2^5 - 
      198*T1^5*T2^5 - 42*T1^6*T2^5 - 78*T1^7*T2^5 - 78*T1^8*T2^5 - 
      42*T1^9*T2^5 - 198*T1^10*T2^5 - 25*T1^11*T2^5 - 70*T1^12*T2^5 + 
      68*T1^13*T2^5 + 12*T1^14*T2^5 - 45*T1^15*T2^5 + 42*T2^6 + 12*T1*T2^6 - 
      70*T1^2*T2^6 + 4*T1^3*T2^6 + 174*T1^4*T2^6 - 42*T1^5*T2^6 + 
      436*T1^6*T2^6 - 262*T1^7*T2^6 + 490*T1^8*T2^6 - 262*T1^9*T2^6 + 
      436*T1^10*T2^6 - 42*T1^11*T2^6 + 174*T1^12*T2^6 + 4*T1^13*T2^6 - 
      70*T1^14*T2^6 + 12*T1^15*T2^6 + 42*T1^16*T2^6 - 33*T2^7 - 36*T1*T2^7 + 
      68*T1^2*T2^7 + 4*T1^3*T2^7 - 118*T1^4*T2^7 - 78*T1^5*T2^7 - 
      262*T1^6*T2^7 - 84*T1^7*T2^7 - 153*T1^8*T2^7 - 153*T1^9*T2^7 - 
      84*T1^10*T2^7 - 262*T1^11*T2^7 - 78*T1^12*T2^7 - 118*T1^13*T2^7 + 
      4*T1^14*T2^7 + 68*T1^15*T2^7 - 36*T1^16*T2^7 - 33*T1^17*T2^7 + 
      24*T2^8 + 36*T1*T2^8 - 16*T1^2*T2^8 - 70*T1^3*T2^8 + 174*T1^4*T2^8 - 
      78*T1^5*T2^8 + 490*T1^6*T2^8 - 153*T1^7*T2^8 + 530*T1^8*T2^8 - 
      246*T1^9*T2^8 + 530*T1^10*T2^8 - 153*T1^11*T2^8 + 490*T1^12*T2^8 - 
      78*T1^13*T2^8 + 174*T1^14*T2^8 - 70*T1^15*T2^8 - 16*T1^16*T2^8 + 
      36*T1^17*T2^8 + 24*T1^18*T2^8 - 12*T2^9 - 48*T1*T2^9 + 32*T1^2*T2^9 - 
      13*T1^3*T2^9 - 25*T1^4*T2^9 - 42*T1^5*T2^9 - 262*T1^6*T2^9 - 
      153*T1^7*T2^9 - 246*T1^8*T2^9 - 122*T1^9*T2^9 - 122*T1^10*T2^9 - 
      246*T1^11*T2^9 - 153*T1^12*T2^9 - 262*T1^13*T2^9 - 42*T1^14*T2^9 - 
      25*T1^15*T2^9 - 13*T1^16*T2^9 + 32*T1^17*T2^9 - 48*T1^18*T2^9 - 
      12*T1^19*T2^9 + 3*T2^10 + 36*T1*T2^10 + 22*T1^2*T2^10 - 76*T1^3*T2^10 + 
      166*T1^4*T2^10 - 198*T1^5*T2^10 + 436*T1^6*T2^10 - 84*T1^7*T2^10 + 
      530*T1^8*T2^10 - 122*T1^9*T2^10 + 408*T1^10*T2^10 - 122*T1^11*T2^10 + 
      530*T1^12*T2^10 - 84*T1^13*T2^10 + 436*T1^14*T2^10 - 198*T1^15*T2^10 + 
      166*T1^16*T2^10 - 76*T1^17*T2^10 + 22*T1^18*T2^10 + 36*T1^19*T2^10 + 
      3*T1^20*T2^10 - 12*T1*T2^11 - 48*T1^2*T2^11 + 32*T1^3*T2^11 - 
      13*T1^4*T2^11 - 25*T1^5*T2^11 - 42*T1^6*T2^11 - 262*T1^7*T2^11 - 
      153*T1^8*T2^11 - 246*T1^9*T2^11 - 122*T1^10*T2^11 - 122*T1^11*T2^11 - 
      246*T1^12*T2^11 - 153*T1^13*T2^11 - 262*T1^14*T2^11 - 42*T1^15*T2^11 - 
      25*T1^16*T2^11 - 13*T1^17*T2^11 + 32*T1^18*T2^11 - 48*T1^19*T2^11 - 
      12*T1^20*T2^11 + 24*T1^2*T2^12 + 36*T1^3*T2^12 - 16*T1^4*T2^12 - 
      70*T1^5*T2^12 + 174*T1^6*T2^12 - 78*T1^7*T2^12 + 490*T1^8*T2^12 - 
      153*T1^9*T2^12 + 530*T1^10*T2^12 - 246*T1^11*T2^12 + 530*T1^12*T2^12 - 
      153*T1^13*T2^12 + 490*T1^14*T2^12 - 78*T1^15*T2^12 + 174*T1^16*T2^12 - 
      70*T1^17*T2^12 - 16*T1^18*T2^12 + 36*T1^19*T2^12 + 24*T1^20*T2^12 - 
      33*T1^3*T2^13 - 36*T1^4*T2^13 + 68*T1^5*T2^13 + 4*T1^6*T2^13 - 
      118*T1^7*T2^13 - 78*T1^8*T2^13 - 262*T1^9*T2^13 - 84*T1^10*T2^13 - 
      153*T1^11*T2^13 - 153*T1^12*T2^13 - 84*T1^13*T2^13 - 262*T1^14*T2^13 - 
      78*T1^15*T2^13 - 118*T1^16*T2^13 + 4*T1^17*T2^13 + 68*T1^18*T2^13 - 
      36*T1^19*T2^13 - 33*T1^20*T2^13 + 42*T1^4*T2^14 + 12*T1^5*T2^14 - 
      70*T1^6*T2^14 + 4*T1^7*T2^14 + 174*T1^8*T2^14 - 42*T1^9*T2^14 + 
      436*T1^10*T2^14 - 262*T1^11*T2^14 + 490*T1^12*T2^14 - 262*T1^13*T2^14 + 
      436*T1^14*T2^14 - 42*T1^15*T2^14 + 174*T1^16*T2^14 + 4*T1^17*T2^14 - 
      70*T1^18*T2^14 + 12*T1^19*T2^14 + 42*T1^20*T2^14 - 45*T1^5*T2^15 + 
      12*T1^6*T2^15 + 68*T1^7*T2^15 - 70*T1^8*T2^15 - 25*T1^9*T2^15 - 
      198*T1^10*T2^15 - 42*T1^11*T2^15 - 78*T1^12*T2^15 - 78*T1^13*T2^15 - 
      42*T1^14*T2^15 - 198*T1^15*T2^15 - 25*T1^16*T2^15 - 70*T1^17*T2^15 + 
      68*T1^18*T2^15 + 12*T1^19*T2^15 - 45*T1^20*T2^15 + 42*T1^6*T2^16 - 
      36*T1^7*T2^16 - 16*T1^8*T2^16 - 13*T1^9*T2^16 + 166*T1^10*T2^16 - 
      25*T1^11*T2^16 + 174*T1^12*T2^16 - 118*T1^13*T2^16 + 174*T1^14*T2^16 - 
      25*T1^15*T2^16 + 166*T1^16*T2^16 - 13*T1^17*T2^16 - 16*T1^18*T2^16 - 
      36*T1^19*T2^16 + 42*T1^20*T2^16 - 33*T1^7*T2^17 + 36*T1^8*T2^17 + 
      32*T1^9*T2^17 - 76*T1^10*T2^17 - 13*T1^11*T2^17 - 70*T1^12*T2^17 + 
      4*T1^13*T2^17 + 4*T1^14*T2^17 - 70*T1^15*T2^17 - 13*T1^16*T2^17 - 
      76*T1^17*T2^17 + 32*T1^18*T2^17 + 36*T1^19*T2^17 - 33*T1^20*T2^17 + 
      24*T1^8*T2^18 - 48*T1^9*T2^18 + 22*T1^10*T2^18 + 32*T1^11*T2^18 - 
      16*T1^12*T2^18 + 68*T1^13*T2^18 - 70*T1^14*T2^18 + 68*T1^15*T2^18 - 
      16*T1^16*T2^18 + 32*T1^17*T2^18 + 22*T1^18*T2^18 - 48*T1^19*T2^18 + 
      24*T1^20*T2^18 - 12*T1^9*T2^19 + 36*T1^10*T2^19 - 48*T1^11*T2^19 + 
      36*T1^12*T2^19 - 36*T1^13*T2^19 + 12*T1^14*T2^19 + 12*T1^15*T2^19 - 
      36*T1^16*T2^19 + 36*T1^17*T2^19 - 48*T1^18*T2^19 + 36*T1^19*T2^19 - 
      12*T1^20*T2^19 + 3*T1^10*T2^20 - 12*T1^11*T2^20 + 24*T1^12*T2^20 - 
      33*T1^13*T2^20 + 42*T1^14*T2^20 - 45*T1^15*T2^20 + 42*T1^16*T2^20 - 
      33*T1^17*T2^20 + 24*T1^18*T2^20 - 12*T1^19*T2^20 + 3*T1^20*T2^20)/
     (T1^10*T2^10))}, 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, (1 - 5*T1 + 13*T1^2 - 24*T1^3 + 35*T1^4 - 39*T1^5 + 
     35*T1^6 - 24*T1^7 + 13*T1^8 - 5*T1^9 + T1^10 - 5*T2 + 20*T1*T2 - 
     40*T1^2*T2 + 55*T1^3*T2 - 55*T1^4*T2 + 20*T1^5*T2 + 20*T1^6*T2 - 
     55*T1^7*T2 + 55*T1^8*T2 - 40*T1^9*T2 + 20*T1^10*T2 - 5*T1^11*T2 + 
     13*T2^2 - 40*T1*T2^2 + 56*T1^2*T2^2 - 47*T1^3*T2^2 + 11*T1^4*T2^2 + 
     79*T1^5*T2^2 - 94*T1^6*T2^2 + 79*T1^7*T2^2 + 11*T1^8*T2^2 - 
     47*T1^9*T2^2 + 56*T1^10*T2^2 - 40*T1^11*T2^2 + 13*T1^12*T2^2 - 24*T2^3 + 
     55*T1*T2^3 - 47*T1^2*T2^3 + 12*T1^3*T2^3 + 34*T1^4*T2^3 - 
     139*T1^5*T2^3 + 25*T1^6*T2^3 + 25*T1^7*T2^3 - 139*T1^8*T2^3 + 
     34*T1^9*T2^3 + 12*T1^10*T2^3 - 47*T1^11*T2^3 + 55*T1^12*T2^3 - 
     24*T1^13*T2^3 + 35*T2^4 - 55*T1*T2^4 + 11*T1^2*T2^4 + 34*T1^3*T2^4 - 
     70*T1^4*T2^4 + 184*T1^5*T2^4 + 85*T1^6*T2^4 - 20*T1^7*T2^4 + 
     85*T1^8*T2^4 + 184*T1^9*T2^4 - 70*T1^10*T2^4 + 34*T1^11*T2^4 + 
     11*T1^12*T2^4 - 55*T1^13*T2^4 + 35*T1^14*T2^4 - 39*T2^5 + 20*T1*T2^5 + 
     79*T1^2*T2^5 - 139*T1^3*T2^5 + 184*T1^4*T2^5 - 298*T1^5*T2^5 - 
     160*T1^6*T2^5 - 84*T1^7*T2^5 - 84*T1^8*T2^5 - 160*T1^9*T2^5 - 
     298*T1^10*T2^5 + 184*T1^11*T2^5 - 139*T1^12*T2^5 + 79*T1^13*T2^5 + 
     20*T1^14*T2^5 - 39*T1^15*T2^5 + 35*T2^6 + 20*T1*T2^6 - 94*T1^2*T2^6 + 
     25*T1^3*T2^6 + 85*T1^4*T2^6 - 160*T1^5*T2^6 + 835*T1^6*T2^6 - 
     314*T1^7*T2^6 + 619*T1^8*T2^6 - 314*T1^9*T2^6 + 835*T1^10*T2^6 - 
     160*T1^11*T2^6 + 85*T1^12*T2^6 + 25*T1^13*T2^6 - 94*T1^14*T2^6 + 
     20*T1^15*T2^6 + 35*T1^16*T2^6 - 24*T2^7 - 55*T1*T2^7 + 79*T1^2*T2^7 + 
     25*T1^3*T2^7 - 20*T1^4*T2^7 - 84*T1^5*T2^7 - 314*T1^6*T2^7 - 
     616*T1^7*T2^7 - 69*T1^8*T2^7 - 69*T1^9*T2^7 - 616*T1^10*T2^7 - 
     314*T1^11*T2^7 - 84*T1^12*T2^7 - 20*T1^13*T2^7 + 25*T1^14*T2^7 + 
     79*T1^15*T2^7 - 55*T1^16*T2^7 - 24*T1^17*T2^7 + 13*T2^8 + 55*T1*T2^8 + 
     11*T1^2*T2^8 - 139*T1^3*T2^8 + 85*T1^4*T2^8 - 84*T1^5*T2^8 + 
     619*T1^6*T2^8 - 69*T1^7*T2^8 + 1536*T1^8*T2^8 - 1298*T1^9*T2^8 + 
     1536*T1^10*T2^8 - 69*T1^11*T2^8 + 619*T1^12*T2^8 - 84*T1^13*T2^8 + 
     85*T1^14*T2^8 - 139*T1^15*T2^8 + 11*T1^16*T2^8 + 55*T1^17*T2^8 + 
     13*T1^18*T2^8 - 5*T2^9 - 40*T1*T2^9 - 47*T1^2*T2^9 + 34*T1^3*T2^9 + 
     184*T1^4*T2^9 - 160*T1^5*T2^9 - 314*T1^6*T2^9 - 69*T1^7*T2^9 - 
     1298*T1^8*T2^9 + 134*T1^9*T2^9 + 134*T1^10*T2^9 - 1298*T1^11*T2^9 - 
     69*T1^12*T2^9 - 314*T1^13*T2^9 - 160*T1^14*T2^9 + 184*T1^15*T2^9 + 
     34*T1^16*T2^9 - 47*T1^17*T2^9 - 40*T1^18*T2^9 - 5*T1^19*T2^9 + T2^10 + 
     20*T1*T2^10 + 56*T1^2*T2^10 + 12*T1^3*T2^10 - 70*T1^4*T2^10 - 
     298*T1^5*T2^10 + 835*T1^6*T2^10 - 616*T1^7*T2^10 + 1536*T1^8*T2^10 + 
     134*T1^9*T2^10 + 84*T1^10*T2^10 + 134*T1^11*T2^10 + 1536*T1^12*T2^10 - 
     616*T1^13*T2^10 + 835*T1^14*T2^10 - 298*T1^15*T2^10 - 70*T1^16*T2^10 + 
     12*T1^17*T2^10 + 56*T1^18*T2^10 + 20*T1^19*T2^10 + T1^20*T2^10 - 
     5*T1*T2^11 - 40*T1^2*T2^11 - 47*T1^3*T2^11 + 34*T1^4*T2^11 + 
     184*T1^5*T2^11 - 160*T1^6*T2^11 - 314*T1^7*T2^11 - 69*T1^8*T2^11 - 
     1298*T1^9*T2^11 + 134*T1^10*T2^11 + 134*T1^11*T2^11 - 1298*T1^12*T2^11 - 
     69*T1^13*T2^11 - 314*T1^14*T2^11 - 160*T1^15*T2^11 + 184*T1^16*T2^11 + 
     34*T1^17*T2^11 - 47*T1^18*T2^11 - 40*T1^19*T2^11 - 5*T1^20*T2^11 + 
     13*T1^2*T2^12 + 55*T1^3*T2^12 + 11*T1^4*T2^12 - 139*T1^5*T2^12 + 
     85*T1^6*T2^12 - 84*T1^7*T2^12 + 619*T1^8*T2^12 - 69*T1^9*T2^12 + 
     1536*T1^10*T2^12 - 1298*T1^11*T2^12 + 1536*T1^12*T2^12 - 
     69*T1^13*T2^12 + 619*T1^14*T2^12 - 84*T1^15*T2^12 + 85*T1^16*T2^12 - 
     139*T1^17*T2^12 + 11*T1^18*T2^12 + 55*T1^19*T2^12 + 13*T1^20*T2^12 - 
     24*T1^3*T2^13 - 55*T1^4*T2^13 + 79*T1^5*T2^13 + 25*T1^6*T2^13 - 
     20*T1^7*T2^13 - 84*T1^8*T2^13 - 314*T1^9*T2^13 - 616*T1^10*T2^13 - 
     69*T1^11*T2^13 - 69*T1^12*T2^13 - 616*T1^13*T2^13 - 314*T1^14*T2^13 - 
     84*T1^15*T2^13 - 20*T1^16*T2^13 + 25*T1^17*T2^13 + 79*T1^18*T2^13 - 
     55*T1^19*T2^13 - 24*T1^20*T2^13 + 35*T1^4*T2^14 + 20*T1^5*T2^14 - 
     94*T1^6*T2^14 + 25*T1^7*T2^14 + 85*T1^8*T2^14 - 160*T1^9*T2^14 + 
     835*T1^10*T2^14 - 314*T1^11*T2^14 + 619*T1^12*T2^14 - 314*T1^13*T2^14 + 
     835*T1^14*T2^14 - 160*T1^15*T2^14 + 85*T1^16*T2^14 + 25*T1^17*T2^14 - 
     94*T1^18*T2^14 + 20*T1^19*T2^14 + 35*T1^20*T2^14 - 39*T1^5*T2^15 + 
     20*T1^6*T2^15 + 79*T1^7*T2^15 - 139*T1^8*T2^15 + 184*T1^9*T2^15 - 
     298*T1^10*T2^15 - 160*T1^11*T2^15 - 84*T1^12*T2^15 - 84*T1^13*T2^15 - 
     160*T1^14*T2^15 - 298*T1^15*T2^15 + 184*T1^16*T2^15 - 139*T1^17*T2^15 + 
     79*T1^18*T2^15 + 20*T1^19*T2^15 - 39*T1^20*T2^15 + 35*T1^6*T2^16 - 
     55*T1^7*T2^16 + 11*T1^8*T2^16 + 34*T1^9*T2^16 - 70*T1^10*T2^16 + 
     184*T1^11*T2^16 + 85*T1^12*T2^16 - 20*T1^13*T2^16 + 85*T1^14*T2^16 + 
     184*T1^15*T2^16 - 70*T1^16*T2^16 + 34*T1^17*T2^16 + 11*T1^18*T2^16 - 
     55*T1^19*T2^16 + 35*T1^20*T2^16 - 24*T1^7*T2^17 + 55*T1^8*T2^17 - 
     47*T1^9*T2^17 + 12*T1^10*T2^17 + 34*T1^11*T2^17 - 139*T1^12*T2^17 + 
     25*T1^13*T2^17 + 25*T1^14*T2^17 - 139*T1^15*T2^17 + 34*T1^16*T2^17 + 
     12*T1^17*T2^17 - 47*T1^18*T2^17 + 55*T1^19*T2^17 - 24*T1^20*T2^17 + 
     13*T1^8*T2^18 - 40*T1^9*T2^18 + 56*T1^10*T2^18 - 47*T1^11*T2^18 + 
     11*T1^12*T2^18 + 79*T1^13*T2^18 - 94*T1^14*T2^18 + 79*T1^15*T2^18 + 
     11*T1^16*T2^18 - 47*T1^17*T2^18 + 56*T1^18*T2^18 - 40*T1^19*T2^18 + 
     13*T1^20*T2^18 - 5*T1^9*T2^19 + 20*T1^10*T2^19 - 40*T1^11*T2^19 + 
     55*T1^12*T2^19 - 55*T1^13*T2^19 + 20*T1^14*T2^19 + 20*T1^15*T2^19 - 
     55*T1^16*T2^19 + 55*T1^17*T2^19 - 40*T1^18*T2^19 + 20*T1^19*T2^19 - 
     5*T1^20*T2^19 + T1^10*T2^20 - 5*T1^11*T2^20 + 13*T1^12*T2^20 - 
     24*T1^13*T2^20 + 35*T1^14*T2^20 - 39*T1^15*T2^20 + 35*T1^16*T2^20 - 
     24*T1^17*T2^20 + 13*T1^18*T2^20 - 5*T1^19*T2^20 + T1^20*T2^20)/
    (T1^10*T2^10)}, 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), (1 - 3*T1 + 4*T1^2 - 5*T1^3 + 5*T1^4 - 
     5*T1^5 + 4*T1^6 - 3*T1^7 + T1^8 - 3*T2 + 4*T1*T2 + 3*T1^2*T2 - 
     3*T1^3*T2 + 2*T1^4*T2 + 2*T1^5*T2 - 3*T1^6*T2 + 3*T1^7*T2 + 4*T1^8*T2 - 
     3*T1^9*T2 + 4*T2^2 + 3*T1*T2^2 - 16*T1^2*T2^2 - 8*T1^3*T2^2 + 
     22*T1^4*T2^2 - 26*T1^5*T2^2 + 22*T1^6*T2^2 - 8*T1^7*T2^2 - 
     16*T1^8*T2^2 + 3*T1^9*T2^2 + 4*T1^10*T2^2 - 5*T2^3 - 3*T1*T2^3 - 
     8*T1^2*T2^3 + 76*T1^3*T2^3 - 60*T1^4*T2^3 + 13*T1^5*T2^3 + 
     13*T1^6*T2^3 - 60*T1^7*T2^3 + 76*T1^8*T2^3 - 8*T1^9*T2^3 - 
     3*T1^10*T2^3 - 5*T1^11*T2^3 + 5*T2^4 + 2*T1*T2^4 + 22*T1^2*T2^4 - 
     60*T1^3*T2^4 - 83*T1^4*T2^4 + 176*T1^5*T2^4 - 151*T1^6*T2^4 + 
     176*T1^7*T2^4 - 83*T1^8*T2^4 - 60*T1^9*T2^4 + 22*T1^10*T2^4 + 
     2*T1^11*T2^4 + 5*T1^12*T2^4 - 5*T2^5 + 2*T1*T2^5 - 26*T1^2*T2^5 + 
     13*T1^3*T2^5 + 176*T1^4*T2^5 - 136*T1^5*T2^5 - 18*T1^6*T2^5 - 
     18*T1^7*T2^5 - 136*T1^8*T2^5 + 176*T1^9*T2^5 + 13*T1^10*T2^5 - 
     26*T1^11*T2^5 + 2*T1^12*T2^5 - 5*T1^13*T2^5 + 4*T2^6 - 3*T1*T2^6 + 
     22*T1^2*T2^6 + 13*T1^3*T2^6 - 151*T1^4*T2^6 - 18*T1^5*T2^6 + 
     106*T1^6*T2^6 + 70*T1^7*T2^6 + 106*T1^8*T2^6 - 18*T1^9*T2^6 - 
     151*T1^10*T2^6 + 13*T1^11*T2^6 + 22*T1^12*T2^6 - 3*T1^13*T2^6 + 
     4*T1^14*T2^6 - 3*T2^7 + 3*T1*T2^7 - 8*T1^2*T2^7 - 60*T1^3*T2^7 + 
     176*T1^4*T2^7 - 18*T1^5*T2^7 + 70*T1^6*T2^7 - 182*T1^7*T2^7 - 
     182*T1^8*T2^7 + 70*T1^9*T2^7 - 18*T1^10*T2^7 + 176*T1^11*T2^7 - 
     60*T1^12*T2^7 - 8*T1^13*T2^7 + 3*T1^14*T2^7 - 3*T1^15*T2^7 + T2^8 + 
     4*T1*T2^8 - 16*T1^2*T2^8 + 76*T1^3*T2^8 - 83*T1^4*T2^8 - 136*T1^5*T2^8 + 
     106*T1^6*T2^8 - 182*T1^7*T2^8 + 516*T1^8*T2^8 - 182*T1^9*T2^8 + 
     106*T1^10*T2^8 - 136*T1^11*T2^8 - 83*T1^12*T2^8 + 76*T1^13*T2^8 - 
     16*T1^14*T2^8 + 4*T1^15*T2^8 + T1^16*T2^8 - 3*T1*T2^9 + 3*T1^2*T2^9 - 
     8*T1^3*T2^9 - 60*T1^4*T2^9 + 176*T1^5*T2^9 - 18*T1^6*T2^9 + 
     70*T1^7*T2^9 - 182*T1^8*T2^9 - 182*T1^9*T2^9 + 70*T1^10*T2^9 - 
     18*T1^11*T2^9 + 176*T1^12*T2^9 - 60*T1^13*T2^9 - 8*T1^14*T2^9 + 
     3*T1^15*T2^9 - 3*T1^16*T2^9 + 4*T1^2*T2^10 - 3*T1^3*T2^10 + 
     22*T1^4*T2^10 + 13*T1^5*T2^10 - 151*T1^6*T2^10 - 18*T1^7*T2^10 + 
     106*T1^8*T2^10 + 70*T1^9*T2^10 + 106*T1^10*T2^10 - 18*T1^11*T2^10 - 
     151*T1^12*T2^10 + 13*T1^13*T2^10 + 22*T1^14*T2^10 - 3*T1^15*T2^10 + 
     4*T1^16*T2^10 - 5*T1^3*T2^11 + 2*T1^4*T2^11 - 26*T1^5*T2^11 + 
     13*T1^6*T2^11 + 176*T1^7*T2^11 - 136*T1^8*T2^11 - 18*T1^9*T2^11 - 
     18*T1^10*T2^11 - 136*T1^11*T2^11 + 176*T1^12*T2^11 + 13*T1^13*T2^11 - 
     26*T1^14*T2^11 + 2*T1^15*T2^11 - 5*T1^16*T2^11 + 5*T1^4*T2^12 + 
     2*T1^5*T2^12 + 22*T1^6*T2^12 - 60*T1^7*T2^12 - 83*T1^8*T2^12 + 
     176*T1^9*T2^12 - 151*T1^10*T2^12 + 176*T1^11*T2^12 - 83*T1^12*T2^12 - 
     60*T1^13*T2^12 + 22*T1^14*T2^12 + 2*T1^15*T2^12 + 5*T1^16*T2^12 - 
     5*T1^5*T2^13 - 3*T1^6*T2^13 - 8*T1^7*T2^13 + 76*T1^8*T2^13 - 
     60*T1^9*T2^13 + 13*T1^10*T2^13 + 13*T1^11*T2^13 - 60*T1^12*T2^13 + 
     76*T1^13*T2^13 - 8*T1^14*T2^13 - 3*T1^15*T2^13 - 5*T1^16*T2^13 + 
     4*T1^6*T2^14 + 3*T1^7*T2^14 - 16*T1^8*T2^14 - 8*T1^9*T2^14 + 
     22*T1^10*T2^14 - 26*T1^11*T2^14 + 22*T1^12*T2^14 - 8*T1^13*T2^14 - 
     16*T1^14*T2^14 + 3*T1^15*T2^14 + 4*T1^16*T2^14 - 3*T1^7*T2^15 + 
     4*T1^8*T2^15 + 3*T1^9*T2^15 - 3*T1^10*T2^15 + 2*T1^11*T2^15 + 
     2*T1^12*T2^15 - 3*T1^13*T2^15 + 3*T1^14*T2^15 + 4*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)/(T1^8*T2^8)}, 
 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), 
   -((2 - 8*T1 + 20*T1^2 - 36*T1^3 + 46*T1^4 - 50*T1^5 + 46*T1^6 - 36*T1^7 + 
      20*T1^8 - 8*T1^9 + 2*T1^10 - 8*T2 + 24*T1*T2 - 48*T1^2*T2 + 
      64*T1^3*T2 - 40*T1^4*T2 + 16*T1^5*T2 + 16*T1^6*T2 - 40*T1^7*T2 + 
      64*T1^8*T2 - 48*T1^9*T2 + 24*T1^10*T2 - 8*T1^11*T2 + 20*T2^2 - 
      48*T1*T2^2 + 90*T1^2*T2^2 - 112*T1^3*T2^2 + 64*T1^4*T2^2 - 
      90*T1^5*T2^2 + 82*T1^6*T2^2 - 90*T1^7*T2^2 + 64*T1^8*T2^2 - 
      112*T1^9*T2^2 + 90*T1^10*T2^2 - 48*T1^11*T2^2 + 20*T1^12*T2^2 - 
      36*T2^3 + 64*T1*T2^3 - 112*T1^2*T2^3 + 108*T1^3*T2^3 + 2*T1^4*T2^3 + 
      87*T1^5*T2^3 - 5*T1^6*T2^3 - 5*T1^7*T2^3 + 87*T1^8*T2^3 + 2*T1^9*T2^3 + 
      108*T1^10*T2^3 - 112*T1^11*T2^3 + 64*T1^12*T2^3 - 36*T1^13*T2^3 + 
      46*T2^4 - 40*T1*T2^4 + 64*T1^2*T2^4 + 2*T1^3*T2^4 - 136*T1^4*T2^4 - 
      111*T1^5*T2^4 - 81*T1^6*T2^4 + 4*T1^7*T2^4 - 81*T1^8*T2^4 - 
      111*T1^9*T2^4 - 136*T1^10*T2^4 + 2*T1^11*T2^4 + 64*T1^12*T2^4 - 
      40*T1^13*T2^4 + 46*T1^14*T2^4 - 50*T2^5 + 16*T1*T2^5 - 90*T1^2*T2^5 + 
      87*T1^3*T2^5 - 111*T1^4*T2^5 + 518*T1^5*T2^5 - 17*T1^6*T2^5 + 
      130*T1^7*T2^5 + 130*T1^8*T2^5 - 17*T1^9*T2^5 + 518*T1^10*T2^5 - 
      111*T1^11*T2^5 + 87*T1^12*T2^5 - 90*T1^13*T2^5 + 16*T1^14*T2^5 - 
      50*T1^15*T2^5 + 46*T2^6 + 16*T1*T2^6 + 82*T1^2*T2^6 - 5*T1^3*T2^6 - 
      81*T1^4*T2^6 - 17*T1^5*T2^6 - 1016*T1^6*T2^6 + 735*T1^7*T2^6 - 
      1064*T1^8*T2^6 + 735*T1^9*T2^6 - 1016*T1^10*T2^6 - 17*T1^11*T2^6 - 
      81*T1^12*T2^6 - 5*T1^13*T2^6 + 82*T1^14*T2^6 + 16*T1^15*T2^6 + 
      46*T1^16*T2^6 - 36*T2^7 - 40*T1*T2^7 - 90*T1^2*T2^7 - 5*T1^3*T2^7 + 
      4*T1^4*T2^7 + 130*T1^5*T2^7 + 735*T1^6*T2^7 + 154*T1^7*T2^7 + 
      217*T1^8*T2^7 + 217*T1^9*T2^7 + 154*T1^10*T2^7 + 735*T1^11*T2^7 + 
      130*T1^12*T2^7 + 4*T1^13*T2^7 - 5*T1^14*T2^7 - 90*T1^15*T2^7 - 
      40*T1^16*T2^7 - 36*T1^17*T2^7 + 20*T2^8 + 64*T1*T2^8 + 64*T1^2*T2^8 + 
      87*T1^3*T2^8 - 81*T1^4*T2^8 + 130*T1^5*T2^8 - 1064*T1^6*T2^8 + 
      217*T1^7*T2^8 - 1111*T1^8*T2^8 + 709*T1^9*T2^8 - 1111*T1^10*T2^8 + 
      217*T1^11*T2^8 - 1064*T1^12*T2^8 + 130*T1^13*T2^8 - 81*T1^14*T2^8 + 
      87*T1^15*T2^8 + 64*T1^16*T2^8 + 64*T1^17*T2^8 + 20*T1^18*T2^8 - 
      8*T2^9 - 48*T1*T2^9 - 112*T1^2*T2^9 + 2*T1^3*T2^9 - 111*T1^4*T2^9 - 
      17*T1^5*T2^9 + 735*T1^6*T2^9 + 217*T1^7*T2^9 + 709*T1^8*T2^9 + 
      116*T1^9*T2^9 + 116*T1^10*T2^9 + 709*T1^11*T2^9 + 217*T1^12*T2^9 + 
      735*T1^13*T2^9 - 17*T1^14*T2^9 - 111*T1^15*T2^9 + 2*T1^16*T2^9 - 
      112*T1^17*T2^9 - 48*T1^18*T2^9 - 8*T1^19*T2^9 + 2*T2^10 + 24*T1*T2^10 + 
      90*T1^2*T2^10 + 108*T1^3*T2^10 - 136*T1^4*T2^10 + 518*T1^5*T2^10 - 
      1016*T1^6*T2^10 + 154*T1^7*T2^10 - 1111*T1^8*T2^10 + 116*T1^9*T2^10 - 
      576*T1^10*T2^10 + 116*T1^11*T2^10 - 1111*T1^12*T2^10 + 
      154*T1^13*T2^10 - 1016*T1^14*T2^10 + 518*T1^15*T2^10 - 
      136*T1^16*T2^10 + 108*T1^17*T2^10 + 90*T1^18*T2^10 + 24*T1^19*T2^10 + 
      2*T1^20*T2^10 - 8*T1*T2^11 - 48*T1^2*T2^11 - 112*T1^3*T2^11 + 
      2*T1^4*T2^11 - 111*T1^5*T2^11 - 17*T1^6*T2^11 + 735*T1^7*T2^11 + 
      217*T1^8*T2^11 + 709*T1^9*T2^11 + 116*T1^10*T2^11 + 116*T1^11*T2^11 + 
      709*T1^12*T2^11 + 217*T1^13*T2^11 + 735*T1^14*T2^11 - 17*T1^15*T2^11 - 
      111*T1^16*T2^11 + 2*T1^17*T2^11 - 112*T1^18*T2^11 - 48*T1^19*T2^11 - 
      8*T1^20*T2^11 + 20*T1^2*T2^12 + 64*T1^3*T2^12 + 64*T1^4*T2^12 + 
      87*T1^5*T2^12 - 81*T1^6*T2^12 + 130*T1^7*T2^12 - 1064*T1^8*T2^12 + 
      217*T1^9*T2^12 - 1111*T1^10*T2^12 + 709*T1^11*T2^12 - 
      1111*T1^12*T2^12 + 217*T1^13*T2^12 - 1064*T1^14*T2^12 + 
      130*T1^15*T2^12 - 81*T1^16*T2^12 + 87*T1^17*T2^12 + 64*T1^18*T2^12 + 
      64*T1^19*T2^12 + 20*T1^20*T2^12 - 36*T1^3*T2^13 - 40*T1^4*T2^13 - 
      90*T1^5*T2^13 - 5*T1^6*T2^13 + 4*T1^7*T2^13 + 130*T1^8*T2^13 + 
      735*T1^9*T2^13 + 154*T1^10*T2^13 + 217*T1^11*T2^13 + 217*T1^12*T2^13 + 
      154*T1^13*T2^13 + 735*T1^14*T2^13 + 130*T1^15*T2^13 + 4*T1^16*T2^13 - 
      5*T1^17*T2^13 - 90*T1^18*T2^13 - 40*T1^19*T2^13 - 36*T1^20*T2^13 + 
      46*T1^4*T2^14 + 16*T1^5*T2^14 + 82*T1^6*T2^14 - 5*T1^7*T2^14 - 
      81*T1^8*T2^14 - 17*T1^9*T2^14 - 1016*T1^10*T2^14 + 735*T1^11*T2^14 - 
      1064*T1^12*T2^14 + 735*T1^13*T2^14 - 1016*T1^14*T2^14 - 
      17*T1^15*T2^14 - 81*T1^16*T2^14 - 5*T1^17*T2^14 + 82*T1^18*T2^14 + 
      16*T1^19*T2^14 + 46*T1^20*T2^14 - 50*T1^5*T2^15 + 16*T1^6*T2^15 - 
      90*T1^7*T2^15 + 87*T1^8*T2^15 - 111*T1^9*T2^15 + 518*T1^10*T2^15 - 
      17*T1^11*T2^15 + 130*T1^12*T2^15 + 130*T1^13*T2^15 - 17*T1^14*T2^15 + 
      518*T1^15*T2^15 - 111*T1^16*T2^15 + 87*T1^17*T2^15 - 90*T1^18*T2^15 + 
      16*T1^19*T2^15 - 50*T1^20*T2^15 + 46*T1^6*T2^16 - 40*T1^7*T2^16 + 
      64*T1^8*T2^16 + 2*T1^9*T2^16 - 136*T1^10*T2^16 - 111*T1^11*T2^16 - 
      81*T1^12*T2^16 + 4*T1^13*T2^16 - 81*T1^14*T2^16 - 111*T1^15*T2^16 - 
      136*T1^16*T2^16 + 2*T1^17*T2^16 + 64*T1^18*T2^16 - 40*T1^19*T2^16 + 
      46*T1^20*T2^16 - 36*T1^7*T2^17 + 64*T1^8*T2^17 - 112*T1^9*T2^17 + 
      108*T1^10*T2^17 + 2*T1^11*T2^17 + 87*T1^12*T2^17 - 5*T1^13*T2^17 - 
      5*T1^14*T2^17 + 87*T1^15*T2^17 + 2*T1^16*T2^17 + 108*T1^17*T2^17 - 
      112*T1^18*T2^17 + 64*T1^19*T2^17 - 36*T1^20*T2^17 + 20*T1^8*T2^18 - 
      48*T1^9*T2^18 + 90*T1^10*T2^18 - 112*T1^11*T2^18 + 64*T1^12*T2^18 - 
      90*T1^13*T2^18 + 82*T1^14*T2^18 - 90*T1^15*T2^18 + 64*T1^16*T2^18 - 
      112*T1^17*T2^18 + 90*T1^18*T2^18 - 48*T1^19*T2^18 + 20*T1^20*T2^18 - 
      8*T1^9*T2^19 + 24*T1^10*T2^19 - 48*T1^11*T2^19 + 64*T1^12*T2^19 - 
      40*T1^13*T2^19 + 16*T1^14*T2^19 + 16*T1^15*T2^19 - 40*T1^16*T2^19 + 
      64*T1^17*T2^19 - 48*T1^18*T2^19 + 24*T1^19*T2^19 - 8*T1^20*T2^19 + 
      2*T1^10*T2^20 - 8*T1^11*T2^20 + 20*T1^12*T2^20 - 36*T1^13*T2^20 + 
      46*T1^14*T2^20 - 50*T1^15*T2^20 + 46*T1^16*T2^20 - 36*T1^17*T2^20 + 
      20*T1^18*T2^20 - 8*T1^19*T2^20 + 2*T1^20*T2^20)/(T1^10*T2^10))}, 
 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), -((9 - 36*T1 + 81*T1^2 - 130*T1^3 + 147*T1^4 - 130*T1^5 + 
      81*T1^6 - 36*T1^7 + 9*T1^8 - 36*T2 + 108*T1*T2 - 180*T1^2*T2 + 
      196*T1^3*T2 - 68*T1^4*T2 - 68*T1^5*T2 + 196*T1^6*T2 - 180*T1^7*T2 + 
      108*T1^8*T2 - 36*T1^9*T2 + 81*T2^2 - 180*T1*T2^2 + 226*T1^2*T2^2 - 
      170*T1^3*T2^2 - 88*T1^4*T2^2 + 96*T1^5*T2^2 - 88*T1^6*T2^2 - 
      170*T1^7*T2^2 + 226*T1^8*T2^2 - 180*T1^9*T2^2 + 81*T1^10*T2^2 - 
      130*T2^3 + 196*T1*T2^3 - 170*T1^2*T2^3 + 54*T1^3*T2^3 + 281*T1^4*T2^3 + 
      7*T1^5*T2^3 + 7*T1^6*T2^3 + 281*T1^7*T2^3 + 54*T1^8*T2^3 - 
      170*T1^9*T2^3 + 196*T1^10*T2^3 - 130*T1^11*T2^3 + 147*T2^4 - 
      68*T1*T2^4 - 88*T1^2*T2^4 + 281*T1^3*T2^4 - 625*T1^4*T2^4 - 
      49*T1^5*T2^4 - 225*T1^6*T2^4 - 49*T1^7*T2^4 - 625*T1^8*T2^4 + 
      281*T1^9*T2^4 - 88*T1^10*T2^4 - 68*T1^11*T2^4 + 147*T1^12*T2^4 - 
      130*T2^5 - 68*T1*T2^5 + 96*T1^2*T2^5 + 7*T1^3*T2^5 - 49*T1^4*T2^5 + 
      1020*T1^5*T2^5 + 10*T1^6*T2^5 + 10*T1^7*T2^5 + 1020*T1^8*T2^5 - 
      49*T1^9*T2^5 + 7*T1^10*T2^5 + 96*T1^11*T2^5 - 68*T1^12*T2^5 - 
      130*T1^13*T2^5 + 81*T2^6 + 196*T1*T2^6 - 88*T1^2*T2^6 + 7*T1^3*T2^6 - 
      225*T1^4*T2^6 + 10*T1^5*T2^6 - 2107*T1^6*T2^6 + 1717*T1^7*T2^6 - 
      2107*T1^8*T2^6 + 10*T1^9*T2^6 - 225*T1^10*T2^6 + 7*T1^11*T2^6 - 
      88*T1^12*T2^6 + 196*T1^13*T2^6 + 81*T1^14*T2^6 - 36*T2^7 - 
      180*T1*T2^7 - 170*T1^2*T2^7 + 281*T1^3*T2^7 - 49*T1^4*T2^7 + 
      10*T1^5*T2^7 + 1717*T1^6*T2^7 - 22*T1^7*T2^7 - 22*T1^8*T2^7 + 
      1717*T1^9*T2^7 + 10*T1^10*T2^7 - 49*T1^11*T2^7 + 281*T1^12*T2^7 - 
      170*T1^13*T2^7 - 180*T1^14*T2^7 - 36*T1^15*T2^7 + 9*T2^8 + 
      108*T1*T2^8 + 226*T1^2*T2^8 + 54*T1^3*T2^8 - 625*T1^4*T2^8 + 
      1020*T1^5*T2^8 - 2107*T1^6*T2^8 - 22*T1^7*T2^8 - 636*T1^8*T2^8 - 
      22*T1^9*T2^8 - 2107*T1^10*T2^8 + 1020*T1^11*T2^8 - 625*T1^12*T2^8 + 
      54*T1^13*T2^8 + 226*T1^14*T2^8 + 108*T1^15*T2^8 + 9*T1^16*T2^8 - 
      36*T1*T2^9 - 180*T1^2*T2^9 - 170*T1^3*T2^9 + 281*T1^4*T2^9 - 
      49*T1^5*T2^9 + 10*T1^6*T2^9 + 1717*T1^7*T2^9 - 22*T1^8*T2^9 - 
      22*T1^9*T2^9 + 1717*T1^10*T2^9 + 10*T1^11*T2^9 - 49*T1^12*T2^9 + 
      281*T1^13*T2^9 - 170*T1^14*T2^9 - 180*T1^15*T2^9 - 36*T1^16*T2^9 + 
      81*T1^2*T2^10 + 196*T1^3*T2^10 - 88*T1^4*T2^10 + 7*T1^5*T2^10 - 
      225*T1^6*T2^10 + 10*T1^7*T2^10 - 2107*T1^8*T2^10 + 1717*T1^9*T2^10 - 
      2107*T1^10*T2^10 + 10*T1^11*T2^10 - 225*T1^12*T2^10 + 7*T1^13*T2^10 - 
      88*T1^14*T2^10 + 196*T1^15*T2^10 + 81*T1^16*T2^10 - 130*T1^3*T2^11 - 
      68*T1^4*T2^11 + 96*T1^5*T2^11 + 7*T1^6*T2^11 - 49*T1^7*T2^11 + 
      1020*T1^8*T2^11 + 10*T1^9*T2^11 + 10*T1^10*T2^11 + 1020*T1^11*T2^11 - 
      49*T1^12*T2^11 + 7*T1^13*T2^11 + 96*T1^14*T2^11 - 68*T1^15*T2^11 - 
      130*T1^16*T2^11 + 147*T1^4*T2^12 - 68*T1^5*T2^12 - 88*T1^6*T2^12 + 
      281*T1^7*T2^12 - 625*T1^8*T2^12 - 49*T1^9*T2^12 - 225*T1^10*T2^12 - 
      49*T1^11*T2^12 - 625*T1^12*T2^12 + 281*T1^13*T2^12 - 88*T1^14*T2^12 - 
      68*T1^15*T2^12 + 147*T1^16*T2^12 - 130*T1^5*T2^13 + 196*T1^6*T2^13 - 
      170*T1^7*T2^13 + 54*T1^8*T2^13 + 281*T1^9*T2^13 + 7*T1^10*T2^13 + 
      7*T1^11*T2^13 + 281*T1^12*T2^13 + 54*T1^13*T2^13 - 170*T1^14*T2^13 + 
      196*T1^15*T2^13 - 130*T1^16*T2^13 + 81*T1^6*T2^14 - 180*T1^7*T2^14 + 
      226*T1^8*T2^14 - 170*T1^9*T2^14 - 88*T1^10*T2^14 + 96*T1^11*T2^14 - 
      88*T1^12*T2^14 - 170*T1^13*T2^14 + 226*T1^14*T2^14 - 180*T1^15*T2^14 + 
      81*T1^16*T2^14 - 36*T1^7*T2^15 + 108*T1^8*T2^15 - 180*T1^9*T2^15 + 
      196*T1^10*T2^15 - 68*T1^11*T2^15 - 68*T1^12*T2^15 + 196*T1^13*T2^15 - 
      180*T1^14*T2^15 + 108*T1^15*T2^15 - 36*T1^16*T2^15 + 9*T1^8*T2^16 - 
      36*T1^9*T2^16 + 81*T1^10*T2^16 - 130*T1^11*T2^16 + 147*T1^12*T2^16 - 
      130*T1^13*T2^16 + 81*T1^14*T2^16 - 36*T1^15*T2^16 + 9*T1^16*T2^16)/
     (T1^8*T2^8))}, 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), 
   0}, 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, -((1 - 4*T1 + 10*T1^2 - 18*T1^3 + 26*T1^4 - 29*T1^5 + 
      26*T1^6 - 18*T1^7 + 10*T1^8 - 4*T1^9 + T1^10 - 4*T2 + 12*T1*T2 - 
      24*T1^2*T2 + 32*T1^3*T2 - 32*T1^4*T2 + 12*T1^5*T2 + 12*T1^6*T2 - 
      32*T1^7*T2 + 32*T1^8*T2 - 24*T1^9*T2 + 12*T1^10*T2 - 4*T1^11*T2 + 
      10*T2^2 - 24*T1*T2^2 + 44*T1^2*T2^2 - 54*T1^3*T2^2 + 59*T1^4*T2^2 - 
      31*T1^5*T2^2 + 26*T1^6*T2^2 - 31*T1^7*T2^2 + 59*T1^8*T2^2 - 
      54*T1^9*T2^2 + 44*T1^10*T2^2 - 24*T1^11*T2^2 + 10*T1^12*T2^2 - 
      18*T2^3 + 32*T1*T2^3 - 54*T1^2*T2^3 + 54*T1^3*T2^3 - 55*T1^4*T2^3 - 
      10*T1^5*T2^3 - T1^6*T2^3 - T1^7*T2^3 - 10*T1^8*T2^3 - 55*T1^9*T2^3 + 
      54*T1^10*T2^3 - 54*T1^11*T2^3 + 32*T1^12*T2^3 - 18*T1^13*T2^3 + 
      26*T2^4 - 32*T1*T2^4 + 59*T1^2*T2^4 - 55*T1^3*T2^4 + 75*T1^4*T2^4 + 
      11*T1^5*T2^4 + 83*T1^6*T2^4 - 81*T1^7*T2^4 + 83*T1^8*T2^4 + 
      11*T1^9*T2^4 + 75*T1^10*T2^4 - 55*T1^11*T2^4 + 59*T1^12*T2^4 - 
      32*T1^13*T2^4 + 26*T1^14*T2^4 - 29*T2^5 + 12*T1*T2^5 - 31*T1^2*T2^5 - 
      10*T1^3*T2^5 + 11*T1^4*T2^5 - 152*T1^5*T2^5 - 46*T1^6*T2^5 - 
      7*T1^7*T2^5 - 7*T1^8*T2^5 - 46*T1^9*T2^5 - 152*T1^10*T2^5 + 
      11*T1^11*T2^5 - 10*T1^12*T2^5 - 31*T1^13*T2^5 + 12*T1^14*T2^5 - 
      29*T1^15*T2^5 + 26*T2^6 + 12*T1*T2^6 + 26*T1^2*T2^6 - T1^3*T2^6 + 
      83*T1^4*T2^6 - 46*T1^5*T2^6 + 459*T1^6*T2^6 - 315*T1^7*T2^6 + 
      357*T1^8*T2^6 - 315*T1^9*T2^6 + 459*T1^10*T2^6 - 46*T1^11*T2^6 + 
      83*T1^12*T2^6 - T1^13*T2^6 + 26*T1^14*T2^6 + 12*T1^15*T2^6 + 
      26*T1^16*T2^6 - 18*T2^7 - 32*T1*T2^7 - 31*T1^2*T2^7 - T1^3*T2^7 - 
      81*T1^4*T2^7 - 7*T1^5*T2^7 - 315*T1^6*T2^7 - 148*T1^7*T2^7 + 
      22*T1^8*T2^7 + 22*T1^9*T2^7 - 148*T1^10*T2^7 - 315*T1^11*T2^7 - 
      7*T1^12*T2^7 - 81*T1^13*T2^7 - T1^14*T2^7 - 31*T1^15*T2^7 - 
      32*T1^16*T2^7 - 18*T1^17*T2^7 + 10*T2^8 + 32*T1*T2^8 + 59*T1^2*T2^8 - 
      10*T1^3*T2^8 + 83*T1^4*T2^8 - 7*T1^5*T2^8 + 357*T1^6*T2^8 + 
      22*T1^7*T2^8 + 567*T1^8*T2^8 - 667*T1^9*T2^8 + 567*T1^10*T2^8 + 
      22*T1^11*T2^8 + 357*T1^12*T2^8 - 7*T1^13*T2^8 + 83*T1^14*T2^8 - 
      10*T1^15*T2^8 + 59*T1^16*T2^8 + 32*T1^17*T2^8 + 10*T1^18*T2^8 - 
      4*T2^9 - 24*T1*T2^9 - 54*T1^2*T2^9 - 55*T1^3*T2^9 + 11*T1^4*T2^9 - 
      46*T1^5*T2^9 - 315*T1^6*T2^9 + 22*T1^7*T2^9 - 667*T1^8*T2^9 + 
      238*T1^9*T2^9 + 238*T1^10*T2^9 - 667*T1^11*T2^9 + 22*T1^12*T2^9 - 
      315*T1^13*T2^9 - 46*T1^14*T2^9 + 11*T1^15*T2^9 - 55*T1^16*T2^9 - 
      54*T1^17*T2^9 - 24*T1^18*T2^9 - 4*T1^19*T2^9 + T2^10 + 12*T1*T2^10 + 
      44*T1^2*T2^10 + 54*T1^3*T2^10 + 75*T1^4*T2^10 - 152*T1^5*T2^10 + 
      459*T1^6*T2^10 - 148*T1^7*T2^10 + 567*T1^8*T2^10 + 238*T1^9*T2^10 - 
      432*T1^10*T2^10 + 238*T1^11*T2^10 + 567*T1^12*T2^10 - 148*T1^13*T2^10 + 
      459*T1^14*T2^10 - 152*T1^15*T2^10 + 75*T1^16*T2^10 + 54*T1^17*T2^10 + 
      44*T1^18*T2^10 + 12*T1^19*T2^10 + T1^20*T2^10 - 4*T1*T2^11 - 
      24*T1^2*T2^11 - 54*T1^3*T2^11 - 55*T1^4*T2^11 + 11*T1^5*T2^11 - 
      46*T1^6*T2^11 - 315*T1^7*T2^11 + 22*T1^8*T2^11 - 667*T1^9*T2^11 + 
      238*T1^10*T2^11 + 238*T1^11*T2^11 - 667*T1^12*T2^11 + 22*T1^13*T2^11 - 
      315*T1^14*T2^11 - 46*T1^15*T2^11 + 11*T1^16*T2^11 - 55*T1^17*T2^11 - 
      54*T1^18*T2^11 - 24*T1^19*T2^11 - 4*T1^20*T2^11 + 10*T1^2*T2^12 + 
      32*T1^3*T2^12 + 59*T1^4*T2^12 - 10*T1^5*T2^12 + 83*T1^6*T2^12 - 
      7*T1^7*T2^12 + 357*T1^8*T2^12 + 22*T1^9*T2^12 + 567*T1^10*T2^12 - 
      667*T1^11*T2^12 + 567*T1^12*T2^12 + 22*T1^13*T2^12 + 357*T1^14*T2^12 - 
      7*T1^15*T2^12 + 83*T1^16*T2^12 - 10*T1^17*T2^12 + 59*T1^18*T2^12 + 
      32*T1^19*T2^12 + 10*T1^20*T2^12 - 18*T1^3*T2^13 - 32*T1^4*T2^13 - 
      31*T1^5*T2^13 - T1^6*T2^13 - 81*T1^7*T2^13 - 7*T1^8*T2^13 - 
      315*T1^9*T2^13 - 148*T1^10*T2^13 + 22*T1^11*T2^13 + 22*T1^12*T2^13 - 
      148*T1^13*T2^13 - 315*T1^14*T2^13 - 7*T1^15*T2^13 - 81*T1^16*T2^13 - 
      T1^17*T2^13 - 31*T1^18*T2^13 - 32*T1^19*T2^13 - 18*T1^20*T2^13 + 
      26*T1^4*T2^14 + 12*T1^5*T2^14 + 26*T1^6*T2^14 - T1^7*T2^14 + 
      83*T1^8*T2^14 - 46*T1^9*T2^14 + 459*T1^10*T2^14 - 315*T1^11*T2^14 + 
      357*T1^12*T2^14 - 315*T1^13*T2^14 + 459*T1^14*T2^14 - 46*T1^15*T2^14 + 
      83*T1^16*T2^14 - T1^17*T2^14 + 26*T1^18*T2^14 + 12*T1^19*T2^14 + 
      26*T1^20*T2^14 - 29*T1^5*T2^15 + 12*T1^6*T2^15 - 31*T1^7*T2^15 - 
      10*T1^8*T2^15 + 11*T1^9*T2^15 - 152*T1^10*T2^15 - 46*T1^11*T2^15 - 
      7*T1^12*T2^15 - 7*T1^13*T2^15 - 46*T1^14*T2^15 - 152*T1^15*T2^15 + 
      11*T1^16*T2^15 - 10*T1^17*T2^15 - 31*T1^18*T2^15 + 12*T1^19*T2^15 - 
      29*T1^20*T2^15 + 26*T1^6*T2^16 - 32*T1^7*T2^16 + 59*T1^8*T2^16 - 
      55*T1^9*T2^16 + 75*T1^10*T2^16 + 11*T1^11*T2^16 + 83*T1^12*T2^16 - 
      81*T1^13*T2^16 + 83*T1^14*T2^16 + 11*T1^15*T2^16 + 75*T1^16*T2^16 - 
      55*T1^17*T2^16 + 59*T1^18*T2^16 - 32*T1^19*T2^16 + 26*T1^20*T2^16 - 
      18*T1^7*T2^17 + 32*T1^8*T2^17 - 54*T1^9*T2^17 + 54*T1^10*T2^17 - 
      55*T1^11*T2^17 - 10*T1^12*T2^17 - T1^13*T2^17 - T1^14*T2^17 - 
      10*T1^15*T2^17 - 55*T1^16*T2^17 + 54*T1^17*T2^17 - 54*T1^18*T2^17 + 
      32*T1^19*T2^17 - 18*T1^20*T2^17 + 10*T1^8*T2^18 - 24*T1^9*T2^18 + 
      44*T1^10*T2^18 - 54*T1^11*T2^18 + 59*T1^12*T2^18 - 31*T1^13*T2^18 + 
      26*T1^14*T2^18 - 31*T1^15*T2^18 + 59*T1^16*T2^18 - 54*T1^17*T2^18 + 
      44*T1^18*T2^18 - 24*T1^19*T2^18 + 10*T1^20*T2^18 - 4*T1^9*T2^19 + 
      12*T1^10*T2^19 - 24*T1^11*T2^19 + 32*T1^12*T2^19 - 32*T1^13*T2^19 + 
      12*T1^14*T2^19 + 12*T1^15*T2^19 - 32*T1^16*T2^19 + 32*T1^17*T2^19 - 
      24*T1^18*T2^19 + 12*T1^19*T2^19 - 4*T1^20*T2^19 + T1^10*T2^20 - 
      4*T1^11*T2^20 + 10*T1^12*T2^20 - 18*T1^13*T2^20 + 26*T1^14*T2^20 - 
      29*T1^15*T2^20 + 26*T1^16*T2^20 - 18*T1^17*T2^20 + 10*T1^18*T2^20 - 
      4*T1^19*T2^20 + T1^20*T2^20)/(T1^10*T2^10))}, 
 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, -((1 - 5*T1 + 13*T1^2 - 24*T1^3 + 34*T1^4 - 37*T1^5 + 
      34*T1^6 - 24*T1^7 + 13*T1^8 - 5*T1^9 + T1^10 - 5*T2 + 20*T1*T2 - 
      40*T1^2*T2 + 55*T1^3*T2 - 50*T1^4*T2 + 15*T1^5*T2 + 15*T1^6*T2 - 
      50*T1^7*T2 + 55*T1^8*T2 - 40*T1^9*T2 + 20*T1^10*T2 - 5*T1^11*T2 + 
      13*T2^2 - 40*T1*T2^2 + 56*T1^2*T2^2 - 47*T1^3*T2^2 - 2*T1^4*T2^2 + 
      81*T1^5*T2^2 - 72*T1^6*T2^2 + 81*T1^7*T2^2 - 2*T1^8*T2^2 - 
      47*T1^9*T2^2 + 56*T1^10*T2^2 - 40*T1^11*T2^2 + 13*T1^12*T2^2 - 
      24*T2^3 + 55*T1*T2^3 - 47*T1^2*T2^3 + 12*T1^3*T2^3 + 58*T1^4*T2^3 - 
      126*T1^5*T2^3 - 12*T1^6*T2^3 - 12*T1^7*T2^3 - 126*T1^8*T2^3 + 
      58*T1^9*T2^3 + 12*T1^10*T2^3 - 47*T1^11*T2^3 + 55*T1^12*T2^3 - 
      24*T1^13*T2^3 + 34*T2^4 - 50*T1*T2^4 - 2*T1^2*T2^4 + 58*T1^3*T2^4 - 
      141*T1^4*T2^4 + 188*T1^5*T2^4 + 64*T1^6*T2^4 + 125*T1^7*T2^4 + 
      64*T1^8*T2^4 + 188*T1^9*T2^4 - 141*T1^10*T2^4 + 58*T1^11*T2^4 - 
      2*T1^12*T2^4 - 50*T1^13*T2^4 + 34*T1^14*T2^4 - 37*T2^5 + 15*T1*T2^5 + 
      81*T1^2*T2^5 - 126*T1^3*T2^5 + 188*T1^4*T2^5 - 164*T1^5*T2^5 - 
      194*T1^6*T2^5 - 196*T1^7*T2^5 - 196*T1^8*T2^5 - 194*T1^9*T2^5 - 
      164*T1^10*T2^5 + 188*T1^11*T2^5 - 126*T1^12*T2^5 + 81*T1^13*T2^5 + 
      15*T1^14*T2^5 - 37*T1^15*T2^5 + 34*T2^6 + 15*T1*T2^6 - 72*T1^2*T2^6 - 
      12*T1^3*T2^6 + 64*T1^4*T2^6 - 194*T1^5*T2^6 + 535*T1^6*T2^6 + 
      92*T1^7*T2^6 + 529*T1^8*T2^6 + 92*T1^9*T2^6 + 535*T1^10*T2^6 - 
      194*T1^11*T2^6 + 64*T1^12*T2^6 - 12*T1^13*T2^6 - 72*T1^14*T2^6 + 
      15*T1^15*T2^6 + 34*T1^16*T2^6 - 24*T2^7 - 50*T1*T2^7 + 81*T1^2*T2^7 - 
      12*T1^3*T2^7 + 125*T1^4*T2^7 - 196*T1^5*T2^7 + 92*T1^6*T2^7 - 
      762*T1^7*T2^7 - 296*T1^8*T2^7 - 296*T1^9*T2^7 - 762*T1^10*T2^7 + 
      92*T1^11*T2^7 - 196*T1^12*T2^7 + 125*T1^13*T2^7 - 12*T1^14*T2^7 + 
      81*T1^15*T2^7 - 50*T1^16*T2^7 - 24*T1^17*T2^7 + 13*T2^8 + 55*T1*T2^8 - 
      2*T1^2*T2^8 - 126*T1^3*T2^8 + 64*T1^4*T2^8 - 196*T1^5*T2^8 + 
      529*T1^6*T2^8 - 296*T1^7*T2^8 + 1722*T1^8*T2^8 - 898*T1^9*T2^8 + 
      1722*T1^10*T2^8 - 296*T1^11*T2^8 + 529*T1^12*T2^8 - 196*T1^13*T2^8 + 
      64*T1^14*T2^8 - 126*T1^15*T2^8 - 2*T1^16*T2^8 + 55*T1^17*T2^8 + 
      13*T1^18*T2^8 - 5*T2^9 - 40*T1*T2^9 - 47*T1^2*T2^9 + 58*T1^3*T2^9 + 
      188*T1^4*T2^9 - 194*T1^5*T2^9 + 92*T1^6*T2^9 - 296*T1^7*T2^9 - 
      898*T1^8*T2^9 - 350*T1^9*T2^9 - 350*T1^10*T2^9 - 898*T1^11*T2^9 - 
      296*T1^12*T2^9 + 92*T1^13*T2^9 - 194*T1^14*T2^9 + 188*T1^15*T2^9 + 
      58*T1^16*T2^9 - 47*T1^17*T2^9 - 40*T1^18*T2^9 - 5*T1^19*T2^9 + T2^10 + 
      20*T1*T2^10 + 56*T1^2*T2^10 + 12*T1^3*T2^10 - 141*T1^4*T2^10 - 
      164*T1^5*T2^10 + 535*T1^6*T2^10 - 762*T1^7*T2^10 + 1722*T1^8*T2^10 - 
      350*T1^9*T2^10 + 1248*T1^10*T2^10 - 350*T1^11*T2^10 + 
      1722*T1^12*T2^10 - 762*T1^13*T2^10 + 535*T1^14*T2^10 - 
      164*T1^15*T2^10 - 141*T1^16*T2^10 + 12*T1^17*T2^10 + 56*T1^18*T2^10 + 
      20*T1^19*T2^10 + T1^20*T2^10 - 5*T1*T2^11 - 40*T1^2*T2^11 - 
      47*T1^3*T2^11 + 58*T1^4*T2^11 + 188*T1^5*T2^11 - 194*T1^6*T2^11 + 
      92*T1^7*T2^11 - 296*T1^8*T2^11 - 898*T1^9*T2^11 - 350*T1^10*T2^11 - 
      350*T1^11*T2^11 - 898*T1^12*T2^11 - 296*T1^13*T2^11 + 92*T1^14*T2^11 - 
      194*T1^15*T2^11 + 188*T1^16*T2^11 + 58*T1^17*T2^11 - 47*T1^18*T2^11 - 
      40*T1^19*T2^11 - 5*T1^20*T2^11 + 13*T1^2*T2^12 + 55*T1^3*T2^12 - 
      2*T1^4*T2^12 - 126*T1^5*T2^12 + 64*T1^6*T2^12 - 196*T1^7*T2^12 + 
      529*T1^8*T2^12 - 296*T1^9*T2^12 + 1722*T1^10*T2^12 - 898*T1^11*T2^12 + 
      1722*T1^12*T2^12 - 296*T1^13*T2^12 + 529*T1^14*T2^12 - 
      196*T1^15*T2^12 + 64*T1^16*T2^12 - 126*T1^17*T2^12 - 2*T1^18*T2^12 + 
      55*T1^19*T2^12 + 13*T1^20*T2^12 - 24*T1^3*T2^13 - 50*T1^4*T2^13 + 
      81*T1^5*T2^13 - 12*T1^6*T2^13 + 125*T1^7*T2^13 - 196*T1^8*T2^13 + 
      92*T1^9*T2^13 - 762*T1^10*T2^13 - 296*T1^11*T2^13 - 296*T1^12*T2^13 - 
      762*T1^13*T2^13 + 92*T1^14*T2^13 - 196*T1^15*T2^13 + 125*T1^16*T2^13 - 
      12*T1^17*T2^13 + 81*T1^18*T2^13 - 50*T1^19*T2^13 - 24*T1^20*T2^13 + 
      34*T1^4*T2^14 + 15*T1^5*T2^14 - 72*T1^6*T2^14 - 12*T1^7*T2^14 + 
      64*T1^8*T2^14 - 194*T1^9*T2^14 + 535*T1^10*T2^14 + 92*T1^11*T2^14 + 
      529*T1^12*T2^14 + 92*T1^13*T2^14 + 535*T1^14*T2^14 - 194*T1^15*T2^14 + 
      64*T1^16*T2^14 - 12*T1^17*T2^14 - 72*T1^18*T2^14 + 15*T1^19*T2^14 + 
      34*T1^20*T2^14 - 37*T1^5*T2^15 + 15*T1^6*T2^15 + 81*T1^7*T2^15 - 
      126*T1^8*T2^15 + 188*T1^9*T2^15 - 164*T1^10*T2^15 - 194*T1^11*T2^15 - 
      196*T1^12*T2^15 - 196*T1^13*T2^15 - 194*T1^14*T2^15 - 164*T1^15*T2^15 + 
      188*T1^16*T2^15 - 126*T1^17*T2^15 + 81*T1^18*T2^15 + 15*T1^19*T2^15 - 
      37*T1^20*T2^15 + 34*T1^6*T2^16 - 50*T1^7*T2^16 - 2*T1^8*T2^16 + 
      58*T1^9*T2^16 - 141*T1^10*T2^16 + 188*T1^11*T2^16 + 64*T1^12*T2^16 + 
      125*T1^13*T2^16 + 64*T1^14*T2^16 + 188*T1^15*T2^16 - 141*T1^16*T2^16 + 
      58*T1^17*T2^16 - 2*T1^18*T2^16 - 50*T1^19*T2^16 + 34*T1^20*T2^16 - 
      24*T1^7*T2^17 + 55*T1^8*T2^17 - 47*T1^9*T2^17 + 12*T1^10*T2^17 + 
      58*T1^11*T2^17 - 126*T1^12*T2^17 - 12*T1^13*T2^17 - 12*T1^14*T2^17 - 
      126*T1^15*T2^17 + 58*T1^16*T2^17 + 12*T1^17*T2^17 - 47*T1^18*T2^17 + 
      55*T1^19*T2^17 - 24*T1^20*T2^17 + 13*T1^8*T2^18 - 40*T1^9*T2^18 + 
      56*T1^10*T2^18 - 47*T1^11*T2^18 - 2*T1^12*T2^18 + 81*T1^13*T2^18 - 
      72*T1^14*T2^18 + 81*T1^15*T2^18 - 2*T1^16*T2^18 - 47*T1^17*T2^18 + 
      56*T1^18*T2^18 - 40*T1^19*T2^18 + 13*T1^20*T2^18 - 5*T1^9*T2^19 + 
      20*T1^10*T2^19 - 40*T1^11*T2^19 + 55*T1^12*T2^19 - 50*T1^13*T2^19 + 
      15*T1^14*T2^19 + 15*T1^15*T2^19 - 50*T1^16*T2^19 + 55*T1^17*T2^19 - 
      40*T1^18*T2^19 + 20*T1^19*T2^19 - 5*T1^20*T2^19 + T1^10*T2^20 - 
      5*T1^11*T2^20 + 13*T1^12*T2^20 - 24*T1^13*T2^20 + 34*T1^14*T2^20 - 
      37*T1^15*T2^20 + 34*T1^16*T2^20 - 24*T1^17*T2^20 + 13*T1^18*T2^20 - 
      5*T1^19*T2^20 + T1^20*T2^20)/(T1^10*T2^10))}, 
 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, -((1 - 5*T1 + 12*T1^2 - 19*T1^3 + 23*T1^4 - 19*T1^5 + 12*T1^6 - 
      5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 35*T1^2*T2 + 35*T1^3*T2 - 
      20*T1^4*T2 - 20*T1^5*T2 + 35*T1^6*T2 - 35*T1^7*T2 + 20*T1^8*T2 - 
      5*T1^9*T2 + 12*T2^2 - 35*T1*T2^2 + 31*T1^2*T2^2 + 8*T1^3*T2^2 - 
      35*T1^4*T2^2 + 87*T1^5*T2^2 - 35*T1^6*T2^2 + 8*T1^7*T2^2 + 
      31*T1^8*T2^2 - 35*T1^9*T2^2 + 12*T1^10*T2^2 - 19*T2^3 + 35*T1*T2^3 + 
      8*T1^2*T2^3 - 48*T1^3*T2^3 - 10*T1^4*T2^3 - 47*T1^5*T2^3 - 
      47*T1^6*T2^3 - 10*T1^7*T2^3 - 48*T1^8*T2^3 + 8*T1^9*T2^3 + 
      35*T1^10*T2^3 - 19*T1^11*T2^3 + 23*T2^4 - 20*T1*T2^4 - 35*T1^2*T2^4 - 
      10*T1^3*T2^4 + 156*T1^4*T2^4 + 102*T1^5*T2^4 - 12*T1^6*T2^4 + 
      102*T1^7*T2^4 + 156*T1^8*T2^4 - 10*T1^9*T2^4 - 35*T1^10*T2^4 - 
      20*T1^11*T2^4 + 23*T1^12*T2^4 - 19*T2^5 - 20*T1*T2^5 + 87*T1^2*T2^5 - 
      47*T1^3*T2^5 + 102*T1^4*T2^5 - 658*T1^5*T2^5 + 111*T1^6*T2^5 + 
      111*T1^7*T2^5 - 658*T1^8*T2^5 + 102*T1^9*T2^5 - 47*T1^10*T2^5 + 
      87*T1^11*T2^5 - 20*T1^12*T2^5 - 19*T1^13*T2^5 + 12*T2^6 + 35*T1*T2^6 - 
      35*T1^2*T2^6 - 47*T1^3*T2^6 - 12*T1^4*T2^6 + 111*T1^5*T2^6 + 
      1335*T1^6*T2^6 - 1279*T1^7*T2^6 + 1335*T1^8*T2^6 + 111*T1^9*T2^6 - 
      12*T1^10*T2^6 - 47*T1^11*T2^6 - 35*T1^12*T2^6 + 35*T1^13*T2^6 + 
      12*T1^14*T2^6 - 5*T2^7 - 35*T1*T2^7 + 8*T1^2*T2^7 - 10*T1^3*T2^7 + 
      102*T1^4*T2^7 + 111*T1^5*T2^7 - 1279*T1^6*T2^7 + 62*T1^7*T2^7 + 
      62*T1^8*T2^7 - 1279*T1^9*T2^7 + 111*T1^10*T2^7 + 102*T1^11*T2^7 - 
      10*T1^12*T2^7 + 8*T1^13*T2^7 - 35*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 
      20*T1*T2^8 + 31*T1^2*T2^8 - 48*T1^3*T2^8 + 156*T1^4*T2^8 - 
      658*T1^5*T2^8 + 1335*T1^6*T2^8 + 62*T1^7*T2^8 + 528*T1^8*T2^8 + 
      62*T1^9*T2^8 + 1335*T1^10*T2^8 - 658*T1^11*T2^8 + 156*T1^12*T2^8 - 
      48*T1^13*T2^8 + 31*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 
      5*T1*T2^9 - 35*T1^2*T2^9 + 8*T1^3*T2^9 - 10*T1^4*T2^9 + 102*T1^5*T2^9 + 
      111*T1^6*T2^9 - 1279*T1^7*T2^9 + 62*T1^8*T2^9 + 62*T1^9*T2^9 - 
      1279*T1^10*T2^9 + 111*T1^11*T2^9 + 102*T1^12*T2^9 - 10*T1^13*T2^9 + 
      8*T1^14*T2^9 - 35*T1^15*T2^9 - 5*T1^16*T2^9 + 12*T1^2*T2^10 + 
      35*T1^3*T2^10 - 35*T1^4*T2^10 - 47*T1^5*T2^10 - 12*T1^6*T2^10 + 
      111*T1^7*T2^10 + 1335*T1^8*T2^10 - 1279*T1^9*T2^10 + 1335*T1^10*T2^10 + 
      111*T1^11*T2^10 - 12*T1^12*T2^10 - 47*T1^13*T2^10 - 35*T1^14*T2^10 + 
      35*T1^15*T2^10 + 12*T1^16*T2^10 - 19*T1^3*T2^11 - 20*T1^4*T2^11 + 
      87*T1^5*T2^11 - 47*T1^6*T2^11 + 102*T1^7*T2^11 - 658*T1^8*T2^11 + 
      111*T1^9*T2^11 + 111*T1^10*T2^11 - 658*T1^11*T2^11 + 102*T1^12*T2^11 - 
      47*T1^13*T2^11 + 87*T1^14*T2^11 - 20*T1^15*T2^11 - 19*T1^16*T2^11 + 
      23*T1^4*T2^12 - 20*T1^5*T2^12 - 35*T1^6*T2^12 - 10*T1^7*T2^12 + 
      156*T1^8*T2^12 + 102*T1^9*T2^12 - 12*T1^10*T2^12 + 102*T1^11*T2^12 + 
      156*T1^12*T2^12 - 10*T1^13*T2^12 - 35*T1^14*T2^12 - 20*T1^15*T2^12 + 
      23*T1^16*T2^12 - 19*T1^5*T2^13 + 35*T1^6*T2^13 + 8*T1^7*T2^13 - 
      48*T1^8*T2^13 - 10*T1^9*T2^13 - 47*T1^10*T2^13 - 47*T1^11*T2^13 - 
      10*T1^12*T2^13 - 48*T1^13*T2^13 + 8*T1^14*T2^13 + 35*T1^15*T2^13 - 
      19*T1^16*T2^13 + 12*T1^6*T2^14 - 35*T1^7*T2^14 + 31*T1^8*T2^14 + 
      8*T1^9*T2^14 - 35*T1^10*T2^14 + 87*T1^11*T2^14 - 35*T1^12*T2^14 + 
      8*T1^13*T2^14 + 31*T1^14*T2^14 - 35*T1^15*T2^14 + 12*T1^16*T2^14 - 
      5*T1^7*T2^15 + 20*T1^8*T2^15 - 35*T1^9*T2^15 + 35*T1^10*T2^15 - 
      20*T1^11*T2^15 - 20*T1^12*T2^15 + 35*T1^13*T2^15 - 35*T1^14*T2^15 + 
      20*T1^15*T2^15 - 5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 
      12*T1^10*T2^16 - 19*T1^11*T2^16 + 23*T1^12*T2^16 - 19*T1^13*T2^16 + 
      12*T1^14*T2^16 - 5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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), 0}, 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, (1 - 5*T1 + 14*T1^2 - 27*T1^3 + 39*T1^4 - 43*T1^5 + 
     39*T1^6 - 27*T1^7 + 14*T1^8 - 5*T1^9 + T1^10 - 5*T2 + 20*T1*T2 - 
     45*T1^2*T2 + 65*T1^3*T2 - 60*T1^4*T2 + 20*T1^5*T2 + 20*T1^6*T2 - 
     60*T1^7*T2 + 65*T1^8*T2 - 45*T1^9*T2 + 20*T1^10*T2 - 5*T1^11*T2 + 
     14*T2^2 - 45*T1*T2^2 + 83*T1^2*T2^2 - 90*T1^3*T2^2 + 47*T1^4*T2^2 + 
     31*T1^5*T2^2 - 29*T1^6*T2^2 + 31*T1^7*T2^2 + 47*T1^8*T2^2 - 
     90*T1^9*T2^2 + 83*T1^10*T2^2 - 45*T1^11*T2^2 + 14*T1^12*T2^2 - 27*T2^3 + 
     65*T1*T2^3 - 90*T1^2*T2^3 + 48*T1^3*T2^3 + 40*T1^4*T2^3 - 
     122*T1^5*T2^3 - 3*T1^6*T2^3 - 3*T1^7*T2^3 - 122*T1^8*T2^3 + 
     40*T1^9*T2^3 + 48*T1^10*T2^3 - 90*T1^11*T2^3 + 65*T1^12*T2^3 - 
     27*T1^13*T2^3 + 39*T2^4 - 60*T1*T2^4 + 47*T1^2*T2^4 + 40*T1^3*T2^4 - 
     103*T1^4*T2^4 + 96*T1^5*T2^4 + 213*T1^6*T2^4 - 71*T1^7*T2^4 + 
     213*T1^8*T2^4 + 96*T1^9*T2^4 - 103*T1^10*T2^4 + 40*T1^11*T2^4 + 
     47*T1^12*T2^4 - 60*T1^13*T2^4 + 39*T1^14*T2^4 - 43*T2^5 + 20*T1*T2^5 + 
     31*T1^2*T2^5 - 122*T1^3*T2^5 + 96*T1^4*T2^5 - 2*T1^5*T2^5 - 
     364*T1^6*T2^5 - 118*T1^7*T2^5 - 118*T1^8*T2^5 - 364*T1^9*T2^5 - 
     2*T1^10*T2^5 + 96*T1^11*T2^5 - 122*T1^12*T2^5 + 31*T1^13*T2^5 + 
     20*T1^14*T2^5 - 43*T1^15*T2^5 + 39*T2^6 + 20*T1*T2^6 - 29*T1^2*T2^6 - 
     3*T1^3*T2^6 + 213*T1^4*T2^6 - 364*T1^5*T2^6 + 634*T1^6*T2^6 + 
     176*T1^7*T2^6 + 388*T1^8*T2^6 + 176*T1^9*T2^6 + 634*T1^10*T2^6 - 
     364*T1^11*T2^6 + 213*T1^12*T2^6 - 3*T1^13*T2^6 - 29*T1^14*T2^6 + 
     20*T1^15*T2^6 + 39*T1^16*T2^6 - 27*T2^7 - 60*T1*T2^7 + 31*T1^2*T2^7 - 
     3*T1^3*T2^7 - 71*T1^4*T2^7 - 118*T1^5*T2^7 + 176*T1^6*T2^7 - 
     1026*T1^7*T2^7 - 212*T1^8*T2^7 - 212*T1^9*T2^7 - 1026*T1^10*T2^7 + 
     176*T1^11*T2^7 - 118*T1^12*T2^7 - 71*T1^13*T2^7 - 3*T1^14*T2^7 + 
     31*T1^15*T2^7 - 60*T1^16*T2^7 - 27*T1^17*T2^7 + 14*T2^8 + 65*T1*T2^8 + 
     47*T1^2*T2^8 - 122*T1^3*T2^8 + 213*T1^4*T2^8 - 118*T1^5*T2^8 + 
     388*T1^6*T2^8 - 212*T1^7*T2^8 + 2092*T1^8*T2^8 - 1336*T1^9*T2^8 + 
     2092*T1^10*T2^8 - 212*T1^11*T2^8 + 388*T1^12*T2^8 - 118*T1^13*T2^8 + 
     213*T1^14*T2^8 - 122*T1^15*T2^8 + 47*T1^16*T2^8 + 65*T1^17*T2^8 + 
     14*T1^18*T2^8 - 5*T2^9 - 45*T1*T2^9 - 90*T1^2*T2^9 + 40*T1^3*T2^9 + 
     96*T1^4*T2^9 - 364*T1^5*T2^9 + 176*T1^6*T2^9 - 212*T1^7*T2^9 - 
     1336*T1^8*T2^9 - 224*T1^9*T2^9 - 224*T1^10*T2^9 - 1336*T1^11*T2^9 - 
     212*T1^12*T2^9 + 176*T1^13*T2^9 - 364*T1^14*T2^9 + 96*T1^15*T2^9 + 
     40*T1^16*T2^9 - 90*T1^17*T2^9 - 45*T1^18*T2^9 - 5*T1^19*T2^9 + T2^10 + 
     20*T1*T2^10 + 83*T1^2*T2^10 + 48*T1^3*T2^10 - 103*T1^4*T2^10 - 
     2*T1^5*T2^10 + 634*T1^6*T2^10 - 1026*T1^7*T2^10 + 2092*T1^8*T2^10 - 
     224*T1^9*T2^10 + 1068*T1^10*T2^10 - 224*T1^11*T2^10 + 2092*T1^12*T2^10 - 
     1026*T1^13*T2^10 + 634*T1^14*T2^10 - 2*T1^15*T2^10 - 103*T1^16*T2^10 + 
     48*T1^17*T2^10 + 83*T1^18*T2^10 + 20*T1^19*T2^10 + T1^20*T2^10 - 
     5*T1*T2^11 - 45*T1^2*T2^11 - 90*T1^3*T2^11 + 40*T1^4*T2^11 + 
     96*T1^5*T2^11 - 364*T1^6*T2^11 + 176*T1^7*T2^11 - 212*T1^8*T2^11 - 
     1336*T1^9*T2^11 - 224*T1^10*T2^11 - 224*T1^11*T2^11 - 1336*T1^12*T2^11 - 
     212*T1^13*T2^11 + 176*T1^14*T2^11 - 364*T1^15*T2^11 + 96*T1^16*T2^11 + 
     40*T1^17*T2^11 - 90*T1^18*T2^11 - 45*T1^19*T2^11 - 5*T1^20*T2^11 + 
     14*T1^2*T2^12 + 65*T1^3*T2^12 + 47*T1^4*T2^12 - 122*T1^5*T2^12 + 
     213*T1^6*T2^12 - 118*T1^7*T2^12 + 388*T1^8*T2^12 - 212*T1^9*T2^12 + 
     2092*T1^10*T2^12 - 1336*T1^11*T2^12 + 2092*T1^12*T2^12 - 
     212*T1^13*T2^12 + 388*T1^14*T2^12 - 118*T1^15*T2^12 + 213*T1^16*T2^12 - 
     122*T1^17*T2^12 + 47*T1^18*T2^12 + 65*T1^19*T2^12 + 14*T1^20*T2^12 - 
     27*T1^3*T2^13 - 60*T1^4*T2^13 + 31*T1^5*T2^13 - 3*T1^6*T2^13 - 
     71*T1^7*T2^13 - 118*T1^8*T2^13 + 176*T1^9*T2^13 - 1026*T1^10*T2^13 - 
     212*T1^11*T2^13 - 212*T1^12*T2^13 - 1026*T1^13*T2^13 + 176*T1^14*T2^13 - 
     118*T1^15*T2^13 - 71*T1^16*T2^13 - 3*T1^17*T2^13 + 31*T1^18*T2^13 - 
     60*T1^19*T2^13 - 27*T1^20*T2^13 + 39*T1^4*T2^14 + 20*T1^5*T2^14 - 
     29*T1^6*T2^14 - 3*T1^7*T2^14 + 213*T1^8*T2^14 - 364*T1^9*T2^14 + 
     634*T1^10*T2^14 + 176*T1^11*T2^14 + 388*T1^12*T2^14 + 176*T1^13*T2^14 + 
     634*T1^14*T2^14 - 364*T1^15*T2^14 + 213*T1^16*T2^14 - 3*T1^17*T2^14 - 
     29*T1^18*T2^14 + 20*T1^19*T2^14 + 39*T1^20*T2^14 - 43*T1^5*T2^15 + 
     20*T1^6*T2^15 + 31*T1^7*T2^15 - 122*T1^8*T2^15 + 96*T1^9*T2^15 - 
     2*T1^10*T2^15 - 364*T1^11*T2^15 - 118*T1^12*T2^15 - 118*T1^13*T2^15 - 
     364*T1^14*T2^15 - 2*T1^15*T2^15 + 96*T1^16*T2^15 - 122*T1^17*T2^15 + 
     31*T1^18*T2^15 + 20*T1^19*T2^15 - 43*T1^20*T2^15 + 39*T1^6*T2^16 - 
     60*T1^7*T2^16 + 47*T1^8*T2^16 + 40*T1^9*T2^16 - 103*T1^10*T2^16 + 
     96*T1^11*T2^16 + 213*T1^12*T2^16 - 71*T1^13*T2^16 + 213*T1^14*T2^16 + 
     96*T1^15*T2^16 - 103*T1^16*T2^16 + 40*T1^17*T2^16 + 47*T1^18*T2^16 - 
     60*T1^19*T2^16 + 39*T1^20*T2^16 - 27*T1^7*T2^17 + 65*T1^8*T2^17 - 
     90*T1^9*T2^17 + 48*T1^10*T2^17 + 40*T1^11*T2^17 - 122*T1^12*T2^17 - 
     3*T1^13*T2^17 - 3*T1^14*T2^17 - 122*T1^15*T2^17 + 40*T1^16*T2^17 + 
     48*T1^17*T2^17 - 90*T1^18*T2^17 + 65*T1^19*T2^17 - 27*T1^20*T2^17 + 
     14*T1^8*T2^18 - 45*T1^9*T2^18 + 83*T1^10*T2^18 - 90*T1^11*T2^18 + 
     47*T1^12*T2^18 + 31*T1^13*T2^18 - 29*T1^14*T2^18 + 31*T1^15*T2^18 + 
     47*T1^16*T2^18 - 90*T1^17*T2^18 + 83*T1^18*T2^18 - 45*T1^19*T2^18 + 
     14*T1^20*T2^18 - 5*T1^9*T2^19 + 20*T1^10*T2^19 - 45*T1^11*T2^19 + 
     65*T1^12*T2^19 - 60*T1^13*T2^19 + 20*T1^14*T2^19 + 20*T1^15*T2^19 - 
     60*T1^16*T2^19 + 65*T1^17*T2^19 - 45*T1^18*T2^19 + 20*T1^19*T2^19 - 
     5*T1^20*T2^19 + T1^10*T2^20 - 5*T1^11*T2^20 + 14*T1^12*T2^20 - 
     27*T1^13*T2^20 + 39*T1^14*T2^20 - 43*T1^15*T2^20 + 39*T1^16*T2^20 - 
     27*T1^17*T2^20 + 14*T1^18*T2^20 - 5*T1^19*T2^20 + T1^20*T2^20)/
    (T1^10*T2^10)}, 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), (1 - 3*T1 + 5*T1^2 - 8*T1^3 + 9*T1^4 - 
     8*T1^5 + 5*T1^6 - 3*T1^7 + T1^8 - 3*T2 + 4*T1*T2 - T1^2*T2 + 5*T1^3*T2 - 
     2*T1^4*T2 - 2*T1^5*T2 + 5*T1^6*T2 - T1^7*T2 + 4*T1^8*T2 - 3*T1^9*T2 + 
     5*T2^2 - T1*T2^2 + 2*T1^2*T2^2 - 36*T1^3*T2^2 + 46*T1^4*T2^2 - 
     48*T1^5*T2^2 + 46*T1^6*T2^2 - 36*T1^7*T2^2 + 2*T1^8*T2^2 - T1^9*T2^2 + 
     5*T1^10*T2^2 - 8*T2^3 + 5*T1*T2^3 - 36*T1^2*T2^3 + 106*T1^3*T2^3 - 
     75*T1^4*T2^3 + 21*T1^5*T2^3 + 21*T1^6*T2^3 - 75*T1^7*T2^3 + 
     106*T1^8*T2^3 - 36*T1^9*T2^3 + 5*T1^10*T2^3 - 8*T1^11*T2^3 + 9*T2^4 - 
     2*T1*T2^4 + 46*T1^2*T2^4 - 75*T1^3*T2^4 - 71*T1^4*T2^4 + 146*T1^5*T2^4 - 
     133*T1^6*T2^4 + 146*T1^7*T2^4 - 71*T1^8*T2^4 - 75*T1^9*T2^4 + 
     46*T1^10*T2^4 - 2*T1^11*T2^4 + 9*T1^12*T2^4 - 8*T2^5 - 2*T1*T2^5 - 
     48*T1^2*T2^5 + 21*T1^3*T2^5 + 146*T1^4*T2^5 - 86*T1^5*T2^5 - 
     17*T1^6*T2^5 - 17*T1^7*T2^5 - 86*T1^8*T2^5 + 146*T1^9*T2^5 + 
     21*T1^10*T2^5 - 48*T1^11*T2^5 - 2*T1^12*T2^5 - 8*T1^13*T2^5 + 5*T2^6 + 
     5*T1*T2^6 + 46*T1^2*T2^6 + 21*T1^3*T2^6 - 133*T1^4*T2^6 - 17*T1^5*T2^6 + 
     26*T1^6*T2^6 + 110*T1^7*T2^6 + 26*T1^8*T2^6 - 17*T1^9*T2^6 - 
     133*T1^10*T2^6 + 21*T1^11*T2^6 + 46*T1^12*T2^6 + 5*T1^13*T2^6 + 
     5*T1^14*T2^6 - 3*T2^7 - T1*T2^7 - 36*T1^2*T2^7 - 75*T1^3*T2^7 + 
     146*T1^4*T2^7 - 17*T1^5*T2^7 + 110*T1^6*T2^7 - 146*T1^7*T2^7 - 
     146*T1^8*T2^7 + 110*T1^9*T2^7 - 17*T1^10*T2^7 + 146*T1^11*T2^7 - 
     75*T1^12*T2^7 - 36*T1^13*T2^7 - T1^14*T2^7 - 3*T1^15*T2^7 + T2^8 + 
     4*T1*T2^8 + 2*T1^2*T2^8 + 106*T1^3*T2^8 - 71*T1^4*T2^8 - 86*T1^5*T2^8 + 
     26*T1^6*T2^8 - 146*T1^7*T2^8 + 384*T1^8*T2^8 - 146*T1^9*T2^8 + 
     26*T1^10*T2^8 - 86*T1^11*T2^8 - 71*T1^12*T2^8 + 106*T1^13*T2^8 + 
     2*T1^14*T2^8 + 4*T1^15*T2^8 + T1^16*T2^8 - 3*T1*T2^9 - T1^2*T2^9 - 
     36*T1^3*T2^9 - 75*T1^4*T2^9 + 146*T1^5*T2^9 - 17*T1^6*T2^9 + 
     110*T1^7*T2^9 - 146*T1^8*T2^9 - 146*T1^9*T2^9 + 110*T1^10*T2^9 - 
     17*T1^11*T2^9 + 146*T1^12*T2^9 - 75*T1^13*T2^9 - 36*T1^14*T2^9 - 
     T1^15*T2^9 - 3*T1^16*T2^9 + 5*T1^2*T2^10 + 5*T1^3*T2^10 + 
     46*T1^4*T2^10 + 21*T1^5*T2^10 - 133*T1^6*T2^10 - 17*T1^7*T2^10 + 
     26*T1^8*T2^10 + 110*T1^9*T2^10 + 26*T1^10*T2^10 - 17*T1^11*T2^10 - 
     133*T1^12*T2^10 + 21*T1^13*T2^10 + 46*T1^14*T2^10 + 5*T1^15*T2^10 + 
     5*T1^16*T2^10 - 8*T1^3*T2^11 - 2*T1^4*T2^11 - 48*T1^5*T2^11 + 
     21*T1^6*T2^11 + 146*T1^7*T2^11 - 86*T1^8*T2^11 - 17*T1^9*T2^11 - 
     17*T1^10*T2^11 - 86*T1^11*T2^11 + 146*T1^12*T2^11 + 21*T1^13*T2^11 - 
     48*T1^14*T2^11 - 2*T1^15*T2^11 - 8*T1^16*T2^11 + 9*T1^4*T2^12 - 
     2*T1^5*T2^12 + 46*T1^6*T2^12 - 75*T1^7*T2^12 - 71*T1^8*T2^12 + 
     146*T1^9*T2^12 - 133*T1^10*T2^12 + 146*T1^11*T2^12 - 71*T1^12*T2^12 - 
     75*T1^13*T2^12 + 46*T1^14*T2^12 - 2*T1^15*T2^12 + 9*T1^16*T2^12 - 
     8*T1^5*T2^13 + 5*T1^6*T2^13 - 36*T1^7*T2^13 + 106*T1^8*T2^13 - 
     75*T1^9*T2^13 + 21*T1^10*T2^13 + 21*T1^11*T2^13 - 75*T1^12*T2^13 + 
     106*T1^13*T2^13 - 36*T1^14*T2^13 + 5*T1^15*T2^13 - 8*T1^16*T2^13 + 
     5*T1^6*T2^14 - T1^7*T2^14 + 2*T1^8*T2^14 - 36*T1^9*T2^14 + 
     46*T1^10*T2^14 - 48*T1^11*T2^14 + 46*T1^12*T2^14 - 36*T1^13*T2^14 + 
     2*T1^14*T2^14 - T1^15*T2^14 + 5*T1^16*T2^14 - 3*T1^7*T2^15 + 
     4*T1^8*T2^15 - T1^9*T2^15 + 5*T1^10*T2^15 - 2*T1^11*T2^15 - 
     2*T1^12*T2^15 + 5*T1^13*T2^15 - T1^14*T2^15 + 4*T1^15*T2^15 - 
     3*T1^16*T2^15 + T1^8*T2^16 - 3*T1^9*T2^16 + 5*T1^10*T2^16 - 
     8*T1^11*T2^16 + 9*T1^12*T2^16 - 8*T1^13*T2^16 + 5*T1^14*T2^16 - 
     3*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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), -((7 - 35*T1 + 84*T1^2 - 129*T1^3 + 143*T1^4 - 129*T1^5 + 
      84*T1^6 - 35*T1^7 + 7*T1^8 - 35*T2 + 140*T1*T2 - 245*T1^2*T2 + 
      225*T1^3*T2 - 70*T1^4*T2 - 70*T1^5*T2 + 225*T1^6*T2 - 245*T1^7*T2 + 
      140*T1^8*T2 - 35*T1^9*T2 + 84*T2^2 - 245*T1*T2^2 + 201*T1^2*T2^2 + 
      200*T1^3*T2^2 - 641*T1^4*T2^2 + 663*T1^5*T2^2 - 641*T1^6*T2^2 + 
      200*T1^7*T2^2 + 201*T1^8*T2^2 - 245*T1^9*T2^2 + 84*T1^10*T2^2 - 
      129*T2^3 + 225*T1*T2^3 + 200*T1^2*T2^3 - 912*T1^3*T2^3 + 
      1012*T1^4*T2^3 - 197*T1^5*T2^3 - 197*T1^6*T2^3 + 1012*T1^7*T2^3 - 
      912*T1^8*T2^3 + 200*T1^9*T2^3 + 225*T1^10*T2^3 - 129*T1^11*T2^3 + 
      143*T2^4 - 70*T1*T2^4 - 641*T1^2*T2^4 + 1012*T1^3*T2^4 - 54*T1^4*T2^4 - 
      1394*T1^5*T2^4 + 1216*T1^6*T2^4 - 1394*T1^7*T2^4 - 54*T1^8*T2^4 + 
      1012*T1^9*T2^4 - 641*T1^10*T2^4 - 70*T1^11*T2^4 + 143*T1^12*T2^4 - 
      129*T2^5 - 70*T1*T2^5 + 663*T1^2*T2^5 - 197*T1^3*T2^5 - 
      1394*T1^4*T2^5 + 2008*T1^5*T2^5 - 295*T1^6*T2^5 - 295*T1^7*T2^5 + 
      2008*T1^8*T2^5 - 1394*T1^9*T2^5 - 197*T1^10*T2^5 + 663*T1^11*T2^5 - 
      70*T1^12*T2^5 - 129*T1^13*T2^5 + 84*T2^6 + 225*T1*T2^6 - 
      641*T1^2*T2^6 - 197*T1^3*T2^6 + 1216*T1^4*T2^6 - 295*T1^5*T2^6 - 
      2019*T1^6*T2^6 + 1881*T1^7*T2^6 - 2019*T1^8*T2^6 - 295*T1^9*T2^6 + 
      1216*T1^10*T2^6 - 197*T1^11*T2^6 - 641*T1^12*T2^6 + 225*T1^13*T2^6 + 
      84*T1^14*T2^6 - 35*T2^7 - 245*T1*T2^7 + 200*T1^2*T2^7 + 
      1012*T1^3*T2^7 - 1394*T1^4*T2^7 - 295*T1^5*T2^7 + 1881*T1^6*T2^7 - 
      428*T1^7*T2^7 - 428*T1^8*T2^7 + 1881*T1^9*T2^7 - 295*T1^10*T2^7 - 
      1394*T1^11*T2^7 + 1012*T1^12*T2^7 + 200*T1^13*T2^7 - 245*T1^14*T2^7 - 
      35*T1^15*T2^7 + 7*T2^8 + 140*T1*T2^8 + 201*T1^2*T2^8 - 912*T1^3*T2^8 - 
      54*T1^4*T2^8 + 2008*T1^5*T2^8 - 2019*T1^6*T2^8 - 428*T1^7*T2^8 + 
      744*T1^8*T2^8 - 428*T1^9*T2^8 - 2019*T1^10*T2^8 + 2008*T1^11*T2^8 - 
      54*T1^12*T2^8 - 912*T1^13*T2^8 + 201*T1^14*T2^8 + 140*T1^15*T2^8 + 
      7*T1^16*T2^8 - 35*T1*T2^9 - 245*T1^2*T2^9 + 200*T1^3*T2^9 + 
      1012*T1^4*T2^9 - 1394*T1^5*T2^9 - 295*T1^6*T2^9 + 1881*T1^7*T2^9 - 
      428*T1^8*T2^9 - 428*T1^9*T2^9 + 1881*T1^10*T2^9 - 295*T1^11*T2^9 - 
      1394*T1^12*T2^9 + 1012*T1^13*T2^9 + 200*T1^14*T2^9 - 245*T1^15*T2^9 - 
      35*T1^16*T2^9 + 84*T1^2*T2^10 + 225*T1^3*T2^10 - 641*T1^4*T2^10 - 
      197*T1^5*T2^10 + 1216*T1^6*T2^10 - 295*T1^7*T2^10 - 2019*T1^8*T2^10 + 
      1881*T1^9*T2^10 - 2019*T1^10*T2^10 - 295*T1^11*T2^10 + 
      1216*T1^12*T2^10 - 197*T1^13*T2^10 - 641*T1^14*T2^10 + 
      225*T1^15*T2^10 + 84*T1^16*T2^10 - 129*T1^3*T2^11 - 70*T1^4*T2^11 + 
      663*T1^5*T2^11 - 197*T1^6*T2^11 - 1394*T1^7*T2^11 + 2008*T1^8*T2^11 - 
      295*T1^9*T2^11 - 295*T1^10*T2^11 + 2008*T1^11*T2^11 - 
      1394*T1^12*T2^11 - 197*T1^13*T2^11 + 663*T1^14*T2^11 - 70*T1^15*T2^11 - 
      129*T1^16*T2^11 + 143*T1^4*T2^12 - 70*T1^5*T2^12 - 641*T1^6*T2^12 + 
      1012*T1^7*T2^12 - 54*T1^8*T2^12 - 1394*T1^9*T2^12 + 1216*T1^10*T2^12 - 
      1394*T1^11*T2^12 - 54*T1^12*T2^12 + 1012*T1^13*T2^12 - 
      641*T1^14*T2^12 - 70*T1^15*T2^12 + 143*T1^16*T2^12 - 129*T1^5*T2^13 + 
      225*T1^6*T2^13 + 200*T1^7*T2^13 - 912*T1^8*T2^13 + 1012*T1^9*T2^13 - 
      197*T1^10*T2^13 - 197*T1^11*T2^13 + 1012*T1^12*T2^13 - 
      912*T1^13*T2^13 + 200*T1^14*T2^13 + 225*T1^15*T2^13 - 129*T1^16*T2^13 + 
      84*T1^6*T2^14 - 245*T1^7*T2^14 + 201*T1^8*T2^14 + 200*T1^9*T2^14 - 
      641*T1^10*T2^14 + 663*T1^11*T2^14 - 641*T1^12*T2^14 + 200*T1^13*T2^14 + 
      201*T1^14*T2^14 - 245*T1^15*T2^14 + 84*T1^16*T2^14 - 35*T1^7*T2^15 + 
      140*T1^8*T2^15 - 245*T1^9*T2^15 + 225*T1^10*T2^15 - 70*T1^11*T2^15 - 
      70*T1^12*T2^15 + 225*T1^13*T2^15 - 245*T1^14*T2^15 + 140*T1^15*T2^15 - 
      35*T1^16*T2^15 + 7*T1^8*T2^16 - 35*T1^9*T2^16 + 84*T1^10*T2^16 - 
      129*T1^11*T2^16 + 143*T1^12*T2^16 - 129*T1^13*T2^16 + 84*T1^14*T2^16 - 
      35*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^8*T2^8))}, 
 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), -((2 - 6*T1 + 12*T1^2 - 20*T1^3 + 24*T1^4 - 
      26*T1^5 + 24*T1^6 - 20*T1^7 + 12*T1^8 - 6*T1^9 + 2*T1^10 - 6*T2 + 
      12*T1*T2 - 18*T1^2*T2 + 24*T1^3*T2 - 12*T1^4*T2 + 6*T1^5*T2 + 
      6*T1^6*T2 - 12*T1^7*T2 + 24*T1^8*T2 - 18*T1^9*T2 + 12*T1^10*T2 - 
      6*T1^11*T2 + 12*T2^2 - 18*T1*T2^2 + 29*T1^2*T2^2 - 45*T1^3*T2^2 + 
      29*T1^4*T2^2 - 48*T1^5*T2^2 + 41*T1^6*T2^2 - 48*T1^7*T2^2 + 
      29*T1^8*T2^2 - 45*T1^9*T2^2 + 29*T1^10*T2^2 - 18*T1^11*T2^2 + 
      12*T1^12*T2^2 - 20*T2^3 + 24*T1*T2^3 - 45*T1^2*T2^3 + 66*T1^3*T2^3 - 
      24*T1^4*T2^3 + 53*T1^5*T2^3 - T1^6*T2^3 - T1^7*T2^3 + 53*T1^8*T2^3 - 
      24*T1^9*T2^3 + 66*T1^10*T2^3 - 45*T1^11*T2^3 + 24*T1^12*T2^3 - 
      20*T1^13*T2^3 + 24*T2^4 - 12*T1*T2^4 + 29*T1^2*T2^4 - 24*T1^3*T2^4 - 
      61*T1^4*T2^4 + 10*T1^5*T2^4 - 104*T1^6*T2^4 + 61*T1^7*T2^4 - 
      104*T1^8*T2^4 + 10*T1^9*T2^4 - 61*T1^10*T2^4 - 24*T1^11*T2^4 + 
      29*T1^12*T2^4 - 12*T1^13*T2^4 + 24*T1^14*T2^4 - 26*T2^5 + 6*T1*T2^5 - 
      48*T1^2*T2^5 + 53*T1^3*T2^5 + 10*T1^4*T2^5 + 100*T1^5*T2^5 + 
      42*T1^6*T2^5 + 44*T1^7*T2^5 + 44*T1^8*T2^5 + 42*T1^9*T2^5 + 
      100*T1^10*T2^5 + 10*T1^11*T2^5 + 53*T1^12*T2^5 - 48*T1^13*T2^5 + 
      6*T1^14*T2^5 - 26*T1^15*T2^5 + 24*T2^6 + 6*T1*T2^6 + 41*T1^2*T2^6 - 
      T1^3*T2^6 - 104*T1^4*T2^6 + 42*T1^5*T2^6 - 296*T1^6*T2^6 + 
      178*T1^7*T2^6 - 306*T1^8*T2^6 + 178*T1^9*T2^6 - 296*T1^10*T2^6 + 
      42*T1^11*T2^6 - 104*T1^12*T2^6 - T1^13*T2^6 + 41*T1^14*T2^6 + 
      6*T1^15*T2^6 + 24*T1^16*T2^6 - 20*T2^7 - 12*T1*T2^7 - 48*T1^2*T2^7 - 
      T1^3*T2^7 + 61*T1^4*T2^7 + 44*T1^5*T2^7 + 178*T1^6*T2^7 + 
      54*T1^7*T2^7 + 81*T1^8*T2^7 + 81*T1^9*T2^7 + 54*T1^10*T2^7 + 
      178*T1^11*T2^7 + 44*T1^12*T2^7 + 61*T1^13*T2^7 - T1^14*T2^7 - 
      48*T1^15*T2^7 - 12*T1^16*T2^7 - 20*T1^17*T2^7 + 12*T2^8 + 24*T1*T2^8 + 
      29*T1^2*T2^8 + 53*T1^3*T2^8 - 104*T1^4*T2^8 + 44*T1^5*T2^8 - 
      306*T1^6*T2^8 + 81*T1^7*T2^8 - 296*T1^8*T2^8 + 142*T1^9*T2^8 - 
      296*T1^10*T2^8 + 81*T1^11*T2^8 - 306*T1^12*T2^8 + 44*T1^13*T2^8 - 
      104*T1^14*T2^8 + 53*T1^15*T2^8 + 29*T1^16*T2^8 + 24*T1^17*T2^8 + 
      12*T1^18*T2^8 - 6*T2^9 - 18*T1*T2^9 - 45*T1^2*T2^9 - 24*T1^3*T2^9 + 
      10*T1^4*T2^9 + 42*T1^5*T2^9 + 178*T1^6*T2^9 + 81*T1^7*T2^9 + 
      142*T1^8*T2^9 + 64*T1^9*T2^9 + 64*T1^10*T2^9 + 142*T1^11*T2^9 + 
      81*T1^12*T2^9 + 178*T1^13*T2^9 + 42*T1^14*T2^9 + 10*T1^15*T2^9 - 
      24*T1^16*T2^9 - 45*T1^17*T2^9 - 18*T1^18*T2^9 - 6*T1^19*T2^9 + 
      2*T2^10 + 12*T1*T2^10 + 29*T1^2*T2^10 + 66*T1^3*T2^10 - 61*T1^4*T2^10 + 
      100*T1^5*T2^10 - 296*T1^6*T2^10 + 54*T1^7*T2^10 - 296*T1^8*T2^10 + 
      64*T1^9*T2^10 - 216*T1^10*T2^10 + 64*T1^11*T2^10 - 296*T1^12*T2^10 + 
      54*T1^13*T2^10 - 296*T1^14*T2^10 + 100*T1^15*T2^10 - 61*T1^16*T2^10 + 
      66*T1^17*T2^10 + 29*T1^18*T2^10 + 12*T1^19*T2^10 + 2*T1^20*T2^10 - 
      6*T1*T2^11 - 18*T1^2*T2^11 - 45*T1^3*T2^11 - 24*T1^4*T2^11 + 
      10*T1^5*T2^11 + 42*T1^6*T2^11 + 178*T1^7*T2^11 + 81*T1^8*T2^11 + 
      142*T1^9*T2^11 + 64*T1^10*T2^11 + 64*T1^11*T2^11 + 142*T1^12*T2^11 + 
      81*T1^13*T2^11 + 178*T1^14*T2^11 + 42*T1^15*T2^11 + 10*T1^16*T2^11 - 
      24*T1^17*T2^11 - 45*T1^18*T2^11 - 18*T1^19*T2^11 - 6*T1^20*T2^11 + 
      12*T1^2*T2^12 + 24*T1^3*T2^12 + 29*T1^4*T2^12 + 53*T1^5*T2^12 - 
      104*T1^6*T2^12 + 44*T1^7*T2^12 - 306*T1^8*T2^12 + 81*T1^9*T2^12 - 
      296*T1^10*T2^12 + 142*T1^11*T2^12 - 296*T1^12*T2^12 + 81*T1^13*T2^12 - 
      306*T1^14*T2^12 + 44*T1^15*T2^12 - 104*T1^16*T2^12 + 53*T1^17*T2^12 + 
      29*T1^18*T2^12 + 24*T1^19*T2^12 + 12*T1^20*T2^12 - 20*T1^3*T2^13 - 
      12*T1^4*T2^13 - 48*T1^5*T2^13 - T1^6*T2^13 + 61*T1^7*T2^13 + 
      44*T1^8*T2^13 + 178*T1^9*T2^13 + 54*T1^10*T2^13 + 81*T1^11*T2^13 + 
      81*T1^12*T2^13 + 54*T1^13*T2^13 + 178*T1^14*T2^13 + 44*T1^15*T2^13 + 
      61*T1^16*T2^13 - T1^17*T2^13 - 48*T1^18*T2^13 - 12*T1^19*T2^13 - 
      20*T1^20*T2^13 + 24*T1^4*T2^14 + 6*T1^5*T2^14 + 41*T1^6*T2^14 - 
      T1^7*T2^14 - 104*T1^8*T2^14 + 42*T1^9*T2^14 - 296*T1^10*T2^14 + 
      178*T1^11*T2^14 - 306*T1^12*T2^14 + 178*T1^13*T2^14 - 296*T1^14*T2^14 + 
      42*T1^15*T2^14 - 104*T1^16*T2^14 - T1^17*T2^14 + 41*T1^18*T2^14 + 
      6*T1^19*T2^14 + 24*T1^20*T2^14 - 26*T1^5*T2^15 + 6*T1^6*T2^15 - 
      48*T1^7*T2^15 + 53*T1^8*T2^15 + 10*T1^9*T2^15 + 100*T1^10*T2^15 + 
      42*T1^11*T2^15 + 44*T1^12*T2^15 + 44*T1^13*T2^15 + 42*T1^14*T2^15 + 
      100*T1^15*T2^15 + 10*T1^16*T2^15 + 53*T1^17*T2^15 - 48*T1^18*T2^15 + 
      6*T1^19*T2^15 - 26*T1^20*T2^15 + 24*T1^6*T2^16 - 12*T1^7*T2^16 + 
      29*T1^8*T2^16 - 24*T1^9*T2^16 - 61*T1^10*T2^16 + 10*T1^11*T2^16 - 
      104*T1^12*T2^16 + 61*T1^13*T2^16 - 104*T1^14*T2^16 + 10*T1^15*T2^16 - 
      61*T1^16*T2^16 - 24*T1^17*T2^16 + 29*T1^18*T2^16 - 12*T1^19*T2^16 + 
      24*T1^20*T2^16 - 20*T1^7*T2^17 + 24*T1^8*T2^17 - 45*T1^9*T2^17 + 
      66*T1^10*T2^17 - 24*T1^11*T2^17 + 53*T1^12*T2^17 - T1^13*T2^17 - 
      T1^14*T2^17 + 53*T1^15*T2^17 - 24*T1^16*T2^17 + 66*T1^17*T2^17 - 
      45*T1^18*T2^17 + 24*T1^19*T2^17 - 20*T1^20*T2^17 + 12*T1^8*T2^18 - 
      18*T1^9*T2^18 + 29*T1^10*T2^18 - 45*T1^11*T2^18 + 29*T1^12*T2^18 - 
      48*T1^13*T2^18 + 41*T1^14*T2^18 - 48*T1^15*T2^18 + 29*T1^16*T2^18 - 
      45*T1^17*T2^18 + 29*T1^18*T2^18 - 18*T1^19*T2^18 + 12*T1^20*T2^18 - 
      6*T1^9*T2^19 + 12*T1^10*T2^19 - 18*T1^11*T2^19 + 24*T1^12*T2^19 - 
      12*T1^13*T2^19 + 6*T1^14*T2^19 + 6*T1^15*T2^19 - 12*T1^16*T2^19 + 
      24*T1^17*T2^19 - 18*T1^18*T2^19 + 12*T1^19*T2^19 - 6*T1^20*T2^19 + 
      2*T1^10*T2^20 - 6*T1^11*T2^20 + 12*T1^12*T2^20 - 20*T1^13*T2^20 + 
      24*T1^14*T2^20 - 26*T1^15*T2^20 + 24*T1^16*T2^20 - 20*T1^17*T2^20 + 
      12*T1^18*T2^20 - 6*T1^19*T2^20 + 2*T1^20*T2^20)/(T1^10*T2^10))}, 
 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), -((9 - 31*T1 + 66*T1^2 - 110*T1^3 + 127*T1^4 - 110*T1^5 + 
      66*T1^6 - 31*T1^7 + 9*T1^8 - 31*T2 + 76*T1*T2 - 121*T1^2*T2 + 
      152*T1^3*T2 - 59*T1^4*T2 - 59*T1^5*T2 + 152*T1^6*T2 - 121*T1^7*T2 + 
      76*T1^8*T2 - 31*T1^9*T2 + 66*T2^2 - 121*T1*T2^2 + 174*T1^2*T2^2 - 
      225*T1^3*T2^2 + 59*T1^4*T2^2 - 32*T1^5*T2^2 + 59*T1^6*T2^2 - 
      225*T1^7*T2^2 + 174*T1^8*T2^2 - 121*T1^9*T2^2 + 66*T1^10*T2^2 - 
      110*T2^3 + 152*T1*T2^3 - 225*T1^2*T2^3 + 298*T1^3*T2^3 + 18*T1^4*T2^3 + 
      38*T1^5*T2^3 + 38*T1^6*T2^3 + 18*T1^7*T2^3 + 298*T1^8*T2^3 - 
      225*T1^9*T2^3 + 152*T1^10*T2^3 - 110*T1^11*T2^3 + 127*T2^4 - 
      59*T1*T2^4 + 59*T1^2*T2^4 + 18*T1^3*T2^4 - 589*T1^4*T2^4 + 
      312*T1^5*T2^4 - 457*T1^6*T2^4 + 312*T1^7*T2^4 - 589*T1^8*T2^4 + 
      18*T1^9*T2^4 + 59*T1^10*T2^4 - 59*T1^11*T2^4 + 127*T1^12*T2^4 - 
      110*T2^5 - 59*T1*T2^5 - 32*T1^2*T2^5 + 38*T1^3*T2^5 + 312*T1^4*T2^5 + 
      490*T1^5*T2^5 - 22*T1^6*T2^5 - 22*T1^7*T2^5 + 490*T1^8*T2^5 + 
      312*T1^9*T2^5 + 38*T1^10*T2^5 - 32*T1^11*T2^5 - 59*T1^12*T2^5 - 
      110*T1^13*T2^5 + 66*T2^6 + 152*T1*T2^6 + 59*T1^2*T2^6 + 38*T1^3*T2^6 - 
      457*T1^4*T2^6 - 22*T1^5*T2^6 - 1461*T1^6*T2^6 + 1471*T1^7*T2^6 - 
      1461*T1^8*T2^6 - 22*T1^9*T2^6 - 457*T1^10*T2^6 + 38*T1^11*T2^6 + 
      59*T1^12*T2^6 + 152*T1^13*T2^6 + 66*T1^14*T2^6 - 31*T2^7 - 
      121*T1*T2^7 - 225*T1^2*T2^7 + 18*T1^3*T2^7 + 312*T1^4*T2^7 - 
      22*T1^5*T2^7 + 1471*T1^6*T2^7 - 302*T1^7*T2^7 - 302*T1^8*T2^7 + 
      1471*T1^9*T2^7 - 22*T1^10*T2^7 + 312*T1^11*T2^7 + 18*T1^12*T2^7 - 
      225*T1^13*T2^7 - 121*T1^14*T2^7 - 31*T1^15*T2^7 + 9*T2^8 + 76*T1*T2^8 + 
      174*T1^2*T2^8 + 298*T1^3*T2^8 - 589*T1^4*T2^8 + 490*T1^5*T2^8 - 
      1461*T1^6*T2^8 - 302*T1^7*T2^8 + 252*T1^8*T2^8 - 302*T1^9*T2^8 - 
      1461*T1^10*T2^8 + 490*T1^11*T2^8 - 589*T1^12*T2^8 + 298*T1^13*T2^8 + 
      174*T1^14*T2^8 + 76*T1^15*T2^8 + 9*T1^16*T2^8 - 31*T1*T2^9 - 
      121*T1^2*T2^9 - 225*T1^3*T2^9 + 18*T1^4*T2^9 + 312*T1^5*T2^9 - 
      22*T1^6*T2^9 + 1471*T1^7*T2^9 - 302*T1^8*T2^9 - 302*T1^9*T2^9 + 
      1471*T1^10*T2^9 - 22*T1^11*T2^9 + 312*T1^12*T2^9 + 18*T1^13*T2^9 - 
      225*T1^14*T2^9 - 121*T1^15*T2^9 - 31*T1^16*T2^9 + 66*T1^2*T2^10 + 
      152*T1^3*T2^10 + 59*T1^4*T2^10 + 38*T1^5*T2^10 - 457*T1^6*T2^10 - 
      22*T1^7*T2^10 - 1461*T1^8*T2^10 + 1471*T1^9*T2^10 - 1461*T1^10*T2^10 - 
      22*T1^11*T2^10 - 457*T1^12*T2^10 + 38*T1^13*T2^10 + 59*T1^14*T2^10 + 
      152*T1^15*T2^10 + 66*T1^16*T2^10 - 110*T1^3*T2^11 - 59*T1^4*T2^11 - 
      32*T1^5*T2^11 + 38*T1^6*T2^11 + 312*T1^7*T2^11 + 490*T1^8*T2^11 - 
      22*T1^9*T2^11 - 22*T1^10*T2^11 + 490*T1^11*T2^11 + 312*T1^12*T2^11 + 
      38*T1^13*T2^11 - 32*T1^14*T2^11 - 59*T1^15*T2^11 - 110*T1^16*T2^11 + 
      127*T1^4*T2^12 - 59*T1^5*T2^12 + 59*T1^6*T2^12 + 18*T1^7*T2^12 - 
      589*T1^8*T2^12 + 312*T1^9*T2^12 - 457*T1^10*T2^12 + 312*T1^11*T2^12 - 
      589*T1^12*T2^12 + 18*T1^13*T2^12 + 59*T1^14*T2^12 - 59*T1^15*T2^12 + 
      127*T1^16*T2^12 - 110*T1^5*T2^13 + 152*T1^6*T2^13 - 225*T1^7*T2^13 + 
      298*T1^8*T2^13 + 18*T1^9*T2^13 + 38*T1^10*T2^13 + 38*T1^11*T2^13 + 
      18*T1^12*T2^13 + 298*T1^13*T2^13 - 225*T1^14*T2^13 + 152*T1^15*T2^13 - 
      110*T1^16*T2^13 + 66*T1^6*T2^14 - 121*T1^7*T2^14 + 174*T1^8*T2^14 - 
      225*T1^9*T2^14 + 59*T1^10*T2^14 - 32*T1^11*T2^14 + 59*T1^12*T2^14 - 
      225*T1^13*T2^14 + 174*T1^14*T2^14 - 121*T1^15*T2^14 + 66*T1^16*T2^14 - 
      31*T1^7*T2^15 + 76*T1^8*T2^15 - 121*T1^9*T2^15 + 152*T1^10*T2^15 - 
      59*T1^11*T2^15 - 59*T1^12*T2^15 + 152*T1^13*T2^15 - 121*T1^14*T2^15 + 
      76*T1^15*T2^15 - 31*T1^16*T2^15 + 9*T1^8*T2^16 - 31*T1^9*T2^16 + 
      66*T1^10*T2^16 - 110*T1^11*T2^16 + 127*T1^12*T2^16 - 110*T1^13*T2^16 + 
      66*T1^14*T2^16 - 31*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8))}, 
 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), -((1 - 3*T1 + 4*T1^2 - 4*T1^3 + 3*T1^4 - 4*T1^5 + 
      4*T1^6 - 3*T1^7 + T1^8 - 3*T2 + 6*T1*T2 - 2*T1^2*T2 - 2*T1^3*T2 + 
      4*T1^4*T2 + 4*T1^5*T2 - 2*T1^6*T2 - 2*T1^7*T2 + 6*T1^8*T2 - 3*T1^9*T2 + 
      4*T2^2 - 2*T1*T2^2 - 17*T1^2*T2^2 + 28*T1^3*T2^2 - 29*T1^4*T2^2 + 
      15*T1^5*T2^2 - 29*T1^6*T2^2 + 28*T1^7*T2^2 - 17*T1^8*T2^2 - 
      2*T1^9*T2^2 + 4*T1^10*T2^2 - 4*T2^3 - 2*T1*T2^3 + 28*T1^2*T2^3 - 
      26*T1^3*T2^3 + 7*T1^4*T2^3 + 12*T1^5*T2^3 + 12*T1^6*T2^3 + 
      7*T1^7*T2^3 - 26*T1^8*T2^3 + 28*T1^9*T2^3 - 2*T1^10*T2^3 - 
      4*T1^11*T2^3 + 3*T2^4 + 4*T1*T2^4 - 29*T1^2*T2^4 + 7*T1^3*T2^4 + 
      16*T1^4*T2^4 - 36*T1^6*T2^4 + 16*T1^8*T2^4 + 7*T1^9*T2^4 - 
      29*T1^10*T2^4 + 4*T1^11*T2^4 + 3*T1^12*T2^4 - 4*T2^5 + 4*T1*T2^5 + 
      15*T1^2*T2^5 + 12*T1^3*T2^5 - 56*T1^5*T2^5 + 38*T1^6*T2^5 + 
      38*T1^7*T2^5 - 56*T1^8*T2^5 + 12*T1^10*T2^5 + 15*T1^11*T2^5 + 
      4*T1^12*T2^5 - 4*T1^13*T2^5 + 4*T2^6 - 2*T1*T2^6 - 29*T1^2*T2^6 + 
      12*T1^3*T2^6 - 36*T1^4*T2^6 + 38*T1^5*T2^6 + 91*T1^6*T2^6 - 
      139*T1^7*T2^6 + 91*T1^8*T2^6 + 38*T1^9*T2^6 - 36*T1^10*T2^6 + 
      12*T1^11*T2^6 - 29*T1^12*T2^6 - 2*T1^13*T2^6 + 4*T1^14*T2^6 - 3*T2^7 - 
      2*T1*T2^7 + 28*T1^2*T2^7 + 7*T1^3*T2^7 + 38*T1^5*T2^7 - 139*T1^6*T2^7 + 
      44*T1^7*T2^7 + 44*T1^8*T2^7 - 139*T1^9*T2^7 + 38*T1^10*T2^7 + 
      7*T1^12*T2^7 + 28*T1^13*T2^7 - 2*T1^14*T2^7 - 3*T1^15*T2^7 + T2^8 + 
      6*T1*T2^8 - 17*T1^2*T2^8 - 26*T1^3*T2^8 + 16*T1^4*T2^8 - 56*T1^5*T2^8 + 
      91*T1^6*T2^8 + 44*T1^7*T2^8 - 48*T1^8*T2^8 + 44*T1^9*T2^8 + 
      91*T1^10*T2^8 - 56*T1^11*T2^8 + 16*T1^12*T2^8 - 26*T1^13*T2^8 - 
      17*T1^14*T2^8 + 6*T1^15*T2^8 + T1^16*T2^8 - 3*T1*T2^9 - 2*T1^2*T2^9 + 
      28*T1^3*T2^9 + 7*T1^4*T2^9 + 38*T1^6*T2^9 - 139*T1^7*T2^9 + 
      44*T1^8*T2^9 + 44*T1^9*T2^9 - 139*T1^10*T2^9 + 38*T1^11*T2^9 + 
      7*T1^13*T2^9 + 28*T1^14*T2^9 - 2*T1^15*T2^9 - 3*T1^16*T2^9 + 
      4*T1^2*T2^10 - 2*T1^3*T2^10 - 29*T1^4*T2^10 + 12*T1^5*T2^10 - 
      36*T1^6*T2^10 + 38*T1^7*T2^10 + 91*T1^8*T2^10 - 139*T1^9*T2^10 + 
      91*T1^10*T2^10 + 38*T1^11*T2^10 - 36*T1^12*T2^10 + 12*T1^13*T2^10 - 
      29*T1^14*T2^10 - 2*T1^15*T2^10 + 4*T1^16*T2^10 - 4*T1^3*T2^11 + 
      4*T1^4*T2^11 + 15*T1^5*T2^11 + 12*T1^6*T2^11 - 56*T1^8*T2^11 + 
      38*T1^9*T2^11 + 38*T1^10*T2^11 - 56*T1^11*T2^11 + 12*T1^13*T2^11 + 
      15*T1^14*T2^11 + 4*T1^15*T2^11 - 4*T1^16*T2^11 + 3*T1^4*T2^12 + 
      4*T1^5*T2^12 - 29*T1^6*T2^12 + 7*T1^7*T2^12 + 16*T1^8*T2^12 - 
      36*T1^10*T2^12 + 16*T1^12*T2^12 + 7*T1^13*T2^12 - 29*T1^14*T2^12 + 
      4*T1^15*T2^12 + 3*T1^16*T2^12 - 4*T1^5*T2^13 - 2*T1^6*T2^13 + 
      28*T1^7*T2^13 - 26*T1^8*T2^13 + 7*T1^9*T2^13 + 12*T1^10*T2^13 + 
      12*T1^11*T2^13 + 7*T1^12*T2^13 - 26*T1^13*T2^13 + 28*T1^14*T2^13 - 
      2*T1^15*T2^13 - 4*T1^16*T2^13 + 4*T1^6*T2^14 - 2*T1^7*T2^14 - 
      17*T1^8*T2^14 + 28*T1^9*T2^14 - 29*T1^10*T2^14 + 15*T1^11*T2^14 - 
      29*T1^12*T2^14 + 28*T1^13*T2^14 - 17*T1^14*T2^14 - 2*T1^15*T2^14 + 
      4*T1^16*T2^14 - 3*T1^7*T2^15 + 6*T1^8*T2^15 - 2*T1^9*T2^15 - 
      2*T1^10*T2^15 + 4*T1^11*T2^15 + 4*T1^12*T2^15 - 2*T1^13*T2^15 - 
      2*T1^14*T2^15 + 6*T1^15*T2^15 - 3*T1^16*T2^15 + T1^8*T2^16 - 
      3*T1^9*T2^16 + 4*T1^10*T2^16 - 4*T1^11*T2^16 + 3*T1^12*T2^16 - 
      4*T1^13*T2^16 + 4*T1^14*T2^16 - 3*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, 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), (7 - 32*T1 + 75*T1^2 - 117*T1^3 + 131*T1^4 - 117*T1^5 + 75*T1^6 - 
     32*T1^7 + 7*T1^8 - 32*T2 + 114*T1*T2 - 196*T1^2*T2 + 192*T1^3*T2 - 
     64*T1^4*T2 - 64*T1^5*T2 + 192*T1^6*T2 - 196*T1^7*T2 + 114*T1^8*T2 - 
     32*T1^9*T2 + 75*T2^2 - 196*T1*T2^2 + 197*T1^2*T2^2 + 24*T1^3*T2^2 - 
     359*T1^4*T2^2 + 393*T1^5*T2^2 - 359*T1^6*T2^2 + 24*T1^7*T2^2 + 
     197*T1^8*T2^2 - 196*T1^9*T2^2 + 75*T1^10*T2^2 - 117*T2^3 + 192*T1*T2^3 + 
     24*T1^2*T2^3 - 444*T1^3*T2^3 + 672*T1^4*T2^3 - 151*T1^5*T2^3 - 
     151*T1^6*T2^3 + 672*T1^7*T2^3 - 444*T1^8*T2^3 + 24*T1^9*T2^3 + 
     192*T1^10*T2^3 - 117*T1^11*T2^3 + 131*T2^4 - 64*T1*T2^4 - 
     359*T1^2*T2^4 + 672*T1^3*T2^4 - 356*T1^4*T2^4 - 721*T1^5*T2^4 + 
     698*T1^6*T2^4 - 721*T1^7*T2^4 - 356*T1^8*T2^4 + 672*T1^9*T2^4 - 
     359*T1^10*T2^4 - 64*T1^11*T2^4 + 131*T1^12*T2^4 - 117*T2^5 - 
     64*T1*T2^5 + 393*T1^2*T2^5 - 151*T1^3*T2^5 - 721*T1^4*T2^5 + 
     1516*T1^5*T2^5 - 340*T1^6*T2^5 - 340*T1^7*T2^5 + 1516*T1^8*T2^5 - 
     721*T1^9*T2^5 - 151*T1^10*T2^5 + 393*T1^11*T2^5 - 64*T1^12*T2^5 - 
     117*T1^13*T2^5 + 75*T2^6 + 192*T1*T2^6 - 359*T1^2*T2^6 - 151*T1^3*T2^6 + 
     698*T1^4*T2^6 - 340*T1^5*T2^6 - 1637*T1^6*T2^6 + 1821*T1^7*T2^6 - 
     1637*T1^8*T2^6 - 340*T1^9*T2^6 + 698*T1^10*T2^6 - 151*T1^11*T2^6 - 
     359*T1^12*T2^6 + 192*T1^13*T2^6 + 75*T1^14*T2^6 - 32*T2^7 - 
     196*T1*T2^7 + 24*T1^2*T2^7 + 672*T1^3*T2^7 - 721*T1^4*T2^7 - 
     340*T1^5*T2^7 + 1821*T1^6*T2^7 - 598*T1^7*T2^7 - 598*T1^8*T2^7 + 
     1821*T1^9*T2^7 - 340*T1^10*T2^7 - 721*T1^11*T2^7 + 672*T1^12*T2^7 + 
     24*T1^13*T2^7 - 196*T1^14*T2^7 - 32*T1^15*T2^7 + 7*T2^8 + 114*T1*T2^8 + 
     197*T1^2*T2^8 - 444*T1^3*T2^8 - 356*T1^4*T2^8 + 1516*T1^5*T2^8 - 
     1637*T1^6*T2^8 - 598*T1^7*T2^8 + 1152*T1^8*T2^8 - 598*T1^9*T2^8 - 
     1637*T1^10*T2^8 + 1516*T1^11*T2^8 - 356*T1^12*T2^8 - 444*T1^13*T2^8 + 
     197*T1^14*T2^8 + 114*T1^15*T2^8 + 7*T1^16*T2^8 - 32*T1*T2^9 - 
     196*T1^2*T2^9 + 24*T1^3*T2^9 + 672*T1^4*T2^9 - 721*T1^5*T2^9 - 
     340*T1^6*T2^9 + 1821*T1^7*T2^9 - 598*T1^8*T2^9 - 598*T1^9*T2^9 + 
     1821*T1^10*T2^9 - 340*T1^11*T2^9 - 721*T1^12*T2^9 + 672*T1^13*T2^9 + 
     24*T1^14*T2^9 - 196*T1^15*T2^9 - 32*T1^16*T2^9 + 75*T1^2*T2^10 + 
     192*T1^3*T2^10 - 359*T1^4*T2^10 - 151*T1^5*T2^10 + 698*T1^6*T2^10 - 
     340*T1^7*T2^10 - 1637*T1^8*T2^10 + 1821*T1^9*T2^10 - 1637*T1^10*T2^10 - 
     340*T1^11*T2^10 + 698*T1^12*T2^10 - 151*T1^13*T2^10 - 359*T1^14*T2^10 + 
     192*T1^15*T2^10 + 75*T1^16*T2^10 - 117*T1^3*T2^11 - 64*T1^4*T2^11 + 
     393*T1^5*T2^11 - 151*T1^6*T2^11 - 721*T1^7*T2^11 + 1516*T1^8*T2^11 - 
     340*T1^9*T2^11 - 340*T1^10*T2^11 + 1516*T1^11*T2^11 - 721*T1^12*T2^11 - 
     151*T1^13*T2^11 + 393*T1^14*T2^11 - 64*T1^15*T2^11 - 117*T1^16*T2^11 + 
     131*T1^4*T2^12 - 64*T1^5*T2^12 - 359*T1^6*T2^12 + 672*T1^7*T2^12 - 
     356*T1^8*T2^12 - 721*T1^9*T2^12 + 698*T1^10*T2^12 - 721*T1^11*T2^12 - 
     356*T1^12*T2^12 + 672*T1^13*T2^12 - 359*T1^14*T2^12 - 64*T1^15*T2^12 + 
     131*T1^16*T2^12 - 117*T1^5*T2^13 + 192*T1^6*T2^13 + 24*T1^7*T2^13 - 
     444*T1^8*T2^13 + 672*T1^9*T2^13 - 151*T1^10*T2^13 - 151*T1^11*T2^13 + 
     672*T1^12*T2^13 - 444*T1^13*T2^13 + 24*T1^14*T2^13 + 192*T1^15*T2^13 - 
     117*T1^16*T2^13 + 75*T1^6*T2^14 - 196*T1^7*T2^14 + 197*T1^8*T2^14 + 
     24*T1^9*T2^14 - 359*T1^10*T2^14 + 393*T1^11*T2^14 - 359*T1^12*T2^14 + 
     24*T1^13*T2^14 + 197*T1^14*T2^14 - 196*T1^15*T2^14 + 75*T1^16*T2^14 - 
     32*T1^7*T2^15 + 114*T1^8*T2^15 - 196*T1^9*T2^15 + 192*T1^10*T2^15 - 
     64*T1^11*T2^15 - 64*T1^12*T2^15 + 192*T1^13*T2^15 - 196*T1^14*T2^15 + 
     114*T1^15*T2^15 - 32*T1^16*T2^15 + 7*T1^8*T2^16 - 32*T1^9*T2^16 + 
     75*T1^10*T2^16 - 117*T1^11*T2^16 + 131*T1^12*T2^16 - 117*T1^13*T2^16 + 
     75*T1^14*T2^16 - 32*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 
   -((1 - 5*T1 + 12*T1^2 - 19*T1^3 + 23*T1^4 - 19*T1^5 + 12*T1^6 - 5*T1^7 + 
      T1^8 - 5*T2 + 20*T1*T2 - 35*T1^2*T2 + 35*T1^3*T2 - 20*T1^4*T2 - 
      20*T1^5*T2 + 35*T1^6*T2 - 35*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
      12*T2^2 - 35*T1*T2^2 + 29*T1^2*T2^2 + 11*T1^3*T2^2 - 28*T1^4*T2^2 + 
      73*T1^5*T2^2 - 28*T1^6*T2^2 + 11*T1^7*T2^2 + 29*T1^8*T2^2 - 
      35*T1^9*T2^2 + 12*T1^10*T2^2 - 19*T2^3 + 35*T1*T2^3 + 11*T1^2*T2^3 - 
      28*T1^3*T2^3 - 94*T1^4*T2^3 + 4*T1^5*T2^3 + 4*T1^6*T2^3 - 
      94*T1^7*T2^3 - 28*T1^8*T2^3 + 11*T1^9*T2^3 + 35*T1^10*T2^3 - 
      19*T1^11*T2^3 + 23*T2^4 - 20*T1*T2^4 - 28*T1^2*T2^4 - 94*T1^3*T2^4 + 
      303*T1^4*T2^4 + 283*T1^5*T2^4 - 409*T1^6*T2^4 + 283*T1^7*T2^4 + 
      303*T1^8*T2^4 - 94*T1^9*T2^4 - 28*T1^10*T2^4 - 20*T1^11*T2^4 + 
      23*T1^12*T2^4 - 19*T2^5 - 20*T1*T2^5 + 73*T1^2*T2^5 + 4*T1^3*T2^5 + 
      283*T1^4*T2^5 - 1618*T1^5*T2^5 + 677*T1^6*T2^5 + 677*T1^7*T2^5 - 
      1618*T1^8*T2^5 + 283*T1^9*T2^5 + 4*T1^10*T2^5 + 73*T1^11*T2^5 - 
      20*T1^12*T2^5 - 19*T1^13*T2^5 + 12*T2^6 + 35*T1*T2^6 - 28*T1^2*T2^6 + 
      4*T1^3*T2^6 - 409*T1^4*T2^6 + 677*T1^5*T2^6 + 3053*T1^6*T2^6 - 
      4371*T1^7*T2^6 + 3053*T1^8*T2^6 + 677*T1^9*T2^6 - 409*T1^10*T2^6 + 
      4*T1^11*T2^6 - 28*T1^12*T2^6 + 35*T1^13*T2^6 + 12*T1^14*T2^6 - 5*T2^7 - 
      35*T1*T2^7 + 11*T1^2*T2^7 - 94*T1^3*T2^7 + 283*T1^4*T2^7 + 
      677*T1^5*T2^7 - 4371*T1^6*T2^7 + 1850*T1^7*T2^7 + 1850*T1^8*T2^7 - 
      4371*T1^9*T2^7 + 677*T1^10*T2^7 + 283*T1^11*T2^7 - 94*T1^12*T2^7 + 
      11*T1^13*T2^7 - 35*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 
      29*T1^2*T2^8 - 28*T1^3*T2^8 + 303*T1^4*T2^8 - 1618*T1^5*T2^8 + 
      3053*T1^6*T2^8 + 1850*T1^7*T2^8 - 3408*T1^8*T2^8 + 1850*T1^9*T2^8 + 
      3053*T1^10*T2^8 - 1618*T1^11*T2^8 + 303*T1^12*T2^8 - 28*T1^13*T2^8 + 
      29*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 35*T1^2*T2^9 + 
      11*T1^3*T2^9 - 94*T1^4*T2^9 + 283*T1^5*T2^9 + 677*T1^6*T2^9 - 
      4371*T1^7*T2^9 + 1850*T1^8*T2^9 + 1850*T1^9*T2^9 - 4371*T1^10*T2^9 + 
      677*T1^11*T2^9 + 283*T1^12*T2^9 - 94*T1^13*T2^9 + 11*T1^14*T2^9 - 
      35*T1^15*T2^9 - 5*T1^16*T2^9 + 12*T1^2*T2^10 + 35*T1^3*T2^10 - 
      28*T1^4*T2^10 + 4*T1^5*T2^10 - 409*T1^6*T2^10 + 677*T1^7*T2^10 + 
      3053*T1^8*T2^10 - 4371*T1^9*T2^10 + 3053*T1^10*T2^10 + 
      677*T1^11*T2^10 - 409*T1^12*T2^10 + 4*T1^13*T2^10 - 28*T1^14*T2^10 + 
      35*T1^15*T2^10 + 12*T1^16*T2^10 - 19*T1^3*T2^11 - 20*T1^4*T2^11 + 
      73*T1^5*T2^11 + 4*T1^6*T2^11 + 283*T1^7*T2^11 - 1618*T1^8*T2^11 + 
      677*T1^9*T2^11 + 677*T1^10*T2^11 - 1618*T1^11*T2^11 + 283*T1^12*T2^11 + 
      4*T1^13*T2^11 + 73*T1^14*T2^11 - 20*T1^15*T2^11 - 19*T1^16*T2^11 + 
      23*T1^4*T2^12 - 20*T1^5*T2^12 - 28*T1^6*T2^12 - 94*T1^7*T2^12 + 
      303*T1^8*T2^12 + 283*T1^9*T2^12 - 409*T1^10*T2^12 + 283*T1^11*T2^12 + 
      303*T1^12*T2^12 - 94*T1^13*T2^12 - 28*T1^14*T2^12 - 20*T1^15*T2^12 + 
      23*T1^16*T2^12 - 19*T1^5*T2^13 + 35*T1^6*T2^13 + 11*T1^7*T2^13 - 
      28*T1^8*T2^13 - 94*T1^9*T2^13 + 4*T1^10*T2^13 + 4*T1^11*T2^13 - 
      94*T1^12*T2^13 - 28*T1^13*T2^13 + 11*T1^14*T2^13 + 35*T1^15*T2^13 - 
      19*T1^16*T2^13 + 12*T1^6*T2^14 - 35*T1^7*T2^14 + 29*T1^8*T2^14 + 
      11*T1^9*T2^14 - 28*T1^10*T2^14 + 73*T1^11*T2^14 - 28*T1^12*T2^14 + 
      11*T1^13*T2^14 + 29*T1^14*T2^14 - 35*T1^15*T2^14 + 12*T1^16*T2^14 - 
      5*T1^7*T2^15 + 20*T1^8*T2^15 - 35*T1^9*T2^15 + 35*T1^10*T2^15 - 
      20*T1^11*T2^15 - 20*T1^12*T2^15 + 35*T1^13*T2^15 - 35*T1^14*T2^15 + 
      20*T1^15*T2^15 - 5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 
      12*T1^10*T2^16 - 19*T1^11*T2^16 + 23*T1^12*T2^16 - 19*T1^13*T2^16 + 
      12*T1^14*T2^16 - 5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, (1 - 4*T1 + 9*T1^2 - 16*T1^3 + 23*T1^4 - 25*T1^5 + 
     23*T1^6 - 16*T1^7 + 9*T1^8 - 4*T1^9 + T1^10 - 4*T2 + 12*T1*T2 - 
     20*T1^2*T2 + 28*T1^3*T2 - 28*T1^4*T2 + 8*T1^5*T2 + 8*T1^6*T2 - 
     28*T1^7*T2 + 28*T1^8*T2 - 20*T1^9*T2 + 12*T1^10*T2 - 4*T1^11*T2 + 
     9*T2^2 - 20*T1*T2^2 + 25*T1^2*T2^2 - 33*T1^3*T2^2 + 26*T1^4*T2^2 + 
     11*T1^5*T2^2 - 3*T1^6*T2^2 + 11*T1^7*T2^2 + 26*T1^8*T2^2 - 
     33*T1^9*T2^2 + 25*T1^10*T2^2 - 20*T1^11*T2^2 + 9*T1^12*T2^2 - 16*T2^3 + 
     28*T1*T2^3 - 33*T1^2*T2^3 + 54*T1^3*T2^3 - 42*T1^4*T2^3 - 19*T1^5*T2^3 - 
     21*T1^6*T2^3 - 21*T1^7*T2^3 - 19*T1^8*T2^3 - 42*T1^9*T2^3 + 
     54*T1^10*T2^3 - 33*T1^11*T2^3 + 28*T1^12*T2^3 - 16*T1^13*T2^3 + 
     23*T2^4 - 28*T1*T2^4 + 26*T1^2*T2^4 - 42*T1^3*T2^4 - 20*T1^4*T2^4 + 
     136*T1^5*T2^4 - 52*T1^6*T2^4 + 146*T1^7*T2^4 - 52*T1^8*T2^4 + 
     136*T1^9*T2^4 - 20*T1^10*T2^4 - 42*T1^11*T2^4 + 26*T1^12*T2^4 - 
     28*T1^13*T2^4 + 23*T1^14*T2^4 - 25*T2^5 + 8*T1*T2^5 + 11*T1^2*T2^5 - 
     19*T1^3*T2^5 + 136*T1^4*T2^5 - 226*T1^5*T2^5 + T1^6*T2^5 - 
     109*T1^7*T2^5 - 109*T1^8*T2^5 + T1^9*T2^5 - 226*T1^10*T2^5 + 
     136*T1^11*T2^5 - 19*T1^12*T2^5 + 11*T1^13*T2^5 + 8*T1^14*T2^5 - 
     25*T1^15*T2^5 + 23*T2^6 + 8*T1*T2^6 - 3*T1^2*T2^6 - 21*T1^3*T2^6 - 
     52*T1^4*T2^6 + T1^5*T2^6 + 302*T1^6*T2^6 - 43*T1^7*T2^6 + 
     284*T1^8*T2^6 - 43*T1^9*T2^6 + 302*T1^10*T2^6 + T1^11*T2^6 - 
     52*T1^12*T2^6 - 21*T1^13*T2^6 - 3*T1^14*T2^6 + 8*T1^15*T2^6 + 
     23*T1^16*T2^6 - 16*T2^7 - 28*T1*T2^7 + 11*T1^2*T2^7 - 21*T1^3*T2^7 + 
     146*T1^4*T2^7 - 109*T1^5*T2^7 - 43*T1^6*T2^7 - 350*T1^7*T2^7 - 
     83*T1^8*T2^7 - 83*T1^9*T2^7 - 350*T1^10*T2^7 - 43*T1^11*T2^7 - 
     109*T1^12*T2^7 + 146*T1^13*T2^7 - 21*T1^14*T2^7 + 11*T1^15*T2^7 - 
     28*T1^16*T2^7 - 16*T1^17*T2^7 + 9*T2^8 + 28*T1*T2^8 + 26*T1^2*T2^8 - 
     19*T1^3*T2^8 - 52*T1^4*T2^8 - 109*T1^5*T2^8 + 284*T1^6*T2^8 - 
     83*T1^7*T2^8 + 800*T1^8*T2^8 - 560*T1^9*T2^8 + 800*T1^10*T2^8 - 
     83*T1^11*T2^8 + 284*T1^12*T2^8 - 109*T1^13*T2^8 - 52*T1^14*T2^8 - 
     19*T1^15*T2^8 + 26*T1^16*T2^8 + 28*T1^17*T2^8 + 9*T1^18*T2^8 - 4*T2^9 - 
     20*T1*T2^9 - 33*T1^2*T2^9 - 42*T1^3*T2^9 + 136*T1^4*T2^9 + T1^5*T2^9 - 
     43*T1^6*T2^9 - 83*T1^7*T2^9 - 560*T1^8*T2^9 - 24*T1^9*T2^9 - 
     24*T1^10*T2^9 - 560*T1^11*T2^9 - 83*T1^12*T2^9 - 43*T1^13*T2^9 + 
     T1^14*T2^9 + 136*T1^15*T2^9 - 42*T1^16*T2^9 - 33*T1^17*T2^9 - 
     20*T1^18*T2^9 - 4*T1^19*T2^9 + T2^10 + 12*T1*T2^10 + 25*T1^2*T2^10 + 
     54*T1^3*T2^10 - 20*T1^4*T2^10 - 226*T1^5*T2^10 + 302*T1^6*T2^10 - 
     350*T1^7*T2^10 + 800*T1^8*T2^10 - 24*T1^9*T2^10 + 240*T1^10*T2^10 - 
     24*T1^11*T2^10 + 800*T1^12*T2^10 - 350*T1^13*T2^10 + 302*T1^14*T2^10 - 
     226*T1^15*T2^10 - 20*T1^16*T2^10 + 54*T1^17*T2^10 + 25*T1^18*T2^10 + 
     12*T1^19*T2^10 + T1^20*T2^10 - 4*T1*T2^11 - 20*T1^2*T2^11 - 
     33*T1^3*T2^11 - 42*T1^4*T2^11 + 136*T1^5*T2^11 + T1^6*T2^11 - 
     43*T1^7*T2^11 - 83*T1^8*T2^11 - 560*T1^9*T2^11 - 24*T1^10*T2^11 - 
     24*T1^11*T2^11 - 560*T1^12*T2^11 - 83*T1^13*T2^11 - 43*T1^14*T2^11 + 
     T1^15*T2^11 + 136*T1^16*T2^11 - 42*T1^17*T2^11 - 33*T1^18*T2^11 - 
     20*T1^19*T2^11 - 4*T1^20*T2^11 + 9*T1^2*T2^12 + 28*T1^3*T2^12 + 
     26*T1^4*T2^12 - 19*T1^5*T2^12 - 52*T1^6*T2^12 - 109*T1^7*T2^12 + 
     284*T1^8*T2^12 - 83*T1^9*T2^12 + 800*T1^10*T2^12 - 560*T1^11*T2^12 + 
     800*T1^12*T2^12 - 83*T1^13*T2^12 + 284*T1^14*T2^12 - 109*T1^15*T2^12 - 
     52*T1^16*T2^12 - 19*T1^17*T2^12 + 26*T1^18*T2^12 + 28*T1^19*T2^12 + 
     9*T1^20*T2^12 - 16*T1^3*T2^13 - 28*T1^4*T2^13 + 11*T1^5*T2^13 - 
     21*T1^6*T2^13 + 146*T1^7*T2^13 - 109*T1^8*T2^13 - 43*T1^9*T2^13 - 
     350*T1^10*T2^13 - 83*T1^11*T2^13 - 83*T1^12*T2^13 - 350*T1^13*T2^13 - 
     43*T1^14*T2^13 - 109*T1^15*T2^13 + 146*T1^16*T2^13 - 21*T1^17*T2^13 + 
     11*T1^18*T2^13 - 28*T1^19*T2^13 - 16*T1^20*T2^13 + 23*T1^4*T2^14 + 
     8*T1^5*T2^14 - 3*T1^6*T2^14 - 21*T1^7*T2^14 - 52*T1^8*T2^14 + 
     T1^9*T2^14 + 302*T1^10*T2^14 - 43*T1^11*T2^14 + 284*T1^12*T2^14 - 
     43*T1^13*T2^14 + 302*T1^14*T2^14 + T1^15*T2^14 - 52*T1^16*T2^14 - 
     21*T1^17*T2^14 - 3*T1^18*T2^14 + 8*T1^19*T2^14 + 23*T1^20*T2^14 - 
     25*T1^5*T2^15 + 8*T1^6*T2^15 + 11*T1^7*T2^15 - 19*T1^8*T2^15 + 
     136*T1^9*T2^15 - 226*T1^10*T2^15 + T1^11*T2^15 - 109*T1^12*T2^15 - 
     109*T1^13*T2^15 + T1^14*T2^15 - 226*T1^15*T2^15 + 136*T1^16*T2^15 - 
     19*T1^17*T2^15 + 11*T1^18*T2^15 + 8*T1^19*T2^15 - 25*T1^20*T2^15 + 
     23*T1^6*T2^16 - 28*T1^7*T2^16 + 26*T1^8*T2^16 - 42*T1^9*T2^16 - 
     20*T1^10*T2^16 + 136*T1^11*T2^16 - 52*T1^12*T2^16 + 146*T1^13*T2^16 - 
     52*T1^14*T2^16 + 136*T1^15*T2^16 - 20*T1^16*T2^16 - 42*T1^17*T2^16 + 
     26*T1^18*T2^16 - 28*T1^19*T2^16 + 23*T1^20*T2^16 - 16*T1^7*T2^17 + 
     28*T1^8*T2^17 - 33*T1^9*T2^17 + 54*T1^10*T2^17 - 42*T1^11*T2^17 - 
     19*T1^12*T2^17 - 21*T1^13*T2^17 - 21*T1^14*T2^17 - 19*T1^15*T2^17 - 
     42*T1^16*T2^17 + 54*T1^17*T2^17 - 33*T1^18*T2^17 + 28*T1^19*T2^17 - 
     16*T1^20*T2^17 + 9*T1^8*T2^18 - 20*T1^9*T2^18 + 25*T1^10*T2^18 - 
     33*T1^11*T2^18 + 26*T1^12*T2^18 + 11*T1^13*T2^18 - 3*T1^14*T2^18 + 
     11*T1^15*T2^18 + 26*T1^16*T2^18 - 33*T1^17*T2^18 + 25*T1^18*T2^18 - 
     20*T1^19*T2^18 + 9*T1^20*T2^18 - 4*T1^9*T2^19 + 12*T1^10*T2^19 - 
     20*T1^11*T2^19 + 28*T1^12*T2^19 - 28*T1^13*T2^19 + 8*T1^14*T2^19 + 
     8*T1^15*T2^19 - 28*T1^16*T2^19 + 28*T1^17*T2^19 - 20*T1^18*T2^19 + 
     12*T1^19*T2^19 - 4*T1^20*T2^19 + T1^10*T2^20 - 4*T1^11*T2^20 + 
     9*T1^12*T2^20 - 16*T1^13*T2^20 + 23*T1^14*T2^20 - 25*T1^15*T2^20 + 
     23*T1^16*T2^20 - 16*T1^17*T2^20 + 9*T1^18*T2^20 - 4*T1^19*T2^20 + 
     T1^20*T2^20)/(T1^10*T2^10)}, 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, (1 - 4*T1 + 9*T1^2 - 15*T1^3 + 19*T1^4 - 15*T1^5 + 9*T1^6 - 4*T1^7 + 
     T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 24*T1^3*T2 - 16*T1^4*T2 - 
     16*T1^5*T2 + 24*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 9*T2^2 - 
     20*T1*T2^2 + 24*T1^2*T2^2 - 29*T1^3*T2^2 + 36*T1^4*T2^2 - 8*T1^5*T2^2 + 
     36*T1^6*T2^2 - 29*T1^7*T2^2 + 24*T1^8*T2^2 - 20*T1^9*T2^2 + 
     9*T1^10*T2^2 - 15*T2^3 + 24*T1*T2^3 - 29*T1^2*T2^3 + 74*T1^3*T2^3 - 
     131*T1^4*T2^3 + 28*T1^5*T2^3 + 28*T1^6*T2^3 - 131*T1^7*T2^3 + 
     74*T1^8*T2^3 - 29*T1^9*T2^3 + 24*T1^10*T2^3 - 15*T1^11*T2^3 + 19*T2^4 - 
     16*T1*T2^4 + 36*T1^2*T2^4 - 131*T1^3*T2^4 + 137*T1^4*T2^4 + 
     233*T1^5*T2^4 - 291*T1^6*T2^4 + 233*T1^7*T2^4 + 137*T1^8*T2^4 - 
     131*T1^9*T2^4 + 36*T1^10*T2^4 - 16*T1^11*T2^4 + 19*T1^12*T2^4 - 
     15*T2^5 - 16*T1*T2^5 - 8*T1^2*T2^5 + 28*T1^3*T2^5 + 233*T1^4*T2^5 - 
     738*T1^5*T2^5 + 216*T1^6*T2^5 + 216*T1^7*T2^5 - 738*T1^8*T2^5 + 
     233*T1^9*T2^5 + 28*T1^10*T2^5 - 8*T1^11*T2^5 - 16*T1^12*T2^5 - 
     15*T1^13*T2^5 + 9*T2^6 + 24*T1*T2^6 + 36*T1^2*T2^6 + 28*T1^3*T2^6 - 
     291*T1^4*T2^6 + 216*T1^5*T2^6 + 999*T1^6*T2^6 - 961*T1^7*T2^6 + 
     999*T1^8*T2^6 + 216*T1^9*T2^6 - 291*T1^10*T2^6 + 28*T1^11*T2^6 + 
     36*T1^12*T2^6 + 24*T1^13*T2^6 + 9*T1^14*T2^6 - 4*T2^7 - 20*T1*T2^7 - 
     29*T1^2*T2^7 - 131*T1^3*T2^7 + 233*T1^4*T2^7 + 216*T1^5*T2^7 - 
     961*T1^6*T2^7 - 72*T1^7*T2^7 - 72*T1^8*T2^7 - 961*T1^9*T2^7 + 
     216*T1^10*T2^7 + 233*T1^11*T2^7 - 131*T1^12*T2^7 - 29*T1^13*T2^7 - 
     20*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 24*T1^2*T2^8 + 
     74*T1^3*T2^8 + 137*T1^4*T2^8 - 738*T1^5*T2^8 + 999*T1^6*T2^8 - 
     72*T1^7*T2^8 + 852*T1^8*T2^8 - 72*T1^9*T2^8 + 999*T1^10*T2^8 - 
     738*T1^11*T2^8 + 137*T1^12*T2^8 + 74*T1^13*T2^8 + 24*T1^14*T2^8 + 
     12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 20*T1^2*T2^9 - 29*T1^3*T2^9 - 
     131*T1^4*T2^9 + 233*T1^5*T2^9 + 216*T1^6*T2^9 - 961*T1^7*T2^9 - 
     72*T1^8*T2^9 - 72*T1^9*T2^9 - 961*T1^10*T2^9 + 216*T1^11*T2^9 + 
     233*T1^12*T2^9 - 131*T1^13*T2^9 - 29*T1^14*T2^9 - 20*T1^15*T2^9 - 
     4*T1^16*T2^9 + 9*T1^2*T2^10 + 24*T1^3*T2^10 + 36*T1^4*T2^10 + 
     28*T1^5*T2^10 - 291*T1^6*T2^10 + 216*T1^7*T2^10 + 999*T1^8*T2^10 - 
     961*T1^9*T2^10 + 999*T1^10*T2^10 + 216*T1^11*T2^10 - 291*T1^12*T2^10 + 
     28*T1^13*T2^10 + 36*T1^14*T2^10 + 24*T1^15*T2^10 + 9*T1^16*T2^10 - 
     15*T1^3*T2^11 - 16*T1^4*T2^11 - 8*T1^5*T2^11 + 28*T1^6*T2^11 + 
     233*T1^7*T2^11 - 738*T1^8*T2^11 + 216*T1^9*T2^11 + 216*T1^10*T2^11 - 
     738*T1^11*T2^11 + 233*T1^12*T2^11 + 28*T1^13*T2^11 - 8*T1^14*T2^11 - 
     16*T1^15*T2^11 - 15*T1^16*T2^11 + 19*T1^4*T2^12 - 16*T1^5*T2^12 + 
     36*T1^6*T2^12 - 131*T1^7*T2^12 + 137*T1^8*T2^12 + 233*T1^9*T2^12 - 
     291*T1^10*T2^12 + 233*T1^11*T2^12 + 137*T1^12*T2^12 - 131*T1^13*T2^12 + 
     36*T1^14*T2^12 - 16*T1^15*T2^12 + 19*T1^16*T2^12 - 15*T1^5*T2^13 + 
     24*T1^6*T2^13 - 29*T1^7*T2^13 + 74*T1^8*T2^13 - 131*T1^9*T2^13 + 
     28*T1^10*T2^13 + 28*T1^11*T2^13 - 131*T1^12*T2^13 + 74*T1^13*T2^13 - 
     29*T1^14*T2^13 + 24*T1^15*T2^13 - 15*T1^16*T2^13 + 9*T1^6*T2^14 - 
     20*T1^7*T2^14 + 24*T1^8*T2^14 - 29*T1^9*T2^14 + 36*T1^10*T2^14 - 
     8*T1^11*T2^14 + 36*T1^12*T2^14 - 29*T1^13*T2^14 + 24*T1^14*T2^14 - 
     20*T1^15*T2^14 + 9*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 
     20*T1^9*T2^15 + 24*T1^10*T2^15 - 16*T1^11*T2^15 - 16*T1^12*T2^15 + 
     24*T1^13*T2^15 - 20*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + 
     T1^8*T2^16 - 4*T1^9*T2^16 + 9*T1^10*T2^16 - 15*T1^11*T2^16 + 
     19*T1^12*T2^16 - 15*T1^13*T2^16 + 9*T1^14*T2^16 - 4*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, 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, (15 - 60*T1 + 104*T1^2 - 118*T1^3 + 125*T1^4 - 118*T1^5 + 104*T1^6 - 
     60*T1^7 + 15*T1^8 - 60*T2 + 180*T1*T2 - 176*T1^2*T2 + 56*T1^3*T2 - 
     28*T1^4*T2 - 28*T1^5*T2 + 56*T1^6*T2 - 176*T1^7*T2 + 180*T1^8*T2 - 
     60*T1^9*T2 + 104*T2^2 - 176*T1*T2^2 - 146*T1^2*T2^2 + 471*T1^3*T2^2 - 
     372*T1^4*T2^2 + 438*T1^5*T2^2 - 372*T1^6*T2^2 + 471*T1^7*T2^2 - 
     146*T1^8*T2^2 - 176*T1^9*T2^2 + 104*T1^10*T2^2 - 118*T2^3 + 56*T1*T2^3 + 
     471*T1^2*T2^3 - 522*T1^3*T2^3 - 11*T1^4*T2^3 - 94*T1^5*T2^3 - 
     94*T1^6*T2^3 - 11*T1^7*T2^3 - 522*T1^8*T2^3 + 471*T1^9*T2^3 + 
     56*T1^10*T2^3 - 118*T1^11*T2^3 + 125*T2^4 - 28*T1*T2^4 - 372*T1^2*T2^4 - 
     11*T1^3*T2^4 + 619*T1^4*T2^4 - 205*T1^5*T2^4 + 429*T1^6*T2^4 - 
     205*T1^7*T2^4 + 619*T1^8*T2^4 - 11*T1^9*T2^4 - 372*T1^10*T2^4 - 
     28*T1^11*T2^4 + 125*T1^12*T2^4 - 118*T2^5 - 28*T1*T2^5 + 438*T1^2*T2^5 - 
     94*T1^3*T2^5 - 205*T1^4*T2^5 - 336*T1^5*T2^5 - 92*T1^6*T2^5 - 
     92*T1^7*T2^5 - 336*T1^8*T2^5 - 205*T1^9*T2^5 - 94*T1^10*T2^5 + 
     438*T1^11*T2^5 - 28*T1^12*T2^5 - 118*T1^13*T2^5 + 104*T2^6 + 
     56*T1*T2^6 - 372*T1^2*T2^6 - 94*T1^3*T2^6 + 429*T1^4*T2^6 - 
     92*T1^5*T2^6 + 646*T1^6*T2^6 - 396*T1^7*T2^6 + 646*T1^8*T2^6 - 
     92*T1^9*T2^6 + 429*T1^10*T2^6 - 94*T1^11*T2^6 - 372*T1^12*T2^6 + 
     56*T1^13*T2^6 + 104*T1^14*T2^6 - 60*T2^7 - 176*T1*T2^7 + 471*T1^2*T2^7 - 
     11*T1^3*T2^7 - 205*T1^4*T2^7 - 92*T1^5*T2^7 - 396*T1^6*T2^7 - 
     14*T1^7*T2^7 - 14*T1^8*T2^7 - 396*T1^9*T2^7 - 92*T1^10*T2^7 - 
     205*T1^11*T2^7 - 11*T1^12*T2^7 + 471*T1^13*T2^7 - 176*T1^14*T2^7 - 
     60*T1^15*T2^7 + 15*T2^8 + 180*T1*T2^8 - 146*T1^2*T2^8 - 522*T1^3*T2^8 + 
     619*T1^4*T2^8 - 336*T1^5*T2^8 + 646*T1^6*T2^8 - 14*T1^7*T2^8 + 
     72*T1^8*T2^8 - 14*T1^9*T2^8 + 646*T1^10*T2^8 - 336*T1^11*T2^8 + 
     619*T1^12*T2^8 - 522*T1^13*T2^8 - 146*T1^14*T2^8 + 180*T1^15*T2^8 + 
     15*T1^16*T2^8 - 60*T1*T2^9 - 176*T1^2*T2^9 + 471*T1^3*T2^9 - 
     11*T1^4*T2^9 - 205*T1^5*T2^9 - 92*T1^6*T2^9 - 396*T1^7*T2^9 - 
     14*T1^8*T2^9 - 14*T1^9*T2^9 - 396*T1^10*T2^9 - 92*T1^11*T2^9 - 
     205*T1^12*T2^9 - 11*T1^13*T2^9 + 471*T1^14*T2^9 - 176*T1^15*T2^9 - 
     60*T1^16*T2^9 + 104*T1^2*T2^10 + 56*T1^3*T2^10 - 372*T1^4*T2^10 - 
     94*T1^5*T2^10 + 429*T1^6*T2^10 - 92*T1^7*T2^10 + 646*T1^8*T2^10 - 
     396*T1^9*T2^10 + 646*T1^10*T2^10 - 92*T1^11*T2^10 + 429*T1^12*T2^10 - 
     94*T1^13*T2^10 - 372*T1^14*T2^10 + 56*T1^15*T2^10 + 104*T1^16*T2^10 - 
     118*T1^3*T2^11 - 28*T1^4*T2^11 + 438*T1^5*T2^11 - 94*T1^6*T2^11 - 
     205*T1^7*T2^11 - 336*T1^8*T2^11 - 92*T1^9*T2^11 - 92*T1^10*T2^11 - 
     336*T1^11*T2^11 - 205*T1^12*T2^11 - 94*T1^13*T2^11 + 438*T1^14*T2^11 - 
     28*T1^15*T2^11 - 118*T1^16*T2^11 + 125*T1^4*T2^12 - 28*T1^5*T2^12 - 
     372*T1^6*T2^12 - 11*T1^7*T2^12 + 619*T1^8*T2^12 - 205*T1^9*T2^12 + 
     429*T1^10*T2^12 - 205*T1^11*T2^12 + 619*T1^12*T2^12 - 11*T1^13*T2^12 - 
     372*T1^14*T2^12 - 28*T1^15*T2^12 + 125*T1^16*T2^12 - 118*T1^5*T2^13 + 
     56*T1^6*T2^13 + 471*T1^7*T2^13 - 522*T1^8*T2^13 - 11*T1^9*T2^13 - 
     94*T1^10*T2^13 - 94*T1^11*T2^13 - 11*T1^12*T2^13 - 522*T1^13*T2^13 + 
     471*T1^14*T2^13 + 56*T1^15*T2^13 - 118*T1^16*T2^13 + 104*T1^6*T2^14 - 
     176*T1^7*T2^14 - 146*T1^8*T2^14 + 471*T1^9*T2^14 - 372*T1^10*T2^14 + 
     438*T1^11*T2^14 - 372*T1^12*T2^14 + 471*T1^13*T2^14 - 146*T1^14*T2^14 - 
     176*T1^15*T2^14 + 104*T1^16*T2^14 - 60*T1^7*T2^15 + 180*T1^8*T2^15 - 
     176*T1^9*T2^15 + 56*T1^10*T2^15 - 28*T1^11*T2^15 - 28*T1^12*T2^15 + 
     56*T1^13*T2^15 - 176*T1^14*T2^15 + 180*T1^15*T2^15 - 60*T1^16*T2^15 + 
     15*T1^8*T2^16 - 60*T1^9*T2^16 + 104*T1^10*T2^16 - 118*T1^11*T2^16 + 
     125*T1^12*T2^16 - 118*T1^13*T2^16 + 104*T1^14*T2^16 - 60*T1^15*T2^16 + 
     15*T1^16*T2^16)/(T1^8*T2^8)}, Knot[12, Alternating, 1241] -> 
  {(4 - 18*T + 35*T^2 - 41*T^3 + 35*T^4 - 18*T^5 + 4*T^6)/T^3, 
   (64 - 284*T1 + 540*T1^2 - 624*T1^3 + 540*T1^4 - 284*T1^5 + 64*T1^6 - 
     284*T2 + 978*T1*T2 - 1140*T1^2*T2 + 376*T1^3*T2 + 376*T1^4*T2 - 
     1140*T1^5*T2 + 978*T1^6*T2 - 284*T1^7*T2 + 540*T2^2 - 1140*T1*T2^2 - 
     563*T1^2*T2^2 + 3254*T1^3*T2^2 - 3643*T1^4*T2^2 + 3254*T1^5*T2^2 - 
     563*T1^6*T2^2 - 1140*T1^7*T2^2 + 540*T1^8*T2^2 - 624*T2^3 + 
     376*T1*T2^3 + 3254*T1^2*T2^3 - 4962*T1^3*T2^3 + 1341*T1^4*T2^3 + 
     1341*T1^5*T2^3 - 4962*T1^6*T2^3 + 3254*T1^7*T2^3 + 376*T1^8*T2^3 - 
     624*T1^9*T2^3 + 540*T2^4 + 376*T1*T2^4 - 3643*T1^2*T2^4 + 
     1341*T1^3*T2^4 + 5468*T1^4*T2^4 - 6234*T1^5*T2^4 + 5468*T1^6*T2^4 + 
     1341*T1^7*T2^4 - 3643*T1^8*T2^4 + 376*T1^9*T2^4 + 540*T1^10*T2^4 - 
     284*T2^5 - 1140*T1*T2^5 + 3254*T1^2*T2^5 + 1341*T1^3*T2^5 - 
     6234*T1^4*T2^5 + 1888*T1^5*T2^5 + 1888*T1^6*T2^5 - 6234*T1^7*T2^5 + 
     1341*T1^8*T2^5 + 3254*T1^9*T2^5 - 1140*T1^10*T2^5 - 284*T1^11*T2^5 + 
     64*T2^6 + 978*T1*T2^6 - 563*T1^2*T2^6 - 4962*T1^3*T2^6 + 
     5468*T1^4*T2^6 + 1888*T1^5*T2^6 - 3276*T1^6*T2^6 + 1888*T1^7*T2^6 + 
     5468*T1^8*T2^6 - 4962*T1^9*T2^6 - 563*T1^10*T2^6 + 978*T1^11*T2^6 + 
     64*T1^12*T2^6 - 284*T1*T2^7 - 1140*T1^2*T2^7 + 3254*T1^3*T2^7 + 
     1341*T1^4*T2^7 - 6234*T1^5*T2^7 + 1888*T1^6*T2^7 + 1888*T1^7*T2^7 - 
     6234*T1^8*T2^7 + 1341*T1^9*T2^7 + 3254*T1^10*T2^7 - 1140*T1^11*T2^7 - 
     284*T1^12*T2^7 + 540*T1^2*T2^8 + 376*T1^3*T2^8 - 3643*T1^4*T2^8 + 
     1341*T1^5*T2^8 + 5468*T1^6*T2^8 - 6234*T1^7*T2^8 + 5468*T1^8*T2^8 + 
     1341*T1^9*T2^8 - 3643*T1^10*T2^8 + 376*T1^11*T2^8 + 540*T1^12*T2^8 - 
     624*T1^3*T2^9 + 376*T1^4*T2^9 + 3254*T1^5*T2^9 - 4962*T1^6*T2^9 + 
     1341*T1^7*T2^9 + 1341*T1^8*T2^9 - 4962*T1^9*T2^9 + 3254*T1^10*T2^9 + 
     376*T1^11*T2^9 - 624*T1^12*T2^9 + 540*T1^4*T2^10 - 1140*T1^5*T2^10 - 
     563*T1^6*T2^10 + 3254*T1^7*T2^10 - 3643*T1^8*T2^10 + 3254*T1^9*T2^10 - 
     563*T1^10*T2^10 - 1140*T1^11*T2^10 + 540*T1^12*T2^10 - 284*T1^5*T2^11 + 
     978*T1^6*T2^11 - 1140*T1^7*T2^11 + 376*T1^8*T2^11 + 376*T1^9*T2^11 - 
     1140*T1^10*T2^11 + 978*T1^11*T2^11 - 284*T1^12*T2^11 + 64*T1^6*T2^12 - 
     284*T1^7*T2^12 + 540*T1^8*T2^12 - 624*T1^9*T2^12 + 540*T1^10*T2^12 - 
     284*T1^11*T2^12 + 64*T1^12*T2^12)/(T1^6*T2^6)}, 
 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), 
   -((23 - 57*T1 + 68*T1^2 - 79*T1^3 + 79*T1^4 - 79*T1^5 + 68*T1^6 - 
      57*T1^7 + 23*T1^8 - 57*T2 + 84*T1*T2 - 27*T1^2*T2 + 27*T1^3*T2 + 
      27*T1^6*T2 - 27*T1^7*T2 + 84*T1^8*T2 - 57*T1^9*T2 + 68*T2^2 - 
      27*T1*T2^2 - 91*T1^2*T2^2 + 42*T1^3*T2^2 - 78*T1^4*T2^2 + 
      49*T1^5*T2^2 - 78*T1^6*T2^2 + 42*T1^7*T2^2 - 91*T1^8*T2^2 - 
      27*T1^9*T2^2 + 68*T1^10*T2^2 - 79*T2^3 + 27*T1*T2^3 + 42*T1^2*T2^3 + 
      68*T1^3*T2^3 + 12*T1^4*T2^3 + 29*T1^5*T2^3 + 29*T1^6*T2^3 + 
      12*T1^7*T2^3 + 68*T1^8*T2^3 + 42*T1^9*T2^3 + 27*T1^10*T2^3 - 
      79*T1^11*T2^3 + 79*T2^4 - 78*T1^2*T2^4 + 12*T1^3*T2^4 - 156*T1^4*T2^4 + 
      88*T1^5*T2^4 - 158*T1^6*T2^4 + 88*T1^7*T2^4 - 156*T1^8*T2^4 + 
      12*T1^9*T2^4 - 78*T1^10*T2^4 + 79*T1^12*T2^4 - 79*T2^5 + 49*T1^2*T2^5 + 
      29*T1^3*T2^5 + 88*T1^4*T2^5 + 34*T1^5*T2^5 + 40*T1^6*T2^5 + 
      40*T1^7*T2^5 + 34*T1^8*T2^5 + 88*T1^9*T2^5 + 29*T1^10*T2^5 + 
      49*T1^11*T2^5 - 79*T1^13*T2^5 + 68*T2^6 + 27*T1*T2^6 - 78*T1^2*T2^6 + 
      29*T1^3*T2^6 - 158*T1^4*T2^6 + 40*T1^5*T2^6 - 139*T1^6*T2^6 + 
      67*T1^7*T2^6 - 139*T1^8*T2^6 + 40*T1^9*T2^6 - 158*T1^10*T2^6 + 
      29*T1^11*T2^6 - 78*T1^12*T2^6 + 27*T1^13*T2^6 + 68*T1^14*T2^6 - 
      57*T2^7 - 27*T1*T2^7 + 42*T1^2*T2^7 + 12*T1^3*T2^7 + 88*T1^4*T2^7 + 
      40*T1^5*T2^7 + 67*T1^6*T2^7 + 18*T1^7*T2^7 + 18*T1^8*T2^7 + 
      67*T1^9*T2^7 + 40*T1^10*T2^7 + 88*T1^11*T2^7 + 12*T1^12*T2^7 + 
      42*T1^13*T2^7 - 27*T1^14*T2^7 - 57*T1^15*T2^7 + 23*T2^8 + 84*T1*T2^8 - 
      91*T1^2*T2^8 + 68*T1^3*T2^8 - 156*T1^4*T2^8 + 34*T1^5*T2^8 - 
      139*T1^6*T2^8 + 18*T1^7*T2^8 - 48*T1^8*T2^8 + 18*T1^9*T2^8 - 
      139*T1^10*T2^8 + 34*T1^11*T2^8 - 156*T1^12*T2^8 + 68*T1^13*T2^8 - 
      91*T1^14*T2^8 + 84*T1^15*T2^8 + 23*T1^16*T2^8 - 57*T1*T2^9 - 
      27*T1^2*T2^9 + 42*T1^3*T2^9 + 12*T1^4*T2^9 + 88*T1^5*T2^9 + 
      40*T1^6*T2^9 + 67*T1^7*T2^9 + 18*T1^8*T2^9 + 18*T1^9*T2^9 + 
      67*T1^10*T2^9 + 40*T1^11*T2^9 + 88*T1^12*T2^9 + 12*T1^13*T2^9 + 
      42*T1^14*T2^9 - 27*T1^15*T2^9 - 57*T1^16*T2^9 + 68*T1^2*T2^10 + 
      27*T1^3*T2^10 - 78*T1^4*T2^10 + 29*T1^5*T2^10 - 158*T1^6*T2^10 + 
      40*T1^7*T2^10 - 139*T1^8*T2^10 + 67*T1^9*T2^10 - 139*T1^10*T2^10 + 
      40*T1^11*T2^10 - 158*T1^12*T2^10 + 29*T1^13*T2^10 - 78*T1^14*T2^10 + 
      27*T1^15*T2^10 + 68*T1^16*T2^10 - 79*T1^3*T2^11 + 49*T1^5*T2^11 + 
      29*T1^6*T2^11 + 88*T1^7*T2^11 + 34*T1^8*T2^11 + 40*T1^9*T2^11 + 
      40*T1^10*T2^11 + 34*T1^11*T2^11 + 88*T1^12*T2^11 + 29*T1^13*T2^11 + 
      49*T1^14*T2^11 - 79*T1^16*T2^11 + 79*T1^4*T2^12 - 78*T1^6*T2^12 + 
      12*T1^7*T2^12 - 156*T1^8*T2^12 + 88*T1^9*T2^12 - 158*T1^10*T2^12 + 
      88*T1^11*T2^12 - 156*T1^12*T2^12 + 12*T1^13*T2^12 - 78*T1^14*T2^12 + 
      79*T1^16*T2^12 - 79*T1^5*T2^13 + 27*T1^6*T2^13 + 42*T1^7*T2^13 + 
      68*T1^8*T2^13 + 12*T1^9*T2^13 + 29*T1^10*T2^13 + 29*T1^11*T2^13 + 
      12*T1^12*T2^13 + 68*T1^13*T2^13 + 42*T1^14*T2^13 + 27*T1^15*T2^13 - 
      79*T1^16*T2^13 + 68*T1^6*T2^14 - 27*T1^7*T2^14 - 91*T1^8*T2^14 + 
      42*T1^9*T2^14 - 78*T1^10*T2^14 + 49*T1^11*T2^14 - 78*T1^12*T2^14 + 
      42*T1^13*T2^14 - 91*T1^14*T2^14 - 27*T1^15*T2^14 + 68*T1^16*T2^14 - 
      57*T1^7*T2^15 + 84*T1^8*T2^15 - 27*T1^9*T2^15 + 27*T1^10*T2^15 + 
      27*T1^13*T2^15 - 27*T1^14*T2^15 + 84*T1^15*T2^15 - 57*T1^16*T2^15 + 
      23*T1^8*T2^16 - 57*T1^9*T2^16 + 68*T1^10*T2^16 - 79*T1^11*T2^16 + 
      79*T1^12*T2^16 - 79*T1^13*T2^16 + 68*T1^14*T2^16 - 57*T1^15*T2^16 + 
      23*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 1243] -> 
  {-((4 - 12*T + 17*T^2 - 19*T^3 + 17*T^4 - 12*T^5 + 4*T^6)/T^3), 
   -((128 - 376*T1 + 524*T1^2 - 584*T1^3 + 524*T1^4 - 376*T1^5 + 128*T1^6 - 
      376*T2 + 728*T1*T2 - 434*T1^2*T2 + 174*T1^3*T2 + 174*T1^4*T2 - 
      434*T1^5*T2 + 728*T1^6*T2 - 376*T1^7*T2 + 524*T2^2 - 434*T1*T2^2 - 
      660*T1^2*T2^2 + 843*T1^3*T2^2 - 1034*T1^4*T2^2 + 843*T1^5*T2^2 - 
      660*T1^6*T2^2 - 434*T1^7*T2^2 + 524*T1^8*T2^2 - 584*T2^3 + 
      174*T1*T2^3 + 843*T1^2*T2^3 - 196*T1^3*T2^3 + 190*T1^4*T2^3 + 
      190*T1^5*T2^3 - 196*T1^6*T2^3 + 843*T1^7*T2^3 + 174*T1^8*T2^3 - 
      584*T1^9*T2^3 + 524*T2^4 + 174*T1*T2^4 - 1034*T1^2*T2^4 + 
      190*T1^3*T2^4 - 608*T1^4*T2^4 + 346*T1^5*T2^4 - 608*T1^6*T2^4 + 
      190*T1^7*T2^4 - 1034*T1^8*T2^4 + 174*T1^9*T2^4 + 524*T1^10*T2^4 - 
      376*T2^5 - 434*T1*T2^5 + 843*T1^2*T2^5 + 190*T1^3*T2^5 + 
      346*T1^4*T2^5 + 102*T1^5*T2^5 + 102*T1^6*T2^5 + 346*T1^7*T2^5 + 
      190*T1^8*T2^5 + 843*T1^9*T2^5 - 434*T1^10*T2^5 - 376*T1^11*T2^5 + 
      128*T2^6 + 728*T1*T2^6 - 660*T1^2*T2^6 - 196*T1^3*T2^6 - 
      608*T1^4*T2^6 + 102*T1^5*T2^6 - 384*T1^6*T2^6 + 102*T1^7*T2^6 - 
      608*T1^8*T2^6 - 196*T1^9*T2^6 - 660*T1^10*T2^6 + 728*T1^11*T2^6 + 
      128*T1^12*T2^6 - 376*T1*T2^7 - 434*T1^2*T2^7 + 843*T1^3*T2^7 + 
      190*T1^4*T2^7 + 346*T1^5*T2^7 + 102*T1^6*T2^7 + 102*T1^7*T2^7 + 
      346*T1^8*T2^7 + 190*T1^9*T2^7 + 843*T1^10*T2^7 - 434*T1^11*T2^7 - 
      376*T1^12*T2^7 + 524*T1^2*T2^8 + 174*T1^3*T2^8 - 1034*T1^4*T2^8 + 
      190*T1^5*T2^8 - 608*T1^6*T2^8 + 346*T1^7*T2^8 - 608*T1^8*T2^8 + 
      190*T1^9*T2^8 - 1034*T1^10*T2^8 + 174*T1^11*T2^8 + 524*T1^12*T2^8 - 
      584*T1^3*T2^9 + 174*T1^4*T2^9 + 843*T1^5*T2^9 - 196*T1^6*T2^9 + 
      190*T1^7*T2^9 + 190*T1^8*T2^9 - 196*T1^9*T2^9 + 843*T1^10*T2^9 + 
      174*T1^11*T2^9 - 584*T1^12*T2^9 + 524*T1^4*T2^10 - 434*T1^5*T2^10 - 
      660*T1^6*T2^10 + 843*T1^7*T2^10 - 1034*T1^8*T2^10 + 843*T1^9*T2^10 - 
      660*T1^10*T2^10 - 434*T1^11*T2^10 + 524*T1^12*T2^10 - 376*T1^5*T2^11 + 
      728*T1^6*T2^11 - 434*T1^7*T2^11 + 174*T1^8*T2^11 + 174*T1^9*T2^11 - 
      434*T1^10*T2^11 + 728*T1^11*T2^11 - 376*T1^12*T2^11 + 128*T1^6*T2^12 - 
      376*T1^7*T2^12 + 524*T1^8*T2^12 - 584*T1^9*T2^12 + 524*T1^10*T2^12 - 
      376*T1^11*T2^12 + 128*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), -((7 - 28*T1 + 56*T1^2 - 76*T1^3 + 79*T1^4 - 76*T1^5 + 56*T1^6 - 
      28*T1^7 + 7*T1^8 - 28*T2 + 84*T1*T2 - 112*T1^2*T2 + 80*T1^3*T2 - 
      12*T1^4*T2 - 12*T1^5*T2 + 80*T1^6*T2 - 112*T1^7*T2 + 84*T1^8*T2 - 
      28*T1^9*T2 + 56*T2^2 - 112*T1*T2^2 + 56*T1^2*T2^2 + 76*T1^3*T2^2 - 
      180*T1^4*T2^2 + 112*T1^5*T2^2 - 180*T1^6*T2^2 + 76*T1^7*T2^2 + 
      56*T1^8*T2^2 - 112*T1^9*T2^2 + 56*T1^10*T2^2 - 76*T2^3 + 80*T1*T2^3 + 
      76*T1^2*T2^3 - 216*T1^3*T2^3 + 220*T1^4*T2^3 + 38*T1^5*T2^3 + 
      38*T1^6*T2^3 + 220*T1^7*T2^3 - 216*T1^8*T2^3 + 76*T1^9*T2^3 + 
      80*T1^10*T2^3 - 76*T1^11*T2^3 + 79*T2^4 - 12*T1*T2^4 - 180*T1^2*T2^4 + 
      220*T1^3*T2^4 - 86*T1^4*T2^4 - 235*T1^5*T2^4 + 4*T1^6*T2^4 - 
      235*T1^7*T2^4 - 86*T1^8*T2^4 + 220*T1^9*T2^4 - 180*T1^10*T2^4 - 
      12*T1^11*T2^4 + 79*T1^12*T2^4 - 76*T2^5 - 12*T1*T2^5 + 112*T1^2*T2^5 + 
      38*T1^3*T2^5 - 235*T1^4*T2^5 + 384*T1^5*T2^5 + 53*T1^6*T2^5 + 
      53*T1^7*T2^5 + 384*T1^8*T2^5 - 235*T1^9*T2^5 + 38*T1^10*T2^5 + 
      112*T1^11*T2^5 - 12*T1^12*T2^5 - 76*T1^13*T2^5 + 56*T2^6 + 80*T1*T2^6 - 
      180*T1^2*T2^6 + 38*T1^3*T2^6 + 4*T1^4*T2^6 + 53*T1^5*T2^6 - 
      463*T1^6*T2^6 + 327*T1^7*T2^6 - 463*T1^8*T2^6 + 53*T1^9*T2^6 + 
      4*T1^10*T2^6 + 38*T1^11*T2^6 - 180*T1^12*T2^6 + 80*T1^13*T2^6 + 
      56*T1^14*T2^6 - 28*T2^7 - 112*T1*T2^7 + 76*T1^2*T2^7 + 220*T1^3*T2^7 - 
      235*T1^4*T2^7 + 53*T1^5*T2^7 + 327*T1^6*T2^7 - 104*T1^7*T2^7 - 
      104*T1^8*T2^7 + 327*T1^9*T2^7 + 53*T1^10*T2^7 - 235*T1^11*T2^7 + 
      220*T1^12*T2^7 + 76*T1^13*T2^7 - 112*T1^14*T2^7 - 28*T1^15*T2^7 + 
      7*T2^8 + 84*T1*T2^8 + 56*T1^2*T2^8 - 216*T1^3*T2^8 - 86*T1^4*T2^8 + 
      384*T1^5*T2^8 - 463*T1^6*T2^8 - 104*T1^7*T2^8 + 336*T1^8*T2^8 - 
      104*T1^9*T2^8 - 463*T1^10*T2^8 + 384*T1^11*T2^8 - 86*T1^12*T2^8 - 
      216*T1^13*T2^8 + 56*T1^14*T2^8 + 84*T1^15*T2^8 + 7*T1^16*T2^8 - 
      28*T1*T2^9 - 112*T1^2*T2^9 + 76*T1^3*T2^9 + 220*T1^4*T2^9 - 
      235*T1^5*T2^9 + 53*T1^6*T2^9 + 327*T1^7*T2^9 - 104*T1^8*T2^9 - 
      104*T1^9*T2^9 + 327*T1^10*T2^9 + 53*T1^11*T2^9 - 235*T1^12*T2^9 + 
      220*T1^13*T2^9 + 76*T1^14*T2^9 - 112*T1^15*T2^9 - 28*T1^16*T2^9 + 
      56*T1^2*T2^10 + 80*T1^3*T2^10 - 180*T1^4*T2^10 + 38*T1^5*T2^10 + 
      4*T1^6*T2^10 + 53*T1^7*T2^10 - 463*T1^8*T2^10 + 327*T1^9*T2^10 - 
      463*T1^10*T2^10 + 53*T1^11*T2^10 + 4*T1^12*T2^10 + 38*T1^13*T2^10 - 
      180*T1^14*T2^10 + 80*T1^15*T2^10 + 56*T1^16*T2^10 - 76*T1^3*T2^11 - 
      12*T1^4*T2^11 + 112*T1^5*T2^11 + 38*T1^6*T2^11 - 235*T1^7*T2^11 + 
      384*T1^8*T2^11 + 53*T1^9*T2^11 + 53*T1^10*T2^11 + 384*T1^11*T2^11 - 
      235*T1^12*T2^11 + 38*T1^13*T2^11 + 112*T1^14*T2^11 - 12*T1^15*T2^11 - 
      76*T1^16*T2^11 + 79*T1^4*T2^12 - 12*T1^5*T2^12 - 180*T1^6*T2^12 + 
      220*T1^7*T2^12 - 86*T1^8*T2^12 - 235*T1^9*T2^12 + 4*T1^10*T2^12 - 
      235*T1^11*T2^12 - 86*T1^12*T2^12 + 220*T1^13*T2^12 - 180*T1^14*T2^12 - 
      12*T1^15*T2^12 + 79*T1^16*T2^12 - 76*T1^5*T2^13 + 80*T1^6*T2^13 + 
      76*T1^7*T2^13 - 216*T1^8*T2^13 + 220*T1^9*T2^13 + 38*T1^10*T2^13 + 
      38*T1^11*T2^13 + 220*T1^12*T2^13 - 216*T1^13*T2^13 + 76*T1^14*T2^13 + 
      80*T1^15*T2^13 - 76*T1^16*T2^13 + 56*T1^6*T2^14 - 112*T1^7*T2^14 + 
      56*T1^8*T2^14 + 76*T1^9*T2^14 - 180*T1^10*T2^14 + 112*T1^11*T2^14 - 
      180*T1^12*T2^14 + 76*T1^13*T2^14 + 56*T1^14*T2^14 - 112*T1^15*T2^14 + 
      56*T1^16*T2^14 - 28*T1^7*T2^15 + 84*T1^8*T2^15 - 112*T1^9*T2^15 + 
      80*T1^10*T2^15 - 12*T1^11*T2^15 - 12*T1^12*T2^15 + 80*T1^13*T2^15 - 
      112*T1^14*T2^15 + 84*T1^15*T2^15 - 28*T1^16*T2^15 + 7*T1^8*T2^16 - 
      28*T1^9*T2^16 + 56*T1^10*T2^16 - 76*T1^11*T2^16 + 79*T1^12*T2^16 - 
      76*T1^13*T2^16 + 56*T1^14*T2^16 - 28*T1^15*T2^16 + 7*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 1245] -> 
  {-((4 - 18*T + 39*T^2 - 51*T^3 + 39*T^4 - 18*T^5 + 4*T^6)/T^3), 
   -((4*T1 - 12*T1^2 + 16*T1^3 - 12*T1^4 + 4*T1^5 + 4*T2 - 30*T1*T2 + 
      52*T1^2*T2 - 28*T1^3*T2 - 28*T1^4*T2 + 52*T1^5*T2 - 30*T1^6*T2 + 
      4*T1^7*T2 - 12*T2^2 + 52*T1*T2^2 + 25*T1^2*T2^2 - 234*T1^3*T2^2 + 
      363*T1^4*T2^2 - 234*T1^5*T2^2 + 25*T1^6*T2^2 + 52*T1^7*T2^2 - 
      12*T1^8*T2^2 + 16*T2^3 - 28*T1*T2^3 - 234*T1^2*T2^3 + 464*T1^3*T2^3 - 
      257*T1^4*T2^3 - 257*T1^5*T2^3 + 464*T1^6*T2^3 - 234*T1^7*T2^3 - 
      28*T1^8*T2^3 + 16*T1^9*T2^3 - 12*T2^4 - 28*T1*T2^4 + 363*T1^2*T2^4 - 
      257*T1^3*T2^4 - 291*T1^4*T2^4 + 617*T1^5*T2^4 - 291*T1^6*T2^4 - 
      257*T1^7*T2^4 + 363*T1^8*T2^4 - 28*T1^9*T2^4 - 12*T1^10*T2^4 + 4*T2^5 + 
      52*T1*T2^5 - 234*T1^2*T2^5 - 257*T1^3*T2^5 + 617*T1^4*T2^5 - 
      314*T1^5*T2^5 - 314*T1^6*T2^5 + 617*T1^7*T2^5 - 257*T1^8*T2^5 - 
      234*T1^9*T2^5 + 52*T1^10*T2^5 + 4*T1^11*T2^5 - 30*T1*T2^6 + 
      25*T1^2*T2^6 + 464*T1^3*T2^6 - 291*T1^4*T2^6 - 314*T1^5*T2^6 + 
      600*T1^6*T2^6 - 314*T1^7*T2^6 - 291*T1^8*T2^6 + 464*T1^9*T2^6 + 
      25*T1^10*T2^6 - 30*T1^11*T2^6 + 4*T1*T2^7 + 52*T1^2*T2^7 - 
      234*T1^3*T2^7 - 257*T1^4*T2^7 + 617*T1^5*T2^7 - 314*T1^6*T2^7 - 
      314*T1^7*T2^7 + 617*T1^8*T2^7 - 257*T1^9*T2^7 - 234*T1^10*T2^7 + 
      52*T1^11*T2^7 + 4*T1^12*T2^7 - 12*T1^2*T2^8 - 28*T1^3*T2^8 + 
      363*T1^4*T2^8 - 257*T1^5*T2^8 - 291*T1^6*T2^8 + 617*T1^7*T2^8 - 
      291*T1^8*T2^8 - 257*T1^9*T2^8 + 363*T1^10*T2^8 - 28*T1^11*T2^8 - 
      12*T1^12*T2^8 + 16*T1^3*T2^9 - 28*T1^4*T2^9 - 234*T1^5*T2^9 + 
      464*T1^6*T2^9 - 257*T1^7*T2^9 - 257*T1^8*T2^9 + 464*T1^9*T2^9 - 
      234*T1^10*T2^9 - 28*T1^11*T2^9 + 16*T1^12*T2^9 - 12*T1^4*T2^10 + 
      52*T1^5*T2^10 + 25*T1^6*T2^10 - 234*T1^7*T2^10 + 363*T1^8*T2^10 - 
      234*T1^9*T2^10 + 25*T1^10*T2^10 + 52*T1^11*T2^10 - 12*T1^12*T2^10 + 
      4*T1^5*T2^11 - 30*T1^6*T2^11 + 52*T1^7*T2^11 - 28*T1^8*T2^11 - 
      28*T1^9*T2^11 + 52*T1^10*T2^11 - 30*T1^11*T2^11 + 4*T1^12*T2^11 + 
      4*T1^7*T2^12 - 12*T1^8*T2^12 + 16*T1^9*T2^12 - 12*T1^10*T2^12 + 
      4*T1^11*T2^12)/(T1^6*T2^6))}, 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, (1 - 4*T1 + 10*T1^2 - 18*T1^3 + 25*T1^4 - 27*T1^5 + 
     25*T1^6 - 18*T1^7 + 10*T1^8 - 4*T1^9 + T1^10 - 4*T2 + 12*T1*T2 - 
     24*T1^2*T2 + 32*T1^3*T2 - 28*T1^4*T2 + 8*T1^5*T2 + 8*T1^6*T2 - 
     28*T1^7*T2 + 32*T1^8*T2 - 24*T1^9*T2 + 12*T1^10*T2 - 4*T1^11*T2 + 
     10*T2^2 - 24*T1*T2^2 + 44*T1^2*T2^2 - 54*T1^3*T2^2 + 50*T1^4*T2^2 - 
     29*T1^5*T2^2 + 40*T1^6*T2^2 - 29*T1^7*T2^2 + 50*T1^8*T2^2 - 
     54*T1^9*T2^2 + 44*T1^10*T2^2 - 24*T1^11*T2^2 + 10*T1^12*T2^2 - 18*T2^3 + 
     32*T1*T2^3 - 54*T1^2*T2^3 + 54*T1^3*T2^3 - 40*T1^4*T2^3 - 4*T1^5*T2^3 - 
     22*T1^6*T2^3 - 22*T1^7*T2^3 - 4*T1^8*T2^3 - 40*T1^9*T2^3 + 
     54*T1^10*T2^3 - 54*T1^11*T2^3 + 32*T1^12*T2^3 - 18*T1^13*T2^3 + 
     25*T2^4 - 28*T1*T2^4 + 50*T1^2*T2^4 - 40*T1^3*T2^4 + 36*T1^4*T2^4 + 
     8*T1^5*T2^4 + 87*T1^6*T2^4 - 24*T1^7*T2^4 + 87*T1^8*T2^4 + 8*T1^9*T2^4 + 
     36*T1^10*T2^4 - 40*T1^11*T2^4 + 50*T1^12*T2^4 - 28*T1^13*T2^4 + 
     25*T1^14*T2^4 - 27*T2^5 + 8*T1*T2^5 - 29*T1^2*T2^5 - 4*T1^3*T2^5 + 
     8*T1^4*T2^5 - 70*T1^5*T2^5 - 83*T1^6*T2^5 - 52*T1^7*T2^5 - 
     52*T1^8*T2^5 - 83*T1^9*T2^5 - 70*T1^10*T2^5 + 8*T1^11*T2^5 - 
     4*T1^12*T2^5 - 29*T1^13*T2^5 + 8*T1^14*T2^5 - 27*T1^15*T2^5 + 25*T2^6 + 
     8*T1*T2^6 + 40*T1^2*T2^6 - 22*T1^3*T2^6 + 87*T1^4*T2^6 - 83*T1^5*T2^6 + 
     342*T1^6*T2^6 - 152*T1^7*T2^6 + 334*T1^8*T2^6 - 152*T1^9*T2^6 + 
     342*T1^10*T2^6 - 83*T1^11*T2^6 + 87*T1^12*T2^6 - 22*T1^13*T2^6 + 
     40*T1^14*T2^6 + 8*T1^15*T2^6 + 25*T1^16*T2^6 - 18*T2^7 - 28*T1*T2^7 - 
     29*T1^2*T2^7 - 22*T1^3*T2^7 - 24*T1^4*T2^7 - 52*T1^5*T2^7 - 
     152*T1^6*T2^7 - 178*T1^7*T2^7 - 82*T1^8*T2^7 - 82*T1^9*T2^7 - 
     178*T1^10*T2^7 - 152*T1^11*T2^7 - 52*T1^12*T2^7 - 24*T1^13*T2^7 - 
     22*T1^14*T2^7 - 29*T1^15*T2^7 - 28*T1^16*T2^7 - 18*T1^17*T2^7 + 
     10*T2^8 + 32*T1*T2^8 + 50*T1^2*T2^8 - 4*T1^3*T2^8 + 87*T1^4*T2^8 - 
     52*T1^5*T2^8 + 334*T1^6*T2^8 - 82*T1^7*T2^8 + 593*T1^8*T2^8 - 
     473*T1^9*T2^8 + 593*T1^10*T2^8 - 82*T1^11*T2^8 + 334*T1^12*T2^8 - 
     52*T1^13*T2^8 + 87*T1^14*T2^8 - 4*T1^15*T2^8 + 50*T1^16*T2^8 + 
     32*T1^17*T2^8 + 10*T1^18*T2^8 - 4*T2^9 - 24*T1*T2^9 - 54*T1^2*T2^9 - 
     40*T1^3*T2^9 + 8*T1^4*T2^9 - 83*T1^5*T2^9 - 152*T1^6*T2^9 - 
     82*T1^7*T2^9 - 473*T1^8*T2^9 + 78*T1^9*T2^9 + 78*T1^10*T2^9 - 
     473*T1^11*T2^9 - 82*T1^12*T2^9 - 152*T1^13*T2^9 - 83*T1^14*T2^9 + 
     8*T1^15*T2^9 - 40*T1^16*T2^9 - 54*T1^17*T2^9 - 24*T1^18*T2^9 - 
     4*T1^19*T2^9 + T2^10 + 12*T1*T2^10 + 44*T1^2*T2^10 + 54*T1^3*T2^10 + 
     36*T1^4*T2^10 - 70*T1^5*T2^10 + 342*T1^6*T2^10 - 178*T1^7*T2^10 + 
     593*T1^8*T2^10 + 78*T1^9*T2^10 - 108*T1^10*T2^10 + 78*T1^11*T2^10 + 
     593*T1^12*T2^10 - 178*T1^13*T2^10 + 342*T1^14*T2^10 - 70*T1^15*T2^10 + 
     36*T1^16*T2^10 + 54*T1^17*T2^10 + 44*T1^18*T2^10 + 12*T1^19*T2^10 + 
     T1^20*T2^10 - 4*T1*T2^11 - 24*T1^2*T2^11 - 54*T1^3*T2^11 - 
     40*T1^4*T2^11 + 8*T1^5*T2^11 - 83*T1^6*T2^11 - 152*T1^7*T2^11 - 
     82*T1^8*T2^11 - 473*T1^9*T2^11 + 78*T1^10*T2^11 + 78*T1^11*T2^11 - 
     473*T1^12*T2^11 - 82*T1^13*T2^11 - 152*T1^14*T2^11 - 83*T1^15*T2^11 + 
     8*T1^16*T2^11 - 40*T1^17*T2^11 - 54*T1^18*T2^11 - 24*T1^19*T2^11 - 
     4*T1^20*T2^11 + 10*T1^2*T2^12 + 32*T1^3*T2^12 + 50*T1^4*T2^12 - 
     4*T1^5*T2^12 + 87*T1^6*T2^12 - 52*T1^7*T2^12 + 334*T1^8*T2^12 - 
     82*T1^9*T2^12 + 593*T1^10*T2^12 - 473*T1^11*T2^12 + 593*T1^12*T2^12 - 
     82*T1^13*T2^12 + 334*T1^14*T2^12 - 52*T1^15*T2^12 + 87*T1^16*T2^12 - 
     4*T1^17*T2^12 + 50*T1^18*T2^12 + 32*T1^19*T2^12 + 10*T1^20*T2^12 - 
     18*T1^3*T2^13 - 28*T1^4*T2^13 - 29*T1^5*T2^13 - 22*T1^6*T2^13 - 
     24*T1^7*T2^13 - 52*T1^8*T2^13 - 152*T1^9*T2^13 - 178*T1^10*T2^13 - 
     82*T1^11*T2^13 - 82*T1^12*T2^13 - 178*T1^13*T2^13 - 152*T1^14*T2^13 - 
     52*T1^15*T2^13 - 24*T1^16*T2^13 - 22*T1^17*T2^13 - 29*T1^18*T2^13 - 
     28*T1^19*T2^13 - 18*T1^20*T2^13 + 25*T1^4*T2^14 + 8*T1^5*T2^14 + 
     40*T1^6*T2^14 - 22*T1^7*T2^14 + 87*T1^8*T2^14 - 83*T1^9*T2^14 + 
     342*T1^10*T2^14 - 152*T1^11*T2^14 + 334*T1^12*T2^14 - 152*T1^13*T2^14 + 
     342*T1^14*T2^14 - 83*T1^15*T2^14 + 87*T1^16*T2^14 - 22*T1^17*T2^14 + 
     40*T1^18*T2^14 + 8*T1^19*T2^14 + 25*T1^20*T2^14 - 27*T1^5*T2^15 + 
     8*T1^6*T2^15 - 29*T1^7*T2^15 - 4*T1^8*T2^15 + 8*T1^9*T2^15 - 
     70*T1^10*T2^15 - 83*T1^11*T2^15 - 52*T1^12*T2^15 - 52*T1^13*T2^15 - 
     83*T1^14*T2^15 - 70*T1^15*T2^15 + 8*T1^16*T2^15 - 4*T1^17*T2^15 - 
     29*T1^18*T2^15 + 8*T1^19*T2^15 - 27*T1^20*T2^15 + 25*T1^6*T2^16 - 
     28*T1^7*T2^16 + 50*T1^8*T2^16 - 40*T1^9*T2^16 + 36*T1^10*T2^16 + 
     8*T1^11*T2^16 + 87*T1^12*T2^16 - 24*T1^13*T2^16 + 87*T1^14*T2^16 + 
     8*T1^15*T2^16 + 36*T1^16*T2^16 - 40*T1^17*T2^16 + 50*T1^18*T2^16 - 
     28*T1^19*T2^16 + 25*T1^20*T2^16 - 18*T1^7*T2^17 + 32*T1^8*T2^17 - 
     54*T1^9*T2^17 + 54*T1^10*T2^17 - 40*T1^11*T2^17 - 4*T1^12*T2^17 - 
     22*T1^13*T2^17 - 22*T1^14*T2^17 - 4*T1^15*T2^17 - 40*T1^16*T2^17 + 
     54*T1^17*T2^17 - 54*T1^18*T2^17 + 32*T1^19*T2^17 - 18*T1^20*T2^17 + 
     10*T1^8*T2^18 - 24*T1^9*T2^18 + 44*T1^10*T2^18 - 54*T1^11*T2^18 + 
     50*T1^12*T2^18 - 29*T1^13*T2^18 + 40*T1^14*T2^18 - 29*T1^15*T2^18 + 
     50*T1^16*T2^18 - 54*T1^17*T2^18 + 44*T1^18*T2^18 - 24*T1^19*T2^18 + 
     10*T1^20*T2^18 - 4*T1^9*T2^19 + 12*T1^10*T2^19 - 24*T1^11*T2^19 + 
     32*T1^12*T2^19 - 28*T1^13*T2^19 + 8*T1^14*T2^19 + 8*T1^15*T2^19 - 
     28*T1^16*T2^19 + 32*T1^17*T2^19 - 24*T1^18*T2^19 + 12*T1^19*T2^19 - 
     4*T1^20*T2^19 + T1^10*T2^20 - 4*T1^11*T2^20 + 10*T1^12*T2^20 - 
     18*T1^13*T2^20 + 25*T1^14*T2^20 - 27*T1^15*T2^20 + 25*T1^16*T2^20 - 
     18*T1^17*T2^20 + 10*T1^18*T2^20 - 4*T1^19*T2^20 + T1^20*T2^20)/
    (T1^10*T2^10)}, 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, 
   (15 - 60*T1 + 119*T1^2 - 156*T1^3 + 171*T1^4 - 156*T1^5 + 119*T1^6 - 
     60*T1^7 + 15*T1^8 - 60*T2 + 180*T1*T2 - 236*T1^2*T2 + 148*T1^3*T2 - 
     60*T1^4*T2 - 60*T1^5*T2 + 148*T1^6*T2 - 236*T1^7*T2 + 180*T1^8*T2 - 
     60*T1^9*T2 + 119*T2^2 - 236*T1*T2^2 + 84*T1^2*T2^2 + 256*T1^3*T2^2 - 
     314*T1^4*T2^2 + 392*T1^5*T2^2 - 314*T1^6*T2^2 + 256*T1^7*T2^2 + 
     84*T1^8*T2^2 - 236*T1^9*T2^2 + 119*T1^10*T2^2 - 156*T2^3 + 148*T1*T2^3 + 
     256*T1^2*T2^3 - 568*T1^3*T2^3 + 206*T1^4*T2^3 - 136*T1^5*T2^3 - 
     136*T1^6*T2^3 + 206*T1^7*T2^3 - 568*T1^8*T2^3 + 256*T1^9*T2^3 + 
     148*T1^10*T2^3 - 156*T1^11*T2^3 + 171*T2^4 - 60*T1*T2^4 - 
     314*T1^2*T2^4 + 206*T1^3*T2^4 + 566*T1^4*T2^4 - 451*T1^5*T2^4 + 
     640*T1^6*T2^4 - 451*T1^7*T2^4 + 566*T1^8*T2^4 + 206*T1^9*T2^4 - 
     314*T1^10*T2^4 - 60*T1^11*T2^4 + 171*T1^12*T2^4 - 156*T2^5 - 
     60*T1*T2^5 + 392*T1^2*T2^5 - 136*T1^3*T2^5 - 451*T1^4*T2^5 - 
     120*T1^5*T2^5 - 88*T1^6*T2^5 - 88*T1^7*T2^5 - 120*T1^8*T2^5 - 
     451*T1^9*T2^5 - 136*T1^10*T2^5 + 392*T1^11*T2^5 - 60*T1^12*T2^5 - 
     156*T1^13*T2^5 + 119*T2^6 + 148*T1*T2^6 - 314*T1^2*T2^6 - 
     136*T1^3*T2^6 + 640*T1^4*T2^6 - 88*T1^5*T2^6 + 648*T1^6*T2^6 - 
     532*T1^7*T2^6 + 648*T1^8*T2^6 - 88*T1^9*T2^6 + 640*T1^10*T2^6 - 
     136*T1^11*T2^6 - 314*T1^12*T2^6 + 148*T1^13*T2^6 + 119*T1^14*T2^6 - 
     60*T2^7 - 236*T1*T2^7 + 256*T1^2*T2^7 + 206*T1^3*T2^7 - 451*T1^4*T2^7 - 
     88*T1^5*T2^7 - 532*T1^6*T2^7 + 86*T1^7*T2^7 + 86*T1^8*T2^7 - 
     532*T1^9*T2^7 - 88*T1^10*T2^7 - 451*T1^11*T2^7 + 206*T1^12*T2^7 + 
     256*T1^13*T2^7 - 236*T1^14*T2^7 - 60*T1^15*T2^7 + 15*T2^8 + 
     180*T1*T2^8 + 84*T1^2*T2^8 - 568*T1^3*T2^8 + 566*T1^4*T2^8 - 
     120*T1^5*T2^8 + 648*T1^6*T2^8 + 86*T1^7*T2^8 - 108*T1^8*T2^8 + 
     86*T1^9*T2^8 + 648*T1^10*T2^8 - 120*T1^11*T2^8 + 566*T1^12*T2^8 - 
     568*T1^13*T2^8 + 84*T1^14*T2^8 + 180*T1^15*T2^8 + 15*T1^16*T2^8 - 
     60*T1*T2^9 - 236*T1^2*T2^9 + 256*T1^3*T2^9 + 206*T1^4*T2^9 - 
     451*T1^5*T2^9 - 88*T1^6*T2^9 - 532*T1^7*T2^9 + 86*T1^8*T2^9 + 
     86*T1^9*T2^9 - 532*T1^10*T2^9 - 88*T1^11*T2^9 - 451*T1^12*T2^9 + 
     206*T1^13*T2^9 + 256*T1^14*T2^9 - 236*T1^15*T2^9 - 60*T1^16*T2^9 + 
     119*T1^2*T2^10 + 148*T1^3*T2^10 - 314*T1^4*T2^10 - 136*T1^5*T2^10 + 
     640*T1^6*T2^10 - 88*T1^7*T2^10 + 648*T1^8*T2^10 - 532*T1^9*T2^10 + 
     648*T1^10*T2^10 - 88*T1^11*T2^10 + 640*T1^12*T2^10 - 136*T1^13*T2^10 - 
     314*T1^14*T2^10 + 148*T1^15*T2^10 + 119*T1^16*T2^10 - 156*T1^3*T2^11 - 
     60*T1^4*T2^11 + 392*T1^5*T2^11 - 136*T1^6*T2^11 - 451*T1^7*T2^11 - 
     120*T1^8*T2^11 - 88*T1^9*T2^11 - 88*T1^10*T2^11 - 120*T1^11*T2^11 - 
     451*T1^12*T2^11 - 136*T1^13*T2^11 + 392*T1^14*T2^11 - 60*T1^15*T2^11 - 
     156*T1^16*T2^11 + 171*T1^4*T2^12 - 60*T1^5*T2^12 - 314*T1^6*T2^12 + 
     206*T1^7*T2^12 + 566*T1^8*T2^12 - 451*T1^9*T2^12 + 640*T1^10*T2^12 - 
     451*T1^11*T2^12 + 566*T1^12*T2^12 + 206*T1^13*T2^12 - 314*T1^14*T2^12 - 
     60*T1^15*T2^12 + 171*T1^16*T2^12 - 156*T1^5*T2^13 + 148*T1^6*T2^13 + 
     256*T1^7*T2^13 - 568*T1^8*T2^13 + 206*T1^9*T2^13 - 136*T1^10*T2^13 - 
     136*T1^11*T2^13 + 206*T1^12*T2^13 - 568*T1^13*T2^13 + 256*T1^14*T2^13 + 
     148*T1^15*T2^13 - 156*T1^16*T2^13 + 119*T1^6*T2^14 - 236*T1^7*T2^14 + 
     84*T1^8*T2^14 + 256*T1^9*T2^14 - 314*T1^10*T2^14 + 392*T1^11*T2^14 - 
     314*T1^12*T2^14 + 256*T1^13*T2^14 + 84*T1^14*T2^14 - 236*T1^15*T2^14 + 
     119*T1^16*T2^14 - 60*T1^7*T2^15 + 180*T1^8*T2^15 - 236*T1^9*T2^15 + 
     148*T1^10*T2^15 - 60*T1^11*T2^15 - 60*T1^12*T2^15 + 148*T1^13*T2^15 - 
     236*T1^14*T2^15 + 180*T1^15*T2^15 - 60*T1^16*T2^15 + 15*T1^8*T2^16 - 
     60*T1^9*T2^16 + 119*T1^10*T2^16 - 156*T1^11*T2^16 + 171*T1^12*T2^16 - 
     156*T1^13*T2^16 + 119*T1^14*T2^16 - 60*T1^15*T2^16 + 15*T1^16*T2^16)/
    (T1^8*T2^8)}, 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, -((1 - 6*T1 + 17*T1^2 - 32*T1^3 + 46*T1^4 - 
      51*T1^5 + 46*T1^6 - 32*T1^7 + 17*T1^8 - 6*T1^9 + T1^10 - 6*T2 + 
      30*T1*T2 - 66*T1^2*T2 + 90*T1^3*T2 - 84*T1^4*T2 + 30*T1^5*T2 + 
      30*T1^6*T2 - 84*T1^7*T2 + 90*T1^8*T2 - 66*T1^9*T2 + 30*T1^10*T2 - 
      6*T1^11*T2 + 17*T2^2 - 66*T1*T2^2 + 88*T1^2*T2^2 - 24*T1^3*T2^2 - 
      105*T1^4*T2^2 + 283*T1^5*T2^2 - 318*T1^6*T2^2 + 283*T1^7*T2^2 - 
      105*T1^8*T2^2 - 24*T1^9*T2^2 + 88*T1^10*T2^2 - 66*T1^11*T2^2 + 
      17*T1^12*T2^2 - 32*T2^3 + 90*T1*T2^3 - 24*T1^2*T2^3 - 170*T1^3*T2^3 + 
      320*T1^4*T2^3 - 412*T1^5*T2^3 + 104*T1^6*T2^3 + 104*T1^7*T2^3 - 
      412*T1^8*T2^3 + 320*T1^9*T2^3 - 170*T1^10*T2^3 - 24*T1^11*T2^3 + 
      90*T1^12*T2^3 - 32*T1^13*T2^3 + 46*T2^4 - 84*T1*T2^4 - 105*T1^2*T2^4 + 
      320*T1^3*T2^4 - 279*T1^4*T2^4 + 194*T1^5*T2^4 + 403*T1^6*T2^4 - 
      323*T1^7*T2^4 + 403*T1^8*T2^4 + 194*T1^9*T2^4 - 279*T1^10*T2^4 + 
      320*T1^11*T2^4 - 105*T1^12*T2^4 - 84*T1^13*T2^4 + 46*T1^14*T2^4 - 
      51*T2^5 + 30*T1*T2^5 + 283*T1^2*T2^5 - 412*T1^3*T2^5 + 194*T1^4*T2^5 - 
      152*T1^5*T2^5 - 516*T1^6*T2^5 - 85*T1^7*T2^5 - 85*T1^8*T2^5 - 
      516*T1^9*T2^5 - 152*T1^10*T2^5 + 194*T1^11*T2^5 - 412*T1^12*T2^5 + 
      283*T1^13*T2^5 + 30*T1^14*T2^5 - 51*T1^15*T2^5 + 46*T2^6 + 30*T1*T2^6 - 
      318*T1^2*T2^6 + 104*T1^3*T2^6 + 403*T1^4*T2^6 - 516*T1^5*T2^6 + 
      1408*T1^6*T2^6 - 445*T1^7*T2^6 + 1056*T1^8*T2^6 - 445*T1^9*T2^6 + 
      1408*T1^10*T2^6 - 516*T1^11*T2^6 + 403*T1^12*T2^6 + 104*T1^13*T2^6 - 
      318*T1^14*T2^6 + 30*T1^15*T2^6 + 46*T1^16*T2^6 - 32*T2^7 - 84*T1*T2^7 + 
      283*T1^2*T2^7 + 104*T1^3*T2^7 - 323*T1^4*T2^7 - 85*T1^5*T2^7 - 
      445*T1^6*T2^7 - 1024*T1^7*T2^7 - 235*T1^8*T2^7 - 235*T1^9*T2^7 - 
      1024*T1^10*T2^7 - 445*T1^11*T2^7 - 85*T1^12*T2^7 - 323*T1^13*T2^7 + 
      104*T1^14*T2^7 + 283*T1^15*T2^7 - 84*T1^16*T2^7 - 32*T1^17*T2^7 + 
      17*T2^8 + 90*T1*T2^8 - 105*T1^2*T2^8 - 412*T1^3*T2^8 + 403*T1^4*T2^8 - 
      85*T1^5*T2^8 + 1056*T1^6*T2^8 - 235*T1^7*T2^8 + 2642*T1^8*T2^8 - 
      1970*T1^9*T2^8 + 2642*T1^10*T2^8 - 235*T1^11*T2^8 + 1056*T1^12*T2^8 - 
      85*T1^13*T2^8 + 403*T1^14*T2^8 - 412*T1^15*T2^8 - 105*T1^16*T2^8 + 
      90*T1^17*T2^8 + 17*T1^18*T2^8 - 6*T2^9 - 66*T1*T2^9 - 24*T1^2*T2^9 + 
      320*T1^3*T2^9 + 194*T1^4*T2^9 - 516*T1^5*T2^9 - 445*T1^6*T2^9 - 
      235*T1^7*T2^9 - 1970*T1^8*T2^9 - 12*T1^9*T2^9 - 12*T1^10*T2^9 - 
      1970*T1^11*T2^9 - 235*T1^12*T2^9 - 445*T1^13*T2^9 - 516*T1^14*T2^9 + 
      194*T1^15*T2^9 + 320*T1^16*T2^9 - 24*T1^17*T2^9 - 66*T1^18*T2^9 - 
      6*T1^19*T2^9 + T2^10 + 30*T1*T2^10 + 88*T1^2*T2^10 - 170*T1^3*T2^10 - 
      279*T1^4*T2^10 - 152*T1^5*T2^10 + 1408*T1^6*T2^10 - 1024*T1^7*T2^10 + 
      2642*T1^8*T2^10 - 12*T1^9*T2^10 + 720*T1^10*T2^10 - 12*T1^11*T2^10 + 
      2642*T1^12*T2^10 - 1024*T1^13*T2^10 + 1408*T1^14*T2^10 - 
      152*T1^15*T2^10 - 279*T1^16*T2^10 - 170*T1^17*T2^10 + 88*T1^18*T2^10 + 
      30*T1^19*T2^10 + T1^20*T2^10 - 6*T1*T2^11 - 66*T1^2*T2^11 - 
      24*T1^3*T2^11 + 320*T1^4*T2^11 + 194*T1^5*T2^11 - 516*T1^6*T2^11 - 
      445*T1^7*T2^11 - 235*T1^8*T2^11 - 1970*T1^9*T2^11 - 12*T1^10*T2^11 - 
      12*T1^11*T2^11 - 1970*T1^12*T2^11 - 235*T1^13*T2^11 - 445*T1^14*T2^11 - 
      516*T1^15*T2^11 + 194*T1^16*T2^11 + 320*T1^17*T2^11 - 24*T1^18*T2^11 - 
      66*T1^19*T2^11 - 6*T1^20*T2^11 + 17*T1^2*T2^12 + 90*T1^3*T2^12 - 
      105*T1^4*T2^12 - 412*T1^5*T2^12 + 403*T1^6*T2^12 - 85*T1^7*T2^12 + 
      1056*T1^8*T2^12 - 235*T1^9*T2^12 + 2642*T1^10*T2^12 - 
      1970*T1^11*T2^12 + 2642*T1^12*T2^12 - 235*T1^13*T2^12 + 
      1056*T1^14*T2^12 - 85*T1^15*T2^12 + 403*T1^16*T2^12 - 412*T1^17*T2^12 - 
      105*T1^18*T2^12 + 90*T1^19*T2^12 + 17*T1^20*T2^12 - 32*T1^3*T2^13 - 
      84*T1^4*T2^13 + 283*T1^5*T2^13 + 104*T1^6*T2^13 - 323*T1^7*T2^13 - 
      85*T1^8*T2^13 - 445*T1^9*T2^13 - 1024*T1^10*T2^13 - 235*T1^11*T2^13 - 
      235*T1^12*T2^13 - 1024*T1^13*T2^13 - 445*T1^14*T2^13 - 85*T1^15*T2^13 - 
      323*T1^16*T2^13 + 104*T1^17*T2^13 + 283*T1^18*T2^13 - 84*T1^19*T2^13 - 
      32*T1^20*T2^13 + 46*T1^4*T2^14 + 30*T1^5*T2^14 - 318*T1^6*T2^14 + 
      104*T1^7*T2^14 + 403*T1^8*T2^14 - 516*T1^9*T2^14 + 1408*T1^10*T2^14 - 
      445*T1^11*T2^14 + 1056*T1^12*T2^14 - 445*T1^13*T2^14 + 
      1408*T1^14*T2^14 - 516*T1^15*T2^14 + 403*T1^16*T2^14 + 
      104*T1^17*T2^14 - 318*T1^18*T2^14 + 30*T1^19*T2^14 + 46*T1^20*T2^14 - 
      51*T1^5*T2^15 + 30*T1^6*T2^15 + 283*T1^7*T2^15 - 412*T1^8*T2^15 + 
      194*T1^9*T2^15 - 152*T1^10*T2^15 - 516*T1^11*T2^15 - 85*T1^12*T2^15 - 
      85*T1^13*T2^15 - 516*T1^14*T2^15 - 152*T1^15*T2^15 + 194*T1^16*T2^15 - 
      412*T1^17*T2^15 + 283*T1^18*T2^15 + 30*T1^19*T2^15 - 51*T1^20*T2^15 + 
      46*T1^6*T2^16 - 84*T1^7*T2^16 - 105*T1^8*T2^16 + 320*T1^9*T2^16 - 
      279*T1^10*T2^16 + 194*T1^11*T2^16 + 403*T1^12*T2^16 - 323*T1^13*T2^16 + 
      403*T1^14*T2^16 + 194*T1^15*T2^16 - 279*T1^16*T2^16 + 320*T1^17*T2^16 - 
      105*T1^18*T2^16 - 84*T1^19*T2^16 + 46*T1^20*T2^16 - 32*T1^7*T2^17 + 
      90*T1^8*T2^17 - 24*T1^9*T2^17 - 170*T1^10*T2^17 + 320*T1^11*T2^17 - 
      412*T1^12*T2^17 + 104*T1^13*T2^17 + 104*T1^14*T2^17 - 412*T1^15*T2^17 + 
      320*T1^16*T2^17 - 170*T1^17*T2^17 - 24*T1^18*T2^17 + 90*T1^19*T2^17 - 
      32*T1^20*T2^17 + 17*T1^8*T2^18 - 66*T1^9*T2^18 + 88*T1^10*T2^18 - 
      24*T1^11*T2^18 - 105*T1^12*T2^18 + 283*T1^13*T2^18 - 318*T1^14*T2^18 + 
      283*T1^15*T2^18 - 105*T1^16*T2^18 - 24*T1^17*T2^18 + 88*T1^18*T2^18 - 
      66*T1^19*T2^18 + 17*T1^20*T2^18 - 6*T1^9*T2^19 + 30*T1^10*T2^19 - 
      66*T1^11*T2^19 + 90*T1^12*T2^19 - 84*T1^13*T2^19 + 30*T1^14*T2^19 + 
      30*T1^15*T2^19 - 84*T1^16*T2^19 + 90*T1^17*T2^19 - 66*T1^18*T2^19 + 
      30*T1^19*T2^19 - 6*T1^20*T2^19 + T1^10*T2^20 - 6*T1^11*T2^20 + 
      17*T1^12*T2^20 - 32*T1^13*T2^20 + 46*T1^14*T2^20 - 51*T1^15*T2^20 + 
      46*T1^16*T2^20 - 32*T1^17*T2^20 + 17*T1^18*T2^20 - 6*T1^19*T2^20 + 
      T1^20*T2^20)/(T1^10*T2^10))}, 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), 0}, 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), 
   -((2*T1^3 - 4*T1^4 + 2*T1^5 - 8*T1^3*T2 + 8*T1^4*T2 + 8*T1^5*T2 - 
      8*T1^6*T2 - T1^2*T2^2 + 22*T1^3*T2^2 - 12*T1^4*T2^2 - 19*T1^5*T2^2 - 
      12*T1^6*T2^2 + 22*T1^7*T2^2 - T1^8*T2^2 + 2*T2^3 - 8*T1*T2^3 + 
      22*T1^2*T2^3 - 68*T1^3*T2^3 + 26*T1^4*T2^3 + 28*T1^5*T2^3 + 
      28*T1^6*T2^3 + 26*T1^7*T2^3 - 68*T1^8*T2^3 + 22*T1^9*T2^3 - 
      8*T1^10*T2^3 + 2*T1^11*T2^3 - 4*T2^4 + 8*T1*T2^4 - 12*T1^2*T2^4 + 
      26*T1^3*T2^4 + 125*T1^4*T2^4 - 191*T1^5*T2^4 + 89*T1^6*T2^4 - 
      191*T1^7*T2^4 + 125*T1^8*T2^4 + 26*T1^9*T2^4 - 12*T1^10*T2^4 + 
      8*T1^11*T2^4 - 4*T1^12*T2^4 + 2*T2^5 + 8*T1*T2^5 - 19*T1^2*T2^5 + 
      28*T1^3*T2^5 - 191*T1^4*T2^5 + 94*T1^5*T2^5 + 81*T1^6*T2^5 + 
      81*T1^7*T2^5 + 94*T1^8*T2^5 - 191*T1^9*T2^5 + 28*T1^10*T2^5 - 
      19*T1^11*T2^5 + 8*T1^12*T2^5 + 2*T1^13*T2^5 - 8*T1*T2^6 - 
      12*T1^2*T2^6 + 28*T1^3*T2^6 + 89*T1^4*T2^6 + 81*T1^5*T2^6 - 
      65*T1^6*T2^6 - 225*T1^7*T2^6 - 65*T1^8*T2^6 + 81*T1^9*T2^6 + 
      89*T1^10*T2^6 + 28*T1^11*T2^6 - 12*T1^12*T2^6 - 8*T1^13*T2^6 + 
      22*T1^2*T2^7 + 26*T1^3*T2^7 - 191*T1^4*T2^7 + 81*T1^5*T2^7 - 
      225*T1^6*T2^7 + 282*T1^7*T2^7 + 282*T1^8*T2^7 - 225*T1^9*T2^7 + 
      81*T1^10*T2^7 - 191*T1^11*T2^7 + 26*T1^12*T2^7 + 22*T1^13*T2^7 - 
      T1^2*T2^8 - 68*T1^3*T2^8 + 125*T1^4*T2^8 + 94*T1^5*T2^8 - 
      65*T1^6*T2^8 + 282*T1^7*T2^8 - 720*T1^8*T2^8 + 282*T1^9*T2^8 - 
      65*T1^10*T2^8 + 94*T1^11*T2^8 + 125*T1^12*T2^8 - 68*T1^13*T2^8 - 
      T1^14*T2^8 + 22*T1^3*T2^9 + 26*T1^4*T2^9 - 191*T1^5*T2^9 + 
      81*T1^6*T2^9 - 225*T1^7*T2^9 + 282*T1^8*T2^9 + 282*T1^9*T2^9 - 
      225*T1^10*T2^9 + 81*T1^11*T2^9 - 191*T1^12*T2^9 + 26*T1^13*T2^9 + 
      22*T1^14*T2^9 - 8*T1^3*T2^10 - 12*T1^4*T2^10 + 28*T1^5*T2^10 + 
      89*T1^6*T2^10 + 81*T1^7*T2^10 - 65*T1^8*T2^10 - 225*T1^9*T2^10 - 
      65*T1^10*T2^10 + 81*T1^11*T2^10 + 89*T1^12*T2^10 + 28*T1^13*T2^10 - 
      12*T1^14*T2^10 - 8*T1^15*T2^10 + 2*T1^3*T2^11 + 8*T1^4*T2^11 - 
      19*T1^5*T2^11 + 28*T1^6*T2^11 - 191*T1^7*T2^11 + 94*T1^8*T2^11 + 
      81*T1^9*T2^11 + 81*T1^10*T2^11 + 94*T1^11*T2^11 - 191*T1^12*T2^11 + 
      28*T1^13*T2^11 - 19*T1^14*T2^11 + 8*T1^15*T2^11 + 2*T1^16*T2^11 - 
      4*T1^4*T2^12 + 8*T1^5*T2^12 - 12*T1^6*T2^12 + 26*T1^7*T2^12 + 
      125*T1^8*T2^12 - 191*T1^9*T2^12 + 89*T1^10*T2^12 - 191*T1^11*T2^12 + 
      125*T1^12*T2^12 + 26*T1^13*T2^12 - 12*T1^14*T2^12 + 8*T1^15*T2^12 - 
      4*T1^16*T2^12 + 2*T1^5*T2^13 - 8*T1^6*T2^13 + 22*T1^7*T2^13 - 
      68*T1^8*T2^13 + 26*T1^9*T2^13 + 28*T1^10*T2^13 + 28*T1^11*T2^13 + 
      26*T1^12*T2^13 - 68*T1^13*T2^13 + 22*T1^14*T2^13 - 8*T1^15*T2^13 + 
      2*T1^16*T2^13 - T1^8*T2^14 + 22*T1^9*T2^14 - 12*T1^10*T2^14 - 
      19*T1^11*T2^14 - 12*T1^12*T2^14 + 22*T1^13*T2^14 - T1^14*T2^14 - 
      8*T1^10*T2^15 + 8*T1^11*T2^15 + 8*T1^12*T2^15 - 8*T1^13*T2^15 + 
      2*T1^11*T2^16 - 4*T1^12*T2^16 + 2*T1^13*T2^16)/(T1^8*T2^8))}, 
 Knot[12, Alternating, 1251] -> 
  {-(((1 - 3*T + T^2)*(4 - 13*T + 19*T^2 - 13*T^3 + 4*T^4))/T^3), 0}, 
 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), -((9 - 44*T1 + 117*T1^2 - 206*T1^3 + 243*T1^4 - 206*T1^5 + 
      117*T1^6 - 44*T1^7 + 9*T1^8 - 44*T2 + 172*T1*T2 - 360*T1^2*T2 + 
      439*T1^3*T2 - 183*T1^4*T2 - 183*T1^5*T2 + 439*T1^6*T2 - 360*T1^7*T2 + 
      172*T1^8*T2 - 44*T1^9*T2 + 117*T2^2 - 360*T1*T2^2 + 583*T1^2*T2^2 - 
      419*T1^3*T2^2 - 320*T1^4*T2^2 + 561*T1^5*T2^2 - 320*T1^6*T2^2 - 
      419*T1^7*T2^2 + 583*T1^8*T2^2 - 360*T1^9*T2^2 + 117*T1^10*T2^2 - 
      206*T2^3 + 439*T1*T2^3 - 419*T1^2*T2^3 - 232*T1^3*T2^3 + 
      1233*T1^4*T2^3 - 415*T1^5*T2^3 - 415*T1^6*T2^3 + 1233*T1^7*T2^3 - 
      232*T1^8*T2^3 - 419*T1^9*T2^3 + 439*T1^10*T2^3 - 206*T1^11*T2^3 + 
      243*T2^4 - 183*T1*T2^4 - 320*T1^2*T2^4 + 1233*T1^3*T2^4 - 
      1506*T1^4*T2^4 - 1239*T1^5*T2^4 + 1516*T1^6*T2^4 - 1239*T1^7*T2^4 - 
      1506*T1^8*T2^4 + 1233*T1^9*T2^4 - 320*T1^10*T2^4 - 183*T1^11*T2^4 + 
      243*T1^12*T2^4 - 206*T2^5 - 183*T1*T2^5 + 561*T1^2*T2^5 - 
      415*T1^3*T2^5 - 1239*T1^4*T2^5 + 4740*T1^5*T2^5 - 1234*T1^6*T2^5 - 
      1234*T1^7*T2^5 + 4740*T1^8*T2^5 - 1239*T1^9*T2^5 - 415*T1^10*T2^5 + 
      561*T1^11*T2^5 - 183*T1^12*T2^5 - 206*T1^13*T2^5 + 117*T2^6 + 
      439*T1*T2^6 - 320*T1^2*T2^6 - 415*T1^3*T2^6 + 1516*T1^4*T2^6 - 
      1234*T1^5*T2^6 - 7421*T1^6*T2^6 + 8103*T1^7*T2^6 - 7421*T1^8*T2^6 - 
      1234*T1^9*T2^6 + 1516*T1^10*T2^6 - 415*T1^11*T2^6 - 320*T1^12*T2^6 + 
      439*T1^13*T2^6 + 117*T1^14*T2^6 - 44*T2^7 - 360*T1*T2^7 - 
      419*T1^2*T2^7 + 1233*T1^3*T2^7 - 1239*T1^4*T2^7 - 1234*T1^5*T2^7 + 
      8103*T1^6*T2^7 - 1712*T1^7*T2^7 - 1712*T1^8*T2^7 + 8103*T1^9*T2^7 - 
      1234*T1^10*T2^7 - 1239*T1^11*T2^7 + 1233*T1^12*T2^7 - 419*T1^13*T2^7 - 
      360*T1^14*T2^7 - 44*T1^15*T2^7 + 9*T2^8 + 172*T1*T2^8 + 583*T1^2*T2^8 - 
      232*T1^3*T2^8 - 1506*T1^4*T2^8 + 4740*T1^5*T2^8 - 7421*T1^6*T2^8 - 
      1712*T1^7*T2^8 + 1236*T1^8*T2^8 - 1712*T1^9*T2^8 - 7421*T1^10*T2^8 + 
      4740*T1^11*T2^8 - 1506*T1^12*T2^8 - 232*T1^13*T2^8 + 583*T1^14*T2^8 + 
      172*T1^15*T2^8 + 9*T1^16*T2^8 - 44*T1*T2^9 - 360*T1^2*T2^9 - 
      419*T1^3*T2^9 + 1233*T1^4*T2^9 - 1239*T1^5*T2^9 - 1234*T1^6*T2^9 + 
      8103*T1^7*T2^9 - 1712*T1^8*T2^9 - 1712*T1^9*T2^9 + 8103*T1^10*T2^9 - 
      1234*T1^11*T2^9 - 1239*T1^12*T2^9 + 1233*T1^13*T2^9 - 419*T1^14*T2^9 - 
      360*T1^15*T2^9 - 44*T1^16*T2^9 + 117*T1^2*T2^10 + 439*T1^3*T2^10 - 
      320*T1^4*T2^10 - 415*T1^5*T2^10 + 1516*T1^6*T2^10 - 1234*T1^7*T2^10 - 
      7421*T1^8*T2^10 + 8103*T1^9*T2^10 - 7421*T1^10*T2^10 - 
      1234*T1^11*T2^10 + 1516*T1^12*T2^10 - 415*T1^13*T2^10 - 
      320*T1^14*T2^10 + 439*T1^15*T2^10 + 117*T1^16*T2^10 - 206*T1^3*T2^11 - 
      183*T1^4*T2^11 + 561*T1^5*T2^11 - 415*T1^6*T2^11 - 1239*T1^7*T2^11 + 
      4740*T1^8*T2^11 - 1234*T1^9*T2^11 - 1234*T1^10*T2^11 + 
      4740*T1^11*T2^11 - 1239*T1^12*T2^11 - 415*T1^13*T2^11 + 
      561*T1^14*T2^11 - 183*T1^15*T2^11 - 206*T1^16*T2^11 + 243*T1^4*T2^12 - 
      183*T1^5*T2^12 - 320*T1^6*T2^12 + 1233*T1^7*T2^12 - 1506*T1^8*T2^12 - 
      1239*T1^9*T2^12 + 1516*T1^10*T2^12 - 1239*T1^11*T2^12 - 
      1506*T1^12*T2^12 + 1233*T1^13*T2^12 - 320*T1^14*T2^12 - 
      183*T1^15*T2^12 + 243*T1^16*T2^12 - 206*T1^5*T2^13 + 439*T1^6*T2^13 - 
      419*T1^7*T2^13 - 232*T1^8*T2^13 + 1233*T1^9*T2^13 - 415*T1^10*T2^13 - 
      415*T1^11*T2^13 + 1233*T1^12*T2^13 - 232*T1^13*T2^13 - 
      419*T1^14*T2^13 + 439*T1^15*T2^13 - 206*T1^16*T2^13 + 117*T1^6*T2^14 - 
      360*T1^7*T2^14 + 583*T1^8*T2^14 - 419*T1^9*T2^14 - 320*T1^10*T2^14 + 
      561*T1^11*T2^14 - 320*T1^12*T2^14 - 419*T1^13*T2^14 + 583*T1^14*T2^14 - 
      360*T1^15*T2^14 + 117*T1^16*T2^14 - 44*T1^7*T2^15 + 172*T1^8*T2^15 - 
      360*T1^9*T2^15 + 439*T1^10*T2^15 - 183*T1^11*T2^15 - 183*T1^12*T2^15 + 
      439*T1^13*T2^15 - 360*T1^14*T2^15 + 172*T1^15*T2^15 - 44*T1^16*T2^15 + 
      9*T1^8*T2^16 - 44*T1^9*T2^16 + 117*T1^10*T2^16 - 206*T1^11*T2^16 + 
      243*T1^12*T2^16 - 206*T1^13*T2^16 + 117*T1^14*T2^16 - 44*T1^15*T2^16 + 
      9*T1^16*T2^16)/(T1^8*T2^8))}, 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, 
   -((1 - 5*T1 + 14*T1^2 - 26*T1^3 + 37*T1^4 - 41*T1^5 + 37*T1^6 - 26*T1^7 + 
      14*T1^8 - 5*T1^9 + T1^10 - 5*T2 + 20*T1*T2 - 45*T1^2*T2 + 60*T1^3*T2 - 
      55*T1^4*T2 + 20*T1^5*T2 + 20*T1^6*T2 - 55*T1^7*T2 + 60*T1^8*T2 - 
      45*T1^9*T2 + 20*T1^10*T2 - 5*T1^11*T2 + 14*T2^2 - 45*T1*T2^2 + 
      83*T1^2*T2^2 - 76*T1^3*T2^2 + 44*T1^4*T2^2 + 22*T1^5*T2^2 - 
      33*T1^6*T2^2 + 22*T1^7*T2^2 + 44*T1^8*T2^2 - 76*T1^9*T2^2 + 
      83*T1^10*T2^2 - 45*T1^11*T2^2 + 14*T1^12*T2^2 - 26*T2^3 + 60*T1*T2^3 - 
      76*T1^2*T2^3 - 4*T1^3*T2^3 + 56*T1^4*T2^3 - 128*T1^5*T2^3 + 
      30*T1^6*T2^3 + 30*T1^7*T2^3 - 128*T1^8*T2^3 + 56*T1^9*T2^3 - 
      4*T1^10*T2^3 - 76*T1^11*T2^3 + 60*T1^12*T2^3 - 26*T1^13*T2^3 + 
      37*T2^4 - 55*T1*T2^4 + 44*T1^2*T2^4 + 56*T1^3*T2^4 + 30*T1^4*T2^4 - 
      64*T1^5*T2^4 + 362*T1^6*T2^4 - 360*T1^7*T2^4 + 362*T1^8*T2^4 - 
      64*T1^9*T2^4 + 30*T1^10*T2^4 + 56*T1^11*T2^4 + 44*T1^12*T2^4 - 
      55*T1^13*T2^4 + 37*T1^14*T2^4 - 41*T2^5 + 20*T1*T2^5 + 22*T1^2*T2^5 - 
      128*T1^3*T2^5 - 64*T1^4*T2^5 + 8*T1^5*T2^5 - 322*T1^6*T2^5 + 
      25*T1^7*T2^5 + 25*T1^8*T2^5 - 322*T1^9*T2^5 + 8*T1^10*T2^5 - 
      64*T1^11*T2^5 - 128*T1^12*T2^5 + 22*T1^13*T2^5 + 20*T1^14*T2^5 - 
      41*T1^15*T2^5 + 37*T2^6 + 20*T1*T2^6 - 33*T1^2*T2^6 + 30*T1^3*T2^6 + 
      362*T1^4*T2^6 - 322*T1^5*T2^6 + 857*T1^6*T2^6 - 429*T1^7*T2^6 + 
      613*T1^8*T2^6 - 429*T1^9*T2^6 + 857*T1^10*T2^6 - 322*T1^11*T2^6 + 
      362*T1^12*T2^6 + 30*T1^13*T2^6 - 33*T1^14*T2^6 + 20*T1^15*T2^6 + 
      37*T1^16*T2^6 - 26*T2^7 - 55*T1*T2^7 + 22*T1^2*T2^7 + 30*T1^3*T2^7 - 
      360*T1^4*T2^7 + 25*T1^5*T2^7 - 429*T1^6*T2^7 - 376*T1^7*T2^7 - 
      48*T1^8*T2^7 - 48*T1^9*T2^7 - 376*T1^10*T2^7 - 429*T1^11*T2^7 + 
      25*T1^12*T2^7 - 360*T1^13*T2^7 + 30*T1^14*T2^7 + 22*T1^15*T2^7 - 
      55*T1^16*T2^7 - 26*T1^17*T2^7 + 14*T2^8 + 60*T1*T2^8 + 44*T1^2*T2^8 - 
      128*T1^3*T2^8 + 362*T1^4*T2^8 + 25*T1^5*T2^8 + 613*T1^6*T2^8 - 
      48*T1^7*T2^8 + 1175*T1^8*T2^8 - 1107*T1^9*T2^8 + 1175*T1^10*T2^8 - 
      48*T1^11*T2^8 + 613*T1^12*T2^8 + 25*T1^13*T2^8 + 362*T1^14*T2^8 - 
      128*T1^15*T2^8 + 44*T1^16*T2^8 + 60*T1^17*T2^8 + 14*T1^18*T2^8 - 
      5*T2^9 - 45*T1*T2^9 - 76*T1^2*T2^9 + 56*T1^3*T2^9 - 64*T1^4*T2^9 - 
      322*T1^5*T2^9 - 429*T1^6*T2^9 - 48*T1^7*T2^9 - 1107*T1^8*T2^9 + 
      242*T1^9*T2^9 + 242*T1^10*T2^9 - 1107*T1^11*T2^9 - 48*T1^12*T2^9 - 
      429*T1^13*T2^9 - 322*T1^14*T2^9 - 64*T1^15*T2^9 + 56*T1^16*T2^9 - 
      76*T1^17*T2^9 - 45*T1^18*T2^9 - 5*T1^19*T2^9 + T2^10 + 20*T1*T2^10 + 
      83*T1^2*T2^10 - 4*T1^3*T2^10 + 30*T1^4*T2^10 + 8*T1^5*T2^10 + 
      857*T1^6*T2^10 - 376*T1^7*T2^10 + 1175*T1^8*T2^10 + 242*T1^9*T2^10 - 
      312*T1^10*T2^10 + 242*T1^11*T2^10 + 1175*T1^12*T2^10 - 
      376*T1^13*T2^10 + 857*T1^14*T2^10 + 8*T1^15*T2^10 + 30*T1^16*T2^10 - 
      4*T1^17*T2^10 + 83*T1^18*T2^10 + 20*T1^19*T2^10 + T1^20*T2^10 - 
      5*T1*T2^11 - 45*T1^2*T2^11 - 76*T1^3*T2^11 + 56*T1^4*T2^11 - 
      64*T1^5*T2^11 - 322*T1^6*T2^11 - 429*T1^7*T2^11 - 48*T1^8*T2^11 - 
      1107*T1^9*T2^11 + 242*T1^10*T2^11 + 242*T1^11*T2^11 - 
      1107*T1^12*T2^11 - 48*T1^13*T2^11 - 429*T1^14*T2^11 - 322*T1^15*T2^11 - 
      64*T1^16*T2^11 + 56*T1^17*T2^11 - 76*T1^18*T2^11 - 45*T1^19*T2^11 - 
      5*T1^20*T2^11 + 14*T1^2*T2^12 + 60*T1^3*T2^12 + 44*T1^4*T2^12 - 
      128*T1^5*T2^12 + 362*T1^6*T2^12 + 25*T1^7*T2^12 + 613*T1^8*T2^12 - 
      48*T1^9*T2^12 + 1175*T1^10*T2^12 - 1107*T1^11*T2^12 + 
      1175*T1^12*T2^12 - 48*T1^13*T2^12 + 613*T1^14*T2^12 + 25*T1^15*T2^12 + 
      362*T1^16*T2^12 - 128*T1^17*T2^12 + 44*T1^18*T2^12 + 60*T1^19*T2^12 + 
      14*T1^20*T2^12 - 26*T1^3*T2^13 - 55*T1^4*T2^13 + 22*T1^5*T2^13 + 
      30*T1^6*T2^13 - 360*T1^7*T2^13 + 25*T1^8*T2^13 - 429*T1^9*T2^13 - 
      376*T1^10*T2^13 - 48*T1^11*T2^13 - 48*T1^12*T2^13 - 376*T1^13*T2^13 - 
      429*T1^14*T2^13 + 25*T1^15*T2^13 - 360*T1^16*T2^13 + 30*T1^17*T2^13 + 
      22*T1^18*T2^13 - 55*T1^19*T2^13 - 26*T1^20*T2^13 + 37*T1^4*T2^14 + 
      20*T1^5*T2^14 - 33*T1^6*T2^14 + 30*T1^7*T2^14 + 362*T1^8*T2^14 - 
      322*T1^9*T2^14 + 857*T1^10*T2^14 - 429*T1^11*T2^14 + 613*T1^12*T2^14 - 
      429*T1^13*T2^14 + 857*T1^14*T2^14 - 322*T1^15*T2^14 + 362*T1^16*T2^14 + 
      30*T1^17*T2^14 - 33*T1^18*T2^14 + 20*T1^19*T2^14 + 37*T1^20*T2^14 - 
      41*T1^5*T2^15 + 20*T1^6*T2^15 + 22*T1^7*T2^15 - 128*T1^8*T2^15 - 
      64*T1^9*T2^15 + 8*T1^10*T2^15 - 322*T1^11*T2^15 + 25*T1^12*T2^15 + 
      25*T1^13*T2^15 - 322*T1^14*T2^15 + 8*T1^15*T2^15 - 64*T1^16*T2^15 - 
      128*T1^17*T2^15 + 22*T1^18*T2^15 + 20*T1^19*T2^15 - 41*T1^20*T2^15 + 
      37*T1^6*T2^16 - 55*T1^7*T2^16 + 44*T1^8*T2^16 + 56*T1^9*T2^16 + 
      30*T1^10*T2^16 - 64*T1^11*T2^16 + 362*T1^12*T2^16 - 360*T1^13*T2^16 + 
      362*T1^14*T2^16 - 64*T1^15*T2^16 + 30*T1^16*T2^16 + 56*T1^17*T2^16 + 
      44*T1^18*T2^16 - 55*T1^19*T2^16 + 37*T1^20*T2^16 - 26*T1^7*T2^17 + 
      60*T1^8*T2^17 - 76*T1^9*T2^17 - 4*T1^10*T2^17 + 56*T1^11*T2^17 - 
      128*T1^12*T2^17 + 30*T1^13*T2^17 + 30*T1^14*T2^17 - 128*T1^15*T2^17 + 
      56*T1^16*T2^17 - 4*T1^17*T2^17 - 76*T1^18*T2^17 + 60*T1^19*T2^17 - 
      26*T1^20*T2^17 + 14*T1^8*T2^18 - 45*T1^9*T2^18 + 83*T1^10*T2^18 - 
      76*T1^11*T2^18 + 44*T1^12*T2^18 + 22*T1^13*T2^18 - 33*T1^14*T2^18 + 
      22*T1^15*T2^18 + 44*T1^16*T2^18 - 76*T1^17*T2^18 + 83*T1^18*T2^18 - 
      45*T1^19*T2^18 + 14*T1^20*T2^18 - 5*T1^9*T2^19 + 20*T1^10*T2^19 - 
      45*T1^11*T2^19 + 60*T1^12*T2^19 - 55*T1^13*T2^19 + 20*T1^14*T2^19 + 
      20*T1^15*T2^19 - 55*T1^16*T2^19 + 60*T1^17*T2^19 - 45*T1^18*T2^19 + 
      20*T1^19*T2^19 - 5*T1^20*T2^19 + T1^10*T2^20 - 5*T1^11*T2^20 + 
      14*T1^12*T2^20 - 26*T1^13*T2^20 + 37*T1^14*T2^20 - 41*T1^15*T2^20 + 
      37*T1^16*T2^20 - 26*T1^17*T2^20 + 14*T1^18*T2^20 - 5*T1^19*T2^20 + 
      T1^20*T2^20)/(T1^10*T2^10))}, 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), 0}, 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), -((2 - 10*T1 + 26*T1^2 - 46*T1^3 + 60*T1^4 - 
      66*T1^5 + 60*T1^6 - 46*T1^7 + 26*T1^8 - 10*T1^9 + 2*T1^10 - 10*T2 + 
      40*T1*T2 - 80*T1^2*T2 + 100*T1^3*T2 - 70*T1^4*T2 + 30*T1^5*T2 + 
      30*T1^6*T2 - 70*T1^7*T2 + 100*T1^8*T2 - 80*T1^9*T2 + 40*T1^10*T2 - 
      10*T1^11*T2 + 26*T2^2 - 80*T1*T2^2 + 111*T1^2*T2^2 - 65*T1^3*T2^2 - 
      62*T1^4*T2^2 + 92*T1^5*T2^2 - 143*T1^6*T2^2 + 92*T1^7*T2^2 - 
      62*T1^8*T2^2 - 65*T1^9*T2^2 + 111*T1^10*T2^2 - 80*T1^11*T2^2 + 
      26*T1^12*T2^2 - 46*T2^3 + 100*T1*T2^3 - 65*T1^2*T2^3 - 72*T1^3*T2^3 + 
      225*T1^4*T2^3 - 69*T1^5*T2^3 + 90*T1^6*T2^3 + 90*T1^7*T2^3 - 
      69*T1^8*T2^3 + 225*T1^9*T2^3 - 72*T1^10*T2^3 - 65*T1^11*T2^3 + 
      100*T1^12*T2^3 - 46*T1^13*T2^3 + 60*T2^4 - 70*T1*T2^4 - 62*T1^2*T2^4 + 
      225*T1^3*T2^4 - 267*T1^4*T2^4 - 132*T1^5*T2^4 - 69*T1^6*T2^4 - 
      169*T1^7*T2^4 - 69*T1^8*T2^4 - 132*T1^9*T2^4 - 267*T1^10*T2^4 + 
      225*T1^11*T2^4 - 62*T1^12*T2^4 - 70*T1^13*T2^4 + 60*T1^14*T2^4 - 
      66*T2^5 + 30*T1*T2^5 + 92*T1^2*T2^5 - 69*T1^3*T2^5 - 132*T1^4*T2^5 + 
      628*T1^5*T2^5 + 16*T1^6*T2^5 + 280*T1^7*T2^5 + 280*T1^8*T2^5 + 
      16*T1^9*T2^5 + 628*T1^10*T2^5 - 132*T1^11*T2^5 - 69*T1^12*T2^5 + 
      92*T1^13*T2^5 + 30*T1^14*T2^5 - 66*T1^15*T2^5 + 60*T2^6 + 30*T1*T2^6 - 
      143*T1^2*T2^6 + 90*T1^3*T2^6 - 69*T1^4*T2^6 + 16*T1^5*T2^6 - 
      1250*T1^6*T2^6 + 720*T1^7*T2^6 - 1442*T1^8*T2^6 + 720*T1^9*T2^6 - 
      1250*T1^10*T2^6 + 16*T1^11*T2^6 - 69*T1^12*T2^6 + 90*T1^13*T2^6 - 
      143*T1^14*T2^6 + 30*T1^15*T2^6 + 60*T1^16*T2^6 - 46*T2^7 - 70*T1*T2^7 + 
      92*T1^2*T2^7 + 90*T1^3*T2^7 - 169*T1^4*T2^7 + 280*T1^5*T2^7 + 
      720*T1^6*T2^7 + 444*T1^7*T2^7 + 440*T1^8*T2^7 + 440*T1^9*T2^7 + 
      444*T1^10*T2^7 + 720*T1^11*T2^7 + 280*T1^12*T2^7 - 169*T1^13*T2^7 + 
      90*T1^14*T2^7 + 92*T1^15*T2^7 - 70*T1^16*T2^7 - 46*T1^17*T2^7 + 
      26*T2^8 + 100*T1*T2^8 - 62*T1^2*T2^8 - 69*T1^3*T2^8 - 69*T1^4*T2^8 + 
      280*T1^5*T2^8 - 1442*T1^6*T2^8 + 440*T1^7*T2^8 - 1930*T1^8*T2^8 + 
      1004*T1^9*T2^8 - 1930*T1^10*T2^8 + 440*T1^11*T2^8 - 1442*T1^12*T2^8 + 
      280*T1^13*T2^8 - 69*T1^14*T2^8 - 69*T1^15*T2^8 - 62*T1^16*T2^8 + 
      100*T1^17*T2^8 + 26*T1^18*T2^8 - 10*T2^9 - 80*T1*T2^9 - 65*T1^2*T2^9 + 
      225*T1^3*T2^9 - 132*T1^4*T2^9 + 16*T1^5*T2^9 + 720*T1^6*T2^9 + 
      440*T1^7*T2^9 + 1004*T1^8*T2^9 + 400*T1^9*T2^9 + 400*T1^10*T2^9 + 
      1004*T1^11*T2^9 + 440*T1^12*T2^9 + 720*T1^13*T2^9 + 16*T1^14*T2^9 - 
      132*T1^15*T2^9 + 225*T1^16*T2^9 - 65*T1^17*T2^9 - 80*T1^18*T2^9 - 
      10*T1^19*T2^9 + 2*T2^10 + 40*T1*T2^10 + 111*T1^2*T2^10 - 
      72*T1^3*T2^10 - 267*T1^4*T2^10 + 628*T1^5*T2^10 - 1250*T1^6*T2^10 + 
      444*T1^7*T2^10 - 1930*T1^8*T2^10 + 400*T1^9*T2^10 - 1452*T1^10*T2^10 + 
      400*T1^11*T2^10 - 1930*T1^12*T2^10 + 444*T1^13*T2^10 - 
      1250*T1^14*T2^10 + 628*T1^15*T2^10 - 267*T1^16*T2^10 - 72*T1^17*T2^10 + 
      111*T1^18*T2^10 + 40*T1^19*T2^10 + 2*T1^20*T2^10 - 10*T1*T2^11 - 
      80*T1^2*T2^11 - 65*T1^3*T2^11 + 225*T1^4*T2^11 - 132*T1^5*T2^11 + 
      16*T1^6*T2^11 + 720*T1^7*T2^11 + 440*T1^8*T2^11 + 1004*T1^9*T2^11 + 
      400*T1^10*T2^11 + 400*T1^11*T2^11 + 1004*T1^12*T2^11 + 
      440*T1^13*T2^11 + 720*T1^14*T2^11 + 16*T1^15*T2^11 - 132*T1^16*T2^11 + 
      225*T1^17*T2^11 - 65*T1^18*T2^11 - 80*T1^19*T2^11 - 10*T1^20*T2^11 + 
      26*T1^2*T2^12 + 100*T1^3*T2^12 - 62*T1^4*T2^12 - 69*T1^5*T2^12 - 
      69*T1^6*T2^12 + 280*T1^7*T2^12 - 1442*T1^8*T2^12 + 440*T1^9*T2^12 - 
      1930*T1^10*T2^12 + 1004*T1^11*T2^12 - 1930*T1^12*T2^12 + 
      440*T1^13*T2^12 - 1442*T1^14*T2^12 + 280*T1^15*T2^12 - 69*T1^16*T2^12 - 
      69*T1^17*T2^12 - 62*T1^18*T2^12 + 100*T1^19*T2^12 + 26*T1^20*T2^12 - 
      46*T1^3*T2^13 - 70*T1^4*T2^13 + 92*T1^5*T2^13 + 90*T1^6*T2^13 - 
      169*T1^7*T2^13 + 280*T1^8*T2^13 + 720*T1^9*T2^13 + 444*T1^10*T2^13 + 
      440*T1^11*T2^13 + 440*T1^12*T2^13 + 444*T1^13*T2^13 + 720*T1^14*T2^13 + 
      280*T1^15*T2^13 - 169*T1^16*T2^13 + 90*T1^17*T2^13 + 92*T1^18*T2^13 - 
      70*T1^19*T2^13 - 46*T1^20*T2^13 + 60*T1^4*T2^14 + 30*T1^5*T2^14 - 
      143*T1^6*T2^14 + 90*T1^7*T2^14 - 69*T1^8*T2^14 + 16*T1^9*T2^14 - 
      1250*T1^10*T2^14 + 720*T1^11*T2^14 - 1442*T1^12*T2^14 + 
      720*T1^13*T2^14 - 1250*T1^14*T2^14 + 16*T1^15*T2^14 - 69*T1^16*T2^14 + 
      90*T1^17*T2^14 - 143*T1^18*T2^14 + 30*T1^19*T2^14 + 60*T1^20*T2^14 - 
      66*T1^5*T2^15 + 30*T1^6*T2^15 + 92*T1^7*T2^15 - 69*T1^8*T2^15 - 
      132*T1^9*T2^15 + 628*T1^10*T2^15 + 16*T1^11*T2^15 + 280*T1^12*T2^15 + 
      280*T1^13*T2^15 + 16*T1^14*T2^15 + 628*T1^15*T2^15 - 132*T1^16*T2^15 - 
      69*T1^17*T2^15 + 92*T1^18*T2^15 + 30*T1^19*T2^15 - 66*T1^20*T2^15 + 
      60*T1^6*T2^16 - 70*T1^7*T2^16 - 62*T1^8*T2^16 + 225*T1^9*T2^16 - 
      267*T1^10*T2^16 - 132*T1^11*T2^16 - 69*T1^12*T2^16 - 169*T1^13*T2^16 - 
      69*T1^14*T2^16 - 132*T1^15*T2^16 - 267*T1^16*T2^16 + 225*T1^17*T2^16 - 
      62*T1^18*T2^16 - 70*T1^19*T2^16 + 60*T1^20*T2^16 - 46*T1^7*T2^17 + 
      100*T1^8*T2^17 - 65*T1^9*T2^17 - 72*T1^10*T2^17 + 225*T1^11*T2^17 - 
      69*T1^12*T2^17 + 90*T1^13*T2^17 + 90*T1^14*T2^17 - 69*T1^15*T2^17 + 
      225*T1^16*T2^17 - 72*T1^17*T2^17 - 65*T1^18*T2^17 + 100*T1^19*T2^17 - 
      46*T1^20*T2^17 + 26*T1^8*T2^18 - 80*T1^9*T2^18 + 111*T1^10*T2^18 - 
      65*T1^11*T2^18 - 62*T1^12*T2^18 + 92*T1^13*T2^18 - 143*T1^14*T2^18 + 
      92*T1^15*T2^18 - 62*T1^16*T2^18 - 65*T1^17*T2^18 + 111*T1^18*T2^18 - 
      80*T1^19*T2^18 + 26*T1^20*T2^18 - 10*T1^9*T2^19 + 40*T1^10*T2^19 - 
      80*T1^11*T2^19 + 100*T1^12*T2^19 - 70*T1^13*T2^19 + 30*T1^14*T2^19 + 
      30*T1^15*T2^19 - 70*T1^16*T2^19 + 100*T1^17*T2^19 - 80*T1^18*T2^19 + 
      40*T1^19*T2^19 - 10*T1^20*T2^19 + 2*T1^10*T2^20 - 10*T1^11*T2^20 + 
      26*T1^12*T2^20 - 46*T1^13*T2^20 + 60*T1^14*T2^20 - 66*T1^15*T2^20 + 
      60*T1^16*T2^20 - 46*T1^17*T2^20 + 26*T1^18*T2^20 - 10*T1^19*T2^20 + 
      2*T1^20*T2^20)/(T1^10*T2^10))}, 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), (7 - 28*T1 + 63*T1^2 - 94*T1^3 + 101*T1^4 - 94*T1^5 + 63*T1^6 - 
     28*T1^7 + 7*T1^8 - 28*T2 + 84*T1*T2 - 140*T1^2*T2 + 124*T1^3*T2 - 
     28*T1^4*T2 - 28*T1^5*T2 + 124*T1^6*T2 - 140*T1^7*T2 + 84*T1^8*T2 - 
     28*T1^9*T2 + 63*T2^2 - 140*T1*T2^2 + 174*T1^2*T2^2 - 54*T1^3*T2^2 - 
     112*T1^4*T2^2 + 40*T1^5*T2^2 - 112*T1^6*T2^2 - 54*T1^7*T2^2 + 
     174*T1^8*T2^2 - 140*T1^9*T2^2 + 63*T1^10*T2^2 - 94*T2^3 + 124*T1*T2^3 - 
     54*T1^2*T2^3 - 206*T1^3*T2^3 + 317*T1^4*T2^3 + 43*T1^5*T2^3 + 
     43*T1^6*T2^3 + 317*T1^7*T2^3 - 206*T1^8*T2^3 - 54*T1^9*T2^3 + 
     124*T1^10*T2^3 - 94*T1^11*T2^3 + 101*T2^4 - 28*T1*T2^4 - 112*T1^2*T2^4 + 
     317*T1^3*T2^4 - 81*T1^4*T2^4 - 551*T1^5*T2^4 + 221*T1^6*T2^4 - 
     551*T1^7*T2^4 - 81*T1^8*T2^4 + 317*T1^9*T2^4 - 112*T1^10*T2^4 - 
     28*T1^11*T2^4 + 101*T1^12*T2^4 - 94*T2^5 - 28*T1*T2^5 + 40*T1^2*T2^5 + 
     43*T1^3*T2^5 - 551*T1^4*T2^5 + 896*T1^5*T2^5 + 34*T1^6*T2^5 + 
     34*T1^7*T2^5 + 896*T1^8*T2^5 - 551*T1^9*T2^5 + 43*T1^10*T2^5 + 
     40*T1^11*T2^5 - 28*T1^12*T2^5 - 94*T1^13*T2^5 + 63*T2^6 + 124*T1*T2^6 - 
     112*T1^2*T2^6 + 43*T1^3*T2^6 + 221*T1^4*T2^6 + 34*T1^5*T2^6 - 
     1224*T1^6*T2^6 + 956*T1^7*T2^6 - 1224*T1^8*T2^6 + 34*T1^9*T2^6 + 
     221*T1^10*T2^6 + 43*T1^11*T2^6 - 112*T1^12*T2^6 + 124*T1^13*T2^6 + 
     63*T1^14*T2^6 - 28*T2^7 - 140*T1*T2^7 - 54*T1^2*T2^7 + 317*T1^3*T2^7 - 
     551*T1^4*T2^7 + 34*T1^5*T2^7 + 956*T1^6*T2^7 - 182*T1^7*T2^7 - 
     182*T1^8*T2^7 + 956*T1^9*T2^7 + 34*T1^10*T2^7 - 551*T1^11*T2^7 + 
     317*T1^12*T2^7 - 54*T1^13*T2^7 - 140*T1^14*T2^7 - 28*T1^15*T2^7 + 
     7*T2^8 + 84*T1*T2^8 + 174*T1^2*T2^8 - 206*T1^3*T2^8 - 81*T1^4*T2^8 + 
     896*T1^5*T2^8 - 1224*T1^6*T2^8 - 182*T1^7*T2^8 + 396*T1^8*T2^8 - 
     182*T1^9*T2^8 - 1224*T1^10*T2^8 + 896*T1^11*T2^8 - 81*T1^12*T2^8 - 
     206*T1^13*T2^8 + 174*T1^14*T2^8 + 84*T1^15*T2^8 + 7*T1^16*T2^8 - 
     28*T1*T2^9 - 140*T1^2*T2^9 - 54*T1^3*T2^9 + 317*T1^4*T2^9 - 
     551*T1^5*T2^9 + 34*T1^6*T2^9 + 956*T1^7*T2^9 - 182*T1^8*T2^9 - 
     182*T1^9*T2^9 + 956*T1^10*T2^9 + 34*T1^11*T2^9 - 551*T1^12*T2^9 + 
     317*T1^13*T2^9 - 54*T1^14*T2^9 - 140*T1^15*T2^9 - 28*T1^16*T2^9 + 
     63*T1^2*T2^10 + 124*T1^3*T2^10 - 112*T1^4*T2^10 + 43*T1^5*T2^10 + 
     221*T1^6*T2^10 + 34*T1^7*T2^10 - 1224*T1^8*T2^10 + 956*T1^9*T2^10 - 
     1224*T1^10*T2^10 + 34*T1^11*T2^10 + 221*T1^12*T2^10 + 43*T1^13*T2^10 - 
     112*T1^14*T2^10 + 124*T1^15*T2^10 + 63*T1^16*T2^10 - 94*T1^3*T2^11 - 
     28*T1^4*T2^11 + 40*T1^5*T2^11 + 43*T1^6*T2^11 - 551*T1^7*T2^11 + 
     896*T1^8*T2^11 + 34*T1^9*T2^11 + 34*T1^10*T2^11 + 896*T1^11*T2^11 - 
     551*T1^12*T2^11 + 43*T1^13*T2^11 + 40*T1^14*T2^11 - 28*T1^15*T2^11 - 
     94*T1^16*T2^11 + 101*T1^4*T2^12 - 28*T1^5*T2^12 - 112*T1^6*T2^12 + 
     317*T1^7*T2^12 - 81*T1^8*T2^12 - 551*T1^9*T2^12 + 221*T1^10*T2^12 - 
     551*T1^11*T2^12 - 81*T1^12*T2^12 + 317*T1^13*T2^12 - 112*T1^14*T2^12 - 
     28*T1^15*T2^12 + 101*T1^16*T2^12 - 94*T1^5*T2^13 + 124*T1^6*T2^13 - 
     54*T1^7*T2^13 - 206*T1^8*T2^13 + 317*T1^9*T2^13 + 43*T1^10*T2^13 + 
     43*T1^11*T2^13 + 317*T1^12*T2^13 - 206*T1^13*T2^13 - 54*T1^14*T2^13 + 
     124*T1^15*T2^13 - 94*T1^16*T2^13 + 63*T1^6*T2^14 - 140*T1^7*T2^14 + 
     174*T1^8*T2^14 - 54*T1^9*T2^14 - 112*T1^10*T2^14 + 40*T1^11*T2^14 - 
     112*T1^12*T2^14 - 54*T1^13*T2^14 + 174*T1^14*T2^14 - 140*T1^15*T2^14 + 
     63*T1^16*T2^14 - 28*T1^7*T2^15 + 84*T1^8*T2^15 - 140*T1^9*T2^15 + 
     124*T1^10*T2^15 - 28*T1^11*T2^15 - 28*T1^12*T2^15 + 124*T1^13*T2^15 - 
     140*T1^14*T2^15 + 84*T1^15*T2^15 - 28*T1^16*T2^15 + 7*T1^8*T2^16 - 
     28*T1^9*T2^16 + 63*T1^10*T2^16 - 94*T1^11*T2^16 + 101*T1^12*T2^16 - 
     94*T1^13*T2^16 + 63*T1^14*T2^16 - 28*T1^15*T2^16 + 7*T1^16*T2^16)/
    (T1^8*T2^8)}, 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), -((9 - 45*T1 + 112*T1^2 - 183*T1^3 + 209*T1^4 - 183*T1^5 + 
      112*T1^6 - 45*T1^7 + 9*T1^8 - 45*T2 + 180*T1*T2 - 335*T1^2*T2 + 
      355*T1^3*T2 - 130*T1^4*T2 - 130*T1^5*T2 + 355*T1^6*T2 - 335*T1^7*T2 + 
      180*T1^8*T2 - 45*T1^9*T2 + 112*T2^2 - 335*T1*T2^2 + 367*T1^2*T2^2 + 
      17*T1^3*T2^2 - 697*T1^4*T2^2 + 829*T1^5*T2^2 - 697*T1^6*T2^2 + 
      17*T1^7*T2^2 + 367*T1^8*T2^2 - 335*T1^9*T2^2 + 112*T1^10*T2^2 - 
      183*T2^3 + 355*T1*T2^3 + 17*T1^2*T2^3 - 790*T1^3*T2^3 + 
      1332*T1^4*T2^3 - 344*T1^5*T2^3 - 344*T1^6*T2^3 + 1332*T1^7*T2^3 - 
      790*T1^8*T2^3 + 17*T1^9*T2^3 + 355*T1^10*T2^3 - 183*T1^11*T2^3 + 
      209*T2^4 - 130*T1*T2^4 - 697*T1^2*T2^4 + 1332*T1^3*T2^4 - 
      1045*T1^4*T2^4 - 1011*T1^5*T2^4 + 879*T1^6*T2^4 - 1011*T1^7*T2^4 - 
      1045*T1^8*T2^4 + 1332*T1^9*T2^4 - 697*T1^10*T2^4 - 130*T1^11*T2^4 + 
      209*T1^12*T2^4 - 183*T2^5 - 130*T1*T2^5 + 829*T1^2*T2^5 - 
      344*T1^3*T2^5 - 1011*T1^4*T2^5 + 2902*T1^5*T2^5 - 424*T1^6*T2^5 - 
      424*T1^7*T2^5 + 2902*T1^8*T2^5 - 1011*T1^9*T2^5 - 344*T1^10*T2^5 + 
      829*T1^11*T2^5 - 130*T1^12*T2^5 - 183*T1^13*T2^5 + 112*T2^6 + 
      355*T1*T2^6 - 697*T1^2*T2^6 - 344*T1^3*T2^6 + 879*T1^4*T2^6 - 
      424*T1^5*T2^6 - 4310*T1^6*T2^6 + 4008*T1^7*T2^6 - 4310*T1^8*T2^6 - 
      424*T1^9*T2^6 + 879*T1^10*T2^6 - 344*T1^11*T2^6 - 697*T1^12*T2^6 + 
      355*T1^13*T2^6 + 112*T1^14*T2^6 - 45*T2^7 - 335*T1*T2^7 + 
      17*T1^2*T2^7 + 1332*T1^3*T2^7 - 1011*T1^4*T2^7 - 424*T1^5*T2^7 + 
      4008*T1^6*T2^7 - 518*T1^7*T2^7 - 518*T1^8*T2^7 + 4008*T1^9*T2^7 - 
      424*T1^10*T2^7 - 1011*T1^11*T2^7 + 1332*T1^12*T2^7 + 17*T1^13*T2^7 - 
      335*T1^14*T2^7 - 45*T1^15*T2^7 + 9*T2^8 + 180*T1*T2^8 + 367*T1^2*T2^8 - 
      790*T1^3*T2^8 - 1045*T1^4*T2^8 + 2902*T1^5*T2^8 - 4310*T1^6*T2^8 - 
      518*T1^7*T2^8 - 84*T1^8*T2^8 - 518*T1^9*T2^8 - 4310*T1^10*T2^8 + 
      2902*T1^11*T2^8 - 1045*T1^12*T2^8 - 790*T1^13*T2^8 + 367*T1^14*T2^8 + 
      180*T1^15*T2^8 + 9*T1^16*T2^8 - 45*T1*T2^9 - 335*T1^2*T2^9 + 
      17*T1^3*T2^9 + 1332*T1^4*T2^9 - 1011*T1^5*T2^9 - 424*T1^6*T2^9 + 
      4008*T1^7*T2^9 - 518*T1^8*T2^9 - 518*T1^9*T2^9 + 4008*T1^10*T2^9 - 
      424*T1^11*T2^9 - 1011*T1^12*T2^9 + 1332*T1^13*T2^9 + 17*T1^14*T2^9 - 
      335*T1^15*T2^9 - 45*T1^16*T2^9 + 112*T1^2*T2^10 + 355*T1^3*T2^10 - 
      697*T1^4*T2^10 - 344*T1^5*T2^10 + 879*T1^6*T2^10 - 424*T1^7*T2^10 - 
      4310*T1^8*T2^10 + 4008*T1^9*T2^10 - 4310*T1^10*T2^10 - 
      424*T1^11*T2^10 + 879*T1^12*T2^10 - 344*T1^13*T2^10 - 697*T1^14*T2^10 + 
      355*T1^15*T2^10 + 112*T1^16*T2^10 - 183*T1^3*T2^11 - 130*T1^4*T2^11 + 
      829*T1^5*T2^11 - 344*T1^6*T2^11 - 1011*T1^7*T2^11 + 2902*T1^8*T2^11 - 
      424*T1^9*T2^11 - 424*T1^10*T2^11 + 2902*T1^11*T2^11 - 
      1011*T1^12*T2^11 - 344*T1^13*T2^11 + 829*T1^14*T2^11 - 
      130*T1^15*T2^11 - 183*T1^16*T2^11 + 209*T1^4*T2^12 - 130*T1^5*T2^12 - 
      697*T1^6*T2^12 + 1332*T1^7*T2^12 - 1045*T1^8*T2^12 - 1011*T1^9*T2^12 + 
      879*T1^10*T2^12 - 1011*T1^11*T2^12 - 1045*T1^12*T2^12 + 
      1332*T1^13*T2^12 - 697*T1^14*T2^12 - 130*T1^15*T2^12 + 
      209*T1^16*T2^12 - 183*T1^5*T2^13 + 355*T1^6*T2^13 + 17*T1^7*T2^13 - 
      790*T1^8*T2^13 + 1332*T1^9*T2^13 - 344*T1^10*T2^13 - 344*T1^11*T2^13 + 
      1332*T1^12*T2^13 - 790*T1^13*T2^13 + 17*T1^14*T2^13 + 355*T1^15*T2^13 - 
      183*T1^16*T2^13 + 112*T1^6*T2^14 - 335*T1^7*T2^14 + 367*T1^8*T2^14 + 
      17*T1^9*T2^14 - 697*T1^10*T2^14 + 829*T1^11*T2^14 - 697*T1^12*T2^14 + 
      17*T1^13*T2^14 + 367*T1^14*T2^14 - 335*T1^15*T2^14 + 112*T1^16*T2^14 - 
      45*T1^7*T2^15 + 180*T1^8*T2^15 - 335*T1^9*T2^15 + 355*T1^10*T2^15 - 
      130*T1^11*T2^15 - 130*T1^12*T2^15 + 355*T1^13*T2^15 - 335*T1^14*T2^15 + 
      180*T1^15*T2^15 - 45*T1^16*T2^15 + 9*T1^8*T2^16 - 45*T1^9*T2^16 + 
      112*T1^10*T2^16 - 183*T1^11*T2^16 + 209*T1^12*T2^16 - 183*T1^13*T2^16 + 
      112*T1^14*T2^16 - 45*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8))}, 
 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), 
   -((T1^2 - 2*T1^3 + 2*T1^4 - 2*T1^5 + T1^6 - 3*T1^2*T2 + 2*T1^3*T2 + 
      T1^4*T2 + T1^5*T2 + 2*T1^6*T2 - 3*T1^7*T2 + T2^2 - 3*T1*T2^2 + 
      11*T1^2*T2^2 - 7*T1^3*T2^2 + 9*T1^4*T2^2 - 23*T1^5*T2^2 + 9*T1^6*T2^2 - 
      7*T1^7*T2^2 + 11*T1^8*T2^2 - 3*T1^9*T2^2 + T1^10*T2^2 - 2*T2^3 + 
      2*T1*T2^3 - 7*T1^2*T2^3 - 10*T1^3*T2^3 - 2*T1^4*T2^3 + 21*T1^5*T2^3 + 
      21*T1^6*T2^3 - 2*T1^7*T2^3 - 10*T1^8*T2^3 - 7*T1^9*T2^3 + 
      2*T1^10*T2^3 - 2*T1^11*T2^3 + 2*T2^4 + T1*T2^4 + 9*T1^2*T2^4 - 
      2*T1^3*T2^4 + 57*T1^4*T2^4 - 78*T1^5*T2^4 + 15*T1^6*T2^4 - 
      78*T1^7*T2^4 + 57*T1^8*T2^4 - 2*T1^9*T2^4 + 9*T1^10*T2^4 + T1^11*T2^4 + 
      2*T1^12*T2^4 - 2*T2^5 + T1*T2^5 - 23*T1^2*T2^5 + 21*T1^3*T2^5 - 
      78*T1^4*T2^5 + 34*T1^5*T2^5 + 50*T1^6*T2^5 + 50*T1^7*T2^5 + 
      34*T1^8*T2^5 - 78*T1^9*T2^5 + 21*T1^10*T2^5 - 23*T1^11*T2^5 + 
      T1^12*T2^5 - 2*T1^13*T2^5 + T2^6 + 2*T1*T2^6 + 9*T1^2*T2^6 + 
      21*T1^3*T2^6 + 15*T1^4*T2^6 + 50*T1^5*T2^6 - 49*T1^6*T2^6 - 
      97*T1^7*T2^6 - 49*T1^8*T2^6 + 50*T1^9*T2^6 + 15*T1^10*T2^6 + 
      21*T1^11*T2^6 + 9*T1^12*T2^6 + 2*T1^13*T2^6 + T1^14*T2^6 - 3*T1*T2^7 - 
      7*T1^2*T2^7 - 2*T1^3*T2^7 - 78*T1^4*T2^7 + 50*T1^5*T2^7 - 
      97*T1^6*T2^7 + 132*T1^7*T2^7 + 132*T1^8*T2^7 - 97*T1^9*T2^7 + 
      50*T1^10*T2^7 - 78*T1^11*T2^7 - 2*T1^12*T2^7 - 7*T1^13*T2^7 - 
      3*T1^14*T2^7 + 11*T1^2*T2^8 - 10*T1^3*T2^8 + 57*T1^4*T2^8 + 
      34*T1^5*T2^8 - 49*T1^6*T2^8 + 132*T1^7*T2^8 - 336*T1^8*T2^8 + 
      132*T1^9*T2^8 - 49*T1^10*T2^8 + 34*T1^11*T2^8 + 57*T1^12*T2^8 - 
      10*T1^13*T2^8 + 11*T1^14*T2^8 - 3*T1^2*T2^9 - 7*T1^3*T2^9 - 
      2*T1^4*T2^9 - 78*T1^5*T2^9 + 50*T1^6*T2^9 - 97*T1^7*T2^9 + 
      132*T1^8*T2^9 + 132*T1^9*T2^9 - 97*T1^10*T2^9 + 50*T1^11*T2^9 - 
      78*T1^12*T2^9 - 2*T1^13*T2^9 - 7*T1^14*T2^9 - 3*T1^15*T2^9 + 
      T1^2*T2^10 + 2*T1^3*T2^10 + 9*T1^4*T2^10 + 21*T1^5*T2^10 + 
      15*T1^6*T2^10 + 50*T1^7*T2^10 - 49*T1^8*T2^10 - 97*T1^9*T2^10 - 
      49*T1^10*T2^10 + 50*T1^11*T2^10 + 15*T1^12*T2^10 + 21*T1^13*T2^10 + 
      9*T1^14*T2^10 + 2*T1^15*T2^10 + T1^16*T2^10 - 2*T1^3*T2^11 + 
      T1^4*T2^11 - 23*T1^5*T2^11 + 21*T1^6*T2^11 - 78*T1^7*T2^11 + 
      34*T1^8*T2^11 + 50*T1^9*T2^11 + 50*T1^10*T2^11 + 34*T1^11*T2^11 - 
      78*T1^12*T2^11 + 21*T1^13*T2^11 - 23*T1^14*T2^11 + T1^15*T2^11 - 
      2*T1^16*T2^11 + 2*T1^4*T2^12 + T1^5*T2^12 + 9*T1^6*T2^12 - 
      2*T1^7*T2^12 + 57*T1^8*T2^12 - 78*T1^9*T2^12 + 15*T1^10*T2^12 - 
      78*T1^11*T2^12 + 57*T1^12*T2^12 - 2*T1^13*T2^12 + 9*T1^14*T2^12 + 
      T1^15*T2^12 + 2*T1^16*T2^12 - 2*T1^5*T2^13 + 2*T1^6*T2^13 - 
      7*T1^7*T2^13 - 10*T1^8*T2^13 - 2*T1^9*T2^13 + 21*T1^10*T2^13 + 
      21*T1^11*T2^13 - 2*T1^12*T2^13 - 10*T1^13*T2^13 - 7*T1^14*T2^13 + 
      2*T1^15*T2^13 - 2*T1^16*T2^13 + T1^6*T2^14 - 3*T1^7*T2^14 + 
      11*T1^8*T2^14 - 7*T1^9*T2^14 + 9*T1^10*T2^14 - 23*T1^11*T2^14 + 
      9*T1^12*T2^14 - 7*T1^13*T2^14 + 11*T1^14*T2^14 - 3*T1^15*T2^14 + 
      T1^16*T2^14 - 3*T1^9*T2^15 + 2*T1^10*T2^15 + T1^11*T2^15 + 
      T1^12*T2^15 + 2*T1^13*T2^15 - 3*T1^14*T2^15 + T1^10*T2^16 - 
      2*T1^11*T2^16 + 2*T1^12*T2^16 - 2*T1^13*T2^16 + T1^14*T2^16)/
     (T1^8*T2^8))}, 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), (7 - 28*T1 + 63*T1^2 - 97*T1^3 + 107*T1^4 - 97*T1^5 + 63*T1^6 - 
     28*T1^7 + 7*T1^8 - 28*T2 + 84*T1*T2 - 140*T1^2*T2 + 136*T1^3*T2 - 
     40*T1^4*T2 - 40*T1^5*T2 + 136*T1^6*T2 - 140*T1^7*T2 + 84*T1^8*T2 - 
     28*T1^9*T2 + 63*T2^2 - 140*T1*T2^2 + 174*T1^2*T2^2 - 81*T1^3*T2^2 - 
     110*T1^4*T2^2 + 90*T1^5*T2^2 - 110*T1^6*T2^2 - 81*T1^7*T2^2 + 
     174*T1^8*T2^2 - 140*T1^9*T2^2 + 63*T1^10*T2^2 - 97*T2^3 + 136*T1*T2^3 - 
     81*T1^2*T2^3 - 130*T1^3*T2^3 + 329*T1^4*T2^3 - 26*T1^5*T2^3 - 
     26*T1^6*T2^3 + 329*T1^7*T2^3 - 130*T1^8*T2^3 - 81*T1^9*T2^3 + 
     136*T1^10*T2^3 - 97*T1^11*T2^3 + 107*T2^4 - 40*T1*T2^4 - 110*T1^2*T2^4 + 
     329*T1^3*T2^4 - 307*T1^4*T2^4 - 338*T1^5*T2^4 + 223*T1^6*T2^4 - 
     338*T1^7*T2^4 - 307*T1^8*T2^4 + 329*T1^9*T2^4 - 110*T1^10*T2^4 - 
     40*T1^11*T2^4 + 107*T1^12*T2^4 - 97*T2^5 - 40*T1*T2^5 + 90*T1^2*T2^5 - 
     26*T1^3*T2^5 - 338*T1^4*T2^5 + 922*T1^5*T2^5 - 163*T1^6*T2^5 - 
     163*T1^7*T2^5 + 922*T1^8*T2^5 - 338*T1^9*T2^5 - 26*T1^10*T2^5 + 
     90*T1^11*T2^5 - 40*T1^12*T2^5 - 97*T1^13*T2^5 + 63*T2^6 + 136*T1*T2^6 - 
     110*T1^2*T2^6 - 26*T1^3*T2^6 + 223*T1^4*T2^6 - 163*T1^5*T2^6 - 
     1168*T1^6*T2^6 + 1320*T1^7*T2^6 - 1168*T1^8*T2^6 - 163*T1^9*T2^6 + 
     223*T1^10*T2^6 - 26*T1^11*T2^6 - 110*T1^12*T2^6 + 136*T1^13*T2^6 + 
     63*T1^14*T2^6 - 28*T2^7 - 140*T1*T2^7 - 81*T1^2*T2^7 + 329*T1^3*T2^7 - 
     338*T1^4*T2^7 - 163*T1^5*T2^7 + 1320*T1^6*T2^7 - 532*T1^7*T2^7 - 
     532*T1^8*T2^7 + 1320*T1^9*T2^7 - 163*T1^10*T2^7 - 338*T1^11*T2^7 + 
     329*T1^12*T2^7 - 81*T1^13*T2^7 - 140*T1^14*T2^7 - 28*T1^15*T2^7 + 
     7*T2^8 + 84*T1*T2^8 + 174*T1^2*T2^8 - 130*T1^3*T2^8 - 307*T1^4*T2^8 + 
     922*T1^5*T2^8 - 1168*T1^6*T2^8 - 532*T1^7*T2^8 + 1200*T1^8*T2^8 - 
     532*T1^9*T2^8 - 1168*T1^10*T2^8 + 922*T1^11*T2^8 - 307*T1^12*T2^8 - 
     130*T1^13*T2^8 + 174*T1^14*T2^8 + 84*T1^15*T2^8 + 7*T1^16*T2^8 - 
     28*T1*T2^9 - 140*T1^2*T2^9 - 81*T1^3*T2^9 + 329*T1^4*T2^9 - 
     338*T1^5*T2^9 - 163*T1^6*T2^9 + 1320*T1^7*T2^9 - 532*T1^8*T2^9 - 
     532*T1^9*T2^9 + 1320*T1^10*T2^9 - 163*T1^11*T2^9 - 338*T1^12*T2^9 + 
     329*T1^13*T2^9 - 81*T1^14*T2^9 - 140*T1^15*T2^9 - 28*T1^16*T2^9 + 
     63*T1^2*T2^10 + 136*T1^3*T2^10 - 110*T1^4*T2^10 - 26*T1^5*T2^10 + 
     223*T1^6*T2^10 - 163*T1^7*T2^10 - 1168*T1^8*T2^10 + 1320*T1^9*T2^10 - 
     1168*T1^10*T2^10 - 163*T1^11*T2^10 + 223*T1^12*T2^10 - 26*T1^13*T2^10 - 
     110*T1^14*T2^10 + 136*T1^15*T2^10 + 63*T1^16*T2^10 - 97*T1^3*T2^11 - 
     40*T1^4*T2^11 + 90*T1^5*T2^11 - 26*T1^6*T2^11 - 338*T1^7*T2^11 + 
     922*T1^8*T2^11 - 163*T1^9*T2^11 - 163*T1^10*T2^11 + 922*T1^11*T2^11 - 
     338*T1^12*T2^11 - 26*T1^13*T2^11 + 90*T1^14*T2^11 - 40*T1^15*T2^11 - 
     97*T1^16*T2^11 + 107*T1^4*T2^12 - 40*T1^5*T2^12 - 110*T1^6*T2^12 + 
     329*T1^7*T2^12 - 307*T1^8*T2^12 - 338*T1^9*T2^12 + 223*T1^10*T2^12 - 
     338*T1^11*T2^12 - 307*T1^12*T2^12 + 329*T1^13*T2^12 - 110*T1^14*T2^12 - 
     40*T1^15*T2^12 + 107*T1^16*T2^12 - 97*T1^5*T2^13 + 136*T1^6*T2^13 - 
     81*T1^7*T2^13 - 130*T1^8*T2^13 + 329*T1^9*T2^13 - 26*T1^10*T2^13 - 
     26*T1^11*T2^13 + 329*T1^12*T2^13 - 130*T1^13*T2^13 - 81*T1^14*T2^13 + 
     136*T1^15*T2^13 - 97*T1^16*T2^13 + 63*T1^6*T2^14 - 140*T1^7*T2^14 + 
     174*T1^8*T2^14 - 81*T1^9*T2^14 - 110*T1^10*T2^14 + 90*T1^11*T2^14 - 
     110*T1^12*T2^14 - 81*T1^13*T2^14 + 174*T1^14*T2^14 - 140*T1^15*T2^14 + 
     63*T1^16*T2^14 - 28*T1^7*T2^15 + 84*T1^8*T2^15 - 140*T1^9*T2^15 + 
     136*T1^10*T2^15 - 40*T1^11*T2^15 - 40*T1^12*T2^15 + 136*T1^13*T2^15 - 
     140*T1^14*T2^15 + 84*T1^15*T2^15 - 28*T1^16*T2^15 + 7*T1^8*T2^16 - 
     28*T1^9*T2^16 + 63*T1^10*T2^16 - 97*T1^11*T2^16 + 107*T1^12*T2^16 - 
     97*T1^13*T2^16 + 63*T1^14*T2^16 - 28*T1^15*T2^16 + 7*T1^16*T2^16)/
    (T1^8*T2^8)}, 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), 
   0}, 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), -((9 - 39*T1 + 98*T1^2 - 170*T1^3 + 199*T1^4 - 170*T1^5 + 
      98*T1^6 - 39*T1^7 + 9*T1^8 - 39*T2 + 130*T1*T2 - 255*T1^2*T2 + 
      310*T1^3*T2 - 125*T1^4*T2 - 125*T1^5*T2 + 310*T1^6*T2 - 255*T1^7*T2 + 
      130*T1^8*T2 - 39*T1^9*T2 + 98*T2^2 - 255*T1*T2^2 + 415*T1^2*T2^2 - 
      388*T1^3*T2^2 - 26*T1^4*T2^2 + 125*T1^5*T2^2 - 26*T1^6*T2^2 - 
      388*T1^7*T2^2 + 415*T1^8*T2^2 - 255*T1^9*T2^2 + 98*T1^10*T2^2 - 
      170*T2^3 + 310*T1*T2^3 - 388*T1^2*T2^3 + 186*T1^3*T2^3 + 
      422*T1^4*T2^3 - 66*T1^5*T2^3 - 66*T1^6*T2^3 + 422*T1^7*T2^3 + 
      186*T1^8*T2^3 - 388*T1^9*T2^3 + 310*T1^10*T2^3 - 170*T1^11*T2^3 + 
      199*T2^4 - 125*T1*T2^4 - 26*T1^2*T2^4 + 422*T1^3*T2^4 - 944*T1^4*T2^4 - 
      245*T1^5*T2^4 + 18*T1^6*T2^4 - 245*T1^7*T2^4 - 944*T1^8*T2^4 + 
      422*T1^9*T2^4 - 26*T1^10*T2^4 - 125*T1^11*T2^4 + 199*T1^12*T2^4 - 
      170*T2^5 - 125*T1*T2^5 + 125*T1^2*T2^5 - 66*T1^3*T2^5 - 245*T1^4*T2^5 + 
      2064*T1^5*T2^5 - 209*T1^6*T2^5 - 209*T1^7*T2^5 + 2064*T1^8*T2^5 - 
      245*T1^9*T2^5 - 66*T1^10*T2^5 + 125*T1^11*T2^5 - 125*T1^12*T2^5 - 
      170*T1^13*T2^5 + 98*T2^6 + 310*T1*T2^6 - 26*T1^2*T2^6 - 66*T1^3*T2^6 + 
      18*T1^4*T2^6 - 209*T1^5*T2^6 - 4193*T1^6*T2^6 + 3779*T1^7*T2^6 - 
      4193*T1^8*T2^6 - 209*T1^9*T2^6 + 18*T1^10*T2^6 - 66*T1^11*T2^6 - 
      26*T1^12*T2^6 + 310*T1^13*T2^6 + 98*T1^14*T2^6 - 39*T2^7 - 
      255*T1*T2^7 - 388*T1^2*T2^7 + 422*T1^3*T2^7 - 245*T1^4*T2^7 - 
      209*T1^5*T2^7 + 3779*T1^6*T2^7 - 204*T1^7*T2^7 - 204*T1^8*T2^7 + 
      3779*T1^9*T2^7 - 209*T1^10*T2^7 - 245*T1^11*T2^7 + 422*T1^12*T2^7 - 
      388*T1^13*T2^7 - 255*T1^14*T2^7 - 39*T1^15*T2^7 + 9*T2^8 + 
      130*T1*T2^8 + 415*T1^2*T2^8 + 186*T1^3*T2^8 - 944*T1^4*T2^8 + 
      2064*T1^5*T2^8 - 4193*T1^6*T2^8 - 204*T1^7*T2^8 - 1188*T1^8*T2^8 - 
      204*T1^9*T2^8 - 4193*T1^10*T2^8 + 2064*T1^11*T2^8 - 944*T1^12*T2^8 + 
      186*T1^13*T2^8 + 415*T1^14*T2^8 + 130*T1^15*T2^8 + 9*T1^16*T2^8 - 
      39*T1*T2^9 - 255*T1^2*T2^9 - 388*T1^3*T2^9 + 422*T1^4*T2^9 - 
      245*T1^5*T2^9 - 209*T1^6*T2^9 + 3779*T1^7*T2^9 - 204*T1^8*T2^9 - 
      204*T1^9*T2^9 + 3779*T1^10*T2^9 - 209*T1^11*T2^9 - 245*T1^12*T2^9 + 
      422*T1^13*T2^9 - 388*T1^14*T2^9 - 255*T1^15*T2^9 - 39*T1^16*T2^9 + 
      98*T1^2*T2^10 + 310*T1^3*T2^10 - 26*T1^4*T2^10 - 66*T1^5*T2^10 + 
      18*T1^6*T2^10 - 209*T1^7*T2^10 - 4193*T1^8*T2^10 + 3779*T1^9*T2^10 - 
      4193*T1^10*T2^10 - 209*T1^11*T2^10 + 18*T1^12*T2^10 - 66*T1^13*T2^10 - 
      26*T1^14*T2^10 + 310*T1^15*T2^10 + 98*T1^16*T2^10 - 170*T1^3*T2^11 - 
      125*T1^4*T2^11 + 125*T1^5*T2^11 - 66*T1^6*T2^11 - 245*T1^7*T2^11 + 
      2064*T1^8*T2^11 - 209*T1^9*T2^11 - 209*T1^10*T2^11 + 2064*T1^11*T2^11 - 
      245*T1^12*T2^11 - 66*T1^13*T2^11 + 125*T1^14*T2^11 - 125*T1^15*T2^11 - 
      170*T1^16*T2^11 + 199*T1^4*T2^12 - 125*T1^5*T2^12 - 26*T1^6*T2^12 + 
      422*T1^7*T2^12 - 944*T1^8*T2^12 - 245*T1^9*T2^12 + 18*T1^10*T2^12 - 
      245*T1^11*T2^12 - 944*T1^12*T2^12 + 422*T1^13*T2^12 - 26*T1^14*T2^12 - 
      125*T1^15*T2^12 + 199*T1^16*T2^12 - 170*T1^5*T2^13 + 310*T1^6*T2^13 - 
      388*T1^7*T2^13 + 186*T1^8*T2^13 + 422*T1^9*T2^13 - 66*T1^10*T2^13 - 
      66*T1^11*T2^13 + 422*T1^12*T2^13 + 186*T1^13*T2^13 - 388*T1^14*T2^13 + 
      310*T1^15*T2^13 - 170*T1^16*T2^13 + 98*T1^6*T2^14 - 255*T1^7*T2^14 + 
      415*T1^8*T2^14 - 388*T1^9*T2^14 - 26*T1^10*T2^14 + 125*T1^11*T2^14 - 
      26*T1^12*T2^14 - 388*T1^13*T2^14 + 415*T1^14*T2^14 - 255*T1^15*T2^14 + 
      98*T1^16*T2^14 - 39*T1^7*T2^15 + 130*T1^8*T2^15 - 255*T1^9*T2^15 + 
      310*T1^10*T2^15 - 125*T1^11*T2^15 - 125*T1^12*T2^15 + 310*T1^13*T2^15 - 
      255*T1^14*T2^15 + 130*T1^15*T2^15 - 39*T1^16*T2^15 + 9*T1^8*T2^16 - 
      39*T1^9*T2^16 + 98*T1^10*T2^16 - 170*T1^11*T2^16 + 199*T1^12*T2^16 - 
      170*T1^13*T2^16 + 98*T1^14*T2^16 - 39*T1^15*T2^16 + 9*T1^16*T2^16)/
     (T1^8*T2^8))}, 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), (7 - 28*T1 + 63*T1^2 - 101*T1^3 + 115*T1^4 - 101*T1^5 + 63*T1^6 - 
     28*T1^7 + 7*T1^8 - 28*T2 + 84*T1*T2 - 140*T1^2*T2 + 152*T1^3*T2 - 
     56*T1^4*T2 - 56*T1^5*T2 + 152*T1^6*T2 - 140*T1^7*T2 + 84*T1^8*T2 - 
     28*T1^9*T2 + 63*T2^2 - 140*T1*T2^2 + 174*T1^2*T2^2 - 113*T1^3*T2^2 - 
     110*T1^4*T2^2 + 154*T1^5*T2^2 - 110*T1^6*T2^2 - 113*T1^7*T2^2 + 
     174*T1^8*T2^2 - 140*T1^9*T2^2 + 63*T1^10*T2^2 - 101*T2^3 + 152*T1*T2^3 - 
     113*T1^2*T2^3 - 44*T1^3*T2^3 + 335*T1^4*T2^3 - 98*T1^5*T2^3 - 
     98*T1^6*T2^3 + 335*T1^7*T2^3 - 44*T1^8*T2^3 - 113*T1^9*T2^3 + 
     152*T1^10*T2^3 - 101*T1^11*T2^3 + 115*T2^4 - 56*T1*T2^4 - 
     110*T1^2*T2^4 + 335*T1^3*T2^4 - 511*T1^4*T2^4 - 136*T1^5*T2^4 + 
     227*T1^6*T2^4 - 136*T1^7*T2^4 - 511*T1^8*T2^4 + 335*T1^9*T2^4 - 
     110*T1^10*T2^4 - 56*T1^11*T2^4 + 115*T1^12*T2^4 - 101*T2^5 - 
     56*T1*T2^5 + 154*T1^2*T2^5 - 98*T1^3*T2^5 - 136*T1^4*T2^5 + 
     920*T1^5*T2^5 - 323*T1^6*T2^5 - 323*T1^7*T2^5 + 920*T1^8*T2^5 - 
     136*T1^9*T2^5 - 98*T1^10*T2^5 + 154*T1^11*T2^5 - 56*T1^12*T2^5 - 
     101*T1^13*T2^5 + 63*T2^6 + 152*T1*T2^6 - 110*T1^2*T2^6 - 98*T1^3*T2^6 + 
     227*T1^4*T2^6 - 323*T1^5*T2^6 - 1093*T1^6*T2^6 + 1525*T1^7*T2^6 - 
     1093*T1^8*T2^6 - 323*T1^9*T2^6 + 227*T1^10*T2^6 - 98*T1^11*T2^6 - 
     110*T1^12*T2^6 + 152*T1^13*T2^6 + 63*T1^14*T2^6 - 28*T2^7 - 
     140*T1*T2^7 - 113*T1^2*T2^7 + 335*T1^3*T2^7 - 136*T1^4*T2^7 - 
     323*T1^5*T2^7 + 1525*T1^6*T2^7 - 692*T1^7*T2^7 - 692*T1^8*T2^7 + 
     1525*T1^9*T2^7 - 323*T1^10*T2^7 - 136*T1^11*T2^7 + 335*T1^12*T2^7 - 
     113*T1^13*T2^7 - 140*T1^14*T2^7 - 28*T1^15*T2^7 + 7*T2^8 + 84*T1*T2^8 + 
     174*T1^2*T2^8 - 44*T1^3*T2^8 - 511*T1^4*T2^8 + 920*T1^5*T2^8 - 
     1093*T1^6*T2^8 - 692*T1^7*T2^8 + 1464*T1^8*T2^8 - 692*T1^9*T2^8 - 
     1093*T1^10*T2^8 + 920*T1^11*T2^8 - 511*T1^12*T2^8 - 44*T1^13*T2^8 + 
     174*T1^14*T2^8 + 84*T1^15*T2^8 + 7*T1^16*T2^8 - 28*T1*T2^9 - 
     140*T1^2*T2^9 - 113*T1^3*T2^9 + 335*T1^4*T2^9 - 136*T1^5*T2^9 - 
     323*T1^6*T2^9 + 1525*T1^7*T2^9 - 692*T1^8*T2^9 - 692*T1^9*T2^9 + 
     1525*T1^10*T2^9 - 323*T1^11*T2^9 - 136*T1^12*T2^9 + 335*T1^13*T2^9 - 
     113*T1^14*T2^9 - 140*T1^15*T2^9 - 28*T1^16*T2^9 + 63*T1^2*T2^10 + 
     152*T1^3*T2^10 - 110*T1^4*T2^10 - 98*T1^5*T2^10 + 227*T1^6*T2^10 - 
     323*T1^7*T2^10 - 1093*T1^8*T2^10 + 1525*T1^9*T2^10 - 1093*T1^10*T2^10 - 
     323*T1^11*T2^10 + 227*T1^12*T2^10 - 98*T1^13*T2^10 - 110*T1^14*T2^10 + 
     152*T1^15*T2^10 + 63*T1^16*T2^10 - 101*T1^3*T2^11 - 56*T1^4*T2^11 + 
     154*T1^5*T2^11 - 98*T1^6*T2^11 - 136*T1^7*T2^11 + 920*T1^8*T2^11 - 
     323*T1^9*T2^11 - 323*T1^10*T2^11 + 920*T1^11*T2^11 - 136*T1^12*T2^11 - 
     98*T1^13*T2^11 + 154*T1^14*T2^11 - 56*T1^15*T2^11 - 101*T1^16*T2^11 + 
     115*T1^4*T2^12 - 56*T1^5*T2^12 - 110*T1^6*T2^12 + 335*T1^7*T2^12 - 
     511*T1^8*T2^12 - 136*T1^9*T2^12 + 227*T1^10*T2^12 - 136*T1^11*T2^12 - 
     511*T1^12*T2^12 + 335*T1^13*T2^12 - 110*T1^14*T2^12 - 56*T1^15*T2^12 + 
     115*T1^16*T2^12 - 101*T1^5*T2^13 + 152*T1^6*T2^13 - 113*T1^7*T2^13 - 
     44*T1^8*T2^13 + 335*T1^9*T2^13 - 98*T1^10*T2^13 - 98*T1^11*T2^13 + 
     335*T1^12*T2^13 - 44*T1^13*T2^13 - 113*T1^14*T2^13 + 152*T1^15*T2^13 - 
     101*T1^16*T2^13 + 63*T1^6*T2^14 - 140*T1^7*T2^14 + 174*T1^8*T2^14 - 
     113*T1^9*T2^14 - 110*T1^10*T2^14 + 154*T1^11*T2^14 - 110*T1^12*T2^14 - 
     113*T1^13*T2^14 + 174*T1^14*T2^14 - 140*T1^15*T2^14 + 63*T1^16*T2^14 - 
     28*T1^7*T2^15 + 84*T1^8*T2^15 - 140*T1^9*T2^15 + 152*T1^10*T2^15 - 
     56*T1^11*T2^15 - 56*T1^12*T2^15 + 152*T1^13*T2^15 - 140*T1^14*T2^15 + 
     84*T1^15*T2^15 - 28*T1^16*T2^15 + 7*T1^8*T2^16 - 28*T1^9*T2^16 + 
     63*T1^10*T2^16 - 101*T1^11*T2^16 + 115*T1^12*T2^16 - 101*T1^13*T2^16 + 
     63*T1^14*T2^16 - 28*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 1263] -> 
  {(4 - 21*T + 49*T^2 - 63*T^3 + 49*T^4 - 21*T^5 + 4*T^6)/T^3, 
   -((64 - 328*T1 + 748*T1^2 - 952*T1^3 + 748*T1^4 - 328*T1^5 + 64*T1^6 - 
      328*T2 + 1356*T1*T2 - 2159*T1^2*T2 + 1051*T1^3*T2 + 1051*T1^4*T2 - 
      2159*T1^5*T2 + 1356*T1^6*T2 - 328*T1^7*T2 + 748*T2^2 - 2159*T1*T2^2 + 
      799*T1^2*T2^2 + 4979*T1^3*T2^2 - 8005*T1^4*T2^2 + 4979*T1^5*T2^2 + 
      799*T1^6*T2^2 - 2159*T1^7*T2^2 + 748*T1^8*T2^2 - 952*T2^3 + 
      1051*T1*T2^3 + 4979*T1^2*T2^3 - 12682*T1^3*T2^3 + 6597*T1^4*T2^3 + 
      6597*T1^5*T2^3 - 12682*T1^6*T2^3 + 4979*T1^7*T2^3 + 1051*T1^8*T2^3 - 
      952*T1^9*T2^3 + 748*T2^4 + 1051*T1*T2^4 - 8005*T1^2*T2^4 + 
      6597*T1^3*T2^4 + 14650*T1^4*T2^4 - 26254*T1^5*T2^4 + 14650*T1^6*T2^4 + 
      6597*T1^7*T2^4 - 8005*T1^8*T2^4 + 1051*T1^9*T2^4 + 748*T1^10*T2^4 - 
      328*T2^5 - 2159*T1*T2^5 + 4979*T1^2*T2^5 + 6597*T1^3*T2^5 - 
      26254*T1^4*T2^5 + 14454*T1^5*T2^5 + 14454*T1^6*T2^5 - 26254*T1^7*T2^5 + 
      6597*T1^8*T2^5 + 4979*T1^9*T2^5 - 2159*T1^10*T2^5 - 328*T1^11*T2^5 + 
      64*T2^6 + 1356*T1*T2^6 + 799*T1^2*T2^6 - 12682*T1^3*T2^6 + 
      14650*T1^4*T2^6 + 14454*T1^5*T2^6 - 31236*T1^6*T2^6 + 14454*T1^7*T2^6 + 
      14650*T1^8*T2^6 - 12682*T1^9*T2^6 + 799*T1^10*T2^6 + 1356*T1^11*T2^6 + 
      64*T1^12*T2^6 - 328*T1*T2^7 - 2159*T1^2*T2^7 + 4979*T1^3*T2^7 + 
      6597*T1^4*T2^7 - 26254*T1^5*T2^7 + 14454*T1^6*T2^7 + 14454*T1^7*T2^7 - 
      26254*T1^8*T2^7 + 6597*T1^9*T2^7 + 4979*T1^10*T2^7 - 2159*T1^11*T2^7 - 
      328*T1^12*T2^7 + 748*T1^2*T2^8 + 1051*T1^3*T2^8 - 8005*T1^4*T2^8 + 
      6597*T1^5*T2^8 + 14650*T1^6*T2^8 - 26254*T1^7*T2^8 + 14650*T1^8*T2^8 + 
      6597*T1^9*T2^8 - 8005*T1^10*T2^8 + 1051*T1^11*T2^8 + 748*T1^12*T2^8 - 
      952*T1^3*T2^9 + 1051*T1^4*T2^9 + 4979*T1^5*T2^9 - 12682*T1^6*T2^9 + 
      6597*T1^7*T2^9 + 6597*T1^8*T2^9 - 12682*T1^9*T2^9 + 4979*T1^10*T2^9 + 
      1051*T1^11*T2^9 - 952*T1^12*T2^9 + 748*T1^4*T2^10 - 2159*T1^5*T2^10 + 
      799*T1^6*T2^10 + 4979*T1^7*T2^10 - 8005*T1^8*T2^10 + 4979*T1^9*T2^10 + 
      799*T1^10*T2^10 - 2159*T1^11*T2^10 + 748*T1^12*T2^10 - 328*T1^5*T2^11 + 
      1356*T1^6*T2^11 - 2159*T1^7*T2^11 + 1051*T1^8*T2^11 + 1051*T1^9*T2^11 - 
      2159*T1^10*T2^11 + 1356*T1^11*T2^11 - 328*T1^12*T2^11 + 64*T1^6*T2^12 - 
      328*T1^7*T2^12 + 748*T1^8*T2^12 - 952*T1^9*T2^12 + 748*T1^10*T2^12 - 
      328*T1^11*T2^12 + 64*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), -((7 - 28*T1 + 59*T1^2 - 82*T1^3 + 85*T1^4 - 82*T1^5 + 59*T1^6 - 
      28*T1^7 + 7*T1^8 - 28*T2 + 84*T1*T2 - 124*T1^2*T2 + 92*T1^3*T2 - 
      12*T1^4*T2 - 12*T1^5*T2 + 92*T1^6*T2 - 124*T1^7*T2 + 84*T1^8*T2 - 
      28*T1^9*T2 + 59*T2^2 - 124*T1*T2^2 + 104*T1^2*T2^2 + 43*T1^3*T2^2 - 
      163*T1^4*T2^2 + 66*T1^5*T2^2 - 163*T1^6*T2^2 + 43*T1^7*T2^2 + 
      104*T1^8*T2^2 - 124*T1^9*T2^2 + 59*T1^10*T2^2 - 82*T2^3 + 92*T1*T2^3 + 
      43*T1^2*T2^3 - 266*T1^3*T2^3 + 261*T1^4*T2^3 + 74*T1^5*T2^3 + 
      74*T1^6*T2^3 + 261*T1^7*T2^3 - 266*T1^8*T2^3 + 43*T1^9*T2^3 + 
      92*T1^10*T2^3 - 82*T1^11*T2^3 + 85*T2^4 - 12*T1*T2^4 - 163*T1^2*T2^4 + 
      261*T1^3*T2^4 + 49*T1^4*T2^4 - 494*T1^5*T2^4 + 119*T1^6*T2^4 - 
      494*T1^7*T2^4 + 49*T1^8*T2^4 + 261*T1^9*T2^4 - 163*T1^10*T2^4 - 
      12*T1^11*T2^4 + 85*T1^12*T2^4 - 82*T2^5 - 12*T1*T2^5 + 66*T1^2*T2^5 + 
      74*T1^3*T2^5 - 494*T1^4*T2^5 + 590*T1^5*T2^5 + 133*T1^6*T2^5 + 
      133*T1^7*T2^5 + 590*T1^8*T2^5 - 494*T1^9*T2^5 + 74*T1^10*T2^5 + 
      66*T1^11*T2^5 - 12*T1^12*T2^5 - 82*T1^13*T2^5 + 59*T2^6 + 92*T1*T2^6 - 
      163*T1^2*T2^6 + 74*T1^3*T2^6 + 119*T1^4*T2^6 + 133*T1^5*T2^6 - 
      771*T1^6*T2^6 + 373*T1^7*T2^6 - 771*T1^8*T2^6 + 133*T1^9*T2^6 + 
      119*T1^10*T2^6 + 74*T1^11*T2^6 - 163*T1^12*T2^6 + 92*T1^13*T2^6 + 
      59*T1^14*T2^6 - 28*T2^7 - 124*T1*T2^7 + 43*T1^2*T2^7 + 261*T1^3*T2^7 - 
      494*T1^4*T2^7 + 133*T1^5*T2^7 + 373*T1^6*T2^7 + 62*T1^7*T2^7 + 
      62*T1^8*T2^7 + 373*T1^9*T2^7 + 133*T1^10*T2^7 - 494*T1^11*T2^7 + 
      261*T1^12*T2^7 + 43*T1^13*T2^7 - 124*T1^14*T2^7 - 28*T1^15*T2^7 + 
      7*T2^8 + 84*T1*T2^8 + 104*T1^2*T2^8 - 266*T1^3*T2^8 + 49*T1^4*T2^8 + 
      590*T1^5*T2^8 - 771*T1^6*T2^8 + 62*T1^7*T2^8 - 120*T1^8*T2^8 + 
      62*T1^9*T2^8 - 771*T1^10*T2^8 + 590*T1^11*T2^8 + 49*T1^12*T2^8 - 
      266*T1^13*T2^8 + 104*T1^14*T2^8 + 84*T1^15*T2^8 + 7*T1^16*T2^8 - 
      28*T1*T2^9 - 124*T1^2*T2^9 + 43*T1^3*T2^9 + 261*T1^4*T2^9 - 
      494*T1^5*T2^9 + 133*T1^6*T2^9 + 373*T1^7*T2^9 + 62*T1^8*T2^9 + 
      62*T1^9*T2^9 + 373*T1^10*T2^9 + 133*T1^11*T2^9 - 494*T1^12*T2^9 + 
      261*T1^13*T2^9 + 43*T1^14*T2^9 - 124*T1^15*T2^9 - 28*T1^16*T2^9 + 
      59*T1^2*T2^10 + 92*T1^3*T2^10 - 163*T1^4*T2^10 + 74*T1^5*T2^10 + 
      119*T1^6*T2^10 + 133*T1^7*T2^10 - 771*T1^8*T2^10 + 373*T1^9*T2^10 - 
      771*T1^10*T2^10 + 133*T1^11*T2^10 + 119*T1^12*T2^10 + 74*T1^13*T2^10 - 
      163*T1^14*T2^10 + 92*T1^15*T2^10 + 59*T1^16*T2^10 - 82*T1^3*T2^11 - 
      12*T1^4*T2^11 + 66*T1^5*T2^11 + 74*T1^6*T2^11 - 494*T1^7*T2^11 + 
      590*T1^8*T2^11 + 133*T1^9*T2^11 + 133*T1^10*T2^11 + 590*T1^11*T2^11 - 
      494*T1^12*T2^11 + 74*T1^13*T2^11 + 66*T1^14*T2^11 - 12*T1^15*T2^11 - 
      82*T1^16*T2^11 + 85*T1^4*T2^12 - 12*T1^5*T2^12 - 163*T1^6*T2^12 + 
      261*T1^7*T2^12 + 49*T1^8*T2^12 - 494*T1^9*T2^12 + 119*T1^10*T2^12 - 
      494*T1^11*T2^12 + 49*T1^12*T2^12 + 261*T1^13*T2^12 - 163*T1^14*T2^12 - 
      12*T1^15*T2^12 + 85*T1^16*T2^12 - 82*T1^5*T2^13 + 92*T1^6*T2^13 + 
      43*T1^7*T2^13 - 266*T1^8*T2^13 + 261*T1^9*T2^13 + 74*T1^10*T2^13 + 
      74*T1^11*T2^13 + 261*T1^12*T2^13 - 266*T1^13*T2^13 + 43*T1^14*T2^13 + 
      92*T1^15*T2^13 - 82*T1^16*T2^13 + 59*T1^6*T2^14 - 124*T1^7*T2^14 + 
      104*T1^8*T2^14 + 43*T1^9*T2^14 - 163*T1^10*T2^14 + 66*T1^11*T2^14 - 
      163*T1^12*T2^14 + 43*T1^13*T2^14 + 104*T1^14*T2^14 - 124*T1^15*T2^14 + 
      59*T1^16*T2^14 - 28*T1^7*T2^15 + 84*T1^8*T2^15 - 124*T1^9*T2^15 + 
      92*T1^10*T2^15 - 12*T1^11*T2^15 - 12*T1^12*T2^15 + 92*T1^13*T2^15 - 
      124*T1^14*T2^15 + 84*T1^15*T2^15 - 28*T1^16*T2^15 + 7*T1^8*T2^16 - 
      28*T1^9*T2^16 + 59*T1^10*T2^16 - 82*T1^11*T2^16 + 85*T1^12*T2^16 - 
      82*T1^13*T2^16 + 59*T1^14*T2^16 - 28*T1^15*T2^16 + 7*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, Alternating, 1265] -> 
  {-((4 - 17*T + 37*T^2 - 49*T^3 + 37*T^4 - 17*T^5 + 4*T^6)/T^3), 
   (4*T1^2 - 8*T1^3 + 4*T1^4 - 17*T1^2*T2 + 17*T1^3*T2 + 17*T1^4*T2 - 
     17*T1^5*T2 + 4*T2^2 - 17*T1*T2^2 + 74*T1^2*T2^2 - 78*T1^3*T2^2 + 
     34*T1^4*T2^2 - 78*T1^5*T2^2 + 74*T1^6*T2^2 - 17*T1^7*T2^2 + 
     4*T1^8*T2^2 - 8*T2^3 + 17*T1*T2^3 - 78*T1^2*T2^3 + 40*T1^3*T2^3 + 
     33*T1^4*T2^3 + 33*T1^5*T2^3 + 40*T1^6*T2^3 - 78*T1^7*T2^3 + 
     17*T1^8*T2^3 - 8*T1^9*T2^3 + 4*T2^4 + 17*T1*T2^4 + 34*T1^2*T2^4 + 
     33*T1^3*T2^4 - 99*T1^4*T2^4 - 21*T1^5*T2^4 - 99*T1^6*T2^4 + 
     33*T1^7*T2^4 + 34*T1^8*T2^4 + 17*T1^9*T2^4 + 4*T1^10*T2^4 - 17*T1*T2^5 - 
     78*T1^2*T2^5 + 33*T1^3*T2^5 - 21*T1^4*T2^5 + 134*T1^5*T2^5 + 
     134*T1^6*T2^5 - 21*T1^7*T2^5 + 33*T1^8*T2^5 - 78*T1^9*T2^5 - 
     17*T1^10*T2^5 + 74*T1^2*T2^6 + 40*T1^3*T2^6 - 99*T1^4*T2^6 + 
     134*T1^5*T2^6 - 432*T1^6*T2^6 + 134*T1^7*T2^6 - 99*T1^8*T2^6 + 
     40*T1^9*T2^6 + 74*T1^10*T2^6 - 17*T1^2*T2^7 - 78*T1^3*T2^7 + 
     33*T1^4*T2^7 - 21*T1^5*T2^7 + 134*T1^6*T2^7 + 134*T1^7*T2^7 - 
     21*T1^8*T2^7 + 33*T1^9*T2^7 - 78*T1^10*T2^7 - 17*T1^11*T2^7 + 
     4*T1^2*T2^8 + 17*T1^3*T2^8 + 34*T1^4*T2^8 + 33*T1^5*T2^8 - 
     99*T1^6*T2^8 - 21*T1^7*T2^8 - 99*T1^8*T2^8 + 33*T1^9*T2^8 + 
     34*T1^10*T2^8 + 17*T1^11*T2^8 + 4*T1^12*T2^8 - 8*T1^3*T2^9 + 
     17*T1^4*T2^9 - 78*T1^5*T2^9 + 40*T1^6*T2^9 + 33*T1^7*T2^9 + 
     33*T1^8*T2^9 + 40*T1^9*T2^9 - 78*T1^10*T2^9 + 17*T1^11*T2^9 - 
     8*T1^12*T2^9 + 4*T1^4*T2^10 - 17*T1^5*T2^10 + 74*T1^6*T2^10 - 
     78*T1^7*T2^10 + 34*T1^8*T2^10 - 78*T1^9*T2^10 + 74*T1^10*T2^10 - 
     17*T1^11*T2^10 + 4*T1^12*T2^10 - 17*T1^7*T2^11 + 17*T1^8*T2^11 + 
     17*T1^9*T2^11 - 17*T1^10*T2^11 + 4*T1^8*T2^12 - 8*T1^9*T2^12 + 
     4*T1^10*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 1266] -> 
  {-(((1 - T + T^2)*(4 - 11*T + 13*T^2 - 11*T^3 + 4*T^4))/T^3), 
   -((128 - 464*T1 + 848*T1^2 - 1056*T1^3 + 848*T1^4 - 464*T1^5 + 128*T1^6 - 
      464*T2 + 1218*T1*T2 - 1396*T1^2*T2 + 754*T1^3*T2 + 754*T1^4*T2 - 
      1396*T1^5*T2 + 1218*T1^6*T2 - 464*T1^7*T2 + 848*T2^2 - 1396*T1*T2^2 + 
      279*T1^2*T2^2 + 1418*T1^3*T2^2 - 3051*T1^4*T2^2 + 1418*T1^5*T2^2 + 
      279*T1^6*T2^2 - 1396*T1^7*T2^2 + 848*T1^8*T2^2 - 1056*T2^3 + 
      754*T1*T2^3 + 1418*T1^2*T2^3 - 2356*T1^3*T2^3 + 2077*T1^4*T2^3 + 
      2077*T1^5*T2^3 - 2356*T1^6*T2^3 + 1418*T1^7*T2^3 + 754*T1^8*T2^3 - 
      1056*T1^9*T2^3 + 848*T2^4 + 754*T1*T2^4 - 3051*T1^2*T2^4 + 
      2077*T1^3*T2^4 - 325*T1^4*T2^4 - 3391*T1^5*T2^4 - 325*T1^6*T2^4 + 
      2077*T1^7*T2^4 - 3051*T1^8*T2^4 + 754*T1^9*T2^4 + 848*T1^10*T2^4 - 
      464*T2^5 - 1396*T1*T2^5 + 1418*T1^2*T2^5 + 2077*T1^3*T2^5 - 
      3391*T1^4*T2^5 + 3602*T1^5*T2^5 + 3602*T1^6*T2^5 - 3391*T1^7*T2^5 + 
      2077*T1^8*T2^5 + 1418*T1^9*T2^5 - 1396*T1^10*T2^5 - 464*T1^11*T2^5 + 
      128*T2^6 + 1218*T1*T2^6 + 279*T1^2*T2^6 - 2356*T1^3*T2^6 - 
      325*T1^4*T2^6 + 3602*T1^5*T2^6 - 9132*T1^6*T2^6 + 3602*T1^7*T2^6 - 
      325*T1^8*T2^6 - 2356*T1^9*T2^6 + 279*T1^10*T2^6 + 1218*T1^11*T2^6 + 
      128*T1^12*T2^6 - 464*T1*T2^7 - 1396*T1^2*T2^7 + 1418*T1^3*T2^7 + 
      2077*T1^4*T2^7 - 3391*T1^5*T2^7 + 3602*T1^6*T2^7 + 3602*T1^7*T2^7 - 
      3391*T1^8*T2^7 + 2077*T1^9*T2^7 + 1418*T1^10*T2^7 - 1396*T1^11*T2^7 - 
      464*T1^12*T2^7 + 848*T1^2*T2^8 + 754*T1^3*T2^8 - 3051*T1^4*T2^8 + 
      2077*T1^5*T2^8 - 325*T1^6*T2^8 - 3391*T1^7*T2^8 - 325*T1^8*T2^8 + 
      2077*T1^9*T2^8 - 3051*T1^10*T2^8 + 754*T1^11*T2^8 + 848*T1^12*T2^8 - 
      1056*T1^3*T2^9 + 754*T1^4*T2^9 + 1418*T1^5*T2^9 - 2356*T1^6*T2^9 + 
      2077*T1^7*T2^9 + 2077*T1^8*T2^9 - 2356*T1^9*T2^9 + 1418*T1^10*T2^9 + 
      754*T1^11*T2^9 - 1056*T1^12*T2^9 + 848*T1^4*T2^10 - 1396*T1^5*T2^10 + 
      279*T1^6*T2^10 + 1418*T1^7*T2^10 - 3051*T1^8*T2^10 + 1418*T1^9*T2^10 + 
      279*T1^10*T2^10 - 1396*T1^11*T2^10 + 848*T1^12*T2^10 - 464*T1^5*T2^11 + 
      1218*T1^6*T2^11 - 1396*T1^7*T2^11 + 754*T1^8*T2^11 + 754*T1^9*T2^11 - 
      1396*T1^10*T2^11 + 1218*T1^11*T2^11 - 464*T1^12*T2^11 + 
      128*T1^6*T2^12 - 464*T1^7*T2^12 + 848*T1^8*T2^12 - 1056*T1^9*T2^12 + 
      848*T1^10*T2^12 - 464*T1^11*T2^12 + 128*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, Alternating, 1267] -> 
  {-((4 - 16*T + 32*T^2 - 41*T^3 + 32*T^4 - 16*T^5 + 4*T^6)/T^3), 0}, 
 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, -((1 - 4*T1 + 9*T1^2 - 15*T1^3 + 19*T1^4 - 15*T1^5 + 9*T1^6 - 
      4*T1^7 + T1^8 - 4*T2 + 12*T1*T2 - 19*T1^2*T2 + 22*T1^3*T2 - 
      15*T1^4*T2 - 15*T1^5*T2 + 22*T1^6*T2 - 19*T1^7*T2 + 12*T1^8*T2 - 
      4*T1^9*T2 + 9*T2^2 - 19*T1*T2^2 + 19*T1^2*T2^2 - 34*T1^3*T2^2 + 
      76*T1^4*T2^2 - 67*T1^5*T2^2 + 76*T1^6*T2^2 - 34*T1^7*T2^2 + 
      19*T1^8*T2^2 - 19*T1^9*T2^2 + 9*T1^10*T2^2 - 15*T2^3 + 22*T1*T2^3 - 
      34*T1^2*T2^3 + 150*T1^3*T2^3 - 309*T1^4*T2^3 + 124*T1^5*T2^3 + 
      124*T1^6*T2^3 - 309*T1^7*T2^3 + 150*T1^8*T2^3 - 34*T1^9*T2^3 + 
      22*T1^10*T2^3 - 15*T1^11*T2^3 + 19*T2^4 - 15*T1*T2^4 + 76*T1^2*T2^4 - 
      309*T1^3*T2^4 + 353*T1^4*T2^4 + 468*T1^5*T2^4 - 797*T1^6*T2^4 + 
      468*T1^7*T2^4 + 353*T1^8*T2^4 - 309*T1^9*T2^4 + 76*T1^10*T2^4 - 
      15*T1^11*T2^4 + 19*T1^12*T2^4 - 15*T2^5 - 15*T1*T2^5 - 67*T1^2*T2^5 + 
      124*T1^3*T2^5 + 468*T1^4*T2^5 - 1774*T1^5*T2^5 + 788*T1^6*T2^5 + 
      788*T1^7*T2^5 - 1774*T1^8*T2^5 + 468*T1^9*T2^5 + 124*T1^10*T2^5 - 
      67*T1^11*T2^5 - 15*T1^12*T2^5 - 15*T1^13*T2^5 + 9*T2^6 + 22*T1*T2^6 + 
      76*T1^2*T2^6 + 124*T1^3*T2^6 - 797*T1^4*T2^6 + 788*T1^5*T2^6 + 
      2530*T1^6*T2^6 - 3584*T1^7*T2^6 + 2530*T1^8*T2^6 + 788*T1^9*T2^6 - 
      797*T1^10*T2^6 + 124*T1^11*T2^6 + 76*T1^12*T2^6 + 22*T1^13*T2^6 + 
      9*T1^14*T2^6 - 4*T2^7 - 19*T1*T2^7 - 34*T1^2*T2^7 - 309*T1^3*T2^7 + 
      468*T1^4*T2^7 + 788*T1^5*T2^7 - 3584*T1^6*T2^7 + 1262*T1^7*T2^7 + 
      1262*T1^8*T2^7 - 3584*T1^9*T2^7 + 788*T1^10*T2^7 + 468*T1^11*T2^7 - 
      309*T1^12*T2^7 - 34*T1^13*T2^7 - 19*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 
      12*T1*T2^8 + 19*T1^2*T2^8 + 150*T1^3*T2^8 + 353*T1^4*T2^8 - 
      1774*T1^5*T2^8 + 2530*T1^6*T2^8 + 1262*T1^7*T2^8 - 1836*T1^8*T2^8 + 
      1262*T1^9*T2^8 + 2530*T1^10*T2^8 - 1774*T1^11*T2^8 + 353*T1^12*T2^8 + 
      150*T1^13*T2^8 + 19*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 
      4*T1*T2^9 - 19*T1^2*T2^9 - 34*T1^3*T2^9 - 309*T1^4*T2^9 + 
      468*T1^5*T2^9 + 788*T1^6*T2^9 - 3584*T1^7*T2^9 + 1262*T1^8*T2^9 + 
      1262*T1^9*T2^9 - 3584*T1^10*T2^9 + 788*T1^11*T2^9 + 468*T1^12*T2^9 - 
      309*T1^13*T2^9 - 34*T1^14*T2^9 - 19*T1^15*T2^9 - 4*T1^16*T2^9 + 
      9*T1^2*T2^10 + 22*T1^3*T2^10 + 76*T1^4*T2^10 + 124*T1^5*T2^10 - 
      797*T1^6*T2^10 + 788*T1^7*T2^10 + 2530*T1^8*T2^10 - 3584*T1^9*T2^10 + 
      2530*T1^10*T2^10 + 788*T1^11*T2^10 - 797*T1^12*T2^10 + 
      124*T1^13*T2^10 + 76*T1^14*T2^10 + 22*T1^15*T2^10 + 9*T1^16*T2^10 - 
      15*T1^3*T2^11 - 15*T1^4*T2^11 - 67*T1^5*T2^11 + 124*T1^6*T2^11 + 
      468*T1^7*T2^11 - 1774*T1^8*T2^11 + 788*T1^9*T2^11 + 788*T1^10*T2^11 - 
      1774*T1^11*T2^11 + 468*T1^12*T2^11 + 124*T1^13*T2^11 - 67*T1^14*T2^11 - 
      15*T1^15*T2^11 - 15*T1^16*T2^11 + 19*T1^4*T2^12 - 15*T1^5*T2^12 + 
      76*T1^6*T2^12 - 309*T1^7*T2^12 + 353*T1^8*T2^12 + 468*T1^9*T2^12 - 
      797*T1^10*T2^12 + 468*T1^11*T2^12 + 353*T1^12*T2^12 - 309*T1^13*T2^12 + 
      76*T1^14*T2^12 - 15*T1^15*T2^12 + 19*T1^16*T2^12 - 15*T1^5*T2^13 + 
      22*T1^6*T2^13 - 34*T1^7*T2^13 + 150*T1^8*T2^13 - 309*T1^9*T2^13 + 
      124*T1^10*T2^13 + 124*T1^11*T2^13 - 309*T1^12*T2^13 + 150*T1^13*T2^13 - 
      34*T1^14*T2^13 + 22*T1^15*T2^13 - 15*T1^16*T2^13 + 9*T1^6*T2^14 - 
      19*T1^7*T2^14 + 19*T1^8*T2^14 - 34*T1^9*T2^14 + 76*T1^10*T2^14 - 
      67*T1^11*T2^14 + 76*T1^12*T2^14 - 34*T1^13*T2^14 + 19*T1^14*T2^14 - 
      19*T1^15*T2^14 + 9*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 
      19*T1^9*T2^15 + 22*T1^10*T2^15 - 15*T1^11*T2^15 - 15*T1^12*T2^15 + 
      22*T1^13*T2^15 - 19*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + 
      T1^8*T2^16 - 4*T1^9*T2^16 + 9*T1^10*T2^16 - 15*T1^11*T2^16 + 
      19*T1^12*T2^16 - 15*T1^13*T2^16 + 9*T1^14*T2^16 - 4*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, Alternating, 1269] -> 
  {-(((-4 + 5*T - 3*T^2 + T^3)*(-1 + 3*T - 5*T^2 + 4*T^3))/T^3), 0}, 
 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), -((9 - 49*T1 + 132*T1^2 - 231*T1^3 + 273*T1^4 - 231*T1^5 + 
      132*T1^6 - 49*T1^7 + 9*T1^8 - 49*T2 + 218*T1*T2 - 453*T1^2*T2 + 
      541*T1^3*T2 - 230*T1^4*T2 - 230*T1^5*T2 + 541*T1^6*T2 - 453*T1^7*T2 + 
      218*T1^8*T2 - 49*T1^9*T2 + 132*T2^2 - 453*T1*T2^2 + 606*T1^2*T2^2 - 
      146*T1^3*T2^2 - 1015*T1^4*T2^2 + 1468*T1^5*T2^2 - 1015*T1^6*T2^2 - 
      146*T1^7*T2^2 + 606*T1^8*T2^2 - 453*T1^9*T2^2 + 132*T1^10*T2^2 - 
      231*T2^3 + 541*T1*T2^3 - 146*T1^2*T2^3 - 1068*T1^3*T2^3 + 
      2362*T1^4*T2^3 - 964*T1^5*T2^3 - 964*T1^6*T2^3 + 2362*T1^7*T2^3 - 
      1068*T1^8*T2^3 - 146*T1^9*T2^3 + 541*T1^10*T2^3 - 231*T1^11*T2^3 + 
      273*T2^4 - 230*T1*T2^4 - 1015*T1^2*T2^4 + 2362*T1^3*T2^4 - 
      2452*T1^4*T2^4 - 1402*T1^5*T2^4 + 2388*T1^6*T2^4 - 1402*T1^7*T2^4 - 
      2452*T1^8*T2^4 + 2362*T1^9*T2^4 - 1015*T1^10*T2^4 - 230*T1^11*T2^4 + 
      273*T1^12*T2^4 - 231*T2^5 - 230*T1*T2^5 + 1468*T1^2*T2^5 - 
      964*T1^3*T2^5 - 1402*T1^4*T2^5 + 5958*T1^5*T2^5 - 2053*T1^6*T2^5 - 
      2053*T1^7*T2^5 + 5958*T1^8*T2^5 - 1402*T1^9*T2^5 - 964*T1^10*T2^5 + 
      1468*T1^11*T2^5 - 230*T1^12*T2^5 - 231*T1^13*T2^5 + 132*T2^6 + 
      541*T1*T2^6 - 1015*T1^2*T2^6 - 964*T1^3*T2^6 + 2388*T1^4*T2^6 - 
      2053*T1^5*T2^6 - 8412*T1^6*T2^6 + 10552*T1^7*T2^6 - 8412*T1^8*T2^6 - 
      2053*T1^9*T2^6 + 2388*T1^10*T2^6 - 964*T1^11*T2^6 - 1015*T1^12*T2^6 + 
      541*T1^13*T2^6 + 132*T1^14*T2^6 - 49*T2^7 - 453*T1*T2^7 - 
      146*T1^2*T2^7 + 2362*T1^3*T2^7 - 1402*T1^4*T2^7 - 2053*T1^5*T2^7 + 
      10552*T1^6*T2^7 - 3378*T1^7*T2^7 - 3378*T1^8*T2^7 + 10552*T1^9*T2^7 - 
      2053*T1^10*T2^7 - 1402*T1^11*T2^7 + 2362*T1^12*T2^7 - 146*T1^13*T2^7 - 
      453*T1^14*T2^7 - 49*T1^15*T2^7 + 9*T2^8 + 218*T1*T2^8 + 606*T1^2*T2^8 - 
      1068*T1^3*T2^8 - 2452*T1^4*T2^8 + 5958*T1^5*T2^8 - 8412*T1^6*T2^8 - 
      3378*T1^7*T2^8 + 5124*T1^8*T2^8 - 3378*T1^9*T2^8 - 8412*T1^10*T2^8 + 
      5958*T1^11*T2^8 - 2452*T1^12*T2^8 - 1068*T1^13*T2^8 + 606*T1^14*T2^8 + 
      218*T1^15*T2^8 + 9*T1^16*T2^8 - 49*T1*T2^9 - 453*T1^2*T2^9 - 
      146*T1^3*T2^9 + 2362*T1^4*T2^9 - 1402*T1^5*T2^9 - 2053*T1^6*T2^9 + 
      10552*T1^7*T2^9 - 3378*T1^8*T2^9 - 3378*T1^9*T2^9 + 10552*T1^10*T2^9 - 
      2053*T1^11*T2^9 - 1402*T1^12*T2^9 + 2362*T1^13*T2^9 - 146*T1^14*T2^9 - 
      453*T1^15*T2^9 - 49*T1^16*T2^9 + 132*T1^2*T2^10 + 541*T1^3*T2^10 - 
      1015*T1^4*T2^10 - 964*T1^5*T2^10 + 2388*T1^6*T2^10 - 2053*T1^7*T2^10 - 
      8412*T1^8*T2^10 + 10552*T1^9*T2^10 - 8412*T1^10*T2^10 - 
      2053*T1^11*T2^10 + 2388*T1^12*T2^10 - 964*T1^13*T2^10 - 
      1015*T1^14*T2^10 + 541*T1^15*T2^10 + 132*T1^16*T2^10 - 231*T1^3*T2^11 - 
      230*T1^4*T2^11 + 1468*T1^5*T2^11 - 964*T1^6*T2^11 - 1402*T1^7*T2^11 + 
      5958*T1^8*T2^11 - 2053*T1^9*T2^11 - 2053*T1^10*T2^11 + 
      5958*T1^11*T2^11 - 1402*T1^12*T2^11 - 964*T1^13*T2^11 + 
      1468*T1^14*T2^11 - 230*T1^15*T2^11 - 231*T1^16*T2^11 + 273*T1^4*T2^12 - 
      230*T1^5*T2^12 - 1015*T1^6*T2^12 + 2362*T1^7*T2^12 - 2452*T1^8*T2^12 - 
      1402*T1^9*T2^12 + 2388*T1^10*T2^12 - 1402*T1^11*T2^12 - 
      2452*T1^12*T2^12 + 2362*T1^13*T2^12 - 1015*T1^14*T2^12 - 
      230*T1^15*T2^12 + 273*T1^16*T2^12 - 231*T1^5*T2^13 + 541*T1^6*T2^13 - 
      146*T1^7*T2^13 - 1068*T1^8*T2^13 + 2362*T1^9*T2^13 - 964*T1^10*T2^13 - 
      964*T1^11*T2^13 + 2362*T1^12*T2^13 - 1068*T1^13*T2^13 - 
      146*T1^14*T2^13 + 541*T1^15*T2^13 - 231*T1^16*T2^13 + 132*T1^6*T2^14 - 
      453*T1^7*T2^14 + 606*T1^8*T2^14 - 146*T1^9*T2^14 - 1015*T1^10*T2^14 + 
      1468*T1^11*T2^14 - 1015*T1^12*T2^14 - 146*T1^13*T2^14 + 
      606*T1^14*T2^14 - 453*T1^15*T2^14 + 132*T1^16*T2^14 - 49*T1^7*T2^15 + 
      218*T1^8*T2^15 - 453*T1^9*T2^15 + 541*T1^10*T2^15 - 230*T1^11*T2^15 - 
      230*T1^12*T2^15 + 541*T1^13*T2^15 - 453*T1^14*T2^15 + 218*T1^15*T2^15 - 
      49*T1^16*T2^15 + 9*T1^8*T2^16 - 49*T1^9*T2^16 + 132*T1^10*T2^16 - 
      231*T1^11*T2^16 + 273*T1^12*T2^16 - 231*T1^13*T2^16 + 132*T1^14*T2^16 - 
      49*T1^15*T2^16 + 9*T1^16*T2^16)/(T1^8*T2^8))}, 
 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*(32 - 156*T1 + 332*T1^2 - 408*T1^3 + 332*T1^4 - 156*T1^5 + 32*T1^6 - 
      156*T2 + 608*T1*T2 - 866*T1^2*T2 + 376*T1^3*T2 + 376*T1^4*T2 - 
      866*T1^5*T2 + 608*T1^6*T2 - 156*T1^7*T2 + 332*T2^2 - 866*T1*T2^2 + 
      20*T1^2*T2^2 + 2255*T1^3*T2^2 - 3154*T1^4*T2^2 + 2255*T1^5*T2^2 + 
      20*T1^6*T2^2 - 866*T1^7*T2^2 + 332*T1^8*T2^2 - 408*T2^3 + 376*T1*T2^3 + 
      2255*T1^2*T2^3 - 4677*T1^3*T2^3 + 2025*T1^4*T2^3 + 2025*T1^5*T2^3 - 
      4677*T1^6*T2^3 + 2255*T1^7*T2^3 + 376*T1^8*T2^3 - 408*T1^9*T2^3 + 
      332*T2^4 + 376*T1*T2^4 - 3154*T1^2*T2^4 + 2025*T1^3*T2^4 + 
      5126*T1^4*T2^4 - 7858*T1^5*T2^4 + 5126*T1^6*T2^4 + 2025*T1^7*T2^4 - 
      3154*T1^8*T2^4 + 376*T1^9*T2^4 + 332*T1^10*T2^4 - 156*T2^5 - 
      866*T1*T2^5 + 2255*T1^2*T2^5 + 2025*T1^3*T2^5 - 7858*T1^4*T2^5 + 
      3539*T1^5*T2^5 + 3539*T1^6*T2^5 - 7858*T1^7*T2^5 + 2025*T1^8*T2^5 + 
      2255*T1^9*T2^5 - 866*T1^10*T2^5 - 156*T1^11*T2^5 + 32*T2^6 + 
      608*T1*T2^6 + 20*T1^2*T2^6 - 4677*T1^3*T2^6 + 5126*T1^4*T2^6 + 
      3539*T1^5*T2^6 - 6960*T1^6*T2^6 + 3539*T1^7*T2^6 + 5126*T1^8*T2^6 - 
      4677*T1^9*T2^6 + 20*T1^10*T2^6 + 608*T1^11*T2^6 + 32*T1^12*T2^6 - 
      156*T1*T2^7 - 866*T1^2*T2^7 + 2255*T1^3*T2^7 + 2025*T1^4*T2^7 - 
      7858*T1^5*T2^7 + 3539*T1^6*T2^7 + 3539*T1^7*T2^7 - 7858*T1^8*T2^7 + 
      2025*T1^9*T2^7 + 2255*T1^10*T2^7 - 866*T1^11*T2^7 - 156*T1^12*T2^7 + 
      332*T1^2*T2^8 + 376*T1^3*T2^8 - 3154*T1^4*T2^8 + 2025*T1^5*T2^8 + 
      5126*T1^6*T2^8 - 7858*T1^7*T2^8 + 5126*T1^8*T2^8 + 2025*T1^9*T2^8 - 
      3154*T1^10*T2^8 + 376*T1^11*T2^8 + 332*T1^12*T2^8 - 408*T1^3*T2^9 + 
      376*T1^4*T2^9 + 2255*T1^5*T2^9 - 4677*T1^6*T2^9 + 2025*T1^7*T2^9 + 
      2025*T1^8*T2^9 - 4677*T1^9*T2^9 + 2255*T1^10*T2^9 + 376*T1^11*T2^9 - 
      408*T1^12*T2^9 + 332*T1^4*T2^10 - 866*T1^5*T2^10 + 20*T1^6*T2^10 + 
      2255*T1^7*T2^10 - 3154*T1^8*T2^10 + 2255*T1^9*T2^10 + 20*T1^10*T2^10 - 
      866*T1^11*T2^10 + 332*T1^12*T2^10 - 156*T1^5*T2^11 + 608*T1^6*T2^11 - 
      866*T1^7*T2^11 + 376*T1^8*T2^11 + 376*T1^9*T2^11 - 866*T1^10*T2^11 + 
      608*T1^11*T2^11 - 156*T1^12*T2^11 + 32*T1^6*T2^12 - 156*T1^7*T2^12 + 
      332*T1^8*T2^12 - 408*T1^9*T2^12 + 332*T1^10*T2^12 - 156*T1^11*T2^12 + 
      32*T1^12*T2^12))/(T1^6*T2^6)}, 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, 
   (1 - 4*T1 + 9*T1^2 - 14*T1^3 + 17*T1^4 - 14*T1^5 + 9*T1^6 - 4*T1^7 + 
     T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 21*T1^3*T2 - 13*T1^4*T2 - 
     13*T1^5*T2 + 21*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 9*T2^2 - 
     20*T1*T2^2 + 23*T1^2*T2^2 - 25*T1^3*T2^2 + 48*T1^4*T2^2 - 37*T1^5*T2^2 + 
     48*T1^6*T2^2 - 25*T1^7*T2^2 + 23*T1^8*T2^2 - 20*T1^9*T2^2 + 
     9*T1^10*T2^2 - 14*T2^3 + 21*T1*T2^3 - 25*T1^2*T2^3 + 90*T1^3*T2^3 - 
     213*T1^4*T2^3 + 87*T1^5*T2^3 + 87*T1^6*T2^3 - 213*T1^7*T2^3 + 
     90*T1^8*T2^3 - 25*T1^9*T2^3 + 21*T1^10*T2^3 - 14*T1^11*T2^3 + 17*T2^4 - 
     13*T1*T2^4 + 48*T1^2*T2^4 - 213*T1^3*T2^4 + 292*T1^4*T2^4 + 
     349*T1^5*T2^4 - 632*T1^6*T2^4 + 349*T1^7*T2^4 + 292*T1^8*T2^4 - 
     213*T1^9*T2^4 + 48*T1^10*T2^4 - 13*T1^11*T2^4 + 17*T1^12*T2^4 - 
     14*T2^5 - 13*T1*T2^5 - 37*T1^2*T2^5 + 87*T1^3*T2^5 + 349*T1^4*T2^5 - 
     1548*T1^5*T2^5 + 754*T1^6*T2^5 + 754*T1^7*T2^5 - 1548*T1^8*T2^5 + 
     349*T1^9*T2^5 + 87*T1^10*T2^5 - 37*T1^11*T2^5 - 13*T1^12*T2^5 - 
     14*T1^13*T2^5 + 9*T2^6 + 21*T1*T2^6 + 48*T1^2*T2^6 + 87*T1^3*T2^6 - 
     632*T1^4*T2^6 + 754*T1^5*T2^6 + 2501*T1^6*T2^6 - 3897*T1^7*T2^6 + 
     2501*T1^8*T2^6 + 754*T1^9*T2^6 - 632*T1^10*T2^6 + 87*T1^11*T2^6 + 
     48*T1^12*T2^6 + 21*T1^13*T2^6 + 9*T1^14*T2^6 - 4*T2^7 - 20*T1*T2^7 - 
     25*T1^2*T2^7 - 213*T1^3*T2^7 + 349*T1^4*T2^7 + 754*T1^5*T2^7 - 
     3897*T1^6*T2^7 + 1794*T1^7*T2^7 + 1794*T1^8*T2^7 - 3897*T1^9*T2^7 + 
     754*T1^10*T2^7 + 349*T1^11*T2^7 - 213*T1^12*T2^7 - 25*T1^13*T2^7 - 
     20*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 23*T1^2*T2^8 + 
     90*T1^3*T2^8 + 292*T1^4*T2^8 - 1548*T1^5*T2^8 + 2501*T1^6*T2^8 + 
     1794*T1^7*T2^8 - 3444*T1^8*T2^8 + 1794*T1^9*T2^8 + 2501*T1^10*T2^8 - 
     1548*T1^11*T2^8 + 292*T1^12*T2^8 + 90*T1^13*T2^8 + 23*T1^14*T2^8 + 
     12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 20*T1^2*T2^9 - 25*T1^3*T2^9 - 
     213*T1^4*T2^9 + 349*T1^5*T2^9 + 754*T1^6*T2^9 - 3897*T1^7*T2^9 + 
     1794*T1^8*T2^9 + 1794*T1^9*T2^9 - 3897*T1^10*T2^9 + 754*T1^11*T2^9 + 
     349*T1^12*T2^9 - 213*T1^13*T2^9 - 25*T1^14*T2^9 - 20*T1^15*T2^9 - 
     4*T1^16*T2^9 + 9*T1^2*T2^10 + 21*T1^3*T2^10 + 48*T1^4*T2^10 + 
     87*T1^5*T2^10 - 632*T1^6*T2^10 + 754*T1^7*T2^10 + 2501*T1^8*T2^10 - 
     3897*T1^9*T2^10 + 2501*T1^10*T2^10 + 754*T1^11*T2^10 - 632*T1^12*T2^10 + 
     87*T1^13*T2^10 + 48*T1^14*T2^10 + 21*T1^15*T2^10 + 9*T1^16*T2^10 - 
     14*T1^3*T2^11 - 13*T1^4*T2^11 - 37*T1^5*T2^11 + 87*T1^6*T2^11 + 
     349*T1^7*T2^11 - 1548*T1^8*T2^11 + 754*T1^9*T2^11 + 754*T1^10*T2^11 - 
     1548*T1^11*T2^11 + 349*T1^12*T2^11 + 87*T1^13*T2^11 - 37*T1^14*T2^11 - 
     13*T1^15*T2^11 - 14*T1^16*T2^11 + 17*T1^4*T2^12 - 13*T1^5*T2^12 + 
     48*T1^6*T2^12 - 213*T1^7*T2^12 + 292*T1^8*T2^12 + 349*T1^9*T2^12 - 
     632*T1^10*T2^12 + 349*T1^11*T2^12 + 292*T1^12*T2^12 - 213*T1^13*T2^12 + 
     48*T1^14*T2^12 - 13*T1^15*T2^12 + 17*T1^16*T2^12 - 14*T1^5*T2^13 + 
     21*T1^6*T2^13 - 25*T1^7*T2^13 + 90*T1^8*T2^13 - 213*T1^9*T2^13 + 
     87*T1^10*T2^13 + 87*T1^11*T2^13 - 213*T1^12*T2^13 + 90*T1^13*T2^13 - 
     25*T1^14*T2^13 + 21*T1^15*T2^13 - 14*T1^16*T2^13 + 9*T1^6*T2^14 - 
     20*T1^7*T2^14 + 23*T1^8*T2^14 - 25*T1^9*T2^14 + 48*T1^10*T2^14 - 
     37*T1^11*T2^14 + 48*T1^12*T2^14 - 25*T1^13*T2^14 + 23*T1^14*T2^14 - 
     20*T1^15*T2^14 + 9*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 
     20*T1^9*T2^15 + 21*T1^10*T2^15 - 13*T1^11*T2^15 - 13*T1^12*T2^15 + 
     21*T1^13*T2^15 - 20*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + 
     T1^8*T2^16 - 4*T1^9*T2^16 + 9*T1^10*T2^16 - 14*T1^11*T2^16 + 
     17*T1^12*T2^16 - 14*T1^13*T2^16 + 9*T1^14*T2^16 - 4*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, 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), 0}, 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), (7 - 25*T1 + 47*T1^2 - 61*T1^3 + 61*T1^4 - 61*T1^5 + 47*T1^6 - 
     25*T1^7 + 7*T1^8 - 25*T2 + 64*T1*T2 - 78*T1^2*T2 + 50*T1^3*T2 + 
     50*T1^6*T2 - 78*T1^7*T2 + 64*T1^8*T2 - 25*T1^9*T2 + 47*T2^2 - 
     78*T1*T2^2 + 44*T1^2*T2^2 + 26*T1^3*T2^2 - 82*T1^4*T2^2 + 4*T1^5*T2^2 - 
     82*T1^6*T2^2 + 26*T1^7*T2^2 + 44*T1^8*T2^2 - 78*T1^9*T2^2 + 
     47*T1^10*T2^2 - 61*T2^3 + 50*T1*T2^3 + 26*T1^2*T2^3 - 88*T1^3*T2^3 + 
     106*T1^4*T2^3 + 66*T1^5*T2^3 + 66*T1^6*T2^3 + 106*T1^7*T2^3 - 
     88*T1^8*T2^3 + 26*T1^9*T2^3 + 50*T1^10*T2^3 - 61*T1^11*T2^3 + 61*T2^4 - 
     82*T1^2*T2^4 + 106*T1^3*T2^4 - 94*T1^4*T2^4 - 84*T1^5*T2^4 - 
     146*T1^6*T2^4 - 84*T1^7*T2^4 - 94*T1^8*T2^4 + 106*T1^9*T2^4 - 
     82*T1^10*T2^4 + 61*T1^12*T2^4 - 61*T2^5 + 4*T1^2*T2^5 + 66*T1^3*T2^5 - 
     84*T1^4*T2^5 + 166*T1^5*T2^5 + 112*T1^6*T2^5 + 112*T1^7*T2^5 + 
     166*T1^8*T2^5 - 84*T1^9*T2^5 + 66*T1^10*T2^5 + 4*T1^11*T2^5 - 
     61*T1^13*T2^5 + 47*T2^6 + 50*T1*T2^6 - 82*T1^2*T2^6 + 66*T1^3*T2^6 - 
     146*T1^4*T2^6 + 112*T1^5*T2^6 - 279*T1^6*T2^6 + 77*T1^7*T2^6 - 
     279*T1^8*T2^6 + 112*T1^9*T2^6 - 146*T1^10*T2^6 + 66*T1^11*T2^6 - 
     82*T1^12*T2^6 + 50*T1^13*T2^6 + 47*T1^14*T2^6 - 25*T2^7 - 78*T1*T2^7 + 
     26*T1^2*T2^7 + 106*T1^3*T2^7 - 84*T1^4*T2^7 + 112*T1^5*T2^7 + 
     77*T1^6*T2^7 + 28*T1^7*T2^7 + 28*T1^8*T2^7 + 77*T1^9*T2^7 + 
     112*T1^10*T2^7 - 84*T1^11*T2^7 + 106*T1^12*T2^7 + 26*T1^13*T2^7 - 
     78*T1^14*T2^7 - 25*T1^15*T2^7 + 7*T2^8 + 64*T1*T2^8 + 44*T1^2*T2^8 - 
     88*T1^3*T2^8 - 94*T1^4*T2^8 + 166*T1^5*T2^8 - 279*T1^6*T2^8 + 
     28*T1^7*T2^8 + 12*T1^8*T2^8 + 28*T1^9*T2^8 - 279*T1^10*T2^8 + 
     166*T1^11*T2^8 - 94*T1^12*T2^8 - 88*T1^13*T2^8 + 44*T1^14*T2^8 + 
     64*T1^15*T2^8 + 7*T1^16*T2^8 - 25*T1*T2^9 - 78*T1^2*T2^9 + 
     26*T1^3*T2^9 + 106*T1^4*T2^9 - 84*T1^5*T2^9 + 112*T1^6*T2^9 + 
     77*T1^7*T2^9 + 28*T1^8*T2^9 + 28*T1^9*T2^9 + 77*T1^10*T2^9 + 
     112*T1^11*T2^9 - 84*T1^12*T2^9 + 106*T1^13*T2^9 + 26*T1^14*T2^9 - 
     78*T1^15*T2^9 - 25*T1^16*T2^9 + 47*T1^2*T2^10 + 50*T1^3*T2^10 - 
     82*T1^4*T2^10 + 66*T1^5*T2^10 - 146*T1^6*T2^10 + 112*T1^7*T2^10 - 
     279*T1^8*T2^10 + 77*T1^9*T2^10 - 279*T1^10*T2^10 + 112*T1^11*T2^10 - 
     146*T1^12*T2^10 + 66*T1^13*T2^10 - 82*T1^14*T2^10 + 50*T1^15*T2^10 + 
     47*T1^16*T2^10 - 61*T1^3*T2^11 + 4*T1^5*T2^11 + 66*T1^6*T2^11 - 
     84*T1^7*T2^11 + 166*T1^8*T2^11 + 112*T1^9*T2^11 + 112*T1^10*T2^11 + 
     166*T1^11*T2^11 - 84*T1^12*T2^11 + 66*T1^13*T2^11 + 4*T1^14*T2^11 - 
     61*T1^16*T2^11 + 61*T1^4*T2^12 - 82*T1^6*T2^12 + 106*T1^7*T2^12 - 
     94*T1^8*T2^12 - 84*T1^9*T2^12 - 146*T1^10*T2^12 - 84*T1^11*T2^12 - 
     94*T1^12*T2^12 + 106*T1^13*T2^12 - 82*T1^14*T2^12 + 61*T1^16*T2^12 - 
     61*T1^5*T2^13 + 50*T1^6*T2^13 + 26*T1^7*T2^13 - 88*T1^8*T2^13 + 
     106*T1^9*T2^13 + 66*T1^10*T2^13 + 66*T1^11*T2^13 + 106*T1^12*T2^13 - 
     88*T1^13*T2^13 + 26*T1^14*T2^13 + 50*T1^15*T2^13 - 61*T1^16*T2^13 + 
     47*T1^6*T2^14 - 78*T1^7*T2^14 + 44*T1^8*T2^14 + 26*T1^9*T2^14 - 
     82*T1^10*T2^14 + 4*T1^11*T2^14 - 82*T1^12*T2^14 + 26*T1^13*T2^14 + 
     44*T1^14*T2^14 - 78*T1^15*T2^14 + 47*T1^16*T2^14 - 25*T1^7*T2^15 + 
     64*T1^8*T2^15 - 78*T1^9*T2^15 + 50*T1^10*T2^15 + 50*T1^13*T2^15 - 
     78*T1^14*T2^15 + 64*T1^15*T2^15 - 25*T1^16*T2^15 + 7*T1^8*T2^16 - 
     25*T1^9*T2^16 + 47*T1^10*T2^16 - 61*T1^11*T2^16 + 61*T1^12*T2^16 - 
     61*T1^13*T2^16 + 47*T1^14*T2^16 - 25*T1^15*T2^16 + 7*T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 1275] -> 
  {-((4 - 16*T + 33*T^2 - 43*T^3 + 33*T^4 - 16*T^5 + 4*T^6)/T^3), 0}, 
 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), 
   (7 - 21*T1 + 35*T1^2 - 45*T1^3 + 45*T1^4 - 45*T1^5 + 35*T1^6 - 21*T1^7 + 
     7*T1^8 - 21*T2 + 42*T1*T2 - 42*T1^2*T2 + 30*T1^3*T2 + 30*T1^6*T2 - 
     42*T1^7*T2 + 42*T1^8*T2 - 21*T1^9*T2 + 35*T2^2 - 42*T1*T2^2 + 
     21*T1^2*T2^2 - 11*T1^3*T2^2 - 25*T1^4*T2^2 - 13*T1^5*T2^2 - 
     25*T1^6*T2^2 - 11*T1^7*T2^2 + 21*T1^8*T2^2 - 42*T1^9*T2^2 + 
     35*T1^10*T2^2 - 45*T2^3 + 30*T1*T2^3 - 11*T1^2*T2^3 + 16*T1^3*T2^3 + 
     44*T1^4*T2^3 + 28*T1^5*T2^3 + 28*T1^6*T2^3 + 44*T1^7*T2^3 + 
     16*T1^8*T2^3 - 11*T1^9*T2^3 + 30*T1^10*T2^3 - 45*T1^11*T2^3 + 45*T2^4 - 
     25*T1^2*T2^4 + 44*T1^3*T2^4 - 149*T1^4*T2^4 + 61*T1^5*T2^4 - 
     143*T1^6*T2^4 + 61*T1^7*T2^4 - 149*T1^8*T2^4 + 44*T1^9*T2^4 - 
     25*T1^10*T2^4 + 45*T1^12*T2^4 - 45*T2^5 - 13*T1^2*T2^5 + 28*T1^3*T2^5 + 
     61*T1^4*T2^5 + 38*T1^5*T2^5 + 38*T1^6*T2^5 + 38*T1^7*T2^5 + 
     38*T1^8*T2^5 + 61*T1^9*T2^5 + 28*T1^10*T2^5 - 13*T1^11*T2^5 - 
     45*T1^13*T2^5 + 35*T2^6 + 30*T1*T2^6 - 25*T1^2*T2^6 + 28*T1^3*T2^6 - 
     143*T1^4*T2^6 + 38*T1^5*T2^6 - 69*T1^6*T2^6 + 25*T1^7*T2^6 - 
     69*T1^8*T2^6 + 38*T1^9*T2^6 - 143*T1^10*T2^6 + 28*T1^11*T2^6 - 
     25*T1^12*T2^6 + 30*T1^13*T2^6 + 35*T1^14*T2^6 - 21*T2^7 - 42*T1*T2^7 - 
     11*T1^2*T2^7 + 44*T1^3*T2^7 + 61*T1^4*T2^7 + 38*T1^5*T2^7 + 
     25*T1^6*T2^7 - 22*T1^7*T2^7 - 22*T1^8*T2^7 + 25*T1^9*T2^7 + 
     38*T1^10*T2^7 + 61*T1^11*T2^7 + 44*T1^12*T2^7 - 11*T1^13*T2^7 - 
     42*T1^14*T2^7 - 21*T1^15*T2^7 + 7*T2^8 + 42*T1*T2^8 + 21*T1^2*T2^8 + 
     16*T1^3*T2^8 - 149*T1^4*T2^8 + 38*T1^5*T2^8 - 69*T1^6*T2^8 - 
     22*T1^7*T2^8 + 108*T1^8*T2^8 - 22*T1^9*T2^8 - 69*T1^10*T2^8 + 
     38*T1^11*T2^8 - 149*T1^12*T2^8 + 16*T1^13*T2^8 + 21*T1^14*T2^8 + 
     42*T1^15*T2^8 + 7*T1^16*T2^8 - 21*T1*T2^9 - 42*T1^2*T2^9 - 
     11*T1^3*T2^9 + 44*T1^4*T2^9 + 61*T1^5*T2^9 + 38*T1^6*T2^9 + 
     25*T1^7*T2^9 - 22*T1^8*T2^9 - 22*T1^9*T2^9 + 25*T1^10*T2^9 + 
     38*T1^11*T2^9 + 61*T1^12*T2^9 + 44*T1^13*T2^9 - 11*T1^14*T2^9 - 
     42*T1^15*T2^9 - 21*T1^16*T2^9 + 35*T1^2*T2^10 + 30*T1^3*T2^10 - 
     25*T1^4*T2^10 + 28*T1^5*T2^10 - 143*T1^6*T2^10 + 38*T1^7*T2^10 - 
     69*T1^8*T2^10 + 25*T1^9*T2^10 - 69*T1^10*T2^10 + 38*T1^11*T2^10 - 
     143*T1^12*T2^10 + 28*T1^13*T2^10 - 25*T1^14*T2^10 + 30*T1^15*T2^10 + 
     35*T1^16*T2^10 - 45*T1^3*T2^11 - 13*T1^5*T2^11 + 28*T1^6*T2^11 + 
     61*T1^7*T2^11 + 38*T1^8*T2^11 + 38*T1^9*T2^11 + 38*T1^10*T2^11 + 
     38*T1^11*T2^11 + 61*T1^12*T2^11 + 28*T1^13*T2^11 - 13*T1^14*T2^11 - 
     45*T1^16*T2^11 + 45*T1^4*T2^12 - 25*T1^6*T2^12 + 44*T1^7*T2^12 - 
     149*T1^8*T2^12 + 61*T1^9*T2^12 - 143*T1^10*T2^12 + 61*T1^11*T2^12 - 
     149*T1^12*T2^12 + 44*T1^13*T2^12 - 25*T1^14*T2^12 + 45*T1^16*T2^12 - 
     45*T1^5*T2^13 + 30*T1^6*T2^13 - 11*T1^7*T2^13 + 16*T1^8*T2^13 + 
     44*T1^9*T2^13 + 28*T1^10*T2^13 + 28*T1^11*T2^13 + 44*T1^12*T2^13 + 
     16*T1^13*T2^13 - 11*T1^14*T2^13 + 30*T1^15*T2^13 - 45*T1^16*T2^13 + 
     35*T1^6*T2^14 - 42*T1^7*T2^14 + 21*T1^8*T2^14 - 11*T1^9*T2^14 - 
     25*T1^10*T2^14 - 13*T1^11*T2^14 - 25*T1^12*T2^14 - 11*T1^13*T2^14 + 
     21*T1^14*T2^14 - 42*T1^15*T2^14 + 35*T1^16*T2^14 - 21*T1^7*T2^15 + 
     42*T1^8*T2^15 - 42*T1^9*T2^15 + 30*T1^10*T2^15 + 30*T1^13*T2^15 - 
     42*T1^14*T2^15 + 42*T1^15*T2^15 - 21*T1^16*T2^15 + 7*T1^8*T2^16 - 
     21*T1^9*T2^16 + 35*T1^10*T2^16 - 45*T1^11*T2^16 + 45*T1^12*T2^16 - 
     45*T1^13*T2^16 + 35*T1^14*T2^16 - 21*T1^15*T2^16 + 7*T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, Alternating, 1277] -> 
  {-(((-2 + 3*T - 4*T^2 + 2*T^3)*(-2 + 4*T - 3*T^2 + 2*T^3))/T^3), 
   (4*T1 - 12*T1^2 + 16*T1^3 - 12*T1^4 + 4*T1^5 + 4*T2 - 22*T1*T2 + 
     36*T1^2*T2 - 20*T1^3*T2 - 20*T1^4*T2 + 36*T1^5*T2 - 22*T1^6*T2 + 
     4*T1^7*T2 - 12*T2^2 + 36*T1*T2^2 - 23*T1^2*T2^2 - 49*T1^3*T2^2 + 
     121*T1^4*T2^2 - 49*T1^5*T2^2 - 23*T1^6*T2^2 + 36*T1^7*T2^2 - 
     12*T1^8*T2^2 + 16*T2^3 - 20*T1*T2^3 - 49*T1^2*T2^3 + 158*T1^3*T2^3 - 
     140*T1^4*T2^3 - 140*T1^5*T2^3 + 158*T1^6*T2^3 - 49*T1^7*T2^3 - 
     20*T1^8*T2^3 + 16*T1^9*T2^3 - 12*T2^4 - 20*T1*T2^4 + 121*T1^2*T2^4 - 
     140*T1^3*T2^4 - 107*T1^4*T2^4 + 441*T1^5*T2^4 - 107*T1^6*T2^4 - 
     140*T1^7*T2^4 + 121*T1^8*T2^4 - 20*T1^9*T2^4 - 12*T1^10*T2^4 + 4*T2^5 + 
     36*T1*T2^5 - 49*T1^2*T2^5 - 140*T1^3*T2^5 + 441*T1^4*T2^5 - 
     376*T1^5*T2^5 - 376*T1^6*T2^5 + 441*T1^7*T2^5 - 140*T1^8*T2^5 - 
     49*T1^9*T2^5 + 36*T1^10*T2^5 + 4*T1^11*T2^5 - 22*T1*T2^6 - 
     23*T1^2*T2^6 + 158*T1^3*T2^6 - 107*T1^4*T2^6 - 376*T1^5*T2^6 + 
     924*T1^6*T2^6 - 376*T1^7*T2^6 - 107*T1^8*T2^6 + 158*T1^9*T2^6 - 
     23*T1^10*T2^6 - 22*T1^11*T2^6 + 4*T1*T2^7 + 36*T1^2*T2^7 - 
     49*T1^3*T2^7 - 140*T1^4*T2^7 + 441*T1^5*T2^7 - 376*T1^6*T2^7 - 
     376*T1^7*T2^7 + 441*T1^8*T2^7 - 140*T1^9*T2^7 - 49*T1^10*T2^7 + 
     36*T1^11*T2^7 + 4*T1^12*T2^7 - 12*T1^2*T2^8 - 20*T1^3*T2^8 + 
     121*T1^4*T2^8 - 140*T1^5*T2^8 - 107*T1^6*T2^8 + 441*T1^7*T2^8 - 
     107*T1^8*T2^8 - 140*T1^9*T2^8 + 121*T1^10*T2^8 - 20*T1^11*T2^8 - 
     12*T1^12*T2^8 + 16*T1^3*T2^9 - 20*T1^4*T2^9 - 49*T1^5*T2^9 + 
     158*T1^6*T2^9 - 140*T1^7*T2^9 - 140*T1^8*T2^9 + 158*T1^9*T2^9 - 
     49*T1^10*T2^9 - 20*T1^11*T2^9 + 16*T1^12*T2^9 - 12*T1^4*T2^10 + 
     36*T1^5*T2^10 - 23*T1^6*T2^10 - 49*T1^7*T2^10 + 121*T1^8*T2^10 - 
     49*T1^9*T2^10 - 23*T1^10*T2^10 + 36*T1^11*T2^10 - 12*T1^12*T2^10 + 
     4*T1^5*T2^11 - 22*T1^6*T2^11 + 36*T1^7*T2^11 - 20*T1^8*T2^11 - 
     20*T1^9*T2^11 + 36*T1^10*T2^11 - 22*T1^11*T2^11 + 4*T1^12*T2^11 + 
     4*T1^7*T2^12 - 12*T1^8*T2^12 + 16*T1^9*T2^12 - 12*T1^10*T2^12 + 
     4*T1^11*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 1278] -> 
  {-((3 - 7*T + 7*T^2 - 7*T^3 + 7*T^4 - 7*T^5 + 3*T^6)/T^3), 
   (45 - 103*T1 + 103*T1^2 - 103*T1^3 + 103*T1^4 - 103*T1^5 + 45*T1^6 - 
     103*T2 + 132*T1*T2 + 132*T1^6*T2 - 103*T1^7*T2 + 103*T2^2 - 
     222*T1^2*T2^2 + 126*T1^3*T2^2 - 126*T1^4*T2^2 + 126*T1^5*T2^2 - 
     222*T1^6*T2^2 + 103*T1^8*T2^2 - 103*T2^3 + 126*T1^2*T2^3 + 
     48*T1^3*T2^3 + 48*T1^6*T2^3 + 126*T1^7*T2^3 - 103*T1^9*T2^3 + 103*T2^4 - 
     126*T1^2*T2^4 - 89*T1^4*T2^4 + 77*T1^5*T2^4 - 89*T1^6*T2^4 - 
     126*T1^8*T2^4 + 103*T1^10*T2^4 - 103*T2^5 + 126*T1^2*T2^5 + 
     77*T1^4*T2^5 - 36*T1^5*T2^5 - 36*T1^6*T2^5 + 77*T1^7*T2^5 + 
     126*T1^9*T2^5 - 103*T1^11*T2^5 + 45*T2^6 + 132*T1*T2^6 - 222*T1^2*T2^6 + 
     48*T1^3*T2^6 - 89*T1^4*T2^6 - 36*T1^5*T2^6 + 132*T1^6*T2^6 - 
     36*T1^7*T2^6 - 89*T1^8*T2^6 + 48*T1^9*T2^6 - 222*T1^10*T2^6 + 
     132*T1^11*T2^6 + 45*T1^12*T2^6 - 103*T1*T2^7 + 126*T1^3*T2^7 + 
     77*T1^5*T2^7 - 36*T1^6*T2^7 - 36*T1^7*T2^7 + 77*T1^8*T2^7 + 
     126*T1^10*T2^7 - 103*T1^12*T2^7 + 103*T1^2*T2^8 - 126*T1^4*T2^8 - 
     89*T1^6*T2^8 + 77*T1^7*T2^8 - 89*T1^8*T2^8 - 126*T1^10*T2^8 + 
     103*T1^12*T2^8 - 103*T1^3*T2^9 + 126*T1^5*T2^9 + 48*T1^6*T2^9 + 
     48*T1^9*T2^9 + 126*T1^10*T2^9 - 103*T1^12*T2^9 + 103*T1^4*T2^10 - 
     222*T1^6*T2^10 + 126*T1^7*T2^10 - 126*T1^8*T2^10 + 126*T1^9*T2^10 - 
     222*T1^10*T2^10 + 103*T1^12*T2^10 - 103*T1^5*T2^11 + 132*T1^6*T2^11 + 
     132*T1^11*T2^11 - 103*T1^12*T2^11 + 45*T1^6*T2^12 - 103*T1^7*T2^12 + 
     103*T1^8*T2^12 - 103*T1^9*T2^12 + 103*T1^10*T2^12 - 103*T1^11*T2^12 + 
     45*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, Alternating, 1279] -> 
  {-((6 - 17*T + 21*T^2 - 17*T^3 + 6*T^4)/T^2), 
   (171 - 455*T1 + 543*T1^2 - 455*T1^3 + 171*T1^4 - 455*T2 + 752*T1*T2 - 
     236*T1^2*T2 - 236*T1^3*T2 + 752*T1^4*T2 - 455*T1^5*T2 + 543*T2^2 - 
     236*T1*T2^2 - 1119*T1^2*T2^2 + 1381*T1^3*T2^2 - 1119*T1^4*T2^2 - 
     236*T1^5*T2^2 + 543*T1^6*T2^2 - 455*T2^3 - 236*T1*T2^3 + 
     1381*T1^2*T2^3 - 550*T1^3*T2^3 - 550*T1^4*T2^3 + 1381*T1^5*T2^3 - 
     236*T1^6*T2^3 - 455*T1^7*T2^3 + 171*T2^4 + 752*T1*T2^4 - 
     1119*T1^2*T2^4 - 550*T1^3*T2^4 + 1224*T1^4*T2^4 - 550*T1^5*T2^4 - 
     1119*T1^6*T2^4 + 752*T1^7*T2^4 + 171*T1^8*T2^4 - 455*T1*T2^5 - 
     236*T1^2*T2^5 + 1381*T1^3*T2^5 - 550*T1^4*T2^5 - 550*T1^5*T2^5 + 
     1381*T1^6*T2^5 - 236*T1^7*T2^5 - 455*T1^8*T2^5 + 543*T1^2*T2^6 - 
     236*T1^3*T2^6 - 1119*T1^4*T2^6 + 1381*T1^5*T2^6 - 1119*T1^6*T2^6 - 
     236*T1^7*T2^6 + 543*T1^8*T2^6 - 455*T1^3*T2^7 + 752*T1^4*T2^7 - 
     236*T1^5*T2^7 - 236*T1^6*T2^7 + 752*T1^7*T2^7 - 455*T1^8*T2^7 + 
     171*T1^4*T2^8 - 455*T1^5*T2^8 + 543*T1^6*T2^8 - 455*T1^7*T2^8 + 
     171*T1^8*T2^8)/(T1^4*T2^4)}, 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, 
   0}, Knot[12, Alternating, 1281] -> 
  {-((4 - 13*T + 23*T^2 - 29*T^3 + 23*T^4 - 13*T^5 + 4*T^6)/T^3), 0}, 
 Knot[12, Alternating, 1282] -> {-((6 - 16*T + 19*T^2 - 16*T^3 + 6*T^4)/T^2), 
   (171 - 439*T1 + 511*T1^2 - 439*T1^3 + 171*T1^4 - 439*T2 + 688*T1*T2 - 
     188*T1^2*T2 - 188*T1^3*T2 + 688*T1^4*T2 - 439*T1^5*T2 + 511*T2^2 - 
     188*T1*T2^2 - 1056*T1^2*T2^2 + 1218*T1^3*T2^2 - 1056*T1^4*T2^2 - 
     188*T1^5*T2^2 + 511*T1^6*T2^2 - 439*T2^3 - 188*T1*T2^3 + 
     1218*T1^2*T2^3 - 442*T1^3*T2^3 - 442*T1^4*T2^3 + 1218*T1^5*T2^3 - 
     188*T1^6*T2^3 - 439*T1^7*T2^3 + 171*T2^4 + 688*T1*T2^4 - 
     1056*T1^2*T2^4 - 442*T1^3*T2^4 + 984*T1^4*T2^4 - 442*T1^5*T2^4 - 
     1056*T1^6*T2^4 + 688*T1^7*T2^4 + 171*T1^8*T2^4 - 439*T1*T2^5 - 
     188*T1^2*T2^5 + 1218*T1^3*T2^5 - 442*T1^4*T2^5 - 442*T1^5*T2^5 + 
     1218*T1^6*T2^5 - 188*T1^7*T2^5 - 439*T1^8*T2^5 + 511*T1^2*T2^6 - 
     188*T1^3*T2^6 - 1056*T1^4*T2^6 + 1218*T1^5*T2^6 - 1056*T1^6*T2^6 - 
     188*T1^7*T2^6 + 511*T1^8*T2^6 - 439*T1^3*T2^7 + 688*T1^4*T2^7 - 
     188*T1^5*T2^7 - 188*T1^6*T2^7 + 688*T1^7*T2^7 - 439*T1^8*T2^7 + 
     171*T1^4*T2^8 - 439*T1^5*T2^8 + 511*T1^6*T2^8 - 439*T1^7*T2^8 + 
     171*T1^8*T2^8)/(T1^4*T2^4)}, 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)*
      (1 - 2*T1 + T1^2 - T1^3 + T1^4 - 2*T1^5 + T1^6 - 2*T2 + 2*T1*T2 + 
       2*T1^2*T2 + 2*T1^5*T2 + 2*T1^6*T2 - 2*T1^7*T2 + T2^2 + 2*T1*T2^2 - 
       9*T1^2*T2^2 + 7*T1^3*T2^2 - 7*T1^4*T2^2 + 7*T1^5*T2^2 - 9*T1^6*T2^2 + 
       2*T1^7*T2^2 + T1^8*T2^2 - T2^3 + 7*T1^2*T2^3 - 4*T1^3*T2^3 - 
       T1^4*T2^3 - T1^5*T2^3 - 4*T1^6*T2^3 + 7*T1^7*T2^3 - T1^9*T2^3 + T2^4 - 
       7*T1^2*T2^4 - T1^3*T2^4 + 5*T1^4*T2^4 + 5*T1^5*T2^4 + 5*T1^6*T2^4 - 
       T1^7*T2^4 - 7*T1^8*T2^4 + T1^10*T2^4 - 2*T2^5 + 2*T1*T2^5 + 
       7*T1^2*T2^5 - T1^3*T2^5 + 5*T1^4*T2^5 - 14*T1^5*T2^5 - 14*T1^6*T2^5 + 
       5*T1^7*T2^5 - T1^8*T2^5 + 7*T1^9*T2^5 + 2*T1^10*T2^5 - 2*T1^11*T2^5 + 
       T2^6 + 2*T1*T2^6 - 9*T1^2*T2^6 - 4*T1^3*T2^6 + 5*T1^4*T2^6 - 
       14*T1^5*T2^6 + 48*T1^6*T2^6 - 14*T1^7*T2^6 + 5*T1^8*T2^6 - 
       4*T1^9*T2^6 - 9*T1^10*T2^6 + 2*T1^11*T2^6 + T1^12*T2^6 - 2*T1*T2^7 + 
       2*T1^2*T2^7 + 7*T1^3*T2^7 - T1^4*T2^7 + 5*T1^5*T2^7 - 14*T1^6*T2^7 - 
       14*T1^7*T2^7 + 5*T1^8*T2^7 - T1^9*T2^7 + 7*T1^10*T2^7 + 2*T1^11*T2^7 - 
       2*T1^12*T2^7 + T1^2*T2^8 - 7*T1^4*T2^8 - T1^5*T2^8 + 5*T1^6*T2^8 + 
       5*T1^7*T2^8 + 5*T1^8*T2^8 - T1^9*T2^8 - 7*T1^10*T2^8 + T1^12*T2^8 - 
       T1^3*T2^9 + 7*T1^5*T2^9 - 4*T1^6*T2^9 - T1^7*T2^9 - T1^8*T2^9 - 
       4*T1^9*T2^9 + 7*T1^10*T2^9 - T1^12*T2^9 + T1^4*T2^10 + 2*T1^5*T2^10 - 
       9*T1^6*T2^10 + 7*T1^7*T2^10 - 7*T1^8*T2^10 + 7*T1^9*T2^10 - 
       9*T1^10*T2^10 + 2*T1^11*T2^10 + T1^12*T2^10 - 2*T1^5*T2^11 + 
       2*T1^6*T2^11 + 2*T1^7*T2^11 + 2*T1^10*T2^11 + 2*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))/(T1^8*T2^8))}, 
 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), 
   (7 - 25*T1 + 54*T1^2 - 86*T1^3 + 97*T1^4 - 86*T1^5 + 54*T1^6 - 25*T1^7 + 
     7*T1^8 - 25*T2 + 64*T1*T2 - 103*T1^2*T2 + 114*T1^3*T2 - 39*T1^4*T2 - 
     39*T1^5*T2 + 114*T1^6*T2 - 103*T1^7*T2 + 64*T1^8*T2 - 25*T1^9*T2 + 
     54*T2^2 - 103*T1*T2^2 + 144*T1^2*T2^2 - 135*T1^3*T2^2 - 8*T1^4*T2^2 + 
     12*T1^5*T2^2 - 8*T1^6*T2^2 - 135*T1^7*T2^2 + 144*T1^8*T2^2 - 
     103*T1^9*T2^2 + 54*T1^10*T2^2 - 86*T2^3 + 114*T1*T2^3 - 135*T1^2*T2^3 + 
     70*T1^3*T2^3 + 151*T1^4*T2^3 - 7*T1^5*T2^3 - 7*T1^6*T2^3 + 
     151*T1^7*T2^3 + 70*T1^8*T2^3 - 135*T1^9*T2^3 + 114*T1^10*T2^3 - 
     86*T1^11*T2^3 + 97*T2^4 - 39*T1*T2^4 - 8*T1^2*T2^4 + 151*T1^3*T2^4 - 
     348*T1^4*T2^4 - 41*T1^5*T2^4 - 22*T1^6*T2^4 - 41*T1^7*T2^4 - 
     348*T1^8*T2^4 + 151*T1^9*T2^4 - 8*T1^10*T2^4 - 39*T1^11*T2^4 + 
     97*T1^12*T2^4 - 86*T2^5 - 39*T1*T2^5 + 12*T1^2*T2^5 - 7*T1^3*T2^5 - 
     41*T1^4*T2^5 + 542*T1^5*T2^5 - 92*T1^6*T2^5 - 92*T1^7*T2^5 + 
     542*T1^8*T2^5 - 41*T1^9*T2^5 - 7*T1^10*T2^5 + 12*T1^11*T2^5 - 
     39*T1^12*T2^5 - 86*T1^13*T2^5 + 54*T2^6 + 114*T1*T2^6 - 8*T1^2*T2^6 - 
     7*T1^3*T2^6 - 22*T1^4*T2^6 - 92*T1^5*T2^6 - 817*T1^6*T2^6 + 
     859*T1^7*T2^6 - 817*T1^8*T2^6 - 92*T1^9*T2^6 - 22*T1^10*T2^6 - 
     7*T1^11*T2^6 - 8*T1^12*T2^6 + 114*T1^13*T2^6 + 54*T1^14*T2^6 - 25*T2^7 - 
     103*T1*T2^7 - 135*T1^2*T2^7 + 151*T1^3*T2^7 - 41*T1^4*T2^7 - 
     92*T1^5*T2^7 + 859*T1^6*T2^7 - 242*T1^7*T2^7 - 242*T1^8*T2^7 + 
     859*T1^9*T2^7 - 92*T1^10*T2^7 - 41*T1^11*T2^7 + 151*T1^12*T2^7 - 
     135*T1^13*T2^7 - 103*T1^14*T2^7 - 25*T1^15*T2^7 + 7*T2^8 + 64*T1*T2^8 + 
     144*T1^2*T2^8 + 70*T1^3*T2^8 - 348*T1^4*T2^8 + 542*T1^5*T2^8 - 
     817*T1^6*T2^8 - 242*T1^7*T2^8 + 408*T1^8*T2^8 - 242*T1^9*T2^8 - 
     817*T1^10*T2^8 + 542*T1^11*T2^8 - 348*T1^12*T2^8 + 70*T1^13*T2^8 + 
     144*T1^14*T2^8 + 64*T1^15*T2^8 + 7*T1^16*T2^8 - 25*T1*T2^9 - 
     103*T1^2*T2^9 - 135*T1^3*T2^9 + 151*T1^4*T2^9 - 41*T1^5*T2^9 - 
     92*T1^6*T2^9 + 859*T1^7*T2^9 - 242*T1^8*T2^9 - 242*T1^9*T2^9 + 
     859*T1^10*T2^9 - 92*T1^11*T2^9 - 41*T1^12*T2^9 + 151*T1^13*T2^9 - 
     135*T1^14*T2^9 - 103*T1^15*T2^9 - 25*T1^16*T2^9 + 54*T1^2*T2^10 + 
     114*T1^3*T2^10 - 8*T1^4*T2^10 - 7*T1^5*T2^10 - 22*T1^6*T2^10 - 
     92*T1^7*T2^10 - 817*T1^8*T2^10 + 859*T1^9*T2^10 - 817*T1^10*T2^10 - 
     92*T1^11*T2^10 - 22*T1^12*T2^10 - 7*T1^13*T2^10 - 8*T1^14*T2^10 + 
     114*T1^15*T2^10 + 54*T1^16*T2^10 - 86*T1^3*T2^11 - 39*T1^4*T2^11 + 
     12*T1^5*T2^11 - 7*T1^6*T2^11 - 41*T1^7*T2^11 + 542*T1^8*T2^11 - 
     92*T1^9*T2^11 - 92*T1^10*T2^11 + 542*T1^11*T2^11 - 41*T1^12*T2^11 - 
     7*T1^13*T2^11 + 12*T1^14*T2^11 - 39*T1^15*T2^11 - 86*T1^16*T2^11 + 
     97*T1^4*T2^12 - 39*T1^5*T2^12 - 8*T1^6*T2^12 + 151*T1^7*T2^12 - 
     348*T1^8*T2^12 - 41*T1^9*T2^12 - 22*T1^10*T2^12 - 41*T1^11*T2^12 - 
     348*T1^12*T2^12 + 151*T1^13*T2^12 - 8*T1^14*T2^12 - 39*T1^15*T2^12 + 
     97*T1^16*T2^12 - 86*T1^5*T2^13 + 114*T1^6*T2^13 - 135*T1^7*T2^13 + 
     70*T1^8*T2^13 + 151*T1^9*T2^13 - 7*T1^10*T2^13 - 7*T1^11*T2^13 + 
     151*T1^12*T2^13 + 70*T1^13*T2^13 - 135*T1^14*T2^13 + 114*T1^15*T2^13 - 
     86*T1^16*T2^13 + 54*T1^6*T2^14 - 103*T1^7*T2^14 + 144*T1^8*T2^14 - 
     135*T1^9*T2^14 - 8*T1^10*T2^14 + 12*T1^11*T2^14 - 8*T1^12*T2^14 - 
     135*T1^13*T2^14 + 144*T1^14*T2^14 - 103*T1^15*T2^14 + 54*T1^16*T2^14 - 
     25*T1^7*T2^15 + 64*T1^8*T2^15 - 103*T1^9*T2^15 + 114*T1^10*T2^15 - 
     39*T1^11*T2^15 - 39*T1^12*T2^15 + 114*T1^13*T2^15 - 103*T1^14*T2^15 + 
     64*T1^15*T2^15 - 25*T1^16*T2^15 + 7*T1^8*T2^16 - 25*T1^9*T2^16 + 
     54*T1^10*T2^16 - 86*T1^11*T2^16 + 97*T1^12*T2^16 - 86*T1^13*T2^16 + 
     54*T1^14*T2^16 - 25*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^8*T2^8)}, 
 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), 
   (7 - 21*T1 + 38*T1^2 - 54*T1^3 + 57*T1^4 - 54*T1^5 + 38*T1^6 - 21*T1^7 + 
     7*T1^8 - 21*T2 + 42*T1*T2 - 51*T1^2*T2 + 48*T1^3*T2 - 9*T1^4*T2 - 
     9*T1^5*T2 + 48*T1^6*T2 - 51*T1^7*T2 + 42*T1^8*T2 - 21*T1^9*T2 + 
     38*T2^2 - 51*T1*T2^2 + 51*T1^2*T2^2 - 48*T1^3*T2^2 - 8*T1^4*T2^2 - 
     21*T1^5*T2^2 - 8*T1^6*T2^2 - 48*T1^7*T2^2 + 51*T1^8*T2^2 - 
     51*T1^9*T2^2 + 38*T1^10*T2^2 - 54*T2^3 + 48*T1*T2^3 - 48*T1^2*T2^3 + 
     40*T1^3*T2^3 + 48*T1^4*T2^3 + 28*T1^5*T2^3 + 28*T1^6*T2^3 + 
     48*T1^7*T2^3 + 40*T1^8*T2^3 - 48*T1^9*T2^3 + 48*T1^10*T2^3 - 
     54*T1^11*T2^3 + 57*T2^4 - 9*T1*T2^4 - 8*T1^2*T2^4 + 48*T1^3*T2^4 - 
     158*T1^4*T2^4 + 33*T1^5*T2^4 - 122*T1^6*T2^4 + 33*T1^7*T2^4 - 
     158*T1^8*T2^4 + 48*T1^9*T2^4 - 8*T1^10*T2^4 - 9*T1^11*T2^4 + 
     57*T1^12*T2^4 - 54*T2^5 - 9*T1*T2^5 - 21*T1^2*T2^5 + 28*T1^3*T2^5 + 
     33*T1^4*T2^5 + 112*T1^5*T2^5 + 29*T1^6*T2^5 + 29*T1^7*T2^5 + 
     112*T1^8*T2^5 + 33*T1^9*T2^5 + 28*T1^10*T2^5 - 21*T1^11*T2^5 - 
     9*T1^12*T2^5 - 54*T1^13*T2^5 + 38*T2^6 + 48*T1*T2^6 - 8*T1^2*T2^6 + 
     28*T1^3*T2^6 - 122*T1^4*T2^6 + 29*T1^5*T2^6 - 197*T1^6*T2^6 + 
     137*T1^7*T2^6 - 197*T1^8*T2^6 + 29*T1^9*T2^6 - 122*T1^10*T2^6 + 
     28*T1^11*T2^6 - 8*T1^12*T2^6 + 48*T1^13*T2^6 + 38*T1^14*T2^6 - 21*T2^7 - 
     51*T1*T2^7 - 48*T1^2*T2^7 + 48*T1^3*T2^7 + 33*T1^4*T2^7 + 29*T1^5*T2^7 + 
     137*T1^6*T2^7 - 26*T1^7*T2^7 - 26*T1^8*T2^7 + 137*T1^9*T2^7 + 
     29*T1^10*T2^7 + 33*T1^11*T2^7 + 48*T1^12*T2^7 - 48*T1^13*T2^7 - 
     51*T1^14*T2^7 - 21*T1^15*T2^7 + 7*T2^8 + 42*T1*T2^8 + 51*T1^2*T2^8 + 
     40*T1^3*T2^8 - 158*T1^4*T2^8 + 112*T1^5*T2^8 - 197*T1^6*T2^8 - 
     26*T1^7*T2^8 + 72*T1^8*T2^8 - 26*T1^9*T2^8 - 197*T1^10*T2^8 + 
     112*T1^11*T2^8 - 158*T1^12*T2^8 + 40*T1^13*T2^8 + 51*T1^14*T2^8 + 
     42*T1^15*T2^8 + 7*T1^16*T2^8 - 21*T1*T2^9 - 51*T1^2*T2^9 - 
     48*T1^3*T2^9 + 48*T1^4*T2^9 + 33*T1^5*T2^9 + 29*T1^6*T2^9 + 
     137*T1^7*T2^9 - 26*T1^8*T2^9 - 26*T1^9*T2^9 + 137*T1^10*T2^9 + 
     29*T1^11*T2^9 + 33*T1^12*T2^9 + 48*T1^13*T2^9 - 48*T1^14*T2^9 - 
     51*T1^15*T2^9 - 21*T1^16*T2^9 + 38*T1^2*T2^10 + 48*T1^3*T2^10 - 
     8*T1^4*T2^10 + 28*T1^5*T2^10 - 122*T1^6*T2^10 + 29*T1^7*T2^10 - 
     197*T1^8*T2^10 + 137*T1^9*T2^10 - 197*T1^10*T2^10 + 29*T1^11*T2^10 - 
     122*T1^12*T2^10 + 28*T1^13*T2^10 - 8*T1^14*T2^10 + 48*T1^15*T2^10 + 
     38*T1^16*T2^10 - 54*T1^3*T2^11 - 9*T1^4*T2^11 - 21*T1^5*T2^11 + 
     28*T1^6*T2^11 + 33*T1^7*T2^11 + 112*T1^8*T2^11 + 29*T1^9*T2^11 + 
     29*T1^10*T2^11 + 112*T1^11*T2^11 + 33*T1^12*T2^11 + 28*T1^13*T2^11 - 
     21*T1^14*T2^11 - 9*T1^15*T2^11 - 54*T1^16*T2^11 + 57*T1^4*T2^12 - 
     9*T1^5*T2^12 - 8*T1^6*T2^12 + 48*T1^7*T2^12 - 158*T1^8*T2^12 + 
     33*T1^9*T2^12 - 122*T1^10*T2^12 + 33*T1^11*T2^12 - 158*T1^12*T2^12 + 
     48*T1^13*T2^12 - 8*T1^14*T2^12 - 9*T1^15*T2^12 + 57*T1^16*T2^12 - 
     54*T1^5*T2^13 + 48*T1^6*T2^13 - 48*T1^7*T2^13 + 40*T1^8*T2^13 + 
     48*T1^9*T2^13 + 28*T1^10*T2^13 + 28*T1^11*T2^13 + 48*T1^12*T2^13 + 
     40*T1^13*T2^13 - 48*T1^14*T2^13 + 48*T1^15*T2^13 - 54*T1^16*T2^13 + 
     38*T1^6*T2^14 - 51*T1^7*T2^14 + 51*T1^8*T2^14 - 48*T1^9*T2^14 - 
     8*T1^10*T2^14 - 21*T1^11*T2^14 - 8*T1^12*T2^14 - 48*T1^13*T2^14 + 
     51*T1^14*T2^14 - 51*T1^15*T2^14 + 38*T1^16*T2^14 - 21*T1^7*T2^15 + 
     42*T1^8*T2^15 - 51*T1^9*T2^15 + 48*T1^10*T2^15 - 9*T1^11*T2^15 - 
     9*T1^12*T2^15 + 48*T1^13*T2^15 - 51*T1^14*T2^15 + 42*T1^15*T2^15 - 
     21*T1^16*T2^15 + 7*T1^8*T2^16 - 21*T1^9*T2^16 + 38*T1^10*T2^16 - 
     54*T1^11*T2^16 + 57*T1^12*T2^16 - 54*T1^13*T2^16 + 38*T1^14*T2^16 - 
     21*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, Alternating, 1286] -> 
  {-(((1 - T + T^2)*(3 - 4*T + T^2 - 4*T^3 + 3*T^4))/T^3), 
   (45 - 103*T1 + 116*T1^2 - 129*T1^3 + 116*T1^4 - 103*T1^5 + 45*T1^6 - 
     103*T2 + 132*T1*T2 - 29*T1^2*T2 + 29*T1^3*T2 + 29*T1^4*T2 - 29*T1^5*T2 + 
     132*T1^6*T2 - 103*T1^7*T2 + 116*T2^2 - 29*T1*T2^2 - 157*T1^2*T2^2 + 
     88*T1^3*T2^2 - 151*T1^4*T2^2 + 88*T1^5*T2^2 - 157*T1^6*T2^2 - 
     29*T1^7*T2^2 + 116*T1^8*T2^2 - 129*T2^3 + 29*T1*T2^3 + 88*T1^2*T2^3 + 
     52*T1^3*T2^3 + 36*T1^4*T2^3 + 36*T1^5*T2^3 + 52*T1^6*T2^3 + 
     88*T1^7*T2^3 + 29*T1^8*T2^3 - 129*T1^9*T2^3 + 116*T2^4 + 29*T1*T2^4 - 
     151*T1^2*T2^4 + 36*T1^3*T2^4 - 155*T1^4*T2^4 + 87*T1^5*T2^4 - 
     155*T1^6*T2^4 + 36*T1^7*T2^4 - 151*T1^8*T2^4 + 29*T1^9*T2^4 + 
     116*T1^10*T2^4 - 103*T2^5 - 29*T1*T2^5 + 88*T1^2*T2^5 + 36*T1^3*T2^5 + 
     87*T1^4*T2^5 - 4*T1^5*T2^5 - 4*T1^6*T2^5 + 87*T1^7*T2^5 + 36*T1^8*T2^5 + 
     88*T1^9*T2^5 - 29*T1^10*T2^5 - 103*T1^11*T2^5 + 45*T2^6 + 132*T1*T2^6 - 
     157*T1^2*T2^6 + 52*T1^3*T2^6 - 155*T1^4*T2^6 - 4*T1^5*T2^6 + 
     36*T1^6*T2^6 - 4*T1^7*T2^6 - 155*T1^8*T2^6 + 52*T1^9*T2^6 - 
     157*T1^10*T2^6 + 132*T1^11*T2^6 + 45*T1^12*T2^6 - 103*T1*T2^7 - 
     29*T1^2*T2^7 + 88*T1^3*T2^7 + 36*T1^4*T2^7 + 87*T1^5*T2^7 - 
     4*T1^6*T2^7 - 4*T1^7*T2^7 + 87*T1^8*T2^7 + 36*T1^9*T2^7 + 
     88*T1^10*T2^7 - 29*T1^11*T2^7 - 103*T1^12*T2^7 + 116*T1^2*T2^8 + 
     29*T1^3*T2^8 - 151*T1^4*T2^8 + 36*T1^5*T2^8 - 155*T1^6*T2^8 + 
     87*T1^7*T2^8 - 155*T1^8*T2^8 + 36*T1^9*T2^8 - 151*T1^10*T2^8 + 
     29*T1^11*T2^8 + 116*T1^12*T2^8 - 129*T1^3*T2^9 + 29*T1^4*T2^9 + 
     88*T1^5*T2^9 + 52*T1^6*T2^9 + 36*T1^7*T2^9 + 36*T1^8*T2^9 + 
     52*T1^9*T2^9 + 88*T1^10*T2^9 + 29*T1^11*T2^9 - 129*T1^12*T2^9 + 
     116*T1^4*T2^10 - 29*T1^5*T2^10 - 157*T1^6*T2^10 + 88*T1^7*T2^10 - 
     151*T1^8*T2^10 + 88*T1^9*T2^10 - 157*T1^10*T2^10 - 29*T1^11*T2^10 + 
     116*T1^12*T2^10 - 103*T1^5*T2^11 + 132*T1^6*T2^11 - 29*T1^7*T2^11 + 
     29*T1^8*T2^11 + 29*T1^9*T2^11 - 29*T1^10*T2^11 + 132*T1^11*T2^11 - 
     103*T1^12*T2^11 + 45*T1^6*T2^12 - 103*T1^7*T2^12 + 116*T1^8*T2^12 - 
     129*T1^9*T2^12 + 116*T1^10*T2^12 - 103*T1^11*T2^12 + 45*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, Alternating, 1287] -> 
  {-((9 - 19*T + 9*T^2)/T), 0}, 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), 0}, 
 Knot[12, NonAlternating, 1] -> 
  {-((1 - 5*T + 13*T^2 - 19*T^3 + 13*T^4 - 5*T^5 + T^6)/T^3), 
   (T1 - 2*T1^2 - 2*T1^3 + T1^4 + T2 - 13*T1*T2 + 31*T1^2*T2 - 17*T1^3*T2 + 
     31*T1^4*T2 - 13*T1^5*T2 + T1^6*T2 - 2*T2^2 + 31*T1*T2^2 - 50*T1^2*T2^2 - 
     29*T1^3*T2^2 - 29*T1^4*T2^2 - 50*T1^5*T2^2 + 31*T1^6*T2^2 - 
     2*T1^7*T2^2 - 2*T2^3 - 17*T1*T2^3 - 29*T1^2*T2^3 + 140*T1^3*T2^3 + 
     96*T1^4*T2^3 + 140*T1^5*T2^3 - 29*T1^6*T2^3 - 17*T1^7*T2^3 - 
     2*T1^8*T2^3 + T2^4 + 31*T1*T2^4 - 29*T1^2*T2^4 + 96*T1^3*T2^4 - 
     352*T1^4*T2^4 - 352*T1^5*T2^4 + 96*T1^6*T2^4 - 29*T1^7*T2^4 + 
     31*T1^8*T2^4 + T1^9*T2^4 - 13*T1*T2^5 - 50*T1^2*T2^5 + 140*T1^3*T2^5 - 
     352*T1^4*T2^5 + 1164*T1^5*T2^5 - 352*T1^6*T2^5 + 140*T1^7*T2^5 - 
     50*T1^8*T2^5 - 13*T1^9*T2^5 + T1*T2^6 + 31*T1^2*T2^6 - 29*T1^3*T2^6 + 
     96*T1^4*T2^6 - 352*T1^5*T2^6 - 352*T1^6*T2^6 + 96*T1^7*T2^6 - 
     29*T1^8*T2^6 + 31*T1^9*T2^6 + T1^10*T2^6 - 2*T1^2*T2^7 - 17*T1^3*T2^7 - 
     29*T1^4*T2^7 + 140*T1^5*T2^7 + 96*T1^6*T2^7 + 140*T1^7*T2^7 - 
     29*T1^8*T2^7 - 17*T1^9*T2^7 - 2*T1^10*T2^7 - 2*T1^3*T2^8 + 
     31*T1^4*T2^8 - 50*T1^5*T2^8 - 29*T1^6*T2^8 - 29*T1^7*T2^8 - 
     50*T1^8*T2^8 + 31*T1^9*T2^8 - 2*T1^10*T2^8 + T1^4*T2^9 - 13*T1^5*T2^9 + 
     31*T1^6*T2^9 - 17*T1^7*T2^9 + 31*T1^8*T2^9 - 13*T1^9*T2^9 + T1^10*T2^9 + 
     T1^6*T2^10 - 2*T1^7*T2^10 - 2*T1^8*T2^10 + T1^9*T2^10)/(T1^5*T2^5)}, 
 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), -((1 - 5*T1 + 11*T1^2 - 16*T1^3 + 17*T1^4 - 16*T1^5 + 11*T1^6 - 
      5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 30*T1^2*T2 + 25*T1^3*T2 - 5*T1^4*T2 - 
      5*T1^5*T2 + 25*T1^6*T2 - 30*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
      11*T2^2 - 30*T1*T2^2 + 8*T1^2*T2^2 + 42*T1^3*T2^2 - 91*T1^4*T2^2 + 
      74*T1^5*T2^2 - 91*T1^6*T2^2 + 42*T1^7*T2^2 + 8*T1^8*T2^2 - 
      30*T1^9*T2^2 + 11*T1^10*T2^2 - 16*T2^3 + 25*T1*T2^3 + 42*T1^2*T2^3 - 
      92*T1^3*T2^3 + 95*T1^4*T2^3 + 11*T1^5*T2^3 + 11*T1^6*T2^3 + 
      95*T1^7*T2^3 - 92*T1^8*T2^3 + 42*T1^9*T2^3 + 25*T1^10*T2^3 - 
      16*T1^11*T2^3 + 17*T2^4 - 5*T1*T2^4 - 91*T1^2*T2^4 + 95*T1^3*T2^4 - 
      45*T1^4*T2^4 - 99*T1^5*T2^4 + 11*T1^6*T2^4 - 99*T1^7*T2^4 - 
      45*T1^8*T2^4 + 95*T1^9*T2^4 - 91*T1^10*T2^4 - 5*T1^11*T2^4 + 
      17*T1^12*T2^4 - 16*T2^5 - 5*T1*T2^5 + 74*T1^2*T2^5 + 11*T1^3*T2^5 - 
      99*T1^4*T2^5 + 210*T1^5*T2^5 - 16*T1^6*T2^5 - 16*T1^7*T2^5 + 
      210*T1^8*T2^5 - 99*T1^9*T2^5 + 11*T1^10*T2^5 + 74*T1^11*T2^5 - 
      5*T1^12*T2^5 - 16*T1^13*T2^5 + 11*T2^6 + 25*T1*T2^6 - 91*T1^2*T2^6 + 
      11*T1^3*T2^6 + 11*T1^4*T2^6 - 16*T1^5*T2^6 - 288*T1^6*T2^6 + 
      382*T1^7*T2^6 - 288*T1^8*T2^6 - 16*T1^9*T2^6 + 11*T1^10*T2^6 + 
      11*T1^11*T2^6 - 91*T1^12*T2^6 + 25*T1^13*T2^6 + 11*T1^14*T2^6 - 
      5*T2^7 - 30*T1*T2^7 + 42*T1^2*T2^7 + 95*T1^3*T2^7 - 99*T1^4*T2^7 - 
      16*T1^5*T2^7 + 382*T1^6*T2^7 - 266*T1^7*T2^7 - 266*T1^8*T2^7 + 
      382*T1^9*T2^7 - 16*T1^10*T2^7 - 99*T1^11*T2^7 + 95*T1^12*T2^7 + 
      42*T1^13*T2^7 - 30*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 
      8*T1^2*T2^8 - 92*T1^3*T2^8 - 45*T1^4*T2^8 + 210*T1^5*T2^8 - 
      288*T1^6*T2^8 - 266*T1^7*T2^8 + 744*T1^8*T2^8 - 266*T1^9*T2^8 - 
      288*T1^10*T2^8 + 210*T1^11*T2^8 - 45*T1^12*T2^8 - 92*T1^13*T2^8 + 
      8*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 30*T1^2*T2^9 + 
      42*T1^3*T2^9 + 95*T1^4*T2^9 - 99*T1^5*T2^9 - 16*T1^6*T2^9 + 
      382*T1^7*T2^9 - 266*T1^8*T2^9 - 266*T1^9*T2^9 + 382*T1^10*T2^9 - 
      16*T1^11*T2^9 - 99*T1^12*T2^9 + 95*T1^13*T2^9 + 42*T1^14*T2^9 - 
      30*T1^15*T2^9 - 5*T1^16*T2^9 + 11*T1^2*T2^10 + 25*T1^3*T2^10 - 
      91*T1^4*T2^10 + 11*T1^5*T2^10 + 11*T1^6*T2^10 - 16*T1^7*T2^10 - 
      288*T1^8*T2^10 + 382*T1^9*T2^10 - 288*T1^10*T2^10 - 16*T1^11*T2^10 + 
      11*T1^12*T2^10 + 11*T1^13*T2^10 - 91*T1^14*T2^10 + 25*T1^15*T2^10 + 
      11*T1^16*T2^10 - 16*T1^3*T2^11 - 5*T1^4*T2^11 + 74*T1^5*T2^11 + 
      11*T1^6*T2^11 - 99*T1^7*T2^11 + 210*T1^8*T2^11 - 16*T1^9*T2^11 - 
      16*T1^10*T2^11 + 210*T1^11*T2^11 - 99*T1^12*T2^11 + 11*T1^13*T2^11 + 
      74*T1^14*T2^11 - 5*T1^15*T2^11 - 16*T1^16*T2^11 + 17*T1^4*T2^12 - 
      5*T1^5*T2^12 - 91*T1^6*T2^12 + 95*T1^7*T2^12 - 45*T1^8*T2^12 - 
      99*T1^9*T2^12 + 11*T1^10*T2^12 - 99*T1^11*T2^12 - 45*T1^12*T2^12 + 
      95*T1^13*T2^12 - 91*T1^14*T2^12 - 5*T1^15*T2^12 + 17*T1^16*T2^12 - 
      16*T1^5*T2^13 + 25*T1^6*T2^13 + 42*T1^7*T2^13 - 92*T1^8*T2^13 + 
      95*T1^9*T2^13 + 11*T1^10*T2^13 + 11*T1^11*T2^13 + 95*T1^12*T2^13 - 
      92*T1^13*T2^13 + 42*T1^14*T2^13 + 25*T1^15*T2^13 - 16*T1^16*T2^13 + 
      11*T1^6*T2^14 - 30*T1^7*T2^14 + 8*T1^8*T2^14 + 42*T1^9*T2^14 - 
      91*T1^10*T2^14 + 74*T1^11*T2^14 - 91*T1^12*T2^14 + 42*T1^13*T2^14 + 
      8*T1^14*T2^14 - 30*T1^15*T2^14 + 11*T1^16*T2^14 - 5*T1^7*T2^15 + 
      20*T1^8*T2^15 - 30*T1^9*T2^15 + 25*T1^10*T2^15 - 5*T1^11*T2^15 - 
      5*T1^12*T2^15 + 25*T1^13*T2^15 - 30*T1^14*T2^15 + 20*T1^15*T2^15 - 
      5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 11*T1^10*T2^16 - 
      16*T1^11*T2^16 + 17*T1^12*T2^16 - 16*T1^13*T2^16 + 11*T1^14*T2^16 - 
      5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 3] -> 
  {-((1 - 7*T + 17*T^2 - 23*T^3 + 17*T^4 - 7*T^5 + T^6)/T^3), 
   (2 - 4*T1 + 4*T1^2 + 4*T1^3 - 4*T1^4 + 2*T1^5 - 4*T2 - 18*T1*T2 + 
     61*T1^2*T2 - 114*T1^3*T2 + 61*T1^4*T2 - 18*T1^5*T2 - 4*T1^6*T2 + 
     4*T2^2 + 61*T1*T2^2 - 102*T1^2*T2^2 + 114*T1^3*T2^2 + 114*T1^4*T2^2 - 
     102*T1^5*T2^2 + 61*T1^6*T2^2 + 4*T1^7*T2^2 + 4*T2^3 - 114*T1*T2^3 + 
     114*T1^2*T2^3 - 150*T1^3*T2^3 - 116*T1^4*T2^3 - 150*T1^5*T2^3 + 
     114*T1^6*T2^3 - 114*T1^7*T2^3 + 4*T1^8*T2^3 - 4*T2^4 + 61*T1*T2^4 + 
     114*T1^2*T2^4 - 116*T1^3*T2^4 + 304*T1^4*T2^4 + 304*T1^5*T2^4 - 
     116*T1^6*T2^4 + 114*T1^7*T2^4 + 61*T1^8*T2^4 - 4*T1^9*T2^4 + 2*T2^5 - 
     18*T1*T2^5 - 102*T1^2*T2^5 - 150*T1^3*T2^5 + 304*T1^4*T2^5 - 
     936*T1^5*T2^5 + 304*T1^6*T2^5 - 150*T1^7*T2^5 - 102*T1^8*T2^5 - 
     18*T1^9*T2^5 + 2*T1^10*T2^5 - 4*T1*T2^6 + 61*T1^2*T2^6 + 114*T1^3*T2^6 - 
     116*T1^4*T2^6 + 304*T1^5*T2^6 + 304*T1^6*T2^6 - 116*T1^7*T2^6 + 
     114*T1^8*T2^6 + 61*T1^9*T2^6 - 4*T1^10*T2^6 + 4*T1^2*T2^7 - 
     114*T1^3*T2^7 + 114*T1^4*T2^7 - 150*T1^5*T2^7 - 116*T1^6*T2^7 - 
     150*T1^7*T2^7 + 114*T1^8*T2^7 - 114*T1^9*T2^7 + 4*T1^10*T2^7 + 
     4*T1^3*T2^8 + 61*T1^4*T2^8 - 102*T1^5*T2^8 + 114*T1^6*T2^8 + 
     114*T1^7*T2^8 - 102*T1^8*T2^8 + 61*T1^9*T2^8 + 4*T1^10*T2^8 - 
     4*T1^4*T2^9 - 18*T1^5*T2^9 + 61*T1^6*T2^9 - 114*T1^7*T2^9 + 
     61*T1^8*T2^9 - 18*T1^9*T2^9 - 4*T1^10*T2^9 + 2*T1^5*T2^10 - 
     4*T1^6*T2^10 + 4*T1^7*T2^10 + 4*T1^8*T2^10 - 4*T1^9*T2^10 + 
     2*T1^10*T2^10)/(T1^5*T2^5)}, Knot[12, NonAlternating, 4] -> 
  {-(((-1 + 3*T - 4*T^2 + T^3)*(-1 + 4*T - 3*T^2 + T^3))/T^3), 
   -((T1^2 + T1^3 - 7*T1^2*T2 - 8*T1^3*T2 - 7*T1^4*T2 + T2^2 - 7*T1*T2^2 + 
      32*T1^2*T2^2 + 26*T1^3*T2^2 + 26*T1^4*T2^2 + 32*T1^5*T2^2 - 
      7*T1^6*T2^2 + T1^7*T2^2 + T2^3 - 8*T1*T2^3 + 26*T1^2*T2^3 - 
      207*T1^3*T2^3 + 95*T1^4*T2^3 - 207*T1^5*T2^3 + 26*T1^6*T2^3 - 
      8*T1^7*T2^3 + T1^8*T2^3 - 7*T1*T2^4 + 26*T1^2*T2^4 + 95*T1^3*T2^4 + 
      130*T1^4*T2^4 + 130*T1^5*T2^4 + 95*T1^6*T2^4 + 26*T1^7*T2^4 - 
      7*T1^8*T2^4 + 32*T1^2*T2^5 - 207*T1^3*T2^5 + 130*T1^4*T2^5 - 
      492*T1^5*T2^5 + 130*T1^6*T2^5 - 207*T1^7*T2^5 + 32*T1^8*T2^5 - 
      7*T1^2*T2^6 + 26*T1^3*T2^6 + 95*T1^4*T2^6 + 130*T1^5*T2^6 + 
      130*T1^6*T2^6 + 95*T1^7*T2^6 + 26*T1^8*T2^6 - 7*T1^9*T2^6 + T1^2*T2^7 - 
      8*T1^3*T2^7 + 26*T1^4*T2^7 - 207*T1^5*T2^7 + 95*T1^6*T2^7 - 
      207*T1^7*T2^7 + 26*T1^8*T2^7 - 8*T1^9*T2^7 + T1^10*T2^7 + T1^3*T2^8 - 
      7*T1^4*T2^8 + 32*T1^5*T2^8 + 26*T1^6*T2^8 + 26*T1^7*T2^8 + 
      32*T1^8*T2^8 - 7*T1^9*T2^8 + T1^10*T2^8 - 7*T1^6*T2^9 - 8*T1^7*T2^9 - 
      7*T1^8*T2^9 + T1^7*T2^10 + T1^8*T2^10)/(T1^5*T2^5))}, 
 Knot[12, NonAlternating, 5] -> 
  {(1 - 7*T + 21*T^2 - 29*T^3 + 21*T^4 - 7*T^5 + T^6)/T^3, 
   -((1 - 7*T1 + 21*T1^2 - 29*T1^3 + 21*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 99*T1^2*T2 + 56*T1^3*T2 + 56*T1^4*T2 - 99*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 21*T2^2 - 99*T1*T2^2 + 135*T1^2*T2^2 + 
      264*T1^3*T2^2 - 521*T1^4*T2^2 + 264*T1^5*T2^2 + 135*T1^6*T2^2 - 
      99*T1^7*T2^2 + 21*T1^8*T2^2 - 29*T2^3 + 56*T1*T2^3 + 264*T1^2*T2^3 - 
      1350*T1^3*T2^3 + 798*T1^4*T2^3 + 798*T1^5*T2^3 - 1350*T1^6*T2^3 + 
      264*T1^7*T2^3 + 56*T1^8*T2^3 - 29*T1^9*T2^3 + 21*T2^4 + 56*T1*T2^4 - 
      521*T1^2*T2^4 + 798*T1^3*T2^4 + 3047*T1^4*T2^4 - 5399*T1^5*T2^4 + 
      3047*T1^6*T2^4 + 798*T1^7*T2^4 - 521*T1^8*T2^4 + 56*T1^9*T2^4 + 
      21*T1^10*T2^4 - 7*T2^5 - 99*T1*T2^5 + 264*T1^2*T2^5 + 798*T1^3*T2^5 - 
      5399*T1^4*T2^5 + 3204*T1^5*T2^5 + 3204*T1^6*T2^5 - 5399*T1^7*T2^5 + 
      798*T1^8*T2^5 + 264*T1^9*T2^5 - 99*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 + 135*T1^2*T2^6 - 1350*T1^3*T2^6 + 3047*T1^4*T2^6 + 
      3204*T1^5*T2^6 - 7176*T1^6*T2^6 + 3204*T1^7*T2^6 + 3047*T1^8*T2^6 - 
      1350*T1^9*T2^6 + 135*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 99*T1^2*T2^7 + 264*T1^3*T2^7 + 798*T1^4*T2^7 - 
      5399*T1^5*T2^7 + 3204*T1^6*T2^7 + 3204*T1^7*T2^7 - 5399*T1^8*T2^7 + 
      798*T1^9*T2^7 + 264*T1^10*T2^7 - 99*T1^11*T2^7 - 7*T1^12*T2^7 + 
      21*T1^2*T2^8 + 56*T1^3*T2^8 - 521*T1^4*T2^8 + 798*T1^5*T2^8 + 
      3047*T1^6*T2^8 - 5399*T1^7*T2^8 + 3047*T1^8*T2^8 + 798*T1^9*T2^8 - 
      521*T1^10*T2^8 + 56*T1^11*T2^8 + 21*T1^12*T2^8 - 29*T1^3*T2^9 + 
      56*T1^4*T2^9 + 264*T1^5*T2^9 - 1350*T1^6*T2^9 + 798*T1^7*T2^9 + 
      798*T1^8*T2^9 - 1350*T1^9*T2^9 + 264*T1^10*T2^9 + 56*T1^11*T2^9 - 
      29*T1^12*T2^9 + 21*T1^4*T2^10 - 99*T1^5*T2^10 + 135*T1^6*T2^10 + 
      264*T1^7*T2^10 - 521*T1^8*T2^10 + 264*T1^9*T2^10 + 135*T1^10*T2^10 - 
      99*T1^11*T2^10 + 21*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      99*T1^7*T2^11 + 56*T1^8*T2^11 + 56*T1^9*T2^11 - 99*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      21*T1^8*T2^12 - 29*T1^9*T2^12 + 21*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   (2 - 10*T1 + 18*T1^2 - 12*T1^3 + 6*T1^4 - 12*T1^5 + 18*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 40*T1^2*T2 - 30*T1^3*T2 + 30*T1^4*T2 + 
     30*T1^5*T2 - 30*T1^6*T2 - 40*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     18*T2^2 - 40*T1*T2^2 - 69*T1^2*T2^2 + 248*T1^3*T2^2 - 83*T1^4*T2^2 - 
     65*T1^5*T2^2 - 83*T1^6*T2^2 + 248*T1^7*T2^2 - 69*T1^8*T2^2 - 
     40*T1^9*T2^2 + 18*T1^10*T2^2 - 12*T2^3 - 30*T1*T2^3 + 248*T1^2*T2^3 - 
     288*T1^3*T2^3 - 240*T1^4*T2^3 + 229*T1^5*T2^3 + 229*T1^6*T2^3 - 
     240*T1^7*T2^3 - 288*T1^8*T2^3 + 248*T1^9*T2^3 - 30*T1^10*T2^3 - 
     12*T1^11*T2^3 + 6*T2^4 + 30*T1*T2^4 - 83*T1^2*T2^4 - 240*T1^3*T2^4 + 
     765*T1^4*T2^4 - 262*T1^5*T2^4 - 187*T1^6*T2^4 - 262*T1^7*T2^4 + 
     765*T1^8*T2^4 - 240*T1^9*T2^4 - 83*T1^10*T2^4 + 30*T1^11*T2^4 + 
     6*T1^12*T2^4 - 12*T2^5 + 30*T1*T2^5 - 65*T1^2*T2^5 + 229*T1^3*T2^5 - 
     262*T1^4*T2^5 - 272*T1^5*T2^5 + 254*T1^6*T2^5 + 254*T1^7*T2^5 - 
     272*T1^8*T2^5 - 262*T1^9*T2^5 + 229*T1^10*T2^5 - 65*T1^11*T2^5 + 
     30*T1^12*T2^5 - 12*T1^13*T2^5 + 18*T2^6 - 30*T1*T2^6 - 83*T1^2*T2^6 + 
     229*T1^3*T2^6 - 187*T1^4*T2^6 + 254*T1^5*T2^6 - 191*T1^6*T2^6 + 
     91*T1^7*T2^6 - 191*T1^8*T2^6 + 254*T1^9*T2^6 - 187*T1^10*T2^6 + 
     229*T1^11*T2^6 - 83*T1^12*T2^6 - 30*T1^13*T2^6 + 18*T1^14*T2^6 - 
     10*T2^7 - 40*T1*T2^7 + 248*T1^2*T2^7 - 240*T1^3*T2^7 - 262*T1^4*T2^7 + 
     254*T1^5*T2^7 + 91*T1^6*T2^7 - 80*T1^7*T2^7 - 80*T1^8*T2^7 + 
     91*T1^9*T2^7 + 254*T1^10*T2^7 - 262*T1^11*T2^7 - 240*T1^12*T2^7 + 
     248*T1^13*T2^7 - 40*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 - 
     69*T1^2*T2^8 - 288*T1^3*T2^8 + 765*T1^4*T2^8 - 272*T1^5*T2^8 - 
     191*T1^6*T2^8 - 80*T1^7*T2^8 + 264*T1^8*T2^8 - 80*T1^9*T2^8 - 
     191*T1^10*T2^8 - 272*T1^11*T2^8 + 765*T1^12*T2^8 - 288*T1^13*T2^8 - 
     69*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     40*T1^2*T2^9 + 248*T1^3*T2^9 - 240*T1^4*T2^9 - 262*T1^5*T2^9 + 
     254*T1^6*T2^9 + 91*T1^7*T2^9 - 80*T1^8*T2^9 - 80*T1^9*T2^9 + 
     91*T1^10*T2^9 + 254*T1^11*T2^9 - 262*T1^12*T2^9 - 240*T1^13*T2^9 + 
     248*T1^14*T2^9 - 40*T1^15*T2^9 - 10*T1^16*T2^9 + 18*T1^2*T2^10 - 
     30*T1^3*T2^10 - 83*T1^4*T2^10 + 229*T1^5*T2^10 - 187*T1^6*T2^10 + 
     254*T1^7*T2^10 - 191*T1^8*T2^10 + 91*T1^9*T2^10 - 191*T1^10*T2^10 + 
     254*T1^11*T2^10 - 187*T1^12*T2^10 + 229*T1^13*T2^10 - 83*T1^14*T2^10 - 
     30*T1^15*T2^10 + 18*T1^16*T2^10 - 12*T1^3*T2^11 + 30*T1^4*T2^11 - 
     65*T1^5*T2^11 + 229*T1^6*T2^11 - 262*T1^7*T2^11 - 272*T1^8*T2^11 + 
     254*T1^9*T2^11 + 254*T1^10*T2^11 - 272*T1^11*T2^11 - 262*T1^12*T2^11 + 
     229*T1^13*T2^11 - 65*T1^14*T2^11 + 30*T1^15*T2^11 - 12*T1^16*T2^11 + 
     6*T1^4*T2^12 + 30*T1^5*T2^12 - 83*T1^6*T2^12 - 240*T1^7*T2^12 + 
     765*T1^8*T2^12 - 262*T1^9*T2^12 - 187*T1^10*T2^12 - 262*T1^11*T2^12 + 
     765*T1^12*T2^12 - 240*T1^13*T2^12 - 83*T1^14*T2^12 + 30*T1^15*T2^12 + 
     6*T1^16*T2^12 - 12*T1^5*T2^13 - 30*T1^6*T2^13 + 248*T1^7*T2^13 - 
     288*T1^8*T2^13 - 240*T1^9*T2^13 + 229*T1^10*T2^13 + 229*T1^11*T2^13 - 
     240*T1^12*T2^13 - 288*T1^13*T2^13 + 248*T1^14*T2^13 - 30*T1^15*T2^13 - 
     12*T1^16*T2^13 + 18*T1^6*T2^14 - 40*T1^7*T2^14 - 69*T1^8*T2^14 + 
     248*T1^9*T2^14 - 83*T1^10*T2^14 - 65*T1^11*T2^14 - 83*T1^12*T2^14 + 
     248*T1^13*T2^14 - 69*T1^14*T2^14 - 40*T1^15*T2^14 + 18*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 40*T1^9*T2^15 - 30*T1^10*T2^15 + 
     30*T1^11*T2^15 + 30*T1^12*T2^15 - 30*T1^13*T2^15 - 40*T1^14*T2^15 + 
     40*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)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 7] -> 
  {(1 - 5*T + 9*T^2 - 9*T^3 + 9*T^4 - 5*T^5 + T^6)/T^3, 
   -((1 - 5*T1 + 9*T1^2 - 9*T1^3 + 9*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 20*T1*T2 - 
      21*T1^2*T2 + 2*T1^3*T2 + 2*T1^4*T2 - 21*T1^5*T2 + 20*T1^6*T2 - 
      5*T1^7*T2 + 9*T2^2 - 21*T1*T2^2 - 24*T1^2*T2^2 + 80*T1^3*T2^2 - 
      64*T1^4*T2^2 + 80*T1^5*T2^2 - 24*T1^6*T2^2 - 21*T1^7*T2^2 + 
      9*T1^8*T2^2 - 9*T2^3 + 2*T1*T2^3 + 80*T1^2*T2^3 - 100*T1^3*T2^3 + 
      12*T1^4*T2^3 + 12*T1^5*T2^3 - 100*T1^6*T2^3 + 80*T1^7*T2^3 + 
      2*T1^8*T2^3 - 9*T1^9*T2^3 + 9*T2^4 + 2*T1*T2^4 - 64*T1^2*T2^4 + 
      12*T1^3*T2^4 + 125*T1^4*T2^4 - 177*T1^5*T2^4 + 125*T1^6*T2^4 + 
      12*T1^7*T2^4 - 64*T1^8*T2^4 + 2*T1^9*T2^4 + 9*T1^10*T2^4 - 5*T2^5 - 
      21*T1*T2^5 + 80*T1^2*T2^5 + 12*T1^3*T2^5 - 177*T1^4*T2^5 + 
      156*T1^5*T2^5 + 156*T1^6*T2^5 - 177*T1^7*T2^5 + 12*T1^8*T2^5 + 
      80*T1^9*T2^5 - 21*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 20*T1*T2^6 - 
      24*T1^2*T2^6 - 100*T1^3*T2^6 + 125*T1^4*T2^6 + 156*T1^5*T2^6 - 
      492*T1^6*T2^6 + 156*T1^7*T2^6 + 125*T1^8*T2^6 - 100*T1^9*T2^6 - 
      24*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 21*T1^2*T2^7 + 
      80*T1^3*T2^7 + 12*T1^4*T2^7 - 177*T1^5*T2^7 + 156*T1^6*T2^7 + 
      156*T1^7*T2^7 - 177*T1^8*T2^7 + 12*T1^9*T2^7 + 80*T1^10*T2^7 - 
      21*T1^11*T2^7 - 5*T1^12*T2^7 + 9*T1^2*T2^8 + 2*T1^3*T2^8 - 
      64*T1^4*T2^8 + 12*T1^5*T2^8 + 125*T1^6*T2^8 - 177*T1^7*T2^8 + 
      125*T1^8*T2^8 + 12*T1^9*T2^8 - 64*T1^10*T2^8 + 2*T1^11*T2^8 + 
      9*T1^12*T2^8 - 9*T1^3*T2^9 + 2*T1^4*T2^9 + 80*T1^5*T2^9 - 
      100*T1^6*T2^9 + 12*T1^7*T2^9 + 12*T1^8*T2^9 - 100*T1^9*T2^9 + 
      80*T1^10*T2^9 + 2*T1^11*T2^9 - 9*T1^12*T2^9 + 9*T1^4*T2^10 - 
      21*T1^5*T2^10 - 24*T1^6*T2^10 + 80*T1^7*T2^10 - 64*T1^8*T2^10 + 
      80*T1^9*T2^10 - 24*T1^10*T2^10 - 21*T1^11*T2^10 + 9*T1^12*T2^10 - 
      5*T1^5*T2^11 + 20*T1^6*T2^11 - 21*T1^7*T2^11 + 2*T1^8*T2^11 + 
      2*T1^9*T2^11 - 21*T1^10*T2^11 + 20*T1^11*T2^11 - 5*T1^12*T2^11 + 
      T1^6*T2^12 - 5*T1^7*T2^12 + 9*T1^8*T2^12 - 9*T1^9*T2^12 + 
      9*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   (2 - 10*T1 + 18*T1^2 - 20*T1^3 + 22*T1^4 - 20*T1^5 + 18*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 40*T1^2*T2 + 10*T1^3*T2 - 10*T1^4*T2 - 
     10*T1^5*T2 + 10*T1^6*T2 - 40*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     18*T2^2 - 40*T1*T2^2 - 69*T1^2*T2^2 + 178*T1^3*T2^2 - 137*T1^4*T2^2 + 
     183*T1^5*T2^2 - 137*T1^6*T2^2 + 178*T1^7*T2^2 - 69*T1^8*T2^2 - 
     40*T1^9*T2^2 + 18*T1^10*T2^2 - 20*T2^3 + 10*T1*T2^3 + 178*T1^2*T2^3 - 
     184*T1^3*T2^3 - 26*T1^4*T2^3 - 55*T1^5*T2^3 - 55*T1^6*T2^3 - 
     26*T1^7*T2^3 - 184*T1^8*T2^3 + 178*T1^9*T2^3 + 10*T1^10*T2^3 - 
     20*T1^11*T2^3 + 22*T2^4 - 10*T1*T2^4 - 137*T1^2*T2^4 - 26*T1^3*T2^4 + 
     267*T1^4*T2^4 - 68*T1^5*T2^4 + 209*T1^6*T2^4 - 68*T1^7*T2^4 + 
     267*T1^8*T2^4 - 26*T1^9*T2^4 - 137*T1^10*T2^4 - 10*T1^11*T2^4 + 
     22*T1^12*T2^4 - 20*T2^5 - 10*T1*T2^5 + 183*T1^2*T2^5 - 55*T1^3*T2^5 - 
     68*T1^4*T2^5 - 150*T1^5*T2^5 - 68*T1^6*T2^5 - 68*T1^7*T2^5 - 
     150*T1^8*T2^5 - 68*T1^9*T2^5 - 55*T1^10*T2^5 + 183*T1^11*T2^5 - 
     10*T1^12*T2^5 - 20*T1^13*T2^5 + 18*T2^6 + 10*T1*T2^6 - 137*T1^2*T2^6 - 
     55*T1^3*T2^6 + 209*T1^4*T2^6 - 68*T1^5*T2^6 + 277*T1^6*T2^6 - 
     109*T1^7*T2^6 + 277*T1^8*T2^6 - 68*T1^9*T2^6 + 209*T1^10*T2^6 - 
     55*T1^11*T2^6 - 137*T1^12*T2^6 + 10*T1^13*T2^6 + 18*T1^14*T2^6 - 
     10*T2^7 - 40*T1*T2^7 + 178*T1^2*T2^7 - 26*T1^3*T2^7 - 68*T1^4*T2^7 - 
     68*T1^5*T2^7 - 109*T1^6*T2^7 - 50*T1^7*T2^7 - 50*T1^8*T2^7 - 
     109*T1^9*T2^7 - 68*T1^10*T2^7 - 68*T1^11*T2^7 - 26*T1^12*T2^7 + 
     178*T1^13*T2^7 - 40*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 - 
     69*T1^2*T2^8 - 184*T1^3*T2^8 + 267*T1^4*T2^8 - 150*T1^5*T2^8 + 
     277*T1^6*T2^8 - 50*T1^7*T2^8 + 108*T1^8*T2^8 - 50*T1^9*T2^8 + 
     277*T1^10*T2^8 - 150*T1^11*T2^8 + 267*T1^12*T2^8 - 184*T1^13*T2^8 - 
     69*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     40*T1^2*T2^9 + 178*T1^3*T2^9 - 26*T1^4*T2^9 - 68*T1^5*T2^9 - 
     68*T1^6*T2^9 - 109*T1^7*T2^9 - 50*T1^8*T2^9 - 50*T1^9*T2^9 - 
     109*T1^10*T2^9 - 68*T1^11*T2^9 - 68*T1^12*T2^9 - 26*T1^13*T2^9 + 
     178*T1^14*T2^9 - 40*T1^15*T2^9 - 10*T1^16*T2^9 + 18*T1^2*T2^10 + 
     10*T1^3*T2^10 - 137*T1^4*T2^10 - 55*T1^5*T2^10 + 209*T1^6*T2^10 - 
     68*T1^7*T2^10 + 277*T1^8*T2^10 - 109*T1^9*T2^10 + 277*T1^10*T2^10 - 
     68*T1^11*T2^10 + 209*T1^12*T2^10 - 55*T1^13*T2^10 - 137*T1^14*T2^10 + 
     10*T1^15*T2^10 + 18*T1^16*T2^10 - 20*T1^3*T2^11 - 10*T1^4*T2^11 + 
     183*T1^5*T2^11 - 55*T1^6*T2^11 - 68*T1^7*T2^11 - 150*T1^8*T2^11 - 
     68*T1^9*T2^11 - 68*T1^10*T2^11 - 150*T1^11*T2^11 - 68*T1^12*T2^11 - 
     55*T1^13*T2^11 + 183*T1^14*T2^11 - 10*T1^15*T2^11 - 20*T1^16*T2^11 + 
     22*T1^4*T2^12 - 10*T1^5*T2^12 - 137*T1^6*T2^12 - 26*T1^7*T2^12 + 
     267*T1^8*T2^12 - 68*T1^9*T2^12 + 209*T1^10*T2^12 - 68*T1^11*T2^12 + 
     267*T1^12*T2^12 - 26*T1^13*T2^12 - 137*T1^14*T2^12 - 10*T1^15*T2^12 + 
     22*T1^16*T2^12 - 20*T1^5*T2^13 + 10*T1^6*T2^13 + 178*T1^7*T2^13 - 
     184*T1^8*T2^13 - 26*T1^9*T2^13 - 55*T1^10*T2^13 - 55*T1^11*T2^13 - 
     26*T1^12*T2^13 - 184*T1^13*T2^13 + 178*T1^14*T2^13 + 10*T1^15*T2^13 - 
     20*T1^16*T2^13 + 18*T1^6*T2^14 - 40*T1^7*T2^14 - 69*T1^8*T2^14 + 
     178*T1^9*T2^14 - 137*T1^10*T2^14 + 183*T1^11*T2^14 - 137*T1^12*T2^14 + 
     178*T1^13*T2^14 - 69*T1^14*T2^14 - 40*T1^15*T2^14 + 18*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 40*T1^9*T2^15 + 10*T1^10*T2^15 - 
     10*T1^11*T2^15 - 10*T1^12*T2^15 + 10*T1^13*T2^15 - 40*T1^14*T2^15 + 
     40*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)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 9] -> 
  {(1 - 7*T + 17*T^2 - 21*T^3 + 17*T^4 - 7*T^5 + T^6)/T^3, 
   -((1 - 7*T1 + 17*T1^2 - 21*T1^3 + 17*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      44*T1*T2 - 74*T1^2*T2 + 28*T1^3*T2 + 28*T1^4*T2 - 74*T1^5*T2 + 
      44*T1^6*T2 - 7*T1^7*T2 + 17*T2^2 - 74*T1*T2^2 - 57*T1^2*T2^2 + 
      442*T1^3*T2^2 - 539*T1^4*T2^2 + 442*T1^5*T2^2 - 57*T1^6*T2^2 - 
      74*T1^7*T2^2 + 17*T1^8*T2^2 - 21*T2^3 + 28*T1*T2^3 + 442*T1^2*T2^3 - 
      962*T1^3*T2^3 + 313*T1^4*T2^3 + 313*T1^5*T2^3 - 962*T1^6*T2^3 + 
      442*T1^7*T2^3 + 28*T1^8*T2^3 - 21*T1^9*T2^3 + 17*T2^4 + 28*T1*T2^4 - 
      539*T1^2*T2^4 + 313*T1^3*T2^4 + 1519*T1^4*T2^4 - 1821*T1^5*T2^4 + 
      1519*T1^6*T2^4 + 313*T1^7*T2^4 - 539*T1^8*T2^4 + 28*T1^9*T2^4 + 
      17*T1^10*T2^4 - 7*T2^5 - 74*T1*T2^5 + 442*T1^2*T2^5 + 313*T1^3*T2^5 - 
      1821*T1^4*T2^5 + 504*T1^5*T2^5 + 504*T1^6*T2^5 - 1821*T1^7*T2^5 + 
      313*T1^8*T2^5 + 442*T1^9*T2^5 - 74*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      44*T1*T2^6 - 57*T1^2*T2^6 - 962*T1^3*T2^6 + 1519*T1^4*T2^6 + 
      504*T1^5*T2^6 - 636*T1^6*T2^6 + 504*T1^7*T2^6 + 1519*T1^8*T2^6 - 
      962*T1^9*T2^6 - 57*T1^10*T2^6 + 44*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 74*T1^2*T2^7 + 442*T1^3*T2^7 + 313*T1^4*T2^7 - 
      1821*T1^5*T2^7 + 504*T1^6*T2^7 + 504*T1^7*T2^7 - 1821*T1^8*T2^7 + 
      313*T1^9*T2^7 + 442*T1^10*T2^7 - 74*T1^11*T2^7 - 7*T1^12*T2^7 + 
      17*T1^2*T2^8 + 28*T1^3*T2^8 - 539*T1^4*T2^8 + 313*T1^5*T2^8 + 
      1519*T1^6*T2^8 - 1821*T1^7*T2^8 + 1519*T1^8*T2^8 + 313*T1^9*T2^8 - 
      539*T1^10*T2^8 + 28*T1^11*T2^8 + 17*T1^12*T2^8 - 21*T1^3*T2^9 + 
      28*T1^4*T2^9 + 442*T1^5*T2^9 - 962*T1^6*T2^9 + 313*T1^7*T2^9 + 
      313*T1^8*T2^9 - 962*T1^9*T2^9 + 442*T1^10*T2^9 + 28*T1^11*T2^9 - 
      21*T1^12*T2^9 + 17*T1^4*T2^10 - 74*T1^5*T2^10 - 57*T1^6*T2^10 + 
      442*T1^7*T2^10 - 539*T1^8*T2^10 + 442*T1^9*T2^10 - 57*T1^10*T2^10 - 
      74*T1^11*T2^10 + 17*T1^12*T2^10 - 7*T1^5*T2^11 + 44*T1^6*T2^11 - 
      74*T1^7*T2^11 + 28*T1^8*T2^11 + 28*T1^9*T2^11 - 74*T1^10*T2^11 + 
      44*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      17*T1^8*T2^12 - 21*T1^9*T2^12 + 17*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 10] -> 
  {(1 - 5*T + 9*T^2 - 9*T^3 + 9*T^4 - 5*T^5 + T^6)/T^3, 
   -((1 - 5*T1 + 9*T1^2 - 9*T1^3 + 9*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 20*T1*T2 - 
      20*T1^2*T2 - 20*T1^5*T2 + 20*T1^6*T2 - 5*T1^7*T2 + 9*T2^2 - 
      20*T1*T2^2 - 38*T1^2*T2^2 + 112*T1^3*T2^2 - 86*T1^4*T2^2 + 
      112*T1^5*T2^2 - 38*T1^6*T2^2 - 20*T1^7*T2^2 + 9*T1^8*T2^2 - 9*T2^3 + 
      112*T1^2*T2^3 - 154*T1^3*T2^3 + 13*T1^4*T2^3 + 13*T1^5*T2^3 - 
      154*T1^6*T2^3 + 112*T1^7*T2^3 - 9*T1^9*T2^3 + 9*T2^4 - 86*T1^2*T2^4 + 
      13*T1^3*T2^4 + 247*T1^4*T2^4 - 311*T1^5*T2^4 + 247*T1^6*T2^4 + 
      13*T1^7*T2^4 - 86*T1^8*T2^4 + 9*T1^10*T2^4 - 5*T2^5 - 20*T1*T2^5 + 
      112*T1^2*T2^5 + 13*T1^3*T2^5 - 311*T1^4*T2^5 + 228*T1^5*T2^5 + 
      228*T1^6*T2^5 - 311*T1^7*T2^5 + 13*T1^8*T2^5 + 112*T1^9*T2^5 - 
      20*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 20*T1*T2^6 - 38*T1^2*T2^6 - 
      154*T1^3*T2^6 + 247*T1^4*T2^6 + 228*T1^5*T2^6 - 696*T1^6*T2^6 + 
      228*T1^7*T2^6 + 247*T1^8*T2^6 - 154*T1^9*T2^6 - 38*T1^10*T2^6 + 
      20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 20*T1^2*T2^7 + 112*T1^3*T2^7 + 
      13*T1^4*T2^7 - 311*T1^5*T2^7 + 228*T1^6*T2^7 + 228*T1^7*T2^7 - 
      311*T1^8*T2^7 + 13*T1^9*T2^7 + 112*T1^10*T2^7 - 20*T1^11*T2^7 - 
      5*T1^12*T2^7 + 9*T1^2*T2^8 - 86*T1^4*T2^8 + 13*T1^5*T2^8 + 
      247*T1^6*T2^8 - 311*T1^7*T2^8 + 247*T1^8*T2^8 + 13*T1^9*T2^8 - 
      86*T1^10*T2^8 + 9*T1^12*T2^8 - 9*T1^3*T2^9 + 112*T1^5*T2^9 - 
      154*T1^6*T2^9 + 13*T1^7*T2^9 + 13*T1^8*T2^9 - 154*T1^9*T2^9 + 
      112*T1^10*T2^9 - 9*T1^12*T2^9 + 9*T1^4*T2^10 - 20*T1^5*T2^10 - 
      38*T1^6*T2^10 + 112*T1^7*T2^10 - 86*T1^8*T2^10 + 112*T1^9*T2^10 - 
      38*T1^10*T2^10 - 20*T1^11*T2^10 + 9*T1^12*T2^10 - 5*T1^5*T2^11 + 
      20*T1^6*T2^11 - 20*T1^7*T2^11 - 20*T1^10*T2^11 + 20*T1^11*T2^11 - 
      5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 9*T1^8*T2^12 - 
      9*T1^9*T2^12 + 9*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, NonAlternating, 11] -> 
  {(3 - 15*T + 25*T^2 - 15*T^3 + 3*T^4)/T^2, 
   (3 - 15*T1 + 25*T1^2 - 15*T1^3 + 3*T1^4 - 15*T2 + 64*T1*T2 - 57*T1^2*T2 - 
     57*T1^3*T2 + 64*T1^4*T2 - 15*T1^5*T2 + 25*T2^2 - 57*T1*T2^2 - 
     172*T1^2*T2^2 + 496*T1^3*T2^2 - 172*T1^4*T2^2 - 57*T1^5*T2^2 + 
     25*T1^6*T2^2 - 15*T2^3 - 57*T1*T2^3 + 496*T1^2*T2^3 - 538*T1^3*T2^3 - 
     538*T1^4*T2^3 + 496*T1^5*T2^3 - 57*T1^6*T2^3 - 15*T1^7*T2^3 + 3*T2^4 + 
     64*T1*T2^4 - 172*T1^2*T2^4 - 538*T1^3*T2^4 + 1596*T1^4*T2^4 - 
     538*T1^5*T2^4 - 172*T1^6*T2^4 + 64*T1^7*T2^4 + 3*T1^8*T2^4 - 
     15*T1*T2^5 - 57*T1^2*T2^5 + 496*T1^3*T2^5 - 538*T1^4*T2^5 - 
     538*T1^5*T2^5 + 496*T1^6*T2^5 - 57*T1^7*T2^5 - 15*T1^8*T2^5 + 
     25*T1^2*T2^6 - 57*T1^3*T2^6 - 172*T1^4*T2^6 + 496*T1^5*T2^6 - 
     172*T1^6*T2^6 - 57*T1^7*T2^6 + 25*T1^8*T2^6 - 15*T1^3*T2^7 + 
     64*T1^4*T2^7 - 57*T1^5*T2^7 - 57*T1^6*T2^7 + 64*T1^7*T2^7 - 
     15*T1^8*T2^7 + 3*T1^4*T2^8 - 15*T1^5*T2^8 + 25*T1^6*T2^8 - 
     15*T1^7*T2^8 + 3*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 12] -> 
  {(2 - 10*T + 18*T^2 - 19*T^3 + 18*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (9 - 45*T1 + 80*T1^2 - 83*T1^3 + 80*T1^4 - 45*T1^5 + 9*T1^6 - 45*T2 + 
     180*T1*T2 - 175*T1^2*T2 + 15*T1^3*T2 + 15*T1^4*T2 - 175*T1^5*T2 + 
     180*T1^6*T2 - 45*T1^7*T2 + 80*T2^2 - 175*T1*T2^2 - 327*T1^2*T2^2 + 
     853*T1^3*T2^2 - 657*T1^4*T2^2 + 853*T1^5*T2^2 - 327*T1^6*T2^2 - 
     175*T1^7*T2^2 + 80*T1^8*T2^2 - 83*T2^3 + 15*T1*T2^3 + 853*T1^2*T2^3 - 
     932*T1^3*T2^3 - 84*T1^4*T2^3 - 84*T1^5*T2^3 - 932*T1^6*T2^3 + 
     853*T1^7*T2^3 + 15*T1^8*T2^3 - 83*T1^9*T2^3 + 80*T2^4 + 15*T1*T2^4 - 
     657*T1^2*T2^4 - 84*T1^3*T2^4 + 1463*T1^4*T2^4 - 961*T1^5*T2^4 + 
     1463*T1^6*T2^4 - 84*T1^7*T2^4 - 657*T1^8*T2^4 + 15*T1^9*T2^4 + 
     80*T1^10*T2^4 - 45*T2^5 - 175*T1*T2^5 + 853*T1^2*T2^5 - 84*T1^3*T2^5 - 
     961*T1^4*T2^5 + 36*T1^5*T2^5 + 36*T1^6*T2^5 - 961*T1^7*T2^5 - 
     84*T1^8*T2^5 + 853*T1^9*T2^5 - 175*T1^10*T2^5 - 45*T1^11*T2^5 + 9*T2^6 + 
     180*T1*T2^6 - 327*T1^2*T2^6 - 932*T1^3*T2^6 + 1463*T1^4*T2^6 + 
     36*T1^5*T2^6 - 96*T1^6*T2^6 + 36*T1^7*T2^6 + 1463*T1^8*T2^6 - 
     932*T1^9*T2^6 - 327*T1^10*T2^6 + 180*T1^11*T2^6 + 9*T1^12*T2^6 - 
     45*T1*T2^7 - 175*T1^2*T2^7 + 853*T1^3*T2^7 - 84*T1^4*T2^7 - 
     961*T1^5*T2^7 + 36*T1^6*T2^7 + 36*T1^7*T2^7 - 961*T1^8*T2^7 - 
     84*T1^9*T2^7 + 853*T1^10*T2^7 - 175*T1^11*T2^7 - 45*T1^12*T2^7 + 
     80*T1^2*T2^8 + 15*T1^3*T2^8 - 657*T1^4*T2^8 - 84*T1^5*T2^8 + 
     1463*T1^6*T2^8 - 961*T1^7*T2^8 + 1463*T1^8*T2^8 - 84*T1^9*T2^8 - 
     657*T1^10*T2^8 + 15*T1^11*T2^8 + 80*T1^12*T2^8 - 83*T1^3*T2^9 + 
     15*T1^4*T2^9 + 853*T1^5*T2^9 - 932*T1^6*T2^9 - 84*T1^7*T2^9 - 
     84*T1^8*T2^9 - 932*T1^9*T2^9 + 853*T1^10*T2^9 + 15*T1^11*T2^9 - 
     83*T1^12*T2^9 + 80*T1^4*T2^10 - 175*T1^5*T2^10 - 327*T1^6*T2^10 + 
     853*T1^7*T2^10 - 657*T1^8*T2^10 + 853*T1^9*T2^10 - 327*T1^10*T2^10 - 
     175*T1^11*T2^10 + 80*T1^12*T2^10 - 45*T1^5*T2^11 + 180*T1^6*T2^11 - 
     175*T1^7*T2^11 + 15*T1^8*T2^11 + 15*T1^9*T2^11 - 175*T1^10*T2^11 + 
     180*T1^11*T2^11 - 45*T1^12*T2^11 + 9*T1^6*T2^12 - 45*T1^7*T2^12 + 
     80*T1^8*T2^12 - 83*T1^9*T2^12 + 80*T1^10*T2^12 - 45*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 13] -> 
  {(1 - 7*T + 13*T^2 - 7*T^3 + T^4)/T^2, 
   -((8 - 13*T1 - 13*T1^2 + 8*T1^3 - 13*T2 - 64*T1*T2 + 230*T1^2*T2 - 
      64*T1^3*T2 - 13*T1^4*T2 - 13*T2^2 + 230*T1*T2^2 - 328*T1^2*T2^2 - 
      328*T1^3*T2^2 + 230*T1^4*T2^2 - 13*T1^5*T2^2 + 8*T2^3 - 64*T1*T2^3 - 
      328*T1^2*T2^3 + 1080*T1^3*T2^3 - 328*T1^4*T2^3 - 64*T1^5*T2^3 + 
      8*T1^6*T2^3 - 13*T1*T2^4 + 230*T1^2*T2^4 - 328*T1^3*T2^4 - 
      328*T1^4*T2^4 + 230*T1^5*T2^4 - 13*T1^6*T2^4 - 13*T1^2*T2^5 - 
      64*T1^3*T2^5 + 230*T1^4*T2^5 - 64*T1^5*T2^5 - 13*T1^6*T2^5 + 
      8*T1^3*T2^6 - 13*T1^4*T2^6 - 13*T1^5*T2^6 + 8*T1^6*T2^6)/(T1^3*T2^3))}, 
 Knot[12, NonAlternating, 14] -> 
  {-((1 - 7*T + 21*T^2 - 31*T^3 + 21*T^4 - 7*T^5 + T^6)/T^3), 
   (2*T1 - 3*T1^2 - 3*T1^3 + 2*T1^4 + 2*T2 - 28*T1*T2 + 53*T1^2*T2 - 
     30*T1^3*T2 + 53*T1^4*T2 - 28*T1^5*T2 + 2*T1^6*T2 - 3*T2^2 + 53*T1*T2^2 - 
     40*T1^2*T2^2 - 70*T1^3*T2^2 - 70*T1^4*T2^2 - 40*T1^5*T2^2 + 
     53*T1^6*T2^2 - 3*T1^7*T2^2 - 3*T2^3 - 30*T1*T2^3 - 70*T1^2*T2^3 + 
     124*T1^3*T2^3 + 292*T1^4*T2^3 + 124*T1^5*T2^3 - 70*T1^6*T2^3 - 
     30*T1^7*T2^3 - 3*T1^8*T2^3 + 2*T2^4 + 53*T1*T2^4 - 70*T1^2*T2^4 + 
     292*T1^3*T2^4 - 572*T1^4*T2^4 - 572*T1^5*T2^4 + 292*T1^6*T2^4 - 
     70*T1^7*T2^4 + 53*T1^8*T2^4 + 2*T1^9*T2^4 - 28*T1*T2^5 - 40*T1^2*T2^5 + 
     124*T1^3*T2^5 - 572*T1^4*T2^5 + 1740*T1^5*T2^5 - 572*T1^6*T2^5 + 
     124*T1^7*T2^5 - 40*T1^8*T2^5 - 28*T1^9*T2^5 + 2*T1*T2^6 + 53*T1^2*T2^6 - 
     70*T1^3*T2^6 + 292*T1^4*T2^6 - 572*T1^5*T2^6 - 572*T1^6*T2^6 + 
     292*T1^7*T2^6 - 70*T1^8*T2^6 + 53*T1^9*T2^6 + 2*T1^10*T2^6 - 
     3*T1^2*T2^7 - 30*T1^3*T2^7 - 70*T1^4*T2^7 + 124*T1^5*T2^7 + 
     292*T1^6*T2^7 + 124*T1^7*T2^7 - 70*T1^8*T2^7 - 30*T1^9*T2^7 - 
     3*T1^10*T2^7 - 3*T1^3*T2^8 + 53*T1^4*T2^8 - 40*T1^5*T2^8 - 
     70*T1^6*T2^8 - 70*T1^7*T2^8 - 40*T1^8*T2^8 + 53*T1^9*T2^8 - 
     3*T1^10*T2^8 + 2*T1^4*T2^9 - 28*T1^5*T2^9 + 53*T1^6*T2^9 - 
     30*T1^7*T2^9 + 53*T1^8*T2^9 - 28*T1^9*T2^9 + 2*T1^10*T2^9 + 
     2*T1^6*T2^10 - 3*T1^7*T2^10 - 3*T1^8*T2^10 + 2*T1^9*T2^10)/(T1^5*T2^5)}, 
 Knot[12, NonAlternating, 15] -> 
  {(1 - 9*T + 27*T^2 - 37*T^3 + 27*T^4 - 9*T^5 + T^6)/T^3, 
   -((1 - 9*T1 + 27*T1^2 - 37*T1^3 + 27*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
      74*T1*T2 - 166*T1^2*T2 + 90*T1^3*T2 + 90*T1^4*T2 - 166*T1^5*T2 + 
      74*T1^6*T2 - 9*T1^7*T2 + 27*T2^2 - 166*T1*T2^2 + 1058*T1^3*T2^2 - 
      1662*T1^4*T2^2 + 1058*T1^5*T2^2 - 166*T1^7*T2^2 + 27*T1^8*T2^2 - 
      37*T2^3 + 90*T1*T2^3 + 1058*T1^2*T2^3 - 3312*T1^3*T2^3 + 
      1833*T1^4*T2^3 + 1833*T1^5*T2^3 - 3312*T1^6*T2^3 + 1058*T1^7*T2^3 + 
      90*T1^8*T2^3 - 37*T1^9*T2^3 + 27*T2^4 + 90*T1*T2^4 - 1662*T1^2*T2^4 + 
      1833*T1^3*T2^4 + 5706*T1^4*T2^4 - 10116*T1^5*T2^4 + 5706*T1^6*T2^4 + 
      1833*T1^7*T2^4 - 1662*T1^8*T2^4 + 90*T1^9*T2^4 + 27*T1^10*T2^4 - 
      9*T2^5 - 166*T1*T2^5 + 1058*T1^2*T2^5 + 1833*T1^3*T2^5 - 
      10116*T1^4*T2^5 + 5818*T1^5*T2^5 + 5818*T1^6*T2^5 - 10116*T1^7*T2^5 + 
      1833*T1^8*T2^5 + 1058*T1^9*T2^5 - 166*T1^10*T2^5 - 9*T1^11*T2^5 + 
      T2^6 + 74*T1*T2^6 - 3312*T1^3*T2^6 + 5706*T1^4*T2^6 + 5818*T1^5*T2^6 - 
      12828*T1^6*T2^6 + 5818*T1^7*T2^6 + 5706*T1^8*T2^6 - 3312*T1^9*T2^6 + 
      74*T1^11*T2^6 + T1^12*T2^6 - 9*T1*T2^7 - 166*T1^2*T2^7 + 
      1058*T1^3*T2^7 + 1833*T1^4*T2^7 - 10116*T1^5*T2^7 + 5818*T1^6*T2^7 + 
      5818*T1^7*T2^7 - 10116*T1^8*T2^7 + 1833*T1^9*T2^7 + 1058*T1^10*T2^7 - 
      166*T1^11*T2^7 - 9*T1^12*T2^7 + 27*T1^2*T2^8 + 90*T1^3*T2^8 - 
      1662*T1^4*T2^8 + 1833*T1^5*T2^8 + 5706*T1^6*T2^8 - 10116*T1^7*T2^8 + 
      5706*T1^8*T2^8 + 1833*T1^9*T2^8 - 1662*T1^10*T2^8 + 90*T1^11*T2^8 + 
      27*T1^12*T2^8 - 37*T1^3*T2^9 + 90*T1^4*T2^9 + 1058*T1^5*T2^9 - 
      3312*T1^6*T2^9 + 1833*T1^7*T2^9 + 1833*T1^8*T2^9 - 3312*T1^9*T2^9 + 
      1058*T1^10*T2^9 + 90*T1^11*T2^9 - 37*T1^12*T2^9 + 27*T1^4*T2^10 - 
      166*T1^5*T2^10 + 1058*T1^7*T2^10 - 1662*T1^8*T2^10 + 1058*T1^9*T2^10 - 
      166*T1^11*T2^10 + 27*T1^12*T2^10 - 9*T1^5*T2^11 + 74*T1^6*T2^11 - 
      166*T1^7*T2^11 + 90*T1^8*T2^11 + 90*T1^9*T2^11 - 166*T1^10*T2^11 + 
      74*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 
      27*T1^8*T2^12 - 37*T1^9*T2^12 + 27*T1^10*T2^12 - 9*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 16] -> 
  {(1 - 5*T + 7*T^2 - 5*T^4 + 7*T^6 - 5*T^7 + T^8)/T^4, 
   (2 - 10*T1 + 14*T1^2 - 10*T1^4 + 14*T1^6 - 10*T1^7 + 2*T1^8 - 10*T2 + 
     40*T1*T2 - 20*T1^2*T2 - 70*T1^3*T2 + 50*T1^4*T2 + 50*T1^5*T2 - 
     70*T1^6*T2 - 20*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 14*T2^2 - 
     20*T1*T2^2 - 135*T1^2*T2^2 + 270*T1^3*T2^2 + 36*T1^4*T2^2 - 
     253*T1^5*T2^2 + 36*T1^6*T2^2 + 270*T1^7*T2^2 - 135*T1^8*T2^2 - 
     20*T1^9*T2^2 + 14*T1^10*T2^2 - 70*T1*T2^3 + 270*T1^2*T2^3 - 
     116*T1^3*T2^3 - 484*T1^4*T2^3 + 332*T1^5*T2^3 + 332*T1^6*T2^3 - 
     484*T1^7*T2^3 - 116*T1^8*T2^3 + 270*T1^9*T2^3 - 70*T1^10*T2^3 - 
     10*T2^4 + 50*T1*T2^4 + 36*T1^2*T2^4 - 484*T1^3*T2^4 + 638*T1^4*T2^4 + 
     120*T1^5*T2^4 - 622*T1^6*T2^4 + 120*T1^7*T2^4 + 638*T1^8*T2^4 - 
     484*T1^9*T2^4 + 36*T1^10*T2^4 + 50*T1^11*T2^4 - 10*T1^12*T2^4 + 
     50*T1*T2^5 - 253*T1^2*T2^5 + 332*T1^3*T2^5 + 120*T1^4*T2^5 - 
     506*T1^5*T2^5 + 303*T1^6*T2^5 + 303*T1^7*T2^5 - 506*T1^8*T2^5 + 
     120*T1^9*T2^5 + 332*T1^10*T2^5 - 253*T1^11*T2^5 + 50*T1^12*T2^5 + 
     14*T2^6 - 70*T1*T2^6 + 36*T1^2*T2^6 + 332*T1^3*T2^6 - 622*T1^4*T2^6 + 
     303*T1^5*T2^6 + 120*T1^6*T2^6 - 388*T1^7*T2^6 + 120*T1^8*T2^6 + 
     303*T1^9*T2^6 - 622*T1^10*T2^6 + 332*T1^11*T2^6 + 36*T1^12*T2^6 - 
     70*T1^13*T2^6 + 14*T1^14*T2^6 - 10*T2^7 - 20*T1*T2^7 + 270*T1^2*T2^7 - 
     484*T1^3*T2^7 + 120*T1^4*T2^7 + 303*T1^5*T2^7 - 388*T1^6*T2^7 + 
     234*T1^7*T2^7 + 234*T1^8*T2^7 - 388*T1^9*T2^7 + 303*T1^10*T2^7 + 
     120*T1^11*T2^7 - 484*T1^12*T2^7 + 270*T1^13*T2^7 - 20*T1^14*T2^7 - 
     10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 - 135*T1^2*T2^8 - 116*T1^3*T2^8 + 
     638*T1^4*T2^8 - 506*T1^5*T2^8 + 120*T1^6*T2^8 + 234*T1^7*T2^8 - 
     516*T1^8*T2^8 + 234*T1^9*T2^8 + 120*T1^10*T2^8 - 506*T1^11*T2^8 + 
     638*T1^12*T2^8 - 116*T1^13*T2^8 - 135*T1^14*T2^8 + 40*T1^15*T2^8 + 
     2*T1^16*T2^8 - 10*T1*T2^9 - 20*T1^2*T2^9 + 270*T1^3*T2^9 - 
     484*T1^4*T2^9 + 120*T1^5*T2^9 + 303*T1^6*T2^9 - 388*T1^7*T2^9 + 
     234*T1^8*T2^9 + 234*T1^9*T2^9 - 388*T1^10*T2^9 + 303*T1^11*T2^9 + 
     120*T1^12*T2^9 - 484*T1^13*T2^9 + 270*T1^14*T2^9 - 20*T1^15*T2^9 - 
     10*T1^16*T2^9 + 14*T1^2*T2^10 - 70*T1^3*T2^10 + 36*T1^4*T2^10 + 
     332*T1^5*T2^10 - 622*T1^6*T2^10 + 303*T1^7*T2^10 + 120*T1^8*T2^10 - 
     388*T1^9*T2^10 + 120*T1^10*T2^10 + 303*T1^11*T2^10 - 622*T1^12*T2^10 + 
     332*T1^13*T2^10 + 36*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 + 120*T1^7*T2^11 - 
     506*T1^8*T2^11 + 303*T1^9*T2^11 + 303*T1^10*T2^11 - 506*T1^11*T2^11 + 
     120*T1^12*T2^11 + 332*T1^13*T2^11 - 253*T1^14*T2^11 + 50*T1^15*T2^11 - 
     10*T1^4*T2^12 + 50*T1^5*T2^12 + 36*T1^6*T2^12 - 484*T1^7*T2^12 + 
     638*T1^8*T2^12 + 120*T1^9*T2^12 - 622*T1^10*T2^12 + 120*T1^11*T2^12 + 
     638*T1^12*T2^12 - 484*T1^13*T2^12 + 36*T1^14*T2^12 + 50*T1^15*T2^12 - 
     10*T1^16*T2^12 - 70*T1^6*T2^13 + 270*T1^7*T2^13 - 116*T1^8*T2^13 - 
     484*T1^9*T2^13 + 332*T1^10*T2^13 + 332*T1^11*T2^13 - 484*T1^12*T2^13 - 
     116*T1^13*T2^13 + 270*T1^14*T2^13 - 70*T1^15*T2^13 + 14*T1^6*T2^14 - 
     20*T1^7*T2^14 - 135*T1^8*T2^14 + 270*T1^9*T2^14 + 36*T1^10*T2^14 - 
     253*T1^11*T2^14 + 36*T1^12*T2^14 + 270*T1^13*T2^14 - 135*T1^14*T2^14 - 
     20*T1^15*T2^14 + 14*T1^16*T2^14 - 10*T1^7*T2^15 + 40*T1^8*T2^15 - 
     20*T1^9*T2^15 - 70*T1^10*T2^15 + 50*T1^11*T2^15 + 50*T1^12*T2^15 - 
     70*T1^13*T2^15 - 20*T1^14*T2^15 + 40*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)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 17] -> 
  {(1 - 8*T + 22*T^2 - 29*T^3 + 22*T^4 - 8*T^5 + T^6)/T^3, 
   -((1 - 8*T1 + 22*T1^2 - 29*T1^3 + 22*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
      56*T1*T2 - 112*T1^2*T2 + 56*T1^3*T2 + 56*T1^4*T2 - 112*T1^5*T2 + 
      56*T1^6*T2 - 8*T1^7*T2 + 22*T2^2 - 112*T1*T2^2 + 8*T1^2*T2^2 + 
      541*T1^3*T2^2 - 816*T1^4*T2^2 + 541*T1^5*T2^2 + 8*T1^6*T2^2 - 
      112*T1^7*T2^2 + 22*T1^8*T2^2 - 29*T2^3 + 56*T1*T2^3 + 541*T1^2*T2^3 - 
      1512*T1^3*T2^3 + 769*T1^4*T2^3 + 769*T1^5*T2^3 - 1512*T1^6*T2^3 + 
      541*T1^7*T2^3 + 56*T1^8*T2^3 - 29*T1^9*T2^3 + 22*T2^4 + 56*T1*T2^4 - 
      816*T1^2*T2^4 + 769*T1^3*T2^4 + 2283*T1^4*T2^4 - 3885*T1^5*T2^4 + 
      2283*T1^6*T2^4 + 769*T1^7*T2^4 - 816*T1^8*T2^4 + 56*T1^9*T2^4 + 
      22*T1^10*T2^4 - 8*T2^5 - 112*T1*T2^5 + 541*T1^2*T2^5 + 769*T1^3*T2^5 - 
      3885*T1^4*T2^5 + 2150*T1^5*T2^5 + 2150*T1^6*T2^5 - 3885*T1^7*T2^5 + 
      769*T1^8*T2^5 + 541*T1^9*T2^5 - 112*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
      56*T1*T2^6 + 8*T1^2*T2^6 - 1512*T1^3*T2^6 + 2283*T1^4*T2^6 + 
      2150*T1^5*T2^6 - 4752*T1^6*T2^6 + 2150*T1^7*T2^6 + 2283*T1^8*T2^6 - 
      1512*T1^9*T2^6 + 8*T1^10*T2^6 + 56*T1^11*T2^6 + T1^12*T2^6 - 
      8*T1*T2^7 - 112*T1^2*T2^7 + 541*T1^3*T2^7 + 769*T1^4*T2^7 - 
      3885*T1^5*T2^7 + 2150*T1^6*T2^7 + 2150*T1^7*T2^7 - 3885*T1^8*T2^7 + 
      769*T1^9*T2^7 + 541*T1^10*T2^7 - 112*T1^11*T2^7 - 8*T1^12*T2^7 + 
      22*T1^2*T2^8 + 56*T1^3*T2^8 - 816*T1^4*T2^8 + 769*T1^5*T2^8 + 
      2283*T1^6*T2^8 - 3885*T1^7*T2^8 + 2283*T1^8*T2^8 + 769*T1^9*T2^8 - 
      816*T1^10*T2^8 + 56*T1^11*T2^8 + 22*T1^12*T2^8 - 29*T1^3*T2^9 + 
      56*T1^4*T2^9 + 541*T1^5*T2^9 - 1512*T1^6*T2^9 + 769*T1^7*T2^9 + 
      769*T1^8*T2^9 - 1512*T1^9*T2^9 + 541*T1^10*T2^9 + 56*T1^11*T2^9 - 
      29*T1^12*T2^9 + 22*T1^4*T2^10 - 112*T1^5*T2^10 + 8*T1^6*T2^10 + 
      541*T1^7*T2^10 - 816*T1^8*T2^10 + 541*T1^9*T2^10 + 8*T1^10*T2^10 - 
      112*T1^11*T2^10 + 22*T1^12*T2^10 - 8*T1^5*T2^11 + 56*T1^6*T2^11 - 
      112*T1^7*T2^11 + 56*T1^8*T2^11 + 56*T1^9*T2^11 - 112*T1^10*T2^11 + 
      56*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
      22*T1^8*T2^12 - 29*T1^9*T2^12 + 22*T1^10*T2^12 - 8*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 18] -> 
  {-((1 - 8*T + 26*T^2 - 39*T^3 + 26*T^4 - 8*T^5 + T^6)/T^3), 
   (2 + 3*T1 - 16*T1^2 + 3*T1^3 + 2*T1^4 + 3*T2 - 74*T1*T2 + 102*T1^2*T2 + 
     102*T1^3*T2 - 74*T1^4*T2 + 3*T1^5*T2 - 16*T2^2 + 102*T1*T2^2 + 
     289*T1^2*T2^2 - 1013*T1^3*T2^2 + 289*T1^4*T2^2 + 102*T1^5*T2^2 - 
     16*T1^6*T2^2 + 3*T2^3 + 102*T1*T2^3 - 1013*T1^2*T2^3 + 1204*T1^3*T2^3 + 
     1204*T1^4*T2^3 - 1013*T1^5*T2^3 + 102*T1^6*T2^3 + 3*T1^7*T2^3 + 2*T2^4 - 
     74*T1*T2^4 + 289*T1^2*T2^4 + 1204*T1^3*T2^4 - 3612*T1^4*T2^4 + 
     1204*T1^5*T2^4 + 289*T1^6*T2^4 - 74*T1^7*T2^4 + 2*T1^8*T2^4 + 
     3*T1*T2^5 + 102*T1^2*T2^5 - 1013*T1^3*T2^5 + 1204*T1^4*T2^5 + 
     1204*T1^5*T2^5 - 1013*T1^6*T2^5 + 102*T1^7*T2^5 + 3*T1^8*T2^5 - 
     16*T1^2*T2^6 + 102*T1^3*T2^6 + 289*T1^4*T2^6 - 1013*T1^5*T2^6 + 
     289*T1^6*T2^6 + 102*T1^7*T2^6 - 16*T1^8*T2^6 + 3*T1^3*T2^7 - 
     74*T1^4*T2^7 + 102*T1^5*T2^7 + 102*T1^6*T2^7 - 74*T1^7*T2^7 + 
     3*T1^8*T2^7 + 2*T1^4*T2^8 + 3*T1^5*T2^8 - 16*T1^6*T2^8 + 3*T1^7*T2^8 + 
     2*T1^8*T2^8)/(T1^4*T2^4)}, Knot[12, NonAlternating, 19] -> 
  {((1 - T - 2*T^2 + T^3)*(1 - 2*T - T^2 + T^3))/T^3, 
   (1 - 3*T1 - T1^2 + 7*T1^3 - T1^4 - 3*T1^5 + T1^6 - 3*T2 + 4*T1*T2 + 
     21*T1^2*T2 - 26*T1^3*T2 - 26*T1^4*T2 + 21*T1^5*T2 + 4*T1^6*T2 - 
     3*T1^7*T2 - T2^2 + 21*T1*T2^2 - 57*T1^2*T2^2 - 20*T1^3*T2^2 + 
     137*T1^4*T2^2 - 20*T1^5*T2^2 - 57*T1^6*T2^2 + 21*T1^7*T2^2 - T1^8*T2^2 + 
     7*T2^3 - 26*T1*T2^3 - 20*T1^2*T2^3 + 184*T1^3*T2^3 - 158*T1^4*T2^3 - 
     158*T1^5*T2^3 + 184*T1^6*T2^3 - 20*T1^7*T2^3 - 26*T1^8*T2^3 + 
     7*T1^9*T2^3 - T2^4 - 26*T1*T2^4 + 137*T1^2*T2^4 - 158*T1^3*T2^4 - 
     160*T1^4*T2^4 + 416*T1^5*T2^4 - 160*T1^6*T2^4 - 158*T1^7*T2^4 + 
     137*T1^8*T2^4 - 26*T1^9*T2^4 - T1^10*T2^4 - 3*T2^5 + 21*T1*T2^5 - 
     20*T1^2*T2^5 - 158*T1^3*T2^5 + 416*T1^4*T2^5 - 242*T1^5*T2^5 - 
     242*T1^6*T2^5 + 416*T1^7*T2^5 - 158*T1^8*T2^5 - 20*T1^9*T2^5 + 
     21*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 4*T1*T2^6 - 57*T1^2*T2^6 + 
     184*T1^3*T2^6 - 160*T1^4*T2^6 - 242*T1^5*T2^6 + 504*T1^6*T2^6 - 
     242*T1^7*T2^6 - 160*T1^8*T2^6 + 184*T1^9*T2^6 - 57*T1^10*T2^6 + 
     4*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 + 21*T1^2*T2^7 - 20*T1^3*T2^7 - 
     158*T1^4*T2^7 + 416*T1^5*T2^7 - 242*T1^6*T2^7 - 242*T1^7*T2^7 + 
     416*T1^8*T2^7 - 158*T1^9*T2^7 - 20*T1^10*T2^7 + 21*T1^11*T2^7 - 
     3*T1^12*T2^7 - T1^2*T2^8 - 26*T1^3*T2^8 + 137*T1^4*T2^8 - 
     158*T1^5*T2^8 - 160*T1^6*T2^8 + 416*T1^7*T2^8 - 160*T1^8*T2^8 - 
     158*T1^9*T2^8 + 137*T1^10*T2^8 - 26*T1^11*T2^8 - T1^12*T2^8 + 
     7*T1^3*T2^9 - 26*T1^4*T2^9 - 20*T1^5*T2^9 + 184*T1^6*T2^9 - 
     158*T1^7*T2^9 - 158*T1^8*T2^9 + 184*T1^9*T2^9 - 20*T1^10*T2^9 - 
     26*T1^11*T2^9 + 7*T1^12*T2^9 - T1^4*T2^10 + 21*T1^5*T2^10 - 
     57*T1^6*T2^10 - 20*T1^7*T2^10 + 137*T1^8*T2^10 - 20*T1^9*T2^10 - 
     57*T1^10*T2^10 + 21*T1^11*T2^10 - T1^12*T2^10 - 3*T1^5*T2^11 + 
     4*T1^6*T2^11 + 21*T1^7*T2^11 - 26*T1^8*T2^11 - 26*T1^9*T2^11 + 
     21*T1^10*T2^11 + 4*T1^11*T2^11 - 3*T1^12*T2^11 + T1^6*T2^12 - 
     3*T1^7*T2^12 - T1^8*T2^12 + 7*T1^9*T2^12 - T1^10*T2^12 - 3*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 20] -> 
  {(1 - 5*T + 11*T^2 - 13*T^3 + 11*T^4 - 5*T^5 + T^6)/T^3, 
   -((1 - 5*T1 + 11*T1^2 - 13*T1^3 + 11*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
      20*T1*T2 - 30*T1^2*T2 + 11*T1^3*T2 + 11*T1^4*T2 - 30*T1^5*T2 + 
      20*T1^6*T2 - 5*T1^7*T2 + 11*T2^2 - 30*T1*T2^2 + 6*T1^2*T2^2 + 
      76*T1^3*T2^2 - 98*T1^4*T2^2 + 76*T1^5*T2^2 + 6*T1^6*T2^2 - 
      30*T1^7*T2^2 + 11*T1^8*T2^2 - 13*T2^3 + 11*T1*T2^3 + 76*T1^2*T2^3 - 
      166*T1^3*T2^3 + 65*T1^4*T2^3 + 65*T1^5*T2^3 - 166*T1^6*T2^3 + 
      76*T1^7*T2^3 + 11*T1^8*T2^3 - 13*T1^9*T2^3 + 11*T2^4 + 11*T1*T2^4 - 
      98*T1^2*T2^4 + 65*T1^3*T2^4 + 180*T1^4*T2^4 - 280*T1^5*T2^4 + 
      180*T1^6*T2^4 + 65*T1^7*T2^4 - 98*T1^8*T2^4 + 11*T1^9*T2^4 + 
      11*T1^10*T2^4 - 5*T2^5 - 30*T1*T2^5 + 76*T1^2*T2^5 + 65*T1^3*T2^5 - 
      280*T1^4*T2^5 + 158*T1^5*T2^5 + 158*T1^6*T2^5 - 280*T1^7*T2^5 + 
      65*T1^8*T2^5 + 76*T1^9*T2^5 - 30*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
      20*T1*T2^6 + 6*T1^2*T2^6 - 166*T1^3*T2^6 + 180*T1^4*T2^6 + 
      158*T1^5*T2^6 - 384*T1^6*T2^6 + 158*T1^7*T2^6 + 180*T1^8*T2^6 - 
      166*T1^9*T2^6 + 6*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
      30*T1^2*T2^7 + 76*T1^3*T2^7 + 65*T1^4*T2^7 - 280*T1^5*T2^7 + 
      158*T1^6*T2^7 + 158*T1^7*T2^7 - 280*T1^8*T2^7 + 65*T1^9*T2^7 + 
      76*T1^10*T2^7 - 30*T1^11*T2^7 - 5*T1^12*T2^7 + 11*T1^2*T2^8 + 
      11*T1^3*T2^8 - 98*T1^4*T2^8 + 65*T1^5*T2^8 + 180*T1^6*T2^8 - 
      280*T1^7*T2^8 + 180*T1^8*T2^8 + 65*T1^9*T2^8 - 98*T1^10*T2^8 + 
      11*T1^11*T2^8 + 11*T1^12*T2^8 - 13*T1^3*T2^9 + 11*T1^4*T2^9 + 
      76*T1^5*T2^9 - 166*T1^6*T2^9 + 65*T1^7*T2^9 + 65*T1^8*T2^9 - 
      166*T1^9*T2^9 + 76*T1^10*T2^9 + 11*T1^11*T2^9 - 13*T1^12*T2^9 + 
      11*T1^4*T2^10 - 30*T1^5*T2^10 + 6*T1^6*T2^10 + 76*T1^7*T2^10 - 
      98*T1^8*T2^10 + 76*T1^9*T2^10 + 6*T1^10*T2^10 - 30*T1^11*T2^10 + 
      11*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 30*T1^7*T2^11 + 
      11*T1^8*T2^11 + 11*T1^9*T2^11 - 30*T1^10*T2^11 + 20*T1^11*T2^11 - 
      5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 11*T1^8*T2^12 - 
      13*T1^9*T2^12 + 11*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, NonAlternating, 21] -> 
  {(2 - 12*T + 28*T^2 - 35*T^3 + 28*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (9 - 54*T1 + 125*T1^2 - 155*T1^3 + 125*T1^4 - 54*T1^5 + 9*T1^6 - 54*T2 + 
     272*T1*T2 - 431*T1^2*T2 + 181*T1^3*T2 + 181*T1^4*T2 - 431*T1^5*T2 + 
     272*T1^6*T2 - 54*T1^7*T2 + 125*T2^2 - 431*T1*T2^2 - 84*T1^2*T2^2 + 
     1642*T1^3*T2^2 - 2156*T1^4*T2^2 + 1642*T1^5*T2^2 - 84*T1^6*T2^2 - 
     431*T1^7*T2^2 + 125*T1^8*T2^2 - 155*T2^3 + 181*T1*T2^3 + 
     1642*T1^2*T2^3 - 3552*T1^3*T2^3 + 1340*T1^4*T2^3 + 1340*T1^5*T2^3 - 
     3552*T1^6*T2^3 + 1642*T1^7*T2^3 + 181*T1^8*T2^3 - 155*T1^9*T2^3 + 
     125*T2^4 + 181*T1*T2^4 - 2156*T1^2*T2^4 + 1340*T1^3*T2^4 + 
     4778*T1^4*T2^4 - 6284*T1^5*T2^4 + 4778*T1^6*T2^4 + 1340*T1^7*T2^4 - 
     2156*T1^8*T2^4 + 181*T1^9*T2^4 + 125*T1^10*T2^4 - 54*T2^5 - 
     431*T1*T2^5 + 1642*T1^2*T2^5 + 1340*T1^3*T2^5 - 6284*T1^4*T2^5 + 
     2102*T1^5*T2^5 + 2102*T1^6*T2^5 - 6284*T1^7*T2^5 + 1340*T1^8*T2^5 + 
     1642*T1^9*T2^5 - 431*T1^10*T2^5 - 54*T1^11*T2^5 + 9*T2^6 + 272*T1*T2^6 - 
     84*T1^2*T2^6 - 3552*T1^3*T2^6 + 4778*T1^4*T2^6 + 2102*T1^5*T2^6 - 
     3216*T1^6*T2^6 + 2102*T1^7*T2^6 + 4778*T1^8*T2^6 - 3552*T1^9*T2^6 - 
     84*T1^10*T2^6 + 272*T1^11*T2^6 + 9*T1^12*T2^6 - 54*T1*T2^7 - 
     431*T1^2*T2^7 + 1642*T1^3*T2^7 + 1340*T1^4*T2^7 - 6284*T1^5*T2^7 + 
     2102*T1^6*T2^7 + 2102*T1^7*T2^7 - 6284*T1^8*T2^7 + 1340*T1^9*T2^7 + 
     1642*T1^10*T2^7 - 431*T1^11*T2^7 - 54*T1^12*T2^7 + 125*T1^2*T2^8 + 
     181*T1^3*T2^8 - 2156*T1^4*T2^8 + 1340*T1^5*T2^8 + 4778*T1^6*T2^8 - 
     6284*T1^7*T2^8 + 4778*T1^8*T2^8 + 1340*T1^9*T2^8 - 2156*T1^10*T2^8 + 
     181*T1^11*T2^8 + 125*T1^12*T2^8 - 155*T1^3*T2^9 + 181*T1^4*T2^9 + 
     1642*T1^5*T2^9 - 3552*T1^6*T2^9 + 1340*T1^7*T2^9 + 1340*T1^8*T2^9 - 
     3552*T1^9*T2^9 + 1642*T1^10*T2^9 + 181*T1^11*T2^9 - 155*T1^12*T2^9 + 
     125*T1^4*T2^10 - 431*T1^5*T2^10 - 84*T1^6*T2^10 + 1642*T1^7*T2^10 - 
     2156*T1^8*T2^10 + 1642*T1^9*T2^10 - 84*T1^10*T2^10 - 431*T1^11*T2^10 + 
     125*T1^12*T2^10 - 54*T1^5*T2^11 + 272*T1^6*T2^11 - 431*T1^7*T2^11 + 
     181*T1^8*T2^11 + 181*T1^9*T2^11 - 431*T1^10*T2^11 + 272*T1^11*T2^11 - 
     54*T1^12*T2^11 + 9*T1^6*T2^12 - 54*T1^7*T2^12 + 125*T1^8*T2^12 - 
     155*T1^9*T2^12 + 125*T1^10*T2^12 - 54*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   (1 - 3*T1 + 3*T1^2 - 3*T1^3 + 3*T1^4 - 3*T1^5 + T1^6 - 3*T2 - 2*T1*T2 + 
     22*T1^2*T2 - 11*T1^3*T2 - 11*T1^4*T2 + 22*T1^5*T2 - 2*T1^6*T2 - 
     3*T1^7*T2 + 3*T2^2 + 22*T1*T2^2 - 19*T1^2*T2^2 - 136*T1^3*T2^2 + 
     193*T1^4*T2^2 - 136*T1^5*T2^2 - 19*T1^6*T2^2 + 22*T1^7*T2^2 + 
     3*T1^8*T2^2 - 3*T2^3 - 11*T1*T2^3 - 136*T1^2*T2^3 + 396*T1^3*T2^3 - 
     133*T1^4*T2^3 - 133*T1^5*T2^3 + 396*T1^6*T2^3 - 136*T1^7*T2^3 - 
     11*T1^8*T2^3 - 3*T1^9*T2^3 + 3*T2^4 - 11*T1*T2^4 + 193*T1^2*T2^4 - 
     133*T1^3*T2^4 - 534*T1^4*T2^4 + 458*T1^5*T2^4 - 534*T1^6*T2^4 - 
     133*T1^7*T2^4 + 193*T1^8*T2^4 - 11*T1^9*T2^4 + 3*T1^10*T2^4 - 3*T2^5 + 
     22*T1*T2^5 - 136*T1^2*T2^5 - 133*T1^3*T2^5 + 458*T1^4*T2^5 + 
     190*T1^5*T2^5 + 190*T1^6*T2^5 + 458*T1^7*T2^5 - 133*T1^8*T2^5 - 
     136*T1^9*T2^5 + 22*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 - 2*T1*T2^6 - 
     19*T1^2*T2^6 + 396*T1^3*T2^6 - 534*T1^4*T2^6 + 190*T1^5*T2^6 - 
     984*T1^6*T2^6 + 190*T1^7*T2^6 - 534*T1^8*T2^6 + 396*T1^9*T2^6 - 
     19*T1^10*T2^6 - 2*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 + 22*T1^2*T2^7 - 
     136*T1^3*T2^7 - 133*T1^4*T2^7 + 458*T1^5*T2^7 + 190*T1^6*T2^7 + 
     190*T1^7*T2^7 + 458*T1^8*T2^7 - 133*T1^9*T2^7 - 136*T1^10*T2^7 + 
     22*T1^11*T2^7 - 3*T1^12*T2^7 + 3*T1^2*T2^8 - 11*T1^3*T2^8 + 
     193*T1^4*T2^8 - 133*T1^5*T2^8 - 534*T1^6*T2^8 + 458*T1^7*T2^8 - 
     534*T1^8*T2^8 - 133*T1^9*T2^8 + 193*T1^10*T2^8 - 11*T1^11*T2^8 + 
     3*T1^12*T2^8 - 3*T1^3*T2^9 - 11*T1^4*T2^9 - 136*T1^5*T2^9 + 
     396*T1^6*T2^9 - 133*T1^7*T2^9 - 133*T1^8*T2^9 + 396*T1^9*T2^9 - 
     136*T1^10*T2^9 - 11*T1^11*T2^9 - 3*T1^12*T2^9 + 3*T1^4*T2^10 + 
     22*T1^5*T2^10 - 19*T1^6*T2^10 - 136*T1^7*T2^10 + 193*T1^8*T2^10 - 
     136*T1^9*T2^10 - 19*T1^10*T2^10 + 22*T1^11*T2^10 + 3*T1^12*T2^10 - 
     3*T1^5*T2^11 - 2*T1^6*T2^11 + 22*T1^7*T2^11 - 11*T1^8*T2^11 - 
     11*T1^9*T2^11 + 22*T1^10*T2^11 - 2*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)/(T1^6*T2^6)}, 
 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 + 3*T1^2*T2^2 + 45*T1^3*T2^2 + 3*T1^4*T2^2 - 9*T1^5*T2^2 + 
     2*T1^6*T2^2 - 9*T1*T2^3 + 45*T1^2*T2^3 - 62*T1^3*T2^3 - 62*T1^4*T2^3 + 
     45*T1^5*T2^3 - 9*T1^6*T2^3 + 2*T1*T2^4 + 3*T1^2*T2^4 - 62*T1^3*T2^4 + 
     168*T1^4*T2^4 - 62*T1^5*T2^4 + 3*T1^6*T2^4 + 2*T1^7*T2^4 - 9*T1^2*T2^5 + 
     45*T1^3*T2^5 - 62*T1^4*T2^5 - 62*T1^5*T2^5 + 45*T1^6*T2^5 - 
     9*T1^7*T2^5 + 2*T1^2*T2^6 - 9*T1^3*T2^6 + 3*T1^4*T2^6 + 45*T1^5*T2^6 + 
     3*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)/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 24] -> 
  {-(((-1 + 2*T - 3*T^2 + T^3)*(-1 + 3*T - 2*T^2 + T^3))/T^3), 
   -((T1^2 + T1^3 - T1*T2 - T1^2*T2 - 13*T1^3*T2 - T1^4*T2 - T1^5*T2 + T2^2 - 
      T1*T2^2 + 6*T1^2*T2^2 + 26*T1^3*T2^2 + 26*T1^4*T2^2 + 6*T1^5*T2^2 - 
      T1^6*T2^2 + T1^7*T2^2 + T2^3 - 13*T1*T2^3 + 26*T1^2*T2^3 - 
      79*T1^3*T2^3 - 15*T1^4*T2^3 - 79*T1^5*T2^3 + 26*T1^6*T2^3 - 
      13*T1^7*T2^3 + T1^8*T2^3 - T1*T2^4 + 26*T1^2*T2^4 - 15*T1^3*T2^4 + 
      104*T1^4*T2^4 + 104*T1^5*T2^4 - 15*T1^6*T2^4 + 26*T1^7*T2^4 - 
      T1^8*T2^4 - T1*T2^5 + 6*T1^2*T2^5 - 79*T1^3*T2^5 + 104*T1^4*T2^5 - 
      324*T1^5*T2^5 + 104*T1^6*T2^5 - 79*T1^7*T2^5 + 6*T1^8*T2^5 - 
      T1^9*T2^5 - T1^2*T2^6 + 26*T1^3*T2^6 - 15*T1^4*T2^6 + 104*T1^5*T2^6 + 
      104*T1^6*T2^6 - 15*T1^7*T2^6 + 26*T1^8*T2^6 - T1^9*T2^6 + T1^2*T2^7 - 
      13*T1^3*T2^7 + 26*T1^4*T2^7 - 79*T1^5*T2^7 - 15*T1^6*T2^7 - 
      79*T1^7*T2^7 + 26*T1^8*T2^7 - 13*T1^9*T2^7 + T1^10*T2^7 + T1^3*T2^8 - 
      T1^4*T2^8 + 6*T1^5*T2^8 + 26*T1^6*T2^8 + 26*T1^7*T2^8 + 6*T1^8*T2^8 - 
      T1^9*T2^8 + T1^10*T2^8 - T1^5*T2^9 - T1^6*T2^9 - 13*T1^7*T2^9 - 
      T1^8*T2^9 - T1^9*T2^9 + T1^7*T2^10 + T1^8*T2^10)/(T1^5*T2^5))}, 
 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 + 6*T1*T2 - T1^2*T2 - T1^3*T2 + 
     6*T1^4*T2 - 3*T1^5*T2 + 3*T2^2 - T1*T2^2 - 9*T1^2*T2^2 + 15*T1^3*T2^2 - 
     9*T1^4*T2^2 - T1^5*T2^2 + 3*T1^6*T2^2 - 3*T2^3 - T1*T2^3 + 
     15*T1^2*T2^3 - 24*T1^3*T2^3 - 24*T1^4*T2^3 + 15*T1^5*T2^3 - T1^6*T2^3 - 
     3*T1^7*T2^3 + T2^4 + 6*T1*T2^4 - 9*T1^2*T2^4 - 24*T1^3*T2^4 + 
     96*T1^4*T2^4 - 24*T1^5*T2^4 - 9*T1^6*T2^4 + 6*T1^7*T2^4 + T1^8*T2^4 - 
     3*T1*T2^5 - T1^2*T2^5 + 15*T1^3*T2^5 - 24*T1^4*T2^5 - 24*T1^5*T2^5 + 
     15*T1^6*T2^5 - T1^7*T2^5 - 3*T1^8*T2^5 + 3*T1^2*T2^6 - T1^3*T2^6 - 
     9*T1^4*T2^6 + 15*T1^5*T2^6 - 9*T1^6*T2^6 - T1^7*T2^6 + 3*T1^8*T2^6 - 
     3*T1^3*T2^7 + 6*T1^4*T2^7 - T1^5*T2^7 - T1^6*T2^7 + 6*T1^7*T2^7 - 
     3*T1^8*T2^7 + T1^4*T2^8 - 3*T1^5*T2^8 + 3*T1^6*T2^8 - 3*T1^7*T2^8 + 
     T1^8*T2^8)/(T1^4*T2^4)}, Knot[12, NonAlternating, 26] -> 
  {-((2 - 10*T + 22*T^2 - 29*T^3 + 22*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((1 - 6*T1 + 14*T1^2 - 19*T1^3 + 14*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
      28*T1*T2 - 43*T1^2*T2 + 27*T1^3*T2 + 27*T1^4*T2 - 43*T1^5*T2 + 
      28*T1^6*T2 - 6*T1^7*T2 + 14*T2^2 - 43*T1*T2^2 + 25*T1^2*T2^2 + 
      7*T1^3*T2^2 - 79*T1^4*T2^2 + 7*T1^5*T2^2 + 25*T1^6*T2^2 - 
      43*T1^7*T2^2 + 14*T1^8*T2^2 - 19*T2^3 + 27*T1*T2^3 + 7*T1^2*T2^3 + 
      82*T1^3*T2^3 + 45*T1^4*T2^3 + 45*T1^5*T2^3 + 82*T1^6*T2^3 + 
      7*T1^7*T2^3 + 27*T1^8*T2^3 - 19*T1^9*T2^3 + 14*T2^4 + 27*T1*T2^4 - 
      79*T1^2*T2^4 + 45*T1^3*T2^4 - 679*T1^4*T2^4 + 617*T1^5*T2^4 - 
      679*T1^6*T2^4 + 45*T1^7*T2^4 - 79*T1^8*T2^4 + 27*T1^9*T2^4 + 
      14*T1^10*T2^4 - 6*T2^5 - 43*T1*T2^5 + 7*T1^2*T2^5 + 45*T1^3*T2^5 + 
      617*T1^4*T2^5 + 8*T1^5*T2^5 + 8*T1^6*T2^5 + 617*T1^7*T2^5 + 
      45*T1^8*T2^5 + 7*T1^9*T2^5 - 43*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
      28*T1*T2^6 + 25*T1^2*T2^6 + 82*T1^3*T2^6 - 679*T1^4*T2^6 + 
      8*T1^5*T2^6 - 432*T1^6*T2^6 + 8*T1^7*T2^6 - 679*T1^8*T2^6 + 
      82*T1^9*T2^6 + 25*T1^10*T2^6 + 28*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
      43*T1^2*T2^7 + 7*T1^3*T2^7 + 45*T1^4*T2^7 + 617*T1^5*T2^7 + 
      8*T1^6*T2^7 + 8*T1^7*T2^7 + 617*T1^8*T2^7 + 45*T1^9*T2^7 + 
      7*T1^10*T2^7 - 43*T1^11*T2^7 - 6*T1^12*T2^7 + 14*T1^2*T2^8 + 
      27*T1^3*T2^8 - 79*T1^4*T2^8 + 45*T1^5*T2^8 - 679*T1^6*T2^8 + 
      617*T1^7*T2^8 - 679*T1^8*T2^8 + 45*T1^9*T2^8 - 79*T1^10*T2^8 + 
      27*T1^11*T2^8 + 14*T1^12*T2^8 - 19*T1^3*T2^9 + 27*T1^4*T2^9 + 
      7*T1^5*T2^9 + 82*T1^6*T2^9 + 45*T1^7*T2^9 + 45*T1^8*T2^9 + 
      82*T1^9*T2^9 + 7*T1^10*T2^9 + 27*T1^11*T2^9 - 19*T1^12*T2^9 + 
      14*T1^4*T2^10 - 43*T1^5*T2^10 + 25*T1^6*T2^10 + 7*T1^7*T2^10 - 
      79*T1^8*T2^10 + 7*T1^9*T2^10 + 25*T1^10*T2^10 - 43*T1^11*T2^10 + 
      14*T1^12*T2^10 - 6*T1^5*T2^11 + 28*T1^6*T2^11 - 43*T1^7*T2^11 + 
      27*T1^8*T2^11 + 27*T1^9*T2^11 - 43*T1^10*T2^11 + 28*T1^11*T2^11 - 
      6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 14*T1^8*T2^12 - 
      19*T1^9*T2^12 + 14*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, 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), -((1 - 6*T1 + 16*T1^2 - 25*T1^3 + 27*T1^4 - 25*T1^5 + 16*T1^6 - 
      6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 60*T1^2*T2 + 54*T1^3*T2 - 
      12*T1^4*T2 - 12*T1^5*T2 + 54*T1^6*T2 - 60*T1^7*T2 + 30*T1^8*T2 - 
      6*T1^9*T2 + 16*T2^2 - 60*T1*T2^2 + 55*T1^2*T2^2 + 87*T1^3*T2^2 - 
      232*T1^4*T2^2 + 203*T1^5*T2^2 - 232*T1^6*T2^2 + 87*T1^7*T2^2 + 
      55*T1^8*T2^2 - 60*T1^9*T2^2 + 16*T1^10*T2^2 - 25*T2^3 + 54*T1*T2^3 + 
      87*T1^2*T2^3 - 390*T1^3*T2^3 + 392*T1^4*T2^3 - 13*T1^5*T2^3 - 
      13*T1^6*T2^3 + 392*T1^7*T2^3 - 390*T1^8*T2^3 + 87*T1^9*T2^3 + 
      54*T1^10*T2^3 - 25*T1^11*T2^3 + 27*T2^4 - 12*T1*T2^4 - 232*T1^2*T2^4 + 
      392*T1^3*T2^4 + 177*T1^4*T2^4 - 858*T1^5*T2^4 + 563*T1^6*T2^4 - 
      858*T1^7*T2^4 + 177*T1^8*T2^4 + 392*T1^9*T2^4 - 232*T1^10*T2^4 - 
      12*T1^11*T2^4 + 27*T1^12*T2^4 - 25*T2^5 - 12*T1*T2^5 + 203*T1^2*T2^5 - 
      13*T1^3*T2^5 - 858*T1^4*T2^5 + 1018*T1^5*T2^5 + 26*T1^6*T2^5 + 
      26*T1^7*T2^5 + 1018*T1^8*T2^5 - 858*T1^9*T2^5 - 13*T1^10*T2^5 + 
      203*T1^11*T2^5 - 12*T1^12*T2^5 - 25*T1^13*T2^5 + 16*T2^6 + 54*T1*T2^6 - 
      232*T1^2*T2^6 - 13*T1^3*T2^6 + 563*T1^4*T2^6 + 26*T1^5*T2^6 - 
      1287*T1^6*T2^6 + 973*T1^7*T2^6 - 1287*T1^8*T2^6 + 26*T1^9*T2^6 + 
      563*T1^10*T2^6 - 13*T1^11*T2^6 - 232*T1^12*T2^6 + 54*T1^13*T2^6 + 
      16*T1^14*T2^6 - 6*T2^7 - 60*T1*T2^7 + 87*T1^2*T2^7 + 392*T1^3*T2^7 - 
      858*T1^4*T2^7 + 26*T1^5*T2^7 + 973*T1^6*T2^7 - 184*T1^7*T2^7 - 
      184*T1^8*T2^7 + 973*T1^9*T2^7 + 26*T1^10*T2^7 - 858*T1^11*T2^7 + 
      392*T1^12*T2^7 + 87*T1^13*T2^7 - 60*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 
      30*T1*T2^8 + 55*T1^2*T2^8 - 390*T1^3*T2^8 + 177*T1^4*T2^8 + 
      1018*T1^5*T2^8 - 1287*T1^6*T2^8 - 184*T1^7*T2^8 + 456*T1^8*T2^8 - 
      184*T1^9*T2^8 - 1287*T1^10*T2^8 + 1018*T1^11*T2^8 + 177*T1^12*T2^8 - 
      390*T1^13*T2^8 + 55*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 
      6*T1*T2^9 - 60*T1^2*T2^9 + 87*T1^3*T2^9 + 392*T1^4*T2^9 - 
      858*T1^5*T2^9 + 26*T1^6*T2^9 + 973*T1^7*T2^9 - 184*T1^8*T2^9 - 
      184*T1^9*T2^9 + 973*T1^10*T2^9 + 26*T1^11*T2^9 - 858*T1^12*T2^9 + 
      392*T1^13*T2^9 + 87*T1^14*T2^9 - 60*T1^15*T2^9 - 6*T1^16*T2^9 + 
      16*T1^2*T2^10 + 54*T1^3*T2^10 - 232*T1^4*T2^10 - 13*T1^5*T2^10 + 
      563*T1^6*T2^10 + 26*T1^7*T2^10 - 1287*T1^8*T2^10 + 973*T1^9*T2^10 - 
      1287*T1^10*T2^10 + 26*T1^11*T2^10 + 563*T1^12*T2^10 - 13*T1^13*T2^10 - 
      232*T1^14*T2^10 + 54*T1^15*T2^10 + 16*T1^16*T2^10 - 25*T1^3*T2^11 - 
      12*T1^4*T2^11 + 203*T1^5*T2^11 - 13*T1^6*T2^11 - 858*T1^7*T2^11 + 
      1018*T1^8*T2^11 + 26*T1^9*T2^11 + 26*T1^10*T2^11 + 1018*T1^11*T2^11 - 
      858*T1^12*T2^11 - 13*T1^13*T2^11 + 203*T1^14*T2^11 - 12*T1^15*T2^11 - 
      25*T1^16*T2^11 + 27*T1^4*T2^12 - 12*T1^5*T2^12 - 232*T1^6*T2^12 + 
      392*T1^7*T2^12 + 177*T1^8*T2^12 - 858*T1^9*T2^12 + 563*T1^10*T2^12 - 
      858*T1^11*T2^12 + 177*T1^12*T2^12 + 392*T1^13*T2^12 - 232*T1^14*T2^12 - 
      12*T1^15*T2^12 + 27*T1^16*T2^12 - 25*T1^5*T2^13 + 54*T1^6*T2^13 + 
      87*T1^7*T2^13 - 390*T1^8*T2^13 + 392*T1^9*T2^13 - 13*T1^10*T2^13 - 
      13*T1^11*T2^13 + 392*T1^12*T2^13 - 390*T1^13*T2^13 + 87*T1^14*T2^13 + 
      54*T1^15*T2^13 - 25*T1^16*T2^13 + 16*T1^6*T2^14 - 60*T1^7*T2^14 + 
      55*T1^8*T2^14 + 87*T1^9*T2^14 - 232*T1^10*T2^14 + 203*T1^11*T2^14 - 
      232*T1^12*T2^14 + 87*T1^13*T2^14 + 55*T1^14*T2^14 - 60*T1^15*T2^14 + 
      16*T1^16*T2^14 - 6*T1^7*T2^15 + 30*T1^8*T2^15 - 60*T1^9*T2^15 + 
      54*T1^10*T2^15 - 12*T1^11*T2^15 - 12*T1^12*T2^15 + 54*T1^13*T2^15 - 
      60*T1^14*T2^15 + 30*T1^15*T2^15 - 6*T1^16*T2^15 + T1^8*T2^16 - 
      6*T1^9*T2^16 + 16*T1^10*T2^16 - 25*T1^11*T2^16 + 27*T1^12*T2^16 - 
      25*T1^13*T2^16 + 16*T1^14*T2^16 - 6*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, 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 - 3*T1^2*T2^2 + 5*T1^3*T2^2 - 15*T1^4*T2^2 + 
     5*T1^5*T2^2 - 3*T1^6*T2^2 + 2*T1^7*T2^2 + T1^8*T2^2 - 2*T2^3 + 
     5*T1^2*T2^3 - 14*T1^3*T2^3 + 32*T1^4*T2^3 + 32*T1^5*T2^3 - 
     14*T1^6*T2^3 + 5*T1^7*T2^3 - 2*T1^9*T2^3 + T2^4 - 15*T1^2*T2^4 + 
     32*T1^3*T2^4 - 68*T1^4*T2^4 - 52*T1^5*T2^4 - 68*T1^6*T2^4 + 
     32*T1^7*T2^4 - 15*T1^8*T2^4 + T1^10*T2^4 + 2*T1*T2^5 + 5*T1^2*T2^5 + 
     32*T1^3*T2^5 - 52*T1^4*T2^5 + 168*T1^5*T2^5 + 168*T1^6*T2^5 - 
     52*T1^7*T2^5 + 32*T1^8*T2^5 + 5*T1^9*T2^5 + 2*T1^10*T2^5 - 2*T1*T2^6 - 
     3*T1^2*T2^6 - 14*T1^3*T2^6 - 68*T1^4*T2^6 + 168*T1^5*T2^6 - 
     552*T1^6*T2^6 + 168*T1^7*T2^6 - 68*T1^8*T2^6 - 14*T1^9*T2^6 - 
     3*T1^10*T2^6 - 2*T1^11*T2^6 + 2*T1^2*T2^7 + 5*T1^3*T2^7 + 32*T1^4*T2^7 - 
     52*T1^5*T2^7 + 168*T1^6*T2^7 + 168*T1^7*T2^7 - 52*T1^8*T2^7 + 
     32*T1^9*T2^7 + 5*T1^10*T2^7 + 2*T1^11*T2^7 + T1^2*T2^8 - 15*T1^4*T2^8 + 
     32*T1^5*T2^8 - 68*T1^6*T2^8 - 52*T1^7*T2^8 - 68*T1^8*T2^8 + 
     32*T1^9*T2^8 - 15*T1^10*T2^8 + T1^12*T2^8 - 2*T1^3*T2^9 + 5*T1^5*T2^9 - 
     14*T1^6*T2^9 + 32*T1^7*T2^9 + 32*T1^8*T2^9 - 14*T1^9*T2^9 + 
     5*T1^10*T2^9 - 2*T1^12*T2^9 + T1^4*T2^10 + 2*T1^5*T2^10 - 3*T1^6*T2^10 + 
     5*T1^7*T2^10 - 15*T1^8*T2^10 + 5*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)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 29] -> 
  {(2 - 12*T + 28*T^2 - 35*T^3 + 28*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (9 - 54*T1 + 126*T1^2 - 157*T1^3 + 126*T1^4 - 54*T1^5 + 9*T1^6 - 54*T2 + 
     270*T1*T2 - 429*T1^2*T2 + 181*T1^3*T2 + 181*T1^4*T2 - 429*T1^5*T2 + 
     270*T1^6*T2 - 54*T1^7*T2 + 126*T2^2 - 429*T1*T2^2 - 86*T1^2*T2^2 + 
     1642*T1^3*T2^2 - 2158*T1^4*T2^2 + 1642*T1^5*T2^2 - 86*T1^6*T2^2 - 
     429*T1^7*T2^2 + 126*T1^8*T2^2 - 157*T2^3 + 181*T1*T2^3 + 
     1642*T1^2*T2^3 - 3552*T1^3*T2^3 + 1342*T1^4*T2^3 + 1342*T1^5*T2^3 - 
     3552*T1^6*T2^3 + 1642*T1^7*T2^3 + 181*T1^8*T2^3 - 157*T1^9*T2^3 + 
     126*T2^4 + 181*T1*T2^4 - 2158*T1^2*T2^4 + 1342*T1^3*T2^4 + 
     4778*T1^4*T2^4 - 6286*T1^5*T2^4 + 4778*T1^6*T2^4 + 1342*T1^7*T2^4 - 
     2158*T1^8*T2^4 + 181*T1^9*T2^4 + 126*T1^10*T2^4 - 54*T2^5 - 
     429*T1*T2^5 + 1642*T1^2*T2^5 + 1342*T1^3*T2^5 - 6286*T1^4*T2^5 + 
     2100*T1^5*T2^5 + 2100*T1^6*T2^5 - 6286*T1^7*T2^5 + 1342*T1^8*T2^5 + 
     1642*T1^9*T2^5 - 429*T1^10*T2^5 - 54*T1^11*T2^5 + 9*T2^6 + 270*T1*T2^6 - 
     86*T1^2*T2^6 - 3552*T1^3*T2^6 + 4778*T1^4*T2^6 + 2100*T1^5*T2^6 - 
     3204*T1^6*T2^6 + 2100*T1^7*T2^6 + 4778*T1^8*T2^6 - 3552*T1^9*T2^6 - 
     86*T1^10*T2^6 + 270*T1^11*T2^6 + 9*T1^12*T2^6 - 54*T1*T2^7 - 
     429*T1^2*T2^7 + 1642*T1^3*T2^7 + 1342*T1^4*T2^7 - 6286*T1^5*T2^7 + 
     2100*T1^6*T2^7 + 2100*T1^7*T2^7 - 6286*T1^8*T2^7 + 1342*T1^9*T2^7 + 
     1642*T1^10*T2^7 - 429*T1^11*T2^7 - 54*T1^12*T2^7 + 126*T1^2*T2^8 + 
     181*T1^3*T2^8 - 2158*T1^4*T2^8 + 1342*T1^5*T2^8 + 4778*T1^6*T2^8 - 
     6286*T1^7*T2^8 + 4778*T1^8*T2^8 + 1342*T1^9*T2^8 - 2158*T1^10*T2^8 + 
     181*T1^11*T2^8 + 126*T1^12*T2^8 - 157*T1^3*T2^9 + 181*T1^4*T2^9 + 
     1642*T1^5*T2^9 - 3552*T1^6*T2^9 + 1342*T1^7*T2^9 + 1342*T1^8*T2^9 - 
     3552*T1^9*T2^9 + 1642*T1^10*T2^9 + 181*T1^11*T2^9 - 157*T1^12*T2^9 + 
     126*T1^4*T2^10 - 429*T1^5*T2^10 - 86*T1^6*T2^10 + 1642*T1^7*T2^10 - 
     2158*T1^8*T2^10 + 1642*T1^9*T2^10 - 86*T1^10*T2^10 - 429*T1^11*T2^10 + 
     126*T1^12*T2^10 - 54*T1^5*T2^11 + 270*T1^6*T2^11 - 429*T1^7*T2^11 + 
     181*T1^8*T2^11 + 181*T1^9*T2^11 - 429*T1^10*T2^11 + 270*T1^11*T2^11 - 
     54*T1^12*T2^11 + 9*T1^6*T2^12 - 54*T1^7*T2^12 + 126*T1^8*T2^12 - 
     157*T1^9*T2^12 + 126*T1^10*T2^12 - 54*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   (1 - 3*T1 + 4*T1^2 - 5*T1^3 + 4*T1^4 - 3*T1^5 + T1^6 - 3*T2 - 4*T1*T2 + 
     24*T1^2*T2 - 11*T1^3*T2 - 11*T1^4*T2 + 24*T1^5*T2 - 4*T1^6*T2 - 
     3*T1^7*T2 + 4*T2^2 + 24*T1*T2^2 - 21*T1^2*T2^2 - 136*T1^3*T2^2 + 
     191*T1^4*T2^2 - 136*T1^5*T2^2 - 21*T1^6*T2^2 + 24*T1^7*T2^2 + 
     4*T1^8*T2^2 - 5*T2^3 - 11*T1*T2^3 - 136*T1^2*T2^3 + 396*T1^3*T2^3 - 
     131*T1^4*T2^3 - 131*T1^5*T2^3 + 396*T1^6*T2^3 - 136*T1^7*T2^3 - 
     11*T1^8*T2^3 - 5*T1^9*T2^3 + 4*T2^4 - 11*T1*T2^4 + 191*T1^2*T2^4 - 
     131*T1^3*T2^4 - 534*T1^4*T2^4 + 456*T1^5*T2^4 - 534*T1^6*T2^4 - 
     131*T1^7*T2^4 + 191*T1^8*T2^4 - 11*T1^9*T2^4 + 4*T1^10*T2^4 - 3*T2^5 + 
     24*T1*T2^5 - 136*T1^2*T2^5 - 131*T1^3*T2^5 + 456*T1^4*T2^5 + 
     188*T1^5*T2^5 + 188*T1^6*T2^5 + 456*T1^7*T2^5 - 131*T1^8*T2^5 - 
     136*T1^9*T2^5 + 24*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 - 4*T1*T2^6 - 
     21*T1^2*T2^6 + 396*T1^3*T2^6 - 534*T1^4*T2^6 + 188*T1^5*T2^6 - 
     972*T1^6*T2^6 + 188*T1^7*T2^6 - 534*T1^8*T2^6 + 396*T1^9*T2^6 - 
     21*T1^10*T2^6 - 4*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 + 24*T1^2*T2^7 - 
     136*T1^3*T2^7 - 131*T1^4*T2^7 + 456*T1^5*T2^7 + 188*T1^6*T2^7 + 
     188*T1^7*T2^7 + 456*T1^8*T2^7 - 131*T1^9*T2^7 - 136*T1^10*T2^7 + 
     24*T1^11*T2^7 - 3*T1^12*T2^7 + 4*T1^2*T2^8 - 11*T1^3*T2^8 + 
     191*T1^4*T2^8 - 131*T1^5*T2^8 - 534*T1^6*T2^8 + 456*T1^7*T2^8 - 
     534*T1^8*T2^8 - 131*T1^9*T2^8 + 191*T1^10*T2^8 - 11*T1^11*T2^8 + 
     4*T1^12*T2^8 - 5*T1^3*T2^9 - 11*T1^4*T2^9 - 136*T1^5*T2^9 + 
     396*T1^6*T2^9 - 131*T1^7*T2^9 - 131*T1^8*T2^9 + 396*T1^9*T2^9 - 
     136*T1^10*T2^9 - 11*T1^11*T2^9 - 5*T1^12*T2^9 + 4*T1^4*T2^10 + 
     24*T1^5*T2^10 - 21*T1^6*T2^10 - 136*T1^7*T2^10 + 191*T1^8*T2^10 - 
     136*T1^9*T2^10 - 21*T1^10*T2^10 + 24*T1^11*T2^10 + 4*T1^12*T2^10 - 
     3*T1^5*T2^11 - 4*T1^6*T2^11 + 24*T1^7*T2^11 - 11*T1^8*T2^11 - 
     11*T1^9*T2^11 + 24*T1^10*T2^11 - 4*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)/(T1^6*T2^6)}, 
 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 + 3*T1^4*T2^4 + 43*T1^5*T2^4 + 
     3*T1^6*T2^4 - 7*T1^7*T2^4 + T1^10*T2^4 + 2*T1*T2^5 - 7*T1^3*T2^5 + 
     43*T1^4*T2^5 - 64*T1^5*T2^5 - 64*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 + 
     3*T1^4*T2^6 - 64*T1^5*T2^6 + 180*T1^6*T2^6 - 64*T1^7*T2^6 + 
     3*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 - 64*T1^6*T2^7 - 64*T1^7*T2^7 + 
     43*T1^8*T2^7 - 7*T1^9*T2^7 + 2*T1^11*T2^7 + T1^2*T2^8 - 7*T1^5*T2^8 + 
     3*T1^6*T2^8 + 43*T1^7*T2^8 + 3*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)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 32] -> 
  {-((2 - 10*T + 22*T^2 - 29*T^3 + 22*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((1 - 6*T1 + 15*T1^2 - 21*T1^3 + 15*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
      26*T1*T2 - 41*T1^2*T2 + 27*T1^3*T2 + 27*T1^4*T2 - 41*T1^5*T2 + 
      26*T1^6*T2 - 6*T1^7*T2 + 15*T2^2 - 41*T1*T2^2 + 23*T1^2*T2^2 + 
      7*T1^3*T2^2 - 81*T1^4*T2^2 + 7*T1^5*T2^2 + 23*T1^6*T2^2 - 
      41*T1^7*T2^2 + 15*T1^8*T2^2 - 21*T2^3 + 27*T1*T2^3 + 7*T1^2*T2^3 + 
      82*T1^3*T2^3 + 47*T1^4*T2^3 + 47*T1^5*T2^3 + 82*T1^6*T2^3 + 
      7*T1^7*T2^3 + 27*T1^8*T2^3 - 21*T1^9*T2^3 + 15*T2^4 + 27*T1*T2^4 - 
      81*T1^2*T2^4 + 47*T1^3*T2^4 - 679*T1^4*T2^4 + 615*T1^5*T2^4 - 
      679*T1^6*T2^4 + 47*T1^7*T2^4 - 81*T1^8*T2^4 + 27*T1^9*T2^4 + 
      15*T1^10*T2^4 - 6*T2^5 - 41*T1*T2^5 + 7*T1^2*T2^5 + 47*T1^3*T2^5 + 
      615*T1^4*T2^5 + 6*T1^5*T2^5 + 6*T1^6*T2^5 + 615*T1^7*T2^5 + 
      47*T1^8*T2^5 + 7*T1^9*T2^5 - 41*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
      26*T1*T2^6 + 23*T1^2*T2^6 + 82*T1^3*T2^6 - 679*T1^4*T2^6 + 
      6*T1^5*T2^6 - 420*T1^6*T2^6 + 6*T1^7*T2^6 - 679*T1^8*T2^6 + 
      82*T1^9*T2^6 + 23*T1^10*T2^6 + 26*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
      41*T1^2*T2^7 + 7*T1^3*T2^7 + 47*T1^4*T2^7 + 615*T1^5*T2^7 + 
      6*T1^6*T2^7 + 6*T1^7*T2^7 + 615*T1^8*T2^7 + 47*T1^9*T2^7 + 
      7*T1^10*T2^7 - 41*T1^11*T2^7 - 6*T1^12*T2^7 + 15*T1^2*T2^8 + 
      27*T1^3*T2^8 - 81*T1^4*T2^8 + 47*T1^5*T2^8 - 679*T1^6*T2^8 + 
      615*T1^7*T2^8 - 679*T1^8*T2^8 + 47*T1^9*T2^8 - 81*T1^10*T2^8 + 
      27*T1^11*T2^8 + 15*T1^12*T2^8 - 21*T1^3*T2^9 + 27*T1^4*T2^9 + 
      7*T1^5*T2^9 + 82*T1^6*T2^9 + 47*T1^7*T2^9 + 47*T1^8*T2^9 + 
      82*T1^9*T2^9 + 7*T1^10*T2^9 + 27*T1^11*T2^9 - 21*T1^12*T2^9 + 
      15*T1^4*T2^10 - 41*T1^5*T2^10 + 23*T1^6*T2^10 + 7*T1^7*T2^10 - 
      81*T1^8*T2^10 + 7*T1^9*T2^10 + 23*T1^10*T2^10 - 41*T1^11*T2^10 + 
      15*T1^12*T2^10 - 6*T1^5*T2^11 + 26*T1^6*T2^11 - 41*T1^7*T2^11 + 
      27*T1^8*T2^11 + 27*T1^9*T2^11 - 41*T1^10*T2^11 + 26*T1^11*T2^11 - 
      6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 15*T1^8*T2^12 - 
      21*T1^9*T2^12 + 15*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, 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), -((1 - 6*T1 + 16*T1^2 - 25*T1^3 + 27*T1^4 - 25*T1^5 + 16*T1^6 - 
      6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 60*T1^2*T2 + 54*T1^3*T2 - 
      12*T1^4*T2 - 12*T1^5*T2 + 54*T1^6*T2 - 60*T1^7*T2 + 30*T1^8*T2 - 
      6*T1^9*T2 + 16*T2^2 - 60*T1*T2^2 + 55*T1^2*T2^2 + 87*T1^3*T2^2 - 
      231*T1^4*T2^2 + 201*T1^5*T2^2 - 231*T1^6*T2^2 + 87*T1^7*T2^2 + 
      55*T1^8*T2^2 - 60*T1^9*T2^2 + 16*T1^10*T2^2 - 25*T2^3 + 54*T1*T2^3 + 
      87*T1^2*T2^3 - 392*T1^3*T2^3 + 394*T1^4*T2^3 - 13*T1^5*T2^3 - 
      13*T1^6*T2^3 + 394*T1^7*T2^3 - 392*T1^8*T2^3 + 87*T1^9*T2^3 + 
      54*T1^10*T2^3 - 25*T1^11*T2^3 + 27*T2^4 - 12*T1*T2^4 - 231*T1^2*T2^4 + 
      394*T1^3*T2^4 + 175*T1^4*T2^4 - 858*T1^5*T2^4 + 561*T1^6*T2^4 - 
      858*T1^7*T2^4 + 175*T1^8*T2^4 + 394*T1^9*T2^4 - 231*T1^10*T2^4 - 
      12*T1^11*T2^4 + 27*T1^12*T2^4 - 25*T2^5 - 12*T1*T2^5 + 201*T1^2*T2^5 - 
      13*T1^3*T2^5 - 858*T1^4*T2^5 + 1018*T1^5*T2^5 + 28*T1^6*T2^5 + 
      28*T1^7*T2^5 + 1018*T1^8*T2^5 - 858*T1^9*T2^5 - 13*T1^10*T2^5 + 
      201*T1^11*T2^5 - 12*T1^12*T2^5 - 25*T1^13*T2^5 + 16*T2^6 + 54*T1*T2^6 - 
      231*T1^2*T2^6 - 13*T1^3*T2^6 + 561*T1^4*T2^6 + 28*T1^5*T2^6 - 
      1287*T1^6*T2^6 + 971*T1^7*T2^6 - 1287*T1^8*T2^6 + 28*T1^9*T2^6 + 
      561*T1^10*T2^6 - 13*T1^11*T2^6 - 231*T1^12*T2^6 + 54*T1^13*T2^6 + 
      16*T1^14*T2^6 - 6*T2^7 - 60*T1*T2^7 + 87*T1^2*T2^7 + 394*T1^3*T2^7 - 
      858*T1^4*T2^7 + 28*T1^5*T2^7 + 971*T1^6*T2^7 - 186*T1^7*T2^7 - 
      186*T1^8*T2^7 + 971*T1^9*T2^7 + 28*T1^10*T2^7 - 858*T1^11*T2^7 + 
      394*T1^12*T2^7 + 87*T1^13*T2^7 - 60*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 
      30*T1*T2^8 + 55*T1^2*T2^8 - 392*T1^3*T2^8 + 175*T1^4*T2^8 + 
      1018*T1^5*T2^8 - 1287*T1^6*T2^8 - 186*T1^7*T2^8 + 468*T1^8*T2^8 - 
      186*T1^9*T2^8 - 1287*T1^10*T2^8 + 1018*T1^11*T2^8 + 175*T1^12*T2^8 - 
      392*T1^13*T2^8 + 55*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 
      6*T1*T2^9 - 60*T1^2*T2^9 + 87*T1^3*T2^9 + 394*T1^4*T2^9 - 
      858*T1^5*T2^9 + 28*T1^6*T2^9 + 971*T1^7*T2^9 - 186*T1^8*T2^9 - 
      186*T1^9*T2^9 + 971*T1^10*T2^9 + 28*T1^11*T2^9 - 858*T1^12*T2^9 + 
      394*T1^13*T2^9 + 87*T1^14*T2^9 - 60*T1^15*T2^9 - 6*T1^16*T2^9 + 
      16*T1^2*T2^10 + 54*T1^3*T2^10 - 231*T1^4*T2^10 - 13*T1^5*T2^10 + 
      561*T1^6*T2^10 + 28*T1^7*T2^10 - 1287*T1^8*T2^10 + 971*T1^9*T2^10 - 
      1287*T1^10*T2^10 + 28*T1^11*T2^10 + 561*T1^12*T2^10 - 13*T1^13*T2^10 - 
      231*T1^14*T2^10 + 54*T1^15*T2^10 + 16*T1^16*T2^10 - 25*T1^3*T2^11 - 
      12*T1^4*T2^11 + 201*T1^5*T2^11 - 13*T1^6*T2^11 - 858*T1^7*T2^11 + 
      1018*T1^8*T2^11 + 28*T1^9*T2^11 + 28*T1^10*T2^11 + 1018*T1^11*T2^11 - 
      858*T1^12*T2^11 - 13*T1^13*T2^11 + 201*T1^14*T2^11 - 12*T1^15*T2^11 - 
      25*T1^16*T2^11 + 27*T1^4*T2^12 - 12*T1^5*T2^12 - 231*T1^6*T2^12 + 
      394*T1^7*T2^12 + 175*T1^8*T2^12 - 858*T1^9*T2^12 + 561*T1^10*T2^12 - 
      858*T1^11*T2^12 + 175*T1^12*T2^12 + 394*T1^13*T2^12 - 231*T1^14*T2^12 - 
      12*T1^15*T2^12 + 27*T1^16*T2^12 - 25*T1^5*T2^13 + 54*T1^6*T2^13 + 
      87*T1^7*T2^13 - 392*T1^8*T2^13 + 394*T1^9*T2^13 - 13*T1^10*T2^13 - 
      13*T1^11*T2^13 + 394*T1^12*T2^13 - 392*T1^13*T2^13 + 87*T1^14*T2^13 + 
      54*T1^15*T2^13 - 25*T1^16*T2^13 + 16*T1^6*T2^14 - 60*T1^7*T2^14 + 
      55*T1^8*T2^14 + 87*T1^9*T2^14 - 231*T1^10*T2^14 + 201*T1^11*T2^14 - 
      231*T1^12*T2^14 + 87*T1^13*T2^14 + 55*T1^14*T2^14 - 60*T1^15*T2^14 + 
      16*T1^16*T2^14 - 6*T1^7*T2^15 + 30*T1^8*T2^15 - 60*T1^9*T2^15 + 
      54*T1^10*T2^15 - 12*T1^11*T2^15 - 12*T1^12*T2^15 + 54*T1^13*T2^15 - 
      60*T1^14*T2^15 + 30*T1^15*T2^15 - 6*T1^16*T2^15 + T1^8*T2^16 - 
      6*T1^9*T2^16 + 16*T1^10*T2^16 - 25*T1^11*T2^16 + 27*T1^12*T2^16 - 
      25*T1^13*T2^16 + 16*T1^14*T2^16 - 6*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, NonAlternating, 34] -> 
  {(2 - 8*T + 13*T^2 - 8*T^3 + 2*T^4)/T^2, 
   -((1 - 5*T1 + 13*T1^2 - 5*T1^3 + T1^4 - 5*T2 + 14*T1*T2 - 30*T1^2*T2 - 
      30*T1^3*T2 + 14*T1^4*T2 - 5*T1^5*T2 + 13*T2^2 - 30*T1*T2^2 + 
      68*T1^2*T2^2 + 50*T1^3*T2^2 + 68*T1^4*T2^2 - 30*T1^5*T2^2 + 
      13*T1^6*T2^2 - 5*T2^3 - 30*T1*T2^3 + 50*T1^2*T2^3 - 170*T1^3*T2^3 - 
      170*T1^4*T2^3 + 50*T1^5*T2^3 - 30*T1^6*T2^3 - 5*T1^7*T2^3 + T2^4 + 
      14*T1*T2^4 + 68*T1^2*T2^4 - 170*T1^3*T2^4 + 564*T1^4*T2^4 - 
      170*T1^5*T2^4 + 68*T1^6*T2^4 + 14*T1^7*T2^4 + T1^8*T2^4 - 5*T1*T2^5 - 
      30*T1^2*T2^5 + 50*T1^3*T2^5 - 170*T1^4*T2^5 - 170*T1^5*T2^5 + 
      50*T1^6*T2^5 - 30*T1^7*T2^5 - 5*T1^8*T2^5 + 13*T1^2*T2^6 - 
      30*T1^3*T2^6 + 68*T1^4*T2^6 + 50*T1^5*T2^6 + 68*T1^6*T2^6 - 
      30*T1^7*T2^6 + 13*T1^8*T2^6 - 5*T1^3*T2^7 + 14*T1^4*T2^7 - 
      30*T1^5*T2^7 - 30*T1^6*T2^7 + 14*T1^7*T2^7 - 5*T1^8*T2^7 + T1^4*T2^8 - 
      5*T1^5*T2^8 + 13*T1^6*T2^8 - 5*T1^7*T2^8 + T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, NonAlternating, 35] -> 
  {-((1 - 6*T + 16*T^2 - 23*T^3 + 16*T^4 - 6*T^5 + T^6)/T^3), 
   (T1 - 2*T1^2 - 2*T1^3 + T1^4 + T2 - 13*T1*T2 + 27*T1^2*T2 - 11*T1^3*T2 + 
     27*T1^4*T2 - 13*T1^5*T2 + T1^6*T2 - 2*T2^2 + 27*T1*T2^2 - 32*T1^2*T2^2 - 
     32*T1^3*T2^2 - 32*T1^4*T2^2 - 32*T1^5*T2^2 + 27*T1^6*T2^2 - 
     2*T1^7*T2^2 - 2*T2^3 - 11*T1*T2^3 - 32*T1^2*T2^3 + 116*T1^3*T2^3 + 
     42*T1^4*T2^3 + 116*T1^5*T2^3 - 32*T1^6*T2^3 - 11*T1^7*T2^3 - 
     2*T1^8*T2^3 + T2^4 + 27*T1*T2^4 - 32*T1^2*T2^4 + 42*T1^3*T2^4 - 
     182*T1^4*T2^4 - 182*T1^5*T2^4 + 42*T1^6*T2^4 - 32*T1^7*T2^4 + 
     27*T1^8*T2^4 + T1^9*T2^4 - 13*T1*T2^5 - 32*T1^2*T2^5 + 116*T1^3*T2^5 - 
     182*T1^4*T2^5 + 552*T1^5*T2^5 - 182*T1^6*T2^5 + 116*T1^7*T2^5 - 
     32*T1^8*T2^5 - 13*T1^9*T2^5 + T1*T2^6 + 27*T1^2*T2^6 - 32*T1^3*T2^6 + 
     42*T1^4*T2^6 - 182*T1^5*T2^6 - 182*T1^6*T2^6 + 42*T1^7*T2^6 - 
     32*T1^8*T2^6 + 27*T1^9*T2^6 + T1^10*T2^6 - 2*T1^2*T2^7 - 11*T1^3*T2^7 - 
     32*T1^4*T2^7 + 116*T1^5*T2^7 + 42*T1^6*T2^7 + 116*T1^7*T2^7 - 
     32*T1^8*T2^7 - 11*T1^9*T2^7 - 2*T1^10*T2^7 - 2*T1^3*T2^8 + 
     27*T1^4*T2^8 - 32*T1^5*T2^8 - 32*T1^6*T2^8 - 32*T1^7*T2^8 - 
     32*T1^8*T2^8 + 27*T1^9*T2^8 - 2*T1^10*T2^8 + T1^4*T2^9 - 13*T1^5*T2^9 + 
     27*T1^6*T2^9 - 11*T1^7*T2^9 + 27*T1^8*T2^9 - 13*T1^9*T2^9 + T1^10*T2^9 + 
     T1^6*T2^10 - 2*T1^7*T2^10 - 2*T1^8*T2^10 + T1^9*T2^10)/(T1^5*T2^5)}, 
 Knot[12, NonAlternating, 36] -> 
  {(1 - 8*T + 22*T^2 - 29*T^3 + 22*T^4 - 8*T^5 + T^6)/T^3, 
   -((1 - 8*T1 + 22*T1^2 - 29*T1^3 + 22*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
      58*T1*T2 - 116*T1^2*T2 + 56*T1^3*T2 + 56*T1^4*T2 - 116*T1^5*T2 + 
      58*T1^6*T2 - 8*T1^7*T2 + 22*T2^2 - 116*T1*T2^2 - 30*T1^2*T2^2 + 
      693*T1^3*T2^2 - 994*T1^4*T2^2 + 693*T1^5*T2^2 - 30*T1^6*T2^2 - 
      116*T1^7*T2^2 + 22*T1^8*T2^2 - 29*T2^3 + 56*T1*T2^3 + 693*T1^2*T2^3 - 
      1874*T1^3*T2^3 + 883*T1^4*T2^3 + 883*T1^5*T2^3 - 1874*T1^6*T2^3 + 
      693*T1^7*T2^3 + 56*T1^8*T2^3 - 29*T1^9*T2^3 + 22*T2^4 + 56*T1*T2^4 - 
      994*T1^2*T2^4 + 883*T1^3*T2^4 + 3005*T1^4*T2^4 - 4689*T1^5*T2^4 + 
      3005*T1^6*T2^4 + 883*T1^7*T2^4 - 994*T1^8*T2^4 + 56*T1^9*T2^4 + 
      22*T1^10*T2^4 - 8*T2^5 - 116*T1*T2^5 + 693*T1^2*T2^5 + 883*T1^3*T2^5 - 
      4689*T1^4*T2^5 + 2244*T1^5*T2^5 + 2244*T1^6*T2^5 - 4689*T1^7*T2^5 + 
      883*T1^8*T2^5 + 693*T1^9*T2^5 - 116*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
      58*T1*T2^6 - 30*T1^2*T2^6 - 1874*T1^3*T2^6 + 3005*T1^4*T2^6 + 
      2244*T1^5*T2^6 - 4512*T1^6*T2^6 + 2244*T1^7*T2^6 + 3005*T1^8*T2^6 - 
      1874*T1^9*T2^6 - 30*T1^10*T2^6 + 58*T1^11*T2^6 + T1^12*T2^6 - 
      8*T1*T2^7 - 116*T1^2*T2^7 + 693*T1^3*T2^7 + 883*T1^4*T2^7 - 
      4689*T1^5*T2^7 + 2244*T1^6*T2^7 + 2244*T1^7*T2^7 - 4689*T1^8*T2^7 + 
      883*T1^9*T2^7 + 693*T1^10*T2^7 - 116*T1^11*T2^7 - 8*T1^12*T2^7 + 
      22*T1^2*T2^8 + 56*T1^3*T2^8 - 994*T1^4*T2^8 + 883*T1^5*T2^8 + 
      3005*T1^6*T2^8 - 4689*T1^7*T2^8 + 3005*T1^8*T2^8 + 883*T1^9*T2^8 - 
      994*T1^10*T2^8 + 56*T1^11*T2^8 + 22*T1^12*T2^8 - 29*T1^3*T2^9 + 
      56*T1^4*T2^9 + 693*T1^5*T2^9 - 1874*T1^6*T2^9 + 883*T1^7*T2^9 + 
      883*T1^8*T2^9 - 1874*T1^9*T2^9 + 693*T1^10*T2^9 + 56*T1^11*T2^9 - 
      29*T1^12*T2^9 + 22*T1^4*T2^10 - 116*T1^5*T2^10 - 30*T1^6*T2^10 + 
      693*T1^7*T2^10 - 994*T1^8*T2^10 + 693*T1^9*T2^10 - 30*T1^10*T2^10 - 
      116*T1^11*T2^10 + 22*T1^12*T2^10 - 8*T1^5*T2^11 + 58*T1^6*T2^11 - 
      116*T1^7*T2^11 + 56*T1^8*T2^11 + 56*T1^9*T2^11 - 116*T1^10*T2^11 + 
      58*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
      22*T1^8*T2^12 - 29*T1^9*T2^12 + 22*T1^10*T2^12 - 8*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   (2 - 10*T1 + 16*T1^2 - 10*T1^3 + 6*T1^4 - 10*T1^5 + 16*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 30*T1^2*T2 - 30*T1^3*T2 + 20*T1^4*T2 + 
     20*T1^5*T2 - 30*T1^6*T2 - 30*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     16*T2^2 - 30*T1*T2^2 - 104*T1^2*T2^2 + 234*T1^3*T2^2 - 69*T1^4*T2^2 - 
     14*T1^5*T2^2 - 69*T1^6*T2^2 + 234*T1^7*T2^2 - 104*T1^8*T2^2 - 
     30*T1^9*T2^2 + 16*T1^10*T2^2 - 10*T2^3 - 30*T1*T2^3 + 234*T1^2*T2^3 - 
     188*T1^3*T2^3 - 219*T1^4*T2^3 + 130*T1^5*T2^3 + 130*T1^6*T2^3 - 
     219*T1^7*T2^3 - 188*T1^8*T2^3 + 234*T1^9*T2^3 - 30*T1^10*T2^3 - 
     10*T1^11*T2^3 + 6*T2^4 + 20*T1*T2^4 - 69*T1^2*T2^4 - 219*T1^3*T2^4 + 
     528*T1^4*T2^4 - 150*T1^5*T2^4 - 34*T1^6*T2^4 - 150*T1^7*T2^4 + 
     528*T1^8*T2^4 - 219*T1^9*T2^4 - 69*T1^10*T2^4 + 20*T1^11*T2^4 + 
     6*T1^12*T2^4 - 10*T2^5 + 20*T1*T2^5 - 14*T1^2*T2^5 + 130*T1^3*T2^5 - 
     150*T1^4*T2^5 - 140*T1^5*T2^5 + 88*T1^6*T2^5 + 88*T1^7*T2^5 - 
     140*T1^8*T2^5 - 150*T1^9*T2^5 + 130*T1^10*T2^5 - 14*T1^11*T2^5 + 
     20*T1^12*T2^5 - 10*T1^13*T2^5 + 16*T2^6 - 30*T1*T2^6 - 69*T1^2*T2^6 + 
     130*T1^3*T2^6 - 34*T1^4*T2^6 + 88*T1^5*T2^6 - 79*T1^6*T2^6 + 
     53*T1^7*T2^6 - 79*T1^8*T2^6 + 88*T1^9*T2^6 - 34*T1^10*T2^6 + 
     130*T1^11*T2^6 - 69*T1^12*T2^6 - 30*T1^13*T2^6 + 16*T1^14*T2^6 - 
     10*T2^7 - 30*T1*T2^7 + 234*T1^2*T2^7 - 219*T1^3*T2^7 - 150*T1^4*T2^7 + 
     88*T1^5*T2^7 + 53*T1^6*T2^7 - 2*T1^7*T2^7 - 2*T1^8*T2^7 + 53*T1^9*T2^7 + 
     88*T1^10*T2^7 - 150*T1^11*T2^7 - 219*T1^12*T2^7 + 234*T1^13*T2^7 - 
     30*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 - 104*T1^2*T2^8 - 
     188*T1^3*T2^8 + 528*T1^4*T2^8 - 140*T1^5*T2^8 - 79*T1^6*T2^8 - 
     2*T1^7*T2^8 - 48*T1^8*T2^8 - 2*T1^9*T2^8 - 79*T1^10*T2^8 - 
     140*T1^11*T2^8 + 528*T1^12*T2^8 - 188*T1^13*T2^8 - 104*T1^14*T2^8 + 
     40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 30*T1^2*T2^9 + 
     234*T1^3*T2^9 - 219*T1^4*T2^9 - 150*T1^5*T2^9 + 88*T1^6*T2^9 + 
     53*T1^7*T2^9 - 2*T1^8*T2^9 - 2*T1^9*T2^9 + 53*T1^10*T2^9 + 
     88*T1^11*T2^9 - 150*T1^12*T2^9 - 219*T1^13*T2^9 + 234*T1^14*T2^9 - 
     30*T1^15*T2^9 - 10*T1^16*T2^9 + 16*T1^2*T2^10 - 30*T1^3*T2^10 - 
     69*T1^4*T2^10 + 130*T1^5*T2^10 - 34*T1^6*T2^10 + 88*T1^7*T2^10 - 
     79*T1^8*T2^10 + 53*T1^9*T2^10 - 79*T1^10*T2^10 + 88*T1^11*T2^10 - 
     34*T1^12*T2^10 + 130*T1^13*T2^10 - 69*T1^14*T2^10 - 30*T1^15*T2^10 + 
     16*T1^16*T2^10 - 10*T1^3*T2^11 + 20*T1^4*T2^11 - 14*T1^5*T2^11 + 
     130*T1^6*T2^11 - 150*T1^7*T2^11 - 140*T1^8*T2^11 + 88*T1^9*T2^11 + 
     88*T1^10*T2^11 - 140*T1^11*T2^11 - 150*T1^12*T2^11 + 130*T1^13*T2^11 - 
     14*T1^14*T2^11 + 20*T1^15*T2^11 - 10*T1^16*T2^11 + 6*T1^4*T2^12 + 
     20*T1^5*T2^12 - 69*T1^6*T2^12 - 219*T1^7*T2^12 + 528*T1^8*T2^12 - 
     150*T1^9*T2^12 - 34*T1^10*T2^12 - 150*T1^11*T2^12 + 528*T1^12*T2^12 - 
     219*T1^13*T2^12 - 69*T1^14*T2^12 + 20*T1^15*T2^12 + 6*T1^16*T2^12 - 
     10*T1^5*T2^13 - 30*T1^6*T2^13 + 234*T1^7*T2^13 - 188*T1^8*T2^13 - 
     219*T1^9*T2^13 + 130*T1^10*T2^13 + 130*T1^11*T2^13 - 219*T1^12*T2^13 - 
     188*T1^13*T2^13 + 234*T1^14*T2^13 - 30*T1^15*T2^13 - 10*T1^16*T2^13 + 
     16*T1^6*T2^14 - 30*T1^7*T2^14 - 104*T1^8*T2^14 + 234*T1^9*T2^14 - 
     69*T1^10*T2^14 - 14*T1^11*T2^14 - 69*T1^12*T2^14 + 234*T1^13*T2^14 - 
     104*T1^14*T2^14 - 30*T1^15*T2^14 + 16*T1^16*T2^14 - 10*T1^7*T2^15 + 
     40*T1^8*T2^15 - 30*T1^9*T2^15 - 30*T1^10*T2^15 + 20*T1^11*T2^15 + 
     20*T1^12*T2^15 - 30*T1^13*T2^15 - 30*T1^14*T2^15 + 40*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)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 38] -> 
  {(1 - 6*T + 16*T^2 - 21*T^3 + 16*T^4 - 6*T^5 + T^6)/T^3, 
   -((1 - 6*T1 + 16*T1^2 - 21*T1^3 + 16*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
      30*T1*T2 - 59*T1^2*T2 + 30*T1^3*T2 + 30*T1^4*T2 - 59*T1^5*T2 + 
      30*T1^6*T2 - 6*T1^7*T2 + 16*T2^2 - 59*T1*T2^2 + 43*T1^2*T2^2 + 
      160*T1^3*T2^2 - 275*T1^4*T2^2 + 160*T1^5*T2^2 + 43*T1^6*T2^2 - 
      59*T1^7*T2^2 + 16*T1^8*T2^2 - 21*T2^3 + 30*T1*T2^3 + 160*T1^2*T2^3 - 
      522*T1^3*T2^3 + 293*T1^4*T2^3 + 293*T1^5*T2^3 - 522*T1^6*T2^3 + 
      160*T1^7*T2^3 + 30*T1^8*T2^3 - 21*T1^9*T2^3 + 16*T2^4 + 30*T1*T2^4 - 
      275*T1^2*T2^4 + 293*T1^3*T2^4 + 710*T1^4*T2^4 - 1336*T1^5*T2^4 + 
      710*T1^6*T2^4 + 293*T1^7*T2^4 - 275*T1^8*T2^4 + 30*T1^9*T2^4 + 
      16*T1^10*T2^4 - 6*T2^5 - 59*T1*T2^5 + 160*T1^2*T2^5 + 293*T1^3*T2^5 - 
      1336*T1^4*T2^5 + 812*T1^5*T2^5 + 812*T1^6*T2^5 - 1336*T1^7*T2^5 + 
      293*T1^8*T2^5 + 160*T1^9*T2^5 - 59*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
      30*T1*T2^6 + 43*T1^2*T2^6 - 522*T1^3*T2^6 + 710*T1^4*T2^6 + 
      812*T1^5*T2^6 - 1860*T1^6*T2^6 + 812*T1^7*T2^6 + 710*T1^8*T2^6 - 
      522*T1^9*T2^6 + 43*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 
      6*T1*T2^7 - 59*T1^2*T2^7 + 160*T1^3*T2^7 + 293*T1^4*T2^7 - 
      1336*T1^5*T2^7 + 812*T1^6*T2^7 + 812*T1^7*T2^7 - 1336*T1^8*T2^7 + 
      293*T1^9*T2^7 + 160*T1^10*T2^7 - 59*T1^11*T2^7 - 6*T1^12*T2^7 + 
      16*T1^2*T2^8 + 30*T1^3*T2^8 - 275*T1^4*T2^8 + 293*T1^5*T2^8 + 
      710*T1^6*T2^8 - 1336*T1^7*T2^8 + 710*T1^8*T2^8 + 293*T1^9*T2^8 - 
      275*T1^10*T2^8 + 30*T1^11*T2^8 + 16*T1^12*T2^8 - 21*T1^3*T2^9 + 
      30*T1^4*T2^9 + 160*T1^5*T2^9 - 522*T1^6*T2^9 + 293*T1^7*T2^9 + 
      293*T1^8*T2^9 - 522*T1^9*T2^9 + 160*T1^10*T2^9 + 30*T1^11*T2^9 - 
      21*T1^12*T2^9 + 16*T1^4*T2^10 - 59*T1^5*T2^10 + 43*T1^6*T2^10 + 
      160*T1^7*T2^10 - 275*T1^8*T2^10 + 160*T1^9*T2^10 + 43*T1^10*T2^10 - 
      59*T1^11*T2^10 + 16*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 
      59*T1^7*T2^11 + 30*T1^8*T2^11 + 30*T1^9*T2^11 - 59*T1^10*T2^11 + 
      30*T1^11*T2^11 - 6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 
      16*T1^8*T2^12 - 21*T1^9*T2^12 + 16*T1^10*T2^12 - 6*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 39] -> 
  {-((1 - 8*T + 22*T^2 - 31*T^3 + 22*T^4 - 8*T^5 + T^6)/T^3), 
   (2 - 4*T1 + 4*T1^2 + 4*T1^3 - 4*T1^4 + 2*T1^5 - 4*T2 - 24*T1*T2 + 
     88*T1^2*T2 - 160*T1^3*T2 + 88*T1^4*T2 - 24*T1^5*T2 - 4*T1^6*T2 + 
     4*T2^2 + 88*T1*T2^2 - 190*T1^2*T2^2 + 192*T1^3*T2^2 + 192*T1^4*T2^2 - 
     190*T1^5*T2^2 + 88*T1^6*T2^2 + 4*T1^7*T2^2 + 4*T2^3 - 160*T1*T2^3 + 
     192*T1^2*T2^3 - 41*T1^3*T2^3 - 525*T1^4*T2^3 - 41*T1^5*T2^3 + 
     192*T1^6*T2^3 - 160*T1^7*T2^3 + 4*T1^8*T2^3 - 4*T2^4 + 88*T1*T2^4 + 
     192*T1^2*T2^4 - 525*T1^3*T2^4 + 742*T1^4*T2^4 + 742*T1^5*T2^4 - 
     525*T1^6*T2^4 + 192*T1^7*T2^4 + 88*T1^8*T2^4 - 4*T1^9*T2^4 + 2*T2^5 - 
     24*T1*T2^5 - 190*T1^2*T2^5 - 41*T1^3*T2^5 + 742*T1^4*T2^5 - 
     2184*T1^5*T2^5 + 742*T1^6*T2^5 - 41*T1^7*T2^5 - 190*T1^8*T2^5 - 
     24*T1^9*T2^5 + 2*T1^10*T2^5 - 4*T1*T2^6 + 88*T1^2*T2^6 + 192*T1^3*T2^6 - 
     525*T1^4*T2^6 + 742*T1^5*T2^6 + 742*T1^6*T2^6 - 525*T1^7*T2^6 + 
     192*T1^8*T2^6 + 88*T1^9*T2^6 - 4*T1^10*T2^6 + 4*T1^2*T2^7 - 
     160*T1^3*T2^7 + 192*T1^4*T2^7 - 41*T1^5*T2^7 - 525*T1^6*T2^7 - 
     41*T1^7*T2^7 + 192*T1^8*T2^7 - 160*T1^9*T2^7 + 4*T1^10*T2^7 + 
     4*T1^3*T2^8 + 88*T1^4*T2^8 - 190*T1^5*T2^8 + 192*T1^6*T2^8 + 
     192*T1^7*T2^8 - 190*T1^8*T2^8 + 88*T1^9*T2^8 + 4*T1^10*T2^8 - 
     4*T1^4*T2^9 - 24*T1^5*T2^9 + 88*T1^6*T2^9 - 160*T1^7*T2^9 + 
     88*T1^8*T2^9 - 24*T1^9*T2^9 - 4*T1^10*T2^9 + 2*T1^5*T2^10 - 
     4*T1^6*T2^10 + 4*T1^7*T2^10 + 4*T1^8*T2^10 - 4*T1^9*T2^10 + 
     2*T1^10*T2^10)/(T1^5*T2^5)}, 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), -((1 - 5*T1 + 10*T1^2 - 11*T1^3 + 9*T1^4 - 11*T1^5 + 10*T1^6 - 
      5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 25*T1^2*T2 + 5*T1^3*T2 + 10*T1^4*T2 + 
      10*T1^5*T2 + 5*T1^6*T2 - 25*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
      10*T2^2 - 25*T1*T2^2 - 13*T1^2*T2^2 + 84*T1^3*T2^2 - 78*T1^4*T2^2 - 
      T1^5*T2^2 - 78*T1^6*T2^2 + 84*T1^7*T2^2 - 13*T1^8*T2^2 - 25*T1^9*T2^2 + 
      10*T1^10*T2^2 - 11*T2^3 + 5*T1*T2^3 + 84*T1^2*T2^3 - 128*T1^3*T2^3 + 
      3*T1^4*T2^3 + 107*T1^5*T2^3 + 107*T1^6*T2^3 + 3*T1^7*T2^3 - 
      128*T1^8*T2^3 + 84*T1^9*T2^3 + 5*T1^10*T2^3 - 11*T1^11*T2^3 + 9*T2^4 + 
      10*T1*T2^4 - 78*T1^2*T2^4 + 3*T1^3*T2^4 + 187*T1^4*T2^4 - 
      163*T1^5*T2^4 - 137*T1^6*T2^4 - 163*T1^7*T2^4 + 187*T1^8*T2^4 + 
      3*T1^9*T2^4 - 78*T1^10*T2^4 + 10*T1^11*T2^4 + 9*T1^12*T2^4 - 11*T2^5 + 
      10*T1*T2^5 - T1^2*T2^5 + 107*T1^3*T2^5 - 163*T1^4*T2^5 - 20*T1^5*T2^5 + 
      181*T1^6*T2^5 + 181*T1^7*T2^5 - 20*T1^8*T2^5 - 163*T1^9*T2^5 + 
      107*T1^10*T2^5 - T1^11*T2^5 + 10*T1^12*T2^5 - 11*T1^13*T2^5 + 10*T2^6 + 
      5*T1*T2^6 - 78*T1^2*T2^6 + 107*T1^3*T2^6 - 137*T1^4*T2^6 + 
      181*T1^5*T2^6 - 143*T1^6*T2^6 - T1^7*T2^6 - 143*T1^8*T2^6 + 
      181*T1^9*T2^6 - 137*T1^10*T2^6 + 107*T1^11*T2^6 - 78*T1^12*T2^6 + 
      5*T1^13*T2^6 + 10*T1^14*T2^6 - 5*T2^7 - 25*T1*T2^7 + 84*T1^2*T2^7 + 
      3*T1^3*T2^7 - 163*T1^4*T2^7 + 181*T1^5*T2^7 - T1^6*T2^7 - 
      74*T1^7*T2^7 - 74*T1^8*T2^7 - T1^9*T2^7 + 181*T1^10*T2^7 - 
      163*T1^11*T2^7 + 3*T1^12*T2^7 + 84*T1^13*T2^7 - 25*T1^14*T2^7 - 
      5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 - 13*T1^2*T2^8 - 128*T1^3*T2^8 + 
      187*T1^4*T2^8 - 20*T1^5*T2^8 - 143*T1^6*T2^8 - 74*T1^7*T2^8 + 
      384*T1^8*T2^8 - 74*T1^9*T2^8 - 143*T1^10*T2^8 - 20*T1^11*T2^8 + 
      187*T1^12*T2^8 - 128*T1^13*T2^8 - 13*T1^14*T2^8 + 20*T1^15*T2^8 + 
      T1^16*T2^8 - 5*T1*T2^9 - 25*T1^2*T2^9 + 84*T1^3*T2^9 + 3*T1^4*T2^9 - 
      163*T1^5*T2^9 + 181*T1^6*T2^9 - T1^7*T2^9 - 74*T1^8*T2^9 - 
      74*T1^9*T2^9 - T1^10*T2^9 + 181*T1^11*T2^9 - 163*T1^12*T2^9 + 
      3*T1^13*T2^9 + 84*T1^14*T2^9 - 25*T1^15*T2^9 - 5*T1^16*T2^9 + 
      10*T1^2*T2^10 + 5*T1^3*T2^10 - 78*T1^4*T2^10 + 107*T1^5*T2^10 - 
      137*T1^6*T2^10 + 181*T1^7*T2^10 - 143*T1^8*T2^10 - T1^9*T2^10 - 
      143*T1^10*T2^10 + 181*T1^11*T2^10 - 137*T1^12*T2^10 + 107*T1^13*T2^10 - 
      78*T1^14*T2^10 + 5*T1^15*T2^10 + 10*T1^16*T2^10 - 11*T1^3*T2^11 + 
      10*T1^4*T2^11 - T1^5*T2^11 + 107*T1^6*T2^11 - 163*T1^7*T2^11 - 
      20*T1^8*T2^11 + 181*T1^9*T2^11 + 181*T1^10*T2^11 - 20*T1^11*T2^11 - 
      163*T1^12*T2^11 + 107*T1^13*T2^11 - T1^14*T2^11 + 10*T1^15*T2^11 - 
      11*T1^16*T2^11 + 9*T1^4*T2^12 + 10*T1^5*T2^12 - 78*T1^6*T2^12 + 
      3*T1^7*T2^12 + 187*T1^8*T2^12 - 163*T1^9*T2^12 - 137*T1^10*T2^12 - 
      163*T1^11*T2^12 + 187*T1^12*T2^12 + 3*T1^13*T2^12 - 78*T1^14*T2^12 + 
      10*T1^15*T2^12 + 9*T1^16*T2^12 - 11*T1^5*T2^13 + 5*T1^6*T2^13 + 
      84*T1^7*T2^13 - 128*T1^8*T2^13 + 3*T1^9*T2^13 + 107*T1^10*T2^13 + 
      107*T1^11*T2^13 + 3*T1^12*T2^13 - 128*T1^13*T2^13 + 84*T1^14*T2^13 + 
      5*T1^15*T2^13 - 11*T1^16*T2^13 + 10*T1^6*T2^14 - 25*T1^7*T2^14 - 
      13*T1^8*T2^14 + 84*T1^9*T2^14 - 78*T1^10*T2^14 - T1^11*T2^14 - 
      78*T1^12*T2^14 + 84*T1^13*T2^14 - 13*T1^14*T2^14 - 25*T1^15*T2^14 + 
      10*T1^16*T2^14 - 5*T1^7*T2^15 + 20*T1^8*T2^15 - 25*T1^9*T2^15 + 
      5*T1^10*T2^15 + 10*T1^11*T2^15 + 10*T1^12*T2^15 + 5*T1^13*T2^15 - 
      25*T1^14*T2^15 + 20*T1^15*T2^15 - 5*T1^16*T2^15 + T1^8*T2^16 - 
      5*T1^9*T2^16 + 10*T1^10*T2^16 - 11*T1^11*T2^16 + 9*T1^12*T2^16 - 
      11*T1^13*T2^16 + 10*T1^14*T2^16 - 5*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, NonAlternating, 41] -> 
  {(1 - 4*T + 4*T^2 - T^3 + 4*T^4 - 4*T^5 + T^6)/T^3, 
   -((1 - 4*T1 + 4*T1^2 - T1^3 + 4*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 12*T1*T2 - 
      12*T1^3*T2 - 12*T1^4*T2 + 12*T1^6*T2 - 4*T1^7*T2 + 4*T2^2 - 
      42*T1^2*T2^2 + 36*T1^3*T2^2 + 28*T1^4*T2^2 + 36*T1^5*T2^2 - 
      42*T1^6*T2^2 + 4*T1^8*T2^2 - T2^3 - 12*T1*T2^3 + 36*T1^2*T2^3 + 
      24*T1^3*T2^3 - 62*T1^4*T2^3 - 62*T1^5*T2^3 + 24*T1^6*T2^3 + 
      36*T1^7*T2^3 - 12*T1^8*T2^3 - T1^9*T2^3 + 4*T2^4 - 12*T1*T2^4 + 
      28*T1^2*T2^4 - 62*T1^3*T2^4 + 24*T1^4*T2^4 + 30*T1^5*T2^4 + 
      24*T1^6*T2^4 - 62*T1^7*T2^4 + 28*T1^8*T2^4 - 12*T1^9*T2^4 + 
      4*T1^10*T2^4 - 4*T2^5 + 36*T1^2*T2^5 - 62*T1^3*T2^5 + 30*T1^4*T2^5 + 
      38*T1^5*T2^5 + 38*T1^6*T2^5 + 30*T1^7*T2^5 - 62*T1^8*T2^5 + 
      36*T1^9*T2^5 - 4*T1^11*T2^5 + T2^6 + 12*T1*T2^6 - 42*T1^2*T2^6 + 
      24*T1^3*T2^6 + 24*T1^4*T2^6 + 38*T1^5*T2^6 - 228*T1^6*T2^6 + 
      38*T1^7*T2^6 + 24*T1^8*T2^6 + 24*T1^9*T2^6 - 42*T1^10*T2^6 + 
      12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 + 36*T1^3*T2^7 - 62*T1^4*T2^7 + 
      30*T1^5*T2^7 + 38*T1^6*T2^7 + 38*T1^7*T2^7 + 30*T1^8*T2^7 - 
      62*T1^9*T2^7 + 36*T1^10*T2^7 - 4*T1^12*T2^7 + 4*T1^2*T2^8 - 
      12*T1^3*T2^8 + 28*T1^4*T2^8 - 62*T1^5*T2^8 + 24*T1^6*T2^8 + 
      30*T1^7*T2^8 + 24*T1^8*T2^8 - 62*T1^9*T2^8 + 28*T1^10*T2^8 - 
      12*T1^11*T2^8 + 4*T1^12*T2^8 - T1^3*T2^9 - 12*T1^4*T2^9 + 
      36*T1^5*T2^9 + 24*T1^6*T2^9 - 62*T1^7*T2^9 - 62*T1^8*T2^9 + 
      24*T1^9*T2^9 + 36*T1^10*T2^9 - 12*T1^11*T2^9 - T1^12*T2^9 + 
      4*T1^4*T2^10 - 42*T1^6*T2^10 + 36*T1^7*T2^10 + 28*T1^8*T2^10 + 
      36*T1^9*T2^10 - 42*T1^10*T2^10 + 4*T1^12*T2^10 - 4*T1^5*T2^11 + 
      12*T1^6*T2^11 - 12*T1^8*T2^11 - 12*T1^9*T2^11 + 12*T1^11*T2^11 - 
      4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 4*T1^8*T2^12 - T1^9*T2^12 + 
      4*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 42] -> 
  {(1 - 6*T + 14*T^2 - 17*T^3 + 14*T^4 - 6*T^5 + T^6)/T^3, 
   (1 - 6*T1 + 14*T1^2 - 17*T1^3 + 14*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     32*T1*T2 - 54*T1^2*T2 + 20*T1^3*T2 + 20*T1^4*T2 - 54*T1^5*T2 + 
     32*T1^6*T2 - 6*T1^7*T2 + 14*T2^2 - 54*T1*T2^2 + T1^2*T2^2 + 
     218*T1^3*T2^2 - 263*T1^4*T2^2 + 218*T1^5*T2^2 + T1^6*T2^2 - 
     54*T1^7*T2^2 + 14*T1^8*T2^2 - 17*T2^3 + 20*T1*T2^3 + 218*T1^2*T2^3 - 
     538*T1^3*T2^3 + 167*T1^4*T2^3 + 167*T1^5*T2^3 - 538*T1^6*T2^3 + 
     218*T1^7*T2^3 + 20*T1^8*T2^3 - 17*T1^9*T2^3 + 14*T2^4 + 20*T1*T2^4 - 
     263*T1^2*T2^4 + 167*T1^3*T2^4 + 913*T1^4*T2^4 - 1101*T1^5*T2^4 + 
     913*T1^6*T2^4 + 167*T1^7*T2^4 - 263*T1^8*T2^4 + 20*T1^9*T2^4 + 
     14*T1^10*T2^4 - 6*T2^5 - 54*T1*T2^5 + 218*T1^2*T2^5 + 167*T1^3*T2^5 - 
     1101*T1^4*T2^5 + 344*T1^5*T2^5 + 344*T1^6*T2^5 - 1101*T1^7*T2^5 + 
     167*T1^8*T2^5 + 218*T1^9*T2^5 - 54*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     32*T1*T2^6 + T1^2*T2^6 - 538*T1^3*T2^6 + 913*T1^4*T2^6 + 344*T1^5*T2^6 - 
     540*T1^6*T2^6 + 344*T1^7*T2^6 + 913*T1^8*T2^6 - 538*T1^9*T2^6 + 
     T1^10*T2^6 + 32*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 54*T1^2*T2^7 + 
     218*T1^3*T2^7 + 167*T1^4*T2^7 - 1101*T1^5*T2^7 + 344*T1^6*T2^7 + 
     344*T1^7*T2^7 - 1101*T1^8*T2^7 + 167*T1^9*T2^7 + 218*T1^10*T2^7 - 
     54*T1^11*T2^7 - 6*T1^12*T2^7 + 14*T1^2*T2^8 + 20*T1^3*T2^8 - 
     263*T1^4*T2^8 + 167*T1^5*T2^8 + 913*T1^6*T2^8 - 1101*T1^7*T2^8 + 
     913*T1^8*T2^8 + 167*T1^9*T2^8 - 263*T1^10*T2^8 + 20*T1^11*T2^8 + 
     14*T1^12*T2^8 - 17*T1^3*T2^9 + 20*T1^4*T2^9 + 218*T1^5*T2^9 - 
     538*T1^6*T2^9 + 167*T1^7*T2^9 + 167*T1^8*T2^9 - 538*T1^9*T2^9 + 
     218*T1^10*T2^9 + 20*T1^11*T2^9 - 17*T1^12*T2^9 + 14*T1^4*T2^10 - 
     54*T1^5*T2^10 + T1^6*T2^10 + 218*T1^7*T2^10 - 263*T1^8*T2^10 + 
     218*T1^9*T2^10 + T1^10*T2^10 - 54*T1^11*T2^10 + 14*T1^12*T2^10 - 
     6*T1^5*T2^11 + 32*T1^6*T2^11 - 54*T1^7*T2^11 + 20*T1^8*T2^11 + 
     20*T1^9*T2^11 - 54*T1^10*T2^11 + 32*T1^11*T2^11 - 6*T1^12*T2^11 + 
     T1^6*T2^12 - 6*T1^7*T2^12 + 14*T1^8*T2^12 - 17*T1^9*T2^12 + 
     14*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 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, 
   (2 - 8*T1 + 13*T1^2 - 14*T1^3 + 13*T1^4 - 8*T1^5 + 2*T1^6 - 8*T2 + 
     20*T1*T2 - 9*T1^2*T2 - 2*T1^3*T2 - 2*T1^4*T2 - 9*T1^5*T2 + 20*T1^6*T2 - 
     8*T1^7*T2 + 13*T2^2 - 9*T1*T2^2 - 29*T1^2*T2^2 - 14*T1^3*T2^2 + 
     57*T1^4*T2^2 - 14*T1^5*T2^2 - 29*T1^6*T2^2 - 9*T1^7*T2^2 + 
     13*T1^8*T2^2 - 14*T2^3 - 2*T1*T2^3 - 14*T1^2*T2^3 + 154*T1^3*T2^3 - 
     79*T1^4*T2^3 - 79*T1^5*T2^3 + 154*T1^6*T2^3 - 14*T1^7*T2^3 - 
     2*T1^8*T2^3 - 14*T1^9*T2^3 + 13*T2^4 - 2*T1*T2^4 + 57*T1^2*T2^4 - 
     79*T1^3*T2^4 - 238*T1^4*T2^4 + 282*T1^5*T2^4 - 238*T1^6*T2^4 - 
     79*T1^7*T2^4 + 57*T1^8*T2^4 - 2*T1^9*T2^4 + 13*T1^10*T2^4 - 8*T2^5 - 
     9*T1*T2^5 - 14*T1^2*T2^5 - 79*T1^3*T2^5 + 282*T1^4*T2^5 - 2*T1^5*T2^5 - 
     2*T1^6*T2^5 + 282*T1^7*T2^5 - 79*T1^8*T2^5 - 14*T1^9*T2^5 - 
     9*T1^10*T2^5 - 8*T1^11*T2^5 + 2*T2^6 + 20*T1*T2^6 - 29*T1^2*T2^6 + 
     154*T1^3*T2^6 - 238*T1^4*T2^6 - 2*T1^5*T2^6 - 204*T1^6*T2^6 - 
     2*T1^7*T2^6 - 238*T1^8*T2^6 + 154*T1^9*T2^6 - 29*T1^10*T2^6 + 
     20*T1^11*T2^6 + 2*T1^12*T2^6 - 8*T1*T2^7 - 9*T1^2*T2^7 - 14*T1^3*T2^7 - 
     79*T1^4*T2^7 + 282*T1^5*T2^7 - 2*T1^6*T2^7 - 2*T1^7*T2^7 + 
     282*T1^8*T2^7 - 79*T1^9*T2^7 - 14*T1^10*T2^7 - 9*T1^11*T2^7 - 
     8*T1^12*T2^7 + 13*T1^2*T2^8 - 2*T1^3*T2^8 + 57*T1^4*T2^8 - 
     79*T1^5*T2^8 - 238*T1^6*T2^8 + 282*T1^7*T2^8 - 238*T1^8*T2^8 - 
     79*T1^9*T2^8 + 57*T1^10*T2^8 - 2*T1^11*T2^8 + 13*T1^12*T2^8 - 
     14*T1^3*T2^9 - 2*T1^4*T2^9 - 14*T1^5*T2^9 + 154*T1^6*T2^9 - 
     79*T1^7*T2^9 - 79*T1^8*T2^9 + 154*T1^9*T2^9 - 14*T1^10*T2^9 - 
     2*T1^11*T2^9 - 14*T1^12*T2^9 + 13*T1^4*T2^10 - 9*T1^5*T2^10 - 
     29*T1^6*T2^10 - 14*T1^7*T2^10 + 57*T1^8*T2^10 - 14*T1^9*T2^10 - 
     29*T1^10*T2^10 - 9*T1^11*T2^10 + 13*T1^12*T2^10 - 8*T1^5*T2^11 + 
     20*T1^6*T2^11 - 9*T1^7*T2^11 - 2*T1^8*T2^11 - 2*T1^9*T2^11 - 
     9*T1^10*T2^11 + 20*T1^11*T2^11 - 8*T1^12*T2^11 + 2*T1^6*T2^12 - 
     8*T1^7*T2^12 + 13*T1^8*T2^12 - 14*T1^9*T2^12 + 13*T1^10*T2^12 - 
     8*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 44] -> 
  {(1 - 6*T + 12*T^2 - 13*T^3 + 12*T^4 - 6*T^5 + T^6)/T^3, 
   (1 - 6*T1 + 12*T1^2 - 13*T1^3 + 12*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     28*T1*T2 - 32*T1^2*T2 + 6*T1^3*T2 + 6*T1^4*T2 - 32*T1^5*T2 + 
     28*T1^6*T2 - 6*T1^7*T2 + 12*T2^2 - 32*T1*T2^2 - 49*T1^2*T2^2 + 
     157*T1^3*T2^2 - 149*T1^4*T2^2 + 157*T1^5*T2^2 - 49*T1^6*T2^2 - 
     32*T1^7*T2^2 + 12*T1^8*T2^2 - 13*T2^3 + 6*T1*T2^3 + 157*T1^2*T2^3 - 
     206*T1^3*T2^3 + 32*T1^4*T2^3 + 32*T1^5*T2^3 - 206*T1^6*T2^3 + 
     157*T1^7*T2^3 + 6*T1^8*T2^3 - 13*T1^9*T2^3 + 12*T2^4 + 6*T1*T2^4 - 
     149*T1^2*T2^4 + 32*T1^3*T2^4 + 264*T1^4*T2^4 - 294*T1^5*T2^4 + 
     264*T1^6*T2^4 + 32*T1^7*T2^4 - 149*T1^8*T2^4 + 6*T1^9*T2^4 + 
     12*T1^10*T2^4 - 6*T2^5 - 32*T1*T2^5 + 157*T1^2*T2^5 + 32*T1^3*T2^5 - 
     294*T1^4*T2^5 + 154*T1^5*T2^5 + 154*T1^6*T2^5 - 294*T1^7*T2^5 + 
     32*T1^8*T2^5 + 157*T1^9*T2^5 - 32*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     28*T1*T2^6 - 49*T1^2*T2^6 - 206*T1^3*T2^6 + 264*T1^4*T2^6 + 
     154*T1^5*T2^6 - 444*T1^6*T2^6 + 154*T1^7*T2^6 + 264*T1^8*T2^6 - 
     206*T1^9*T2^6 - 49*T1^10*T2^6 + 28*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
     32*T1^2*T2^7 + 157*T1^3*T2^7 + 32*T1^4*T2^7 - 294*T1^5*T2^7 + 
     154*T1^6*T2^7 + 154*T1^7*T2^7 - 294*T1^8*T2^7 + 32*T1^9*T2^7 + 
     157*T1^10*T2^7 - 32*T1^11*T2^7 - 6*T1^12*T2^7 + 12*T1^2*T2^8 + 
     6*T1^3*T2^8 - 149*T1^4*T2^8 + 32*T1^5*T2^8 + 264*T1^6*T2^8 - 
     294*T1^7*T2^8 + 264*T1^8*T2^8 + 32*T1^9*T2^8 - 149*T1^10*T2^8 + 
     6*T1^11*T2^8 + 12*T1^12*T2^8 - 13*T1^3*T2^9 + 6*T1^4*T2^9 + 
     157*T1^5*T2^9 - 206*T1^6*T2^9 + 32*T1^7*T2^9 + 32*T1^8*T2^9 - 
     206*T1^9*T2^9 + 157*T1^10*T2^9 + 6*T1^11*T2^9 - 13*T1^12*T2^9 + 
     12*T1^4*T2^10 - 32*T1^5*T2^10 - 49*T1^6*T2^10 + 157*T1^7*T2^10 - 
     149*T1^8*T2^10 + 157*T1^9*T2^10 - 49*T1^10*T2^10 - 32*T1^11*T2^10 + 
     12*T1^12*T2^10 - 6*T1^5*T2^11 + 28*T1^6*T2^11 - 32*T1^7*T2^11 + 
     6*T1^8*T2^11 + 6*T1^9*T2^11 - 32*T1^10*T2^11 + 28*T1^11*T2^11 - 
     6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 12*T1^8*T2^12 - 
     13*T1^9*T2^12 + 12*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 45] -> 
  {-((1 - 4*T + 8*T^2 - 11*T^3 + 8*T^4 - 4*T^5 + T^6)/T^3), 
   -((2 - 13*T1 + 18*T1^2 - 13*T1^3 + 2*T1^4 - 13*T2 + 56*T1*T2 - 
      25*T1^2*T2 - 25*T1^3*T2 + 56*T1^4*T2 - 13*T1^5*T2 + 18*T2^2 - 
      25*T1*T2^2 - 174*T1^2*T2^2 + 232*T1^3*T2^2 - 174*T1^4*T2^2 - 
      25*T1^5*T2^2 + 18*T1^6*T2^2 - 13*T2^3 - 25*T1*T2^3 + 232*T1^2*T2^3 - 
      64*T1^3*T2^3 - 64*T1^4*T2^3 + 232*T1^5*T2^3 - 25*T1^6*T2^3 - 
      13*T1^7*T2^3 + 2*T2^4 + 56*T1*T2^4 - 174*T1^2*T2^4 - 64*T1^3*T2^4 + 
      36*T1^4*T2^4 - 64*T1^5*T2^4 - 174*T1^6*T2^4 + 56*T1^7*T2^4 + 
      2*T1^8*T2^4 - 13*T1*T2^5 - 25*T1^2*T2^5 + 232*T1^3*T2^5 - 
      64*T1^4*T2^5 - 64*T1^5*T2^5 + 232*T1^6*T2^5 - 25*T1^7*T2^5 - 
      13*T1^8*T2^5 + 18*T1^2*T2^6 - 25*T1^3*T2^6 - 174*T1^4*T2^6 + 
      232*T1^5*T2^6 - 174*T1^6*T2^6 - 25*T1^7*T2^6 + 18*T1^8*T2^6 - 
      13*T1^3*T2^7 + 56*T1^4*T2^7 - 25*T1^5*T2^7 - 25*T1^6*T2^7 + 
      56*T1^7*T2^7 - 13*T1^8*T2^7 + 2*T1^4*T2^8 - 13*T1^5*T2^8 + 
      18*T1^6*T2^8 - 13*T1^7*T2^8 + 2*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, NonAlternating, 46] -> {(2 - 10*T + 17*T^2 - 10*T^3 + 2*T^4)/T^2, 
   (1 - 6*T1 + 11*T1^2 - 6*T1^3 + T1^4 - 6*T2 + 36*T1*T2 - 42*T1^2*T2 - 
     42*T1^3*T2 + 36*T1^4*T2 - 6*T1^5*T2 + 11*T2^2 - 42*T1*T2^2 - 
     101*T1^2*T2^2 + 409*T1^3*T2^2 - 101*T1^4*T2^2 - 42*T1^5*T2^2 + 
     11*T1^6*T2^2 - 6*T2^3 - 42*T1*T2^3 + 409*T1^2*T2^3 - 554*T1^3*T2^3 - 
     554*T1^4*T2^3 + 409*T1^5*T2^3 - 42*T1^6*T2^3 - 6*T1^7*T2^3 + T2^4 + 
     36*T1*T2^4 - 101*T1^2*T2^4 - 554*T1^3*T2^4 + 1764*T1^4*T2^4 - 
     554*T1^5*T2^4 - 101*T1^6*T2^4 + 36*T1^7*T2^4 + T1^8*T2^4 - 6*T1*T2^5 - 
     42*T1^2*T2^5 + 409*T1^3*T2^5 - 554*T1^4*T2^5 - 554*T1^5*T2^5 + 
     409*T1^6*T2^5 - 42*T1^7*T2^5 - 6*T1^8*T2^5 + 11*T1^2*T2^6 - 
     42*T1^3*T2^6 - 101*T1^4*T2^6 + 409*T1^5*T2^6 - 101*T1^6*T2^6 - 
     42*T1^7*T2^6 + 11*T1^8*T2^6 - 6*T1^3*T2^7 + 36*T1^4*T2^7 - 
     42*T1^5*T2^7 - 42*T1^6*T2^7 + 36*T1^7*T2^7 - 6*T1^8*T2^7 + T1^4*T2^8 - 
     6*T1^5*T2^8 + 11*T1^6*T2^8 - 6*T1^7*T2^8 + T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 47] -> 
  {(2 - 9*T + 13*T^2 - 11*T^3 + 13*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (7 - 31*T1 + 44*T1^2 - 37*T1^3 + 44*T1^4 - 31*T1^5 + 7*T1^6 - 31*T2 + 
     106*T1*T2 - 57*T1^2*T2 - 31*T1^3*T2 - 31*T1^4*T2 - 57*T1^5*T2 + 
     106*T1^6*T2 - 31*T1^7*T2 + 44*T2^2 - 57*T1*T2^2 - 277*T1^2*T2^2 + 
     406*T1^3*T2^2 - 145*T1^4*T2^2 + 406*T1^5*T2^2 - 277*T1^6*T2^2 - 
     57*T1^7*T2^2 + 44*T1^8*T2^2 - 37*T2^3 - 31*T1*T2^3 + 406*T1^2*T2^3 - 
     186*T1^3*T2^3 - 221*T1^4*T2^3 - 221*T1^5*T2^3 - 186*T1^6*T2^3 + 
     406*T1^7*T2^3 - 31*T1^8*T2^3 - 37*T1^9*T2^3 + 44*T2^4 - 31*T1*T2^4 - 
     145*T1^2*T2^4 - 221*T1^3*T2^4 + 568*T1^4*T2^4 - 344*T1^5*T2^4 + 
     568*T1^6*T2^4 - 221*T1^7*T2^4 - 145*T1^8*T2^4 - 31*T1^9*T2^4 + 
     44*T1^10*T2^4 - 31*T2^5 - 57*T1*T2^5 + 406*T1^2*T2^5 - 221*T1^3*T2^5 - 
     344*T1^4*T2^5 + 270*T1^5*T2^5 + 270*T1^6*T2^5 - 344*T1^7*T2^5 - 
     221*T1^8*T2^5 + 406*T1^9*T2^5 - 57*T1^10*T2^5 - 31*T1^11*T2^5 + 7*T2^6 + 
     106*T1*T2^6 - 277*T1^2*T2^6 - 186*T1^3*T2^6 + 568*T1^4*T2^6 + 
     270*T1^5*T2^6 - 1092*T1^6*T2^6 + 270*T1^7*T2^6 + 568*T1^8*T2^6 - 
     186*T1^9*T2^6 - 277*T1^10*T2^6 + 106*T1^11*T2^6 + 7*T1^12*T2^6 - 
     31*T1*T2^7 - 57*T1^2*T2^7 + 406*T1^3*T2^7 - 221*T1^4*T2^7 - 
     344*T1^5*T2^7 + 270*T1^6*T2^7 + 270*T1^7*T2^7 - 344*T1^8*T2^7 - 
     221*T1^9*T2^7 + 406*T1^10*T2^7 - 57*T1^11*T2^7 - 31*T1^12*T2^7 + 
     44*T1^2*T2^8 - 31*T1^3*T2^8 - 145*T1^4*T2^8 - 221*T1^5*T2^8 + 
     568*T1^6*T2^8 - 344*T1^7*T2^8 + 568*T1^8*T2^8 - 221*T1^9*T2^8 - 
     145*T1^10*T2^8 - 31*T1^11*T2^8 + 44*T1^12*T2^8 - 37*T1^3*T2^9 - 
     31*T1^4*T2^9 + 406*T1^5*T2^9 - 186*T1^6*T2^9 - 221*T1^7*T2^9 - 
     221*T1^8*T2^9 - 186*T1^9*T2^9 + 406*T1^10*T2^9 - 31*T1^11*T2^9 - 
     37*T1^12*T2^9 + 44*T1^4*T2^10 - 57*T1^5*T2^10 - 277*T1^6*T2^10 + 
     406*T1^7*T2^10 - 145*T1^8*T2^10 + 406*T1^9*T2^10 - 277*T1^10*T2^10 - 
     57*T1^11*T2^10 + 44*T1^12*T2^10 - 31*T1^5*T2^11 + 106*T1^6*T2^11 - 
     57*T1^7*T2^11 - 31*T1^8*T2^11 - 31*T1^9*T2^11 - 57*T1^10*T2^11 + 
     106*T1^11*T2^11 - 31*T1^12*T2^11 + 7*T1^6*T2^12 - 31*T1^7*T2^12 + 
     44*T1^8*T2^12 - 37*T1^9*T2^12 + 44*T1^10*T2^12 - 31*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 48] -> 
  {((2 - 4*T + T^2)*(1 - 4*T + 2*T^2))/T^2, 
   (1 - 6*T1 + 11*T1^2 - 6*T1^3 + T1^4 - 6*T2 + 14*T1*T2 - 6*T1^2*T2 - 
     6*T1^3*T2 + 14*T1^4*T2 - 6*T1^5*T2 + 11*T2^2 - 6*T1*T2^2 + 
     62*T1^2*T2^2 - 194*T1^3*T2^2 + 62*T1^4*T2^2 - 6*T1^5*T2^2 + 
     11*T1^6*T2^2 - 6*T2^3 - 6*T1*T2^3 - 194*T1^2*T2^3 + 302*T1^3*T2^3 + 
     302*T1^4*T2^3 - 194*T1^5*T2^3 - 6*T1^6*T2^3 - 6*T1^7*T2^3 + T2^4 + 
     14*T1*T2^4 + 62*T1^2*T2^4 + 302*T1^3*T2^4 - 1032*T1^4*T2^4 + 
     302*T1^5*T2^4 + 62*T1^6*T2^4 + 14*T1^7*T2^4 + T1^8*T2^4 - 6*T1*T2^5 - 
     6*T1^2*T2^5 - 194*T1^3*T2^5 + 302*T1^4*T2^5 + 302*T1^5*T2^5 - 
     194*T1^6*T2^5 - 6*T1^7*T2^5 - 6*T1^8*T2^5 + 11*T1^2*T2^6 - 6*T1^3*T2^6 + 
     62*T1^4*T2^6 - 194*T1^5*T2^6 + 62*T1^6*T2^6 - 6*T1^7*T2^6 + 
     11*T1^8*T2^6 - 6*T1^3*T2^7 + 14*T1^4*T2^7 - 6*T1^5*T2^7 - 6*T1^6*T2^7 + 
     14*T1^7*T2^7 - 6*T1^8*T2^7 + T1^4*T2^8 - 6*T1^5*T2^8 + 11*T1^6*T2^8 - 
     6*T1^7*T2^8 + T1^8*T2^8)/(T1^4*T2^4)}, Knot[12, NonAlternating, 49] -> 
  {((-2 + T)^2*(-1 + 2*T)^2)/T^2, (8 - 46*T1 + 80*T1^2 - 46*T1^3 + 8*T1^4 - 
     46*T2 + 216*T1*T2 - 193*T1^2*T2 - 193*T1^3*T2 + 216*T1^4*T2 - 
     46*T1^5*T2 + 80*T2^2 - 193*T1*T2^2 - 610*T1^2*T2^2 + 1656*T1^3*T2^2 - 
     610*T1^4*T2^2 - 193*T1^5*T2^2 + 80*T1^6*T2^2 - 46*T2^3 - 193*T1*T2^3 + 
     1656*T1^2*T2^3 - 1664*T1^3*T2^3 - 1664*T1^4*T2^3 + 1656*T1^5*T2^3 - 
     193*T1^6*T2^3 - 46*T1^7*T2^3 + 8*T2^4 + 216*T1*T2^4 - 610*T1^2*T2^4 - 
     1664*T1^3*T2^4 + 4752*T1^4*T2^4 - 1664*T1^5*T2^4 - 610*T1^6*T2^4 + 
     216*T1^7*T2^4 + 8*T1^8*T2^4 - 46*T1*T2^5 - 193*T1^2*T2^5 + 
     1656*T1^3*T2^5 - 1664*T1^4*T2^5 - 1664*T1^5*T2^5 + 1656*T1^6*T2^5 - 
     193*T1^7*T2^5 - 46*T1^8*T2^5 + 80*T1^2*T2^6 - 193*T1^3*T2^6 - 
     610*T1^4*T2^6 + 1656*T1^5*T2^6 - 610*T1^6*T2^6 - 193*T1^7*T2^6 + 
     80*T1^8*T2^6 - 46*T1^3*T2^7 + 216*T1^4*T2^7 - 193*T1^5*T2^7 - 
     193*T1^6*T2^7 + 216*T1^7*T2^7 - 46*T1^8*T2^7 + 8*T1^4*T2^8 - 
     46*T1^5*T2^8 + 80*T1^6*T2^8 - 46*T1^7*T2^8 + 8*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 50] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^3, 
   (9 - 49*T1 + 100*T1^2 - 115*T1^3 + 100*T1^4 - 49*T1^5 + 9*T1^6 - 49*T2 + 
     218*T1*T2 - 279*T1^2*T2 + 83*T1^3*T2 + 83*T1^4*T2 - 279*T1^5*T2 + 
     218*T1^6*T2 - 49*T1^7*T2 + 100*T2^2 - 279*T1*T2^2 - 226*T1^2*T2^2 + 
     1122*T1^3*T2^2 - 1192*T1^4*T2^2 + 1122*T1^5*T2^2 - 226*T1^6*T2^2 - 
     279*T1^7*T2^2 + 100*T1^8*T2^2 - 115*T2^3 + 83*T1*T2^3 + 1122*T1^2*T2^3 - 
     1790*T1^3*T2^3 + 398*T1^4*T2^3 + 398*T1^5*T2^3 - 1790*T1^6*T2^3 + 
     1122*T1^7*T2^3 + 83*T1^8*T2^3 - 115*T1^9*T2^3 + 100*T2^4 + 83*T1*T2^4 - 
     1192*T1^2*T2^4 + 398*T1^3*T2^4 + 2341*T1^4*T2^4 - 2481*T1^5*T2^4 + 
     2341*T1^6*T2^4 + 398*T1^7*T2^4 - 1192*T1^8*T2^4 + 83*T1^9*T2^4 + 
     100*T1^10*T2^4 - 49*T2^5 - 279*T1*T2^5 + 1122*T1^2*T2^5 + 
     398*T1^3*T2^5 - 2481*T1^4*T2^5 + 694*T1^5*T2^5 + 694*T1^6*T2^5 - 
     2481*T1^7*T2^5 + 398*T1^8*T2^5 + 1122*T1^9*T2^5 - 279*T1^10*T2^5 - 
     49*T1^11*T2^5 + 9*T2^6 + 218*T1*T2^6 - 226*T1^2*T2^6 - 1790*T1^3*T2^6 + 
     2341*T1^4*T2^6 + 694*T1^5*T2^6 - 1248*T1^6*T2^6 + 694*T1^7*T2^6 + 
     2341*T1^8*T2^6 - 1790*T1^9*T2^6 - 226*T1^10*T2^6 + 218*T1^11*T2^6 + 
     9*T1^12*T2^6 - 49*T1*T2^7 - 279*T1^2*T2^7 + 1122*T1^3*T2^7 + 
     398*T1^4*T2^7 - 2481*T1^5*T2^7 + 694*T1^6*T2^7 + 694*T1^7*T2^7 - 
     2481*T1^8*T2^7 + 398*T1^9*T2^7 + 1122*T1^10*T2^7 - 279*T1^11*T2^7 - 
     49*T1^12*T2^7 + 100*T1^2*T2^8 + 83*T1^3*T2^8 - 1192*T1^4*T2^8 + 
     398*T1^5*T2^8 + 2341*T1^6*T2^8 - 2481*T1^7*T2^8 + 2341*T1^8*T2^8 + 
     398*T1^9*T2^8 - 1192*T1^10*T2^8 + 83*T1^11*T2^8 + 100*T1^12*T2^8 - 
     115*T1^3*T2^9 + 83*T1^4*T2^9 + 1122*T1^5*T2^9 - 1790*T1^6*T2^9 + 
     398*T1^7*T2^9 + 398*T1^8*T2^9 - 1790*T1^9*T2^9 + 1122*T1^10*T2^9 + 
     83*T1^11*T2^9 - 115*T1^12*T2^9 + 100*T1^4*T2^10 - 279*T1^5*T2^10 - 
     226*T1^6*T2^10 + 1122*T1^7*T2^10 - 1192*T1^8*T2^10 + 1122*T1^9*T2^10 - 
     226*T1^10*T2^10 - 279*T1^11*T2^10 + 100*T1^12*T2^10 - 49*T1^5*T2^11 + 
     218*T1^6*T2^11 - 279*T1^7*T2^11 + 83*T1^8*T2^11 + 83*T1^9*T2^11 - 
     279*T1^10*T2^11 + 218*T1^11*T2^11 - 49*T1^12*T2^11 + 9*T1^6*T2^12 - 
     49*T1^7*T2^12 + 100*T1^8*T2^12 - 115*T1^9*T2^12 + 100*T1^10*T2^12 - 
     49*T1^11*T2^12 + 9*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 51] -> {-(((-2 + T)*(-1 + 2*T))/T), 
   (T1 + T1^2 + T2 + 3*T1*T2 - 27*T1^2*T2 + 3*T1^3*T2 + T1^4*T2 + T2^2 - 
     27*T1*T2^2 + 58*T1^2*T2^2 + 58*T1^3*T2^2 - 27*T1^4*T2^2 + T1^5*T2^2 + 
     3*T1*T2^3 + 58*T1^2*T2^3 - 216*T1^3*T2^3 + 58*T1^4*T2^3 + 3*T1^5*T2^3 + 
     T1*T2^4 - 27*T1^2*T2^4 + 58*T1^3*T2^4 + 58*T1^4*T2^4 - 27*T1^5*T2^4 + 
     T1^6*T2^4 + T1^2*T2^5 + 3*T1^3*T2^5 - 27*T1^4*T2^5 + 3*T1^5*T2^5 + 
     T1^6*T2^5 + T1^4*T2^6 + T1^5*T2^6)/(T1^3*T2^3)}, 
 Knot[12, NonAlternating, 52] -> 
  {(1 - 9*T + 30*T^2 - 43*T^3 + 30*T^4 - 9*T^5 + T^6)/T^3, 
   -((1 - 9*T1 + 30*T1^2 - 43*T1^3 + 30*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
      72*T1*T2 - 189*T1^2*T2 + 117*T1^3*T2 + 117*T1^4*T2 - 189*T1^5*T2 + 
      72*T1^6*T2 - 9*T1^7*T2 + 30*T2^2 - 189*T1*T2^2 + 205*T1^2*T2^2 + 
      852*T1^3*T2^2 - 1653*T1^4*T2^2 + 852*T1^5*T2^2 + 205*T1^6*T2^2 - 
      189*T1^7*T2^2 + 30*T1^8*T2^2 - 43*T2^3 + 117*T1*T2^3 + 852*T1^2*T2^3 - 
      3778*T1^3*T2^3 + 2531*T1^4*T2^3 + 2531*T1^5*T2^3 - 3778*T1^6*T2^3 + 
      852*T1^7*T2^3 + 117*T1^8*T2^3 - 43*T1^9*T2^3 + 30*T2^4 + 117*T1*T2^4 - 
      1653*T1^2*T2^4 + 2531*T1^3*T2^4 + 7506*T1^4*T2^4 - 15284*T1^5*T2^4 + 
      7506*T1^6*T2^4 + 2531*T1^7*T2^4 - 1653*T1^8*T2^4 + 117*T1^9*T2^4 + 
      30*T1^10*T2^4 - 9*T2^5 - 189*T1*T2^5 + 852*T1^2*T2^5 + 2531*T1^3*T2^5 - 
      15284*T1^4*T2^5 + 10502*T1^5*T2^5 + 10502*T1^6*T2^5 - 15284*T1^7*T2^5 + 
      2531*T1^8*T2^5 + 852*T1^9*T2^5 - 189*T1^10*T2^5 - 9*T1^11*T2^5 + T2^6 + 
      72*T1*T2^6 + 205*T1^2*T2^6 - 3778*T1^3*T2^6 + 7506*T1^4*T2^6 + 
      10502*T1^5*T2^6 - 25152*T1^6*T2^6 + 10502*T1^7*T2^6 + 7506*T1^8*T2^6 - 
      3778*T1^9*T2^6 + 205*T1^10*T2^6 + 72*T1^11*T2^6 + T1^12*T2^6 - 
      9*T1*T2^7 - 189*T1^2*T2^7 + 852*T1^3*T2^7 + 2531*T1^4*T2^7 - 
      15284*T1^5*T2^7 + 10502*T1^6*T2^7 + 10502*T1^7*T2^7 - 15284*T1^8*T2^7 + 
      2531*T1^9*T2^7 + 852*T1^10*T2^7 - 189*T1^11*T2^7 - 9*T1^12*T2^7 + 
      30*T1^2*T2^8 + 117*T1^3*T2^8 - 1653*T1^4*T2^8 + 2531*T1^5*T2^8 + 
      7506*T1^6*T2^8 - 15284*T1^7*T2^8 + 7506*T1^8*T2^8 + 2531*T1^9*T2^8 - 
      1653*T1^10*T2^8 + 117*T1^11*T2^8 + 30*T1^12*T2^8 - 43*T1^3*T2^9 + 
      117*T1^4*T2^9 + 852*T1^5*T2^9 - 3778*T1^6*T2^9 + 2531*T1^7*T2^9 + 
      2531*T1^8*T2^9 - 3778*T1^9*T2^9 + 852*T1^10*T2^9 + 117*T1^11*T2^9 - 
      43*T1^12*T2^9 + 30*T1^4*T2^10 - 189*T1^5*T2^10 + 205*T1^6*T2^10 + 
      852*T1^7*T2^10 - 1653*T1^8*T2^10 + 852*T1^9*T2^10 + 205*T1^10*T2^10 - 
      189*T1^11*T2^10 + 30*T1^12*T2^10 - 9*T1^5*T2^11 + 72*T1^6*T2^11 - 
      189*T1^7*T2^11 + 117*T1^8*T2^11 + 117*T1^9*T2^11 - 189*T1^10*T2^11 + 
      72*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 
      30*T1^8*T2^12 - 43*T1^9*T2^12 + 30*T1^10*T2^12 - 9*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 53] -> 
  {(3 - 14*T + 23*T^2 - 14*T^3 + 3*T^4)/T^2, 
   (9 - 43*T1 + 73*T1^2 - 43*T1^3 + 9*T1^4 - 43*T2 + 166*T1*T2 - 
     151*T1^2*T2 - 151*T1^3*T2 + 166*T1^4*T2 - 43*T1^5*T2 + 73*T2^2 - 
     151*T1*T2^2 - 308*T1^2*T2^2 + 1016*T1^3*T2^2 - 308*T1^4*T2^2 - 
     151*T1^5*T2^2 + 73*T1^6*T2^2 - 43*T2^3 - 151*T1*T2^3 + 1016*T1^2*T2^3 - 
     1098*T1^3*T2^3 - 1098*T1^4*T2^3 + 1016*T1^5*T2^3 - 151*T1^6*T2^3 - 
     43*T1^7*T2^3 + 9*T2^4 + 166*T1*T2^4 - 308*T1^2*T2^4 - 1098*T1^3*T2^4 + 
     3180*T1^4*T2^4 - 1098*T1^5*T2^4 - 308*T1^6*T2^4 + 166*T1^7*T2^4 + 
     9*T1^8*T2^4 - 43*T1*T2^5 - 151*T1^2*T2^5 + 1016*T1^3*T2^5 - 
     1098*T1^4*T2^5 - 1098*T1^5*T2^5 + 1016*T1^6*T2^5 - 151*T1^7*T2^5 - 
     43*T1^8*T2^5 + 73*T1^2*T2^6 - 151*T1^3*T2^6 - 308*T1^4*T2^6 + 
     1016*T1^5*T2^6 - 308*T1^6*T2^6 - 151*T1^7*T2^6 + 73*T1^8*T2^6 - 
     43*T1^3*T2^7 + 166*T1^4*T2^7 - 151*T1^5*T2^7 - 151*T1^6*T2^7 + 
     166*T1^7*T2^7 - 43*T1^8*T2^7 + 9*T1^4*T2^8 - 43*T1^5*T2^8 + 
     73*T1^6*T2^8 - 43*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 54] -> 
  {-((1 - 4*T + 6*T^2 - 7*T^3 + 6*T^4 - 4*T^5 + T^6)/T^3), 
   (2 - 8*T1 + 12*T1^2 - 14*T1^3 + 12*T1^4 - 8*T1^5 + 2*T1^6 - 8*T2 + 
     24*T1*T2 - 17*T1^2*T2 + 8*T1^3*T2 + 8*T1^4*T2 - 17*T1^5*T2 + 
     24*T1^6*T2 - 8*T1^7*T2 + 12*T2^2 - 17*T1*T2^2 - 34*T1^2*T2^2 + 
     53*T1^3*T2^2 - 68*T1^4*T2^2 + 53*T1^5*T2^2 - 34*T1^6*T2^2 - 
     17*T1^7*T2^2 + 12*T1^8*T2^2 - 14*T2^3 + 8*T1*T2^3 + 53*T1^2*T2^3 - 
     30*T1^3*T2^3 + 17*T1^4*T2^3 + 17*T1^5*T2^3 - 30*T1^6*T2^3 + 
     53*T1^7*T2^3 + 8*T1^8*T2^3 - 14*T1^9*T2^3 + 12*T2^4 + 8*T1*T2^4 - 
     68*T1^2*T2^4 + 17*T1^3*T2^4 - 11*T1^4*T2^4 - 3*T1^5*T2^4 - 
     11*T1^6*T2^4 + 17*T1^7*T2^4 - 68*T1^8*T2^4 + 8*T1^9*T2^4 + 
     12*T1^10*T2^4 - 8*T2^5 - 17*T1*T2^5 + 53*T1^2*T2^5 + 17*T1^3*T2^5 - 
     3*T1^4*T2^5 + 4*T1^5*T2^5 + 4*T1^6*T2^5 - 3*T1^7*T2^5 + 17*T1^8*T2^5 + 
     53*T1^9*T2^5 - 17*T1^10*T2^5 - 8*T1^11*T2^5 + 2*T2^6 + 24*T1*T2^6 - 
     34*T1^2*T2^6 - 30*T1^3*T2^6 - 11*T1^4*T2^6 + 4*T1^5*T2^6 + 4*T1^7*T2^6 - 
     11*T1^8*T2^6 - 30*T1^9*T2^6 - 34*T1^10*T2^6 + 24*T1^11*T2^6 + 
     2*T1^12*T2^6 - 8*T1*T2^7 - 17*T1^2*T2^7 + 53*T1^3*T2^7 + 17*T1^4*T2^7 - 
     3*T1^5*T2^7 + 4*T1^6*T2^7 + 4*T1^7*T2^7 - 3*T1^8*T2^7 + 17*T1^9*T2^7 + 
     53*T1^10*T2^7 - 17*T1^11*T2^7 - 8*T1^12*T2^7 + 12*T1^2*T2^8 + 
     8*T1^3*T2^8 - 68*T1^4*T2^8 + 17*T1^5*T2^8 - 11*T1^6*T2^8 - 3*T1^7*T2^8 - 
     11*T1^8*T2^8 + 17*T1^9*T2^8 - 68*T1^10*T2^8 + 8*T1^11*T2^8 + 
     12*T1^12*T2^8 - 14*T1^3*T2^9 + 8*T1^4*T2^9 + 53*T1^5*T2^9 - 
     30*T1^6*T2^9 + 17*T1^7*T2^9 + 17*T1^8*T2^9 - 30*T1^9*T2^9 + 
     53*T1^10*T2^9 + 8*T1^11*T2^9 - 14*T1^12*T2^9 + 12*T1^4*T2^10 - 
     17*T1^5*T2^10 - 34*T1^6*T2^10 + 53*T1^7*T2^10 - 68*T1^8*T2^10 + 
     53*T1^9*T2^10 - 34*T1^10*T2^10 - 17*T1^11*T2^10 + 12*T1^12*T2^10 - 
     8*T1^5*T2^11 + 24*T1^6*T2^11 - 17*T1^7*T2^11 + 8*T1^8*T2^11 + 
     8*T1^9*T2^11 - 17*T1^10*T2^11 + 24*T1^11*T2^11 - 8*T1^12*T2^11 + 
     2*T1^6*T2^12 - 8*T1^7*T2^12 + 12*T1^8*T2^12 - 14*T1^9*T2^12 + 
     12*T1^10*T2^12 - 8*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 55] -> 
  {((1 - T + T^2)*(2 - 9*T + 15*T^2 - 9*T^3 + 2*T^4))/T^3, 
   (9 - 49*T1 + 114*T1^2 - 143*T1^3 + 114*T1^4 - 49*T1^5 + 9*T1^6 - 49*T2 + 
     220*T1*T2 - 363*T1^2*T2 + 163*T1^3*T2 + 163*T1^4*T2 - 363*T1^5*T2 + 
     220*T1^6*T2 - 49*T1^7*T2 + 114*T2^2 - 363*T1*T2^2 + 142*T1^2*T2^2 + 
     938*T1^3*T2^2 - 1362*T1^4*T2^2 + 938*T1^5*T2^2 + 142*T1^6*T2^2 - 
     363*T1^7*T2^2 + 114*T1^8*T2^2 - 143*T2^3 + 163*T1*T2^3 + 938*T1^2*T2^3 - 
     2470*T1^3*T2^3 + 1049*T1^4*T2^3 + 1049*T1^5*T2^3 - 2470*T1^6*T2^3 + 
     938*T1^7*T2^3 + 163*T1^8*T2^3 - 143*T1^9*T2^3 + 114*T2^4 + 163*T1*T2^4 - 
     1362*T1^2*T2^4 + 1049*T1^3*T2^4 + 3548*T1^4*T2^4 - 5088*T1^5*T2^4 + 
     3548*T1^6*T2^4 + 1049*T1^7*T2^4 - 1362*T1^8*T2^4 + 163*T1^9*T2^4 + 
     114*T1^10*T2^4 - 49*T2^5 - 363*T1*T2^5 + 938*T1^2*T2^5 + 
     1049*T1^3*T2^5 - 5088*T1^4*T2^5 + 2044*T1^5*T2^5 + 2044*T1^6*T2^5 - 
     5088*T1^7*T2^5 + 1049*T1^8*T2^5 + 938*T1^9*T2^5 - 363*T1^10*T2^5 - 
     49*T1^11*T2^5 + 9*T2^6 + 220*T1*T2^6 + 142*T1^2*T2^6 - 2470*T1^3*T2^6 + 
     3548*T1^4*T2^6 + 2044*T1^5*T2^6 - 3624*T1^6*T2^6 + 2044*T1^7*T2^6 + 
     3548*T1^8*T2^6 - 2470*T1^9*T2^6 + 142*T1^10*T2^6 + 220*T1^11*T2^6 + 
     9*T1^12*T2^6 - 49*T1*T2^7 - 363*T1^2*T2^7 + 938*T1^3*T2^7 + 
     1049*T1^4*T2^7 - 5088*T1^5*T2^7 + 2044*T1^6*T2^7 + 2044*T1^7*T2^7 - 
     5088*T1^8*T2^7 + 1049*T1^9*T2^7 + 938*T1^10*T2^7 - 363*T1^11*T2^7 - 
     49*T1^12*T2^7 + 114*T1^2*T2^8 + 163*T1^3*T2^8 - 1362*T1^4*T2^8 + 
     1049*T1^5*T2^8 + 3548*T1^6*T2^8 - 5088*T1^7*T2^8 + 3548*T1^8*T2^8 + 
     1049*T1^9*T2^8 - 1362*T1^10*T2^8 + 163*T1^11*T2^8 + 114*T1^12*T2^8 - 
     143*T1^3*T2^9 + 163*T1^4*T2^9 + 938*T1^5*T2^9 - 2470*T1^6*T2^9 + 
     1049*T1^7*T2^9 + 1049*T1^8*T2^9 - 2470*T1^9*T2^9 + 938*T1^10*T2^9 + 
     163*T1^11*T2^9 - 143*T1^12*T2^9 + 114*T1^4*T2^10 - 363*T1^5*T2^10 + 
     142*T1^6*T2^10 + 938*T1^7*T2^10 - 1362*T1^8*T2^10 + 938*T1^9*T2^10 + 
     142*T1^10*T2^10 - 363*T1^11*T2^10 + 114*T1^12*T2^10 - 49*T1^5*T2^11 + 
     220*T1^6*T2^11 - 363*T1^7*T2^11 + 163*T1^8*T2^11 + 163*T1^9*T2^11 - 
     363*T1^10*T2^11 + 220*T1^11*T2^11 - 49*T1^12*T2^11 + 9*T1^6*T2^12 - 
     49*T1^7*T2^12 + 114*T1^8*T2^12 - 143*T1^9*T2^12 + 114*T1^10*T2^12 - 
     49*T1^11*T2^12 + 9*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 56] -> {(1 - T + T^2)^2/T^2, 
   (2*(1 + T1^3 - 14*T1*T2 + 16*T1^2*T2 - 14*T1^3*T2 + 16*T1*T2^2 - 
      2*T1^2*T2^2 - 2*T1^3*T2^2 + 16*T1^4*T2^2 + T2^3 - 14*T1*T2^3 - 
      2*T1^2*T2^3 - 6*T1^3*T2^3 - 2*T1^4*T2^3 - 14*T1^5*T2^3 + T1^6*T2^3 + 
      16*T1^2*T2^4 - 2*T1^3*T2^4 - 2*T1^4*T2^4 + 16*T1^5*T2^4 - 
      14*T1^3*T2^5 + 16*T1^4*T2^5 - 14*T1^5*T2^5 + T1^3*T2^6 + T1^6*T2^6))/
    (T1^3*T2^3)}, Knot[12, NonAlternating, 57] -> 
  {(1 - T + T^2)^2/T^2, (2*(1 + T1^3 - 14*T1*T2 + 16*T1^2*T2 - 14*T1^3*T2 + 
      16*T1*T2^2 - 2*T1^2*T2^2 - 2*T1^3*T2^2 + 16*T1^4*T2^2 + T2^3 - 
      14*T1*T2^3 - 2*T1^2*T2^3 - 6*T1^3*T2^3 - 2*T1^4*T2^3 - 14*T1^5*T2^3 + 
      T1^6*T2^3 + 16*T1^2*T2^4 - 2*T1^3*T2^4 - 2*T1^4*T2^4 + 16*T1^5*T2^4 - 
      14*T1^3*T2^5 + 16*T1^4*T2^5 - 14*T1^5*T2^5 + T1^3*T2^6 + T1^6*T2^6))/
    (T1^3*T2^3)}, Knot[12, NonAlternating, 58] -> 
  {-(((1 - T + T^2)*(2 - 11*T + 17*T^2 - 11*T^3 + 2*T^4))/T^3), 
   (17 - 109*T1 + 248*T1^2 - 321*T1^3 + 248*T1^4 - 109*T1^5 + 17*T1^6 - 
     109*T2 + 596*T1*T2 - 901*T1^2*T2 + 475*T1^3*T2 + 475*T1^4*T2 - 
     901*T1^5*T2 + 596*T1^6*T2 - 109*T1^7*T2 + 248*T2^2 - 901*T1*T2^2 - 
     690*T1^2*T2^2 + 4176*T1^3*T2^2 - 6342*T1^4*T2^2 + 4176*T1^5*T2^2 - 
     690*T1^6*T2^2 - 901*T1^7*T2^2 + 248*T1^8*T2^2 - 321*T2^3 + 475*T1*T2^3 + 
     4176*T1^2*T2^3 - 7842*T1^3*T2^3 + 4583*T1^4*T2^3 + 4583*T1^5*T2^3 - 
     7842*T1^6*T2^3 + 4176*T1^7*T2^3 + 475*T1^8*T2^3 - 321*T1^9*T2^3 + 
     248*T2^4 + 475*T1*T2^4 - 6342*T1^2*T2^4 + 4583*T1^3*T2^4 + 
     5412*T1^4*T2^4 - 13288*T1^5*T2^4 + 5412*T1^6*T2^4 + 4583*T1^7*T2^4 - 
     6342*T1^8*T2^4 + 475*T1^9*T2^4 + 248*T1^10*T2^4 - 109*T2^5 - 
     901*T1*T2^5 + 4176*T1^2*T2^5 + 4583*T1^3*T2^5 - 13288*T1^4*T2^5 + 
     9008*T1^5*T2^5 + 9008*T1^6*T2^5 - 13288*T1^7*T2^5 + 4583*T1^8*T2^5 + 
     4176*T1^9*T2^5 - 901*T1^10*T2^5 - 109*T1^11*T2^5 + 17*T2^6 + 
     596*T1*T2^6 - 690*T1^2*T2^6 - 7842*T1^3*T2^6 + 5412*T1^4*T2^6 + 
     9008*T1^5*T2^6 - 20964*T1^6*T2^6 + 9008*T1^7*T2^6 + 5412*T1^8*T2^6 - 
     7842*T1^9*T2^6 - 690*T1^10*T2^6 + 596*T1^11*T2^6 + 17*T1^12*T2^6 - 
     109*T1*T2^7 - 901*T1^2*T2^7 + 4176*T1^3*T2^7 + 4583*T1^4*T2^7 - 
     13288*T1^5*T2^7 + 9008*T1^6*T2^7 + 9008*T1^7*T2^7 - 13288*T1^8*T2^7 + 
     4583*T1^9*T2^7 + 4176*T1^10*T2^7 - 901*T1^11*T2^7 - 109*T1^12*T2^7 + 
     248*T1^2*T2^8 + 475*T1^3*T2^8 - 6342*T1^4*T2^8 + 4583*T1^5*T2^8 + 
     5412*T1^6*T2^8 - 13288*T1^7*T2^8 + 5412*T1^8*T2^8 + 4583*T1^9*T2^8 - 
     6342*T1^10*T2^8 + 475*T1^11*T2^8 + 248*T1^12*T2^8 - 321*T1^3*T2^9 + 
     475*T1^4*T2^9 + 4176*T1^5*T2^9 - 7842*T1^6*T2^9 + 4583*T1^7*T2^9 + 
     4583*T1^8*T2^9 - 7842*T1^9*T2^9 + 4176*T1^10*T2^9 + 475*T1^11*T2^9 - 
     321*T1^12*T2^9 + 248*T1^4*T2^10 - 901*T1^5*T2^10 - 690*T1^6*T2^10 + 
     4176*T1^7*T2^10 - 6342*T1^8*T2^10 + 4176*T1^9*T2^10 - 690*T1^10*T2^10 - 
     901*T1^11*T2^10 + 248*T1^12*T2^10 - 109*T1^5*T2^11 + 596*T1^6*T2^11 - 
     901*T1^7*T2^11 + 475*T1^8*T2^11 + 475*T1^9*T2^11 - 901*T1^10*T2^11 + 
     596*T1^11*T2^11 - 109*T1^12*T2^11 + 17*T1^6*T2^12 - 109*T1^7*T2^12 + 
     248*T1^8*T2^12 - 321*T1^9*T2^12 + 248*T1^10*T2^12 - 109*T1^11*T2^12 + 
     17*T1^12*T2^12)/(T1^6*T2^6)}, 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), 
   -((3 - 9*T1 + 24*T1^3 - 39*T1^4 + 24*T1^5 - 9*T1^7 + 3*T1^8 - 9*T2 + 
      18*T1*T2 + 27*T1^2*T2 - 72*T1^3*T2 + 45*T1^4*T2 + 45*T1^5*T2 - 
      72*T1^6*T2 + 27*T1^7*T2 + 18*T1^8*T2 - 9*T1^9*T2 + 27*T1*T2^2 - 
      80*T1^2*T2^2 + T1^3*T2^2 + 206*T1^4*T2^2 - 336*T1^5*T2^2 + 
      206*T1^6*T2^2 + T1^7*T2^2 - 80*T1^8*T2^2 + 27*T1^9*T2^2 + 24*T2^3 - 
      72*T1*T2^3 + T1^2*T2^3 + 194*T1^3*T2^3 - 323*T1^4*T2^3 + 
      159*T1^5*T2^3 + 159*T1^6*T2^3 - 323*T1^7*T2^3 + 194*T1^8*T2^3 + 
      T1^9*T2^3 - 72*T1^10*T2^3 + 24*T1^11*T2^3 - 39*T2^4 + 45*T1*T2^4 + 
      206*T1^2*T2^4 - 323*T1^3*T2^4 + 29*T1^4*T2^4 + 625*T1^5*T2^4 - 
      921*T1^6*T2^4 + 625*T1^7*T2^4 + 29*T1^8*T2^4 - 323*T1^9*T2^4 + 
      206*T1^10*T2^4 + 45*T1^11*T2^4 - 39*T1^12*T2^4 + 24*T2^5 + 45*T1*T2^5 - 
      336*T1^2*T2^5 + 159*T1^3*T2^5 + 625*T1^4*T2^5 - 1230*T1^5*T2^5 + 
      623*T1^6*T2^5 + 623*T1^7*T2^5 - 1230*T1^8*T2^5 + 625*T1^9*T2^5 + 
      159*T1^10*T2^5 - 336*T1^11*T2^5 + 45*T1^12*T2^5 + 24*T1^13*T2^5 - 
      72*T1*T2^6 + 206*T1^2*T2^6 + 159*T1^3*T2^6 - 921*T1^4*T2^6 + 
      623*T1^5*T2^6 + 872*T1^6*T2^6 - 1840*T1^7*T2^6 + 872*T1^8*T2^6 + 
      623*T1^9*T2^6 - 921*T1^10*T2^6 + 159*T1^11*T2^6 + 206*T1^12*T2^6 - 
      72*T1^13*T2^6 - 9*T2^7 + 27*T1*T2^7 + T1^2*T2^7 - 323*T1^3*T2^7 + 
      625*T1^4*T2^7 + 623*T1^5*T2^7 - 1840*T1^6*T2^7 + 1176*T1^7*T2^7 + 
      1176*T1^8*T2^7 - 1840*T1^9*T2^7 + 623*T1^10*T2^7 + 625*T1^11*T2^7 - 
      323*T1^12*T2^7 + T1^13*T2^7 + 27*T1^14*T2^7 - 9*T1^15*T2^7 + 3*T2^8 + 
      18*T1*T2^8 - 80*T1^2*T2^8 + 194*T1^3*T2^8 + 29*T1^4*T2^8 - 
      1230*T1^5*T2^8 + 872*T1^6*T2^8 + 1176*T1^7*T2^8 - 2748*T1^8*T2^8 + 
      1176*T1^9*T2^8 + 872*T1^10*T2^8 - 1230*T1^11*T2^8 + 29*T1^12*T2^8 + 
      194*T1^13*T2^8 - 80*T1^14*T2^8 + 18*T1^15*T2^8 + 3*T1^16*T2^8 - 
      9*T1*T2^9 + 27*T1^2*T2^9 + T1^3*T2^9 - 323*T1^4*T2^9 + 625*T1^5*T2^9 + 
      623*T1^6*T2^9 - 1840*T1^7*T2^9 + 1176*T1^8*T2^9 + 1176*T1^9*T2^9 - 
      1840*T1^10*T2^9 + 623*T1^11*T2^9 + 625*T1^12*T2^9 - 323*T1^13*T2^9 + 
      T1^14*T2^9 + 27*T1^15*T2^9 - 9*T1^16*T2^9 - 72*T1^3*T2^10 + 
      206*T1^4*T2^10 + 159*T1^5*T2^10 - 921*T1^6*T2^10 + 623*T1^7*T2^10 + 
      872*T1^8*T2^10 - 1840*T1^9*T2^10 + 872*T1^10*T2^10 + 623*T1^11*T2^10 - 
      921*T1^12*T2^10 + 159*T1^13*T2^10 + 206*T1^14*T2^10 - 72*T1^15*T2^10 + 
      24*T1^3*T2^11 + 45*T1^4*T2^11 - 336*T1^5*T2^11 + 159*T1^6*T2^11 + 
      625*T1^7*T2^11 - 1230*T1^8*T2^11 + 623*T1^9*T2^11 + 623*T1^10*T2^11 - 
      1230*T1^11*T2^11 + 625*T1^12*T2^11 + 159*T1^13*T2^11 - 
      336*T1^14*T2^11 + 45*T1^15*T2^11 + 24*T1^16*T2^11 - 39*T1^4*T2^12 + 
      45*T1^5*T2^12 + 206*T1^6*T2^12 - 323*T1^7*T2^12 + 29*T1^8*T2^12 + 
      625*T1^9*T2^12 - 921*T1^10*T2^12 + 625*T1^11*T2^12 + 29*T1^12*T2^12 - 
      323*T1^13*T2^12 + 206*T1^14*T2^12 + 45*T1^15*T2^12 - 39*T1^16*T2^12 + 
      24*T1^5*T2^13 - 72*T1^6*T2^13 + T1^7*T2^13 + 194*T1^8*T2^13 - 
      323*T1^9*T2^13 + 159*T1^10*T2^13 + 159*T1^11*T2^13 - 323*T1^12*T2^13 + 
      194*T1^13*T2^13 + T1^14*T2^13 - 72*T1^15*T2^13 + 24*T1^16*T2^13 + 
      27*T1^7*T2^14 - 80*T1^8*T2^14 + T1^9*T2^14 + 206*T1^10*T2^14 - 
      336*T1^11*T2^14 + 206*T1^12*T2^14 + T1^13*T2^14 - 80*T1^14*T2^14 + 
      27*T1^15*T2^14 - 9*T1^7*T2^15 + 18*T1^8*T2^15 + 27*T1^9*T2^15 - 
      72*T1^10*T2^15 + 45*T1^11*T2^15 + 45*T1^12*T2^15 - 72*T1^13*T2^15 + 
      27*T1^14*T2^15 + 18*T1^15*T2^15 - 9*T1^16*T2^15 + 3*T1^8*T2^16 - 
      9*T1^9*T2^16 + 24*T1^11*T2^16 - 39*T1^12*T2^16 + 24*T1^13*T2^16 - 
      9*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 60] -> 
  {-(((1 - T + T^2)^2*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^4), 
   -((1 - 5*T1 + 12*T1^2 - 20*T1^3 + 23*T1^4 - 20*T1^5 + 12*T1^6 - 5*T1^7 + 
      T1^8 - 5*T2 + 20*T1*T2 - 35*T1^2*T2 + 40*T1^3*T2 - 15*T1^4*T2 - 
      15*T1^5*T2 + 40*T1^6*T2 - 35*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
      12*T2^2 - 35*T1*T2^2 + 31*T1^2*T2^2 + 4*T1^3*T2^2 - 94*T1^4*T2^2 + 
      117*T1^5*T2^2 - 94*T1^6*T2^2 + 4*T1^7*T2^2 + 31*T1^8*T2^2 - 
      35*T1^9*T2^2 + 12*T1^10*T2^2 - 20*T2^3 + 40*T1*T2^3 + 4*T1^2*T2^3 - 
      68*T1^3*T2^3 + 174*T1^4*T2^3 - 60*T1^5*T2^3 - 60*T1^6*T2^3 + 
      174*T1^7*T2^3 - 68*T1^8*T2^3 + 4*T1^9*T2^3 + 40*T1^10*T2^3 - 
      20*T1^11*T2^3 + 23*T2^4 - 15*T1*T2^4 - 94*T1^2*T2^4 + 174*T1^3*T2^4 - 
      245*T1^4*T2^4 - 45*T1^5*T2^4 + 115*T1^6*T2^4 - 45*T1^7*T2^4 - 
      245*T1^8*T2^4 + 174*T1^9*T2^4 - 94*T1^10*T2^4 - 15*T1^11*T2^4 + 
      23*T1^12*T2^4 - 20*T2^5 - 15*T1*T2^5 + 117*T1^2*T2^5 - 60*T1^3*T2^5 - 
      45*T1^4*T2^5 + 424*T1^5*T2^5 - 182*T1^6*T2^5 - 182*T1^7*T2^5 + 
      424*T1^8*T2^5 - 45*T1^9*T2^5 - 60*T1^10*T2^5 + 117*T1^11*T2^5 - 
      15*T1^12*T2^5 - 20*T1^13*T2^5 + 12*T2^6 + 40*T1*T2^6 - 94*T1^2*T2^6 - 
      60*T1^3*T2^6 + 115*T1^4*T2^6 - 182*T1^5*T2^6 - 486*T1^6*T2^6 + 
      788*T1^7*T2^6 - 486*T1^8*T2^6 - 182*T1^9*T2^6 + 115*T1^10*T2^6 - 
      60*T1^11*T2^6 - 94*T1^12*T2^6 + 40*T1^13*T2^6 + 12*T1^14*T2^6 - 
      5*T2^7 - 35*T1*T2^7 + 4*T1^2*T2^7 + 174*T1^3*T2^7 - 45*T1^4*T2^7 - 
      182*T1^5*T2^7 + 788*T1^6*T2^7 - 432*T1^7*T2^7 - 432*T1^8*T2^7 + 
      788*T1^9*T2^7 - 182*T1^10*T2^7 - 45*T1^11*T2^7 + 174*T1^12*T2^7 + 
      4*T1^13*T2^7 - 35*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 
      31*T1^2*T2^8 - 68*T1^3*T2^8 - 245*T1^4*T2^8 + 424*T1^5*T2^8 - 
      486*T1^6*T2^8 - 432*T1^7*T2^8 + 984*T1^8*T2^8 - 432*T1^9*T2^8 - 
      486*T1^10*T2^8 + 424*T1^11*T2^8 - 245*T1^12*T2^8 - 68*T1^13*T2^8 + 
      31*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 35*T1^2*T2^9 + 
      4*T1^3*T2^9 + 174*T1^4*T2^9 - 45*T1^5*T2^9 - 182*T1^6*T2^9 + 
      788*T1^7*T2^9 - 432*T1^8*T2^9 - 432*T1^9*T2^9 + 788*T1^10*T2^9 - 
      182*T1^11*T2^9 - 45*T1^12*T2^9 + 174*T1^13*T2^9 + 4*T1^14*T2^9 - 
      35*T1^15*T2^9 - 5*T1^16*T2^9 + 12*T1^2*T2^10 + 40*T1^3*T2^10 - 
      94*T1^4*T2^10 - 60*T1^5*T2^10 + 115*T1^6*T2^10 - 182*T1^7*T2^10 - 
      486*T1^8*T2^10 + 788*T1^9*T2^10 - 486*T1^10*T2^10 - 182*T1^11*T2^10 + 
      115*T1^12*T2^10 - 60*T1^13*T2^10 - 94*T1^14*T2^10 + 40*T1^15*T2^10 + 
      12*T1^16*T2^10 - 20*T1^3*T2^11 - 15*T1^4*T2^11 + 117*T1^5*T2^11 - 
      60*T1^6*T2^11 - 45*T1^7*T2^11 + 424*T1^8*T2^11 - 182*T1^9*T2^11 - 
      182*T1^10*T2^11 + 424*T1^11*T2^11 - 45*T1^12*T2^11 - 60*T1^13*T2^11 + 
      117*T1^14*T2^11 - 15*T1^15*T2^11 - 20*T1^16*T2^11 + 23*T1^4*T2^12 - 
      15*T1^5*T2^12 - 94*T1^6*T2^12 + 174*T1^7*T2^12 - 245*T1^8*T2^12 - 
      45*T1^9*T2^12 + 115*T1^10*T2^12 - 45*T1^11*T2^12 - 245*T1^12*T2^12 + 
      174*T1^13*T2^12 - 94*T1^14*T2^12 - 15*T1^15*T2^12 + 23*T1^16*T2^12 - 
      20*T1^5*T2^13 + 40*T1^6*T2^13 + 4*T1^7*T2^13 - 68*T1^8*T2^13 + 
      174*T1^9*T2^13 - 60*T1^10*T2^13 - 60*T1^11*T2^13 + 174*T1^12*T2^13 - 
      68*T1^13*T2^13 + 4*T1^14*T2^13 + 40*T1^15*T2^13 - 20*T1^16*T2^13 + 
      12*T1^6*T2^14 - 35*T1^7*T2^14 + 31*T1^8*T2^14 + 4*T1^9*T2^14 - 
      94*T1^10*T2^14 + 117*T1^11*T2^14 - 94*T1^12*T2^14 + 4*T1^13*T2^14 + 
      31*T1^14*T2^14 - 35*T1^15*T2^14 + 12*T1^16*T2^14 - 5*T1^7*T2^15 + 
      20*T1^8*T2^15 - 35*T1^9*T2^15 + 40*T1^10*T2^15 - 15*T1^11*T2^15 - 
      15*T1^12*T2^15 + 40*T1^13*T2^15 - 35*T1^14*T2^15 + 20*T1^15*T2^15 - 
      5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 12*T1^10*T2^16 - 
      20*T1^11*T2^16 + 23*T1^12*T2^16 - 20*T1^13*T2^16 + 12*T1^14*T2^16 - 
      5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 61] -> 
  {-(((1 - T + T^2)^2*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^4), 
   -((1 - 5*T1 + 12*T1^2 - 20*T1^3 + 23*T1^4 - 20*T1^5 + 12*T1^6 - 5*T1^7 + 
      T1^8 - 5*T2 + 20*T1*T2 - 35*T1^2*T2 + 40*T1^3*T2 - 15*T1^4*T2 - 
      15*T1^5*T2 + 40*T1^6*T2 - 35*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
      12*T2^2 - 35*T1*T2^2 + 31*T1^2*T2^2 + 4*T1^3*T2^2 - 94*T1^4*T2^2 + 
      117*T1^5*T2^2 - 94*T1^6*T2^2 + 4*T1^7*T2^2 + 31*T1^8*T2^2 - 
      35*T1^9*T2^2 + 12*T1^10*T2^2 - 20*T2^3 + 40*T1*T2^3 + 4*T1^2*T2^3 - 
      68*T1^3*T2^3 + 174*T1^4*T2^3 - 60*T1^5*T2^3 - 60*T1^6*T2^3 + 
      174*T1^7*T2^3 - 68*T1^8*T2^3 + 4*T1^9*T2^3 + 40*T1^10*T2^3 - 
      20*T1^11*T2^3 + 23*T2^4 - 15*T1*T2^4 - 94*T1^2*T2^4 + 174*T1^3*T2^4 - 
      245*T1^4*T2^4 - 45*T1^5*T2^4 + 115*T1^6*T2^4 - 45*T1^7*T2^4 - 
      245*T1^8*T2^4 + 174*T1^9*T2^4 - 94*T1^10*T2^4 - 15*T1^11*T2^4 + 
      23*T1^12*T2^4 - 20*T2^5 - 15*T1*T2^5 + 117*T1^2*T2^5 - 60*T1^3*T2^5 - 
      45*T1^4*T2^5 + 424*T1^5*T2^5 - 182*T1^6*T2^5 - 182*T1^7*T2^5 + 
      424*T1^8*T2^5 - 45*T1^9*T2^5 - 60*T1^10*T2^5 + 117*T1^11*T2^5 - 
      15*T1^12*T2^5 - 20*T1^13*T2^5 + 12*T2^6 + 40*T1*T2^6 - 94*T1^2*T2^6 - 
      60*T1^3*T2^6 + 115*T1^4*T2^6 - 182*T1^5*T2^6 - 486*T1^6*T2^6 + 
      788*T1^7*T2^6 - 486*T1^8*T2^6 - 182*T1^9*T2^6 + 115*T1^10*T2^6 - 
      60*T1^11*T2^6 - 94*T1^12*T2^6 + 40*T1^13*T2^6 + 12*T1^14*T2^6 - 
      5*T2^7 - 35*T1*T2^7 + 4*T1^2*T2^7 + 174*T1^3*T2^7 - 45*T1^4*T2^7 - 
      182*T1^5*T2^7 + 788*T1^6*T2^7 - 432*T1^7*T2^7 - 432*T1^8*T2^7 + 
      788*T1^9*T2^7 - 182*T1^10*T2^7 - 45*T1^11*T2^7 + 174*T1^12*T2^7 + 
      4*T1^13*T2^7 - 35*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 
      31*T1^2*T2^8 - 68*T1^3*T2^8 - 245*T1^4*T2^8 + 424*T1^5*T2^8 - 
      486*T1^6*T2^8 - 432*T1^7*T2^8 + 984*T1^8*T2^8 - 432*T1^9*T2^8 - 
      486*T1^10*T2^8 + 424*T1^11*T2^8 - 245*T1^12*T2^8 - 68*T1^13*T2^8 + 
      31*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 35*T1^2*T2^9 + 
      4*T1^3*T2^9 + 174*T1^4*T2^9 - 45*T1^5*T2^9 - 182*T1^6*T2^9 + 
      788*T1^7*T2^9 - 432*T1^8*T2^9 - 432*T1^9*T2^9 + 788*T1^10*T2^9 - 
      182*T1^11*T2^9 - 45*T1^12*T2^9 + 174*T1^13*T2^9 + 4*T1^14*T2^9 - 
      35*T1^15*T2^9 - 5*T1^16*T2^9 + 12*T1^2*T2^10 + 40*T1^3*T2^10 - 
      94*T1^4*T2^10 - 60*T1^5*T2^10 + 115*T1^6*T2^10 - 182*T1^7*T2^10 - 
      486*T1^8*T2^10 + 788*T1^9*T2^10 - 486*T1^10*T2^10 - 182*T1^11*T2^10 + 
      115*T1^12*T2^10 - 60*T1^13*T2^10 - 94*T1^14*T2^10 + 40*T1^15*T2^10 + 
      12*T1^16*T2^10 - 20*T1^3*T2^11 - 15*T1^4*T2^11 + 117*T1^5*T2^11 - 
      60*T1^6*T2^11 - 45*T1^7*T2^11 + 424*T1^8*T2^11 - 182*T1^9*T2^11 - 
      182*T1^10*T2^11 + 424*T1^11*T2^11 - 45*T1^12*T2^11 - 60*T1^13*T2^11 + 
      117*T1^14*T2^11 - 15*T1^15*T2^11 - 20*T1^16*T2^11 + 23*T1^4*T2^12 - 
      15*T1^5*T2^12 - 94*T1^6*T2^12 + 174*T1^7*T2^12 - 245*T1^8*T2^12 - 
      45*T1^9*T2^12 + 115*T1^10*T2^12 - 45*T1^11*T2^12 - 245*T1^12*T2^12 + 
      174*T1^13*T2^12 - 94*T1^14*T2^12 - 15*T1^15*T2^12 + 23*T1^16*T2^12 - 
      20*T1^5*T2^13 + 40*T1^6*T2^13 + 4*T1^7*T2^13 - 68*T1^8*T2^13 + 
      174*T1^9*T2^13 - 60*T1^10*T2^13 - 60*T1^11*T2^13 + 174*T1^12*T2^13 - 
      68*T1^13*T2^13 + 4*T1^14*T2^13 + 40*T1^15*T2^13 - 20*T1^16*T2^13 + 
      12*T1^6*T2^14 - 35*T1^7*T2^14 + 31*T1^8*T2^14 + 4*T1^9*T2^14 - 
      94*T1^10*T2^14 + 117*T1^11*T2^14 - 94*T1^12*T2^14 + 4*T1^13*T2^14 + 
      31*T1^14*T2^14 - 35*T1^15*T2^14 + 12*T1^16*T2^14 - 5*T1^7*T2^15 + 
      20*T1^8*T2^15 - 35*T1^9*T2^15 + 40*T1^10*T2^15 - 15*T1^11*T2^15 - 
      15*T1^12*T2^15 + 40*T1^13*T2^15 - 35*T1^14*T2^15 + 20*T1^15*T2^15 - 
      5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 12*T1^10*T2^16 - 
      20*T1^11*T2^16 + 23*T1^12*T2^16 - 20*T1^13*T2^16 + 12*T1^14*T2^16 - 
      5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 62] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)^2)/T^3), 
   -((1 - 5*T1 + 10*T1^2 - 13*T1^3 + 10*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
      20*T1*T2 - 25*T1^2*T2 + 15*T1^3*T2 + 15*T1^4*T2 - 25*T1^5*T2 + 
      20*T1^6*T2 - 5*T1^7*T2 + 10*T2^2 - 25*T1*T2^2 + 10*T1^2*T2^2 - 
      28*T1^3*T2^2 + 14*T1^4*T2^2 - 28*T1^5*T2^2 + 10*T1^6*T2^2 - 
      25*T1^7*T2^2 + 10*T1^8*T2^2 - 13*T2^3 + 15*T1*T2^3 - 28*T1^2*T2^3 + 
      190*T1^3*T2^3 - 69*T1^4*T2^3 - 69*T1^5*T2^3 + 190*T1^6*T2^3 - 
      28*T1^7*T2^3 + 15*T1^8*T2^3 - 13*T1^9*T2^3 + 10*T2^4 + 15*T1*T2^4 + 
      14*T1^2*T2^4 - 69*T1^3*T2^4 - 652*T1^4*T2^4 + 884*T1^5*T2^4 - 
      652*T1^6*T2^4 - 69*T1^7*T2^4 + 14*T1^8*T2^4 + 15*T1^9*T2^4 + 
      10*T1^10*T2^4 - 5*T2^5 - 25*T1*T2^5 - 28*T1^2*T2^5 - 69*T1^3*T2^5 + 
      884*T1^4*T2^5 - 344*T1^5*T2^5 - 344*T1^6*T2^5 + 884*T1^7*T2^5 - 
      69*T1^8*T2^5 - 28*T1^9*T2^5 - 25*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
      20*T1*T2^6 + 10*T1^2*T2^6 + 190*T1^3*T2^6 - 652*T1^4*T2^6 - 
      344*T1^5*T2^6 + 564*T1^6*T2^6 - 344*T1^7*T2^6 - 652*T1^8*T2^6 + 
      190*T1^9*T2^6 + 10*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 
      5*T1*T2^7 - 25*T1^2*T2^7 - 28*T1^3*T2^7 - 69*T1^4*T2^7 + 
      884*T1^5*T2^7 - 344*T1^6*T2^7 - 344*T1^7*T2^7 + 884*T1^8*T2^7 - 
      69*T1^9*T2^7 - 28*T1^10*T2^7 - 25*T1^11*T2^7 - 5*T1^12*T2^7 + 
      10*T1^2*T2^8 + 15*T1^3*T2^8 + 14*T1^4*T2^8 - 69*T1^5*T2^8 - 
      652*T1^6*T2^8 + 884*T1^7*T2^8 - 652*T1^8*T2^8 - 69*T1^9*T2^8 + 
      14*T1^10*T2^8 + 15*T1^11*T2^8 + 10*T1^12*T2^8 - 13*T1^3*T2^9 + 
      15*T1^4*T2^9 - 28*T1^5*T2^9 + 190*T1^6*T2^9 - 69*T1^7*T2^9 - 
      69*T1^8*T2^9 + 190*T1^9*T2^9 - 28*T1^10*T2^9 + 15*T1^11*T2^9 - 
      13*T1^12*T2^9 + 10*T1^4*T2^10 - 25*T1^5*T2^10 + 10*T1^6*T2^10 - 
      28*T1^7*T2^10 + 14*T1^8*T2^10 - 28*T1^9*T2^10 + 10*T1^10*T2^10 - 
      25*T1^11*T2^10 + 10*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 
      25*T1^7*T2^11 + 15*T1^8*T2^11 + 15*T1^9*T2^11 - 25*T1^10*T2^11 + 
      20*T1^11*T2^11 - 5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 
      10*T1^8*T2^12 - 13*T1^9*T2^12 + 10*T1^10*T2^12 - 5*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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 - 20*T1^2*T2^2 + 56*T1^3*T2^2 - 70*T1^4*T2^2 + 
      56*T1^5*T2^2 - 20*T1^6*T2^2 + 2*T1^7*T2^2 + T1^8*T2^2 - 2*T2^3 + 
      56*T1^2*T2^3 - 119*T1^3*T2^3 + 38*T1^4*T2^3 + 38*T1^5*T2^3 - 
      119*T1^6*T2^3 + 56*T1^7*T2^3 - 2*T1^9*T2^3 + T2^4 - 70*T1^2*T2^4 + 
      38*T1^3*T2^4 + 244*T1^4*T2^4 - 266*T1^5*T2^4 + 244*T1^6*T2^4 + 
      38*T1^7*T2^4 - 70*T1^8*T2^4 + T1^10*T2^4 + 2*T1*T2^5 + 56*T1^2*T2^5 + 
      38*T1^3*T2^5 - 266*T1^4*T2^5 + 28*T1^5*T2^5 + 28*T1^6*T2^5 - 
      266*T1^7*T2^5 + 38*T1^8*T2^5 + 56*T1^9*T2^5 + 2*T1^10*T2^5 - 
      2*T1*T2^6 - 20*T1^2*T2^6 - 119*T1^3*T2^6 + 244*T1^4*T2^6 + 
      28*T1^5*T2^6 + 78*T1^6*T2^6 + 28*T1^7*T2^6 + 244*T1^8*T2^6 - 
      119*T1^9*T2^6 - 20*T1^10*T2^6 - 2*T1^11*T2^6 + 2*T1^2*T2^7 + 
      56*T1^3*T2^7 + 38*T1^4*T2^7 - 266*T1^5*T2^7 + 28*T1^6*T2^7 + 
      28*T1^7*T2^7 - 266*T1^8*T2^7 + 38*T1^9*T2^7 + 56*T1^10*T2^7 + 
      2*T1^11*T2^7 + T1^2*T2^8 - 70*T1^4*T2^8 + 38*T1^5*T2^8 + 
      244*T1^6*T2^8 - 266*T1^7*T2^8 + 244*T1^8*T2^8 + 38*T1^9*T2^8 - 
      70*T1^10*T2^8 + T1^12*T2^8 - 2*T1^3*T2^9 + 56*T1^5*T2^9 - 
      119*T1^6*T2^9 + 38*T1^7*T2^9 + 38*T1^8*T2^9 - 119*T1^9*T2^9 + 
      56*T1^10*T2^9 - 2*T1^12*T2^9 + T1^4*T2^10 + 2*T1^5*T2^10 - 
      20*T1^6*T2^10 + 56*T1^7*T2^10 - 70*T1^8*T2^10 + 56*T1^9*T2^10 - 
      20*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))/(T1^6*T2^6)}, 
 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, 
   (2*(1 - 5*T1 + 10*T1^2 - 12*T1^3 + 13*T1^4 - 12*T1^5 + 10*T1^6 - 5*T1^7 + 
      T1^8 - 5*T2 + 20*T1*T2 - 25*T1^2*T2 + 10*T1^3*T2 - 5*T1^4*T2 - 
      5*T1^5*T2 + 10*T1^6*T2 - 25*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
      10*T2^2 - 25*T1*T2^2 - 15*T1^2*T2^2 + 81*T1^3*T2^2 - 74*T1^4*T2^2 + 
      89*T1^5*T2^2 - 74*T1^6*T2^2 + 81*T1^7*T2^2 - 15*T1^8*T2^2 - 
      25*T1^9*T2^2 + 10*T1^10*T2^2 - 12*T2^3 + 10*T1*T2^3 + 81*T1^2*T2^3 - 
      124*T1^3*T2^3 + 16*T1^4*T2^3 - 25*T1^5*T2^3 - 25*T1^6*T2^3 + 
      16*T1^7*T2^3 - 124*T1^8*T2^3 + 81*T1^9*T2^3 + 10*T1^10*T2^3 - 
      12*T1^11*T2^3 + 13*T2^4 - 5*T1*T2^4 - 74*T1^2*T2^4 + 16*T1^3*T2^4 + 
      159*T1^4*T2^4 - 84*T1^5*T2^4 + 135*T1^6*T2^4 - 84*T1^7*T2^4 + 
      159*T1^8*T2^4 + 16*T1^9*T2^4 - 74*T1^10*T2^4 - 5*T1^11*T2^4 + 
      13*T1^12*T2^4 - 12*T2^5 - 5*T1*T2^5 + 89*T1^2*T2^5 - 25*T1^3*T2^5 - 
      84*T1^4*T2^5 - 59*T1^5*T2^5 - 26*T1^6*T2^5 - 26*T1^7*T2^5 - 
      59*T1^8*T2^5 - 84*T1^9*T2^5 - 25*T1^10*T2^5 + 89*T1^11*T2^5 - 
      5*T1^12*T2^5 - 12*T1^13*T2^5 + 10*T2^6 + 10*T1*T2^6 - 74*T1^2*T2^6 - 
      25*T1^3*T2^6 + 135*T1^4*T2^6 - 26*T1^5*T2^6 + 152*T1^6*T2^6 - 
      90*T1^7*T2^6 + 152*T1^8*T2^6 - 26*T1^9*T2^6 + 135*T1^10*T2^6 - 
      25*T1^11*T2^6 - 74*T1^12*T2^6 + 10*T1^13*T2^6 + 10*T1^14*T2^6 - 
      5*T2^7 - 25*T1*T2^7 + 81*T1^2*T2^7 + 16*T1^3*T2^7 - 84*T1^4*T2^7 - 
      26*T1^5*T2^7 - 90*T1^6*T2^7 - 8*T1^7*T2^7 - 8*T1^8*T2^7 - 
      90*T1^9*T2^7 - 26*T1^10*T2^7 - 84*T1^11*T2^7 + 16*T1^12*T2^7 + 
      81*T1^13*T2^7 - 25*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 - 
      15*T1^2*T2^8 - 124*T1^3*T2^8 + 159*T1^4*T2^8 - 59*T1^5*T2^8 + 
      152*T1^6*T2^8 - 8*T1^7*T2^8 + 30*T1^8*T2^8 - 8*T1^9*T2^8 + 
      152*T1^10*T2^8 - 59*T1^11*T2^8 + 159*T1^12*T2^8 - 124*T1^13*T2^8 - 
      15*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 25*T1^2*T2^9 + 
      81*T1^3*T2^9 + 16*T1^4*T2^9 - 84*T1^5*T2^9 - 26*T1^6*T2^9 - 
      90*T1^7*T2^9 - 8*T1^8*T2^9 - 8*T1^9*T2^9 - 90*T1^10*T2^9 - 
      26*T1^11*T2^9 - 84*T1^12*T2^9 + 16*T1^13*T2^9 + 81*T1^14*T2^9 - 
      25*T1^15*T2^9 - 5*T1^16*T2^9 + 10*T1^2*T2^10 + 10*T1^3*T2^10 - 
      74*T1^4*T2^10 - 25*T1^5*T2^10 + 135*T1^6*T2^10 - 26*T1^7*T2^10 + 
      152*T1^8*T2^10 - 90*T1^9*T2^10 + 152*T1^10*T2^10 - 26*T1^11*T2^10 + 
      135*T1^12*T2^10 - 25*T1^13*T2^10 - 74*T1^14*T2^10 + 10*T1^15*T2^10 + 
      10*T1^16*T2^10 - 12*T1^3*T2^11 - 5*T1^4*T2^11 + 89*T1^5*T2^11 - 
      25*T1^6*T2^11 - 84*T1^7*T2^11 - 59*T1^8*T2^11 - 26*T1^9*T2^11 - 
      26*T1^10*T2^11 - 59*T1^11*T2^11 - 84*T1^12*T2^11 - 25*T1^13*T2^11 + 
      89*T1^14*T2^11 - 5*T1^15*T2^11 - 12*T1^16*T2^11 + 13*T1^4*T2^12 - 
      5*T1^5*T2^12 - 74*T1^6*T2^12 + 16*T1^7*T2^12 + 159*T1^8*T2^12 - 
      84*T1^9*T2^12 + 135*T1^10*T2^12 - 84*T1^11*T2^12 + 159*T1^12*T2^12 + 
      16*T1^13*T2^12 - 74*T1^14*T2^12 - 5*T1^15*T2^12 + 13*T1^16*T2^12 - 
      12*T1^5*T2^13 + 10*T1^6*T2^13 + 81*T1^7*T2^13 - 124*T1^8*T2^13 + 
      16*T1^9*T2^13 - 25*T1^10*T2^13 - 25*T1^11*T2^13 + 16*T1^12*T2^13 - 
      124*T1^13*T2^13 + 81*T1^14*T2^13 + 10*T1^15*T2^13 - 12*T1^16*T2^13 + 
      10*T1^6*T2^14 - 25*T1^7*T2^14 - 15*T1^8*T2^14 + 81*T1^9*T2^14 - 
      74*T1^10*T2^14 + 89*T1^11*T2^14 - 74*T1^12*T2^14 + 81*T1^13*T2^14 - 
      15*T1^14*T2^14 - 25*T1^15*T2^14 + 10*T1^16*T2^14 - 5*T1^7*T2^15 + 
      20*T1^8*T2^15 - 25*T1^9*T2^15 + 10*T1^10*T2^15 - 5*T1^11*T2^15 - 
      5*T1^12*T2^15 + 10*T1^13*T2^15 - 25*T1^14*T2^15 + 20*T1^15*T2^15 - 
      5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 10*T1^10*T2^16 - 
      12*T1^11*T2^16 + 13*T1^12*T2^16 - 12*T1^13*T2^16 + 10*T1^14*T2^16 - 
      5*T1^15*T2^16 + T1^16*T2^16))/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 65] -> {-((2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4)/T^2), 
   (9 - 36*T1 + 49*T1^2 - 36*T1^3 + 9*T1^4 - 36*T2 + 108*T1*T2 - 56*T1^2*T2 - 
     56*T1^3*T2 + 108*T1^4*T2 - 36*T1^5*T2 + 49*T2^2 - 56*T1*T2^2 - 
     218*T1^2*T2^2 + 374*T1^3*T2^2 - 218*T1^4*T2^2 - 56*T1^5*T2^2 + 
     49*T1^6*T2^2 - 36*T2^3 - 56*T1*T2^3 + 374*T1^2*T2^3 - 236*T1^3*T2^3 - 
     236*T1^4*T2^3 + 374*T1^5*T2^3 - 56*T1^6*T2^3 - 36*T1^7*T2^3 + 9*T2^4 + 
     108*T1*T2^4 - 218*T1^2*T2^4 - 236*T1^3*T2^4 + 588*T1^4*T2^4 - 
     236*T1^5*T2^4 - 218*T1^6*T2^4 + 108*T1^7*T2^4 + 9*T1^8*T2^4 - 
     36*T1*T2^5 - 56*T1^2*T2^5 + 374*T1^3*T2^5 - 236*T1^4*T2^5 - 
     236*T1^5*T2^5 + 374*T1^6*T2^5 - 56*T1^7*T2^5 - 36*T1^8*T2^5 + 
     49*T1^2*T2^6 - 56*T1^3*T2^6 - 218*T1^4*T2^6 + 374*T1^5*T2^6 - 
     218*T1^6*T2^6 - 56*T1^7*T2^6 + 49*T1^8*T2^6 - 36*T1^3*T2^7 + 
     108*T1^4*T2^7 - 56*T1^5*T2^7 - 56*T1^6*T2^7 + 108*T1^7*T2^7 - 
     36*T1^8*T2^7 + 9*T1^4*T2^8 - 36*T1^5*T2^8 + 49*T1^6*T2^8 - 
     36*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 66] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)^2)/T^3), 
   -((1 - 5*T1 + 10*T1^2 - 13*T1^3 + 10*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
      20*T1*T2 - 25*T1^2*T2 + 15*T1^3*T2 + 15*T1^4*T2 - 25*T1^5*T2 + 
      20*T1^6*T2 - 5*T1^7*T2 + 10*T2^2 - 25*T1*T2^2 + 10*T1^2*T2^2 - 
      28*T1^3*T2^2 + 14*T1^4*T2^2 - 28*T1^5*T2^2 + 10*T1^6*T2^2 - 
      25*T1^7*T2^2 + 10*T1^8*T2^2 - 13*T2^3 + 15*T1*T2^3 - 28*T1^2*T2^3 + 
      190*T1^3*T2^3 - 69*T1^4*T2^3 - 69*T1^5*T2^3 + 190*T1^6*T2^3 - 
      28*T1^7*T2^3 + 15*T1^8*T2^3 - 13*T1^9*T2^3 + 10*T2^4 + 15*T1*T2^4 + 
      14*T1^2*T2^4 - 69*T1^3*T2^4 - 652*T1^4*T2^4 + 884*T1^5*T2^4 - 
      652*T1^6*T2^4 - 69*T1^7*T2^4 + 14*T1^8*T2^4 + 15*T1^9*T2^4 + 
      10*T1^10*T2^4 - 5*T2^5 - 25*T1*T2^5 - 28*T1^2*T2^5 - 69*T1^3*T2^5 + 
      884*T1^4*T2^5 - 344*T1^5*T2^5 - 344*T1^6*T2^5 + 884*T1^7*T2^5 - 
      69*T1^8*T2^5 - 28*T1^9*T2^5 - 25*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
      20*T1*T2^6 + 10*T1^2*T2^6 + 190*T1^3*T2^6 - 652*T1^4*T2^6 - 
      344*T1^5*T2^6 + 564*T1^6*T2^6 - 344*T1^7*T2^6 - 652*T1^8*T2^6 + 
      190*T1^9*T2^6 + 10*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 
      5*T1*T2^7 - 25*T1^2*T2^7 - 28*T1^3*T2^7 - 69*T1^4*T2^7 + 
      884*T1^5*T2^7 - 344*T1^6*T2^7 - 344*T1^7*T2^7 + 884*T1^8*T2^7 - 
      69*T1^9*T2^7 - 28*T1^10*T2^7 - 25*T1^11*T2^7 - 5*T1^12*T2^7 + 
      10*T1^2*T2^8 + 15*T1^3*T2^8 + 14*T1^4*T2^8 - 69*T1^5*T2^8 - 
      652*T1^6*T2^8 + 884*T1^7*T2^8 - 652*T1^8*T2^8 - 69*T1^9*T2^8 + 
      14*T1^10*T2^8 + 15*T1^11*T2^8 + 10*T1^12*T2^8 - 13*T1^3*T2^9 + 
      15*T1^4*T2^9 - 28*T1^5*T2^9 + 190*T1^6*T2^9 - 69*T1^7*T2^9 - 
      69*T1^8*T2^9 + 190*T1^9*T2^9 - 28*T1^10*T2^9 + 15*T1^11*T2^9 - 
      13*T1^12*T2^9 + 10*T1^4*T2^10 - 25*T1^5*T2^10 + 10*T1^6*T2^10 - 
      28*T1^7*T2^10 + 14*T1^8*T2^10 - 28*T1^9*T2^10 + 10*T1^10*T2^10 - 
      25*T1^11*T2^10 + 10*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 
      25*T1^7*T2^11 + 15*T1^8*T2^11 + 15*T1^9*T2^11 - 25*T1^10*T2^11 + 
      20*T1^11*T2^11 - 5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 
      10*T1^8*T2^12 - 13*T1^9*T2^12 + 10*T1^10*T2^12 - 5*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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), 
   (3 - 15*T1 + 24*T1^2 - 24*T1^3 + 21*T1^4 - 24*T1^5 + 24*T1^6 - 15*T1^7 + 
     3*T1^8 - 15*T2 + 60*T1*T2 - 45*T1^2*T2 + 15*T1^4*T2 + 15*T1^5*T2 - 
     45*T1^7*T2 + 60*T1^8*T2 - 15*T1^9*T2 + 24*T2^2 - 45*T1*T2^2 - 
     155*T1^2*T2^2 + 280*T1^3*T2^2 - 226*T1^4*T2^2 + 125*T1^5*T2^2 - 
     226*T1^6*T2^2 + 280*T1^7*T2^2 - 155*T1^8*T2^2 - 45*T1^9*T2^2 + 
     24*T1^10*T2^2 - 24*T2^3 + 280*T1^2*T2^3 - 198*T1^3*T2^3 - 42*T1^4*T2^3 + 
     114*T1^5*T2^3 + 114*T1^6*T2^3 - 42*T1^7*T2^3 - 198*T1^8*T2^3 + 
     280*T1^9*T2^3 - 24*T1^11*T2^3 + 21*T2^4 + 15*T1*T2^4 - 226*T1^2*T2^4 - 
     42*T1^3*T2^4 + 195*T1^4*T2^4 - 87*T1^5*T2^4 - 135*T1^6*T2^4 - 
     87*T1^7*T2^4 + 195*T1^8*T2^4 - 42*T1^9*T2^4 - 226*T1^10*T2^4 + 
     15*T1^11*T2^4 + 21*T1^12*T2^4 - 24*T2^5 + 15*T1*T2^5 + 125*T1^2*T2^5 + 
     114*T1^3*T2^5 - 87*T1^4*T2^5 - 24*T1^5*T2^5 + 104*T1^6*T2^5 + 
     104*T1^7*T2^5 - 24*T1^8*T2^5 - 87*T1^9*T2^5 + 114*T1^10*T2^5 + 
     125*T1^11*T2^5 + 15*T1^12*T2^5 - 24*T1^13*T2^5 + 24*T2^6 - 
     226*T1^2*T2^6 + 114*T1^3*T2^6 - 135*T1^4*T2^6 + 104*T1^5*T2^6 - 
     168*T1^6*T2^6 + 92*T1^7*T2^6 - 168*T1^8*T2^6 + 104*T1^9*T2^6 - 
     135*T1^10*T2^6 + 114*T1^11*T2^6 - 226*T1^12*T2^6 + 24*T1^14*T2^6 - 
     15*T2^7 - 45*T1*T2^7 + 280*T1^2*T2^7 - 42*T1^3*T2^7 - 87*T1^4*T2^7 + 
     104*T1^5*T2^7 + 92*T1^6*T2^7 - 26*T1^7*T2^7 - 26*T1^8*T2^7 + 
     92*T1^9*T2^7 + 104*T1^10*T2^7 - 87*T1^11*T2^7 - 42*T1^12*T2^7 + 
     280*T1^13*T2^7 - 45*T1^14*T2^7 - 15*T1^15*T2^7 + 3*T2^8 + 60*T1*T2^8 - 
     155*T1^2*T2^8 - 198*T1^3*T2^8 + 195*T1^4*T2^8 - 24*T1^5*T2^8 - 
     168*T1^6*T2^8 - 26*T1^7*T2^8 + 84*T1^8*T2^8 - 26*T1^9*T2^8 - 
     168*T1^10*T2^8 - 24*T1^11*T2^8 + 195*T1^12*T2^8 - 198*T1^13*T2^8 - 
     155*T1^14*T2^8 + 60*T1^15*T2^8 + 3*T1^16*T2^8 - 15*T1*T2^9 - 
     45*T1^2*T2^9 + 280*T1^3*T2^9 - 42*T1^4*T2^9 - 87*T1^5*T2^9 + 
     104*T1^6*T2^9 + 92*T1^7*T2^9 - 26*T1^8*T2^9 - 26*T1^9*T2^9 + 
     92*T1^10*T2^9 + 104*T1^11*T2^9 - 87*T1^12*T2^9 - 42*T1^13*T2^9 + 
     280*T1^14*T2^9 - 45*T1^15*T2^9 - 15*T1^16*T2^9 + 24*T1^2*T2^10 - 
     226*T1^4*T2^10 + 114*T1^5*T2^10 - 135*T1^6*T2^10 + 104*T1^7*T2^10 - 
     168*T1^8*T2^10 + 92*T1^9*T2^10 - 168*T1^10*T2^10 + 104*T1^11*T2^10 - 
     135*T1^12*T2^10 + 114*T1^13*T2^10 - 226*T1^14*T2^10 + 24*T1^16*T2^10 - 
     24*T1^3*T2^11 + 15*T1^4*T2^11 + 125*T1^5*T2^11 + 114*T1^6*T2^11 - 
     87*T1^7*T2^11 - 24*T1^8*T2^11 + 104*T1^9*T2^11 + 104*T1^10*T2^11 - 
     24*T1^11*T2^11 - 87*T1^12*T2^11 + 114*T1^13*T2^11 + 125*T1^14*T2^11 + 
     15*T1^15*T2^11 - 24*T1^16*T2^11 + 21*T1^4*T2^12 + 15*T1^5*T2^12 - 
     226*T1^6*T2^12 - 42*T1^7*T2^12 + 195*T1^8*T2^12 - 87*T1^9*T2^12 - 
     135*T1^10*T2^12 - 87*T1^11*T2^12 + 195*T1^12*T2^12 - 42*T1^13*T2^12 - 
     226*T1^14*T2^12 + 15*T1^15*T2^12 + 21*T1^16*T2^12 - 24*T1^5*T2^13 + 
     280*T1^7*T2^13 - 198*T1^8*T2^13 - 42*T1^9*T2^13 + 114*T1^10*T2^13 + 
     114*T1^11*T2^13 - 42*T1^12*T2^13 - 198*T1^13*T2^13 + 280*T1^14*T2^13 - 
     24*T1^16*T2^13 + 24*T1^6*T2^14 - 45*T1^7*T2^14 - 155*T1^8*T2^14 + 
     280*T1^9*T2^14 - 226*T1^10*T2^14 + 125*T1^11*T2^14 - 226*T1^12*T2^14 + 
     280*T1^13*T2^14 - 155*T1^14*T2^14 - 45*T1^15*T2^14 + 24*T1^16*T2^14 - 
     15*T1^7*T2^15 + 60*T1^8*T2^15 - 45*T1^9*T2^15 + 15*T1^11*T2^15 + 
     15*T1^12*T2^15 - 45*T1^14*T2^15 + 60*T1^15*T2^15 - 15*T1^16*T2^15 + 
     3*T1^8*T2^16 - 15*T1^9*T2^16 + 24*T1^10*T2^16 - 24*T1^11*T2^16 + 
     21*T1^12*T2^16 - 24*T1^13*T2^16 + 24*T1^14*T2^16 - 15*T1^15*T2^16 + 
     3*T1^16*T2^16)/(T1^8*T2^8)}, 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), 
   -((3 - 15*T1 + 21*T1^2 - 12*T1^3 + 3*T1^4 - 12*T1^5 + 21*T1^6 - 15*T1^7 + 
      3*T1^8 - 15*T2 + 60*T1*T2 - 30*T1^2*T2 - 45*T1^3*T2 + 45*T1^4*T2 + 
      45*T1^5*T2 - 45*T1^6*T2 - 30*T1^7*T2 + 60*T1^8*T2 - 15*T1^9*T2 + 
      21*T2^2 - 30*T1*T2^2 - 202*T1^2*T2^2 + 326*T1^3*T2^2 - 121*T1^4*T2^2 - 
      102*T1^5*T2^2 - 121*T1^6*T2^2 + 326*T1^7*T2^2 - 202*T1^8*T2^2 - 
      30*T1^9*T2^2 + 21*T1^10*T2^2 - 12*T2^3 - 45*T1*T2^3 + 326*T1^2*T2^3 - 
      168*T1^3*T2^3 - 265*T1^4*T2^3 + 273*T1^5*T2^3 + 273*T1^6*T2^3 - 
      265*T1^7*T2^3 - 168*T1^8*T2^3 + 326*T1^9*T2^3 - 45*T1^10*T2^3 - 
      12*T1^11*T2^3 + 3*T2^4 + 45*T1*T2^4 - 121*T1^2*T2^4 - 265*T1^3*T2^4 + 
      491*T1^4*T2^4 - 129*T1^5*T2^4 - 285*T1^6*T2^4 - 129*T1^7*T2^4 + 
      491*T1^8*T2^4 - 265*T1^9*T2^4 - 121*T1^10*T2^4 + 45*T1^11*T2^4 + 
      3*T1^12*T2^4 - 12*T2^5 + 45*T1*T2^5 - 102*T1^2*T2^5 + 273*T1^3*T2^5 - 
      129*T1^4*T2^5 - 190*T1^5*T2^5 + 194*T1^6*T2^5 + 194*T1^7*T2^5 - 
      190*T1^8*T2^5 - 129*T1^9*T2^5 + 273*T1^10*T2^5 - 102*T1^11*T2^5 + 
      45*T1^12*T2^5 - 12*T1^13*T2^5 + 21*T2^6 - 45*T1*T2^6 - 121*T1^2*T2^6 + 
      273*T1^3*T2^6 - 285*T1^4*T2^6 + 194*T1^5*T2^6 - 176*T1^6*T2^6 + 
      170*T1^7*T2^6 - 176*T1^8*T2^6 + 194*T1^9*T2^6 - 285*T1^10*T2^6 + 
      273*T1^11*T2^6 - 121*T1^12*T2^6 - 45*T1^13*T2^6 + 21*T1^14*T2^6 - 
      15*T2^7 - 30*T1*T2^7 + 326*T1^2*T2^7 - 265*T1^3*T2^7 - 129*T1^4*T2^7 + 
      194*T1^5*T2^7 + 170*T1^6*T2^7 - 174*T1^7*T2^7 - 174*T1^8*T2^7 + 
      170*T1^9*T2^7 + 194*T1^10*T2^7 - 129*T1^11*T2^7 - 265*T1^12*T2^7 + 
      326*T1^13*T2^7 - 30*T1^14*T2^7 - 15*T1^15*T2^7 + 3*T2^8 + 60*T1*T2^8 - 
      202*T1^2*T2^8 - 168*T1^3*T2^8 + 491*T1^4*T2^8 - 190*T1^5*T2^8 - 
      176*T1^6*T2^8 - 174*T1^7*T2^8 + 516*T1^8*T2^8 - 174*T1^9*T2^8 - 
      176*T1^10*T2^8 - 190*T1^11*T2^8 + 491*T1^12*T2^8 - 168*T1^13*T2^8 - 
      202*T1^14*T2^8 + 60*T1^15*T2^8 + 3*T1^16*T2^8 - 15*T1*T2^9 - 
      30*T1^2*T2^9 + 326*T1^3*T2^9 - 265*T1^4*T2^9 - 129*T1^5*T2^9 + 
      194*T1^6*T2^9 + 170*T1^7*T2^9 - 174*T1^8*T2^9 - 174*T1^9*T2^9 + 
      170*T1^10*T2^9 + 194*T1^11*T2^9 - 129*T1^12*T2^9 - 265*T1^13*T2^9 + 
      326*T1^14*T2^9 - 30*T1^15*T2^9 - 15*T1^16*T2^9 + 21*T1^2*T2^10 - 
      45*T1^3*T2^10 - 121*T1^4*T2^10 + 273*T1^5*T2^10 - 285*T1^6*T2^10 + 
      194*T1^7*T2^10 - 176*T1^8*T2^10 + 170*T1^9*T2^10 - 176*T1^10*T2^10 + 
      194*T1^11*T2^10 - 285*T1^12*T2^10 + 273*T1^13*T2^10 - 121*T1^14*T2^10 - 
      45*T1^15*T2^10 + 21*T1^16*T2^10 - 12*T1^3*T2^11 + 45*T1^4*T2^11 - 
      102*T1^5*T2^11 + 273*T1^6*T2^11 - 129*T1^7*T2^11 - 190*T1^8*T2^11 + 
      194*T1^9*T2^11 + 194*T1^10*T2^11 - 190*T1^11*T2^11 - 129*T1^12*T2^11 + 
      273*T1^13*T2^11 - 102*T1^14*T2^11 + 45*T1^15*T2^11 - 12*T1^16*T2^11 + 
      3*T1^4*T2^12 + 45*T1^5*T2^12 - 121*T1^6*T2^12 - 265*T1^7*T2^12 + 
      491*T1^8*T2^12 - 129*T1^9*T2^12 - 285*T1^10*T2^12 - 129*T1^11*T2^12 + 
      491*T1^12*T2^12 - 265*T1^13*T2^12 - 121*T1^14*T2^12 + 45*T1^15*T2^12 + 
      3*T1^16*T2^12 - 12*T1^5*T2^13 - 45*T1^6*T2^13 + 326*T1^7*T2^13 - 
      168*T1^8*T2^13 - 265*T1^9*T2^13 + 273*T1^10*T2^13 + 273*T1^11*T2^13 - 
      265*T1^12*T2^13 - 168*T1^13*T2^13 + 326*T1^14*T2^13 - 45*T1^15*T2^13 - 
      12*T1^16*T2^13 + 21*T1^6*T2^14 - 30*T1^7*T2^14 - 202*T1^8*T2^14 + 
      326*T1^9*T2^14 - 121*T1^10*T2^14 - 102*T1^11*T2^14 - 121*T1^12*T2^14 + 
      326*T1^13*T2^14 - 202*T1^14*T2^14 - 30*T1^15*T2^14 + 21*T1^16*T2^14 - 
      15*T1^7*T2^15 + 60*T1^8*T2^15 - 30*T1^9*T2^15 - 45*T1^10*T2^15 + 
      45*T1^11*T2^15 + 45*T1^12*T2^15 - 45*T1^13*T2^15 - 30*T1^14*T2^15 + 
      60*T1^15*T2^15 - 15*T1^16*T2^15 + 3*T1^8*T2^16 - 15*T1^9*T2^16 + 
      21*T1^10*T2^16 - 12*T1^11*T2^16 + 3*T1^12*T2^16 - 12*T1^13*T2^16 + 
      21*T1^14*T2^16 - 15*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 69] -> 
  {-((1 - 7*T + 17*T^2 - 23*T^3 + 17*T^4 - 7*T^5 + T^6)/T^3), 
   -((T1 + T1^4 + T2 - 26*T1*T2 + 51*T1^2*T2 - 78*T1^3*T2 + 51*T1^4*T2 - 
      26*T1^5*T2 + T1^6*T2 + 51*T1*T2^2 - 34*T1^2*T2^2 + 51*T1^3*T2^2 + 
      51*T1^4*T2^2 - 34*T1^5*T2^2 + 51*T1^6*T2^2 - 78*T1*T2^3 + 
      51*T1^2*T2^3 - 284*T1^3*T2^3 + 222*T1^4*T2^3 - 284*T1^5*T2^3 + 
      51*T1^6*T2^3 - 78*T1^7*T2^3 + T2^4 + 51*T1*T2^4 + 51*T1^2*T2^4 + 
      222*T1^3*T2^4 + 44*T1^4*T2^4 + 44*T1^5*T2^4 + 222*T1^6*T2^4 + 
      51*T1^7*T2^4 + 51*T1^8*T2^4 + T1^9*T2^4 - 26*T1*T2^5 - 34*T1^2*T2^5 - 
      284*T1^3*T2^5 + 44*T1^4*T2^5 - 300*T1^5*T2^5 + 44*T1^6*T2^5 - 
      284*T1^7*T2^5 - 34*T1^8*T2^5 - 26*T1^9*T2^5 + T1*T2^6 + 51*T1^2*T2^6 + 
      51*T1^3*T2^6 + 222*T1^4*T2^6 + 44*T1^5*T2^6 + 44*T1^6*T2^6 + 
      222*T1^7*T2^6 + 51*T1^8*T2^6 + 51*T1^9*T2^6 + T1^10*T2^6 - 
      78*T1^3*T2^7 + 51*T1^4*T2^7 - 284*T1^5*T2^7 + 222*T1^6*T2^7 - 
      284*T1^7*T2^7 + 51*T1^8*T2^7 - 78*T1^9*T2^7 + 51*T1^4*T2^8 - 
      34*T1^5*T2^8 + 51*T1^6*T2^8 + 51*T1^7*T2^8 - 34*T1^8*T2^8 + 
      51*T1^9*T2^8 + T1^4*T2^9 - 26*T1^5*T2^9 + 51*T1^6*T2^9 - 78*T1^7*T2^9 + 
      51*T1^8*T2^9 - 26*T1^9*T2^9 + T1^10*T2^9 + T1^6*T2^10 + T1^9*T2^10)/
     (T1^5*T2^5))}, Knot[12, NonAlternating, 70] -> 
  {(1 - 7*T + 19*T^2 - 25*T^3 + 19*T^4 - 7*T^5 + T^6)/T^3, 
   (1 - 7*T1 + 19*T1^2 - 25*T1^3 + 19*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
     42*T1*T2 - 84*T1^2*T2 + 41*T1^3*T2 + 41*T1^4*T2 - 84*T1^5*T2 + 
     42*T1^6*T2 - 7*T1^7*T2 + 19*T2^2 - 84*T1*T2^2 + 37*T1^2*T2^2 + 
     328*T1^3*T2^2 - 491*T1^4*T2^2 + 328*T1^5*T2^2 + 37*T1^6*T2^2 - 
     84*T1^7*T2^2 + 19*T1^8*T2^2 - 25*T2^3 + 41*T1*T2^3 + 328*T1^2*T2^3 - 
     1010*T1^3*T2^3 + 459*T1^4*T2^3 + 459*T1^5*T2^3 - 1010*T1^6*T2^3 + 
     328*T1^7*T2^3 + 41*T1^8*T2^3 - 25*T1^9*T2^3 + 19*T2^4 + 41*T1*T2^4 - 
     491*T1^2*T2^4 + 459*T1^3*T2^4 + 1780*T1^4*T2^4 - 2624*T1^5*T2^4 + 
     1780*T1^6*T2^4 + 459*T1^7*T2^4 - 491*T1^8*T2^4 + 41*T1^9*T2^4 + 
     19*T1^10*T2^4 - 7*T2^5 - 84*T1*T2^5 + 328*T1^2*T2^5 + 459*T1^3*T2^5 - 
     2624*T1^4*T2^5 + 1116*T1^5*T2^5 + 1116*T1^6*T2^5 - 2624*T1^7*T2^5 + 
     459*T1^8*T2^5 + 328*T1^9*T2^5 - 84*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
     42*T1*T2^6 + 37*T1^2*T2^6 - 1010*T1^3*T2^6 + 1780*T1^4*T2^6 + 
     1116*T1^5*T2^6 - 2028*T1^6*T2^6 + 1116*T1^7*T2^6 + 1780*T1^8*T2^6 - 
     1010*T1^9*T2^6 + 37*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
     7*T1*T2^7 - 84*T1^2*T2^7 + 328*T1^3*T2^7 + 459*T1^4*T2^7 - 
     2624*T1^5*T2^7 + 1116*T1^6*T2^7 + 1116*T1^7*T2^7 - 2624*T1^8*T2^7 + 
     459*T1^9*T2^7 + 328*T1^10*T2^7 - 84*T1^11*T2^7 - 7*T1^12*T2^7 + 
     19*T1^2*T2^8 + 41*T1^3*T2^8 - 491*T1^4*T2^8 + 459*T1^5*T2^8 + 
     1780*T1^6*T2^8 - 2624*T1^7*T2^8 + 1780*T1^8*T2^8 + 459*T1^9*T2^8 - 
     491*T1^10*T2^8 + 41*T1^11*T2^8 + 19*T1^12*T2^8 - 25*T1^3*T2^9 + 
     41*T1^4*T2^9 + 328*T1^5*T2^9 - 1010*T1^6*T2^9 + 459*T1^7*T2^9 + 
     459*T1^8*T2^9 - 1010*T1^9*T2^9 + 328*T1^10*T2^9 + 41*T1^11*T2^9 - 
     25*T1^12*T2^9 + 19*T1^4*T2^10 - 84*T1^5*T2^10 + 37*T1^6*T2^10 + 
     328*T1^7*T2^10 - 491*T1^8*T2^10 + 328*T1^9*T2^10 + 37*T1^10*T2^10 - 
     84*T1^11*T2^10 + 19*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
     84*T1^7*T2^11 + 41*T1^8*T2^11 + 41*T1^9*T2^11 - 84*T1^10*T2^11 + 
     42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
     19*T1^8*T2^12 - 25*T1^9*T2^12 + 19*T1^10*T2^12 - 7*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, 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), 
   -((1 - 5*T1 + 9*T1^2 - 10*T1^3 + 9*T1^4 - 10*T1^5 + 9*T1^6 - 5*T1^7 + 
      T1^8 - 5*T2 + 20*T1*T2 - 20*T1^2*T2 + 5*T1^3*T2 + 5*T1^4*T2 + 
      5*T1^5*T2 + 5*T1^6*T2 - 20*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 9*T2^2 - 
      20*T1*T2^2 - 34*T1^2*T2^2 + 86*T1^3*T2^2 - 82*T1^4*T2^2 + 
      38*T1^5*T2^2 - 82*T1^6*T2^2 + 86*T1^7*T2^2 - 34*T1^8*T2^2 - 
      20*T1^9*T2^2 + 9*T1^10*T2^2 - 10*T2^3 + 5*T1*T2^3 + 86*T1^2*T2^3 - 
      82*T1^3*T2^3 + 3*T1^4*T2^3 + 54*T1^5*T2^3 + 54*T1^6*T2^3 + 
      3*T1^7*T2^3 - 82*T1^8*T2^3 + 86*T1^9*T2^3 + 5*T1^10*T2^3 - 
      10*T1^11*T2^3 + 9*T2^4 + 5*T1*T2^4 - 82*T1^2*T2^4 + 3*T1^3*T2^4 + 
      72*T1^4*T2^4 - 67*T1^5*T2^4 - 60*T1^6*T2^4 - 67*T1^7*T2^4 + 
      72*T1^8*T2^4 + 3*T1^9*T2^4 - 82*T1^10*T2^4 + 5*T1^11*T2^4 + 
      9*T1^12*T2^4 - 10*T2^5 + 5*T1*T2^5 + 38*T1^2*T2^5 + 54*T1^3*T2^5 - 
      67*T1^4*T2^5 + 10*T1^5*T2^5 + 63*T1^6*T2^5 + 63*T1^7*T2^5 + 
      10*T1^8*T2^5 - 67*T1^9*T2^5 + 54*T1^10*T2^5 + 38*T1^11*T2^5 + 
      5*T1^12*T2^5 - 10*T1^13*T2^5 + 9*T2^6 + 5*T1*T2^6 - 82*T1^2*T2^6 + 
      54*T1^3*T2^6 - 60*T1^4*T2^6 + 63*T1^5*T2^6 - 27*T1^6*T2^6 - 
      45*T1^7*T2^6 - 27*T1^8*T2^6 + 63*T1^9*T2^6 - 60*T1^10*T2^6 + 
      54*T1^11*T2^6 - 82*T1^12*T2^6 + 5*T1^13*T2^6 + 9*T1^14*T2^6 - 5*T2^7 - 
      20*T1*T2^7 + 86*T1^2*T2^7 + 3*T1^3*T2^7 - 67*T1^4*T2^7 + 63*T1^5*T2^7 - 
      45*T1^6*T2^7 + 8*T1^7*T2^7 + 8*T1^8*T2^7 - 45*T1^9*T2^7 + 
      63*T1^10*T2^7 - 67*T1^11*T2^7 + 3*T1^12*T2^7 + 86*T1^13*T2^7 - 
      20*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 - 34*T1^2*T2^8 - 
      82*T1^3*T2^8 + 72*T1^4*T2^8 + 10*T1^5*T2^8 - 27*T1^6*T2^8 + 
      8*T1^7*T2^8 + 48*T1^8*T2^8 + 8*T1^9*T2^8 - 27*T1^10*T2^8 + 
      10*T1^11*T2^8 + 72*T1^12*T2^8 - 82*T1^13*T2^8 - 34*T1^14*T2^8 + 
      20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 20*T1^2*T2^9 + 86*T1^3*T2^9 + 
      3*T1^4*T2^9 - 67*T1^5*T2^9 + 63*T1^6*T2^9 - 45*T1^7*T2^9 + 
      8*T1^8*T2^9 + 8*T1^9*T2^9 - 45*T1^10*T2^9 + 63*T1^11*T2^9 - 
      67*T1^12*T2^9 + 3*T1^13*T2^9 + 86*T1^14*T2^9 - 20*T1^15*T2^9 - 
      5*T1^16*T2^9 + 9*T1^2*T2^10 + 5*T1^3*T2^10 - 82*T1^4*T2^10 + 
      54*T1^5*T2^10 - 60*T1^6*T2^10 + 63*T1^7*T2^10 - 27*T1^8*T2^10 - 
      45*T1^9*T2^10 - 27*T1^10*T2^10 + 63*T1^11*T2^10 - 60*T1^12*T2^10 + 
      54*T1^13*T2^10 - 82*T1^14*T2^10 + 5*T1^15*T2^10 + 9*T1^16*T2^10 - 
      10*T1^3*T2^11 + 5*T1^4*T2^11 + 38*T1^5*T2^11 + 54*T1^6*T2^11 - 
      67*T1^7*T2^11 + 10*T1^8*T2^11 + 63*T1^9*T2^11 + 63*T1^10*T2^11 + 
      10*T1^11*T2^11 - 67*T1^12*T2^11 + 54*T1^13*T2^11 + 38*T1^14*T2^11 + 
      5*T1^15*T2^11 - 10*T1^16*T2^11 + 9*T1^4*T2^12 + 5*T1^5*T2^12 - 
      82*T1^6*T2^12 + 3*T1^7*T2^12 + 72*T1^8*T2^12 - 67*T1^9*T2^12 - 
      60*T1^10*T2^12 - 67*T1^11*T2^12 + 72*T1^12*T2^12 + 3*T1^13*T2^12 - 
      82*T1^14*T2^12 + 5*T1^15*T2^12 + 9*T1^16*T2^12 - 10*T1^5*T2^13 + 
      5*T1^6*T2^13 + 86*T1^7*T2^13 - 82*T1^8*T2^13 + 3*T1^9*T2^13 + 
      54*T1^10*T2^13 + 54*T1^11*T2^13 + 3*T1^12*T2^13 - 82*T1^13*T2^13 + 
      86*T1^14*T2^13 + 5*T1^15*T2^13 - 10*T1^16*T2^13 + 9*T1^6*T2^14 - 
      20*T1^7*T2^14 - 34*T1^8*T2^14 + 86*T1^9*T2^14 - 82*T1^10*T2^14 + 
      38*T1^11*T2^14 - 82*T1^12*T2^14 + 86*T1^13*T2^14 - 34*T1^14*T2^14 - 
      20*T1^15*T2^14 + 9*T1^16*T2^14 - 5*T1^7*T2^15 + 20*T1^8*T2^15 - 
      20*T1^9*T2^15 + 5*T1^10*T2^15 + 5*T1^11*T2^15 + 5*T1^12*T2^15 + 
      5*T1^13*T2^15 - 20*T1^14*T2^15 + 20*T1^15*T2^15 - 5*T1^16*T2^15 + 
      T1^8*T2^16 - 5*T1^9*T2^16 + 9*T1^10*T2^16 - 10*T1^11*T2^16 + 
      9*T1^12*T2^16 - 10*T1^13*T2^16 + 9*T1^14*T2^16 - 5*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, NonAlternating, 72] -> 
  {-((1 - 9*T + 23*T^2 - 31*T^3 + 23*T^4 - 9*T^5 + T^6)/T^3), 
   -((2 - 18*T1 + 46*T1^2 - 62*T1^3 + 46*T1^4 - 18*T1^5 + 2*T1^6 - 18*T2 + 
      150*T1*T2 - 261*T1^2*T2 + 150*T1^3*T2 + 150*T1^4*T2 - 261*T1^5*T2 + 
      150*T1^6*T2 - 18*T1^7*T2 + 46*T2^2 - 261*T1*T2^2 - 401*T1^2*T2^2 + 
      2013*T1^3*T2^2 - 3095*T1^4*T2^2 + 2013*T1^5*T2^2 - 401*T1^6*T2^2 - 
      261*T1^7*T2^2 + 46*T1^8*T2^2 - 62*T2^3 + 150*T1*T2^3 + 2013*T1^2*T2^3 - 
      4128*T1^3*T2^3 + 2579*T1^4*T2^3 + 2579*T1^5*T2^3 - 4128*T1^6*T2^3 + 
      2013*T1^7*T2^3 + 150*T1^8*T2^3 - 62*T1^9*T2^3 + 46*T2^4 + 150*T1*T2^4 - 
      3095*T1^2*T2^4 + 2579*T1^3*T2^4 + 3243*T1^4*T2^4 - 8397*T1^5*T2^4 + 
      3243*T1^6*T2^4 + 2579*T1^7*T2^4 - 3095*T1^8*T2^4 + 150*T1^9*T2^4 + 
      46*T1^10*T2^4 - 18*T2^5 - 261*T1*T2^5 + 2013*T1^2*T2^5 + 
      2579*T1^3*T2^5 - 8397*T1^4*T2^5 + 6130*T1^5*T2^5 + 6130*T1^6*T2^5 - 
      8397*T1^7*T2^5 + 2579*T1^8*T2^5 + 2013*T1^9*T2^5 - 261*T1^10*T2^5 - 
      18*T1^11*T2^5 + 2*T2^6 + 150*T1*T2^6 - 401*T1^2*T2^6 - 4128*T1^3*T2^6 + 
      3243*T1^4*T2^6 + 6130*T1^5*T2^6 - 14760*T1^6*T2^6 + 6130*T1^7*T2^6 + 
      3243*T1^8*T2^6 - 4128*T1^9*T2^6 - 401*T1^10*T2^6 + 150*T1^11*T2^6 + 
      2*T1^12*T2^6 - 18*T1*T2^7 - 261*T1^2*T2^7 + 2013*T1^3*T2^7 + 
      2579*T1^4*T2^7 - 8397*T1^5*T2^7 + 6130*T1^6*T2^7 + 6130*T1^7*T2^7 - 
      8397*T1^8*T2^7 + 2579*T1^9*T2^7 + 2013*T1^10*T2^7 - 261*T1^11*T2^7 - 
      18*T1^12*T2^7 + 46*T1^2*T2^8 + 150*T1^3*T2^8 - 3095*T1^4*T2^8 + 
      2579*T1^5*T2^8 + 3243*T1^6*T2^8 - 8397*T1^7*T2^8 + 3243*T1^8*T2^8 + 
      2579*T1^9*T2^8 - 3095*T1^10*T2^8 + 150*T1^11*T2^8 + 46*T1^12*T2^8 - 
      62*T1^3*T2^9 + 150*T1^4*T2^9 + 2013*T1^5*T2^9 - 4128*T1^6*T2^9 + 
      2579*T1^7*T2^9 + 2579*T1^8*T2^9 - 4128*T1^9*T2^9 + 2013*T1^10*T2^9 + 
      150*T1^11*T2^9 - 62*T1^12*T2^9 + 46*T1^4*T2^10 - 261*T1^5*T2^10 - 
      401*T1^6*T2^10 + 2013*T1^7*T2^10 - 3095*T1^8*T2^10 + 2013*T1^9*T2^10 - 
      401*T1^10*T2^10 - 261*T1^11*T2^10 + 46*T1^12*T2^10 - 18*T1^5*T2^11 + 
      150*T1^6*T2^11 - 261*T1^7*T2^11 + 150*T1^8*T2^11 + 150*T1^9*T2^11 - 
      261*T1^10*T2^11 + 150*T1^11*T2^11 - 18*T1^12*T2^11 + 2*T1^6*T2^12 - 
      18*T1^7*T2^12 + 46*T1^8*T2^12 - 62*T1^9*T2^12 + 46*T1^10*T2^12 - 
      18*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 73] -> 
  {(1 - 5*T + 13*T^2 - 17*T^3 + 13*T^4 - 5*T^5 + T^6)/T^3, 
   -((1 - 5*T1 + 13*T1^2 - 17*T1^3 + 13*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
      20*T1*T2 - 38*T1^2*T2 + 19*T1^3*T2 + 19*T1^4*T2 - 38*T1^5*T2 + 
      20*T1^6*T2 - 5*T1^7*T2 + 13*T2^2 - 38*T1*T2^2 + 30*T1^2*T2^2 + 
      82*T1^3*T2^2 - 144*T1^4*T2^2 + 82*T1^5*T2^2 + 30*T1^6*T2^2 - 
      38*T1^7*T2^2 + 13*T1^8*T2^2 - 17*T2^3 + 19*T1*T2^3 + 82*T1^2*T2^3 - 
      266*T1^3*T2^3 + 147*T1^4*T2^3 + 147*T1^5*T2^3 - 266*T1^6*T2^3 + 
      82*T1^7*T2^3 + 19*T1^8*T2^3 - 17*T1^9*T2^3 + 13*T2^4 + 19*T1*T2^4 - 
      144*T1^2*T2^4 + 147*T1^3*T2^4 + 335*T1^4*T2^4 - 625*T1^5*T2^4 + 
      335*T1^6*T2^4 + 147*T1^7*T2^4 - 144*T1^8*T2^4 + 19*T1^9*T2^4 + 
      13*T1^10*T2^4 - 5*T2^5 - 38*T1*T2^5 + 82*T1^2*T2^5 + 147*T1^3*T2^5 - 
      625*T1^4*T2^5 + 368*T1^5*T2^5 + 368*T1^6*T2^5 - 625*T1^7*T2^5 + 
      147*T1^8*T2^5 + 82*T1^9*T2^5 - 38*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
      20*T1*T2^6 + 30*T1^2*T2^6 - 266*T1^3*T2^6 + 335*T1^4*T2^6 + 
      368*T1^5*T2^6 - 828*T1^6*T2^6 + 368*T1^7*T2^6 + 335*T1^8*T2^6 - 
      266*T1^9*T2^6 + 30*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 
      5*T1*T2^7 - 38*T1^2*T2^7 + 82*T1^3*T2^7 + 147*T1^4*T2^7 - 
      625*T1^5*T2^7 + 368*T1^6*T2^7 + 368*T1^7*T2^7 - 625*T1^8*T2^7 + 
      147*T1^9*T2^7 + 82*T1^10*T2^7 - 38*T1^11*T2^7 - 5*T1^12*T2^7 + 
      13*T1^2*T2^8 + 19*T1^3*T2^8 - 144*T1^4*T2^8 + 147*T1^5*T2^8 + 
      335*T1^6*T2^8 - 625*T1^7*T2^8 + 335*T1^8*T2^8 + 147*T1^9*T2^8 - 
      144*T1^10*T2^8 + 19*T1^11*T2^8 + 13*T1^12*T2^8 - 17*T1^3*T2^9 + 
      19*T1^4*T2^9 + 82*T1^5*T2^9 - 266*T1^6*T2^9 + 147*T1^7*T2^9 + 
      147*T1^8*T2^9 - 266*T1^9*T2^9 + 82*T1^10*T2^9 + 19*T1^11*T2^9 - 
      17*T1^12*T2^9 + 13*T1^4*T2^10 - 38*T1^5*T2^10 + 30*T1^6*T2^10 + 
      82*T1^7*T2^10 - 144*T1^8*T2^10 + 82*T1^9*T2^10 + 30*T1^10*T2^10 - 
      38*T1^11*T2^10 + 13*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 
      38*T1^7*T2^11 + 19*T1^8*T2^11 + 19*T1^9*T2^11 - 38*T1^10*T2^11 + 
      20*T1^11*T2^11 - 5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 
      13*T1^8*T2^12 - 17*T1^9*T2^12 + 13*T1^10*T2^12 - 5*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 74] -> 
  {((2 - 3*T + 2*T^2)*(1 - T + T^2 - T^3 + T^4 - T^5 + T^6))/T^4, 
   (33 - 81*T1 + 111*T1^2 - 108*T1^3 + 107*T1^4 - 108*T1^5 + 111*T1^6 - 
     81*T1^7 + 33*T1^8 - 81*T2 + 120*T1*T2 - 78*T1^2*T2 - 3*T1^3*T2 + 
     T1^4*T2 + T1^5*T2 - 3*T1^6*T2 - 78*T1^7*T2 + 120*T1^8*T2 - 81*T1^9*T2 + 
     111*T2^2 - 78*T1*T2^2 - 8*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 - 
     78*T1^9*T2^2 + 111*T1^10*T2^2 - 108*T2^3 - 3*T1*T2^3 + 52*T1^2*T2^3 - 
     30*T1^3*T2^3 - 90*T1^4*T2^3 - T1^5*T2^3 - T1^6*T2^3 - 90*T1^7*T2^3 - 
     30*T1^8*T2^3 + 52*T1^9*T2^3 - 3*T1^10*T2^3 - 108*T1^11*T2^3 + 107*T2^4 + 
     T1*T2^4 + 52*T1^2*T2^4 - 90*T1^3*T2^4 + 166*T1^4*T2^4 - 42*T1^5*T2^4 + 
     118*T1^6*T2^4 - 42*T1^7*T2^4 + 166*T1^8*T2^4 - 90*T1^9*T2^4 + 
     52*T1^10*T2^4 + T1^11*T2^4 + 107*T1^12*T2^4 - 108*T2^5 + T1*T2^5 - 
     52*T1^2*T2^5 - T1^3*T2^5 - 42*T1^4*T2^5 - 50*T1^5*T2^5 - 62*T1^6*T2^5 - 
     62*T1^7*T2^5 - 50*T1^8*T2^5 - 42*T1^9*T2^5 - T1^10*T2^5 - 
     52*T1^11*T2^5 + T1^12*T2^5 - 108*T1^13*T2^5 + 111*T2^6 - 3*T1*T2^6 + 
     52*T1^2*T2^6 - T1^3*T2^6 + 118*T1^4*T2^6 - 62*T1^5*T2^6 + 
     137*T1^6*T2^6 + 21*T1^7*T2^6 + 137*T1^8*T2^6 - 62*T1^9*T2^6 + 
     118*T1^10*T2^6 - T1^11*T2^6 + 52*T1^12*T2^6 - 3*T1^13*T2^6 + 
     111*T1^14*T2^6 - 81*T2^7 - 78*T1*T2^7 + 52*T1^2*T2^7 - 90*T1^3*T2^7 - 
     42*T1^4*T2^7 - 62*T1^5*T2^7 + 21*T1^6*T2^7 - 116*T1^7*T2^7 - 
     116*T1^8*T2^7 + 21*T1^9*T2^7 - 62*T1^10*T2^7 - 42*T1^11*T2^7 - 
     90*T1^12*T2^7 + 52*T1^13*T2^7 - 78*T1^14*T2^7 - 81*T1^15*T2^7 + 
     33*T2^8 + 120*T1*T2^8 - 8*T1^2*T2^8 - 30*T1^3*T2^8 + 166*T1^4*T2^8 - 
     50*T1^5*T2^8 + 137*T1^6*T2^8 - 116*T1^7*T2^8 + 312*T1^8*T2^8 - 
     116*T1^9*T2^8 + 137*T1^10*T2^8 - 50*T1^11*T2^8 + 166*T1^12*T2^8 - 
     30*T1^13*T2^8 - 8*T1^14*T2^8 + 120*T1^15*T2^8 + 33*T1^16*T2^8 - 
     81*T1*T2^9 - 78*T1^2*T2^9 + 52*T1^3*T2^9 - 90*T1^4*T2^9 - 42*T1^5*T2^9 - 
     62*T1^6*T2^9 + 21*T1^7*T2^9 - 116*T1^8*T2^9 - 116*T1^9*T2^9 + 
     21*T1^10*T2^9 - 62*T1^11*T2^9 - 42*T1^12*T2^9 - 90*T1^13*T2^9 + 
     52*T1^14*T2^9 - 78*T1^15*T2^9 - 81*T1^16*T2^9 + 111*T1^2*T2^10 - 
     3*T1^3*T2^10 + 52*T1^4*T2^10 - T1^5*T2^10 + 118*T1^6*T2^10 - 
     62*T1^7*T2^10 + 137*T1^8*T2^10 + 21*T1^9*T2^10 + 137*T1^10*T2^10 - 
     62*T1^11*T2^10 + 118*T1^12*T2^10 - T1^13*T2^10 + 52*T1^14*T2^10 - 
     3*T1^15*T2^10 + 111*T1^16*T2^10 - 108*T1^3*T2^11 + T1^4*T2^11 - 
     52*T1^5*T2^11 - T1^6*T2^11 - 42*T1^7*T2^11 - 50*T1^8*T2^11 - 
     62*T1^9*T2^11 - 62*T1^10*T2^11 - 50*T1^11*T2^11 - 42*T1^12*T2^11 - 
     T1^13*T2^11 - 52*T1^14*T2^11 + T1^15*T2^11 - 108*T1^16*T2^11 + 
     107*T1^4*T2^12 + T1^5*T2^12 + 52*T1^6*T2^12 - 90*T1^7*T2^12 + 
     166*T1^8*T2^12 - 42*T1^9*T2^12 + 118*T1^10*T2^12 - 42*T1^11*T2^12 + 
     166*T1^12*T2^12 - 90*T1^13*T2^12 + 52*T1^14*T2^12 + T1^15*T2^12 + 
     107*T1^16*T2^12 - 108*T1^5*T2^13 - 3*T1^6*T2^13 + 52*T1^7*T2^13 - 
     30*T1^8*T2^13 - 90*T1^9*T2^13 - T1^10*T2^13 - T1^11*T2^13 - 
     90*T1^12*T2^13 - 30*T1^13*T2^13 + 52*T1^14*T2^13 - 3*T1^15*T2^13 - 
     108*T1^16*T2^13 + 111*T1^6*T2^14 - 78*T1^7*T2^14 - 8*T1^8*T2^14 + 
     52*T1^9*T2^14 + 52*T1^10*T2^14 - 52*T1^11*T2^14 + 52*T1^12*T2^14 + 
     52*T1^13*T2^14 - 8*T1^14*T2^14 - 78*T1^15*T2^14 + 111*T1^16*T2^14 - 
     81*T1^7*T2^15 + 120*T1^8*T2^15 - 78*T1^9*T2^15 - 3*T1^10*T2^15 + 
     T1^11*T2^15 + T1^12*T2^15 - 3*T1^13*T2^15 - 78*T1^14*T2^15 + 
     120*T1^15*T2^15 - 81*T1^16*T2^15 + 33*T1^8*T2^16 - 81*T1^9*T2^16 + 
     111*T1^10*T2^16 - 108*T1^11*T2^16 + 107*T1^12*T2^16 - 108*T1^13*T2^16 + 
     111*T1^14*T2^16 - 81*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 75] -> 
  {(3 - 10*T + 18*T^2 - 21*T^3 + 18*T^4 - 10*T^5 + 3*T^6)/T^3, 
   -((24 - 78*T1 + 136*T1^2 - 156*T1^3 + 136*T1^4 - 78*T1^5 + 24*T1^6 - 
      78*T2 + 180*T1*T2 - 198*T1^2*T2 + 71*T1^3*T2 + 71*T1^4*T2 - 
      198*T1^5*T2 + 180*T1^6*T2 - 78*T1^7*T2 + 136*T2^2 - 198*T1*T2^2 + 
      51*T1^2*T2^2 + 244*T1^3*T2^2 - 313*T1^4*T2^2 + 244*T1^5*T2^2 + 
      51*T1^6*T2^2 - 198*T1^7*T2^2 + 136*T1^8*T2^2 - 156*T2^3 + 71*T1*T2^3 + 
      244*T1^2*T2^3 - 480*T1^3*T2^3 + 172*T1^4*T2^3 + 172*T1^5*T2^3 - 
      480*T1^6*T2^3 + 244*T1^7*T2^3 + 71*T1^8*T2^3 - 156*T1^9*T2^3 + 
      136*T2^4 + 71*T1*T2^4 - 313*T1^2*T2^4 + 172*T1^3*T2^4 + 473*T1^4*T2^4 - 
      657*T1^5*T2^4 + 473*T1^6*T2^4 + 172*T1^7*T2^4 - 313*T1^8*T2^4 + 
      71*T1^9*T2^4 + 136*T1^10*T2^4 - 78*T2^5 - 198*T1*T2^5 + 244*T1^2*T2^5 + 
      172*T1^3*T2^5 - 657*T1^4*T2^5 + 276*T1^5*T2^5 + 276*T1^6*T2^5 - 
      657*T1^7*T2^5 + 172*T1^8*T2^5 + 244*T1^9*T2^5 - 198*T1^10*T2^5 - 
      78*T1^11*T2^5 + 24*T2^6 + 180*T1*T2^6 + 51*T1^2*T2^6 - 480*T1^3*T2^6 + 
      473*T1^4*T2^6 + 276*T1^5*T2^6 - 552*T1^6*T2^6 + 276*T1^7*T2^6 + 
      473*T1^8*T2^6 - 480*T1^9*T2^6 + 51*T1^10*T2^6 + 180*T1^11*T2^6 + 
      24*T1^12*T2^6 - 78*T1*T2^7 - 198*T1^2*T2^7 + 244*T1^3*T2^7 + 
      172*T1^4*T2^7 - 657*T1^5*T2^7 + 276*T1^6*T2^7 + 276*T1^7*T2^7 - 
      657*T1^8*T2^7 + 172*T1^9*T2^7 + 244*T1^10*T2^7 - 198*T1^11*T2^7 - 
      78*T1^12*T2^7 + 136*T1^2*T2^8 + 71*T1^3*T2^8 - 313*T1^4*T2^8 + 
      172*T1^5*T2^8 + 473*T1^6*T2^8 - 657*T1^7*T2^8 + 473*T1^8*T2^8 + 
      172*T1^9*T2^8 - 313*T1^10*T2^8 + 71*T1^11*T2^8 + 136*T1^12*T2^8 - 
      156*T1^3*T2^9 + 71*T1^4*T2^9 + 244*T1^5*T2^9 - 480*T1^6*T2^9 + 
      172*T1^7*T2^9 + 172*T1^8*T2^9 - 480*T1^9*T2^9 + 244*T1^10*T2^9 + 
      71*T1^11*T2^9 - 156*T1^12*T2^9 + 136*T1^4*T2^10 - 198*T1^5*T2^10 + 
      51*T1^6*T2^10 + 244*T1^7*T2^10 - 313*T1^8*T2^10 + 244*T1^9*T2^10 + 
      51*T1^10*T2^10 - 198*T1^11*T2^10 + 136*T1^12*T2^10 - 78*T1^5*T2^11 + 
      180*T1^6*T2^11 - 198*T1^7*T2^11 + 71*T1^8*T2^11 + 71*T1^9*T2^11 - 
      198*T1^10*T2^11 + 180*T1^11*T2^11 - 78*T1^12*T2^11 + 24*T1^6*T2^12 - 
      78*T1^7*T2^12 + 136*T1^8*T2^12 - 156*T1^9*T2^12 + 136*T1^10*T2^12 - 
      78*T1^11*T2^12 + 24*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 76] -> 
  {-((1 - 6*T + 12*T^2 - 15*T^3 + 12*T^4 - 6*T^5 + T^6)/T^3), 
   -((2 - 12*T1 + 24*T1^2 - 30*T1^3 + 24*T1^4 - 12*T1^5 + 2*T1^6 - 12*T2 + 
      62*T1*T2 - 70*T1^2*T2 + 35*T1^3*T2 + 35*T1^4*T2 - 70*T1^5*T2 + 
      62*T1^6*T2 - 12*T1^7*T2 + 24*T2^2 - 70*T1*T2^2 - 163*T1^2*T2^2 + 
      421*T1^3*T2^2 - 577*T1^4*T2^2 + 421*T1^5*T2^2 - 163*T1^6*T2^2 - 
      70*T1^7*T2^2 + 24*T1^8*T2^2 - 30*T2^3 + 35*T1*T2^3 + 421*T1^2*T2^3 - 
      486*T1^3*T2^3 + 278*T1^4*T2^3 + 278*T1^5*T2^3 - 486*T1^6*T2^3 + 
      421*T1^7*T2^3 + 35*T1^8*T2^3 - 30*T1^9*T2^3 + 24*T2^4 + 35*T1*T2^4 - 
      577*T1^2*T2^4 + 278*T1^3*T2^4 - 22*T1^4*T2^4 - 324*T1^5*T2^4 - 
      22*T1^6*T2^4 + 278*T1^7*T2^4 - 577*T1^8*T2^4 + 35*T1^9*T2^4 + 
      24*T1^10*T2^4 - 12*T2^5 - 70*T1*T2^5 + 421*T1^2*T2^5 + 278*T1^3*T2^5 - 
      324*T1^4*T2^5 + 322*T1^5*T2^5 + 322*T1^6*T2^5 - 324*T1^7*T2^5 + 
      278*T1^8*T2^5 + 421*T1^9*T2^5 - 70*T1^10*T2^5 - 12*T1^11*T2^5 + 
      2*T2^6 + 62*T1*T2^6 - 163*T1^2*T2^6 - 486*T1^3*T2^6 - 22*T1^4*T2^6 + 
      322*T1^5*T2^6 - 816*T1^6*T2^6 + 322*T1^7*T2^6 - 22*T1^8*T2^6 - 
      486*T1^9*T2^6 - 163*T1^10*T2^6 + 62*T1^11*T2^6 + 2*T1^12*T2^6 - 
      12*T1*T2^7 - 70*T1^2*T2^7 + 421*T1^3*T2^7 + 278*T1^4*T2^7 - 
      324*T1^5*T2^7 + 322*T1^6*T2^7 + 322*T1^7*T2^7 - 324*T1^8*T2^7 + 
      278*T1^9*T2^7 + 421*T1^10*T2^7 - 70*T1^11*T2^7 - 12*T1^12*T2^7 + 
      24*T1^2*T2^8 + 35*T1^3*T2^8 - 577*T1^4*T2^8 + 278*T1^5*T2^8 - 
      22*T1^6*T2^8 - 324*T1^7*T2^8 - 22*T1^8*T2^8 + 278*T1^9*T2^8 - 
      577*T1^10*T2^8 + 35*T1^11*T2^8 + 24*T1^12*T2^8 - 30*T1^3*T2^9 + 
      35*T1^4*T2^9 + 421*T1^5*T2^9 - 486*T1^6*T2^9 + 278*T1^7*T2^9 + 
      278*T1^8*T2^9 - 486*T1^9*T2^9 + 421*T1^10*T2^9 + 35*T1^11*T2^9 - 
      30*T1^12*T2^9 + 24*T1^4*T2^10 - 70*T1^5*T2^10 - 163*T1^6*T2^10 + 
      421*T1^7*T2^10 - 577*T1^8*T2^10 + 421*T1^9*T2^10 - 163*T1^10*T2^10 - 
      70*T1^11*T2^10 + 24*T1^12*T2^10 - 12*T1^5*T2^11 + 62*T1^6*T2^11 - 
      70*T1^7*T2^11 + 35*T1^8*T2^11 + 35*T1^9*T2^11 - 70*T1^10*T2^11 + 
      62*T1^11*T2^11 - 12*T1^12*T2^11 + 2*T1^6*T2^12 - 12*T1^7*T2^12 + 
      24*T1^8*T2^12 - 30*T1^9*T2^12 + 24*T1^10*T2^12 - 12*T1^11*T2^12 + 
      2*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 77] -> 
  {(3 - 7*T + 8*T^2 - 7*T^3 + 8*T^4 - 7*T^5 + 3*T^6)/T^3, 
   (90 - 206*T1 + 232*T1^2 - 200*T1^3 + 232*T1^4 - 206*T1^5 + 90*T1^6 - 
     206*T2 + 268*T1*T2 - 62*T1^2*T2 - 72*T1^3*T2 - 72*T1^4*T2 - 62*T1^5*T2 + 
     268*T1^6*T2 - 206*T1^7*T2 + 232*T2^2 - 62*T1*T2^2 - 274*T1^2*T2^2 + 
     223*T1^3*T2^2 + 78*T1^4*T2^2 + 223*T1^5*T2^2 - 274*T1^6*T2^2 - 
     62*T1^7*T2^2 + 232*T1^8*T2^2 - 200*T2^3 - 72*T1*T2^3 + 223*T1^2*T2^3 + 
     26*T1^3*T2^3 - 212*T1^4*T2^3 - 212*T1^5*T2^3 + 26*T1^6*T2^3 + 
     223*T1^7*T2^3 - 72*T1^8*T2^3 - 200*T1^9*T2^3 + 232*T2^4 - 72*T1*T2^4 + 
     78*T1^2*T2^4 - 212*T1^3*T2^4 + 257*T1^4*T2^4 + 17*T1^5*T2^4 + 
     257*T1^6*T2^4 - 212*T1^7*T2^4 + 78*T1^8*T2^4 - 72*T1^9*T2^4 + 
     232*T1^10*T2^4 - 206*T2^5 - 62*T1*T2^5 + 223*T1^2*T2^5 - 212*T1^3*T2^5 + 
     17*T1^4*T2^5 - 98*T1^5*T2^5 - 98*T1^6*T2^5 + 17*T1^7*T2^5 - 
     212*T1^8*T2^5 + 223*T1^9*T2^5 - 62*T1^10*T2^5 - 206*T1^11*T2^5 + 
     90*T2^6 + 268*T1*T2^6 - 274*T1^2*T2^6 + 26*T1^3*T2^6 + 257*T1^4*T2^6 - 
     98*T1^5*T2^6 + 180*T1^6*T2^6 - 98*T1^7*T2^6 + 257*T1^8*T2^6 + 
     26*T1^9*T2^6 - 274*T1^10*T2^6 + 268*T1^11*T2^6 + 90*T1^12*T2^6 - 
     206*T1*T2^7 - 62*T1^2*T2^7 + 223*T1^3*T2^7 - 212*T1^4*T2^7 + 
     17*T1^5*T2^7 - 98*T1^6*T2^7 - 98*T1^7*T2^7 + 17*T1^8*T2^7 - 
     212*T1^9*T2^7 + 223*T1^10*T2^7 - 62*T1^11*T2^7 - 206*T1^12*T2^7 + 
     232*T1^2*T2^8 - 72*T1^3*T2^8 + 78*T1^4*T2^8 - 212*T1^5*T2^8 + 
     257*T1^6*T2^8 + 17*T1^7*T2^8 + 257*T1^8*T2^8 - 212*T1^9*T2^8 + 
     78*T1^10*T2^8 - 72*T1^11*T2^8 + 232*T1^12*T2^8 - 200*T1^3*T2^9 - 
     72*T1^4*T2^9 + 223*T1^5*T2^9 + 26*T1^6*T2^9 - 212*T1^7*T2^9 - 
     212*T1^8*T2^9 + 26*T1^9*T2^9 + 223*T1^10*T2^9 - 72*T1^11*T2^9 - 
     200*T1^12*T2^9 + 232*T1^4*T2^10 - 62*T1^5*T2^10 - 274*T1^6*T2^10 + 
     223*T1^7*T2^10 + 78*T1^8*T2^10 + 223*T1^9*T2^10 - 274*T1^10*T2^10 - 
     62*T1^11*T2^10 + 232*T1^12*T2^10 - 206*T1^5*T2^11 + 268*T1^6*T2^11 - 
     62*T1^7*T2^11 - 72*T1^8*T2^11 - 72*T1^9*T2^11 - 62*T1^10*T2^11 + 
     268*T1^11*T2^11 - 206*T1^12*T2^11 + 90*T1^6*T2^12 - 206*T1^7*T2^12 + 
     232*T1^8*T2^12 - 200*T1^9*T2^12 + 232*T1^10*T2^12 - 206*T1^11*T2^12 + 
     90*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 78] -> 
  {(5 - 16*T + 23*T^2 - 16*T^3 + 5*T^4)/T^2, 
   -((10 - 32*T1 + 48*T1^2 - 32*T1^3 + 10*T1^4 - 32*T2 + 74*T1*T2 - 
      53*T1^2*T2 - 53*T1^3*T2 + 74*T1^4*T2 - 32*T1^5*T2 + 48*T2^2 - 
      53*T1*T2^2 - 75*T1^2*T2^2 + 221*T1^3*T2^2 - 75*T1^4*T2^2 - 
      53*T1^5*T2^2 + 48*T1^6*T2^2 - 32*T2^3 - 53*T1*T2^3 + 221*T1^2*T2^3 - 
      190*T1^3*T2^3 - 190*T1^4*T2^3 + 221*T1^5*T2^3 - 53*T1^6*T2^3 - 
      32*T1^7*T2^3 + 10*T2^4 + 74*T1*T2^4 - 75*T1^2*T2^4 - 190*T1^3*T2^4 + 
      492*T1^4*T2^4 - 190*T1^5*T2^4 - 75*T1^6*T2^4 + 74*T1^7*T2^4 + 
      10*T1^8*T2^4 - 32*T1*T2^5 - 53*T1^2*T2^5 + 221*T1^3*T2^5 - 
      190*T1^4*T2^5 - 190*T1^5*T2^5 + 221*T1^6*T2^5 - 53*T1^7*T2^5 - 
      32*T1^8*T2^5 + 48*T1^2*T2^6 - 53*T1^3*T2^6 - 75*T1^4*T2^6 + 
      221*T1^5*T2^6 - 75*T1^6*T2^6 - 53*T1^7*T2^6 + 48*T1^8*T2^6 - 
      32*T1^3*T2^7 + 74*T1^4*T2^7 - 53*T1^5*T2^7 - 53*T1^6*T2^7 + 
      74*T1^7*T2^7 - 32*T1^8*T2^7 + 10*T1^4*T2^8 - 32*T1^5*T2^8 + 
      48*T1^6*T2^8 - 32*T1^7*T2^8 + 10*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, NonAlternating, 79] -> {-((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 + 38*T1*T2 - 20*T1^2*T2 - 
      20*T1^3*T2 + 38*T1^4*T2 - 6*T1^5*T2 + 9*T2^2 - 20*T1*T2^2 - 
      202*T1^2*T2^2 + 312*T1^3*T2^2 - 202*T1^4*T2^2 - 20*T1^5*T2^2 + 
      9*T1^6*T2^2 - 6*T2^3 - 20*T1*T2^3 + 312*T1^2*T2^3 - 160*T1^3*T2^3 - 
      160*T1^4*T2^3 + 312*T1^5*T2^3 - 20*T1^6*T2^3 - 6*T1^7*T2^3 + T2^4 + 
      38*T1*T2^4 - 202*T1^2*T2^4 - 160*T1^3*T2^4 + 324*T1^4*T2^4 - 
      160*T1^5*T2^4 - 202*T1^6*T2^4 + 38*T1^7*T2^4 + T1^8*T2^4 - 6*T1*T2^5 - 
      20*T1^2*T2^5 + 312*T1^3*T2^5 - 160*T1^4*T2^5 - 160*T1^5*T2^5 + 
      312*T1^6*T2^5 - 20*T1^7*T2^5 - 6*T1^8*T2^5 + 9*T1^2*T2^6 - 
      20*T1^3*T2^6 - 202*T1^4*T2^6 + 312*T1^5*T2^6 - 202*T1^6*T2^6 - 
      20*T1^7*T2^6 + 9*T1^8*T2^6 - 6*T1^3*T2^7 + 38*T1^4*T2^7 - 
      20*T1^5*T2^7 - 20*T1^6*T2^7 + 38*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)/(T1^4*T2^4))}, 
 Knot[12, NonAlternating, 80] -> 
  {(2 - 7*T + 15*T^2 - 19*T^3 + 15*T^4 - 7*T^5 + 2*T^6)/T^3, 
   -((9 - 31*T1 + 67*T1^2 - 85*T1^3 + 67*T1^4 - 31*T1^5 + 9*T1^6 - 31*T2 + 
      76*T1*T2 - 124*T1^2*T2 + 62*T1^3*T2 + 62*T1^4*T2 - 124*T1^5*T2 + 
      76*T1^6*T2 - 31*T1^7*T2 + 67*T2^2 - 124*T1*T2^2 + 254*T1^2*T2^2 - 
      217*T1^3*T2^2 + 188*T1^4*T2^2 - 217*T1^5*T2^2 + 254*T1^6*T2^2 - 
      124*T1^7*T2^2 + 67*T1^8*T2^2 - 85*T2^3 + 62*T1*T2^3 - 217*T1^2*T2^3 + 
      32*T1^3*T2^3 - 10*T1^4*T2^3 - 10*T1^5*T2^3 + 32*T1^6*T2^3 - 
      217*T1^7*T2^3 + 62*T1^8*T2^3 - 85*T1^9*T2^3 + 67*T2^4 + 62*T1*T2^4 + 
      188*T1^2*T2^4 - 10*T1^3*T2^4 + 405*T1^4*T2^4 - 511*T1^5*T2^4 + 
      405*T1^6*T2^4 - 10*T1^7*T2^4 + 188*T1^8*T2^4 + 62*T1^9*T2^4 + 
      67*T1^10*T2^4 - 31*T2^5 - 124*T1*T2^5 - 217*T1^2*T2^5 - 10*T1^3*T2^5 - 
      511*T1^4*T2^5 + 190*T1^5*T2^5 + 190*T1^6*T2^5 - 511*T1^7*T2^5 - 
      10*T1^8*T2^5 - 217*T1^9*T2^5 - 124*T1^10*T2^5 - 31*T1^11*T2^5 + 
      9*T2^6 + 76*T1*T2^6 + 254*T1^2*T2^6 + 32*T1^3*T2^6 + 405*T1^4*T2^6 + 
      190*T1^5*T2^6 - 312*T1^6*T2^6 + 190*T1^7*T2^6 + 405*T1^8*T2^6 + 
      32*T1^9*T2^6 + 254*T1^10*T2^6 + 76*T1^11*T2^6 + 9*T1^12*T2^6 - 
      31*T1*T2^7 - 124*T1^2*T2^7 - 217*T1^3*T2^7 - 10*T1^4*T2^7 - 
      511*T1^5*T2^7 + 190*T1^6*T2^7 + 190*T1^7*T2^7 - 511*T1^8*T2^7 - 
      10*T1^9*T2^7 - 217*T1^10*T2^7 - 124*T1^11*T2^7 - 31*T1^12*T2^7 + 
      67*T1^2*T2^8 + 62*T1^3*T2^8 + 188*T1^4*T2^8 - 10*T1^5*T2^8 + 
      405*T1^6*T2^8 - 511*T1^7*T2^8 + 405*T1^8*T2^8 - 10*T1^9*T2^8 + 
      188*T1^10*T2^8 + 62*T1^11*T2^8 + 67*T1^12*T2^8 - 85*T1^3*T2^9 + 
      62*T1^4*T2^9 - 217*T1^5*T2^9 + 32*T1^6*T2^9 - 10*T1^7*T2^9 - 
      10*T1^8*T2^9 + 32*T1^9*T2^9 - 217*T1^10*T2^9 + 62*T1^11*T2^9 - 
      85*T1^12*T2^9 + 67*T1^4*T2^10 - 124*T1^5*T2^10 + 254*T1^6*T2^10 - 
      217*T1^7*T2^10 + 188*T1^8*T2^10 - 217*T1^9*T2^10 + 254*T1^10*T2^10 - 
      124*T1^11*T2^10 + 67*T1^12*T2^10 - 31*T1^5*T2^11 + 76*T1^6*T2^11 - 
      124*T1^7*T2^11 + 62*T1^8*T2^11 + 62*T1^9*T2^11 - 124*T1^10*T2^11 + 
      76*T1^11*T2^11 - 31*T1^12*T2^11 + 9*T1^6*T2^12 - 31*T1^7*T2^12 + 
      67*T1^8*T2^12 - 85*T1^9*T2^12 + 67*T1^10*T2^12 - 31*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 81] -> 
  {-((2 - 11*T + 23*T^2 - 29*T^3 + 23*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((17 - 93*T1 + 193*T1^2 - 243*T1^3 + 193*T1^4 - 93*T1^5 + 17*T1^6 - 
      93*T2 + 416*T1*T2 - 536*T1^2*T2 + 266*T1^3*T2 + 266*T1^4*T2 - 
      536*T1^5*T2 + 416*T1^6*T2 - 93*T1^7*T2 + 193*T2^2 - 536*T1*T2^2 - 
      483*T1^2*T2^2 + 2062*T1^3*T2^2 - 2985*T1^4*T2^2 + 2062*T1^5*T2^2 - 
      483*T1^6*T2^2 - 536*T1^7*T2^2 + 193*T1^8*T2^2 - 243*T2^3 + 
      266*T1*T2^3 + 2062*T1^2*T2^3 - 3036*T1^3*T2^3 + 1686*T1^4*T2^3 + 
      1686*T1^5*T2^3 - 3036*T1^6*T2^3 + 2062*T1^7*T2^3 + 266*T1^8*T2^3 - 
      243*T1^9*T2^3 + 193*T2^4 + 266*T1*T2^4 - 2985*T1^2*T2^4 + 
      1686*T1^3*T2^4 + 1056*T1^4*T2^4 - 3342*T1^5*T2^4 + 1056*T1^6*T2^4 + 
      1686*T1^7*T2^4 - 2985*T1^8*T2^4 + 266*T1^9*T2^4 + 193*T1^10*T2^4 - 
      93*T2^5 - 536*T1*T2^5 + 2062*T1^2*T2^5 + 1686*T1^3*T2^5 - 
      3342*T1^4*T2^5 + 2364*T1^5*T2^5 + 2364*T1^6*T2^5 - 3342*T1^7*T2^5 + 
      1686*T1^8*T2^5 + 2062*T1^9*T2^5 - 536*T1^10*T2^5 - 93*T1^11*T2^5 + 
      17*T2^6 + 416*T1*T2^6 - 483*T1^2*T2^6 - 3036*T1^3*T2^6 + 
      1056*T1^4*T2^6 + 2364*T1^5*T2^6 - 5520*T1^6*T2^6 + 2364*T1^7*T2^6 + 
      1056*T1^8*T2^6 - 3036*T1^9*T2^6 - 483*T1^10*T2^6 + 416*T1^11*T2^6 + 
      17*T1^12*T2^6 - 93*T1*T2^7 - 536*T1^2*T2^7 + 2062*T1^3*T2^7 + 
      1686*T1^4*T2^7 - 3342*T1^5*T2^7 + 2364*T1^6*T2^7 + 2364*T1^7*T2^7 - 
      3342*T1^8*T2^7 + 1686*T1^9*T2^7 + 2062*T1^10*T2^7 - 536*T1^11*T2^7 - 
      93*T1^12*T2^7 + 193*T1^2*T2^8 + 266*T1^3*T2^8 - 2985*T1^4*T2^8 + 
      1686*T1^5*T2^8 + 1056*T1^6*T2^8 - 3342*T1^7*T2^8 + 1056*T1^8*T2^8 + 
      1686*T1^9*T2^8 - 2985*T1^10*T2^8 + 266*T1^11*T2^8 + 193*T1^12*T2^8 - 
      243*T1^3*T2^9 + 266*T1^4*T2^9 + 2062*T1^5*T2^9 - 3036*T1^6*T2^9 + 
      1686*T1^7*T2^9 + 1686*T1^8*T2^9 - 3036*T1^9*T2^9 + 2062*T1^10*T2^9 + 
      266*T1^11*T2^9 - 243*T1^12*T2^9 + 193*T1^4*T2^10 - 536*T1^5*T2^10 - 
      483*T1^6*T2^10 + 2062*T1^7*T2^10 - 2985*T1^8*T2^10 + 2062*T1^9*T2^10 - 
      483*T1^10*T2^10 - 536*T1^11*T2^10 + 193*T1^12*T2^10 - 93*T1^5*T2^11 + 
      416*T1^6*T2^11 - 536*T1^7*T2^11 + 266*T1^8*T2^11 + 266*T1^9*T2^11 - 
      536*T1^10*T2^11 + 416*T1^11*T2^11 - 93*T1^12*T2^11 + 17*T1^6*T2^12 - 
      93*T1^7*T2^12 + 193*T1^8*T2^12 - 243*T1^9*T2^12 + 193*T1^10*T2^12 - 
      93*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 82] -> 
  {((2 - 3*T + 2*T^2)*(1 - T + T^2 - T^3 + T^4))/T^3, 
   -((9 - 21*T1 + 27*T1^2 - 25*T1^3 + 27*T1^4 - 21*T1^5 + 9*T1^6 - 21*T2 + 
      24*T1*T2 - 8*T1^2*T2 - 8*T1^3*T2 - 8*T1^4*T2 - 8*T1^5*T2 + 24*T1^6*T2 - 
      21*T1^7*T2 + 27*T2^2 - 8*T1*T2^2 - 29*T1^2*T2^2 + 64*T1^3*T2^2 - 
      49*T1^4*T2^2 + 64*T1^5*T2^2 - 29*T1^6*T2^2 - 8*T1^7*T2^2 + 
      27*T1^8*T2^2 - 25*T2^3 - 8*T1*T2^3 + 64*T1^2*T2^3 - 90*T1^3*T2^3 + 
      28*T1^4*T2^3 + 28*T1^5*T2^3 - 90*T1^6*T2^3 + 64*T1^7*T2^3 - 
      8*T1^8*T2^3 - 25*T1^9*T2^3 + 27*T2^4 - 8*T1*T2^4 - 49*T1^2*T2^4 + 
      28*T1^3*T2^4 + 43*T1^4*T2^4 - 81*T1^5*T2^4 + 43*T1^6*T2^4 + 
      28*T1^7*T2^4 - 49*T1^8*T2^4 - 8*T1^9*T2^4 + 27*T1^10*T2^4 - 21*T2^5 - 
      8*T1*T2^5 + 64*T1^2*T2^5 + 28*T1^3*T2^5 - 81*T1^4*T2^5 + 62*T1^5*T2^5 + 
      62*T1^6*T2^5 - 81*T1^7*T2^5 + 28*T1^8*T2^5 + 64*T1^9*T2^5 - 
      8*T1^10*T2^5 - 21*T1^11*T2^5 + 9*T2^6 + 24*T1*T2^6 - 29*T1^2*T2^6 - 
      90*T1^3*T2^6 + 43*T1^4*T2^6 + 62*T1^5*T2^6 - 168*T1^6*T2^6 + 
      62*T1^7*T2^6 + 43*T1^8*T2^6 - 90*T1^9*T2^6 - 29*T1^10*T2^6 + 
      24*T1^11*T2^6 + 9*T1^12*T2^6 - 21*T1*T2^7 - 8*T1^2*T2^7 + 
      64*T1^3*T2^7 + 28*T1^4*T2^7 - 81*T1^5*T2^7 + 62*T1^6*T2^7 + 
      62*T1^7*T2^7 - 81*T1^8*T2^7 + 28*T1^9*T2^7 + 64*T1^10*T2^7 - 
      8*T1^11*T2^7 - 21*T1^12*T2^7 + 27*T1^2*T2^8 - 8*T1^3*T2^8 - 
      49*T1^4*T2^8 + 28*T1^5*T2^8 + 43*T1^6*T2^8 - 81*T1^7*T2^8 + 
      43*T1^8*T2^8 + 28*T1^9*T2^8 - 49*T1^10*T2^8 - 8*T1^11*T2^8 + 
      27*T1^12*T2^8 - 25*T1^3*T2^9 - 8*T1^4*T2^9 + 64*T1^5*T2^9 - 
      90*T1^6*T2^9 + 28*T1^7*T2^9 + 28*T1^8*T2^9 - 90*T1^9*T2^9 + 
      64*T1^10*T2^9 - 8*T1^11*T2^9 - 25*T1^12*T2^9 + 27*T1^4*T2^10 - 
      8*T1^5*T2^10 - 29*T1^6*T2^10 + 64*T1^7*T2^10 - 49*T1^8*T2^10 + 
      64*T1^9*T2^10 - 29*T1^10*T2^10 - 8*T1^11*T2^10 + 27*T1^12*T2^10 - 
      21*T1^5*T2^11 + 24*T1^6*T2^11 - 8*T1^7*T2^11 - 8*T1^8*T2^11 - 
      8*T1^9*T2^11 - 8*T1^10*T2^11 + 24*T1^11*T2^11 - 21*T1^12*T2^11 + 
      9*T1^6*T2^12 - 21*T1^7*T2^12 + 27*T1^8*T2^12 - 25*T1^9*T2^12 + 
      27*T1^10*T2^12 - 21*T1^11*T2^12 + 9*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 83] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(2 - 3*T + 2*T^2))/T^3), 
   -((17 - 92*T1 + 198*T1^2 - 255*T1^3 + 198*T1^4 - 92*T1^5 + 17*T1^6 - 
      92*T2 + 408*T1*T2 - 580*T1^2*T2 + 312*T1^3*T2 + 312*T1^4*T2 - 
      580*T1^5*T2 + 408*T1^6*T2 - 92*T1^7*T2 + 198*T2^2 - 580*T1*T2^2 - 
      159*T1^2*T2^2 + 1735*T1^3*T2^2 - 2833*T1^4*T2^2 + 1735*T1^5*T2^2 - 
      159*T1^6*T2^2 - 580*T1^7*T2^2 + 198*T1^8*T2^2 - 255*T2^3 + 
      312*T1*T2^3 + 1735*T1^2*T2^3 - 3198*T1^3*T2^3 + 2030*T1^4*T2^3 + 
      2030*T1^5*T2^3 - 3198*T1^6*T2^3 + 1735*T1^7*T2^3 + 312*T1^8*T2^3 - 
      255*T1^9*T2^3 + 198*T2^4 + 312*T1*T2^4 - 2833*T1^2*T2^4 + 
      2030*T1^3*T2^4 + 1683*T1^4*T2^4 - 5217*T1^5*T2^4 + 1683*T1^6*T2^4 + 
      2030*T1^7*T2^4 - 2833*T1^8*T2^4 + 312*T1^9*T2^4 + 198*T1^10*T2^4 - 
      92*T2^5 - 580*T1*T2^5 + 1735*T1^2*T2^5 + 2030*T1^3*T2^5 - 
      5217*T1^4*T2^5 + 3902*T1^5*T2^5 + 3902*T1^6*T2^5 - 5217*T1^7*T2^5 + 
      2030*T1^8*T2^5 + 1735*T1^9*T2^5 - 580*T1^10*T2^5 - 92*T1^11*T2^5 + 
      17*T2^6 + 408*T1*T2^6 - 159*T1^2*T2^6 - 3198*T1^3*T2^6 + 
      1683*T1^4*T2^6 + 3902*T1^5*T2^6 - 9324*T1^6*T2^6 + 3902*T1^7*T2^6 + 
      1683*T1^8*T2^6 - 3198*T1^9*T2^6 - 159*T1^10*T2^6 + 408*T1^11*T2^6 + 
      17*T1^12*T2^6 - 92*T1*T2^7 - 580*T1^2*T2^7 + 1735*T1^3*T2^7 + 
      2030*T1^4*T2^7 - 5217*T1^5*T2^7 + 3902*T1^6*T2^7 + 3902*T1^7*T2^7 - 
      5217*T1^8*T2^7 + 2030*T1^9*T2^7 + 1735*T1^10*T2^7 - 580*T1^11*T2^7 - 
      92*T1^12*T2^7 + 198*T1^2*T2^8 + 312*T1^3*T2^8 - 2833*T1^4*T2^8 + 
      2030*T1^5*T2^8 + 1683*T1^6*T2^8 - 5217*T1^7*T2^8 + 1683*T1^8*T2^8 + 
      2030*T1^9*T2^8 - 2833*T1^10*T2^8 + 312*T1^11*T2^8 + 198*T1^12*T2^8 - 
      255*T1^3*T2^9 + 312*T1^4*T2^9 + 1735*T1^5*T2^9 - 3198*T1^6*T2^9 + 
      2030*T1^7*T2^9 + 2030*T1^8*T2^9 - 3198*T1^9*T2^9 + 1735*T1^10*T2^9 + 
      312*T1^11*T2^9 - 255*T1^12*T2^9 + 198*T1^4*T2^10 - 580*T1^5*T2^10 - 
      159*T1^6*T2^10 + 1735*T1^7*T2^10 - 2833*T1^8*T2^10 + 1735*T1^9*T2^10 - 
      159*T1^10*T2^10 - 580*T1^11*T2^10 + 198*T1^12*T2^10 - 92*T1^5*T2^11 + 
      408*T1^6*T2^11 - 580*T1^7*T2^11 + 312*T1^8*T2^11 + 312*T1^9*T2^11 - 
      580*T1^10*T2^11 + 408*T1^11*T2^11 - 92*T1^12*T2^11 + 17*T1^6*T2^12 - 
      92*T1^7*T2^12 + 198*T1^8*T2^12 - 255*T1^9*T2^12 + 198*T1^10*T2^12 - 
      92*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 84] -> {((1 - T + T^2)^2*(2 - 3*T + 2*T^2))/T^3, 
   (7 - 24*T1 + 46*T1^2 - 55*T1^3 + 46*T1^4 - 24*T1^5 + 7*T1^6 - 24*T2 + 
     58*T1*T2 - 74*T1^2*T2 + 30*T1^3*T2 + 30*T1^4*T2 - 74*T1^5*T2 + 
     58*T1^6*T2 - 24*T1^7*T2 + 46*T2^2 - 74*T1*T2^2 + 38*T1^2*T2^2 + 
     93*T1^3*T2^2 - 142*T1^4*T2^2 + 93*T1^5*T2^2 + 38*T1^6*T2^2 - 
     74*T1^7*T2^2 + 46*T1^8*T2^2 - 55*T2^3 + 30*T1*T2^3 + 93*T1^2*T2^3 - 
     242*T1^3*T2^3 + 113*T1^4*T2^3 + 113*T1^5*T2^3 - 242*T1^6*T2^3 + 
     93*T1^7*T2^3 + 30*T1^8*T2^3 - 55*T1^9*T2^3 + 46*T2^4 + 30*T1*T2^4 - 
     142*T1^2*T2^4 + 113*T1^3*T2^4 + 238*T1^4*T2^4 - 414*T1^5*T2^4 + 
     238*T1^6*T2^4 + 113*T1^7*T2^4 - 142*T1^8*T2^4 + 30*T1^9*T2^4 + 
     46*T1^10*T2^4 - 24*T2^5 - 74*T1*T2^5 + 93*T1^2*T2^5 + 113*T1^3*T2^5 - 
     414*T1^4*T2^5 + 230*T1^5*T2^5 + 230*T1^6*T2^5 - 414*T1^7*T2^5 + 
     113*T1^8*T2^5 + 93*T1^9*T2^5 - 74*T1^10*T2^5 - 24*T1^11*T2^5 + 7*T2^6 + 
     58*T1*T2^6 + 38*T1^2*T2^6 - 242*T1^3*T2^6 + 238*T1^4*T2^6 + 
     230*T1^5*T2^6 - 516*T1^6*T2^6 + 230*T1^7*T2^6 + 238*T1^8*T2^6 - 
     242*T1^9*T2^6 + 38*T1^10*T2^6 + 58*T1^11*T2^6 + 7*T1^12*T2^6 - 
     24*T1*T2^7 - 74*T1^2*T2^7 + 93*T1^3*T2^7 + 113*T1^4*T2^7 - 
     414*T1^5*T2^7 + 230*T1^6*T2^7 + 230*T1^7*T2^7 - 414*T1^8*T2^7 + 
     113*T1^9*T2^7 + 93*T1^10*T2^7 - 74*T1^11*T2^7 - 24*T1^12*T2^7 + 
     46*T1^2*T2^8 + 30*T1^3*T2^8 - 142*T1^4*T2^8 + 113*T1^5*T2^8 + 
     238*T1^6*T2^8 - 414*T1^7*T2^8 + 238*T1^8*T2^8 + 113*T1^9*T2^8 - 
     142*T1^10*T2^8 + 30*T1^11*T2^8 + 46*T1^12*T2^8 - 55*T1^3*T2^9 + 
     30*T1^4*T2^9 + 93*T1^5*T2^9 - 242*T1^6*T2^9 + 113*T1^7*T2^9 + 
     113*T1^8*T2^9 - 242*T1^9*T2^9 + 93*T1^10*T2^9 + 30*T1^11*T2^9 - 
     55*T1^12*T2^9 + 46*T1^4*T2^10 - 74*T1^5*T2^10 + 38*T1^6*T2^10 + 
     93*T1^7*T2^10 - 142*T1^8*T2^10 + 93*T1^9*T2^10 + 38*T1^10*T2^10 - 
     74*T1^11*T2^10 + 46*T1^12*T2^10 - 24*T1^5*T2^11 + 58*T1^6*T2^11 - 
     74*T1^7*T2^11 + 30*T1^8*T2^11 + 30*T1^9*T2^11 - 74*T1^10*T2^11 + 
     58*T1^11*T2^11 - 24*T1^12*T2^11 + 7*T1^6*T2^12 - 24*T1^7*T2^12 + 
     46*T1^8*T2^12 - 55*T1^9*T2^12 + 46*T1^10*T2^12 - 24*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 85] -> 
  {-((2 - 8*T + 14*T^2 - 17*T^3 + 14*T^4 - 8*T^5 + 2*T^6)/T^3), 
   (1 - 4*T1 + 7*T1^2 - 9*T1^3 + 7*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 12*T1*T2 - 
     11*T1^2*T2 + 7*T1^3*T2 + 7*T1^4*T2 - 11*T1^5*T2 + 12*T1^6*T2 - 
     4*T1^7*T2 + 7*T2^2 - 11*T1*T2^2 - 6*T1^2*T2^2 - 18*T1^3*T2^2 + 
     18*T1^4*T2^2 - 18*T1^5*T2^2 - 6*T1^6*T2^2 - 11*T1^7*T2^2 + 7*T1^8*T2^2 - 
     9*T2^3 + 7*T1*T2^3 - 18*T1^2*T2^3 + 160*T1^3*T2^3 - 70*T1^4*T2^3 - 
     70*T1^5*T2^3 + 160*T1^6*T2^3 - 18*T1^7*T2^3 + 7*T1^8*T2^3 - 
     9*T1^9*T2^3 + 7*T2^4 + 7*T1*T2^4 + 18*T1^2*T2^4 - 70*T1^3*T2^4 - 
     521*T1^4*T2^4 + 755*T1^5*T2^4 - 521*T1^6*T2^4 - 70*T1^7*T2^4 + 
     18*T1^8*T2^4 + 7*T1^9*T2^4 + 7*T1^10*T2^4 - 4*T2^5 - 11*T1*T2^5 - 
     18*T1^2*T2^5 - 70*T1^3*T2^5 + 755*T1^4*T2^5 - 336*T1^5*T2^5 - 
     336*T1^6*T2^5 + 755*T1^7*T2^5 - 70*T1^8*T2^5 - 18*T1^9*T2^5 - 
     11*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 12*T1*T2^6 - 6*T1^2*T2^6 + 
     160*T1^3*T2^6 - 521*T1^4*T2^6 - 336*T1^5*T2^6 + 624*T1^6*T2^6 - 
     336*T1^7*T2^6 - 521*T1^8*T2^6 + 160*T1^9*T2^6 - 6*T1^10*T2^6 + 
     12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 11*T1^2*T2^7 - 18*T1^3*T2^7 - 
     70*T1^4*T2^7 + 755*T1^5*T2^7 - 336*T1^6*T2^7 - 336*T1^7*T2^7 + 
     755*T1^8*T2^7 - 70*T1^9*T2^7 - 18*T1^10*T2^7 - 11*T1^11*T2^7 - 
     4*T1^12*T2^7 + 7*T1^2*T2^8 + 7*T1^3*T2^8 + 18*T1^4*T2^8 - 70*T1^5*T2^8 - 
     521*T1^6*T2^8 + 755*T1^7*T2^8 - 521*T1^8*T2^8 - 70*T1^9*T2^8 + 
     18*T1^10*T2^8 + 7*T1^11*T2^8 + 7*T1^12*T2^8 - 9*T1^3*T2^9 + 
     7*T1^4*T2^9 - 18*T1^5*T2^9 + 160*T1^6*T2^9 - 70*T1^7*T2^9 - 
     70*T1^8*T2^9 + 160*T1^9*T2^9 - 18*T1^10*T2^9 + 7*T1^11*T2^9 - 
     9*T1^12*T2^9 + 7*T1^4*T2^10 - 11*T1^5*T2^10 - 6*T1^6*T2^10 - 
     18*T1^7*T2^10 + 18*T1^8*T2^10 - 18*T1^9*T2^10 - 6*T1^10*T2^10 - 
     11*T1^11*T2^10 + 7*T1^12*T2^10 - 4*T1^5*T2^11 + 12*T1^6*T2^11 - 
     11*T1^7*T2^11 + 7*T1^8*T2^11 + 7*T1^9*T2^11 - 11*T1^10*T2^11 + 
     12*T1^11*T2^11 - 4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 
     7*T1^8*T2^12 - 9*T1^9*T2^12 + 7*T1^10*T2^12 - 4*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 86] -> 
  {(2 - 10*T + 24*T^2 - 31*T^3 + 24*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (9 - 44*T1 + 104*T1^2 - 133*T1^3 + 104*T1^4 - 44*T1^5 + 9*T1^6 - 44*T2 + 
     172*T1*T2 - 299*T1^2*T2 + 145*T1^3*T2 + 145*T1^4*T2 - 299*T1^5*T2 + 
     172*T1^6*T2 - 44*T1^7*T2 + 104*T2^2 - 299*T1*T2^2 + 293*T1^2*T2^2 + 
     405*T1^3*T2^2 - 745*T1^4*T2^2 + 405*T1^5*T2^2 + 293*T1^6*T2^2 - 
     299*T1^7*T2^2 + 104*T1^8*T2^2 - 133*T2^3 + 145*T1*T2^3 + 405*T1^2*T2^3 - 
     1614*T1^3*T2^3 + 793*T1^4*T2^3 + 793*T1^5*T2^3 - 1614*T1^6*T2^3 + 
     405*T1^7*T2^3 + 145*T1^8*T2^3 - 133*T1^9*T2^3 + 104*T2^4 + 145*T1*T2^4 - 
     745*T1^2*T2^4 + 793*T1^3*T2^4 + 2674*T1^4*T2^4 - 4226*T1^5*T2^4 + 
     2674*T1^6*T2^4 + 793*T1^7*T2^4 - 745*T1^8*T2^4 + 145*T1^9*T2^4 + 
     104*T1^10*T2^4 - 44*T2^5 - 299*T1*T2^5 + 405*T1^2*T2^5 + 793*T1^3*T2^5 - 
     4226*T1^4*T2^5 + 2050*T1^5*T2^5 + 2050*T1^6*T2^5 - 4226*T1^7*T2^5 + 
     793*T1^8*T2^5 + 405*T1^9*T2^5 - 299*T1^10*T2^5 - 44*T1^11*T2^5 + 
     9*T2^6 + 172*T1*T2^6 + 293*T1^2*T2^6 - 1614*T1^3*T2^6 + 2674*T1^4*T2^6 + 
     2050*T1^5*T2^6 - 4128*T1^6*T2^6 + 2050*T1^7*T2^6 + 2674*T1^8*T2^6 - 
     1614*T1^9*T2^6 + 293*T1^10*T2^6 + 172*T1^11*T2^6 + 9*T1^12*T2^6 - 
     44*T1*T2^7 - 299*T1^2*T2^7 + 405*T1^3*T2^7 + 793*T1^4*T2^7 - 
     4226*T1^5*T2^7 + 2050*T1^6*T2^7 + 2050*T1^7*T2^7 - 4226*T1^8*T2^7 + 
     793*T1^9*T2^7 + 405*T1^10*T2^7 - 299*T1^11*T2^7 - 44*T1^12*T2^7 + 
     104*T1^2*T2^8 + 145*T1^3*T2^8 - 745*T1^4*T2^8 + 793*T1^5*T2^8 + 
     2674*T1^6*T2^8 - 4226*T1^7*T2^8 + 2674*T1^8*T2^8 + 793*T1^9*T2^8 - 
     745*T1^10*T2^8 + 145*T1^11*T2^8 + 104*T1^12*T2^8 - 133*T1^3*T2^9 + 
     145*T1^4*T2^9 + 405*T1^5*T2^9 - 1614*T1^6*T2^9 + 793*T1^7*T2^9 + 
     793*T1^8*T2^9 - 1614*T1^9*T2^9 + 405*T1^10*T2^9 + 145*T1^11*T2^9 - 
     133*T1^12*T2^9 + 104*T1^4*T2^10 - 299*T1^5*T2^10 + 293*T1^6*T2^10 + 
     405*T1^7*T2^10 - 745*T1^8*T2^10 + 405*T1^9*T2^10 + 293*T1^10*T2^10 - 
     299*T1^11*T2^10 + 104*T1^12*T2^10 - 44*T1^5*T2^11 + 172*T1^6*T2^11 - 
     299*T1^7*T2^11 + 145*T1^8*T2^11 + 145*T1^9*T2^11 - 299*T1^10*T2^11 + 
     172*T1^11*T2^11 - 44*T1^12*T2^11 + 9*T1^6*T2^12 - 44*T1^7*T2^12 + 
     104*T1^8*T2^12 - 133*T1^9*T2^12 + 104*T1^10*T2^12 - 44*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, 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 + 66*T1*T2 - 84*T1^2*T2 + 88*T1^3*T2 - 84*T1^4*T2 + 
     66*T1^5*T2 - 20*T1^6*T2 + 12*T2^2 - 84*T1*T2^2 + 88*T1^2*T2^2 - 
     57*T1^3*T2^2 - 57*T1^4*T2^2 + 88*T1^5*T2^2 - 84*T1^6*T2^2 + 
     12*T1^7*T2^2 + 12*T2^3 + 88*T1*T2^3 - 57*T1^2*T2^3 + 68*T1^3*T2^3 + 
     42*T1^4*T2^3 + 68*T1^5*T2^3 - 57*T1^6*T2^3 + 88*T1^7*T2^3 + 
     12*T1^8*T2^3 - 20*T2^4 - 84*T1*T2^4 - 57*T1^2*T2^4 + 42*T1^3*T2^4 - 
     134*T1^4*T2^4 - 134*T1^5*T2^4 + 42*T1^6*T2^4 - 57*T1^7*T2^4 - 
     84*T1^8*T2^4 - 20*T1^9*T2^4 + 8*T2^5 + 66*T1*T2^5 + 88*T1^2*T2^5 + 
     68*T1^3*T2^5 - 134*T1^4*T2^5 + 432*T1^5*T2^5 - 134*T1^6*T2^5 + 
     68*T1^7*T2^5 + 88*T1^8*T2^5 + 66*T1^9*T2^5 + 8*T1^10*T2^5 - 20*T1*T2^6 - 
     84*T1^2*T2^6 - 57*T1^3*T2^6 + 42*T1^4*T2^6 - 134*T1^5*T2^6 - 
     134*T1^6*T2^6 + 42*T1^7*T2^6 - 57*T1^8*T2^6 - 84*T1^9*T2^6 - 
     20*T1^10*T2^6 + 12*T1^2*T2^7 + 88*T1^3*T2^7 - 57*T1^4*T2^7 + 
     68*T1^5*T2^7 + 42*T1^6*T2^7 + 68*T1^7*T2^7 - 57*T1^8*T2^7 + 
     88*T1^9*T2^7 + 12*T1^10*T2^7 + 12*T1^3*T2^8 - 84*T1^4*T2^8 + 
     88*T1^5*T2^8 - 57*T1^6*T2^8 - 57*T1^7*T2^8 + 88*T1^8*T2^8 - 
     84*T1^9*T2^8 + 12*T1^10*T2^8 - 20*T1^4*T2^9 + 66*T1^5*T2^9 - 
     84*T1^6*T2^9 + 88*T1^7*T2^9 - 84*T1^8*T2^9 + 66*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)/(T1^5*T2^5)}, 
 Knot[12, NonAlternating, 88] -> 
  {((2 - 3*T + 2*T^2)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^3, 
   (196 - 668*T1 + 1223*T1^2 - 1448*T1^3 + 1223*T1^4 - 668*T1^5 + 196*T1^6 - 
     668*T2 + 1630*T1*T2 - 1936*T1^2*T2 + 794*T1^3*T2 + 794*T1^4*T2 - 
     1936*T1^5*T2 + 1630*T1^6*T2 - 668*T1^7*T2 + 1223*T2^2 - 1936*T1*T2^2 + 
     1011*T1^2*T2^2 + 1405*T1^3*T2^2 - 2179*T1^4*T2^2 + 1405*T1^5*T2^2 + 
     1011*T1^6*T2^2 - 1936*T1^7*T2^2 + 1223*T1^8*T2^2 - 1448*T2^3 + 
     794*T1*T2^3 + 1405*T1^2*T2^3 - 3332*T1^3*T2^3 + 1174*T1^4*T2^3 + 
     1174*T1^5*T2^3 - 3332*T1^6*T2^3 + 1405*T1^7*T2^3 + 794*T1^8*T2^3 - 
     1448*T1^9*T2^3 + 1223*T2^4 + 794*T1*T2^4 - 2179*T1^2*T2^4 + 
     1174*T1^3*T2^4 + 3615*T1^4*T2^4 - 4415*T1^5*T2^4 + 3615*T1^6*T2^4 + 
     1174*T1^7*T2^4 - 2179*T1^8*T2^4 + 794*T1^9*T2^4 + 1223*T1^10*T2^4 - 
     668*T2^5 - 1936*T1*T2^5 + 1405*T1^2*T2^5 + 1174*T1^3*T2^5 - 
     4415*T1^4*T2^5 + 1148*T1^5*T2^5 + 1148*T1^6*T2^5 - 4415*T1^7*T2^5 + 
     1174*T1^8*T2^5 + 1405*T1^9*T2^5 - 1936*T1^10*T2^5 - 668*T1^11*T2^5 + 
     196*T2^6 + 1630*T1*T2^6 + 1011*T1^2*T2^6 - 3332*T1^3*T2^6 + 
     3615*T1^4*T2^6 + 1148*T1^5*T2^6 - 1260*T1^6*T2^6 + 1148*T1^7*T2^6 + 
     3615*T1^8*T2^6 - 3332*T1^9*T2^6 + 1011*T1^10*T2^6 + 1630*T1^11*T2^6 + 
     196*T1^12*T2^6 - 668*T1*T2^7 - 1936*T1^2*T2^7 + 1405*T1^3*T2^7 + 
     1174*T1^4*T2^7 - 4415*T1^5*T2^7 + 1148*T1^6*T2^7 + 1148*T1^7*T2^7 - 
     4415*T1^8*T2^7 + 1174*T1^9*T2^7 + 1405*T1^10*T2^7 - 1936*T1^11*T2^7 - 
     668*T1^12*T2^7 + 1223*T1^2*T2^8 + 794*T1^3*T2^8 - 2179*T1^4*T2^8 + 
     1174*T1^5*T2^8 + 3615*T1^6*T2^8 - 4415*T1^7*T2^8 + 3615*T1^8*T2^8 + 
     1174*T1^9*T2^8 - 2179*T1^10*T2^8 + 794*T1^11*T2^8 + 1223*T1^12*T2^8 - 
     1448*T1^3*T2^9 + 794*T1^4*T2^9 + 1405*T1^5*T2^9 - 3332*T1^6*T2^9 + 
     1174*T1^7*T2^9 + 1174*T1^8*T2^9 - 3332*T1^9*T2^9 + 1405*T1^10*T2^9 + 
     794*T1^11*T2^9 - 1448*T1^12*T2^9 + 1223*T1^4*T2^10 - 1936*T1^5*T2^10 + 
     1011*T1^6*T2^10 + 1405*T1^7*T2^10 - 2179*T1^8*T2^10 + 1405*T1^9*T2^10 + 
     1011*T1^10*T2^10 - 1936*T1^11*T2^10 + 1223*T1^12*T2^10 - 
     668*T1^5*T2^11 + 1630*T1^6*T2^11 - 1936*T1^7*T2^11 + 794*T1^8*T2^11 + 
     794*T1^9*T2^11 - 1936*T1^10*T2^11 + 1630*T1^11*T2^11 - 668*T1^12*T2^11 + 
     196*T1^6*T2^12 - 668*T1^7*T2^12 + 1223*T1^8*T2^12 - 1448*T1^9*T2^12 + 
     1223*T1^10*T2^12 - 668*T1^11*T2^12 + 196*T1^12*T2^12)/(T1^6*T2^6)}, 
 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), 
   -((3 - 12*T1 + 18*T1^2 - 21*T1^3 + 21*T1^4 - 21*T1^5 + 18*T1^6 - 12*T1^7 + 
      3*T1^8 - 12*T2 + 36*T1*T2 - 24*T1^2*T2 + 12*T1^3*T2 + 12*T1^6*T2 - 
      24*T1^7*T2 + 36*T1^8*T2 - 12*T1^9*T2 + 18*T2^2 - 24*T1*T2^2 - 
      64*T1^2*T2^2 + 88*T1^3*T2^2 - 98*T1^4*T2^2 + 80*T1^5*T2^2 - 
      98*T1^6*T2^2 + 88*T1^7*T2^2 - 64*T1^8*T2^2 - 24*T1^9*T2^2 + 
      18*T1^10*T2^2 - 21*T2^3 + 12*T1*T2^3 + 88*T1^2*T2^3 - 28*T1^3*T2^3 + 
      13*T1^4*T2^3 + 17*T1^5*T2^3 + 17*T1^6*T2^3 + 13*T1^7*T2^3 - 
      28*T1^8*T2^3 + 88*T1^9*T2^3 + 12*T1^10*T2^3 - 21*T1^11*T2^3 + 21*T2^4 - 
      98*T1^2*T2^4 + 13*T1^3*T2^4 - 58*T1^4*T2^4 + 46*T1^5*T2^4 - 
      92*T1^6*T2^4 + 46*T1^7*T2^4 - 58*T1^8*T2^4 + 13*T1^9*T2^4 - 
      98*T1^10*T2^4 + 21*T1^12*T2^4 - 21*T2^5 + 80*T1^2*T2^5 + 17*T1^3*T2^5 + 
      46*T1^4*T2^5 + 2*T1^5*T2^5 + 29*T1^6*T2^5 + 29*T1^7*T2^5 + 
      2*T1^8*T2^5 + 46*T1^9*T2^5 + 17*T1^10*T2^5 + 80*T1^11*T2^5 - 
      21*T1^13*T2^5 + 18*T2^6 + 12*T1*T2^6 - 98*T1^2*T2^6 + 17*T1^3*T2^6 - 
      92*T1^4*T2^6 + 29*T1^5*T2^6 - 68*T1^6*T2^6 + 18*T1^7*T2^6 - 
      68*T1^8*T2^6 + 29*T1^9*T2^6 - 92*T1^10*T2^6 + 17*T1^11*T2^6 - 
      98*T1^12*T2^6 + 12*T1^13*T2^6 + 18*T1^14*T2^6 - 12*T2^7 - 24*T1*T2^7 + 
      88*T1^2*T2^7 + 13*T1^3*T2^7 + 46*T1^4*T2^7 + 29*T1^5*T2^7 + 
      18*T1^6*T2^7 + 26*T1^7*T2^7 + 26*T1^8*T2^7 + 18*T1^9*T2^7 + 
      29*T1^10*T2^7 + 46*T1^11*T2^7 + 13*T1^12*T2^7 + 88*T1^13*T2^7 - 
      24*T1^14*T2^7 - 12*T1^15*T2^7 + 3*T2^8 + 36*T1*T2^8 - 64*T1^2*T2^8 - 
      28*T1^3*T2^8 - 58*T1^4*T2^8 + 2*T1^5*T2^8 - 68*T1^6*T2^8 + 
      26*T1^7*T2^8 - 72*T1^8*T2^8 + 26*T1^9*T2^8 - 68*T1^10*T2^8 + 
      2*T1^11*T2^8 - 58*T1^12*T2^8 - 28*T1^13*T2^8 - 64*T1^14*T2^8 + 
      36*T1^15*T2^8 + 3*T1^16*T2^8 - 12*T1*T2^9 - 24*T1^2*T2^9 + 
      88*T1^3*T2^9 + 13*T1^4*T2^9 + 46*T1^5*T2^9 + 29*T1^6*T2^9 + 
      18*T1^7*T2^9 + 26*T1^8*T2^9 + 26*T1^9*T2^9 + 18*T1^10*T2^9 + 
      29*T1^11*T2^9 + 46*T1^12*T2^9 + 13*T1^13*T2^9 + 88*T1^14*T2^9 - 
      24*T1^15*T2^9 - 12*T1^16*T2^9 + 18*T1^2*T2^10 + 12*T1^3*T2^10 - 
      98*T1^4*T2^10 + 17*T1^5*T2^10 - 92*T1^6*T2^10 + 29*T1^7*T2^10 - 
      68*T1^8*T2^10 + 18*T1^9*T2^10 - 68*T1^10*T2^10 + 29*T1^11*T2^10 - 
      92*T1^12*T2^10 + 17*T1^13*T2^10 - 98*T1^14*T2^10 + 12*T1^15*T2^10 + 
      18*T1^16*T2^10 - 21*T1^3*T2^11 + 80*T1^5*T2^11 + 17*T1^6*T2^11 + 
      46*T1^7*T2^11 + 2*T1^8*T2^11 + 29*T1^9*T2^11 + 29*T1^10*T2^11 + 
      2*T1^11*T2^11 + 46*T1^12*T2^11 + 17*T1^13*T2^11 + 80*T1^14*T2^11 - 
      21*T1^16*T2^11 + 21*T1^4*T2^12 - 98*T1^6*T2^12 + 13*T1^7*T2^12 - 
      58*T1^8*T2^12 + 46*T1^9*T2^12 - 92*T1^10*T2^12 + 46*T1^11*T2^12 - 
      58*T1^12*T2^12 + 13*T1^13*T2^12 - 98*T1^14*T2^12 + 21*T1^16*T2^12 - 
      21*T1^5*T2^13 + 12*T1^6*T2^13 + 88*T1^7*T2^13 - 28*T1^8*T2^13 + 
      13*T1^9*T2^13 + 17*T1^10*T2^13 + 17*T1^11*T2^13 + 13*T1^12*T2^13 - 
      28*T1^13*T2^13 + 88*T1^14*T2^13 + 12*T1^15*T2^13 - 21*T1^16*T2^13 + 
      18*T1^6*T2^14 - 24*T1^7*T2^14 - 64*T1^8*T2^14 + 88*T1^9*T2^14 - 
      98*T1^10*T2^14 + 80*T1^11*T2^14 - 98*T1^12*T2^14 + 88*T1^13*T2^14 - 
      64*T1^14*T2^14 - 24*T1^15*T2^14 + 18*T1^16*T2^14 - 12*T1^7*T2^15 + 
      36*T1^8*T2^15 - 24*T1^9*T2^15 + 12*T1^10*T2^15 + 12*T1^13*T2^15 - 
      24*T1^14*T2^15 + 36*T1^15*T2^15 - 12*T1^16*T2^15 + 3*T1^8*T2^16 - 
      12*T1^9*T2^16 + 18*T1^10*T2^16 - 21*T1^11*T2^16 + 21*T1^12*T2^16 - 
      21*T1^13*T2^16 + 18*T1^14*T2^16 - 12*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^8*T2^8))}, 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 + 24*T1*T2 - 48*T1^2*T2 + 40*T1^3*T2 - 16*T1^4*T2 - 
      16*T1^5*T2 + 40*T1^6*T2 - 48*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 
      20*T2^2 - 48*T1*T2^2 + 88*T1^2*T2^2 - 44*T1^3*T2^2 + 25*T1^4*T2^2 - 
      12*T1^5*T2^2 + 25*T1^6*T2^2 - 44*T1^7*T2^2 + 88*T1^8*T2^2 - 
      48*T1^9*T2^2 + 20*T1^10*T2^2 - 30*T2^3 + 40*T1*T2^3 - 44*T1^2*T2^3 - 
      98*T1^3*T2^3 + 67*T1^4*T2^3 - 35*T1^5*T2^3 - 35*T1^6*T2^3 + 
      67*T1^7*T2^3 - 98*T1^8*T2^3 - 44*T1^9*T2^3 + 40*T1^10*T2^3 - 
      30*T1^11*T2^3 + 34*T2^4 - 16*T1*T2^4 + 25*T1^2*T2^4 + 67*T1^3*T2^4 + 
      242*T1^4*T2^4 - 364*T1^5*T2^4 + 444*T1^6*T2^4 - 364*T1^7*T2^4 + 
      242*T1^8*T2^4 + 67*T1^9*T2^4 + 25*T1^10*T2^4 - 16*T1^11*T2^4 + 
      34*T1^12*T2^4 - 30*T2^5 - 16*T1*T2^5 - 12*T1^2*T2^5 - 35*T1^3*T2^5 - 
      364*T1^4*T2^5 + 224*T1^5*T2^5 - 112*T1^6*T2^5 - 112*T1^7*T2^5 + 
      224*T1^8*T2^5 - 364*T1^9*T2^5 - 35*T1^10*T2^5 - 12*T1^11*T2^5 - 
      16*T1^12*T2^5 - 30*T1^13*T2^5 + 20*T2^6 + 40*T1*T2^6 + 25*T1^2*T2^6 - 
      35*T1^3*T2^6 + 444*T1^4*T2^6 - 112*T1^5*T2^6 + 65*T1^6*T2^6 + 
      41*T1^7*T2^6 + 65*T1^8*T2^6 - 112*T1^9*T2^6 + 444*T1^10*T2^6 - 
      35*T1^11*T2^6 + 25*T1^12*T2^6 + 40*T1^13*T2^6 + 20*T1^14*T2^6 - 
      8*T2^7 - 48*T1*T2^7 - 44*T1^2*T2^7 + 67*T1^3*T2^7 - 364*T1^4*T2^7 - 
      112*T1^5*T2^7 + 41*T1^6*T2^7 - 80*T1^7*T2^7 - 80*T1^8*T2^7 + 
      41*T1^9*T2^7 - 112*T1^10*T2^7 - 364*T1^11*T2^7 + 67*T1^12*T2^7 - 
      44*T1^13*T2^7 - 48*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 24*T1*T2^8 + 
      88*T1^2*T2^8 - 98*T1^3*T2^8 + 242*T1^4*T2^8 + 224*T1^5*T2^8 + 
      65*T1^6*T2^8 - 80*T1^7*T2^8 + 216*T1^8*T2^8 - 80*T1^9*T2^8 + 
      65*T1^10*T2^8 + 224*T1^11*T2^8 + 242*T1^12*T2^8 - 98*T1^13*T2^8 + 
      88*T1^14*T2^8 + 24*T1^15*T2^8 + 2*T1^16*T2^8 - 8*T1*T2^9 - 
      48*T1^2*T2^9 - 44*T1^3*T2^9 + 67*T1^4*T2^9 - 364*T1^5*T2^9 - 
      112*T1^6*T2^9 + 41*T1^7*T2^9 - 80*T1^8*T2^9 - 80*T1^9*T2^9 + 
      41*T1^10*T2^9 - 112*T1^11*T2^9 - 364*T1^12*T2^9 + 67*T1^13*T2^9 - 
      44*T1^14*T2^9 - 48*T1^15*T2^9 - 8*T1^16*T2^9 + 20*T1^2*T2^10 + 
      40*T1^3*T2^10 + 25*T1^4*T2^10 - 35*T1^5*T2^10 + 444*T1^6*T2^10 - 
      112*T1^7*T2^10 + 65*T1^8*T2^10 + 41*T1^9*T2^10 + 65*T1^10*T2^10 - 
      112*T1^11*T2^10 + 444*T1^12*T2^10 - 35*T1^13*T2^10 + 25*T1^14*T2^10 + 
      40*T1^15*T2^10 + 20*T1^16*T2^10 - 30*T1^3*T2^11 - 16*T1^4*T2^11 - 
      12*T1^5*T2^11 - 35*T1^6*T2^11 - 364*T1^7*T2^11 + 224*T1^8*T2^11 - 
      112*T1^9*T2^11 - 112*T1^10*T2^11 + 224*T1^11*T2^11 - 364*T1^12*T2^11 - 
      35*T1^13*T2^11 - 12*T1^14*T2^11 - 16*T1^15*T2^11 - 30*T1^16*T2^11 + 
      34*T1^4*T2^12 - 16*T1^5*T2^12 + 25*T1^6*T2^12 + 67*T1^7*T2^12 + 
      242*T1^8*T2^12 - 364*T1^9*T2^12 + 444*T1^10*T2^12 - 364*T1^11*T2^12 + 
      242*T1^12*T2^12 + 67*T1^13*T2^12 + 25*T1^14*T2^12 - 16*T1^15*T2^12 + 
      34*T1^16*T2^12 - 30*T1^5*T2^13 + 40*T1^6*T2^13 - 44*T1^7*T2^13 - 
      98*T1^8*T2^13 + 67*T1^9*T2^13 - 35*T1^10*T2^13 - 35*T1^11*T2^13 + 
      67*T1^12*T2^13 - 98*T1^13*T2^13 - 44*T1^14*T2^13 + 40*T1^15*T2^13 - 
      30*T1^16*T2^13 + 20*T1^6*T2^14 - 48*T1^7*T2^14 + 88*T1^8*T2^14 - 
      44*T1^9*T2^14 + 25*T1^10*T2^14 - 12*T1^11*T2^14 + 25*T1^12*T2^14 - 
      44*T1^13*T2^14 + 88*T1^14*T2^14 - 48*T1^15*T2^14 + 20*T1^16*T2^14 - 
      8*T1^7*T2^15 + 24*T1^8*T2^15 - 48*T1^9*T2^15 + 40*T1^10*T2^15 - 
      16*T1^11*T2^15 - 16*T1^12*T2^15 + 40*T1^13*T2^15 - 48*T1^14*T2^15 + 
      24*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)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 91] -> 
  {(1 - 6*T^2 + 15*T^3 - 19*T^4 + 15*T^5 - 6*T^6 + T^8)/T^4, 
   (4 - 24*T1^2 + 60*T1^3 - 76*T1^4 + 60*T1^5 - 24*T1^6 + 4*T1^8 - 24*T2^2 + 
     116*T1^2*T2^2 - 325*T1^3*T2^2 + 513*T1^4*T2^2 - 604*T1^5*T2^2 + 
     513*T1^6*T2^2 - 325*T1^7*T2^2 + 116*T1^8*T2^2 - 24*T1^10*T2^2 + 
     60*T2^3 - 325*T1^2*T2^3 + 794*T1^3*T2^3 - 891*T1^4*T2^3 + 
     410*T1^5*T2^3 + 410*T1^6*T2^3 - 891*T1^7*T2^3 + 794*T1^8*T2^3 - 
     325*T1^9*T2^3 + 60*T1^11*T2^3 - 76*T2^4 + 513*T1^2*T2^4 - 
     891*T1^3*T2^4 + 356*T1^4*T2^4 + 815*T1^5*T2^4 - 1398*T1^6*T2^4 + 
     815*T1^7*T2^4 + 356*T1^8*T2^4 - 891*T1^9*T2^4 + 513*T1^10*T2^4 - 
     76*T1^12*T2^4 + 60*T2^5 - 604*T1^2*T2^5 + 410*T1^3*T2^5 + 
     815*T1^4*T2^5 - 1810*T1^5*T2^5 + 831*T1^6*T2^5 + 831*T1^7*T2^5 - 
     1810*T1^8*T2^5 + 815*T1^9*T2^5 + 410*T1^10*T2^5 - 604*T1^11*T2^5 + 
     60*T1^13*T2^5 - 24*T2^6 + 513*T1^2*T2^6 + 410*T1^3*T2^6 - 
     1398*T1^4*T2^6 + 831*T1^5*T2^6 + 1852*T1^6*T2^6 - 2790*T1^7*T2^6 + 
     1852*T1^8*T2^6 + 831*T1^9*T2^6 - 1398*T1^10*T2^6 + 410*T1^11*T2^6 + 
     513*T1^12*T2^6 - 24*T1^14*T2^6 - 325*T1^2*T2^7 - 891*T1^3*T2^7 + 
     815*T1^4*T2^7 + 831*T1^5*T2^7 - 2790*T1^6*T2^7 + 1076*T1^7*T2^7 + 
     1076*T1^8*T2^7 - 2790*T1^9*T2^7 + 831*T1^10*T2^7 + 815*T1^11*T2^7 - 
     891*T1^12*T2^7 - 325*T1^13*T2^7 + 4*T2^8 + 116*T1^2*T2^8 + 
     794*T1^3*T2^8 + 356*T1^4*T2^8 - 1810*T1^5*T2^8 + 1852*T1^6*T2^8 + 
     1076*T1^7*T2^8 - 1788*T1^8*T2^8 + 1076*T1^9*T2^8 + 1852*T1^10*T2^8 - 
     1810*T1^11*T2^8 + 356*T1^12*T2^8 + 794*T1^13*T2^8 + 116*T1^14*T2^8 + 
     4*T1^16*T2^8 - 325*T1^3*T2^9 - 891*T1^4*T2^9 + 815*T1^5*T2^9 + 
     831*T1^6*T2^9 - 2790*T1^7*T2^9 + 1076*T1^8*T2^9 + 1076*T1^9*T2^9 - 
     2790*T1^10*T2^9 + 831*T1^11*T2^9 + 815*T1^12*T2^9 - 891*T1^13*T2^9 - 
     325*T1^14*T2^9 - 24*T1^2*T2^10 + 513*T1^4*T2^10 + 410*T1^5*T2^10 - 
     1398*T1^6*T2^10 + 831*T1^7*T2^10 + 1852*T1^8*T2^10 - 2790*T1^9*T2^10 + 
     1852*T1^10*T2^10 + 831*T1^11*T2^10 - 1398*T1^12*T2^10 + 
     410*T1^13*T2^10 + 513*T1^14*T2^10 - 24*T1^16*T2^10 + 60*T1^3*T2^11 - 
     604*T1^5*T2^11 + 410*T1^6*T2^11 + 815*T1^7*T2^11 - 1810*T1^8*T2^11 + 
     831*T1^9*T2^11 + 831*T1^10*T2^11 - 1810*T1^11*T2^11 + 815*T1^12*T2^11 + 
     410*T1^13*T2^11 - 604*T1^14*T2^11 + 60*T1^16*T2^11 - 76*T1^4*T2^12 + 
     513*T1^6*T2^12 - 891*T1^7*T2^12 + 356*T1^8*T2^12 + 815*T1^9*T2^12 - 
     1398*T1^10*T2^12 + 815*T1^11*T2^12 + 356*T1^12*T2^12 - 891*T1^13*T2^12 + 
     513*T1^14*T2^12 - 76*T1^16*T2^12 + 60*T1^5*T2^13 - 325*T1^7*T2^13 + 
     794*T1^8*T2^13 - 891*T1^9*T2^13 + 410*T1^10*T2^13 + 410*T1^11*T2^13 - 
     891*T1^12*T2^13 + 794*T1^13*T2^13 - 325*T1^14*T2^13 + 60*T1^16*T2^13 - 
     24*T1^6*T2^14 + 116*T1^8*T2^14 - 325*T1^9*T2^14 + 513*T1^10*T2^14 - 
     604*T1^11*T2^14 + 513*T1^12*T2^14 - 325*T1^13*T2^14 + 116*T1^14*T2^14 - 
     24*T1^16*T2^14 + 4*T1^8*T2^16 - 24*T1^10*T2^16 + 60*T1^11*T2^16 - 
     76*T1^12*T2^16 + 60*T1^13*T2^16 - 24*T1^14*T2^16 + 4*T1^16*T2^16)/
    (T1^8*T2^8)}, 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, 
   -((2 - 8*T1 + 15*T1^2 - 18*T1^3 + 15*T1^4 - 8*T1^5 + 2*T1^6 - 8*T2 + 
      18*T1*T2 - 13*T1^2*T2 + 3*T1^3*T2 + 3*T1^4*T2 - 13*T1^5*T2 + 
      18*T1^6*T2 - 8*T1^7*T2 + 15*T2^2 - 13*T1*T2^2 - 27*T1^2*T2^2 + 
      33*T1^3*T2^2 - 21*T1^4*T2^2 + 33*T1^5*T2^2 - 27*T1^6*T2^2 - 
      13*T1^7*T2^2 + 15*T1^8*T2^2 - 18*T2^3 + 3*T1*T2^3 + 33*T1^2*T2^3 + 
      32*T1^3*T2^3 - 34*T1^4*T2^3 - 34*T1^5*T2^3 + 32*T1^6*T2^3 + 
      33*T1^7*T2^3 + 3*T1^8*T2^3 - 18*T1^9*T2^3 + 15*T2^4 + 3*T1*T2^4 - 
      21*T1^2*T2^4 - 34*T1^3*T2^4 - 153*T1^4*T2^4 + 281*T1^5*T2^4 - 
      153*T1^6*T2^4 - 34*T1^7*T2^4 - 21*T1^8*T2^4 + 3*T1^9*T2^4 + 
      15*T1^10*T2^4 - 8*T2^5 - 13*T1*T2^5 + 33*T1^2*T2^5 - 34*T1^3*T2^5 + 
      281*T1^4*T2^5 - 166*T1^5*T2^5 - 166*T1^6*T2^5 + 281*T1^7*T2^5 - 
      34*T1^8*T2^5 + 33*T1^9*T2^5 - 13*T1^10*T2^5 - 8*T1^11*T2^5 + 2*T2^6 + 
      18*T1*T2^6 - 27*T1^2*T2^6 + 32*T1^3*T2^6 - 153*T1^4*T2^6 - 
      166*T1^5*T2^6 + 360*T1^6*T2^6 - 166*T1^7*T2^6 - 153*T1^8*T2^6 + 
      32*T1^9*T2^6 - 27*T1^10*T2^6 + 18*T1^11*T2^6 + 2*T1^12*T2^6 - 
      8*T1*T2^7 - 13*T1^2*T2^7 + 33*T1^3*T2^7 - 34*T1^4*T2^7 + 
      281*T1^5*T2^7 - 166*T1^6*T2^7 - 166*T1^7*T2^7 + 281*T1^8*T2^7 - 
      34*T1^9*T2^7 + 33*T1^10*T2^7 - 13*T1^11*T2^7 - 8*T1^12*T2^7 + 
      15*T1^2*T2^8 + 3*T1^3*T2^8 - 21*T1^4*T2^8 - 34*T1^5*T2^8 - 
      153*T1^6*T2^8 + 281*T1^7*T2^8 - 153*T1^8*T2^8 - 34*T1^9*T2^8 - 
      21*T1^10*T2^8 + 3*T1^11*T2^8 + 15*T1^12*T2^8 - 18*T1^3*T2^9 + 
      3*T1^4*T2^9 + 33*T1^5*T2^9 + 32*T1^6*T2^9 - 34*T1^7*T2^9 - 
      34*T1^8*T2^9 + 32*T1^9*T2^9 + 33*T1^10*T2^9 + 3*T1^11*T2^9 - 
      18*T1^12*T2^9 + 15*T1^4*T2^10 - 13*T1^5*T2^10 - 27*T1^6*T2^10 + 
      33*T1^7*T2^10 - 21*T1^8*T2^10 + 33*T1^9*T2^10 - 27*T1^10*T2^10 - 
      13*T1^11*T2^10 + 15*T1^12*T2^10 - 8*T1^5*T2^11 + 18*T1^6*T2^11 - 
      13*T1^7*T2^11 + 3*T1^8*T2^11 + 3*T1^9*T2^11 - 13*T1^10*T2^11 + 
      18*T1^11*T2^11 - 8*T1^12*T2^11 + 2*T1^6*T2^12 - 8*T1^7*T2^12 + 
      15*T1^8*T2^12 - 18*T1^9*T2^12 + 15*T1^10*T2^12 - 8*T1^11*T2^12 + 
      2*T1^12*T2^12)/(T1^6*T2^6))}, 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), 
   -((3 - 12*T1 + 12*T1^2 + 3*T1^3 - 15*T1^4 + 3*T1^5 + 12*T1^6 - 12*T1^7 + 
      3*T1^8 - 12*T2 + 36*T1*T2 - 60*T1^3*T2 + 48*T1^4*T2 + 48*T1^5*T2 - 
      60*T1^6*T2 + 36*T1^8*T2 - 12*T1^9*T2 + 12*T2^2 - 128*T1^2*T2^2 + 
      148*T1^3*T2^2 + 44*T1^4*T2^2 - 222*T1^5*T2^2 + 44*T1^6*T2^2 + 
      148*T1^7*T2^2 - 128*T1^8*T2^2 + 12*T1^10*T2^2 + 3*T2^3 - 60*T1*T2^3 + 
      148*T1^2*T2^3 + 16*T1^3*T2^3 - 269*T1^4*T2^3 + 205*T1^5*T2^3 + 
      205*T1^6*T2^3 - 269*T1^7*T2^3 + 16*T1^8*T2^3 + 148*T1^9*T2^3 - 
      60*T1^10*T2^3 + 3*T1^11*T2^3 - 15*T2^4 + 48*T1*T2^4 + 44*T1^2*T2^4 - 
      269*T1^3*T2^4 + 267*T1^4*T2^4 + 123*T1^5*T2^4 - 399*T1^6*T2^4 + 
      123*T1^7*T2^4 + 267*T1^8*T2^4 - 269*T1^9*T2^4 + 44*T1^10*T2^4 + 
      48*T1^11*T2^4 - 15*T1^12*T2^4 + 3*T2^5 + 48*T1*T2^5 - 222*T1^2*T2^5 + 
      205*T1^3*T2^5 + 123*T1^4*T2^5 - 464*T1^5*T2^5 + 247*T1^6*T2^5 + 
      247*T1^7*T2^5 - 464*T1^8*T2^5 + 123*T1^9*T2^5 + 205*T1^10*T2^5 - 
      222*T1^11*T2^5 + 48*T1^12*T2^5 + 3*T1^13*T2^5 + 12*T2^6 - 60*T1*T2^6 + 
      44*T1^2*T2^6 + 205*T1^3*T2^6 - 399*T1^4*T2^6 + 247*T1^5*T2^6 + 
      236*T1^6*T2^6 - 446*T1^7*T2^6 + 236*T1^8*T2^6 + 247*T1^9*T2^6 - 
      399*T1^10*T2^6 + 205*T1^11*T2^6 + 44*T1^12*T2^6 - 60*T1^13*T2^6 + 
      12*T1^14*T2^6 - 12*T2^7 + 148*T1^2*T2^7 - 269*T1^3*T2^7 + 
      123*T1^4*T2^7 + 247*T1^5*T2^7 - 446*T1^6*T2^7 + 214*T1^7*T2^7 + 
      214*T1^8*T2^7 - 446*T1^9*T2^7 + 247*T1^10*T2^7 + 123*T1^11*T2^7 - 
      269*T1^12*T2^7 + 148*T1^13*T2^7 - 12*T1^15*T2^7 + 3*T2^8 + 36*T1*T2^8 - 
      128*T1^2*T2^8 + 16*T1^3*T2^8 + 267*T1^4*T2^8 - 464*T1^5*T2^8 + 
      236*T1^6*T2^8 + 214*T1^7*T2^8 - 456*T1^8*T2^8 + 214*T1^9*T2^8 + 
      236*T1^10*T2^8 - 464*T1^11*T2^8 + 267*T1^12*T2^8 + 16*T1^13*T2^8 - 
      128*T1^14*T2^8 + 36*T1^15*T2^8 + 3*T1^16*T2^8 - 12*T1*T2^9 + 
      148*T1^3*T2^9 - 269*T1^4*T2^9 + 123*T1^5*T2^9 + 247*T1^6*T2^9 - 
      446*T1^7*T2^9 + 214*T1^8*T2^9 + 214*T1^9*T2^9 - 446*T1^10*T2^9 + 
      247*T1^11*T2^9 + 123*T1^12*T2^9 - 269*T1^13*T2^9 + 148*T1^14*T2^9 - 
      12*T1^16*T2^9 + 12*T1^2*T2^10 - 60*T1^3*T2^10 + 44*T1^4*T2^10 + 
      205*T1^5*T2^10 - 399*T1^6*T2^10 + 247*T1^7*T2^10 + 236*T1^8*T2^10 - 
      446*T1^9*T2^10 + 236*T1^10*T2^10 + 247*T1^11*T2^10 - 399*T1^12*T2^10 + 
      205*T1^13*T2^10 + 44*T1^14*T2^10 - 60*T1^15*T2^10 + 12*T1^16*T2^10 + 
      3*T1^3*T2^11 + 48*T1^4*T2^11 - 222*T1^5*T2^11 + 205*T1^6*T2^11 + 
      123*T1^7*T2^11 - 464*T1^8*T2^11 + 247*T1^9*T2^11 + 247*T1^10*T2^11 - 
      464*T1^11*T2^11 + 123*T1^12*T2^11 + 205*T1^13*T2^11 - 222*T1^14*T2^11 + 
      48*T1^15*T2^11 + 3*T1^16*T2^11 - 15*T1^4*T2^12 + 48*T1^5*T2^12 + 
      44*T1^6*T2^12 - 269*T1^7*T2^12 + 267*T1^8*T2^12 + 123*T1^9*T2^12 - 
      399*T1^10*T2^12 + 123*T1^11*T2^12 + 267*T1^12*T2^12 - 269*T1^13*T2^12 + 
      44*T1^14*T2^12 + 48*T1^15*T2^12 - 15*T1^16*T2^12 + 3*T1^5*T2^13 - 
      60*T1^6*T2^13 + 148*T1^7*T2^13 + 16*T1^8*T2^13 - 269*T1^9*T2^13 + 
      205*T1^10*T2^13 + 205*T1^11*T2^13 - 269*T1^12*T2^13 + 16*T1^13*T2^13 + 
      148*T1^14*T2^13 - 60*T1^15*T2^13 + 3*T1^16*T2^13 + 12*T1^6*T2^14 - 
      128*T1^8*T2^14 + 148*T1^9*T2^14 + 44*T1^10*T2^14 - 222*T1^11*T2^14 + 
      44*T1^12*T2^14 + 148*T1^13*T2^14 - 128*T1^14*T2^14 + 12*T1^16*T2^14 - 
      12*T1^7*T2^15 + 36*T1^8*T2^15 - 60*T1^10*T2^15 + 48*T1^11*T2^15 + 
      48*T1^12*T2^15 - 60*T1^13*T2^15 + 36*T1^15*T2^15 - 12*T1^16*T2^15 + 
      3*T1^8*T2^16 - 12*T1^9*T2^16 + 12*T1^10*T2^16 + 3*T1^11*T2^16 - 
      15*T1^12*T2^16 + 3*T1^13*T2^16 + 12*T1^14*T2^16 - 12*T1^15*T2^16 + 
      3*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, NonAlternating, 94] -> 
  {-((2 - 9*T + 16*T^2 - 19*T^3 + 16*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((17 - 76*T1 + 134*T1^2 - 159*T1^3 + 134*T1^4 - 76*T1^5 + 17*T1^6 - 
      76*T2 + 264*T1*T2 - 260*T1^2*T2 + 112*T1^3*T2 + 112*T1^4*T2 - 
      260*T1^5*T2 + 264*T1^6*T2 - 76*T1^7*T2 + 134*T2^2 - 260*T1*T2^2 - 
      320*T1^2*T2^2 + 831*T1^3*T2^2 - 1076*T1^4*T2^2 + 831*T1^5*T2^2 - 
      320*T1^6*T2^2 - 260*T1^7*T2^2 + 134*T1^8*T2^2 - 159*T2^3 + 
      112*T1*T2^3 + 831*T1^2*T2^3 - 826*T1^3*T2^3 + 398*T1^4*T2^3 + 
      398*T1^5*T2^3 - 826*T1^6*T2^3 + 831*T1^7*T2^3 + 112*T1^8*T2^3 - 
      159*T1^9*T2^3 + 134*T2^4 + 112*T1*T2^4 - 1076*T1^2*T2^4 + 
      398*T1^3*T2^4 + 145*T1^4*T2^4 - 611*T1^5*T2^4 + 145*T1^6*T2^4 + 
      398*T1^7*T2^4 - 1076*T1^8*T2^4 + 112*T1^9*T2^4 + 134*T1^10*T2^4 - 
      76*T2^5 - 260*T1*T2^5 + 831*T1^2*T2^5 + 398*T1^3*T2^5 - 611*T1^4*T2^5 + 
      490*T1^5*T2^5 + 490*T1^6*T2^5 - 611*T1^7*T2^5 + 398*T1^8*T2^5 + 
      831*T1^9*T2^5 - 260*T1^10*T2^5 - 76*T1^11*T2^5 + 17*T2^6 + 
      264*T1*T2^6 - 320*T1^2*T2^6 - 826*T1^3*T2^6 + 145*T1^4*T2^6 + 
      490*T1^5*T2^6 - 1212*T1^6*T2^6 + 490*T1^7*T2^6 + 145*T1^8*T2^6 - 
      826*T1^9*T2^6 - 320*T1^10*T2^6 + 264*T1^11*T2^6 + 17*T1^12*T2^6 - 
      76*T1*T2^7 - 260*T1^2*T2^7 + 831*T1^3*T2^7 + 398*T1^4*T2^7 - 
      611*T1^5*T2^7 + 490*T1^6*T2^7 + 490*T1^7*T2^7 - 611*T1^8*T2^7 + 
      398*T1^9*T2^7 + 831*T1^10*T2^7 - 260*T1^11*T2^7 - 76*T1^12*T2^7 + 
      134*T1^2*T2^8 + 112*T1^3*T2^8 - 1076*T1^4*T2^8 + 398*T1^5*T2^8 + 
      145*T1^6*T2^8 - 611*T1^7*T2^8 + 145*T1^8*T2^8 + 398*T1^9*T2^8 - 
      1076*T1^10*T2^8 + 112*T1^11*T2^8 + 134*T1^12*T2^8 - 159*T1^3*T2^9 + 
      112*T1^4*T2^9 + 831*T1^5*T2^9 - 826*T1^6*T2^9 + 398*T1^7*T2^9 + 
      398*T1^8*T2^9 - 826*T1^9*T2^9 + 831*T1^10*T2^9 + 112*T1^11*T2^9 - 
      159*T1^12*T2^9 + 134*T1^4*T2^10 - 260*T1^5*T2^10 - 320*T1^6*T2^10 + 
      831*T1^7*T2^10 - 1076*T1^8*T2^10 + 831*T1^9*T2^10 - 320*T1^10*T2^10 - 
      260*T1^11*T2^10 + 134*T1^12*T2^10 - 76*T1^5*T2^11 + 264*T1^6*T2^11 - 
      260*T1^7*T2^11 + 112*T1^8*T2^11 + 112*T1^9*T2^11 - 260*T1^10*T2^11 + 
      264*T1^11*T2^11 - 76*T1^12*T2^11 + 17*T1^6*T2^12 - 76*T1^7*T2^12 + 
      134*T1^8*T2^12 - 159*T1^9*T2^12 + 134*T1^10*T2^12 - 76*T1^11*T2^12 + 
      17*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 95] -> 
  {(2 - 9*T + 22*T^2 - 29*T^3 + 22*T^4 - 9*T^5 + 2*T^6)/T^3, 
   -((9 - 40*T1 + 98*T1^2 - 129*T1^3 + 98*T1^4 - 40*T1^5 + 9*T1^6 - 40*T2 + 
      138*T1*T2 - 258*T1^2*T2 + 138*T1^3*T2 + 138*T1^4*T2 - 258*T1^5*T2 + 
      138*T1^6*T2 - 40*T1^7*T2 + 98*T2^2 - 258*T1*T2^2 + 361*T1^2*T2^2 + 
      141*T1^3*T2^2 - 483*T1^4*T2^2 + 141*T1^5*T2^2 + 361*T1^6*T2^2 - 
      258*T1^7*T2^2 + 98*T1^8*T2^2 - 129*T2^3 + 138*T1*T2^3 + 141*T1^2*T2^3 - 
      1172*T1^3*T2^3 + 729*T1^4*T2^3 + 729*T1^5*T2^3 - 1172*T1^6*T2^3 + 
      141*T1^7*T2^3 + 138*T1^8*T2^3 - 129*T1^9*T2^3 + 98*T2^4 + 138*T1*T2^4 - 
      483*T1^2*T2^4 + 729*T1^3*T2^4 + 1988*T1^4*T2^4 - 3732*T1^5*T2^4 + 
      1988*T1^6*T2^4 + 729*T1^7*T2^4 - 483*T1^8*T2^4 + 138*T1^9*T2^4 + 
      98*T1^10*T2^4 - 40*T2^5 - 258*T1*T2^5 + 141*T1^2*T2^5 + 729*T1^3*T2^5 - 
      3732*T1^4*T2^5 + 2240*T1^5*T2^5 + 2240*T1^6*T2^5 - 3732*T1^7*T2^5 + 
      729*T1^8*T2^5 + 141*T1^9*T2^5 - 258*T1^10*T2^5 - 40*T1^11*T2^5 + 
      9*T2^6 + 138*T1*T2^6 + 361*T1^2*T2^6 - 1172*T1^3*T2^6 + 
      1988*T1^4*T2^6 + 2240*T1^5*T2^6 - 5016*T1^6*T2^6 + 2240*T1^7*T2^6 + 
      1988*T1^8*T2^6 - 1172*T1^9*T2^6 + 361*T1^10*T2^6 + 138*T1^11*T2^6 + 
      9*T1^12*T2^6 - 40*T1*T2^7 - 258*T1^2*T2^7 + 141*T1^3*T2^7 + 
      729*T1^4*T2^7 - 3732*T1^5*T2^7 + 2240*T1^6*T2^7 + 2240*T1^7*T2^7 - 
      3732*T1^8*T2^7 + 729*T1^9*T2^7 + 141*T1^10*T2^7 - 258*T1^11*T2^7 - 
      40*T1^12*T2^7 + 98*T1^2*T2^8 + 138*T1^3*T2^8 - 483*T1^4*T2^8 + 
      729*T1^5*T2^8 + 1988*T1^6*T2^8 - 3732*T1^7*T2^8 + 1988*T1^8*T2^8 + 
      729*T1^9*T2^8 - 483*T1^10*T2^8 + 138*T1^11*T2^8 + 98*T1^12*T2^8 - 
      129*T1^3*T2^9 + 138*T1^4*T2^9 + 141*T1^5*T2^9 - 1172*T1^6*T2^9 + 
      729*T1^7*T2^9 + 729*T1^8*T2^9 - 1172*T1^9*T2^9 + 141*T1^10*T2^9 + 
      138*T1^11*T2^9 - 129*T1^12*T2^9 + 98*T1^4*T2^10 - 258*T1^5*T2^10 + 
      361*T1^6*T2^10 + 141*T1^7*T2^10 - 483*T1^8*T2^10 + 141*T1^9*T2^10 + 
      361*T1^10*T2^10 - 258*T1^11*T2^10 + 98*T1^12*T2^10 - 40*T1^5*T2^11 + 
      138*T1^6*T2^11 - 258*T1^7*T2^11 + 138*T1^8*T2^11 + 138*T1^9*T2^11 - 
      258*T1^10*T2^11 + 138*T1^11*T2^11 - 40*T1^12*T2^11 + 9*T1^6*T2^12 - 
      40*T1^7*T2^12 + 98*T1^8*T2^12 - 129*T1^9*T2^12 + 98*T1^10*T2^12 - 
      40*T1^11*T2^12 + 9*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 96] -> {((2 - 3*T + 2*T^2)*(1 - T^2 + T^4))/T^3, 
   (25 - 36*T1 - 4*T1^2 + 43*T1^3 - 4*T1^4 - 36*T1^5 + 25*T1^6 - 36*T2 + 
     18*T1*T2 + 54*T1^2*T2 - 54*T1^3*T2 - 54*T1^4*T2 + 54*T1^5*T2 + 
     18*T1^6*T2 - 36*T1^7*T2 - 4*T2^2 + 54*T1*T2^2 - 76*T1^2*T2^2 - 
     5*T1^3*T2^2 + 80*T1^4*T2^2 - 5*T1^5*T2^2 - 76*T1^6*T2^2 + 54*T1^7*T2^2 - 
     4*T1^8*T2^2 + 43*T2^3 - 54*T1*T2^3 - 5*T1^2*T2^3 + 88*T1^3*T2^3 - 
     46*T1^4*T2^3 - 46*T1^5*T2^3 + 88*T1^6*T2^3 - 5*T1^7*T2^3 - 
     54*T1^8*T2^3 + 43*T1^9*T2^3 - 4*T2^4 - 54*T1*T2^4 + 80*T1^2*T2^4 - 
     46*T1^3*T2^4 - 25*T1^4*T2^4 + 27*T1^5*T2^4 - 25*T1^6*T2^4 - 
     46*T1^7*T2^4 + 80*T1^8*T2^4 - 54*T1^9*T2^4 - 4*T1^10*T2^4 - 36*T2^5 + 
     54*T1*T2^5 - 5*T1^2*T2^5 - 46*T1^3*T2^5 + 27*T1^4*T2^5 - 2*T1^5*T2^5 - 
     2*T1^6*T2^5 + 27*T1^7*T2^5 - 46*T1^8*T2^5 - 5*T1^9*T2^5 + 
     54*T1^10*T2^5 - 36*T1^11*T2^5 + 25*T2^6 + 18*T1*T2^6 - 76*T1^2*T2^6 + 
     88*T1^3*T2^6 - 25*T1^4*T2^6 - 2*T1^5*T2^6 + 24*T1^6*T2^6 - 2*T1^7*T2^6 - 
     25*T1^8*T2^6 + 88*T1^9*T2^6 - 76*T1^10*T2^6 + 18*T1^11*T2^6 + 
     25*T1^12*T2^6 - 36*T1*T2^7 + 54*T1^2*T2^7 - 5*T1^3*T2^7 - 46*T1^4*T2^7 + 
     27*T1^5*T2^7 - 2*T1^6*T2^7 - 2*T1^7*T2^7 + 27*T1^8*T2^7 - 46*T1^9*T2^7 - 
     5*T1^10*T2^7 + 54*T1^11*T2^7 - 36*T1^12*T2^7 - 4*T1^2*T2^8 - 
     54*T1^3*T2^8 + 80*T1^4*T2^8 - 46*T1^5*T2^8 - 25*T1^6*T2^8 + 
     27*T1^7*T2^8 - 25*T1^8*T2^8 - 46*T1^9*T2^8 + 80*T1^10*T2^8 - 
     54*T1^11*T2^8 - 4*T1^12*T2^8 + 43*T1^3*T2^9 - 54*T1^4*T2^9 - 
     5*T1^5*T2^9 + 88*T1^6*T2^9 - 46*T1^7*T2^9 - 46*T1^8*T2^9 + 
     88*T1^9*T2^9 - 5*T1^10*T2^9 - 54*T1^11*T2^9 + 43*T1^12*T2^9 - 
     4*T1^4*T2^10 + 54*T1^5*T2^10 - 76*T1^6*T2^10 - 5*T1^7*T2^10 + 
     80*T1^8*T2^10 - 5*T1^9*T2^10 - 76*T1^10*T2^10 + 54*T1^11*T2^10 - 
     4*T1^12*T2^10 - 36*T1^5*T2^11 + 18*T1^6*T2^11 + 54*T1^7*T2^11 - 
     54*T1^8*T2^11 - 54*T1^9*T2^11 + 54*T1^10*T2^11 + 18*T1^11*T2^11 - 
     36*T1^12*T2^11 + 25*T1^6*T2^12 - 36*T1^7*T2^12 - 4*T1^8*T2^12 + 
     43*T1^9*T2^12 - 4*T1^10*T2^12 - 36*T1^11*T2^12 + 25*T1^12*T2^12)/
    (T1^6*T2^6)}, 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 + 21*T1^2 - 15*T1^3 + 3*T1^4 - 15*T2 + 68*T1*T2 - 36*T1^2*T2 - 
     36*T1^3*T2 + 68*T1^4*T2 - 15*T1^5*T2 + 21*T2^2 - 36*T1*T2^2 - 
     256*T1^2*T2^2 + 402*T1^3*T2^2 - 256*T1^4*T2^2 - 36*T1^5*T2^2 + 
     21*T1^6*T2^2 - 15*T2^3 - 36*T1*T2^3 + 402*T1^2*T2^3 - 204*T1^3*T2^3 - 
     204*T1^4*T2^3 + 402*T1^5*T2^3 - 36*T1^6*T2^3 - 15*T1^7*T2^3 + 3*T2^4 + 
     68*T1*T2^4 - 256*T1^2*T2^4 - 204*T1^3*T2^4 + 408*T1^4*T2^4 - 
     204*T1^5*T2^4 - 256*T1^6*T2^4 + 68*T1^7*T2^4 + 3*T1^8*T2^4 - 
     15*T1*T2^5 - 36*T1^2*T2^5 + 402*T1^3*T2^5 - 204*T1^4*T2^5 - 
     204*T1^5*T2^5 + 402*T1^6*T2^5 - 36*T1^7*T2^5 - 15*T1^8*T2^5 + 
     21*T1^2*T2^6 - 36*T1^3*T2^6 - 256*T1^4*T2^6 + 402*T1^5*T2^6 - 
     256*T1^6*T2^6 - 36*T1^7*T2^6 + 21*T1^8*T2^6 - 15*T1^3*T2^7 + 
     68*T1^4*T2^7 - 36*T1^5*T2^7 - 36*T1^6*T2^7 + 68*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)/(T1^4*T2^4)}, 
 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, 
   (2 - 12*T1 + 28*T1^2 - 34*T1^3 + 34*T1^4 - 34*T1^5 + 28*T1^6 - 12*T1^7 + 
     2*T1^8 - 12*T2 + 60*T1*T2 - 96*T1^2*T2 + 36*T1^3*T2 + 36*T1^6*T2 - 
     96*T1^7*T2 + 60*T1^8*T2 - 12*T1^9*T2 + 28*T2^2 - 96*T1*T2^2 - 
     13*T1^2*T2^2 + 368*T1^3*T2^2 - 364*T1^4*T2^2 + 281*T1^5*T2^2 - 
     364*T1^6*T2^2 + 368*T1^7*T2^2 - 13*T1^8*T2^2 - 96*T1^9*T2^2 + 
     28*T1^10*T2^2 - 34*T2^3 + 36*T1*T2^3 + 368*T1^2*T2^3 - 810*T1^3*T2^3 + 
     149*T1^4*T2^3 + 98*T1^5*T2^3 + 98*T1^6*T2^3 + 149*T1^7*T2^3 - 
     810*T1^8*T2^3 + 368*T1^9*T2^3 + 36*T1^10*T2^3 - 34*T1^11*T2^3 + 
     34*T2^4 - 364*T1^2*T2^4 + 149*T1^3*T2^4 + 1378*T1^4*T2^4 - 
     1189*T1^5*T2^4 + 746*T1^6*T2^4 - 1189*T1^7*T2^4 + 1378*T1^8*T2^4 + 
     149*T1^9*T2^4 - 364*T1^10*T2^4 + 34*T1^12*T2^4 - 34*T2^5 + 
     281*T1^2*T2^5 + 98*T1^3*T2^5 - 1189*T1^4*T2^5 + 16*T1^5*T2^5 + 
     281*T1^6*T2^5 + 281*T1^7*T2^5 + 16*T1^8*T2^5 - 1189*T1^9*T2^5 + 
     98*T1^10*T2^5 + 281*T1^11*T2^5 - 34*T1^13*T2^5 + 28*T2^6 + 36*T1*T2^6 - 
     364*T1^2*T2^6 + 98*T1^3*T2^6 + 746*T1^4*T2^6 + 281*T1^5*T2^6 + 
     48*T1^6*T2^6 - 448*T1^7*T2^6 + 48*T1^8*T2^6 + 281*T1^9*T2^6 + 
     746*T1^10*T2^6 + 98*T1^11*T2^6 - 364*T1^12*T2^6 + 36*T1^13*T2^6 + 
     28*T1^14*T2^6 - 12*T2^7 - 96*T1*T2^7 + 368*T1^2*T2^7 + 149*T1^3*T2^7 - 
     1189*T1^4*T2^7 + 281*T1^5*T2^7 - 448*T1^6*T2^7 + 242*T1^7*T2^7 + 
     242*T1^8*T2^7 - 448*T1^9*T2^7 + 281*T1^10*T2^7 - 1189*T1^11*T2^7 + 
     149*T1^12*T2^7 + 368*T1^13*T2^7 - 96*T1^14*T2^7 - 12*T1^15*T2^7 + 
     2*T2^8 + 60*T1*T2^8 - 13*T1^2*T2^8 - 810*T1^3*T2^8 + 1378*T1^4*T2^8 + 
     16*T1^5*T2^8 + 48*T1^6*T2^8 + 242*T1^7*T2^8 - 396*T1^8*T2^8 + 
     242*T1^9*T2^8 + 48*T1^10*T2^8 + 16*T1^11*T2^8 + 1378*T1^12*T2^8 - 
     810*T1^13*T2^8 - 13*T1^14*T2^8 + 60*T1^15*T2^8 + 2*T1^16*T2^8 - 
     12*T1*T2^9 - 96*T1^2*T2^9 + 368*T1^3*T2^9 + 149*T1^4*T2^9 - 
     1189*T1^5*T2^9 + 281*T1^6*T2^9 - 448*T1^7*T2^9 + 242*T1^8*T2^9 + 
     242*T1^9*T2^9 - 448*T1^10*T2^9 + 281*T1^11*T2^9 - 1189*T1^12*T2^9 + 
     149*T1^13*T2^9 + 368*T1^14*T2^9 - 96*T1^15*T2^9 - 12*T1^16*T2^9 + 
     28*T1^2*T2^10 + 36*T1^3*T2^10 - 364*T1^4*T2^10 + 98*T1^5*T2^10 + 
     746*T1^6*T2^10 + 281*T1^7*T2^10 + 48*T1^8*T2^10 - 448*T1^9*T2^10 + 
     48*T1^10*T2^10 + 281*T1^11*T2^10 + 746*T1^12*T2^10 + 98*T1^13*T2^10 - 
     364*T1^14*T2^10 + 36*T1^15*T2^10 + 28*T1^16*T2^10 - 34*T1^3*T2^11 + 
     281*T1^5*T2^11 + 98*T1^6*T2^11 - 1189*T1^7*T2^11 + 16*T1^8*T2^11 + 
     281*T1^9*T2^11 + 281*T1^10*T2^11 + 16*T1^11*T2^11 - 1189*T1^12*T2^11 + 
     98*T1^13*T2^11 + 281*T1^14*T2^11 - 34*T1^16*T2^11 + 34*T1^4*T2^12 - 
     364*T1^6*T2^12 + 149*T1^7*T2^12 + 1378*T1^8*T2^12 - 1189*T1^9*T2^12 + 
     746*T1^10*T2^12 - 1189*T1^11*T2^12 + 1378*T1^12*T2^12 + 
     149*T1^13*T2^12 - 364*T1^14*T2^12 + 34*T1^16*T2^12 - 34*T1^5*T2^13 + 
     36*T1^6*T2^13 + 368*T1^7*T2^13 - 810*T1^8*T2^13 + 149*T1^9*T2^13 + 
     98*T1^10*T2^13 + 98*T1^11*T2^13 + 149*T1^12*T2^13 - 810*T1^13*T2^13 + 
     368*T1^14*T2^13 + 36*T1^15*T2^13 - 34*T1^16*T2^13 + 28*T1^6*T2^14 - 
     96*T1^7*T2^14 - 13*T1^8*T2^14 + 368*T1^9*T2^14 - 364*T1^10*T2^14 + 
     281*T1^11*T2^14 - 364*T1^12*T2^14 + 368*T1^13*T2^14 - 13*T1^14*T2^14 - 
     96*T1^15*T2^14 + 28*T1^16*T2^14 - 12*T1^7*T2^15 + 60*T1^8*T2^15 - 
     96*T1^9*T2^15 + 36*T1^10*T2^15 + 36*T1^13*T2^15 - 96*T1^14*T2^15 + 
     60*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)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 99] -> 
  {(2 - 12*T + 32*T^2 - 43*T^3 + 32*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (9 - 54*T1 + 143*T1^2 - 191*T1^3 + 143*T1^4 - 54*T1^5 + 9*T1^6 - 54*T2 + 
     272*T1*T2 - 547*T1^2*T2 + 297*T1^3*T2 + 297*T1^4*T2 - 547*T1^5*T2 + 
     272*T1^6*T2 - 54*T1^7*T2 + 143*T2^2 - 547*T1*T2^2 + 558*T1^2*T2^2 + 
     1152*T1^3*T2^2 - 2244*T1^4*T2^2 + 1152*T1^5*T2^2 + 558*T1^6*T2^2 - 
     547*T1^7*T2^2 + 143*T1^8*T2^2 - 191*T2^3 + 297*T1*T2^3 + 
     1152*T1^2*T2^3 - 4606*T1^3*T2^3 + 2722*T1^4*T2^3 + 2722*T1^5*T2^3 - 
     4606*T1^6*T2^3 + 1152*T1^7*T2^3 + 297*T1^8*T2^3 - 191*T1^9*T2^3 + 
     143*T2^4 + 297*T1*T2^4 - 2244*T1^2*T2^4 + 2722*T1^3*T2^4 + 
     7402*T1^4*T2^4 - 13804*T1^5*T2^4 + 7402*T1^6*T2^4 + 2722*T1^7*T2^4 - 
     2244*T1^8*T2^4 + 297*T1^9*T2^4 + 143*T1^10*T2^4 - 54*T2^5 - 
     547*T1*T2^5 + 1152*T1^2*T2^5 + 2722*T1^3*T2^5 - 13804*T1^4*T2^5 + 
     8264*T1^5*T2^5 + 8264*T1^6*T2^5 - 13804*T1^7*T2^5 + 2722*T1^8*T2^5 + 
     1152*T1^9*T2^5 - 547*T1^10*T2^5 - 54*T1^11*T2^5 + 9*T2^6 + 272*T1*T2^6 + 
     558*T1^2*T2^6 - 4606*T1^3*T2^6 + 7402*T1^4*T2^6 + 8264*T1^5*T2^6 - 
     18516*T1^6*T2^6 + 8264*T1^7*T2^6 + 7402*T1^8*T2^6 - 4606*T1^9*T2^6 + 
     558*T1^10*T2^6 + 272*T1^11*T2^6 + 9*T1^12*T2^6 - 54*T1*T2^7 - 
     547*T1^2*T2^7 + 1152*T1^3*T2^7 + 2722*T1^4*T2^7 - 13804*T1^5*T2^7 + 
     8264*T1^6*T2^7 + 8264*T1^7*T2^7 - 13804*T1^8*T2^7 + 2722*T1^9*T2^7 + 
     1152*T1^10*T2^7 - 547*T1^11*T2^7 - 54*T1^12*T2^7 + 143*T1^2*T2^8 + 
     297*T1^3*T2^8 - 2244*T1^4*T2^8 + 2722*T1^5*T2^8 + 7402*T1^6*T2^8 - 
     13804*T1^7*T2^8 + 7402*T1^8*T2^8 + 2722*T1^9*T2^8 - 2244*T1^10*T2^8 + 
     297*T1^11*T2^8 + 143*T1^12*T2^8 - 191*T1^3*T2^9 + 297*T1^4*T2^9 + 
     1152*T1^5*T2^9 - 4606*T1^6*T2^9 + 2722*T1^7*T2^9 + 2722*T1^8*T2^9 - 
     4606*T1^9*T2^9 + 1152*T1^10*T2^9 + 297*T1^11*T2^9 - 191*T1^12*T2^9 + 
     143*T1^4*T2^10 - 547*T1^5*T2^10 + 558*T1^6*T2^10 + 1152*T1^7*T2^10 - 
     2244*T1^8*T2^10 + 1152*T1^9*T2^10 + 558*T1^10*T2^10 - 547*T1^11*T2^10 + 
     143*T1^12*T2^10 - 54*T1^5*T2^11 + 272*T1^6*T2^11 - 547*T1^7*T2^11 + 
     297*T1^8*T2^11 + 297*T1^9*T2^11 - 547*T1^10*T2^11 + 272*T1^11*T2^11 - 
     54*T1^12*T2^11 + 9*T1^6*T2^12 - 54*T1^7*T2^12 + 143*T1^8*T2^12 - 
     191*T1^9*T2^12 + 143*T1^10*T2^12 - 54*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 100] -> 
  {(5 - 15*T + 23*T^2 - 25*T^3 + 23*T^4 - 15*T^5 + 5*T^6)/T^3, 
   (395 - 1155*T1 + 1734*T1^2 - 1861*T1^3 + 1734*T1^4 - 1155*T1^5 + 
     395*T1^6 - 1155*T2 + 2252*T1*T2 - 1753*T1^2*T2 + 407*T1^3*T2 + 
     407*T1^4*T2 - 1753*T1^5*T2 + 2252*T1^6*T2 - 1155*T1^7*T2 + 1734*T2^2 - 
     1753*T1*T2^2 - 629*T1^2*T2^2 + 2077*T1^3*T2^2 - 1433*T1^4*T2^2 + 
     2077*T1^5*T2^2 - 629*T1^6*T2^2 - 1753*T1^7*T2^2 + 1734*T1^8*T2^2 - 
     1861*T2^3 + 407*T1*T2^3 + 2077*T1^2*T2^3 - 1450*T1^3*T2^3 - 
     555*T1^4*T2^3 - 555*T1^5*T2^3 - 1450*T1^6*T2^3 + 2077*T1^7*T2^3 + 
     407*T1^8*T2^3 - 1861*T1^9*T2^3 + 1734*T2^4 + 407*T1*T2^4 - 
     1433*T1^2*T2^4 - 555*T1^3*T2^4 + 1642*T1^4*T2^4 + 580*T1^5*T2^4 + 
     1642*T1^6*T2^4 - 555*T1^7*T2^4 - 1433*T1^8*T2^4 + 407*T1^9*T2^4 + 
     1734*T1^10*T2^4 - 1155*T2^5 - 1753*T1*T2^5 + 2077*T1^2*T2^5 - 
     555*T1^3*T2^5 + 580*T1^4*T2^5 - 1818*T1^5*T2^5 - 1818*T1^6*T2^5 + 
     580*T1^7*T2^5 - 555*T1^8*T2^5 + 2077*T1^9*T2^5 - 1753*T1^10*T2^5 - 
     1155*T1^11*T2^5 + 395*T2^6 + 2252*T1*T2^6 - 629*T1^2*T2^6 - 
     1450*T1^3*T2^6 + 1642*T1^4*T2^6 - 1818*T1^5*T2^6 + 4872*T1^6*T2^6 - 
     1818*T1^7*T2^6 + 1642*T1^8*T2^6 - 1450*T1^9*T2^6 - 629*T1^10*T2^6 + 
     2252*T1^11*T2^6 + 395*T1^12*T2^6 - 1155*T1*T2^7 - 1753*T1^2*T2^7 + 
     2077*T1^3*T2^7 - 555*T1^4*T2^7 + 580*T1^5*T2^7 - 1818*T1^6*T2^7 - 
     1818*T1^7*T2^7 + 580*T1^8*T2^7 - 555*T1^9*T2^7 + 2077*T1^10*T2^7 - 
     1753*T1^11*T2^7 - 1155*T1^12*T2^7 + 1734*T1^2*T2^8 + 407*T1^3*T2^8 - 
     1433*T1^4*T2^8 - 555*T1^5*T2^8 + 1642*T1^6*T2^8 + 580*T1^7*T2^8 + 
     1642*T1^8*T2^8 - 555*T1^9*T2^8 - 1433*T1^10*T2^8 + 407*T1^11*T2^8 + 
     1734*T1^12*T2^8 - 1861*T1^3*T2^9 + 407*T1^4*T2^9 + 2077*T1^5*T2^9 - 
     1450*T1^6*T2^9 - 555*T1^7*T2^9 - 555*T1^8*T2^9 - 1450*T1^9*T2^9 + 
     2077*T1^10*T2^9 + 407*T1^11*T2^9 - 1861*T1^12*T2^9 + 1734*T1^4*T2^10 - 
     1753*T1^5*T2^10 - 629*T1^6*T2^10 + 2077*T1^7*T2^10 - 1433*T1^8*T2^10 + 
     2077*T1^9*T2^10 - 629*T1^10*T2^10 - 1753*T1^11*T2^10 + 
     1734*T1^12*T2^10 - 1155*T1^5*T2^11 + 2252*T1^6*T2^11 - 1753*T1^7*T2^11 + 
     407*T1^8*T2^11 + 407*T1^9*T2^11 - 1753*T1^10*T2^11 + 2252*T1^11*T2^11 - 
     1155*T1^12*T2^11 + 395*T1^6*T2^12 - 1155*T1^7*T2^12 + 1734*T1^8*T2^12 - 
     1861*T1^9*T2^12 + 1734*T1^10*T2^12 - 1155*T1^11*T2^12 + 395*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 101] -> 
  {-((1 - 12*T + 34*T^2 - 47*T^3 + 34*T^4 - 12*T^5 + T^6)/T^3), 
   -((2 - 5*T1 + 3*T1^2 + 3*T1^3 - 5*T1^4 + 2*T1^5 - 5*T2 - 4*T1*T2 + 
      35*T1^2*T2 - 46*T1^3*T2 + 35*T1^4*T2 - 4*T1^5*T2 - 5*T1^6*T2 + 3*T2^2 + 
      35*T1*T2^2 - 88*T1^2*T2^2 + 25*T1^3*T2^2 + 25*T1^4*T2^2 - 
      88*T1^5*T2^2 + 35*T1^6*T2^2 + 3*T1^7*T2^2 + 3*T2^3 - 46*T1*T2^3 + 
      25*T1^2*T2^3 + 325*T1^3*T2^3 - 419*T1^4*T2^3 + 325*T1^5*T2^3 + 
      25*T1^6*T2^3 - 46*T1^7*T2^3 + 3*T1^8*T2^3 - 5*T2^4 + 35*T1*T2^4 + 
      25*T1^2*T2^4 - 419*T1^3*T2^4 + 154*T1^4*T2^4 + 154*T1^5*T2^4 - 
      419*T1^6*T2^4 + 25*T1^7*T2^4 + 35*T1^8*T2^4 - 5*T1^9*T2^4 + 2*T2^5 - 
      4*T1*T2^5 - 88*T1^2*T2^5 + 325*T1^3*T2^5 + 154*T1^4*T2^5 - 
      240*T1^5*T2^5 + 154*T1^6*T2^5 + 325*T1^7*T2^5 - 88*T1^8*T2^5 - 
      4*T1^9*T2^5 + 2*T1^10*T2^5 - 5*T1*T2^6 + 35*T1^2*T2^6 + 25*T1^3*T2^6 - 
      419*T1^4*T2^6 + 154*T1^5*T2^6 + 154*T1^6*T2^6 - 419*T1^7*T2^6 + 
      25*T1^8*T2^6 + 35*T1^9*T2^6 - 5*T1^10*T2^6 + 3*T1^2*T2^7 - 
      46*T1^3*T2^7 + 25*T1^4*T2^7 + 325*T1^5*T2^7 - 419*T1^6*T2^7 + 
      325*T1^7*T2^7 + 25*T1^8*T2^7 - 46*T1^9*T2^7 + 3*T1^10*T2^7 + 
      3*T1^3*T2^8 + 35*T1^4*T2^8 - 88*T1^5*T2^8 + 25*T1^6*T2^8 + 
      25*T1^7*T2^8 - 88*T1^8*T2^8 + 35*T1^9*T2^8 + 3*T1^10*T2^8 - 
      5*T1^4*T2^9 - 4*T1^5*T2^9 + 35*T1^6*T2^9 - 46*T1^7*T2^9 + 
      35*T1^8*T2^9 - 4*T1^9*T2^9 - 5*T1^10*T2^9 + 2*T1^5*T2^10 - 
      5*T1^6*T2^10 + 3*T1^7*T2^10 + 3*T1^8*T2^10 - 5*T1^9*T2^10 + 
      2*T1^10*T2^10)/(T1^5*T2^5))}, Knot[12, NonAlternating, 102] -> 
  {-((1 - 4*T + 4*T^2 - 3*T^3 + 4*T^4 - 4*T^5 + T^6)/T^3), 
   -((2 - 8*T1 + 8*T1^2 - 6*T1^3 + 8*T1^4 - 8*T1^5 + 2*T1^6 - 8*T2 + 
      24*T1*T2 + T1^2*T2 - 9*T1^3*T2 - 9*T1^4*T2 + T1^5*T2 + 24*T1^6*T2 - 
      8*T1^7*T2 + 8*T2^2 + T1*T2^2 - 84*T1^2*T2^2 + 58*T1^3*T2^2 - 
      8*T1^4*T2^2 + 58*T1^5*T2^2 - 84*T1^6*T2^2 + T1^7*T2^2 + 8*T1^8*T2^2 - 
      6*T2^3 - 9*T1*T2^3 + 58*T1^2*T2^3 + 30*T1^3*T2^3 - 49*T1^4*T2^3 - 
      49*T1^5*T2^3 + 30*T1^6*T2^3 + 58*T1^7*T2^3 - 9*T1^8*T2^3 - 
      6*T1^9*T2^3 + 8*T2^4 - 9*T1*T2^4 - 8*T1^2*T2^4 - 49*T1^3*T2^4 + 
      62*T1^4*T2^4 - 30*T1^5*T2^4 + 62*T1^6*T2^4 - 49*T1^7*T2^4 - 
      8*T1^8*T2^4 - 9*T1^9*T2^4 + 8*T1^10*T2^4 - 8*T2^5 + T1*T2^5 + 
      58*T1^2*T2^5 - 49*T1^3*T2^5 - 30*T1^4*T2^5 + 24*T1^5*T2^5 + 
      24*T1^6*T2^5 - 30*T1^7*T2^5 - 49*T1^8*T2^5 + 58*T1^9*T2^5 + 
      T1^10*T2^5 - 8*T1^11*T2^5 + 2*T2^6 + 24*T1*T2^6 - 84*T1^2*T2^6 + 
      30*T1^3*T2^6 + 62*T1^4*T2^6 + 24*T1^5*T2^6 - 96*T1^6*T2^6 + 
      24*T1^7*T2^6 + 62*T1^8*T2^6 + 30*T1^9*T2^6 - 84*T1^10*T2^6 + 
      24*T1^11*T2^6 + 2*T1^12*T2^6 - 8*T1*T2^7 + T1^2*T2^7 + 58*T1^3*T2^7 - 
      49*T1^4*T2^7 - 30*T1^5*T2^7 + 24*T1^6*T2^7 + 24*T1^7*T2^7 - 
      30*T1^8*T2^7 - 49*T1^9*T2^7 + 58*T1^10*T2^7 + T1^11*T2^7 - 
      8*T1^12*T2^7 + 8*T1^2*T2^8 - 9*T1^3*T2^8 - 8*T1^4*T2^8 - 49*T1^5*T2^8 + 
      62*T1^6*T2^8 - 30*T1^7*T2^8 + 62*T1^8*T2^8 - 49*T1^9*T2^8 - 
      8*T1^10*T2^8 - 9*T1^11*T2^8 + 8*T1^12*T2^8 - 6*T1^3*T2^9 - 
      9*T1^4*T2^9 + 58*T1^5*T2^9 + 30*T1^6*T2^9 - 49*T1^7*T2^9 - 
      49*T1^8*T2^9 + 30*T1^9*T2^9 + 58*T1^10*T2^9 - 9*T1^11*T2^9 - 
      6*T1^12*T2^9 + 8*T1^4*T2^10 + T1^5*T2^10 - 84*T1^6*T2^10 + 
      58*T1^7*T2^10 - 8*T1^8*T2^10 + 58*T1^9*T2^10 - 84*T1^10*T2^10 + 
      T1^11*T2^10 + 8*T1^12*T2^10 - 8*T1^5*T2^11 + 24*T1^6*T2^11 + 
      T1^7*T2^11 - 9*T1^8*T2^11 - 9*T1^9*T2^11 + T1^10*T2^11 + 
      24*T1^11*T2^11 - 8*T1^12*T2^11 + 2*T1^6*T2^12 - 8*T1^7*T2^12 + 
      8*T1^8*T2^12 - 6*T1^9*T2^12 + 8*T1^10*T2^12 - 8*T1^11*T2^12 + 
      2*T1^12*T2^12)/(T1^6*T2^6))}, 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), 
   -((3 - 12*T1 + 18*T1^2 - 24*T1^3 + 27*T1^4 - 24*T1^5 + 18*T1^6 - 12*T1^7 + 
      3*T1^8 - 12*T2 + 36*T1*T2 - 24*T1^2*T2 + 24*T1^3*T2 - 12*T1^4*T2 - 
      12*T1^5*T2 + 24*T1^6*T2 - 24*T1^7*T2 + 36*T1^8*T2 - 12*T1^9*T2 + 
      18*T2^2 - 24*T1*T2^2 - 64*T1^2*T2^2 + 72*T1^3*T2^2 - 113*T1^4*T2^2 + 
      142*T1^5*T2^2 - 113*T1^6*T2^2 + 72*T1^7*T2^2 - 64*T1^8*T2^2 - 
      24*T1^9*T2^2 + 18*T1^10*T2^2 - 24*T2^3 + 24*T1*T2^3 + 72*T1^2*T2^3 + 
      6*T1^3*T2^3 + 31*T1^4*T2^3 - 25*T1^5*T2^3 - 25*T1^6*T2^3 + 
      31*T1^7*T2^3 + 6*T1^8*T2^3 + 72*T1^9*T2^3 + 24*T1^10*T2^3 - 
      24*T1^11*T2^3 + 27*T2^4 - 12*T1*T2^4 - 113*T1^2*T2^4 + 31*T1^3*T2^4 - 
      160*T1^4*T2^4 + 162*T1^5*T2^4 - 148*T1^6*T2^4 + 162*T1^7*T2^4 - 
      160*T1^8*T2^4 + 31*T1^9*T2^4 - 113*T1^10*T2^4 - 12*T1^11*T2^4 + 
      27*T1^12*T2^4 - 24*T2^5 - 12*T1*T2^5 + 142*T1^2*T2^5 - 25*T1^3*T2^5 + 
      162*T1^4*T2^5 - 66*T1^5*T2^5 + 19*T1^6*T2^5 + 19*T1^7*T2^5 - 
      66*T1^8*T2^5 + 162*T1^9*T2^5 - 25*T1^10*T2^5 + 142*T1^11*T2^5 - 
      12*T1^12*T2^5 - 24*T1^13*T2^5 + 18*T2^6 + 24*T1*T2^6 - 113*T1^2*T2^6 - 
      25*T1^3*T2^6 - 148*T1^4*T2^6 + 19*T1^5*T2^6 - 42*T1^6*T2^6 + 
      48*T1^7*T2^6 - 42*T1^8*T2^6 + 19*T1^9*T2^6 - 148*T1^10*T2^6 - 
      25*T1^11*T2^6 - 113*T1^12*T2^6 + 24*T1^13*T2^6 + 18*T1^14*T2^6 - 
      12*T2^7 - 24*T1*T2^7 + 72*T1^2*T2^7 + 31*T1^3*T2^7 + 162*T1^4*T2^7 + 
      19*T1^5*T2^7 + 48*T1^6*T2^7 - 24*T1^7*T2^7 - 24*T1^8*T2^7 + 
      48*T1^9*T2^7 + 19*T1^10*T2^7 + 162*T1^11*T2^7 + 31*T1^12*T2^7 + 
      72*T1^13*T2^7 - 24*T1^14*T2^7 - 12*T1^15*T2^7 + 3*T2^8 + 36*T1*T2^8 - 
      64*T1^2*T2^8 + 6*T1^3*T2^8 - 160*T1^4*T2^8 - 66*T1^5*T2^8 - 
      42*T1^6*T2^8 - 24*T1^7*T2^8 + 60*T1^8*T2^8 - 24*T1^9*T2^8 - 
      42*T1^10*T2^8 - 66*T1^11*T2^8 - 160*T1^12*T2^8 + 6*T1^13*T2^8 - 
      64*T1^14*T2^8 + 36*T1^15*T2^8 + 3*T1^16*T2^8 - 12*T1*T2^9 - 
      24*T1^2*T2^9 + 72*T1^3*T2^9 + 31*T1^4*T2^9 + 162*T1^5*T2^9 + 
      19*T1^6*T2^9 + 48*T1^7*T2^9 - 24*T1^8*T2^9 - 24*T1^9*T2^9 + 
      48*T1^10*T2^9 + 19*T1^11*T2^9 + 162*T1^12*T2^9 + 31*T1^13*T2^9 + 
      72*T1^14*T2^9 - 24*T1^15*T2^9 - 12*T1^16*T2^9 + 18*T1^2*T2^10 + 
      24*T1^3*T2^10 - 113*T1^4*T2^10 - 25*T1^5*T2^10 - 148*T1^6*T2^10 + 
      19*T1^7*T2^10 - 42*T1^8*T2^10 + 48*T1^9*T2^10 - 42*T1^10*T2^10 + 
      19*T1^11*T2^10 - 148*T1^12*T2^10 - 25*T1^13*T2^10 - 113*T1^14*T2^10 + 
      24*T1^15*T2^10 + 18*T1^16*T2^10 - 24*T1^3*T2^11 - 12*T1^4*T2^11 + 
      142*T1^5*T2^11 - 25*T1^6*T2^11 + 162*T1^7*T2^11 - 66*T1^8*T2^11 + 
      19*T1^9*T2^11 + 19*T1^10*T2^11 - 66*T1^11*T2^11 + 162*T1^12*T2^11 - 
      25*T1^13*T2^11 + 142*T1^14*T2^11 - 12*T1^15*T2^11 - 24*T1^16*T2^11 + 
      27*T1^4*T2^12 - 12*T1^5*T2^12 - 113*T1^6*T2^12 + 31*T1^7*T2^12 - 
      160*T1^8*T2^12 + 162*T1^9*T2^12 - 148*T1^10*T2^12 + 162*T1^11*T2^12 - 
      160*T1^12*T2^12 + 31*T1^13*T2^12 - 113*T1^14*T2^12 - 12*T1^15*T2^12 + 
      27*T1^16*T2^12 - 24*T1^5*T2^13 + 24*T1^6*T2^13 + 72*T1^7*T2^13 + 
      6*T1^8*T2^13 + 31*T1^9*T2^13 - 25*T1^10*T2^13 - 25*T1^11*T2^13 + 
      31*T1^12*T2^13 + 6*T1^13*T2^13 + 72*T1^14*T2^13 + 24*T1^15*T2^13 - 
      24*T1^16*T2^13 + 18*T1^6*T2^14 - 24*T1^7*T2^14 - 64*T1^8*T2^14 + 
      72*T1^9*T2^14 - 113*T1^10*T2^14 + 142*T1^11*T2^14 - 113*T1^12*T2^14 + 
      72*T1^13*T2^14 - 64*T1^14*T2^14 - 24*T1^15*T2^14 + 18*T1^16*T2^14 - 
      12*T1^7*T2^15 + 36*T1^8*T2^15 - 24*T1^9*T2^15 + 24*T1^10*T2^15 - 
      12*T1^11*T2^15 - 12*T1^12*T2^15 + 24*T1^13*T2^15 - 24*T1^14*T2^15 + 
      36*T1^15*T2^15 - 12*T1^16*T2^15 + 3*T1^8*T2^16 - 12*T1^9*T2^16 + 
      18*T1^10*T2^16 - 24*T1^11*T2^16 + 27*T1^12*T2^16 - 24*T1^13*T2^16 + 
      18*T1^14*T2^16 - 12*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 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 + 24*T1*T2 - 48*T1^2*T2 + 32*T1^3*T2 - 8*T1^4*T2 - 
      8*T1^5*T2 + 32*T1^6*T2 - 48*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 
      20*T2^2 - 48*T1*T2^2 + 88*T1^2*T2^2 - 26*T1^3*T2^2 + 25*T1^4*T2^2 - 
      48*T1^5*T2^2 + 25*T1^6*T2^2 - 26*T1^7*T2^2 + 88*T1^8*T2^2 - 
      48*T1^9*T2^2 + 20*T1^10*T2^2 - 28*T2^3 + 32*T1*T2^3 - 26*T1^2*T2^3 - 
      144*T1^3*T2^3 + 52*T1^4*T2^3 + 15*T1^5*T2^3 + 15*T1^6*T2^3 + 
      52*T1^7*T2^3 - 144*T1^8*T2^3 - 26*T1^9*T2^3 + 32*T1^10*T2^3 - 
      28*T1^11*T2^3 + 30*T2^4 - 8*T1*T2^4 + 25*T1^2*T2^4 + 52*T1^3*T2^4 + 
      384*T1^4*T2^4 - 488*T1^5*T2^4 + 422*T1^6*T2^4 - 488*T1^7*T2^4 + 
      384*T1^8*T2^4 + 52*T1^9*T2^4 + 25*T1^10*T2^4 - 8*T1^11*T2^4 + 
      30*T1^12*T2^4 - 28*T2^5 - 8*T1*T2^5 - 48*T1^2*T2^5 + 15*T1^3*T2^5 - 
      488*T1^4*T2^5 + 216*T1^5*T2^5 + 8*T1^6*T2^5 + 8*T1^7*T2^5 + 
      216*T1^8*T2^5 - 488*T1^9*T2^5 + 15*T1^10*T2^5 - 48*T1^11*T2^5 - 
      8*T1^12*T2^5 - 28*T1^13*T2^5 + 20*T2^6 + 32*T1*T2^6 + 25*T1^2*T2^6 + 
      15*T1^3*T2^6 + 422*T1^4*T2^6 + 8*T1^5*T2^6 - 31*T1^6*T2^6 - 
      99*T1^7*T2^6 - 31*T1^8*T2^6 + 8*T1^9*T2^6 + 422*T1^10*T2^6 + 
      15*T1^11*T2^6 + 25*T1^12*T2^6 + 32*T1^13*T2^6 + 20*T1^14*T2^6 - 
      8*T2^7 - 48*T1*T2^7 - 26*T1^2*T2^7 + 52*T1^3*T2^7 - 488*T1^4*T2^7 + 
      8*T1^5*T2^7 - 99*T1^6*T2^7 + 100*T1^7*T2^7 + 100*T1^8*T2^7 - 
      99*T1^9*T2^7 + 8*T1^10*T2^7 - 488*T1^11*T2^7 + 52*T1^12*T2^7 - 
      26*T1^13*T2^7 - 48*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 24*T1*T2^8 + 
      88*T1^2*T2^8 - 144*T1^3*T2^8 + 384*T1^4*T2^8 + 216*T1^5*T2^8 - 
      31*T1^6*T2^8 + 100*T1^7*T2^8 - 216*T1^8*T2^8 + 100*T1^9*T2^8 - 
      31*T1^10*T2^8 + 216*T1^11*T2^8 + 384*T1^12*T2^8 - 144*T1^13*T2^8 + 
      88*T1^14*T2^8 + 24*T1^15*T2^8 + 2*T1^16*T2^8 - 8*T1*T2^9 - 
      48*T1^2*T2^9 - 26*T1^3*T2^9 + 52*T1^4*T2^9 - 488*T1^5*T2^9 + 
      8*T1^6*T2^9 - 99*T1^7*T2^9 + 100*T1^8*T2^9 + 100*T1^9*T2^9 - 
      99*T1^10*T2^9 + 8*T1^11*T2^9 - 488*T1^12*T2^9 + 52*T1^13*T2^9 - 
      26*T1^14*T2^9 - 48*T1^15*T2^9 - 8*T1^16*T2^9 + 20*T1^2*T2^10 + 
      32*T1^3*T2^10 + 25*T1^4*T2^10 + 15*T1^5*T2^10 + 422*T1^6*T2^10 + 
      8*T1^7*T2^10 - 31*T1^8*T2^10 - 99*T1^9*T2^10 - 31*T1^10*T2^10 + 
      8*T1^11*T2^10 + 422*T1^12*T2^10 + 15*T1^13*T2^10 + 25*T1^14*T2^10 + 
      32*T1^15*T2^10 + 20*T1^16*T2^10 - 28*T1^3*T2^11 - 8*T1^4*T2^11 - 
      48*T1^5*T2^11 + 15*T1^6*T2^11 - 488*T1^7*T2^11 + 216*T1^8*T2^11 + 
      8*T1^9*T2^11 + 8*T1^10*T2^11 + 216*T1^11*T2^11 - 488*T1^12*T2^11 + 
      15*T1^13*T2^11 - 48*T1^14*T2^11 - 8*T1^15*T2^11 - 28*T1^16*T2^11 + 
      30*T1^4*T2^12 - 8*T1^5*T2^12 + 25*T1^6*T2^12 + 52*T1^7*T2^12 + 
      384*T1^8*T2^12 - 488*T1^9*T2^12 + 422*T1^10*T2^12 - 488*T1^11*T2^12 + 
      384*T1^12*T2^12 + 52*T1^13*T2^12 + 25*T1^14*T2^12 - 8*T1^15*T2^12 + 
      30*T1^16*T2^12 - 28*T1^5*T2^13 + 32*T1^6*T2^13 - 26*T1^7*T2^13 - 
      144*T1^8*T2^13 + 52*T1^9*T2^13 + 15*T1^10*T2^13 + 15*T1^11*T2^13 + 
      52*T1^12*T2^13 - 144*T1^13*T2^13 - 26*T1^14*T2^13 + 32*T1^15*T2^13 - 
      28*T1^16*T2^13 + 20*T1^6*T2^14 - 48*T1^7*T2^14 + 88*T1^8*T2^14 - 
      26*T1^9*T2^14 + 25*T1^10*T2^14 - 48*T1^11*T2^14 + 25*T1^12*T2^14 - 
      26*T1^13*T2^14 + 88*T1^14*T2^14 - 48*T1^15*T2^14 + 20*T1^16*T2^14 - 
      8*T1^7*T2^15 + 24*T1^8*T2^15 - 48*T1^9*T2^15 + 32*T1^10*T2^15 - 
      8*T1^11*T2^15 - 8*T1^12*T2^15 + 32*T1^13*T2^15 - 48*T1^14*T2^15 + 
      24*T1^15*T2^15 - 8*T1^16*T2^15 + 2*T1^8*T2^16 - 8*T1^9*T2^16 + 
      20*T1^10*T2^16 - 28*T1^11*T2^16 + 30*T1^12*T2^16 - 28*T1^13*T2^16 + 
      20*T1^14*T2^16 - 8*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 105] -> 
  {(1 - 4*T^2 + 8*T^3 - 9*T^4 + 8*T^5 - 4*T^6 + T^8)/T^4, 
   (4 - 16*T1^2 + 32*T1^3 - 36*T1^4 + 32*T1^5 - 16*T1^6 + 4*T1^8 - 16*T2^2 + 
     46*T1^2*T2^2 - 115*T1^3*T2^2 + 182*T1^4*T2^2 - 224*T1^5*T2^2 + 
     182*T1^6*T2^2 - 115*T1^7*T2^2 + 46*T1^8*T2^2 - 16*T1^10*T2^2 + 32*T2^3 - 
     115*T1^2*T2^3 + 236*T1^3*T2^3 - 229*T1^4*T2^3 + 102*T1^5*T2^3 + 
     102*T1^6*T2^3 - 229*T1^7*T2^3 + 236*T1^8*T2^3 - 115*T1^9*T2^3 + 
     32*T1^11*T2^3 - 36*T2^4 + 182*T1^2*T2^4 - 229*T1^3*T2^4 + 21*T1^4*T2^4 + 
     189*T1^5*T2^4 - 239*T1^6*T2^4 + 189*T1^7*T2^4 + 21*T1^8*T2^4 - 
     229*T1^9*T2^4 + 182*T1^10*T2^4 - 36*T1^12*T2^4 + 32*T2^5 - 
     224*T1^2*T2^5 + 102*T1^3*T2^5 + 189*T1^4*T2^5 - 224*T1^5*T2^5 + 
     21*T1^6*T2^5 + 21*T1^7*T2^5 - 224*T1^8*T2^5 + 189*T1^9*T2^5 + 
     102*T1^10*T2^5 - 224*T1^11*T2^5 + 32*T1^13*T2^5 - 16*T2^6 + 
     182*T1^2*T2^6 + 102*T1^3*T2^6 - 239*T1^4*T2^6 + 21*T1^5*T2^6 + 
     248*T1^6*T2^6 - 120*T1^7*T2^6 + 248*T1^8*T2^6 + 21*T1^9*T2^6 - 
     239*T1^10*T2^6 + 102*T1^11*T2^6 + 182*T1^12*T2^6 - 16*T1^14*T2^6 - 
     115*T1^2*T2^7 - 229*T1^3*T2^7 + 189*T1^4*T2^7 + 21*T1^5*T2^7 - 
     120*T1^6*T2^7 - 102*T1^7*T2^7 - 102*T1^8*T2^7 - 120*T1^9*T2^7 + 
     21*T1^10*T2^7 + 189*T1^11*T2^7 - 229*T1^12*T2^7 - 115*T1^13*T2^7 + 
     4*T2^8 + 46*T1^2*T2^8 + 236*T1^3*T2^8 + 21*T1^4*T2^8 - 224*T1^5*T2^8 + 
     248*T1^6*T2^8 - 102*T1^7*T2^8 + 348*T1^8*T2^8 - 102*T1^9*T2^8 + 
     248*T1^10*T2^8 - 224*T1^11*T2^8 + 21*T1^12*T2^8 + 236*T1^13*T2^8 + 
     46*T1^14*T2^8 + 4*T1^16*T2^8 - 115*T1^3*T2^9 - 229*T1^4*T2^9 + 
     189*T1^5*T2^9 + 21*T1^6*T2^9 - 120*T1^7*T2^9 - 102*T1^8*T2^9 - 
     102*T1^9*T2^9 - 120*T1^10*T2^9 + 21*T1^11*T2^9 + 189*T1^12*T2^9 - 
     229*T1^13*T2^9 - 115*T1^14*T2^9 - 16*T1^2*T2^10 + 182*T1^4*T2^10 + 
     102*T1^5*T2^10 - 239*T1^6*T2^10 + 21*T1^7*T2^10 + 248*T1^8*T2^10 - 
     120*T1^9*T2^10 + 248*T1^10*T2^10 + 21*T1^11*T2^10 - 239*T1^12*T2^10 + 
     102*T1^13*T2^10 + 182*T1^14*T2^10 - 16*T1^16*T2^10 + 32*T1^3*T2^11 - 
     224*T1^5*T2^11 + 102*T1^6*T2^11 + 189*T1^7*T2^11 - 224*T1^8*T2^11 + 
     21*T1^9*T2^11 + 21*T1^10*T2^11 - 224*T1^11*T2^11 + 189*T1^12*T2^11 + 
     102*T1^13*T2^11 - 224*T1^14*T2^11 + 32*T1^16*T2^11 - 36*T1^4*T2^12 + 
     182*T1^6*T2^12 - 229*T1^7*T2^12 + 21*T1^8*T2^12 + 189*T1^9*T2^12 - 
     239*T1^10*T2^12 + 189*T1^11*T2^12 + 21*T1^12*T2^12 - 229*T1^13*T2^12 + 
     182*T1^14*T2^12 - 36*T1^16*T2^12 + 32*T1^5*T2^13 - 115*T1^7*T2^13 + 
     236*T1^8*T2^13 - 229*T1^9*T2^13 + 102*T1^10*T2^13 + 102*T1^11*T2^13 - 
     229*T1^12*T2^13 + 236*T1^13*T2^13 - 115*T1^14*T2^13 + 32*T1^16*T2^13 - 
     16*T1^6*T2^14 + 46*T1^8*T2^14 - 115*T1^9*T2^14 + 182*T1^10*T2^14 - 
     224*T1^11*T2^14 + 182*T1^12*T2^14 - 115*T1^13*T2^14 + 46*T1^14*T2^14 - 
     16*T1^16*T2^14 + 4*T1^8*T2^16 - 16*T1^10*T2^16 + 32*T1^11*T2^16 - 
     36*T1^12*T2^16 + 32*T1^13*T2^16 - 16*T1^14*T2^16 + 4*T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, NonAlternating, 106] -> 
  {(1 - T + T^2)^4/T^4, -((4 - 10*T1 + 12*T1^2 - 10*T1^3 + 12*T1^4 - 
      10*T1^5 + 4*T1^6 - 10*T2 + 12*T1*T2 + 3*T1^2*T2 - 10*T1^3*T2 - 
      10*T1^4*T2 + 3*T1^5*T2 + 12*T1^6*T2 - 10*T1^7*T2 + 12*T2^2 + 
      3*T1*T2^2 - 34*T1^2*T2^2 + 12*T1^3*T2^2 + 32*T1^4*T2^2 + 12*T1^5*T2^2 - 
      34*T1^6*T2^2 + 3*T1^7*T2^2 + 12*T1^8*T2^2 - 10*T2^3 - 10*T1*T2^3 + 
      12*T1^2*T2^3 + 76*T1^3*T2^3 - 70*T1^4*T2^3 - 70*T1^5*T2^3 + 
      76*T1^6*T2^3 + 12*T1^7*T2^3 - 10*T1^8*T2^3 - 10*T1^9*T2^3 + 12*T2^4 - 
      10*T1*T2^4 + 32*T1^2*T2^4 - 70*T1^3*T2^4 - 154*T1^4*T2^4 + 
      330*T1^5*T2^4 - 154*T1^6*T2^4 - 70*T1^7*T2^4 + 32*T1^8*T2^4 - 
      10*T1^9*T2^4 + 12*T1^10*T2^4 - 10*T2^5 + 3*T1*T2^5 + 12*T1^2*T2^5 - 
      70*T1^3*T2^5 + 330*T1^4*T2^5 - 204*T1^5*T2^5 - 204*T1^6*T2^5 + 
      330*T1^7*T2^5 - 70*T1^8*T2^5 + 12*T1^9*T2^5 + 3*T1^10*T2^5 - 
      10*T1^11*T2^5 + 4*T2^6 + 12*T1*T2^6 - 34*T1^2*T2^6 + 76*T1^3*T2^6 - 
      154*T1^4*T2^6 - 204*T1^5*T2^6 + 444*T1^6*T2^6 - 204*T1^7*T2^6 - 
      154*T1^8*T2^6 + 76*T1^9*T2^6 - 34*T1^10*T2^6 + 12*T1^11*T2^6 + 
      4*T1^12*T2^6 - 10*T1*T2^7 + 3*T1^2*T2^7 + 12*T1^3*T2^7 - 70*T1^4*T2^7 + 
      330*T1^5*T2^7 - 204*T1^6*T2^7 - 204*T1^7*T2^7 + 330*T1^8*T2^7 - 
      70*T1^9*T2^7 + 12*T1^10*T2^7 + 3*T1^11*T2^7 - 10*T1^12*T2^7 + 
      12*T1^2*T2^8 - 10*T1^3*T2^8 + 32*T1^4*T2^8 - 70*T1^5*T2^8 - 
      154*T1^6*T2^8 + 330*T1^7*T2^8 - 154*T1^8*T2^8 - 70*T1^9*T2^8 + 
      32*T1^10*T2^8 - 10*T1^11*T2^8 + 12*T1^12*T2^8 - 10*T1^3*T2^9 - 
      10*T1^4*T2^9 + 12*T1^5*T2^9 + 76*T1^6*T2^9 - 70*T1^7*T2^9 - 
      70*T1^8*T2^9 + 76*T1^9*T2^9 + 12*T1^10*T2^9 - 10*T1^11*T2^9 - 
      10*T1^12*T2^9 + 12*T1^4*T2^10 + 3*T1^5*T2^10 - 34*T1^6*T2^10 + 
      12*T1^7*T2^10 + 32*T1^8*T2^10 + 12*T1^9*T2^10 - 34*T1^10*T2^10 + 
      3*T1^11*T2^10 + 12*T1^12*T2^10 - 10*T1^5*T2^11 + 12*T1^6*T2^11 + 
      3*T1^7*T2^11 - 10*T1^8*T2^11 - 10*T1^9*T2^11 + 3*T1^10*T2^11 + 
      12*T1^11*T2^11 - 10*T1^12*T2^11 + 4*T1^6*T2^12 - 10*T1^7*T2^12 + 
      12*T1^8*T2^12 - 10*T1^9*T2^12 + 12*T1^10*T2^12 - 10*T1^11*T2^12 + 
      4*T1^12*T2^12)/(T1^6*T2^6))}, 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), 
   -((3 - 12*T1 + 18*T1^2 - 18*T1^3 + 15*T1^4 - 18*T1^5 + 18*T1^6 - 12*T1^7 + 
      3*T1^8 - 12*T2 + 36*T1*T2 - 24*T1^2*T2 + 12*T1^4*T2 + 12*T1^5*T2 - 
      24*T1^7*T2 + 36*T1^8*T2 - 12*T1^9*T2 + 18*T2^2 - 24*T1*T2^2 - 
      64*T1^2*T2^2 + 106*T1^3*T2^2 - 88*T1^4*T2^2 + 24*T1^5*T2^2 - 
      88*T1^6*T2^2 + 106*T1^7*T2^2 - 64*T1^8*T2^2 - 24*T1^9*T2^2 + 
      18*T1^10*T2^2 - 18*T2^3 + 106*T1^2*T2^3 - 60*T1^3*T2^3 - 14*T1^4*T2^3 + 
      66*T1^5*T2^3 + 66*T1^6*T2^3 - 14*T1^7*T2^3 - 60*T1^8*T2^3 + 
      106*T1^9*T2^3 - 18*T1^11*T2^3 + 15*T2^4 + 12*T1*T2^4 - 88*T1^2*T2^4 - 
      14*T1^3*T2^4 + 40*T1^4*T2^4 - 28*T1^5*T2^4 - 104*T1^6*T2^4 - 
      28*T1^7*T2^4 + 40*T1^8*T2^4 - 14*T1^9*T2^4 - 88*T1^10*T2^4 + 
      12*T1^11*T2^4 + 15*T1^12*T2^4 - 18*T2^5 + 12*T1*T2^5 + 24*T1^2*T2^5 + 
      66*T1^3*T2^5 - 28*T1^4*T2^5 + 16*T1^5*T2^5 + 63*T1^6*T2^5 + 
      63*T1^7*T2^5 + 16*T1^8*T2^5 - 28*T1^9*T2^5 + 66*T1^10*T2^5 + 
      24*T1^11*T2^5 + 12*T1^12*T2^5 - 18*T1^13*T2^5 + 18*T2^6 - 
      88*T1^2*T2^6 + 66*T1^3*T2^6 - 104*T1^4*T2^6 + 63*T1^5*T2^6 - 
      125*T1^6*T2^6 + 51*T1^7*T2^6 - 125*T1^8*T2^6 + 63*T1^9*T2^6 - 
      104*T1^10*T2^6 + 66*T1^11*T2^6 - 88*T1^12*T2^6 + 18*T1^14*T2^6 - 
      12*T2^7 - 24*T1*T2^7 + 106*T1^2*T2^7 - 14*T1^3*T2^7 - 28*T1^4*T2^7 + 
      63*T1^5*T2^7 + 51*T1^6*T2^7 + 8*T1^7*T2^7 + 8*T1^8*T2^7 + 
      51*T1^9*T2^7 + 63*T1^10*T2^7 - 28*T1^11*T2^7 - 14*T1^12*T2^7 + 
      106*T1^13*T2^7 - 24*T1^14*T2^7 - 12*T1^15*T2^7 + 3*T2^8 + 36*T1*T2^8 - 
      64*T1^2*T2^8 - 60*T1^3*T2^8 + 40*T1^4*T2^8 + 16*T1^5*T2^8 - 
      125*T1^6*T2^8 + 8*T1^7*T2^8 - 12*T1^8*T2^8 + 8*T1^9*T2^8 - 
      125*T1^10*T2^8 + 16*T1^11*T2^8 + 40*T1^12*T2^8 - 60*T1^13*T2^8 - 
      64*T1^14*T2^8 + 36*T1^15*T2^8 + 3*T1^16*T2^8 - 12*T1*T2^9 - 
      24*T1^2*T2^9 + 106*T1^3*T2^9 - 14*T1^4*T2^9 - 28*T1^5*T2^9 + 
      63*T1^6*T2^9 + 51*T1^7*T2^9 + 8*T1^8*T2^9 + 8*T1^9*T2^9 + 
      51*T1^10*T2^9 + 63*T1^11*T2^9 - 28*T1^12*T2^9 - 14*T1^13*T2^9 + 
      106*T1^14*T2^9 - 24*T1^15*T2^9 - 12*T1^16*T2^9 + 18*T1^2*T2^10 - 
      88*T1^4*T2^10 + 66*T1^5*T2^10 - 104*T1^6*T2^10 + 63*T1^7*T2^10 - 
      125*T1^8*T2^10 + 51*T1^9*T2^10 - 125*T1^10*T2^10 + 63*T1^11*T2^10 - 
      104*T1^12*T2^10 + 66*T1^13*T2^10 - 88*T1^14*T2^10 + 18*T1^16*T2^10 - 
      18*T1^3*T2^11 + 12*T1^4*T2^11 + 24*T1^5*T2^11 + 66*T1^6*T2^11 - 
      28*T1^7*T2^11 + 16*T1^8*T2^11 + 63*T1^9*T2^11 + 63*T1^10*T2^11 + 
      16*T1^11*T2^11 - 28*T1^12*T2^11 + 66*T1^13*T2^11 + 24*T1^14*T2^11 + 
      12*T1^15*T2^11 - 18*T1^16*T2^11 + 15*T1^4*T2^12 + 12*T1^5*T2^12 - 
      88*T1^6*T2^12 - 14*T1^7*T2^12 + 40*T1^8*T2^12 - 28*T1^9*T2^12 - 
      104*T1^10*T2^12 - 28*T1^11*T2^12 + 40*T1^12*T2^12 - 14*T1^13*T2^12 - 
      88*T1^14*T2^12 + 12*T1^15*T2^12 + 15*T1^16*T2^12 - 18*T1^5*T2^13 + 
      106*T1^7*T2^13 - 60*T1^8*T2^13 - 14*T1^9*T2^13 + 66*T1^10*T2^13 + 
      66*T1^11*T2^13 - 14*T1^12*T2^13 - 60*T1^13*T2^13 + 106*T1^14*T2^13 - 
      18*T1^16*T2^13 + 18*T1^6*T2^14 - 24*T1^7*T2^14 - 64*T1^8*T2^14 + 
      106*T1^9*T2^14 - 88*T1^10*T2^14 + 24*T1^11*T2^14 - 88*T1^12*T2^14 + 
      106*T1^13*T2^14 - 64*T1^14*T2^14 - 24*T1^15*T2^14 + 18*T1^16*T2^14 - 
      12*T1^7*T2^15 + 36*T1^8*T2^15 - 24*T1^9*T2^15 + 12*T1^11*T2^15 + 
      12*T1^12*T2^15 - 24*T1^14*T2^15 + 36*T1^15*T2^15 - 12*T1^16*T2^15 + 
      3*T1^8*T2^16 - 12*T1^9*T2^16 + 18*T1^10*T2^16 - 18*T1^11*T2^16 + 
      15*T1^12*T2^16 - 18*T1^13*T2^16 + 18*T1^14*T2^16 - 12*T1^15*T2^16 + 
      3*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, NonAlternating, 108] -> 
  {-((2 - 9*T + 15*T^2 - 17*T^3 + 15*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((17 - 76*T1 + 126*T1^2 - 143*T1^3 + 126*T1^4 - 76*T1^5 + 17*T1^6 - 
      76*T2 + 264*T1*T2 - 224*T1^2*T2 + 76*T1^3*T2 + 76*T1^4*T2 - 
      224*T1^5*T2 + 264*T1^6*T2 - 76*T1^7*T2 + 126*T2^2 - 224*T1*T2^2 - 
      438*T1^2*T2^2 + 871*T1^3*T2^2 - 966*T1^4*T2^2 + 871*T1^5*T2^2 - 
      438*T1^6*T2^2 - 224*T1^7*T2^2 + 126*T1^8*T2^2 - 143*T2^3 + 76*T1*T2^3 + 
      871*T1^2*T2^3 - 678*T1^3*T2^3 + 199*T1^4*T2^3 + 199*T1^5*T2^3 - 
      678*T1^6*T2^3 + 871*T1^7*T2^3 + 76*T1^8*T2^3 - 143*T1^9*T2^3 + 
      126*T2^4 + 76*T1*T2^4 - 966*T1^2*T2^4 + 199*T1^3*T2^4 + 248*T1^4*T2^4 - 
      378*T1^5*T2^4 + 248*T1^6*T2^4 + 199*T1^7*T2^4 - 966*T1^8*T2^4 + 
      76*T1^9*T2^4 + 126*T1^10*T2^4 - 76*T2^5 - 224*T1*T2^5 + 871*T1^2*T2^5 + 
      199*T1^3*T2^5 - 378*T1^4*T2^5 + 232*T1^5*T2^5 + 232*T1^6*T2^5 - 
      378*T1^7*T2^5 + 199*T1^8*T2^5 + 871*T1^9*T2^5 - 224*T1^10*T2^5 - 
      76*T1^11*T2^5 + 17*T2^6 + 264*T1*T2^6 - 438*T1^2*T2^6 - 678*T1^3*T2^6 + 
      248*T1^4*T2^6 + 232*T1^5*T2^6 - 612*T1^6*T2^6 + 232*T1^7*T2^6 + 
      248*T1^8*T2^6 - 678*T1^9*T2^6 - 438*T1^10*T2^6 + 264*T1^11*T2^6 + 
      17*T1^12*T2^6 - 76*T1*T2^7 - 224*T1^2*T2^7 + 871*T1^3*T2^7 + 
      199*T1^4*T2^7 - 378*T1^5*T2^7 + 232*T1^6*T2^7 + 232*T1^7*T2^7 - 
      378*T1^8*T2^7 + 199*T1^9*T2^7 + 871*T1^10*T2^7 - 224*T1^11*T2^7 - 
      76*T1^12*T2^7 + 126*T1^2*T2^8 + 76*T1^3*T2^8 - 966*T1^4*T2^8 + 
      199*T1^5*T2^8 + 248*T1^6*T2^8 - 378*T1^7*T2^8 + 248*T1^8*T2^8 + 
      199*T1^9*T2^8 - 966*T1^10*T2^8 + 76*T1^11*T2^8 + 126*T1^12*T2^8 - 
      143*T1^3*T2^9 + 76*T1^4*T2^9 + 871*T1^5*T2^9 - 678*T1^6*T2^9 + 
      199*T1^7*T2^9 + 199*T1^8*T2^9 - 678*T1^9*T2^9 + 871*T1^10*T2^9 + 
      76*T1^11*T2^9 - 143*T1^12*T2^9 + 126*T1^4*T2^10 - 224*T1^5*T2^10 - 
      438*T1^6*T2^10 + 871*T1^7*T2^10 - 966*T1^8*T2^10 + 871*T1^9*T2^10 - 
      438*T1^10*T2^10 - 224*T1^11*T2^10 + 126*T1^12*T2^10 - 76*T1^5*T2^11 + 
      264*T1^6*T2^11 - 224*T1^7*T2^11 + 76*T1^8*T2^11 + 76*T1^9*T2^11 - 
      224*T1^10*T2^11 + 264*T1^11*T2^11 - 76*T1^12*T2^11 + 17*T1^6*T2^12 - 
      76*T1^7*T2^12 + 126*T1^8*T2^12 - 143*T1^9*T2^12 + 126*T1^10*T2^12 - 
      76*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 109] -> 
  {(2 - 9*T + 23*T^2 - 31*T^3 + 23*T^4 - 9*T^5 + 2*T^6)/T^3, 
   -((9 - 40*T1 + 102*T1^2 - 137*T1^3 + 102*T1^4 - 40*T1^5 + 9*T1^6 - 40*T2 + 
      138*T1*T2 - 276*T1^2*T2 + 156*T1^3*T2 + 156*T1^4*T2 - 276*T1^5*T2 + 
      138*T1^6*T2 - 40*T1^7*T2 + 102*T2^2 - 276*T1*T2^2 + 441*T1^2*T2^2 + 
      102*T1^3*T2^2 - 535*T1^4*T2^2 + 102*T1^5*T2^2 + 441*T1^6*T2^2 - 
      276*T1^7*T2^2 + 102*T1^8*T2^2 - 137*T2^3 + 156*T1*T2^3 + 
      102*T1^2*T2^3 - 1350*T1^3*T2^3 + 933*T1^4*T2^3 + 933*T1^5*T2^3 - 
      1350*T1^6*T2^3 + 102*T1^7*T2^3 + 156*T1^8*T2^3 - 137*T1^9*T2^3 + 
      102*T2^4 + 156*T1*T2^4 - 535*T1^2*T2^4 + 933*T1^3*T2^4 + 
      2309*T1^4*T2^4 - 4707*T1^5*T2^4 + 2309*T1^6*T2^4 + 933*T1^7*T2^4 - 
      535*T1^8*T2^4 + 156*T1^9*T2^4 + 102*T1^10*T2^4 - 40*T2^5 - 
      276*T1*T2^5 + 102*T1^2*T2^5 + 933*T1^3*T2^5 - 4707*T1^4*T2^5 + 
      3052*T1^5*T2^5 + 3052*T1^6*T2^5 - 4707*T1^7*T2^5 + 933*T1^8*T2^5 + 
      102*T1^9*T2^5 - 276*T1^10*T2^5 - 40*T1^11*T2^5 + 9*T2^6 + 138*T1*T2^6 + 
      441*T1^2*T2^6 - 1350*T1^3*T2^6 + 2309*T1^4*T2^6 + 3052*T1^5*T2^6 - 
      7044*T1^6*T2^6 + 3052*T1^7*T2^6 + 2309*T1^8*T2^6 - 1350*T1^9*T2^6 + 
      441*T1^10*T2^6 + 138*T1^11*T2^6 + 9*T1^12*T2^6 - 40*T1*T2^7 - 
      276*T1^2*T2^7 + 102*T1^3*T2^7 + 933*T1^4*T2^7 - 4707*T1^5*T2^7 + 
      3052*T1^6*T2^7 + 3052*T1^7*T2^7 - 4707*T1^8*T2^7 + 933*T1^9*T2^7 + 
      102*T1^10*T2^7 - 276*T1^11*T2^7 - 40*T1^12*T2^7 + 102*T1^2*T2^8 + 
      156*T1^3*T2^8 - 535*T1^4*T2^8 + 933*T1^5*T2^8 + 2309*T1^6*T2^8 - 
      4707*T1^7*T2^8 + 2309*T1^8*T2^8 + 933*T1^9*T2^8 - 535*T1^10*T2^8 + 
      156*T1^11*T2^8 + 102*T1^12*T2^8 - 137*T1^3*T2^9 + 156*T1^4*T2^9 + 
      102*T1^5*T2^9 - 1350*T1^6*T2^9 + 933*T1^7*T2^9 + 933*T1^8*T2^9 - 
      1350*T1^9*T2^9 + 102*T1^10*T2^9 + 156*T1^11*T2^9 - 137*T1^12*T2^9 + 
      102*T1^4*T2^10 - 276*T1^5*T2^10 + 441*T1^6*T2^10 + 102*T1^7*T2^10 - 
      535*T1^8*T2^10 + 102*T1^9*T2^10 + 441*T1^10*T2^10 - 276*T1^11*T2^10 + 
      102*T1^12*T2^10 - 40*T1^5*T2^11 + 138*T1^6*T2^11 - 276*T1^7*T2^11 + 
      156*T1^8*T2^11 + 156*T1^9*T2^11 - 276*T1^10*T2^11 + 138*T1^11*T2^11 - 
      40*T1^12*T2^11 + 9*T1^6*T2^12 - 40*T1^7*T2^12 + 102*T1^8*T2^12 - 
      137*T1^9*T2^12 + 102*T1^10*T2^12 - 40*T1^11*T2^12 + 9*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, NonAlternating, 110] -> 
  {((2 - 3*T + 2*T^2)*(1 + T - 3*T^2 + T^3 + T^4))/T^3, 
   (25 - 12*T1 - 88*T1^2 + 163*T1^3 - 88*T1^4 - 12*T1^5 + 25*T1^6 - 12*T2 - 
     6*T1*T2 + 48*T1^2*T2 - 36*T1^3*T2 - 36*T1^4*T2 + 48*T1^5*T2 - 
     6*T1^6*T2 - 12*T1^7*T2 - 88*T2^2 + 48*T1*T2^2 + 207*T1^2*T2^2 - 
     488*T1^3*T2^2 + 559*T1^4*T2^2 - 488*T1^5*T2^2 + 207*T1^6*T2^2 + 
     48*T1^7*T2^2 - 88*T1^8*T2^2 + 163*T2^3 - 36*T1*T2^3 - 488*T1^2*T2^3 + 
     830*T1^3*T2^3 - 379*T1^4*T2^3 - 379*T1^5*T2^3 + 830*T1^6*T2^3 - 
     488*T1^7*T2^3 - 36*T1^8*T2^3 + 163*T1^9*T2^3 - 88*T2^4 - 36*T1*T2^4 + 
     559*T1^2*T2^4 - 379*T1^3*T2^4 - 1030*T1^4*T2^4 + 1984*T1^5*T2^4 - 
     1030*T1^6*T2^4 - 379*T1^7*T2^4 + 559*T1^8*T2^4 - 36*T1^9*T2^4 - 
     88*T1^10*T2^4 - 12*T2^5 + 48*T1*T2^5 - 488*T1^2*T2^5 - 379*T1^3*T2^5 + 
     1984*T1^4*T2^5 - 1440*T1^5*T2^5 - 1440*T1^6*T2^5 + 1984*T1^7*T2^5 - 
     379*T1^8*T2^5 - 488*T1^9*T2^5 + 48*T1^10*T2^5 - 12*T1^11*T2^5 + 
     25*T2^6 - 6*T1*T2^6 + 207*T1^2*T2^6 + 830*T1^3*T2^6 - 1030*T1^4*T2^6 - 
     1440*T1^5*T2^6 + 3708*T1^6*T2^6 - 1440*T1^7*T2^6 - 1030*T1^8*T2^6 + 
     830*T1^9*T2^6 + 207*T1^10*T2^6 - 6*T1^11*T2^6 + 25*T1^12*T2^6 - 
     12*T1*T2^7 + 48*T1^2*T2^7 - 488*T1^3*T2^7 - 379*T1^4*T2^7 + 
     1984*T1^5*T2^7 - 1440*T1^6*T2^7 - 1440*T1^7*T2^7 + 1984*T1^8*T2^7 - 
     379*T1^9*T2^7 - 488*T1^10*T2^7 + 48*T1^11*T2^7 - 12*T1^12*T2^7 - 
     88*T1^2*T2^8 - 36*T1^3*T2^8 + 559*T1^4*T2^8 - 379*T1^5*T2^8 - 
     1030*T1^6*T2^8 + 1984*T1^7*T2^8 - 1030*T1^8*T2^8 - 379*T1^9*T2^8 + 
     559*T1^10*T2^8 - 36*T1^11*T2^8 - 88*T1^12*T2^8 + 163*T1^3*T2^9 - 
     36*T1^4*T2^9 - 488*T1^5*T2^9 + 830*T1^6*T2^9 - 379*T1^7*T2^9 - 
     379*T1^8*T2^9 + 830*T1^9*T2^9 - 488*T1^10*T2^9 - 36*T1^11*T2^9 + 
     163*T1^12*T2^9 - 88*T1^4*T2^10 + 48*T1^5*T2^10 + 207*T1^6*T2^10 - 
     488*T1^7*T2^10 + 559*T1^8*T2^10 - 488*T1^9*T2^10 + 207*T1^10*T2^10 + 
     48*T1^11*T2^10 - 88*T1^12*T2^10 - 12*T1^5*T2^11 - 6*T1^6*T2^11 + 
     48*T1^7*T2^11 - 36*T1^8*T2^11 - 36*T1^9*T2^11 + 48*T1^10*T2^11 - 
     6*T1^11*T2^11 - 12*T1^12*T2^11 + 25*T1^6*T2^12 - 12*T1^7*T2^12 - 
     88*T1^8*T2^12 + 163*T1^9*T2^12 - 88*T1^10*T2^12 - 12*T1^11*T2^12 + 
     25*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 111] -> 
  {((2 - 3*T + 2*T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3, 
   (7 - 32*T1 + 74*T1^2 - 95*T1^3 + 74*T1^4 - 32*T1^5 + 7*T1^6 - 32*T2 + 
     114*T1*T2 - 192*T1^2*T2 + 96*T1^3*T2 + 96*T1^4*T2 - 192*T1^5*T2 + 
     114*T1^6*T2 - 32*T1^7*T2 + 74*T2^2 - 192*T1*T2^2 + 159*T1^2*T2^2 + 
     292*T1^3*T2^2 - 551*T1^4*T2^2 + 292*T1^5*T2^2 + 159*T1^6*T2^2 - 
     192*T1^7*T2^2 + 74*T1^8*T2^2 - 95*T2^3 + 96*T1*T2^3 + 292*T1^2*T2^3 - 
     988*T1^3*T2^3 + 555*T1^4*T2^3 + 555*T1^5*T2^3 - 988*T1^6*T2^3 + 
     292*T1^7*T2^3 + 96*T1^8*T2^3 - 95*T1^9*T2^3 + 74*T2^4 + 96*T1*T2^4 - 
     551*T1^2*T2^4 + 555*T1^3*T2^4 + 1176*T1^4*T2^4 - 2230*T1^5*T2^4 + 
     1176*T1^6*T2^4 + 555*T1^7*T2^4 - 551*T1^8*T2^4 + 96*T1^9*T2^4 + 
     74*T1^10*T2^4 - 32*T2^5 - 192*T1*T2^5 + 292*T1^2*T2^5 + 555*T1^3*T2^5 - 
     2230*T1^4*T2^5 + 1306*T1^5*T2^5 + 1306*T1^6*T2^5 - 2230*T1^7*T2^5 + 
     555*T1^8*T2^5 + 292*T1^9*T2^5 - 192*T1^10*T2^5 - 32*T1^11*T2^5 + 
     7*T2^6 + 114*T1*T2^6 + 159*T1^2*T2^6 - 988*T1^3*T2^6 + 1176*T1^4*T2^6 + 
     1306*T1^5*T2^6 - 2904*T1^6*T2^6 + 1306*T1^7*T2^6 + 1176*T1^8*T2^6 - 
     988*T1^9*T2^6 + 159*T1^10*T2^6 + 114*T1^11*T2^6 + 7*T1^12*T2^6 - 
     32*T1*T2^7 - 192*T1^2*T2^7 + 292*T1^3*T2^7 + 555*T1^4*T2^7 - 
     2230*T1^5*T2^7 + 1306*T1^6*T2^7 + 1306*T1^7*T2^7 - 2230*T1^8*T2^7 + 
     555*T1^9*T2^7 + 292*T1^10*T2^7 - 192*T1^11*T2^7 - 32*T1^12*T2^7 + 
     74*T1^2*T2^8 + 96*T1^3*T2^8 - 551*T1^4*T2^8 + 555*T1^5*T2^8 + 
     1176*T1^6*T2^8 - 2230*T1^7*T2^8 + 1176*T1^8*T2^8 + 555*T1^9*T2^8 - 
     551*T1^10*T2^8 + 96*T1^11*T2^8 + 74*T1^12*T2^8 - 95*T1^3*T2^9 + 
     96*T1^4*T2^9 + 292*T1^5*T2^9 - 988*T1^6*T2^9 + 555*T1^7*T2^9 + 
     555*T1^8*T2^9 - 988*T1^9*T2^9 + 292*T1^10*T2^9 + 96*T1^11*T2^9 - 
     95*T1^12*T2^9 + 74*T1^4*T2^10 - 192*T1^5*T2^10 + 159*T1^6*T2^10 + 
     292*T1^7*T2^10 - 551*T1^8*T2^10 + 292*T1^9*T2^10 + 159*T1^10*T2^10 - 
     192*T1^11*T2^10 + 74*T1^12*T2^10 - 32*T1^5*T2^11 + 114*T1^6*T2^11 - 
     192*T1^7*T2^11 + 96*T1^8*T2^11 + 96*T1^9*T2^11 - 192*T1^10*T2^11 + 
     114*T1^11*T2^11 - 32*T1^12*T2^11 + 7*T1^6*T2^12 - 32*T1^7*T2^12 + 
     74*T1^8*T2^12 - 95*T1^9*T2^12 + 74*T1^10*T2^12 - 32*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 112] -> 
  {-(((2 - 3*T + 2*T^2)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^3), 
   -((17 - 76*T1 + 142*T1^2 - 175*T1^3 + 142*T1^4 - 76*T1^5 + 17*T1^6 - 
      76*T2 + 264*T1*T2 - 296*T1^2*T2 + 148*T1^3*T2 + 148*T1^4*T2 - 
      296*T1^5*T2 + 264*T1^6*T2 - 76*T1^7*T2 + 142*T2^2 - 296*T1*T2^2 - 
      184*T1^2*T2^2 + 757*T1^3*T2^2 - 1146*T1^4*T2^2 + 757*T1^5*T2^2 - 
      184*T1^6*T2^2 - 296*T1^7*T2^2 + 142*T1^8*T2^2 - 175*T2^3 + 
      148*T1*T2^3 + 757*T1^2*T2^3 - 970*T1^3*T2^3 + 605*T1^4*T2^3 + 
      605*T1^5*T2^3 - 970*T1^6*T2^3 + 757*T1^7*T2^3 + 148*T1^8*T2^3 - 
      175*T1^9*T2^3 + 142*T2^4 + 148*T1*T2^4 - 1146*T1^2*T2^4 + 
      605*T1^3*T2^4 + 155*T1^4*T2^4 - 1051*T1^5*T2^4 + 155*T1^6*T2^4 + 
      605*T1^7*T2^4 - 1146*T1^8*T2^4 + 148*T1^9*T2^4 + 142*T1^10*T2^4 - 
      76*T2^5 - 296*T1*T2^5 + 757*T1^2*T2^5 + 605*T1^3*T2^5 - 
      1051*T1^4*T2^5 + 888*T1^5*T2^5 + 888*T1^6*T2^5 - 1051*T1^7*T2^5 + 
      605*T1^8*T2^5 + 757*T1^9*T2^5 - 296*T1^10*T2^5 - 76*T1^11*T2^5 + 
      17*T2^6 + 264*T1*T2^6 - 184*T1^2*T2^6 - 970*T1^3*T2^6 + 155*T1^4*T2^6 + 
      888*T1^5*T2^6 - 2148*T1^6*T2^6 + 888*T1^7*T2^6 + 155*T1^8*T2^6 - 
      970*T1^9*T2^6 - 184*T1^10*T2^6 + 264*T1^11*T2^6 + 17*T1^12*T2^6 - 
      76*T1*T2^7 - 296*T1^2*T2^7 + 757*T1^3*T2^7 + 605*T1^4*T2^7 - 
      1051*T1^5*T2^7 + 888*T1^6*T2^7 + 888*T1^7*T2^7 - 1051*T1^8*T2^7 + 
      605*T1^9*T2^7 + 757*T1^10*T2^7 - 296*T1^11*T2^7 - 76*T1^12*T2^7 + 
      142*T1^2*T2^8 + 148*T1^3*T2^8 - 1146*T1^4*T2^8 + 605*T1^5*T2^8 + 
      155*T1^6*T2^8 - 1051*T1^7*T2^8 + 155*T1^8*T2^8 + 605*T1^9*T2^8 - 
      1146*T1^10*T2^8 + 148*T1^11*T2^8 + 142*T1^12*T2^8 - 175*T1^3*T2^9 + 
      148*T1^4*T2^9 + 757*T1^5*T2^9 - 970*T1^6*T2^9 + 605*T1^7*T2^9 + 
      605*T1^8*T2^9 - 970*T1^9*T2^9 + 757*T1^10*T2^9 + 148*T1^11*T2^9 - 
      175*T1^12*T2^9 + 142*T1^4*T2^10 - 296*T1^5*T2^10 - 184*T1^6*T2^10 + 
      757*T1^7*T2^10 - 1146*T1^8*T2^10 + 757*T1^9*T2^10 - 184*T1^10*T2^10 - 
      296*T1^11*T2^10 + 142*T1^12*T2^10 - 76*T1^5*T2^11 + 264*T1^6*T2^11 - 
      296*T1^7*T2^11 + 148*T1^8*T2^11 + 148*T1^9*T2^11 - 296*T1^10*T2^11 + 
      264*T1^11*T2^11 - 76*T1^12*T2^11 + 17*T1^6*T2^12 - 76*T1^7*T2^12 + 
      142*T1^8*T2^12 - 175*T1^9*T2^12 + 142*T1^10*T2^12 - 76*T1^11*T2^12 + 
      17*T1^12*T2^12)/(T1^6*T2^6))}, 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 + 12*T1*T2 - 24*T1^2*T2 + 18*T1^3*T2 - 6*T1^4*T2 - 
      6*T1^5*T2 + 18*T1^6*T2 - 24*T1^7*T2 + 12*T1^8*T2 - 6*T1^9*T2 + 
      14*T2^2 - 24*T1*T2^2 + 66*T1^2*T2^2 - 70*T1^3*T2^2 + 87*T1^4*T2^2 - 
      96*T1^5*T2^2 + 87*T1^6*T2^2 - 70*T1^7*T2^2 + 66*T1^8*T2^2 - 
      24*T1^9*T2^2 + 14*T1^10*T2^2 - 20*T2^3 + 18*T1*T2^3 - 70*T1^2*T2^3 + 
      20*T1^3*T2^3 - 30*T1^4*T2^3 + 13*T1^5*T2^3 + 13*T1^6*T2^3 - 
      30*T1^7*T2^3 + 20*T1^8*T2^3 - 70*T1^9*T2^3 + 18*T1^10*T2^3 - 
      20*T1^11*T2^3 + 22*T2^4 - 6*T1*T2^4 + 87*T1^2*T2^4 - 30*T1^3*T2^4 + 
      154*T1^4*T2^4 - 181*T1^5*T2^4 + 192*T1^6*T2^4 - 181*T1^7*T2^4 + 
      154*T1^8*T2^4 - 30*T1^9*T2^4 + 87*T1^10*T2^4 - 6*T1^11*T2^4 + 
      22*T1^12*T2^4 - 20*T2^5 - 6*T1*T2^5 - 96*T1^2*T2^5 + 13*T1^3*T2^5 - 
      181*T1^4*T2^5 + 92*T1^5*T2^5 - 35*T1^6*T2^5 - 35*T1^7*T2^5 + 
      92*T1^8*T2^5 - 181*T1^9*T2^5 + 13*T1^10*T2^5 - 96*T1^11*T2^5 - 
      6*T1^12*T2^5 - 20*T1^13*T2^5 + 14*T2^6 + 18*T1*T2^6 + 87*T1^2*T2^6 + 
      13*T1^3*T2^6 + 192*T1^4*T2^6 - 35*T1^5*T2^6 + 45*T1^6*T2^6 - 
      29*T1^7*T2^6 + 45*T1^8*T2^6 - 35*T1^9*T2^6 + 192*T1^10*T2^6 + 
      13*T1^11*T2^6 + 87*T1^12*T2^6 + 18*T1^13*T2^6 + 14*T1^14*T2^6 - 
      6*T2^7 - 24*T1*T2^7 - 70*T1^2*T2^7 - 30*T1^3*T2^7 - 181*T1^4*T2^7 - 
      35*T1^5*T2^7 - 29*T1^6*T2^7 - 6*T1^7*T2^7 - 6*T1^8*T2^7 - 
      29*T1^9*T2^7 - 35*T1^10*T2^7 - 181*T1^11*T2^7 - 30*T1^12*T2^7 - 
      70*T1^13*T2^7 - 24*T1^14*T2^7 - 6*T1^15*T2^7 + 2*T2^8 + 12*T1*T2^8 + 
      66*T1^2*T2^8 + 20*T1^3*T2^8 + 154*T1^4*T2^8 + 92*T1^5*T2^8 + 
      45*T1^6*T2^8 - 6*T1^7*T2^8 + 36*T1^8*T2^8 - 6*T1^9*T2^8 + 
      45*T1^10*T2^8 + 92*T1^11*T2^8 + 154*T1^12*T2^8 + 20*T1^13*T2^8 + 
      66*T1^14*T2^8 + 12*T1^15*T2^8 + 2*T1^16*T2^8 - 6*T1*T2^9 - 
      24*T1^2*T2^9 - 70*T1^3*T2^9 - 30*T1^4*T2^9 - 181*T1^5*T2^9 - 
      35*T1^6*T2^9 - 29*T1^7*T2^9 - 6*T1^8*T2^9 - 6*T1^9*T2^9 - 
      29*T1^10*T2^9 - 35*T1^11*T2^9 - 181*T1^12*T2^9 - 30*T1^13*T2^9 - 
      70*T1^14*T2^9 - 24*T1^15*T2^9 - 6*T1^16*T2^9 + 14*T1^2*T2^10 + 
      18*T1^3*T2^10 + 87*T1^4*T2^10 + 13*T1^5*T2^10 + 192*T1^6*T2^10 - 
      35*T1^7*T2^10 + 45*T1^8*T2^10 - 29*T1^9*T2^10 + 45*T1^10*T2^10 - 
      35*T1^11*T2^10 + 192*T1^12*T2^10 + 13*T1^13*T2^10 + 87*T1^14*T2^10 + 
      18*T1^15*T2^10 + 14*T1^16*T2^10 - 20*T1^3*T2^11 - 6*T1^4*T2^11 - 
      96*T1^5*T2^11 + 13*T1^6*T2^11 - 181*T1^7*T2^11 + 92*T1^8*T2^11 - 
      35*T1^9*T2^11 - 35*T1^10*T2^11 + 92*T1^11*T2^11 - 181*T1^12*T2^11 + 
      13*T1^13*T2^11 - 96*T1^14*T2^11 - 6*T1^15*T2^11 - 20*T1^16*T2^11 + 
      22*T1^4*T2^12 - 6*T1^5*T2^12 + 87*T1^6*T2^12 - 30*T1^7*T2^12 + 
      154*T1^8*T2^12 - 181*T1^9*T2^12 + 192*T1^10*T2^12 - 181*T1^11*T2^12 + 
      154*T1^12*T2^12 - 30*T1^13*T2^12 + 87*T1^14*T2^12 - 6*T1^15*T2^12 + 
      22*T1^16*T2^12 - 20*T1^5*T2^13 + 18*T1^6*T2^13 - 70*T1^7*T2^13 + 
      20*T1^8*T2^13 - 30*T1^9*T2^13 + 13*T1^10*T2^13 + 13*T1^11*T2^13 - 
      30*T1^12*T2^13 + 20*T1^13*T2^13 - 70*T1^14*T2^13 + 18*T1^15*T2^13 - 
      20*T1^16*T2^13 + 14*T1^6*T2^14 - 24*T1^7*T2^14 + 66*T1^8*T2^14 - 
      70*T1^9*T2^14 + 87*T1^10*T2^14 - 96*T1^11*T2^14 + 87*T1^12*T2^14 - 
      70*T1^13*T2^14 + 66*T1^14*T2^14 - 24*T1^15*T2^14 + 14*T1^16*T2^14 - 
      6*T1^7*T2^15 + 12*T1^8*T2^15 - 24*T1^9*T2^15 + 18*T1^10*T2^15 - 
      6*T1^11*T2^15 - 6*T1^12*T2^15 + 18*T1^13*T2^15 - 24*T1^14*T2^15 + 
      12*T1^15*T2^15 - 6*T1^16*T2^15 + 2*T1^8*T2^16 - 6*T1^9*T2^16 + 
      14*T1^10*T2^16 - 20*T1^11*T2^16 + 22*T1^12*T2^16 - 20*T1^13*T2^16 + 
      14*T1^14*T2^16 - 6*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 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), 
   -((3 - 15*T1 + 27*T1^2 - 36*T1^3 + 39*T1^4 - 36*T1^5 + 27*T1^6 - 15*T1^7 + 
      3*T1^8 - 15*T2 + 60*T1*T2 - 58*T1^2*T2 + 44*T1^3*T2 - 15*T1^4*T2 - 
      15*T1^5*T2 + 44*T1^6*T2 - 58*T1^7*T2 + 60*T1^8*T2 - 15*T1^9*T2 + 
      27*T2^2 - 58*T1*T2^2 - 116*T1^2*T2^2 + 228*T1^3*T2^2 - 323*T1^4*T2^2 + 
      348*T1^5*T2^2 - 323*T1^6*T2^2 + 228*T1^7*T2^2 - 116*T1^8*T2^2 - 
      58*T1^9*T2^2 + 27*T1^10*T2^2 - 36*T2^3 + 44*T1*T2^3 + 228*T1^2*T2^3 - 
      162*T1^3*T2^3 + 139*T1^4*T2^3 - 39*T1^5*T2^3 - 39*T1^6*T2^3 + 
      139*T1^7*T2^3 - 162*T1^8*T2^3 + 228*T1^9*T2^3 + 44*T1^10*T2^3 - 
      36*T1^11*T2^3 + 39*T2^4 - 15*T1*T2^4 - 323*T1^2*T2^4 + 139*T1^3*T2^4 - 
      296*T1^4*T2^4 + 299*T1^5*T2^4 - 344*T1^6*T2^4 + 299*T1^7*T2^4 - 
      296*T1^8*T2^4 + 139*T1^9*T2^4 - 323*T1^10*T2^4 - 15*T1^11*T2^4 + 
      39*T1^12*T2^4 - 36*T2^5 - 15*T1*T2^5 + 348*T1^2*T2^5 - 39*T1^3*T2^5 + 
      299*T1^4*T2^5 - 126*T1^5*T2^5 + 75*T1^6*T2^5 + 75*T1^7*T2^5 - 
      126*T1^8*T2^5 + 299*T1^9*T2^5 - 39*T1^10*T2^5 + 348*T1^11*T2^5 - 
      15*T1^12*T2^5 - 36*T1^13*T2^5 + 27*T2^6 + 44*T1*T2^6 - 323*T1^2*T2^6 - 
      39*T1^3*T2^6 - 344*T1^4*T2^6 + 75*T1^5*T2^6 - 160*T1^6*T2^6 + 
      106*T1^7*T2^6 - 160*T1^8*T2^6 + 75*T1^9*T2^6 - 344*T1^10*T2^6 - 
      39*T1^11*T2^6 - 323*T1^12*T2^6 + 44*T1^13*T2^6 + 27*T1^14*T2^6 - 
      15*T2^7 - 58*T1*T2^7 + 228*T1^2*T2^7 + 139*T1^3*T2^7 + 299*T1^4*T2^7 + 
      75*T1^5*T2^7 + 106*T1^6*T2^7 + 4*T1^7*T2^7 + 4*T1^8*T2^7 + 
      106*T1^9*T2^7 + 75*T1^10*T2^7 + 299*T1^11*T2^7 + 139*T1^12*T2^7 + 
      228*T1^13*T2^7 - 58*T1^14*T2^7 - 15*T1^15*T2^7 + 3*T2^8 + 60*T1*T2^8 - 
      116*T1^2*T2^8 - 162*T1^3*T2^8 - 296*T1^4*T2^8 - 126*T1^5*T2^8 - 
      160*T1^6*T2^8 + 4*T1^7*T2^8 - 48*T1^8*T2^8 + 4*T1^9*T2^8 - 
      160*T1^10*T2^8 - 126*T1^11*T2^8 - 296*T1^12*T2^8 - 162*T1^13*T2^8 - 
      116*T1^14*T2^8 + 60*T1^15*T2^8 + 3*T1^16*T2^8 - 15*T1*T2^9 - 
      58*T1^2*T2^9 + 228*T1^3*T2^9 + 139*T1^4*T2^9 + 299*T1^5*T2^9 + 
      75*T1^6*T2^9 + 106*T1^7*T2^9 + 4*T1^8*T2^9 + 4*T1^9*T2^9 + 
      106*T1^10*T2^9 + 75*T1^11*T2^9 + 299*T1^12*T2^9 + 139*T1^13*T2^9 + 
      228*T1^14*T2^9 - 58*T1^15*T2^9 - 15*T1^16*T2^9 + 27*T1^2*T2^10 + 
      44*T1^3*T2^10 - 323*T1^4*T2^10 - 39*T1^5*T2^10 - 344*T1^6*T2^10 + 
      75*T1^7*T2^10 - 160*T1^8*T2^10 + 106*T1^9*T2^10 - 160*T1^10*T2^10 + 
      75*T1^11*T2^10 - 344*T1^12*T2^10 - 39*T1^13*T2^10 - 323*T1^14*T2^10 + 
      44*T1^15*T2^10 + 27*T1^16*T2^10 - 36*T1^3*T2^11 - 15*T1^4*T2^11 + 
      348*T1^5*T2^11 - 39*T1^6*T2^11 + 299*T1^7*T2^11 - 126*T1^8*T2^11 + 
      75*T1^9*T2^11 + 75*T1^10*T2^11 - 126*T1^11*T2^11 + 299*T1^12*T2^11 - 
      39*T1^13*T2^11 + 348*T1^14*T2^11 - 15*T1^15*T2^11 - 36*T1^16*T2^11 + 
      39*T1^4*T2^12 - 15*T1^5*T2^12 - 323*T1^6*T2^12 + 139*T1^7*T2^12 - 
      296*T1^8*T2^12 + 299*T1^9*T2^12 - 344*T1^10*T2^12 + 299*T1^11*T2^12 - 
      296*T1^12*T2^12 + 139*T1^13*T2^12 - 323*T1^14*T2^12 - 15*T1^15*T2^12 + 
      39*T1^16*T2^12 - 36*T1^5*T2^13 + 44*T1^6*T2^13 + 228*T1^7*T2^13 - 
      162*T1^8*T2^13 + 139*T1^9*T2^13 - 39*T1^10*T2^13 - 39*T1^11*T2^13 + 
      139*T1^12*T2^13 - 162*T1^13*T2^13 + 228*T1^14*T2^13 + 44*T1^15*T2^13 - 
      36*T1^16*T2^13 + 27*T1^6*T2^14 - 58*T1^7*T2^14 - 116*T1^8*T2^14 + 
      228*T1^9*T2^14 - 323*T1^10*T2^14 + 348*T1^11*T2^14 - 323*T1^12*T2^14 + 
      228*T1^13*T2^14 - 116*T1^14*T2^14 - 58*T1^15*T2^14 + 27*T1^16*T2^14 - 
      15*T1^7*T2^15 + 60*T1^8*T2^15 - 58*T1^9*T2^15 + 44*T1^10*T2^15 - 
      15*T1^11*T2^15 - 15*T1^12*T2^15 + 44*T1^13*T2^15 - 58*T1^14*T2^15 + 
      60*T1^15*T2^15 - 15*T1^16*T2^15 + 3*T1^8*T2^16 - 15*T1^9*T2^16 + 
      27*T1^10*T2^16 - 36*T1^11*T2^16 + 39*T1^12*T2^16 - 36*T1^13*T2^16 + 
      27*T1^14*T2^16 - 15*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 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 - 2*T1*T2 + 7*T1^2*T2 - 9*T1^3*T2 + 3*T1^4*T2 + 
      3*T1^5*T2 - 9*T1^6*T2 + 7*T1^7*T2 - 2*T1^8*T2 - 2*T1^9*T2 - 2*T2^2 + 
      7*T1*T2^2 - 3*T1^2*T2^2 - 7*T1^3*T2^2 + 20*T1^4*T2^2 - 25*T1^5*T2^2 + 
      20*T1^6*T2^2 - 7*T1^7*T2^2 - 3*T1^8*T2^2 + 7*T1^9*T2^2 - 2*T1^10*T2^2 + 
      8*T2^3 - 9*T1*T2^3 - 7*T1^2*T2^3 + 26*T1^3*T2^3 - 27*T1^4*T2^3 + 
      12*T1^5*T2^3 + 12*T1^6*T2^3 - 27*T1^7*T2^3 + 26*T1^8*T2^3 - 
      7*T1^9*T2^3 - 9*T1^10*T2^3 + 8*T1^11*T2^3 - 10*T2^4 + 3*T1*T2^4 + 
      20*T1^2*T2^4 - 27*T1^3*T2^4 + 4*T1^4*T2^4 + 18*T1^5*T2^4 - 
      26*T1^6*T2^4 + 18*T1^7*T2^4 + 4*T1^8*T2^4 - 27*T1^9*T2^4 + 
      20*T1^10*T2^4 + 3*T1^11*T2^4 - 10*T1^12*T2^4 + 8*T2^5 + 3*T1*T2^5 - 
      25*T1^2*T2^5 + 12*T1^3*T2^5 + 18*T1^4*T2^5 - 28*T1^5*T2^5 + 
      8*T1^6*T2^5 + 8*T1^7*T2^5 - 28*T1^8*T2^5 + 18*T1^9*T2^5 + 
      12*T1^10*T2^5 - 25*T1^11*T2^5 + 3*T1^12*T2^5 + 8*T1^13*T2^5 - 2*T2^6 - 
      9*T1*T2^6 + 20*T1^2*T2^6 + 12*T1^3*T2^6 - 26*T1^4*T2^6 + 8*T1^5*T2^6 + 
      30*T1^6*T2^6 - 30*T1^7*T2^6 + 30*T1^8*T2^6 + 8*T1^9*T2^6 - 
      26*T1^10*T2^6 + 12*T1^11*T2^6 + 20*T1^12*T2^6 - 9*T1^13*T2^6 - 
      2*T1^14*T2^6 - 2*T2^7 + 7*T1*T2^7 - 7*T1^2*T2^7 - 27*T1^3*T2^7 + 
      18*T1^4*T2^7 + 8*T1^5*T2^7 - 30*T1^6*T2^7 + 4*T1^7*T2^7 + 4*T1^8*T2^7 - 
      30*T1^9*T2^7 + 8*T1^10*T2^7 + 18*T1^11*T2^7 - 27*T1^12*T2^7 - 
      7*T1^13*T2^7 + 7*T1^14*T2^7 - 2*T1^15*T2^7 + 2*T2^8 - 2*T1*T2^8 - 
      3*T1^2*T2^8 + 26*T1^3*T2^8 + 4*T1^4*T2^8 - 28*T1^5*T2^8 + 
      30*T1^6*T2^8 + 4*T1^7*T2^8 + 4*T1^9*T2^8 + 30*T1^10*T2^8 - 
      28*T1^11*T2^8 + 4*T1^12*T2^8 + 26*T1^13*T2^8 - 3*T1^14*T2^8 - 
      2*T1^15*T2^8 + 2*T1^16*T2^8 - 2*T1*T2^9 + 7*T1^2*T2^9 - 7*T1^3*T2^9 - 
      27*T1^4*T2^9 + 18*T1^5*T2^9 + 8*T1^6*T2^9 - 30*T1^7*T2^9 + 
      4*T1^8*T2^9 + 4*T1^9*T2^9 - 30*T1^10*T2^9 + 8*T1^11*T2^9 + 
      18*T1^12*T2^9 - 27*T1^13*T2^9 - 7*T1^14*T2^9 + 7*T1^15*T2^9 - 
      2*T1^16*T2^9 - 2*T1^2*T2^10 - 9*T1^3*T2^10 + 20*T1^4*T2^10 + 
      12*T1^5*T2^10 - 26*T1^6*T2^10 + 8*T1^7*T2^10 + 30*T1^8*T2^10 - 
      30*T1^9*T2^10 + 30*T1^10*T2^10 + 8*T1^11*T2^10 - 26*T1^12*T2^10 + 
      12*T1^13*T2^10 + 20*T1^14*T2^10 - 9*T1^15*T2^10 - 2*T1^16*T2^10 + 
      8*T1^3*T2^11 + 3*T1^4*T2^11 - 25*T1^5*T2^11 + 12*T1^6*T2^11 + 
      18*T1^7*T2^11 - 28*T1^8*T2^11 + 8*T1^9*T2^11 + 8*T1^10*T2^11 - 
      28*T1^11*T2^11 + 18*T1^12*T2^11 + 12*T1^13*T2^11 - 25*T1^14*T2^11 + 
      3*T1^15*T2^11 + 8*T1^16*T2^11 - 10*T1^4*T2^12 + 3*T1^5*T2^12 + 
      20*T1^6*T2^12 - 27*T1^7*T2^12 + 4*T1^8*T2^12 + 18*T1^9*T2^12 - 
      26*T1^10*T2^12 + 18*T1^11*T2^12 + 4*T1^12*T2^12 - 27*T1^13*T2^12 + 
      20*T1^14*T2^12 + 3*T1^15*T2^12 - 10*T1^16*T2^12 + 8*T1^5*T2^13 - 
      9*T1^6*T2^13 - 7*T1^7*T2^13 + 26*T1^8*T2^13 - 27*T1^9*T2^13 + 
      12*T1^10*T2^13 + 12*T1^11*T2^13 - 27*T1^12*T2^13 + 26*T1^13*T2^13 - 
      7*T1^14*T2^13 - 9*T1^15*T2^13 + 8*T1^16*T2^13 - 2*T1^6*T2^14 + 
      7*T1^7*T2^14 - 3*T1^8*T2^14 - 7*T1^9*T2^14 + 20*T1^10*T2^14 - 
      25*T1^11*T2^14 + 20*T1^12*T2^14 - 7*T1^13*T2^14 - 3*T1^14*T2^14 + 
      7*T1^15*T2^14 - 2*T1^16*T2^14 - 2*T1^7*T2^15 - 2*T1^8*T2^15 + 
      7*T1^9*T2^15 - 9*T1^10*T2^15 + 3*T1^11*T2^15 + 3*T1^12*T2^15 - 
      9*T1^13*T2^15 + 7*T1^14*T2^15 - 2*T1^15*T2^15 - 2*T1^16*T2^15 + 
      2*T1^8*T2^16 - 2*T1^9*T2^16 - 2*T1^10*T2^16 + 8*T1^11*T2^16 - 
      10*T1^12*T2^16 + 8*T1^13*T2^16 - 2*T1^14*T2^16 - 2*T1^15*T2^16 + 
      2*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, NonAlternating, 116] -> 
  {(2 - 7*T + 16*T^2 - 21*T^3 + 16*T^4 - 7*T^5 + 2*T^6)/T^3, 
   -((9 - 31*T1 + 71*T1^2 - 93*T1^3 + 71*T1^4 - 31*T1^5 + 9*T1^6 - 31*T2 + 
      76*T1*T2 - 138*T1^2*T2 + 76*T1^3*T2 + 76*T1^4*T2 - 138*T1^5*T2 + 
      76*T1^6*T2 - 31*T1^7*T2 + 71*T2^2 - 138*T1*T2^2 + 332*T1^2*T2^2 - 
      298*T1^3*T2^2 + 220*T1^4*T2^2 - 298*T1^5*T2^2 + 332*T1^6*T2^2 - 
      138*T1^7*T2^2 + 71*T1^8*T2^2 - 93*T2^3 + 76*T1*T2^3 - 298*T1^2*T2^3 - 
      4*T1^3*T2^3 + 89*T1^4*T2^3 + 89*T1^5*T2^3 - 4*T1^6*T2^3 - 
      298*T1^7*T2^3 + 76*T1^8*T2^3 - 93*T1^9*T2^3 + 71*T2^4 + 76*T1*T2^4 + 
      220*T1^2*T2^4 + 89*T1^3*T2^4 + 557*T1^4*T2^4 - 1059*T1^5*T2^4 + 
      557*T1^6*T2^4 + 89*T1^7*T2^4 + 220*T1^8*T2^4 + 76*T1^9*T2^4 + 
      71*T1^10*T2^4 - 31*T2^5 - 138*T1*T2^5 - 298*T1^2*T2^5 + 89*T1^3*T2^5 - 
      1059*T1^4*T2^5 + 690*T1^5*T2^5 + 690*T1^6*T2^5 - 1059*T1^7*T2^5 + 
      89*T1^8*T2^5 - 298*T1^9*T2^5 - 138*T1^10*T2^5 - 31*T1^11*T2^5 + 
      9*T2^6 + 76*T1*T2^6 + 332*T1^2*T2^6 - 4*T1^3*T2^6 + 557*T1^4*T2^6 + 
      690*T1^5*T2^6 - 1596*T1^6*T2^6 + 690*T1^7*T2^6 + 557*T1^8*T2^6 - 
      4*T1^9*T2^6 + 332*T1^10*T2^6 + 76*T1^11*T2^6 + 9*T1^12*T2^6 - 
      31*T1*T2^7 - 138*T1^2*T2^7 - 298*T1^3*T2^7 + 89*T1^4*T2^7 - 
      1059*T1^5*T2^7 + 690*T1^6*T2^7 + 690*T1^7*T2^7 - 1059*T1^8*T2^7 + 
      89*T1^9*T2^7 - 298*T1^10*T2^7 - 138*T1^11*T2^7 - 31*T1^12*T2^7 + 
      71*T1^2*T2^8 + 76*T1^3*T2^8 + 220*T1^4*T2^8 + 89*T1^5*T2^8 + 
      557*T1^6*T2^8 - 1059*T1^7*T2^8 + 557*T1^8*T2^8 + 89*T1^9*T2^8 + 
      220*T1^10*T2^8 + 76*T1^11*T2^8 + 71*T1^12*T2^8 - 93*T1^3*T2^9 + 
      76*T1^4*T2^9 - 298*T1^5*T2^9 - 4*T1^6*T2^9 + 89*T1^7*T2^9 + 
      89*T1^8*T2^9 - 4*T1^9*T2^9 - 298*T1^10*T2^9 + 76*T1^11*T2^9 - 
      93*T1^12*T2^9 + 71*T1^4*T2^10 - 138*T1^5*T2^10 + 332*T1^6*T2^10 - 
      298*T1^7*T2^10 + 220*T1^8*T2^10 - 298*T1^9*T2^10 + 332*T1^10*T2^10 - 
      138*T1^11*T2^10 + 71*T1^12*T2^10 - 31*T1^5*T2^11 + 76*T1^6*T2^11 - 
      138*T1^7*T2^11 + 76*T1^8*T2^11 + 76*T1^9*T2^11 - 138*T1^10*T2^11 + 
      76*T1^11*T2^11 - 31*T1^12*T2^11 + 9*T1^6*T2^12 - 31*T1^7*T2^12 + 
      71*T1^8*T2^12 - 93*T1^9*T2^12 + 71*T1^10*T2^12 - 31*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 117] -> 
  {-((2 - 11*T + 22*T^2 - 27*T^3 + 22*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((17 - 93*T1 + 185*T1^2 - 227*T1^3 + 185*T1^4 - 93*T1^5 + 17*T1^6 - 
      93*T2 + 416*T1*T2 - 488*T1^2*T2 + 218*T1^3*T2 + 218*T1^4*T2 - 
      488*T1^5*T2 + 416*T1^6*T2 - 93*T1^7*T2 + 185*T2^2 - 488*T1*T2^2 - 
      683*T1^2*T2^2 + 2156*T1^3*T2^2 - 2839*T1^4*T2^2 + 2156*T1^5*T2^2 - 
      683*T1^6*T2^2 - 488*T1^7*T2^2 + 185*T1^8*T2^2 - 227*T2^3 + 
      218*T1*T2^3 + 2156*T1^2*T2^3 - 2720*T1^3*T2^3 + 1260*T1^4*T2^3 + 
      1260*T1^5*T2^3 - 2720*T1^6*T2^3 + 2156*T1^7*T2^3 + 218*T1^8*T2^3 - 
      227*T1^9*T2^3 + 185*T2^4 + 218*T1*T2^4 - 2839*T1^2*T2^4 + 
      1260*T1^3*T2^4 + 934*T1^4*T2^4 - 2136*T1^5*T2^4 + 934*T1^6*T2^4 + 
      1260*T1^7*T2^4 - 2839*T1^8*T2^4 + 218*T1^9*T2^4 + 185*T1^10*T2^4 - 
      93*T2^5 - 488*T1*T2^5 + 2156*T1^2*T2^5 + 1260*T1^3*T2^5 - 
      2136*T1^4*T2^5 + 1180*T1^5*T2^5 + 1180*T1^6*T2^5 - 2136*T1^7*T2^5 + 
      1260*T1^8*T2^5 + 2156*T1^9*T2^5 - 488*T1^10*T2^5 - 93*T1^11*T2^5 + 
      17*T2^6 + 416*T1*T2^6 - 683*T1^2*T2^6 - 2720*T1^3*T2^6 + 
      934*T1^4*T2^6 + 1180*T1^5*T2^6 - 2508*T1^6*T2^6 + 1180*T1^7*T2^6 + 
      934*T1^8*T2^6 - 2720*T1^9*T2^6 - 683*T1^10*T2^6 + 416*T1^11*T2^6 + 
      17*T1^12*T2^6 - 93*T1*T2^7 - 488*T1^2*T2^7 + 2156*T1^3*T2^7 + 
      1260*T1^4*T2^7 - 2136*T1^5*T2^7 + 1180*T1^6*T2^7 + 1180*T1^7*T2^7 - 
      2136*T1^8*T2^7 + 1260*T1^9*T2^7 + 2156*T1^10*T2^7 - 488*T1^11*T2^7 - 
      93*T1^12*T2^7 + 185*T1^2*T2^8 + 218*T1^3*T2^8 - 2839*T1^4*T2^8 + 
      1260*T1^5*T2^8 + 934*T1^6*T2^8 - 2136*T1^7*T2^8 + 934*T1^8*T2^8 + 
      1260*T1^9*T2^8 - 2839*T1^10*T2^8 + 218*T1^11*T2^8 + 185*T1^12*T2^8 - 
      227*T1^3*T2^9 + 218*T1^4*T2^9 + 2156*T1^5*T2^9 - 2720*T1^6*T2^9 + 
      1260*T1^7*T2^9 + 1260*T1^8*T2^9 - 2720*T1^9*T2^9 + 2156*T1^10*T2^9 + 
      218*T1^11*T2^9 - 227*T1^12*T2^9 + 185*T1^4*T2^10 - 488*T1^5*T2^10 - 
      683*T1^6*T2^10 + 2156*T1^7*T2^10 - 2839*T1^8*T2^10 + 2156*T1^9*T2^10 - 
      683*T1^10*T2^10 - 488*T1^11*T2^10 + 185*T1^12*T2^10 - 93*T1^5*T2^11 + 
      416*T1^6*T2^11 - 488*T1^7*T2^11 + 218*T1^8*T2^11 + 218*T1^9*T2^11 - 
      488*T1^10*T2^11 + 416*T1^11*T2^11 - 93*T1^12*T2^11 + 17*T1^6*T2^12 - 
      93*T1^7*T2^12 + 185*T1^8*T2^12 - 227*T1^9*T2^12 + 185*T1^10*T2^12 - 
      93*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 118] -> {((2 - 3*T + 2*T^2)*(1 - T^2 + T^4))/T^3, 
   -((9 - 13*T1 - T1^2 + 15*T1^3 - T1^4 - 13*T1^5 + 9*T1^6 - 13*T2 - 
      10*T1*T2 + 48*T1^2*T2 - 36*T1^3*T2 - 36*T1^4*T2 + 48*T1^5*T2 - 
      10*T1^6*T2 - 13*T1^7*T2 - T2^2 + 48*T1*T2^2 - 46*T1^2*T2^2 - 
      24*T1^3*T2^2 + 84*T1^4*T2^2 - 24*T1^5*T2^2 - 46*T1^6*T2^2 + 
      48*T1^7*T2^2 - T1^8*T2^2 + 15*T2^3 - 36*T1*T2^3 - 24*T1^2*T2^3 + 
      98*T1^3*T2^3 - 61*T1^4*T2^3 - 61*T1^5*T2^3 + 98*T1^6*T2^3 - 
      24*T1^7*T2^3 - 36*T1^8*T2^3 + 15*T1^9*T2^3 - T2^4 - 36*T1*T2^4 + 
      84*T1^2*T2^4 - 61*T1^3*T2^4 - 97*T1^4*T2^4 + 185*T1^5*T2^4 - 
      97*T1^6*T2^4 - 61*T1^7*T2^4 + 84*T1^8*T2^4 - 36*T1^9*T2^4 - 
      T1^10*T2^4 - 13*T2^5 + 48*T1*T2^5 - 24*T1^2*T2^5 - 61*T1^3*T2^5 + 
      185*T1^4*T2^5 - 102*T1^5*T2^5 - 102*T1^6*T2^5 + 185*T1^7*T2^5 - 
      61*T1^8*T2^5 - 24*T1^9*T2^5 + 48*T1^10*T2^5 - 13*T1^11*T2^5 + 9*T2^6 - 
      10*T1*T2^6 - 46*T1^2*T2^6 + 98*T1^3*T2^6 - 97*T1^4*T2^6 - 
      102*T1^5*T2^6 + 228*T1^6*T2^6 - 102*T1^7*T2^6 - 97*T1^8*T2^6 + 
      98*T1^9*T2^6 - 46*T1^10*T2^6 - 10*T1^11*T2^6 + 9*T1^12*T2^6 - 
      13*T1*T2^7 + 48*T1^2*T2^7 - 24*T1^3*T2^7 - 61*T1^4*T2^7 + 
      185*T1^5*T2^7 - 102*T1^6*T2^7 - 102*T1^7*T2^7 + 185*T1^8*T2^7 - 
      61*T1^9*T2^7 - 24*T1^10*T2^7 + 48*T1^11*T2^7 - 13*T1^12*T2^7 - 
      T1^2*T2^8 - 36*T1^3*T2^8 + 84*T1^4*T2^8 - 61*T1^5*T2^8 - 97*T1^6*T2^8 + 
      185*T1^7*T2^8 - 97*T1^8*T2^8 - 61*T1^9*T2^8 + 84*T1^10*T2^8 - 
      36*T1^11*T2^8 - T1^12*T2^8 + 15*T1^3*T2^9 - 36*T1^4*T2^9 - 
      24*T1^5*T2^9 + 98*T1^6*T2^9 - 61*T1^7*T2^9 - 61*T1^8*T2^9 + 
      98*T1^9*T2^9 - 24*T1^10*T2^9 - 36*T1^11*T2^9 + 15*T1^12*T2^9 - 
      T1^4*T2^10 + 48*T1^5*T2^10 - 46*T1^6*T2^10 - 24*T1^7*T2^10 + 
      84*T1^8*T2^10 - 24*T1^9*T2^10 - 46*T1^10*T2^10 + 48*T1^11*T2^10 - 
      T1^12*T2^10 - 13*T1^5*T2^11 - 10*T1^6*T2^11 + 48*T1^7*T2^11 - 
      36*T1^8*T2^11 - 36*T1^9*T2^11 + 48*T1^10*T2^11 - 10*T1^11*T2^11 - 
      13*T1^12*T2^11 + 9*T1^6*T2^12 - 13*T1^7*T2^12 - T1^8*T2^12 + 
      15*T1^9*T2^12 - T1^10*T2^12 - 13*T1^11*T2^12 + 9*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, NonAlternating, 119] -> 
  {-((1 - 3*T + 3*T^2 - 3*T^3 + 3*T^4 - 3*T^5 + T^6)/T^3), 
   -((2 - 6*T1 + 6*T1^2 - 6*T1^3 + 6*T1^4 - 6*T1^5 + 2*T1^6 - 6*T2 + 
      12*T1*T2 + 12*T1^6*T2 - 6*T1^7*T2 + 6*T2^2 - 28*T1^2*T2^2 + 
      13*T1^3*T2^2 - 10*T1^4*T2^2 + 13*T1^5*T2^2 - 28*T1^6*T2^2 + 
      6*T1^8*T2^2 - 6*T2^3 + 13*T1^2*T2^3 + 16*T1^3*T2^3 - 6*T1^4*T2^3 - 
      6*T1^5*T2^3 + 16*T1^6*T2^3 + 13*T1^7*T2^3 - 6*T1^9*T2^3 + 6*T2^4 - 
      10*T1^2*T2^4 - 6*T1^3*T2^4 + 11*T1^4*T2^4 - 21*T1^5*T2^4 + 
      11*T1^6*T2^4 - 6*T1^7*T2^4 - 10*T1^8*T2^4 + 6*T1^10*T2^4 - 6*T2^5 + 
      13*T1^2*T2^5 - 6*T1^3*T2^5 - 21*T1^4*T2^5 + 14*T1^5*T2^5 + 
      14*T1^6*T2^5 - 21*T1^7*T2^5 - 6*T1^8*T2^5 + 13*T1^9*T2^5 - 
      6*T1^11*T2^5 + 2*T2^6 + 12*T1*T2^6 - 28*T1^2*T2^6 + 16*T1^3*T2^6 + 
      11*T1^4*T2^6 + 14*T1^5*T2^6 - 24*T1^6*T2^6 + 14*T1^7*T2^6 + 
      11*T1^8*T2^6 + 16*T1^9*T2^6 - 28*T1^10*T2^6 + 12*T1^11*T2^6 + 
      2*T1^12*T2^6 - 6*T1*T2^7 + 13*T1^3*T2^7 - 6*T1^4*T2^7 - 21*T1^5*T2^7 + 
      14*T1^6*T2^7 + 14*T1^7*T2^7 - 21*T1^8*T2^7 - 6*T1^9*T2^7 + 
      13*T1^10*T2^7 - 6*T1^12*T2^7 + 6*T1^2*T2^8 - 10*T1^4*T2^8 - 
      6*T1^5*T2^8 + 11*T1^6*T2^8 - 21*T1^7*T2^8 + 11*T1^8*T2^8 - 
      6*T1^9*T2^8 - 10*T1^10*T2^8 + 6*T1^12*T2^8 - 6*T1^3*T2^9 + 
      13*T1^5*T2^9 + 16*T1^6*T2^9 - 6*T1^7*T2^9 - 6*T1^8*T2^9 + 
      16*T1^9*T2^9 + 13*T1^10*T2^9 - 6*T1^12*T2^9 + 6*T1^4*T2^10 - 
      28*T1^6*T2^10 + 13*T1^7*T2^10 - 10*T1^8*T2^10 + 13*T1^9*T2^10 - 
      28*T1^10*T2^10 + 6*T1^12*T2^10 - 6*T1^5*T2^11 + 12*T1^6*T2^11 + 
      12*T1^11*T2^11 - 6*T1^12*T2^11 + 2*T1^6*T2^12 - 6*T1^7*T2^12 + 
      6*T1^8*T2^12 - 6*T1^9*T2^12 + 6*T1^10*T2^12 - 6*T1^11*T2^12 + 
      2*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 120] -> 
  {(1 - 2*T + 4*T^2 - 5*T^3 + 4*T^4 - 2*T^5 + T^6)/T^3, 
   -((1 - 2*T1 + 4*T1^2 - 5*T1^3 + 4*T1^4 - 2*T1^5 + T1^6 - 2*T2 + 4*T1*T2 - 
      6*T1^2*T2 + 3*T1^3*T2 + 3*T1^4*T2 - 6*T1^5*T2 + 4*T1^6*T2 - 2*T1^7*T2 + 
      4*T2^2 - 6*T1*T2^2 + 21*T1^2*T2^2 - 33*T1^3*T2^2 + 39*T1^4*T2^2 - 
      33*T1^5*T2^2 + 21*T1^6*T2^2 - 6*T1^7*T2^2 + 4*T1^8*T2^2 - 5*T2^3 + 
      3*T1*T2^3 - 33*T1^2*T2^3 + 32*T1^3*T2^3 - 17*T1^4*T2^3 - 17*T1^5*T2^3 + 
      32*T1^6*T2^3 - 33*T1^7*T2^3 + 3*T1^8*T2^3 - 5*T1^9*T2^3 + 4*T2^4 + 
      3*T1*T2^4 + 39*T1^2*T2^4 - 17*T1^3*T2^4 + 20*T1^4*T2^4 - 6*T1^5*T2^4 + 
      20*T1^6*T2^4 - 17*T1^7*T2^4 + 39*T1^8*T2^4 + 3*T1^9*T2^4 + 
      4*T1^10*T2^4 - 2*T2^5 - 6*T1*T2^5 - 33*T1^2*T2^5 - 17*T1^3*T2^5 - 
      6*T1^4*T2^5 - 10*T1^5*T2^5 - 10*T1^6*T2^5 - 6*T1^7*T2^5 - 
      17*T1^8*T2^5 - 33*T1^9*T2^5 - 6*T1^10*T2^5 - 2*T1^11*T2^5 + T2^6 + 
      4*T1*T2^6 + 21*T1^2*T2^6 + 32*T1^3*T2^6 + 20*T1^4*T2^6 - 10*T1^5*T2^6 + 
      36*T1^6*T2^6 - 10*T1^7*T2^6 + 20*T1^8*T2^6 + 32*T1^9*T2^6 + 
      21*T1^10*T2^6 + 4*T1^11*T2^6 + T1^12*T2^6 - 2*T1*T2^7 - 6*T1^2*T2^7 - 
      33*T1^3*T2^7 - 17*T1^4*T2^7 - 6*T1^5*T2^7 - 10*T1^6*T2^7 - 
      10*T1^7*T2^7 - 6*T1^8*T2^7 - 17*T1^9*T2^7 - 33*T1^10*T2^7 - 
      6*T1^11*T2^7 - 2*T1^12*T2^7 + 4*T1^2*T2^8 + 3*T1^3*T2^8 + 
      39*T1^4*T2^8 - 17*T1^5*T2^8 + 20*T1^6*T2^8 - 6*T1^7*T2^8 + 
      20*T1^8*T2^8 - 17*T1^9*T2^8 + 39*T1^10*T2^8 + 3*T1^11*T2^8 + 
      4*T1^12*T2^8 - 5*T1^3*T2^9 + 3*T1^4*T2^9 - 33*T1^5*T2^9 + 
      32*T1^6*T2^9 - 17*T1^7*T2^9 - 17*T1^8*T2^9 + 32*T1^9*T2^9 - 
      33*T1^10*T2^9 + 3*T1^11*T2^9 - 5*T1^12*T2^9 + 4*T1^4*T2^10 - 
      6*T1^5*T2^10 + 21*T1^6*T2^10 - 33*T1^7*T2^10 + 39*T1^8*T2^10 - 
      33*T1^9*T2^10 + 21*T1^10*T2^10 - 6*T1^11*T2^10 + 4*T1^12*T2^10 - 
      2*T1^5*T2^11 + 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*T1^12*T2^11 + 
      T1^6*T2^12 - 2*T1^7*T2^12 + 4*T1^8*T2^12 - 5*T1^9*T2^12 + 
      4*T1^10*T2^12 - 2*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 121] -> {(1 - T^2 + T^4)/T^2, 
   -((8 - 5*T1 - 5*T1^2 + 8*T1^3 - 5*T2 - T1*T2 + 5*T1^2*T2 - T1^3*T2 - 
      5*T1^4*T2 - 5*T2^2 + 5*T1*T2^2 - 4*T1^2*T2^2 - 4*T1^3*T2^2 + 
      5*T1^4*T2^2 - 5*T1^5*T2^2 + 8*T2^3 - T1*T2^3 - 4*T1^2*T2^3 + 
      12*T1^3*T2^3 - 4*T1^4*T2^3 - T1^5*T2^3 + 8*T1^6*T2^3 - 5*T1*T2^4 + 
      5*T1^2*T2^4 - 4*T1^3*T2^4 - 4*T1^4*T2^4 + 5*T1^5*T2^4 - 5*T1^6*T2^4 - 
      5*T1^2*T2^5 - T1^3*T2^5 + 5*T1^4*T2^5 - T1^5*T2^5 - 5*T1^6*T2^5 + 
      8*T1^3*T2^6 - 5*T1^4*T2^6 - 5*T1^5*T2^6 + 8*T1^6*T2^6)/(T1^3*T2^3))}, 
 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), -((1 - 6*T1 + 14*T1^2 - 21*T1^3 + 23*T1^4 - 21*T1^5 + 14*T1^6 - 
      6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 48*T1^2*T2 + 42*T1^3*T2 - 
      12*T1^4*T2 - 12*T1^5*T2 + 42*T1^6*T2 - 48*T1^7*T2 + 30*T1^8*T2 - 
      6*T1^9*T2 + 14*T2^2 - 48*T1*T2^2 - 7*T1^2*T2^2 + 130*T1^3*T2^2 - 
      245*T1^4*T2^2 + 249*T1^5*T2^2 - 245*T1^6*T2^2 + 130*T1^7*T2^2 - 
      7*T1^8*T2^2 - 48*T1^9*T2^2 + 14*T1^10*T2^2 - 21*T2^3 + 42*T1*T2^3 + 
      130*T1^2*T2^3 - 278*T1^3*T2^3 + 271*T1^4*T2^3 - 48*T1^5*T2^3 - 
      48*T1^6*T2^3 + 271*T1^7*T2^3 - 278*T1^8*T2^3 + 130*T1^9*T2^3 + 
      42*T1^10*T2^3 - 21*T1^11*T2^3 + 23*T2^4 - 12*T1*T2^4 - 245*T1^2*T2^4 + 
      271*T1^3*T2^4 - 58*T1^4*T2^4 - 291*T1^5*T2^4 + 240*T1^6*T2^4 - 
      291*T1^7*T2^4 - 58*T1^8*T2^4 + 271*T1^9*T2^4 - 245*T1^10*T2^4 - 
      12*T1^11*T2^4 + 23*T1^12*T2^4 - 21*T2^5 - 12*T1*T2^5 + 249*T1^2*T2^5 - 
      48*T1^3*T2^5 - 291*T1^4*T2^5 + 486*T1^5*T2^5 - 92*T1^6*T2^5 - 
      92*T1^7*T2^5 + 486*T1^8*T2^5 - 291*T1^9*T2^5 - 48*T1^10*T2^5 + 
      249*T1^11*T2^5 - 12*T1^12*T2^5 - 21*T1^13*T2^5 + 14*T2^6 + 42*T1*T2^6 - 
      245*T1^2*T2^6 - 48*T1^3*T2^6 + 240*T1^4*T2^6 - 92*T1^5*T2^6 - 
      463*T1^6*T2^6 + 521*T1^7*T2^6 - 463*T1^8*T2^6 - 92*T1^9*T2^6 + 
      240*T1^10*T2^6 - 48*T1^11*T2^6 - 245*T1^12*T2^6 + 42*T1^13*T2^6 + 
      14*T1^14*T2^6 - 6*T2^7 - 48*T1*T2^7 + 130*T1^2*T2^7 + 271*T1^3*T2^7 - 
      291*T1^4*T2^7 - 92*T1^5*T2^7 + 521*T1^6*T2^7 - 216*T1^7*T2^7 - 
      216*T1^8*T2^7 + 521*T1^9*T2^7 - 92*T1^10*T2^7 - 291*T1^11*T2^7 + 
      271*T1^12*T2^7 + 130*T1^13*T2^7 - 48*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 
      30*T1*T2^8 - 7*T1^2*T2^8 - 278*T1^3*T2^8 - 58*T1^4*T2^8 + 
      486*T1^5*T2^8 - 463*T1^6*T2^8 - 216*T1^7*T2^8 + 504*T1^8*T2^8 - 
      216*T1^9*T2^8 - 463*T1^10*T2^8 + 486*T1^11*T2^8 - 58*T1^12*T2^8 - 
      278*T1^13*T2^8 - 7*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 
      6*T1*T2^9 - 48*T1^2*T2^9 + 130*T1^3*T2^9 + 271*T1^4*T2^9 - 
      291*T1^5*T2^9 - 92*T1^6*T2^9 + 521*T1^7*T2^9 - 216*T1^8*T2^9 - 
      216*T1^9*T2^9 + 521*T1^10*T2^9 - 92*T1^11*T2^9 - 291*T1^12*T2^9 + 
      271*T1^13*T2^9 + 130*T1^14*T2^9 - 48*T1^15*T2^9 - 6*T1^16*T2^9 + 
      14*T1^2*T2^10 + 42*T1^3*T2^10 - 245*T1^4*T2^10 - 48*T1^5*T2^10 + 
      240*T1^6*T2^10 - 92*T1^7*T2^10 - 463*T1^8*T2^10 + 521*T1^9*T2^10 - 
      463*T1^10*T2^10 - 92*T1^11*T2^10 + 240*T1^12*T2^10 - 48*T1^13*T2^10 - 
      245*T1^14*T2^10 + 42*T1^15*T2^10 + 14*T1^16*T2^10 - 21*T1^3*T2^11 - 
      12*T1^4*T2^11 + 249*T1^5*T2^11 - 48*T1^6*T2^11 - 291*T1^7*T2^11 + 
      486*T1^8*T2^11 - 92*T1^9*T2^11 - 92*T1^10*T2^11 + 486*T1^11*T2^11 - 
      291*T1^12*T2^11 - 48*T1^13*T2^11 + 249*T1^14*T2^11 - 12*T1^15*T2^11 - 
      21*T1^16*T2^11 + 23*T1^4*T2^12 - 12*T1^5*T2^12 - 245*T1^6*T2^12 + 
      271*T1^7*T2^12 - 58*T1^8*T2^12 - 291*T1^9*T2^12 + 240*T1^10*T2^12 - 
      291*T1^11*T2^12 - 58*T1^12*T2^12 + 271*T1^13*T2^12 - 245*T1^14*T2^12 - 
      12*T1^15*T2^12 + 23*T1^16*T2^12 - 21*T1^5*T2^13 + 42*T1^6*T2^13 + 
      130*T1^7*T2^13 - 278*T1^8*T2^13 + 271*T1^9*T2^13 - 48*T1^10*T2^13 - 
      48*T1^11*T2^13 + 271*T1^12*T2^13 - 278*T1^13*T2^13 + 130*T1^14*T2^13 + 
      42*T1^15*T2^13 - 21*T1^16*T2^13 + 14*T1^6*T2^14 - 48*T1^7*T2^14 - 
      7*T1^8*T2^14 + 130*T1^9*T2^14 - 245*T1^10*T2^14 + 249*T1^11*T2^14 - 
      245*T1^12*T2^14 + 130*T1^13*T2^14 - 7*T1^14*T2^14 - 48*T1^15*T2^14 + 
      14*T1^16*T2^14 - 6*T1^7*T2^15 + 30*T1^8*T2^15 - 48*T1^9*T2^15 + 
      42*T1^10*T2^15 - 12*T1^11*T2^15 - 12*T1^12*T2^15 + 42*T1^13*T2^15 - 
      48*T1^14*T2^15 + 30*T1^15*T2^15 - 6*T1^16*T2^15 + T1^8*T2^16 - 
      6*T1^9*T2^16 + 14*T1^10*T2^16 - 21*T1^11*T2^16 + 23*T1^12*T2^16 - 
      21*T1^13*T2^16 + 14*T1^14*T2^16 - 6*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, NonAlternating, 123] -> 
  {-((2 - 14*T + 34*T^2 - 45*T^3 + 34*T^4 - 14*T^5 + 2*T^6)/T^3), 
   -((17 - 118*T1 + 284*T1^2 - 375*T1^3 + 284*T1^4 - 118*T1^5 + 17*T1^6 - 
      118*T2 + 708*T1*T2 - 1163*T1^2*T2 + 639*T1^3*T2 + 639*T1^4*T2 - 
      1163*T1^5*T2 + 708*T1^6*T2 - 118*T1^7*T2 + 284*T2^2 - 1163*T1*T2^2 - 
      709*T1^2*T2^2 + 5619*T1^3*T2^2 - 8841*T1^4*T2^2 + 5619*T1^5*T2^2 - 
      709*T1^6*T2^2 - 1163*T1^7*T2^2 + 284*T1^8*T2^2 - 375*T2^3 + 
      639*T1*T2^3 + 5619*T1^2*T2^3 - 11736*T1^3*T2^3 + 7149*T1^4*T2^3 + 
      7149*T1^5*T2^3 - 11736*T1^6*T2^3 + 5619*T1^7*T2^3 + 639*T1^8*T2^3 - 
      375*T1^9*T2^3 + 284*T2^4 + 639*T1*T2^4 - 8841*T1^2*T2^4 + 
      7149*T1^3*T2^4 + 9447*T1^4*T2^4 - 23039*T1^5*T2^4 + 9447*T1^6*T2^4 + 
      7149*T1^7*T2^4 - 8841*T1^8*T2^4 + 639*T1^9*T2^4 + 284*T1^10*T2^4 - 
      118*T2^5 - 1163*T1*T2^5 + 5619*T1^2*T2^5 + 7149*T1^3*T2^5 - 
      23039*T1^4*T2^5 + 15990*T1^5*T2^5 + 15990*T1^6*T2^5 - 23039*T1^7*T2^5 + 
      7149*T1^8*T2^5 + 5619*T1^9*T2^5 - 1163*T1^10*T2^5 - 118*T1^11*T2^5 + 
      17*T2^6 + 708*T1*T2^6 - 709*T1^2*T2^6 - 11736*T1^3*T2^6 + 
      9447*T1^4*T2^6 + 15990*T1^5*T2^6 - 37692*T1^6*T2^6 + 15990*T1^7*T2^6 + 
      9447*T1^8*T2^6 - 11736*T1^9*T2^6 - 709*T1^10*T2^6 + 708*T1^11*T2^6 + 
      17*T1^12*T2^6 - 118*T1*T2^7 - 1163*T1^2*T2^7 + 5619*T1^3*T2^7 + 
      7149*T1^4*T2^7 - 23039*T1^5*T2^7 + 15990*T1^6*T2^7 + 15990*T1^7*T2^7 - 
      23039*T1^8*T2^7 + 7149*T1^9*T2^7 + 5619*T1^10*T2^7 - 1163*T1^11*T2^7 - 
      118*T1^12*T2^7 + 284*T1^2*T2^8 + 639*T1^3*T2^8 - 8841*T1^4*T2^8 + 
      7149*T1^5*T2^8 + 9447*T1^6*T2^8 - 23039*T1^7*T2^8 + 9447*T1^8*T2^8 + 
      7149*T1^9*T2^8 - 8841*T1^10*T2^8 + 639*T1^11*T2^8 + 284*T1^12*T2^8 - 
      375*T1^3*T2^9 + 639*T1^4*T2^9 + 5619*T1^5*T2^9 - 11736*T1^6*T2^9 + 
      7149*T1^7*T2^9 + 7149*T1^8*T2^9 - 11736*T1^9*T2^9 + 5619*T1^10*T2^9 + 
      639*T1^11*T2^9 - 375*T1^12*T2^9 + 284*T1^4*T2^10 - 1163*T1^5*T2^10 - 
      709*T1^6*T2^10 + 5619*T1^7*T2^10 - 8841*T1^8*T2^10 + 5619*T1^9*T2^10 - 
      709*T1^10*T2^10 - 1163*T1^11*T2^10 + 284*T1^12*T2^10 - 118*T1^5*T2^11 + 
      708*T1^6*T2^11 - 1163*T1^7*T2^11 + 639*T1^8*T2^11 + 639*T1^9*T2^11 - 
      1163*T1^10*T2^11 + 708*T1^11*T2^11 - 118*T1^12*T2^11 + 17*T1^6*T2^12 - 
      118*T1^7*T2^12 + 284*T1^8*T2^12 - 375*T1^9*T2^12 + 284*T1^10*T2^12 - 
      118*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 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 + 19*T1^2*T2^2 - 15*T1^3*T2^2 + 19*T1^4*T2^2 - 3*T1^5*T2^2 + 
     2*T1^6*T2^2 - 3*T1*T2^3 - 15*T1^2*T2^3 + 2*T1^3*T2^3 + 2*T1^4*T2^3 - 
     15*T1^5*T2^3 - 3*T1^6*T2^3 - 2*T1*T2^4 + 19*T1^2*T2^4 + 2*T1^3*T2^4 + 
     2*T1^5*T2^4 + 19*T1^6*T2^4 - 2*T1^7*T2^4 - 3*T1^2*T2^5 - 15*T1^3*T2^5 + 
     2*T1^4*T2^5 + 2*T1^5*T2^5 - 15*T1^6*T2^5 - 3*T1^7*T2^5 + 2*T1^2*T2^6 - 
     3*T1^3*T2^6 + 19*T1^4*T2^6 - 15*T1^5*T2^6 + 19*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)/(T1^4*T2^4)}, 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, 
   (2 - 12*T1 + 28*T1^2 - 34*T1^3 + 34*T1^4 - 34*T1^5 + 28*T1^6 - 12*T1^7 + 
     2*T1^8 - 12*T2 + 60*T1*T2 - 96*T1^2*T2 + 36*T1^3*T2 + 36*T1^6*T2 - 
     96*T1^7*T2 + 60*T1^8*T2 - 12*T1^9*T2 + 28*T2^2 - 96*T1*T2^2 - 
     13*T1^2*T2^2 + 368*T1^3*T2^2 - 363*T1^4*T2^2 + 279*T1^5*T2^2 - 
     363*T1^6*T2^2 + 368*T1^7*T2^2 - 13*T1^8*T2^2 - 96*T1^9*T2^2 + 
     28*T1^10*T2^2 - 34*T2^3 + 36*T1*T2^3 + 368*T1^2*T2^3 - 812*T1^3*T2^3 + 
     151*T1^4*T2^3 + 98*T1^5*T2^3 + 98*T1^6*T2^3 + 151*T1^7*T2^3 - 
     812*T1^8*T2^3 + 368*T1^9*T2^3 + 36*T1^10*T2^3 - 34*T1^11*T2^3 + 
     34*T2^4 - 363*T1^2*T2^4 + 151*T1^3*T2^4 + 1376*T1^4*T2^4 - 
     1189*T1^5*T2^4 + 744*T1^6*T2^4 - 1189*T1^7*T2^4 + 1376*T1^8*T2^4 + 
     151*T1^9*T2^4 - 363*T1^10*T2^4 + 34*T1^12*T2^4 - 34*T2^5 + 
     279*T1^2*T2^5 + 98*T1^3*T2^5 - 1189*T1^4*T2^5 + 16*T1^5*T2^5 + 
     283*T1^6*T2^5 + 283*T1^7*T2^5 + 16*T1^8*T2^5 - 1189*T1^9*T2^5 + 
     98*T1^10*T2^5 + 279*T1^11*T2^5 - 34*T1^13*T2^5 + 28*T2^6 + 36*T1*T2^6 - 
     363*T1^2*T2^6 + 98*T1^3*T2^6 + 744*T1^4*T2^6 + 283*T1^5*T2^6 + 
     48*T1^6*T2^6 - 450*T1^7*T2^6 + 48*T1^8*T2^6 + 283*T1^9*T2^6 + 
     744*T1^10*T2^6 + 98*T1^11*T2^6 - 363*T1^12*T2^6 + 36*T1^13*T2^6 + 
     28*T1^14*T2^6 - 12*T2^7 - 96*T1*T2^7 + 368*T1^2*T2^7 + 151*T1^3*T2^7 - 
     1189*T1^4*T2^7 + 283*T1^5*T2^7 - 450*T1^6*T2^7 + 240*T1^7*T2^7 + 
     240*T1^8*T2^7 - 450*T1^9*T2^7 + 283*T1^10*T2^7 - 1189*T1^11*T2^7 + 
     151*T1^12*T2^7 + 368*T1^13*T2^7 - 96*T1^14*T2^7 - 12*T1^15*T2^7 + 
     2*T2^8 + 60*T1*T2^8 - 13*T1^2*T2^8 - 812*T1^3*T2^8 + 1376*T1^4*T2^8 + 
     16*T1^5*T2^8 + 48*T1^6*T2^8 + 240*T1^7*T2^8 - 384*T1^8*T2^8 + 
     240*T1^9*T2^8 + 48*T1^10*T2^8 + 16*T1^11*T2^8 + 1376*T1^12*T2^8 - 
     812*T1^13*T2^8 - 13*T1^14*T2^8 + 60*T1^15*T2^8 + 2*T1^16*T2^8 - 
     12*T1*T2^9 - 96*T1^2*T2^9 + 368*T1^3*T2^9 + 151*T1^4*T2^9 - 
     1189*T1^5*T2^9 + 283*T1^6*T2^9 - 450*T1^7*T2^9 + 240*T1^8*T2^9 + 
     240*T1^9*T2^9 - 450*T1^10*T2^9 + 283*T1^11*T2^9 - 1189*T1^12*T2^9 + 
     151*T1^13*T2^9 + 368*T1^14*T2^9 - 96*T1^15*T2^9 - 12*T1^16*T2^9 + 
     28*T1^2*T2^10 + 36*T1^3*T2^10 - 363*T1^4*T2^10 + 98*T1^5*T2^10 + 
     744*T1^6*T2^10 + 283*T1^7*T2^10 + 48*T1^8*T2^10 - 450*T1^9*T2^10 + 
     48*T1^10*T2^10 + 283*T1^11*T2^10 + 744*T1^12*T2^10 + 98*T1^13*T2^10 - 
     363*T1^14*T2^10 + 36*T1^15*T2^10 + 28*T1^16*T2^10 - 34*T1^3*T2^11 + 
     279*T1^5*T2^11 + 98*T1^6*T2^11 - 1189*T1^7*T2^11 + 16*T1^8*T2^11 + 
     283*T1^9*T2^11 + 283*T1^10*T2^11 + 16*T1^11*T2^11 - 1189*T1^12*T2^11 + 
     98*T1^13*T2^11 + 279*T1^14*T2^11 - 34*T1^16*T2^11 + 34*T1^4*T2^12 - 
     363*T1^6*T2^12 + 151*T1^7*T2^12 + 1376*T1^8*T2^12 - 1189*T1^9*T2^12 + 
     744*T1^10*T2^12 - 1189*T1^11*T2^12 + 1376*T1^12*T2^12 + 
     151*T1^13*T2^12 - 363*T1^14*T2^12 + 34*T1^16*T2^12 - 34*T1^5*T2^13 + 
     36*T1^6*T2^13 + 368*T1^7*T2^13 - 812*T1^8*T2^13 + 151*T1^9*T2^13 + 
     98*T1^10*T2^13 + 98*T1^11*T2^13 + 151*T1^12*T2^13 - 812*T1^13*T2^13 + 
     368*T1^14*T2^13 + 36*T1^15*T2^13 - 34*T1^16*T2^13 + 28*T1^6*T2^14 - 
     96*T1^7*T2^14 - 13*T1^8*T2^14 + 368*T1^9*T2^14 - 363*T1^10*T2^14 + 
     279*T1^11*T2^14 - 363*T1^12*T2^14 + 368*T1^13*T2^14 - 13*T1^14*T2^14 - 
     96*T1^15*T2^14 + 28*T1^16*T2^14 - 12*T1^7*T2^15 + 60*T1^8*T2^15 - 
     96*T1^9*T2^15 + 36*T1^10*T2^15 + 36*T1^13*T2^15 - 96*T1^14*T2^15 + 
     60*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)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 126] -> 
  {(2 - 12*T + 32*T^2 - 43*T^3 + 32*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (9 - 54*T1 + 144*T1^2 - 193*T1^3 + 144*T1^4 - 54*T1^5 + 9*T1^6 - 54*T2 + 
     270*T1*T2 - 545*T1^2*T2 + 297*T1^3*T2 + 297*T1^4*T2 - 545*T1^5*T2 + 
     270*T1^6*T2 - 54*T1^7*T2 + 144*T2^2 - 545*T1*T2^2 + 556*T1^2*T2^2 + 
     1152*T1^3*T2^2 - 2246*T1^4*T2^2 + 1152*T1^5*T2^2 + 556*T1^6*T2^2 - 
     545*T1^7*T2^2 + 144*T1^8*T2^2 - 193*T2^3 + 297*T1*T2^3 + 
     1152*T1^2*T2^3 - 4606*T1^3*T2^3 + 2724*T1^4*T2^3 + 2724*T1^5*T2^3 - 
     4606*T1^6*T2^3 + 1152*T1^7*T2^3 + 297*T1^8*T2^3 - 193*T1^9*T2^3 + 
     144*T2^4 + 297*T1*T2^4 - 2246*T1^2*T2^4 + 2724*T1^3*T2^4 + 
     7402*T1^4*T2^4 - 13806*T1^5*T2^4 + 7402*T1^6*T2^4 + 2724*T1^7*T2^4 - 
     2246*T1^8*T2^4 + 297*T1^9*T2^4 + 144*T1^10*T2^4 - 54*T2^5 - 
     545*T1*T2^5 + 1152*T1^2*T2^5 + 2724*T1^3*T2^5 - 13806*T1^4*T2^5 + 
     8262*T1^5*T2^5 + 8262*T1^6*T2^5 - 13806*T1^7*T2^5 + 2724*T1^8*T2^5 + 
     1152*T1^9*T2^5 - 545*T1^10*T2^5 - 54*T1^11*T2^5 + 9*T2^6 + 270*T1*T2^6 + 
     556*T1^2*T2^6 - 4606*T1^3*T2^6 + 7402*T1^4*T2^6 + 8262*T1^5*T2^6 - 
     18504*T1^6*T2^6 + 8262*T1^7*T2^6 + 7402*T1^8*T2^6 - 4606*T1^9*T2^6 + 
     556*T1^10*T2^6 + 270*T1^11*T2^6 + 9*T1^12*T2^6 - 54*T1*T2^7 - 
     545*T1^2*T2^7 + 1152*T1^3*T2^7 + 2724*T1^4*T2^7 - 13806*T1^5*T2^7 + 
     8262*T1^6*T2^7 + 8262*T1^7*T2^7 - 13806*T1^8*T2^7 + 2724*T1^9*T2^7 + 
     1152*T1^10*T2^7 - 545*T1^11*T2^7 - 54*T1^12*T2^7 + 144*T1^2*T2^8 + 
     297*T1^3*T2^8 - 2246*T1^4*T2^8 + 2724*T1^5*T2^8 + 7402*T1^6*T2^8 - 
     13806*T1^7*T2^8 + 7402*T1^8*T2^8 + 2724*T1^9*T2^8 - 2246*T1^10*T2^8 + 
     297*T1^11*T2^8 + 144*T1^12*T2^8 - 193*T1^3*T2^9 + 297*T1^4*T2^9 + 
     1152*T1^5*T2^9 - 4606*T1^6*T2^9 + 2724*T1^7*T2^9 + 2724*T1^8*T2^9 - 
     4606*T1^9*T2^9 + 1152*T1^10*T2^9 + 297*T1^11*T2^9 - 193*T1^12*T2^9 + 
     144*T1^4*T2^10 - 545*T1^5*T2^10 + 556*T1^6*T2^10 + 1152*T1^7*T2^10 - 
     2246*T1^8*T2^10 + 1152*T1^9*T2^10 + 556*T1^10*T2^10 - 545*T1^11*T2^10 + 
     144*T1^12*T2^10 - 54*T1^5*T2^11 + 270*T1^6*T2^11 - 545*T1^7*T2^11 + 
     297*T1^8*T2^11 + 297*T1^9*T2^11 - 545*T1^10*T2^11 + 270*T1^11*T2^11 - 
     54*T1^12*T2^11 + 9*T1^6*T2^12 - 54*T1^7*T2^12 + 144*T1^8*T2^12 - 
     193*T1^9*T2^12 + 144*T1^10*T2^12 - 54*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, 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), -((1 - 6*T1 + 14*T1^2 - 21*T1^3 + 23*T1^4 - 21*T1^5 + 14*T1^6 - 
      6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 48*T1^2*T2 + 42*T1^3*T2 - 
      12*T1^4*T2 - 12*T1^5*T2 + 42*T1^6*T2 - 48*T1^7*T2 + 30*T1^8*T2 - 
      6*T1^9*T2 + 14*T2^2 - 48*T1*T2^2 - 7*T1^2*T2^2 + 130*T1^3*T2^2 - 
      244*T1^4*T2^2 + 247*T1^5*T2^2 - 244*T1^6*T2^2 + 130*T1^7*T2^2 - 
      7*T1^8*T2^2 - 48*T1^9*T2^2 + 14*T1^10*T2^2 - 21*T2^3 + 42*T1*T2^3 + 
      130*T1^2*T2^3 - 280*T1^3*T2^3 + 273*T1^4*T2^3 - 48*T1^5*T2^3 - 
      48*T1^6*T2^3 + 273*T1^7*T2^3 - 280*T1^8*T2^3 + 130*T1^9*T2^3 + 
      42*T1^10*T2^3 - 21*T1^11*T2^3 + 23*T2^4 - 12*T1*T2^4 - 244*T1^2*T2^4 + 
      273*T1^3*T2^4 - 60*T1^4*T2^4 - 291*T1^5*T2^4 + 238*T1^6*T2^4 - 
      291*T1^7*T2^4 - 60*T1^8*T2^4 + 273*T1^9*T2^4 - 244*T1^10*T2^4 - 
      12*T1^11*T2^4 + 23*T1^12*T2^4 - 21*T2^5 - 12*T1*T2^5 + 247*T1^2*T2^5 - 
      48*T1^3*T2^5 - 291*T1^4*T2^5 + 486*T1^5*T2^5 - 90*T1^6*T2^5 - 
      90*T1^7*T2^5 + 486*T1^8*T2^5 - 291*T1^9*T2^5 - 48*T1^10*T2^5 + 
      247*T1^11*T2^5 - 12*T1^12*T2^5 - 21*T1^13*T2^5 + 14*T2^6 + 42*T1*T2^6 - 
      244*T1^2*T2^6 - 48*T1^3*T2^6 + 238*T1^4*T2^6 - 90*T1^5*T2^6 - 
      463*T1^6*T2^6 + 519*T1^7*T2^6 - 463*T1^8*T2^6 - 90*T1^9*T2^6 + 
      238*T1^10*T2^6 - 48*T1^11*T2^6 - 244*T1^12*T2^6 + 42*T1^13*T2^6 + 
      14*T1^14*T2^6 - 6*T2^7 - 48*T1*T2^7 + 130*T1^2*T2^7 + 273*T1^3*T2^7 - 
      291*T1^4*T2^7 - 90*T1^5*T2^7 + 519*T1^6*T2^7 - 218*T1^7*T2^7 - 
      218*T1^8*T2^7 + 519*T1^9*T2^7 - 90*T1^10*T2^7 - 291*T1^11*T2^7 + 
      273*T1^12*T2^7 + 130*T1^13*T2^7 - 48*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 
      30*T1*T2^8 - 7*T1^2*T2^8 - 280*T1^3*T2^8 - 60*T1^4*T2^8 + 
      486*T1^5*T2^8 - 463*T1^6*T2^8 - 218*T1^7*T2^8 + 516*T1^8*T2^8 - 
      218*T1^9*T2^8 - 463*T1^10*T2^8 + 486*T1^11*T2^8 - 60*T1^12*T2^8 - 
      280*T1^13*T2^8 - 7*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 
      6*T1*T2^9 - 48*T1^2*T2^9 + 130*T1^3*T2^9 + 273*T1^4*T2^9 - 
      291*T1^5*T2^9 - 90*T1^6*T2^9 + 519*T1^7*T2^9 - 218*T1^8*T2^9 - 
      218*T1^9*T2^9 + 519*T1^10*T2^9 - 90*T1^11*T2^9 - 291*T1^12*T2^9 + 
      273*T1^13*T2^9 + 130*T1^14*T2^9 - 48*T1^15*T2^9 - 6*T1^16*T2^9 + 
      14*T1^2*T2^10 + 42*T1^3*T2^10 - 244*T1^4*T2^10 - 48*T1^5*T2^10 + 
      238*T1^6*T2^10 - 90*T1^7*T2^10 - 463*T1^8*T2^10 + 519*T1^9*T2^10 - 
      463*T1^10*T2^10 - 90*T1^11*T2^10 + 238*T1^12*T2^10 - 48*T1^13*T2^10 - 
      244*T1^14*T2^10 + 42*T1^15*T2^10 + 14*T1^16*T2^10 - 21*T1^3*T2^11 - 
      12*T1^4*T2^11 + 247*T1^5*T2^11 - 48*T1^6*T2^11 - 291*T1^7*T2^11 + 
      486*T1^8*T2^11 - 90*T1^9*T2^11 - 90*T1^10*T2^11 + 486*T1^11*T2^11 - 
      291*T1^12*T2^11 - 48*T1^13*T2^11 + 247*T1^14*T2^11 - 12*T1^15*T2^11 - 
      21*T1^16*T2^11 + 23*T1^4*T2^12 - 12*T1^5*T2^12 - 244*T1^6*T2^12 + 
      273*T1^7*T2^12 - 60*T1^8*T2^12 - 291*T1^9*T2^12 + 238*T1^10*T2^12 - 
      291*T1^11*T2^12 - 60*T1^12*T2^12 + 273*T1^13*T2^12 - 244*T1^14*T2^12 - 
      12*T1^15*T2^12 + 23*T1^16*T2^12 - 21*T1^5*T2^13 + 42*T1^6*T2^13 + 
      130*T1^7*T2^13 - 280*T1^8*T2^13 + 273*T1^9*T2^13 - 48*T1^10*T2^13 - 
      48*T1^11*T2^13 + 273*T1^12*T2^13 - 280*T1^13*T2^13 + 130*T1^14*T2^13 + 
      42*T1^15*T2^13 - 21*T1^16*T2^13 + 14*T1^6*T2^14 - 48*T1^7*T2^14 - 
      7*T1^8*T2^14 + 130*T1^9*T2^14 - 244*T1^10*T2^14 + 247*T1^11*T2^14 - 
      244*T1^12*T2^14 + 130*T1^13*T2^14 - 7*T1^14*T2^14 - 48*T1^15*T2^14 + 
      14*T1^16*T2^14 - 6*T1^7*T2^15 + 30*T1^8*T2^15 - 48*T1^9*T2^15 + 
      42*T1^10*T2^15 - 12*T1^11*T2^15 - 12*T1^12*T2^15 + 42*T1^13*T2^15 - 
      48*T1^14*T2^15 + 30*T1^15*T2^15 - 6*T1^16*T2^15 + T1^8*T2^16 - 
      6*T1^9*T2^16 + 14*T1^10*T2^16 - 21*T1^11*T2^16 + 23*T1^12*T2^16 - 
      21*T1^13*T2^16 + 14*T1^14*T2^16 - 6*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, NonAlternating, 128] -> 
  {-((2 - 14*T + 34*T^2 - 45*T^3 + 34*T^4 - 14*T^5 + 2*T^6)/T^3), 
   -((17 - 118*T1 + 285*T1^2 - 377*T1^3 + 285*T1^4 - 118*T1^5 + 17*T1^6 - 
      118*T2 + 706*T1*T2 - 1161*T1^2*T2 + 639*T1^3*T2 + 639*T1^4*T2 - 
      1161*T1^5*T2 + 706*T1^6*T2 - 118*T1^7*T2 + 285*T2^2 - 1161*T1*T2^2 - 
      711*T1^2*T2^2 + 5619*T1^3*T2^2 - 8843*T1^4*T2^2 + 5619*T1^5*T2^2 - 
      711*T1^6*T2^2 - 1161*T1^7*T2^2 + 285*T1^8*T2^2 - 377*T2^3 + 
      639*T1*T2^3 + 5619*T1^2*T2^3 - 11736*T1^3*T2^3 + 7151*T1^4*T2^3 + 
      7151*T1^5*T2^3 - 11736*T1^6*T2^3 + 5619*T1^7*T2^3 + 639*T1^8*T2^3 - 
      377*T1^9*T2^3 + 285*T2^4 + 639*T1*T2^4 - 8843*T1^2*T2^4 + 
      7151*T1^3*T2^4 + 9447*T1^4*T2^4 - 23041*T1^5*T2^4 + 9447*T1^6*T2^4 + 
      7151*T1^7*T2^4 - 8843*T1^8*T2^4 + 639*T1^9*T2^4 + 285*T1^10*T2^4 - 
      118*T2^5 - 1161*T1*T2^5 + 5619*T1^2*T2^5 + 7151*T1^3*T2^5 - 
      23041*T1^4*T2^5 + 15988*T1^5*T2^5 + 15988*T1^6*T2^5 - 23041*T1^7*T2^5 + 
      7151*T1^8*T2^5 + 5619*T1^9*T2^5 - 1161*T1^10*T2^5 - 118*T1^11*T2^5 + 
      17*T2^6 + 706*T1*T2^6 - 711*T1^2*T2^6 - 11736*T1^3*T2^6 + 
      9447*T1^4*T2^6 + 15988*T1^5*T2^6 - 37680*T1^6*T2^6 + 15988*T1^7*T2^6 + 
      9447*T1^8*T2^6 - 11736*T1^9*T2^6 - 711*T1^10*T2^6 + 706*T1^11*T2^6 + 
      17*T1^12*T2^6 - 118*T1*T2^7 - 1161*T1^2*T2^7 + 5619*T1^3*T2^7 + 
      7151*T1^4*T2^7 - 23041*T1^5*T2^7 + 15988*T1^6*T2^7 + 15988*T1^7*T2^7 - 
      23041*T1^8*T2^7 + 7151*T1^9*T2^7 + 5619*T1^10*T2^7 - 1161*T1^11*T2^7 - 
      118*T1^12*T2^7 + 285*T1^2*T2^8 + 639*T1^3*T2^8 - 8843*T1^4*T2^8 + 
      7151*T1^5*T2^8 + 9447*T1^6*T2^8 - 23041*T1^7*T2^8 + 9447*T1^8*T2^8 + 
      7151*T1^9*T2^8 - 8843*T1^10*T2^8 + 639*T1^11*T2^8 + 285*T1^12*T2^8 - 
      377*T1^3*T2^9 + 639*T1^4*T2^9 + 5619*T1^5*T2^9 - 11736*T1^6*T2^9 + 
      7151*T1^7*T2^9 + 7151*T1^8*T2^9 - 11736*T1^9*T2^9 + 5619*T1^10*T2^9 + 
      639*T1^11*T2^9 - 377*T1^12*T2^9 + 285*T1^4*T2^10 - 1161*T1^5*T2^10 - 
      711*T1^6*T2^10 + 5619*T1^7*T2^10 - 8843*T1^8*T2^10 + 5619*T1^9*T2^10 - 
      711*T1^10*T2^10 - 1161*T1^11*T2^10 + 285*T1^12*T2^10 - 118*T1^5*T2^11 + 
      706*T1^6*T2^11 - 1161*T1^7*T2^11 + 639*T1^8*T2^11 + 639*T1^9*T2^11 - 
      1161*T1^10*T2^11 + 706*T1^11*T2^11 - 118*T1^12*T2^11 + 17*T1^6*T2^12 - 
      118*T1^7*T2^12 + 285*T1^8*T2^12 - 377*T1^9*T2^12 + 285*T1^10*T2^12 - 
      118*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 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 - 19*T1^4*T2^4 + 13*T1^5*T2^4 - 19*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 + 
      13*T1^4*T2^5 - 4*T1^5*T2^5 - 4*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 - 19*T1^4*T2^6 - 
      4*T1^5*T2^6 + 12*T1^6*T2^6 - 4*T1^7*T2^6 - 19*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 - 4*T1^6*T2^7 - 4*T1^7*T2^7 + 13*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 - 19*T1^6*T2^8 + 
      13*T1^7*T2^8 - 19*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)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 130] -> 
  {-((2 - 8*T + 14*T^2 - 17*T^3 + 14*T^4 - 8*T^5 + 2*T^6)/T^3), 
   (1 - 4*T1 + 8*T1^2 - 11*T1^3 + 8*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 10*T1*T2 - 
     9*T1^2*T2 + 7*T1^3*T2 + 7*T1^4*T2 - 9*T1^5*T2 + 10*T1^6*T2 - 4*T1^7*T2 + 
     8*T2^2 - 9*T1*T2^2 - 8*T1^2*T2^2 - 18*T1^3*T2^2 + 16*T1^4*T2^2 - 
     18*T1^5*T2^2 - 8*T1^6*T2^2 - 9*T1^7*T2^2 + 8*T1^8*T2^2 - 11*T2^3 + 
     7*T1*T2^3 - 18*T1^2*T2^3 + 160*T1^3*T2^3 - 68*T1^4*T2^3 - 68*T1^5*T2^3 + 
     160*T1^6*T2^3 - 18*T1^7*T2^3 + 7*T1^8*T2^3 - 11*T1^9*T2^3 + 8*T2^4 + 
     7*T1*T2^4 + 16*T1^2*T2^4 - 68*T1^3*T2^4 - 521*T1^4*T2^4 + 
     753*T1^5*T2^4 - 521*T1^6*T2^4 - 68*T1^7*T2^4 + 16*T1^8*T2^4 + 
     7*T1^9*T2^4 + 8*T1^10*T2^4 - 4*T2^5 - 9*T1*T2^5 - 18*T1^2*T2^5 - 
     68*T1^3*T2^5 + 753*T1^4*T2^5 - 338*T1^5*T2^5 - 338*T1^6*T2^5 + 
     753*T1^7*T2^5 - 68*T1^8*T2^5 - 18*T1^9*T2^5 - 9*T1^10*T2^5 - 
     4*T1^11*T2^5 + T2^6 + 10*T1*T2^6 - 8*T1^2*T2^6 + 160*T1^3*T2^6 - 
     521*T1^4*T2^6 - 338*T1^5*T2^6 + 636*T1^6*T2^6 - 338*T1^7*T2^6 - 
     521*T1^8*T2^6 + 160*T1^9*T2^6 - 8*T1^10*T2^6 + 10*T1^11*T2^6 + 
     T1^12*T2^6 - 4*T1*T2^7 - 9*T1^2*T2^7 - 18*T1^3*T2^7 - 68*T1^4*T2^7 + 
     753*T1^5*T2^7 - 338*T1^6*T2^7 - 338*T1^7*T2^7 + 753*T1^8*T2^7 - 
     68*T1^9*T2^7 - 18*T1^10*T2^7 - 9*T1^11*T2^7 - 4*T1^12*T2^7 + 
     8*T1^2*T2^8 + 7*T1^3*T2^8 + 16*T1^4*T2^8 - 68*T1^5*T2^8 - 
     521*T1^6*T2^8 + 753*T1^7*T2^8 - 521*T1^8*T2^8 - 68*T1^9*T2^8 + 
     16*T1^10*T2^8 + 7*T1^11*T2^8 + 8*T1^12*T2^8 - 11*T1^3*T2^9 + 
     7*T1^4*T2^9 - 18*T1^5*T2^9 + 160*T1^6*T2^9 - 68*T1^7*T2^9 - 
     68*T1^8*T2^9 + 160*T1^9*T2^9 - 18*T1^10*T2^9 + 7*T1^11*T2^9 - 
     11*T1^12*T2^9 + 8*T1^4*T2^10 - 9*T1^5*T2^10 - 8*T1^6*T2^10 - 
     18*T1^7*T2^10 + 16*T1^8*T2^10 - 18*T1^9*T2^10 - 8*T1^10*T2^10 - 
     9*T1^11*T2^10 + 8*T1^12*T2^10 - 4*T1^5*T2^11 + 10*T1^6*T2^11 - 
     9*T1^7*T2^11 + 7*T1^8*T2^11 + 7*T1^9*T2^11 - 9*T1^10*T2^11 + 
     10*T1^11*T2^11 - 4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 
     8*T1^8*T2^12 - 11*T1^9*T2^12 + 8*T1^10*T2^12 - 4*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 131] -> 
  {(2 - 10*T + 24*T^2 - 31*T^3 + 24*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (9 - 44*T1 + 105*T1^2 - 135*T1^3 + 105*T1^4 - 44*T1^5 + 9*T1^6 - 44*T2 + 
     170*T1*T2 - 297*T1^2*T2 + 145*T1^3*T2 + 145*T1^4*T2 - 297*T1^5*T2 + 
     170*T1^6*T2 - 44*T1^7*T2 + 105*T2^2 - 297*T1*T2^2 + 291*T1^2*T2^2 + 
     405*T1^3*T2^2 - 747*T1^4*T2^2 + 405*T1^5*T2^2 + 291*T1^6*T2^2 - 
     297*T1^7*T2^2 + 105*T1^8*T2^2 - 135*T2^3 + 145*T1*T2^3 + 405*T1^2*T2^3 - 
     1614*T1^3*T2^3 + 795*T1^4*T2^3 + 795*T1^5*T2^3 - 1614*T1^6*T2^3 + 
     405*T1^7*T2^3 + 145*T1^8*T2^3 - 135*T1^9*T2^3 + 105*T2^4 + 145*T1*T2^4 - 
     747*T1^2*T2^4 + 795*T1^3*T2^4 + 2674*T1^4*T2^4 - 4228*T1^5*T2^4 + 
     2674*T1^6*T2^4 + 795*T1^7*T2^4 - 747*T1^8*T2^4 + 145*T1^9*T2^4 + 
     105*T1^10*T2^4 - 44*T2^5 - 297*T1*T2^5 + 405*T1^2*T2^5 + 795*T1^3*T2^5 - 
     4228*T1^4*T2^5 + 2048*T1^5*T2^5 + 2048*T1^6*T2^5 - 4228*T1^7*T2^5 + 
     795*T1^8*T2^5 + 405*T1^9*T2^5 - 297*T1^10*T2^5 - 44*T1^11*T2^5 + 
     9*T2^6 + 170*T1*T2^6 + 291*T1^2*T2^6 - 1614*T1^3*T2^6 + 2674*T1^4*T2^6 + 
     2048*T1^5*T2^6 - 4116*T1^6*T2^6 + 2048*T1^7*T2^6 + 2674*T1^8*T2^6 - 
     1614*T1^9*T2^6 + 291*T1^10*T2^6 + 170*T1^11*T2^6 + 9*T1^12*T2^6 - 
     44*T1*T2^7 - 297*T1^2*T2^7 + 405*T1^3*T2^7 + 795*T1^4*T2^7 - 
     4228*T1^5*T2^7 + 2048*T1^6*T2^7 + 2048*T1^7*T2^7 - 4228*T1^8*T2^7 + 
     795*T1^9*T2^7 + 405*T1^10*T2^7 - 297*T1^11*T2^7 - 44*T1^12*T2^7 + 
     105*T1^2*T2^8 + 145*T1^3*T2^8 - 747*T1^4*T2^8 + 795*T1^5*T2^8 + 
     2674*T1^6*T2^8 - 4228*T1^7*T2^8 + 2674*T1^8*T2^8 + 795*T1^9*T2^8 - 
     747*T1^10*T2^8 + 145*T1^11*T2^8 + 105*T1^12*T2^8 - 135*T1^3*T2^9 + 
     145*T1^4*T2^9 + 405*T1^5*T2^9 - 1614*T1^6*T2^9 + 795*T1^7*T2^9 + 
     795*T1^8*T2^9 - 1614*T1^9*T2^9 + 405*T1^10*T2^9 + 145*T1^11*T2^9 - 
     135*T1^12*T2^9 + 105*T1^4*T2^10 - 297*T1^5*T2^10 + 291*T1^6*T2^10 + 
     405*T1^7*T2^10 - 747*T1^8*T2^10 + 405*T1^9*T2^10 + 291*T1^10*T2^10 - 
     297*T1^11*T2^10 + 105*T1^12*T2^10 - 44*T1^5*T2^11 + 170*T1^6*T2^11 - 
     297*T1^7*T2^11 + 145*T1^8*T2^11 + 145*T1^9*T2^11 - 297*T1^10*T2^11 + 
     170*T1^11*T2^11 - 44*T1^12*T2^11 + 9*T1^6*T2^12 - 44*T1^7*T2^12 + 
     105*T1^8*T2^12 - 135*T1^9*T2^12 + 105*T1^10*T2^12 - 44*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, 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 + 
     64*T1^2*T2^2 - 84*T1^3*T2^2 + 86*T1^4*T2^2 - 84*T1^5*T2^2 + 
     64*T1^6*T2^2 - 18*T1^7*T2^2 + T1^8*T2^2 - 2*T2^3 + 12*T1*T2^3 - 
     84*T1^2*T2^3 + 88*T1^3*T2^3 - 55*T1^4*T2^3 - 55*T1^5*T2^3 + 
     88*T1^6*T2^3 - 84*T1^7*T2^3 + 12*T1^8*T2^3 - 2*T1^9*T2^3 + T2^4 + 
     12*T1*T2^4 + 86*T1^2*T2^4 - 55*T1^3*T2^4 + 68*T1^4*T2^4 + 40*T1^5*T2^4 + 
     68*T1^6*T2^4 - 55*T1^7*T2^4 + 86*T1^8*T2^4 + 12*T1^9*T2^4 + T1^10*T2^4 - 
     18*T1*T2^5 - 84*T1^2*T2^5 - 55*T1^3*T2^5 + 40*T1^4*T2^5 - 
     136*T1^5*T2^5 - 136*T1^6*T2^5 + 40*T1^7*T2^5 - 55*T1^8*T2^5 - 
     84*T1^9*T2^5 - 18*T1^10*T2^5 + 6*T1*T2^6 + 64*T1^2*T2^6 + 88*T1^3*T2^6 + 
     68*T1^4*T2^6 - 136*T1^5*T2^6 + 444*T1^6*T2^6 - 136*T1^7*T2^6 + 
     68*T1^8*T2^6 + 88*T1^9*T2^6 + 64*T1^10*T2^6 + 6*T1^11*T2^6 - 
     18*T1^2*T2^7 - 84*T1^3*T2^7 - 55*T1^4*T2^7 + 40*T1^5*T2^7 - 
     136*T1^6*T2^7 - 136*T1^7*T2^7 + 40*T1^8*T2^7 - 55*T1^9*T2^7 - 
     84*T1^10*T2^7 - 18*T1^11*T2^7 + T1^2*T2^8 + 12*T1^3*T2^8 + 
     86*T1^4*T2^8 - 55*T1^5*T2^8 + 68*T1^6*T2^8 + 40*T1^7*T2^8 + 
     68*T1^8*T2^8 - 55*T1^9*T2^8 + 86*T1^10*T2^8 + 12*T1^11*T2^8 + 
     T1^12*T2^8 - 2*T1^3*T2^9 + 12*T1^4*T2^9 - 84*T1^5*T2^9 + 88*T1^6*T2^9 - 
     55*T1^7*T2^9 - 55*T1^8*T2^9 + 88*T1^9*T2^9 - 84*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 - 84*T1^7*T2^10 + 86*T1^8*T2^10 - 84*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)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 133] -> 
  {((2 - 3*T + 2*T^2)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^3, 
   (196 - 668*T1 + 1222*T1^2 - 1446*T1^3 + 1222*T1^4 - 668*T1^5 + 196*T1^6 - 
     668*T2 + 1632*T1*T2 - 1938*T1^2*T2 + 794*T1^3*T2 + 794*T1^4*T2 - 
     1938*T1^5*T2 + 1632*T1^6*T2 - 668*T1^7*T2 + 1222*T2^2 - 1938*T1*T2^2 + 
     1013*T1^2*T2^2 + 1405*T1^3*T2^2 - 2177*T1^4*T2^2 + 1405*T1^5*T2^2 + 
     1013*T1^6*T2^2 - 1938*T1^7*T2^2 + 1222*T1^8*T2^2 - 1446*T2^3 + 
     794*T1*T2^3 + 1405*T1^2*T2^3 - 3332*T1^3*T2^3 + 1172*T1^4*T2^3 + 
     1172*T1^5*T2^3 - 3332*T1^6*T2^3 + 1405*T1^7*T2^3 + 794*T1^8*T2^3 - 
     1446*T1^9*T2^3 + 1222*T2^4 + 794*T1*T2^4 - 2177*T1^2*T2^4 + 
     1172*T1^3*T2^4 + 3615*T1^4*T2^4 - 4413*T1^5*T2^4 + 3615*T1^6*T2^4 + 
     1172*T1^7*T2^4 - 2177*T1^8*T2^4 + 794*T1^9*T2^4 + 1222*T1^10*T2^4 - 
     668*T2^5 - 1938*T1*T2^5 + 1405*T1^2*T2^5 + 1172*T1^3*T2^5 - 
     4413*T1^4*T2^5 + 1150*T1^5*T2^5 + 1150*T1^6*T2^5 - 4413*T1^7*T2^5 + 
     1172*T1^8*T2^5 + 1405*T1^9*T2^5 - 1938*T1^10*T2^5 - 668*T1^11*T2^5 + 
     196*T2^6 + 1632*T1*T2^6 + 1013*T1^2*T2^6 - 3332*T1^3*T2^6 + 
     3615*T1^4*T2^6 + 1150*T1^5*T2^6 - 1272*T1^6*T2^6 + 1150*T1^7*T2^6 + 
     3615*T1^8*T2^6 - 3332*T1^9*T2^6 + 1013*T1^10*T2^6 + 1632*T1^11*T2^6 + 
     196*T1^12*T2^6 - 668*T1*T2^7 - 1938*T1^2*T2^7 + 1405*T1^3*T2^7 + 
     1172*T1^4*T2^7 - 4413*T1^5*T2^7 + 1150*T1^6*T2^7 + 1150*T1^7*T2^7 - 
     4413*T1^8*T2^7 + 1172*T1^9*T2^7 + 1405*T1^10*T2^7 - 1938*T1^11*T2^7 - 
     668*T1^12*T2^7 + 1222*T1^2*T2^8 + 794*T1^3*T2^8 - 2177*T1^4*T2^8 + 
     1172*T1^5*T2^8 + 3615*T1^6*T2^8 - 4413*T1^7*T2^8 + 3615*T1^8*T2^8 + 
     1172*T1^9*T2^8 - 2177*T1^10*T2^8 + 794*T1^11*T2^8 + 1222*T1^12*T2^8 - 
     1446*T1^3*T2^9 + 794*T1^4*T2^9 + 1405*T1^5*T2^9 - 3332*T1^6*T2^9 + 
     1172*T1^7*T2^9 + 1172*T1^8*T2^9 - 3332*T1^9*T2^9 + 1405*T1^10*T2^9 + 
     794*T1^11*T2^9 - 1446*T1^12*T2^9 + 1222*T1^4*T2^10 - 1938*T1^5*T2^10 + 
     1013*T1^6*T2^10 + 1405*T1^7*T2^10 - 2177*T1^8*T2^10 + 1405*T1^9*T2^10 + 
     1013*T1^10*T2^10 - 1938*T1^11*T2^10 + 1222*T1^12*T2^10 - 
     668*T1^5*T2^11 + 1632*T1^6*T2^11 - 1938*T1^7*T2^11 + 794*T1^8*T2^11 + 
     794*T1^9*T2^11 - 1938*T1^10*T2^11 + 1632*T1^11*T2^11 - 668*T1^12*T2^11 + 
     196*T1^6*T2^12 - 668*T1^7*T2^12 + 1222*T1^8*T2^12 - 1446*T1^9*T2^12 + 
     1222*T1^10*T2^12 - 668*T1^11*T2^12 + 196*T1^12*T2^12)/(T1^6*T2^6)}, 
 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), 
   -((3 - 12*T1 + 18*T1^2 - 21*T1^3 + 21*T1^4 - 21*T1^5 + 18*T1^6 - 12*T1^7 + 
      3*T1^8 - 12*T2 + 36*T1*T2 - 24*T1^2*T2 + 12*T1^3*T2 + 12*T1^6*T2 - 
      24*T1^7*T2 + 36*T1^8*T2 - 12*T1^9*T2 + 18*T2^2 - 24*T1*T2^2 - 
      64*T1^2*T2^2 + 88*T1^3*T2^2 - 97*T1^4*T2^2 + 78*T1^5*T2^2 - 
      97*T1^6*T2^2 + 88*T1^7*T2^2 - 64*T1^8*T2^2 - 24*T1^9*T2^2 + 
      18*T1^10*T2^2 - 21*T2^3 + 12*T1*T2^3 + 88*T1^2*T2^3 - 30*T1^3*T2^3 + 
      15*T1^4*T2^3 + 17*T1^5*T2^3 + 17*T1^6*T2^3 + 15*T1^7*T2^3 - 
      30*T1^8*T2^3 + 88*T1^9*T2^3 + 12*T1^10*T2^3 - 21*T1^11*T2^3 + 21*T2^4 - 
      97*T1^2*T2^4 + 15*T1^3*T2^4 - 60*T1^4*T2^4 + 46*T1^5*T2^4 - 
      94*T1^6*T2^4 + 46*T1^7*T2^4 - 60*T1^8*T2^4 + 15*T1^9*T2^4 - 
      97*T1^10*T2^4 + 21*T1^12*T2^4 - 21*T2^5 + 78*T1^2*T2^5 + 17*T1^3*T2^5 + 
      46*T1^4*T2^5 + 2*T1^5*T2^5 + 31*T1^6*T2^5 + 31*T1^7*T2^5 + 
      2*T1^8*T2^5 + 46*T1^9*T2^5 + 17*T1^10*T2^5 + 78*T1^11*T2^5 - 
      21*T1^13*T2^5 + 18*T2^6 + 12*T1*T2^6 - 97*T1^2*T2^6 + 17*T1^3*T2^6 - 
      94*T1^4*T2^6 + 31*T1^5*T2^6 - 68*T1^6*T2^6 + 16*T1^7*T2^6 - 
      68*T1^8*T2^6 + 31*T1^9*T2^6 - 94*T1^10*T2^6 + 17*T1^11*T2^6 - 
      97*T1^12*T2^6 + 12*T1^13*T2^6 + 18*T1^14*T2^6 - 12*T2^7 - 24*T1*T2^7 + 
      88*T1^2*T2^7 + 15*T1^3*T2^7 + 46*T1^4*T2^7 + 31*T1^5*T2^7 + 
      16*T1^6*T2^7 + 24*T1^7*T2^7 + 24*T1^8*T2^7 + 16*T1^9*T2^7 + 
      31*T1^10*T2^7 + 46*T1^11*T2^7 + 15*T1^12*T2^7 + 88*T1^13*T2^7 - 
      24*T1^14*T2^7 - 12*T1^15*T2^7 + 3*T2^8 + 36*T1*T2^8 - 64*T1^2*T2^8 - 
      30*T1^3*T2^8 - 60*T1^4*T2^8 + 2*T1^5*T2^8 - 68*T1^6*T2^8 + 
      24*T1^7*T2^8 - 60*T1^8*T2^8 + 24*T1^9*T2^8 - 68*T1^10*T2^8 + 
      2*T1^11*T2^8 - 60*T1^12*T2^8 - 30*T1^13*T2^8 - 64*T1^14*T2^8 + 
      36*T1^15*T2^8 + 3*T1^16*T2^8 - 12*T1*T2^9 - 24*T1^2*T2^9 + 
      88*T1^3*T2^9 + 15*T1^4*T2^9 + 46*T1^5*T2^9 + 31*T1^6*T2^9 + 
      16*T1^7*T2^9 + 24*T1^8*T2^9 + 24*T1^9*T2^9 + 16*T1^10*T2^9 + 
      31*T1^11*T2^9 + 46*T1^12*T2^9 + 15*T1^13*T2^9 + 88*T1^14*T2^9 - 
      24*T1^15*T2^9 - 12*T1^16*T2^9 + 18*T1^2*T2^10 + 12*T1^3*T2^10 - 
      97*T1^4*T2^10 + 17*T1^5*T2^10 - 94*T1^6*T2^10 + 31*T1^7*T2^10 - 
      68*T1^8*T2^10 + 16*T1^9*T2^10 - 68*T1^10*T2^10 + 31*T1^11*T2^10 - 
      94*T1^12*T2^10 + 17*T1^13*T2^10 - 97*T1^14*T2^10 + 12*T1^15*T2^10 + 
      18*T1^16*T2^10 - 21*T1^3*T2^11 + 78*T1^5*T2^11 + 17*T1^6*T2^11 + 
      46*T1^7*T2^11 + 2*T1^8*T2^11 + 31*T1^9*T2^11 + 31*T1^10*T2^11 + 
      2*T1^11*T2^11 + 46*T1^12*T2^11 + 17*T1^13*T2^11 + 78*T1^14*T2^11 - 
      21*T1^16*T2^11 + 21*T1^4*T2^12 - 97*T1^6*T2^12 + 15*T1^7*T2^12 - 
      60*T1^8*T2^12 + 46*T1^9*T2^12 - 94*T1^10*T2^12 + 46*T1^11*T2^12 - 
      60*T1^12*T2^12 + 15*T1^13*T2^12 - 97*T1^14*T2^12 + 21*T1^16*T2^12 - 
      21*T1^5*T2^13 + 12*T1^6*T2^13 + 88*T1^7*T2^13 - 30*T1^8*T2^13 + 
      15*T1^9*T2^13 + 17*T1^10*T2^13 + 17*T1^11*T2^13 + 15*T1^12*T2^13 - 
      30*T1^13*T2^13 + 88*T1^14*T2^13 + 12*T1^15*T2^13 - 21*T1^16*T2^13 + 
      18*T1^6*T2^14 - 24*T1^7*T2^14 - 64*T1^8*T2^14 + 88*T1^9*T2^14 - 
      97*T1^10*T2^14 + 78*T1^11*T2^14 - 97*T1^12*T2^14 + 88*T1^13*T2^14 - 
      64*T1^14*T2^14 - 24*T1^15*T2^14 + 18*T1^16*T2^14 - 12*T1^7*T2^15 + 
      36*T1^8*T2^15 - 24*T1^9*T2^15 + 12*T1^10*T2^15 + 12*T1^13*T2^15 - 
      24*T1^14*T2^15 + 36*T1^15*T2^15 - 12*T1^16*T2^15 + 3*T1^8*T2^16 - 
      12*T1^9*T2^16 + 18*T1^10*T2^16 - 21*T1^11*T2^16 + 21*T1^12*T2^16 - 
      21*T1^13*T2^16 + 18*T1^14*T2^16 - 12*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^8*T2^8))}, 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 + 24*T1*T2 - 48*T1^2*T2 + 40*T1^3*T2 - 16*T1^4*T2 - 
      16*T1^5*T2 + 40*T1^6*T2 - 48*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 
      20*T2^2 - 48*T1*T2^2 + 88*T1^2*T2^2 - 44*T1^3*T2^2 + 26*T1^4*T2^2 - 
      14*T1^5*T2^2 + 26*T1^6*T2^2 - 44*T1^7*T2^2 + 88*T1^8*T2^2 - 
      48*T1^9*T2^2 + 20*T1^10*T2^2 - 30*T2^3 + 40*T1*T2^3 - 44*T1^2*T2^3 - 
      100*T1^3*T2^3 + 69*T1^4*T2^3 - 35*T1^5*T2^3 - 35*T1^6*T2^3 + 
      69*T1^7*T2^3 - 100*T1^8*T2^3 - 44*T1^9*T2^3 + 40*T1^10*T2^3 - 
      30*T1^11*T2^3 + 34*T2^4 - 16*T1*T2^4 + 26*T1^2*T2^4 + 69*T1^3*T2^4 + 
      240*T1^4*T2^4 - 364*T1^5*T2^4 + 442*T1^6*T2^4 - 364*T1^7*T2^4 + 
      240*T1^8*T2^4 + 69*T1^9*T2^4 + 26*T1^10*T2^4 - 16*T1^11*T2^4 + 
      34*T1^12*T2^4 - 30*T2^5 - 16*T1*T2^5 - 14*T1^2*T2^5 - 35*T1^3*T2^5 - 
      364*T1^4*T2^5 + 224*T1^5*T2^5 - 110*T1^6*T2^5 - 110*T1^7*T2^5 + 
      224*T1^8*T2^5 - 364*T1^9*T2^5 - 35*T1^10*T2^5 - 14*T1^11*T2^5 - 
      16*T1^12*T2^5 - 30*T1^13*T2^5 + 20*T2^6 + 40*T1*T2^6 + 26*T1^2*T2^6 - 
      35*T1^3*T2^6 + 442*T1^4*T2^6 - 110*T1^5*T2^6 + 65*T1^6*T2^6 + 
      39*T1^7*T2^6 + 65*T1^8*T2^6 - 110*T1^9*T2^6 + 442*T1^10*T2^6 - 
      35*T1^11*T2^6 + 26*T1^12*T2^6 + 40*T1^13*T2^6 + 20*T1^14*T2^6 - 
      8*T2^7 - 48*T1*T2^7 - 44*T1^2*T2^7 + 69*T1^3*T2^7 - 364*T1^4*T2^7 - 
      110*T1^5*T2^7 + 39*T1^6*T2^7 - 82*T1^7*T2^7 - 82*T1^8*T2^7 + 
      39*T1^9*T2^7 - 110*T1^10*T2^7 - 364*T1^11*T2^7 + 69*T1^12*T2^7 - 
      44*T1^13*T2^7 - 48*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 24*T1*T2^8 + 
      88*T1^2*T2^8 - 100*T1^3*T2^8 + 240*T1^4*T2^8 + 224*T1^5*T2^8 + 
      65*T1^6*T2^8 - 82*T1^7*T2^8 + 228*T1^8*T2^8 - 82*T1^9*T2^8 + 
      65*T1^10*T2^8 + 224*T1^11*T2^8 + 240*T1^12*T2^8 - 100*T1^13*T2^8 + 
      88*T1^14*T2^8 + 24*T1^15*T2^8 + 2*T1^16*T2^8 - 8*T1*T2^9 - 
      48*T1^2*T2^9 - 44*T1^3*T2^9 + 69*T1^4*T2^9 - 364*T1^5*T2^9 - 
      110*T1^6*T2^9 + 39*T1^7*T2^9 - 82*T1^8*T2^9 - 82*T1^9*T2^9 + 
      39*T1^10*T2^9 - 110*T1^11*T2^9 - 364*T1^12*T2^9 + 69*T1^13*T2^9 - 
      44*T1^14*T2^9 - 48*T1^15*T2^9 - 8*T1^16*T2^9 + 20*T1^2*T2^10 + 
      40*T1^3*T2^10 + 26*T1^4*T2^10 - 35*T1^5*T2^10 + 442*T1^6*T2^10 - 
      110*T1^7*T2^10 + 65*T1^8*T2^10 + 39*T1^9*T2^10 + 65*T1^10*T2^10 - 
      110*T1^11*T2^10 + 442*T1^12*T2^10 - 35*T1^13*T2^10 + 26*T1^14*T2^10 + 
      40*T1^15*T2^10 + 20*T1^16*T2^10 - 30*T1^3*T2^11 - 16*T1^4*T2^11 - 
      14*T1^5*T2^11 - 35*T1^6*T2^11 - 364*T1^7*T2^11 + 224*T1^8*T2^11 - 
      110*T1^9*T2^11 - 110*T1^10*T2^11 + 224*T1^11*T2^11 - 364*T1^12*T2^11 - 
      35*T1^13*T2^11 - 14*T1^14*T2^11 - 16*T1^15*T2^11 - 30*T1^16*T2^11 + 
      34*T1^4*T2^12 - 16*T1^5*T2^12 + 26*T1^6*T2^12 + 69*T1^7*T2^12 + 
      240*T1^8*T2^12 - 364*T1^9*T2^12 + 442*T1^10*T2^12 - 364*T1^11*T2^12 + 
      240*T1^12*T2^12 + 69*T1^13*T2^12 + 26*T1^14*T2^12 - 16*T1^15*T2^12 + 
      34*T1^16*T2^12 - 30*T1^5*T2^13 + 40*T1^6*T2^13 - 44*T1^7*T2^13 - 
      100*T1^8*T2^13 + 69*T1^9*T2^13 - 35*T1^10*T2^13 - 35*T1^11*T2^13 + 
      69*T1^12*T2^13 - 100*T1^13*T2^13 - 44*T1^14*T2^13 + 40*T1^15*T2^13 - 
      30*T1^16*T2^13 + 20*T1^6*T2^14 - 48*T1^7*T2^14 + 88*T1^8*T2^14 - 
      44*T1^9*T2^14 + 26*T1^10*T2^14 - 14*T1^11*T2^14 + 26*T1^12*T2^14 - 
      44*T1^13*T2^14 + 88*T1^14*T2^14 - 48*T1^15*T2^14 + 20*T1^16*T2^14 - 
      8*T1^7*T2^15 + 24*T1^8*T2^15 - 48*T1^9*T2^15 + 40*T1^10*T2^15 - 
      16*T1^11*T2^15 - 16*T1^12*T2^15 + 40*T1^13*T2^15 - 48*T1^14*T2^15 + 
      24*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)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 136] -> 
  {(1 - 6*T^2 + 15*T^3 - 19*T^4 + 15*T^5 - 6*T^6 + T^8)/T^4, 
   (4 - 24*T1^2 + 60*T1^3 - 76*T1^4 + 60*T1^5 - 24*T1^6 + 4*T1^8 - 24*T2^2 + 
     116*T1^2*T2^2 - 325*T1^3*T2^2 + 512*T1^4*T2^2 - 602*T1^5*T2^2 + 
     512*T1^6*T2^2 - 325*T1^7*T2^2 + 116*T1^8*T2^2 - 24*T1^10*T2^2 + 
     60*T2^3 - 325*T1^2*T2^3 + 796*T1^3*T2^3 - 893*T1^4*T2^3 + 
     410*T1^5*T2^3 + 410*T1^6*T2^3 - 893*T1^7*T2^3 + 796*T1^8*T2^3 - 
     325*T1^9*T2^3 + 60*T1^11*T2^3 - 76*T2^4 + 512*T1^2*T2^4 - 
     893*T1^3*T2^4 + 358*T1^4*T2^4 + 815*T1^5*T2^4 - 1396*T1^6*T2^4 + 
     815*T1^7*T2^4 + 358*T1^8*T2^4 - 893*T1^9*T2^4 + 512*T1^10*T2^4 - 
     76*T1^12*T2^4 + 60*T2^5 - 602*T1^2*T2^5 + 410*T1^3*T2^5 + 
     815*T1^4*T2^5 - 1810*T1^5*T2^5 + 829*T1^6*T2^5 + 829*T1^7*T2^5 - 
     1810*T1^8*T2^5 + 815*T1^9*T2^5 + 410*T1^10*T2^5 - 602*T1^11*T2^5 + 
     60*T1^13*T2^5 - 24*T2^6 + 512*T1^2*T2^6 + 410*T1^3*T2^6 - 
     1396*T1^4*T2^6 + 829*T1^5*T2^6 + 1852*T1^6*T2^6 - 2788*T1^7*T2^6 + 
     1852*T1^8*T2^6 + 829*T1^9*T2^6 - 1396*T1^10*T2^6 + 410*T1^11*T2^6 + 
     512*T1^12*T2^6 - 24*T1^14*T2^6 - 325*T1^2*T2^7 - 893*T1^3*T2^7 + 
     815*T1^4*T2^7 + 829*T1^5*T2^7 - 2788*T1^6*T2^7 + 1078*T1^7*T2^7 + 
     1078*T1^8*T2^7 - 2788*T1^9*T2^7 + 829*T1^10*T2^7 + 815*T1^11*T2^7 - 
     893*T1^12*T2^7 - 325*T1^13*T2^7 + 4*T2^8 + 116*T1^2*T2^8 + 
     796*T1^3*T2^8 + 358*T1^4*T2^8 - 1810*T1^5*T2^8 + 1852*T1^6*T2^8 + 
     1078*T1^7*T2^8 - 1800*T1^8*T2^8 + 1078*T1^9*T2^8 + 1852*T1^10*T2^8 - 
     1810*T1^11*T2^8 + 358*T1^12*T2^8 + 796*T1^13*T2^8 + 116*T1^14*T2^8 + 
     4*T1^16*T2^8 - 325*T1^3*T2^9 - 893*T1^4*T2^9 + 815*T1^5*T2^9 + 
     829*T1^6*T2^9 - 2788*T1^7*T2^9 + 1078*T1^8*T2^9 + 1078*T1^9*T2^9 - 
     2788*T1^10*T2^9 + 829*T1^11*T2^9 + 815*T1^12*T2^9 - 893*T1^13*T2^9 - 
     325*T1^14*T2^9 - 24*T1^2*T2^10 + 512*T1^4*T2^10 + 410*T1^5*T2^10 - 
     1396*T1^6*T2^10 + 829*T1^7*T2^10 + 1852*T1^8*T2^10 - 2788*T1^9*T2^10 + 
     1852*T1^10*T2^10 + 829*T1^11*T2^10 - 1396*T1^12*T2^10 + 
     410*T1^13*T2^10 + 512*T1^14*T2^10 - 24*T1^16*T2^10 + 60*T1^3*T2^11 - 
     602*T1^5*T2^11 + 410*T1^6*T2^11 + 815*T1^7*T2^11 - 1810*T1^8*T2^11 + 
     829*T1^9*T2^11 + 829*T1^10*T2^11 - 1810*T1^11*T2^11 + 815*T1^12*T2^11 + 
     410*T1^13*T2^11 - 602*T1^14*T2^11 + 60*T1^16*T2^11 - 76*T1^4*T2^12 + 
     512*T1^6*T2^12 - 893*T1^7*T2^12 + 358*T1^8*T2^12 + 815*T1^9*T2^12 - 
     1396*T1^10*T2^12 + 815*T1^11*T2^12 + 358*T1^12*T2^12 - 893*T1^13*T2^12 + 
     512*T1^14*T2^12 - 76*T1^16*T2^12 + 60*T1^5*T2^13 - 325*T1^7*T2^13 + 
     796*T1^8*T2^13 - 893*T1^9*T2^13 + 410*T1^10*T2^13 + 410*T1^11*T2^13 - 
     893*T1^12*T2^13 + 796*T1^13*T2^13 - 325*T1^14*T2^13 + 60*T1^16*T2^13 - 
     24*T1^6*T2^14 + 116*T1^8*T2^14 - 325*T1^9*T2^14 + 512*T1^10*T2^14 - 
     602*T1^11*T2^14 + 512*T1^12*T2^14 - 325*T1^13*T2^14 + 116*T1^14*T2^14 - 
     24*T1^16*T2^14 + 4*T1^8*T2^16 - 24*T1^10*T2^16 + 60*T1^11*T2^16 - 
     76*T1^12*T2^16 + 60*T1^13*T2^16 - 24*T1^14*T2^16 + 4*T1^16*T2^16)/
    (T1^8*T2^8)}, 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, 
   -((2 - 8*T1 + 14*T1^2 - 16*T1^3 + 14*T1^4 - 8*T1^5 + 2*T1^6 - 8*T2 + 
      20*T1*T2 - 15*T1^2*T2 + 3*T1^3*T2 + 3*T1^4*T2 - 15*T1^5*T2 + 
      20*T1^6*T2 - 8*T1^7*T2 + 14*T2^2 - 15*T1*T2^2 - 25*T1^2*T2^2 + 
      33*T1^3*T2^2 - 19*T1^4*T2^2 + 33*T1^5*T2^2 - 25*T1^6*T2^2 - 
      15*T1^7*T2^2 + 14*T1^8*T2^2 - 16*T2^3 + 3*T1*T2^3 + 33*T1^2*T2^3 + 
      32*T1^3*T2^3 - 36*T1^4*T2^3 - 36*T1^5*T2^3 + 32*T1^6*T2^3 + 
      33*T1^7*T2^3 + 3*T1^8*T2^3 - 16*T1^9*T2^3 + 14*T2^4 + 3*T1*T2^4 - 
      19*T1^2*T2^4 - 36*T1^3*T2^4 - 153*T1^4*T2^4 + 283*T1^5*T2^4 - 
      153*T1^6*T2^4 - 36*T1^7*T2^4 - 19*T1^8*T2^4 + 3*T1^9*T2^4 + 
      14*T1^10*T2^4 - 8*T2^5 - 15*T1*T2^5 + 33*T1^2*T2^5 - 36*T1^3*T2^5 + 
      283*T1^4*T2^5 - 164*T1^5*T2^5 - 164*T1^6*T2^5 + 283*T1^7*T2^5 - 
      36*T1^8*T2^5 + 33*T1^9*T2^5 - 15*T1^10*T2^5 - 8*T1^11*T2^5 + 2*T2^6 + 
      20*T1*T2^6 - 25*T1^2*T2^6 + 32*T1^3*T2^6 - 153*T1^4*T2^6 - 
      164*T1^5*T2^6 + 348*T1^6*T2^6 - 164*T1^7*T2^6 - 153*T1^8*T2^6 + 
      32*T1^9*T2^6 - 25*T1^10*T2^6 + 20*T1^11*T2^6 + 2*T1^12*T2^6 - 
      8*T1*T2^7 - 15*T1^2*T2^7 + 33*T1^3*T2^7 - 36*T1^4*T2^7 + 
      283*T1^5*T2^7 - 164*T1^6*T2^7 - 164*T1^7*T2^7 + 283*T1^8*T2^7 - 
      36*T1^9*T2^7 + 33*T1^10*T2^7 - 15*T1^11*T2^7 - 8*T1^12*T2^7 + 
      14*T1^2*T2^8 + 3*T1^3*T2^8 - 19*T1^4*T2^8 - 36*T1^5*T2^8 - 
      153*T1^6*T2^8 + 283*T1^7*T2^8 - 153*T1^8*T2^8 - 36*T1^9*T2^8 - 
      19*T1^10*T2^8 + 3*T1^11*T2^8 + 14*T1^12*T2^8 - 16*T1^3*T2^9 + 
      3*T1^4*T2^9 + 33*T1^5*T2^9 + 32*T1^6*T2^9 - 36*T1^7*T2^9 - 
      36*T1^8*T2^9 + 32*T1^9*T2^9 + 33*T1^10*T2^9 + 3*T1^11*T2^9 - 
      16*T1^12*T2^9 + 14*T1^4*T2^10 - 15*T1^5*T2^10 - 25*T1^6*T2^10 + 
      33*T1^7*T2^10 - 19*T1^8*T2^10 + 33*T1^9*T2^10 - 25*T1^10*T2^10 - 
      15*T1^11*T2^10 + 14*T1^12*T2^10 - 8*T1^5*T2^11 + 20*T1^6*T2^11 - 
      15*T1^7*T2^11 + 3*T1^8*T2^11 + 3*T1^9*T2^11 - 15*T1^10*T2^11 + 
      20*T1^11*T2^11 - 8*T1^12*T2^11 + 2*T1^6*T2^12 - 8*T1^7*T2^12 + 
      14*T1^8*T2^12 - 16*T1^9*T2^12 + 14*T1^10*T2^12 - 8*T1^11*T2^12 + 
      2*T1^12*T2^12)/(T1^6*T2^6))}, 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), 
   -((3 - 12*T1 + 12*T1^2 + 3*T1^3 - 15*T1^4 + 3*T1^5 + 12*T1^6 - 12*T1^7 + 
      3*T1^8 - 12*T2 + 36*T1*T2 - 60*T1^3*T2 + 48*T1^4*T2 + 48*T1^5*T2 - 
      60*T1^6*T2 + 36*T1^8*T2 - 12*T1^9*T2 + 12*T2^2 - 128*T1^2*T2^2 + 
      148*T1^3*T2^2 + 43*T1^4*T2^2 - 220*T1^5*T2^2 + 43*T1^6*T2^2 + 
      148*T1^7*T2^2 - 128*T1^8*T2^2 + 12*T1^10*T2^2 + 3*T2^3 - 60*T1*T2^3 + 
      148*T1^2*T2^3 + 18*T1^3*T2^3 - 271*T1^4*T2^3 + 205*T1^5*T2^3 + 
      205*T1^6*T2^3 - 271*T1^7*T2^3 + 18*T1^8*T2^3 + 148*T1^9*T2^3 - 
      60*T1^10*T2^3 + 3*T1^11*T2^3 - 15*T2^4 + 48*T1*T2^4 + 43*T1^2*T2^4 - 
      271*T1^3*T2^4 + 269*T1^4*T2^4 + 123*T1^5*T2^4 - 397*T1^6*T2^4 + 
      123*T1^7*T2^4 + 269*T1^8*T2^4 - 271*T1^9*T2^4 + 43*T1^10*T2^4 + 
      48*T1^11*T2^4 - 15*T1^12*T2^4 + 3*T2^5 + 48*T1*T2^5 - 220*T1^2*T2^5 + 
      205*T1^3*T2^5 + 123*T1^4*T2^5 - 464*T1^5*T2^5 + 245*T1^6*T2^5 + 
      245*T1^7*T2^5 - 464*T1^8*T2^5 + 123*T1^9*T2^5 + 205*T1^10*T2^5 - 
      220*T1^11*T2^5 + 48*T1^12*T2^5 + 3*T1^13*T2^5 + 12*T2^6 - 60*T1*T2^6 + 
      43*T1^2*T2^6 + 205*T1^3*T2^6 - 397*T1^4*T2^6 + 245*T1^5*T2^6 + 
      236*T1^6*T2^6 - 444*T1^7*T2^6 + 236*T1^8*T2^6 + 245*T1^9*T2^6 - 
      397*T1^10*T2^6 + 205*T1^11*T2^6 + 43*T1^12*T2^6 - 60*T1^13*T2^6 + 
      12*T1^14*T2^6 - 12*T2^7 + 148*T1^2*T2^7 - 271*T1^3*T2^7 + 
      123*T1^4*T2^7 + 245*T1^5*T2^7 - 444*T1^6*T2^7 + 216*T1^7*T2^7 + 
      216*T1^8*T2^7 - 444*T1^9*T2^7 + 245*T1^10*T2^7 + 123*T1^11*T2^7 - 
      271*T1^12*T2^7 + 148*T1^13*T2^7 - 12*T1^15*T2^7 + 3*T2^8 + 36*T1*T2^8 - 
      128*T1^2*T2^8 + 18*T1^3*T2^8 + 269*T1^4*T2^8 - 464*T1^5*T2^8 + 
      236*T1^6*T2^8 + 216*T1^7*T2^8 - 468*T1^8*T2^8 + 216*T1^9*T2^8 + 
      236*T1^10*T2^8 - 464*T1^11*T2^8 + 269*T1^12*T2^8 + 18*T1^13*T2^8 - 
      128*T1^14*T2^8 + 36*T1^15*T2^8 + 3*T1^16*T2^8 - 12*T1*T2^9 + 
      148*T1^3*T2^9 - 271*T1^4*T2^9 + 123*T1^5*T2^9 + 245*T1^6*T2^9 - 
      444*T1^7*T2^9 + 216*T1^8*T2^9 + 216*T1^9*T2^9 - 444*T1^10*T2^9 + 
      245*T1^11*T2^9 + 123*T1^12*T2^9 - 271*T1^13*T2^9 + 148*T1^14*T2^9 - 
      12*T1^16*T2^9 + 12*T1^2*T2^10 - 60*T1^3*T2^10 + 43*T1^4*T2^10 + 
      205*T1^5*T2^10 - 397*T1^6*T2^10 + 245*T1^7*T2^10 + 236*T1^8*T2^10 - 
      444*T1^9*T2^10 + 236*T1^10*T2^10 + 245*T1^11*T2^10 - 397*T1^12*T2^10 + 
      205*T1^13*T2^10 + 43*T1^14*T2^10 - 60*T1^15*T2^10 + 12*T1^16*T2^10 + 
      3*T1^3*T2^11 + 48*T1^4*T2^11 - 220*T1^5*T2^11 + 205*T1^6*T2^11 + 
      123*T1^7*T2^11 - 464*T1^8*T2^11 + 245*T1^9*T2^11 + 245*T1^10*T2^11 - 
      464*T1^11*T2^11 + 123*T1^12*T2^11 + 205*T1^13*T2^11 - 220*T1^14*T2^11 + 
      48*T1^15*T2^11 + 3*T1^16*T2^11 - 15*T1^4*T2^12 + 48*T1^5*T2^12 + 
      43*T1^6*T2^12 - 271*T1^7*T2^12 + 269*T1^8*T2^12 + 123*T1^9*T2^12 - 
      397*T1^10*T2^12 + 123*T1^11*T2^12 + 269*T1^12*T2^12 - 271*T1^13*T2^12 + 
      43*T1^14*T2^12 + 48*T1^15*T2^12 - 15*T1^16*T2^12 + 3*T1^5*T2^13 - 
      60*T1^6*T2^13 + 148*T1^7*T2^13 + 18*T1^8*T2^13 - 271*T1^9*T2^13 + 
      205*T1^10*T2^13 + 205*T1^11*T2^13 - 271*T1^12*T2^13 + 18*T1^13*T2^13 + 
      148*T1^14*T2^13 - 60*T1^15*T2^13 + 3*T1^16*T2^13 + 12*T1^6*T2^14 - 
      128*T1^8*T2^14 + 148*T1^9*T2^14 + 43*T1^10*T2^14 - 220*T1^11*T2^14 + 
      43*T1^12*T2^14 + 148*T1^13*T2^14 - 128*T1^14*T2^14 + 12*T1^16*T2^14 - 
      12*T1^7*T2^15 + 36*T1^8*T2^15 - 60*T1^10*T2^15 + 48*T1^11*T2^15 + 
      48*T1^12*T2^15 - 60*T1^13*T2^15 + 36*T1^15*T2^15 - 12*T1^16*T2^15 + 
      3*T1^8*T2^16 - 12*T1^9*T2^16 + 12*T1^10*T2^16 + 3*T1^11*T2^16 - 
      15*T1^12*T2^16 + 3*T1^13*T2^16 + 12*T1^14*T2^16 - 12*T1^15*T2^16 + 
      3*T1^16*T2^16)/(T1^8*T2^8))}, 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, 
   (2 - 10*T1 + 22*T1^2 - 24*T1^3 + 22*T1^4 - 24*T1^5 + 22*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 60*T1^2*T2 + 10*T1^3*T2 + 10*T1^4*T2 + 
     10*T1^5*T2 + 10*T1^6*T2 - 60*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     22*T2^2 - 60*T1*T2^2 + 13*T1^2*T2^2 + 176*T1^3*T2^2 - 123*T1^4*T2^2 + 
     33*T1^5*T2^2 - 123*T1^6*T2^2 + 176*T1^7*T2^2 + 13*T1^8*T2^2 - 
     60*T1^9*T2^2 + 22*T1^10*T2^2 - 24*T2^3 + 10*T1*T2^3 + 176*T1^2*T2^3 - 
     378*T1^3*T2^3 - 33*T1^4*T2^3 + 133*T1^5*T2^3 + 133*T1^6*T2^3 - 
     33*T1^7*T2^3 - 378*T1^8*T2^3 + 176*T1^9*T2^3 + 10*T1^10*T2^3 - 
     24*T1^11*T2^3 + 22*T2^4 + 10*T1*T2^4 - 123*T1^2*T2^4 - 33*T1^3*T2^4 + 
     794*T1^4*T2^4 - 551*T1^5*T2^4 + 160*T1^6*T2^4 - 551*T1^7*T2^4 + 
     794*T1^8*T2^4 - 33*T1^9*T2^4 - 123*T1^10*T2^4 + 10*T1^11*T2^4 + 
     22*T1^12*T2^4 - 24*T2^5 + 10*T1*T2^5 + 33*T1^2*T2^5 + 133*T1^3*T2^5 - 
     551*T1^4*T2^5 - 100*T1^5*T2^5 + 257*T1^6*T2^5 + 257*T1^7*T2^5 - 
     100*T1^8*T2^5 - 551*T1^9*T2^5 + 133*T1^10*T2^5 + 33*T1^11*T2^5 + 
     10*T1^12*T2^5 - 24*T1^13*T2^5 + 22*T2^6 + 10*T1*T2^6 - 123*T1^2*T2^6 + 
     133*T1^3*T2^6 + 160*T1^4*T2^6 + 257*T1^5*T2^6 - 234*T1^6*T2^6 + 
     16*T1^7*T2^6 - 234*T1^8*T2^6 + 257*T1^9*T2^6 + 160*T1^10*T2^6 + 
     133*T1^11*T2^6 - 123*T1^12*T2^6 + 10*T1^13*T2^6 + 22*T1^14*T2^6 - 
     10*T2^7 - 60*T1*T2^7 + 176*T1^2*T2^7 - 33*T1^3*T2^7 - 551*T1^4*T2^7 + 
     257*T1^5*T2^7 + 16*T1^6*T2^7 - 2*T1^7*T2^7 - 2*T1^8*T2^7 + 
     16*T1^9*T2^7 + 257*T1^10*T2^7 - 551*T1^11*T2^7 - 33*T1^12*T2^7 + 
     176*T1^13*T2^7 - 60*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 + 
     13*T1^2*T2^8 - 378*T1^3*T2^8 + 794*T1^4*T2^8 - 100*T1^5*T2^8 - 
     234*T1^6*T2^8 - 2*T1^7*T2^8 + 120*T1^8*T2^8 - 2*T1^9*T2^8 - 
     234*T1^10*T2^8 - 100*T1^11*T2^8 + 794*T1^12*T2^8 - 378*T1^13*T2^8 + 
     13*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     60*T1^2*T2^9 + 176*T1^3*T2^9 - 33*T1^4*T2^9 - 551*T1^5*T2^9 + 
     257*T1^6*T2^9 + 16*T1^7*T2^9 - 2*T1^8*T2^9 - 2*T1^9*T2^9 + 
     16*T1^10*T2^9 + 257*T1^11*T2^9 - 551*T1^12*T2^9 - 33*T1^13*T2^9 + 
     176*T1^14*T2^9 - 60*T1^15*T2^9 - 10*T1^16*T2^9 + 22*T1^2*T2^10 + 
     10*T1^3*T2^10 - 123*T1^4*T2^10 + 133*T1^5*T2^10 + 160*T1^6*T2^10 + 
     257*T1^7*T2^10 - 234*T1^8*T2^10 + 16*T1^9*T2^10 - 234*T1^10*T2^10 + 
     257*T1^11*T2^10 + 160*T1^12*T2^10 + 133*T1^13*T2^10 - 123*T1^14*T2^10 + 
     10*T1^15*T2^10 + 22*T1^16*T2^10 - 24*T1^3*T2^11 + 10*T1^4*T2^11 + 
     33*T1^5*T2^11 + 133*T1^6*T2^11 - 551*T1^7*T2^11 - 100*T1^8*T2^11 + 
     257*T1^9*T2^11 + 257*T1^10*T2^11 - 100*T1^11*T2^11 - 551*T1^12*T2^11 + 
     133*T1^13*T2^11 + 33*T1^14*T2^11 + 10*T1^15*T2^11 - 24*T1^16*T2^11 + 
     22*T1^4*T2^12 + 10*T1^5*T2^12 - 123*T1^6*T2^12 - 33*T1^7*T2^12 + 
     794*T1^8*T2^12 - 551*T1^9*T2^12 + 160*T1^10*T2^12 - 551*T1^11*T2^12 + 
     794*T1^12*T2^12 - 33*T1^13*T2^12 - 123*T1^14*T2^12 + 10*T1^15*T2^12 + 
     22*T1^16*T2^12 - 24*T1^5*T2^13 + 10*T1^6*T2^13 + 176*T1^7*T2^13 - 
     378*T1^8*T2^13 - 33*T1^9*T2^13 + 133*T1^10*T2^13 + 133*T1^11*T2^13 - 
     33*T1^12*T2^13 - 378*T1^13*T2^13 + 176*T1^14*T2^13 + 10*T1^15*T2^13 - 
     24*T1^16*T2^13 + 22*T1^6*T2^14 - 60*T1^7*T2^14 + 13*T1^8*T2^14 + 
     176*T1^9*T2^14 - 123*T1^10*T2^14 + 33*T1^11*T2^14 - 123*T1^12*T2^14 + 
     176*T1^13*T2^14 + 13*T1^14*T2^14 - 60*T1^15*T2^14 + 22*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 60*T1^9*T2^15 + 10*T1^10*T2^15 + 
     10*T1^11*T2^15 + 10*T1^12*T2^15 + 10*T1^13*T2^15 - 60*T1^14*T2^15 + 
     40*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)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 140] -> 
  {(1 - 9*T + 27*T^2 - 37*T^3 + 27*T^4 - 9*T^5 + T^6)/T^3, 
   (1 - 9*T1 + 27*T1^2 - 37*T1^3 + 27*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
     76*T1*T2 - 172*T1^2*T2 + 93*T1^3*T2 + 93*T1^4*T2 - 172*T1^5*T2 + 
     76*T1^6*T2 - 9*T1^7*T2 + 27*T2^2 - 172*T1*T2^2 - 18*T1^2*T2^2 + 
     1208*T1^3*T2^2 - 1888*T1^4*T2^2 + 1208*T1^5*T2^2 - 18*T1^6*T2^2 - 
     172*T1^7*T2^2 + 27*T1^8*T2^2 - 37*T2^3 + 93*T1*T2^3 + 1208*T1^2*T2^3 - 
     3858*T1^3*T2^3 + 2151*T1^4*T2^3 + 2151*T1^5*T2^3 - 3858*T1^6*T2^3 + 
     1208*T1^7*T2^3 + 93*T1^8*T2^3 - 37*T1^9*T2^3 + 27*T2^4 + 93*T1*T2^4 - 
     1888*T1^2*T2^4 + 2151*T1^3*T2^4 + 6992*T1^4*T2^4 - 12412*T1^5*T2^4 + 
     6992*T1^6*T2^4 + 2151*T1^7*T2^4 - 1888*T1^8*T2^4 + 93*T1^9*T2^4 + 
     27*T1^10*T2^4 - 9*T2^5 - 172*T1*T2^5 + 1208*T1^2*T2^5 + 2151*T1^3*T2^5 - 
     12412*T1^4*T2^5 + 7210*T1^5*T2^5 + 7210*T1^6*T2^5 - 12412*T1^7*T2^5 + 
     2151*T1^8*T2^5 + 1208*T1^9*T2^5 - 172*T1^10*T2^5 - 9*T1^11*T2^5 + T2^6 + 
     76*T1*T2^6 - 18*T1^2*T2^6 - 3858*T1^3*T2^6 + 6992*T1^4*T2^6 + 
     7210*T1^5*T2^6 - 15972*T1^6*T2^6 + 7210*T1^7*T2^6 + 6992*T1^8*T2^6 - 
     3858*T1^9*T2^6 - 18*T1^10*T2^6 + 76*T1^11*T2^6 + T1^12*T2^6 - 
     9*T1*T2^7 - 172*T1^2*T2^7 + 1208*T1^3*T2^7 + 2151*T1^4*T2^7 - 
     12412*T1^5*T2^7 + 7210*T1^6*T2^7 + 7210*T1^7*T2^7 - 12412*T1^8*T2^7 + 
     2151*T1^9*T2^7 + 1208*T1^10*T2^7 - 172*T1^11*T2^7 - 9*T1^12*T2^7 + 
     27*T1^2*T2^8 + 93*T1^3*T2^8 - 1888*T1^4*T2^8 + 2151*T1^5*T2^8 + 
     6992*T1^6*T2^8 - 12412*T1^7*T2^8 + 6992*T1^8*T2^8 + 2151*T1^9*T2^8 - 
     1888*T1^10*T2^8 + 93*T1^11*T2^8 + 27*T1^12*T2^8 - 37*T1^3*T2^9 + 
     93*T1^4*T2^9 + 1208*T1^5*T2^9 - 3858*T1^6*T2^9 + 2151*T1^7*T2^9 + 
     2151*T1^8*T2^9 - 3858*T1^9*T2^9 + 1208*T1^10*T2^9 + 93*T1^11*T2^9 - 
     37*T1^12*T2^9 + 27*T1^4*T2^10 - 172*T1^5*T2^10 - 18*T1^6*T2^10 + 
     1208*T1^7*T2^10 - 1888*T1^8*T2^10 + 1208*T1^9*T2^10 - 18*T1^10*T2^10 - 
     172*T1^11*T2^10 + 27*T1^12*T2^10 - 9*T1^5*T2^11 + 76*T1^6*T2^11 - 
     172*T1^7*T2^11 + 93*T1^8*T2^11 + 93*T1^9*T2^11 - 172*T1^10*T2^11 + 
     76*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 
     27*T1^8*T2^12 - 37*T1^9*T2^12 + 27*T1^10*T2^12 - 9*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 141] -> 
  {-((1 - 5*T + 13*T^2 - 19*T^3 + 13*T^4 - 5*T^5 + T^6)/T^3), 
   (T1 - 2*T1^2 - 2*T1^3 + T1^4 + T2 - 17*T1*T2 + 41*T1^2*T2 - 29*T1^3*T2 + 
     41*T1^4*T2 - 17*T1^5*T2 + T1^6*T2 - 2*T2^2 + 41*T1*T2^2 - 60*T1^2*T2^2 - 
     27*T1^3*T2^2 - 27*T1^4*T2^2 - 60*T1^5*T2^2 + 41*T1^6*T2^2 - 
     2*T1^7*T2^2 - 2*T2^3 - 29*T1*T2^3 - 27*T1^2*T2^3 + 140*T1^3*T2^3 + 
     90*T1^4*T2^3 + 140*T1^5*T2^3 - 27*T1^6*T2^3 - 29*T1^7*T2^3 - 
     2*T1^8*T2^3 + T2^4 + 41*T1*T2^4 - 27*T1^2*T2^4 + 90*T1^3*T2^4 - 
     322*T1^4*T2^4 - 322*T1^5*T2^4 + 90*T1^6*T2^4 - 27*T1^7*T2^4 + 
     41*T1^8*T2^4 + T1^9*T2^4 - 17*T1*T2^5 - 60*T1^2*T2^5 + 140*T1^3*T2^5 - 
     322*T1^4*T2^5 + 1032*T1^5*T2^5 - 322*T1^6*T2^5 + 140*T1^7*T2^5 - 
     60*T1^8*T2^5 - 17*T1^9*T2^5 + T1*T2^6 + 41*T1^2*T2^6 - 27*T1^3*T2^6 + 
     90*T1^4*T2^6 - 322*T1^5*T2^6 - 322*T1^6*T2^6 + 90*T1^7*T2^6 - 
     27*T1^8*T2^6 + 41*T1^9*T2^6 + T1^10*T2^6 - 2*T1^2*T2^7 - 29*T1^3*T2^7 - 
     27*T1^4*T2^7 + 140*T1^5*T2^7 + 90*T1^6*T2^7 + 140*T1^7*T2^7 - 
     27*T1^8*T2^7 - 29*T1^9*T2^7 - 2*T1^10*T2^7 - 2*T1^3*T2^8 + 
     41*T1^4*T2^8 - 60*T1^5*T2^8 - 27*T1^6*T2^8 - 27*T1^7*T2^8 - 
     60*T1^8*T2^8 + 41*T1^9*T2^8 - 2*T1^10*T2^8 + T1^4*T2^9 - 17*T1^5*T2^9 + 
     41*T1^6*T2^9 - 29*T1^7*T2^9 + 41*T1^8*T2^9 - 17*T1^9*T2^9 + T1^10*T2^9 + 
     T1^6*T2^10 - 2*T1^7*T2^10 - 2*T1^8*T2^10 + T1^9*T2^10)/(T1^5*T2^5)}, 
 Knot[12, NonAlternating, 142] -> 
  {(1 - 5*T + 10*T^2 - 11*T^3 + 10*T^4 - 5*T^5 + T^6)/T^3, 
   (1 - 5*T1 + 10*T1^2 - 11*T1^3 + 10*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 25*T1^2*T2 + 5*T1^3*T2 + 5*T1^4*T2 - 25*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 10*T2^2 - 25*T1*T2^2 - 21*T1^2*T2^2 + 
     114*T1^3*T2^2 - 115*T1^4*T2^2 + 114*T1^5*T2^2 - 21*T1^6*T2^2 - 
     25*T1^7*T2^2 + 10*T1^8*T2^2 - 11*T2^3 + 5*T1*T2^3 + 114*T1^2*T2^3 - 
     212*T1^3*T2^3 + 63*T1^4*T2^3 + 63*T1^5*T2^3 - 212*T1^6*T2^3 + 
     114*T1^7*T2^3 + 5*T1^8*T2^3 - 11*T1^9*T2^3 + 10*T2^4 + 5*T1*T2^4 - 
     115*T1^2*T2^4 + 63*T1^3*T2^4 + 292*T1^4*T2^4 - 438*T1^5*T2^4 + 
     292*T1^6*T2^4 + 63*T1^7*T2^4 - 115*T1^8*T2^4 + 5*T1^9*T2^4 + 
     10*T1^10*T2^4 - 5*T2^5 - 25*T1*T2^5 + 114*T1^2*T2^5 + 63*T1^3*T2^5 - 
     438*T1^4*T2^5 + 294*T1^5*T2^5 + 294*T1^6*T2^5 - 438*T1^7*T2^5 + 
     63*T1^8*T2^5 + 114*T1^9*T2^5 - 25*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 - 21*T1^2*T2^6 - 212*T1^3*T2^6 + 292*T1^4*T2^6 + 
     294*T1^5*T2^6 - 804*T1^6*T2^6 + 294*T1^7*T2^6 + 292*T1^8*T2^6 - 
     212*T1^9*T2^6 - 21*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     25*T1^2*T2^7 + 114*T1^3*T2^7 + 63*T1^4*T2^7 - 438*T1^5*T2^7 + 
     294*T1^6*T2^7 + 294*T1^7*T2^7 - 438*T1^8*T2^7 + 63*T1^9*T2^7 + 
     114*T1^10*T2^7 - 25*T1^11*T2^7 - 5*T1^12*T2^7 + 10*T1^2*T2^8 + 
     5*T1^3*T2^8 - 115*T1^4*T2^8 + 63*T1^5*T2^8 + 292*T1^6*T2^8 - 
     438*T1^7*T2^8 + 292*T1^8*T2^8 + 63*T1^9*T2^8 - 115*T1^10*T2^8 + 
     5*T1^11*T2^8 + 10*T1^12*T2^8 - 11*T1^3*T2^9 + 5*T1^4*T2^9 + 
     114*T1^5*T2^9 - 212*T1^6*T2^9 + 63*T1^7*T2^9 + 63*T1^8*T2^9 - 
     212*T1^9*T2^9 + 114*T1^10*T2^9 + 5*T1^11*T2^9 - 11*T1^12*T2^9 + 
     10*T1^4*T2^10 - 25*T1^5*T2^10 - 21*T1^6*T2^10 + 114*T1^7*T2^10 - 
     115*T1^8*T2^10 + 114*T1^9*T2^10 - 21*T1^10*T2^10 - 25*T1^11*T2^10 + 
     10*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 25*T1^7*T2^11 + 
     5*T1^8*T2^11 + 5*T1^9*T2^11 - 25*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 10*T1^8*T2^12 - 
     11*T1^9*T2^12 + 10*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 143] -> 
  {-((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 + 
      12*T1*T2 + 6*T1^2*T2 - 6*T1^3*T2 - 6*T1^4*T2 + 6*T1^5*T2 + 12*T1^6*T2 - 
      6*T1^7*T2 + 4*T2^2 + 6*T1*T2^2 - 39*T1^2*T2^2 + 10*T1^3*T2^2 + 
      13*T1^4*T2^2 + 10*T1^5*T2^2 - 39*T1^6*T2^2 + 6*T1^7*T2^2 + 
      4*T1^8*T2^2 - 2*T2^3 - 6*T1*T2^3 + 10*T1^2*T2^3 + 32*T1^3*T2^3 - 
      24*T1^4*T2^3 - 24*T1^5*T2^3 + 32*T1^6*T2^3 + 10*T1^7*T2^3 - 
      6*T1^8*T2^3 - 2*T1^9*T2^3 + 4*T2^4 - 6*T1*T2^4 + 13*T1^2*T2^4 - 
      24*T1^3*T2^4 + 18*T1^4*T2^4 - 6*T1^5*T2^4 + 18*T1^6*T2^4 - 
      24*T1^7*T2^4 + 13*T1^8*T2^4 - 6*T1^9*T2^4 + 4*T1^10*T2^4 - 6*T2^5 + 
      6*T1*T2^5 + 10*T1^2*T2^5 - 24*T1^3*T2^5 - 6*T1^4*T2^5 + 4*T1^5*T2^5 + 
      4*T1^6*T2^5 - 6*T1^7*T2^5 - 24*T1^8*T2^5 + 10*T1^9*T2^5 + 
      6*T1^10*T2^5 - 6*T1^11*T2^5 + 2*T2^6 + 12*T1*T2^6 - 39*T1^2*T2^6 + 
      32*T1^3*T2^6 + 18*T1^4*T2^6 + 4*T1^5*T2^6 - 12*T1^6*T2^6 + 
      4*T1^7*T2^6 + 18*T1^8*T2^6 + 32*T1^9*T2^6 - 39*T1^10*T2^6 + 
      12*T1^11*T2^6 + 2*T1^12*T2^6 - 6*T1*T2^7 + 6*T1^2*T2^7 + 10*T1^3*T2^7 - 
      24*T1^4*T2^7 - 6*T1^5*T2^7 + 4*T1^6*T2^7 + 4*T1^7*T2^7 - 6*T1^8*T2^7 - 
      24*T1^9*T2^7 + 10*T1^10*T2^7 + 6*T1^11*T2^7 - 6*T1^12*T2^7 + 
      4*T1^2*T2^8 - 6*T1^3*T2^8 + 13*T1^4*T2^8 - 24*T1^5*T2^8 + 
      18*T1^6*T2^8 - 6*T1^7*T2^8 + 18*T1^8*T2^8 - 24*T1^9*T2^8 + 
      13*T1^10*T2^8 - 6*T1^11*T2^8 + 4*T1^12*T2^8 - 2*T1^3*T2^9 - 
      6*T1^4*T2^9 + 10*T1^5*T2^9 + 32*T1^6*T2^9 - 24*T1^7*T2^9 - 
      24*T1^8*T2^9 + 32*T1^9*T2^9 + 10*T1^10*T2^9 - 6*T1^11*T2^9 - 
      2*T1^12*T2^9 + 4*T1^4*T2^10 + 6*T1^5*T2^10 - 39*T1^6*T2^10 + 
      10*T1^7*T2^10 + 13*T1^8*T2^10 + 10*T1^9*T2^10 - 39*T1^10*T2^10 + 
      6*T1^11*T2^10 + 4*T1^12*T2^10 - 6*T1^5*T2^11 + 12*T1^6*T2^11 + 
      6*T1^7*T2^11 - 6*T1^8*T2^11 - 6*T1^9*T2^11 + 6*T1^10*T2^11 + 
      12*T1^11*T2^11 - 6*T1^12*T2^11 + 2*T1^6*T2^12 - 6*T1^7*T2^12 + 
      4*T1^8*T2^12 - 2*T1^9*T2^12 + 4*T1^10*T2^12 - 6*T1^11*T2^12 + 
      2*T1^12*T2^12)/(T1^6*T2^6))}, 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)*
      (1 - 4*T1 + 5*T1^2 - 4*T1^3 + T1^4 - 4*T2 + 14*T1*T2 - 4*T1^2*T2 - 
       4*T1^3*T2 + 14*T1^4*T2 - 4*T1^5*T2 + 5*T2^2 - 4*T1*T2^2 - 
       45*T1^2*T2^2 + 51*T1^3*T2^2 - 45*T1^4*T2^2 - 4*T1^5*T2^2 + 
       5*T1^6*T2^2 - 4*T2^3 - 4*T1*T2^3 + 51*T1^2*T2^3 - 12*T1^3*T2^3 - 
       12*T1^4*T2^3 + 51*T1^5*T2^3 - 4*T1^6*T2^3 - 4*T1^7*T2^3 + T2^4 + 
       14*T1*T2^4 - 45*T1^2*T2^4 - 12*T1^3*T2^4 + 12*T1^4*T2^4 - 
       12*T1^5*T2^4 - 45*T1^6*T2^4 + 14*T1^7*T2^4 + T1^8*T2^4 - 4*T1*T2^5 - 
       4*T1^2*T2^5 + 51*T1^3*T2^5 - 12*T1^4*T2^5 - 12*T1^5*T2^5 + 
       51*T1^6*T2^5 - 4*T1^7*T2^5 - 4*T1^8*T2^5 + 5*T1^2*T2^6 - 4*T1^3*T2^6 - 
       45*T1^4*T2^6 + 51*T1^5*T2^6 - 45*T1^6*T2^6 - 4*T1^7*T2^6 + 
       5*T1^8*T2^6 - 4*T1^3*T2^7 + 14*T1^4*T2^7 - 4*T1^5*T2^7 - 4*T1^6*T2^7 + 
       14*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))/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 145] -> {(1 - 3*T + T^2)^2/T^2, 
   (-4*(1 - 3*T1 + T1^2)*(1 - 3*T2 + T2^2)*(1 - 3*T1*T2 + T1^2*T2^2)*
     (1 + T1 + T2 - 6*T1*T2 + T1^2*T2 + T1*T2^2 + T1^2*T2^2))/(T1^3*T2^3)}, 
 Knot[12, NonAlternating, 146] -> 
  {-((2 - 12*T + 19*T^2 - 12*T^3 + 2*T^4)/T^2), 
   (11 - 67*T1 + 105*T1^2 - 67*T1^3 + 11*T1^4 - 67*T2 + 346*T1*T2 - 
     236*T1^2*T2 - 236*T1^3*T2 + 346*T1^4*T2 - 67*T1^5*T2 + 105*T2^2 - 
     236*T1*T2^2 - 1352*T1^2*T2^2 + 2582*T1^3*T2^2 - 1352*T1^4*T2^2 - 
     236*T1^5*T2^2 + 105*T1^6*T2^2 - 67*T2^3 - 236*T1*T2^3 + 2582*T1^2*T2^3 - 
     1852*T1^3*T2^3 - 1852*T1^4*T2^3 + 2582*T1^5*T2^3 - 236*T1^6*T2^3 - 
     67*T1^7*T2^3 + 11*T2^4 + 346*T1*T2^4 - 1352*T1^2*T2^4 - 1852*T1^3*T2^4 + 
     4596*T1^4*T2^4 - 1852*T1^5*T2^4 - 1352*T1^6*T2^4 + 346*T1^7*T2^4 + 
     11*T1^8*T2^4 - 67*T1*T2^5 - 236*T1^2*T2^5 + 2582*T1^3*T2^5 - 
     1852*T1^4*T2^5 - 1852*T1^5*T2^5 + 2582*T1^6*T2^5 - 236*T1^7*T2^5 - 
     67*T1^8*T2^5 + 105*T1^2*T2^6 - 236*T1^3*T2^6 - 1352*T1^4*T2^6 + 
     2582*T1^5*T2^6 - 1352*T1^6*T2^6 - 236*T1^7*T2^6 + 105*T1^8*T2^6 - 
     67*T1^3*T2^7 + 346*T1^4*T2^7 - 236*T1^5*T2^7 - 236*T1^6*T2^7 + 
     346*T1^7*T2^7 - 67*T1^8*T2^7 + 11*T1^4*T2^8 - 67*T1^5*T2^8 + 
     105*T1^6*T2^8 - 67*T1^7*T2^8 + 11*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 147] -> 
  {((2 - 2*T + T^2)*(1 - T + T^2)*(1 - 2*T + 2*T^2))/T^3, 
   (7 - 27*T1 + 55*T1^2 - 67*T1^3 + 55*T1^4 - 27*T1^5 + 7*T1^6 - 27*T2 + 
     78*T1*T2 - 110*T1^2*T2 + 48*T1^3*T2 + 48*T1^4*T2 - 110*T1^5*T2 + 
     78*T1^6*T2 - 27*T1^7*T2 + 55*T2^2 - 110*T1*T2^2 + 72*T1^2*T2^2 + 
     132*T1^3*T2^2 - 220*T1^4*T2^2 + 132*T1^5*T2^2 + 72*T1^6*T2^2 - 
     110*T1^7*T2^2 + 55*T1^8*T2^2 - 67*T2^3 + 48*T1*T2^3 + 132*T1^2*T2^3 - 
     386*T1^3*T2^3 + 188*T1^4*T2^3 + 188*T1^5*T2^3 - 386*T1^6*T2^3 + 
     132*T1^7*T2^3 + 48*T1^8*T2^3 - 67*T1^9*T2^3 + 55*T2^4 + 48*T1*T2^4 - 
     220*T1^2*T2^4 + 188*T1^3*T2^4 + 431*T1^4*T2^4 - 745*T1^5*T2^4 + 
     431*T1^6*T2^4 + 188*T1^7*T2^4 - 220*T1^8*T2^4 + 48*T1^9*T2^4 + 
     55*T1^10*T2^4 - 27*T2^5 - 110*T1*T2^5 + 132*T1^2*T2^5 + 188*T1^3*T2^5 - 
     745*T1^4*T2^5 + 408*T1^5*T2^5 + 408*T1^6*T2^5 - 745*T1^7*T2^5 + 
     188*T1^8*T2^5 + 132*T1^9*T2^5 - 110*T1^10*T2^5 - 27*T1^11*T2^5 + 
     7*T2^6 + 78*T1*T2^6 + 72*T1^2*T2^6 - 386*T1^3*T2^6 + 431*T1^4*T2^6 + 
     408*T1^5*T2^6 - 900*T1^6*T2^6 + 408*T1^7*T2^6 + 431*T1^8*T2^6 - 
     386*T1^9*T2^6 + 72*T1^10*T2^6 + 78*T1^11*T2^6 + 7*T1^12*T2^6 - 
     27*T1*T2^7 - 110*T1^2*T2^7 + 132*T1^3*T2^7 + 188*T1^4*T2^7 - 
     745*T1^5*T2^7 + 408*T1^6*T2^7 + 408*T1^7*T2^7 - 745*T1^8*T2^7 + 
     188*T1^9*T2^7 + 132*T1^10*T2^7 - 110*T1^11*T2^7 - 27*T1^12*T2^7 + 
     55*T1^2*T2^8 + 48*T1^3*T2^8 - 220*T1^4*T2^8 + 188*T1^5*T2^8 + 
     431*T1^6*T2^8 - 745*T1^7*T2^8 + 431*T1^8*T2^8 + 188*T1^9*T2^8 - 
     220*T1^10*T2^8 + 48*T1^11*T2^8 + 55*T1^12*T2^8 - 67*T1^3*T2^9 + 
     48*T1^4*T2^9 + 132*T1^5*T2^9 - 386*T1^6*T2^9 + 188*T1^7*T2^9 + 
     188*T1^8*T2^9 - 386*T1^9*T2^9 + 132*T1^10*T2^9 + 48*T1^11*T2^9 - 
     67*T1^12*T2^9 + 55*T1^4*T2^10 - 110*T1^5*T2^10 + 72*T1^6*T2^10 + 
     132*T1^7*T2^10 - 220*T1^8*T2^10 + 132*T1^9*T2^10 + 72*T1^10*T2^10 - 
     110*T1^11*T2^10 + 55*T1^12*T2^10 - 27*T1^5*T2^11 + 78*T1^6*T2^11 - 
     110*T1^7*T2^11 + 48*T1^8*T2^11 + 48*T1^9*T2^11 - 110*T1^10*T2^11 + 
     78*T1^11*T2^11 - 27*T1^12*T2^11 + 7*T1^6*T2^12 - 27*T1^7*T2^12 + 
     55*T1^8*T2^12 - 67*T1^9*T2^12 + 55*T1^10*T2^12 - 27*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 148] -> 
  {(1 + T - 5*T^2 + 7*T^3 - 5*T^4 + T^5 + T^6)/T^3, 
   -((3 + 3*T1 - 15*T1^2 + 21*T1^3 - 15*T1^4 + 3*T1^5 + 3*T1^6 + 3*T2 + 
      4*T1*T2 - 8*T1^2*T2 + 4*T1^3*T2 + 4*T1^4*T2 - 8*T1^5*T2 + 4*T1^6*T2 + 
      3*T1^7*T2 - 15*T2^2 - 8*T1*T2^2 + 59*T1^2*T2^2 - 129*T1^3*T2^2 + 
      163*T1^4*T2^2 - 129*T1^5*T2^2 + 59*T1^6*T2^2 - 8*T1^7*T2^2 - 
      15*T1^8*T2^2 + 21*T2^3 + 4*T1*T2^3 - 129*T1^2*T2^3 + 196*T1^3*T2^3 - 
      94*T1^4*T2^3 - 94*T1^5*T2^3 + 196*T1^6*T2^3 - 129*T1^7*T2^3 + 
      4*T1^8*T2^3 + 21*T1^9*T2^3 - 15*T2^4 + 4*T1*T2^4 + 163*T1^2*T2^4 - 
      94*T1^3*T2^4 - 118*T1^4*T2^4 + 228*T1^5*T2^4 - 118*T1^6*T2^4 - 
      94*T1^7*T2^4 + 163*T1^8*T2^4 + 4*T1^9*T2^4 - 15*T1^10*T2^4 + 3*T2^5 - 
      8*T1*T2^5 - 129*T1^2*T2^5 - 94*T1^3*T2^5 + 228*T1^4*T2^5 - 
      120*T1^5*T2^5 - 120*T1^6*T2^5 + 228*T1^7*T2^5 - 94*T1^8*T2^5 - 
      129*T1^9*T2^5 - 8*T1^10*T2^5 + 3*T1^11*T2^5 + 3*T2^6 + 4*T1*T2^6 + 
      59*T1^2*T2^6 + 196*T1^3*T2^6 - 118*T1^4*T2^6 - 120*T1^5*T2^6 + 
      252*T1^6*T2^6 - 120*T1^7*T2^6 - 118*T1^8*T2^6 + 196*T1^9*T2^6 + 
      59*T1^10*T2^6 + 4*T1^11*T2^6 + 3*T1^12*T2^6 + 3*T1*T2^7 - 8*T1^2*T2^7 - 
      129*T1^3*T2^7 - 94*T1^4*T2^7 + 228*T1^5*T2^7 - 120*T1^6*T2^7 - 
      120*T1^7*T2^7 + 228*T1^8*T2^7 - 94*T1^9*T2^7 - 129*T1^10*T2^7 - 
      8*T1^11*T2^7 + 3*T1^12*T2^7 - 15*T1^2*T2^8 + 4*T1^3*T2^8 + 
      163*T1^4*T2^8 - 94*T1^5*T2^8 - 118*T1^6*T2^8 + 228*T1^7*T2^8 - 
      118*T1^8*T2^8 - 94*T1^9*T2^8 + 163*T1^10*T2^8 + 4*T1^11*T2^8 - 
      15*T1^12*T2^8 + 21*T1^3*T2^9 + 4*T1^4*T2^9 - 129*T1^5*T2^9 + 
      196*T1^6*T2^9 - 94*T1^7*T2^9 - 94*T1^8*T2^9 + 196*T1^9*T2^9 - 
      129*T1^10*T2^9 + 4*T1^11*T2^9 + 21*T1^12*T2^9 - 15*T1^4*T2^10 - 
      8*T1^5*T2^10 + 59*T1^6*T2^10 - 129*T1^7*T2^10 + 163*T1^8*T2^10 - 
      129*T1^9*T2^10 + 59*T1^10*T2^10 - 8*T1^11*T2^10 - 15*T1^12*T2^10 + 
      3*T1^5*T2^11 + 4*T1^6*T2^11 - 8*T1^7*T2^11 + 4*T1^8*T2^11 + 
      4*T1^9*T2^11 - 8*T1^10*T2^11 + 4*T1^11*T2^11 + 3*T1^12*T2^11 + 
      3*T1^6*T2^12 + 3*T1^7*T2^12 - 15*T1^8*T2^12 + 21*T1^9*T2^12 - 
      15*T1^10*T2^12 + 3*T1^11*T2^12 + 3*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 149] -> {(2 - T - T^2 - T^3 + 2*T^4)/T^2, 
   -((17 - 7*T1 - 11*T1^2 - 7*T1^3 + 17*T1^4 - 7*T2 - 8*T1*T2 + 12*T1^2*T2 + 
      12*T1^3*T2 - 8*T1^4*T2 - 7*T1^5*T2 - 11*T2^2 + 12*T1*T2^2 - 
      10*T1^2*T2^2 + 4*T1^3*T2^2 - 10*T1^4*T2^2 + 12*T1^5*T2^2 - 
      11*T1^6*T2^2 - 7*T2^3 + 12*T1*T2^3 + 4*T1^2*T2^3 - 6*T1^3*T2^3 - 
      6*T1^4*T2^3 + 4*T1^5*T2^3 + 12*T1^6*T2^3 - 7*T1^7*T2^3 + 17*T2^4 - 
      8*T1*T2^4 - 10*T1^2*T2^4 - 6*T1^3*T2^4 + 24*T1^4*T2^4 - 6*T1^5*T2^4 - 
      10*T1^6*T2^4 - 8*T1^7*T2^4 + 17*T1^8*T2^4 - 7*T1*T2^5 + 12*T1^2*T2^5 + 
      4*T1^3*T2^5 - 6*T1^4*T2^5 - 6*T1^5*T2^5 + 4*T1^6*T2^5 + 12*T1^7*T2^5 - 
      7*T1^8*T2^5 - 11*T1^2*T2^6 + 12*T1^3*T2^6 - 10*T1^4*T2^6 + 
      4*T1^5*T2^6 - 10*T1^6*T2^6 + 12*T1^7*T2^6 - 11*T1^8*T2^6 - 
      7*T1^3*T2^7 - 8*T1^4*T2^7 + 12*T1^5*T2^7 + 12*T1^6*T2^7 - 8*T1^7*T2^7 - 
      7*T1^8*T2^7 + 17*T1^4*T2^8 - 7*T1^5*T2^8 - 11*T1^6*T2^8 - 7*T1^7*T2^8 + 
      17*T1^8*T2^8)/(T1^4*T2^4))}, 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, 
   (2 - 10*T1 + 20*T1^2 - 18*T1^3 + 14*T1^4 - 18*T1^5 + 20*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 50*T1^2*T2 - 10*T1^3*T2 + 20*T1^4*T2 + 
     20*T1^5*T2 - 10*T1^6*T2 - 50*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     20*T2^2 - 50*T1*T2^2 - 30*T1^2*T2^2 + 222*T1^3*T2^2 - 112*T1^4*T2^2 - 
     8*T1^5*T2^2 - 112*T1^6*T2^2 + 222*T1^7*T2^2 - 30*T1^8*T2^2 - 
     50*T1^9*T2^2 + 20*T1^10*T2^2 - 18*T2^3 - 10*T1*T2^3 + 222*T1^2*T2^3 - 
     362*T1^3*T2^3 - 138*T1^4*T2^3 + 185*T1^5*T2^3 + 185*T1^6*T2^3 - 
     138*T1^7*T2^3 - 362*T1^8*T2^3 + 222*T1^9*T2^3 - 10*T1^10*T2^3 - 
     18*T1^11*T2^3 + 14*T2^4 + 20*T1*T2^4 - 112*T1^2*T2^4 - 138*T1^3*T2^4 + 
     861*T1^4*T2^4 - 455*T1^5*T2^4 + 17*T1^6*T2^4 - 455*T1^7*T2^4 + 
     861*T1^8*T2^4 - 138*T1^9*T2^4 - 112*T1^10*T2^4 + 20*T1^11*T2^4 + 
     14*T1^12*T2^4 - 18*T2^5 + 20*T1*T2^5 - 8*T1^2*T2^5 + 185*T1^3*T2^5 - 
     455*T1^4*T2^5 - 212*T1^5*T2^5 + 266*T1^6*T2^5 + 266*T1^7*T2^5 - 
     212*T1^8*T2^5 - 455*T1^9*T2^5 + 185*T1^10*T2^5 - 8*T1^11*T2^5 + 
     20*T1^12*T2^5 - 18*T1^13*T2^5 + 20*T2^6 - 10*T1*T2^6 - 112*T1^2*T2^6 + 
     185*T1^3*T2^6 + 17*T1^4*T2^6 + 266*T1^5*T2^6 - 179*T1^6*T2^6 + 
     35*T1^7*T2^6 - 179*T1^8*T2^6 + 266*T1^9*T2^6 + 17*T1^10*T2^6 + 
     185*T1^11*T2^6 - 112*T1^12*T2^6 - 10*T1^13*T2^6 + 20*T1^14*T2^6 - 
     10*T2^7 - 50*T1*T2^7 + 222*T1^2*T2^7 - 138*T1^3*T2^7 - 455*T1^4*T2^7 + 
     266*T1^5*T2^7 + 35*T1^6*T2^7 - 68*T1^7*T2^7 - 68*T1^8*T2^7 + 
     35*T1^9*T2^7 + 266*T1^10*T2^7 - 455*T1^11*T2^7 - 138*T1^12*T2^7 + 
     222*T1^13*T2^7 - 50*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 - 
     30*T1^2*T2^8 - 362*T1^3*T2^8 + 861*T1^4*T2^8 - 212*T1^5*T2^8 - 
     179*T1^6*T2^8 - 68*T1^7*T2^8 + 300*T1^8*T2^8 - 68*T1^9*T2^8 - 
     179*T1^10*T2^8 - 212*T1^11*T2^8 + 861*T1^12*T2^8 - 362*T1^13*T2^8 - 
     30*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     50*T1^2*T2^9 + 222*T1^3*T2^9 - 138*T1^4*T2^9 - 455*T1^5*T2^9 + 
     266*T1^6*T2^9 + 35*T1^7*T2^9 - 68*T1^8*T2^9 - 68*T1^9*T2^9 + 
     35*T1^10*T2^9 + 266*T1^11*T2^9 - 455*T1^12*T2^9 - 138*T1^13*T2^9 + 
     222*T1^14*T2^9 - 50*T1^15*T2^9 - 10*T1^16*T2^9 + 20*T1^2*T2^10 - 
     10*T1^3*T2^10 - 112*T1^4*T2^10 + 185*T1^5*T2^10 + 17*T1^6*T2^10 + 
     266*T1^7*T2^10 - 179*T1^8*T2^10 + 35*T1^9*T2^10 - 179*T1^10*T2^10 + 
     266*T1^11*T2^10 + 17*T1^12*T2^10 + 185*T1^13*T2^10 - 112*T1^14*T2^10 - 
     10*T1^15*T2^10 + 20*T1^16*T2^10 - 18*T1^3*T2^11 + 20*T1^4*T2^11 - 
     8*T1^5*T2^11 + 185*T1^6*T2^11 - 455*T1^7*T2^11 - 212*T1^8*T2^11 + 
     266*T1^9*T2^11 + 266*T1^10*T2^11 - 212*T1^11*T2^11 - 455*T1^12*T2^11 + 
     185*T1^13*T2^11 - 8*T1^14*T2^11 + 20*T1^15*T2^11 - 18*T1^16*T2^11 + 
     14*T1^4*T2^12 + 20*T1^5*T2^12 - 112*T1^6*T2^12 - 138*T1^7*T2^12 + 
     861*T1^8*T2^12 - 455*T1^9*T2^12 + 17*T1^10*T2^12 - 455*T1^11*T2^12 + 
     861*T1^12*T2^12 - 138*T1^13*T2^12 - 112*T1^14*T2^12 + 20*T1^15*T2^12 + 
     14*T1^16*T2^12 - 18*T1^5*T2^13 - 10*T1^6*T2^13 + 222*T1^7*T2^13 - 
     362*T1^8*T2^13 - 138*T1^9*T2^13 + 185*T1^10*T2^13 + 185*T1^11*T2^13 - 
     138*T1^12*T2^13 - 362*T1^13*T2^13 + 222*T1^14*T2^13 - 10*T1^15*T2^13 - 
     18*T1^16*T2^13 + 20*T1^6*T2^14 - 50*T1^7*T2^14 - 30*T1^8*T2^14 + 
     222*T1^9*T2^14 - 112*T1^10*T2^14 - 8*T1^11*T2^14 - 112*T1^12*T2^14 + 
     222*T1^13*T2^14 - 30*T1^14*T2^14 - 50*T1^15*T2^14 + 20*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 50*T1^9*T2^15 - 10*T1^10*T2^15 + 
     20*T1^11*T2^15 + 20*T1^12*T2^15 - 10*T1^13*T2^15 - 50*T1^14*T2^15 + 
     40*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)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 151] -> 
  {(1 - 8*T + 24*T^2 - 33*T^3 + 24*T^4 - 8*T^5 + T^6)/T^3, 
   (1 - 8*T1 + 24*T1^2 - 33*T1^3 + 24*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
     58*T1*T2 - 134*T1^2*T2 + 74*T1^3*T2 + 74*T1^4*T2 - 134*T1^5*T2 + 
     58*T1^6*T2 - 8*T1^7*T2 + 24*T2^2 - 134*T1*T2^2 + 88*T1^2*T2^2 + 
     612*T1^3*T2^2 - 1032*T1^4*T2^2 + 612*T1^5*T2^2 + 88*T1^6*T2^2 - 
     134*T1^7*T2^2 + 24*T1^8*T2^2 - 33*T2^3 + 74*T1*T2^3 + 612*T1^2*T2^3 - 
     2214*T1^3*T2^3 + 1265*T1^4*T2^3 + 1265*T1^5*T2^3 - 2214*T1^6*T2^3 + 
     612*T1^7*T2^3 + 74*T1^8*T2^3 - 33*T1^9*T2^3 + 24*T2^4 + 74*T1*T2^4 - 
     1032*T1^2*T2^4 + 1265*T1^3*T2^4 + 4042*T1^4*T2^4 - 7266*T1^5*T2^4 + 
     4042*T1^6*T2^4 + 1265*T1^7*T2^4 - 1032*T1^8*T2^4 + 74*T1^9*T2^4 + 
     24*T1^10*T2^4 - 8*T2^5 - 134*T1*T2^5 + 612*T1^2*T2^5 + 1265*T1^3*T2^5 - 
     7266*T1^4*T2^5 + 4286*T1^5*T2^5 + 4286*T1^6*T2^5 - 7266*T1^7*T2^5 + 
     1265*T1^8*T2^5 + 612*T1^9*T2^5 - 134*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
     58*T1*T2^6 + 88*T1^2*T2^6 - 2214*T1^3*T2^6 + 4042*T1^4*T2^6 + 
     4286*T1^5*T2^6 - 9576*T1^6*T2^6 + 4286*T1^7*T2^6 + 4042*T1^8*T2^6 - 
     2214*T1^9*T2^6 + 88*T1^10*T2^6 + 58*T1^11*T2^6 + T1^12*T2^6 - 
     8*T1*T2^7 - 134*T1^2*T2^7 + 612*T1^3*T2^7 + 1265*T1^4*T2^7 - 
     7266*T1^5*T2^7 + 4286*T1^6*T2^7 + 4286*T1^7*T2^7 - 7266*T1^8*T2^7 + 
     1265*T1^9*T2^7 + 612*T1^10*T2^7 - 134*T1^11*T2^7 - 8*T1^12*T2^7 + 
     24*T1^2*T2^8 + 74*T1^3*T2^8 - 1032*T1^4*T2^8 + 1265*T1^5*T2^8 + 
     4042*T1^6*T2^8 - 7266*T1^7*T2^8 + 4042*T1^8*T2^8 + 1265*T1^9*T2^8 - 
     1032*T1^10*T2^8 + 74*T1^11*T2^8 + 24*T1^12*T2^8 - 33*T1^3*T2^9 + 
     74*T1^4*T2^9 + 612*T1^5*T2^9 - 2214*T1^6*T2^9 + 1265*T1^7*T2^9 + 
     1265*T1^8*T2^9 - 2214*T1^9*T2^9 + 612*T1^10*T2^9 + 74*T1^11*T2^9 - 
     33*T1^12*T2^9 + 24*T1^4*T2^10 - 134*T1^5*T2^10 + 88*T1^6*T2^10 + 
     612*T1^7*T2^10 - 1032*T1^8*T2^10 + 612*T1^9*T2^10 + 88*T1^10*T2^10 - 
     134*T1^11*T2^10 + 24*T1^12*T2^10 - 8*T1^5*T2^11 + 58*T1^6*T2^11 - 
     134*T1^7*T2^11 + 74*T1^8*T2^11 + 74*T1^9*T2^11 - 134*T1^10*T2^11 + 
     58*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
     24*T1^8*T2^12 - 33*T1^9*T2^12 + 24*T1^10*T2^12 - 8*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 152] -> 
  {-((1 - 6*T + 16*T^2 - 23*T^3 + 16*T^4 - 6*T^5 + T^6)/T^3), 
   (T1 - 2*T1^2 - 2*T1^3 + T1^4 + T2 - 13*T1*T2 + 29*T1^2*T2 - 11*T1^3*T2 + 
     29*T1^4*T2 - 13*T1^5*T2 + T1^6*T2 - 2*T2^2 + 29*T1*T2^2 - 42*T1^2*T2^2 - 
     43*T1^3*T2^2 - 43*T1^4*T2^2 - 42*T1^5*T2^2 + 29*T1^6*T2^2 - 
     2*T1^7*T2^2 - 2*T2^3 - 11*T1*T2^3 - 43*T1^2*T2^3 + 170*T1^3*T2^3 + 
     108*T1^4*T2^3 + 170*T1^5*T2^3 - 43*T1^6*T2^3 - 11*T1^7*T2^3 - 
     2*T1^8*T2^3 + T2^4 + 29*T1*T2^4 - 43*T1^2*T2^4 + 108*T1^3*T2^4 - 
     404*T1^4*T2^4 - 404*T1^5*T2^4 + 108*T1^6*T2^4 - 43*T1^7*T2^4 + 
     29*T1^8*T2^4 + T1^9*T2^4 - 13*T1*T2^5 - 42*T1^2*T2^5 + 170*T1^3*T2^5 - 
     404*T1^4*T2^5 + 1332*T1^5*T2^5 - 404*T1^6*T2^5 + 170*T1^7*T2^5 - 
     42*T1^8*T2^5 - 13*T1^9*T2^5 + T1*T2^6 + 29*T1^2*T2^6 - 43*T1^3*T2^6 + 
     108*T1^4*T2^6 - 404*T1^5*T2^6 - 404*T1^6*T2^6 + 108*T1^7*T2^6 - 
     43*T1^8*T2^6 + 29*T1^9*T2^6 + T1^10*T2^6 - 2*T1^2*T2^7 - 11*T1^3*T2^7 - 
     43*T1^4*T2^7 + 170*T1^5*T2^7 + 108*T1^6*T2^7 + 170*T1^7*T2^7 - 
     43*T1^8*T2^7 - 11*T1^9*T2^7 - 2*T1^10*T2^7 - 2*T1^3*T2^8 + 
     29*T1^4*T2^8 - 42*T1^5*T2^8 - 43*T1^6*T2^8 - 43*T1^7*T2^8 - 
     42*T1^8*T2^8 + 29*T1^9*T2^8 - 2*T1^10*T2^8 + T1^4*T2^9 - 13*T1^5*T2^9 + 
     29*T1^6*T2^9 - 11*T1^7*T2^9 + 29*T1^8*T2^9 - 13*T1^9*T2^9 + T1^10*T2^9 + 
     T1^6*T2^10 - 2*T1^7*T2^10 - 2*T1^8*T2^10 + T1^9*T2^10)/(T1^5*T2^5)}, 
 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, 
   (33 - 65*T1 + 48*T1^2 + 17*T1^3 - 49*T1^4 + 17*T1^5 + 48*T1^6 - 65*T1^7 + 
     33*T1^8 - 65*T2 + 64*T1*T2 + 33*T1^2*T2 - 129*T1^3*T2 + 64*T1^4*T2 + 
     64*T1^5*T2 - 129*T1^6*T2 + 33*T1^7*T2 + 64*T1^8*T2 - 65*T1^9*T2 + 
     48*T2^2 + 33*T1*T2^2 - 138*T1^2*T2^2 + 121*T1^3*T2^2 + 65*T1^4*T2^2 - 
     146*T1^5*T2^2 + 65*T1^6*T2^2 + 121*T1^7*T2^2 - 138*T1^8*T2^2 + 
     33*T1^9*T2^2 + 48*T1^10*T2^2 + 17*T2^3 - 129*T1*T2^3 + 121*T1^2*T2^3 + 
     58*T1^3*T2^3 - 223*T1^4*T2^3 + 114*T1^5*T2^3 + 114*T1^6*T2^3 - 
     223*T1^7*T2^3 + 58*T1^8*T2^3 + 121*T1^9*T2^3 - 129*T1^10*T2^3 + 
     17*T1^11*T2^3 - 49*T2^4 + 64*T1*T2^4 + 65*T1^2*T2^4 - 223*T1^3*T2^4 + 
     155*T1^4*T2^4 + 100*T1^5*T2^4 - 247*T1^6*T2^4 + 100*T1^7*T2^4 + 
     155*T1^8*T2^4 - 223*T1^9*T2^4 + 65*T1^10*T2^4 + 64*T1^11*T2^4 - 
     49*T1^12*T2^4 + 17*T2^5 + 64*T1*T2^5 - 146*T1^2*T2^5 + 114*T1^3*T2^5 + 
     100*T1^4*T2^5 - 230*T1^5*T2^5 + 134*T1^6*T2^5 + 134*T1^7*T2^5 - 
     230*T1^8*T2^5 + 100*T1^9*T2^5 + 114*T1^10*T2^5 - 146*T1^11*T2^5 + 
     64*T1^12*T2^5 + 17*T1^13*T2^5 + 48*T2^6 - 129*T1*T2^6 + 65*T1^2*T2^6 + 
     114*T1^3*T2^6 - 247*T1^4*T2^6 + 134*T1^5*T2^6 + 110*T1^6*T2^6 - 
     256*T1^7*T2^6 + 110*T1^8*T2^6 + 134*T1^9*T2^6 - 247*T1^10*T2^6 + 
     114*T1^11*T2^6 + 65*T1^12*T2^6 - 129*T1^13*T2^6 + 48*T1^14*T2^6 - 
     65*T2^7 + 33*T1*T2^7 + 121*T1^2*T2^7 - 223*T1^3*T2^7 + 100*T1^4*T2^7 + 
     134*T1^5*T2^7 - 256*T1^6*T2^7 + 126*T1^7*T2^7 + 126*T1^8*T2^7 - 
     256*T1^9*T2^7 + 134*T1^10*T2^7 + 100*T1^11*T2^7 - 223*T1^12*T2^7 + 
     121*T1^13*T2^7 + 33*T1^14*T2^7 - 65*T1^15*T2^7 + 33*T2^8 + 64*T1*T2^8 - 
     138*T1^2*T2^8 + 58*T1^3*T2^8 + 155*T1^4*T2^8 - 230*T1^5*T2^8 + 
     110*T1^6*T2^8 + 126*T1^7*T2^8 - 228*T1^8*T2^8 + 126*T1^9*T2^8 + 
     110*T1^10*T2^8 - 230*T1^11*T2^8 + 155*T1^12*T2^8 + 58*T1^13*T2^8 - 
     138*T1^14*T2^8 + 64*T1^15*T2^8 + 33*T1^16*T2^8 - 65*T1*T2^9 + 
     33*T1^2*T2^9 + 121*T1^3*T2^9 - 223*T1^4*T2^9 + 100*T1^5*T2^9 + 
     134*T1^6*T2^9 - 256*T1^7*T2^9 + 126*T1^8*T2^9 + 126*T1^9*T2^9 - 
     256*T1^10*T2^9 + 134*T1^11*T2^9 + 100*T1^12*T2^9 - 223*T1^13*T2^9 + 
     121*T1^14*T2^9 + 33*T1^15*T2^9 - 65*T1^16*T2^9 + 48*T1^2*T2^10 - 
     129*T1^3*T2^10 + 65*T1^4*T2^10 + 114*T1^5*T2^10 - 247*T1^6*T2^10 + 
     134*T1^7*T2^10 + 110*T1^8*T2^10 - 256*T1^9*T2^10 + 110*T1^10*T2^10 + 
     134*T1^11*T2^10 - 247*T1^12*T2^10 + 114*T1^13*T2^10 + 65*T1^14*T2^10 - 
     129*T1^15*T2^10 + 48*T1^16*T2^10 + 17*T1^3*T2^11 + 64*T1^4*T2^11 - 
     146*T1^5*T2^11 + 114*T1^6*T2^11 + 100*T1^7*T2^11 - 230*T1^8*T2^11 + 
     134*T1^9*T2^11 + 134*T1^10*T2^11 - 230*T1^11*T2^11 + 100*T1^12*T2^11 + 
     114*T1^13*T2^11 - 146*T1^14*T2^11 + 64*T1^15*T2^11 + 17*T1^16*T2^11 - 
     49*T1^4*T2^12 + 64*T1^5*T2^12 + 65*T1^6*T2^12 - 223*T1^7*T2^12 + 
     155*T1^8*T2^12 + 100*T1^9*T2^12 - 247*T1^10*T2^12 + 100*T1^11*T2^12 + 
     155*T1^12*T2^12 - 223*T1^13*T2^12 + 65*T1^14*T2^12 + 64*T1^15*T2^12 - 
     49*T1^16*T2^12 + 17*T1^5*T2^13 - 129*T1^6*T2^13 + 121*T1^7*T2^13 + 
     58*T1^8*T2^13 - 223*T1^9*T2^13 + 114*T1^10*T2^13 + 114*T1^11*T2^13 - 
     223*T1^12*T2^13 + 58*T1^13*T2^13 + 121*T1^14*T2^13 - 129*T1^15*T2^13 + 
     17*T1^16*T2^13 + 48*T1^6*T2^14 + 33*T1^7*T2^14 - 138*T1^8*T2^14 + 
     121*T1^9*T2^14 + 65*T1^10*T2^14 - 146*T1^11*T2^14 + 65*T1^12*T2^14 + 
     121*T1^13*T2^14 - 138*T1^14*T2^14 + 33*T1^15*T2^14 + 48*T1^16*T2^14 - 
     65*T1^7*T2^15 + 64*T1^8*T2^15 + 33*T1^9*T2^15 - 129*T1^10*T2^15 + 
     64*T1^11*T2^15 + 64*T1^12*T2^15 - 129*T1^13*T2^15 + 33*T1^14*T2^15 + 
     64*T1^15*T2^15 - 65*T1^16*T2^15 + 33*T1^8*T2^16 - 65*T1^9*T2^16 + 
     48*T1^10*T2^16 + 17*T1^11*T2^16 - 49*T1^12*T2^16 + 17*T1^13*T2^16 + 
     48*T1^14*T2^16 - 65*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 154] -> 
  {(2 - 6*T + 10*T^2 - 11*T^3 + 10*T^4 - 6*T^5 + 2*T^6)/T^3, 
   -((9 - 26*T1 + 42*T1^2 - 45*T1^3 + 42*T1^4 - 26*T1^5 + 9*T1^6 - 26*T2 + 
      50*T1*T2 - 48*T1^2*T2 + 10*T1^3*T2 + 10*T1^4*T2 - 48*T1^5*T2 + 
      50*T1^6*T2 - 26*T1^7*T2 + 42*T2^2 - 48*T1*T2^2 - 5*T1^2*T2^2 + 
      97*T1^3*T2^2 - 99*T1^4*T2^2 + 97*T1^5*T2^2 - 5*T1^6*T2^2 - 
      48*T1^7*T2^2 + 42*T1^8*T2^2 - 45*T2^3 + 10*T1*T2^3 + 97*T1^2*T2^3 - 
      170*T1^3*T2^3 + 53*T1^4*T2^3 + 53*T1^5*T2^3 - 170*T1^6*T2^3 + 
      97*T1^7*T2^3 + 10*T1^8*T2^3 - 45*T1^9*T2^3 + 42*T2^4 + 10*T1*T2^4 - 
      99*T1^2*T2^4 + 53*T1^3*T2^4 + 143*T1^4*T2^4 - 199*T1^5*T2^4 + 
      143*T1^6*T2^4 + 53*T1^7*T2^4 - 99*T1^8*T2^4 + 10*T1^9*T2^4 + 
      42*T1^10*T2^4 - 26*T2^5 - 48*T1*T2^5 + 97*T1^2*T2^5 + 53*T1^3*T2^5 - 
      199*T1^4*T2^5 + 98*T1^5*T2^5 + 98*T1^6*T2^5 - 199*T1^7*T2^5 + 
      53*T1^8*T2^5 + 97*T1^9*T2^5 - 48*T1^10*T2^5 - 26*T1^11*T2^5 + 9*T2^6 + 
      50*T1*T2^6 - 5*T1^2*T2^6 - 170*T1^3*T2^6 + 143*T1^4*T2^6 + 
      98*T1^5*T2^6 - 228*T1^6*T2^6 + 98*T1^7*T2^6 + 143*T1^8*T2^6 - 
      170*T1^9*T2^6 - 5*T1^10*T2^6 + 50*T1^11*T2^6 + 9*T1^12*T2^6 - 
      26*T1*T2^7 - 48*T1^2*T2^7 + 97*T1^3*T2^7 + 53*T1^4*T2^7 - 
      199*T1^5*T2^7 + 98*T1^6*T2^7 + 98*T1^7*T2^7 - 199*T1^8*T2^7 + 
      53*T1^9*T2^7 + 97*T1^10*T2^7 - 48*T1^11*T2^7 - 26*T1^12*T2^7 + 
      42*T1^2*T2^8 + 10*T1^3*T2^8 - 99*T1^4*T2^8 + 53*T1^5*T2^8 + 
      143*T1^6*T2^8 - 199*T1^7*T2^8 + 143*T1^8*T2^8 + 53*T1^9*T2^8 - 
      99*T1^10*T2^8 + 10*T1^11*T2^8 + 42*T1^12*T2^8 - 45*T1^3*T2^9 + 
      10*T1^4*T2^9 + 97*T1^5*T2^9 - 170*T1^6*T2^9 + 53*T1^7*T2^9 + 
      53*T1^8*T2^9 - 170*T1^9*T2^9 + 97*T1^10*T2^9 + 10*T1^11*T2^9 - 
      45*T1^12*T2^9 + 42*T1^4*T2^10 - 48*T1^5*T2^10 - 5*T1^6*T2^10 + 
      97*T1^7*T2^10 - 99*T1^8*T2^10 + 97*T1^9*T2^10 - 5*T1^10*T2^10 - 
      48*T1^11*T2^10 + 42*T1^12*T2^10 - 26*T1^5*T2^11 + 50*T1^6*T2^11 - 
      48*T1^7*T2^11 + 10*T1^8*T2^11 + 10*T1^9*T2^11 - 48*T1^10*T2^11 + 
      50*T1^11*T2^11 - 26*T1^12*T2^11 + 9*T1^6*T2^12 - 26*T1^7*T2^12 + 
      42*T1^8*T2^12 - 45*T1^9*T2^12 + 42*T1^10*T2^12 - 26*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 155] -> 
  {-((2 - 10*T + 20*T^2 - 25*T^3 + 20*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((17 - 84*T1 + 166*T1^2 - 207*T1^3 + 166*T1^4 - 84*T1^5 + 17*T1^6 - 
      84*T2 + 332*T1*T2 - 400*T1^2*T2 + 200*T1^3*T2 + 200*T1^4*T2 - 
      400*T1^5*T2 + 332*T1^6*T2 - 84*T1^7*T2 + 166*T2^2 - 400*T1*T2^2 - 
      321*T1^2*T2^2 + 1299*T1^3*T2^2 - 1917*T1^4*T2^2 + 1299*T1^5*T2^2 - 
      321*T1^6*T2^2 - 400*T1^7*T2^2 + 166*T1^8*T2^2 - 207*T2^3 + 
      200*T1*T2^3 + 1299*T1^2*T2^3 - 1744*T1^3*T2^3 + 1033*T1^4*T2^3 + 
      1033*T1^5*T2^3 - 1744*T1^6*T2^3 + 1299*T1^7*T2^3 + 200*T1^8*T2^3 - 
      207*T1^9*T2^3 + 166*T2^4 + 200*T1*T2^4 - 1917*T1^2*T2^4 + 
      1033*T1^3*T2^4 + 228*T1^4*T2^4 - 1636*T1^5*T2^4 + 228*T1^6*T2^4 + 
      1033*T1^7*T2^4 - 1917*T1^8*T2^4 + 200*T1^9*T2^4 + 166*T1^10*T2^4 - 
      84*T2^5 - 400*T1*T2^5 + 1299*T1^2*T2^5 + 1033*T1^3*T2^5 - 
      1636*T1^4*T2^5 + 1384*T1^5*T2^5 + 1384*T1^6*T2^5 - 1636*T1^7*T2^5 + 
      1033*T1^8*T2^5 + 1299*T1^9*T2^5 - 400*T1^10*T2^5 - 84*T1^11*T2^5 + 
      17*T2^6 + 332*T1*T2^6 - 321*T1^2*T2^6 - 1744*T1^3*T2^6 + 
      228*T1^4*T2^6 + 1384*T1^5*T2^6 - 3384*T1^6*T2^6 + 1384*T1^7*T2^6 + 
      228*T1^8*T2^6 - 1744*T1^9*T2^6 - 321*T1^10*T2^6 + 332*T1^11*T2^6 + 
      17*T1^12*T2^6 - 84*T1*T2^7 - 400*T1^2*T2^7 + 1299*T1^3*T2^7 + 
      1033*T1^4*T2^7 - 1636*T1^5*T2^7 + 1384*T1^6*T2^7 + 1384*T1^7*T2^7 - 
      1636*T1^8*T2^7 + 1033*T1^9*T2^7 + 1299*T1^10*T2^7 - 400*T1^11*T2^7 - 
      84*T1^12*T2^7 + 166*T1^2*T2^8 + 200*T1^3*T2^8 - 1917*T1^4*T2^8 + 
      1033*T1^5*T2^8 + 228*T1^6*T2^8 - 1636*T1^7*T2^8 + 228*T1^8*T2^8 + 
      1033*T1^9*T2^8 - 1917*T1^10*T2^8 + 200*T1^11*T2^8 + 166*T1^12*T2^8 - 
      207*T1^3*T2^9 + 200*T1^4*T2^9 + 1299*T1^5*T2^9 - 1744*T1^6*T2^9 + 
      1033*T1^7*T2^9 + 1033*T1^8*T2^9 - 1744*T1^9*T2^9 + 1299*T1^10*T2^9 + 
      200*T1^11*T2^9 - 207*T1^12*T2^9 + 166*T1^4*T2^10 - 400*T1^5*T2^10 - 
      321*T1^6*T2^10 + 1299*T1^7*T2^10 - 1917*T1^8*T2^10 + 1299*T1^9*T2^10 - 
      321*T1^10*T2^10 - 400*T1^11*T2^10 + 166*T1^12*T2^10 - 84*T1^5*T2^11 + 
      332*T1^6*T2^11 - 400*T1^7*T2^11 + 200*T1^8*T2^11 + 200*T1^9*T2^11 - 
      400*T1^10*T2^11 + 332*T1^11*T2^11 - 84*T1^12*T2^11 + 17*T1^6*T2^12 - 
      84*T1^7*T2^12 + 166*T1^8*T2^12 - 207*T1^9*T2^12 + 166*T1^10*T2^12 - 
      84*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   (2 - 10*T1 + 16*T1^2 - 6*T1^3 - 2*T1^4 - 6*T1^5 + 16*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 30*T1^2*T2 - 50*T1^3*T2 + 40*T1^4*T2 + 
     40*T1^5*T2 - 50*T1^6*T2 - 30*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     16*T2^2 - 30*T1*T2^2 - 104*T1^2*T2^2 + 266*T1^3*T2^2 - 34*T1^4*T2^2 - 
     148*T1^5*T2^2 - 34*T1^6*T2^2 + 266*T1^7*T2^2 - 104*T1^8*T2^2 - 
     30*T1^9*T2^2 + 16*T1^10*T2^2 - 6*T2^3 - 50*T1*T2^3 + 266*T1^2*T2^3 - 
     218*T1^3*T2^3 - 352*T1^4*T2^3 + 279*T1^5*T2^3 + 279*T1^6*T2^3 - 
     352*T1^7*T2^3 - 218*T1^8*T2^3 + 266*T1^9*T2^3 - 50*T1^10*T2^3 - 
     6*T1^11*T2^3 - 2*T2^4 + 40*T1*T2^4 - 34*T1^2*T2^4 - 352*T1^3*T2^4 + 
     718*T1^4*T2^4 - 98*T1^5*T2^4 - 378*T1^6*T2^4 - 98*T1^7*T2^4 + 
     718*T1^8*T2^4 - 352*T1^9*T2^4 - 34*T1^10*T2^4 + 40*T1^11*T2^4 - 
     2*T1^12*T2^4 - 6*T2^5 + 40*T1*T2^5 - 148*T1^2*T2^5 + 279*T1^3*T2^5 - 
     98*T1^4*T2^5 - 358*T1^5*T2^5 + 262*T1^6*T2^5 + 262*T1^7*T2^5 - 
     358*T1^8*T2^5 - 98*T1^9*T2^5 + 279*T1^10*T2^5 - 148*T1^11*T2^5 + 
     40*T1^12*T2^5 - 6*T1^13*T2^5 + 16*T2^6 - 50*T1*T2^6 - 34*T1^2*T2^6 + 
     279*T1^3*T2^6 - 378*T1^4*T2^6 + 262*T1^5*T2^6 - 108*T1^6*T2^6 - 
     6*T1^7*T2^6 - 108*T1^8*T2^6 + 262*T1^9*T2^6 - 378*T1^10*T2^6 + 
     279*T1^11*T2^6 - 34*T1^12*T2^6 - 50*T1^13*T2^6 + 16*T1^14*T2^6 - 
     10*T2^7 - 30*T1*T2^7 + 266*T1^2*T2^7 - 352*T1^3*T2^7 - 98*T1^4*T2^7 + 
     262*T1^5*T2^7 - 6*T1^6*T2^7 - 22*T1^7*T2^7 - 22*T1^8*T2^7 - 
     6*T1^9*T2^7 + 262*T1^10*T2^7 - 98*T1^11*T2^7 - 352*T1^12*T2^7 + 
     266*T1^13*T2^7 - 30*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 - 
     104*T1^2*T2^8 - 218*T1^3*T2^8 + 718*T1^4*T2^8 - 358*T1^5*T2^8 - 
     108*T1^6*T2^8 - 22*T1^7*T2^8 + 108*T1^8*T2^8 - 22*T1^9*T2^8 - 
     108*T1^10*T2^8 - 358*T1^11*T2^8 + 718*T1^12*T2^8 - 218*T1^13*T2^8 - 
     104*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     30*T1^2*T2^9 + 266*T1^3*T2^9 - 352*T1^4*T2^9 - 98*T1^5*T2^9 + 
     262*T1^6*T2^9 - 6*T1^7*T2^9 - 22*T1^8*T2^9 - 22*T1^9*T2^9 - 
     6*T1^10*T2^9 + 262*T1^11*T2^9 - 98*T1^12*T2^9 - 352*T1^13*T2^9 + 
     266*T1^14*T2^9 - 30*T1^15*T2^9 - 10*T1^16*T2^9 + 16*T1^2*T2^10 - 
     50*T1^3*T2^10 - 34*T1^4*T2^10 + 279*T1^5*T2^10 - 378*T1^6*T2^10 + 
     262*T1^7*T2^10 - 108*T1^8*T2^10 - 6*T1^9*T2^10 - 108*T1^10*T2^10 + 
     262*T1^11*T2^10 - 378*T1^12*T2^10 + 279*T1^13*T2^10 - 34*T1^14*T2^10 - 
     50*T1^15*T2^10 + 16*T1^16*T2^10 - 6*T1^3*T2^11 + 40*T1^4*T2^11 - 
     148*T1^5*T2^11 + 279*T1^6*T2^11 - 98*T1^7*T2^11 - 358*T1^8*T2^11 + 
     262*T1^9*T2^11 + 262*T1^10*T2^11 - 358*T1^11*T2^11 - 98*T1^12*T2^11 + 
     279*T1^13*T2^11 - 148*T1^14*T2^11 + 40*T1^15*T2^11 - 6*T1^16*T2^11 - 
     2*T1^4*T2^12 + 40*T1^5*T2^12 - 34*T1^6*T2^12 - 352*T1^7*T2^12 + 
     718*T1^8*T2^12 - 98*T1^9*T2^12 - 378*T1^10*T2^12 - 98*T1^11*T2^12 + 
     718*T1^12*T2^12 - 352*T1^13*T2^12 - 34*T1^14*T2^12 + 40*T1^15*T2^12 - 
     2*T1^16*T2^12 - 6*T1^5*T2^13 - 50*T1^6*T2^13 + 266*T1^7*T2^13 - 
     218*T1^8*T2^13 - 352*T1^9*T2^13 + 279*T1^10*T2^13 + 279*T1^11*T2^13 - 
     352*T1^12*T2^13 - 218*T1^13*T2^13 + 266*T1^14*T2^13 - 50*T1^15*T2^13 - 
     6*T1^16*T2^13 + 16*T1^6*T2^14 - 30*T1^7*T2^14 - 104*T1^8*T2^14 + 
     266*T1^9*T2^14 - 34*T1^10*T2^14 - 148*T1^11*T2^14 - 34*T1^12*T2^14 + 
     266*T1^13*T2^14 - 104*T1^14*T2^14 - 30*T1^15*T2^14 + 16*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 30*T1^9*T2^15 - 50*T1^10*T2^15 + 
     40*T1^11*T2^15 + 40*T1^12*T2^15 - 50*T1^13*T2^15 - 30*T1^14*T2^15 + 
     40*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)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 157] -> 
  {(1 - 6*T + 18*T^2 - 25*T^3 + 18*T^4 - 6*T^5 + T^6)/T^3, 
   (1 - 6*T1 + 18*T1^2 - 25*T1^3 + 18*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     30*T1*T2 - 72*T1^2*T2 + 42*T1^3*T2 + 42*T1^4*T2 - 72*T1^5*T2 + 
     30*T1^6*T2 - 6*T1^7*T2 + 18*T2^2 - 72*T1*T2^2 + 157*T1^2*T2^2 + 
     9*T1^3*T2^2 - 137*T1^4*T2^2 + 9*T1^5*T2^2 + 157*T1^6*T2^2 - 
     72*T1^7*T2^2 + 18*T1^8*T2^2 - 25*T2^3 + 42*T1*T2^3 + 9*T1^2*T2^3 - 
     602*T1^3*T2^3 + 385*T1^4*T2^3 + 385*T1^5*T2^3 - 602*T1^6*T2^3 + 
     9*T1^7*T2^3 + 42*T1^8*T2^3 - 25*T1^9*T2^3 + 18*T2^4 + 42*T1*T2^4 - 
     137*T1^2*T2^4 + 385*T1^3*T2^4 + 1819*T1^4*T2^4 - 3197*T1^5*T2^4 + 
     1819*T1^6*T2^4 + 385*T1^7*T2^4 - 137*T1^8*T2^4 + 42*T1^9*T2^4 + 
     18*T1^10*T2^4 - 6*T2^5 - 72*T1*T2^5 + 9*T1^2*T2^5 + 385*T1^3*T2^5 - 
     3197*T1^4*T2^5 + 1928*T1^5*T2^5 + 1928*T1^6*T2^5 - 3197*T1^7*T2^5 + 
     385*T1^8*T2^5 + 9*T1^9*T2^5 - 72*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     30*T1*T2^6 + 157*T1^2*T2^6 - 602*T1^3*T2^6 + 1819*T1^4*T2^6 + 
     1928*T1^5*T2^6 - 4356*T1^6*T2^6 + 1928*T1^7*T2^6 + 1819*T1^8*T2^6 - 
     602*T1^9*T2^6 + 157*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 
     6*T1*T2^7 - 72*T1^2*T2^7 + 9*T1^3*T2^7 + 385*T1^4*T2^7 - 
     3197*T1^5*T2^7 + 1928*T1^6*T2^7 + 1928*T1^7*T2^7 - 3197*T1^8*T2^7 + 
     385*T1^9*T2^7 + 9*T1^10*T2^7 - 72*T1^11*T2^7 - 6*T1^12*T2^7 + 
     18*T1^2*T2^8 + 42*T1^3*T2^8 - 137*T1^4*T2^8 + 385*T1^5*T2^8 + 
     1819*T1^6*T2^8 - 3197*T1^7*T2^8 + 1819*T1^8*T2^8 + 385*T1^9*T2^8 - 
     137*T1^10*T2^8 + 42*T1^11*T2^8 + 18*T1^12*T2^8 - 25*T1^3*T2^9 + 
     42*T1^4*T2^9 + 9*T1^5*T2^9 - 602*T1^6*T2^9 + 385*T1^7*T2^9 + 
     385*T1^8*T2^9 - 602*T1^9*T2^9 + 9*T1^10*T2^9 + 42*T1^11*T2^9 - 
     25*T1^12*T2^9 + 18*T1^4*T2^10 - 72*T1^5*T2^10 + 157*T1^6*T2^10 + 
     9*T1^7*T2^10 - 137*T1^8*T2^10 + 9*T1^9*T2^10 + 157*T1^10*T2^10 - 
     72*T1^11*T2^10 + 18*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 
     72*T1^7*T2^11 + 42*T1^8*T2^11 + 42*T1^9*T2^11 - 72*T1^10*T2^11 + 
     30*T1^11*T2^11 - 6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 
     18*T1^8*T2^12 - 25*T1^9*T2^12 + 18*T1^10*T2^12 - 6*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 158] -> 
  {-((1 - 8*T + 22*T^2 - 31*T^3 + 22*T^4 - 8*T^5 + T^6)/T^3), 
   -((T1 + T1^4 + T2 - 18*T1*T2 + 30*T1^2*T2 - 50*T1^3*T2 + 30*T1^4*T2 - 
      18*T1^5*T2 + T1^6*T2 + 30*T1*T2^2 - 8*T1^2*T2^2 + 37*T1^3*T2^2 + 
      37*T1^4*T2^2 - 8*T1^5*T2^2 + 30*T1^6*T2^2 - 50*T1*T2^3 + 37*T1^2*T2^3 - 
      223*T1^3*T2^3 + 149*T1^4*T2^3 - 223*T1^5*T2^3 + 37*T1^6*T2^3 - 
      50*T1^7*T2^3 + T2^4 + 30*T1*T2^4 + 37*T1^2*T2^4 + 149*T1^3*T2^4 + 
      64*T1^4*T2^4 + 64*T1^5*T2^4 + 149*T1^6*T2^4 + 37*T1^7*T2^4 + 
      30*T1^8*T2^4 + T1^9*T2^4 - 18*T1*T2^5 - 8*T1^2*T2^5 - 223*T1^3*T2^5 + 
      64*T1^4*T2^5 - 300*T1^5*T2^5 + 64*T1^6*T2^5 - 223*T1^7*T2^5 - 
      8*T1^8*T2^5 - 18*T1^9*T2^5 + T1*T2^6 + 30*T1^2*T2^6 + 37*T1^3*T2^6 + 
      149*T1^4*T2^6 + 64*T1^5*T2^6 + 64*T1^6*T2^6 + 149*T1^7*T2^6 + 
      37*T1^8*T2^6 + 30*T1^9*T2^6 + T1^10*T2^6 - 50*T1^3*T2^7 + 
      37*T1^4*T2^7 - 223*T1^5*T2^7 + 149*T1^6*T2^7 - 223*T1^7*T2^7 + 
      37*T1^8*T2^7 - 50*T1^9*T2^7 + 30*T1^4*T2^8 - 8*T1^5*T2^8 + 
      37*T1^6*T2^8 + 37*T1^7*T2^8 - 8*T1^8*T2^8 + 30*T1^9*T2^8 + T1^4*T2^9 - 
      18*T1^5*T2^9 + 30*T1^6*T2^9 - 50*T1^7*T2^9 + 30*T1^8*T2^9 - 
      18*T1^9*T2^9 + T1^10*T2^9 + T1^6*T2^10 + T1^9*T2^10)/(T1^5*T2^5))}, 
 Knot[12, NonAlternating, 159] -> 
  {(2 - 6*T + 12*T^2 - 15*T^3 + 12*T^4 - 6*T^5 + 2*T^6)/T^3, 
   -((9 - 26*T1 + 52*T1^2 - 65*T1^3 + 52*T1^4 - 26*T1^5 + 9*T1^6 - 26*T2 + 
      50*T1*T2 - 76*T1^2*T2 + 38*T1^3*T2 + 38*T1^4*T2 - 76*T1^5*T2 + 
      50*T1^6*T2 - 26*T1^7*T2 + 52*T2^2 - 76*T1*T2^2 + 177*T1^2*T2^2 - 
      195*T1^3*T2^2 + 193*T1^4*T2^2 - 195*T1^5*T2^2 + 177*T1^6*T2^2 - 
      76*T1^7*T2^2 + 52*T1^8*T2^2 - 65*T2^3 + 38*T1*T2^3 - 195*T1^2*T2^3 + 
      120*T1^3*T2^3 - 47*T1^4*T2^3 - 47*T1^5*T2^3 + 120*T1^6*T2^3 - 
      195*T1^7*T2^3 + 38*T1^8*T2^3 - 65*T1^9*T2^3 + 52*T2^4 + 38*T1*T2^4 + 
      193*T1^2*T2^4 - 47*T1^3*T2^4 + 144*T1^4*T2^4 - 168*T1^5*T2^4 + 
      144*T1^6*T2^4 - 47*T1^7*T2^4 + 193*T1^8*T2^4 + 38*T1^9*T2^4 + 
      52*T1^10*T2^4 - 26*T2^5 - 76*T1*T2^5 - 195*T1^2*T2^5 - 47*T1^3*T2^5 - 
      168*T1^4*T2^5 + 70*T1^5*T2^5 + 70*T1^6*T2^5 - 168*T1^7*T2^5 - 
      47*T1^8*T2^5 - 195*T1^9*T2^5 - 76*T1^10*T2^5 - 26*T1^11*T2^5 + 9*T2^6 + 
      50*T1*T2^6 + 177*T1^2*T2^6 + 120*T1^3*T2^6 + 144*T1^4*T2^6 + 
      70*T1^5*T2^6 - 132*T1^6*T2^6 + 70*T1^7*T2^6 + 144*T1^8*T2^6 + 
      120*T1^9*T2^6 + 177*T1^10*T2^6 + 50*T1^11*T2^6 + 9*T1^12*T2^6 - 
      26*T1*T2^7 - 76*T1^2*T2^7 - 195*T1^3*T2^7 - 47*T1^4*T2^7 - 
      168*T1^5*T2^7 + 70*T1^6*T2^7 + 70*T1^7*T2^7 - 168*T1^8*T2^7 - 
      47*T1^9*T2^7 - 195*T1^10*T2^7 - 76*T1^11*T2^7 - 26*T1^12*T2^7 + 
      52*T1^2*T2^8 + 38*T1^3*T2^8 + 193*T1^4*T2^8 - 47*T1^5*T2^8 + 
      144*T1^6*T2^8 - 168*T1^7*T2^8 + 144*T1^8*T2^8 - 47*T1^9*T2^8 + 
      193*T1^10*T2^8 + 38*T1^11*T2^8 + 52*T1^12*T2^8 - 65*T1^3*T2^9 + 
      38*T1^4*T2^9 - 195*T1^5*T2^9 + 120*T1^6*T2^9 - 47*T1^7*T2^9 - 
      47*T1^8*T2^9 + 120*T1^9*T2^9 - 195*T1^10*T2^9 + 38*T1^11*T2^9 - 
      65*T1^12*T2^9 + 52*T1^4*T2^10 - 76*T1^5*T2^10 + 177*T1^6*T2^10 - 
      195*T1^7*T2^10 + 193*T1^8*T2^10 - 195*T1^9*T2^10 + 177*T1^10*T2^10 - 
      76*T1^11*T2^10 + 52*T1^12*T2^10 - 26*T1^5*T2^11 + 50*T1^6*T2^11 - 
      76*T1^7*T2^11 + 38*T1^8*T2^11 + 38*T1^9*T2^11 - 76*T1^10*T2^11 + 
      50*T1^11*T2^11 - 26*T1^12*T2^11 + 9*T1^6*T2^12 - 26*T1^7*T2^12 + 
      52*T1^8*T2^12 - 65*T1^9*T2^12 + 52*T1^10*T2^12 - 26*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 160] -> 
  {-((1 - 6*T + 12*T^2 - 15*T^3 + 12*T^4 - 6*T^5 + T^6)/T^3), 
   (11 - 40*T1 + 55*T1^2 - 40*T1^3 + 11*T1^4 - 40*T2 + 134*T1*T2 - 
     74*T1^2*T2 - 74*T1^3*T2 + 134*T1^4*T2 - 40*T1^5*T2 + 55*T2^2 - 
     74*T1*T2^2 - 424*T1^2*T2^2 + 710*T1^3*T2^2 - 424*T1^4*T2^2 - 
     74*T1^5*T2^2 + 55*T1^6*T2^2 - 40*T2^3 - 74*T1*T2^3 + 710*T1^2*T2^3 - 
     404*T1^3*T2^3 - 404*T1^4*T2^3 + 710*T1^5*T2^3 - 74*T1^6*T2^3 - 
     40*T1^7*T2^3 + 11*T2^4 + 134*T1*T2^4 - 424*T1^2*T2^4 - 404*T1^3*T2^4 + 
     876*T1^4*T2^4 - 404*T1^5*T2^4 - 424*T1^6*T2^4 + 134*T1^7*T2^4 + 
     11*T1^8*T2^4 - 40*T1*T2^5 - 74*T1^2*T2^5 + 710*T1^3*T2^5 - 
     404*T1^4*T2^5 - 404*T1^5*T2^5 + 710*T1^6*T2^5 - 74*T1^7*T2^5 - 
     40*T1^8*T2^5 + 55*T1^2*T2^6 - 74*T1^3*T2^6 - 424*T1^4*T2^6 + 
     710*T1^5*T2^6 - 424*T1^6*T2^6 - 74*T1^7*T2^6 + 55*T1^8*T2^6 - 
     40*T1^3*T2^7 + 134*T1^4*T2^7 - 74*T1^5*T2^7 - 74*T1^6*T2^7 + 
     134*T1^7*T2^7 - 40*T1^8*T2^7 + 11*T1^4*T2^8 - 40*T1^5*T2^8 + 
     55*T1^6*T2^8 - 40*T1^7*T2^8 + 11*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 161] -> 
  {(1 - 8*T + 22*T^2 - 29*T^3 + 22*T^4 - 8*T^5 + T^6)/T^3, 
   (1 - 8*T1 + 22*T1^2 - 29*T1^3 + 22*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
     56*T1*T2 - 111*T1^2*T2 + 54*T1^3*T2 + 54*T1^4*T2 - 111*T1^5*T2 + 
     56*T1^6*T2 - 8*T1^7*T2 + 22*T2^2 - 111*T1*T2^2 - 14*T1^2*T2^2 + 
     598*T1^3*T2^2 - 860*T1^4*T2^2 + 598*T1^5*T2^2 - 14*T1^6*T2^2 - 
     111*T1^7*T2^2 + 22*T1^8*T2^2 - 29*T2^3 + 54*T1*T2^3 + 598*T1^2*T2^3 - 
     1608*T1^3*T2^3 + 731*T1^4*T2^3 + 731*T1^5*T2^3 - 1608*T1^6*T2^3 + 
     598*T1^7*T2^3 + 54*T1^8*T2^3 - 29*T1^9*T2^3 + 22*T2^4 + 54*T1*T2^4 - 
     860*T1^2*T2^4 + 731*T1^3*T2^4 + 2605*T1^4*T2^4 - 3873*T1^5*T2^4 + 
     2605*T1^6*T2^4 + 731*T1^7*T2^4 - 860*T1^8*T2^4 + 54*T1^9*T2^4 + 
     22*T1^10*T2^4 - 8*T2^5 - 111*T1*T2^5 + 598*T1^2*T2^5 + 731*T1^3*T2^5 - 
     3873*T1^4*T2^5 + 1652*T1^5*T2^5 + 1652*T1^6*T2^5 - 3873*T1^7*T2^5 + 
     731*T1^8*T2^5 + 598*T1^9*T2^5 - 111*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
     56*T1*T2^6 - 14*T1^2*T2^6 - 1608*T1^3*T2^6 + 2605*T1^4*T2^6 + 
     1652*T1^5*T2^6 - 3012*T1^6*T2^6 + 1652*T1^7*T2^6 + 2605*T1^8*T2^6 - 
     1608*T1^9*T2^6 - 14*T1^10*T2^6 + 56*T1^11*T2^6 + T1^12*T2^6 - 
     8*T1*T2^7 - 111*T1^2*T2^7 + 598*T1^3*T2^7 + 731*T1^4*T2^7 - 
     3873*T1^5*T2^7 + 1652*T1^6*T2^7 + 1652*T1^7*T2^7 - 3873*T1^8*T2^7 + 
     731*T1^9*T2^7 + 598*T1^10*T2^7 - 111*T1^11*T2^7 - 8*T1^12*T2^7 + 
     22*T1^2*T2^8 + 54*T1^3*T2^8 - 860*T1^4*T2^8 + 731*T1^5*T2^8 + 
     2605*T1^6*T2^8 - 3873*T1^7*T2^8 + 2605*T1^8*T2^8 + 731*T1^9*T2^8 - 
     860*T1^10*T2^8 + 54*T1^11*T2^8 + 22*T1^12*T2^8 - 29*T1^3*T2^9 + 
     54*T1^4*T2^9 + 598*T1^5*T2^9 - 1608*T1^6*T2^9 + 731*T1^7*T2^9 + 
     731*T1^8*T2^9 - 1608*T1^9*T2^9 + 598*T1^10*T2^9 + 54*T1^11*T2^9 - 
     29*T1^12*T2^9 + 22*T1^4*T2^10 - 111*T1^5*T2^10 - 14*T1^6*T2^10 + 
     598*T1^7*T2^10 - 860*T1^8*T2^10 + 598*T1^9*T2^10 - 14*T1^10*T2^10 - 
     111*T1^11*T2^10 + 22*T1^12*T2^10 - 8*T1^5*T2^11 + 56*T1^6*T2^11 - 
     111*T1^7*T2^11 + 54*T1^8*T2^11 + 54*T1^9*T2^11 - 111*T1^10*T2^11 + 
     56*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
     22*T1^8*T2^12 - 29*T1^9*T2^12 + 22*T1^10*T2^12 - 8*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 162] -> 
  {-((1 - 6*T + 14*T^2 - 19*T^3 + 14*T^4 - 6*T^5 + T^6)/T^3), 
   -((7 - 33*T1 + 43*T1^2 - 33*T1^3 + 7*T1^4 - 33*T2 + 118*T1*T2 - 
      47*T1^2*T2 - 47*T1^3*T2 + 118*T1^4*T2 - 33*T1^5*T2 + 43*T2^2 - 
      47*T1*T2^2 - 385*T1^2*T2^2 + 509*T1^3*T2^2 - 385*T1^4*T2^2 - 
      47*T1^5*T2^2 + 43*T1^6*T2^2 - 33*T2^3 - 47*T1*T2^3 + 509*T1^2*T2^3 - 
      162*T1^3*T2^3 - 162*T1^4*T2^3 + 509*T1^5*T2^3 - 47*T1^6*T2^3 - 
      33*T1^7*T2^3 + 7*T2^4 + 118*T1*T2^4 - 385*T1^2*T2^4 - 162*T1^3*T2^4 + 
      180*T1^4*T2^4 - 162*T1^5*T2^4 - 385*T1^6*T2^4 + 118*T1^7*T2^4 + 
      7*T1^8*T2^4 - 33*T1*T2^5 - 47*T1^2*T2^5 + 509*T1^3*T2^5 - 
      162*T1^4*T2^5 - 162*T1^5*T2^5 + 509*T1^6*T2^5 - 47*T1^7*T2^5 - 
      33*T1^8*T2^5 + 43*T1^2*T2^6 - 47*T1^3*T2^6 - 385*T1^4*T2^6 + 
      509*T1^5*T2^6 - 385*T1^6*T2^6 - 47*T1^7*T2^6 + 43*T1^8*T2^6 - 
      33*T1^3*T2^7 + 118*T1^4*T2^7 - 47*T1^5*T2^7 - 47*T1^6*T2^7 + 
      118*T1^7*T2^7 - 33*T1^8*T2^7 + 7*T1^4*T2^8 - 33*T1^5*T2^8 + 
      43*T1^6*T2^8 - 33*T1^7*T2^8 + 7*T1^8*T2^8)/(T1^4*T2^4))}, 
 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), 
   -((3 - 15*T1 + 24*T1^2 - 21*T1^3 + 15*T1^4 - 21*T1^5 + 24*T1^6 - 15*T1^7 + 
      3*T1^8 - 15*T2 + 60*T1*T2 - 45*T1^2*T2 - 15*T1^3*T2 + 30*T1^4*T2 + 
      30*T1^5*T2 - 15*T1^6*T2 - 45*T1^7*T2 + 60*T1^8*T2 - 15*T1^9*T2 + 
      24*T2^2 - 45*T1*T2^2 - 153*T1^2*T2^2 + 300*T1^3*T2^2 - 199*T1^4*T2^2 + 
      27*T1^5*T2^2 - 199*T1^6*T2^2 + 300*T1^7*T2^2 - 153*T1^8*T2^2 - 
      45*T1^9*T2^2 + 24*T1^10*T2^2 - 21*T2^3 - 15*T1*T2^3 + 300*T1^2*T2^3 - 
      224*T1^3*T2^3 - 126*T1^4*T2^3 + 216*T1^5*T2^3 + 216*T1^6*T2^3 - 
      126*T1^7*T2^3 - 224*T1^8*T2^3 + 300*T1^9*T2^3 - 15*T1^10*T2^3 - 
      21*T1^11*T2^3 + 15*T2^4 + 30*T1*T2^4 - 199*T1^2*T2^4 - 126*T1^3*T2^4 + 
      386*T1^4*T2^4 - 170*T1^5*T2^4 - 246*T1^6*T2^4 - 170*T1^7*T2^4 + 
      386*T1^8*T2^4 - 126*T1^9*T2^4 - 199*T1^10*T2^4 + 30*T1^11*T2^4 + 
      15*T1^12*T2^4 - 21*T2^5 + 30*T1*T2^5 + 27*T1^2*T2^5 + 216*T1^3*T2^5 - 
      170*T1^4*T2^5 - 82*T1^5*T2^5 + 205*T1^6*T2^5 + 205*T1^7*T2^5 - 
      82*T1^8*T2^5 - 170*T1^9*T2^5 + 216*T1^10*T2^5 + 27*T1^11*T2^5 + 
      30*T1^12*T2^5 - 21*T1^13*T2^5 + 24*T2^6 - 15*T1*T2^6 - 199*T1^2*T2^6 + 
      216*T1^3*T2^6 - 246*T1^4*T2^6 + 205*T1^5*T2^6 - 287*T1^6*T2^6 + 
      193*T1^7*T2^6 - 287*T1^8*T2^6 + 205*T1^9*T2^6 - 246*T1^10*T2^6 + 
      216*T1^11*T2^6 - 199*T1^12*T2^6 - 15*T1^13*T2^6 + 24*T1^14*T2^6 - 
      15*T2^7 - 45*T1*T2^7 + 300*T1^2*T2^7 - 126*T1^3*T2^7 - 170*T1^4*T2^7 + 
      205*T1^5*T2^7 + 193*T1^6*T2^7 - 128*T1^7*T2^7 - 128*T1^8*T2^7 + 
      193*T1^9*T2^7 + 205*T1^10*T2^7 - 170*T1^11*T2^7 - 126*T1^12*T2^7 + 
      300*T1^13*T2^7 - 45*T1^14*T2^7 - 15*T1^15*T2^7 + 3*T2^8 + 60*T1*T2^8 - 
      153*T1^2*T2^8 - 224*T1^3*T2^8 + 386*T1^4*T2^8 - 82*T1^5*T2^8 - 
      287*T1^6*T2^8 - 128*T1^7*T2^8 + 408*T1^8*T2^8 - 128*T1^9*T2^8 - 
      287*T1^10*T2^8 - 82*T1^11*T2^8 + 386*T1^12*T2^8 - 224*T1^13*T2^8 - 
      153*T1^14*T2^8 + 60*T1^15*T2^8 + 3*T1^16*T2^8 - 15*T1*T2^9 - 
      45*T1^2*T2^9 + 300*T1^3*T2^9 - 126*T1^4*T2^9 - 170*T1^5*T2^9 + 
      205*T1^6*T2^9 + 193*T1^7*T2^9 - 128*T1^8*T2^9 - 128*T1^9*T2^9 + 
      193*T1^10*T2^9 + 205*T1^11*T2^9 - 170*T1^12*T2^9 - 126*T1^13*T2^9 + 
      300*T1^14*T2^9 - 45*T1^15*T2^9 - 15*T1^16*T2^9 + 24*T1^2*T2^10 - 
      15*T1^3*T2^10 - 199*T1^4*T2^10 + 216*T1^5*T2^10 - 246*T1^6*T2^10 + 
      205*T1^7*T2^10 - 287*T1^8*T2^10 + 193*T1^9*T2^10 - 287*T1^10*T2^10 + 
      205*T1^11*T2^10 - 246*T1^12*T2^10 + 216*T1^13*T2^10 - 199*T1^14*T2^10 - 
      15*T1^15*T2^10 + 24*T1^16*T2^10 - 21*T1^3*T2^11 + 30*T1^4*T2^11 + 
      27*T1^5*T2^11 + 216*T1^6*T2^11 - 170*T1^7*T2^11 - 82*T1^8*T2^11 + 
      205*T1^9*T2^11 + 205*T1^10*T2^11 - 82*T1^11*T2^11 - 170*T1^12*T2^11 + 
      216*T1^13*T2^11 + 27*T1^14*T2^11 + 30*T1^15*T2^11 - 21*T1^16*T2^11 + 
      15*T1^4*T2^12 + 30*T1^5*T2^12 - 199*T1^6*T2^12 - 126*T1^7*T2^12 + 
      386*T1^8*T2^12 - 170*T1^9*T2^12 - 246*T1^10*T2^12 - 170*T1^11*T2^12 + 
      386*T1^12*T2^12 - 126*T1^13*T2^12 - 199*T1^14*T2^12 + 30*T1^15*T2^12 + 
      15*T1^16*T2^12 - 21*T1^5*T2^13 - 15*T1^6*T2^13 + 300*T1^7*T2^13 - 
      224*T1^8*T2^13 - 126*T1^9*T2^13 + 216*T1^10*T2^13 + 216*T1^11*T2^13 - 
      126*T1^12*T2^13 - 224*T1^13*T2^13 + 300*T1^14*T2^13 - 15*T1^15*T2^13 - 
      21*T1^16*T2^13 + 24*T1^6*T2^14 - 45*T1^7*T2^14 - 153*T1^8*T2^14 + 
      300*T1^9*T2^14 - 199*T1^10*T2^14 + 27*T1^11*T2^14 - 199*T1^12*T2^14 + 
      300*T1^13*T2^14 - 153*T1^14*T2^14 - 45*T1^15*T2^14 + 24*T1^16*T2^14 - 
      15*T1^7*T2^15 + 60*T1^8*T2^15 - 45*T1^9*T2^15 - 15*T1^10*T2^15 + 
      30*T1^11*T2^15 + 30*T1^12*T2^15 - 15*T1^13*T2^15 - 45*T1^14*T2^15 + 
      60*T1^15*T2^15 - 15*T1^16*T2^15 + 3*T1^8*T2^16 - 15*T1^9*T2^16 + 
      24*T1^10*T2^16 - 21*T1^11*T2^16 + 15*T1^12*T2^16 - 21*T1^13*T2^16 + 
      24*T1^14*T2^16 - 15*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 164] -> 
  {-((1 - 8*T + 20*T^2 - 27*T^3 + 20*T^4 - 8*T^5 + T^6)/T^3), 
   -((2 - 2*T1 + 2*T1^2 + 2*T1^3 - 2*T1^4 + 2*T1^5 - 2*T2 - 56*T1*T2 + 
      145*T1^2*T2 - 214*T1^3*T2 + 145*T1^4*T2 - 56*T1^5*T2 - 2*T1^6*T2 + 
      2*T2^2 + 145*T1*T2^2 - 224*T1^2*T2^2 + 166*T1^3*T2^2 + 166*T1^4*T2^2 - 
      224*T1^5*T2^2 + 145*T1^6*T2^2 + 2*T1^7*T2^2 + 2*T2^3 - 214*T1*T2^3 + 
      166*T1^2*T2^3 - 84*T1^3*T2^3 - 216*T1^4*T2^3 - 84*T1^5*T2^3 + 
      166*T1^6*T2^3 - 214*T1^7*T2^3 + 2*T1^8*T2^3 - 2*T2^4 + 145*T1*T2^4 + 
      166*T1^2*T2^4 - 216*T1^3*T2^4 + 326*T1^4*T2^4 + 326*T1^5*T2^4 - 
      216*T1^6*T2^4 + 166*T1^7*T2^4 + 145*T1^8*T2^4 - 2*T1^9*T2^4 + 2*T2^5 - 
      56*T1*T2^5 - 224*T1^2*T2^5 - 84*T1^3*T2^5 + 326*T1^4*T2^5 - 
      936*T1^5*T2^5 + 326*T1^6*T2^5 - 84*T1^7*T2^5 - 224*T1^8*T2^5 - 
      56*T1^9*T2^5 + 2*T1^10*T2^5 - 2*T1*T2^6 + 145*T1^2*T2^6 + 
      166*T1^3*T2^6 - 216*T1^4*T2^6 + 326*T1^5*T2^6 + 326*T1^6*T2^6 - 
      216*T1^7*T2^6 + 166*T1^8*T2^6 + 145*T1^9*T2^6 - 2*T1^10*T2^6 + 
      2*T1^2*T2^7 - 214*T1^3*T2^7 + 166*T1^4*T2^7 - 84*T1^5*T2^7 - 
      216*T1^6*T2^7 - 84*T1^7*T2^7 + 166*T1^8*T2^7 - 214*T1^9*T2^7 + 
      2*T1^10*T2^7 + 2*T1^3*T2^8 + 145*T1^4*T2^8 - 224*T1^5*T2^8 + 
      166*T1^6*T2^8 + 166*T1^7*T2^8 - 224*T1^8*T2^8 + 145*T1^9*T2^8 + 
      2*T1^10*T2^8 - 2*T1^4*T2^9 - 56*T1^5*T2^9 + 145*T1^6*T2^9 - 
      214*T1^7*T2^9 + 145*T1^8*T2^9 - 56*T1^9*T2^9 - 2*T1^10*T2^9 + 
      2*T1^5*T2^10 - 2*T1^6*T2^10 + 2*T1^7*T2^10 + 2*T1^8*T2^10 - 
      2*T1^9*T2^10 + 2*T1^10*T2^10)/(T1^5*T2^5))}, 
 Knot[12, NonAlternating, 165] -> 
  {(1 - 6*T + 16*T^2 - 21*T^3 + 16*T^4 - 6*T^5 + T^6)/T^3, 
   (1 - 6*T1 + 16*T1^2 - 21*T1^3 + 16*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     30*T1*T2 - 61*T1^2*T2 + 30*T1^3*T2 + 30*T1^4*T2 - 61*T1^5*T2 + 
     30*T1^6*T2 - 6*T1^7*T2 + 16*T2^2 - 61*T1*T2^2 + 69*T1^2*T2^2 + 
     128*T1^3*T2^2 - 217*T1^4*T2^2 + 128*T1^5*T2^2 + 69*T1^6*T2^2 - 
     61*T1^7*T2^2 + 16*T1^8*T2^2 - 21*T2^3 + 30*T1*T2^3 + 128*T1^2*T2^3 - 
     546*T1^3*T2^3 + 254*T1^4*T2^3 + 254*T1^5*T2^3 - 546*T1^6*T2^3 + 
     128*T1^7*T2^3 + 30*T1^8*T2^3 - 21*T1^9*T2^3 + 16*T2^4 + 30*T1*T2^4 - 
     217*T1^2*T2^4 + 254*T1^3*T2^4 + 1084*T1^4*T2^4 - 1618*T1^5*T2^4 + 
     1084*T1^6*T2^4 + 254*T1^7*T2^4 - 217*T1^8*T2^4 + 30*T1^9*T2^4 + 
     16*T1^10*T2^4 - 6*T2^5 - 61*T1*T2^5 + 128*T1^2*T2^5 + 254*T1^3*T2^5 - 
     1618*T1^4*T2^5 + 728*T1^5*T2^5 + 728*T1^6*T2^5 - 1618*T1^7*T2^5 + 
     254*T1^8*T2^5 + 128*T1^9*T2^5 - 61*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     30*T1*T2^6 + 69*T1^2*T2^6 - 546*T1^3*T2^6 + 1084*T1^4*T2^6 + 
     728*T1^5*T2^6 - 1392*T1^6*T2^6 + 728*T1^7*T2^6 + 1084*T1^8*T2^6 - 
     546*T1^9*T2^6 + 69*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
     61*T1^2*T2^7 + 128*T1^3*T2^7 + 254*T1^4*T2^7 - 1618*T1^5*T2^7 + 
     728*T1^6*T2^7 + 728*T1^7*T2^7 - 1618*T1^8*T2^7 + 254*T1^9*T2^7 + 
     128*T1^10*T2^7 - 61*T1^11*T2^7 - 6*T1^12*T2^7 + 16*T1^2*T2^8 + 
     30*T1^3*T2^8 - 217*T1^4*T2^8 + 254*T1^5*T2^8 + 1084*T1^6*T2^8 - 
     1618*T1^7*T2^8 + 1084*T1^8*T2^8 + 254*T1^9*T2^8 - 217*T1^10*T2^8 + 
     30*T1^11*T2^8 + 16*T1^12*T2^8 - 21*T1^3*T2^9 + 30*T1^4*T2^9 + 
     128*T1^5*T2^9 - 546*T1^6*T2^9 + 254*T1^7*T2^9 + 254*T1^8*T2^9 - 
     546*T1^9*T2^9 + 128*T1^10*T2^9 + 30*T1^11*T2^9 - 21*T1^12*T2^9 + 
     16*T1^4*T2^10 - 61*T1^5*T2^10 + 69*T1^6*T2^10 + 128*T1^7*T2^10 - 
     217*T1^8*T2^10 + 128*T1^9*T2^10 + 69*T1^10*T2^10 - 61*T1^11*T2^10 + 
     16*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 61*T1^7*T2^11 + 
     30*T1^8*T2^11 + 30*T1^9*T2^11 - 61*T1^10*T2^11 + 30*T1^11*T2^11 - 
     6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 16*T1^8*T2^12 - 
     21*T1^9*T2^12 + 16*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   (33 - 65*T1 + 80*T1^2 - 95*T1^3 + 111*T1^4 - 95*T1^5 + 80*T1^6 - 65*T1^7 + 
     33*T1^8 - 65*T2 + 64*T1*T2 - 31*T1^2*T2 + 31*T1^3*T2 - 32*T1^4*T2 - 
     32*T1^5*T2 + 31*T1^6*T2 - 31*T1^7*T2 + 64*T1^8*T2 - 65*T1^9*T2 + 
     80*T2^2 - 31*T1*T2^2 + 12*T1^2*T2^2 - 56*T1^3*T2^2 + 67*T1^4*T2^2 - 
     4*T1^5*T2^2 + 67*T1^6*T2^2 - 56*T1^7*T2^2 + 12*T1^8*T2^2 - 
     31*T1^9*T2^2 + 80*T1^10*T2^2 - 95*T2^3 + 31*T1*T2^3 - 56*T1^2*T2^3 + 
     86*T1^3*T2^3 - 53*T1^4*T2^3 - 29*T1^5*T2^3 - 29*T1^6*T2^3 - 
     53*T1^7*T2^3 + 86*T1^8*T2^3 - 56*T1^9*T2^3 + 31*T1^10*T2^3 - 
     95*T1^11*T2^3 + 111*T2^4 - 32*T1*T2^4 + 67*T1^2*T2^4 - 53*T1^3*T2^4 + 
     26*T1^4*T2^4 + 27*T1^5*T2^4 + 48*T1^6*T2^4 + 27*T1^7*T2^4 + 
     26*T1^8*T2^4 - 53*T1^9*T2^4 + 67*T1^10*T2^4 - 32*T1^11*T2^4 + 
     111*T1^12*T2^4 - 95*T2^5 - 32*T1*T2^5 - 4*T1^2*T2^5 - 29*T1^3*T2^5 + 
     27*T1^4*T2^5 - 56*T1^5*T2^5 - 33*T1^6*T2^5 - 33*T1^7*T2^5 - 
     56*T1^8*T2^5 + 27*T1^9*T2^5 - 29*T1^10*T2^5 - 4*T1^11*T2^5 - 
     32*T1^12*T2^5 - 95*T1^13*T2^5 + 80*T2^6 + 31*T1*T2^6 + 67*T1^2*T2^6 - 
     29*T1^3*T2^6 + 48*T1^4*T2^6 - 33*T1^5*T2^6 + 94*T1^6*T2^6 + 
     6*T1^7*T2^6 + 94*T1^8*T2^6 - 33*T1^9*T2^6 + 48*T1^10*T2^6 - 
     29*T1^11*T2^6 + 67*T1^12*T2^6 + 31*T1^13*T2^6 + 80*T1^14*T2^6 - 
     65*T2^7 - 31*T1*T2^7 - 56*T1^2*T2^7 - 53*T1^3*T2^7 + 27*T1^4*T2^7 - 
     33*T1^5*T2^7 + 6*T1^6*T2^7 - 80*T1^7*T2^7 - 80*T1^8*T2^7 + 6*T1^9*T2^7 - 
     33*T1^10*T2^7 + 27*T1^11*T2^7 - 53*T1^12*T2^7 - 56*T1^13*T2^7 - 
     31*T1^14*T2^7 - 65*T1^15*T2^7 + 33*T2^8 + 64*T1*T2^8 + 12*T1^2*T2^8 + 
     86*T1^3*T2^8 + 26*T1^4*T2^8 - 56*T1^5*T2^8 + 94*T1^6*T2^8 - 
     80*T1^7*T2^8 + 228*T1^8*T2^8 - 80*T1^9*T2^8 + 94*T1^10*T2^8 - 
     56*T1^11*T2^8 + 26*T1^12*T2^8 + 86*T1^13*T2^8 + 12*T1^14*T2^8 + 
     64*T1^15*T2^8 + 33*T1^16*T2^8 - 65*T1*T2^9 - 31*T1^2*T2^9 - 
     56*T1^3*T2^9 - 53*T1^4*T2^9 + 27*T1^5*T2^9 - 33*T1^6*T2^9 + 
     6*T1^7*T2^9 - 80*T1^8*T2^9 - 80*T1^9*T2^9 + 6*T1^10*T2^9 - 
     33*T1^11*T2^9 + 27*T1^12*T2^9 - 53*T1^13*T2^9 - 56*T1^14*T2^9 - 
     31*T1^15*T2^9 - 65*T1^16*T2^9 + 80*T1^2*T2^10 + 31*T1^3*T2^10 + 
     67*T1^4*T2^10 - 29*T1^5*T2^10 + 48*T1^6*T2^10 - 33*T1^7*T2^10 + 
     94*T1^8*T2^10 + 6*T1^9*T2^10 + 94*T1^10*T2^10 - 33*T1^11*T2^10 + 
     48*T1^12*T2^10 - 29*T1^13*T2^10 + 67*T1^14*T2^10 + 31*T1^15*T2^10 + 
     80*T1^16*T2^10 - 95*T1^3*T2^11 - 32*T1^4*T2^11 - 4*T1^5*T2^11 - 
     29*T1^6*T2^11 + 27*T1^7*T2^11 - 56*T1^8*T2^11 - 33*T1^9*T2^11 - 
     33*T1^10*T2^11 - 56*T1^11*T2^11 + 27*T1^12*T2^11 - 29*T1^13*T2^11 - 
     4*T1^14*T2^11 - 32*T1^15*T2^11 - 95*T1^16*T2^11 + 111*T1^4*T2^12 - 
     32*T1^5*T2^12 + 67*T1^6*T2^12 - 53*T1^7*T2^12 + 26*T1^8*T2^12 + 
     27*T1^9*T2^12 + 48*T1^10*T2^12 + 27*T1^11*T2^12 + 26*T1^12*T2^12 - 
     53*T1^13*T2^12 + 67*T1^14*T2^12 - 32*T1^15*T2^12 + 111*T1^16*T2^12 - 
     95*T1^5*T2^13 + 31*T1^6*T2^13 - 56*T1^7*T2^13 + 86*T1^8*T2^13 - 
     53*T1^9*T2^13 - 29*T1^10*T2^13 - 29*T1^11*T2^13 - 53*T1^12*T2^13 + 
     86*T1^13*T2^13 - 56*T1^14*T2^13 + 31*T1^15*T2^13 - 95*T1^16*T2^13 + 
     80*T1^6*T2^14 - 31*T1^7*T2^14 + 12*T1^8*T2^14 - 56*T1^9*T2^14 + 
     67*T1^10*T2^14 - 4*T1^11*T2^14 + 67*T1^12*T2^14 - 56*T1^13*T2^14 + 
     12*T1^14*T2^14 - 31*T1^15*T2^14 + 80*T1^16*T2^14 - 65*T1^7*T2^15 + 
     64*T1^8*T2^15 - 31*T1^9*T2^15 + 31*T1^10*T2^15 - 32*T1^11*T2^15 - 
     32*T1^12*T2^15 + 31*T1^13*T2^15 - 31*T1^14*T2^15 + 64*T1^15*T2^15 - 
     65*T1^16*T2^15 + 33*T1^8*T2^16 - 65*T1^9*T2^16 + 80*T1^10*T2^16 - 
     95*T1^11*T2^16 + 111*T1^12*T2^16 - 95*T1^13*T2^16 + 80*T1^14*T2^16 - 
     65*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 167] -> 
  {(3 - 9*T + 14*T^2 - 15*T^3 + 14*T^4 - 9*T^5 + 3*T^6)/T^3, 
   -((24 - 72*T1 + 110*T1^2 - 116*T1^3 + 110*T1^4 - 72*T1^5 + 24*T1^6 - 
      72*T2 + 146*T1*T2 - 117*T1^2*T2 + 20*T1^3*T2 + 20*T1^4*T2 - 
      117*T1^5*T2 + 146*T1^6*T2 - 72*T1^7*T2 + 110*T2^2 - 117*T1*T2^2 - 
      61*T1^2*T2^2 + 218*T1^3*T2^2 - 171*T1^4*T2^2 + 218*T1^5*T2^2 - 
      61*T1^6*T2^2 - 117*T1^7*T2^2 + 110*T1^8*T2^2 - 116*T2^3 + 20*T1*T2^3 + 
      218*T1^2*T2^3 - 254*T1^3*T2^3 + 20*T1^4*T2^3 + 20*T1^5*T2^3 - 
      254*T1^6*T2^3 + 218*T1^7*T2^3 + 20*T1^8*T2^3 - 116*T1^9*T2^3 + 
      110*T2^4 + 20*T1*T2^4 - 171*T1^2*T2^4 + 20*T1^3*T2^4 + 278*T1^4*T2^4 - 
      242*T1^5*T2^4 + 278*T1^6*T2^4 + 20*T1^7*T2^4 - 171*T1^8*T2^4 + 
      20*T1^9*T2^4 + 110*T1^10*T2^4 - 72*T2^5 - 117*T1*T2^5 + 218*T1^2*T2^5 + 
      20*T1^3*T2^5 - 242*T1^4*T2^5 + 60*T1^5*T2^5 + 60*T1^6*T2^5 - 
      242*T1^7*T2^5 + 20*T1^8*T2^5 + 218*T1^9*T2^5 - 117*T1^10*T2^5 - 
      72*T1^11*T2^5 + 24*T2^6 + 146*T1*T2^6 - 61*T1^2*T2^6 - 254*T1^3*T2^6 + 
      278*T1^4*T2^6 + 60*T1^5*T2^6 - 132*T1^6*T2^6 + 60*T1^7*T2^6 + 
      278*T1^8*T2^6 - 254*T1^9*T2^6 - 61*T1^10*T2^6 + 146*T1^11*T2^6 + 
      24*T1^12*T2^6 - 72*T1*T2^7 - 117*T1^2*T2^7 + 218*T1^3*T2^7 + 
      20*T1^4*T2^7 - 242*T1^5*T2^7 + 60*T1^6*T2^7 + 60*T1^7*T2^7 - 
      242*T1^8*T2^7 + 20*T1^9*T2^7 + 218*T1^10*T2^7 - 117*T1^11*T2^7 - 
      72*T1^12*T2^7 + 110*T1^2*T2^8 + 20*T1^3*T2^8 - 171*T1^4*T2^8 + 
      20*T1^5*T2^8 + 278*T1^6*T2^8 - 242*T1^7*T2^8 + 278*T1^8*T2^8 + 
      20*T1^9*T2^8 - 171*T1^10*T2^8 + 20*T1^11*T2^8 + 110*T1^12*T2^8 - 
      116*T1^3*T2^9 + 20*T1^4*T2^9 + 218*T1^5*T2^9 - 254*T1^6*T2^9 + 
      20*T1^7*T2^9 + 20*T1^8*T2^9 - 254*T1^9*T2^9 + 218*T1^10*T2^9 + 
      20*T1^11*T2^9 - 116*T1^12*T2^9 + 110*T1^4*T2^10 - 117*T1^5*T2^10 - 
      61*T1^6*T2^10 + 218*T1^7*T2^10 - 171*T1^8*T2^10 + 218*T1^9*T2^10 - 
      61*T1^10*T2^10 - 117*T1^11*T2^10 + 110*T1^12*T2^10 - 72*T1^5*T2^11 + 
      146*T1^6*T2^11 - 117*T1^7*T2^11 + 20*T1^8*T2^11 + 20*T1^9*T2^11 - 
      117*T1^10*T2^11 + 146*T1^11*T2^11 - 72*T1^12*T2^11 + 24*T1^6*T2^12 - 
      72*T1^7*T2^12 + 110*T1^8*T2^12 - 116*T1^9*T2^12 + 110*T1^10*T2^12 - 
      72*T1^11*T2^12 + 24*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 168] -> 
  {-((1 - 5*T + 8*T^2 - 9*T^3 + 8*T^4 - 5*T^5 + T^6)/T^3), 
   -((2 - 10*T1 + 16*T1^2 - 18*T1^3 + 16*T1^4 - 10*T1^5 + 2*T1^6 - 10*T2 + 
      42*T1*T2 - 29*T1^2*T2 + 10*T1^3*T2 + 10*T1^4*T2 - 29*T1^5*T2 + 
      42*T1^6*T2 - 10*T1^7*T2 + 16*T2^2 - 29*T1*T2^2 - 132*T1^2*T2^2 + 
      208*T1^3*T2^2 - 234*T1^4*T2^2 + 208*T1^5*T2^2 - 132*T1^6*T2^2 - 
      29*T1^7*T2^2 + 16*T1^8*T2^2 - 18*T2^3 + 10*T1*T2^3 + 208*T1^2*T2^3 - 
      118*T1^3*T2^3 + 43*T1^4*T2^3 + 43*T1^5*T2^3 - 118*T1^6*T2^3 + 
      208*T1^7*T2^3 + 10*T1^8*T2^3 - 18*T1^9*T2^3 + 16*T2^4 + 10*T1*T2^4 - 
      234*T1^2*T2^4 + 43*T1^3*T2^4 - 69*T1^4*T2^4 + 57*T1^5*T2^4 - 
      69*T1^6*T2^4 + 43*T1^7*T2^4 - 234*T1^8*T2^4 + 10*T1^9*T2^4 + 
      16*T1^10*T2^4 - 10*T2^5 - 29*T1*T2^5 + 208*T1^2*T2^5 + 43*T1^3*T2^5 + 
      57*T1^4*T2^5 + 57*T1^7*T2^5 + 43*T1^8*T2^5 + 208*T1^9*T2^5 - 
      29*T1^10*T2^5 - 10*T1^11*T2^5 + 2*T2^6 + 42*T1*T2^6 - 132*T1^2*T2^6 - 
      118*T1^3*T2^6 - 69*T1^4*T2^6 - 36*T1^6*T2^6 - 69*T1^8*T2^6 - 
      118*T1^9*T2^6 - 132*T1^10*T2^6 + 42*T1^11*T2^6 + 2*T1^12*T2^6 - 
      10*T1*T2^7 - 29*T1^2*T2^7 + 208*T1^3*T2^7 + 43*T1^4*T2^7 + 
      57*T1^5*T2^7 + 57*T1^8*T2^7 + 43*T1^9*T2^7 + 208*T1^10*T2^7 - 
      29*T1^11*T2^7 - 10*T1^12*T2^7 + 16*T1^2*T2^8 + 10*T1^3*T2^8 - 
      234*T1^4*T2^8 + 43*T1^5*T2^8 - 69*T1^6*T2^8 + 57*T1^7*T2^8 - 
      69*T1^8*T2^8 + 43*T1^9*T2^8 - 234*T1^10*T2^8 + 10*T1^11*T2^8 + 
      16*T1^12*T2^8 - 18*T1^3*T2^9 + 10*T1^4*T2^9 + 208*T1^5*T2^9 - 
      118*T1^6*T2^9 + 43*T1^7*T2^9 + 43*T1^8*T2^9 - 118*T1^9*T2^9 + 
      208*T1^10*T2^9 + 10*T1^11*T2^9 - 18*T1^12*T2^9 + 16*T1^4*T2^10 - 
      29*T1^5*T2^10 - 132*T1^6*T2^10 + 208*T1^7*T2^10 - 234*T1^8*T2^10 + 
      208*T1^9*T2^10 - 132*T1^10*T2^10 - 29*T1^11*T2^10 + 16*T1^12*T2^10 - 
      10*T1^5*T2^11 + 42*T1^6*T2^11 - 29*T1^7*T2^11 + 10*T1^8*T2^11 + 
      10*T1^9*T2^11 - 29*T1^10*T2^11 + 42*T1^11*T2^11 - 10*T1^12*T2^11 + 
      2*T1^6*T2^12 - 10*T1^7*T2^12 + 16*T1^8*T2^12 - 18*T1^9*T2^12 + 
      16*T1^10*T2^12 - 10*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 169] -> 
  {(4 - 9*T + 9*T^2 - 7*T^3 + 9*T^4 - 9*T^5 + 4*T^6)/T^3, 
   (208 - 460*T1 + 452*T1^2 - 344*T1^3 + 452*T1^4 - 460*T1^5 + 208*T1^6 - 
     460*T2 + 562*T1*T2 + 12*T1^2*T2 - 236*T1^3*T2 - 236*T1^4*T2 + 
     12*T1^5*T2 + 562*T1^6*T2 - 460*T1^7*T2 + 452*T2^2 + 12*T1*T2^2 - 
     853*T1^2*T2^2 + 553*T1^3*T2^2 + 167*T1^4*T2^2 + 553*T1^5*T2^2 - 
     853*T1^6*T2^2 + 12*T1^7*T2^2 + 452*T1^8*T2^2 - 344*T2^3 - 236*T1*T2^3 + 
     553*T1^2*T2^3 + 154*T1^3*T2^3 - 456*T1^4*T2^3 - 456*T1^5*T2^3 + 
     154*T1^6*T2^3 + 553*T1^7*T2^3 - 236*T1^8*T2^3 - 344*T1^9*T2^3 + 
     452*T2^4 - 236*T1*T2^4 + 167*T1^2*T2^4 - 456*T1^3*T2^4 + 498*T1^4*T2^4 - 
     100*T1^5*T2^4 + 498*T1^6*T2^4 - 456*T1^7*T2^4 + 167*T1^8*T2^4 - 
     236*T1^9*T2^4 + 452*T1^10*T2^4 - 460*T2^5 + 12*T1*T2^5 + 553*T1^2*T2^5 - 
     456*T1^3*T2^5 - 100*T1^4*T2^5 + 18*T1^5*T2^5 + 18*T1^6*T2^5 - 
     100*T1^7*T2^5 - 456*T1^8*T2^5 + 553*T1^9*T2^5 + 12*T1^10*T2^5 - 
     460*T1^11*T2^5 + 208*T2^6 + 562*T1*T2^6 - 853*T1^2*T2^6 + 
     154*T1^3*T2^6 + 498*T1^4*T2^6 + 18*T1^5*T2^6 - 240*T1^6*T2^6 + 
     18*T1^7*T2^6 + 498*T1^8*T2^6 + 154*T1^9*T2^6 - 853*T1^10*T2^6 + 
     562*T1^11*T2^6 + 208*T1^12*T2^6 - 460*T1*T2^7 + 12*T1^2*T2^7 + 
     553*T1^3*T2^7 - 456*T1^4*T2^7 - 100*T1^5*T2^7 + 18*T1^6*T2^7 + 
     18*T1^7*T2^7 - 100*T1^8*T2^7 - 456*T1^9*T2^7 + 553*T1^10*T2^7 + 
     12*T1^11*T2^7 - 460*T1^12*T2^7 + 452*T1^2*T2^8 - 236*T1^3*T2^8 + 
     167*T1^4*T2^8 - 456*T1^5*T2^8 + 498*T1^6*T2^8 - 100*T1^7*T2^8 + 
     498*T1^8*T2^8 - 456*T1^9*T2^8 + 167*T1^10*T2^8 - 236*T1^11*T2^8 + 
     452*T1^12*T2^8 - 344*T1^3*T2^9 - 236*T1^4*T2^9 + 553*T1^5*T2^9 + 
     154*T1^6*T2^9 - 456*T1^7*T2^9 - 456*T1^8*T2^9 + 154*T1^9*T2^9 + 
     553*T1^10*T2^9 - 236*T1^11*T2^9 - 344*T1^12*T2^9 + 452*T1^4*T2^10 + 
     12*T1^5*T2^10 - 853*T1^6*T2^10 + 553*T1^7*T2^10 + 167*T1^8*T2^10 + 
     553*T1^9*T2^10 - 853*T1^10*T2^10 + 12*T1^11*T2^10 + 452*T1^12*T2^10 - 
     460*T1^5*T2^11 + 562*T1^6*T2^11 + 12*T1^7*T2^11 - 236*T1^8*T2^11 - 
     236*T1^9*T2^11 + 12*T1^10*T2^11 + 562*T1^11*T2^11 - 460*T1^12*T2^11 + 
     208*T1^6*T2^12 - 460*T1^7*T2^12 + 452*T1^8*T2^12 - 344*T1^9*T2^12 + 
     452*T1^10*T2^12 - 460*T1^11*T2^12 + 208*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 170] -> {((3 - 4*T + 2*T^2)*(2 - 4*T + 3*T^2))/T^2, 
   -((3 - 9*T1 + 17*T1^2 - 9*T1^3 + 3*T1^4 - 9*T2 + 30*T1*T2 - 32*T1^2*T2 - 
      32*T1^3*T2 + 30*T1^4*T2 - 9*T1^5*T2 + 17*T2^2 - 32*T1*T2^2 - 
      46*T1^2*T2^2 + 174*T1^3*T2^2 - 46*T1^4*T2^2 - 32*T1^5*T2^2 + 
      17*T1^6*T2^2 - 9*T2^3 - 32*T1*T2^3 + 174*T1^2*T2^3 - 176*T1^3*T2^3 - 
      176*T1^4*T2^3 + 174*T1^5*T2^3 - 32*T1^6*T2^3 - 9*T1^7*T2^3 + 3*T2^4 + 
      30*T1*T2^4 - 46*T1^2*T2^4 - 176*T1^3*T2^4 + 480*T1^4*T2^4 - 
      176*T1^5*T2^4 - 46*T1^6*T2^4 + 30*T1^7*T2^4 + 3*T1^8*T2^4 - 9*T1*T2^5 - 
      32*T1^2*T2^5 + 174*T1^3*T2^5 - 176*T1^4*T2^5 - 176*T1^5*T2^5 + 
      174*T1^6*T2^5 - 32*T1^7*T2^5 - 9*T1^8*T2^5 + 17*T1^2*T2^6 - 
      32*T1^3*T2^6 - 46*T1^4*T2^6 + 174*T1^5*T2^6 - 46*T1^6*T2^6 - 
      32*T1^7*T2^6 + 17*T1^8*T2^6 - 9*T1^3*T2^7 + 30*T1^4*T2^7 - 
      32*T1^5*T2^7 - 32*T1^6*T2^7 + 30*T1^7*T2^7 - 9*T1^8*T2^7 + 
      3*T1^4*T2^8 - 9*T1^5*T2^8 + 17*T1^6*T2^8 - 9*T1^7*T2^8 + 3*T1^8*T2^8)/
     (T1^4*T2^4))}, Knot[12, NonAlternating, 171] -> 
  {-((2 - 10*T + 15*T^2 - 10*T^3 + 2*T^4)/T^2), 
   -((9 - 45*T1 + 67*T1^2 - 45*T1^3 + 9*T1^4 - 45*T2 + 196*T1*T2 - 
      114*T1^2*T2 - 114*T1^3*T2 + 196*T1^4*T2 - 45*T1^5*T2 + 67*T2^2 - 
      114*T1*T2^2 - 705*T1^2*T2^2 + 1187*T1^3*T2^2 - 705*T1^4*T2^2 - 
      114*T1^5*T2^2 + 67*T1^6*T2^2 - 45*T2^3 - 114*T1*T2^3 + 1187*T1^2*T2^3 - 
      688*T1^3*T2^3 - 688*T1^4*T2^3 + 1187*T1^5*T2^3 - 114*T1^6*T2^3 - 
      45*T1^7*T2^3 + 9*T2^4 + 196*T1*T2^4 - 705*T1^2*T2^4 - 688*T1^3*T2^4 + 
      1512*T1^4*T2^4 - 688*T1^5*T2^4 - 705*T1^6*T2^4 + 196*T1^7*T2^4 + 
      9*T1^8*T2^4 - 45*T1*T2^5 - 114*T1^2*T2^5 + 1187*T1^3*T2^5 - 
      688*T1^4*T2^5 - 688*T1^5*T2^5 + 1187*T1^6*T2^5 - 114*T1^7*T2^5 - 
      45*T1^8*T2^5 + 67*T1^2*T2^6 - 114*T1^3*T2^6 - 705*T1^4*T2^6 + 
      1187*T1^5*T2^6 - 705*T1^6*T2^6 - 114*T1^7*T2^6 + 67*T1^8*T2^6 - 
      45*T1^3*T2^7 + 196*T1^4*T2^7 - 114*T1^5*T2^7 - 114*T1^6*T2^7 + 
      196*T1^7*T2^7 - 45*T1^8*T2^7 + 9*T1^4*T2^8 - 45*T1^5*T2^8 + 
      67*T1^6*T2^8 - 45*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4))}, 
 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), 
   -((3 - 15*T1 + 18*T1^2 - 3*T1^3 - 9*T1^4 - 3*T1^5 + 18*T1^6 - 15*T1^7 + 
      3*T1^8 - 15*T2 + 60*T1*T2 - 15*T1^2*T2 - 75*T1^3*T2 + 60*T1^4*T2 + 
      60*T1^5*T2 - 75*T1^6*T2 - 15*T1^7*T2 + 60*T1^8*T2 - 15*T1^9*T2 + 
      18*T2^2 - 15*T1*T2^2 - 243*T1^2*T2^2 + 332*T1^3*T2^2 - 17*T1^4*T2^2 - 
      259*T1^5*T2^2 - 17*T1^6*T2^2 + 332*T1^7*T2^2 - 243*T1^8*T2^2 - 
      15*T1^9*T2^2 + 18*T1^10*T2^2 - 3*T2^3 - 75*T1*T2^3 + 332*T1^2*T2^3 - 
      86*T1^3*T2^3 - 408*T1^4*T2^3 + 330*T1^5*T2^3 + 330*T1^6*T2^3 - 
      408*T1^7*T2^3 - 86*T1^8*T2^3 + 332*T1^9*T2^3 - 75*T1^10*T2^3 - 
      3*T1^11*T2^3 - 9*T2^4 + 60*T1*T2^4 - 17*T1^2*T2^4 - 408*T1^3*T2^4 + 
      529*T1^4*T2^4 + 2*T1^5*T2^4 - 437*T1^6*T2^4 + 2*T1^7*T2^4 + 
      529*T1^8*T2^4 - 408*T1^9*T2^4 - 17*T1^10*T2^4 + 60*T1^11*T2^4 - 
      9*T1^12*T2^4 - 3*T2^5 + 60*T1*T2^5 - 259*T1^2*T2^5 + 330*T1^3*T2^5 + 
      2*T1^4*T2^5 - 394*T1^5*T2^5 + 250*T1^6*T2^5 + 250*T1^7*T2^5 - 
      394*T1^8*T2^5 + 2*T1^9*T2^5 + 330*T1^10*T2^5 - 259*T1^11*T2^5 + 
      60*T1^12*T2^5 - 3*T1^13*T2^5 + 18*T2^6 - 75*T1*T2^6 - 17*T1^2*T2^6 + 
      330*T1^3*T2^6 - 437*T1^4*T2^6 + 250*T1^5*T2^6 + 10*T1^6*T2^6 - 
      86*T1^7*T2^6 + 10*T1^8*T2^6 + 250*T1^9*T2^6 - 437*T1^10*T2^6 + 
      330*T1^11*T2^6 - 17*T1^12*T2^6 - 75*T1^13*T2^6 + 18*T1^14*T2^6 - 
      15*T2^7 - 15*T1*T2^7 + 332*T1^2*T2^7 - 408*T1^3*T2^7 + 2*T1^4*T2^7 + 
      250*T1^5*T2^7 - 86*T1^6*T2^7 - 36*T1^7*T2^7 - 36*T1^8*T2^7 - 
      86*T1^9*T2^7 + 250*T1^10*T2^7 + 2*T1^11*T2^7 - 408*T1^12*T2^7 + 
      332*T1^13*T2^7 - 15*T1^14*T2^7 - 15*T1^15*T2^7 + 3*T2^8 + 60*T1*T2^8 - 
      243*T1^2*T2^8 - 86*T1^3*T2^8 + 529*T1^4*T2^8 - 394*T1^5*T2^8 + 
      10*T1^6*T2^8 - 36*T1^7*T2^8 + 180*T1^8*T2^8 - 36*T1^9*T2^8 + 
      10*T1^10*T2^8 - 394*T1^11*T2^8 + 529*T1^12*T2^8 - 86*T1^13*T2^8 - 
      243*T1^14*T2^8 + 60*T1^15*T2^8 + 3*T1^16*T2^8 - 15*T1*T2^9 - 
      15*T1^2*T2^9 + 332*T1^3*T2^9 - 408*T1^4*T2^9 + 2*T1^5*T2^9 + 
      250*T1^6*T2^9 - 86*T1^7*T2^9 - 36*T1^8*T2^9 - 36*T1^9*T2^9 - 
      86*T1^10*T2^9 + 250*T1^11*T2^9 + 2*T1^12*T2^9 - 408*T1^13*T2^9 + 
      332*T1^14*T2^9 - 15*T1^15*T2^9 - 15*T1^16*T2^9 + 18*T1^2*T2^10 - 
      75*T1^3*T2^10 - 17*T1^4*T2^10 + 330*T1^5*T2^10 - 437*T1^6*T2^10 + 
      250*T1^7*T2^10 + 10*T1^8*T2^10 - 86*T1^9*T2^10 + 10*T1^10*T2^10 + 
      250*T1^11*T2^10 - 437*T1^12*T2^10 + 330*T1^13*T2^10 - 17*T1^14*T2^10 - 
      75*T1^15*T2^10 + 18*T1^16*T2^10 - 3*T1^3*T2^11 + 60*T1^4*T2^11 - 
      259*T1^5*T2^11 + 330*T1^6*T2^11 + 2*T1^7*T2^11 - 394*T1^8*T2^11 + 
      250*T1^9*T2^11 + 250*T1^10*T2^11 - 394*T1^11*T2^11 + 2*T1^12*T2^11 + 
      330*T1^13*T2^11 - 259*T1^14*T2^11 + 60*T1^15*T2^11 - 3*T1^16*T2^11 - 
      9*T1^4*T2^12 + 60*T1^5*T2^12 - 17*T1^6*T2^12 - 408*T1^7*T2^12 + 
      529*T1^8*T2^12 + 2*T1^9*T2^12 - 437*T1^10*T2^12 + 2*T1^11*T2^12 + 
      529*T1^12*T2^12 - 408*T1^13*T2^12 - 17*T1^14*T2^12 + 60*T1^15*T2^12 - 
      9*T1^16*T2^12 - 3*T1^5*T2^13 - 75*T1^6*T2^13 + 332*T1^7*T2^13 - 
      86*T1^8*T2^13 - 408*T1^9*T2^13 + 330*T1^10*T2^13 + 330*T1^11*T2^13 - 
      408*T1^12*T2^13 - 86*T1^13*T2^13 + 332*T1^14*T2^13 - 75*T1^15*T2^13 - 
      3*T1^16*T2^13 + 18*T1^6*T2^14 - 15*T1^7*T2^14 - 243*T1^8*T2^14 + 
      332*T1^9*T2^14 - 17*T1^10*T2^14 - 259*T1^11*T2^14 - 17*T1^12*T2^14 + 
      332*T1^13*T2^14 - 243*T1^14*T2^14 - 15*T1^15*T2^14 + 18*T1^16*T2^14 - 
      15*T1^7*T2^15 + 60*T1^8*T2^15 - 15*T1^9*T2^15 - 75*T1^10*T2^15 + 
      60*T1^11*T2^15 + 60*T1^12*T2^15 - 75*T1^13*T2^15 - 15*T1^14*T2^15 + 
      60*T1^15*T2^15 - 15*T1^16*T2^15 + 3*T1^8*T2^16 - 15*T1^9*T2^16 + 
      18*T1^10*T2^16 - 3*T1^11*T2^16 - 9*T1^12*T2^16 - 3*T1^13*T2^16 + 
      18*T1^14*T2^16 - 15*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 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), -((1 - 6*T1 + 16*T1^2 - 25*T1^3 + 27*T1^4 - 25*T1^5 + 16*T1^6 - 
      6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 60*T1^2*T2 + 54*T1^3*T2 - 
      12*T1^4*T2 - 12*T1^5*T2 + 54*T1^6*T2 - 60*T1^7*T2 + 30*T1^8*T2 - 
      6*T1^9*T2 + 16*T2^2 - 60*T1*T2^2 + 55*T1^2*T2^2 + 85*T1^3*T2^2 - 
      225*T1^4*T2^2 + 193*T1^5*T2^2 - 225*T1^6*T2^2 + 85*T1^7*T2^2 + 
      55*T1^8*T2^2 - 60*T1^9*T2^2 + 16*T1^10*T2^2 - 25*T2^3 + 54*T1*T2^3 + 
      85*T1^2*T2^3 - 380*T1^3*T2^3 + 378*T1^4*T2^3 - 7*T1^5*T2^3 - 
      7*T1^6*T2^3 + 378*T1^7*T2^3 - 380*T1^8*T2^3 + 85*T1^9*T2^3 + 
      54*T1^10*T2^3 - 25*T1^11*T2^3 + 27*T2^4 - 12*T1*T2^4 - 225*T1^2*T2^4 + 
      378*T1^3*T2^4 + 163*T1^4*T2^4 - 820*T1^5*T2^4 + 527*T1^6*T2^4 - 
      820*T1^7*T2^4 + 163*T1^8*T2^4 + 378*T1^9*T2^4 - 225*T1^10*T2^4 - 
      12*T1^11*T2^4 + 27*T1^12*T2^4 - 25*T2^5 - 12*T1*T2^5 + 193*T1^2*T2^5 - 
      7*T1^3*T2^5 - 820*T1^4*T2^5 + 1012*T1^5*T2^5 + T1^6*T2^5 + T1^7*T2^5 + 
      1012*T1^8*T2^5 - 820*T1^9*T2^5 - 7*T1^10*T2^5 + 193*T1^11*T2^5 - 
      12*T1^12*T2^5 - 25*T1^13*T2^5 + 16*T2^6 + 54*T1*T2^6 - 225*T1^2*T2^6 - 
      7*T1^3*T2^6 + 527*T1^4*T2^6 + T1^5*T2^6 - 1317*T1^6*T2^6 + 
      1125*T1^7*T2^6 - 1317*T1^8*T2^6 + T1^9*T2^6 + 527*T1^10*T2^6 - 
      7*T1^11*T2^6 - 225*T1^12*T2^6 + 54*T1^13*T2^6 + 16*T1^14*T2^6 - 
      6*T2^7 - 60*T1*T2^7 + 85*T1^2*T2^7 + 378*T1^3*T2^7 - 820*T1^4*T2^7 + 
      T1^5*T2^7 + 1125*T1^6*T2^7 - 336*T1^7*T2^7 - 336*T1^8*T2^7 + 
      1125*T1^9*T2^7 + T1^10*T2^7 - 820*T1^11*T2^7 + 378*T1^12*T2^7 + 
      85*T1^13*T2^7 - 60*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 
      55*T1^2*T2^8 - 380*T1^3*T2^8 + 163*T1^4*T2^8 + 1012*T1^5*T2^8 - 
      1317*T1^6*T2^8 - 336*T1^7*T2^8 + 852*T1^8*T2^8 - 336*T1^9*T2^8 - 
      1317*T1^10*T2^8 + 1012*T1^11*T2^8 + 163*T1^12*T2^8 - 380*T1^13*T2^8 + 
      55*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 60*T1^2*T2^9 + 
      85*T1^3*T2^9 + 378*T1^4*T2^9 - 820*T1^5*T2^9 + T1^6*T2^9 + 
      1125*T1^7*T2^9 - 336*T1^8*T2^9 - 336*T1^9*T2^9 + 1125*T1^10*T2^9 + 
      T1^11*T2^9 - 820*T1^12*T2^9 + 378*T1^13*T2^9 + 85*T1^14*T2^9 - 
      60*T1^15*T2^9 - 6*T1^16*T2^9 + 16*T1^2*T2^10 + 54*T1^3*T2^10 - 
      225*T1^4*T2^10 - 7*T1^5*T2^10 + 527*T1^6*T2^10 + T1^7*T2^10 - 
      1317*T1^8*T2^10 + 1125*T1^9*T2^10 - 1317*T1^10*T2^10 + T1^11*T2^10 + 
      527*T1^12*T2^10 - 7*T1^13*T2^10 - 225*T1^14*T2^10 + 54*T1^15*T2^10 + 
      16*T1^16*T2^10 - 25*T1^3*T2^11 - 12*T1^4*T2^11 + 193*T1^5*T2^11 - 
      7*T1^6*T2^11 - 820*T1^7*T2^11 + 1012*T1^8*T2^11 + T1^9*T2^11 + 
      T1^10*T2^11 + 1012*T1^11*T2^11 - 820*T1^12*T2^11 - 7*T1^13*T2^11 + 
      193*T1^14*T2^11 - 12*T1^15*T2^11 - 25*T1^16*T2^11 + 27*T1^4*T2^12 - 
      12*T1^5*T2^12 - 225*T1^6*T2^12 + 378*T1^7*T2^12 + 163*T1^8*T2^12 - 
      820*T1^9*T2^12 + 527*T1^10*T2^12 - 820*T1^11*T2^12 + 163*T1^12*T2^12 + 
      378*T1^13*T2^12 - 225*T1^14*T2^12 - 12*T1^15*T2^12 + 27*T1^16*T2^12 - 
      25*T1^5*T2^13 + 54*T1^6*T2^13 + 85*T1^7*T2^13 - 380*T1^8*T2^13 + 
      378*T1^9*T2^13 - 7*T1^10*T2^13 - 7*T1^11*T2^13 + 378*T1^12*T2^13 - 
      380*T1^13*T2^13 + 85*T1^14*T2^13 + 54*T1^15*T2^13 - 25*T1^16*T2^13 + 
      16*T1^6*T2^14 - 60*T1^7*T2^14 + 55*T1^8*T2^14 + 85*T1^9*T2^14 - 
      225*T1^10*T2^14 + 193*T1^11*T2^14 - 225*T1^12*T2^14 + 85*T1^13*T2^14 + 
      55*T1^14*T2^14 - 60*T1^15*T2^14 + 16*T1^16*T2^14 - 6*T1^7*T2^15 + 
      30*T1^8*T2^15 - 60*T1^9*T2^15 + 54*T1^10*T2^15 - 12*T1^11*T2^15 - 
      12*T1^12*T2^15 + 54*T1^13*T2^15 - 60*T1^14*T2^15 + 30*T1^15*T2^15 - 
      6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 16*T1^10*T2^16 - 
      25*T1^11*T2^16 + 27*T1^12*T2^16 - 25*T1^13*T2^16 + 16*T1^14*T2^16 - 
      6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   (1 - 7*T1 + 19*T1^2 - 25*T1^3 + 19*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
     40*T1*T2 - 78*T1^2*T2 + 37*T1^3*T2 + 37*T1^4*T2 - 78*T1^5*T2 + 
     40*T1^6*T2 - 7*T1^7*T2 + 19*T2^2 - 78*T1*T2^2 + 64*T1^2*T2^2 + 
     150*T1^3*T2^2 - 214*T1^4*T2^2 + 150*T1^5*T2^2 + 64*T1^6*T2^2 - 
     78*T1^7*T2^2 + 19*T1^8*T2^2 - 25*T2^3 + 37*T1*T2^3 + 150*T1^2*T2^3 - 
     404*T1^3*T2^3 + 77*T1^4*T2^3 + 77*T1^5*T2^3 - 404*T1^6*T2^3 + 
     150*T1^7*T2^3 + 37*T1^8*T2^3 - 25*T1^9*T2^3 + 19*T2^4 + 37*T1*T2^4 - 
     214*T1^2*T2^4 + 77*T1^3*T2^4 + 511*T1^4*T2^4 - 111*T1^5*T2^4 + 
     511*T1^6*T2^4 + 77*T1^7*T2^4 - 214*T1^8*T2^4 + 37*T1^9*T2^4 + 
     19*T1^10*T2^4 - 7*T2^5 - 78*T1*T2^5 + 150*T1^2*T2^5 + 77*T1^3*T2^5 - 
     111*T1^4*T2^5 - 628*T1^5*T2^5 - 628*T1^6*T2^5 - 111*T1^7*T2^5 + 
     77*T1^8*T2^5 + 150*T1^9*T2^5 - 78*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
     40*T1*T2^6 + 64*T1^2*T2^6 - 404*T1^3*T2^6 + 511*T1^4*T2^6 - 
     628*T1^5*T2^6 + 2220*T1^6*T2^6 - 628*T1^7*T2^6 + 511*T1^8*T2^6 - 
     404*T1^9*T2^6 + 64*T1^10*T2^6 + 40*T1^11*T2^6 + T1^12*T2^6 - 7*T1*T2^7 - 
     78*T1^2*T2^7 + 150*T1^3*T2^7 + 77*T1^4*T2^7 - 111*T1^5*T2^7 - 
     628*T1^6*T2^7 - 628*T1^7*T2^7 - 111*T1^8*T2^7 + 77*T1^9*T2^7 + 
     150*T1^10*T2^7 - 78*T1^11*T2^7 - 7*T1^12*T2^7 + 19*T1^2*T2^8 + 
     37*T1^3*T2^8 - 214*T1^4*T2^8 + 77*T1^5*T2^8 + 511*T1^6*T2^8 - 
     111*T1^7*T2^8 + 511*T1^8*T2^8 + 77*T1^9*T2^8 - 214*T1^10*T2^8 + 
     37*T1^11*T2^8 + 19*T1^12*T2^8 - 25*T1^3*T2^9 + 37*T1^4*T2^9 + 
     150*T1^5*T2^9 - 404*T1^6*T2^9 + 77*T1^7*T2^9 + 77*T1^8*T2^9 - 
     404*T1^9*T2^9 + 150*T1^10*T2^9 + 37*T1^11*T2^9 - 25*T1^12*T2^9 + 
     19*T1^4*T2^10 - 78*T1^5*T2^10 + 64*T1^6*T2^10 + 150*T1^7*T2^10 - 
     214*T1^8*T2^10 + 150*T1^9*T2^10 + 64*T1^10*T2^10 - 78*T1^11*T2^10 + 
     19*T1^12*T2^10 - 7*T1^5*T2^11 + 40*T1^6*T2^11 - 78*T1^7*T2^11 + 
     37*T1^8*T2^11 + 37*T1^9*T2^11 - 78*T1^10*T2^11 + 40*T1^11*T2^11 - 
     7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 19*T1^8*T2^12 - 
     25*T1^9*T2^12 + 19*T1^10*T2^12 - 7*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   (2 - 8*T1 + 8*T1^2 + 10*T1^3 - 22*T1^4 + 10*T1^5 + 8*T1^6 - 8*T1^7 + 
     2*T1^8 - 8*T2 + 24*T1*T2 - 72*T1^3*T2 + 48*T1^4*T2 + 48*T1^5*T2 - 
     72*T1^6*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 8*T2^2 - 88*T1^2*T2^2 + 
     136*T1^3*T2^2 + 105*T1^4*T2^2 - 272*T1^5*T2^2 + 105*T1^6*T2^2 + 
     136*T1^7*T2^2 - 88*T1^8*T2^2 + 8*T1^10*T2^2 + 10*T2^3 - 72*T1*T2^3 + 
     136*T1^2*T2^3 + 62*T1^3*T2^3 - 440*T1^4*T2^3 + 276*T1^5*T2^3 + 
     276*T1^6*T2^3 - 440*T1^7*T2^3 + 62*T1^8*T2^3 + 136*T1^9*T2^3 - 
     72*T1^10*T2^3 + 10*T1^11*T2^3 - 22*T2^4 + 48*T1*T2^4 + 105*T1^2*T2^4 - 
     440*T1^3*T2^4 + 293*T1^4*T2^4 + 442*T1^5*T2^4 - 909*T1^6*T2^4 + 
     442*T1^7*T2^4 + 293*T1^8*T2^4 - 440*T1^9*T2^4 + 105*T1^10*T2^4 + 
     48*T1^11*T2^4 - 22*T1^12*T2^4 + 10*T2^5 + 48*T1*T2^5 - 272*T1^2*T2^5 + 
     276*T1^3*T2^5 + 442*T1^4*T2^5 - 890*T1^5*T2^5 + 494*T1^6*T2^5 + 
     494*T1^7*T2^5 - 890*T1^8*T2^5 + 442*T1^9*T2^5 + 276*T1^10*T2^5 - 
     272*T1^11*T2^5 + 48*T1^12*T2^5 + 10*T1^13*T2^5 + 8*T2^6 - 72*T1*T2^6 + 
     105*T1^2*T2^6 + 276*T1^3*T2^6 - 909*T1^4*T2^6 + 494*T1^5*T2^6 + 
     871*T1^6*T2^6 - 1697*T1^7*T2^6 + 871*T1^8*T2^6 + 494*T1^9*T2^6 - 
     909*T1^10*T2^6 + 276*T1^11*T2^6 + 105*T1^12*T2^6 - 72*T1^13*T2^6 + 
     8*T1^14*T2^6 - 8*T2^7 + 136*T1^2*T2^7 - 440*T1^3*T2^7 + 442*T1^4*T2^7 + 
     494*T1^5*T2^7 - 1697*T1^6*T2^7 + 988*T1^7*T2^7 + 988*T1^8*T2^7 - 
     1697*T1^9*T2^7 + 494*T1^10*T2^7 + 442*T1^11*T2^7 - 440*T1^12*T2^7 + 
     136*T1^13*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 24*T1*T2^8 - 88*T1^2*T2^8 + 
     62*T1^3*T2^8 + 293*T1^4*T2^8 - 890*T1^5*T2^8 + 871*T1^6*T2^8 + 
     988*T1^7*T2^8 - 2160*T1^8*T2^8 + 988*T1^9*T2^8 + 871*T1^10*T2^8 - 
     890*T1^11*T2^8 + 293*T1^12*T2^8 + 62*T1^13*T2^8 - 88*T1^14*T2^8 + 
     24*T1^15*T2^8 + 2*T1^16*T2^8 - 8*T1*T2^9 + 136*T1^3*T2^9 - 
     440*T1^4*T2^9 + 442*T1^5*T2^9 + 494*T1^6*T2^9 - 1697*T1^7*T2^9 + 
     988*T1^8*T2^9 + 988*T1^9*T2^9 - 1697*T1^10*T2^9 + 494*T1^11*T2^9 + 
     442*T1^12*T2^9 - 440*T1^13*T2^9 + 136*T1^14*T2^9 - 8*T1^16*T2^9 + 
     8*T1^2*T2^10 - 72*T1^3*T2^10 + 105*T1^4*T2^10 + 276*T1^5*T2^10 - 
     909*T1^6*T2^10 + 494*T1^7*T2^10 + 871*T1^8*T2^10 - 1697*T1^9*T2^10 + 
     871*T1^10*T2^10 + 494*T1^11*T2^10 - 909*T1^12*T2^10 + 276*T1^13*T2^10 + 
     105*T1^14*T2^10 - 72*T1^15*T2^10 + 8*T1^16*T2^10 + 10*T1^3*T2^11 + 
     48*T1^4*T2^11 - 272*T1^5*T2^11 + 276*T1^6*T2^11 + 442*T1^7*T2^11 - 
     890*T1^8*T2^11 + 494*T1^9*T2^11 + 494*T1^10*T2^11 - 890*T1^11*T2^11 + 
     442*T1^12*T2^11 + 276*T1^13*T2^11 - 272*T1^14*T2^11 + 48*T1^15*T2^11 + 
     10*T1^16*T2^11 - 22*T1^4*T2^12 + 48*T1^5*T2^12 + 105*T1^6*T2^12 - 
     440*T1^7*T2^12 + 293*T1^8*T2^12 + 442*T1^9*T2^12 - 909*T1^10*T2^12 + 
     442*T1^11*T2^12 + 293*T1^12*T2^12 - 440*T1^13*T2^12 + 105*T1^14*T2^12 + 
     48*T1^15*T2^12 - 22*T1^16*T2^12 + 10*T1^5*T2^13 - 72*T1^6*T2^13 + 
     136*T1^7*T2^13 + 62*T1^8*T2^13 - 440*T1^9*T2^13 + 276*T1^10*T2^13 + 
     276*T1^11*T2^13 - 440*T1^12*T2^13 + 62*T1^13*T2^13 + 136*T1^14*T2^13 - 
     72*T1^15*T2^13 + 10*T1^16*T2^13 + 8*T1^6*T2^14 - 88*T1^8*T2^14 + 
     136*T1^9*T2^14 + 105*T1^10*T2^14 - 272*T1^11*T2^14 + 105*T1^12*T2^14 + 
     136*T1^13*T2^14 - 88*T1^14*T2^14 + 8*T1^16*T2^14 - 8*T1^7*T2^15 + 
     24*T1^8*T2^15 - 72*T1^10*T2^15 + 48*T1^11*T2^15 + 48*T1^12*T2^15 - 
     72*T1^13*T2^15 + 24*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)/
    (T1^8*T2^8)}, Knot[12, NonAlternating, 176] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 3*T + 2*T^2))/T^2), 
   -((88 - 354*T1 + 504*T1^2 - 354*T1^3 + 88*T1^4 - 354*T2 + 1076*T1*T2 - 
      609*T1^2*T2 - 609*T1^3*T2 + 1076*T1^4*T2 - 354*T1^5*T2 + 504*T2^2 - 
      609*T1*T2^2 - 2374*T1^2*T2^2 + 4198*T1^3*T2^2 - 2374*T1^4*T2^2 - 
      609*T1^5*T2^2 + 504*T1^6*T2^2 - 354*T2^3 - 609*T1*T2^3 + 
      4198*T1^2*T2^3 - 2508*T1^3*T2^3 - 2508*T1^4*T2^3 + 4198*T1^5*T2^3 - 
      609*T1^6*T2^3 - 354*T1^7*T2^3 + 88*T2^4 + 1076*T1*T2^4 - 
      2374*T1^2*T2^4 - 2508*T1^3*T2^4 + 5652*T1^4*T2^4 - 2508*T1^5*T2^4 - 
      2374*T1^6*T2^4 + 1076*T1^7*T2^4 + 88*T1^8*T2^4 - 354*T1*T2^5 - 
      609*T1^2*T2^5 + 4198*T1^3*T2^5 - 2508*T1^4*T2^5 - 2508*T1^5*T2^5 + 
      4198*T1^6*T2^5 - 609*T1^7*T2^5 - 354*T1^8*T2^5 + 504*T1^2*T2^6 - 
      609*T1^3*T2^6 - 2374*T1^4*T2^6 + 4198*T1^5*T2^6 - 2374*T1^6*T2^6 - 
      609*T1^7*T2^6 + 504*T1^8*T2^6 - 354*T1^3*T2^7 + 1076*T1^4*T2^7 - 
      609*T1^5*T2^7 - 609*T1^6*T2^7 + 1076*T1^7*T2^7 - 354*T1^8*T2^7 + 
      88*T1^4*T2^8 - 354*T1^5*T2^8 + 504*T1^6*T2^8 - 354*T1^7*T2^8 + 
      88*T1^8*T2^8)/(T1^4*T2^4))}, Knot[12, NonAlternating, 177] -> 
  {(4 - 11*T + 16*T^2 - 17*T^3 + 16*T^4 - 11*T^5 + 4*T^6)/T^3, 
   (208 - 556*T1 + 788*T1^2 - 824*T1^3 + 788*T1^4 - 556*T1^5 + 208*T1^6 - 
     556*T2 + 948*T1*T2 - 653*T1^2*T2 + 115*T1^3*T2 + 115*T1^4*T2 - 
     653*T1^5*T2 + 948*T1^6*T2 - 556*T1^7*T2 + 788*T2^2 - 653*T1*T2^2 - 
     248*T1^2*T2^2 + 620*T1^3*T2^2 - 240*T1^4*T2^2 + 620*T1^5*T2^2 - 
     248*T1^6*T2^2 - 653*T1^7*T2^2 + 788*T1^8*T2^2 - 824*T2^3 + 115*T1*T2^3 + 
     620*T1^2*T2^3 - 262*T1^3*T2^3 - 358*T1^4*T2^3 - 358*T1^5*T2^3 - 
     262*T1^6*T2^3 + 620*T1^7*T2^3 + 115*T1^8*T2^3 - 824*T1^9*T2^3 + 
     788*T2^4 + 115*T1*T2^4 - 240*T1^2*T2^4 - 358*T1^3*T2^4 + 523*T1^4*T2^4 + 
     409*T1^5*T2^4 + 523*T1^6*T2^4 - 358*T1^7*T2^4 - 240*T1^8*T2^4 + 
     115*T1^9*T2^4 + 788*T1^10*T2^4 - 556*T2^5 - 653*T1*T2^5 + 
     620*T1^2*T2^5 - 358*T1^3*T2^5 + 409*T1^4*T2^5 - 740*T1^5*T2^5 - 
     740*T1^6*T2^5 + 409*T1^7*T2^5 - 358*T1^8*T2^5 + 620*T1^9*T2^5 - 
     653*T1^10*T2^5 - 556*T1^11*T2^5 + 208*T2^6 + 948*T1*T2^6 - 
     248*T1^2*T2^6 - 262*T1^3*T2^6 + 523*T1^4*T2^6 - 740*T1^5*T2^6 + 
     1884*T1^6*T2^6 - 740*T1^7*T2^6 + 523*T1^8*T2^6 - 262*T1^9*T2^6 - 
     248*T1^10*T2^6 + 948*T1^11*T2^6 + 208*T1^12*T2^6 - 556*T1*T2^7 - 
     653*T1^2*T2^7 + 620*T1^3*T2^7 - 358*T1^4*T2^7 + 409*T1^5*T2^7 - 
     740*T1^6*T2^7 - 740*T1^7*T2^7 + 409*T1^8*T2^7 - 358*T1^9*T2^7 + 
     620*T1^10*T2^7 - 653*T1^11*T2^7 - 556*T1^12*T2^7 + 788*T1^2*T2^8 + 
     115*T1^3*T2^8 - 240*T1^4*T2^8 - 358*T1^5*T2^8 + 523*T1^6*T2^8 + 
     409*T1^7*T2^8 + 523*T1^8*T2^8 - 358*T1^9*T2^8 - 240*T1^10*T2^8 + 
     115*T1^11*T2^8 + 788*T1^12*T2^8 - 824*T1^3*T2^9 + 115*T1^4*T2^9 + 
     620*T1^5*T2^9 - 262*T1^6*T2^9 - 358*T1^7*T2^9 - 358*T1^8*T2^9 - 
     262*T1^9*T2^9 + 620*T1^10*T2^9 + 115*T1^11*T2^9 - 824*T1^12*T2^9 + 
     788*T1^4*T2^10 - 653*T1^5*T2^10 - 248*T1^6*T2^10 + 620*T1^7*T2^10 - 
     240*T1^8*T2^10 + 620*T1^9*T2^10 - 248*T1^10*T2^10 - 653*T1^11*T2^10 + 
     788*T1^12*T2^10 - 556*T1^5*T2^11 + 948*T1^6*T2^11 - 653*T1^7*T2^11 + 
     115*T1^8*T2^11 + 115*T1^9*T2^11 - 653*T1^10*T2^11 + 948*T1^11*T2^11 - 
     556*T1^12*T2^11 + 208*T1^6*T2^12 - 556*T1^7*T2^12 + 788*T1^8*T2^12 - 
     824*T1^9*T2^12 + 788*T1^10*T2^12 - 556*T1^11*T2^12 + 208*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 178] -> 
  {-((1 - 9*T + 24*T^2 - 33*T^3 + 24*T^4 - 9*T^5 + T^6)/T^3), 
   -((2 - 5*T1 + 3*T1^2 + 3*T1^3 - 5*T1^4 + 2*T1^5 - 5*T2 + 22*T1*T2 - 
      43*T1^2*T2 + 58*T1^3*T2 - 43*T1^4*T2 + 22*T1^5*T2 - 5*T1^6*T2 + 
      3*T2^2 - 43*T1*T2^2 + 90*T1^2*T2^2 - 67*T1^3*T2^2 - 67*T1^4*T2^2 + 
      90*T1^5*T2^2 - 43*T1^6*T2^2 + 3*T1^7*T2^2 + 3*T2^3 + 58*T1*T2^3 - 
      67*T1^2*T2^3 - 103*T1^3*T2^3 + 313*T1^4*T2^3 - 103*T1^5*T2^3 - 
      67*T1^6*T2^3 + 58*T1^7*T2^3 + 3*T1^8*T2^3 - 5*T2^4 - 43*T1*T2^4 - 
      67*T1^2*T2^4 + 313*T1^3*T2^4 - 282*T1^4*T2^4 - 282*T1^5*T2^4 + 
      313*T1^6*T2^4 - 67*T1^7*T2^4 - 43*T1^8*T2^4 - 5*T1^9*T2^4 + 2*T2^5 + 
      22*T1*T2^5 + 90*T1^2*T2^5 - 103*T1^3*T2^5 - 282*T1^4*T2^5 + 
      744*T1^5*T2^5 - 282*T1^6*T2^5 - 103*T1^7*T2^5 + 90*T1^8*T2^5 + 
      22*T1^9*T2^5 + 2*T1^10*T2^5 - 5*T1*T2^6 - 43*T1^2*T2^6 - 67*T1^3*T2^6 + 
      313*T1^4*T2^6 - 282*T1^5*T2^6 - 282*T1^6*T2^6 + 313*T1^7*T2^6 - 
      67*T1^8*T2^6 - 43*T1^9*T2^6 - 5*T1^10*T2^6 + 3*T1^2*T2^7 + 
      58*T1^3*T2^7 - 67*T1^4*T2^7 - 103*T1^5*T2^7 + 313*T1^6*T2^7 - 
      103*T1^7*T2^7 - 67*T1^8*T2^7 + 58*T1^9*T2^7 + 3*T1^10*T2^7 + 
      3*T1^3*T2^8 - 43*T1^4*T2^8 + 90*T1^5*T2^8 - 67*T1^6*T2^8 - 
      67*T1^7*T2^8 + 90*T1^8*T2^8 - 43*T1^9*T2^8 + 3*T1^10*T2^8 - 
      5*T1^4*T2^9 + 22*T1^5*T2^9 - 43*T1^6*T2^9 + 58*T1^7*T2^9 - 
      43*T1^8*T2^9 + 22*T1^9*T2^9 - 5*T1^10*T2^9 + 2*T1^5*T2^10 - 
      5*T1^6*T2^10 + 3*T1^7*T2^10 + 3*T1^8*T2^10 - 5*T1^9*T2^10 + 
      2*T1^10*T2^10)/(T1^5*T2^5))}, Knot[12, NonAlternating, 179] -> 
  {-((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 + 
      12*T1*T2 + 7*T1^2*T2 - 7*T1^3*T2 - 7*T1^4*T2 + 7*T1^5*T2 + 12*T1^6*T2 - 
      6*T1^7*T2 + 4*T2^2 + 7*T1*T2^2 - 45*T1^2*T2^2 + 19*T1^3*T2^2 + 
      9*T1^4*T2^2 + 19*T1^5*T2^2 - 45*T1^6*T2^2 + 7*T1^7*T2^2 + 4*T1^8*T2^2 - 
      2*T2^3 - 7*T1*T2^3 + 19*T1^2*T2^3 + 20*T1^3*T2^3 - 26*T1^4*T2^3 - 
      26*T1^5*T2^3 + 20*T1^6*T2^3 + 19*T1^7*T2^3 - 7*T1^8*T2^3 - 
      2*T1^9*T2^3 + 4*T2^4 - 7*T1*T2^4 + 9*T1^2*T2^4 - 26*T1^3*T2^4 + 
      32*T1^4*T2^4 - 10*T1^5*T2^4 + 32*T1^6*T2^4 - 26*T1^7*T2^4 + 
      9*T1^8*T2^4 - 7*T1^9*T2^4 + 4*T1^10*T2^4 - 6*T2^5 + 7*T1*T2^5 + 
      19*T1^2*T2^5 - 26*T1^3*T2^5 - 10*T1^4*T2^5 + 6*T1^5*T2^5 + 
      6*T1^6*T2^5 - 10*T1^7*T2^5 - 26*T1^8*T2^5 + 19*T1^9*T2^5 + 
      7*T1^10*T2^5 - 6*T1^11*T2^5 + 2*T2^6 + 12*T1*T2^6 - 45*T1^2*T2^6 + 
      20*T1^3*T2^6 + 32*T1^4*T2^6 + 6*T1^5*T2^6 - 36*T1^6*T2^6 + 
      6*T1^7*T2^6 + 32*T1^8*T2^6 + 20*T1^9*T2^6 - 45*T1^10*T2^6 + 
      12*T1^11*T2^6 + 2*T1^12*T2^6 - 6*T1*T2^7 + 7*T1^2*T2^7 + 19*T1^3*T2^7 - 
      26*T1^4*T2^7 - 10*T1^5*T2^7 + 6*T1^6*T2^7 + 6*T1^7*T2^7 - 
      10*T1^8*T2^7 - 26*T1^9*T2^7 + 19*T1^10*T2^7 + 7*T1^11*T2^7 - 
      6*T1^12*T2^7 + 4*T1^2*T2^8 - 7*T1^3*T2^8 + 9*T1^4*T2^8 - 26*T1^5*T2^8 + 
      32*T1^6*T2^8 - 10*T1^7*T2^8 + 32*T1^8*T2^8 - 26*T1^9*T2^8 + 
      9*T1^10*T2^8 - 7*T1^11*T2^8 + 4*T1^12*T2^8 - 2*T1^3*T2^9 - 
      7*T1^4*T2^9 + 19*T1^5*T2^9 + 20*T1^6*T2^9 - 26*T1^7*T2^9 - 
      26*T1^8*T2^9 + 20*T1^9*T2^9 + 19*T1^10*T2^9 - 7*T1^11*T2^9 - 
      2*T1^12*T2^9 + 4*T1^4*T2^10 + 7*T1^5*T2^10 - 45*T1^6*T2^10 + 
      19*T1^7*T2^10 + 9*T1^8*T2^10 + 19*T1^9*T2^10 - 45*T1^10*T2^10 + 
      7*T1^11*T2^10 + 4*T1^12*T2^10 - 6*T1^5*T2^11 + 12*T1^6*T2^11 + 
      7*T1^7*T2^11 - 7*T1^8*T2^11 - 7*T1^9*T2^11 + 7*T1^10*T2^11 + 
      12*T1^11*T2^11 - 6*T1^12*T2^11 + 2*T1^6*T2^12 - 6*T1^7*T2^12 + 
      4*T1^8*T2^12 - 2*T1^9*T2^12 + 4*T1^10*T2^12 - 6*T1^11*T2^12 + 
      2*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 180] -> 
  {-((2 - 10*T + 22*T^2 - 29*T^3 + 22*T^4 - 10*T^5 + 2*T^6)/T^3), 
   (1 - 5*T1 + 12*T1^2 - 17*T1^3 + 12*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 34*T1^2*T2 + 24*T1^3*T2 + 24*T1^4*T2 - 34*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 12*T2^2 - 34*T1*T2^2 + 29*T1^2*T2^2 + 
     18*T1^3*T2^2 - 99*T1^4*T2^2 + 18*T1^5*T2^2 + 29*T1^6*T2^2 - 
     34*T1^7*T2^2 + 12*T1^8*T2^2 - 17*T2^3 + 24*T1*T2^3 + 18*T1^2*T2^3 - 
     54*T1^3*T2^3 + 109*T1^4*T2^3 + 109*T1^5*T2^3 - 54*T1^6*T2^3 + 
     18*T1^7*T2^3 + 24*T1^8*T2^3 - 17*T1^9*T2^3 + 12*T2^4 + 24*T1*T2^4 - 
     99*T1^2*T2^4 + 109*T1^3*T2^4 - 199*T1^4*T2^4 - 63*T1^5*T2^4 - 
     199*T1^6*T2^4 + 109*T1^7*T2^4 - 99*T1^8*T2^4 + 24*T1^9*T2^4 + 
     12*T1^10*T2^4 - 5*T2^5 - 34*T1*T2^5 + 18*T1^2*T2^5 + 109*T1^3*T2^5 - 
     63*T1^4*T2^5 + 278*T1^5*T2^5 + 278*T1^6*T2^5 - 63*T1^7*T2^5 + 
     109*T1^8*T2^5 + 18*T1^9*T2^5 - 34*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 + 29*T1^2*T2^6 - 54*T1^3*T2^6 - 199*T1^4*T2^6 + 
     278*T1^5*T2^6 - 864*T1^6*T2^6 + 278*T1^7*T2^6 - 199*T1^8*T2^6 - 
     54*T1^9*T2^6 + 29*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     34*T1^2*T2^7 + 18*T1^3*T2^7 + 109*T1^4*T2^7 - 63*T1^5*T2^7 + 
     278*T1^6*T2^7 + 278*T1^7*T2^7 - 63*T1^8*T2^7 + 109*T1^9*T2^7 + 
     18*T1^10*T2^7 - 34*T1^11*T2^7 - 5*T1^12*T2^7 + 12*T1^2*T2^8 + 
     24*T1^3*T2^8 - 99*T1^4*T2^8 + 109*T1^5*T2^8 - 199*T1^6*T2^8 - 
     63*T1^7*T2^8 - 199*T1^8*T2^8 + 109*T1^9*T2^8 - 99*T1^10*T2^8 + 
     24*T1^11*T2^8 + 12*T1^12*T2^8 - 17*T1^3*T2^9 + 24*T1^4*T2^9 + 
     18*T1^5*T2^9 - 54*T1^6*T2^9 + 109*T1^7*T2^9 + 109*T1^8*T2^9 - 
     54*T1^9*T2^9 + 18*T1^10*T2^9 + 24*T1^11*T2^9 - 17*T1^12*T2^9 + 
     12*T1^4*T2^10 - 34*T1^5*T2^10 + 29*T1^6*T2^10 + 18*T1^7*T2^10 - 
     99*T1^8*T2^10 + 18*T1^9*T2^10 + 29*T1^10*T2^10 - 34*T1^11*T2^10 + 
     12*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 34*T1^7*T2^11 + 
     24*T1^8*T2^11 + 24*T1^9*T2^11 - 34*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 12*T1^8*T2^12 - 
     17*T1^9*T2^12 + 12*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 181] -> 
  {(2 - 9*T + 19*T^2 - 23*T^3 + 19*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (7 - 31*T1 + 64*T1^2 - 77*T1^3 + 64*T1^4 - 31*T1^5 + 7*T1^6 - 31*T2 + 
     106*T1*T2 - 146*T1^2*T2 + 58*T1^3*T2 + 58*T1^4*T2 - 146*T1^5*T2 + 
     106*T1^6*T2 - 31*T1^7*T2 + 64*T2^2 - 146*T1*T2^2 + 33*T1^2*T2^2 + 
     298*T1^3*T2^2 - 399*T1^4*T2^2 + 298*T1^5*T2^2 + 33*T1^6*T2^2 - 
     146*T1^7*T2^2 + 64*T1^8*T2^2 - 77*T2^3 + 58*T1*T2^3 + 298*T1^2*T2^3 - 
     642*T1^3*T2^3 + 251*T1^4*T2^3 + 251*T1^5*T2^3 - 642*T1^6*T2^3 + 
     298*T1^7*T2^3 + 58*T1^8*T2^3 - 77*T1^9*T2^3 + 64*T2^4 + 58*T1*T2^4 - 
     399*T1^2*T2^4 + 251*T1^3*T2^4 + 723*T1^4*T2^4 - 1047*T1^5*T2^4 + 
     723*T1^6*T2^4 + 251*T1^7*T2^4 - 399*T1^8*T2^4 + 58*T1^9*T2^4 + 
     64*T1^10*T2^4 - 31*T2^5 - 146*T1*T2^5 + 298*T1^2*T2^5 + 251*T1^3*T2^5 - 
     1047*T1^4*T2^5 + 468*T1^5*T2^5 + 468*T1^6*T2^5 - 1047*T1^7*T2^5 + 
     251*T1^8*T2^5 + 298*T1^9*T2^5 - 146*T1^10*T2^5 - 31*T1^11*T2^5 + 
     7*T2^6 + 106*T1*T2^6 + 33*T1^2*T2^6 - 642*T1^3*T2^6 + 723*T1^4*T2^6 + 
     468*T1^5*T2^6 - 960*T1^6*T2^6 + 468*T1^7*T2^6 + 723*T1^8*T2^6 - 
     642*T1^9*T2^6 + 33*T1^10*T2^6 + 106*T1^11*T2^6 + 7*T1^12*T2^6 - 
     31*T1*T2^7 - 146*T1^2*T2^7 + 298*T1^3*T2^7 + 251*T1^4*T2^7 - 
     1047*T1^5*T2^7 + 468*T1^6*T2^7 + 468*T1^7*T2^7 - 1047*T1^8*T2^7 + 
     251*T1^9*T2^7 + 298*T1^10*T2^7 - 146*T1^11*T2^7 - 31*T1^12*T2^7 + 
     64*T1^2*T2^8 + 58*T1^3*T2^8 - 399*T1^4*T2^8 + 251*T1^5*T2^8 + 
     723*T1^6*T2^8 - 1047*T1^7*T2^8 + 723*T1^8*T2^8 + 251*T1^9*T2^8 - 
     399*T1^10*T2^8 + 58*T1^11*T2^8 + 64*T1^12*T2^8 - 77*T1^3*T2^9 + 
     58*T1^4*T2^9 + 298*T1^5*T2^9 - 642*T1^6*T2^9 + 251*T1^7*T2^9 + 
     251*T1^8*T2^9 - 642*T1^9*T2^9 + 298*T1^10*T2^9 + 58*T1^11*T2^9 - 
     77*T1^12*T2^9 + 64*T1^4*T2^10 - 146*T1^5*T2^10 + 33*T1^6*T2^10 + 
     298*T1^7*T2^10 - 399*T1^8*T2^10 + 298*T1^9*T2^10 + 33*T1^10*T2^10 - 
     146*T1^11*T2^10 + 64*T1^12*T2^10 - 31*T1^5*T2^11 + 106*T1^6*T2^11 - 
     146*T1^7*T2^11 + 58*T1^8*T2^11 + 58*T1^9*T2^11 - 146*T1^10*T2^11 + 
     106*T1^11*T2^11 - 31*T1^12*T2^11 + 7*T1^6*T2^12 - 31*T1^7*T2^12 + 
     64*T1^8*T2^12 - 77*T1^9*T2^12 + 64*T1^10*T2^12 - 31*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, 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), -((1 - 5*T1 + 10*T1^2 - 13*T1^3 + 13*T1^4 - 13*T1^5 + 10*T1^6 - 
      5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 25*T1^2*T2 + 15*T1^3*T2 + 
      15*T1^6*T2 - 25*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 10*T2^2 - 
      25*T1*T2^2 - 13*T1^2*T2^2 + 64*T1^3*T2^2 - 87*T1^4*T2^2 + 
      57*T1^5*T2^2 - 87*T1^6*T2^2 + 64*T1^7*T2^2 - 13*T1^8*T2^2 - 
      25*T1^9*T2^2 + 10*T1^10*T2^2 - 13*T2^3 + 15*T1*T2^3 + 64*T1^2*T2^3 - 
      86*T1^3*T2^3 + 47*T1^4*T2^3 + 33*T1^5*T2^3 + 33*T1^6*T2^3 + 
      47*T1^7*T2^3 - 86*T1^8*T2^3 + 64*T1^9*T2^3 + 15*T1^10*T2^3 - 
      13*T1^11*T2^3 + 13*T2^4 - 87*T1^2*T2^4 + 47*T1^3*T2^4 + 21*T1^4*T2^4 - 
      86*T1^5*T2^4 - 21*T1^6*T2^4 - 86*T1^7*T2^4 + 21*T1^8*T2^4 + 
      47*T1^9*T2^4 - 87*T1^10*T2^4 + 13*T1^12*T2^4 - 13*T2^5 + 57*T1^2*T2^5 + 
      33*T1^3*T2^5 - 86*T1^4*T2^5 + 94*T1^5*T2^5 + 29*T1^6*T2^5 + 
      29*T1^7*T2^5 + 94*T1^8*T2^5 - 86*T1^9*T2^5 + 33*T1^10*T2^5 + 
      57*T1^11*T2^5 - 13*T1^13*T2^5 + 10*T2^6 + 15*T1*T2^6 - 87*T1^2*T2^6 + 
      33*T1^3*T2^6 - 21*T1^4*T2^6 + 29*T1^5*T2^6 - 112*T1^6*T2^6 + 
      104*T1^7*T2^6 - 112*T1^8*T2^6 + 29*T1^9*T2^6 - 21*T1^10*T2^6 + 
      33*T1^11*T2^6 - 87*T1^12*T2^6 + 15*T1^13*T2^6 + 10*T1^14*T2^6 - 
      5*T2^7 - 25*T1*T2^7 + 64*T1^2*T2^7 + 47*T1^3*T2^7 - 86*T1^4*T2^7 + 
      29*T1^5*T2^7 + 104*T1^6*T2^7 - 94*T1^7*T2^7 - 94*T1^8*T2^7 + 
      104*T1^9*T2^7 + 29*T1^10*T2^7 - 86*T1^11*T2^7 + 47*T1^12*T2^7 + 
      64*T1^13*T2^7 - 25*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 - 
      13*T1^2*T2^8 - 86*T1^3*T2^8 + 21*T1^4*T2^8 + 94*T1^5*T2^8 - 
      112*T1^6*T2^8 - 94*T1^7*T2^8 + 312*T1^8*T2^8 - 94*T1^9*T2^8 - 
      112*T1^10*T2^8 + 94*T1^11*T2^8 + 21*T1^12*T2^8 - 86*T1^13*T2^8 - 
      13*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 25*T1^2*T2^9 + 
      64*T1^3*T2^9 + 47*T1^4*T2^9 - 86*T1^5*T2^9 + 29*T1^6*T2^9 + 
      104*T1^7*T2^9 - 94*T1^8*T2^9 - 94*T1^9*T2^9 + 104*T1^10*T2^9 + 
      29*T1^11*T2^9 - 86*T1^12*T2^9 + 47*T1^13*T2^9 + 64*T1^14*T2^9 - 
      25*T1^15*T2^9 - 5*T1^16*T2^9 + 10*T1^2*T2^10 + 15*T1^3*T2^10 - 
      87*T1^4*T2^10 + 33*T1^5*T2^10 - 21*T1^6*T2^10 + 29*T1^7*T2^10 - 
      112*T1^8*T2^10 + 104*T1^9*T2^10 - 112*T1^10*T2^10 + 29*T1^11*T2^10 - 
      21*T1^12*T2^10 + 33*T1^13*T2^10 - 87*T1^14*T2^10 + 15*T1^15*T2^10 + 
      10*T1^16*T2^10 - 13*T1^3*T2^11 + 57*T1^5*T2^11 + 33*T1^6*T2^11 - 
      86*T1^7*T2^11 + 94*T1^8*T2^11 + 29*T1^9*T2^11 + 29*T1^10*T2^11 + 
      94*T1^11*T2^11 - 86*T1^12*T2^11 + 33*T1^13*T2^11 + 57*T1^14*T2^11 - 
      13*T1^16*T2^11 + 13*T1^4*T2^12 - 87*T1^6*T2^12 + 47*T1^7*T2^12 + 
      21*T1^8*T2^12 - 86*T1^9*T2^12 - 21*T1^10*T2^12 - 86*T1^11*T2^12 + 
      21*T1^12*T2^12 + 47*T1^13*T2^12 - 87*T1^14*T2^12 + 13*T1^16*T2^12 - 
      13*T1^5*T2^13 + 15*T1^6*T2^13 + 64*T1^7*T2^13 - 86*T1^8*T2^13 + 
      47*T1^9*T2^13 + 33*T1^10*T2^13 + 33*T1^11*T2^13 + 47*T1^12*T2^13 - 
      86*T1^13*T2^13 + 64*T1^14*T2^13 + 15*T1^15*T2^13 - 13*T1^16*T2^13 + 
      10*T1^6*T2^14 - 25*T1^7*T2^14 - 13*T1^8*T2^14 + 64*T1^9*T2^14 - 
      87*T1^10*T2^14 + 57*T1^11*T2^14 - 87*T1^12*T2^14 + 64*T1^13*T2^14 - 
      13*T1^14*T2^14 - 25*T1^15*T2^14 + 10*T1^16*T2^14 - 5*T1^7*T2^15 + 
      20*T1^8*T2^15 - 25*T1^9*T2^15 + 15*T1^10*T2^15 + 15*T1^13*T2^15 - 
      25*T1^14*T2^15 + 20*T1^15*T2^15 - 5*T1^16*T2^15 + T1^8*T2^16 - 
      5*T1^9*T2^16 + 10*T1^10*T2^16 - 13*T1^11*T2^16 + 13*T1^12*T2^16 - 
      13*T1^13*T2^16 + 10*T1^14*T2^16 - 5*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, NonAlternating, 183] -> 
  {-((1 - 10*T + 26*T^2 - 35*T^3 + 26*T^4 - 10*T^5 + T^6)/T^3), 
   -((2 - 20*T1 + 52*T1^2 - 70*T1^3 + 52*T1^4 - 20*T1^5 + 2*T1^6 - 20*T2 + 
      190*T1*T2 - 335*T1^2*T2 + 189*T1^3*T2 + 189*T1^4*T2 - 335*T1^5*T2 + 
      190*T1^6*T2 - 20*T1^7*T2 + 52*T2^2 - 335*T1*T2^2 - 691*T1^2*T2^2 + 
      3121*T1^3*T2^2 - 4665*T1^4*T2^2 + 3121*T1^5*T2^2 - 691*T1^6*T2^2 - 
      335*T1^7*T2^2 + 52*T1^8*T2^2 - 70*T2^3 + 189*T1*T2^3 + 3121*T1^2*T2^3 - 
      6354*T1^3*T2^3 + 3816*T1^4*T2^3 + 3816*T1^5*T2^3 - 6354*T1^6*T2^3 + 
      3121*T1^7*T2^3 + 189*T1^8*T2^3 - 70*T1^9*T2^3 + 52*T2^4 + 189*T1*T2^4 - 
      4665*T1^2*T2^4 + 3816*T1^3*T2^4 + 5389*T1^4*T2^4 - 12851*T1^5*T2^4 + 
      5389*T1^6*T2^4 + 3816*T1^7*T2^4 - 4665*T1^8*T2^4 + 189*T1^9*T2^4 + 
      52*T1^10*T2^4 - 20*T2^5 - 335*T1*T2^5 + 3121*T1^2*T2^5 + 
      3816*T1^3*T2^5 - 12851*T1^4*T2^5 + 8922*T1^5*T2^5 + 8922*T1^6*T2^5 - 
      12851*T1^7*T2^5 + 3816*T1^8*T2^5 + 3121*T1^9*T2^5 - 335*T1^10*T2^5 - 
      20*T1^11*T2^5 + 2*T2^6 + 190*T1*T2^6 - 691*T1^2*T2^6 - 6354*T1^3*T2^6 + 
      5389*T1^4*T2^6 + 8922*T1^5*T2^6 - 21108*T1^6*T2^6 + 8922*T1^7*T2^6 + 
      5389*T1^8*T2^6 - 6354*T1^9*T2^6 - 691*T1^10*T2^6 + 190*T1^11*T2^6 + 
      2*T1^12*T2^6 - 20*T1*T2^7 - 335*T1^2*T2^7 + 3121*T1^3*T2^7 + 
      3816*T1^4*T2^7 - 12851*T1^5*T2^7 + 8922*T1^6*T2^7 + 8922*T1^7*T2^7 - 
      12851*T1^8*T2^7 + 3816*T1^9*T2^7 + 3121*T1^10*T2^7 - 335*T1^11*T2^7 - 
      20*T1^12*T2^7 + 52*T1^2*T2^8 + 189*T1^3*T2^8 - 4665*T1^4*T2^8 + 
      3816*T1^5*T2^8 + 5389*T1^6*T2^8 - 12851*T1^7*T2^8 + 5389*T1^8*T2^8 + 
      3816*T1^9*T2^8 - 4665*T1^10*T2^8 + 189*T1^11*T2^8 + 52*T1^12*T2^8 - 
      70*T1^3*T2^9 + 189*T1^4*T2^9 + 3121*T1^5*T2^9 - 6354*T1^6*T2^9 + 
      3816*T1^7*T2^9 + 3816*T1^8*T2^9 - 6354*T1^9*T2^9 + 3121*T1^10*T2^9 + 
      189*T1^11*T2^9 - 70*T1^12*T2^9 + 52*T1^4*T2^10 - 335*T1^5*T2^10 - 
      691*T1^6*T2^10 + 3121*T1^7*T2^10 - 4665*T1^8*T2^10 + 3121*T1^9*T2^10 - 
      691*T1^10*T2^10 - 335*T1^11*T2^10 + 52*T1^12*T2^10 - 20*T1^5*T2^11 + 
      190*T1^6*T2^11 - 335*T1^7*T2^11 + 189*T1^8*T2^11 + 189*T1^9*T2^11 - 
      335*T1^10*T2^11 + 190*T1^11*T2^11 - 20*T1^12*T2^11 + 2*T1^6*T2^12 - 
      20*T1^7*T2^12 + 52*T1^8*T2^12 - 70*T1^9*T2^12 + 52*T1^10*T2^12 - 
      20*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 184] -> 
  {(1 - 4*T + 10*T^2 - 13*T^3 + 10*T^4 - 4*T^5 + T^6)/T^3, 
   -((1 - 4*T1 + 10*T1^2 - 13*T1^3 + 10*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 
      12*T1*T2 - 22*T1^2*T2 + 11*T1^3*T2 + 11*T1^4*T2 - 22*T1^5*T2 + 
      12*T1^6*T2 - 4*T1^7*T2 + 10*T2^2 - 22*T1*T2^2 + 16*T1^2*T2^2 + 
      42*T1^3*T2^2 - 76*T1^4*T2^2 + 42*T1^5*T2^2 + 16*T1^6*T2^2 - 
      22*T1^7*T2^2 + 10*T1^8*T2^2 - 13*T2^3 + 11*T1*T2^3 + 42*T1^2*T2^3 - 
      120*T1^3*T2^3 + 70*T1^4*T2^3 + 70*T1^5*T2^3 - 120*T1^6*T2^3 + 
      42*T1^7*T2^3 + 11*T1^8*T2^3 - 13*T1^9*T2^3 + 10*T2^4 + 11*T1*T2^4 - 
      76*T1^2*T2^4 + 70*T1^3*T2^4 + 85*T1^4*T2^4 - 195*T1^5*T2^4 + 
      85*T1^6*T2^4 + 70*T1^7*T2^4 - 76*T1^8*T2^4 + 11*T1^9*T2^4 + 
      10*T1^10*T2^4 - 4*T2^5 - 22*T1*T2^5 + 42*T1^2*T2^5 + 70*T1^3*T2^5 - 
      195*T1^4*T2^5 + 122*T1^5*T2^5 + 122*T1^6*T2^5 - 195*T1^7*T2^5 + 
      70*T1^8*T2^5 + 42*T1^9*T2^5 - 22*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 
      12*T1*T2^6 + 16*T1^2*T2^6 - 120*T1^3*T2^6 + 85*T1^4*T2^6 + 
      122*T1^5*T2^6 - 276*T1^6*T2^6 + 122*T1^7*T2^6 + 85*T1^8*T2^6 - 
      120*T1^9*T2^6 + 16*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 
      4*T1*T2^7 - 22*T1^2*T2^7 + 42*T1^3*T2^7 + 70*T1^4*T2^7 - 
      195*T1^5*T2^7 + 122*T1^6*T2^7 + 122*T1^7*T2^7 - 195*T1^8*T2^7 + 
      70*T1^9*T2^7 + 42*T1^10*T2^7 - 22*T1^11*T2^7 - 4*T1^12*T2^7 + 
      10*T1^2*T2^8 + 11*T1^3*T2^8 - 76*T1^4*T2^8 + 70*T1^5*T2^8 + 
      85*T1^6*T2^8 - 195*T1^7*T2^8 + 85*T1^8*T2^8 + 70*T1^9*T2^8 - 
      76*T1^10*T2^8 + 11*T1^11*T2^8 + 10*T1^12*T2^8 - 13*T1^3*T2^9 + 
      11*T1^4*T2^9 + 42*T1^5*T2^9 - 120*T1^6*T2^9 + 70*T1^7*T2^9 + 
      70*T1^8*T2^9 - 120*T1^9*T2^9 + 42*T1^10*T2^9 + 11*T1^11*T2^9 - 
      13*T1^12*T2^9 + 10*T1^4*T2^10 - 22*T1^5*T2^10 + 16*T1^6*T2^10 + 
      42*T1^7*T2^10 - 76*T1^8*T2^10 + 42*T1^9*T2^10 + 16*T1^10*T2^10 - 
      22*T1^11*T2^10 + 10*T1^12*T2^10 - 4*T1^5*T2^11 + 12*T1^6*T2^11 - 
      22*T1^7*T2^11 + 11*T1^8*T2^11 + 11*T1^9*T2^11 - 22*T1^10*T2^11 + 
      12*T1^11*T2^11 - 4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 
      10*T1^8*T2^12 - 13*T1^9*T2^12 + 10*T1^10*T2^12 - 4*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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), 
   -((3 - 12*T1 + 21*T1^2 - 30*T1^3 + 33*T1^4 - 30*T1^5 + 21*T1^6 - 12*T1^7 + 
      3*T1^8 - 12*T2 + 36*T1*T2 - 36*T1^2*T2 + 36*T1^3*T2 - 12*T1^4*T2 - 
      12*T1^5*T2 + 36*T1^6*T2 - 36*T1^7*T2 + 36*T1^8*T2 - 12*T1^9*T2 + 
      21*T2^2 - 36*T1*T2^2 - 23*T1^2*T2^2 + 43*T1^3*T2^2 - 102*T1^4*T2^2 + 
      109*T1^5*T2^2 - 102*T1^6*T2^2 + 43*T1^7*T2^2 - 23*T1^8*T2^2 - 
      36*T1^9*T2^2 + 21*T1^10*T2^2 - 30*T2^3 + 36*T1*T2^3 + 43*T1^2*T2^3 + 
      2*T1^3*T2^3 + 49*T1^4*T2^3 - T1^5*T2^3 - T1^6*T2^3 + 49*T1^7*T2^3 + 
      2*T1^8*T2^3 + 43*T1^9*T2^3 + 36*T1^10*T2^3 - 30*T1^11*T2^3 + 33*T2^4 - 
      12*T1*T2^4 - 102*T1^2*T2^4 + 49*T1^3*T2^4 - 187*T1^4*T2^4 + 
      138*T1^5*T2^4 - 195*T1^6*T2^4 + 138*T1^7*T2^4 - 187*T1^8*T2^4 + 
      49*T1^9*T2^4 - 102*T1^10*T2^4 - 12*T1^11*T2^4 + 33*T1^12*T2^4 - 
      30*T2^5 - 12*T1*T2^5 + 109*T1^2*T2^5 - T1^3*T2^5 + 138*T1^4*T2^5 + 
      8*T1^5*T2^5 + 54*T1^6*T2^5 + 54*T1^7*T2^5 + 8*T1^8*T2^5 + 
      138*T1^9*T2^5 - T1^10*T2^5 + 109*T1^11*T2^5 - 12*T1^12*T2^5 - 
      30*T1^13*T2^5 + 21*T2^6 + 36*T1*T2^6 - 102*T1^2*T2^6 - T1^3*T2^6 - 
      195*T1^4*T2^6 + 54*T1^5*T2^6 - 209*T1^6*T2^6 + 107*T1^7*T2^6 - 
      209*T1^8*T2^6 + 54*T1^9*T2^6 - 195*T1^10*T2^6 - T1^11*T2^6 - 
      102*T1^12*T2^6 + 36*T1^13*T2^6 + 21*T1^14*T2^6 - 12*T2^7 - 36*T1*T2^7 + 
      43*T1^2*T2^7 + 49*T1^3*T2^7 + 138*T1^4*T2^7 + 54*T1^5*T2^7 + 
      107*T1^6*T2^7 + 50*T1^7*T2^7 + 50*T1^8*T2^7 + 107*T1^9*T2^7 + 
      54*T1^10*T2^7 + 138*T1^11*T2^7 + 49*T1^12*T2^7 + 43*T1^13*T2^7 - 
      36*T1^14*T2^7 - 12*T1^15*T2^7 + 3*T2^8 + 36*T1*T2^8 - 23*T1^2*T2^8 + 
      2*T1^3*T2^8 - 187*T1^4*T2^8 + 8*T1^5*T2^8 - 209*T1^6*T2^8 + 
      50*T1^7*T2^8 - 180*T1^8*T2^8 + 50*T1^9*T2^8 - 209*T1^10*T2^8 + 
      8*T1^11*T2^8 - 187*T1^12*T2^8 + 2*T1^13*T2^8 - 23*T1^14*T2^8 + 
      36*T1^15*T2^8 + 3*T1^16*T2^8 - 12*T1*T2^9 - 36*T1^2*T2^9 + 
      43*T1^3*T2^9 + 49*T1^4*T2^9 + 138*T1^5*T2^9 + 54*T1^6*T2^9 + 
      107*T1^7*T2^9 + 50*T1^8*T2^9 + 50*T1^9*T2^9 + 107*T1^10*T2^9 + 
      54*T1^11*T2^9 + 138*T1^12*T2^9 + 49*T1^13*T2^9 + 43*T1^14*T2^9 - 
      36*T1^15*T2^9 - 12*T1^16*T2^9 + 21*T1^2*T2^10 + 36*T1^3*T2^10 - 
      102*T1^4*T2^10 - T1^5*T2^10 - 195*T1^6*T2^10 + 54*T1^7*T2^10 - 
      209*T1^8*T2^10 + 107*T1^9*T2^10 - 209*T1^10*T2^10 + 54*T1^11*T2^10 - 
      195*T1^12*T2^10 - T1^13*T2^10 - 102*T1^14*T2^10 + 36*T1^15*T2^10 + 
      21*T1^16*T2^10 - 30*T1^3*T2^11 - 12*T1^4*T2^11 + 109*T1^5*T2^11 - 
      T1^6*T2^11 + 138*T1^7*T2^11 + 8*T1^8*T2^11 + 54*T1^9*T2^11 + 
      54*T1^10*T2^11 + 8*T1^11*T2^11 + 138*T1^12*T2^11 - T1^13*T2^11 + 
      109*T1^14*T2^11 - 12*T1^15*T2^11 - 30*T1^16*T2^11 + 33*T1^4*T2^12 - 
      12*T1^5*T2^12 - 102*T1^6*T2^12 + 49*T1^7*T2^12 - 187*T1^8*T2^12 + 
      138*T1^9*T2^12 - 195*T1^10*T2^12 + 138*T1^11*T2^12 - 187*T1^12*T2^12 + 
      49*T1^13*T2^12 - 102*T1^14*T2^12 - 12*T1^15*T2^12 + 33*T1^16*T2^12 - 
      30*T1^5*T2^13 + 36*T1^6*T2^13 + 43*T1^7*T2^13 + 2*T1^8*T2^13 + 
      49*T1^9*T2^13 - T1^10*T2^13 - T1^11*T2^13 + 49*T1^12*T2^13 + 
      2*T1^13*T2^13 + 43*T1^14*T2^13 + 36*T1^15*T2^13 - 30*T1^16*T2^13 + 
      21*T1^6*T2^14 - 36*T1^7*T2^14 - 23*T1^8*T2^14 + 43*T1^9*T2^14 - 
      102*T1^10*T2^14 + 109*T1^11*T2^14 - 102*T1^12*T2^14 + 43*T1^13*T2^14 - 
      23*T1^14*T2^14 - 36*T1^15*T2^14 + 21*T1^16*T2^14 - 12*T1^7*T2^15 + 
      36*T1^8*T2^15 - 36*T1^9*T2^15 + 36*T1^10*T2^15 - 12*T1^11*T2^15 - 
      12*T1^12*T2^15 + 36*T1^13*T2^15 - 36*T1^14*T2^15 + 36*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)/(T1^8*T2^8))}, 
 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 + 24*T1*T2 - 56*T1^2*T2 + 56*T1^3*T2 - 24*T1^4*T2 - 
      24*T1^5*T2 + 56*T1^6*T2 - 56*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 
      22*T2^2 - 56*T1*T2^2 + 131*T1^2*T2^2 - 113*T1^3*T2^2 + 88*T1^4*T2^2 - 
      71*T1^5*T2^2 + 88*T1^6*T2^2 - 113*T1^7*T2^2 + 131*T1^8*T2^2 - 
      56*T1^9*T2^2 + 22*T1^10*T2^2 - 36*T2^3 + 56*T1*T2^3 - 113*T1^2*T2^3 - 
      48*T1^3*T2^3 + 71*T1^4*T2^3 - 41*T1^5*T2^3 - 41*T1^6*T2^3 + 
      71*T1^7*T2^3 - 48*T1^8*T2^3 - 113*T1^9*T2^3 + 56*T1^10*T2^3 - 
      36*T1^11*T2^3 + 42*T2^4 - 24*T1*T2^4 + 88*T1^2*T2^4 + 71*T1^3*T2^4 + 
      290*T1^4*T2^4 - 583*T1^5*T2^4 + 740*T1^6*T2^4 - 583*T1^7*T2^4 + 
      290*T1^8*T2^4 + 71*T1^9*T2^4 + 88*T1^10*T2^4 - 24*T1^11*T2^4 + 
      42*T1^12*T2^4 - 36*T2^5 - 24*T1*T2^5 - 71*T1^2*T2^5 - 41*T1^3*T2^5 - 
      583*T1^4*T2^5 + 572*T1^5*T2^5 - 276*T1^6*T2^5 - 276*T1^7*T2^5 + 
      572*T1^8*T2^5 - 583*T1^9*T2^5 - 41*T1^10*T2^5 - 71*T1^11*T2^5 - 
      24*T1^12*T2^5 - 36*T1^13*T2^5 + 22*T2^6 + 56*T1*T2^6 + 88*T1^2*T2^6 - 
      41*T1^3*T2^6 + 740*T1^4*T2^6 - 276*T1^5*T2^6 - 93*T1^6*T2^6 + 
      365*T1^7*T2^6 - 93*T1^8*T2^6 - 276*T1^9*T2^6 + 740*T1^10*T2^6 - 
      41*T1^11*T2^6 + 88*T1^12*T2^6 + 56*T1^13*T2^6 + 22*T1^14*T2^6 - 
      8*T2^7 - 56*T1*T2^7 - 113*T1^2*T2^7 + 71*T1^3*T2^7 - 583*T1^4*T2^7 - 
      276*T1^5*T2^7 + 365*T1^6*T2^7 - 246*T1^7*T2^7 - 246*T1^8*T2^7 + 
      365*T1^9*T2^7 - 276*T1^10*T2^7 - 583*T1^11*T2^7 + 71*T1^12*T2^7 - 
      113*T1^13*T2^7 - 56*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 24*T1*T2^8 + 
      131*T1^2*T2^8 - 48*T1^3*T2^8 + 290*T1^4*T2^8 + 572*T1^5*T2^8 - 
      93*T1^6*T2^8 - 246*T1^7*T2^8 + 552*T1^8*T2^8 - 246*T1^9*T2^8 - 
      93*T1^10*T2^8 + 572*T1^11*T2^8 + 290*T1^12*T2^8 - 48*T1^13*T2^8 + 
      131*T1^14*T2^8 + 24*T1^15*T2^8 + 2*T1^16*T2^8 - 8*T1*T2^9 - 
      56*T1^2*T2^9 - 113*T1^3*T2^9 + 71*T1^4*T2^9 - 583*T1^5*T2^9 - 
      276*T1^6*T2^9 + 365*T1^7*T2^9 - 246*T1^8*T2^9 - 246*T1^9*T2^9 + 
      365*T1^10*T2^9 - 276*T1^11*T2^9 - 583*T1^12*T2^9 + 71*T1^13*T2^9 - 
      113*T1^14*T2^9 - 56*T1^15*T2^9 - 8*T1^16*T2^9 + 22*T1^2*T2^10 + 
      56*T1^3*T2^10 + 88*T1^4*T2^10 - 41*T1^5*T2^10 + 740*T1^6*T2^10 - 
      276*T1^7*T2^10 - 93*T1^8*T2^10 + 365*T1^9*T2^10 - 93*T1^10*T2^10 - 
      276*T1^11*T2^10 + 740*T1^12*T2^10 - 41*T1^13*T2^10 + 88*T1^14*T2^10 + 
      56*T1^15*T2^10 + 22*T1^16*T2^10 - 36*T1^3*T2^11 - 24*T1^4*T2^11 - 
      71*T1^5*T2^11 - 41*T1^6*T2^11 - 583*T1^7*T2^11 + 572*T1^8*T2^11 - 
      276*T1^9*T2^11 - 276*T1^10*T2^11 + 572*T1^11*T2^11 - 583*T1^12*T2^11 - 
      41*T1^13*T2^11 - 71*T1^14*T2^11 - 24*T1^15*T2^11 - 36*T1^16*T2^11 + 
      42*T1^4*T2^12 - 24*T1^5*T2^12 + 88*T1^6*T2^12 + 71*T1^7*T2^12 + 
      290*T1^8*T2^12 - 583*T1^9*T2^12 + 740*T1^10*T2^12 - 583*T1^11*T2^12 + 
      290*T1^12*T2^12 + 71*T1^13*T2^12 + 88*T1^14*T2^12 - 24*T1^15*T2^12 + 
      42*T1^16*T2^12 - 36*T1^5*T2^13 + 56*T1^6*T2^13 - 113*T1^7*T2^13 - 
      48*T1^8*T2^13 + 71*T1^9*T2^13 - 41*T1^10*T2^13 - 41*T1^11*T2^13 + 
      71*T1^12*T2^13 - 48*T1^13*T2^13 - 113*T1^14*T2^13 + 56*T1^15*T2^13 - 
      36*T1^16*T2^13 + 22*T1^6*T2^14 - 56*T1^7*T2^14 + 131*T1^8*T2^14 - 
      113*T1^9*T2^14 + 88*T1^10*T2^14 - 71*T1^11*T2^14 + 88*T1^12*T2^14 - 
      113*T1^13*T2^14 + 131*T1^14*T2^14 - 56*T1^15*T2^14 + 22*T1^16*T2^14 - 
      8*T1^7*T2^15 + 24*T1^8*T2^15 - 56*T1^9*T2^15 + 56*T1^10*T2^15 - 
      24*T1^11*T2^15 - 24*T1^12*T2^15 + 56*T1^13*T2^15 - 56*T1^14*T2^15 + 
      24*T1^15*T2^15 - 8*T1^16*T2^15 + 2*T1^8*T2^16 - 8*T1^9*T2^16 + 
      22*T1^10*T2^16 - 36*T1^11*T2^16 + 42*T1^12*T2^16 - 36*T1^13*T2^16 + 
      22*T1^14*T2^16 - 8*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 187] -> 
  {(1 - 5*T^2 + 12*T^3 - 15*T^4 + 12*T^5 - 5*T^6 + T^8)/T^4, 
   (4 - 20*T1^2 + 48*T1^3 - 60*T1^4 + 48*T1^5 - 20*T1^6 + 4*T1^8 - 20*T2^2 + 
     77*T1^2*T2^2 - 217*T1^3*T2^2 + 348*T1^4*T2^2 - 413*T1^5*T2^2 + 
     348*T1^6*T2^2 - 217*T1^7*T2^2 + 77*T1^8*T2^2 - 20*T1^10*T2^2 + 48*T2^3 - 
     217*T1^2*T2^3 + 520*T1^3*T2^3 - 576*T1^4*T2^3 + 264*T1^5*T2^3 + 
     264*T1^6*T2^3 - 576*T1^7*T2^3 + 520*T1^8*T2^3 - 217*T1^9*T2^3 + 
     48*T1^11*T2^3 - 60*T2^4 + 348*T1^2*T2^4 - 576*T1^3*T2^4 + 
     260*T1^4*T2^4 + 385*T1^5*T2^4 - 700*T1^6*T2^4 + 385*T1^7*T2^4 + 
     260*T1^8*T2^4 - 576*T1^9*T2^4 + 348*T1^10*T2^4 - 60*T1^12*T2^4 + 
     48*T2^5 - 413*T1^2*T2^5 + 264*T1^3*T2^5 + 385*T1^4*T2^5 - 
     862*T1^5*T2^5 + 382*T1^6*T2^5 + 382*T1^7*T2^5 - 862*T1^8*T2^5 + 
     385*T1^9*T2^5 + 264*T1^10*T2^5 - 413*T1^11*T2^5 + 48*T1^13*T2^5 - 
     20*T2^6 + 348*T1^2*T2^6 + 264*T1^3*T2^6 - 700*T1^4*T2^6 + 
     382*T1^5*T2^6 + 862*T1^6*T2^6 - 1240*T1^7*T2^6 + 862*T1^8*T2^6 + 
     382*T1^9*T2^6 - 700*T1^10*T2^6 + 264*T1^11*T2^6 + 348*T1^12*T2^6 - 
     20*T1^14*T2^6 - 217*T1^2*T2^7 - 576*T1^3*T2^7 + 385*T1^4*T2^7 + 
     382*T1^5*T2^7 - 1240*T1^6*T2^7 + 436*T1^7*T2^7 + 436*T1^8*T2^7 - 
     1240*T1^9*T2^7 + 382*T1^10*T2^7 + 385*T1^11*T2^7 - 576*T1^12*T2^7 - 
     217*T1^13*T2^7 + 4*T2^8 + 77*T1^2*T2^8 + 520*T1^3*T2^8 + 260*T1^4*T2^8 - 
     862*T1^5*T2^8 + 862*T1^6*T2^8 + 436*T1^7*T2^8 - 672*T1^8*T2^8 + 
     436*T1^9*T2^8 + 862*T1^10*T2^8 - 862*T1^11*T2^8 + 260*T1^12*T2^8 + 
     520*T1^13*T2^8 + 77*T1^14*T2^8 + 4*T1^16*T2^8 - 217*T1^3*T2^9 - 
     576*T1^4*T2^9 + 385*T1^5*T2^9 + 382*T1^6*T2^9 - 1240*T1^7*T2^9 + 
     436*T1^8*T2^9 + 436*T1^9*T2^9 - 1240*T1^10*T2^9 + 382*T1^11*T2^9 + 
     385*T1^12*T2^9 - 576*T1^13*T2^9 - 217*T1^14*T2^9 - 20*T1^2*T2^10 + 
     348*T1^4*T2^10 + 264*T1^5*T2^10 - 700*T1^6*T2^10 + 382*T1^7*T2^10 + 
     862*T1^8*T2^10 - 1240*T1^9*T2^10 + 862*T1^10*T2^10 + 382*T1^11*T2^10 - 
     700*T1^12*T2^10 + 264*T1^13*T2^10 + 348*T1^14*T2^10 - 20*T1^16*T2^10 + 
     48*T1^3*T2^11 - 413*T1^5*T2^11 + 264*T1^6*T2^11 + 385*T1^7*T2^11 - 
     862*T1^8*T2^11 + 382*T1^9*T2^11 + 382*T1^10*T2^11 - 862*T1^11*T2^11 + 
     385*T1^12*T2^11 + 264*T1^13*T2^11 - 413*T1^14*T2^11 + 48*T1^16*T2^11 - 
     60*T1^4*T2^12 + 348*T1^6*T2^12 - 576*T1^7*T2^12 + 260*T1^8*T2^12 + 
     385*T1^9*T2^12 - 700*T1^10*T2^12 + 385*T1^11*T2^12 + 260*T1^12*T2^12 - 
     576*T1^13*T2^12 + 348*T1^14*T2^12 - 60*T1^16*T2^12 + 48*T1^5*T2^13 - 
     217*T1^7*T2^13 + 520*T1^8*T2^13 - 576*T1^9*T2^13 + 264*T1^10*T2^13 + 
     264*T1^11*T2^13 - 576*T1^12*T2^13 + 520*T1^13*T2^13 - 217*T1^14*T2^13 + 
     48*T1^16*T2^13 - 20*T1^6*T2^14 + 77*T1^8*T2^14 - 217*T1^9*T2^14 + 
     348*T1^10*T2^14 - 413*T1^11*T2^14 + 348*T1^12*T2^14 - 217*T1^13*T2^14 + 
     77*T1^14*T2^14 - 20*T1^16*T2^14 + 4*T1^8*T2^16 - 20*T1^10*T2^16 + 
     48*T1^11*T2^16 - 60*T1^12*T2^16 + 48*T1^13*T2^16 - 20*T1^14*T2^16 + 
     4*T1^16*T2^16)/(T1^8*T2^8)}, 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, 
   (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 + 24*T1*T2 - 40*T1^2*T2 + 24*T1^3*T2 - 8*T1^4*T2 - 
     8*T1^5*T2 + 24*T1^6*T2 - 40*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 18*T2^2 - 
     40*T1*T2^2 + 51*T1^2*T2^2 + 6*T1^3*T2^2 - 3*T1^4*T2^2 + 3*T1^5*T2^2 - 
     3*T1^6*T2^2 + 6*T1^7*T2^2 + 51*T1^8*T2^2 - 40*T1^9*T2^2 + 
     18*T1^10*T2^2 - 24*T2^3 + 24*T1*T2^3 + 6*T1^2*T2^3 - 114*T1^3*T2^3 + 
     32*T1^4*T2^3 - 14*T1^5*T2^3 - 14*T1^6*T2^3 + 32*T1^7*T2^3 - 
     114*T1^8*T2^3 + 6*T1^9*T2^3 + 24*T1^10*T2^3 - 24*T1^11*T2^3 + 26*T2^4 - 
     8*T1*T2^4 - 3*T1^2*T2^4 + 32*T1^3*T2^4 + 221*T1^4*T2^4 - 212*T1^5*T2^4 + 
     237*T1^6*T2^4 - 212*T1^7*T2^4 + 221*T1^8*T2^4 + 32*T1^9*T2^4 - 
     3*T1^10*T2^4 - 8*T1^11*T2^4 + 26*T1^12*T2^4 - 24*T2^5 - 8*T1*T2^5 + 
     3*T1^2*T2^5 - 14*T1^3*T2^5 - 212*T1^4*T2^5 + 26*T1^5*T2^5 - 
     33*T1^6*T2^5 - 33*T1^7*T2^5 + 26*T1^8*T2^5 - 212*T1^9*T2^5 - 
     14*T1^10*T2^5 + 3*T1^11*T2^5 - 8*T1^12*T2^5 - 24*T1^13*T2^5 + 18*T2^6 + 
     24*T1*T2^6 - 3*T1^2*T2^6 - 14*T1^3*T2^6 + 237*T1^4*T2^6 - 33*T1^5*T2^6 + 
     108*T1^6*T2^6 - 24*T1^7*T2^6 + 108*T1^8*T2^6 - 33*T1^9*T2^6 + 
     237*T1^10*T2^6 - 14*T1^11*T2^6 - 3*T1^12*T2^6 + 24*T1^13*T2^6 + 
     18*T1^14*T2^6 - 8*T2^7 - 40*T1*T2^7 + 6*T1^2*T2^7 + 32*T1^3*T2^7 - 
     212*T1^4*T2^7 - 33*T1^5*T2^7 - 24*T1^6*T2^7 - 76*T1^7*T2^7 - 
     76*T1^8*T2^7 - 24*T1^9*T2^7 - 33*T1^10*T2^7 - 212*T1^11*T2^7 + 
     32*T1^12*T2^7 + 6*T1^13*T2^7 - 40*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 
     24*T1*T2^8 + 51*T1^2*T2^8 - 114*T1^3*T2^8 + 221*T1^4*T2^8 + 
     26*T1^5*T2^8 + 108*T1^6*T2^8 - 76*T1^7*T2^8 + 240*T1^8*T2^8 - 
     76*T1^9*T2^8 + 108*T1^10*T2^8 + 26*T1^11*T2^8 + 221*T1^12*T2^8 - 
     114*T1^13*T2^8 + 51*T1^14*T2^8 + 24*T1^15*T2^8 + 2*T1^16*T2^8 - 
     8*T1*T2^9 - 40*T1^2*T2^9 + 6*T1^3*T2^9 + 32*T1^4*T2^9 - 212*T1^5*T2^9 - 
     33*T1^6*T2^9 - 24*T1^7*T2^9 - 76*T1^8*T2^9 - 76*T1^9*T2^9 - 
     24*T1^10*T2^9 - 33*T1^11*T2^9 - 212*T1^12*T2^9 + 32*T1^13*T2^9 + 
     6*T1^14*T2^9 - 40*T1^15*T2^9 - 8*T1^16*T2^9 + 18*T1^2*T2^10 + 
     24*T1^3*T2^10 - 3*T1^4*T2^10 - 14*T1^5*T2^10 + 237*T1^6*T2^10 - 
     33*T1^7*T2^10 + 108*T1^8*T2^10 - 24*T1^9*T2^10 + 108*T1^10*T2^10 - 
     33*T1^11*T2^10 + 237*T1^12*T2^10 - 14*T1^13*T2^10 - 3*T1^14*T2^10 + 
     24*T1^15*T2^10 + 18*T1^16*T2^10 - 24*T1^3*T2^11 - 8*T1^4*T2^11 + 
     3*T1^5*T2^11 - 14*T1^6*T2^11 - 212*T1^7*T2^11 + 26*T1^8*T2^11 - 
     33*T1^9*T2^11 - 33*T1^10*T2^11 + 26*T1^11*T2^11 - 212*T1^12*T2^11 - 
     14*T1^13*T2^11 + 3*T1^14*T2^11 - 8*T1^15*T2^11 - 24*T1^16*T2^11 + 
     26*T1^4*T2^12 - 8*T1^5*T2^12 - 3*T1^6*T2^12 + 32*T1^7*T2^12 + 
     221*T1^8*T2^12 - 212*T1^9*T2^12 + 237*T1^10*T2^12 - 212*T1^11*T2^12 + 
     221*T1^12*T2^12 + 32*T1^13*T2^12 - 3*T1^14*T2^12 - 8*T1^15*T2^12 + 
     26*T1^16*T2^12 - 24*T1^5*T2^13 + 24*T1^6*T2^13 + 6*T1^7*T2^13 - 
     114*T1^8*T2^13 + 32*T1^9*T2^13 - 14*T1^10*T2^13 - 14*T1^11*T2^13 + 
     32*T1^12*T2^13 - 114*T1^13*T2^13 + 6*T1^14*T2^13 + 24*T1^15*T2^13 - 
     24*T1^16*T2^13 + 18*T1^6*T2^14 - 40*T1^7*T2^14 + 51*T1^8*T2^14 + 
     6*T1^9*T2^14 - 3*T1^10*T2^14 + 3*T1^11*T2^14 - 3*T1^12*T2^14 + 
     6*T1^13*T2^14 + 51*T1^14*T2^14 - 40*T1^15*T2^14 + 18*T1^16*T2^14 - 
     8*T1^7*T2^15 + 24*T1^8*T2^15 - 40*T1^9*T2^15 + 24*T1^10*T2^15 - 
     8*T1^11*T2^15 - 8*T1^12*T2^15 + 24*T1^13*T2^15 - 40*T1^14*T2^15 + 
     24*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)/(T1^8*T2^8)}, 
 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), 
   -((1 - 4*T1 + 9*T1^2 - 16*T1^3 + 19*T1^4 - 16*T1^5 + 9*T1^6 - 4*T1^7 + 
      T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 28*T1^3*T2 - 12*T1^4*T2 - 
      12*T1^5*T2 + 28*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 
      9*T2^2 - 20*T1*T2^2 + 25*T1^2*T2^2 - 32*T1^3*T2^2 - 13*T1^4*T2^2 + 
      29*T1^5*T2^2 - 13*T1^6*T2^2 - 32*T1^7*T2^2 + 25*T1^8*T2^2 - 
      20*T1^9*T2^2 + 9*T1^10*T2^2 - 16*T2^3 + 28*T1*T2^3 - 32*T1^2*T2^3 + 
      46*T1^3*T2^3 + 36*T1^4*T2^3 - 14*T1^5*T2^3 - 14*T1^6*T2^3 + 
      36*T1^7*T2^3 + 46*T1^8*T2^3 - 32*T1^9*T2^3 + 28*T1^10*T2^3 - 
      16*T1^11*T2^3 + 19*T2^4 - 12*T1*T2^4 - 13*T1^2*T2^4 + 36*T1^3*T2^4 - 
      184*T1^4*T2^4 + 83*T1^5*T2^4 - 68*T1^6*T2^4 + 83*T1^7*T2^4 - 
      184*T1^8*T2^4 + 36*T1^9*T2^4 - 13*T1^10*T2^4 - 12*T1^11*T2^4 + 
      19*T1^12*T2^4 - 16*T2^5 - 12*T1*T2^5 + 29*T1^2*T2^5 - 14*T1^3*T2^5 + 
      83*T1^4*T2^5 + 178*T1^5*T2^5 - 67*T1^6*T2^5 - 67*T1^7*T2^5 + 
      178*T1^8*T2^5 + 83*T1^9*T2^5 - 14*T1^10*T2^5 + 29*T1^11*T2^5 - 
      12*T1^12*T2^5 - 16*T1^13*T2^5 + 9*T2^6 + 28*T1*T2^6 - 13*T1^2*T2^6 - 
      14*T1^3*T2^6 - 68*T1^4*T2^6 - 67*T1^5*T2^6 - 402*T1^6*T2^6 + 
      534*T1^7*T2^6 - 402*T1^8*T2^6 - 67*T1^9*T2^6 - 68*T1^10*T2^6 - 
      14*T1^11*T2^6 - 13*T1^12*T2^6 + 28*T1^13*T2^6 + 9*T1^14*T2^6 - 4*T2^7 - 
      20*T1*T2^7 - 32*T1^2*T2^7 + 36*T1^3*T2^7 + 83*T1^4*T2^7 - 
      67*T1^5*T2^7 + 534*T1^6*T2^7 - 210*T1^7*T2^7 - 210*T1^8*T2^7 + 
      534*T1^9*T2^7 - 67*T1^10*T2^7 + 83*T1^11*T2^7 + 36*T1^12*T2^7 - 
      32*T1^13*T2^7 - 20*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 
      25*T1^2*T2^8 + 46*T1^3*T2^8 - 184*T1^4*T2^8 + 178*T1^5*T2^8 - 
      402*T1^6*T2^8 - 210*T1^7*T2^8 + 384*T1^8*T2^8 - 210*T1^9*T2^8 - 
      402*T1^10*T2^8 + 178*T1^11*T2^8 - 184*T1^12*T2^8 + 46*T1^13*T2^8 + 
      25*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 20*T1^2*T2^9 - 
      32*T1^3*T2^9 + 36*T1^4*T2^9 + 83*T1^5*T2^9 - 67*T1^6*T2^9 + 
      534*T1^7*T2^9 - 210*T1^8*T2^9 - 210*T1^9*T2^9 + 534*T1^10*T2^9 - 
      67*T1^11*T2^9 + 83*T1^12*T2^9 + 36*T1^13*T2^9 - 32*T1^14*T2^9 - 
      20*T1^15*T2^9 - 4*T1^16*T2^9 + 9*T1^2*T2^10 + 28*T1^3*T2^10 - 
      13*T1^4*T2^10 - 14*T1^5*T2^10 - 68*T1^6*T2^10 - 67*T1^7*T2^10 - 
      402*T1^8*T2^10 + 534*T1^9*T2^10 - 402*T1^10*T2^10 - 67*T1^11*T2^10 - 
      68*T1^12*T2^10 - 14*T1^13*T2^10 - 13*T1^14*T2^10 + 28*T1^15*T2^10 + 
      9*T1^16*T2^10 - 16*T1^3*T2^11 - 12*T1^4*T2^11 + 29*T1^5*T2^11 - 
      14*T1^6*T2^11 + 83*T1^7*T2^11 + 178*T1^8*T2^11 - 67*T1^9*T2^11 - 
      67*T1^10*T2^11 + 178*T1^11*T2^11 + 83*T1^12*T2^11 - 14*T1^13*T2^11 + 
      29*T1^14*T2^11 - 12*T1^15*T2^11 - 16*T1^16*T2^11 + 19*T1^4*T2^12 - 
      12*T1^5*T2^12 - 13*T1^6*T2^12 + 36*T1^7*T2^12 - 184*T1^8*T2^12 + 
      83*T1^9*T2^12 - 68*T1^10*T2^12 + 83*T1^11*T2^12 - 184*T1^12*T2^12 + 
      36*T1^13*T2^12 - 13*T1^14*T2^12 - 12*T1^15*T2^12 + 19*T1^16*T2^12 - 
      16*T1^5*T2^13 + 28*T1^6*T2^13 - 32*T1^7*T2^13 + 46*T1^8*T2^13 + 
      36*T1^9*T2^13 - 14*T1^10*T2^13 - 14*T1^11*T2^13 + 36*T1^12*T2^13 + 
      46*T1^13*T2^13 - 32*T1^14*T2^13 + 28*T1^15*T2^13 - 16*T1^16*T2^13 + 
      9*T1^6*T2^14 - 20*T1^7*T2^14 + 25*T1^8*T2^14 - 32*T1^9*T2^14 - 
      13*T1^10*T2^14 + 29*T1^11*T2^14 - 13*T1^12*T2^14 - 32*T1^13*T2^14 + 
      25*T1^14*T2^14 - 20*T1^15*T2^14 + 9*T1^16*T2^14 - 4*T1^7*T2^15 + 
      12*T1^8*T2^15 - 20*T1^9*T2^15 + 28*T1^10*T2^15 - 12*T1^11*T2^15 - 
      12*T1^12*T2^15 + 28*T1^13*T2^15 - 20*T1^14*T2^15 + 12*T1^15*T2^15 - 
      4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 9*T1^10*T2^16 - 
      16*T1^11*T2^16 + 19*T1^12*T2^16 - 16*T1^13*T2^16 + 9*T1^14*T2^16 - 
      4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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 + 12*T1*T2 - 30*T1^2*T2 + 30*T1^3*T2 - 12*T1^4*T2 - 
      12*T1^5*T2 + 30*T1^6*T2 - 30*T1^7*T2 + 12*T1^8*T2 - 6*T1^9*T2 + 
      16*T2^2 - 30*T1*T2^2 + 97*T1^2*T2^2 - 125*T1^3*T2^2 + 150*T1^4*T2^2 - 
      163*T1^5*T2^2 + 150*T1^6*T2^2 - 125*T1^7*T2^2 + 97*T1^8*T2^2 - 
      30*T1^9*T2^2 + 16*T1^10*T2^2 - 26*T2^3 + 30*T1*T2^3 - 125*T1^2*T2^3 + 
      80*T1^3*T2^3 - 71*T1^4*T2^3 + 33*T1^5*T2^3 + 33*T1^6*T2^3 - 
      71*T1^7*T2^3 + 80*T1^8*T2^3 - 125*T1^9*T2^3 + 30*T1^10*T2^3 - 
      26*T1^11*T2^3 + 30*T2^4 - 12*T1*T2^4 + 150*T1^2*T2^4 - 71*T1^3*T2^4 + 
      250*T1^4*T2^4 - 358*T1^5*T2^4 + 382*T1^6*T2^4 - 358*T1^7*T2^4 + 
      250*T1^8*T2^4 - 71*T1^9*T2^4 + 150*T1^10*T2^4 - 12*T1^11*T2^4 + 
      30*T1^12*T2^4 - 26*T2^5 - 12*T1*T2^5 - 163*T1^2*T2^5 + 33*T1^3*T2^5 - 
      358*T1^4*T2^5 + 302*T1^5*T2^5 - 105*T1^6*T2^5 - 105*T1^7*T2^5 + 
      302*T1^8*T2^5 - 358*T1^9*T2^5 + 33*T1^10*T2^5 - 163*T1^11*T2^5 - 
      12*T1^12*T2^5 - 26*T1^13*T2^5 + 16*T2^6 + 30*T1*T2^6 + 150*T1^2*T2^6 + 
      33*T1^3*T2^6 + 382*T1^4*T2^6 - 105*T1^5*T2^6 - 53*T1^6*T2^6 + 
      83*T1^7*T2^6 - 53*T1^8*T2^6 - 105*T1^9*T2^6 + 382*T1^10*T2^6 + 
      33*T1^11*T2^6 + 150*T1^12*T2^6 + 30*T1^13*T2^6 + 16*T1^14*T2^6 - 
      6*T2^7 - 30*T1*T2^7 - 125*T1^2*T2^7 - 71*T1^3*T2^7 - 358*T1^4*T2^7 - 
      105*T1^5*T2^7 + 83*T1^6*T2^7 - 14*T1^7*T2^7 - 14*T1^8*T2^7 + 
      83*T1^9*T2^7 - 105*T1^10*T2^7 - 358*T1^11*T2^7 - 71*T1^12*T2^7 - 
      125*T1^13*T2^7 - 30*T1^14*T2^7 - 6*T1^15*T2^7 + 2*T2^8 + 12*T1*T2^8 + 
      97*T1^2*T2^8 + 80*T1^3*T2^8 + 250*T1^4*T2^8 + 302*T1^5*T2^8 - 
      53*T1^6*T2^8 - 14*T1^7*T2^8 - 14*T1^9*T2^8 - 53*T1^10*T2^8 + 
      302*T1^11*T2^8 + 250*T1^12*T2^8 + 80*T1^13*T2^8 + 97*T1^14*T2^8 + 
      12*T1^15*T2^8 + 2*T1^16*T2^8 - 6*T1*T2^9 - 30*T1^2*T2^9 - 
      125*T1^3*T2^9 - 71*T1^4*T2^9 - 358*T1^5*T2^9 - 105*T1^6*T2^9 + 
      83*T1^7*T2^9 - 14*T1^8*T2^9 - 14*T1^9*T2^9 + 83*T1^10*T2^9 - 
      105*T1^11*T2^9 - 358*T1^12*T2^9 - 71*T1^13*T2^9 - 125*T1^14*T2^9 - 
      30*T1^15*T2^9 - 6*T1^16*T2^9 + 16*T1^2*T2^10 + 30*T1^3*T2^10 + 
      150*T1^4*T2^10 + 33*T1^5*T2^10 + 382*T1^6*T2^10 - 105*T1^7*T2^10 - 
      53*T1^8*T2^10 + 83*T1^9*T2^10 - 53*T1^10*T2^10 - 105*T1^11*T2^10 + 
      382*T1^12*T2^10 + 33*T1^13*T2^10 + 150*T1^14*T2^10 + 30*T1^15*T2^10 + 
      16*T1^16*T2^10 - 26*T1^3*T2^11 - 12*T1^4*T2^11 - 163*T1^5*T2^11 + 
      33*T1^6*T2^11 - 358*T1^7*T2^11 + 302*T1^8*T2^11 - 105*T1^9*T2^11 - 
      105*T1^10*T2^11 + 302*T1^11*T2^11 - 358*T1^12*T2^11 + 33*T1^13*T2^11 - 
      163*T1^14*T2^11 - 12*T1^15*T2^11 - 26*T1^16*T2^11 + 30*T1^4*T2^12 - 
      12*T1^5*T2^12 + 150*T1^6*T2^12 - 71*T1^7*T2^12 + 250*T1^8*T2^12 - 
      358*T1^9*T2^12 + 382*T1^10*T2^12 - 358*T1^11*T2^12 + 250*T1^12*T2^12 - 
      71*T1^13*T2^12 + 150*T1^14*T2^12 - 12*T1^15*T2^12 + 30*T1^16*T2^12 - 
      26*T1^5*T2^13 + 30*T1^6*T2^13 - 125*T1^7*T2^13 + 80*T1^8*T2^13 - 
      71*T1^9*T2^13 + 33*T1^10*T2^13 + 33*T1^11*T2^13 - 71*T1^12*T2^13 + 
      80*T1^13*T2^13 - 125*T1^14*T2^13 + 30*T1^15*T2^13 - 26*T1^16*T2^13 + 
      16*T1^6*T2^14 - 30*T1^7*T2^14 + 97*T1^8*T2^14 - 125*T1^9*T2^14 + 
      150*T1^10*T2^14 - 163*T1^11*T2^14 + 150*T1^12*T2^14 - 125*T1^13*T2^14 + 
      97*T1^14*T2^14 - 30*T1^15*T2^14 + 16*T1^16*T2^14 - 6*T1^7*T2^15 + 
      12*T1^8*T2^15 - 30*T1^9*T2^15 + 30*T1^10*T2^15 - 12*T1^11*T2^15 - 
      12*T1^12*T2^15 + 30*T1^13*T2^15 - 30*T1^14*T2^15 + 12*T1^15*T2^15 - 
      6*T1^16*T2^15 + 2*T1^8*T2^16 - 6*T1^9*T2^16 + 16*T1^10*T2^16 - 
      26*T1^11*T2^16 + 30*T1^12*T2^16 - 26*T1^13*T2^16 + 16*T1^14*T2^16 - 
      6*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 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), -((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 + 60*T1*T2 - 73*T1^2*T2 + 73*T1^3*T2 - 
      29*T1^4*T2 - 29*T1^5*T2 + 73*T1^6*T2 - 73*T1^7*T2 + 60*T1^8*T2 - 
      15*T1^9*T2 + 30*T2^2 - 73*T1*T2^2 - 57*T1^2*T2^2 + 168*T1^3*T2^2 - 
      339*T1^4*T2^2 + 401*T1^5*T2^2 - 339*T1^6*T2^2 + 168*T1^7*T2^2 - 
      57*T1^8*T2^2 - 73*T1^9*T2^2 + 30*T1^10*T2^2 - 45*T2^3 + 73*T1*T2^3 + 
      168*T1^2*T2^3 - 152*T1^3*T2^3 + 240*T1^4*T2^3 - 89*T1^5*T2^3 - 
      89*T1^6*T2^3 + 240*T1^7*T2^3 - 152*T1^8*T2^3 + 168*T1^9*T2^3 + 
      73*T1^10*T2^3 - 45*T1^11*T2^3 + 51*T2^4 - 29*T1*T2^4 - 339*T1^2*T2^4 + 
      240*T1^3*T2^4 - 531*T1^4*T2^4 + 437*T1^5*T2^4 - 467*T1^6*T2^4 + 
      437*T1^7*T2^4 - 531*T1^8*T2^4 + 240*T1^9*T2^4 - 339*T1^10*T2^4 - 
      29*T1^11*T2^4 + 51*T1^12*T2^4 - 45*T2^5 - 29*T1*T2^5 + 401*T1^2*T2^5 - 
      89*T1^3*T2^5 + 437*T1^4*T2^5 - 84*T1^5*T2^5 + 87*T1^6*T2^5 + 
      87*T1^7*T2^5 - 84*T1^8*T2^5 + 437*T1^9*T2^5 - 89*T1^10*T2^5 + 
      401*T1^11*T2^5 - 29*T1^12*T2^5 - 45*T1^13*T2^5 + 30*T2^6 + 73*T1*T2^6 - 
      339*T1^2*T2^6 - 89*T1^3*T2^6 - 467*T1^4*T2^6 + 87*T1^5*T2^6 - 
      419*T1^6*T2^6 + 335*T1^7*T2^6 - 419*T1^8*T2^6 + 87*T1^9*T2^6 - 
      467*T1^10*T2^6 - 89*T1^11*T2^6 - 339*T1^12*T2^6 + 73*T1^13*T2^6 + 
      30*T1^14*T2^6 - 15*T2^7 - 73*T1*T2^7 + 168*T1^2*T2^7 + 240*T1^3*T2^7 + 
      437*T1^4*T2^7 + 87*T1^5*T2^7 + 335*T1^6*T2^7 - 14*T1^7*T2^7 - 
      14*T1^8*T2^7 + 335*T1^9*T2^7 + 87*T1^10*T2^7 + 437*T1^11*T2^7 + 
      240*T1^12*T2^7 + 168*T1^13*T2^7 - 73*T1^14*T2^7 - 15*T1^15*T2^7 + 
      3*T2^8 + 60*T1*T2^8 - 57*T1^2*T2^8 - 152*T1^3*T2^8 - 531*T1^4*T2^8 - 
      84*T1^5*T2^8 - 419*T1^6*T2^8 - 14*T1^7*T2^8 - 96*T1^8*T2^8 - 
      14*T1^9*T2^8 - 419*T1^10*T2^8 - 84*T1^11*T2^8 - 531*T1^12*T2^8 - 
      152*T1^13*T2^8 - 57*T1^14*T2^8 + 60*T1^15*T2^8 + 3*T1^16*T2^8 - 
      15*T1*T2^9 - 73*T1^2*T2^9 + 168*T1^3*T2^9 + 240*T1^4*T2^9 + 
      437*T1^5*T2^9 + 87*T1^6*T2^9 + 335*T1^7*T2^9 - 14*T1^8*T2^9 - 
      14*T1^9*T2^9 + 335*T1^10*T2^9 + 87*T1^11*T2^9 + 437*T1^12*T2^9 + 
      240*T1^13*T2^9 + 168*T1^14*T2^9 - 73*T1^15*T2^9 - 15*T1^16*T2^9 + 
      30*T1^2*T2^10 + 73*T1^3*T2^10 - 339*T1^4*T2^10 - 89*T1^5*T2^10 - 
      467*T1^6*T2^10 + 87*T1^7*T2^10 - 419*T1^8*T2^10 + 335*T1^9*T2^10 - 
      419*T1^10*T2^10 + 87*T1^11*T2^10 - 467*T1^12*T2^10 - 89*T1^13*T2^10 - 
      339*T1^14*T2^10 + 73*T1^15*T2^10 + 30*T1^16*T2^10 - 45*T1^3*T2^11 - 
      29*T1^4*T2^11 + 401*T1^5*T2^11 - 89*T1^6*T2^11 + 437*T1^7*T2^11 - 
      84*T1^8*T2^11 + 87*T1^9*T2^11 + 87*T1^10*T2^11 - 84*T1^11*T2^11 + 
      437*T1^12*T2^11 - 89*T1^13*T2^11 + 401*T1^14*T2^11 - 29*T1^15*T2^11 - 
      45*T1^16*T2^11 + 51*T1^4*T2^12 - 29*T1^5*T2^12 - 339*T1^6*T2^12 + 
      240*T1^7*T2^12 - 531*T1^8*T2^12 + 437*T1^9*T2^12 - 467*T1^10*T2^12 + 
      437*T1^11*T2^12 - 531*T1^12*T2^12 + 240*T1^13*T2^12 - 339*T1^14*T2^12 - 
      29*T1^15*T2^12 + 51*T1^16*T2^12 - 45*T1^5*T2^13 + 73*T1^6*T2^13 + 
      168*T1^7*T2^13 - 152*T1^8*T2^13 + 240*T1^9*T2^13 - 89*T1^10*T2^13 - 
      89*T1^11*T2^13 + 240*T1^12*T2^13 - 152*T1^13*T2^13 + 168*T1^14*T2^13 + 
      73*T1^15*T2^13 - 45*T1^16*T2^13 + 30*T1^6*T2^14 - 73*T1^7*T2^14 - 
      57*T1^8*T2^14 + 168*T1^9*T2^14 - 339*T1^10*T2^14 + 401*T1^11*T2^14 - 
      339*T1^12*T2^14 + 168*T1^13*T2^14 - 57*T1^14*T2^14 - 73*T1^15*T2^14 + 
      30*T1^16*T2^14 - 15*T1^7*T2^15 + 60*T1^8*T2^15 - 73*T1^9*T2^15 + 
      73*T1^10*T2^15 - 29*T1^11*T2^15 - 29*T1^12*T2^15 + 73*T1^13*T2^15 - 
      73*T1^14*T2^15 + 60*T1^15*T2^15 - 15*T1^16*T2^15 + 3*T1^8*T2^16 - 
      15*T1^9*T2^16 + 30*T1^10*T2^16 - 45*T1^11*T2^16 + 51*T1^12*T2^16 - 
      45*T1^13*T2^16 + 30*T1^14*T2^16 - 15*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^8*T2^8))}, 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 - 2*T1*T2 + 10*T1^2*T2 - 15*T1^3*T2 + 6*T1^4*T2 + 
      6*T1^5*T2 - 15*T1^6*T2 + 10*T1^7*T2 - 2*T1^8*T2 - 2*T1^9*T2 - 4*T2^2 + 
      10*T1*T2^2 - 2*T1^2*T2^2 - 20*T1^3*T2^2 + 49*T1^4*T2^2 - 62*T1^5*T2^2 + 
      49*T1^6*T2^2 - 20*T1^7*T2^2 - 2*T1^8*T2^2 + 10*T1^9*T2^2 - 
      4*T1^10*T2^2 + 14*T2^3 - 15*T1*T2^3 - 20*T1^2*T2^3 + 66*T1^3*T2^3 - 
      76*T1^4*T2^3 + 36*T1^5*T2^3 + 36*T1^6*T2^3 - 76*T1^7*T2^3 + 
      66*T1^8*T2^3 - 20*T1^9*T2^3 - 15*T1^10*T2^3 + 14*T1^11*T2^3 - 18*T2^4 + 
      6*T1*T2^4 + 49*T1^2*T2^4 - 76*T1^3*T2^4 + 21*T1^4*T2^4 + 63*T1^5*T2^4 - 
      103*T1^6*T2^4 + 63*T1^7*T2^4 + 21*T1^8*T2^4 - 76*T1^9*T2^4 + 
      49*T1^10*T2^4 + 6*T1^11*T2^4 - 18*T1^12*T2^4 + 14*T2^5 + 6*T1*T2^5 - 
      62*T1^2*T2^5 + 36*T1^3*T2^5 + 63*T1^4*T2^5 - 116*T1^5*T2^5 + 
      44*T1^6*T2^5 + 44*T1^7*T2^5 - 116*T1^8*T2^5 + 63*T1^9*T2^5 + 
      36*T1^10*T2^5 - 62*T1^11*T2^5 + 6*T1^12*T2^5 + 14*T1^13*T2^5 - 4*T2^6 - 
      15*T1*T2^6 + 49*T1^2*T2^6 + 36*T1^3*T2^6 - 103*T1^4*T2^6 + 
      44*T1^5*T2^6 + 129*T1^6*T2^6 - 155*T1^7*T2^6 + 129*T1^8*T2^6 + 
      44*T1^9*T2^6 - 103*T1^10*T2^6 + 36*T1^11*T2^6 + 49*T1^12*T2^6 - 
      15*T1^13*T2^6 - 4*T1^14*T2^6 - 2*T2^7 + 10*T1*T2^7 - 20*T1^2*T2^7 - 
      76*T1^3*T2^7 + 63*T1^4*T2^7 + 44*T1^5*T2^7 - 155*T1^6*T2^7 + 
      34*T1^7*T2^7 + 34*T1^8*T2^7 - 155*T1^9*T2^7 + 44*T1^10*T2^7 + 
      63*T1^11*T2^7 - 76*T1^12*T2^7 - 20*T1^13*T2^7 + 10*T1^14*T2^7 - 
      2*T1^15*T2^7 + 2*T2^8 - 2*T1*T2^8 - 2*T1^2*T2^8 + 66*T1^3*T2^8 + 
      21*T1^4*T2^8 - 116*T1^5*T2^8 + 129*T1^6*T2^8 + 34*T1^7*T2^8 - 
      24*T1^8*T2^8 + 34*T1^9*T2^8 + 129*T1^10*T2^8 - 116*T1^11*T2^8 + 
      21*T1^12*T2^8 + 66*T1^13*T2^8 - 2*T1^14*T2^8 - 2*T1^15*T2^8 + 
      2*T1^16*T2^8 - 2*T1*T2^9 + 10*T1^2*T2^9 - 20*T1^3*T2^9 - 76*T1^4*T2^9 + 
      63*T1^5*T2^9 + 44*T1^6*T2^9 - 155*T1^7*T2^9 + 34*T1^8*T2^9 + 
      34*T1^9*T2^9 - 155*T1^10*T2^9 + 44*T1^11*T2^9 + 63*T1^12*T2^9 - 
      76*T1^13*T2^9 - 20*T1^14*T2^9 + 10*T1^15*T2^9 - 2*T1^16*T2^9 - 
      4*T1^2*T2^10 - 15*T1^3*T2^10 + 49*T1^4*T2^10 + 36*T1^5*T2^10 - 
      103*T1^6*T2^10 + 44*T1^7*T2^10 + 129*T1^8*T2^10 - 155*T1^9*T2^10 + 
      129*T1^10*T2^10 + 44*T1^11*T2^10 - 103*T1^12*T2^10 + 36*T1^13*T2^10 + 
      49*T1^14*T2^10 - 15*T1^15*T2^10 - 4*T1^16*T2^10 + 14*T1^3*T2^11 + 
      6*T1^4*T2^11 - 62*T1^5*T2^11 + 36*T1^6*T2^11 + 63*T1^7*T2^11 - 
      116*T1^8*T2^11 + 44*T1^9*T2^11 + 44*T1^10*T2^11 - 116*T1^11*T2^11 + 
      63*T1^12*T2^11 + 36*T1^13*T2^11 - 62*T1^14*T2^11 + 6*T1^15*T2^11 + 
      14*T1^16*T2^11 - 18*T1^4*T2^12 + 6*T1^5*T2^12 + 49*T1^6*T2^12 - 
      76*T1^7*T2^12 + 21*T1^8*T2^12 + 63*T1^9*T2^12 - 103*T1^10*T2^12 + 
      63*T1^11*T2^12 + 21*T1^12*T2^12 - 76*T1^13*T2^12 + 49*T1^14*T2^12 + 
      6*T1^15*T2^12 - 18*T1^16*T2^12 + 14*T1^5*T2^13 - 15*T1^6*T2^13 - 
      20*T1^7*T2^13 + 66*T1^8*T2^13 - 76*T1^9*T2^13 + 36*T1^10*T2^13 + 
      36*T1^11*T2^13 - 76*T1^12*T2^13 + 66*T1^13*T2^13 - 20*T1^14*T2^13 - 
      15*T1^15*T2^13 + 14*T1^16*T2^13 - 4*T1^6*T2^14 + 10*T1^7*T2^14 - 
      2*T1^8*T2^14 - 20*T1^9*T2^14 + 49*T1^10*T2^14 - 62*T1^11*T2^14 + 
      49*T1^12*T2^14 - 20*T1^13*T2^14 - 2*T1^14*T2^14 + 10*T1^15*T2^14 - 
      4*T1^16*T2^14 - 2*T1^7*T2^15 - 2*T1^8*T2^15 + 10*T1^9*T2^15 - 
      15*T1^10*T2^15 + 6*T1^11*T2^15 + 6*T1^12*T2^15 - 15*T1^13*T2^15 + 
      10*T1^14*T2^15 - 2*T1^15*T2^15 - 2*T1^16*T2^15 + 2*T1^8*T2^16 - 
      2*T1^9*T2^16 - 4*T1^10*T2^16 + 14*T1^11*T2^16 - 18*T1^12*T2^16 + 
      14*T1^13*T2^16 - 4*T1^14*T2^16 - 2*T1^15*T2^16 + 2*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, NonAlternating, 193] -> 
  {(2 - 6*T + 13*T^2 - 17*T^3 + 13*T^4 - 6*T^5 + 2*T^6)/T^3, 
   -((9 - 27*T1 + 59*T1^2 - 77*T1^3 + 59*T1^4 - 27*T1^5 + 9*T1^6 - 27*T2 + 
      54*T1*T2 - 96*T1^2*T2 + 54*T1^3*T2 + 54*T1^4*T2 - 96*T1^5*T2 + 
      54*T1^6*T2 - 27*T1^7*T2 + 59*T2^2 - 96*T1*T2^2 + 255*T1^2*T2^2 - 
      266*T1^3*T2^2 + 221*T1^4*T2^2 - 266*T1^5*T2^2 + 255*T1^6*T2^2 - 
      96*T1^7*T2^2 + 59*T1^8*T2^2 - 77*T2^3 + 54*T1*T2^3 - 266*T1^2*T2^3 + 
      86*T1^3*T2^3 + 29*T1^4*T2^3 + 29*T1^5*T2^3 + 86*T1^6*T2^3 - 
      266*T1^7*T2^3 + 54*T1^8*T2^3 - 77*T1^9*T2^3 + 59*T2^4 + 54*T1*T2^4 + 
      221*T1^2*T2^4 + 29*T1^3*T2^4 + 273*T1^4*T2^4 - 579*T1^5*T2^4 + 
      273*T1^6*T2^4 + 29*T1^7*T2^4 + 221*T1^8*T2^4 + 54*T1^9*T2^4 + 
      59*T1^10*T2^4 - 27*T2^5 - 96*T1*T2^5 - 266*T1^2*T2^5 + 29*T1^3*T2^5 - 
      579*T1^4*T2^5 + 420*T1^5*T2^5 + 420*T1^6*T2^5 - 579*T1^7*T2^5 + 
      29*T1^8*T2^5 - 266*T1^9*T2^5 - 96*T1^10*T2^5 - 27*T1^11*T2^5 + 9*T2^6 + 
      54*T1*T2^6 + 255*T1^2*T2^6 + 86*T1^3*T2^6 + 273*T1^4*T2^6 + 
      420*T1^5*T2^6 - 1008*T1^6*T2^6 + 420*T1^7*T2^6 + 273*T1^8*T2^6 + 
      86*T1^9*T2^6 + 255*T1^10*T2^6 + 54*T1^11*T2^6 + 9*T1^12*T2^6 - 
      27*T1*T2^7 - 96*T1^2*T2^7 - 266*T1^3*T2^7 + 29*T1^4*T2^7 - 
      579*T1^5*T2^7 + 420*T1^6*T2^7 + 420*T1^7*T2^7 - 579*T1^8*T2^7 + 
      29*T1^9*T2^7 - 266*T1^10*T2^7 - 96*T1^11*T2^7 - 27*T1^12*T2^7 + 
      59*T1^2*T2^8 + 54*T1^3*T2^8 + 221*T1^4*T2^8 + 29*T1^5*T2^8 + 
      273*T1^6*T2^8 - 579*T1^7*T2^8 + 273*T1^8*T2^8 + 29*T1^9*T2^8 + 
      221*T1^10*T2^8 + 54*T1^11*T2^8 + 59*T1^12*T2^8 - 77*T1^3*T2^9 + 
      54*T1^4*T2^9 - 266*T1^5*T2^9 + 86*T1^6*T2^9 + 29*T1^7*T2^9 + 
      29*T1^8*T2^9 + 86*T1^9*T2^9 - 266*T1^10*T2^9 + 54*T1^11*T2^9 - 
      77*T1^12*T2^9 + 59*T1^4*T2^10 - 96*T1^5*T2^10 + 255*T1^6*T2^10 - 
      266*T1^7*T2^10 + 221*T1^8*T2^10 - 266*T1^9*T2^10 + 255*T1^10*T2^10 - 
      96*T1^11*T2^10 + 59*T1^12*T2^10 - 27*T1^5*T2^11 + 54*T1^6*T2^11 - 
      96*T1^7*T2^11 + 54*T1^8*T2^11 + 54*T1^9*T2^11 - 96*T1^10*T2^11 + 
      54*T1^11*T2^11 - 27*T1^12*T2^11 + 9*T1^6*T2^12 - 27*T1^7*T2^12 + 
      59*T1^8*T2^12 - 77*T1^9*T2^12 + 59*T1^10*T2^12 - 27*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 194] -> 
  {-(((1 - 3*T + T^2)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^3), 
   -((17 - 85*T1 + 161*T1^2 - 195*T1^3 + 161*T1^4 - 85*T1^5 + 17*T1^6 - 
      85*T2 + 340*T1*T2 - 368*T1^2*T2 + 162*T1^3*T2 + 162*T1^4*T2 - 
      368*T1^5*T2 + 340*T1^6*T2 - 85*T1^7*T2 + 161*T2^2 - 368*T1*T2^2 - 
      519*T1^2*T2^2 + 1470*T1^3*T2^2 - 1917*T1^4*T2^2 + 1470*T1^5*T2^2 - 
      519*T1^6*T2^2 - 368*T1^7*T2^2 + 161*T1^8*T2^2 - 195*T2^3 + 
      162*T1*T2^3 + 1470*T1^2*T2^3 - 1650*T1^3*T2^3 + 771*T1^4*T2^3 + 
      771*T1^5*T2^3 - 1650*T1^6*T2^3 + 1470*T1^7*T2^3 + 162*T1^8*T2^3 - 
      195*T1^9*T2^3 + 161*T2^4 + 162*T1*T2^4 - 1917*T1^2*T2^4 + 
      771*T1^3*T2^4 + 287*T1^4*T2^4 - 973*T1^5*T2^4 + 287*T1^6*T2^4 + 
      771*T1^7*T2^4 - 1917*T1^8*T2^4 + 162*T1^9*T2^4 + 161*T1^10*T2^4 - 
      85*T2^5 - 368*T1*T2^5 + 1470*T1^2*T2^5 + 771*T1^3*T2^5 - 
      973*T1^4*T2^5 + 618*T1^5*T2^5 + 618*T1^6*T2^5 - 973*T1^7*T2^5 + 
      771*T1^8*T2^5 + 1470*T1^9*T2^5 - 368*T1^10*T2^5 - 85*T1^11*T2^5 + 
      17*T2^6 + 340*T1*T2^6 - 519*T1^2*T2^6 - 1650*T1^3*T2^6 + 
      287*T1^4*T2^6 + 618*T1^5*T2^6 - 1380*T1^6*T2^6 + 618*T1^7*T2^6 + 
      287*T1^8*T2^6 - 1650*T1^9*T2^6 - 519*T1^10*T2^6 + 340*T1^11*T2^6 + 
      17*T1^12*T2^6 - 85*T1*T2^7 - 368*T1^2*T2^7 + 1470*T1^3*T2^7 + 
      771*T1^4*T2^7 - 973*T1^5*T2^7 + 618*T1^6*T2^7 + 618*T1^7*T2^7 - 
      973*T1^8*T2^7 + 771*T1^9*T2^7 + 1470*T1^10*T2^7 - 368*T1^11*T2^7 - 
      85*T1^12*T2^7 + 161*T1^2*T2^8 + 162*T1^3*T2^8 - 1917*T1^4*T2^8 + 
      771*T1^5*T2^8 + 287*T1^6*T2^8 - 973*T1^7*T2^8 + 287*T1^8*T2^8 + 
      771*T1^9*T2^8 - 1917*T1^10*T2^8 + 162*T1^11*T2^8 + 161*T1^12*T2^8 - 
      195*T1^3*T2^9 + 162*T1^4*T2^9 + 1470*T1^5*T2^9 - 1650*T1^6*T2^9 + 
      771*T1^7*T2^9 + 771*T1^8*T2^9 - 1650*T1^9*T2^9 + 1470*T1^10*T2^9 + 
      162*T1^11*T2^9 - 195*T1^12*T2^9 + 161*T1^4*T2^10 - 368*T1^5*T2^10 - 
      519*T1^6*T2^10 + 1470*T1^7*T2^10 - 1917*T1^8*T2^10 + 1470*T1^9*T2^10 - 
      519*T1^10*T2^10 - 368*T1^11*T2^10 + 161*T1^12*T2^10 - 85*T1^5*T2^11 + 
      340*T1^6*T2^11 - 368*T1^7*T2^11 + 162*T1^8*T2^11 + 162*T1^9*T2^11 - 
      368*T1^10*T2^11 + 340*T1^11*T2^11 - 85*T1^12*T2^11 + 17*T1^6*T2^12 - 
      85*T1^7*T2^12 + 161*T1^8*T2^12 - 195*T1^9*T2^12 + 161*T1^10*T2^12 - 
      85*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 195] -> 
  {(2 - 4*T + 3*T^2 - T^3 + 3*T^4 - 4*T^5 + 2*T^6)/T^3, 
   -((9 - 17*T1 + 11*T1^2 - T1^3 + 11*T1^4 - 17*T1^5 + 9*T1^6 - 17*T2 + 
      10*T1*T2 + 20*T1^2*T2 - 24*T1^3*T2 - 24*T1^4*T2 + 20*T1^5*T2 + 
      10*T1^6*T2 - 17*T1^7*T2 + 11*T2^2 + 20*T1*T2^2 - 44*T1^2*T2^2 + 
      20*T1^3*T2^2 + 26*T1^4*T2^2 + 20*T1^5*T2^2 - 44*T1^6*T2^2 + 
      20*T1^7*T2^2 + 11*T1^8*T2^2 - T2^3 - 24*T1*T2^3 + 20*T1^2*T2^3 + 
      20*T1^3*T2^3 - 27*T1^4*T2^3 - 27*T1^5*T2^3 + 20*T1^6*T2^3 + 
      20*T1^7*T2^3 - 24*T1^8*T2^3 - T1^9*T2^3 + 11*T2^4 - 24*T1*T2^4 + 
      26*T1^2*T2^4 - 27*T1^3*T2^4 - 38*T1^4*T2^4 + 72*T1^5*T2^4 - 
      38*T1^6*T2^4 - 27*T1^7*T2^4 + 26*T1^8*T2^4 - 24*T1^9*T2^4 + 
      11*T1^10*T2^4 - 17*T2^5 + 20*T1*T2^5 + 20*T1^2*T2^5 - 27*T1^3*T2^5 + 
      72*T1^4*T2^5 - 26*T1^5*T2^5 - 26*T1^6*T2^5 + 72*T1^7*T2^5 - 
      27*T1^8*T2^5 + 20*T1^9*T2^5 + 20*T1^10*T2^5 - 17*T1^11*T2^5 + 9*T2^6 + 
      10*T1*T2^6 - 44*T1^2*T2^6 + 20*T1^3*T2^6 - 38*T1^4*T2^6 - 
      26*T1^5*T2^6 + 36*T1^6*T2^6 - 26*T1^7*T2^6 - 38*T1^8*T2^6 + 
      20*T1^9*T2^6 - 44*T1^10*T2^6 + 10*T1^11*T2^6 + 9*T1^12*T2^6 - 
      17*T1*T2^7 + 20*T1^2*T2^7 + 20*T1^3*T2^7 - 27*T1^4*T2^7 + 
      72*T1^5*T2^7 - 26*T1^6*T2^7 - 26*T1^7*T2^7 + 72*T1^8*T2^7 - 
      27*T1^9*T2^7 + 20*T1^10*T2^7 + 20*T1^11*T2^7 - 17*T1^12*T2^7 + 
      11*T1^2*T2^8 - 24*T1^3*T2^8 + 26*T1^4*T2^8 - 27*T1^5*T2^8 - 
      38*T1^6*T2^8 + 72*T1^7*T2^8 - 38*T1^8*T2^8 - 27*T1^9*T2^8 + 
      26*T1^10*T2^8 - 24*T1^11*T2^8 + 11*T1^12*T2^8 - T1^3*T2^9 - 
      24*T1^4*T2^9 + 20*T1^5*T2^9 + 20*T1^6*T2^9 - 27*T1^7*T2^9 - 
      27*T1^8*T2^9 + 20*T1^9*T2^9 + 20*T1^10*T2^9 - 24*T1^11*T2^9 - 
      T1^12*T2^9 + 11*T1^4*T2^10 + 20*T1^5*T2^10 - 44*T1^6*T2^10 + 
      20*T1^7*T2^10 + 26*T1^8*T2^10 + 20*T1^9*T2^10 - 44*T1^10*T2^10 + 
      20*T1^11*T2^10 + 11*T1^12*T2^10 - 17*T1^5*T2^11 + 10*T1^6*T2^11 + 
      20*T1^7*T2^11 - 24*T1^8*T2^11 - 24*T1^9*T2^11 + 20*T1^10*T2^11 + 
      10*T1^11*T2^11 - 17*T1^12*T2^11 + 9*T1^6*T2^12 - 17*T1^7*T2^12 + 
      11*T1^8*T2^12 - T1^9*T2^12 + 11*T1^10*T2^12 - 17*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 196] -> 
  {-((2 - 6*T + 7*T^2 - 7*T^3 + 7*T^4 - 6*T^5 + 2*T^6)/T^3), 
   -((15 - 44*T1 + 50*T1^2 - 49*T1^3 + 50*T1^4 - 44*T1^5 + 15*T1^6 - 44*T2 + 
      84*T1*T2 - 16*T1^2*T2 - 4*T1^3*T2 - 4*T1^4*T2 - 16*T1^5*T2 + 
      84*T1^6*T2 - 44*T1^7*T2 + 50*T2^2 - 16*T1*T2^2 - 163*T1^2*T2^2 + 
      129*T1^3*T2^2 - 95*T1^4*T2^2 + 129*T1^5*T2^2 - 163*T1^6*T2^2 - 
      16*T1^7*T2^2 + 50*T1^8*T2^2 - 49*T2^3 - 4*T1*T2^3 + 129*T1^2*T2^3 + 
      14*T1^3*T2^3 - 23*T1^4*T2^3 - 23*T1^5*T2^3 + 14*T1^6*T2^3 + 
      129*T1^7*T2^3 - 4*T1^8*T2^3 - 49*T1^9*T2^3 + 50*T2^4 - 4*T1*T2^4 - 
      95*T1^2*T2^4 - 23*T1^3*T2^4 - T1^4*T2^4 + 7*T1^5*T2^4 - T1^6*T2^4 - 
      23*T1^7*T2^4 - 95*T1^8*T2^4 - 4*T1^9*T2^4 + 50*T1^10*T2^4 - 44*T2^5 - 
      16*T1*T2^5 + 129*T1^2*T2^5 - 23*T1^3*T2^5 + 7*T1^4*T2^5 + 8*T1^5*T2^5 + 
      8*T1^6*T2^5 + 7*T1^7*T2^5 - 23*T1^8*T2^5 + 129*T1^9*T2^5 - 
      16*T1^10*T2^5 - 44*T1^11*T2^5 + 15*T2^6 + 84*T1*T2^6 - 163*T1^2*T2^6 + 
      14*T1^3*T2^6 - T1^4*T2^6 + 8*T1^5*T2^6 - 24*T1^6*T2^6 + 8*T1^7*T2^6 - 
      T1^8*T2^6 + 14*T1^9*T2^6 - 163*T1^10*T2^6 + 84*T1^11*T2^6 + 
      15*T1^12*T2^6 - 44*T1*T2^7 - 16*T1^2*T2^7 + 129*T1^3*T2^7 - 
      23*T1^4*T2^7 + 7*T1^5*T2^7 + 8*T1^6*T2^7 + 8*T1^7*T2^7 + 7*T1^8*T2^7 - 
      23*T1^9*T2^7 + 129*T1^10*T2^7 - 16*T1^11*T2^7 - 44*T1^12*T2^7 + 
      50*T1^2*T2^8 - 4*T1^3*T2^8 - 95*T1^4*T2^8 - 23*T1^5*T2^8 - T1^6*T2^8 + 
      7*T1^7*T2^8 - T1^8*T2^8 - 23*T1^9*T2^8 - 95*T1^10*T2^8 - 4*T1^11*T2^8 + 
      50*T1^12*T2^8 - 49*T1^3*T2^9 - 4*T1^4*T2^9 + 129*T1^5*T2^9 + 
      14*T1^6*T2^9 - 23*T1^7*T2^9 - 23*T1^8*T2^9 + 14*T1^9*T2^9 + 
      129*T1^10*T2^9 - 4*T1^11*T2^9 - 49*T1^12*T2^9 + 50*T1^4*T2^10 - 
      16*T1^5*T2^10 - 163*T1^6*T2^10 + 129*T1^7*T2^10 - 95*T1^8*T2^10 + 
      129*T1^9*T2^10 - 163*T1^10*T2^10 - 16*T1^11*T2^10 + 50*T1^12*T2^10 - 
      44*T1^5*T2^11 + 84*T1^6*T2^11 - 16*T1^7*T2^11 - 4*T1^8*T2^11 - 
      4*T1^9*T2^11 - 16*T1^10*T2^11 + 84*T1^11*T2^11 - 44*T1^12*T2^11 + 
      15*T1^6*T2^12 - 44*T1^7*T2^12 + 50*T1^8*T2^12 - 49*T1^9*T2^12 + 
      50*T1^10*T2^12 - 44*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 197] -> 
  {(2 - 10*T + 25*T^2 - 33*T^3 + 25*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (9 - 44*T1 + 110*T1^2 - 145*T1^3 + 110*T1^4 - 44*T1^5 + 9*T1^6 - 44*T2 + 
     172*T1*T2 - 324*T1^2*T2 + 172*T1^3*T2 + 172*T1^4*T2 - 324*T1^5*T2 + 
     172*T1^6*T2 - 44*T1^7*T2 + 110*T2^2 - 324*T1*T2^2 + 389*T1^2*T2^2 + 
     365*T1^3*T2^2 - 849*T1^4*T2^2 + 365*T1^5*T2^2 + 389*T1^6*T2^2 - 
     324*T1^7*T2^2 + 110*T1^8*T2^2 - 145*T2^3 + 172*T1*T2^3 + 365*T1^2*T2^3 - 
     1830*T1^3*T2^3 + 1089*T1^4*T2^3 + 1089*T1^5*T2^3 - 1830*T1^6*T2^3 + 
     365*T1^7*T2^3 + 172*T1^8*T2^3 - 145*T1^9*T2^3 + 110*T2^4 + 172*T1*T2^4 - 
     849*T1^2*T2^4 + 1089*T1^3*T2^4 + 2907*T1^4*T2^4 - 5391*T1^5*T2^4 + 
     2907*T1^6*T2^4 + 1089*T1^7*T2^4 - 849*T1^8*T2^4 + 172*T1^9*T2^4 + 
     110*T1^10*T2^4 - 44*T2^5 - 324*T1*T2^5 + 365*T1^2*T2^5 + 
     1089*T1^3*T2^5 - 5391*T1^4*T2^5 + 3180*T1^5*T2^5 + 3180*T1^6*T2^5 - 
     5391*T1^7*T2^5 + 1089*T1^8*T2^5 + 365*T1^9*T2^5 - 324*T1^10*T2^5 - 
     44*T1^11*T2^5 + 9*T2^6 + 172*T1*T2^6 + 389*T1^2*T2^6 - 1830*T1^3*T2^6 + 
     2907*T1^4*T2^6 + 3180*T1^5*T2^6 - 7068*T1^6*T2^6 + 3180*T1^7*T2^6 + 
     2907*T1^8*T2^6 - 1830*T1^9*T2^6 + 389*T1^10*T2^6 + 172*T1^11*T2^6 + 
     9*T1^12*T2^6 - 44*T1*T2^7 - 324*T1^2*T2^7 + 365*T1^3*T2^7 + 
     1089*T1^4*T2^7 - 5391*T1^5*T2^7 + 3180*T1^6*T2^7 + 3180*T1^7*T2^7 - 
     5391*T1^8*T2^7 + 1089*T1^9*T2^7 + 365*T1^10*T2^7 - 324*T1^11*T2^7 - 
     44*T1^12*T2^7 + 110*T1^2*T2^8 + 172*T1^3*T2^8 - 849*T1^4*T2^8 + 
     1089*T1^5*T2^8 + 2907*T1^6*T2^8 - 5391*T1^7*T2^8 + 2907*T1^8*T2^8 + 
     1089*T1^9*T2^8 - 849*T1^10*T2^8 + 172*T1^11*T2^8 + 110*T1^12*T2^8 - 
     145*T1^3*T2^9 + 172*T1^4*T2^9 + 365*T1^5*T2^9 - 1830*T1^6*T2^9 + 
     1089*T1^7*T2^9 + 1089*T1^8*T2^9 - 1830*T1^9*T2^9 + 365*T1^10*T2^9 + 
     172*T1^11*T2^9 - 145*T1^12*T2^9 + 110*T1^4*T2^10 - 324*T1^5*T2^10 + 
     389*T1^6*T2^10 + 365*T1^7*T2^10 - 849*T1^8*T2^10 + 365*T1^9*T2^10 + 
     389*T1^10*T2^10 - 324*T1^11*T2^10 + 110*T1^12*T2^10 - 44*T1^5*T2^11 + 
     172*T1^6*T2^11 - 324*T1^7*T2^11 + 172*T1^8*T2^11 + 172*T1^9*T2^11 - 
     324*T1^10*T2^11 + 172*T1^11*T2^11 - 44*T1^12*T2^11 + 9*T1^6*T2^12 - 
     44*T1^7*T2^12 + 110*T1^8*T2^12 - 145*T1^9*T2^12 + 110*T1^10*T2^12 - 
     44*T1^11*T2^12 + 9*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 198] -> 
  {(1 - 4*T + 6*T^2 - 5*T^3 + 6*T^4 - 4*T^5 + T^6)/T^3, 
   (1 - 4*T1 + 6*T1^2 - 5*T1^3 + 6*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 12*T1*T2 - 
     8*T1^2*T2 - 4*T1^3*T2 - 4*T1^4*T2 - 8*T1^5*T2 + 12*T1^6*T2 - 4*T1^7*T2 + 
     6*T2^2 - 8*T1*T2^2 - 22*T1^2*T2^2 + 43*T1^3*T2^2 - 14*T1^4*T2^2 + 
     43*T1^5*T2^2 - 22*T1^6*T2^2 - 8*T1^7*T2^2 + 6*T1^8*T2^2 - 5*T2^3 - 
     4*T1*T2^3 + 43*T1^2*T2^3 - 36*T1^3*T2^3 - 14*T1^4*T2^3 - 14*T1^5*T2^3 - 
     36*T1^6*T2^3 + 43*T1^7*T2^3 - 4*T1^8*T2^3 - 5*T1^9*T2^3 + 6*T2^4 - 
     4*T1*T2^4 - 14*T1^2*T2^4 - 14*T1^3*T2^4 + 67*T1^4*T2^4 - 83*T1^5*T2^4 + 
     67*T1^6*T2^4 - 14*T1^7*T2^4 - 14*T1^8*T2^4 - 4*T1^9*T2^4 + 
     6*T1^10*T2^4 - 4*T2^5 - 8*T1*T2^5 + 43*T1^2*T2^5 - 14*T1^3*T2^5 - 
     83*T1^4*T2^5 + 104*T1^5*T2^5 + 104*T1^6*T2^5 - 83*T1^7*T2^5 - 
     14*T1^8*T2^5 + 43*T1^9*T2^5 - 8*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 
     12*T1*T2^6 - 22*T1^2*T2^6 - 36*T1^3*T2^6 + 67*T1^4*T2^6 + 
     104*T1^5*T2^6 - 372*T1^6*T2^6 + 104*T1^7*T2^6 + 67*T1^8*T2^6 - 
     36*T1^9*T2^6 - 22*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 
     8*T1^2*T2^7 + 43*T1^3*T2^7 - 14*T1^4*T2^7 - 83*T1^5*T2^7 + 
     104*T1^6*T2^7 + 104*T1^7*T2^7 - 83*T1^8*T2^7 - 14*T1^9*T2^7 + 
     43*T1^10*T2^7 - 8*T1^11*T2^7 - 4*T1^12*T2^7 + 6*T1^2*T2^8 - 
     4*T1^3*T2^8 - 14*T1^4*T2^8 - 14*T1^5*T2^8 + 67*T1^6*T2^8 - 
     83*T1^7*T2^8 + 67*T1^8*T2^8 - 14*T1^9*T2^8 - 14*T1^10*T2^8 - 
     4*T1^11*T2^8 + 6*T1^12*T2^8 - 5*T1^3*T2^9 - 4*T1^4*T2^9 + 43*T1^5*T2^9 - 
     36*T1^6*T2^9 - 14*T1^7*T2^9 - 14*T1^8*T2^9 - 36*T1^9*T2^9 + 
     43*T1^10*T2^9 - 4*T1^11*T2^9 - 5*T1^12*T2^9 + 6*T1^4*T2^10 - 
     8*T1^5*T2^10 - 22*T1^6*T2^10 + 43*T1^7*T2^10 - 14*T1^8*T2^10 + 
     43*T1^9*T2^10 - 22*T1^10*T2^10 - 8*T1^11*T2^10 + 6*T1^12*T2^10 - 
     4*T1^5*T2^11 + 12*T1^6*T2^11 - 8*T1^7*T2^11 - 4*T1^8*T2^11 - 
     4*T1^9*T2^11 - 8*T1^10*T2^11 + 12*T1^11*T2^11 - 4*T1^12*T2^11 + 
     T1^6*T2^12 - 4*T1^7*T2^12 + 6*T1^8*T2^12 - 5*T1^9*T2^12 + 
     6*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 199] -> 
  {(1 - T + 2*T^2 - 3*T^3 + 2*T^4 - T^5 + T^6)/T^3, 
   -((1 - T1 + 2*T1^2 - 3*T1^3 + 2*T1^4 - T1^5 + T1^6 - T2 + 2*T1*T2 - 
      2*T1^2*T2 + T1^3*T2 + T1^4*T2 - 2*T1^5*T2 + 2*T1^6*T2 - T1^7*T2 + 
      2*T2^2 - 2*T1*T2^2 + 9*T1^2*T2^2 - 14*T1^3*T2^2 + 15*T1^4*T2^2 - 
      14*T1^5*T2^2 + 9*T1^6*T2^2 - 2*T1^7*T2^2 + 2*T1^8*T2^2 - 3*T2^3 + 
      T1*T2^3 - 14*T1^2*T2^3 + 10*T1^3*T2^3 - 3*T1^4*T2^3 - 3*T1^5*T2^3 + 
      10*T1^6*T2^3 - 14*T1^7*T2^3 + T1^8*T2^3 - 3*T1^9*T2^3 + 2*T2^4 + 
      T1*T2^4 + 15*T1^2*T2^4 - 3*T1^3*T2^4 + 6*T1^4*T2^4 - 10*T1^5*T2^4 + 
      6*T1^6*T2^4 - 3*T1^7*T2^4 + 15*T1^8*T2^4 + T1^9*T2^4 + 2*T1^10*T2^4 - 
      T2^5 - 2*T1*T2^5 - 14*T1^2*T2^5 - 3*T1^3*T2^5 - 10*T1^4*T2^5 + 
      6*T1^5*T2^5 + 6*T1^6*T2^5 - 10*T1^7*T2^5 - 3*T1^8*T2^5 - 14*T1^9*T2^5 - 
      2*T1^10*T2^5 - T1^11*T2^5 + T2^6 + 2*T1*T2^6 + 9*T1^2*T2^6 + 
      10*T1^3*T2^6 + 6*T1^4*T2^6 + 6*T1^5*T2^6 - 12*T1^6*T2^6 + 6*T1^7*T2^6 + 
      6*T1^8*T2^6 + 10*T1^9*T2^6 + 9*T1^10*T2^6 + 2*T1^11*T2^6 + T1^12*T2^6 - 
      T1*T2^7 - 2*T1^2*T2^7 - 14*T1^3*T2^7 - 3*T1^4*T2^7 - 10*T1^5*T2^7 + 
      6*T1^6*T2^7 + 6*T1^7*T2^7 - 10*T1^8*T2^7 - 3*T1^9*T2^7 - 
      14*T1^10*T2^7 - 2*T1^11*T2^7 - T1^12*T2^7 + 2*T1^2*T2^8 + T1^3*T2^8 + 
      15*T1^4*T2^8 - 3*T1^5*T2^8 + 6*T1^6*T2^8 - 10*T1^7*T2^8 + 6*T1^8*T2^8 - 
      3*T1^9*T2^8 + 15*T1^10*T2^8 + T1^11*T2^8 + 2*T1^12*T2^8 - 3*T1^3*T2^9 + 
      T1^4*T2^9 - 14*T1^5*T2^9 + 10*T1^6*T2^9 - 3*T1^7*T2^9 - 3*T1^8*T2^9 + 
      10*T1^9*T2^9 - 14*T1^10*T2^9 + T1^11*T2^9 - 3*T1^12*T2^9 + 
      2*T1^4*T2^10 - 2*T1^5*T2^10 + 9*T1^6*T2^10 - 14*T1^7*T2^10 + 
      15*T1^8*T2^10 - 14*T1^9*T2^10 + 9*T1^10*T2^10 - 2*T1^11*T2^10 + 
      2*T1^12*T2^10 - T1^5*T2^11 + 2*T1^6*T2^11 - 2*T1^7*T2^11 + T1^8*T2^11 + 
      T1^9*T2^11 - 2*T1^10*T2^11 + 2*T1^11*T2^11 - T1^12*T2^11 + T1^6*T2^12 - 
      T1^7*T2^12 + 2*T1^8*T2^12 - 3*T1^9*T2^12 + 2*T1^10*T2^12 - 
      T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 200] -> {(2 - 2*T + T^2 - 2*T^3 + 2*T^4)/T^2, 
   -((1 - T1 + T1^2 - T1^3 + T1^4 - T2 + 16*T1*T2 - 12*T1^2*T2 - 12*T1^3*T2 + 
      16*T1^4*T2 - T1^5*T2 + T2^2 - 12*T1*T2^2 + 27*T1^2*T2^2 - 
      31*T1^3*T2^2 + 27*T1^4*T2^2 - 12*T1^5*T2^2 + T1^6*T2^2 - T2^3 - 
      12*T1*T2^3 - 31*T1^2*T2^3 + 20*T1^3*T2^3 + 20*T1^4*T2^3 - 
      31*T1^5*T2^3 - 12*T1^6*T2^3 - T1^7*T2^3 + T2^4 + 16*T1*T2^4 + 
      27*T1^2*T2^4 + 20*T1^3*T2^4 - 48*T1^4*T2^4 + 20*T1^5*T2^4 + 
      27*T1^6*T2^4 + 16*T1^7*T2^4 + T1^8*T2^4 - T1*T2^5 - 12*T1^2*T2^5 - 
      31*T1^3*T2^5 + 20*T1^4*T2^5 + 20*T1^5*T2^5 - 31*T1^6*T2^5 - 
      12*T1^7*T2^5 - T1^8*T2^5 + T1^2*T2^6 - 12*T1^3*T2^6 + 27*T1^4*T2^6 - 
      31*T1^5*T2^6 + 27*T1^6*T2^6 - 12*T1^7*T2^6 + T1^8*T2^6 - T1^3*T2^7 + 
      16*T1^4*T2^7 - 12*T1^5*T2^7 - 12*T1^6*T2^7 + 16*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)/
     (T1^4*T2^4))}, Knot[12, NonAlternating, 201] -> 
  {-((3 - 13*T + 23*T^2 - 27*T^3 + 23*T^4 - 13*T^5 + 3*T^6)/T^3), 
   -((57 - 245*T1 + 430*T1^2 - 505*T1^3 + 430*T1^4 - 245*T1^5 + 57*T1^6 - 
      245*T2 + 810*T1*T2 - 800*T1^2*T2 + 324*T1^3*T2 + 324*T1^4*T2 - 
      800*T1^5*T2 + 810*T1^6*T2 - 245*T1^7*T2 + 430*T2^2 - 800*T1*T2^2 - 
      837*T1^2*T2^2 + 2338*T1^3*T2^2 - 2923*T1^4*T2^2 + 2338*T1^5*T2^2 - 
      837*T1^6*T2^2 - 800*T1^7*T2^2 + 430*T1^8*T2^2 - 505*T2^3 + 
      324*T1*T2^3 + 2338*T1^2*T2^3 - 2404*T1^3*T2^3 + 1002*T1^4*T2^3 + 
      1002*T1^5*T2^3 - 2404*T1^6*T2^3 + 2338*T1^7*T2^3 + 324*T1^8*T2^3 - 
      505*T1^9*T2^3 + 430*T2^4 + 324*T1*T2^4 - 2923*T1^2*T2^4 + 
      1002*T1^3*T2^4 + 827*T1^4*T2^4 - 1801*T1^5*T2^4 + 827*T1^6*T2^4 + 
      1002*T1^7*T2^4 - 2923*T1^8*T2^4 + 324*T1^9*T2^4 + 430*T1^10*T2^4 - 
      245*T2^5 - 800*T1*T2^5 + 2338*T1^2*T2^5 + 1002*T1^3*T2^5 - 
      1801*T1^4*T2^5 + 1112*T1^5*T2^5 + 1112*T1^6*T2^5 - 1801*T1^7*T2^5 + 
      1002*T1^8*T2^5 + 2338*T1^9*T2^5 - 800*T1^10*T2^5 - 245*T1^11*T2^5 + 
      57*T2^6 + 810*T1*T2^6 - 837*T1^2*T2^6 - 2404*T1^3*T2^6 + 
      827*T1^4*T2^6 + 1112*T1^5*T2^6 - 2604*T1^6*T2^6 + 1112*T1^7*T2^6 + 
      827*T1^8*T2^6 - 2404*T1^9*T2^6 - 837*T1^10*T2^6 + 810*T1^11*T2^6 + 
      57*T1^12*T2^6 - 245*T1*T2^7 - 800*T1^2*T2^7 + 2338*T1^3*T2^7 + 
      1002*T1^4*T2^7 - 1801*T1^5*T2^7 + 1112*T1^6*T2^7 + 1112*T1^7*T2^7 - 
      1801*T1^8*T2^7 + 1002*T1^9*T2^7 + 2338*T1^10*T2^7 - 800*T1^11*T2^7 - 
      245*T1^12*T2^7 + 430*T1^2*T2^8 + 324*T1^3*T2^8 - 2923*T1^4*T2^8 + 
      1002*T1^5*T2^8 + 827*T1^6*T2^8 - 1801*T1^7*T2^8 + 827*T1^8*T2^8 + 
      1002*T1^9*T2^8 - 2923*T1^10*T2^8 + 324*T1^11*T2^8 + 430*T1^12*T2^8 - 
      505*T1^3*T2^9 + 324*T1^4*T2^9 + 2338*T1^5*T2^9 - 2404*T1^6*T2^9 + 
      1002*T1^7*T2^9 + 1002*T1^8*T2^9 - 2404*T1^9*T2^9 + 2338*T1^10*T2^9 + 
      324*T1^11*T2^9 - 505*T1^12*T2^9 + 430*T1^4*T2^10 - 800*T1^5*T2^10 - 
      837*T1^6*T2^10 + 2338*T1^7*T2^10 - 2923*T1^8*T2^10 + 2338*T1^9*T2^10 - 
      837*T1^10*T2^10 - 800*T1^11*T2^10 + 430*T1^12*T2^10 - 245*T1^5*T2^11 + 
      810*T1^6*T2^11 - 800*T1^7*T2^11 + 324*T1^8*T2^11 + 324*T1^9*T2^11 - 
      800*T1^10*T2^11 + 810*T1^11*T2^11 - 245*T1^12*T2^11 + 57*T1^6*T2^12 - 
      245*T1^7*T2^12 + 430*T1^8*T2^12 - 505*T1^9*T2^12 + 430*T1^10*T2^12 - 
      245*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 202] -> 
  {(3 - 13*T + 31*T^2 - 41*T^3 + 31*T^4 - 13*T^5 + 3*T^6)/T^3, 
   -((30 - 128*T1 + 305*T1^2 - 402*T1^3 + 305*T1^4 - 128*T1^5 + 30*T1^6 - 
      128*T2 + 420*T1*T2 - 758*T1^2*T2 + 416*T1^3*T2 + 416*T1^4*T2 - 
      758*T1^5*T2 + 420*T1^6*T2 - 128*T1^7*T2 + 305*T2^2 - 758*T1*T2^2 + 
      1026*T1^2*T2^2 + 325*T1^3*T2^2 - 1360*T1^4*T2^2 + 325*T1^5*T2^2 + 
      1026*T1^6*T2^2 - 758*T1^7*T2^2 + 305*T1^8*T2^2 - 402*T2^3 + 
      416*T1*T2^3 + 325*T1^2*T2^3 - 2994*T1^3*T2^3 + 2041*T1^4*T2^3 + 
      2041*T1^5*T2^3 - 2994*T1^6*T2^3 + 325*T1^7*T2^3 + 416*T1^8*T2^3 - 
      402*T1^9*T2^3 + 305*T2^4 + 416*T1*T2^4 - 1360*T1^2*T2^4 + 
      2041*T1^3*T2^4 + 4588*T1^4*T2^4 - 9510*T1^5*T2^4 + 4588*T1^6*T2^4 + 
      2041*T1^7*T2^4 - 1360*T1^8*T2^4 + 416*T1^9*T2^4 + 305*T1^10*T2^4 - 
      128*T2^5 - 758*T1*T2^5 + 325*T1^2*T2^5 + 2041*T1^3*T2^5 - 
      9510*T1^4*T2^5 + 6174*T1^5*T2^5 + 6174*T1^6*T2^5 - 9510*T1^7*T2^5 + 
      2041*T1^8*T2^5 + 325*T1^9*T2^5 - 758*T1^10*T2^5 - 128*T1^11*T2^5 + 
      30*T2^6 + 420*T1*T2^6 + 1026*T1^2*T2^6 - 2994*T1^3*T2^6 + 
      4588*T1^4*T2^6 + 6174*T1^5*T2^6 - 14244*T1^6*T2^6 + 6174*T1^7*T2^6 + 
      4588*T1^8*T2^6 - 2994*T1^9*T2^6 + 1026*T1^10*T2^6 + 420*T1^11*T2^6 + 
      30*T1^12*T2^6 - 128*T1*T2^7 - 758*T1^2*T2^7 + 325*T1^3*T2^7 + 
      2041*T1^4*T2^7 - 9510*T1^5*T2^7 + 6174*T1^6*T2^7 + 6174*T1^7*T2^7 - 
      9510*T1^8*T2^7 + 2041*T1^9*T2^7 + 325*T1^10*T2^7 - 758*T1^11*T2^7 - 
      128*T1^12*T2^7 + 305*T1^2*T2^8 + 416*T1^3*T2^8 - 1360*T1^4*T2^8 + 
      2041*T1^5*T2^8 + 4588*T1^6*T2^8 - 9510*T1^7*T2^8 + 4588*T1^8*T2^8 + 
      2041*T1^9*T2^8 - 1360*T1^10*T2^8 + 416*T1^11*T2^8 + 305*T1^12*T2^8 - 
      402*T1^3*T2^9 + 416*T1^4*T2^9 + 325*T1^5*T2^9 - 2994*T1^6*T2^9 + 
      2041*T1^7*T2^9 + 2041*T1^8*T2^9 - 2994*T1^9*T2^9 + 325*T1^10*T2^9 + 
      416*T1^11*T2^9 - 402*T1^12*T2^9 + 305*T1^4*T2^10 - 758*T1^5*T2^10 + 
      1026*T1^6*T2^10 + 325*T1^7*T2^10 - 1360*T1^8*T2^10 + 325*T1^9*T2^10 + 
      1026*T1^10*T2^10 - 758*T1^11*T2^10 + 305*T1^12*T2^10 - 128*T1^5*T2^11 + 
      420*T1^6*T2^11 - 758*T1^7*T2^11 + 416*T1^8*T2^11 + 416*T1^9*T2^11 - 
      758*T1^10*T2^11 + 420*T1^11*T2^11 - 128*T1^12*T2^11 + 30*T1^6*T2^12 - 
      128*T1^7*T2^12 + 305*T1^8*T2^12 - 402*T1^9*T2^12 + 305*T1^10*T2^12 - 
      128*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 203] -> 
  {(3 - 5*T + T^2 + 3*T^3 + T^4 - 5*T^5 + 3*T^6)/T^3, 
   (84 - 136*T1 + 19*T1^2 + 96*T1^3 + 19*T1^4 - 136*T1^5 + 84*T1^6 - 136*T2 + 
     82*T1*T2 + 196*T1^2*T2 - 190*T1^3*T2 - 190*T1^4*T2 + 196*T1^5*T2 + 
     82*T1^6*T2 - 136*T1^7*T2 + 19*T2^2 + 196*T1*T2^2 - 344*T1^2*T2^2 + 
     38*T1^3*T2^2 + 272*T1^4*T2^2 + 38*T1^5*T2^2 - 344*T1^6*T2^2 + 
     196*T1^7*T2^2 + 19*T1^8*T2^2 + 96*T2^3 - 190*T1*T2^3 + 38*T1^2*T2^3 + 
     252*T1^3*T2^3 - 175*T1^4*T2^3 - 175*T1^5*T2^3 + 252*T1^6*T2^3 + 
     38*T1^7*T2^3 - 190*T1^8*T2^3 + 96*T1^9*T2^3 + 19*T2^4 - 190*T1*T2^4 + 
     272*T1^2*T2^4 - 175*T1^3*T2^4 + 13*T1^4*T2^4 + 11*T1^5*T2^4 + 
     13*T1^6*T2^4 - 175*T1^7*T2^4 + 272*T1^8*T2^4 - 190*T1^9*T2^4 + 
     19*T1^10*T2^4 - 136*T2^5 + 196*T1*T2^5 + 38*T1^2*T2^5 - 175*T1^3*T2^5 + 
     11*T1^4*T2^5 + 58*T1^5*T2^5 + 58*T1^6*T2^5 + 11*T1^7*T2^5 - 
     175*T1^8*T2^5 + 38*T1^9*T2^5 + 196*T1^10*T2^5 - 136*T1^11*T2^5 + 
     84*T2^6 + 82*T1*T2^6 - 344*T1^2*T2^6 + 252*T1^3*T2^6 + 13*T1^4*T2^6 + 
     58*T1^5*T2^6 - 168*T1^6*T2^6 + 58*T1^7*T2^6 + 13*T1^8*T2^6 + 
     252*T1^9*T2^6 - 344*T1^10*T2^6 + 82*T1^11*T2^6 + 84*T1^12*T2^6 - 
     136*T1*T2^7 + 196*T1^2*T2^7 + 38*T1^3*T2^7 - 175*T1^4*T2^7 + 
     11*T1^5*T2^7 + 58*T1^6*T2^7 + 58*T1^7*T2^7 + 11*T1^8*T2^7 - 
     175*T1^9*T2^7 + 38*T1^10*T2^7 + 196*T1^11*T2^7 - 136*T1^12*T2^7 + 
     19*T1^2*T2^8 - 190*T1^3*T2^8 + 272*T1^4*T2^8 - 175*T1^5*T2^8 + 
     13*T1^6*T2^8 + 11*T1^7*T2^8 + 13*T1^8*T2^8 - 175*T1^9*T2^8 + 
     272*T1^10*T2^8 - 190*T1^11*T2^8 + 19*T1^12*T2^8 + 96*T1^3*T2^9 - 
     190*T1^4*T2^9 + 38*T1^5*T2^9 + 252*T1^6*T2^9 - 175*T1^7*T2^9 - 
     175*T1^8*T2^9 + 252*T1^9*T2^9 + 38*T1^10*T2^9 - 190*T1^11*T2^9 + 
     96*T1^12*T2^9 + 19*T1^4*T2^10 + 196*T1^5*T2^10 - 344*T1^6*T2^10 + 
     38*T1^7*T2^10 + 272*T1^8*T2^10 + 38*T1^9*T2^10 - 344*T1^10*T2^10 + 
     196*T1^11*T2^10 + 19*T1^12*T2^10 - 136*T1^5*T2^11 + 82*T1^6*T2^11 + 
     196*T1^7*T2^11 - 190*T1^8*T2^11 - 190*T1^9*T2^11 + 196*T1^10*T2^11 + 
     82*T1^11*T2^11 - 136*T1^12*T2^11 + 84*T1^6*T2^12 - 136*T1^7*T2^12 + 
     19*T1^8*T2^12 + 96*T1^9*T2^12 + 19*T1^10*T2^12 - 136*T1^11*T2^12 + 
     84*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 204] -> 
  {-(((1 - T + T^2)*(1 - 8*T + 13*T^2 - 8*T^3 + T^4))/T^3), 
   -((2 - 18*T1 + 44*T1^2 - 58*T1^3 + 44*T1^4 - 18*T1^5 + 2*T1^6 - 18*T2 + 
      144*T1*T2 - 234*T1^2*T2 + 126*T1^3*T2 + 126*T1^4*T2 - 234*T1^5*T2 + 
      144*T1^6*T2 - 18*T1^7*T2 + 44*T2^2 - 234*T1*T2^2 - 368*T1^2*T2^2 + 
      1657*T1^3*T2^2 - 2438*T1^4*T2^2 + 1657*T1^5*T2^2 - 368*T1^6*T2^2 - 
      234*T1^7*T2^2 + 44*T1^8*T2^2 - 58*T2^3 + 126*T1*T2^3 + 1657*T1^2*T2^3 - 
      3092*T1^3*T2^3 + 1777*T1^4*T2^3 + 1777*T1^5*T2^3 - 3092*T1^6*T2^3 + 
      1657*T1^7*T2^3 + 126*T1^8*T2^3 - 58*T1^9*T2^3 + 44*T2^4 + 126*T1*T2^4 - 
      2438*T1^2*T2^4 + 1777*T1^3*T2^4 + 2328*T1^4*T2^4 - 5456*T1^5*T2^4 + 
      2328*T1^6*T2^4 + 1777*T1^7*T2^4 - 2438*T1^8*T2^4 + 126*T1^9*T2^4 + 
      44*T1^10*T2^4 - 18*T2^5 - 234*T1*T2^5 + 1657*T1^2*T2^5 + 
      1777*T1^3*T2^5 - 5456*T1^4*T2^5 + 3644*T1^5*T2^5 + 3644*T1^6*T2^5 - 
      5456*T1^7*T2^5 + 1777*T1^8*T2^5 + 1657*T1^9*T2^5 - 234*T1^10*T2^5 - 
      18*T1^11*T2^5 + 2*T2^6 + 144*T1*T2^6 - 368*T1^2*T2^6 - 3092*T1^3*T2^6 + 
      2328*T1^4*T2^6 + 3644*T1^5*T2^6 - 8460*T1^6*T2^6 + 3644*T1^7*T2^6 + 
      2328*T1^8*T2^6 - 3092*T1^9*T2^6 - 368*T1^10*T2^6 + 144*T1^11*T2^6 + 
      2*T1^12*T2^6 - 18*T1*T2^7 - 234*T1^2*T2^7 + 1657*T1^3*T2^7 + 
      1777*T1^4*T2^7 - 5456*T1^5*T2^7 + 3644*T1^6*T2^7 + 3644*T1^7*T2^7 - 
      5456*T1^8*T2^7 + 1777*T1^9*T2^7 + 1657*T1^10*T2^7 - 234*T1^11*T2^7 - 
      18*T1^12*T2^7 + 44*T1^2*T2^8 + 126*T1^3*T2^8 - 2438*T1^4*T2^8 + 
      1777*T1^5*T2^8 + 2328*T1^6*T2^8 - 5456*T1^7*T2^8 + 2328*T1^8*T2^8 + 
      1777*T1^9*T2^8 - 2438*T1^10*T2^8 + 126*T1^11*T2^8 + 44*T1^12*T2^8 - 
      58*T1^3*T2^9 + 126*T1^4*T2^9 + 1657*T1^5*T2^9 - 3092*T1^6*T2^9 + 
      1777*T1^7*T2^9 + 1777*T1^8*T2^9 - 3092*T1^9*T2^9 + 1657*T1^10*T2^9 + 
      126*T1^11*T2^9 - 58*T1^12*T2^9 + 44*T1^4*T2^10 - 234*T1^5*T2^10 - 
      368*T1^6*T2^10 + 1657*T1^7*T2^10 - 2438*T1^8*T2^10 + 1657*T1^9*T2^10 - 
      368*T1^10*T2^10 - 234*T1^11*T2^10 + 44*T1^12*T2^10 - 18*T1^5*T2^11 + 
      144*T1^6*T2^11 - 234*T1^7*T2^11 + 126*T1^8*T2^11 + 126*T1^9*T2^11 - 
      234*T1^10*T2^11 + 144*T1^11*T2^11 - 18*T1^12*T2^11 + 2*T1^6*T2^12 - 
      18*T1^7*T2^12 + 44*T1^8*T2^12 - 58*T1^9*T2^12 + 44*T1^10*T2^12 - 
      18*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   (2 - 10*T1 + 22*T1^2 - 28*T1^3 + 30*T1^4 - 28*T1^5 + 22*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 60*T1^2*T2 + 30*T1^3*T2 - 10*T1^4*T2 - 
     10*T1^5*T2 + 30*T1^6*T2 - 60*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     22*T2^2 - 60*T1*T2^2 + 13*T1^2*T2^2 + 136*T1^3*T2^2 - 139*T1^4*T2^2 + 
     145*T1^5*T2^2 - 139*T1^6*T2^2 + 136*T1^7*T2^2 + 13*T1^8*T2^2 - 
     60*T1^9*T2^2 + 22*T1^10*T2^2 - 28*T2^3 + 30*T1*T2^3 + 136*T1^2*T2^3 - 
     310*T1^3*T2^3 + 85*T1^4*T2^3 - 31*T1^5*T2^3 - 31*T1^6*T2^3 + 
     85*T1^7*T2^3 - 310*T1^8*T2^3 + 136*T1^9*T2^3 + 30*T1^10*T2^3 - 
     28*T1^11*T2^3 + 30*T2^4 - 10*T1*T2^4 - 139*T1^2*T2^4 + 85*T1^3*T2^4 + 
     410*T1^4*T2^4 - 338*T1^5*T2^4 + 352*T1^6*T2^4 - 338*T1^7*T2^4 + 
     410*T1^8*T2^4 + 85*T1^9*T2^4 - 139*T1^10*T2^4 - 10*T1^11*T2^4 + 
     30*T1^12*T2^4 - 28*T2^5 - 10*T1*T2^5 + 145*T1^2*T2^5 - 31*T1^3*T2^5 - 
     338*T1^4*T2^5 - 22*T1^5*T2^5 - 10*T1^6*T2^5 - 10*T1^7*T2^5 - 
     22*T1^8*T2^5 - 338*T1^9*T2^5 - 31*T1^10*T2^5 + 145*T1^11*T2^5 - 
     10*T1^12*T2^5 - 28*T1^13*T2^5 + 22*T2^6 + 30*T1*T2^6 - 139*T1^2*T2^6 - 
     31*T1^3*T2^6 + 352*T1^4*T2^6 - 10*T1^5*T2^6 + 199*T1^6*T2^6 - 
     173*T1^7*T2^6 + 199*T1^8*T2^6 - 10*T1^9*T2^6 + 352*T1^10*T2^6 - 
     31*T1^11*T2^6 - 139*T1^12*T2^6 + 30*T1^13*T2^6 + 22*T1^14*T2^6 - 
     10*T2^7 - 60*T1*T2^7 + 136*T1^2*T2^7 + 85*T1^3*T2^7 - 338*T1^4*T2^7 - 
     10*T1^5*T2^7 - 173*T1^6*T2^7 + 22*T1^7*T2^7 + 22*T1^8*T2^7 - 
     173*T1^9*T2^7 - 10*T1^10*T2^7 - 338*T1^11*T2^7 + 85*T1^12*T2^7 + 
     136*T1^13*T2^7 - 60*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 + 
     13*T1^2*T2^8 - 310*T1^3*T2^8 + 410*T1^4*T2^8 - 22*T1^5*T2^8 + 
     199*T1^6*T2^8 + 22*T1^7*T2^8 - 12*T1^8*T2^8 + 22*T1^9*T2^8 + 
     199*T1^10*T2^8 - 22*T1^11*T2^8 + 410*T1^12*T2^8 - 310*T1^13*T2^8 + 
     13*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     60*T1^2*T2^9 + 136*T1^3*T2^9 + 85*T1^4*T2^9 - 338*T1^5*T2^9 - 
     10*T1^6*T2^9 - 173*T1^7*T2^9 + 22*T1^8*T2^9 + 22*T1^9*T2^9 - 
     173*T1^10*T2^9 - 10*T1^11*T2^9 - 338*T1^12*T2^9 + 85*T1^13*T2^9 + 
     136*T1^14*T2^9 - 60*T1^15*T2^9 - 10*T1^16*T2^9 + 22*T1^2*T2^10 + 
     30*T1^3*T2^10 - 139*T1^4*T2^10 - 31*T1^5*T2^10 + 352*T1^6*T2^10 - 
     10*T1^7*T2^10 + 199*T1^8*T2^10 - 173*T1^9*T2^10 + 199*T1^10*T2^10 - 
     10*T1^11*T2^10 + 352*T1^12*T2^10 - 31*T1^13*T2^10 - 139*T1^14*T2^10 + 
     30*T1^15*T2^10 + 22*T1^16*T2^10 - 28*T1^3*T2^11 - 10*T1^4*T2^11 + 
     145*T1^5*T2^11 - 31*T1^6*T2^11 - 338*T1^7*T2^11 - 22*T1^8*T2^11 - 
     10*T1^9*T2^11 - 10*T1^10*T2^11 - 22*T1^11*T2^11 - 338*T1^12*T2^11 - 
     31*T1^13*T2^11 + 145*T1^14*T2^11 - 10*T1^15*T2^11 - 28*T1^16*T2^11 + 
     30*T1^4*T2^12 - 10*T1^5*T2^12 - 139*T1^6*T2^12 + 85*T1^7*T2^12 + 
     410*T1^8*T2^12 - 338*T1^9*T2^12 + 352*T1^10*T2^12 - 338*T1^11*T2^12 + 
     410*T1^12*T2^12 + 85*T1^13*T2^12 - 139*T1^14*T2^12 - 10*T1^15*T2^12 + 
     30*T1^16*T2^12 - 28*T1^5*T2^13 + 30*T1^6*T2^13 + 136*T1^7*T2^13 - 
     310*T1^8*T2^13 + 85*T1^9*T2^13 - 31*T1^10*T2^13 - 31*T1^11*T2^13 + 
     85*T1^12*T2^13 - 310*T1^13*T2^13 + 136*T1^14*T2^13 + 30*T1^15*T2^13 - 
     28*T1^16*T2^13 + 22*T1^6*T2^14 - 60*T1^7*T2^14 + 13*T1^8*T2^14 + 
     136*T1^9*T2^14 - 139*T1^10*T2^14 + 145*T1^11*T2^14 - 139*T1^12*T2^14 + 
     136*T1^13*T2^14 + 13*T1^14*T2^14 - 60*T1^15*T2^14 + 22*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 60*T1^9*T2^15 + 30*T1^10*T2^15 - 
     10*T1^11*T2^15 - 10*T1^12*T2^15 + 30*T1^13*T2^15 - 60*T1^14*T2^15 + 
     40*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)/(T1^8*T2^8)}, 
 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), (1 - 5*T1 + 13*T1^2 - 24*T1^3 + 29*T1^4 - 24*T1^5 + 13*T1^6 - 
     5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 40*T1^2*T2 + 55*T1^3*T2 - 25*T1^4*T2 - 
     25*T1^5*T2 + 55*T1^6*T2 - 40*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
     13*T2^2 - 40*T1*T2^2 + 56*T1^2*T2^2 - 44*T1^3*T2^2 - 72*T1^4*T2^2 + 
     126*T1^5*T2^2 - 72*T1^6*T2^2 - 44*T1^7*T2^2 + 56*T1^8*T2^2 - 
     40*T1^9*T2^2 + 13*T1^10*T2^2 - 24*T2^3 + 55*T1*T2^3 - 44*T1^2*T2^3 - 
     18*T1^3*T2^3 + 219*T1^4*T2^3 - 114*T1^5*T2^3 - 114*T1^6*T2^3 + 
     219*T1^7*T2^3 - 18*T1^8*T2^3 - 44*T1^9*T2^3 + 55*T1^10*T2^3 - 
     24*T1^11*T2^3 + 29*T2^4 - 25*T1*T2^4 - 72*T1^2*T2^4 + 219*T1^3*T2^4 - 
     430*T1^4*T2^4 - T1^5*T2^4 + 240*T1^6*T2^4 - T1^7*T2^4 - 430*T1^8*T2^4 + 
     219*T1^9*T2^4 - 72*T1^10*T2^4 - 25*T1^11*T2^4 + 29*T1^12*T2^4 - 
     24*T2^5 - 25*T1*T2^5 + 126*T1^2*T2^5 - 114*T1^3*T2^5 - T1^4*T2^5 + 
     724*T1^5*T2^5 - 429*T1^6*T2^5 - 429*T1^7*T2^5 + 724*T1^8*T2^5 - 
     T1^9*T2^5 - 114*T1^10*T2^5 + 126*T1^11*T2^5 - 25*T1^12*T2^5 - 
     24*T1^13*T2^5 + 13*T2^6 + 55*T1*T2^6 - 72*T1^2*T2^6 - 114*T1^3*T2^6 + 
     240*T1^4*T2^6 - 429*T1^5*T2^6 - 826*T1^6*T2^6 + 1612*T1^7*T2^6 - 
     826*T1^8*T2^6 - 429*T1^9*T2^6 + 240*T1^10*T2^6 - 114*T1^11*T2^6 - 
     72*T1^12*T2^6 + 55*T1^13*T2^6 + 13*T1^14*T2^6 - 5*T2^7 - 40*T1*T2^7 - 
     44*T1^2*T2^7 + 219*T1^3*T2^7 - T1^4*T2^7 - 429*T1^5*T2^7 + 
     1612*T1^6*T2^7 - 958*T1^7*T2^7 - 958*T1^8*T2^7 + 1612*T1^9*T2^7 - 
     429*T1^10*T2^7 - T1^11*T2^7 + 219*T1^12*T2^7 - 44*T1^13*T2^7 - 
     40*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 56*T1^2*T2^8 - 
     18*T1^3*T2^8 - 430*T1^4*T2^8 + 724*T1^5*T2^8 - 826*T1^6*T2^8 - 
     958*T1^7*T2^8 + 2148*T1^8*T2^8 - 958*T1^9*T2^8 - 826*T1^10*T2^8 + 
     724*T1^11*T2^8 - 430*T1^12*T2^8 - 18*T1^13*T2^8 + 56*T1^14*T2^8 + 
     20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 40*T1^2*T2^9 - 44*T1^3*T2^9 + 
     219*T1^4*T2^9 - T1^5*T2^9 - 429*T1^6*T2^9 + 1612*T1^7*T2^9 - 
     958*T1^8*T2^9 - 958*T1^9*T2^9 + 1612*T1^10*T2^9 - 429*T1^11*T2^9 - 
     T1^12*T2^9 + 219*T1^13*T2^9 - 44*T1^14*T2^9 - 40*T1^15*T2^9 - 
     5*T1^16*T2^9 + 13*T1^2*T2^10 + 55*T1^3*T2^10 - 72*T1^4*T2^10 - 
     114*T1^5*T2^10 + 240*T1^6*T2^10 - 429*T1^7*T2^10 - 826*T1^8*T2^10 + 
     1612*T1^9*T2^10 - 826*T1^10*T2^10 - 429*T1^11*T2^10 + 240*T1^12*T2^10 - 
     114*T1^13*T2^10 - 72*T1^14*T2^10 + 55*T1^15*T2^10 + 13*T1^16*T2^10 - 
     24*T1^3*T2^11 - 25*T1^4*T2^11 + 126*T1^5*T2^11 - 114*T1^6*T2^11 - 
     T1^7*T2^11 + 724*T1^8*T2^11 - 429*T1^9*T2^11 - 429*T1^10*T2^11 + 
     724*T1^11*T2^11 - T1^12*T2^11 - 114*T1^13*T2^11 + 126*T1^14*T2^11 - 
     25*T1^15*T2^11 - 24*T1^16*T2^11 + 29*T1^4*T2^12 - 25*T1^5*T2^12 - 
     72*T1^6*T2^12 + 219*T1^7*T2^12 - 430*T1^8*T2^12 - T1^9*T2^12 + 
     240*T1^10*T2^12 - T1^11*T2^12 - 430*T1^12*T2^12 + 219*T1^13*T2^12 - 
     72*T1^14*T2^12 - 25*T1^15*T2^12 + 29*T1^16*T2^12 - 24*T1^5*T2^13 + 
     55*T1^6*T2^13 - 44*T1^7*T2^13 - 18*T1^8*T2^13 + 219*T1^9*T2^13 - 
     114*T1^10*T2^13 - 114*T1^11*T2^13 + 219*T1^12*T2^13 - 18*T1^13*T2^13 - 
     44*T1^14*T2^13 + 55*T1^15*T2^13 - 24*T1^16*T2^13 + 13*T1^6*T2^14 - 
     40*T1^7*T2^14 + 56*T1^8*T2^14 - 44*T1^9*T2^14 - 72*T1^10*T2^14 + 
     126*T1^11*T2^14 - 72*T1^12*T2^14 - 44*T1^13*T2^14 + 56*T1^14*T2^14 - 
     40*T1^15*T2^14 + 13*T1^16*T2^14 - 5*T1^7*T2^15 + 20*T1^8*T2^15 - 
     40*T1^9*T2^15 + 55*T1^10*T2^15 - 25*T1^11*T2^15 - 25*T1^12*T2^15 + 
     55*T1^13*T2^15 - 40*T1^14*T2^15 + 20*T1^15*T2^15 - 5*T1^16*T2^15 + 
     T1^8*T2^16 - 5*T1^9*T2^16 + 13*T1^10*T2^16 - 24*T1^11*T2^16 + 
     29*T1^12*T2^16 - 24*T1^13*T2^16 + 13*T1^14*T2^16 - 5*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, 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), 
   -((3 - 9*T1 - 3*T1^2 + 36*T1^3 - 57*T1^4 + 36*T1^5 - 3*T1^6 - 9*T1^7 + 
      3*T1^8 - 9*T2 + 18*T1*T2 + 36*T1^2*T2 - 99*T1^3*T2 + 63*T1^4*T2 + 
      63*T1^5*T2 - 99*T1^6*T2 + 36*T1^7*T2 + 18*T1^8*T2 - 9*T1^9*T2 - 
      3*T2^2 + 36*T1*T2^2 - 81*T1^2*T2^2 - 46*T1^3*T2^2 + 351*T1^4*T2^2 - 
      537*T1^5*T2^2 + 351*T1^6*T2^2 - 46*T1^7*T2^2 - 81*T1^8*T2^2 + 
      36*T1^9*T2^2 - 3*T1^10*T2^2 + 36*T2^3 - 99*T1*T2^3 - 46*T1^2*T2^3 + 
      384*T1^3*T2^3 - 575*T1^4*T2^3 + 267*T1^5*T2^3 + 267*T1^6*T2^3 - 
      575*T1^7*T2^3 + 384*T1^8*T2^3 - 46*T1^9*T2^3 - 99*T1^10*T2^3 + 
      36*T1^11*T2^3 - 57*T2^4 + 63*T1*T2^4 + 351*T1^2*T2^4 - 575*T1^3*T2^4 - 
      47*T1^4*T2^4 + 1349*T1^5*T2^4 - 1933*T1^6*T2^4 + 1349*T1^7*T2^4 - 
      47*T1^8*T2^4 - 575*T1^9*T2^4 + 351*T1^10*T2^4 + 63*T1^11*T2^4 - 
      57*T1^12*T2^4 + 36*T2^5 + 63*T1*T2^5 - 537*T1^2*T2^5 + 267*T1^3*T2^5 + 
      1349*T1^4*T2^5 - 2658*T1^5*T2^5 + 1384*T1^6*T2^5 + 1384*T1^7*T2^5 - 
      2658*T1^8*T2^5 + 1349*T1^9*T2^5 + 267*T1^10*T2^5 - 537*T1^11*T2^5 + 
      63*T1^12*T2^5 + 36*T1^13*T2^5 - 3*T2^6 - 99*T1*T2^6 + 351*T1^2*T2^6 + 
      267*T1^3*T2^6 - 1933*T1^4*T2^6 + 1384*T1^5*T2^6 + 2196*T1^6*T2^6 - 
      4690*T1^7*T2^6 + 2196*T1^8*T2^6 + 1384*T1^9*T2^6 - 1933*T1^10*T2^6 + 
      267*T1^11*T2^6 + 351*T1^12*T2^6 - 99*T1^13*T2^6 - 3*T1^14*T2^6 - 
      9*T2^7 + 36*T1*T2^7 - 46*T1^2*T2^7 - 575*T1^3*T2^7 + 1349*T1^4*T2^7 + 
      1384*T1^5*T2^7 - 4690*T1^6*T2^7 + 3152*T1^7*T2^7 + 3152*T1^8*T2^7 - 
      4690*T1^9*T2^7 + 1384*T1^10*T2^7 + 1349*T1^11*T2^7 - 575*T1^12*T2^7 - 
      46*T1^13*T2^7 + 36*T1^14*T2^7 - 9*T1^15*T2^7 + 3*T2^8 + 18*T1*T2^8 - 
      81*T1^2*T2^8 + 384*T1^3*T2^8 - 47*T1^4*T2^8 - 2658*T1^5*T2^8 + 
      2196*T1^6*T2^8 + 3152*T1^7*T2^8 - 7548*T1^8*T2^8 + 3152*T1^9*T2^8 + 
      2196*T1^10*T2^8 - 2658*T1^11*T2^8 - 47*T1^12*T2^8 + 384*T1^13*T2^8 - 
      81*T1^14*T2^8 + 18*T1^15*T2^8 + 3*T1^16*T2^8 - 9*T1*T2^9 + 
      36*T1^2*T2^9 - 46*T1^3*T2^9 - 575*T1^4*T2^9 + 1349*T1^5*T2^9 + 
      1384*T1^6*T2^9 - 4690*T1^7*T2^9 + 3152*T1^8*T2^9 + 3152*T1^9*T2^9 - 
      4690*T1^10*T2^9 + 1384*T1^11*T2^9 + 1349*T1^12*T2^9 - 575*T1^13*T2^9 - 
      46*T1^14*T2^9 + 36*T1^15*T2^9 - 9*T1^16*T2^9 - 3*T1^2*T2^10 - 
      99*T1^3*T2^10 + 351*T1^4*T2^10 + 267*T1^5*T2^10 - 1933*T1^6*T2^10 + 
      1384*T1^7*T2^10 + 2196*T1^8*T2^10 - 4690*T1^9*T2^10 + 
      2196*T1^10*T2^10 + 1384*T1^11*T2^10 - 1933*T1^12*T2^10 + 
      267*T1^13*T2^10 + 351*T1^14*T2^10 - 99*T1^15*T2^10 - 3*T1^16*T2^10 + 
      36*T1^3*T2^11 + 63*T1^4*T2^11 - 537*T1^5*T2^11 + 267*T1^6*T2^11 + 
      1349*T1^7*T2^11 - 2658*T1^8*T2^11 + 1384*T1^9*T2^11 + 
      1384*T1^10*T2^11 - 2658*T1^11*T2^11 + 1349*T1^12*T2^11 + 
      267*T1^13*T2^11 - 537*T1^14*T2^11 + 63*T1^15*T2^11 + 36*T1^16*T2^11 - 
      57*T1^4*T2^12 + 63*T1^5*T2^12 + 351*T1^6*T2^12 - 575*T1^7*T2^12 - 
      47*T1^8*T2^12 + 1349*T1^9*T2^12 - 1933*T1^10*T2^12 + 1349*T1^11*T2^12 - 
      47*T1^12*T2^12 - 575*T1^13*T2^12 + 351*T1^14*T2^12 + 63*T1^15*T2^12 - 
      57*T1^16*T2^12 + 36*T1^5*T2^13 - 99*T1^6*T2^13 - 46*T1^7*T2^13 + 
      384*T1^8*T2^13 - 575*T1^9*T2^13 + 267*T1^10*T2^13 + 267*T1^11*T2^13 - 
      575*T1^12*T2^13 + 384*T1^13*T2^13 - 46*T1^14*T2^13 - 99*T1^15*T2^13 + 
      36*T1^16*T2^13 - 3*T1^6*T2^14 + 36*T1^7*T2^14 - 81*T1^8*T2^14 - 
      46*T1^9*T2^14 + 351*T1^10*T2^14 - 537*T1^11*T2^14 + 351*T1^12*T2^14 - 
      46*T1^13*T2^14 - 81*T1^14*T2^14 + 36*T1^15*T2^14 - 3*T1^16*T2^14 - 
      9*T1^7*T2^15 + 18*T1^8*T2^15 + 36*T1^9*T2^15 - 99*T1^10*T2^15 + 
      63*T1^11*T2^15 + 63*T1^12*T2^15 - 99*T1^13*T2^15 + 36*T1^14*T2^15 + 
      18*T1^15*T2^15 - 9*T1^16*T2^15 + 3*T1^8*T2^16 - 9*T1^9*T2^16 - 
      3*T1^10*T2^16 + 36*T1^11*T2^16 - 57*T1^12*T2^16 + 36*T1^13*T2^16 - 
      3*T1^14*T2^16 - 9*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 208] -> 
  {(3 - 11*T + 23*T^2 - 29*T^3 + 23*T^4 - 11*T^5 + 3*T^6)/T^3, 
   -((30 - 109*T1 + 232*T1^2 - 294*T1^3 + 232*T1^4 - 109*T1^5 + 30*T1^6 - 
      109*T2 + 282*T1*T2 - 433*T1^2*T2 + 217*T1^3*T2 + 217*T1^4*T2 - 
      433*T1^5*T2 + 282*T1^6*T2 - 109*T1^7*T2 + 232*T2^2 - 433*T1*T2^2 + 
      647*T1^2*T2^2 - 311*T1^3*T2^2 + 85*T1^4*T2^2 - 311*T1^5*T2^2 + 
      647*T1^6*T2^2 - 433*T1^7*T2^2 + 232*T1^8*T2^2 - 294*T2^3 + 
      217*T1*T2^3 - 311*T1^2*T2^3 - 324*T1^3*T2^3 + 215*T1^4*T2^3 + 
      215*T1^5*T2^3 - 324*T1^6*T2^3 - 311*T1^7*T2^3 + 217*T1^8*T2^3 - 
      294*T1^9*T2^3 + 232*T2^4 + 217*T1*T2^4 + 85*T1^2*T2^4 + 215*T1^3*T2^4 + 
      1078*T1^4*T2^4 - 1642*T1^5*T2^4 + 1078*T1^6*T2^4 + 215*T1^7*T2^4 + 
      85*T1^8*T2^4 + 217*T1^9*T2^4 + 232*T1^10*T2^4 - 109*T2^5 - 
      433*T1*T2^5 - 311*T1^2*T2^5 + 215*T1^3*T2^5 - 1642*T1^4*T2^5 + 
      760*T1^5*T2^5 + 760*T1^6*T2^5 - 1642*T1^7*T2^5 + 215*T1^8*T2^5 - 
      311*T1^9*T2^5 - 433*T1^10*T2^5 - 109*T1^11*T2^5 + 30*T2^6 + 
      282*T1*T2^6 + 647*T1^2*T2^6 - 324*T1^3*T2^6 + 1078*T1^4*T2^6 + 
      760*T1^5*T2^6 - 1464*T1^6*T2^6 + 760*T1^7*T2^6 + 1078*T1^8*T2^6 - 
      324*T1^9*T2^6 + 647*T1^10*T2^6 + 282*T1^11*T2^6 + 30*T1^12*T2^6 - 
      109*T1*T2^7 - 433*T1^2*T2^7 - 311*T1^3*T2^7 + 215*T1^4*T2^7 - 
      1642*T1^5*T2^7 + 760*T1^6*T2^7 + 760*T1^7*T2^7 - 1642*T1^8*T2^7 + 
      215*T1^9*T2^7 - 311*T1^10*T2^7 - 433*T1^11*T2^7 - 109*T1^12*T2^7 + 
      232*T1^2*T2^8 + 217*T1^3*T2^8 + 85*T1^4*T2^8 + 215*T1^5*T2^8 + 
      1078*T1^6*T2^8 - 1642*T1^7*T2^8 + 1078*T1^8*T2^8 + 215*T1^9*T2^8 + 
      85*T1^10*T2^8 + 217*T1^11*T2^8 + 232*T1^12*T2^8 - 294*T1^3*T2^9 + 
      217*T1^4*T2^9 - 311*T1^5*T2^9 - 324*T1^6*T2^9 + 215*T1^7*T2^9 + 
      215*T1^8*T2^9 - 324*T1^9*T2^9 - 311*T1^10*T2^9 + 217*T1^11*T2^9 - 
      294*T1^12*T2^9 + 232*T1^4*T2^10 - 433*T1^5*T2^10 + 647*T1^6*T2^10 - 
      311*T1^7*T2^10 + 85*T1^8*T2^10 - 311*T1^9*T2^10 + 647*T1^10*T2^10 - 
      433*T1^11*T2^10 + 232*T1^12*T2^10 - 109*T1^5*T2^11 + 282*T1^6*T2^11 - 
      433*T1^7*T2^11 + 217*T1^8*T2^11 + 217*T1^9*T2^11 - 433*T1^10*T2^11 + 
      282*T1^11*T2^11 - 109*T1^12*T2^11 + 30*T1^6*T2^12 - 109*T1^7*T2^12 + 
      232*T1^8*T2^12 - 294*T1^9*T2^12 + 232*T1^10*T2^12 - 109*T1^11*T2^12 + 
      30*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 209] -> 
  {-((3 - 15*T + 31*T^2 - 39*T^3 + 31*T^4 - 15*T^5 + 3*T^6)/T^3), 
   -((57 - 282*T1 + 578*T1^2 - 727*T1^3 + 578*T1^4 - 282*T1^5 + 57*T1^6 - 
      282*T2 + 1110*T1*T2 - 1442*T1^2*T2 + 722*T1^3*T2 + 722*T1^4*T2 - 
      1442*T1^5*T2 + 1110*T1^6*T2 - 282*T1^7*T2 + 578*T2^2 - 1442*T1*T2^2 - 
      614*T1^2*T2^2 + 4148*T1^3*T2^2 - 6312*T1^4*T2^2 + 4148*T1^5*T2^2 - 
      614*T1^6*T2^2 - 1442*T1^7*T2^2 + 578*T1^8*T2^2 - 727*T2^3 + 
      722*T1*T2^3 + 4148*T1^2*T2^3 - 6616*T1^3*T2^3 + 3811*T1^4*T2^3 + 
      3811*T1^5*T2^3 - 6616*T1^6*T2^3 + 4148*T1^7*T2^3 + 722*T1^8*T2^3 - 
      727*T1^9*T2^3 + 578*T2^4 + 722*T1*T2^4 - 6312*T1^2*T2^4 + 
      3811*T1^3*T2^4 + 2783*T1^4*T2^4 - 8339*T1^5*T2^4 + 2783*T1^6*T2^4 + 
      3811*T1^7*T2^4 - 6312*T1^8*T2^4 + 722*T1^9*T2^4 + 578*T1^10*T2^4 - 
      282*T2^5 - 1442*T1*T2^5 + 4148*T1^2*T2^5 + 3811*T1^3*T2^5 - 
      8339*T1^4*T2^5 + 5864*T1^5*T2^5 + 5864*T1^6*T2^5 - 8339*T1^7*T2^5 + 
      3811*T1^8*T2^5 + 4148*T1^9*T2^5 - 1442*T1^10*T2^5 - 282*T1^11*T2^5 + 
      57*T2^6 + 1110*T1*T2^6 - 614*T1^2*T2^6 - 6616*T1^3*T2^6 + 
      2783*T1^4*T2^6 + 5864*T1^5*T2^6 - 13656*T1^6*T2^6 + 5864*T1^7*T2^6 + 
      2783*T1^8*T2^6 - 6616*T1^9*T2^6 - 614*T1^10*T2^6 + 1110*T1^11*T2^6 + 
      57*T1^12*T2^6 - 282*T1*T2^7 - 1442*T1^2*T2^7 + 4148*T1^3*T2^7 + 
      3811*T1^4*T2^7 - 8339*T1^5*T2^7 + 5864*T1^6*T2^7 + 5864*T1^7*T2^7 - 
      8339*T1^8*T2^7 + 3811*T1^9*T2^7 + 4148*T1^10*T2^7 - 1442*T1^11*T2^7 - 
      282*T1^12*T2^7 + 578*T1^2*T2^8 + 722*T1^3*T2^8 - 6312*T1^4*T2^8 + 
      3811*T1^5*T2^8 + 2783*T1^6*T2^8 - 8339*T1^7*T2^8 + 2783*T1^8*T2^8 + 
      3811*T1^9*T2^8 - 6312*T1^10*T2^8 + 722*T1^11*T2^8 + 578*T1^12*T2^8 - 
      727*T1^3*T2^9 + 722*T1^4*T2^9 + 4148*T1^5*T2^9 - 6616*T1^6*T2^9 + 
      3811*T1^7*T2^9 + 3811*T1^8*T2^9 - 6616*T1^9*T2^9 + 4148*T1^10*T2^9 + 
      722*T1^11*T2^9 - 727*T1^12*T2^9 + 578*T1^4*T2^10 - 1442*T1^5*T2^10 - 
      614*T1^6*T2^10 + 4148*T1^7*T2^10 - 6312*T1^8*T2^10 + 4148*T1^9*T2^10 - 
      614*T1^10*T2^10 - 1442*T1^11*T2^10 + 578*T1^12*T2^10 - 282*T1^5*T2^11 + 
      1110*T1^6*T2^11 - 1442*T1^7*T2^11 + 722*T1^8*T2^11 + 722*T1^9*T2^11 - 
      1442*T1^10*T2^11 + 1110*T1^11*T2^11 - 282*T1^12*T2^11 + 57*T1^6*T2^12 - 
      282*T1^7*T2^12 + 578*T1^8*T2^12 - 727*T1^9*T2^12 + 578*T1^10*T2^12 - 
      282*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 210] -> {((1 - T + T^3)*(1 - T^2 + T^3))/T^3, 
   (-3*(1 - T1 + T1^3 - T1^5 + T1^6 - T2 - 4*T1*T2 + 7*T1^2*T2 - 4*T1^3*T2 - 
      4*T1^4*T2 + 7*T1^5*T2 - 4*T1^6*T2 - T1^7*T2 + 7*T1*T2^2 - 4*T1^2*T2^2 - 
      4*T1^3*T2^2 + 8*T1^4*T2^2 - 4*T1^5*T2^2 - 4*T1^6*T2^2 + 7*T1^7*T2^2 + 
      T2^3 - 4*T1*T2^3 - 4*T1^2*T2^3 + 10*T1^3*T2^3 - 4*T1^4*T2^3 - 
      4*T1^5*T2^3 + 10*T1^6*T2^3 - 4*T1^7*T2^3 - 4*T1^8*T2^3 + T1^9*T2^3 - 
      4*T1*T2^4 + 8*T1^2*T2^4 - 4*T1^3*T2^4 - 10*T1^4*T2^4 + 16*T1^5*T2^4 - 
      10*T1^6*T2^4 - 4*T1^7*T2^4 + 8*T1^8*T2^4 - 4*T1^9*T2^4 - T2^5 + 
      7*T1*T2^5 - 4*T1^2*T2^5 - 4*T1^3*T2^5 + 16*T1^4*T2^5 - 12*T1^5*T2^5 - 
      12*T1^6*T2^5 + 16*T1^7*T2^5 - 4*T1^8*T2^5 - 4*T1^9*T2^5 + 
      7*T1^10*T2^5 - T1^11*T2^5 + T2^6 - 4*T1*T2^6 - 4*T1^2*T2^6 + 
      10*T1^3*T2^6 - 10*T1^4*T2^6 - 12*T1^5*T2^6 + 36*T1^6*T2^6 - 
      12*T1^7*T2^6 - 10*T1^8*T2^6 + 10*T1^9*T2^6 - 4*T1^10*T2^6 - 
      4*T1^11*T2^6 + T1^12*T2^6 - T1*T2^7 + 7*T1^2*T2^7 - 4*T1^3*T2^7 - 
      4*T1^4*T2^7 + 16*T1^5*T2^7 - 12*T1^6*T2^7 - 12*T1^7*T2^7 + 
      16*T1^8*T2^7 - 4*T1^9*T2^7 - 4*T1^10*T2^7 + 7*T1^11*T2^7 - T1^12*T2^7 - 
      4*T1^3*T2^8 + 8*T1^4*T2^8 - 4*T1^5*T2^8 - 10*T1^6*T2^8 + 16*T1^7*T2^8 - 
      10*T1^8*T2^8 - 4*T1^9*T2^8 + 8*T1^10*T2^8 - 4*T1^11*T2^8 + T1^3*T2^9 - 
      4*T1^4*T2^9 - 4*T1^5*T2^9 + 10*T1^6*T2^9 - 4*T1^7*T2^9 - 4*T1^8*T2^9 + 
      10*T1^9*T2^9 - 4*T1^10*T2^9 - 4*T1^11*T2^9 + T1^12*T2^9 + 
      7*T1^5*T2^10 - 4*T1^6*T2^10 - 4*T1^7*T2^10 + 8*T1^8*T2^10 - 
      4*T1^9*T2^10 - 4*T1^10*T2^10 + 7*T1^11*T2^10 - T1^5*T2^11 - 
      4*T1^6*T2^11 + 7*T1^7*T2^11 - 4*T1^8*T2^11 - 4*T1^9*T2^11 + 
      7*T1^10*T2^11 - 4*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))/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 211] -> 
  {(1 - 6*T + 12*T^2 - 13*T^3 + 12*T^4 - 6*T^5 + T^6)/T^3, 
   (1 - 6*T1 + 12*T1^2 - 13*T1^3 + 12*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     30*T1*T2 - 36*T1^2*T2 + 6*T1^3*T2 + 6*T1^4*T2 - 36*T1^5*T2 + 
     30*T1^6*T2 - 6*T1^7*T2 + 12*T2^2 - 36*T1*T2^2 - 61*T1^2*T2^2 + 
     218*T1^3*T2^2 - 211*T1^4*T2^2 + 218*T1^5*T2^2 - 61*T1^6*T2^2 - 
     36*T1^7*T2^2 + 12*T1^8*T2^2 - 13*T2^3 + 6*T1*T2^3 + 218*T1^2*T2^3 - 
     354*T1^3*T2^3 + 82*T1^4*T2^3 + 82*T1^5*T2^3 - 354*T1^6*T2^3 + 
     218*T1^7*T2^3 + 6*T1^8*T2^3 - 13*T1^9*T2^3 + 12*T2^4 + 6*T1*T2^4 - 
     211*T1^2*T2^4 + 82*T1^3*T2^4 + 538*T1^4*T2^4 - 726*T1^5*T2^4 + 
     538*T1^6*T2^4 + 82*T1^7*T2^4 - 211*T1^8*T2^4 + 6*T1^9*T2^4 + 
     12*T1^10*T2^4 - 6*T2^5 - 36*T1*T2^5 + 218*T1^2*T2^5 + 82*T1^3*T2^5 - 
     726*T1^4*T2^5 + 450*T1^5*T2^5 + 450*T1^6*T2^5 - 726*T1^7*T2^5 + 
     82*T1^8*T2^5 + 218*T1^9*T2^5 - 36*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     30*T1*T2^6 - 61*T1^2*T2^6 - 354*T1^3*T2^6 + 538*T1^4*T2^6 + 
     450*T1^5*T2^6 - 1236*T1^6*T2^6 + 450*T1^7*T2^6 + 538*T1^8*T2^6 - 
     354*T1^9*T2^6 - 61*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
     36*T1^2*T2^7 + 218*T1^3*T2^7 + 82*T1^4*T2^7 - 726*T1^5*T2^7 + 
     450*T1^6*T2^7 + 450*T1^7*T2^7 - 726*T1^8*T2^7 + 82*T1^9*T2^7 + 
     218*T1^10*T2^7 - 36*T1^11*T2^7 - 6*T1^12*T2^7 + 12*T1^2*T2^8 + 
     6*T1^3*T2^8 - 211*T1^4*T2^8 + 82*T1^5*T2^8 + 538*T1^6*T2^8 - 
     726*T1^7*T2^8 + 538*T1^8*T2^8 + 82*T1^9*T2^8 - 211*T1^10*T2^8 + 
     6*T1^11*T2^8 + 12*T1^12*T2^8 - 13*T1^3*T2^9 + 6*T1^4*T2^9 + 
     218*T1^5*T2^9 - 354*T1^6*T2^9 + 82*T1^7*T2^9 + 82*T1^8*T2^9 - 
     354*T1^9*T2^9 + 218*T1^10*T2^9 + 6*T1^11*T2^9 - 13*T1^12*T2^9 + 
     12*T1^4*T2^10 - 36*T1^5*T2^10 - 61*T1^6*T2^10 + 218*T1^7*T2^10 - 
     211*T1^8*T2^10 + 218*T1^9*T2^10 - 61*T1^10*T2^10 - 36*T1^11*T2^10 + 
     12*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 36*T1^7*T2^11 + 
     6*T1^8*T2^11 + 6*T1^9*T2^11 - 36*T1^10*T2^11 + 30*T1^11*T2^11 - 
     6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 12*T1^8*T2^12 - 
     13*T1^9*T2^12 + 12*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 212] -> 
  {(3 - 11*T + 23*T^2 - 29*T^3 + 23*T^4 - 11*T^5 + 3*T^6)/T^3, 
   -((30 - 109*T1 + 229*T1^2 - 288*T1^3 + 229*T1^4 - 109*T1^5 + 30*T1^6 - 
      109*T2 + 288*T1*T2 - 439*T1^2*T2 + 217*T1^3*T2 + 217*T1^4*T2 - 
      439*T1^5*T2 + 288*T1^6*T2 - 109*T1^7*T2 + 229*T2^2 - 439*T1*T2^2 + 
      653*T1^2*T2^2 - 311*T1^3*T2^2 + 91*T1^4*T2^2 - 311*T1^5*T2^2 + 
      653*T1^6*T2^2 - 439*T1^7*T2^2 + 229*T1^8*T2^2 - 288*T2^3 + 
      217*T1*T2^3 - 311*T1^2*T2^3 - 324*T1^3*T2^3 + 209*T1^4*T2^3 + 
      209*T1^5*T2^3 - 324*T1^6*T2^3 - 311*T1^7*T2^3 + 217*T1^8*T2^3 - 
      288*T1^9*T2^3 + 229*T2^4 + 217*T1*T2^4 + 91*T1^2*T2^4 + 209*T1^3*T2^4 + 
      1078*T1^4*T2^4 - 1636*T1^5*T2^4 + 1078*T1^6*T2^4 + 209*T1^7*T2^4 + 
      91*T1^8*T2^4 + 217*T1^9*T2^4 + 229*T1^10*T2^4 - 109*T2^5 - 
      439*T1*T2^5 - 311*T1^2*T2^5 + 209*T1^3*T2^5 - 1636*T1^4*T2^5 + 
      766*T1^5*T2^5 + 766*T1^6*T2^5 - 1636*T1^7*T2^5 + 209*T1^8*T2^5 - 
      311*T1^9*T2^5 - 439*T1^10*T2^5 - 109*T1^11*T2^5 + 30*T2^6 + 
      288*T1*T2^6 + 653*T1^2*T2^6 - 324*T1^3*T2^6 + 1078*T1^4*T2^6 + 
      766*T1^5*T2^6 - 1500*T1^6*T2^6 + 766*T1^7*T2^6 + 1078*T1^8*T2^6 - 
      324*T1^9*T2^6 + 653*T1^10*T2^6 + 288*T1^11*T2^6 + 30*T1^12*T2^6 - 
      109*T1*T2^7 - 439*T1^2*T2^7 - 311*T1^3*T2^7 + 209*T1^4*T2^7 - 
      1636*T1^5*T2^7 + 766*T1^6*T2^7 + 766*T1^7*T2^7 - 1636*T1^8*T2^7 + 
      209*T1^9*T2^7 - 311*T1^10*T2^7 - 439*T1^11*T2^7 - 109*T1^12*T2^7 + 
      229*T1^2*T2^8 + 217*T1^3*T2^8 + 91*T1^4*T2^8 + 209*T1^5*T2^8 + 
      1078*T1^6*T2^8 - 1636*T1^7*T2^8 + 1078*T1^8*T2^8 + 209*T1^9*T2^8 + 
      91*T1^10*T2^8 + 217*T1^11*T2^8 + 229*T1^12*T2^8 - 288*T1^3*T2^9 + 
      217*T1^4*T2^9 - 311*T1^5*T2^9 - 324*T1^6*T2^9 + 209*T1^7*T2^9 + 
      209*T1^8*T2^9 - 324*T1^9*T2^9 - 311*T1^10*T2^9 + 217*T1^11*T2^9 - 
      288*T1^12*T2^9 + 229*T1^4*T2^10 - 439*T1^5*T2^10 + 653*T1^6*T2^10 - 
      311*T1^7*T2^10 + 91*T1^8*T2^10 - 311*T1^9*T2^10 + 653*T1^10*T2^10 - 
      439*T1^11*T2^10 + 229*T1^12*T2^10 - 109*T1^5*T2^11 + 288*T1^6*T2^11 - 
      439*T1^7*T2^11 + 217*T1^8*T2^11 + 217*T1^9*T2^11 - 439*T1^10*T2^11 + 
      288*T1^11*T2^11 - 109*T1^12*T2^11 + 30*T1^6*T2^12 - 109*T1^7*T2^12 + 
      229*T1^8*T2^12 - 288*T1^9*T2^12 + 229*T1^10*T2^12 - 109*T1^11*T2^12 + 
      30*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 213] -> 
  {-((3 - 15*T + 31*T^2 - 39*T^3 + 31*T^4 - 15*T^5 + 3*T^6)/T^3), 
   -((57 - 282*T1 + 575*T1^2 - 721*T1^3 + 575*T1^4 - 282*T1^5 + 57*T1^6 - 
      282*T2 + 1116*T1*T2 - 1448*T1^2*T2 + 722*T1^3*T2 + 722*T1^4*T2 - 
      1448*T1^5*T2 + 1116*T1^6*T2 - 282*T1^7*T2 + 575*T2^2 - 1448*T1*T2^2 - 
      608*T1^2*T2^2 + 4148*T1^3*T2^2 - 6306*T1^4*T2^2 + 4148*T1^5*T2^2 - 
      608*T1^6*T2^2 - 1448*T1^7*T2^2 + 575*T1^8*T2^2 - 721*T2^3 + 
      722*T1*T2^3 + 4148*T1^2*T2^3 - 6616*T1^3*T2^3 + 3805*T1^4*T2^3 + 
      3805*T1^5*T2^3 - 6616*T1^6*T2^3 + 4148*T1^7*T2^3 + 722*T1^8*T2^3 - 
      721*T1^9*T2^3 + 575*T2^4 + 722*T1*T2^4 - 6306*T1^2*T2^4 + 
      3805*T1^3*T2^4 + 2783*T1^4*T2^4 - 8333*T1^5*T2^4 + 2783*T1^6*T2^4 + 
      3805*T1^7*T2^4 - 6306*T1^8*T2^4 + 722*T1^9*T2^4 + 575*T1^10*T2^4 - 
      282*T2^5 - 1448*T1*T2^5 + 4148*T1^2*T2^5 + 3805*T1^3*T2^5 - 
      8333*T1^4*T2^5 + 5870*T1^5*T2^5 + 5870*T1^6*T2^5 - 8333*T1^7*T2^5 + 
      3805*T1^8*T2^5 + 4148*T1^9*T2^5 - 1448*T1^10*T2^5 - 282*T1^11*T2^5 + 
      57*T2^6 + 1116*T1*T2^6 - 608*T1^2*T2^6 - 6616*T1^3*T2^6 + 
      2783*T1^4*T2^6 + 5870*T1^5*T2^6 - 13692*T1^6*T2^6 + 5870*T1^7*T2^6 + 
      2783*T1^8*T2^6 - 6616*T1^9*T2^6 - 608*T1^10*T2^6 + 1116*T1^11*T2^6 + 
      57*T1^12*T2^6 - 282*T1*T2^7 - 1448*T1^2*T2^7 + 4148*T1^3*T2^7 + 
      3805*T1^4*T2^7 - 8333*T1^5*T2^7 + 5870*T1^6*T2^7 + 5870*T1^7*T2^7 - 
      8333*T1^8*T2^7 + 3805*T1^9*T2^7 + 4148*T1^10*T2^7 - 1448*T1^11*T2^7 - 
      282*T1^12*T2^7 + 575*T1^2*T2^8 + 722*T1^3*T2^8 - 6306*T1^4*T2^8 + 
      3805*T1^5*T2^8 + 2783*T1^6*T2^8 - 8333*T1^7*T2^8 + 2783*T1^8*T2^8 + 
      3805*T1^9*T2^8 - 6306*T1^10*T2^8 + 722*T1^11*T2^8 + 575*T1^12*T2^8 - 
      721*T1^3*T2^9 + 722*T1^4*T2^9 + 4148*T1^5*T2^9 - 6616*T1^6*T2^9 + 
      3805*T1^7*T2^9 + 3805*T1^8*T2^9 - 6616*T1^9*T2^9 + 4148*T1^10*T2^9 + 
      722*T1^11*T2^9 - 721*T1^12*T2^9 + 575*T1^4*T2^10 - 1448*T1^5*T2^10 - 
      608*T1^6*T2^10 + 4148*T1^7*T2^10 - 6306*T1^8*T2^10 + 4148*T1^9*T2^10 - 
      608*T1^10*T2^10 - 1448*T1^11*T2^10 + 575*T1^12*T2^10 - 282*T1^5*T2^11 + 
      1116*T1^6*T2^11 - 1448*T1^7*T2^11 + 722*T1^8*T2^11 + 722*T1^9*T2^11 - 
      1448*T1^10*T2^11 + 1116*T1^11*T2^11 - 282*T1^12*T2^11 + 57*T1^6*T2^12 - 
      282*T1^7*T2^12 + 575*T1^8*T2^12 - 721*T1^9*T2^12 + 575*T1^10*T2^12 - 
      282*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 214] -> {((1 - T + T^3)*(1 - T^2 + T^3))/T^3, 
   (-3*(1 - T1 - T1^2 + 3*T1^3 - T1^4 - T1^5 + T1^6 - T2 - 2*T1*T2 + 
      5*T1^2*T2 - 4*T1^3*T2 - 4*T1^4*T2 + 5*T1^5*T2 - 2*T1^6*T2 - T1^7*T2 - 
      T2^2 + 5*T1*T2^2 - 2*T1^2*T2^2 - 4*T1^3*T2^2 + 10*T1^4*T2^2 - 
      4*T1^5*T2^2 - 2*T1^6*T2^2 + 5*T1^7*T2^2 - T1^8*T2^2 + 3*T2^3 - 
      4*T1*T2^3 - 4*T1^2*T2^3 + 10*T1^3*T2^3 - 6*T1^4*T2^3 - 6*T1^5*T2^3 + 
      10*T1^6*T2^3 - 4*T1^7*T2^3 - 4*T1^8*T2^3 + 3*T1^9*T2^3 - T2^4 - 
      4*T1*T2^4 + 10*T1^2*T2^4 - 6*T1^3*T2^4 - 10*T1^4*T2^4 + 18*T1^5*T2^4 - 
      10*T1^6*T2^4 - 6*T1^7*T2^4 + 10*T1^8*T2^4 - 4*T1^9*T2^4 - T1^10*T2^4 - 
      T2^5 + 5*T1*T2^5 - 4*T1^2*T2^5 - 6*T1^3*T2^5 + 18*T1^4*T2^5 - 
      10*T1^5*T2^5 - 10*T1^6*T2^5 + 18*T1^7*T2^5 - 6*T1^8*T2^5 - 
      4*T1^9*T2^5 + 5*T1^10*T2^5 - T1^11*T2^5 + T2^6 - 2*T1*T2^6 - 
      2*T1^2*T2^6 + 10*T1^3*T2^6 - 10*T1^4*T2^6 - 10*T1^5*T2^6 + 
      24*T1^6*T2^6 - 10*T1^7*T2^6 - 10*T1^8*T2^6 + 10*T1^9*T2^6 - 
      2*T1^10*T2^6 - 2*T1^11*T2^6 + T1^12*T2^6 - T1*T2^7 + 5*T1^2*T2^7 - 
      4*T1^3*T2^7 - 6*T1^4*T2^7 + 18*T1^5*T2^7 - 10*T1^6*T2^7 - 
      10*T1^7*T2^7 + 18*T1^8*T2^7 - 6*T1^9*T2^7 - 4*T1^10*T2^7 + 
      5*T1^11*T2^7 - T1^12*T2^7 - T1^2*T2^8 - 4*T1^3*T2^8 + 10*T1^4*T2^8 - 
      6*T1^5*T2^8 - 10*T1^6*T2^8 + 18*T1^7*T2^8 - 10*T1^8*T2^8 - 
      6*T1^9*T2^8 + 10*T1^10*T2^8 - 4*T1^11*T2^8 - T1^12*T2^8 + 3*T1^3*T2^9 - 
      4*T1^4*T2^9 - 4*T1^5*T2^9 + 10*T1^6*T2^9 - 6*T1^7*T2^9 - 6*T1^8*T2^9 + 
      10*T1^9*T2^9 - 4*T1^10*T2^9 - 4*T1^11*T2^9 + 3*T1^12*T2^9 - 
      T1^4*T2^10 + 5*T1^5*T2^10 - 2*T1^6*T2^10 - 4*T1^7*T2^10 + 
      10*T1^8*T2^10 - 4*T1^9*T2^10 - 2*T1^10*T2^10 + 5*T1^11*T2^10 - 
      T1^12*T2^10 - T1^5*T2^11 - 2*T1^6*T2^11 + 5*T1^7*T2^11 - 4*T1^8*T2^11 - 
      4*T1^9*T2^11 + 5*T1^10*T2^11 - 2*T1^11*T2^11 - T1^12*T2^11 + 
      T1^6*T2^12 - T1^7*T2^12 - T1^8*T2^12 + 3*T1^9*T2^12 - T1^10*T2^12 - 
      T1^11*T2^12 + T1^12*T2^12))/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 215] -> 
  {-((2 - 8*T + 13*T^2 - 15*T^3 + 13*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((17 - 68*T1 + 110*T1^2 - 127*T1^3 + 110*T1^4 - 68*T1^5 + 17*T1^6 - 
      68*T2 + 204*T1*T2 - 168*T1^2*T2 + 68*T1^3*T2 + 68*T1^4*T2 - 
      168*T1^5*T2 + 204*T1^6*T2 - 68*T1^7*T2 + 110*T2^2 - 168*T1*T2^2 - 
      264*T1^2*T2^2 + 513*T1^3*T2^2 - 628*T1^4*T2^2 + 513*T1^5*T2^2 - 
      264*T1^6*T2^2 - 168*T1^7*T2^2 + 110*T1^8*T2^2 - 127*T2^3 + 68*T1*T2^3 + 
      513*T1^2*T2^3 - 364*T1^3*T2^3 + 169*T1^4*T2^3 + 169*T1^5*T2^3 - 
      364*T1^6*T2^3 + 513*T1^7*T2^3 + 68*T1^8*T2^3 - 127*T1^9*T2^3 + 
      110*T2^4 + 68*T1*T2^4 - 628*T1^2*T2^4 + 169*T1^3*T2^4 - 66*T1^4*T2^4 - 
      106*T1^5*T2^4 - 66*T1^6*T2^4 + 169*T1^7*T2^4 - 628*T1^8*T2^4 + 
      68*T1^9*T2^4 + 110*T1^10*T2^4 - 68*T2^5 - 168*T1*T2^5 + 513*T1^2*T2^5 + 
      169*T1^3*T2^5 - 106*T1^4*T2^5 + 158*T1^5*T2^5 + 158*T1^6*T2^5 - 
      106*T1^7*T2^5 + 169*T1^8*T2^5 + 513*T1^9*T2^5 - 168*T1^10*T2^5 - 
      68*T1^11*T2^5 + 17*T2^6 + 204*T1*T2^6 - 264*T1^2*T2^6 - 364*T1^3*T2^6 - 
      66*T1^4*T2^6 + 158*T1^5*T2^6 - 432*T1^6*T2^6 + 158*T1^7*T2^6 - 
      66*T1^8*T2^6 - 364*T1^9*T2^6 - 264*T1^10*T2^6 + 204*T1^11*T2^6 + 
      17*T1^12*T2^6 - 68*T1*T2^7 - 168*T1^2*T2^7 + 513*T1^3*T2^7 + 
      169*T1^4*T2^7 - 106*T1^5*T2^7 + 158*T1^6*T2^7 + 158*T1^7*T2^7 - 
      106*T1^8*T2^7 + 169*T1^9*T2^7 + 513*T1^10*T2^7 - 168*T1^11*T2^7 - 
      68*T1^12*T2^7 + 110*T1^2*T2^8 + 68*T1^3*T2^8 - 628*T1^4*T2^8 + 
      169*T1^5*T2^8 - 66*T1^6*T2^8 - 106*T1^7*T2^8 - 66*T1^8*T2^8 + 
      169*T1^9*T2^8 - 628*T1^10*T2^8 + 68*T1^11*T2^8 + 110*T1^12*T2^8 - 
      127*T1^3*T2^9 + 68*T1^4*T2^9 + 513*T1^5*T2^9 - 364*T1^6*T2^9 + 
      169*T1^7*T2^9 + 169*T1^8*T2^9 - 364*T1^9*T2^9 + 513*T1^10*T2^9 + 
      68*T1^11*T2^9 - 127*T1^12*T2^9 + 110*T1^4*T2^10 - 168*T1^5*T2^10 - 
      264*T1^6*T2^10 + 513*T1^7*T2^10 - 628*T1^8*T2^10 + 513*T1^9*T2^10 - 
      264*T1^10*T2^10 - 168*T1^11*T2^10 + 110*T1^12*T2^10 - 68*T1^5*T2^11 + 
      204*T1^6*T2^11 - 168*T1^7*T2^11 + 68*T1^8*T2^11 + 68*T1^9*T2^11 - 
      168*T1^10*T2^11 + 204*T1^11*T2^11 - 68*T1^12*T2^11 + 17*T1^6*T2^12 - 
      68*T1^7*T2^12 + 110*T1^8*T2^12 - 127*T1^9*T2^12 + 110*T1^10*T2^12 - 
      68*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 216] -> 
  {(2 - 8*T + 19*T^2 - 25*T^3 + 19*T^4 - 8*T^5 + 2*T^6)/T^3, 
   -((9 - 36*T1 + 86*T1^2 - 113*T1^3 + 86*T1^4 - 36*T1^5 + 9*T1^6 - 36*T2 + 
      108*T1*T2 - 200*T1^2*T2 + 108*T1^3*T2 + 108*T1^4*T2 - 200*T1^5*T2 + 
      108*T1^6*T2 - 36*T1^7*T2 + 86*T2^2 - 200*T1*T2^2 + 314*T1^2*T2^2 + 
      15*T1^3*T2^2 - 260*T1^4*T2^2 + 15*T1^5*T2^2 + 314*T1^6*T2^2 - 
      200*T1^7*T2^2 + 86*T1^8*T2^2 - 113*T2^3 + 108*T1*T2^3 + 15*T1^2*T2^3 - 
      732*T1^3*T2^3 + 491*T1^4*T2^3 + 491*T1^5*T2^3 - 732*T1^6*T2^3 + 
      15*T1^7*T2^3 + 108*T1^8*T2^3 - 113*T1^9*T2^3 + 86*T2^4 + 108*T1*T2^4 - 
      260*T1^2*T2^4 + 491*T1^3*T2^4 + 1248*T1^4*T2^4 - 2446*T1^5*T2^4 + 
      1248*T1^6*T2^4 + 491*T1^7*T2^4 - 260*T1^8*T2^4 + 108*T1^9*T2^4 + 
      86*T1^10*T2^4 - 36*T2^5 - 200*T1*T2^5 + 15*T1^2*T2^5 + 491*T1^3*T2^5 - 
      2446*T1^4*T2^5 + 1514*T1^5*T2^5 + 1514*T1^6*T2^5 - 2446*T1^7*T2^5 + 
      491*T1^8*T2^5 + 15*T1^9*T2^5 - 200*T1^10*T2^5 - 36*T1^11*T2^5 + 
      9*T2^6 + 108*T1*T2^6 + 314*T1^2*T2^6 - 732*T1^3*T2^6 + 1248*T1^4*T2^6 + 
      1514*T1^5*T2^6 - 3420*T1^6*T2^6 + 1514*T1^7*T2^6 + 1248*T1^8*T2^6 - 
      732*T1^9*T2^6 + 314*T1^10*T2^6 + 108*T1^11*T2^6 + 9*T1^12*T2^6 - 
      36*T1*T2^7 - 200*T1^2*T2^7 + 15*T1^3*T2^7 + 491*T1^4*T2^7 - 
      2446*T1^5*T2^7 + 1514*T1^6*T2^7 + 1514*T1^7*T2^7 - 2446*T1^8*T2^7 + 
      491*T1^9*T2^7 + 15*T1^10*T2^7 - 200*T1^11*T2^7 - 36*T1^12*T2^7 + 
      86*T1^2*T2^8 + 108*T1^3*T2^8 - 260*T1^4*T2^8 + 491*T1^5*T2^8 + 
      1248*T1^6*T2^8 - 2446*T1^7*T2^8 + 1248*T1^8*T2^8 + 491*T1^9*T2^8 - 
      260*T1^10*T2^8 + 108*T1^11*T2^8 + 86*T1^12*T2^8 - 113*T1^3*T2^9 + 
      108*T1^4*T2^9 + 15*T1^5*T2^9 - 732*T1^6*T2^9 + 491*T1^7*T2^9 + 
      491*T1^8*T2^9 - 732*T1^9*T2^9 + 15*T1^10*T2^9 + 108*T1^11*T2^9 - 
      113*T1^12*T2^9 + 86*T1^4*T2^10 - 200*T1^5*T2^10 + 314*T1^6*T2^10 + 
      15*T1^7*T2^10 - 260*T1^8*T2^10 + 15*T1^9*T2^10 + 314*T1^10*T2^10 - 
      200*T1^11*T2^10 + 86*T1^12*T2^10 - 36*T1^5*T2^11 + 108*T1^6*T2^11 - 
      200*T1^7*T2^11 + 108*T1^8*T2^11 + 108*T1^9*T2^11 - 200*T1^10*T2^11 + 
      108*T1^11*T2^11 - 36*T1^12*T2^11 + 9*T1^6*T2^12 - 36*T1^7*T2^12 + 
      86*T1^8*T2^12 - 113*T1^9*T2^12 + 86*T1^10*T2^12 - 36*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 217] -> 
  {(2 - 2*T - 3*T^2 + 7*T^3 - 3*T^4 - 2*T^5 + 2*T^6)/T^3, 
   (25 - 24*T1 - 40*T1^2 + 91*T1^3 - 40*T1^4 - 24*T1^5 + 25*T1^6 - 24*T2 + 
     60*T1^2*T2 - 48*T1^3*T2 - 48*T1^4*T2 + 60*T1^5*T2 - 24*T1^7*T2 - 
     40*T2^2 + 60*T1*T2^2 + 3*T1^2*T2^2 - 131*T1^3*T2^2 + 187*T1^4*T2^2 - 
     131*T1^5*T2^2 + 3*T1^6*T2^2 + 60*T1^7*T2^2 - 40*T1^8*T2^2 + 91*T2^3 - 
     48*T1*T2^3 - 131*T1^2*T2^3 + 254*T1^3*T2^3 - 107*T1^4*T2^3 - 
     107*T1^5*T2^3 + 254*T1^6*T2^3 - 131*T1^7*T2^3 - 48*T1^8*T2^3 + 
     91*T1^9*T2^3 - 40*T2^4 - 48*T1*T2^4 + 187*T1^2*T2^4 - 107*T1^3*T2^4 - 
     243*T1^4*T2^4 + 427*T1^5*T2^4 - 243*T1^6*T2^4 - 107*T1^7*T2^4 + 
     187*T1^8*T2^4 - 48*T1^9*T2^4 - 40*T1^10*T2^4 - 24*T2^5 + 60*T1*T2^5 - 
     131*T1^2*T2^5 - 107*T1^3*T2^5 + 427*T1^4*T2^5 - 292*T1^5*T2^5 - 
     292*T1^6*T2^5 + 427*T1^7*T2^5 - 107*T1^8*T2^5 - 131*T1^9*T2^5 + 
     60*T1^10*T2^5 - 24*T1^11*T2^5 + 25*T2^6 + 3*T1^2*T2^6 + 254*T1^3*T2^6 - 
     243*T1^4*T2^6 - 292*T1^5*T2^6 + 768*T1^6*T2^6 - 292*T1^7*T2^6 - 
     243*T1^8*T2^6 + 254*T1^9*T2^6 + 3*T1^10*T2^6 + 25*T1^12*T2^6 - 
     24*T1*T2^7 + 60*T1^2*T2^7 - 131*T1^3*T2^7 - 107*T1^4*T2^7 + 
     427*T1^5*T2^7 - 292*T1^6*T2^7 - 292*T1^7*T2^7 + 427*T1^8*T2^7 - 
     107*T1^9*T2^7 - 131*T1^10*T2^7 + 60*T1^11*T2^7 - 24*T1^12*T2^7 - 
     40*T1^2*T2^8 - 48*T1^3*T2^8 + 187*T1^4*T2^8 - 107*T1^5*T2^8 - 
     243*T1^6*T2^8 + 427*T1^7*T2^8 - 243*T1^8*T2^8 - 107*T1^9*T2^8 + 
     187*T1^10*T2^8 - 48*T1^11*T2^8 - 40*T1^12*T2^8 + 91*T1^3*T2^9 - 
     48*T1^4*T2^9 - 131*T1^5*T2^9 + 254*T1^6*T2^9 - 107*T1^7*T2^9 - 
     107*T1^8*T2^9 + 254*T1^9*T2^9 - 131*T1^10*T2^9 - 48*T1^11*T2^9 + 
     91*T1^12*T2^9 - 40*T1^4*T2^10 + 60*T1^5*T2^10 + 3*T1^6*T2^10 - 
     131*T1^7*T2^10 + 187*T1^8*T2^10 - 131*T1^9*T2^10 + 3*T1^10*T2^10 + 
     60*T1^11*T2^10 - 40*T1^12*T2^10 - 24*T1^5*T2^11 + 60*T1^7*T2^11 - 
     48*T1^8*T2^11 - 48*T1^9*T2^11 + 60*T1^10*T2^11 - 24*T1^12*T2^11 + 
     25*T1^6*T2^12 - 24*T1^7*T2^12 - 40*T1^8*T2^12 + 91*T1^9*T2^12 - 
     40*T1^10*T2^12 - 24*T1^11*T2^12 + 25*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 218] -> 
  {-((1 - 4*T + 6*T^2 - 7*T^3 + 6*T^4 - 4*T^5 + T^6)/T^3), 
   -((2*T1 - 4*T1^2 + 2*T1^3 + 2*T2 - 22*T1*T2 + 13*T1^2*T2 + 13*T1^3*T2 - 
      22*T1^4*T2 + 2*T1^5*T2 - 4*T2^2 + 13*T1*T2^2 + 117*T1^2*T2^2 - 
      179*T1^3*T2^2 + 117*T1^4*T2^2 + 13*T1^5*T2^2 - 4*T1^6*T2^2 + 2*T2^3 + 
      13*T1*T2^3 - 179*T1^2*T2^3 + 84*T1^3*T2^3 + 84*T1^4*T2^3 - 
      179*T1^5*T2^3 + 13*T1^6*T2^3 + 2*T1^7*T2^3 - 22*T1*T2^4 + 
      117*T1^2*T2^4 + 84*T1^3*T2^4 - 156*T1^4*T2^4 + 84*T1^5*T2^4 + 
      117*T1^6*T2^4 - 22*T1^7*T2^4 + 2*T1*T2^5 + 13*T1^2*T2^5 - 
      179*T1^3*T2^5 + 84*T1^4*T2^5 + 84*T1^5*T2^5 - 179*T1^6*T2^5 + 
      13*T1^7*T2^5 + 2*T1^8*T2^5 - 4*T1^2*T2^6 + 13*T1^3*T2^6 + 
      117*T1^4*T2^6 - 179*T1^5*T2^6 + 117*T1^6*T2^6 + 13*T1^7*T2^6 - 
      4*T1^8*T2^6 + 2*T1^3*T2^7 - 22*T1^4*T2^7 + 13*T1^5*T2^7 + 
      13*T1^6*T2^7 - 22*T1^7*T2^7 + 2*T1^8*T2^7 + 2*T1^5*T2^8 - 4*T1^6*T2^8 + 
      2*T1^7*T2^8)/(T1^4*T2^4))}, Knot[12, NonAlternating, 219] -> 
  {-(((1 - T + T^2)^2*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^4), 
   -((1 - 5*T1 + 12*T1^2 - 20*T1^3 + 23*T1^4 - 20*T1^5 + 12*T1^6 - 5*T1^7 + 
      T1^8 - 5*T2 + 20*T1*T2 - 35*T1^2*T2 + 40*T1^3*T2 - 15*T1^4*T2 - 
      15*T1^5*T2 + 40*T1^6*T2 - 35*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
      12*T2^2 - 35*T1*T2^2 + 31*T1^2*T2^2 + 4*T1^3*T2^2 - 92*T1^4*T2^2 + 
      113*T1^5*T2^2 - 92*T1^6*T2^2 + 4*T1^7*T2^2 + 31*T1^8*T2^2 - 
      35*T1^9*T2^2 + 12*T1^10*T2^2 - 20*T2^3 + 40*T1*T2^3 + 4*T1^2*T2^3 - 
      72*T1^3*T2^3 + 178*T1^4*T2^3 - 60*T1^5*T2^3 - 60*T1^6*T2^3 + 
      178*T1^7*T2^3 - 72*T1^8*T2^3 + 4*T1^9*T2^3 + 40*T1^10*T2^3 - 
      20*T1^11*T2^3 + 23*T2^4 - 15*T1*T2^4 - 92*T1^2*T2^4 + 178*T1^3*T2^4 - 
      249*T1^4*T2^4 - 45*T1^5*T2^4 + 111*T1^6*T2^4 - 45*T1^7*T2^4 - 
      249*T1^8*T2^4 + 178*T1^9*T2^4 - 92*T1^10*T2^4 - 15*T1^11*T2^4 + 
      23*T1^12*T2^4 - 20*T2^5 - 15*T1*T2^5 + 113*T1^2*T2^5 - 60*T1^3*T2^5 - 
      45*T1^4*T2^5 + 424*T1^5*T2^5 - 178*T1^6*T2^5 - 178*T1^7*T2^5 + 
      424*T1^8*T2^5 - 45*T1^9*T2^5 - 60*T1^10*T2^5 + 113*T1^11*T2^5 - 
      15*T1^12*T2^5 - 20*T1^13*T2^5 + 12*T2^6 + 40*T1*T2^6 - 92*T1^2*T2^6 - 
      60*T1^3*T2^6 + 111*T1^4*T2^6 - 178*T1^5*T2^6 - 486*T1^6*T2^6 + 
      784*T1^7*T2^6 - 486*T1^8*T2^6 - 178*T1^9*T2^6 + 111*T1^10*T2^6 - 
      60*T1^11*T2^6 - 92*T1^12*T2^6 + 40*T1^13*T2^6 + 12*T1^14*T2^6 - 
      5*T2^7 - 35*T1*T2^7 + 4*T1^2*T2^7 + 178*T1^3*T2^7 - 45*T1^4*T2^7 - 
      178*T1^5*T2^7 + 784*T1^6*T2^7 - 436*T1^7*T2^7 - 436*T1^8*T2^7 + 
      784*T1^9*T2^7 - 178*T1^10*T2^7 - 45*T1^11*T2^7 + 178*T1^12*T2^7 + 
      4*T1^13*T2^7 - 35*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 
      31*T1^2*T2^8 - 72*T1^3*T2^8 - 249*T1^4*T2^8 + 424*T1^5*T2^8 - 
      486*T1^6*T2^8 - 436*T1^7*T2^8 + 1008*T1^8*T2^8 - 436*T1^9*T2^8 - 
      486*T1^10*T2^8 + 424*T1^11*T2^8 - 249*T1^12*T2^8 - 72*T1^13*T2^8 + 
      31*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 35*T1^2*T2^9 + 
      4*T1^3*T2^9 + 178*T1^4*T2^9 - 45*T1^5*T2^9 - 178*T1^6*T2^9 + 
      784*T1^7*T2^9 - 436*T1^8*T2^9 - 436*T1^9*T2^9 + 784*T1^10*T2^9 - 
      178*T1^11*T2^9 - 45*T1^12*T2^9 + 178*T1^13*T2^9 + 4*T1^14*T2^9 - 
      35*T1^15*T2^9 - 5*T1^16*T2^9 + 12*T1^2*T2^10 + 40*T1^3*T2^10 - 
      92*T1^4*T2^10 - 60*T1^5*T2^10 + 111*T1^6*T2^10 - 178*T1^7*T2^10 - 
      486*T1^8*T2^10 + 784*T1^9*T2^10 - 486*T1^10*T2^10 - 178*T1^11*T2^10 + 
      111*T1^12*T2^10 - 60*T1^13*T2^10 - 92*T1^14*T2^10 + 40*T1^15*T2^10 + 
      12*T1^16*T2^10 - 20*T1^3*T2^11 - 15*T1^4*T2^11 + 113*T1^5*T2^11 - 
      60*T1^6*T2^11 - 45*T1^7*T2^11 + 424*T1^8*T2^11 - 178*T1^9*T2^11 - 
      178*T1^10*T2^11 + 424*T1^11*T2^11 - 45*T1^12*T2^11 - 60*T1^13*T2^11 + 
      113*T1^14*T2^11 - 15*T1^15*T2^11 - 20*T1^16*T2^11 + 23*T1^4*T2^12 - 
      15*T1^5*T2^12 - 92*T1^6*T2^12 + 178*T1^7*T2^12 - 249*T1^8*T2^12 - 
      45*T1^9*T2^12 + 111*T1^10*T2^12 - 45*T1^11*T2^12 - 249*T1^12*T2^12 + 
      178*T1^13*T2^12 - 92*T1^14*T2^12 - 15*T1^15*T2^12 + 23*T1^16*T2^12 - 
      20*T1^5*T2^13 + 40*T1^6*T2^13 + 4*T1^7*T2^13 - 72*T1^8*T2^13 + 
      178*T1^9*T2^13 - 60*T1^10*T2^13 - 60*T1^11*T2^13 + 178*T1^12*T2^13 - 
      72*T1^13*T2^13 + 4*T1^14*T2^13 + 40*T1^15*T2^13 - 20*T1^16*T2^13 + 
      12*T1^6*T2^14 - 35*T1^7*T2^14 + 31*T1^8*T2^14 + 4*T1^9*T2^14 - 
      92*T1^10*T2^14 + 113*T1^11*T2^14 - 92*T1^12*T2^14 + 4*T1^13*T2^14 + 
      31*T1^14*T2^14 - 35*T1^15*T2^14 + 12*T1^16*T2^14 - 5*T1^7*T2^15 + 
      20*T1^8*T2^15 - 35*T1^9*T2^15 + 40*T1^10*T2^15 - 15*T1^11*T2^15 - 
      15*T1^12*T2^15 + 40*T1^13*T2^15 - 35*T1^14*T2^15 + 20*T1^15*T2^15 - 
      5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 12*T1^10*T2^16 - 
      20*T1^11*T2^16 + 23*T1^12*T2^16 - 20*T1^13*T2^16 + 12*T1^14*T2^16 - 
      5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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), 
   -((3 - 9*T1 + 24*T1^3 - 39*T1^4 + 24*T1^5 - 9*T1^7 + 3*T1^8 - 9*T2 + 
      18*T1*T2 + 27*T1^2*T2 - 72*T1^3*T2 + 45*T1^4*T2 + 45*T1^5*T2 - 
      72*T1^6*T2 + 27*T1^7*T2 + 18*T1^8*T2 - 9*T1^9*T2 + 27*T1*T2^2 - 
      80*T1^2*T2^2 + T1^3*T2^2 + 204*T1^4*T2^2 - 332*T1^5*T2^2 + 
      204*T1^6*T2^2 + T1^7*T2^2 - 80*T1^8*T2^2 + 27*T1^9*T2^2 + 24*T2^3 - 
      72*T1*T2^3 + T1^2*T2^3 + 198*T1^3*T2^3 - 327*T1^4*T2^3 + 
      159*T1^5*T2^3 + 159*T1^6*T2^3 - 327*T1^7*T2^3 + 198*T1^8*T2^3 + 
      T1^9*T2^3 - 72*T1^10*T2^3 + 24*T1^11*T2^3 - 39*T2^4 + 45*T1*T2^4 + 
      204*T1^2*T2^4 - 327*T1^3*T2^4 + 33*T1^4*T2^4 + 625*T1^5*T2^4 - 
      917*T1^6*T2^4 + 625*T1^7*T2^4 + 33*T1^8*T2^4 - 327*T1^9*T2^4 + 
      204*T1^10*T2^4 + 45*T1^11*T2^4 - 39*T1^12*T2^4 + 24*T2^5 + 45*T1*T2^5 - 
      332*T1^2*T2^5 + 159*T1^3*T2^5 + 625*T1^4*T2^5 - 1230*T1^5*T2^5 + 
      619*T1^6*T2^5 + 619*T1^7*T2^5 - 1230*T1^8*T2^5 + 625*T1^9*T2^5 + 
      159*T1^10*T2^5 - 332*T1^11*T2^5 + 45*T1^12*T2^5 + 24*T1^13*T2^5 - 
      72*T1*T2^6 + 204*T1^2*T2^6 + 159*T1^3*T2^6 - 917*T1^4*T2^6 + 
      619*T1^5*T2^6 + 872*T1^6*T2^6 - 1836*T1^7*T2^6 + 872*T1^8*T2^6 + 
      619*T1^9*T2^6 - 917*T1^10*T2^6 + 159*T1^11*T2^6 + 204*T1^12*T2^6 - 
      72*T1^13*T2^6 - 9*T2^7 + 27*T1*T2^7 + T1^2*T2^7 - 327*T1^3*T2^7 + 
      625*T1^4*T2^7 + 619*T1^5*T2^7 - 1836*T1^6*T2^7 + 1180*T1^7*T2^7 + 
      1180*T1^8*T2^7 - 1836*T1^9*T2^7 + 619*T1^10*T2^7 + 625*T1^11*T2^7 - 
      327*T1^12*T2^7 + T1^13*T2^7 + 27*T1^14*T2^7 - 9*T1^15*T2^7 + 3*T2^8 + 
      18*T1*T2^8 - 80*T1^2*T2^8 + 198*T1^3*T2^8 + 33*T1^4*T2^8 - 
      1230*T1^5*T2^8 + 872*T1^6*T2^8 + 1180*T1^7*T2^8 - 2772*T1^8*T2^8 + 
      1180*T1^9*T2^8 + 872*T1^10*T2^8 - 1230*T1^11*T2^8 + 33*T1^12*T2^8 + 
      198*T1^13*T2^8 - 80*T1^14*T2^8 + 18*T1^15*T2^8 + 3*T1^16*T2^8 - 
      9*T1*T2^9 + 27*T1^2*T2^9 + T1^3*T2^9 - 327*T1^4*T2^9 + 625*T1^5*T2^9 + 
      619*T1^6*T2^9 - 1836*T1^7*T2^9 + 1180*T1^8*T2^9 + 1180*T1^9*T2^9 - 
      1836*T1^10*T2^9 + 619*T1^11*T2^9 + 625*T1^12*T2^9 - 327*T1^13*T2^9 + 
      T1^14*T2^9 + 27*T1^15*T2^9 - 9*T1^16*T2^9 - 72*T1^3*T2^10 + 
      204*T1^4*T2^10 + 159*T1^5*T2^10 - 917*T1^6*T2^10 + 619*T1^7*T2^10 + 
      872*T1^8*T2^10 - 1836*T1^9*T2^10 + 872*T1^10*T2^10 + 619*T1^11*T2^10 - 
      917*T1^12*T2^10 + 159*T1^13*T2^10 + 204*T1^14*T2^10 - 72*T1^15*T2^10 + 
      24*T1^3*T2^11 + 45*T1^4*T2^11 - 332*T1^5*T2^11 + 159*T1^6*T2^11 + 
      625*T1^7*T2^11 - 1230*T1^8*T2^11 + 619*T1^9*T2^11 + 619*T1^10*T2^11 - 
      1230*T1^11*T2^11 + 625*T1^12*T2^11 + 159*T1^13*T2^11 - 
      332*T1^14*T2^11 + 45*T1^15*T2^11 + 24*T1^16*T2^11 - 39*T1^4*T2^12 + 
      45*T1^5*T2^12 + 204*T1^6*T2^12 - 327*T1^7*T2^12 + 33*T1^8*T2^12 + 
      625*T1^9*T2^12 - 917*T1^10*T2^12 + 625*T1^11*T2^12 + 33*T1^12*T2^12 - 
      327*T1^13*T2^12 + 204*T1^14*T2^12 + 45*T1^15*T2^12 - 39*T1^16*T2^12 + 
      24*T1^5*T2^13 - 72*T1^6*T2^13 + T1^7*T2^13 + 198*T1^8*T2^13 - 
      327*T1^9*T2^13 + 159*T1^10*T2^13 + 159*T1^11*T2^13 - 327*T1^12*T2^13 + 
      198*T1^13*T2^13 + T1^14*T2^13 - 72*T1^15*T2^13 + 24*T1^16*T2^13 + 
      27*T1^7*T2^14 - 80*T1^8*T2^14 + T1^9*T2^14 + 204*T1^10*T2^14 - 
      332*T1^11*T2^14 + 204*T1^12*T2^14 + T1^13*T2^14 - 80*T1^14*T2^14 + 
      27*T1^15*T2^14 - 9*T1^7*T2^15 + 18*T1^8*T2^15 + 27*T1^9*T2^15 - 
      72*T1^10*T2^15 + 45*T1^11*T2^15 + 45*T1^12*T2^15 - 72*T1^13*T2^15 + 
      27*T1^14*T2^15 + 18*T1^15*T2^15 - 9*T1^16*T2^15 + 3*T1^8*T2^16 - 
      9*T1^9*T2^16 + 24*T1^11*T2^16 - 39*T1^12*T2^16 + 24*T1^13*T2^16 - 
      9*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 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 - 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 - T1^3*T2^3 + 2*T1^4*T2^3 + 
      2*T1^5*T2^3 - T1^6*T2^3 - 2*T1^9*T2^3 + T2^4 - 2*T1^2*T2^4 + 
      2*T1^3*T2^4 + 14*T1^4*T2^4 - 18*T1^5*T2^4 + 14*T1^6*T2^4 + 
      2*T1^7*T2^4 - 2*T1^8*T2^4 + T1^10*T2^4 + 2*T1*T2^5 + 2*T1^3*T2^5 - 
      18*T1^4*T2^5 - 18*T1^7*T2^5 + 2*T1^8*T2^5 + 2*T1^10*T2^5 - 2*T1*T2^6 - 
      2*T1^2*T2^6 - T1^3*T2^6 + 14*T1^4*T2^6 + 18*T1^6*T2^6 + 14*T1^8*T2^6 - 
      T1^9*T2^6 - 2*T1^10*T2^6 - 2*T1^11*T2^6 + 2*T1^2*T2^7 + 2*T1^4*T2^7 - 
      18*T1^5*T2^7 - 18*T1^8*T2^7 + 2*T1^9*T2^7 + 2*T1^11*T2^7 + T1^2*T2^8 - 
      2*T1^4*T2^8 + 2*T1^5*T2^8 + 14*T1^6*T2^8 - 18*T1^7*T2^8 + 
      14*T1^8*T2^8 + 2*T1^9*T2^8 - 2*T1^10*T2^8 + T1^12*T2^8 - 2*T1^3*T2^9 - 
      T1^6*T2^9 + 2*T1^7*T2^9 + 2*T1^8*T2^9 - T1^9*T2^9 - 2*T1^12*T2^9 + 
      T1^4*T2^10 + 2*T1^5*T2^10 - 2*T1^6*T2^10 - 2*T1^8*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))/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 222] -> 
  {-(((1 - T + T^2)*(2 - 11*T + 17*T^2 - 11*T^3 + 2*T^4))/T^3), 
   -((17 - 109*T1 + 250*T1^2 - 325*T1^3 + 250*T1^4 - 109*T1^5 + 17*T1^6 - 
      109*T2 + 592*T1*T2 - 897*T1^2*T2 + 475*T1^3*T2 + 475*T1^4*T2 - 
      897*T1^5*T2 + 592*T1^6*T2 - 109*T1^7*T2 + 250*T2^2 - 897*T1*T2^2 - 
      694*T1^2*T2^2 + 4176*T1^3*T2^2 - 6346*T1^4*T2^2 + 4176*T1^5*T2^2 - 
      694*T1^6*T2^2 - 897*T1^7*T2^2 + 250*T1^8*T2^2 - 325*T2^3 + 
      475*T1*T2^3 + 4176*T1^2*T2^3 - 7842*T1^3*T2^3 + 4587*T1^4*T2^3 + 
      4587*T1^5*T2^3 - 7842*T1^6*T2^3 + 4176*T1^7*T2^3 + 475*T1^8*T2^3 - 
      325*T1^9*T2^3 + 250*T2^4 + 475*T1*T2^4 - 6346*T1^2*T2^4 + 
      4587*T1^3*T2^4 + 5412*T1^4*T2^4 - 13292*T1^5*T2^4 + 5412*T1^6*T2^4 + 
      4587*T1^7*T2^4 - 6346*T1^8*T2^4 + 475*T1^9*T2^4 + 250*T1^10*T2^4 - 
      109*T2^5 - 897*T1*T2^5 + 4176*T1^2*T2^5 + 4587*T1^3*T2^5 - 
      13292*T1^4*T2^5 + 9004*T1^5*T2^5 + 9004*T1^6*T2^5 - 13292*T1^7*T2^5 + 
      4587*T1^8*T2^5 + 4176*T1^9*T2^5 - 897*T1^10*T2^5 - 109*T1^11*T2^5 + 
      17*T2^6 + 592*T1*T2^6 - 694*T1^2*T2^6 - 7842*T1^3*T2^6 + 
      5412*T1^4*T2^6 + 9004*T1^5*T2^6 - 20940*T1^6*T2^6 + 9004*T1^7*T2^6 + 
      5412*T1^8*T2^6 - 7842*T1^9*T2^6 - 694*T1^10*T2^6 + 592*T1^11*T2^6 + 
      17*T1^12*T2^6 - 109*T1*T2^7 - 897*T1^2*T2^7 + 4176*T1^3*T2^7 + 
      4587*T1^4*T2^7 - 13292*T1^5*T2^7 + 9004*T1^6*T2^7 + 9004*T1^7*T2^7 - 
      13292*T1^8*T2^7 + 4587*T1^9*T2^7 + 4176*T1^10*T2^7 - 897*T1^11*T2^7 - 
      109*T1^12*T2^7 + 250*T1^2*T2^8 + 475*T1^3*T2^8 - 6346*T1^4*T2^8 + 
      4587*T1^5*T2^8 + 5412*T1^6*T2^8 - 13292*T1^7*T2^8 + 5412*T1^8*T2^8 + 
      4587*T1^9*T2^8 - 6346*T1^10*T2^8 + 475*T1^11*T2^8 + 250*T1^12*T2^8 - 
      325*T1^3*T2^9 + 475*T1^4*T2^9 + 4176*T1^5*T2^9 - 7842*T1^6*T2^9 + 
      4587*T1^7*T2^9 + 4587*T1^8*T2^9 - 7842*T1^9*T2^9 + 4176*T1^10*T2^9 + 
      475*T1^11*T2^9 - 325*T1^12*T2^9 + 250*T1^4*T2^10 - 897*T1^5*T2^10 - 
      694*T1^6*T2^10 + 4176*T1^7*T2^10 - 6346*T1^8*T2^10 + 4176*T1^9*T2^10 - 
      694*T1^10*T2^10 - 897*T1^11*T2^10 + 250*T1^12*T2^10 - 109*T1^5*T2^11 + 
      592*T1^6*T2^11 - 897*T1^7*T2^11 + 475*T1^8*T2^11 + 475*T1^9*T2^11 - 
      897*T1^10*T2^11 + 592*T1^11*T2^11 - 109*T1^12*T2^11 + 17*T1^6*T2^12 - 
      109*T1^7*T2^12 + 250*T1^8*T2^12 - 325*T1^9*T2^12 + 250*T1^10*T2^12 - 
      109*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 223] -> 
  {((1 - T + T^2)*(2 - 9*T + 15*T^2 - 9*T^3 + 2*T^4))/T^3, 
   (9 - 49*T1 + 116*T1^2 - 147*T1^3 + 116*T1^4 - 49*T1^5 + 9*T1^6 - 49*T2 + 
     216*T1*T2 - 359*T1^2*T2 + 163*T1^3*T2 + 163*T1^4*T2 - 359*T1^5*T2 + 
     216*T1^6*T2 - 49*T1^7*T2 + 116*T2^2 - 359*T1*T2^2 + 138*T1^2*T2^2 + 
     938*T1^3*T2^2 - 1366*T1^4*T2^2 + 938*T1^5*T2^2 + 138*T1^6*T2^2 - 
     359*T1^7*T2^2 + 116*T1^8*T2^2 - 147*T2^3 + 163*T1*T2^3 + 938*T1^2*T2^3 - 
     2470*T1^3*T2^3 + 1053*T1^4*T2^3 + 1053*T1^5*T2^3 - 2470*T1^6*T2^3 + 
     938*T1^7*T2^3 + 163*T1^8*T2^3 - 147*T1^9*T2^3 + 116*T2^4 + 163*T1*T2^4 - 
     1366*T1^2*T2^4 + 1053*T1^3*T2^4 + 3548*T1^4*T2^4 - 5092*T1^5*T2^4 + 
     3548*T1^6*T2^4 + 1053*T1^7*T2^4 - 1366*T1^8*T2^4 + 163*T1^9*T2^4 + 
     116*T1^10*T2^4 - 49*T2^5 - 359*T1*T2^5 + 938*T1^2*T2^5 + 
     1053*T1^3*T2^5 - 5092*T1^4*T2^5 + 2040*T1^5*T2^5 + 2040*T1^6*T2^5 - 
     5092*T1^7*T2^5 + 1053*T1^8*T2^5 + 938*T1^9*T2^5 - 359*T1^10*T2^5 - 
     49*T1^11*T2^5 + 9*T2^6 + 216*T1*T2^6 + 138*T1^2*T2^6 - 2470*T1^3*T2^6 + 
     3548*T1^4*T2^6 + 2040*T1^5*T2^6 - 3600*T1^6*T2^6 + 2040*T1^7*T2^6 + 
     3548*T1^8*T2^6 - 2470*T1^9*T2^6 + 138*T1^10*T2^6 + 216*T1^11*T2^6 + 
     9*T1^12*T2^6 - 49*T1*T2^7 - 359*T1^2*T2^7 + 938*T1^3*T2^7 + 
     1053*T1^4*T2^7 - 5092*T1^5*T2^7 + 2040*T1^6*T2^7 + 2040*T1^7*T2^7 - 
     5092*T1^8*T2^7 + 1053*T1^9*T2^7 + 938*T1^10*T2^7 - 359*T1^11*T2^7 - 
     49*T1^12*T2^7 + 116*T1^2*T2^8 + 163*T1^3*T2^8 - 1366*T1^4*T2^8 + 
     1053*T1^5*T2^8 + 3548*T1^6*T2^8 - 5092*T1^7*T2^8 + 3548*T1^8*T2^8 + 
     1053*T1^9*T2^8 - 1366*T1^10*T2^8 + 163*T1^11*T2^8 + 116*T1^12*T2^8 - 
     147*T1^3*T2^9 + 163*T1^4*T2^9 + 938*T1^5*T2^9 - 2470*T1^6*T2^9 + 
     1053*T1^7*T2^9 + 1053*T1^8*T2^9 - 2470*T1^9*T2^9 + 938*T1^10*T2^9 + 
     163*T1^11*T2^9 - 147*T1^12*T2^9 + 116*T1^4*T2^10 - 359*T1^5*T2^10 + 
     138*T1^6*T2^10 + 938*T1^7*T2^10 - 1366*T1^8*T2^10 + 938*T1^9*T2^10 + 
     138*T1^10*T2^10 - 359*T1^11*T2^10 + 116*T1^12*T2^10 - 49*T1^5*T2^11 + 
     216*T1^6*T2^11 - 359*T1^7*T2^11 + 163*T1^8*T2^11 + 163*T1^9*T2^11 - 
     359*T1^10*T2^11 + 216*T1^11*T2^11 - 49*T1^12*T2^11 + 9*T1^6*T2^12 - 
     49*T1^7*T2^12 + 116*T1^8*T2^12 - 147*T1^9*T2^12 + 116*T1^10*T2^12 - 
     49*T1^11*T2^12 + 9*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 224] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)^2)/T^3), 
   (1 - 5*T1 + 12*T1^2 - 17*T1^3 + 12*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     16*T1*T2 - 21*T1^2*T2 + 15*T1^3*T2 + 15*T1^4*T2 - 21*T1^5*T2 + 
     16*T1^6*T2 - 5*T1^7*T2 + 12*T2^2 - 21*T1*T2^2 + 6*T1^2*T2^2 - 
     28*T1^3*T2^2 + 10*T1^4*T2^2 - 28*T1^5*T2^2 + 6*T1^6*T2^2 - 
     21*T1^7*T2^2 + 12*T1^8*T2^2 - 17*T2^3 + 15*T1*T2^3 - 28*T1^2*T2^3 + 
     190*T1^3*T2^3 - 65*T1^4*T2^3 - 65*T1^5*T2^3 + 190*T1^6*T2^3 - 
     28*T1^7*T2^3 + 15*T1^8*T2^3 - 17*T1^9*T2^3 + 12*T2^4 + 15*T1*T2^4 + 
     10*T1^2*T2^4 - 65*T1^3*T2^4 - 652*T1^4*T2^4 + 880*T1^5*T2^4 - 
     652*T1^6*T2^4 - 65*T1^7*T2^4 + 10*T1^8*T2^4 + 15*T1^9*T2^4 + 
     12*T1^10*T2^4 - 5*T2^5 - 21*T1*T2^5 - 28*T1^2*T2^5 - 65*T1^3*T2^5 + 
     880*T1^4*T2^5 - 348*T1^5*T2^5 - 348*T1^6*T2^5 + 880*T1^7*T2^5 - 
     65*T1^8*T2^5 - 28*T1^9*T2^5 - 21*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     16*T1*T2^6 + 6*T1^2*T2^6 + 190*T1^3*T2^6 - 652*T1^4*T2^6 - 
     348*T1^5*T2^6 + 588*T1^6*T2^6 - 348*T1^7*T2^6 - 652*T1^8*T2^6 + 
     190*T1^9*T2^6 + 6*T1^10*T2^6 + 16*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     21*T1^2*T2^7 - 28*T1^3*T2^7 - 65*T1^4*T2^7 + 880*T1^5*T2^7 - 
     348*T1^6*T2^7 - 348*T1^7*T2^7 + 880*T1^8*T2^7 - 65*T1^9*T2^7 - 
     28*T1^10*T2^7 - 21*T1^11*T2^7 - 5*T1^12*T2^7 + 12*T1^2*T2^8 + 
     15*T1^3*T2^8 + 10*T1^4*T2^8 - 65*T1^5*T2^8 - 652*T1^6*T2^8 + 
     880*T1^7*T2^8 - 652*T1^8*T2^8 - 65*T1^9*T2^8 + 10*T1^10*T2^8 + 
     15*T1^11*T2^8 + 12*T1^12*T2^8 - 17*T1^3*T2^9 + 15*T1^4*T2^9 - 
     28*T1^5*T2^9 + 190*T1^6*T2^9 - 65*T1^7*T2^9 - 65*T1^8*T2^9 + 
     190*T1^9*T2^9 - 28*T1^10*T2^9 + 15*T1^11*T2^9 - 17*T1^12*T2^9 + 
     12*T1^4*T2^10 - 21*T1^5*T2^10 + 6*T1^6*T2^10 - 28*T1^7*T2^10 + 
     10*T1^8*T2^10 - 28*T1^9*T2^10 + 6*T1^10*T2^10 - 21*T1^11*T2^10 + 
     12*T1^12*T2^10 - 5*T1^5*T2^11 + 16*T1^6*T2^11 - 21*T1^7*T2^11 + 
     15*T1^8*T2^11 + 15*T1^9*T2^11 - 21*T1^10*T2^11 + 16*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 12*T1^8*T2^12 - 
     17*T1^9*T2^12 + 12*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 225] -> 
  {-(((1 - T + T^2)*(3 - 7*T + 3*T^2))/T^2), 
   (-2*(18 - 56*T1 + 68*T1^2 - 56*T1^3 + 18*T1^4 - 56*T2 + 119*T1*T2 - 
      36*T1^2*T2 - 36*T1^3*T2 + 119*T1^4*T2 - 56*T1^5*T2 + 68*T2^2 - 
      36*T1*T2^2 - 244*T1^2*T2^2 + 264*T1^3*T2^2 - 244*T1^4*T2^2 - 
      36*T1^5*T2^2 + 68*T1^6*T2^2 - 56*T2^3 - 36*T1*T2^3 + 264*T1^2*T2^3 - 
      30*T1^3*T2^3 - 30*T1^4*T2^3 + 264*T1^5*T2^3 - 36*T1^6*T2^3 - 
      56*T1^7*T2^3 + 18*T2^4 + 119*T1*T2^4 - 244*T1^2*T2^4 - 30*T1^3*T2^4 - 
      66*T1^4*T2^4 - 30*T1^5*T2^4 - 244*T1^6*T2^4 + 119*T1^7*T2^4 + 
      18*T1^8*T2^4 - 56*T1*T2^5 - 36*T1^2*T2^5 + 264*T1^3*T2^5 - 
      30*T1^4*T2^5 - 30*T1^5*T2^5 + 264*T1^6*T2^5 - 36*T1^7*T2^5 - 
      56*T1^8*T2^5 + 68*T1^2*T2^6 - 36*T1^3*T2^6 - 244*T1^4*T2^6 + 
      264*T1^5*T2^6 - 244*T1^6*T2^6 - 36*T1^7*T2^6 + 68*T1^8*T2^6 - 
      56*T1^3*T2^7 + 119*T1^4*T2^7 - 36*T1^5*T2^7 - 36*T1^6*T2^7 + 
      119*T1^7*T2^7 - 56*T1^8*T2^7 + 18*T1^4*T2^8 - 56*T1^5*T2^8 + 
      68*T1^6*T2^8 - 56*T1^7*T2^8 + 18*T1^8*T2^8))/(T1^4*T2^4)}, 
 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, 
   (2 - 10*T1 + 22*T1^2 - 28*T1^3 + 30*T1^4 - 28*T1^5 + 22*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 60*T1^2*T2 + 30*T1^3*T2 - 10*T1^4*T2 - 
     10*T1^5*T2 + 30*T1^6*T2 - 60*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     22*T2^2 - 60*T1*T2^2 + 13*T1^2*T2^2 + 136*T1^3*T2^2 - 142*T1^4*T2^2 + 
     151*T1^5*T2^2 - 142*T1^6*T2^2 + 136*T1^7*T2^2 + 13*T1^8*T2^2 - 
     60*T1^9*T2^2 + 22*T1^10*T2^2 - 28*T2^3 + 30*T1*T2^3 + 136*T1^2*T2^3 - 
     304*T1^3*T2^3 + 79*T1^4*T2^3 - 31*T1^5*T2^3 - 31*T1^6*T2^3 + 
     79*T1^7*T2^3 - 304*T1^8*T2^3 + 136*T1^9*T2^3 + 30*T1^10*T2^3 - 
     28*T1^11*T2^3 + 30*T2^4 - 10*T1*T2^4 - 142*T1^2*T2^4 + 79*T1^3*T2^4 + 
     416*T1^4*T2^4 - 338*T1^5*T2^4 + 358*T1^6*T2^4 - 338*T1^7*T2^4 + 
     416*T1^8*T2^4 + 79*T1^9*T2^4 - 142*T1^10*T2^4 - 10*T1^11*T2^4 + 
     30*T1^12*T2^4 - 28*T2^5 - 10*T1*T2^5 + 151*T1^2*T2^5 - 31*T1^3*T2^5 - 
     338*T1^4*T2^5 - 22*T1^5*T2^5 - 16*T1^6*T2^5 - 16*T1^7*T2^5 - 
     22*T1^8*T2^5 - 338*T1^9*T2^5 - 31*T1^10*T2^5 + 151*T1^11*T2^5 - 
     10*T1^12*T2^5 - 28*T1^13*T2^5 + 22*T2^6 + 30*T1*T2^6 - 142*T1^2*T2^6 - 
     31*T1^3*T2^6 + 358*T1^4*T2^6 - 16*T1^5*T2^6 + 199*T1^6*T2^6 - 
     167*T1^7*T2^6 + 199*T1^8*T2^6 - 16*T1^9*T2^6 + 358*T1^10*T2^6 - 
     31*T1^11*T2^6 - 142*T1^12*T2^6 + 30*T1^13*T2^6 + 22*T1^14*T2^6 - 
     10*T2^7 - 60*T1*T2^7 + 136*T1^2*T2^7 + 79*T1^3*T2^7 - 338*T1^4*T2^7 - 
     16*T1^5*T2^7 - 167*T1^6*T2^7 + 28*T1^7*T2^7 + 28*T1^8*T2^7 - 
     167*T1^9*T2^7 - 16*T1^10*T2^7 - 338*T1^11*T2^7 + 79*T1^12*T2^7 + 
     136*T1^13*T2^7 - 60*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 + 
     13*T1^2*T2^8 - 304*T1^3*T2^8 + 416*T1^4*T2^8 - 22*T1^5*T2^8 + 
     199*T1^6*T2^8 + 28*T1^7*T2^8 - 48*T1^8*T2^8 + 28*T1^9*T2^8 + 
     199*T1^10*T2^8 - 22*T1^11*T2^8 + 416*T1^12*T2^8 - 304*T1^13*T2^8 + 
     13*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     60*T1^2*T2^9 + 136*T1^3*T2^9 + 79*T1^4*T2^9 - 338*T1^5*T2^9 - 
     16*T1^6*T2^9 - 167*T1^7*T2^9 + 28*T1^8*T2^9 + 28*T1^9*T2^9 - 
     167*T1^10*T2^9 - 16*T1^11*T2^9 - 338*T1^12*T2^9 + 79*T1^13*T2^9 + 
     136*T1^14*T2^9 - 60*T1^15*T2^9 - 10*T1^16*T2^9 + 22*T1^2*T2^10 + 
     30*T1^3*T2^10 - 142*T1^4*T2^10 - 31*T1^5*T2^10 + 358*T1^6*T2^10 - 
     16*T1^7*T2^10 + 199*T1^8*T2^10 - 167*T1^9*T2^10 + 199*T1^10*T2^10 - 
     16*T1^11*T2^10 + 358*T1^12*T2^10 - 31*T1^13*T2^10 - 142*T1^14*T2^10 + 
     30*T1^15*T2^10 + 22*T1^16*T2^10 - 28*T1^3*T2^11 - 10*T1^4*T2^11 + 
     151*T1^5*T2^11 - 31*T1^6*T2^11 - 338*T1^7*T2^11 - 22*T1^8*T2^11 - 
     16*T1^9*T2^11 - 16*T1^10*T2^11 - 22*T1^11*T2^11 - 338*T1^12*T2^11 - 
     31*T1^13*T2^11 + 151*T1^14*T2^11 - 10*T1^15*T2^11 - 28*T1^16*T2^11 + 
     30*T1^4*T2^12 - 10*T1^5*T2^12 - 142*T1^6*T2^12 + 79*T1^7*T2^12 + 
     416*T1^8*T2^12 - 338*T1^9*T2^12 + 358*T1^10*T2^12 - 338*T1^11*T2^12 + 
     416*T1^12*T2^12 + 79*T1^13*T2^12 - 142*T1^14*T2^12 - 10*T1^15*T2^12 + 
     30*T1^16*T2^12 - 28*T1^5*T2^13 + 30*T1^6*T2^13 + 136*T1^7*T2^13 - 
     304*T1^8*T2^13 + 79*T1^9*T2^13 - 31*T1^10*T2^13 - 31*T1^11*T2^13 + 
     79*T1^12*T2^13 - 304*T1^13*T2^13 + 136*T1^14*T2^13 + 30*T1^15*T2^13 - 
     28*T1^16*T2^13 + 22*T1^6*T2^14 - 60*T1^7*T2^14 + 13*T1^8*T2^14 + 
     136*T1^9*T2^14 - 142*T1^10*T2^14 + 151*T1^11*T2^14 - 142*T1^12*T2^14 + 
     136*T1^13*T2^14 + 13*T1^14*T2^14 - 60*T1^15*T2^14 + 22*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 60*T1^9*T2^15 + 30*T1^10*T2^15 - 
     10*T1^11*T2^15 - 10*T1^12*T2^15 + 30*T1^13*T2^15 - 60*T1^14*T2^15 + 
     40*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)/(T1^8*T2^8)}, 
 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), (1 - 5*T1 + 13*T1^2 - 24*T1^3 + 29*T1^4 - 24*T1^5 + 13*T1^6 - 
     5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 40*T1^2*T2 + 55*T1^3*T2 - 25*T1^4*T2 - 
     25*T1^5*T2 + 55*T1^6*T2 - 40*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
     13*T2^2 - 40*T1*T2^2 + 56*T1^2*T2^2 - 44*T1^3*T2^2 - 75*T1^4*T2^2 + 
     132*T1^5*T2^2 - 75*T1^6*T2^2 - 44*T1^7*T2^2 + 56*T1^8*T2^2 - 
     40*T1^9*T2^2 + 13*T1^10*T2^2 - 24*T2^3 + 55*T1*T2^3 - 44*T1^2*T2^3 - 
     12*T1^3*T2^3 + 213*T1^4*T2^3 - 114*T1^5*T2^3 - 114*T1^6*T2^3 + 
     213*T1^7*T2^3 - 12*T1^8*T2^3 - 44*T1^9*T2^3 + 55*T1^10*T2^3 - 
     24*T1^11*T2^3 + 29*T2^4 - 25*T1*T2^4 - 75*T1^2*T2^4 + 213*T1^3*T2^4 - 
     424*T1^4*T2^4 - T1^5*T2^4 + 246*T1^6*T2^4 - T1^7*T2^4 - 424*T1^8*T2^4 + 
     213*T1^9*T2^4 - 75*T1^10*T2^4 - 25*T1^11*T2^4 + 29*T1^12*T2^4 - 
     24*T2^5 - 25*T1*T2^5 + 132*T1^2*T2^5 - 114*T1^3*T2^5 - T1^4*T2^5 + 
     724*T1^5*T2^5 - 435*T1^6*T2^5 - 435*T1^7*T2^5 + 724*T1^8*T2^5 - 
     T1^9*T2^5 - 114*T1^10*T2^5 + 132*T1^11*T2^5 - 25*T1^12*T2^5 - 
     24*T1^13*T2^5 + 13*T2^6 + 55*T1*T2^6 - 75*T1^2*T2^6 - 114*T1^3*T2^6 + 
     246*T1^4*T2^6 - 435*T1^5*T2^6 - 826*T1^6*T2^6 + 1618*T1^7*T2^6 - 
     826*T1^8*T2^6 - 435*T1^9*T2^6 + 246*T1^10*T2^6 - 114*T1^11*T2^6 - 
     75*T1^12*T2^6 + 55*T1^13*T2^6 + 13*T1^14*T2^6 - 5*T2^7 - 40*T1*T2^7 - 
     44*T1^2*T2^7 + 213*T1^3*T2^7 - T1^4*T2^7 - 435*T1^5*T2^7 + 
     1618*T1^6*T2^7 - 952*T1^7*T2^7 - 952*T1^8*T2^7 + 1618*T1^9*T2^7 - 
     435*T1^10*T2^7 - T1^11*T2^7 + 213*T1^12*T2^7 - 44*T1^13*T2^7 - 
     40*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 56*T1^2*T2^8 - 
     12*T1^3*T2^8 - 424*T1^4*T2^8 + 724*T1^5*T2^8 - 826*T1^6*T2^8 - 
     952*T1^7*T2^8 + 2112*T1^8*T2^8 - 952*T1^9*T2^8 - 826*T1^10*T2^8 + 
     724*T1^11*T2^8 - 424*T1^12*T2^8 - 12*T1^13*T2^8 + 56*T1^14*T2^8 + 
     20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 40*T1^2*T2^9 - 44*T1^3*T2^9 + 
     213*T1^4*T2^9 - T1^5*T2^9 - 435*T1^6*T2^9 + 1618*T1^7*T2^9 - 
     952*T1^8*T2^9 - 952*T1^9*T2^9 + 1618*T1^10*T2^9 - 435*T1^11*T2^9 - 
     T1^12*T2^9 + 213*T1^13*T2^9 - 44*T1^14*T2^9 - 40*T1^15*T2^9 - 
     5*T1^16*T2^9 + 13*T1^2*T2^10 + 55*T1^3*T2^10 - 75*T1^4*T2^10 - 
     114*T1^5*T2^10 + 246*T1^6*T2^10 - 435*T1^7*T2^10 - 826*T1^8*T2^10 + 
     1618*T1^9*T2^10 - 826*T1^10*T2^10 - 435*T1^11*T2^10 + 246*T1^12*T2^10 - 
     114*T1^13*T2^10 - 75*T1^14*T2^10 + 55*T1^15*T2^10 + 13*T1^16*T2^10 - 
     24*T1^3*T2^11 - 25*T1^4*T2^11 + 132*T1^5*T2^11 - 114*T1^6*T2^11 - 
     T1^7*T2^11 + 724*T1^8*T2^11 - 435*T1^9*T2^11 - 435*T1^10*T2^11 + 
     724*T1^11*T2^11 - T1^12*T2^11 - 114*T1^13*T2^11 + 132*T1^14*T2^11 - 
     25*T1^15*T2^11 - 24*T1^16*T2^11 + 29*T1^4*T2^12 - 25*T1^5*T2^12 - 
     75*T1^6*T2^12 + 213*T1^7*T2^12 - 424*T1^8*T2^12 - T1^9*T2^12 + 
     246*T1^10*T2^12 - T1^11*T2^12 - 424*T1^12*T2^12 + 213*T1^13*T2^12 - 
     75*T1^14*T2^12 - 25*T1^15*T2^12 + 29*T1^16*T2^12 - 24*T1^5*T2^13 + 
     55*T1^6*T2^13 - 44*T1^7*T2^13 - 12*T1^8*T2^13 + 213*T1^9*T2^13 - 
     114*T1^10*T2^13 - 114*T1^11*T2^13 + 213*T1^12*T2^13 - 12*T1^13*T2^13 - 
     44*T1^14*T2^13 + 55*T1^15*T2^13 - 24*T1^16*T2^13 + 13*T1^6*T2^14 - 
     40*T1^7*T2^14 + 56*T1^8*T2^14 - 44*T1^9*T2^14 - 75*T1^10*T2^14 + 
     132*T1^11*T2^14 - 75*T1^12*T2^14 - 44*T1^13*T2^14 + 56*T1^14*T2^14 - 
     40*T1^15*T2^14 + 13*T1^16*T2^14 - 5*T1^7*T2^15 + 20*T1^8*T2^15 - 
     40*T1^9*T2^15 + 55*T1^10*T2^15 - 25*T1^11*T2^15 - 25*T1^12*T2^15 + 
     55*T1^13*T2^15 - 40*T1^14*T2^15 + 20*T1^15*T2^15 - 5*T1^16*T2^15 + 
     T1^8*T2^16 - 5*T1^9*T2^16 + 13*T1^10*T2^16 - 24*T1^11*T2^16 + 
     29*T1^12*T2^16 - 24*T1^13*T2^16 + 13*T1^14*T2^16 - 5*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, 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), 
   -((3 - 9*T1 - 3*T1^2 + 36*T1^3 - 57*T1^4 + 36*T1^5 - 3*T1^6 - 9*T1^7 + 
      3*T1^8 - 9*T2 + 18*T1*T2 + 36*T1^2*T2 - 99*T1^3*T2 + 63*T1^4*T2 + 
      63*T1^5*T2 - 99*T1^6*T2 + 36*T1^7*T2 + 18*T1^8*T2 - 9*T1^9*T2 - 
      3*T2^2 + 36*T1*T2^2 - 81*T1^2*T2^2 - 46*T1^3*T2^2 + 354*T1^4*T2^2 - 
      543*T1^5*T2^2 + 354*T1^6*T2^2 - 46*T1^7*T2^2 - 81*T1^8*T2^2 + 
      36*T1^9*T2^2 - 3*T1^10*T2^2 + 36*T2^3 - 99*T1*T2^3 - 46*T1^2*T2^3 + 
      378*T1^3*T2^3 - 569*T1^4*T2^3 + 267*T1^5*T2^3 + 267*T1^6*T2^3 - 
      569*T1^7*T2^3 + 378*T1^8*T2^3 - 46*T1^9*T2^3 - 99*T1^10*T2^3 + 
      36*T1^11*T2^3 - 57*T2^4 + 63*T1*T2^4 + 354*T1^2*T2^4 - 569*T1^3*T2^4 - 
      53*T1^4*T2^4 + 1349*T1^5*T2^4 - 1939*T1^6*T2^4 + 1349*T1^7*T2^4 - 
      53*T1^8*T2^4 - 569*T1^9*T2^4 + 354*T1^10*T2^4 + 63*T1^11*T2^4 - 
      57*T1^12*T2^4 + 36*T2^5 + 63*T1*T2^5 - 543*T1^2*T2^5 + 267*T1^3*T2^5 + 
      1349*T1^4*T2^5 - 2658*T1^5*T2^5 + 1390*T1^6*T2^5 + 1390*T1^7*T2^5 - 
      2658*T1^8*T2^5 + 1349*T1^9*T2^5 + 267*T1^10*T2^5 - 543*T1^11*T2^5 + 
      63*T1^12*T2^5 + 36*T1^13*T2^5 - 3*T2^6 - 99*T1*T2^6 + 354*T1^2*T2^6 + 
      267*T1^3*T2^6 - 1939*T1^4*T2^6 + 1390*T1^5*T2^6 + 2196*T1^6*T2^6 - 
      4696*T1^7*T2^6 + 2196*T1^8*T2^6 + 1390*T1^9*T2^6 - 1939*T1^10*T2^6 + 
      267*T1^11*T2^6 + 354*T1^12*T2^6 - 99*T1^13*T2^6 - 3*T1^14*T2^6 - 
      9*T2^7 + 36*T1*T2^7 - 46*T1^2*T2^7 - 569*T1^3*T2^7 + 1349*T1^4*T2^7 + 
      1390*T1^5*T2^7 - 4696*T1^6*T2^7 + 3146*T1^7*T2^7 + 3146*T1^8*T2^7 - 
      4696*T1^9*T2^7 + 1390*T1^10*T2^7 + 1349*T1^11*T2^7 - 569*T1^12*T2^7 - 
      46*T1^13*T2^7 + 36*T1^14*T2^7 - 9*T1^15*T2^7 + 3*T2^8 + 18*T1*T2^8 - 
      81*T1^2*T2^8 + 378*T1^3*T2^8 - 53*T1^4*T2^8 - 2658*T1^5*T2^8 + 
      2196*T1^6*T2^8 + 3146*T1^7*T2^8 - 7512*T1^8*T2^8 + 3146*T1^9*T2^8 + 
      2196*T1^10*T2^8 - 2658*T1^11*T2^8 - 53*T1^12*T2^8 + 378*T1^13*T2^8 - 
      81*T1^14*T2^8 + 18*T1^15*T2^8 + 3*T1^16*T2^8 - 9*T1*T2^9 + 
      36*T1^2*T2^9 - 46*T1^3*T2^9 - 569*T1^4*T2^9 + 1349*T1^5*T2^9 + 
      1390*T1^6*T2^9 - 4696*T1^7*T2^9 + 3146*T1^8*T2^9 + 3146*T1^9*T2^9 - 
      4696*T1^10*T2^9 + 1390*T1^11*T2^9 + 1349*T1^12*T2^9 - 569*T1^13*T2^9 - 
      46*T1^14*T2^9 + 36*T1^15*T2^9 - 9*T1^16*T2^9 - 3*T1^2*T2^10 - 
      99*T1^3*T2^10 + 354*T1^4*T2^10 + 267*T1^5*T2^10 - 1939*T1^6*T2^10 + 
      1390*T1^7*T2^10 + 2196*T1^8*T2^10 - 4696*T1^9*T2^10 + 
      2196*T1^10*T2^10 + 1390*T1^11*T2^10 - 1939*T1^12*T2^10 + 
      267*T1^13*T2^10 + 354*T1^14*T2^10 - 99*T1^15*T2^10 - 3*T1^16*T2^10 + 
      36*T1^3*T2^11 + 63*T1^4*T2^11 - 543*T1^5*T2^11 + 267*T1^6*T2^11 + 
      1349*T1^7*T2^11 - 2658*T1^8*T2^11 + 1390*T1^9*T2^11 + 
      1390*T1^10*T2^11 - 2658*T1^11*T2^11 + 1349*T1^12*T2^11 + 
      267*T1^13*T2^11 - 543*T1^14*T2^11 + 63*T1^15*T2^11 + 36*T1^16*T2^11 - 
      57*T1^4*T2^12 + 63*T1^5*T2^12 + 354*T1^6*T2^12 - 569*T1^7*T2^12 - 
      53*T1^8*T2^12 + 1349*T1^9*T2^12 - 1939*T1^10*T2^12 + 1349*T1^11*T2^12 - 
      53*T1^12*T2^12 - 569*T1^13*T2^12 + 354*T1^14*T2^12 + 63*T1^15*T2^12 - 
      57*T1^16*T2^12 + 36*T1^5*T2^13 - 99*T1^6*T2^13 - 46*T1^7*T2^13 + 
      378*T1^8*T2^13 - 569*T1^9*T2^13 + 267*T1^10*T2^13 + 267*T1^11*T2^13 - 
      569*T1^12*T2^13 + 378*T1^13*T2^13 - 46*T1^14*T2^13 - 99*T1^15*T2^13 + 
      36*T1^16*T2^13 - 3*T1^6*T2^14 + 36*T1^7*T2^14 - 81*T1^8*T2^14 - 
      46*T1^9*T2^14 + 354*T1^10*T2^14 - 543*T1^11*T2^14 + 354*T1^12*T2^14 - 
      46*T1^13*T2^14 - 81*T1^14*T2^14 + 36*T1^15*T2^14 - 3*T1^16*T2^14 - 
      9*T1^7*T2^15 + 18*T1^8*T2^15 + 36*T1^9*T2^15 - 99*T1^10*T2^15 + 
      63*T1^11*T2^15 + 63*T1^12*T2^15 - 99*T1^13*T2^15 + 36*T1^14*T2^15 + 
      18*T1^15*T2^15 - 9*T1^16*T2^15 + 3*T1^8*T2^16 - 9*T1^9*T2^16 - 
      3*T1^10*T2^16 + 36*T1^11*T2^16 - 57*T1^12*T2^16 + 36*T1^13*T2^16 - 
      3*T1^14*T2^16 - 9*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 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), 
   -((3 - 15*T1 + 24*T1^2 - 24*T1^3 + 21*T1^4 - 24*T1^5 + 24*T1^6 - 15*T1^7 + 
      3*T1^8 - 15*T2 + 60*T1*T2 - 45*T1^2*T2 + 15*T1^4*T2 + 15*T1^5*T2 - 
      45*T1^7*T2 + 60*T1^8*T2 - 15*T1^9*T2 + 24*T2^2 - 45*T1*T2^2 - 
      155*T1^2*T2^2 + 280*T1^3*T2^2 - 224*T1^4*T2^2 + 121*T1^5*T2^2 - 
      224*T1^6*T2^2 + 280*T1^7*T2^2 - 155*T1^8*T2^2 - 45*T1^9*T2^2 + 
      24*T1^10*T2^2 - 24*T2^3 + 280*T1^2*T2^3 - 202*T1^3*T2^3 - 
      38*T1^4*T2^3 + 114*T1^5*T2^3 + 114*T1^6*T2^3 - 38*T1^7*T2^3 - 
      202*T1^8*T2^3 + 280*T1^9*T2^3 - 24*T1^11*T2^3 + 21*T2^4 + 15*T1*T2^4 - 
      224*T1^2*T2^4 - 38*T1^3*T2^4 + 191*T1^4*T2^4 - 87*T1^5*T2^4 - 
      139*T1^6*T2^4 - 87*T1^7*T2^4 + 191*T1^8*T2^4 - 38*T1^9*T2^4 - 
      224*T1^10*T2^4 + 15*T1^11*T2^4 + 21*T1^12*T2^4 - 24*T2^5 + 15*T1*T2^5 + 
      121*T1^2*T2^5 + 114*T1^3*T2^5 - 87*T1^4*T2^5 - 24*T1^5*T2^5 + 
      108*T1^6*T2^5 + 108*T1^7*T2^5 - 24*T1^8*T2^5 - 87*T1^9*T2^5 + 
      114*T1^10*T2^5 + 121*T1^11*T2^5 + 15*T1^12*T2^5 - 24*T1^13*T2^5 + 
      24*T2^6 - 224*T1^2*T2^6 + 114*T1^3*T2^6 - 139*T1^4*T2^6 + 
      108*T1^5*T2^6 - 168*T1^6*T2^6 + 88*T1^7*T2^6 - 168*T1^8*T2^6 + 
      108*T1^9*T2^6 - 139*T1^10*T2^6 + 114*T1^11*T2^6 - 224*T1^12*T2^6 + 
      24*T1^14*T2^6 - 15*T2^7 - 45*T1*T2^7 + 280*T1^2*T2^7 - 38*T1^3*T2^7 - 
      87*T1^4*T2^7 + 108*T1^5*T2^7 + 88*T1^6*T2^7 - 30*T1^7*T2^7 - 
      30*T1^8*T2^7 + 88*T1^9*T2^7 + 108*T1^10*T2^7 - 87*T1^11*T2^7 - 
      38*T1^12*T2^7 + 280*T1^13*T2^7 - 45*T1^14*T2^7 - 15*T1^15*T2^7 + 
      3*T2^8 + 60*T1*T2^8 - 155*T1^2*T2^8 - 202*T1^3*T2^8 + 191*T1^4*T2^8 - 
      24*T1^5*T2^8 - 168*T1^6*T2^8 - 30*T1^7*T2^8 + 108*T1^8*T2^8 - 
      30*T1^9*T2^8 - 168*T1^10*T2^8 - 24*T1^11*T2^8 + 191*T1^12*T2^8 - 
      202*T1^13*T2^8 - 155*T1^14*T2^8 + 60*T1^15*T2^8 + 3*T1^16*T2^8 - 
      15*T1*T2^9 - 45*T1^2*T2^9 + 280*T1^3*T2^9 - 38*T1^4*T2^9 - 
      87*T1^5*T2^9 + 108*T1^6*T2^9 + 88*T1^7*T2^9 - 30*T1^8*T2^9 - 
      30*T1^9*T2^9 + 88*T1^10*T2^9 + 108*T1^11*T2^9 - 87*T1^12*T2^9 - 
      38*T1^13*T2^9 + 280*T1^14*T2^9 - 45*T1^15*T2^9 - 15*T1^16*T2^9 + 
      24*T1^2*T2^10 - 224*T1^4*T2^10 + 114*T1^5*T2^10 - 139*T1^6*T2^10 + 
      108*T1^7*T2^10 - 168*T1^8*T2^10 + 88*T1^9*T2^10 - 168*T1^10*T2^10 + 
      108*T1^11*T2^10 - 139*T1^12*T2^10 + 114*T1^13*T2^10 - 224*T1^14*T2^10 + 
      24*T1^16*T2^10 - 24*T1^3*T2^11 + 15*T1^4*T2^11 + 121*T1^5*T2^11 + 
      114*T1^6*T2^11 - 87*T1^7*T2^11 - 24*T1^8*T2^11 + 108*T1^9*T2^11 + 
      108*T1^10*T2^11 - 24*T1^11*T2^11 - 87*T1^12*T2^11 + 114*T1^13*T2^11 + 
      121*T1^14*T2^11 + 15*T1^15*T2^11 - 24*T1^16*T2^11 + 21*T1^4*T2^12 + 
      15*T1^5*T2^12 - 224*T1^6*T2^12 - 38*T1^7*T2^12 + 191*T1^8*T2^12 - 
      87*T1^9*T2^12 - 139*T1^10*T2^12 - 87*T1^11*T2^12 + 191*T1^12*T2^12 - 
      38*T1^13*T2^12 - 224*T1^14*T2^12 + 15*T1^15*T2^12 + 21*T1^16*T2^12 - 
      24*T1^5*T2^13 + 280*T1^7*T2^13 - 202*T1^8*T2^13 - 38*T1^9*T2^13 + 
      114*T1^10*T2^13 + 114*T1^11*T2^13 - 38*T1^12*T2^13 - 202*T1^13*T2^13 + 
      280*T1^14*T2^13 - 24*T1^16*T2^13 + 24*T1^6*T2^14 - 45*T1^7*T2^14 - 
      155*T1^8*T2^14 + 280*T1^9*T2^14 - 224*T1^10*T2^14 + 121*T1^11*T2^14 - 
      224*T1^12*T2^14 + 280*T1^13*T2^14 - 155*T1^14*T2^14 - 45*T1^15*T2^14 + 
      24*T1^16*T2^14 - 15*T1^7*T2^15 + 60*T1^8*T2^15 - 45*T1^9*T2^15 + 
      15*T1^11*T2^15 + 15*T1^12*T2^15 - 45*T1^14*T2^15 + 60*T1^15*T2^15 - 
      15*T1^16*T2^15 + 3*T1^8*T2^16 - 15*T1^9*T2^16 + 24*T1^10*T2^16 - 
      24*T1^11*T2^16 + 21*T1^12*T2^16 - 24*T1^13*T2^16 + 24*T1^14*T2^16 - 
      15*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 230] -> 
  {(1 - 4*T + 4*T^2 - T^3 + 4*T^4 - 4*T^5 + T^6)/T^3, 
   (1 - 4*T1 + 4*T1^2 - T1^3 + 4*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 12*T1*T2 - 
     12*T1^3*T2 - 12*T1^4*T2 + 12*T1^6*T2 - 4*T1^7*T2 + 4*T2^2 - 
     40*T1^2*T2^2 + 32*T1^3*T2^2 + 28*T1^4*T2^2 + 32*T1^5*T2^2 - 
     40*T1^6*T2^2 + 4*T1^8*T2^2 - T2^3 - 12*T1*T2^3 + 32*T1^2*T2^3 + 
     22*T1^3*T2^3 - 45*T1^4*T2^3 - 45*T1^5*T2^3 + 22*T1^6*T2^3 + 
     32*T1^7*T2^3 - 12*T1^8*T2^3 - T1^9*T2^3 + 4*T2^4 - 12*T1*T2^4 + 
     28*T1^2*T2^4 - 45*T1^3*T2^4 + 10*T1^4*T2^4 - 6*T1^5*T2^4 + 
     10*T1^6*T2^4 - 45*T1^7*T2^4 + 28*T1^8*T2^4 - 12*T1^9*T2^4 + 
     4*T1^10*T2^4 - 4*T2^5 + 32*T1^2*T2^5 - 45*T1^3*T2^5 - 6*T1^4*T2^5 + 
     50*T1^5*T2^5 + 50*T1^6*T2^5 - 6*T1^7*T2^5 - 45*T1^8*T2^5 + 
     32*T1^9*T2^5 - 4*T1^11*T2^5 + T2^6 + 12*T1*T2^6 - 40*T1^2*T2^6 + 
     22*T1^3*T2^6 + 10*T1^4*T2^6 + 50*T1^5*T2^6 - 156*T1^6*T2^6 + 
     50*T1^7*T2^6 + 10*T1^8*T2^6 + 22*T1^9*T2^6 - 40*T1^10*T2^6 + 
     12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 + 32*T1^3*T2^7 - 45*T1^4*T2^7 - 
     6*T1^5*T2^7 + 50*T1^6*T2^7 + 50*T1^7*T2^7 - 6*T1^8*T2^7 - 45*T1^9*T2^7 + 
     32*T1^10*T2^7 - 4*T1^12*T2^7 + 4*T1^2*T2^8 - 12*T1^3*T2^8 + 
     28*T1^4*T2^8 - 45*T1^5*T2^8 + 10*T1^6*T2^8 - 6*T1^7*T2^8 + 
     10*T1^8*T2^8 - 45*T1^9*T2^8 + 28*T1^10*T2^8 - 12*T1^11*T2^8 + 
     4*T1^12*T2^8 - T1^3*T2^9 - 12*T1^4*T2^9 + 32*T1^5*T2^9 + 22*T1^6*T2^9 - 
     45*T1^7*T2^9 - 45*T1^8*T2^9 + 22*T1^9*T2^9 + 32*T1^10*T2^9 - 
     12*T1^11*T2^9 - T1^12*T2^9 + 4*T1^4*T2^10 - 40*T1^6*T2^10 + 
     32*T1^7*T2^10 + 28*T1^8*T2^10 + 32*T1^9*T2^10 - 40*T1^10*T2^10 + 
     4*T1^12*T2^10 - 4*T1^5*T2^11 + 12*T1^6*T2^11 - 12*T1^8*T2^11 - 
     12*T1^9*T2^11 + 12*T1^11*T2^11 - 4*T1^12*T2^11 + T1^6*T2^12 - 
     4*T1^7*T2^12 + 4*T1^8*T2^12 - T1^9*T2^12 + 4*T1^10*T2^12 - 
     4*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 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 - 11*T1^2*T2^2 + 35*T1^3*T2^2 - 45*T1^4*T2^2 + 
      35*T1^5*T2^2 - 11*T1^6*T2^2 + 2*T1^7*T2^2 + T1^8*T2^2 - 2*T2^3 + 
      35*T1^2*T2^3 - 106*T1^3*T2^3 + 38*T1^4*T2^3 + 38*T1^5*T2^3 - 
      106*T1^6*T2^3 + 35*T1^7*T2^3 - 2*T1^9*T2^3 + T2^4 - 45*T1^2*T2^4 + 
      38*T1^3*T2^4 + 318*T1^4*T2^4 - 396*T1^5*T2^4 + 318*T1^6*T2^4 + 
      38*T1^7*T2^4 - 45*T1^8*T2^4 + T1^10*T2^4 + 2*T1*T2^5 + 35*T1^2*T2^5 + 
      38*T1^3*T2^5 - 396*T1^4*T2^5 + 108*T1^5*T2^5 + 108*T1^6*T2^5 - 
      396*T1^7*T2^5 + 38*T1^8*T2^5 + 35*T1^9*T2^5 + 2*T1^10*T2^5 - 
      2*T1*T2^6 - 11*T1^2*T2^6 - 106*T1^3*T2^6 + 318*T1^4*T2^6 + 
      108*T1^5*T2^6 - 96*T1^6*T2^6 + 108*T1^7*T2^6 + 318*T1^8*T2^6 - 
      106*T1^9*T2^6 - 11*T1^10*T2^6 - 2*T1^11*T2^6 + 2*T1^2*T2^7 + 
      35*T1^3*T2^7 + 38*T1^4*T2^7 - 396*T1^5*T2^7 + 108*T1^6*T2^7 + 
      108*T1^7*T2^7 - 396*T1^8*T2^7 + 38*T1^9*T2^7 + 35*T1^10*T2^7 + 
      2*T1^11*T2^7 + T1^2*T2^8 - 45*T1^4*T2^8 + 38*T1^5*T2^8 + 
      318*T1^6*T2^8 - 396*T1^7*T2^8 + 318*T1^8*T2^8 + 38*T1^9*T2^8 - 
      45*T1^10*T2^8 + T1^12*T2^8 - 2*T1^3*T2^9 + 35*T1^5*T2^9 - 
      106*T1^6*T2^9 + 38*T1^7*T2^9 + 38*T1^8*T2^9 - 106*T1^9*T2^9 + 
      35*T1^10*T2^9 - 2*T1^12*T2^9 + T1^4*T2^10 + 2*T1^5*T2^10 - 
      11*T1^6*T2^10 + 35*T1^7*T2^10 - 45*T1^8*T2^10 + 35*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)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 232] -> {-((2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4)/T^2), 
   (9 - 35*T1 + 43*T1^2 - 35*T1^3 + 9*T1^4 - 35*T2 + 106*T1*T2 - 36*T1^2*T2 - 
     36*T1^3*T2 + 106*T1^4*T2 - 35*T1^5*T2 + 43*T2^2 - 36*T1*T2^2 - 
     318*T1^2*T2^2 + 394*T1^3*T2^2 - 318*T1^4*T2^2 - 36*T1^5*T2^2 + 
     43*T1^6*T2^2 - 35*T2^3 - 36*T1*T2^3 + 394*T1^2*T2^3 - 110*T1^3*T2^3 - 
     110*T1^4*T2^3 + 394*T1^5*T2^3 - 36*T1^6*T2^3 - 35*T1^7*T2^3 + 9*T2^4 + 
     106*T1*T2^4 - 318*T1^2*T2^4 - 110*T1^3*T2^4 + 108*T1^4*T2^4 - 
     110*T1^5*T2^4 - 318*T1^6*T2^4 + 106*T1^7*T2^4 + 9*T1^8*T2^4 - 
     35*T1*T2^5 - 36*T1^2*T2^5 + 394*T1^3*T2^5 - 110*T1^4*T2^5 - 
     110*T1^5*T2^5 + 394*T1^6*T2^5 - 36*T1^7*T2^5 - 35*T1^8*T2^5 + 
     43*T1^2*T2^6 - 36*T1^3*T2^6 - 318*T1^4*T2^6 + 394*T1^5*T2^6 - 
     318*T1^6*T2^6 - 36*T1^7*T2^6 + 43*T1^8*T2^6 - 35*T1^3*T2^7 + 
     106*T1^4*T2^7 - 36*T1^5*T2^7 - 36*T1^6*T2^7 + 106*T1^7*T2^7 - 
     35*T1^8*T2^7 + 9*T1^4*T2^8 - 35*T1^5*T2^8 + 43*T1^6*T2^8 - 
     35*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4)}, 
 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 + 4*T1*T2 - 8*T1^2*T2 + 4*T1^3*T2 + 4*T1^6*T2 - 
      8*T1^7*T2 + 4*T1^8*T2 - 4*T1^9*T2 + 8*T2^2 - 8*T1*T2^2 + 29*T1^2*T2^2 - 
      31*T1^3*T2^2 + 38*T1^4*T2^2 - 45*T1^5*T2^2 + 38*T1^6*T2^2 - 
      31*T1^7*T2^2 + 29*T1^8*T2^2 - 8*T1^9*T2^2 + 8*T1^10*T2^2 - 10*T2^3 + 
      4*T1*T2^3 - 31*T1^2*T2^3 + 10*T1^3*T2^3 - 11*T1^4*T2^3 + 8*T1^5*T2^3 + 
      8*T1^6*T2^3 - 11*T1^7*T2^3 + 10*T1^8*T2^3 - 31*T1^9*T2^3 + 
      4*T1^10*T2^3 - 10*T1^11*T2^3 + 10*T2^4 + 38*T1^2*T2^4 - 11*T1^3*T2^4 + 
      41*T1^4*T2^4 - 45*T1^5*T2^4 + 35*T1^6*T2^4 - 45*T1^7*T2^4 + 
      41*T1^8*T2^4 - 11*T1^9*T2^4 + 38*T1^10*T2^4 + 10*T1^12*T2^4 - 10*T2^5 - 
      45*T1^2*T2^5 + 8*T1^3*T2^5 - 45*T1^4*T2^5 + 18*T1^5*T2^5 + 
      3*T1^6*T2^5 + 3*T1^7*T2^5 + 18*T1^8*T2^5 - 45*T1^9*T2^5 + 
      8*T1^10*T2^5 - 45*T1^11*T2^5 - 10*T1^13*T2^5 + 8*T2^6 + 4*T1*T2^6 + 
      38*T1^2*T2^6 + 8*T1^3*T2^6 + 35*T1^4*T2^6 + 3*T1^5*T2^6 - 2*T1^6*T2^6 - 
      14*T1^7*T2^6 - 2*T1^8*T2^6 + 3*T1^9*T2^6 + 35*T1^10*T2^6 + 
      8*T1^11*T2^6 + 38*T1^12*T2^6 + 4*T1^13*T2^6 + 8*T1^14*T2^6 - 4*T2^7 - 
      8*T1*T2^7 - 31*T1^2*T2^7 - 11*T1^3*T2^7 - 45*T1^4*T2^7 + 3*T1^5*T2^7 - 
      14*T1^6*T2^7 + 12*T1^7*T2^7 + 12*T1^8*T2^7 - 14*T1^9*T2^7 + 
      3*T1^10*T2^7 - 45*T1^11*T2^7 - 11*T1^12*T2^7 - 31*T1^13*T2^7 - 
      8*T1^14*T2^7 - 4*T1^15*T2^7 + 2*T2^8 + 4*T1*T2^8 + 29*T1^2*T2^8 + 
      10*T1^3*T2^8 + 41*T1^4*T2^8 + 18*T1^5*T2^8 - 2*T1^6*T2^8 + 
      12*T1^7*T2^8 - 24*T1^8*T2^8 + 12*T1^9*T2^8 - 2*T1^10*T2^8 + 
      18*T1^11*T2^8 + 41*T1^12*T2^8 + 10*T1^13*T2^8 + 29*T1^14*T2^8 + 
      4*T1^15*T2^8 + 2*T1^16*T2^8 - 4*T1*T2^9 - 8*T1^2*T2^9 - 31*T1^3*T2^9 - 
      11*T1^4*T2^9 - 45*T1^5*T2^9 + 3*T1^6*T2^9 - 14*T1^7*T2^9 + 
      12*T1^8*T2^9 + 12*T1^9*T2^9 - 14*T1^10*T2^9 + 3*T1^11*T2^9 - 
      45*T1^12*T2^9 - 11*T1^13*T2^9 - 31*T1^14*T2^9 - 8*T1^15*T2^9 - 
      4*T1^16*T2^9 + 8*T1^2*T2^10 + 4*T1^3*T2^10 + 38*T1^4*T2^10 + 
      8*T1^5*T2^10 + 35*T1^6*T2^10 + 3*T1^7*T2^10 - 2*T1^8*T2^10 - 
      14*T1^9*T2^10 - 2*T1^10*T2^10 + 3*T1^11*T2^10 + 35*T1^12*T2^10 + 
      8*T1^13*T2^10 + 38*T1^14*T2^10 + 4*T1^15*T2^10 + 8*T1^16*T2^10 - 
      10*T1^3*T2^11 - 45*T1^5*T2^11 + 8*T1^6*T2^11 - 45*T1^7*T2^11 + 
      18*T1^8*T2^11 + 3*T1^9*T2^11 + 3*T1^10*T2^11 + 18*T1^11*T2^11 - 
      45*T1^12*T2^11 + 8*T1^13*T2^11 - 45*T1^14*T2^11 - 10*T1^16*T2^11 + 
      10*T1^4*T2^12 + 38*T1^6*T2^12 - 11*T1^7*T2^12 + 41*T1^8*T2^12 - 
      45*T1^9*T2^12 + 35*T1^10*T2^12 - 45*T1^11*T2^12 + 41*T1^12*T2^12 - 
      11*T1^13*T2^12 + 38*T1^14*T2^12 + 10*T1^16*T2^12 - 10*T1^5*T2^13 + 
      4*T1^6*T2^13 - 31*T1^7*T2^13 + 10*T1^8*T2^13 - 11*T1^9*T2^13 + 
      8*T1^10*T2^13 + 8*T1^11*T2^13 - 11*T1^12*T2^13 + 10*T1^13*T2^13 - 
      31*T1^14*T2^13 + 4*T1^15*T2^13 - 10*T1^16*T2^13 + 8*T1^6*T2^14 - 
      8*T1^7*T2^14 + 29*T1^8*T2^14 - 31*T1^9*T2^14 + 38*T1^10*T2^14 - 
      45*T1^11*T2^14 + 38*T1^12*T2^14 - 31*T1^13*T2^14 + 29*T1^14*T2^14 - 
      8*T1^15*T2^14 + 8*T1^16*T2^14 - 4*T1^7*T2^15 + 4*T1^8*T2^15 - 
      8*T1^9*T2^15 + 4*T1^10*T2^15 + 4*T1^13*T2^15 - 8*T1^14*T2^15 + 
      4*T1^15*T2^15 - 4*T1^16*T2^15 + 2*T1^8*T2^16 - 4*T1^9*T2^16 + 
      8*T1^10*T2^16 - 10*T1^11*T2^16 + 10*T1^12*T2^16 - 10*T1^13*T2^16 + 
      8*T1^14*T2^16 - 4*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 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), 
   -((3 - 12*T1 + 18*T1^2 - 21*T1^3 + 21*T1^4 - 21*T1^5 + 18*T1^6 - 12*T1^7 + 
      3*T1^8 - 12*T2 + 36*T1*T2 - 23*T1^2*T2 + 12*T1^3*T2 + 12*T1^6*T2 - 
      23*T1^7*T2 + 36*T1^8*T2 - 12*T1^9*T2 + 18*T2^2 - 23*T1*T2^2 - 
      72*T1^2*T2^2 + 97*T1^3*T2^2 - 113*T1^4*T2^2 + 96*T1^5*T2^2 - 
      113*T1^6*T2^2 + 97*T1^7*T2^2 - 72*T1^8*T2^2 - 23*T1^9*T2^2 + 
      18*T1^10*T2^2 - 21*T2^3 + 12*T1*T2^3 + 97*T1^2*T2^3 - 28*T1^3*T2^3 + 
      19*T1^4*T2^3 + 17*T1^5*T2^3 + 17*T1^6*T2^3 + 19*T1^7*T2^3 - 
      28*T1^8*T2^3 + 97*T1^9*T2^3 + 12*T1^10*T2^3 - 21*T1^11*T2^3 + 21*T2^4 - 
      113*T1^2*T2^4 + 19*T1^3*T2^4 - 96*T1^4*T2^4 + 84*T1^5*T2^4 - 
      140*T1^6*T2^4 + 84*T1^7*T2^4 - 96*T1^8*T2^4 + 19*T1^9*T2^4 - 
      113*T1^10*T2^4 + 21*T1^12*T2^4 - 21*T2^5 + 96*T1^2*T2^5 + 
      17*T1^3*T2^5 + 84*T1^4*T2^5 - 4*T1^5*T2^5 + 38*T1^6*T2^5 + 
      38*T1^7*T2^5 - 4*T1^8*T2^5 + 84*T1^9*T2^5 + 17*T1^10*T2^5 + 
      96*T1^11*T2^5 - 21*T1^13*T2^5 + 18*T2^6 + 12*T1*T2^6 - 113*T1^2*T2^6 + 
      17*T1^3*T2^6 - 140*T1^4*T2^6 + 38*T1^5*T2^6 - 114*T1^6*T2^6 + 
      56*T1^7*T2^6 - 114*T1^8*T2^6 + 38*T1^9*T2^6 - 140*T1^10*T2^6 + 
      17*T1^11*T2^6 - 113*T1^12*T2^6 + 12*T1^13*T2^6 + 18*T1^14*T2^6 - 
      12*T2^7 - 23*T1*T2^7 + 97*T1^2*T2^7 + 19*T1^3*T2^7 + 84*T1^4*T2^7 + 
      38*T1^5*T2^7 + 56*T1^6*T2^7 + 24*T1^7*T2^7 + 24*T1^8*T2^7 + 
      56*T1^9*T2^7 + 38*T1^10*T2^7 + 84*T1^11*T2^7 + 19*T1^12*T2^7 + 
      97*T1^13*T2^7 - 23*T1^14*T2^7 - 12*T1^15*T2^7 + 3*T2^8 + 36*T1*T2^8 - 
      72*T1^2*T2^8 - 28*T1^3*T2^8 - 96*T1^4*T2^8 - 4*T1^5*T2^8 - 
      114*T1^6*T2^8 + 24*T1^7*T2^8 - 84*T1^8*T2^8 + 24*T1^9*T2^8 - 
      114*T1^10*T2^8 - 4*T1^11*T2^8 - 96*T1^12*T2^8 - 28*T1^13*T2^8 - 
      72*T1^14*T2^8 + 36*T1^15*T2^8 + 3*T1^16*T2^8 - 12*T1*T2^9 - 
      23*T1^2*T2^9 + 97*T1^3*T2^9 + 19*T1^4*T2^9 + 84*T1^5*T2^9 + 
      38*T1^6*T2^9 + 56*T1^7*T2^9 + 24*T1^8*T2^9 + 24*T1^9*T2^9 + 
      56*T1^10*T2^9 + 38*T1^11*T2^9 + 84*T1^12*T2^9 + 19*T1^13*T2^9 + 
      97*T1^14*T2^9 - 23*T1^15*T2^9 - 12*T1^16*T2^9 + 18*T1^2*T2^10 + 
      12*T1^3*T2^10 - 113*T1^4*T2^10 + 17*T1^5*T2^10 - 140*T1^6*T2^10 + 
      38*T1^7*T2^10 - 114*T1^8*T2^10 + 56*T1^9*T2^10 - 114*T1^10*T2^10 + 
      38*T1^11*T2^10 - 140*T1^12*T2^10 + 17*T1^13*T2^10 - 113*T1^14*T2^10 + 
      12*T1^15*T2^10 + 18*T1^16*T2^10 - 21*T1^3*T2^11 + 96*T1^5*T2^11 + 
      17*T1^6*T2^11 + 84*T1^7*T2^11 - 4*T1^8*T2^11 + 38*T1^9*T2^11 + 
      38*T1^10*T2^11 - 4*T1^11*T2^11 + 84*T1^12*T2^11 + 17*T1^13*T2^11 + 
      96*T1^14*T2^11 - 21*T1^16*T2^11 + 21*T1^4*T2^12 - 113*T1^6*T2^12 + 
      19*T1^7*T2^12 - 96*T1^8*T2^12 + 84*T1^9*T2^12 - 140*T1^10*T2^12 + 
      84*T1^11*T2^12 - 96*T1^12*T2^12 + 19*T1^13*T2^12 - 113*T1^14*T2^12 + 
      21*T1^16*T2^12 - 21*T1^5*T2^13 + 12*T1^6*T2^13 + 97*T1^7*T2^13 - 
      28*T1^8*T2^13 + 19*T1^9*T2^13 + 17*T1^10*T2^13 + 17*T1^11*T2^13 + 
      19*T1^12*T2^13 - 28*T1^13*T2^13 + 97*T1^14*T2^13 + 12*T1^15*T2^13 - 
      21*T1^16*T2^13 + 18*T1^6*T2^14 - 23*T1^7*T2^14 - 72*T1^8*T2^14 + 
      97*T1^9*T2^14 - 113*T1^10*T2^14 + 96*T1^11*T2^14 - 113*T1^12*T2^14 + 
      97*T1^13*T2^14 - 72*T1^14*T2^14 - 23*T1^15*T2^14 + 18*T1^16*T2^14 - 
      12*T1^7*T2^15 + 36*T1^8*T2^15 - 23*T1^9*T2^15 + 12*T1^10*T2^15 + 
      12*T1^13*T2^15 - 23*T1^14*T2^15 + 36*T1^15*T2^15 - 12*T1^16*T2^15 + 
      3*T1^8*T2^16 - 12*T1^9*T2^16 + 18*T1^10*T2^16 - 21*T1^11*T2^16 + 
      21*T1^12*T2^16 - 21*T1^13*T2^16 + 18*T1^14*T2^16 - 12*T1^15*T2^16 + 
      3*T1^16*T2^16)/(T1^8*T2^8))}, 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 + 4*T1*T2 - 4*T1^3*T2 - 4*T1^6*T2 + 4*T1^8*T2 - 
      4*T1^9*T2 + 4*T2^2 - 5*T1^2*T2^2 + 6*T1^3*T2^2 + 2*T1^4*T2^2 + 
      T1^5*T2^2 + 2*T1^6*T2^2 + 6*T1^7*T2^2 - 5*T1^8*T2^2 + 4*T1^10*T2^2 - 
      2*T2^3 - 4*T1*T2^3 + 6*T1^2*T2^3 - 2*T1^3*T2^3 - 5*T1^4*T2^3 - 
      T1^5*T2^3 - T1^6*T2^3 - 5*T1^7*T2^3 - 2*T1^8*T2^3 + 6*T1^9*T2^3 - 
      4*T1^10*T2^3 - 2*T1^11*T2^3 + 2*T2^4 + 2*T1^2*T2^4 - 5*T1^3*T2^4 + 
      6*T1^4*T2^4 + 2*T1^6*T2^4 + 6*T1^8*T2^4 - 5*T1^9*T2^4 + 2*T1^10*T2^4 + 
      2*T1^12*T2^4 - 2*T2^5 + T1^2*T2^5 - T1^3*T2^5 - 2*T1^5*T2^5 - 
      2*T1^8*T2^5 - T1^10*T2^5 + T1^11*T2^5 - 2*T1^13*T2^5 + 4*T2^6 - 
      4*T1*T2^6 + 2*T1^2*T2^6 - T1^3*T2^6 + 2*T1^4*T2^6 - 6*T1^6*T2^6 + 
      8*T1^7*T2^6 - 6*T1^8*T2^6 + 2*T1^10*T2^6 - T1^11*T2^6 + 2*T1^12*T2^6 - 
      4*T1^13*T2^6 + 4*T1^14*T2^6 - 4*T2^7 + 6*T1^2*T2^7 - 5*T1^3*T2^7 + 
      8*T1^6*T2^7 - 2*T1^7*T2^7 - 2*T1^8*T2^7 + 8*T1^9*T2^7 - 5*T1^12*T2^7 + 
      6*T1^13*T2^7 - 4*T1^15*T2^7 + 2*T2^8 + 4*T1*T2^8 - 5*T1^2*T2^8 - 
      2*T1^3*T2^8 + 6*T1^4*T2^8 - 2*T1^5*T2^8 - 6*T1^6*T2^8 - 2*T1^7*T2^8 - 
      2*T1^9*T2^8 - 6*T1^10*T2^8 - 2*T1^11*T2^8 + 6*T1^12*T2^8 - 
      2*T1^13*T2^8 - 5*T1^14*T2^8 + 4*T1^15*T2^8 + 2*T1^16*T2^8 - 4*T1*T2^9 + 
      6*T1^3*T2^9 - 5*T1^4*T2^9 + 8*T1^7*T2^9 - 2*T1^8*T2^9 - 2*T1^9*T2^9 + 
      8*T1^10*T2^9 - 5*T1^13*T2^9 + 6*T1^14*T2^9 - 4*T1^16*T2^9 + 
      4*T1^2*T2^10 - 4*T1^3*T2^10 + 2*T1^4*T2^10 - T1^5*T2^10 + 
      2*T1^6*T2^10 - 6*T1^8*T2^10 + 8*T1^9*T2^10 - 6*T1^10*T2^10 + 
      2*T1^12*T2^10 - T1^13*T2^10 + 2*T1^14*T2^10 - 4*T1^15*T2^10 + 
      4*T1^16*T2^10 - 2*T1^3*T2^11 + T1^5*T2^11 - T1^6*T2^11 - 2*T1^8*T2^11 - 
      2*T1^11*T2^11 - T1^13*T2^11 + T1^14*T2^11 - 2*T1^16*T2^11 + 
      2*T1^4*T2^12 + 2*T1^6*T2^12 - 5*T1^7*T2^12 + 6*T1^8*T2^12 + 
      2*T1^10*T2^12 + 6*T1^12*T2^12 - 5*T1^13*T2^12 + 2*T1^14*T2^12 + 
      2*T1^16*T2^12 - 2*T1^5*T2^13 - 4*T1^6*T2^13 + 6*T1^7*T2^13 - 
      2*T1^8*T2^13 - 5*T1^9*T2^13 - T1^10*T2^13 - T1^11*T2^13 - 
      5*T1^12*T2^13 - 2*T1^13*T2^13 + 6*T1^14*T2^13 - 4*T1^15*T2^13 - 
      2*T1^16*T2^13 + 4*T1^6*T2^14 - 5*T1^8*T2^14 + 6*T1^9*T2^14 + 
      2*T1^10*T2^14 + T1^11*T2^14 + 2*T1^12*T2^14 + 6*T1^13*T2^14 - 
      5*T1^14*T2^14 + 4*T1^16*T2^14 - 4*T1^7*T2^15 + 4*T1^8*T2^15 - 
      4*T1^10*T2^15 - 4*T1^13*T2^15 + 4*T1^15*T2^15 - 4*T1^16*T2^15 + 
      2*T1^8*T2^16 - 4*T1^9*T2^16 + 4*T1^10*T2^16 - 2*T1^11*T2^16 + 
      2*T1^12*T2^16 - 2*T1^13*T2^16 + 4*T1^14*T2^16 - 4*T1^15*T2^16 + 
      2*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, NonAlternating, 236] -> 
  {(2 - 5*T + 10*T^2 - 13*T^3 + 10*T^4 - 5*T^5 + 2*T^6)/T^3, 
   -((9 - 22*T1 + 44*T1^2 - 57*T1^3 + 44*T1^4 - 22*T1^5 + 9*T1^6 - 22*T2 + 
      32*T1*T2 - 54*T1^2*T2 + 32*T1^3*T2 + 32*T1^4*T2 - 54*T1^5*T2 + 
      32*T1^6*T2 - 22*T1^7*T2 + 44*T2^2 - 54*T1*T2^2 + 167*T1^2*T2^2 - 
      202*T1^3*T2^2 + 179*T1^4*T2^2 - 202*T1^5*T2^2 + 167*T1^6*T2^2 - 
      54*T1^7*T2^2 + 44*T1^8*T2^2 - 57*T2^3 + 32*T1*T2^3 - 202*T1^2*T2^3 + 
      116*T1^3*T2^3 - 2*T1^4*T2^3 - 2*T1^5*T2^3 + 116*T1^6*T2^3 - 
      202*T1^7*T2^3 + 32*T1^8*T2^3 - 57*T1^9*T2^3 + 44*T2^4 + 32*T1*T2^4 + 
      179*T1^2*T2^4 - 2*T1^3*T2^4 + 68*T1^4*T2^4 - 226*T1^5*T2^4 + 
      68*T1^6*T2^4 - 2*T1^7*T2^4 + 179*T1^8*T2^4 + 32*T1^9*T2^4 + 
      44*T1^10*T2^4 - 22*T2^5 - 54*T1*T2^5 - 202*T1^2*T2^5 - 2*T1^3*T2^5 - 
      226*T1^4*T2^5 + 208*T1^5*T2^5 + 208*T1^6*T2^5 - 226*T1^7*T2^5 - 
      2*T1^8*T2^5 - 202*T1^9*T2^5 - 54*T1^10*T2^5 - 22*T1^11*T2^5 + 9*T2^6 + 
      32*T1*T2^6 + 167*T1^2*T2^6 + 116*T1^3*T2^6 + 68*T1^4*T2^6 + 
      208*T1^5*T2^6 - 528*T1^6*T2^6 + 208*T1^7*T2^6 + 68*T1^8*T2^6 + 
      116*T1^9*T2^6 + 167*T1^10*T2^6 + 32*T1^11*T2^6 + 9*T1^12*T2^6 - 
      22*T1*T2^7 - 54*T1^2*T2^7 - 202*T1^3*T2^7 - 2*T1^4*T2^7 - 
      226*T1^5*T2^7 + 208*T1^6*T2^7 + 208*T1^7*T2^7 - 226*T1^8*T2^7 - 
      2*T1^9*T2^7 - 202*T1^10*T2^7 - 54*T1^11*T2^7 - 22*T1^12*T2^7 + 
      44*T1^2*T2^8 + 32*T1^3*T2^8 + 179*T1^4*T2^8 - 2*T1^5*T2^8 + 
      68*T1^6*T2^8 - 226*T1^7*T2^8 + 68*T1^8*T2^8 - 2*T1^9*T2^8 + 
      179*T1^10*T2^8 + 32*T1^11*T2^8 + 44*T1^12*T2^8 - 57*T1^3*T2^9 + 
      32*T1^4*T2^9 - 202*T1^5*T2^9 + 116*T1^6*T2^9 - 2*T1^7*T2^9 - 
      2*T1^8*T2^9 + 116*T1^9*T2^9 - 202*T1^10*T2^9 + 32*T1^11*T2^9 - 
      57*T1^12*T2^9 + 44*T1^4*T2^10 - 54*T1^5*T2^10 + 167*T1^6*T2^10 - 
      202*T1^7*T2^10 + 179*T1^8*T2^10 - 202*T1^9*T2^10 + 167*T1^10*T2^10 - 
      54*T1^11*T2^10 + 44*T1^12*T2^10 - 22*T1^5*T2^11 + 32*T1^6*T2^11 - 
      54*T1^7*T2^11 + 32*T1^8*T2^11 + 32*T1^9*T2^11 - 54*T1^10*T2^11 + 
      32*T1^11*T2^11 - 22*T1^12*T2^11 + 9*T1^6*T2^12 - 22*T1^7*T2^12 + 
      44*T1^8*T2^12 - 57*T1^9*T2^12 + 44*T1^10*T2^12 - 22*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 237] -> 
  {-((2 - 9*T + 16*T^2 - 19*T^3 + 16*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((17 - 76*T1 + 134*T1^2 - 159*T1^3 + 134*T1^4 - 76*T1^5 + 17*T1^6 - 
      76*T2 + 264*T1*T2 - 252*T1^2*T2 + 108*T1^3*T2 + 108*T1^4*T2 - 
      252*T1^5*T2 + 264*T1^6*T2 - 76*T1^7*T2 + 134*T2^2 - 252*T1*T2^2 - 
      384*T1^2*T2^2 + 904*T1^3*T2^2 - 1154*T1^4*T2^2 + 904*T1^5*T2^2 - 
      384*T1^6*T2^2 - 252*T1^7*T2^2 + 134*T1^8*T2^2 - 159*T2^3 + 
      108*T1*T2^3 + 904*T1^2*T2^3 - 820*T1^3*T2^3 + 389*T1^4*T2^3 + 
      389*T1^5*T2^3 - 820*T1^6*T2^3 + 904*T1^7*T2^3 + 108*T1^8*T2^3 - 
      159*T1^9*T2^3 + 134*T2^4 + 108*T1*T2^4 - 1154*T1^2*T2^4 + 
      389*T1^3*T2^4 - 103*T1^4*T2^4 - 213*T1^5*T2^4 - 103*T1^6*T2^4 + 
      389*T1^7*T2^4 - 1154*T1^8*T2^4 + 108*T1^9*T2^4 + 134*T1^10*T2^4 - 
      76*T2^5 - 252*T1*T2^5 + 904*T1^2*T2^5 + 389*T1^3*T2^5 - 213*T1^4*T2^5 + 
      242*T1^5*T2^5 + 242*T1^6*T2^5 - 213*T1^7*T2^5 + 389*T1^8*T2^5 + 
      904*T1^9*T2^5 - 252*T1^10*T2^5 - 76*T1^11*T2^5 + 17*T2^6 + 
      264*T1*T2^6 - 384*T1^2*T2^6 - 820*T1^3*T2^6 - 103*T1^4*T2^6 + 
      242*T1^5*T2^6 - 624*T1^6*T2^6 + 242*T1^7*T2^6 - 103*T1^8*T2^6 - 
      820*T1^9*T2^6 - 384*T1^10*T2^6 + 264*T1^11*T2^6 + 17*T1^12*T2^6 - 
      76*T1*T2^7 - 252*T1^2*T2^7 + 904*T1^3*T2^7 + 389*T1^4*T2^7 - 
      213*T1^5*T2^7 + 242*T1^6*T2^7 + 242*T1^7*T2^7 - 213*T1^8*T2^7 + 
      389*T1^9*T2^7 + 904*T1^10*T2^7 - 252*T1^11*T2^7 - 76*T1^12*T2^7 + 
      134*T1^2*T2^8 + 108*T1^3*T2^8 - 1154*T1^4*T2^8 + 389*T1^5*T2^8 - 
      103*T1^6*T2^8 - 213*T1^7*T2^8 - 103*T1^8*T2^8 + 389*T1^9*T2^8 - 
      1154*T1^10*T2^8 + 108*T1^11*T2^8 + 134*T1^12*T2^8 - 159*T1^3*T2^9 + 
      108*T1^4*T2^9 + 904*T1^5*T2^9 - 820*T1^6*T2^9 + 389*T1^7*T2^9 + 
      389*T1^8*T2^9 - 820*T1^9*T2^9 + 904*T1^10*T2^9 + 108*T1^11*T2^9 - 
      159*T1^12*T2^9 + 134*T1^4*T2^10 - 252*T1^5*T2^10 - 384*T1^6*T2^10 + 
      904*T1^7*T2^10 - 1154*T1^8*T2^10 + 904*T1^9*T2^10 - 384*T1^10*T2^10 - 
      252*T1^11*T2^10 + 134*T1^12*T2^10 - 76*T1^5*T2^11 + 264*T1^6*T2^11 - 
      252*T1^7*T2^11 + 108*T1^8*T2^11 + 108*T1^9*T2^11 - 252*T1^10*T2^11 + 
      264*T1^11*T2^11 - 76*T1^12*T2^11 + 17*T1^6*T2^12 - 76*T1^7*T2^12 + 
      134*T1^8*T2^12 - 159*T1^9*T2^12 + 134*T1^10*T2^12 - 76*T1^11*T2^12 + 
      17*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 238] -> 
  {(2 - 5*T + 6*T^2 - 5*T^3 + 6*T^4 - 5*T^5 + 2*T^6)/T^3, 
   -((9 - 22*T1 + 26*T1^2 - 21*T1^3 + 26*T1^4 - 22*T1^5 + 9*T1^6 - 22*T2 + 
      32*T1*T2 - 10*T1^2*T2 - 12*T1^3*T2 - 12*T1^4*T2 - 10*T1^5*T2 + 
      32*T1^6*T2 - 22*T1^7*T2 + 26*T2^2 - 10*T1*T2^2 - 39*T1^2*T2^2 + 
      56*T1^3*T2^2 - 13*T1^4*T2^2 + 56*T1^5*T2^2 - 39*T1^6*T2^2 - 
      10*T1^7*T2^2 + 26*T1^8*T2^2 - 21*T2^3 - 12*T1*T2^3 + 56*T1^2*T2^3 - 
      38*T1^3*T2^3 - 16*T1^4*T2^3 - 16*T1^5*T2^3 - 38*T1^6*T2^3 + 
      56*T1^7*T2^3 - 12*T1^8*T2^3 - 21*T1^9*T2^3 + 26*T2^4 - 12*T1*T2^4 - 
      13*T1^2*T2^4 - 16*T1^3*T2^4 + 26*T1^4*T2^4 + 6*T1^5*T2^4 + 
      26*T1^6*T2^4 - 16*T1^7*T2^4 - 13*T1^8*T2^4 - 12*T1^9*T2^4 + 
      26*T1^10*T2^4 - 22*T2^5 - 10*T1*T2^5 + 56*T1^2*T2^5 - 16*T1^3*T2^5 + 
      6*T1^4*T2^5 - 2*T1^5*T2^5 - 2*T1^6*T2^5 + 6*T1^7*T2^5 - 16*T1^8*T2^5 + 
      56*T1^9*T2^5 - 10*T1^10*T2^5 - 22*T1^11*T2^5 + 9*T2^6 + 32*T1*T2^6 - 
      39*T1^2*T2^6 - 38*T1^3*T2^6 + 26*T1^4*T2^6 - 2*T1^5*T2^6 - 
      24*T1^6*T2^6 - 2*T1^7*T2^6 + 26*T1^8*T2^6 - 38*T1^9*T2^6 - 
      39*T1^10*T2^6 + 32*T1^11*T2^6 + 9*T1^12*T2^6 - 22*T1*T2^7 - 
      10*T1^2*T2^7 + 56*T1^3*T2^7 - 16*T1^4*T2^7 + 6*T1^5*T2^7 - 
      2*T1^6*T2^7 - 2*T1^7*T2^7 + 6*T1^8*T2^7 - 16*T1^9*T2^7 + 
      56*T1^10*T2^7 - 10*T1^11*T2^7 - 22*T1^12*T2^7 + 26*T1^2*T2^8 - 
      12*T1^3*T2^8 - 13*T1^4*T2^8 - 16*T1^5*T2^8 + 26*T1^6*T2^8 + 
      6*T1^7*T2^8 + 26*T1^8*T2^8 - 16*T1^9*T2^8 - 13*T1^10*T2^8 - 
      12*T1^11*T2^8 + 26*T1^12*T2^8 - 21*T1^3*T2^9 - 12*T1^4*T2^9 + 
      56*T1^5*T2^9 - 38*T1^6*T2^9 - 16*T1^7*T2^9 - 16*T1^8*T2^9 - 
      38*T1^9*T2^9 + 56*T1^10*T2^9 - 12*T1^11*T2^9 - 21*T1^12*T2^9 + 
      26*T1^4*T2^10 - 10*T1^5*T2^10 - 39*T1^6*T2^10 + 56*T1^7*T2^10 - 
      13*T1^8*T2^10 + 56*T1^9*T2^10 - 39*T1^10*T2^10 - 10*T1^11*T2^10 + 
      26*T1^12*T2^10 - 22*T1^5*T2^11 + 32*T1^6*T2^11 - 10*T1^7*T2^11 - 
      12*T1^8*T2^11 - 12*T1^9*T2^11 - 10*T1^10*T2^11 + 32*T1^11*T2^11 - 
      22*T1^12*T2^11 + 9*T1^6*T2^12 - 22*T1^7*T2^12 + 26*T1^8*T2^12 - 
      21*T1^9*T2^12 + 26*T1^10*T2^12 - 22*T1^11*T2^12 + 9*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, NonAlternating, 239] -> 
  {(2 - 5*T + 9*T^2 - 11*T^3 + 9*T^4 - 5*T^5 + 2*T^6)/T^3, 
   -((9 - 22*T1 + 40*T1^2 - 49*T1^3 + 40*T1^4 - 22*T1^5 + 9*T1^6 - 22*T2 + 
      32*T1*T2 - 44*T1^2*T2 + 22*T1^3*T2 + 22*T1^4*T2 - 44*T1^5*T2 + 
      32*T1^6*T2 - 22*T1^7*T2 + 40*T2^2 - 44*T1*T2^2 + 113*T1^2*T2^2 - 
      137*T1^3*T2^2 + 139*T1^4*T2^2 - 137*T1^5*T2^2 + 113*T1^6*T2^2 - 
      44*T1^7*T2^2 + 40*T1^8*T2^2 - 49*T2^3 + 22*T1*T2^3 - 137*T1^2*T2^3 + 
      96*T1^3*T2^3 - 35*T1^4*T2^3 - 35*T1^5*T2^3 + 96*T1^6*T2^3 - 
      137*T1^7*T2^3 + 22*T1^8*T2^3 - 49*T1^9*T2^3 + 40*T2^4 + 22*T1*T2^4 + 
      139*T1^2*T2^4 - 35*T1^3*T2^4 + 56*T1^4*T2^4 - 64*T1^5*T2^4 + 
      56*T1^6*T2^4 - 35*T1^7*T2^4 + 139*T1^8*T2^4 + 22*T1^9*T2^4 + 
      40*T1^10*T2^4 - 22*T2^5 - 44*T1*T2^5 - 137*T1^2*T2^5 - 35*T1^3*T2^5 - 
      64*T1^4*T2^5 + 30*T1^5*T2^5 + 30*T1^6*T2^5 - 64*T1^7*T2^5 - 
      35*T1^8*T2^5 - 137*T1^9*T2^5 - 44*T1^10*T2^5 - 22*T1^11*T2^5 + 9*T2^6 + 
      32*T1*T2^6 + 113*T1^2*T2^6 + 96*T1^3*T2^6 + 56*T1^4*T2^6 + 
      30*T1^5*T2^6 - 60*T1^6*T2^6 + 30*T1^7*T2^6 + 56*T1^8*T2^6 + 
      96*T1^9*T2^6 + 113*T1^10*T2^6 + 32*T1^11*T2^6 + 9*T1^12*T2^6 - 
      22*T1*T2^7 - 44*T1^2*T2^7 - 137*T1^3*T2^7 - 35*T1^4*T2^7 - 
      64*T1^5*T2^7 + 30*T1^6*T2^7 + 30*T1^7*T2^7 - 64*T1^8*T2^7 - 
      35*T1^9*T2^7 - 137*T1^10*T2^7 - 44*T1^11*T2^7 - 22*T1^12*T2^7 + 
      40*T1^2*T2^8 + 22*T1^3*T2^8 + 139*T1^4*T2^8 - 35*T1^5*T2^8 + 
      56*T1^6*T2^8 - 64*T1^7*T2^8 + 56*T1^8*T2^8 - 35*T1^9*T2^8 + 
      139*T1^10*T2^8 + 22*T1^11*T2^8 + 40*T1^12*T2^8 - 49*T1^3*T2^9 + 
      22*T1^4*T2^9 - 137*T1^5*T2^9 + 96*T1^6*T2^9 - 35*T1^7*T2^9 - 
      35*T1^8*T2^9 + 96*T1^9*T2^9 - 137*T1^10*T2^9 + 22*T1^11*T2^9 - 
      49*T1^12*T2^9 + 40*T1^4*T2^10 - 44*T1^5*T2^10 + 113*T1^6*T2^10 - 
      137*T1^7*T2^10 + 139*T1^8*T2^10 - 137*T1^9*T2^10 + 113*T1^10*T2^10 - 
      44*T1^11*T2^10 + 40*T1^12*T2^10 - 22*T1^5*T2^11 + 32*T1^6*T2^11 - 
      44*T1^7*T2^11 + 22*T1^8*T2^11 + 22*T1^9*T2^11 - 44*T1^10*T2^11 + 
      32*T1^11*T2^11 - 22*T1^12*T2^11 + 9*T1^6*T2^12 - 22*T1^7*T2^12 + 
      40*T1^8*T2^12 - 49*T1^9*T2^12 + 40*T1^10*T2^12 - 22*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 240] -> 
  {-(((2 - 3*T + 2*T^2)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^3), 
   -((17 - 76*T1 + 142*T1^2 - 175*T1^3 + 142*T1^4 - 76*T1^5 + 17*T1^6 - 
      76*T2 + 264*T1*T2 - 292*T1^2*T2 + 148*T1^3*T2 + 148*T1^4*T2 - 
      292*T1^5*T2 + 264*T1^6*T2 - 76*T1^7*T2 + 142*T2^2 - 292*T1*T2^2 - 
      224*T1^2*T2^2 + 800*T1^3*T2^2 - 1216*T1^4*T2^2 + 800*T1^5*T2^2 - 
      224*T1^6*T2^2 - 292*T1^7*T2^2 + 142*T1^8*T2^2 - 175*T2^3 + 
      148*T1*T2^3 + 800*T1^2*T2^3 - 940*T1^3*T2^3 + 631*T1^4*T2^3 + 
      631*T1^5*T2^3 - 940*T1^6*T2^3 + 800*T1^7*T2^3 + 148*T1^8*T2^3 - 
      175*T1^9*T2^3 + 142*T2^4 + 148*T1*T2^4 - 1216*T1^2*T2^4 + 
      631*T1^3*T2^4 - 177*T1^4*T2^4 - 749*T1^5*T2^4 - 177*T1^6*T2^4 + 
      631*T1^7*T2^4 - 1216*T1^8*T2^4 + 148*T1^9*T2^4 + 142*T1^10*T2^4 - 
      76*T2^5 - 292*T1*T2^5 + 800*T1^2*T2^5 + 631*T1^3*T2^5 - 749*T1^4*T2^5 + 
      872*T1^5*T2^5 + 872*T1^6*T2^5 - 749*T1^7*T2^5 + 631*T1^8*T2^5 + 
      800*T1^9*T2^5 - 292*T1^10*T2^5 - 76*T1^11*T2^5 + 17*T2^6 + 
      264*T1*T2^6 - 224*T1^2*T2^6 - 940*T1^3*T2^6 - 177*T1^4*T2^6 + 
      872*T1^5*T2^6 - 2268*T1^6*T2^6 + 872*T1^7*T2^6 - 177*T1^8*T2^6 - 
      940*T1^9*T2^6 - 224*T1^10*T2^6 + 264*T1^11*T2^6 + 17*T1^12*T2^6 - 
      76*T1*T2^7 - 292*T1^2*T2^7 + 800*T1^3*T2^7 + 631*T1^4*T2^7 - 
      749*T1^5*T2^7 + 872*T1^6*T2^7 + 872*T1^7*T2^7 - 749*T1^8*T2^7 + 
      631*T1^9*T2^7 + 800*T1^10*T2^7 - 292*T1^11*T2^7 - 76*T1^12*T2^7 + 
      142*T1^2*T2^8 + 148*T1^3*T2^8 - 1216*T1^4*T2^8 + 631*T1^5*T2^8 - 
      177*T1^6*T2^8 - 749*T1^7*T2^8 - 177*T1^8*T2^8 + 631*T1^9*T2^8 - 
      1216*T1^10*T2^8 + 148*T1^11*T2^8 + 142*T1^12*T2^8 - 175*T1^3*T2^9 + 
      148*T1^4*T2^9 + 800*T1^5*T2^9 - 940*T1^6*T2^9 + 631*T1^7*T2^9 + 
      631*T1^8*T2^9 - 940*T1^9*T2^9 + 800*T1^10*T2^9 + 148*T1^11*T2^9 - 
      175*T1^12*T2^9 + 142*T1^4*T2^10 - 292*T1^5*T2^10 - 224*T1^6*T2^10 + 
      800*T1^7*T2^10 - 1216*T1^8*T2^10 + 800*T1^9*T2^10 - 224*T1^10*T2^10 - 
      292*T1^11*T2^10 + 142*T1^12*T2^10 - 76*T1^5*T2^11 + 264*T1^6*T2^11 - 
      292*T1^7*T2^11 + 148*T1^8*T2^11 + 148*T1^9*T2^11 - 292*T1^10*T2^11 + 
      264*T1^11*T2^11 - 76*T1^12*T2^11 + 17*T1^6*T2^12 - 76*T1^7*T2^12 + 
      142*T1^8*T2^12 - 175*T1^9*T2^12 + 142*T1^10*T2^12 - 76*T1^11*T2^12 + 
      17*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 241] -> 
  {(2 - 7*T + 13*T^2 - 15*T^3 + 13*T^4 - 7*T^5 + 2*T^6)/T^3, 
   -((9 - 30*T1 + 54*T1^2 - 61*T1^3 + 54*T1^4 - 30*T1^5 + 9*T1^6 - 30*T2 + 
      74*T1*T2 - 86*T1^2*T2 + 28*T1^3*T2 + 28*T1^4*T2 - 86*T1^5*T2 + 
      74*T1^6*T2 - 30*T1^7*T2 + 54*T2^2 - 86*T1*T2^2 + 16*T1^2*T2^2 + 
      134*T1^3*T2^2 - 158*T1^4*T2^2 + 134*T1^5*T2^2 + 16*T1^6*T2^2 - 
      86*T1^7*T2^2 + 54*T1^8*T2^2 - 61*T2^3 + 28*T1*T2^3 + 134*T1^2*T2^3 - 
      248*T1^3*T2^3 + 77*T1^4*T2^3 + 77*T1^5*T2^3 - 248*T1^6*T2^3 + 
      134*T1^7*T2^3 + 28*T1^8*T2^3 - 61*T1^9*T2^3 + 54*T2^4 + 28*T1*T2^4 - 
      158*T1^2*T2^4 + 77*T1^3*T2^4 + 234*T1^4*T2^4 - 290*T1^5*T2^4 + 
      234*T1^6*T2^4 + 77*T1^7*T2^4 - 158*T1^8*T2^4 + 28*T1^9*T2^4 + 
      54*T1^10*T2^4 - 30*T2^5 - 86*T1*T2^5 + 134*T1^2*T2^5 + 77*T1^3*T2^5 - 
      290*T1^4*T2^5 + 102*T1^5*T2^5 + 102*T1^6*T2^5 - 290*T1^7*T2^5 + 
      77*T1^8*T2^5 + 134*T1^9*T2^5 - 86*T1^10*T2^5 - 30*T1^11*T2^5 + 9*T2^6 + 
      74*T1*T2^6 + 16*T1^2*T2^6 - 248*T1^3*T2^6 + 234*T1^4*T2^6 + 
      102*T1^5*T2^6 - 192*T1^6*T2^6 + 102*T1^7*T2^6 + 234*T1^8*T2^6 - 
      248*T1^9*T2^6 + 16*T1^10*T2^6 + 74*T1^11*T2^6 + 9*T1^12*T2^6 - 
      30*T1*T2^7 - 86*T1^2*T2^7 + 134*T1^3*T2^7 + 77*T1^4*T2^7 - 
      290*T1^5*T2^7 + 102*T1^6*T2^7 + 102*T1^7*T2^7 - 290*T1^8*T2^7 + 
      77*T1^9*T2^7 + 134*T1^10*T2^7 - 86*T1^11*T2^7 - 30*T1^12*T2^7 + 
      54*T1^2*T2^8 + 28*T1^3*T2^8 - 158*T1^4*T2^8 + 77*T1^5*T2^8 + 
      234*T1^6*T2^8 - 290*T1^7*T2^8 + 234*T1^8*T2^8 + 77*T1^9*T2^8 - 
      158*T1^10*T2^8 + 28*T1^11*T2^8 + 54*T1^12*T2^8 - 61*T1^3*T2^9 + 
      28*T1^4*T2^9 + 134*T1^5*T2^9 - 248*T1^6*T2^9 + 77*T1^7*T2^9 + 
      77*T1^8*T2^9 - 248*T1^9*T2^9 + 134*T1^10*T2^9 + 28*T1^11*T2^9 - 
      61*T1^12*T2^9 + 54*T1^4*T2^10 - 86*T1^5*T2^10 + 16*T1^6*T2^10 + 
      134*T1^7*T2^10 - 158*T1^8*T2^10 + 134*T1^9*T2^10 + 16*T1^10*T2^10 - 
      86*T1^11*T2^10 + 54*T1^12*T2^10 - 30*T1^5*T2^11 + 74*T1^6*T2^11 - 
      86*T1^7*T2^11 + 28*T1^8*T2^11 + 28*T1^9*T2^11 - 86*T1^10*T2^11 + 
      74*T1^11*T2^11 - 30*T1^12*T2^11 + 9*T1^6*T2^12 - 30*T1^7*T2^12 + 
      54*T1^8*T2^12 - 61*T1^9*T2^12 + 54*T1^10*T2^12 - 30*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 242] -> 
  {(1 - T + T^3 - T^4 + T^5 - T^6 + T^7 - T^9 + T^10)/T^5, 
   (5 - 5*T1 + 5*T1^3 - 5*T1^4 + 5*T1^5 - 5*T1^6 + 5*T1^7 - 5*T1^9 + 
     5*T1^10 - 5*T2 + 5*T1^2*T2 - 5*T1^3*T2 - 5*T1^8*T2 + 5*T1^9*T2 - 
     5*T1^11*T2 + 5*T1*T2^2 - 5*T1^2*T2^2 + 5*T1^4*T2^2 - 5*T1^5*T2^2 + 
     5*T1^6*T2^2 - 5*T1^7*T2^2 + 5*T1^8*T2^2 - 5*T1^10*T2^2 + 5*T1^11*T2^2 + 
     5*T2^3 - 5*T1*T2^3 + 8*T1^3*T2^3 - 8*T1^4*T2^3 + 4*T1^5*T2^3 + 
     4*T1^8*T2^3 - 8*T1^9*T2^3 + 8*T1^10*T2^3 - 5*T1^12*T2^3 + 5*T1^13*T2^3 - 
     5*T2^4 + 5*T1^2*T2^4 - 8*T1^3*T2^4 + 4*T1^5*T2^4 - 4*T1^6*T2^4 - 
     4*T1^8*T2^4 + 4*T1^9*T2^4 - 8*T1^11*T2^4 + 5*T1^12*T2^4 - 5*T1^14*T2^4 + 
     5*T2^5 - 5*T1^2*T2^5 + 4*T1^3*T2^5 + 4*T1^4*T2^5 - 2*T1^5*T2^5 - 
     2*T1^6*T2^5 + 3*T1^7*T2^5 + 3*T1^8*T2^5 - 2*T1^9*T2^5 - 2*T1^10*T2^5 + 
     4*T1^11*T2^5 + 4*T1^12*T2^5 - 5*T1^13*T2^5 + 5*T1^15*T2^5 - 5*T2^6 + 
     5*T1^2*T2^6 - 4*T1^4*T2^6 - 2*T1^5*T2^6 + 4*T1^6*T2^6 - T1^7*T2^6 - 
     2*T1^8*T2^6 - T1^9*T2^6 + 4*T1^10*T2^6 - 2*T1^11*T2^6 - 4*T1^12*T2^6 + 
     5*T1^14*T2^6 - 5*T1^16*T2^6 + 5*T2^7 - 5*T1^2*T2^7 + 3*T1^5*T2^7 - 
     T1^6*T2^7 - 2*T1^7*T2^7 + T1^8*T2^7 + T1^9*T2^7 - 2*T1^10*T2^7 - 
     T1^11*T2^7 + 3*T1^12*T2^7 - 5*T1^15*T2^7 + 5*T1^17*T2^7 - 5*T1*T2^8 + 
     5*T1^2*T2^8 + 4*T1^3*T2^8 - 4*T1^4*T2^8 + 3*T1^5*T2^8 - 2*T1^6*T2^8 + 
     T1^7*T2^8 + 2*T1^8*T2^8 - 2*T1^9*T2^8 + 2*T1^10*T2^8 + T1^11*T2^8 - 
     2*T1^12*T2^8 + 3*T1^13*T2^8 - 4*T1^14*T2^8 + 4*T1^15*T2^8 + 
     5*T1^16*T2^8 - 5*T1^17*T2^8 - 5*T2^9 + 5*T1*T2^9 - 8*T1^3*T2^9 + 
     4*T1^4*T2^9 - 2*T1^5*T2^9 - T1^6*T2^9 + T1^7*T2^9 - 2*T1^8*T2^9 - 
     2*T1^11*T2^9 + T1^12*T2^9 - T1^13*T2^9 - 2*T1^14*T2^9 + 4*T1^15*T2^9 - 
     8*T1^16*T2^9 + 5*T1^18*T2^9 - 5*T1^19*T2^9 + 5*T2^10 - 5*T1^2*T2^10 + 
     8*T1^3*T2^10 - 2*T1^5*T2^10 + 4*T1^6*T2^10 - 2*T1^7*T2^10 + 
     2*T1^8*T2^10 + 2*T1^12*T2^10 - 2*T1^13*T2^10 + 4*T1^14*T2^10 - 
     2*T1^15*T2^10 + 8*T1^17*T2^10 - 5*T1^18*T2^10 + 5*T1^20*T2^10 - 
     5*T1*T2^11 + 5*T1^2*T2^11 - 8*T1^4*T2^11 + 4*T1^5*T2^11 - 2*T1^6*T2^11 - 
     T1^7*T2^11 + T1^8*T2^11 - 2*T1^9*T2^11 - 2*T1^12*T2^11 + T1^13*T2^11 - 
     T1^14*T2^11 - 2*T1^15*T2^11 + 4*T1^16*T2^11 - 8*T1^17*T2^11 + 
     5*T1^19*T2^11 - 5*T1^20*T2^11 - 5*T1^3*T2^12 + 5*T1^4*T2^12 + 
     4*T1^5*T2^12 - 4*T1^6*T2^12 + 3*T1^7*T2^12 - 2*T1^8*T2^12 + T1^9*T2^12 + 
     2*T1^10*T2^12 - 2*T1^11*T2^12 + 2*T1^12*T2^12 + T1^13*T2^12 - 
     2*T1^14*T2^12 + 3*T1^15*T2^12 - 4*T1^16*T2^12 + 4*T1^17*T2^12 + 
     5*T1^18*T2^12 - 5*T1^19*T2^12 + 5*T1^3*T2^13 - 5*T1^5*T2^13 + 
     3*T1^8*T2^13 - T1^9*T2^13 - 2*T1^10*T2^13 + T1^11*T2^13 + T1^12*T2^13 - 
     2*T1^13*T2^13 - T1^14*T2^13 + 3*T1^15*T2^13 - 5*T1^18*T2^13 + 
     5*T1^20*T2^13 - 5*T1^4*T2^14 + 5*T1^6*T2^14 - 4*T1^8*T2^14 - 
     2*T1^9*T2^14 + 4*T1^10*T2^14 - T1^11*T2^14 - 2*T1^12*T2^14 - 
     T1^13*T2^14 + 4*T1^14*T2^14 - 2*T1^15*T2^14 - 4*T1^16*T2^14 + 
     5*T1^18*T2^14 - 5*T1^20*T2^14 + 5*T1^5*T2^15 - 5*T1^7*T2^15 + 
     4*T1^8*T2^15 + 4*T1^9*T2^15 - 2*T1^10*T2^15 - 2*T1^11*T2^15 + 
     3*T1^12*T2^15 + 3*T1^13*T2^15 - 2*T1^14*T2^15 - 2*T1^15*T2^15 + 
     4*T1^16*T2^15 + 4*T1^17*T2^15 - 5*T1^18*T2^15 + 5*T1^20*T2^15 - 
     5*T1^6*T2^16 + 5*T1^8*T2^16 - 8*T1^9*T2^16 + 4*T1^11*T2^16 - 
     4*T1^12*T2^16 - 4*T1^14*T2^16 + 4*T1^15*T2^16 - 8*T1^17*T2^16 + 
     5*T1^18*T2^16 - 5*T1^20*T2^16 + 5*T1^7*T2^17 - 5*T1^8*T2^17 + 
     8*T1^10*T2^17 - 8*T1^11*T2^17 + 4*T1^12*T2^17 + 4*T1^15*T2^17 - 
     8*T1^16*T2^17 + 8*T1^17*T2^17 - 5*T1^19*T2^17 + 5*T1^20*T2^17 + 
     5*T1^9*T2^18 - 5*T1^10*T2^18 + 5*T1^12*T2^18 - 5*T1^13*T2^18 + 
     5*T1^14*T2^18 - 5*T1^15*T2^18 + 5*T1^16*T2^18 - 5*T1^18*T2^18 + 
     5*T1^19*T2^18 - 5*T1^9*T2^19 + 5*T1^11*T2^19 - 5*T1^12*T2^19 - 
     5*T1^17*T2^19 + 5*T1^18*T2^19 - 5*T1^20*T2^19 + 5*T1^10*T2^20 - 
     5*T1^11*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 - 5*T1^19*T2^20 + 5*T1^20*T2^20)/
    (T1^10*T2^10)}, 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, 
   (33 - 49*T1 + 16*T1^2 + 33*T1^3 - 49*T1^4 + 33*T1^5 + 16*T1^6 - 49*T1^7 + 
     33*T1^8 - 49*T2 + 24*T1*T2 + 49*T1^2*T2 - 73*T1^3*T2 + 24*T1^4*T2 + 
     24*T1^5*T2 - 73*T1^6*T2 + 49*T1^7*T2 + 24*T1^8*T2 - 49*T1^9*T2 + 
     16*T2^2 + 49*T1*T2^2 - 85*T1^2*T2^2 + 28*T1^3*T2^2 + 57*T1^4*T2^2 - 
     77*T1^5*T2^2 + 57*T1^6*T2^2 + 28*T1^7*T2^2 - 85*T1^8*T2^2 + 
     49*T1^9*T2^2 + 16*T1^10*T2^2 + 33*T2^3 - 73*T1*T2^3 + 28*T1^2*T2^3 + 
     74*T1^3*T2^3 - 110*T1^4*T2^3 + 49*T1^5*T2^3 + 49*T1^6*T2^3 - 
     110*T1^7*T2^3 + 74*T1^8*T2^3 + 28*T1^9*T2^3 - 73*T1^10*T2^3 + 
     33*T1^11*T2^3 - 49*T2^4 + 24*T1*T2^4 + 57*T1^2*T2^4 - 110*T1^3*T2^4 + 
     40*T1^4*T2^4 + 63*T1^5*T2^4 - 122*T1^6*T2^4 + 63*T1^7*T2^4 + 
     40*T1^8*T2^4 - 110*T1^9*T2^4 + 57*T1^10*T2^4 + 24*T1^11*T2^4 - 
     49*T1^12*T2^4 + 33*T2^5 + 24*T1*T2^5 - 77*T1^2*T2^5 + 49*T1^3*T2^5 + 
     63*T1^4*T2^5 - 102*T1^5*T2^5 + 55*T1^6*T2^5 + 55*T1^7*T2^5 - 
     102*T1^8*T2^5 + 63*T1^9*T2^5 + 49*T1^10*T2^5 - 77*T1^11*T2^5 + 
     24*T1^12*T2^5 + 33*T1^13*T2^5 + 16*T2^6 - 73*T1*T2^6 + 57*T1^2*T2^6 + 
     49*T1^3*T2^6 - 122*T1^4*T2^6 + 55*T1^5*T2^6 + 58*T1^6*T2^6 - 
     114*T1^7*T2^6 + 58*T1^8*T2^6 + 55*T1^9*T2^6 - 122*T1^10*T2^6 + 
     49*T1^11*T2^6 + 57*T1^12*T2^6 - 73*T1^13*T2^6 + 16*T1^14*T2^6 - 
     49*T2^7 + 49*T1*T2^7 + 28*T1^2*T2^7 - 110*T1^3*T2^7 + 63*T1^4*T2^7 + 
     55*T1^5*T2^7 - 114*T1^6*T2^7 + 52*T1^7*T2^7 + 52*T1^8*T2^7 - 
     114*T1^9*T2^7 + 55*T1^10*T2^7 + 63*T1^11*T2^7 - 110*T1^12*T2^7 + 
     28*T1^13*T2^7 + 49*T1^14*T2^7 - 49*T1^15*T2^7 + 33*T2^8 + 24*T1*T2^8 - 
     85*T1^2*T2^8 + 74*T1^3*T2^8 + 40*T1^4*T2^8 - 102*T1^5*T2^8 + 
     58*T1^6*T2^8 + 52*T1^7*T2^8 - 96*T1^8*T2^8 + 52*T1^9*T2^8 + 
     58*T1^10*T2^8 - 102*T1^11*T2^8 + 40*T1^12*T2^8 + 74*T1^13*T2^8 - 
     85*T1^14*T2^8 + 24*T1^15*T2^8 + 33*T1^16*T2^8 - 49*T1*T2^9 + 
     49*T1^2*T2^9 + 28*T1^3*T2^9 - 110*T1^4*T2^9 + 63*T1^5*T2^9 + 
     55*T1^6*T2^9 - 114*T1^7*T2^9 + 52*T1^8*T2^9 + 52*T1^9*T2^9 - 
     114*T1^10*T2^9 + 55*T1^11*T2^9 + 63*T1^12*T2^9 - 110*T1^13*T2^9 + 
     28*T1^14*T2^9 + 49*T1^15*T2^9 - 49*T1^16*T2^9 + 16*T1^2*T2^10 - 
     73*T1^3*T2^10 + 57*T1^4*T2^10 + 49*T1^5*T2^10 - 122*T1^6*T2^10 + 
     55*T1^7*T2^10 + 58*T1^8*T2^10 - 114*T1^9*T2^10 + 58*T1^10*T2^10 + 
     55*T1^11*T2^10 - 122*T1^12*T2^10 + 49*T1^13*T2^10 + 57*T1^14*T2^10 - 
     73*T1^15*T2^10 + 16*T1^16*T2^10 + 33*T1^3*T2^11 + 24*T1^4*T2^11 - 
     77*T1^5*T2^11 + 49*T1^6*T2^11 + 63*T1^7*T2^11 - 102*T1^8*T2^11 + 
     55*T1^9*T2^11 + 55*T1^10*T2^11 - 102*T1^11*T2^11 + 63*T1^12*T2^11 + 
     49*T1^13*T2^11 - 77*T1^14*T2^11 + 24*T1^15*T2^11 + 33*T1^16*T2^11 - 
     49*T1^4*T2^12 + 24*T1^5*T2^12 + 57*T1^6*T2^12 - 110*T1^7*T2^12 + 
     40*T1^8*T2^12 + 63*T1^9*T2^12 - 122*T1^10*T2^12 + 63*T1^11*T2^12 + 
     40*T1^12*T2^12 - 110*T1^13*T2^12 + 57*T1^14*T2^12 + 24*T1^15*T2^12 - 
     49*T1^16*T2^12 + 33*T1^5*T2^13 - 73*T1^6*T2^13 + 28*T1^7*T2^13 + 
     74*T1^8*T2^13 - 110*T1^9*T2^13 + 49*T1^10*T2^13 + 49*T1^11*T2^13 - 
     110*T1^12*T2^13 + 74*T1^13*T2^13 + 28*T1^14*T2^13 - 73*T1^15*T2^13 + 
     33*T1^16*T2^13 + 16*T1^6*T2^14 + 49*T1^7*T2^14 - 85*T1^8*T2^14 + 
     28*T1^9*T2^14 + 57*T1^10*T2^14 - 77*T1^11*T2^14 + 57*T1^12*T2^14 + 
     28*T1^13*T2^14 - 85*T1^14*T2^14 + 49*T1^15*T2^14 + 16*T1^16*T2^14 - 
     49*T1^7*T2^15 + 24*T1^8*T2^15 + 49*T1^9*T2^15 - 73*T1^10*T2^15 + 
     24*T1^11*T2^15 + 24*T1^12*T2^15 - 73*T1^13*T2^15 + 49*T1^14*T2^15 + 
     24*T1^15*T2^15 - 49*T1^16*T2^15 + 33*T1^8*T2^16 - 49*T1^9*T2^16 + 
     16*T1^10*T2^16 + 33*T1^11*T2^16 - 49*T1^12*T2^16 + 33*T1^13*T2^16 + 
     16*T1^14*T2^16 - 49*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 
   (33 - 65*T1 + 64*T1^2 - 31*T1^3 + 15*T1^4 - 31*T1^5 + 64*T1^6 - 65*T1^7 + 
     33*T1^8 - 65*T2 + 64*T1*T2 + T1^2*T2 - 65*T1^3*T2 + 32*T1^4*T2 + 
     32*T1^5*T2 - 65*T1^6*T2 + T1^7*T2 + 64*T1^8*T2 - 65*T1^9*T2 + 64*T2^2 + 
     T1*T2^2 - 72*T1^2*T2^2 + 75*T1^3*T2^2 + 29*T1^4*T2^2 - 68*T1^5*T2^2 + 
     29*T1^6*T2^2 + 75*T1^7*T2^2 - 72*T1^8*T2^2 + T1^9*T2^2 + 64*T1^10*T2^2 - 
     31*T2^3 - 65*T1*T2^3 + 75*T1^2*T2^3 - 10*T1^3*T2^3 - 85*T1^4*T2^3 + 
     40*T1^5*T2^3 + 40*T1^6*T2^3 - 85*T1^7*T2^3 - 10*T1^8*T2^3 + 
     75*T1^9*T2^3 - 65*T1^10*T2^3 - 31*T1^11*T2^3 + 15*T2^4 + 32*T1*T2^4 + 
     29*T1^2*T2^4 - 85*T1^3*T2^4 + 88*T1^4*T2^4 + 13*T1^5*T2^4 - 
     52*T1^6*T2^4 + 13*T1^7*T2^4 + 88*T1^8*T2^4 - 85*T1^9*T2^4 + 
     29*T1^10*T2^4 + 32*T1^11*T2^4 + 15*T1^12*T2^4 - 31*T2^5 + 32*T1*T2^5 - 
     68*T1^2*T2^5 + 40*T1^3*T2^5 + 13*T1^4*T2^5 - 66*T1^5*T2^5 + 
     28*T1^6*T2^5 + 28*T1^7*T2^5 - 66*T1^8*T2^5 + 13*T1^9*T2^5 + 
     40*T1^10*T2^5 - 68*T1^11*T2^5 + 32*T1^12*T2^5 - 31*T1^13*T2^5 + 
     64*T2^6 - 65*T1*T2^6 + 29*T1^2*T2^6 + 40*T1^3*T2^6 - 52*T1^4*T2^6 + 
     28*T1^5*T2^6 + 25*T1^6*T2^6 - 33*T1^7*T2^6 + 25*T1^8*T2^6 + 
     28*T1^9*T2^6 - 52*T1^10*T2^6 + 40*T1^11*T2^6 + 29*T1^12*T2^6 - 
     65*T1^13*T2^6 + 64*T1^14*T2^6 - 65*T2^7 + T1*T2^7 + 75*T1^2*T2^7 - 
     85*T1^3*T2^7 + 13*T1^4*T2^7 + 28*T1^5*T2^7 - 33*T1^6*T2^7 + 
     2*T1^7*T2^7 + 2*T1^8*T2^7 - 33*T1^9*T2^7 + 28*T1^10*T2^7 + 
     13*T1^11*T2^7 - 85*T1^12*T2^7 + 75*T1^13*T2^7 + T1^14*T2^7 - 
     65*T1^15*T2^7 + 33*T2^8 + 64*T1*T2^8 - 72*T1^2*T2^8 - 10*T1^3*T2^8 + 
     88*T1^4*T2^8 - 66*T1^5*T2^8 + 25*T1^6*T2^8 + 2*T1^7*T2^8 + 
     12*T1^8*T2^8 + 2*T1^9*T2^8 + 25*T1^10*T2^8 - 66*T1^11*T2^8 + 
     88*T1^12*T2^8 - 10*T1^13*T2^8 - 72*T1^14*T2^8 + 64*T1^15*T2^8 + 
     33*T1^16*T2^8 - 65*T1*T2^9 + T1^2*T2^9 + 75*T1^3*T2^9 - 85*T1^4*T2^9 + 
     13*T1^5*T2^9 + 28*T1^6*T2^9 - 33*T1^7*T2^9 + 2*T1^8*T2^9 + 2*T1^9*T2^9 - 
     33*T1^10*T2^9 + 28*T1^11*T2^9 + 13*T1^12*T2^9 - 85*T1^13*T2^9 + 
     75*T1^14*T2^9 + T1^15*T2^9 - 65*T1^16*T2^9 + 64*T1^2*T2^10 - 
     65*T1^3*T2^10 + 29*T1^4*T2^10 + 40*T1^5*T2^10 - 52*T1^6*T2^10 + 
     28*T1^7*T2^10 + 25*T1^8*T2^10 - 33*T1^9*T2^10 + 25*T1^10*T2^10 + 
     28*T1^11*T2^10 - 52*T1^12*T2^10 + 40*T1^13*T2^10 + 29*T1^14*T2^10 - 
     65*T1^15*T2^10 + 64*T1^16*T2^10 - 31*T1^3*T2^11 + 32*T1^4*T2^11 - 
     68*T1^5*T2^11 + 40*T1^6*T2^11 + 13*T1^7*T2^11 - 66*T1^8*T2^11 + 
     28*T1^9*T2^11 + 28*T1^10*T2^11 - 66*T1^11*T2^11 + 13*T1^12*T2^11 + 
     40*T1^13*T2^11 - 68*T1^14*T2^11 + 32*T1^15*T2^11 - 31*T1^16*T2^11 + 
     15*T1^4*T2^12 + 32*T1^5*T2^12 + 29*T1^6*T2^12 - 85*T1^7*T2^12 + 
     88*T1^8*T2^12 + 13*T1^9*T2^12 - 52*T1^10*T2^12 + 13*T1^11*T2^12 + 
     88*T1^12*T2^12 - 85*T1^13*T2^12 + 29*T1^14*T2^12 + 32*T1^15*T2^12 + 
     15*T1^16*T2^12 - 31*T1^5*T2^13 - 65*T1^6*T2^13 + 75*T1^7*T2^13 - 
     10*T1^8*T2^13 - 85*T1^9*T2^13 + 40*T1^10*T2^13 + 40*T1^11*T2^13 - 
     85*T1^12*T2^13 - 10*T1^13*T2^13 + 75*T1^14*T2^13 - 65*T1^15*T2^13 - 
     31*T1^16*T2^13 + 64*T1^6*T2^14 + T1^7*T2^14 - 72*T1^8*T2^14 + 
     75*T1^9*T2^14 + 29*T1^10*T2^14 - 68*T1^11*T2^14 + 29*T1^12*T2^14 + 
     75*T1^13*T2^14 - 72*T1^14*T2^14 + T1^15*T2^14 + 64*T1^16*T2^14 - 
     65*T1^7*T2^15 + 64*T1^8*T2^15 + T1^9*T2^15 - 65*T1^10*T2^15 + 
     32*T1^11*T2^15 + 32*T1^12*T2^15 - 65*T1^13*T2^15 + T1^14*T2^15 + 
     64*T1^15*T2^15 - 65*T1^16*T2^15 + 33*T1^8*T2^16 - 65*T1^9*T2^16 + 
     64*T1^10*T2^16 - 31*T1^11*T2^16 + 15*T1^12*T2^16 - 31*T1^13*T2^16 + 
     64*T1^14*T2^16 - 65*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 245] -> 
  {(4 - 8*T + 6*T^2 - 3*T^3 + 6*T^4 - 8*T^5 + 4*T^6)/T^3, 
   (208 - 408*T1 + 296*T1^2 - 136*T1^3 + 296*T1^4 - 408*T1^5 + 208*T1^6 - 
     408*T2 + 396*T1*T2 + 216*T1^2*T2 - 312*T1^3*T2 - 312*T1^4*T2 + 
     216*T1^5*T2 + 396*T1^6*T2 - 408*T1^7*T2 + 296*T2^2 + 216*T1*T2^2 - 
     874*T1^2*T2^2 + 407*T1^3*T2^2 + 268*T1^4*T2^2 + 407*T1^5*T2^2 - 
     874*T1^6*T2^2 + 216*T1^7*T2^2 + 296*T1^8*T2^2 - 136*T2^3 - 312*T1*T2^3 + 
     407*T1^2*T2^3 + 224*T1^3*T2^3 - 357*T1^4*T2^3 - 357*T1^5*T2^3 + 
     224*T1^6*T2^3 + 407*T1^7*T2^3 - 312*T1^8*T2^3 - 136*T1^9*T2^3 + 
     296*T2^4 - 312*T1*T2^4 + 268*T1^2*T2^4 - 357*T1^3*T2^4 + 431*T1^4*T2^4 - 
     341*T1^5*T2^4 + 431*T1^6*T2^4 - 357*T1^7*T2^4 + 268*T1^8*T2^4 - 
     312*T1^9*T2^4 + 296*T1^10*T2^4 - 408*T2^5 + 216*T1*T2^5 + 
     407*T1^2*T2^5 - 357*T1^3*T2^5 - 341*T1^4*T2^5 + 284*T1^5*T2^5 + 
     284*T1^6*T2^5 - 341*T1^7*T2^5 - 357*T1^8*T2^5 + 407*T1^9*T2^5 + 
     216*T1^10*T2^5 - 408*T1^11*T2^5 + 208*T2^6 + 396*T1*T2^6 - 
     874*T1^2*T2^6 + 224*T1^3*T2^6 + 431*T1^4*T2^6 + 284*T1^5*T2^6 - 
     864*T1^6*T2^6 + 284*T1^7*T2^6 + 431*T1^8*T2^6 + 224*T1^9*T2^6 - 
     874*T1^10*T2^6 + 396*T1^11*T2^6 + 208*T1^12*T2^6 - 408*T1*T2^7 + 
     216*T1^2*T2^7 + 407*T1^3*T2^7 - 357*T1^4*T2^7 - 341*T1^5*T2^7 + 
     284*T1^6*T2^7 + 284*T1^7*T2^7 - 341*T1^8*T2^7 - 357*T1^9*T2^7 + 
     407*T1^10*T2^7 + 216*T1^11*T2^7 - 408*T1^12*T2^7 + 296*T1^2*T2^8 - 
     312*T1^3*T2^8 + 268*T1^4*T2^8 - 357*T1^5*T2^8 + 431*T1^6*T2^8 - 
     341*T1^7*T2^8 + 431*T1^8*T2^8 - 357*T1^9*T2^8 + 268*T1^10*T2^8 - 
     312*T1^11*T2^8 + 296*T1^12*T2^8 - 136*T1^3*T2^9 - 312*T1^4*T2^9 + 
     407*T1^5*T2^9 + 224*T1^6*T2^9 - 357*T1^7*T2^9 - 357*T1^8*T2^9 + 
     224*T1^9*T2^9 + 407*T1^10*T2^9 - 312*T1^11*T2^9 - 136*T1^12*T2^9 + 
     296*T1^4*T2^10 + 216*T1^5*T2^10 - 874*T1^6*T2^10 + 407*T1^7*T2^10 + 
     268*T1^8*T2^10 + 407*T1^9*T2^10 - 874*T1^10*T2^10 + 216*T1^11*T2^10 + 
     296*T1^12*T2^10 - 408*T1^5*T2^11 + 396*T1^6*T2^11 + 216*T1^7*T2^11 - 
     312*T1^8*T2^11 - 312*T1^9*T2^11 + 216*T1^10*T2^11 + 396*T1^11*T2^11 - 
     408*T1^12*T2^11 + 208*T1^6*T2^12 - 408*T1^7*T2^12 + 296*T1^8*T2^12 - 
     136*T1^9*T2^12 + 296*T1^10*T2^12 - 408*T1^11*T2^12 + 208*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 246] -> 
  {(5 - 17*T + 25*T^2 - 17*T^3 + 5*T^4)/T^2, 
   -((3*T1 - 2*T1^2 + 3*T1^3 + 3*T2 - 7*T1^2*T2 - 7*T1^3*T2 + 3*T1^5*T2 - 
      2*T2^2 - 7*T1*T2^2 - 67*T1^2*T2^2 + 141*T1^3*T2^2 - 67*T1^4*T2^2 - 
      7*T1^5*T2^2 - 2*T1^6*T2^2 + 3*T2^3 - 7*T1*T2^3 + 141*T1^2*T2^3 - 
      110*T1^3*T2^3 - 110*T1^4*T2^3 + 141*T1^5*T2^3 - 7*T1^6*T2^3 + 
      3*T1^7*T2^3 - 67*T1^2*T2^4 - 110*T1^3*T2^4 + 276*T1^4*T2^4 - 
      110*T1^5*T2^4 - 67*T1^6*T2^4 + 3*T1*T2^5 - 7*T1^2*T2^5 + 
      141*T1^3*T2^5 - 110*T1^4*T2^5 - 110*T1^5*T2^5 + 141*T1^6*T2^5 - 
      7*T1^7*T2^5 + 3*T1^8*T2^5 - 2*T1^2*T2^6 - 7*T1^3*T2^6 - 67*T1^4*T2^6 + 
      141*T1^5*T2^6 - 67*T1^6*T2^6 - 7*T1^7*T2^6 - 2*T1^8*T2^6 + 
      3*T1^3*T2^7 - 7*T1^5*T2^7 - 7*T1^6*T2^7 + 3*T1^8*T2^7 + 3*T1^5*T2^8 - 
      2*T1^6*T2^8 + 3*T1^7*T2^8)/(T1^4*T2^4))}, 
 Knot[12, NonAlternating, 247] -> 
  {-((3 - 13*T + 19*T^2 - 13*T^3 + 3*T^4)/T^2), 
   -((36 - 155*T1 + 224*T1^2 - 155*T1^3 + 36*T1^4 - 155*T2 + 522*T1*T2 - 
      293*T1^2*T2 - 293*T1^3*T2 + 522*T1^4*T2 - 155*T1^5*T2 + 224*T2^2 - 
      293*T1*T2^2 - 1374*T1^2*T2^2 + 2324*T1^3*T2^2 - 1374*T1^4*T2^2 - 
      293*T1^5*T2^2 + 224*T1^6*T2^2 - 155*T2^3 - 293*T1*T2^3 + 
      2324*T1^2*T2^3 - 1304*T1^3*T2^3 - 1304*T1^4*T2^3 + 2324*T1^5*T2^3 - 
      293*T1^6*T2^3 - 155*T1^7*T2^3 + 36*T2^4 + 522*T1*T2^4 - 
      1374*T1^2*T2^4 - 1304*T1^3*T2^4 + 2808*T1^4*T2^4 - 1304*T1^5*T2^4 - 
      1374*T1^6*T2^4 + 522*T1^7*T2^4 + 36*T1^8*T2^4 - 155*T1*T2^5 - 
      293*T1^2*T2^5 + 2324*T1^3*T2^5 - 1304*T1^4*T2^5 - 1304*T1^5*T2^5 + 
      2324*T1^6*T2^5 - 293*T1^7*T2^5 - 155*T1^8*T2^5 + 224*T1^2*T2^6 - 
      293*T1^3*T2^6 - 1374*T1^4*T2^6 + 2324*T1^5*T2^6 - 1374*T1^6*T2^6 - 
      293*T1^7*T2^6 + 224*T1^8*T2^6 - 155*T1^3*T2^7 + 522*T1^4*T2^7 - 
      293*T1^5*T2^7 - 293*T1^6*T2^7 + 522*T1^7*T2^7 - 155*T1^8*T2^7 + 
      36*T1^4*T2^8 - 155*T1^5*T2^8 + 224*T1^6*T2^8 - 155*T1^7*T2^8 + 
      36*T1^8*T2^8)/(T1^4*T2^4))}, Knot[12, NonAlternating, 248] -> 
  {(3 - 6*T + 7*T^2 - 6*T^3 + 3*T^4)/T^2, 
   -((9 - 18*T1 + 23*T1^2 - 18*T1^3 + 9*T1^4 - 18*T2 + 18*T1*T2 - 
      10*T1^2*T2 - 10*T1^3*T2 + 18*T1^4*T2 - 18*T1^5*T2 + 23*T2^2 - 
      10*T1*T2^2 + 118*T1^2*T2^2 - 186*T1^3*T2^2 + 118*T1^4*T2^2 - 
      10*T1^5*T2^2 + 23*T1^6*T2^2 - 18*T2^3 - 10*T1*T2^3 - 186*T1^2*T2^3 + 
      124*T1^3*T2^3 + 124*T1^4*T2^3 - 186*T1^5*T2^3 - 10*T1^6*T2^3 - 
      18*T1^7*T2^3 + 9*T2^4 + 18*T1*T2^4 + 118*T1^2*T2^4 + 124*T1^3*T2^4 - 
      300*T1^4*T2^4 + 124*T1^5*T2^4 + 118*T1^6*T2^4 + 18*T1^7*T2^4 + 
      9*T1^8*T2^4 - 18*T1*T2^5 - 10*T1^2*T2^5 - 186*T1^3*T2^5 + 
      124*T1^4*T2^5 + 124*T1^5*T2^5 - 186*T1^6*T2^5 - 10*T1^7*T2^5 - 
      18*T1^8*T2^5 + 23*T1^2*T2^6 - 10*T1^3*T2^6 + 118*T1^4*T2^6 - 
      186*T1^5*T2^6 + 118*T1^6*T2^6 - 10*T1^7*T2^6 + 23*T1^8*T2^6 - 
      18*T1^3*T2^7 + 18*T1^4*T2^7 - 10*T1^5*T2^7 - 10*T1^6*T2^7 + 
      18*T1^7*T2^7 - 18*T1^8*T2^7 + 9*T1^4*T2^8 - 18*T1^5*T2^8 + 
      23*T1^6*T2^8 - 18*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, NonAlternating, 249] -> 
  {-((3 - 12*T + 17*T^2 - 12*T^3 + 3*T^4)/T^2), 
   -((36 - 144*T1 + 202*T1^2 - 144*T1^3 + 36*T1^4 - 144*T2 + 432*T1*T2 - 
      223*T1^2*T2 - 223*T1^3*T2 + 432*T1^4*T2 - 144*T1^5*T2 + 202*T2^2 - 
      223*T1*T2^2 - 1025*T1^2*T2^2 + 1631*T1^3*T2^2 - 1025*T1^4*T2^2 - 
      223*T1^5*T2^2 + 202*T1^6*T2^2 - 144*T2^3 - 223*T1*T2^3 + 
      1631*T1^2*T2^3 - 812*T1^3*T2^3 - 812*T1^4*T2^3 + 1631*T1^5*T2^3 - 
      223*T1^6*T2^3 - 144*T1^7*T2^3 + 36*T2^4 + 432*T1*T2^4 - 
      1025*T1^2*T2^4 - 812*T1^3*T2^4 + 1620*T1^4*T2^4 - 812*T1^5*T2^4 - 
      1025*T1^6*T2^4 + 432*T1^7*T2^4 + 36*T1^8*T2^4 - 144*T1*T2^5 - 
      223*T1^2*T2^5 + 1631*T1^3*T2^5 - 812*T1^4*T2^5 - 812*T1^5*T2^5 + 
      1631*T1^6*T2^5 - 223*T1^7*T2^5 - 144*T1^8*T2^5 + 202*T1^2*T2^6 - 
      223*T1^3*T2^6 - 1025*T1^4*T2^6 + 1631*T1^5*T2^6 - 1025*T1^6*T2^6 - 
      223*T1^7*T2^6 + 202*T1^8*T2^6 - 144*T1^3*T2^7 + 432*T1^4*T2^7 - 
      223*T1^5*T2^7 - 223*T1^6*T2^7 + 432*T1^7*T2^7 - 144*T1^8*T2^7 + 
      36*T1^4*T2^8 - 144*T1^5*T2^8 + 202*T1^6*T2^8 - 144*T1^7*T2^8 + 
      36*T1^8*T2^8)/(T1^4*T2^4))}, Knot[12, NonAlternating, 250] -> 
  {(3 - 10*T + 15*T^2 - 10*T^3 + 3*T^4)/T^2, 
   -((9 - 26*T1 + 39*T1^2 - 26*T1^3 + 9*T1^4 - 26*T2 + 56*T1*T2 - 
      38*T1^2*T2 - 38*T1^3*T2 + 56*T1^4*T2 - 26*T1^5*T2 + 39*T2^2 - 
      38*T1*T2^2 - 102*T1^2*T2^2 + 214*T1^3*T2^2 - 102*T1^4*T2^2 - 
      38*T1^5*T2^2 + 39*T1^6*T2^2 - 26*T2^3 - 38*T1*T2^3 + 214*T1^2*T2^3 - 
      142*T1^3*T2^3 - 142*T1^4*T2^3 + 214*T1^5*T2^3 - 38*T1^6*T2^3 - 
      26*T1^7*T2^3 + 9*T2^4 + 56*T1*T2^4 - 102*T1^2*T2^4 - 142*T1^3*T2^4 + 
      324*T1^4*T2^4 - 142*T1^5*T2^4 - 102*T1^6*T2^4 + 56*T1^7*T2^4 + 
      9*T1^8*T2^4 - 26*T1*T2^5 - 38*T1^2*T2^5 + 214*T1^3*T2^5 - 
      142*T1^4*T2^5 - 142*T1^5*T2^5 + 214*T1^6*T2^5 - 38*T1^7*T2^5 - 
      26*T1^8*T2^5 + 39*T1^2*T2^6 - 38*T1^3*T2^6 - 102*T1^4*T2^6 + 
      214*T1^5*T2^6 - 102*T1^6*T2^6 - 38*T1^7*T2^6 + 39*T1^8*T2^6 - 
      26*T1^3*T2^7 + 56*T1^4*T2^7 - 38*T1^5*T2^7 - 38*T1^6*T2^7 + 
      56*T1^7*T2^7 - 26*T1^8*T2^7 + 9*T1^4*T2^8 - 26*T1^5*T2^8 + 
      39*T1^6*T2^8 - 26*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, NonAlternating, 251] -> 
  {(3 - 5*T + 2*T^2 + T^3 + 2*T^4 - 5*T^5 + 3*T^6)/T^3, 
   (90 - 148*T1 + 58*T1^2 + 32*T1^3 + 58*T1^4 - 148*T1^5 + 90*T1^6 - 148*T2 + 
     96*T1*T2 + 148*T1^2*T2 - 148*T1^3*T2 - 148*T1^4*T2 + 148*T1^5*T2 + 
     96*T1^6*T2 - 148*T1^7*T2 + 58*T2^2 + 148*T1*T2^2 - 307*T1^2*T2^2 + 
     83*T1^3*T2^2 + 161*T1^4*T2^2 + 83*T1^5*T2^2 - 307*T1^6*T2^2 + 
     148*T1^7*T2^2 + 58*T1^8*T2^2 + 32*T2^3 - 148*T1*T2^3 + 83*T1^2*T2^3 + 
     128*T1^3*T2^3 - 119*T1^4*T2^3 - 119*T1^5*T2^3 + 128*T1^6*T2^3 + 
     83*T1^7*T2^3 - 148*T1^8*T2^3 + 32*T1^9*T2^3 + 58*T2^4 - 148*T1*T2^4 + 
     161*T1^2*T2^4 - 119*T1^3*T2^4 + 108*T1^4*T2^4 - 118*T1^5*T2^4 + 
     108*T1^6*T2^4 - 119*T1^7*T2^4 + 161*T1^8*T2^4 - 148*T1^9*T2^4 + 
     58*T1^10*T2^4 - 148*T2^5 + 148*T1*T2^5 + 83*T1^2*T2^5 - 119*T1^3*T2^5 - 
     118*T1^4*T2^5 + 116*T1^5*T2^5 + 116*T1^6*T2^5 - 118*T1^7*T2^5 - 
     119*T1^8*T2^5 + 83*T1^9*T2^5 + 148*T1^10*T2^5 - 148*T1^11*T2^5 + 
     90*T2^6 + 96*T1*T2^6 - 307*T1^2*T2^6 + 128*T1^3*T2^6 + 108*T1^4*T2^6 + 
     116*T1^5*T2^6 - 324*T1^6*T2^6 + 116*T1^7*T2^6 + 108*T1^8*T2^6 + 
     128*T1^9*T2^6 - 307*T1^10*T2^6 + 96*T1^11*T2^6 + 90*T1^12*T2^6 - 
     148*T1*T2^7 + 148*T1^2*T2^7 + 83*T1^3*T2^7 - 119*T1^4*T2^7 - 
     118*T1^5*T2^7 + 116*T1^6*T2^7 + 116*T1^7*T2^7 - 118*T1^8*T2^7 - 
     119*T1^9*T2^7 + 83*T1^10*T2^7 + 148*T1^11*T2^7 - 148*T1^12*T2^7 + 
     58*T1^2*T2^8 - 148*T1^3*T2^8 + 161*T1^4*T2^8 - 119*T1^5*T2^8 + 
     108*T1^6*T2^8 - 118*T1^7*T2^8 + 108*T1^8*T2^8 - 119*T1^9*T2^8 + 
     161*T1^10*T2^8 - 148*T1^11*T2^8 + 58*T1^12*T2^8 + 32*T1^3*T2^9 - 
     148*T1^4*T2^9 + 83*T1^5*T2^9 + 128*T1^6*T2^9 - 119*T1^7*T2^9 - 
     119*T1^8*T2^9 + 128*T1^9*T2^9 + 83*T1^10*T2^9 - 148*T1^11*T2^9 + 
     32*T1^12*T2^9 + 58*T1^4*T2^10 + 148*T1^5*T2^10 - 307*T1^6*T2^10 + 
     83*T1^7*T2^10 + 161*T1^8*T2^10 + 83*T1^9*T2^10 - 307*T1^10*T2^10 + 
     148*T1^11*T2^10 + 58*T1^12*T2^10 - 148*T1^5*T2^11 + 96*T1^6*T2^11 + 
     148*T1^7*T2^11 - 148*T1^8*T2^11 - 148*T1^9*T2^11 + 148*T1^10*T2^11 + 
     96*T1^11*T2^11 - 148*T1^12*T2^11 + 90*T1^6*T2^12 - 148*T1^7*T2^12 + 
     58*T1^8*T2^12 + 32*T1^9*T2^12 + 58*T1^10*T2^12 - 148*T1^11*T2^12 + 
     90*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 252] -> 
  {-((2 - 10*T + 20*T^2 - 25*T^3 + 20*T^4 - 10*T^5 + 2*T^6)/T^3), 
   (1 - 5*T1 + 10*T1^2 - 13*T1^3 + 10*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 24*T1^2*T2 + 14*T1^3*T2 + 14*T1^4*T2 - 24*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 10*T2^2 - 24*T1*T2^2 + 3*T1^2*T2^2 - 
     29*T1^3*T2^2 + 27*T1^4*T2^2 - 29*T1^5*T2^2 + 3*T1^6*T2^2 - 
     24*T1^7*T2^2 + 10*T1^8*T2^2 - 13*T2^3 + 14*T1*T2^3 - 29*T1^2*T2^3 + 
     270*T1^3*T2^3 - 138*T1^4*T2^3 - 138*T1^5*T2^3 + 270*T1^6*T2^3 - 
     29*T1^7*T2^3 + 14*T1^8*T2^3 - 13*T1^9*T2^3 + 10*T2^4 + 14*T1*T2^4 + 
     27*T1^2*T2^4 - 138*T1^3*T2^4 - 990*T1^4*T2^4 + 1586*T1^5*T2^4 - 
     990*T1^6*T2^4 - 138*T1^7*T2^4 + 27*T1^8*T2^4 + 14*T1^9*T2^4 + 
     10*T1^10*T2^4 - 5*T2^5 - 24*T1*T2^5 - 29*T1^2*T2^5 - 138*T1^3*T2^5 + 
     1586*T1^4*T2^5 - 876*T1^5*T2^5 - 876*T1^6*T2^5 + 1586*T1^7*T2^5 - 
     138*T1^8*T2^5 - 29*T1^9*T2^5 - 24*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 + 3*T1^2*T2^6 + 270*T1^3*T2^6 - 990*T1^4*T2^6 - 
     876*T1^5*T2^6 + 1896*T1^6*T2^6 - 876*T1^7*T2^6 - 990*T1^8*T2^6 + 
     270*T1^9*T2^6 + 3*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     24*T1^2*T2^7 - 29*T1^3*T2^7 - 138*T1^4*T2^7 + 1586*T1^5*T2^7 - 
     876*T1^6*T2^7 - 876*T1^7*T2^7 + 1586*T1^8*T2^7 - 138*T1^9*T2^7 - 
     29*T1^10*T2^7 - 24*T1^11*T2^7 - 5*T1^12*T2^7 + 10*T1^2*T2^8 + 
     14*T1^3*T2^8 + 27*T1^4*T2^8 - 138*T1^5*T2^8 - 990*T1^6*T2^8 + 
     1586*T1^7*T2^8 - 990*T1^8*T2^8 - 138*T1^9*T2^8 + 27*T1^10*T2^8 + 
     14*T1^11*T2^8 + 10*T1^12*T2^8 - 13*T1^3*T2^9 + 14*T1^4*T2^9 - 
     29*T1^5*T2^9 + 270*T1^6*T2^9 - 138*T1^7*T2^9 - 138*T1^8*T2^9 + 
     270*T1^9*T2^9 - 29*T1^10*T2^9 + 14*T1^11*T2^9 - 13*T1^12*T2^9 + 
     10*T1^4*T2^10 - 24*T1^5*T2^10 + 3*T1^6*T2^10 - 29*T1^7*T2^10 + 
     27*T1^8*T2^10 - 29*T1^9*T2^10 + 3*T1^10*T2^10 - 24*T1^11*T2^10 + 
     10*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 24*T1^7*T2^11 + 
     14*T1^8*T2^11 + 14*T1^9*T2^11 - 24*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 10*T1^8*T2^12 - 
     13*T1^9*T2^12 + 10*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 253] -> 
  {(2 - 6*T + 12*T^2 - 15*T^3 + 12*T^4 - 6*T^5 + 2*T^6)/T^3, 
   -((9 - 27*T1 + 54*T1^2 - 67*T1^3 + 54*T1^4 - 27*T1^5 + 9*T1^6 - 27*T2 + 
      54*T1*T2 - 82*T1^2*T2 + 40*T1^3*T2 + 40*T1^4*T2 - 82*T1^5*T2 + 
      54*T1^6*T2 - 27*T1^7*T2 + 54*T2^2 - 82*T1*T2^2 + 157*T1^2*T2^2 - 
      117*T1^3*T2^2 + 85*T1^4*T2^2 - 117*T1^5*T2^2 + 157*T1^6*T2^2 - 
      82*T1^7*T2^2 + 54*T1^8*T2^2 - 67*T2^3 + 40*T1*T2^3 - 117*T1^2*T2^3 - 
      18*T1^3*T2^3 + 28*T1^4*T2^3 + 28*T1^5*T2^3 - 18*T1^6*T2^3 - 
      117*T1^7*T2^3 + 40*T1^8*T2^3 - 67*T1^9*T2^3 + 54*T2^4 + 40*T1*T2^4 + 
      85*T1^2*T2^4 + 28*T1^3*T2^4 + 194*T1^4*T2^4 - 314*T1^5*T2^4 + 
      194*T1^6*T2^4 + 28*T1^7*T2^4 + 85*T1^8*T2^4 + 40*T1^9*T2^4 + 
      54*T1^10*T2^4 - 27*T2^5 - 82*T1*T2^5 - 117*T1^2*T2^5 + 28*T1^3*T2^5 - 
      314*T1^4*T2^5 + 166*T1^5*T2^5 + 166*T1^6*T2^5 - 314*T1^7*T2^5 + 
      28*T1^8*T2^5 - 117*T1^9*T2^5 - 82*T1^10*T2^5 - 27*T1^11*T2^5 + 9*T2^6 + 
      54*T1*T2^6 + 157*T1^2*T2^6 - 18*T1^3*T2^6 + 194*T1^4*T2^6 + 
      166*T1^5*T2^6 - 348*T1^6*T2^6 + 166*T1^7*T2^6 + 194*T1^8*T2^6 - 
      18*T1^9*T2^6 + 157*T1^10*T2^6 + 54*T1^11*T2^6 + 9*T1^12*T2^6 - 
      27*T1*T2^7 - 82*T1^2*T2^7 - 117*T1^3*T2^7 + 28*T1^4*T2^7 - 
      314*T1^5*T2^7 + 166*T1^6*T2^7 + 166*T1^7*T2^7 - 314*T1^8*T2^7 + 
      28*T1^9*T2^7 - 117*T1^10*T2^7 - 82*T1^11*T2^7 - 27*T1^12*T2^7 + 
      54*T1^2*T2^8 + 40*T1^3*T2^8 + 85*T1^4*T2^8 + 28*T1^5*T2^8 + 
      194*T1^6*T2^8 - 314*T1^7*T2^8 + 194*T1^8*T2^8 + 28*T1^9*T2^8 + 
      85*T1^10*T2^8 + 40*T1^11*T2^8 + 54*T1^12*T2^8 - 67*T1^3*T2^9 + 
      40*T1^4*T2^9 - 117*T1^5*T2^9 - 18*T1^6*T2^9 + 28*T1^7*T2^9 + 
      28*T1^8*T2^9 - 18*T1^9*T2^9 - 117*T1^10*T2^9 + 40*T1^11*T2^9 - 
      67*T1^12*T2^9 + 54*T1^4*T2^10 - 82*T1^5*T2^10 + 157*T1^6*T2^10 - 
      117*T1^7*T2^10 + 85*T1^8*T2^10 - 117*T1^9*T2^10 + 157*T1^10*T2^10 - 
      82*T1^11*T2^10 + 54*T1^12*T2^10 - 27*T1^5*T2^11 + 54*T1^6*T2^11 - 
      82*T1^7*T2^11 + 40*T1^8*T2^11 + 40*T1^9*T2^11 - 82*T1^10*T2^11 + 
      54*T1^11*T2^11 - 27*T1^12*T2^11 + 9*T1^6*T2^12 - 27*T1^7*T2^12 + 
      54*T1^8*T2^12 - 67*T1^9*T2^12 + 54*T1^10*T2^12 - 27*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 254] -> 
  {-((2 - 8*T + 14*T^2 - 17*T^3 + 14*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((17 - 67*T1 + 116*T1^2 - 141*T1^3 + 116*T1^4 - 67*T1^5 + 17*T1^6 - 
      67*T2 + 196*T1*T2 - 189*T1^2*T2 + 97*T1^3*T2 + 97*T1^4*T2 - 
      189*T1^5*T2 + 196*T1^6*T2 - 67*T1^7*T2 + 116*T2^2 - 189*T1*T2^2 - 
      160*T1^2*T2^2 + 436*T1^3*T2^2 - 674*T1^4*T2^2 + 436*T1^5*T2^2 - 
      160*T1^6*T2^2 - 189*T1^7*T2^2 + 116*T1^8*T2^2 - 141*T2^3 + 97*T1*T2^3 + 
      436*T1^2*T2^3 - 398*T1^3*T2^3 + 314*T1^4*T2^3 + 314*T1^5*T2^3 - 
      398*T1^6*T2^3 + 436*T1^7*T2^3 + 97*T1^8*T2^3 - 141*T1^9*T2^3 + 
      116*T2^4 + 97*T1*T2^4 - 674*T1^2*T2^4 + 314*T1^3*T2^4 - 273*T1^4*T2^4 - 
      201*T1^5*T2^4 - 273*T1^6*T2^4 + 314*T1^7*T2^4 - 674*T1^8*T2^4 + 
      97*T1^9*T2^4 + 116*T1^10*T2^4 - 67*T2^5 - 189*T1*T2^5 + 436*T1^2*T2^5 + 
      314*T1^3*T2^5 - 201*T1^4*T2^5 + 402*T1^5*T2^5 + 402*T1^6*T2^5 - 
      201*T1^7*T2^5 + 314*T1^8*T2^5 + 436*T1^9*T2^5 - 189*T1^10*T2^5 - 
      67*T1^11*T2^5 + 17*T2^6 + 196*T1*T2^6 - 160*T1^2*T2^6 - 398*T1^3*T2^6 - 
      273*T1^4*T2^6 + 402*T1^5*T2^6 - 1092*T1^6*T2^6 + 402*T1^7*T2^6 - 
      273*T1^8*T2^6 - 398*T1^9*T2^6 - 160*T1^10*T2^6 + 196*T1^11*T2^6 + 
      17*T1^12*T2^6 - 67*T1*T2^7 - 189*T1^2*T2^7 + 436*T1^3*T2^7 + 
      314*T1^4*T2^7 - 201*T1^5*T2^7 + 402*T1^6*T2^7 + 402*T1^7*T2^7 - 
      201*T1^8*T2^7 + 314*T1^9*T2^7 + 436*T1^10*T2^7 - 189*T1^11*T2^7 - 
      67*T1^12*T2^7 + 116*T1^2*T2^8 + 97*T1^3*T2^8 - 674*T1^4*T2^8 + 
      314*T1^5*T2^8 - 273*T1^6*T2^8 - 201*T1^7*T2^8 - 273*T1^8*T2^8 + 
      314*T1^9*T2^8 - 674*T1^10*T2^8 + 97*T1^11*T2^8 + 116*T1^12*T2^8 - 
      141*T1^3*T2^9 + 97*T1^4*T2^9 + 436*T1^5*T2^9 - 398*T1^6*T2^9 + 
      314*T1^7*T2^9 + 314*T1^8*T2^9 - 398*T1^9*T2^9 + 436*T1^10*T2^9 + 
      97*T1^11*T2^9 - 141*T1^12*T2^9 + 116*T1^4*T2^10 - 189*T1^5*T2^10 - 
      160*T1^6*T2^10 + 436*T1^7*T2^10 - 674*T1^8*T2^10 + 436*T1^9*T2^10 - 
      160*T1^10*T2^10 - 189*T1^11*T2^10 + 116*T1^12*T2^10 - 67*T1^5*T2^11 + 
      196*T1^6*T2^11 - 189*T1^7*T2^11 + 97*T1^8*T2^11 + 97*T1^9*T2^11 - 
      189*T1^10*T2^11 + 196*T1^11*T2^11 - 67*T1^12*T2^11 + 17*T1^6*T2^12 - 
      67*T1^7*T2^12 + 116*T1^8*T2^12 - 141*T1^9*T2^12 + 116*T1^10*T2^12 - 
      67*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 255] -> 
  {(2 - 12*T + 30*T^2 - 39*T^3 + 30*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (9 - 53*T1 + 130*T1^2 - 167*T1^3 + 130*T1^4 - 53*T1^5 + 9*T1^6 - 53*T2 + 
     262*T1*T2 - 465*T1^2*T2 + 225*T1^3*T2 + 225*T1^4*T2 - 465*T1^5*T2 + 
     262*T1^6*T2 - 53*T1^7*T2 + 130*T2^2 - 465*T1*T2^2 + 224*T1^2*T2^2 + 
     1288*T1^3*T2^2 - 2010*T1^4*T2^2 + 1288*T1^5*T2^2 + 224*T1^6*T2^2 - 
     465*T1^7*T2^2 + 130*T1^8*T2^2 - 167*T2^3 + 225*T1*T2^3 + 
     1288*T1^2*T2^3 - 3690*T1^3*T2^3 + 1778*T1^4*T2^3 + 1778*T1^5*T2^3 - 
     3690*T1^6*T2^3 + 1288*T1^7*T2^3 + 225*T1^8*T2^3 - 167*T1^9*T2^3 + 
     130*T2^4 + 225*T1*T2^4 - 2010*T1^2*T2^4 + 1778*T1^3*T2^4 + 
     5401*T1^4*T2^4 - 8563*T1^5*T2^4 + 5401*T1^6*T2^4 + 1778*T1^7*T2^4 - 
     2010*T1^8*T2^4 + 225*T1^9*T2^4 + 130*T1^10*T2^4 - 53*T2^5 - 
     465*T1*T2^5 + 1288*T1^2*T2^5 + 1778*T1^3*T2^5 - 8563*T1^4*T2^5 + 
     4072*T1^5*T2^5 + 4072*T1^6*T2^5 - 8563*T1^7*T2^5 + 1778*T1^8*T2^5 + 
     1288*T1^9*T2^5 - 465*T1^10*T2^5 - 53*T1^11*T2^5 + 9*T2^6 + 262*T1*T2^6 + 
     224*T1^2*T2^6 - 3690*T1^3*T2^6 + 5401*T1^4*T2^6 + 4072*T1^5*T2^6 - 
     8064*T1^6*T2^6 + 4072*T1^7*T2^6 + 5401*T1^8*T2^6 - 3690*T1^9*T2^6 + 
     224*T1^10*T2^6 + 262*T1^11*T2^6 + 9*T1^12*T2^6 - 53*T1*T2^7 - 
     465*T1^2*T2^7 + 1288*T1^3*T2^7 + 1778*T1^4*T2^7 - 8563*T1^5*T2^7 + 
     4072*T1^6*T2^7 + 4072*T1^7*T2^7 - 8563*T1^8*T2^7 + 1778*T1^9*T2^7 + 
     1288*T1^10*T2^7 - 465*T1^11*T2^7 - 53*T1^12*T2^7 + 130*T1^2*T2^8 + 
     225*T1^3*T2^8 - 2010*T1^4*T2^8 + 1778*T1^5*T2^8 + 5401*T1^6*T2^8 - 
     8563*T1^7*T2^8 + 5401*T1^8*T2^8 + 1778*T1^9*T2^8 - 2010*T1^10*T2^8 + 
     225*T1^11*T2^8 + 130*T1^12*T2^8 - 167*T1^3*T2^9 + 225*T1^4*T2^9 + 
     1288*T1^5*T2^9 - 3690*T1^6*T2^9 + 1778*T1^7*T2^9 + 1778*T1^8*T2^9 - 
     3690*T1^9*T2^9 + 1288*T1^10*T2^9 + 225*T1^11*T2^9 - 167*T1^12*T2^9 + 
     130*T1^4*T2^10 - 465*T1^5*T2^10 + 224*T1^6*T2^10 + 1288*T1^7*T2^10 - 
     2010*T1^8*T2^10 + 1288*T1^9*T2^10 + 224*T1^10*T2^10 - 465*T1^11*T2^10 + 
     130*T1^12*T2^10 - 53*T1^5*T2^11 + 262*T1^6*T2^11 - 465*T1^7*T2^11 + 
     225*T1^8*T2^11 + 225*T1^9*T2^11 - 465*T1^10*T2^11 + 262*T1^11*T2^11 - 
     53*T1^12*T2^11 + 9*T1^6*T2^12 - 53*T1^7*T2^12 + 130*T1^8*T2^12 - 
     167*T1^9*T2^12 + 130*T1^10*T2^12 - 53*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, 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 + 11*T1*T2 + 
     8*T1^2*T2 - 27*T1^3*T2 + 8*T1^4*T2 + 11*T1^5*T2 - 9*T1^6*T2 + 6*T2^2 + 
     8*T1*T2^2 - 44*T1^2*T2^2 + 25*T1^3*T2^2 + 25*T1^4*T2^2 - 44*T1^5*T2^2 + 
     8*T1^6*T2^2 + 6*T1^7*T2^2 + 6*T2^3 - 27*T1*T2^3 + 25*T1^2*T2^3 + 
     143*T1^3*T2^3 - 195*T1^4*T2^3 + 143*T1^5*T2^3 + 25*T1^6*T2^3 - 
     27*T1^7*T2^3 + 6*T1^8*T2^3 - 9*T2^4 + 8*T1*T2^4 + 25*T1^2*T2^4 - 
     195*T1^3*T2^4 + 50*T1^4*T2^4 + 50*T1^5*T2^4 - 195*T1^6*T2^4 + 
     25*T1^7*T2^4 + 8*T1^8*T2^4 - 9*T1^9*T2^4 + 4*T2^5 + 11*T1*T2^5 - 
     44*T1^2*T2^5 + 143*T1^3*T2^5 + 50*T1^4*T2^5 - 12*T1^5*T2^5 + 
     50*T1^6*T2^5 + 143*T1^7*T2^5 - 44*T1^8*T2^5 + 11*T1^9*T2^5 + 
     4*T1^10*T2^5 - 9*T1*T2^6 + 8*T1^2*T2^6 + 25*T1^3*T2^6 - 195*T1^4*T2^6 + 
     50*T1^5*T2^6 + 50*T1^6*T2^6 - 195*T1^7*T2^6 + 25*T1^8*T2^6 + 
     8*T1^9*T2^6 - 9*T1^10*T2^6 + 6*T1^2*T2^7 - 27*T1^3*T2^7 + 25*T1^4*T2^7 + 
     143*T1^5*T2^7 - 195*T1^6*T2^7 + 143*T1^7*T2^7 + 25*T1^8*T2^7 - 
     27*T1^9*T2^7 + 6*T1^10*T2^7 + 6*T1^3*T2^8 + 8*T1^4*T2^8 - 44*T1^5*T2^8 + 
     25*T1^6*T2^8 + 25*T1^7*T2^8 - 44*T1^8*T2^8 + 8*T1^9*T2^8 + 
     6*T1^10*T2^8 - 9*T1^4*T2^9 + 11*T1^5*T2^9 + 8*T1^6*T2^9 - 27*T1^7*T2^9 + 
     8*T1^8*T2^9 + 11*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)/(T1^5*T2^5)}, 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 + 13*T1*T2 + 
      4*T1^2*T2 - 21*T1^3*T2 + 4*T1^4*T2 + 13*T1^5*T2 - 9*T1^6*T2 + 6*T2^2 + 
      4*T1*T2^2 - 36*T1^2*T2^2 + 21*T1^3*T2^2 + 21*T1^4*T2^2 - 36*T1^5*T2^2 + 
      4*T1^6*T2^2 + 6*T1^7*T2^2 + 6*T2^3 - 21*T1*T2^3 + 21*T1^2*T2^3 + 
      81*T1^3*T2^3 - 109*T1^4*T2^3 + 81*T1^5*T2^3 + 21*T1^6*T2^3 - 
      21*T1^7*T2^3 + 6*T1^8*T2^3 - 9*T2^4 + 4*T1*T2^4 + 21*T1^2*T2^4 - 
      109*T1^3*T2^4 + 22*T1^4*T2^4 + 22*T1^5*T2^4 - 109*T1^6*T2^4 + 
      21*T1^7*T2^4 + 4*T1^8*T2^4 - 9*T1^9*T2^4 + 4*T2^5 + 13*T1*T2^5 - 
      36*T1^2*T2^5 + 81*T1^3*T2^5 + 22*T1^4*T2^5 + 12*T1^5*T2^5 + 
      22*T1^6*T2^5 + 81*T1^7*T2^5 - 36*T1^8*T2^5 + 13*T1^9*T2^5 + 
      4*T1^10*T2^5 - 9*T1*T2^6 + 4*T1^2*T2^6 + 21*T1^3*T2^6 - 109*T1^4*T2^6 + 
      22*T1^5*T2^6 + 22*T1^6*T2^6 - 109*T1^7*T2^6 + 21*T1^8*T2^6 + 
      4*T1^9*T2^6 - 9*T1^10*T2^6 + 6*T1^2*T2^7 - 21*T1^3*T2^7 + 
      21*T1^4*T2^7 + 81*T1^5*T2^7 - 109*T1^6*T2^7 + 81*T1^7*T2^7 + 
      21*T1^8*T2^7 - 21*T1^9*T2^7 + 6*T1^10*T2^7 + 6*T1^3*T2^8 + 
      4*T1^4*T2^8 - 36*T1^5*T2^8 + 21*T1^6*T2^8 + 21*T1^7*T2^8 - 
      36*T1^8*T2^8 + 4*T1^9*T2^8 + 6*T1^10*T2^8 - 9*T1^4*T2^9 + 
      13*T1^5*T2^9 + 4*T1^6*T2^9 - 21*T1^7*T2^9 + 4*T1^8*T2^9 + 
      13*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)/
     (T1^5*T2^5))}, Knot[12, NonAlternating, 258] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2))/T^2), 
   -((1 - 3*T1 + 5*T1^2 - 3*T1^3 + T1^4 - 3*T2 + 2*T1*T2 - 2*T1^2*T2 - 
      2*T1^3*T2 + 2*T1^4*T2 - 3*T1^5*T2 + 5*T2^2 - 2*T1*T2^2 + 13*T1^2*T2^2 - 
      13*T1^3*T2^2 + 13*T1^4*T2^2 - 2*T1^5*T2^2 + 5*T1^6*T2^2 - 3*T2^3 - 
      2*T1*T2^3 - 13*T1^2*T2^3 - 4*T1^3*T2^3 - 4*T1^4*T2^3 - 13*T1^5*T2^3 - 
      2*T1^6*T2^3 - 3*T1^7*T2^3 + T2^4 + 2*T1*T2^4 + 13*T1^2*T2^4 - 
      4*T1^3*T2^4 + 36*T1^4*T2^4 - 4*T1^5*T2^4 + 13*T1^6*T2^4 + 2*T1^7*T2^4 + 
      T1^8*T2^4 - 3*T1*T2^5 - 2*T1^2*T2^5 - 13*T1^3*T2^5 - 4*T1^4*T2^5 - 
      4*T1^5*T2^5 - 13*T1^6*T2^5 - 2*T1^7*T2^5 - 3*T1^8*T2^5 + 5*T1^2*T2^6 - 
      2*T1^3*T2^6 + 13*T1^4*T2^6 - 13*T1^5*T2^6 + 13*T1^6*T2^6 - 
      2*T1^7*T2^6 + 5*T1^8*T2^6 - 3*T1^3*T2^7 + 2*T1^4*T2^7 - 2*T1^5*T2^7 - 
      2*T1^6*T2^7 + 2*T1^7*T2^7 - 3*T1^8*T2^7 + T1^4*T2^8 - 3*T1^5*T2^8 + 
      5*T1^6*T2^8 - 3*T1^7*T2^8 + T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, NonAlternating, 259] -> 
  {(4 - 12*T + 20*T^2 - 23*T^3 + 20*T^4 - 12*T^5 + 4*T^6)/T^3, 
   (196 - 574*T1 + 946*T1^2 - 1082*T1^3 + 946*T1^4 - 574*T1^5 + 196*T1^6 - 
     574*T2 + 1116*T1*T2 - 1102*T1^2*T2 + 405*T1^3*T2 + 405*T1^4*T2 - 
     1102*T1^5*T2 + 1116*T1^6*T2 - 574*T1^7*T2 + 946*T2^2 - 1102*T1*T2^2 + 
     452*T1^2*T2^2 + 491*T1^3*T2^2 - 648*T1^4*T2^2 + 491*T1^5*T2^2 + 
     452*T1^6*T2^2 - 1102*T1^7*T2^2 + 946*T1^8*T2^2 - 1082*T2^3 + 
     405*T1*T2^3 + 491*T1^2*T2^3 - 958*T1^3*T2^3 + 193*T1^4*T2^3 + 
     193*T1^5*T2^3 - 958*T1^6*T2^3 + 491*T1^7*T2^3 + 405*T1^8*T2^3 - 
     1082*T1^9*T2^3 + 946*T2^4 + 405*T1*T2^4 - 648*T1^2*T2^4 + 
     193*T1^3*T2^4 + 1092*T1^4*T2^4 - 972*T1^5*T2^4 + 1092*T1^6*T2^4 + 
     193*T1^7*T2^4 - 648*T1^8*T2^4 + 405*T1^9*T2^4 + 946*T1^10*T2^4 - 
     574*T2^5 - 1102*T1*T2^5 + 491*T1^2*T2^5 + 193*T1^3*T2^5 - 
     972*T1^4*T2^5 + 30*T1^5*T2^5 + 30*T1^6*T2^5 - 972*T1^7*T2^5 + 
     193*T1^8*T2^5 + 491*T1^9*T2^5 - 1102*T1^10*T2^5 - 574*T1^11*T2^5 + 
     196*T2^6 + 1116*T1*T2^6 + 452*T1^2*T2^6 - 958*T1^3*T2^6 + 
     1092*T1^4*T2^6 + 30*T1^5*T2^6 + 336*T1^6*T2^6 + 30*T1^7*T2^6 + 
     1092*T1^8*T2^6 - 958*T1^9*T2^6 + 452*T1^10*T2^6 + 1116*T1^11*T2^6 + 
     196*T1^12*T2^6 - 574*T1*T2^7 - 1102*T1^2*T2^7 + 491*T1^3*T2^7 + 
     193*T1^4*T2^7 - 972*T1^5*T2^7 + 30*T1^6*T2^7 + 30*T1^7*T2^7 - 
     972*T1^8*T2^7 + 193*T1^9*T2^7 + 491*T1^10*T2^7 - 1102*T1^11*T2^7 - 
     574*T1^12*T2^7 + 946*T1^2*T2^8 + 405*T1^3*T2^8 - 648*T1^4*T2^8 + 
     193*T1^5*T2^8 + 1092*T1^6*T2^8 - 972*T1^7*T2^8 + 1092*T1^8*T2^8 + 
     193*T1^9*T2^8 - 648*T1^10*T2^8 + 405*T1^11*T2^8 + 946*T1^12*T2^8 - 
     1082*T1^3*T2^9 + 405*T1^4*T2^9 + 491*T1^5*T2^9 - 958*T1^6*T2^9 + 
     193*T1^7*T2^9 + 193*T1^8*T2^9 - 958*T1^9*T2^9 + 491*T1^10*T2^9 + 
     405*T1^11*T2^9 - 1082*T1^12*T2^9 + 946*T1^4*T2^10 - 1102*T1^5*T2^10 + 
     452*T1^6*T2^10 + 491*T1^7*T2^10 - 648*T1^8*T2^10 + 491*T1^9*T2^10 + 
     452*T1^10*T2^10 - 1102*T1^11*T2^10 + 946*T1^12*T2^10 - 574*T1^5*T2^11 + 
     1116*T1^6*T2^11 - 1102*T1^7*T2^11 + 405*T1^8*T2^11 + 405*T1^9*T2^11 - 
     1102*T1^10*T2^11 + 1116*T1^11*T2^11 - 574*T1^12*T2^11 + 196*T1^6*T2^12 - 
     574*T1^7*T2^12 + 946*T1^8*T2^12 - 1082*T1^9*T2^12 + 946*T1^10*T2^12 - 
     574*T1^11*T2^12 + 196*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 260] -> {(3 - 5*T + 5*T^2 - 5*T^3 + 3*T^4)/T^2, 
   -((9 - 16*T1 + 19*T1^2 - 16*T1^3 + 9*T1^4 - 16*T2 + 22*T1*T2 - 
      13*T1^2*T2 - 13*T1^3*T2 + 22*T1^4*T2 - 16*T1^5*T2 + 19*T2^2 - 
      13*T1*T2^2 + 121*T1^2*T2^2 - 193*T1^3*T2^2 + 121*T1^4*T2^2 - 
      13*T1^5*T2^2 + 19*T1^6*T2^2 - 16*T2^3 - 13*T1*T2^3 - 193*T1^2*T2^3 + 
      138*T1^3*T2^3 + 138*T1^4*T2^3 - 193*T1^5*T2^3 - 13*T1^6*T2^3 - 
      16*T1^7*T2^3 + 9*T2^4 + 22*T1*T2^4 + 121*T1^2*T2^4 + 138*T1^3*T2^4 - 
      348*T1^4*T2^4 + 138*T1^5*T2^4 + 121*T1^6*T2^4 + 22*T1^7*T2^4 + 
      9*T1^8*T2^4 - 16*T1*T2^5 - 13*T1^2*T2^5 - 193*T1^3*T2^5 + 
      138*T1^4*T2^5 + 138*T1^5*T2^5 - 193*T1^6*T2^5 - 13*T1^7*T2^5 - 
      16*T1^8*T2^5 + 19*T1^2*T2^6 - 13*T1^3*T2^6 + 121*T1^4*T2^6 - 
      193*T1^5*T2^6 + 121*T1^6*T2^6 - 13*T1^7*T2^6 + 19*T1^8*T2^6 - 
      16*T1^3*T2^7 + 22*T1^4*T2^7 - 13*T1^5*T2^7 - 13*T1^6*T2^7 + 
      22*T1^7*T2^7 - 16*T1^8*T2^7 + 9*T1^4*T2^8 - 16*T1^5*T2^8 + 
      19*T1^6*T2^8 - 16*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4))}, 
 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, 
   (2*(1 - 5*T1 + 10*T1^2 - 12*T1^3 + 13*T1^4 - 12*T1^5 + 10*T1^6 - 5*T1^7 + 
      T1^8 - 5*T2 + 20*T1*T2 - 25*T1^2*T2 + 10*T1^3*T2 - 5*T1^4*T2 - 
      5*T1^5*T2 + 10*T1^6*T2 - 25*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
      10*T2^2 - 25*T1*T2^2 - 15*T1^2*T2^2 + 81*T1^3*T2^2 - 73*T1^4*T2^2 + 
      87*T1^5*T2^2 - 73*T1^6*T2^2 + 81*T1^7*T2^2 - 15*T1^8*T2^2 - 
      25*T1^9*T2^2 + 10*T1^10*T2^2 - 12*T2^3 + 10*T1*T2^3 + 81*T1^2*T2^3 - 
      126*T1^3*T2^3 + 18*T1^4*T2^3 - 25*T1^5*T2^3 - 25*T1^6*T2^3 + 
      18*T1^7*T2^3 - 126*T1^8*T2^3 + 81*T1^9*T2^3 + 10*T1^10*T2^3 - 
      12*T1^11*T2^3 + 13*T2^4 - 5*T1*T2^4 - 73*T1^2*T2^4 + 18*T1^3*T2^4 + 
      157*T1^4*T2^4 - 84*T1^5*T2^4 + 133*T1^6*T2^4 - 84*T1^7*T2^4 + 
      157*T1^8*T2^4 + 18*T1^9*T2^4 - 73*T1^10*T2^4 - 5*T1^11*T2^4 + 
      13*T1^12*T2^4 - 12*T2^5 - 5*T1*T2^5 + 87*T1^2*T2^5 - 25*T1^3*T2^5 - 
      84*T1^4*T2^5 - 59*T1^5*T2^5 - 24*T1^6*T2^5 - 24*T1^7*T2^5 - 
      59*T1^8*T2^5 - 84*T1^9*T2^5 - 25*T1^10*T2^5 + 87*T1^11*T2^5 - 
      5*T1^12*T2^5 - 12*T1^13*T2^5 + 10*T2^6 + 10*T1*T2^6 - 73*T1^2*T2^6 - 
      25*T1^3*T2^6 + 133*T1^4*T2^6 - 24*T1^5*T2^6 + 152*T1^6*T2^6 - 
      92*T1^7*T2^6 + 152*T1^8*T2^6 - 24*T1^9*T2^6 + 133*T1^10*T2^6 - 
      25*T1^11*T2^6 - 73*T1^12*T2^6 + 10*T1^13*T2^6 + 10*T1^14*T2^6 - 
      5*T2^7 - 25*T1*T2^7 + 81*T1^2*T2^7 + 18*T1^3*T2^7 - 84*T1^4*T2^7 - 
      24*T1^5*T2^7 - 92*T1^6*T2^7 - 10*T1^7*T2^7 - 10*T1^8*T2^7 - 
      92*T1^9*T2^7 - 24*T1^10*T2^7 - 84*T1^11*T2^7 + 18*T1^12*T2^7 + 
      81*T1^13*T2^7 - 25*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 - 
      15*T1^2*T2^8 - 126*T1^3*T2^8 + 157*T1^4*T2^8 - 59*T1^5*T2^8 + 
      152*T1^6*T2^8 - 10*T1^7*T2^8 + 42*T1^8*T2^8 - 10*T1^9*T2^8 + 
      152*T1^10*T2^8 - 59*T1^11*T2^8 + 157*T1^12*T2^8 - 126*T1^13*T2^8 - 
      15*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 25*T1^2*T2^9 + 
      81*T1^3*T2^9 + 18*T1^4*T2^9 - 84*T1^5*T2^9 - 24*T1^6*T2^9 - 
      92*T1^7*T2^9 - 10*T1^8*T2^9 - 10*T1^9*T2^9 - 92*T1^10*T2^9 - 
      24*T1^11*T2^9 - 84*T1^12*T2^9 + 18*T1^13*T2^9 + 81*T1^14*T2^9 - 
      25*T1^15*T2^9 - 5*T1^16*T2^9 + 10*T1^2*T2^10 + 10*T1^3*T2^10 - 
      73*T1^4*T2^10 - 25*T1^5*T2^10 + 133*T1^6*T2^10 - 24*T1^7*T2^10 + 
      152*T1^8*T2^10 - 92*T1^9*T2^10 + 152*T1^10*T2^10 - 24*T1^11*T2^10 + 
      133*T1^12*T2^10 - 25*T1^13*T2^10 - 73*T1^14*T2^10 + 10*T1^15*T2^10 + 
      10*T1^16*T2^10 - 12*T1^3*T2^11 - 5*T1^4*T2^11 + 87*T1^5*T2^11 - 
      25*T1^6*T2^11 - 84*T1^7*T2^11 - 59*T1^8*T2^11 - 24*T1^9*T2^11 - 
      24*T1^10*T2^11 - 59*T1^11*T2^11 - 84*T1^12*T2^11 - 25*T1^13*T2^11 + 
      87*T1^14*T2^11 - 5*T1^15*T2^11 - 12*T1^16*T2^11 + 13*T1^4*T2^12 - 
      5*T1^5*T2^12 - 73*T1^6*T2^12 + 18*T1^7*T2^12 + 157*T1^8*T2^12 - 
      84*T1^9*T2^12 + 133*T1^10*T2^12 - 84*T1^11*T2^12 + 157*T1^12*T2^12 + 
      18*T1^13*T2^12 - 73*T1^14*T2^12 - 5*T1^15*T2^12 + 13*T1^16*T2^12 - 
      12*T1^5*T2^13 + 10*T1^6*T2^13 + 81*T1^7*T2^13 - 126*T1^8*T2^13 + 
      18*T1^9*T2^13 - 25*T1^10*T2^13 - 25*T1^11*T2^13 + 18*T1^12*T2^13 - 
      126*T1^13*T2^13 + 81*T1^14*T2^13 + 10*T1^15*T2^13 - 12*T1^16*T2^13 + 
      10*T1^6*T2^14 - 25*T1^7*T2^14 - 15*T1^8*T2^14 + 81*T1^9*T2^14 - 
      73*T1^10*T2^14 + 87*T1^11*T2^14 - 73*T1^12*T2^14 + 81*T1^13*T2^14 - 
      15*T1^14*T2^14 - 25*T1^15*T2^14 + 10*T1^16*T2^14 - 5*T1^7*T2^15 + 
      20*T1^8*T2^15 - 25*T1^9*T2^15 + 10*T1^10*T2^15 - 5*T1^11*T2^15 - 
      5*T1^12*T2^15 + 10*T1^13*T2^15 - 25*T1^14*T2^15 + 20*T1^15*T2^15 - 
      5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 10*T1^10*T2^16 - 
      12*T1^11*T2^16 + 13*T1^12*T2^16 - 12*T1^13*T2^16 + 10*T1^14*T2^16 - 
      5*T1^15*T2^16 + T1^16*T2^16))/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 262] -> 
  {-((2 - 10*T + 20*T^2 - 25*T^3 + 20*T^4 - 10*T^5 + 2*T^6)/T^3), 
   (1 - 5*T1 + 12*T1^2 - 17*T1^3 + 12*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     16*T1*T2 - 20*T1^2*T2 + 14*T1^3*T2 + 14*T1^4*T2 - 20*T1^5*T2 + 
     16*T1^6*T2 - 5*T1^7*T2 + 12*T2^2 - 20*T1*T2^2 - T1^2*T2^2 - 
     29*T1^3*T2^2 + 23*T1^4*T2^2 - 29*T1^5*T2^2 - T1^6*T2^2 - 20*T1^7*T2^2 + 
     12*T1^8*T2^2 - 17*T2^3 + 14*T1*T2^3 - 29*T1^2*T2^3 + 270*T1^3*T2^3 - 
     134*T1^4*T2^3 - 134*T1^5*T2^3 + 270*T1^6*T2^3 - 29*T1^7*T2^3 + 
     14*T1^8*T2^3 - 17*T1^9*T2^3 + 12*T2^4 + 14*T1*T2^4 + 23*T1^2*T2^4 - 
     134*T1^3*T2^4 - 990*T1^4*T2^4 + 1582*T1^5*T2^4 - 990*T1^6*T2^4 - 
     134*T1^7*T2^4 + 23*T1^8*T2^4 + 14*T1^9*T2^4 + 12*T1^10*T2^4 - 5*T2^5 - 
     20*T1*T2^5 - 29*T1^2*T2^5 - 134*T1^3*T2^5 + 1582*T1^4*T2^5 - 
     880*T1^5*T2^5 - 880*T1^6*T2^5 + 1582*T1^7*T2^5 - 134*T1^8*T2^5 - 
     29*T1^9*T2^5 - 20*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 16*T1*T2^6 - 
     T1^2*T2^6 + 270*T1^3*T2^6 - 990*T1^4*T2^6 - 880*T1^5*T2^6 + 
     1920*T1^6*T2^6 - 880*T1^7*T2^6 - 990*T1^8*T2^6 + 270*T1^9*T2^6 - 
     T1^10*T2^6 + 16*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 20*T1^2*T2^7 - 
     29*T1^3*T2^7 - 134*T1^4*T2^7 + 1582*T1^5*T2^7 - 880*T1^6*T2^7 - 
     880*T1^7*T2^7 + 1582*T1^8*T2^7 - 134*T1^9*T2^7 - 29*T1^10*T2^7 - 
     20*T1^11*T2^7 - 5*T1^12*T2^7 + 12*T1^2*T2^8 + 14*T1^3*T2^8 + 
     23*T1^4*T2^8 - 134*T1^5*T2^8 - 990*T1^6*T2^8 + 1582*T1^7*T2^8 - 
     990*T1^8*T2^8 - 134*T1^9*T2^8 + 23*T1^10*T2^8 + 14*T1^11*T2^8 + 
     12*T1^12*T2^8 - 17*T1^3*T2^9 + 14*T1^4*T2^9 - 29*T1^5*T2^9 + 
     270*T1^6*T2^9 - 134*T1^7*T2^9 - 134*T1^8*T2^9 + 270*T1^9*T2^9 - 
     29*T1^10*T2^9 + 14*T1^11*T2^9 - 17*T1^12*T2^9 + 12*T1^4*T2^10 - 
     20*T1^5*T2^10 - T1^6*T2^10 - 29*T1^7*T2^10 + 23*T1^8*T2^10 - 
     29*T1^9*T2^10 - T1^10*T2^10 - 20*T1^11*T2^10 + 12*T1^12*T2^10 - 
     5*T1^5*T2^11 + 16*T1^6*T2^11 - 20*T1^7*T2^11 + 14*T1^8*T2^11 + 
     14*T1^9*T2^11 - 20*T1^10*T2^11 + 16*T1^11*T2^11 - 5*T1^12*T2^11 + 
     T1^6*T2^12 - 5*T1^7*T2^12 + 12*T1^8*T2^12 - 17*T1^9*T2^12 + 
     12*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 263] -> 
  {(2 - 12*T + 30*T^2 - 39*T^3 + 30*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (9 - 53*T1 + 132*T1^2 - 171*T1^3 + 132*T1^4 - 53*T1^5 + 9*T1^6 - 53*T2 + 
     258*T1*T2 - 461*T1^2*T2 + 225*T1^3*T2 + 225*T1^4*T2 - 461*T1^5*T2 + 
     258*T1^6*T2 - 53*T1^7*T2 + 132*T2^2 - 461*T1*T2^2 + 220*T1^2*T2^2 + 
     1288*T1^3*T2^2 - 2014*T1^4*T2^2 + 1288*T1^5*T2^2 + 220*T1^6*T2^2 - 
     461*T1^7*T2^2 + 132*T1^8*T2^2 - 171*T2^3 + 225*T1*T2^3 + 
     1288*T1^2*T2^3 - 3690*T1^3*T2^3 + 1782*T1^4*T2^3 + 1782*T1^5*T2^3 - 
     3690*T1^6*T2^3 + 1288*T1^7*T2^3 + 225*T1^8*T2^3 - 171*T1^9*T2^3 + 
     132*T2^4 + 225*T1*T2^4 - 2014*T1^2*T2^4 + 1782*T1^3*T2^4 + 
     5401*T1^4*T2^4 - 8567*T1^5*T2^4 + 5401*T1^6*T2^4 + 1782*T1^7*T2^4 - 
     2014*T1^8*T2^4 + 225*T1^9*T2^4 + 132*T1^10*T2^4 - 53*T2^5 - 
     461*T1*T2^5 + 1288*T1^2*T2^5 + 1782*T1^3*T2^5 - 8567*T1^4*T2^5 + 
     4068*T1^5*T2^5 + 4068*T1^6*T2^5 - 8567*T1^7*T2^5 + 1782*T1^8*T2^5 + 
     1288*T1^9*T2^5 - 461*T1^10*T2^5 - 53*T1^11*T2^5 + 9*T2^6 + 258*T1*T2^6 + 
     220*T1^2*T2^6 - 3690*T1^3*T2^6 + 5401*T1^4*T2^6 + 4068*T1^5*T2^6 - 
     8040*T1^6*T2^6 + 4068*T1^7*T2^6 + 5401*T1^8*T2^6 - 3690*T1^9*T2^6 + 
     220*T1^10*T2^6 + 258*T1^11*T2^6 + 9*T1^12*T2^6 - 53*T1*T2^7 - 
     461*T1^2*T2^7 + 1288*T1^3*T2^7 + 1782*T1^4*T2^7 - 8567*T1^5*T2^7 + 
     4068*T1^6*T2^7 + 4068*T1^7*T2^7 - 8567*T1^8*T2^7 + 1782*T1^9*T2^7 + 
     1288*T1^10*T2^7 - 461*T1^11*T2^7 - 53*T1^12*T2^7 + 132*T1^2*T2^8 + 
     225*T1^3*T2^8 - 2014*T1^4*T2^8 + 1782*T1^5*T2^8 + 5401*T1^6*T2^8 - 
     8567*T1^7*T2^8 + 5401*T1^8*T2^8 + 1782*T1^9*T2^8 - 2014*T1^10*T2^8 + 
     225*T1^11*T2^8 + 132*T1^12*T2^8 - 171*T1^3*T2^9 + 225*T1^4*T2^9 + 
     1288*T1^5*T2^9 - 3690*T1^6*T2^9 + 1782*T1^7*T2^9 + 1782*T1^8*T2^9 - 
     3690*T1^9*T2^9 + 1288*T1^10*T2^9 + 225*T1^11*T2^9 - 171*T1^12*T2^9 + 
     132*T1^4*T2^10 - 461*T1^5*T2^10 + 220*T1^6*T2^10 + 1288*T1^7*T2^10 - 
     2014*T1^8*T2^10 + 1288*T1^9*T2^10 + 220*T1^10*T2^10 - 461*T1^11*T2^10 + 
     132*T1^12*T2^10 - 53*T1^5*T2^11 + 258*T1^6*T2^11 - 461*T1^7*T2^11 + 
     225*T1^8*T2^11 + 225*T1^9*T2^11 - 461*T1^10*T2^11 + 258*T1^11*T2^11 - 
     53*T1^12*T2^11 + 9*T1^6*T2^12 - 53*T1^7*T2^12 + 132*T1^8*T2^12 - 
     171*T1^9*T2^12 + 132*T1^10*T2^12 - 53*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, 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 + 7*T1^2*T2^2 + 8*T1^3*T2^2 - 
     31*T1^4*T2^2 + 8*T1^5*T2^2 + 7*T1^6*T2^2 - 5*T1^7*T2^2 + 2*T1^8*T2^2 - 
     4*T2^3 + 6*T1*T2^3 + 8*T1^2*T2^3 - 44*T1^3*T2^3 + 29*T1^4*T2^3 + 
     29*T1^5*T2^3 - 44*T1^6*T2^3 + 8*T1^7*T2^3 + 6*T1^8*T2^3 - 4*T1^9*T2^3 + 
     2*T2^4 + 6*T1*T2^4 - 31*T1^2*T2^4 + 29*T1^3*T2^4 + 143*T1^4*T2^4 - 
     199*T1^5*T2^4 + 143*T1^6*T2^4 + 29*T1^7*T2^4 - 31*T1^8*T2^4 + 
     6*T1^9*T2^4 + 2*T1^10*T2^4 - 5*T1*T2^5 + 8*T1^2*T2^5 + 29*T1^3*T2^5 - 
     199*T1^4*T2^5 + 46*T1^5*T2^5 + 46*T1^6*T2^5 - 199*T1^7*T2^5 + 
     29*T1^8*T2^5 + 8*T1^9*T2^5 - 5*T1^10*T2^5 + 7*T1^2*T2^6 - 44*T1^3*T2^6 + 
     143*T1^4*T2^6 + 46*T1^5*T2^6 + 12*T1^6*T2^6 + 46*T1^7*T2^6 + 
     143*T1^8*T2^6 - 44*T1^9*T2^6 + 7*T1^10*T2^6 - 5*T1^2*T2^7 + 
     8*T1^3*T2^7 + 29*T1^4*T2^7 - 199*T1^5*T2^7 + 46*T1^6*T2^7 + 
     46*T1^7*T2^7 - 199*T1^8*T2^7 + 29*T1^9*T2^7 + 8*T1^10*T2^7 - 
     5*T1^11*T2^7 + 2*T1^2*T2^8 + 6*T1^3*T2^8 - 31*T1^4*T2^8 + 29*T1^5*T2^8 + 
     143*T1^6*T2^8 - 199*T1^7*T2^8 + 143*T1^8*T2^8 + 29*T1^9*T2^8 - 
     31*T1^10*T2^8 + 6*T1^11*T2^8 + 2*T1^12*T2^8 - 4*T1^3*T2^9 + 
     6*T1^4*T2^9 + 8*T1^5*T2^9 - 44*T1^6*T2^9 + 29*T1^7*T2^9 + 29*T1^8*T2^9 - 
     44*T1^9*T2^9 + 8*T1^10*T2^9 + 6*T1^11*T2^9 - 4*T1^12*T2^9 + 
     2*T1^4*T2^10 - 5*T1^5*T2^10 + 7*T1^6*T2^10 + 8*T1^7*T2^10 - 
     31*T1^8*T2^10 + 8*T1^9*T2^10 + 7*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)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 265] -> 
  {(2 - 8*T + 14*T^2 - 15*T^3 + 14*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (7 - 27*T1 + 46*T1^2 - 49*T1^3 + 46*T1^4 - 27*T1^5 + 7*T1^6 - 27*T2 + 
     78*T1*T2 - 77*T1^2*T2 + 15*T1^3*T2 + 15*T1^4*T2 - 77*T1^5*T2 + 
     78*T1^6*T2 - 27*T1^7*T2 + 46*T2^2 - 77*T1*T2^2 - 52*T1^2*T2^2 + 
     221*T1^3*T2^2 - 214*T1^4*T2^2 + 221*T1^5*T2^2 - 52*T1^6*T2^2 - 
     77*T1^7*T2^2 + 46*T1^8*T2^2 - 49*T2^3 + 15*T1*T2^3 + 221*T1^2*T2^3 - 
     330*T1^3*T2^3 + 105*T1^4*T2^3 + 105*T1^5*T2^3 - 330*T1^6*T2^3 + 
     221*T1^7*T2^3 + 15*T1^8*T2^3 - 49*T1^9*T2^3 + 46*T2^4 + 15*T1*T2^4 - 
     214*T1^2*T2^4 + 105*T1^3*T2^4 + 373*T1^4*T2^4 - 661*T1^5*T2^4 + 
     373*T1^6*T2^4 + 105*T1^7*T2^4 - 214*T1^8*T2^4 + 15*T1^9*T2^4 + 
     46*T1^10*T2^4 - 27*T2^5 - 77*T1*T2^5 + 221*T1^2*T2^5 + 105*T1^3*T2^5 - 
     661*T1^4*T2^5 + 530*T1^5*T2^5 + 530*T1^6*T2^5 - 661*T1^7*T2^5 + 
     105*T1^8*T2^5 + 221*T1^9*T2^5 - 77*T1^10*T2^5 - 27*T1^11*T2^5 + 7*T2^6 + 
     78*T1*T2^6 - 52*T1^2*T2^6 - 330*T1^3*T2^6 + 373*T1^4*T2^6 + 
     530*T1^5*T2^6 - 1488*T1^6*T2^6 + 530*T1^7*T2^6 + 373*T1^8*T2^6 - 
     330*T1^9*T2^6 - 52*T1^10*T2^6 + 78*T1^11*T2^6 + 7*T1^12*T2^6 - 
     27*T1*T2^7 - 77*T1^2*T2^7 + 221*T1^3*T2^7 + 105*T1^4*T2^7 - 
     661*T1^5*T2^7 + 530*T1^6*T2^7 + 530*T1^7*T2^7 - 661*T1^8*T2^7 + 
     105*T1^9*T2^7 + 221*T1^10*T2^7 - 77*T1^11*T2^7 - 27*T1^12*T2^7 + 
     46*T1^2*T2^8 + 15*T1^3*T2^8 - 214*T1^4*T2^8 + 105*T1^5*T2^8 + 
     373*T1^6*T2^8 - 661*T1^7*T2^8 + 373*T1^8*T2^8 + 105*T1^9*T2^8 - 
     214*T1^10*T2^8 + 15*T1^11*T2^8 + 46*T1^12*T2^8 - 49*T1^3*T2^9 + 
     15*T1^4*T2^9 + 221*T1^5*T2^9 - 330*T1^6*T2^9 + 105*T1^7*T2^9 + 
     105*T1^8*T2^9 - 330*T1^9*T2^9 + 221*T1^10*T2^9 + 15*T1^11*T2^9 - 
     49*T1^12*T2^9 + 46*T1^4*T2^10 - 77*T1^5*T2^10 - 52*T1^6*T2^10 + 
     221*T1^7*T2^10 - 214*T1^8*T2^10 + 221*T1^9*T2^10 - 52*T1^10*T2^10 - 
     77*T1^11*T2^10 + 46*T1^12*T2^10 - 27*T1^5*T2^11 + 78*T1^6*T2^11 - 
     77*T1^7*T2^11 + 15*T1^8*T2^11 + 15*T1^9*T2^11 - 77*T1^10*T2^11 + 
     78*T1^11*T2^11 - 27*T1^12*T2^11 + 7*T1^6*T2^12 - 27*T1^7*T2^12 + 
     46*T1^8*T2^12 - 49*T1^9*T2^12 + 46*T1^10*T2^12 - 27*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 266] -> 
  {-((2 - 10*T + 24*T^2 - 33*T^3 + 24*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((1 - 5*T1 + 12*T1^2 - 17*T1^3 + 12*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
      20*T1*T2 - 38*T1^2*T2 + 30*T1^3*T2 + 30*T1^4*T2 - 38*T1^5*T2 + 
      20*T1^6*T2 - 5*T1^7*T2 + 12*T2^2 - 38*T1*T2^2 + 71*T1^2*T2^2 - 
      54*T1^3*T2^2 - 71*T1^4*T2^2 - 54*T1^5*T2^2 + 71*T1^6*T2^2 - 
      38*T1^7*T2^2 + 12*T1^8*T2^2 - 17*T2^3 + 30*T1*T2^3 - 54*T1^2*T2^3 - 
      6*T1^3*T2^3 + 215*T1^4*T2^3 + 215*T1^5*T2^3 - 6*T1^6*T2^3 - 
      54*T1^7*T2^3 + 30*T1^8*T2^3 - 17*T1^9*T2^3 + 12*T2^4 + 30*T1*T2^4 - 
      71*T1^2*T2^4 + 215*T1^3*T2^4 - 312*T1^4*T2^4 - 576*T1^5*T2^4 - 
      312*T1^6*T2^4 + 215*T1^7*T2^4 - 71*T1^8*T2^4 + 30*T1^9*T2^4 + 
      12*T1^10*T2^4 - 5*T2^5 - 38*T1*T2^5 - 54*T1^2*T2^5 + 215*T1^3*T2^5 - 
      576*T1^4*T2^5 + 1158*T1^5*T2^5 + 1158*T1^6*T2^5 - 576*T1^7*T2^5 + 
      215*T1^8*T2^5 - 54*T1^9*T2^5 - 38*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
      20*T1*T2^6 + 71*T1^2*T2^6 - 6*T1^3*T2^6 - 312*T1^4*T2^6 + 
      1158*T1^5*T2^6 - 3528*T1^6*T2^6 + 1158*T1^7*T2^6 - 312*T1^8*T2^6 - 
      6*T1^9*T2^6 + 71*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
      38*T1^2*T2^7 - 54*T1^3*T2^7 + 215*T1^4*T2^7 - 576*T1^5*T2^7 + 
      1158*T1^6*T2^7 + 1158*T1^7*T2^7 - 576*T1^8*T2^7 + 215*T1^9*T2^7 - 
      54*T1^10*T2^7 - 38*T1^11*T2^7 - 5*T1^12*T2^7 + 12*T1^2*T2^8 + 
      30*T1^3*T2^8 - 71*T1^4*T2^8 + 215*T1^5*T2^8 - 312*T1^6*T2^8 - 
      576*T1^7*T2^8 - 312*T1^8*T2^8 + 215*T1^9*T2^8 - 71*T1^10*T2^8 + 
      30*T1^11*T2^8 + 12*T1^12*T2^8 - 17*T1^3*T2^9 + 30*T1^4*T2^9 - 
      54*T1^5*T2^9 - 6*T1^6*T2^9 + 215*T1^7*T2^9 + 215*T1^8*T2^9 - 
      6*T1^9*T2^9 - 54*T1^10*T2^9 + 30*T1^11*T2^9 - 17*T1^12*T2^9 + 
      12*T1^4*T2^10 - 38*T1^5*T2^10 + 71*T1^6*T2^10 - 54*T1^7*T2^10 - 
      71*T1^8*T2^10 - 54*T1^9*T2^10 + 71*T1^10*T2^10 - 38*T1^11*T2^10 + 
      12*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 38*T1^7*T2^11 + 
      30*T1^8*T2^11 + 30*T1^9*T2^11 - 38*T1^10*T2^11 + 20*T1^11*T2^11 - 
      5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 12*T1^8*T2^12 - 
      17*T1^9*T2^12 + 12*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, 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 - 102*T1^2*T2^2 + 
     346*T1^3*T2^2 - 464*T1^4*T2^2 + 346*T1^5*T2^2 - 102*T1^6*T2^2 + 
     6*T1^7*T2^2 + 2*T1^8*T2^2 - 4*T2^3 - 3*T1*T2^3 + 346*T1^2*T2^3 - 
     974*T1^3*T2^3 + 514*T1^4*T2^3 + 514*T1^5*T2^3 - 974*T1^6*T2^3 + 
     346*T1^7*T2^3 - 3*T1^8*T2^3 - 4*T1^9*T2^3 + 2*T2^4 - 3*T1*T2^4 - 
     464*T1^2*T2^4 + 514*T1^3*T2^4 + 2126*T1^4*T2^4 - 3614*T1^5*T2^4 + 
     2126*T1^6*T2^4 + 514*T1^7*T2^4 - 464*T1^8*T2^4 - 3*T1^9*T2^4 + 
     2*T1^10*T2^4 + 6*T1*T2^5 + 346*T1^2*T2^5 + 514*T1^3*T2^5 - 
     3614*T1^4*T2^5 + 2072*T1^5*T2^5 + 2072*T1^6*T2^5 - 3614*T1^7*T2^5 + 
     514*T1^8*T2^5 + 346*T1^9*T2^5 + 6*T1^10*T2^5 - 4*T1*T2^6 - 
     102*T1^2*T2^6 - 974*T1^3*T2^6 + 2126*T1^4*T2^6 + 2072*T1^5*T2^6 - 
     4596*T1^6*T2^6 + 2072*T1^7*T2^6 + 2126*T1^8*T2^6 - 974*T1^9*T2^6 - 
     102*T1^10*T2^6 - 4*T1^11*T2^6 + 6*T1^2*T2^7 + 346*T1^3*T2^7 + 
     514*T1^4*T2^7 - 3614*T1^5*T2^7 + 2072*T1^6*T2^7 + 2072*T1^7*T2^7 - 
     3614*T1^8*T2^7 + 514*T1^9*T2^7 + 346*T1^10*T2^7 + 6*T1^11*T2^7 + 
     2*T1^2*T2^8 - 3*T1^3*T2^8 - 464*T1^4*T2^8 + 514*T1^5*T2^8 + 
     2126*T1^6*T2^8 - 3614*T1^7*T2^8 + 2126*T1^8*T2^8 + 514*T1^9*T2^8 - 
     464*T1^10*T2^8 - 3*T1^11*T2^8 + 2*T1^12*T2^8 - 4*T1^3*T2^9 - 
     3*T1^4*T2^9 + 346*T1^5*T2^9 - 974*T1^6*T2^9 + 514*T1^7*T2^9 + 
     514*T1^8*T2^9 - 974*T1^9*T2^9 + 346*T1^10*T2^9 - 3*T1^11*T2^9 - 
     4*T1^12*T2^9 + 2*T1^4*T2^10 + 6*T1^5*T2^10 - 102*T1^6*T2^10 + 
     346*T1^7*T2^10 - 464*T1^8*T2^10 + 346*T1^9*T2^10 - 102*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)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 268] -> {-(((-2 + T)*(-1 + 2*T))/T), 
   (T1 + T1^2 + T2 + T1*T2 - 21*T1^2*T2 + T1^3*T2 + T1^4*T2 + T2^2 - 
     21*T1*T2^2 + 46*T1^2*T2^2 + 46*T1^3*T2^2 - 21*T1^4*T2^2 + T1^5*T2^2 + 
     T1*T2^3 + 46*T1^2*T2^3 - 168*T1^3*T2^3 + 46*T1^4*T2^3 + T1^5*T2^3 + 
     T1*T2^4 - 21*T1^2*T2^4 + 46*T1^3*T2^4 + 46*T1^4*T2^4 - 21*T1^5*T2^4 + 
     T1^6*T2^4 + T1^2*T2^5 + T1^3*T2^5 - 21*T1^4*T2^5 + T1^5*T2^5 + 
     T1^6*T2^5 + T1^4*T2^6 + T1^5*T2^6)/(T1^3*T2^3)}, 
 Knot[12, NonAlternating, 269] -> 
  {-((1 - 9*T + 28*T^2 - 41*T^3 + 28*T^4 - 9*T^5 + T^6)/T^3), 
   (2*T1 - 2*T1^2 + 2*T1^3 + 2*T2 - 10*T1*T2 - 3*T1^2*T2 - 3*T1^3*T2 - 
     10*T1^4*T2 + 2*T1^5*T2 - 2*T2^2 - 3*T1*T2^2 + 61*T1^2*T2^2 - 
     17*T1^3*T2^2 + 61*T1^4*T2^2 - 3*T1^5*T2^2 - 2*T1^6*T2^2 + 2*T2^3 - 
     3*T1*T2^3 - 17*T1^2*T2^3 - 88*T1^3*T2^3 - 88*T1^4*T2^3 - 17*T1^5*T2^3 - 
     3*T1^6*T2^3 + 2*T1^7*T2^3 - 10*T1*T2^4 + 61*T1^2*T2^4 - 88*T1^3*T2^4 + 
     348*T1^4*T2^4 - 88*T1^5*T2^4 + 61*T1^6*T2^4 - 10*T1^7*T2^4 + 2*T1*T2^5 - 
     3*T1^2*T2^5 - 17*T1^3*T2^5 - 88*T1^4*T2^5 - 88*T1^5*T2^5 - 
     17*T1^6*T2^5 - 3*T1^7*T2^5 + 2*T1^8*T2^5 - 2*T1^2*T2^6 - 3*T1^3*T2^6 + 
     61*T1^4*T2^6 - 17*T1^5*T2^6 + 61*T1^6*T2^6 - 3*T1^7*T2^6 - 2*T1^8*T2^6 + 
     2*T1^3*T2^7 - 10*T1^4*T2^7 - 3*T1^5*T2^7 - 3*T1^6*T2^7 - 10*T1^7*T2^7 + 
     2*T1^8*T2^7 + 2*T1^5*T2^8 - 2*T1^6*T2^8 + 2*T1^7*T2^8)/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 270] -> 
  {-((3 - 16*T + 25*T^2 - 16*T^3 + 3*T^4)/T^2), 
   (36 - 191*T1 + 296*T1^2 - 191*T1^3 + 36*T1^4 - 191*T2 + 832*T1*T2 - 
     562*T1^2*T2 - 562*T1^3*T2 + 832*T1^4*T2 - 191*T1^5*T2 + 296*T2^2 - 
     562*T1*T2^2 - 2747*T1^2*T2^2 + 5351*T1^3*T2^2 - 2747*T1^4*T2^2 - 
     562*T1^5*T2^2 + 296*T1^6*T2^2 - 191*T2^3 - 562*T1*T2^3 + 
     5351*T1^2*T2^3 - 3858*T1^3*T2^3 - 3858*T1^4*T2^3 + 5351*T1^5*T2^3 - 
     562*T1^6*T2^3 - 191*T1^7*T2^3 + 36*T2^4 + 832*T1*T2^4 - 2747*T1^2*T2^4 - 
     3858*T1^3*T2^4 + 9576*T1^4*T2^4 - 3858*T1^5*T2^4 - 2747*T1^6*T2^4 + 
     832*T1^7*T2^4 + 36*T1^8*T2^4 - 191*T1*T2^5 - 562*T1^2*T2^5 + 
     5351*T1^3*T2^5 - 3858*T1^4*T2^5 - 3858*T1^5*T2^5 + 5351*T1^6*T2^5 - 
     562*T1^7*T2^5 - 191*T1^8*T2^5 + 296*T1^2*T2^6 - 562*T1^3*T2^6 - 
     2747*T1^4*T2^6 + 5351*T1^5*T2^6 - 2747*T1^6*T2^6 - 562*T1^7*T2^6 + 
     296*T1^8*T2^6 - 191*T1^3*T2^7 + 832*T1^4*T2^7 - 562*T1^5*T2^7 - 
     562*T1^6*T2^7 + 832*T1^7*T2^7 - 191*T1^8*T2^7 + 36*T1^4*T2^8 - 
     191*T1^5*T2^8 + 296*T1^6*T2^8 - 191*T1^7*T2^8 + 36*T1^8*T2^8)/
    (T1^4*T2^4)}, Knot[12, NonAlternating, 271] -> 
  {-((1 - 5*T + 12*T^2 - 17*T^3 + 12*T^4 - 5*T^5 + T^6)/T^3), 
   (12 - 46*T1 + 60*T1^2 - 46*T1^3 + 12*T1^4 - 46*T2 + 128*T1*T2 - 
     49*T1^2*T2 - 49*T1^3*T2 + 128*T1^4*T2 - 46*T1^5*T2 + 60*T2^2 - 
     49*T1*T2^2 - 307*T1^2*T2^2 + 359*T1^3*T2^2 - 307*T1^4*T2^2 - 
     49*T1^5*T2^2 + 60*T1^6*T2^2 - 46*T2^3 - 49*T1*T2^3 + 359*T1^2*T2^3 - 
     32*T1^3*T2^3 - 32*T1^4*T2^3 + 359*T1^5*T2^3 - 49*T1^6*T2^3 - 
     46*T1^7*T2^3 + 12*T2^4 + 128*T1*T2^4 - 307*T1^2*T2^4 - 32*T1^3*T2^4 - 
     180*T1^4*T2^4 - 32*T1^5*T2^4 - 307*T1^6*T2^4 + 128*T1^7*T2^4 + 
     12*T1^8*T2^4 - 46*T1*T2^5 - 49*T1^2*T2^5 + 359*T1^3*T2^5 - 
     32*T1^4*T2^5 - 32*T1^5*T2^5 + 359*T1^6*T2^5 - 49*T1^7*T2^5 - 
     46*T1^8*T2^5 + 60*T1^2*T2^6 - 49*T1^3*T2^6 - 307*T1^4*T2^6 + 
     359*T1^5*T2^6 - 307*T1^6*T2^6 - 49*T1^7*T2^6 + 60*T1^8*T2^6 - 
     46*T1^3*T2^7 + 128*T1^4*T2^7 - 49*T1^5*T2^7 - 49*T1^6*T2^7 + 
     128*T1^7*T2^7 - 46*T1^8*T2^7 + 12*T1^4*T2^8 - 46*T1^5*T2^8 + 
     60*T1^6*T2^8 - 46*T1^7*T2^8 + 12*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 272] -> 
  {(1 - 7*T + 20*T^2 - 27*T^3 + 20*T^4 - 7*T^5 + T^6)/T^3, 
   -((1 - 7*T1 + 20*T1^2 - 27*T1^3 + 20*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      44*T1*T2 - 99*T1^2*T2 + 53*T1^3*T2 + 53*T1^4*T2 - 99*T1^5*T2 + 
      44*T1^6*T2 - 7*T1^7*T2 + 20*T2^2 - 99*T1*T2^2 + 102*T1^2*T2^2 + 
      320*T1^3*T2^2 - 562*T1^4*T2^2 + 320*T1^5*T2^2 + 102*T1^6*T2^2 - 
      99*T1^7*T2^2 + 20*T1^8*T2^2 - 27*T2^3 + 53*T1*T2^3 + 320*T1^2*T2^3 - 
      1296*T1^3*T2^3 + 716*T1^4*T2^3 + 716*T1^5*T2^3 - 1296*T1^6*T2^3 + 
      320*T1^7*T2^3 + 53*T1^8*T2^3 - 27*T1^9*T2^3 + 20*T2^4 + 53*T1*T2^4 - 
      562*T1^2*T2^4 + 716*T1^3*T2^4 + 2443*T1^4*T2^4 - 4219*T1^5*T2^4 + 
      2443*T1^6*T2^4 + 716*T1^7*T2^4 - 562*T1^8*T2^4 + 53*T1^9*T2^4 + 
      20*T1^10*T2^4 - 7*T2^5 - 99*T1*T2^5 + 320*T1^2*T2^5 + 716*T1^3*T2^5 - 
      4219*T1^4*T2^5 + 2370*T1^5*T2^5 + 2370*T1^6*T2^5 - 4219*T1^7*T2^5 + 
      716*T1^8*T2^5 + 320*T1^9*T2^5 - 99*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      44*T1*T2^6 + 102*T1^2*T2^6 - 1296*T1^3*T2^6 + 2443*T1^4*T2^6 + 
      2370*T1^5*T2^6 - 5172*T1^6*T2^6 + 2370*T1^7*T2^6 + 2443*T1^8*T2^6 - 
      1296*T1^9*T2^6 + 102*T1^10*T2^6 + 44*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 99*T1^2*T2^7 + 320*T1^3*T2^7 + 716*T1^4*T2^7 - 
      4219*T1^5*T2^7 + 2370*T1^6*T2^7 + 2370*T1^7*T2^7 - 4219*T1^8*T2^7 + 
      716*T1^9*T2^7 + 320*T1^10*T2^7 - 99*T1^11*T2^7 - 7*T1^12*T2^7 + 
      20*T1^2*T2^8 + 53*T1^3*T2^8 - 562*T1^4*T2^8 + 716*T1^5*T2^8 + 
      2443*T1^6*T2^8 - 4219*T1^7*T2^8 + 2443*T1^8*T2^8 + 716*T1^9*T2^8 - 
      562*T1^10*T2^8 + 53*T1^11*T2^8 + 20*T1^12*T2^8 - 27*T1^3*T2^9 + 
      53*T1^4*T2^9 + 320*T1^5*T2^9 - 1296*T1^6*T2^9 + 716*T1^7*T2^9 + 
      716*T1^8*T2^9 - 1296*T1^9*T2^9 + 320*T1^10*T2^9 + 53*T1^11*T2^9 - 
      27*T1^12*T2^9 + 20*T1^4*T2^10 - 99*T1^5*T2^10 + 102*T1^6*T2^10 + 
      320*T1^7*T2^10 - 562*T1^8*T2^10 + 320*T1^9*T2^10 + 102*T1^10*T2^10 - 
      99*T1^11*T2^10 + 20*T1^12*T2^10 - 7*T1^5*T2^11 + 44*T1^6*T2^11 - 
      99*T1^7*T2^11 + 53*T1^8*T2^11 + 53*T1^9*T2^11 - 99*T1^10*T2^11 + 
      44*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      20*T1^8*T2^12 - 27*T1^9*T2^12 + 20*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 273] -> 
  {-(((1 - 3*T + T^2)*(1 - T^2 + T^4))/T^3), 
   -((2 - 6*T1 + 6*T1^3 - 6*T1^5 + 2*T1^6 - 6*T2 + 12*T1*T2 + 18*T1^2*T2 - 
      18*T1^3*T2 - 18*T1^4*T2 + 18*T1^5*T2 + 12*T1^6*T2 - 6*T1^7*T2 + 
      18*T1*T2^2 - 53*T1^2*T2^2 - 8*T1^3*T2^2 + 65*T1^4*T2^2 - 8*T1^5*T2^2 - 
      53*T1^6*T2^2 + 18*T1^7*T2^2 + 6*T2^3 - 18*T1*T2^3 - 8*T1^2*T2^3 + 
      64*T1^3*T2^3 - 43*T1^4*T2^3 - 43*T1^5*T2^3 + 64*T1^6*T2^3 - 
      8*T1^7*T2^3 - 18*T1^8*T2^3 + 6*T1^9*T2^3 - 18*T1*T2^4 + 65*T1^2*T2^4 - 
      43*T1^3*T2^4 - 25*T1^4*T2^4 + 67*T1^5*T2^4 - 25*T1^6*T2^4 - 
      43*T1^7*T2^4 + 65*T1^8*T2^4 - 18*T1^9*T2^4 - 6*T2^5 + 18*T1*T2^5 - 
      8*T1^2*T2^5 - 43*T1^3*T2^5 + 67*T1^4*T2^5 - 40*T1^5*T2^5 - 
      40*T1^6*T2^5 + 67*T1^7*T2^5 - 43*T1^8*T2^5 - 8*T1^9*T2^5 + 
      18*T1^10*T2^5 - 6*T1^11*T2^5 + 2*T2^6 + 12*T1*T2^6 - 53*T1^2*T2^6 + 
      64*T1^3*T2^6 - 25*T1^4*T2^6 - 40*T1^5*T2^6 + 96*T1^6*T2^6 - 
      40*T1^7*T2^6 - 25*T1^8*T2^6 + 64*T1^9*T2^6 - 53*T1^10*T2^6 + 
      12*T1^11*T2^6 + 2*T1^12*T2^6 - 6*T1*T2^7 + 18*T1^2*T2^7 - 8*T1^3*T2^7 - 
      43*T1^4*T2^7 + 67*T1^5*T2^7 - 40*T1^6*T2^7 - 40*T1^7*T2^7 + 
      67*T1^8*T2^7 - 43*T1^9*T2^7 - 8*T1^10*T2^7 + 18*T1^11*T2^7 - 
      6*T1^12*T2^7 - 18*T1^3*T2^8 + 65*T1^4*T2^8 - 43*T1^5*T2^8 - 
      25*T1^6*T2^8 + 67*T1^7*T2^8 - 25*T1^8*T2^8 - 43*T1^9*T2^8 + 
      65*T1^10*T2^8 - 18*T1^11*T2^8 + 6*T1^3*T2^9 - 18*T1^4*T2^9 - 
      8*T1^5*T2^9 + 64*T1^6*T2^9 - 43*T1^7*T2^9 - 43*T1^8*T2^9 + 
      64*T1^9*T2^9 - 8*T1^10*T2^9 - 18*T1^11*T2^9 + 6*T1^12*T2^9 + 
      18*T1^5*T2^10 - 53*T1^6*T2^10 - 8*T1^7*T2^10 + 65*T1^8*T2^10 - 
      8*T1^9*T2^10 - 53*T1^10*T2^10 + 18*T1^11*T2^10 - 6*T1^5*T2^11 + 
      12*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 - 6*T1^12*T2^11 + 2*T1^6*T2^12 - 
      6*T1^7*T2^12 + 6*T1^9*T2^12 - 6*T1^11*T2^12 + 2*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, NonAlternating, 274] -> 
  {-(((1 - 3*T + T^2)*(3 - 5*T + 3*T^2))/T^2), 
   (-4*(6 - 27*T1 + 40*T1^2 - 27*T1^3 + 6*T1^4 - 27*T2 + 93*T1*T2 - 
      58*T1^2*T2 - 58*T1^3*T2 + 93*T1^4*T2 - 27*T1^5*T2 + 40*T2^2 - 
      58*T1*T2^2 - 208*T1^2*T2^2 + 400*T1^3*T2^2 - 208*T1^4*T2^2 - 
      58*T1^5*T2^2 + 40*T1^6*T2^2 - 27*T2^3 - 58*T1*T2^3 + 400*T1^2*T2^3 - 
      268*T1^3*T2^3 - 268*T1^4*T2^3 + 400*T1^5*T2^3 - 58*T1^6*T2^3 - 
      27*T1^7*T2^3 + 6*T2^4 + 93*T1*T2^4 - 208*T1^2*T2^4 - 268*T1^3*T2^4 + 
      642*T1^4*T2^4 - 268*T1^5*T2^4 - 208*T1^6*T2^4 + 93*T1^7*T2^4 + 
      6*T1^8*T2^4 - 27*T1*T2^5 - 58*T1^2*T2^5 + 400*T1^3*T2^5 - 
      268*T1^4*T2^5 - 268*T1^5*T2^5 + 400*T1^6*T2^5 - 58*T1^7*T2^5 - 
      27*T1^8*T2^5 + 40*T1^2*T2^6 - 58*T1^3*T2^6 - 208*T1^4*T2^6 + 
      400*T1^5*T2^6 - 208*T1^6*T2^6 - 58*T1^7*T2^6 + 40*T1^8*T2^6 - 
      27*T1^3*T2^7 + 93*T1^4*T2^7 - 58*T1^5*T2^7 - 58*T1^6*T2^7 + 
      93*T1^7*T2^7 - 27*T1^8*T2^7 + 6*T1^4*T2^8 - 27*T1^5*T2^8 + 
      40*T1^6*T2^8 - 27*T1^7*T2^8 + 6*T1^8*T2^8))/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 275] -> {(2 - 9*T + 15*T^2 - 9*T^3 + 2*T^4)/T^2, 
   -((3 - 15*T1 + 27*T1^2 - 15*T1^3 + 3*T1^4 - 15*T2 + 58*T1*T2 - 
      58*T1^2*T2 - 58*T1^3*T2 + 58*T1^4*T2 - 15*T1^5*T2 + 27*T2^2 - 
      58*T1*T2^2 - 80*T1^2*T2^2 + 344*T1^3*T2^2 - 80*T1^4*T2^2 - 
      58*T1^5*T2^2 + 27*T1^6*T2^2 - 15*T2^3 - 58*T1*T2^3 + 344*T1^2*T2^3 - 
      404*T1^3*T2^3 - 404*T1^4*T2^3 + 344*T1^5*T2^3 - 58*T1^6*T2^3 - 
      15*T1^7*T2^3 + 3*T2^4 + 58*T1*T2^4 - 80*T1^2*T2^4 - 404*T1^3*T2^4 + 
      1188*T1^4*T2^4 - 404*T1^5*T2^4 - 80*T1^6*T2^4 + 58*T1^7*T2^4 + 
      3*T1^8*T2^4 - 15*T1*T2^5 - 58*T1^2*T2^5 + 344*T1^3*T2^5 - 
      404*T1^4*T2^5 - 404*T1^5*T2^5 + 344*T1^6*T2^5 - 58*T1^7*T2^5 - 
      15*T1^8*T2^5 + 27*T1^2*T2^6 - 58*T1^3*T2^6 - 80*T1^4*T2^6 + 
      344*T1^5*T2^6 - 80*T1^6*T2^6 - 58*T1^7*T2^6 + 27*T1^8*T2^6 - 
      15*T1^3*T2^7 + 58*T1^4*T2^7 - 58*T1^5*T2^7 - 58*T1^6*T2^7 + 
      58*T1^7*T2^7 - 15*T1^8*T2^7 + 3*T1^4*T2^8 - 15*T1^5*T2^8 + 
      27*T1^6*T2^8 - 15*T1^7*T2^8 + 3*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, NonAlternating, 276] -> 
  {(1 + T - 7*T^2 + 11*T^3 - 7*T^4 + T^5 + T^6)/T^3, 
   -((3 + 3*T1 - 21*T1^2 + 33*T1^3 - 21*T1^4 + 3*T1^5 + 3*T1^6 + 3*T2 + 
      4*T1*T2 - 12*T1^2*T2 + 8*T1^3*T2 + 8*T1^4*T2 - 12*T1^5*T2 + 4*T1^6*T2 + 
      3*T1^7*T2 - 21*T2^2 - 12*T1*T2^2 + 117*T1^2*T2^2 - 255*T1^3*T2^2 + 
      309*T1^4*T2^2 - 255*T1^5*T2^2 + 117*T1^6*T2^2 - 12*T1^7*T2^2 - 
      21*T1^8*T2^2 + 33*T2^3 + 8*T1*T2^3 - 255*T1^2*T2^3 + 456*T1^3*T2^3 - 
      242*T1^4*T2^3 - 242*T1^5*T2^3 + 456*T1^6*T2^3 - 255*T1^7*T2^3 + 
      8*T1^8*T2^3 + 33*T1^9*T2^3 - 21*T2^4 + 8*T1*T2^4 + 309*T1^2*T2^4 - 
      242*T1^3*T2^4 - 389*T1^4*T2^4 + 871*T1^5*T2^4 - 389*T1^6*T2^4 - 
      242*T1^7*T2^4 + 309*T1^8*T2^4 + 8*T1^9*T2^4 - 21*T1^10*T2^4 + 3*T2^5 - 
      12*T1*T2^5 - 255*T1^2*T2^5 - 242*T1^3*T2^5 + 871*T1^4*T2^5 - 
      618*T1^5*T2^5 - 618*T1^6*T2^5 + 871*T1^7*T2^5 - 242*T1^8*T2^5 - 
      255*T1^9*T2^5 - 12*T1^10*T2^5 + 3*T1^11*T2^5 + 3*T2^6 + 4*T1*T2^6 + 
      117*T1^2*T2^6 + 456*T1^3*T2^6 - 389*T1^4*T2^6 - 618*T1^5*T2^6 + 
      1512*T1^6*T2^6 - 618*T1^7*T2^6 - 389*T1^8*T2^6 + 456*T1^9*T2^6 + 
      117*T1^10*T2^6 + 4*T1^11*T2^6 + 3*T1^12*T2^6 + 3*T1*T2^7 - 
      12*T1^2*T2^7 - 255*T1^3*T2^7 - 242*T1^4*T2^7 + 871*T1^5*T2^7 - 
      618*T1^6*T2^7 - 618*T1^7*T2^7 + 871*T1^8*T2^7 - 242*T1^9*T2^7 - 
      255*T1^10*T2^7 - 12*T1^11*T2^7 + 3*T1^12*T2^7 - 21*T1^2*T2^8 + 
      8*T1^3*T2^8 + 309*T1^4*T2^8 - 242*T1^5*T2^8 - 389*T1^6*T2^8 + 
      871*T1^7*T2^8 - 389*T1^8*T2^8 - 242*T1^9*T2^8 + 309*T1^10*T2^8 + 
      8*T1^11*T2^8 - 21*T1^12*T2^8 + 33*T1^3*T2^9 + 8*T1^4*T2^9 - 
      255*T1^5*T2^9 + 456*T1^6*T2^9 - 242*T1^7*T2^9 - 242*T1^8*T2^9 + 
      456*T1^9*T2^9 - 255*T1^10*T2^9 + 8*T1^11*T2^9 + 33*T1^12*T2^9 - 
      21*T1^4*T2^10 - 12*T1^5*T2^10 + 117*T1^6*T2^10 - 255*T1^7*T2^10 + 
      309*T1^8*T2^10 - 255*T1^9*T2^10 + 117*T1^10*T2^10 - 12*T1^11*T2^10 - 
      21*T1^12*T2^10 + 3*T1^5*T2^11 + 4*T1^6*T2^11 - 12*T1^7*T2^11 + 
      8*T1^8*T2^11 + 8*T1^9*T2^11 - 12*T1^10*T2^11 + 4*T1^11*T2^11 + 
      3*T1^12*T2^11 + 3*T1^6*T2^12 + 3*T1^7*T2^12 - 21*T1^8*T2^12 + 
      33*T1^9*T2^12 - 21*T1^10*T2^12 + 3*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, NonAlternating, 277] -> 
  {(2 - 8*T + 15*T^2 - 17*T^3 + 15*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (7 - 27*T1 + 49*T1^2 - 55*T1^3 + 49*T1^4 - 27*T1^5 + 7*T1^6 - 27*T2 + 
     78*T1*T2 - 86*T1^2*T2 + 24*T1^3*T2 + 24*T1^4*T2 - 86*T1^5*T2 + 
     78*T1^6*T2 - 27*T1^7*T2 + 49*T2^2 - 86*T1*T2^2 - 22*T1^2*T2^2 + 
     200*T1^3*T2^2 - 204*T1^4*T2^2 + 200*T1^5*T2^2 - 22*T1^6*T2^2 - 
     86*T1^7*T2^2 + 49*T1^8*T2^2 - 55*T2^3 + 24*T1*T2^3 + 200*T1^2*T2^3 - 
     330*T1^3*T2^3 + 80*T1^4*T2^3 + 80*T1^5*T2^3 - 330*T1^6*T2^3 + 
     200*T1^7*T2^3 + 24*T1^8*T2^3 - 55*T1^9*T2^3 + 49*T2^4 + 24*T1*T2^4 - 
     204*T1^2*T2^4 + 80*T1^3*T2^4 + 416*T1^4*T2^4 - 512*T1^5*T2^4 + 
     416*T1^6*T2^4 + 80*T1^7*T2^4 - 204*T1^8*T2^4 + 24*T1^9*T2^4 + 
     49*T1^10*T2^4 - 27*T2^5 - 86*T1*T2^5 + 200*T1^2*T2^5 + 80*T1^3*T2^5 - 
     512*T1^4*T2^5 + 236*T1^5*T2^5 + 236*T1^6*T2^5 - 512*T1^7*T2^5 + 
     80*T1^8*T2^5 + 200*T1^9*T2^5 - 86*T1^10*T2^5 - 27*T1^11*T2^5 + 7*T2^6 + 
     78*T1*T2^6 - 22*T1^2*T2^6 - 330*T1^3*T2^6 + 416*T1^4*T2^6 + 
     236*T1^5*T2^6 - 564*T1^6*T2^6 + 236*T1^7*T2^6 + 416*T1^8*T2^6 - 
     330*T1^9*T2^6 - 22*T1^10*T2^6 + 78*T1^11*T2^6 + 7*T1^12*T2^6 - 
     27*T1*T2^7 - 86*T1^2*T2^7 + 200*T1^3*T2^7 + 80*T1^4*T2^7 - 
     512*T1^5*T2^7 + 236*T1^6*T2^7 + 236*T1^7*T2^7 - 512*T1^8*T2^7 + 
     80*T1^9*T2^7 + 200*T1^10*T2^7 - 86*T1^11*T2^7 - 27*T1^12*T2^7 + 
     49*T1^2*T2^8 + 24*T1^3*T2^8 - 204*T1^4*T2^8 + 80*T1^5*T2^8 + 
     416*T1^6*T2^8 - 512*T1^7*T2^8 + 416*T1^8*T2^8 + 80*T1^9*T2^8 - 
     204*T1^10*T2^8 + 24*T1^11*T2^8 + 49*T1^12*T2^8 - 55*T1^3*T2^9 + 
     24*T1^4*T2^9 + 200*T1^5*T2^9 - 330*T1^6*T2^9 + 80*T1^7*T2^9 + 
     80*T1^8*T2^9 - 330*T1^9*T2^9 + 200*T1^10*T2^9 + 24*T1^11*T2^9 - 
     55*T1^12*T2^9 + 49*T1^4*T2^10 - 86*T1^5*T2^10 - 22*T1^6*T2^10 + 
     200*T1^7*T2^10 - 204*T1^8*T2^10 + 200*T1^9*T2^10 - 22*T1^10*T2^10 - 
     86*T1^11*T2^10 + 49*T1^12*T2^10 - 27*T1^5*T2^11 + 78*T1^6*T2^11 - 
     86*T1^7*T2^11 + 24*T1^8*T2^11 + 24*T1^9*T2^11 - 86*T1^10*T2^11 + 
     78*T1^11*T2^11 - 27*T1^12*T2^11 + 7*T1^6*T2^12 - 27*T1^7*T2^12 + 
     49*T1^8*T2^12 - 55*T1^9*T2^12 + 49*T1^10*T2^12 - 27*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 278] -> 
  {(4 - 16*T + 25*T^2 - 16*T^3 + 4*T^4)/T^2, 
   (2*(2*T1 - 4*T1^2 + 2*T1^3 + 2*T2 - 12*T1*T2 + 11*T1^2*T2 + 11*T1^3*T2 - 
      12*T1^4*T2 + 2*T1^5*T2 - 4*T2^2 + 11*T1*T2^2 + 27*T1^2*T2^2 - 
      72*T1^3*T2^2 + 27*T1^4*T2^2 + 11*T1^5*T2^2 - 4*T1^6*T2^2 + 2*T2^3 + 
      11*T1*T2^3 - 72*T1^2*T2^3 + 58*T1^3*T2^3 + 58*T1^4*T2^3 - 
      72*T1^5*T2^3 + 11*T1^6*T2^3 + 2*T1^7*T2^3 - 12*T1*T2^4 + 27*T1^2*T2^4 + 
      58*T1^3*T2^4 - 138*T1^4*T2^4 + 58*T1^5*T2^4 + 27*T1^6*T2^4 - 
      12*T1^7*T2^4 + 2*T1*T2^5 + 11*T1^2*T2^5 - 72*T1^3*T2^5 + 58*T1^4*T2^5 + 
      58*T1^5*T2^5 - 72*T1^6*T2^5 + 11*T1^7*T2^5 + 2*T1^8*T2^5 - 
      4*T1^2*T2^6 + 11*T1^3*T2^6 + 27*T1^4*T2^6 - 72*T1^5*T2^6 + 
      27*T1^6*T2^6 + 11*T1^7*T2^6 - 4*T1^8*T2^6 + 2*T1^3*T2^7 - 
      12*T1^4*T2^7 + 11*T1^5*T2^7 + 11*T1^6*T2^7 - 12*T1^7*T2^7 + 
      2*T1^8*T2^7 + 2*T1^5*T2^8 - 4*T1^6*T2^8 + 2*T1^7*T2^8))/(T1^4*T2^4)}, 
 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 + T1*T2^2)*
     (1 - 3*T1*T2 + T1^2*T2^2)*(T1 + T2 - 3*T1*T2 + T1^2*T2^2))/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 280] -> 
  {(1 - 6*T + 12*T^2 - 13*T^3 + 12*T^4 - 6*T^5 + T^6)/T^3, 
   (1 - 6*T1 + 12*T1^2 - 13*T1^3 + 12*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     30*T1*T2 - 34*T1^2*T2 + 3*T1^3*T2 + 3*T1^4*T2 - 34*T1^5*T2 + 
     30*T1^6*T2 - 6*T1^7*T2 + 12*T2^2 - 34*T1*T2^2 - 75*T1^2*T2^2 + 
     219*T1^3*T2^2 - 171*T1^4*T2^2 + 219*T1^5*T2^2 - 75*T1^6*T2^2 - 
     34*T1^7*T2^2 + 12*T1^8*T2^2 - 13*T2^3 + 3*T1*T2^3 + 219*T1^2*T2^3 - 
     270*T1^3*T2^3 - 38*T1^4*T2^3 - 38*T1^5*T2^3 - 270*T1^6*T2^3 + 
     219*T1^7*T2^3 + 3*T1^8*T2^3 - 13*T1^9*T2^3 + 12*T2^4 + 3*T1*T2^4 - 
     171*T1^2*T2^4 - 38*T1^3*T2^4 + 482*T1^4*T2^4 - 238*T1^5*T2^4 + 
     482*T1^6*T2^4 - 38*T1^7*T2^4 - 171*T1^8*T2^4 + 3*T1^9*T2^4 + 
     12*T1^10*T2^4 - 6*T2^5 - 34*T1*T2^5 + 219*T1^2*T2^5 - 38*T1^3*T2^5 - 
     238*T1^4*T2^5 - 120*T1^5*T2^5 - 120*T1^6*T2^5 - 238*T1^7*T2^5 - 
     38*T1^8*T2^5 + 219*T1^9*T2^5 - 34*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     30*T1*T2^6 - 75*T1^2*T2^6 - 270*T1^3*T2^6 + 482*T1^4*T2^6 - 
     120*T1^5*T2^6 + 372*T1^6*T2^6 - 120*T1^7*T2^6 + 482*T1^8*T2^6 - 
     270*T1^9*T2^6 - 75*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
     34*T1^2*T2^7 + 219*T1^3*T2^7 - 38*T1^4*T2^7 - 238*T1^5*T2^7 - 
     120*T1^6*T2^7 - 120*T1^7*T2^7 - 238*T1^8*T2^7 - 38*T1^9*T2^7 + 
     219*T1^10*T2^7 - 34*T1^11*T2^7 - 6*T1^12*T2^7 + 12*T1^2*T2^8 + 
     3*T1^3*T2^8 - 171*T1^4*T2^8 - 38*T1^5*T2^8 + 482*T1^6*T2^8 - 
     238*T1^7*T2^8 + 482*T1^8*T2^8 - 38*T1^9*T2^8 - 171*T1^10*T2^8 + 
     3*T1^11*T2^8 + 12*T1^12*T2^8 - 13*T1^3*T2^9 + 3*T1^4*T2^9 + 
     219*T1^5*T2^9 - 270*T1^6*T2^9 - 38*T1^7*T2^9 - 38*T1^8*T2^9 - 
     270*T1^9*T2^9 + 219*T1^10*T2^9 + 3*T1^11*T2^9 - 13*T1^12*T2^9 + 
     12*T1^4*T2^10 - 34*T1^5*T2^10 - 75*T1^6*T2^10 + 219*T1^7*T2^10 - 
     171*T1^8*T2^10 + 219*T1^9*T2^10 - 75*T1^10*T2^10 - 34*T1^11*T2^10 + 
     12*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 34*T1^7*T2^11 + 
     3*T1^8*T2^11 + 3*T1^9*T2^11 - 34*T1^10*T2^11 + 30*T1^11*T2^11 - 
     6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 12*T1^8*T2^12 - 
     13*T1^9*T2^12 + 12*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 281] -> 
  {-((1 - 6*T + 18*T^2 - 27*T^3 + 18*T^4 - 6*T^5 + T^6)/T^3), 
   (2*T1 - 3*T1^2 - 3*T1^3 + 2*T1^4 + 2*T2 - 25*T1*T2 + 50*T1^2*T2 - 
     35*T1^3*T2 + 50*T1^4*T2 - 25*T1^5*T2 + 2*T1^6*T2 - 3*T2^2 + 50*T1*T2^2 - 
     58*T1^2*T2^2 - 31*T1^3*T2^2 - 31*T1^4*T2^2 - 58*T1^5*T2^2 + 
     50*T1^6*T2^2 - 3*T1^7*T2^2 - 3*T2^3 - 35*T1*T2^3 - 31*T1^2*T2^3 + 
     137*T1^3*T2^3 + 83*T1^4*T2^3 + 137*T1^5*T2^3 - 31*T1^6*T2^3 - 
     35*T1^7*T2^3 - 3*T1^8*T2^3 + 2*T2^4 + 50*T1*T2^4 - 31*T1^2*T2^4 + 
     83*T1^3*T2^4 - 292*T1^4*T2^4 - 292*T1^5*T2^4 + 83*T1^6*T2^4 - 
     31*T1^7*T2^4 + 50*T1^8*T2^4 + 2*T1^9*T2^4 - 25*T1*T2^5 - 58*T1^2*T2^5 + 
     137*T1^3*T2^5 - 292*T1^4*T2^5 + 924*T1^5*T2^5 - 292*T1^6*T2^5 + 
     137*T1^7*T2^5 - 58*T1^8*T2^5 - 25*T1^9*T2^5 + 2*T1*T2^6 + 50*T1^2*T2^6 - 
     31*T1^3*T2^6 + 83*T1^4*T2^6 - 292*T1^5*T2^6 - 292*T1^6*T2^6 + 
     83*T1^7*T2^6 - 31*T1^8*T2^6 + 50*T1^9*T2^6 + 2*T1^10*T2^6 - 
     3*T1^2*T2^7 - 35*T1^3*T2^7 - 31*T1^4*T2^7 + 137*T1^5*T2^7 + 
     83*T1^6*T2^7 + 137*T1^7*T2^7 - 31*T1^8*T2^7 - 35*T1^9*T2^7 - 
     3*T1^10*T2^7 - 3*T1^3*T2^8 + 50*T1^4*T2^8 - 58*T1^5*T2^8 - 
     31*T1^6*T2^8 - 31*T1^7*T2^8 - 58*T1^8*T2^8 + 50*T1^9*T2^8 - 
     3*T1^10*T2^8 + 2*T1^4*T2^9 - 25*T1^5*T2^9 + 50*T1^6*T2^9 - 
     35*T1^7*T2^9 + 50*T1^8*T2^9 - 25*T1^9*T2^9 + 2*T1^10*T2^9 + 
     2*T1^6*T2^10 - 3*T1^7*T2^10 - 3*T1^8*T2^10 + 2*T1^9*T2^10)/(T1^5*T2^5)}, 
 Knot[12, NonAlternating, 282] -> {(1 - 5*T + 9*T^2 - 5*T^3 + T^4)/T^2, 
   -((2 - 5*T1 - 5*T1^2 + 2*T1^3 - 5*T2 + 7*T1*T2 + 45*T1^2*T2 + 7*T1^3*T2 - 
      5*T1^4*T2 - 5*T2^2 + 45*T1*T2^2 - 114*T1^2*T2^2 - 114*T1^3*T2^2 + 
      45*T1^4*T2^2 - 5*T1^5*T2^2 + 2*T2^3 + 7*T1*T2^3 - 114*T1^2*T2^3 + 
      420*T1^3*T2^3 - 114*T1^4*T2^3 + 7*T1^5*T2^3 + 2*T1^6*T2^3 - 5*T1*T2^4 + 
      45*T1^2*T2^4 - 114*T1^3*T2^4 - 114*T1^4*T2^4 + 45*T1^5*T2^4 - 
      5*T1^6*T2^4 - 5*T1^2*T2^5 + 7*T1^3*T2^5 + 45*T1^4*T2^5 + 7*T1^5*T2^5 - 
      5*T1^6*T2^5 + 2*T1^3*T2^6 - 5*T1^4*T2^6 - 5*T1^5*T2^6 + 2*T1^6*T2^6)/
     (T1^3*T2^3))}, 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), -((1 - 6*T1 + 14*T1^2 - 16*T1^3 + 13*T1^4 - 16*T1^5 + 14*T1^6 - 
      6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 48*T1^2*T2 + 12*T1^3*T2 + 
      18*T1^4*T2 + 18*T1^5*T2 + 12*T1^6*T2 - 48*T1^7*T2 + 30*T1^8*T2 - 
      6*T1^9*T2 + 14*T2^2 - 48*T1*T2^2 - 5*T1^2*T2^2 + 192*T1^3*T2^2 - 
      192*T1^4*T2^2 + 15*T1^5*T2^2 - 192*T1^6*T2^2 + 192*T1^7*T2^2 - 
      5*T1^8*T2^2 - 48*T1^9*T2^2 + 14*T1^10*T2^2 - 16*T2^3 + 12*T1*T2^3 + 
      192*T1^2*T2^3 - 418*T1^3*T2^3 + 43*T1^4*T2^3 + 281*T1^5*T2^3 + 
      281*T1^6*T2^3 + 43*T1^7*T2^3 - 418*T1^8*T2^3 + 192*T1^9*T2^3 + 
      12*T1^10*T2^3 - 16*T1^11*T2^3 + 13*T2^4 + 18*T1*T2^4 - 192*T1^2*T2^4 + 
      43*T1^3*T2^4 + 784*T1^4*T2^4 - 730*T1^5*T2^4 - 216*T1^6*T2^4 - 
      730*T1^7*T2^4 + 784*T1^8*T2^4 + 43*T1^9*T2^4 - 192*T1^10*T2^4 + 
      18*T1^11*T2^4 + 13*T1^12*T2^4 - 16*T2^5 + 18*T1*T2^5 + 15*T1^2*T2^5 + 
      281*T1^3*T2^5 - 730*T1^4*T2^5 - 2*T1^5*T2^5 + 627*T1^6*T2^5 + 
      627*T1^7*T2^5 - 2*T1^8*T2^5 - 730*T1^9*T2^5 + 281*T1^10*T2^5 + 
      15*T1^11*T2^5 + 18*T1^12*T2^5 - 16*T1^13*T2^5 + 14*T2^6 + 12*T1*T2^6 - 
      192*T1^2*T2^6 + 281*T1^3*T2^6 - 216*T1^4*T2^6 + 627*T1^5*T2^6 - 
      754*T1^6*T2^6 + 212*T1^7*T2^6 - 754*T1^8*T2^6 + 627*T1^9*T2^6 - 
      216*T1^10*T2^6 + 281*T1^11*T2^6 - 192*T1^12*T2^6 + 12*T1^13*T2^6 + 
      14*T1^14*T2^6 - 6*T2^7 - 48*T1*T2^7 + 192*T1^2*T2^7 + 43*T1^3*T2^7 - 
      730*T1^4*T2^7 + 627*T1^5*T2^7 + 212*T1^6*T2^7 - 264*T1^7*T2^7 - 
      264*T1^8*T2^7 + 212*T1^9*T2^7 + 627*T1^10*T2^7 - 730*T1^11*T2^7 + 
      43*T1^12*T2^7 + 192*T1^13*T2^7 - 48*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 
      30*T1*T2^8 - 5*T1^2*T2^8 - 418*T1^3*T2^8 + 784*T1^4*T2^8 - 
      2*T1^5*T2^8 - 754*T1^6*T2^8 - 264*T1^7*T2^8 + 1284*T1^8*T2^8 - 
      264*T1^9*T2^8 - 754*T1^10*T2^8 - 2*T1^11*T2^8 + 784*T1^12*T2^8 - 
      418*T1^13*T2^8 - 5*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 
      6*T1*T2^9 - 48*T1^2*T2^9 + 192*T1^3*T2^9 + 43*T1^4*T2^9 - 
      730*T1^5*T2^9 + 627*T1^6*T2^9 + 212*T1^7*T2^9 - 264*T1^8*T2^9 - 
      264*T1^9*T2^9 + 212*T1^10*T2^9 + 627*T1^11*T2^9 - 730*T1^12*T2^9 + 
      43*T1^13*T2^9 + 192*T1^14*T2^9 - 48*T1^15*T2^9 - 6*T1^16*T2^9 + 
      14*T1^2*T2^10 + 12*T1^3*T2^10 - 192*T1^4*T2^10 + 281*T1^5*T2^10 - 
      216*T1^6*T2^10 + 627*T1^7*T2^10 - 754*T1^8*T2^10 + 212*T1^9*T2^10 - 
      754*T1^10*T2^10 + 627*T1^11*T2^10 - 216*T1^12*T2^10 + 281*T1^13*T2^10 - 
      192*T1^14*T2^10 + 12*T1^15*T2^10 + 14*T1^16*T2^10 - 16*T1^3*T2^11 + 
      18*T1^4*T2^11 + 15*T1^5*T2^11 + 281*T1^6*T2^11 - 730*T1^7*T2^11 - 
      2*T1^8*T2^11 + 627*T1^9*T2^11 + 627*T1^10*T2^11 - 2*T1^11*T2^11 - 
      730*T1^12*T2^11 + 281*T1^13*T2^11 + 15*T1^14*T2^11 + 18*T1^15*T2^11 - 
      16*T1^16*T2^11 + 13*T1^4*T2^12 + 18*T1^5*T2^12 - 192*T1^6*T2^12 + 
      43*T1^7*T2^12 + 784*T1^8*T2^12 - 730*T1^9*T2^12 - 216*T1^10*T2^12 - 
      730*T1^11*T2^12 + 784*T1^12*T2^12 + 43*T1^13*T2^12 - 192*T1^14*T2^12 + 
      18*T1^15*T2^12 + 13*T1^16*T2^12 - 16*T1^5*T2^13 + 12*T1^6*T2^13 + 
      192*T1^7*T2^13 - 418*T1^8*T2^13 + 43*T1^9*T2^13 + 281*T1^10*T2^13 + 
      281*T1^11*T2^13 + 43*T1^12*T2^13 - 418*T1^13*T2^13 + 192*T1^14*T2^13 + 
      12*T1^15*T2^13 - 16*T1^16*T2^13 + 14*T1^6*T2^14 - 48*T1^7*T2^14 - 
      5*T1^8*T2^14 + 192*T1^9*T2^14 - 192*T1^10*T2^14 + 15*T1^11*T2^14 - 
      192*T1^12*T2^14 + 192*T1^13*T2^14 - 5*T1^14*T2^14 - 48*T1^15*T2^14 + 
      14*T1^16*T2^14 - 6*T1^7*T2^15 + 30*T1^8*T2^15 - 48*T1^9*T2^15 + 
      12*T1^10*T2^15 + 18*T1^11*T2^15 + 18*T1^12*T2^15 + 12*T1^13*T2^15 - 
      48*T1^14*T2^15 + 30*T1^15*T2^15 - 6*T1^16*T2^15 + T1^8*T2^16 - 
      6*T1^9*T2^16 + 14*T1^10*T2^16 - 16*T1^11*T2^16 + 13*T1^12*T2^16 - 
      16*T1^13*T2^16 + 14*T1^14*T2^16 - 6*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, NonAlternating, 284] -> 
  {-((1 - 5*T + 13*T^2 - 19*T^3 + 13*T^4 - 5*T^5 + T^6)/T^3), 
   (T1 - 2*T1^2 - 2*T1^3 + T1^4 + T2 - 9*T1*T2 + 17*T1^2*T2 - T1^3*T2 + 
     17*T1^4*T2 - 9*T1^5*T2 + T1^6*T2 - 2*T2^2 + 17*T1*T2^2 - 20*T1^2*T2^2 - 
     30*T1^3*T2^2 - 30*T1^4*T2^2 - 20*T1^5*T2^2 + 17*T1^6*T2^2 - 
     2*T1^7*T2^2 - 2*T2^3 - T1*T2^3 - 30*T1^2*T2^3 + 100*T1^3*T2^3 + 
     44*T1^4*T2^3 + 100*T1^5*T2^3 - 30*T1^6*T2^3 - T1^7*T2^3 - 2*T1^8*T2^3 + 
     T2^4 + 17*T1*T2^4 - 30*T1^2*T2^4 + 44*T1^3*T2^4 - 186*T1^4*T2^4 - 
     186*T1^5*T2^4 + 44*T1^6*T2^4 - 30*T1^7*T2^4 + 17*T1^8*T2^4 + T1^9*T2^4 - 
     9*T1*T2^5 - 20*T1^2*T2^5 + 100*T1^3*T2^5 - 186*T1^4*T2^5 + 
     600*T1^5*T2^5 - 186*T1^6*T2^5 + 100*T1^7*T2^5 - 20*T1^8*T2^5 - 
     9*T1^9*T2^5 + T1*T2^6 + 17*T1^2*T2^6 - 30*T1^3*T2^6 + 44*T1^4*T2^6 - 
     186*T1^5*T2^6 - 186*T1^6*T2^6 + 44*T1^7*T2^6 - 30*T1^8*T2^6 + 
     17*T1^9*T2^6 + T1^10*T2^6 - 2*T1^2*T2^7 - T1^3*T2^7 - 30*T1^4*T2^7 + 
     100*T1^5*T2^7 + 44*T1^6*T2^7 + 100*T1^7*T2^7 - 30*T1^8*T2^7 - 
     T1^9*T2^7 - 2*T1^10*T2^7 - 2*T1^3*T2^8 + 17*T1^4*T2^8 - 20*T1^5*T2^8 - 
     30*T1^6*T2^8 - 30*T1^7*T2^8 - 20*T1^8*T2^8 + 17*T1^9*T2^8 - 
     2*T1^10*T2^8 + T1^4*T2^9 - 9*T1^5*T2^9 + 17*T1^6*T2^9 - T1^7*T2^9 + 
     17*T1^8*T2^9 - 9*T1^9*T2^9 + T1^10*T2^9 + T1^6*T2^10 - 2*T1^7*T2^10 - 
     2*T1^8*T2^10 + T1^9*T2^10)/(T1^5*T2^5)}, 
 Knot[12, NonAlternating, 285] -> 
  {(1 - 5*T + 9*T^2 - 9*T^3 + 9*T^4 - 5*T^5 + T^6)/T^3, 
   (1 - 5*T1 + 9*T1^2 - 9*T1^3 + 9*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 20*T1*T2 - 
     19*T1^2*T2 - 2*T1^3*T2 - 2*T1^4*T2 - 19*T1^5*T2 + 20*T1^6*T2 - 
     5*T1^7*T2 + 9*T2^2 - 19*T1*T2^2 - 42*T1^2*T2^2 + 108*T1^3*T2^2 - 
     56*T1^4*T2^2 + 108*T1^5*T2^2 - 42*T1^6*T2^2 - 19*T1^7*T2^2 + 
     9*T1^8*T2^2 - 9*T2^3 - 2*T1*T2^3 + 108*T1^2*T2^3 - 112*T1^3*T2^3 - 
     54*T1^4*T2^3 - 54*T1^5*T2^3 - 112*T1^6*T2^3 + 108*T1^7*T2^3 - 
     2*T1^8*T2^3 - 9*T1^9*T2^3 + 9*T2^4 - 2*T1*T2^4 - 56*T1^2*T2^4 - 
     54*T1^3*T2^4 + 257*T1^4*T2^4 - 91*T1^5*T2^4 + 257*T1^6*T2^4 - 
     54*T1^7*T2^4 - 56*T1^8*T2^4 - 2*T1^9*T2^4 + 9*T1^10*T2^4 - 5*T2^5 - 
     19*T1*T2^5 + 108*T1^2*T2^5 - 54*T1^3*T2^5 - 91*T1^4*T2^5 - 
     72*T1^5*T2^5 - 72*T1^6*T2^5 - 91*T1^7*T2^5 - 54*T1^8*T2^5 + 
     108*T1^9*T2^5 - 19*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 20*T1*T2^6 - 
     42*T1^2*T2^6 - 112*T1^3*T2^6 + 257*T1^4*T2^6 - 72*T1^5*T2^6 + 
     180*T1^6*T2^6 - 72*T1^7*T2^6 + 257*T1^8*T2^6 - 112*T1^9*T2^6 - 
     42*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 19*T1^2*T2^7 + 
     108*T1^3*T2^7 - 54*T1^4*T2^7 - 91*T1^5*T2^7 - 72*T1^6*T2^7 - 
     72*T1^7*T2^7 - 91*T1^8*T2^7 - 54*T1^9*T2^7 + 108*T1^10*T2^7 - 
     19*T1^11*T2^7 - 5*T1^12*T2^7 + 9*T1^2*T2^8 - 2*T1^3*T2^8 - 
     56*T1^4*T2^8 - 54*T1^5*T2^8 + 257*T1^6*T2^8 - 91*T1^7*T2^8 + 
     257*T1^8*T2^8 - 54*T1^9*T2^8 - 56*T1^10*T2^8 - 2*T1^11*T2^8 + 
     9*T1^12*T2^8 - 9*T1^3*T2^9 - 2*T1^4*T2^9 + 108*T1^5*T2^9 - 
     112*T1^6*T2^9 - 54*T1^7*T2^9 - 54*T1^8*T2^9 - 112*T1^9*T2^9 + 
     108*T1^10*T2^9 - 2*T1^11*T2^9 - 9*T1^12*T2^9 + 9*T1^4*T2^10 - 
     19*T1^5*T2^10 - 42*T1^6*T2^10 + 108*T1^7*T2^10 - 56*T1^8*T2^10 + 
     108*T1^9*T2^10 - 42*T1^10*T2^10 - 19*T1^11*T2^10 + 9*T1^12*T2^10 - 
     5*T1^5*T2^11 + 20*T1^6*T2^11 - 19*T1^7*T2^11 - 2*T1^8*T2^11 - 
     2*T1^9*T2^11 - 19*T1^10*T2^11 + 20*T1^11*T2^11 - 5*T1^12*T2^11 + 
     T1^6*T2^12 - 5*T1^7*T2^12 + 9*T1^8*T2^12 - 9*T1^9*T2^12 + 
     9*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 286] -> {((-2 + T)*(-1 + 2*T)*(1 - 3*T + T^2))/T^2, 
   (3 - 17*T1 + 31*T1^2 - 17*T1^3 + 3*T1^4 - 17*T2 + 80*T1*T2 - 80*T1^2*T2 - 
     80*T1^3*T2 + 80*T1^4*T2 - 17*T1^5*T2 + 31*T2^2 - 80*T1*T2^2 - 
     199*T1^2*T2^2 + 649*T1^3*T2^2 - 199*T1^4*T2^2 - 80*T1^5*T2^2 + 
     31*T1^6*T2^2 - 17*T2^3 - 80*T1*T2^3 + 649*T1^2*T2^3 - 730*T1^3*T2^3 - 
     730*T1^4*T2^3 + 649*T1^5*T2^3 - 80*T1^6*T2^3 - 17*T1^7*T2^3 + 3*T2^4 + 
     80*T1*T2^4 - 199*T1^2*T2^4 - 730*T1^3*T2^4 + 2160*T1^4*T2^4 - 
     730*T1^5*T2^4 - 199*T1^6*T2^4 + 80*T1^7*T2^4 + 3*T1^8*T2^4 - 
     17*T1*T2^5 - 80*T1^2*T2^5 + 649*T1^3*T2^5 - 730*T1^4*T2^5 - 
     730*T1^5*T2^5 + 649*T1^6*T2^5 - 80*T1^7*T2^5 - 17*T1^8*T2^5 + 
     31*T1^2*T2^6 - 80*T1^3*T2^6 - 199*T1^4*T2^6 + 649*T1^5*T2^6 - 
     199*T1^6*T2^6 - 80*T1^7*T2^6 + 31*T1^8*T2^6 - 17*T1^3*T2^7 + 
     80*T1^4*T2^7 - 80*T1^5*T2^7 - 80*T1^6*T2^7 + 80*T1^7*T2^7 - 
     17*T1^8*T2^7 + 3*T1^4*T2^8 - 17*T1^5*T2^8 + 31*T1^6*T2^8 - 
     17*T1^7*T2^8 + 3*T1^8*T2^8)/(T1^4*T2^4)}, 
 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), (1 - 6*T1 + 15*T1^2 - 22*T1^3 + 23*T1^4 - 22*T1^5 + 15*T1^6 - 
     6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 54*T1^2*T2 + 42*T1^3*T2 - 6*T1^4*T2 - 
     6*T1^5*T2 + 42*T1^6*T2 - 54*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 15*T2^2 - 
     54*T1*T2^2 + 24*T1^2*T2^2 + 120*T1^3*T2^2 - 224*T1^4*T2^2 + 
     170*T1^5*T2^2 - 224*T1^6*T2^2 + 120*T1^7*T2^2 + 24*T1^8*T2^2 - 
     54*T1^9*T2^2 + 15*T1^10*T2^2 - 22*T2^3 + 42*T1*T2^3 + 120*T1^2*T2^3 - 
     350*T1^3*T2^3 + 272*T1^4*T2^3 + 56*T1^5*T2^3 + 56*T1^6*T2^3 + 
     272*T1^7*T2^3 - 350*T1^8*T2^3 + 120*T1^9*T2^3 + 42*T1^10*T2^3 - 
     22*T1^11*T2^3 + 23*T2^4 - 6*T1*T2^4 - 224*T1^2*T2^4 + 272*T1^3*T2^4 + 
     193*T1^4*T2^4 - 614*T1^5*T2^4 + 167*T1^6*T2^4 - 614*T1^7*T2^4 + 
     193*T1^8*T2^4 + 272*T1^9*T2^4 - 224*T1^10*T2^4 - 6*T1^11*T2^4 + 
     23*T1^12*T2^4 - 22*T2^5 - 6*T1*T2^5 + 170*T1^2*T2^5 + 56*T1^3*T2^5 - 
     614*T1^4*T2^5 + 658*T1^5*T2^5 + 200*T1^6*T2^5 + 200*T1^7*T2^5 + 
     658*T1^8*T2^5 - 614*T1^9*T2^5 + 56*T1^10*T2^5 + 170*T1^11*T2^5 - 
     6*T1^12*T2^5 - 22*T1^13*T2^5 + 15*T2^6 + 42*T1*T2^6 - 224*T1^2*T2^6 + 
     56*T1^3*T2^6 + 167*T1^4*T2^6 + 200*T1^5*T2^6 - 1251*T1^6*T2^6 + 
     897*T1^7*T2^6 - 1251*T1^8*T2^6 + 200*T1^9*T2^6 + 167*T1^10*T2^6 + 
     56*T1^11*T2^6 - 224*T1^12*T2^6 + 42*T1^13*T2^6 + 15*T1^14*T2^6 - 
     6*T2^7 - 54*T1*T2^7 + 120*T1^2*T2^7 + 272*T1^3*T2^7 - 614*T1^4*T2^7 + 
     200*T1^5*T2^7 + 897*T1^6*T2^7 - 234*T1^7*T2^7 - 234*T1^8*T2^7 + 
     897*T1^9*T2^7 + 200*T1^10*T2^7 - 614*T1^11*T2^7 + 272*T1^12*T2^7 + 
     120*T1^13*T2^7 - 54*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 
     24*T1^2*T2^8 - 350*T1^3*T2^8 + 193*T1^4*T2^8 + 658*T1^5*T2^8 - 
     1251*T1^6*T2^8 - 234*T1^7*T2^8 + 684*T1^8*T2^8 - 234*T1^9*T2^8 - 
     1251*T1^10*T2^8 + 658*T1^11*T2^8 + 193*T1^12*T2^8 - 350*T1^13*T2^8 + 
     24*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 54*T1^2*T2^9 + 
     120*T1^3*T2^9 + 272*T1^4*T2^9 - 614*T1^5*T2^9 + 200*T1^6*T2^9 + 
     897*T1^7*T2^9 - 234*T1^8*T2^9 - 234*T1^9*T2^9 + 897*T1^10*T2^9 + 
     200*T1^11*T2^9 - 614*T1^12*T2^9 + 272*T1^13*T2^9 + 120*T1^14*T2^9 - 
     54*T1^15*T2^9 - 6*T1^16*T2^9 + 15*T1^2*T2^10 + 42*T1^3*T2^10 - 
     224*T1^4*T2^10 + 56*T1^5*T2^10 + 167*T1^6*T2^10 + 200*T1^7*T2^10 - 
     1251*T1^8*T2^10 + 897*T1^9*T2^10 - 1251*T1^10*T2^10 + 200*T1^11*T2^10 + 
     167*T1^12*T2^10 + 56*T1^13*T2^10 - 224*T1^14*T2^10 + 42*T1^15*T2^10 + 
     15*T1^16*T2^10 - 22*T1^3*T2^11 - 6*T1^4*T2^11 + 170*T1^5*T2^11 + 
     56*T1^6*T2^11 - 614*T1^7*T2^11 + 658*T1^8*T2^11 + 200*T1^9*T2^11 + 
     200*T1^10*T2^11 + 658*T1^11*T2^11 - 614*T1^12*T2^11 + 56*T1^13*T2^11 + 
     170*T1^14*T2^11 - 6*T1^15*T2^11 - 22*T1^16*T2^11 + 23*T1^4*T2^12 - 
     6*T1^5*T2^12 - 224*T1^6*T2^12 + 272*T1^7*T2^12 + 193*T1^8*T2^12 - 
     614*T1^9*T2^12 + 167*T1^10*T2^12 - 614*T1^11*T2^12 + 193*T1^12*T2^12 + 
     272*T1^13*T2^12 - 224*T1^14*T2^12 - 6*T1^15*T2^12 + 23*T1^16*T2^12 - 
     22*T1^5*T2^13 + 42*T1^6*T2^13 + 120*T1^7*T2^13 - 350*T1^8*T2^13 + 
     272*T1^9*T2^13 + 56*T1^10*T2^13 + 56*T1^11*T2^13 + 272*T1^12*T2^13 - 
     350*T1^13*T2^13 + 120*T1^14*T2^13 + 42*T1^15*T2^13 - 22*T1^16*T2^13 + 
     15*T1^6*T2^14 - 54*T1^7*T2^14 + 24*T1^8*T2^14 + 120*T1^9*T2^14 - 
     224*T1^10*T2^14 + 170*T1^11*T2^14 - 224*T1^12*T2^14 + 120*T1^13*T2^14 + 
     24*T1^14*T2^14 - 54*T1^15*T2^14 + 15*T1^16*T2^14 - 6*T1^7*T2^15 + 
     30*T1^8*T2^15 - 54*T1^9*T2^15 + 42*T1^10*T2^15 - 6*T1^11*T2^15 - 
     6*T1^12*T2^15 + 42*T1^13*T2^15 - 54*T1^14*T2^15 + 30*T1^15*T2^15 - 
     6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 15*T1^10*T2^16 - 
     22*T1^11*T2^16 + 23*T1^12*T2^16 - 22*T1^13*T2^16 + 15*T1^14*T2^16 - 
     6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 288] -> {(2 - 3*T + 2*T^2)^2/T^2, 
   (2*(12 - 36*T1 + 52*T1^2 - 36*T1^3 + 12*T1^4 - 36*T2 + 69*T1*T2 - 
      46*T1^2*T2 - 46*T1^3*T2 + 69*T1^4*T2 - 36*T1^5*T2 + 52*T2^2 - 
      46*T1*T2^2 - 7*T1^2*T2^2 + 88*T1^3*T2^2 - 7*T1^4*T2^2 - 46*T1^5*T2^2 + 
      52*T1^6*T2^2 - 36*T2^3 - 46*T1*T2^3 + 88*T1^2*T2^3 - 91*T1^3*T2^3 - 
      91*T1^4*T2^3 + 88*T1^5*T2^3 - 46*T1^6*T2^3 - 36*T1^7*T2^3 + 12*T2^4 + 
      69*T1*T2^4 - 7*T1^2*T2^4 - 91*T1^3*T2^4 + 246*T1^4*T2^4 - 
      91*T1^5*T2^4 - 7*T1^6*T2^4 + 69*T1^7*T2^4 + 12*T1^8*T2^4 - 36*T1*T2^5 - 
      46*T1^2*T2^5 + 88*T1^3*T2^5 - 91*T1^4*T2^5 - 91*T1^5*T2^5 + 
      88*T1^6*T2^5 - 46*T1^7*T2^5 - 36*T1^8*T2^5 + 52*T1^2*T2^6 - 
      46*T1^3*T2^6 - 7*T1^4*T2^6 + 88*T1^5*T2^6 - 7*T1^6*T2^6 - 
      46*T1^7*T2^6 + 52*T1^8*T2^6 - 36*T1^3*T2^7 + 69*T1^4*T2^7 - 
      46*T1^5*T2^7 - 46*T1^6*T2^7 + 69*T1^7*T2^7 - 36*T1^8*T2^7 + 
      12*T1^4*T2^8 - 36*T1^5*T2^8 + 52*T1^6*T2^8 - 36*T1^7*T2^8 + 
      12*T1^8*T2^8))/(T1^4*T2^4)}, Knot[12, NonAlternating, 289] -> 
  {((2 - 3*T + 2*T^2)*(2 - 3*T + 3*T^2 - 3*T^3 + 2*T^4))/T^3, 
   (2*(104 - 304*T1 + 472*T1^2 - 516*T1^3 + 472*T1^4 - 304*T1^5 + 104*T1^6 - 
      304*T2 + 592*T1*T2 - 504*T1^2*T2 + 136*T1^3*T2 + 136*T1^4*T2 - 
      504*T1^5*T2 + 592*T1^6*T2 - 304*T1^7*T2 + 472*T2^2 - 504*T1*T2^2 - 
      19*T1^2*T2^2 + 440*T1^3*T2^2 - 312*T1^4*T2^2 + 440*T1^5*T2^2 - 
      19*T1^6*T2^2 - 504*T1^7*T2^2 + 472*T1^8*T2^2 - 516*T2^3 + 136*T1*T2^3 + 
      440*T1^2*T2^3 - 406*T1^3*T2^3 - 118*T1^4*T2^3 - 118*T1^5*T2^3 - 
      406*T1^6*T2^3 + 440*T1^7*T2^3 + 136*T1^8*T2^3 - 516*T1^9*T2^3 + 
      472*T2^4 + 136*T1*T2^4 - 312*T1^2*T2^4 - 118*T1^3*T2^4 + 
      539*T1^4*T2^4 - 2*T1^5*T2^4 + 539*T1^6*T2^4 - 118*T1^7*T2^4 - 
      312*T1^8*T2^4 + 136*T1^9*T2^4 + 472*T1^10*T2^4 - 304*T2^5 - 
      504*T1*T2^5 + 440*T1^2*T2^5 - 118*T1^3*T2^5 - 2*T1^4*T2^5 - 
      424*T1^5*T2^5 - 424*T1^6*T2^5 - 2*T1^7*T2^5 - 118*T1^8*T2^5 + 
      440*T1^9*T2^5 - 504*T1^10*T2^5 - 304*T1^11*T2^5 + 104*T2^6 + 
      592*T1*T2^6 - 19*T1^2*T2^6 - 406*T1^3*T2^6 + 539*T1^4*T2^6 - 
      424*T1^5*T2^6 + 1200*T1^6*T2^6 - 424*T1^7*T2^6 + 539*T1^8*T2^6 - 
      406*T1^9*T2^6 - 19*T1^10*T2^6 + 592*T1^11*T2^6 + 104*T1^12*T2^6 - 
      304*T1*T2^7 - 504*T1^2*T2^7 + 440*T1^3*T2^7 - 118*T1^4*T2^7 - 
      2*T1^5*T2^7 - 424*T1^6*T2^7 - 424*T1^7*T2^7 - 2*T1^8*T2^7 - 
      118*T1^9*T2^7 + 440*T1^10*T2^7 - 504*T1^11*T2^7 - 304*T1^12*T2^7 + 
      472*T1^2*T2^8 + 136*T1^3*T2^8 - 312*T1^4*T2^8 - 118*T1^5*T2^8 + 
      539*T1^6*T2^8 - 2*T1^7*T2^8 + 539*T1^8*T2^8 - 118*T1^9*T2^8 - 
      312*T1^10*T2^8 + 136*T1^11*T2^8 + 472*T1^12*T2^8 - 516*T1^3*T2^9 + 
      136*T1^4*T2^9 + 440*T1^5*T2^9 - 406*T1^6*T2^9 - 118*T1^7*T2^9 - 
      118*T1^8*T2^9 - 406*T1^9*T2^9 + 440*T1^10*T2^9 + 136*T1^11*T2^9 - 
      516*T1^12*T2^9 + 472*T1^4*T2^10 - 504*T1^5*T2^10 - 19*T1^6*T2^10 + 
      440*T1^7*T2^10 - 312*T1^8*T2^10 + 440*T1^9*T2^10 - 19*T1^10*T2^10 - 
      504*T1^11*T2^10 + 472*T1^12*T2^10 - 304*T1^5*T2^11 + 592*T1^6*T2^11 - 
      504*T1^7*T2^11 + 136*T1^8*T2^11 + 136*T1^9*T2^11 - 504*T1^10*T2^11 + 
      592*T1^11*T2^11 - 304*T1^12*T2^11 + 104*T1^6*T2^12 - 304*T1^7*T2^12 + 
      472*T1^8*T2^12 - 516*T1^9*T2^12 + 472*T1^10*T2^12 - 304*T1^11*T2^12 + 
      104*T1^12*T2^12))/(T1^6*T2^6)}, Knot[12, NonAlternating, 290] -> 
  {-(((1 - T + T^2)*(1 - 6*T + 9*T^2 - 6*T^3 + T^4))/T^3), 
   -((2 - 14*T1 + 32*T1^2 - 42*T1^3 + 32*T1^4 - 14*T1^5 + 2*T1^6 - 14*T2 + 
      90*T1*T2 - 133*T1^2*T2 + 75*T1^3*T2 + 75*T1^4*T2 - 133*T1^5*T2 + 
      90*T1^6*T2 - 14*T1^7*T2 + 32*T2^2 - 133*T1*T2^2 - 181*T1^2*T2^2 + 
      756*T1^3*T2^2 - 1157*T1^4*T2^2 + 756*T1^5*T2^2 - 181*T1^6*T2^2 - 
      133*T1^7*T2^2 + 32*T1^8*T2^2 - 42*T2^3 + 75*T1*T2^3 + 756*T1^2*T2^3 - 
      1268*T1^3*T2^3 + 810*T1^4*T2^3 + 810*T1^5*T2^3 - 1268*T1^6*T2^3 + 
      756*T1^7*T2^3 + 75*T1^8*T2^3 - 42*T1^9*T2^3 + 32*T2^4 + 75*T1*T2^4 - 
      1157*T1^2*T2^4 + 810*T1^3*T2^4 + 507*T1^4*T2^4 - 1923*T1^5*T2^4 + 
      507*T1^6*T2^4 + 810*T1^7*T2^4 - 1157*T1^8*T2^4 + 75*T1^9*T2^4 + 
      32*T1^10*T2^4 - 14*T2^5 - 133*T1*T2^5 + 756*T1^2*T2^5 + 810*T1^3*T2^5 - 
      1923*T1^4*T2^5 + 1558*T1^5*T2^5 + 1558*T1^6*T2^5 - 1923*T1^7*T2^5 + 
      810*T1^8*T2^5 + 756*T1^9*T2^5 - 133*T1^10*T2^5 - 14*T1^11*T2^5 + 
      2*T2^6 + 90*T1*T2^6 - 181*T1^2*T2^6 - 1268*T1^3*T2^6 + 507*T1^4*T2^6 + 
      1558*T1^5*T2^6 - 3828*T1^6*T2^6 + 1558*T1^7*T2^6 + 507*T1^8*T2^6 - 
      1268*T1^9*T2^6 - 181*T1^10*T2^6 + 90*T1^11*T2^6 + 2*T1^12*T2^6 - 
      14*T1*T2^7 - 133*T1^2*T2^7 + 756*T1^3*T2^7 + 810*T1^4*T2^7 - 
      1923*T1^5*T2^7 + 1558*T1^6*T2^7 + 1558*T1^7*T2^7 - 1923*T1^8*T2^7 + 
      810*T1^9*T2^7 + 756*T1^10*T2^7 - 133*T1^11*T2^7 - 14*T1^12*T2^7 + 
      32*T1^2*T2^8 + 75*T1^3*T2^8 - 1157*T1^4*T2^8 + 810*T1^5*T2^8 + 
      507*T1^6*T2^8 - 1923*T1^7*T2^8 + 507*T1^8*T2^8 + 810*T1^9*T2^8 - 
      1157*T1^10*T2^8 + 75*T1^11*T2^8 + 32*T1^12*T2^8 - 42*T1^3*T2^9 + 
      75*T1^4*T2^9 + 756*T1^5*T2^9 - 1268*T1^6*T2^9 + 810*T1^7*T2^9 + 
      810*T1^8*T2^9 - 1268*T1^9*T2^9 + 756*T1^10*T2^9 + 75*T1^11*T2^9 - 
      42*T1^12*T2^9 + 32*T1^4*T2^10 - 133*T1^5*T2^10 - 181*T1^6*T2^10 + 
      756*T1^7*T2^10 - 1157*T1^8*T2^10 + 756*T1^9*T2^10 - 181*T1^10*T2^10 - 
      133*T1^11*T2^10 + 32*T1^12*T2^10 - 14*T1^5*T2^11 + 90*T1^6*T2^11 - 
      133*T1^7*T2^11 + 75*T1^8*T2^11 + 75*T1^9*T2^11 - 133*T1^10*T2^11 + 
      90*T1^11*T2^11 - 14*T1^12*T2^11 + 2*T1^6*T2^12 - 14*T1^7*T2^12 + 
      32*T1^8*T2^12 - 42*T1^9*T2^12 + 32*T1^10*T2^12 - 14*T1^11*T2^12 + 
      2*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 291] -> 
  {((1 - T + T^2)^2*(3 - 5*T + 3*T^2))/T^3, 
   -((30 - 108*T1 + 212*T1^2 - 258*T1^3 + 212*T1^4 - 108*T1^5 + 30*T1^6 - 
      108*T2 + 280*T1*T2 - 373*T1^2*T2 + 165*T1^3*T2 + 165*T1^4*T2 - 
      373*T1^5*T2 + 280*T1^6*T2 - 108*T1^7*T2 + 212*T2^2 - 373*T1*T2^2 + 
      292*T1^2*T2^2 + 226*T1^3*T2^2 - 448*T1^4*T2^2 + 226*T1^5*T2^2 + 
      292*T1^6*T2^2 - 373*T1^7*T2^2 + 212*T1^8*T2^2 - 258*T2^3 + 
      165*T1*T2^3 + 226*T1^2*T2^3 - 844*T1^3*T2^3 + 391*T1^4*T2^3 + 
      391*T1^5*T2^3 - 844*T1^6*T2^3 + 226*T1^7*T2^3 + 165*T1^8*T2^3 - 
      258*T1^9*T2^3 + 212*T2^4 + 165*T1*T2^4 - 448*T1^2*T2^4 + 
      391*T1^3*T2^4 + 1088*T1^4*T2^4 - 1694*T1^5*T2^4 + 1088*T1^6*T2^4 + 
      391*T1^7*T2^4 - 448*T1^8*T2^4 + 165*T1^9*T2^4 + 212*T1^10*T2^4 - 
      108*T2^5 - 373*T1*T2^5 + 226*T1^2*T2^5 + 391*T1^3*T2^5 - 
      1694*T1^4*T2^5 + 792*T1^5*T2^5 + 792*T1^6*T2^5 - 1694*T1^7*T2^5 + 
      391*T1^8*T2^5 + 226*T1^9*T2^5 - 373*T1^10*T2^5 - 108*T1^11*T2^5 + 
      30*T2^6 + 280*T1*T2^6 + 292*T1^2*T2^6 - 844*T1^3*T2^6 + 
      1088*T1^4*T2^6 + 792*T1^5*T2^6 - 1584*T1^6*T2^6 + 792*T1^7*T2^6 + 
      1088*T1^8*T2^6 - 844*T1^9*T2^6 + 292*T1^10*T2^6 + 280*T1^11*T2^6 + 
      30*T1^12*T2^6 - 108*T1*T2^7 - 373*T1^2*T2^7 + 226*T1^3*T2^7 + 
      391*T1^4*T2^7 - 1694*T1^5*T2^7 + 792*T1^6*T2^7 + 792*T1^7*T2^7 - 
      1694*T1^8*T2^7 + 391*T1^9*T2^7 + 226*T1^10*T2^7 - 373*T1^11*T2^7 - 
      108*T1^12*T2^7 + 212*T1^2*T2^8 + 165*T1^3*T2^8 - 448*T1^4*T2^8 + 
      391*T1^5*T2^8 + 1088*T1^6*T2^8 - 1694*T1^7*T2^8 + 1088*T1^8*T2^8 + 
      391*T1^9*T2^8 - 448*T1^10*T2^8 + 165*T1^11*T2^8 + 212*T1^12*T2^8 - 
      258*T1^3*T2^9 + 165*T1^4*T2^9 + 226*T1^5*T2^9 - 844*T1^6*T2^9 + 
      391*T1^7*T2^9 + 391*T1^8*T2^9 - 844*T1^9*T2^9 + 226*T1^10*T2^9 + 
      165*T1^11*T2^9 - 258*T1^12*T2^9 + 212*T1^4*T2^10 - 373*T1^5*T2^10 + 
      292*T1^6*T2^10 + 226*T1^7*T2^10 - 448*T1^8*T2^10 + 226*T1^9*T2^10 + 
      292*T1^10*T2^10 - 373*T1^11*T2^10 + 212*T1^12*T2^10 - 108*T1^5*T2^11 + 
      280*T1^6*T2^11 - 373*T1^7*T2^11 + 165*T1^8*T2^11 + 165*T1^9*T2^11 - 
      373*T1^10*T2^11 + 280*T1^11*T2^11 - 108*T1^12*T2^11 + 30*T1^6*T2^12 - 
      108*T1^7*T2^12 + 212*T1^8*T2^12 - 258*T1^9*T2^12 + 212*T1^10*T2^12 - 
      108*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   (33 - 65*T1 + 31*T1^2 + 68*T1^3 - 117*T1^4 + 68*T1^5 + 31*T1^6 - 65*T1^7 + 
     33*T1^8 - 65*T2 + 64*T1*T2 + 66*T1^2*T2 - 195*T1^3*T2 + 97*T1^4*T2 + 
     97*T1^5*T2 - 195*T1^6*T2 + 66*T1^7*T2 + 64*T1^8*T2 - 65*T1^9*T2 + 
     31*T2^2 + 66*T1*T2^2 - 190*T1^2*T2^2 + 121*T1^3*T2^2 + 179*T1^4*T2^2 - 
     318*T1^5*T2^2 + 179*T1^6*T2^2 + 121*T1^7*T2^2 - 190*T1^8*T2^2 + 
     66*T1^9*T2^2 + 31*T1^10*T2^2 + 68*T2^3 - 195*T1*T2^3 + 121*T1^2*T2^3 + 
     236*T1^3*T2^3 - 480*T1^4*T2^3 + 246*T1^5*T2^3 + 246*T1^6*T2^3 - 
     480*T1^7*T2^3 + 236*T1^8*T2^3 + 121*T1^9*T2^3 - 195*T1^10*T2^3 + 
     68*T1^11*T2^3 - 117*T2^4 + 97*T1*T2^4 + 179*T1^2*T2^4 - 480*T1^3*T2^4 + 
     241*T1^4*T2^4 + 333*T1^5*T2^4 - 691*T1^6*T2^4 + 333*T1^7*T2^4 + 
     241*T1^8*T2^4 - 480*T1^9*T2^4 + 179*T1^10*T2^4 + 97*T1^11*T2^4 - 
     117*T1^12*T2^4 + 68*T2^5 + 97*T1*T2^5 - 318*T1^2*T2^5 + 246*T1^3*T2^5 + 
     333*T1^4*T2^5 - 674*T1^5*T2^5 + 391*T1^6*T2^5 + 391*T1^7*T2^5 - 
     674*T1^8*T2^5 + 333*T1^9*T2^5 + 246*T1^10*T2^5 - 318*T1^11*T2^5 + 
     97*T1^12*T2^5 + 68*T1^13*T2^5 + 31*T2^6 - 195*T1*T2^6 + 179*T1^2*T2^6 + 
     246*T1^3*T2^6 - 691*T1^4*T2^6 + 391*T1^5*T2^6 + 448*T1^6*T2^6 - 
     938*T1^7*T2^6 + 448*T1^8*T2^6 + 391*T1^9*T2^6 - 691*T1^10*T2^6 + 
     246*T1^11*T2^6 + 179*T1^12*T2^6 - 195*T1^13*T2^6 + 31*T1^14*T2^6 - 
     65*T2^7 + 66*T1*T2^7 + 121*T1^2*T2^7 - 480*T1^3*T2^7 + 333*T1^4*T2^7 + 
     391*T1^5*T2^7 - 938*T1^6*T2^7 + 468*T1^7*T2^7 + 468*T1^8*T2^7 - 
     938*T1^9*T2^7 + 391*T1^10*T2^7 + 333*T1^11*T2^7 - 480*T1^12*T2^7 + 
     121*T1^13*T2^7 + 66*T1^14*T2^7 - 65*T1^15*T2^7 + 33*T2^8 + 64*T1*T2^8 - 
     190*T1^2*T2^8 + 236*T1^3*T2^8 + 241*T1^4*T2^8 - 674*T1^5*T2^8 + 
     448*T1^6*T2^8 + 468*T1^7*T2^8 - 876*T1^8*T2^8 + 468*T1^9*T2^8 + 
     448*T1^10*T2^8 - 674*T1^11*T2^8 + 241*T1^12*T2^8 + 236*T1^13*T2^8 - 
     190*T1^14*T2^8 + 64*T1^15*T2^8 + 33*T1^16*T2^8 - 65*T1*T2^9 + 
     66*T1^2*T2^9 + 121*T1^3*T2^9 - 480*T1^4*T2^9 + 333*T1^5*T2^9 + 
     391*T1^6*T2^9 - 938*T1^7*T2^9 + 468*T1^8*T2^9 + 468*T1^9*T2^9 - 
     938*T1^10*T2^9 + 391*T1^11*T2^9 + 333*T1^12*T2^9 - 480*T1^13*T2^9 + 
     121*T1^14*T2^9 + 66*T1^15*T2^9 - 65*T1^16*T2^9 + 31*T1^2*T2^10 - 
     195*T1^3*T2^10 + 179*T1^4*T2^10 + 246*T1^5*T2^10 - 691*T1^6*T2^10 + 
     391*T1^7*T2^10 + 448*T1^8*T2^10 - 938*T1^9*T2^10 + 448*T1^10*T2^10 + 
     391*T1^11*T2^10 - 691*T1^12*T2^10 + 246*T1^13*T2^10 + 179*T1^14*T2^10 - 
     195*T1^15*T2^10 + 31*T1^16*T2^10 + 68*T1^3*T2^11 + 97*T1^4*T2^11 - 
     318*T1^5*T2^11 + 246*T1^6*T2^11 + 333*T1^7*T2^11 - 674*T1^8*T2^11 + 
     391*T1^9*T2^11 + 391*T1^10*T2^11 - 674*T1^11*T2^11 + 333*T1^12*T2^11 + 
     246*T1^13*T2^11 - 318*T1^14*T2^11 + 97*T1^15*T2^11 + 68*T1^16*T2^11 - 
     117*T1^4*T2^12 + 97*T1^5*T2^12 + 179*T1^6*T2^12 - 480*T1^7*T2^12 + 
     241*T1^8*T2^12 + 333*T1^9*T2^12 - 691*T1^10*T2^12 + 333*T1^11*T2^12 + 
     241*T1^12*T2^12 - 480*T1^13*T2^12 + 179*T1^14*T2^12 + 97*T1^15*T2^12 - 
     117*T1^16*T2^12 + 68*T1^5*T2^13 - 195*T1^6*T2^13 + 121*T1^7*T2^13 + 
     236*T1^8*T2^13 - 480*T1^9*T2^13 + 246*T1^10*T2^13 + 246*T1^11*T2^13 - 
     480*T1^12*T2^13 + 236*T1^13*T2^13 + 121*T1^14*T2^13 - 195*T1^15*T2^13 + 
     68*T1^16*T2^13 + 31*T1^6*T2^14 + 66*T1^7*T2^14 - 190*T1^8*T2^14 + 
     121*T1^9*T2^14 + 179*T1^10*T2^14 - 318*T1^11*T2^14 + 179*T1^12*T2^14 + 
     121*T1^13*T2^14 - 190*T1^14*T2^14 + 66*T1^15*T2^14 + 31*T1^16*T2^14 - 
     65*T1^7*T2^15 + 64*T1^8*T2^15 + 66*T1^9*T2^15 - 195*T1^10*T2^15 + 
     97*T1^11*T2^15 + 97*T1^12*T2^15 - 195*T1^13*T2^15 + 66*T1^14*T2^15 + 
     64*T1^15*T2^15 - 65*T1^16*T2^15 + 33*T1^8*T2^16 - 65*T1^9*T2^16 + 
     31*T1^10*T2^16 + 68*T1^11*T2^16 - 117*T1^12*T2^16 + 68*T1^13*T2^16 + 
     31*T1^14*T2^16 - 65*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^8*T2^8)}, 
 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 - 13*T1^2*T2^2 + 
      11*T1^3*T2^2 - 13*T1^4*T2^2 + 4*T1^5*T2^2 - 2*T1^6*T2^2 + 2*T2^3 + 
      4*T1*T2^3 + 11*T1^2*T2^3 + 6*T1^3*T2^3 + 6*T1^4*T2^3 + 11*T1^5*T2^3 + 
      4*T1^6*T2^3 + 2*T1^7*T2^3 - 8*T1*T2^4 - 13*T1^2*T2^4 + 6*T1^3*T2^4 - 
      36*T1^4*T2^4 + 6*T1^5*T2^4 - 13*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 + 6*T1^5*T2^5 + 11*T1^6*T2^5 + 
      4*T1^7*T2^5 + 2*T1^8*T2^5 - 2*T1^2*T2^6 + 4*T1^3*T2^6 - 13*T1^4*T2^6 + 
      11*T1^5*T2^6 - 13*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)/(T1^4*T2^4))}, 
 Knot[12, NonAlternating, 294] -> 
  {((1 - 3*T + T^2)*(1 - T + T^2)*(1 - T - T^2 - T^3 + T^4))/T^4, 
   (2 - 10*T1 + 16*T1^2 - 12*T1^3 + 10*T1^4 - 12*T1^5 + 16*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 30*T1^2*T2 - 20*T1^3*T2 + 10*T1^4*T2 + 
     10*T1^5*T2 - 20*T1^6*T2 - 30*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     16*T2^2 - 30*T1*T2^2 - 104*T1^2*T2^2 + 218*T1^3*T2^2 - 86*T1^4*T2^2 + 
     52*T1^5*T2^2 - 86*T1^6*T2^2 + 218*T1^7*T2^2 - 104*T1^8*T2^2 - 
     30*T1^9*T2^2 + 16*T1^10*T2^2 - 12*T2^3 - 20*T1*T2^3 + 218*T1^2*T2^3 - 
     170*T1^3*T2^3 - 160*T1^4*T2^3 + 60*T1^5*T2^3 + 60*T1^6*T2^3 - 
     160*T1^7*T2^3 - 170*T1^8*T2^3 + 218*T1^9*T2^3 - 20*T1^10*T2^3 - 
     12*T1^11*T2^3 + 10*T2^4 + 10*T1*T2^4 - 86*T1^2*T2^4 - 160*T1^3*T2^4 + 
     425*T1^4*T2^4 - 132*T1^5*T2^4 + 79*T1^6*T2^4 - 132*T1^7*T2^4 + 
     425*T1^8*T2^4 - 160*T1^9*T2^4 - 86*T1^10*T2^4 + 10*T1^11*T2^4 + 
     10*T1^12*T2^4 - 12*T2^5 + 10*T1*T2^5 + 52*T1^2*T2^5 + 60*T1^3*T2^5 - 
     132*T1^4*T2^5 - 96*T1^5*T2^5 + 21*T1^6*T2^5 + 21*T1^7*T2^5 - 
     96*T1^8*T2^5 - 132*T1^9*T2^5 + 60*T1^10*T2^5 + 52*T1^11*T2^5 + 
     10*T1^12*T2^5 - 12*T1^13*T2^5 + 16*T2^6 - 20*T1*T2^6 - 86*T1^2*T2^6 + 
     60*T1^3*T2^6 + 79*T1^4*T2^6 + 21*T1^5*T2^6 + 3*T1^6*T2^6 + 
     11*T1^7*T2^6 + 3*T1^8*T2^6 + 21*T1^9*T2^6 + 79*T1^10*T2^6 + 
     60*T1^11*T2^6 - 86*T1^12*T2^6 - 20*T1^13*T2^6 + 16*T1^14*T2^6 - 
     10*T2^7 - 30*T1*T2^7 + 218*T1^2*T2^7 - 160*T1^3*T2^7 - 132*T1^4*T2^7 + 
     21*T1^5*T2^7 + 11*T1^6*T2^7 + 18*T1^7*T2^7 + 18*T1^8*T2^7 + 
     11*T1^9*T2^7 + 21*T1^10*T2^7 - 132*T1^11*T2^7 - 160*T1^12*T2^7 + 
     218*T1^13*T2^7 - 30*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 - 
     104*T1^2*T2^8 - 170*T1^3*T2^8 + 425*T1^4*T2^8 - 96*T1^5*T2^8 + 
     3*T1^6*T2^8 + 18*T1^7*T2^8 - 120*T1^8*T2^8 + 18*T1^9*T2^8 + 
     3*T1^10*T2^8 - 96*T1^11*T2^8 + 425*T1^12*T2^8 - 170*T1^13*T2^8 - 
     104*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     30*T1^2*T2^9 + 218*T1^3*T2^9 - 160*T1^4*T2^9 - 132*T1^5*T2^9 + 
     21*T1^6*T2^9 + 11*T1^7*T2^9 + 18*T1^8*T2^9 + 18*T1^9*T2^9 + 
     11*T1^10*T2^9 + 21*T1^11*T2^9 - 132*T1^12*T2^9 - 160*T1^13*T2^9 + 
     218*T1^14*T2^9 - 30*T1^15*T2^9 - 10*T1^16*T2^9 + 16*T1^2*T2^10 - 
     20*T1^3*T2^10 - 86*T1^4*T2^10 + 60*T1^5*T2^10 + 79*T1^6*T2^10 + 
     21*T1^7*T2^10 + 3*T1^8*T2^10 + 11*T1^9*T2^10 + 3*T1^10*T2^10 + 
     21*T1^11*T2^10 + 79*T1^12*T2^10 + 60*T1^13*T2^10 - 86*T1^14*T2^10 - 
     20*T1^15*T2^10 + 16*T1^16*T2^10 - 12*T1^3*T2^11 + 10*T1^4*T2^11 + 
     52*T1^5*T2^11 + 60*T1^6*T2^11 - 132*T1^7*T2^11 - 96*T1^8*T2^11 + 
     21*T1^9*T2^11 + 21*T1^10*T2^11 - 96*T1^11*T2^11 - 132*T1^12*T2^11 + 
     60*T1^13*T2^11 + 52*T1^14*T2^11 + 10*T1^15*T2^11 - 12*T1^16*T2^11 + 
     10*T1^4*T2^12 + 10*T1^5*T2^12 - 86*T1^6*T2^12 - 160*T1^7*T2^12 + 
     425*T1^8*T2^12 - 132*T1^9*T2^12 + 79*T1^10*T2^12 - 132*T1^11*T2^12 + 
     425*T1^12*T2^12 - 160*T1^13*T2^12 - 86*T1^14*T2^12 + 10*T1^15*T2^12 + 
     10*T1^16*T2^12 - 12*T1^5*T2^13 - 20*T1^6*T2^13 + 218*T1^7*T2^13 - 
     170*T1^8*T2^13 - 160*T1^9*T2^13 + 60*T1^10*T2^13 + 60*T1^11*T2^13 - 
     160*T1^12*T2^13 - 170*T1^13*T2^13 + 218*T1^14*T2^13 - 20*T1^15*T2^13 - 
     12*T1^16*T2^13 + 16*T1^6*T2^14 - 30*T1^7*T2^14 - 104*T1^8*T2^14 + 
     218*T1^9*T2^14 - 86*T1^10*T2^14 + 52*T1^11*T2^14 - 86*T1^12*T2^14 + 
     218*T1^13*T2^14 - 104*T1^14*T2^14 - 30*T1^15*T2^14 + 16*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 30*T1^9*T2^15 - 20*T1^10*T2^15 + 
     10*T1^11*T2^15 + 10*T1^12*T2^15 - 20*T1^13*T2^15 - 30*T1^14*T2^15 + 
     40*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)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 295] -> 
  {(1 - 9*T + 26*T^2 - 35*T^3 + 26*T^4 - 9*T^5 + T^6)/T^3, 
   -((1 - 9*T1 + 26*T1^2 - 35*T1^3 + 26*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
      74*T1*T2 - 155*T1^2*T2 + 79*T1^3*T2 + 79*T1^4*T2 - 155*T1^5*T2 + 
      74*T1^6*T2 - 9*T1^7*T2 + 26*T2^2 - 155*T1*T2^2 - 75*T1^2*T2^2 + 
      1104*T1^3*T2^2 - 1627*T1^4*T2^2 + 1104*T1^5*T2^2 - 75*T1^6*T2^2 - 
      155*T1^7*T2^2 + 26*T1^8*T2^2 - 35*T2^3 + 79*T1*T2^3 + 1104*T1^2*T2^3 - 
      3060*T1^3*T2^3 + 1559*T1^4*T2^3 + 1559*T1^5*T2^3 - 3060*T1^6*T2^3 + 
      1104*T1^7*T2^3 + 79*T1^8*T2^3 - 35*T1^9*T2^3 + 26*T2^4 + 79*T1*T2^4 - 
      1627*T1^2*T2^4 + 1559*T1^3*T2^4 + 4980*T1^4*T2^4 - 8282*T1^5*T2^4 + 
      4980*T1^6*T2^4 + 1559*T1^7*T2^4 - 1627*T1^8*T2^4 + 79*T1^9*T2^4 + 
      26*T1^10*T2^4 - 9*T2^5 - 155*T1*T2^5 + 1104*T1^2*T2^5 + 
      1559*T1^3*T2^5 - 8282*T1^4*T2^5 + 4328*T1^5*T2^5 + 4328*T1^6*T2^5 - 
      8282*T1^7*T2^5 + 1559*T1^8*T2^5 + 1104*T1^9*T2^5 - 155*T1^10*T2^5 - 
      9*T1^11*T2^5 + T2^6 + 74*T1*T2^6 - 75*T1^2*T2^6 - 3060*T1^3*T2^6 + 
      4980*T1^4*T2^6 + 4328*T1^5*T2^6 - 9072*T1^6*T2^6 + 4328*T1^7*T2^6 + 
      4980*T1^8*T2^6 - 3060*T1^9*T2^6 - 75*T1^10*T2^6 + 74*T1^11*T2^6 + 
      T1^12*T2^6 - 9*T1*T2^7 - 155*T1^2*T2^7 + 1104*T1^3*T2^7 + 
      1559*T1^4*T2^7 - 8282*T1^5*T2^7 + 4328*T1^6*T2^7 + 4328*T1^7*T2^7 - 
      8282*T1^8*T2^7 + 1559*T1^9*T2^7 + 1104*T1^10*T2^7 - 155*T1^11*T2^7 - 
      9*T1^12*T2^7 + 26*T1^2*T2^8 + 79*T1^3*T2^8 - 1627*T1^4*T2^8 + 
      1559*T1^5*T2^8 + 4980*T1^6*T2^8 - 8282*T1^7*T2^8 + 4980*T1^8*T2^8 + 
      1559*T1^9*T2^8 - 1627*T1^10*T2^8 + 79*T1^11*T2^8 + 26*T1^12*T2^8 - 
      35*T1^3*T2^9 + 79*T1^4*T2^9 + 1104*T1^5*T2^9 - 3060*T1^6*T2^9 + 
      1559*T1^7*T2^9 + 1559*T1^8*T2^9 - 3060*T1^9*T2^9 + 1104*T1^10*T2^9 + 
      79*T1^11*T2^9 - 35*T1^12*T2^9 + 26*T1^4*T2^10 - 155*T1^5*T2^10 - 
      75*T1^6*T2^10 + 1104*T1^7*T2^10 - 1627*T1^8*T2^10 + 1104*T1^9*T2^10 - 
      75*T1^10*T2^10 - 155*T1^11*T2^10 + 26*T1^12*T2^10 - 9*T1^5*T2^11 + 
      74*T1^6*T2^11 - 155*T1^7*T2^11 + 79*T1^8*T2^11 + 79*T1^9*T2^11 - 
      155*T1^10*T2^11 + 74*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 
      9*T1^7*T2^12 + 26*T1^8*T2^12 - 35*T1^9*T2^12 + 26*T1^10*T2^12 - 
      9*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   (2 - 10*T1 + 16*T1^2 - 8*T1^3 + 2*T1^4 - 8*T1^5 + 16*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 30*T1^2*T2 - 40*T1^3*T2 + 30*T1^4*T2 + 
     30*T1^5*T2 - 40*T1^6*T2 - 30*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     16*T2^2 - 30*T1*T2^2 - 104*T1^2*T2^2 + 250*T1^3*T2^2 - 51*T1^4*T2^2 - 
     82*T1^5*T2^2 - 51*T1^6*T2^2 + 250*T1^7*T2^2 - 104*T1^8*T2^2 - 
     30*T1^9*T2^2 + 16*T1^10*T2^2 - 8*T2^3 - 40*T1*T2^3 + 250*T1^2*T2^3 - 
     204*T1^3*T2^3 - 285*T1^4*T2^3 + 205*T1^5*T2^3 + 205*T1^6*T2^3 - 
     285*T1^7*T2^3 - 204*T1^8*T2^3 + 250*T1^9*T2^3 - 40*T1^10*T2^3 - 
     8*T1^11*T2^3 + 2*T2^4 + 30*T1*T2^4 - 51*T1^2*T2^4 - 285*T1^3*T2^4 + 
     627*T1^4*T2^4 - 131*T1^5*T2^4 - 203*T1^6*T2^4 - 131*T1^7*T2^4 + 
     627*T1^8*T2^4 - 285*T1^9*T2^4 - 51*T1^10*T2^4 + 30*T1^11*T2^4 + 
     2*T1^12*T2^4 - 8*T2^5 + 30*T1*T2^5 - 82*T1^2*T2^5 + 205*T1^3*T2^5 - 
     131*T1^4*T2^5 - 244*T1^5*T2^5 + 180*T1^6*T2^5 + 180*T1^7*T2^5 - 
     244*T1^8*T2^5 - 131*T1^9*T2^5 + 205*T1^10*T2^5 - 82*T1^11*T2^5 + 
     30*T1^12*T2^5 - 8*T1^13*T2^5 + 16*T2^6 - 40*T1*T2^6 - 51*T1^2*T2^6 + 
     205*T1^3*T2^6 - 203*T1^4*T2^6 + 180*T1^5*T2^6 - 120*T1^6*T2^6 + 
     48*T1^7*T2^6 - 120*T1^8*T2^6 + 180*T1^9*T2^6 - 203*T1^10*T2^6 + 
     205*T1^11*T2^6 - 51*T1^12*T2^6 - 40*T1^13*T2^6 + 16*T1^14*T2^6 - 
     10*T2^7 - 30*T1*T2^7 + 250*T1^2*T2^7 - 285*T1^3*T2^7 - 131*T1^4*T2^7 + 
     180*T1^5*T2^7 + 48*T1^6*T2^7 - 28*T1^7*T2^7 - 28*T1^8*T2^7 + 
     48*T1^9*T2^7 + 180*T1^10*T2^7 - 131*T1^11*T2^7 - 285*T1^12*T2^7 + 
     250*T1^13*T2^7 - 30*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 - 
     104*T1^2*T2^8 - 204*T1^3*T2^8 + 627*T1^4*T2^8 - 244*T1^5*T2^8 - 
     120*T1^6*T2^8 - 28*T1^7*T2^8 + 84*T1^8*T2^8 - 28*T1^9*T2^8 - 
     120*T1^10*T2^8 - 244*T1^11*T2^8 + 627*T1^12*T2^8 - 204*T1^13*T2^8 - 
     104*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     30*T1^2*T2^9 + 250*T1^3*T2^9 - 285*T1^4*T2^9 - 131*T1^5*T2^9 + 
     180*T1^6*T2^9 + 48*T1^7*T2^9 - 28*T1^8*T2^9 - 28*T1^9*T2^9 + 
     48*T1^10*T2^9 + 180*T1^11*T2^9 - 131*T1^12*T2^9 - 285*T1^13*T2^9 + 
     250*T1^14*T2^9 - 30*T1^15*T2^9 - 10*T1^16*T2^9 + 16*T1^2*T2^10 - 
     40*T1^3*T2^10 - 51*T1^4*T2^10 + 205*T1^5*T2^10 - 203*T1^6*T2^10 + 
     180*T1^7*T2^10 - 120*T1^8*T2^10 + 48*T1^9*T2^10 - 120*T1^10*T2^10 + 
     180*T1^11*T2^10 - 203*T1^12*T2^10 + 205*T1^13*T2^10 - 51*T1^14*T2^10 - 
     40*T1^15*T2^10 + 16*T1^16*T2^10 - 8*T1^3*T2^11 + 30*T1^4*T2^11 - 
     82*T1^5*T2^11 + 205*T1^6*T2^11 - 131*T1^7*T2^11 - 244*T1^8*T2^11 + 
     180*T1^9*T2^11 + 180*T1^10*T2^11 - 244*T1^11*T2^11 - 131*T1^12*T2^11 + 
     205*T1^13*T2^11 - 82*T1^14*T2^11 + 30*T1^15*T2^11 - 8*T1^16*T2^11 + 
     2*T1^4*T2^12 + 30*T1^5*T2^12 - 51*T1^6*T2^12 - 285*T1^7*T2^12 + 
     627*T1^8*T2^12 - 131*T1^9*T2^12 - 203*T1^10*T2^12 - 131*T1^11*T2^12 + 
     627*T1^12*T2^12 - 285*T1^13*T2^12 - 51*T1^14*T2^12 + 30*T1^15*T2^12 + 
     2*T1^16*T2^12 - 8*T1^5*T2^13 - 40*T1^6*T2^13 + 250*T1^7*T2^13 - 
     204*T1^8*T2^13 - 285*T1^9*T2^13 + 205*T1^10*T2^13 + 205*T1^11*T2^13 - 
     285*T1^12*T2^13 - 204*T1^13*T2^13 + 250*T1^14*T2^13 - 40*T1^15*T2^13 - 
     8*T1^16*T2^13 + 16*T1^6*T2^14 - 30*T1^7*T2^14 - 104*T1^8*T2^14 + 
     250*T1^9*T2^14 - 51*T1^10*T2^14 - 82*T1^11*T2^14 - 51*T1^12*T2^14 + 
     250*T1^13*T2^14 - 104*T1^14*T2^14 - 30*T1^15*T2^14 + 16*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 30*T1^9*T2^15 - 40*T1^10*T2^15 + 
     30*T1^11*T2^15 + 30*T1^12*T2^15 - 40*T1^13*T2^15 - 30*T1^14*T2^15 + 
     40*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)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 297] -> 
  {((1 - 3*T + T^2)*(2 - 5*T + 5*T^2 - 5*T^3 + 2*T^4))/T^3, 
   (9 - 49*T1 + 96*T1^2 - 107*T1^3 + 96*T1^4 - 49*T1^5 + 9*T1^6 - 49*T2 + 
     218*T1*T2 - 257*T1^2*T2 + 61*T1^3*T2 + 61*T1^4*T2 - 257*T1^5*T2 + 
     218*T1^6*T2 - 49*T1^7*T2 + 96*T2^2 - 257*T1*T2^2 - 316*T1^2*T2^2 + 
     1152*T1^3*T2^2 - 1110*T1^4*T2^2 + 1152*T1^5*T2^2 - 316*T1^6*T2^2 - 
     257*T1^7*T2^2 + 96*T1^8*T2^2 - 107*T2^3 + 61*T1*T2^3 + 1152*T1^2*T2^3 - 
     1608*T1^3*T2^3 + 209*T1^4*T2^3 + 209*T1^5*T2^3 - 1608*T1^6*T2^3 + 
     1152*T1^7*T2^3 + 61*T1^8*T2^3 - 107*T1^9*T2^3 + 96*T2^4 + 61*T1*T2^4 - 
     1110*T1^2*T2^4 + 209*T1^3*T2^4 + 2262*T1^4*T2^4 - 2120*T1^5*T2^4 + 
     2262*T1^6*T2^4 + 209*T1^7*T2^4 - 1110*T1^8*T2^4 + 61*T1^9*T2^4 + 
     96*T1^10*T2^4 - 49*T2^5 - 257*T1*T2^5 + 1152*T1^2*T2^5 + 209*T1^3*T2^5 - 
     2120*T1^4*T2^5 + 530*T1^5*T2^5 + 530*T1^6*T2^5 - 2120*T1^7*T2^5 + 
     209*T1^8*T2^5 + 1152*T1^9*T2^5 - 257*T1^10*T2^5 - 49*T1^11*T2^5 + 
     9*T2^6 + 218*T1*T2^6 - 316*T1^2*T2^6 - 1608*T1^3*T2^6 + 2262*T1^4*T2^6 + 
     530*T1^5*T2^6 - 1092*T1^6*T2^6 + 530*T1^7*T2^6 + 2262*T1^8*T2^6 - 
     1608*T1^9*T2^6 - 316*T1^10*T2^6 + 218*T1^11*T2^6 + 9*T1^12*T2^6 - 
     49*T1*T2^7 - 257*T1^2*T2^7 + 1152*T1^3*T2^7 + 209*T1^4*T2^7 - 
     2120*T1^5*T2^7 + 530*T1^6*T2^7 + 530*T1^7*T2^7 - 2120*T1^8*T2^7 + 
     209*T1^9*T2^7 + 1152*T1^10*T2^7 - 257*T1^11*T2^7 - 49*T1^12*T2^7 + 
     96*T1^2*T2^8 + 61*T1^3*T2^8 - 1110*T1^4*T2^8 + 209*T1^5*T2^8 + 
     2262*T1^6*T2^8 - 2120*T1^7*T2^8 + 2262*T1^8*T2^8 + 209*T1^9*T2^8 - 
     1110*T1^10*T2^8 + 61*T1^11*T2^8 + 96*T1^12*T2^8 - 107*T1^3*T2^9 + 
     61*T1^4*T2^9 + 1152*T1^5*T2^9 - 1608*T1^6*T2^9 + 209*T1^7*T2^9 + 
     209*T1^8*T2^9 - 1608*T1^9*T2^9 + 1152*T1^10*T2^9 + 61*T1^11*T2^9 - 
     107*T1^12*T2^9 + 96*T1^4*T2^10 - 257*T1^5*T2^10 - 316*T1^6*T2^10 + 
     1152*T1^7*T2^10 - 1110*T1^8*T2^10 + 1152*T1^9*T2^10 - 316*T1^10*T2^10 - 
     257*T1^11*T2^10 + 96*T1^12*T2^10 - 49*T1^5*T2^11 + 218*T1^6*T2^11 - 
     257*T1^7*T2^11 + 61*T1^8*T2^11 + 61*T1^9*T2^11 - 257*T1^10*T2^11 + 
     218*T1^11*T2^11 - 49*T1^12*T2^11 + 9*T1^6*T2^12 - 49*T1^7*T2^12 + 
     96*T1^8*T2^12 - 107*T1^9*T2^12 + 96*T1^10*T2^12 - 49*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 298] -> 
  {-((1 - 7*T + 21*T^2 - 31*T^3 + 21*T^4 - 7*T^5 + T^6)/T^3), 
   (T1 - 2*T1^2 - 2*T1^3 + T1^4 + T2 - 14*T1*T2 + 35*T1^2*T2 - 22*T1^3*T2 + 
     35*T1^4*T2 - 14*T1^5*T2 + T1^6*T2 - 2*T2^2 + 35*T1*T2^2 - 68*T1^2*T2^2 - 
     20*T1^3*T2^2 - 20*T1^4*T2^2 - 68*T1^5*T2^2 + 35*T1^6*T2^2 - 
     2*T1^7*T2^2 - 2*T2^3 - 22*T1*T2^3 - 20*T1^2*T2^3 + 238*T1^3*T2^3 - 
     66*T1^4*T2^3 + 238*T1^5*T2^3 - 20*T1^6*T2^3 - 22*T1^7*T2^3 - 
     2*T1^8*T2^3 + T2^4 + 35*T1*T2^4 - 20*T1^2*T2^4 - 66*T1^3*T2^4 - 
     250*T1^4*T2^4 - 250*T1^5*T2^4 - 66*T1^6*T2^4 - 20*T1^7*T2^4 + 
     35*T1^8*T2^4 + T1^9*T2^4 - 14*T1*T2^5 - 68*T1^2*T2^5 + 238*T1^3*T2^5 - 
     250*T1^4*T2^5 + 924*T1^5*T2^5 - 250*T1^6*T2^5 + 238*T1^7*T2^5 - 
     68*T1^8*T2^5 - 14*T1^9*T2^5 + T1*T2^6 + 35*T1^2*T2^6 - 20*T1^3*T2^6 - 
     66*T1^4*T2^6 - 250*T1^5*T2^6 - 250*T1^6*T2^6 - 66*T1^7*T2^6 - 
     20*T1^8*T2^6 + 35*T1^9*T2^6 + T1^10*T2^6 - 2*T1^2*T2^7 - 22*T1^3*T2^7 - 
     20*T1^4*T2^7 + 238*T1^5*T2^7 - 66*T1^6*T2^7 + 238*T1^7*T2^7 - 
     20*T1^8*T2^7 - 22*T1^9*T2^7 - 2*T1^10*T2^7 - 2*T1^3*T2^8 + 
     35*T1^4*T2^8 - 68*T1^5*T2^8 - 20*T1^6*T2^8 - 20*T1^7*T2^8 - 
     68*T1^8*T2^8 + 35*T1^9*T2^8 - 2*T1^10*T2^8 + T1^4*T2^9 - 14*T1^5*T2^9 + 
     35*T1^6*T2^9 - 22*T1^7*T2^9 + 35*T1^8*T2^9 - 14*T1^9*T2^9 + T1^10*T2^9 + 
     T1^6*T2^10 - 2*T1^7*T2^10 - 2*T1^8*T2^10 + T1^9*T2^10)/(T1^5*T2^5)}, 
 Knot[12, NonAlternating, 299] -> 
  {-((3 - 12*T + 18*T^2 - 19*T^3 + 18*T^4 - 12*T^5 + 3*T^6)/T^3), 
   -((57 - 225*T1 + 331*T1^2 - 347*T1^3 + 331*T1^4 - 225*T1^5 + 57*T1^6 - 
      225*T2 + 664*T1*T2 - 420*T1^2*T2 + 63*T1^3*T2 + 63*T1^4*T2 - 
      420*T1^5*T2 + 664*T1^6*T2 - 225*T1^7*T2 + 331*T2^2 - 420*T1*T2^2 - 
      1250*T1^2*T2^2 + 1892*T1^3*T2^2 - 1648*T1^4*T2^2 + 1892*T1^5*T2^2 - 
      1250*T1^6*T2^2 - 420*T1^7*T2^2 + 331*T1^8*T2^2 - 347*T2^3 + 
      63*T1*T2^3 + 1892*T1^2*T2^3 - 966*T1^3*T2^3 - 106*T1^4*T2^3 - 
      106*T1^5*T2^3 - 966*T1^6*T2^3 + 1892*T1^7*T2^3 + 63*T1^8*T2^3 - 
      347*T1^9*T2^3 + 331*T2^4 + 63*T1*T2^4 - 1648*T1^2*T2^4 - 
      106*T1^3*T2^4 + 559*T1^4*T2^4 + 63*T1^5*T2^4 + 559*T1^6*T2^4 - 
      106*T1^7*T2^4 - 1648*T1^8*T2^4 + 63*T1^9*T2^4 + 331*T1^10*T2^4 - 
      225*T2^5 - 420*T1*T2^5 + 1892*T1^2*T2^5 - 106*T1^3*T2^5 + 
      63*T1^4*T2^5 - 292*T1^5*T2^5 - 292*T1^6*T2^5 + 63*T1^7*T2^5 - 
      106*T1^8*T2^5 + 1892*T1^9*T2^5 - 420*T1^10*T2^5 - 225*T1^11*T2^5 + 
      57*T2^6 + 664*T1*T2^6 - 1250*T1^2*T2^6 - 966*T1^3*T2^6 + 
      559*T1^4*T2^6 - 292*T1^5*T2^6 + 540*T1^6*T2^6 - 292*T1^7*T2^6 + 
      559*T1^8*T2^6 - 966*T1^9*T2^6 - 1250*T1^10*T2^6 + 664*T1^11*T2^6 + 
      57*T1^12*T2^6 - 225*T1*T2^7 - 420*T1^2*T2^7 + 1892*T1^3*T2^7 - 
      106*T1^4*T2^7 + 63*T1^5*T2^7 - 292*T1^6*T2^7 - 292*T1^7*T2^7 + 
      63*T1^8*T2^7 - 106*T1^9*T2^7 + 1892*T1^10*T2^7 - 420*T1^11*T2^7 - 
      225*T1^12*T2^7 + 331*T1^2*T2^8 + 63*T1^3*T2^8 - 1648*T1^4*T2^8 - 
      106*T1^5*T2^8 + 559*T1^6*T2^8 + 63*T1^7*T2^8 + 559*T1^8*T2^8 - 
      106*T1^9*T2^8 - 1648*T1^10*T2^8 + 63*T1^11*T2^8 + 331*T1^12*T2^8 - 
      347*T1^3*T2^9 + 63*T1^4*T2^9 + 1892*T1^5*T2^9 - 966*T1^6*T2^9 - 
      106*T1^7*T2^9 - 106*T1^8*T2^9 - 966*T1^9*T2^9 + 1892*T1^10*T2^9 + 
      63*T1^11*T2^9 - 347*T1^12*T2^9 + 331*T1^4*T2^10 - 420*T1^5*T2^10 - 
      1250*T1^6*T2^10 + 1892*T1^7*T2^10 - 1648*T1^8*T2^10 + 1892*T1^9*T2^10 - 
      1250*T1^10*T2^10 - 420*T1^11*T2^10 + 331*T1^12*T2^10 - 225*T1^5*T2^11 + 
      664*T1^6*T2^11 - 420*T1^7*T2^11 + 63*T1^8*T2^11 + 63*T1^9*T2^11 - 
      420*T1^10*T2^11 + 664*T1^11*T2^11 - 225*T1^12*T2^11 + 57*T1^6*T2^12 - 
      225*T1^7*T2^12 + 331*T1^8*T2^12 - 347*T1^9*T2^12 + 331*T1^10*T2^12 - 
      225*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 300] -> 
  {-((1 - 7*T + 18*T^2 - 25*T^3 + 18*T^4 - 7*T^5 + T^6)/T^3), 
   (2 - 6*T1 + 6*T1^2 + 6*T1^3 - 6*T1^4 + 2*T1^5 - 6*T2 + 3*T1*T2 + 
     28*T1^2*T2 - 87*T1^3*T2 + 28*T1^4*T2 + 3*T1^5*T2 - 6*T1^6*T2 + 6*T2^2 + 
     28*T1*T2^2 - 84*T1^2*T2^2 + 130*T1^3*T2^2 + 130*T1^4*T2^2 - 
     84*T1^5*T2^2 + 28*T1^6*T2^2 + 6*T1^7*T2^2 + 6*T2^3 - 87*T1*T2^3 + 
     130*T1^2*T2^3 - 130*T1^3*T2^3 - 266*T1^4*T2^3 - 130*T1^5*T2^3 + 
     130*T1^6*T2^3 - 87*T1^7*T2^3 + 6*T1^8*T2^3 - 6*T2^4 + 28*T1*T2^4 + 
     130*T1^2*T2^4 - 266*T1^3*T2^4 + 494*T1^4*T2^4 + 494*T1^5*T2^4 - 
     266*T1^6*T2^4 + 130*T1^7*T2^4 + 28*T1^8*T2^4 - 6*T1^9*T2^4 + 2*T2^5 + 
     3*T1*T2^5 - 84*T1^2*T2^5 - 130*T1^3*T2^5 + 494*T1^4*T2^5 - 
     1488*T1^5*T2^5 + 494*T1^6*T2^5 - 130*T1^7*T2^5 - 84*T1^8*T2^5 + 
     3*T1^9*T2^5 + 2*T1^10*T2^5 - 6*T1*T2^6 + 28*T1^2*T2^6 + 130*T1^3*T2^6 - 
     266*T1^4*T2^6 + 494*T1^5*T2^6 + 494*T1^6*T2^6 - 266*T1^7*T2^6 + 
     130*T1^8*T2^6 + 28*T1^9*T2^6 - 6*T1^10*T2^6 + 6*T1^2*T2^7 - 
     87*T1^3*T2^7 + 130*T1^4*T2^7 - 130*T1^5*T2^7 - 266*T1^6*T2^7 - 
     130*T1^7*T2^7 + 130*T1^8*T2^7 - 87*T1^9*T2^7 + 6*T1^10*T2^7 + 
     6*T1^3*T2^8 + 28*T1^4*T2^8 - 84*T1^5*T2^8 + 130*T1^6*T2^8 + 
     130*T1^7*T2^8 - 84*T1^8*T2^8 + 28*T1^9*T2^8 + 6*T1^10*T2^8 - 
     6*T1^4*T2^9 + 3*T1^5*T2^9 + 28*T1^6*T2^9 - 87*T1^7*T2^9 + 28*T1^8*T2^9 + 
     3*T1^9*T2^9 - 6*T1^10*T2^9 + 2*T1^5*T2^10 - 6*T1^6*T2^10 + 
     6*T1^7*T2^10 + 6*T1^8*T2^10 - 6*T1^9*T2^10 + 2*T1^10*T2^10)/
    (T1^5*T2^5)}, 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), -((1 - 5*T1 + 10*T1^2 - 12*T1^3 + 11*T1^4 - 12*T1^5 + 10*T1^6 - 
      5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 25*T1^2*T2 + 10*T1^3*T2 + 5*T1^4*T2 + 
      5*T1^5*T2 + 10*T1^6*T2 - 25*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
      10*T2^2 - 25*T1*T2^2 - 13*T1^2*T2^2 + 74*T1^3*T2^2 - 83*T1^4*T2^2 + 
      29*T1^5*T2^2 - 83*T1^6*T2^2 + 74*T1^7*T2^2 - 13*T1^8*T2^2 - 
      25*T1^9*T2^2 + 10*T1^10*T2^2 - 12*T2^3 + 10*T1*T2^3 + 74*T1^2*T2^3 - 
      108*T1^3*T2^3 + 29*T1^4*T2^3 + 67*T1^5*T2^3 + 67*T1^6*T2^3 + 
      29*T1^7*T2^3 - 108*T1^8*T2^3 + 74*T1^9*T2^3 + 10*T1^10*T2^3 - 
      12*T1^11*T2^3 + 11*T2^4 + 5*T1*T2^4 - 83*T1^2*T2^4 + 29*T1^3*T2^4 + 
      98*T1^4*T2^4 - 130*T1^5*T2^4 - 64*T1^6*T2^4 - 130*T1^7*T2^4 + 
      98*T1^8*T2^4 + 29*T1^9*T2^4 - 83*T1^10*T2^4 + 5*T1^11*T2^4 + 
      11*T1^12*T2^4 - 12*T2^5 + 5*T1*T2^5 + 29*T1^2*T2^5 + 67*T1^3*T2^5 - 
      130*T1^4*T2^5 + 56*T1^5*T2^5 + 96*T1^6*T2^5 + 96*T1^7*T2^5 + 
      56*T1^8*T2^5 - 130*T1^9*T2^5 + 67*T1^10*T2^5 + 29*T1^11*T2^5 + 
      5*T1^12*T2^5 - 12*T1^13*T2^5 + 10*T2^6 + 10*T1*T2^6 - 83*T1^2*T2^6 + 
      67*T1^3*T2^6 - 64*T1^4*T2^6 + 96*T1^5*T2^6 - 130*T1^6*T2^6 + 
      40*T1^7*T2^6 - 130*T1^8*T2^6 + 96*T1^9*T2^6 - 64*T1^10*T2^6 + 
      67*T1^11*T2^6 - 83*T1^12*T2^6 + 10*T1^13*T2^6 + 10*T1^14*T2^6 - 
      5*T2^7 - 25*T1*T2^7 + 74*T1^2*T2^7 + 29*T1^3*T2^7 - 130*T1^4*T2^7 + 
      96*T1^5*T2^7 + 40*T1^6*T2^7 - 54*T1^7*T2^7 - 54*T1^8*T2^7 + 
      40*T1^9*T2^7 + 96*T1^10*T2^7 - 130*T1^11*T2^7 + 29*T1^12*T2^7 + 
      74*T1^13*T2^7 - 25*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 - 
      13*T1^2*T2^8 - 108*T1^3*T2^8 + 98*T1^4*T2^8 + 56*T1^5*T2^8 - 
      130*T1^6*T2^8 - 54*T1^7*T2^8 + 252*T1^8*T2^8 - 54*T1^9*T2^8 - 
      130*T1^10*T2^8 + 56*T1^11*T2^8 + 98*T1^12*T2^8 - 108*T1^13*T2^8 - 
      13*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 25*T1^2*T2^9 + 
      74*T1^3*T2^9 + 29*T1^4*T2^9 - 130*T1^5*T2^9 + 96*T1^6*T2^9 + 
      40*T1^7*T2^9 - 54*T1^8*T2^9 - 54*T1^9*T2^9 + 40*T1^10*T2^9 + 
      96*T1^11*T2^9 - 130*T1^12*T2^9 + 29*T1^13*T2^9 + 74*T1^14*T2^9 - 
      25*T1^15*T2^9 - 5*T1^16*T2^9 + 10*T1^2*T2^10 + 10*T1^3*T2^10 - 
      83*T1^4*T2^10 + 67*T1^5*T2^10 - 64*T1^6*T2^10 + 96*T1^7*T2^10 - 
      130*T1^8*T2^10 + 40*T1^9*T2^10 - 130*T1^10*T2^10 + 96*T1^11*T2^10 - 
      64*T1^12*T2^10 + 67*T1^13*T2^10 - 83*T1^14*T2^10 + 10*T1^15*T2^10 + 
      10*T1^16*T2^10 - 12*T1^3*T2^11 + 5*T1^4*T2^11 + 29*T1^5*T2^11 + 
      67*T1^6*T2^11 - 130*T1^7*T2^11 + 56*T1^8*T2^11 + 96*T1^9*T2^11 + 
      96*T1^10*T2^11 + 56*T1^11*T2^11 - 130*T1^12*T2^11 + 67*T1^13*T2^11 + 
      29*T1^14*T2^11 + 5*T1^15*T2^11 - 12*T1^16*T2^11 + 11*T1^4*T2^12 + 
      5*T1^5*T2^12 - 83*T1^6*T2^12 + 29*T1^7*T2^12 + 98*T1^8*T2^12 - 
      130*T1^9*T2^12 - 64*T1^10*T2^12 - 130*T1^11*T2^12 + 98*T1^12*T2^12 + 
      29*T1^13*T2^12 - 83*T1^14*T2^12 + 5*T1^15*T2^12 + 11*T1^16*T2^12 - 
      12*T1^5*T2^13 + 10*T1^6*T2^13 + 74*T1^7*T2^13 - 108*T1^8*T2^13 + 
      29*T1^9*T2^13 + 67*T1^10*T2^13 + 67*T1^11*T2^13 + 29*T1^12*T2^13 - 
      108*T1^13*T2^13 + 74*T1^14*T2^13 + 10*T1^15*T2^13 - 12*T1^16*T2^13 + 
      10*T1^6*T2^14 - 25*T1^7*T2^14 - 13*T1^8*T2^14 + 74*T1^9*T2^14 - 
      83*T1^10*T2^14 + 29*T1^11*T2^14 - 83*T1^12*T2^14 + 74*T1^13*T2^14 - 
      13*T1^14*T2^14 - 25*T1^15*T2^14 + 10*T1^16*T2^14 - 5*T1^7*T2^15 + 
      20*T1^8*T2^15 - 25*T1^9*T2^15 + 10*T1^10*T2^15 + 5*T1^11*T2^15 + 
      5*T1^12*T2^15 + 10*T1^13*T2^15 - 25*T1^14*T2^15 + 20*T1^15*T2^15 - 
      5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 10*T1^10*T2^16 - 
      12*T1^11*T2^16 + 11*T1^12*T2^16 - 12*T1^13*T2^16 + 10*T1^14*T2^16 - 
      5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 302] -> 
  {(1 - 9*T + 27*T^2 - 37*T^3 + 27*T^4 - 9*T^5 + T^6)/T^3, 
   (1 - 9*T1 + 27*T1^2 - 37*T1^3 + 27*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
     72*T1*T2 - 162*T1^2*T2 + 90*T1^3*T2 + 90*T1^4*T2 - 162*T1^5*T2 + 
     72*T1^6*T2 - 9*T1^7*T2 + 27*T2^2 - 162*T1*T2^2 + 56*T1^2*T2^2 + 
     818*T1^3*T2^2 - 1350*T1^4*T2^2 + 818*T1^5*T2^2 + 56*T1^6*T2^2 - 
     162*T1^7*T2^2 + 27*T1^8*T2^2 - 37*T2^3 + 90*T1*T2^3 + 818*T1^2*T2^3 - 
     2614*T1^3*T2^3 + 1500*T1^4*T2^3 + 1500*T1^5*T2^3 - 2614*T1^6*T2^3 + 
     818*T1^7*T2^3 + 90*T1^8*T2^3 - 37*T1^9*T2^3 + 27*T2^4 + 90*T1*T2^4 - 
     1350*T1^2*T2^4 + 1500*T1^3*T2^4 + 4076*T1^4*T2^4 - 7554*T1^5*T2^4 + 
     4076*T1^6*T2^4 + 1500*T1^7*T2^4 - 1350*T1^8*T2^4 + 90*T1^9*T2^4 + 
     27*T1^10*T2^4 - 9*T2^5 - 162*T1*T2^5 + 818*T1^2*T2^5 + 1500*T1^3*T2^5 - 
     7554*T1^4*T2^5 + 4512*T1^5*T2^5 + 4512*T1^6*T2^5 - 7554*T1^7*T2^5 + 
     1500*T1^8*T2^5 + 818*T1^9*T2^5 - 162*T1^10*T2^5 - 9*T1^11*T2^5 + T2^6 + 
     72*T1*T2^6 + 56*T1^2*T2^6 - 2614*T1^3*T2^6 + 4076*T1^4*T2^6 + 
     4512*T1^5*T2^6 - 10140*T1^6*T2^6 + 4512*T1^7*T2^6 + 4076*T1^8*T2^6 - 
     2614*T1^9*T2^6 + 56*T1^10*T2^6 + 72*T1^11*T2^6 + T1^12*T2^6 - 
     9*T1*T2^7 - 162*T1^2*T2^7 + 818*T1^3*T2^7 + 1500*T1^4*T2^7 - 
     7554*T1^5*T2^7 + 4512*T1^6*T2^7 + 4512*T1^7*T2^7 - 7554*T1^8*T2^7 + 
     1500*T1^9*T2^7 + 818*T1^10*T2^7 - 162*T1^11*T2^7 - 9*T1^12*T2^7 + 
     27*T1^2*T2^8 + 90*T1^3*T2^8 - 1350*T1^4*T2^8 + 1500*T1^5*T2^8 + 
     4076*T1^6*T2^8 - 7554*T1^7*T2^8 + 4076*T1^8*T2^8 + 1500*T1^9*T2^8 - 
     1350*T1^10*T2^8 + 90*T1^11*T2^8 + 27*T1^12*T2^8 - 37*T1^3*T2^9 + 
     90*T1^4*T2^9 + 818*T1^5*T2^9 - 2614*T1^6*T2^9 + 1500*T1^7*T2^9 + 
     1500*T1^8*T2^9 - 2614*T1^9*T2^9 + 818*T1^10*T2^9 + 90*T1^11*T2^9 - 
     37*T1^12*T2^9 + 27*T1^4*T2^10 - 162*T1^5*T2^10 + 56*T1^6*T2^10 + 
     818*T1^7*T2^10 - 1350*T1^8*T2^10 + 818*T1^9*T2^10 + 56*T1^10*T2^10 - 
     162*T1^11*T2^10 + 27*T1^12*T2^10 - 9*T1^5*T2^11 + 72*T1^6*T2^11 - 
     162*T1^7*T2^11 + 90*T1^8*T2^11 + 90*T1^9*T2^11 - 162*T1^10*T2^11 + 
     72*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 
     27*T1^8*T2^12 - 37*T1^9*T2^12 + 27*T1^10*T2^12 - 9*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 303] -> 
  {-((1 - 5*T + 9*T^2 - 11*T^3 + 9*T^4 - 5*T^5 + T^6)/T^3), 
   -((2 - 10*T1 + 18*T1^2 - 22*T1^3 + 18*T1^4 - 10*T1^5 + 2*T1^6 - 10*T2 + 
      42*T1*T2 - 41*T1^2*T2 + 22*T1^3*T2 + 22*T1^4*T2 - 41*T1^5*T2 + 
      42*T1^6*T2 - 10*T1^7*T2 + 18*T2^2 - 41*T1*T2^2 - 87*T1^2*T2^2 + 
      187*T1^3*T2^2 - 267*T1^4*T2^2 + 187*T1^5*T2^2 - 87*T1^6*T2^2 - 
      41*T1^7*T2^2 + 18*T1^8*T2^2 - 22*T2^3 + 22*T1*T2^3 + 187*T1^2*T2^3 - 
      164*T1^3*T2^3 + 118*T1^4*T2^3 + 118*T1^5*T2^3 - 164*T1^6*T2^3 + 
      187*T1^7*T2^3 + 22*T1^8*T2^3 - 22*T1^9*T2^3 + 18*T2^4 + 22*T1*T2^4 - 
      267*T1^2*T2^4 + 118*T1^3*T2^4 - 108*T1^4*T2^4 - 62*T1^5*T2^4 - 
      108*T1^6*T2^4 + 118*T1^7*T2^4 - 267*T1^8*T2^4 + 22*T1^9*T2^4 + 
      18*T1^10*T2^4 - 10*T2^5 - 41*T1*T2^5 + 187*T1^2*T2^5 + 118*T1^3*T2^5 - 
      62*T1^4*T2^5 + 146*T1^5*T2^5 + 146*T1^6*T2^5 - 62*T1^7*T2^5 + 
      118*T1^8*T2^5 + 187*T1^9*T2^5 - 41*T1^10*T2^5 - 10*T1^11*T2^5 + 
      2*T2^6 + 42*T1*T2^6 - 87*T1^2*T2^6 - 164*T1^3*T2^6 - 108*T1^4*T2^6 + 
      146*T1^5*T2^6 - 408*T1^6*T2^6 + 146*T1^7*T2^6 - 108*T1^8*T2^6 - 
      164*T1^9*T2^6 - 87*T1^10*T2^6 + 42*T1^11*T2^6 + 2*T1^12*T2^6 - 
      10*T1*T2^7 - 41*T1^2*T2^7 + 187*T1^3*T2^7 + 118*T1^4*T2^7 - 
      62*T1^5*T2^7 + 146*T1^6*T2^7 + 146*T1^7*T2^7 - 62*T1^8*T2^7 + 
      118*T1^9*T2^7 + 187*T1^10*T2^7 - 41*T1^11*T2^7 - 10*T1^12*T2^7 + 
      18*T1^2*T2^8 + 22*T1^3*T2^8 - 267*T1^4*T2^8 + 118*T1^5*T2^8 - 
      108*T1^6*T2^8 - 62*T1^7*T2^8 - 108*T1^8*T2^8 + 118*T1^9*T2^8 - 
      267*T1^10*T2^8 + 22*T1^11*T2^8 + 18*T1^12*T2^8 - 22*T1^3*T2^9 + 
      22*T1^4*T2^9 + 187*T1^5*T2^9 - 164*T1^6*T2^9 + 118*T1^7*T2^9 + 
      118*T1^8*T2^9 - 164*T1^9*T2^9 + 187*T1^10*T2^9 + 22*T1^11*T2^9 - 
      22*T1^12*T2^9 + 18*T1^4*T2^10 - 41*T1^5*T2^10 - 87*T1^6*T2^10 + 
      187*T1^7*T2^10 - 267*T1^8*T2^10 + 187*T1^9*T2^10 - 87*T1^10*T2^10 - 
      41*T1^11*T2^10 + 18*T1^12*T2^10 - 10*T1^5*T2^11 + 42*T1^6*T2^11 - 
      41*T1^7*T2^11 + 22*T1^8*T2^11 + 22*T1^9*T2^11 - 41*T1^10*T2^11 + 
      42*T1^11*T2^11 - 10*T1^12*T2^11 + 2*T1^6*T2^12 - 10*T1^7*T2^12 + 
      18*T1^8*T2^12 - 22*T1^9*T2^12 + 18*T1^10*T2^12 - 10*T1^11*T2^12 + 
      2*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 304] -> 
  {(3 - 9*T + 15*T^2 - 17*T^3 + 15*T^4 - 9*T^5 + 3*T^6)/T^3, 
   -((30 - 90*T1 + 148*T1^2 - 166*T1^3 + 148*T1^4 - 90*T1^5 + 30*T1^6 - 
      90*T2 + 178*T1*T2 - 173*T1^2*T2 + 54*T1^3*T2 + 54*T1^4*T2 - 
      173*T1^5*T2 + 178*T1^6*T2 - 90*T1^7*T2 + 148*T2^2 - 173*T1*T2^2 + 
      66*T1^2*T2^2 + 114*T1^3*T2^2 - 116*T1^4*T2^2 + 114*T1^5*T2^2 + 
      66*T1^6*T2^2 - 173*T1^7*T2^2 + 148*T1^8*T2^2 - 166*T2^3 + 54*T1*T2^3 + 
      114*T1^2*T2^3 - 252*T1^3*T2^3 + 56*T1^4*T2^3 + 56*T1^5*T2^3 - 
      252*T1^6*T2^3 + 114*T1^7*T2^3 + 54*T1^8*T2^3 - 166*T1^9*T2^3 + 
      148*T2^4 + 54*T1*T2^4 - 116*T1^2*T2^4 + 56*T1^3*T2^4 + 340*T1^4*T2^4 - 
      394*T1^5*T2^4 + 340*T1^6*T2^4 + 56*T1^7*T2^4 - 116*T1^8*T2^4 + 
      54*T1^9*T2^4 + 148*T1^10*T2^4 - 90*T2^5 - 173*T1*T2^5 + 114*T1^2*T2^5 + 
      56*T1^3*T2^5 - 394*T1^4*T2^5 + 144*T1^5*T2^5 + 144*T1^6*T2^5 - 
      394*T1^7*T2^5 + 56*T1^8*T2^5 + 114*T1^9*T2^5 - 173*T1^10*T2^5 - 
      90*T1^11*T2^5 + 30*T2^6 + 178*T1*T2^6 + 66*T1^2*T2^6 - 252*T1^3*T2^6 + 
      340*T1^4*T2^6 + 144*T1^5*T2^6 - 288*T1^6*T2^6 + 144*T1^7*T2^6 + 
      340*T1^8*T2^6 - 252*T1^9*T2^6 + 66*T1^10*T2^6 + 178*T1^11*T2^6 + 
      30*T1^12*T2^6 - 90*T1*T2^7 - 173*T1^2*T2^7 + 114*T1^3*T2^7 + 
      56*T1^4*T2^7 - 394*T1^5*T2^7 + 144*T1^6*T2^7 + 144*T1^7*T2^7 - 
      394*T1^8*T2^7 + 56*T1^9*T2^7 + 114*T1^10*T2^7 - 173*T1^11*T2^7 - 
      90*T1^12*T2^7 + 148*T1^2*T2^8 + 54*T1^3*T2^8 - 116*T1^4*T2^8 + 
      56*T1^5*T2^8 + 340*T1^6*T2^8 - 394*T1^7*T2^8 + 340*T1^8*T2^8 + 
      56*T1^9*T2^8 - 116*T1^10*T2^8 + 54*T1^11*T2^8 + 148*T1^12*T2^8 - 
      166*T1^3*T2^9 + 54*T1^4*T2^9 + 114*T1^5*T2^9 - 252*T1^6*T2^9 + 
      56*T1^7*T2^9 + 56*T1^8*T2^9 - 252*T1^9*T2^9 + 114*T1^10*T2^9 + 
      54*T1^11*T2^9 - 166*T1^12*T2^9 + 148*T1^4*T2^10 - 173*T1^5*T2^10 + 
      66*T1^6*T2^10 + 114*T1^7*T2^10 - 116*T1^8*T2^10 + 114*T1^9*T2^10 + 
      66*T1^10*T2^10 - 173*T1^11*T2^10 + 148*T1^12*T2^10 - 90*T1^5*T2^11 + 
      178*T1^6*T2^11 - 173*T1^7*T2^11 + 54*T1^8*T2^11 + 54*T1^9*T2^11 - 
      173*T1^10*T2^11 + 178*T1^11*T2^11 - 90*T1^12*T2^11 + 30*T1^6*T2^12 - 
      90*T1^7*T2^12 + 148*T1^8*T2^12 - 166*T1^9*T2^12 + 148*T1^10*T2^12 - 
      90*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   (33 - 65*T1 + 64*T1^2 - 47*T1^3 + 47*T1^4 - 47*T1^5 + 64*T1^6 - 65*T1^7 + 
     33*T1^8 - 65*T2 + 64*T1*T2 + T1^2*T2 - 33*T1^3*T2 - 33*T1^6*T2 + 
     T1^7*T2 + 64*T1^8*T2 - 65*T1^9*T2 + 64*T2^2 + T1*T2^2 - 70*T1^2*T2^2 + 
     42*T1^3*T2^2 + 21*T1^4*T2^2 + 10*T1^5*T2^2 + 21*T1^6*T2^2 + 
     42*T1^7*T2^2 - 70*T1^8*T2^2 + T1^9*T2^2 + 64*T1^10*T2^2 - 47*T2^3 - 
     33*T1*T2^3 + 42*T1^2*T2^3 + 14*T1^3*T2^3 - 37*T1^4*T2^3 - 21*T1^5*T2^3 - 
     21*T1^6*T2^3 - 37*T1^7*T2^3 + 14*T1^8*T2^3 + 42*T1^9*T2^3 - 
     33*T1^10*T2^3 - 47*T1^11*T2^3 + 47*T2^4 + 21*T1^2*T2^4 - 37*T1^3*T2^4 + 
     36*T1^4*T2^4 - 11*T1^5*T2^4 + 66*T1^6*T2^4 - 11*T1^7*T2^4 + 
     36*T1^8*T2^4 - 37*T1^9*T2^4 + 21*T1^10*T2^4 + 47*T1^12*T2^4 - 47*T2^5 + 
     10*T1^2*T2^5 - 21*T1^3*T2^5 - 11*T1^4*T2^5 + 6*T1^5*T2^5 - 
     30*T1^6*T2^5 - 30*T1^7*T2^5 + 6*T1^8*T2^5 - 11*T1^9*T2^5 - 
     21*T1^10*T2^5 + 10*T1^11*T2^5 - 47*T1^13*T2^5 + 64*T2^6 - 33*T1*T2^6 + 
     21*T1^2*T2^6 - 21*T1^3*T2^6 + 66*T1^4*T2^6 - 30*T1^5*T2^6 + 
     39*T1^6*T2^6 - 11*T1^7*T2^6 + 39*T1^8*T2^6 - 30*T1^9*T2^6 + 
     66*T1^10*T2^6 - 21*T1^11*T2^6 + 21*T1^12*T2^6 - 33*T1^13*T2^6 + 
     64*T1^14*T2^6 - 65*T2^7 + T1*T2^7 + 42*T1^2*T2^7 - 37*T1^3*T2^7 - 
     11*T1^4*T2^7 - 30*T1^5*T2^7 - 11*T1^6*T2^7 - 11*T1^9*T2^7 - 
     30*T1^10*T2^7 - 11*T1^11*T2^7 - 37*T1^12*T2^7 + 42*T1^13*T2^7 + 
     T1^14*T2^7 - 65*T1^15*T2^7 + 33*T2^8 + 64*T1*T2^8 - 70*T1^2*T2^8 + 
     14*T1^3*T2^8 + 36*T1^4*T2^8 + 6*T1^5*T2^8 + 39*T1^6*T2^8 - 
     12*T1^8*T2^8 + 39*T1^10*T2^8 + 6*T1^11*T2^8 + 36*T1^12*T2^8 + 
     14*T1^13*T2^8 - 70*T1^14*T2^8 + 64*T1^15*T2^8 + 33*T1^16*T2^8 - 
     65*T1*T2^9 + T1^2*T2^9 + 42*T1^3*T2^9 - 37*T1^4*T2^9 - 11*T1^5*T2^9 - 
     30*T1^6*T2^9 - 11*T1^7*T2^9 - 11*T1^10*T2^9 - 30*T1^11*T2^9 - 
     11*T1^12*T2^9 - 37*T1^13*T2^9 + 42*T1^14*T2^9 + T1^15*T2^9 - 
     65*T1^16*T2^9 + 64*T1^2*T2^10 - 33*T1^3*T2^10 + 21*T1^4*T2^10 - 
     21*T1^5*T2^10 + 66*T1^6*T2^10 - 30*T1^7*T2^10 + 39*T1^8*T2^10 - 
     11*T1^9*T2^10 + 39*T1^10*T2^10 - 30*T1^11*T2^10 + 66*T1^12*T2^10 - 
     21*T1^13*T2^10 + 21*T1^14*T2^10 - 33*T1^15*T2^10 + 64*T1^16*T2^10 - 
     47*T1^3*T2^11 + 10*T1^5*T2^11 - 21*T1^6*T2^11 - 11*T1^7*T2^11 + 
     6*T1^8*T2^11 - 30*T1^9*T2^11 - 30*T1^10*T2^11 + 6*T1^11*T2^11 - 
     11*T1^12*T2^11 - 21*T1^13*T2^11 + 10*T1^14*T2^11 - 47*T1^16*T2^11 + 
     47*T1^4*T2^12 + 21*T1^6*T2^12 - 37*T1^7*T2^12 + 36*T1^8*T2^12 - 
     11*T1^9*T2^12 + 66*T1^10*T2^12 - 11*T1^11*T2^12 + 36*T1^12*T2^12 - 
     37*T1^13*T2^12 + 21*T1^14*T2^12 + 47*T1^16*T2^12 - 47*T1^5*T2^13 - 
     33*T1^6*T2^13 + 42*T1^7*T2^13 + 14*T1^8*T2^13 - 37*T1^9*T2^13 - 
     21*T1^10*T2^13 - 21*T1^11*T2^13 - 37*T1^12*T2^13 + 14*T1^13*T2^13 + 
     42*T1^14*T2^13 - 33*T1^15*T2^13 - 47*T1^16*T2^13 + 64*T1^6*T2^14 + 
     T1^7*T2^14 - 70*T1^8*T2^14 + 42*T1^9*T2^14 + 21*T1^10*T2^14 + 
     10*T1^11*T2^14 + 21*T1^12*T2^14 + 42*T1^13*T2^14 - 70*T1^14*T2^14 + 
     T1^15*T2^14 + 64*T1^16*T2^14 - 65*T1^7*T2^15 + 64*T1^8*T2^15 + 
     T1^9*T2^15 - 33*T1^10*T2^15 - 33*T1^13*T2^15 + T1^14*T2^15 + 
     64*T1^15*T2^15 - 65*T1^16*T2^15 + 33*T1^8*T2^16 - 65*T1^9*T2^16 + 
     64*T1^10*T2^16 - 47*T1^11*T2^16 + 47*T1^12*T2^16 - 47*T1^13*T2^16 + 
     64*T1^14*T2^16 - 65*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 306] -> 
  {-(((1 - 3*T + T^2)*(2 - 3*T + 2*T^2))/T^2), 
   -((9 - 41*T1 + 59*T1^2 - 41*T1^3 + 9*T1^4 - 41*T2 + 152*T1*T2 - 
      78*T1^2*T2 - 78*T1^3*T2 + 152*T1^4*T2 - 41*T1^5*T2 + 59*T2^2 - 
      78*T1*T2^2 - 501*T1^2*T2^2 + 771*T1^3*T2^2 - 501*T1^4*T2^2 - 
      78*T1^5*T2^2 + 59*T1^6*T2^2 - 41*T2^3 - 78*T1*T2^3 + 771*T1^2*T2^3 - 
      370*T1^3*T2^3 - 370*T1^4*T2^3 + 771*T1^5*T2^3 - 78*T1^6*T2^3 - 
      41*T1^7*T2^3 + 9*T2^4 + 152*T1*T2^4 - 501*T1^2*T2^4 - 370*T1^3*T2^4 + 
      708*T1^4*T2^4 - 370*T1^5*T2^4 - 501*T1^6*T2^4 + 152*T1^7*T2^4 + 
      9*T1^8*T2^4 - 41*T1*T2^5 - 78*T1^2*T2^5 + 771*T1^3*T2^5 - 
      370*T1^4*T2^5 - 370*T1^5*T2^5 + 771*T1^6*T2^5 - 78*T1^7*T2^5 - 
      41*T1^8*T2^5 + 59*T1^2*T2^6 - 78*T1^3*T2^6 - 501*T1^4*T2^6 + 
      771*T1^5*T2^6 - 501*T1^6*T2^6 - 78*T1^7*T2^6 + 59*T1^8*T2^6 - 
      41*T1^3*T2^7 + 152*T1^4*T2^7 - 78*T1^5*T2^7 - 78*T1^6*T2^7 + 
      152*T1^7*T2^7 - 41*T1^8*T2^7 + 9*T1^4*T2^8 - 41*T1^5*T2^8 + 
      59*T1^6*T2^8 - 41*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, NonAlternating, 307] -> {((2 - 3*T + 2*T^2)*(3 - 5*T + 3*T^2))/T^2, 
   -((51 - 165*T1 + 241*T1^2 - 165*T1^3 + 51*T1^4 - 165*T2 + 350*T1*T2 - 
      232*T1^2*T2 - 232*T1^3*T2 + 350*T1^4*T2 - 165*T1^5*T2 + 241*T2^2 - 
      232*T1*T2^2 - 121*T1^2*T2^2 + 555*T1^3*T2^2 - 121*T1^4*T2^2 - 
      232*T1^5*T2^2 + 241*T1^6*T2^2 - 165*T2^3 - 232*T1*T2^3 + 
      555*T1^2*T2^3 - 496*T1^3*T2^3 - 496*T1^4*T2^3 + 555*T1^5*T2^3 - 
      232*T1^6*T2^3 - 165*T1^7*T2^3 + 51*T2^4 + 350*T1*T2^4 - 121*T1^2*T2^4 - 
      496*T1^3*T2^4 + 1284*T1^4*T2^4 - 496*T1^5*T2^4 - 121*T1^6*T2^4 + 
      350*T1^7*T2^4 + 51*T1^8*T2^4 - 165*T1*T2^5 - 232*T1^2*T2^5 + 
      555*T1^3*T2^5 - 496*T1^4*T2^5 - 496*T1^5*T2^5 + 555*T1^6*T2^5 - 
      232*T1^7*T2^5 - 165*T1^8*T2^5 + 241*T1^2*T2^6 - 232*T1^3*T2^6 - 
      121*T1^4*T2^6 + 555*T1^5*T2^6 - 121*T1^6*T2^6 - 232*T1^7*T2^6 + 
      241*T1^8*T2^6 - 165*T1^3*T2^7 + 350*T1^4*T2^7 - 232*T1^5*T2^7 - 
      232*T1^6*T2^7 + 350*T1^7*T2^7 - 165*T1^8*T2^7 + 51*T1^4*T2^8 - 
      165*T1^5*T2^8 + 241*T1^6*T2^8 - 165*T1^7*T2^8 + 51*T1^8*T2^8)/
     (T1^4*T2^4))}, Knot[12, NonAlternating, 308] -> 
  {((2 - 3*T + 2*T^2)*(2 - 2*T + T^2 - 2*T^3 + 2*T^4))/T^3, 
   (208 - 508*T1 + 596*T1^2 - 536*T1^3 + 596*T1^4 - 508*T1^5 + 208*T1^6 - 
     508*T2 + 742*T1*T2 - 228*T1^2*T2 - 140*T1^3*T2 - 140*T1^4*T2 - 
     228*T1^5*T2 + 742*T1^6*T2 - 508*T1^7*T2 + 596*T2^2 - 228*T1*T2^2 - 
     773*T1^2*T2^2 + 693*T1^3*T2^2 + 45*T1^4*T2^2 + 693*T1^5*T2^2 - 
     773*T1^6*T2^2 - 228*T1^7*T2^2 + 596*T1^8*T2^2 - 536*T2^3 - 140*T1*T2^3 + 
     693*T1^2*T2^3 + 48*T1^3*T2^3 - 550*T1^4*T2^3 - 550*T1^5*T2^3 + 
     48*T1^6*T2^3 + 693*T1^7*T2^3 - 140*T1^8*T2^3 - 536*T1^9*T2^3 + 
     596*T2^4 - 140*T1*T2^4 + 45*T1^2*T2^4 - 550*T1^3*T2^4 + 582*T1^4*T2^4 + 
     176*T1^5*T2^4 + 582*T1^6*T2^4 - 550*T1^7*T2^4 + 45*T1^8*T2^4 - 
     140*T1^9*T2^4 + 596*T1^10*T2^4 - 508*T2^5 - 228*T1*T2^5 + 
     693*T1^2*T2^5 - 550*T1^3*T2^5 + 176*T1^4*T2^5 - 308*T1^5*T2^5 - 
     308*T1^6*T2^5 + 176*T1^7*T2^5 - 550*T1^8*T2^5 + 693*T1^9*T2^5 - 
     228*T1^10*T2^5 - 508*T1^11*T2^5 + 208*T2^6 + 742*T1*T2^6 - 
     773*T1^2*T2^6 + 48*T1^3*T2^6 + 582*T1^4*T2^6 - 308*T1^5*T2^6 + 
     540*T1^6*T2^6 - 308*T1^7*T2^6 + 582*T1^8*T2^6 + 48*T1^9*T2^6 - 
     773*T1^10*T2^6 + 742*T1^11*T2^6 + 208*T1^12*T2^6 - 508*T1*T2^7 - 
     228*T1^2*T2^7 + 693*T1^3*T2^7 - 550*T1^4*T2^7 + 176*T1^5*T2^7 - 
     308*T1^6*T2^7 - 308*T1^7*T2^7 + 176*T1^8*T2^7 - 550*T1^9*T2^7 + 
     693*T1^10*T2^7 - 228*T1^11*T2^7 - 508*T1^12*T2^7 + 596*T1^2*T2^8 - 
     140*T1^3*T2^8 + 45*T1^4*T2^8 - 550*T1^5*T2^8 + 582*T1^6*T2^8 + 
     176*T1^7*T2^8 + 582*T1^8*T2^8 - 550*T1^9*T2^8 + 45*T1^10*T2^8 - 
     140*T1^11*T2^8 + 596*T1^12*T2^8 - 536*T1^3*T2^9 - 140*T1^4*T2^9 + 
     693*T1^5*T2^9 + 48*T1^6*T2^9 - 550*T1^7*T2^9 - 550*T1^8*T2^9 + 
     48*T1^9*T2^9 + 693*T1^10*T2^9 - 140*T1^11*T2^9 - 536*T1^12*T2^9 + 
     596*T1^4*T2^10 - 228*T1^5*T2^10 - 773*T1^6*T2^10 + 693*T1^7*T2^10 + 
     45*T1^8*T2^10 + 693*T1^9*T2^10 - 773*T1^10*T2^10 - 228*T1^11*T2^10 + 
     596*T1^12*T2^10 - 508*T1^5*T2^11 + 742*T1^6*T2^11 - 228*T1^7*T2^11 - 
     140*T1^8*T2^11 - 140*T1^9*T2^11 - 228*T1^10*T2^11 + 742*T1^11*T2^11 - 
     508*T1^12*T2^11 + 208*T1^6*T2^12 - 508*T1^7*T2^12 + 596*T1^8*T2^12 - 
     536*T1^9*T2^12 + 596*T1^10*T2^12 - 508*T1^11*T2^12 + 208*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 309] -> 
  {((1 - T + T^3)*(1 - T^2 + T^3))/T^3, 
   -((1 - T1 - T1^2 + 3*T1^3 - T1^4 - T1^5 + T1^6 - T2 - 2*T1*T2 + 
      5*T1^2*T2 - 4*T1^3*T2 - 4*T1^4*T2 + 5*T1^5*T2 - 2*T1^6*T2 - T1^7*T2 - 
      T2^2 + 5*T1*T2^2 - 2*T1^2*T2^2 - 4*T1^3*T2^2 + 10*T1^4*T2^2 - 
      4*T1^5*T2^2 - 2*T1^6*T2^2 + 5*T1^7*T2^2 - T1^8*T2^2 + 3*T2^3 - 
      4*T1*T2^3 - 4*T1^2*T2^3 + 4*T1^3*T2^3 - 2*T1^4*T2^3 - 2*T1^5*T2^3 + 
      4*T1^6*T2^3 - 4*T1^7*T2^3 - 4*T1^8*T2^3 + 3*T1^9*T2^3 - T2^4 - 
      4*T1*T2^4 + 10*T1^2*T2^4 - 2*T1^3*T2^4 - 8*T1^4*T2^4 + 12*T1^5*T2^4 - 
      8*T1^6*T2^4 - 2*T1^7*T2^4 + 10*T1^8*T2^4 - 4*T1^9*T2^4 - T1^10*T2^4 - 
      T2^5 + 5*T1*T2^5 - 4*T1^2*T2^5 - 2*T1^3*T2^5 + 12*T1^4*T2^5 - 
      6*T1^5*T2^5 - 6*T1^6*T2^5 + 12*T1^7*T2^5 - 2*T1^8*T2^5 - 4*T1^9*T2^5 + 
      5*T1^10*T2^5 - T1^11*T2^5 + T2^6 - 2*T1*T2^6 - 2*T1^2*T2^6 + 
      4*T1^3*T2^6 - 8*T1^4*T2^6 - 6*T1^5*T2^6 + 12*T1^6*T2^6 - 6*T1^7*T2^6 - 
      8*T1^8*T2^6 + 4*T1^9*T2^6 - 2*T1^10*T2^6 - 2*T1^11*T2^6 + T1^12*T2^6 - 
      T1*T2^7 + 5*T1^2*T2^7 - 4*T1^3*T2^7 - 2*T1^4*T2^7 + 12*T1^5*T2^7 - 
      6*T1^6*T2^7 - 6*T1^7*T2^7 + 12*T1^8*T2^7 - 2*T1^9*T2^7 - 4*T1^10*T2^7 + 
      5*T1^11*T2^7 - T1^12*T2^7 - T1^2*T2^8 - 4*T1^3*T2^8 + 10*T1^4*T2^8 - 
      2*T1^5*T2^8 - 8*T1^6*T2^8 + 12*T1^7*T2^8 - 8*T1^8*T2^8 - 2*T1^9*T2^8 + 
      10*T1^10*T2^8 - 4*T1^11*T2^8 - T1^12*T2^8 + 3*T1^3*T2^9 - 4*T1^4*T2^9 - 
      4*T1^5*T2^9 + 4*T1^6*T2^9 - 2*T1^7*T2^9 - 2*T1^8*T2^9 + 4*T1^9*T2^9 - 
      4*T1^10*T2^9 - 4*T1^11*T2^9 + 3*T1^12*T2^9 - T1^4*T2^10 + 
      5*T1^5*T2^10 - 2*T1^6*T2^10 - 4*T1^7*T2^10 + 10*T1^8*T2^10 - 
      4*T1^9*T2^10 - 2*T1^10*T2^10 + 5*T1^11*T2^10 - T1^12*T2^10 - 
      T1^5*T2^11 - 2*T1^6*T2^11 + 5*T1^7*T2^11 - 4*T1^8*T2^11 - 
      4*T1^9*T2^11 + 5*T1^10*T2^11 - 2*T1^11*T2^11 - T1^12*T2^11 + 
      T1^6*T2^12 - T1^7*T2^12 - T1^8*T2^12 + 3*T1^9*T2^12 - T1^10*T2^12 - 
      T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 310] -> {((1 - T + T^2)*(2 - 3*T + 2*T^2))/T^2, 
   -((1 - T1 + T1^2 - T1^3 + T1^4 - T2 + 2*T1*T2 + 2*T1^4*T2 - T1^5*T2 + 
      T2^2 - 70*T1^2*T2^2 + 100*T1^3*T2^2 - 70*T1^4*T2^2 + T1^6*T2^2 - T2^3 + 
      100*T1^2*T2^3 - 44*T1^3*T2^3 - 44*T1^4*T2^3 + 100*T1^5*T2^3 - 
      T1^7*T2^3 + T2^4 + 2*T1*T2^4 - 70*T1^2*T2^4 - 44*T1^3*T2^4 + 
      72*T1^4*T2^4 - 44*T1^5*T2^4 - 70*T1^6*T2^4 + 2*T1^7*T2^4 + T1^8*T2^4 - 
      T1*T2^5 + 100*T1^3*T2^5 - 44*T1^4*T2^5 - 44*T1^5*T2^5 + 100*T1^6*T2^5 - 
      T1^8*T2^5 + T1^2*T2^6 - 70*T1^4*T2^6 + 100*T1^5*T2^6 - 70*T1^6*T2^6 + 
      T1^8*T2^6 - T1^3*T2^7 + 2*T1^4*T2^7 + 2*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)/
     (T1^4*T2^4))}, Knot[12, NonAlternating, 311] -> 
  {-((3 - 13*T + 19*T^2 - 13*T^3 + 3*T^4)/T^2), 
   (24 - 99*T1 + 142*T1^2 - 99*T1^3 + 24*T1^4 - 99*T2 + 306*T1*T2 - 
     178*T1^2*T2 - 178*T1^3*T2 + 306*T1^4*T2 - 99*T1^5*T2 + 142*T2^2 - 
     178*T1*T2^2 - 614*T1^2*T2^2 + 1130*T1^3*T2^2 - 614*T1^4*T2^2 - 
     178*T1^5*T2^2 + 142*T1^6*T2^2 - 99*T2^3 - 178*T1*T2^3 + 1130*T1^2*T2^3 - 
     712*T1^3*T2^3 - 712*T1^4*T2^3 + 1130*T1^5*T2^3 - 178*T1^6*T2^3 - 
     99*T1^7*T2^3 + 24*T2^4 + 306*T1*T2^4 - 614*T1^2*T2^4 - 712*T1^3*T2^4 + 
     1668*T1^4*T2^4 - 712*T1^5*T2^4 - 614*T1^6*T2^4 + 306*T1^7*T2^4 + 
     24*T1^8*T2^4 - 99*T1*T2^5 - 178*T1^2*T2^5 + 1130*T1^3*T2^5 - 
     712*T1^4*T2^5 - 712*T1^5*T2^5 + 1130*T1^6*T2^5 - 178*T1^7*T2^5 - 
     99*T1^8*T2^5 + 142*T1^2*T2^6 - 178*T1^3*T2^6 - 614*T1^4*T2^6 + 
     1130*T1^5*T2^6 - 614*T1^6*T2^6 - 178*T1^7*T2^6 + 142*T1^8*T2^6 - 
     99*T1^3*T2^7 + 306*T1^4*T2^7 - 178*T1^5*T2^7 - 178*T1^6*T2^7 + 
     306*T1^7*T2^7 - 99*T1^8*T2^7 + 24*T1^4*T2^8 - 99*T1^5*T2^8 + 
     142*T1^6*T2^8 - 99*T1^7*T2^8 + 24*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 312] -> 
  {-(((-1 + 2*T - 3*T^2 + T^3)*(-1 + 3*T - 2*T^2 + T^3))/T^3), 
   -((7 - 30*T1 + 39*T1^2 - 30*T1^3 + 7*T1^4 - 30*T2 + 100*T1*T2 - 
      40*T1^2*T2 - 40*T1^3*T2 + 100*T1^4*T2 - 30*T1^5*T2 + 39*T2^2 - 
      40*T1*T2^2 - 299*T1^2*T2^2 + 385*T1^3*T2^2 - 299*T1^4*T2^2 - 
      40*T1^5*T2^2 + 39*T1^6*T2^2 - 30*T2^3 - 40*T1*T2^3 + 385*T1^2*T2^3 - 
      100*T1^3*T2^3 - 100*T1^4*T2^3 + 385*T1^5*T2^3 - 40*T1^6*T2^3 - 
      30*T1^7*T2^3 + 7*T2^4 + 100*T1*T2^4 - 299*T1^2*T2^4 - 100*T1^3*T2^4 + 
      48*T1^4*T2^4 - 100*T1^5*T2^4 - 299*T1^6*T2^4 + 100*T1^7*T2^4 + 
      7*T1^8*T2^4 - 30*T1*T2^5 - 40*T1^2*T2^5 + 385*T1^3*T2^5 - 
      100*T1^4*T2^5 - 100*T1^5*T2^5 + 385*T1^6*T2^5 - 40*T1^7*T2^5 - 
      30*T1^8*T2^5 + 39*T1^2*T2^6 - 40*T1^3*T2^6 - 299*T1^4*T2^6 + 
      385*T1^5*T2^6 - 299*T1^6*T2^6 - 40*T1^7*T2^6 + 39*T1^8*T2^6 - 
      30*T1^3*T2^7 + 100*T1^4*T2^7 - 40*T1^5*T2^7 - 40*T1^6*T2^7 + 
      100*T1^7*T2^7 - 30*T1^8*T2^7 + 7*T1^4*T2^8 - 30*T1^5*T2^8 + 
      39*T1^6*T2^8 - 30*T1^7*T2^8 + 7*T1^8*T2^8)/(T1^4*T2^4))}, 
 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)/(T1^3*T2^3)}, Knot[12, NonAlternating, 314] -> 
  {((1 - 3*T + T^2)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^3, 
   -((1 - 6*T1 + 13*T1^2 - 15*T1^3 + 13*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
      30*T1*T2 - 43*T1^2*T2 + 14*T1^3*T2 + 14*T1^4*T2 - 43*T1^5*T2 + 
      30*T1^6*T2 - 6*T1^7*T2 + 13*T2^2 - 43*T1*T2^2 - 22*T1^2*T2^2 + 
      172*T1^3*T2^2 - 200*T1^4*T2^2 + 172*T1^5*T2^2 - 22*T1^6*T2^2 - 
      43*T1^7*T2^2 + 13*T1^8*T2^2 - 15*T2^3 + 14*T1*T2^3 + 172*T1^2*T2^3 - 
      318*T1^3*T2^3 + 107*T1^4*T2^3 + 107*T1^5*T2^3 - 318*T1^6*T2^3 + 
      172*T1^7*T2^3 + 14*T1^8*T2^3 - 15*T1^9*T2^3 + 13*T2^4 + 14*T1*T2^4 - 
      200*T1^2*T2^4 + 107*T1^3*T2^4 + 374*T1^4*T2^4 - 538*T1^5*T2^4 + 
      374*T1^6*T2^4 + 107*T1^7*T2^4 - 200*T1^8*T2^4 + 14*T1^9*T2^4 + 
      13*T1^10*T2^4 - 6*T2^5 - 43*T1*T2^5 + 172*T1^2*T2^5 + 107*T1^3*T2^5 - 
      538*T1^4*T2^5 + 298*T1^5*T2^5 + 298*T1^6*T2^5 - 538*T1^7*T2^5 + 
      107*T1^8*T2^5 + 172*T1^9*T2^5 - 43*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
      30*T1*T2^6 - 22*T1^2*T2^6 - 318*T1^3*T2^6 + 374*T1^4*T2^6 + 
      298*T1^5*T2^6 - 744*T1^6*T2^6 + 298*T1^7*T2^6 + 374*T1^8*T2^6 - 
      318*T1^9*T2^6 - 22*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 
      6*T1*T2^7 - 43*T1^2*T2^7 + 172*T1^3*T2^7 + 107*T1^4*T2^7 - 
      538*T1^5*T2^7 + 298*T1^6*T2^7 + 298*T1^7*T2^7 - 538*T1^8*T2^7 + 
      107*T1^9*T2^7 + 172*T1^10*T2^7 - 43*T1^11*T2^7 - 6*T1^12*T2^7 + 
      13*T1^2*T2^8 + 14*T1^3*T2^8 - 200*T1^4*T2^8 + 107*T1^5*T2^8 + 
      374*T1^6*T2^8 - 538*T1^7*T2^8 + 374*T1^8*T2^8 + 107*T1^9*T2^8 - 
      200*T1^10*T2^8 + 14*T1^11*T2^8 + 13*T1^12*T2^8 - 15*T1^3*T2^9 + 
      14*T1^4*T2^9 + 172*T1^5*T2^9 - 318*T1^6*T2^9 + 107*T1^7*T2^9 + 
      107*T1^8*T2^9 - 318*T1^9*T2^9 + 172*T1^10*T2^9 + 14*T1^11*T2^9 - 
      15*T1^12*T2^9 + 13*T1^4*T2^10 - 43*T1^5*T2^10 - 22*T1^6*T2^10 + 
      172*T1^7*T2^10 - 200*T1^8*T2^10 + 172*T1^9*T2^10 - 22*T1^10*T2^10 - 
      43*T1^11*T2^10 + 13*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 
      43*T1^7*T2^11 + 14*T1^8*T2^11 + 14*T1^9*T2^11 - 43*T1^10*T2^11 + 
      30*T1^11*T2^11 - 6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 
      13*T1^8*T2^12 - 15*T1^9*T2^12 + 13*T1^10*T2^12 - 6*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 315] -> 
  {-((1 - 6*T + 14*T^2 - 19*T^3 + 14*T^4 - 6*T^5 + T^6)/T^3), 
   (T1^2 + T1^3 - 3*T1*T2 + 4*T1^2*T2 - 21*T1^3*T2 + 4*T1^4*T2 - 3*T1^5*T2 + 
     T2^2 + 4*T1*T2^2 + 33*T1^3*T2^2 + 33*T1^4*T2^2 + 4*T1^6*T2^2 + 
     T1^7*T2^2 + T2^3 - 21*T1*T2^3 + 33*T1^2*T2^3 - 95*T1^3*T2^3 - 
     15*T1^4*T2^3 - 95*T1^5*T2^3 + 33*T1^6*T2^3 - 21*T1^7*T2^3 + T1^8*T2^3 + 
     4*T1*T2^4 + 33*T1^2*T2^4 - 15*T1^3*T2^4 + 122*T1^4*T2^4 + 
     122*T1^5*T2^4 - 15*T1^6*T2^4 + 33*T1^7*T2^4 + 4*T1^8*T2^4 - 3*T1*T2^5 - 
     95*T1^3*T2^5 + 122*T1^4*T2^5 - 384*T1^5*T2^5 + 122*T1^6*T2^5 - 
     95*T1^7*T2^5 - 3*T1^9*T2^5 + 4*T1^2*T2^6 + 33*T1^3*T2^6 - 15*T1^4*T2^6 + 
     122*T1^5*T2^6 + 122*T1^6*T2^6 - 15*T1^7*T2^6 + 33*T1^8*T2^6 + 
     4*T1^9*T2^6 + T1^2*T2^7 - 21*T1^3*T2^7 + 33*T1^4*T2^7 - 95*T1^5*T2^7 - 
     15*T1^6*T2^7 - 95*T1^7*T2^7 + 33*T1^8*T2^7 - 21*T1^9*T2^7 + T1^10*T2^7 + 
     T1^3*T2^8 + 4*T1^4*T2^8 + 33*T1^6*T2^8 + 33*T1^7*T2^8 + 4*T1^9*T2^8 + 
     T1^10*T2^8 - 3*T1^5*T2^9 + 4*T1^6*T2^9 - 21*T1^7*T2^9 + 4*T1^8*T2^9 - 
     3*T1^9*T2^9 + T1^7*T2^10 + T1^8*T2^10)/(T1^5*T2^5)}, 
 Knot[12, NonAlternating, 316] -> 
  {-((1 - 7*T + 15*T^2 - 19*T^3 + 15*T^4 - 7*T^5 + T^6)/T^3), 
   -((2 - 14*T1 + 30*T1^2 - 38*T1^3 + 30*T1^4 - 14*T1^5 + 2*T1^6 - 14*T2 + 
      90*T1*T2 - 117*T1^2*T2 + 59*T1^3*T2 + 59*T1^4*T2 - 117*T1^5*T2 + 
      90*T1^6*T2 - 14*T1^7*T2 + 30*T2^2 - 117*T1*T2^2 - 254*T1^2*T2^2 + 
      776*T1^3*T2^2 - 1074*T1^4*T2^2 + 776*T1^5*T2^2 - 254*T1^6*T2^2 - 
      117*T1^7*T2^2 + 30*T1^8*T2^2 - 38*T2^3 + 59*T1*T2^3 + 776*T1^2*T2^3 - 
      1076*T1^3*T2^3 + 587*T1^4*T2^3 + 587*T1^5*T2^3 - 1076*T1^6*T2^3 + 
      776*T1^7*T2^3 + 59*T1^8*T2^3 - 38*T1^9*T2^3 + 30*T2^4 + 59*T1*T2^4 - 
      1074*T1^2*T2^4 + 587*T1^3*T2^4 + 349*T1^4*T2^4 - 1137*T1^5*T2^4 + 
      349*T1^6*T2^4 + 587*T1^7*T2^4 - 1074*T1^8*T2^4 + 59*T1^9*T2^4 + 
      30*T1^10*T2^4 - 14*T2^5 - 117*T1*T2^5 + 776*T1^2*T2^5 + 587*T1^3*T2^5 - 
      1137*T1^4*T2^5 + 814*T1^5*T2^5 + 814*T1^6*T2^5 - 1137*T1^7*T2^5 + 
      587*T1^8*T2^5 + 776*T1^9*T2^5 - 117*T1^10*T2^5 - 14*T1^11*T2^5 + 
      2*T2^6 + 90*T1*T2^6 - 254*T1^2*T2^6 - 1076*T1^3*T2^6 + 349*T1^4*T2^6 + 
      814*T1^5*T2^6 - 1908*T1^6*T2^6 + 814*T1^7*T2^6 + 349*T1^8*T2^6 - 
      1076*T1^9*T2^6 - 254*T1^10*T2^6 + 90*T1^11*T2^6 + 2*T1^12*T2^6 - 
      14*T1*T2^7 - 117*T1^2*T2^7 + 776*T1^3*T2^7 + 587*T1^4*T2^7 - 
      1137*T1^5*T2^7 + 814*T1^6*T2^7 + 814*T1^7*T2^7 - 1137*T1^8*T2^7 + 
      587*T1^9*T2^7 + 776*T1^10*T2^7 - 117*T1^11*T2^7 - 14*T1^12*T2^7 + 
      30*T1^2*T2^8 + 59*T1^3*T2^8 - 1074*T1^4*T2^8 + 587*T1^5*T2^8 + 
      349*T1^6*T2^8 - 1137*T1^7*T2^8 + 349*T1^8*T2^8 + 587*T1^9*T2^8 - 
      1074*T1^10*T2^8 + 59*T1^11*T2^8 + 30*T1^12*T2^8 - 38*T1^3*T2^9 + 
      59*T1^4*T2^9 + 776*T1^5*T2^9 - 1076*T1^6*T2^9 + 587*T1^7*T2^9 + 
      587*T1^8*T2^9 - 1076*T1^9*T2^9 + 776*T1^10*T2^9 + 59*T1^11*T2^9 - 
      38*T1^12*T2^9 + 30*T1^4*T2^10 - 117*T1^5*T2^10 - 254*T1^6*T2^10 + 
      776*T1^7*T2^10 - 1074*T1^8*T2^10 + 776*T1^9*T2^10 - 254*T1^10*T2^10 - 
      117*T1^11*T2^10 + 30*T1^12*T2^10 - 14*T1^5*T2^11 + 90*T1^6*T2^11 - 
      117*T1^7*T2^11 + 59*T1^8*T2^11 + 59*T1^9*T2^11 - 117*T1^10*T2^11 + 
      90*T1^11*T2^11 - 14*T1^12*T2^11 + 2*T1^6*T2^12 - 14*T1^7*T2^12 + 
      30*T1^8*T2^12 - 38*T1^9*T2^12 + 30*T1^10*T2^12 - 14*T1^11*T2^12 + 
      2*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 317] -> 
  {-((2 - 9*T + 19*T^2 - 25*T^3 + 19*T^4 - 9*T^5 + 2*T^6)/T^3), 
   (1 - 5*T1 + 10*T1^2 - 13*T1^3 + 10*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 26*T1^2*T2 + 16*T1^3*T2 + 16*T1^4*T2 - 26*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 10*T2^2 - 26*T1*T2^2 - 8*T1^2*T2^2 + 
     67*T1^3*T2^2 - 132*T1^4*T2^2 + 67*T1^5*T2^2 - 8*T1^6*T2^2 - 
     26*T1^7*T2^2 + 10*T1^8*T2^2 - 13*T2^3 + 16*T1*T2^3 + 67*T1^2*T2^3 - 
     118*T1^3*T2^3 + 113*T1^4*T2^3 + 113*T1^5*T2^3 - 118*T1^6*T2^3 + 
     67*T1^7*T2^3 + 16*T1^8*T2^3 - 13*T1^9*T2^3 + 10*T2^4 + 16*T1*T2^4 - 
     132*T1^2*T2^4 + 113*T1^3*T2^4 - 12*T1^4*T2^4 - 244*T1^5*T2^4 - 
     12*T1^6*T2^4 + 113*T1^7*T2^4 - 132*T1^8*T2^4 + 16*T1^9*T2^4 + 
     10*T1^10*T2^4 - 5*T2^5 - 26*T1*T2^5 + 67*T1^2*T2^5 + 113*T1^3*T2^5 - 
     244*T1^4*T2^5 + 280*T1^5*T2^5 + 280*T1^6*T2^5 - 244*T1^7*T2^5 + 
     113*T1^8*T2^5 + 67*T1^9*T2^5 - 26*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 - 8*T1^2*T2^6 - 118*T1^3*T2^6 - 12*T1^4*T2^6 + 
     280*T1^5*T2^6 - 744*T1^6*T2^6 + 280*T1^7*T2^6 - 12*T1^8*T2^6 - 
     118*T1^9*T2^6 - 8*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     26*T1^2*T2^7 + 67*T1^3*T2^7 + 113*T1^4*T2^7 - 244*T1^5*T2^7 + 
     280*T1^6*T2^7 + 280*T1^7*T2^7 - 244*T1^8*T2^7 + 113*T1^9*T2^7 + 
     67*T1^10*T2^7 - 26*T1^11*T2^7 - 5*T1^12*T2^7 + 10*T1^2*T2^8 + 
     16*T1^3*T2^8 - 132*T1^4*T2^8 + 113*T1^5*T2^8 - 12*T1^6*T2^8 - 
     244*T1^7*T2^8 - 12*T1^8*T2^8 + 113*T1^9*T2^8 - 132*T1^10*T2^8 + 
     16*T1^11*T2^8 + 10*T1^12*T2^8 - 13*T1^3*T2^9 + 16*T1^4*T2^9 + 
     67*T1^5*T2^9 - 118*T1^6*T2^9 + 113*T1^7*T2^9 + 113*T1^8*T2^9 - 
     118*T1^9*T2^9 + 67*T1^10*T2^9 + 16*T1^11*T2^9 - 13*T1^12*T2^9 + 
     10*T1^4*T2^10 - 26*T1^5*T2^10 - 8*T1^6*T2^10 + 67*T1^7*T2^10 - 
     132*T1^8*T2^10 + 67*T1^9*T2^10 - 8*T1^10*T2^10 - 26*T1^11*T2^10 + 
     10*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 26*T1^7*T2^11 + 
     16*T1^8*T2^11 + 16*T1^9*T2^11 - 26*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 10*T1^8*T2^12 - 
     13*T1^9*T2^12 + 10*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 318] -> 
  {((1 - T + T^3)*(1 - T^2 + T^3))/T^3, 
   -((1 - T1 - T1^2 + 3*T1^3 - T1^4 - T1^5 + T1^6 - T2 - 2*T1*T2 + 
      5*T1^2*T2 - 4*T1^3*T2 - 4*T1^4*T2 + 5*T1^5*T2 - 2*T1^6*T2 - T1^7*T2 - 
      T2^2 + 5*T1*T2^2 - 2*T1^2*T2^2 - 4*T1^3*T2^2 + 10*T1^4*T2^2 - 
      4*T1^5*T2^2 - 2*T1^6*T2^2 + 5*T1^7*T2^2 - T1^8*T2^2 + 3*T2^3 - 
      4*T1*T2^3 - 4*T1^2*T2^3 + 16*T1^3*T2^3 - 10*T1^4*T2^3 - 10*T1^5*T2^3 + 
      16*T1^6*T2^3 - 4*T1^7*T2^3 - 4*T1^8*T2^3 + 3*T1^9*T2^3 - T2^4 - 
      4*T1*T2^4 + 10*T1^2*T2^4 - 10*T1^3*T2^4 - 12*T1^4*T2^4 + 24*T1^5*T2^4 - 
      12*T1^6*T2^4 - 10*T1^7*T2^4 + 10*T1^8*T2^4 - 4*T1^9*T2^4 - T1^10*T2^4 - 
      T2^5 + 5*T1*T2^5 - 4*T1^2*T2^5 - 10*T1^3*T2^5 + 24*T1^4*T2^5 - 
      14*T1^5*T2^5 - 14*T1^6*T2^5 + 24*T1^7*T2^5 - 10*T1^8*T2^5 - 
      4*T1^9*T2^5 + 5*T1^10*T2^5 - T1^11*T2^5 + T2^6 - 2*T1*T2^6 - 
      2*T1^2*T2^6 + 16*T1^3*T2^6 - 12*T1^4*T2^6 - 14*T1^5*T2^6 + 
      36*T1^6*T2^6 - 14*T1^7*T2^6 - 12*T1^8*T2^6 + 16*T1^9*T2^6 - 
      2*T1^10*T2^6 - 2*T1^11*T2^6 + T1^12*T2^6 - T1*T2^7 + 5*T1^2*T2^7 - 
      4*T1^3*T2^7 - 10*T1^4*T2^7 + 24*T1^5*T2^7 - 14*T1^6*T2^7 - 
      14*T1^7*T2^7 + 24*T1^8*T2^7 - 10*T1^9*T2^7 - 4*T1^10*T2^7 + 
      5*T1^11*T2^7 - T1^12*T2^7 - T1^2*T2^8 - 4*T1^3*T2^8 + 10*T1^4*T2^8 - 
      10*T1^5*T2^8 - 12*T1^6*T2^8 + 24*T1^7*T2^8 - 12*T1^8*T2^8 - 
      10*T1^9*T2^8 + 10*T1^10*T2^8 - 4*T1^11*T2^8 - T1^12*T2^8 + 
      3*T1^3*T2^9 - 4*T1^4*T2^9 - 4*T1^5*T2^9 + 16*T1^6*T2^9 - 10*T1^7*T2^9 - 
      10*T1^8*T2^9 + 16*T1^9*T2^9 - 4*T1^10*T2^9 - 4*T1^11*T2^9 + 
      3*T1^12*T2^9 - T1^4*T2^10 + 5*T1^5*T2^10 - 2*T1^6*T2^10 - 
      4*T1^7*T2^10 + 10*T1^8*T2^10 - 4*T1^9*T2^10 - 2*T1^10*T2^10 + 
      5*T1^11*T2^10 - T1^12*T2^10 - T1^5*T2^11 - 2*T1^6*T2^11 + 
      5*T1^7*T2^11 - 4*T1^8*T2^11 - 4*T1^9*T2^11 + 5*T1^10*T2^11 - 
      2*T1^11*T2^11 - T1^12*T2^11 + T1^6*T2^12 - T1^7*T2^12 - T1^8*T2^12 + 
      3*T1^9*T2^12 - T1^10*T2^12 - T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 319] -> 
  {-((2 - 6*T + 8*T^2 - 9*T^3 + 8*T^4 - 6*T^5 + 2*T^6)/T^3), 
   -((15 - 44*T1 + 58*T1^2 - 65*T1^3 + 58*T1^4 - 44*T1^5 + 15*T1^6 - 44*T2 + 
      84*T1*T2 - 39*T1^2*T2 + 19*T1^3*T2 + 19*T1^4*T2 - 39*T1^5*T2 + 
      84*T1^6*T2 - 44*T1^7*T2 + 58*T2^2 - 39*T1*T2^2 - 105*T1^2*T2^2 + 
      101*T1^3*T2^2 - 131*T1^4*T2^2 + 101*T1^5*T2^2 - 105*T1^6*T2^2 - 
      39*T1^7*T2^2 + 58*T1^8*T2^2 - 65*T2^3 + 19*T1*T2^3 + 101*T1^2*T2^3 + 
      27*T1^4*T2^3 + 27*T1^5*T2^3 + 101*T1^7*T2^3 + 19*T1^8*T2^3 - 
      65*T1^9*T2^3 + 58*T2^4 + 19*T1*T2^4 - 131*T1^2*T2^4 + 27*T1^3*T2^4 - 
      78*T1^4*T2^4 + 8*T1^5*T2^4 - 78*T1^6*T2^4 + 27*T1^7*T2^4 - 
      131*T1^8*T2^4 + 19*T1^9*T2^4 + 58*T1^10*T2^4 - 44*T2^5 - 39*T1*T2^5 + 
      101*T1^2*T2^5 + 27*T1^3*T2^5 + 8*T1^4*T2^5 + 50*T1^5*T2^5 + 
      50*T1^6*T2^5 + 8*T1^7*T2^5 + 27*T1^8*T2^5 + 101*T1^9*T2^5 - 
      39*T1^10*T2^5 - 44*T1^11*T2^5 + 15*T2^6 + 84*T1*T2^6 - 105*T1^2*T2^6 - 
      78*T1^4*T2^6 + 50*T1^5*T2^6 - 132*T1^6*T2^6 + 50*T1^7*T2^6 - 
      78*T1^8*T2^6 - 105*T1^10*T2^6 + 84*T1^11*T2^6 + 15*T1^12*T2^6 - 
      44*T1*T2^7 - 39*T1^2*T2^7 + 101*T1^3*T2^7 + 27*T1^4*T2^7 + 
      8*T1^5*T2^7 + 50*T1^6*T2^7 + 50*T1^7*T2^7 + 8*T1^8*T2^7 + 
      27*T1^9*T2^7 + 101*T1^10*T2^7 - 39*T1^11*T2^7 - 44*T1^12*T2^7 + 
      58*T1^2*T2^8 + 19*T1^3*T2^8 - 131*T1^4*T2^8 + 27*T1^5*T2^8 - 
      78*T1^6*T2^8 + 8*T1^7*T2^8 - 78*T1^8*T2^8 + 27*T1^9*T2^8 - 
      131*T1^10*T2^8 + 19*T1^11*T2^8 + 58*T1^12*T2^8 - 65*T1^3*T2^9 + 
      19*T1^4*T2^9 + 101*T1^5*T2^9 + 27*T1^7*T2^9 + 27*T1^8*T2^9 + 
      101*T1^10*T2^9 + 19*T1^11*T2^9 - 65*T1^12*T2^9 + 58*T1^4*T2^10 - 
      39*T1^5*T2^10 - 105*T1^6*T2^10 + 101*T1^7*T2^10 - 131*T1^8*T2^10 + 
      101*T1^9*T2^10 - 105*T1^10*T2^10 - 39*T1^11*T2^10 + 58*T1^12*T2^10 - 
      44*T1^5*T2^11 + 84*T1^6*T2^11 - 39*T1^7*T2^11 + 19*T1^8*T2^11 + 
      19*T1^9*T2^11 - 39*T1^10*T2^11 + 84*T1^11*T2^11 - 44*T1^12*T2^11 + 
      15*T1^6*T2^12 - 44*T1^7*T2^12 + 58*T1^8*T2^12 - 65*T1^9*T2^12 + 
      58*T1^10*T2^12 - 44*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 320] -> 
  {-((2 - 11*T + 25*T^2 - 33*T^3 + 25*T^4 - 11*T^5 + 2*T^6)/T^3), 
   (1 - 5*T1 + 10*T1^2 - 13*T1^3 + 10*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     22*T1*T2 - 30*T1^2*T2 + 18*T1^3*T2 + 18*T1^4*T2 - 30*T1^5*T2 + 
     22*T1^6*T2 - 5*T1^7*T2 + 10*T2^2 - 30*T1*T2^2 - 13*T1^2*T2^2 + 
     87*T1^3*T2^2 - 159*T1^4*T2^2 + 87*T1^5*T2^2 - 13*T1^6*T2^2 - 
     30*T1^7*T2^2 + 10*T1^8*T2^2 - 13*T2^3 + 18*T1*T2^3 + 87*T1^2*T2^3 - 
     120*T1^3*T2^3 + 115*T1^4*T2^3 + 115*T1^5*T2^3 - 120*T1^6*T2^3 + 
     87*T1^7*T2^3 + 18*T1^8*T2^3 - 13*T1^9*T2^3 + 10*T2^4 + 18*T1*T2^4 - 
     159*T1^2*T2^4 + 115*T1^3*T2^4 - 167*T1^4*T2^4 - 47*T1^5*T2^4 - 
     167*T1^6*T2^4 + 115*T1^7*T2^4 - 159*T1^8*T2^4 + 18*T1^9*T2^4 + 
     10*T1^10*T2^4 - 5*T2^5 - 30*T1*T2^5 + 87*T1^2*T2^5 + 115*T1^3*T2^5 - 
     47*T1^4*T2^5 + 224*T1^5*T2^5 + 224*T1^6*T2^5 - 47*T1^7*T2^5 + 
     115*T1^8*T2^5 + 87*T1^9*T2^5 - 30*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     22*T1*T2^6 - 13*T1^2*T2^6 - 120*T1^3*T2^6 - 167*T1^4*T2^6 + 
     224*T1^5*T2^6 - 708*T1^6*T2^6 + 224*T1^7*T2^6 - 167*T1^8*T2^6 - 
     120*T1^9*T2^6 - 13*T1^10*T2^6 + 22*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     30*T1^2*T2^7 + 87*T1^3*T2^7 + 115*T1^4*T2^7 - 47*T1^5*T2^7 + 
     224*T1^6*T2^7 + 224*T1^7*T2^7 - 47*T1^8*T2^7 + 115*T1^9*T2^7 + 
     87*T1^10*T2^7 - 30*T1^11*T2^7 - 5*T1^12*T2^7 + 10*T1^2*T2^8 + 
     18*T1^3*T2^8 - 159*T1^4*T2^8 + 115*T1^5*T2^8 - 167*T1^6*T2^8 - 
     47*T1^7*T2^8 - 167*T1^8*T2^8 + 115*T1^9*T2^8 - 159*T1^10*T2^8 + 
     18*T1^11*T2^8 + 10*T1^12*T2^8 - 13*T1^3*T2^9 + 18*T1^4*T2^9 + 
     87*T1^5*T2^9 - 120*T1^6*T2^9 + 115*T1^7*T2^9 + 115*T1^8*T2^9 - 
     120*T1^9*T2^9 + 87*T1^10*T2^9 + 18*T1^11*T2^9 - 13*T1^12*T2^9 + 
     10*T1^4*T2^10 - 30*T1^5*T2^10 - 13*T1^6*T2^10 + 87*T1^7*T2^10 - 
     159*T1^8*T2^10 + 87*T1^9*T2^10 - 13*T1^10*T2^10 - 30*T1^11*T2^10 + 
     10*T1^12*T2^10 - 5*T1^5*T2^11 + 22*T1^6*T2^11 - 30*T1^7*T2^11 + 
     18*T1^8*T2^11 + 18*T1^9*T2^11 - 30*T1^10*T2^11 + 22*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 10*T1^8*T2^12 - 
     13*T1^9*T2^12 + 10*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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 - 
      44*T1^2*T2^2 + 54*T1^3*T2^2 - 44*T1^4*T2^2 + 9*T1^5*T2^2 - 
      4*T1^6*T2^2 + 3*T2^3 + 9*T1*T2^3 + 54*T1^2*T2^3 - 20*T1^3*T2^3 - 
      20*T1^4*T2^3 + 54*T1^5*T2^3 + 9*T1^6*T2^3 + 3*T1^7*T2^3 - 14*T1*T2^4 - 
      44*T1^2*T2^4 - 20*T1^3*T2^4 + 24*T1^4*T2^4 - 20*T1^5*T2^4 - 
      44*T1^6*T2^4 - 14*T1^7*T2^4 + 3*T1*T2^5 + 9*T1^2*T2^5 + 54*T1^3*T2^5 - 
      20*T1^4*T2^5 - 20*T1^5*T2^5 + 54*T1^6*T2^5 + 9*T1^7*T2^5 + 
      3*T1^8*T2^5 - 4*T1^2*T2^6 + 9*T1^3*T2^6 - 44*T1^4*T2^6 + 54*T1^5*T2^6 - 
      44*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)/(T1^4*T2^4))}, 
 Knot[12, NonAlternating, 322] -> {-((2 - 6*T + 7*T^2 - 6*T^3 + 2*T^4)/T^2), 
   -((5 - 13*T1 + 15*T1^2 - 13*T1^3 + 5*T1^4 - 13*T2 + 18*T1*T2 - 4*T1^2*T2 - 
      4*T1^3*T2 + 18*T1^4*T2 - 13*T1^5*T2 + 15*T2^2 - 4*T1*T2^2 - 
      21*T1^2*T2^2 + 31*T1^3*T2^2 - 21*T1^4*T2^2 - 4*T1^5*T2^2 + 
      15*T1^6*T2^2 - 13*T2^3 - 4*T1*T2^3 + 31*T1^2*T2^3 - 38*T1^3*T2^3 - 
      38*T1^4*T2^3 + 31*T1^5*T2^3 - 4*T1^6*T2^3 - 13*T1^7*T2^3 + 5*T2^4 + 
      18*T1*T2^4 - 21*T1^2*T2^4 - 38*T1^3*T2^4 + 144*T1^4*T2^4 - 
      38*T1^5*T2^4 - 21*T1^6*T2^4 + 18*T1^7*T2^4 + 5*T1^8*T2^4 - 13*T1*T2^5 - 
      4*T1^2*T2^5 + 31*T1^3*T2^5 - 38*T1^4*T2^5 - 38*T1^5*T2^5 + 
      31*T1^6*T2^5 - 4*T1^7*T2^5 - 13*T1^8*T2^5 + 15*T1^2*T2^6 - 
      4*T1^3*T2^6 - 21*T1^4*T2^6 + 31*T1^5*T2^6 - 21*T1^6*T2^6 - 
      4*T1^7*T2^6 + 15*T1^8*T2^6 - 13*T1^3*T2^7 + 18*T1^4*T2^7 - 
      4*T1^5*T2^7 - 4*T1^6*T2^7 + 18*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)/
     (T1^4*T2^4))}, Knot[12, NonAlternating, 323] -> 
  {(4 - 13*T + 19*T^2 - 13*T^3 + 4*T^4)/T^2, 
   -((4 - 15*T1 + 24*T1^2 - 15*T1^3 + 4*T1^4 - 15*T2 + 34*T1*T2 - 
      29*T1^2*T2 - 29*T1^3*T2 + 34*T1^4*T2 - 15*T1^5*T2 + 24*T2^2 - 
      29*T1*T2^2 + 40*T1^2*T2^2 + 16*T1^3*T2^2 + 40*T1^4*T2^2 - 
      29*T1^5*T2^2 + 24*T1^6*T2^2 - 15*T2^3 - 29*T1*T2^3 + 16*T1^2*T2^3 - 
      68*T1^3*T2^3 - 68*T1^4*T2^3 + 16*T1^5*T2^3 - 29*T1^6*T2^3 - 
      15*T1^7*T2^3 + 4*T2^4 + 34*T1*T2^4 + 40*T1^2*T2^4 - 68*T1^3*T2^4 + 
      228*T1^4*T2^4 - 68*T1^5*T2^4 + 40*T1^6*T2^4 + 34*T1^7*T2^4 + 
      4*T1^8*T2^4 - 15*T1*T2^5 - 29*T1^2*T2^5 + 16*T1^3*T2^5 - 68*T1^4*T2^5 - 
      68*T1^5*T2^5 + 16*T1^6*T2^5 - 29*T1^7*T2^5 - 15*T1^8*T2^5 + 
      24*T1^2*T2^6 - 29*T1^3*T2^6 + 40*T1^4*T2^6 + 16*T1^5*T2^6 + 
      40*T1^6*T2^6 - 29*T1^7*T2^6 + 24*T1^8*T2^6 - 15*T1^3*T2^7 + 
      34*T1^4*T2^7 - 29*T1^5*T2^7 - 29*T1^6*T2^7 + 34*T1^7*T2^7 - 
      15*T1^8*T2^7 + 4*T1^4*T2^8 - 15*T1^5*T2^8 + 24*T1^6*T2^8 - 
      15*T1^7*T2^8 + 4*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, NonAlternating, 324] -> 
  {-((5 - 17*T + 23*T^2 - 17*T^3 + 5*T^4)/T^2), 
   -((115 - 378*T1 + 501*T1^2 - 378*T1^3 + 115*T1^4 - 378*T2 + 872*T1*T2 - 
      417*T1^2*T2 - 417*T1^3*T2 + 872*T1^4*T2 - 378*T1^5*T2 + 501*T2^2 - 
      417*T1*T2^2 - 1462*T1^2*T2^2 + 2348*T1^3*T2^2 - 1462*T1^4*T2^2 - 
      417*T1^5*T2^2 + 501*T1^6*T2^2 - 378*T2^3 - 417*T1*T2^3 + 
      2348*T1^2*T2^3 - 1228*T1^3*T2^3 - 1228*T1^4*T2^3 + 2348*T1^5*T2^3 - 
      417*T1^6*T2^3 - 378*T1^7*T2^3 + 115*T2^4 + 872*T1*T2^4 - 
      1462*T1^2*T2^4 - 1228*T1^3*T2^4 + 2664*T1^4*T2^4 - 1228*T1^5*T2^4 - 
      1462*T1^6*T2^4 + 872*T1^7*T2^4 + 115*T1^8*T2^4 - 378*T1*T2^5 - 
      417*T1^2*T2^5 + 2348*T1^3*T2^5 - 1228*T1^4*T2^5 - 1228*T1^5*T2^5 + 
      2348*T1^6*T2^5 - 417*T1^7*T2^5 - 378*T1^8*T2^5 + 501*T1^2*T2^6 - 
      417*T1^3*T2^6 - 1462*T1^4*T2^6 + 2348*T1^5*T2^6 - 1462*T1^6*T2^6 - 
      417*T1^7*T2^6 + 501*T1^8*T2^6 - 378*T1^3*T2^7 + 872*T1^4*T2^7 - 
      417*T1^5*T2^7 - 417*T1^6*T2^7 + 872*T1^7*T2^7 - 378*T1^8*T2^7 + 
      115*T1^4*T2^8 - 378*T1^5*T2^8 + 501*T1^6*T2^8 - 378*T1^7*T2^8 + 
      115*T1^8*T2^8)/(T1^4*T2^4))}, Knot[12, NonAlternating, 325] -> 
  {-((2 - 11*T + 26*T^2 - 35*T^3 + 26*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((1 - 6*T1 + 16*T1^2 - 23*T1^3 + 16*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
      28*T1*T2 - 53*T1^2*T2 + 37*T1^3*T2 + 37*T1^4*T2 - 53*T1^5*T2 + 
      28*T1^6*T2 - 6*T1^7*T2 + 16*T2^2 - 53*T1*T2^2 + 41*T1^2*T2^2 + 
      82*T1^3*T2^2 - 239*T1^4*T2^2 + 82*T1^5*T2^2 + 41*T1^6*T2^2 - 
      53*T1^7*T2^2 + 16*T1^8*T2^2 - 23*T2^3 + 37*T1*T2^3 + 82*T1^2*T2^3 - 
      262*T1^3*T2^3 + 281*T1^4*T2^3 + 281*T1^5*T2^3 - 262*T1^6*T2^3 + 
      82*T1^7*T2^3 + 37*T1^8*T2^3 - 23*T1^9*T2^3 + 16*T2^4 + 37*T1*T2^4 - 
      239*T1^2*T2^4 + 281*T1^3*T2^4 - 26*T1^4*T2^4 - 676*T1^5*T2^4 - 
      26*T1^6*T2^4 + 281*T1^7*T2^4 - 239*T1^8*T2^4 + 37*T1^9*T2^4 + 
      16*T1^10*T2^4 - 6*T2^5 - 53*T1*T2^5 + 82*T1^2*T2^5 + 281*T1^3*T2^5 - 
      676*T1^4*T2^5 + 816*T1^5*T2^5 + 816*T1^6*T2^5 - 676*T1^7*T2^5 + 
      281*T1^8*T2^5 + 82*T1^9*T2^5 - 53*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
      28*T1*T2^6 + 41*T1^2*T2^6 - 262*T1^3*T2^6 - 26*T1^4*T2^6 + 
      816*T1^5*T2^6 - 2244*T1^6*T2^6 + 816*T1^7*T2^6 - 26*T1^8*T2^6 - 
      262*T1^9*T2^6 + 41*T1^10*T2^6 + 28*T1^11*T2^6 + T1^12*T2^6 - 
      6*T1*T2^7 - 53*T1^2*T2^7 + 82*T1^3*T2^7 + 281*T1^4*T2^7 - 
      676*T1^5*T2^7 + 816*T1^6*T2^7 + 816*T1^7*T2^7 - 676*T1^8*T2^7 + 
      281*T1^9*T2^7 + 82*T1^10*T2^7 - 53*T1^11*T2^7 - 6*T1^12*T2^7 + 
      16*T1^2*T2^8 + 37*T1^3*T2^8 - 239*T1^4*T2^8 + 281*T1^5*T2^8 - 
      26*T1^6*T2^8 - 676*T1^7*T2^8 - 26*T1^8*T2^8 + 281*T1^9*T2^8 - 
      239*T1^10*T2^8 + 37*T1^11*T2^8 + 16*T1^12*T2^8 - 23*T1^3*T2^9 + 
      37*T1^4*T2^9 + 82*T1^5*T2^9 - 262*T1^6*T2^9 + 281*T1^7*T2^9 + 
      281*T1^8*T2^9 - 262*T1^9*T2^9 + 82*T1^10*T2^9 + 37*T1^11*T2^9 - 
      23*T1^12*T2^9 + 16*T1^4*T2^10 - 53*T1^5*T2^10 + 41*T1^6*T2^10 + 
      82*T1^7*T2^10 - 239*T1^8*T2^10 + 82*T1^9*T2^10 + 41*T1^10*T2^10 - 
      53*T1^11*T2^10 + 16*T1^12*T2^10 - 6*T1^5*T2^11 + 28*T1^6*T2^11 - 
      53*T1^7*T2^11 + 37*T1^8*T2^11 + 37*T1^9*T2^11 - 53*T1^10*T2^11 + 
      28*T1^11*T2^11 - 6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 
      16*T1^8*T2^12 - 23*T1^9*T2^12 + 16*T1^10*T2^12 - 6*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   (2 - 8*T1 + 16*T1^2 - 18*T1^3 + 18*T1^4 - 18*T1^5 + 16*T1^6 - 8*T1^7 + 
     2*T1^8 - 8*T2 + 24*T1*T2 - 32*T1^2*T2 + 8*T1^3*T2 + 8*T1^6*T2 - 
     32*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 16*T2^2 - 32*T1*T2^2 + 
     16*T1^2*T2^2 + 50*T1^3*T2^2 - 21*T1^4*T2^2 + 6*T1^5*T2^2 - 
     21*T1^6*T2^2 + 50*T1^7*T2^2 + 16*T1^8*T2^2 - 32*T1^9*T2^2 + 
     16*T1^10*T2^2 - 18*T2^3 + 8*T1*T2^3 + 50*T1^2*T2^3 - 118*T1^3*T2^3 - 
     18*T1^4*T2^3 + 17*T1^5*T2^3 + 17*T1^6*T2^3 - 18*T1^7*T2^3 - 
     118*T1^8*T2^3 + 50*T1^9*T2^3 + 8*T1^10*T2^3 - 18*T1^11*T2^3 + 18*T2^4 - 
     21*T1^2*T2^4 - 18*T1^3*T2^4 + 247*T1^4*T2^4 - 142*T1^5*T2^4 + 
     101*T1^6*T2^4 - 142*T1^7*T2^4 + 247*T1^8*T2^4 - 18*T1^9*T2^4 - 
     21*T1^10*T2^4 + 18*T1^12*T2^4 - 18*T2^5 + 6*T1^2*T2^5 + 17*T1^3*T2^5 - 
     142*T1^4*T2^5 - 64*T1^5*T2^5 + 30*T1^6*T2^5 + 30*T1^7*T2^5 - 
     64*T1^8*T2^5 - 142*T1^9*T2^5 + 17*T1^10*T2^5 + 6*T1^11*T2^5 - 
     18*T1^13*T2^5 + 16*T2^6 + 8*T1*T2^6 - 21*T1^2*T2^6 + 17*T1^3*T2^6 + 
     101*T1^4*T2^6 + 30*T1^5*T2^6 + 28*T1^6*T2^6 - 4*T1^7*T2^6 + 
     28*T1^8*T2^6 + 30*T1^9*T2^6 + 101*T1^10*T2^6 + 17*T1^11*T2^6 - 
     21*T1^12*T2^6 + 8*T1^13*T2^6 + 16*T1^14*T2^6 - 8*T2^7 - 32*T1*T2^7 + 
     50*T1^2*T2^7 - 18*T1^3*T2^7 - 142*T1^4*T2^7 + 30*T1^5*T2^7 - 
     4*T1^6*T2^7 - 42*T1^7*T2^7 - 42*T1^8*T2^7 - 4*T1^9*T2^7 + 
     30*T1^10*T2^7 - 142*T1^11*T2^7 - 18*T1^12*T2^7 + 50*T1^13*T2^7 - 
     32*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 24*T1*T2^8 + 16*T1^2*T2^8 - 
     118*T1^3*T2^8 + 247*T1^4*T2^8 - 64*T1^5*T2^8 + 28*T1^6*T2^8 - 
     42*T1^7*T2^8 + 132*T1^8*T2^8 - 42*T1^9*T2^8 + 28*T1^10*T2^8 - 
     64*T1^11*T2^8 + 247*T1^12*T2^8 - 118*T1^13*T2^8 + 16*T1^14*T2^8 + 
     24*T1^15*T2^8 + 2*T1^16*T2^8 - 8*T1*T2^9 - 32*T1^2*T2^9 + 50*T1^3*T2^9 - 
     18*T1^4*T2^9 - 142*T1^5*T2^9 + 30*T1^6*T2^9 - 4*T1^7*T2^9 - 
     42*T1^8*T2^9 - 42*T1^9*T2^9 - 4*T1^10*T2^9 + 30*T1^11*T2^9 - 
     142*T1^12*T2^9 - 18*T1^13*T2^9 + 50*T1^14*T2^9 - 32*T1^15*T2^9 - 
     8*T1^16*T2^9 + 16*T1^2*T2^10 + 8*T1^3*T2^10 - 21*T1^4*T2^10 + 
     17*T1^5*T2^10 + 101*T1^6*T2^10 + 30*T1^7*T2^10 + 28*T1^8*T2^10 - 
     4*T1^9*T2^10 + 28*T1^10*T2^10 + 30*T1^11*T2^10 + 101*T1^12*T2^10 + 
     17*T1^13*T2^10 - 21*T1^14*T2^10 + 8*T1^15*T2^10 + 16*T1^16*T2^10 - 
     18*T1^3*T2^11 + 6*T1^5*T2^11 + 17*T1^6*T2^11 - 142*T1^7*T2^11 - 
     64*T1^8*T2^11 + 30*T1^9*T2^11 + 30*T1^10*T2^11 - 64*T1^11*T2^11 - 
     142*T1^12*T2^11 + 17*T1^13*T2^11 + 6*T1^14*T2^11 - 18*T1^16*T2^11 + 
     18*T1^4*T2^12 - 21*T1^6*T2^12 - 18*T1^7*T2^12 + 247*T1^8*T2^12 - 
     142*T1^9*T2^12 + 101*T1^10*T2^12 - 142*T1^11*T2^12 + 247*T1^12*T2^12 - 
     18*T1^13*T2^12 - 21*T1^14*T2^12 + 18*T1^16*T2^12 - 18*T1^5*T2^13 + 
     8*T1^6*T2^13 + 50*T1^7*T2^13 - 118*T1^8*T2^13 - 18*T1^9*T2^13 + 
     17*T1^10*T2^13 + 17*T1^11*T2^13 - 18*T1^12*T2^13 - 118*T1^13*T2^13 + 
     50*T1^14*T2^13 + 8*T1^15*T2^13 - 18*T1^16*T2^13 + 16*T1^6*T2^14 - 
     32*T1^7*T2^14 + 16*T1^8*T2^14 + 50*T1^9*T2^14 - 21*T1^10*T2^14 + 
     6*T1^11*T2^14 - 21*T1^12*T2^14 + 50*T1^13*T2^14 + 16*T1^14*T2^14 - 
     32*T1^15*T2^14 + 16*T1^16*T2^14 - 8*T1^7*T2^15 + 24*T1^8*T2^15 - 
     32*T1^9*T2^15 + 8*T1^10*T2^15 + 8*T1^13*T2^15 - 32*T1^14*T2^15 + 
     24*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)/(T1^8*T2^8)}, 
 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 + 24*T1*T2 - 40*T1^2*T2 + 16*T1^3*T2 + 16*T1^6*T2 - 
      40*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 18*T2^2 - 40*T1*T2^2 + 
      51*T1^2*T2^2 + 24*T1^3*T2^2 - 6*T1^4*T2^2 - 27*T1^5*T2^2 - 
      6*T1^6*T2^2 + 24*T1^7*T2^2 + 51*T1^8*T2^2 - 40*T1^9*T2^2 + 
      18*T1^10*T2^2 - 22*T2^3 + 16*T1*T2^3 + 24*T1^2*T2^3 - 156*T1^3*T2^3 + 
      17*T1^4*T2^3 + 33*T1^5*T2^3 + 33*T1^6*T2^3 + 17*T1^7*T2^3 - 
      156*T1^8*T2^3 + 24*T1^9*T2^3 + 16*T1^10*T2^3 - 22*T1^11*T2^3 + 
      22*T2^4 - 6*T1^2*T2^4 + 17*T1^3*T2^4 + 337*T1^4*T2^4 - 301*T1^5*T2^4 + 
      189*T1^6*T2^4 - 301*T1^7*T2^4 + 337*T1^8*T2^4 + 17*T1^9*T2^4 - 
      6*T1^10*T2^4 + 22*T1^12*T2^4 - 22*T2^5 - 27*T1^2*T2^5 + 33*T1^3*T2^5 - 
      301*T1^4*T2^5 + 16*T1^5*T2^5 + 70*T1^6*T2^5 + 70*T1^7*T2^5 + 
      16*T1^8*T2^5 - 301*T1^9*T2^5 + 33*T1^10*T2^5 - 27*T1^11*T2^5 - 
      22*T1^13*T2^5 + 18*T2^6 + 16*T1*T2^6 - 6*T1^2*T2^6 + 33*T1^3*T2^6 + 
      189*T1^4*T2^6 + 70*T1^5*T2^6 - 17*T1^6*T2^6 - 67*T1^7*T2^6 - 
      17*T1^8*T2^6 + 70*T1^9*T2^6 + 189*T1^10*T2^6 + 33*T1^11*T2^6 - 
      6*T1^12*T2^6 + 16*T1^13*T2^6 + 18*T1^14*T2^6 - 8*T2^7 - 40*T1*T2^7 + 
      24*T1^2*T2^7 + 17*T1^3*T2^7 - 301*T1^4*T2^7 + 70*T1^5*T2^7 - 
      67*T1^6*T2^7 + 22*T1^7*T2^7 + 22*T1^8*T2^7 - 67*T1^9*T2^7 + 
      70*T1^10*T2^7 - 301*T1^11*T2^7 + 17*T1^12*T2^7 + 24*T1^13*T2^7 - 
      40*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 24*T1*T2^8 + 51*T1^2*T2^8 - 
      156*T1^3*T2^8 + 337*T1^4*T2^8 + 16*T1^5*T2^8 - 17*T1^6*T2^8 + 
      22*T1^7*T2^8 + 12*T1^8*T2^8 + 22*T1^9*T2^8 - 17*T1^10*T2^8 + 
      16*T1^11*T2^8 + 337*T1^12*T2^8 - 156*T1^13*T2^8 + 51*T1^14*T2^8 + 
      24*T1^15*T2^8 + 2*T1^16*T2^8 - 8*T1*T2^9 - 40*T1^2*T2^9 + 
      24*T1^3*T2^9 + 17*T1^4*T2^9 - 301*T1^5*T2^9 + 70*T1^6*T2^9 - 
      67*T1^7*T2^9 + 22*T1^8*T2^9 + 22*T1^9*T2^9 - 67*T1^10*T2^9 + 
      70*T1^11*T2^9 - 301*T1^12*T2^9 + 17*T1^13*T2^9 + 24*T1^14*T2^9 - 
      40*T1^15*T2^9 - 8*T1^16*T2^9 + 18*T1^2*T2^10 + 16*T1^3*T2^10 - 
      6*T1^4*T2^10 + 33*T1^5*T2^10 + 189*T1^6*T2^10 + 70*T1^7*T2^10 - 
      17*T1^8*T2^10 - 67*T1^9*T2^10 - 17*T1^10*T2^10 + 70*T1^11*T2^10 + 
      189*T1^12*T2^10 + 33*T1^13*T2^10 - 6*T1^14*T2^10 + 16*T1^15*T2^10 + 
      18*T1^16*T2^10 - 22*T1^3*T2^11 - 27*T1^5*T2^11 + 33*T1^6*T2^11 - 
      301*T1^7*T2^11 + 16*T1^8*T2^11 + 70*T1^9*T2^11 + 70*T1^10*T2^11 + 
      16*T1^11*T2^11 - 301*T1^12*T2^11 + 33*T1^13*T2^11 - 27*T1^14*T2^11 - 
      22*T1^16*T2^11 + 22*T1^4*T2^12 - 6*T1^6*T2^12 + 17*T1^7*T2^12 + 
      337*T1^8*T2^12 - 301*T1^9*T2^12 + 189*T1^10*T2^12 - 301*T1^11*T2^12 + 
      337*T1^12*T2^12 + 17*T1^13*T2^12 - 6*T1^14*T2^12 + 22*T1^16*T2^12 - 
      22*T1^5*T2^13 + 16*T1^6*T2^13 + 24*T1^7*T2^13 - 156*T1^8*T2^13 + 
      17*T1^9*T2^13 + 33*T1^10*T2^13 + 33*T1^11*T2^13 + 17*T1^12*T2^13 - 
      156*T1^13*T2^13 + 24*T1^14*T2^13 + 16*T1^15*T2^13 - 22*T1^16*T2^13 + 
      18*T1^6*T2^14 - 40*T1^7*T2^14 + 51*T1^8*T2^14 + 24*T1^9*T2^14 - 
      6*T1^10*T2^14 - 27*T1^11*T2^14 - 6*T1^12*T2^14 + 24*T1^13*T2^14 + 
      51*T1^14*T2^14 - 40*T1^15*T2^14 + 18*T1^16*T2^14 - 8*T1^7*T2^15 + 
      24*T1^8*T2^15 - 40*T1^9*T2^15 + 16*T1^10*T2^15 + 16*T1^13*T2^15 - 
      40*T1^14*T2^15 + 24*T1^15*T2^15 - 8*T1^16*T2^15 + 2*T1^8*T2^16 - 
      8*T1^9*T2^16 + 18*T1^10*T2^16 - 22*T1^11*T2^16 + 22*T1^12*T2^16 - 
      22*T1^13*T2^16 + 18*T1^14*T2^16 - 8*T1^15*T2^16 + 2*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, NonAlternating, 328] -> 
  {(1 - 3*T^2 + 5*T^3 - 5*T^4 + 5*T^5 - 3*T^6 + T^8)/T^4, 
   (4 - 12*T1^2 + 20*T1^3 - 20*T1^4 + 20*T1^5 - 12*T1^6 + 4*T1^8 - T1^2*T2 + 
     3*T1^3*T2 - 2*T1^4*T2 - 2*T1^5*T2 + 3*T1^6*T2 - T1^7*T2 - 12*T2^2 - 
     T1*T2^2 + 27*T1^2*T2^2 - 58*T1^3*T2^2 + 80*T1^4*T2^2 - 95*T1^5*T2^2 + 
     80*T1^6*T2^2 - 58*T1^7*T2^2 + 27*T1^8*T2^2 - T1^9*T2^2 - 12*T1^10*T2^2 + 
     20*T2^3 + 3*T1*T2^3 - 58*T1^2*T2^3 + 96*T1^3*T2^3 - 69*T1^4*T2^3 + 
     26*T1^5*T2^3 + 26*T1^6*T2^3 - 69*T1^7*T2^3 + 96*T1^8*T2^3 - 
     58*T1^9*T2^3 + 3*T1^10*T2^3 + 20*T1^11*T2^3 - 20*T2^4 - 2*T1*T2^4 + 
     80*T1^2*T2^4 - 69*T1^3*T2^4 - 31*T1^4*T2^4 + 64*T1^5*T2^4 - 
     45*T1^6*T2^4 + 64*T1^7*T2^4 - 31*T1^8*T2^4 - 69*T1^9*T2^4 + 
     80*T1^10*T2^4 - 2*T1^11*T2^4 - 20*T1^12*T2^4 + 20*T2^5 - 2*T1*T2^5 - 
     95*T1^2*T2^5 + 26*T1^3*T2^5 + 64*T1^4*T2^5 - 14*T1^5*T2^5 - 
     38*T1^6*T2^5 - 38*T1^7*T2^5 - 14*T1^8*T2^5 + 64*T1^9*T2^5 + 
     26*T1^10*T2^5 - 95*T1^11*T2^5 - 2*T1^12*T2^5 + 20*T1^13*T2^5 - 12*T2^6 + 
     3*T1*T2^6 + 80*T1^2*T2^6 + 26*T1^3*T2^6 - 45*T1^4*T2^6 - 38*T1^5*T2^6 + 
     47*T1^6*T2^6 + 53*T1^7*T2^6 + 47*T1^8*T2^6 - 38*T1^9*T2^6 - 
     45*T1^10*T2^6 + 26*T1^11*T2^6 + 80*T1^12*T2^6 + 3*T1^13*T2^6 - 
     12*T1^14*T2^6 - T1*T2^7 - 58*T1^2*T2^7 - 69*T1^3*T2^7 + 64*T1^4*T2^7 - 
     38*T1^5*T2^7 + 53*T1^6*T2^7 - 82*T1^7*T2^7 - 82*T1^8*T2^7 + 
     53*T1^9*T2^7 - 38*T1^10*T2^7 + 64*T1^11*T2^7 - 69*T1^12*T2^7 - 
     58*T1^13*T2^7 - T1^14*T2^7 + 4*T2^8 + 27*T1^2*T2^8 + 96*T1^3*T2^8 - 
     31*T1^4*T2^8 - 14*T1^5*T2^8 + 47*T1^6*T2^8 - 82*T1^7*T2^8 + 
     204*T1^8*T2^8 - 82*T1^9*T2^8 + 47*T1^10*T2^8 - 14*T1^11*T2^8 - 
     31*T1^12*T2^8 + 96*T1^13*T2^8 + 27*T1^14*T2^8 + 4*T1^16*T2^8 - 
     T1^2*T2^9 - 58*T1^3*T2^9 - 69*T1^4*T2^9 + 64*T1^5*T2^9 - 38*T1^6*T2^9 + 
     53*T1^7*T2^9 - 82*T1^8*T2^9 - 82*T1^9*T2^9 + 53*T1^10*T2^9 - 
     38*T1^11*T2^9 + 64*T1^12*T2^9 - 69*T1^13*T2^9 - 58*T1^14*T2^9 - 
     T1^15*T2^9 - 12*T1^2*T2^10 + 3*T1^3*T2^10 + 80*T1^4*T2^10 + 
     26*T1^5*T2^10 - 45*T1^6*T2^10 - 38*T1^7*T2^10 + 47*T1^8*T2^10 + 
     53*T1^9*T2^10 + 47*T1^10*T2^10 - 38*T1^11*T2^10 - 45*T1^12*T2^10 + 
     26*T1^13*T2^10 + 80*T1^14*T2^10 + 3*T1^15*T2^10 - 12*T1^16*T2^10 + 
     20*T1^3*T2^11 - 2*T1^4*T2^11 - 95*T1^5*T2^11 + 26*T1^6*T2^11 + 
     64*T1^7*T2^11 - 14*T1^8*T2^11 - 38*T1^9*T2^11 - 38*T1^10*T2^11 - 
     14*T1^11*T2^11 + 64*T1^12*T2^11 + 26*T1^13*T2^11 - 95*T1^14*T2^11 - 
     2*T1^15*T2^11 + 20*T1^16*T2^11 - 20*T1^4*T2^12 - 2*T1^5*T2^12 + 
     80*T1^6*T2^12 - 69*T1^7*T2^12 - 31*T1^8*T2^12 + 64*T1^9*T2^12 - 
     45*T1^10*T2^12 + 64*T1^11*T2^12 - 31*T1^12*T2^12 - 69*T1^13*T2^12 + 
     80*T1^14*T2^12 - 2*T1^15*T2^12 - 20*T1^16*T2^12 + 20*T1^5*T2^13 + 
     3*T1^6*T2^13 - 58*T1^7*T2^13 + 96*T1^8*T2^13 - 69*T1^9*T2^13 + 
     26*T1^10*T2^13 + 26*T1^11*T2^13 - 69*T1^12*T2^13 + 96*T1^13*T2^13 - 
     58*T1^14*T2^13 + 3*T1^15*T2^13 + 20*T1^16*T2^13 - 12*T1^6*T2^14 - 
     T1^7*T2^14 + 27*T1^8*T2^14 - 58*T1^9*T2^14 + 80*T1^10*T2^14 - 
     95*T1^11*T2^14 + 80*T1^12*T2^14 - 58*T1^13*T2^14 + 27*T1^14*T2^14 - 
     T1^15*T2^14 - 12*T1^16*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 + 
     4*T1^8*T2^16 - 12*T1^10*T2^16 + 20*T1^11*T2^16 - 20*T1^12*T2^16 + 
     20*T1^13*T2^16 - 12*T1^14*T2^16 + 4*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 329] -> 
  {((1 - T + T^2)*(1 + 2*T - 5*T^2 + 2*T^3 + T^4))/T^3, 
   -((3 + 3*T1 - 18*T1^2 + 27*T1^3 - 18*T1^4 + 3*T1^5 + 3*T1^6 + 3*T2 + 
      4*T1*T2 - 11*T1^2*T2 + 7*T1^3*T2 + 7*T1^4*T2 - 11*T1^5*T2 + 4*T1^6*T2 + 
      3*T1^7*T2 - 18*T2^2 - 11*T1*T2^2 + 86*T1^2*T2^2 - 181*T1^3*T2^2 + 
      220*T1^4*T2^2 - 181*T1^5*T2^2 + 86*T1^6*T2^2 - 11*T1^7*T2^2 - 
      18*T1^8*T2^2 + 27*T2^3 + 7*T1*T2^3 - 181*T1^2*T2^3 + 298*T1^3*T2^3 - 
      152*T1^4*T2^3 - 152*T1^5*T2^3 + 298*T1^6*T2^3 - 181*T1^7*T2^3 + 
      7*T1^8*T2^3 + 27*T1^9*T2^3 - 18*T2^4 + 7*T1*T2^4 + 220*T1^2*T2^4 - 
      152*T1^3*T2^4 - 224*T1^4*T2^4 + 484*T1^5*T2^4 - 224*T1^6*T2^4 - 
      152*T1^7*T2^4 + 220*T1^8*T2^4 + 7*T1^9*T2^4 - 18*T1^10*T2^4 + 3*T2^5 - 
      11*T1*T2^5 - 181*T1^2*T2^5 - 152*T1^3*T2^5 + 484*T1^4*T2^5 - 
      320*T1^5*T2^5 - 320*T1^6*T2^5 + 484*T1^7*T2^5 - 152*T1^8*T2^5 - 
      181*T1^9*T2^5 - 11*T1^10*T2^5 + 3*T1^11*T2^5 + 3*T2^6 + 4*T1*T2^6 + 
      86*T1^2*T2^6 + 298*T1^3*T2^6 - 224*T1^4*T2^6 - 320*T1^5*T2^6 + 
      756*T1^6*T2^6 - 320*T1^7*T2^6 - 224*T1^8*T2^6 + 298*T1^9*T2^6 + 
      86*T1^10*T2^6 + 4*T1^11*T2^6 + 3*T1^12*T2^6 + 3*T1*T2^7 - 
      11*T1^2*T2^7 - 181*T1^3*T2^7 - 152*T1^4*T2^7 + 484*T1^5*T2^7 - 
      320*T1^6*T2^7 - 320*T1^7*T2^7 + 484*T1^8*T2^7 - 152*T1^9*T2^7 - 
      181*T1^10*T2^7 - 11*T1^11*T2^7 + 3*T1^12*T2^7 - 18*T1^2*T2^8 + 
      7*T1^3*T2^8 + 220*T1^4*T2^8 - 152*T1^5*T2^8 - 224*T1^6*T2^8 + 
      484*T1^7*T2^8 - 224*T1^8*T2^8 - 152*T1^9*T2^8 + 220*T1^10*T2^8 + 
      7*T1^11*T2^8 - 18*T1^12*T2^8 + 27*T1^3*T2^9 + 7*T1^4*T2^9 - 
      181*T1^5*T2^9 + 298*T1^6*T2^9 - 152*T1^7*T2^9 - 152*T1^8*T2^9 + 
      298*T1^9*T2^9 - 181*T1^10*T2^9 + 7*T1^11*T2^9 + 27*T1^12*T2^9 - 
      18*T1^4*T2^10 - 11*T1^5*T2^10 + 86*T1^6*T2^10 - 181*T1^7*T2^10 + 
      220*T1^8*T2^10 - 181*T1^9*T2^10 + 86*T1^10*T2^10 - 11*T1^11*T2^10 - 
      18*T1^12*T2^10 + 3*T1^5*T2^11 + 4*T1^6*T2^11 - 11*T1^7*T2^11 + 
      7*T1^8*T2^11 + 7*T1^9*T2^11 - 11*T1^10*T2^11 + 4*T1^11*T2^11 + 
      3*T1^12*T2^11 + 3*T1^6*T2^12 + 3*T1^7*T2^12 - 18*T1^8*T2^12 + 
      27*T1^9*T2^12 - 18*T1^10*T2^12 + 3*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, NonAlternating, 330] -> 
  {((1 - T + T^2)*(2 - 7*T + 11*T^2 - 7*T^3 + 2*T^4))/T^3, 
   (9 - 41*T1 + 92*T1^2 - 115*T1^3 + 92*T1^4 - 41*T1^5 + 9*T1^6 - 41*T2 + 
     144*T1*T2 - 229*T1^2*T2 + 103*T1^3*T2 + 103*T1^4*T2 - 229*T1^5*T2 + 
     144*T1^6*T2 - 41*T1^7*T2 + 92*T2^2 - 229*T1*T2^2 + 179*T1^2*T2^2 + 
     315*T1^3*T2^2 - 515*T1^4*T2^2 + 315*T1^5*T2^2 + 179*T1^6*T2^2 - 
     229*T1^7*T2^2 + 92*T1^8*T2^2 - 115*T2^3 + 103*T1*T2^3 + 315*T1^2*T2^3 - 
     1030*T1^3*T2^3 + 461*T1^4*T2^3 + 461*T1^5*T2^3 - 1030*T1^6*T2^3 + 
     315*T1^7*T2^3 + 103*T1^8*T2^3 - 115*T1^9*T2^3 + 92*T2^4 + 103*T1*T2^4 - 
     515*T1^2*T2^4 + 461*T1^3*T2^4 + 1489*T1^4*T2^4 - 2267*T1^5*T2^4 + 
     1489*T1^6*T2^4 + 461*T1^7*T2^4 - 515*T1^8*T2^4 + 103*T1^9*T2^4 + 
     92*T1^10*T2^4 - 41*T2^5 - 229*T1*T2^5 + 315*T1^2*T2^5 + 461*T1^3*T2^5 - 
     2267*T1^4*T2^5 + 1064*T1^5*T2^5 + 1064*T1^6*T2^5 - 2267*T1^7*T2^5 + 
     461*T1^8*T2^5 + 315*T1^9*T2^5 - 229*T1^10*T2^5 - 41*T1^11*T2^5 + 
     9*T2^6 + 144*T1*T2^6 + 179*T1^2*T2^6 - 1030*T1^3*T2^6 + 1489*T1^4*T2^6 + 
     1064*T1^5*T2^6 - 2160*T1^6*T2^6 + 1064*T1^7*T2^6 + 1489*T1^8*T2^6 - 
     1030*T1^9*T2^6 + 179*T1^10*T2^6 + 144*T1^11*T2^6 + 9*T1^12*T2^6 - 
     41*T1*T2^7 - 229*T1^2*T2^7 + 315*T1^3*T2^7 + 461*T1^4*T2^7 - 
     2267*T1^5*T2^7 + 1064*T1^6*T2^7 + 1064*T1^7*T2^7 - 2267*T1^8*T2^7 + 
     461*T1^9*T2^7 + 315*T1^10*T2^7 - 229*T1^11*T2^7 - 41*T1^12*T2^7 + 
     92*T1^2*T2^8 + 103*T1^3*T2^8 - 515*T1^4*T2^8 + 461*T1^5*T2^8 + 
     1489*T1^6*T2^8 - 2267*T1^7*T2^8 + 1489*T1^8*T2^8 + 461*T1^9*T2^8 - 
     515*T1^10*T2^8 + 103*T1^11*T2^8 + 92*T1^12*T2^8 - 115*T1^3*T2^9 + 
     103*T1^4*T2^9 + 315*T1^5*T2^9 - 1030*T1^6*T2^9 + 461*T1^7*T2^9 + 
     461*T1^8*T2^9 - 1030*T1^9*T2^9 + 315*T1^10*T2^9 + 103*T1^11*T2^9 - 
     115*T1^12*T2^9 + 92*T1^4*T2^10 - 229*T1^5*T2^10 + 179*T1^6*T2^10 + 
     315*T1^7*T2^10 - 515*T1^8*T2^10 + 315*T1^9*T2^10 + 179*T1^10*T2^10 - 
     229*T1^11*T2^10 + 92*T1^12*T2^10 - 41*T1^5*T2^11 + 144*T1^6*T2^11 - 
     229*T1^7*T2^11 + 103*T1^8*T2^11 + 103*T1^9*T2^11 - 229*T1^10*T2^11 + 
     144*T1^11*T2^11 - 41*T1^12*T2^11 + 9*T1^6*T2^12 - 41*T1^7*T2^12 + 
     92*T1^8*T2^12 - 115*T1^9*T2^12 + 92*T1^10*T2^12 - 41*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 331] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2 - T^3 + T^4))/T^3), 
   (15 - 51*T1 + 64*T1^2 - 63*T1^3 + 64*T1^4 - 51*T1^5 + 15*T1^6 - 51*T2 + 
     122*T1*T2 - 45*T1^2*T2 - 3*T1^3*T2 - 3*T1^4*T2 - 45*T1^5*T2 + 
     122*T1^6*T2 - 51*T1^7*T2 + 64*T2^2 - 45*T1*T2^2 - 245*T1^2*T2^2 + 
     261*T1^3*T2^2 - 195*T1^4*T2^2 + 261*T1^5*T2^2 - 245*T1^6*T2^2 - 
     45*T1^7*T2^2 + 64*T1^8*T2^2 - 63*T2^3 - 3*T1*T2^3 + 261*T1^2*T2^3 - 
     52*T1^3*T2^3 - 44*T1^4*T2^3 - 44*T1^5*T2^3 - 52*T1^6*T2^3 + 
     261*T1^7*T2^3 - 3*T1^8*T2^3 - 63*T1^9*T2^3 + 64*T2^4 - 3*T1*T2^4 - 
     195*T1^2*T2^4 - 44*T1^3*T2^4 + 35*T1^4*T2^4 + 55*T1^5*T2^4 + 
     35*T1^6*T2^4 - 44*T1^7*T2^4 - 195*T1^8*T2^4 - 3*T1^9*T2^4 + 
     64*T1^10*T2^4 - 51*T2^5 - 45*T1*T2^5 + 261*T1^2*T2^5 - 44*T1^3*T2^5 + 
     55*T1^4*T2^5 - 58*T1^5*T2^5 - 58*T1^6*T2^5 + 55*T1^7*T2^5 - 
     44*T1^8*T2^5 + 261*T1^9*T2^5 - 45*T1^10*T2^5 - 51*T1^11*T2^5 + 15*T2^6 + 
     122*T1*T2^6 - 245*T1^2*T2^6 - 52*T1^3*T2^6 + 35*T1^4*T2^6 - 
     58*T1^5*T2^6 + 132*T1^6*T2^6 - 58*T1^7*T2^6 + 35*T1^8*T2^6 - 
     52*T1^9*T2^6 - 245*T1^10*T2^6 + 122*T1^11*T2^6 + 15*T1^12*T2^6 - 
     51*T1*T2^7 - 45*T1^2*T2^7 + 261*T1^3*T2^7 - 44*T1^4*T2^7 + 
     55*T1^5*T2^7 - 58*T1^6*T2^7 - 58*T1^7*T2^7 + 55*T1^8*T2^7 - 
     44*T1^9*T2^7 + 261*T1^10*T2^7 - 45*T1^11*T2^7 - 51*T1^12*T2^7 + 
     64*T1^2*T2^8 - 3*T1^3*T2^8 - 195*T1^4*T2^8 - 44*T1^5*T2^8 + 
     35*T1^6*T2^8 + 55*T1^7*T2^8 + 35*T1^8*T2^8 - 44*T1^9*T2^8 - 
     195*T1^10*T2^8 - 3*T1^11*T2^8 + 64*T1^12*T2^8 - 63*T1^3*T2^9 - 
     3*T1^4*T2^9 + 261*T1^5*T2^9 - 52*T1^6*T2^9 - 44*T1^7*T2^9 - 
     44*T1^8*T2^9 - 52*T1^9*T2^9 + 261*T1^10*T2^9 - 3*T1^11*T2^9 - 
     63*T1^12*T2^9 + 64*T1^4*T2^10 - 45*T1^5*T2^10 - 245*T1^6*T2^10 + 
     261*T1^7*T2^10 - 195*T1^8*T2^10 + 261*T1^9*T2^10 - 245*T1^10*T2^10 - 
     45*T1^11*T2^10 + 64*T1^12*T2^10 - 51*T1^5*T2^11 + 122*T1^6*T2^11 - 
     45*T1^7*T2^11 - 3*T1^8*T2^11 - 3*T1^9*T2^11 - 45*T1^10*T2^11 + 
     122*T1^11*T2^11 - 51*T1^12*T2^11 + 15*T1^6*T2^12 - 51*T1^7*T2^12 + 
     64*T1^8*T2^12 - 63*T1^9*T2^12 + 64*T1^10*T2^12 - 51*T1^11*T2^12 + 
     15*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 332] -> 
  {(2 - 2*T + T^2 - 2*T^3 + 2*T^4)/T^2, 
   -((17 - 15*T1 + 5*T1^2 - 15*T1^3 + 17*T1^4 - 15*T2 - 4*T1*T2 + 
      12*T1^2*T2 + 12*T1^3*T2 - 4*T1^4*T2 - 15*T1^5*T2 + 5*T2^2 + 
      12*T1*T2^2 - 15*T1^2*T2^2 + T1^3*T2^2 - 15*T1^4*T2^2 + 12*T1^5*T2^2 + 
      5*T1^6*T2^2 - 15*T2^3 + 12*T1*T2^3 + T1^2*T2^3 + T1^5*T2^3 + 
      12*T1^6*T2^3 - 15*T1^7*T2^3 + 17*T2^4 - 4*T1*T2^4 - 15*T1^2*T2^4 + 
      12*T1^4*T2^4 - 15*T1^6*T2^4 - 4*T1^7*T2^4 + 17*T1^8*T2^4 - 15*T1*T2^5 + 
      12*T1^2*T2^5 + T1^3*T2^5 + T1^6*T2^5 + 12*T1^7*T2^5 - 15*T1^8*T2^5 + 
      5*T1^2*T2^6 + 12*T1^3*T2^6 - 15*T1^4*T2^6 + T1^5*T2^6 - 15*T1^6*T2^6 + 
      12*T1^7*T2^6 + 5*T1^8*T2^6 - 15*T1^3*T2^7 - 4*T1^4*T2^7 + 
      12*T1^5*T2^7 + 12*T1^6*T2^7 - 4*T1^7*T2^7 - 15*T1^8*T2^7 + 
      17*T1^4*T2^8 - 15*T1^5*T2^8 + 5*T1^6*T2^8 - 15*T1^7*T2^8 + 
      17*T1^8*T2^8)/(T1^4*T2^4))}, Knot[12, NonAlternating, 333] -> 
  {(3 - 11*T + 17*T^2 - 11*T^3 + 3*T^4)/T^2, 
   (9 - 37*T1 + 61*T1^2 - 37*T1^3 + 9*T1^4 - 37*T2 + 110*T1*T2 - 94*T1^2*T2 - 
     94*T1^3*T2 + 110*T1^4*T2 - 37*T1^5*T2 + 61*T2^2 - 94*T1*T2^2 - 
     108*T1^2*T2^2 + 436*T1^3*T2^2 - 108*T1^4*T2^2 - 94*T1^5*T2^2 + 
     61*T1^6*T2^2 - 37*T2^3 - 94*T1*T2^3 + 436*T1^2*T2^3 - 464*T1^3*T2^3 - 
     464*T1^4*T2^3 + 436*T1^5*T2^3 - 94*T1^6*T2^3 - 37*T1^7*T2^3 + 9*T2^4 + 
     110*T1*T2^4 - 108*T1^2*T2^4 - 464*T1^3*T2^4 + 1308*T1^4*T2^4 - 
     464*T1^5*T2^4 - 108*T1^6*T2^4 + 110*T1^7*T2^4 + 9*T1^8*T2^4 - 
     37*T1*T2^5 - 94*T1^2*T2^5 + 436*T1^3*T2^5 - 464*T1^4*T2^5 - 
     464*T1^5*T2^5 + 436*T1^6*T2^5 - 94*T1^7*T2^5 - 37*T1^8*T2^5 + 
     61*T1^2*T2^6 - 94*T1^3*T2^6 - 108*T1^4*T2^6 + 436*T1^5*T2^6 - 
     108*T1^6*T2^6 - 94*T1^7*T2^6 + 61*T1^8*T2^6 - 37*T1^3*T2^7 + 
     110*T1^4*T2^7 - 94*T1^5*T2^7 - 94*T1^6*T2^7 + 110*T1^7*T2^7 - 
     37*T1^8*T2^7 + 9*T1^4*T2^8 - 37*T1^5*T2^8 + 61*T1^6*T2^8 - 
     37*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 334] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 3*T + 2*T^2))/T^2), 
   (2*(32 - 122*T1 + 172*T1^2 - 122*T1^3 + 32*T1^4 - 122*T2 + 342*T1*T2 - 
      191*T1^2*T2 - 191*T1^3*T2 + 342*T1^4*T2 - 122*T1^5*T2 + 172*T2^2 - 
      191*T1*T2^2 - 660*T1^2*T2^2 + 1179*T1^3*T2^2 - 660*T1^4*T2^2 - 
      191*T1^5*T2^2 + 172*T1^6*T2^2 - 122*T2^3 - 191*T1*T2^3 + 
      1179*T1^2*T2^3 - 706*T1^3*T2^3 - 706*T1^4*T2^3 + 1179*T1^5*T2^3 - 
      191*T1^6*T2^3 - 122*T1^7*T2^3 + 32*T2^4 + 342*T1*T2^4 - 660*T1^2*T2^4 - 
      706*T1^3*T2^4 + 1602*T1^4*T2^4 - 706*T1^5*T2^4 - 660*T1^6*T2^4 + 
      342*T1^7*T2^4 + 32*T1^8*T2^4 - 122*T1*T2^5 - 191*T1^2*T2^5 + 
      1179*T1^3*T2^5 - 706*T1^4*T2^5 - 706*T1^5*T2^5 + 1179*T1^6*T2^5 - 
      191*T1^7*T2^5 - 122*T1^8*T2^5 + 172*T1^2*T2^6 - 191*T1^3*T2^6 - 
      660*T1^4*T2^6 + 1179*T1^5*T2^6 - 660*T1^6*T2^6 - 191*T1^7*T2^6 + 
      172*T1^8*T2^6 - 122*T1^3*T2^7 + 342*T1^4*T2^7 - 191*T1^5*T2^7 - 
      191*T1^6*T2^7 + 342*T1^7*T2^7 - 122*T1^8*T2^7 + 32*T1^4*T2^8 - 
      122*T1^5*T2^8 + 172*T1^6*T2^8 - 122*T1^7*T2^8 + 32*T1^8*T2^8))/
    (T1^4*T2^4)}, Knot[12, NonAlternating, 335] -> 
  {(2 - 10*T + 22*T^2 - 27*T^3 + 22*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (9 - 45*T1 + 98*T1^2 - 119*T1^3 + 98*T1^4 - 45*T1^5 + 9*T1^6 - 45*T2 + 
     180*T1*T2 - 266*T1^2*T2 + 106*T1^3*T2 + 106*T1^4*T2 - 266*T1^5*T2 + 
     180*T1^6*T2 - 45*T1^7*T2 + 98*T2^2 - 266*T1*T2^2 + 41*T1^2*T2^2 + 
     684*T1^3*T2^2 - 889*T1^4*T2^2 + 684*T1^5*T2^2 + 41*T1^6*T2^2 - 
     266*T1^7*T2^2 + 98*T1^8*T2^2 - 119*T2^3 + 106*T1*T2^3 + 684*T1^2*T2^3 - 
     1520*T1^3*T2^3 + 543*T1^4*T2^3 + 543*T1^5*T2^3 - 1520*T1^6*T2^3 + 
     684*T1^7*T2^3 + 106*T1^8*T2^3 - 119*T1^9*T2^3 + 98*T2^4 + 106*T1*T2^4 - 
     889*T1^2*T2^4 + 543*T1^3*T2^4 + 2015*T1^4*T2^4 - 2597*T1^5*T2^4 + 
     2015*T1^6*T2^4 + 543*T1^7*T2^4 - 889*T1^8*T2^4 + 106*T1^9*T2^4 + 
     98*T1^10*T2^4 - 45*T2^5 - 266*T1*T2^5 + 684*T1^2*T2^5 + 543*T1^3*T2^5 - 
     2597*T1^4*T2^5 + 872*T1^5*T2^5 + 872*T1^6*T2^5 - 2597*T1^7*T2^5 + 
     543*T1^8*T2^5 + 684*T1^9*T2^5 - 266*T1^10*T2^5 - 45*T1^11*T2^5 + 
     9*T2^6 + 180*T1*T2^6 + 41*T1^2*T2^6 - 1520*T1^3*T2^6 + 2015*T1^4*T2^6 + 
     872*T1^5*T2^6 - 1392*T1^6*T2^6 + 872*T1^7*T2^6 + 2015*T1^8*T2^6 - 
     1520*T1^9*T2^6 + 41*T1^10*T2^6 + 180*T1^11*T2^6 + 9*T1^12*T2^6 - 
     45*T1*T2^7 - 266*T1^2*T2^7 + 684*T1^3*T2^7 + 543*T1^4*T2^7 - 
     2597*T1^5*T2^7 + 872*T1^6*T2^7 + 872*T1^7*T2^7 - 2597*T1^8*T2^7 + 
     543*T1^9*T2^7 + 684*T1^10*T2^7 - 266*T1^11*T2^7 - 45*T1^12*T2^7 + 
     98*T1^2*T2^8 + 106*T1^3*T2^8 - 889*T1^4*T2^8 + 543*T1^5*T2^8 + 
     2015*T1^6*T2^8 - 2597*T1^7*T2^8 + 2015*T1^8*T2^8 + 543*T1^9*T2^8 - 
     889*T1^10*T2^8 + 106*T1^11*T2^8 + 98*T1^12*T2^8 - 119*T1^3*T2^9 + 
     106*T1^4*T2^9 + 684*T1^5*T2^9 - 1520*T1^6*T2^9 + 543*T1^7*T2^9 + 
     543*T1^8*T2^9 - 1520*T1^9*T2^9 + 684*T1^10*T2^9 + 106*T1^11*T2^9 - 
     119*T1^12*T2^9 + 98*T1^4*T2^10 - 266*T1^5*T2^10 + 41*T1^6*T2^10 + 
     684*T1^7*T2^10 - 889*T1^8*T2^10 + 684*T1^9*T2^10 + 41*T1^10*T2^10 - 
     266*T1^11*T2^10 + 98*T1^12*T2^10 - 45*T1^5*T2^11 + 180*T1^6*T2^11 - 
     266*T1^7*T2^11 + 106*T1^8*T2^11 + 106*T1^9*T2^11 - 266*T1^10*T2^11 + 
     180*T1^11*T2^11 - 45*T1^12*T2^11 + 9*T1^6*T2^12 - 45*T1^7*T2^12 + 
     98*T1^8*T2^12 - 119*T1^9*T2^12 + 98*T1^10*T2^12 - 45*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 336] -> 
  {-((1 - 2*T + T^3 - 2*T^5 + T^6)/T^3), 
   (2 - 4*T1 + 2*T1^3 - 4*T1^5 + 2*T1^6 - 4*T2 + 4*T1*T2 + 9*T1^2*T2 - 
     5*T1^3*T2 - 5*T1^4*T2 + 9*T1^5*T2 + 4*T1^6*T2 - 4*T1^7*T2 + 9*T1*T2^2 - 
     19*T1^2*T2^2 - 4*T1^3*T2^2 + 21*T1^4*T2^2 - 4*T1^5*T2^2 - 19*T1^6*T2^2 + 
     9*T1^7*T2^2 + 2*T2^3 - 5*T1*T2^3 - 4*T1^2*T2^3 + 22*T1^3*T2^3 - 
     19*T1^4*T2^3 - 19*T1^5*T2^3 + 22*T1^6*T2^3 - 4*T1^7*T2^3 - 5*T1^8*T2^3 + 
     2*T1^9*T2^3 - 5*T1*T2^4 + 21*T1^2*T2^4 - 19*T1^3*T2^4 + 4*T1^4*T2^4 + 
     18*T1^5*T2^4 + 4*T1^6*T2^4 - 19*T1^7*T2^4 + 21*T1^8*T2^4 - 5*T1^9*T2^4 - 
     4*T2^5 + 9*T1*T2^5 - 4*T1^2*T2^5 - 19*T1^3*T2^5 + 18*T1^4*T2^5 - 
     10*T1^5*T2^5 - 10*T1^6*T2^5 + 18*T1^7*T2^5 - 19*T1^8*T2^5 - 
     4*T1^9*T2^5 + 9*T1^10*T2^5 - 4*T1^11*T2^5 + 2*T2^6 + 4*T1*T2^6 - 
     19*T1^2*T2^6 + 22*T1^3*T2^6 + 4*T1^4*T2^6 - 10*T1^5*T2^6 + 
     12*T1^6*T2^6 - 10*T1^7*T2^6 + 4*T1^8*T2^6 + 22*T1^9*T2^6 - 
     19*T1^10*T2^6 + 4*T1^11*T2^6 + 2*T1^12*T2^6 - 4*T1*T2^7 + 9*T1^2*T2^7 - 
     4*T1^3*T2^7 - 19*T1^4*T2^7 + 18*T1^5*T2^7 - 10*T1^6*T2^7 - 
     10*T1^7*T2^7 + 18*T1^8*T2^7 - 19*T1^9*T2^7 - 4*T1^10*T2^7 + 
     9*T1^11*T2^7 - 4*T1^12*T2^7 - 5*T1^3*T2^8 + 21*T1^4*T2^8 - 
     19*T1^5*T2^8 + 4*T1^6*T2^8 + 18*T1^7*T2^8 + 4*T1^8*T2^8 - 19*T1^9*T2^8 + 
     21*T1^10*T2^8 - 5*T1^11*T2^8 + 2*T1^3*T2^9 - 5*T1^4*T2^9 - 4*T1^5*T2^9 + 
     22*T1^6*T2^9 - 19*T1^7*T2^9 - 19*T1^8*T2^9 + 22*T1^9*T2^9 - 
     4*T1^10*T2^9 - 5*T1^11*T2^9 + 2*T1^12*T2^9 + 9*T1^5*T2^10 - 
     19*T1^6*T2^10 - 4*T1^7*T2^10 + 21*T1^8*T2^10 - 4*T1^9*T2^10 - 
     19*T1^10*T2^10 + 9*T1^11*T2^10 - 4*T1^5*T2^11 + 4*T1^6*T2^11 + 
     9*T1^7*T2^11 - 5*T1^8*T2^11 - 5*T1^9*T2^11 + 9*T1^10*T2^11 + 
     4*T1^11*T2^11 - 4*T1^12*T2^11 + 2*T1^6*T2^12 - 4*T1^7*T2^12 + 
     2*T1^9*T2^12 - 4*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 337] -> 
  {(1 - 9*T + 25*T^2 - 33*T^3 + 25*T^4 - 9*T^5 + T^6)/T^3, 
   -((1 - 9*T1 + 25*T1^2 - 33*T1^3 + 25*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
      72*T1*T2 - 144*T1^2*T2 + 72*T1^3*T2 + 72*T1^4*T2 - 144*T1^5*T2 + 
      72*T1^6*T2 - 9*T1^7*T2 + 25*T2^2 - 144*T1*T2^2 - 56*T1^2*T2^2 + 
      886*T1^3*T2^2 - 1296*T1^4*T2^2 + 886*T1^5*T2^2 - 56*T1^6*T2^2 - 
      144*T1^7*T2^2 + 25*T1^8*T2^2 - 33*T2^3 + 72*T1*T2^3 + 886*T1^2*T2^3 - 
      2304*T1^3*T2^3 + 1148*T1^4*T2^3 + 1148*T1^5*T2^3 - 2304*T1^6*T2^3 + 
      886*T1^7*T2^3 + 72*T1^8*T2^3 - 33*T1^9*T2^3 + 25*T2^4 + 72*T1*T2^4 - 
      1296*T1^2*T2^4 + 1148*T1^3*T2^4 + 3405*T1^4*T2^4 - 5675*T1^5*T2^4 + 
      3405*T1^6*T2^4 + 1148*T1^7*T2^4 - 1296*T1^8*T2^4 + 72*T1^9*T2^4 + 
      25*T1^10*T2^4 - 9*T2^5 - 144*T1*T2^5 + 886*T1^2*T2^5 + 1148*T1^3*T2^5 - 
      5675*T1^4*T2^5 + 3004*T1^5*T2^5 + 3004*T1^6*T2^5 - 5675*T1^7*T2^5 + 
      1148*T1^8*T2^5 + 886*T1^9*T2^5 - 144*T1^10*T2^5 - 9*T1^11*T2^5 + T2^6 + 
      72*T1*T2^6 - 56*T1^2*T2^6 - 2304*T1^3*T2^6 + 3405*T1^4*T2^6 + 
      3004*T1^5*T2^6 - 6444*T1^6*T2^6 + 3004*T1^7*T2^6 + 3405*T1^8*T2^6 - 
      2304*T1^9*T2^6 - 56*T1^10*T2^6 + 72*T1^11*T2^6 + T1^12*T2^6 - 
      9*T1*T2^7 - 144*T1^2*T2^7 + 886*T1^3*T2^7 + 1148*T1^4*T2^7 - 
      5675*T1^5*T2^7 + 3004*T1^6*T2^7 + 3004*T1^7*T2^7 - 5675*T1^8*T2^7 + 
      1148*T1^9*T2^7 + 886*T1^10*T2^7 - 144*T1^11*T2^7 - 9*T1^12*T2^7 + 
      25*T1^2*T2^8 + 72*T1^3*T2^8 - 1296*T1^4*T2^8 + 1148*T1^5*T2^8 + 
      3405*T1^6*T2^8 - 5675*T1^7*T2^8 + 3405*T1^8*T2^8 + 1148*T1^9*T2^8 - 
      1296*T1^10*T2^8 + 72*T1^11*T2^8 + 25*T1^12*T2^8 - 33*T1^3*T2^9 + 
      72*T1^4*T2^9 + 886*T1^5*T2^9 - 2304*T1^6*T2^9 + 1148*T1^7*T2^9 + 
      1148*T1^8*T2^9 - 2304*T1^9*T2^9 + 886*T1^10*T2^9 + 72*T1^11*T2^9 - 
      33*T1^12*T2^9 + 25*T1^4*T2^10 - 144*T1^5*T2^10 - 56*T1^6*T2^10 + 
      886*T1^7*T2^10 - 1296*T1^8*T2^10 + 886*T1^9*T2^10 - 56*T1^10*T2^10 - 
      144*T1^11*T2^10 + 25*T1^12*T2^10 - 9*T1^5*T2^11 + 72*T1^6*T2^11 - 
      144*T1^7*T2^11 + 72*T1^8*T2^11 + 72*T1^9*T2^11 - 144*T1^10*T2^11 + 
      72*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 
      25*T1^8*T2^12 - 33*T1^9*T2^12 + 25*T1^10*T2^12 - 9*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   (33 - 65*T1 + 64*T1^2 - 30*T1^3 + 13*T1^4 - 30*T1^5 + 64*T1^6 - 65*T1^7 + 
     33*T1^8 - 65*T2 + 64*T1*T2 + T1^2*T2 - 66*T1^3*T2 + 33*T1^4*T2 + 
     33*T1^5*T2 - 66*T1^6*T2 + T1^7*T2 + 64*T1^8*T2 - 65*T1^9*T2 + 64*T2^2 + 
     T1*T2^2 - 70*T1^2*T2^2 + 73*T1^3*T2^2 + 24*T1^4*T2^2 - 58*T1^5*T2^2 + 
     24*T1^6*T2^2 + 73*T1^7*T2^2 - 70*T1^8*T2^2 + T1^9*T2^2 + 64*T1^10*T2^2 - 
     30*T2^3 - 66*T1*T2^3 + 73*T1^2*T2^3 - 10*T1^3*T2^3 - 73*T1^4*T2^3 + 
     31*T1^5*T2^3 + 31*T1^6*T2^3 - 73*T1^7*T2^3 - 10*T1^8*T2^3 + 
     73*T1^9*T2^3 - 66*T1^10*T2^3 - 30*T1^11*T2^3 + 13*T2^4 + 33*T1*T2^4 + 
     24*T1^2*T2^4 - 73*T1^3*T2^4 + 78*T1^4*T2^4 - 4*T1^5*T2^4 - 
     18*T1^6*T2^4 - 4*T1^7*T2^4 + 78*T1^8*T2^4 - 73*T1^9*T2^4 + 
     24*T1^10*T2^4 + 33*T1^11*T2^4 + 13*T1^12*T2^4 - 30*T2^5 + 33*T1*T2^5 - 
     58*T1^2*T2^5 + 31*T1^3*T2^5 - 4*T1^4*T2^5 - 28*T1^5*T2^5 + 
     10*T1^6*T2^5 + 10*T1^7*T2^5 - 28*T1^8*T2^5 - 4*T1^9*T2^5 + 
     31*T1^10*T2^5 - 58*T1^11*T2^5 + 33*T1^12*T2^5 - 30*T1^13*T2^5 + 
     64*T2^6 - 66*T1*T2^6 + 24*T1^2*T2^6 + 31*T1^3*T2^6 - 18*T1^4*T2^6 + 
     10*T1^5*T2^6 + 9*T1^6*T2^6 - 7*T1^7*T2^6 + 9*T1^8*T2^6 + 10*T1^9*T2^6 - 
     18*T1^10*T2^6 + 31*T1^11*T2^6 + 24*T1^12*T2^6 - 66*T1^13*T2^6 + 
     64*T1^14*T2^6 - 65*T2^7 + T1*T2^7 + 73*T1^2*T2^7 - 73*T1^3*T2^7 - 
     4*T1^4*T2^7 + 10*T1^5*T2^7 - 7*T1^6*T2^7 - 6*T1^7*T2^7 - 6*T1^8*T2^7 - 
     7*T1^9*T2^7 + 10*T1^10*T2^7 - 4*T1^11*T2^7 - 73*T1^12*T2^7 + 
     73*T1^13*T2^7 + T1^14*T2^7 - 65*T1^15*T2^7 + 33*T2^8 + 64*T1*T2^8 - 
     70*T1^2*T2^8 - 10*T1^3*T2^8 + 78*T1^4*T2^8 - 28*T1^5*T2^8 + 
     9*T1^6*T2^8 - 6*T1^7*T2^8 + 24*T1^8*T2^8 - 6*T1^9*T2^8 + 9*T1^10*T2^8 - 
     28*T1^11*T2^8 + 78*T1^12*T2^8 - 10*T1^13*T2^8 - 70*T1^14*T2^8 + 
     64*T1^15*T2^8 + 33*T1^16*T2^8 - 65*T1*T2^9 + T1^2*T2^9 + 73*T1^3*T2^9 - 
     73*T1^4*T2^9 - 4*T1^5*T2^9 + 10*T1^6*T2^9 - 7*T1^7*T2^9 - 6*T1^8*T2^9 - 
     6*T1^9*T2^9 - 7*T1^10*T2^9 + 10*T1^11*T2^9 - 4*T1^12*T2^9 - 
     73*T1^13*T2^9 + 73*T1^14*T2^9 + T1^15*T2^9 - 65*T1^16*T2^9 + 
     64*T1^2*T2^10 - 66*T1^3*T2^10 + 24*T1^4*T2^10 + 31*T1^5*T2^10 - 
     18*T1^6*T2^10 + 10*T1^7*T2^10 + 9*T1^8*T2^10 - 7*T1^9*T2^10 + 
     9*T1^10*T2^10 + 10*T1^11*T2^10 - 18*T1^12*T2^10 + 31*T1^13*T2^10 + 
     24*T1^14*T2^10 - 66*T1^15*T2^10 + 64*T1^16*T2^10 - 30*T1^3*T2^11 + 
     33*T1^4*T2^11 - 58*T1^5*T2^11 + 31*T1^6*T2^11 - 4*T1^7*T2^11 - 
     28*T1^8*T2^11 + 10*T1^9*T2^11 + 10*T1^10*T2^11 - 28*T1^11*T2^11 - 
     4*T1^12*T2^11 + 31*T1^13*T2^11 - 58*T1^14*T2^11 + 33*T1^15*T2^11 - 
     30*T1^16*T2^11 + 13*T1^4*T2^12 + 33*T1^5*T2^12 + 24*T1^6*T2^12 - 
     73*T1^7*T2^12 + 78*T1^8*T2^12 - 4*T1^9*T2^12 - 18*T1^10*T2^12 - 
     4*T1^11*T2^12 + 78*T1^12*T2^12 - 73*T1^13*T2^12 + 24*T1^14*T2^12 + 
     33*T1^15*T2^12 + 13*T1^16*T2^12 - 30*T1^5*T2^13 - 66*T1^6*T2^13 + 
     73*T1^7*T2^13 - 10*T1^8*T2^13 - 73*T1^9*T2^13 + 31*T1^10*T2^13 + 
     31*T1^11*T2^13 - 73*T1^12*T2^13 - 10*T1^13*T2^13 + 73*T1^14*T2^13 - 
     66*T1^15*T2^13 - 30*T1^16*T2^13 + 64*T1^6*T2^14 + T1^7*T2^14 - 
     70*T1^8*T2^14 + 73*T1^9*T2^14 + 24*T1^10*T2^14 - 58*T1^11*T2^14 + 
     24*T1^12*T2^14 + 73*T1^13*T2^14 - 70*T1^14*T2^14 + T1^15*T2^14 + 
     64*T1^16*T2^14 - 65*T1^7*T2^15 + 64*T1^8*T2^15 + T1^9*T2^15 - 
     66*T1^10*T2^15 + 33*T1^11*T2^15 + 33*T1^12*T2^15 - 66*T1^13*T2^15 + 
     T1^14*T2^15 + 64*T1^15*T2^15 - 65*T1^16*T2^15 + 33*T1^8*T2^16 - 
     65*T1^9*T2^16 + 64*T1^10*T2^16 - 30*T1^11*T2^16 + 13*T1^12*T2^16 - 
     30*T1^13*T2^16 + 64*T1^14*T2^16 - 65*T1^15*T2^16 + 33*T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, NonAlternating, 339] -> 
  {(3 - 11*T + 21*T^2 - 25*T^3 + 21*T^4 - 11*T^5 + 3*T^6)/T^3, 
   (30 - 108*T1 + 202*T1^2 - 238*T1^3 + 202*T1^4 - 108*T1^5 + 30*T1^6 - 
     108*T2 + 282*T1*T2 - 342*T1^2*T2 + 132*T1^3*T2 + 132*T1^4*T2 - 
     342*T1^5*T2 + 282*T1^6*T2 - 108*T1^7*T2 + 202*T2^2 - 342*T1*T2^2 + 
     155*T1^2*T2^2 + 349*T1^3*T2^2 - 467*T1^4*T2^2 + 349*T1^5*T2^2 + 
     155*T1^6*T2^2 - 342*T1^7*T2^2 + 202*T1^8*T2^2 - 238*T2^3 + 132*T1*T2^3 + 
     349*T1^2*T2^3 - 800*T1^3*T2^3 + 251*T1^4*T2^3 + 251*T1^5*T2^3 - 
     800*T1^6*T2^3 + 349*T1^7*T2^3 + 132*T1^8*T2^3 - 238*T1^9*T2^3 + 
     202*T2^4 + 132*T1*T2^4 - 467*T1^2*T2^4 + 251*T1^3*T2^4 + 999*T1^4*T2^4 - 
     1187*T1^5*T2^4 + 999*T1^6*T2^4 + 251*T1^7*T2^4 - 467*T1^8*T2^4 + 
     132*T1^9*T2^4 + 202*T1^10*T2^4 - 108*T2^5 - 342*T1*T2^5 + 
     349*T1^2*T2^5 + 251*T1^3*T2^5 - 1187*T1^4*T2^5 + 334*T1^5*T2^5 + 
     334*T1^6*T2^5 - 1187*T1^7*T2^5 + 251*T1^8*T2^5 + 349*T1^9*T2^5 - 
     342*T1^10*T2^5 - 108*T1^11*T2^5 + 30*T2^6 + 282*T1*T2^6 + 
     155*T1^2*T2^6 - 800*T1^3*T2^6 + 999*T1^4*T2^6 + 334*T1^5*T2^6 - 
     456*T1^6*T2^6 + 334*T1^7*T2^6 + 999*T1^8*T2^6 - 800*T1^9*T2^6 + 
     155*T1^10*T2^6 + 282*T1^11*T2^6 + 30*T1^12*T2^6 - 108*T1*T2^7 - 
     342*T1^2*T2^7 + 349*T1^3*T2^7 + 251*T1^4*T2^7 - 1187*T1^5*T2^7 + 
     334*T1^6*T2^7 + 334*T1^7*T2^7 - 1187*T1^8*T2^7 + 251*T1^9*T2^7 + 
     349*T1^10*T2^7 - 342*T1^11*T2^7 - 108*T1^12*T2^7 + 202*T1^2*T2^8 + 
     132*T1^3*T2^8 - 467*T1^4*T2^8 + 251*T1^5*T2^8 + 999*T1^6*T2^8 - 
     1187*T1^7*T2^8 + 999*T1^8*T2^8 + 251*T1^9*T2^8 - 467*T1^10*T2^8 + 
     132*T1^11*T2^8 + 202*T1^12*T2^8 - 238*T1^3*T2^9 + 132*T1^4*T2^9 + 
     349*T1^5*T2^9 - 800*T1^6*T2^9 + 251*T1^7*T2^9 + 251*T1^8*T2^9 - 
     800*T1^9*T2^9 + 349*T1^10*T2^9 + 132*T1^11*T2^9 - 238*T1^12*T2^9 + 
     202*T1^4*T2^10 - 342*T1^5*T2^10 + 155*T1^6*T2^10 + 349*T1^7*T2^10 - 
     467*T1^8*T2^10 + 349*T1^9*T2^10 + 155*T1^10*T2^10 - 342*T1^11*T2^10 + 
     202*T1^12*T2^10 - 108*T1^5*T2^11 + 282*T1^6*T2^11 - 342*T1^7*T2^11 + 
     132*T1^8*T2^11 + 132*T1^9*T2^11 - 342*T1^10*T2^11 + 282*T1^11*T2^11 - 
     108*T1^12*T2^11 + 30*T1^6*T2^12 - 108*T1^7*T2^12 + 202*T1^8*T2^12 - 
     238*T1^9*T2^12 + 202*T1^10*T2^12 - 108*T1^11*T2^12 + 30*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 340] -> 
  {-((1 - 3*T + 3*T^2 - 3*T^3 + 3*T^4 - 3*T^5 + T^6)/T^3), 
   -((4 + T1 + T1^2 + 4*T1^3 + T2 - 39*T1*T2 + 31*T1^2*T2 - 39*T1^3*T2 + 
      T1^4*T2 + T2^2 + 31*T1*T2^2 + 14*T1^2*T2^2 + 14*T1^3*T2^2 + 
      31*T1^4*T2^2 + T1^5*T2^2 + 4*T2^3 - 39*T1*T2^3 + 14*T1^2*T2^3 - 
      72*T1^3*T2^3 + 14*T1^4*T2^3 - 39*T1^5*T2^3 + 4*T1^6*T2^3 + T1*T2^4 + 
      31*T1^2*T2^4 + 14*T1^3*T2^4 + 14*T1^4*T2^4 + 31*T1^5*T2^4 + T1^6*T2^4 + 
      T1^2*T2^5 - 39*T1^3*T2^5 + 31*T1^4*T2^5 - 39*T1^5*T2^5 + T1^6*T2^5 + 
      4*T1^3*T2^6 + T1^4*T2^6 + T1^5*T2^6 + 4*T1^6*T2^6)/(T1^3*T2^3))}, 
 Knot[12, NonAlternating, 341] -> 
  {(4 - 10*T + 13*T^2 - 13*T^3 + 13*T^4 - 10*T^5 + 4*T^6)/T^3, 
   (208 - 508*T1 + 648*T1^2 - 640*T1^3 + 648*T1^4 - 508*T1^5 + 208*T1^6 - 
     508*T2 + 742*T1*T2 - 354*T1^2*T2 - 14*T1^3*T2 - 14*T1^4*T2 - 
     354*T1^5*T2 + 742*T1^6*T2 - 508*T1^7*T2 + 648*T2^2 - 354*T1*T2^2 - 
     433*T1^2*T2^2 + 466*T1^3*T2^2 - 9*T1^4*T2^2 + 466*T1^5*T2^2 - 
     433*T1^6*T2^2 - 354*T1^7*T2^2 + 648*T1^8*T2^2 - 640*T2^3 - 14*T1*T2^3 + 
     466*T1^2*T2^3 + 26*T1^3*T2^3 - 376*T1^4*T2^3 - 376*T1^5*T2^3 + 
     26*T1^6*T2^3 + 466*T1^7*T2^3 - 14*T1^8*T2^3 - 640*T1^9*T2^3 + 648*T2^4 - 
     14*T1*T2^4 - 9*T1^2*T2^4 - 376*T1^3*T2^4 + 343*T1^4*T2^4 + 
     275*T1^5*T2^4 + 343*T1^6*T2^4 - 376*T1^7*T2^4 - 9*T1^8*T2^4 - 
     14*T1^9*T2^4 + 648*T1^10*T2^4 - 508*T2^5 - 354*T1*T2^5 + 466*T1^2*T2^5 - 
     376*T1^3*T2^5 + 275*T1^4*T2^5 - 372*T1^5*T2^5 - 372*T1^6*T2^5 + 
     275*T1^7*T2^5 - 376*T1^8*T2^5 + 466*T1^9*T2^5 - 354*T1^10*T2^5 - 
     508*T1^11*T2^5 + 208*T2^6 + 742*T1*T2^6 - 433*T1^2*T2^6 + 26*T1^3*T2^6 + 
     343*T1^4*T2^6 - 372*T1^5*T2^6 + 816*T1^6*T2^6 - 372*T1^7*T2^6 + 
     343*T1^8*T2^6 + 26*T1^9*T2^6 - 433*T1^10*T2^6 + 742*T1^11*T2^6 + 
     208*T1^12*T2^6 - 508*T1*T2^7 - 354*T1^2*T2^7 + 466*T1^3*T2^7 - 
     376*T1^4*T2^7 + 275*T1^5*T2^7 - 372*T1^6*T2^7 - 372*T1^7*T2^7 + 
     275*T1^8*T2^7 - 376*T1^9*T2^7 + 466*T1^10*T2^7 - 354*T1^11*T2^7 - 
     508*T1^12*T2^7 + 648*T1^2*T2^8 - 14*T1^3*T2^8 - 9*T1^4*T2^8 - 
     376*T1^5*T2^8 + 343*T1^6*T2^8 + 275*T1^7*T2^8 + 343*T1^8*T2^8 - 
     376*T1^9*T2^8 - 9*T1^10*T2^8 - 14*T1^11*T2^8 + 648*T1^12*T2^8 - 
     640*T1^3*T2^9 - 14*T1^4*T2^9 + 466*T1^5*T2^9 + 26*T1^6*T2^9 - 
     376*T1^7*T2^9 - 376*T1^8*T2^9 + 26*T1^9*T2^9 + 466*T1^10*T2^9 - 
     14*T1^11*T2^9 - 640*T1^12*T2^9 + 648*T1^4*T2^10 - 354*T1^5*T2^10 - 
     433*T1^6*T2^10 + 466*T1^7*T2^10 - 9*T1^8*T2^10 + 466*T1^9*T2^10 - 
     433*T1^10*T2^10 - 354*T1^11*T2^10 + 648*T1^12*T2^10 - 508*T1^5*T2^11 + 
     742*T1^6*T2^11 - 354*T1^7*T2^11 - 14*T1^8*T2^11 - 14*T1^9*T2^11 - 
     354*T1^10*T2^11 + 742*T1^11*T2^11 - 508*T1^12*T2^11 + 208*T1^6*T2^12 - 
     508*T1^7*T2^12 + 648*T1^8*T2^12 - 640*T1^9*T2^12 + 648*T1^10*T2^12 - 
     508*T1^11*T2^12 + 208*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 342] -> {(4 - 13*T + 19*T^2 - 13*T^3 + 4*T^4)/T^2, 
   (24 - 75*T1 + 110*T1^2 - 75*T1^3 + 24*T1^4 - 75*T2 + 154*T1*T2 - 
     106*T1^2*T2 - 106*T1^3*T2 + 154*T1^4*T2 - 75*T1^5*T2 + 110*T2^2 - 
     106*T1*T2^2 - 42*T1^2*T2^2 + 260*T1^3*T2^2 - 42*T1^4*T2^2 - 
     106*T1^5*T2^2 + 110*T1^6*T2^2 - 75*T2^3 - 106*T1*T2^3 + 260*T1^2*T2^3 - 
     264*T1^3*T2^3 - 264*T1^4*T2^3 + 260*T1^5*T2^3 - 106*T1^6*T2^3 - 
     75*T1^7*T2^3 + 24*T2^4 + 154*T1*T2^4 - 42*T1^2*T2^4 - 264*T1^3*T2^4 + 
     720*T1^4*T2^4 - 264*T1^5*T2^4 - 42*T1^6*T2^4 + 154*T1^7*T2^4 + 
     24*T1^8*T2^4 - 75*T1*T2^5 - 106*T1^2*T2^5 + 260*T1^3*T2^5 - 
     264*T1^4*T2^5 - 264*T1^5*T2^5 + 260*T1^6*T2^5 - 106*T1^7*T2^5 - 
     75*T1^8*T2^5 + 110*T1^2*T2^6 - 106*T1^3*T2^6 - 42*T1^4*T2^6 + 
     260*T1^5*T2^6 - 42*T1^6*T2^6 - 106*T1^7*T2^6 + 110*T1^8*T2^6 - 
     75*T1^3*T2^7 + 154*T1^4*T2^7 - 106*T1^5*T2^7 - 106*T1^6*T2^7 + 
     154*T1^7*T2^7 - 75*T1^8*T2^7 + 24*T1^4*T2^8 - 75*T1^5*T2^8 + 
     110*T1^6*T2^8 - 75*T1^7*T2^8 + 24*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 343] -> 
  {-((4 - 15*T + 21*T^2 - 15*T^3 + 4*T^4)/T^2), 
   -((88 - 317*T1 + 434*T1^2 - 317*T1^3 + 88*T1^4 - 317*T2 + 828*T1*T2 - 
      424*T1^2*T2 - 424*T1^3*T2 + 828*T1^4*T2 - 317*T1^5*T2 + 434*T2^2 - 
      424*T1*T2^2 - 1568*T1^2*T2^2 + 2570*T1^3*T2^2 - 1568*T1^4*T2^2 - 
      424*T1^5*T2^2 + 434*T1^6*T2^2 - 317*T2^3 - 424*T1*T2^3 + 
      2570*T1^2*T2^3 - 1326*T1^3*T2^3 - 1326*T1^4*T2^3 + 2570*T1^5*T2^3 - 
      424*T1^6*T2^3 - 317*T1^7*T2^3 + 88*T2^4 + 828*T1*T2^4 - 
      1568*T1^2*T2^4 - 1326*T1^3*T2^4 + 2736*T1^4*T2^4 - 1326*T1^5*T2^4 - 
      1568*T1^6*T2^4 + 828*T1^7*T2^4 + 88*T1^8*T2^4 - 317*T1*T2^5 - 
      424*T1^2*T2^5 + 2570*T1^3*T2^5 - 1326*T1^4*T2^5 - 1326*T1^5*T2^5 + 
      2570*T1^6*T2^5 - 424*T1^7*T2^5 - 317*T1^8*T2^5 + 434*T1^2*T2^6 - 
      424*T1^3*T2^6 - 1568*T1^4*T2^6 + 2570*T1^5*T2^6 - 1568*T1^6*T2^6 - 
      424*T1^7*T2^6 + 434*T1^8*T2^6 - 317*T1^3*T2^7 + 828*T1^4*T2^7 - 
      424*T1^5*T2^7 - 424*T1^6*T2^7 + 828*T1^7*T2^7 - 317*T1^8*T2^7 + 
      88*T1^4*T2^8 - 317*T1^5*T2^8 + 434*T1^6*T2^8 - 317*T1^7*T2^8 + 
      88*T1^8*T2^8)/(T1^4*T2^4))}, 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 + 24*T1*T2 - 48*T1^2*T2 + 40*T1^3*T2 - 16*T1^4*T2 - 
      16*T1^5*T2 + 40*T1^6*T2 - 48*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 
      20*T2^2 - 48*T1*T2^2 + 96*T1^2*T2^2 - 69*T1^3*T2^2 + 73*T1^4*T2^2 - 
      70*T1^5*T2^2 + 73*T1^6*T2^2 - 69*T1^7*T2^2 + 96*T1^8*T2^2 - 
      48*T1^9*T2^2 + 20*T1^10*T2^2 - 30*T2^3 + 40*T1*T2^3 - 69*T1^2*T2^3 - 
      48*T1^3*T2^3 - 7*T1^5*T2^3 - 7*T1^6*T2^3 - 48*T1^8*T2^3 - 
      69*T1^9*T2^3 + 40*T1^10*T2^3 - 30*T1^11*T2^3 + 34*T2^4 - 16*T1*T2^4 + 
      73*T1^2*T2^4 + 338*T1^4*T2^4 - 412*T1^5*T2^4 + 488*T1^6*T2^4 - 
      412*T1^7*T2^4 + 338*T1^8*T2^4 + 73*T1^10*T2^4 - 16*T1^11*T2^4 + 
      34*T1^12*T2^4 - 30*T2^5 - 16*T1*T2^5 - 70*T1^2*T2^5 - 7*T1^3*T2^5 - 
      412*T1^4*T2^5 + 178*T1^5*T2^5 - 113*T1^6*T2^5 - 113*T1^7*T2^5 + 
      178*T1^8*T2^5 - 412*T1^9*T2^5 - 7*T1^10*T2^5 - 70*T1^11*T2^5 - 
      16*T1^12*T2^5 - 30*T1^13*T2^5 + 20*T2^6 + 40*T1*T2^6 + 73*T1^2*T2^6 - 
      7*T1^3*T2^6 + 488*T1^4*T2^6 - 113*T1^5*T2^6 + 287*T1^6*T2^6 - 
      185*T1^7*T2^6 + 287*T1^8*T2^6 - 113*T1^9*T2^6 + 488*T1^10*T2^6 - 
      7*T1^11*T2^6 + 73*T1^12*T2^6 + 40*T1^13*T2^6 + 20*T1^14*T2^6 - 8*T2^7 - 
      48*T1*T2^7 - 69*T1^2*T2^7 - 412*T1^4*T2^7 - 113*T1^5*T2^7 - 
      185*T1^6*T2^7 - 36*T1^7*T2^7 - 36*T1^8*T2^7 - 185*T1^9*T2^7 - 
      113*T1^10*T2^7 - 412*T1^11*T2^7 - 69*T1^13*T2^7 - 48*T1^14*T2^7 - 
      8*T1^15*T2^7 + 2*T2^8 + 24*T1*T2^8 + 96*T1^2*T2^8 - 48*T1^3*T2^8 + 
      338*T1^4*T2^8 + 178*T1^5*T2^8 + 287*T1^6*T2^8 - 36*T1^7*T2^8 + 
      192*T1^8*T2^8 - 36*T1^9*T2^8 + 287*T1^10*T2^8 + 178*T1^11*T2^8 + 
      338*T1^12*T2^8 - 48*T1^13*T2^8 + 96*T1^14*T2^8 + 24*T1^15*T2^8 + 
      2*T1^16*T2^8 - 8*T1*T2^9 - 48*T1^2*T2^9 - 69*T1^3*T2^9 - 
      412*T1^5*T2^9 - 113*T1^6*T2^9 - 185*T1^7*T2^9 - 36*T1^8*T2^9 - 
      36*T1^9*T2^9 - 185*T1^10*T2^9 - 113*T1^11*T2^9 - 412*T1^12*T2^9 - 
      69*T1^14*T2^9 - 48*T1^15*T2^9 - 8*T1^16*T2^9 + 20*T1^2*T2^10 + 
      40*T1^3*T2^10 + 73*T1^4*T2^10 - 7*T1^5*T2^10 + 488*T1^6*T2^10 - 
      113*T1^7*T2^10 + 287*T1^8*T2^10 - 185*T1^9*T2^10 + 287*T1^10*T2^10 - 
      113*T1^11*T2^10 + 488*T1^12*T2^10 - 7*T1^13*T2^10 + 73*T1^14*T2^10 + 
      40*T1^15*T2^10 + 20*T1^16*T2^10 - 30*T1^3*T2^11 - 16*T1^4*T2^11 - 
      70*T1^5*T2^11 - 7*T1^6*T2^11 - 412*T1^7*T2^11 + 178*T1^8*T2^11 - 
      113*T1^9*T2^11 - 113*T1^10*T2^11 + 178*T1^11*T2^11 - 412*T1^12*T2^11 - 
      7*T1^13*T2^11 - 70*T1^14*T2^11 - 16*T1^15*T2^11 - 30*T1^16*T2^11 + 
      34*T1^4*T2^12 - 16*T1^5*T2^12 + 73*T1^6*T2^12 + 338*T1^8*T2^12 - 
      412*T1^9*T2^12 + 488*T1^10*T2^12 - 412*T1^11*T2^12 + 338*T1^12*T2^12 + 
      73*T1^14*T2^12 - 16*T1^15*T2^12 + 34*T1^16*T2^12 - 30*T1^5*T2^13 + 
      40*T1^6*T2^13 - 69*T1^7*T2^13 - 48*T1^8*T2^13 - 7*T1^10*T2^13 - 
      7*T1^11*T2^13 - 48*T1^13*T2^13 - 69*T1^14*T2^13 + 40*T1^15*T2^13 - 
      30*T1^16*T2^13 + 20*T1^6*T2^14 - 48*T1^7*T2^14 + 96*T1^8*T2^14 - 
      69*T1^9*T2^14 + 73*T1^10*T2^14 - 70*T1^11*T2^14 + 73*T1^12*T2^14 - 
      69*T1^13*T2^14 + 96*T1^14*T2^14 - 48*T1^15*T2^14 + 20*T1^16*T2^14 - 
      8*T1^7*T2^15 + 24*T1^8*T2^15 - 48*T1^9*T2^15 + 40*T1^10*T2^15 - 
      16*T1^11*T2^15 - 16*T1^12*T2^15 + 40*T1^13*T2^15 - 48*T1^14*T2^15 + 
      24*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)/(T1^8*T2^8))}, 
 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), 
   -((1 - 4*T1 + 8*T1^2 - 13*T1^3 + 15*T1^4 - 13*T1^5 + 8*T1^6 - 4*T1^7 + 
      T1^8 - 4*T2 + 12*T1*T2 - 16*T1^2*T2 + 20*T1^3*T2 - 8*T1^4*T2 - 
      8*T1^5*T2 + 20*T1^6*T2 - 16*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 8*T2^2 - 
      16*T1*T2^2 + 8*T1^2*T2^2 - 10*T1^3*T2^2 - 19*T1^4*T2^2 + 26*T1^5*T2^2 - 
      19*T1^6*T2^2 - 10*T1^7*T2^2 + 8*T1^8*T2^2 - 16*T1^9*T2^2 + 
      8*T1^10*T2^2 - 13*T2^3 + 20*T1*T2^3 - 10*T1^2*T2^3 + 44*T1^3*T2^3 - 
      2*T1^4*T2^3 + 9*T1^5*T2^3 + 9*T1^6*T2^3 - 2*T1^7*T2^3 + 44*T1^8*T2^3 - 
      10*T1^9*T2^3 + 20*T1^10*T2^3 - 13*T1^11*T2^3 + 15*T2^4 - 8*T1*T2^4 - 
      19*T1^2*T2^4 - 2*T1^3*T2^4 - 163*T1^4*T2^4 + 189*T1^5*T2^4 - 
      255*T1^6*T2^4 + 189*T1^7*T2^4 - 163*T1^8*T2^4 - 2*T1^9*T2^4 - 
      19*T1^10*T2^4 - 8*T1^11*T2^4 + 15*T1^12*T2^4 - 13*T2^5 - 8*T1*T2^5 + 
      26*T1^2*T2^5 + 9*T1^3*T2^5 + 189*T1^4*T2^5 - 56*T1^5*T2^5 + 
      76*T1^6*T2^5 + 76*T1^7*T2^5 - 56*T1^8*T2^5 + 189*T1^9*T2^5 + 
      9*T1^10*T2^5 + 26*T1^11*T2^5 - 8*T1^12*T2^5 - 13*T1^13*T2^5 + 8*T2^6 + 
      20*T1*T2^6 - 19*T1^2*T2^6 + 9*T1^3*T2^6 - 255*T1^4*T2^6 + 
      76*T1^5*T2^6 - 287*T1^6*T2^6 + 191*T1^7*T2^6 - 287*T1^8*T2^6 + 
      76*T1^9*T2^6 - 255*T1^10*T2^6 + 9*T1^11*T2^6 - 19*T1^12*T2^6 + 
      20*T1^13*T2^6 + 8*T1^14*T2^6 - 4*T2^7 - 16*T1*T2^7 - 10*T1^2*T2^7 - 
      2*T1^3*T2^7 + 189*T1^4*T2^7 + 76*T1^5*T2^7 + 191*T1^6*T2^7 + 
      38*T1^7*T2^7 + 38*T1^8*T2^7 + 191*T1^9*T2^7 + 76*T1^10*T2^7 + 
      189*T1^11*T2^7 - 2*T1^12*T2^7 - 10*T1^13*T2^7 - 16*T1^14*T2^7 - 
      4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 8*T1^2*T2^8 + 44*T1^3*T2^8 - 
      163*T1^4*T2^8 - 56*T1^5*T2^8 - 287*T1^6*T2^8 + 38*T1^7*T2^8 - 
      204*T1^8*T2^8 + 38*T1^9*T2^8 - 287*T1^10*T2^8 - 56*T1^11*T2^8 - 
      163*T1^12*T2^8 + 44*T1^13*T2^8 + 8*T1^14*T2^8 + 12*T1^15*T2^8 + 
      T1^16*T2^8 - 4*T1*T2^9 - 16*T1^2*T2^9 - 10*T1^3*T2^9 - 2*T1^4*T2^9 + 
      189*T1^5*T2^9 + 76*T1^6*T2^9 + 191*T1^7*T2^9 + 38*T1^8*T2^9 + 
      38*T1^9*T2^9 + 191*T1^10*T2^9 + 76*T1^11*T2^9 + 189*T1^12*T2^9 - 
      2*T1^13*T2^9 - 10*T1^14*T2^9 - 16*T1^15*T2^9 - 4*T1^16*T2^9 + 
      8*T1^2*T2^10 + 20*T1^3*T2^10 - 19*T1^4*T2^10 + 9*T1^5*T2^10 - 
      255*T1^6*T2^10 + 76*T1^7*T2^10 - 287*T1^8*T2^10 + 191*T1^9*T2^10 - 
      287*T1^10*T2^10 + 76*T1^11*T2^10 - 255*T1^12*T2^10 + 9*T1^13*T2^10 - 
      19*T1^14*T2^10 + 20*T1^15*T2^10 + 8*T1^16*T2^10 - 13*T1^3*T2^11 - 
      8*T1^4*T2^11 + 26*T1^5*T2^11 + 9*T1^6*T2^11 + 189*T1^7*T2^11 - 
      56*T1^8*T2^11 + 76*T1^9*T2^11 + 76*T1^10*T2^11 - 56*T1^11*T2^11 + 
      189*T1^12*T2^11 + 9*T1^13*T2^11 + 26*T1^14*T2^11 - 8*T1^15*T2^11 - 
      13*T1^16*T2^11 + 15*T1^4*T2^12 - 8*T1^5*T2^12 - 19*T1^6*T2^12 - 
      2*T1^7*T2^12 - 163*T1^8*T2^12 + 189*T1^9*T2^12 - 255*T1^10*T2^12 + 
      189*T1^11*T2^12 - 163*T1^12*T2^12 - 2*T1^13*T2^12 - 19*T1^14*T2^12 - 
      8*T1^15*T2^12 + 15*T1^16*T2^12 - 13*T1^5*T2^13 + 20*T1^6*T2^13 - 
      10*T1^7*T2^13 + 44*T1^8*T2^13 - 2*T1^9*T2^13 + 9*T1^10*T2^13 + 
      9*T1^11*T2^13 - 2*T1^12*T2^13 + 44*T1^13*T2^13 - 10*T1^14*T2^13 + 
      20*T1^15*T2^13 - 13*T1^16*T2^13 + 8*T1^6*T2^14 - 16*T1^7*T2^14 + 
      8*T1^8*T2^14 - 10*T1^9*T2^14 - 19*T1^10*T2^14 + 26*T1^11*T2^14 - 
      19*T1^12*T2^14 - 10*T1^13*T2^14 + 8*T1^14*T2^14 - 16*T1^15*T2^14 + 
      8*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 16*T1^9*T2^15 + 
      20*T1^10*T2^15 - 8*T1^11*T2^15 - 8*T1^12*T2^15 + 20*T1^13*T2^15 - 
      16*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 
      4*T1^9*T2^16 + 8*T1^10*T2^16 - 13*T1^11*T2^16 + 15*T1^12*T2^16 - 
      13*T1^13*T2^16 + 8*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, 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, 
   (2 - 4*T1 + 4*T1^2 - T1^3 - T1^4 + 4*T1^5 - 4*T1^6 + 2*T1^7 - 4*T2 + 
     3*T1*T2 + T1^2*T2 - 4*T1^3*T2 - T1^4*T2 - 4*T1^5*T2 + T1^6*T2 + 
     3*T1^7*T2 - 4*T1^8*T2 + 4*T2^2 + T1*T2^2 - 4*T1^2*T2^2 + 2*T1^3*T2^2 + 
     6*T1^4*T2^2 + 6*T1^5*T2^2 + 2*T1^6*T2^2 - 4*T1^7*T2^2 + T1^8*T2^2 + 
     4*T1^9*T2^2 - T2^3 - 4*T1*T2^3 + 2*T1^2*T2^3 + 10*T1^3*T2^3 - 
     21*T1^4*T2^3 + 14*T1^5*T2^3 - 21*T1^6*T2^3 + 10*T1^7*T2^3 + 
     2*T1^8*T2^3 - 4*T1^9*T2^3 - T1^10*T2^3 - T2^4 - T1*T2^4 + 6*T1^2*T2^4 - 
     21*T1^3*T2^4 + 16*T1^4*T2^4 - 6*T1^5*T2^4 - 6*T1^6*T2^4 + 16*T1^7*T2^4 - 
     21*T1^8*T2^4 + 6*T1^9*T2^4 - T1^10*T2^4 - T1^11*T2^4 + 4*T2^5 - 
     4*T1*T2^5 + 6*T1^2*T2^5 + 14*T1^3*T2^5 - 6*T1^4*T2^5 + 10*T1^5*T2^5 + 
     6*T1^6*T2^5 + 10*T1^7*T2^5 - 6*T1^8*T2^5 + 14*T1^9*T2^5 + 6*T1^10*T2^5 - 
     4*T1^11*T2^5 + 4*T1^12*T2^5 - 4*T2^6 + T1*T2^6 + 2*T1^2*T2^6 - 
     21*T1^3*T2^6 - 6*T1^4*T2^6 + 6*T1^5*T2^6 - 20*T1^6*T2^6 - 20*T1^7*T2^6 + 
     6*T1^8*T2^6 - 6*T1^9*T2^6 - 21*T1^10*T2^6 + 2*T1^11*T2^6 + T1^12*T2^6 - 
     4*T1^13*T2^6 + 2*T2^7 + 3*T1*T2^7 - 4*T1^2*T2^7 + 10*T1^3*T2^7 + 
     16*T1^4*T2^7 + 10*T1^5*T2^7 - 20*T1^6*T2^7 + 60*T1^7*T2^7 - 
     20*T1^8*T2^7 + 10*T1^9*T2^7 + 16*T1^10*T2^7 + 10*T1^11*T2^7 - 
     4*T1^12*T2^7 + 3*T1^13*T2^7 + 2*T1^14*T2^7 - 4*T1*T2^8 + T1^2*T2^8 + 
     2*T1^3*T2^8 - 21*T1^4*T2^8 - 6*T1^5*T2^8 + 6*T1^6*T2^8 - 20*T1^7*T2^8 - 
     20*T1^8*T2^8 + 6*T1^9*T2^8 - 6*T1^10*T2^8 - 21*T1^11*T2^8 + 
     2*T1^12*T2^8 + T1^13*T2^8 - 4*T1^14*T2^8 + 4*T1^2*T2^9 - 4*T1^3*T2^9 + 
     6*T1^4*T2^9 + 14*T1^5*T2^9 - 6*T1^6*T2^9 + 10*T1^7*T2^9 + 6*T1^8*T2^9 + 
     10*T1^9*T2^9 - 6*T1^10*T2^9 + 14*T1^11*T2^9 + 6*T1^12*T2^9 - 
     4*T1^13*T2^9 + 4*T1^14*T2^9 - T1^3*T2^10 - T1^4*T2^10 + 6*T1^5*T2^10 - 
     21*T1^6*T2^10 + 16*T1^7*T2^10 - 6*T1^8*T2^10 - 6*T1^9*T2^10 + 
     16*T1^10*T2^10 - 21*T1^11*T2^10 + 6*T1^12*T2^10 - T1^13*T2^10 - 
     T1^14*T2^10 - T1^4*T2^11 - 4*T1^5*T2^11 + 2*T1^6*T2^11 + 10*T1^7*T2^11 - 
     21*T1^8*T2^11 + 14*T1^9*T2^11 - 21*T1^10*T2^11 + 10*T1^11*T2^11 + 
     2*T1^12*T2^11 - 4*T1^13*T2^11 - T1^14*T2^11 + 4*T1^5*T2^12 + 
     T1^6*T2^12 - 4*T1^7*T2^12 + 2*T1^8*T2^12 + 6*T1^9*T2^12 + 
     6*T1^10*T2^12 + 2*T1^11*T2^12 - 4*T1^12*T2^12 + T1^13*T2^12 + 
     4*T1^14*T2^12 - 4*T1^6*T2^13 + 3*T1^7*T2^13 + T1^8*T2^13 - 
     4*T1^9*T2^13 - T1^10*T2^13 - 4*T1^11*T2^13 + T1^12*T2^13 + 
     3*T1^13*T2^13 - 4*T1^14*T2^13 + 2*T1^7*T2^14 - 4*T1^8*T2^14 + 
     4*T1^9*T2^14 - T1^10*T2^14 - T1^11*T2^14 + 4*T1^12*T2^14 - 
     4*T1^13*T2^14 + 2*T1^14*T2^14)/(T1^7*T2^7)}, 
 Knot[12, NonAlternating, 347] -> 
  {(1 - 3*T + 7*T^2 - 9*T^3 + 7*T^4 - 3*T^5 + T^6)/T^3, 
   -((1 - 3*T1 + 7*T1^2 - 9*T1^3 + 7*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 - 
      12*T1^2*T2 + 6*T1^3*T2 + 6*T1^4*T2 - 12*T1^5*T2 + 6*T1^6*T2 - 
      3*T1^7*T2 + 7*T2^2 - 12*T1*T2^2 + 45*T1^2*T2^2 - 57*T1^3*T2^2 + 
      65*T1^4*T2^2 - 57*T1^5*T2^2 + 45*T1^6*T2^2 - 12*T1^7*T2^2 + 
      7*T1^8*T2^2 - 9*T2^3 + 6*T1*T2^3 - 57*T1^2*T2^3 + 30*T1^3*T2^3 - 
      19*T1^4*T2^3 - 19*T1^5*T2^3 + 30*T1^6*T2^3 - 57*T1^7*T2^3 + 
      6*T1^8*T2^3 - 9*T1^9*T2^3 + 7*T2^4 + 6*T1*T2^4 + 65*T1^2*T2^4 - 
      19*T1^3*T2^4 + 94*T1^4*T2^4 - 94*T1^5*T2^4 + 94*T1^6*T2^4 - 
      19*T1^7*T2^4 + 65*T1^8*T2^4 + 6*T1^9*T2^4 + 7*T1^10*T2^4 - 3*T2^5 - 
      12*T1*T2^5 - 57*T1^2*T2^5 - 19*T1^3*T2^5 - 94*T1^4*T2^5 + 
      20*T1^5*T2^5 + 20*T1^6*T2^5 - 94*T1^7*T2^5 - 19*T1^8*T2^5 - 
      57*T1^9*T2^5 - 12*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 6*T1*T2^6 + 
      45*T1^2*T2^6 + 30*T1^3*T2^6 + 94*T1^4*T2^6 + 20*T1^5*T2^6 - 
      12*T1^6*T2^6 + 20*T1^7*T2^6 + 94*T1^8*T2^6 + 30*T1^9*T2^6 + 
      45*T1^10*T2^6 + 6*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 - 12*T1^2*T2^7 - 
      57*T1^3*T2^7 - 19*T1^4*T2^7 - 94*T1^5*T2^7 + 20*T1^6*T2^7 + 
      20*T1^7*T2^7 - 94*T1^8*T2^7 - 19*T1^9*T2^7 - 57*T1^10*T2^7 - 
      12*T1^11*T2^7 - 3*T1^12*T2^7 + 7*T1^2*T2^8 + 6*T1^3*T2^8 + 
      65*T1^4*T2^8 - 19*T1^5*T2^8 + 94*T1^6*T2^8 - 94*T1^7*T2^8 + 
      94*T1^8*T2^8 - 19*T1^9*T2^8 + 65*T1^10*T2^8 + 6*T1^11*T2^8 + 
      7*T1^12*T2^8 - 9*T1^3*T2^9 + 6*T1^4*T2^9 - 57*T1^5*T2^9 + 
      30*T1^6*T2^9 - 19*T1^7*T2^9 - 19*T1^8*T2^9 + 30*T1^9*T2^9 - 
      57*T1^10*T2^9 + 6*T1^11*T2^9 - 9*T1^12*T2^9 + 7*T1^4*T2^10 - 
      12*T1^5*T2^10 + 45*T1^6*T2^10 - 57*T1^7*T2^10 + 65*T1^8*T2^10 - 
      57*T1^9*T2^10 + 45*T1^10*T2^10 - 12*T1^11*T2^10 + 7*T1^12*T2^10 - 
      3*T1^5*T2^11 + 6*T1^6*T2^11 - 12*T1^7*T2^11 + 6*T1^8*T2^11 + 
      6*T1^9*T2^11 - 12*T1^10*T2^11 + 6*T1^11*T2^11 - 3*T1^12*T2^11 + 
      T1^6*T2^12 - 3*T1^7*T2^12 + 7*T1^8*T2^12 - 9*T1^9*T2^12 + 
      7*T1^10*T2^12 - 3*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 348] -> 
  {(1 - 7*T + 19*T^2 - 25*T^3 + 19*T^4 - 7*T^5 + T^6)/T^3, 
   -((1 - 7*T1 + 19*T1^2 - 25*T1^3 + 19*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      44*T1*T2 - 91*T1^2*T2 + 45*T1^3*T2 + 45*T1^4*T2 - 91*T1^5*T2 + 
      44*T1^6*T2 - 7*T1^7*T2 + 19*T2^2 - 91*T1*T2^2 + 47*T1^2*T2^2 + 
      374*T1^3*T2^2 - 575*T1^4*T2^2 + 374*T1^5*T2^2 + 47*T1^6*T2^2 - 
      91*T1^7*T2^2 + 19*T1^8*T2^2 - 25*T2^3 + 45*T1*T2^3 + 374*T1^2*T2^3 - 
      1212*T1^3*T2^3 + 594*T1^4*T2^3 + 594*T1^5*T2^3 - 1212*T1^6*T2^3 + 
      374*T1^7*T2^3 + 45*T1^8*T2^3 - 25*T1^9*T2^3 + 19*T2^4 + 45*T1*T2^4 - 
      575*T1^2*T2^4 + 594*T1^3*T2^4 + 2096*T1^4*T2^4 - 3342*T1^5*T2^4 + 
      2096*T1^6*T2^4 + 594*T1^7*T2^4 - 575*T1^8*T2^4 + 45*T1^9*T2^4 + 
      19*T1^10*T2^4 - 7*T2^5 - 91*T1*T2^5 + 374*T1^2*T2^5 + 594*T1^3*T2^5 - 
      3342*T1^4*T2^5 + 1678*T1^5*T2^5 + 1678*T1^6*T2^5 - 3342*T1^7*T2^5 + 
      594*T1^8*T2^5 + 374*T1^9*T2^5 - 91*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      44*T1*T2^6 + 47*T1^2*T2^6 - 1212*T1^3*T2^6 + 2096*T1^4*T2^6 + 
      1678*T1^5*T2^6 - 3480*T1^6*T2^6 + 1678*T1^7*T2^6 + 2096*T1^8*T2^6 - 
      1212*T1^9*T2^6 + 47*T1^10*T2^6 + 44*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 91*T1^2*T2^7 + 374*T1^3*T2^7 + 594*T1^4*T2^7 - 
      3342*T1^5*T2^7 + 1678*T1^6*T2^7 + 1678*T1^7*T2^7 - 3342*T1^8*T2^7 + 
      594*T1^9*T2^7 + 374*T1^10*T2^7 - 91*T1^11*T2^7 - 7*T1^12*T2^7 + 
      19*T1^2*T2^8 + 45*T1^3*T2^8 - 575*T1^4*T2^8 + 594*T1^5*T2^8 + 
      2096*T1^6*T2^8 - 3342*T1^7*T2^8 + 2096*T1^8*T2^8 + 594*T1^9*T2^8 - 
      575*T1^10*T2^8 + 45*T1^11*T2^8 + 19*T1^12*T2^8 - 25*T1^3*T2^9 + 
      45*T1^4*T2^9 + 374*T1^5*T2^9 - 1212*T1^6*T2^9 + 594*T1^7*T2^9 + 
      594*T1^8*T2^9 - 1212*T1^9*T2^9 + 374*T1^10*T2^9 + 45*T1^11*T2^9 - 
      25*T1^12*T2^9 + 19*T1^4*T2^10 - 91*T1^5*T2^10 + 47*T1^6*T2^10 + 
      374*T1^7*T2^10 - 575*T1^8*T2^10 + 374*T1^9*T2^10 + 47*T1^10*T2^10 - 
      91*T1^11*T2^10 + 19*T1^12*T2^10 - 7*T1^5*T2^11 + 44*T1^6*T2^11 - 
      91*T1^7*T2^11 + 45*T1^8*T2^11 + 45*T1^9*T2^11 - 91*T1^10*T2^11 + 
      44*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      19*T1^8*T2^12 - 25*T1^9*T2^12 + 19*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 349] -> 
  {-((1 - 4*T + 2*T^2 + T^3 + 2*T^4 - 4*T^5 + T^6)/T^3), 
   (2 - 8*T1 + 4*T1^2 + 2*T1^3 + 4*T1^4 - 8*T1^5 + 2*T1^6 - 8*T2 + 24*T1*T2 + 
     16*T1^2*T2 - 24*T1^3*T2 - 24*T1^4*T2 + 16*T1^5*T2 + 24*T1^6*T2 - 
     8*T1^7*T2 + 4*T2^2 + 16*T1*T2^2 - 110*T1^2*T2^2 + 41*T1^3*T2^2 + 
     60*T1^4*T2^2 + 41*T1^5*T2^2 - 110*T1^6*T2^2 + 16*T1^7*T2^2 + 
     4*T1^8*T2^2 + 2*T2^3 - 24*T1*T2^3 + 41*T1^2*T2^3 + 56*T1^3*T2^3 - 
     65*T1^4*T2^3 - 65*T1^5*T2^3 + 56*T1^6*T2^3 + 41*T1^7*T2^3 - 
     24*T1^8*T2^3 + 2*T1^9*T2^3 + 4*T2^4 - 24*T1*T2^4 + 60*T1^2*T2^4 - 
     65*T1^3*T2^4 + 45*T1^4*T2^4 - 19*T1^5*T2^4 + 45*T1^6*T2^4 - 
     65*T1^7*T2^4 + 60*T1^8*T2^4 - 24*T1^9*T2^4 + 4*T1^10*T2^4 - 8*T2^5 + 
     16*T1*T2^5 + 41*T1^2*T2^5 - 65*T1^3*T2^5 - 19*T1^4*T2^5 + 30*T1^5*T2^5 + 
     30*T1^6*T2^5 - 19*T1^7*T2^5 - 65*T1^8*T2^5 + 41*T1^9*T2^5 + 
     16*T1^10*T2^5 - 8*T1^11*T2^5 + 2*T2^6 + 24*T1*T2^6 - 110*T1^2*T2^6 + 
     56*T1^3*T2^6 + 45*T1^4*T2^6 + 30*T1^5*T2^6 - 108*T1^6*T2^6 + 
     30*T1^7*T2^6 + 45*T1^8*T2^6 + 56*T1^9*T2^6 - 110*T1^10*T2^6 + 
     24*T1^11*T2^6 + 2*T1^12*T2^6 - 8*T1*T2^7 + 16*T1^2*T2^7 + 41*T1^3*T2^7 - 
     65*T1^4*T2^7 - 19*T1^5*T2^7 + 30*T1^6*T2^7 + 30*T1^7*T2^7 - 
     19*T1^8*T2^7 - 65*T1^9*T2^7 + 41*T1^10*T2^7 + 16*T1^11*T2^7 - 
     8*T1^12*T2^7 + 4*T1^2*T2^8 - 24*T1^3*T2^8 + 60*T1^4*T2^8 - 
     65*T1^5*T2^8 + 45*T1^6*T2^8 - 19*T1^7*T2^8 + 45*T1^8*T2^8 - 
     65*T1^9*T2^8 + 60*T1^10*T2^8 - 24*T1^11*T2^8 + 4*T1^12*T2^8 + 
     2*T1^3*T2^9 - 24*T1^4*T2^9 + 41*T1^5*T2^9 + 56*T1^6*T2^9 - 
     65*T1^7*T2^9 - 65*T1^8*T2^9 + 56*T1^9*T2^9 + 41*T1^10*T2^9 - 
     24*T1^11*T2^9 + 2*T1^12*T2^9 + 4*T1^4*T2^10 + 16*T1^5*T2^10 - 
     110*T1^6*T2^10 + 41*T1^7*T2^10 + 60*T1^8*T2^10 + 41*T1^9*T2^10 - 
     110*T1^10*T2^10 + 16*T1^11*T2^10 + 4*T1^12*T2^10 - 8*T1^5*T2^11 + 
     24*T1^6*T2^11 + 16*T1^7*T2^11 - 24*T1^8*T2^11 - 24*T1^9*T2^11 + 
     16*T1^10*T2^11 + 24*T1^11*T2^11 - 8*T1^12*T2^11 + 2*T1^6*T2^12 - 
     8*T1^7*T2^12 + 4*T1^8*T2^12 + 2*T1^9*T2^12 + 4*T1^10*T2^12 - 
     8*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 350] -> 
  {(1 - 8*T + 25*T^2 - 35*T^3 + 25*T^4 - 8*T^5 + T^6)/T^3, 
   -((1 - 8*T1 + 25*T1^2 - 35*T1^3 + 25*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
      58*T1*T2 - 145*T1^2*T2 + 85*T1^3*T2 + 85*T1^4*T2 - 145*T1^5*T2 + 
      58*T1^6*T2 - 8*T1^7*T2 + 25*T2^2 - 145*T1*T2^2 + 169*T1^2*T2^2 + 
      553*T1^3*T2^2 - 1049*T1^4*T2^2 + 553*T1^5*T2^2 + 169*T1^6*T2^2 - 
      145*T1^7*T2^2 + 25*T1^8*T2^2 - 35*T2^3 + 85*T1*T2^3 + 553*T1^2*T2^3 - 
      2458*T1^3*T2^3 + 1532*T1^4*T2^3 + 1532*T1^5*T2^3 - 2458*T1^6*T2^3 + 
      553*T1^7*T2^3 + 85*T1^8*T2^3 - 35*T1^9*T2^3 + 25*T2^4 + 85*T1*T2^4 - 
      1049*T1^2*T2^4 + 1532*T1^3*T2^4 + 4816*T1^4*T2^4 - 9158*T1^5*T2^4 + 
      4816*T1^6*T2^4 + 1532*T1^7*T2^4 - 1049*T1^8*T2^4 + 85*T1^9*T2^4 + 
      25*T1^10*T2^4 - 8*T2^5 - 145*T1*T2^5 + 553*T1^2*T2^5 + 1532*T1^3*T2^5 - 
      9158*T1^4*T2^5 + 5808*T1^5*T2^5 + 5808*T1^6*T2^5 - 9158*T1^7*T2^5 + 
      1532*T1^8*T2^5 + 553*T1^9*T2^5 - 145*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
      58*T1*T2^6 + 169*T1^2*T2^6 - 2458*T1^3*T2^6 + 4816*T1^4*T2^6 + 
      5808*T1^5*T2^6 - 13416*T1^6*T2^6 + 5808*T1^7*T2^6 + 4816*T1^8*T2^6 - 
      2458*T1^9*T2^6 + 169*T1^10*T2^6 + 58*T1^11*T2^6 + T1^12*T2^6 - 
      8*T1*T2^7 - 145*T1^2*T2^7 + 553*T1^3*T2^7 + 1532*T1^4*T2^7 - 
      9158*T1^5*T2^7 + 5808*T1^6*T2^7 + 5808*T1^7*T2^7 - 9158*T1^8*T2^7 + 
      1532*T1^9*T2^7 + 553*T1^10*T2^7 - 145*T1^11*T2^7 - 8*T1^12*T2^7 + 
      25*T1^2*T2^8 + 85*T1^3*T2^8 - 1049*T1^4*T2^8 + 1532*T1^5*T2^8 + 
      4816*T1^6*T2^8 - 9158*T1^7*T2^8 + 4816*T1^8*T2^8 + 1532*T1^9*T2^8 - 
      1049*T1^10*T2^8 + 85*T1^11*T2^8 + 25*T1^12*T2^8 - 35*T1^3*T2^9 + 
      85*T1^4*T2^9 + 553*T1^5*T2^9 - 2458*T1^6*T2^9 + 1532*T1^7*T2^9 + 
      1532*T1^8*T2^9 - 2458*T1^9*T2^9 + 553*T1^10*T2^9 + 85*T1^11*T2^9 - 
      35*T1^12*T2^9 + 25*T1^4*T2^10 - 145*T1^5*T2^10 + 169*T1^6*T2^10 + 
      553*T1^7*T2^10 - 1049*T1^8*T2^10 + 553*T1^9*T2^10 + 169*T1^10*T2^10 - 
      145*T1^11*T2^10 + 25*T1^12*T2^10 - 8*T1^5*T2^11 + 58*T1^6*T2^11 - 
      145*T1^7*T2^11 + 85*T1^8*T2^11 + 85*T1^9*T2^11 - 145*T1^10*T2^11 + 
      58*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
      25*T1^8*T2^12 - 35*T1^9*T2^12 + 25*T1^10*T2^12 - 8*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 351] -> 
  {(1 - 5*T + 7*T^2 - 5*T^3 + 7*T^4 - 5*T^5 + T^6)/T^3, 
   (1 - 5*T1 + 7*T1^2 - 5*T1^3 + 7*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 20*T1*T2 - 
     12*T1^2*T2 - 7*T1^3*T2 - 7*T1^4*T2 - 12*T1^5*T2 + 20*T1^6*T2 - 
     5*T1^7*T2 + 7*T2^2 - 12*T1*T2^2 - 50*T1^2*T2^2 + 76*T1^3*T2^2 - 
     18*T1^4*T2^2 + 76*T1^5*T2^2 - 50*T1^6*T2^2 - 12*T1^7*T2^2 + 
     7*T1^8*T2^2 - 5*T2^3 - 7*T1*T2^3 + 76*T1^2*T2^3 - 32*T1^3*T2^3 - 
     46*T1^4*T2^3 - 46*T1^5*T2^3 - 32*T1^6*T2^3 + 76*T1^7*T2^3 - 
     7*T1^8*T2^3 - 5*T1^9*T2^3 + 7*T2^4 - 7*T1*T2^4 - 18*T1^2*T2^4 - 
     46*T1^3*T2^4 + 92*T1^4*T2^4 - 72*T1^5*T2^4 + 92*T1^6*T2^4 - 
     46*T1^7*T2^4 - 18*T1^8*T2^4 - 7*T1^9*T2^4 + 7*T1^10*T2^4 - 5*T2^5 - 
     12*T1*T2^5 + 76*T1^2*T2^5 - 46*T1^3*T2^5 - 72*T1^4*T2^5 + 
     108*T1^5*T2^5 + 108*T1^6*T2^5 - 72*T1^7*T2^5 - 46*T1^8*T2^5 + 
     76*T1^9*T2^5 - 12*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 20*T1*T2^6 - 
     50*T1^2*T2^6 - 32*T1^3*T2^6 + 92*T1^4*T2^6 + 108*T1^5*T2^6 - 
     420*T1^6*T2^6 + 108*T1^7*T2^6 + 92*T1^8*T2^6 - 32*T1^9*T2^6 - 
     50*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 12*T1^2*T2^7 + 
     76*T1^3*T2^7 - 46*T1^4*T2^7 - 72*T1^5*T2^7 + 108*T1^6*T2^7 + 
     108*T1^7*T2^7 - 72*T1^8*T2^7 - 46*T1^9*T2^7 + 76*T1^10*T2^7 - 
     12*T1^11*T2^7 - 5*T1^12*T2^7 + 7*T1^2*T2^8 - 7*T1^3*T2^8 - 
     18*T1^4*T2^8 - 46*T1^5*T2^8 + 92*T1^6*T2^8 - 72*T1^7*T2^8 + 
     92*T1^8*T2^8 - 46*T1^9*T2^8 - 18*T1^10*T2^8 - 7*T1^11*T2^8 + 
     7*T1^12*T2^8 - 5*T1^3*T2^9 - 7*T1^4*T2^9 + 76*T1^5*T2^9 - 32*T1^6*T2^9 - 
     46*T1^7*T2^9 - 46*T1^8*T2^9 - 32*T1^9*T2^9 + 76*T1^10*T2^9 - 
     7*T1^11*T2^9 - 5*T1^12*T2^9 + 7*T1^4*T2^10 - 12*T1^5*T2^10 - 
     50*T1^6*T2^10 + 76*T1^7*T2^10 - 18*T1^8*T2^10 + 76*T1^9*T2^10 - 
     50*T1^10*T2^10 - 12*T1^11*T2^10 + 7*T1^12*T2^10 - 5*T1^5*T2^11 + 
     20*T1^6*T2^11 - 12*T1^7*T2^11 - 7*T1^8*T2^11 - 7*T1^9*T2^11 - 
     12*T1^10*T2^11 + 20*T1^11*T2^11 - 5*T1^12*T2^11 + T1^6*T2^12 - 
     5*T1^7*T2^12 + 7*T1^8*T2^12 - 5*T1^9*T2^12 + 7*T1^10*T2^12 - 
     5*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 352] -> 
  {(1 - 3*T + T^2 + 3*T^3 + T^4 - 3*T^5 + T^6)/T^3, 
   (1 - 3*T1 + T1^2 + 3*T1^3 + T1^4 - 3*T1^5 + T1^6 - 3*T2 + 4*T1*T2 + 
     13*T1^2*T2 - 18*T1^3*T2 - 18*T1^4*T2 + 13*T1^5*T2 + 4*T1^6*T2 - 
     3*T1^7*T2 + T2^2 + 13*T1*T2^2 - 41*T1^2*T2^2 + 2*T1^3*T2^2 + 
     73*T1^4*T2^2 + 2*T1^5*T2^2 - 41*T1^6*T2^2 + 13*T1^7*T2^2 + T1^8*T2^2 + 
     3*T2^3 - 18*T1*T2^3 + 2*T1^2*T2^3 + 86*T1^3*T2^3 - 87*T1^4*T2^3 - 
     87*T1^5*T2^3 + 86*T1^6*T2^3 + 2*T1^7*T2^3 - 18*T1^8*T2^3 + 3*T1^9*T2^3 + 
     T2^4 - 18*T1*T2^4 + 73*T1^2*T2^4 - 87*T1^3*T2^4 - 55*T1^4*T2^4 + 
     169*T1^5*T2^4 - 55*T1^6*T2^4 - 87*T1^7*T2^4 + 73*T1^8*T2^4 - 
     18*T1^9*T2^4 + T1^10*T2^4 - 3*T2^5 + 13*T1*T2^5 + 2*T1^2*T2^5 - 
     87*T1^3*T2^5 + 169*T1^4*T2^5 - 62*T1^5*T2^5 - 62*T1^6*T2^5 + 
     169*T1^7*T2^5 - 87*T1^8*T2^5 + 2*T1^9*T2^5 + 13*T1^10*T2^5 - 
     3*T1^11*T2^5 + T2^6 + 4*T1*T2^6 - 41*T1^2*T2^6 + 86*T1^3*T2^6 - 
     55*T1^4*T2^6 - 62*T1^5*T2^6 + 36*T1^6*T2^6 - 62*T1^7*T2^6 - 
     55*T1^8*T2^6 + 86*T1^9*T2^6 - 41*T1^10*T2^6 + 4*T1^11*T2^6 + 
     T1^12*T2^6 - 3*T1*T2^7 + 13*T1^2*T2^7 + 2*T1^3*T2^7 - 87*T1^4*T2^7 + 
     169*T1^5*T2^7 - 62*T1^6*T2^7 - 62*T1^7*T2^7 + 169*T1^8*T2^7 - 
     87*T1^9*T2^7 + 2*T1^10*T2^7 + 13*T1^11*T2^7 - 3*T1^12*T2^7 + T1^2*T2^8 - 
     18*T1^3*T2^8 + 73*T1^4*T2^8 - 87*T1^5*T2^8 - 55*T1^6*T2^8 + 
     169*T1^7*T2^8 - 55*T1^8*T2^8 - 87*T1^9*T2^8 + 73*T1^10*T2^8 - 
     18*T1^11*T2^8 + T1^12*T2^8 + 3*T1^3*T2^9 - 18*T1^4*T2^9 + 2*T1^5*T2^9 + 
     86*T1^6*T2^9 - 87*T1^7*T2^9 - 87*T1^8*T2^9 + 86*T1^9*T2^9 + 
     2*T1^10*T2^9 - 18*T1^11*T2^9 + 3*T1^12*T2^9 + T1^4*T2^10 + 
     13*T1^5*T2^10 - 41*T1^6*T2^10 + 2*T1^7*T2^10 + 73*T1^8*T2^10 + 
     2*T1^9*T2^10 - 41*T1^10*T2^10 + 13*T1^11*T2^10 + T1^12*T2^10 - 
     3*T1^5*T2^11 + 4*T1^6*T2^11 + 13*T1^7*T2^11 - 18*T1^8*T2^11 - 
     18*T1^9*T2^11 + 13*T1^10*T2^11 + 4*T1^11*T2^11 - 3*T1^12*T2^11 + 
     T1^6*T2^12 - 3*T1^7*T2^12 + T1^8*T2^12 + 3*T1^9*T2^12 + T1^10*T2^12 - 
     3*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 353] -> 
  {(1 - 9*T + 25*T^2 - 33*T^3 + 25*T^4 - 9*T^5 + T^6)/T^3, 
   -((1 - 9*T1 + 25*T1^2 - 33*T1^3 + 25*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
      74*T1*T2 - 145*T1^2*T2 + 69*T1^3*T2 + 69*T1^4*T2 - 145*T1^5*T2 + 
      74*T1^6*T2 - 9*T1^7*T2 + 25*T2^2 - 145*T1*T2^2 - 132*T1^2*T2^2 + 
      1110*T1^3*T2^2 - 1546*T1^4*T2^2 + 1110*T1^5*T2^2 - 132*T1^6*T2^2 - 
      145*T1^7*T2^2 + 25*T1^8*T2^2 - 33*T2^3 + 69*T1*T2^3 + 1110*T1^2*T2^3 - 
      2758*T1^3*T2^3 + 1276*T1^4*T2^3 + 1276*T1^5*T2^3 - 2758*T1^6*T2^3 + 
      1110*T1^7*T2^3 + 69*T1^8*T2^3 - 33*T1^9*T2^3 + 25*T2^4 + 69*T1*T2^4 - 
      1546*T1^2*T2^4 + 1276*T1^3*T2^4 + 4261*T1^4*T2^4 - 6561*T1^5*T2^4 + 
      4261*T1^6*T2^4 + 1276*T1^7*T2^4 - 1546*T1^8*T2^4 + 69*T1^9*T2^4 + 
      25*T1^10*T2^4 - 9*T2^5 - 145*T1*T2^5 + 1110*T1^2*T2^5 + 
      1276*T1^3*T2^5 - 6561*T1^4*T2^5 + 3028*T1^5*T2^5 + 3028*T1^6*T2^5 - 
      6561*T1^7*T2^5 + 1276*T1^8*T2^5 + 1110*T1^9*T2^5 - 145*T1^10*T2^5 - 
      9*T1^11*T2^5 + T2^6 + 74*T1*T2^6 - 132*T1^2*T2^6 - 2758*T1^3*T2^6 + 
      4261*T1^4*T2^6 + 3028*T1^5*T2^6 - 5916*T1^6*T2^6 + 3028*T1^7*T2^6 + 
      4261*T1^8*T2^6 - 2758*T1^9*T2^6 - 132*T1^10*T2^6 + 74*T1^11*T2^6 + 
      T1^12*T2^6 - 9*T1*T2^7 - 145*T1^2*T2^7 + 1110*T1^3*T2^7 + 
      1276*T1^4*T2^7 - 6561*T1^5*T2^7 + 3028*T1^6*T2^7 + 3028*T1^7*T2^7 - 
      6561*T1^8*T2^7 + 1276*T1^9*T2^7 + 1110*T1^10*T2^7 - 145*T1^11*T2^7 - 
      9*T1^12*T2^7 + 25*T1^2*T2^8 + 69*T1^3*T2^8 - 1546*T1^4*T2^8 + 
      1276*T1^5*T2^8 + 4261*T1^6*T2^8 - 6561*T1^7*T2^8 + 4261*T1^8*T2^8 + 
      1276*T1^9*T2^8 - 1546*T1^10*T2^8 + 69*T1^11*T2^8 + 25*T1^12*T2^8 - 
      33*T1^3*T2^9 + 69*T1^4*T2^9 + 1110*T1^5*T2^9 - 2758*T1^6*T2^9 + 
      1276*T1^7*T2^9 + 1276*T1^8*T2^9 - 2758*T1^9*T2^9 + 1110*T1^10*T2^9 + 
      69*T1^11*T2^9 - 33*T1^12*T2^9 + 25*T1^4*T2^10 - 145*T1^5*T2^10 - 
      132*T1^6*T2^10 + 1110*T1^7*T2^10 - 1546*T1^8*T2^10 + 1110*T1^9*T2^10 - 
      132*T1^10*T2^10 - 145*T1^11*T2^10 + 25*T1^12*T2^10 - 9*T1^5*T2^11 + 
      74*T1^6*T2^11 - 145*T1^7*T2^11 + 69*T1^8*T2^11 + 69*T1^9*T2^11 - 
      145*T1^10*T2^11 + 74*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 
      9*T1^7*T2^12 + 25*T1^8*T2^12 - 33*T1^9*T2^12 + 25*T1^10*T2^12 - 
      9*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 354] -> 
  {(1 - 4*T + 5*T^2 - 3*T^3 + 5*T^4 - 4*T^5 + T^6)/T^3, 
   -((1 - 4*T1 + 5*T1^2 - 3*T1^3 + 5*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 12*T1*T2 - 
      4*T1^2*T2 - 8*T1^3*T2 - 8*T1^4*T2 - 4*T1^5*T2 + 12*T1^6*T2 - 
      4*T1^7*T2 + 5*T2^2 - 4*T1*T2^2 - 33*T1^2*T2^2 + 40*T1^3*T2^2 + 
      9*T1^4*T2^2 + 40*T1^5*T2^2 - 33*T1^6*T2^2 - 4*T1^7*T2^2 + 5*T1^8*T2^2 - 
      3*T2^3 - 8*T1*T2^3 + 40*T1^2*T2^3 - 44*T1^4*T2^3 - 44*T1^5*T2^3 + 
      40*T1^7*T2^3 - 8*T1^8*T2^3 - 3*T1^9*T2^3 + 5*T2^4 - 8*T1*T2^4 + 
      9*T1^2*T2^4 - 44*T1^3*T2^4 + 44*T1^4*T2^4 - 26*T1^5*T2^4 + 
      44*T1^6*T2^4 - 44*T1^7*T2^4 + 9*T1^8*T2^4 - 8*T1^9*T2^4 + 
      5*T1^10*T2^4 - 4*T2^5 - 4*T1*T2^5 + 40*T1^2*T2^5 - 44*T1^3*T2^5 - 
      26*T1^4*T2^5 + 80*T1^5*T2^5 + 80*T1^6*T2^5 - 26*T1^7*T2^5 - 
      44*T1^8*T2^5 + 40*T1^9*T2^5 - 4*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 
      12*T1*T2^6 - 33*T1^2*T2^6 + 44*T1^4*T2^6 + 80*T1^5*T2^6 - 
      324*T1^6*T2^6 + 80*T1^7*T2^6 + 44*T1^8*T2^6 - 33*T1^10*T2^6 + 
      12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 4*T1^2*T2^7 + 40*T1^3*T2^7 - 
      44*T1^4*T2^7 - 26*T1^5*T2^7 + 80*T1^6*T2^7 + 80*T1^7*T2^7 - 
      26*T1^8*T2^7 - 44*T1^9*T2^7 + 40*T1^10*T2^7 - 4*T1^11*T2^7 - 
      4*T1^12*T2^7 + 5*T1^2*T2^8 - 8*T1^3*T2^8 + 9*T1^4*T2^8 - 44*T1^5*T2^8 + 
      44*T1^6*T2^8 - 26*T1^7*T2^8 + 44*T1^8*T2^8 - 44*T1^9*T2^8 + 
      9*T1^10*T2^8 - 8*T1^11*T2^8 + 5*T1^12*T2^8 - 3*T1^3*T2^9 - 
      8*T1^4*T2^9 + 40*T1^5*T2^9 - 44*T1^7*T2^9 - 44*T1^8*T2^9 + 
      40*T1^10*T2^9 - 8*T1^11*T2^9 - 3*T1^12*T2^9 + 5*T1^4*T2^10 - 
      4*T1^5*T2^10 - 33*T1^6*T2^10 + 40*T1^7*T2^10 + 9*T1^8*T2^10 + 
      40*T1^9*T2^10 - 33*T1^10*T2^10 - 4*T1^11*T2^10 + 5*T1^12*T2^10 - 
      4*T1^5*T2^11 + 12*T1^6*T2^11 - 4*T1^7*T2^11 - 8*T1^8*T2^11 - 
      8*T1^9*T2^11 - 4*T1^10*T2^11 + 12*T1^11*T2^11 - 4*T1^12*T2^11 + 
      T1^6*T2^12 - 4*T1^7*T2^12 + 5*T1^8*T2^12 - 3*T1^9*T2^12 + 
      5*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 355] -> 
  {(1 - 3*T + 2*T^2 + T^3 + 2*T^4 - 3*T^5 + T^6)/T^3, 
   -((1 - 3*T1 + 2*T1^2 + T1^3 + 2*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 + 
      3*T1^2*T2 - 9*T1^3*T2 - 9*T1^4*T2 + 3*T1^5*T2 + 6*T1^6*T2 - 3*T1^7*T2 + 
      2*T2^2 + 3*T1*T2^2 - 20*T1^2*T2^2 + 10*T1^3*T2^2 + 22*T1^4*T2^2 + 
      10*T1^5*T2^2 - 20*T1^6*T2^2 + 3*T1^7*T2^2 + 2*T1^8*T2^2 + T2^3 - 
      9*T1*T2^3 + 10*T1^2*T2^3 + 22*T1^3*T2^3 - 23*T1^4*T2^3 - 23*T1^5*T2^3 + 
      22*T1^6*T2^3 + 10*T1^7*T2^3 - 9*T1^8*T2^3 + T1^9*T2^3 + 2*T2^4 - 
      9*T1*T2^4 + 22*T1^2*T2^4 - 23*T1^3*T2^4 - 10*T1^4*T2^4 + 4*T1^5*T2^4 - 
      10*T1^6*T2^4 - 23*T1^7*T2^4 + 22*T1^8*T2^4 - 9*T1^9*T2^4 + 
      2*T1^10*T2^4 - 3*T2^5 + 3*T1*T2^5 + 10*T1^2*T2^5 - 23*T1^3*T2^5 + 
      4*T1^4*T2^5 + 22*T1^5*T2^5 + 22*T1^6*T2^5 + 4*T1^7*T2^5 - 
      23*T1^8*T2^5 + 10*T1^9*T2^5 + 3*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 
      6*T1*T2^6 - 20*T1^2*T2^6 + 22*T1^3*T2^6 - 10*T1^4*T2^6 + 22*T1^5*T2^6 - 
      48*T1^6*T2^6 + 22*T1^7*T2^6 - 10*T1^8*T2^6 + 22*T1^9*T2^6 - 
      20*T1^10*T2^6 + 6*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 + 3*T1^2*T2^7 + 
      10*T1^3*T2^7 - 23*T1^4*T2^7 + 4*T1^5*T2^7 + 22*T1^6*T2^7 + 
      22*T1^7*T2^7 + 4*T1^8*T2^7 - 23*T1^9*T2^7 + 10*T1^10*T2^7 + 
      3*T1^11*T2^7 - 3*T1^12*T2^7 + 2*T1^2*T2^8 - 9*T1^3*T2^8 + 
      22*T1^4*T2^8 - 23*T1^5*T2^8 - 10*T1^6*T2^8 + 4*T1^7*T2^8 - 
      10*T1^8*T2^8 - 23*T1^9*T2^8 + 22*T1^10*T2^8 - 9*T1^11*T2^8 + 
      2*T1^12*T2^8 + T1^3*T2^9 - 9*T1^4*T2^9 + 10*T1^5*T2^9 + 22*T1^6*T2^9 - 
      23*T1^7*T2^9 - 23*T1^8*T2^9 + 22*T1^9*T2^9 + 10*T1^10*T2^9 - 
      9*T1^11*T2^9 + T1^12*T2^9 + 2*T1^4*T2^10 + 3*T1^5*T2^10 - 
      20*T1^6*T2^10 + 10*T1^7*T2^10 + 22*T1^8*T2^10 + 10*T1^9*T2^10 - 
      20*T1^10*T2^10 + 3*T1^11*T2^10 + 2*T1^12*T2^10 - 3*T1^5*T2^11 + 
      6*T1^6*T2^11 + 3*T1^7*T2^11 - 9*T1^8*T2^11 - 9*T1^9*T2^11 + 
      3*T1^10*T2^11 + 6*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)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 356] -> 
  {-((1 - 5*T + 14*T^2 - 21*T^3 + 14*T^4 - 5*T^5 + T^6)/T^3), 0}, 
 Knot[12, NonAlternating, 357] -> 
  {((1 - T + T^2)*(1 - 8*T + 15*T^2 - 8*T^3 + T^4))/T^3, 
   (1 - 9*T1 + 24*T1^2 - 31*T1^3 + 24*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
     72*T1*T2 - 135*T1^2*T2 + 63*T1^3*T2 + 63*T1^4*T2 - 135*T1^5*T2 + 
     72*T1^6*T2 - 9*T1^7*T2 + 24*T2^2 - 135*T1*T2^2 - 111*T1^2*T2^2 + 
     912*T1^3*T2^2 - 1257*T1^4*T2^2 + 912*T1^5*T2^2 - 111*T1^6*T2^2 - 
     135*T1^7*T2^2 + 24*T1^8*T2^2 - 31*T2^3 + 63*T1*T2^3 + 912*T1^2*T2^3 - 
     2130*T1^3*T2^3 + 973*T1^4*T2^3 + 973*T1^5*T2^3 - 2130*T1^6*T2^3 + 
     912*T1^7*T2^3 + 63*T1^8*T2^3 - 31*T1^9*T2^3 + 24*T2^4 + 63*T1*T2^4 - 
     1257*T1^2*T2^4 + 973*T1^3*T2^4 + 3033*T1^4*T2^4 - 4785*T1^5*T2^4 + 
     3033*T1^6*T2^4 + 973*T1^7*T2^4 - 1257*T1^8*T2^4 + 63*T1^9*T2^4 + 
     24*T1^10*T2^4 - 9*T2^5 - 135*T1*T2^5 + 912*T1^2*T2^5 + 973*T1^3*T2^5 - 
     4785*T1^4*T2^5 + 2408*T1^5*T2^5 + 2408*T1^6*T2^5 - 4785*T1^7*T2^5 + 
     973*T1^8*T2^5 + 912*T1^9*T2^5 - 135*T1^10*T2^5 - 9*T1^11*T2^5 + T2^6 + 
     72*T1*T2^6 - 111*T1^2*T2^6 - 2130*T1^3*T2^6 + 3033*T1^4*T2^6 + 
     2408*T1^5*T2^6 - 5136*T1^6*T2^6 + 2408*T1^7*T2^6 + 3033*T1^8*T2^6 - 
     2130*T1^9*T2^6 - 111*T1^10*T2^6 + 72*T1^11*T2^6 + T1^12*T2^6 - 
     9*T1*T2^7 - 135*T1^2*T2^7 + 912*T1^3*T2^7 + 973*T1^4*T2^7 - 
     4785*T1^5*T2^7 + 2408*T1^6*T2^7 + 2408*T1^7*T2^7 - 4785*T1^8*T2^7 + 
     973*T1^9*T2^7 + 912*T1^10*T2^7 - 135*T1^11*T2^7 - 9*T1^12*T2^7 + 
     24*T1^2*T2^8 + 63*T1^3*T2^8 - 1257*T1^4*T2^8 + 973*T1^5*T2^8 + 
     3033*T1^6*T2^8 - 4785*T1^7*T2^8 + 3033*T1^8*T2^8 + 973*T1^9*T2^8 - 
     1257*T1^10*T2^8 + 63*T1^11*T2^8 + 24*T1^12*T2^8 - 31*T1^3*T2^9 + 
     63*T1^4*T2^9 + 912*T1^5*T2^9 - 2130*T1^6*T2^9 + 973*T1^7*T2^9 + 
     973*T1^8*T2^9 - 2130*T1^9*T2^9 + 912*T1^10*T2^9 + 63*T1^11*T2^9 - 
     31*T1^12*T2^9 + 24*T1^4*T2^10 - 135*T1^5*T2^10 - 111*T1^6*T2^10 + 
     912*T1^7*T2^10 - 1257*T1^8*T2^10 + 912*T1^9*T2^10 - 111*T1^10*T2^10 - 
     135*T1^11*T2^10 + 24*T1^12*T2^10 - 9*T1^5*T2^11 + 72*T1^6*T2^11 - 
     135*T1^7*T2^11 + 63*T1^8*T2^11 + 63*T1^9*T2^11 - 135*T1^10*T2^11 + 
     72*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 
     24*T1^8*T2^12 - 31*T1^9*T2^12 + 24*T1^10*T2^12 - 9*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 358] -> 
  {-((3 - 11*T + 15*T^2 - 11*T^3 + 3*T^4)/T^2), 
   (30 - 105*T1 + 140*T1^2 - 105*T1^3 + 30*T1^4 - 105*T2 + 262*T1*T2 - 
     122*T1^2*T2 - 122*T1^3*T2 + 262*T1^4*T2 - 105*T1^5*T2 + 140*T2^2 - 
     122*T1*T2^2 - 497*T1^2*T2^2 + 751*T1^3*T2^2 - 497*T1^4*T2^2 - 
     122*T1^5*T2^2 + 140*T1^6*T2^2 - 105*T2^3 - 122*T1*T2^3 + 751*T1^2*T2^3 - 
     344*T1^3*T2^3 - 344*T1^4*T2^3 + 751*T1^5*T2^3 - 122*T1^6*T2^3 - 
     105*T1^7*T2^3 + 30*T2^4 + 262*T1*T2^4 - 497*T1^2*T2^4 - 344*T1^3*T2^4 + 
     672*T1^4*T2^4 - 344*T1^5*T2^4 - 497*T1^6*T2^4 + 262*T1^7*T2^4 + 
     30*T1^8*T2^4 - 105*T1*T2^5 - 122*T1^2*T2^5 + 751*T1^3*T2^5 - 
     344*T1^4*T2^5 - 344*T1^5*T2^5 + 751*T1^6*T2^5 - 122*T1^7*T2^5 - 
     105*T1^8*T2^5 + 140*T1^2*T2^6 - 122*T1^3*T2^6 - 497*T1^4*T2^6 + 
     751*T1^5*T2^6 - 497*T1^6*T2^6 - 122*T1^7*T2^6 + 140*T1^8*T2^6 - 
     105*T1^3*T2^7 + 262*T1^4*T2^7 - 122*T1^5*T2^7 - 122*T1^6*T2^7 + 
     262*T1^7*T2^7 - 105*T1^8*T2^7 + 30*T1^4*T2^8 - 105*T1^5*T2^8 + 
     140*T1^6*T2^8 - 105*T1^7*T2^8 + 30*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 359] -> {(3 - 17*T + 29*T^2 - 17*T^3 + 3*T^4)/T^2, 
   -((3 - 18*T1 + 31*T1^2 - 18*T1^3 + 3*T1^4 - 18*T2 + 98*T1*T2 - 
      90*T1^2*T2 - 90*T1^3*T2 + 98*T1^4*T2 - 18*T1^5*T2 + 31*T2^2 - 
      90*T1*T2^2 - 353*T1^2*T2^2 + 939*T1^3*T2^2 - 353*T1^4*T2^2 - 
      90*T1^5*T2^2 + 31*T1^6*T2^2 - 18*T2^3 - 90*T1*T2^3 + 939*T1^2*T2^3 - 
      982*T1^3*T2^3 - 982*T1^4*T2^3 + 939*T1^5*T2^3 - 90*T1^6*T2^3 - 
      18*T1^7*T2^3 + 3*T2^4 + 98*T1*T2^4 - 353*T1^2*T2^4 - 982*T1^3*T2^4 + 
      2880*T1^4*T2^4 - 982*T1^5*T2^4 - 353*T1^6*T2^4 + 98*T1^7*T2^4 + 
      3*T1^8*T2^4 - 18*T1*T2^5 - 90*T1^2*T2^5 + 939*T1^3*T2^5 - 
      982*T1^4*T2^5 - 982*T1^5*T2^5 + 939*T1^6*T2^5 - 90*T1^7*T2^5 - 
      18*T1^8*T2^5 + 31*T1^2*T2^6 - 90*T1^3*T2^6 - 353*T1^4*T2^6 + 
      939*T1^5*T2^6 - 353*T1^6*T2^6 - 90*T1^7*T2^6 + 31*T1^8*T2^6 - 
      18*T1^3*T2^7 + 98*T1^4*T2^7 - 90*T1^5*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 + 
      31*T1^6*T2^8 - 18*T1^7*T2^8 + 3*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, NonAlternating, 360] -> {((3 - 3*T + T^2)*(1 - 3*T + 3*T^2))/T^2, 
   (9 - 39*T1 + 65*T1^2 - 39*T1^3 + 9*T1^4 - 39*T2 + 126*T1*T2 - 
     112*T1^2*T2 - 112*T1^3*T2 + 126*T1^4*T2 - 39*T1^5*T2 + 65*T2^2 - 
     112*T1*T2^2 - 135*T1^2*T2^2 + 567*T1^3*T2^2 - 135*T1^4*T2^2 - 
     112*T1^5*T2^2 + 65*T1^6*T2^2 - 39*T2^3 - 112*T1*T2^3 + 567*T1^2*T2^3 - 
     636*T1^3*T2^3 - 636*T1^4*T2^3 + 567*T1^5*T2^3 - 112*T1^6*T2^3 - 
     39*T1^7*T2^3 + 9*T2^4 + 126*T1*T2^4 - 135*T1^2*T2^4 - 636*T1^3*T2^4 + 
     1836*T1^4*T2^4 - 636*T1^5*T2^4 - 135*T1^6*T2^4 + 126*T1^7*T2^4 + 
     9*T1^8*T2^4 - 39*T1*T2^5 - 112*T1^2*T2^5 + 567*T1^3*T2^5 - 
     636*T1^4*T2^5 - 636*T1^5*T2^5 + 567*T1^6*T2^5 - 112*T1^7*T2^5 - 
     39*T1^8*T2^5 + 65*T1^2*T2^6 - 112*T1^3*T2^6 - 135*T1^4*T2^6 + 
     567*T1^5*T2^6 - 135*T1^6*T2^6 - 112*T1^7*T2^6 + 65*T1^8*T2^6 - 
     39*T1^3*T2^7 + 126*T1^4*T2^7 - 112*T1^5*T2^7 - 112*T1^6*T2^7 + 
     126*T1^7*T2^7 - 39*T1^8*T2^7 + 9*T1^4*T2^8 - 39*T1^5*T2^8 + 
     65*T1^6*T2^8 - 39*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 361] -> 
  {-((3 - 11*T + 15*T^2 - 15*T^3 + 15*T^4 - 11*T^5 + 3*T^6)/T^3), 
   -((57 - 208*T1 + 279*T1^2 - 277*T1^3 + 279*T1^4 - 208*T1^5 + 57*T1^6 - 
      208*T2 + 552*T1*T2 - 261*T1^2*T2 - 7*T1^3*T2 - 7*T1^4*T2 - 
      261*T1^5*T2 + 552*T1^6*T2 - 208*T1^7*T2 + 279*T2^2 - 261*T1*T2^2 - 
      1130*T1^2*T2^2 + 1403*T1^3*T2^2 - 1046*T1^4*T2^2 + 1403*T1^5*T2^2 - 
      1130*T1^6*T2^2 - 261*T1^7*T2^2 + 279*T1^8*T2^2 - 277*T2^3 - 7*T1*T2^3 + 
      1403*T1^2*T2^3 - 434*T1^3*T2^3 - 260*T1^4*T2^3 - 260*T1^5*T2^3 - 
      434*T1^6*T2^3 + 1403*T1^7*T2^3 - 7*T1^8*T2^3 - 277*T1^9*T2^3 + 
      279*T2^4 - 7*T1*T2^4 - 1046*T1^2*T2^4 - 260*T1^3*T2^4 + 289*T1^4*T2^4 + 
      337*T1^5*T2^4 + 289*T1^6*T2^4 - 260*T1^7*T2^4 - 1046*T1^8*T2^4 - 
      7*T1^9*T2^4 + 279*T1^10*T2^4 - 208*T2^5 - 261*T1*T2^5 + 
      1403*T1^2*T2^5 - 260*T1^3*T2^5 + 337*T1^4*T2^5 - 344*T1^5*T2^5 - 
      344*T1^6*T2^5 + 337*T1^7*T2^5 - 260*T1^8*T2^5 + 1403*T1^9*T2^5 - 
      261*T1^10*T2^5 - 208*T1^11*T2^5 + 57*T2^6 + 552*T1*T2^6 - 
      1130*T1^2*T2^6 - 434*T1^3*T2^6 + 289*T1^4*T2^6 - 344*T1^5*T2^6 + 
      624*T1^6*T2^6 - 344*T1^7*T2^6 + 289*T1^8*T2^6 - 434*T1^9*T2^6 - 
      1130*T1^10*T2^6 + 552*T1^11*T2^6 + 57*T1^12*T2^6 - 208*T1*T2^7 - 
      261*T1^2*T2^7 + 1403*T1^3*T2^7 - 260*T1^4*T2^7 + 337*T1^5*T2^7 - 
      344*T1^6*T2^7 - 344*T1^7*T2^7 + 337*T1^8*T2^7 - 260*T1^9*T2^7 + 
      1403*T1^10*T2^7 - 261*T1^11*T2^7 - 208*T1^12*T2^7 + 279*T1^2*T2^8 - 
      7*T1^3*T2^8 - 1046*T1^4*T2^8 - 260*T1^5*T2^8 + 289*T1^6*T2^8 + 
      337*T1^7*T2^8 + 289*T1^8*T2^8 - 260*T1^9*T2^8 - 1046*T1^10*T2^8 - 
      7*T1^11*T2^8 + 279*T1^12*T2^8 - 277*T1^3*T2^9 - 7*T1^4*T2^9 + 
      1403*T1^5*T2^9 - 434*T1^6*T2^9 - 260*T1^7*T2^9 - 260*T1^8*T2^9 - 
      434*T1^9*T2^9 + 1403*T1^10*T2^9 - 7*T1^11*T2^9 - 277*T1^12*T2^9 + 
      279*T1^4*T2^10 - 261*T1^5*T2^10 - 1130*T1^6*T2^10 + 1403*T1^7*T2^10 - 
      1046*T1^8*T2^10 + 1403*T1^9*T2^10 - 1130*T1^10*T2^10 - 
      261*T1^11*T2^10 + 279*T1^12*T2^10 - 208*T1^5*T2^11 + 552*T1^6*T2^11 - 
      261*T1^7*T2^11 - 7*T1^8*T2^11 - 7*T1^9*T2^11 - 261*T1^10*T2^11 + 
      552*T1^11*T2^11 - 208*T1^12*T2^11 + 57*T1^6*T2^12 - 208*T1^7*T2^12 + 
      279*T1^8*T2^12 - 277*T1^9*T2^12 + 279*T1^10*T2^12 - 208*T1^11*T2^12 + 
      57*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 362] -> 
  {(1 - 4*T + 7*T^2 - 7*T^3 + 7*T^4 - 4*T^5 + T^6)/T^3, 
   -((1 - 4*T1 + 7*T1^2 - 7*T1^3 + 7*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 12*T1*T2 - 
      12*T1^2*T2 - 12*T1^5*T2 + 12*T1^6*T2 - 4*T1^7*T2 + 7*T2^2 - 
      12*T1*T2^2 - 11*T1^2*T2^2 + 47*T1^3*T2^2 - 35*T1^4*T2^2 + 
      47*T1^5*T2^2 - 11*T1^6*T2^2 - 12*T1^7*T2^2 + 7*T1^8*T2^2 - 7*T2^3 + 
      47*T1^2*T2^3 - 74*T1^3*T2^3 + 13*T1^4*T2^3 + 13*T1^5*T2^3 - 
      74*T1^6*T2^3 + 47*T1^7*T2^3 - 7*T1^9*T2^3 + 7*T2^4 - 35*T1^2*T2^4 + 
      13*T1^3*T2^4 + 91*T1^4*T2^4 - 137*T1^5*T2^4 + 91*T1^6*T2^4 + 
      13*T1^7*T2^4 - 35*T1^8*T2^4 + 7*T1^10*T2^4 - 4*T2^5 - 12*T1*T2^5 + 
      47*T1^2*T2^5 + 13*T1^3*T2^5 - 137*T1^4*T2^5 + 118*T1^5*T2^5 + 
      118*T1^6*T2^5 - 137*T1^7*T2^5 + 13*T1^8*T2^5 + 47*T1^9*T2^5 - 
      12*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 12*T1*T2^6 - 11*T1^2*T2^6 - 
      74*T1^3*T2^6 + 91*T1^4*T2^6 + 118*T1^5*T2^6 - 360*T1^6*T2^6 + 
      118*T1^7*T2^6 + 91*T1^8*T2^6 - 74*T1^9*T2^6 - 11*T1^10*T2^6 + 
      12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 12*T1^2*T2^7 + 47*T1^3*T2^7 + 
      13*T1^4*T2^7 - 137*T1^5*T2^7 + 118*T1^6*T2^7 + 118*T1^7*T2^7 - 
      137*T1^8*T2^7 + 13*T1^9*T2^7 + 47*T1^10*T2^7 - 12*T1^11*T2^7 - 
      4*T1^12*T2^7 + 7*T1^2*T2^8 - 35*T1^4*T2^8 + 13*T1^5*T2^8 + 
      91*T1^6*T2^8 - 137*T1^7*T2^8 + 91*T1^8*T2^8 + 13*T1^9*T2^8 - 
      35*T1^10*T2^8 + 7*T1^12*T2^8 - 7*T1^3*T2^9 + 47*T1^5*T2^9 - 
      74*T1^6*T2^9 + 13*T1^7*T2^9 + 13*T1^8*T2^9 - 74*T1^9*T2^9 + 
      47*T1^10*T2^9 - 7*T1^12*T2^9 + 7*T1^4*T2^10 - 12*T1^5*T2^10 - 
      11*T1^6*T2^10 + 47*T1^7*T2^10 - 35*T1^8*T2^10 + 47*T1^9*T2^10 - 
      11*T1^10*T2^10 - 12*T1^11*T2^10 + 7*T1^12*T2^10 - 4*T1^5*T2^11 + 
      12*T1^6*T2^11 - 12*T1^7*T2^11 - 12*T1^10*T2^11 + 12*T1^11*T2^11 - 
      4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 7*T1^8*T2^12 - 
      7*T1^9*T2^12 + 7*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, NonAlternating, 363] -> 
  {((1 - T + T^2)*(1 - 7*T + 13*T^2 - 7*T^3 + T^4))/T^3, 
   -((1 - 8*T1 + 21*T1^2 - 27*T1^3 + 21*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
      58*T1*T2 - 107*T1^2*T2 + 47*T1^3*T2 + 47*T1^4*T2 - 107*T1^5*T2 + 
      58*T1^6*T2 - 8*T1^7*T2 + 21*T2^2 - 107*T1*T2^2 - 79*T1^2*T2^2 + 
      706*T1^3*T2^2 - 939*T1^4*T2^2 + 706*T1^5*T2^2 - 79*T1^6*T2^2 - 
      107*T1^7*T2^2 + 21*T1^8*T2^2 - 27*T2^3 + 47*T1*T2^3 + 706*T1^2*T2^3 - 
      1676*T1^3*T2^3 + 683*T1^4*T2^3 + 683*T1^5*T2^3 - 1676*T1^6*T2^3 + 
      706*T1^7*T2^3 + 47*T1^8*T2^3 - 27*T1^9*T2^3 + 21*T2^4 + 47*T1*T2^4 - 
      939*T1^2*T2^4 + 683*T1^3*T2^4 + 2610*T1^4*T2^4 - 3616*T1^5*T2^4 + 
      2610*T1^6*T2^4 + 683*T1^7*T2^4 - 939*T1^8*T2^4 + 47*T1^9*T2^4 + 
      21*T1^10*T2^4 - 8*T2^5 - 107*T1*T2^5 + 706*T1^2*T2^5 + 683*T1^3*T2^5 - 
      3616*T1^4*T2^5 + 1372*T1^5*T2^5 + 1372*T1^6*T2^5 - 3616*T1^7*T2^5 + 
      683*T1^8*T2^5 + 706*T1^9*T2^5 - 107*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
      58*T1*T2^6 - 79*T1^2*T2^6 - 1676*T1^3*T2^6 + 2610*T1^4*T2^6 + 
      1372*T1^5*T2^6 - 2328*T1^6*T2^6 + 1372*T1^7*T2^6 + 2610*T1^8*T2^6 - 
      1676*T1^9*T2^6 - 79*T1^10*T2^6 + 58*T1^11*T2^6 + T1^12*T2^6 - 
      8*T1*T2^7 - 107*T1^2*T2^7 + 706*T1^3*T2^7 + 683*T1^4*T2^7 - 
      3616*T1^5*T2^7 + 1372*T1^6*T2^7 + 1372*T1^7*T2^7 - 3616*T1^8*T2^7 + 
      683*T1^9*T2^7 + 706*T1^10*T2^7 - 107*T1^11*T2^7 - 8*T1^12*T2^7 + 
      21*T1^2*T2^8 + 47*T1^3*T2^8 - 939*T1^4*T2^8 + 683*T1^5*T2^8 + 
      2610*T1^6*T2^8 - 3616*T1^7*T2^8 + 2610*T1^8*T2^8 + 683*T1^9*T2^8 - 
      939*T1^10*T2^8 + 47*T1^11*T2^8 + 21*T1^12*T2^8 - 27*T1^3*T2^9 + 
      47*T1^4*T2^9 + 706*T1^5*T2^9 - 1676*T1^6*T2^9 + 683*T1^7*T2^9 + 
      683*T1^8*T2^9 - 1676*T1^9*T2^9 + 706*T1^10*T2^9 + 47*T1^11*T2^9 - 
      27*T1^12*T2^9 + 21*T1^4*T2^10 - 107*T1^5*T2^10 - 79*T1^6*T2^10 + 
      706*T1^7*T2^10 - 939*T1^8*T2^10 + 706*T1^9*T2^10 - 79*T1^10*T2^10 - 
      107*T1^11*T2^10 + 21*T1^12*T2^10 - 8*T1^5*T2^11 + 58*T1^6*T2^11 - 
      107*T1^7*T2^11 + 47*T1^8*T2^11 + 47*T1^9*T2^11 - 107*T1^10*T2^11 + 
      58*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
      21*T1^8*T2^12 - 27*T1^9*T2^12 + 21*T1^10*T2^12 - 8*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 364] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^3, 
   (7 - 38*T1 + 78*T1^2 - 91*T1^3 + 78*T1^4 - 38*T1^5 + 7*T1^6 - 38*T2 + 
     168*T1*T2 - 217*T1^2*T2 + 71*T1^3*T2 + 71*T1^4*T2 - 217*T1^5*T2 + 
     168*T1^6*T2 - 38*T1^7*T2 + 78*T2^2 - 217*T1*T2^2 - 166*T1^2*T2^2 + 
     859*T1^3*T2^2 - 966*T1^4*T2^2 + 859*T1^5*T2^2 - 166*T1^6*T2^2 - 
     217*T1^7*T2^2 + 78*T1^8*T2^2 - 91*T2^3 + 71*T1*T2^3 + 859*T1^2*T2^3 - 
     1422*T1^3*T2^3 + 411*T1^4*T2^3 + 411*T1^5*T2^3 - 1422*T1^6*T2^3 + 
     859*T1^7*T2^3 + 71*T1^8*T2^3 - 91*T1^9*T2^3 + 78*T2^4 + 71*T1*T2^4 - 
     966*T1^2*T2^4 + 411*T1^3*T2^4 + 1829*T1^4*T2^4 - 2331*T1^5*T2^4 + 
     1829*T1^6*T2^4 + 411*T1^7*T2^4 - 966*T1^8*T2^4 + 71*T1^9*T2^4 + 
     78*T1^10*T2^4 - 38*T2^5 - 217*T1*T2^5 + 859*T1^2*T2^5 + 411*T1^3*T2^5 - 
     2331*T1^4*T2^5 + 1042*T1^5*T2^5 + 1042*T1^6*T2^5 - 2331*T1^7*T2^5 + 
     411*T1^8*T2^5 + 859*T1^9*T2^5 - 217*T1^10*T2^5 - 38*T1^11*T2^5 + 
     7*T2^6 + 168*T1*T2^6 - 166*T1^2*T2^6 - 1422*T1^3*T2^6 + 1829*T1^4*T2^6 + 
     1042*T1^5*T2^6 - 2388*T1^6*T2^6 + 1042*T1^7*T2^6 + 1829*T1^8*T2^6 - 
     1422*T1^9*T2^6 - 166*T1^10*T2^6 + 168*T1^11*T2^6 + 7*T1^12*T2^6 - 
     38*T1*T2^7 - 217*T1^2*T2^7 + 859*T1^3*T2^7 + 411*T1^4*T2^7 - 
     2331*T1^5*T2^7 + 1042*T1^6*T2^7 + 1042*T1^7*T2^7 - 2331*T1^8*T2^7 + 
     411*T1^9*T2^7 + 859*T1^10*T2^7 - 217*T1^11*T2^7 - 38*T1^12*T2^7 + 
     78*T1^2*T2^8 + 71*T1^3*T2^8 - 966*T1^4*T2^8 + 411*T1^5*T2^8 + 
     1829*T1^6*T2^8 - 2331*T1^7*T2^8 + 1829*T1^8*T2^8 + 411*T1^9*T2^8 - 
     966*T1^10*T2^8 + 71*T1^11*T2^8 + 78*T1^12*T2^8 - 91*T1^3*T2^9 + 
     71*T1^4*T2^9 + 859*T1^5*T2^9 - 1422*T1^6*T2^9 + 411*T1^7*T2^9 + 
     411*T1^8*T2^9 - 1422*T1^9*T2^9 + 859*T1^10*T2^9 + 71*T1^11*T2^9 - 
     91*T1^12*T2^9 + 78*T1^4*T2^10 - 217*T1^5*T2^10 - 166*T1^6*T2^10 + 
     859*T1^7*T2^10 - 966*T1^8*T2^10 + 859*T1^9*T2^10 - 166*T1^10*T2^10 - 
     217*T1^11*T2^10 + 78*T1^12*T2^10 - 38*T1^5*T2^11 + 168*T1^6*T2^11 - 
     217*T1^7*T2^11 + 71*T1^8*T2^11 + 71*T1^9*T2^11 - 217*T1^10*T2^11 + 
     168*T1^11*T2^11 - 38*T1^12*T2^11 + 7*T1^6*T2^12 - 38*T1^7*T2^12 + 
     78*T1^8*T2^12 - 91*T1^9*T2^12 + 78*T1^10*T2^12 - 38*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 365] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^3, 
   -((7 - 38*T1 + 78*T1^2 - 91*T1^3 + 78*T1^4 - 38*T1^5 + 7*T1^6 - 38*T2 + 
      168*T1*T2 - 217*T1^2*T2 + 71*T1^3*T2 + 71*T1^4*T2 - 217*T1^5*T2 + 
      168*T1^6*T2 - 38*T1^7*T2 + 78*T2^2 - 217*T1*T2^2 - 166*T1^2*T2^2 + 
      859*T1^3*T2^2 - 966*T1^4*T2^2 + 859*T1^5*T2^2 - 166*T1^6*T2^2 - 
      217*T1^7*T2^2 + 78*T1^8*T2^2 - 91*T2^3 + 71*T1*T2^3 + 859*T1^2*T2^3 - 
      1422*T1^3*T2^3 + 411*T1^4*T2^3 + 411*T1^5*T2^3 - 1422*T1^6*T2^3 + 
      859*T1^7*T2^3 + 71*T1^8*T2^3 - 91*T1^9*T2^3 + 78*T2^4 + 71*T1*T2^4 - 
      966*T1^2*T2^4 + 411*T1^3*T2^4 + 1829*T1^4*T2^4 - 2331*T1^5*T2^4 + 
      1829*T1^6*T2^4 + 411*T1^7*T2^4 - 966*T1^8*T2^4 + 71*T1^9*T2^4 + 
      78*T1^10*T2^4 - 38*T2^5 - 217*T1*T2^5 + 859*T1^2*T2^5 + 411*T1^3*T2^5 - 
      2331*T1^4*T2^5 + 1042*T1^5*T2^5 + 1042*T1^6*T2^5 - 2331*T1^7*T2^5 + 
      411*T1^8*T2^5 + 859*T1^9*T2^5 - 217*T1^10*T2^5 - 38*T1^11*T2^5 + 
      7*T2^6 + 168*T1*T2^6 - 166*T1^2*T2^6 - 1422*T1^3*T2^6 + 
      1829*T1^4*T2^6 + 1042*T1^5*T2^6 - 2388*T1^6*T2^6 + 1042*T1^7*T2^6 + 
      1829*T1^8*T2^6 - 1422*T1^9*T2^6 - 166*T1^10*T2^6 + 168*T1^11*T2^6 + 
      7*T1^12*T2^6 - 38*T1*T2^7 - 217*T1^2*T2^7 + 859*T1^3*T2^7 + 
      411*T1^4*T2^7 - 2331*T1^5*T2^7 + 1042*T1^6*T2^7 + 1042*T1^7*T2^7 - 
      2331*T1^8*T2^7 + 411*T1^9*T2^7 + 859*T1^10*T2^7 - 217*T1^11*T2^7 - 
      38*T1^12*T2^7 + 78*T1^2*T2^8 + 71*T1^3*T2^8 - 966*T1^4*T2^8 + 
      411*T1^5*T2^8 + 1829*T1^6*T2^8 - 2331*T1^7*T2^8 + 1829*T1^8*T2^8 + 
      411*T1^9*T2^8 - 966*T1^10*T2^8 + 71*T1^11*T2^8 + 78*T1^12*T2^8 - 
      91*T1^3*T2^9 + 71*T1^4*T2^9 + 859*T1^5*T2^9 - 1422*T1^6*T2^9 + 
      411*T1^7*T2^9 + 411*T1^8*T2^9 - 1422*T1^9*T2^9 + 859*T1^10*T2^9 + 
      71*T1^11*T2^9 - 91*T1^12*T2^9 + 78*T1^4*T2^10 - 217*T1^5*T2^10 - 
      166*T1^6*T2^10 + 859*T1^7*T2^10 - 966*T1^8*T2^10 + 859*T1^9*T2^10 - 
      166*T1^10*T2^10 - 217*T1^11*T2^10 + 78*T1^12*T2^10 - 38*T1^5*T2^11 + 
      168*T1^6*T2^11 - 217*T1^7*T2^11 + 71*T1^8*T2^11 + 71*T1^9*T2^11 - 
      217*T1^10*T2^11 + 168*T1^11*T2^11 - 38*T1^12*T2^11 + 7*T1^6*T2^12 - 
      38*T1^7*T2^12 + 78*T1^8*T2^12 - 91*T1^9*T2^12 + 78*T1^10*T2^12 - 
      38*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 366] -> 
  {(1 + 2*T - 8*T^2 + 11*T^3 - 8*T^4 + 2*T^5 + T^6)/T^3, 
   -((3 + 6*T1 - 24*T1^2 + 33*T1^3 - 24*T1^4 + 6*T1^5 + 3*T1^6 + 6*T2 + 
      16*T1*T2 - 34*T1^2*T2 + 18*T1^3*T2 + 18*T1^4*T2 - 34*T1^5*T2 + 
      16*T1^6*T2 + 6*T1^7*T2 - 24*T2^2 - 34*T1*T2^2 + 183*T1^2*T2^2 - 
      360*T1^3*T2^2 + 439*T1^4*T2^2 - 360*T1^5*T2^2 + 183*T1^6*T2^2 - 
      34*T1^7*T2^2 - 24*T1^8*T2^2 + 33*T2^3 + 18*T1*T2^3 - 360*T1^2*T2^3 + 
      542*T1^3*T2^3 - 257*T1^4*T2^3 - 257*T1^5*T2^3 + 542*T1^6*T2^3 - 
      360*T1^7*T2^3 + 18*T1^8*T2^3 + 33*T1^9*T2^3 - 24*T2^4 + 18*T1*T2^4 + 
      439*T1^2*T2^4 - 257*T1^3*T2^4 - 378*T1^4*T2^4 + 698*T1^5*T2^4 - 
      378*T1^6*T2^4 - 257*T1^7*T2^4 + 439*T1^8*T2^4 + 18*T1^9*T2^4 - 
      24*T1^10*T2^4 + 6*T2^5 - 34*T1*T2^5 - 360*T1^2*T2^5 - 257*T1^3*T2^5 + 
      698*T1^4*T2^5 - 354*T1^5*T2^5 - 354*T1^6*T2^5 + 698*T1^7*T2^5 - 
      257*T1^8*T2^5 - 360*T1^9*T2^5 - 34*T1^10*T2^5 + 6*T1^11*T2^5 + 3*T2^6 + 
      16*T1*T2^6 + 183*T1^2*T2^6 + 542*T1^3*T2^6 - 378*T1^4*T2^6 - 
      354*T1^5*T2^6 + 720*T1^6*T2^6 - 354*T1^7*T2^6 - 378*T1^8*T2^6 + 
      542*T1^9*T2^6 + 183*T1^10*T2^6 + 16*T1^11*T2^6 + 3*T1^12*T2^6 + 
      6*T1*T2^7 - 34*T1^2*T2^7 - 360*T1^3*T2^7 - 257*T1^4*T2^7 + 
      698*T1^5*T2^7 - 354*T1^6*T2^7 - 354*T1^7*T2^7 + 698*T1^8*T2^7 - 
      257*T1^9*T2^7 - 360*T1^10*T2^7 - 34*T1^11*T2^7 + 6*T1^12*T2^7 - 
      24*T1^2*T2^8 + 18*T1^3*T2^8 + 439*T1^4*T2^8 - 257*T1^5*T2^8 - 
      378*T1^6*T2^8 + 698*T1^7*T2^8 - 378*T1^8*T2^8 - 257*T1^9*T2^8 + 
      439*T1^10*T2^8 + 18*T1^11*T2^8 - 24*T1^12*T2^8 + 33*T1^3*T2^9 + 
      18*T1^4*T2^9 - 360*T1^5*T2^9 + 542*T1^6*T2^9 - 257*T1^7*T2^9 - 
      257*T1^8*T2^9 + 542*T1^9*T2^9 - 360*T1^10*T2^9 + 18*T1^11*T2^9 + 
      33*T1^12*T2^9 - 24*T1^4*T2^10 - 34*T1^5*T2^10 + 183*T1^6*T2^10 - 
      360*T1^7*T2^10 + 439*T1^8*T2^10 - 360*T1^9*T2^10 + 183*T1^10*T2^10 - 
      34*T1^11*T2^10 - 24*T1^12*T2^10 + 6*T1^5*T2^11 + 16*T1^6*T2^11 - 
      34*T1^7*T2^11 + 18*T1^8*T2^11 + 18*T1^9*T2^11 - 34*T1^10*T2^11 + 
      16*T1^11*T2^11 + 6*T1^12*T2^11 + 3*T1^6*T2^12 + 6*T1^7*T2^12 - 
      24*T1^8*T2^12 + 33*T1^9*T2^12 - 24*T1^10*T2^12 + 6*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 367] -> 
  {-((1 - 10*T + 30*T^2 - 43*T^3 + 30*T^4 - 10*T^5 + T^6)/T^3), 
   -((T1 - T1^2 - T1^3 + T1^4 + T2 - 3*T1*T2 - 8*T1^2*T2 + 19*T1^3*T2 - 
      8*T1^4*T2 - 3*T1^5*T2 + T1^6*T2 - T2^2 - 8*T1*T2^2 + 46*T1^2*T2^2 - 
      27*T1^3*T2^2 - 27*T1^4*T2^2 + 46*T1^5*T2^2 - 8*T1^6*T2^2 - T1^7*T2^2 - 
      T2^3 + 19*T1*T2^3 - 27*T1^2*T2^3 - 133*T1^3*T2^3 + 185*T1^4*T2^3 - 
      133*T1^5*T2^3 - 27*T1^6*T2^3 + 19*T1^7*T2^3 - T1^8*T2^3 + T2^4 - 
      8*T1*T2^4 - 27*T1^2*T2^4 + 185*T1^3*T2^4 - 36*T1^4*T2^4 - 
      36*T1^5*T2^4 + 185*T1^6*T2^4 - 27*T1^7*T2^4 - 8*T1^8*T2^4 + T1^9*T2^4 - 
      3*T1*T2^5 + 46*T1^2*T2^5 - 133*T1^3*T2^5 - 36*T1^4*T2^5 - 
      48*T1^5*T2^5 - 36*T1^6*T2^5 - 133*T1^7*T2^5 + 46*T1^8*T2^5 - 
      3*T1^9*T2^5 + T1*T2^6 - 8*T1^2*T2^6 - 27*T1^3*T2^6 + 185*T1^4*T2^6 - 
      36*T1^5*T2^6 - 36*T1^6*T2^6 + 185*T1^7*T2^6 - 27*T1^8*T2^6 - 
      8*T1^9*T2^6 + T1^10*T2^6 - T1^2*T2^7 + 19*T1^3*T2^7 - 27*T1^4*T2^7 - 
      133*T1^5*T2^7 + 185*T1^6*T2^7 - 133*T1^7*T2^7 - 27*T1^8*T2^7 + 
      19*T1^9*T2^7 - T1^10*T2^7 - T1^3*T2^8 - 8*T1^4*T2^8 + 46*T1^5*T2^8 - 
      27*T1^6*T2^8 - 27*T1^7*T2^8 + 46*T1^8*T2^8 - 8*T1^9*T2^8 - T1^10*T2^8 + 
      T1^4*T2^9 - 3*T1^5*T2^9 - 8*T1^6*T2^9 + 19*T1^7*T2^9 - 8*T1^8*T2^9 - 
      3*T1^9*T2^9 + T1^10*T2^9 + T1^6*T2^10 - T1^7*T2^10 - T1^8*T2^10 + 
      T1^9*T2^10)/(T1^5*T2^5))}, Knot[12, NonAlternating, 368] -> 
  {-(((1 - T + T^2)*(1 - 3*T + T^2 + T^3 + T^4 - 3*T^5 + T^6))/T^4), 
   -((3 - 12*T1 + 15*T1^2 - 9*T1^3 + 3*T1^4 - 9*T1^5 + 15*T1^6 - 12*T1^7 + 
      3*T1^8 - 12*T2 + 36*T1*T2 - 12*T1^2*T2 - 24*T1^3*T2 + 24*T1^4*T2 + 
      24*T1^5*T2 - 24*T1^6*T2 - 12*T1^7*T2 + 36*T1^8*T2 - 12*T1^9*T2 + 
      15*T2^2 - 12*T1*T2^2 - 99*T1^2*T2^2 + 130*T1^3*T2^2 - 48*T1^4*T2^2 - 
      47*T1^5*T2^2 - 48*T1^6*T2^2 + 130*T1^7*T2^2 - 99*T1^8*T2^2 - 
      12*T1^9*T2^2 + 15*T1^10*T2^2 - 9*T2^3 - 24*T1*T2^3 + 130*T1^2*T2^3 - 
      38*T1^3*T2^3 - 98*T1^4*T2^3 + 102*T1^5*T2^3 + 102*T1^6*T2^3 - 
      98*T1^7*T2^3 - 38*T1^8*T2^3 + 130*T1^9*T2^3 - 24*T1^10*T2^3 - 
      9*T1^11*T2^3 + 3*T2^4 + 24*T1*T2^4 - 48*T1^2*T2^4 - 98*T1^3*T2^4 + 
      138*T1^4*T2^4 - 28*T1^5*T2^4 - 112*T1^6*T2^4 - 28*T1^7*T2^4 + 
      138*T1^8*T2^4 - 98*T1^9*T2^4 - 48*T1^10*T2^4 + 24*T1^11*T2^4 + 
      3*T1^12*T2^4 - 9*T2^5 + 24*T1*T2^5 - 47*T1^2*T2^5 + 102*T1^3*T2^5 - 
      28*T1^4*T2^5 - 62*T1^5*T2^5 + 65*T1^6*T2^5 + 65*T1^7*T2^5 - 
      62*T1^8*T2^5 - 28*T1^9*T2^5 + 102*T1^10*T2^5 - 47*T1^11*T2^5 + 
      24*T1^12*T2^5 - 9*T1^13*T2^5 + 15*T2^6 - 24*T1*T2^6 - 48*T1^2*T2^6 + 
      102*T1^3*T2^6 - 112*T1^4*T2^6 + 65*T1^5*T2^6 - 42*T1^6*T2^6 + 
      28*T1^7*T2^6 - 42*T1^8*T2^6 + 65*T1^9*T2^6 - 112*T1^10*T2^6 + 
      102*T1^11*T2^6 - 48*T1^12*T2^6 - 24*T1^13*T2^6 + 15*T1^14*T2^6 - 
      12*T2^7 - 12*T1*T2^7 + 130*T1^2*T2^7 - 98*T1^3*T2^7 - 28*T1^4*T2^7 + 
      65*T1^5*T2^7 + 28*T1^6*T2^7 - 40*T1^7*T2^7 - 40*T1^8*T2^7 + 
      28*T1^9*T2^7 + 65*T1^10*T2^7 - 28*T1^11*T2^7 - 98*T1^12*T2^7 + 
      130*T1^13*T2^7 - 12*T1^14*T2^7 - 12*T1^15*T2^7 + 3*T2^8 + 36*T1*T2^8 - 
      99*T1^2*T2^8 - 38*T1^3*T2^8 + 138*T1^4*T2^8 - 62*T1^5*T2^8 - 
      42*T1^6*T2^8 - 40*T1^7*T2^8 + 132*T1^8*T2^8 - 40*T1^9*T2^8 - 
      42*T1^10*T2^8 - 62*T1^11*T2^8 + 138*T1^12*T2^8 - 38*T1^13*T2^8 - 
      99*T1^14*T2^8 + 36*T1^15*T2^8 + 3*T1^16*T2^8 - 12*T1*T2^9 - 
      12*T1^2*T2^9 + 130*T1^3*T2^9 - 98*T1^4*T2^9 - 28*T1^5*T2^9 + 
      65*T1^6*T2^9 + 28*T1^7*T2^9 - 40*T1^8*T2^9 - 40*T1^9*T2^9 + 
      28*T1^10*T2^9 + 65*T1^11*T2^9 - 28*T1^12*T2^9 - 98*T1^13*T2^9 + 
      130*T1^14*T2^9 - 12*T1^15*T2^9 - 12*T1^16*T2^9 + 15*T1^2*T2^10 - 
      24*T1^3*T2^10 - 48*T1^4*T2^10 + 102*T1^5*T2^10 - 112*T1^6*T2^10 + 
      65*T1^7*T2^10 - 42*T1^8*T2^10 + 28*T1^9*T2^10 - 42*T1^10*T2^10 + 
      65*T1^11*T2^10 - 112*T1^12*T2^10 + 102*T1^13*T2^10 - 48*T1^14*T2^10 - 
      24*T1^15*T2^10 + 15*T1^16*T2^10 - 9*T1^3*T2^11 + 24*T1^4*T2^11 - 
      47*T1^5*T2^11 + 102*T1^6*T2^11 - 28*T1^7*T2^11 - 62*T1^8*T2^11 + 
      65*T1^9*T2^11 + 65*T1^10*T2^11 - 62*T1^11*T2^11 - 28*T1^12*T2^11 + 
      102*T1^13*T2^11 - 47*T1^14*T2^11 + 24*T1^15*T2^11 - 9*T1^16*T2^11 + 
      3*T1^4*T2^12 + 24*T1^5*T2^12 - 48*T1^6*T2^12 - 98*T1^7*T2^12 + 
      138*T1^8*T2^12 - 28*T1^9*T2^12 - 112*T1^10*T2^12 - 28*T1^11*T2^12 + 
      138*T1^12*T2^12 - 98*T1^13*T2^12 - 48*T1^14*T2^12 + 24*T1^15*T2^12 + 
      3*T1^16*T2^12 - 9*T1^5*T2^13 - 24*T1^6*T2^13 + 130*T1^7*T2^13 - 
      38*T1^8*T2^13 - 98*T1^9*T2^13 + 102*T1^10*T2^13 + 102*T1^11*T2^13 - 
      98*T1^12*T2^13 - 38*T1^13*T2^13 + 130*T1^14*T2^13 - 24*T1^15*T2^13 - 
      9*T1^16*T2^13 + 15*T1^6*T2^14 - 12*T1^7*T2^14 - 99*T1^8*T2^14 + 
      130*T1^9*T2^14 - 48*T1^10*T2^14 - 47*T1^11*T2^14 - 48*T1^12*T2^14 + 
      130*T1^13*T2^14 - 99*T1^14*T2^14 - 12*T1^15*T2^14 + 15*T1^16*T2^14 - 
      12*T1^7*T2^15 + 36*T1^8*T2^15 - 12*T1^9*T2^15 - 24*T1^10*T2^15 + 
      24*T1^11*T2^15 + 24*T1^12*T2^15 - 24*T1^13*T2^15 - 12*T1^14*T2^15 + 
      36*T1^15*T2^15 - 12*T1^16*T2^15 + 3*T1^8*T2^16 - 12*T1^9*T2^16 + 
      15*T1^10*T2^16 - 9*T1^11*T2^16 + 3*T1^12*T2^16 - 9*T1^13*T2^16 + 
      15*T1^14*T2^16 - 12*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 369] -> 
  {-(((1 - T + T^2)*(-1 + T - 2*T^2 + T^3)*(-1 + 2*T - T^2 + T^3))/T^4), 
   -((1 - 4*T1 + 9*T1^2 - 15*T1^3 + 17*T1^4 - 15*T1^5 + 9*T1^6 - 4*T1^7 + 
      T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 24*T1^3*T2 - 8*T1^4*T2 - 
      8*T1^5*T2 + 24*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 9*T2^2 - 
      20*T1*T2^2 + 25*T1^2*T2^2 - 23*T1^3*T2^2 - 16*T1^4*T2^2 + 
      17*T1^5*T2^2 - 16*T1^6*T2^2 - 23*T1^7*T2^2 + 25*T1^8*T2^2 - 
      20*T1^9*T2^2 + 9*T1^10*T2^2 - 15*T2^3 + 24*T1*T2^3 - 23*T1^2*T2^3 + 
      18*T1^3*T2^3 + 44*T1^4*T2^3 - T1^5*T2^3 - T1^6*T2^3 + 44*T1^7*T2^3 + 
      18*T1^8*T2^3 - 23*T1^9*T2^3 + 24*T1^10*T2^3 - 15*T1^11*T2^3 + 17*T2^4 - 
      8*T1*T2^4 - 16*T1^2*T2^4 + 44*T1^3*T2^4 - 134*T1^4*T2^4 + 
      27*T1^5*T2^4 - 58*T1^6*T2^4 + 27*T1^7*T2^4 - 134*T1^8*T2^4 + 
      44*T1^9*T2^4 - 16*T1^10*T2^4 - 8*T1^11*T2^4 + 17*T1^12*T2^4 - 15*T2^5 - 
      8*T1*T2^5 + 17*T1^2*T2^5 - T1^3*T2^5 + 27*T1^4*T2^5 + 158*T1^5*T2^5 - 
      15*T1^6*T2^5 - 15*T1^7*T2^5 + 158*T1^8*T2^5 + 27*T1^9*T2^5 - 
      T1^10*T2^5 + 17*T1^11*T2^5 - 8*T1^12*T2^5 - 15*T1^13*T2^5 + 9*T2^6 + 
      24*T1*T2^6 - 16*T1^2*T2^6 - T1^3*T2^6 - 58*T1^4*T2^6 - 15*T1^5*T2^6 - 
      326*T1^6*T2^6 + 322*T1^7*T2^6 - 326*T1^8*T2^6 - 15*T1^9*T2^6 - 
      58*T1^10*T2^6 - T1^11*T2^6 - 16*T1^12*T2^6 + 24*T1^13*T2^6 + 
      9*T1^14*T2^6 - 4*T2^7 - 20*T1*T2^7 - 23*T1^2*T2^7 + 44*T1^3*T2^7 + 
      27*T1^4*T2^7 - 15*T1^5*T2^7 + 322*T1^6*T2^7 - 70*T1^7*T2^7 - 
      70*T1^8*T2^7 + 322*T1^9*T2^7 - 15*T1^10*T2^7 + 27*T1^11*T2^7 + 
      44*T1^12*T2^7 - 23*T1^13*T2^7 - 20*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 
      12*T1*T2^8 + 25*T1^2*T2^8 + 18*T1^3*T2^8 - 134*T1^4*T2^8 + 
      158*T1^5*T2^8 - 326*T1^6*T2^8 - 70*T1^7*T2^8 + 84*T1^8*T2^8 - 
      70*T1^9*T2^8 - 326*T1^10*T2^8 + 158*T1^11*T2^8 - 134*T1^12*T2^8 + 
      18*T1^13*T2^8 + 25*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 
      4*T1*T2^9 - 20*T1^2*T2^9 - 23*T1^3*T2^9 + 44*T1^4*T2^9 + 27*T1^5*T2^9 - 
      15*T1^6*T2^9 + 322*T1^7*T2^9 - 70*T1^8*T2^9 - 70*T1^9*T2^9 + 
      322*T1^10*T2^9 - 15*T1^11*T2^9 + 27*T1^12*T2^9 + 44*T1^13*T2^9 - 
      23*T1^14*T2^9 - 20*T1^15*T2^9 - 4*T1^16*T2^9 + 9*T1^2*T2^10 + 
      24*T1^3*T2^10 - 16*T1^4*T2^10 - T1^5*T2^10 - 58*T1^6*T2^10 - 
      15*T1^7*T2^10 - 326*T1^8*T2^10 + 322*T1^9*T2^10 - 326*T1^10*T2^10 - 
      15*T1^11*T2^10 - 58*T1^12*T2^10 - T1^13*T2^10 - 16*T1^14*T2^10 + 
      24*T1^15*T2^10 + 9*T1^16*T2^10 - 15*T1^3*T2^11 - 8*T1^4*T2^11 + 
      17*T1^5*T2^11 - T1^6*T2^11 + 27*T1^7*T2^11 + 158*T1^8*T2^11 - 
      15*T1^9*T2^11 - 15*T1^10*T2^11 + 158*T1^11*T2^11 + 27*T1^12*T2^11 - 
      T1^13*T2^11 + 17*T1^14*T2^11 - 8*T1^15*T2^11 - 15*T1^16*T2^11 + 
      17*T1^4*T2^12 - 8*T1^5*T2^12 - 16*T1^6*T2^12 + 44*T1^7*T2^12 - 
      134*T1^8*T2^12 + 27*T1^9*T2^12 - 58*T1^10*T2^12 + 27*T1^11*T2^12 - 
      134*T1^12*T2^12 + 44*T1^13*T2^12 - 16*T1^14*T2^12 - 8*T1^15*T2^12 + 
      17*T1^16*T2^12 - 15*T1^5*T2^13 + 24*T1^6*T2^13 - 23*T1^7*T2^13 + 
      18*T1^8*T2^13 + 44*T1^9*T2^13 - T1^10*T2^13 - T1^11*T2^13 + 
      44*T1^12*T2^13 + 18*T1^13*T2^13 - 23*T1^14*T2^13 + 24*T1^15*T2^13 - 
      15*T1^16*T2^13 + 9*T1^6*T2^14 - 20*T1^7*T2^14 + 25*T1^8*T2^14 - 
      23*T1^9*T2^14 - 16*T1^10*T2^14 + 17*T1^11*T2^14 - 16*T1^12*T2^14 - 
      23*T1^13*T2^14 + 25*T1^14*T2^14 - 20*T1^15*T2^14 + 9*T1^16*T2^14 - 
      4*T1^7*T2^15 + 12*T1^8*T2^15 - 20*T1^9*T2^15 + 24*T1^10*T2^15 - 
      8*T1^11*T2^15 - 8*T1^12*T2^15 + 24*T1^13*T2^15 - 20*T1^14*T2^15 + 
      12*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 
      9*T1^10*T2^16 - 15*T1^11*T2^16 + 17*T1^12*T2^16 - 15*T1^13*T2^16 + 
      9*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 370] -> {-((1 - 2*T + T^3 - 2*T^5 + T^6)/T^3), 
   -((2 - 5*T1 + 2*T1^2 + 2*T1^3 - 5*T1^4 + 2*T1^5 - 5*T2 + 7*T1*T2 + 
      9*T1^2*T2 - 11*T1^3*T2 + 9*T1^4*T2 + 7*T1^5*T2 - 5*T1^6*T2 + 2*T2^2 + 
      9*T1*T2^2 - 30*T1^2*T2^2 + 11*T1^3*T2^2 + 11*T1^4*T2^2 - 30*T1^5*T2^2 + 
      9*T1^6*T2^2 + 2*T1^7*T2^2 + 2*T2^3 - 11*T1*T2^3 + 11*T1^2*T2^3 + 
      10*T1^3*T2^3 - 28*T1^4*T2^3 + 10*T1^5*T2^3 + 11*T1^6*T2^3 - 
      11*T1^7*T2^3 + 2*T1^8*T2^3 - 5*T2^4 + 9*T1*T2^4 + 11*T1^2*T2^4 - 
      28*T1^3*T2^4 + 32*T1^4*T2^4 + 32*T1^5*T2^4 - 28*T1^6*T2^4 + 
      11*T1^7*T2^4 + 9*T1^8*T2^4 - 5*T1^9*T2^4 + 2*T2^5 + 7*T1*T2^5 - 
      30*T1^2*T2^5 + 10*T1^3*T2^5 + 32*T1^4*T2^5 - 96*T1^5*T2^5 + 
      32*T1^6*T2^5 + 10*T1^7*T2^5 - 30*T1^8*T2^5 + 7*T1^9*T2^5 + 
      2*T1^10*T2^5 - 5*T1*T2^6 + 9*T1^2*T2^6 + 11*T1^3*T2^6 - 28*T1^4*T2^6 + 
      32*T1^5*T2^6 + 32*T1^6*T2^6 - 28*T1^7*T2^6 + 11*T1^8*T2^6 + 
      9*T1^9*T2^6 - 5*T1^10*T2^6 + 2*T1^2*T2^7 - 11*T1^3*T2^7 + 
      11*T1^4*T2^7 + 10*T1^5*T2^7 - 28*T1^6*T2^7 + 10*T1^7*T2^7 + 
      11*T1^8*T2^7 - 11*T1^9*T2^7 + 2*T1^10*T2^7 + 2*T1^3*T2^8 + 
      9*T1^4*T2^8 - 30*T1^5*T2^8 + 11*T1^6*T2^8 + 11*T1^7*T2^8 - 
      30*T1^8*T2^8 + 9*T1^9*T2^8 + 2*T1^10*T2^8 - 5*T1^4*T2^9 + 7*T1^5*T2^9 + 
      9*T1^6*T2^9 - 11*T1^7*T2^9 + 9*T1^8*T2^9 + 7*T1^9*T2^9 - 5*T1^10*T2^9 + 
      2*T1^5*T2^10 - 5*T1^6*T2^10 + 2*T1^7*T2^10 + 2*T1^8*T2^10 - 
      5*T1^9*T2^10 + 2*T1^10*T2^10)/(T1^5*T2^5))}, 
 Knot[12, NonAlternating, 371] -> 
  {(1 - 2*T + 2*T^2 - T^3 + 2*T^4 - 2*T^5 + T^6)/T^3, 
   (1 - 2*T1 + 2*T1^2 - T1^3 + 2*T1^4 - 2*T1^5 + T1^6 - 2*T2 + 3*T1^2*T2 - 
     4*T1^3*T2 - 4*T1^4*T2 + 3*T1^5*T2 - 2*T1^7*T2 + 2*T2^2 + 3*T1*T2^2 - 
     3*T1^2*T2^2 + 3*T1^3*T2^2 + 5*T1^4*T2^2 + 3*T1^5*T2^2 - 3*T1^6*T2^2 + 
     3*T1^7*T2^2 + 2*T1^8*T2^2 - T2^3 - 4*T1*T2^3 + 3*T1^2*T2^3 - 
     2*T1^3*T2^3 - 3*T1^4*T2^3 - 3*T1^5*T2^3 - 2*T1^6*T2^3 + 3*T1^7*T2^3 - 
     4*T1^8*T2^3 - T1^9*T2^3 + 2*T2^4 - 4*T1*T2^4 + 5*T1^2*T2^4 - 
     3*T1^3*T2^4 - 5*T1^4*T2^4 + 7*T1^5*T2^4 - 5*T1^6*T2^4 - 3*T1^7*T2^4 + 
     5*T1^8*T2^4 - 4*T1^9*T2^4 + 2*T1^10*T2^4 - 2*T2^5 + 3*T1*T2^5 + 
     3*T1^2*T2^5 - 3*T1^3*T2^5 + 7*T1^4*T2^5 + 2*T1^5*T2^5 + 2*T1^6*T2^5 + 
     7*T1^7*T2^5 - 3*T1^8*T2^5 + 3*T1^9*T2^5 + 3*T1^10*T2^5 - 2*T1^11*T2^5 + 
     T2^6 - 3*T1^2*T2^6 - 2*T1^3*T2^6 - 5*T1^4*T2^6 + 2*T1^5*T2^6 - 
     12*T1^6*T2^6 + 2*T1^7*T2^6 - 5*T1^8*T2^6 - 2*T1^9*T2^6 - 3*T1^10*T2^6 + 
     T1^12*T2^6 - 2*T1*T2^7 + 3*T1^2*T2^7 + 3*T1^3*T2^7 - 3*T1^4*T2^7 + 
     7*T1^5*T2^7 + 2*T1^6*T2^7 + 2*T1^7*T2^7 + 7*T1^8*T2^7 - 3*T1^9*T2^7 + 
     3*T1^10*T2^7 + 3*T1^11*T2^7 - 2*T1^12*T2^7 + 2*T1^2*T2^8 - 4*T1^3*T2^8 + 
     5*T1^4*T2^8 - 3*T1^5*T2^8 - 5*T1^6*T2^8 + 7*T1^7*T2^8 - 5*T1^8*T2^8 - 
     3*T1^9*T2^8 + 5*T1^10*T2^8 - 4*T1^11*T2^8 + 2*T1^12*T2^8 - T1^3*T2^9 - 
     4*T1^4*T2^9 + 3*T1^5*T2^9 - 2*T1^6*T2^9 - 3*T1^7*T2^9 - 3*T1^8*T2^9 - 
     2*T1^9*T2^9 + 3*T1^10*T2^9 - 4*T1^11*T2^9 - T1^12*T2^9 + 2*T1^4*T2^10 + 
     3*T1^5*T2^10 - 3*T1^6*T2^10 + 3*T1^7*T2^10 + 5*T1^8*T2^10 + 
     3*T1^9*T2^10 - 3*T1^10*T2^10 + 3*T1^11*T2^10 + 2*T1^12*T2^10 - 
     2*T1^5*T2^11 + 3*T1^7*T2^11 - 4*T1^8*T2^11 - 4*T1^9*T2^11 + 
     3*T1^10*T2^11 - 2*T1^12*T2^11 + T1^6*T2^12 - 2*T1^7*T2^12 + 
     2*T1^8*T2^12 - T1^9*T2^12 + 2*T1^10*T2^12 - 2*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 372] -> 
  {(1 - 4*T + 10*T^2 - 13*T^3 + 10*T^4 - 4*T^5 + T^6)/T^3, 
   (1 - 4*T1 + 10*T1^2 - 13*T1^3 + 10*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 
     12*T1*T2 - 24*T1^2*T2 + 12*T1^3*T2 + 12*T1^4*T2 - 24*T1^5*T2 + 
     12*T1^6*T2 - 4*T1^7*T2 + 10*T2^2 - 24*T1*T2^2 + 72*T1^2*T2^2 - 
     74*T1^3*T2^2 + 80*T1^4*T2^2 - 74*T1^5*T2^2 + 72*T1^6*T2^2 - 
     24*T1^7*T2^2 + 10*T1^8*T2^2 - 13*T2^3 + 12*T1*T2^3 - 74*T1^2*T2^3 + 
     4*T1^3*T2^3 - 16*T1^4*T2^3 - 16*T1^5*T2^3 + 4*T1^6*T2^3 - 74*T1^7*T2^3 + 
     12*T1^8*T2^3 - 13*T1^9*T2^3 + 10*T2^4 + 12*T1*T2^4 + 80*T1^2*T2^4 - 
     16*T1^3*T2^4 + 259*T1^4*T2^4 - 277*T1^5*T2^4 + 259*T1^6*T2^4 - 
     16*T1^7*T2^4 + 80*T1^8*T2^4 + 12*T1^9*T2^4 + 10*T1^10*T2^4 - 4*T2^5 - 
     24*T1*T2^5 - 74*T1^2*T2^5 - 16*T1^3*T2^5 - 277*T1^4*T2^5 + 
     56*T1^5*T2^5 + 56*T1^6*T2^5 - 277*T1^7*T2^5 - 16*T1^8*T2^5 - 
     74*T1^9*T2^5 - 24*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 12*T1*T2^6 + 
     72*T1^2*T2^6 + 4*T1^3*T2^6 + 259*T1^4*T2^6 + 56*T1^5*T2^6 - 
     12*T1^6*T2^6 + 56*T1^7*T2^6 + 259*T1^8*T2^6 + 4*T1^9*T2^6 + 
     72*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 24*T1^2*T2^7 - 
     74*T1^3*T2^7 - 16*T1^4*T2^7 - 277*T1^5*T2^7 + 56*T1^6*T2^7 + 
     56*T1^7*T2^7 - 277*T1^8*T2^7 - 16*T1^9*T2^7 - 74*T1^10*T2^7 - 
     24*T1^11*T2^7 - 4*T1^12*T2^7 + 10*T1^2*T2^8 + 12*T1^3*T2^8 + 
     80*T1^4*T2^8 - 16*T1^5*T2^8 + 259*T1^6*T2^8 - 277*T1^7*T2^8 + 
     259*T1^8*T2^8 - 16*T1^9*T2^8 + 80*T1^10*T2^8 + 12*T1^11*T2^8 + 
     10*T1^12*T2^8 - 13*T1^3*T2^9 + 12*T1^4*T2^9 - 74*T1^5*T2^9 + 
     4*T1^6*T2^9 - 16*T1^7*T2^9 - 16*T1^8*T2^9 + 4*T1^9*T2^9 - 
     74*T1^10*T2^9 + 12*T1^11*T2^9 - 13*T1^12*T2^9 + 10*T1^4*T2^10 - 
     24*T1^5*T2^10 + 72*T1^6*T2^10 - 74*T1^7*T2^10 + 80*T1^8*T2^10 - 
     74*T1^9*T2^10 + 72*T1^10*T2^10 - 24*T1^11*T2^10 + 10*T1^12*T2^10 - 
     4*T1^5*T2^11 + 12*T1^6*T2^11 - 24*T1^7*T2^11 + 12*T1^8*T2^11 + 
     12*T1^9*T2^11 - 24*T1^10*T2^11 + 12*T1^11*T2^11 - 4*T1^12*T2^11 + 
     T1^6*T2^12 - 4*T1^7*T2^12 + 10*T1^8*T2^12 - 13*T1^9*T2^12 + 
     10*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 373] -> 
  {-((1 - 8*T + 18*T^2 - 23*T^3 + 18*T^4 - 8*T^5 + T^6)/T^3), 
   -((2 - 16*T1 + 36*T1^2 - 46*T1^3 + 36*T1^4 - 16*T1^5 + 2*T1^6 - 16*T2 + 
      118*T1*T2 - 160*T1^2*T2 + 78*T1^3*T2 + 78*T1^4*T2 - 160*T1^5*T2 + 
      118*T1^6*T2 - 16*T1^7*T2 + 36*T2^2 - 160*T1*T2^2 - 442*T1^2*T2^2 + 
      1354*T1^3*T2^2 - 1830*T1^4*T2^2 + 1354*T1^5*T2^2 - 442*T1^6*T2^2 - 
      160*T1^7*T2^2 + 36*T1^8*T2^2 - 46*T2^3 + 78*T1*T2^3 + 1354*T1^2*T2^3 - 
      1988*T1^3*T2^3 + 1017*T1^4*T2^3 + 1017*T1^5*T2^3 - 1988*T1^6*T2^3 + 
      1354*T1^7*T2^3 + 78*T1^8*T2^3 - 46*T1^9*T2^3 + 36*T2^4 + 78*T1*T2^4 - 
      1830*T1^2*T2^4 + 1017*T1^3*T2^4 + 933*T1^4*T2^4 - 2225*T1^5*T2^4 + 
      933*T1^6*T2^4 + 1017*T1^7*T2^4 - 1830*T1^8*T2^4 + 78*T1^9*T2^4 + 
      36*T1^10*T2^4 - 16*T2^5 - 160*T1*T2^5 + 1354*T1^2*T2^5 + 
      1017*T1^3*T2^5 - 2225*T1^4*T2^5 + 1366*T1^5*T2^5 + 1366*T1^6*T2^5 - 
      2225*T1^7*T2^5 + 1017*T1^8*T2^5 + 1354*T1^9*T2^5 - 160*T1^10*T2^5 - 
      16*T1^11*T2^5 + 2*T2^6 + 118*T1*T2^6 - 442*T1^2*T2^6 - 1988*T1^3*T2^6 + 
      933*T1^4*T2^6 + 1366*T1^5*T2^6 - 3036*T1^6*T2^6 + 1366*T1^7*T2^6 + 
      933*T1^8*T2^6 - 1988*T1^9*T2^6 - 442*T1^10*T2^6 + 118*T1^11*T2^6 + 
      2*T1^12*T2^6 - 16*T1*T2^7 - 160*T1^2*T2^7 + 1354*T1^3*T2^7 + 
      1017*T1^4*T2^7 - 2225*T1^5*T2^7 + 1366*T1^6*T2^7 + 1366*T1^7*T2^7 - 
      2225*T1^8*T2^7 + 1017*T1^9*T2^7 + 1354*T1^10*T2^7 - 160*T1^11*T2^7 - 
      16*T1^12*T2^7 + 36*T1^2*T2^8 + 78*T1^3*T2^8 - 1830*T1^4*T2^8 + 
      1017*T1^5*T2^8 + 933*T1^6*T2^8 - 2225*T1^7*T2^8 + 933*T1^8*T2^8 + 
      1017*T1^9*T2^8 - 1830*T1^10*T2^8 + 78*T1^11*T2^8 + 36*T1^12*T2^8 - 
      46*T1^3*T2^9 + 78*T1^4*T2^9 + 1354*T1^5*T2^9 - 1988*T1^6*T2^9 + 
      1017*T1^7*T2^9 + 1017*T1^8*T2^9 - 1988*T1^9*T2^9 + 1354*T1^10*T2^9 + 
      78*T1^11*T2^9 - 46*T1^12*T2^9 + 36*T1^4*T2^10 - 160*T1^5*T2^10 - 
      442*T1^6*T2^10 + 1354*T1^7*T2^10 - 1830*T1^8*T2^10 + 1354*T1^9*T2^10 - 
      442*T1^10*T2^10 - 160*T1^11*T2^10 + 36*T1^12*T2^10 - 16*T1^5*T2^11 + 
      118*T1^6*T2^11 - 160*T1^7*T2^11 + 78*T1^8*T2^11 + 78*T1^9*T2^11 - 
      160*T1^10*T2^11 + 118*T1^11*T2^11 - 16*T1^12*T2^11 + 2*T1^6*T2^12 - 
      16*T1^7*T2^12 + 36*T1^8*T2^12 - 46*T1^9*T2^12 + 36*T1^10*T2^12 - 
      16*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 374] -> 
  {(2 - 3*T + 6*T^3 - 9*T^4 + 6*T^5 - 3*T^7 + 2*T^8)/T^4, 
   (33 - 49*T1 + 98*T1^3 - 147*T1^4 + 98*T1^5 - 49*T1^7 + 33*T1^8 - 49*T2 + 
     24*T1*T2 + 73*T1^2*T2 - 146*T1^3*T2 + 73*T1^4*T2 + 73*T1^5*T2 - 
     146*T1^6*T2 + 73*T1^7*T2 + 24*T1^8*T2 - 49*T1^9*T2 + 73*T1*T2^2 - 
     105*T1^2*T2^2 - 2*T1^3*T2^2 + 208*T1^4*T2^2 - 309*T1^5*T2^2 + 
     208*T1^6*T2^2 - 2*T1^7*T2^2 - 105*T1^8*T2^2 + 73*T1^9*T2^2 + 98*T2^3 - 
     146*T1*T2^3 - 2*T1^2*T2^3 + 326*T1^3*T2^3 - 465*T1^4*T2^3 + 
     227*T1^5*T2^3 + 227*T1^6*T2^3 - 465*T1^7*T2^3 + 326*T1^8*T2^3 - 
     2*T1^9*T2^3 - 146*T1^10*T2^3 + 98*T1^11*T2^3 - 147*T2^4 + 73*T1*T2^4 + 
     208*T1^2*T2^4 - 465*T1^3*T2^4 + 206*T1^4*T2^4 + 338*T1^5*T2^4 - 
     654*T1^6*T2^4 + 338*T1^7*T2^4 + 206*T1^8*T2^4 - 465*T1^9*T2^4 + 
     208*T1^10*T2^4 + 73*T1^11*T2^4 - 147*T1^12*T2^4 + 98*T2^5 + 73*T1*T2^5 - 
     309*T1^2*T2^5 + 227*T1^3*T2^5 + 338*T1^4*T2^5 - 688*T1^5*T2^5 + 
     375*T1^6*T2^5 + 375*T1^7*T2^5 - 688*T1^8*T2^5 + 338*T1^9*T2^5 + 
     227*T1^10*T2^5 - 309*T1^11*T2^5 + 73*T1^12*T2^5 + 98*T1^13*T2^5 - 
     146*T1*T2^6 + 208*T1^2*T2^6 + 227*T1^3*T2^6 - 654*T1^4*T2^6 + 
     375*T1^5*T2^6 + 475*T1^6*T2^6 - 943*T1^7*T2^6 + 475*T1^8*T2^6 + 
     375*T1^9*T2^6 - 654*T1^10*T2^6 + 227*T1^11*T2^6 + 208*T1^12*T2^6 - 
     146*T1^13*T2^6 - 49*T2^7 + 73*T1*T2^7 - 2*T1^2*T2^7 - 465*T1^3*T2^7 + 
     338*T1^4*T2^7 + 375*T1^5*T2^7 - 943*T1^6*T2^7 + 480*T1^7*T2^7 + 
     480*T1^8*T2^7 - 943*T1^9*T2^7 + 375*T1^10*T2^7 + 338*T1^11*T2^7 - 
     465*T1^12*T2^7 - 2*T1^13*T2^7 + 73*T1^14*T2^7 - 49*T1^15*T2^7 + 
     33*T2^8 + 24*T1*T2^8 - 105*T1^2*T2^8 + 326*T1^3*T2^8 + 206*T1^4*T2^8 - 
     688*T1^5*T2^8 + 475*T1^6*T2^8 + 480*T1^7*T2^8 - 948*T1^8*T2^8 + 
     480*T1^9*T2^8 + 475*T1^10*T2^8 - 688*T1^11*T2^8 + 206*T1^12*T2^8 + 
     326*T1^13*T2^8 - 105*T1^14*T2^8 + 24*T1^15*T2^8 + 33*T1^16*T2^8 - 
     49*T1*T2^9 + 73*T1^2*T2^9 - 2*T1^3*T2^9 - 465*T1^4*T2^9 + 
     338*T1^5*T2^9 + 375*T1^6*T2^9 - 943*T1^7*T2^9 + 480*T1^8*T2^9 + 
     480*T1^9*T2^9 - 943*T1^10*T2^9 + 375*T1^11*T2^9 + 338*T1^12*T2^9 - 
     465*T1^13*T2^9 - 2*T1^14*T2^9 + 73*T1^15*T2^9 - 49*T1^16*T2^9 - 
     146*T1^3*T2^10 + 208*T1^4*T2^10 + 227*T1^5*T2^10 - 654*T1^6*T2^10 + 
     375*T1^7*T2^10 + 475*T1^8*T2^10 - 943*T1^9*T2^10 + 475*T1^10*T2^10 + 
     375*T1^11*T2^10 - 654*T1^12*T2^10 + 227*T1^13*T2^10 + 208*T1^14*T2^10 - 
     146*T1^15*T2^10 + 98*T1^3*T2^11 + 73*T1^4*T2^11 - 309*T1^5*T2^11 + 
     227*T1^6*T2^11 + 338*T1^7*T2^11 - 688*T1^8*T2^11 + 375*T1^9*T2^11 + 
     375*T1^10*T2^11 - 688*T1^11*T2^11 + 338*T1^12*T2^11 + 227*T1^13*T2^11 - 
     309*T1^14*T2^11 + 73*T1^15*T2^11 + 98*T1^16*T2^11 - 147*T1^4*T2^12 + 
     73*T1^5*T2^12 + 208*T1^6*T2^12 - 465*T1^7*T2^12 + 206*T1^8*T2^12 + 
     338*T1^9*T2^12 - 654*T1^10*T2^12 + 338*T1^11*T2^12 + 206*T1^12*T2^12 - 
     465*T1^13*T2^12 + 208*T1^14*T2^12 + 73*T1^15*T2^12 - 147*T1^16*T2^12 + 
     98*T1^5*T2^13 - 146*T1^6*T2^13 - 2*T1^7*T2^13 + 326*T1^8*T2^13 - 
     465*T1^9*T2^13 + 227*T1^10*T2^13 + 227*T1^11*T2^13 - 465*T1^12*T2^13 + 
     326*T1^13*T2^13 - 2*T1^14*T2^13 - 146*T1^15*T2^13 + 98*T1^16*T2^13 + 
     73*T1^7*T2^14 - 105*T1^8*T2^14 - 2*T1^9*T2^14 + 208*T1^10*T2^14 - 
     309*T1^11*T2^14 + 208*T1^12*T2^14 - 2*T1^13*T2^14 - 105*T1^14*T2^14 + 
     73*T1^15*T2^14 - 49*T1^7*T2^15 + 24*T1^8*T2^15 + 73*T1^9*T2^15 - 
     146*T1^10*T2^15 + 73*T1^11*T2^15 + 73*T1^12*T2^15 - 146*T1^13*T2^15 + 
     73*T1^14*T2^15 + 24*T1^15*T2^15 - 49*T1^16*T2^15 + 33*T1^8*T2^16 - 
     49*T1^9*T2^16 + 98*T1^11*T2^16 - 147*T1^12*T2^16 + 98*T1^13*T2^16 - 
     49*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 375] -> 
  {-(((1 - T + T^2)*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^3), 
   -((2 - 12*T1 + 26*T1^2 - 34*T1^3 + 26*T1^4 - 12*T1^5 + 2*T1^6 - 12*T2 + 
      62*T1*T2 - 86*T1^2*T2 + 50*T1^3*T2 + 50*T1^4*T2 - 86*T1^5*T2 + 
      62*T1^6*T2 - 12*T1^7*T2 + 26*T2^2 - 86*T1*T2^2 - 80*T1^2*T2^2 + 
      364*T1^3*T2^2 - 590*T1^4*T2^2 + 364*T1^5*T2^2 - 80*T1^6*T2^2 - 
      86*T1^7*T2^2 + 26*T1^8*T2^2 - 34*T2^3 + 50*T1*T2^3 + 364*T1^2*T2^3 - 
      592*T1^3*T2^3 + 418*T1^4*T2^3 + 418*T1^5*T2^3 - 592*T1^6*T2^3 + 
      364*T1^7*T2^3 + 50*T1^8*T2^3 - 34*T1^9*T2^3 + 26*T2^4 + 50*T1*T2^4 - 
      590*T1^2*T2^4 + 418*T1^3*T2^4 + 147*T1^4*T2^4 - 917*T1^5*T2^4 + 
      147*T1^6*T2^4 + 418*T1^7*T2^4 - 590*T1^8*T2^4 + 50*T1^9*T2^4 + 
      26*T1^10*T2^4 - 12*T2^5 - 86*T1*T2^5 + 364*T1^2*T2^5 + 418*T1^3*T2^5 - 
      917*T1^4*T2^5 + 830*T1^5*T2^5 + 830*T1^6*T2^5 - 917*T1^7*T2^5 + 
      418*T1^8*T2^5 + 364*T1^9*T2^5 - 86*T1^10*T2^5 - 12*T1^11*T2^5 + 
      2*T2^6 + 62*T1*T2^6 - 80*T1^2*T2^6 - 592*T1^3*T2^6 + 147*T1^4*T2^6 + 
      830*T1^5*T2^6 - 2088*T1^6*T2^6 + 830*T1^7*T2^6 + 147*T1^8*T2^6 - 
      592*T1^9*T2^6 - 80*T1^10*T2^6 + 62*T1^11*T2^6 + 2*T1^12*T2^6 - 
      12*T1*T2^7 - 86*T1^2*T2^7 + 364*T1^3*T2^7 + 418*T1^4*T2^7 - 
      917*T1^5*T2^7 + 830*T1^6*T2^7 + 830*T1^7*T2^7 - 917*T1^8*T2^7 + 
      418*T1^9*T2^7 + 364*T1^10*T2^7 - 86*T1^11*T2^7 - 12*T1^12*T2^7 + 
      26*T1^2*T2^8 + 50*T1^3*T2^8 - 590*T1^4*T2^8 + 418*T1^5*T2^8 + 
      147*T1^6*T2^8 - 917*T1^7*T2^8 + 147*T1^8*T2^8 + 418*T1^9*T2^8 - 
      590*T1^10*T2^8 + 50*T1^11*T2^8 + 26*T1^12*T2^8 - 34*T1^3*T2^9 + 
      50*T1^4*T2^9 + 364*T1^5*T2^9 - 592*T1^6*T2^9 + 418*T1^7*T2^9 + 
      418*T1^8*T2^9 - 592*T1^9*T2^9 + 364*T1^10*T2^9 + 50*T1^11*T2^9 - 
      34*T1^12*T2^9 + 26*T1^4*T2^10 - 86*T1^5*T2^10 - 80*T1^6*T2^10 + 
      364*T1^7*T2^10 - 590*T1^8*T2^10 + 364*T1^9*T2^10 - 80*T1^10*T2^10 - 
      86*T1^11*T2^10 + 26*T1^12*T2^10 - 12*T1^5*T2^11 + 62*T1^6*T2^11 - 
      86*T1^7*T2^11 + 50*T1^8*T2^11 + 50*T1^9*T2^11 - 86*T1^10*T2^11 + 
      62*T1^11*T2^11 - 12*T1^12*T2^11 + 2*T1^6*T2^12 - 12*T1^7*T2^12 + 
      26*T1^8*T2^12 - 34*T1^9*T2^12 + 26*T1^10*T2^12 - 12*T1^11*T2^12 + 
      2*T1^12*T2^12)/(T1^6*T2^6))}, 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), -((1 - 4*T1 + 10*T1^2 - 19*T1^3 + 23*T1^4 - 19*T1^5 + 10*T1^6 - 
      4*T1^7 + T1^8 - 4*T2 + 12*T1*T2 - 24*T1^2*T2 + 36*T1^3*T2 - 
      16*T1^4*T2 - 16*T1^5*T2 + 36*T1^6*T2 - 24*T1^7*T2 + 12*T1^8*T2 - 
      4*T1^9*T2 + 10*T2^2 - 24*T1*T2^2 + 46*T1^2*T2^2 - 68*T1^3*T2^2 + 
      14*T1^4*T2^2 + 8*T1^5*T2^2 + 14*T1^6*T2^2 - 68*T1^7*T2^2 + 
      46*T1^8*T2^2 - 24*T1^9*T2^2 + 10*T1^10*T2^2 - 19*T2^3 + 36*T1*T2^3 - 
      68*T1^2*T2^3 + 88*T1^3*T2^3 + 45*T1^4*T2^3 - 25*T1^5*T2^3 - 
      25*T1^6*T2^3 + 45*T1^7*T2^3 + 88*T1^8*T2^3 - 68*T1^9*T2^3 + 
      36*T1^10*T2^3 - 19*T1^11*T2^3 + 23*T2^4 - 16*T1*T2^4 + 14*T1^2*T2^4 + 
      45*T1^3*T2^4 - 278*T1^4*T2^4 + 82*T1^5*T2^4 - 4*T1^6*T2^4 + 
      82*T1^7*T2^4 - 278*T1^8*T2^4 + 45*T1^9*T2^4 + 14*T1^10*T2^4 - 
      16*T1^11*T2^4 + 23*T1^12*T2^4 - 19*T2^5 - 16*T1*T2^5 + 8*T1^2*T2^5 - 
      25*T1^3*T2^5 + 82*T1^4*T2^5 + 426*T1^5*T2^5 - 219*T1^6*T2^5 - 
      219*T1^7*T2^5 + 426*T1^8*T2^5 + 82*T1^9*T2^5 - 25*T1^10*T2^5 + 
      8*T1^11*T2^5 - 16*T1^12*T2^5 - 19*T1^13*T2^5 + 10*T2^6 + 36*T1*T2^6 + 
      14*T1^2*T2^6 - 25*T1^3*T2^6 - 4*T1^4*T2^6 - 219*T1^5*T2^6 - 
      790*T1^6*T2^6 + 1260*T1^7*T2^6 - 790*T1^8*T2^6 - 219*T1^9*T2^6 - 
      4*T1^10*T2^6 - 25*T1^11*T2^6 + 14*T1^12*T2^6 + 36*T1^13*T2^6 + 
      10*T1^14*T2^6 - 4*T2^7 - 24*T1*T2^7 - 68*T1^2*T2^7 + 45*T1^3*T2^7 + 
      82*T1^4*T2^7 - 219*T1^5*T2^7 + 1260*T1^6*T2^7 - 642*T1^7*T2^7 - 
      642*T1^8*T2^7 + 1260*T1^9*T2^7 - 219*T1^10*T2^7 + 82*T1^11*T2^7 + 
      45*T1^12*T2^7 - 68*T1^13*T2^7 - 24*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 
      12*T1*T2^8 + 46*T1^2*T2^8 + 88*T1^3*T2^8 - 278*T1^4*T2^8 + 
      426*T1^5*T2^8 - 790*T1^6*T2^8 - 642*T1^7*T2^8 + 1356*T1^8*T2^8 - 
      642*T1^9*T2^8 - 790*T1^10*T2^8 + 426*T1^11*T2^8 - 278*T1^12*T2^8 + 
      88*T1^13*T2^8 + 46*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 
      4*T1*T2^9 - 24*T1^2*T2^9 - 68*T1^3*T2^9 + 45*T1^4*T2^9 + 82*T1^5*T2^9 - 
      219*T1^6*T2^9 + 1260*T1^7*T2^9 - 642*T1^8*T2^9 - 642*T1^9*T2^9 + 
      1260*T1^10*T2^9 - 219*T1^11*T2^9 + 82*T1^12*T2^9 + 45*T1^13*T2^9 - 
      68*T1^14*T2^9 - 24*T1^15*T2^9 - 4*T1^16*T2^9 + 10*T1^2*T2^10 + 
      36*T1^3*T2^10 + 14*T1^4*T2^10 - 25*T1^5*T2^10 - 4*T1^6*T2^10 - 
      219*T1^7*T2^10 - 790*T1^8*T2^10 + 1260*T1^9*T2^10 - 790*T1^10*T2^10 - 
      219*T1^11*T2^10 - 4*T1^12*T2^10 - 25*T1^13*T2^10 + 14*T1^14*T2^10 + 
      36*T1^15*T2^10 + 10*T1^16*T2^10 - 19*T1^3*T2^11 - 16*T1^4*T2^11 + 
      8*T1^5*T2^11 - 25*T1^6*T2^11 + 82*T1^7*T2^11 + 426*T1^8*T2^11 - 
      219*T1^9*T2^11 - 219*T1^10*T2^11 + 426*T1^11*T2^11 + 82*T1^12*T2^11 - 
      25*T1^13*T2^11 + 8*T1^14*T2^11 - 16*T1^15*T2^11 - 19*T1^16*T2^11 + 
      23*T1^4*T2^12 - 16*T1^5*T2^12 + 14*T1^6*T2^12 + 45*T1^7*T2^12 - 
      278*T1^8*T2^12 + 82*T1^9*T2^12 - 4*T1^10*T2^12 + 82*T1^11*T2^12 - 
      278*T1^12*T2^12 + 45*T1^13*T2^12 + 14*T1^14*T2^12 - 16*T1^15*T2^12 + 
      23*T1^16*T2^12 - 19*T1^5*T2^13 + 36*T1^6*T2^13 - 68*T1^7*T2^13 + 
      88*T1^8*T2^13 + 45*T1^9*T2^13 - 25*T1^10*T2^13 - 25*T1^11*T2^13 + 
      45*T1^12*T2^13 + 88*T1^13*T2^13 - 68*T1^14*T2^13 + 36*T1^15*T2^13 - 
      19*T1^16*T2^13 + 10*T1^6*T2^14 - 24*T1^7*T2^14 + 46*T1^8*T2^14 - 
      68*T1^9*T2^14 + 14*T1^10*T2^14 + 8*T1^11*T2^14 + 14*T1^12*T2^14 - 
      68*T1^13*T2^14 + 46*T1^14*T2^14 - 24*T1^15*T2^14 + 10*T1^16*T2^14 - 
      4*T1^7*T2^15 + 12*T1^8*T2^15 - 24*T1^9*T2^15 + 36*T1^10*T2^15 - 
      16*T1^11*T2^15 - 16*T1^12*T2^15 + 36*T1^13*T2^15 - 24*T1^14*T2^15 + 
      12*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 
      10*T1^10*T2^16 - 19*T1^11*T2^16 + 23*T1^12*T2^16 - 19*T1^13*T2^16 + 
      10*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 377] -> 
  {((1 - T + T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3, 
   -((1 - 4*T1 + 9*T1^2 - 11*T1^3 + 9*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 
      12*T1*T2 - 19*T1^2*T2 + 8*T1^3*T2 + 8*T1^4*T2 - 19*T1^5*T2 + 
      12*T1^6*T2 - 4*T1^7*T2 + 9*T2^2 - 19*T1*T2^2 + 13*T1^2*T2^2 + 
      29*T1^3*T2^2 - 47*T1^4*T2^2 + 29*T1^5*T2^2 + 13*T1^6*T2^2 - 
      19*T1^7*T2^2 + 9*T1^8*T2^2 - 11*T2^3 + 8*T1*T2^3 + 29*T1^2*T2^3 - 
      80*T1^3*T2^3 + 41*T1^4*T2^3 + 41*T1^5*T2^3 - 80*T1^6*T2^3 + 
      29*T1^7*T2^3 + 8*T1^8*T2^3 - 11*T1^9*T2^3 + 9*T2^4 + 8*T1*T2^4 - 
      47*T1^2*T2^4 + 41*T1^3*T2^4 + 64*T1^4*T2^4 - 132*T1^5*T2^4 + 
      64*T1^6*T2^4 + 41*T1^7*T2^4 - 47*T1^8*T2^4 + 8*T1^9*T2^4 + 
      9*T1^10*T2^4 - 4*T2^5 - 19*T1*T2^5 + 29*T1^2*T2^5 + 41*T1^3*T2^5 - 
      132*T1^4*T2^5 + 88*T1^5*T2^5 + 88*T1^6*T2^5 - 132*T1^7*T2^5 + 
      41*T1^8*T2^5 + 29*T1^9*T2^5 - 19*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 
      12*T1*T2^6 + 13*T1^2*T2^6 - 80*T1^3*T2^6 + 64*T1^4*T2^6 + 
      88*T1^5*T2^6 - 216*T1^6*T2^6 + 88*T1^7*T2^6 + 64*T1^8*T2^6 - 
      80*T1^9*T2^6 + 13*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 
      19*T1^2*T2^7 + 29*T1^3*T2^7 + 41*T1^4*T2^7 - 132*T1^5*T2^7 + 
      88*T1^6*T2^7 + 88*T1^7*T2^7 - 132*T1^8*T2^7 + 41*T1^9*T2^7 + 
      29*T1^10*T2^7 - 19*T1^11*T2^7 - 4*T1^12*T2^7 + 9*T1^2*T2^8 + 
      8*T1^3*T2^8 - 47*T1^4*T2^8 + 41*T1^5*T2^8 + 64*T1^6*T2^8 - 
      132*T1^7*T2^8 + 64*T1^8*T2^8 + 41*T1^9*T2^8 - 47*T1^10*T2^8 + 
      8*T1^11*T2^8 + 9*T1^12*T2^8 - 11*T1^3*T2^9 + 8*T1^4*T2^9 + 
      29*T1^5*T2^9 - 80*T1^6*T2^9 + 41*T1^7*T2^9 + 41*T1^8*T2^9 - 
      80*T1^9*T2^9 + 29*T1^10*T2^9 + 8*T1^11*T2^9 - 11*T1^12*T2^9 + 
      9*T1^4*T2^10 - 19*T1^5*T2^10 + 13*T1^6*T2^10 + 29*T1^7*T2^10 - 
      47*T1^8*T2^10 + 29*T1^9*T2^10 + 13*T1^10*T2^10 - 19*T1^11*T2^10 + 
      9*T1^12*T2^10 - 4*T1^5*T2^11 + 12*T1^6*T2^11 - 19*T1^7*T2^11 + 
      8*T1^8*T2^11 + 8*T1^9*T2^11 - 19*T1^10*T2^11 + 12*T1^11*T2^11 - 
      4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 9*T1^8*T2^12 - 
      11*T1^9*T2^12 + 9*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, NonAlternating, 378] -> 
  {(3 - 12*T + 24*T^2 - 29*T^3 + 24*T^4 - 12*T^5 + 3*T^6)/T^3, 
   -((30 - 117*T1 + 228*T1^2 - 272*T1^3 + 228*T1^4 - 117*T1^5 + 30*T1^6 - 
      117*T2 + 342*T1*T2 - 439*T1^2*T2 + 176*T1^3*T2 + 176*T1^4*T2 - 
      439*T1^5*T2 + 342*T1^6*T2 - 117*T1^7*T2 + 228*T2^2 - 439*T1*T2^2 + 
      186*T1^2*T2^2 + 544*T1^3*T2^2 - 746*T1^4*T2^2 + 544*T1^5*T2^2 + 
      186*T1^6*T2^2 - 439*T1^7*T2^2 + 228*T1^8*T2^2 - 272*T2^3 + 
      176*T1*T2^3 + 544*T1^2*T2^3 - 1226*T1^3*T2^3 + 417*T1^4*T2^3 + 
      417*T1^5*T2^3 - 1226*T1^6*T2^3 + 544*T1^7*T2^3 + 176*T1^8*T2^3 - 
      272*T1^9*T2^3 + 228*T2^4 + 176*T1*T2^4 - 746*T1^2*T2^4 + 
      417*T1^3*T2^4 + 1504*T1^4*T2^4 - 1872*T1^5*T2^4 + 1504*T1^6*T2^4 + 
      417*T1^7*T2^4 - 746*T1^8*T2^4 + 176*T1^9*T2^4 + 228*T1^10*T2^4 - 
      117*T2^5 - 439*T1*T2^5 + 544*T1^2*T2^5 + 417*T1^3*T2^5 - 
      1872*T1^4*T2^5 + 582*T1^5*T2^5 + 582*T1^6*T2^5 - 1872*T1^7*T2^5 + 
      417*T1^8*T2^5 + 544*T1^9*T2^5 - 439*T1^10*T2^5 - 117*T1^11*T2^5 + 
      30*T2^6 + 342*T1*T2^6 + 186*T1^2*T2^6 - 1226*T1^3*T2^6 + 
      1504*T1^4*T2^6 + 582*T1^5*T2^6 - 876*T1^6*T2^6 + 582*T1^7*T2^6 + 
      1504*T1^8*T2^6 - 1226*T1^9*T2^6 + 186*T1^10*T2^6 + 342*T1^11*T2^6 + 
      30*T1^12*T2^6 - 117*T1*T2^7 - 439*T1^2*T2^7 + 544*T1^3*T2^7 + 
      417*T1^4*T2^7 - 1872*T1^5*T2^7 + 582*T1^6*T2^7 + 582*T1^7*T2^7 - 
      1872*T1^8*T2^7 + 417*T1^9*T2^7 + 544*T1^10*T2^7 - 439*T1^11*T2^7 - 
      117*T1^12*T2^7 + 228*T1^2*T2^8 + 176*T1^3*T2^8 - 746*T1^4*T2^8 + 
      417*T1^5*T2^8 + 1504*T1^6*T2^8 - 1872*T1^7*T2^8 + 1504*T1^8*T2^8 + 
      417*T1^9*T2^8 - 746*T1^10*T2^8 + 176*T1^11*T2^8 + 228*T1^12*T2^8 - 
      272*T1^3*T2^9 + 176*T1^4*T2^9 + 544*T1^5*T2^9 - 1226*T1^6*T2^9 + 
      417*T1^7*T2^9 + 417*T1^8*T2^9 - 1226*T1^9*T2^9 + 544*T1^10*T2^9 + 
      176*T1^11*T2^9 - 272*T1^12*T2^9 + 228*T1^4*T2^10 - 439*T1^5*T2^10 + 
      186*T1^6*T2^10 + 544*T1^7*T2^10 - 746*T1^8*T2^10 + 544*T1^9*T2^10 + 
      186*T1^10*T2^10 - 439*T1^11*T2^10 + 228*T1^12*T2^10 - 117*T1^5*T2^11 + 
      342*T1^6*T2^11 - 439*T1^7*T2^11 + 176*T1^8*T2^11 + 176*T1^9*T2^11 - 
      439*T1^10*T2^11 + 342*T1^11*T2^11 - 117*T1^12*T2^11 + 30*T1^6*T2^12 - 
      117*T1^7*T2^12 + 228*T1^8*T2^12 - 272*T1^9*T2^12 + 228*T1^10*T2^12 - 
      117*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6))}, 
 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)*
      (9 - 22*T1 + 31*T1^2 - 22*T1^3 + 9*T1^4 - 22*T2 + 32*T1*T2 - 
       22*T1^2*T2 - 22*T1^3*T2 + 32*T1^4*T2 - 22*T1^5*T2 + 31*T2^2 - 
       22*T1*T2^2 + 51*T1^2*T2^2 - 43*T1^3*T2^2 + 51*T1^4*T2^2 - 
       22*T1^5*T2^2 + 31*T1^6*T2^2 - 22*T2^3 - 22*T1*T2^3 - 43*T1^2*T2^3 + 
       8*T1^3*T2^3 + 8*T1^4*T2^3 - 43*T1^5*T2^3 - 22*T1^6*T2^3 - 
       22*T1^7*T2^3 + 9*T2^4 + 32*T1*T2^4 + 51*T1^2*T2^4 + 8*T1^3*T2^4 + 
       8*T1^5*T2^4 + 51*T1^6*T2^4 + 32*T1^7*T2^4 + 9*T1^8*T2^4 - 22*T1*T2^5 - 
       22*T1^2*T2^5 - 43*T1^3*T2^5 + 8*T1^4*T2^5 + 8*T1^5*T2^5 - 
       43*T1^6*T2^5 - 22*T1^7*T2^5 - 22*T1^8*T2^5 + 31*T1^2*T2^6 - 
       22*T1^3*T2^6 + 51*T1^4*T2^6 - 43*T1^5*T2^6 + 51*T1^6*T2^6 - 
       22*T1^7*T2^6 + 31*T1^8*T2^6 - 22*T1^3*T2^7 + 32*T1^4*T2^7 - 
       22*T1^5*T2^7 - 22*T1^6*T2^7 + 32*T1^7*T2^7 - 22*T1^8*T2^7 + 
       9*T1^4*T2^8 - 22*T1^5*T2^8 + 31*T1^6*T2^8 - 22*T1^7*T2^8 + 
       9*T1^8*T2^8))/(T1^6*T2^6))}, 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)*
     (1 - 2*T1 + T1^2 - 2*T1^3 + T1^4 - 2*T2 + 4*T1*T2 - 2*T1^2*T2 - 
      2*T1^3*T2 + 4*T1^4*T2 - 2*T1^5*T2 + T2^2 - 2*T1*T2^2 - 7*T1^2*T2^2 + 
      33*T1^3*T2^2 - 7*T1^4*T2^2 - 2*T1^5*T2^2 + T1^6*T2^2 - 2*T2^3 - 
      2*T1*T2^3 + 33*T1^2*T2^3 - 56*T1^3*T2^3 - 56*T1^4*T2^3 + 33*T1^5*T2^3 - 
      2*T1^6*T2^3 - 2*T1^7*T2^3 + T2^4 + 4*T1*T2^4 - 7*T1^2*T2^4 - 
      56*T1^3*T2^4 + 192*T1^4*T2^4 - 56*T1^5*T2^4 - 7*T1^6*T2^4 + 
      4*T1^7*T2^4 + T1^8*T2^4 - 2*T1*T2^5 - 2*T1^2*T2^5 + 33*T1^3*T2^5 - 
      56*T1^4*T2^5 - 56*T1^5*T2^5 + 33*T1^6*T2^5 - 2*T1^7*T2^5 - 
      2*T1^8*T2^5 + T1^2*T2^6 - 2*T1^3*T2^6 - 7*T1^4*T2^6 + 33*T1^5*T2^6 - 
      7*T1^6*T2^6 - 2*T1^7*T2^6 + T1^8*T2^6 - 2*T1^3*T2^7 + 4*T1^4*T2^7 - 
      2*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))/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 381] -> 
  {-((3 - 15*T + 23*T^2 - 15*T^3 + 3*T^4)/T^2), 
   -((36 - 183*T1 + 278*T1^2 - 183*T1^3 + 36*T1^4 - 183*T2 + 756*T1*T2 - 
      491*T1^2*T2 - 491*T1^3*T2 + 756*T1^4*T2 - 183*T1^5*T2 + 278*T2^2 - 
      491*T1*T2^2 - 2319*T1^2*T2^2 + 4413*T1^3*T2^2 - 2319*T1^4*T2^2 - 
      491*T1^5*T2^2 + 278*T1^6*T2^2 - 183*T2^3 - 491*T1*T2^3 + 
      4413*T1^2*T2^3 - 3054*T1^3*T2^3 - 3054*T1^4*T2^3 + 4413*T1^5*T2^3 - 
      491*T1^6*T2^3 - 183*T1^7*T2^3 + 36*T2^4 + 756*T1*T2^4 - 
      2319*T1^2*T2^4 - 3054*T1^3*T2^4 + 7428*T1^4*T2^4 - 3054*T1^5*T2^4 - 
      2319*T1^6*T2^4 + 756*T1^7*T2^4 + 36*T1^8*T2^4 - 183*T1*T2^5 - 
      491*T1^2*T2^5 + 4413*T1^3*T2^5 - 3054*T1^4*T2^5 - 3054*T1^5*T2^5 + 
      4413*T1^6*T2^5 - 491*T1^7*T2^5 - 183*T1^8*T2^5 + 278*T1^2*T2^6 - 
      491*T1^3*T2^6 - 2319*T1^4*T2^6 + 4413*T1^5*T2^6 - 2319*T1^6*T2^6 - 
      491*T1^7*T2^6 + 278*T1^8*T2^6 - 183*T1^3*T2^7 + 756*T1^4*T2^7 - 
      491*T1^5*T2^7 - 491*T1^6*T2^7 + 756*T1^7*T2^7 - 183*T1^8*T2^7 + 
      36*T1^4*T2^8 - 183*T1^5*T2^8 + 278*T1^6*T2^8 - 183*T1^7*T2^8 + 
      36*T1^8*T2^8)/(T1^4*T2^4))}, Knot[12, NonAlternating, 382] -> 
  {-((1 - 5*T + 7*T^2 - 5*T^3 + T^4)/T^2), 
   -((1 - 4*T1 + 7*T1^2 - 4*T1^3 + T1^4 - 4*T2 + 10*T1*T2 - 7*T1^2*T2 - 
      7*T1^3*T2 + 10*T1^4*T2 - 4*T1^5*T2 + 7*T2^2 - 7*T1*T2^2 - 
      16*T1^2*T2^2 + 30*T1^3*T2^2 - 16*T1^4*T2^2 - 7*T1^5*T2^2 + 
      7*T1^6*T2^2 - 4*T2^3 - 7*T1*T2^3 + 30*T1^2*T2^3 - 18*T1^3*T2^3 - 
      18*T1^4*T2^3 + 30*T1^5*T2^3 - 7*T1^6*T2^3 - 4*T1^7*T2^3 + T2^4 + 
      10*T1*T2^4 - 16*T1^2*T2^4 - 18*T1^3*T2^4 + 48*T1^4*T2^4 - 
      18*T1^5*T2^4 - 16*T1^6*T2^4 + 10*T1^7*T2^4 + T1^8*T2^4 - 4*T1*T2^5 - 
      7*T1^2*T2^5 + 30*T1^3*T2^5 - 18*T1^4*T2^5 - 18*T1^5*T2^5 + 
      30*T1^6*T2^5 - 7*T1^7*T2^5 - 4*T1^8*T2^5 + 7*T1^2*T2^6 - 7*T1^3*T2^6 - 
      16*T1^4*T2^6 + 30*T1^5*T2^6 - 16*T1^6*T2^6 - 7*T1^7*T2^6 + 
      7*T1^8*T2^6 - 4*T1^3*T2^7 + 10*T1^4*T2^7 - 7*T1^5*T2^7 - 7*T1^6*T2^7 + 
      10*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)/(T1^4*T2^4))}, 
 Knot[12, NonAlternating, 383] -> 
  {-((3 - 13*T + 19*T^2 - 13*T^3 + 3*T^4)/T^2), 
   (-2*(18 - 80*T1 + 116*T1^2 - 80*T1^3 + 18*T1^4 - 80*T2 + 278*T1*T2 - 
      162*T1^2*T2 - 162*T1^3*T2 + 278*T1^4*T2 - 80*T1^5*T2 + 116*T2^2 - 
      162*T1*T2^2 - 722*T1^2*T2^2 + 1279*T1^3*T2^2 - 722*T1^4*T2^2 - 
      162*T1^5*T2^2 + 116*T1^6*T2^2 - 80*T2^3 - 162*T1*T2^3 + 
      1279*T1^2*T2^3 - 784*T1^3*T2^3 - 784*T1^4*T2^3 + 1279*T1^5*T2^3 - 
      162*T1^6*T2^3 - 80*T1^7*T2^3 + 18*T2^4 + 278*T1*T2^4 - 722*T1^2*T2^4 - 
      784*T1^3*T2^4 + 1794*T1^4*T2^4 - 784*T1^5*T2^4 - 722*T1^6*T2^4 + 
      278*T1^7*T2^4 + 18*T1^8*T2^4 - 80*T1*T2^5 - 162*T1^2*T2^5 + 
      1279*T1^3*T2^5 - 784*T1^4*T2^5 - 784*T1^5*T2^5 + 1279*T1^6*T2^5 - 
      162*T1^7*T2^5 - 80*T1^8*T2^5 + 116*T1^2*T2^6 - 162*T1^3*T2^6 - 
      722*T1^4*T2^6 + 1279*T1^5*T2^6 - 722*T1^6*T2^6 - 162*T1^7*T2^6 + 
      116*T1^8*T2^6 - 80*T1^3*T2^7 + 278*T1^4*T2^7 - 162*T1^5*T2^7 - 
      162*T1^6*T2^7 + 278*T1^7*T2^7 - 80*T1^8*T2^7 + 18*T1^4*T2^8 - 
      80*T1^5*T2^8 + 116*T1^6*T2^8 - 80*T1^7*T2^8 + 18*T1^8*T2^8))/
    (T1^4*T2^4)}, Knot[12, NonAlternating, 384] -> 
  {-((3 - 13*T + 25*T^2 - 31*T^3 + 25*T^4 - 13*T^5 + 3*T^6)/T^3), 
   -((57 - 242*T1 + 457*T1^2 - 565*T1^3 + 457*T1^4 - 242*T1^5 + 57*T1^6 - 
      242*T2 + 788*T1*T2 - 920*T1^2*T2 + 462*T1^3*T2 + 462*T1^4*T2 - 
      920*T1^5*T2 + 788*T1^6*T2 - 242*T1^7*T2 + 457*T2^2 - 920*T1*T2^2 - 
      267*T1^2*T2^2 + 1943*T1^3*T2^2 - 3097*T1^4*T2^2 + 1943*T1^5*T2^2 - 
      267*T1^6*T2^2 - 920*T1^7*T2^2 + 457*T1^8*T2^2 - 565*T2^3 + 
      462*T1*T2^3 + 1943*T1^2*T2^3 - 2824*T1^3*T2^3 + 1793*T1^4*T2^3 + 
      1793*T1^5*T2^3 - 2824*T1^6*T2^3 + 1943*T1^7*T2^3 + 462*T1^8*T2^3 - 
      565*T1^9*T2^3 + 457*T2^4 + 462*T1*T2^4 - 3097*T1^2*T2^4 + 
      1793*T1^3*T2^4 + 668*T1^4*T2^4 - 3396*T1^5*T2^4 + 668*T1^6*T2^4 + 
      1793*T1^7*T2^4 - 3097*T1^8*T2^4 + 462*T1^9*T2^4 + 457*T1^10*T2^4 - 
      242*T2^5 - 920*T1*T2^5 + 1943*T1^2*T2^5 + 1793*T1^3*T2^5 - 
      3396*T1^4*T2^5 + 2750*T1^5*T2^5 + 2750*T1^6*T2^5 - 3396*T1^7*T2^5 + 
      1793*T1^8*T2^5 + 1943*T1^9*T2^5 - 920*T1^10*T2^5 - 242*T1^11*T2^5 + 
      57*T2^6 + 788*T1*T2^6 - 267*T1^2*T2^6 - 2824*T1^3*T2^6 + 
      668*T1^4*T2^6 + 2750*T1^5*T2^6 - 6600*T1^6*T2^6 + 2750*T1^7*T2^6 + 
      668*T1^8*T2^6 - 2824*T1^9*T2^6 - 267*T1^10*T2^6 + 788*T1^11*T2^6 + 
      57*T1^12*T2^6 - 242*T1*T2^7 - 920*T1^2*T2^7 + 1943*T1^3*T2^7 + 
      1793*T1^4*T2^7 - 3396*T1^5*T2^7 + 2750*T1^6*T2^7 + 2750*T1^7*T2^7 - 
      3396*T1^8*T2^7 + 1793*T1^9*T2^7 + 1943*T1^10*T2^7 - 920*T1^11*T2^7 - 
      242*T1^12*T2^7 + 457*T1^2*T2^8 + 462*T1^3*T2^8 - 3097*T1^4*T2^8 + 
      1793*T1^5*T2^8 + 668*T1^6*T2^8 - 3396*T1^7*T2^8 + 668*T1^8*T2^8 + 
      1793*T1^9*T2^8 - 3097*T1^10*T2^8 + 462*T1^11*T2^8 + 457*T1^12*T2^8 - 
      565*T1^3*T2^9 + 462*T1^4*T2^9 + 1943*T1^5*T2^9 - 2824*T1^6*T2^9 + 
      1793*T1^7*T2^9 + 1793*T1^8*T2^9 - 2824*T1^9*T2^9 + 1943*T1^10*T2^9 + 
      462*T1^11*T2^9 - 565*T1^12*T2^9 + 457*T1^4*T2^10 - 920*T1^5*T2^10 - 
      267*T1^6*T2^10 + 1943*T1^7*T2^10 - 3097*T1^8*T2^10 + 1943*T1^9*T2^10 - 
      267*T1^10*T2^10 - 920*T1^11*T2^10 + 457*T1^12*T2^10 - 242*T1^5*T2^11 + 
      788*T1^6*T2^11 - 920*T1^7*T2^11 + 462*T1^8*T2^11 + 462*T1^9*T2^11 - 
      920*T1^10*T2^11 + 788*T1^11*T2^11 - 242*T1^12*T2^11 + 57*T1^6*T2^12 - 
      242*T1^7*T2^12 + 457*T1^8*T2^12 - 565*T1^9*T2^12 + 457*T1^10*T2^12 - 
      242*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 385] -> 
  {-((1 - 7*T + 17*T^2 - 23*T^3 + 17*T^4 - 7*T^5 + T^6)/T^3), 
   -(((1 - T1 + T1^2 - T1*T2 - T1^2*T2 + T1^2*T2^2)*(1 - T2 - T1*T2 + T2^2 - 
       T1*T2^2 + T1^2*T2^2)*(T1 + T1^2 + T2 - 16*T1*T2 + 16*T1^2*T2 - 
       16*T1^3*T2 + T1^4*T2 + T2^2 + 16*T1*T2^2 + 16*T1^4*T2^2 + T1^5*T2^2 - 
       16*T1*T2^3 - 14*T1^3*T2^3 - 16*T1^5*T2^3 + T1*T2^4 + 16*T1^2*T2^4 + 
       16*T1^5*T2^4 + T1^6*T2^4 + T1^2*T2^5 - 16*T1^3*T2^5 + 16*T1^4*T2^5 - 
       16*T1^5*T2^5 + T1^6*T2^5 + T1^4*T2^6 + T1^5*T2^6))/(T1^5*T2^5))}, 
 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)*
     (33 - 32*T1 - 17*T1^2 + 49*T1^3 - 17*T1^4 - 32*T1^5 + 33*T1^6 - 32*T2 + 
      48*T1^2*T2 - 32*T1^3*T2 - 32*T1^4*T2 + 48*T1^5*T2 - 32*T1^7*T2 - 
      17*T2^2 + 48*T1*T2^2 - 41*T1^2*T2^2 - 25*T1^3*T2^2 + 67*T1^4*T2^2 - 
      25*T1^5*T2^2 - 41*T1^6*T2^2 + 48*T1^7*T2^2 - 17*T1^8*T2^2 + 49*T2^3 - 
      32*T1*T2^3 - 25*T1^2*T2^3 + 68*T1^3*T2^3 - 33*T1^4*T2^3 - 
      33*T1^5*T2^3 + 68*T1^6*T2^3 - 25*T1^7*T2^3 - 32*T1^8*T2^3 + 
      49*T1^9*T2^3 - 17*T2^4 - 32*T1*T2^4 + 67*T1^2*T2^4 - 33*T1^3*T2^4 - 
      37*T1^4*T2^4 + 63*T1^5*T2^4 - 37*T1^6*T2^4 - 33*T1^7*T2^4 + 
      67*T1^8*T2^4 - 32*T1^9*T2^4 - 17*T1^10*T2^4 - 32*T2^5 + 48*T1*T2^5 - 
      25*T1^2*T2^5 - 33*T1^3*T2^5 + 63*T1^4*T2^5 - 34*T1^5*T2^5 - 
      34*T1^6*T2^5 + 63*T1^7*T2^5 - 33*T1^8*T2^5 - 25*T1^9*T2^5 + 
      48*T1^10*T2^5 - 32*T1^11*T2^5 + 33*T2^6 - 41*T1^2*T2^6 + 68*T1^3*T2^6 - 
      37*T1^4*T2^6 - 34*T1^5*T2^6 + 84*T1^6*T2^6 - 34*T1^7*T2^6 - 
      37*T1^8*T2^6 + 68*T1^9*T2^6 - 41*T1^10*T2^6 + 33*T1^12*T2^6 - 
      32*T1*T2^7 + 48*T1^2*T2^7 - 25*T1^3*T2^7 - 33*T1^4*T2^7 + 
      63*T1^5*T2^7 - 34*T1^6*T2^7 - 34*T1^7*T2^7 + 63*T1^8*T2^7 - 
      33*T1^9*T2^7 - 25*T1^10*T2^7 + 48*T1^11*T2^7 - 32*T1^12*T2^7 - 
      17*T1^2*T2^8 - 32*T1^3*T2^8 + 67*T1^4*T2^8 - 33*T1^5*T2^8 - 
      37*T1^6*T2^8 + 63*T1^7*T2^8 - 37*T1^8*T2^8 - 33*T1^9*T2^8 + 
      67*T1^10*T2^8 - 32*T1^11*T2^8 - 17*T1^12*T2^8 + 49*T1^3*T2^9 - 
      32*T1^4*T2^9 - 25*T1^5*T2^9 + 68*T1^6*T2^9 - 33*T1^7*T2^9 - 
      33*T1^8*T2^9 + 68*T1^9*T2^9 - 25*T1^10*T2^9 - 32*T1^11*T2^9 + 
      49*T1^12*T2^9 - 17*T1^4*T2^10 + 48*T1^5*T2^10 - 41*T1^6*T2^10 - 
      25*T1^7*T2^10 + 67*T1^8*T2^10 - 25*T1^9*T2^10 - 41*T1^10*T2^10 + 
      48*T1^11*T2^10 - 17*T1^12*T2^10 - 32*T1^5*T2^11 + 48*T1^7*T2^11 - 
      32*T1^8*T2^11 - 32*T1^9*T2^11 + 48*T1^10*T2^11 - 32*T1^12*T2^11 + 
      33*T1^6*T2^12 - 32*T1^7*T2^12 - 17*T1^8*T2^12 + 49*T1^9*T2^12 - 
      17*T1^10*T2^12 - 32*T1^11*T2^12 + 33*T1^12*T2^12))/(T1^8*T2^8)}, 
 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), 
   -((3 - 15*T1 + 18*T1^2 - 6*T1^3 - 3*T1^4 - 6*T1^5 + 18*T1^6 - 15*T1^7 + 
      3*T1^8 - 15*T2 + 60*T1*T2 - 15*T1^2*T2 - 60*T1^3*T2 + 45*T1^4*T2 + 
      45*T1^5*T2 - 60*T1^6*T2 - 15*T1^7*T2 + 60*T1^8*T2 - 15*T1^9*T2 + 
      18*T2^2 - 15*T1*T2^2 - 243*T1^2*T2^2 + 314*T1^3*T2^2 - 52*T1^4*T2^2 - 
      153*T1^5*T2^2 - 52*T1^6*T2^2 + 314*T1^7*T2^2 - 243*T1^8*T2^2 - 
      15*T1^9*T2^2 + 18*T1^10*T2^2 - 6*T2^3 - 60*T1*T2^3 + 314*T1^2*T2^3 - 
      78*T1^3*T2^3 - 320*T1^4*T2^3 + 242*T1^5*T2^3 + 242*T1^6*T2^3 - 
      320*T1^7*T2^3 - 78*T1^8*T2^3 + 314*T1^9*T2^3 - 60*T1^10*T2^3 - 
      6*T1^11*T2^3 - 3*T2^4 + 45*T1*T2^4 - 52*T1^2*T2^4 - 320*T1^3*T2^4 + 
      426*T1^4*T2^4 - 43*T1^5*T2^4 - 256*T1^6*T2^4 - 43*T1^7*T2^4 + 
      426*T1^8*T2^4 - 320*T1^9*T2^4 - 52*T1^10*T2^4 + 45*T1^11*T2^4 - 
      3*T1^12*T2^4 - 6*T2^5 + 45*T1*T2^5 - 153*T1^2*T2^5 + 242*T1^3*T2^5 - 
      43*T1^4*T2^5 - 218*T1^5*T2^5 + 151*T1^6*T2^5 + 151*T1^7*T2^5 - 
      218*T1^8*T2^5 - 43*T1^9*T2^5 + 242*T1^10*T2^5 - 153*T1^11*T2^5 + 
      45*T1^12*T2^5 - 6*T1^13*T2^5 + 18*T2^6 - 60*T1*T2^6 - 52*T1^2*T2^6 + 
      242*T1^3*T2^6 - 256*T1^4*T2^6 + 151*T1^5*T2^6 - 61*T1^6*T2^6 + 
      39*T1^7*T2^6 - 61*T1^8*T2^6 + 151*T1^9*T2^6 - 256*T1^10*T2^6 + 
      242*T1^11*T2^6 - 52*T1^12*T2^6 - 60*T1^13*T2^6 + 18*T1^14*T2^6 - 
      15*T2^7 - 15*T1*T2^7 + 314*T1^2*T2^7 - 320*T1^3*T2^7 - 43*T1^4*T2^7 + 
      151*T1^5*T2^7 + 39*T1^6*T2^7 - 74*T1^7*T2^7 - 74*T1^8*T2^7 + 
      39*T1^9*T2^7 + 151*T1^10*T2^7 - 43*T1^11*T2^7 - 320*T1^12*T2^7 + 
      314*T1^13*T2^7 - 15*T1^14*T2^7 - 15*T1^15*T2^7 + 3*T2^8 + 60*T1*T2^8 - 
      243*T1^2*T2^8 - 78*T1^3*T2^8 + 426*T1^4*T2^8 - 218*T1^5*T2^8 - 
      61*T1^6*T2^8 - 74*T1^7*T2^8 + 240*T1^8*T2^8 - 74*T1^9*T2^8 - 
      61*T1^10*T2^8 - 218*T1^11*T2^8 + 426*T1^12*T2^8 - 78*T1^13*T2^8 - 
      243*T1^14*T2^8 + 60*T1^15*T2^8 + 3*T1^16*T2^8 - 15*T1*T2^9 - 
      15*T1^2*T2^9 + 314*T1^3*T2^9 - 320*T1^4*T2^9 - 43*T1^5*T2^9 + 
      151*T1^6*T2^9 + 39*T1^7*T2^9 - 74*T1^8*T2^9 - 74*T1^9*T2^9 + 
      39*T1^10*T2^9 + 151*T1^11*T2^9 - 43*T1^12*T2^9 - 320*T1^13*T2^9 + 
      314*T1^14*T2^9 - 15*T1^15*T2^9 - 15*T1^16*T2^9 + 18*T1^2*T2^10 - 
      60*T1^3*T2^10 - 52*T1^4*T2^10 + 242*T1^5*T2^10 - 256*T1^6*T2^10 + 
      151*T1^7*T2^10 - 61*T1^8*T2^10 + 39*T1^9*T2^10 - 61*T1^10*T2^10 + 
      151*T1^11*T2^10 - 256*T1^12*T2^10 + 242*T1^13*T2^10 - 52*T1^14*T2^10 - 
      60*T1^15*T2^10 + 18*T1^16*T2^10 - 6*T1^3*T2^11 + 45*T1^4*T2^11 - 
      153*T1^5*T2^11 + 242*T1^6*T2^11 - 43*T1^7*T2^11 - 218*T1^8*T2^11 + 
      151*T1^9*T2^11 + 151*T1^10*T2^11 - 218*T1^11*T2^11 - 43*T1^12*T2^11 + 
      242*T1^13*T2^11 - 153*T1^14*T2^11 + 45*T1^15*T2^11 - 6*T1^16*T2^11 - 
      3*T1^4*T2^12 + 45*T1^5*T2^12 - 52*T1^6*T2^12 - 320*T1^7*T2^12 + 
      426*T1^8*T2^12 - 43*T1^9*T2^12 - 256*T1^10*T2^12 - 43*T1^11*T2^12 + 
      426*T1^12*T2^12 - 320*T1^13*T2^12 - 52*T1^14*T2^12 + 45*T1^15*T2^12 - 
      3*T1^16*T2^12 - 6*T1^5*T2^13 - 60*T1^6*T2^13 + 314*T1^7*T2^13 - 
      78*T1^8*T2^13 - 320*T1^9*T2^13 + 242*T1^10*T2^13 + 242*T1^11*T2^13 - 
      320*T1^12*T2^13 - 78*T1^13*T2^13 + 314*T1^14*T2^13 - 60*T1^15*T2^13 - 
      6*T1^16*T2^13 + 18*T1^6*T2^14 - 15*T1^7*T2^14 - 243*T1^8*T2^14 + 
      314*T1^9*T2^14 - 52*T1^10*T2^14 - 153*T1^11*T2^14 - 52*T1^12*T2^14 + 
      314*T1^13*T2^14 - 243*T1^14*T2^14 - 15*T1^15*T2^14 + 18*T1^16*T2^14 - 
      15*T1^7*T2^15 + 60*T1^8*T2^15 - 15*T1^9*T2^15 - 60*T1^10*T2^15 + 
      45*T1^11*T2^15 + 45*T1^12*T2^15 - 60*T1^13*T2^15 - 15*T1^14*T2^15 + 
      60*T1^15*T2^15 - 15*T1^16*T2^15 + 3*T1^8*T2^16 - 15*T1^9*T2^16 + 
      18*T1^10*T2^16 - 6*T1^11*T2^16 - 3*T1^12*T2^16 - 6*T1^13*T2^16 + 
      18*T1^14*T2^16 - 15*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 388] -> {-(((1 - 3*T + T^2)*(1 - T + T^2)^2)/T^3), 
   (-2*(3 - 14*T1 + 20*T1^2 - 14*T1^3 + 3*T1^4 - 14*T2 + 50*T1*T2 - 
      26*T1^2*T2 - 26*T1^3*T2 + 50*T1^4*T2 - 14*T1^5*T2 + 20*T2^2 - 
      26*T1*T2^2 - 143*T1^2*T2^2 + 220*T1^3*T2^2 - 143*T1^4*T2^2 - 
      26*T1^5*T2^2 + 20*T1^6*T2^2 - 14*T2^3 - 26*T1*T2^3 + 220*T1^2*T2^3 - 
      100*T1^3*T2^3 - 100*T1^4*T2^3 + 220*T1^5*T2^3 - 26*T1^6*T2^3 - 
      14*T1^7*T2^3 + 3*T2^4 + 50*T1*T2^4 - 143*T1^2*T2^4 - 100*T1^3*T2^4 + 
      180*T1^4*T2^4 - 100*T1^5*T2^4 - 143*T1^6*T2^4 + 50*T1^7*T2^4 + 
      3*T1^8*T2^4 - 14*T1*T2^5 - 26*T1^2*T2^5 + 220*T1^3*T2^5 - 
      100*T1^4*T2^5 - 100*T1^5*T2^5 + 220*T1^6*T2^5 - 26*T1^7*T2^5 - 
      14*T1^8*T2^5 + 20*T1^2*T2^6 - 26*T1^3*T2^6 - 143*T1^4*T2^6 + 
      220*T1^5*T2^6 - 143*T1^6*T2^6 - 26*T1^7*T2^6 + 20*T1^8*T2^6 - 
      14*T1^3*T2^7 + 50*T1^4*T2^7 - 26*T1^5*T2^7 - 26*T1^6*T2^7 + 
      50*T1^7*T2^7 - 14*T1^8*T2^7 + 3*T1^4*T2^8 - 14*T1^5*T2^8 + 
      20*T1^6*T2^8 - 14*T1^7*T2^8 + 3*T1^8*T2^8))/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 389] -> 
  {((1 - T + T^2)*(1 - 8*T + 15*T^2 - 8*T^3 + T^4))/T^3, 
   (1 - 9*T1 + 24*T1^2 - 31*T1^3 + 24*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
     74*T1*T2 - 135*T1^2*T2 + 59*T1^3*T2 + 59*T1^4*T2 - 135*T1^5*T2 + 
     74*T1^6*T2 - 9*T1^7*T2 + 24*T2^2 - 135*T1*T2^2 - 209*T1^2*T2^2 + 
     1186*T1^3*T2^2 - 1563*T1^4*T2^2 + 1186*T1^5*T2^2 - 209*T1^6*T2^2 - 
     135*T1^7*T2^2 + 24*T1^8*T2^2 - 31*T2^3 + 59*T1*T2^3 + 1186*T1^2*T2^3 - 
     2646*T1^3*T2^3 + 1104*T1^4*T2^3 + 1104*T1^5*T2^3 - 2646*T1^6*T2^3 + 
     1186*T1^7*T2^3 + 59*T1^8*T2^3 - 31*T1^9*T2^3 + 24*T2^4 + 59*T1*T2^4 - 
     1563*T1^2*T2^4 + 1104*T1^3*T2^4 + 3901*T1^4*T2^4 - 5501*T1^5*T2^4 + 
     3901*T1^6*T2^4 + 1104*T1^7*T2^4 - 1563*T1^8*T2^4 + 59*T1^9*T2^4 + 
     24*T1^10*T2^4 - 9*T2^5 - 135*T1*T2^5 + 1186*T1^2*T2^5 + 1104*T1^3*T2^5 - 
     5501*T1^4*T2^5 + 2110*T1^5*T2^5 + 2110*T1^6*T2^5 - 5501*T1^7*T2^5 + 
     1104*T1^8*T2^5 + 1186*T1^9*T2^5 - 135*T1^10*T2^5 - 9*T1^11*T2^5 + T2^6 + 
     74*T1*T2^6 - 209*T1^2*T2^6 - 2646*T1^3*T2^6 + 3901*T1^4*T2^6 + 
     2110*T1^5*T2^6 - 3564*T1^6*T2^6 + 2110*T1^7*T2^6 + 3901*T1^8*T2^6 - 
     2646*T1^9*T2^6 - 209*T1^10*T2^6 + 74*T1^11*T2^6 + T1^12*T2^6 - 
     9*T1*T2^7 - 135*T1^2*T2^7 + 1186*T1^3*T2^7 + 1104*T1^4*T2^7 - 
     5501*T1^5*T2^7 + 2110*T1^6*T2^7 + 2110*T1^7*T2^7 - 5501*T1^8*T2^7 + 
     1104*T1^9*T2^7 + 1186*T1^10*T2^7 - 135*T1^11*T2^7 - 9*T1^12*T2^7 + 
     24*T1^2*T2^8 + 59*T1^3*T2^8 - 1563*T1^4*T2^8 + 1104*T1^5*T2^8 + 
     3901*T1^6*T2^8 - 5501*T1^7*T2^8 + 3901*T1^8*T2^8 + 1104*T1^9*T2^8 - 
     1563*T1^10*T2^8 + 59*T1^11*T2^8 + 24*T1^12*T2^8 - 31*T1^3*T2^9 + 
     59*T1^4*T2^9 + 1186*T1^5*T2^9 - 2646*T1^6*T2^9 + 1104*T1^7*T2^9 + 
     1104*T1^8*T2^9 - 2646*T1^9*T2^9 + 1186*T1^10*T2^9 + 59*T1^11*T2^9 - 
     31*T1^12*T2^9 + 24*T1^4*T2^10 - 135*T1^5*T2^10 - 209*T1^6*T2^10 + 
     1186*T1^7*T2^10 - 1563*T1^8*T2^10 + 1186*T1^9*T2^10 - 209*T1^10*T2^10 - 
     135*T1^11*T2^10 + 24*T1^12*T2^10 - 9*T1^5*T2^11 + 74*T1^6*T2^11 - 
     135*T1^7*T2^11 + 59*T1^8*T2^11 + 59*T1^9*T2^11 - 135*T1^10*T2^11 + 
     74*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 
     24*T1^8*T2^12 - 31*T1^9*T2^12 + 24*T1^10*T2^12 - 9*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 390] -> 
  {(1 - 6*T + 14*T^2 - 17*T^3 + 14*T^4 - 6*T^5 + T^6)/T^3, 
   (1 - 6*T1 + 14*T1^2 - 17*T1^3 + 14*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     30*T1*T2 - 48*T1^2*T2 + 19*T1^3*T2 + 19*T1^4*T2 - 48*T1^5*T2 + 
     30*T1^6*T2 - 6*T1^7*T2 + 14*T2^2 - 48*T1*T2^2 - T1^2*T2^2 + 
     163*T1^3*T2^2 - 215*T1^4*T2^2 + 163*T1^5*T2^2 - T1^6*T2^2 - 
     48*T1^7*T2^2 + 14*T1^8*T2^2 - 17*T2^3 + 19*T1*T2^3 + 163*T1^2*T2^3 - 
     356*T1^3*T2^3 + 144*T1^4*T2^3 + 144*T1^5*T2^3 - 356*T1^6*T2^3 + 
     163*T1^7*T2^3 + 19*T1^8*T2^3 - 17*T1^9*T2^3 + 14*T2^4 + 19*T1*T2^4 - 
     215*T1^2*T2^4 + 144*T1^3*T2^4 + 419*T1^4*T2^4 - 629*T1^5*T2^4 + 
     419*T1^6*T2^4 + 144*T1^7*T2^4 - 215*T1^8*T2^4 + 19*T1^9*T2^4 + 
     14*T1^10*T2^4 - 6*T2^5 - 48*T1*T2^5 + 163*T1^2*T2^5 + 144*T1^3*T2^5 - 
     629*T1^4*T2^5 + 310*T1^5*T2^5 + 310*T1^6*T2^5 - 629*T1^7*T2^5 + 
     144*T1^8*T2^5 + 163*T1^9*T2^5 - 48*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     30*T1*T2^6 - T1^2*T2^6 - 356*T1^3*T2^6 + 419*T1^4*T2^6 + 310*T1^5*T2^6 - 
     684*T1^6*T2^6 + 310*T1^7*T2^6 + 419*T1^8*T2^6 - 356*T1^9*T2^6 - 
     T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 48*T1^2*T2^7 + 
     163*T1^3*T2^7 + 144*T1^4*T2^7 - 629*T1^5*T2^7 + 310*T1^6*T2^7 + 
     310*T1^7*T2^7 - 629*T1^8*T2^7 + 144*T1^9*T2^7 + 163*T1^10*T2^7 - 
     48*T1^11*T2^7 - 6*T1^12*T2^7 + 14*T1^2*T2^8 + 19*T1^3*T2^8 - 
     215*T1^4*T2^8 + 144*T1^5*T2^8 + 419*T1^6*T2^8 - 629*T1^7*T2^8 + 
     419*T1^8*T2^8 + 144*T1^9*T2^8 - 215*T1^10*T2^8 + 19*T1^11*T2^8 + 
     14*T1^12*T2^8 - 17*T1^3*T2^9 + 19*T1^4*T2^9 + 163*T1^5*T2^9 - 
     356*T1^6*T2^9 + 144*T1^7*T2^9 + 144*T1^8*T2^9 - 356*T1^9*T2^9 + 
     163*T1^10*T2^9 + 19*T1^11*T2^9 - 17*T1^12*T2^9 + 14*T1^4*T2^10 - 
     48*T1^5*T2^10 - T1^6*T2^10 + 163*T1^7*T2^10 - 215*T1^8*T2^10 + 
     163*T1^9*T2^10 - T1^10*T2^10 - 48*T1^11*T2^10 + 14*T1^12*T2^10 - 
     6*T1^5*T2^11 + 30*T1^6*T2^11 - 48*T1^7*T2^11 + 19*T1^8*T2^11 + 
     19*T1^9*T2^11 - 48*T1^10*T2^11 + 30*T1^11*T2^11 - 6*T1^12*T2^11 + 
     T1^6*T2^12 - 6*T1^7*T2^12 + 14*T1^8*T2^12 - 17*T1^9*T2^12 + 
     14*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 391] -> 
  {(3 - 12*T + 26*T^2 - 33*T^3 + 26*T^4 - 12*T^5 + 3*T^6)/T^3, 
   -((30 - 117*T1 + 251*T1^2 - 316*T1^3 + 251*T1^4 - 117*T1^5 + 30*T1^6 - 
      117*T2 + 340*T1*T2 - 524*T1^2*T2 + 255*T1^3*T2 + 255*T1^4*T2 - 
      524*T1^5*T2 + 340*T1^6*T2 - 117*T1^7*T2 + 251*T2^2 - 524*T1*T2^2 + 
      546*T1^2*T2^2 + 309*T1^3*T2^2 - 798*T1^4*T2^2 + 309*T1^5*T2^2 + 
      546*T1^6*T2^2 - 524*T1^7*T2^2 + 251*T1^8*T2^2 - 316*T2^3 + 
      255*T1*T2^3 + 309*T1^2*T2^3 - 1666*T1^3*T2^3 + 949*T1^4*T2^3 + 
      949*T1^5*T2^3 - 1666*T1^6*T2^3 + 309*T1^7*T2^3 + 255*T1^8*T2^3 - 
      316*T1^9*T2^3 + 251*T2^4 + 255*T1*T2^4 - 798*T1^2*T2^4 + 
      949*T1^3*T2^4 + 2345*T1^4*T2^4 - 4281*T1^5*T2^4 + 2345*T1^6*T2^4 + 
      949*T1^7*T2^4 - 798*T1^8*T2^4 + 255*T1^9*T2^4 + 251*T1^10*T2^4 - 
      117*T2^5 - 524*T1*T2^5 + 309*T1^2*T2^5 + 949*T1^3*T2^5 - 
      4281*T1^4*T2^5 + 2454*T1^5*T2^5 + 2454*T1^6*T2^5 - 4281*T1^7*T2^5 + 
      949*T1^8*T2^5 + 309*T1^9*T2^5 - 524*T1^10*T2^5 - 117*T1^11*T2^5 + 
      30*T2^6 + 340*T1*T2^6 + 546*T1^2*T2^6 - 1666*T1^3*T2^6 + 
      2345*T1^4*T2^6 + 2454*T1^5*T2^6 - 5400*T1^6*T2^6 + 2454*T1^7*T2^6 + 
      2345*T1^8*T2^6 - 1666*T1^9*T2^6 + 546*T1^10*T2^6 + 340*T1^11*T2^6 + 
      30*T1^12*T2^6 - 117*T1*T2^7 - 524*T1^2*T2^7 + 309*T1^3*T2^7 + 
      949*T1^4*T2^7 - 4281*T1^5*T2^7 + 2454*T1^6*T2^7 + 2454*T1^7*T2^7 - 
      4281*T1^8*T2^7 + 949*T1^9*T2^7 + 309*T1^10*T2^7 - 524*T1^11*T2^7 - 
      117*T1^12*T2^7 + 251*T1^2*T2^8 + 255*T1^3*T2^8 - 798*T1^4*T2^8 + 
      949*T1^5*T2^8 + 2345*T1^6*T2^8 - 4281*T1^7*T2^8 + 2345*T1^8*T2^8 + 
      949*T1^9*T2^8 - 798*T1^10*T2^8 + 255*T1^11*T2^8 + 251*T1^12*T2^8 - 
      316*T1^3*T2^9 + 255*T1^4*T2^9 + 309*T1^5*T2^9 - 1666*T1^6*T2^9 + 
      949*T1^7*T2^9 + 949*T1^8*T2^9 - 1666*T1^9*T2^9 + 309*T1^10*T2^9 + 
      255*T1^11*T2^9 - 316*T1^12*T2^9 + 251*T1^4*T2^10 - 524*T1^5*T2^10 + 
      546*T1^6*T2^10 + 309*T1^7*T2^10 - 798*T1^8*T2^10 + 309*T1^9*T2^10 + 
      546*T1^10*T2^10 - 524*T1^11*T2^10 + 251*T1^12*T2^10 - 117*T1^5*T2^11 + 
      340*T1^6*T2^11 - 524*T1^7*T2^11 + 255*T1^8*T2^11 + 255*T1^9*T2^11 - 
      524*T1^10*T2^11 + 340*T1^11*T2^11 - 117*T1^12*T2^11 + 30*T1^6*T2^12 - 
      117*T1^7*T2^12 + 251*T1^8*T2^12 - 316*T1^9*T2^12 + 251*T1^10*T2^12 - 
      117*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 392] -> 
  {(1 - 8*T + 24*T^2 - 33*T^3 + 24*T^4 - 8*T^5 + T^6)/T^3, 
   (1 - 8*T1 + 24*T1^2 - 33*T1^3 + 24*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
     56*T1*T2 - 128*T1^2*T2 + 72*T1^3*T2 + 72*T1^4*T2 - 128*T1^5*T2 + 
     56*T1^6*T2 - 8*T1^7*T2 + 24*T2^2 - 128*T1*T2^2 + 100*T1^2*T2^2 + 
     490*T1^3*T2^2 - 868*T1^4*T2^2 + 490*T1^5*T2^2 + 100*T1^6*T2^2 - 
     128*T1^7*T2^2 + 24*T1^8*T2^2 - 33*T2^3 + 72*T1*T2^3 + 490*T1^2*T2^3 - 
     1760*T1^3*T2^3 + 1046*T1^4*T2^3 + 1046*T1^5*T2^3 - 1760*T1^6*T2^3 + 
     490*T1^7*T2^3 + 72*T1^8*T2^3 - 33*T1^9*T2^3 + 24*T2^4 + 72*T1*T2^4 - 
     868*T1^2*T2^4 + 1046*T1^3*T2^4 + 2768*T1^4*T2^4 - 5260*T1^5*T2^4 + 
     2768*T1^6*T2^4 + 1046*T1^7*T2^4 - 868*T1^8*T2^4 + 72*T1^9*T2^4 + 
     24*T1^10*T2^4 - 8*T2^5 - 128*T1*T2^5 + 490*T1^2*T2^5 + 1046*T1^3*T2^5 - 
     5260*T1^4*T2^5 + 3228*T1^5*T2^5 + 3228*T1^6*T2^5 - 5260*T1^7*T2^5 + 
     1046*T1^8*T2^5 + 490*T1^9*T2^5 - 128*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
     56*T1*T2^6 + 100*T1^2*T2^6 - 1760*T1^3*T2^6 + 2768*T1^4*T2^6 + 
     3228*T1^5*T2^6 - 7344*T1^6*T2^6 + 3228*T1^7*T2^6 + 2768*T1^8*T2^6 - 
     1760*T1^9*T2^6 + 100*T1^10*T2^6 + 56*T1^11*T2^6 + T1^12*T2^6 - 
     8*T1*T2^7 - 128*T1^2*T2^7 + 490*T1^3*T2^7 + 1046*T1^4*T2^7 - 
     5260*T1^5*T2^7 + 3228*T1^6*T2^7 + 3228*T1^7*T2^7 - 5260*T1^8*T2^7 + 
     1046*T1^9*T2^7 + 490*T1^10*T2^7 - 128*T1^11*T2^7 - 8*T1^12*T2^7 + 
     24*T1^2*T2^8 + 72*T1^3*T2^8 - 868*T1^4*T2^8 + 1046*T1^5*T2^8 + 
     2768*T1^6*T2^8 - 5260*T1^7*T2^8 + 2768*T1^8*T2^8 + 1046*T1^9*T2^8 - 
     868*T1^10*T2^8 + 72*T1^11*T2^8 + 24*T1^12*T2^8 - 33*T1^3*T2^9 + 
     72*T1^4*T2^9 + 490*T1^5*T2^9 - 1760*T1^6*T2^9 + 1046*T1^7*T2^9 + 
     1046*T1^8*T2^9 - 1760*T1^9*T2^9 + 490*T1^10*T2^9 + 72*T1^11*T2^9 - 
     33*T1^12*T2^9 + 24*T1^4*T2^10 - 128*T1^5*T2^10 + 100*T1^6*T2^10 + 
     490*T1^7*T2^10 - 868*T1^8*T2^10 + 490*T1^9*T2^10 + 100*T1^10*T2^10 - 
     128*T1^11*T2^10 + 24*T1^12*T2^10 - 8*T1^5*T2^11 + 56*T1^6*T2^11 - 
     128*T1^7*T2^11 + 72*T1^8*T2^11 + 72*T1^9*T2^11 - 128*T1^10*T2^11 + 
     56*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
     24*T1^8*T2^12 - 33*T1^9*T2^12 + 24*T1^10*T2^12 - 8*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 393] -> 
  {((3 - 3*T + T^2)*(1 - 3*T + 3*T^2))/T^2, 
   -((9 - 42*T1 + 73*T1^2 - 42*T1^3 + 9*T1^4 - 42*T2 + 150*T1*T2 - 
      140*T1^2*T2 - 140*T1^3*T2 + 150*T1^4*T2 - 42*T1^5*T2 + 73*T2^2 - 
      140*T1*T2^2 - 189*T1^2*T2^2 + 783*T1^3*T2^2 - 189*T1^4*T2^2 - 
      140*T1^5*T2^2 + 73*T1^6*T2^2 - 42*T2^3 - 140*T1*T2^3 + 783*T1^2*T2^3 - 
      912*T1^3*T2^3 - 912*T1^4*T2^3 + 783*T1^5*T2^3 - 140*T1^6*T2^3 - 
      42*T1^7*T2^3 + 9*T2^4 + 150*T1*T2^4 - 189*T1^2*T2^4 - 912*T1^3*T2^4 + 
      2700*T1^4*T2^4 - 912*T1^5*T2^4 - 189*T1^6*T2^4 + 150*T1^7*T2^4 + 
      9*T1^8*T2^4 - 42*T1*T2^5 - 140*T1^2*T2^5 + 783*T1^3*T2^5 - 
      912*T1^4*T2^5 - 912*T1^5*T2^5 + 783*T1^6*T2^5 - 140*T1^7*T2^5 - 
      42*T1^8*T2^5 + 73*T1^2*T2^6 - 140*T1^3*T2^6 - 189*T1^4*T2^6 + 
      783*T1^5*T2^6 - 189*T1^6*T2^6 - 140*T1^7*T2^6 + 73*T1^8*T2^6 - 
      42*T1^3*T2^7 + 150*T1^4*T2^7 - 140*T1^5*T2^7 - 140*T1^6*T2^7 + 
      150*T1^7*T2^7 - 42*T1^8*T2^7 + 9*T1^4*T2^8 - 42*T1^5*T2^8 + 
      73*T1^6*T2^8 - 42*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4))}, 
 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)*
     (T1 + T2 - 2*T1*T2 - 2*T1^2*T2 + T1^3*T2 - 2*T1*T2^2 + 6*T1^2*T2^2 - 
      2*T1^3*T2^2 + T1*T2^3 - 2*T1^2*T2^3 - 2*T1^3*T2^3 + T1^4*T2^3 + 
      T1^3*T2^4))/(T1^4*T2^4)}, Knot[12, NonAlternating, 395] -> 
  {-((1 - 8*T + 18*T^2 - 23*T^3 + 18*T^4 - 8*T^5 + T^6)/T^3), 
   (2 - 16*T1 + 36*T1^2 - 46*T1^3 + 36*T1^4 - 16*T1^5 + 2*T1^6 - 16*T2 + 
     112*T1*T2 - 160*T1^2*T2 + 80*T1^3*T2 + 80*T1^4*T2 - 160*T1^5*T2 + 
     112*T1^6*T2 - 16*T1^7*T2 + 36*T2^2 - 160*T1*T2^2 - 282*T1^2*T2^2 + 
     1028*T1^3*T2^2 - 1434*T1^4*T2^2 + 1028*T1^5*T2^2 - 282*T1^6*T2^2 - 
     160*T1^7*T2^2 + 36*T1^8*T2^2 - 46*T2^3 + 80*T1*T2^3 + 1028*T1^2*T2^3 - 
     1628*T1^3*T2^3 + 859*T1^4*T2^3 + 859*T1^5*T2^3 - 1628*T1^6*T2^3 + 
     1028*T1^7*T2^3 + 80*T1^8*T2^3 - 46*T1^9*T2^3 + 36*T2^4 + 80*T1*T2^4 - 
     1434*T1^2*T2^4 + 859*T1^3*T2^4 + 1055*T1^4*T2^4 - 2361*T1^5*T2^4 + 
     1055*T1^6*T2^4 + 859*T1^7*T2^4 - 1434*T1^8*T2^4 + 80*T1^9*T2^4 + 
     36*T1^10*T2^4 - 16*T2^5 - 160*T1*T2^5 + 1028*T1^2*T2^5 + 859*T1^3*T2^5 - 
     2361*T1^4*T2^5 + 1496*T1^5*T2^5 + 1496*T1^6*T2^5 - 2361*T1^7*T2^5 + 
     859*T1^8*T2^5 + 1028*T1^9*T2^5 - 160*T1^10*T2^5 - 16*T1^11*T2^5 + 
     2*T2^6 + 112*T1*T2^6 - 282*T1^2*T2^6 - 1628*T1^3*T2^6 + 1055*T1^4*T2^6 + 
     1496*T1^5*T2^6 - 3408*T1^6*T2^6 + 1496*T1^7*T2^6 + 1055*T1^8*T2^6 - 
     1628*T1^9*T2^6 - 282*T1^10*T2^6 + 112*T1^11*T2^6 + 2*T1^12*T2^6 - 
     16*T1*T2^7 - 160*T1^2*T2^7 + 1028*T1^3*T2^7 + 859*T1^4*T2^7 - 
     2361*T1^5*T2^7 + 1496*T1^6*T2^7 + 1496*T1^7*T2^7 - 2361*T1^8*T2^7 + 
     859*T1^9*T2^7 + 1028*T1^10*T2^7 - 160*T1^11*T2^7 - 16*T1^12*T2^7 + 
     36*T1^2*T2^8 + 80*T1^3*T2^8 - 1434*T1^4*T2^8 + 859*T1^5*T2^8 + 
     1055*T1^6*T2^8 - 2361*T1^7*T2^8 + 1055*T1^8*T2^8 + 859*T1^9*T2^8 - 
     1434*T1^10*T2^8 + 80*T1^11*T2^8 + 36*T1^12*T2^8 - 46*T1^3*T2^9 + 
     80*T1^4*T2^9 + 1028*T1^5*T2^9 - 1628*T1^6*T2^9 + 859*T1^7*T2^9 + 
     859*T1^8*T2^9 - 1628*T1^9*T2^9 + 1028*T1^10*T2^9 + 80*T1^11*T2^9 - 
     46*T1^12*T2^9 + 36*T1^4*T2^10 - 160*T1^5*T2^10 - 282*T1^6*T2^10 + 
     1028*T1^7*T2^10 - 1434*T1^8*T2^10 + 1028*T1^9*T2^10 - 282*T1^10*T2^10 - 
     160*T1^11*T2^10 + 36*T1^12*T2^10 - 16*T1^5*T2^11 + 112*T1^6*T2^11 - 
     160*T1^7*T2^11 + 80*T1^8*T2^11 + 80*T1^9*T2^11 - 160*T1^10*T2^11 + 
     112*T1^11*T2^11 - 16*T1^12*T2^11 + 2*T1^6*T2^12 - 16*T1^7*T2^12 + 
     36*T1^8*T2^12 - 46*T1^9*T2^12 + 36*T1^10*T2^12 - 16*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 396] -> 
  {(1 - 7*T + 16*T^2 - 19*T^3 + 16*T^4 - 7*T^5 + T^6)/T^3, 
   -((1 - 7*T1 + 16*T1^2 - 19*T1^3 + 16*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 64*T1^2*T2 + 23*T1^3*T2 + 23*T1^4*T2 - 64*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 16*T2^2 - 64*T1*T2^2 - 52*T1^2*T2^2 + 
      325*T1^3*T2^2 - 394*T1^4*T2^2 + 325*T1^5*T2^2 - 52*T1^6*T2^2 - 
      64*T1^7*T2^2 + 16*T1^8*T2^2 - 19*T2^3 + 23*T1*T2^3 + 325*T1^2*T2^3 - 
      618*T1^3*T2^3 + 223*T1^4*T2^3 + 223*T1^5*T2^3 - 618*T1^6*T2^3 + 
      325*T1^7*T2^3 + 23*T1^8*T2^3 - 19*T1^9*T2^3 + 16*T2^4 + 23*T1*T2^4 - 
      394*T1^2*T2^4 + 223*T1^3*T2^4 + 777*T1^4*T2^4 - 1121*T1^5*T2^4 + 
      777*T1^6*T2^4 + 223*T1^7*T2^4 - 394*T1^8*T2^4 + 23*T1^9*T2^4 + 
      16*T1^10*T2^4 - 7*T2^5 - 64*T1*T2^5 + 325*T1^2*T2^5 + 223*T1^3*T2^5 - 
      1121*T1^4*T2^5 + 582*T1^5*T2^5 + 582*T1^6*T2^5 - 1121*T1^7*T2^5 + 
      223*T1^8*T2^5 + 325*T1^9*T2^5 - 64*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 - 52*T1^2*T2^6 - 618*T1^3*T2^6 + 777*T1^4*T2^6 + 
      582*T1^5*T2^6 - 1380*T1^6*T2^6 + 582*T1^7*T2^6 + 777*T1^8*T2^6 - 
      618*T1^9*T2^6 - 52*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 64*T1^2*T2^7 + 325*T1^3*T2^7 + 223*T1^4*T2^7 - 
      1121*T1^5*T2^7 + 582*T1^6*T2^7 + 582*T1^7*T2^7 - 1121*T1^8*T2^7 + 
      223*T1^9*T2^7 + 325*T1^10*T2^7 - 64*T1^11*T2^7 - 7*T1^12*T2^7 + 
      16*T1^2*T2^8 + 23*T1^3*T2^8 - 394*T1^4*T2^8 + 223*T1^5*T2^8 + 
      777*T1^6*T2^8 - 1121*T1^7*T2^8 + 777*T1^8*T2^8 + 223*T1^9*T2^8 - 
      394*T1^10*T2^8 + 23*T1^11*T2^8 + 16*T1^12*T2^8 - 19*T1^3*T2^9 + 
      23*T1^4*T2^9 + 325*T1^5*T2^9 - 618*T1^6*T2^9 + 223*T1^7*T2^9 + 
      223*T1^8*T2^9 - 618*T1^9*T2^9 + 325*T1^10*T2^9 + 23*T1^11*T2^9 - 
      19*T1^12*T2^9 + 16*T1^4*T2^10 - 64*T1^5*T2^10 - 52*T1^6*T2^10 + 
      325*T1^7*T2^10 - 394*T1^8*T2^10 + 325*T1^9*T2^10 - 52*T1^10*T2^10 - 
      64*T1^11*T2^10 + 16*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      64*T1^7*T2^11 + 23*T1^8*T2^11 + 23*T1^9*T2^11 - 64*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      16*T1^8*T2^12 - 19*T1^9*T2^12 + 16*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 397] -> 
  {-(((-1 + 2*T - 3*T^2 + T^3)*(-1 + 3*T - 2*T^2 + T^3))/T^3), 
   (T1^2 + T1^3 - T1*T2 - 6*T1^2*T2 - 3*T1^3*T2 - 6*T1^4*T2 - T1^5*T2 + 
     T2^2 - 6*T1*T2^2 + 42*T1^2*T2^2 + 2*T1^3*T2^2 + 2*T1^4*T2^2 + 
     42*T1^5*T2^2 - 6*T1^6*T2^2 + T1^7*T2^2 + T2^3 - 3*T1*T2^3 + 
     2*T1^2*T2^3 - 205*T1^3*T2^3 + 187*T1^4*T2^3 - 205*T1^5*T2^3 + 
     2*T1^6*T2^3 - 3*T1^7*T2^3 + T1^8*T2^3 - 6*T1*T2^4 + 2*T1^2*T2^4 + 
     187*T1^3*T2^4 + 22*T1^4*T2^4 + 22*T1^5*T2^4 + 187*T1^6*T2^4 + 
     2*T1^7*T2^4 - 6*T1^8*T2^4 - T1*T2^5 + 42*T1^2*T2^5 - 205*T1^3*T2^5 + 
     22*T1^4*T2^5 - 216*T1^5*T2^5 + 22*T1^6*T2^5 - 205*T1^7*T2^5 + 
     42*T1^8*T2^5 - T1^9*T2^5 - 6*T1^2*T2^6 + 2*T1^3*T2^6 + 187*T1^4*T2^6 + 
     22*T1^5*T2^6 + 22*T1^6*T2^6 + 187*T1^7*T2^6 + 2*T1^8*T2^6 - 
     6*T1^9*T2^6 + T1^2*T2^7 - 3*T1^3*T2^7 + 2*T1^4*T2^7 - 205*T1^5*T2^7 + 
     187*T1^6*T2^7 - 205*T1^7*T2^7 + 2*T1^8*T2^7 - 3*T1^9*T2^7 + T1^10*T2^7 + 
     T1^3*T2^8 - 6*T1^4*T2^8 + 42*T1^5*T2^8 + 2*T1^6*T2^8 + 2*T1^7*T2^8 + 
     42*T1^8*T2^8 - 6*T1^9*T2^8 + T1^10*T2^8 - T1^5*T2^9 - 6*T1^6*T2^9 - 
     3*T1^7*T2^9 - 6*T1^8*T2^9 - T1^9*T2^9 + T1^7*T2^10 + T1^8*T2^10)/
    (T1^5*T2^5)}, Knot[12, NonAlternating, 398] -> 
  {-((1 - 4*T + 4*T^2 - 3*T^3 + 4*T^4 - 4*T^5 + T^6)/T^3), 
   (2 - 8*T1 + 8*T1^2 - 6*T1^3 + 8*T1^4 - 8*T1^5 + 2*T1^6 - 8*T2 + 24*T1*T2 - 
     8*T1^3*T2 - 8*T1^4*T2 + 24*T1^6*T2 - 8*T1^7*T2 + 8*T2^2 - 82*T1^2*T2^2 + 
     61*T1^3*T2^2 - 18*T1^4*T2^2 + 61*T1^5*T2^2 - 82*T1^6*T2^2 + 
     8*T1^8*T2^2 - 6*T2^3 - 8*T1*T2^3 + 61*T1^2*T2^3 + 18*T1^3*T2^3 - 
     37*T1^4*T2^3 - 37*T1^5*T2^3 + 18*T1^6*T2^3 + 61*T1^7*T2^3 - 
     8*T1^8*T2^3 - 6*T1^9*T2^3 + 8*T2^4 - 8*T1*T2^4 - 18*T1^2*T2^4 - 
     37*T1^3*T2^4 + 34*T1^4*T2^4 - 4*T1^5*T2^4 + 34*T1^6*T2^4 - 
     37*T1^7*T2^4 - 18*T1^8*T2^4 - 8*T1^9*T2^4 + 8*T1^10*T2^4 - 8*T2^5 + 
     61*T1^2*T2^5 - 37*T1^3*T2^5 - 4*T1^4*T2^5 + 8*T1^5*T2^5 + 8*T1^6*T2^5 - 
     4*T1^7*T2^5 - 37*T1^8*T2^5 + 61*T1^9*T2^5 - 8*T1^11*T2^5 + 2*T2^6 + 
     24*T1*T2^6 - 82*T1^2*T2^6 + 18*T1^3*T2^6 + 34*T1^4*T2^6 + 8*T1^5*T2^6 - 
     48*T1^6*T2^6 + 8*T1^7*T2^6 + 34*T1^8*T2^6 + 18*T1^9*T2^6 - 
     82*T1^10*T2^6 + 24*T1^11*T2^6 + 2*T1^12*T2^6 - 8*T1*T2^7 + 
     61*T1^3*T2^7 - 37*T1^4*T2^7 - 4*T1^5*T2^7 + 8*T1^6*T2^7 + 8*T1^7*T2^7 - 
     4*T1^8*T2^7 - 37*T1^9*T2^7 + 61*T1^10*T2^7 - 8*T1^12*T2^7 + 
     8*T1^2*T2^8 - 8*T1^3*T2^8 - 18*T1^4*T2^8 - 37*T1^5*T2^8 + 34*T1^6*T2^8 - 
     4*T1^7*T2^8 + 34*T1^8*T2^8 - 37*T1^9*T2^8 - 18*T1^10*T2^8 - 
     8*T1^11*T2^8 + 8*T1^12*T2^8 - 6*T1^3*T2^9 - 8*T1^4*T2^9 + 61*T1^5*T2^9 + 
     18*T1^6*T2^9 - 37*T1^7*T2^9 - 37*T1^8*T2^9 + 18*T1^9*T2^9 + 
     61*T1^10*T2^9 - 8*T1^11*T2^9 - 6*T1^12*T2^9 + 8*T1^4*T2^10 - 
     82*T1^6*T2^10 + 61*T1^7*T2^10 - 18*T1^8*T2^10 + 61*T1^9*T2^10 - 
     82*T1^10*T2^10 + 8*T1^12*T2^10 - 8*T1^5*T2^11 + 24*T1^6*T2^11 - 
     8*T1^8*T2^11 - 8*T1^9*T2^11 + 24*T1^11*T2^11 - 8*T1^12*T2^11 + 
     2*T1^6*T2^12 - 8*T1^7*T2^12 + 8*T1^8*T2^12 - 6*T1^9*T2^12 + 
     8*T1^10*T2^12 - 8*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 399] -> 
  {-(((-1 + 3*T - 4*T^2 + T^3)*(-1 + 4*T - 3*T^2 + T^3))/T^3), 
   (2 - 7*T1 + 7*T1^2 + 7*T1^3 - 7*T1^4 + 2*T1^5 - 7*T2 + 12*T1*T2 + 
     19*T1^2*T2 - 86*T1^3*T2 + 19*T1^4*T2 + 12*T1^5*T2 - 7*T1^6*T2 + 7*T2^2 + 
     19*T1*T2^2 - 102*T1^2*T2^2 + 161*T1^3*T2^2 + 161*T1^4*T2^2 - 
     102*T1^5*T2^2 + 19*T1^6*T2^2 + 7*T1^7*T2^2 + 7*T2^3 - 86*T1*T2^3 + 
     161*T1^2*T2^3 - 67*T1^3*T2^3 - 499*T1^4*T2^3 - 67*T1^5*T2^3 + 
     161*T1^6*T2^3 - 86*T1^7*T2^3 + 7*T1^8*T2^3 - 7*T2^4 + 19*T1*T2^4 + 
     161*T1^2*T2^4 - 499*T1^3*T2^4 + 752*T1^4*T2^4 + 752*T1^5*T2^4 - 
     499*T1^6*T2^4 + 161*T1^7*T2^4 + 19*T1^8*T2^4 - 7*T1^9*T2^4 + 2*T2^5 + 
     12*T1*T2^5 - 102*T1^2*T2^5 - 67*T1^3*T2^5 + 752*T1^4*T2^5 - 
     2232*T1^5*T2^5 + 752*T1^6*T2^5 - 67*T1^7*T2^5 - 102*T1^8*T2^5 + 
     12*T1^9*T2^5 + 2*T1^10*T2^5 - 7*T1*T2^6 + 19*T1^2*T2^6 + 161*T1^3*T2^6 - 
     499*T1^4*T2^6 + 752*T1^5*T2^6 + 752*T1^6*T2^6 - 499*T1^7*T2^6 + 
     161*T1^8*T2^6 + 19*T1^9*T2^6 - 7*T1^10*T2^6 + 7*T1^2*T2^7 - 
     86*T1^3*T2^7 + 161*T1^4*T2^7 - 67*T1^5*T2^7 - 499*T1^6*T2^7 - 
     67*T1^7*T2^7 + 161*T1^8*T2^7 - 86*T1^9*T2^7 + 7*T1^10*T2^7 + 
     7*T1^3*T2^8 + 19*T1^4*T2^8 - 102*T1^5*T2^8 + 161*T1^6*T2^8 + 
     161*T1^7*T2^8 - 102*T1^8*T2^8 + 19*T1^9*T2^8 + 7*T1^10*T2^8 - 
     7*T1^4*T2^9 + 12*T1^5*T2^9 + 19*T1^6*T2^9 - 86*T1^7*T2^9 + 
     19*T1^8*T2^9 + 12*T1^9*T2^9 - 7*T1^10*T2^9 + 2*T1^5*T2^10 - 
     7*T1^6*T2^10 + 7*T1^7*T2^10 + 7*T1^8*T2^10 - 7*T1^9*T2^10 + 
     2*T1^10*T2^10)/(T1^5*T2^5)}, Knot[12, NonAlternating, 400] -> 
  {((1 - 3*T + T^2)*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^3, 
   -((1 - 8*T1 + 23*T1^2 - 31*T1^3 + 23*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
      58*T1*T2 - 125*T1^2*T2 + 65*T1^3*T2 + 65*T1^4*T2 - 125*T1^5*T2 + 
      58*T1^6*T2 - 8*T1^7*T2 + 23*T2^2 - 125*T1*T2^2 + 25*T1^2*T2^2 + 
      671*T1^3*T2^2 - 1039*T1^4*T2^2 + 671*T1^5*T2^2 + 25*T1^6*T2^2 - 
      125*T1^7*T2^2 + 23*T1^8*T2^2 - 31*T2^3 + 65*T1*T2^3 + 671*T1^2*T2^3 - 
      2100*T1^3*T2^3 + 1098*T1^4*T2^3 + 1098*T1^5*T2^3 - 2100*T1^6*T2^3 + 
      671*T1^7*T2^3 + 65*T1^8*T2^3 - 31*T1^9*T2^3 + 23*T2^4 + 65*T1*T2^4 - 
      1039*T1^2*T2^4 + 1098*T1^3*T2^4 + 3643*T1^4*T2^4 - 6117*T1^5*T2^4 + 
      3643*T1^6*T2^4 + 1098*T1^7*T2^4 - 1039*T1^8*T2^4 + 65*T1^9*T2^4 + 
      23*T1^10*T2^4 - 8*T2^5 - 125*T1*T2^5 + 671*T1^2*T2^5 + 1098*T1^3*T2^5 - 
      6117*T1^4*T2^5 + 3268*T1^5*T2^5 + 3268*T1^6*T2^5 - 6117*T1^7*T2^5 + 
      1098*T1^8*T2^5 + 671*T1^9*T2^5 - 125*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
      58*T1*T2^6 + 25*T1^2*T2^6 - 2100*T1^3*T2^6 + 3643*T1^4*T2^6 + 
      3268*T1^5*T2^6 - 6936*T1^6*T2^6 + 3268*T1^7*T2^6 + 3643*T1^8*T2^6 - 
      2100*T1^9*T2^6 + 25*T1^10*T2^6 + 58*T1^11*T2^6 + T1^12*T2^6 - 
      8*T1*T2^7 - 125*T1^2*T2^7 + 671*T1^3*T2^7 + 1098*T1^4*T2^7 - 
      6117*T1^5*T2^7 + 3268*T1^6*T2^7 + 3268*T1^7*T2^7 - 6117*T1^8*T2^7 + 
      1098*T1^9*T2^7 + 671*T1^10*T2^7 - 125*T1^11*T2^7 - 8*T1^12*T2^7 + 
      23*T1^2*T2^8 + 65*T1^3*T2^8 - 1039*T1^4*T2^8 + 1098*T1^5*T2^8 + 
      3643*T1^6*T2^8 - 6117*T1^7*T2^8 + 3643*T1^8*T2^8 + 1098*T1^9*T2^8 - 
      1039*T1^10*T2^8 + 65*T1^11*T2^8 + 23*T1^12*T2^8 - 31*T1^3*T2^9 + 
      65*T1^4*T2^9 + 671*T1^5*T2^9 - 2100*T1^6*T2^9 + 1098*T1^7*T2^9 + 
      1098*T1^8*T2^9 - 2100*T1^9*T2^9 + 671*T1^10*T2^9 + 65*T1^11*T2^9 - 
      31*T1^12*T2^9 + 23*T1^4*T2^10 - 125*T1^5*T2^10 + 25*T1^6*T2^10 + 
      671*T1^7*T2^10 - 1039*T1^8*T2^10 + 671*T1^9*T2^10 + 25*T1^10*T2^10 - 
      125*T1^11*T2^10 + 23*T1^12*T2^10 - 8*T1^5*T2^11 + 58*T1^6*T2^11 - 
      125*T1^7*T2^11 + 65*T1^8*T2^11 + 65*T1^9*T2^11 - 125*T1^10*T2^11 + 
      58*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
      23*T1^8*T2^12 - 31*T1^9*T2^12 + 23*T1^10*T2^12 - 8*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 401] -> 
  {(1 - 7*T + 21*T^2 - 29*T^3 + 21*T^4 - 7*T^5 + T^6)/T^3, 
   (1 - 7*T1 + 21*T1^2 - 29*T1^3 + 21*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
     44*T1*T2 - 107*T1^2*T2 + 61*T1^3*T2 + 61*T1^4*T2 - 107*T1^5*T2 + 
     44*T1^6*T2 - 7*T1^7*T2 + 21*T2^2 - 107*T1*T2^2 + 153*T1^2*T2^2 + 
     286*T1^3*T2^2 - 579*T1^4*T2^2 + 286*T1^5*T2^2 + 153*T1^6*T2^2 - 
     107*T1^7*T2^2 + 21*T1^8*T2^2 - 29*T2^3 + 61*T1*T2^3 + 286*T1^2*T2^3 - 
     1448*T1^3*T2^3 + 883*T1^4*T2^3 + 883*T1^5*T2^3 - 1448*T1^6*T2^3 + 
     286*T1^7*T2^3 + 61*T1^8*T2^3 - 29*T1^9*T2^3 + 21*T2^4 + 61*T1*T2^4 - 
     579*T1^2*T2^4 + 883*T1^3*T2^4 + 2925*T1^4*T2^4 - 5403*T1^5*T2^4 + 
     2925*T1^6*T2^4 + 883*T1^7*T2^4 - 579*T1^8*T2^4 + 61*T1^9*T2^4 + 
     21*T1^10*T2^4 - 7*T2^5 - 107*T1*T2^5 + 286*T1^2*T2^5 + 883*T1^3*T2^5 - 
     5403*T1^4*T2^5 + 3328*T1^5*T2^5 + 3328*T1^6*T2^5 - 5403*T1^7*T2^5 + 
     883*T1^8*T2^5 + 286*T1^9*T2^5 - 107*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
     44*T1*T2^6 + 153*T1^2*T2^6 - 1448*T1^3*T2^6 + 2925*T1^4*T2^6 + 
     3328*T1^5*T2^6 - 7596*T1^6*T2^6 + 3328*T1^7*T2^6 + 2925*T1^8*T2^6 - 
     1448*T1^9*T2^6 + 153*T1^10*T2^6 + 44*T1^11*T2^6 + T1^12*T2^6 - 
     7*T1*T2^7 - 107*T1^2*T2^7 + 286*T1^3*T2^7 + 883*T1^4*T2^7 - 
     5403*T1^5*T2^7 + 3328*T1^6*T2^7 + 3328*T1^7*T2^7 - 5403*T1^8*T2^7 + 
     883*T1^9*T2^7 + 286*T1^10*T2^7 - 107*T1^11*T2^7 - 7*T1^12*T2^7 + 
     21*T1^2*T2^8 + 61*T1^3*T2^8 - 579*T1^4*T2^8 + 883*T1^5*T2^8 + 
     2925*T1^6*T2^8 - 5403*T1^7*T2^8 + 2925*T1^8*T2^8 + 883*T1^9*T2^8 - 
     579*T1^10*T2^8 + 61*T1^11*T2^8 + 21*T1^12*T2^8 - 29*T1^3*T2^9 + 
     61*T1^4*T2^9 + 286*T1^5*T2^9 - 1448*T1^6*T2^9 + 883*T1^7*T2^9 + 
     883*T1^8*T2^9 - 1448*T1^9*T2^9 + 286*T1^10*T2^9 + 61*T1^11*T2^9 - 
     29*T1^12*T2^9 + 21*T1^4*T2^10 - 107*T1^5*T2^10 + 153*T1^6*T2^10 + 
     286*T1^7*T2^10 - 579*T1^8*T2^10 + 286*T1^9*T2^10 + 153*T1^10*T2^10 - 
     107*T1^11*T2^10 + 21*T1^12*T2^10 - 7*T1^5*T2^11 + 44*T1^6*T2^11 - 
     107*T1^7*T2^11 + 61*T1^8*T2^11 + 61*T1^9*T2^11 - 107*T1^10*T2^11 + 
     44*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
     21*T1^8*T2^12 - 29*T1^9*T2^12 + 21*T1^10*T2^12 - 7*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 402] -> 
  {(1 + T - 3*T^2 + 3*T^3 - 3*T^4 + T^5 + T^6)/T^3, 
   -((3 + 3*T1 - 9*T1^2 + 9*T1^3 - 9*T1^4 + 3*T1^5 + 3*T1^6 + 3*T2 + 
      4*T1*T2 - 4*T1^2*T2 - 4*T1^5*T2 + 4*T1^6*T2 + 3*T1^7*T2 - 9*T2^2 - 
      4*T1*T2^2 + 21*T1^2*T2^2 - 45*T1^3*T2^2 + 61*T1^4*T2^2 - 45*T1^5*T2^2 + 
      21*T1^6*T2^2 - 4*T1^7*T2^2 - 9*T1^8*T2^2 + 9*T2^3 - 45*T1^2*T2^3 + 
      44*T1^3*T2^3 - 12*T1^4*T2^3 - 12*T1^5*T2^3 + 44*T1^6*T2^3 - 
      45*T1^7*T2^3 + 9*T1^9*T2^3 - 9*T2^4 + 61*T1^2*T2^4 - 12*T1^3*T2^4 - 
      25*T1^4*T2^4 + 9*T1^5*T2^4 - 25*T1^6*T2^4 - 12*T1^7*T2^4 + 
      61*T1^8*T2^4 - 9*T1^10*T2^4 + 3*T2^5 - 4*T1*T2^5 - 45*T1^2*T2^5 - 
      12*T1^3*T2^5 + 9*T1^4*T2^5 + 14*T1^5*T2^5 + 14*T1^6*T2^5 + 
      9*T1^7*T2^5 - 12*T1^8*T2^5 - 45*T1^9*T2^5 - 4*T1^10*T2^5 + 
      3*T1^11*T2^5 + 3*T2^6 + 4*T1*T2^6 + 21*T1^2*T2^6 + 44*T1^3*T2^6 - 
      25*T1^4*T2^6 + 14*T1^5*T2^6 - 36*T1^6*T2^6 + 14*T1^7*T2^6 - 
      25*T1^8*T2^6 + 44*T1^9*T2^6 + 21*T1^10*T2^6 + 4*T1^11*T2^6 + 
      3*T1^12*T2^6 + 3*T1*T2^7 - 4*T1^2*T2^7 - 45*T1^3*T2^7 - 12*T1^4*T2^7 + 
      9*T1^5*T2^7 + 14*T1^6*T2^7 + 14*T1^7*T2^7 + 9*T1^8*T2^7 - 
      12*T1^9*T2^7 - 45*T1^10*T2^7 - 4*T1^11*T2^7 + 3*T1^12*T2^7 - 
      9*T1^2*T2^8 + 61*T1^4*T2^8 - 12*T1^5*T2^8 - 25*T1^6*T2^8 + 
      9*T1^7*T2^8 - 25*T1^8*T2^8 - 12*T1^9*T2^8 + 61*T1^10*T2^8 - 
      9*T1^12*T2^8 + 9*T1^3*T2^9 - 45*T1^5*T2^9 + 44*T1^6*T2^9 - 
      12*T1^7*T2^9 - 12*T1^8*T2^9 + 44*T1^9*T2^9 - 45*T1^10*T2^9 + 
      9*T1^12*T2^9 - 9*T1^4*T2^10 - 4*T1^5*T2^10 + 21*T1^6*T2^10 - 
      45*T1^7*T2^10 + 61*T1^8*T2^10 - 45*T1^9*T2^10 + 21*T1^10*T2^10 - 
      4*T1^11*T2^10 - 9*T1^12*T2^10 + 3*T1^5*T2^11 + 4*T1^6*T2^11 - 
      4*T1^7*T2^11 - 4*T1^10*T2^11 + 4*T1^11*T2^11 + 3*T1^12*T2^11 + 
      3*T1^6*T2^12 + 3*T1^7*T2^12 - 9*T1^8*T2^12 + 9*T1^9*T2^12 - 
      9*T1^10*T2^12 + 3*T1^11*T2^12 + 3*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 403] -> 
  {-((1 - 3*T + T^2 + T^3 + T^4 - 3*T^5 + T^6)/T^3), 
   (2*(1 - 3*T1 + T1^2 + T1^3 + T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 + 
      6*T1^2*T2 - 6*T1^3*T2 - 6*T1^4*T2 + 6*T1^5*T2 + 6*T1^6*T2 - 3*T1^7*T2 + 
      T2^2 + 6*T1*T2^2 - 24*T1^2*T2^2 + 3*T1^3*T2^2 + 16*T1^4*T2^2 + 
      3*T1^5*T2^2 - 24*T1^6*T2^2 + 6*T1^7*T2^2 + T1^8*T2^2 + T2^3 - 
      6*T1*T2^3 + 3*T1^2*T2^3 + 22*T1^3*T2^3 - 16*T1^4*T2^3 - 16*T1^5*T2^3 + 
      22*T1^6*T2^3 + 3*T1^7*T2^3 - 6*T1^8*T2^3 + T1^9*T2^3 + T2^4 - 
      6*T1*T2^4 + 16*T1^2*T2^4 - 16*T1^3*T2^4 + 2*T1^4*T2^4 + 10*T1^5*T2^4 + 
      2*T1^6*T2^4 - 16*T1^7*T2^4 + 16*T1^8*T2^4 - 6*T1^9*T2^4 + T1^10*T2^4 - 
      3*T2^5 + 6*T1*T2^5 + 3*T1^2*T2^5 - 16*T1^3*T2^5 + 10*T1^4*T2^5 - 
      7*T1^5*T2^5 - 7*T1^6*T2^5 + 10*T1^7*T2^5 - 16*T1^8*T2^5 + 3*T1^9*T2^5 + 
      6*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 6*T1*T2^6 - 24*T1^2*T2^6 + 
      22*T1^3*T2^6 + 2*T1^4*T2^6 - 7*T1^5*T2^6 + 18*T1^6*T2^6 - 7*T1^7*T2^6 + 
      2*T1^8*T2^6 + 22*T1^9*T2^6 - 24*T1^10*T2^6 + 6*T1^11*T2^6 + 
      T1^12*T2^6 - 3*T1*T2^7 + 6*T1^2*T2^7 + 3*T1^3*T2^7 - 16*T1^4*T2^7 + 
      10*T1^5*T2^7 - 7*T1^6*T2^7 - 7*T1^7*T2^7 + 10*T1^8*T2^7 - 
      16*T1^9*T2^7 + 3*T1^10*T2^7 + 6*T1^11*T2^7 - 3*T1^12*T2^7 + T1^2*T2^8 - 
      6*T1^3*T2^8 + 16*T1^4*T2^8 - 16*T1^5*T2^8 + 2*T1^6*T2^8 + 
      10*T1^7*T2^8 + 2*T1^8*T2^8 - 16*T1^9*T2^8 + 16*T1^10*T2^8 - 
      6*T1^11*T2^8 + T1^12*T2^8 + T1^3*T2^9 - 6*T1^4*T2^9 + 3*T1^5*T2^9 + 
      22*T1^6*T2^9 - 16*T1^7*T2^9 - 16*T1^8*T2^9 + 22*T1^9*T2^9 + 
      3*T1^10*T2^9 - 6*T1^11*T2^9 + T1^12*T2^9 + T1^4*T2^10 + 6*T1^5*T2^10 - 
      24*T1^6*T2^10 + 3*T1^7*T2^10 + 16*T1^8*T2^10 + 3*T1^9*T2^10 - 
      24*T1^10*T2^10 + 6*T1^11*T2^10 + T1^12*T2^10 - 3*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 - 3*T1^12*T2^11 + 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 + 
      T1^12*T2^12))/(T1^6*T2^6)}, Knot[12, NonAlternating, 404] -> 
  {(2 + T - 5*T^2 + T^3 + 2*T^4)/T^2, 
   -((17 + 9*T1 - 43*T1^2 + 9*T1^3 + 17*T1^4 + 9*T2 - 2*T1*T2 - 2*T1^2*T2 - 
      2*T1^3*T2 - 2*T1^4*T2 + 9*T1^5*T2 - 43*T2^2 - 2*T1*T2^2 + 
      69*T1^2*T2^2 - 87*T1^3*T2^2 + 69*T1^4*T2^2 - 2*T1^5*T2^2 - 
      43*T1^6*T2^2 + 9*T2^3 - 2*T1*T2^3 - 87*T1^2*T2^3 + 68*T1^3*T2^3 + 
      68*T1^4*T2^3 - 87*T1^5*T2^3 - 2*T1^6*T2^3 + 9*T1^7*T2^3 + 17*T2^4 - 
      2*T1*T2^4 + 69*T1^2*T2^4 + 68*T1^3*T2^4 - 216*T1^4*T2^4 + 
      68*T1^5*T2^4 + 69*T1^6*T2^4 - 2*T1^7*T2^4 + 17*T1^8*T2^4 + 9*T1*T2^5 - 
      2*T1^2*T2^5 - 87*T1^3*T2^5 + 68*T1^4*T2^5 + 68*T1^5*T2^5 - 
      87*T1^6*T2^5 - 2*T1^7*T2^5 + 9*T1^8*T2^5 - 43*T1^2*T2^6 - 2*T1^3*T2^6 + 
      69*T1^4*T2^6 - 87*T1^5*T2^6 + 69*T1^6*T2^6 - 2*T1^7*T2^6 - 
      43*T1^8*T2^6 + 9*T1^3*T2^7 - 2*T1^4*T2^7 - 2*T1^5*T2^7 - 2*T1^6*T2^7 - 
      2*T1^7*T2^7 + 9*T1^8*T2^7 + 17*T1^4*T2^8 + 9*T1^5*T2^8 - 43*T1^6*T2^8 + 
      9*T1^7*T2^8 + 17*T1^8*T2^8)/(T1^4*T2^4))}, 
 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, 
   (2 - 12*T1 + 26*T1^2 - 24*T1^3 + 18*T1^4 - 24*T1^5 + 26*T1^6 - 12*T1^7 + 
     2*T1^8 - 12*T2 + 60*T1*T2 - 84*T1^2*T2 - 12*T1^3*T2 + 36*T1^4*T2 + 
     36*T1^5*T2 - 12*T1^6*T2 - 84*T1^7*T2 + 60*T1^8*T2 - 12*T1^9*T2 + 
     26*T2^2 - 84*T1*T2^2 - 68*T1^2*T2^2 + 467*T1^3*T2^2 - 290*T1^4*T2^2 + 
     22*T1^5*T2^2 - 290*T1^6*T2^2 + 467*T1^7*T2^2 - 68*T1^8*T2^2 - 
     84*T1^9*T2^2 + 26*T1^10*T2^2 - 24*T2^3 - 12*T1*T2^3 + 467*T1^2*T2^3 - 
     816*T1^3*T2^3 - 241*T1^4*T2^3 + 449*T1^5*T2^3 + 449*T1^6*T2^3 - 
     241*T1^7*T2^3 - 816*T1^8*T2^3 + 467*T1^9*T2^3 - 12*T1^10*T2^3 - 
     24*T1^11*T2^3 + 18*T2^4 + 36*T1*T2^4 - 290*T1^2*T2^4 - 241*T1^3*T2^4 + 
     1953*T1^4*T2^4 - 1154*T1^5*T2^4 - 29*T1^6*T2^4 - 1154*T1^7*T2^4 + 
     1953*T1^8*T2^4 - 241*T1^9*T2^4 - 290*T1^10*T2^4 + 36*T1^11*T2^4 + 
     18*T1^12*T2^4 - 24*T2^5 + 36*T1*T2^5 + 22*T1^2*T2^5 + 449*T1^3*T2^5 - 
     1154*T1^4*T2^5 - 422*T1^5*T2^5 + 736*T1^6*T2^5 + 736*T1^7*T2^5 - 
     422*T1^8*T2^5 - 1154*T1^9*T2^5 + 449*T1^10*T2^5 + 22*T1^11*T2^5 + 
     36*T1^12*T2^5 - 24*T1^13*T2^5 + 26*T2^6 - 12*T1*T2^6 - 290*T1^2*T2^6 + 
     449*T1^3*T2^6 - 29*T1^4*T2^6 + 736*T1^5*T2^6 - 618*T1^6*T2^6 + 
     148*T1^7*T2^6 - 618*T1^8*T2^6 + 736*T1^9*T2^6 - 29*T1^10*T2^6 + 
     449*T1^11*T2^6 - 290*T1^12*T2^6 - 12*T1^13*T2^6 + 26*T1^14*T2^6 - 
     12*T2^7 - 84*T1*T2^7 + 467*T1^2*T2^7 - 241*T1^3*T2^7 - 1154*T1^4*T2^7 + 
     736*T1^5*T2^7 + 148*T1^6*T2^7 - 190*T1^7*T2^7 - 190*T1^8*T2^7 + 
     148*T1^9*T2^7 + 736*T1^10*T2^7 - 1154*T1^11*T2^7 - 241*T1^12*T2^7 + 
     467*T1^13*T2^7 - 84*T1^14*T2^7 - 12*T1^15*T2^7 + 2*T2^8 + 60*T1*T2^8 - 
     68*T1^2*T2^8 - 816*T1^3*T2^8 + 1953*T1^4*T2^8 - 422*T1^5*T2^8 - 
     618*T1^6*T2^8 - 190*T1^7*T2^8 + 876*T1^8*T2^8 - 190*T1^9*T2^8 - 
     618*T1^10*T2^8 - 422*T1^11*T2^8 + 1953*T1^12*T2^8 - 816*T1^13*T2^8 - 
     68*T1^14*T2^8 + 60*T1^15*T2^8 + 2*T1^16*T2^8 - 12*T1*T2^9 - 
     84*T1^2*T2^9 + 467*T1^3*T2^9 - 241*T1^4*T2^9 - 1154*T1^5*T2^9 + 
     736*T1^6*T2^9 + 148*T1^7*T2^9 - 190*T1^8*T2^9 - 190*T1^9*T2^9 + 
     148*T1^10*T2^9 + 736*T1^11*T2^9 - 1154*T1^12*T2^9 - 241*T1^13*T2^9 + 
     467*T1^14*T2^9 - 84*T1^15*T2^9 - 12*T1^16*T2^9 + 26*T1^2*T2^10 - 
     12*T1^3*T2^10 - 290*T1^4*T2^10 + 449*T1^5*T2^10 - 29*T1^6*T2^10 + 
     736*T1^7*T2^10 - 618*T1^8*T2^10 + 148*T1^9*T2^10 - 618*T1^10*T2^10 + 
     736*T1^11*T2^10 - 29*T1^12*T2^10 + 449*T1^13*T2^10 - 290*T1^14*T2^10 - 
     12*T1^15*T2^10 + 26*T1^16*T2^10 - 24*T1^3*T2^11 + 36*T1^4*T2^11 + 
     22*T1^5*T2^11 + 449*T1^6*T2^11 - 1154*T1^7*T2^11 - 422*T1^8*T2^11 + 
     736*T1^9*T2^11 + 736*T1^10*T2^11 - 422*T1^11*T2^11 - 1154*T1^12*T2^11 + 
     449*T1^13*T2^11 + 22*T1^14*T2^11 + 36*T1^15*T2^11 - 24*T1^16*T2^11 + 
     18*T1^4*T2^12 + 36*T1^5*T2^12 - 290*T1^6*T2^12 - 241*T1^7*T2^12 + 
     1953*T1^8*T2^12 - 1154*T1^9*T2^12 - 29*T1^10*T2^12 - 1154*T1^11*T2^12 + 
     1953*T1^12*T2^12 - 241*T1^13*T2^12 - 290*T1^14*T2^12 + 36*T1^15*T2^12 + 
     18*T1^16*T2^12 - 24*T1^5*T2^13 - 12*T1^6*T2^13 + 467*T1^7*T2^13 - 
     816*T1^8*T2^13 - 241*T1^9*T2^13 + 449*T1^10*T2^13 + 449*T1^11*T2^13 - 
     241*T1^12*T2^13 - 816*T1^13*T2^13 + 467*T1^14*T2^13 - 12*T1^15*T2^13 - 
     24*T1^16*T2^13 + 26*T1^6*T2^14 - 84*T1^7*T2^14 - 68*T1^8*T2^14 + 
     467*T1^9*T2^14 - 290*T1^10*T2^14 + 22*T1^11*T2^14 - 290*T1^12*T2^14 + 
     467*T1^13*T2^14 - 68*T1^14*T2^14 - 84*T1^15*T2^14 + 26*T1^16*T2^14 - 
     12*T1^7*T2^15 + 60*T1^8*T2^15 - 84*T1^9*T2^15 - 12*T1^10*T2^15 + 
     36*T1^11*T2^15 + 36*T1^12*T2^15 - 12*T1^13*T2^15 - 84*T1^14*T2^15 + 
     60*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)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 406] -> 
  {(5 - 13*T + 16*T^2 - 15*T^3 + 16*T^4 - 13*T^5 + 5*T^6)/T^3, 
   (395 - 1005*T1 + 1215*T1^2 - 1123*T1^3 + 1215*T1^4 - 1005*T1^5 + 
     395*T1^6 - 1005*T2 + 1562*T1*T2 - 543*T1^2*T2 - 231*T1^3*T2 - 
     231*T1^4*T2 - 543*T1^5*T2 + 1562*T1^6*T2 - 1005*T1^7*T2 + 1215*T2^2 - 
     543*T1*T2^2 - 1679*T1^2*T2^2 + 1617*T1^3*T2^2 - 177*T1^4*T2^2 + 
     1617*T1^5*T2^2 - 1679*T1^6*T2^2 - 543*T1^7*T2^2 + 1215*T1^8*T2^2 - 
     1123*T2^3 - 231*T1*T2^3 + 1617*T1^2*T2^3 - 10*T1^3*T2^3 - 
     1091*T1^4*T2^3 - 1091*T1^5*T2^3 - 10*T1^6*T2^3 + 1617*T1^7*T2^3 - 
     231*T1^8*T2^3 - 1123*T1^9*T2^3 + 1215*T2^4 - 231*T1*T2^4 - 
     177*T1^2*T2^4 - 1091*T1^3*T2^4 + 1123*T1^4*T2^4 + 497*T1^5*T2^4 + 
     1123*T1^6*T2^4 - 1091*T1^7*T2^4 - 177*T1^8*T2^4 - 231*T1^9*T2^4 + 
     1215*T1^10*T2^4 - 1005*T2^5 - 543*T1*T2^5 + 1617*T1^2*T2^5 - 
     1091*T1^3*T2^5 + 497*T1^4*T2^5 - 744*T1^5*T2^5 - 744*T1^6*T2^5 + 
     497*T1^7*T2^5 - 1091*T1^8*T2^5 + 1617*T1^9*T2^5 - 543*T1^10*T2^5 - 
     1005*T1^11*T2^5 + 395*T2^6 + 1562*T1*T2^6 - 1679*T1^2*T2^6 - 
     10*T1^3*T2^6 + 1123*T1^4*T2^6 - 744*T1^5*T2^6 + 1392*T1^6*T2^6 - 
     744*T1^7*T2^6 + 1123*T1^8*T2^6 - 10*T1^9*T2^6 - 1679*T1^10*T2^6 + 
     1562*T1^11*T2^6 + 395*T1^12*T2^6 - 1005*T1*T2^7 - 543*T1^2*T2^7 + 
     1617*T1^3*T2^7 - 1091*T1^4*T2^7 + 497*T1^5*T2^7 - 744*T1^6*T2^7 - 
     744*T1^7*T2^7 + 497*T1^8*T2^7 - 1091*T1^9*T2^7 + 1617*T1^10*T2^7 - 
     543*T1^11*T2^7 - 1005*T1^12*T2^7 + 1215*T1^2*T2^8 - 231*T1^3*T2^8 - 
     177*T1^4*T2^8 - 1091*T1^5*T2^8 + 1123*T1^6*T2^8 + 497*T1^7*T2^8 + 
     1123*T1^8*T2^8 - 1091*T1^9*T2^8 - 177*T1^10*T2^8 - 231*T1^11*T2^8 + 
     1215*T1^12*T2^8 - 1123*T1^3*T2^9 - 231*T1^4*T2^9 + 1617*T1^5*T2^9 - 
     10*T1^6*T2^9 - 1091*T1^7*T2^9 - 1091*T1^8*T2^9 - 10*T1^9*T2^9 + 
     1617*T1^10*T2^9 - 231*T1^11*T2^9 - 1123*T1^12*T2^9 + 1215*T1^4*T2^10 - 
     543*T1^5*T2^10 - 1679*T1^6*T2^10 + 1617*T1^7*T2^10 - 177*T1^8*T2^10 + 
     1617*T1^9*T2^10 - 1679*T1^10*T2^10 - 543*T1^11*T2^10 + 
     1215*T1^12*T2^10 - 1005*T1^5*T2^11 + 1562*T1^6*T2^11 - 543*T1^7*T2^11 - 
     231*T1^8*T2^11 - 231*T1^9*T2^11 - 543*T1^10*T2^11 + 1562*T1^11*T2^11 - 
     1005*T1^12*T2^11 + 395*T1^6*T2^12 - 1005*T1^7*T2^12 + 1215*T1^8*T2^12 - 
     1123*T1^9*T2^12 + 1215*T1^10*T2^12 - 1005*T1^11*T2^12 + 395*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 407] -> 
  {-((1 - 5*T + 8*T^2 - 9*T^3 + 8*T^4 - 5*T^5 + T^6)/T^3), 
   -((2 - 10*T1 + 16*T1^2 - 18*T1^3 + 16*T1^4 - 10*T1^5 + 2*T1^6 - 10*T2 + 
      42*T1*T2 - 32*T1^2*T2 + 12*T1^3*T2 + 12*T1^4*T2 - 32*T1^5*T2 + 
      42*T1^6*T2 - 10*T1^7*T2 + 16*T2^2 - 32*T1*T2^2 - 114*T1^2*T2^2 + 
      190*T1^3*T2^2 - 218*T1^4*T2^2 + 190*T1^5*T2^2 - 114*T1^6*T2^2 - 
      32*T1^7*T2^2 + 16*T1^8*T2^2 - 18*T2^3 + 12*T1*T2^3 + 190*T1^2*T2^3 - 
      122*T1^3*T2^3 + 47*T1^4*T2^3 + 47*T1^5*T2^3 - 122*T1^6*T2^3 + 
      190*T1^7*T2^3 + 12*T1^8*T2^3 - 18*T1^9*T2^3 + 16*T2^4 + 12*T1*T2^4 - 
      218*T1^2*T2^4 + 47*T1^3*T2^4 - 21*T1^4*T2^4 - 11*T1^5*T2^4 - 
      21*T1^6*T2^4 + 47*T1^7*T2^4 - 218*T1^8*T2^4 + 12*T1^9*T2^4 + 
      16*T1^10*T2^4 - 10*T2^5 - 32*T1*T2^5 + 190*T1^2*T2^5 + 47*T1^3*T2^5 - 
      11*T1^4*T2^5 + 28*T1^5*T2^5 + 28*T1^6*T2^5 - 11*T1^7*T2^5 + 
      47*T1^8*T2^5 + 190*T1^9*T2^5 - 32*T1^10*T2^5 - 10*T1^11*T2^5 + 2*T2^6 + 
      42*T1*T2^6 - 114*T1^2*T2^6 - 122*T1^3*T2^6 - 21*T1^4*T2^6 + 
      28*T1^5*T2^6 - 84*T1^6*T2^6 + 28*T1^7*T2^6 - 21*T1^8*T2^6 - 
      122*T1^9*T2^6 - 114*T1^10*T2^6 + 42*T1^11*T2^6 + 2*T1^12*T2^6 - 
      10*T1*T2^7 - 32*T1^2*T2^7 + 190*T1^3*T2^7 + 47*T1^4*T2^7 - 
      11*T1^5*T2^7 + 28*T1^6*T2^7 + 28*T1^7*T2^7 - 11*T1^8*T2^7 + 
      47*T1^9*T2^7 + 190*T1^10*T2^7 - 32*T1^11*T2^7 - 10*T1^12*T2^7 + 
      16*T1^2*T2^8 + 12*T1^3*T2^8 - 218*T1^4*T2^8 + 47*T1^5*T2^8 - 
      21*T1^6*T2^8 - 11*T1^7*T2^8 - 21*T1^8*T2^8 + 47*T1^9*T2^8 - 
      218*T1^10*T2^8 + 12*T1^11*T2^8 + 16*T1^12*T2^8 - 18*T1^3*T2^9 + 
      12*T1^4*T2^9 + 190*T1^5*T2^9 - 122*T1^6*T2^9 + 47*T1^7*T2^9 + 
      47*T1^8*T2^9 - 122*T1^9*T2^9 + 190*T1^10*T2^9 + 12*T1^11*T2^9 - 
      18*T1^12*T2^9 + 16*T1^4*T2^10 - 32*T1^5*T2^10 - 114*T1^6*T2^10 + 
      190*T1^7*T2^10 - 218*T1^8*T2^10 + 190*T1^9*T2^10 - 114*T1^10*T2^10 - 
      32*T1^11*T2^10 + 16*T1^12*T2^10 - 10*T1^5*T2^11 + 42*T1^6*T2^11 - 
      32*T1^7*T2^11 + 12*T1^8*T2^11 + 12*T1^9*T2^11 - 32*T1^10*T2^11 + 
      42*T1^11*T2^11 - 10*T1^12*T2^11 + 2*T1^6*T2^12 - 10*T1^7*T2^12 + 
      16*T1^8*T2^12 - 18*T1^9*T2^12 + 16*T1^10*T2^12 - 10*T1^11*T2^12 + 
      2*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 408] -> 
  {-((1 - 9*T + 24*T^2 - 33*T^3 + 24*T^4 - 9*T^5 + T^6)/T^3), 
   (2 - 2*T1 + 2*T1^2 + 2*T1^3 - 2*T1^4 + 2*T1^5 - 2*T2 - 72*T1*T2 + 
     198*T1^2*T2 - 294*T1^3*T2 + 198*T1^4*T2 - 72*T1^5*T2 - 2*T1^6*T2 + 
     2*T2^2 + 198*T1*T2^2 - 336*T1^2*T2^2 + 249*T1^3*T2^2 + 249*T1^4*T2^2 - 
     336*T1^5*T2^2 + 198*T1^6*T2^2 + 2*T1^7*T2^2 + 2*T2^3 - 294*T1*T2^3 + 
     249*T1^2*T2^3 - 75*T1^3*T2^3 - 411*T1^4*T2^3 - 75*T1^5*T2^3 + 
     249*T1^6*T2^3 - 294*T1^7*T2^3 + 2*T1^8*T2^3 - 2*T2^4 + 198*T1*T2^4 + 
     249*T1^2*T2^4 - 411*T1^3*T2^4 + 558*T1^4*T2^4 + 558*T1^5*T2^4 - 
     411*T1^6*T2^4 + 249*T1^7*T2^4 + 198*T1^8*T2^4 - 2*T1^9*T2^4 + 2*T2^5 - 
     72*T1*T2^5 - 336*T1^2*T2^5 - 75*T1^3*T2^5 + 558*T1^4*T2^5 - 
     1596*T1^5*T2^5 + 558*T1^6*T2^5 - 75*T1^7*T2^5 - 336*T1^8*T2^5 - 
     72*T1^9*T2^5 + 2*T1^10*T2^5 - 2*T1*T2^6 + 198*T1^2*T2^6 + 
     249*T1^3*T2^6 - 411*T1^4*T2^6 + 558*T1^5*T2^6 + 558*T1^6*T2^6 - 
     411*T1^7*T2^6 + 249*T1^8*T2^6 + 198*T1^9*T2^6 - 2*T1^10*T2^6 + 
     2*T1^2*T2^7 - 294*T1^3*T2^7 + 249*T1^4*T2^7 - 75*T1^5*T2^7 - 
     411*T1^6*T2^7 - 75*T1^7*T2^7 + 249*T1^8*T2^7 - 294*T1^9*T2^7 + 
     2*T1^10*T2^7 + 2*T1^3*T2^8 + 198*T1^4*T2^8 - 336*T1^5*T2^8 + 
     249*T1^6*T2^8 + 249*T1^7*T2^8 - 336*T1^8*T2^8 + 198*T1^9*T2^8 + 
     2*T1^10*T2^8 - 2*T1^4*T2^9 - 72*T1^5*T2^9 + 198*T1^6*T2^9 - 
     294*T1^7*T2^9 + 198*T1^8*T2^9 - 72*T1^9*T2^9 - 2*T1^10*T2^9 + 
     2*T1^5*T2^10 - 2*T1^6*T2^10 + 2*T1^7*T2^10 + 2*T1^8*T2^10 - 
     2*T1^9*T2^10 + 2*T1^10*T2^10)/(T1^5*T2^5)}, 
 Knot[12, NonAlternating, 409] -> 
  {(1 - 3*T + 9*T^2 - 13*T^3 + 9*T^4 - 3*T^5 + T^6)/T^3, 
   -((1 - 3*T1 + 9*T1^2 - 13*T1^3 + 9*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 - 
      18*T1^2*T2 + 12*T1^3*T2 + 12*T1^4*T2 - 18*T1^5*T2 + 6*T1^6*T2 - 
      3*T1^7*T2 + 9*T2^2 - 18*T1*T2^2 + 95*T1^2*T2^2 - 130*T1^3*T2^2 + 
      127*T1^4*T2^2 - 130*T1^5*T2^2 + 95*T1^6*T2^2 - 18*T1^7*T2^2 + 
      9*T1^8*T2^2 - 13*T2^3 + 12*T1*T2^3 - 130*T1^2*T2^3 + 58*T1^3*T2^3 + 
      5*T1^4*T2^3 + 5*T1^5*T2^3 + 58*T1^6*T2^3 - 130*T1^7*T2^3 + 
      12*T1^8*T2^3 - 13*T1^9*T2^3 + 9*T2^4 + 12*T1*T2^4 + 127*T1^2*T2^4 + 
      5*T1^3*T2^4 + 241*T1^4*T2^4 - 469*T1^5*T2^4 + 241*T1^6*T2^4 + 
      5*T1^7*T2^4 + 127*T1^8*T2^4 + 12*T1^9*T2^4 + 9*T1^10*T2^4 - 3*T2^5 - 
      18*T1*T2^5 - 130*T1^2*T2^5 + 5*T1^3*T2^5 - 469*T1^4*T2^5 + 
      348*T1^5*T2^5 + 348*T1^6*T2^5 - 469*T1^7*T2^5 + 5*T1^8*T2^5 - 
      130*T1^9*T2^5 - 18*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 6*T1*T2^6 + 
      95*T1^2*T2^6 + 58*T1^3*T2^6 + 241*T1^4*T2^6 + 348*T1^5*T2^6 - 
      864*T1^6*T2^6 + 348*T1^7*T2^6 + 241*T1^8*T2^6 + 58*T1^9*T2^6 + 
      95*T1^10*T2^6 + 6*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 - 18*T1^2*T2^7 - 
      130*T1^3*T2^7 + 5*T1^4*T2^7 - 469*T1^5*T2^7 + 348*T1^6*T2^7 + 
      348*T1^7*T2^7 - 469*T1^8*T2^7 + 5*T1^9*T2^7 - 130*T1^10*T2^7 - 
      18*T1^11*T2^7 - 3*T1^12*T2^7 + 9*T1^2*T2^8 + 12*T1^3*T2^8 + 
      127*T1^4*T2^8 + 5*T1^5*T2^8 + 241*T1^6*T2^8 - 469*T1^7*T2^8 + 
      241*T1^8*T2^8 + 5*T1^9*T2^8 + 127*T1^10*T2^8 + 12*T1^11*T2^8 + 
      9*T1^12*T2^8 - 13*T1^3*T2^9 + 12*T1^4*T2^9 - 130*T1^5*T2^9 + 
      58*T1^6*T2^9 + 5*T1^7*T2^9 + 5*T1^8*T2^9 + 58*T1^9*T2^9 - 
      130*T1^10*T2^9 + 12*T1^11*T2^9 - 13*T1^12*T2^9 + 9*T1^4*T2^10 - 
      18*T1^5*T2^10 + 95*T1^6*T2^10 - 130*T1^7*T2^10 + 127*T1^8*T2^10 - 
      130*T1^9*T2^10 + 95*T1^10*T2^10 - 18*T1^11*T2^10 + 9*T1^12*T2^10 - 
      3*T1^5*T2^11 + 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 - 3*T1^12*T2^11 + 
      T1^6*T2^12 - 3*T1^7*T2^12 + 9*T1^8*T2^12 - 13*T1^9*T2^12 + 
      9*T1^10*T2^12 - 3*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 410] -> 
  {(2 - 10*T + 26*T^2 - 35*T^3 + 26*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (9 - 44*T1 + 114*T1^2 - 153*T1^3 + 114*T1^4 - 44*T1^5 + 9*T1^6 - 44*T2 + 
     172*T1*T2 - 343*T1^2*T2 + 191*T1^3*T2 + 191*T1^4*T2 - 343*T1^5*T2 + 
     172*T1^6*T2 - 44*T1^7*T2 + 114*T2^2 - 343*T1*T2^2 + 485*T1^2*T2^2 + 
     301*T1^3*T2^2 - 877*T1^4*T2^2 + 301*T1^5*T2^2 + 485*T1^6*T2^2 - 
     343*T1^7*T2^2 + 114*T1^8*T2^2 - 153*T2^3 + 191*T1*T2^3 + 301*T1^2*T2^3 - 
     2038*T1^3*T2^3 + 1331*T1^4*T2^3 + 1331*T1^5*T2^3 - 2038*T1^6*T2^3 + 
     301*T1^7*T2^3 + 191*T1^8*T2^3 - 153*T1^9*T2^3 + 114*T2^4 + 191*T1*T2^4 - 
     877*T1^2*T2^4 + 1331*T1^3*T2^4 + 3473*T1^4*T2^4 - 6879*T1^5*T2^4 + 
     3473*T1^6*T2^4 + 1331*T1^7*T2^4 - 877*T1^8*T2^4 + 191*T1^9*T2^4 + 
     114*T1^10*T2^4 - 44*T2^5 - 343*T1*T2^5 + 301*T1^2*T2^5 + 
     1331*T1^3*T2^5 - 6879*T1^4*T2^5 + 4398*T1^5*T2^5 + 4398*T1^6*T2^5 - 
     6879*T1^7*T2^5 + 1331*T1^8*T2^5 + 301*T1^9*T2^5 - 343*T1^10*T2^5 - 
     44*T1^11*T2^5 + 9*T2^6 + 172*T1*T2^6 + 485*T1^2*T2^6 - 2038*T1^3*T2^6 + 
     3473*T1^4*T2^6 + 4398*T1^5*T2^6 - 10140*T1^6*T2^6 + 4398*T1^7*T2^6 + 
     3473*T1^8*T2^6 - 2038*T1^9*T2^6 + 485*T1^10*T2^6 + 172*T1^11*T2^6 + 
     9*T1^12*T2^6 - 44*T1*T2^7 - 343*T1^2*T2^7 + 301*T1^3*T2^7 + 
     1331*T1^4*T2^7 - 6879*T1^5*T2^7 + 4398*T1^6*T2^7 + 4398*T1^7*T2^7 - 
     6879*T1^8*T2^7 + 1331*T1^9*T2^7 + 301*T1^10*T2^7 - 343*T1^11*T2^7 - 
     44*T1^12*T2^7 + 114*T1^2*T2^8 + 191*T1^3*T2^8 - 877*T1^4*T2^8 + 
     1331*T1^5*T2^8 + 3473*T1^6*T2^8 - 6879*T1^7*T2^8 + 3473*T1^8*T2^8 + 
     1331*T1^9*T2^8 - 877*T1^10*T2^8 + 191*T1^11*T2^8 + 114*T1^12*T2^8 - 
     153*T1^3*T2^9 + 191*T1^4*T2^9 + 301*T1^5*T2^9 - 2038*T1^6*T2^9 + 
     1331*T1^7*T2^9 + 1331*T1^8*T2^9 - 2038*T1^9*T2^9 + 301*T1^10*T2^9 + 
     191*T1^11*T2^9 - 153*T1^12*T2^9 + 114*T1^4*T2^10 - 343*T1^5*T2^10 + 
     485*T1^6*T2^10 + 301*T1^7*T2^10 - 877*T1^8*T2^10 + 301*T1^9*T2^10 + 
     485*T1^10*T2^10 - 343*T1^11*T2^10 + 114*T1^12*T2^10 - 44*T1^5*T2^11 + 
     172*T1^6*T2^11 - 343*T1^7*T2^11 + 191*T1^8*T2^11 + 191*T1^9*T2^11 - 
     343*T1^10*T2^11 + 172*T1^11*T2^11 - 44*T1^12*T2^11 + 9*T1^6*T2^12 - 
     44*T1^7*T2^12 + 114*T1^8*T2^12 - 153*T1^9*T2^12 + 114*T1^10*T2^12 - 
     44*T1^11*T2^12 + 9*T1^12*T2^12)/(T1^6*T2^6)}, 
 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 - 55*T1^2*T2^2 + 
     105*T1^3*T2^2 - 55*T1^4*T2^2 + 11*T1^5*T2^2 - 8*T1^6*T2^2 + 5*T2^3 + 
     11*T1*T2^3 + 105*T1^2*T2^3 - 96*T1^3*T2^3 - 96*T1^4*T2^3 + 
     105*T1^5*T2^3 + 11*T1^6*T2^3 + 5*T1^7*T2^3 - 22*T1*T2^4 - 55*T1^2*T2^4 - 
     96*T1^3*T2^4 + 264*T1^4*T2^4 - 96*T1^5*T2^4 - 55*T1^6*T2^4 - 
     22*T1^7*T2^4 + 5*T1*T2^5 + 11*T1^2*T2^5 + 105*T1^3*T2^5 - 96*T1^4*T2^5 - 
     96*T1^5*T2^5 + 105*T1^6*T2^5 + 11*T1^7*T2^5 + 5*T1^8*T2^5 - 
     8*T1^2*T2^6 + 11*T1^3*T2^6 - 55*T1^4*T2^6 + 105*T1^5*T2^6 - 
     55*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)/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 412] -> 
  {((2 - 2*T + T^2)*(1 - T + T^2)*(1 - 2*T + 2*T^2))/T^3, 
   -((7 - 29*T1 + 61*T1^2 - 75*T1^3 + 61*T1^4 - 29*T1^5 + 7*T1^6 - 29*T2 + 
      88*T1*T2 - 129*T1^2*T2 + 55*T1^3*T2 + 55*T1^4*T2 - 129*T1^5*T2 + 
      88*T1^6*T2 - 29*T1^7*T2 + 61*T2^2 - 129*T1*T2^2 + 116*T1^2*T2^2 + 
      107*T1^3*T2^2 - 174*T1^4*T2^2 + 107*T1^5*T2^2 + 116*T1^6*T2^2 - 
      129*T1^7*T2^2 + 61*T1^8*T2^2 - 75*T2^3 + 55*T1*T2^3 + 107*T1^2*T2^3 - 
      424*T1^3*T2^3 + 152*T1^4*T2^3 + 152*T1^5*T2^3 - 424*T1^6*T2^3 + 
      107*T1^7*T2^3 + 55*T1^8*T2^3 - 75*T1^9*T2^3 + 61*T2^4 + 55*T1*T2^4 - 
      174*T1^2*T2^4 + 152*T1^3*T2^4 + 701*T1^4*T2^4 - 889*T1^5*T2^4 + 
      701*T1^6*T2^4 + 152*T1^7*T2^4 - 174*T1^8*T2^4 + 55*T1^9*T2^4 + 
      61*T1^10*T2^4 - 29*T2^5 - 129*T1*T2^5 + 107*T1^2*T2^5 + 152*T1^3*T2^5 - 
      889*T1^4*T2^5 + 288*T1^5*T2^5 + 288*T1^6*T2^5 - 889*T1^7*T2^5 + 
      152*T1^8*T2^5 + 107*T1^9*T2^5 - 129*T1^10*T2^5 - 29*T1^11*T2^5 + 
      7*T2^6 + 88*T1*T2^6 + 116*T1^2*T2^6 - 424*T1^3*T2^6 + 701*T1^4*T2^6 + 
      288*T1^5*T2^6 - 432*T1^6*T2^6 + 288*T1^7*T2^6 + 701*T1^8*T2^6 - 
      424*T1^9*T2^6 + 116*T1^10*T2^6 + 88*T1^11*T2^6 + 7*T1^12*T2^6 - 
      29*T1*T2^7 - 129*T1^2*T2^7 + 107*T1^3*T2^7 + 152*T1^4*T2^7 - 
      889*T1^5*T2^7 + 288*T1^6*T2^7 + 288*T1^7*T2^7 - 889*T1^8*T2^7 + 
      152*T1^9*T2^7 + 107*T1^10*T2^7 - 129*T1^11*T2^7 - 29*T1^12*T2^7 + 
      61*T1^2*T2^8 + 55*T1^3*T2^8 - 174*T1^4*T2^8 + 152*T1^5*T2^8 + 
      701*T1^6*T2^8 - 889*T1^7*T2^8 + 701*T1^8*T2^8 + 152*T1^9*T2^8 - 
      174*T1^10*T2^8 + 55*T1^11*T2^8 + 61*T1^12*T2^8 - 75*T1^3*T2^9 + 
      55*T1^4*T2^9 + 107*T1^5*T2^9 - 424*T1^6*T2^9 + 152*T1^7*T2^9 + 
      152*T1^8*T2^9 - 424*T1^9*T2^9 + 107*T1^10*T2^9 + 55*T1^11*T2^9 - 
      75*T1^12*T2^9 + 61*T1^4*T2^10 - 129*T1^5*T2^10 + 116*T1^6*T2^10 + 
      107*T1^7*T2^10 - 174*T1^8*T2^10 + 107*T1^9*T2^10 + 116*T1^10*T2^10 - 
      129*T1^11*T2^10 + 61*T1^12*T2^10 - 29*T1^5*T2^11 + 88*T1^6*T2^11 - 
      129*T1^7*T2^11 + 55*T1^8*T2^11 + 55*T1^9*T2^11 - 129*T1^10*T2^11 + 
      88*T1^11*T2^11 - 29*T1^12*T2^11 + 7*T1^6*T2^12 - 29*T1^7*T2^12 + 
      61*T1^8*T2^12 - 75*T1^9*T2^12 + 61*T1^10*T2^12 - 29*T1^11*T2^12 + 
      7*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 413] -> 
  {((2 - 2*T + T^2)*(1 - T + T^2)*(1 - 2*T + 2*T^2))/T^3, 
   (7 - 28*T1 + 58*T1^2 - 71*T1^3 + 58*T1^4 - 28*T1^5 + 7*T1^6 - 28*T2 + 
     84*T1*T2 - 120*T1^2*T2 + 52*T1^3*T2 + 52*T1^4*T2 - 120*T1^5*T2 + 
     84*T1^6*T2 - 28*T1^7*T2 + 58*T2^2 - 120*T1*T2^2 + 64*T1^2*T2^2 + 
     186*T1^3*T2^2 - 290*T1^4*T2^2 + 186*T1^5*T2^2 + 64*T1^6*T2^2 - 
     120*T1^7*T2^2 + 58*T1^8*T2^2 - 71*T2^3 + 52*T1*T2^3 + 186*T1^2*T2^3 - 
     486*T1^3*T2^3 + 228*T1^4*T2^3 + 228*T1^5*T2^3 - 486*T1^6*T2^3 + 
     186*T1^7*T2^3 + 52*T1^8*T2^3 - 71*T1^9*T2^3 + 58*T2^4 + 52*T1*T2^4 - 
     290*T1^2*T2^4 + 228*T1^3*T2^4 + 511*T1^4*T2^4 - 855*T1^5*T2^4 + 
     511*T1^6*T2^4 + 228*T1^7*T2^4 - 290*T1^8*T2^4 + 52*T1^9*T2^4 + 
     58*T1^10*T2^4 - 28*T2^5 - 120*T1*T2^5 + 186*T1^2*T2^5 + 228*T1^3*T2^5 - 
     855*T1^4*T2^5 + 442*T1^5*T2^5 + 442*T1^6*T2^5 - 855*T1^7*T2^5 + 
     228*T1^8*T2^5 + 186*T1^9*T2^5 - 120*T1^10*T2^5 - 28*T1^11*T2^5 + 
     7*T2^6 + 84*T1*T2^6 + 64*T1^2*T2^6 - 486*T1^3*T2^6 + 511*T1^4*T2^6 + 
     442*T1^5*T2^6 - 948*T1^6*T2^6 + 442*T1^7*T2^6 + 511*T1^8*T2^6 - 
     486*T1^9*T2^6 + 64*T1^10*T2^6 + 84*T1^11*T2^6 + 7*T1^12*T2^6 - 
     28*T1*T2^7 - 120*T1^2*T2^7 + 186*T1^3*T2^7 + 228*T1^4*T2^7 - 
     855*T1^5*T2^7 + 442*T1^6*T2^7 + 442*T1^7*T2^7 - 855*T1^8*T2^7 + 
     228*T1^9*T2^7 + 186*T1^10*T2^7 - 120*T1^11*T2^7 - 28*T1^12*T2^7 + 
     58*T1^2*T2^8 + 52*T1^3*T2^8 - 290*T1^4*T2^8 + 228*T1^5*T2^8 + 
     511*T1^6*T2^8 - 855*T1^7*T2^8 + 511*T1^8*T2^8 + 228*T1^9*T2^8 - 
     290*T1^10*T2^8 + 52*T1^11*T2^8 + 58*T1^12*T2^8 - 71*T1^3*T2^9 + 
     52*T1^4*T2^9 + 186*T1^5*T2^9 - 486*T1^6*T2^9 + 228*T1^7*T2^9 + 
     228*T1^8*T2^9 - 486*T1^9*T2^9 + 186*T1^10*T2^9 + 52*T1^11*T2^9 - 
     71*T1^12*T2^9 + 58*T1^4*T2^10 - 120*T1^5*T2^10 + 64*T1^6*T2^10 + 
     186*T1^7*T2^10 - 290*T1^8*T2^10 + 186*T1^9*T2^10 + 64*T1^10*T2^10 - 
     120*T1^11*T2^10 + 58*T1^12*T2^10 - 28*T1^5*T2^11 + 84*T1^6*T2^11 - 
     120*T1^7*T2^11 + 52*T1^8*T2^11 + 52*T1^9*T2^11 - 120*T1^10*T2^11 + 
     84*T1^11*T2^11 - 28*T1^12*T2^11 + 7*T1^6*T2^12 - 28*T1^7*T2^12 + 
     58*T1^8*T2^12 - 71*T1^9*T2^12 + 58*T1^10*T2^12 - 28*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 414] -> 
  {((2 - 2*T + T^2)*(1 - 2*T + 2*T^2))/T^2, 
   (1 - T1 + T1^2 - T1^3 + T1^4 - T2 + 2*T1*T2 + 2*T1^2*T2 + 2*T1^3*T2 + 
     2*T1^4*T2 - T1^5*T2 + T2^2 + 2*T1*T2^2 - 71*T1^2*T2^2 + 81*T1^3*T2^2 - 
     71*T1^4*T2^2 + 2*T1^5*T2^2 + T1^6*T2^2 - T2^3 + 2*T1*T2^3 + 
     81*T1^2*T2^3 - 10*T1^3*T2^3 - 10*T1^4*T2^3 + 81*T1^5*T2^3 + 
     2*T1^6*T2^3 - T1^7*T2^3 + T2^4 + 2*T1*T2^4 - 71*T1^2*T2^4 - 
     10*T1^3*T2^4 - 36*T1^4*T2^4 - 10*T1^5*T2^4 - 71*T1^6*T2^4 + 
     2*T1^7*T2^4 + T1^8*T2^4 - T1*T2^5 + 2*T1^2*T2^5 + 81*T1^3*T2^5 - 
     10*T1^4*T2^5 - 10*T1^5*T2^5 + 81*T1^6*T2^5 + 2*T1^7*T2^5 - T1^8*T2^5 + 
     T1^2*T2^6 + 2*T1^3*T2^6 - 71*T1^4*T2^6 + 81*T1^5*T2^6 - 71*T1^6*T2^6 + 
     2*T1^7*T2^6 + T1^8*T2^6 - T1^3*T2^7 + 2*T1^4*T2^7 + 2*T1^5*T2^7 + 
     2*T1^6*T2^7 + 2*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)/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 415] -> 
  {(2 - 10*T + 24*T^2 - 31*T^3 + 24*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (9 - 45*T1 + 108*T1^2 - 139*T1^3 + 108*T1^4 - 45*T1^5 + 9*T1^6 - 45*T2 + 
     180*T1*T2 - 316*T1^2*T2 + 156*T1^3*T2 + 156*T1^4*T2 - 316*T1^5*T2 + 
     180*T1^6*T2 - 45*T1^7*T2 + 108*T2^2 - 316*T1*T2^2 + 279*T1^2*T2^2 + 
     500*T1^3*T2^2 - 909*T1^4*T2^2 + 500*T1^5*T2^2 + 279*T1^6*T2^2 - 
     316*T1^7*T2^2 + 108*T1^8*T2^2 - 139*T2^3 + 156*T1*T2^3 + 500*T1^2*T2^3 - 
     1770*T1^3*T2^3 + 919*T1^4*T2^3 + 919*T1^5*T2^3 - 1770*T1^6*T2^3 + 
     500*T1^7*T2^3 + 156*T1^8*T2^3 - 139*T1^9*T2^3 + 108*T2^4 + 156*T1*T2^4 - 
     909*T1^2*T2^4 + 919*T1^3*T2^4 + 2524*T1^4*T2^4 - 4266*T1^5*T2^4 + 
     2524*T1^6*T2^4 + 919*T1^7*T2^4 - 909*T1^8*T2^4 + 156*T1^9*T2^4 + 
     108*T1^10*T2^4 - 45*T2^5 - 316*T1*T2^5 + 500*T1^2*T2^5 + 919*T1^3*T2^5 - 
     4266*T1^4*T2^5 + 2228*T1^5*T2^5 + 2228*T1^6*T2^5 - 4266*T1^7*T2^5 + 
     919*T1^8*T2^5 + 500*T1^9*T2^5 - 316*T1^10*T2^5 - 45*T1^11*T2^5 + 
     9*T2^6 + 180*T1*T2^6 + 279*T1^2*T2^6 - 1770*T1^3*T2^6 + 2524*T1^4*T2^6 + 
     2228*T1^5*T2^6 - 4680*T1^6*T2^6 + 2228*T1^7*T2^6 + 2524*T1^8*T2^6 - 
     1770*T1^9*T2^6 + 279*T1^10*T2^6 + 180*T1^11*T2^6 + 9*T1^12*T2^6 - 
     45*T1*T2^7 - 316*T1^2*T2^7 + 500*T1^3*T2^7 + 919*T1^4*T2^7 - 
     4266*T1^5*T2^7 + 2228*T1^6*T2^7 + 2228*T1^7*T2^7 - 4266*T1^8*T2^7 + 
     919*T1^9*T2^7 + 500*T1^10*T2^7 - 316*T1^11*T2^7 - 45*T1^12*T2^7 + 
     108*T1^2*T2^8 + 156*T1^3*T2^8 - 909*T1^4*T2^8 + 919*T1^5*T2^8 + 
     2524*T1^6*T2^8 - 4266*T1^7*T2^8 + 2524*T1^8*T2^8 + 919*T1^9*T2^8 - 
     909*T1^10*T2^8 + 156*T1^11*T2^8 + 108*T1^12*T2^8 - 139*T1^3*T2^9 + 
     156*T1^4*T2^9 + 500*T1^5*T2^9 - 1770*T1^6*T2^9 + 919*T1^7*T2^9 + 
     919*T1^8*T2^9 - 1770*T1^9*T2^9 + 500*T1^10*T2^9 + 156*T1^11*T2^9 - 
     139*T1^12*T2^9 + 108*T1^4*T2^10 - 316*T1^5*T2^10 + 279*T1^6*T2^10 + 
     500*T1^7*T2^10 - 909*T1^8*T2^10 + 500*T1^9*T2^10 + 279*T1^10*T2^10 - 
     316*T1^11*T2^10 + 108*T1^12*T2^10 - 45*T1^5*T2^11 + 180*T1^6*T2^11 - 
     316*T1^7*T2^11 + 156*T1^8*T2^11 + 156*T1^9*T2^11 - 316*T1^10*T2^11 + 
     180*T1^11*T2^11 - 45*T1^12*T2^11 + 9*T1^6*T2^12 - 45*T1^7*T2^12 + 
     108*T1^8*T2^12 - 139*T1^9*T2^12 + 108*T1^10*T2^12 - 45*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   (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 + 24*T1*T2 - 48*T1^2*T2 + 40*T1^3*T2 - 16*T1^4*T2 - 
     16*T1^5*T2 + 40*T1^6*T2 - 48*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 
     20*T2^2 - 48*T1*T2^2 + 90*T1^2*T2^2 - 50*T1^3*T2^2 + 36*T1^4*T2^2 - 
     26*T1^5*T2^2 + 36*T1^6*T2^2 - 50*T1^7*T2^2 + 90*T1^8*T2^2 - 
     48*T1^9*T2^2 + 20*T1^10*T2^2 - 30*T2^3 + 40*T1*T2^3 - 50*T1^2*T2^3 - 
     88*T1^3*T2^3 + 58*T1^4*T2^3 - 30*T1^5*T2^3 - 30*T1^6*T2^3 + 
     58*T1^7*T2^3 - 88*T1^8*T2^3 - 50*T1^9*T2^3 + 40*T1^10*T2^3 - 
     30*T1^11*T2^3 + 34*T2^4 - 16*T1*T2^4 + 36*T1^2*T2^4 + 58*T1^3*T2^4 + 
     242*T1^4*T2^4 - 366*T1^5*T2^4 + 444*T1^6*T2^4 - 366*T1^7*T2^4 + 
     242*T1^8*T2^4 + 58*T1^9*T2^4 + 36*T1^10*T2^4 - 16*T1^11*T2^4 + 
     34*T1^12*T2^4 - 30*T2^5 - 16*T1*T2^5 - 26*T1^2*T2^5 - 30*T1^3*T2^5 - 
     366*T1^4*T2^5 + 242*T1^5*T2^5 - 119*T1^6*T2^5 - 119*T1^7*T2^5 + 
     242*T1^8*T2^5 - 366*T1^9*T2^5 - 30*T1^10*T2^5 - 26*T1^11*T2^5 - 
     16*T1^12*T2^5 - 30*T1^13*T2^5 + 20*T2^6 + 40*T1*T2^6 + 36*T1^2*T2^6 - 
     30*T1^3*T2^6 + 444*T1^4*T2^6 - 119*T1^5*T2^6 + 47*T1^6*T2^6 + 
     59*T1^7*T2^6 + 47*T1^8*T2^6 - 119*T1^9*T2^6 + 444*T1^10*T2^6 - 
     30*T1^11*T2^6 + 36*T1^12*T2^6 + 40*T1^13*T2^6 + 20*T1^14*T2^6 - 8*T2^7 - 
     48*T1*T2^7 - 50*T1^2*T2^7 + 58*T1^3*T2^7 - 366*T1^4*T2^7 - 
     119*T1^5*T2^7 + 59*T1^6*T2^7 - 74*T1^7*T2^7 - 74*T1^8*T2^7 + 
     59*T1^9*T2^7 - 119*T1^10*T2^7 - 366*T1^11*T2^7 + 58*T1^12*T2^7 - 
     50*T1^13*T2^7 - 48*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 24*T1*T2^8 + 
     90*T1^2*T2^8 - 88*T1^3*T2^8 + 242*T1^4*T2^8 + 242*T1^5*T2^8 + 
     47*T1^6*T2^8 - 74*T1^7*T2^8 + 180*T1^8*T2^8 - 74*T1^9*T2^8 + 
     47*T1^10*T2^8 + 242*T1^11*T2^8 + 242*T1^12*T2^8 - 88*T1^13*T2^8 + 
     90*T1^14*T2^8 + 24*T1^15*T2^8 + 2*T1^16*T2^8 - 8*T1*T2^9 - 
     48*T1^2*T2^9 - 50*T1^3*T2^9 + 58*T1^4*T2^9 - 366*T1^5*T2^9 - 
     119*T1^6*T2^9 + 59*T1^7*T2^9 - 74*T1^8*T2^9 - 74*T1^9*T2^9 + 
     59*T1^10*T2^9 - 119*T1^11*T2^9 - 366*T1^12*T2^9 + 58*T1^13*T2^9 - 
     50*T1^14*T2^9 - 48*T1^15*T2^9 - 8*T1^16*T2^9 + 20*T1^2*T2^10 + 
     40*T1^3*T2^10 + 36*T1^4*T2^10 - 30*T1^5*T2^10 + 444*T1^6*T2^10 - 
     119*T1^7*T2^10 + 47*T1^8*T2^10 + 59*T1^9*T2^10 + 47*T1^10*T2^10 - 
     119*T1^11*T2^10 + 444*T1^12*T2^10 - 30*T1^13*T2^10 + 36*T1^14*T2^10 + 
     40*T1^15*T2^10 + 20*T1^16*T2^10 - 30*T1^3*T2^11 - 16*T1^4*T2^11 - 
     26*T1^5*T2^11 - 30*T1^6*T2^11 - 366*T1^7*T2^11 + 242*T1^8*T2^11 - 
     119*T1^9*T2^11 - 119*T1^10*T2^11 + 242*T1^11*T2^11 - 366*T1^12*T2^11 - 
     30*T1^13*T2^11 - 26*T1^14*T2^11 - 16*T1^15*T2^11 - 30*T1^16*T2^11 + 
     34*T1^4*T2^12 - 16*T1^5*T2^12 + 36*T1^6*T2^12 + 58*T1^7*T2^12 + 
     242*T1^8*T2^12 - 366*T1^9*T2^12 + 444*T1^10*T2^12 - 366*T1^11*T2^12 + 
     242*T1^12*T2^12 + 58*T1^13*T2^12 + 36*T1^14*T2^12 - 16*T1^15*T2^12 + 
     34*T1^16*T2^12 - 30*T1^5*T2^13 + 40*T1^6*T2^13 - 50*T1^7*T2^13 - 
     88*T1^8*T2^13 + 58*T1^9*T2^13 - 30*T1^10*T2^13 - 30*T1^11*T2^13 + 
     58*T1^12*T2^13 - 88*T1^13*T2^13 - 50*T1^14*T2^13 + 40*T1^15*T2^13 - 
     30*T1^16*T2^13 + 20*T1^6*T2^14 - 48*T1^7*T2^14 + 90*T1^8*T2^14 - 
     50*T1^9*T2^14 + 36*T1^10*T2^14 - 26*T1^11*T2^14 + 36*T1^12*T2^14 - 
     50*T1^13*T2^14 + 90*T1^14*T2^14 - 48*T1^15*T2^14 + 20*T1^16*T2^14 - 
     8*T1^7*T2^15 + 24*T1^8*T2^15 - 48*T1^9*T2^15 + 40*T1^10*T2^15 - 
     16*T1^11*T2^15 - 16*T1^12*T2^15 + 40*T1^13*T2^15 - 48*T1^14*T2^15 + 
     24*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)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 417] -> 
  {(1 - 4*T^2 + 9*T^3 - 11*T^4 + 9*T^5 - 4*T^6 + T^8)/T^4, 
   (4 - 16*T1^2 + 36*T1^3 - 44*T1^4 + 36*T1^5 - 16*T1^6 + 4*T1^8 - T1^2*T2 + 
     3*T1^3*T2 - 2*T1^4*T2 - 2*T1^5*T2 + 3*T1^6*T2 - T1^7*T2 - 16*T2^2 - 
     T1*T2^2 + 52*T1^2*T2^2 - 137*T1^3*T2^2 + 203*T1^4*T2^2 - 232*T1^5*T2^2 + 
     203*T1^6*T2^2 - 137*T1^7*T2^2 + 52*T1^8*T2^2 - T1^9*T2^2 - 
     16*T1^10*T2^2 + 36*T2^3 + 3*T1*T2^3 - 137*T1^2*T2^3 + 298*T1^3*T2^3 - 
     297*T1^4*T2^3 + 128*T1^5*T2^3 + 128*T1^6*T2^3 - 297*T1^7*T2^3 + 
     298*T1^8*T2^3 - 137*T1^9*T2^3 + 3*T1^10*T2^3 + 36*T1^11*T2^3 - 44*T2^4 - 
     2*T1*T2^4 + 203*T1^2*T2^4 - 297*T1^3*T2^4 + 125*T1^4*T2^4 + 
     128*T1^5*T2^4 - 237*T1^6*T2^4 + 128*T1^7*T2^4 + 125*T1^8*T2^4 - 
     297*T1^9*T2^4 + 203*T1^10*T2^4 - 2*T1^11*T2^4 - 44*T1^12*T2^4 + 
     36*T2^5 - 2*T1*T2^5 - 232*T1^2*T2^5 + 128*T1^3*T2^5 + 128*T1^4*T2^5 - 
     254*T1^5*T2^5 + 94*T1^6*T2^5 + 94*T1^7*T2^5 - 254*T1^8*T2^5 + 
     128*T1^9*T2^5 + 128*T1^10*T2^5 - 232*T1^11*T2^5 - 2*T1^12*T2^5 + 
     36*T1^13*T2^5 - 16*T2^6 + 3*T1*T2^6 + 203*T1^2*T2^6 + 128*T1^3*T2^6 - 
     237*T1^4*T2^6 + 94*T1^5*T2^6 + 241*T1^6*T2^6 - 271*T1^7*T2^6 + 
     241*T1^8*T2^6 + 94*T1^9*T2^6 - 237*T1^10*T2^6 + 128*T1^11*T2^6 + 
     203*T1^12*T2^6 + 3*T1^13*T2^6 - 16*T1^14*T2^6 - T1*T2^7 - 
     137*T1^2*T2^7 - 297*T1^3*T2^7 + 128*T1^4*T2^7 + 94*T1^5*T2^7 - 
     271*T1^6*T2^7 + 30*T1^7*T2^7 + 30*T1^8*T2^7 - 271*T1^9*T2^7 + 
     94*T1^10*T2^7 + 128*T1^11*T2^7 - 297*T1^12*T2^7 - 137*T1^13*T2^7 - 
     T1^14*T2^7 + 4*T2^8 + 52*T1^2*T2^8 + 298*T1^3*T2^8 + 125*T1^4*T2^8 - 
     254*T1^5*T2^8 + 241*T1^6*T2^8 + 30*T1^7*T2^8 + 60*T1^8*T2^8 + 
     30*T1^9*T2^8 + 241*T1^10*T2^8 - 254*T1^11*T2^8 + 125*T1^12*T2^8 + 
     298*T1^13*T2^8 + 52*T1^14*T2^8 + 4*T1^16*T2^8 - T1^2*T2^9 - 
     137*T1^3*T2^9 - 297*T1^4*T2^9 + 128*T1^5*T2^9 + 94*T1^6*T2^9 - 
     271*T1^7*T2^9 + 30*T1^8*T2^9 + 30*T1^9*T2^9 - 271*T1^10*T2^9 + 
     94*T1^11*T2^9 + 128*T1^12*T2^9 - 297*T1^13*T2^9 - 137*T1^14*T2^9 - 
     T1^15*T2^9 - 16*T1^2*T2^10 + 3*T1^3*T2^10 + 203*T1^4*T2^10 + 
     128*T1^5*T2^10 - 237*T1^6*T2^10 + 94*T1^7*T2^10 + 241*T1^8*T2^10 - 
     271*T1^9*T2^10 + 241*T1^10*T2^10 + 94*T1^11*T2^10 - 237*T1^12*T2^10 + 
     128*T1^13*T2^10 + 203*T1^14*T2^10 + 3*T1^15*T2^10 - 16*T1^16*T2^10 + 
     36*T1^3*T2^11 - 2*T1^4*T2^11 - 232*T1^5*T2^11 + 128*T1^6*T2^11 + 
     128*T1^7*T2^11 - 254*T1^8*T2^11 + 94*T1^9*T2^11 + 94*T1^10*T2^11 - 
     254*T1^11*T2^11 + 128*T1^12*T2^11 + 128*T1^13*T2^11 - 232*T1^14*T2^11 - 
     2*T1^15*T2^11 + 36*T1^16*T2^11 - 44*T1^4*T2^12 - 2*T1^5*T2^12 + 
     203*T1^6*T2^12 - 297*T1^7*T2^12 + 125*T1^8*T2^12 + 128*T1^9*T2^12 - 
     237*T1^10*T2^12 + 128*T1^11*T2^12 + 125*T1^12*T2^12 - 297*T1^13*T2^12 + 
     203*T1^14*T2^12 - 2*T1^15*T2^12 - 44*T1^16*T2^12 + 36*T1^5*T2^13 + 
     3*T1^6*T2^13 - 137*T1^7*T2^13 + 298*T1^8*T2^13 - 297*T1^9*T2^13 + 
     128*T1^10*T2^13 + 128*T1^11*T2^13 - 297*T1^12*T2^13 + 298*T1^13*T2^13 - 
     137*T1^14*T2^13 + 3*T1^15*T2^13 + 36*T1^16*T2^13 - 16*T1^6*T2^14 - 
     T1^7*T2^14 + 52*T1^8*T2^14 - 137*T1^9*T2^14 + 203*T1^10*T2^14 - 
     232*T1^11*T2^14 + 203*T1^12*T2^14 - 137*T1^13*T2^14 + 52*T1^14*T2^14 - 
     T1^15*T2^14 - 16*T1^16*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 + 
     4*T1^8*T2^16 - 16*T1^10*T2^16 + 36*T1^11*T2^16 - 44*T1^12*T2^16 + 
     36*T1^13*T2^16 - 16*T1^14*T2^16 + 4*T1^16*T2^16)/(T1^8*T2^8)}, 
 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), 
   -((3 - 12*T1 + 12*T1^2 - 3*T1^3 - 3*T1^4 - 3*T1^5 + 12*T1^6 - 12*T1^7 + 
      3*T1^8 - 12*T2 + 36*T1*T2 - 36*T1^3*T2 + 24*T1^4*T2 + 24*T1^5*T2 - 
      36*T1^6*T2 + 36*T1^8*T2 - 12*T1^9*T2 + 12*T2^2 - 128*T1^2*T2^2 + 
      124*T1^3*T2^2 - 3*T1^4*T2^2 - 80*T1^5*T2^2 - 3*T1^6*T2^2 + 
      124*T1^7*T2^2 - 128*T1^8*T2^2 + 12*T1^10*T2^2 - 3*T2^3 - 36*T1*T2^3 + 
      124*T1^2*T2^3 + 16*T1^3*T2^3 - 146*T1^4*T2^3 + 93*T1^5*T2^3 + 
      93*T1^6*T2^3 - 146*T1^7*T2^3 + 16*T1^8*T2^3 + 124*T1^9*T2^3 - 
      36*T1^10*T2^3 - 3*T1^11*T2^3 - 3*T2^4 + 24*T1*T2^4 - 3*T1^2*T2^4 - 
      146*T1^3*T2^4 + 139*T1^4*T2^4 + 16*T1^5*T2^4 - 115*T1^6*T2^4 + 
      16*T1^7*T2^4 + 139*T1^8*T2^4 - 146*T1^9*T2^4 - 3*T1^10*T2^4 + 
      24*T1^11*T2^4 - 3*T1^12*T2^4 - 3*T2^5 + 24*T1*T2^5 - 80*T1^2*T2^5 + 
      93*T1^3*T2^5 + 16*T1^4*T2^5 - 118*T1^5*T2^5 + 67*T1^6*T2^5 + 
      67*T1^7*T2^5 - 118*T1^8*T2^5 + 16*T1^9*T2^5 + 93*T1^10*T2^5 - 
      80*T1^11*T2^5 + 24*T1^12*T2^5 - 3*T1^13*T2^5 + 12*T2^6 - 36*T1*T2^6 - 
      3*T1^2*T2^6 + 93*T1^3*T2^6 - 115*T1^4*T2^6 + 67*T1^5*T2^6 + 
      37*T1^6*T2^6 - 83*T1^7*T2^6 + 37*T1^8*T2^6 + 67*T1^9*T2^6 - 
      115*T1^10*T2^6 + 93*T1^11*T2^6 - 3*T1^12*T2^6 - 36*T1^13*T2^6 + 
      12*T1^14*T2^6 - 12*T2^7 + 124*T1^2*T2^7 - 146*T1^3*T2^7 + 
      16*T1^4*T2^7 + 67*T1^5*T2^7 - 83*T1^6*T2^7 + 32*T1^7*T2^7 + 
      32*T1^8*T2^7 - 83*T1^9*T2^7 + 67*T1^10*T2^7 + 16*T1^11*T2^7 - 
      146*T1^12*T2^7 + 124*T1^13*T2^7 - 12*T1^15*T2^7 + 3*T2^8 + 36*T1*T2^8 - 
      128*T1^2*T2^8 + 16*T1^3*T2^8 + 139*T1^4*T2^8 - 118*T1^5*T2^8 + 
      37*T1^6*T2^8 + 32*T1^7*T2^8 - 48*T1^8*T2^8 + 32*T1^9*T2^8 + 
      37*T1^10*T2^8 - 118*T1^11*T2^8 + 139*T1^12*T2^8 + 16*T1^13*T2^8 - 
      128*T1^14*T2^8 + 36*T1^15*T2^8 + 3*T1^16*T2^8 - 12*T1*T2^9 + 
      124*T1^3*T2^9 - 146*T1^4*T2^9 + 16*T1^5*T2^9 + 67*T1^6*T2^9 - 
      83*T1^7*T2^9 + 32*T1^8*T2^9 + 32*T1^9*T2^9 - 83*T1^10*T2^9 + 
      67*T1^11*T2^9 + 16*T1^12*T2^9 - 146*T1^13*T2^9 + 124*T1^14*T2^9 - 
      12*T1^16*T2^9 + 12*T1^2*T2^10 - 36*T1^3*T2^10 - 3*T1^4*T2^10 + 
      93*T1^5*T2^10 - 115*T1^6*T2^10 + 67*T1^7*T2^10 + 37*T1^8*T2^10 - 
      83*T1^9*T2^10 + 37*T1^10*T2^10 + 67*T1^11*T2^10 - 115*T1^12*T2^10 + 
      93*T1^13*T2^10 - 3*T1^14*T2^10 - 36*T1^15*T2^10 + 12*T1^16*T2^10 - 
      3*T1^3*T2^11 + 24*T1^4*T2^11 - 80*T1^5*T2^11 + 93*T1^6*T2^11 + 
      16*T1^7*T2^11 - 118*T1^8*T2^11 + 67*T1^9*T2^11 + 67*T1^10*T2^11 - 
      118*T1^11*T2^11 + 16*T1^12*T2^11 + 93*T1^13*T2^11 - 80*T1^14*T2^11 + 
      24*T1^15*T2^11 - 3*T1^16*T2^11 - 3*T1^4*T2^12 + 24*T1^5*T2^12 - 
      3*T1^6*T2^12 - 146*T1^7*T2^12 + 139*T1^8*T2^12 + 16*T1^9*T2^12 - 
      115*T1^10*T2^12 + 16*T1^11*T2^12 + 139*T1^12*T2^12 - 146*T1^13*T2^12 - 
      3*T1^14*T2^12 + 24*T1^15*T2^12 - 3*T1^16*T2^12 - 3*T1^5*T2^13 - 
      36*T1^6*T2^13 + 124*T1^7*T2^13 + 16*T1^8*T2^13 - 146*T1^9*T2^13 + 
      93*T1^10*T2^13 + 93*T1^11*T2^13 - 146*T1^12*T2^13 + 16*T1^13*T2^13 + 
      124*T1^14*T2^13 - 36*T1^15*T2^13 - 3*T1^16*T2^13 + 12*T1^6*T2^14 - 
      128*T1^8*T2^14 + 124*T1^9*T2^14 - 3*T1^10*T2^14 - 80*T1^11*T2^14 - 
      3*T1^12*T2^14 + 124*T1^13*T2^14 - 128*T1^14*T2^14 + 12*T1^16*T2^14 - 
      12*T1^7*T2^15 + 36*T1^8*T2^15 - 36*T1^10*T2^15 + 24*T1^11*T2^15 + 
      24*T1^12*T2^15 - 36*T1^13*T2^15 + 36*T1^15*T2^15 - 12*T1^16*T2^15 + 
      3*T1^8*T2^16 - 12*T1^9*T2^16 + 12*T1^10*T2^16 - 3*T1^11*T2^16 - 
      3*T1^12*T2^16 - 3*T1^13*T2^16 + 12*T1^14*T2^16 - 12*T1^15*T2^16 + 
      3*T1^16*T2^16)/(T1^8*T2^8))}, 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), 
   -((3 - 12*T1 + 9*T1^2 + 9*T1^3 - 21*T1^4 + 9*T1^5 + 9*T1^6 - 12*T1^7 + 
      3*T1^8 - 12*T2 + 36*T1*T2 + 12*T1^2*T2 - 72*T1^3*T2 + 48*T1^4*T2 + 
      48*T1^5*T2 - 72*T1^6*T2 + 12*T1^7*T2 + 36*T1^8*T2 - 12*T1^9*T2 + 
      9*T2^2 + 12*T1*T2^2 - 151*T1^2*T2^2 + 127*T1^3*T2^2 + 108*T1^4*T2^2 - 
      275*T1^5*T2^2 + 108*T1^6*T2^2 + 127*T1^7*T2^2 - 151*T1^8*T2^2 + 
      12*T1^9*T2^2 + 9*T1^10*T2^2 + 9*T2^3 - 72*T1*T2^3 + 127*T1^2*T2^3 + 
      78*T1^3*T2^3 - 293*T1^4*T2^3 + 180*T1^5*T2^3 + 180*T1^6*T2^3 - 
      293*T1^7*T2^3 + 78*T1^8*T2^3 + 127*T1^9*T2^3 - 72*T1^10*T2^3 + 
      9*T1^11*T2^3 - 21*T2^4 + 48*T1*T2^4 + 108*T1^2*T2^4 - 293*T1^3*T2^4 + 
      181*T1^4*T2^4 + 226*T1^5*T2^4 - 445*T1^6*T2^4 + 226*T1^7*T2^4 + 
      181*T1^8*T2^4 - 293*T1^9*T2^4 + 108*T1^10*T2^4 + 48*T1^11*T2^4 - 
      21*T1^12*T2^4 + 9*T2^5 + 48*T1*T2^5 - 275*T1^2*T2^5 + 180*T1^3*T2^5 + 
      226*T1^4*T2^5 - 536*T1^5*T2^5 + 264*T1^6*T2^5 + 264*T1^7*T2^5 - 
      536*T1^8*T2^5 + 226*T1^9*T2^5 + 180*T1^10*T2^5 - 275*T1^11*T2^5 + 
      48*T1^12*T2^5 + 9*T1^13*T2^5 + 9*T2^6 - 72*T1*T2^6 + 108*T1^2*T2^6 + 
      180*T1^3*T2^6 - 445*T1^4*T2^6 + 264*T1^5*T2^6 + 329*T1^6*T2^6 - 
      629*T1^7*T2^6 + 329*T1^8*T2^6 + 264*T1^9*T2^6 - 445*T1^10*T2^6 + 
      180*T1^11*T2^6 + 108*T1^12*T2^6 - 72*T1^13*T2^6 + 9*T1^14*T2^6 - 
      12*T2^7 + 12*T1*T2^7 + 127*T1^2*T2^7 - 293*T1^3*T2^7 + 226*T1^4*T2^7 + 
      264*T1^5*T2^7 - 629*T1^6*T2^7 + 344*T1^7*T2^7 + 344*T1^8*T2^7 - 
      629*T1^9*T2^7 + 264*T1^10*T2^7 + 226*T1^11*T2^7 - 293*T1^12*T2^7 + 
      127*T1^13*T2^7 + 12*T1^14*T2^7 - 12*T1^15*T2^7 + 3*T2^8 + 36*T1*T2^8 - 
      151*T1^2*T2^8 + 78*T1^3*T2^8 + 181*T1^4*T2^8 - 536*T1^5*T2^8 + 
      329*T1^6*T2^8 + 344*T1^7*T2^8 - 756*T1^8*T2^8 + 344*T1^9*T2^8 + 
      329*T1^10*T2^8 - 536*T1^11*T2^8 + 181*T1^12*T2^8 + 78*T1^13*T2^8 - 
      151*T1^14*T2^8 + 36*T1^15*T2^8 + 3*T1^16*T2^8 - 12*T1*T2^9 + 
      12*T1^2*T2^9 + 127*T1^3*T2^9 - 293*T1^4*T2^9 + 226*T1^5*T2^9 + 
      264*T1^6*T2^9 - 629*T1^7*T2^9 + 344*T1^8*T2^9 + 344*T1^9*T2^9 - 
      629*T1^10*T2^9 + 264*T1^11*T2^9 + 226*T1^12*T2^9 - 293*T1^13*T2^9 + 
      127*T1^14*T2^9 + 12*T1^15*T2^9 - 12*T1^16*T2^9 + 9*T1^2*T2^10 - 
      72*T1^3*T2^10 + 108*T1^4*T2^10 + 180*T1^5*T2^10 - 445*T1^6*T2^10 + 
      264*T1^7*T2^10 + 329*T1^8*T2^10 - 629*T1^9*T2^10 + 329*T1^10*T2^10 + 
      264*T1^11*T2^10 - 445*T1^12*T2^10 + 180*T1^13*T2^10 + 108*T1^14*T2^10 - 
      72*T1^15*T2^10 + 9*T1^16*T2^10 + 9*T1^3*T2^11 + 48*T1^4*T2^11 - 
      275*T1^5*T2^11 + 180*T1^6*T2^11 + 226*T1^7*T2^11 - 536*T1^8*T2^11 + 
      264*T1^9*T2^11 + 264*T1^10*T2^11 - 536*T1^11*T2^11 + 226*T1^12*T2^11 + 
      180*T1^13*T2^11 - 275*T1^14*T2^11 + 48*T1^15*T2^11 + 9*T1^16*T2^11 - 
      21*T1^4*T2^12 + 48*T1^5*T2^12 + 108*T1^6*T2^12 - 293*T1^7*T2^12 + 
      181*T1^8*T2^12 + 226*T1^9*T2^12 - 445*T1^10*T2^12 + 226*T1^11*T2^12 + 
      181*T1^12*T2^12 - 293*T1^13*T2^12 + 108*T1^14*T2^12 + 48*T1^15*T2^12 - 
      21*T1^16*T2^12 + 9*T1^5*T2^13 - 72*T1^6*T2^13 + 127*T1^7*T2^13 + 
      78*T1^8*T2^13 - 293*T1^9*T2^13 + 180*T1^10*T2^13 + 180*T1^11*T2^13 - 
      293*T1^12*T2^13 + 78*T1^13*T2^13 + 127*T1^14*T2^13 - 72*T1^15*T2^13 + 
      9*T1^16*T2^13 + 9*T1^6*T2^14 + 12*T1^7*T2^14 - 151*T1^8*T2^14 + 
      127*T1^9*T2^14 + 108*T1^10*T2^14 - 275*T1^11*T2^14 + 108*T1^12*T2^14 + 
      127*T1^13*T2^14 - 151*T1^14*T2^14 + 12*T1^15*T2^14 + 9*T1^16*T2^14 - 
      12*T1^7*T2^15 + 36*T1^8*T2^15 + 12*T1^9*T2^15 - 72*T1^10*T2^15 + 
      48*T1^11*T2^15 + 48*T1^12*T2^15 - 72*T1^13*T2^15 + 12*T1^14*T2^15 + 
      36*T1^15*T2^15 - 12*T1^16*T2^15 + 3*T1^8*T2^16 - 12*T1^9*T2^16 + 
      9*T1^10*T2^16 + 9*T1^11*T2^16 - 21*T1^12*T2^16 + 9*T1^13*T2^16 + 
      9*T1^14*T2^16 - 12*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 420] -> 
  {-(((-1 + 3*T - 4*T^2 + T^3)*(-1 + 4*T - 3*T^2 + T^3))/T^3), 
   -((2 - 6*T1 + 6*T1^2 + 6*T1^3 - 6*T1^4 + 2*T1^5 - 6*T2 - 2*T1*T2 + 
      56*T1^2*T2 - 136*T1^3*T2 + 56*T1^4*T2 - 2*T1^5*T2 - 6*T1^6*T2 + 
      6*T2^2 + 56*T1*T2^2 - 198*T1^2*T2^2 + 230*T1^3*T2^2 + 230*T1^4*T2^2 - 
      198*T1^5*T2^2 + 56*T1^6*T2^2 + 6*T1^7*T2^2 + 6*T2^3 - 136*T1*T2^3 + 
      230*T1^2*T2^3 + 105*T1^3*T2^3 - 933*T1^4*T2^3 + 105*T1^5*T2^3 + 
      230*T1^6*T2^3 - 136*T1^7*T2^3 + 6*T1^8*T2^3 - 6*T2^4 + 56*T1*T2^4 + 
      230*T1^2*T2^4 - 933*T1^3*T2^4 + 1124*T1^4*T2^4 + 1124*T1^5*T2^4 - 
      933*T1^6*T2^4 + 230*T1^7*T2^4 + 56*T1^8*T2^4 - 6*T1^9*T2^4 + 2*T2^5 - 
      2*T1*T2^5 - 198*T1^2*T2^5 + 105*T1^3*T2^5 + 1124*T1^4*T2^5 - 
      3204*T1^5*T2^5 + 1124*T1^6*T2^5 + 105*T1^7*T2^5 - 198*T1^8*T2^5 - 
      2*T1^9*T2^5 + 2*T1^10*T2^5 - 6*T1*T2^6 + 56*T1^2*T2^6 + 230*T1^3*T2^6 - 
      933*T1^4*T2^6 + 1124*T1^5*T2^6 + 1124*T1^6*T2^6 - 933*T1^7*T2^6 + 
      230*T1^8*T2^6 + 56*T1^9*T2^6 - 6*T1^10*T2^6 + 6*T1^2*T2^7 - 
      136*T1^3*T2^7 + 230*T1^4*T2^7 + 105*T1^5*T2^7 - 933*T1^6*T2^7 + 
      105*T1^7*T2^7 + 230*T1^8*T2^7 - 136*T1^9*T2^7 + 6*T1^10*T2^7 + 
      6*T1^3*T2^8 + 56*T1^4*T2^8 - 198*T1^5*T2^8 + 230*T1^6*T2^8 + 
      230*T1^7*T2^8 - 198*T1^8*T2^8 + 56*T1^9*T2^8 + 6*T1^10*T2^8 - 
      6*T1^4*T2^9 - 2*T1^5*T2^9 + 56*T1^6*T2^9 - 136*T1^7*T2^9 + 
      56*T1^8*T2^9 - 2*T1^9*T2^9 - 6*T1^10*T2^9 + 2*T1^5*T2^10 - 
      6*T1^6*T2^10 + 6*T1^7*T2^10 + 6*T1^8*T2^10 - 6*T1^9*T2^10 + 
      2*T1^10*T2^10)/(T1^5*T2^5))}, Knot[12, NonAlternating, 421] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3), 
   (1 - 6*T1 + 14*T1^2 - 19*T1^3 + 14*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     30*T1*T2 - 49*T1^2*T2 + 31*T1^3*T2 + 31*T1^4*T2 - 49*T1^5*T2 + 
     30*T1^6*T2 - 6*T1^7*T2 + 14*T2^2 - 49*T1*T2^2 + 3*T1^2*T2^2 + 
     140*T1^3*T2^2 - 279*T1^4*T2^2 + 140*T1^5*T2^2 + 3*T1^6*T2^2 - 
     49*T1^7*T2^2 + 14*T1^8*T2^2 - 19*T2^3 + 31*T1*T2^3 + 140*T1^2*T2^3 - 
     318*T1^3*T2^3 + 265*T1^4*T2^3 + 265*T1^5*T2^3 - 318*T1^6*T2^3 + 
     140*T1^7*T2^3 + 31*T1^8*T2^3 - 19*T1^9*T2^3 + 14*T2^4 + 31*T1*T2^4 - 
     279*T1^2*T2^4 + 265*T1^3*T2^4 + 112*T1^4*T2^4 - 708*T1^5*T2^4 + 
     112*T1^6*T2^4 + 265*T1^7*T2^4 - 279*T1^8*T2^4 + 31*T1^9*T2^4 + 
     14*T1^10*T2^4 - 6*T2^5 - 49*T1*T2^5 + 140*T1^2*T2^5 + 265*T1^3*T2^5 - 
     708*T1^4*T2^5 + 682*T1^5*T2^5 + 682*T1^6*T2^5 - 708*T1^7*T2^5 + 
     265*T1^8*T2^5 + 140*T1^9*T2^5 - 49*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     30*T1*T2^6 + 3*T1^2*T2^6 - 318*T1^3*T2^6 + 112*T1^4*T2^6 + 
     682*T1^5*T2^6 - 1764*T1^6*T2^6 + 682*T1^7*T2^6 + 112*T1^8*T2^6 - 
     318*T1^9*T2^6 + 3*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
     49*T1^2*T2^7 + 140*T1^3*T2^7 + 265*T1^4*T2^7 - 708*T1^5*T2^7 + 
     682*T1^6*T2^7 + 682*T1^7*T2^7 - 708*T1^8*T2^7 + 265*T1^9*T2^7 + 
     140*T1^10*T2^7 - 49*T1^11*T2^7 - 6*T1^12*T2^7 + 14*T1^2*T2^8 + 
     31*T1^3*T2^8 - 279*T1^4*T2^8 + 265*T1^5*T2^8 + 112*T1^6*T2^8 - 
     708*T1^7*T2^8 + 112*T1^8*T2^8 + 265*T1^9*T2^8 - 279*T1^10*T2^8 + 
     31*T1^11*T2^8 + 14*T1^12*T2^8 - 19*T1^3*T2^9 + 31*T1^4*T2^9 + 
     140*T1^5*T2^9 - 318*T1^6*T2^9 + 265*T1^7*T2^9 + 265*T1^8*T2^9 - 
     318*T1^9*T2^9 + 140*T1^10*T2^9 + 31*T1^11*T2^9 - 19*T1^12*T2^9 + 
     14*T1^4*T2^10 - 49*T1^5*T2^10 + 3*T1^6*T2^10 + 140*T1^7*T2^10 - 
     279*T1^8*T2^10 + 140*T1^9*T2^10 + 3*T1^10*T2^10 - 49*T1^11*T2^10 + 
     14*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 49*T1^7*T2^11 + 
     31*T1^8*T2^11 + 31*T1^9*T2^11 - 49*T1^10*T2^11 + 30*T1^11*T2^11 - 
     6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 14*T1^8*T2^12 - 
     19*T1^9*T2^12 + 14*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 422] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3), 
   -((1 - 6*T1 + 14*T1^2 - 19*T1^3 + 14*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
      30*T1*T2 - 49*T1^2*T2 + 31*T1^3*T2 + 31*T1^4*T2 - 49*T1^5*T2 + 
      30*T1^6*T2 - 6*T1^7*T2 + 14*T2^2 - 49*T1*T2^2 + 3*T1^2*T2^2 + 
      140*T1^3*T2^2 - 279*T1^4*T2^2 + 140*T1^5*T2^2 + 3*T1^6*T2^2 - 
      49*T1^7*T2^2 + 14*T1^8*T2^2 - 19*T2^3 + 31*T1*T2^3 + 140*T1^2*T2^3 - 
      318*T1^3*T2^3 + 265*T1^4*T2^3 + 265*T1^5*T2^3 - 318*T1^6*T2^3 + 
      140*T1^7*T2^3 + 31*T1^8*T2^3 - 19*T1^9*T2^3 + 14*T2^4 + 31*T1*T2^4 - 
      279*T1^2*T2^4 + 265*T1^3*T2^4 + 112*T1^4*T2^4 - 708*T1^5*T2^4 + 
      112*T1^6*T2^4 + 265*T1^7*T2^4 - 279*T1^8*T2^4 + 31*T1^9*T2^4 + 
      14*T1^10*T2^4 - 6*T2^5 - 49*T1*T2^5 + 140*T1^2*T2^5 + 265*T1^3*T2^5 - 
      708*T1^4*T2^5 + 682*T1^5*T2^5 + 682*T1^6*T2^5 - 708*T1^7*T2^5 + 
      265*T1^8*T2^5 + 140*T1^9*T2^5 - 49*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
      30*T1*T2^6 + 3*T1^2*T2^6 - 318*T1^3*T2^6 + 112*T1^4*T2^6 + 
      682*T1^5*T2^6 - 1764*T1^6*T2^6 + 682*T1^7*T2^6 + 112*T1^8*T2^6 - 
      318*T1^9*T2^6 + 3*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
      49*T1^2*T2^7 + 140*T1^3*T2^7 + 265*T1^4*T2^7 - 708*T1^5*T2^7 + 
      682*T1^6*T2^7 + 682*T1^7*T2^7 - 708*T1^8*T2^7 + 265*T1^9*T2^7 + 
      140*T1^10*T2^7 - 49*T1^11*T2^7 - 6*T1^12*T2^7 + 14*T1^2*T2^8 + 
      31*T1^3*T2^8 - 279*T1^4*T2^8 + 265*T1^5*T2^8 + 112*T1^6*T2^8 - 
      708*T1^7*T2^8 + 112*T1^8*T2^8 + 265*T1^9*T2^8 - 279*T1^10*T2^8 + 
      31*T1^11*T2^8 + 14*T1^12*T2^8 - 19*T1^3*T2^9 + 31*T1^4*T2^9 + 
      140*T1^5*T2^9 - 318*T1^6*T2^9 + 265*T1^7*T2^9 + 265*T1^8*T2^9 - 
      318*T1^9*T2^9 + 140*T1^10*T2^9 + 31*T1^11*T2^9 - 19*T1^12*T2^9 + 
      14*T1^4*T2^10 - 49*T1^5*T2^10 + 3*T1^6*T2^10 + 140*T1^7*T2^10 - 
      279*T1^8*T2^10 + 140*T1^9*T2^10 + 3*T1^10*T2^10 - 49*T1^11*T2^10 + 
      14*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 49*T1^7*T2^11 + 
      31*T1^8*T2^11 + 31*T1^9*T2^11 - 49*T1^10*T2^11 + 30*T1^11*T2^11 - 
      6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 14*T1^8*T2^12 - 
      19*T1^9*T2^12 + 14*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, NonAlternating, 423] -> 
  {(1 - 3*T + 3*T^2 - T^3 + 3*T^4 - 3*T^5 + T^6)/T^3, 
   -((1 - 3*T1 + 3*T1^2 - T1^3 + 3*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 + 
      T1^2*T2 - 7*T1^3*T2 - 7*T1^4*T2 + T1^5*T2 + 6*T1^6*T2 - 3*T1^7*T2 + 
      3*T2^2 + T1*T2^2 - 21*T1^2*T2^2 + 16*T1^3*T2^2 + 15*T1^4*T2^2 + 
      16*T1^5*T2^2 - 21*T1^6*T2^2 + T1^7*T2^2 + 3*T1^8*T2^2 - T2^3 - 
      7*T1*T2^3 + 16*T1^2*T2^3 + 24*T1^3*T2^3 - 34*T1^4*T2^3 - 34*T1^5*T2^3 + 
      24*T1^6*T2^3 + 16*T1^7*T2^3 - 7*T1^8*T2^3 - T1^9*T2^3 + 3*T2^4 - 
      7*T1*T2^4 + 15*T1^2*T2^4 - 34*T1^3*T2^4 - 4*T1^4*T2^4 + 20*T1^5*T2^4 - 
      4*T1^6*T2^4 - 34*T1^7*T2^4 + 15*T1^8*T2^4 - 7*T1^9*T2^4 + 
      3*T1^10*T2^4 - 3*T2^5 + T1*T2^5 + 16*T1^2*T2^5 - 34*T1^3*T2^5 + 
      20*T1^4*T2^5 + 40*T1^5*T2^5 + 40*T1^6*T2^5 + 20*T1^7*T2^5 - 
      34*T1^8*T2^5 + 16*T1^9*T2^5 + T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 
      6*T1*T2^6 - 21*T1^2*T2^6 + 24*T1^3*T2^6 - 4*T1^4*T2^6 + 40*T1^5*T2^6 - 
      192*T1^6*T2^6 + 40*T1^7*T2^6 - 4*T1^8*T2^6 + 24*T1^9*T2^6 - 
      21*T1^10*T2^6 + 6*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 + T1^2*T2^7 + 
      16*T1^3*T2^7 - 34*T1^4*T2^7 + 20*T1^5*T2^7 + 40*T1^6*T2^7 + 
      40*T1^7*T2^7 + 20*T1^8*T2^7 - 34*T1^9*T2^7 + 16*T1^10*T2^7 + 
      T1^11*T2^7 - 3*T1^12*T2^7 + 3*T1^2*T2^8 - 7*T1^3*T2^8 + 15*T1^4*T2^8 - 
      34*T1^5*T2^8 - 4*T1^6*T2^8 + 20*T1^7*T2^8 - 4*T1^8*T2^8 - 
      34*T1^9*T2^8 + 15*T1^10*T2^8 - 7*T1^11*T2^8 + 3*T1^12*T2^8 - 
      T1^3*T2^9 - 7*T1^4*T2^9 + 16*T1^5*T2^9 + 24*T1^6*T2^9 - 34*T1^7*T2^9 - 
      34*T1^8*T2^9 + 24*T1^9*T2^9 + 16*T1^10*T2^9 - 7*T1^11*T2^9 - 
      T1^12*T2^9 + 3*T1^4*T2^10 + T1^5*T2^10 - 21*T1^6*T2^10 + 
      16*T1^7*T2^10 + 15*T1^8*T2^10 + 16*T1^9*T2^10 - 21*T1^10*T2^10 + 
      T1^11*T2^10 + 3*T1^12*T2^10 - 3*T1^5*T2^11 + 6*T1^6*T2^11 + 
      T1^7*T2^11 - 7*T1^8*T2^11 - 7*T1^9*T2^11 + T1^10*T2^11 + 
      6*T1^11*T2^11 - 3*T1^12*T2^11 + T1^6*T2^12 - 3*T1^7*T2^12 + 
      3*T1^8*T2^12 - T1^9*T2^12 + 3*T1^10*T2^12 - 3*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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), -((1 - 5*T1 + 12*T1^2 - 19*T1^3 + 21*T1^4 - 19*T1^5 + 12*T1^6 - 
      5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 35*T1^2*T2 + 35*T1^3*T2 - 
      10*T1^4*T2 - 10*T1^5*T2 + 35*T1^6*T2 - 35*T1^7*T2 + 20*T1^8*T2 - 
      5*T1^9*T2 + 12*T2^2 - 35*T1*T2^2 + 31*T1^2*T2^2 + 14*T1^3*T2^2 - 
      87*T1^4*T2^2 + 81*T1^5*T2^2 - 87*T1^6*T2^2 + 14*T1^7*T2^2 + 
      31*T1^8*T2^2 - 35*T1^9*T2^2 + 12*T1^10*T2^2 - 19*T2^3 + 35*T1*T2^3 + 
      14*T1^2*T2^3 - 94*T1^3*T2^3 + 151*T1^4*T2^3 - 10*T1^5*T2^3 - 
      10*T1^6*T2^3 + 151*T1^7*T2^3 - 94*T1^8*T2^3 + 14*T1^9*T2^3 + 
      35*T1^10*T2^3 - 19*T1^11*T2^3 + 21*T2^4 - 10*T1*T2^4 - 87*T1^2*T2^4 + 
      151*T1^3*T2^4 - 108*T1^4*T2^4 - 183*T1^5*T2^4 + 94*T1^6*T2^4 - 
      183*T1^7*T2^4 - 108*T1^8*T2^4 + 151*T1^9*T2^4 - 87*T1^10*T2^4 - 
      10*T1^11*T2^4 + 21*T1^12*T2^4 - 19*T2^5 - 10*T1*T2^5 + 81*T1^2*T2^5 - 
      10*T1^3*T2^5 - 183*T1^4*T2^5 + 448*T1^5*T2^5 - 31*T1^6*T2^5 - 
      31*T1^7*T2^5 + 448*T1^8*T2^5 - 183*T1^9*T2^5 - 10*T1^10*T2^5 + 
      81*T1^11*T2^5 - 10*T1^12*T2^5 - 19*T1^13*T2^5 + 12*T2^6 + 35*T1*T2^6 - 
      87*T1^2*T2^6 - 10*T1^3*T2^6 + 94*T1^4*T2^6 - 31*T1^5*T2^6 - 
      663*T1^6*T2^6 + 581*T1^7*T2^6 - 663*T1^8*T2^6 - 31*T1^9*T2^6 + 
      94*T1^10*T2^6 - 10*T1^11*T2^6 - 87*T1^12*T2^6 + 35*T1^13*T2^6 + 
      12*T1^14*T2^6 - 5*T2^7 - 35*T1*T2^7 + 14*T1^2*T2^7 + 151*T1^3*T2^7 - 
      183*T1^4*T2^7 - 31*T1^5*T2^7 + 581*T1^6*T2^7 - 90*T1^7*T2^7 - 
      90*T1^8*T2^7 + 581*T1^9*T2^7 - 31*T1^10*T2^7 - 183*T1^11*T2^7 + 
      151*T1^12*T2^7 + 14*T1^13*T2^7 - 35*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 
      20*T1*T2^8 + 31*T1^2*T2^8 - 94*T1^3*T2^8 - 108*T1^4*T2^8 + 
      448*T1^5*T2^8 - 663*T1^6*T2^8 - 90*T1^7*T2^8 + 84*T1^8*T2^8 - 
      90*T1^9*T2^8 - 663*T1^10*T2^8 + 448*T1^11*T2^8 - 108*T1^12*T2^8 - 
      94*T1^13*T2^8 + 31*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 
      5*T1*T2^9 - 35*T1^2*T2^9 + 14*T1^3*T2^9 + 151*T1^4*T2^9 - 
      183*T1^5*T2^9 - 31*T1^6*T2^9 + 581*T1^7*T2^9 - 90*T1^8*T2^9 - 
      90*T1^9*T2^9 + 581*T1^10*T2^9 - 31*T1^11*T2^9 - 183*T1^12*T2^9 + 
      151*T1^13*T2^9 + 14*T1^14*T2^9 - 35*T1^15*T2^9 - 5*T1^16*T2^9 + 
      12*T1^2*T2^10 + 35*T1^3*T2^10 - 87*T1^4*T2^10 - 10*T1^5*T2^10 + 
      94*T1^6*T2^10 - 31*T1^7*T2^10 - 663*T1^8*T2^10 + 581*T1^9*T2^10 - 
      663*T1^10*T2^10 - 31*T1^11*T2^10 + 94*T1^12*T2^10 - 10*T1^13*T2^10 - 
      87*T1^14*T2^10 + 35*T1^15*T2^10 + 12*T1^16*T2^10 - 19*T1^3*T2^11 - 
      10*T1^4*T2^11 + 81*T1^5*T2^11 - 10*T1^6*T2^11 - 183*T1^7*T2^11 + 
      448*T1^8*T2^11 - 31*T1^9*T2^11 - 31*T1^10*T2^11 + 448*T1^11*T2^11 - 
      183*T1^12*T2^11 - 10*T1^13*T2^11 + 81*T1^14*T2^11 - 10*T1^15*T2^11 - 
      19*T1^16*T2^11 + 21*T1^4*T2^12 - 10*T1^5*T2^12 - 87*T1^6*T2^12 + 
      151*T1^7*T2^12 - 108*T1^8*T2^12 - 183*T1^9*T2^12 + 94*T1^10*T2^12 - 
      183*T1^11*T2^12 - 108*T1^12*T2^12 + 151*T1^13*T2^12 - 87*T1^14*T2^12 - 
      10*T1^15*T2^12 + 21*T1^16*T2^12 - 19*T1^5*T2^13 + 35*T1^6*T2^13 + 
      14*T1^7*T2^13 - 94*T1^8*T2^13 + 151*T1^9*T2^13 - 10*T1^10*T2^13 - 
      10*T1^11*T2^13 + 151*T1^12*T2^13 - 94*T1^13*T2^13 + 14*T1^14*T2^13 + 
      35*T1^15*T2^13 - 19*T1^16*T2^13 + 12*T1^6*T2^14 - 35*T1^7*T2^14 + 
      31*T1^8*T2^14 + 14*T1^9*T2^14 - 87*T1^10*T2^14 + 81*T1^11*T2^14 - 
      87*T1^12*T2^14 + 14*T1^13*T2^14 + 31*T1^14*T2^14 - 35*T1^15*T2^14 + 
      12*T1^16*T2^14 - 5*T1^7*T2^15 + 20*T1^8*T2^15 - 35*T1^9*T2^15 + 
      35*T1^10*T2^15 - 10*T1^11*T2^15 - 10*T1^12*T2^15 + 35*T1^13*T2^15 - 
      35*T1^14*T2^15 + 20*T1^15*T2^15 - 5*T1^16*T2^15 + T1^8*T2^16 - 
      5*T1^9*T2^16 + 12*T1^10*T2^16 - 19*T1^11*T2^16 + 21*T1^12*T2^16 - 
      19*T1^13*T2^16 + 12*T1^14*T2^16 - 5*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, 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 + 24*T1*T2 - 24*T1^2*T2 - 24*T1^3*T2 + 24*T1^4*T2 + 
      24*T1^5*T2 - 24*T1^6*T2 - 24*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 
      14*T2^2 - 24*T1*T2^2 - 15*T1^2*T2^2 + 111*T1^3*T2^2 - 16*T1^4*T2^2 - 
      79*T1^5*T2^2 - 16*T1^6*T2^2 + 111*T1^7*T2^2 - 15*T1^8*T2^2 - 
      24*T1^9*T2^2 + 14*T1^10*T2^2 - 8*T2^3 - 24*T1*T2^3 + 111*T1^2*T2^3 - 
      146*T1^3*T2^3 - 138*T1^4*T2^3 + 139*T1^5*T2^3 + 139*T1^6*T2^3 - 
      138*T1^7*T2^3 - 146*T1^8*T2^3 + 111*T1^9*T2^3 - 24*T1^10*T2^3 - 
      8*T1^11*T2^3 + 2*T2^4 + 24*T1*T2^4 - 16*T1^2*T2^4 - 138*T1^3*T2^4 + 
      406*T1^4*T2^4 - 97*T1^5*T2^4 - 194*T1^6*T2^4 - 97*T1^7*T2^4 + 
      406*T1^8*T2^4 - 138*T1^9*T2^4 - 16*T1^10*T2^4 + 24*T1^11*T2^4 + 
      2*T1^12*T2^4 - 8*T2^5 + 24*T1*T2^5 - 79*T1^2*T2^5 + 139*T1^3*T2^5 - 
      97*T1^4*T2^5 - 220*T1^5*T2^5 + 183*T1^6*T2^5 + 183*T1^7*T2^5 - 
      220*T1^8*T2^5 - 97*T1^9*T2^5 + 139*T1^10*T2^5 - 79*T1^11*T2^5 + 
      24*T1^12*T2^5 - 8*T1^13*T2^5 + 14*T2^6 - 24*T1*T2^6 - 16*T1^2*T2^6 + 
      139*T1^3*T2^6 - 194*T1^4*T2^6 + 183*T1^5*T2^6 - 84*T1^6*T2^6 + 
      2*T1^7*T2^6 - 84*T1^8*T2^6 + 183*T1^9*T2^6 - 194*T1^10*T2^6 + 
      139*T1^11*T2^6 - 16*T1^12*T2^6 - 24*T1^13*T2^6 + 14*T1^14*T2^6 - 
      8*T2^7 - 24*T1*T2^7 + 111*T1^2*T2^7 - 138*T1^3*T2^7 - 97*T1^4*T2^7 + 
      183*T1^5*T2^7 + 2*T1^6*T2^7 - 40*T1^7*T2^7 - 40*T1^8*T2^7 + 
      2*T1^9*T2^7 + 183*T1^10*T2^7 - 97*T1^11*T2^7 - 138*T1^12*T2^7 + 
      111*T1^13*T2^7 - 24*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 24*T1*T2^8 - 
      15*T1^2*T2^8 - 146*T1^3*T2^8 + 406*T1^4*T2^8 - 220*T1^5*T2^8 - 
      84*T1^6*T2^8 - 40*T1^7*T2^8 + 180*T1^8*T2^8 - 40*T1^9*T2^8 - 
      84*T1^10*T2^8 - 220*T1^11*T2^8 + 406*T1^12*T2^8 - 146*T1^13*T2^8 - 
      15*T1^14*T2^8 + 24*T1^15*T2^8 + 2*T1^16*T2^8 - 8*T1*T2^9 - 
      24*T1^2*T2^9 + 111*T1^3*T2^9 - 138*T1^4*T2^9 - 97*T1^5*T2^9 + 
      183*T1^6*T2^9 + 2*T1^7*T2^9 - 40*T1^8*T2^9 - 40*T1^9*T2^9 + 
      2*T1^10*T2^9 + 183*T1^11*T2^9 - 97*T1^12*T2^9 - 138*T1^13*T2^9 + 
      111*T1^14*T2^9 - 24*T1^15*T2^9 - 8*T1^16*T2^9 + 14*T1^2*T2^10 - 
      24*T1^3*T2^10 - 16*T1^4*T2^10 + 139*T1^5*T2^10 - 194*T1^6*T2^10 + 
      183*T1^7*T2^10 - 84*T1^8*T2^10 + 2*T1^9*T2^10 - 84*T1^10*T2^10 + 
      183*T1^11*T2^10 - 194*T1^12*T2^10 + 139*T1^13*T2^10 - 16*T1^14*T2^10 - 
      24*T1^15*T2^10 + 14*T1^16*T2^10 - 8*T1^3*T2^11 + 24*T1^4*T2^11 - 
      79*T1^5*T2^11 + 139*T1^6*T2^11 - 97*T1^7*T2^11 - 220*T1^8*T2^11 + 
      183*T1^9*T2^11 + 183*T1^10*T2^11 - 220*T1^11*T2^11 - 97*T1^12*T2^11 + 
      139*T1^13*T2^11 - 79*T1^14*T2^11 + 24*T1^15*T2^11 - 8*T1^16*T2^11 + 
      2*T1^4*T2^12 + 24*T1^5*T2^12 - 16*T1^6*T2^12 - 138*T1^7*T2^12 + 
      406*T1^8*T2^12 - 97*T1^9*T2^12 - 194*T1^10*T2^12 - 97*T1^11*T2^12 + 
      406*T1^12*T2^12 - 138*T1^13*T2^12 - 16*T1^14*T2^12 + 24*T1^15*T2^12 + 
      2*T1^16*T2^12 - 8*T1^5*T2^13 - 24*T1^6*T2^13 + 111*T1^7*T2^13 - 
      146*T1^8*T2^13 - 138*T1^9*T2^13 + 139*T1^10*T2^13 + 139*T1^11*T2^13 - 
      138*T1^12*T2^13 - 146*T1^13*T2^13 + 111*T1^14*T2^13 - 24*T1^15*T2^13 - 
      8*T1^16*T2^13 + 14*T1^6*T2^14 - 24*T1^7*T2^14 - 15*T1^8*T2^14 + 
      111*T1^9*T2^14 - 16*T1^10*T2^14 - 79*T1^11*T2^14 - 16*T1^12*T2^14 + 
      111*T1^13*T2^14 - 15*T1^14*T2^14 - 24*T1^15*T2^14 + 14*T1^16*T2^14 - 
      8*T1^7*T2^15 + 24*T1^8*T2^15 - 24*T1^9*T2^15 - 24*T1^10*T2^15 + 
      24*T1^11*T2^15 + 24*T1^12*T2^15 - 24*T1^13*T2^15 - 24*T1^14*T2^15 + 
      24*T1^15*T2^15 - 8*T1^16*T2^15 + 2*T1^8*T2^16 - 8*T1^9*T2^16 + 
      14*T1^10*T2^16 - 8*T1^11*T2^16 + 2*T1^12*T2^16 - 8*T1^13*T2^16 + 
      14*T1^14*T2^16 - 8*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 426] -> 
  {((1 - T + T^2 - T^3 + T^4)*(1 + T - 3*T^2 + T^3 + T^4))/T^4, 
   (4 - 12*T1^2 + 16*T1^3 - 12*T1^4 + 16*T1^5 - 12*T1^6 + 4*T1^8 - T1^2*T2 + 
     3*T1^3*T2 - 2*T1^4*T2 - 2*T1^5*T2 + 3*T1^6*T2 - T1^7*T2 - 12*T2^2 - 
     T1*T2^2 + 27*T1^2*T2^2 - 47*T1^3*T2^2 + 59*T1^4*T2^2 - 75*T1^5*T2^2 + 
     59*T1^6*T2^2 - 47*T1^7*T2^2 + 27*T1^8*T2^2 - T1^9*T2^2 - 12*T1^10*T2^2 + 
     16*T2^3 + 3*T1*T2^3 - 47*T1^2*T2^3 + 64*T1^3*T2^3 - 30*T1^4*T2^3 + 
     9*T1^5*T2^3 + 9*T1^6*T2^3 - 30*T1^7*T2^3 + 64*T1^8*T2^3 - 47*T1^9*T2^3 + 
     3*T1^10*T2^3 + 16*T1^11*T2^3 - 12*T2^4 - 2*T1*T2^4 + 59*T1^2*T2^4 - 
     30*T1^3*T2^4 - 73*T1^4*T2^4 + 76*T1^5*T2^4 - 27*T1^6*T2^4 + 
     76*T1^7*T2^4 - 73*T1^8*T2^4 - 30*T1^9*T2^4 + 59*T1^10*T2^4 - 
     2*T1^11*T2^4 - 12*T1^12*T2^4 + 16*T2^5 - 2*T1*T2^5 - 75*T1^2*T2^5 + 
     9*T1^3*T2^5 + 76*T1^4*T2^5 + 12*T1^5*T2^5 - 66*T1^6*T2^5 - 
     66*T1^7*T2^5 + 12*T1^8*T2^5 + 76*T1^9*T2^5 + 9*T1^10*T2^5 - 
     75*T1^11*T2^5 - 2*T1^12*T2^5 + 16*T1^13*T2^5 - 12*T2^6 + 3*T1*T2^6 + 
     59*T1^2*T2^6 + 9*T1^3*T2^6 - 27*T1^4*T2^6 - 66*T1^5*T2^6 + 
     60*T1^6*T2^6 + 52*T1^7*T2^6 + 60*T1^8*T2^6 - 66*T1^9*T2^6 - 
     27*T1^10*T2^6 + 9*T1^11*T2^6 + 59*T1^12*T2^6 + 3*T1^13*T2^6 - 
     12*T1^14*T2^6 - T1*T2^7 - 47*T1^2*T2^7 - 30*T1^3*T2^7 + 76*T1^4*T2^7 - 
     66*T1^5*T2^7 + 52*T1^6*T2^7 - 64*T1^7*T2^7 - 64*T1^8*T2^7 + 
     52*T1^9*T2^7 - 66*T1^10*T2^7 + 76*T1^11*T2^7 - 30*T1^12*T2^7 - 
     47*T1^13*T2^7 - T1^14*T2^7 + 4*T2^8 + 27*T1^2*T2^8 + 64*T1^3*T2^8 - 
     73*T1^4*T2^8 + 12*T1^5*T2^8 + 60*T1^6*T2^8 - 64*T1^7*T2^8 + 
     132*T1^8*T2^8 - 64*T1^9*T2^8 + 60*T1^10*T2^8 + 12*T1^11*T2^8 - 
     73*T1^12*T2^8 + 64*T1^13*T2^8 + 27*T1^14*T2^8 + 4*T1^16*T2^8 - 
     T1^2*T2^9 - 47*T1^3*T2^9 - 30*T1^4*T2^9 + 76*T1^5*T2^9 - 66*T1^6*T2^9 + 
     52*T1^7*T2^9 - 64*T1^8*T2^9 - 64*T1^9*T2^9 + 52*T1^10*T2^9 - 
     66*T1^11*T2^9 + 76*T1^12*T2^9 - 30*T1^13*T2^9 - 47*T1^14*T2^9 - 
     T1^15*T2^9 - 12*T1^2*T2^10 + 3*T1^3*T2^10 + 59*T1^4*T2^10 + 
     9*T1^5*T2^10 - 27*T1^6*T2^10 - 66*T1^7*T2^10 + 60*T1^8*T2^10 + 
     52*T1^9*T2^10 + 60*T1^10*T2^10 - 66*T1^11*T2^10 - 27*T1^12*T2^10 + 
     9*T1^13*T2^10 + 59*T1^14*T2^10 + 3*T1^15*T2^10 - 12*T1^16*T2^10 + 
     16*T1^3*T2^11 - 2*T1^4*T2^11 - 75*T1^5*T2^11 + 9*T1^6*T2^11 + 
     76*T1^7*T2^11 + 12*T1^8*T2^11 - 66*T1^9*T2^11 - 66*T1^10*T2^11 + 
     12*T1^11*T2^11 + 76*T1^12*T2^11 + 9*T1^13*T2^11 - 75*T1^14*T2^11 - 
     2*T1^15*T2^11 + 16*T1^16*T2^11 - 12*T1^4*T2^12 - 2*T1^5*T2^12 + 
     59*T1^6*T2^12 - 30*T1^7*T2^12 - 73*T1^8*T2^12 + 76*T1^9*T2^12 - 
     27*T1^10*T2^12 + 76*T1^11*T2^12 - 73*T1^12*T2^12 - 30*T1^13*T2^12 + 
     59*T1^14*T2^12 - 2*T1^15*T2^12 - 12*T1^16*T2^12 + 16*T1^5*T2^13 + 
     3*T1^6*T2^13 - 47*T1^7*T2^13 + 64*T1^8*T2^13 - 30*T1^9*T2^13 + 
     9*T1^10*T2^13 + 9*T1^11*T2^13 - 30*T1^12*T2^13 + 64*T1^13*T2^13 - 
     47*T1^14*T2^13 + 3*T1^15*T2^13 + 16*T1^16*T2^13 - 12*T1^6*T2^14 - 
     T1^7*T2^14 + 27*T1^8*T2^14 - 47*T1^9*T2^14 + 59*T1^10*T2^14 - 
     75*T1^11*T2^14 + 59*T1^12*T2^14 - 47*T1^13*T2^14 + 27*T1^14*T2^14 - 
     T1^15*T2^14 - 12*T1^16*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 + 
     4*T1^8*T2^16 - 12*T1^10*T2^16 + 16*T1^11*T2^16 - 12*T1^12*T2^16 + 
     16*T1^13*T2^16 - 12*T1^14*T2^16 + 4*T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 
   (2 - 10*T1 + 28*T1^2 - 46*T1^3 + 54*T1^4 - 46*T1^5 + 28*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 90*T1^2*T2 + 90*T1^3*T2 - 40*T1^4*T2 - 
     40*T1^5*T2 + 90*T1^6*T2 - 90*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     28*T2^2 - 90*T1*T2^2 + 164*T1^2*T2^2 - 60*T1^3*T2^2 - 55*T1^4*T2^2 + 
     128*T1^5*T2^2 - 55*T1^6*T2^2 - 60*T1^7*T2^2 + 164*T1^8*T2^2 - 
     90*T1^9*T2^2 + 28*T1^10*T2^2 - 46*T2^3 + 90*T1*T2^3 - 60*T1^2*T2^3 - 
     308*T1^3*T2^3 + 345*T1^4*T2^3 - 188*T1^5*T2^3 - 188*T1^6*T2^3 + 
     345*T1^7*T2^3 - 308*T1^8*T2^3 - 60*T1^9*T2^3 + 90*T1^10*T2^3 - 
     46*T1^11*T2^3 + 54*T2^4 - 40*T1*T2^4 - 55*T1^2*T2^4 + 345*T1^3*T2^4 + 
     381*T1^4*T2^4 - 1010*T1^5*T2^4 + 1443*T1^6*T2^4 - 1010*T1^7*T2^4 + 
     381*T1^8*T2^4 + 345*T1^9*T2^4 - 55*T1^10*T2^4 - 40*T1^11*T2^4 + 
     54*T1^12*T2^4 - 46*T2^5 - 40*T1*T2^5 + 128*T1^2*T2^5 - 188*T1^3*T2^5 - 
     1010*T1^4*T2^5 + 1034*T1^5*T2^5 - 606*T1^6*T2^5 - 606*T1^7*T2^5 + 
     1034*T1^8*T2^5 - 1010*T1^9*T2^5 - 188*T1^10*T2^5 + 128*T1^11*T2^5 - 
     40*T1^12*T2^5 - 46*T1^13*T2^5 + 28*T2^6 + 90*T1*T2^6 - 55*T1^2*T2^6 - 
     188*T1^3*T2^6 + 1443*T1^4*T2^6 - 606*T1^5*T2^6 + 4*T1^6*T2^6 + 
     736*T1^7*T2^6 + 4*T1^8*T2^6 - 606*T1^9*T2^6 + 1443*T1^10*T2^6 - 
     188*T1^11*T2^6 - 55*T1^12*T2^6 + 90*T1^13*T2^6 + 28*T1^14*T2^6 - 
     10*T2^7 - 90*T1*T2^7 - 60*T1^2*T2^7 + 345*T1^3*T2^7 - 1010*T1^4*T2^7 - 
     606*T1^5*T2^7 + 736*T1^6*T2^7 - 660*T1^7*T2^7 - 660*T1^8*T2^7 + 
     736*T1^9*T2^7 - 606*T1^10*T2^7 - 1010*T1^11*T2^7 + 345*T1^12*T2^7 - 
     60*T1^13*T2^7 - 90*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 + 
     164*T1^2*T2^8 - 308*T1^3*T2^8 + 381*T1^4*T2^8 + 1034*T1^5*T2^8 + 
     4*T1^6*T2^8 - 660*T1^7*T2^8 + 1596*T1^8*T2^8 - 660*T1^9*T2^8 + 
     4*T1^10*T2^8 + 1034*T1^11*T2^8 + 381*T1^12*T2^8 - 308*T1^13*T2^8 + 
     164*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     90*T1^2*T2^9 - 60*T1^3*T2^9 + 345*T1^4*T2^9 - 1010*T1^5*T2^9 - 
     606*T1^6*T2^9 + 736*T1^7*T2^9 - 660*T1^8*T2^9 - 660*T1^9*T2^9 + 
     736*T1^10*T2^9 - 606*T1^11*T2^9 - 1010*T1^12*T2^9 + 345*T1^13*T2^9 - 
     60*T1^14*T2^9 - 90*T1^15*T2^9 - 10*T1^16*T2^9 + 28*T1^2*T2^10 + 
     90*T1^3*T2^10 - 55*T1^4*T2^10 - 188*T1^5*T2^10 + 1443*T1^6*T2^10 - 
     606*T1^7*T2^10 + 4*T1^8*T2^10 + 736*T1^9*T2^10 + 4*T1^10*T2^10 - 
     606*T1^11*T2^10 + 1443*T1^12*T2^10 - 188*T1^13*T2^10 - 55*T1^14*T2^10 + 
     90*T1^15*T2^10 + 28*T1^16*T2^10 - 46*T1^3*T2^11 - 40*T1^4*T2^11 + 
     128*T1^5*T2^11 - 188*T1^6*T2^11 - 1010*T1^7*T2^11 + 1034*T1^8*T2^11 - 
     606*T1^9*T2^11 - 606*T1^10*T2^11 + 1034*T1^11*T2^11 - 1010*T1^12*T2^11 - 
     188*T1^13*T2^11 + 128*T1^14*T2^11 - 40*T1^15*T2^11 - 46*T1^16*T2^11 + 
     54*T1^4*T2^12 - 40*T1^5*T2^12 - 55*T1^6*T2^12 + 345*T1^7*T2^12 + 
     381*T1^8*T2^12 - 1010*T1^9*T2^12 + 1443*T1^10*T2^12 - 1010*T1^11*T2^12 + 
     381*T1^12*T2^12 + 345*T1^13*T2^12 - 55*T1^14*T2^12 - 40*T1^15*T2^12 + 
     54*T1^16*T2^12 - 46*T1^5*T2^13 + 90*T1^6*T2^13 - 60*T1^7*T2^13 - 
     308*T1^8*T2^13 + 345*T1^9*T2^13 - 188*T1^10*T2^13 - 188*T1^11*T2^13 + 
     345*T1^12*T2^13 - 308*T1^13*T2^13 - 60*T1^14*T2^13 + 90*T1^15*T2^13 - 
     46*T1^16*T2^13 + 28*T1^6*T2^14 - 90*T1^7*T2^14 + 164*T1^8*T2^14 - 
     60*T1^9*T2^14 - 55*T1^10*T2^14 + 128*T1^11*T2^14 - 55*T1^12*T2^14 - 
     60*T1^13*T2^14 + 164*T1^14*T2^14 - 90*T1^15*T2^14 + 28*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 90*T1^9*T2^15 + 90*T1^10*T2^15 - 
     40*T1^11*T2^15 - 40*T1^12*T2^15 + 90*T1^13*T2^15 - 90*T1^14*T2^15 + 
     40*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)/(T1^8*T2^8)}, 
 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), 
   -((3 - 12*T1 + 15*T1^2 - 12*T1^3 + 9*T1^4 - 12*T1^5 + 15*T1^6 - 12*T1^7 + 
      3*T1^8 - 12*T2 + 36*T1*T2 - 12*T1^2*T2 - 12*T1^3*T2 + 12*T1^4*T2 + 
      12*T1^5*T2 - 12*T1^6*T2 - 12*T1^7*T2 + 36*T1^8*T2 - 12*T1^9*T2 + 
      15*T2^2 - 12*T1*T2^2 - 99*T1^2*T2^2 + 115*T1^3*T2^2 - 65*T1^4*T2^2 + 
      17*T1^5*T2^2 - 65*T1^6*T2^2 + 115*T1^7*T2^2 - 99*T1^8*T2^2 - 
      12*T1^9*T2^2 + 15*T1^10*T2^2 - 12*T2^3 - 12*T1*T2^3 + 115*T1^2*T2^3 - 
      20*T1^3*T2^3 - 58*T1^4*T2^3 + 52*T1^5*T2^3 + 52*T1^6*T2^3 - 
      58*T1^7*T2^3 - 20*T1^8*T2^3 + 115*T1^9*T2^3 - 12*T1^10*T2^3 - 
      12*T1^11*T2^3 + 9*T2^4 + 12*T1*T2^4 - 65*T1^2*T2^4 - 58*T1^3*T2^4 + 
      56*T1^4*T2^4 - T1^5*T2^4 - 62*T1^6*T2^4 - T1^7*T2^4 + 56*T1^8*T2^4 - 
      58*T1^9*T2^4 - 65*T1^10*T2^4 + 12*T1^11*T2^4 + 9*T1^12*T2^4 - 12*T2^5 + 
      12*T1*T2^5 + 17*T1^2*T2^5 + 52*T1^3*T2^5 - T1^4*T2^5 - 14*T1^5*T2^5 + 
      22*T1^6*T2^5 + 22*T1^7*T2^5 - 14*T1^8*T2^5 - T1^9*T2^5 + 
      52*T1^10*T2^5 + 17*T1^11*T2^5 + 12*T1^12*T2^5 - 12*T1^13*T2^5 + 
      15*T2^6 - 12*T1*T2^6 - 65*T1^2*T2^6 + 52*T1^3*T2^6 - 62*T1^4*T2^6 + 
      22*T1^5*T2^6 - 34*T1^6*T2^6 + 30*T1^7*T2^6 - 34*T1^8*T2^6 + 
      22*T1^9*T2^6 - 62*T1^10*T2^6 + 52*T1^11*T2^6 - 65*T1^12*T2^6 - 
      12*T1^13*T2^6 + 15*T1^14*T2^6 - 12*T2^7 - 12*T1*T2^7 + 115*T1^2*T2^7 - 
      58*T1^3*T2^7 - T1^4*T2^7 + 22*T1^5*T2^7 + 30*T1^6*T2^7 - 20*T1^7*T2^7 - 
      20*T1^8*T2^7 + 30*T1^9*T2^7 + 22*T1^10*T2^7 - T1^11*T2^7 - 
      58*T1^12*T2^7 + 115*T1^13*T2^7 - 12*T1^14*T2^7 - 12*T1^15*T2^7 + 
      3*T2^8 + 36*T1*T2^8 - 99*T1^2*T2^8 - 20*T1^3*T2^8 + 56*T1^4*T2^8 - 
      14*T1^5*T2^8 - 34*T1^6*T2^8 - 20*T1^7*T2^8 + 60*T1^8*T2^8 - 
      20*T1^9*T2^8 - 34*T1^10*T2^8 - 14*T1^11*T2^8 + 56*T1^12*T2^8 - 
      20*T1^13*T2^8 - 99*T1^14*T2^8 + 36*T1^15*T2^8 + 3*T1^16*T2^8 - 
      12*T1*T2^9 - 12*T1^2*T2^9 + 115*T1^3*T2^9 - 58*T1^4*T2^9 - T1^5*T2^9 + 
      22*T1^6*T2^9 + 30*T1^7*T2^9 - 20*T1^8*T2^9 - 20*T1^9*T2^9 + 
      30*T1^10*T2^9 + 22*T1^11*T2^9 - T1^12*T2^9 - 58*T1^13*T2^9 + 
      115*T1^14*T2^9 - 12*T1^15*T2^9 - 12*T1^16*T2^9 + 15*T1^2*T2^10 - 
      12*T1^3*T2^10 - 65*T1^4*T2^10 + 52*T1^5*T2^10 - 62*T1^6*T2^10 + 
      22*T1^7*T2^10 - 34*T1^8*T2^10 + 30*T1^9*T2^10 - 34*T1^10*T2^10 + 
      22*T1^11*T2^10 - 62*T1^12*T2^10 + 52*T1^13*T2^10 - 65*T1^14*T2^10 - 
      12*T1^15*T2^10 + 15*T1^16*T2^10 - 12*T1^3*T2^11 + 12*T1^4*T2^11 + 
      17*T1^5*T2^11 + 52*T1^6*T2^11 - T1^7*T2^11 - 14*T1^8*T2^11 + 
      22*T1^9*T2^11 + 22*T1^10*T2^11 - 14*T1^11*T2^11 - T1^12*T2^11 + 
      52*T1^13*T2^11 + 17*T1^14*T2^11 + 12*T1^15*T2^11 - 12*T1^16*T2^11 + 
      9*T1^4*T2^12 + 12*T1^5*T2^12 - 65*T1^6*T2^12 - 58*T1^7*T2^12 + 
      56*T1^8*T2^12 - T1^9*T2^12 - 62*T1^10*T2^12 - T1^11*T2^12 + 
      56*T1^12*T2^12 - 58*T1^13*T2^12 - 65*T1^14*T2^12 + 12*T1^15*T2^12 + 
      9*T1^16*T2^12 - 12*T1^5*T2^13 - 12*T1^6*T2^13 + 115*T1^7*T2^13 - 
      20*T1^8*T2^13 - 58*T1^9*T2^13 + 52*T1^10*T2^13 + 52*T1^11*T2^13 - 
      58*T1^12*T2^13 - 20*T1^13*T2^13 + 115*T1^14*T2^13 - 12*T1^15*T2^13 - 
      12*T1^16*T2^13 + 15*T1^6*T2^14 - 12*T1^7*T2^14 - 99*T1^8*T2^14 + 
      115*T1^9*T2^14 - 65*T1^10*T2^14 + 17*T1^11*T2^14 - 65*T1^12*T2^14 + 
      115*T1^13*T2^14 - 99*T1^14*T2^14 - 12*T1^15*T2^14 + 15*T1^16*T2^14 - 
      12*T1^7*T2^15 + 36*T1^8*T2^15 - 12*T1^9*T2^15 - 12*T1^10*T2^15 + 
      12*T1^11*T2^15 + 12*T1^12*T2^15 - 12*T1^13*T2^15 - 12*T1^14*T2^15 + 
      36*T1^15*T2^15 - 12*T1^16*T2^15 + 3*T1^8*T2^16 - 12*T1^9*T2^16 + 
      15*T1^10*T2^16 - 12*T1^11*T2^16 + 9*T1^12*T2^16 - 12*T1^13*T2^16 + 
      15*T1^14*T2^16 - 12*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 429] -> 
  {-((4 - 18*T + 27*T^2 - 18*T^3 + 4*T^4)/T^2), 
   (88 - 398*T1 + 592*T1^2 - 398*T1^3 + 88*T1^4 - 398*T2 + 1410*T1*T2 - 
     885*T1^2*T2 - 885*T1^3*T2 + 1410*T1^4*T2 - 398*T1^5*T2 + 592*T2^2 - 
     885*T1*T2^2 - 3569*T1^2*T2^2 + 6793*T1^3*T2^2 - 3569*T1^4*T2^2 - 
     885*T1^5*T2^2 + 592*T1^6*T2^2 - 398*T2^3 - 885*T1*T2^3 + 
     6793*T1^2*T2^3 - 4572*T1^3*T2^3 - 4572*T1^4*T2^3 + 6793*T1^5*T2^3 - 
     885*T1^6*T2^3 - 398*T1^7*T2^3 + 88*T2^4 + 1410*T1*T2^4 - 
     3569*T1^2*T2^4 - 4572*T1^3*T2^4 + 10944*T1^4*T2^4 - 4572*T1^5*T2^4 - 
     3569*T1^6*T2^4 + 1410*T1^7*T2^4 + 88*T1^8*T2^4 - 398*T1*T2^5 - 
     885*T1^2*T2^5 + 6793*T1^3*T2^5 - 4572*T1^4*T2^5 - 4572*T1^5*T2^5 + 
     6793*T1^6*T2^5 - 885*T1^7*T2^5 - 398*T1^8*T2^5 + 592*T1^2*T2^6 - 
     885*T1^3*T2^6 - 3569*T1^4*T2^6 + 6793*T1^5*T2^6 - 3569*T1^6*T2^6 - 
     885*T1^7*T2^6 + 592*T1^8*T2^6 - 398*T1^3*T2^7 + 1410*T1^4*T2^7 - 
     885*T1^5*T2^7 - 885*T1^6*T2^7 + 1410*T1^7*T2^7 - 398*T1^8*T2^7 + 
     88*T1^4*T2^8 - 398*T1^5*T2^8 + 592*T1^6*T2^8 - 398*T1^7*T2^8 + 
     88*T1^8*T2^8)/(T1^4*T2^4)}, 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)/(T1^3*T2^3)}, Knot[12, NonAlternating, 431] -> 
  {-((1 - 8*T + 24*T^2 - 35*T^3 + 24*T^4 - 8*T^5 + T^6)/T^3), 
   -((T1^2 + T1^3 - 2*T1*T2 - 20*T1^3*T2 - 2*T1^5*T2 + T2^2 + 20*T1^2*T2^2 + 
      41*T1^3*T2^2 + 41*T1^4*T2^2 + 20*T1^5*T2^2 + T1^7*T2^2 + T2^3 - 
      20*T1*T2^3 + 41*T1^2*T2^3 - 264*T1^3*T2^3 + 118*T1^4*T2^3 - 
      264*T1^5*T2^3 + 41*T1^6*T2^3 - 20*T1^7*T2^3 + T1^8*T2^3 + 
      41*T1^2*T2^4 + 118*T1^3*T2^4 + 182*T1^4*T2^4 + 182*T1^5*T2^4 + 
      118*T1^6*T2^4 + 41*T1^7*T2^4 - 2*T1*T2^5 + 20*T1^2*T2^5 - 
      264*T1^3*T2^5 + 182*T1^4*T2^5 - 708*T1^5*T2^5 + 182*T1^6*T2^5 - 
      264*T1^7*T2^5 + 20*T1^8*T2^5 - 2*T1^9*T2^5 + 41*T1^3*T2^6 + 
      118*T1^4*T2^6 + 182*T1^5*T2^6 + 182*T1^6*T2^6 + 118*T1^7*T2^6 + 
      41*T1^8*T2^6 + T1^2*T2^7 - 20*T1^3*T2^7 + 41*T1^4*T2^7 - 
      264*T1^5*T2^7 + 118*T1^6*T2^7 - 264*T1^7*T2^7 + 41*T1^8*T2^7 - 
      20*T1^9*T2^7 + T1^10*T2^7 + T1^3*T2^8 + 20*T1^5*T2^8 + 41*T1^6*T2^8 + 
      41*T1^7*T2^8 + 20*T1^8*T2^8 + T1^10*T2^8 - 2*T1^5*T2^9 - 20*T1^7*T2^9 - 
      2*T1^9*T2^9 + T1^7*T2^10 + T1^8*T2^10)/(T1^5*T2^5))}, 
 Knot[12, NonAlternating, 432] -> {(3 - 4*T + 3*T^2 - 4*T^3 + 3*T^4)/T^2, 
   -((57 - 71*T1 + 49*T1^2 - 71*T1^3 + 57*T1^4 - 71*T2 + 10*T1*T2 + 
      36*T1^2*T2 + 36*T1^3*T2 + 10*T1^4*T2 - 71*T1^5*T2 + 49*T2^2 + 
      36*T1*T2^2 - 55*T1^2*T2^2 - 7*T1^3*T2^2 - 55*T1^4*T2^2 + 36*T1^5*T2^2 + 
      49*T1^6*T2^2 - 71*T2^3 + 36*T1*T2^3 - 7*T1^2*T2^3 + 16*T1^3*T2^3 + 
      16*T1^4*T2^3 - 7*T1^5*T2^3 + 36*T1^6*T2^3 - 71*T1^7*T2^3 + 57*T2^4 + 
      10*T1*T2^4 - 55*T1^2*T2^4 + 16*T1^3*T2^4 + 16*T1^5*T2^4 - 
      55*T1^6*T2^4 + 10*T1^7*T2^4 + 57*T1^8*T2^4 - 71*T1*T2^5 + 
      36*T1^2*T2^5 - 7*T1^3*T2^5 + 16*T1^4*T2^5 + 16*T1^5*T2^5 - 
      7*T1^6*T2^5 + 36*T1^7*T2^5 - 71*T1^8*T2^5 + 49*T1^2*T2^6 + 
      36*T1^3*T2^6 - 55*T1^4*T2^6 - 7*T1^5*T2^6 - 55*T1^6*T2^6 + 
      36*T1^7*T2^6 + 49*T1^8*T2^6 - 71*T1^3*T2^7 + 10*T1^4*T2^7 + 
      36*T1^5*T2^7 + 36*T1^6*T2^7 + 10*T1^7*T2^7 - 71*T1^8*T2^7 + 
      57*T1^4*T2^8 - 71*T1^5*T2^8 + 49*T1^6*T2^8 - 71*T1^7*T2^8 + 
      57*T1^8*T2^8)/(T1^4*T2^4))}, Knot[12, NonAlternating, 433] -> 
  {-((1 - 2*T - 4*T^2 + 9*T^3 - 4*T^4 - 2*T^5 + T^6)/T^3), 
   (2 - 4*T1 - 8*T1^2 + 18*T1^3 - 8*T1^4 - 4*T1^5 + 2*T1^6 - 4*T2 + 4*T1*T2 + 
     25*T1^2*T2 - 21*T1^3*T2 - 21*T1^4*T2 + 25*T1^5*T2 + 4*T1^6*T2 - 
     4*T1^7*T2 - 8*T2^2 + 25*T1*T2^2 + T1^2*T2^2 - 80*T1^3*T2^2 + 
     131*T1^4*T2^2 - 80*T1^5*T2^2 + T1^6*T2^2 + 25*T1^7*T2^2 - 8*T1^8*T2^2 + 
     18*T2^3 - 21*T1*T2^3 - 80*T1^2*T2^3 + 88*T1^3*T2^3 - 33*T1^4*T2^3 - 
     33*T1^5*T2^3 + 88*T1^6*T2^3 - 80*T1^7*T2^3 - 21*T1^8*T2^3 + 
     18*T1^9*T2^3 - 8*T2^4 - 21*T1*T2^4 + 131*T1^2*T2^4 - 33*T1^3*T2^4 - 
     306*T1^4*T2^4 + 502*T1^5*T2^4 - 306*T1^6*T2^4 - 33*T1^7*T2^4 + 
     131*T1^8*T2^4 - 21*T1^9*T2^4 - 8*T1^10*T2^4 - 4*T2^5 + 25*T1*T2^5 - 
     80*T1^2*T2^5 - 33*T1^3*T2^5 + 502*T1^4*T2^5 - 342*T1^5*T2^5 - 
     342*T1^6*T2^5 + 502*T1^7*T2^5 - 33*T1^8*T2^5 - 80*T1^9*T2^5 + 
     25*T1^10*T2^5 - 4*T1^11*T2^5 + 2*T2^6 + 4*T1*T2^6 + T1^2*T2^6 + 
     88*T1^3*T2^6 - 306*T1^4*T2^6 - 342*T1^5*T2^6 + 864*T1^6*T2^6 - 
     342*T1^7*T2^6 - 306*T1^8*T2^6 + 88*T1^9*T2^6 + T1^10*T2^6 + 
     4*T1^11*T2^6 + 2*T1^12*T2^6 - 4*T1*T2^7 + 25*T1^2*T2^7 - 80*T1^3*T2^7 - 
     33*T1^4*T2^7 + 502*T1^5*T2^7 - 342*T1^6*T2^7 - 342*T1^7*T2^7 + 
     502*T1^8*T2^7 - 33*T1^9*T2^7 - 80*T1^10*T2^7 + 25*T1^11*T2^7 - 
     4*T1^12*T2^7 - 8*T1^2*T2^8 - 21*T1^3*T2^8 + 131*T1^4*T2^8 - 
     33*T1^5*T2^8 - 306*T1^6*T2^8 + 502*T1^7*T2^8 - 306*T1^8*T2^8 - 
     33*T1^9*T2^8 + 131*T1^10*T2^8 - 21*T1^11*T2^8 - 8*T1^12*T2^8 + 
     18*T1^3*T2^9 - 21*T1^4*T2^9 - 80*T1^5*T2^9 + 88*T1^6*T2^9 - 
     33*T1^7*T2^9 - 33*T1^8*T2^9 + 88*T1^9*T2^9 - 80*T1^10*T2^9 - 
     21*T1^11*T2^9 + 18*T1^12*T2^9 - 8*T1^4*T2^10 + 25*T1^5*T2^10 + 
     T1^6*T2^10 - 80*T1^7*T2^10 + 131*T1^8*T2^10 - 80*T1^9*T2^10 + 
     T1^10*T2^10 + 25*T1^11*T2^10 - 8*T1^12*T2^10 - 4*T1^5*T2^11 + 
     4*T1^6*T2^11 + 25*T1^7*T2^11 - 21*T1^8*T2^11 - 21*T1^9*T2^11 + 
     25*T1^10*T2^11 + 4*T1^11*T2^11 - 4*T1^12*T2^11 + 2*T1^6*T2^12 - 
     4*T1^7*T2^12 - 8*T1^8*T2^12 + 18*T1^9*T2^12 - 8*T1^10*T2^12 - 
     4*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 434] -> 
  {-(((1 - 3*T + T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3), 
   (T1^2 + T1^3 - 11*T1^2*T2 - 11*T1^4*T2 + T2^2 - 11*T1*T2^2 + 
     60*T1^2*T2^2 + 7*T1^3*T2^2 + 7*T1^4*T2^2 + 60*T1^5*T2^2 - 11*T1^6*T2^2 + 
     T1^7*T2^2 + T2^3 + 7*T1^2*T2^3 - 306*T1^3*T2^3 + 248*T1^4*T2^3 - 
     306*T1^5*T2^3 + 7*T1^6*T2^3 + T1^8*T2^3 - 11*T1*T2^4 + 7*T1^2*T2^4 + 
     248*T1^3*T2^4 + 88*T1^4*T2^4 + 88*T1^5*T2^4 + 248*T1^6*T2^4 + 
     7*T1^7*T2^4 - 11*T1^8*T2^4 + 60*T1^2*T2^5 - 306*T1^3*T2^5 + 
     88*T1^4*T2^5 - 504*T1^5*T2^5 + 88*T1^6*T2^5 - 306*T1^7*T2^5 + 
     60*T1^8*T2^5 - 11*T1^2*T2^6 + 7*T1^3*T2^6 + 248*T1^4*T2^6 + 
     88*T1^5*T2^6 + 88*T1^6*T2^6 + 248*T1^7*T2^6 + 7*T1^8*T2^6 - 
     11*T1^9*T2^6 + T1^2*T2^7 + 7*T1^4*T2^7 - 306*T1^5*T2^7 + 248*T1^6*T2^7 - 
     306*T1^7*T2^7 + 7*T1^8*T2^7 + T1^10*T2^7 + T1^3*T2^8 - 11*T1^4*T2^8 + 
     60*T1^5*T2^8 + 7*T1^6*T2^8 + 7*T1^7*T2^8 + 60*T1^8*T2^8 - 11*T1^9*T2^8 + 
     T1^10*T2^8 - 11*T1^6*T2^9 - 11*T1^8*T2^9 + T1^7*T2^10 + T1^8*T2^10)/
    (T1^5*T2^5)}, Knot[12, NonAlternating, 435] -> 
  {-(((1 - T + T^2)*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^3), 
   (T1 + T1^4 + T2 - 12*T1*T2 + 13*T1^2*T2 - 24*T1^3*T2 + 13*T1^4*T2 - 
     12*T1^5*T2 + T1^6*T2 + 13*T1*T2^2 + 34*T1^2*T2^2 + 2*T1^3*T2^2 + 
     2*T1^4*T2^2 + 34*T1^5*T2^2 + 13*T1^6*T2^2 - 24*T1*T2^3 + 2*T1^2*T2^3 - 
     317*T1^3*T2^3 + 387*T1^4*T2^3 - 317*T1^5*T2^3 + 2*T1^6*T2^3 - 
     24*T1^7*T2^3 + T2^4 + 13*T1*T2^4 + 2*T1^2*T2^4 + 387*T1^3*T2^4 - 
     130*T1^4*T2^4 - 130*T1^5*T2^4 + 387*T1^6*T2^4 + 2*T1^7*T2^4 + 
     13*T1^8*T2^4 + T1^9*T2^4 - 12*T1*T2^5 + 34*T1^2*T2^5 - 317*T1^3*T2^5 - 
     130*T1^4*T2^5 + 180*T1^5*T2^5 - 130*T1^6*T2^5 - 317*T1^7*T2^5 + 
     34*T1^8*T2^5 - 12*T1^9*T2^5 + T1*T2^6 + 13*T1^2*T2^6 + 2*T1^3*T2^6 + 
     387*T1^4*T2^6 - 130*T1^5*T2^6 - 130*T1^6*T2^6 + 387*T1^7*T2^6 + 
     2*T1^8*T2^6 + 13*T1^9*T2^6 + T1^10*T2^6 - 24*T1^3*T2^7 + 2*T1^4*T2^7 - 
     317*T1^5*T2^7 + 387*T1^6*T2^7 - 317*T1^7*T2^7 + 2*T1^8*T2^7 - 
     24*T1^9*T2^7 + 13*T1^4*T2^8 + 34*T1^5*T2^8 + 2*T1^6*T2^8 + 2*T1^7*T2^8 + 
     34*T1^8*T2^8 + 13*T1^9*T2^8 + T1^4*T2^9 - 12*T1^5*T2^9 + 13*T1^6*T2^9 - 
     24*T1^7*T2^9 + 13*T1^8*T2^9 - 12*T1^9*T2^9 + T1^10*T2^9 + T1^6*T2^10 + 
     T1^9*T2^10)/(T1^5*T2^5)}, Knot[12, NonAlternating, 436] -> 
  {-((1 - 5*T + 6*T^2 - 5*T^3 + 6*T^4 - 5*T^5 + T^6)/T^3), 
   (2*(1 - 5*T1 + 6*T1^2 - 5*T1^3 + 6*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
      20*T1*T2 - 5*T1^2*T2 - 5*T1^3*T2 - 5*T1^4*T2 - 5*T1^5*T2 + 20*T1^6*T2 - 
      5*T1^7*T2 + 6*T2^2 - 5*T1*T2^2 - 76*T1^2*T2^2 + 75*T1^3*T2^2 - 
      35*T1^4*T2^2 + 75*T1^5*T2^2 - 76*T1^6*T2^2 - 5*T1^7*T2^2 + 
      6*T1^8*T2^2 - 5*T2^3 - 5*T1*T2^3 + 75*T1^2*T2^3 + 6*T1^3*T2^3 - 
      42*T1^4*T2^3 - 42*T1^5*T2^3 + 6*T1^6*T2^3 + 75*T1^7*T2^3 - 
      5*T1^8*T2^3 - 5*T1^9*T2^3 + 6*T2^4 - 5*T1*T2^4 - 35*T1^2*T2^4 - 
      42*T1^3*T2^4 + 54*T1^4*T2^4 - 15*T1^5*T2^4 + 54*T1^6*T2^4 - 
      42*T1^7*T2^4 - 35*T1^8*T2^4 - 5*T1^9*T2^4 + 6*T1^10*T2^4 - 5*T2^5 - 
      5*T1*T2^5 + 75*T1^2*T2^5 - 42*T1^3*T2^5 - 15*T1^4*T2^5 + 16*T1^5*T2^5 + 
      16*T1^6*T2^5 - 15*T1^7*T2^5 - 42*T1^8*T2^5 + 75*T1^9*T2^5 - 
      5*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 20*T1*T2^6 - 76*T1^2*T2^6 + 
      6*T1^3*T2^6 + 54*T1^4*T2^6 + 16*T1^5*T2^6 - 84*T1^6*T2^6 + 
      16*T1^7*T2^6 + 54*T1^8*T2^6 + 6*T1^9*T2^6 - 76*T1^10*T2^6 + 
      20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 5*T1^2*T2^7 + 75*T1^3*T2^7 - 
      42*T1^4*T2^7 - 15*T1^5*T2^7 + 16*T1^6*T2^7 + 16*T1^7*T2^7 - 
      15*T1^8*T2^7 - 42*T1^9*T2^7 + 75*T1^10*T2^7 - 5*T1^11*T2^7 - 
      5*T1^12*T2^7 + 6*T1^2*T2^8 - 5*T1^3*T2^8 - 35*T1^4*T2^8 - 
      42*T1^5*T2^8 + 54*T1^6*T2^8 - 15*T1^7*T2^8 + 54*T1^8*T2^8 - 
      42*T1^9*T2^8 - 35*T1^10*T2^8 - 5*T1^11*T2^8 + 6*T1^12*T2^8 - 
      5*T1^3*T2^9 - 5*T1^4*T2^9 + 75*T1^5*T2^9 + 6*T1^6*T2^9 - 42*T1^7*T2^9 - 
      42*T1^8*T2^9 + 6*T1^9*T2^9 + 75*T1^10*T2^9 - 5*T1^11*T2^9 - 
      5*T1^12*T2^9 + 6*T1^4*T2^10 - 5*T1^5*T2^10 - 76*T1^6*T2^10 + 
      75*T1^7*T2^10 - 35*T1^8*T2^10 + 75*T1^9*T2^10 - 76*T1^10*T2^10 - 
      5*T1^11*T2^10 + 6*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 
      5*T1^7*T2^11 - 5*T1^8*T2^11 - 5*T1^9*T2^11 - 5*T1^10*T2^11 + 
      20*T1^11*T2^11 - 5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 
      6*T1^8*T2^12 - 5*T1^9*T2^12 + 6*T1^10*T2^12 - 5*T1^11*T2^12 + 
      T1^12*T2^12))/(T1^6*T2^6)}, Knot[12, NonAlternating, 437] -> 
  {(1 + T - 8*T^2 + 13*T^3 - 8*T^4 + T^5 + T^6)/T^3, 
   -((1 + T1 - 8*T1^2 + 13*T1^3 - 8*T1^4 + T1^5 + T1^6 + T2 - 12*T1*T2 + 
      20*T1^2*T2 - 12*T1^3*T2 - 12*T1^4*T2 + 20*T1^5*T2 - 12*T1^6*T2 + 
      T1^7*T2 - 8*T2^2 + 20*T1*T2^2 + 8*T1^2*T2^2 - 51*T1^3*T2^2 + 
      78*T1^4*T2^2 - 51*T1^5*T2^2 + 8*T1^6*T2^2 + 20*T1^7*T2^2 - 
      8*T1^8*T2^2 + 13*T2^3 - 12*T1*T2^3 - 51*T1^2*T2^3 + 74*T1^3*T2^3 - 
      40*T1^4*T2^3 - 40*T1^5*T2^3 + 74*T1^6*T2^3 - 51*T1^7*T2^3 - 
      12*T1^8*T2^3 + 13*T1^9*T2^3 - 8*T2^4 - 12*T1*T2^4 + 78*T1^2*T2^4 - 
      40*T1^3*T2^4 - 43*T1^4*T2^4 + 105*T1^5*T2^4 - 43*T1^6*T2^4 - 
      40*T1^7*T2^4 + 78*T1^8*T2^4 - 12*T1^9*T2^4 - 8*T1^10*T2^4 + T2^5 + 
      20*T1*T2^5 - 51*T1^2*T2^5 - 40*T1^3*T2^5 + 105*T1^4*T2^5 - 
      74*T1^5*T2^5 - 74*T1^6*T2^5 + 105*T1^7*T2^5 - 40*T1^8*T2^5 - 
      51*T1^9*T2^5 + 20*T1^10*T2^5 + T1^11*T2^5 + T2^6 - 12*T1*T2^6 + 
      8*T1^2*T2^6 + 74*T1^3*T2^6 - 43*T1^4*T2^6 - 74*T1^5*T2^6 + 
      180*T1^6*T2^6 - 74*T1^7*T2^6 - 43*T1^8*T2^6 + 74*T1^9*T2^6 + 
      8*T1^10*T2^6 - 12*T1^11*T2^6 + T1^12*T2^6 + T1*T2^7 + 20*T1^2*T2^7 - 
      51*T1^3*T2^7 - 40*T1^4*T2^7 + 105*T1^5*T2^7 - 74*T1^6*T2^7 - 
      74*T1^7*T2^7 + 105*T1^8*T2^7 - 40*T1^9*T2^7 - 51*T1^10*T2^7 + 
      20*T1^11*T2^7 + T1^12*T2^7 - 8*T1^2*T2^8 - 12*T1^3*T2^8 + 
      78*T1^4*T2^8 - 40*T1^5*T2^8 - 43*T1^6*T2^8 + 105*T1^7*T2^8 - 
      43*T1^8*T2^8 - 40*T1^9*T2^8 + 78*T1^10*T2^8 - 12*T1^11*T2^8 - 
      8*T1^12*T2^8 + 13*T1^3*T2^9 - 12*T1^4*T2^9 - 51*T1^5*T2^9 + 
      74*T1^6*T2^9 - 40*T1^7*T2^9 - 40*T1^8*T2^9 + 74*T1^9*T2^9 - 
      51*T1^10*T2^9 - 12*T1^11*T2^9 + 13*T1^12*T2^9 - 8*T1^4*T2^10 + 
      20*T1^5*T2^10 + 8*T1^6*T2^10 - 51*T1^7*T2^10 + 78*T1^8*T2^10 - 
      51*T1^9*T2^10 + 8*T1^10*T2^10 + 20*T1^11*T2^10 - 8*T1^12*T2^10 + 
      T1^5*T2^11 - 12*T1^6*T2^11 + 20*T1^7*T2^11 - 12*T1^8*T2^11 - 
      12*T1^9*T2^11 + 20*T1^10*T2^11 - 12*T1^11*T2^11 + T1^12*T2^11 + 
      T1^6*T2^12 + T1^7*T2^12 - 8*T1^8*T2^12 + 13*T1^9*T2^12 - 
      8*T1^10*T2^12 + T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 438] -> 
  {-(((1 - T + T^2)*(1 - 2*T + T^2 - 2*T^3 + T^4))/T^3), 
   -((2 - 6*T1 + 8*T1^2 - 10*T1^3 + 8*T1^4 - 6*T1^5 + 2*T1^6 - 6*T2 + 
      12*T1*T2 - 6*T1^2*T2 + 5*T1^3*T2 + 5*T1^4*T2 - 6*T1^5*T2 + 12*T1^6*T2 - 
      6*T1^7*T2 + 8*T2^2 - 6*T1*T2^2 - 13*T1^2*T2^2 + 11*T1^3*T2^2 - 
      21*T1^4*T2^2 + 11*T1^5*T2^2 - 13*T1^6*T2^2 - 6*T1^7*T2^2 + 
      8*T1^8*T2^2 - 10*T2^3 + 5*T1*T2^3 + 11*T1^2*T2^3 + 4*T1^3*T2^3 + 
      5*T1^4*T2^3 + 5*T1^5*T2^3 + 4*T1^6*T2^3 + 11*T1^7*T2^3 + 5*T1^8*T2^3 - 
      10*T1^9*T2^3 + 8*T2^4 + 5*T1*T2^4 - 21*T1^2*T2^4 + 5*T1^3*T2^4 - 
      15*T1^4*T2^4 + T1^5*T2^4 - 15*T1^6*T2^4 + 5*T1^7*T2^4 - 21*T1^8*T2^4 + 
      5*T1^9*T2^4 + 8*T1^10*T2^4 - 6*T2^5 - 6*T1*T2^5 + 11*T1^2*T2^5 + 
      5*T1^3*T2^5 + T1^4*T2^5 + 10*T1^5*T2^5 + 10*T1^6*T2^5 + T1^7*T2^5 + 
      5*T1^8*T2^5 + 11*T1^9*T2^5 - 6*T1^10*T2^5 - 6*T1^11*T2^5 + 2*T2^6 + 
      12*T1*T2^6 - 13*T1^2*T2^6 + 4*T1^3*T2^6 - 15*T1^4*T2^6 + 10*T1^5*T2^6 - 
      24*T1^6*T2^6 + 10*T1^7*T2^6 - 15*T1^8*T2^6 + 4*T1^9*T2^6 - 
      13*T1^10*T2^6 + 12*T1^11*T2^6 + 2*T1^12*T2^6 - 6*T1*T2^7 - 
      6*T1^2*T2^7 + 11*T1^3*T2^7 + 5*T1^4*T2^7 + T1^5*T2^7 + 10*T1^6*T2^7 + 
      10*T1^7*T2^7 + T1^8*T2^7 + 5*T1^9*T2^7 + 11*T1^10*T2^7 - 6*T1^11*T2^7 - 
      6*T1^12*T2^7 + 8*T1^2*T2^8 + 5*T1^3*T2^8 - 21*T1^4*T2^8 + 5*T1^5*T2^8 - 
      15*T1^6*T2^8 + T1^7*T2^8 - 15*T1^8*T2^8 + 5*T1^9*T2^8 - 21*T1^10*T2^8 + 
      5*T1^11*T2^8 + 8*T1^12*T2^8 - 10*T1^3*T2^9 + 5*T1^4*T2^9 + 
      11*T1^5*T2^9 + 4*T1^6*T2^9 + 5*T1^7*T2^9 + 5*T1^8*T2^9 + 4*T1^9*T2^9 + 
      11*T1^10*T2^9 + 5*T1^11*T2^9 - 10*T1^12*T2^9 + 8*T1^4*T2^10 - 
      6*T1^5*T2^10 - 13*T1^6*T2^10 + 11*T1^7*T2^10 - 21*T1^8*T2^10 + 
      11*T1^9*T2^10 - 13*T1^10*T2^10 - 6*T1^11*T2^10 + 8*T1^12*T2^10 - 
      6*T1^5*T2^11 + 12*T1^6*T2^11 - 6*T1^7*T2^11 + 5*T1^8*T2^11 + 
      5*T1^9*T2^11 - 6*T1^10*T2^11 + 12*T1^11*T2^11 - 6*T1^12*T2^11 + 
      2*T1^6*T2^12 - 6*T1^7*T2^12 + 8*T1^8*T2^12 - 10*T1^9*T2^12 + 
      8*T1^10*T2^12 - 6*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 439] -> {((1 - T + T^2)*(1 - T^2 + T^4))/T^3, 
   -((1 - T1 + T1^3 - T1^5 + T1^6 - T2 - 2*T1*T2 + 3*T1^2*T2 - 2*T1^3*T2 - 
      2*T1^4*T2 + 3*T1^5*T2 - 2*T1^6*T2 - T1^7*T2 + 3*T1*T2^2 + T1^2*T2^2 - 
      T1^3*T2^2 + T1^4*T2^2 - T1^5*T2^2 + T1^6*T2^2 + 3*T1^7*T2^2 + T2^3 - 
      2*T1*T2^3 - T1^2*T2^3 + 4*T1^3*T2^3 - 2*T1^4*T2^3 - 2*T1^5*T2^3 + 
      4*T1^6*T2^3 - T1^7*T2^3 - 2*T1^8*T2^3 + T1^9*T2^3 - 2*T1*T2^4 + 
      T1^2*T2^4 - 2*T1^3*T2^4 - 7*T1^4*T2^4 + 9*T1^5*T2^4 - 7*T1^6*T2^4 - 
      2*T1^7*T2^4 + T1^8*T2^4 - 2*T1^9*T2^4 - T2^5 + 3*T1*T2^5 - T1^2*T2^5 - 
      2*T1^3*T2^5 + 9*T1^4*T2^5 - 4*T1^5*T2^5 - 4*T1^6*T2^5 + 9*T1^7*T2^5 - 
      2*T1^8*T2^5 - T1^9*T2^5 + 3*T1^10*T2^5 - T1^11*T2^5 + T2^6 - 
      2*T1*T2^6 + T1^2*T2^6 + 4*T1^3*T2^6 - 7*T1^4*T2^6 - 4*T1^5*T2^6 + 
      12*T1^6*T2^6 - 4*T1^7*T2^6 - 7*T1^8*T2^6 + 4*T1^9*T2^6 + T1^10*T2^6 - 
      2*T1^11*T2^6 + T1^12*T2^6 - T1*T2^7 + 3*T1^2*T2^7 - T1^3*T2^7 - 
      2*T1^4*T2^7 + 9*T1^5*T2^7 - 4*T1^6*T2^7 - 4*T1^7*T2^7 + 9*T1^8*T2^7 - 
      2*T1^9*T2^7 - T1^10*T2^7 + 3*T1^11*T2^7 - T1^12*T2^7 - 2*T1^3*T2^8 + 
      T1^4*T2^8 - 2*T1^5*T2^8 - 7*T1^6*T2^8 + 9*T1^7*T2^8 - 7*T1^8*T2^8 - 
      2*T1^9*T2^8 + T1^10*T2^8 - 2*T1^11*T2^8 + T1^3*T2^9 - 2*T1^4*T2^9 - 
      T1^5*T2^9 + 4*T1^6*T2^9 - 2*T1^7*T2^9 - 2*T1^8*T2^9 + 4*T1^9*T2^9 - 
      T1^10*T2^9 - 2*T1^11*T2^9 + T1^12*T2^9 + 3*T1^5*T2^10 + T1^6*T2^10 - 
      T1^7*T2^10 + T1^8*T2^10 - T1^9*T2^10 + T1^10*T2^10 + 3*T1^11*T2^10 - 
      T1^5*T2^11 - 2*T1^6*T2^11 + 3*T1^7*T2^11 - 2*T1^8*T2^11 - 
      2*T1^9*T2^11 + 3*T1^10*T2^11 - 2*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)/
     (T1^6*T2^6))}, 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)^2*
     (1 - 3*T1 + T1^2 - 3*T2 + 6*T1*T2 + 6*T1^2*T2 - 3*T1^3*T2 + T2^2 + 
      6*T1*T2^2 - 24*T1^2*T2^2 + 6*T1^3*T2^2 + T1^4*T2^2 - 3*T1*T2^3 + 
      6*T1^2*T2^3 + 6*T1^3*T2^3 - 3*T1^4*T2^3 + T1^2*T2^4 - 3*T1^3*T2^4 + 
      T1^4*T2^4))/(T1^6*T2^6)}, Knot[12, NonAlternating, 441] -> 
  {-(((1 - T + T^2)*(1 - 8*T + 13*T^2 - 8*T^3 + T^4))/T^3), 
   -((2 - 18*T1 + 44*T1^2 - 58*T1^3 + 44*T1^4 - 18*T1^5 + 2*T1^6 - 18*T2 + 
      156*T1*T2 - 248*T1^2*T2 + 133*T1^3*T2 + 133*T1^4*T2 - 248*T1^5*T2 + 
      156*T1^6*T2 - 18*T1^7*T2 + 44*T2^2 - 248*T1*T2^2 - 530*T1^2*T2^2 + 
      2067*T1^3*T2^2 - 2986*T1^4*T2^2 + 2067*T1^5*T2^2 - 530*T1^6*T2^2 - 
      248*T1^7*T2^2 + 44*T1^8*T2^2 - 58*T2^3 + 133*T1*T2^3 + 2067*T1^2*T2^3 - 
      3680*T1^3*T2^3 + 2100*T1^4*T2^3 + 2100*T1^5*T2^3 - 3680*T1^6*T2^3 + 
      2067*T1^7*T2^3 + 133*T1^8*T2^3 - 58*T1^9*T2^3 + 44*T2^4 + 133*T1*T2^4 - 
      2986*T1^2*T2^4 + 2100*T1^3*T2^4 + 2474*T1^4*T2^4 - 6032*T1^5*T2^4 + 
      2474*T1^6*T2^4 + 2100*T1^7*T2^4 - 2986*T1^8*T2^4 + 133*T1^9*T2^4 + 
      44*T1^10*T2^4 - 18*T2^5 - 248*T1*T2^5 + 2067*T1^2*T2^5 + 
      2100*T1^3*T2^5 - 6032*T1^4*T2^5 + 4088*T1^5*T2^5 + 4088*T1^6*T2^5 - 
      6032*T1^7*T2^5 + 2100*T1^8*T2^5 + 2067*T1^9*T2^5 - 248*T1^10*T2^5 - 
      18*T1^11*T2^5 + 2*T2^6 + 156*T1*T2^6 - 530*T1^2*T2^6 - 3680*T1^3*T2^6 + 
      2474*T1^4*T2^6 + 4088*T1^5*T2^6 - 9540*T1^6*T2^6 + 4088*T1^7*T2^6 + 
      2474*T1^8*T2^6 - 3680*T1^9*T2^6 - 530*T1^10*T2^6 + 156*T1^11*T2^6 + 
      2*T1^12*T2^6 - 18*T1*T2^7 - 248*T1^2*T2^7 + 2067*T1^3*T2^7 + 
      2100*T1^4*T2^7 - 6032*T1^5*T2^7 + 4088*T1^6*T2^7 + 4088*T1^7*T2^7 - 
      6032*T1^8*T2^7 + 2100*T1^9*T2^7 + 2067*T1^10*T2^7 - 248*T1^11*T2^7 - 
      18*T1^12*T2^7 + 44*T1^2*T2^8 + 133*T1^3*T2^8 - 2986*T1^4*T2^8 + 
      2100*T1^5*T2^8 + 2474*T1^6*T2^8 - 6032*T1^7*T2^8 + 2474*T1^8*T2^8 + 
      2100*T1^9*T2^8 - 2986*T1^10*T2^8 + 133*T1^11*T2^8 + 44*T1^12*T2^8 - 
      58*T1^3*T2^9 + 133*T1^4*T2^9 + 2067*T1^5*T2^9 - 3680*T1^6*T2^9 + 
      2100*T1^7*T2^9 + 2100*T1^8*T2^9 - 3680*T1^9*T2^9 + 2067*T1^10*T2^9 + 
      133*T1^11*T2^9 - 58*T1^12*T2^9 + 44*T1^4*T2^10 - 248*T1^5*T2^10 - 
      530*T1^6*T2^10 + 2067*T1^7*T2^10 - 2986*T1^8*T2^10 + 2067*T1^9*T2^10 - 
      530*T1^10*T2^10 - 248*T1^11*T2^10 + 44*T1^12*T2^10 - 18*T1^5*T2^11 + 
      156*T1^6*T2^11 - 248*T1^7*T2^11 + 133*T1^8*T2^11 + 133*T1^9*T2^11 - 
      248*T1^10*T2^11 + 156*T1^11*T2^11 - 18*T1^12*T2^11 + 2*T1^6*T2^12 - 
      18*T1^7*T2^12 + 44*T1^8*T2^12 - 58*T1^9*T2^12 + 44*T1^10*T2^12 - 
      18*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 442] -> {-(((1 - T + T^2)*(3 - 7*T + 3*T^2))/T^2), 
   (-2*(15 - 49*T1 + 62*T1^2 - 49*T1^3 + 15*T1^4 - 49*T2 + 116*T1*T2 - 
      51*T1^2*T2 - 51*T1^3*T2 + 116*T1^4*T2 - 49*T1^5*T2 + 62*T2^2 - 
      51*T1*T2^2 - 213*T1^2*T2^2 + 338*T1^3*T2^2 - 213*T1^4*T2^2 - 
      51*T1^5*T2^2 + 62*T1^6*T2^2 - 49*T2^3 - 51*T1*T2^3 + 338*T1^2*T2^3 - 
      202*T1^3*T2^3 - 202*T1^4*T2^3 + 338*T1^5*T2^3 - 51*T1^6*T2^3 - 
      49*T1^7*T2^3 + 15*T2^4 + 116*T1*T2^4 - 213*T1^2*T2^4 - 202*T1^3*T2^4 + 
      504*T1^4*T2^4 - 202*T1^5*T2^4 - 213*T1^6*T2^4 + 116*T1^7*T2^4 + 
      15*T1^8*T2^4 - 49*T1*T2^5 - 51*T1^2*T2^5 + 338*T1^3*T2^5 - 
      202*T1^4*T2^5 - 202*T1^5*T2^5 + 338*T1^6*T2^5 - 51*T1^7*T2^5 - 
      49*T1^8*T2^5 + 62*T1^2*T2^6 - 51*T1^3*T2^6 - 213*T1^4*T2^6 + 
      338*T1^5*T2^6 - 213*T1^6*T2^6 - 51*T1^7*T2^6 + 62*T1^8*T2^6 - 
      49*T1^3*T2^7 + 116*T1^4*T2^7 - 51*T1^5*T2^7 - 51*T1^6*T2^7 + 
      116*T1^7*T2^7 - 49*T1^8*T2^7 + 15*T1^4*T2^8 - 49*T1^5*T2^8 + 
      62*T1^6*T2^8 - 49*T1^7*T2^8 + 15*T1^8*T2^8))/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 443] -> {((1 - T + T^2)*(3 - 5*T + 3*T^2))/T^2, 
   (3 - 6*T1 + 7*T1^2 - 6*T1^3 + 3*T1^4 - 6*T2 + 12*T1*T2 - 5*T1^2*T2 - 
     5*T1^3*T2 + 12*T1^4*T2 - 6*T1^5*T2 + 7*T2^2 - 5*T1*T2^2 - 93*T1^2*T2^2 + 
     145*T1^3*T2^2 - 93*T1^4*T2^2 - 5*T1^5*T2^2 + 7*T1^6*T2^2 - 6*T2^3 - 
     5*T1*T2^3 + 145*T1^2*T2^3 - 80*T1^3*T2^3 - 80*T1^4*T2^3 + 
     145*T1^5*T2^3 - 5*T1^6*T2^3 - 6*T1^7*T2^3 + 3*T2^4 + 12*T1*T2^4 - 
     93*T1^2*T2^4 - 80*T1^3*T2^4 + 168*T1^4*T2^4 - 80*T1^5*T2^4 - 
     93*T1^6*T2^4 + 12*T1^7*T2^4 + 3*T1^8*T2^4 - 6*T1*T2^5 - 5*T1^2*T2^5 + 
     145*T1^3*T2^5 - 80*T1^4*T2^5 - 80*T1^5*T2^5 + 145*T1^6*T2^5 - 
     5*T1^7*T2^5 - 6*T1^8*T2^5 + 7*T1^2*T2^6 - 5*T1^3*T2^6 - 93*T1^4*T2^6 + 
     145*T1^5*T2^6 - 93*T1^6*T2^6 - 5*T1^7*T2^6 + 7*T1^8*T2^6 - 6*T1^3*T2^7 + 
     12*T1^4*T2^7 - 5*T1^5*T2^7 - 5*T1^6*T2^7 + 12*T1^7*T2^7 - 6*T1^8*T2^7 + 
     3*T1^4*T2^8 - 6*T1^5*T2^8 + 7*T1^6*T2^8 - 6*T1^7*T2^8 + 3*T1^8*T2^8)/
    (T1^4*T2^4)}, Knot[12, NonAlternating, 444] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2))/T^2), 
   -((5 - 15*T1 + 19*T1^2 - 15*T1^3 + 5*T1^4 - 15*T2 + 28*T1*T2 - 
      12*T1^2*T2 - 12*T1^3*T2 + 28*T1^4*T2 - 15*T1^5*T2 + 19*T2^2 - 
      12*T1*T2^2 - 28*T1^2*T2^2 + 50*T1^3*T2^2 - 28*T1^4*T2^2 - 
      12*T1^5*T2^2 + 19*T1^6*T2^2 - 15*T2^3 - 12*T1*T2^3 + 50*T1^2*T2^3 - 
      42*T1^3*T2^3 - 42*T1^4*T2^3 + 50*T1^5*T2^3 - 12*T1^6*T2^3 - 
      15*T1^7*T2^3 + 5*T2^4 + 28*T1*T2^4 - 28*T1^2*T2^4 - 42*T1^3*T2^4 + 
      132*T1^4*T2^4 - 42*T1^5*T2^4 - 28*T1^6*T2^4 + 28*T1^7*T2^4 + 
      5*T1^8*T2^4 - 15*T1*T2^5 - 12*T1^2*T2^5 + 50*T1^3*T2^5 - 42*T1^4*T2^5 - 
      42*T1^5*T2^5 + 50*T1^6*T2^5 - 12*T1^7*T2^5 - 15*T1^8*T2^5 + 
      19*T1^2*T2^6 - 12*T1^3*T2^6 - 28*T1^4*T2^6 + 50*T1^5*T2^6 - 
      28*T1^6*T2^6 - 12*T1^7*T2^6 + 19*T1^8*T2^6 - 15*T1^3*T2^7 + 
      28*T1^4*T2^7 - 12*T1^5*T2^7 - 12*T1^6*T2^7 + 28*T1^7*T2^7 - 
      15*T1^8*T2^7 + 5*T1^4*T2^8 - 15*T1^5*T2^8 + 19*T1^6*T2^8 - 
      15*T1^7*T2^8 + 5*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, NonAlternating, 445] -> 
  {-(((1 - T + T^2)*(2 - 11*T + 17*T^2 - 11*T^3 + 2*T^4))/T^3), 
   -((17 - 108*T1 + 244*T1^2 - 315*T1^3 + 244*T1^4 - 108*T1^5 + 17*T1^6 - 
      108*T2 + 580*T1*T2 - 873*T1^2*T2 + 457*T1^3*T2 + 457*T1^4*T2 - 
      873*T1^5*T2 + 580*T1^6*T2 - 108*T1^7*T2 + 244*T2^2 - 873*T1*T2^2 - 
      510*T1^2*T2^2 + 3605*T1^3*T2^2 - 5516*T1^4*T2^2 + 3605*T1^5*T2^2 - 
      510*T1^6*T2^2 - 873*T1^7*T2^2 + 244*T1^8*T2^2 - 315*T2^3 + 
      457*T1*T2^3 + 3605*T1^2*T2^3 - 6818*T1^3*T2^3 + 3956*T1^4*T2^3 + 
      3956*T1^5*T2^3 - 6818*T1^6*T2^3 + 3605*T1^7*T2^3 + 457*T1^8*T2^3 - 
      315*T1^9*T2^3 + 244*T2^4 + 457*T1*T2^4 - 5516*T1^2*T2^4 + 
      3956*T1^3*T2^4 + 4848*T1^4*T2^4 - 11604*T1^5*T2^4 + 4848*T1^6*T2^4 + 
      3956*T1^7*T2^4 - 5516*T1^8*T2^4 + 457*T1^9*T2^4 + 244*T1^10*T2^4 - 
      108*T2^5 - 873*T1*T2^5 + 3605*T1^2*T2^5 + 3956*T1^3*T2^5 - 
      11604*T1^4*T2^5 + 7738*T1^5*T2^5 + 7738*T1^6*T2^5 - 11604*T1^7*T2^5 + 
      3956*T1^8*T2^5 + 3605*T1^9*T2^5 - 873*T1^10*T2^5 - 108*T1^11*T2^5 + 
      17*T2^6 + 580*T1*T2^6 - 510*T1^2*T2^6 - 6818*T1^3*T2^6 + 
      4848*T1^4*T2^6 + 7738*T1^5*T2^6 - 17892*T1^6*T2^6 + 7738*T1^7*T2^6 + 
      4848*T1^8*T2^6 - 6818*T1^9*T2^6 - 510*T1^10*T2^6 + 580*T1^11*T2^6 + 
      17*T1^12*T2^6 - 108*T1*T2^7 - 873*T1^2*T2^7 + 3605*T1^3*T2^7 + 
      3956*T1^4*T2^7 - 11604*T1^5*T2^7 + 7738*T1^6*T2^7 + 7738*T1^7*T2^7 - 
      11604*T1^8*T2^7 + 3956*T1^9*T2^7 + 3605*T1^10*T2^7 - 873*T1^11*T2^7 - 
      108*T1^12*T2^7 + 244*T1^2*T2^8 + 457*T1^3*T2^8 - 5516*T1^4*T2^8 + 
      3956*T1^5*T2^8 + 4848*T1^6*T2^8 - 11604*T1^7*T2^8 + 4848*T1^8*T2^8 + 
      3956*T1^9*T2^8 - 5516*T1^10*T2^8 + 457*T1^11*T2^8 + 244*T1^12*T2^8 - 
      315*T1^3*T2^9 + 457*T1^4*T2^9 + 3605*T1^5*T2^9 - 6818*T1^6*T2^9 + 
      3956*T1^7*T2^9 + 3956*T1^8*T2^9 - 6818*T1^9*T2^9 + 3605*T1^10*T2^9 + 
      457*T1^11*T2^9 - 315*T1^12*T2^9 + 244*T1^4*T2^10 - 873*T1^5*T2^10 - 
      510*T1^6*T2^10 + 3605*T1^7*T2^10 - 5516*T1^8*T2^10 + 3605*T1^9*T2^10 - 
      510*T1^10*T2^10 - 873*T1^11*T2^10 + 244*T1^12*T2^10 - 108*T1^5*T2^11 + 
      580*T1^6*T2^11 - 873*T1^7*T2^11 + 457*T1^8*T2^11 + 457*T1^9*T2^11 - 
      873*T1^10*T2^11 + 580*T1^11*T2^11 - 108*T1^12*T2^11 + 17*T1^6*T2^12 - 
      108*T1^7*T2^12 + 244*T1^8*T2^12 - 315*T1^9*T2^12 + 244*T1^10*T2^12 - 
      108*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 446] -> 
  {-((1 - 2*T - 3*T^2 + 7*T^3 - 3*T^4 - 2*T^5 + T^6)/T^3), 
   -((2 - 4*T1 - 6*T1^2 + 14*T1^3 - 6*T1^4 - 4*T1^5 + 2*T1^6 - 4*T2 + 
      2*T1*T2 + 28*T1^2*T2 - 21*T1^3*T2 - 21*T1^4*T2 + 28*T1^5*T2 + 
      2*T1^6*T2 - 4*T1^7*T2 - 6*T2^2 + 28*T1*T2^2 - 30*T1^2*T2^2 - 
      57*T1^3*T2^2 + 118*T1^4*T2^2 - 57*T1^5*T2^2 - 30*T1^6*T2^2 + 
      28*T1^7*T2^2 - 6*T1^8*T2^2 + 14*T2^3 - 21*T1*T2^3 - 57*T1^2*T2^3 + 
      140*T1^3*T2^3 - 79*T1^4*T2^3 - 79*T1^5*T2^3 + 140*T1^6*T2^3 - 
      57*T1^7*T2^3 - 21*T1^8*T2^3 + 14*T1^9*T2^3 - 6*T2^4 - 21*T1*T2^4 + 
      118*T1^2*T2^4 - 79*T1^3*T2^4 - 193*T1^4*T2^4 + 367*T1^5*T2^4 - 
      193*T1^6*T2^4 - 79*T1^7*T2^4 + 118*T1^8*T2^4 - 21*T1^9*T2^4 - 
      6*T1^10*T2^4 - 4*T2^5 + 28*T1*T2^5 - 57*T1^2*T2^5 - 79*T1^3*T2^5 + 
      367*T1^4*T2^5 - 236*T1^5*T2^5 - 236*T1^6*T2^5 + 367*T1^7*T2^5 - 
      79*T1^8*T2^5 - 57*T1^9*T2^5 + 28*T1^10*T2^5 - 4*T1^11*T2^5 + 2*T2^6 + 
      2*T1*T2^6 - 30*T1^2*T2^6 + 140*T1^3*T2^6 - 193*T1^4*T2^6 - 
      236*T1^5*T2^6 + 564*T1^6*T2^6 - 236*T1^7*T2^6 - 193*T1^8*T2^6 + 
      140*T1^9*T2^6 - 30*T1^10*T2^6 + 2*T1^11*T2^6 + 2*T1^12*T2^6 - 
      4*T1*T2^7 + 28*T1^2*T2^7 - 57*T1^3*T2^7 - 79*T1^4*T2^7 + 
      367*T1^5*T2^7 - 236*T1^6*T2^7 - 236*T1^7*T2^7 + 367*T1^8*T2^7 - 
      79*T1^9*T2^7 - 57*T1^10*T2^7 + 28*T1^11*T2^7 - 4*T1^12*T2^7 - 
      6*T1^2*T2^8 - 21*T1^3*T2^8 + 118*T1^4*T2^8 - 79*T1^5*T2^8 - 
      193*T1^6*T2^8 + 367*T1^7*T2^8 - 193*T1^8*T2^8 - 79*T1^9*T2^8 + 
      118*T1^10*T2^8 - 21*T1^11*T2^8 - 6*T1^12*T2^8 + 14*T1^3*T2^9 - 
      21*T1^4*T2^9 - 57*T1^5*T2^9 + 140*T1^6*T2^9 - 79*T1^7*T2^9 - 
      79*T1^8*T2^9 + 140*T1^9*T2^9 - 57*T1^10*T2^9 - 21*T1^11*T2^9 + 
      14*T1^12*T2^9 - 6*T1^4*T2^10 + 28*T1^5*T2^10 - 30*T1^6*T2^10 - 
      57*T1^7*T2^10 + 118*T1^8*T2^10 - 57*T1^9*T2^10 - 30*T1^10*T2^10 + 
      28*T1^11*T2^10 - 6*T1^12*T2^10 - 4*T1^5*T2^11 + 2*T1^6*T2^11 + 
      28*T1^7*T2^11 - 21*T1^8*T2^11 - 21*T1^9*T2^11 + 28*T1^10*T2^11 + 
      2*T1^11*T2^11 - 4*T1^12*T2^11 + 2*T1^6*T2^12 - 4*T1^7*T2^12 - 
      6*T1^8*T2^12 + 14*T1^9*T2^12 - 6*T1^10*T2^12 - 4*T1^11*T2^12 + 
      2*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 447] -> 
  {-((2 - 8*T + 16*T^2 - 21*T^3 + 16*T^4 - 8*T^5 + 2*T^6)/T^3), 
   (1 - 5*T1 + 11*T1^2 - 15*T1^3 + 11*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     18*T1*T2 - 26*T1^2*T2 + 18*T1^3*T2 + 18*T1^4*T2 - 26*T1^5*T2 + 
     18*T1^6*T2 - 5*T1^7*T2 + 11*T2^2 - 26*T1*T2^2 + 14*T1^2*T2^2 + 
     22*T1^3*T2^2 - 86*T1^4*T2^2 + 22*T1^5*T2^2 + 14*T1^6*T2^2 - 
     26*T1^7*T2^2 + 11*T1^8*T2^2 - 15*T2^3 + 18*T1*T2^3 + 22*T1^2*T2^3 - 
     64*T1^3*T2^3 + 98*T1^4*T2^3 + 98*T1^5*T2^3 - 64*T1^6*T2^3 + 
     22*T1^7*T2^3 + 18*T1^8*T2^3 - 15*T1^9*T2^3 + 11*T2^4 + 18*T1*T2^4 - 
     86*T1^2*T2^4 + 98*T1^3*T2^4 - 46*T1^4*T2^4 - 210*T1^5*T2^4 - 
     46*T1^6*T2^4 + 98*T1^7*T2^4 - 86*T1^8*T2^4 + 18*T1^9*T2^4 + 
     11*T1^10*T2^4 - 5*T2^5 - 26*T1*T2^5 + 22*T1^2*T2^5 + 98*T1^3*T2^5 - 
     210*T1^4*T2^5 + 276*T1^5*T2^5 + 276*T1^6*T2^5 - 210*T1^7*T2^5 + 
     98*T1^8*T2^5 + 22*T1^9*T2^5 - 26*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     18*T1*T2^6 + 14*T1^2*T2^6 - 64*T1^3*T2^6 - 46*T1^4*T2^6 + 
     276*T1^5*T2^6 - 744*T1^6*T2^6 + 276*T1^7*T2^6 - 46*T1^8*T2^6 - 
     64*T1^9*T2^6 + 14*T1^10*T2^6 + 18*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     26*T1^2*T2^7 + 22*T1^3*T2^7 + 98*T1^4*T2^7 - 210*T1^5*T2^7 + 
     276*T1^6*T2^7 + 276*T1^7*T2^7 - 210*T1^8*T2^7 + 98*T1^9*T2^7 + 
     22*T1^10*T2^7 - 26*T1^11*T2^7 - 5*T1^12*T2^7 + 11*T1^2*T2^8 + 
     18*T1^3*T2^8 - 86*T1^4*T2^8 + 98*T1^5*T2^8 - 46*T1^6*T2^8 - 
     210*T1^7*T2^8 - 46*T1^8*T2^8 + 98*T1^9*T2^8 - 86*T1^10*T2^8 + 
     18*T1^11*T2^8 + 11*T1^12*T2^8 - 15*T1^3*T2^9 + 18*T1^4*T2^9 + 
     22*T1^5*T2^9 - 64*T1^6*T2^9 + 98*T1^7*T2^9 + 98*T1^8*T2^9 - 
     64*T1^9*T2^9 + 22*T1^10*T2^9 + 18*T1^11*T2^9 - 15*T1^12*T2^9 + 
     11*T1^4*T2^10 - 26*T1^5*T2^10 + 14*T1^6*T2^10 + 22*T1^7*T2^10 - 
     86*T1^8*T2^10 + 22*T1^9*T2^10 + 14*T1^10*T2^10 - 26*T1^11*T2^10 + 
     11*T1^12*T2^10 - 5*T1^5*T2^11 + 18*T1^6*T2^11 - 26*T1^7*T2^11 + 
     18*T1^8*T2^11 + 18*T1^9*T2^11 - 26*T1^10*T2^11 + 18*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 11*T1^8*T2^12 - 
     15*T1^9*T2^12 + 11*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   (1 - 6*T1 + 12*T1^2 - 13*T1^3 + 12*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     20*T1*T2 - 12*T1^2*T2 - 4*T1^3*T2 - 4*T1^4*T2 - 12*T1^5*T2 + 
     20*T1^6*T2 - 6*T1^7*T2 + 12*T2^2 - 12*T1*T2^2 - 28*T1^2*T2^2 - 
     39*T1^3*T2^2 + 122*T1^4*T2^2 - 39*T1^5*T2^2 - 28*T1^6*T2^2 - 
     12*T1^7*T2^2 + 12*T1^8*T2^2 - 13*T2^3 - 4*T1*T2^3 - 39*T1^2*T2^3 + 
     296*T1^3*T2^3 - 185*T1^4*T2^3 - 185*T1^5*T2^3 + 296*T1^6*T2^3 - 
     39*T1^7*T2^3 - 4*T1^8*T2^3 - 13*T1^9*T2^3 + 12*T2^4 - 4*T1*T2^4 + 
     122*T1^2*T2^4 - 185*T1^3*T2^4 - 522*T1^4*T2^4 + 834*T1^5*T2^4 - 
     522*T1^6*T2^4 - 185*T1^7*T2^4 + 122*T1^8*T2^4 - 4*T1^9*T2^4 + 
     12*T1^10*T2^4 - 6*T2^5 - 12*T1*T2^5 - 39*T1^2*T2^5 - 185*T1^3*T2^5 + 
     834*T1^4*T2^5 - 318*T1^5*T2^5 - 318*T1^6*T2^5 + 834*T1^7*T2^5 - 
     185*T1^8*T2^5 - 39*T1^9*T2^5 - 12*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 - 28*T1^2*T2^6 + 296*T1^3*T2^6 - 522*T1^4*T2^6 - 
     318*T1^5*T2^6 + 456*T1^6*T2^6 - 318*T1^7*T2^6 - 522*T1^8*T2^6 + 
     296*T1^9*T2^6 - 28*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
     12*T1^2*T2^7 - 39*T1^3*T2^7 - 185*T1^4*T2^7 + 834*T1^5*T2^7 - 
     318*T1^6*T2^7 - 318*T1^7*T2^7 + 834*T1^8*T2^7 - 185*T1^9*T2^7 - 
     39*T1^10*T2^7 - 12*T1^11*T2^7 - 6*T1^12*T2^7 + 12*T1^2*T2^8 - 
     4*T1^3*T2^8 + 122*T1^4*T2^8 - 185*T1^5*T2^8 - 522*T1^6*T2^8 + 
     834*T1^7*T2^8 - 522*T1^8*T2^8 - 185*T1^9*T2^8 + 122*T1^10*T2^8 - 
     4*T1^11*T2^8 + 12*T1^12*T2^8 - 13*T1^3*T2^9 - 4*T1^4*T2^9 - 
     39*T1^5*T2^9 + 296*T1^6*T2^9 - 185*T1^7*T2^9 - 185*T1^8*T2^9 + 
     296*T1^9*T2^9 - 39*T1^10*T2^9 - 4*T1^11*T2^9 - 13*T1^12*T2^9 + 
     12*T1^4*T2^10 - 12*T1^5*T2^10 - 28*T1^6*T2^10 - 39*T1^7*T2^10 + 
     122*T1^8*T2^10 - 39*T1^9*T2^10 - 28*T1^10*T2^10 - 12*T1^11*T2^10 + 
     12*T1^12*T2^10 - 6*T1^5*T2^11 + 20*T1^6*T2^11 - 12*T1^7*T2^11 - 
     4*T1^8*T2^11 - 4*T1^9*T2^11 - 12*T1^10*T2^11 + 20*T1^11*T2^11 - 
     6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 12*T1^8*T2^12 - 
     13*T1^9*T2^12 + 12*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 449] -> 
  {(1 - 4*T + 8*T^2 - 9*T^3 + 8*T^4 - 4*T^5 + T^6)/T^3, 
   (1 - 4*T1 + 8*T1^2 - 9*T1^3 + 8*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 12*T1*T2 - 
     16*T1^2*T2 + 4*T1^3*T2 + 4*T1^4*T2 - 16*T1^5*T2 + 12*T1^6*T2 - 
     4*T1^7*T2 + 8*T2^2 - 16*T1*T2^2 + 4*T1^2*T2^2 + 36*T1^3*T2^2 - 
     40*T1^4*T2^2 + 36*T1^5*T2^2 + 4*T1^6*T2^2 - 16*T1^7*T2^2 + 8*T1^8*T2^2 - 
     9*T2^3 + 4*T1*T2^3 + 36*T1^2*T2^3 - 84*T1^3*T2^3 + 38*T1^4*T2^3 + 
     38*T1^5*T2^3 - 84*T1^6*T2^3 + 36*T1^7*T2^3 + 4*T1^8*T2^3 - 9*T1^9*T2^3 + 
     8*T2^4 + 4*T1*T2^4 - 40*T1^2*T2^4 + 38*T1^3*T2^4 + 90*T1^4*T2^4 - 
     214*T1^5*T2^4 + 90*T1^6*T2^4 + 38*T1^7*T2^4 - 40*T1^8*T2^4 + 
     4*T1^9*T2^4 + 8*T1^10*T2^4 - 4*T2^5 - 16*T1*T2^5 + 36*T1^2*T2^5 + 
     38*T1^3*T2^5 - 214*T1^4*T2^5 + 214*T1^5*T2^5 + 214*T1^6*T2^5 - 
     214*T1^7*T2^5 + 38*T1^8*T2^5 + 36*T1^9*T2^5 - 16*T1^10*T2^5 - 
     4*T1^11*T2^5 + T2^6 + 12*T1*T2^6 + 4*T1^2*T2^6 - 84*T1^3*T2^6 + 
     90*T1^4*T2^6 + 214*T1^5*T2^6 - 636*T1^6*T2^6 + 214*T1^7*T2^6 + 
     90*T1^8*T2^6 - 84*T1^9*T2^6 + 4*T1^10*T2^6 + 12*T1^11*T2^6 + 
     T1^12*T2^6 - 4*T1*T2^7 - 16*T1^2*T2^7 + 36*T1^3*T2^7 + 38*T1^4*T2^7 - 
     214*T1^5*T2^7 + 214*T1^6*T2^7 + 214*T1^7*T2^7 - 214*T1^8*T2^7 + 
     38*T1^9*T2^7 + 36*T1^10*T2^7 - 16*T1^11*T2^7 - 4*T1^12*T2^7 + 
     8*T1^2*T2^8 + 4*T1^3*T2^8 - 40*T1^4*T2^8 + 38*T1^5*T2^8 + 90*T1^6*T2^8 - 
     214*T1^7*T2^8 + 90*T1^8*T2^8 + 38*T1^9*T2^8 - 40*T1^10*T2^8 + 
     4*T1^11*T2^8 + 8*T1^12*T2^8 - 9*T1^3*T2^9 + 4*T1^4*T2^9 + 36*T1^5*T2^9 - 
     84*T1^6*T2^9 + 38*T1^7*T2^9 + 38*T1^8*T2^9 - 84*T1^9*T2^9 + 
     36*T1^10*T2^9 + 4*T1^11*T2^9 - 9*T1^12*T2^9 + 8*T1^4*T2^10 - 
     16*T1^5*T2^10 + 4*T1^6*T2^10 + 36*T1^7*T2^10 - 40*T1^8*T2^10 + 
     36*T1^9*T2^10 + 4*T1^10*T2^10 - 16*T1^11*T2^10 + 8*T1^12*T2^10 - 
     4*T1^5*T2^11 + 12*T1^6*T2^11 - 16*T1^7*T2^11 + 4*T1^8*T2^11 + 
     4*T1^9*T2^11 - 16*T1^10*T2^11 + 12*T1^11*T2^11 - 4*T1^12*T2^11 + 
     T1^6*T2^12 - 4*T1^7*T2^12 + 8*T1^8*T2^12 - 9*T1^9*T2^12 + 
     8*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 450] -> 
  {((1 - 3*T + T^2)*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^3, 
   (1 - 8*T1 + 23*T1^2 - 31*T1^3 + 23*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
     58*T1*T2 - 126*T1^2*T2 + 66*T1^3*T2 + 66*T1^4*T2 - 126*T1^5*T2 + 
     58*T1^6*T2 - 8*T1^7*T2 + 23*T2^2 - 126*T1*T2^2 + 37*T1^2*T2^2 + 
     648*T1^3*T2^2 - 1015*T1^4*T2^2 + 648*T1^5*T2^2 + 37*T1^6*T2^2 - 
     126*T1^7*T2^2 + 23*T1^8*T2^2 - 31*T2^3 + 66*T1*T2^3 + 648*T1^2*T2^3 - 
     2068*T1^3*T2^3 + 1089*T1^4*T2^3 + 1089*T1^5*T2^3 - 2068*T1^6*T2^3 + 
     648*T1^7*T2^3 + 66*T1^8*T2^3 - 31*T1^9*T2^3 + 23*T2^4 + 66*T1*T2^4 - 
     1015*T1^2*T2^4 + 1089*T1^3*T2^4 + 3593*T1^4*T2^4 - 6053*T1^5*T2^4 + 
     3593*T1^6*T2^4 + 1089*T1^7*T2^4 - 1015*T1^8*T2^4 + 66*T1^9*T2^4 + 
     23*T1^10*T2^4 - 8*T2^5 - 126*T1*T2^5 + 648*T1^2*T2^5 + 1089*T1^3*T2^5 - 
     6053*T1^4*T2^5 + 3236*T1^5*T2^5 + 3236*T1^6*T2^5 - 6053*T1^7*T2^5 + 
     1089*T1^8*T2^5 + 648*T1^9*T2^5 - 126*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
     58*T1*T2^6 + 37*T1^2*T2^6 - 2068*T1^3*T2^6 + 3593*T1^4*T2^6 + 
     3236*T1^5*T2^6 - 6852*T1^6*T2^6 + 3236*T1^7*T2^6 + 3593*T1^8*T2^6 - 
     2068*T1^9*T2^6 + 37*T1^10*T2^6 + 58*T1^11*T2^6 + T1^12*T2^6 - 
     8*T1*T2^7 - 126*T1^2*T2^7 + 648*T1^3*T2^7 + 1089*T1^4*T2^7 - 
     6053*T1^5*T2^7 + 3236*T1^6*T2^7 + 3236*T1^7*T2^7 - 6053*T1^8*T2^7 + 
     1089*T1^9*T2^7 + 648*T1^10*T2^7 - 126*T1^11*T2^7 - 8*T1^12*T2^7 + 
     23*T1^2*T2^8 + 66*T1^3*T2^8 - 1015*T1^4*T2^8 + 1089*T1^5*T2^8 + 
     3593*T1^6*T2^8 - 6053*T1^7*T2^8 + 3593*T1^8*T2^8 + 1089*T1^9*T2^8 - 
     1015*T1^10*T2^8 + 66*T1^11*T2^8 + 23*T1^12*T2^8 - 31*T1^3*T2^9 + 
     66*T1^4*T2^9 + 648*T1^5*T2^9 - 2068*T1^6*T2^9 + 1089*T1^7*T2^9 + 
     1089*T1^8*T2^9 - 2068*T1^9*T2^9 + 648*T1^10*T2^9 + 66*T1^11*T2^9 - 
     31*T1^12*T2^9 + 23*T1^4*T2^10 - 126*T1^5*T2^10 + 37*T1^6*T2^10 + 
     648*T1^7*T2^10 - 1015*T1^8*T2^10 + 648*T1^9*T2^10 + 37*T1^10*T2^10 - 
     126*T1^11*T2^10 + 23*T1^12*T2^10 - 8*T1^5*T2^11 + 58*T1^6*T2^11 - 
     126*T1^7*T2^11 + 66*T1^8*T2^11 + 66*T1^9*T2^11 - 126*T1^10*T2^11 + 
     58*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
     23*T1^8*T2^12 - 31*T1^9*T2^12 + 23*T1^10*T2^12 - 8*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 451] -> 
  {(1 - 3*T + 8*T^2 - 11*T^3 + 8*T^4 - 3*T^5 + T^6)/T^3, 
   -((1 - 3*T1 + 8*T1^2 - 11*T1^3 + 8*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 - 
      15*T1^2*T2 + 9*T1^3*T2 + 9*T1^4*T2 - 15*T1^5*T2 + 6*T1^6*T2 - 
      3*T1^7*T2 + 8*T2^2 - 15*T1*T2^2 + 54*T1^2*T2^2 - 58*T1^3*T2^2 + 
      52*T1^4*T2^2 - 58*T1^5*T2^2 + 54*T1^6*T2^2 - 15*T1^7*T2^2 + 
      8*T1^8*T2^2 - 11*T2^3 + 9*T1*T2^3 - 58*T1^2*T2^3 + 4*T1^3*T2^3 + 
      10*T1^4*T2^3 + 10*T1^5*T2^3 + 4*T1^6*T2^3 - 58*T1^7*T2^3 + 
      9*T1^8*T2^3 - 11*T1^9*T2^3 + 8*T2^4 + 9*T1*T2^4 + 52*T1^2*T2^4 + 
      10*T1^3*T2^4 + 149*T1^4*T2^4 - 255*T1^5*T2^4 + 149*T1^6*T2^4 + 
      10*T1^7*T2^4 + 52*T1^8*T2^4 + 9*T1^9*T2^4 + 8*T1^10*T2^4 - 3*T2^5 - 
      15*T1*T2^5 - 58*T1^2*T2^5 + 10*T1^3*T2^5 - 255*T1^4*T2^5 + 
      160*T1^5*T2^5 + 160*T1^6*T2^5 - 255*T1^7*T2^5 + 10*T1^8*T2^5 - 
      58*T1^9*T2^5 - 15*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 6*T1*T2^6 + 
      54*T1^2*T2^6 + 4*T1^3*T2^6 + 149*T1^4*T2^6 + 160*T1^5*T2^6 - 
      372*T1^6*T2^6 + 160*T1^7*T2^6 + 149*T1^8*T2^6 + 4*T1^9*T2^6 + 
      54*T1^10*T2^6 + 6*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 - 15*T1^2*T2^7 - 
      58*T1^3*T2^7 + 10*T1^4*T2^7 - 255*T1^5*T2^7 + 160*T1^6*T2^7 + 
      160*T1^7*T2^7 - 255*T1^8*T2^7 + 10*T1^9*T2^7 - 58*T1^10*T2^7 - 
      15*T1^11*T2^7 - 3*T1^12*T2^7 + 8*T1^2*T2^8 + 9*T1^3*T2^8 + 
      52*T1^4*T2^8 + 10*T1^5*T2^8 + 149*T1^6*T2^8 - 255*T1^7*T2^8 + 
      149*T1^8*T2^8 + 10*T1^9*T2^8 + 52*T1^10*T2^8 + 9*T1^11*T2^8 + 
      8*T1^12*T2^8 - 11*T1^3*T2^9 + 9*T1^4*T2^9 - 58*T1^5*T2^9 + 
      4*T1^6*T2^9 + 10*T1^7*T2^9 + 10*T1^8*T2^9 + 4*T1^9*T2^9 - 
      58*T1^10*T2^9 + 9*T1^11*T2^9 - 11*T1^12*T2^9 + 8*T1^4*T2^10 - 
      15*T1^5*T2^10 + 54*T1^6*T2^10 - 58*T1^7*T2^10 + 52*T1^8*T2^10 - 
      58*T1^9*T2^10 + 54*T1^10*T2^10 - 15*T1^11*T2^10 + 8*T1^12*T2^10 - 
      3*T1^5*T2^11 + 6*T1^6*T2^11 - 15*T1^7*T2^11 + 9*T1^8*T2^11 + 
      9*T1^9*T2^11 - 15*T1^10*T2^11 + 6*T1^11*T2^11 - 3*T1^12*T2^11 + 
      T1^6*T2^12 - 3*T1^7*T2^12 + 8*T1^8*T2^12 - 11*T1^9*T2^12 + 
      8*T1^10*T2^12 - 3*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 452] -> 
  {-((4 - 14*T + 19*T^2 - 14*T^3 + 4*T^4)/T^2), 
   -((68 - 230*T1 + 306*T1^2 - 230*T1^3 + 68*T1^4 - 230*T2 + 546*T1*T2 - 
      254*T1^2*T2 - 254*T1^3*T2 + 546*T1^4*T2 - 230*T1^5*T2 + 306*T2^2 - 
      254*T1*T2^2 - 967*T1^2*T2^2 + 1463*T1^3*T2^2 - 967*T1^4*T2^2 - 
      254*T1^5*T2^2 + 306*T1^6*T2^2 - 230*T2^3 - 254*T1*T2^3 + 
      1463*T1^2*T2^3 - 656*T1^3*T2^3 - 656*T1^4*T2^3 + 1463*T1^5*T2^3 - 
      254*T1^6*T2^3 - 230*T1^7*T2^3 + 68*T2^4 + 546*T1*T2^4 - 967*T1^2*T2^4 - 
      656*T1^3*T2^4 + 1248*T1^4*T2^4 - 656*T1^5*T2^4 - 967*T1^6*T2^4 + 
      546*T1^7*T2^4 + 68*T1^8*T2^4 - 230*T1*T2^5 - 254*T1^2*T2^5 + 
      1463*T1^3*T2^5 - 656*T1^4*T2^5 - 656*T1^5*T2^5 + 1463*T1^6*T2^5 - 
      254*T1^7*T2^5 - 230*T1^8*T2^5 + 306*T1^2*T2^6 - 254*T1^3*T2^6 - 
      967*T1^4*T2^6 + 1463*T1^5*T2^6 - 967*T1^6*T2^6 - 254*T1^7*T2^6 + 
      306*T1^8*T2^6 - 230*T1^3*T2^7 + 546*T1^4*T2^7 - 254*T1^5*T2^7 - 
      254*T1^6*T2^7 + 546*T1^7*T2^7 - 230*T1^8*T2^7 + 68*T1^4*T2^8 - 
      230*T1^5*T2^8 + 306*T1^6*T2^8 - 230*T1^7*T2^8 + 68*T1^8*T2^8)/
     (T1^4*T2^4))}, Knot[12, NonAlternating, 453] -> 
  {(5 - 15*T + 24*T^2 - 27*T^3 + 24*T^4 - 15*T^5 + 5*T^6)/T^3, 
   (395 - 1155*T1 + 1818*T1^2 - 2029*T1^3 + 1818*T1^4 - 1155*T1^5 + 
     395*T1^6 - 1155*T2 + 2244*T1*T2 - 1973*T1^2*T2 + 635*T1^3*T2 + 
     635*T1^4*T2 - 1973*T1^5*T2 + 2244*T1^6*T2 - 1155*T1^7*T2 + 1818*T2^2 - 
     1973*T1*T2^2 + 126*T1^2*T2^2 + 1450*T1^3*T2^2 - 1384*T1^4*T2^2 + 
     1450*T1^5*T2^2 + 126*T1^6*T2^2 - 1973*T1^7*T2^2 + 1818*T1^8*T2^2 - 
     2029*T2^3 + 635*T1*T2^3 + 1450*T1^2*T2^3 - 1474*T1^3*T2^3 - 
     44*T1^4*T2^3 - 44*T1^5*T2^3 - 1474*T1^6*T2^3 + 1450*T1^7*T2^3 + 
     635*T1^8*T2^3 - 2029*T1^9*T2^3 + 1818*T2^4 + 635*T1*T2^4 - 
     1384*T1^2*T2^4 - 44*T1^3*T2^4 + 1445*T1^4*T2^4 - 407*T1^5*T2^4 + 
     1445*T1^6*T2^4 - 44*T1^7*T2^4 - 1384*T1^8*T2^4 + 635*T1^9*T2^4 + 
     1818*T1^10*T2^4 - 1155*T2^5 - 1973*T1*T2^5 + 1450*T1^2*T2^5 - 
     44*T1^3*T2^5 - 407*T1^4*T2^5 - 760*T1^5*T2^5 - 760*T1^6*T2^5 - 
     407*T1^7*T2^5 - 44*T1^8*T2^5 + 1450*T1^9*T2^5 - 1973*T1^10*T2^5 - 
     1155*T1^11*T2^5 + 395*T2^6 + 2244*T1*T2^6 + 126*T1^2*T2^6 - 
     1474*T1^3*T2^6 + 1445*T1^4*T2^6 - 760*T1^5*T2^6 + 2292*T1^6*T2^6 - 
     760*T1^7*T2^6 + 1445*T1^8*T2^6 - 1474*T1^9*T2^6 + 126*T1^10*T2^6 + 
     2244*T1^11*T2^6 + 395*T1^12*T2^6 - 1155*T1*T2^7 - 1973*T1^2*T2^7 + 
     1450*T1^3*T2^7 - 44*T1^4*T2^7 - 407*T1^5*T2^7 - 760*T1^6*T2^7 - 
     760*T1^7*T2^7 - 407*T1^8*T2^7 - 44*T1^9*T2^7 + 1450*T1^10*T2^7 - 
     1973*T1^11*T2^7 - 1155*T1^12*T2^7 + 1818*T1^2*T2^8 + 635*T1^3*T2^8 - 
     1384*T1^4*T2^8 - 44*T1^5*T2^8 + 1445*T1^6*T2^8 - 407*T1^7*T2^8 + 
     1445*T1^8*T2^8 - 44*T1^9*T2^8 - 1384*T1^10*T2^8 + 635*T1^11*T2^8 + 
     1818*T1^12*T2^8 - 2029*T1^3*T2^9 + 635*T1^4*T2^9 + 1450*T1^5*T2^9 - 
     1474*T1^6*T2^9 - 44*T1^7*T2^9 - 44*T1^8*T2^9 - 1474*T1^9*T2^9 + 
     1450*T1^10*T2^9 + 635*T1^11*T2^9 - 2029*T1^12*T2^9 + 1818*T1^4*T2^10 - 
     1973*T1^5*T2^10 + 126*T1^6*T2^10 + 1450*T1^7*T2^10 - 1384*T1^8*T2^10 + 
     1450*T1^9*T2^10 + 126*T1^10*T2^10 - 1973*T1^11*T2^10 + 
     1818*T1^12*T2^10 - 1155*T1^5*T2^11 + 2244*T1^6*T2^11 - 1973*T1^7*T2^11 + 
     635*T1^8*T2^11 + 635*T1^9*T2^11 - 1973*T1^10*T2^11 + 2244*T1^11*T2^11 - 
     1155*T1^12*T2^11 + 395*T1^6*T2^12 - 1155*T1^7*T2^12 + 1818*T1^8*T2^12 - 
     2029*T1^9*T2^12 + 1818*T1^10*T2^12 - 1155*T1^11*T2^12 + 395*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 454] -> 
  {(1 - 4*T + 11*T^2 - 15*T^3 + 11*T^4 - 4*T^5 + T^6)/T^3, 
   -((1 - 4*T1 + 11*T1^2 - 15*T1^3 + 11*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 
      12*T1*T2 - 31*T1^2*T2 + 18*T1^3*T2 + 18*T1^4*T2 - 31*T1^5*T2 + 
      12*T1^6*T2 - 4*T1^7*T2 + 11*T2^2 - 31*T1*T2^2 + 111*T1^2*T2^2 - 
      100*T1^3*T2^2 + 77*T1^4*T2^2 - 100*T1^5*T2^2 + 111*T1^6*T2^2 - 
      31*T1^7*T2^2 + 11*T1^8*T2^2 - 15*T2^3 + 18*T1*T2^3 - 100*T1^2*T2^3 - 
      58*T1^3*T2^3 + 56*T1^4*T2^3 + 56*T1^5*T2^3 - 58*T1^6*T2^3 - 
      100*T1^7*T2^3 + 18*T1^8*T2^3 - 15*T1^9*T2^3 + 11*T2^4 + 18*T1*T2^4 + 
      77*T1^2*T2^4 + 56*T1^3*T2^4 + 403*T1^4*T2^4 - 679*T1^5*T2^4 + 
      403*T1^6*T2^4 + 56*T1^7*T2^4 + 77*T1^8*T2^4 + 18*T1^9*T2^4 + 
      11*T1^10*T2^4 - 4*T2^5 - 31*T1*T2^5 - 100*T1^2*T2^5 + 56*T1^3*T2^5 - 
      679*T1^4*T2^5 + 392*T1^5*T2^5 + 392*T1^6*T2^5 - 679*T1^7*T2^5 + 
      56*T1^8*T2^5 - 100*T1^9*T2^5 - 31*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 
      12*T1*T2^6 + 111*T1^2*T2^6 - 58*T1^3*T2^6 + 403*T1^4*T2^6 + 
      392*T1^5*T2^6 - 864*T1^6*T2^6 + 392*T1^7*T2^6 + 403*T1^8*T2^6 - 
      58*T1^9*T2^6 + 111*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 
      4*T1*T2^7 - 31*T1^2*T2^7 - 100*T1^3*T2^7 + 56*T1^4*T2^7 - 
      679*T1^5*T2^7 + 392*T1^6*T2^7 + 392*T1^7*T2^7 - 679*T1^8*T2^7 + 
      56*T1^9*T2^7 - 100*T1^10*T2^7 - 31*T1^11*T2^7 - 4*T1^12*T2^7 + 
      11*T1^2*T2^8 + 18*T1^3*T2^8 + 77*T1^4*T2^8 + 56*T1^5*T2^8 + 
      403*T1^6*T2^8 - 679*T1^7*T2^8 + 403*T1^8*T2^8 + 56*T1^9*T2^8 + 
      77*T1^10*T2^8 + 18*T1^11*T2^8 + 11*T1^12*T2^8 - 15*T1^3*T2^9 + 
      18*T1^4*T2^9 - 100*T1^5*T2^9 - 58*T1^6*T2^9 + 56*T1^7*T2^9 + 
      56*T1^8*T2^9 - 58*T1^9*T2^9 - 100*T1^10*T2^9 + 18*T1^11*T2^9 - 
      15*T1^12*T2^9 + 11*T1^4*T2^10 - 31*T1^5*T2^10 + 111*T1^6*T2^10 - 
      100*T1^7*T2^10 + 77*T1^8*T2^10 - 100*T1^9*T2^10 + 111*T1^10*T2^10 - 
      31*T1^11*T2^10 + 11*T1^12*T2^10 - 4*T1^5*T2^11 + 12*T1^6*T2^11 - 
      31*T1^7*T2^11 + 18*T1^8*T2^11 + 18*T1^9*T2^11 - 31*T1^10*T2^11 + 
      12*T1^11*T2^11 - 4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 
      11*T1^8*T2^12 - 15*T1^9*T2^12 + 11*T1^10*T2^12 - 4*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 455] -> 
  {-((3 - 12*T + 21*T^2 - 25*T^3 + 21*T^4 - 12*T^5 + 3*T^6)/T^3), 
   -((57 - 222*T1 + 379*T1^2 - 447*T1^3 + 379*T1^4 - 222*T1^5 + 57*T1^6 - 
      222*T2 + 646*T1*T2 - 621*T1^2*T2 + 270*T1^3*T2 + 270*T1^4*T2 - 
      621*T1^5*T2 + 646*T1^6*T2 - 222*T1^7*T2 + 379*T2^2 - 621*T1*T2^2 - 
      483*T1^2*T2^2 + 1434*T1^3*T2^2 - 1933*T1^4*T2^2 + 1434*T1^5*T2^2 - 
      483*T1^6*T2^2 - 621*T1^7*T2^2 + 379*T1^8*T2^2 - 447*T2^3 + 
      270*T1*T2^3 + 1434*T1^2*T2^3 - 1390*T1^3*T2^3 + 714*T1^4*T2^3 + 
      714*T1^5*T2^3 - 1390*T1^6*T2^3 + 1434*T1^7*T2^3 + 270*T1^8*T2^3 - 
      447*T1^9*T2^3 + 379*T2^4 + 270*T1*T2^4 - 1933*T1^2*T2^4 + 
      714*T1^3*T2^4 - 127*T1^4*T2^4 - 545*T1^5*T2^4 - 127*T1^6*T2^4 + 
      714*T1^7*T2^4 - 1933*T1^8*T2^4 + 270*T1^9*T2^4 + 379*T1^10*T2^4 - 
      222*T2^5 - 621*T1*T2^5 + 1434*T1^2*T2^5 + 714*T1^3*T2^5 - 
      545*T1^4*T2^5 + 526*T1^5*T2^5 + 526*T1^6*T2^5 - 545*T1^7*T2^5 + 
      714*T1^8*T2^5 + 1434*T1^9*T2^5 - 621*T1^10*T2^5 - 222*T1^11*T2^5 + 
      57*T2^6 + 646*T1*T2^6 - 483*T1^2*T2^6 - 1390*T1^3*T2^6 - 
      127*T1^4*T2^6 + 526*T1^5*T2^6 - 1272*T1^6*T2^6 + 526*T1^7*T2^6 - 
      127*T1^8*T2^6 - 1390*T1^9*T2^6 - 483*T1^10*T2^6 + 646*T1^11*T2^6 + 
      57*T1^12*T2^6 - 222*T1*T2^7 - 621*T1^2*T2^7 + 1434*T1^3*T2^7 + 
      714*T1^4*T2^7 - 545*T1^5*T2^7 + 526*T1^6*T2^7 + 526*T1^7*T2^7 - 
      545*T1^8*T2^7 + 714*T1^9*T2^7 + 1434*T1^10*T2^7 - 621*T1^11*T2^7 - 
      222*T1^12*T2^7 + 379*T1^2*T2^8 + 270*T1^3*T2^8 - 1933*T1^4*T2^8 + 
      714*T1^5*T2^8 - 127*T1^6*T2^8 - 545*T1^7*T2^8 - 127*T1^8*T2^8 + 
      714*T1^9*T2^8 - 1933*T1^10*T2^8 + 270*T1^11*T2^8 + 379*T1^12*T2^8 - 
      447*T1^3*T2^9 + 270*T1^4*T2^9 + 1434*T1^5*T2^9 - 1390*T1^6*T2^9 + 
      714*T1^7*T2^9 + 714*T1^8*T2^9 - 1390*T1^9*T2^9 + 1434*T1^10*T2^9 + 
      270*T1^11*T2^9 - 447*T1^12*T2^9 + 379*T1^4*T2^10 - 621*T1^5*T2^10 - 
      483*T1^6*T2^10 + 1434*T1^7*T2^10 - 1933*T1^8*T2^10 + 1434*T1^9*T2^10 - 
      483*T1^10*T2^10 - 621*T1^11*T2^10 + 379*T1^12*T2^10 - 222*T1^5*T2^11 + 
      646*T1^6*T2^11 - 621*T1^7*T2^11 + 270*T1^8*T2^11 + 270*T1^9*T2^11 - 
      621*T1^10*T2^11 + 646*T1^11*T2^11 - 222*T1^12*T2^11 + 57*T1^6*T2^12 - 
      222*T1^7*T2^12 + 379*T1^8*T2^12 - 447*T1^9*T2^12 + 379*T1^10*T2^12 - 
      222*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 456] -> {(1 - 5*T^2 + 9*T^3 - 5*T^4 + T^6)/T^3, 
   -((1 - 5*T1^2 + 9*T1^3 - 5*T1^4 + 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 - 5*T2^2 + 
      15*T1*T2^2 - T1^2*T2^2 - 24*T1^3*T2^2 + 43*T1^4*T2^2 - 24*T1^5*T2^2 - 
      T1^6*T2^2 + 15*T1^7*T2^2 - 5*T1^8*T2^2 + 9*T2^3 - 10*T1*T2^3 - 
      24*T1^2*T2^3 + 38*T1^3*T2^3 - 22*T1^4*T2^3 - 22*T1^5*T2^3 + 
      38*T1^6*T2^3 - 24*T1^7*T2^3 - 10*T1^8*T2^3 + 9*T1^9*T2^3 - 5*T2^4 - 
      10*T1*T2^4 + 43*T1^2*T2^4 - 22*T1^3*T2^4 - 13*T1^4*T2^4 + 
      41*T1^5*T2^4 - 13*T1^6*T2^4 - 22*T1^7*T2^4 + 43*T1^8*T2^4 - 
      10*T1^9*T2^4 - 5*T1^10*T2^4 + 15*T1*T2^5 - 24*T1^2*T2^5 - 
      22*T1^3*T2^5 + 41*T1^4*T2^5 - 32*T1^5*T2^5 - 32*T1^6*T2^5 + 
      41*T1^7*T2^5 - 22*T1^8*T2^5 - 24*T1^9*T2^5 + 15*T1^10*T2^5 + T2^6 - 
      8*T1*T2^6 - T1^2*T2^6 + 38*T1^3*T2^6 - 13*T1^4*T2^6 - 32*T1^5*T2^6 + 
      84*T1^6*T2^6 - 32*T1^7*T2^6 - 13*T1^8*T2^6 + 38*T1^9*T2^6 - 
      T1^10*T2^6 - 8*T1^11*T2^6 + T1^12*T2^6 + 15*T1^2*T2^7 - 24*T1^3*T2^7 - 
      22*T1^4*T2^7 + 41*T1^5*T2^7 - 32*T1^6*T2^7 - 32*T1^7*T2^7 + 
      41*T1^8*T2^7 - 22*T1^9*T2^7 - 24*T1^10*T2^7 + 15*T1^11*T2^7 - 
      5*T1^2*T2^8 - 10*T1^3*T2^8 + 43*T1^4*T2^8 - 22*T1^5*T2^8 - 
      13*T1^6*T2^8 + 41*T1^7*T2^8 - 13*T1^8*T2^8 - 22*T1^9*T2^8 + 
      43*T1^10*T2^8 - 10*T1^11*T2^8 - 5*T1^12*T2^8 + 9*T1^3*T2^9 - 
      10*T1^4*T2^9 - 24*T1^5*T2^9 + 38*T1^6*T2^9 - 22*T1^7*T2^9 - 
      22*T1^8*T2^9 + 38*T1^9*T2^9 - 24*T1^10*T2^9 - 10*T1^11*T2^9 + 
      9*T1^12*T2^9 - 5*T1^4*T2^10 + 15*T1^5*T2^10 - T1^6*T2^10 - 
      24*T1^7*T2^10 + 43*T1^8*T2^10 - 24*T1^9*T2^10 - T1^10*T2^10 + 
      15*T1^11*T2^10 - 5*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 + 
      T1^6*T2^12 - 5*T1^8*T2^12 + 9*T1^9*T2^12 - 5*T1^10*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, 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 + 
     2*T1^2*T2^2 + 2*T1^4*T2^2 + 6*T1^5*T2^2 - 4*T1^6*T2^2 + 3*T2^3 + 
     6*T1*T2^3 - 4*T1^3*T2^3 - 4*T1^4*T2^3 + 6*T1^6*T2^3 + 3*T1^7*T2^3 - 
     14*T1*T2^4 + 2*T1^2*T2^4 - 4*T1^3*T2^4 + 12*T1^4*T2^4 - 4*T1^5*T2^4 + 
     2*T1^6*T2^4 - 14*T1^7*T2^4 + 3*T1*T2^5 + 6*T1^2*T2^5 - 4*T1^4*T2^5 - 
     4*T1^5*T2^5 + 6*T1^7*T2^5 + 3*T1^8*T2^5 - 4*T1^2*T2^6 + 6*T1^3*T2^6 + 
     2*T1^4*T2^6 + 2*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)/(T1^4*T2^4)}, 
 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, 
   -((1 - 4*T1 + 6*T1^2 - 5*T1^3 + 6*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 8*T1*T2 + 
      8*T1^2*T2 - 12*T1^3*T2 - 12*T1^4*T2 + 8*T1^5*T2 + 8*T1^6*T2 - 
      4*T1^7*T2 + 6*T2^2 + 8*T1*T2^2 - 49*T1^2*T2^2 - 65*T1^3*T2^2 + 
      159*T1^4*T2^2 - 65*T1^5*T2^2 - 49*T1^6*T2^2 + 8*T1^7*T2^2 + 
      6*T1^8*T2^2 - 5*T2^3 - 12*T1*T2^3 - 65*T1^2*T2^3 + 452*T1^3*T2^3 - 
      262*T1^4*T2^3 - 262*T1^5*T2^3 + 452*T1^6*T2^3 - 65*T1^7*T2^3 - 
      12*T1^8*T2^3 - 5*T1^9*T2^3 + 6*T2^4 - 12*T1*T2^4 + 159*T1^2*T2^4 - 
      262*T1^3*T2^4 - 957*T1^4*T2^4 + 1553*T1^5*T2^4 - 957*T1^6*T2^4 - 
      262*T1^7*T2^4 + 159*T1^8*T2^4 - 12*T1^9*T2^4 + 6*T1^10*T2^4 - 4*T2^5 + 
      8*T1*T2^5 - 65*T1^2*T2^5 - 262*T1^3*T2^5 + 1553*T1^4*T2^5 - 
      736*T1^5*T2^5 - 736*T1^6*T2^5 + 1553*T1^7*T2^5 - 262*T1^8*T2^5 - 
      65*T1^9*T2^5 + 8*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 8*T1*T2^6 - 
      49*T1^2*T2^6 + 452*T1^3*T2^6 - 957*T1^4*T2^6 - 736*T1^5*T2^6 + 
      1392*T1^6*T2^6 - 736*T1^7*T2^6 - 957*T1^8*T2^6 + 452*T1^9*T2^6 - 
      49*T1^10*T2^6 + 8*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 + 8*T1^2*T2^7 - 
      65*T1^3*T2^7 - 262*T1^4*T2^7 + 1553*T1^5*T2^7 - 736*T1^6*T2^7 - 
      736*T1^7*T2^7 + 1553*T1^8*T2^7 - 262*T1^9*T2^7 - 65*T1^10*T2^7 + 
      8*T1^11*T2^7 - 4*T1^12*T2^7 + 6*T1^2*T2^8 - 12*T1^3*T2^8 + 
      159*T1^4*T2^8 - 262*T1^5*T2^8 - 957*T1^6*T2^8 + 1553*T1^7*T2^8 - 
      957*T1^8*T2^8 - 262*T1^9*T2^8 + 159*T1^10*T2^8 - 12*T1^11*T2^8 + 
      6*T1^12*T2^8 - 5*T1^3*T2^9 - 12*T1^4*T2^9 - 65*T1^5*T2^9 + 
      452*T1^6*T2^9 - 262*T1^7*T2^9 - 262*T1^8*T2^9 + 452*T1^9*T2^9 - 
      65*T1^10*T2^9 - 12*T1^11*T2^9 - 5*T1^12*T2^9 + 6*T1^4*T2^10 + 
      8*T1^5*T2^10 - 49*T1^6*T2^10 - 65*T1^7*T2^10 + 159*T1^8*T2^10 - 
      65*T1^9*T2^10 - 49*T1^10*T2^10 + 8*T1^11*T2^10 + 6*T1^12*T2^10 - 
      4*T1^5*T2^11 + 8*T1^6*T2^11 + 8*T1^7*T2^11 - 12*T1^8*T2^11 - 
      12*T1^9*T2^11 + 8*T1^10*T2^11 + 8*T1^11*T2^11 - 4*T1^12*T2^11 + 
      T1^6*T2^12 - 4*T1^7*T2^12 + 6*T1^8*T2^12 - 5*T1^9*T2^12 + 
      6*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   (2 - 12*T1 + 30*T1^2 - 40*T1^3 + 42*T1^4 - 40*T1^5 + 30*T1^6 - 12*T1^7 + 
     2*T1^8 - 12*T2 + 60*T1*T2 - 108*T1^2*T2 + 60*T1^3*T2 - 12*T1^4*T2 - 
     12*T1^5*T2 + 60*T1^6*T2 - 108*T1^7*T2 + 60*T1^8*T2 - 12*T1^9*T2 + 
     30*T2^2 - 108*T1*T2^2 + 48*T1^2*T2^2 + 299*T1^3*T2^2 - 359*T1^4*T2^2 + 
     310*T1^5*T2^2 - 359*T1^6*T2^2 + 299*T1^7*T2^2 + 48*T1^8*T2^2 - 
     108*T1^9*T2^2 + 30*T1^10*T2^2 - 40*T2^3 + 60*T1*T2^3 + 299*T1^2*T2^3 - 
     848*T1^3*T2^3 + 295*T1^4*T2^3 + 26*T1^5*T2^3 + 26*T1^6*T2^3 + 
     295*T1^7*T2^3 - 848*T1^8*T2^3 + 299*T1^9*T2^3 + 60*T1^10*T2^3 - 
     40*T1^11*T2^3 + 42*T2^4 - 12*T1*T2^4 - 359*T1^2*T2^4 + 295*T1^3*T2^4 + 
     1370*T1^4*T2^4 - 1430*T1^5*T2^4 + 1082*T1^6*T2^4 - 1430*T1^7*T2^4 + 
     1370*T1^8*T2^4 + 295*T1^9*T2^4 - 359*T1^10*T2^4 - 12*T1^11*T2^4 + 
     42*T1^12*T2^4 - 40*T2^5 - 12*T1*T2^5 + 310*T1^2*T2^5 + 26*T1^3*T2^5 - 
     1430*T1^4*T2^5 + 242*T1^5*T2^5 + 192*T1^6*T2^5 + 192*T1^7*T2^5 + 
     242*T1^8*T2^5 - 1430*T1^9*T2^5 + 26*T1^10*T2^5 + 310*T1^11*T2^5 - 
     12*T1^12*T2^5 - 40*T1^13*T2^5 + 30*T2^6 + 60*T1*T2^6 - 359*T1^2*T2^6 + 
     26*T1^3*T2^6 + 1082*T1^4*T2^6 + 192*T1^5*T2^6 + 16*T1^6*T2^6 - 
     258*T1^7*T2^6 + 16*T1^8*T2^6 + 192*T1^9*T2^6 + 1082*T1^10*T2^6 + 
     26*T1^11*T2^6 - 359*T1^12*T2^6 + 60*T1^13*T2^6 + 30*T1^14*T2^6 - 
     12*T2^7 - 108*T1*T2^7 + 299*T1^2*T2^7 + 295*T1^3*T2^7 - 1430*T1^4*T2^7 + 
     192*T1^5*T2^7 - 258*T1^6*T2^7 - 6*T1^7*T2^7 - 6*T1^8*T2^7 - 
     258*T1^9*T2^7 + 192*T1^10*T2^7 - 1430*T1^11*T2^7 + 295*T1^12*T2^7 + 
     299*T1^13*T2^7 - 108*T1^14*T2^7 - 12*T1^15*T2^7 + 2*T2^8 + 60*T1*T2^8 + 
     48*T1^2*T2^8 - 848*T1^3*T2^8 + 1370*T1^4*T2^8 + 242*T1^5*T2^8 + 
     16*T1^6*T2^8 - 6*T1^7*T2^8 + 348*T1^8*T2^8 - 6*T1^9*T2^8 + 
     16*T1^10*T2^8 + 242*T1^11*T2^8 + 1370*T1^12*T2^8 - 848*T1^13*T2^8 + 
     48*T1^14*T2^8 + 60*T1^15*T2^8 + 2*T1^16*T2^8 - 12*T1*T2^9 - 
     108*T1^2*T2^9 + 299*T1^3*T2^9 + 295*T1^4*T2^9 - 1430*T1^5*T2^9 + 
     192*T1^6*T2^9 - 258*T1^7*T2^9 - 6*T1^8*T2^9 - 6*T1^9*T2^9 - 
     258*T1^10*T2^9 + 192*T1^11*T2^9 - 1430*T1^12*T2^9 + 295*T1^13*T2^9 + 
     299*T1^14*T2^9 - 108*T1^15*T2^9 - 12*T1^16*T2^9 + 30*T1^2*T2^10 + 
     60*T1^3*T2^10 - 359*T1^4*T2^10 + 26*T1^5*T2^10 + 1082*T1^6*T2^10 + 
     192*T1^7*T2^10 + 16*T1^8*T2^10 - 258*T1^9*T2^10 + 16*T1^10*T2^10 + 
     192*T1^11*T2^10 + 1082*T1^12*T2^10 + 26*T1^13*T2^10 - 359*T1^14*T2^10 + 
     60*T1^15*T2^10 + 30*T1^16*T2^10 - 40*T1^3*T2^11 - 12*T1^4*T2^11 + 
     310*T1^5*T2^11 + 26*T1^6*T2^11 - 1430*T1^7*T2^11 + 242*T1^8*T2^11 + 
     192*T1^9*T2^11 + 192*T1^10*T2^11 + 242*T1^11*T2^11 - 1430*T1^12*T2^11 + 
     26*T1^13*T2^11 + 310*T1^14*T2^11 - 12*T1^15*T2^11 - 40*T1^16*T2^11 + 
     42*T1^4*T2^12 - 12*T1^5*T2^12 - 359*T1^6*T2^12 + 295*T1^7*T2^12 + 
     1370*T1^8*T2^12 - 1430*T1^9*T2^12 + 1082*T1^10*T2^12 - 
     1430*T1^11*T2^12 + 1370*T1^12*T2^12 + 295*T1^13*T2^12 - 
     359*T1^14*T2^12 - 12*T1^15*T2^12 + 42*T1^16*T2^12 - 40*T1^5*T2^13 + 
     60*T1^6*T2^13 + 299*T1^7*T2^13 - 848*T1^8*T2^13 + 295*T1^9*T2^13 + 
     26*T1^10*T2^13 + 26*T1^11*T2^13 + 295*T1^12*T2^13 - 848*T1^13*T2^13 + 
     299*T1^14*T2^13 + 60*T1^15*T2^13 - 40*T1^16*T2^13 + 30*T1^6*T2^14 - 
     108*T1^7*T2^14 + 48*T1^8*T2^14 + 299*T1^9*T2^14 - 359*T1^10*T2^14 + 
     310*T1^11*T2^14 - 359*T1^12*T2^14 + 299*T1^13*T2^14 + 48*T1^14*T2^14 - 
     108*T1^15*T2^14 + 30*T1^16*T2^14 - 12*T1^7*T2^15 + 60*T1^8*T2^15 - 
     108*T1^9*T2^15 + 60*T1^10*T2^15 - 12*T1^11*T2^15 - 12*T1^12*T2^15 + 
     60*T1^13*T2^15 - 108*T1^14*T2^15 + 60*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)/(T1^8*T2^8)}, Knot[12, NonAlternating, 460] -> 
  {((1 - T + T^2)*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^3, 
   -((1 - 6*T1 + 15*T1^2 - 19*T1^3 + 15*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
      30*T1*T2 - 53*T1^2*T2 + 24*T1^3*T2 + 24*T1^4*T2 - 53*T1^5*T2 + 
      30*T1^6*T2 - 6*T1^7*T2 + 15*T2^2 - 53*T1*T2^2 + 8*T1^2*T2^2 + 
      191*T1^3*T2^2 - 280*T1^4*T2^2 + 191*T1^5*T2^2 + 8*T1^6*T2^2 - 
      53*T1^7*T2^2 + 15*T1^8*T2^2 - 19*T2^3 + 24*T1*T2^3 + 191*T1^2*T2^3 - 
      478*T1^3*T2^3 + 233*T1^4*T2^3 + 233*T1^5*T2^3 - 478*T1^6*T2^3 + 
      191*T1^7*T2^3 + 24*T1^8*T2^3 - 19*T1^9*T2^3 + 15*T2^4 + 24*T1*T2^4 - 
      280*T1^2*T2^4 + 233*T1^3*T2^4 + 579*T1^4*T2^4 - 999*T1^5*T2^4 + 
      579*T1^6*T2^4 + 233*T1^7*T2^4 - 280*T1^8*T2^4 + 24*T1^9*T2^4 + 
      15*T1^10*T2^4 - 6*T2^5 - 53*T1*T2^5 + 191*T1^2*T2^5 + 233*T1^3*T2^5 - 
      999*T1^4*T2^5 + 562*T1^5*T2^5 + 562*T1^6*T2^5 - 999*T1^7*T2^5 + 
      233*T1^8*T2^5 + 191*T1^9*T2^5 - 53*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
      30*T1*T2^6 + 8*T1^2*T2^6 - 478*T1^3*T2^6 + 579*T1^4*T2^6 + 
      562*T1^5*T2^6 - 1272*T1^6*T2^6 + 562*T1^7*T2^6 + 579*T1^8*T2^6 - 
      478*T1^9*T2^6 + 8*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
      53*T1^2*T2^7 + 191*T1^3*T2^7 + 233*T1^4*T2^7 - 999*T1^5*T2^7 + 
      562*T1^6*T2^7 + 562*T1^7*T2^7 - 999*T1^8*T2^7 + 233*T1^9*T2^7 + 
      191*T1^10*T2^7 - 53*T1^11*T2^7 - 6*T1^12*T2^7 + 15*T1^2*T2^8 + 
      24*T1^3*T2^8 - 280*T1^4*T2^8 + 233*T1^5*T2^8 + 579*T1^6*T2^8 - 
      999*T1^7*T2^8 + 579*T1^8*T2^8 + 233*T1^9*T2^8 - 280*T1^10*T2^8 + 
      24*T1^11*T2^8 + 15*T1^12*T2^8 - 19*T1^3*T2^9 + 24*T1^4*T2^9 + 
      191*T1^5*T2^9 - 478*T1^6*T2^9 + 233*T1^7*T2^9 + 233*T1^8*T2^9 - 
      478*T1^9*T2^9 + 191*T1^10*T2^9 + 24*T1^11*T2^9 - 19*T1^12*T2^9 + 
      15*T1^4*T2^10 - 53*T1^5*T2^10 + 8*T1^6*T2^10 + 191*T1^7*T2^10 - 
      280*T1^8*T2^10 + 191*T1^9*T2^10 + 8*T1^10*T2^10 - 53*T1^11*T2^10 + 
      15*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 53*T1^7*T2^11 + 
      24*T1^8*T2^11 + 24*T1^9*T2^11 - 53*T1^10*T2^11 + 30*T1^11*T2^11 - 
      6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 15*T1^8*T2^12 - 
      19*T1^9*T2^12 + 15*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, NonAlternating, 461] -> 
  {-(((1 - 3*T + T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^3), 
   (2 - 8*T1 + 8*T1^2 + 8*T1^3 - 8*T1^4 + 2*T1^5 - 8*T2 + 21*T1*T2 + 
     19*T1^2*T2 - 105*T1^3*T2 + 19*T1^4*T2 + 21*T1^5*T2 - 8*T1^6*T2 + 
     8*T2^2 + 19*T1*T2^2 - 184*T1^2*T2^2 + 254*T1^3*T2^2 + 254*T1^4*T2^2 - 
     184*T1^5*T2^2 + 19*T1^6*T2^2 + 8*T1^7*T2^2 + 8*T2^3 - 105*T1*T2^3 + 
     254*T1^2*T2^3 + 175*T1^3*T2^3 - 1209*T1^4*T2^3 + 175*T1^5*T2^3 + 
     254*T1^6*T2^3 - 105*T1^7*T2^3 + 8*T1^8*T2^3 - 8*T2^4 + 19*T1*T2^4 + 
     254*T1^2*T2^4 - 1209*T1^3*T2^4 + 1440*T1^4*T2^4 + 1440*T1^5*T2^4 - 
     1209*T1^6*T2^4 + 254*T1^7*T2^4 + 19*T1^8*T2^4 - 8*T1^9*T2^4 + 2*T2^5 + 
     21*T1*T2^5 - 184*T1^2*T2^5 + 175*T1^3*T2^5 + 1440*T1^4*T2^5 - 
     4116*T1^5*T2^5 + 1440*T1^6*T2^5 + 175*T1^7*T2^5 - 184*T1^8*T2^5 + 
     21*T1^9*T2^5 + 2*T1^10*T2^5 - 8*T1*T2^6 + 19*T1^2*T2^6 + 254*T1^3*T2^6 - 
     1209*T1^4*T2^6 + 1440*T1^5*T2^6 + 1440*T1^6*T2^6 - 1209*T1^7*T2^6 + 
     254*T1^8*T2^6 + 19*T1^9*T2^6 - 8*T1^10*T2^6 + 8*T1^2*T2^7 - 
     105*T1^3*T2^7 + 254*T1^4*T2^7 + 175*T1^5*T2^7 - 1209*T1^6*T2^7 + 
     175*T1^7*T2^7 + 254*T1^8*T2^7 - 105*T1^9*T2^7 + 8*T1^10*T2^7 + 
     8*T1^3*T2^8 + 19*T1^4*T2^8 - 184*T1^5*T2^8 + 254*T1^6*T2^8 + 
     254*T1^7*T2^8 - 184*T1^8*T2^8 + 19*T1^9*T2^8 + 8*T1^10*T2^8 - 
     8*T1^4*T2^9 + 21*T1^5*T2^9 + 19*T1^6*T2^9 - 105*T1^7*T2^9 + 
     19*T1^8*T2^9 + 21*T1^9*T2^9 - 8*T1^10*T2^9 + 2*T1^5*T2^10 - 
     8*T1^6*T2^10 + 8*T1^7*T2^10 + 8*T1^8*T2^10 - 8*T1^9*T2^10 + 
     2*T1^10*T2^10)/(T1^5*T2^5)}, Knot[12, NonAlternating, 462] -> 
  {(1 - 3*T + T^2)^2/T^2, 0}, Knot[12, NonAlternating, 463] -> 
  {-((1 - 7*T + 18*T^2 - 25*T^3 + 18*T^4 - 7*T^5 + T^6)/T^3), 
   (T1^2 + T1^3 + T1*T2 - 11*T1^2*T2 - 5*T1^3*T2 - 11*T1^4*T2 + T1^5*T2 + 
     T2^2 - 11*T1*T2^2 + 52*T1^2*T2^2 + 26*T1^3*T2^2 + 26*T1^4*T2^2 + 
     52*T1^5*T2^2 - 11*T1^6*T2^2 + T1^7*T2^2 + T2^3 - 5*T1*T2^3 + 
     26*T1^2*T2^3 - 330*T1^3*T2^3 + 200*T1^4*T2^3 - 330*T1^5*T2^3 + 
     26*T1^6*T2^3 - 5*T1^7*T2^3 + T1^8*T2^3 - 11*T1*T2^4 + 26*T1^2*T2^4 + 
     200*T1^3*T2^4 + 178*T1^4*T2^4 + 178*T1^5*T2^4 + 200*T1^6*T2^4 + 
     26*T1^7*T2^4 - 11*T1^8*T2^4 + T1*T2^5 + 52*T1^2*T2^5 - 330*T1^3*T2^5 + 
     178*T1^4*T2^5 - 768*T1^5*T2^5 + 178*T1^6*T2^5 - 330*T1^7*T2^5 + 
     52*T1^8*T2^5 + T1^9*T2^5 - 11*T1^2*T2^6 + 26*T1^3*T2^6 + 200*T1^4*T2^6 + 
     178*T1^5*T2^6 + 178*T1^6*T2^6 + 200*T1^7*T2^6 + 26*T1^8*T2^6 - 
     11*T1^9*T2^6 + T1^2*T2^7 - 5*T1^3*T2^7 + 26*T1^4*T2^7 - 330*T1^5*T2^7 + 
     200*T1^6*T2^7 - 330*T1^7*T2^7 + 26*T1^8*T2^7 - 5*T1^9*T2^7 + 
     T1^10*T2^7 + T1^3*T2^8 - 11*T1^4*T2^8 + 52*T1^5*T2^8 + 26*T1^6*T2^8 + 
     26*T1^7*T2^8 + 52*T1^8*T2^8 - 11*T1^9*T2^8 + T1^10*T2^8 + T1^5*T2^9 - 
     11*T1^6*T2^9 - 5*T1^7*T2^9 - 11*T1^8*T2^9 + T1^9*T2^9 + T1^7*T2^10 + 
     T1^8*T2^10)/(T1^5*T2^5)}, Knot[12, NonAlternating, 464] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2))/T^2), 
   -((1 - 4*T1 + 3*T1^2 - 4*T1^3 + T1^4 - 4*T2 + 14*T1*T2 + T1^2*T2 + 
      T1^3*T2 + 14*T1^4*T2 - 4*T1^5*T2 + 3*T2^2 + T1*T2^2 - 63*T1^2*T2^2 + 
      53*T1^3*T2^2 - 63*T1^4*T2^2 + T1^5*T2^2 + 3*T1^6*T2^2 - 4*T2^3 + 
      T1*T2^3 + 53*T1^2*T2^3 + 4*T1^3*T2^3 + 4*T1^4*T2^3 + 53*T1^5*T2^3 + 
      T1^6*T2^3 - 4*T1^7*T2^3 + T2^4 + 14*T1*T2^4 - 63*T1^2*T2^4 + 
      4*T1^3*T2^4 - 36*T1^4*T2^4 + 4*T1^5*T2^4 - 63*T1^6*T2^4 + 
      14*T1^7*T2^4 + T1^8*T2^4 - 4*T1*T2^5 + T1^2*T2^5 + 53*T1^3*T2^5 + 
      4*T1^4*T2^5 + 4*T1^5*T2^5 + 53*T1^6*T2^5 + T1^7*T2^5 - 4*T1^8*T2^5 + 
      3*T1^2*T2^6 + T1^3*T2^6 - 63*T1^4*T2^6 + 53*T1^5*T2^6 - 63*T1^6*T2^6 + 
      T1^7*T2^6 + 3*T1^8*T2^6 - 4*T1^3*T2^7 + 14*T1^4*T2^7 + T1^5*T2^7 + 
      T1^6*T2^7 + 14*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)/(T1^4*T2^4))}, 
 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), -((1 - 6*T1 + 13*T1^2 - 15*T1^3 + 13*T1^4 - 15*T1^5 + 13*T1^6 - 
      6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 42*T1^2*T2 + 12*T1^3*T2 + 
      12*T1^4*T2 + 12*T1^5*T2 + 12*T1^6*T2 - 42*T1^7*T2 + 30*T1^8*T2 - 
      6*T1^9*T2 + 13*T2^2 - 42*T1*T2^2 - 34*T1^2*T2^2 + 193*T1^3*T2^2 - 
      194*T1^4*T2^2 + 66*T1^5*T2^2 - 194*T1^6*T2^2 + 193*T1^7*T2^2 - 
      34*T1^8*T2^2 - 42*T1^9*T2^2 + 13*T1^10*T2^2 - 15*T2^3 + 12*T1*T2^3 + 
      193*T1^2*T2^3 - 328*T1^3*T2^3 + 35*T1^4*T2^3 + 193*T1^5*T2^3 + 
      193*T1^6*T2^3 + 35*T1^7*T2^3 - 328*T1^8*T2^3 + 193*T1^9*T2^3 + 
      12*T1^10*T2^3 - 15*T1^11*T2^3 + 13*T2^4 + 12*T1*T2^4 - 194*T1^2*T2^4 + 
      35*T1^3*T2^4 + 520*T1^4*T2^4 - 496*T1^5*T2^4 - 102*T1^6*T2^4 - 
      496*T1^7*T2^4 + 520*T1^8*T2^4 + 35*T1^9*T2^4 - 194*T1^10*T2^4 + 
      12*T1^11*T2^4 + 13*T1^12*T2^4 - 15*T2^5 + 12*T1*T2^5 + 66*T1^2*T2^5 + 
      193*T1^3*T2^5 - 496*T1^4*T2^5 + 68*T1^5*T2^5 + 354*T1^6*T2^5 + 
      354*T1^7*T2^5 + 68*T1^8*T2^5 - 496*T1^9*T2^5 + 193*T1^10*T2^5 + 
      66*T1^11*T2^5 + 12*T1^12*T2^5 - 15*T1^13*T2^5 + 13*T2^6 + 12*T1*T2^6 - 
      194*T1^2*T2^6 + 193*T1^3*T2^6 - 102*T1^4*T2^6 + 354*T1^5*T2^6 - 
      452*T1^6*T2^6 + 96*T1^7*T2^6 - 452*T1^8*T2^6 + 354*T1^9*T2^6 - 
      102*T1^10*T2^6 + 193*T1^11*T2^6 - 194*T1^12*T2^6 + 12*T1^13*T2^6 + 
      13*T1^14*T2^6 - 6*T2^7 - 42*T1*T2^7 + 193*T1^2*T2^7 + 35*T1^3*T2^7 - 
      496*T1^4*T2^7 + 354*T1^5*T2^7 + 96*T1^6*T2^7 - 80*T1^7*T2^7 - 
      80*T1^8*T2^7 + 96*T1^9*T2^7 + 354*T1^10*T2^7 - 496*T1^11*T2^7 + 
      35*T1^12*T2^7 + 193*T1^13*T2^7 - 42*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 
      30*T1*T2^8 - 34*T1^2*T2^8 - 328*T1^3*T2^8 + 520*T1^4*T2^8 + 
      68*T1^5*T2^8 - 452*T1^6*T2^8 - 80*T1^7*T2^8 + 504*T1^8*T2^8 - 
      80*T1^9*T2^8 - 452*T1^10*T2^8 + 68*T1^11*T2^8 + 520*T1^12*T2^8 - 
      328*T1^13*T2^8 - 34*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 
      6*T1*T2^9 - 42*T1^2*T2^9 + 193*T1^3*T2^9 + 35*T1^4*T2^9 - 
      496*T1^5*T2^9 + 354*T1^6*T2^9 + 96*T1^7*T2^9 - 80*T1^8*T2^9 - 
      80*T1^9*T2^9 + 96*T1^10*T2^9 + 354*T1^11*T2^9 - 496*T1^12*T2^9 + 
      35*T1^13*T2^9 + 193*T1^14*T2^9 - 42*T1^15*T2^9 - 6*T1^16*T2^9 + 
      13*T1^2*T2^10 + 12*T1^3*T2^10 - 194*T1^4*T2^10 + 193*T1^5*T2^10 - 
      102*T1^6*T2^10 + 354*T1^7*T2^10 - 452*T1^8*T2^10 + 96*T1^9*T2^10 - 
      452*T1^10*T2^10 + 354*T1^11*T2^10 - 102*T1^12*T2^10 + 193*T1^13*T2^10 - 
      194*T1^14*T2^10 + 12*T1^15*T2^10 + 13*T1^16*T2^10 - 15*T1^3*T2^11 + 
      12*T1^4*T2^11 + 66*T1^5*T2^11 + 193*T1^6*T2^11 - 496*T1^7*T2^11 + 
      68*T1^8*T2^11 + 354*T1^9*T2^11 + 354*T1^10*T2^11 + 68*T1^11*T2^11 - 
      496*T1^12*T2^11 + 193*T1^13*T2^11 + 66*T1^14*T2^11 + 12*T1^15*T2^11 - 
      15*T1^16*T2^11 + 13*T1^4*T2^12 + 12*T1^5*T2^12 - 194*T1^6*T2^12 + 
      35*T1^7*T2^12 + 520*T1^8*T2^12 - 496*T1^9*T2^12 - 102*T1^10*T2^12 - 
      496*T1^11*T2^12 + 520*T1^12*T2^12 + 35*T1^13*T2^12 - 194*T1^14*T2^12 + 
      12*T1^15*T2^12 + 13*T1^16*T2^12 - 15*T1^5*T2^13 + 12*T1^6*T2^13 + 
      193*T1^7*T2^13 - 328*T1^8*T2^13 + 35*T1^9*T2^13 + 193*T1^10*T2^13 + 
      193*T1^11*T2^13 + 35*T1^12*T2^13 - 328*T1^13*T2^13 + 193*T1^14*T2^13 + 
      12*T1^15*T2^13 - 15*T1^16*T2^13 + 13*T1^6*T2^14 - 42*T1^7*T2^14 - 
      34*T1^8*T2^14 + 193*T1^9*T2^14 - 194*T1^10*T2^14 + 66*T1^11*T2^14 - 
      194*T1^12*T2^14 + 193*T1^13*T2^14 - 34*T1^14*T2^14 - 42*T1^15*T2^14 + 
      13*T1^16*T2^14 - 6*T1^7*T2^15 + 30*T1^8*T2^15 - 42*T1^9*T2^15 + 
      12*T1^10*T2^15 + 12*T1^11*T2^15 + 12*T1^12*T2^15 + 12*T1^13*T2^15 - 
      42*T1^14*T2^15 + 30*T1^15*T2^15 - 6*T1^16*T2^15 + T1^8*T2^16 - 
      6*T1^9*T2^16 + 13*T1^10*T2^16 - 15*T1^11*T2^16 + 13*T1^12*T2^16 - 
      15*T1^13*T2^16 + 13*T1^14*T2^16 - 6*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, 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 + 12*T1*T2 - 24*T1^2*T2 + 18*T1^3*T2 - 6*T1^4*T2 - 
      6*T1^5*T2 + 18*T1^6*T2 - 24*T1^7*T2 + 12*T1^8*T2 - 6*T1^9*T2 + 
      14*T2^2 - 24*T1*T2^2 + 62*T1^2*T2^2 - 63*T1^3*T2^2 + 81*T1^4*T2^2 - 
      92*T1^5*T2^2 + 81*T1^6*T2^2 - 63*T1^7*T2^2 + 62*T1^8*T2^2 - 
      24*T1^9*T2^2 + 14*T1^10*T2^2 - 20*T2^3 + 18*T1*T2^3 - 63*T1^2*T2^3 + 
      16*T1^3*T2^3 - 36*T1^4*T2^3 + 20*T1^5*T2^3 + 20*T1^6*T2^3 - 
      36*T1^7*T2^3 + 16*T1^8*T2^3 - 63*T1^9*T2^3 + 18*T1^10*T2^3 - 
      20*T1^11*T2^3 + 22*T2^4 - 6*T1*T2^4 + 81*T1^2*T2^4 - 36*T1^3*T2^4 + 
      178*T1^4*T2^4 - 203*T1^5*T2^4 + 198*T1^6*T2^4 - 203*T1^7*T2^4 + 
      178*T1^8*T2^4 - 36*T1^9*T2^4 + 81*T1^10*T2^4 - 6*T1^11*T2^4 + 
      22*T1^12*T2^4 - 20*T2^5 - 6*T1*T2^5 - 92*T1^2*T2^5 + 20*T1^3*T2^5 - 
      203*T1^4*T2^5 + 96*T1^5*T2^5 - 22*T1^6*T2^5 - 22*T1^7*T2^5 + 
      96*T1^8*T2^5 - 203*T1^9*T2^5 + 20*T1^10*T2^5 - 92*T1^11*T2^5 - 
      6*T1^12*T2^5 - 20*T1^13*T2^5 + 14*T2^6 + 18*T1*T2^6 + 81*T1^2*T2^6 + 
      20*T1^3*T2^6 + 198*T1^4*T2^6 - 22*T1^5*T2^6 + 55*T1^6*T2^6 - 
      87*T1^7*T2^6 + 55*T1^8*T2^6 - 22*T1^9*T2^6 + 198*T1^10*T2^6 + 
      20*T1^11*T2^6 + 81*T1^12*T2^6 + 18*T1^13*T2^6 + 14*T1^14*T2^6 - 
      6*T2^7 - 24*T1*T2^7 - 63*T1^2*T2^7 - 36*T1^3*T2^7 - 203*T1^4*T2^7 - 
      22*T1^5*T2^7 - 87*T1^6*T2^7 + 50*T1^7*T2^7 + 50*T1^8*T2^7 - 
      87*T1^9*T2^7 - 22*T1^10*T2^7 - 203*T1^11*T2^7 - 36*T1^12*T2^7 - 
      63*T1^13*T2^7 - 24*T1^14*T2^7 - 6*T1^15*T2^7 + 2*T2^8 + 12*T1*T2^8 + 
      62*T1^2*T2^8 + 16*T1^3*T2^8 + 178*T1^4*T2^8 + 96*T1^5*T2^8 + 
      55*T1^6*T2^8 + 50*T1^7*T2^8 - 108*T1^8*T2^8 + 50*T1^9*T2^8 + 
      55*T1^10*T2^8 + 96*T1^11*T2^8 + 178*T1^12*T2^8 + 16*T1^13*T2^8 + 
      62*T1^14*T2^8 + 12*T1^15*T2^8 + 2*T1^16*T2^8 - 6*T1*T2^9 - 
      24*T1^2*T2^9 - 63*T1^3*T2^9 - 36*T1^4*T2^9 - 203*T1^5*T2^9 - 
      22*T1^6*T2^9 - 87*T1^7*T2^9 + 50*T1^8*T2^9 + 50*T1^9*T2^9 - 
      87*T1^10*T2^9 - 22*T1^11*T2^9 - 203*T1^12*T2^9 - 36*T1^13*T2^9 - 
      63*T1^14*T2^9 - 24*T1^15*T2^9 - 6*T1^16*T2^9 + 14*T1^2*T2^10 + 
      18*T1^3*T2^10 + 81*T1^4*T2^10 + 20*T1^5*T2^10 + 198*T1^6*T2^10 - 
      22*T1^7*T2^10 + 55*T1^8*T2^10 - 87*T1^9*T2^10 + 55*T1^10*T2^10 - 
      22*T1^11*T2^10 + 198*T1^12*T2^10 + 20*T1^13*T2^10 + 81*T1^14*T2^10 + 
      18*T1^15*T2^10 + 14*T1^16*T2^10 - 20*T1^3*T2^11 - 6*T1^4*T2^11 - 
      92*T1^5*T2^11 + 20*T1^6*T2^11 - 203*T1^7*T2^11 + 96*T1^8*T2^11 - 
      22*T1^9*T2^11 - 22*T1^10*T2^11 + 96*T1^11*T2^11 - 203*T1^12*T2^11 + 
      20*T1^13*T2^11 - 92*T1^14*T2^11 - 6*T1^15*T2^11 - 20*T1^16*T2^11 + 
      22*T1^4*T2^12 - 6*T1^5*T2^12 + 81*T1^6*T2^12 - 36*T1^7*T2^12 + 
      178*T1^8*T2^12 - 203*T1^9*T2^12 + 198*T1^10*T2^12 - 203*T1^11*T2^12 + 
      178*T1^12*T2^12 - 36*T1^13*T2^12 + 81*T1^14*T2^12 - 6*T1^15*T2^12 + 
      22*T1^16*T2^12 - 20*T1^5*T2^13 + 18*T1^6*T2^13 - 63*T1^7*T2^13 + 
      16*T1^8*T2^13 - 36*T1^9*T2^13 + 20*T1^10*T2^13 + 20*T1^11*T2^13 - 
      36*T1^12*T2^13 + 16*T1^13*T2^13 - 63*T1^14*T2^13 + 18*T1^15*T2^13 - 
      20*T1^16*T2^13 + 14*T1^6*T2^14 - 24*T1^7*T2^14 + 62*T1^8*T2^14 - 
      63*T1^9*T2^14 + 81*T1^10*T2^14 - 92*T1^11*T2^14 + 81*T1^12*T2^14 - 
      63*T1^13*T2^14 + 62*T1^14*T2^14 - 24*T1^15*T2^14 + 14*T1^16*T2^14 - 
      6*T1^7*T2^15 + 12*T1^8*T2^15 - 24*T1^9*T2^15 + 18*T1^10*T2^15 - 
      6*T1^11*T2^15 - 6*T1^12*T2^15 + 18*T1^13*T2^15 - 24*T1^14*T2^15 + 
      12*T1^15*T2^15 - 6*T1^16*T2^15 + 2*T1^8*T2^16 - 6*T1^9*T2^16 + 
      14*T1^10*T2^16 - 20*T1^11*T2^16 + 22*T1^12*T2^16 - 20*T1^13*T2^16 + 
      14*T1^14*T2^16 - 6*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 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), 
   -((1 - 3*T1 + 5*T1^2 - 8*T1^3 + 9*T1^4 - 8*T1^5 + 5*T1^6 - 3*T1^7 + T1^8 - 
      3*T2 + 6*T1*T2 - 6*T1^2*T2 + 9*T1^3*T2 - 3*T1^4*T2 - 3*T1^5*T2 + 
      9*T1^6*T2 - 6*T1^7*T2 + 6*T1^8*T2 - 3*T1^9*T2 + 5*T2^2 - 6*T1*T2^2 + 
      3*T1^2*T2^2 - 11*T1^3*T2^2 - T1^5*T2^2 - 11*T1^7*T2^2 + 3*T1^8*T2^2 - 
      6*T1^9*T2^2 + 5*T1^10*T2^2 - 8*T2^3 + 9*T1*T2^3 - 11*T1^2*T2^3 + 
      32*T1^3*T2^3 - 8*T1^4*T2^3 + 11*T1^5*T2^3 + 11*T1^6*T2^3 - 
      8*T1^7*T2^3 + 32*T1^8*T2^3 - 11*T1^9*T2^3 + 9*T1^10*T2^3 - 
      8*T1^11*T2^3 + 9*T2^4 - 3*T1*T2^4 - 8*T1^3*T2^4 - 62*T1^4*T2^4 + 
      58*T1^5*T2^4 - 96*T1^6*T2^4 + 58*T1^7*T2^4 - 62*T1^8*T2^4 - 
      8*T1^9*T2^4 - 3*T1^11*T2^4 + 9*T1^12*T2^4 - 8*T2^5 - 3*T1*T2^5 - 
      T1^2*T2^5 + 11*T1^3*T2^5 + 58*T1^4*T2^5 + 6*T1^5*T2^5 + 32*T1^6*T2^5 + 
      32*T1^7*T2^5 + 6*T1^8*T2^5 + 58*T1^9*T2^5 + 11*T1^10*T2^5 - 
      T1^11*T2^5 - 3*T1^12*T2^5 - 8*T1^13*T2^5 + 5*T2^6 + 9*T1*T2^6 + 
      11*T1^3*T2^6 - 96*T1^4*T2^6 + 32*T1^5*T2^6 - 146*T1^6*T2^6 + 
      88*T1^7*T2^6 - 146*T1^8*T2^6 + 32*T1^9*T2^6 - 96*T1^10*T2^6 + 
      11*T1^11*T2^6 + 9*T1^13*T2^6 + 5*T1^14*T2^6 - 3*T2^7 - 6*T1*T2^7 - 
      11*T1^2*T2^7 - 8*T1^3*T2^7 + 58*T1^4*T2^7 + 32*T1^5*T2^7 + 
      88*T1^6*T2^7 + 28*T1^7*T2^7 + 28*T1^8*T2^7 + 88*T1^9*T2^7 + 
      32*T1^10*T2^7 + 58*T1^11*T2^7 - 8*T1^12*T2^7 - 11*T1^13*T2^7 - 
      6*T1^14*T2^7 - 3*T1^15*T2^7 + T2^8 + 6*T1*T2^8 + 3*T1^2*T2^8 + 
      32*T1^3*T2^8 - 62*T1^4*T2^8 + 6*T1^5*T2^8 - 146*T1^6*T2^8 + 
      28*T1^7*T2^8 - 120*T1^8*T2^8 + 28*T1^9*T2^8 - 146*T1^10*T2^8 + 
      6*T1^11*T2^8 - 62*T1^12*T2^8 + 32*T1^13*T2^8 + 3*T1^14*T2^8 + 
      6*T1^15*T2^8 + T1^16*T2^8 - 3*T1*T2^9 - 6*T1^2*T2^9 - 11*T1^3*T2^9 - 
      8*T1^4*T2^9 + 58*T1^5*T2^9 + 32*T1^6*T2^9 + 88*T1^7*T2^9 + 
      28*T1^8*T2^9 + 28*T1^9*T2^9 + 88*T1^10*T2^9 + 32*T1^11*T2^9 + 
      58*T1^12*T2^9 - 8*T1^13*T2^9 - 11*T1^14*T2^9 - 6*T1^15*T2^9 - 
      3*T1^16*T2^9 + 5*T1^2*T2^10 + 9*T1^3*T2^10 + 11*T1^5*T2^10 - 
      96*T1^6*T2^10 + 32*T1^7*T2^10 - 146*T1^8*T2^10 + 88*T1^9*T2^10 - 
      146*T1^10*T2^10 + 32*T1^11*T2^10 - 96*T1^12*T2^10 + 11*T1^13*T2^10 + 
      9*T1^15*T2^10 + 5*T1^16*T2^10 - 8*T1^3*T2^11 - 3*T1^4*T2^11 - 
      T1^5*T2^11 + 11*T1^6*T2^11 + 58*T1^7*T2^11 + 6*T1^8*T2^11 + 
      32*T1^9*T2^11 + 32*T1^10*T2^11 + 6*T1^11*T2^11 + 58*T1^12*T2^11 + 
      11*T1^13*T2^11 - T1^14*T2^11 - 3*T1^15*T2^11 - 8*T1^16*T2^11 + 
      9*T1^4*T2^12 - 3*T1^5*T2^12 - 8*T1^7*T2^12 - 62*T1^8*T2^12 + 
      58*T1^9*T2^12 - 96*T1^10*T2^12 + 58*T1^11*T2^12 - 62*T1^12*T2^12 - 
      8*T1^13*T2^12 - 3*T1^15*T2^12 + 9*T1^16*T2^12 - 8*T1^5*T2^13 + 
      9*T1^6*T2^13 - 11*T1^7*T2^13 + 32*T1^8*T2^13 - 8*T1^9*T2^13 + 
      11*T1^10*T2^13 + 11*T1^11*T2^13 - 8*T1^12*T2^13 + 32*T1^13*T2^13 - 
      11*T1^14*T2^13 + 9*T1^15*T2^13 - 8*T1^16*T2^13 + 5*T1^6*T2^14 - 
      6*T1^7*T2^14 + 3*T1^8*T2^14 - 11*T1^9*T2^14 - T1^11*T2^14 - 
      11*T1^13*T2^14 + 3*T1^14*T2^14 - 6*T1^15*T2^14 + 5*T1^16*T2^14 - 
      3*T1^7*T2^15 + 6*T1^8*T2^15 - 6*T1^9*T2^15 + 9*T1^10*T2^15 - 
      3*T1^11*T2^15 - 3*T1^12*T2^15 + 9*T1^13*T2^15 - 6*T1^14*T2^15 + 
      6*T1^15*T2^15 - 3*T1^16*T2^15 + T1^8*T2^16 - 3*T1^9*T2^16 + 
      5*T1^10*T2^16 - 8*T1^11*T2^16 + 9*T1^12*T2^16 - 8*T1^13*T2^16 + 
      5*T1^14*T2^16 - 3*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   -((T1 - 4*T1^2 + 6*T1^3 - 4*T1^4 + T1^5 + T2 - 4*T1*T2 + 9*T1^2*T2 - 
      5*T1^3*T2 - 5*T1^4*T2 + 9*T1^5*T2 - 4*T1^6*T2 + T1^7*T2 - 4*T2^2 + 
      9*T1*T2^2 - 23*T1^2*T2^2 + 19*T1^3*T2^2 - 19*T1^4*T2^2 + 19*T1^5*T2^2 - 
      23*T1^6*T2^2 + 9*T1^7*T2^2 - 4*T1^8*T2^2 + 6*T2^3 - 5*T1*T2^3 + 
      19*T1^2*T2^3 + 2*T1^3*T2^3 + 6*T1^4*T2^3 + 6*T1^5*T2^3 + 2*T1^6*T2^3 + 
      19*T1^7*T2^3 - 5*T1^8*T2^3 + 6*T1^9*T2^3 - 4*T2^4 - 5*T1*T2^4 - 
      19*T1^2*T2^4 + 6*T1^3*T2^4 - 47*T1^4*T2^4 + 25*T1^5*T2^4 - 
      47*T1^6*T2^4 + 6*T1^7*T2^4 - 19*T1^8*T2^4 - 5*T1^9*T2^4 - 
      4*T1^10*T2^4 + T2^5 + 9*T1*T2^5 + 19*T1^2*T2^5 + 6*T1^3*T2^5 + 
      25*T1^4*T2^5 + 22*T1^5*T2^5 + 22*T1^6*T2^5 + 25*T1^7*T2^5 + 
      6*T1^8*T2^5 + 19*T1^9*T2^5 + 9*T1^10*T2^5 + T1^11*T2^5 - 4*T1*T2^6 - 
      23*T1^2*T2^6 + 2*T1^3*T2^6 - 47*T1^4*T2^6 + 22*T1^5*T2^6 - 
      84*T1^6*T2^6 + 22*T1^7*T2^6 - 47*T1^8*T2^6 + 2*T1^9*T2^6 - 
      23*T1^10*T2^6 - 4*T1^11*T2^6 + T1*T2^7 + 9*T1^2*T2^7 + 19*T1^3*T2^7 + 
      6*T1^4*T2^7 + 25*T1^5*T2^7 + 22*T1^6*T2^7 + 22*T1^7*T2^7 + 
      25*T1^8*T2^7 + 6*T1^9*T2^7 + 19*T1^10*T2^7 + 9*T1^11*T2^7 + 
      T1^12*T2^7 - 4*T1^2*T2^8 - 5*T1^3*T2^8 - 19*T1^4*T2^8 + 6*T1^5*T2^8 - 
      47*T1^6*T2^8 + 25*T1^7*T2^8 - 47*T1^8*T2^8 + 6*T1^9*T2^8 - 
      19*T1^10*T2^8 - 5*T1^11*T2^8 - 4*T1^12*T2^8 + 6*T1^3*T2^9 - 
      5*T1^4*T2^9 + 19*T1^5*T2^9 + 2*T1^6*T2^9 + 6*T1^7*T2^9 + 6*T1^8*T2^9 + 
      2*T1^9*T2^9 + 19*T1^10*T2^9 - 5*T1^11*T2^9 + 6*T1^12*T2^9 - 
      4*T1^4*T2^10 + 9*T1^5*T2^10 - 23*T1^6*T2^10 + 19*T1^7*T2^10 - 
      19*T1^8*T2^10 + 19*T1^9*T2^10 - 23*T1^10*T2^10 + 9*T1^11*T2^10 - 
      4*T1^12*T2^10 + T1^5*T2^11 - 4*T1^6*T2^11 + 9*T1^7*T2^11 - 
      5*T1^8*T2^11 - 5*T1^9*T2^11 + 9*T1^10*T2^11 - 4*T1^11*T2^11 + 
      T1^12*T2^11 + T1^7*T2^12 - 4*T1^8*T2^12 + 6*T1^9*T2^12 - 
      4*T1^10*T2^12 + T1^11*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 469] -> 
  {(2 - 6*T + 12*T^2 - 15*T^3 + 12*T^4 - 6*T^5 + 2*T^6)/T^3, 
   -((9 - 27*T1 + 54*T1^2 - 67*T1^3 + 54*T1^4 - 27*T1^5 + 9*T1^6 - 27*T2 + 
      54*T1*T2 - 81*T1^2*T2 + 39*T1^3*T2 + 39*T1^4*T2 - 81*T1^5*T2 + 
      54*T1^6*T2 - 27*T1^7*T2 + 54*T2^2 - 81*T1*T2^2 + 175*T1^2*T2^2 - 
      170*T1^3*T2^2 + 161*T1^4*T2^2 - 170*T1^5*T2^2 + 175*T1^6*T2^2 - 
      81*T1^7*T2^2 + 54*T1^8*T2^2 - 67*T2^3 + 39*T1*T2^3 - 170*T1^2*T2^3 + 
      62*T1^3*T2^3 - 19*T1^4*T2^3 - 19*T1^5*T2^3 + 62*T1^6*T2^3 - 
      170*T1^7*T2^3 + 39*T1^8*T2^3 - 67*T1^9*T2^3 + 54*T2^4 + 39*T1*T2^4 + 
      161*T1^2*T2^4 - 19*T1^3*T2^4 + 190*T1^4*T2^4 - 254*T1^5*T2^4 + 
      190*T1^6*T2^4 - 19*T1^7*T2^4 + 161*T1^8*T2^4 + 39*T1^9*T2^4 + 
      54*T1^10*T2^4 - 27*T2^5 - 81*T1*T2^5 - 170*T1^2*T2^5 - 19*T1^3*T2^5 - 
      254*T1^4*T2^5 + 116*T1^5*T2^5 + 116*T1^6*T2^5 - 254*T1^7*T2^5 - 
      19*T1^8*T2^5 - 170*T1^9*T2^5 - 81*T1^10*T2^5 - 27*T1^11*T2^5 + 9*T2^6 + 
      54*T1*T2^6 + 175*T1^2*T2^6 + 62*T1^3*T2^6 + 190*T1^4*T2^6 + 
      116*T1^5*T2^6 - 228*T1^6*T2^6 + 116*T1^7*T2^6 + 190*T1^8*T2^6 + 
      62*T1^9*T2^6 + 175*T1^10*T2^6 + 54*T1^11*T2^6 + 9*T1^12*T2^6 - 
      27*T1*T2^7 - 81*T1^2*T2^7 - 170*T1^3*T2^7 - 19*T1^4*T2^7 - 
      254*T1^5*T2^7 + 116*T1^6*T2^7 + 116*T1^7*T2^7 - 254*T1^8*T2^7 - 
      19*T1^9*T2^7 - 170*T1^10*T2^7 - 81*T1^11*T2^7 - 27*T1^12*T2^7 + 
      54*T1^2*T2^8 + 39*T1^3*T2^8 + 161*T1^4*T2^8 - 19*T1^5*T2^8 + 
      190*T1^6*T2^8 - 254*T1^7*T2^8 + 190*T1^8*T2^8 - 19*T1^9*T2^8 + 
      161*T1^10*T2^8 + 39*T1^11*T2^8 + 54*T1^12*T2^8 - 67*T1^3*T2^9 + 
      39*T1^4*T2^9 - 170*T1^5*T2^9 + 62*T1^6*T2^9 - 19*T1^7*T2^9 - 
      19*T1^8*T2^9 + 62*T1^9*T2^9 - 170*T1^10*T2^9 + 39*T1^11*T2^9 - 
      67*T1^12*T2^9 + 54*T1^4*T2^10 - 81*T1^5*T2^10 + 175*T1^6*T2^10 - 
      170*T1^7*T2^10 + 161*T1^8*T2^10 - 170*T1^9*T2^10 + 175*T1^10*T2^10 - 
      81*T1^11*T2^10 + 54*T1^12*T2^10 - 27*T1^5*T2^11 + 54*T1^6*T2^11 - 
      81*T1^7*T2^11 + 39*T1^8*T2^11 + 39*T1^9*T2^11 - 81*T1^10*T2^11 + 
      54*T1^11*T2^11 - 27*T1^12*T2^11 + 9*T1^6*T2^12 - 27*T1^7*T2^12 + 
      54*T1^8*T2^12 - 67*T1^9*T2^12 + 54*T1^10*T2^12 - 27*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 470] -> 
  {-((2 - 6*T + 8*T^2 - 9*T^3 + 8*T^4 - 6*T^5 + 2*T^6)/T^3), 
   -((1 - 3*T1 + 4*T1^2 - 5*T1^3 + 4*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 - 
      3*T1^2*T2 + 3*T1^3*T2 + 3*T1^4*T2 - 3*T1^5*T2 + 6*T1^6*T2 - 3*T1^7*T2 + 
      4*T2^2 - 3*T1*T2^2 + T1^2*T2^2 - 28*T1^3*T2^2 + 31*T1^4*T2^2 - 
      28*T1^5*T2^2 + T1^6*T2^2 - 3*T1^7*T2^2 + 4*T1^8*T2^2 - 5*T2^3 + 
      3*T1*T2^3 - 28*T1^2*T2^3 + 96*T1^3*T2^3 - 29*T1^4*T2^3 - 29*T1^5*T2^3 + 
      96*T1^6*T2^3 - 28*T1^7*T2^3 + 3*T1^8*T2^3 - 5*T1^9*T2^3 + 4*T2^4 + 
      3*T1*T2^4 + 31*T1^2*T2^4 - 29*T1^3*T2^4 - 232*T1^4*T2^4 + 
      254*T1^5*T2^4 - 232*T1^6*T2^4 - 29*T1^7*T2^4 + 31*T1^8*T2^4 + 
      3*T1^9*T2^4 + 4*T1^10*T2^4 - 3*T2^5 - 3*T1*T2^5 - 28*T1^2*T2^5 - 
      29*T1^3*T2^5 + 254*T1^4*T2^5 - 26*T1^5*T2^5 - 26*T1^6*T2^5 + 
      254*T1^7*T2^5 - 29*T1^8*T2^5 - 28*T1^9*T2^5 - 3*T1^10*T2^5 - 
      3*T1^11*T2^5 + T2^6 + 6*T1*T2^6 + T1^2*T2^6 + 96*T1^3*T2^6 - 
      232*T1^4*T2^6 - 26*T1^5*T2^6 - 84*T1^6*T2^6 - 26*T1^7*T2^6 - 
      232*T1^8*T2^6 + 96*T1^9*T2^6 + T1^10*T2^6 + 6*T1^11*T2^6 + T1^12*T2^6 - 
      3*T1*T2^7 - 3*T1^2*T2^7 - 28*T1^3*T2^7 - 29*T1^4*T2^7 + 254*T1^5*T2^7 - 
      26*T1^6*T2^7 - 26*T1^7*T2^7 + 254*T1^8*T2^7 - 29*T1^9*T2^7 - 
      28*T1^10*T2^7 - 3*T1^11*T2^7 - 3*T1^12*T2^7 + 4*T1^2*T2^8 + 
      3*T1^3*T2^8 + 31*T1^4*T2^8 - 29*T1^5*T2^8 - 232*T1^6*T2^8 + 
      254*T1^7*T2^8 - 232*T1^8*T2^8 - 29*T1^9*T2^8 + 31*T1^10*T2^8 + 
      3*T1^11*T2^8 + 4*T1^12*T2^8 - 5*T1^3*T2^9 + 3*T1^4*T2^9 - 
      28*T1^5*T2^9 + 96*T1^6*T2^9 - 29*T1^7*T2^9 - 29*T1^8*T2^9 + 
      96*T1^9*T2^9 - 28*T1^10*T2^9 + 3*T1^11*T2^9 - 5*T1^12*T2^9 + 
      4*T1^4*T2^10 - 3*T1^5*T2^10 + T1^6*T2^10 - 28*T1^7*T2^10 + 
      31*T1^8*T2^10 - 28*T1^9*T2^10 + T1^10*T2^10 - 3*T1^11*T2^10 + 
      4*T1^12*T2^10 - 3*T1^5*T2^11 + 6*T1^6*T2^11 - 3*T1^7*T2^11 + 
      3*T1^8*T2^11 + 3*T1^9*T2^11 - 3*T1^10*T2^11 + 6*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)/
     (T1^6*T2^6))}, Knot[12, NonAlternating, 471] -> 
  {(2 - 8*T + 16*T^2 - 19*T^3 + 16*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (7 - 29*T1 + 58*T1^2 - 69*T1^3 + 58*T1^4 - 29*T1^5 + 7*T1^6 - 29*T2 + 
     88*T1*T2 - 115*T1^2*T2 + 41*T1^3*T2 + 41*T1^4*T2 - 115*T1^5*T2 + 
     88*T1^6*T2 - 29*T1^7*T2 + 58*T2^2 - 115*T1*T2^2 + 50*T1^2*T2^2 + 
     161*T1^3*T2^2 - 176*T1^4*T2^2 + 161*T1^5*T2^2 + 50*T1^6*T2^2 - 
     115*T1^7*T2^2 + 58*T1^8*T2^2 - 69*T2^3 + 41*T1*T2^3 + 161*T1^2*T2^3 - 
     374*T1^3*T2^3 + 67*T1^4*T2^3 + 67*T1^5*T2^3 - 374*T1^6*T2^3 + 
     161*T1^7*T2^3 + 41*T1^8*T2^3 - 69*T1^9*T2^3 + 58*T2^4 + 41*T1*T2^4 - 
     176*T1^2*T2^4 + 67*T1^3*T2^4 + 614*T1^4*T2^4 - 566*T1^5*T2^4 + 
     614*T1^6*T2^4 + 67*T1^7*T2^4 - 176*T1^8*T2^4 + 41*T1^9*T2^4 + 
     58*T1^10*T2^4 - 29*T2^5 - 115*T1*T2^5 + 161*T1^2*T2^5 + 67*T1^3*T2^5 - 
     566*T1^4*T2^5 + 32*T1^5*T2^5 + 32*T1^6*T2^5 - 566*T1^7*T2^5 + 
     67*T1^8*T2^5 + 161*T1^9*T2^5 - 115*T1^10*T2^5 - 29*T1^11*T2^5 + 7*T2^6 + 
     88*T1*T2^6 + 50*T1^2*T2^6 - 374*T1^3*T2^6 + 614*T1^4*T2^6 + 
     32*T1^5*T2^6 + 168*T1^6*T2^6 + 32*T1^7*T2^6 + 614*T1^8*T2^6 - 
     374*T1^9*T2^6 + 50*T1^10*T2^6 + 88*T1^11*T2^6 + 7*T1^12*T2^6 - 
     29*T1*T2^7 - 115*T1^2*T2^7 + 161*T1^3*T2^7 + 67*T1^4*T2^7 - 
     566*T1^5*T2^7 + 32*T1^6*T2^7 + 32*T1^7*T2^7 - 566*T1^8*T2^7 + 
     67*T1^9*T2^7 + 161*T1^10*T2^7 - 115*T1^11*T2^7 - 29*T1^12*T2^7 + 
     58*T1^2*T2^8 + 41*T1^3*T2^8 - 176*T1^4*T2^8 + 67*T1^5*T2^8 + 
     614*T1^6*T2^8 - 566*T1^7*T2^8 + 614*T1^8*T2^8 + 67*T1^9*T2^8 - 
     176*T1^10*T2^8 + 41*T1^11*T2^8 + 58*T1^12*T2^8 - 69*T1^3*T2^9 + 
     41*T1^4*T2^9 + 161*T1^5*T2^9 - 374*T1^6*T2^9 + 67*T1^7*T2^9 + 
     67*T1^8*T2^9 - 374*T1^9*T2^9 + 161*T1^10*T2^9 + 41*T1^11*T2^9 - 
     69*T1^12*T2^9 + 58*T1^4*T2^10 - 115*T1^5*T2^10 + 50*T1^6*T2^10 + 
     161*T1^7*T2^10 - 176*T1^8*T2^10 + 161*T1^9*T2^10 + 50*T1^10*T2^10 - 
     115*T1^11*T2^10 + 58*T1^12*T2^10 - 29*T1^5*T2^11 + 88*T1^6*T2^11 - 
     115*T1^7*T2^11 + 41*T1^8*T2^11 + 41*T1^9*T2^11 - 115*T1^10*T2^11 + 
     88*T1^11*T2^11 - 29*T1^12*T2^11 + 7*T1^6*T2^12 - 29*T1^7*T2^12 + 
     58*T1^8*T2^12 - 69*T1^9*T2^12 + 58*T1^10*T2^12 - 29*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   (5 - 5*T1 + 10*T1^3 - 20*T1^4 + 25*T1^5 - 20*T1^6 + 10*T1^7 - 5*T1^9 + 
     5*T1^10 - 5*T2 + 5*T1^2*T2 - 10*T1^3*T2 + 10*T1^4*T2 - 5*T1^5*T2 - 
     5*T1^6*T2 + 10*T1^7*T2 - 10*T1^8*T2 + 5*T1^9*T2 - 5*T1^11*T2 + 
     5*T1*T2^2 - 5*T1^2*T2^2 + 10*T1^4*T2^2 - 20*T1^5*T2^2 + 25*T1^6*T2^2 - 
     20*T1^7*T2^2 + 10*T1^8*T2^2 - 5*T1^10*T2^2 + 5*T1^11*T2^2 + 10*T2^3 - 
     10*T1*T2^3 + 24*T1^3*T2^3 - 40*T1^4*T2^3 + 40*T1^5*T2^3 - 16*T1^6*T2^3 - 
     16*T1^7*T2^3 + 40*T1^8*T2^3 - 40*T1^9*T2^3 + 24*T1^10*T2^3 - 
     10*T1^12*T2^3 + 10*T1^13*T2^3 - 20*T2^4 + 10*T1*T2^4 + 10*T1^2*T2^4 - 
     40*T1^3*T2^4 + 42*T1^4*T2^4 - 34*T1^5*T2^4 + 9*T1^6*T2^4 + 9*T1^8*T2^4 - 
     34*T1^9*T2^4 + 42*T1^10*T2^4 - 40*T1^11*T2^4 + 10*T1^12*T2^4 + 
     10*T1^13*T2^4 - 20*T1^14*T2^4 + 25*T2^5 - 5*T1*T2^5 - 20*T1^2*T2^5 + 
     40*T1^3*T2^5 - 34*T1^4*T2^5 + 32*T1^5*T2^5 - 9*T1^6*T2^5 + 2*T1^7*T2^5 + 
     2*T1^8*T2^5 - 9*T1^9*T2^5 + 32*T1^10*T2^5 - 34*T1^11*T2^5 + 
     40*T1^12*T2^5 - 20*T1^13*T2^5 - 5*T1^14*T2^5 + 25*T1^15*T2^5 - 20*T2^6 - 
     5*T1*T2^6 + 25*T1^2*T2^6 - 16*T1^3*T2^6 + 9*T1^4*T2^6 - 9*T1^5*T2^6 - 
     4*T1^6*T2^6 - 5*T1^7*T2^6 + 12*T1^8*T2^6 - 5*T1^9*T2^6 - 4*T1^10*T2^6 - 
     9*T1^11*T2^6 + 9*T1^12*T2^6 - 16*T1^13*T2^6 + 25*T1^14*T2^6 - 
     5*T1^15*T2^6 - 20*T1^16*T2^6 + 10*T2^7 + 10*T1*T2^7 - 20*T1^2*T2^7 - 
     16*T1^3*T2^7 + 2*T1^5*T2^7 - 5*T1^6*T2^7 + 14*T1^7*T2^7 - 12*T1^8*T2^7 - 
     12*T1^9*T2^7 + 14*T1^10*T2^7 - 5*T1^11*T2^7 + 2*T1^12*T2^7 - 
     16*T1^14*T2^7 - 20*T1^15*T2^7 + 10*T1^16*T2^7 + 10*T1^17*T2^7 - 
     10*T1*T2^8 + 10*T1^2*T2^8 + 40*T1^3*T2^8 + 9*T1^4*T2^8 + 2*T1^5*T2^8 + 
     12*T1^6*T2^8 - 12*T1^7*T2^8 + 8*T1^8*T2^8 + 14*T1^9*T2^8 + 
     8*T1^10*T2^8 - 12*T1^11*T2^8 + 12*T1^12*T2^8 + 2*T1^13*T2^8 + 
     9*T1^14*T2^8 + 40*T1^15*T2^8 + 10*T1^16*T2^8 - 10*T1^17*T2^8 - 5*T2^9 + 
     5*T1*T2^9 - 40*T1^3*T2^9 - 34*T1^4*T2^9 - 9*T1^5*T2^9 - 5*T1^6*T2^9 - 
     12*T1^7*T2^9 + 14*T1^8*T2^9 - 22*T1^9*T2^9 - 22*T1^10*T2^9 + 
     14*T1^11*T2^9 - 12*T1^12*T2^9 - 5*T1^13*T2^9 - 9*T1^14*T2^9 - 
     34*T1^15*T2^9 - 40*T1^16*T2^9 + 5*T1^18*T2^9 - 5*T1^19*T2^9 + 5*T2^10 - 
     5*T1^2*T2^10 + 24*T1^3*T2^10 + 42*T1^4*T2^10 + 32*T1^5*T2^10 - 
     4*T1^6*T2^10 + 14*T1^7*T2^10 + 8*T1^8*T2^10 - 22*T1^9*T2^10 + 
     60*T1^10*T2^10 - 22*T1^11*T2^10 + 8*T1^12*T2^10 + 14*T1^13*T2^10 - 
     4*T1^14*T2^10 + 32*T1^15*T2^10 + 42*T1^16*T2^10 + 24*T1^17*T2^10 - 
     5*T1^18*T2^10 + 5*T1^20*T2^10 - 5*T1*T2^11 + 5*T1^2*T2^11 - 
     40*T1^4*T2^11 - 34*T1^5*T2^11 - 9*T1^6*T2^11 - 5*T1^7*T2^11 - 
     12*T1^8*T2^11 + 14*T1^9*T2^11 - 22*T1^10*T2^11 - 22*T1^11*T2^11 + 
     14*T1^12*T2^11 - 12*T1^13*T2^11 - 5*T1^14*T2^11 - 9*T1^15*T2^11 - 
     34*T1^16*T2^11 - 40*T1^17*T2^11 + 5*T1^19*T2^11 - 5*T1^20*T2^11 - 
     10*T1^3*T2^12 + 10*T1^4*T2^12 + 40*T1^5*T2^12 + 9*T1^6*T2^12 + 
     2*T1^7*T2^12 + 12*T1^8*T2^12 - 12*T1^9*T2^12 + 8*T1^10*T2^12 + 
     14*T1^11*T2^12 + 8*T1^12*T2^12 - 12*T1^13*T2^12 + 12*T1^14*T2^12 + 
     2*T1^15*T2^12 + 9*T1^16*T2^12 + 40*T1^17*T2^12 + 10*T1^18*T2^12 - 
     10*T1^19*T2^12 + 10*T1^3*T2^13 + 10*T1^4*T2^13 - 20*T1^5*T2^13 - 
     16*T1^6*T2^13 + 2*T1^8*T2^13 - 5*T1^9*T2^13 + 14*T1^10*T2^13 - 
     12*T1^11*T2^13 - 12*T1^12*T2^13 + 14*T1^13*T2^13 - 5*T1^14*T2^13 + 
     2*T1^15*T2^13 - 16*T1^17*T2^13 - 20*T1^18*T2^13 + 10*T1^19*T2^13 + 
     10*T1^20*T2^13 - 20*T1^4*T2^14 - 5*T1^5*T2^14 + 25*T1^6*T2^14 - 
     16*T1^7*T2^14 + 9*T1^8*T2^14 - 9*T1^9*T2^14 - 4*T1^10*T2^14 - 
     5*T1^11*T2^14 + 12*T1^12*T2^14 - 5*T1^13*T2^14 - 4*T1^14*T2^14 - 
     9*T1^15*T2^14 + 9*T1^16*T2^14 - 16*T1^17*T2^14 + 25*T1^18*T2^14 - 
     5*T1^19*T2^14 - 20*T1^20*T2^14 + 25*T1^5*T2^15 - 5*T1^6*T2^15 - 
     20*T1^7*T2^15 + 40*T1^8*T2^15 - 34*T1^9*T2^15 + 32*T1^10*T2^15 - 
     9*T1^11*T2^15 + 2*T1^12*T2^15 + 2*T1^13*T2^15 - 9*T1^14*T2^15 + 
     32*T1^15*T2^15 - 34*T1^16*T2^15 + 40*T1^17*T2^15 - 20*T1^18*T2^15 - 
     5*T1^19*T2^15 + 25*T1^20*T2^15 - 20*T1^6*T2^16 + 10*T1^7*T2^16 + 
     10*T1^8*T2^16 - 40*T1^9*T2^16 + 42*T1^10*T2^16 - 34*T1^11*T2^16 + 
     9*T1^12*T2^16 + 9*T1^14*T2^16 - 34*T1^15*T2^16 + 42*T1^16*T2^16 - 
     40*T1^17*T2^16 + 10*T1^18*T2^16 + 10*T1^19*T2^16 - 20*T1^20*T2^16 + 
     10*T1^7*T2^17 - 10*T1^8*T2^17 + 24*T1^10*T2^17 - 40*T1^11*T2^17 + 
     40*T1^12*T2^17 - 16*T1^13*T2^17 - 16*T1^14*T2^17 + 40*T1^15*T2^17 - 
     40*T1^16*T2^17 + 24*T1^17*T2^17 - 10*T1^19*T2^17 + 10*T1^20*T2^17 + 
     5*T1^9*T2^18 - 5*T1^10*T2^18 + 10*T1^12*T2^18 - 20*T1^13*T2^18 + 
     25*T1^14*T2^18 - 20*T1^15*T2^18 + 10*T1^16*T2^18 - 5*T1^18*T2^18 + 
     5*T1^19*T2^18 - 5*T1^9*T2^19 + 5*T1^11*T2^19 - 10*T1^12*T2^19 + 
     10*T1^13*T2^19 - 5*T1^14*T2^19 - 5*T1^15*T2^19 + 10*T1^16*T2^19 - 
     10*T1^17*T2^19 + 5*T1^18*T2^19 - 5*T1^20*T2^19 + 5*T1^10*T2^20 - 
     5*T1^11*T2^20 + 10*T1^13*T2^20 - 20*T1^14*T2^20 + 25*T1^15*T2^20 - 
     20*T1^16*T2^20 + 10*T1^17*T2^20 - 5*T1^19*T2^20 + 5*T1^20*T2^20)/
    (T1^10*T2^10)}, 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, 
   (33 - 49*T1 + 16*T1^2 + 50*T1^3 - 83*T1^4 + 50*T1^5 + 16*T1^6 - 49*T1^7 + 
     33*T1^8 - 49*T2 + 24*T1*T2 + 49*T1^2*T2 - 98*T1^3*T2 + 49*T1^4*T2 + 
     49*T1^5*T2 - 98*T1^6*T2 + 49*T1^7*T2 + 24*T1^8*T2 - 49*T1^9*T2 + 
     16*T2^2 + 49*T1*T2^2 - 85*T1^2*T2^2 + 36*T1^3*T2^2 + 78*T1^4*T2^2 - 
     135*T1^5*T2^2 + 78*T1^6*T2^2 + 36*T1^7*T2^2 - 85*T1^8*T2^2 + 
     49*T1^9*T2^2 + 16*T1^10*T2^2 + 50*T2^3 - 98*T1*T2^3 + 36*T1^2*T2^3 + 
     120*T1^3*T2^3 - 200*T1^4*T2^3 + 100*T1^5*T2^3 + 100*T1^6*T2^3 - 
     200*T1^7*T2^3 + 120*T1^8*T2^3 + 36*T1^9*T2^3 - 98*T1^10*T2^3 + 
     50*T1^11*T2^3 - 83*T2^4 + 49*T1*T2^4 + 78*T1^2*T2^4 - 200*T1^3*T2^4 + 
     99*T1^4*T2^4 + 122*T1^5*T2^4 - 249*T1^6*T2^4 + 122*T1^7*T2^4 + 
     99*T1^8*T2^4 - 200*T1^9*T2^4 + 78*T1^10*T2^4 + 49*T1^11*T2^4 - 
     83*T1^12*T2^4 + 50*T2^5 + 49*T1*T2^5 - 135*T1^2*T2^5 + 100*T1^3*T2^5 + 
     122*T1^4*T2^5 - 246*T1^5*T2^5 + 134*T1^6*T2^5 + 134*T1^7*T2^5 - 
     246*T1^8*T2^5 + 122*T1^9*T2^5 + 100*T1^10*T2^5 - 135*T1^11*T2^5 + 
     49*T1^12*T2^5 + 50*T1^13*T2^5 + 16*T2^6 - 98*T1*T2^6 + 78*T1^2*T2^6 + 
     100*T1^3*T2^6 - 249*T1^4*T2^6 + 134*T1^5*T2^6 + 144*T1^6*T2^6 - 
     296*T1^7*T2^6 + 144*T1^8*T2^6 + 134*T1^9*T2^6 - 249*T1^10*T2^6 + 
     100*T1^11*T2^6 + 78*T1^12*T2^6 - 98*T1^13*T2^6 + 16*T1^14*T2^6 - 
     49*T2^7 + 49*T1*T2^7 + 36*T1^2*T2^7 - 200*T1^3*T2^7 + 122*T1^4*T2^7 + 
     134*T1^5*T2^7 - 296*T1^6*T2^7 + 148*T1^7*T2^7 + 148*T1^8*T2^7 - 
     296*T1^9*T2^7 + 134*T1^10*T2^7 + 122*T1^11*T2^7 - 200*T1^12*T2^7 + 
     36*T1^13*T2^7 + 49*T1^14*T2^7 - 49*T1^15*T2^7 + 33*T2^8 + 24*T1*T2^8 - 
     85*T1^2*T2^8 + 120*T1^3*T2^8 + 99*T1^4*T2^8 - 246*T1^5*T2^8 + 
     144*T1^6*T2^8 + 148*T1^7*T2^8 - 288*T1^8*T2^8 + 148*T1^9*T2^8 + 
     144*T1^10*T2^8 - 246*T1^11*T2^8 + 99*T1^12*T2^8 + 120*T1^13*T2^8 - 
     85*T1^14*T2^8 + 24*T1^15*T2^8 + 33*T1^16*T2^8 - 49*T1*T2^9 + 
     49*T1^2*T2^9 + 36*T1^3*T2^9 - 200*T1^4*T2^9 + 122*T1^5*T2^9 + 
     134*T1^6*T2^9 - 296*T1^7*T2^9 + 148*T1^8*T2^9 + 148*T1^9*T2^9 - 
     296*T1^10*T2^9 + 134*T1^11*T2^9 + 122*T1^12*T2^9 - 200*T1^13*T2^9 + 
     36*T1^14*T2^9 + 49*T1^15*T2^9 - 49*T1^16*T2^9 + 16*T1^2*T2^10 - 
     98*T1^3*T2^10 + 78*T1^4*T2^10 + 100*T1^5*T2^10 - 249*T1^6*T2^10 + 
     134*T1^7*T2^10 + 144*T1^8*T2^10 - 296*T1^9*T2^10 + 144*T1^10*T2^10 + 
     134*T1^11*T2^10 - 249*T1^12*T2^10 + 100*T1^13*T2^10 + 78*T1^14*T2^10 - 
     98*T1^15*T2^10 + 16*T1^16*T2^10 + 50*T1^3*T2^11 + 49*T1^4*T2^11 - 
     135*T1^5*T2^11 + 100*T1^6*T2^11 + 122*T1^7*T2^11 - 246*T1^8*T2^11 + 
     134*T1^9*T2^11 + 134*T1^10*T2^11 - 246*T1^11*T2^11 + 122*T1^12*T2^11 + 
     100*T1^13*T2^11 - 135*T1^14*T2^11 + 49*T1^15*T2^11 + 50*T1^16*T2^11 - 
     83*T1^4*T2^12 + 49*T1^5*T2^12 + 78*T1^6*T2^12 - 200*T1^7*T2^12 + 
     99*T1^8*T2^12 + 122*T1^9*T2^12 - 249*T1^10*T2^12 + 122*T1^11*T2^12 + 
     99*T1^12*T2^12 - 200*T1^13*T2^12 + 78*T1^14*T2^12 + 49*T1^15*T2^12 - 
     83*T1^16*T2^12 + 50*T1^5*T2^13 - 98*T1^6*T2^13 + 36*T1^7*T2^13 + 
     120*T1^8*T2^13 - 200*T1^9*T2^13 + 100*T1^10*T2^13 + 100*T1^11*T2^13 - 
     200*T1^12*T2^13 + 120*T1^13*T2^13 + 36*T1^14*T2^13 - 98*T1^15*T2^13 + 
     50*T1^16*T2^13 + 16*T1^6*T2^14 + 49*T1^7*T2^14 - 85*T1^8*T2^14 + 
     36*T1^9*T2^14 + 78*T1^10*T2^14 - 135*T1^11*T2^14 + 78*T1^12*T2^14 + 
     36*T1^13*T2^14 - 85*T1^14*T2^14 + 49*T1^15*T2^14 + 16*T1^16*T2^14 - 
     49*T1^7*T2^15 + 24*T1^8*T2^15 + 49*T1^9*T2^15 - 98*T1^10*T2^15 + 
     49*T1^11*T2^15 + 49*T1^12*T2^15 - 98*T1^13*T2^15 + 49*T1^14*T2^15 + 
     24*T1^15*T2^15 - 49*T1^16*T2^15 + 33*T1^8*T2^16 - 49*T1^9*T2^16 + 
     16*T1^10*T2^16 + 50*T1^11*T2^16 - 83*T1^12*T2^16 + 50*T1^13*T2^16 + 
     16*T1^14*T2^16 - 49*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 
   (33 - 49*T1 + 32*T1^2 - 15*T1^3 + 15*T1^4 - 15*T1^5 + 32*T1^6 - 49*T1^7 + 
     33*T1^8 - 49*T2 + 24*T1*T2 + 25*T1^2*T2 - 25*T1^3*T2 - 25*T1^6*T2 + 
     25*T1^7*T2 + 24*T1^8*T2 - 49*T1^9*T2 + 32*T2^2 + 25*T1*T2^2 - 
     49*T1^2*T2^2 + 14*T1^3*T2^2 + 8*T1^4*T2^2 + 7*T1^5*T2^2 + 8*T1^6*T2^2 + 
     14*T1^7*T2^2 - 49*T1^8*T2^2 + 25*T1^9*T2^2 + 32*T1^10*T2^2 - 15*T2^3 - 
     25*T1*T2^3 + 14*T1^2*T2^3 + 12*T1^3*T2^3 - 8*T1^4*T2^3 - 7*T1^5*T2^3 - 
     7*T1^6*T2^3 - 8*T1^7*T2^3 + 12*T1^8*T2^3 + 14*T1^9*T2^3 - 
     25*T1^10*T2^3 - 15*T1^11*T2^3 + 15*T2^4 + 8*T1^2*T2^4 - 8*T1^3*T2^4 + 
     4*T1^4*T2^4 - 4*T1^5*T2^4 + 14*T1^6*T2^4 - 4*T1^7*T2^4 + 4*T1^8*T2^4 - 
     8*T1^9*T2^4 + 8*T1^10*T2^4 + 15*T1^12*T2^4 - 15*T2^5 + 7*T1^2*T2^5 - 
     7*T1^3*T2^5 - 4*T1^4*T2^5 + 2*T1^5*T2^5 - 2*T1^6*T2^5 - 2*T1^7*T2^5 + 
     2*T1^8*T2^5 - 4*T1^9*T2^5 - 7*T1^10*T2^5 + 7*T1^11*T2^5 - 
     15*T1^13*T2^5 + 32*T2^6 - 25*T1*T2^6 + 8*T1^2*T2^6 - 7*T1^3*T2^6 + 
     14*T1^4*T2^6 - 2*T1^5*T2^6 + 11*T1^6*T2^6 - 19*T1^7*T2^6 + 
     11*T1^8*T2^6 - 2*T1^9*T2^6 + 14*T1^10*T2^6 - 7*T1^11*T2^6 + 
     8*T1^12*T2^6 - 25*T1^13*T2^6 + 32*T1^14*T2^6 - 49*T2^7 + 25*T1*T2^7 + 
     14*T1^2*T2^7 - 8*T1^3*T2^7 - 4*T1^4*T2^7 - 2*T1^5*T2^7 - 19*T1^6*T2^7 + 
     14*T1^7*T2^7 + 14*T1^8*T2^7 - 19*T1^9*T2^7 - 2*T1^10*T2^7 - 
     4*T1^11*T2^7 - 8*T1^12*T2^7 + 14*T1^13*T2^7 + 25*T1^14*T2^7 - 
     49*T1^15*T2^7 + 33*T2^8 + 24*T1*T2^8 - 49*T1^2*T2^8 + 12*T1^3*T2^8 + 
     4*T1^4*T2^8 + 2*T1^5*T2^8 + 11*T1^6*T2^8 + 14*T1^7*T2^8 - 36*T1^8*T2^8 + 
     14*T1^9*T2^8 + 11*T1^10*T2^8 + 2*T1^11*T2^8 + 4*T1^12*T2^8 + 
     12*T1^13*T2^8 - 49*T1^14*T2^8 + 24*T1^15*T2^8 + 33*T1^16*T2^8 - 
     49*T1*T2^9 + 25*T1^2*T2^9 + 14*T1^3*T2^9 - 8*T1^4*T2^9 - 4*T1^5*T2^9 - 
     2*T1^6*T2^9 - 19*T1^7*T2^9 + 14*T1^8*T2^9 + 14*T1^9*T2^9 - 
     19*T1^10*T2^9 - 2*T1^11*T2^9 - 4*T1^12*T2^9 - 8*T1^13*T2^9 + 
     14*T1^14*T2^9 + 25*T1^15*T2^9 - 49*T1^16*T2^9 + 32*T1^2*T2^10 - 
     25*T1^3*T2^10 + 8*T1^4*T2^10 - 7*T1^5*T2^10 + 14*T1^6*T2^10 - 
     2*T1^7*T2^10 + 11*T1^8*T2^10 - 19*T1^9*T2^10 + 11*T1^10*T2^10 - 
     2*T1^11*T2^10 + 14*T1^12*T2^10 - 7*T1^13*T2^10 + 8*T1^14*T2^10 - 
     25*T1^15*T2^10 + 32*T1^16*T2^10 - 15*T1^3*T2^11 + 7*T1^5*T2^11 - 
     7*T1^6*T2^11 - 4*T1^7*T2^11 + 2*T1^8*T2^11 - 2*T1^9*T2^11 - 
     2*T1^10*T2^11 + 2*T1^11*T2^11 - 4*T1^12*T2^11 - 7*T1^13*T2^11 + 
     7*T1^14*T2^11 - 15*T1^16*T2^11 + 15*T1^4*T2^12 + 8*T1^6*T2^12 - 
     8*T1^7*T2^12 + 4*T1^8*T2^12 - 4*T1^9*T2^12 + 14*T1^10*T2^12 - 
     4*T1^11*T2^12 + 4*T1^12*T2^12 - 8*T1^13*T2^12 + 8*T1^14*T2^12 + 
     15*T1^16*T2^12 - 15*T1^5*T2^13 - 25*T1^6*T2^13 + 14*T1^7*T2^13 + 
     12*T1^8*T2^13 - 8*T1^9*T2^13 - 7*T1^10*T2^13 - 7*T1^11*T2^13 - 
     8*T1^12*T2^13 + 12*T1^13*T2^13 + 14*T1^14*T2^13 - 25*T1^15*T2^13 - 
     15*T1^16*T2^13 + 32*T1^6*T2^14 + 25*T1^7*T2^14 - 49*T1^8*T2^14 + 
     14*T1^9*T2^14 + 8*T1^10*T2^14 + 7*T1^11*T2^14 + 8*T1^12*T2^14 + 
     14*T1^13*T2^14 - 49*T1^14*T2^14 + 25*T1^15*T2^14 + 32*T1^16*T2^14 - 
     49*T1^7*T2^15 + 24*T1^8*T2^15 + 25*T1^9*T2^15 - 25*T1^10*T2^15 - 
     25*T1^13*T2^15 + 25*T1^14*T2^15 + 24*T1^15*T2^15 - 49*T1^16*T2^15 + 
     33*T1^8*T2^16 - 49*T1^9*T2^16 + 32*T1^10*T2^16 - 15*T1^11*T2^16 + 
     15*T1^12*T2^16 - 15*T1^13*T2^16 + 32*T1^14*T2^16 - 49*T1^15*T2^16 + 
     33*T1^16*T2^16)/(T1^8*T2^8)}, Knot[12, NonAlternating, 475] -> 
  {(1 - 2*T + T^2 + T^3 + T^4 - 2*T^5 + T^6)/T^3, 
   -((1 - 2*T1 + T1^2 + T1^3 + T1^4 - 2*T1^5 + T1^6 - 2*T2 + 2*T1*T2 + 
      2*T1^2*T2 - 4*T1^3*T2 - 4*T1^4*T2 + 2*T1^5*T2 + 2*T1^6*T2 - 2*T1^7*T2 + 
      T2^2 + 2*T1*T2^2 - 6*T1^2*T2^2 + 3*T1^3*T2^2 + 6*T1^4*T2^2 + 
      3*T1^5*T2^2 - 6*T1^6*T2^2 + 2*T1^7*T2^2 + T1^8*T2^2 + T2^3 - 
      4*T1*T2^3 + 3*T1^2*T2^3 + 2*T1^3*T2^3 - 4*T1^4*T2^3 - 4*T1^5*T2^3 + 
      2*T1^6*T2^3 + 3*T1^7*T2^3 - 4*T1^8*T2^3 + T1^9*T2^3 + T2^4 - 
      4*T1*T2^4 + 6*T1^2*T2^4 - 4*T1^3*T2^4 - 12*T1^4*T2^4 + 20*T1^5*T2^4 - 
      12*T1^6*T2^4 - 4*T1^7*T2^4 + 6*T1^8*T2^4 - 4*T1^9*T2^4 + T1^10*T2^4 - 
      2*T2^5 + 2*T1*T2^5 + 3*T1^2*T2^5 - 4*T1^3*T2^5 + 20*T1^4*T2^5 - 
      8*T1^5*T2^5 - 8*T1^6*T2^5 + 20*T1^7*T2^5 - 4*T1^8*T2^5 + 3*T1^9*T2^5 + 
      2*T1^10*T2^5 - 2*T1^11*T2^5 + T2^6 + 2*T1*T2^6 - 6*T1^2*T2^6 + 
      2*T1^3*T2^6 - 12*T1^4*T2^6 - 8*T1^5*T2^6 + 12*T1^6*T2^6 - 8*T1^7*T2^6 - 
      12*T1^8*T2^6 + 2*T1^9*T2^6 - 6*T1^10*T2^6 + 2*T1^11*T2^6 + T1^12*T2^6 - 
      2*T1*T2^7 + 2*T1^2*T2^7 + 3*T1^3*T2^7 - 4*T1^4*T2^7 + 20*T1^5*T2^7 - 
      8*T1^6*T2^7 - 8*T1^7*T2^7 + 20*T1^8*T2^7 - 4*T1^9*T2^7 + 3*T1^10*T2^7 + 
      2*T1^11*T2^7 - 2*T1^12*T2^7 + T1^2*T2^8 - 4*T1^3*T2^8 + 6*T1^4*T2^8 - 
      4*T1^5*T2^8 - 12*T1^6*T2^8 + 20*T1^7*T2^8 - 12*T1^8*T2^8 - 
      4*T1^9*T2^8 + 6*T1^10*T2^8 - 4*T1^11*T2^8 + T1^12*T2^8 + T1^3*T2^9 - 
      4*T1^4*T2^9 + 3*T1^5*T2^9 + 2*T1^6*T2^9 - 4*T1^7*T2^9 - 4*T1^8*T2^9 + 
      2*T1^9*T2^9 + 3*T1^10*T2^9 - 4*T1^11*T2^9 + T1^12*T2^9 + T1^4*T2^10 + 
      2*T1^5*T2^10 - 6*T1^6*T2^10 + 3*T1^7*T2^10 + 6*T1^8*T2^10 + 
      3*T1^9*T2^10 - 6*T1^10*T2^10 + 2*T1^11*T2^10 + T1^12*T2^10 - 
      2*T1^5*T2^11 + 2*T1^6*T2^11 + 2*T1^7*T2^11 - 4*T1^8*T2^11 - 
      4*T1^9*T2^11 + 2*T1^10*T2^11 + 2*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)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 476] -> 
  {-((3 - 10*T + 15*T^2 - 17*T^3 + 15*T^4 - 10*T^5 + 3*T^6)/T^3), 
   -((57 - 186*T1 + 275*T1^2 - 311*T1^3 + 275*T1^4 - 186*T1^5 + 57*T1^6 - 
      186*T2 + 422*T1*T2 - 292*T1^2*T2 + 118*T1^3*T2 + 118*T1^4*T2 - 
      292*T1^5*T2 + 422*T1^6*T2 - 186*T1^7*T2 + 275*T2^2 - 292*T1*T2^2 - 
      414*T1^2*T2^2 + 645*T1^3*T2^2 - 800*T1^4*T2^2 + 645*T1^5*T2^2 - 
      414*T1^6*T2^2 - 292*T1^7*T2^2 + 275*T1^8*T2^2 - 311*T2^3 + 
      118*T1*T2^3 + 645*T1^2*T2^3 - 264*T1^3*T2^3 + 176*T1^4*T2^3 + 
      176*T1^5*T2^3 - 264*T1^6*T2^3 + 645*T1^7*T2^3 + 118*T1^8*T2^3 - 
      311*T1^9*T2^3 + 275*T2^4 + 118*T1*T2^4 - 800*T1^2*T2^4 + 
      176*T1^3*T2^4 - 418*T1^4*T2^4 + 212*T1^5*T2^4 - 418*T1^6*T2^4 + 
      176*T1^7*T2^4 - 800*T1^8*T2^4 + 118*T1^9*T2^4 + 275*T1^10*T2^4 - 
      186*T2^5 - 292*T1*T2^5 + 645*T1^2*T2^5 + 176*T1^3*T2^5 + 
      212*T1^4*T2^5 + 114*T1^5*T2^5 + 114*T1^6*T2^5 + 212*T1^7*T2^5 + 
      176*T1^8*T2^5 + 645*T1^9*T2^5 - 292*T1^10*T2^5 - 186*T1^11*T2^5 + 
      57*T2^6 + 422*T1*T2^6 - 414*T1^2*T2^6 - 264*T1^3*T2^6 - 418*T1^4*T2^6 + 
      114*T1^5*T2^6 - 420*T1^6*T2^6 + 114*T1^7*T2^6 - 418*T1^8*T2^6 - 
      264*T1^9*T2^6 - 414*T1^10*T2^6 + 422*T1^11*T2^6 + 57*T1^12*T2^6 - 
      186*T1*T2^7 - 292*T1^2*T2^7 + 645*T1^3*T2^7 + 176*T1^4*T2^7 + 
      212*T1^5*T2^7 + 114*T1^6*T2^7 + 114*T1^7*T2^7 + 212*T1^8*T2^7 + 
      176*T1^9*T2^7 + 645*T1^10*T2^7 - 292*T1^11*T2^7 - 186*T1^12*T2^7 + 
      275*T1^2*T2^8 + 118*T1^3*T2^8 - 800*T1^4*T2^8 + 176*T1^5*T2^8 - 
      418*T1^6*T2^8 + 212*T1^7*T2^8 - 418*T1^8*T2^8 + 176*T1^9*T2^8 - 
      800*T1^10*T2^8 + 118*T1^11*T2^8 + 275*T1^12*T2^8 - 311*T1^3*T2^9 + 
      118*T1^4*T2^9 + 645*T1^5*T2^9 - 264*T1^6*T2^9 + 176*T1^7*T2^9 + 
      176*T1^8*T2^9 - 264*T1^9*T2^9 + 645*T1^10*T2^9 + 118*T1^11*T2^9 - 
      311*T1^12*T2^9 + 275*T1^4*T2^10 - 292*T1^5*T2^10 - 414*T1^6*T2^10 + 
      645*T1^7*T2^10 - 800*T1^8*T2^10 + 645*T1^9*T2^10 - 414*T1^10*T2^10 - 
      292*T1^11*T2^10 + 275*T1^12*T2^10 - 186*T1^5*T2^11 + 422*T1^6*T2^11 - 
      292*T1^7*T2^11 + 118*T1^8*T2^11 + 118*T1^9*T2^11 - 292*T1^10*T2^11 + 
      422*T1^11*T2^11 - 186*T1^12*T2^11 + 57*T1^6*T2^12 - 186*T1^7*T2^12 + 
      275*T1^8*T2^12 - 311*T1^9*T2^12 + 275*T1^10*T2^12 - 186*T1^11*T2^12 + 
      57*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 477] -> 
  {(4 - 8*T + 7*T^2 - 5*T^3 + 7*T^4 - 8*T^5 + 4*T^6)/T^3, 
   (208 - 408*T1 + 348*T1^2 - 240*T1^3 + 348*T1^4 - 408*T1^5 + 208*T1^6 - 
     408*T2 + 396*T1*T2 + 114*T1^2*T2 - 210*T1^3*T2 - 210*T1^4*T2 + 
     114*T1^5*T2 + 396*T1^6*T2 - 408*T1^7*T2 + 348*T2^2 + 114*T1*T2^2 - 
     676*T1^2*T2^2 + 327*T1^3*T2^2 + 156*T1^4*T2^2 + 327*T1^5*T2^2 - 
     676*T1^6*T2^2 + 114*T1^7*T2^2 + 348*T1^8*T2^2 - 240*T2^3 - 210*T1*T2^3 + 
     327*T1^2*T2^3 + 164*T1^3*T2^3 - 262*T1^4*T2^3 - 262*T1^5*T2^3 + 
     164*T1^6*T2^3 + 327*T1^7*T2^3 - 210*T1^8*T2^3 - 240*T1^9*T2^3 + 
     348*T2^4 - 210*T1*T2^4 + 156*T1^2*T2^4 - 262*T1^3*T2^4 + 300*T1^4*T2^4 - 
     198*T1^5*T2^4 + 300*T1^6*T2^4 - 262*T1^7*T2^4 + 156*T1^8*T2^4 - 
     210*T1^9*T2^4 + 348*T1^10*T2^4 - 408*T2^5 + 114*T1*T2^5 + 
     327*T1^2*T2^5 - 262*T1^3*T2^5 - 198*T1^4*T2^5 + 154*T1^5*T2^5 + 
     154*T1^6*T2^5 - 198*T1^7*T2^5 - 262*T1^8*T2^5 + 327*T1^9*T2^5 + 
     114*T1^10*T2^5 - 408*T1^11*T2^5 + 208*T2^6 + 396*T1*T2^6 - 
     676*T1^2*T2^6 + 164*T1^3*T2^6 + 300*T1^4*T2^6 + 154*T1^5*T2^6 - 
     492*T1^6*T2^6 + 154*T1^7*T2^6 + 300*T1^8*T2^6 + 164*T1^9*T2^6 - 
     676*T1^10*T2^6 + 396*T1^11*T2^6 + 208*T1^12*T2^6 - 408*T1*T2^7 + 
     114*T1^2*T2^7 + 327*T1^3*T2^7 - 262*T1^4*T2^7 - 198*T1^5*T2^7 + 
     154*T1^6*T2^7 + 154*T1^7*T2^7 - 198*T1^8*T2^7 - 262*T1^9*T2^7 + 
     327*T1^10*T2^7 + 114*T1^11*T2^7 - 408*T1^12*T2^7 + 348*T1^2*T2^8 - 
     210*T1^3*T2^8 + 156*T1^4*T2^8 - 262*T1^5*T2^8 + 300*T1^6*T2^8 - 
     198*T1^7*T2^8 + 300*T1^8*T2^8 - 262*T1^9*T2^8 + 156*T1^10*T2^8 - 
     210*T1^11*T2^8 + 348*T1^12*T2^8 - 240*T1^3*T2^9 - 210*T1^4*T2^9 + 
     327*T1^5*T2^9 + 164*T1^6*T2^9 - 262*T1^7*T2^9 - 262*T1^8*T2^9 + 
     164*T1^9*T2^9 + 327*T1^10*T2^9 - 210*T1^11*T2^9 - 240*T1^12*T2^9 + 
     348*T1^4*T2^10 + 114*T1^5*T2^10 - 676*T1^6*T2^10 + 327*T1^7*T2^10 + 
     156*T1^8*T2^10 + 327*T1^9*T2^10 - 676*T1^10*T2^10 + 114*T1^11*T2^10 + 
     348*T1^12*T2^10 - 408*T1^5*T2^11 + 396*T1^6*T2^11 + 114*T1^7*T2^11 - 
     210*T1^8*T2^11 - 210*T1^9*T2^11 + 114*T1^10*T2^11 + 396*T1^11*T2^11 - 
     408*T1^12*T2^11 + 208*T1^6*T2^12 - 408*T1^7*T2^12 + 348*T1^8*T2^12 - 
     240*T1^9*T2^12 + 348*T1^10*T2^12 - 408*T1^11*T2^12 + 208*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 478] -> 
  {(2 - 7*T + 11*T^2 - 7*T^3 + 2*T^4)/T^2, 
   -((1 - 2*T1 + 3*T1^2 - 2*T1^3 + T1^4 - 2*T2 + 4*T1*T2 + 2*T1^2*T2 + 
      2*T1^3*T2 + 4*T1^4*T2 - 2*T1^5*T2 + 3*T2^2 + 2*T1*T2^2 - 69*T1^2*T2^2 + 
      63*T1^3*T2^2 - 69*T1^4*T2^2 + 2*T1^5*T2^2 + 3*T1^6*T2^2 - 2*T2^3 + 
      2*T1*T2^3 + 63*T1^2*T2^3 + 20*T1^3*T2^3 + 20*T1^4*T2^3 + 63*T1^5*T2^3 + 
      2*T1^6*T2^3 - 2*T1^7*T2^3 + T2^4 + 4*T1*T2^4 - 69*T1^2*T2^4 + 
      20*T1^3*T2^4 - 132*T1^4*T2^4 + 20*T1^5*T2^4 - 69*T1^6*T2^4 + 
      4*T1^7*T2^4 + T1^8*T2^4 - 2*T1*T2^5 + 2*T1^2*T2^5 + 63*T1^3*T2^5 + 
      20*T1^4*T2^5 + 20*T1^5*T2^5 + 63*T1^6*T2^5 + 2*T1^7*T2^5 - 
      2*T1^8*T2^5 + 3*T1^2*T2^6 + 2*T1^3*T2^6 - 69*T1^4*T2^6 + 63*T1^5*T2^6 - 
      69*T1^6*T2^6 + 2*T1^7*T2^6 + 3*T1^8*T2^6 - 2*T1^3*T2^7 + 4*T1^4*T2^7 + 
      2*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 + 3*T1^6*T2^8 - 2*T1^7*T2^8 + T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, NonAlternating, 479] -> 
  {-((6 - 21*T + 29*T^2 - 21*T^3 + 6*T^4)/T^2), 
   -((267 - 906*T1 + 1229*T1^2 - 906*T1^3 + 267*T1^4 - 906*T2 + 2168*T1*T2 - 
      1094*T1^2*T2 - 1094*T1^3*T2 + 2168*T1^4*T2 - 906*T1^5*T2 + 1229*T2^2 - 
      1094*T1*T2^2 - 3615*T1^2*T2^2 + 5947*T1^3*T2^2 - 3615*T1^4*T2^2 - 
      1094*T1^5*T2^2 + 1229*T1^6*T2^2 - 906*T2^3 - 1094*T1*T2^3 + 
      5947*T1^2*T2^3 - 3036*T1^3*T2^3 - 3036*T1^4*T2^3 + 5947*T1^5*T2^3 - 
      1094*T1^6*T2^3 - 906*T1^7*T2^3 + 267*T2^4 + 2168*T1*T2^4 - 
      3615*T1^2*T2^4 - 3036*T1^3*T2^4 + 6240*T1^4*T2^4 - 3036*T1^5*T2^4 - 
      3615*T1^6*T2^4 + 2168*T1^7*T2^4 + 267*T1^8*T2^4 - 906*T1*T2^5 - 
      1094*T1^2*T2^5 + 5947*T1^3*T2^5 - 3036*T1^4*T2^5 - 3036*T1^5*T2^5 + 
      5947*T1^6*T2^5 - 1094*T1^7*T2^5 - 906*T1^8*T2^5 + 1229*T1^2*T2^6 - 
      1094*T1^3*T2^6 - 3615*T1^4*T2^6 + 5947*T1^5*T2^6 - 3615*T1^6*T2^6 - 
      1094*T1^7*T2^6 + 1229*T1^8*T2^6 - 906*T1^3*T2^7 + 2168*T1^4*T2^7 - 
      1094*T1^5*T2^7 - 1094*T1^6*T2^7 + 2168*T1^7*T2^7 - 906*T1^8*T2^7 + 
      267*T1^4*T2^8 - 906*T1^5*T2^8 + 1229*T1^6*T2^8 - 906*T1^7*T2^8 + 
      267*T1^8*T2^8)/(T1^4*T2^4))}, Knot[12, NonAlternating, 480] -> 
  {-((1 - 6*T + 19*T^2 - 29*T^3 + 19*T^4 - 6*T^5 + T^6)/T^3), 
   (4*T1 - 5*T1^2 - 5*T1^3 + 4*T1^4 + 4*T2 - 56*T1*T2 + 101*T1^2*T2 - 
     74*T1^3*T2 + 101*T1^4*T2 - 56*T1^5*T2 + 4*T1^6*T2 - 5*T2^2 + 
     101*T1*T2^2 - 72*T1^2*T2^2 - 81*T1^3*T2^2 - 81*T1^4*T2^2 - 
     72*T1^5*T2^2 + 101*T1^6*T2^2 - 5*T1^7*T2^2 - 5*T2^3 - 74*T1*T2^3 - 
     81*T1^2*T2^3 + 74*T1^3*T2^3 + 478*T1^4*T2^3 + 74*T1^5*T2^3 - 
     81*T1^6*T2^3 - 74*T1^7*T2^3 - 5*T1^8*T2^3 + 4*T2^4 + 101*T1*T2^4 - 
     81*T1^2*T2^4 + 478*T1^3*T2^4 - 768*T1^4*T2^4 - 768*T1^5*T2^4 + 
     478*T1^6*T2^4 - 81*T1^7*T2^4 + 101*T1^8*T2^4 + 4*T1^9*T2^4 - 
     56*T1*T2^5 - 72*T1^2*T2^5 + 74*T1^3*T2^5 - 768*T1^4*T2^5 + 
     2280*T1^5*T2^5 - 768*T1^6*T2^5 + 74*T1^7*T2^5 - 72*T1^8*T2^5 - 
     56*T1^9*T2^5 + 4*T1*T2^6 + 101*T1^2*T2^6 - 81*T1^3*T2^6 + 
     478*T1^4*T2^6 - 768*T1^5*T2^6 - 768*T1^6*T2^6 + 478*T1^7*T2^6 - 
     81*T1^8*T2^6 + 101*T1^9*T2^6 + 4*T1^10*T2^6 - 5*T1^2*T2^7 - 
     74*T1^3*T2^7 - 81*T1^4*T2^7 + 74*T1^5*T2^7 + 478*T1^6*T2^7 + 
     74*T1^7*T2^7 - 81*T1^8*T2^7 - 74*T1^9*T2^7 - 5*T1^10*T2^7 - 
     5*T1^3*T2^8 + 101*T1^4*T2^8 - 72*T1^5*T2^8 - 81*T1^6*T2^8 - 
     81*T1^7*T2^8 - 72*T1^8*T2^8 + 101*T1^9*T2^8 - 5*T1^10*T2^8 + 
     4*T1^4*T2^9 - 56*T1^5*T2^9 + 101*T1^6*T2^9 - 74*T1^7*T2^9 + 
     101*T1^8*T2^9 - 56*T1^9*T2^9 + 4*T1^10*T2^9 + 4*T1^6*T2^10 - 
     5*T1^7*T2^10 - 5*T1^8*T2^10 + 4*T1^9*T2^10)/(T1^5*T2^5)}, 
 Knot[12, NonAlternating, 481] -> 
  {-((1 - 5*T + 15*T^2 - 23*T^3 + 15*T^4 - 5*T^5 + T^6)/T^3), 
   (3*T1 - 4*T1^2 - 4*T1^3 + 3*T1^4 + 3*T2 - 37*T1*T2 + 65*T1^2*T2 - 
     43*T1^3*T2 + 65*T1^4*T2 - 37*T1^5*T2 + 3*T1^6*T2 - 4*T2^2 + 65*T1*T2^2 - 
     50*T1^2*T2^2 - 50*T1^3*T2^2 - 50*T1^4*T2^2 - 50*T1^5*T2^2 + 
     65*T1^6*T2^2 - 4*T1^7*T2^2 - 4*T2^3 - 43*T1*T2^3 - 50*T1^2*T2^3 + 
     87*T1^3*T2^3 + 209*T1^4*T2^3 + 87*T1^5*T2^3 - 50*T1^6*T2^3 - 
     43*T1^7*T2^3 - 4*T1^8*T2^3 + 3*T2^4 + 65*T1*T2^4 - 50*T1^2*T2^4 + 
     209*T1^3*T2^4 - 382*T1^4*T2^4 - 382*T1^5*T2^4 + 209*T1^6*T2^4 - 
     50*T1^7*T2^4 + 65*T1^8*T2^4 + 3*T1^9*T2^4 - 37*T1*T2^5 - 50*T1^2*T2^5 + 
     87*T1^3*T2^5 - 382*T1^4*T2^5 + 1128*T1^5*T2^5 - 382*T1^6*T2^5 + 
     87*T1^7*T2^5 - 50*T1^8*T2^5 - 37*T1^9*T2^5 + 3*T1*T2^6 + 65*T1^2*T2^6 - 
     50*T1^3*T2^6 + 209*T1^4*T2^6 - 382*T1^5*T2^6 - 382*T1^6*T2^6 + 
     209*T1^7*T2^6 - 50*T1^8*T2^6 + 65*T1^9*T2^6 + 3*T1^10*T2^6 - 
     4*T1^2*T2^7 - 43*T1^3*T2^7 - 50*T1^4*T2^7 + 87*T1^5*T2^7 + 
     209*T1^6*T2^7 + 87*T1^7*T2^7 - 50*T1^8*T2^7 - 43*T1^9*T2^7 - 
     4*T1^10*T2^7 - 4*T1^3*T2^8 + 65*T1^4*T2^8 - 50*T1^5*T2^8 - 
     50*T1^6*T2^8 - 50*T1^7*T2^8 - 50*T1^8*T2^8 + 65*T1^9*T2^8 - 
     4*T1^10*T2^8 + 3*T1^4*T2^9 - 37*T1^5*T2^9 + 65*T1^6*T2^9 - 
     43*T1^7*T2^9 + 65*T1^8*T2^9 - 37*T1^9*T2^9 + 3*T1^10*T2^9 + 
     3*T1^6*T2^10 - 4*T1^7*T2^10 - 4*T1^8*T2^10 + 3*T1^9*T2^10)/(T1^5*T2^5)}, 
 Knot[12, NonAlternating, 482] -> 
  {-(((1 - 3*T + T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3), 
   -((T1^2 + T1^3 - 2*T1*T2 - 16*T1^3*T2 - 2*T1^5*T2 + T2^2 + 16*T1^2*T2^2 + 
      28*T1^3*T2^2 + 28*T1^4*T2^2 + 16*T1^5*T2^2 + T1^7*T2^2 + T2^3 - 
      16*T1*T2^3 + 28*T1^2*T2^3 - 170*T1^3*T2^3 + 72*T1^4*T2^3 - 
      170*T1^5*T2^3 + 28*T1^6*T2^3 - 16*T1^7*T2^3 + T1^8*T2^3 + 
      28*T1^2*T2^4 + 72*T1^3*T2^4 + 114*T1^4*T2^4 + 114*T1^5*T2^4 + 
      72*T1^6*T2^4 + 28*T1^7*T2^4 - 2*T1*T2^5 + 16*T1^2*T2^5 - 
      170*T1^3*T2^5 + 114*T1^4*T2^5 - 432*T1^5*T2^5 + 114*T1^6*T2^5 - 
      170*T1^7*T2^5 + 16*T1^8*T2^5 - 2*T1^9*T2^5 + 28*T1^3*T2^6 + 
      72*T1^4*T2^6 + 114*T1^5*T2^6 + 114*T1^6*T2^6 + 72*T1^7*T2^6 + 
      28*T1^8*T2^6 + T1^2*T2^7 - 16*T1^3*T2^7 + 28*T1^4*T2^7 - 
      170*T1^5*T2^7 + 72*T1^6*T2^7 - 170*T1^7*T2^7 + 28*T1^8*T2^7 - 
      16*T1^9*T2^7 + T1^10*T2^7 + T1^3*T2^8 + 16*T1^5*T2^8 + 28*T1^6*T2^8 + 
      28*T1^7*T2^8 + 16*T1^8*T2^8 + T1^10*T2^8 - 2*T1^5*T2^9 - 16*T1^7*T2^9 - 
      2*T1^9*T2^9 + T1^7*T2^10 + T1^8*T2^10)/(T1^5*T2^5))}, 
 Knot[12, NonAlternating, 483] -> {-(((1 - 3*T + T^2)*(1 - T + T^2))/T^2), 
   -((1 - 4*T1 + 7*T1^2 - 4*T1^3 + T1^4 - 4*T2 + 10*T1*T2 - 9*T1^2*T2 - 
      9*T1^3*T2 + 10*T1^4*T2 - 4*T1^5*T2 + 7*T2^2 - 9*T1*T2^2 + T1^2*T2^2 + 
      23*T1^3*T2^2 + T1^4*T2^2 - 9*T1^5*T2^2 + 7*T1^6*T2^2 - 4*T2^3 - 
      9*T1*T2^3 + 23*T1^2*T2^3 - 32*T1^3*T2^3 - 32*T1^4*T2^3 + 23*T1^5*T2^3 - 
      9*T1^6*T2^3 - 4*T1^7*T2^3 + T2^4 + 10*T1*T2^4 + T1^2*T2^4 - 
      32*T1^3*T2^4 + 96*T1^4*T2^4 - 32*T1^5*T2^4 + T1^6*T2^4 + 10*T1^7*T2^4 + 
      T1^8*T2^4 - 4*T1*T2^5 - 9*T1^2*T2^5 + 23*T1^3*T2^5 - 32*T1^4*T2^5 - 
      32*T1^5*T2^5 + 23*T1^6*T2^5 - 9*T1^7*T2^5 - 4*T1^8*T2^5 + 7*T1^2*T2^6 - 
      9*T1^3*T2^6 + T1^4*T2^6 + 23*T1^5*T2^6 + T1^6*T2^6 - 9*T1^7*T2^6 + 
      7*T1^8*T2^6 - 4*T1^3*T2^7 + 10*T1^4*T2^7 - 9*T1^5*T2^7 - 9*T1^6*T2^7 + 
      10*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)/(T1^4*T2^4))}, 
 Knot[12, NonAlternating, 484] -> 
  {((1 - T + T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^3, 
   (1 - 5*T1 + 12*T1^2 - 15*T1^3 + 12*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 34*T1^2*T2 + 15*T1^3*T2 + 15*T1^4*T2 - 34*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 12*T2^2 - 34*T1*T2^2 + 17*T1^2*T2^2 + 
     82*T1^3*T2^2 - 125*T1^4*T2^2 + 82*T1^5*T2^2 + 17*T1^6*T2^2 - 
     34*T1^7*T2^2 + 12*T1^8*T2^2 - 15*T2^3 + 15*T1*T2^3 + 82*T1^2*T2^3 - 
     216*T1^3*T2^3 + 104*T1^4*T2^3 + 104*T1^5*T2^3 - 216*T1^6*T2^3 + 
     82*T1^7*T2^3 + 15*T1^8*T2^3 - 15*T1^9*T2^3 + 12*T2^4 + 15*T1*T2^4 - 
     125*T1^2*T2^4 + 104*T1^3*T2^4 + 231*T1^4*T2^4 - 397*T1^5*T2^4 + 
     231*T1^6*T2^4 + 104*T1^7*T2^4 - 125*T1^8*T2^4 + 15*T1^9*T2^4 + 
     12*T1^10*T2^4 - 5*T2^5 - 34*T1*T2^5 + 82*T1^2*T2^5 + 104*T1^3*T2^5 - 
     397*T1^4*T2^5 + 216*T1^5*T2^5 + 216*T1^6*T2^5 - 397*T1^7*T2^5 + 
     104*T1^8*T2^5 + 82*T1^9*T2^5 - 34*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 + 17*T1^2*T2^6 - 216*T1^3*T2^6 + 231*T1^4*T2^6 + 
     216*T1^5*T2^6 - 480*T1^6*T2^6 + 216*T1^7*T2^6 + 231*T1^8*T2^6 - 
     216*T1^9*T2^6 + 17*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     34*T1^2*T2^7 + 82*T1^3*T2^7 + 104*T1^4*T2^7 - 397*T1^5*T2^7 + 
     216*T1^6*T2^7 + 216*T1^7*T2^7 - 397*T1^8*T2^7 + 104*T1^9*T2^7 + 
     82*T1^10*T2^7 - 34*T1^11*T2^7 - 5*T1^12*T2^7 + 12*T1^2*T2^8 + 
     15*T1^3*T2^8 - 125*T1^4*T2^8 + 104*T1^5*T2^8 + 231*T1^6*T2^8 - 
     397*T1^7*T2^8 + 231*T1^8*T2^8 + 104*T1^9*T2^8 - 125*T1^10*T2^8 + 
     15*T1^11*T2^8 + 12*T1^12*T2^8 - 15*T1^3*T2^9 + 15*T1^4*T2^9 + 
     82*T1^5*T2^9 - 216*T1^6*T2^9 + 104*T1^7*T2^9 + 104*T1^8*T2^9 - 
     216*T1^9*T2^9 + 82*T1^10*T2^9 + 15*T1^11*T2^9 - 15*T1^12*T2^9 + 
     12*T1^4*T2^10 - 34*T1^5*T2^10 + 17*T1^6*T2^10 + 82*T1^7*T2^10 - 
     125*T1^8*T2^10 + 82*T1^9*T2^10 + 17*T1^10*T2^10 - 34*T1^11*T2^10 + 
     12*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 34*T1^7*T2^11 + 
     15*T1^8*T2^11 + 15*T1^9*T2^11 - 34*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 12*T1^8*T2^12 - 
     15*T1^9*T2^12 + 12*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 485] -> 
  {(2 - 8*T + 16*T^2 - 19*T^3 + 16*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (7 - 28*T1 + 54*T1^2 - 63*T1^3 + 54*T1^4 - 28*T1^5 + 7*T1^6 - 28*T2 + 
     84*T1*T2 - 104*T1^2*T2 + 36*T1^3*T2 + 36*T1^4*T2 - 104*T1^5*T2 + 
     84*T1^6*T2 - 28*T1^7*T2 + 54*T2^2 - 104*T1*T2^2 + 232*T1^3*T2^2 - 
     280*T1^4*T2^2 + 232*T1^5*T2^2 - 104*T1^7*T2^2 + 54*T1^8*T2^2 - 63*T2^3 + 
     36*T1*T2^3 + 232*T1^2*T2^3 - 440*T1^3*T2^3 + 150*T1^4*T2^3 + 
     150*T1^5*T2^3 - 440*T1^6*T2^3 + 232*T1^7*T2^3 + 36*T1^8*T2^3 - 
     63*T1^9*T2^3 + 54*T2^4 + 36*T1*T2^4 - 280*T1^2*T2^4 + 150*T1^3*T2^4 + 
     468*T1^4*T2^4 - 628*T1^5*T2^4 + 468*T1^6*T2^4 + 150*T1^7*T2^4 - 
     280*T1^8*T2^4 + 36*T1^9*T2^4 + 54*T1^10*T2^4 - 28*T2^5 - 104*T1*T2^5 + 
     232*T1^2*T2^5 + 150*T1^3*T2^5 - 628*T1^4*T2^5 + 262*T1^5*T2^5 + 
     262*T1^6*T2^5 - 628*T1^7*T2^5 + 150*T1^8*T2^5 + 232*T1^9*T2^5 - 
     104*T1^10*T2^5 - 28*T1^11*T2^5 + 7*T2^6 + 84*T1*T2^6 - 440*T1^3*T2^6 + 
     468*T1^4*T2^6 + 262*T1^5*T2^6 - 540*T1^6*T2^6 + 262*T1^7*T2^6 + 
     468*T1^8*T2^6 - 440*T1^9*T2^6 + 84*T1^11*T2^6 + 7*T1^12*T2^6 - 
     28*T1*T2^7 - 104*T1^2*T2^7 + 232*T1^3*T2^7 + 150*T1^4*T2^7 - 
     628*T1^5*T2^7 + 262*T1^6*T2^7 + 262*T1^7*T2^7 - 628*T1^8*T2^7 + 
     150*T1^9*T2^7 + 232*T1^10*T2^7 - 104*T1^11*T2^7 - 28*T1^12*T2^7 + 
     54*T1^2*T2^8 + 36*T1^3*T2^8 - 280*T1^4*T2^8 + 150*T1^5*T2^8 + 
     468*T1^6*T2^8 - 628*T1^7*T2^8 + 468*T1^8*T2^8 + 150*T1^9*T2^8 - 
     280*T1^10*T2^8 + 36*T1^11*T2^8 + 54*T1^12*T2^8 - 63*T1^3*T2^9 + 
     36*T1^4*T2^9 + 232*T1^5*T2^9 - 440*T1^6*T2^9 + 150*T1^7*T2^9 + 
     150*T1^8*T2^9 - 440*T1^9*T2^9 + 232*T1^10*T2^9 + 36*T1^11*T2^9 - 
     63*T1^12*T2^9 + 54*T1^4*T2^10 - 104*T1^5*T2^10 + 232*T1^7*T2^10 - 
     280*T1^8*T2^10 + 232*T1^9*T2^10 - 104*T1^11*T2^10 + 54*T1^12*T2^10 - 
     28*T1^5*T2^11 + 84*T1^6*T2^11 - 104*T1^7*T2^11 + 36*T1^8*T2^11 + 
     36*T1^9*T2^11 - 104*T1^10*T2^11 + 84*T1^11*T2^11 - 28*T1^12*T2^11 + 
     7*T1^6*T2^12 - 28*T1^7*T2^12 + 54*T1^8*T2^12 - 63*T1^9*T2^12 + 
     54*T1^10*T2^12 - 28*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 486] -> 
  {(2 - 7*T + 12*T^2 - 13*T^3 + 12*T^4 - 7*T^5 + 2*T^6)/T^3, 
   -((7 - 24*T1 + 40*T1^2 - 43*T1^3 + 40*T1^4 - 24*T1^5 + 7*T1^6 - 24*T2 + 
      58*T1*T2 - 53*T1^2*T2 + 9*T1^3*T2 + 9*T1^4*T2 - 53*T1^5*T2 + 
      58*T1^6*T2 - 24*T1^7*T2 + 40*T2^2 - 53*T1*T2^2 - 28*T1^2*T2^2 + 
      122*T1^3*T2^2 - 98*T1^4*T2^2 + 122*T1^5*T2^2 - 28*T1^6*T2^2 - 
      53*T1^7*T2^2 + 40*T1^8*T2^2 - 43*T2^3 + 9*T1*T2^3 + 122*T1^2*T2^3 - 
      172*T1^3*T2^3 + 26*T1^4*T2^3 + 26*T1^5*T2^3 - 172*T1^6*T2^3 + 
      122*T1^7*T2^3 + 9*T1^8*T2^3 - 43*T1^9*T2^3 + 40*T2^4 + 9*T1*T2^4 - 
      98*T1^2*T2^4 + 26*T1^3*T2^4 + 233*T1^4*T2^4 - 295*T1^5*T2^4 + 
      233*T1^6*T2^4 + 26*T1^7*T2^4 - 98*T1^8*T2^4 + 9*T1^9*T2^4 + 
      40*T1^10*T2^4 - 24*T2^5 - 53*T1*T2^5 + 122*T1^2*T2^5 + 26*T1^3*T2^5 - 
      295*T1^4*T2^5 + 182*T1^5*T2^5 + 182*T1^6*T2^5 - 295*T1^7*T2^5 + 
      26*T1^8*T2^5 + 122*T1^9*T2^5 - 53*T1^10*T2^5 - 24*T1^11*T2^5 + 7*T2^6 + 
      58*T1*T2^6 - 28*T1^2*T2^6 - 172*T1^3*T2^6 + 233*T1^4*T2^6 + 
      182*T1^5*T2^6 - 504*T1^6*T2^6 + 182*T1^7*T2^6 + 233*T1^8*T2^6 - 
      172*T1^9*T2^6 - 28*T1^10*T2^6 + 58*T1^11*T2^6 + 7*T1^12*T2^6 - 
      24*T1*T2^7 - 53*T1^2*T2^7 + 122*T1^3*T2^7 + 26*T1^4*T2^7 - 
      295*T1^5*T2^7 + 182*T1^6*T2^7 + 182*T1^7*T2^7 - 295*T1^8*T2^7 + 
      26*T1^9*T2^7 + 122*T1^10*T2^7 - 53*T1^11*T2^7 - 24*T1^12*T2^7 + 
      40*T1^2*T2^8 + 9*T1^3*T2^8 - 98*T1^4*T2^8 + 26*T1^5*T2^8 + 
      233*T1^6*T2^8 - 295*T1^7*T2^8 + 233*T1^8*T2^8 + 26*T1^9*T2^8 - 
      98*T1^10*T2^8 + 9*T1^11*T2^8 + 40*T1^12*T2^8 - 43*T1^3*T2^9 + 
      9*T1^4*T2^9 + 122*T1^5*T2^9 - 172*T1^6*T2^9 + 26*T1^7*T2^9 + 
      26*T1^8*T2^9 - 172*T1^9*T2^9 + 122*T1^10*T2^9 + 9*T1^11*T2^9 - 
      43*T1^12*T2^9 + 40*T1^4*T2^10 - 53*T1^5*T2^10 - 28*T1^6*T2^10 + 
      122*T1^7*T2^10 - 98*T1^8*T2^10 + 122*T1^9*T2^10 - 28*T1^10*T2^10 - 
      53*T1^11*T2^10 + 40*T1^12*T2^10 - 24*T1^5*T2^11 + 58*T1^6*T2^11 - 
      53*T1^7*T2^11 + 9*T1^8*T2^11 + 9*T1^9*T2^11 - 53*T1^10*T2^11 + 
      58*T1^11*T2^11 - 24*T1^12*T2^11 + 7*T1^6*T2^12 - 24*T1^7*T2^12 + 
      40*T1^8*T2^12 - 43*T1^9*T2^12 + 40*T1^10*T2^12 - 24*T1^11*T2^12 + 
      7*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 487] -> 
  {-((1 - T - 4*T^2 + 7*T^3 - 4*T^4 - T^5 + T^6)/T^3), 
   -((2 - 2*T1 - 8*T1^2 + 14*T1^3 - 8*T1^4 - 2*T1^5 + 2*T1^6 - 2*T2 - 
      2*T1*T2 + 16*T1^2*T2 - 9*T1^3*T2 - 9*T1^4*T2 + 16*T1^5*T2 - 2*T1^6*T2 - 
      2*T1^7*T2 - 8*T2^2 + 16*T1*T2^2 + 8*T1^2*T2^2 - 56*T1^3*T2^2 + 
      84*T1^4*T2^2 - 56*T1^5*T2^2 + 8*T1^6*T2^2 + 16*T1^7*T2^2 - 
      8*T1^8*T2^2 + 14*T2^3 - 9*T1*T2^3 - 56*T1^2*T2^3 + 90*T1^3*T2^3 - 
      50*T1^4*T2^3 - 50*T1^5*T2^3 + 90*T1^6*T2^3 - 56*T1^7*T2^3 - 
      9*T1^8*T2^3 + 14*T1^9*T2^3 - 8*T2^4 - 9*T1*T2^4 + 84*T1^2*T2^4 - 
      50*T1^3*T2^4 - 165*T1^4*T2^4 + 291*T1^5*T2^4 - 165*T1^6*T2^4 - 
      50*T1^7*T2^4 + 84*T1^8*T2^4 - 9*T1^9*T2^4 - 8*T1^10*T2^4 - 2*T2^5 + 
      16*T1*T2^5 - 56*T1^2*T2^5 - 50*T1^3*T2^5 + 291*T1^4*T2^5 - 
      158*T1^5*T2^5 - 158*T1^6*T2^5 + 291*T1^7*T2^5 - 50*T1^8*T2^5 - 
      56*T1^9*T2^5 + 16*T1^10*T2^5 - 2*T1^11*T2^5 + 2*T2^6 - 2*T1*T2^6 + 
      8*T1^2*T2^6 + 90*T1^3*T2^6 - 165*T1^4*T2^6 - 158*T1^5*T2^6 + 
      324*T1^6*T2^6 - 158*T1^7*T2^6 - 165*T1^8*T2^6 + 90*T1^9*T2^6 + 
      8*T1^10*T2^6 - 2*T1^11*T2^6 + 2*T1^12*T2^6 - 2*T1*T2^7 + 16*T1^2*T2^7 - 
      56*T1^3*T2^7 - 50*T1^4*T2^7 + 291*T1^5*T2^7 - 158*T1^6*T2^7 - 
      158*T1^7*T2^7 + 291*T1^8*T2^7 - 50*T1^9*T2^7 - 56*T1^10*T2^7 + 
      16*T1^11*T2^7 - 2*T1^12*T2^7 - 8*T1^2*T2^8 - 9*T1^3*T2^8 + 
      84*T1^4*T2^8 - 50*T1^5*T2^8 - 165*T1^6*T2^8 + 291*T1^7*T2^8 - 
      165*T1^8*T2^8 - 50*T1^9*T2^8 + 84*T1^10*T2^8 - 9*T1^11*T2^8 - 
      8*T1^12*T2^8 + 14*T1^3*T2^9 - 9*T1^4*T2^9 - 56*T1^5*T2^9 + 
      90*T1^6*T2^9 - 50*T1^7*T2^9 - 50*T1^8*T2^9 + 90*T1^9*T2^9 - 
      56*T1^10*T2^9 - 9*T1^11*T2^9 + 14*T1^12*T2^9 - 8*T1^4*T2^10 + 
      16*T1^5*T2^10 + 8*T1^6*T2^10 - 56*T1^7*T2^10 + 84*T1^8*T2^10 - 
      56*T1^9*T2^10 + 8*T1^10*T2^10 + 16*T1^11*T2^10 - 8*T1^12*T2^10 - 
      2*T1^5*T2^11 - 2*T1^6*T2^11 + 16*T1^7*T2^11 - 9*T1^8*T2^11 - 
      9*T1^9*T2^11 + 16*T1^10*T2^11 - 2*T1^11*T2^11 - 2*T1^12*T2^11 + 
      2*T1^6*T2^12 - 2*T1^7*T2^12 - 8*T1^8*T2^12 + 14*T1^9*T2^12 - 
      8*T1^10*T2^12 - 2*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 488] -> 
  {(1 - T - 2*T^2 + 5*T^3 - 2*T^4 - T^5 + T^6)/T^3, 
   -((1 - T1 - 2*T1^2 + 5*T1^3 - 2*T1^4 - T1^5 + T1^6 - T2 - 2*T1*T2 + 
      7*T1^2*T2 - 6*T1^3*T2 - 6*T1^4*T2 + 7*T1^5*T2 - 2*T1^6*T2 - T1^7*T2 - 
      2*T2^2 + 7*T1*T2^2 - 3*T1^2*T2^2 - 8*T1^3*T2^2 + 19*T1^4*T2^2 - 
      8*T1^5*T2^2 - 3*T1^6*T2^2 + 7*T1^7*T2^2 - 2*T1^8*T2^2 + 5*T2^3 - 
      6*T1*T2^3 - 8*T1^2*T2^3 + 10*T1^3*T2^3 - 6*T1^4*T2^3 - 6*T1^5*T2^3 + 
      10*T1^6*T2^3 - 8*T1^7*T2^3 - 6*T1^8*T2^3 + 5*T1^9*T2^3 - 2*T2^4 - 
      6*T1*T2^4 + 19*T1^2*T2^4 - 6*T1^3*T2^4 - 12*T1^4*T2^4 + 22*T1^5*T2^4 - 
      12*T1^6*T2^4 - 6*T1^7*T2^4 + 19*T1^8*T2^4 - 6*T1^9*T2^4 - 
      2*T1^10*T2^4 - T2^5 + 7*T1*T2^5 - 8*T1^2*T2^5 - 6*T1^3*T2^5 + 
      22*T1^4*T2^5 - 12*T1^5*T2^5 - 12*T1^6*T2^5 + 22*T1^7*T2^5 - 
      6*T1^8*T2^5 - 8*T1^9*T2^5 + 7*T1^10*T2^5 - T1^11*T2^5 + T2^6 - 
      2*T1*T2^6 - 3*T1^2*T2^6 + 10*T1^3*T2^6 - 12*T1^4*T2^6 - 12*T1^5*T2^6 + 
      24*T1^6*T2^6 - 12*T1^7*T2^6 - 12*T1^8*T2^6 + 10*T1^9*T2^6 - 
      3*T1^10*T2^6 - 2*T1^11*T2^6 + T1^12*T2^6 - T1*T2^7 + 7*T1^2*T2^7 - 
      8*T1^3*T2^7 - 6*T1^4*T2^7 + 22*T1^5*T2^7 - 12*T1^6*T2^7 - 
      12*T1^7*T2^7 + 22*T1^8*T2^7 - 6*T1^9*T2^7 - 8*T1^10*T2^7 + 
      7*T1^11*T2^7 - T1^12*T2^7 - 2*T1^2*T2^8 - 6*T1^3*T2^8 + 19*T1^4*T2^8 - 
      6*T1^5*T2^8 - 12*T1^6*T2^8 + 22*T1^7*T2^8 - 12*T1^8*T2^8 - 
      6*T1^9*T2^8 + 19*T1^10*T2^8 - 6*T1^11*T2^8 - 2*T1^12*T2^8 + 
      5*T1^3*T2^9 - 6*T1^4*T2^9 - 8*T1^5*T2^9 + 10*T1^6*T2^9 - 6*T1^7*T2^9 - 
      6*T1^8*T2^9 + 10*T1^9*T2^9 - 8*T1^10*T2^9 - 6*T1^11*T2^9 + 
      5*T1^12*T2^9 - 2*T1^4*T2^10 + 7*T1^5*T2^10 - 3*T1^6*T2^10 - 
      8*T1^7*T2^10 + 19*T1^8*T2^10 - 8*T1^9*T2^10 - 3*T1^10*T2^10 + 
      7*T1^11*T2^10 - 2*T1^12*T2^10 - T1^5*T2^11 - 2*T1^6*T2^11 + 
      7*T1^7*T2^11 - 6*T1^8*T2^11 - 6*T1^9*T2^11 + 7*T1^10*T2^11 - 
      2*T1^11*T2^11 - T1^12*T2^11 + T1^6*T2^12 - T1^7*T2^12 - 2*T1^8*T2^12 + 
      5*T1^9*T2^12 - 2*T1^10*T2^12 - T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, NonAlternating, 489] -> 
  {((2 - 3*T + 2*T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^3, 
   (9 - 48*T1 + 120*T1^2 - 157*T1^3 + 120*T1^4 - 48*T1^5 + 9*T1^6 - 48*T2 + 
     210*T1*T2 - 389*T1^2*T2 + 201*T1^3*T2 + 201*T1^4*T2 - 389*T1^5*T2 + 
     210*T1^6*T2 - 48*T1^7*T2 + 120*T2^2 - 389*T1*T2^2 + 352*T1^2*T2^2 + 
     739*T1^3*T2^2 - 1376*T1^4*T2^2 + 739*T1^5*T2^2 + 352*T1^6*T2^2 - 
     389*T1^7*T2^2 + 120*T1^8*T2^2 - 157*T2^3 + 201*T1*T2^3 + 739*T1^2*T2^3 - 
     2756*T1^3*T2^3 + 1545*T1^4*T2^3 + 1545*T1^5*T2^3 - 2756*T1^6*T2^3 + 
     739*T1^7*T2^3 + 201*T1^8*T2^3 - 157*T1^9*T2^3 + 120*T2^4 + 201*T1*T2^4 - 
     1376*T1^2*T2^4 + 1545*T1^3*T2^4 + 4309*T1^4*T2^4 - 7737*T1^5*T2^4 + 
     4309*T1^6*T2^4 + 1545*T1^7*T2^4 - 1376*T1^8*T2^4 + 201*T1^9*T2^4 + 
     120*T1^10*T2^4 - 48*T2^5 - 389*T1*T2^5 + 739*T1^2*T2^5 + 
     1545*T1^3*T2^5 - 7737*T1^4*T2^5 + 4440*T1^5*T2^5 + 4440*T1^6*T2^5 - 
     7737*T1^7*T2^5 + 1545*T1^8*T2^5 + 739*T1^9*T2^5 - 389*T1^10*T2^5 - 
     48*T1^11*T2^5 + 9*T2^6 + 210*T1*T2^6 + 352*T1^2*T2^6 - 2756*T1^3*T2^6 + 
     4309*T1^4*T2^6 + 4440*T1^5*T2^6 - 9780*T1^6*T2^6 + 4440*T1^7*T2^6 + 
     4309*T1^8*T2^6 - 2756*T1^9*T2^6 + 352*T1^10*T2^6 + 210*T1^11*T2^6 + 
     9*T1^12*T2^6 - 48*T1*T2^7 - 389*T1^2*T2^7 + 739*T1^3*T2^7 + 
     1545*T1^4*T2^7 - 7737*T1^5*T2^7 + 4440*T1^6*T2^7 + 4440*T1^7*T2^7 - 
     7737*T1^8*T2^7 + 1545*T1^9*T2^7 + 739*T1^10*T2^7 - 389*T1^11*T2^7 - 
     48*T1^12*T2^7 + 120*T1^2*T2^8 + 201*T1^3*T2^8 - 1376*T1^4*T2^8 + 
     1545*T1^5*T2^8 + 4309*T1^6*T2^8 - 7737*T1^7*T2^8 + 4309*T1^8*T2^8 + 
     1545*T1^9*T2^8 - 1376*T1^10*T2^8 + 201*T1^11*T2^8 + 120*T1^12*T2^8 - 
     157*T1^3*T2^9 + 201*T1^4*T2^9 + 739*T1^5*T2^9 - 2756*T1^6*T2^9 + 
     1545*T1^7*T2^9 + 1545*T1^8*T2^9 - 2756*T1^9*T2^9 + 739*T1^10*T2^9 + 
     201*T1^11*T2^9 - 157*T1^12*T2^9 + 120*T1^4*T2^10 - 389*T1^5*T2^10 + 
     352*T1^6*T2^10 + 739*T1^7*T2^10 - 1376*T1^8*T2^10 + 739*T1^9*T2^10 + 
     352*T1^10*T2^10 - 389*T1^11*T2^10 + 120*T1^12*T2^10 - 48*T1^5*T2^11 + 
     210*T1^6*T2^11 - 389*T1^7*T2^11 + 201*T1^8*T2^11 + 201*T1^9*T2^11 - 
     389*T1^10*T2^11 + 210*T1^11*T2^11 - 48*T1^12*T2^11 + 9*T1^6*T2^12 - 
     48*T1^7*T2^12 + 120*T1^8*T2^12 - 157*T1^9*T2^12 + 120*T1^10*T2^12 - 
     48*T1^11*T2^12 + 9*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 490] -> {(5 - 19*T + 29*T^2 - 19*T^3 + 5*T^4)/T^2, 
   (2*(5 - 17*T1 + 24*T1^2 - 17*T1^3 + 5*T1^4 - 17*T2 + 37*T1*T2 - 
      21*T1^2*T2 - 21*T1^3*T2 + 37*T1^4*T2 - 17*T1^5*T2 + 24*T2^2 - 
      21*T1*T2^2 - 33*T1^2*T2^2 + 64*T1^3*T2^2 - 33*T1^4*T2^2 - 
      21*T1^5*T2^2 + 24*T1^6*T2^2 - 17*T2^3 - 21*T1*T2^3 + 64*T1^2*T2^3 - 
      25*T1^3*T2^3 - 25*T1^4*T2^3 + 64*T1^5*T2^3 - 21*T1^6*T2^3 - 
      17*T1^7*T2^3 + 5*T2^4 + 37*T1*T2^4 - 33*T1^2*T2^4 - 25*T1^3*T2^4 + 
      24*T1^4*T2^4 - 25*T1^5*T2^4 - 33*T1^6*T2^4 + 37*T1^7*T2^4 + 
      5*T1^8*T2^4 - 17*T1*T2^5 - 21*T1^2*T2^5 + 64*T1^3*T2^5 - 25*T1^4*T2^5 - 
      25*T1^5*T2^5 + 64*T1^6*T2^5 - 21*T1^7*T2^5 - 17*T1^8*T2^5 + 
      24*T1^2*T2^6 - 21*T1^3*T2^6 - 33*T1^4*T2^6 + 64*T1^5*T2^6 - 
      33*T1^6*T2^6 - 21*T1^7*T2^6 + 24*T1^8*T2^6 - 17*T1^3*T2^7 + 
      37*T1^4*T2^7 - 21*T1^5*T2^7 - 21*T1^6*T2^7 + 37*T1^7*T2^7 - 
      17*T1^8*T2^7 + 5*T1^4*T2^8 - 17*T1^5*T2^8 + 24*T1^6*T2^8 - 
      17*T1^7*T2^8 + 5*T1^8*T2^8))/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 491] -> 
  {-(((1 - T + T^2)*(1 - 6*T + 9*T^2 - 6*T^3 + T^4))/T^3), 
   -((T1 - T1^2 - T1^3 + T1^4 + T2 - 15*T1*T2 + 48*T1^2*T2 - 59*T1^3*T2 + 
      48*T1^4*T2 - 15*T1^5*T2 + T1^6*T2 - T2^2 + 48*T1*T2^2 - 174*T1^2*T2^2 + 
      84*T1^3*T2^2 + 84*T1^4*T2^2 - 174*T1^5*T2^2 + 48*T1^6*T2^2 - 
      T1^7*T2^2 - T2^3 - 59*T1*T2^3 + 84*T1^2*T2^3 + 649*T1^3*T2^3 - 
      1013*T1^4*T2^3 + 649*T1^5*T2^3 + 84*T1^6*T2^3 - 59*T1^7*T2^3 - 
      T1^8*T2^3 + T2^4 + 48*T1*T2^4 + 84*T1^2*T2^4 - 1013*T1^3*T2^4 + 
      532*T1^4*T2^4 + 532*T1^5*T2^4 - 1013*T1^6*T2^4 + 84*T1^7*T2^4 + 
      48*T1^8*T2^4 + T1^9*T2^4 - 15*T1*T2^5 - 174*T1^2*T2^5 + 649*T1^3*T2^5 + 
      532*T1^4*T2^5 - 1104*T1^5*T2^5 + 532*T1^6*T2^5 + 649*T1^7*T2^5 - 
      174*T1^8*T2^5 - 15*T1^9*T2^5 + T1*T2^6 + 48*T1^2*T2^6 + 84*T1^3*T2^6 - 
      1013*T1^4*T2^6 + 532*T1^5*T2^6 + 532*T1^6*T2^6 - 1013*T1^7*T2^6 + 
      84*T1^8*T2^6 + 48*T1^9*T2^6 + T1^10*T2^6 - T1^2*T2^7 - 59*T1^3*T2^7 + 
      84*T1^4*T2^7 + 649*T1^5*T2^7 - 1013*T1^6*T2^7 + 649*T1^7*T2^7 + 
      84*T1^8*T2^7 - 59*T1^9*T2^7 - T1^10*T2^7 - T1^3*T2^8 + 48*T1^4*T2^8 - 
      174*T1^5*T2^8 + 84*T1^6*T2^8 + 84*T1^7*T2^8 - 174*T1^8*T2^8 + 
      48*T1^9*T2^8 - T1^10*T2^8 + T1^4*T2^9 - 15*T1^5*T2^9 + 48*T1^6*T2^9 - 
      59*T1^7*T2^9 + 48*T1^8*T2^9 - 15*T1^9*T2^9 + T1^10*T2^9 + T1^6*T2^10 - 
      T1^7*T2^10 - T1^8*T2^10 + T1^9*T2^10)/(T1^5*T2^5))}, 
 Knot[12, NonAlternating, 492] -> 
  {-((2 - 9*T + 20*T^2 - 27*T^3 + 20*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((1 - 4*T1 + 10*T1^2 - 15*T1^3 + 10*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 
      12*T1*T2 - 24*T1^2*T2 + 20*T1^3*T2 + 20*T1^4*T2 - 24*T1^5*T2 + 
      12*T1^6*T2 - 4*T1^7*T2 + 10*T2^2 - 24*T1*T2^2 + 60*T1^2*T2^2 - 
      79*T1^3*T2^2 + 26*T1^4*T2^2 - 79*T1^5*T2^2 + 60*T1^6*T2^2 - 
      24*T1^7*T2^2 + 10*T1^8*T2^2 - 15*T2^3 + 20*T1*T2^3 - 79*T1^2*T2^3 + 
      92*T1^3*T2^3 + 52*T1^4*T2^3 + 52*T1^5*T2^3 + 92*T1^6*T2^3 - 
      79*T1^7*T2^3 + 20*T1^8*T2^3 - 15*T1^9*T2^3 + 10*T2^4 + 20*T1*T2^4 + 
      26*T1^2*T2^4 + 52*T1^3*T2^4 - 269*T1^4*T2^4 - 15*T1^5*T2^4 - 
      269*T1^6*T2^4 + 52*T1^7*T2^4 + 26*T1^8*T2^4 + 20*T1^9*T2^4 + 
      10*T1^10*T2^4 - 4*T2^5 - 24*T1*T2^5 - 79*T1^2*T2^5 + 52*T1^3*T2^5 - 
      15*T1^4*T2^5 + 352*T1^5*T2^5 + 352*T1^6*T2^5 - 15*T1^7*T2^5 + 
      52*T1^8*T2^5 - 79*T1^9*T2^5 - 24*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 
      12*T1*T2^6 + 60*T1^2*T2^6 + 92*T1^3*T2^6 - 269*T1^4*T2^6 + 
      352*T1^5*T2^6 - 1164*T1^6*T2^6 + 352*T1^7*T2^6 - 269*T1^8*T2^6 + 
      92*T1^9*T2^6 + 60*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 
      24*T1^2*T2^7 - 79*T1^3*T2^7 + 52*T1^4*T2^7 - 15*T1^5*T2^7 + 
      352*T1^6*T2^7 + 352*T1^7*T2^7 - 15*T1^8*T2^7 + 52*T1^9*T2^7 - 
      79*T1^10*T2^7 - 24*T1^11*T2^7 - 4*T1^12*T2^7 + 10*T1^2*T2^8 + 
      20*T1^3*T2^8 + 26*T1^4*T2^8 + 52*T1^5*T2^8 - 269*T1^6*T2^8 - 
      15*T1^7*T2^8 - 269*T1^8*T2^8 + 52*T1^9*T2^8 + 26*T1^10*T2^8 + 
      20*T1^11*T2^8 + 10*T1^12*T2^8 - 15*T1^3*T2^9 + 20*T1^4*T2^9 - 
      79*T1^5*T2^9 + 92*T1^6*T2^9 + 52*T1^7*T2^9 + 52*T1^8*T2^9 + 
      92*T1^9*T2^9 - 79*T1^10*T2^9 + 20*T1^11*T2^9 - 15*T1^12*T2^9 + 
      10*T1^4*T2^10 - 24*T1^5*T2^10 + 60*T1^6*T2^10 - 79*T1^7*T2^10 + 
      26*T1^8*T2^10 - 79*T1^9*T2^10 + 60*T1^10*T2^10 - 24*T1^11*T2^10 + 
      10*T1^12*T2^10 - 4*T1^5*T2^11 + 12*T1^6*T2^11 - 24*T1^7*T2^11 + 
      20*T1^8*T2^11 + 20*T1^9*T2^11 - 24*T1^10*T2^11 + 12*T1^11*T2^11 - 
      4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 10*T1^8*T2^12 - 
      15*T1^9*T2^12 + 10*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, NonAlternating, 493] -> 
  {-((2 - 9*T + 21*T^2 - 29*T^3 + 21*T^4 - 9*T^5 + 2*T^6)/T^3), 
   (1 - 5*T1 + 12*T1^2 - 17*T1^3 + 12*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 36*T1^2*T2 + 26*T1^3*T2 + 26*T1^4*T2 - 36*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 12*T2^2 - 36*T1*T2^2 + 40*T1^2*T2^2 + 
     16*T1^3*T2^2 - 110*T1^4*T2^2 + 16*T1^5*T2^2 + 40*T1^6*T2^2 - 
     36*T1^7*T2^2 + 12*T1^8*T2^2 - 17*T2^3 + 26*T1*T2^3 + 16*T1^2*T2^3 - 
     102*T1^3*T2^3 + 146*T1^4*T2^3 + 146*T1^5*T2^3 - 102*T1^6*T2^3 + 
     16*T1^7*T2^3 + 26*T1^8*T2^3 - 17*T1^9*T2^3 + 12*T2^4 + 26*T1*T2^4 - 
     110*T1^2*T2^4 + 146*T1^3*T2^4 - 53*T1^4*T2^4 - 339*T1^5*T2^4 - 
     53*T1^6*T2^4 + 146*T1^7*T2^4 - 110*T1^8*T2^4 + 26*T1^9*T2^4 + 
     12*T1^10*T2^4 - 5*T2^5 - 36*T1*T2^5 + 16*T1^2*T2^5 + 146*T1^3*T2^5 - 
     339*T1^4*T2^5 + 454*T1^5*T2^5 + 454*T1^6*T2^5 - 339*T1^7*T2^5 + 
     146*T1^8*T2^5 + 16*T1^9*T2^5 - 36*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 + 40*T1^2*T2^6 - 102*T1^3*T2^6 - 53*T1^4*T2^6 + 
     454*T1^5*T2^6 - 1272*T1^6*T2^6 + 454*T1^7*T2^6 - 53*T1^8*T2^6 - 
     102*T1^9*T2^6 + 40*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     36*T1^2*T2^7 + 16*T1^3*T2^7 + 146*T1^4*T2^7 - 339*T1^5*T2^7 + 
     454*T1^6*T2^7 + 454*T1^7*T2^7 - 339*T1^8*T2^7 + 146*T1^9*T2^7 + 
     16*T1^10*T2^7 - 36*T1^11*T2^7 - 5*T1^12*T2^7 + 12*T1^2*T2^8 + 
     26*T1^3*T2^8 - 110*T1^4*T2^8 + 146*T1^5*T2^8 - 53*T1^6*T2^8 - 
     339*T1^7*T2^8 - 53*T1^8*T2^8 + 146*T1^9*T2^8 - 110*T1^10*T2^8 + 
     26*T1^11*T2^8 + 12*T1^12*T2^8 - 17*T1^3*T2^9 + 26*T1^4*T2^9 + 
     16*T1^5*T2^9 - 102*T1^6*T2^9 + 146*T1^7*T2^9 + 146*T1^8*T2^9 - 
     102*T1^9*T2^9 + 16*T1^10*T2^9 + 26*T1^11*T2^9 - 17*T1^12*T2^9 + 
     12*T1^4*T2^10 - 36*T1^5*T2^10 + 40*T1^6*T2^10 + 16*T1^7*T2^10 - 
     110*T1^8*T2^10 + 16*T1^9*T2^10 + 40*T1^10*T2^10 - 36*T1^11*T2^10 + 
     12*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 36*T1^7*T2^11 + 
     26*T1^8*T2^11 + 26*T1^9*T2^11 - 36*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 12*T1^8*T2^12 - 
     17*T1^9*T2^12 + 12*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 494] -> 
  {((1 - 3*T + T^2)*(1 - T + T^2)*(1 - T - T^2 - T^3 + T^4))/T^4, 
   (2 - 10*T1 + 16*T1^2 - 12*T1^3 + 10*T1^4 - 12*T1^5 + 16*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 30*T1^2*T2 - 20*T1^3*T2 + 10*T1^4*T2 + 
     10*T1^5*T2 - 20*T1^6*T2 - 30*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     16*T2^2 - 30*T1*T2^2 - 104*T1^2*T2^2 + 218*T1^3*T2^2 - 84*T1^4*T2^2 + 
     48*T1^5*T2^2 - 84*T1^6*T2^2 + 218*T1^7*T2^2 - 104*T1^8*T2^2 - 
     30*T1^9*T2^2 + 16*T1^10*T2^2 - 12*T2^3 - 20*T1*T2^3 + 218*T1^2*T2^3 - 
     168*T1^3*T2^3 - 170*T1^4*T2^3 + 68*T1^5*T2^3 + 68*T1^6*T2^3 - 
     170*T1^7*T2^3 - 168*T1^8*T2^3 + 218*T1^9*T2^3 - 20*T1^10*T2^3 - 
     12*T1^11*T2^3 + 10*T2^4 + 10*T1*T2^4 - 84*T1^2*T2^4 - 170*T1^3*T2^4 + 
     437*T1^4*T2^4 - 120*T1^5*T2^4 + 43*T1^6*T2^4 - 120*T1^7*T2^4 + 
     437*T1^8*T2^4 - 170*T1^9*T2^4 - 84*T1^10*T2^4 + 10*T1^11*T2^4 + 
     10*T1^12*T2^4 - 12*T2^5 + 10*T1*T2^5 + 48*T1^2*T2^5 + 68*T1^3*T2^5 - 
     120*T1^4*T2^5 - 124*T1^5*T2^5 + 43*T1^6*T2^5 + 43*T1^7*T2^5 - 
     124*T1^8*T2^5 - 120*T1^9*T2^5 + 68*T1^10*T2^5 + 48*T1^11*T2^5 + 
     10*T1^12*T2^5 - 12*T1^13*T2^5 + 16*T2^6 - 20*T1*T2^6 - 84*T1^2*T2^6 + 
     68*T1^3*T2^6 + 43*T1^4*T2^6 + 43*T1^5*T2^6 - 21*T1^6*T2^6 + 
     29*T1^7*T2^6 - 21*T1^8*T2^6 + 43*T1^9*T2^6 + 43*T1^10*T2^6 + 
     68*T1^11*T2^6 - 84*T1^12*T2^6 - 20*T1^13*T2^6 + 16*T1^14*T2^6 - 
     10*T2^7 - 30*T1*T2^7 + 218*T1^2*T2^7 - 170*T1^3*T2^7 - 120*T1^4*T2^7 + 
     43*T1^5*T2^7 + 29*T1^6*T2^7 - 4*T1^7*T2^7 - 4*T1^8*T2^7 + 29*T1^9*T2^7 + 
     43*T1^10*T2^7 - 120*T1^11*T2^7 - 170*T1^12*T2^7 + 218*T1^13*T2^7 - 
     30*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 - 104*T1^2*T2^8 - 
     168*T1^3*T2^8 + 437*T1^4*T2^8 - 124*T1^5*T2^8 - 21*T1^6*T2^8 - 
     4*T1^7*T2^8 - 36*T1^8*T2^8 - 4*T1^9*T2^8 - 21*T1^10*T2^8 - 
     124*T1^11*T2^8 + 437*T1^12*T2^8 - 168*T1^13*T2^8 - 104*T1^14*T2^8 + 
     40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 30*T1^2*T2^9 + 
     218*T1^3*T2^9 - 170*T1^4*T2^9 - 120*T1^5*T2^9 + 43*T1^6*T2^9 + 
     29*T1^7*T2^9 - 4*T1^8*T2^9 - 4*T1^9*T2^9 + 29*T1^10*T2^9 + 
     43*T1^11*T2^9 - 120*T1^12*T2^9 - 170*T1^13*T2^9 + 218*T1^14*T2^9 - 
     30*T1^15*T2^9 - 10*T1^16*T2^9 + 16*T1^2*T2^10 - 20*T1^3*T2^10 - 
     84*T1^4*T2^10 + 68*T1^5*T2^10 + 43*T1^6*T2^10 + 43*T1^7*T2^10 - 
     21*T1^8*T2^10 + 29*T1^9*T2^10 - 21*T1^10*T2^10 + 43*T1^11*T2^10 + 
     43*T1^12*T2^10 + 68*T1^13*T2^10 - 84*T1^14*T2^10 - 20*T1^15*T2^10 + 
     16*T1^16*T2^10 - 12*T1^3*T2^11 + 10*T1^4*T2^11 + 48*T1^5*T2^11 + 
     68*T1^6*T2^11 - 120*T1^7*T2^11 - 124*T1^8*T2^11 + 43*T1^9*T2^11 + 
     43*T1^10*T2^11 - 124*T1^11*T2^11 - 120*T1^12*T2^11 + 68*T1^13*T2^11 + 
     48*T1^14*T2^11 + 10*T1^15*T2^11 - 12*T1^16*T2^11 + 10*T1^4*T2^12 + 
     10*T1^5*T2^12 - 84*T1^6*T2^12 - 170*T1^7*T2^12 + 437*T1^8*T2^12 - 
     120*T1^9*T2^12 + 43*T1^10*T2^12 - 120*T1^11*T2^12 + 437*T1^12*T2^12 - 
     170*T1^13*T2^12 - 84*T1^14*T2^12 + 10*T1^15*T2^12 + 10*T1^16*T2^12 - 
     12*T1^5*T2^13 - 20*T1^6*T2^13 + 218*T1^7*T2^13 - 168*T1^8*T2^13 - 
     170*T1^9*T2^13 + 68*T1^10*T2^13 + 68*T1^11*T2^13 - 170*T1^12*T2^13 - 
     168*T1^13*T2^13 + 218*T1^14*T2^13 - 20*T1^15*T2^13 - 12*T1^16*T2^13 + 
     16*T1^6*T2^14 - 30*T1^7*T2^14 - 104*T1^8*T2^14 + 218*T1^9*T2^14 - 
     84*T1^10*T2^14 + 48*T1^11*T2^14 - 84*T1^12*T2^14 + 218*T1^13*T2^14 - 
     104*T1^14*T2^14 - 30*T1^15*T2^14 + 16*T1^16*T2^14 - 10*T1^7*T2^15 + 
     40*T1^8*T2^15 - 30*T1^9*T2^15 - 20*T1^10*T2^15 + 10*T1^11*T2^15 + 
     10*T1^12*T2^15 - 20*T1^13*T2^15 - 30*T1^14*T2^15 + 40*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)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 495] -> {(1 - T + T^2)^3/T^3, 
   -((1 - 3*T1 + 6*T1^2 - 7*T1^3 + 6*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 - 
      9*T1^2*T2 + 3*T1^3*T2 + 3*T1^4*T2 - 9*T1^5*T2 + 6*T1^6*T2 - 3*T1^7*T2 + 
      6*T2^2 - 9*T1*T2^2 + 8*T1^2*T2^2 + 16*T1^3*T2^2 - 26*T1^4*T2^2 + 
      16*T1^5*T2^2 + 8*T1^6*T2^2 - 9*T1^7*T2^2 + 6*T1^8*T2^2 - 7*T2^3 + 
      3*T1*T2^3 + 16*T1^2*T2^3 - 50*T1^3*T2^3 + 31*T1^4*T2^3 + 31*T1^5*T2^3 - 
      50*T1^6*T2^3 + 16*T1^7*T2^3 + 3*T1^8*T2^3 - 7*T1^9*T2^3 + 6*T2^4 + 
      3*T1*T2^4 - 26*T1^2*T2^4 + 31*T1^3*T2^4 + 18*T1^4*T2^4 - 84*T1^5*T2^4 + 
      18*T1^6*T2^4 + 31*T1^7*T2^4 - 26*T1^8*T2^4 + 3*T1^9*T2^4 + 
      6*T1^10*T2^4 - 3*T2^5 - 9*T1*T2^5 + 16*T1^2*T2^5 + 31*T1^3*T2^5 - 
      84*T1^4*T2^5 + 86*T1^5*T2^5 + 86*T1^6*T2^5 - 84*T1^7*T2^5 + 
      31*T1^8*T2^5 + 16*T1^9*T2^5 - 9*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 
      6*T1*T2^6 + 8*T1^2*T2^6 - 50*T1^3*T2^6 + 18*T1^4*T2^6 + 86*T1^5*T2^6 - 
      240*T1^6*T2^6 + 86*T1^7*T2^6 + 18*T1^8*T2^6 - 50*T1^9*T2^6 + 
      8*T1^10*T2^6 + 6*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 - 9*T1^2*T2^7 + 
      16*T1^3*T2^7 + 31*T1^4*T2^7 - 84*T1^5*T2^7 + 86*T1^6*T2^7 + 
      86*T1^7*T2^7 - 84*T1^8*T2^7 + 31*T1^9*T2^7 + 16*T1^10*T2^7 - 
      9*T1^11*T2^7 - 3*T1^12*T2^7 + 6*T1^2*T2^8 + 3*T1^3*T2^8 - 
      26*T1^4*T2^8 + 31*T1^5*T2^8 + 18*T1^6*T2^8 - 84*T1^7*T2^8 + 
      18*T1^8*T2^8 + 31*T1^9*T2^8 - 26*T1^10*T2^8 + 3*T1^11*T2^8 + 
      6*T1^12*T2^8 - 7*T1^3*T2^9 + 3*T1^4*T2^9 + 16*T1^5*T2^9 - 
      50*T1^6*T2^9 + 31*T1^7*T2^9 + 31*T1^8*T2^9 - 50*T1^9*T2^9 + 
      16*T1^10*T2^9 + 3*T1^11*T2^9 - 7*T1^12*T2^9 + 6*T1^4*T2^10 - 
      9*T1^5*T2^10 + 8*T1^6*T2^10 + 16*T1^7*T2^10 - 26*T1^8*T2^10 + 
      16*T1^9*T2^10 + 8*T1^10*T2^10 - 9*T1^11*T2^10 + 6*T1^12*T2^10 - 
      3*T1^5*T2^11 + 6*T1^6*T2^11 - 9*T1^7*T2^11 + 3*T1^8*T2^11 + 
      3*T1^9*T2^11 - 9*T1^10*T2^11 + 6*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)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 496] -> 
  {-(((1 - T + T^2)*(1 - 10*T + 17*T^2 - 10*T^3 + T^4))/T^3), 
   -((2 - 22*T1 + 56*T1^2 - 74*T1^3 + 56*T1^4 - 22*T1^5 + 2*T1^6 - 22*T2 + 
      230*T1*T2 - 378*T1^2*T2 + 196*T1^3*T2 + 196*T1^4*T2 - 378*T1^5*T2 + 
      230*T1^6*T2 - 22*T1^7*T2 + 56*T2^2 - 378*T1*T2^2 - 1225*T1^2*T2^2 + 
      4462*T1^3*T2^2 - 6255*T1^4*T2^2 + 4462*T1^5*T2^2 - 1225*T1^6*T2^2 - 
      378*T1^7*T2^2 + 56*T1^8*T2^2 - 74*T2^3 + 196*T1*T2^3 + 4462*T1^2*T2^3 - 
      8248*T1^3*T2^3 + 4475*T1^4*T2^3 + 4475*T1^5*T2^3 - 8248*T1^6*T2^3 + 
      4462*T1^7*T2^3 + 196*T1^8*T2^3 - 74*T1^9*T2^3 + 56*T2^4 + 196*T1*T2^4 - 
      6255*T1^2*T2^4 + 4475*T1^3*T2^4 + 6859*T1^4*T2^4 - 14439*T1^5*T2^4 + 
      6859*T1^6*T2^4 + 4475*T1^7*T2^4 - 6255*T1^8*T2^4 + 196*T1^9*T2^4 + 
      56*T1^10*T2^4 - 22*T2^5 - 378*T1*T2^5 + 4462*T1^2*T2^5 + 
      4475*T1^3*T2^5 - 14439*T1^4*T2^5 + 8926*T1^5*T2^5 + 8926*T1^6*T2^5 - 
      14439*T1^7*T2^5 + 4475*T1^8*T2^5 + 4462*T1^9*T2^5 - 378*T1^10*T2^5 - 
      22*T1^11*T2^5 + 2*T2^6 + 230*T1*T2^6 - 1225*T1^2*T2^6 - 
      8248*T1^3*T2^6 + 6859*T1^4*T2^6 + 8926*T1^5*T2^6 - 20124*T1^6*T2^6 + 
      8926*T1^7*T2^6 + 6859*T1^8*T2^6 - 8248*T1^9*T2^6 - 1225*T1^10*T2^6 + 
      230*T1^11*T2^6 + 2*T1^12*T2^6 - 22*T1*T2^7 - 378*T1^2*T2^7 + 
      4462*T1^3*T2^7 + 4475*T1^4*T2^7 - 14439*T1^5*T2^7 + 8926*T1^6*T2^7 + 
      8926*T1^7*T2^7 - 14439*T1^8*T2^7 + 4475*T1^9*T2^7 + 4462*T1^10*T2^7 - 
      378*T1^11*T2^7 - 22*T1^12*T2^7 + 56*T1^2*T2^8 + 196*T1^3*T2^8 - 
      6255*T1^4*T2^8 + 4475*T1^5*T2^8 + 6859*T1^6*T2^8 - 14439*T1^7*T2^8 + 
      6859*T1^8*T2^8 + 4475*T1^9*T2^8 - 6255*T1^10*T2^8 + 196*T1^11*T2^8 + 
      56*T1^12*T2^8 - 74*T1^3*T2^9 + 196*T1^4*T2^9 + 4462*T1^5*T2^9 - 
      8248*T1^6*T2^9 + 4475*T1^7*T2^9 + 4475*T1^8*T2^9 - 8248*T1^9*T2^9 + 
      4462*T1^10*T2^9 + 196*T1^11*T2^9 - 74*T1^12*T2^9 + 56*T1^4*T2^10 - 
      378*T1^5*T2^10 - 1225*T1^6*T2^10 + 4462*T1^7*T2^10 - 6255*T1^8*T2^10 + 
      4462*T1^9*T2^10 - 1225*T1^10*T2^10 - 378*T1^11*T2^10 + 56*T1^12*T2^10 - 
      22*T1^5*T2^11 + 230*T1^6*T2^11 - 378*T1^7*T2^11 + 196*T1^8*T2^11 + 
      196*T1^9*T2^11 - 378*T1^10*T2^11 + 230*T1^11*T2^11 - 22*T1^12*T2^11 + 
      2*T1^6*T2^12 - 22*T1^7*T2^12 + 56*T1^8*T2^12 - 74*T1^9*T2^12 + 
      56*T1^10*T2^12 - 22*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 497] -> 
  {-((1 - 9*T + 25*T^2 - 35*T^3 + 25*T^4 - 9*T^5 + T^6)/T^3), 
   (23 - 77*T1 + 109*T1^2 - 77*T1^3 + 23*T1^4 - 77*T2 + 190*T1*T2 - 
     112*T1^2*T2 - 112*T1^3*T2 + 190*T1^4*T2 - 77*T1^5*T2 + 109*T2^2 - 
     112*T1*T2^2 - 356*T1^2*T2^2 + 674*T1^3*T2^2 - 356*T1^4*T2^2 - 
     112*T1^5*T2^2 + 109*T1^6*T2^2 - 77*T2^3 - 112*T1*T2^3 + 674*T1^2*T2^3 - 
     416*T1^3*T2^3 - 416*T1^4*T2^3 + 674*T1^5*T2^3 - 112*T1^6*T2^3 - 
     77*T1^7*T2^3 + 23*T2^4 + 190*T1*T2^4 - 356*T1^2*T2^4 - 416*T1^3*T2^4 + 
     924*T1^4*T2^4 - 416*T1^5*T2^4 - 356*T1^6*T2^4 + 190*T1^7*T2^4 + 
     23*T1^8*T2^4 - 77*T1*T2^5 - 112*T1^2*T2^5 + 674*T1^3*T2^5 - 
     416*T1^4*T2^5 - 416*T1^5*T2^5 + 674*T1^6*T2^5 - 112*T1^7*T2^5 - 
     77*T1^8*T2^5 + 109*T1^2*T2^6 - 112*T1^3*T2^6 - 356*T1^4*T2^6 + 
     674*T1^5*T2^6 - 356*T1^6*T2^6 - 112*T1^7*T2^6 + 109*T1^8*T2^6 - 
     77*T1^3*T2^7 + 190*T1^4*T2^7 - 112*T1^5*T2^7 - 112*T1^6*T2^7 + 
     190*T1^7*T2^7 - 77*T1^8*T2^7 + 23*T1^4*T2^8 - 77*T1^5*T2^8 + 
     109*T1^6*T2^8 - 77*T1^7*T2^8 + 23*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 498] -> 
  {-((5 - 20*T + 29*T^2 - 20*T^3 + 5*T^4)/T^2), 
   -((115 - 440*T1 + 625*T1^2 - 440*T1^3 + 115*T1^4 - 440*T2 + 1242*T1*T2 - 
      714*T1^2*T2 - 714*T1^3*T2 + 1242*T1^4*T2 - 440*T1^5*T2 + 625*T2^2 - 
      714*T1*T2^2 - 2331*T1^2*T2^2 + 4311*T1^3*T2^2 - 2331*T1^4*T2^2 - 
      714*T1^5*T2^2 + 625*T1^6*T2^2 - 440*T2^3 - 714*T1*T2^3 + 
      4311*T1^2*T2^3 - 2692*T1^3*T2^3 - 2692*T1^4*T2^3 + 4311*T1^5*T2^3 - 
      714*T1^6*T2^3 - 440*T1^7*T2^3 + 115*T2^4 + 1242*T1*T2^4 - 
      2331*T1^2*T2^4 - 2692*T1^3*T2^4 + 6228*T1^4*T2^4 - 2692*T1^5*T2^4 - 
      2331*T1^6*T2^4 + 1242*T1^7*T2^4 + 115*T1^8*T2^4 - 440*T1*T2^5 - 
      714*T1^2*T2^5 + 4311*T1^3*T2^5 - 2692*T1^4*T2^5 - 2692*T1^5*T2^5 + 
      4311*T1^6*T2^5 - 714*T1^7*T2^5 - 440*T1^8*T2^5 + 625*T1^2*T2^6 - 
      714*T1^3*T2^6 - 2331*T1^4*T2^6 + 4311*T1^5*T2^6 - 2331*T1^6*T2^6 - 
      714*T1^7*T2^6 + 625*T1^8*T2^6 - 440*T1^3*T2^7 + 1242*T1^4*T2^7 - 
      714*T1^5*T2^7 - 714*T1^6*T2^7 + 1242*T1^7*T2^7 - 440*T1^8*T2^7 + 
      115*T1^4*T2^8 - 440*T1^5*T2^8 + 625*T1^6*T2^8 - 440*T1^7*T2^8 + 
      115*T1^8*T2^8)/(T1^4*T2^4))}, Knot[12, NonAlternating, 499] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)^2)/T^3), 
   (4 - 19*T1 + 26*T1^2 - 19*T1^3 + 4*T1^4 - 19*T2 + 82*T1*T2 - 41*T1^2*T2 - 
     41*T1^3*T2 + 82*T1^4*T2 - 19*T1^5*T2 + 26*T2^2 - 41*T1*T2^2 - 
     312*T1^2*T2^2 + 476*T1^3*T2^2 - 312*T1^4*T2^2 - 41*T1^5*T2^2 + 
     26*T1^6*T2^2 - 19*T2^3 - 41*T1*T2^3 + 476*T1^2*T2^3 - 228*T1^3*T2^3 - 
     228*T1^4*T2^3 + 476*T1^5*T2^3 - 41*T1^6*T2^3 - 19*T1^7*T2^3 + 4*T2^4 + 
     82*T1*T2^4 - 312*T1^2*T2^4 - 228*T1^3*T2^4 + 432*T1^4*T2^4 - 
     228*T1^5*T2^4 - 312*T1^6*T2^4 + 82*T1^7*T2^4 + 4*T1^8*T2^4 - 
     19*T1*T2^5 - 41*T1^2*T2^5 + 476*T1^3*T2^5 - 228*T1^4*T2^5 - 
     228*T1^5*T2^5 + 476*T1^6*T2^5 - 41*T1^7*T2^5 - 19*T1^8*T2^5 + 
     26*T1^2*T2^6 - 41*T1^3*T2^6 - 312*T1^4*T2^6 + 476*T1^5*T2^6 - 
     312*T1^6*T2^6 - 41*T1^7*T2^6 + 26*T1^8*T2^6 - 19*T1^3*T2^7 + 
     82*T1^4*T2^7 - 41*T1^5*T2^7 - 41*T1^6*T2^7 + 82*T1^7*T2^7 - 
     19*T1^8*T2^7 + 4*T1^4*T2^8 - 19*T1^5*T2^8 + 26*T1^6*T2^8 - 
     19*T1^7*T2^8 + 4*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 500] -> 
  {((1 - T + T^2)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^3, 
   -((7 - 22*T1 + 40*T1^2 - 47*T1^3 + 40*T1^4 - 22*T1^5 + 7*T1^6 - 22*T2 + 
      44*T1*T2 - 56*T1^2*T2 + 22*T1^3*T2 + 22*T1^4*T2 - 56*T1^5*T2 + 
      44*T1^6*T2 - 22*T1^7*T2 + 40*T2^2 - 56*T1*T2^2 + 85*T1^2*T2^2 - 
      33*T1^3*T2^2 + 19*T1^4*T2^2 - 33*T1^5*T2^2 + 85*T1^6*T2^2 - 
      56*T1^7*T2^2 + 40*T1^8*T2^2 - 47*T2^3 + 22*T1*T2^3 - 33*T1^2*T2^3 - 
      80*T1^3*T2^3 + 36*T1^4*T2^3 + 36*T1^5*T2^3 - 80*T1^6*T2^3 - 
      33*T1^7*T2^3 + 22*T1^8*T2^3 - 47*T1^9*T2^3 + 40*T2^4 + 22*T1*T2^4 + 
      19*T1^2*T2^4 + 36*T1^3*T2^4 + 174*T1^4*T2^4 - 256*T1^5*T2^4 + 
      174*T1^6*T2^4 + 36*T1^7*T2^4 + 19*T1^8*T2^4 + 22*T1^9*T2^4 + 
      40*T1^10*T2^4 - 22*T2^5 - 56*T1*T2^5 - 33*T1^2*T2^5 + 36*T1^3*T2^5 - 
      256*T1^4*T2^5 + 122*T1^5*T2^5 + 122*T1^6*T2^5 - 256*T1^7*T2^5 + 
      36*T1^8*T2^5 - 33*T1^9*T2^5 - 56*T1^10*T2^5 - 22*T1^11*T2^5 + 7*T2^6 + 
      44*T1*T2^6 + 85*T1^2*T2^6 - 80*T1^3*T2^6 + 174*T1^4*T2^6 + 
      122*T1^5*T2^6 - 252*T1^6*T2^6 + 122*T1^7*T2^6 + 174*T1^8*T2^6 - 
      80*T1^9*T2^6 + 85*T1^10*T2^6 + 44*T1^11*T2^6 + 7*T1^12*T2^6 - 
      22*T1*T2^7 - 56*T1^2*T2^7 - 33*T1^3*T2^7 + 36*T1^4*T2^7 - 
      256*T1^5*T2^7 + 122*T1^6*T2^7 + 122*T1^7*T2^7 - 256*T1^8*T2^7 + 
      36*T1^9*T2^7 - 33*T1^10*T2^7 - 56*T1^11*T2^7 - 22*T1^12*T2^7 + 
      40*T1^2*T2^8 + 22*T1^3*T2^8 + 19*T1^4*T2^8 + 36*T1^5*T2^8 + 
      174*T1^6*T2^8 - 256*T1^7*T2^8 + 174*T1^8*T2^8 + 36*T1^9*T2^8 + 
      19*T1^10*T2^8 + 22*T1^11*T2^8 + 40*T1^12*T2^8 - 47*T1^3*T2^9 + 
      22*T1^4*T2^9 - 33*T1^5*T2^9 - 80*T1^6*T2^9 + 36*T1^7*T2^9 + 
      36*T1^8*T2^9 - 80*T1^9*T2^9 - 33*T1^10*T2^9 + 22*T1^11*T2^9 - 
      47*T1^12*T2^9 + 40*T1^4*T2^10 - 56*T1^5*T2^10 + 85*T1^6*T2^10 - 
      33*T1^7*T2^10 + 19*T1^8*T2^10 - 33*T1^9*T2^10 + 85*T1^10*T2^10 - 
      56*T1^11*T2^10 + 40*T1^12*T2^10 - 22*T1^5*T2^11 + 44*T1^6*T2^11 - 
      56*T1^7*T2^11 + 22*T1^8*T2^11 + 22*T1^9*T2^11 - 56*T1^10*T2^11 + 
      44*T1^11*T2^11 - 22*T1^12*T2^11 + 7*T1^6*T2^12 - 22*T1^7*T2^12 + 
      40*T1^8*T2^12 - 47*T1^9*T2^12 + 40*T1^10*T2^12 - 22*T1^11*T2^12 + 
      7*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 501] -> 
  {(2 - 3*T + 2*T^2)^2/T^2, (2*(4*T1 - 8*T1^2 + 4*T1^3 + 4*T2 - 8*T1*T2 + 
      10*T1^2*T2 + 10*T1^3*T2 - 8*T1^4*T2 + 4*T1^5*T2 - 8*T2^2 + 10*T1*T2^2 - 
      103*T1^2*T2^2 + 128*T1^3*T2^2 - 103*T1^4*T2^2 + 10*T1^5*T2^2 - 
      8*T1^6*T2^2 + 4*T2^3 + 10*T1*T2^3 + 128*T1^2*T2^3 - 50*T1^3*T2^3 - 
      50*T1^4*T2^3 + 128*T1^5*T2^3 + 10*T1^6*T2^3 + 4*T1^7*T2^3 - 8*T1*T2^4 - 
      103*T1^2*T2^4 - 50*T1^3*T2^4 + 78*T1^4*T2^4 - 50*T1^5*T2^4 - 
      103*T1^6*T2^4 - 8*T1^7*T2^4 + 4*T1*T2^5 + 10*T1^2*T2^5 + 
      128*T1^3*T2^5 - 50*T1^4*T2^5 - 50*T1^5*T2^5 + 128*T1^6*T2^5 + 
      10*T1^7*T2^5 + 4*T1^8*T2^5 - 8*T1^2*T2^6 + 10*T1^3*T2^6 - 
      103*T1^4*T2^6 + 128*T1^5*T2^6 - 103*T1^6*T2^6 + 10*T1^7*T2^6 - 
      8*T1^8*T2^6 + 4*T1^3*T2^7 - 8*T1^4*T2^7 + 10*T1^5*T2^7 + 10*T1^6*T2^7 - 
      8*T1^7*T2^7 + 4*T1^8*T2^7 + 4*T1^5*T2^8 - 8*T1^6*T2^8 + 4*T1^7*T2^8))/
    (T1^4*T2^4)}, 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, 
   (33 - 49*T1 + 16*T1^2 + 17*T1^3 - 17*T1^4 + 17*T1^5 + 16*T1^6 - 49*T1^7 + 
     33*T1^8 - 49*T2 + 24*T1*T2 + 49*T1^2*T2 - 49*T1^3*T2 - 49*T1^6*T2 + 
     49*T1^7*T2 + 24*T1^8*T2 - 49*T1^9*T2 + 16*T2^2 + 49*T1*T2^2 - 
     85*T1^2*T2^2 + 20*T1^3*T2^2 + 37*T1^4*T2^2 - 21*T1^5*T2^2 + 
     37*T1^6*T2^2 + 20*T1^7*T2^2 - 85*T1^8*T2^2 + 49*T1^9*T2^2 + 
     16*T1^10*T2^2 + 17*T2^3 - 49*T1*T2^3 + 20*T1^2*T2^3 + 44*T1^3*T2^3 - 
     50*T1^4*T2^3 + 13*T1^5*T2^3 + 13*T1^6*T2^3 - 50*T1^7*T2^3 + 
     44*T1^8*T2^3 + 20*T1^9*T2^3 - 49*T1^10*T2^3 + 17*T1^11*T2^3 - 17*T2^4 + 
     37*T1^2*T2^4 - 50*T1^3*T2^4 + 15*T1^4*T2^4 + 18*T1^5*T2^4 - 
     37*T1^6*T2^4 + 18*T1^7*T2^4 + 15*T1^8*T2^4 - 50*T1^9*T2^4 + 
     37*T1^10*T2^4 - 17*T1^12*T2^4 + 17*T2^5 - 21*T1^2*T2^5 + 13*T1^3*T2^5 + 
     18*T1^4*T2^5 - 18*T1^5*T2^5 + 10*T1^6*T2^5 + 10*T1^7*T2^5 - 
     18*T1^8*T2^5 + 18*T1^9*T2^5 + 13*T1^10*T2^5 - 21*T1^11*T2^5 + 
     17*T1^13*T2^5 + 16*T2^6 - 49*T1*T2^6 + 37*T1^2*T2^6 + 13*T1^3*T2^6 - 
     37*T1^4*T2^6 + 10*T1^5*T2^6 + 19*T1^6*T2^6 - 33*T1^7*T2^6 + 
     19*T1^8*T2^6 + 10*T1^9*T2^6 - 37*T1^10*T2^6 + 13*T1^11*T2^6 + 
     37*T1^12*T2^6 - 49*T1^13*T2^6 + 16*T1^14*T2^6 - 49*T2^7 + 49*T1*T2^7 + 
     20*T1^2*T2^7 - 50*T1^3*T2^7 + 18*T1^4*T2^7 + 10*T1^5*T2^7 - 
     33*T1^6*T2^7 + 22*T1^7*T2^7 + 22*T1^8*T2^7 - 33*T1^9*T2^7 + 
     10*T1^10*T2^7 + 18*T1^11*T2^7 - 50*T1^12*T2^7 + 20*T1^13*T2^7 + 
     49*T1^14*T2^7 - 49*T1^15*T2^7 + 33*T2^8 + 24*T1*T2^8 - 85*T1^2*T2^8 + 
     44*T1^3*T2^8 + 15*T1^4*T2^8 - 18*T1^5*T2^8 + 19*T1^6*T2^8 + 
     22*T1^7*T2^8 - 60*T1^8*T2^8 + 22*T1^9*T2^8 + 19*T1^10*T2^8 - 
     18*T1^11*T2^8 + 15*T1^12*T2^8 + 44*T1^13*T2^8 - 85*T1^14*T2^8 + 
     24*T1^15*T2^8 + 33*T1^16*T2^8 - 49*T1*T2^9 + 49*T1^2*T2^9 + 
     20*T1^3*T2^9 - 50*T1^4*T2^9 + 18*T1^5*T2^9 + 10*T1^6*T2^9 - 
     33*T1^7*T2^9 + 22*T1^8*T2^9 + 22*T1^9*T2^9 - 33*T1^10*T2^9 + 
     10*T1^11*T2^9 + 18*T1^12*T2^9 - 50*T1^13*T2^9 + 20*T1^14*T2^9 + 
     49*T1^15*T2^9 - 49*T1^16*T2^9 + 16*T1^2*T2^10 - 49*T1^3*T2^10 + 
     37*T1^4*T2^10 + 13*T1^5*T2^10 - 37*T1^6*T2^10 + 10*T1^7*T2^10 + 
     19*T1^8*T2^10 - 33*T1^9*T2^10 + 19*T1^10*T2^10 + 10*T1^11*T2^10 - 
     37*T1^12*T2^10 + 13*T1^13*T2^10 + 37*T1^14*T2^10 - 49*T1^15*T2^10 + 
     16*T1^16*T2^10 + 17*T1^3*T2^11 - 21*T1^5*T2^11 + 13*T1^6*T2^11 + 
     18*T1^7*T2^11 - 18*T1^8*T2^11 + 10*T1^9*T2^11 + 10*T1^10*T2^11 - 
     18*T1^11*T2^11 + 18*T1^12*T2^11 + 13*T1^13*T2^11 - 21*T1^14*T2^11 + 
     17*T1^16*T2^11 - 17*T1^4*T2^12 + 37*T1^6*T2^12 - 50*T1^7*T2^12 + 
     15*T1^8*T2^12 + 18*T1^9*T2^12 - 37*T1^10*T2^12 + 18*T1^11*T2^12 + 
     15*T1^12*T2^12 - 50*T1^13*T2^12 + 37*T1^14*T2^12 - 17*T1^16*T2^12 + 
     17*T1^5*T2^13 - 49*T1^6*T2^13 + 20*T1^7*T2^13 + 44*T1^8*T2^13 - 
     50*T1^9*T2^13 + 13*T1^10*T2^13 + 13*T1^11*T2^13 - 50*T1^12*T2^13 + 
     44*T1^13*T2^13 + 20*T1^14*T2^13 - 49*T1^15*T2^13 + 17*T1^16*T2^13 + 
     16*T1^6*T2^14 + 49*T1^7*T2^14 - 85*T1^8*T2^14 + 20*T1^9*T2^14 + 
     37*T1^10*T2^14 - 21*T1^11*T2^14 + 37*T1^12*T2^14 + 20*T1^13*T2^14 - 
     85*T1^14*T2^14 + 49*T1^15*T2^14 + 16*T1^16*T2^14 - 49*T1^7*T2^15 + 
     24*T1^8*T2^15 + 49*T1^9*T2^15 - 49*T1^10*T2^15 - 49*T1^13*T2^15 + 
     49*T1^14*T2^15 + 24*T1^15*T2^15 - 49*T1^16*T2^15 + 33*T1^8*T2^16 - 
     49*T1^9*T2^16 + 16*T1^10*T2^16 + 17*T1^11*T2^16 - 17*T1^12*T2^16 + 
     17*T1^13*T2^16 + 16*T1^14*T2^16 - 49*T1^15*T2^16 + 33*T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, NonAlternating, 503] -> 
  {((2 - 3*T + 2*T^2)*(2 - T - T^2 - T^3 + 2*T^4))/T^3, 
   (208 - 408*T1 + 248*T1^2 - 40*T1^3 + 248*T1^4 - 408*T1^5 + 208*T1^6 - 
     408*T2 + 396*T1*T2 + 312*T1^2*T2 - 408*T1^3*T2 - 408*T1^4*T2 + 
     312*T1^5*T2 + 396*T1^6*T2 - 408*T1^7*T2 + 248*T2^2 + 312*T1*T2^2 - 
     1038*T1^2*T2^2 + 430*T1^3*T2^2 + 434*T1^4*T2^2 + 430*T1^5*T2^2 - 
     1038*T1^6*T2^2 + 312*T1^7*T2^2 + 248*T1^8*T2^2 - 40*T2^3 - 408*T1*T2^3 + 
     430*T1^2*T2^3 + 348*T1^3*T2^3 - 464*T1^4*T2^3 - 464*T1^5*T2^3 + 
     348*T1^6*T2^3 + 430*T1^7*T2^3 - 408*T1^8*T2^3 - 40*T1^9*T2^3 + 
     248*T2^4 - 408*T1*T2^4 + 434*T1^2*T2^4 - 464*T1^3*T2^4 + 495*T1^4*T2^4 - 
     429*T1^5*T2^4 + 495*T1^6*T2^4 - 464*T1^7*T2^4 + 434*T1^8*T2^4 - 
     408*T1^9*T2^4 + 248*T1^10*T2^4 - 408*T2^5 + 312*T1*T2^5 + 
     430*T1^2*T2^5 - 464*T1^3*T2^5 - 429*T1^4*T2^5 + 416*T1^5*T2^5 + 
     416*T1^6*T2^5 - 429*T1^7*T2^5 - 464*T1^8*T2^5 + 430*T1^9*T2^5 + 
     312*T1^10*T2^5 - 408*T1^11*T2^5 + 208*T2^6 + 396*T1*T2^6 - 
     1038*T1^2*T2^6 + 348*T1^3*T2^6 + 495*T1^4*T2^6 + 416*T1^5*T2^6 - 
     1260*T1^6*T2^6 + 416*T1^7*T2^6 + 495*T1^8*T2^6 + 348*T1^9*T2^6 - 
     1038*T1^10*T2^6 + 396*T1^11*T2^6 + 208*T1^12*T2^6 - 408*T1*T2^7 + 
     312*T1^2*T2^7 + 430*T1^3*T2^7 - 464*T1^4*T2^7 - 429*T1^5*T2^7 + 
     416*T1^6*T2^7 + 416*T1^7*T2^7 - 429*T1^8*T2^7 - 464*T1^9*T2^7 + 
     430*T1^10*T2^7 + 312*T1^11*T2^7 - 408*T1^12*T2^7 + 248*T1^2*T2^8 - 
     408*T1^3*T2^8 + 434*T1^4*T2^8 - 464*T1^5*T2^8 + 495*T1^6*T2^8 - 
     429*T1^7*T2^8 + 495*T1^8*T2^8 - 464*T1^9*T2^8 + 434*T1^10*T2^8 - 
     408*T1^11*T2^8 + 248*T1^12*T2^8 - 40*T1^3*T2^9 - 408*T1^4*T2^9 + 
     430*T1^5*T2^9 + 348*T1^6*T2^9 - 464*T1^7*T2^9 - 464*T1^8*T2^9 + 
     348*T1^9*T2^9 + 430*T1^10*T2^9 - 408*T1^11*T2^9 - 40*T1^12*T2^9 + 
     248*T1^4*T2^10 + 312*T1^5*T2^10 - 1038*T1^6*T2^10 + 430*T1^7*T2^10 + 
     434*T1^8*T2^10 + 430*T1^9*T2^10 - 1038*T1^10*T2^10 + 312*T1^11*T2^10 + 
     248*T1^12*T2^10 - 408*T1^5*T2^11 + 396*T1^6*T2^11 + 312*T1^7*T2^11 - 
     408*T1^8*T2^11 - 408*T1^9*T2^11 + 312*T1^10*T2^11 + 396*T1^11*T2^11 - 
     408*T1^12*T2^11 + 208*T1^6*T2^12 - 408*T1^7*T2^12 + 248*T1^8*T2^12 - 
     40*T1^9*T2^12 + 248*T1^10*T2^12 - 408*T1^11*T2^12 + 208*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 504] -> 
  {(1 - 3*T + 3*T^2 - 3*T^3 + T^4)^2/T^4, 
   (2 - 9*T1 + 16*T1^2 - 18*T1^3 + 16*T1^4 - 9*T1^5 + 2*T1^6 - 9*T2 + 
     26*T1*T2 - 14*T1^2*T2 - T1^3*T2 - T1^4*T2 - 14*T1^5*T2 + 26*T1^6*T2 - 
     9*T1^7*T2 + 16*T2^2 - 14*T1*T2^2 - 48*T1^2*T2^2 - 22*T1^3*T2^2 + 
     94*T1^4*T2^2 - 22*T1^5*T2^2 - 48*T1^6*T2^2 - 14*T1^7*T2^2 + 
     16*T1^8*T2^2 - 18*T2^3 - T1*T2^3 - 22*T1^2*T2^3 + 328*T1^3*T2^3 - 
     194*T1^4*T2^3 - 194*T1^5*T2^3 + 328*T1^6*T2^3 - 22*T1^7*T2^3 - 
     T1^8*T2^3 - 18*T1^9*T2^3 + 16*T2^4 - T1*T2^4 + 94*T1^2*T2^4 - 
     194*T1^3*T2^4 - 662*T1^4*T2^4 + 1024*T1^5*T2^4 - 662*T1^6*T2^4 - 
     194*T1^7*T2^4 + 94*T1^8*T2^4 - T1^9*T2^4 + 16*T1^10*T2^4 - 9*T2^5 - 
     14*T1*T2^5 - 22*T1^2*T2^5 - 194*T1^3*T2^5 + 1024*T1^4*T2^5 - 
     396*T1^5*T2^5 - 396*T1^6*T2^5 + 1024*T1^7*T2^5 - 194*T1^8*T2^5 - 
     22*T1^9*T2^5 - 14*T1^10*T2^5 - 9*T1^11*T2^5 + 2*T2^6 + 26*T1*T2^6 - 
     48*T1^2*T2^6 + 328*T1^3*T2^6 - 662*T1^4*T2^6 - 396*T1^5*T2^6 + 
     588*T1^6*T2^6 - 396*T1^7*T2^6 - 662*T1^8*T2^6 + 328*T1^9*T2^6 - 
     48*T1^10*T2^6 + 26*T1^11*T2^6 + 2*T1^12*T2^6 - 9*T1*T2^7 - 
     14*T1^2*T2^7 - 22*T1^3*T2^7 - 194*T1^4*T2^7 + 1024*T1^5*T2^7 - 
     396*T1^6*T2^7 - 396*T1^7*T2^7 + 1024*T1^8*T2^7 - 194*T1^9*T2^7 - 
     22*T1^10*T2^7 - 14*T1^11*T2^7 - 9*T1^12*T2^7 + 16*T1^2*T2^8 - 
     T1^3*T2^8 + 94*T1^4*T2^8 - 194*T1^5*T2^8 - 662*T1^6*T2^8 + 
     1024*T1^7*T2^8 - 662*T1^8*T2^8 - 194*T1^9*T2^8 + 94*T1^10*T2^8 - 
     T1^11*T2^8 + 16*T1^12*T2^8 - 18*T1^3*T2^9 - T1^4*T2^9 - 22*T1^5*T2^9 + 
     328*T1^6*T2^9 - 194*T1^7*T2^9 - 194*T1^8*T2^9 + 328*T1^9*T2^9 - 
     22*T1^10*T2^9 - T1^11*T2^9 - 18*T1^12*T2^9 + 16*T1^4*T2^10 - 
     14*T1^5*T2^10 - 48*T1^6*T2^10 - 22*T1^7*T2^10 + 94*T1^8*T2^10 - 
     22*T1^9*T2^10 - 48*T1^10*T2^10 - 14*T1^11*T2^10 + 16*T1^12*T2^10 - 
     9*T1^5*T2^11 + 26*T1^6*T2^11 - 14*T1^7*T2^11 - T1^8*T2^11 - T1^9*T2^11 - 
     14*T1^10*T2^11 + 26*T1^11*T2^11 - 9*T1^12*T2^11 + 2*T1^6*T2^12 - 
     9*T1^7*T2^12 + 16*T1^8*T2^12 - 18*T1^9*T2^12 + 16*T1^10*T2^12 - 
     9*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 505] -> 
  {(1 - 8*T + 24*T^2 - 33*T^3 + 24*T^4 - 8*T^5 + T^6)/T^3, 
   -((1 - 8*T1 + 24*T1^2 - 33*T1^3 + 24*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
      56*T1*T2 - 128*T1^2*T2 + 71*T1^3*T2 + 71*T1^4*T2 - 128*T1^5*T2 + 
      56*T1^6*T2 - 8*T1^7*T2 + 24*T2^2 - 128*T1*T2^2 + 94*T1^2*T2^2 + 
      526*T1^3*T2^2 - 898*T1^4*T2^2 + 526*T1^5*T2^2 + 94*T1^6*T2^2 - 
      128*T1^7*T2^2 + 24*T1^8*T2^2 - 33*T2^3 + 71*T1*T2^3 + 526*T1^2*T2^3 - 
      1904*T1^3*T2^3 + 1065*T1^4*T2^3 + 1065*T1^5*T2^3 - 1904*T1^6*T2^3 + 
      526*T1^7*T2^3 + 71*T1^8*T2^3 - 33*T1^9*T2^3 + 24*T2^4 + 71*T1*T2^4 - 
      898*T1^2*T2^4 + 1065*T1^3*T2^4 + 3426*T1^4*T2^4 - 5970*T1^5*T2^4 + 
      3426*T1^6*T2^4 + 1065*T1^7*T2^4 - 898*T1^8*T2^4 + 71*T1^9*T2^4 + 
      24*T1^10*T2^4 - 8*T2^5 - 128*T1*T2^5 + 526*T1^2*T2^5 + 1065*T1^3*T2^5 - 
      5970*T1^4*T2^5 + 3314*T1^5*T2^5 + 3314*T1^6*T2^5 - 5970*T1^7*T2^5 + 
      1065*T1^8*T2^5 + 526*T1^9*T2^5 - 128*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
      56*T1*T2^6 + 94*T1^2*T2^6 - 1904*T1^3*T2^6 + 3426*T1^4*T2^6 + 
      3314*T1^5*T2^6 - 7116*T1^6*T2^6 + 3314*T1^7*T2^6 + 3426*T1^8*T2^6 - 
      1904*T1^9*T2^6 + 94*T1^10*T2^6 + 56*T1^11*T2^6 + T1^12*T2^6 - 
      8*T1*T2^7 - 128*T1^2*T2^7 + 526*T1^3*T2^7 + 1065*T1^4*T2^7 - 
      5970*T1^5*T2^7 + 3314*T1^6*T2^7 + 3314*T1^7*T2^7 - 5970*T1^8*T2^7 + 
      1065*T1^9*T2^7 + 526*T1^10*T2^7 - 128*T1^11*T2^7 - 8*T1^12*T2^7 + 
      24*T1^2*T2^8 + 71*T1^3*T2^8 - 898*T1^4*T2^8 + 1065*T1^5*T2^8 + 
      3426*T1^6*T2^8 - 5970*T1^7*T2^8 + 3426*T1^8*T2^8 + 1065*T1^9*T2^8 - 
      898*T1^10*T2^8 + 71*T1^11*T2^8 + 24*T1^12*T2^8 - 33*T1^3*T2^9 + 
      71*T1^4*T2^9 + 526*T1^5*T2^9 - 1904*T1^6*T2^9 + 1065*T1^7*T2^9 + 
      1065*T1^8*T2^9 - 1904*T1^9*T2^9 + 526*T1^10*T2^9 + 71*T1^11*T2^9 - 
      33*T1^12*T2^9 + 24*T1^4*T2^10 - 128*T1^5*T2^10 + 94*T1^6*T2^10 + 
      526*T1^7*T2^10 - 898*T1^8*T2^10 + 526*T1^9*T2^10 + 94*T1^10*T2^10 - 
      128*T1^11*T2^10 + 24*T1^12*T2^10 - 8*T1^5*T2^11 + 56*T1^6*T2^11 - 
      128*T1^7*T2^11 + 71*T1^8*T2^11 + 71*T1^9*T2^11 - 128*T1^10*T2^11 + 
      56*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
      24*T1^8*T2^12 - 33*T1^9*T2^12 + 24*T1^10*T2^12 - 8*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 506] -> 
  {(1 - 6*T + 14*T^2 - 17*T^3 + 14*T^4 - 6*T^5 + T^6)/T^3, 
   (1 - 6*T1 + 14*T1^2 - 17*T1^3 + 14*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     28*T1*T2 - 42*T1^2*T2 + 16*T1^3*T2 + 16*T1^4*T2 - 42*T1^5*T2 + 
     28*T1^6*T2 - 6*T1^7*T2 + 14*T2^2 - 42*T1*T2^2 - 11*T1^2*T2^2 + 
     141*T1^3*T2^2 - 177*T1^4*T2^2 + 141*T1^5*T2^2 - 11*T1^6*T2^2 - 
     42*T1^7*T2^2 + 14*T1^8*T2^2 - 17*T2^3 + 16*T1*T2^3 + 141*T1^2*T2^3 - 
     262*T1^3*T2^3 + 99*T1^4*T2^3 + 99*T1^5*T2^3 - 262*T1^6*T2^3 + 
     141*T1^7*T2^3 + 16*T1^8*T2^3 - 17*T1^9*T2^3 + 14*T2^4 + 16*T1*T2^4 - 
     177*T1^2*T2^4 + 99*T1^3*T2^4 + 281*T1^4*T2^4 - 443*T1^5*T2^4 + 
     281*T1^6*T2^4 + 99*T1^7*T2^4 - 177*T1^8*T2^4 + 16*T1^9*T2^4 + 
     14*T1^10*T2^4 - 6*T2^5 - 42*T1*T2^5 + 141*T1^2*T2^5 + 99*T1^3*T2^5 - 
     443*T1^4*T2^5 + 278*T1^5*T2^5 + 278*T1^6*T2^5 - 443*T1^7*T2^5 + 
     99*T1^8*T2^5 + 141*T1^9*T2^5 - 42*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     28*T1*T2^6 - 11*T1^2*T2^6 - 262*T1^3*T2^6 + 281*T1^4*T2^6 + 
     278*T1^5*T2^6 - 732*T1^6*T2^6 + 278*T1^7*T2^6 + 281*T1^8*T2^6 - 
     262*T1^9*T2^6 - 11*T1^10*T2^6 + 28*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
     42*T1^2*T2^7 + 141*T1^3*T2^7 + 99*T1^4*T2^7 - 443*T1^5*T2^7 + 
     278*T1^6*T2^7 + 278*T1^7*T2^7 - 443*T1^8*T2^7 + 99*T1^9*T2^7 + 
     141*T1^10*T2^7 - 42*T1^11*T2^7 - 6*T1^12*T2^7 + 14*T1^2*T2^8 + 
     16*T1^3*T2^8 - 177*T1^4*T2^8 + 99*T1^5*T2^8 + 281*T1^6*T2^8 - 
     443*T1^7*T2^8 + 281*T1^8*T2^8 + 99*T1^9*T2^8 - 177*T1^10*T2^8 + 
     16*T1^11*T2^8 + 14*T1^12*T2^8 - 17*T1^3*T2^9 + 16*T1^4*T2^9 + 
     141*T1^5*T2^9 - 262*T1^6*T2^9 + 99*T1^7*T2^9 + 99*T1^8*T2^9 - 
     262*T1^9*T2^9 + 141*T1^10*T2^9 + 16*T1^11*T2^9 - 17*T1^12*T2^9 + 
     14*T1^4*T2^10 - 42*T1^5*T2^10 - 11*T1^6*T2^10 + 141*T1^7*T2^10 - 
     177*T1^8*T2^10 + 141*T1^9*T2^10 - 11*T1^10*T2^10 - 42*T1^11*T2^10 + 
     14*T1^12*T2^10 - 6*T1^5*T2^11 + 28*T1^6*T2^11 - 42*T1^7*T2^11 + 
     16*T1^8*T2^11 + 16*T1^9*T2^11 - 42*T1^10*T2^11 + 28*T1^11*T2^11 - 
     6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 14*T1^8*T2^12 - 
     17*T1^9*T2^12 + 14*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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)*
      (1 - 4*T1 + 5*T1^2 - 4*T1^3 + T1^4 - 4*T2 + 14*T1*T2 - 4*T1^2*T2 - 
       4*T1^3*T2 + 14*T1^4*T2 - 4*T1^5*T2 + 5*T2^2 - 4*T1*T2^2 - 
       45*T1^2*T2^2 + 51*T1^3*T2^2 - 45*T1^4*T2^2 - 4*T1^5*T2^2 + 
       5*T1^6*T2^2 - 4*T2^3 - 4*T1*T2^3 + 51*T1^2*T2^3 - 12*T1^3*T2^3 - 
       12*T1^4*T2^3 + 51*T1^5*T2^3 - 4*T1^6*T2^3 - 4*T1^7*T2^3 + T2^4 + 
       14*T1*T2^4 - 45*T1^2*T2^4 - 12*T1^3*T2^4 + 12*T1^4*T2^4 - 
       12*T1^5*T2^4 - 45*T1^6*T2^4 + 14*T1^7*T2^4 + T1^8*T2^4 - 4*T1*T2^5 - 
       4*T1^2*T2^5 + 51*T1^3*T2^5 - 12*T1^4*T2^5 - 12*T1^5*T2^5 + 
       51*T1^6*T2^5 - 4*T1^7*T2^5 - 4*T1^8*T2^5 + 5*T1^2*T2^6 - 4*T1^3*T2^6 - 
       45*T1^4*T2^6 + 51*T1^5*T2^6 - 45*T1^6*T2^6 - 4*T1^7*T2^6 + 
       5*T1^8*T2^6 - 4*T1^3*T2^7 + 14*T1^4*T2^7 - 4*T1^5*T2^7 - 4*T1^6*T2^7 + 
       14*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))/(T1^6*T2^6))}, 
 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)*
     (1 - 3*T1 + 6*T1^2 - 7*T1^3 + 6*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 - 
      9*T1^2*T2 + 3*T1^3*T2 + 3*T1^4*T2 - 9*T1^5*T2 + 6*T1^6*T2 - 3*T1^7*T2 + 
      6*T2^2 - 9*T1*T2^2 + 14*T1^2*T2^2 - 2*T1^3*T2^2 + 2*T1^4*T2^2 - 
      2*T1^5*T2^2 + 14*T1^6*T2^2 - 9*T1^7*T2^2 + 6*T1^8*T2^2 - 7*T2^3 + 
      3*T1*T2^3 - 2*T1^2*T2^3 - 20*T1^3*T2^3 + 5*T1^4*T2^3 + 5*T1^5*T2^3 - 
      20*T1^6*T2^3 - 2*T1^7*T2^3 + 3*T1^8*T2^3 - 7*T1^9*T2^3 + 6*T2^4 + 
      3*T1*T2^4 + 2*T1^2*T2^4 + 5*T1^3*T2^4 + 40*T1^4*T2^4 - 48*T1^5*T2^4 + 
      40*T1^6*T2^4 + 5*T1^7*T2^4 + 2*T1^8*T2^4 + 3*T1^9*T2^4 + 6*T1^10*T2^4 - 
      3*T2^5 - 9*T1*T2^5 - 2*T1^2*T2^5 + 5*T1^3*T2^5 - 48*T1^4*T2^5 + 
      18*T1^5*T2^5 + 18*T1^6*T2^5 - 48*T1^7*T2^5 + 5*T1^8*T2^5 - 
      2*T1^9*T2^5 - 9*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 6*T1*T2^6 + 
      14*T1^2*T2^6 - 20*T1^3*T2^6 + 40*T1^4*T2^6 + 18*T1^5*T2^6 - 
      36*T1^6*T2^6 + 18*T1^7*T2^6 + 40*T1^8*T2^6 - 20*T1^9*T2^6 + 
      14*T1^10*T2^6 + 6*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 - 9*T1^2*T2^7 - 
      2*T1^3*T2^7 + 5*T1^4*T2^7 - 48*T1^5*T2^7 + 18*T1^6*T2^7 + 
      18*T1^7*T2^7 - 48*T1^8*T2^7 + 5*T1^9*T2^7 - 2*T1^10*T2^7 - 
      9*T1^11*T2^7 - 3*T1^12*T2^7 + 6*T1^2*T2^8 + 3*T1^3*T2^8 + 2*T1^4*T2^8 + 
      5*T1^5*T2^8 + 40*T1^6*T2^8 - 48*T1^7*T2^8 + 40*T1^8*T2^8 + 
      5*T1^9*T2^8 + 2*T1^10*T2^8 + 3*T1^11*T2^8 + 6*T1^12*T2^8 - 
      7*T1^3*T2^9 + 3*T1^4*T2^9 - 2*T1^5*T2^9 - 20*T1^6*T2^9 + 5*T1^7*T2^9 + 
      5*T1^8*T2^9 - 20*T1^9*T2^9 - 2*T1^10*T2^9 + 3*T1^11*T2^9 - 
      7*T1^12*T2^9 + 6*T1^4*T2^10 - 9*T1^5*T2^10 + 14*T1^6*T2^10 - 
      2*T1^7*T2^10 + 2*T1^8*T2^10 - 2*T1^9*T2^10 + 14*T1^10*T2^10 - 
      9*T1^11*T2^10 + 6*T1^12*T2^10 - 3*T1^5*T2^11 + 6*T1^6*T2^11 - 
      9*T1^7*T2^11 + 3*T1^8*T2^11 + 3*T1^9*T2^11 - 9*T1^10*T2^11 + 
      6*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))/(T1^8*T2^8)}, 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, 
   (2 - 10*T1 + 16*T1^2 - 14*T1^3 + 14*T1^4 - 14*T1^5 + 16*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 30*T1^2*T2 - 10*T1^3*T2 - 10*T1^6*T2 - 
     30*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 16*T2^2 - 30*T1*T2^2 - 
     104*T1^2*T2^2 + 202*T1^3*T2^2 - 102*T1^4*T2^2 + 116*T1^5*T2^2 - 
     102*T1^6*T2^2 + 202*T1^7*T2^2 - 104*T1^8*T2^2 - 30*T1^9*T2^2 + 
     16*T1^10*T2^2 - 14*T2^3 - 10*T1*T2^3 + 202*T1^2*T2^3 - 148*T1^3*T2^3 - 
     112*T1^4*T2^3 - 3*T1^5*T2^3 - 3*T1^6*T2^3 - 112*T1^7*T2^3 - 
     148*T1^8*T2^3 + 202*T1^9*T2^3 - 10*T1^10*T2^3 - 14*T1^11*T2^3 + 
     14*T2^4 - 102*T1^2*T2^4 - 112*T1^3*T2^4 + 326*T1^4*T2^4 - 87*T1^5*T2^4 + 
     148*T1^6*T2^4 - 87*T1^7*T2^4 + 326*T1^8*T2^4 - 112*T1^9*T2^4 - 
     102*T1^10*T2^4 + 14*T1^12*T2^4 - 14*T2^5 + 116*T1^2*T2^5 - 3*T1^3*T2^5 - 
     87*T1^4*T2^5 - 94*T1^5*T2^5 - 31*T1^6*T2^5 - 31*T1^7*T2^5 - 
     94*T1^8*T2^5 - 87*T1^9*T2^5 - 3*T1^10*T2^5 + 116*T1^11*T2^5 - 
     14*T1^13*T2^5 + 16*T2^6 - 10*T1*T2^6 - 102*T1^2*T2^6 - 3*T1^3*T2^6 + 
     148*T1^4*T2^6 - 31*T1^5*T2^6 + 100*T1^6*T2^6 - 36*T1^7*T2^6 + 
     100*T1^8*T2^6 - 31*T1^9*T2^6 + 148*T1^10*T2^6 - 3*T1^11*T2^6 - 
     102*T1^12*T2^6 - 10*T1^13*T2^6 + 16*T1^14*T2^6 - 10*T2^7 - 30*T1*T2^7 + 
     202*T1^2*T2^7 - 112*T1^3*T2^7 - 87*T1^4*T2^7 - 31*T1^5*T2^7 - 
     36*T1^6*T2^7 + 18*T1^7*T2^7 + 18*T1^8*T2^7 - 36*T1^9*T2^7 - 
     31*T1^10*T2^7 - 87*T1^11*T2^7 - 112*T1^12*T2^7 + 202*T1^13*T2^7 - 
     30*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 - 104*T1^2*T2^8 - 
     148*T1^3*T2^8 + 326*T1^4*T2^8 - 94*T1^5*T2^8 + 100*T1^6*T2^8 + 
     18*T1^7*T2^8 - 120*T1^8*T2^8 + 18*T1^9*T2^8 + 100*T1^10*T2^8 - 
     94*T1^11*T2^8 + 326*T1^12*T2^8 - 148*T1^13*T2^8 - 104*T1^14*T2^8 + 
     40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 30*T1^2*T2^9 + 
     202*T1^3*T2^9 - 112*T1^4*T2^9 - 87*T1^5*T2^9 - 31*T1^6*T2^9 - 
     36*T1^7*T2^9 + 18*T1^8*T2^9 + 18*T1^9*T2^9 - 36*T1^10*T2^9 - 
     31*T1^11*T2^9 - 87*T1^12*T2^9 - 112*T1^13*T2^9 + 202*T1^14*T2^9 - 
     30*T1^15*T2^9 - 10*T1^16*T2^9 + 16*T1^2*T2^10 - 10*T1^3*T2^10 - 
     102*T1^4*T2^10 - 3*T1^5*T2^10 + 148*T1^6*T2^10 - 31*T1^7*T2^10 + 
     100*T1^8*T2^10 - 36*T1^9*T2^10 + 100*T1^10*T2^10 - 31*T1^11*T2^10 + 
     148*T1^12*T2^10 - 3*T1^13*T2^10 - 102*T1^14*T2^10 - 10*T1^15*T2^10 + 
     16*T1^16*T2^10 - 14*T1^3*T2^11 + 116*T1^5*T2^11 - 3*T1^6*T2^11 - 
     87*T1^7*T2^11 - 94*T1^8*T2^11 - 31*T1^9*T2^11 - 31*T1^10*T2^11 - 
     94*T1^11*T2^11 - 87*T1^12*T2^11 - 3*T1^13*T2^11 + 116*T1^14*T2^11 - 
     14*T1^16*T2^11 + 14*T1^4*T2^12 - 102*T1^6*T2^12 - 112*T1^7*T2^12 + 
     326*T1^8*T2^12 - 87*T1^9*T2^12 + 148*T1^10*T2^12 - 87*T1^11*T2^12 + 
     326*T1^12*T2^12 - 112*T1^13*T2^12 - 102*T1^14*T2^12 + 14*T1^16*T2^12 - 
     14*T1^5*T2^13 - 10*T1^6*T2^13 + 202*T1^7*T2^13 - 148*T1^8*T2^13 - 
     112*T1^9*T2^13 - 3*T1^10*T2^13 - 3*T1^11*T2^13 - 112*T1^12*T2^13 - 
     148*T1^13*T2^13 + 202*T1^14*T2^13 - 10*T1^15*T2^13 - 14*T1^16*T2^13 + 
     16*T1^6*T2^14 - 30*T1^7*T2^14 - 104*T1^8*T2^14 + 202*T1^9*T2^14 - 
     102*T1^10*T2^14 + 116*T1^11*T2^14 - 102*T1^12*T2^14 + 202*T1^13*T2^14 - 
     104*T1^14*T2^14 - 30*T1^15*T2^14 + 16*T1^16*T2^14 - 10*T1^7*T2^15 + 
     40*T1^8*T2^15 - 30*T1^9*T2^15 - 10*T1^10*T2^15 - 10*T1^13*T2^15 - 
     30*T1^14*T2^15 + 40*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)/
    (T1^8*T2^8)}, Knot[12, NonAlternating, 510] -> 
  {-((1 - 11*T + 29*T^2 - 39*T^3 + 29*T^4 - 11*T^5 + T^6)/T^3), 
   (2*(1 - 11*T1 + 29*T1^2 - 39*T1^3 + 29*T1^4 - 11*T1^5 + T1^6 - 11*T2 + 
      115*T1*T2 - 202*T1^2*T2 + 111*T1^3*T2 + 111*T1^4*T2 - 202*T1^5*T2 + 
      115*T1^6*T2 - 11*T1^7*T2 + 29*T2^2 - 202*T1*T2^2 - 537*T1^2*T2^2 + 
      2219*T1^3*T2^2 - 3233*T1^4*T2^2 + 2219*T1^5*T2^2 - 537*T1^6*T2^2 - 
      202*T1^7*T2^2 + 29*T1^8*T2^2 - 39*T2^3 + 111*T1*T2^3 + 2219*T1^2*T2^3 - 
      4447*T1^3*T2^3 + 2576*T1^4*T2^3 + 2576*T1^5*T2^3 - 4447*T1^6*T2^3 + 
      2219*T1^7*T2^3 + 111*T1^8*T2^3 - 39*T1^9*T2^3 + 29*T2^4 + 111*T1*T2^4 - 
      3233*T1^2*T2^4 + 2576*T1^3*T2^4 + 3939*T1^4*T2^4 - 8843*T1^5*T2^4 + 
      3939*T1^6*T2^4 + 2576*T1^7*T2^4 - 3233*T1^8*T2^4 + 111*T1^9*T2^4 + 
      29*T1^10*T2^4 - 11*T2^5 - 202*T1*T2^5 + 2219*T1^2*T2^5 + 
      2576*T1^3*T2^5 - 8843*T1^4*T2^5 + 5885*T1^5*T2^5 + 5885*T1^6*T2^5 - 
      8843*T1^7*T2^5 + 2576*T1^8*T2^5 + 2219*T1^9*T2^5 - 202*T1^10*T2^5 - 
      11*T1^11*T2^5 + T2^6 + 115*T1*T2^6 - 537*T1^2*T2^6 - 4447*T1^3*T2^6 + 
      3939*T1^4*T2^6 + 5885*T1^5*T2^6 - 13710*T1^6*T2^6 + 5885*T1^7*T2^6 + 
      3939*T1^8*T2^6 - 4447*T1^9*T2^6 - 537*T1^10*T2^6 + 115*T1^11*T2^6 + 
      T1^12*T2^6 - 11*T1*T2^7 - 202*T1^2*T2^7 + 2219*T1^3*T2^7 + 
      2576*T1^4*T2^7 - 8843*T1^5*T2^7 + 5885*T1^6*T2^7 + 5885*T1^7*T2^7 - 
      8843*T1^8*T2^7 + 2576*T1^9*T2^7 + 2219*T1^10*T2^7 - 202*T1^11*T2^7 - 
      11*T1^12*T2^7 + 29*T1^2*T2^8 + 111*T1^3*T2^8 - 3233*T1^4*T2^8 + 
      2576*T1^5*T2^8 + 3939*T1^6*T2^8 - 8843*T1^7*T2^8 + 3939*T1^8*T2^8 + 
      2576*T1^9*T2^8 - 3233*T1^10*T2^8 + 111*T1^11*T2^8 + 29*T1^12*T2^8 - 
      39*T1^3*T2^9 + 111*T1^4*T2^9 + 2219*T1^5*T2^9 - 4447*T1^6*T2^9 + 
      2576*T1^7*T2^9 + 2576*T1^8*T2^9 - 4447*T1^9*T2^9 + 2219*T1^10*T2^9 + 
      111*T1^11*T2^9 - 39*T1^12*T2^9 + 29*T1^4*T2^10 - 202*T1^5*T2^10 - 
      537*T1^6*T2^10 + 2219*T1^7*T2^10 - 3233*T1^8*T2^10 + 2219*T1^9*T2^10 - 
      537*T1^10*T2^10 - 202*T1^11*T2^10 + 29*T1^12*T2^10 - 11*T1^5*T2^11 + 
      115*T1^6*T2^11 - 202*T1^7*T2^11 + 111*T1^8*T2^11 + 111*T1^9*T2^11 - 
      202*T1^10*T2^11 + 115*T1^11*T2^11 - 11*T1^12*T2^11 + T1^6*T2^12 - 
      11*T1^7*T2^12 + 29*T1^8*T2^12 - 39*T1^9*T2^12 + 29*T1^10*T2^12 - 
      11*T1^11*T2^12 + T1^12*T2^12))/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 511] -> 
  {-((2 - 9*T + 19*T^2 - 25*T^3 + 19*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((1 - 3*T1 + 5*T1^2 - 7*T1^3 + 5*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 8*T1*T2 - 
      11*T1^2*T2 + 7*T1^3*T2 + 7*T1^4*T2 - 11*T1^5*T2 + 8*T1^6*T2 - 
      3*T1^7*T2 + 5*T2^2 - 11*T1*T2^2 + 2*T1^2*T2^2 + 41*T1^3*T2^2 - 
      60*T1^4*T2^2 + 41*T1^5*T2^2 + 2*T1^6*T2^2 - 11*T1^7*T2^2 + 
      5*T1^8*T2^2 - 7*T2^3 + 7*T1*T2^3 + 41*T1^2*T2^3 - 134*T1^3*T2^3 + 
      49*T1^4*T2^3 + 49*T1^5*T2^3 - 134*T1^6*T2^3 + 41*T1^7*T2^3 + 
      7*T1^8*T2^3 - 7*T1^9*T2^3 + 5*T2^4 + 7*T1*T2^4 - 60*T1^2*T2^4 + 
      49*T1^3*T2^4 + 314*T1^4*T2^4 - 386*T1^5*T2^4 + 314*T1^6*T2^4 + 
      49*T1^7*T2^4 - 60*T1^8*T2^4 + 7*T1^9*T2^4 + 5*T1^10*T2^4 - 3*T2^5 - 
      11*T1*T2^5 + 41*T1^2*T2^5 + 49*T1^3*T2^5 - 386*T1^4*T2^5 + 
      98*T1^5*T2^5 + 98*T1^6*T2^5 - 386*T1^7*T2^5 + 49*T1^8*T2^5 + 
      41*T1^9*T2^5 - 11*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 8*T1*T2^6 + 
      2*T1^2*T2^6 - 134*T1^3*T2^6 + 314*T1^4*T2^6 + 98*T1^5*T2^6 - 
      72*T1^6*T2^6 + 98*T1^7*T2^6 + 314*T1^8*T2^6 - 134*T1^9*T2^6 + 
      2*T1^10*T2^6 + 8*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 - 11*T1^2*T2^7 + 
      41*T1^3*T2^7 + 49*T1^4*T2^7 - 386*T1^5*T2^7 + 98*T1^6*T2^7 + 
      98*T1^7*T2^7 - 386*T1^8*T2^7 + 49*T1^9*T2^7 + 41*T1^10*T2^7 - 
      11*T1^11*T2^7 - 3*T1^12*T2^7 + 5*T1^2*T2^8 + 7*T1^3*T2^8 - 
      60*T1^4*T2^8 + 49*T1^5*T2^8 + 314*T1^6*T2^8 - 386*T1^7*T2^8 + 
      314*T1^8*T2^8 + 49*T1^9*T2^8 - 60*T1^10*T2^8 + 7*T1^11*T2^8 + 
      5*T1^12*T2^8 - 7*T1^3*T2^9 + 7*T1^4*T2^9 + 41*T1^5*T2^9 - 
      134*T1^6*T2^9 + 49*T1^7*T2^9 + 49*T1^8*T2^9 - 134*T1^9*T2^9 + 
      41*T1^10*T2^9 + 7*T1^11*T2^9 - 7*T1^12*T2^9 + 5*T1^4*T2^10 - 
      11*T1^5*T2^10 + 2*T1^6*T2^10 + 41*T1^7*T2^10 - 60*T1^8*T2^10 + 
      41*T1^9*T2^10 + 2*T1^10*T2^10 - 11*T1^11*T2^10 + 5*T1^12*T2^10 - 
      3*T1^5*T2^11 + 8*T1^6*T2^11 - 11*T1^7*T2^11 + 7*T1^8*T2^11 + 
      7*T1^9*T2^11 - 11*T1^10*T2^11 + 8*T1^11*T2^11 - 3*T1^12*T2^11 + 
      T1^6*T2^12 - 3*T1^7*T2^12 + 5*T1^8*T2^12 - 7*T1^9*T2^12 + 
      5*T1^10*T2^12 - 3*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 512] -> 
  {(2 - 7*T + 15*T^2 - 19*T^3 + 15*T^4 - 7*T^5 + 2*T^6)/T^3, 
   -((9 - 31*T1 + 66*T1^2 - 83*T1^3 + 66*T1^4 - 31*T1^5 + 9*T1^6 - 31*T2 + 
      76*T1*T2 - 121*T1^2*T2 + 59*T1^3*T2 + 59*T1^4*T2 - 121*T1^5*T2 + 
      76*T1^6*T2 - 31*T1^7*T2 + 66*T2^2 - 121*T1*T2^2 + 230*T1^2*T2^2 - 
      184*T1^3*T2^2 + 164*T1^4*T2^2 - 184*T1^5*T2^2 + 230*T1^6*T2^2 - 
      121*T1^7*T2^2 + 66*T1^8*T2^2 - 83*T2^3 + 59*T1*T2^3 - 184*T1^2*T2^3 + 
      24*T1^3*T2^3 - 31*T1^4*T2^3 - 31*T1^5*T2^3 + 24*T1^6*T2^3 - 
      184*T1^7*T2^3 + 59*T1^8*T2^3 - 83*T1^9*T2^3 + 66*T2^4 + 59*T1*T2^4 + 
      164*T1^2*T2^4 - 31*T1^3*T2^4 + 399*T1^4*T2^4 - 405*T1^5*T2^4 + 
      399*T1^6*T2^4 - 31*T1^7*T2^4 + 164*T1^8*T2^4 + 59*T1^9*T2^4 + 
      66*T1^10*T2^4 - 31*T2^5 - 121*T1*T2^5 - 184*T1^2*T2^5 - 31*T1^3*T2^5 - 
      405*T1^4*T2^5 + 66*T1^5*T2^5 + 66*T1^6*T2^5 - 405*T1^7*T2^5 - 
      31*T1^8*T2^5 - 184*T1^9*T2^5 - 121*T1^10*T2^5 - 31*T1^11*T2^5 + 
      9*T2^6 + 76*T1*T2^6 + 230*T1^2*T2^6 + 24*T1^3*T2^6 + 399*T1^4*T2^6 + 
      66*T1^5*T2^6 + 24*T1^6*T2^6 + 66*T1^7*T2^6 + 399*T1^8*T2^6 + 
      24*T1^9*T2^6 + 230*T1^10*T2^6 + 76*T1^11*T2^6 + 9*T1^12*T2^6 - 
      31*T1*T2^7 - 121*T1^2*T2^7 - 184*T1^3*T2^7 - 31*T1^4*T2^7 - 
      405*T1^5*T2^7 + 66*T1^6*T2^7 + 66*T1^7*T2^7 - 405*T1^8*T2^7 - 
      31*T1^9*T2^7 - 184*T1^10*T2^7 - 121*T1^11*T2^7 - 31*T1^12*T2^7 + 
      66*T1^2*T2^8 + 59*T1^3*T2^8 + 164*T1^4*T2^8 - 31*T1^5*T2^8 + 
      399*T1^6*T2^8 - 405*T1^7*T2^8 + 399*T1^8*T2^8 - 31*T1^9*T2^8 + 
      164*T1^10*T2^8 + 59*T1^11*T2^8 + 66*T1^12*T2^8 - 83*T1^3*T2^9 + 
      59*T1^4*T2^9 - 184*T1^5*T2^9 + 24*T1^6*T2^9 - 31*T1^7*T2^9 - 
      31*T1^8*T2^9 + 24*T1^9*T2^9 - 184*T1^10*T2^9 + 59*T1^11*T2^9 - 
      83*T1^12*T2^9 + 66*T1^4*T2^10 - 121*T1^5*T2^10 + 230*T1^6*T2^10 - 
      184*T1^7*T2^10 + 164*T1^8*T2^10 - 184*T1^9*T2^10 + 230*T1^10*T2^10 - 
      121*T1^11*T2^10 + 66*T1^12*T2^10 - 31*T1^5*T2^11 + 76*T1^6*T2^11 - 
      121*T1^7*T2^11 + 59*T1^8*T2^11 + 59*T1^9*T2^11 - 121*T1^10*T2^11 + 
      76*T1^11*T2^11 - 31*T1^12*T2^11 + 9*T1^6*T2^12 - 31*T1^7*T2^12 + 
      66*T1^8*T2^12 - 83*T1^9*T2^12 + 66*T1^10*T2^12 - 31*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 513] -> 
  {-((2 - 13*T + 29*T^2 - 37*T^3 + 29*T^4 - 13*T^5 + 2*T^6)/T^3), 
   -((17 - 109*T1 + 239*T1^2 - 303*T1^3 + 239*T1^4 - 109*T1^5 + 17*T1^6 - 
      109*T2 + 598*T1*T2 - 837*T1^2*T2 + 411*T1^3*T2 + 411*T1^4*T2 - 
      837*T1^5*T2 + 598*T1^6*T2 - 109*T1^7*T2 + 239*T2^2 - 837*T1*T2^2 - 
      1020*T1^2*T2^2 + 4333*T1^3*T2^2 - 6122*T1^4*T2^2 + 4333*T1^5*T2^2 - 
      1020*T1^6*T2^2 - 837*T1^7*T2^2 + 239*T1^8*T2^2 - 303*T2^3 + 
      411*T1*T2^3 + 4333*T1^2*T2^3 - 7076*T1^3*T2^3 + 3708*T1^4*T2^3 + 
      3708*T1^5*T2^3 - 7076*T1^6*T2^3 + 4333*T1^7*T2^3 + 411*T1^8*T2^3 - 
      303*T1^9*T2^3 + 239*T2^4 + 411*T1*T2^4 - 6122*T1^2*T2^4 + 
      3708*T1^3*T2^4 + 4223*T1^4*T2^4 - 9373*T1^5*T2^4 + 4223*T1^6*T2^4 + 
      3708*T1^7*T2^4 - 6122*T1^8*T2^4 + 411*T1^9*T2^4 + 239*T1^10*T2^4 - 
      109*T2^5 - 837*T1*T2^5 + 4333*T1^2*T2^5 + 3708*T1^3*T2^5 - 
      9373*T1^4*T2^5 + 5642*T1^5*T2^5 + 5642*T1^6*T2^5 - 9373*T1^7*T2^5 + 
      3708*T1^8*T2^5 + 4333*T1^9*T2^5 - 837*T1^10*T2^5 - 109*T1^11*T2^5 + 
      17*T2^6 + 598*T1*T2^6 - 1020*T1^2*T2^6 - 7076*T1^3*T2^6 + 
      4223*T1^4*T2^6 + 5642*T1^5*T2^6 - 12456*T1^6*T2^6 + 5642*T1^7*T2^6 + 
      4223*T1^8*T2^6 - 7076*T1^9*T2^6 - 1020*T1^10*T2^6 + 598*T1^11*T2^6 + 
      17*T1^12*T2^6 - 109*T1*T2^7 - 837*T1^2*T2^7 + 4333*T1^3*T2^7 + 
      3708*T1^4*T2^7 - 9373*T1^5*T2^7 + 5642*T1^6*T2^7 + 5642*T1^7*T2^7 - 
      9373*T1^8*T2^7 + 3708*T1^9*T2^7 + 4333*T1^10*T2^7 - 837*T1^11*T2^7 - 
      109*T1^12*T2^7 + 239*T1^2*T2^8 + 411*T1^3*T2^8 - 6122*T1^4*T2^8 + 
      3708*T1^5*T2^8 + 4223*T1^6*T2^8 - 9373*T1^7*T2^8 + 4223*T1^8*T2^8 + 
      3708*T1^9*T2^8 - 6122*T1^10*T2^8 + 411*T1^11*T2^8 + 239*T1^12*T2^8 - 
      303*T1^3*T2^9 + 411*T1^4*T2^9 + 4333*T1^5*T2^9 - 7076*T1^6*T2^9 + 
      3708*T1^7*T2^9 + 3708*T1^8*T2^9 - 7076*T1^9*T2^9 + 4333*T1^10*T2^9 + 
      411*T1^11*T2^9 - 303*T1^12*T2^9 + 239*T1^4*T2^10 - 837*T1^5*T2^10 - 
      1020*T1^6*T2^10 + 4333*T1^7*T2^10 - 6122*T1^8*T2^10 + 4333*T1^9*T2^10 - 
      1020*T1^10*T2^10 - 837*T1^11*T2^10 + 239*T1^12*T2^10 - 109*T1^5*T2^11 + 
      598*T1^6*T2^11 - 837*T1^7*T2^11 + 411*T1^8*T2^11 + 411*T1^9*T2^11 - 
      837*T1^10*T2^11 + 598*T1^11*T2^11 - 109*T1^12*T2^11 + 17*T1^6*T2^12 - 
      109*T1^7*T2^12 + 239*T1^8*T2^12 - 303*T1^9*T2^12 + 239*T1^10*T2^12 - 
      109*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 514] -> 
  {(1 - 3*T + 8*T^2 - 11*T^3 + 8*T^4 - 3*T^5 + T^6)/T^3, 
   -((1 - 3*T1 + 8*T1^2 - 11*T1^3 + 8*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 - 
      15*T1^2*T2 + 9*T1^3*T2 + 9*T1^4*T2 - 15*T1^5*T2 + 6*T1^6*T2 - 
      3*T1^7*T2 + 8*T2^2 - 15*T1*T2^2 + 70*T1^2*T2^2 - 91*T1^3*T2^2 + 
      92*T1^4*T2^2 - 91*T1^5*T2^2 + 70*T1^6*T2^2 - 15*T1^7*T2^2 + 
      8*T1^8*T2^2 - 11*T2^3 + 9*T1*T2^3 - 91*T1^2*T2^3 + 38*T1^3*T2^3 - 
      5*T1^4*T2^3 - 5*T1^5*T2^3 + 38*T1^6*T2^3 - 91*T1^7*T2^3 + 9*T1^8*T2^3 - 
      11*T1^9*T2^3 + 8*T2^4 + 9*T1*T2^4 + 92*T1^2*T2^4 - 5*T1^3*T2^4 + 
      161*T1^4*T2^4 - 261*T1^5*T2^4 + 161*T1^6*T2^4 - 5*T1^7*T2^4 + 
      92*T1^8*T2^4 + 9*T1^9*T2^4 + 8*T1^10*T2^4 - 3*T2^5 - 15*T1*T2^5 - 
      91*T1^2*T2^5 - 5*T1^3*T2^5 - 261*T1^4*T2^5 + 158*T1^5*T2^5 + 
      158*T1^6*T2^5 - 261*T1^7*T2^5 - 5*T1^8*T2^5 - 91*T1^9*T2^5 - 
      15*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 6*T1*T2^6 + 70*T1^2*T2^6 + 
      38*T1^3*T2^6 + 161*T1^4*T2^6 + 158*T1^5*T2^6 - 360*T1^6*T2^6 + 
      158*T1^7*T2^6 + 161*T1^8*T2^6 + 38*T1^9*T2^6 + 70*T1^10*T2^6 + 
      6*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 - 15*T1^2*T2^7 - 91*T1^3*T2^7 - 
      5*T1^4*T2^7 - 261*T1^5*T2^7 + 158*T1^6*T2^7 + 158*T1^7*T2^7 - 
      261*T1^8*T2^7 - 5*T1^9*T2^7 - 91*T1^10*T2^7 - 15*T1^11*T2^7 - 
      3*T1^12*T2^7 + 8*T1^2*T2^8 + 9*T1^3*T2^8 + 92*T1^4*T2^8 - 5*T1^5*T2^8 + 
      161*T1^6*T2^8 - 261*T1^7*T2^8 + 161*T1^8*T2^8 - 5*T1^9*T2^8 + 
      92*T1^10*T2^8 + 9*T1^11*T2^8 + 8*T1^12*T2^8 - 11*T1^3*T2^9 + 
      9*T1^4*T2^9 - 91*T1^5*T2^9 + 38*T1^6*T2^9 - 5*T1^7*T2^9 - 5*T1^8*T2^9 + 
      38*T1^9*T2^9 - 91*T1^10*T2^9 + 9*T1^11*T2^9 - 11*T1^12*T2^9 + 
      8*T1^4*T2^10 - 15*T1^5*T2^10 + 70*T1^6*T2^10 - 91*T1^7*T2^10 + 
      92*T1^8*T2^10 - 91*T1^9*T2^10 + 70*T1^10*T2^10 - 15*T1^11*T2^10 + 
      8*T1^12*T2^10 - 3*T1^5*T2^11 + 6*T1^6*T2^11 - 15*T1^7*T2^11 + 
      9*T1^8*T2^11 + 9*T1^9*T2^11 - 15*T1^10*T2^11 + 6*T1^11*T2^11 - 
      3*T1^12*T2^11 + T1^6*T2^12 - 3*T1^7*T2^12 + 8*T1^8*T2^12 - 
      11*T1^9*T2^12 + 8*T1^10*T2^12 - 3*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, NonAlternating, 515] -> 
  {-((2 - 10*T + 20*T^2 - 25*T^3 + 20*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((17 - 84*T1 + 166*T1^2 - 207*T1^3 + 166*T1^4 - 84*T1^5 + 17*T1^6 - 
      84*T2 + 332*T1*T2 - 409*T1^2*T2 + 205*T1^3*T2 + 205*T1^4*T2 - 
      409*T1^5*T2 + 332*T1^6*T2 - 84*T1^7*T2 + 166*T2^2 - 409*T1*T2^2 - 
      229*T1^2*T2^2 + 1175*T1^3*T2^2 - 1775*T1^4*T2^2 + 1175*T1^5*T2^2 - 
      229*T1^6*T2^2 - 409*T1^7*T2^2 + 166*T1^8*T2^2 - 207*T2^3 + 
      205*T1*T2^3 + 1175*T1^2*T2^3 - 1718*T1^3*T2^3 + 1015*T1^4*T2^3 + 
      1015*T1^5*T2^3 - 1718*T1^6*T2^3 + 1175*T1^7*T2^3 + 205*T1^8*T2^3 - 
      207*T1^9*T2^3 + 166*T2^4 + 205*T1*T2^4 - 1775*T1^2*T2^4 + 
      1015*T1^3*T2^4 + 568*T1^4*T2^4 - 2056*T1^5*T2^4 + 568*T1^6*T2^4 + 
      1015*T1^7*T2^4 - 1775*T1^8*T2^4 + 205*T1^9*T2^4 + 166*T1^10*T2^4 - 
      84*T2^5 - 409*T1*T2^5 + 1175*T1^2*T2^5 + 1015*T1^3*T2^5 - 
      2056*T1^4*T2^5 + 1536*T1^5*T2^5 + 1536*T1^6*T2^5 - 2056*T1^7*T2^5 + 
      1015*T1^8*T2^5 + 1175*T1^9*T2^5 - 409*T1^10*T2^5 - 84*T1^11*T2^5 + 
      17*T2^6 + 332*T1*T2^6 - 229*T1^2*T2^6 - 1718*T1^3*T2^6 + 
      568*T1^4*T2^6 + 1536*T1^5*T2^6 - 3624*T1^6*T2^6 + 1536*T1^7*T2^6 + 
      568*T1^8*T2^6 - 1718*T1^9*T2^6 - 229*T1^10*T2^6 + 332*T1^11*T2^6 + 
      17*T1^12*T2^6 - 84*T1*T2^7 - 409*T1^2*T2^7 + 1175*T1^3*T2^7 + 
      1015*T1^4*T2^7 - 2056*T1^5*T2^7 + 1536*T1^6*T2^7 + 1536*T1^7*T2^7 - 
      2056*T1^8*T2^7 + 1015*T1^9*T2^7 + 1175*T1^10*T2^7 - 409*T1^11*T2^7 - 
      84*T1^12*T2^7 + 166*T1^2*T2^8 + 205*T1^3*T2^8 - 1775*T1^4*T2^8 + 
      1015*T1^5*T2^8 + 568*T1^6*T2^8 - 2056*T1^7*T2^8 + 568*T1^8*T2^8 + 
      1015*T1^9*T2^8 - 1775*T1^10*T2^8 + 205*T1^11*T2^8 + 166*T1^12*T2^8 - 
      207*T1^3*T2^9 + 205*T1^4*T2^9 + 1175*T1^5*T2^9 - 1718*T1^6*T2^9 + 
      1015*T1^7*T2^9 + 1015*T1^8*T2^9 - 1718*T1^9*T2^9 + 1175*T1^10*T2^9 + 
      205*T1^11*T2^9 - 207*T1^12*T2^9 + 166*T1^4*T2^10 - 409*T1^5*T2^10 - 
      229*T1^6*T2^10 + 1175*T1^7*T2^10 - 1775*T1^8*T2^10 + 1175*T1^9*T2^10 - 
      229*T1^10*T2^10 - 409*T1^11*T2^10 + 166*T1^12*T2^10 - 84*T1^5*T2^11 + 
      332*T1^6*T2^11 - 409*T1^7*T2^11 + 205*T1^8*T2^11 + 205*T1^9*T2^11 - 
      409*T1^10*T2^11 + 332*T1^11*T2^11 - 84*T1^12*T2^11 + 17*T1^6*T2^12 - 
      84*T1^7*T2^12 + 166*T1^8*T2^12 - 207*T1^9*T2^12 + 166*T1^10*T2^12 - 
      84*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 516] -> 
  {-((2 - 11*T + 22*T^2 - 27*T^3 + 22*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((17 - 92*T1 + 180*T1^2 - 219*T1^3 + 180*T1^4 - 92*T1^5 + 17*T1^6 - 
      92*T2 + 408*T1*T2 - 485*T1^2*T2 + 217*T1^3*T2 + 217*T1^4*T2 - 
      485*T1^5*T2 + 408*T1^6*T2 - 92*T1^7*T2 + 180*T2^2 - 485*T1*T2^2 - 
      551*T1^2*T2^2 + 1931*T1^3*T2^2 - 2579*T1^4*T2^2 + 1931*T1^5*T2^2 - 
      551*T1^6*T2^2 - 485*T1^7*T2^2 + 180*T1^8*T2^2 - 219*T2^3 + 
      217*T1*T2^3 + 1931*T1^2*T2^3 - 2586*T1^3*T2^3 + 1220*T1^4*T2^3 + 
      1220*T1^5*T2^3 - 2586*T1^6*T2^3 + 1931*T1^7*T2^3 + 217*T1^8*T2^3 - 
      219*T1^9*T2^3 + 180*T2^4 + 217*T1*T2^4 - 2579*T1^2*T2^4 + 
      1220*T1^3*T2^4 + 1228*T1^4*T2^4 - 2586*T1^5*T2^4 + 1228*T1^6*T2^4 + 
      1220*T1^7*T2^4 - 2579*T1^8*T2^4 + 217*T1^9*T2^4 + 180*T1^10*T2^4 - 
      92*T2^5 - 485*T1*T2^5 + 1931*T1^2*T2^5 + 1220*T1^3*T2^5 - 
      2586*T1^4*T2^5 + 1438*T1^5*T2^5 + 1438*T1^6*T2^5 - 2586*T1^7*T2^5 + 
      1220*T1^8*T2^5 + 1931*T1^9*T2^5 - 485*T1^10*T2^5 - 92*T1^11*T2^5 + 
      17*T2^6 + 408*T1*T2^6 - 551*T1^2*T2^6 - 2586*T1^3*T2^6 + 
      1228*T1^4*T2^6 + 1438*T1^5*T2^6 - 3072*T1^6*T2^6 + 1438*T1^7*T2^6 + 
      1228*T1^8*T2^6 - 2586*T1^9*T2^6 - 551*T1^10*T2^6 + 408*T1^11*T2^6 + 
      17*T1^12*T2^6 - 92*T1*T2^7 - 485*T1^2*T2^7 + 1931*T1^3*T2^7 + 
      1220*T1^4*T2^7 - 2586*T1^5*T2^7 + 1438*T1^6*T2^7 + 1438*T1^7*T2^7 - 
      2586*T1^8*T2^7 + 1220*T1^9*T2^7 + 1931*T1^10*T2^7 - 485*T1^11*T2^7 - 
      92*T1^12*T2^7 + 180*T1^2*T2^8 + 217*T1^3*T2^8 - 2579*T1^4*T2^8 + 
      1220*T1^5*T2^8 + 1228*T1^6*T2^8 - 2586*T1^7*T2^8 + 1228*T1^8*T2^8 + 
      1220*T1^9*T2^8 - 2579*T1^10*T2^8 + 217*T1^11*T2^8 + 180*T1^12*T2^8 - 
      219*T1^3*T2^9 + 217*T1^4*T2^9 + 1931*T1^5*T2^9 - 2586*T1^6*T2^9 + 
      1220*T1^7*T2^9 + 1220*T1^8*T2^9 - 2586*T1^9*T2^9 + 1931*T1^10*T2^9 + 
      217*T1^11*T2^9 - 219*T1^12*T2^9 + 180*T1^4*T2^10 - 485*T1^5*T2^10 - 
      551*T1^6*T2^10 + 1931*T1^7*T2^10 - 2579*T1^8*T2^10 + 1931*T1^9*T2^10 - 
      551*T1^10*T2^10 - 485*T1^11*T2^10 + 180*T1^12*T2^10 - 92*T1^5*T2^11 + 
      408*T1^6*T2^11 - 485*T1^7*T2^11 + 217*T1^8*T2^11 + 217*T1^9*T2^11 - 
      485*T1^10*T2^11 + 408*T1^11*T2^11 - 92*T1^12*T2^11 + 17*T1^6*T2^12 - 
      92*T1^7*T2^12 + 180*T1^8*T2^12 - 219*T1^9*T2^12 + 180*T1^10*T2^12 - 
      92*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   -((3 - 8*T1 + 9*T1^2 - 7*T1^3 + 9*T1^4 - 8*T1^5 + 3*T1^6 - 8*T2 + 
      12*T1*T2 + 4*T1^2*T2 - 10*T1^3*T2 - 10*T1^4*T2 + 4*T1^5*T2 + 
      12*T1^6*T2 - 8*T1^7*T2 + 9*T2^2 + 4*T1*T2^2 - 48*T1^2*T2^2 + 
      27*T1^3*T2^2 + 18*T1^4*T2^2 + 27*T1^5*T2^2 - 48*T1^6*T2^2 + 
      4*T1^7*T2^2 + 9*T1^8*T2^2 - 7*T2^3 - 10*T1*T2^3 + 27*T1^2*T2^3 + 
      72*T1^3*T2^3 - 70*T1^4*T2^3 - 70*T1^5*T2^3 + 72*T1^6*T2^3 + 
      27*T1^7*T2^3 - 10*T1^8*T2^3 - 7*T1^9*T2^3 + 9*T2^4 - 10*T1*T2^4 + 
      18*T1^2*T2^4 - 70*T1^3*T2^4 - 144*T1^4*T2^4 + 302*T1^5*T2^4 - 
      144*T1^6*T2^4 - 70*T1^7*T2^4 + 18*T1^8*T2^4 - 10*T1^9*T2^4 + 
      9*T1^10*T2^4 - 8*T2^5 + 4*T1*T2^5 + 27*T1^2*T2^5 - 70*T1^3*T2^5 + 
      302*T1^4*T2^5 - 164*T1^5*T2^5 - 164*T1^6*T2^5 + 302*T1^7*T2^5 - 
      70*T1^8*T2^5 + 27*T1^9*T2^5 + 4*T1^10*T2^5 - 8*T1^11*T2^5 + 3*T2^6 + 
      12*T1*T2^6 - 48*T1^2*T2^6 + 72*T1^3*T2^6 - 144*T1^4*T2^6 - 
      164*T1^5*T2^6 + 312*T1^6*T2^6 - 164*T1^7*T2^6 - 144*T1^8*T2^6 + 
      72*T1^9*T2^6 - 48*T1^10*T2^6 + 12*T1^11*T2^6 + 3*T1^12*T2^6 - 
      8*T1*T2^7 + 4*T1^2*T2^7 + 27*T1^3*T2^7 - 70*T1^4*T2^7 + 302*T1^5*T2^7 - 
      164*T1^6*T2^7 - 164*T1^7*T2^7 + 302*T1^8*T2^7 - 70*T1^9*T2^7 + 
      27*T1^10*T2^7 + 4*T1^11*T2^7 - 8*T1^12*T2^7 + 9*T1^2*T2^8 - 
      10*T1^3*T2^8 + 18*T1^4*T2^8 - 70*T1^5*T2^8 - 144*T1^6*T2^8 + 
      302*T1^7*T2^8 - 144*T1^8*T2^8 - 70*T1^9*T2^8 + 18*T1^10*T2^8 - 
      10*T1^11*T2^8 + 9*T1^12*T2^8 - 7*T1^3*T2^9 - 10*T1^4*T2^9 + 
      27*T1^5*T2^9 + 72*T1^6*T2^9 - 70*T1^7*T2^9 - 70*T1^8*T2^9 + 
      72*T1^9*T2^9 + 27*T1^10*T2^9 - 10*T1^11*T2^9 - 7*T1^12*T2^9 + 
      9*T1^4*T2^10 + 4*T1^5*T2^10 - 48*T1^6*T2^10 + 27*T1^7*T2^10 + 
      18*T1^8*T2^10 + 27*T1^9*T2^10 - 48*T1^10*T2^10 + 4*T1^11*T2^10 + 
      9*T1^12*T2^10 - 8*T1^5*T2^11 + 12*T1^6*T2^11 + 4*T1^7*T2^11 - 
      10*T1^8*T2^11 - 10*T1^9*T2^11 + 4*T1^10*T2^11 + 12*T1^11*T2^11 - 
      8*T1^12*T2^11 + 3*T1^6*T2^12 - 8*T1^7*T2^12 + 9*T1^8*T2^12 - 
      7*T1^9*T2^12 + 9*T1^10*T2^12 - 8*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^6*T2^6))}, 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)*
     (1 + T1 - 6*T1^2 + 9*T1^3 - 6*T1^4 + T1^5 + T1^6 + T2 + 2*T1*T2 - 
      5*T1^2*T2 + 3*T1^3*T2 + 3*T1^4*T2 - 5*T1^5*T2 + 2*T1^6*T2 + T1^7*T2 - 
      6*T2^2 - 5*T1*T2^2 + 30*T1^2*T2^2 - 58*T1^3*T2^2 + 68*T1^4*T2^2 - 
      58*T1^5*T2^2 + 30*T1^6*T2^2 - 5*T1^7*T2^2 - 6*T1^8*T2^2 + 9*T2^3 + 
      3*T1*T2^3 - 58*T1^2*T2^3 + 92*T1^3*T2^3 - 45*T1^4*T2^3 - 45*T1^5*T2^3 + 
      92*T1^6*T2^3 - 58*T1^7*T2^3 + 3*T1^8*T2^3 + 9*T1^9*T2^3 - 6*T2^4 + 
      3*T1*T2^4 + 68*T1^2*T2^4 - 45*T1^3*T2^4 - 76*T1^4*T2^4 + 
      154*T1^5*T2^4 - 76*T1^6*T2^4 - 45*T1^7*T2^4 + 68*T1^8*T2^4 + 
      3*T1^9*T2^4 - 6*T1^10*T2^4 + T2^5 - 5*T1*T2^5 - 58*T1^2*T2^5 - 
      45*T1^3*T2^5 + 154*T1^4*T2^5 - 98*T1^5*T2^5 - 98*T1^6*T2^5 + 
      154*T1^7*T2^5 - 45*T1^8*T2^5 - 58*T1^9*T2^5 - 5*T1^10*T2^5 + 
      T1^11*T2^5 + T2^6 + 2*T1*T2^6 + 30*T1^2*T2^6 + 92*T1^3*T2^6 - 
      76*T1^4*T2^6 - 98*T1^5*T2^6 + 228*T1^6*T2^6 - 98*T1^7*T2^6 - 
      76*T1^8*T2^6 + 92*T1^9*T2^6 + 30*T1^10*T2^6 + 2*T1^11*T2^6 + 
      T1^12*T2^6 + T1*T2^7 - 5*T1^2*T2^7 - 58*T1^3*T2^7 - 45*T1^4*T2^7 + 
      154*T1^5*T2^7 - 98*T1^6*T2^7 - 98*T1^7*T2^7 + 154*T1^8*T2^7 - 
      45*T1^9*T2^7 - 58*T1^10*T2^7 - 5*T1^11*T2^7 + T1^12*T2^7 - 
      6*T1^2*T2^8 + 3*T1^3*T2^8 + 68*T1^4*T2^8 - 45*T1^5*T2^8 - 
      76*T1^6*T2^8 + 154*T1^7*T2^8 - 76*T1^8*T2^8 - 45*T1^9*T2^8 + 
      68*T1^10*T2^8 + 3*T1^11*T2^8 - 6*T1^12*T2^8 + 9*T1^3*T2^9 + 
      3*T1^4*T2^9 - 58*T1^5*T2^9 + 92*T1^6*T2^9 - 45*T1^7*T2^9 - 
      45*T1^8*T2^9 + 92*T1^9*T2^9 - 58*T1^10*T2^9 + 3*T1^11*T2^9 + 
      9*T1^12*T2^9 - 6*T1^4*T2^10 - 5*T1^5*T2^10 + 30*T1^6*T2^10 - 
      58*T1^7*T2^10 + 68*T1^8*T2^10 - 58*T1^9*T2^10 + 30*T1^10*T2^10 - 
      5*T1^11*T2^10 - 6*T1^12*T2^10 + T1^5*T2^11 + 2*T1^6*T2^11 - 
      5*T1^7*T2^11 + 3*T1^8*T2^11 + 3*T1^9*T2^11 - 5*T1^10*T2^11 + 
      2*T1^11*T2^11 + T1^12*T2^11 + T1^6*T2^12 + T1^7*T2^12 - 6*T1^8*T2^12 + 
      9*T1^9*T2^12 - 6*T1^10*T2^12 + T1^11*T2^12 + T1^12*T2^12))/
    (T1^8*T2^8)}, 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 + 
     11*T1^2*T2^2 - 13*T1^3*T2^2 + 11*T1^4*T2^2 + 2*T1^5*T2^2 - 2*T1^6*T2^2 + 
     2*T2^3 + 2*T1*T2^3 - 13*T1^2*T2^3 + 6*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 + 11*T1^2*T2^4 + 
     6*T1^3*T2^4 - 12*T1^4*T2^4 + 6*T1^5*T2^4 + 11*T1^6*T2^4 - 8*T1^7*T2^4 + 
     2*T1*T2^5 + 2*T1^2*T2^5 - 13*T1^3*T2^5 + 6*T1^4*T2^5 + 6*T1^5*T2^5 - 
     13*T1^6*T2^5 + 2*T1^7*T2^5 + 2*T1^8*T2^5 - 2*T1^2*T2^6 + 2*T1^3*T2^6 + 
     11*T1^4*T2^6 - 13*T1^5*T2^6 + 11*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)/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 520] -> 
  {-((4 - 18*T + 27*T^2 - 18*T^3 + 4*T^4)/T^2), 
   (84 - 378*T1 + 562*T1^2 - 378*T1^3 + 84*T1^4 - 378*T2 + 1334*T1*T2 - 
     834*T1^2*T2 - 834*T1^3*T2 + 1334*T1^4*T2 - 378*T1^5*T2 + 562*T2^2 - 
     834*T1*T2^2 - 3439*T1^2*T2^2 + 6503*T1^3*T2^2 - 3439*T1^4*T2^2 - 
     834*T1^5*T2^2 + 562*T1^6*T2^2 - 378*T2^3 - 834*T1*T2^3 + 
     6503*T1^2*T2^3 - 4348*T1^3*T2^3 - 4348*T1^4*T2^3 + 6503*T1^5*T2^3 - 
     834*T1^6*T2^3 - 378*T1^7*T2^3 + 84*T2^4 + 1334*T1*T2^4 - 
     3439*T1^2*T2^4 - 4348*T1^3*T2^4 + 10368*T1^4*T2^4 - 4348*T1^5*T2^4 - 
     3439*T1^6*T2^4 + 1334*T1^7*T2^4 + 84*T1^8*T2^4 - 378*T1*T2^5 - 
     834*T1^2*T2^5 + 6503*T1^3*T2^5 - 4348*T1^4*T2^5 - 4348*T1^5*T2^5 + 
     6503*T1^6*T2^5 - 834*T1^7*T2^5 - 378*T1^8*T2^5 + 562*T1^2*T2^6 - 
     834*T1^3*T2^6 - 3439*T1^4*T2^6 + 6503*T1^5*T2^6 - 3439*T1^6*T2^6 - 
     834*T1^7*T2^6 + 562*T1^8*T2^6 - 378*T1^3*T2^7 + 1334*T1^4*T2^7 - 
     834*T1^5*T2^7 - 834*T1^6*T2^7 + 1334*T1^7*T2^7 - 378*T1^8*T2^7 + 
     84*T1^4*T2^8 - 378*T1^5*T2^8 + 562*T1^6*T2^8 - 378*T1^7*T2^8 + 
     84*T1^8*T2^8)/(T1^4*T2^4)}, 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), 
   -((1 - 6*T1 + 14*T1^2 - 18*T1^3 + 17*T1^4 - 18*T1^5 + 14*T1^6 - 6*T1^7 + 
      T1^8 - 6*T2 + 30*T1*T2 - 48*T1^2*T2 + 24*T1^3*T2 + 6*T1^4*T2 + 
      6*T1^5*T2 + 24*T1^6*T2 - 48*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 
      14*T2^2 - 48*T1*T2^2 - 5*T1^2*T2^2 + 164*T1^3*T2^2 - 206*T1^4*T2^2 + 
      99*T1^5*T2^2 - 206*T1^6*T2^2 + 164*T1^7*T2^2 - 5*T1^8*T2^2 - 
      48*T1^9*T2^2 + 14*T1^10*T2^2 - 18*T2^3 + 24*T1*T2^3 + 164*T1^2*T2^3 - 
      356*T1^3*T2^3 + 125*T1^4*T2^3 + 155*T1^5*T2^3 + 155*T1^6*T2^3 + 
      125*T1^7*T2^3 - 356*T1^8*T2^3 + 164*T1^9*T2^3 + 24*T1^10*T2^3 - 
      18*T1^11*T2^3 + 17*T2^4 + 6*T1*T2^4 - 206*T1^2*T2^4 + 125*T1^3*T2^4 + 
      494*T1^4*T2^4 - 641*T1^5*T2^4 + 62*T1^6*T2^4 - 641*T1^7*T2^4 + 
      494*T1^8*T2^4 + 125*T1^9*T2^4 - 206*T1^10*T2^4 + 6*T1^11*T2^4 + 
      17*T1^12*T2^4 - 18*T2^5 + 6*T1*T2^5 + 99*T1^2*T2^5 + 155*T1^3*T2^5 - 
      641*T1^4*T2^5 + 284*T1^5*T2^5 + 321*T1^6*T2^5 + 321*T1^7*T2^5 + 
      284*T1^8*T2^5 - 641*T1^9*T2^5 + 155*T1^10*T2^5 + 99*T1^11*T2^5 + 
      6*T1^12*T2^5 - 18*T1^13*T2^5 + 14*T2^6 + 24*T1*T2^6 - 206*T1^2*T2^6 + 
      155*T1^3*T2^6 + 62*T1^4*T2^6 + 321*T1^5*T2^6 - 675*T1^6*T2^6 + 
      299*T1^7*T2^6 - 675*T1^8*T2^6 + 321*T1^9*T2^6 + 62*T1^10*T2^6 + 
      155*T1^11*T2^6 - 206*T1^12*T2^6 + 24*T1^13*T2^6 + 14*T1^14*T2^6 - 
      6*T2^7 - 48*T1*T2^7 + 164*T1^2*T2^7 + 125*T1^3*T2^7 - 641*T1^4*T2^7 + 
      321*T1^5*T2^7 + 299*T1^6*T2^7 - 140*T1^7*T2^7 - 140*T1^8*T2^7 + 
      299*T1^9*T2^7 + 321*T1^10*T2^7 - 641*T1^11*T2^7 + 125*T1^12*T2^7 + 
      164*T1^13*T2^7 - 48*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 - 
      5*T1^2*T2^8 - 356*T1^3*T2^8 + 494*T1^4*T2^8 + 284*T1^5*T2^8 - 
      675*T1^6*T2^8 - 140*T1^7*T2^8 + 660*T1^8*T2^8 - 140*T1^9*T2^8 - 
      675*T1^10*T2^8 + 284*T1^11*T2^8 + 494*T1^12*T2^8 - 356*T1^13*T2^8 - 
      5*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 48*T1^2*T2^9 + 
      164*T1^3*T2^9 + 125*T1^4*T2^9 - 641*T1^5*T2^9 + 321*T1^6*T2^9 + 
      299*T1^7*T2^9 - 140*T1^8*T2^9 - 140*T1^9*T2^9 + 299*T1^10*T2^9 + 
      321*T1^11*T2^9 - 641*T1^12*T2^9 + 125*T1^13*T2^9 + 164*T1^14*T2^9 - 
      48*T1^15*T2^9 - 6*T1^16*T2^9 + 14*T1^2*T2^10 + 24*T1^3*T2^10 - 
      206*T1^4*T2^10 + 155*T1^5*T2^10 + 62*T1^6*T2^10 + 321*T1^7*T2^10 - 
      675*T1^8*T2^10 + 299*T1^9*T2^10 - 675*T1^10*T2^10 + 321*T1^11*T2^10 + 
      62*T1^12*T2^10 + 155*T1^13*T2^10 - 206*T1^14*T2^10 + 24*T1^15*T2^10 + 
      14*T1^16*T2^10 - 18*T1^3*T2^11 + 6*T1^4*T2^11 + 99*T1^5*T2^11 + 
      155*T1^6*T2^11 - 641*T1^7*T2^11 + 284*T1^8*T2^11 + 321*T1^9*T2^11 + 
      321*T1^10*T2^11 + 284*T1^11*T2^11 - 641*T1^12*T2^11 + 155*T1^13*T2^11 + 
      99*T1^14*T2^11 + 6*T1^15*T2^11 - 18*T1^16*T2^11 + 17*T1^4*T2^12 + 
      6*T1^5*T2^12 - 206*T1^6*T2^12 + 125*T1^7*T2^12 + 494*T1^8*T2^12 - 
      641*T1^9*T2^12 + 62*T1^10*T2^12 - 641*T1^11*T2^12 + 494*T1^12*T2^12 + 
      125*T1^13*T2^12 - 206*T1^14*T2^12 + 6*T1^15*T2^12 + 17*T1^16*T2^12 - 
      18*T1^5*T2^13 + 24*T1^6*T2^13 + 164*T1^7*T2^13 - 356*T1^8*T2^13 + 
      125*T1^9*T2^13 + 155*T1^10*T2^13 + 155*T1^11*T2^13 + 125*T1^12*T2^13 - 
      356*T1^13*T2^13 + 164*T1^14*T2^13 + 24*T1^15*T2^13 - 18*T1^16*T2^13 + 
      14*T1^6*T2^14 - 48*T1^7*T2^14 - 5*T1^8*T2^14 + 164*T1^9*T2^14 - 
      206*T1^10*T2^14 + 99*T1^11*T2^14 - 206*T1^12*T2^14 + 164*T1^13*T2^14 - 
      5*T1^14*T2^14 - 48*T1^15*T2^14 + 14*T1^16*T2^14 - 6*T1^7*T2^15 + 
      30*T1^8*T2^15 - 48*T1^9*T2^15 + 24*T1^10*T2^15 + 6*T1^11*T2^15 + 
      6*T1^12*T2^15 + 24*T1^13*T2^15 - 48*T1^14*T2^15 + 30*T1^15*T2^15 - 
      6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 14*T1^10*T2^16 - 
      18*T1^11*T2^16 + 17*T1^12*T2^16 - 18*T1^13*T2^16 + 14*T1^14*T2^16 - 
      6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 522] -> 
  {(1 - 2*T + 5*T^2 - 7*T^3 + 5*T^4 - 2*T^5 + T^6)/T^3, 
   -((1 - 2*T1 + 5*T1^2 - 7*T1^3 + 5*T1^4 - 2*T1^5 + T1^6 - 2*T2 + 2*T1*T2 - 
      6*T1^2*T2 + 4*T1^3*T2 + 4*T1^4*T2 - 6*T1^5*T2 + 2*T1^6*T2 - 2*T1^7*T2 + 
      5*T2^2 - 6*T1*T2^2 + 38*T1^2*T2^2 - 51*T1^3*T2^2 + 50*T1^4*T2^2 - 
      51*T1^5*T2^2 + 38*T1^6*T2^2 - 6*T1^7*T2^2 + 5*T1^8*T2^2 - 7*T2^3 + 
      4*T1*T2^3 - 51*T1^2*T2^3 + 26*T1^3*T2^3 - 2*T1^4*T2^3 - 2*T1^5*T2^3 + 
      26*T1^6*T2^3 - 51*T1^7*T2^3 + 4*T1^8*T2^3 - 7*T1^9*T2^3 + 5*T2^4 + 
      4*T1*T2^4 + 50*T1^2*T2^4 - 2*T1^3*T2^4 + 40*T1^4*T2^4 - 82*T1^5*T2^4 + 
      40*T1^6*T2^4 - 2*T1^7*T2^4 + 50*T1^8*T2^4 + 4*T1^9*T2^4 + 
      5*T1^10*T2^4 - 2*T2^5 - 6*T1*T2^5 - 51*T1^2*T2^5 - 2*T1^3*T2^5 - 
      82*T1^4*T2^5 + 60*T1^5*T2^5 + 60*T1^6*T2^5 - 82*T1^7*T2^5 - 
      2*T1^8*T2^5 - 51*T1^9*T2^5 - 6*T1^10*T2^5 - 2*T1^11*T2^5 + T2^6 + 
      2*T1*T2^6 + 38*T1^2*T2^6 + 26*T1^3*T2^6 + 40*T1^4*T2^6 + 60*T1^5*T2^6 - 
      144*T1^6*T2^6 + 60*T1^7*T2^6 + 40*T1^8*T2^6 + 26*T1^9*T2^6 + 
      38*T1^10*T2^6 + 2*T1^11*T2^6 + T1^12*T2^6 - 2*T1*T2^7 - 6*T1^2*T2^7 - 
      51*T1^3*T2^7 - 2*T1^4*T2^7 - 82*T1^5*T2^7 + 60*T1^6*T2^7 + 
      60*T1^7*T2^7 - 82*T1^8*T2^7 - 2*T1^9*T2^7 - 51*T1^10*T2^7 - 
      6*T1^11*T2^7 - 2*T1^12*T2^7 + 5*T1^2*T2^8 + 4*T1^3*T2^8 + 
      50*T1^4*T2^8 - 2*T1^5*T2^8 + 40*T1^6*T2^8 - 82*T1^7*T2^8 + 
      40*T1^8*T2^8 - 2*T1^9*T2^8 + 50*T1^10*T2^8 + 4*T1^11*T2^8 + 
      5*T1^12*T2^8 - 7*T1^3*T2^9 + 4*T1^4*T2^9 - 51*T1^5*T2^9 + 
      26*T1^6*T2^9 - 2*T1^7*T2^9 - 2*T1^8*T2^9 + 26*T1^9*T2^9 - 
      51*T1^10*T2^9 + 4*T1^11*T2^9 - 7*T1^12*T2^9 + 5*T1^4*T2^10 - 
      6*T1^5*T2^10 + 38*T1^6*T2^10 - 51*T1^7*T2^10 + 50*T1^8*T2^10 - 
      51*T1^9*T2^10 + 38*T1^10*T2^10 - 6*T1^11*T2^10 + 5*T1^12*T2^10 - 
      2*T1^5*T2^11 + 2*T1^6*T2^11 - 6*T1^7*T2^11 + 4*T1^8*T2^11 + 
      4*T1^9*T2^11 - 6*T1^10*T2^11 + 2*T1^11*T2^11 - 2*T1^12*T2^11 + 
      T1^6*T2^12 - 2*T1^7*T2^12 + 5*T1^8*T2^12 - 7*T1^9*T2^12 + 
      5*T1^10*T2^12 - 2*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 523] -> {(2 - 3*T + 3*T^2 - 3*T^3 + 2*T^4)/T^2, 
   -((1 - 2*T1 + 3*T1^2 - 2*T1^3 + T1^4 - 2*T2 + 8*T1*T2 - 6*T1^2*T2 - 
      6*T1^3*T2 + 8*T1^4*T2 - 2*T1^5*T2 + 3*T2^2 - 6*T1*T2^2 + 51*T1^2*T2^2 - 
      75*T1^3*T2^2 + 51*T1^4*T2^2 - 6*T1^5*T2^2 + 3*T1^6*T2^2 - 2*T2^3 - 
      6*T1*T2^3 - 75*T1^2*T2^3 + 44*T1^3*T2^3 + 44*T1^4*T2^3 - 75*T1^5*T2^3 - 
      6*T1^6*T2^3 - 2*T1^7*T2^3 + T2^4 + 8*T1*T2^4 + 51*T1^2*T2^4 + 
      44*T1^3*T2^4 - 96*T1^4*T2^4 + 44*T1^5*T2^4 + 51*T1^6*T2^4 + 
      8*T1^7*T2^4 + T1^8*T2^4 - 2*T1*T2^5 - 6*T1^2*T2^5 - 75*T1^3*T2^5 + 
      44*T1^4*T2^5 + 44*T1^5*T2^5 - 75*T1^6*T2^5 - 6*T1^7*T2^5 - 
      2*T1^8*T2^5 + 3*T1^2*T2^6 - 6*T1^3*T2^6 + 51*T1^4*T2^6 - 75*T1^5*T2^6 + 
      51*T1^6*T2^6 - 6*T1^7*T2^6 + 3*T1^8*T2^6 - 2*T1^3*T2^7 + 8*T1^4*T2^7 - 
      6*T1^5*T2^7 - 6*T1^6*T2^7 + 8*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)/(T1^4*T2^4))}, 
 Knot[12, NonAlternating, 524] -> 
  {(2 - 11*T + 21*T^2 - 23*T^3 + 21*T^4 - 11*T^5 + 2*T^6)/T^3, 
   (9 - 49*T1 + 92*T1^2 - 99*T1^3 + 92*T1^4 - 49*T1^5 + 9*T1^6 - 49*T2 + 
     218*T1*T2 - 235*T1^2*T2 + 39*T1^3*T2 + 39*T1^4*T2 - 235*T1^5*T2 + 
     218*T1^6*T2 - 49*T1^7*T2 + 92*T2^2 - 235*T1*T2^2 - 408*T1^2*T2^2 + 
     1195*T1^3*T2^2 - 1050*T1^4*T2^2 + 1195*T1^5*T2^2 - 408*T1^6*T2^2 - 
     235*T1^7*T2^2 + 92*T1^8*T2^2 - 99*T2^3 + 39*T1*T2^3 + 1195*T1^2*T2^3 - 
     1470*T1^3*T2^3 + 49*T1^4*T2^3 + 49*T1^5*T2^3 - 1470*T1^6*T2^3 + 
     1195*T1^7*T2^3 + 39*T1^8*T2^3 - 99*T1^9*T2^3 + 92*T2^4 + 39*T1*T2^4 - 
     1050*T1^2*T2^4 + 49*T1^3*T2^4 + 2184*T1^4*T2^4 - 1750*T1^5*T2^4 + 
     2184*T1^6*T2^4 + 49*T1^7*T2^4 - 1050*T1^8*T2^4 + 39*T1^9*T2^4 + 
     92*T1^10*T2^4 - 49*T2^5 - 235*T1*T2^5 + 1195*T1^2*T2^5 + 49*T1^3*T2^5 - 
     1750*T1^4*T2^5 + 284*T1^5*T2^5 + 284*T1^6*T2^5 - 1750*T1^7*T2^5 + 
     49*T1^8*T2^5 + 1195*T1^9*T2^5 - 235*T1^10*T2^5 - 49*T1^11*T2^5 + 
     9*T2^6 + 218*T1*T2^6 - 408*T1^2*T2^6 - 1470*T1^3*T2^6 + 2184*T1^4*T2^6 + 
     284*T1^5*T2^6 - 600*T1^6*T2^6 + 284*T1^7*T2^6 + 2184*T1^8*T2^6 - 
     1470*T1^9*T2^6 - 408*T1^10*T2^6 + 218*T1^11*T2^6 + 9*T1^12*T2^6 - 
     49*T1*T2^7 - 235*T1^2*T2^7 + 1195*T1^3*T2^7 + 49*T1^4*T2^7 - 
     1750*T1^5*T2^7 + 284*T1^6*T2^7 + 284*T1^7*T2^7 - 1750*T1^8*T2^7 + 
     49*T1^9*T2^7 + 1195*T1^10*T2^7 - 235*T1^11*T2^7 - 49*T1^12*T2^7 + 
     92*T1^2*T2^8 + 39*T1^3*T2^8 - 1050*T1^4*T2^8 + 49*T1^5*T2^8 + 
     2184*T1^6*T2^8 - 1750*T1^7*T2^8 + 2184*T1^8*T2^8 + 49*T1^9*T2^8 - 
     1050*T1^10*T2^8 + 39*T1^11*T2^8 + 92*T1^12*T2^8 - 99*T1^3*T2^9 + 
     39*T1^4*T2^9 + 1195*T1^5*T2^9 - 1470*T1^6*T2^9 + 49*T1^7*T2^9 + 
     49*T1^8*T2^9 - 1470*T1^9*T2^9 + 1195*T1^10*T2^9 + 39*T1^11*T2^9 - 
     99*T1^12*T2^9 + 92*T1^4*T2^10 - 235*T1^5*T2^10 - 408*T1^6*T2^10 + 
     1195*T1^7*T2^10 - 1050*T1^8*T2^10 + 1195*T1^9*T2^10 - 408*T1^10*T2^10 - 
     235*T1^11*T2^10 + 92*T1^12*T2^10 - 49*T1^5*T2^11 + 218*T1^6*T2^11 - 
     235*T1^7*T2^11 + 39*T1^8*T2^11 + 39*T1^9*T2^11 - 235*T1^10*T2^11 + 
     218*T1^11*T2^11 - 49*T1^12*T2^11 + 9*T1^6*T2^12 - 49*T1^7*T2^12 + 
     92*T1^8*T2^12 - 99*T1^9*T2^12 + 92*T1^10*T2^12 - 49*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 525] -> 
  {-((1 - 8*T + 28*T^2 - 43*T^3 + 28*T^4 - 8*T^5 + T^6)/T^3), 
   (6 + 8*T1 - 36*T1^2 + 8*T1^3 + 6*T1^4 + 8*T2 - 184*T1*T2 + 215*T1^2*T2 + 
     215*T1^3*T2 - 184*T1^4*T2 + 8*T1^5*T2 - 36*T2^2 + 215*T1*T2^2 + 
     720*T1^2*T2^2 - 2116*T1^3*T2^2 + 720*T1^4*T2^2 + 215*T1^5*T2^2 - 
     36*T1^6*T2^2 + 8*T2^3 + 215*T1*T2^3 - 2116*T1^2*T2^3 + 2244*T1^3*T2^3 + 
     2244*T1^4*T2^3 - 2116*T1^5*T2^3 + 215*T1^6*T2^3 + 8*T1^7*T2^3 + 6*T2^4 - 
     184*T1*T2^4 + 720*T1^2*T2^4 + 2244*T1^3*T2^4 - 6480*T1^4*T2^4 + 
     2244*T1^5*T2^4 + 720*T1^6*T2^4 - 184*T1^7*T2^4 + 6*T1^8*T2^4 + 
     8*T1*T2^5 + 215*T1^2*T2^5 - 2116*T1^3*T2^5 + 2244*T1^4*T2^5 + 
     2244*T1^5*T2^5 - 2116*T1^6*T2^5 + 215*T1^7*T2^5 + 8*T1^8*T2^5 - 
     36*T1^2*T2^6 + 215*T1^3*T2^6 + 720*T1^4*T2^6 - 2116*T1^5*T2^6 + 
     720*T1^6*T2^6 + 215*T1^7*T2^6 - 36*T1^8*T2^6 + 8*T1^3*T2^7 - 
     184*T1^4*T2^7 + 215*T1^5*T2^7 + 215*T1^6*T2^7 - 184*T1^7*T2^7 + 
     8*T1^8*T2^7 + 6*T1^4*T2^8 + 8*T1^5*T2^8 - 36*T1^6*T2^8 + 8*T1^7*T2^8 + 
     6*T1^8*T2^8)/(T1^4*T2^4)}, 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, 
   (2 - 8*T1 + 12*T1^2 - 6*T1^3 + 2*T1^4 - 6*T1^5 + 12*T1^6 - 8*T1^7 + 
     2*T1^8 - 8*T2 + 24*T1*T2 - 16*T1^2*T2 - 24*T1^3*T2 + 16*T1^4*T2 + 
     16*T1^5*T2 - 24*T1^6*T2 - 16*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 
     12*T2^2 - 16*T1*T2^2 - 42*T1^2*T2^2 + 103*T1^3*T2^2 - 6*T1^4*T2^2 - 
     44*T1^5*T2^2 - 6*T1^6*T2^2 + 103*T1^7*T2^2 - 42*T1^8*T2^2 - 
     16*T1^9*T2^2 + 12*T1^10*T2^2 - 6*T2^3 - 24*T1*T2^3 + 103*T1^2*T2^3 - 
     72*T1^3*T2^3 - 135*T1^4*T2^3 + 77*T1^5*T2^3 + 77*T1^6*T2^3 - 
     135*T1^7*T2^3 - 72*T1^8*T2^3 + 103*T1^9*T2^3 - 24*T1^10*T2^3 - 
     6*T1^11*T2^3 + 2*T2^4 + 16*T1*T2^4 - 6*T1^2*T2^4 - 135*T1^3*T2^4 + 
     254*T1^4*T2^4 - 26*T1^5*T2^4 - 88*T1^6*T2^4 - 26*T1^7*T2^4 + 
     254*T1^8*T2^4 - 135*T1^9*T2^4 - 6*T1^10*T2^4 + 16*T1^11*T2^4 + 
     2*T1^12*T2^4 - 6*T2^5 + 16*T1*T2^5 - 44*T1^2*T2^5 + 77*T1^3*T2^5 - 
     26*T1^4*T2^5 - 120*T1^5*T2^5 + 74*T1^6*T2^5 + 74*T1^7*T2^5 - 
     120*T1^8*T2^5 - 26*T1^9*T2^5 + 77*T1^10*T2^5 - 44*T1^11*T2^5 + 
     16*T1^12*T2^5 - 6*T1^13*T2^5 + 12*T2^6 - 24*T1*T2^6 - 6*T1^2*T2^6 + 
     77*T1^3*T2^6 - 88*T1^4*T2^6 + 74*T1^5*T2^6 - 35*T1^6*T2^6 - 
     27*T1^7*T2^6 - 35*T1^8*T2^6 + 74*T1^9*T2^6 - 88*T1^10*T2^6 + 
     77*T1^11*T2^6 - 6*T1^12*T2^6 - 24*T1^13*T2^6 + 12*T1^14*T2^6 - 8*T2^7 - 
     16*T1*T2^7 + 103*T1^2*T2^7 - 135*T1^3*T2^7 - 26*T1^4*T2^7 + 
     74*T1^5*T2^7 - 27*T1^6*T2^7 + 42*T1^7*T2^7 + 42*T1^8*T2^7 - 
     27*T1^9*T2^7 + 74*T1^10*T2^7 - 26*T1^11*T2^7 - 135*T1^12*T2^7 + 
     103*T1^13*T2^7 - 16*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 24*T1*T2^8 - 
     42*T1^2*T2^8 - 72*T1^3*T2^8 + 254*T1^4*T2^8 - 120*T1^5*T2^8 - 
     35*T1^6*T2^8 + 42*T1^7*T2^8 - 108*T1^8*T2^8 + 42*T1^9*T2^8 - 
     35*T1^10*T2^8 - 120*T1^11*T2^8 + 254*T1^12*T2^8 - 72*T1^13*T2^8 - 
     42*T1^14*T2^8 + 24*T1^15*T2^8 + 2*T1^16*T2^8 - 8*T1*T2^9 - 
     16*T1^2*T2^9 + 103*T1^3*T2^9 - 135*T1^4*T2^9 - 26*T1^5*T2^9 + 
     74*T1^6*T2^9 - 27*T1^7*T2^9 + 42*T1^8*T2^9 + 42*T1^9*T2^9 - 
     27*T1^10*T2^9 + 74*T1^11*T2^9 - 26*T1^12*T2^9 - 135*T1^13*T2^9 + 
     103*T1^14*T2^9 - 16*T1^15*T2^9 - 8*T1^16*T2^9 + 12*T1^2*T2^10 - 
     24*T1^3*T2^10 - 6*T1^4*T2^10 + 77*T1^5*T2^10 - 88*T1^6*T2^10 + 
     74*T1^7*T2^10 - 35*T1^8*T2^10 - 27*T1^9*T2^10 - 35*T1^10*T2^10 + 
     74*T1^11*T2^10 - 88*T1^12*T2^10 + 77*T1^13*T2^10 - 6*T1^14*T2^10 - 
     24*T1^15*T2^10 + 12*T1^16*T2^10 - 6*T1^3*T2^11 + 16*T1^4*T2^11 - 
     44*T1^5*T2^11 + 77*T1^6*T2^11 - 26*T1^7*T2^11 - 120*T1^8*T2^11 + 
     74*T1^9*T2^11 + 74*T1^10*T2^11 - 120*T1^11*T2^11 - 26*T1^12*T2^11 + 
     77*T1^13*T2^11 - 44*T1^14*T2^11 + 16*T1^15*T2^11 - 6*T1^16*T2^11 + 
     2*T1^4*T2^12 + 16*T1^5*T2^12 - 6*T1^6*T2^12 - 135*T1^7*T2^12 + 
     254*T1^8*T2^12 - 26*T1^9*T2^12 - 88*T1^10*T2^12 - 26*T1^11*T2^12 + 
     254*T1^12*T2^12 - 135*T1^13*T2^12 - 6*T1^14*T2^12 + 16*T1^15*T2^12 + 
     2*T1^16*T2^12 - 6*T1^5*T2^13 - 24*T1^6*T2^13 + 103*T1^7*T2^13 - 
     72*T1^8*T2^13 - 135*T1^9*T2^13 + 77*T1^10*T2^13 + 77*T1^11*T2^13 - 
     135*T1^12*T2^13 - 72*T1^13*T2^13 + 103*T1^14*T2^13 - 24*T1^15*T2^13 - 
     6*T1^16*T2^13 + 12*T1^6*T2^14 - 16*T1^7*T2^14 - 42*T1^8*T2^14 + 
     103*T1^9*T2^14 - 6*T1^10*T2^14 - 44*T1^11*T2^14 - 6*T1^12*T2^14 + 
     103*T1^13*T2^14 - 42*T1^14*T2^14 - 16*T1^15*T2^14 + 12*T1^16*T2^14 - 
     8*T1^7*T2^15 + 24*T1^8*T2^15 - 16*T1^9*T2^15 - 24*T1^10*T2^15 + 
     16*T1^11*T2^15 + 16*T1^12*T2^15 - 24*T1^13*T2^15 - 16*T1^14*T2^15 + 
     24*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)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 527] -> 
  {-((3 - 12*T + 20*T^2 - 23*T^3 + 20*T^4 - 12*T^5 + 3*T^6)/T^3), 
   -((57 - 225*T1 + 368*T1^2 - 421*T1^3 + 368*T1^4 - 225*T1^5 + 57*T1^6 - 
      225*T2 + 664*T1*T2 - 567*T1^2*T2 + 210*T1^3*T2 + 210*T1^4*T2 - 
      567*T1^5*T2 + 664*T1^6*T2 - 225*T1^7*T2 + 368*T2^2 - 567*T1*T2^2 - 
      772*T1^2*T2^2 + 1665*T1^3*T2^2 - 1950*T1^4*T2^2 + 1665*T1^5*T2^2 - 
      772*T1^6*T2^2 - 567*T1^7*T2^2 + 368*T1^8*T2^2 - 421*T2^3 + 
      210*T1*T2^3 + 1665*T1^2*T2^3 - 1352*T1^3*T2^3 + 493*T1^4*T2^3 + 
      493*T1^5*T2^3 - 1352*T1^6*T2^3 + 1665*T1^7*T2^3 + 210*T1^8*T2^3 - 
      421*T1^9*T2^3 + 368*T2^4 + 210*T1*T2^4 - 1950*T1^2*T2^4 + 
      493*T1^3*T2^4 + 222*T1^4*T2^4 - 528*T1^5*T2^4 + 222*T1^6*T2^4 + 
      493*T1^7*T2^4 - 1950*T1^8*T2^4 + 210*T1^9*T2^4 + 368*T1^10*T2^4 - 
      225*T2^5 - 567*T1*T2^5 + 1665*T1^2*T2^5 + 493*T1^3*T2^5 - 
      528*T1^4*T2^5 + 314*T1^5*T2^5 + 314*T1^6*T2^5 - 528*T1^7*T2^5 + 
      493*T1^8*T2^5 + 1665*T1^9*T2^5 - 567*T1^10*T2^5 - 225*T1^11*T2^5 + 
      57*T2^6 + 664*T1*T2^6 - 772*T1^2*T2^6 - 1352*T1^3*T2^6 + 
      222*T1^4*T2^6 + 314*T1^5*T2^6 - 732*T1^6*T2^6 + 314*T1^7*T2^6 + 
      222*T1^8*T2^6 - 1352*T1^9*T2^6 - 772*T1^10*T2^6 + 664*T1^11*T2^6 + 
      57*T1^12*T2^6 - 225*T1*T2^7 - 567*T1^2*T2^7 + 1665*T1^3*T2^7 + 
      493*T1^4*T2^7 - 528*T1^5*T2^7 + 314*T1^6*T2^7 + 314*T1^7*T2^7 - 
      528*T1^8*T2^7 + 493*T1^9*T2^7 + 1665*T1^10*T2^7 - 567*T1^11*T2^7 - 
      225*T1^12*T2^7 + 368*T1^2*T2^8 + 210*T1^3*T2^8 - 1950*T1^4*T2^8 + 
      493*T1^5*T2^8 + 222*T1^6*T2^8 - 528*T1^7*T2^8 + 222*T1^8*T2^8 + 
      493*T1^9*T2^8 - 1950*T1^10*T2^8 + 210*T1^11*T2^8 + 368*T1^12*T2^8 - 
      421*T1^3*T2^9 + 210*T1^4*T2^9 + 1665*T1^5*T2^9 - 1352*T1^6*T2^9 + 
      493*T1^7*T2^9 + 493*T1^8*T2^9 - 1352*T1^9*T2^9 + 1665*T1^10*T2^9 + 
      210*T1^11*T2^9 - 421*T1^12*T2^9 + 368*T1^4*T2^10 - 567*T1^5*T2^10 - 
      772*T1^6*T2^10 + 1665*T1^7*T2^10 - 1950*T1^8*T2^10 + 1665*T1^9*T2^10 - 
      772*T1^10*T2^10 - 567*T1^11*T2^10 + 368*T1^12*T2^10 - 225*T1^5*T2^11 + 
      664*T1^6*T2^11 - 567*T1^7*T2^11 + 210*T1^8*T2^11 + 210*T1^9*T2^11 - 
      567*T1^10*T2^11 + 664*T1^11*T2^11 - 225*T1^12*T2^11 + 57*T1^6*T2^12 - 
      225*T1^7*T2^12 + 368*T1^8*T2^12 - 421*T1^9*T2^12 + 368*T1^10*T2^12 - 
      225*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 528] -> 
  {(1 + 2*T - 10*T^2 + 15*T^3 - 10*T^4 + 2*T^5 + T^6)/T^3, 
   -((3 + 6*T1 - 30*T1^2 + 45*T1^3 - 30*T1^4 + 6*T1^5 + 3*T1^6 + 6*T2 + 
      16*T1*T2 - 44*T1^2*T2 + 28*T1^3*T2 + 28*T1^4*T2 - 44*T1^5*T2 + 
      16*T1^6*T2 + 6*T1^7*T2 - 30*T2^2 - 44*T1*T2^2 + 273*T1^2*T2^2 - 
      551*T1^3*T2^2 + 663*T1^4*T2^2 - 551*T1^5*T2^2 + 273*T1^6*T2^2 - 
      44*T1^7*T2^2 - 30*T1^8*T2^2 + 45*T2^3 + 28*T1*T2^3 - 551*T1^2*T2^3 + 
      962*T1^3*T2^3 - 512*T1^4*T2^3 - 512*T1^5*T2^3 + 962*T1^6*T2^3 - 
      551*T1^7*T2^3 + 28*T1^8*T2^3 + 45*T1^9*T2^3 - 30*T2^4 + 28*T1*T2^4 + 
      663*T1^2*T2^4 - 512*T1^3*T2^4 - 893*T1^4*T2^4 + 1933*T1^5*T2^4 - 
      893*T1^6*T2^4 - 512*T1^7*T2^4 + 663*T1^8*T2^4 + 28*T1^9*T2^4 - 
      30*T1^10*T2^4 + 6*T2^5 - 44*T1*T2^5 - 551*T1^2*T2^5 - 512*T1^3*T2^5 + 
      1933*T1^4*T2^5 - 1328*T1^5*T2^5 - 1328*T1^6*T2^5 + 1933*T1^7*T2^5 - 
      512*T1^8*T2^5 - 551*T1^9*T2^5 - 44*T1^10*T2^5 + 6*T1^11*T2^5 + 3*T2^6 + 
      16*T1*T2^6 + 273*T1^2*T2^6 + 962*T1^3*T2^6 - 893*T1^4*T2^6 - 
      1328*T1^5*T2^6 + 3192*T1^6*T2^6 - 1328*T1^7*T2^6 - 893*T1^8*T2^6 + 
      962*T1^9*T2^6 + 273*T1^10*T2^6 + 16*T1^11*T2^6 + 3*T1^12*T2^6 + 
      6*T1*T2^7 - 44*T1^2*T2^7 - 551*T1^3*T2^7 - 512*T1^4*T2^7 + 
      1933*T1^5*T2^7 - 1328*T1^6*T2^7 - 1328*T1^7*T2^7 + 1933*T1^8*T2^7 - 
      512*T1^9*T2^7 - 551*T1^10*T2^7 - 44*T1^11*T2^7 + 6*T1^12*T2^7 - 
      30*T1^2*T2^8 + 28*T1^3*T2^8 + 663*T1^4*T2^8 - 512*T1^5*T2^8 - 
      893*T1^6*T2^8 + 1933*T1^7*T2^8 - 893*T1^8*T2^8 - 512*T1^9*T2^8 + 
      663*T1^10*T2^8 + 28*T1^11*T2^8 - 30*T1^12*T2^8 + 45*T1^3*T2^9 + 
      28*T1^4*T2^9 - 551*T1^5*T2^9 + 962*T1^6*T2^9 - 512*T1^7*T2^9 - 
      512*T1^8*T2^9 + 962*T1^9*T2^9 - 551*T1^10*T2^9 + 28*T1^11*T2^9 + 
      45*T1^12*T2^9 - 30*T1^4*T2^10 - 44*T1^5*T2^10 + 273*T1^6*T2^10 - 
      551*T1^7*T2^10 + 663*T1^8*T2^10 - 551*T1^9*T2^10 + 273*T1^10*T2^10 - 
      44*T1^11*T2^10 - 30*T1^12*T2^10 + 6*T1^5*T2^11 + 16*T1^6*T2^11 - 
      44*T1^7*T2^11 + 28*T1^8*T2^11 + 28*T1^9*T2^11 - 44*T1^10*T2^11 + 
      16*T1^11*T2^11 + 6*T1^12*T2^11 + 3*T1^6*T2^12 + 6*T1^7*T2^12 - 
      30*T1^8*T2^12 + 45*T1^9*T2^12 - 30*T1^10*T2^12 + 6*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 529] -> 
  {(1 - 10*T + 28*T^2 - 37*T^3 + 28*T^4 - 10*T^5 + T^6)/T^3, 
   (1 - 10*T1 + 28*T1^2 - 37*T1^3 + 28*T1^4 - 10*T1^5 + T1^6 - 10*T2 + 
     90*T1*T2 - 179*T1^2*T2 + 89*T1^3*T2 + 89*T1^4*T2 - 179*T1^5*T2 + 
     90*T1^6*T2 - 10*T1^7*T2 + 28*T2^2 - 179*T1*T2^2 - 155*T1^2*T2^2 + 
     1334*T1^3*T2^2 - 1907*T1^4*T2^2 + 1334*T1^5*T2^2 - 155*T1^6*T2^2 - 
     179*T1^7*T2^2 + 28*T1^8*T2^2 - 37*T2^3 + 89*T1*T2^3 + 1334*T1^2*T2^3 - 
     3280*T1^3*T2^3 + 1614*T1^4*T2^3 + 1614*T1^5*T2^3 - 3280*T1^6*T2^3 + 
     1334*T1^7*T2^3 + 89*T1^8*T2^3 - 37*T1^9*T2^3 + 28*T2^4 + 89*T1*T2^4 - 
     1907*T1^2*T2^4 + 1614*T1^3*T2^4 + 4698*T1^4*T2^4 - 7778*T1^5*T2^4 + 
     4698*T1^6*T2^4 + 1614*T1^7*T2^4 - 1907*T1^8*T2^4 + 89*T1^9*T2^4 + 
     28*T1^10*T2^4 - 10*T2^5 - 179*T1*T2^5 + 1334*T1^2*T2^5 + 
     1614*T1^3*T2^5 - 7778*T1^4*T2^5 + 4044*T1^5*T2^5 + 4044*T1^6*T2^5 - 
     7778*T1^7*T2^5 + 1614*T1^8*T2^5 + 1334*T1^9*T2^5 - 179*T1^10*T2^5 - 
     10*T1^11*T2^5 + T2^6 + 90*T1*T2^6 - 155*T1^2*T2^6 - 3280*T1^3*T2^6 + 
     4698*T1^4*T2^6 + 4044*T1^5*T2^6 - 8568*T1^6*T2^6 + 4044*T1^7*T2^6 + 
     4698*T1^8*T2^6 - 3280*T1^9*T2^6 - 155*T1^10*T2^6 + 90*T1^11*T2^6 + 
     T1^12*T2^6 - 10*T1*T2^7 - 179*T1^2*T2^7 + 1334*T1^3*T2^7 + 
     1614*T1^4*T2^7 - 7778*T1^5*T2^7 + 4044*T1^6*T2^7 + 4044*T1^7*T2^7 - 
     7778*T1^8*T2^7 + 1614*T1^9*T2^7 + 1334*T1^10*T2^7 - 179*T1^11*T2^7 - 
     10*T1^12*T2^7 + 28*T1^2*T2^8 + 89*T1^3*T2^8 - 1907*T1^4*T2^8 + 
     1614*T1^5*T2^8 + 4698*T1^6*T2^8 - 7778*T1^7*T2^8 + 4698*T1^8*T2^8 + 
     1614*T1^9*T2^8 - 1907*T1^10*T2^8 + 89*T1^11*T2^8 + 28*T1^12*T2^8 - 
     37*T1^3*T2^9 + 89*T1^4*T2^9 + 1334*T1^5*T2^9 - 3280*T1^6*T2^9 + 
     1614*T1^7*T2^9 + 1614*T1^8*T2^9 - 3280*T1^9*T2^9 + 1334*T1^10*T2^9 + 
     89*T1^11*T2^9 - 37*T1^12*T2^9 + 28*T1^4*T2^10 - 179*T1^5*T2^10 - 
     155*T1^6*T2^10 + 1334*T1^7*T2^10 - 1907*T1^8*T2^10 + 1334*T1^9*T2^10 - 
     155*T1^10*T2^10 - 179*T1^11*T2^10 + 28*T1^12*T2^10 - 10*T1^5*T2^11 + 
     90*T1^6*T2^11 - 179*T1^7*T2^11 + 89*T1^8*T2^11 + 89*T1^9*T2^11 - 
     179*T1^10*T2^11 + 90*T1^11*T2^11 - 10*T1^12*T2^11 + T1^6*T2^12 - 
     10*T1^7*T2^12 + 28*T1^8*T2^12 - 37*T1^9*T2^12 + 28*T1^10*T2^12 - 
     10*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 530] -> 
  {(2 - 10*T + 19*T^2 - 21*T^3 + 19*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (7 - 34*T1 + 62*T1^2 - 67*T1^3 + 62*T1^4 - 34*T1^5 + 7*T1^6 - 34*T2 + 
     132*T1*T2 - 139*T1^2*T2 + 27*T1^3*T2 + 27*T1^4*T2 - 139*T1^5*T2 + 
     132*T1^6*T2 - 34*T1^7*T2 + 62*T2^2 - 139*T1*T2^2 - 185*T1^2*T2^2 + 
     580*T1^3*T2^2 - 527*T1^4*T2^2 + 580*T1^5*T2^2 - 185*T1^6*T2^2 - 
     139*T1^7*T2^2 + 62*T1^8*T2^2 - 67*T2^3 + 27*T1*T2^3 + 580*T1^2*T2^3 - 
     722*T1^3*T2^3 + 68*T1^4*T2^3 + 68*T1^5*T2^3 - 722*T1^6*T2^3 + 
     580*T1^7*T2^3 + 27*T1^8*T2^3 - 67*T1^9*T2^3 + 62*T2^4 + 27*T1*T2^4 - 
     527*T1^2*T2^4 + 68*T1^3*T2^4 + 960*T1^4*T2^4 - 896*T1^5*T2^4 + 
     960*T1^6*T2^4 + 68*T1^7*T2^4 - 527*T1^8*T2^4 + 27*T1^9*T2^4 + 
     62*T1^10*T2^4 - 34*T2^5 - 139*T1*T2^5 + 580*T1^2*T2^5 + 68*T1^3*T2^5 - 
     896*T1^4*T2^5 + 300*T1^5*T2^5 + 300*T1^6*T2^5 - 896*T1^7*T2^5 + 
     68*T1^8*T2^5 + 580*T1^9*T2^5 - 139*T1^10*T2^5 - 34*T1^11*T2^5 + 7*T2^6 + 
     132*T1*T2^6 - 185*T1^2*T2^6 - 722*T1^3*T2^6 + 960*T1^4*T2^6 + 
     300*T1^5*T2^6 - 780*T1^6*T2^6 + 300*T1^7*T2^6 + 960*T1^8*T2^6 - 
     722*T1^9*T2^6 - 185*T1^10*T2^6 + 132*T1^11*T2^6 + 7*T1^12*T2^6 - 
     34*T1*T2^7 - 139*T1^2*T2^7 + 580*T1^3*T2^7 + 68*T1^4*T2^7 - 
     896*T1^5*T2^7 + 300*T1^6*T2^7 + 300*T1^7*T2^7 - 896*T1^8*T2^7 + 
     68*T1^9*T2^7 + 580*T1^10*T2^7 - 139*T1^11*T2^7 - 34*T1^12*T2^7 + 
     62*T1^2*T2^8 + 27*T1^3*T2^8 - 527*T1^4*T2^8 + 68*T1^5*T2^8 + 
     960*T1^6*T2^8 - 896*T1^7*T2^8 + 960*T1^8*T2^8 + 68*T1^9*T2^8 - 
     527*T1^10*T2^8 + 27*T1^11*T2^8 + 62*T1^12*T2^8 - 67*T1^3*T2^9 + 
     27*T1^4*T2^9 + 580*T1^5*T2^9 - 722*T1^6*T2^9 + 68*T1^7*T2^9 + 
     68*T1^8*T2^9 - 722*T1^9*T2^9 + 580*T1^10*T2^9 + 27*T1^11*T2^9 - 
     67*T1^12*T2^9 + 62*T1^4*T2^10 - 139*T1^5*T2^10 - 185*T1^6*T2^10 + 
     580*T1^7*T2^10 - 527*T1^8*T2^10 + 580*T1^9*T2^10 - 185*T1^10*T2^10 - 
     139*T1^11*T2^10 + 62*T1^12*T2^10 - 34*T1^5*T2^11 + 132*T1^6*T2^11 - 
     139*T1^7*T2^11 + 27*T1^8*T2^11 + 27*T1^9*T2^11 - 139*T1^10*T2^11 + 
     132*T1^11*T2^11 - 34*T1^12*T2^11 + 7*T1^6*T2^12 - 34*T1^7*T2^12 + 
     62*T1^8*T2^12 - 67*T1^9*T2^12 + 62*T1^10*T2^12 - 34*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   -((3 - 8*T1 + 9*T1^2 - 7*T1^3 + 9*T1^4 - 8*T1^5 + 3*T1^6 - 8*T2 + 
      12*T1*T2 + 3*T1^2*T2 - 9*T1^3*T2 - 9*T1^4*T2 + 3*T1^5*T2 + 12*T1^6*T2 - 
      8*T1^7*T2 + 9*T2^2 + 3*T1*T2^2 - 44*T1^2*T2^2 + 29*T1^3*T2^2 + 
      8*T1^4*T2^2 + 29*T1^5*T2^2 - 44*T1^6*T2^2 + 3*T1^7*T2^2 + 9*T1^8*T2^2 - 
      7*T2^3 - 9*T1*T2^3 + 29*T1^2*T2^3 + 54*T1^3*T2^3 - 55*T1^4*T2^3 - 
      55*T1^5*T2^3 + 54*T1^6*T2^3 + 29*T1^7*T2^3 - 9*T1^8*T2^3 - 
      7*T1^9*T2^3 + 9*T2^4 - 9*T1*T2^4 + 8*T1^2*T2^4 - 55*T1^3*T2^4 - 
      138*T1^4*T2^4 + 280*T1^5*T2^4 - 138*T1^6*T2^4 - 55*T1^7*T2^4 + 
      8*T1^8*T2^4 - 9*T1^9*T2^4 + 9*T1^10*T2^4 - 8*T2^5 + 3*T1*T2^5 + 
      29*T1^2*T2^5 - 55*T1^3*T2^5 + 280*T1^4*T2^5 - 162*T1^5*T2^5 - 
      162*T1^6*T2^5 + 280*T1^7*T2^5 - 55*T1^8*T2^5 + 29*T1^9*T2^5 + 
      3*T1^10*T2^5 - 8*T1^11*T2^5 + 3*T2^6 + 12*T1*T2^6 - 44*T1^2*T2^6 + 
      54*T1^3*T2^6 - 138*T1^4*T2^6 - 162*T1^5*T2^6 + 336*T1^6*T2^6 - 
      162*T1^7*T2^6 - 138*T1^8*T2^6 + 54*T1^9*T2^6 - 44*T1^10*T2^6 + 
      12*T1^11*T2^6 + 3*T1^12*T2^6 - 8*T1*T2^7 + 3*T1^2*T2^7 + 29*T1^3*T2^7 - 
      55*T1^4*T2^7 + 280*T1^5*T2^7 - 162*T1^6*T2^7 - 162*T1^7*T2^7 + 
      280*T1^8*T2^7 - 55*T1^9*T2^7 + 29*T1^10*T2^7 + 3*T1^11*T2^7 - 
      8*T1^12*T2^7 + 9*T1^2*T2^8 - 9*T1^3*T2^8 + 8*T1^4*T2^8 - 55*T1^5*T2^8 - 
      138*T1^6*T2^8 + 280*T1^7*T2^8 - 138*T1^8*T2^8 - 55*T1^9*T2^8 + 
      8*T1^10*T2^8 - 9*T1^11*T2^8 + 9*T1^12*T2^8 - 7*T1^3*T2^9 - 
      9*T1^4*T2^9 + 29*T1^5*T2^9 + 54*T1^6*T2^9 - 55*T1^7*T2^9 - 
      55*T1^8*T2^9 + 54*T1^9*T2^9 + 29*T1^10*T2^9 - 9*T1^11*T2^9 - 
      7*T1^12*T2^9 + 9*T1^4*T2^10 + 3*T1^5*T2^10 - 44*T1^6*T2^10 + 
      29*T1^7*T2^10 + 8*T1^8*T2^10 + 29*T1^9*T2^10 - 44*T1^10*T2^10 + 
      3*T1^11*T2^10 + 9*T1^12*T2^10 - 8*T1^5*T2^11 + 12*T1^6*T2^11 + 
      3*T1^7*T2^11 - 9*T1^8*T2^11 - 9*T1^9*T2^11 + 3*T1^10*T2^11 + 
      12*T1^11*T2^11 - 8*T1^12*T2^11 + 3*T1^6*T2^12 - 8*T1^7*T2^12 + 
      9*T1^8*T2^12 - 7*T1^9*T2^12 + 9*T1^10*T2^12 - 8*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 532] -> 
  {-((2 - 11*T + 29*T^2 - 41*T^3 + 29*T^4 - 11*T^5 + 2*T^6)/T^3), 
   (1 - 6*T1 + 16*T1^2 - 23*T1^3 + 16*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     30*T1*T2 - 61*T1^2*T2 + 43*T1^3*T2 + 43*T1^4*T2 - 61*T1^5*T2 + 
     30*T1^6*T2 - 6*T1^7*T2 + 16*T2^2 - 61*T1*T2^2 + 69*T1^2*T2^2 + 
     67*T1^3*T2^2 - 245*T1^4*T2^2 + 67*T1^5*T2^2 + 69*T1^6*T2^2 - 
     61*T1^7*T2^2 + 16*T1^8*T2^2 - 23*T2^3 + 43*T1*T2^3 + 67*T1^2*T2^3 - 
     298*T1^3*T2^3 + 314*T1^4*T2^3 + 314*T1^5*T2^3 - 298*T1^6*T2^3 + 
     67*T1^7*T2^3 + 43*T1^8*T2^3 - 23*T1^9*T2^3 + 16*T2^4 + 43*T1*T2^4 - 
     245*T1^2*T2^4 + 314*T1^3*T2^4 + 69*T1^4*T2^4 - 867*T1^5*T2^4 + 
     69*T1^6*T2^4 + 314*T1^7*T2^4 - 245*T1^8*T2^4 + 43*T1^9*T2^4 + 
     16*T1^10*T2^4 - 6*T2^5 - 61*T1*T2^5 + 67*T1^2*T2^5 + 314*T1^3*T2^5 - 
     867*T1^4*T2^5 + 944*T1^5*T2^5 + 944*T1^6*T2^5 - 867*T1^7*T2^5 + 
     314*T1^8*T2^5 + 67*T1^9*T2^5 - 61*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     30*T1*T2^6 + 69*T1^2*T2^6 - 298*T1^3*T2^6 + 69*T1^4*T2^6 + 
     944*T1^5*T2^6 - 2556*T1^6*T2^6 + 944*T1^7*T2^6 + 69*T1^8*T2^6 - 
     298*T1^9*T2^6 + 69*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
     61*T1^2*T2^7 + 67*T1^3*T2^7 + 314*T1^4*T2^7 - 867*T1^5*T2^7 + 
     944*T1^6*T2^7 + 944*T1^7*T2^7 - 867*T1^8*T2^7 + 314*T1^9*T2^7 + 
     67*T1^10*T2^7 - 61*T1^11*T2^7 - 6*T1^12*T2^7 + 16*T1^2*T2^8 + 
     43*T1^3*T2^8 - 245*T1^4*T2^8 + 314*T1^5*T2^8 + 69*T1^6*T2^8 - 
     867*T1^7*T2^8 + 69*T1^8*T2^8 + 314*T1^9*T2^8 - 245*T1^10*T2^8 + 
     43*T1^11*T2^8 + 16*T1^12*T2^8 - 23*T1^3*T2^9 + 43*T1^4*T2^9 + 
     67*T1^5*T2^9 - 298*T1^6*T2^9 + 314*T1^7*T2^9 + 314*T1^8*T2^9 - 
     298*T1^9*T2^9 + 67*T1^10*T2^9 + 43*T1^11*T2^9 - 23*T1^12*T2^9 + 
     16*T1^4*T2^10 - 61*T1^5*T2^10 + 69*T1^6*T2^10 + 67*T1^7*T2^10 - 
     245*T1^8*T2^10 + 67*T1^9*T2^10 + 69*T1^10*T2^10 - 61*T1^11*T2^10 + 
     16*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 61*T1^7*T2^11 + 
     43*T1^8*T2^11 + 43*T1^9*T2^11 - 61*T1^10*T2^11 + 30*T1^11*T2^11 - 
     6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 16*T1^8*T2^12 - 
     23*T1^9*T2^12 + 16*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 533] -> 
  {-(((1 - T + T^2)^2*(1 - 2*T + T^2 - 2*T^3 + T^4))/T^4), 
   -((1 - 4*T1 + 8*T1^2 - 12*T1^3 + 13*T1^4 - 12*T1^5 + 8*T1^6 - 4*T1^7 + 
      T1^8 - 4*T2 + 12*T1*T2 - 16*T1^2*T2 + 16*T1^3*T2 - 4*T1^4*T2 - 
      4*T1^5*T2 + 16*T1^6*T2 - 16*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 8*T2^2 - 
      16*T1*T2^2 + 10*T1^2*T2^2 - 6*T1^3*T2^2 - 20*T1^4*T2^2 + 14*T1^5*T2^2 - 
      20*T1^6*T2^2 - 6*T1^7*T2^2 + 10*T1^8*T2^2 - 16*T1^9*T2^2 + 
      8*T1^10*T2^2 - 12*T2^3 + 16*T1*T2^3 - 6*T1^2*T2^3 + 14*T1^3*T2^3 + 
      32*T1^4*T2^3 + 4*T1^5*T2^3 + 4*T1^6*T2^3 + 32*T1^7*T2^3 + 
      14*T1^8*T2^3 - 6*T1^9*T2^3 + 16*T1^10*T2^3 - 12*T1^11*T2^3 + 13*T2^4 - 
      4*T1*T2^4 - 20*T1^2*T2^4 + 32*T1^3*T2^4 - 125*T1^4*T2^4 + 
      42*T1^5*T2^4 - 61*T1^6*T2^4 + 42*T1^7*T2^4 - 125*T1^8*T2^4 + 
      32*T1^9*T2^4 - 20*T1^10*T2^4 - 4*T1^11*T2^4 + 13*T1^12*T2^4 - 12*T2^5 - 
      4*T1*T2^5 + 14*T1^2*T2^5 + 4*T1^3*T2^5 + 42*T1^4*T2^5 + 116*T1^5*T2^5 - 
      34*T1^6*T2^5 - 34*T1^7*T2^5 + 116*T1^8*T2^5 + 42*T1^9*T2^5 + 
      4*T1^10*T2^5 + 14*T1^11*T2^5 - 4*T1^12*T2^5 - 12*T1^13*T2^5 + 8*T2^6 + 
      16*T1*T2^6 - 20*T1^2*T2^6 + 4*T1^3*T2^6 - 61*T1^4*T2^6 - 34*T1^5*T2^6 - 
      176*T1^6*T2^6 + 264*T1^7*T2^6 - 176*T1^8*T2^6 - 34*T1^9*T2^6 - 
      61*T1^10*T2^6 + 4*T1^11*T2^6 - 20*T1^12*T2^6 + 16*T1^13*T2^6 + 
      8*T1^14*T2^6 - 4*T2^7 - 16*T1*T2^7 - 6*T1^2*T2^7 + 32*T1^3*T2^7 + 
      42*T1^4*T2^7 - 34*T1^5*T2^7 + 264*T1^6*T2^7 - 162*T1^7*T2^7 - 
      162*T1^8*T2^7 + 264*T1^9*T2^7 - 34*T1^10*T2^7 + 42*T1^11*T2^7 + 
      32*T1^12*T2^7 - 6*T1^13*T2^7 - 16*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 
      12*T1*T2^8 + 10*T1^2*T2^8 + 14*T1^3*T2^8 - 125*T1^4*T2^8 + 
      116*T1^5*T2^8 - 176*T1^6*T2^8 - 162*T1^7*T2^8 + 408*T1^8*T2^8 - 
      162*T1^9*T2^8 - 176*T1^10*T2^8 + 116*T1^11*T2^8 - 125*T1^12*T2^8 + 
      14*T1^13*T2^8 + 10*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 
      4*T1*T2^9 - 16*T1^2*T2^9 - 6*T1^3*T2^9 + 32*T1^4*T2^9 + 42*T1^5*T2^9 - 
      34*T1^6*T2^9 + 264*T1^7*T2^9 - 162*T1^8*T2^9 - 162*T1^9*T2^9 + 
      264*T1^10*T2^9 - 34*T1^11*T2^9 + 42*T1^12*T2^9 + 32*T1^13*T2^9 - 
      6*T1^14*T2^9 - 16*T1^15*T2^9 - 4*T1^16*T2^9 + 8*T1^2*T2^10 + 
      16*T1^3*T2^10 - 20*T1^4*T2^10 + 4*T1^5*T2^10 - 61*T1^6*T2^10 - 
      34*T1^7*T2^10 - 176*T1^8*T2^10 + 264*T1^9*T2^10 - 176*T1^10*T2^10 - 
      34*T1^11*T2^10 - 61*T1^12*T2^10 + 4*T1^13*T2^10 - 20*T1^14*T2^10 + 
      16*T1^15*T2^10 + 8*T1^16*T2^10 - 12*T1^3*T2^11 - 4*T1^4*T2^11 + 
      14*T1^5*T2^11 + 4*T1^6*T2^11 + 42*T1^7*T2^11 + 116*T1^8*T2^11 - 
      34*T1^9*T2^11 - 34*T1^10*T2^11 + 116*T1^11*T2^11 + 42*T1^12*T2^11 + 
      4*T1^13*T2^11 + 14*T1^14*T2^11 - 4*T1^15*T2^11 - 12*T1^16*T2^11 + 
      13*T1^4*T2^12 - 4*T1^5*T2^12 - 20*T1^6*T2^12 + 32*T1^7*T2^12 - 
      125*T1^8*T2^12 + 42*T1^9*T2^12 - 61*T1^10*T2^12 + 42*T1^11*T2^12 - 
      125*T1^12*T2^12 + 32*T1^13*T2^12 - 20*T1^14*T2^12 - 4*T1^15*T2^12 + 
      13*T1^16*T2^12 - 12*T1^5*T2^13 + 16*T1^6*T2^13 - 6*T1^7*T2^13 + 
      14*T1^8*T2^13 + 32*T1^9*T2^13 + 4*T1^10*T2^13 + 4*T1^11*T2^13 + 
      32*T1^12*T2^13 + 14*T1^13*T2^13 - 6*T1^14*T2^13 + 16*T1^15*T2^13 - 
      12*T1^16*T2^13 + 8*T1^6*T2^14 - 16*T1^7*T2^14 + 10*T1^8*T2^14 - 
      6*T1^9*T2^14 - 20*T1^10*T2^14 + 14*T1^11*T2^14 - 20*T1^12*T2^14 - 
      6*T1^13*T2^14 + 10*T1^14*T2^14 - 16*T1^15*T2^14 + 8*T1^16*T2^14 - 
      4*T1^7*T2^15 + 12*T1^8*T2^15 - 16*T1^9*T2^15 + 16*T1^10*T2^15 - 
      4*T1^11*T2^15 - 4*T1^12*T2^15 + 16*T1^13*T2^15 - 16*T1^14*T2^15 + 
      12*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 
      8*T1^10*T2^16 - 12*T1^11*T2^16 + 13*T1^12*T2^16 - 12*T1^13*T2^16 + 
      8*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 534] -> 
  {-((2 - 11*T + 25*T^2 - 33*T^3 + 25*T^4 - 11*T^5 + 2*T^6)/T^3), 
   (1 - 6*T1 + 14*T1^2 - 19*T1^3 + 14*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     30*T1*T2 - 48*T1^2*T2 + 30*T1^3*T2 + 30*T1^4*T2 - 48*T1^5*T2 + 
     30*T1^6*T2 - 6*T1^7*T2 + 14*T2^2 - 48*T1*T2^2 - 5*T1^2*T2^2 + 
     149*T1^3*T2^2 - 283*T1^4*T2^2 + 149*T1^5*T2^2 - 5*T1^6*T2^2 - 
     48*T1^7*T2^2 + 14*T1^8*T2^2 - 19*T2^3 + 30*T1*T2^3 + 149*T1^2*T2^3 - 
     312*T1^3*T2^3 + 251*T1^4*T2^3 + 251*T1^5*T2^3 - 312*T1^6*T2^3 + 
     149*T1^7*T2^3 + 30*T1^8*T2^3 - 19*T1^9*T2^3 + 14*T2^4 + 30*T1*T2^4 - 
     283*T1^2*T2^4 + 251*T1^3*T2^4 + 71*T1^4*T2^4 - 591*T1^5*T2^4 + 
     71*T1^6*T2^4 + 251*T1^7*T2^4 - 283*T1^8*T2^4 + 30*T1^9*T2^4 + 
     14*T1^10*T2^4 - 6*T2^5 - 48*T1*T2^5 + 149*T1^2*T2^5 + 251*T1^3*T2^5 - 
     591*T1^4*T2^5 + 576*T1^5*T2^5 + 576*T1^6*T2^5 - 591*T1^7*T2^5 + 
     251*T1^8*T2^5 + 149*T1^9*T2^5 - 48*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     30*T1*T2^6 - 5*T1^2*T2^6 - 312*T1^3*T2^6 + 71*T1^4*T2^6 + 
     576*T1^5*T2^6 - 1488*T1^6*T2^6 + 576*T1^7*T2^6 + 71*T1^8*T2^6 - 
     312*T1^9*T2^6 - 5*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
     48*T1^2*T2^7 + 149*T1^3*T2^7 + 251*T1^4*T2^7 - 591*T1^5*T2^7 + 
     576*T1^6*T2^7 + 576*T1^7*T2^7 - 591*T1^8*T2^7 + 251*T1^9*T2^7 + 
     149*T1^10*T2^7 - 48*T1^11*T2^7 - 6*T1^12*T2^7 + 14*T1^2*T2^8 + 
     30*T1^3*T2^8 - 283*T1^4*T2^8 + 251*T1^5*T2^8 + 71*T1^6*T2^8 - 
     591*T1^7*T2^8 + 71*T1^8*T2^8 + 251*T1^9*T2^8 - 283*T1^10*T2^8 + 
     30*T1^11*T2^8 + 14*T1^12*T2^8 - 19*T1^3*T2^9 + 30*T1^4*T2^9 + 
     149*T1^5*T2^9 - 312*T1^6*T2^9 + 251*T1^7*T2^9 + 251*T1^8*T2^9 - 
     312*T1^9*T2^9 + 149*T1^10*T2^9 + 30*T1^11*T2^9 - 19*T1^12*T2^9 + 
     14*T1^4*T2^10 - 48*T1^5*T2^10 - 5*T1^6*T2^10 + 149*T1^7*T2^10 - 
     283*T1^8*T2^10 + 149*T1^9*T2^10 - 5*T1^10*T2^10 - 48*T1^11*T2^10 + 
     14*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 48*T1^7*T2^11 + 
     30*T1^8*T2^11 + 30*T1^9*T2^11 - 48*T1^10*T2^11 + 30*T1^11*T2^11 - 
     6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 14*T1^8*T2^12 - 
     19*T1^9*T2^12 + 14*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 535] -> 
  {-((1 - 7*T + 11*T^2 - 7*T^3 + T^4)/T^2), 
   (1 - 5*T1 + 9*T1^2 - 5*T1^3 + T1^4 - 5*T2 + 22*T1*T2 - 18*T1^2*T2 - 
     18*T1^3*T2 + 22*T1^4*T2 - 5*T1^5*T2 + 9*T2^2 - 18*T1*T2^2 - 
     49*T1^2*T2^2 + 109*T1^3*T2^2 - 49*T1^4*T2^2 - 18*T1^5*T2^2 + 
     9*T1^6*T2^2 - 5*T2^3 - 18*T1*T2^3 + 109*T1^2*T2^3 - 76*T1^3*T2^3 - 
     76*T1^4*T2^3 + 109*T1^5*T2^3 - 18*T1^6*T2^3 - 5*T1^7*T2^3 + T2^4 + 
     22*T1*T2^4 - 49*T1^2*T2^4 - 76*T1^3*T2^4 + 180*T1^4*T2^4 - 
     76*T1^5*T2^4 - 49*T1^6*T2^4 + 22*T1^7*T2^4 + T1^8*T2^4 - 5*T1*T2^5 - 
     18*T1^2*T2^5 + 109*T1^3*T2^5 - 76*T1^4*T2^5 - 76*T1^5*T2^5 + 
     109*T1^6*T2^5 - 18*T1^7*T2^5 - 5*T1^8*T2^5 + 9*T1^2*T2^6 - 
     18*T1^3*T2^6 - 49*T1^4*T2^6 + 109*T1^5*T2^6 - 49*T1^6*T2^6 - 
     18*T1^7*T2^6 + 9*T1^8*T2^6 - 5*T1^3*T2^7 + 22*T1^4*T2^7 - 18*T1^5*T2^7 - 
     18*T1^6*T2^7 + 22*T1^7*T2^7 - 5*T1^8*T2^7 + T1^4*T2^8 - 5*T1^5*T2^8 + 
     9*T1^6*T2^8 - 5*T1^7*T2^8 + T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 536] -> 
  {-(((-1 + 3*T - 4*T^2 + T^3)*(-1 + 4*T - 3*T^2 + T^3))/T^3), 
   (T1 - 2*T1^2 - 2*T1^3 + T1^4 + T2 - 8*T1*T2 + 9*T1^2*T2 + 20*T1^3*T2 + 
     9*T1^4*T2 - 8*T1^5*T2 + T1^6*T2 - 2*T2^2 + 9*T1*T2^2 + 12*T1^2*T2^2 - 
     78*T1^3*T2^2 - 78*T1^4*T2^2 + 12*T1^5*T2^2 + 9*T1^6*T2^2 - 2*T1^7*T2^2 - 
     2*T2^3 + 20*T1*T2^3 - 78*T1^2*T2^3 + 113*T1^3*T2^3 + 221*T1^4*T2^3 + 
     113*T1^5*T2^3 - 78*T1^6*T2^3 + 20*T1^7*T2^3 - 2*T1^8*T2^3 + T2^4 + 
     9*T1*T2^4 - 78*T1^2*T2^4 + 221*T1^3*T2^4 - 444*T1^4*T2^4 - 
     444*T1^5*T2^4 + 221*T1^6*T2^4 - 78*T1^7*T2^4 + 9*T1^8*T2^4 + T1^9*T2^4 - 
     8*T1*T2^5 + 12*T1^2*T2^5 + 113*T1^3*T2^5 - 444*T1^4*T2^5 + 
     1356*T1^5*T2^5 - 444*T1^6*T2^5 + 113*T1^7*T2^5 + 12*T1^8*T2^5 - 
     8*T1^9*T2^5 + T1*T2^6 + 9*T1^2*T2^6 - 78*T1^3*T2^6 + 221*T1^4*T2^6 - 
     444*T1^5*T2^6 - 444*T1^6*T2^6 + 221*T1^7*T2^6 - 78*T1^8*T2^6 + 
     9*T1^9*T2^6 + T1^10*T2^6 - 2*T1^2*T2^7 + 20*T1^3*T2^7 - 78*T1^4*T2^7 + 
     113*T1^5*T2^7 + 221*T1^6*T2^7 + 113*T1^7*T2^7 - 78*T1^8*T2^7 + 
     20*T1^9*T2^7 - 2*T1^10*T2^7 - 2*T1^3*T2^8 + 9*T1^4*T2^8 + 12*T1^5*T2^8 - 
     78*T1^6*T2^8 - 78*T1^7*T2^8 + 12*T1^8*T2^8 + 9*T1^9*T2^8 - 
     2*T1^10*T2^8 + T1^4*T2^9 - 8*T1^5*T2^9 + 9*T1^6*T2^9 + 20*T1^7*T2^9 + 
     9*T1^8*T2^9 - 8*T1^9*T2^9 + T1^10*T2^9 + T1^6*T2^10 - 2*T1^7*T2^10 - 
     2*T1^8*T2^10 + T1^9*T2^10)/(T1^5*T2^5)}, 
 Knot[12, NonAlternating, 537] -> 
  {((1 - 3*T + T^2)*(2 - 6*T + 7*T^2 - 6*T^3 + 2*T^4))/T^3, 
   (7 - 41*T1 + 90*T1^2 - 109*T1^3 + 90*T1^4 - 41*T1^5 + 7*T1^6 - 41*T2 + 
     200*T1*T2 - 291*T1^2*T2 + 115*T1^3*T2 + 115*T1^4*T2 - 291*T1^5*T2 + 
     200*T1^6*T2 - 41*T1^7*T2 + 90*T2^2 - 291*T1*T2^2 - 122*T1^2*T2^2 + 
     1095*T1^3*T2^2 - 1388*T1^4*T2^2 + 1095*T1^5*T2^2 - 122*T1^6*T2^2 - 
     291*T1^7*T2^2 + 90*T1^8*T2^2 - 109*T2^3 + 115*T1*T2^3 + 1095*T1^2*T2^3 - 
     2088*T1^3*T2^3 + 791*T1^4*T2^3 + 791*T1^5*T2^3 - 2088*T1^6*T2^3 + 
     1095*T1^7*T2^3 + 115*T1^8*T2^3 - 109*T1^9*T2^3 + 90*T2^4 + 115*T1*T2^4 - 
     1388*T1^2*T2^4 + 791*T1^3*T2^4 + 2458*T1^4*T2^4 - 3508*T1^5*T2^4 + 
     2458*T1^6*T2^4 + 791*T1^7*T2^4 - 1388*T1^8*T2^4 + 115*T1^9*T2^4 + 
     90*T1^10*T2^4 - 41*T2^5 - 291*T1*T2^5 + 1095*T1^2*T2^5 + 791*T1^3*T2^5 - 
     3508*T1^4*T2^5 + 1592*T1^5*T2^5 + 1592*T1^6*T2^5 - 3508*T1^7*T2^5 + 
     791*T1^8*T2^5 + 1095*T1^9*T2^5 - 291*T1^10*T2^5 - 41*T1^11*T2^5 + 
     7*T2^6 + 200*T1*T2^6 - 122*T1^2*T2^6 - 2088*T1^3*T2^6 + 2458*T1^4*T2^6 + 
     1592*T1^5*T2^6 - 3360*T1^6*T2^6 + 1592*T1^7*T2^6 + 2458*T1^8*T2^6 - 
     2088*T1^9*T2^6 - 122*T1^10*T2^6 + 200*T1^11*T2^6 + 7*T1^12*T2^6 - 
     41*T1*T2^7 - 291*T1^2*T2^7 + 1095*T1^3*T2^7 + 791*T1^4*T2^7 - 
     3508*T1^5*T2^7 + 1592*T1^6*T2^7 + 1592*T1^7*T2^7 - 3508*T1^8*T2^7 + 
     791*T1^9*T2^7 + 1095*T1^10*T2^7 - 291*T1^11*T2^7 - 41*T1^12*T2^7 + 
     90*T1^2*T2^8 + 115*T1^3*T2^8 - 1388*T1^4*T2^8 + 791*T1^5*T2^8 + 
     2458*T1^6*T2^8 - 3508*T1^7*T2^8 + 2458*T1^8*T2^8 + 791*T1^9*T2^8 - 
     1388*T1^10*T2^8 + 115*T1^11*T2^8 + 90*T1^12*T2^8 - 109*T1^3*T2^9 + 
     115*T1^4*T2^9 + 1095*T1^5*T2^9 - 2088*T1^6*T2^9 + 791*T1^7*T2^9 + 
     791*T1^8*T2^9 - 2088*T1^9*T2^9 + 1095*T1^10*T2^9 + 115*T1^11*T2^9 - 
     109*T1^12*T2^9 + 90*T1^4*T2^10 - 291*T1^5*T2^10 - 122*T1^6*T2^10 + 
     1095*T1^7*T2^10 - 1388*T1^8*T2^10 + 1095*T1^9*T2^10 - 122*T1^10*T2^10 - 
     291*T1^11*T2^10 + 90*T1^12*T2^10 - 41*T1^5*T2^11 + 200*T1^6*T2^11 - 
     291*T1^7*T2^11 + 115*T1^8*T2^11 + 115*T1^9*T2^11 - 291*T1^10*T2^11 + 
     200*T1^11*T2^11 - 41*T1^12*T2^11 + 7*T1^6*T2^12 - 41*T1^7*T2^12 + 
     90*T1^8*T2^12 - 109*T1^9*T2^12 + 90*T1^10*T2^12 - 41*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   (2 - 10*T1 + 20*T1^2 - 22*T1^3 + 22*T1^4 - 22*T1^5 + 20*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 50*T1^2*T2 + 10*T1^3*T2 + 10*T1^6*T2 - 
     50*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 20*T2^2 - 50*T1*T2^2 - 
     30*T1^2*T2^2 + 180*T1^3*T2^2 - 130*T1^4*T2^2 + 110*T1^5*T2^2 - 
     130*T1^6*T2^2 + 180*T1^7*T2^2 - 30*T1^8*T2^2 - 50*T1^9*T2^2 + 
     20*T1^10*T2^2 - 22*T2^3 + 10*T1*T2^3 + 180*T1^2*T2^3 - 280*T1^3*T2^3 - 
     29*T1^4*T2^3 + 23*T1^5*T2^3 + 23*T1^6*T2^3 - 29*T1^7*T2^3 - 
     280*T1^8*T2^3 + 180*T1^9*T2^3 + 10*T1^10*T2^3 - 22*T1^11*T2^3 + 
     22*T2^4 - 130*T1^2*T2^4 - 29*T1^3*T2^4 + 499*T1^4*T2^4 - 272*T1^5*T2^4 + 
     229*T1^6*T2^4 - 272*T1^7*T2^4 + 499*T1^8*T2^4 - 29*T1^9*T2^4 - 
     130*T1^10*T2^4 + 22*T1^12*T2^4 - 22*T2^5 + 110*T1^2*T2^5 + 
     23*T1^3*T2^5 - 272*T1^4*T2^5 - 124*T1^5*T2^5 + 24*T1^6*T2^5 + 
     24*T1^7*T2^5 - 124*T1^8*T2^5 - 272*T1^9*T2^5 + 23*T1^10*T2^5 + 
     110*T1^11*T2^5 - 22*T1^13*T2^5 + 20*T2^6 + 10*T1*T2^6 - 130*T1^2*T2^6 + 
     23*T1^3*T2^6 + 229*T1^4*T2^6 + 24*T1^5*T2^6 + 134*T1^6*T2^6 - 
     74*T1^7*T2^6 + 134*T1^8*T2^6 + 24*T1^9*T2^6 + 229*T1^10*T2^6 + 
     23*T1^11*T2^6 - 130*T1^12*T2^6 + 10*T1^13*T2^6 + 20*T1^14*T2^6 - 
     10*T2^7 - 50*T1*T2^7 + 180*T1^2*T2^7 - 29*T1^3*T2^7 - 272*T1^4*T2^7 + 
     24*T1^5*T2^7 - 74*T1^6*T2^7 - 30*T1^7*T2^7 - 30*T1^8*T2^7 - 
     74*T1^9*T2^7 + 24*T1^10*T2^7 - 272*T1^11*T2^7 - 29*T1^12*T2^7 + 
     180*T1^13*T2^7 - 50*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 - 
     30*T1^2*T2^8 - 280*T1^3*T2^8 + 499*T1^4*T2^8 - 124*T1^5*T2^8 + 
     134*T1^6*T2^8 - 30*T1^7*T2^8 + 84*T1^8*T2^8 - 30*T1^9*T2^8 + 
     134*T1^10*T2^8 - 124*T1^11*T2^8 + 499*T1^12*T2^8 - 280*T1^13*T2^8 - 
     30*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     50*T1^2*T2^9 + 180*T1^3*T2^9 - 29*T1^4*T2^9 - 272*T1^5*T2^9 + 
     24*T1^6*T2^9 - 74*T1^7*T2^9 - 30*T1^8*T2^9 - 30*T1^9*T2^9 - 
     74*T1^10*T2^9 + 24*T1^11*T2^9 - 272*T1^12*T2^9 - 29*T1^13*T2^9 + 
     180*T1^14*T2^9 - 50*T1^15*T2^9 - 10*T1^16*T2^9 + 20*T1^2*T2^10 + 
     10*T1^3*T2^10 - 130*T1^4*T2^10 + 23*T1^5*T2^10 + 229*T1^6*T2^10 + 
     24*T1^7*T2^10 + 134*T1^8*T2^10 - 74*T1^9*T2^10 + 134*T1^10*T2^10 + 
     24*T1^11*T2^10 + 229*T1^12*T2^10 + 23*T1^13*T2^10 - 130*T1^14*T2^10 + 
     10*T1^15*T2^10 + 20*T1^16*T2^10 - 22*T1^3*T2^11 + 110*T1^5*T2^11 + 
     23*T1^6*T2^11 - 272*T1^7*T2^11 - 124*T1^8*T2^11 + 24*T1^9*T2^11 + 
     24*T1^10*T2^11 - 124*T1^11*T2^11 - 272*T1^12*T2^11 + 23*T1^13*T2^11 + 
     110*T1^14*T2^11 - 22*T1^16*T2^11 + 22*T1^4*T2^12 - 130*T1^6*T2^12 - 
     29*T1^7*T2^12 + 499*T1^8*T2^12 - 272*T1^9*T2^12 + 229*T1^10*T2^12 - 
     272*T1^11*T2^12 + 499*T1^12*T2^12 - 29*T1^13*T2^12 - 130*T1^14*T2^12 + 
     22*T1^16*T2^12 - 22*T1^5*T2^13 + 10*T1^6*T2^13 + 180*T1^7*T2^13 - 
     280*T1^8*T2^13 - 29*T1^9*T2^13 + 23*T1^10*T2^13 + 23*T1^11*T2^13 - 
     29*T1^12*T2^13 - 280*T1^13*T2^13 + 180*T1^14*T2^13 + 10*T1^15*T2^13 - 
     22*T1^16*T2^13 + 20*T1^6*T2^14 - 50*T1^7*T2^14 - 30*T1^8*T2^14 + 
     180*T1^9*T2^14 - 130*T1^10*T2^14 + 110*T1^11*T2^14 - 130*T1^12*T2^14 + 
     180*T1^13*T2^14 - 30*T1^14*T2^14 - 50*T1^15*T2^14 + 20*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 50*T1^9*T2^15 + 10*T1^10*T2^15 + 
     10*T1^13*T2^15 - 50*T1^14*T2^15 + 40*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)/(T1^8*T2^8)}, 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), -((1 - 5*T1 + 14*T1^2 - 27*T1^3 + 33*T1^4 - 27*T1^5 + 14*T1^6 - 
      5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 45*T1^2*T2 + 65*T1^3*T2 - 
      30*T1^4*T2 - 30*T1^5*T2 + 65*T1^6*T2 - 45*T1^7*T2 + 20*T1^8*T2 - 
      5*T1^9*T2 + 14*T2^2 - 45*T1*T2^2 + 81*T1^2*T2^2 - 81*T1^3*T2^2 - 
      52*T1^4*T2^2 + 115*T1^5*T2^2 - 52*T1^6*T2^2 - 81*T1^7*T2^2 + 
      81*T1^8*T2^2 - 45*T1^9*T2^2 + 14*T1^10*T2^2 - 27*T2^3 + 65*T1*T2^3 - 
      81*T1^2*T2^3 + 18*T1^3*T2^3 + 228*T1^4*T2^3 - 115*T1^5*T2^3 - 
      115*T1^6*T2^3 + 228*T1^7*T2^3 + 18*T1^8*T2^3 - 81*T1^9*T2^3 + 
      65*T1^10*T2^3 - 27*T1^11*T2^3 + 33*T2^4 - 30*T1*T2^4 - 52*T1^2*T2^4 + 
      228*T1^3*T2^4 - 489*T1^4*T2^4 - 58*T1^5*T2^4 + 285*T1^6*T2^4 - 
      58*T1^7*T2^4 - 489*T1^8*T2^4 + 228*T1^9*T2^4 - 52*T1^10*T2^4 - 
      30*T1^11*T2^4 + 33*T1^12*T2^4 - 27*T2^5 - 30*T1*T2^5 + 115*T1^2*T2^5 - 
      115*T1^3*T2^5 - 58*T1^4*T2^5 + 1084*T1^5*T2^5 - 516*T1^6*T2^5 - 
      516*T1^7*T2^5 + 1084*T1^8*T2^5 - 58*T1^9*T2^5 - 115*T1^10*T2^5 + 
      115*T1^11*T2^5 - 30*T1^12*T2^5 - 27*T1^13*T2^5 + 14*T2^6 + 65*T1*T2^6 - 
      52*T1^2*T2^6 - 115*T1^3*T2^6 + 285*T1^4*T2^6 - 516*T1^5*T2^6 - 
      1791*T1^6*T2^6 + 2749*T1^7*T2^6 - 1791*T1^8*T2^6 - 516*T1^9*T2^6 + 
      285*T1^10*T2^6 - 115*T1^11*T2^6 - 52*T1^12*T2^6 + 65*T1^13*T2^6 + 
      14*T1^14*T2^6 - 5*T2^7 - 45*T1*T2^7 - 81*T1^2*T2^7 + 228*T1^3*T2^7 - 
      58*T1^4*T2^7 - 516*T1^5*T2^7 + 2749*T1^6*T2^7 - 1294*T1^7*T2^7 - 
      1294*T1^8*T2^7 + 2749*T1^9*T2^7 - 516*T1^10*T2^7 - 58*T1^11*T2^7 + 
      228*T1^12*T2^7 - 81*T1^13*T2^7 - 45*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 
      20*T1*T2^8 + 81*T1^2*T2^8 + 18*T1^3*T2^8 - 489*T1^4*T2^8 + 
      1084*T1^5*T2^8 - 1791*T1^6*T2^8 - 1294*T1^7*T2^8 + 2592*T1^8*T2^8 - 
      1294*T1^9*T2^8 - 1791*T1^10*T2^8 + 1084*T1^11*T2^8 - 489*T1^12*T2^8 + 
      18*T1^13*T2^8 + 81*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 
      5*T1*T2^9 - 45*T1^2*T2^9 - 81*T1^3*T2^9 + 228*T1^4*T2^9 - 
      58*T1^5*T2^9 - 516*T1^6*T2^9 + 2749*T1^7*T2^9 - 1294*T1^8*T2^9 - 
      1294*T1^9*T2^9 + 2749*T1^10*T2^9 - 516*T1^11*T2^9 - 58*T1^12*T2^9 + 
      228*T1^13*T2^9 - 81*T1^14*T2^9 - 45*T1^15*T2^9 - 5*T1^16*T2^9 + 
      14*T1^2*T2^10 + 65*T1^3*T2^10 - 52*T1^4*T2^10 - 115*T1^5*T2^10 + 
      285*T1^6*T2^10 - 516*T1^7*T2^10 - 1791*T1^8*T2^10 + 2749*T1^9*T2^10 - 
      1791*T1^10*T2^10 - 516*T1^11*T2^10 + 285*T1^12*T2^10 - 
      115*T1^13*T2^10 - 52*T1^14*T2^10 + 65*T1^15*T2^10 + 14*T1^16*T2^10 - 
      27*T1^3*T2^11 - 30*T1^4*T2^11 + 115*T1^5*T2^11 - 115*T1^6*T2^11 - 
      58*T1^7*T2^11 + 1084*T1^8*T2^11 - 516*T1^9*T2^11 - 516*T1^10*T2^11 + 
      1084*T1^11*T2^11 - 58*T1^12*T2^11 - 115*T1^13*T2^11 + 115*T1^14*T2^11 - 
      30*T1^15*T2^11 - 27*T1^16*T2^11 + 33*T1^4*T2^12 - 30*T1^5*T2^12 - 
      52*T1^6*T2^12 + 228*T1^7*T2^12 - 489*T1^8*T2^12 - 58*T1^9*T2^12 + 
      285*T1^10*T2^12 - 58*T1^11*T2^12 - 489*T1^12*T2^12 + 228*T1^13*T2^12 - 
      52*T1^14*T2^12 - 30*T1^15*T2^12 + 33*T1^16*T2^12 - 27*T1^5*T2^13 + 
      65*T1^6*T2^13 - 81*T1^7*T2^13 + 18*T1^8*T2^13 + 228*T1^9*T2^13 - 
      115*T1^10*T2^13 - 115*T1^11*T2^13 + 228*T1^12*T2^13 + 18*T1^13*T2^13 - 
      81*T1^14*T2^13 + 65*T1^15*T2^13 - 27*T1^16*T2^13 + 14*T1^6*T2^14 - 
      45*T1^7*T2^14 + 81*T1^8*T2^14 - 81*T1^9*T2^14 - 52*T1^10*T2^14 + 
      115*T1^11*T2^14 - 52*T1^12*T2^14 - 81*T1^13*T2^14 + 81*T1^14*T2^14 - 
      45*T1^15*T2^14 + 14*T1^16*T2^14 - 5*T1^7*T2^15 + 20*T1^8*T2^15 - 
      45*T1^9*T2^15 + 65*T1^10*T2^15 - 30*T1^11*T2^15 - 30*T1^12*T2^15 + 
      65*T1^13*T2^15 - 45*T1^14*T2^15 + 20*T1^15*T2^15 - 5*T1^16*T2^15 + 
      T1^8*T2^16 - 5*T1^9*T2^16 + 14*T1^10*T2^16 - 27*T1^11*T2^16 + 
      33*T1^12*T2^16 - 27*T1^13*T2^16 + 14*T1^14*T2^16 - 5*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, NonAlternating, 540] -> 
  {(2 - 10*T + 21*T^2 - 25*T^3 + 21*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (7 - 34*T1 + 70*T1^2 - 83*T1^3 + 70*T1^4 - 34*T1^5 + 7*T1^6 - 34*T2 + 
     132*T1*T2 - 177*T1^2*T2 + 65*T1^3*T2 + 65*T1^4*T2 - 177*T1^5*T2 + 
     132*T1^6*T2 - 34*T1^7*T2 + 70*T2^2 - 177*T1*T2^2 - 37*T1^2*T2^2 + 
     512*T1^3*T2^2 - 623*T1^4*T2^2 + 512*T1^5*T2^2 - 37*T1^6*T2^2 - 
     177*T1^7*T2^2 + 70*T1^8*T2^2 - 83*T2^3 + 65*T1*T2^3 + 512*T1^2*T2^3 - 
     940*T1^3*T2^3 + 316*T1^4*T2^3 + 316*T1^5*T2^3 - 940*T1^6*T2^3 + 
     512*T1^7*T2^3 + 65*T1^8*T2^3 - 83*T1^9*T2^3 + 70*T2^4 + 65*T1*T2^4 - 
     623*T1^2*T2^4 + 316*T1^3*T2^4 + 1089*T1^4*T2^4 - 1443*T1^5*T2^4 + 
     1089*T1^6*T2^4 + 316*T1^7*T2^4 - 623*T1^8*T2^4 + 65*T1^9*T2^4 + 
     70*T1^10*T2^4 - 34*T2^5 - 177*T1*T2^5 + 512*T1^2*T2^5 + 316*T1^3*T2^5 - 
     1443*T1^4*T2^5 + 606*T1^5*T2^5 + 606*T1^6*T2^5 - 1443*T1^7*T2^5 + 
     316*T1^8*T2^5 + 512*T1^9*T2^5 - 177*T1^10*T2^5 - 34*T1^11*T2^5 + 
     7*T2^6 + 132*T1*T2^6 - 37*T1^2*T2^6 - 940*T1^3*T2^6 + 1089*T1^4*T2^6 + 
     606*T1^5*T2^6 - 1272*T1^6*T2^6 + 606*T1^7*T2^6 + 1089*T1^8*T2^6 - 
     940*T1^9*T2^6 - 37*T1^10*T2^6 + 132*T1^11*T2^6 + 7*T1^12*T2^6 - 
     34*T1*T2^7 - 177*T1^2*T2^7 + 512*T1^3*T2^7 + 316*T1^4*T2^7 - 
     1443*T1^5*T2^7 + 606*T1^6*T2^7 + 606*T1^7*T2^7 - 1443*T1^8*T2^7 + 
     316*T1^9*T2^7 + 512*T1^10*T2^7 - 177*T1^11*T2^7 - 34*T1^12*T2^7 + 
     70*T1^2*T2^8 + 65*T1^3*T2^8 - 623*T1^4*T2^8 + 316*T1^5*T2^8 + 
     1089*T1^6*T2^8 - 1443*T1^7*T2^8 + 1089*T1^8*T2^8 + 316*T1^9*T2^8 - 
     623*T1^10*T2^8 + 65*T1^11*T2^8 + 70*T1^12*T2^8 - 83*T1^3*T2^9 + 
     65*T1^4*T2^9 + 512*T1^5*T2^9 - 940*T1^6*T2^9 + 316*T1^7*T2^9 + 
     316*T1^8*T2^9 - 940*T1^9*T2^9 + 512*T1^10*T2^9 + 65*T1^11*T2^9 - 
     83*T1^12*T2^9 + 70*T1^4*T2^10 - 177*T1^5*T2^10 - 37*T1^6*T2^10 + 
     512*T1^7*T2^10 - 623*T1^8*T2^10 + 512*T1^9*T2^10 - 37*T1^10*T2^10 - 
     177*T1^11*T2^10 + 70*T1^12*T2^10 - 34*T1^5*T2^11 + 132*T1^6*T2^11 - 
     177*T1^7*T2^11 + 65*T1^8*T2^11 + 65*T1^9*T2^11 - 177*T1^10*T2^11 + 
     132*T1^11*T2^11 - 34*T1^12*T2^11 + 7*T1^6*T2^12 - 34*T1^7*T2^12 + 
     70*T1^8*T2^12 - 83*T1^9*T2^12 + 70*T1^10*T2^12 - 34*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 541] -> 
  {(2 - 9*T + 19*T^2 - 23*T^3 + 19*T^4 - 9*T^5 + 2*T^6)/T^3, 
   -((9 - 41*T1 + 86*T1^2 - 103*T1^3 + 86*T1^4 - 41*T1^5 + 9*T1^6 - 41*T2 + 
      146*T1*T2 - 207*T1^2*T2 + 79*T1^3*T2 + 79*T1^4*T2 - 207*T1^5*T2 + 
      146*T1^6*T2 - 41*T1^7*T2 + 86*T2^2 - 207*T1*T2^2 + 55*T1^2*T2^2 + 
      442*T1^3*T2^2 - 561*T1^4*T2^2 + 442*T1^5*T2^2 + 55*T1^6*T2^2 - 
      207*T1^7*T2^2 + 86*T1^8*T2^2 - 103*T2^3 + 79*T1*T2^3 + 442*T1^2*T2^3 - 
      984*T1^3*T2^3 + 326*T1^4*T2^3 + 326*T1^5*T2^3 - 984*T1^6*T2^3 + 
      442*T1^7*T2^3 + 79*T1^8*T2^3 - 103*T1^9*T2^3 + 86*T2^4 + 79*T1*T2^4 - 
      561*T1^2*T2^4 + 326*T1^3*T2^4 + 1285*T1^4*T2^4 - 1587*T1^5*T2^4 + 
      1285*T1^6*T2^4 + 326*T1^7*T2^4 - 561*T1^8*T2^4 + 79*T1^9*T2^4 + 
      86*T1^10*T2^4 - 41*T2^5 - 207*T1*T2^5 + 442*T1^2*T2^5 + 326*T1^3*T2^5 - 
      1587*T1^4*T2^5 + 500*T1^5*T2^5 + 500*T1^6*T2^5 - 1587*T1^7*T2^5 + 
      326*T1^8*T2^5 + 442*T1^9*T2^5 - 207*T1^10*T2^5 - 41*T1^11*T2^5 + 
      9*T2^6 + 146*T1*T2^6 + 55*T1^2*T2^6 - 984*T1^3*T2^6 + 1285*T1^4*T2^6 + 
      500*T1^5*T2^6 - 780*T1^6*T2^6 + 500*T1^7*T2^6 + 1285*T1^8*T2^6 - 
      984*T1^9*T2^6 + 55*T1^10*T2^6 + 146*T1^11*T2^6 + 9*T1^12*T2^6 - 
      41*T1*T2^7 - 207*T1^2*T2^7 + 442*T1^3*T2^7 + 326*T1^4*T2^7 - 
      1587*T1^5*T2^7 + 500*T1^6*T2^7 + 500*T1^7*T2^7 - 1587*T1^8*T2^7 + 
      326*T1^9*T2^7 + 442*T1^10*T2^7 - 207*T1^11*T2^7 - 41*T1^12*T2^7 + 
      86*T1^2*T2^8 + 79*T1^3*T2^8 - 561*T1^4*T2^8 + 326*T1^5*T2^8 + 
      1285*T1^6*T2^8 - 1587*T1^7*T2^8 + 1285*T1^8*T2^8 + 326*T1^9*T2^8 - 
      561*T1^10*T2^8 + 79*T1^11*T2^8 + 86*T1^12*T2^8 - 103*T1^3*T2^9 + 
      79*T1^4*T2^9 + 442*T1^5*T2^9 - 984*T1^6*T2^9 + 326*T1^7*T2^9 + 
      326*T1^8*T2^9 - 984*T1^9*T2^9 + 442*T1^10*T2^9 + 79*T1^11*T2^9 - 
      103*T1^12*T2^9 + 86*T1^4*T2^10 - 207*T1^5*T2^10 + 55*T1^6*T2^10 + 
      442*T1^7*T2^10 - 561*T1^8*T2^10 + 442*T1^9*T2^10 + 55*T1^10*T2^10 - 
      207*T1^11*T2^10 + 86*T1^12*T2^10 - 41*T1^5*T2^11 + 146*T1^6*T2^11 - 
      207*T1^7*T2^11 + 79*T1^8*T2^11 + 79*T1^9*T2^11 - 207*T1^10*T2^11 + 
      146*T1^11*T2^11 - 41*T1^12*T2^11 + 9*T1^6*T2^12 - 41*T1^7*T2^12 + 
      86*T1^8*T2^12 - 103*T1^9*T2^12 + 86*T1^10*T2^12 - 41*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 542] -> 
  {((1 - 3*T + T^2)*(1 - 6*T + 9*T^2 - 6*T^3 + T^4))/T^3, 
   -((1 - 9*T1 + 28*T1^2 - 39*T1^3 + 28*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
      72*T1*T2 - 171*T1^2*T2 + 99*T1^3*T2 + 99*T1^4*T2 - 171*T1^5*T2 + 
      72*T1^6*T2 - 9*T1^7*T2 + 28*T2^2 - 171*T1*T2^2 + 95*T1^2*T2^2 + 
      869*T1^3*T2^2 - 1505*T1^4*T2^2 + 869*T1^5*T2^2 + 95*T1^6*T2^2 - 
      171*T1^7*T2^2 + 28*T1^8*T2^2 - 39*T2^3 + 99*T1*T2^3 + 869*T1^2*T2^3 - 
      3104*T1^3*T2^3 + 1885*T1^4*T2^3 + 1885*T1^5*T2^3 - 3104*T1^6*T2^3 + 
      869*T1^7*T2^3 + 99*T1^8*T2^3 - 39*T1^9*T2^3 + 28*T2^4 + 99*T1*T2^4 - 
      1505*T1^2*T2^4 + 1885*T1^3*T2^4 + 5447*T1^4*T2^4 - 10391*T1^5*T2^4 + 
      5447*T1^6*T2^4 + 1885*T1^7*T2^4 - 1505*T1^8*T2^4 + 99*T1^9*T2^4 + 
      28*T1^10*T2^4 - 9*T2^5 - 171*T1*T2^5 + 869*T1^2*T2^5 + 1885*T1^3*T2^5 - 
      10391*T1^4*T2^5 + 6506*T1^5*T2^5 + 6506*T1^6*T2^5 - 10391*T1^7*T2^5 + 
      1885*T1^8*T2^5 + 869*T1^9*T2^5 - 171*T1^10*T2^5 - 9*T1^11*T2^5 + T2^6 + 
      72*T1*T2^6 + 95*T1^2*T2^6 - 3104*T1^3*T2^6 + 5447*T1^4*T2^6 + 
      6506*T1^5*T2^6 - 14904*T1^6*T2^6 + 6506*T1^7*T2^6 + 5447*T1^8*T2^6 - 
      3104*T1^9*T2^6 + 95*T1^10*T2^6 + 72*T1^11*T2^6 + T1^12*T2^6 - 
      9*T1*T2^7 - 171*T1^2*T2^7 + 869*T1^3*T2^7 + 1885*T1^4*T2^7 - 
      10391*T1^5*T2^7 + 6506*T1^6*T2^7 + 6506*T1^7*T2^7 - 10391*T1^8*T2^7 + 
      1885*T1^9*T2^7 + 869*T1^10*T2^7 - 171*T1^11*T2^7 - 9*T1^12*T2^7 + 
      28*T1^2*T2^8 + 99*T1^3*T2^8 - 1505*T1^4*T2^8 + 1885*T1^5*T2^8 + 
      5447*T1^6*T2^8 - 10391*T1^7*T2^8 + 5447*T1^8*T2^8 + 1885*T1^9*T2^8 - 
      1505*T1^10*T2^8 + 99*T1^11*T2^8 + 28*T1^12*T2^8 - 39*T1^3*T2^9 + 
      99*T1^4*T2^9 + 869*T1^5*T2^9 - 3104*T1^6*T2^9 + 1885*T1^7*T2^9 + 
      1885*T1^8*T2^9 - 3104*T1^9*T2^9 + 869*T1^10*T2^9 + 99*T1^11*T2^9 - 
      39*T1^12*T2^9 + 28*T1^4*T2^10 - 171*T1^5*T2^10 + 95*T1^6*T2^10 + 
      869*T1^7*T2^10 - 1505*T1^8*T2^10 + 869*T1^9*T2^10 + 95*T1^10*T2^10 - 
      171*T1^11*T2^10 + 28*T1^12*T2^10 - 9*T1^5*T2^11 + 72*T1^6*T2^11 - 
      171*T1^7*T2^11 + 99*T1^8*T2^11 + 99*T1^9*T2^11 - 171*T1^10*T2^11 + 
      72*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 
      28*T1^8*T2^12 - 39*T1^9*T2^12 + 28*T1^10*T2^12 - 9*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 543] -> 
  {(1 - 5*T + 15*T^2 - 21*T^3 + 15*T^4 - 5*T^5 + T^6)/T^3, 
   -((1 - 5*T1 + 15*T1^2 - 21*T1^3 + 15*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
      20*T1*T2 - 54*T1^2*T2 + 33*T1^3*T2 + 33*T1^4*T2 - 54*T1^5*T2 + 
      20*T1^6*T2 - 5*T1^7*T2 + 15*T2^2 - 54*T1*T2^2 + 182*T1^2*T2^2 - 
      135*T1^3*T2^2 + 66*T1^4*T2^2 - 135*T1^5*T2^2 + 182*T1^6*T2^2 - 
      54*T1^7*T2^2 + 15*T1^8*T2^2 - 21*T2^3 + 33*T1*T2^3 - 135*T1^2*T2^3 - 
      226*T1^3*T2^3 + 190*T1^4*T2^3 + 190*T1^5*T2^3 - 226*T1^6*T2^3 - 
      135*T1^7*T2^3 + 33*T1^8*T2^3 - 21*T1^9*T2^3 + 15*T2^4 + 33*T1*T2^4 + 
      66*T1^2*T2^4 + 190*T1^3*T2^4 + 1034*T1^4*T2^4 - 1870*T1^5*T2^4 + 
      1034*T1^6*T2^4 + 190*T1^7*T2^4 + 66*T1^8*T2^4 + 33*T1^9*T2^4 + 
      15*T1^10*T2^4 - 5*T2^5 - 54*T1*T2^5 - 135*T1^2*T2^5 + 190*T1^3*T2^5 - 
      1870*T1^4*T2^5 + 1178*T1^5*T2^5 + 1178*T1^6*T2^5 - 1870*T1^7*T2^5 + 
      190*T1^8*T2^5 - 135*T1^9*T2^5 - 54*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
      20*T1*T2^6 + 182*T1^2*T2^6 - 226*T1^3*T2^6 + 1034*T1^4*T2^6 + 
      1178*T1^5*T2^6 - 2712*T1^6*T2^6 + 1178*T1^7*T2^6 + 1034*T1^8*T2^6 - 
      226*T1^9*T2^6 + 182*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 
      5*T1*T2^7 - 54*T1^2*T2^7 - 135*T1^3*T2^7 + 190*T1^4*T2^7 - 
      1870*T1^5*T2^7 + 1178*T1^6*T2^7 + 1178*T1^7*T2^7 - 1870*T1^8*T2^7 + 
      190*T1^9*T2^7 - 135*T1^10*T2^7 - 54*T1^11*T2^7 - 5*T1^12*T2^7 + 
      15*T1^2*T2^8 + 33*T1^3*T2^8 + 66*T1^4*T2^8 + 190*T1^5*T2^8 + 
      1034*T1^6*T2^8 - 1870*T1^7*T2^8 + 1034*T1^8*T2^8 + 190*T1^9*T2^8 + 
      66*T1^10*T2^8 + 33*T1^11*T2^8 + 15*T1^12*T2^8 - 21*T1^3*T2^9 + 
      33*T1^4*T2^9 - 135*T1^5*T2^9 - 226*T1^6*T2^9 + 190*T1^7*T2^9 + 
      190*T1^8*T2^9 - 226*T1^9*T2^9 - 135*T1^10*T2^9 + 33*T1^11*T2^9 - 
      21*T1^12*T2^9 + 15*T1^4*T2^10 - 54*T1^5*T2^10 + 182*T1^6*T2^10 - 
      135*T1^7*T2^10 + 66*T1^8*T2^10 - 135*T1^9*T2^10 + 182*T1^10*T2^10 - 
      54*T1^11*T2^10 + 15*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 
      54*T1^7*T2^11 + 33*T1^8*T2^11 + 33*T1^9*T2^11 - 54*T1^10*T2^11 + 
      20*T1^11*T2^11 - 5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 
      15*T1^8*T2^12 - 21*T1^9*T2^12 + 15*T1^10*T2^12 - 5*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 544] -> 
  {(2 - 12*T + 28*T^2 - 35*T^3 + 28*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (9 - 53*T1 + 120*T1^2 - 147*T1^3 + 120*T1^4 - 53*T1^5 + 9*T1^6 - 53*T2 + 
     262*T1*T2 - 405*T1^2*T2 + 167*T1^3*T2 + 167*T1^4*T2 - 405*T1^5*T2 + 
     262*T1^6*T2 - 53*T1^7*T2 + 120*T2^2 - 405*T1*T2^2 - 98*T1^2*T2^2 + 
     1540*T1^3*T2^2 - 2018*T1^4*T2^2 + 1540*T1^5*T2^2 - 98*T1^6*T2^2 - 
     405*T1^7*T2^2 + 120*T1^8*T2^2 - 147*T2^3 + 167*T1*T2^3 + 
     1540*T1^2*T2^3 - 3256*T1^3*T2^3 + 1252*T1^4*T2^3 + 1252*T1^5*T2^3 - 
     3256*T1^6*T2^3 + 1540*T1^7*T2^3 + 167*T1^8*T2^3 - 147*T1^9*T2^3 + 
     120*T2^4 + 167*T1*T2^4 - 2018*T1^2*T2^4 + 1252*T1^3*T2^4 + 
     4194*T1^4*T2^4 - 5644*T1^5*T2^4 + 4194*T1^6*T2^4 + 1252*T1^7*T2^4 - 
     2018*T1^8*T2^4 + 167*T1^9*T2^4 + 120*T1^10*T2^4 - 53*T2^5 - 
     405*T1*T2^5 + 1540*T1^2*T2^5 + 1252*T1^3*T2^5 - 5644*T1^4*T2^5 + 
     1998*T1^5*T2^5 + 1998*T1^6*T2^5 - 5644*T1^7*T2^5 + 1252*T1^8*T2^5 + 
     1540*T1^9*T2^5 - 405*T1^10*T2^5 - 53*T1^11*T2^5 + 9*T2^6 + 262*T1*T2^6 - 
     98*T1^2*T2^6 - 3256*T1^3*T2^6 + 4194*T1^4*T2^6 + 1998*T1^5*T2^6 - 
     3252*T1^6*T2^6 + 1998*T1^7*T2^6 + 4194*T1^8*T2^6 - 3256*T1^9*T2^6 - 
     98*T1^10*T2^6 + 262*T1^11*T2^6 + 9*T1^12*T2^6 - 53*T1*T2^7 - 
     405*T1^2*T2^7 + 1540*T1^3*T2^7 + 1252*T1^4*T2^7 - 5644*T1^5*T2^7 + 
     1998*T1^6*T2^7 + 1998*T1^7*T2^7 - 5644*T1^8*T2^7 + 1252*T1^9*T2^7 + 
     1540*T1^10*T2^7 - 405*T1^11*T2^7 - 53*T1^12*T2^7 + 120*T1^2*T2^8 + 
     167*T1^3*T2^8 - 2018*T1^4*T2^8 + 1252*T1^5*T2^8 + 4194*T1^6*T2^8 - 
     5644*T1^7*T2^8 + 4194*T1^8*T2^8 + 1252*T1^9*T2^8 - 2018*T1^10*T2^8 + 
     167*T1^11*T2^8 + 120*T1^12*T2^8 - 147*T1^3*T2^9 + 167*T1^4*T2^9 + 
     1540*T1^5*T2^9 - 3256*T1^6*T2^9 + 1252*T1^7*T2^9 + 1252*T1^8*T2^9 - 
     3256*T1^9*T2^9 + 1540*T1^10*T2^9 + 167*T1^11*T2^9 - 147*T1^12*T2^9 + 
     120*T1^4*T2^10 - 405*T1^5*T2^10 - 98*T1^6*T2^10 + 1540*T1^7*T2^10 - 
     2018*T1^8*T2^10 + 1540*T1^9*T2^10 - 98*T1^10*T2^10 - 405*T1^11*T2^10 + 
     120*T1^12*T2^10 - 53*T1^5*T2^11 + 262*T1^6*T2^11 - 405*T1^7*T2^11 + 
     167*T1^8*T2^11 + 167*T1^9*T2^11 - 405*T1^10*T2^11 + 262*T1^11*T2^11 - 
     53*T1^12*T2^11 + 9*T1^6*T2^12 - 53*T1^7*T2^12 + 120*T1^8*T2^12 - 
     147*T1^9*T2^12 + 120*T1^10*T2^12 - 53*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 545] -> 
  {-(((1 - 3*T + T^2)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^3), 
   -((17 - 84*T1 + 158*T1^2 - 191*T1^3 + 158*T1^4 - 84*T1^5 + 17*T1^6 - 
      84*T2 + 332*T1*T2 - 369*T1^2*T2 + 165*T1^3*T2 + 165*T1^4*T2 - 
      369*T1^5*T2 + 332*T1^6*T2 - 84*T1^7*T2 + 158*T2^2 - 369*T1*T2^2 - 
      393*T1^2*T2^2 + 1270*T1^3*T2^2 - 1695*T1^4*T2^2 + 1270*T1^5*T2^2 - 
      393*T1^6*T2^2 - 369*T1^7*T2^2 + 158*T1^8*T2^2 - 191*T2^3 + 
      165*T1*T2^3 + 1270*T1^2*T2^3 - 1536*T1^3*T2^3 + 738*T1^4*T2^3 + 
      738*T1^5*T2^3 - 1536*T1^6*T2^3 + 1270*T1^7*T2^3 + 165*T1^8*T2^3 - 
      191*T1^9*T2^3 + 158*T2^4 + 165*T1*T2^4 - 1695*T1^2*T2^4 + 
      738*T1^3*T2^4 + 533*T1^4*T2^4 - 1345*T1^5*T2^4 + 533*T1^6*T2^4 + 
      738*T1^7*T2^4 - 1695*T1^8*T2^4 + 165*T1^9*T2^4 + 158*T1^10*T2^4 - 
      84*T2^5 - 369*T1*T2^5 + 1270*T1^2*T2^5 + 738*T1^3*T2^5 - 
      1345*T1^4*T2^5 + 830*T1^5*T2^5 + 830*T1^6*T2^5 - 1345*T1^7*T2^5 + 
      738*T1^8*T2^5 + 1270*T1^9*T2^5 - 369*T1^10*T2^5 - 84*T1^11*T2^5 + 
      17*T2^6 + 332*T1*T2^6 - 393*T1^2*T2^6 - 1536*T1^3*T2^6 + 
      533*T1^4*T2^6 + 830*T1^5*T2^6 - 1848*T1^6*T2^6 + 830*T1^7*T2^6 + 
      533*T1^8*T2^6 - 1536*T1^9*T2^6 - 393*T1^10*T2^6 + 332*T1^11*T2^6 + 
      17*T1^12*T2^6 - 84*T1*T2^7 - 369*T1^2*T2^7 + 1270*T1^3*T2^7 + 
      738*T1^4*T2^7 - 1345*T1^5*T2^7 + 830*T1^6*T2^7 + 830*T1^7*T2^7 - 
      1345*T1^8*T2^7 + 738*T1^9*T2^7 + 1270*T1^10*T2^7 - 369*T1^11*T2^7 - 
      84*T1^12*T2^7 + 158*T1^2*T2^8 + 165*T1^3*T2^8 - 1695*T1^4*T2^8 + 
      738*T1^5*T2^8 + 533*T1^6*T2^8 - 1345*T1^7*T2^8 + 533*T1^8*T2^8 + 
      738*T1^9*T2^8 - 1695*T1^10*T2^8 + 165*T1^11*T2^8 + 158*T1^12*T2^8 - 
      191*T1^3*T2^9 + 165*T1^4*T2^9 + 1270*T1^5*T2^9 - 1536*T1^6*T2^9 + 
      738*T1^7*T2^9 + 738*T1^8*T2^9 - 1536*T1^9*T2^9 + 1270*T1^10*T2^9 + 
      165*T1^11*T2^9 - 191*T1^12*T2^9 + 158*T1^4*T2^10 - 369*T1^5*T2^10 - 
      393*T1^6*T2^10 + 1270*T1^7*T2^10 - 1695*T1^8*T2^10 + 1270*T1^9*T2^10 - 
      393*T1^10*T2^10 - 369*T1^11*T2^10 + 158*T1^12*T2^10 - 84*T1^5*T2^11 + 
      332*T1^6*T2^11 - 369*T1^7*T2^11 + 165*T1^8*T2^11 + 165*T1^9*T2^11 - 
      369*T1^10*T2^11 + 332*T1^11*T2^11 - 84*T1^12*T2^11 + 17*T1^6*T2^12 - 
      84*T1^7*T2^12 + 158*T1^8*T2^12 - 191*T1^9*T2^12 + 158*T1^10*T2^12 - 
      84*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 546] -> 
  {(2 - 8*T + 14*T^2 - 15*T^3 + 14*T^4 - 8*T^5 + 2*T^6)/T^3, 
   -((9 - 37*T1 + 65*T1^2 - 69*T1^3 + 65*T1^4 - 37*T1^5 + 9*T1^6 - 37*T2 + 
      114*T1*T2 - 114*T1^2*T2 + 16*T1^3*T2 + 16*T1^4*T2 - 114*T1^5*T2 + 
      114*T1^6*T2 - 37*T1^7*T2 + 65*T2^2 - 114*T1*T2^2 - 88*T1^2*T2^2 + 
      342*T1^3*T2^2 - 254*T1^4*T2^2 + 342*T1^5*T2^2 - 88*T1^6*T2^2 - 
      114*T1^7*T2^2 + 65*T1^8*T2^2 - 69*T2^3 + 16*T1*T2^3 + 342*T1^2*T2^3 - 
      440*T1^3*T2^3 - 20*T1^4*T2^3 - 20*T1^5*T2^3 - 440*T1^6*T2^3 + 
      342*T1^7*T2^3 + 16*T1^8*T2^3 - 69*T1^9*T2^3 + 65*T2^4 + 16*T1*T2^4 - 
      254*T1^2*T2^4 - 20*T1^3*T2^4 + 669*T1^4*T2^4 - 433*T1^5*T2^4 + 
      669*T1^6*T2^4 - 20*T1^7*T2^4 - 254*T1^8*T2^4 + 16*T1^9*T2^4 + 
      65*T1^10*T2^4 - 37*T2^5 - 114*T1*T2^5 + 342*T1^2*T2^5 - 20*T1^3*T2^5 - 
      433*T1^4*T2^5 - 50*T1^5*T2^5 - 50*T1^6*T2^5 - 433*T1^7*T2^5 - 
      20*T1^8*T2^5 + 342*T1^9*T2^5 - 114*T1^10*T2^5 - 37*T1^11*T2^5 + 
      9*T2^6 + 114*T1*T2^6 - 88*T1^2*T2^6 - 440*T1^3*T2^6 + 669*T1^4*T2^6 - 
      50*T1^5*T2^6 + 228*T1^6*T2^6 - 50*T1^7*T2^6 + 669*T1^8*T2^6 - 
      440*T1^9*T2^6 - 88*T1^10*T2^6 + 114*T1^11*T2^6 + 9*T1^12*T2^6 - 
      37*T1*T2^7 - 114*T1^2*T2^7 + 342*T1^3*T2^7 - 20*T1^4*T2^7 - 
      433*T1^5*T2^7 - 50*T1^6*T2^7 - 50*T1^7*T2^7 - 433*T1^8*T2^7 - 
      20*T1^9*T2^7 + 342*T1^10*T2^7 - 114*T1^11*T2^7 - 37*T1^12*T2^7 + 
      65*T1^2*T2^8 + 16*T1^3*T2^8 - 254*T1^4*T2^8 - 20*T1^5*T2^8 + 
      669*T1^6*T2^8 - 433*T1^7*T2^8 + 669*T1^8*T2^8 - 20*T1^9*T2^8 - 
      254*T1^10*T2^8 + 16*T1^11*T2^8 + 65*T1^12*T2^8 - 69*T1^3*T2^9 + 
      16*T1^4*T2^9 + 342*T1^5*T2^9 - 440*T1^6*T2^9 - 20*T1^7*T2^9 - 
      20*T1^8*T2^9 - 440*T1^9*T2^9 + 342*T1^10*T2^9 + 16*T1^11*T2^9 - 
      69*T1^12*T2^9 + 65*T1^4*T2^10 - 114*T1^5*T2^10 - 88*T1^6*T2^10 + 
      342*T1^7*T2^10 - 254*T1^8*T2^10 + 342*T1^9*T2^10 - 88*T1^10*T2^10 - 
      114*T1^11*T2^10 + 65*T1^12*T2^10 - 37*T1^5*T2^11 + 114*T1^6*T2^11 - 
      114*T1^7*T2^11 + 16*T1^8*T2^11 + 16*T1^9*T2^11 - 114*T1^10*T2^11 + 
      114*T1^11*T2^11 - 37*T1^12*T2^11 + 9*T1^6*T2^12 - 37*T1^7*T2^12 + 
      65*T1^8*T2^12 - 69*T1^9*T2^12 + 65*T1^10*T2^12 - 37*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 547] -> 
  {(4 - 17*T + 27*T^2 - 17*T^3 + 4*T^4)/T^2, 
   (-2*(8 - 38*T1 + 64*T1^2 - 38*T1^3 + 8*T1^4 - 38*T2 + 139*T1*T2 - 
      120*T1^2*T2 - 120*T1^3*T2 + 139*T1^4*T2 - 38*T1^5*T2 + 64*T2^2 - 
      120*T1*T2^2 - 247*T1^2*T2^2 + 758*T1^3*T2^2 - 247*T1^4*T2^2 - 
      120*T1^5*T2^2 + 64*T1^6*T2^2 - 38*T2^3 - 120*T1*T2^3 + 758*T1^2*T2^3 - 
      765*T1^3*T2^3 - 765*T1^4*T2^3 + 758*T1^5*T2^3 - 120*T1^6*T2^3 - 
      38*T1^7*T2^3 + 8*T2^4 + 139*T1*T2^4 - 247*T1^2*T2^4 - 765*T1^3*T2^4 + 
      2154*T1^4*T2^4 - 765*T1^5*T2^4 - 247*T1^6*T2^4 + 139*T1^7*T2^4 + 
      8*T1^8*T2^4 - 38*T1*T2^5 - 120*T1^2*T2^5 + 758*T1^3*T2^5 - 
      765*T1^4*T2^5 - 765*T1^5*T2^5 + 758*T1^6*T2^5 - 120*T1^7*T2^5 - 
      38*T1^8*T2^5 + 64*T1^2*T2^6 - 120*T1^3*T2^6 - 247*T1^4*T2^6 + 
      758*T1^5*T2^6 - 247*T1^6*T2^6 - 120*T1^7*T2^6 + 64*T1^8*T2^6 - 
      38*T1^3*T2^7 + 139*T1^4*T2^7 - 120*T1^5*T2^7 - 120*T1^6*T2^7 + 
      139*T1^7*T2^7 - 38*T1^8*T2^7 + 8*T1^4*T2^8 - 38*T1^5*T2^8 + 
      64*T1^6*T2^8 - 38*T1^7*T2^8 + 8*T1^8*T2^8))/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 548] -> 
  {-((1 - 8*T + 20*T^2 - 27*T^3 + 20*T^4 - 8*T^5 + T^6)/T^3), 
   (2*T1 - T1^2 - T1^3 + 2*T1^4 + 2*T2 - 38*T1*T2 + 72*T1^2*T2 - 96*T1^3*T2 + 
     72*T1^4*T2 - 38*T1^5*T2 + 2*T1^6*T2 - T2^2 + 72*T1*T2^2 - 60*T1^2*T2^2 + 
     47*T1^3*T2^2 + 47*T1^4*T2^2 - 60*T1^5*T2^2 + 72*T1^6*T2^2 - T1^7*T2^2 - 
     T2^3 - 96*T1*T2^3 + 47*T1^2*T2^3 - 192*T1^3*T2^3 + 166*T1^4*T2^3 - 
     192*T1^5*T2^3 + 47*T1^6*T2^3 - 96*T1^7*T2^3 - T1^8*T2^3 + 2*T2^4 + 
     72*T1*T2^4 + 47*T1^2*T2^4 + 166*T1^3*T2^4 - 6*T1^4*T2^4 - 6*T1^5*T2^4 + 
     166*T1^6*T2^4 + 47*T1^7*T2^4 + 72*T1^8*T2^4 + 2*T1^9*T2^4 - 38*T1*T2^5 - 
     60*T1^2*T2^5 - 192*T1^3*T2^5 - 6*T1^4*T2^5 - 84*T1^5*T2^5 - 
     6*T1^6*T2^5 - 192*T1^7*T2^5 - 60*T1^8*T2^5 - 38*T1^9*T2^5 + 2*T1*T2^6 + 
     72*T1^2*T2^6 + 47*T1^3*T2^6 + 166*T1^4*T2^6 - 6*T1^5*T2^6 - 
     6*T1^6*T2^6 + 166*T1^7*T2^6 + 47*T1^8*T2^6 + 72*T1^9*T2^6 + 
     2*T1^10*T2^6 - T1^2*T2^7 - 96*T1^3*T2^7 + 47*T1^4*T2^7 - 192*T1^5*T2^7 + 
     166*T1^6*T2^7 - 192*T1^7*T2^7 + 47*T1^8*T2^7 - 96*T1^9*T2^7 - 
     T1^10*T2^7 - T1^3*T2^8 + 72*T1^4*T2^8 - 60*T1^5*T2^8 + 47*T1^6*T2^8 + 
     47*T1^7*T2^8 - 60*T1^8*T2^8 + 72*T1^9*T2^8 - T1^10*T2^8 + 2*T1^4*T2^9 - 
     38*T1^5*T2^9 + 72*T1^6*T2^9 - 96*T1^7*T2^9 + 72*T1^8*T2^9 - 
     38*T1^9*T2^9 + 2*T1^10*T2^9 + 2*T1^6*T2^10 - T1^7*T2^10 - T1^8*T2^10 + 
     2*T1^9*T2^10)/(T1^5*T2^5)}, 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)*(1 - 2*T1 + 3*T1^2 - 2*T1^3 + T1^4 - 2*T2 + 
      4*T1*T2 - 3*T1^2*T2 - 3*T1^3*T2 + 4*T1^4*T2 - 2*T1^5*T2 + 3*T2^2 - 
      3*T1*T2^2 + 19*T1^2*T2^2 - 25*T1^3*T2^2 + 19*T1^4*T2^2 - 3*T1^5*T2^2 + 
      3*T1^6*T2^2 - 2*T2^3 - 3*T1*T2^3 - 25*T1^2*T2^3 + 10*T1^3*T2^3 + 
      10*T1^4*T2^3 - 25*T1^5*T2^3 - 3*T1^6*T2^3 - 2*T1^7*T2^3 + T2^4 + 
      4*T1*T2^4 + 19*T1^2*T2^4 + 10*T1^3*T2^4 - 12*T1^4*T2^4 + 10*T1^5*T2^4 + 
      19*T1^6*T2^4 + 4*T1^7*T2^4 + T1^8*T2^4 - 2*T1*T2^5 - 3*T1^2*T2^5 - 
      25*T1^3*T2^5 + 10*T1^4*T2^5 + 10*T1^5*T2^5 - 25*T1^6*T2^5 - 
      3*T1^7*T2^5 - 2*T1^8*T2^5 + 3*T1^2*T2^6 - 3*T1^3*T2^6 + 19*T1^4*T2^6 - 
      25*T1^5*T2^6 + 19*T1^6*T2^6 - 3*T1^7*T2^6 + 3*T1^8*T2^6 - 2*T1^3*T2^7 + 
      4*T1^4*T2^7 - 3*T1^5*T2^7 - 3*T1^6*T2^7 + 4*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))/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 550] -> 
  {(2 - 8*T + 13*T^2 - 8*T^3 + 2*T^4)/T^2, 
   -((3 - 13*T1 + 23*T1^2 - 13*T1^3 + 3*T1^4 - 13*T2 + 44*T1*T2 - 
      44*T1^2*T2 - 44*T1^3*T2 + 44*T1^4*T2 - 13*T1^5*T2 + 23*T2^2 - 
      44*T1*T2^2 - 28*T1^2*T2^2 + 214*T1^3*T2^2 - 28*T1^4*T2^2 - 
      44*T1^5*T2^2 + 23*T1^6*T2^2 - 13*T2^3 - 44*T1*T2^3 + 214*T1^2*T2^3 - 
      298*T1^3*T2^3 - 298*T1^4*T2^3 + 214*T1^5*T2^3 - 44*T1^6*T2^3 - 
      13*T1^7*T2^3 + 3*T2^4 + 44*T1*T2^4 - 28*T1^2*T2^4 - 298*T1^3*T2^4 + 
      936*T1^4*T2^4 - 298*T1^5*T2^4 - 28*T1^6*T2^4 + 44*T1^7*T2^4 + 
      3*T1^8*T2^4 - 13*T1*T2^5 - 44*T1^2*T2^5 + 214*T1^3*T2^5 - 
      298*T1^4*T2^5 - 298*T1^5*T2^5 + 214*T1^6*T2^5 - 44*T1^7*T2^5 - 
      13*T1^8*T2^5 + 23*T1^2*T2^6 - 44*T1^3*T2^6 - 28*T1^4*T2^6 + 
      214*T1^5*T2^6 - 28*T1^6*T2^6 - 44*T1^7*T2^6 + 23*T1^8*T2^6 - 
      13*T1^3*T2^7 + 44*T1^4*T2^7 - 44*T1^5*T2^7 - 44*T1^6*T2^7 + 
      44*T1^7*T2^7 - 13*T1^8*T2^7 + 3*T1^4*T2^8 - 13*T1^5*T2^8 + 
      23*T1^6*T2^8 - 13*T1^7*T2^8 + 3*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, NonAlternating, 551] -> 
  {-((3 - 13*T + 23*T^2 - 27*T^3 + 23*T^4 - 13*T^5 + 3*T^6)/T^3), 
   -((57 - 242*T1 + 420*T1^2 - 491*T1^3 + 420*T1^4 - 242*T1^5 + 57*T1^6 - 
      242*T2 + 788*T1*T2 - 761*T1^2*T2 + 303*T1^3*T2 + 303*T1^4*T2 - 
      761*T1^5*T2 + 788*T1^6*T2 - 242*T1^7*T2 + 420*T2^2 - 761*T1*T2^2 - 
      873*T1^2*T2^2 + 2335*T1^3*T2^2 - 2893*T1^4*T2^2 + 2335*T1^5*T2^2 - 
      873*T1^6*T2^2 - 761*T1^7*T2^2 + 420*T1^8*T2^2 - 491*T2^3 + 
      303*T1*T2^3 + 2335*T1^2*T2^3 - 2376*T1^3*T2^3 + 975*T1^4*T2^3 + 
      975*T1^5*T2^3 - 2376*T1^6*T2^3 + 2335*T1^7*T2^3 + 303*T1^8*T2^3 - 
      491*T1^9*T2^3 + 420*T2^4 + 303*T1*T2^4 - 2893*T1^2*T2^4 + 
      975*T1^3*T2^4 + 721*T1^4*T2^4 - 1525*T1^5*T2^4 + 721*T1^6*T2^4 + 
      975*T1^7*T2^4 - 2893*T1^8*T2^4 + 303*T1^9*T2^4 + 420*T1^10*T2^4 - 
      242*T2^5 - 761*T1*T2^5 + 2335*T1^2*T2^5 + 975*T1^3*T2^5 - 
      1525*T1^4*T2^5 + 834*T1^5*T2^5 + 834*T1^6*T2^5 - 1525*T1^7*T2^5 + 
      975*T1^8*T2^5 + 2335*T1^9*T2^5 - 761*T1^10*T2^5 - 242*T1^11*T2^5 + 
      57*T2^6 + 788*T1*T2^6 - 873*T1^2*T2^6 - 2376*T1^3*T2^6 + 
      721*T1^4*T2^6 + 834*T1^5*T2^6 - 1812*T1^6*T2^6 + 834*T1^7*T2^6 + 
      721*T1^8*T2^6 - 2376*T1^9*T2^6 - 873*T1^10*T2^6 + 788*T1^11*T2^6 + 
      57*T1^12*T2^6 - 242*T1*T2^7 - 761*T1^2*T2^7 + 2335*T1^3*T2^7 + 
      975*T1^4*T2^7 - 1525*T1^5*T2^7 + 834*T1^6*T2^7 + 834*T1^7*T2^7 - 
      1525*T1^8*T2^7 + 975*T1^9*T2^7 + 2335*T1^10*T2^7 - 761*T1^11*T2^7 - 
      242*T1^12*T2^7 + 420*T1^2*T2^8 + 303*T1^3*T2^8 - 2893*T1^4*T2^8 + 
      975*T1^5*T2^8 + 721*T1^6*T2^8 - 1525*T1^7*T2^8 + 721*T1^8*T2^8 + 
      975*T1^9*T2^8 - 2893*T1^10*T2^8 + 303*T1^11*T2^8 + 420*T1^12*T2^8 - 
      491*T1^3*T2^9 + 303*T1^4*T2^9 + 2335*T1^5*T2^9 - 2376*T1^6*T2^9 + 
      975*T1^7*T2^9 + 975*T1^8*T2^9 - 2376*T1^9*T2^9 + 2335*T1^10*T2^9 + 
      303*T1^11*T2^9 - 491*T1^12*T2^9 + 420*T1^4*T2^10 - 761*T1^5*T2^10 - 
      873*T1^6*T2^10 + 2335*T1^7*T2^10 - 2893*T1^8*T2^10 + 2335*T1^9*T2^10 - 
      873*T1^10*T2^10 - 761*T1^11*T2^10 + 420*T1^12*T2^10 - 242*T1^5*T2^11 + 
      788*T1^6*T2^11 - 761*T1^7*T2^11 + 303*T1^8*T2^11 + 303*T1^9*T2^11 - 
      761*T1^10*T2^11 + 788*T1^11*T2^11 - 242*T1^12*T2^11 + 57*T1^6*T2^12 - 
      242*T1^7*T2^12 + 420*T1^8*T2^12 - 491*T1^9*T2^12 + 420*T1^10*T2^12 - 
      242*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 552] -> 
  {-((1 - 3*T + T^2 + T^3 + T^4 - 3*T^5 + T^6)/T^3), 
   (2 - 7*T1 + 4*T1^2 + 4*T1^3 - 7*T1^4 + 2*T1^5 - 7*T2 + 16*T1*T2 + 
     13*T1^2*T2 - 32*T1^3*T2 + 13*T1^4*T2 + 16*T1^5*T2 - 7*T1^6*T2 + 4*T2^2 + 
     13*T1*T2^2 - 68*T1^2*T2^2 + 41*T1^3*T2^2 + 41*T1^4*T2^2 - 68*T1^5*T2^2 + 
     13*T1^6*T2^2 + 4*T1^7*T2^2 + 4*T2^3 - 32*T1*T2^3 + 41*T1^2*T2^3 + 
     14*T1^3*T2^3 - 64*T1^4*T2^3 + 14*T1^5*T2^3 + 41*T1^6*T2^3 - 
     32*T1^7*T2^3 + 4*T1^8*T2^3 - 7*T2^4 + 13*T1*T2^4 + 41*T1^2*T2^4 - 
     64*T1^3*T2^4 + 52*T1^4*T2^4 + 52*T1^5*T2^4 - 64*T1^6*T2^4 + 
     41*T1^7*T2^4 + 13*T1^8*T2^4 - 7*T1^9*T2^4 + 2*T2^5 + 16*T1*T2^5 - 
     68*T1^2*T2^5 + 14*T1^3*T2^5 + 52*T1^4*T2^5 - 132*T1^5*T2^5 + 
     52*T1^6*T2^5 + 14*T1^7*T2^5 - 68*T1^8*T2^5 + 16*T1^9*T2^5 + 
     2*T1^10*T2^5 - 7*T1*T2^6 + 13*T1^2*T2^6 + 41*T1^3*T2^6 - 64*T1^4*T2^6 + 
     52*T1^5*T2^6 + 52*T1^6*T2^6 - 64*T1^7*T2^6 + 41*T1^8*T2^6 + 
     13*T1^9*T2^6 - 7*T1^10*T2^6 + 4*T1^2*T2^7 - 32*T1^3*T2^7 + 
     41*T1^4*T2^7 + 14*T1^5*T2^7 - 64*T1^6*T2^7 + 14*T1^7*T2^7 + 
     41*T1^8*T2^7 - 32*T1^9*T2^7 + 4*T1^10*T2^7 + 4*T1^3*T2^8 + 
     13*T1^4*T2^8 - 68*T1^5*T2^8 + 41*T1^6*T2^8 + 41*T1^7*T2^8 - 
     68*T1^8*T2^8 + 13*T1^9*T2^8 + 4*T1^10*T2^8 - 7*T1^4*T2^9 + 
     16*T1^5*T2^9 + 13*T1^6*T2^9 - 32*T1^7*T2^9 + 13*T1^8*T2^9 + 
     16*T1^9*T2^9 - 7*T1^10*T2^9 + 2*T1^5*T2^10 - 7*T1^6*T2^10 + 
     4*T1^7*T2^10 + 4*T1^8*T2^10 - 7*T1^9*T2^10 + 2*T1^10*T2^10)/
    (T1^5*T2^5)}, 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)*(1 - 3*T1 + T1^2 - 3*T2 + 
      6*T1*T2 + 6*T1^2*T2 - 3*T1^3*T2 + T2^2 + 6*T1*T2^2 - 24*T1^2*T2^2 + 
      6*T1^3*T2^2 + T1^4*T2^2 - 3*T1*T2^3 + 6*T1^2*T2^3 + 6*T1^3*T2^3 - 
      3*T1^4*T2^3 + T1^2*T2^4 - 3*T1^3*T2^4 + T1^4*T2^4))/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 554] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2))/T^2), 
   (7 - 21*T1 + 25*T1^2 - 21*T1^3 + 7*T1^4 - 21*T2 + 40*T1*T2 - 12*T1^2*T2 - 
     12*T1^3*T2 + 40*T1^4*T2 - 21*T1^5*T2 + 25*T2^2 - 12*T1*T2^2 - 
     42*T1^2*T2^2 + 44*T1^3*T2^2 - 42*T1^4*T2^2 - 12*T1^5*T2^2 + 
     25*T1^6*T2^2 - 21*T2^3 - 12*T1*T2^3 + 44*T1^2*T2^3 - 18*T1^3*T2^3 - 
     18*T1^4*T2^3 + 44*T1^5*T2^3 - 12*T1^6*T2^3 - 21*T1^7*T2^3 + 7*T2^4 + 
     40*T1*T2^4 - 42*T1^2*T2^4 - 18*T1^3*T2^4 + 60*T1^4*T2^4 - 18*T1^5*T2^4 - 
     42*T1^6*T2^4 + 40*T1^7*T2^4 + 7*T1^8*T2^4 - 21*T1*T2^5 - 12*T1^2*T2^5 + 
     44*T1^3*T2^5 - 18*T1^4*T2^5 - 18*T1^5*T2^5 + 44*T1^6*T2^5 - 
     12*T1^7*T2^5 - 21*T1^8*T2^5 + 25*T1^2*T2^6 - 12*T1^3*T2^6 - 
     42*T1^4*T2^6 + 44*T1^5*T2^6 - 42*T1^6*T2^6 - 12*T1^7*T2^6 + 
     25*T1^8*T2^6 - 21*T1^3*T2^7 + 40*T1^4*T2^7 - 12*T1^5*T2^7 - 
     12*T1^6*T2^7 + 40*T1^7*T2^7 - 21*T1^8*T2^7 + 7*T1^4*T2^8 - 
     21*T1^5*T2^8 + 25*T1^6*T2^8 - 21*T1^7*T2^8 + 7*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 555] -> 
  {(1 - 9*T + 33*T^2 - 49*T^3 + 33*T^4 - 9*T^5 + T^6)/T^3, 
   -((1 - 9*T1 + 33*T1^2 - 49*T1^3 + 33*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
      72*T1*T2 - 216*T1^2*T2 + 144*T1^3*T2 + 144*T1^4*T2 - 216*T1^5*T2 + 
      72*T1^6*T2 - 9*T1^7*T2 + 33*T2^2 - 216*T1*T2^2 + 390*T1^2*T2^2 + 
      794*T1^3*T2^2 - 1850*T1^4*T2^2 + 794*T1^5*T2^2 + 390*T1^6*T2^2 - 
      216*T1^7*T2^2 + 33*T1^8*T2^2 - 49*T2^3 + 144*T1*T2^3 + 794*T1^2*T2^3 - 
      4912*T1^3*T2^3 + 3656*T1^4*T2^3 + 3656*T1^5*T2^3 - 4912*T1^6*T2^3 + 
      794*T1^7*T2^3 + 144*T1^8*T2^3 - 49*T1^9*T2^3 + 33*T2^4 + 144*T1*T2^4 - 
      1850*T1^2*T2^4 + 3656*T1^3*T2^4 + 11495*T1^4*T2^4 - 24775*T1^5*T2^4 + 
      11495*T1^6*T2^4 + 3656*T1^7*T2^4 - 1850*T1^8*T2^4 + 144*T1^9*T2^4 + 
      33*T1^10*T2^4 - 9*T2^5 - 216*T1*T2^5 + 794*T1^2*T2^5 + 3656*T1^3*T2^5 - 
      24775*T1^4*T2^5 + 18496*T1^5*T2^5 + 18496*T1^6*T2^5 - 24775*T1^7*T2^5 + 
      3656*T1^8*T2^5 + 794*T1^9*T2^5 - 216*T1^10*T2^5 - 9*T1^11*T2^5 + T2^6 + 
      72*T1*T2^6 + 390*T1^2*T2^6 - 4912*T1^3*T2^6 + 11495*T1^4*T2^6 + 
      18496*T1^5*T2^6 - 46032*T1^6*T2^6 + 18496*T1^7*T2^6 + 11495*T1^8*T2^6 - 
      4912*T1^9*T2^6 + 390*T1^10*T2^6 + 72*T1^11*T2^6 + T1^12*T2^6 - 
      9*T1*T2^7 - 216*T1^2*T2^7 + 794*T1^3*T2^7 + 3656*T1^4*T2^7 - 
      24775*T1^5*T2^7 + 18496*T1^6*T2^7 + 18496*T1^7*T2^7 - 24775*T1^8*T2^7 + 
      3656*T1^9*T2^7 + 794*T1^10*T2^7 - 216*T1^11*T2^7 - 9*T1^12*T2^7 + 
      33*T1^2*T2^8 + 144*T1^3*T2^8 - 1850*T1^4*T2^8 + 3656*T1^5*T2^8 + 
      11495*T1^6*T2^8 - 24775*T1^7*T2^8 + 11495*T1^8*T2^8 + 3656*T1^9*T2^8 - 
      1850*T1^10*T2^8 + 144*T1^11*T2^8 + 33*T1^12*T2^8 - 49*T1^3*T2^9 + 
      144*T1^4*T2^9 + 794*T1^5*T2^9 - 4912*T1^6*T2^9 + 3656*T1^7*T2^9 + 
      3656*T1^8*T2^9 - 4912*T1^9*T2^9 + 794*T1^10*T2^9 + 144*T1^11*T2^9 - 
      49*T1^12*T2^9 + 33*T1^4*T2^10 - 216*T1^5*T2^10 + 390*T1^6*T2^10 + 
      794*T1^7*T2^10 - 1850*T1^8*T2^10 + 794*T1^9*T2^10 + 390*T1^10*T2^10 - 
      216*T1^11*T2^10 + 33*T1^12*T2^10 - 9*T1^5*T2^11 + 72*T1^6*T2^11 - 
      216*T1^7*T2^11 + 144*T1^8*T2^11 + 144*T1^9*T2^11 - 216*T1^10*T2^11 + 
      72*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 
      33*T1^8*T2^12 - 49*T1^9*T2^12 + 33*T1^10*T2^12 - 9*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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)*(1 - 3*T1 + T1^2 - 3*T2 + 
      6*T1*T2 + 6*T1^2*T2 - 3*T1^3*T2 + T2^2 + 6*T1*T2^2 - 24*T1^2*T2^2 + 
      6*T1^3*T2^2 + T1^4*T2^2 - 3*T1*T2^3 + 6*T1^2*T2^3 + 6*T1^3*T2^3 - 
      3*T1^4*T2^3 + T1^2*T2^4 - 3*T1^3*T2^4 + T1^4*T2^4))/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 557] -> 
  {-((3 - 12*T + 21*T^2 - 25*T^3 + 21*T^4 - 12*T^5 + 3*T^6)/T^3), 
   -((57 - 225*T1 + 387*T1^2 - 459*T1^3 + 387*T1^4 - 225*T1^5 + 57*T1^6 - 
      225*T2 + 666*T1*T2 - 647*T1^2*T2 + 288*T1^3*T2 + 288*T1^4*T2 - 
      647*T1^5*T2 + 666*T1^6*T2 - 225*T1^7*T2 + 387*T2^2 - 647*T1*T2^2 - 
      513*T1^2*T2^2 + 1538*T1^3*T2^2 - 2109*T1^4*T2^2 + 1538*T1^5*T2^2 - 
      513*T1^6*T2^2 - 647*T1^7*T2^2 + 387*T1^8*T2^2 - 459*T2^3 + 
      288*T1*T2^3 + 1538*T1^2*T2^3 - 1560*T1^3*T2^3 + 842*T1^4*T2^3 + 
      842*T1^5*T2^3 - 1560*T1^6*T2^3 + 1538*T1^7*T2^3 + 288*T1^8*T2^3 - 
      459*T1^9*T2^3 + 387*T2^4 + 288*T1*T2^4 - 2109*T1^2*T2^4 + 
      842*T1^3*T2^4 + 9*T1^4*T2^4 - 975*T1^5*T2^4 + 9*T1^6*T2^4 + 
      842*T1^7*T2^4 - 2109*T1^8*T2^4 + 288*T1^9*T2^4 + 387*T1^10*T2^4 - 
      225*T2^5 - 647*T1*T2^5 + 1538*T1^2*T2^5 + 842*T1^3*T2^5 - 
      975*T1^4*T2^5 + 870*T1^5*T2^5 + 870*T1^6*T2^5 - 975*T1^7*T2^5 + 
      842*T1^8*T2^5 + 1538*T1^9*T2^5 - 647*T1^10*T2^5 - 225*T1^11*T2^5 + 
      57*T2^6 + 666*T1*T2^6 - 513*T1^2*T2^6 - 1560*T1^3*T2^6 + 9*T1^4*T2^6 + 
      870*T1^5*T2^6 - 2112*T1^6*T2^6 + 870*T1^7*T2^6 + 9*T1^8*T2^6 - 
      1560*T1^9*T2^6 - 513*T1^10*T2^6 + 666*T1^11*T2^6 + 57*T1^12*T2^6 - 
      225*T1*T2^7 - 647*T1^2*T2^7 + 1538*T1^3*T2^7 + 842*T1^4*T2^7 - 
      975*T1^5*T2^7 + 870*T1^6*T2^7 + 870*T1^7*T2^7 - 975*T1^8*T2^7 + 
      842*T1^9*T2^7 + 1538*T1^10*T2^7 - 647*T1^11*T2^7 - 225*T1^12*T2^7 + 
      387*T1^2*T2^8 + 288*T1^3*T2^8 - 2109*T1^4*T2^8 + 842*T1^5*T2^8 + 
      9*T1^6*T2^8 - 975*T1^7*T2^8 + 9*T1^8*T2^8 + 842*T1^9*T2^8 - 
      2109*T1^10*T2^8 + 288*T1^11*T2^8 + 387*T1^12*T2^8 - 459*T1^3*T2^9 + 
      288*T1^4*T2^9 + 1538*T1^5*T2^9 - 1560*T1^6*T2^9 + 842*T1^7*T2^9 + 
      842*T1^8*T2^9 - 1560*T1^9*T2^9 + 1538*T1^10*T2^9 + 288*T1^11*T2^9 - 
      459*T1^12*T2^9 + 387*T1^4*T2^10 - 647*T1^5*T2^10 - 513*T1^6*T2^10 + 
      1538*T1^7*T2^10 - 2109*T1^8*T2^10 + 1538*T1^9*T2^10 - 513*T1^10*T2^10 - 
      647*T1^11*T2^10 + 387*T1^12*T2^10 - 225*T1^5*T2^11 + 666*T1^6*T2^11 - 
      647*T1^7*T2^11 + 288*T1^8*T2^11 + 288*T1^9*T2^11 - 647*T1^10*T2^11 + 
      666*T1^11*T2^11 - 225*T1^12*T2^11 + 57*T1^6*T2^12 - 225*T1^7*T2^12 + 
      387*T1^8*T2^12 - 459*T1^9*T2^12 + 387*T1^10*T2^12 - 225*T1^11*T2^12 + 
      57*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 558] -> 
  {(1 - 3*T + 8*T^2 - 11*T^3 + 8*T^4 - 3*T^5 + T^6)/T^3, 
   (1 - 3*T1 + 8*T1^2 - 11*T1^3 + 8*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 - 
     16*T1^2*T2 + 10*T1^3*T2 + 10*T1^4*T2 - 16*T1^5*T2 + 6*T1^6*T2 - 
     3*T1^7*T2 + 8*T2^2 - 16*T1*T2^2 + 44*T1^2*T2^2 - 23*T1^3*T2^2 - 
     4*T1^4*T2^2 - 23*T1^5*T2^2 + 44*T1^6*T2^2 - 16*T1^7*T2^2 + 8*T1^8*T2^2 - 
     11*T2^3 + 10*T1*T2^3 - 23*T1^2*T2^3 - 46*T1^3*T2^3 + 48*T1^4*T2^3 + 
     48*T1^5*T2^3 - 46*T1^6*T2^3 - 23*T1^7*T2^3 + 10*T1^8*T2^3 - 
     11*T1^9*T2^3 + 8*T2^4 + 10*T1*T2^4 - 4*T1^2*T2^4 + 48*T1^3*T2^4 + 
     69*T1^4*T2^4 - 195*T1^5*T2^4 + 69*T1^6*T2^4 + 48*T1^7*T2^4 - 
     4*T1^8*T2^4 + 10*T1^9*T2^4 + 8*T1^10*T2^4 - 3*T2^5 - 16*T1*T2^5 - 
     23*T1^2*T2^5 + 48*T1^3*T2^5 - 195*T1^4*T2^5 + 144*T1^5*T2^5 + 
     144*T1^6*T2^5 - 195*T1^7*T2^5 + 48*T1^8*T2^5 - 23*T1^9*T2^5 - 
     16*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 6*T1*T2^6 + 44*T1^2*T2^6 - 
     46*T1^3*T2^6 + 69*T1^4*T2^6 + 144*T1^5*T2^6 - 336*T1^6*T2^6 + 
     144*T1^7*T2^6 + 69*T1^8*T2^6 - 46*T1^9*T2^6 + 44*T1^10*T2^6 + 
     6*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 - 16*T1^2*T2^7 - 23*T1^3*T2^7 + 
     48*T1^4*T2^7 - 195*T1^5*T2^7 + 144*T1^6*T2^7 + 144*T1^7*T2^7 - 
     195*T1^8*T2^7 + 48*T1^9*T2^7 - 23*T1^10*T2^7 - 16*T1^11*T2^7 - 
     3*T1^12*T2^7 + 8*T1^2*T2^8 + 10*T1^3*T2^8 - 4*T1^4*T2^8 + 48*T1^5*T2^8 + 
     69*T1^6*T2^8 - 195*T1^7*T2^8 + 69*T1^8*T2^8 + 48*T1^9*T2^8 - 
     4*T1^10*T2^8 + 10*T1^11*T2^8 + 8*T1^12*T2^8 - 11*T1^3*T2^9 + 
     10*T1^4*T2^9 - 23*T1^5*T2^9 - 46*T1^6*T2^9 + 48*T1^7*T2^9 + 
     48*T1^8*T2^9 - 46*T1^9*T2^9 - 23*T1^10*T2^9 + 10*T1^11*T2^9 - 
     11*T1^12*T2^9 + 8*T1^4*T2^10 - 16*T1^5*T2^10 + 44*T1^6*T2^10 - 
     23*T1^7*T2^10 - 4*T1^8*T2^10 - 23*T1^9*T2^10 + 44*T1^10*T2^10 - 
     16*T1^11*T2^10 + 8*T1^12*T2^10 - 3*T1^5*T2^11 + 6*T1^6*T2^11 - 
     16*T1^7*T2^11 + 10*T1^8*T2^11 + 10*T1^9*T2^11 - 16*T1^10*T2^11 + 
     6*T1^11*T2^11 - 3*T1^12*T2^11 + T1^6*T2^12 - 3*T1^7*T2^12 + 
     8*T1^8*T2^12 - 11*T1^9*T2^12 + 8*T1^10*T2^12 - 3*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 559] -> 
  {-((2 - 7*T + 11*T^2 - 13*T^3 + 11*T^4 - 7*T^5 + 2*T^6)/T^3), 
   -((15 - 51*T1 + 79*T1^2 - 93*T1^3 + 79*T1^4 - 51*T1^5 + 15*T1^6 - 51*T2 + 
      122*T1*T2 - 96*T1^2*T2 + 48*T1^3*T2 + 48*T1^4*T2 - 96*T1^5*T2 + 
      122*T1^6*T2 - 51*T1^7*T2 + 79*T2^2 - 96*T1*T2^2 - 93*T1^2*T2^2 + 
      177*T1^3*T2^2 - 269*T1^4*T2^2 + 177*T1^5*T2^2 - 93*T1^6*T2^2 - 
      96*T1^7*T2^2 + 79*T1^8*T2^2 - 93*T2^3 + 48*T1*T2^3 + 177*T1^2*T2^3 - 
      104*T1^3*T2^3 + 100*T1^4*T2^3 + 100*T1^5*T2^3 - 104*T1^6*T2^3 + 
      177*T1^7*T2^3 + 48*T1^8*T2^3 - 93*T1^9*T2^3 + 79*T2^4 + 48*T1*T2^4 - 
      269*T1^2*T2^4 + 100*T1^3*T2^4 - 132*T1^4*T2^4 - 22*T1^5*T2^4 - 
      132*T1^6*T2^4 + 100*T1^7*T2^4 - 269*T1^8*T2^4 + 48*T1^9*T2^4 + 
      79*T1^10*T2^4 - 51*T2^5 - 96*T1*T2^5 + 177*T1^2*T2^5 + 100*T1^3*T2^5 - 
      22*T1^4*T2^5 + 112*T1^5*T2^5 + 112*T1^6*T2^5 - 22*T1^7*T2^5 + 
      100*T1^8*T2^5 + 177*T1^9*T2^5 - 96*T1^10*T2^5 - 51*T1^11*T2^5 + 
      15*T2^6 + 122*T1*T2^6 - 93*T1^2*T2^6 - 104*T1^3*T2^6 - 132*T1^4*T2^6 + 
      112*T1^5*T2^6 - 300*T1^6*T2^6 + 112*T1^7*T2^6 - 132*T1^8*T2^6 - 
      104*T1^9*T2^6 - 93*T1^10*T2^6 + 122*T1^11*T2^6 + 15*T1^12*T2^6 - 
      51*T1*T2^7 - 96*T1^2*T2^7 + 177*T1^3*T2^7 + 100*T1^4*T2^7 - 
      22*T1^5*T2^7 + 112*T1^6*T2^7 + 112*T1^7*T2^7 - 22*T1^8*T2^7 + 
      100*T1^9*T2^7 + 177*T1^10*T2^7 - 96*T1^11*T2^7 - 51*T1^12*T2^7 + 
      79*T1^2*T2^8 + 48*T1^3*T2^8 - 269*T1^4*T2^8 + 100*T1^5*T2^8 - 
      132*T1^6*T2^8 - 22*T1^7*T2^8 - 132*T1^8*T2^8 + 100*T1^9*T2^8 - 
      269*T1^10*T2^8 + 48*T1^11*T2^8 + 79*T1^12*T2^8 - 93*T1^3*T2^9 + 
      48*T1^4*T2^9 + 177*T1^5*T2^9 - 104*T1^6*T2^9 + 100*T1^7*T2^9 + 
      100*T1^8*T2^9 - 104*T1^9*T2^9 + 177*T1^10*T2^9 + 48*T1^11*T2^9 - 
      93*T1^12*T2^9 + 79*T1^4*T2^10 - 96*T1^5*T2^10 - 93*T1^6*T2^10 + 
      177*T1^7*T2^10 - 269*T1^8*T2^10 + 177*T1^9*T2^10 - 93*T1^10*T2^10 - 
      96*T1^11*T2^10 + 79*T1^12*T2^10 - 51*T1^5*T2^11 + 122*T1^6*T2^11 - 
      96*T1^7*T2^11 + 48*T1^8*T2^11 + 48*T1^9*T2^11 - 96*T1^10*T2^11 + 
      122*T1^11*T2^11 - 51*T1^12*T2^11 + 15*T1^6*T2^12 - 51*T1^7*T2^12 + 
      79*T1^8*T2^12 - 93*T1^9*T2^12 + 79*T1^10*T2^12 - 51*T1^11*T2^12 + 
      15*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 560] -> 
  {-((3 - 14*T + 30*T^2 - 39*T^3 + 30*T^4 - 14*T^5 + 3*T^6)/T^3), 
   (3 - 15*T1 + 34*T1^2 - 45*T1^3 + 34*T1^4 - 15*T1^5 + 3*T1^6 - 15*T2 + 
     56*T1*T2 - 85*T1^2*T2 + 50*T1^3*T2 + 50*T1^4*T2 - 85*T1^5*T2 + 
     56*T1^6*T2 - 15*T1^7*T2 + 34*T2^2 - 85*T1*T2^2 + 57*T1^2*T2^2 + 
     52*T1^3*T2^2 - 181*T1^4*T2^2 + 52*T1^5*T2^2 + 57*T1^6*T2^2 - 
     85*T1^7*T2^2 + 34*T1^8*T2^2 - 45*T2^3 + 50*T1*T2^3 + 52*T1^2*T2^3 - 
     98*T1^3*T2^3 + 151*T1^4*T2^3 + 151*T1^5*T2^3 - 98*T1^6*T2^3 + 
     52*T1^7*T2^3 + 50*T1^8*T2^3 - 45*T1^9*T2^3 + 34*T2^4 + 50*T1*T2^4 - 
     181*T1^2*T2^4 + 151*T1^3*T2^4 - 333*T1^4*T2^4 + 49*T1^5*T2^4 - 
     333*T1^6*T2^4 + 151*T1^7*T2^4 - 181*T1^8*T2^4 + 50*T1^9*T2^4 + 
     34*T1^10*T2^4 - 15*T2^5 - 85*T1*T2^5 + 52*T1^2*T2^5 + 151*T1^3*T2^5 + 
     49*T1^4*T2^5 + 264*T1^5*T2^5 + 264*T1^6*T2^5 + 49*T1^7*T2^5 + 
     151*T1^8*T2^5 + 52*T1^9*T2^5 - 85*T1^10*T2^5 - 15*T1^11*T2^5 + 3*T2^6 + 
     56*T1*T2^6 + 57*T1^2*T2^6 - 98*T1^3*T2^6 - 333*T1^4*T2^6 + 
     264*T1^5*T2^6 - 876*T1^6*T2^6 + 264*T1^7*T2^6 - 333*T1^8*T2^6 - 
     98*T1^9*T2^6 + 57*T1^10*T2^6 + 56*T1^11*T2^6 + 3*T1^12*T2^6 - 
     15*T1*T2^7 - 85*T1^2*T2^7 + 52*T1^3*T2^7 + 151*T1^4*T2^7 + 
     49*T1^5*T2^7 + 264*T1^6*T2^7 + 264*T1^7*T2^7 + 49*T1^8*T2^7 + 
     151*T1^9*T2^7 + 52*T1^10*T2^7 - 85*T1^11*T2^7 - 15*T1^12*T2^7 + 
     34*T1^2*T2^8 + 50*T1^3*T2^8 - 181*T1^4*T2^8 + 151*T1^5*T2^8 - 
     333*T1^6*T2^8 + 49*T1^7*T2^8 - 333*T1^8*T2^8 + 151*T1^9*T2^8 - 
     181*T1^10*T2^8 + 50*T1^11*T2^8 + 34*T1^12*T2^8 - 45*T1^3*T2^9 + 
     50*T1^4*T2^9 + 52*T1^5*T2^9 - 98*T1^6*T2^9 + 151*T1^7*T2^9 + 
     151*T1^8*T2^9 - 98*T1^9*T2^9 + 52*T1^10*T2^9 + 50*T1^11*T2^9 - 
     45*T1^12*T2^9 + 34*T1^4*T2^10 - 85*T1^5*T2^10 + 57*T1^6*T2^10 + 
     52*T1^7*T2^10 - 181*T1^8*T2^10 + 52*T1^9*T2^10 + 57*T1^10*T2^10 - 
     85*T1^11*T2^10 + 34*T1^12*T2^10 - 15*T1^5*T2^11 + 56*T1^6*T2^11 - 
     85*T1^7*T2^11 + 50*T1^8*T2^11 + 50*T1^9*T2^11 - 85*T1^10*T2^11 + 
     56*T1^11*T2^11 - 15*T1^12*T2^11 + 3*T1^6*T2^12 - 15*T1^7*T2^12 + 
     34*T1^8*T2^12 - 45*T1^9*T2^12 + 34*T1^10*T2^12 - 15*T1^11*T2^12 + 
     3*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 561] -> 
  {-((4 - 14*T + 19*T^2 - 14*T^3 + 4*T^4)/T^2), 
   -((64 - 216*T1 + 288*T1^2 - 216*T1^3 + 64*T1^4 - 216*T2 + 510*T1*T2 - 
      242*T1^2*T2 - 242*T1^3*T2 + 510*T1^4*T2 - 216*T1^5*T2 + 288*T2^2 - 
      242*T1*T2^2 - 889*T1^2*T2^2 + 1405*T1^3*T2^2 - 889*T1^4*T2^2 - 
      242*T1^5*T2^2 + 288*T1^6*T2^2 - 216*T2^3 - 242*T1*T2^3 + 
      1405*T1^2*T2^3 - 724*T1^3*T2^3 - 724*T1^4*T2^3 + 1405*T1^5*T2^3 - 
      242*T1^6*T2^3 - 216*T1^7*T2^3 + 64*T2^4 + 510*T1*T2^4 - 889*T1^2*T2^4 - 
      724*T1^3*T2^4 + 1572*T1^4*T2^4 - 724*T1^5*T2^4 - 889*T1^6*T2^4 + 
      510*T1^7*T2^4 + 64*T1^8*T2^4 - 216*T1*T2^5 - 242*T1^2*T2^5 + 
      1405*T1^3*T2^5 - 724*T1^4*T2^5 - 724*T1^5*T2^5 + 1405*T1^6*T2^5 - 
      242*T1^7*T2^5 - 216*T1^8*T2^5 + 288*T1^2*T2^6 - 242*T1^3*T2^6 - 
      889*T1^4*T2^6 + 1405*T1^5*T2^6 - 889*T1^6*T2^6 - 242*T1^7*T2^6 + 
      288*T1^8*T2^6 - 216*T1^3*T2^7 + 510*T1^4*T2^7 - 242*T1^5*T2^7 - 
      242*T1^6*T2^7 + 510*T1^7*T2^7 - 216*T1^8*T2^7 + 64*T1^4*T2^8 - 
      216*T1^5*T2^8 + 288*T1^6*T2^8 - 216*T1^7*T2^8 + 64*T1^8*T2^8)/
     (T1^4*T2^4))}, Knot[12, NonAlternating, 562] -> 
  {-((3 - 9*T + 11*T^2 - 9*T^3 + 3*T^4)/T^2), 
   (-2*(9 - 24*T1 + 28*T1^2 - 24*T1^3 + 9*T1^4 - 24*T2 + 39*T1*T2 - 
      11*T1^2*T2 - 11*T1^3*T2 + 39*T1^4*T2 - 24*T1^5*T2 + 28*T2^2 - 
      11*T1*T2^2 - 55*T1^2*T2^2 + 68*T1^3*T2^2 - 55*T1^4*T2^2 - 
      11*T1^5*T2^2 + 28*T1^6*T2^2 - 24*T2^3 - 11*T1*T2^3 + 68*T1^2*T2^3 - 
      37*T1^3*T2^3 - 37*T1^4*T2^3 + 68*T1^5*T2^3 - 11*T1^6*T2^3 - 
      24*T1^7*T2^3 + 9*T2^4 + 39*T1*T2^4 - 55*T1^2*T2^4 - 37*T1^3*T2^4 + 
      108*T1^4*T2^4 - 37*T1^5*T2^4 - 55*T1^6*T2^4 + 39*T1^7*T2^4 + 
      9*T1^8*T2^4 - 24*T1*T2^5 - 11*T1^2*T2^5 + 68*T1^3*T2^5 - 37*T1^4*T2^5 - 
      37*T1^5*T2^5 + 68*T1^6*T2^5 - 11*T1^7*T2^5 - 24*T1^8*T2^5 + 
      28*T1^2*T2^6 - 11*T1^3*T2^6 - 55*T1^4*T2^6 + 68*T1^5*T2^6 - 
      55*T1^6*T2^6 - 11*T1^7*T2^6 + 28*T1^8*T2^6 - 24*T1^3*T2^7 + 
      39*T1^4*T2^7 - 11*T1^5*T2^7 - 11*T1^6*T2^7 + 39*T1^7*T2^7 - 
      24*T1^8*T2^7 + 9*T1^4*T2^8 - 24*T1^5*T2^8 + 28*T1^6*T2^8 - 
      24*T1^7*T2^8 + 9*T1^8*T2^8))/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 563] -> 
  {-((5 - 18*T + 25*T^2 - 18*T^3 + 5*T^4)/T^2), 
   -((165 - 576*T1 + 785*T1^2 - 576*T1^3 + 165*T1^4 - 576*T2 + 1438*T1*T2 - 
      732*T1^2*T2 - 732*T1^3*T2 + 1438*T1^4*T2 - 576*T1^5*T2 + 785*T2^2 - 
      732*T1*T2^2 - 2548*T1^2*T2^2 + 4194*T1^3*T2^2 - 2548*T1^4*T2^2 - 
      732*T1^5*T2^2 + 785*T1^6*T2^2 - 576*T2^3 - 732*T1*T2^3 + 
      4194*T1^2*T2^3 - 2164*T1^3*T2^3 - 2164*T1^4*T2^3 + 4194*T1^5*T2^3 - 
      732*T1^6*T2^3 - 576*T1^7*T2^3 + 165*T2^4 + 1438*T1*T2^4 - 
      2548*T1^2*T2^4 - 2164*T1^3*T2^4 + 4476*T1^4*T2^4 - 2164*T1^5*T2^4 - 
      2548*T1^6*T2^4 + 1438*T1^7*T2^4 + 165*T1^8*T2^4 - 576*T1*T2^5 - 
      732*T1^2*T2^5 + 4194*T1^3*T2^5 - 2164*T1^4*T2^5 - 2164*T1^5*T2^5 + 
      4194*T1^6*T2^5 - 732*T1^7*T2^5 - 576*T1^8*T2^5 + 785*T1^2*T2^6 - 
      732*T1^3*T2^6 - 2548*T1^4*T2^6 + 4194*T1^5*T2^6 - 2548*T1^6*T2^6 - 
      732*T1^7*T2^6 + 785*T1^8*T2^6 - 576*T1^3*T2^7 + 1438*T1^4*T2^7 - 
      732*T1^5*T2^7 - 732*T1^6*T2^7 + 1438*T1^7*T2^7 - 576*T1^8*T2^7 + 
      165*T1^4*T2^8 - 576*T1^5*T2^8 + 785*T1^6*T2^8 - 576*T1^7*T2^8 + 
      165*T1^8*T2^8)/(T1^4*T2^4))}, Knot[12, NonAlternating, 564] -> 
  {-((2 - 10*T + 15*T^2 - 10*T^3 + 2*T^4)/T^2), 
   (11 - 57*T1 + 85*T1^2 - 57*T1^3 + 11*T1^4 - 57*T2 + 242*T1*T2 - 
     148*T1^2*T2 - 148*T1^3*T2 + 242*T1^4*T2 - 57*T1^5*T2 + 85*T2^2 - 
     148*T1*T2^2 - 759*T1^2*T2^2 + 1359*T1^3*T2^2 - 759*T1^4*T2^2 - 
     148*T1^5*T2^2 + 85*T1^6*T2^2 - 57*T2^3 - 148*T1*T2^3 + 1359*T1^2*T2^3 - 
     866*T1^3*T2^3 - 866*T1^4*T2^3 + 1359*T1^5*T2^3 - 148*T1^6*T2^3 - 
     57*T1^7*T2^3 + 11*T2^4 + 242*T1*T2^4 - 759*T1^2*T2^4 - 866*T1^3*T2^4 + 
     2028*T1^4*T2^4 - 866*T1^5*T2^4 - 759*T1^6*T2^4 + 242*T1^7*T2^4 + 
     11*T1^8*T2^4 - 57*T1*T2^5 - 148*T1^2*T2^5 + 1359*T1^3*T2^5 - 
     866*T1^4*T2^5 - 866*T1^5*T2^5 + 1359*T1^6*T2^5 - 148*T1^7*T2^5 - 
     57*T1^8*T2^5 + 85*T1^2*T2^6 - 148*T1^3*T2^6 - 759*T1^4*T2^6 + 
     1359*T1^5*T2^6 - 759*T1^6*T2^6 - 148*T1^7*T2^6 + 85*T1^8*T2^6 - 
     57*T1^3*T2^7 + 242*T1^4*T2^7 - 148*T1^5*T2^7 - 148*T1^6*T2^7 + 
     242*T1^7*T2^7 - 57*T1^8*T2^7 + 11*T1^4*T2^8 - 57*T1^5*T2^8 + 
     85*T1^6*T2^8 - 57*T1^7*T2^8 + 11*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 565] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2 - T^3 + T^4))/T^3), 
   (15 - 51*T1 + 65*T1^2 - 65*T1^3 + 65*T1^4 - 51*T1^5 + 15*T1^6 - 51*T2 + 
     122*T1*T2 - 48*T1^2*T2 - 48*T1^5*T2 + 122*T1^6*T2 - 51*T1^7*T2 + 
     65*T2^2 - 48*T1*T2^2 - 239*T1^2*T2^2 + 263*T1^3*T2^2 - 209*T1^4*T2^2 + 
     263*T1^5*T2^2 - 239*T1^6*T2^2 - 48*T1^7*T2^2 + 65*T1^8*T2^2 - 65*T2^3 + 
     263*T1^2*T2^3 - 58*T1^3*T2^3 - 34*T1^4*T2^3 - 34*T1^5*T2^3 - 
     58*T1^6*T2^3 + 263*T1^7*T2^3 - 65*T1^9*T2^3 + 65*T2^4 - 209*T1^2*T2^4 - 
     34*T1^3*T2^4 + 11*T1^4*T2^4 + 69*T1^5*T2^4 + 11*T1^6*T2^4 - 
     34*T1^7*T2^4 - 209*T1^8*T2^4 + 65*T1^10*T2^4 - 51*T2^5 - 48*T1*T2^5 + 
     263*T1^2*T2^5 - 34*T1^3*T2^5 + 69*T1^4*T2^5 - 58*T1^5*T2^5 - 
     58*T1^6*T2^5 + 69*T1^7*T2^5 - 34*T1^8*T2^5 + 263*T1^9*T2^5 - 
     48*T1^10*T2^5 - 51*T1^11*T2^5 + 15*T2^6 + 122*T1*T2^6 - 239*T1^2*T2^6 - 
     58*T1^3*T2^6 + 11*T1^4*T2^6 - 58*T1^5*T2^6 + 132*T1^6*T2^6 - 
     58*T1^7*T2^6 + 11*T1^8*T2^6 - 58*T1^9*T2^6 - 239*T1^10*T2^6 + 
     122*T1^11*T2^6 + 15*T1^12*T2^6 - 51*T1*T2^7 - 48*T1^2*T2^7 + 
     263*T1^3*T2^7 - 34*T1^4*T2^7 + 69*T1^5*T2^7 - 58*T1^6*T2^7 - 
     58*T1^7*T2^7 + 69*T1^8*T2^7 - 34*T1^9*T2^7 + 263*T1^10*T2^7 - 
     48*T1^11*T2^7 - 51*T1^12*T2^7 + 65*T1^2*T2^8 - 209*T1^4*T2^8 - 
     34*T1^5*T2^8 + 11*T1^6*T2^8 + 69*T1^7*T2^8 + 11*T1^8*T2^8 - 
     34*T1^9*T2^8 - 209*T1^10*T2^8 + 65*T1^12*T2^8 - 65*T1^3*T2^9 + 
     263*T1^5*T2^9 - 58*T1^6*T2^9 - 34*T1^7*T2^9 - 34*T1^8*T2^9 - 
     58*T1^9*T2^9 + 263*T1^10*T2^9 - 65*T1^12*T2^9 + 65*T1^4*T2^10 - 
     48*T1^5*T2^10 - 239*T1^6*T2^10 + 263*T1^7*T2^10 - 209*T1^8*T2^10 + 
     263*T1^9*T2^10 - 239*T1^10*T2^10 - 48*T1^11*T2^10 + 65*T1^12*T2^10 - 
     51*T1^5*T2^11 + 122*T1^6*T2^11 - 48*T1^7*T2^11 - 48*T1^10*T2^11 + 
     122*T1^11*T2^11 - 51*T1^12*T2^11 + 15*T1^6*T2^12 - 51*T1^7*T2^12 + 
     65*T1^8*T2^12 - 65*T1^9*T2^12 + 65*T1^10*T2^12 - 51*T1^11*T2^12 + 
     15*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 566] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 3*T + 2*T^2))/T^2), 
   (2*(32 - 120*T1 + 168*T1^2 - 120*T1^3 + 32*T1^4 - 120*T2 + 328*T1*T2 - 
      180*T1^2*T2 - 180*T1^3*T2 + 328*T1^4*T2 - 120*T1^5*T2 + 168*T2^2 - 
      180*T1*T2^2 - 599*T1^2*T2^2 + 1058*T1^3*T2^2 - 599*T1^4*T2^2 - 
      180*T1^5*T2^2 + 168*T1^6*T2^2 - 120*T2^3 - 180*T1*T2^3 + 
      1058*T1^2*T2^3 - 618*T1^3*T2^3 - 618*T1^4*T2^3 + 1058*T1^5*T2^3 - 
      180*T1^6*T2^3 - 120*T1^7*T2^3 + 32*T2^4 + 328*T1*T2^4 - 599*T1^2*T2^4 - 
      618*T1^3*T2^4 + 1386*T1^4*T2^4 - 618*T1^5*T2^4 - 599*T1^6*T2^4 + 
      328*T1^7*T2^4 + 32*T1^8*T2^4 - 120*T1*T2^5 - 180*T1^2*T2^5 + 
      1058*T1^3*T2^5 - 618*T1^4*T2^5 - 618*T1^5*T2^5 + 1058*T1^6*T2^5 - 
      180*T1^7*T2^5 - 120*T1^8*T2^5 + 168*T1^2*T2^6 - 180*T1^3*T2^6 - 
      599*T1^4*T2^6 + 1058*T1^5*T2^6 - 599*T1^6*T2^6 - 180*T1^7*T2^6 + 
      168*T1^8*T2^6 - 120*T1^3*T2^7 + 328*T1^4*T2^7 - 180*T1^5*T2^7 - 
      180*T1^6*T2^7 + 328*T1^7*T2^7 - 120*T1^8*T2^7 + 32*T1^4*T2^8 - 
      120*T1^5*T2^8 + 168*T1^6*T2^8 - 120*T1^7*T2^8 + 32*T1^8*T2^8))/
    (T1^4*T2^4)}, 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)*
     (3 - 12*T1 + 17*T1^2 - 12*T1^3 + 3*T1^4 - 12*T2 + 30*T1*T2 - 
      13*T1^2*T2 - 13*T1^3*T2 + 30*T1^4*T2 - 12*T1^5*T2 + 17*T2^2 - 
      13*T1*T2^2 - 45*T1^2*T2^2 + 47*T1^3*T2^2 - 45*T1^4*T2^2 - 
      13*T1^5*T2^2 + 17*T1^6*T2^2 - 12*T2^3 - 13*T1*T2^3 + 47*T1^2*T2^3 + 
      12*T1^3*T2^3 + 12*T1^4*T2^3 + 47*T1^5*T2^3 - 13*T1^6*T2^3 - 
      12*T1^7*T2^3 + 3*T2^4 + 30*T1*T2^4 - 45*T1^2*T2^4 + 12*T1^3*T2^4 - 
      84*T1^4*T2^4 + 12*T1^5*T2^4 - 45*T1^6*T2^4 + 30*T1^7*T2^4 + 
      3*T1^8*T2^4 - 12*T1*T2^5 - 13*T1^2*T2^5 + 47*T1^3*T2^5 + 12*T1^4*T2^5 + 
      12*T1^5*T2^5 + 47*T1^6*T2^5 - 13*T1^7*T2^5 - 12*T1^8*T2^5 + 
      17*T1^2*T2^6 - 13*T1^3*T2^6 - 45*T1^4*T2^6 + 47*T1^5*T2^6 - 
      45*T1^6*T2^6 - 13*T1^7*T2^6 + 17*T1^8*T2^6 - 12*T1^3*T2^7 + 
      30*T1^4*T2^7 - 13*T1^5*T2^7 - 13*T1^6*T2^7 + 30*T1^7*T2^7 - 
      12*T1^8*T2^7 + 3*T1^4*T2^8 - 12*T1^5*T2^8 + 17*T1^6*T2^8 - 
      12*T1^7*T2^8 + 3*T1^8*T2^8))/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 568] -> 
  {(3 - 12*T + 24*T^2 - 29*T^3 + 24*T^4 - 12*T^5 + 3*T^6)/T^3, 
   (24 - 93*T1 + 178*T1^2 - 210*T1^3 + 178*T1^4 - 93*T1^5 + 24*T1^6 - 93*T2 + 
     274*T1*T2 - 345*T1^2*T2 + 135*T1^3*T2 + 135*T1^4*T2 - 345*T1^5*T2 + 
     274*T1^6*T2 - 93*T1^7*T2 + 178*T2^2 - 345*T1*T2^2 + 72*T1^2*T2^2 + 
     598*T1^3*T2^2 - 806*T1^4*T2^2 + 598*T1^5*T2^2 + 72*T1^6*T2^2 - 
     345*T1^7*T2^2 + 178*T1^8*T2^2 - 210*T2^3 + 135*T1*T2^3 + 598*T1^2*T2^3 - 
     1216*T1^3*T2^3 + 478*T1^4*T2^3 + 478*T1^5*T2^3 - 1216*T1^6*T2^3 + 
     598*T1^7*T2^3 + 135*T1^8*T2^3 - 210*T1^9*T2^3 + 178*T2^4 + 135*T1*T2^4 - 
     806*T1^2*T2^4 + 478*T1^3*T2^4 + 1252*T1^4*T2^4 - 1816*T1^5*T2^4 + 
     1252*T1^6*T2^4 + 478*T1^7*T2^4 - 806*T1^8*T2^4 + 135*T1^9*T2^4 + 
     178*T1^10*T2^4 - 93*T2^5 - 345*T1*T2^5 + 598*T1^2*T2^5 + 478*T1^3*T2^5 - 
     1816*T1^4*T2^5 + 780*T1^5*T2^5 + 780*T1^6*T2^5 - 1816*T1^7*T2^5 + 
     478*T1^8*T2^5 + 598*T1^9*T2^5 - 345*T1^10*T2^5 - 93*T1^11*T2^5 + 
     24*T2^6 + 274*T1*T2^6 + 72*T1^2*T2^6 - 1216*T1^3*T2^6 + 1252*T1^4*T2^6 + 
     780*T1^5*T2^6 - 1536*T1^6*T2^6 + 780*T1^7*T2^6 + 1252*T1^8*T2^6 - 
     1216*T1^9*T2^6 + 72*T1^10*T2^6 + 274*T1^11*T2^6 + 24*T1^12*T2^6 - 
     93*T1*T2^7 - 345*T1^2*T2^7 + 598*T1^3*T2^7 + 478*T1^4*T2^7 - 
     1816*T1^5*T2^7 + 780*T1^6*T2^7 + 780*T1^7*T2^7 - 1816*T1^8*T2^7 + 
     478*T1^9*T2^7 + 598*T1^10*T2^7 - 345*T1^11*T2^7 - 93*T1^12*T2^7 + 
     178*T1^2*T2^8 + 135*T1^3*T2^8 - 806*T1^4*T2^8 + 478*T1^5*T2^8 + 
     1252*T1^6*T2^8 - 1816*T1^7*T2^8 + 1252*T1^8*T2^8 + 478*T1^9*T2^8 - 
     806*T1^10*T2^8 + 135*T1^11*T2^8 + 178*T1^12*T2^8 - 210*T1^3*T2^9 + 
     135*T1^4*T2^9 + 598*T1^5*T2^9 - 1216*T1^6*T2^9 + 478*T1^7*T2^9 + 
     478*T1^8*T2^9 - 1216*T1^9*T2^9 + 598*T1^10*T2^9 + 135*T1^11*T2^9 - 
     210*T1^12*T2^9 + 178*T1^4*T2^10 - 345*T1^5*T2^10 + 72*T1^6*T2^10 + 
     598*T1^7*T2^10 - 806*T1^8*T2^10 + 598*T1^9*T2^10 + 72*T1^10*T2^10 - 
     345*T1^11*T2^10 + 178*T1^12*T2^10 - 93*T1^5*T2^11 + 274*T1^6*T2^11 - 
     345*T1^7*T2^11 + 135*T1^8*T2^11 + 135*T1^9*T2^11 - 345*T1^10*T2^11 + 
     274*T1^11*T2^11 - 93*T1^12*T2^11 + 24*T1^6*T2^12 - 93*T1^7*T2^12 + 
     178*T1^8*T2^12 - 210*T1^9*T2^12 + 178*T1^10*T2^12 - 93*T1^11*T2^12 + 
     24*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 569] -> 
  {(3 - 10*T + 18*T^2 - 21*T^3 + 18*T^4 - 10*T^5 + 3*T^6)/T^3, 
   -((30 - 99*T1 + 174*T1^2 - 200*T1^3 + 174*T1^4 - 99*T1^5 + 30*T1^6 - 
      99*T2 + 228*T1*T2 - 249*T1^2*T2 + 87*T1^3*T2 + 87*T1^4*T2 - 
      249*T1^5*T2 + 228*T1^6*T2 - 99*T1^7*T2 + 174*T2^2 - 249*T1*T2^2 + 
      95*T1^2*T2^2 + 223*T1^3*T2^2 - 265*T1^4*T2^2 + 223*T1^5*T2^2 + 
      95*T1^6*T2^2 - 249*T1^7*T2^2 + 174*T1^8*T2^2 - 200*T2^3 + 87*T1*T2^3 + 
      223*T1^2*T2^3 - 472*T1^3*T2^3 + 124*T1^4*T2^3 + 124*T1^5*T2^3 - 
      472*T1^6*T2^3 + 223*T1^7*T2^3 + 87*T1^8*T2^3 - 200*T1^9*T2^3 + 
      174*T2^4 + 87*T1*T2^4 - 265*T1^2*T2^4 + 124*T1^3*T2^4 + 587*T1^4*T2^4 - 
      663*T1^5*T2^4 + 587*T1^6*T2^4 + 124*T1^7*T2^4 - 265*T1^8*T2^4 + 
      87*T1^9*T2^4 + 174*T1^10*T2^4 - 99*T2^5 - 249*T1*T2^5 + 223*T1^2*T2^5 + 
      124*T1^3*T2^5 - 663*T1^4*T2^5 + 188*T1^5*T2^5 + 188*T1^6*T2^5 - 
      663*T1^7*T2^5 + 124*T1^8*T2^5 + 223*T1^9*T2^5 - 249*T1^10*T2^5 - 
      99*T1^11*T2^5 + 30*T2^6 + 228*T1*T2^6 + 95*T1^2*T2^6 - 472*T1^3*T2^6 + 
      587*T1^4*T2^6 + 188*T1^5*T2^6 - 288*T1^6*T2^6 + 188*T1^7*T2^6 + 
      587*T1^8*T2^6 - 472*T1^9*T2^6 + 95*T1^10*T2^6 + 228*T1^11*T2^6 + 
      30*T1^12*T2^6 - 99*T1*T2^7 - 249*T1^2*T2^7 + 223*T1^3*T2^7 + 
      124*T1^4*T2^7 - 663*T1^5*T2^7 + 188*T1^6*T2^7 + 188*T1^7*T2^7 - 
      663*T1^8*T2^7 + 124*T1^9*T2^7 + 223*T1^10*T2^7 - 249*T1^11*T2^7 - 
      99*T1^12*T2^7 + 174*T1^2*T2^8 + 87*T1^3*T2^8 - 265*T1^4*T2^8 + 
      124*T1^5*T2^8 + 587*T1^6*T2^8 - 663*T1^7*T2^8 + 587*T1^8*T2^8 + 
      124*T1^9*T2^8 - 265*T1^10*T2^8 + 87*T1^11*T2^8 + 174*T1^12*T2^8 - 
      200*T1^3*T2^9 + 87*T1^4*T2^9 + 223*T1^5*T2^9 - 472*T1^6*T2^9 + 
      124*T1^7*T2^9 + 124*T1^8*T2^9 - 472*T1^9*T2^9 + 223*T1^10*T2^9 + 
      87*T1^11*T2^9 - 200*T1^12*T2^9 + 174*T1^4*T2^10 - 249*T1^5*T2^10 + 
      95*T1^6*T2^10 + 223*T1^7*T2^10 - 265*T1^8*T2^10 + 223*T1^9*T2^10 + 
      95*T1^10*T2^10 - 249*T1^11*T2^10 + 174*T1^12*T2^10 - 99*T1^5*T2^11 + 
      228*T1^6*T2^11 - 249*T1^7*T2^11 + 87*T1^8*T2^11 + 87*T1^9*T2^11 - 
      249*T1^10*T2^11 + 228*T1^11*T2^11 - 99*T1^12*T2^11 + 30*T1^6*T2^12 - 
      99*T1^7*T2^12 + 174*T1^8*T2^12 - 200*T1^9*T2^12 + 174*T1^10*T2^12 - 
      99*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6))}, 
 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 + 
       4*T1*T2 - 4*T1^2*T2 - 4*T1^5*T2 + 4*T1^6*T2 - 4*T1^7*T2 + 6*T2^2 - 
       4*T1*T2^2 + 13*T1^2*T2^2 - 10*T1^3*T2^2 + 13*T1^4*T2^2 - 
       10*T1^5*T2^2 + 13*T1^6*T2^2 - 4*T1^7*T2^2 + 6*T1^8*T2^2 - 6*T2^3 - 
       10*T1^2*T2^3 - 2*T1^3*T2^3 - 2*T1^4*T2^3 - 2*T1^5*T2^3 - 2*T1^6*T2^3 - 
       10*T1^7*T2^3 - 6*T1^9*T2^3 + 6*T2^4 + 13*T1^2*T2^4 - 2*T1^3*T2^4 + 
       13*T1^4*T2^4 - 9*T1^5*T2^4 + 13*T1^6*T2^4 - 2*T1^7*T2^4 + 
       13*T1^8*T2^4 + 6*T1^10*T2^4 - 4*T2^5 - 4*T1*T2^5 - 10*T1^2*T2^5 - 
       2*T1^3*T2^5 - 9*T1^4*T2^5 - 2*T1^5*T2^5 - 2*T1^6*T2^5 - 9*T1^7*T2^5 - 
       2*T1^8*T2^5 - 10*T1^9*T2^5 - 4*T1^10*T2^5 - 4*T1^11*T2^5 + 2*T2^6 + 
       4*T1*T2^6 + 13*T1^2*T2^6 - 2*T1^3*T2^6 + 13*T1^4*T2^6 - 2*T1^5*T2^6 + 
       12*T1^6*T2^6 - 2*T1^7*T2^6 + 13*T1^8*T2^6 - 2*T1^9*T2^6 + 
       13*T1^10*T2^6 + 4*T1^11*T2^6 + 2*T1^12*T2^6 - 4*T1*T2^7 - 
       4*T1^2*T2^7 - 10*T1^3*T2^7 - 2*T1^4*T2^7 - 9*T1^5*T2^7 - 2*T1^6*T2^7 - 
       2*T1^7*T2^7 - 9*T1^8*T2^7 - 2*T1^9*T2^7 - 10*T1^10*T2^7 - 
       4*T1^11*T2^7 - 4*T1^12*T2^7 + 6*T1^2*T2^8 + 13*T1^4*T2^8 - 
       2*T1^5*T2^8 + 13*T1^6*T2^8 - 9*T1^7*T2^8 + 13*T1^8*T2^8 - 
       2*T1^9*T2^8 + 13*T1^10*T2^8 + 6*T1^12*T2^8 - 6*T1^3*T2^9 - 
       10*T1^5*T2^9 - 2*T1^6*T2^9 - 2*T1^7*T2^9 - 2*T1^8*T2^9 - 2*T1^9*T2^9 - 
       10*T1^10*T2^9 - 6*T1^12*T2^9 + 6*T1^4*T2^10 - 4*T1^5*T2^10 + 
       13*T1^6*T2^10 - 10*T1^7*T2^10 + 13*T1^8*T2^10 - 10*T1^9*T2^10 + 
       13*T1^10*T2^10 - 4*T1^11*T2^10 + 6*T1^12*T2^10 - 4*T1^5*T2^11 + 
       4*T1^6*T2^11 - 4*T1^7*T2^11 - 4*T1^10*T2^11 + 4*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))/
     (T1^8*T2^8))}, 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)*
     (1 - 2*T1 + T1^2 - T1^3 + T1^4 - 2*T1^5 + T1^6 - 2*T2 + 2*T1*T2 + 
      2*T1^2*T2 + 2*T1^5*T2 + 2*T1^6*T2 - 2*T1^7*T2 + T2^2 + 2*T1*T2^2 - 
      7*T1^2*T2^2 + 3*T1^3*T2^2 - 3*T1^4*T2^2 + 3*T1^5*T2^2 - 7*T1^6*T2^2 + 
      2*T1^7*T2^2 + T1^8*T2^2 - T2^3 + 3*T1^2*T2^3 - T1^4*T2^3 - T1^5*T2^3 + 
      3*T1^7*T2^3 - T1^9*T2^3 + T2^4 - 3*T1^2*T2^4 - T1^3*T2^4 + 
      3*T1^4*T2^4 + T1^5*T2^4 + 3*T1^6*T2^4 - T1^7*T2^4 - 3*T1^8*T2^4 + 
      T1^10*T2^4 - 2*T2^5 + 2*T1*T2^5 + 3*T1^2*T2^5 - T1^3*T2^5 + T1^4*T2^5 - 
      6*T1^5*T2^5 - 6*T1^6*T2^5 + T1^7*T2^5 - T1^8*T2^5 + 3*T1^9*T2^5 + 
      2*T1^10*T2^5 - 2*T1^11*T2^5 + T2^6 + 2*T1*T2^6 - 7*T1^2*T2^6 + 
      3*T1^4*T2^6 - 6*T1^5*T2^6 + 24*T1^6*T2^6 - 6*T1^7*T2^6 + 3*T1^8*T2^6 - 
      7*T1^10*T2^6 + 2*T1^11*T2^6 + T1^12*T2^6 - 2*T1*T2^7 + 2*T1^2*T2^7 + 
      3*T1^3*T2^7 - T1^4*T2^7 + T1^5*T2^7 - 6*T1^6*T2^7 - 6*T1^7*T2^7 + 
      T1^8*T2^7 - T1^9*T2^7 + 3*T1^10*T2^7 + 2*T1^11*T2^7 - 2*T1^12*T2^7 + 
      T1^2*T2^8 - 3*T1^4*T2^8 - T1^5*T2^8 + 3*T1^6*T2^8 + T1^7*T2^8 + 
      3*T1^8*T2^8 - T1^9*T2^8 - 3*T1^10*T2^8 + T1^12*T2^8 - T1^3*T2^9 + 
      3*T1^5*T2^9 - T1^7*T2^9 - T1^8*T2^9 + 3*T1^10*T2^9 - T1^12*T2^9 + 
      T1^4*T2^10 + 2*T1^5*T2^10 - 7*T1^6*T2^10 + 3*T1^7*T2^10 - 
      3*T1^8*T2^10 + 3*T1^9*T2^10 - 7*T1^10*T2^10 + 2*T1^11*T2^10 + 
      T1^12*T2^10 - 2*T1^5*T2^11 + 2*T1^6*T2^11 + 2*T1^7*T2^11 + 
      2*T1^10*T2^11 + 2*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))/(T1^8*T2^8)}, Knot[12, NonAlternating, 572] -> 
  {((1 - T + T^2)^2*(2 - 3*T + 2*T^2))/T^3, 
   -((9 - 31*T1 + 62*T1^2 - 75*T1^3 + 62*T1^4 - 31*T1^5 + 9*T1^6 - 31*T2 + 
      76*T1*T2 - 107*T1^2*T2 + 45*T1^3*T2 + 45*T1^4*T2 - 107*T1^5*T2 + 
      76*T1^6*T2 - 31*T1^7*T2 + 62*T2^2 - 107*T1*T2^2 + 166*T1^2*T2^2 - 
      108*T1^3*T2^2 + 114*T1^4*T2^2 - 108*T1^5*T2^2 + 166*T1^6*T2^2 - 
      107*T1^7*T2^2 + 62*T1^8*T2^2 - 75*T2^3 + 45*T1*T2^3 - 108*T1^2*T2^3 - 
      12*T1^3*T2^3 - 43*T1^4*T2^3 - 43*T1^5*T2^3 - 12*T1^6*T2^3 - 
      108*T1^7*T2^3 + 45*T1^8*T2^3 - 75*T1^9*T2^3 + 62*T2^4 + 45*T1*T2^4 + 
      114*T1^2*T2^4 - 43*T1^3*T2^4 + 318*T1^4*T2^4 - 228*T1^5*T2^4 + 
      318*T1^6*T2^4 - 43*T1^7*T2^4 + 114*T1^8*T2^4 + 45*T1^9*T2^4 + 
      62*T1^10*T2^4 - 31*T2^5 - 107*T1*T2^5 - 108*T1^2*T2^5 - 43*T1^3*T2^5 - 
      228*T1^4*T2^5 - 50*T1^5*T2^5 - 50*T1^6*T2^5 - 228*T1^7*T2^5 - 
      43*T1^8*T2^5 - 108*T1^9*T2^5 - 107*T1^10*T2^5 - 31*T1^11*T2^5 + 
      9*T2^6 + 76*T1*T2^6 + 166*T1^2*T2^6 - 12*T1^3*T2^6 + 318*T1^4*T2^6 - 
      50*T1^5*T2^6 + 276*T1^6*T2^6 - 50*T1^7*T2^6 + 318*T1^8*T2^6 - 
      12*T1^9*T2^6 + 166*T1^10*T2^6 + 76*T1^11*T2^6 + 9*T1^12*T2^6 - 
      31*T1*T2^7 - 107*T1^2*T2^7 - 108*T1^3*T2^7 - 43*T1^4*T2^7 - 
      228*T1^5*T2^7 - 50*T1^6*T2^7 - 50*T1^7*T2^7 - 228*T1^8*T2^7 - 
      43*T1^9*T2^7 - 108*T1^10*T2^7 - 107*T1^11*T2^7 - 31*T1^12*T2^7 + 
      62*T1^2*T2^8 + 45*T1^3*T2^8 + 114*T1^4*T2^8 - 43*T1^5*T2^8 + 
      318*T1^6*T2^8 - 228*T1^7*T2^8 + 318*T1^8*T2^8 - 43*T1^9*T2^8 + 
      114*T1^10*T2^8 + 45*T1^11*T2^8 + 62*T1^12*T2^8 - 75*T1^3*T2^9 + 
      45*T1^4*T2^9 - 108*T1^5*T2^9 - 12*T1^6*T2^9 - 43*T1^7*T2^9 - 
      43*T1^8*T2^9 - 12*T1^9*T2^9 - 108*T1^10*T2^9 + 45*T1^11*T2^9 - 
      75*T1^12*T2^9 + 62*T1^4*T2^10 - 107*T1^5*T2^10 + 166*T1^6*T2^10 - 
      108*T1^7*T2^10 + 114*T1^8*T2^10 - 108*T1^9*T2^10 + 166*T1^10*T2^10 - 
      107*T1^11*T2^10 + 62*T1^12*T2^10 - 31*T1^5*T2^11 + 76*T1^6*T2^11 - 
      107*T1^7*T2^11 + 45*T1^8*T2^11 + 45*T1^9*T2^11 - 107*T1^10*T2^11 + 
      76*T1^11*T2^11 - 31*T1^12*T2^11 + 9*T1^6*T2^12 - 31*T1^7*T2^12 + 
      62*T1^8*T2^12 - 75*T1^9*T2^12 + 62*T1^10*T2^12 - 31*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 573] -> 
  {-(((1 - T + T^2)*(2 - 5*T + 5*T^2 - 5*T^3 + 2*T^4))/T^3), 
   (1 - 3*T1 + 4*T1^2 - 5*T1^3 + 4*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 - 
     3*T1^2*T2 + 3*T1^3*T2 + 3*T1^4*T2 - 3*T1^5*T2 + 6*T1^6*T2 - 3*T1^7*T2 + 
     4*T2^2 - 3*T1*T2^2 - 33*T1^2*T2^2 + 88*T1^3*T2^2 - 119*T1^4*T2^2 + 
     88*T1^5*T2^2 - 33*T1^6*T2^2 - 3*T1^7*T2^2 + 4*T1^8*T2^2 - 5*T2^3 + 
     3*T1*T2^3 + 88*T1^2*T2^3 - 180*T1^3*T2^3 + 78*T1^4*T2^3 + 78*T1^5*T2^3 - 
     180*T1^6*T2^3 + 88*T1^7*T2^3 + 3*T1^8*T2^3 - 5*T1^9*T2^3 + 4*T2^4 + 
     3*T1*T2^4 - 119*T1^2*T2^4 + 78*T1^3*T2^4 + 305*T1^4*T2^4 - 
     401*T1^5*T2^4 + 305*T1^6*T2^4 + 78*T1^7*T2^4 - 119*T1^8*T2^4 + 
     3*T1^9*T2^4 + 4*T1^10*T2^4 - 3*T2^5 - 3*T1*T2^5 + 88*T1^2*T2^5 + 
     78*T1^3*T2^5 - 401*T1^4*T2^5 + 102*T1^5*T2^5 + 102*T1^6*T2^5 - 
     401*T1^7*T2^5 + 78*T1^8*T2^5 + 88*T1^9*T2^5 - 3*T1^10*T2^5 - 
     3*T1^11*T2^5 + T2^6 + 6*T1*T2^6 - 33*T1^2*T2^6 - 180*T1^3*T2^6 + 
     305*T1^4*T2^6 + 102*T1^5*T2^6 - 60*T1^6*T2^6 + 102*T1^7*T2^6 + 
     305*T1^8*T2^6 - 180*T1^9*T2^6 - 33*T1^10*T2^6 + 6*T1^11*T2^6 + 
     T1^12*T2^6 - 3*T1*T2^7 - 3*T1^2*T2^7 + 88*T1^3*T2^7 + 78*T1^4*T2^7 - 
     401*T1^5*T2^7 + 102*T1^6*T2^7 + 102*T1^7*T2^7 - 401*T1^8*T2^7 + 
     78*T1^9*T2^7 + 88*T1^10*T2^7 - 3*T1^11*T2^7 - 3*T1^12*T2^7 + 
     4*T1^2*T2^8 + 3*T1^3*T2^8 - 119*T1^4*T2^8 + 78*T1^5*T2^8 + 
     305*T1^6*T2^8 - 401*T1^7*T2^8 + 305*T1^8*T2^8 + 78*T1^9*T2^8 - 
     119*T1^10*T2^8 + 3*T1^11*T2^8 + 4*T1^12*T2^8 - 5*T1^3*T2^9 + 
     3*T1^4*T2^9 + 88*T1^5*T2^9 - 180*T1^6*T2^9 + 78*T1^7*T2^9 + 
     78*T1^8*T2^9 - 180*T1^9*T2^9 + 88*T1^10*T2^9 + 3*T1^11*T2^9 - 
     5*T1^12*T2^9 + 4*T1^4*T2^10 - 3*T1^5*T2^10 - 33*T1^6*T2^10 + 
     88*T1^7*T2^10 - 119*T1^8*T2^10 + 88*T1^9*T2^10 - 33*T1^10*T2^10 - 
     3*T1^11*T2^10 + 4*T1^12*T2^10 - 3*T1^5*T2^11 + 6*T1^6*T2^11 - 
     3*T1^7*T2^11 + 3*T1^8*T2^11 + 3*T1^9*T2^11 - 3*T1^10*T2^11 + 
     6*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)/(T1^6*T2^6)}, 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)*
     (5 - 5*T1^2 + 5*T1^3 - 5*T1^4 + 5*T1^5 - 5*T1^6 + 5*T1^8 - 5*T2^2 - 
      5*T1^3*T2^2 + 10*T1^4*T2^2 - 10*T1^5*T2^2 + 10*T1^6*T2^2 - 
      5*T1^7*T2^2 - 5*T1^10*T2^2 + 5*T2^3 - 5*T1^2*T2^3 + 4*T1^3*T2^3 - 
      3*T1^4*T2^3 + 2*T1^5*T2^3 + 2*T1^6*T2^3 - 3*T1^7*T2^3 + 4*T1^8*T2^3 - 
      5*T1^9*T2^3 + 5*T1^11*T2^3 - 5*T2^4 + 10*T1^2*T2^4 - 3*T1^3*T2^4 - 
      4*T1^4*T2^4 + 2*T1^6*T2^4 - 4*T1^8*T2^4 - 3*T1^9*T2^4 + 10*T1^10*T2^4 - 
      5*T1^12*T2^4 + 5*T2^5 - 10*T1^2*T2^5 + 2*T1^3*T2^5 + 6*T1^5*T2^5 - 
      3*T1^6*T2^5 - 3*T1^7*T2^5 + 6*T1^8*T2^5 + 2*T1^10*T2^5 - 
      10*T1^11*T2^5 + 5*T1^13*T2^5 - 5*T2^6 + 10*T1^2*T2^6 + 2*T1^3*T2^6 + 
      2*T1^4*T2^6 - 3*T1^5*T2^6 - 3*T1^6*T2^6 + 3*T1^7*T2^6 - 3*T1^8*T2^6 - 
      3*T1^9*T2^6 + 2*T1^10*T2^6 + 2*T1^11*T2^6 + 10*T1^12*T2^6 - 
      5*T1^14*T2^6 - 5*T1^2*T2^7 - 3*T1^3*T2^7 - 3*T1^5*T2^7 + 3*T1^6*T2^7 + 
      3*T1^9*T2^7 - 3*T1^10*T2^7 - 3*T1^12*T2^7 - 5*T1^13*T2^7 + 5*T2^8 + 
      4*T1^3*T2^8 - 4*T1^4*T2^8 + 6*T1^5*T2^8 - 3*T1^6*T2^8 - 3*T1^10*T2^8 + 
      6*T1^11*T2^8 - 4*T1^12*T2^8 + 4*T1^13*T2^8 + 5*T1^16*T2^8 - 
      5*T1^3*T2^9 - 3*T1^4*T2^9 - 3*T1^6*T2^9 + 3*T1^7*T2^9 + 3*T1^10*T2^9 - 
      3*T1^11*T2^9 - 3*T1^13*T2^9 - 5*T1^14*T2^9 - 5*T1^2*T2^10 + 
      10*T1^4*T2^10 + 2*T1^5*T2^10 + 2*T1^6*T2^10 - 3*T1^7*T2^10 - 
      3*T1^8*T2^10 + 3*T1^9*T2^10 - 3*T1^10*T2^10 - 3*T1^11*T2^10 + 
      2*T1^12*T2^10 + 2*T1^13*T2^10 + 10*T1^14*T2^10 - 5*T1^16*T2^10 + 
      5*T1^3*T2^11 - 10*T1^5*T2^11 + 2*T1^6*T2^11 + 6*T1^8*T2^11 - 
      3*T1^9*T2^11 - 3*T1^10*T2^11 + 6*T1^11*T2^11 + 2*T1^13*T2^11 - 
      10*T1^14*T2^11 + 5*T1^16*T2^11 - 5*T1^4*T2^12 + 10*T1^6*T2^12 - 
      3*T1^7*T2^12 - 4*T1^8*T2^12 + 2*T1^10*T2^12 - 4*T1^12*T2^12 - 
      3*T1^13*T2^12 + 10*T1^14*T2^12 - 5*T1^16*T2^12 + 5*T1^5*T2^13 - 
      5*T1^7*T2^13 + 4*T1^8*T2^13 - 3*T1^9*T2^13 + 2*T1^10*T2^13 + 
      2*T1^11*T2^13 - 3*T1^12*T2^13 + 4*T1^13*T2^13 - 5*T1^14*T2^13 + 
      5*T1^16*T2^13 - 5*T1^6*T2^14 - 5*T1^9*T2^14 + 10*T1^10*T2^14 - 
      10*T1^11*T2^14 + 10*T1^12*T2^14 - 5*T1^13*T2^14 - 5*T1^16*T2^14 + 
      5*T1^8*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 + 5*T1^16*T2^16))/(T1^10*T2^10)}, 
 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, 
   (33 - 49*T1 + 16*T1^2 + 66*T1^3 - 115*T1^4 + 66*T1^5 + 16*T1^6 - 49*T1^7 + 
     33*T1^8 - 49*T2 + 24*T1*T2 + 49*T1^2*T2 - 122*T1^3*T2 + 73*T1^4*T2 + 
     73*T1^5*T2 - 122*T1^6*T2 + 49*T1^7*T2 + 24*T1^8*T2 - 49*T1^9*T2 + 
     16*T2^2 + 49*T1*T2^2 - 85*T1^2*T2^2 + 44*T1^3*T2^2 + 98*T1^4*T2^2 - 
     191*T1^5*T2^2 + 98*T1^6*T2^2 + 44*T1^7*T2^2 - 85*T1^8*T2^2 + 
     49*T1^9*T2^2 + 16*T1^10*T2^2 + 66*T2^3 - 122*T1*T2^3 + 44*T1^2*T2^3 + 
     174*T1^3*T2^3 - 308*T1^4*T2^3 + 160*T1^5*T2^3 + 160*T1^6*T2^3 - 
     308*T1^7*T2^3 + 174*T1^8*T2^3 + 44*T1^9*T2^3 - 122*T1^10*T2^3 + 
     66*T1^11*T2^3 - 115*T2^4 + 73*T1*T2^4 + 98*T1^2*T2^4 - 308*T1^3*T2^4 + 
     186*T1^4*T2^4 + 187*T1^5*T2^4 - 402*T1^6*T2^4 + 187*T1^7*T2^4 + 
     186*T1^8*T2^4 - 308*T1^9*T2^4 + 98*T1^10*T2^4 + 73*T1^11*T2^4 - 
     115*T1^12*T2^4 + 66*T2^5 + 73*T1*T2^5 - 191*T1^2*T2^5 + 160*T1^3*T2^5 + 
     187*T1^4*T2^5 - 432*T1^5*T2^5 + 237*T1^6*T2^5 + 237*T1^7*T2^5 - 
     432*T1^8*T2^5 + 187*T1^9*T2^5 + 160*T1^10*T2^5 - 191*T1^11*T2^5 + 
     73*T1^12*T2^5 + 66*T1^13*T2^5 + 16*T2^6 - 122*T1*T2^6 + 98*T1^2*T2^6 + 
     160*T1^3*T2^6 - 402*T1^4*T2^6 + 237*T1^5*T2^6 + 285*T1^6*T2^6 - 
     595*T1^7*T2^6 + 285*T1^8*T2^6 + 237*T1^9*T2^6 - 402*T1^10*T2^6 + 
     160*T1^11*T2^6 + 98*T1^12*T2^6 - 122*T1^13*T2^6 + 16*T1^14*T2^6 - 
     49*T2^7 + 49*T1*T2^7 + 44*T1^2*T2^7 - 308*T1^3*T2^7 + 187*T1^4*T2^7 + 
     237*T1^5*T2^7 - 595*T1^6*T2^7 + 338*T1^7*T2^7 + 338*T1^8*T2^7 - 
     595*T1^9*T2^7 + 237*T1^10*T2^7 + 187*T1^11*T2^7 - 308*T1^12*T2^7 + 
     44*T1^13*T2^7 + 49*T1^14*T2^7 - 49*T1^15*T2^7 + 33*T2^8 + 24*T1*T2^8 - 
     85*T1^2*T2^8 + 174*T1^3*T2^8 + 186*T1^4*T2^8 - 432*T1^5*T2^8 + 
     285*T1^6*T2^8 + 338*T1^7*T2^8 - 732*T1^8*T2^8 + 338*T1^9*T2^8 + 
     285*T1^10*T2^8 - 432*T1^11*T2^8 + 186*T1^12*T2^8 + 174*T1^13*T2^8 - 
     85*T1^14*T2^8 + 24*T1^15*T2^8 + 33*T1^16*T2^8 - 49*T1*T2^9 + 
     49*T1^2*T2^9 + 44*T1^3*T2^9 - 308*T1^4*T2^9 + 187*T1^5*T2^9 + 
     237*T1^6*T2^9 - 595*T1^7*T2^9 + 338*T1^8*T2^9 + 338*T1^9*T2^9 - 
     595*T1^10*T2^9 + 237*T1^11*T2^9 + 187*T1^12*T2^9 - 308*T1^13*T2^9 + 
     44*T1^14*T2^9 + 49*T1^15*T2^9 - 49*T1^16*T2^9 + 16*T1^2*T2^10 - 
     122*T1^3*T2^10 + 98*T1^4*T2^10 + 160*T1^5*T2^10 - 402*T1^6*T2^10 + 
     237*T1^7*T2^10 + 285*T1^8*T2^10 - 595*T1^9*T2^10 + 285*T1^10*T2^10 + 
     237*T1^11*T2^10 - 402*T1^12*T2^10 + 160*T1^13*T2^10 + 98*T1^14*T2^10 - 
     122*T1^15*T2^10 + 16*T1^16*T2^10 + 66*T1^3*T2^11 + 73*T1^4*T2^11 - 
     191*T1^5*T2^11 + 160*T1^6*T2^11 + 187*T1^7*T2^11 - 432*T1^8*T2^11 + 
     237*T1^9*T2^11 + 237*T1^10*T2^11 - 432*T1^11*T2^11 + 187*T1^12*T2^11 + 
     160*T1^13*T2^11 - 191*T1^14*T2^11 + 73*T1^15*T2^11 + 66*T1^16*T2^11 - 
     115*T1^4*T2^12 + 73*T1^5*T2^12 + 98*T1^6*T2^12 - 308*T1^7*T2^12 + 
     186*T1^8*T2^12 + 187*T1^9*T2^12 - 402*T1^10*T2^12 + 187*T1^11*T2^12 + 
     186*T1^12*T2^12 - 308*T1^13*T2^12 + 98*T1^14*T2^12 + 73*T1^15*T2^12 - 
     115*T1^16*T2^12 + 66*T1^5*T2^13 - 122*T1^6*T2^13 + 44*T1^7*T2^13 + 
     174*T1^8*T2^13 - 308*T1^9*T2^13 + 160*T1^10*T2^13 + 160*T1^11*T2^13 - 
     308*T1^12*T2^13 + 174*T1^13*T2^13 + 44*T1^14*T2^13 - 122*T1^15*T2^13 + 
     66*T1^16*T2^13 + 16*T1^6*T2^14 + 49*T1^7*T2^14 - 85*T1^8*T2^14 + 
     44*T1^9*T2^14 + 98*T1^10*T2^14 - 191*T1^11*T2^14 + 98*T1^12*T2^14 + 
     44*T1^13*T2^14 - 85*T1^14*T2^14 + 49*T1^15*T2^14 + 16*T1^16*T2^14 - 
     49*T1^7*T2^15 + 24*T1^8*T2^15 + 49*T1^9*T2^15 - 122*T1^10*T2^15 + 
     73*T1^11*T2^15 + 73*T1^12*T2^15 - 122*T1^13*T2^15 + 49*T1^14*T2^15 + 
     24*T1^15*T2^15 - 49*T1^16*T2^15 + 33*T1^8*T2^16 - 49*T1^9*T2^16 + 
     16*T1^10*T2^16 + 66*T1^11*T2^16 - 115*T1^12*T2^16 + 66*T1^13*T2^16 + 
     16*T1^14*T2^16 - 49*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 
   (33 - 65*T1 + 80*T1^2 - 62*T1^3 + 45*T1^4 - 62*T1^5 + 80*T1^6 - 65*T1^7 + 
     33*T1^8 - 65*T2 + 64*T1*T2 - 31*T1^2*T2 - 34*T1^3*T2 + 33*T1^4*T2 + 
     33*T1^5*T2 - 34*T1^6*T2 - 31*T1^7*T2 + 64*T1^8*T2 - 65*T1^9*T2 + 
     80*T2^2 - 31*T1*T2^2 + 12*T1^2*T2^2 + 19*T1^3*T2^2 + 46*T1^4*T2^2 - 
     112*T1^5*T2^2 + 46*T1^6*T2^2 + 19*T1^7*T2^2 + 12*T1^8*T2^2 - 
     31*T1^9*T2^2 + 80*T1^10*T2^2 - 62*T2^3 - 34*T1*T2^3 + 19*T1^2*T2^3 - 
     32*T1^3*T2^3 - 41*T1^4*T2^3 + 47*T1^5*T2^3 + 47*T1^6*T2^3 - 
     41*T1^7*T2^3 - 32*T1^8*T2^3 + 19*T1^9*T2^3 - 34*T1^10*T2^3 - 
     62*T1^11*T2^3 + 45*T2^4 + 33*T1*T2^4 + 46*T1^2*T2^4 - 41*T1^3*T2^4 + 
     88*T1^4*T2^4 - 41*T1^5*T2^4 - 22*T1^6*T2^4 - 41*T1^7*T2^4 + 
     88*T1^8*T2^4 - 41*T1^9*T2^4 + 46*T1^10*T2^4 + 33*T1^11*T2^4 + 
     45*T1^12*T2^4 - 62*T2^5 + 33*T1*T2^5 - 112*T1^2*T2^5 + 47*T1^3*T2^5 - 
     41*T1^4*T2^5 - 12*T1^5*T2^5 + 22*T1^6*T2^5 + 22*T1^7*T2^5 - 
     12*T1^8*T2^5 - 41*T1^9*T2^5 + 47*T1^10*T2^5 - 112*T1^11*T2^5 + 
     33*T1^12*T2^5 - 62*T1^13*T2^5 + 80*T2^6 - 34*T1*T2^6 + 46*T1^2*T2^6 + 
     47*T1^3*T2^6 - 22*T1^4*T2^6 + 22*T1^5*T2^6 - 23*T1^6*T2^6 + 
     35*T1^7*T2^6 - 23*T1^8*T2^6 + 22*T1^9*T2^6 - 22*T1^10*T2^6 + 
     47*T1^11*T2^6 + 46*T1^12*T2^6 - 34*T1^13*T2^6 + 80*T1^14*T2^6 - 
     65*T2^7 - 31*T1*T2^7 + 19*T1^2*T2^7 - 41*T1^3*T2^7 - 41*T1^4*T2^7 + 
     22*T1^5*T2^7 + 35*T1^6*T2^7 - 44*T1^7*T2^7 - 44*T1^8*T2^7 + 
     35*T1^9*T2^7 + 22*T1^10*T2^7 - 41*T1^11*T2^7 - 41*T1^12*T2^7 + 
     19*T1^13*T2^7 - 31*T1^14*T2^7 - 65*T1^15*T2^7 + 33*T2^8 + 64*T1*T2^8 + 
     12*T1^2*T2^8 - 32*T1^3*T2^8 + 88*T1^4*T2^8 - 12*T1^5*T2^8 - 
     23*T1^6*T2^8 - 44*T1^7*T2^8 + 132*T1^8*T2^8 - 44*T1^9*T2^8 - 
     23*T1^10*T2^8 - 12*T1^11*T2^8 + 88*T1^12*T2^8 - 32*T1^13*T2^8 + 
     12*T1^14*T2^8 + 64*T1^15*T2^8 + 33*T1^16*T2^8 - 65*T1*T2^9 - 
     31*T1^2*T2^9 + 19*T1^3*T2^9 - 41*T1^4*T2^9 - 41*T1^5*T2^9 + 
     22*T1^6*T2^9 + 35*T1^7*T2^9 - 44*T1^8*T2^9 - 44*T1^9*T2^9 + 
     35*T1^10*T2^9 + 22*T1^11*T2^9 - 41*T1^12*T2^9 - 41*T1^13*T2^9 + 
     19*T1^14*T2^9 - 31*T1^15*T2^9 - 65*T1^16*T2^9 + 80*T1^2*T2^10 - 
     34*T1^3*T2^10 + 46*T1^4*T2^10 + 47*T1^5*T2^10 - 22*T1^6*T2^10 + 
     22*T1^7*T2^10 - 23*T1^8*T2^10 + 35*T1^9*T2^10 - 23*T1^10*T2^10 + 
     22*T1^11*T2^10 - 22*T1^12*T2^10 + 47*T1^13*T2^10 + 46*T1^14*T2^10 - 
     34*T1^15*T2^10 + 80*T1^16*T2^10 - 62*T1^3*T2^11 + 33*T1^4*T2^11 - 
     112*T1^5*T2^11 + 47*T1^6*T2^11 - 41*T1^7*T2^11 - 12*T1^8*T2^11 + 
     22*T1^9*T2^11 + 22*T1^10*T2^11 - 12*T1^11*T2^11 - 41*T1^12*T2^11 + 
     47*T1^13*T2^11 - 112*T1^14*T2^11 + 33*T1^15*T2^11 - 62*T1^16*T2^11 + 
     45*T1^4*T2^12 + 33*T1^5*T2^12 + 46*T1^6*T2^12 - 41*T1^7*T2^12 + 
     88*T1^8*T2^12 - 41*T1^9*T2^12 - 22*T1^10*T2^12 - 41*T1^11*T2^12 + 
     88*T1^12*T2^12 - 41*T1^13*T2^12 + 46*T1^14*T2^12 + 33*T1^15*T2^12 + 
     45*T1^16*T2^12 - 62*T1^5*T2^13 - 34*T1^6*T2^13 + 19*T1^7*T2^13 - 
     32*T1^8*T2^13 - 41*T1^9*T2^13 + 47*T1^10*T2^13 + 47*T1^11*T2^13 - 
     41*T1^12*T2^13 - 32*T1^13*T2^13 + 19*T1^14*T2^13 - 34*T1^15*T2^13 - 
     62*T1^16*T2^13 + 80*T1^6*T2^14 - 31*T1^7*T2^14 + 12*T1^8*T2^14 + 
     19*T1^9*T2^14 + 46*T1^10*T2^14 - 112*T1^11*T2^14 + 46*T1^12*T2^14 + 
     19*T1^13*T2^14 + 12*T1^14*T2^14 - 31*T1^15*T2^14 + 80*T1^16*T2^14 - 
     65*T1^7*T2^15 + 64*T1^8*T2^15 - 31*T1^9*T2^15 - 34*T1^10*T2^15 + 
     33*T1^11*T2^15 + 33*T1^12*T2^15 - 34*T1^13*T2^15 - 31*T1^14*T2^15 + 
     64*T1^15*T2^15 - 65*T1^16*T2^15 + 33*T1^8*T2^16 - 65*T1^9*T2^16 + 
     80*T1^10*T2^16 - 62*T1^11*T2^16 + 45*T1^12*T2^16 - 62*T1^13*T2^16 + 
     80*T1^14*T2^16 - 65*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 577] -> {(1 - T + T^2)^3/T^3, 
   (1 - 3*T1 + 6*T1^2 - 7*T1^3 + 6*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 - 
     9*T1^2*T2 + 3*T1^3*T2 + 3*T1^4*T2 - 9*T1^5*T2 + 6*T1^6*T2 - 3*T1^7*T2 + 
     6*T2^2 - 9*T1*T2^2 + 26*T1^2*T2^2 - 30*T1^3*T2^2 + 42*T1^4*T2^2 - 
     30*T1^5*T2^2 + 26*T1^6*T2^2 - 9*T1^7*T2^2 + 6*T1^8*T2^2 - 7*T2^3 + 
     3*T1*T2^3 - 30*T1^2*T2^3 + 16*T1^3*T2^3 - 23*T1^4*T2^3 - 23*T1^5*T2^3 + 
     16*T1^6*T2^3 - 30*T1^7*T2^3 + 3*T1^8*T2^3 - 7*T1^9*T2^3 + 6*T2^4 + 
     3*T1*T2^4 + 42*T1^2*T2^4 - 23*T1^3*T2^4 + 68*T1^4*T2^4 - 24*T1^5*T2^4 + 
     68*T1^6*T2^4 - 23*T1^7*T2^4 + 42*T1^8*T2^4 + 3*T1^9*T2^4 + 
     6*T1^10*T2^4 - 3*T2^5 - 9*T1*T2^5 - 30*T1^2*T2^5 - 23*T1^3*T2^5 - 
     24*T1^4*T2^5 - 38*T1^5*T2^5 - 38*T1^6*T2^5 - 24*T1^7*T2^5 - 
     23*T1^8*T2^5 - 30*T1^9*T2^5 - 9*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 
     6*T1*T2^6 + 26*T1^2*T2^6 + 16*T1^3*T2^6 + 68*T1^4*T2^6 - 38*T1^5*T2^6 + 
     132*T1^6*T2^6 - 38*T1^7*T2^6 + 68*T1^8*T2^6 + 16*T1^9*T2^6 + 
     26*T1^10*T2^6 + 6*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 - 9*T1^2*T2^7 - 
     30*T1^3*T2^7 - 23*T1^4*T2^7 - 24*T1^5*T2^7 - 38*T1^6*T2^7 - 
     38*T1^7*T2^7 - 24*T1^8*T2^7 - 23*T1^9*T2^7 - 30*T1^10*T2^7 - 
     9*T1^11*T2^7 - 3*T1^12*T2^7 + 6*T1^2*T2^8 + 3*T1^3*T2^8 + 42*T1^4*T2^8 - 
     23*T1^5*T2^8 + 68*T1^6*T2^8 - 24*T1^7*T2^8 + 68*T1^8*T2^8 - 
     23*T1^9*T2^8 + 42*T1^10*T2^8 + 3*T1^11*T2^8 + 6*T1^12*T2^8 - 
     7*T1^3*T2^9 + 3*T1^4*T2^9 - 30*T1^5*T2^9 + 16*T1^6*T2^9 - 23*T1^7*T2^9 - 
     23*T1^8*T2^9 + 16*T1^9*T2^9 - 30*T1^10*T2^9 + 3*T1^11*T2^9 - 
     7*T1^12*T2^9 + 6*T1^4*T2^10 - 9*T1^5*T2^10 + 26*T1^6*T2^10 - 
     30*T1^7*T2^10 + 42*T1^8*T2^10 - 30*T1^9*T2^10 + 26*T1^10*T2^10 - 
     9*T1^11*T2^10 + 6*T1^12*T2^10 - 3*T1^5*T2^11 + 6*T1^6*T2^11 - 
     9*T1^7*T2^11 + 3*T1^8*T2^11 + 3*T1^9*T2^11 - 9*T1^10*T2^11 + 
     6*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)/(T1^6*T2^6)}, Knot[12, NonAlternating, 578] -> 
  {-(((1 - T + T^2)*(3 - 8*T + 9*T^2 - 8*T^3 + 3*T^4))/T^3), 
   -((3 - 9*T1 + 16*T1^2 - 21*T1^3 + 16*T1^4 - 9*T1^5 + 3*T1^6 - 9*T2 + 
      18*T1*T2 - 21*T1^2*T2 + 15*T1^3*T2 + 15*T1^4*T2 - 21*T1^5*T2 + 
      18*T1^6*T2 - 9*T1^7*T2 + 16*T2^2 - 21*T1*T2^2 + 43*T1^2*T2^2 - 
      96*T1^3*T2^2 + 89*T1^4*T2^2 - 96*T1^5*T2^2 + 43*T1^6*T2^2 - 
      21*T1^7*T2^2 + 16*T1^8*T2^2 - 21*T2^3 + 15*T1*T2^3 - 96*T1^2*T2^3 + 
      212*T1^3*T2^3 - 62*T1^4*T2^3 - 62*T1^5*T2^3 + 212*T1^6*T2^3 - 
      96*T1^7*T2^3 + 15*T1^8*T2^3 - 21*T1^9*T2^3 + 16*T2^4 + 15*T1*T2^4 + 
      89*T1^2*T2^4 - 62*T1^3*T2^4 - 427*T1^4*T2^4 + 503*T1^5*T2^4 - 
      427*T1^6*T2^4 - 62*T1^7*T2^4 + 89*T1^8*T2^4 + 15*T1^9*T2^4 + 
      16*T1^10*T2^4 - 9*T2^5 - 21*T1*T2^5 - 96*T1^2*T2^5 - 62*T1^3*T2^5 + 
      503*T1^4*T2^5 - 118*T1^5*T2^5 - 118*T1^6*T2^5 + 503*T1^7*T2^5 - 
      62*T1^8*T2^5 - 96*T1^9*T2^5 - 21*T1^10*T2^5 - 9*T1^11*T2^5 + 3*T2^6 + 
      18*T1*T2^6 + 43*T1^2*T2^6 + 212*T1^3*T2^6 - 427*T1^4*T2^6 - 
      118*T1^5*T2^6 + 72*T1^6*T2^6 - 118*T1^7*T2^6 - 427*T1^8*T2^6 + 
      212*T1^9*T2^6 + 43*T1^10*T2^6 + 18*T1^11*T2^6 + 3*T1^12*T2^6 - 
      9*T1*T2^7 - 21*T1^2*T2^7 - 96*T1^3*T2^7 - 62*T1^4*T2^7 + 
      503*T1^5*T2^7 - 118*T1^6*T2^7 - 118*T1^7*T2^7 + 503*T1^8*T2^7 - 
      62*T1^9*T2^7 - 96*T1^10*T2^7 - 21*T1^11*T2^7 - 9*T1^12*T2^7 + 
      16*T1^2*T2^8 + 15*T1^3*T2^8 + 89*T1^4*T2^8 - 62*T1^5*T2^8 - 
      427*T1^6*T2^8 + 503*T1^7*T2^8 - 427*T1^8*T2^8 - 62*T1^9*T2^8 + 
      89*T1^10*T2^8 + 15*T1^11*T2^8 + 16*T1^12*T2^8 - 21*T1^3*T2^9 + 
      15*T1^4*T2^9 - 96*T1^5*T2^9 + 212*T1^6*T2^9 - 62*T1^7*T2^9 - 
      62*T1^8*T2^9 + 212*T1^9*T2^9 - 96*T1^10*T2^9 + 15*T1^11*T2^9 - 
      21*T1^12*T2^9 + 16*T1^4*T2^10 - 21*T1^5*T2^10 + 43*T1^6*T2^10 - 
      96*T1^7*T2^10 + 89*T1^8*T2^10 - 96*T1^9*T2^10 + 43*T1^10*T2^10 - 
      21*T1^11*T2^10 + 16*T1^12*T2^10 - 9*T1^5*T2^11 + 18*T1^6*T2^11 - 
      21*T1^7*T2^11 + 15*T1^8*T2^11 + 15*T1^9*T2^11 - 21*T1^10*T2^11 + 
      18*T1^11*T2^11 - 9*T1^12*T2^11 + 3*T1^6*T2^12 - 9*T1^7*T2^12 + 
      16*T1^8*T2^12 - 21*T1^9*T2^12 + 16*T1^10*T2^12 - 9*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 579] -> 
  {(1 - 2*T - 3*T^2 + 9*T^3 - 3*T^4 - 2*T^5 + T^6)/T^3, 
   -((1 - 2*T1 - 3*T1^2 + 9*T1^3 - 3*T1^4 - 2*T1^5 + T1^6 - 2*T2 + 
      18*T1^2*T2 - 19*T1^3*T2 - 19*T1^4*T2 + 18*T1^5*T2 - 2*T1^7*T2 - 
      3*T2^2 + 18*T1*T2^2 - 28*T1^2*T2^2 - 28*T1^3*T2^2 + 96*T1^4*T2^2 - 
      28*T1^5*T2^2 - 28*T1^6*T2^2 + 18*T1^7*T2^2 - 3*T1^8*T2^2 + 9*T2^3 - 
      19*T1*T2^3 - 28*T1^2*T2^3 + 124*T1^3*T2^3 - 92*T1^4*T2^3 - 
      92*T1^5*T2^3 + 124*T1^6*T2^3 - 28*T1^7*T2^3 - 19*T1^8*T2^3 + 
      9*T1^9*T2^3 - 3*T2^4 - 19*T1*T2^4 + 96*T1^2*T2^4 - 92*T1^3*T2^4 - 
      136*T1^4*T2^4 + 312*T1^5*T2^4 - 136*T1^6*T2^4 - 92*T1^7*T2^4 + 
      96*T1^8*T2^4 - 19*T1^9*T2^4 - 3*T1^10*T2^4 - 2*T2^5 + 18*T1*T2^5 - 
      28*T1^2*T2^5 - 92*T1^3*T2^5 + 312*T1^4*T2^5 - 220*T1^5*T2^5 - 
      220*T1^6*T2^5 + 312*T1^7*T2^5 - 92*T1^8*T2^5 - 28*T1^9*T2^5 + 
      18*T1^10*T2^5 - 2*T1^11*T2^5 + T2^6 - 28*T1^2*T2^6 + 124*T1^3*T2^6 - 
      136*T1^4*T2^6 - 220*T1^5*T2^6 + 564*T1^6*T2^6 - 220*T1^7*T2^6 - 
      136*T1^8*T2^6 + 124*T1^9*T2^6 - 28*T1^10*T2^6 + T1^12*T2^6 - 
      2*T1*T2^7 + 18*T1^2*T2^7 - 28*T1^3*T2^7 - 92*T1^4*T2^7 + 
      312*T1^5*T2^7 - 220*T1^6*T2^7 - 220*T1^7*T2^7 + 312*T1^8*T2^7 - 
      92*T1^9*T2^7 - 28*T1^10*T2^7 + 18*T1^11*T2^7 - 2*T1^12*T2^7 - 
      3*T1^2*T2^8 - 19*T1^3*T2^8 + 96*T1^4*T2^8 - 92*T1^5*T2^8 - 
      136*T1^6*T2^8 + 312*T1^7*T2^8 - 136*T1^8*T2^8 - 92*T1^9*T2^8 + 
      96*T1^10*T2^8 - 19*T1^11*T2^8 - 3*T1^12*T2^8 + 9*T1^3*T2^9 - 
      19*T1^4*T2^9 - 28*T1^5*T2^9 + 124*T1^6*T2^9 - 92*T1^7*T2^9 - 
      92*T1^8*T2^9 + 124*T1^9*T2^9 - 28*T1^10*T2^9 - 19*T1^11*T2^9 + 
      9*T1^12*T2^9 - 3*T1^4*T2^10 + 18*T1^5*T2^10 - 28*T1^6*T2^10 - 
      28*T1^7*T2^10 + 96*T1^8*T2^10 - 28*T1^9*T2^10 - 28*T1^10*T2^10 + 
      18*T1^11*T2^10 - 3*T1^12*T2^10 - 2*T1^5*T2^11 + 18*T1^7*T2^11 - 
      19*T1^8*T2^11 - 19*T1^9*T2^11 + 18*T1^10*T2^11 - 2*T1^12*T2^11 + 
      T1^6*T2^12 - 2*T1^7*T2^12 - 3*T1^8*T2^12 + 9*T1^9*T2^12 - 
      3*T1^10*T2^12 - 2*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 580] -> {(5 - 16*T + 23*T^2 - 16*T^3 + 5*T^4)/T^2, 
   -((40 - 127*T1 + 186*T1^2 - 127*T1^3 + 40*T1^4 - 127*T2 + 268*T1*T2 - 
      182*T1^2*T2 - 182*T1^3*T2 + 268*T1^4*T2 - 127*T1^5*T2 + 186*T2^2 - 
      182*T1*T2^2 - 93*T1^2*T2^2 + 459*T1^3*T2^2 - 93*T1^4*T2^2 - 
      182*T1^5*T2^2 + 186*T1^6*T2^2 - 127*T2^3 - 182*T1*T2^3 + 
      459*T1^2*T2^3 - 434*T1^3*T2^3 - 434*T1^4*T2^3 + 459*T1^5*T2^3 - 
      182*T1^6*T2^3 - 127*T1^7*T2^3 + 40*T2^4 + 268*T1*T2^4 - 93*T1^2*T2^4 - 
      434*T1^3*T2^4 + 1152*T1^4*T2^4 - 434*T1^5*T2^4 - 93*T1^6*T2^4 + 
      268*T1^7*T2^4 + 40*T1^8*T2^4 - 127*T1*T2^5 - 182*T1^2*T2^5 + 
      459*T1^3*T2^5 - 434*T1^4*T2^5 - 434*T1^5*T2^5 + 459*T1^6*T2^5 - 
      182*T1^7*T2^5 - 127*T1^8*T2^5 + 186*T1^2*T2^6 - 182*T1^3*T2^6 - 
      93*T1^4*T2^6 + 459*T1^5*T2^6 - 93*T1^6*T2^6 - 182*T1^7*T2^6 + 
      186*T1^8*T2^6 - 127*T1^3*T2^7 + 268*T1^4*T2^7 - 182*T1^5*T2^7 - 
      182*T1^6*T2^7 + 268*T1^7*T2^7 - 127*T1^8*T2^7 + 40*T1^4*T2^8 - 
      127*T1^5*T2^8 + 186*T1^6*T2^8 - 127*T1^7*T2^8 + 40*T1^8*T2^8)/
     (T1^4*T2^4))}, Knot[12, NonAlternating, 581] -> 
  {((1 - T + T^2)*(3 - 2*T - T^2 - 2*T^3 + 3*T^4))/T^3, 
   (90 - 148*T1 + 116*T1^2 - 84*T1^3 + 116*T1^4 - 148*T1^5 + 90*T1^6 - 
     148*T2 + 96*T1*T2 + 52*T1^2*T2 - 52*T1^3*T2 - 52*T1^4*T2 + 52*T1^5*T2 + 
     96*T1^6*T2 - 148*T1^7*T2 + 116*T2^2 + 52*T1*T2^2 - 153*T1^2*T2^2 + 
     44*T1^3*T2^2 + 41*T1^4*T2^2 + 44*T1^5*T2^2 - 153*T1^6*T2^2 + 
     52*T1^7*T2^2 + 116*T1^8*T2^2 - 84*T2^3 - 52*T1*T2^3 + 44*T1^2*T2^3 + 
     42*T1^3*T2^3 - 35*T1^4*T2^3 - 35*T1^5*T2^3 + 42*T1^6*T2^3 + 
     44*T1^7*T2^3 - 52*T1^8*T2^3 - 84*T1^9*T2^3 + 116*T2^4 - 52*T1*T2^4 + 
     41*T1^2*T2^4 - 35*T1^3*T2^4 + 55*T1^4*T2^4 - 71*T1^5*T2^4 + 
     55*T1^6*T2^4 - 35*T1^7*T2^4 + 41*T1^8*T2^4 - 52*T1^9*T2^4 + 
     116*T1^10*T2^4 - 148*T2^5 + 52*T1*T2^5 + 44*T1^2*T2^5 - 35*T1^3*T2^5 - 
     71*T1^4*T2^5 + 52*T1^5*T2^5 + 52*T1^6*T2^5 - 71*T1^7*T2^5 - 
     35*T1^8*T2^5 + 44*T1^9*T2^5 + 52*T1^10*T2^5 - 148*T1^11*T2^5 + 90*T2^6 + 
     96*T1*T2^6 - 153*T1^2*T2^6 + 42*T1^3*T2^6 + 55*T1^4*T2^6 + 
     52*T1^5*T2^6 - 132*T1^6*T2^6 + 52*T1^7*T2^6 + 55*T1^8*T2^6 + 
     42*T1^9*T2^6 - 153*T1^10*T2^6 + 96*T1^11*T2^6 + 90*T1^12*T2^6 - 
     148*T1*T2^7 + 52*T1^2*T2^7 + 44*T1^3*T2^7 - 35*T1^4*T2^7 - 
     71*T1^5*T2^7 + 52*T1^6*T2^7 + 52*T1^7*T2^7 - 71*T1^8*T2^7 - 
     35*T1^9*T2^7 + 44*T1^10*T2^7 + 52*T1^11*T2^7 - 148*T1^12*T2^7 + 
     116*T1^2*T2^8 - 52*T1^3*T2^8 + 41*T1^4*T2^8 - 35*T1^5*T2^8 + 
     55*T1^6*T2^8 - 71*T1^7*T2^8 + 55*T1^8*T2^8 - 35*T1^9*T2^8 + 
     41*T1^10*T2^8 - 52*T1^11*T2^8 + 116*T1^12*T2^8 - 84*T1^3*T2^9 - 
     52*T1^4*T2^9 + 44*T1^5*T2^9 + 42*T1^6*T2^9 - 35*T1^7*T2^9 - 
     35*T1^8*T2^9 + 42*T1^9*T2^9 + 44*T1^10*T2^9 - 52*T1^11*T2^9 - 
     84*T1^12*T2^9 + 116*T1^4*T2^10 + 52*T1^5*T2^10 - 153*T1^6*T2^10 + 
     44*T1^7*T2^10 + 41*T1^8*T2^10 + 44*T1^9*T2^10 - 153*T1^10*T2^10 + 
     52*T1^11*T2^10 + 116*T1^12*T2^10 - 148*T1^5*T2^11 + 96*T1^6*T2^11 + 
     52*T1^7*T2^11 - 52*T1^8*T2^11 - 52*T1^9*T2^11 + 52*T1^10*T2^11 + 
     96*T1^11*T2^11 - 148*T1^12*T2^11 + 90*T1^6*T2^12 - 148*T1^7*T2^12 + 
     116*T1^8*T2^12 - 84*T1^9*T2^12 + 116*T1^10*T2^12 - 148*T1^11*T2^12 + 
     90*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 582] -> 
  {(1 - T + T^2)^2/T^2, (6*(3 - 4*T1 + 3*T1^2 - 4*T2 + T1*T2 + T1^2*T2 - 
      4*T1^3*T2 + 3*T2^2 + T1*T2^2 + T1^3*T2^2 + 3*T1^4*T2^2 - 4*T1*T2^3 + 
      T1^2*T2^3 + T1^3*T2^3 - 4*T1^4*T2^3 + 3*T1^2*T2^4 - 4*T1^3*T2^4 + 
      3*T1^4*T2^4))/(T1^2*T2^2)}, Knot[12, NonAlternating, 583] -> 
  {-(((1 - T + T^2)*(5 - 11*T + 5*T^2))/T^2), 
   -((115 - 348*T1 + 445*T1^2 - 348*T1^3 + 115*T1^4 - 348*T2 + 712*T1*T2 - 
      303*T1^2*T2 - 303*T1^3*T2 + 712*T1^4*T2 - 348*T1^5*T2 + 445*T2^2 - 
      303*T1*T2^2 - 1077*T1^2*T2^2 + 1553*T1^3*T2^2 - 1077*T1^4*T2^2 - 
      303*T1^5*T2^2 + 445*T1^6*T2^2 - 348*T2^3 - 303*T1*T2^3 + 
      1553*T1^2*T2^3 - 648*T1^3*T2^3 - 648*T1^4*T2^3 + 1553*T1^5*T2^3 - 
      303*T1^6*T2^3 - 348*T1^7*T2^3 + 115*T2^4 + 712*T1*T2^4 - 
      1077*T1^2*T2^4 - 648*T1^3*T2^4 + 1212*T1^4*T2^4 - 648*T1^5*T2^4 - 
      1077*T1^6*T2^4 + 712*T1^7*T2^4 + 115*T1^8*T2^4 - 348*T1*T2^5 - 
      303*T1^2*T2^5 + 1553*T1^3*T2^5 - 648*T1^4*T2^5 - 648*T1^5*T2^5 + 
      1553*T1^6*T2^5 - 303*T1^7*T2^5 - 348*T1^8*T2^5 + 445*T1^2*T2^6 - 
      303*T1^3*T2^6 - 1077*T1^4*T2^6 + 1553*T1^5*T2^6 - 1077*T1^6*T2^6 - 
      303*T1^7*T2^6 + 445*T1^8*T2^6 - 348*T1^3*T2^7 + 712*T1^4*T2^7 - 
      303*T1^5*T2^7 - 303*T1^6*T2^7 + 712*T1^7*T2^7 - 348*T1^8*T2^7 + 
      115*T1^4*T2^8 - 348*T1^5*T2^8 + 445*T1^6*T2^8 - 348*T1^7*T2^8 + 
      115*T1^8*T2^8)/(T1^4*T2^4))}, Knot[12, NonAlternating, 584] -> 
  {(1 - 8*T + 22*T^2 - 29*T^3 + 22*T^4 - 8*T^5 + T^6)/T^3, 
   (1 - 8*T1 + 22*T1^2 - 29*T1^3 + 22*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
     56*T1*T2 - 111*T1^2*T2 + 55*T1^3*T2 + 55*T1^4*T2 - 111*T1^5*T2 + 
     56*T1^6*T2 - 8*T1^7*T2 + 22*T2^2 - 111*T1*T2^2 - 10*T1^2*T2^2 + 
     579*T1^3*T2^2 - 858*T1^4*T2^2 + 579*T1^5*T2^2 - 10*T1^6*T2^2 - 
     111*T1^7*T2^2 + 22*T1^8*T2^2 - 29*T2^3 + 55*T1*T2^3 + 579*T1^2*T2^3 - 
     1556*T1^3*T2^3 + 776*T1^4*T2^3 + 776*T1^5*T2^3 - 1556*T1^6*T2^3 + 
     579*T1^7*T2^3 + 55*T1^8*T2^3 - 29*T1^9*T2^3 + 22*T2^4 + 55*T1*T2^4 - 
     858*T1^2*T2^4 + 776*T1^3*T2^4 + 2299*T1^4*T2^4 - 3845*T1^5*T2^4 + 
     2299*T1^6*T2^4 + 776*T1^7*T2^4 - 858*T1^8*T2^4 + 55*T1^9*T2^4 + 
     22*T1^10*T2^4 - 8*T2^5 - 111*T1*T2^5 + 579*T1^2*T2^5 + 776*T1^3*T2^5 - 
     3845*T1^4*T2^5 + 2064*T1^5*T2^5 + 2064*T1^6*T2^5 - 3845*T1^7*T2^5 + 
     776*T1^8*T2^5 + 579*T1^9*T2^5 - 111*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
     56*T1*T2^6 - 10*T1^2*T2^6 - 1556*T1^3*T2^6 + 2299*T1^4*T2^6 + 
     2064*T1^5*T2^6 - 4488*T1^6*T2^6 + 2064*T1^7*T2^6 + 2299*T1^8*T2^6 - 
     1556*T1^9*T2^6 - 10*T1^10*T2^6 + 56*T1^11*T2^6 + T1^12*T2^6 - 
     8*T1*T2^7 - 111*T1^2*T2^7 + 579*T1^3*T2^7 + 776*T1^4*T2^7 - 
     3845*T1^5*T2^7 + 2064*T1^6*T2^7 + 2064*T1^7*T2^7 - 3845*T1^8*T2^7 + 
     776*T1^9*T2^7 + 579*T1^10*T2^7 - 111*T1^11*T2^7 - 8*T1^12*T2^7 + 
     22*T1^2*T2^8 + 55*T1^3*T2^8 - 858*T1^4*T2^8 + 776*T1^5*T2^8 + 
     2299*T1^6*T2^8 - 3845*T1^7*T2^8 + 2299*T1^8*T2^8 + 776*T1^9*T2^8 - 
     858*T1^10*T2^8 + 55*T1^11*T2^8 + 22*T1^12*T2^8 - 29*T1^3*T2^9 + 
     55*T1^4*T2^9 + 579*T1^5*T2^9 - 1556*T1^6*T2^9 + 776*T1^7*T2^9 + 
     776*T1^8*T2^9 - 1556*T1^9*T2^9 + 579*T1^10*T2^9 + 55*T1^11*T2^9 - 
     29*T1^12*T2^9 + 22*T1^4*T2^10 - 111*T1^5*T2^10 - 10*T1^6*T2^10 + 
     579*T1^7*T2^10 - 858*T1^8*T2^10 + 579*T1^9*T2^10 - 10*T1^10*T2^10 - 
     111*T1^11*T2^10 + 22*T1^12*T2^10 - 8*T1^5*T2^11 + 56*T1^6*T2^11 - 
     111*T1^7*T2^11 + 55*T1^8*T2^11 + 55*T1^9*T2^11 - 111*T1^10*T2^11 + 
     56*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
     22*T1^8*T2^12 - 29*T1^9*T2^12 + 22*T1^10*T2^12 - 8*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 585] -> 
  {(4 - 9*T + 10*T^2 - 9*T^3 + 10*T^4 - 9*T^5 + 4*T^6)/T^3, 
   (208 - 456*T1 + 492*T1^2 - 432*T1^3 + 492*T1^4 - 456*T1^5 + 208*T1^6 - 
     456*T2 + 554*T1*T2 - 94*T1^2*T2 - 124*T1^3*T2 - 124*T1^4*T2 - 
     94*T1^5*T2 + 554*T1^6*T2 - 456*T1^7*T2 + 492*T2^2 - 94*T1*T2^2 - 
     579*T1^2*T2^2 + 381*T1^3*T2^2 + 101*T1^4*T2^2 + 381*T1^5*T2^2 - 
     579*T1^6*T2^2 - 94*T1^7*T2^2 + 492*T1^8*T2^2 - 432*T2^3 - 124*T1*T2^3 + 
     381*T1^2*T2^3 + 142*T1^3*T2^3 - 327*T1^4*T2^3 - 327*T1^5*T2^3 + 
     142*T1^6*T2^3 + 381*T1^7*T2^3 - 124*T1^8*T2^3 - 432*T1^9*T2^3 + 
     492*T2^4 - 124*T1*T2^4 + 101*T1^2*T2^4 - 327*T1^3*T2^4 + 276*T1^4*T2^4 + 
     46*T1^5*T2^4 + 276*T1^6*T2^4 - 327*T1^7*T2^4 + 101*T1^8*T2^4 - 
     124*T1^9*T2^4 + 492*T1^10*T2^4 - 456*T2^5 - 94*T1*T2^5 + 381*T1^2*T2^5 - 
     327*T1^3*T2^5 + 46*T1^4*T2^5 - 60*T1^5*T2^5 - 60*T1^6*T2^5 + 
     46*T1^7*T2^5 - 327*T1^8*T2^5 + 381*T1^9*T2^5 - 94*T1^10*T2^5 - 
     456*T1^11*T2^5 + 208*T2^6 + 554*T1*T2^6 - 579*T1^2*T2^6 + 
     142*T1^3*T2^6 + 276*T1^4*T2^6 - 60*T1^5*T2^6 - 60*T1^7*T2^6 + 
     276*T1^8*T2^6 + 142*T1^9*T2^6 - 579*T1^10*T2^6 + 554*T1^11*T2^6 + 
     208*T1^12*T2^6 - 456*T1*T2^7 - 94*T1^2*T2^7 + 381*T1^3*T2^7 - 
     327*T1^4*T2^7 + 46*T1^5*T2^7 - 60*T1^6*T2^7 - 60*T1^7*T2^7 + 
     46*T1^8*T2^7 - 327*T1^9*T2^7 + 381*T1^10*T2^7 - 94*T1^11*T2^7 - 
     456*T1^12*T2^7 + 492*T1^2*T2^8 - 124*T1^3*T2^8 + 101*T1^4*T2^8 - 
     327*T1^5*T2^8 + 276*T1^6*T2^8 + 46*T1^7*T2^8 + 276*T1^8*T2^8 - 
     327*T1^9*T2^8 + 101*T1^10*T2^8 - 124*T1^11*T2^8 + 492*T1^12*T2^8 - 
     432*T1^3*T2^9 - 124*T1^4*T2^9 + 381*T1^5*T2^9 + 142*T1^6*T2^9 - 
     327*T1^7*T2^9 - 327*T1^8*T2^9 + 142*T1^9*T2^9 + 381*T1^10*T2^9 - 
     124*T1^11*T2^9 - 432*T1^12*T2^9 + 492*T1^4*T2^10 - 94*T1^5*T2^10 - 
     579*T1^6*T2^10 + 381*T1^7*T2^10 + 101*T1^8*T2^10 + 381*T1^9*T2^10 - 
     579*T1^10*T2^10 - 94*T1^11*T2^10 + 492*T1^12*T2^10 - 456*T1^5*T2^11 + 
     554*T1^6*T2^11 - 94*T1^7*T2^11 - 124*T1^8*T2^11 - 124*T1^9*T2^11 - 
     94*T1^10*T2^11 + 554*T1^11*T2^11 - 456*T1^12*T2^11 + 208*T1^6*T2^12 - 
     456*T1^7*T2^12 + 492*T1^8*T2^12 - 432*T1^9*T2^12 + 492*T1^10*T2^12 - 
     456*T1^11*T2^12 + 208*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 586] -> 
  {-((1 - 8*T + 24*T^2 - 35*T^3 + 24*T^4 - 8*T^5 + T^6)/T^3), 
   (T1 - T1^2 - T1^3 + T1^4 + T2 - 8*T1*T2 + 16*T1^3*T2 - 8*T1^5*T2 + 
     T1^6*T2 - T2^2 + 60*T1^2*T2^2 - 64*T1^3*T2^2 - 64*T1^4*T2^2 + 
     60*T1^5*T2^2 - T1^7*T2^2 - T2^3 + 16*T1*T2^3 - 64*T1^2*T2^3 - 
     136*T1^3*T2^3 + 382*T1^4*T2^3 - 136*T1^5*T2^3 - 64*T1^6*T2^3 + 
     16*T1^7*T2^3 - T1^8*T2^3 + T2^4 - 64*T1^2*T2^4 + 382*T1^3*T2^4 - 
     314*T1^4*T2^4 - 314*T1^5*T2^4 + 382*T1^6*T2^4 - 64*T1^7*T2^4 + 
     T1^9*T2^4 - 8*T1*T2^5 + 60*T1^2*T2^5 - 136*T1^3*T2^5 - 314*T1^4*T2^5 + 
     768*T1^5*T2^5 - 314*T1^6*T2^5 - 136*T1^7*T2^5 + 60*T1^8*T2^5 - 
     8*T1^9*T2^5 + T1*T2^6 - 64*T1^3*T2^6 + 382*T1^4*T2^6 - 314*T1^5*T2^6 - 
     314*T1^6*T2^6 + 382*T1^7*T2^6 - 64*T1^8*T2^6 + T1^10*T2^6 - T1^2*T2^7 + 
     16*T1^3*T2^7 - 64*T1^4*T2^7 - 136*T1^5*T2^7 + 382*T1^6*T2^7 - 
     136*T1^7*T2^7 - 64*T1^8*T2^7 + 16*T1^9*T2^7 - T1^10*T2^7 - T1^3*T2^8 + 
     60*T1^5*T2^8 - 64*T1^6*T2^8 - 64*T1^7*T2^8 + 60*T1^8*T2^8 - T1^10*T2^8 + 
     T1^4*T2^9 - 8*T1^5*T2^9 + 16*T1^7*T2^9 - 8*T1^9*T2^9 + T1^10*T2^9 + 
     T1^6*T2^10 - T1^7*T2^10 - T1^8*T2^10 + T1^9*T2^10)/(T1^5*T2^5)}, 
 Knot[12, NonAlternating, 587] -> 
  {-((1 - 10*T + 28*T^2 - 39*T^3 + 28*T^4 - 10*T^5 + T^6)/T^3), 
   (T1 - T1^2 - T1^3 + T1^4 + T2 + 17*T1*T2 - 72*T1^2*T2 + 109*T1^3*T2 - 
     72*T1^4*T2 + 17*T1^5*T2 + T1^6*T2 - T2^2 - 72*T1*T2^2 + 198*T1^2*T2^2 - 
     123*T1^3*T2^2 - 123*T1^4*T2^2 + 198*T1^5*T2^2 - 72*T1^6*T2^2 - 
     T1^7*T2^2 - T2^3 + 109*T1*T2^3 - 123*T1^2*T2^3 - 394*T1^3*T2^3 + 
     766*T1^4*T2^3 - 394*T1^5*T2^3 - 123*T1^6*T2^3 + 109*T1^7*T2^3 - 
     T1^8*T2^3 + T2^4 - 72*T1*T2^4 - 123*T1^2*T2^4 + 766*T1^3*T2^4 - 
     496*T1^4*T2^4 - 496*T1^5*T2^4 + 766*T1^6*T2^4 - 123*T1^7*T2^4 - 
     72*T1^8*T2^4 + T1^9*T2^4 + 17*T1*T2^5 + 198*T1^2*T2^5 - 394*T1^3*T2^5 - 
     496*T1^4*T2^5 + 1140*T1^5*T2^5 - 496*T1^6*T2^5 - 394*T1^7*T2^5 + 
     198*T1^8*T2^5 + 17*T1^9*T2^5 + T1*T2^6 - 72*T1^2*T2^6 - 123*T1^3*T2^6 + 
     766*T1^4*T2^6 - 496*T1^5*T2^6 - 496*T1^6*T2^6 + 766*T1^7*T2^6 - 
     123*T1^8*T2^6 - 72*T1^9*T2^6 + T1^10*T2^6 - T1^2*T2^7 + 109*T1^3*T2^7 - 
     123*T1^4*T2^7 - 394*T1^5*T2^7 + 766*T1^6*T2^7 - 394*T1^7*T2^7 - 
     123*T1^8*T2^7 + 109*T1^9*T2^7 - T1^10*T2^7 - T1^3*T2^8 - 72*T1^4*T2^8 + 
     198*T1^5*T2^8 - 123*T1^6*T2^8 - 123*T1^7*T2^8 + 198*T1^8*T2^8 - 
     72*T1^9*T2^8 - T1^10*T2^8 + T1^4*T2^9 + 17*T1^5*T2^9 - 72*T1^6*T2^9 + 
     109*T1^7*T2^9 - 72*T1^8*T2^9 + 17*T1^9*T2^9 + T1^10*T2^9 + T1^6*T2^10 - 
     T1^7*T2^10 - T1^8*T2^10 + T1^9*T2^10)/(T1^5*T2^5)}, 
 Knot[12, NonAlternating, 588] -> 
  {-((2 - 9*T + 19*T^2 - 25*T^3 + 19*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((1 - 3*T1 + 4*T1^2 - 5*T1^3 + 4*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 8*T1*T2 - 
      6*T1^2*T2 + 2*T1^3*T2 + 2*T1^4*T2 - 6*T1^5*T2 + 8*T1^6*T2 - 3*T1^7*T2 + 
      4*T2^2 - 6*T1*T2^2 - 30*T1^2*T2^2 + 83*T1^3*T2^2 - 86*T1^4*T2^2 + 
      83*T1^5*T2^2 - 30*T1^6*T2^2 - 6*T1^7*T2^2 + 4*T1^8*T2^2 - 5*T2^3 + 
      2*T1*T2^3 + 83*T1^2*T2^3 - 148*T1^3*T2^3 + 21*T1^4*T2^3 + 
      21*T1^5*T2^3 - 148*T1^6*T2^3 + 83*T1^7*T2^3 + 2*T1^8*T2^3 - 
      5*T1^9*T2^3 + 4*T2^4 + 2*T1*T2^4 - 86*T1^2*T2^4 + 21*T1^3*T2^4 + 
      304*T1^4*T2^4 - 242*T1^5*T2^4 + 304*T1^6*T2^4 + 21*T1^7*T2^4 - 
      86*T1^8*T2^4 + 2*T1^9*T2^4 + 4*T1^10*T2^4 - 3*T2^5 - 6*T1*T2^5 + 
      83*T1^2*T2^5 + 21*T1^3*T2^5 - 242*T1^4*T2^5 - 62*T1^5*T2^5 - 
      62*T1^6*T2^5 - 242*T1^7*T2^5 + 21*T1^8*T2^5 + 83*T1^9*T2^5 - 
      6*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 8*T1*T2^6 - 30*T1^2*T2^6 - 
      148*T1^3*T2^6 + 304*T1^4*T2^6 - 62*T1^5*T2^6 + 348*T1^6*T2^6 - 
      62*T1^7*T2^6 + 304*T1^8*T2^6 - 148*T1^9*T2^6 - 30*T1^10*T2^6 + 
      8*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 - 6*T1^2*T2^7 + 83*T1^3*T2^7 + 
      21*T1^4*T2^7 - 242*T1^5*T2^7 - 62*T1^6*T2^7 - 62*T1^7*T2^7 - 
      242*T1^8*T2^7 + 21*T1^9*T2^7 + 83*T1^10*T2^7 - 6*T1^11*T2^7 - 
      3*T1^12*T2^7 + 4*T1^2*T2^8 + 2*T1^3*T2^8 - 86*T1^4*T2^8 + 
      21*T1^5*T2^8 + 304*T1^6*T2^8 - 242*T1^7*T2^8 + 304*T1^8*T2^8 + 
      21*T1^9*T2^8 - 86*T1^10*T2^8 + 2*T1^11*T2^8 + 4*T1^12*T2^8 - 
      5*T1^3*T2^9 + 2*T1^4*T2^9 + 83*T1^5*T2^9 - 148*T1^6*T2^9 + 
      21*T1^7*T2^9 + 21*T1^8*T2^9 - 148*T1^9*T2^9 + 83*T1^10*T2^9 + 
      2*T1^11*T2^9 - 5*T1^12*T2^9 + 4*T1^4*T2^10 - 6*T1^5*T2^10 - 
      30*T1^6*T2^10 + 83*T1^7*T2^10 - 86*T1^8*T2^10 + 83*T1^9*T2^10 - 
      30*T1^10*T2^10 - 6*T1^11*T2^10 + 4*T1^12*T2^10 - 3*T1^5*T2^11 + 
      8*T1^6*T2^11 - 6*T1^7*T2^11 + 2*T1^8*T2^11 + 2*T1^9*T2^11 - 
      6*T1^10*T2^11 + 8*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)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 589] -> 
  {-((2 - 12*T + 26*T^2 - 33*T^3 + 26*T^4 - 12*T^5 + 2*T^6)/T^3), 
   -((17 - 100*T1 + 212*T1^2 - 267*T1^3 + 212*T1^4 - 100*T1^5 + 17*T1^6 - 
      100*T2 + 496*T1*T2 - 666*T1^2*T2 + 328*T1^3*T2 + 328*T1^4*T2 - 
      666*T1^5*T2 + 496*T1^6*T2 - 100*T1^7*T2 + 212*T2^2 - 666*T1*T2^2 - 
      710*T1^2*T2^2 + 3025*T1^3*T2^2 - 4320*T1^4*T2^2 + 3025*T1^5*T2^2 - 
      710*T1^6*T2^2 - 666*T1^7*T2^2 + 212*T1^8*T2^2 - 267*T2^3 + 
      328*T1*T2^3 + 3025*T1^2*T2^3 - 4758*T1^3*T2^3 + 2561*T1^4*T2^3 + 
      2561*T1^5*T2^3 - 4758*T1^6*T2^3 + 3025*T1^7*T2^3 + 328*T1^8*T2^3 - 
      267*T1^9*T2^3 + 212*T2^4 + 328*T1*T2^4 - 4320*T1^2*T2^4 + 
      2561*T1^3*T2^4 + 2421*T1^4*T2^4 - 5995*T1^5*T2^4 + 2421*T1^6*T2^4 + 
      2561*T1^7*T2^4 - 4320*T1^8*T2^4 + 328*T1^9*T2^4 + 212*T1^10*T2^4 - 
      100*T2^5 - 666*T1*T2^5 + 3025*T1^2*T2^5 + 2561*T1^3*T2^5 - 
      5995*T1^4*T2^5 + 3844*T1^5*T2^5 + 3844*T1^6*T2^5 - 5995*T1^7*T2^5 + 
      2561*T1^8*T2^5 + 3025*T1^9*T2^5 - 666*T1^10*T2^5 - 100*T1^11*T2^5 + 
      17*T2^6 + 496*T1*T2^6 - 710*T1^2*T2^6 - 4758*T1^3*T2^6 + 
      2421*T1^4*T2^6 + 3844*T1^5*T2^6 - 8688*T1^6*T2^6 + 3844*T1^7*T2^6 + 
      2421*T1^8*T2^6 - 4758*T1^9*T2^6 - 710*T1^10*T2^6 + 496*T1^11*T2^6 + 
      17*T1^12*T2^6 - 100*T1*T2^7 - 666*T1^2*T2^7 + 3025*T1^3*T2^7 + 
      2561*T1^4*T2^7 - 5995*T1^5*T2^7 + 3844*T1^6*T2^7 + 3844*T1^7*T2^7 - 
      5995*T1^8*T2^7 + 2561*T1^9*T2^7 + 3025*T1^10*T2^7 - 666*T1^11*T2^7 - 
      100*T1^12*T2^7 + 212*T1^2*T2^8 + 328*T1^3*T2^8 - 4320*T1^4*T2^8 + 
      2561*T1^5*T2^8 + 2421*T1^6*T2^8 - 5995*T1^7*T2^8 + 2421*T1^8*T2^8 + 
      2561*T1^9*T2^8 - 4320*T1^10*T2^8 + 328*T1^11*T2^8 + 212*T1^12*T2^8 - 
      267*T1^3*T2^9 + 328*T1^4*T2^9 + 3025*T1^5*T2^9 - 4758*T1^6*T2^9 + 
      2561*T1^7*T2^9 + 2561*T1^8*T2^9 - 4758*T1^9*T2^9 + 3025*T1^10*T2^9 + 
      328*T1^11*T2^9 - 267*T1^12*T2^9 + 212*T1^4*T2^10 - 666*T1^5*T2^10 - 
      710*T1^6*T2^10 + 3025*T1^7*T2^10 - 4320*T1^8*T2^10 + 3025*T1^9*T2^10 - 
      710*T1^10*T2^10 - 666*T1^11*T2^10 + 212*T1^12*T2^10 - 100*T1^5*T2^11 + 
      496*T1^6*T2^11 - 666*T1^7*T2^11 + 328*T1^8*T2^11 + 328*T1^9*T2^11 - 
      666*T1^10*T2^11 + 496*T1^11*T2^11 - 100*T1^12*T2^11 + 17*T1^6*T2^12 - 
      100*T1^7*T2^12 + 212*T1^8*T2^12 - 267*T1^9*T2^12 + 212*T1^10*T2^12 - 
      100*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 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), 
   -((3 - 12*T1 + 12*T1^2 - 6*T1^3 + 3*T1^4 - 6*T1^5 + 12*T1^6 - 12*T1^7 + 
      3*T1^8 - 12*T2 + 36*T1*T2 - 24*T1^3*T2 + 12*T1^4*T2 + 12*T1^5*T2 - 
      24*T1^6*T2 + 36*T1^8*T2 - 12*T1^9*T2 + 12*T2^2 - 128*T1^2*T2^2 + 
      114*T1^3*T2^2 - 31*T1^4*T2^2 - 4*T1^5*T2^2 - 31*T1^6*T2^2 + 
      114*T1^7*T2^2 - 128*T1^8*T2^2 + 12*T1^10*T2^2 - 6*T2^3 - 24*T1*T2^3 + 
      114*T1^2*T2^3 + 10*T1^3*T2^3 - 81*T1^4*T2^3 + 37*T1^5*T2^3 + 
      37*T1^6*T2^3 - 81*T1^7*T2^3 + 10*T1^8*T2^3 + 114*T1^9*T2^3 - 
      24*T1^10*T2^3 - 6*T1^11*T2^3 + 3*T2^4 + 12*T1*T2^4 - 31*T1^2*T2^4 - 
      81*T1^3*T2^4 + 69*T1^4*T2^4 - 7*T1^5*T2^4 - 15*T1^6*T2^4 - 
      7*T1^7*T2^4 + 69*T1^8*T2^4 - 81*T1^9*T2^4 - 31*T1^10*T2^4 + 
      12*T1^11*T2^4 + 3*T1^12*T2^4 - 6*T2^5 + 12*T1*T2^5 - 4*T1^2*T2^5 + 
      37*T1^3*T2^5 - 7*T1^4*T2^5 - 8*T1^5*T2^5 + 3*T1^6*T2^5 + 3*T1^7*T2^5 - 
      8*T1^8*T2^5 - 7*T1^9*T2^5 + 37*T1^10*T2^5 - 4*T1^11*T2^5 + 
      12*T1^12*T2^5 - 6*T1^13*T2^5 + 12*T2^6 - 24*T1*T2^6 - 31*T1^2*T2^6 + 
      37*T1^3*T2^6 - 15*T1^4*T2^6 + 3*T1^5*T2^6 - 9*T1^6*T2^6 + 
      11*T1^7*T2^6 - 9*T1^8*T2^6 + 3*T1^9*T2^6 - 15*T1^10*T2^6 + 
      37*T1^11*T2^6 - 31*T1^12*T2^6 - 24*T1^13*T2^6 + 12*T1^14*T2^6 - 
      12*T2^7 + 114*T1^2*T2^7 - 81*T1^3*T2^7 - 7*T1^4*T2^7 + 3*T1^5*T2^7 + 
      11*T1^6*T2^7 - 2*T1^7*T2^7 - 2*T1^8*T2^7 + 11*T1^9*T2^7 + 
      3*T1^10*T2^7 - 7*T1^11*T2^7 - 81*T1^12*T2^7 + 114*T1^13*T2^7 - 
      12*T1^15*T2^7 + 3*T2^8 + 36*T1*T2^8 - 128*T1^2*T2^8 + 10*T1^3*T2^8 + 
      69*T1^4*T2^8 - 8*T1^5*T2^8 - 9*T1^6*T2^8 - 2*T1^7*T2^8 - 2*T1^9*T2^8 - 
      9*T1^10*T2^8 - 8*T1^11*T2^8 + 69*T1^12*T2^8 + 10*T1^13*T2^8 - 
      128*T1^14*T2^8 + 36*T1^15*T2^8 + 3*T1^16*T2^8 - 12*T1*T2^9 + 
      114*T1^3*T2^9 - 81*T1^4*T2^9 - 7*T1^5*T2^9 + 3*T1^6*T2^9 + 
      11*T1^7*T2^9 - 2*T1^8*T2^9 - 2*T1^9*T2^9 + 11*T1^10*T2^9 + 
      3*T1^11*T2^9 - 7*T1^12*T2^9 - 81*T1^13*T2^9 + 114*T1^14*T2^9 - 
      12*T1^16*T2^9 + 12*T1^2*T2^10 - 24*T1^3*T2^10 - 31*T1^4*T2^10 + 
      37*T1^5*T2^10 - 15*T1^6*T2^10 + 3*T1^7*T2^10 - 9*T1^8*T2^10 + 
      11*T1^9*T2^10 - 9*T1^10*T2^10 + 3*T1^11*T2^10 - 15*T1^12*T2^10 + 
      37*T1^13*T2^10 - 31*T1^14*T2^10 - 24*T1^15*T2^10 + 12*T1^16*T2^10 - 
      6*T1^3*T2^11 + 12*T1^4*T2^11 - 4*T1^5*T2^11 + 37*T1^6*T2^11 - 
      7*T1^7*T2^11 - 8*T1^8*T2^11 + 3*T1^9*T2^11 + 3*T1^10*T2^11 - 
      8*T1^11*T2^11 - 7*T1^12*T2^11 + 37*T1^13*T2^11 - 4*T1^14*T2^11 + 
      12*T1^15*T2^11 - 6*T1^16*T2^11 + 3*T1^4*T2^12 + 12*T1^5*T2^12 - 
      31*T1^6*T2^12 - 81*T1^7*T2^12 + 69*T1^8*T2^12 - 7*T1^9*T2^12 - 
      15*T1^10*T2^12 - 7*T1^11*T2^12 + 69*T1^12*T2^12 - 81*T1^13*T2^12 - 
      31*T1^14*T2^12 + 12*T1^15*T2^12 + 3*T1^16*T2^12 - 6*T1^5*T2^13 - 
      24*T1^6*T2^13 + 114*T1^7*T2^13 + 10*T1^8*T2^13 - 81*T1^9*T2^13 + 
      37*T1^10*T2^13 + 37*T1^11*T2^13 - 81*T1^12*T2^13 + 10*T1^13*T2^13 + 
      114*T1^14*T2^13 - 24*T1^15*T2^13 - 6*T1^16*T2^13 + 12*T1^6*T2^14 - 
      128*T1^8*T2^14 + 114*T1^9*T2^14 - 31*T1^10*T2^14 - 4*T1^11*T2^14 - 
      31*T1^12*T2^14 + 114*T1^13*T2^14 - 128*T1^14*T2^14 + 12*T1^16*T2^14 - 
      12*T1^7*T2^15 + 36*T1^8*T2^15 - 24*T1^10*T2^15 + 12*T1^11*T2^15 + 
      12*T1^12*T2^15 - 24*T1^13*T2^15 + 36*T1^15*T2^15 - 12*T1^16*T2^15 + 
      3*T1^8*T2^16 - 12*T1^9*T2^16 + 12*T1^10*T2^16 - 6*T1^11*T2^16 + 
      3*T1^12*T2^16 - 6*T1^13*T2^16 + 12*T1^14*T2^16 - 12*T1^15*T2^16 + 
      3*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, NonAlternating, 591] -> 
  {(1 - 2*T^2 + 2*T^3 - T^4 + 2*T^5 - 2*T^6 + T^8)/T^4, 
   (4 - 8*T1^2 + 8*T1^3 - 4*T1^4 + 8*T1^5 - 8*T1^6 + 4*T1^8 - T1^2*T2 + 
     2*T1^3*T2 - T1^4*T2 - T1^5*T2 + 2*T1^6*T2 - T1^7*T2 - 8*T2^2 - T1*T2^2 + 
     10*T1^2*T2^2 - 15*T1^3*T2^2 + 19*T1^4*T2^2 - 26*T1^5*T2^2 + 
     19*T1^6*T2^2 - 15*T1^7*T2^2 + 10*T1^8*T2^2 - T1^9*T2^2 - 8*T1^10*T2^2 + 
     8*T2^3 + 2*T1*T2^3 - 15*T1^2*T2^3 + 16*T1^3*T2^3 - 3*T1^4*T2^3 - 
     3*T1^7*T2^3 + 16*T1^8*T2^3 - 15*T1^9*T2^3 + 2*T1^10*T2^3 + 
     8*T1^11*T2^3 - 4*T2^4 - T1*T2^4 + 19*T1^2*T2^4 - 3*T1^3*T2^4 - 
     26*T1^4*T2^4 + 18*T1^5*T2^4 + 18*T1^7*T2^4 - 26*T1^8*T2^4 - 
     3*T1^9*T2^4 + 19*T1^10*T2^4 - T1^11*T2^4 - 4*T1^12*T2^4 + 8*T2^5 - 
     T1*T2^5 - 26*T1^2*T2^5 + 18*T1^4*T2^5 + 12*T1^5*T2^5 - 20*T1^6*T2^5 - 
     20*T1^7*T2^5 + 12*T1^8*T2^5 + 18*T1^9*T2^5 - 26*T1^11*T2^5 - 
     T1^12*T2^5 + 8*T1^13*T2^5 - 8*T2^6 + 2*T1*T2^6 + 19*T1^2*T2^6 - 
     20*T1^5*T2^6 + 17*T1^6*T2^6 + T1^7*T2^6 + 17*T1^8*T2^6 - 20*T1^9*T2^6 + 
     19*T1^12*T2^6 + 2*T1^13*T2^6 - 8*T1^14*T2^6 - T1*T2^7 - 15*T1^2*T2^7 - 
     3*T1^3*T2^7 + 18*T1^4*T2^7 - 20*T1^5*T2^7 + T1^6*T2^7 + T1^9*T2^7 - 
     20*T1^10*T2^7 + 18*T1^11*T2^7 - 3*T1^12*T2^7 - 15*T1^13*T2^7 - 
     T1^14*T2^7 + 4*T2^8 + 10*T1^2*T2^8 + 16*T1^3*T2^8 - 26*T1^4*T2^8 + 
     12*T1^5*T2^8 + 17*T1^6*T2^8 - 12*T1^8*T2^8 + 17*T1^10*T2^8 + 
     12*T1^11*T2^8 - 26*T1^12*T2^8 + 16*T1^13*T2^8 + 10*T1^14*T2^8 + 
     4*T1^16*T2^8 - T1^2*T2^9 - 15*T1^3*T2^9 - 3*T1^4*T2^9 + 18*T1^5*T2^9 - 
     20*T1^6*T2^9 + T1^7*T2^9 + T1^10*T2^9 - 20*T1^11*T2^9 + 18*T1^12*T2^9 - 
     3*T1^13*T2^9 - 15*T1^14*T2^9 - T1^15*T2^9 - 8*T1^2*T2^10 + 
     2*T1^3*T2^10 + 19*T1^4*T2^10 - 20*T1^7*T2^10 + 17*T1^8*T2^10 + 
     T1^9*T2^10 + 17*T1^10*T2^10 - 20*T1^11*T2^10 + 19*T1^14*T2^10 + 
     2*T1^15*T2^10 - 8*T1^16*T2^10 + 8*T1^3*T2^11 - T1^4*T2^11 - 
     26*T1^5*T2^11 + 18*T1^7*T2^11 + 12*T1^8*T2^11 - 20*T1^9*T2^11 - 
     20*T1^10*T2^11 + 12*T1^11*T2^11 + 18*T1^12*T2^11 - 26*T1^14*T2^11 - 
     T1^15*T2^11 + 8*T1^16*T2^11 - 4*T1^4*T2^12 - T1^5*T2^12 + 
     19*T1^6*T2^12 - 3*T1^7*T2^12 - 26*T1^8*T2^12 + 18*T1^9*T2^12 + 
     18*T1^11*T2^12 - 26*T1^12*T2^12 - 3*T1^13*T2^12 + 19*T1^14*T2^12 - 
     T1^15*T2^12 - 4*T1^16*T2^12 + 8*T1^5*T2^13 + 2*T1^6*T2^13 - 
     15*T1^7*T2^13 + 16*T1^8*T2^13 - 3*T1^9*T2^13 - 3*T1^12*T2^13 + 
     16*T1^13*T2^13 - 15*T1^14*T2^13 + 2*T1^15*T2^13 + 8*T1^16*T2^13 - 
     8*T1^6*T2^14 - T1^7*T2^14 + 10*T1^8*T2^14 - 15*T1^9*T2^14 + 
     19*T1^10*T2^14 - 26*T1^11*T2^14 + 19*T1^12*T2^14 - 15*T1^13*T2^14 + 
     10*T1^14*T2^14 - T1^15*T2^14 - 8*T1^16*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 + 4*T1^8*T2^16 - 8*T1^10*T2^16 + 8*T1^11*T2^16 - 
     4*T1^12*T2^16 + 8*T1^13*T2^16 - 8*T1^14*T2^16 + 4*T1^16*T2^16)/
    (T1^8*T2^8)}, 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 + 24*T1*T2 - 32*T1^2*T2 + 8*T1^4*T2 + 8*T1^5*T2 - 
      32*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 16*T2^2 - 32*T1*T2^2 + 
      16*T1^2*T2^2 + 67*T1^3*T2^2 - 23*T1^4*T2^2 - 24*T1^5*T2^2 - 
      23*T1^6*T2^2 + 67*T1^7*T2^2 + 16*T1^8*T2^2 - 32*T1^9*T2^2 + 
      16*T1^10*T2^2 - 16*T2^3 + 67*T1^2*T2^3 - 154*T1^3*T2^3 - 33*T1^4*T2^3 + 
      59*T1^5*T2^3 + 59*T1^6*T2^3 - 33*T1^7*T2^3 - 154*T1^8*T2^3 + 
      67*T1^9*T2^3 - 16*T1^11*T2^3 + 14*T2^4 + 8*T1*T2^4 - 23*T1^2*T2^4 - 
      33*T1^3*T2^4 + 341*T1^4*T2^4 - 222*T1^5*T2^4 + 81*T1^6*T2^4 - 
      222*T1^7*T2^4 + 341*T1^8*T2^4 - 33*T1^9*T2^4 - 23*T1^10*T2^4 + 
      8*T1^11*T2^4 + 14*T1^12*T2^4 - 16*T2^5 + 8*T1*T2^5 - 24*T1^2*T2^5 + 
      59*T1^3*T2^5 - 222*T1^4*T2^5 - 40*T1^5*T2^5 + 83*T1^6*T2^5 + 
      83*T1^7*T2^5 - 40*T1^8*T2^5 - 222*T1^9*T2^5 + 59*T1^10*T2^5 - 
      24*T1^11*T2^5 + 8*T1^12*T2^5 - 16*T1^13*T2^5 + 16*T2^6 - 23*T1^2*T2^6 + 
      59*T1^3*T2^6 + 81*T1^4*T2^6 + 83*T1^5*T2^6 - 38*T1^6*T2^6 - 
      44*T1^7*T2^6 - 38*T1^8*T2^6 + 83*T1^9*T2^6 + 81*T1^10*T2^6 + 
      59*T1^11*T2^6 - 23*T1^12*T2^6 + 16*T1^14*T2^6 - 8*T2^7 - 32*T1*T2^7 + 
      67*T1^2*T2^7 - 33*T1^3*T2^7 - 222*T1^4*T2^7 + 83*T1^5*T2^7 - 
      44*T1^6*T2^7 + 34*T1^7*T2^7 + 34*T1^8*T2^7 - 44*T1^9*T2^7 + 
      83*T1^10*T2^7 - 222*T1^11*T2^7 - 33*T1^12*T2^7 + 67*T1^13*T2^7 - 
      32*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 24*T1*T2^8 + 16*T1^2*T2^8 - 
      154*T1^3*T2^8 + 341*T1^4*T2^8 - 40*T1^5*T2^8 - 38*T1^6*T2^8 + 
      34*T1^7*T2^8 - 60*T1^8*T2^8 + 34*T1^9*T2^8 - 38*T1^10*T2^8 - 
      40*T1^11*T2^8 + 341*T1^12*T2^8 - 154*T1^13*T2^8 + 16*T1^14*T2^8 + 
      24*T1^15*T2^8 + 2*T1^16*T2^8 - 8*T1*T2^9 - 32*T1^2*T2^9 + 
      67*T1^3*T2^9 - 33*T1^4*T2^9 - 222*T1^5*T2^9 + 83*T1^6*T2^9 - 
      44*T1^7*T2^9 + 34*T1^8*T2^9 + 34*T1^9*T2^9 - 44*T1^10*T2^9 + 
      83*T1^11*T2^9 - 222*T1^12*T2^9 - 33*T1^13*T2^9 + 67*T1^14*T2^9 - 
      32*T1^15*T2^9 - 8*T1^16*T2^9 + 16*T1^2*T2^10 - 23*T1^4*T2^10 + 
      59*T1^5*T2^10 + 81*T1^6*T2^10 + 83*T1^7*T2^10 - 38*T1^8*T2^10 - 
      44*T1^9*T2^10 - 38*T1^10*T2^10 + 83*T1^11*T2^10 + 81*T1^12*T2^10 + 
      59*T1^13*T2^10 - 23*T1^14*T2^10 + 16*T1^16*T2^10 - 16*T1^3*T2^11 + 
      8*T1^4*T2^11 - 24*T1^5*T2^11 + 59*T1^6*T2^11 - 222*T1^7*T2^11 - 
      40*T1^8*T2^11 + 83*T1^9*T2^11 + 83*T1^10*T2^11 - 40*T1^11*T2^11 - 
      222*T1^12*T2^11 + 59*T1^13*T2^11 - 24*T1^14*T2^11 + 8*T1^15*T2^11 - 
      16*T1^16*T2^11 + 14*T1^4*T2^12 + 8*T1^5*T2^12 - 23*T1^6*T2^12 - 
      33*T1^7*T2^12 + 341*T1^8*T2^12 - 222*T1^9*T2^12 + 81*T1^10*T2^12 - 
      222*T1^11*T2^12 + 341*T1^12*T2^12 - 33*T1^13*T2^12 - 23*T1^14*T2^12 + 
      8*T1^15*T2^12 + 14*T1^16*T2^12 - 16*T1^5*T2^13 + 67*T1^7*T2^13 - 
      154*T1^8*T2^13 - 33*T1^9*T2^13 + 59*T1^10*T2^13 + 59*T1^11*T2^13 - 
      33*T1^12*T2^13 - 154*T1^13*T2^13 + 67*T1^14*T2^13 - 16*T1^16*T2^13 + 
      16*T1^6*T2^14 - 32*T1^7*T2^14 + 16*T1^8*T2^14 + 67*T1^9*T2^14 - 
      23*T1^10*T2^14 - 24*T1^11*T2^14 - 23*T1^12*T2^14 + 67*T1^13*T2^14 + 
      16*T1^14*T2^14 - 32*T1^15*T2^14 + 16*T1^16*T2^14 - 8*T1^7*T2^15 + 
      24*T1^8*T2^15 - 32*T1^9*T2^15 + 8*T1^11*T2^15 + 8*T1^12*T2^15 - 
      32*T1^14*T2^15 + 24*T1^15*T2^15 - 8*T1^16*T2^15 + 2*T1^8*T2^16 - 
      8*T1^9*T2^16 + 16*T1^10*T2^16 - 16*T1^11*T2^16 + 14*T1^12*T2^16 - 
      16*T1^13*T2^16 + 16*T1^14*T2^16 - 8*T1^15*T2^16 + 2*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, NonAlternating, 593] -> 
  {-((2 - 9*T + 13*T^2 - 13*T^3 + 13*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((17 - 76*T1 + 108*T1^2 - 107*T1^3 + 108*T1^4 - 76*T1^5 + 17*T1^6 - 
      76*T2 + 264*T1*T2 - 144*T1^2*T2 - 4*T1^3*T2 - 4*T1^4*T2 - 144*T1^5*T2 + 
      264*T1^6*T2 - 76*T1^7*T2 + 108*T2^2 - 144*T1*T2^2 - 694*T1^2*T2^2 + 
      954*T1^3*T2^2 - 728*T1^4*T2^2 + 954*T1^5*T2^2 - 694*T1^6*T2^2 - 
      144*T1^7*T2^2 + 108*T1^8*T2^2 - 107*T2^3 - 4*T1*T2^3 + 954*T1^2*T2^3 - 
      392*T1^3*T2^3 - 178*T1^4*T2^3 - 178*T1^5*T2^3 - 392*T1^6*T2^3 + 
      954*T1^7*T2^3 - 4*T1^8*T2^3 - 107*T1^9*T2^3 + 108*T2^4 - 4*T1*T2^4 - 
      728*T1^2*T2^4 - 178*T1^3*T2^4 + 421*T1^4*T2^4 + 19*T1^5*T2^4 + 
      421*T1^6*T2^4 - 178*T1^7*T2^4 - 728*T1^8*T2^4 - 4*T1^9*T2^4 + 
      108*T1^10*T2^4 - 76*T2^5 - 144*T1*T2^5 + 954*T1^2*T2^5 - 
      178*T1^3*T2^5 + 19*T1^4*T2^5 - 156*T1^5*T2^5 - 156*T1^6*T2^5 + 
      19*T1^7*T2^5 - 178*T1^8*T2^5 + 954*T1^9*T2^5 - 144*T1^10*T2^5 - 
      76*T1^11*T2^5 + 17*T2^6 + 264*T1*T2^6 - 694*T1^2*T2^6 - 392*T1^3*T2^6 + 
      421*T1^4*T2^6 - 156*T1^5*T2^6 + 216*T1^6*T2^6 - 156*T1^7*T2^6 + 
      421*T1^8*T2^6 - 392*T1^9*T2^6 - 694*T1^10*T2^6 + 264*T1^11*T2^6 + 
      17*T1^12*T2^6 - 76*T1*T2^7 - 144*T1^2*T2^7 + 954*T1^3*T2^7 - 
      178*T1^4*T2^7 + 19*T1^5*T2^7 - 156*T1^6*T2^7 - 156*T1^7*T2^7 + 
      19*T1^8*T2^7 - 178*T1^9*T2^7 + 954*T1^10*T2^7 - 144*T1^11*T2^7 - 
      76*T1^12*T2^7 + 108*T1^2*T2^8 - 4*T1^3*T2^8 - 728*T1^4*T2^8 - 
      178*T1^5*T2^8 + 421*T1^6*T2^8 + 19*T1^7*T2^8 + 421*T1^8*T2^8 - 
      178*T1^9*T2^8 - 728*T1^10*T2^8 - 4*T1^11*T2^8 + 108*T1^12*T2^8 - 
      107*T1^3*T2^9 - 4*T1^4*T2^9 + 954*T1^5*T2^9 - 392*T1^6*T2^9 - 
      178*T1^7*T2^9 - 178*T1^8*T2^9 - 392*T1^9*T2^9 + 954*T1^10*T2^9 - 
      4*T1^11*T2^9 - 107*T1^12*T2^9 + 108*T1^4*T2^10 - 144*T1^5*T2^10 - 
      694*T1^6*T2^10 + 954*T1^7*T2^10 - 728*T1^8*T2^10 + 954*T1^9*T2^10 - 
      694*T1^10*T2^10 - 144*T1^11*T2^10 + 108*T1^12*T2^10 - 76*T1^5*T2^11 + 
      264*T1^6*T2^11 - 144*T1^7*T2^11 - 4*T1^8*T2^11 - 4*T1^9*T2^11 - 
      144*T1^10*T2^11 + 264*T1^11*T2^11 - 76*T1^12*T2^11 + 17*T1^6*T2^12 - 
      76*T1^7*T2^12 + 108*T1^8*T2^12 - 107*T1^9*T2^12 + 108*T1^10*T2^12 - 
      76*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 594] -> 
  {(2 - T - 5*T^2 + 9*T^3 - 5*T^4 - T^5 + 2*T^6)/T^3, 
   (25 - 12*T1 - 62*T1^2 + 111*T1^3 - 62*T1^4 - 12*T1^5 + 25*T1^6 - 12*T2 - 
     6*T1*T2 + 32*T1^2*T2 - 20*T1^3*T2 - 20*T1^4*T2 + 32*T1^5*T2 - 
     6*T1^6*T2 - 12*T1^7*T2 - 62*T2^2 + 32*T1*T2^2 + 97*T1^2*T2^2 - 
     229*T1^3*T2^2 + 265*T1^4*T2^2 - 229*T1^5*T2^2 + 97*T1^6*T2^2 + 
     32*T1^7*T2^2 - 62*T1^8*T2^2 + 111*T2^3 - 20*T1*T2^3 - 229*T1^2*T2^3 + 
     370*T1^3*T2^3 - 168*T1^4*T2^3 - 168*T1^5*T2^3 + 370*T1^6*T2^3 - 
     229*T1^7*T2^3 - 20*T1^8*T2^3 + 111*T1^9*T2^3 - 62*T2^4 - 20*T1*T2^4 + 
     265*T1^2*T2^4 - 168*T1^3*T2^4 - 355*T1^4*T2^4 + 667*T1^5*T2^4 - 
     355*T1^6*T2^4 - 168*T1^7*T2^4 + 265*T1^8*T2^4 - 20*T1^9*T2^4 - 
     62*T1^10*T2^4 - 12*T2^5 + 32*T1*T2^5 - 229*T1^2*T2^5 - 168*T1^3*T2^5 + 
     667*T1^4*T2^5 - 426*T1^5*T2^5 - 426*T1^6*T2^5 + 667*T1^7*T2^5 - 
     168*T1^8*T2^5 - 229*T1^9*T2^5 + 32*T1^10*T2^5 - 12*T1^11*T2^5 + 
     25*T2^6 - 6*T1*T2^6 + 97*T1^2*T2^6 + 370*T1^3*T2^6 - 355*T1^4*T2^6 - 
     426*T1^5*T2^6 + 1020*T1^6*T2^6 - 426*T1^7*T2^6 - 355*T1^8*T2^6 + 
     370*T1^9*T2^6 + 97*T1^10*T2^6 - 6*T1^11*T2^6 + 25*T1^12*T2^6 - 
     12*T1*T2^7 + 32*T1^2*T2^7 - 229*T1^3*T2^7 - 168*T1^4*T2^7 + 
     667*T1^5*T2^7 - 426*T1^6*T2^7 - 426*T1^7*T2^7 + 667*T1^8*T2^7 - 
     168*T1^9*T2^7 - 229*T1^10*T2^7 + 32*T1^11*T2^7 - 12*T1^12*T2^7 - 
     62*T1^2*T2^8 - 20*T1^3*T2^8 + 265*T1^4*T2^8 - 168*T1^5*T2^8 - 
     355*T1^6*T2^8 + 667*T1^7*T2^8 - 355*T1^8*T2^8 - 168*T1^9*T2^8 + 
     265*T1^10*T2^8 - 20*T1^11*T2^8 - 62*T1^12*T2^8 + 111*T1^3*T2^9 - 
     20*T1^4*T2^9 - 229*T1^5*T2^9 + 370*T1^6*T2^9 - 168*T1^7*T2^9 - 
     168*T1^8*T2^9 + 370*T1^9*T2^9 - 229*T1^10*T2^9 - 20*T1^11*T2^9 + 
     111*T1^12*T2^9 - 62*T1^4*T2^10 + 32*T1^5*T2^10 + 97*T1^6*T2^10 - 
     229*T1^7*T2^10 + 265*T1^8*T2^10 - 229*T1^9*T2^10 + 97*T1^10*T2^10 + 
     32*T1^11*T2^10 - 62*T1^12*T2^10 - 12*T1^5*T2^11 - 6*T1^6*T2^11 + 
     32*T1^7*T2^11 - 20*T1^8*T2^11 - 20*T1^9*T2^11 + 32*T1^10*T2^11 - 
     6*T1^11*T2^11 - 12*T1^12*T2^11 + 25*T1^6*T2^12 - 12*T1^7*T2^12 - 
     62*T1^8*T2^12 + 111*T1^9*T2^12 - 62*T1^10*T2^12 - 12*T1^11*T2^12 + 
     25*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 595] -> 
  {((2 - 3*T + 2*T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3, 
   -((9 - 40*T1 + 92*T1^2 - 117*T1^3 + 92*T1^4 - 40*T1^5 + 9*T1^6 - 40*T2 + 
      138*T1*T2 - 232*T1^2*T2 + 112*T1^3*T2 + 112*T1^4*T2 - 232*T1^5*T2 + 
      138*T1^6*T2 - 40*T1^7*T2 + 92*T2^2 - 232*T1*T2^2 + 233*T1^2*T2^2 + 
      275*T1^3*T2^2 - 541*T1^4*T2^2 + 275*T1^5*T2^2 + 233*T1^6*T2^2 - 
      232*T1^7*T2^2 + 92*T1^8*T2^2 - 117*T2^3 + 112*T1*T2^3 + 275*T1^2*T2^3 - 
      1146*T1^3*T2^3 + 610*T1^4*T2^3 + 610*T1^5*T2^3 - 1146*T1^6*T2^3 + 
      275*T1^7*T2^3 + 112*T1^8*T2^3 - 117*T1^9*T2^3 + 92*T2^4 + 112*T1*T2^4 - 
      541*T1^2*T2^4 + 610*T1^3*T2^4 + 1674*T1^4*T2^4 - 2888*T1^5*T2^4 + 
      1674*T1^6*T2^4 + 610*T1^7*T2^4 - 541*T1^8*T2^4 + 112*T1^9*T2^4 + 
      92*T1^10*T2^4 - 40*T2^5 - 232*T1*T2^5 + 275*T1^2*T2^5 + 610*T1^3*T2^5 - 
      2888*T1^4*T2^5 + 1562*T1^5*T2^5 + 1562*T1^6*T2^5 - 2888*T1^7*T2^5 + 
      610*T1^8*T2^5 + 275*T1^9*T2^5 - 232*T1^10*T2^5 - 40*T1^11*T2^5 + 
      9*T2^6 + 138*T1*T2^6 + 233*T1^2*T2^6 - 1146*T1^3*T2^6 + 
      1674*T1^4*T2^6 + 1562*T1^5*T2^6 - 3348*T1^6*T2^6 + 1562*T1^7*T2^6 + 
      1674*T1^8*T2^6 - 1146*T1^9*T2^6 + 233*T1^10*T2^6 + 138*T1^11*T2^6 + 
      9*T1^12*T2^6 - 40*T1*T2^7 - 232*T1^2*T2^7 + 275*T1^3*T2^7 + 
      610*T1^4*T2^7 - 2888*T1^5*T2^7 + 1562*T1^6*T2^7 + 1562*T1^7*T2^7 - 
      2888*T1^8*T2^7 + 610*T1^9*T2^7 + 275*T1^10*T2^7 - 232*T1^11*T2^7 - 
      40*T1^12*T2^7 + 92*T1^2*T2^8 + 112*T1^3*T2^8 - 541*T1^4*T2^8 + 
      610*T1^5*T2^8 + 1674*T1^6*T2^8 - 2888*T1^7*T2^8 + 1674*T1^8*T2^8 + 
      610*T1^9*T2^8 - 541*T1^10*T2^8 + 112*T1^11*T2^8 + 92*T1^12*T2^8 - 
      117*T1^3*T2^9 + 112*T1^4*T2^9 + 275*T1^5*T2^9 - 1146*T1^6*T2^9 + 
      610*T1^7*T2^9 + 610*T1^8*T2^9 - 1146*T1^9*T2^9 + 275*T1^10*T2^9 + 
      112*T1^11*T2^9 - 117*T1^12*T2^9 + 92*T1^4*T2^10 - 232*T1^5*T2^10 + 
      233*T1^6*T2^10 + 275*T1^7*T2^10 - 541*T1^8*T2^10 + 275*T1^9*T2^10 + 
      233*T1^10*T2^10 - 232*T1^11*T2^10 + 92*T1^12*T2^10 - 40*T1^5*T2^11 + 
      138*T1^6*T2^11 - 232*T1^7*T2^11 + 112*T1^8*T2^11 + 112*T1^9*T2^11 - 
      232*T1^10*T2^11 + 138*T1^11*T2^11 - 40*T1^12*T2^11 + 9*T1^6*T2^12 - 
      40*T1^7*T2^12 + 92*T1^8*T2^12 - 117*T1^9*T2^12 + 92*T1^10*T2^12 - 
      40*T1^11*T2^12 + 9*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 596] -> 
  {(3 - 11*T + 21*T^2 - 25*T^3 + 21*T^4 - 11*T^5 + 3*T^6)/T^3, 
   -((30 - 109*T1 + 207*T1^2 - 244*T1^3 + 207*T1^4 - 109*T1^5 + 30*T1^6 - 
      109*T2 + 288*T1*T2 - 358*T1^2*T2 + 136*T1^3*T2 + 136*T1^4*T2 - 
      358*T1^5*T2 + 288*T1^6*T2 - 109*T1^7*T2 + 207*T2^2 - 358*T1*T2^2 + 
      187*T1^2*T2^2 + 369*T1^3*T2^2 - 495*T1^4*T2^2 + 369*T1^5*T2^2 + 
      187*T1^6*T2^2 - 358*T1^7*T2^2 + 207*T1^8*T2^2 - 244*T2^3 + 
      136*T1*T2^3 + 369*T1^2*T2^3 - 950*T1^3*T2^3 + 320*T1^4*T2^3 + 
      320*T1^5*T2^3 - 950*T1^6*T2^3 + 369*T1^7*T2^3 + 136*T1^8*T2^3 - 
      244*T1^9*T2^3 + 207*T2^4 + 136*T1*T2^4 - 495*T1^2*T2^4 + 
      320*T1^3*T2^4 + 1289*T1^4*T2^4 - 1669*T1^5*T2^4 + 1289*T1^6*T2^4 + 
      320*T1^7*T2^4 - 495*T1^8*T2^4 + 136*T1^9*T2^4 + 207*T1^10*T2^4 - 
      109*T2^5 - 358*T1*T2^5 + 369*T1^2*T2^5 + 320*T1^3*T2^5 - 
      1669*T1^4*T2^5 + 624*T1^5*T2^5 + 624*T1^6*T2^5 - 1669*T1^7*T2^5 + 
      320*T1^8*T2^5 + 369*T1^9*T2^5 - 358*T1^10*T2^5 - 109*T1^11*T2^5 + 
      30*T2^6 + 288*T1*T2^6 + 187*T1^2*T2^6 - 950*T1^3*T2^6 + 
      1289*T1^4*T2^6 + 624*T1^5*T2^6 - 1140*T1^6*T2^6 + 624*T1^7*T2^6 + 
      1289*T1^8*T2^6 - 950*T1^9*T2^6 + 187*T1^10*T2^6 + 288*T1^11*T2^6 + 
      30*T1^12*T2^6 - 109*T1*T2^7 - 358*T1^2*T2^7 + 369*T1^3*T2^7 + 
      320*T1^4*T2^7 - 1669*T1^5*T2^7 + 624*T1^6*T2^7 + 624*T1^7*T2^7 - 
      1669*T1^8*T2^7 + 320*T1^9*T2^7 + 369*T1^10*T2^7 - 358*T1^11*T2^7 - 
      109*T1^12*T2^7 + 207*T1^2*T2^8 + 136*T1^3*T2^8 - 495*T1^4*T2^8 + 
      320*T1^5*T2^8 + 1289*T1^6*T2^8 - 1669*T1^7*T2^8 + 1289*T1^8*T2^8 + 
      320*T1^9*T2^8 - 495*T1^10*T2^8 + 136*T1^11*T2^8 + 207*T1^12*T2^8 - 
      244*T1^3*T2^9 + 136*T1^4*T2^9 + 369*T1^5*T2^9 - 950*T1^6*T2^9 + 
      320*T1^7*T2^9 + 320*T1^8*T2^9 - 950*T1^9*T2^9 + 369*T1^10*T2^9 + 
      136*T1^11*T2^9 - 244*T1^12*T2^9 + 207*T1^4*T2^10 - 358*T1^5*T2^10 + 
      187*T1^6*T2^10 + 369*T1^7*T2^10 - 495*T1^8*T2^10 + 369*T1^9*T2^10 + 
      187*T1^10*T2^10 - 358*T1^11*T2^10 + 207*T1^12*T2^10 - 109*T1^5*T2^11 + 
      288*T1^6*T2^11 - 358*T1^7*T2^11 + 136*T1^8*T2^11 + 136*T1^9*T2^11 - 
      358*T1^10*T2^11 + 288*T1^11*T2^11 - 109*T1^12*T2^11 + 30*T1^6*T2^12 - 
      109*T1^7*T2^12 + 207*T1^8*T2^12 - 244*T1^9*T2^12 + 207*T1^10*T2^12 - 
      109*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 597] -> 
  {((2 - 2*T + T^2)*(1 - T + T^2)*(1 - 2*T + 2*T^2))/T^3, 
   (9 - 34*T1 + 70*T1^2 - 85*T1^3 + 70*T1^4 - 34*T1^5 + 9*T1^6 - 34*T2 + 
     98*T1*T2 - 141*T1^2*T2 + 61*T1^3*T2 + 61*T1^4*T2 - 141*T1^5*T2 + 
     98*T1^6*T2 - 34*T1^7*T2 + 70*T2^2 - 141*T1*T2^2 + 84*T1^2*T2^2 + 
     197*T1^3*T2^2 - 320*T1^4*T2^2 + 197*T1^5*T2^2 + 84*T1^6*T2^2 - 
     141*T1^7*T2^2 + 70*T1^8*T2^2 - 85*T2^3 + 61*T1*T2^3 + 197*T1^2*T2^3 - 
     536*T1^3*T2^3 + 266*T1^4*T2^3 + 266*T1^5*T2^3 - 536*T1^6*T2^3 + 
     197*T1^7*T2^3 + 61*T1^8*T2^3 - 85*T1^9*T2^3 + 70*T2^4 + 61*T1*T2^4 - 
     320*T1^2*T2^4 + 266*T1^3*T2^4 + 545*T1^4*T2^4 - 983*T1^5*T2^4 + 
     545*T1^6*T2^4 + 266*T1^7*T2^4 - 320*T1^8*T2^4 + 61*T1^9*T2^4 + 
     70*T1^10*T2^4 - 34*T2^5 - 141*T1*T2^5 + 197*T1^2*T2^5 + 266*T1^3*T2^5 - 
     983*T1^4*T2^5 + 558*T1^5*T2^5 + 558*T1^6*T2^5 - 983*T1^7*T2^5 + 
     266*T1^8*T2^5 + 197*T1^9*T2^5 - 141*T1^10*T2^5 - 34*T1^11*T2^5 + 
     9*T2^6 + 98*T1*T2^6 + 84*T1^2*T2^6 - 536*T1^3*T2^6 + 545*T1^4*T2^6 + 
     558*T1^5*T2^6 - 1248*T1^6*T2^6 + 558*T1^7*T2^6 + 545*T1^8*T2^6 - 
     536*T1^9*T2^6 + 84*T1^10*T2^6 + 98*T1^11*T2^6 + 9*T1^12*T2^6 - 
     34*T1*T2^7 - 141*T1^2*T2^7 + 197*T1^3*T2^7 + 266*T1^4*T2^7 - 
     983*T1^5*T2^7 + 558*T1^6*T2^7 + 558*T1^7*T2^7 - 983*T1^8*T2^7 + 
     266*T1^9*T2^7 + 197*T1^10*T2^7 - 141*T1^11*T2^7 - 34*T1^12*T2^7 + 
     70*T1^2*T2^8 + 61*T1^3*T2^8 - 320*T1^4*T2^8 + 266*T1^5*T2^8 + 
     545*T1^6*T2^8 - 983*T1^7*T2^8 + 545*T1^8*T2^8 + 266*T1^9*T2^8 - 
     320*T1^10*T2^8 + 61*T1^11*T2^8 + 70*T1^12*T2^8 - 85*T1^3*T2^9 + 
     61*T1^4*T2^9 + 197*T1^5*T2^9 - 536*T1^6*T2^9 + 266*T1^7*T2^9 + 
     266*T1^8*T2^9 - 536*T1^9*T2^9 + 197*T1^10*T2^9 + 61*T1^11*T2^9 - 
     85*T1^12*T2^9 + 70*T1^4*T2^10 - 141*T1^5*T2^10 + 84*T1^6*T2^10 + 
     197*T1^7*T2^10 - 320*T1^8*T2^10 + 197*T1^9*T2^10 + 84*T1^10*T2^10 - 
     141*T1^11*T2^10 + 70*T1^12*T2^10 - 34*T1^5*T2^11 + 98*T1^6*T2^11 - 
     141*T1^7*T2^11 + 61*T1^8*T2^11 + 61*T1^9*T2^11 - 141*T1^10*T2^11 + 
     98*T1^11*T2^11 - 34*T1^12*T2^11 + 9*T1^6*T2^12 - 34*T1^7*T2^12 + 
     70*T1^8*T2^12 - 85*T1^9*T2^12 + 70*T1^10*T2^12 - 34*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 598] -> 
  {(1 - 8*T + 24*T^2 - 33*T^3 + 24*T^4 - 8*T^5 + T^6)/T^3, 
   (1 - 8*T1 + 24*T1^2 - 33*T1^3 + 24*T1^4 - 8*T1^5 + T1^6 - 8*T2 + 
     56*T1*T2 - 127*T1^2*T2 + 71*T1^3*T2 + 71*T1^4*T2 - 127*T1^5*T2 + 
     56*T1^6*T2 - 8*T1^7*T2 + 24*T2^2 - 127*T1*T2^2 + 88*T1^2*T2^2 + 
     513*T1^3*T2^2 - 892*T1^4*T2^2 + 513*T1^5*T2^2 + 88*T1^6*T2^2 - 
     127*T1^7*T2^2 + 24*T1^8*T2^2 - 33*T2^3 + 71*T1*T2^3 + 513*T1^2*T2^3 - 
     1808*T1^3*T2^3 + 1068*T1^4*T2^3 + 1068*T1^5*T2^3 - 1808*T1^6*T2^3 + 
     513*T1^7*T2^3 + 71*T1^8*T2^3 - 33*T1^9*T2^3 + 24*T2^4 + 71*T1*T2^4 - 
     892*T1^2*T2^4 + 1068*T1^3*T2^4 + 2954*T1^4*T2^4 - 5576*T1^5*T2^4 + 
     2954*T1^6*T2^4 + 1068*T1^7*T2^4 - 892*T1^8*T2^4 + 71*T1^9*T2^4 + 
     24*T1^10*T2^4 - 8*T2^5 - 127*T1*T2^5 + 513*T1^2*T2^5 + 1068*T1^3*T2^5 - 
     5576*T1^4*T2^5 + 3436*T1^5*T2^5 + 3436*T1^6*T2^5 - 5576*T1^7*T2^5 + 
     1068*T1^8*T2^5 + 513*T1^9*T2^5 - 127*T1^10*T2^5 - 8*T1^11*T2^5 + T2^6 + 
     56*T1*T2^6 + 88*T1^2*T2^6 - 1808*T1^3*T2^6 + 2954*T1^4*T2^6 + 
     3436*T1^5*T2^6 - 7848*T1^6*T2^6 + 3436*T1^7*T2^6 + 2954*T1^8*T2^6 - 
     1808*T1^9*T2^6 + 88*T1^10*T2^6 + 56*T1^11*T2^6 + T1^12*T2^6 - 
     8*T1*T2^7 - 127*T1^2*T2^7 + 513*T1^3*T2^7 + 1068*T1^4*T2^7 - 
     5576*T1^5*T2^7 + 3436*T1^6*T2^7 + 3436*T1^7*T2^7 - 5576*T1^8*T2^7 + 
     1068*T1^9*T2^7 + 513*T1^10*T2^7 - 127*T1^11*T2^7 - 8*T1^12*T2^7 + 
     24*T1^2*T2^8 + 71*T1^3*T2^8 - 892*T1^4*T2^8 + 1068*T1^5*T2^8 + 
     2954*T1^6*T2^8 - 5576*T1^7*T2^8 + 2954*T1^8*T2^8 + 1068*T1^9*T2^8 - 
     892*T1^10*T2^8 + 71*T1^11*T2^8 + 24*T1^12*T2^8 - 33*T1^3*T2^9 + 
     71*T1^4*T2^9 + 513*T1^5*T2^9 - 1808*T1^6*T2^9 + 1068*T1^7*T2^9 + 
     1068*T1^8*T2^9 - 1808*T1^9*T2^9 + 513*T1^10*T2^9 + 71*T1^11*T2^9 - 
     33*T1^12*T2^9 + 24*T1^4*T2^10 - 127*T1^5*T2^10 + 88*T1^6*T2^10 + 
     513*T1^7*T2^10 - 892*T1^8*T2^10 + 513*T1^9*T2^10 + 88*T1^10*T2^10 - 
     127*T1^11*T2^10 + 24*T1^12*T2^10 - 8*T1^5*T2^11 + 56*T1^6*T2^11 - 
     127*T1^7*T2^11 + 71*T1^8*T2^11 + 71*T1^9*T2^11 - 127*T1^10*T2^11 + 
     56*T1^11*T2^11 - 8*T1^12*T2^11 + T1^6*T2^12 - 8*T1^7*T2^12 + 
     24*T1^8*T2^12 - 33*T1^9*T2^12 + 24*T1^10*T2^12 - 8*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, 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), 
   -((1 - 4*T1 + 7*T1^2 - 10*T1^3 + 11*T1^4 - 10*T1^5 + 7*T1^6 - 4*T1^7 + 
      T1^8 - 4*T2 + 12*T1*T2 - 12*T1^2*T2 + 12*T1^3*T2 - 4*T1^4*T2 - 
      4*T1^5*T2 + 12*T1^6*T2 - 12*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 7*T2^2 - 
      12*T1*T2^2 - 7*T1^2*T2^2 + 10*T1^3*T2^2 - 30*T1^4*T2^2 + 33*T1^5*T2^2 - 
      30*T1^6*T2^2 + 10*T1^7*T2^2 - 7*T1^8*T2^2 - 12*T1^9*T2^2 + 
      7*T1^10*T2^2 - 10*T2^3 + 12*T1*T2^3 + 10*T1^2*T2^3 + 16*T1^3*T2^3 + 
      18*T1^4*T2^3 - 6*T1^5*T2^3 - 6*T1^6*T2^3 + 18*T1^7*T2^3 + 
      16*T1^8*T2^3 + 10*T1^9*T2^3 + 12*T1^10*T2^3 - 10*T1^11*T2^3 + 11*T2^4 - 
      4*T1*T2^4 - 30*T1^2*T2^4 + 18*T1^3*T2^4 - 119*T1^4*T2^4 + 
      83*T1^5*T2^4 - 63*T1^6*T2^4 + 83*T1^7*T2^4 - 119*T1^8*T2^4 + 
      18*T1^9*T2^4 - 30*T1^10*T2^4 - 4*T1^11*T2^4 + 11*T1^12*T2^4 - 10*T2^5 - 
      4*T1*T2^5 + 33*T1^2*T2^5 - 6*T1^3*T2^5 + 83*T1^4*T2^5 + 34*T1^5*T2^5 - 
      37*T1^6*T2^5 - 37*T1^7*T2^5 + 34*T1^8*T2^5 + 83*T1^9*T2^5 - 
      6*T1^10*T2^5 + 33*T1^11*T2^5 - 4*T1^12*T2^5 - 10*T1^13*T2^5 + 7*T2^6 + 
      12*T1*T2^6 - 30*T1^2*T2^6 - 6*T1^3*T2^6 - 63*T1^4*T2^6 - 37*T1^5*T2^6 - 
      31*T1^6*T2^6 + 111*T1^7*T2^6 - 31*T1^8*T2^6 - 37*T1^9*T2^6 - 
      63*T1^10*T2^6 - 6*T1^11*T2^6 - 30*T1^12*T2^6 + 12*T1^13*T2^6 + 
      7*T1^14*T2^6 - 4*T2^7 - 12*T1*T2^7 + 10*T1^2*T2^7 + 18*T1^3*T2^7 + 
      83*T1^4*T2^7 - 37*T1^5*T2^7 + 111*T1^6*T2^7 - 86*T1^7*T2^7 - 
      86*T1^8*T2^7 + 111*T1^9*T2^7 - 37*T1^10*T2^7 + 83*T1^11*T2^7 + 
      18*T1^12*T2^7 + 10*T1^13*T2^7 - 12*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 
      12*T1*T2^8 - 7*T1^2*T2^8 + 16*T1^3*T2^8 - 119*T1^4*T2^8 + 
      34*T1^5*T2^8 - 31*T1^6*T2^8 - 86*T1^7*T2^8 + 204*T1^8*T2^8 - 
      86*T1^9*T2^8 - 31*T1^10*T2^8 + 34*T1^11*T2^8 - 119*T1^12*T2^8 + 
      16*T1^13*T2^8 - 7*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 
      12*T1^2*T2^9 + 10*T1^3*T2^9 + 18*T1^4*T2^9 + 83*T1^5*T2^9 - 
      37*T1^6*T2^9 + 111*T1^7*T2^9 - 86*T1^8*T2^9 - 86*T1^9*T2^9 + 
      111*T1^10*T2^9 - 37*T1^11*T2^9 + 83*T1^12*T2^9 + 18*T1^13*T2^9 + 
      10*T1^14*T2^9 - 12*T1^15*T2^9 - 4*T1^16*T2^9 + 7*T1^2*T2^10 + 
      12*T1^3*T2^10 - 30*T1^4*T2^10 - 6*T1^5*T2^10 - 63*T1^6*T2^10 - 
      37*T1^7*T2^10 - 31*T1^8*T2^10 + 111*T1^9*T2^10 - 31*T1^10*T2^10 - 
      37*T1^11*T2^10 - 63*T1^12*T2^10 - 6*T1^13*T2^10 - 30*T1^14*T2^10 + 
      12*T1^15*T2^10 + 7*T1^16*T2^10 - 10*T1^3*T2^11 - 4*T1^4*T2^11 + 
      33*T1^5*T2^11 - 6*T1^6*T2^11 + 83*T1^7*T2^11 + 34*T1^8*T2^11 - 
      37*T1^9*T2^11 - 37*T1^10*T2^11 + 34*T1^11*T2^11 + 83*T1^12*T2^11 - 
      6*T1^13*T2^11 + 33*T1^14*T2^11 - 4*T1^15*T2^11 - 10*T1^16*T2^11 + 
      11*T1^4*T2^12 - 4*T1^5*T2^12 - 30*T1^6*T2^12 + 18*T1^7*T2^12 - 
      119*T1^8*T2^12 + 83*T1^9*T2^12 - 63*T1^10*T2^12 + 83*T1^11*T2^12 - 
      119*T1^12*T2^12 + 18*T1^13*T2^12 - 30*T1^14*T2^12 - 4*T1^15*T2^12 + 
      11*T1^16*T2^12 - 10*T1^5*T2^13 + 12*T1^6*T2^13 + 10*T1^7*T2^13 + 
      16*T1^8*T2^13 + 18*T1^9*T2^13 - 6*T1^10*T2^13 - 6*T1^11*T2^13 + 
      18*T1^12*T2^13 + 16*T1^13*T2^13 + 10*T1^14*T2^13 + 12*T1^15*T2^13 - 
      10*T1^16*T2^13 + 7*T1^6*T2^14 - 12*T1^7*T2^14 - 7*T1^8*T2^14 + 
      10*T1^9*T2^14 - 30*T1^10*T2^14 + 33*T1^11*T2^14 - 30*T1^12*T2^14 + 
      10*T1^13*T2^14 - 7*T1^14*T2^14 - 12*T1^15*T2^14 + 7*T1^16*T2^14 - 
      4*T1^7*T2^15 + 12*T1^8*T2^15 - 12*T1^9*T2^15 + 12*T1^10*T2^15 - 
      4*T1^11*T2^15 - 4*T1^12*T2^15 + 12*T1^13*T2^15 - 12*T1^14*T2^15 + 
      12*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)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 600] -> 
  {((1 - T + T^2)*(4 - 5*T + 3*T^2 - 5*T^3 + 4*T^4))/T^3, 
   (208 - 456*T1 + 592*T1^2 - 632*T1^3 + 592*T1^4 - 456*T1^5 + 208*T1^6 - 
     456*T2 + 554*T1*T2 - 316*T1^2*T2 + 98*T1^3*T2 + 98*T1^4*T2 - 
     316*T1^5*T2 + 554*T1^6*T2 - 456*T1^7*T2 + 592*T2^2 - 316*T1*T2^2 + 
     9*T1^2*T2^2 - 54*T1^3*T2^2 + 83*T1^4*T2^2 - 54*T1^5*T2^2 + 9*T1^6*T2^2 - 
     316*T1^7*T2^2 + 592*T1^8*T2^2 - 632*T2^3 + 98*T1*T2^3 - 54*T1^2*T2^3 + 
     220*T1^3*T2^3 - 85*T1^4*T2^3 - 85*T1^5*T2^3 + 220*T1^6*T2^3 - 
     54*T1^7*T2^3 + 98*T1^8*T2^3 - 632*T1^9*T2^3 + 592*T2^4 + 98*T1*T2^4 + 
     83*T1^2*T2^4 - 85*T1^3*T2^4 - 179*T1^4*T2^4 + 231*T1^5*T2^4 - 
     179*T1^6*T2^4 - 85*T1^7*T2^4 + 83*T1^8*T2^4 + 98*T1^9*T2^4 + 
     592*T1^10*T2^4 - 456*T2^5 - 316*T1*T2^5 - 54*T1^2*T2^5 - 85*T1^3*T2^5 + 
     231*T1^4*T2^5 - 70*T1^5*T2^5 - 70*T1^6*T2^5 + 231*T1^7*T2^5 - 
     85*T1^8*T2^5 - 54*T1^9*T2^5 - 316*T1^10*T2^5 - 456*T1^11*T2^5 + 
     208*T2^6 + 554*T1*T2^6 + 9*T1^2*T2^6 + 220*T1^3*T2^6 - 179*T1^4*T2^6 - 
     70*T1^5*T2^6 + 108*T1^6*T2^6 - 70*T1^7*T2^6 - 179*T1^8*T2^6 + 
     220*T1^9*T2^6 + 9*T1^10*T2^6 + 554*T1^11*T2^6 + 208*T1^12*T2^6 - 
     456*T1*T2^7 - 316*T1^2*T2^7 - 54*T1^3*T2^7 - 85*T1^4*T2^7 + 
     231*T1^5*T2^7 - 70*T1^6*T2^7 - 70*T1^7*T2^7 + 231*T1^8*T2^7 - 
     85*T1^9*T2^7 - 54*T1^10*T2^7 - 316*T1^11*T2^7 - 456*T1^12*T2^7 + 
     592*T1^2*T2^8 + 98*T1^3*T2^8 + 83*T1^4*T2^8 - 85*T1^5*T2^8 - 
     179*T1^6*T2^8 + 231*T1^7*T2^8 - 179*T1^8*T2^8 - 85*T1^9*T2^8 + 
     83*T1^10*T2^8 + 98*T1^11*T2^8 + 592*T1^12*T2^8 - 632*T1^3*T2^9 + 
     98*T1^4*T2^9 - 54*T1^5*T2^9 + 220*T1^6*T2^9 - 85*T1^7*T2^9 - 
     85*T1^8*T2^9 + 220*T1^9*T2^9 - 54*T1^10*T2^9 + 98*T1^11*T2^9 - 
     632*T1^12*T2^9 + 592*T1^4*T2^10 - 316*T1^5*T2^10 + 9*T1^6*T2^10 - 
     54*T1^7*T2^10 + 83*T1^8*T2^10 - 54*T1^9*T2^10 + 9*T1^10*T2^10 - 
     316*T1^11*T2^10 + 592*T1^12*T2^10 - 456*T1^5*T2^11 + 554*T1^6*T2^11 - 
     316*T1^7*T2^11 + 98*T1^8*T2^11 + 98*T1^9*T2^11 - 316*T1^10*T2^11 + 
     554*T1^11*T2^11 - 456*T1^12*T2^11 + 208*T1^6*T2^12 - 456*T1^7*T2^12 + 
     592*T1^8*T2^12 - 632*T1^9*T2^12 + 592*T1^10*T2^12 - 456*T1^11*T2^12 + 
     208*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 601] -> 
  {(1 - T + T^2)^3/T^3, (1 - 3*T1 + 6*T1^2 - 7*T1^3 + 6*T1^4 - 3*T1^5 + 
     T1^6 - 3*T2 + 6*T1*T2 - 9*T1^2*T2 + 3*T1^3*T2 + 3*T1^4*T2 - 9*T1^5*T2 + 
     6*T1^6*T2 - 3*T1^7*T2 + 6*T2^2 - 9*T1*T2^2 + 14*T1^2*T2^2 + 
     2*T1^3*T2^2 - 6*T1^4*T2^2 + 2*T1^5*T2^2 + 14*T1^6*T2^2 - 9*T1^7*T2^2 + 
     6*T1^8*T2^2 - 7*T2^3 + 3*T1*T2^3 + 2*T1^2*T2^3 - 32*T1^3*T2^3 + 
     17*T1^4*T2^3 + 17*T1^5*T2^3 - 32*T1^6*T2^3 + 2*T1^7*T2^3 + 3*T1^8*T2^3 - 
     7*T1^9*T2^3 + 6*T2^4 + 3*T1*T2^4 - 6*T1^2*T2^4 + 17*T1^3*T2^4 + 
     32*T1^4*T2^4 - 72*T1^5*T2^4 + 32*T1^6*T2^4 + 17*T1^7*T2^4 - 
     6*T1^8*T2^4 + 3*T1^9*T2^4 + 6*T1^10*T2^4 - 3*T2^5 - 9*T1*T2^5 + 
     2*T1^2*T2^5 + 17*T1^3*T2^5 - 72*T1^4*T2^5 + 58*T1^5*T2^5 + 
     58*T1^6*T2^5 - 72*T1^7*T2^5 + 17*T1^8*T2^5 + 2*T1^9*T2^5 - 
     9*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 6*T1*T2^6 + 14*T1^2*T2^6 - 
     32*T1^3*T2^6 + 32*T1^4*T2^6 + 58*T1^5*T2^6 - 156*T1^6*T2^6 + 
     58*T1^7*T2^6 + 32*T1^8*T2^6 - 32*T1^9*T2^6 + 14*T1^10*T2^6 + 
     6*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 - 9*T1^2*T2^7 + 2*T1^3*T2^7 + 
     17*T1^4*T2^7 - 72*T1^5*T2^7 + 58*T1^6*T2^7 + 58*T1^7*T2^7 - 
     72*T1^8*T2^7 + 17*T1^9*T2^7 + 2*T1^10*T2^7 - 9*T1^11*T2^7 - 
     3*T1^12*T2^7 + 6*T1^2*T2^8 + 3*T1^3*T2^8 - 6*T1^4*T2^8 + 17*T1^5*T2^8 + 
     32*T1^6*T2^8 - 72*T1^7*T2^8 + 32*T1^8*T2^8 + 17*T1^9*T2^8 - 
     6*T1^10*T2^8 + 3*T1^11*T2^8 + 6*T1^12*T2^8 - 7*T1^3*T2^9 + 3*T1^4*T2^9 + 
     2*T1^5*T2^9 - 32*T1^6*T2^9 + 17*T1^7*T2^9 + 17*T1^8*T2^9 - 
     32*T1^9*T2^9 + 2*T1^10*T2^9 + 3*T1^11*T2^9 - 7*T1^12*T2^9 + 
     6*T1^4*T2^10 - 9*T1^5*T2^10 + 14*T1^6*T2^10 + 2*T1^7*T2^10 - 
     6*T1^8*T2^10 + 2*T1^9*T2^10 + 14*T1^10*T2^10 - 9*T1^11*T2^10 + 
     6*T1^12*T2^10 - 3*T1^5*T2^11 + 6*T1^6*T2^11 - 9*T1^7*T2^11 + 
     3*T1^8*T2^11 + 3*T1^9*T2^11 - 9*T1^10*T2^11 + 6*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)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 602] -> 
  {((1 - T + T^2)*(1 - 8*T + 15*T^2 - 8*T^3 + T^4))/T^3, 
   (1 - 9*T1 + 24*T1^2 - 31*T1^3 + 24*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
     74*T1*T2 - 139*T1^2*T2 + 65*T1^3*T2 + 65*T1^4*T2 - 139*T1^5*T2 + 
     74*T1^6*T2 - 9*T1^7*T2 + 24*T2^2 - 139*T1*T2^2 - 89*T1^2*T2^2 + 
     854*T1^3*T2^2 - 1185*T1^4*T2^2 + 854*T1^5*T2^2 - 89*T1^6*T2^2 - 
     139*T1^7*T2^2 + 24*T1^8*T2^2 - 31*T2^3 + 65*T1*T2^3 + 854*T1^2*T2^3 - 
     1984*T1^3*T2^3 + 904*T1^4*T2^3 + 904*T1^5*T2^3 - 1984*T1^6*T2^3 + 
     854*T1^7*T2^3 + 65*T1^8*T2^3 - 31*T1^9*T2^3 + 24*T2^4 + 65*T1*T2^4 - 
     1185*T1^2*T2^4 + 904*T1^3*T2^4 + 2681*T1^4*T2^4 - 4175*T1^5*T2^4 + 
     2681*T1^6*T2^4 + 904*T1^7*T2^4 - 1185*T1^8*T2^4 + 65*T1^9*T2^4 + 
     24*T1^10*T2^4 - 9*T2^5 - 139*T1*T2^5 + 854*T1^2*T2^5 + 904*T1^3*T2^5 - 
     4175*T1^4*T2^5 + 1974*T1^5*T2^5 + 1974*T1^6*T2^5 - 4175*T1^7*T2^5 + 
     904*T1^8*T2^5 + 854*T1^9*T2^5 - 139*T1^10*T2^5 - 9*T1^11*T2^5 + T2^6 + 
     74*T1*T2^6 - 89*T1^2*T2^6 - 1984*T1^3*T2^6 + 2681*T1^4*T2^6 + 
     1974*T1^5*T2^6 - 3984*T1^6*T2^6 + 1974*T1^7*T2^6 + 2681*T1^8*T2^6 - 
     1984*T1^9*T2^6 - 89*T1^10*T2^6 + 74*T1^11*T2^6 + T1^12*T2^6 - 
     9*T1*T2^7 - 139*T1^2*T2^7 + 854*T1^3*T2^7 + 904*T1^4*T2^7 - 
     4175*T1^5*T2^7 + 1974*T1^6*T2^7 + 1974*T1^7*T2^7 - 4175*T1^8*T2^7 + 
     904*T1^9*T2^7 + 854*T1^10*T2^7 - 139*T1^11*T2^7 - 9*T1^12*T2^7 + 
     24*T1^2*T2^8 + 65*T1^3*T2^8 - 1185*T1^4*T2^8 + 904*T1^5*T2^8 + 
     2681*T1^6*T2^8 - 4175*T1^7*T2^8 + 2681*T1^8*T2^8 + 904*T1^9*T2^8 - 
     1185*T1^10*T2^8 + 65*T1^11*T2^8 + 24*T1^12*T2^8 - 31*T1^3*T2^9 + 
     65*T1^4*T2^9 + 854*T1^5*T2^9 - 1984*T1^6*T2^9 + 904*T1^7*T2^9 + 
     904*T1^8*T2^9 - 1984*T1^9*T2^9 + 854*T1^10*T2^9 + 65*T1^11*T2^9 - 
     31*T1^12*T2^9 + 24*T1^4*T2^10 - 139*T1^5*T2^10 - 89*T1^6*T2^10 + 
     854*T1^7*T2^10 - 1185*T1^8*T2^10 + 854*T1^9*T2^10 - 89*T1^10*T2^10 - 
     139*T1^11*T2^10 + 24*T1^12*T2^10 - 9*T1^5*T2^11 + 74*T1^6*T2^11 - 
     139*T1^7*T2^11 + 65*T1^8*T2^11 + 65*T1^9*T2^11 - 139*T1^10*T2^11 + 
     74*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 
     24*T1^8*T2^12 - 31*T1^9*T2^12 + 24*T1^10*T2^12 - 9*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 603] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(1 - T^2 + T^4))/T^4), 
   -((3 - 12*T1 + 12*T1^2 - 9*T1^4 + 12*T1^6 - 12*T1^7 + 3*T1^8 - 12*T2 + 
      36*T1*T2 - 48*T1^3*T2 + 36*T1^4*T2 + 36*T1^5*T2 - 48*T1^6*T2 + 
      36*T1^8*T2 - 12*T1^9*T2 + 12*T2^2 - 128*T1^2*T2^2 + 138*T1^3*T2^2 + 
      14*T1^4*T2^2 - 142*T1^5*T2^2 + 14*T1^6*T2^2 + 138*T1^7*T2^2 - 
      128*T1^8*T2^2 + 12*T1^10*T2^2 - 48*T1*T2^3 + 138*T1^2*T2^3 + 
      2*T1^3*T2^3 - 181*T1^4*T2^3 + 135*T1^5*T2^3 + 135*T1^6*T2^3 - 
      181*T1^7*T2^3 + 2*T1^8*T2^3 + 138*T1^9*T2^3 - 48*T1^10*T2^3 - 9*T2^4 + 
      36*T1*T2^4 + 14*T1^2*T2^4 - 181*T1^3*T2^4 + 183*T1^4*T2^4 + 
      34*T1^5*T2^4 - 191*T1^6*T2^4 + 34*T1^7*T2^4 + 183*T1^8*T2^4 - 
      181*T1^9*T2^4 + 14*T1^10*T2^4 + 36*T1^11*T2^4 - 9*T1^12*T2^4 + 
      36*T1*T2^5 - 142*T1^2*T2^5 + 135*T1^3*T2^5 + 34*T1^4*T2^5 - 
      192*T1^5*T2^5 + 105*T1^6*T2^5 + 105*T1^7*T2^5 - 192*T1^8*T2^5 + 
      34*T1^9*T2^5 + 135*T1^10*T2^5 - 142*T1^11*T2^5 + 36*T1^12*T2^5 + 
      12*T2^6 - 48*T1*T2^6 + 14*T1^2*T2^6 + 135*T1^3*T2^6 - 191*T1^4*T2^6 + 
      105*T1^5*T2^6 + 58*T1^6*T2^6 - 112*T1^7*T2^6 + 58*T1^8*T2^6 + 
      105*T1^9*T2^6 - 191*T1^10*T2^6 + 135*T1^11*T2^6 + 14*T1^12*T2^6 - 
      48*T1^13*T2^6 + 12*T1^14*T2^6 - 12*T2^7 + 138*T1^2*T2^7 - 
      181*T1^3*T2^7 + 34*T1^4*T2^7 + 105*T1^5*T2^7 - 112*T1^6*T2^7 + 
      34*T1^7*T2^7 + 34*T1^8*T2^7 - 112*T1^9*T2^7 + 105*T1^10*T2^7 + 
      34*T1^11*T2^7 - 181*T1^12*T2^7 + 138*T1^13*T2^7 - 12*T1^15*T2^7 + 
      3*T2^8 + 36*T1*T2^8 - 128*T1^2*T2^8 + 2*T1^3*T2^8 + 183*T1^4*T2^8 - 
      192*T1^5*T2^8 + 58*T1^6*T2^8 + 34*T1^7*T2^8 - 48*T1^8*T2^8 + 
      34*T1^9*T2^8 + 58*T1^10*T2^8 - 192*T1^11*T2^8 + 183*T1^12*T2^8 + 
      2*T1^13*T2^8 - 128*T1^14*T2^8 + 36*T1^15*T2^8 + 3*T1^16*T2^8 - 
      12*T1*T2^9 + 138*T1^3*T2^9 - 181*T1^4*T2^9 + 34*T1^5*T2^9 + 
      105*T1^6*T2^9 - 112*T1^7*T2^9 + 34*T1^8*T2^9 + 34*T1^9*T2^9 - 
      112*T1^10*T2^9 + 105*T1^11*T2^9 + 34*T1^12*T2^9 - 181*T1^13*T2^9 + 
      138*T1^14*T2^9 - 12*T1^16*T2^9 + 12*T1^2*T2^10 - 48*T1^3*T2^10 + 
      14*T1^4*T2^10 + 135*T1^5*T2^10 - 191*T1^6*T2^10 + 105*T1^7*T2^10 + 
      58*T1^8*T2^10 - 112*T1^9*T2^10 + 58*T1^10*T2^10 + 105*T1^11*T2^10 - 
      191*T1^12*T2^10 + 135*T1^13*T2^10 + 14*T1^14*T2^10 - 48*T1^15*T2^10 + 
      12*T1^16*T2^10 + 36*T1^4*T2^11 - 142*T1^5*T2^11 + 135*T1^6*T2^11 + 
      34*T1^7*T2^11 - 192*T1^8*T2^11 + 105*T1^9*T2^11 + 105*T1^10*T2^11 - 
      192*T1^11*T2^11 + 34*T1^12*T2^11 + 135*T1^13*T2^11 - 142*T1^14*T2^11 + 
      36*T1^15*T2^11 - 9*T1^4*T2^12 + 36*T1^5*T2^12 + 14*T1^6*T2^12 - 
      181*T1^7*T2^12 + 183*T1^8*T2^12 + 34*T1^9*T2^12 - 191*T1^10*T2^12 + 
      34*T1^11*T2^12 + 183*T1^12*T2^12 - 181*T1^13*T2^12 + 14*T1^14*T2^12 + 
      36*T1^15*T2^12 - 9*T1^16*T2^12 - 48*T1^6*T2^13 + 138*T1^7*T2^13 + 
      2*T1^8*T2^13 - 181*T1^9*T2^13 + 135*T1^10*T2^13 + 135*T1^11*T2^13 - 
      181*T1^12*T2^13 + 2*T1^13*T2^13 + 138*T1^14*T2^13 - 48*T1^15*T2^13 + 
      12*T1^6*T2^14 - 128*T1^8*T2^14 + 138*T1^9*T2^14 + 14*T1^10*T2^14 - 
      142*T1^11*T2^14 + 14*T1^12*T2^14 + 138*T1^13*T2^14 - 128*T1^14*T2^14 + 
      12*T1^16*T2^14 - 12*T1^7*T2^15 + 36*T1^8*T2^15 - 48*T1^10*T2^15 + 
      36*T1^11*T2^15 + 36*T1^12*T2^15 - 48*T1^13*T2^15 + 36*T1^15*T2^15 - 
      12*T1^16*T2^15 + 3*T1^8*T2^16 - 12*T1^9*T2^16 + 12*T1^10*T2^16 - 
      9*T1^12*T2^16 + 12*T1^14*T2^16 - 12*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^8*T2^8))}, 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 + 6*T1*T2 - 9*T1^2*T2 + 3*T1^3*T2 + 3*T1^4*T2 - 9*T1^5*T2 + 
      6*T1^6*T2 - 3*T1^7*T2 + 6*T2^2 - 9*T1*T2^2 + 17*T1^2*T2^2 - 
      9*T1^3*T2^2 + 12*T1^4*T2^2 - 9*T1^5*T2^2 + 17*T1^6*T2^2 - 9*T1^7*T2^2 + 
      6*T1^8*T2^2 - 7*T2^3 + 3*T1*T2^3 - 9*T1^2*T2^3 - 11*T1^3*T2^3 - 
      2*T1^4*T2^3 - 2*T1^5*T2^3 - 11*T1^6*T2^3 - 9*T1^7*T2^3 + 3*T1^8*T2^3 - 
      7*T1^9*T2^3 + 6*T2^4 + 3*T1*T2^4 + 12*T1^2*T2^4 - 2*T1^3*T2^4 + 
      47*T1^4*T2^4 - 42*T1^5*T2^4 + 47*T1^6*T2^4 - 2*T1^7*T2^4 + 
      12*T1^8*T2^4 + 3*T1^9*T2^4 + 6*T1^10*T2^4 - 3*T2^5 - 9*T1*T2^5 - 
      9*T1^2*T2^5 - 2*T1^3*T2^5 - 42*T1^4*T2^5 + 4*T1^5*T2^5 + 4*T1^6*T2^5 - 
      42*T1^7*T2^5 - 2*T1^8*T2^5 - 9*T1^9*T2^5 - 9*T1^10*T2^5 - 
      3*T1^11*T2^5 + T2^6 + 6*T1*T2^6 + 17*T1^2*T2^6 - 11*T1^3*T2^6 + 
      47*T1^4*T2^6 + 4*T1^5*T2^6 + 6*T1^6*T2^6 + 4*T1^7*T2^6 + 47*T1^8*T2^6 - 
      11*T1^9*T2^6 + 17*T1^10*T2^6 + 6*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 - 
      9*T1^2*T2^7 - 9*T1^3*T2^7 - 2*T1^4*T2^7 - 42*T1^5*T2^7 + 4*T1^6*T2^7 + 
      4*T1^7*T2^7 - 42*T1^8*T2^7 - 2*T1^9*T2^7 - 9*T1^10*T2^7 - 
      9*T1^11*T2^7 - 3*T1^12*T2^7 + 6*T1^2*T2^8 + 3*T1^3*T2^8 + 
      12*T1^4*T2^8 - 2*T1^5*T2^8 + 47*T1^6*T2^8 - 42*T1^7*T2^8 + 
      47*T1^8*T2^8 - 2*T1^9*T2^8 + 12*T1^10*T2^8 + 3*T1^11*T2^8 + 
      6*T1^12*T2^8 - 7*T1^3*T2^9 + 3*T1^4*T2^9 - 9*T1^5*T2^9 - 11*T1^6*T2^9 - 
      2*T1^7*T2^9 - 2*T1^8*T2^9 - 11*T1^9*T2^9 - 9*T1^10*T2^9 + 
      3*T1^11*T2^9 - 7*T1^12*T2^9 + 6*T1^4*T2^10 - 9*T1^5*T2^10 + 
      17*T1^6*T2^10 - 9*T1^7*T2^10 + 12*T1^8*T2^10 - 9*T1^9*T2^10 + 
      17*T1^10*T2^10 - 9*T1^11*T2^10 + 6*T1^12*T2^10 - 3*T1^5*T2^11 + 
      6*T1^6*T2^11 - 9*T1^7*T2^11 + 3*T1^8*T2^11 + 3*T1^9*T2^11 - 
      9*T1^10*T2^11 + 6*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))/(T1^8*T2^8)}, 
 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)*
     (1 - T1 - 2*T1^2 + 3*T1^3 - 2*T1^4 - T1^5 + T1^6 - T2 - 2*T1*T2 + 
      6*T1^2*T2 - T1^3*T2 - T1^4*T2 + 6*T1^5*T2 - 2*T1^6*T2 - T1^7*T2 - 
      2*T2^2 + 6*T1*T2^2 - 10*T1^3*T2^2 + 8*T1^4*T2^2 - 10*T1^5*T2^2 + 
      6*T1^7*T2^2 - 2*T1^8*T2^2 + 3*T2^3 - T1*T2^3 - 10*T1^2*T2^3 + 
      6*T1^3*T2^3 + T1^4*T2^3 + T1^5*T2^3 + 6*T1^6*T2^3 - 10*T1^7*T2^3 - 
      T1^8*T2^3 + 3*T1^9*T2^3 - 2*T2^4 - T1*T2^4 + 8*T1^2*T2^4 + T1^3*T2^4 - 
      6*T1^4*T2^4 + 4*T1^5*T2^4 - 6*T1^6*T2^4 + T1^7*T2^4 + 8*T1^8*T2^4 - 
      T1^9*T2^4 - 2*T1^10*T2^4 - T2^5 + 6*T1*T2^5 - 10*T1^2*T2^5 + 
      T1^3*T2^5 + 4*T1^4*T2^5 + 2*T1^5*T2^5 + 2*T1^6*T2^5 + 4*T1^7*T2^5 + 
      T1^8*T2^5 - 10*T1^9*T2^5 + 6*T1^10*T2^5 - T1^11*T2^5 + T2^6 - 
      2*T1*T2^6 + 6*T1^3*T2^6 - 6*T1^4*T2^6 + 2*T1^5*T2^6 - 12*T1^6*T2^6 + 
      2*T1^7*T2^6 - 6*T1^8*T2^6 + 6*T1^9*T2^6 - 2*T1^11*T2^6 + T1^12*T2^6 - 
      T1*T2^7 + 6*T1^2*T2^7 - 10*T1^3*T2^7 + T1^4*T2^7 + 4*T1^5*T2^7 + 
      2*T1^6*T2^7 + 2*T1^7*T2^7 + 4*T1^8*T2^7 + T1^9*T2^7 - 10*T1^10*T2^7 + 
      6*T1^11*T2^7 - T1^12*T2^7 - 2*T1^2*T2^8 - T1^3*T2^8 + 8*T1^4*T2^8 + 
      T1^5*T2^8 - 6*T1^6*T2^8 + 4*T1^7*T2^8 - 6*T1^8*T2^8 + T1^9*T2^8 + 
      8*T1^10*T2^8 - T1^11*T2^8 - 2*T1^12*T2^8 + 3*T1^3*T2^9 - T1^4*T2^9 - 
      10*T1^5*T2^9 + 6*T1^6*T2^9 + T1^7*T2^9 + T1^8*T2^9 + 6*T1^9*T2^9 - 
      10*T1^10*T2^9 - T1^11*T2^9 + 3*T1^12*T2^9 - 2*T1^4*T2^10 + 
      6*T1^5*T2^10 - 10*T1^7*T2^10 + 8*T1^8*T2^10 - 10*T1^9*T2^10 + 
      6*T1^11*T2^10 - 2*T1^12*T2^10 - T1^5*T2^11 - 2*T1^6*T2^11 + 
      6*T1^7*T2^11 - T1^8*T2^11 - T1^9*T2^11 + 6*T1^10*T2^11 - 
      2*T1^11*T2^11 - T1^12*T2^11 + T1^6*T2^12 - T1^7*T2^12 - 2*T1^8*T2^12 + 
      3*T1^9*T2^12 - 2*T1^10*T2^12 - T1^11*T2^12 + T1^12*T2^12))/
    (T1^8*T2^8)}, Knot[12, NonAlternating, 606] -> 
  {(2 - 8*T + 18*T^2 - 23*T^3 + 18*T^4 - 8*T^5 + 2*T^6)/T^3, 
   -((9 - 35*T1 + 78*T1^2 - 99*T1^3 + 78*T1^4 - 35*T1^5 + 9*T1^6 - 35*T2 + 
      102*T1*T2 - 168*T1^2*T2 + 82*T1^3*T2 + 82*T1^4*T2 - 168*T1^5*T2 + 
      102*T1^6*T2 - 35*T1^7*T2 + 78*T2^2 - 168*T1*T2^2 + 288*T1^2*T2^2 - 
      162*T1^3*T2^2 + 106*T1^4*T2^2 - 162*T1^5*T2^2 + 288*T1^6*T2^2 - 
      168*T1^7*T2^2 + 78*T1^8*T2^2 - 99*T2^3 + 82*T1*T2^3 - 162*T1^2*T2^3 - 
      142*T1^3*T2^3 + 42*T1^4*T2^3 + 42*T1^5*T2^3 - 142*T1^6*T2^3 - 
      162*T1^7*T2^3 + 82*T1^8*T2^3 - 99*T1^9*T2^3 + 78*T2^4 + 82*T1*T2^4 + 
      106*T1^2*T2^4 + 42*T1^3*T2^4 + 757*T1^4*T2^4 - 907*T1^5*T2^4 + 
      757*T1^6*T2^4 + 42*T1^7*T2^4 + 106*T1^8*T2^4 + 82*T1^9*T2^4 + 
      78*T1^10*T2^4 - 35*T2^5 - 168*T1*T2^5 - 162*T1^2*T2^5 + 42*T1^3*T2^5 - 
      907*T1^4*T2^5 + 264*T1^5*T2^5 + 264*T1^6*T2^5 - 907*T1^7*T2^5 + 
      42*T1^8*T2^5 - 162*T1^9*T2^5 - 168*T1^10*T2^5 - 35*T1^11*T2^5 + 
      9*T2^6 + 102*T1*T2^6 + 288*T1^2*T2^6 - 142*T1^3*T2^6 + 757*T1^4*T2^6 + 
      264*T1^5*T2^6 - 312*T1^6*T2^6 + 264*T1^7*T2^6 + 757*T1^8*T2^6 - 
      142*T1^9*T2^6 + 288*T1^10*T2^6 + 102*T1^11*T2^6 + 9*T1^12*T2^6 - 
      35*T1*T2^7 - 168*T1^2*T2^7 - 162*T1^3*T2^7 + 42*T1^4*T2^7 - 
      907*T1^5*T2^7 + 264*T1^6*T2^7 + 264*T1^7*T2^7 - 907*T1^8*T2^7 + 
      42*T1^9*T2^7 - 162*T1^10*T2^7 - 168*T1^11*T2^7 - 35*T1^12*T2^7 + 
      78*T1^2*T2^8 + 82*T1^3*T2^8 + 106*T1^4*T2^8 + 42*T1^5*T2^8 + 
      757*T1^6*T2^8 - 907*T1^7*T2^8 + 757*T1^8*T2^8 + 42*T1^9*T2^8 + 
      106*T1^10*T2^8 + 82*T1^11*T2^8 + 78*T1^12*T2^8 - 99*T1^3*T2^9 + 
      82*T1^4*T2^9 - 162*T1^5*T2^9 - 142*T1^6*T2^9 + 42*T1^7*T2^9 + 
      42*T1^8*T2^9 - 142*T1^9*T2^9 - 162*T1^10*T2^9 + 82*T1^11*T2^9 - 
      99*T1^12*T2^9 + 78*T1^4*T2^10 - 168*T1^5*T2^10 + 288*T1^6*T2^10 - 
      162*T1^7*T2^10 + 106*T1^8*T2^10 - 162*T1^9*T2^10 + 288*T1^10*T2^10 - 
      168*T1^11*T2^10 + 78*T1^12*T2^10 - 35*T1^5*T2^11 + 102*T1^6*T2^11 - 
      168*T1^7*T2^11 + 82*T1^8*T2^11 + 82*T1^9*T2^11 - 168*T1^10*T2^11 + 
      102*T1^11*T2^11 - 35*T1^12*T2^11 + 9*T1^6*T2^12 - 35*T1^7*T2^12 + 
      78*T1^8*T2^12 - 99*T1^9*T2^12 + 78*T1^10*T2^12 - 35*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 607] -> 
  {(2 - 7*T + 13*T^2 - 15*T^3 + 13*T^4 - 7*T^5 + 2*T^6)/T^3, 
   -((7 - 25*T1 + 46*T1^2 - 53*T1^3 + 46*T1^4 - 25*T1^5 + 7*T1^6 - 25*T2 + 
      62*T1*T2 - 73*T1^2*T2 + 23*T1^3*T2 + 23*T1^4*T2 - 73*T1^5*T2 + 
      62*T1^6*T2 - 25*T1^7*T2 + 46*T2^2 - 73*T1*T2^2 + 48*T1^2*T2^2 + 
      52*T1^3*T2^2 - 42*T1^4*T2^2 + 52*T1^5*T2^2 + 48*T1^6*T2^2 - 
      73*T1^7*T2^2 + 46*T1^8*T2^2 - 53*T2^3 + 23*T1*T2^3 + 52*T1^2*T2^3 - 
      160*T1^3*T2^3 + 14*T1^4*T2^3 + 14*T1^5*T2^3 - 160*T1^6*T2^3 + 
      52*T1^7*T2^3 + 23*T1^8*T2^3 - 53*T1^9*T2^3 + 46*T2^4 + 23*T1*T2^4 - 
      42*T1^2*T2^4 + 14*T1^3*T2^4 + 310*T1^4*T2^4 - 284*T1^5*T2^4 + 
      310*T1^6*T2^4 + 14*T1^7*T2^4 - 42*T1^8*T2^4 + 23*T1^9*T2^4 + 
      46*T1^10*T2^4 - 25*T2^5 - 73*T1*T2^5 + 52*T1^2*T2^5 + 14*T1^3*T2^5 - 
      284*T1^4*T2^5 + 40*T1^5*T2^5 + 40*T1^6*T2^5 - 284*T1^7*T2^5 + 
      14*T1^8*T2^5 + 52*T1^9*T2^5 - 73*T1^10*T2^5 - 25*T1^11*T2^5 + 7*T2^6 + 
      62*T1*T2^6 + 48*T1^2*T2^6 - 160*T1^3*T2^6 + 310*T1^4*T2^6 + 
      40*T1^5*T2^6 - 12*T1^6*T2^6 + 40*T1^7*T2^6 + 310*T1^8*T2^6 - 
      160*T1^9*T2^6 + 48*T1^10*T2^6 + 62*T1^11*T2^6 + 7*T1^12*T2^6 - 
      25*T1*T2^7 - 73*T1^2*T2^7 + 52*T1^3*T2^7 + 14*T1^4*T2^7 - 
      284*T1^5*T2^7 + 40*T1^6*T2^7 + 40*T1^7*T2^7 - 284*T1^8*T2^7 + 
      14*T1^9*T2^7 + 52*T1^10*T2^7 - 73*T1^11*T2^7 - 25*T1^12*T2^7 + 
      46*T1^2*T2^8 + 23*T1^3*T2^8 - 42*T1^4*T2^8 + 14*T1^5*T2^8 + 
      310*T1^6*T2^8 - 284*T1^7*T2^8 + 310*T1^8*T2^8 + 14*T1^9*T2^8 - 
      42*T1^10*T2^8 + 23*T1^11*T2^8 + 46*T1^12*T2^8 - 53*T1^3*T2^9 + 
      23*T1^4*T2^9 + 52*T1^5*T2^9 - 160*T1^6*T2^9 + 14*T1^7*T2^9 + 
      14*T1^8*T2^9 - 160*T1^9*T2^9 + 52*T1^10*T2^9 + 23*T1^11*T2^9 - 
      53*T1^12*T2^9 + 46*T1^4*T2^10 - 73*T1^5*T2^10 + 48*T1^6*T2^10 + 
      52*T1^7*T2^10 - 42*T1^8*T2^10 + 52*T1^9*T2^10 + 48*T1^10*T2^10 - 
      73*T1^11*T2^10 + 46*T1^12*T2^10 - 25*T1^5*T2^11 + 62*T1^6*T2^11 - 
      73*T1^7*T2^11 + 23*T1^8*T2^11 + 23*T1^9*T2^11 - 73*T1^10*T2^11 + 
      62*T1^11*T2^11 - 25*T1^12*T2^11 + 7*T1^6*T2^12 - 25*T1^7*T2^12 + 
      46*T1^8*T2^12 - 53*T1^9*T2^12 + 46*T1^10*T2^12 - 25*T1^11*T2^12 + 
      7*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 608] -> 
  {(3 - 10*T + 15*T^2 - 10*T^3 + 3*T^4)/T^2, 
   -((3 - 12*T1 + 19*T1^2 - 12*T1^3 + 3*T1^4 - 12*T2 + 24*T1*T2 - 
      24*T1^2*T2 - 24*T1^3*T2 + 24*T1^4*T2 - 12*T1^5*T2 + 19*T2^2 - 
      24*T1*T2^2 + 104*T1^2*T2^2 - 70*T1^3*T2^2 + 104*T1^4*T2^2 - 
      24*T1^5*T2^2 + 19*T1^6*T2^2 - 12*T2^3 - 24*T1*T2^3 - 70*T1^2*T2^3 - 
      46*T1^3*T2^3 - 46*T1^4*T2^3 - 70*T1^5*T2^3 - 24*T1^6*T2^3 - 
      12*T1^7*T2^3 + 3*T2^4 + 24*T1*T2^4 + 104*T1^2*T2^4 - 46*T1^3*T2^4 + 
      228*T1^4*T2^4 - 46*T1^5*T2^4 + 104*T1^6*T2^4 + 24*T1^7*T2^4 + 
      3*T1^8*T2^4 - 12*T1*T2^5 - 24*T1^2*T2^5 - 70*T1^3*T2^5 - 46*T1^4*T2^5 - 
      46*T1^5*T2^5 - 70*T1^6*T2^5 - 24*T1^7*T2^5 - 12*T1^8*T2^5 + 
      19*T1^2*T2^6 - 24*T1^3*T2^6 + 104*T1^4*T2^6 - 70*T1^5*T2^6 + 
      104*T1^6*T2^6 - 24*T1^7*T2^6 + 19*T1^8*T2^6 - 12*T1^3*T2^7 + 
      24*T1^4*T2^7 - 24*T1^5*T2^7 - 24*T1^6*T2^7 + 24*T1^7*T2^7 - 
      12*T1^8*T2^7 + 3*T1^4*T2^8 - 12*T1^5*T2^8 + 19*T1^6*T2^8 - 
      12*T1^7*T2^8 + 3*T1^8*T2^8)/(T1^4*T2^4))}, 
 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, 
   (2 - 8*T1 + 14*T1^2 - 12*T1^3 + 10*T1^4 - 12*T1^5 + 14*T1^6 - 8*T1^7 + 
     2*T1^8 - 8*T2 + 24*T1*T2 - 24*T1^2*T2 - 8*T1^3*T2 + 8*T1^4*T2 + 
     8*T1^5*T2 - 8*T1^6*T2 - 24*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 14*T2^2 - 
     24*T1*T2^2 - 15*T1^2*T2^2 + 83*T1^3*T2^2 - 24*T1^4*T2^2 - 7*T1^5*T2^2 - 
     24*T1^6*T2^2 + 83*T1^7*T2^2 - 15*T1^8*T2^2 - 24*T1^9*T2^2 + 
     14*T1^10*T2^2 - 12*T2^3 - 8*T1*T2^3 + 83*T1^2*T2^3 - 108*T1^3*T2^3 - 
     66*T1^4*T2^3 + 43*T1^5*T2^3 + 43*T1^6*T2^3 - 66*T1^7*T2^3 - 
     108*T1^8*T2^3 + 83*T1^9*T2^3 - 8*T1^10*T2^3 - 12*T1^11*T2^3 + 10*T2^4 + 
     8*T1*T2^4 - 24*T1^2*T2^4 - 66*T1^3*T2^4 + 254*T1^4*T2^4 - 95*T1^5*T2^4 + 
     22*T1^6*T2^4 - 95*T1^7*T2^4 + 254*T1^8*T2^4 - 66*T1^9*T2^4 - 
     24*T1^10*T2^4 + 8*T1^11*T2^4 + 10*T1^12*T2^4 - 12*T2^5 + 8*T1*T2^5 - 
     7*T1^2*T2^5 + 43*T1^3*T2^5 - 95*T1^4*T2^5 - 84*T1^5*T2^5 + 
     47*T1^6*T2^5 + 47*T1^7*T2^5 - 84*T1^8*T2^5 - 95*T1^9*T2^5 + 
     43*T1^10*T2^5 - 7*T1^11*T2^5 + 8*T1^12*T2^5 - 12*T1^13*T2^5 + 14*T2^6 - 
     8*T1*T2^6 - 24*T1^2*T2^6 + 43*T1^3*T2^6 + 22*T1^4*T2^6 + 47*T1^5*T2^6 - 
     7*T1^6*T2^6 - 7*T1^7*T2^6 - 7*T1^8*T2^6 + 47*T1^9*T2^6 + 22*T1^10*T2^6 + 
     43*T1^11*T2^6 - 24*T1^12*T2^6 - 8*T1^13*T2^6 + 14*T1^14*T2^6 - 8*T2^7 - 
     24*T1*T2^7 + 83*T1^2*T2^7 - 66*T1^3*T2^7 - 95*T1^4*T2^7 + 47*T1^5*T2^7 - 
     7*T1^6*T2^7 - 7*T1^9*T2^7 + 47*T1^10*T2^7 - 95*T1^11*T2^7 - 
     66*T1^12*T2^7 + 83*T1^13*T2^7 - 24*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 
     24*T1*T2^8 - 15*T1^2*T2^8 - 108*T1^3*T2^8 + 254*T1^4*T2^8 - 
     84*T1^5*T2^8 - 7*T1^6*T2^8 - 7*T1^10*T2^8 - 84*T1^11*T2^8 + 
     254*T1^12*T2^8 - 108*T1^13*T2^8 - 15*T1^14*T2^8 + 24*T1^15*T2^8 + 
     2*T1^16*T2^8 - 8*T1*T2^9 - 24*T1^2*T2^9 + 83*T1^3*T2^9 - 66*T1^4*T2^9 - 
     95*T1^5*T2^9 + 47*T1^6*T2^9 - 7*T1^7*T2^9 - 7*T1^10*T2^9 + 
     47*T1^11*T2^9 - 95*T1^12*T2^9 - 66*T1^13*T2^9 + 83*T1^14*T2^9 - 
     24*T1^15*T2^9 - 8*T1^16*T2^9 + 14*T1^2*T2^10 - 8*T1^3*T2^10 - 
     24*T1^4*T2^10 + 43*T1^5*T2^10 + 22*T1^6*T2^10 + 47*T1^7*T2^10 - 
     7*T1^8*T2^10 - 7*T1^9*T2^10 - 7*T1^10*T2^10 + 47*T1^11*T2^10 + 
     22*T1^12*T2^10 + 43*T1^13*T2^10 - 24*T1^14*T2^10 - 8*T1^15*T2^10 + 
     14*T1^16*T2^10 - 12*T1^3*T2^11 + 8*T1^4*T2^11 - 7*T1^5*T2^11 + 
     43*T1^6*T2^11 - 95*T1^7*T2^11 - 84*T1^8*T2^11 + 47*T1^9*T2^11 + 
     47*T1^10*T2^11 - 84*T1^11*T2^11 - 95*T1^12*T2^11 + 43*T1^13*T2^11 - 
     7*T1^14*T2^11 + 8*T1^15*T2^11 - 12*T1^16*T2^11 + 10*T1^4*T2^12 + 
     8*T1^5*T2^12 - 24*T1^6*T2^12 - 66*T1^7*T2^12 + 254*T1^8*T2^12 - 
     95*T1^9*T2^12 + 22*T1^10*T2^12 - 95*T1^11*T2^12 + 254*T1^12*T2^12 - 
     66*T1^13*T2^12 - 24*T1^14*T2^12 + 8*T1^15*T2^12 + 10*T1^16*T2^12 - 
     12*T1^5*T2^13 - 8*T1^6*T2^13 + 83*T1^7*T2^13 - 108*T1^8*T2^13 - 
     66*T1^9*T2^13 + 43*T1^10*T2^13 + 43*T1^11*T2^13 - 66*T1^12*T2^13 - 
     108*T1^13*T2^13 + 83*T1^14*T2^13 - 8*T1^15*T2^13 - 12*T1^16*T2^13 + 
     14*T1^6*T2^14 - 24*T1^7*T2^14 - 15*T1^8*T2^14 + 83*T1^9*T2^14 - 
     24*T1^10*T2^14 - 7*T1^11*T2^14 - 24*T1^12*T2^14 + 83*T1^13*T2^14 - 
     15*T1^14*T2^14 - 24*T1^15*T2^14 + 14*T1^16*T2^14 - 8*T1^7*T2^15 + 
     24*T1^8*T2^15 - 24*T1^9*T2^15 - 8*T1^10*T2^15 + 8*T1^11*T2^15 + 
     8*T1^12*T2^15 - 8*T1^13*T2^15 - 24*T1^14*T2^15 + 24*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)/(T1^8*T2^8)}, 
 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, 
   (T1 - T1^2 - T1^4 + T1^5 + T2 - 6*T1*T2 + 2*T1^2*T2 + 4*T1^3*T2 + 
     4*T1^4*T2 + 2*T1^5*T2 - 6*T1^6*T2 + T1^7*T2 - T2^2 + 2*T1*T2^2 + 
     25*T1^2*T2^2 - 34*T1^3*T2^2 + 9*T1^4*T2^2 - 34*T1^5*T2^2 + 
     25*T1^6*T2^2 + 2*T1^7*T2^2 - T1^8*T2^2 + 4*T1*T2^3 - 34*T1^2*T2^3 + 
     4*T1^3*T2^3 + 30*T1^4*T2^3 + 30*T1^5*T2^3 + 4*T1^6*T2^3 - 34*T1^7*T2^3 + 
     4*T1^8*T2^3 - T2^4 + 4*T1*T2^4 + 9*T1^2*T2^4 + 30*T1^3*T2^4 - 
     8*T1^4*T2^4 - 68*T1^5*T2^4 - 8*T1^6*T2^4 + 30*T1^7*T2^4 + 9*T1^8*T2^4 + 
     4*T1^9*T2^4 - T1^10*T2^4 + T2^5 + 2*T1*T2^5 - 34*T1^2*T2^5 + 
     30*T1^3*T2^5 - 68*T1^4*T2^5 + 64*T1^5*T2^5 + 64*T1^6*T2^5 - 
     68*T1^7*T2^5 + 30*T1^8*T2^5 - 34*T1^9*T2^5 + 2*T1^10*T2^5 + T1^11*T2^5 - 
     6*T1*T2^6 + 25*T1^2*T2^6 + 4*T1^3*T2^6 - 8*T1^4*T2^6 + 64*T1^5*T2^6 - 
     144*T1^6*T2^6 + 64*T1^7*T2^6 - 8*T1^8*T2^6 + 4*T1^9*T2^6 + 
     25*T1^10*T2^6 - 6*T1^11*T2^6 + T1*T2^7 + 2*T1^2*T2^7 - 34*T1^3*T2^7 + 
     30*T1^4*T2^7 - 68*T1^5*T2^7 + 64*T1^6*T2^7 + 64*T1^7*T2^7 - 
     68*T1^8*T2^7 + 30*T1^9*T2^7 - 34*T1^10*T2^7 + 2*T1^11*T2^7 + 
     T1^12*T2^7 - T1^2*T2^8 + 4*T1^3*T2^8 + 9*T1^4*T2^8 + 30*T1^5*T2^8 - 
     8*T1^6*T2^8 - 68*T1^7*T2^8 - 8*T1^8*T2^8 + 30*T1^9*T2^8 + 9*T1^10*T2^8 + 
     4*T1^11*T2^8 - T1^12*T2^8 + 4*T1^4*T2^9 - 34*T1^5*T2^9 + 4*T1^6*T2^9 + 
     30*T1^7*T2^9 + 30*T1^8*T2^9 + 4*T1^9*T2^9 - 34*T1^10*T2^9 + 
     4*T1^11*T2^9 - T1^4*T2^10 + 2*T1^5*T2^10 + 25*T1^6*T2^10 - 
     34*T1^7*T2^10 + 9*T1^8*T2^10 - 34*T1^9*T2^10 + 25*T1^10*T2^10 + 
     2*T1^11*T2^10 - T1^12*T2^10 + T1^5*T2^11 - 6*T1^6*T2^11 + 2*T1^7*T2^11 + 
     4*T1^8*T2^11 + 4*T1^9*T2^11 + 2*T1^10*T2^11 - 6*T1^11*T2^11 + 
     T1^12*T2^11 + T1^7*T2^12 - T1^8*T2^12 - T1^10*T2^12 + T1^11*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 611] -> 
  {(2 - 9*T + 17*T^2 - 19*T^3 + 17*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (7 - 32*T1 + 60*T1^2 - 67*T1^3 + 60*T1^4 - 32*T1^5 + 7*T1^6 - 32*T2 + 
     114*T1*T2 - 128*T1^2*T2 + 32*T1^3*T2 + 32*T1^4*T2 - 128*T1^5*T2 + 
     114*T1^6*T2 - 32*T1^7*T2 + 60*T2^2 - 128*T1*T2^2 - 91*T1^2*T2^2 + 
     417*T1^3*T2^2 - 405*T1^4*T2^2 + 417*T1^5*T2^2 - 91*T1^6*T2^2 - 
     128*T1^7*T2^2 + 60*T1^8*T2^2 - 67*T2^3 + 32*T1*T2^3 + 417*T1^2*T2^3 - 
     628*T1^3*T2^3 + 126*T1^4*T2^3 + 126*T1^5*T2^3 - 628*T1^6*T2^3 + 
     417*T1^7*T2^3 + 32*T1^8*T2^3 - 67*T1^9*T2^3 + 60*T2^4 + 32*T1*T2^4 - 
     405*T1^2*T2^4 + 126*T1^3*T2^4 + 876*T1^4*T2^4 - 1064*T1^5*T2^4 + 
     876*T1^6*T2^4 + 126*T1^7*T2^4 - 405*T1^8*T2^4 + 32*T1^9*T2^4 + 
     60*T1^10*T2^4 - 32*T2^5 - 128*T1*T2^5 + 417*T1^2*T2^5 + 126*T1^3*T2^5 - 
     1064*T1^4*T2^5 + 540*T1^5*T2^5 + 540*T1^6*T2^5 - 1064*T1^7*T2^5 + 
     126*T1^8*T2^5 + 417*T1^9*T2^5 - 128*T1^10*T2^5 - 32*T1^11*T2^5 + 
     7*T2^6 + 114*T1*T2^6 - 91*T1^2*T2^6 - 628*T1^3*T2^6 + 876*T1^4*T2^6 + 
     540*T1^5*T2^6 - 1392*T1^6*T2^6 + 540*T1^7*T2^6 + 876*T1^8*T2^6 - 
     628*T1^9*T2^6 - 91*T1^10*T2^6 + 114*T1^11*T2^6 + 7*T1^12*T2^6 - 
     32*T1*T2^7 - 128*T1^2*T2^7 + 417*T1^3*T2^7 + 126*T1^4*T2^7 - 
     1064*T1^5*T2^7 + 540*T1^6*T2^7 + 540*T1^7*T2^7 - 1064*T1^8*T2^7 + 
     126*T1^9*T2^7 + 417*T1^10*T2^7 - 128*T1^11*T2^7 - 32*T1^12*T2^7 + 
     60*T1^2*T2^8 + 32*T1^3*T2^8 - 405*T1^4*T2^8 + 126*T1^5*T2^8 + 
     876*T1^6*T2^8 - 1064*T1^7*T2^8 + 876*T1^8*T2^8 + 126*T1^9*T2^8 - 
     405*T1^10*T2^8 + 32*T1^11*T2^8 + 60*T1^12*T2^8 - 67*T1^3*T2^9 + 
     32*T1^4*T2^9 + 417*T1^5*T2^9 - 628*T1^6*T2^9 + 126*T1^7*T2^9 + 
     126*T1^8*T2^9 - 628*T1^9*T2^9 + 417*T1^10*T2^9 + 32*T1^11*T2^9 - 
     67*T1^12*T2^9 + 60*T1^4*T2^10 - 128*T1^5*T2^10 - 91*T1^6*T2^10 + 
     417*T1^7*T2^10 - 405*T1^8*T2^10 + 417*T1^9*T2^10 - 91*T1^10*T2^10 - 
     128*T1^11*T2^10 + 60*T1^12*T2^10 - 32*T1^5*T2^11 + 114*T1^6*T2^11 - 
     128*T1^7*T2^11 + 32*T1^8*T2^11 + 32*T1^9*T2^11 - 128*T1^10*T2^11 + 
     114*T1^11*T2^11 - 32*T1^12*T2^11 + 7*T1^6*T2^12 - 32*T1^7*T2^12 + 
     60*T1^8*T2^12 - 67*T1^9*T2^12 + 60*T1^10*T2^12 - 32*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 612] -> 
  {(1 - 9*T + 23*T^2 - 29*T^3 + 23*T^4 - 9*T^5 + T^6)/T^3, 
   (1 - 9*T1 + 23*T1^2 - 29*T1^3 + 23*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
     74*T1*T2 - 125*T1^2*T2 + 49*T1^3*T2 + 49*T1^4*T2 - 125*T1^5*T2 + 
     74*T1^6*T2 - 9*T1^7*T2 + 23*T2^2 - 125*T1*T2^2 - 262*T1^2*T2^2 + 
     1182*T1^3*T2^2 - 1470*T1^4*T2^2 + 1182*T1^5*T2^2 - 262*T1^6*T2^2 - 
     125*T1^7*T2^2 + 23*T1^8*T2^2 - 29*T2^3 + 49*T1*T2^3 + 1182*T1^2*T2^3 - 
     2358*T1^3*T2^3 + 845*T1^4*T2^3 + 845*T1^5*T2^3 - 2358*T1^6*T2^3 + 
     1182*T1^7*T2^3 + 49*T1^8*T2^3 - 29*T1^9*T2^3 + 23*T2^4 + 49*T1*T2^4 - 
     1470*T1^2*T2^4 + 845*T1^3*T2^4 + 3350*T1^4*T2^4 - 4182*T1^5*T2^4 + 
     3350*T1^6*T2^4 + 845*T1^7*T2^4 - 1470*T1^8*T2^4 + 49*T1^9*T2^4 + 
     23*T1^10*T2^4 - 9*T2^5 - 125*T1*T2^5 + 1182*T1^2*T2^5 + 845*T1^3*T2^5 - 
     4182*T1^4*T2^5 + 1186*T1^5*T2^5 + 1186*T1^6*T2^5 - 4182*T1^7*T2^5 + 
     845*T1^8*T2^5 + 1182*T1^9*T2^5 - 125*T1^10*T2^5 - 9*T1^11*T2^5 + T2^6 + 
     74*T1*T2^6 - 262*T1^2*T2^6 - 2358*T1^3*T2^6 + 3350*T1^4*T2^6 + 
     1186*T1^5*T2^6 - 1440*T1^6*T2^6 + 1186*T1^7*T2^6 + 3350*T1^8*T2^6 - 
     2358*T1^9*T2^6 - 262*T1^10*T2^6 + 74*T1^11*T2^6 + T1^12*T2^6 - 
     9*T1*T2^7 - 125*T1^2*T2^7 + 1182*T1^3*T2^7 + 845*T1^4*T2^7 - 
     4182*T1^5*T2^7 + 1186*T1^6*T2^7 + 1186*T1^7*T2^7 - 4182*T1^8*T2^7 + 
     845*T1^9*T2^7 + 1182*T1^10*T2^7 - 125*T1^11*T2^7 - 9*T1^12*T2^7 + 
     23*T1^2*T2^8 + 49*T1^3*T2^8 - 1470*T1^4*T2^8 + 845*T1^5*T2^8 + 
     3350*T1^6*T2^8 - 4182*T1^7*T2^8 + 3350*T1^8*T2^8 + 845*T1^9*T2^8 - 
     1470*T1^10*T2^8 + 49*T1^11*T2^8 + 23*T1^12*T2^8 - 29*T1^3*T2^9 + 
     49*T1^4*T2^9 + 1182*T1^5*T2^9 - 2358*T1^6*T2^9 + 845*T1^7*T2^9 + 
     845*T1^8*T2^9 - 2358*T1^9*T2^9 + 1182*T1^10*T2^9 + 49*T1^11*T2^9 - 
     29*T1^12*T2^9 + 23*T1^4*T2^10 - 125*T1^5*T2^10 - 262*T1^6*T2^10 + 
     1182*T1^7*T2^10 - 1470*T1^8*T2^10 + 1182*T1^9*T2^10 - 262*T1^10*T2^10 - 
     125*T1^11*T2^10 + 23*T1^12*T2^10 - 9*T1^5*T2^11 + 74*T1^6*T2^11 - 
     125*T1^7*T2^11 + 49*T1^8*T2^11 + 49*T1^9*T2^11 - 125*T1^10*T2^11 + 
     74*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 
     23*T1^8*T2^12 - 29*T1^9*T2^12 + 23*T1^10*T2^12 - 9*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   (2*T1 - 5*T1^2 + 4*T1^3 - 5*T1^4 + 2*T1^5 + 2*T2 - 8*T1*T2 + 10*T1^3*T2 + 
     10*T1^4*T2 - 8*T1^6*T2 + 2*T1^7*T2 - 5*T2^2 + 22*T1^2*T2^2 + 
     73*T1^3*T2^2 - 170*T1^4*T2^2 + 73*T1^5*T2^2 + 22*T1^6*T2^2 - 
     5*T1^8*T2^2 + 4*T2^3 + 10*T1*T2^3 + 73*T1^2*T2^3 - 400*T1^3*T2^3 + 
     246*T1^4*T2^3 + 246*T1^5*T2^3 - 400*T1^6*T2^3 + 73*T1^7*T2^3 + 
     10*T1^8*T2^3 + 4*T1^9*T2^3 - 5*T2^4 + 10*T1*T2^4 - 170*T1^2*T2^4 + 
     246*T1^3*T2^4 + 791*T1^4*T2^4 - 1331*T1^5*T2^4 + 791*T1^6*T2^4 + 
     246*T1^7*T2^4 - 170*T1^8*T2^4 + 10*T1^9*T2^4 - 5*T1^10*T2^4 + 2*T2^5 + 
     73*T1^2*T2^5 + 246*T1^3*T2^5 - 1331*T1^4*T2^5 + 644*T1^5*T2^5 + 
     644*T1^6*T2^5 - 1331*T1^7*T2^5 + 246*T1^8*T2^5 + 73*T1^9*T2^5 + 
     2*T1^11*T2^5 - 8*T1*T2^6 + 22*T1^2*T2^6 - 400*T1^3*T2^6 + 
     791*T1^4*T2^6 + 644*T1^5*T2^6 - 1224*T1^6*T2^6 + 644*T1^7*T2^6 + 
     791*T1^8*T2^6 - 400*T1^9*T2^6 + 22*T1^10*T2^6 - 8*T1^11*T2^6 + 
     2*T1*T2^7 + 73*T1^3*T2^7 + 246*T1^4*T2^7 - 1331*T1^5*T2^7 + 
     644*T1^6*T2^7 + 644*T1^7*T2^7 - 1331*T1^8*T2^7 + 246*T1^9*T2^7 + 
     73*T1^10*T2^7 + 2*T1^12*T2^7 - 5*T1^2*T2^8 + 10*T1^3*T2^8 - 
     170*T1^4*T2^8 + 246*T1^5*T2^8 + 791*T1^6*T2^8 - 1331*T1^7*T2^8 + 
     791*T1^8*T2^8 + 246*T1^9*T2^8 - 170*T1^10*T2^8 + 10*T1^11*T2^8 - 
     5*T1^12*T2^8 + 4*T1^3*T2^9 + 10*T1^4*T2^9 + 73*T1^5*T2^9 - 
     400*T1^6*T2^9 + 246*T1^7*T2^9 + 246*T1^8*T2^9 - 400*T1^9*T2^9 + 
     73*T1^10*T2^9 + 10*T1^11*T2^9 + 4*T1^12*T2^9 - 5*T1^4*T2^10 + 
     22*T1^6*T2^10 + 73*T1^7*T2^10 - 170*T1^8*T2^10 + 73*T1^9*T2^10 + 
     22*T1^10*T2^10 - 5*T1^12*T2^10 + 2*T1^5*T2^11 - 8*T1^6*T2^11 + 
     10*T1^8*T2^11 + 10*T1^9*T2^11 - 8*T1^11*T2^11 + 2*T1^12*T2^11 + 
     2*T1^7*T2^12 - 5*T1^8*T2^12 + 4*T1^9*T2^12 - 5*T1^10*T2^12 + 
     2*T1^11*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 614] -> 
  {-((1 - 6*T + 17*T^2 - 25*T^3 + 17*T^4 - 6*T^5 + T^6)/T^3), 
   (T1 - 2*T1^2 - 2*T1^3 + T1^4 + T2 - 16*T1*T2 + 29*T1^2*T2 + 29*T1^4*T2 - 
     16*T1^5*T2 + T1^6*T2 - 2*T2^2 + 29*T1*T2^2 + 6*T1^2*T2^2 - 
     110*T1^3*T2^2 - 110*T1^4*T2^2 + 6*T1^5*T2^2 + 29*T1^6*T2^2 - 
     2*T1^7*T2^2 - 2*T2^3 - 110*T1^2*T2^3 + 39*T1^3*T2^3 + 609*T1^4*T2^3 + 
     39*T1^5*T2^3 - 110*T1^6*T2^3 - 2*T1^8*T2^3 + T2^4 + 29*T1*T2^4 - 
     110*T1^2*T2^4 + 609*T1^3*T2^4 - 962*T1^4*T2^4 - 962*T1^5*T2^4 + 
     609*T1^6*T2^4 - 110*T1^7*T2^4 + 29*T1^8*T2^4 + T1^9*T2^4 - 16*T1*T2^5 + 
     6*T1^2*T2^5 + 39*T1^3*T2^5 - 962*T1^4*T2^5 + 2928*T1^5*T2^5 - 
     962*T1^6*T2^5 + 39*T1^7*T2^5 + 6*T1^8*T2^5 - 16*T1^9*T2^5 + T1*T2^6 + 
     29*T1^2*T2^6 - 110*T1^3*T2^6 + 609*T1^4*T2^6 - 962*T1^5*T2^6 - 
     962*T1^6*T2^6 + 609*T1^7*T2^6 - 110*T1^8*T2^6 + 29*T1^9*T2^6 + 
     T1^10*T2^6 - 2*T1^2*T2^7 - 110*T1^4*T2^7 + 39*T1^5*T2^7 + 
     609*T1^6*T2^7 + 39*T1^7*T2^7 - 110*T1^8*T2^7 - 2*T1^10*T2^7 - 
     2*T1^3*T2^8 + 29*T1^4*T2^8 + 6*T1^5*T2^8 - 110*T1^6*T2^8 - 
     110*T1^7*T2^8 + 6*T1^8*T2^8 + 29*T1^9*T2^8 - 2*T1^10*T2^8 + T1^4*T2^9 - 
     16*T1^5*T2^9 + 29*T1^6*T2^9 + 29*T1^8*T2^9 - 16*T1^9*T2^9 + T1^10*T2^9 + 
     T1^6*T2^10 - 2*T1^7*T2^10 - 2*T1^8*T2^10 + T1^9*T2^10)/(T1^5*T2^5)}, 
 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), -((1 - 6*T1 + 15*T1^2 - 19*T1^3 + 17*T1^4 - 19*T1^5 + 15*T1^6 - 
      6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 54*T1^2*T2 + 24*T1^3*T2 + 
      12*T1^4*T2 + 12*T1^5*T2 + 24*T1^6*T2 - 54*T1^7*T2 + 30*T1^8*T2 - 
      6*T1^9*T2 + 15*T2^2 - 54*T1*T2^2 + 24*T1^2*T2^2 + 165*T1^3*T2^2 - 
      208*T1^4*T2^2 + 52*T1^5*T2^2 - 208*T1^6*T2^2 + 165*T1^7*T2^2 + 
      24*T1^8*T2^2 - 54*T1^9*T2^2 + 15*T1^10*T2^2 - 19*T2^3 + 24*T1*T2^3 + 
      165*T1^2*T2^3 - 464*T1^3*T2^3 + 157*T1^4*T2^3 + 236*T1^5*T2^3 + 
      236*T1^6*T2^3 + 157*T1^7*T2^3 - 464*T1^8*T2^3 + 165*T1^9*T2^3 + 
      24*T1^10*T2^3 - 19*T1^11*T2^3 + 17*T2^4 + 12*T1*T2^4 - 208*T1^2*T2^4 + 
      157*T1^3*T2^4 + 765*T1^4*T2^4 - 928*T1^5*T2^4 - 17*T1^6*T2^4 - 
      928*T1^7*T2^4 + 765*T1^8*T2^4 + 157*T1^9*T2^4 - 208*T1^10*T2^4 + 
      12*T1^11*T2^4 + 17*T1^12*T2^4 - 19*T2^5 + 12*T1*T2^5 + 52*T1^2*T2^5 + 
      236*T1^3*T2^5 - 928*T1^4*T2^5 + 266*T1^5*T2^5 + 626*T1^6*T2^5 + 
      626*T1^7*T2^5 + 266*T1^8*T2^5 - 928*T1^9*T2^5 + 236*T1^10*T2^5 + 
      52*T1^11*T2^5 + 12*T1^12*T2^5 - 19*T1^13*T2^5 + 15*T2^6 + 24*T1*T2^6 - 
      208*T1^2*T2^6 + 236*T1^3*T2^6 - 17*T1^4*T2^6 + 626*T1^5*T2^6 - 
      1096*T1^6*T2^6 + 438*T1^7*T2^6 - 1096*T1^8*T2^6 + 626*T1^9*T2^6 - 
      17*T1^10*T2^6 + 236*T1^11*T2^6 - 208*T1^12*T2^6 + 24*T1^13*T2^6 + 
      15*T1^14*T2^6 - 6*T2^7 - 54*T1*T2^7 + 165*T1^2*T2^7 + 157*T1^3*T2^7 - 
      928*T1^4*T2^7 + 626*T1^5*T2^7 + 438*T1^6*T2^7 - 286*T1^7*T2^7 - 
      286*T1^8*T2^7 + 438*T1^9*T2^7 + 626*T1^10*T2^7 - 928*T1^11*T2^7 + 
      157*T1^12*T2^7 + 165*T1^13*T2^7 - 54*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 
      30*T1*T2^8 + 24*T1^2*T2^8 - 464*T1^3*T2^8 + 765*T1^4*T2^8 + 
      266*T1^5*T2^8 - 1096*T1^6*T2^8 - 286*T1^7*T2^8 + 1380*T1^8*T2^8 - 
      286*T1^9*T2^8 - 1096*T1^10*T2^8 + 266*T1^11*T2^8 + 765*T1^12*T2^8 - 
      464*T1^13*T2^8 + 24*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 
      6*T1*T2^9 - 54*T1^2*T2^9 + 165*T1^3*T2^9 + 157*T1^4*T2^9 - 
      928*T1^5*T2^9 + 626*T1^6*T2^9 + 438*T1^7*T2^9 - 286*T1^8*T2^9 - 
      286*T1^9*T2^9 + 438*T1^10*T2^9 + 626*T1^11*T2^9 - 928*T1^12*T2^9 + 
      157*T1^13*T2^9 + 165*T1^14*T2^9 - 54*T1^15*T2^9 - 6*T1^16*T2^9 + 
      15*T1^2*T2^10 + 24*T1^3*T2^10 - 208*T1^4*T2^10 + 236*T1^5*T2^10 - 
      17*T1^6*T2^10 + 626*T1^7*T2^10 - 1096*T1^8*T2^10 + 438*T1^9*T2^10 - 
      1096*T1^10*T2^10 + 626*T1^11*T2^10 - 17*T1^12*T2^10 + 236*T1^13*T2^10 - 
      208*T1^14*T2^10 + 24*T1^15*T2^10 + 15*T1^16*T2^10 - 19*T1^3*T2^11 + 
      12*T1^4*T2^11 + 52*T1^5*T2^11 + 236*T1^6*T2^11 - 928*T1^7*T2^11 + 
      266*T1^8*T2^11 + 626*T1^9*T2^11 + 626*T1^10*T2^11 + 266*T1^11*T2^11 - 
      928*T1^12*T2^11 + 236*T1^13*T2^11 + 52*T1^14*T2^11 + 12*T1^15*T2^11 - 
      19*T1^16*T2^11 + 17*T1^4*T2^12 + 12*T1^5*T2^12 - 208*T1^6*T2^12 + 
      157*T1^7*T2^12 + 765*T1^8*T2^12 - 928*T1^9*T2^12 - 17*T1^10*T2^12 - 
      928*T1^11*T2^12 + 765*T1^12*T2^12 + 157*T1^13*T2^12 - 208*T1^14*T2^12 + 
      12*T1^15*T2^12 + 17*T1^16*T2^12 - 19*T1^5*T2^13 + 24*T1^6*T2^13 + 
      165*T1^7*T2^13 - 464*T1^8*T2^13 + 157*T1^9*T2^13 + 236*T1^10*T2^13 + 
      236*T1^11*T2^13 + 157*T1^12*T2^13 - 464*T1^13*T2^13 + 165*T1^14*T2^13 + 
      24*T1^15*T2^13 - 19*T1^16*T2^13 + 15*T1^6*T2^14 - 54*T1^7*T2^14 + 
      24*T1^8*T2^14 + 165*T1^9*T2^14 - 208*T1^10*T2^14 + 52*T1^11*T2^14 - 
      208*T1^12*T2^14 + 165*T1^13*T2^14 + 24*T1^14*T2^14 - 54*T1^15*T2^14 + 
      15*T1^16*T2^14 - 6*T1^7*T2^15 + 30*T1^8*T2^15 - 54*T1^9*T2^15 + 
      24*T1^10*T2^15 + 12*T1^11*T2^15 + 12*T1^12*T2^15 + 24*T1^13*T2^15 - 
      54*T1^14*T2^15 + 30*T1^15*T2^15 - 6*T1^16*T2^15 + T1^8*T2^16 - 
      6*T1^9*T2^16 + 15*T1^10*T2^16 - 19*T1^11*T2^16 + 17*T1^12*T2^16 - 
      19*T1^13*T2^16 + 15*T1^14*T2^16 - 6*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, NonAlternating, 616] -> 
  {-(((1 - 3*T + T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3), 
   (T1^2 + T1^3 + 4*T1*T2 - 22*T1^2*T2 + 14*T1^3*T2 - 22*T1^4*T2 + 
     4*T1^5*T2 + T2^2 - 22*T1*T2^2 + 74*T1^2*T2^2 + 5*T1^3*T2^2 + 
     5*T1^4*T2^2 + 74*T1^5*T2^2 - 22*T1^6*T2^2 + T1^7*T2^2 + T2^3 + 
     14*T1*T2^3 + 5*T1^2*T2^3 - 284*T1^3*T2^3 + 176*T1^4*T2^3 - 
     284*T1^5*T2^3 + 5*T1^6*T2^3 + 14*T1^7*T2^3 + T1^8*T2^3 - 22*T1*T2^4 + 
     5*T1^2*T2^4 + 176*T1^3*T2^4 + 172*T1^4*T2^4 + 172*T1^5*T2^4 + 
     176*T1^6*T2^4 + 5*T1^7*T2^4 - 22*T1^8*T2^4 + 4*T1*T2^5 + 74*T1^2*T2^5 - 
     284*T1^3*T2^5 + 172*T1^4*T2^5 - 744*T1^5*T2^5 + 172*T1^6*T2^5 - 
     284*T1^7*T2^5 + 74*T1^8*T2^5 + 4*T1^9*T2^5 - 22*T1^2*T2^6 + 
     5*T1^3*T2^6 + 176*T1^4*T2^6 + 172*T1^5*T2^6 + 172*T1^6*T2^6 + 
     176*T1^7*T2^6 + 5*T1^8*T2^6 - 22*T1^9*T2^6 + T1^2*T2^7 + 14*T1^3*T2^7 + 
     5*T1^4*T2^7 - 284*T1^5*T2^7 + 176*T1^6*T2^7 - 284*T1^7*T2^7 + 
     5*T1^8*T2^7 + 14*T1^9*T2^7 + T1^10*T2^7 + T1^3*T2^8 - 22*T1^4*T2^8 + 
     74*T1^5*T2^8 + 5*T1^6*T2^8 + 5*T1^7*T2^8 + 74*T1^8*T2^8 - 22*T1^9*T2^8 + 
     T1^10*T2^8 + 4*T1^5*T2^9 - 22*T1^6*T2^9 + 14*T1^7*T2^9 - 22*T1^8*T2^9 + 
     4*T1^9*T2^9 + T1^7*T2^10 + T1^8*T2^10)/(T1^5*T2^5)}, 
 Knot[12, NonAlternating, 617] -> {-(((1 - 3*T + T^2)*(1 - T^2 + T^4))/T^3), 
   (2 - 6*T1 + 6*T1^3 - 6*T1^5 + 2*T1^6 - 6*T2 + 12*T1*T2 + 18*T1^2*T2 - 
     18*T1^3*T2 - 18*T1^4*T2 + 18*T1^5*T2 + 12*T1^6*T2 - 6*T1^7*T2 + 
     18*T1*T2^2 - 49*T1^2*T2^2 - 6*T1^3*T2^2 + 59*T1^4*T2^2 - 6*T1^5*T2^2 - 
     49*T1^6*T2^2 + 18*T1^7*T2^2 + 6*T2^3 - 18*T1*T2^3 - 6*T1^2*T2^3 + 
     26*T1^3*T2^3 - 18*T1^4*T2^3 - 18*T1^5*T2^3 + 26*T1^6*T2^3 - 
     6*T1^7*T2^3 - 18*T1^8*T2^3 + 6*T1^9*T2^3 - 18*T1*T2^4 + 59*T1^2*T2^4 - 
     18*T1^3*T2^4 - 13*T1^4*T2^4 + 25*T1^5*T2^4 - 13*T1^6*T2^4 - 
     18*T1^7*T2^4 + 59*T1^8*T2^4 - 18*T1^9*T2^4 - 6*T2^5 + 18*T1*T2^5 - 
     6*T1^2*T2^5 - 18*T1^3*T2^5 + 25*T1^4*T2^5 - 14*T1^5*T2^5 - 
     14*T1^6*T2^5 + 25*T1^7*T2^5 - 18*T1^8*T2^5 - 6*T1^9*T2^5 + 
     18*T1^10*T2^5 - 6*T1^11*T2^5 + 2*T2^6 + 12*T1*T2^6 - 49*T1^2*T2^6 + 
     26*T1^3*T2^6 - 13*T1^4*T2^6 - 14*T1^5*T2^6 + 36*T1^6*T2^6 - 
     14*T1^7*T2^6 - 13*T1^8*T2^6 + 26*T1^9*T2^6 - 49*T1^10*T2^6 + 
     12*T1^11*T2^6 + 2*T1^12*T2^6 - 6*T1*T2^7 + 18*T1^2*T2^7 - 6*T1^3*T2^7 - 
     18*T1^4*T2^7 + 25*T1^5*T2^7 - 14*T1^6*T2^7 - 14*T1^7*T2^7 + 
     25*T1^8*T2^7 - 18*T1^9*T2^7 - 6*T1^10*T2^7 + 18*T1^11*T2^7 - 
     6*T1^12*T2^7 - 18*T1^3*T2^8 + 59*T1^4*T2^8 - 18*T1^5*T2^8 - 
     13*T1^6*T2^8 + 25*T1^7*T2^8 - 13*T1^8*T2^8 - 18*T1^9*T2^8 + 
     59*T1^10*T2^8 - 18*T1^11*T2^8 + 6*T1^3*T2^9 - 18*T1^4*T2^9 - 
     6*T1^5*T2^9 + 26*T1^6*T2^9 - 18*T1^7*T2^9 - 18*T1^8*T2^9 + 
     26*T1^9*T2^9 - 6*T1^10*T2^9 - 18*T1^11*T2^9 + 6*T1^12*T2^9 + 
     18*T1^5*T2^10 - 49*T1^6*T2^10 - 6*T1^7*T2^10 + 59*T1^8*T2^10 - 
     6*T1^9*T2^10 - 49*T1^10*T2^10 + 18*T1^11*T2^10 - 6*T1^5*T2^11 + 
     12*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 - 6*T1^12*T2^11 + 2*T1^6*T2^12 - 
     6*T1^7*T2^12 + 6*T1^9*T2^12 - 6*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^6*T2^6)}, 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), -((1 - 6*T1 + 15*T1^2 - 21*T1^3 + 21*T1^4 - 21*T1^5 + 15*T1^6 - 
      6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 54*T1^2*T2 + 36*T1^3*T2 + 
      36*T1^6*T2 - 54*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 15*T2^2 - 
      54*T1*T2^2 + 24*T1^2*T2^2 + 136*T1^3*T2^2 - 219*T1^4*T2^2 + 
      132*T1^5*T2^2 - 219*T1^6*T2^2 + 136*T1^7*T2^2 + 24*T1^8*T2^2 - 
      54*T1^9*T2^2 + 15*T1^10*T2^2 - 21*T2^3 + 36*T1*T2^3 + 136*T1^2*T2^3 - 
      396*T1^3*T2^3 + 235*T1^4*T2^3 + 109*T1^5*T2^3 + 109*T1^6*T2^3 + 
      235*T1^7*T2^3 - 396*T1^8*T2^3 + 136*T1^9*T2^3 + 36*T1^10*T2^3 - 
      21*T1^11*T2^3 + 21*T2^4 - 219*T1^2*T2^4 + 235*T1^3*T2^4 + 
      437*T1^4*T2^4 - 780*T1^5*T2^4 + 221*T1^6*T2^4 - 780*T1^7*T2^4 + 
      437*T1^8*T2^4 + 235*T1^9*T2^4 - 219*T1^10*T2^4 + 21*T1^12*T2^4 - 
      21*T2^5 + 132*T1^2*T2^5 + 109*T1^3*T2^5 - 780*T1^4*T2^5 + 
      528*T1^5*T2^5 + 291*T1^6*T2^5 + 291*T1^7*T2^5 + 528*T1^8*T2^5 - 
      780*T1^9*T2^5 + 109*T1^10*T2^5 + 132*T1^11*T2^5 - 21*T1^13*T2^5 + 
      15*T2^6 + 36*T1*T2^6 - 219*T1^2*T2^6 + 109*T1^3*T2^6 + 221*T1^4*T2^6 + 
      291*T1^5*T2^6 - 965*T1^6*T2^6 + 545*T1^7*T2^6 - 965*T1^8*T2^6 + 
      291*T1^9*T2^6 + 221*T1^10*T2^6 + 109*T1^11*T2^6 - 219*T1^12*T2^6 + 
      36*T1^13*T2^6 + 15*T1^14*T2^6 - 6*T2^7 - 54*T1*T2^7 + 136*T1^2*T2^7 + 
      235*T1^3*T2^7 - 780*T1^4*T2^7 + 291*T1^5*T2^7 + 545*T1^6*T2^7 - 
      196*T1^7*T2^7 - 196*T1^8*T2^7 + 545*T1^9*T2^7 + 291*T1^10*T2^7 - 
      780*T1^11*T2^7 + 235*T1^12*T2^7 + 136*T1^13*T2^7 - 54*T1^14*T2^7 - 
      6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 24*T1^2*T2^8 - 396*T1^3*T2^8 + 
      437*T1^4*T2^8 + 528*T1^5*T2^8 - 965*T1^6*T2^8 - 196*T1^7*T2^8 + 
      804*T1^8*T2^8 - 196*T1^9*T2^8 - 965*T1^10*T2^8 + 528*T1^11*T2^8 + 
      437*T1^12*T2^8 - 396*T1^13*T2^8 + 24*T1^14*T2^8 + 30*T1^15*T2^8 + 
      T1^16*T2^8 - 6*T1*T2^9 - 54*T1^2*T2^9 + 136*T1^3*T2^9 + 235*T1^4*T2^9 - 
      780*T1^5*T2^9 + 291*T1^6*T2^9 + 545*T1^7*T2^9 - 196*T1^8*T2^9 - 
      196*T1^9*T2^9 + 545*T1^10*T2^9 + 291*T1^11*T2^9 - 780*T1^12*T2^9 + 
      235*T1^13*T2^9 + 136*T1^14*T2^9 - 54*T1^15*T2^9 - 6*T1^16*T2^9 + 
      15*T1^2*T2^10 + 36*T1^3*T2^10 - 219*T1^4*T2^10 + 109*T1^5*T2^10 + 
      221*T1^6*T2^10 + 291*T1^7*T2^10 - 965*T1^8*T2^10 + 545*T1^9*T2^10 - 
      965*T1^10*T2^10 + 291*T1^11*T2^10 + 221*T1^12*T2^10 + 109*T1^13*T2^10 - 
      219*T1^14*T2^10 + 36*T1^15*T2^10 + 15*T1^16*T2^10 - 21*T1^3*T2^11 + 
      132*T1^5*T2^11 + 109*T1^6*T2^11 - 780*T1^7*T2^11 + 528*T1^8*T2^11 + 
      291*T1^9*T2^11 + 291*T1^10*T2^11 + 528*T1^11*T2^11 - 780*T1^12*T2^11 + 
      109*T1^13*T2^11 + 132*T1^14*T2^11 - 21*T1^16*T2^11 + 21*T1^4*T2^12 - 
      219*T1^6*T2^12 + 235*T1^7*T2^12 + 437*T1^8*T2^12 - 780*T1^9*T2^12 + 
      221*T1^10*T2^12 - 780*T1^11*T2^12 + 437*T1^12*T2^12 + 235*T1^13*T2^12 - 
      219*T1^14*T2^12 + 21*T1^16*T2^12 - 21*T1^5*T2^13 + 36*T1^6*T2^13 + 
      136*T1^7*T2^13 - 396*T1^8*T2^13 + 235*T1^9*T2^13 + 109*T1^10*T2^13 + 
      109*T1^11*T2^13 + 235*T1^12*T2^13 - 396*T1^13*T2^13 + 136*T1^14*T2^13 + 
      36*T1^15*T2^13 - 21*T1^16*T2^13 + 15*T1^6*T2^14 - 54*T1^7*T2^14 + 
      24*T1^8*T2^14 + 136*T1^9*T2^14 - 219*T1^10*T2^14 + 132*T1^11*T2^14 - 
      219*T1^12*T2^14 + 136*T1^13*T2^14 + 24*T1^14*T2^14 - 54*T1^15*T2^14 + 
      15*T1^16*T2^14 - 6*T1^7*T2^15 + 30*T1^8*T2^15 - 54*T1^9*T2^15 + 
      36*T1^10*T2^15 + 36*T1^13*T2^15 - 54*T1^14*T2^15 + 30*T1^15*T2^15 - 
      6*T1^16*T2^15 + T1^8*T2^16 - 6*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 - 
      6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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 + 60*T1*T2 - 96*T1^2*T2 + 12*T1^3*T2 + 24*T1^4*T2 + 
      24*T1^5*T2 + 12*T1^6*T2 - 96*T1^7*T2 + 60*T1^8*T2 - 12*T1^9*T2 + 
      28*T2^2 - 96*T1*T2^2 - 13*T1^2*T2^2 + 423*T1^3*T2^2 - 330*T1^4*T2^2 + 
      103*T1^5*T2^2 - 330*T1^6*T2^2 + 423*T1^7*T2^2 - 13*T1^8*T2^2 - 
      96*T1^9*T2^2 + 28*T1^10*T2^2 - 30*T2^3 + 12*T1*T2^3 + 423*T1^2*T2^3 - 
      920*T1^3*T2^3 - 42*T1^4*T2^3 + 367*T1^5*T2^3 + 367*T1^6*T2^3 - 
      42*T1^7*T2^3 - 920*T1^8*T2^3 + 423*T1^9*T2^3 + 12*T1^10*T2^3 - 
      30*T1^11*T2^3 + 26*T2^4 + 24*T1*T2^4 - 330*T1^2*T2^4 - 42*T1^3*T2^4 + 
      2004*T1^4*T2^4 - 1492*T1^5*T2^4 + 336*T1^6*T2^4 - 1492*T1^7*T2^4 + 
      2004*T1^8*T2^4 - 42*T1^9*T2^4 - 330*T1^10*T2^4 + 24*T1^11*T2^4 + 
      26*T1^12*T2^4 - 30*T2^5 + 24*T1*T2^5 + 103*T1^2*T2^5 + 367*T1^3*T2^5 - 
      1492*T1^4*T2^5 - 208*T1^5*T2^5 + 766*T1^6*T2^5 + 766*T1^7*T2^5 - 
      208*T1^8*T2^5 - 1492*T1^9*T2^5 + 367*T1^10*T2^5 + 103*T1^11*T2^5 + 
      24*T1^12*T2^5 - 30*T1^13*T2^5 + 28*T2^6 + 12*T1*T2^6 - 330*T1^2*T2^6 + 
      367*T1^3*T2^6 + 336*T1^4*T2^6 + 766*T1^5*T2^6 - 631*T1^6*T2^6 - 
      89*T1^7*T2^6 - 631*T1^8*T2^6 + 766*T1^9*T2^6 + 336*T1^10*T2^6 + 
      367*T1^11*T2^6 - 330*T1^12*T2^6 + 12*T1^13*T2^6 + 28*T1^14*T2^6 - 
      12*T2^7 - 96*T1*T2^7 + 423*T1^2*T2^7 - 42*T1^3*T2^7 - 1492*T1^4*T2^7 + 
      766*T1^5*T2^7 - 89*T1^6*T2^7 + 24*T1^7*T2^7 + 24*T1^8*T2^7 - 
      89*T1^9*T2^7 + 766*T1^10*T2^7 - 1492*T1^11*T2^7 - 42*T1^12*T2^7 + 
      423*T1^13*T2^7 - 96*T1^14*T2^7 - 12*T1^15*T2^7 + 2*T2^8 + 60*T1*T2^8 - 
      13*T1^2*T2^8 - 920*T1^3*T2^8 + 2004*T1^4*T2^8 - 208*T1^5*T2^8 - 
      631*T1^6*T2^8 + 24*T1^7*T2^8 + 420*T1^8*T2^8 + 24*T1^9*T2^8 - 
      631*T1^10*T2^8 - 208*T1^11*T2^8 + 2004*T1^12*T2^8 - 920*T1^13*T2^8 - 
      13*T1^14*T2^8 + 60*T1^15*T2^8 + 2*T1^16*T2^8 - 12*T1*T2^9 - 
      96*T1^2*T2^9 + 423*T1^3*T2^9 - 42*T1^4*T2^9 - 1492*T1^5*T2^9 + 
      766*T1^6*T2^9 - 89*T1^7*T2^9 + 24*T1^8*T2^9 + 24*T1^9*T2^9 - 
      89*T1^10*T2^9 + 766*T1^11*T2^9 - 1492*T1^12*T2^9 - 42*T1^13*T2^9 + 
      423*T1^14*T2^9 - 96*T1^15*T2^9 - 12*T1^16*T2^9 + 28*T1^2*T2^10 + 
      12*T1^3*T2^10 - 330*T1^4*T2^10 + 367*T1^5*T2^10 + 336*T1^6*T2^10 + 
      766*T1^7*T2^10 - 631*T1^8*T2^10 - 89*T1^9*T2^10 - 631*T1^10*T2^10 + 
      766*T1^11*T2^10 + 336*T1^12*T2^10 + 367*T1^13*T2^10 - 330*T1^14*T2^10 + 
      12*T1^15*T2^10 + 28*T1^16*T2^10 - 30*T1^3*T2^11 + 24*T1^4*T2^11 + 
      103*T1^5*T2^11 + 367*T1^6*T2^11 - 1492*T1^7*T2^11 - 208*T1^8*T2^11 + 
      766*T1^9*T2^11 + 766*T1^10*T2^11 - 208*T1^11*T2^11 - 1492*T1^12*T2^11 + 
      367*T1^13*T2^11 + 103*T1^14*T2^11 + 24*T1^15*T2^11 - 30*T1^16*T2^11 + 
      26*T1^4*T2^12 + 24*T1^5*T2^12 - 330*T1^6*T2^12 - 42*T1^7*T2^12 + 
      2004*T1^8*T2^12 - 1492*T1^9*T2^12 + 336*T1^10*T2^12 - 
      1492*T1^11*T2^12 + 2004*T1^12*T2^12 - 42*T1^13*T2^12 - 
      330*T1^14*T2^12 + 24*T1^15*T2^12 + 26*T1^16*T2^12 - 30*T1^5*T2^13 + 
      12*T1^6*T2^13 + 423*T1^7*T2^13 - 920*T1^8*T2^13 - 42*T1^9*T2^13 + 
      367*T1^10*T2^13 + 367*T1^11*T2^13 - 42*T1^12*T2^13 - 920*T1^13*T2^13 + 
      423*T1^14*T2^13 + 12*T1^15*T2^13 - 30*T1^16*T2^13 + 28*T1^6*T2^14 - 
      96*T1^7*T2^14 - 13*T1^8*T2^14 + 423*T1^9*T2^14 - 330*T1^10*T2^14 + 
      103*T1^11*T2^14 - 330*T1^12*T2^14 + 423*T1^13*T2^14 - 13*T1^14*T2^14 - 
      96*T1^15*T2^14 + 28*T1^16*T2^14 - 12*T1^7*T2^15 + 60*T1^8*T2^15 - 
      96*T1^9*T2^15 + 12*T1^10*T2^15 + 24*T1^11*T2^15 + 24*T1^12*T2^15 + 
      12*T1^13*T2^15 - 96*T1^14*T2^15 + 60*T1^15*T2^15 - 12*T1^16*T2^15 + 
      2*T1^8*T2^16 - 12*T1^9*T2^16 + 28*T1^10*T2^16 - 30*T1^11*T2^16 + 
      26*T1^12*T2^16 - 30*T1^13*T2^16 + 28*T1^14*T2^16 - 12*T1^15*T2^16 + 
      2*T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, NonAlternating, 620] -> 
  {(2 - 13*T + 34*T^2 - 45*T^3 + 34*T^4 - 13*T^5 + 2*T^6)/T^3, 
   (9 - 59*T1 + 155*T1^2 - 205*T1^3 + 155*T1^4 - 59*T1^5 + 9*T1^6 - 59*T2 + 
     328*T1*T2 - 631*T1^2*T2 + 327*T1^3*T2 + 327*T1^4*T2 - 631*T1^5*T2 + 
     328*T1^6*T2 - 59*T1^7*T2 + 155*T2^2 - 631*T1*T2^2 + 321*T1^2*T2^2 + 
     2027*T1^3*T2^2 - 3327*T1^4*T2^2 + 2027*T1^5*T2^2 + 321*T1^6*T2^2 - 
     631*T1^7*T2^2 + 155*T1^8*T2^2 - 205*T2^3 + 327*T1*T2^3 + 
     2027*T1^2*T2^3 - 6156*T1^3*T2^3 + 3292*T1^4*T2^3 + 3292*T1^5*T2^3 - 
     6156*T1^6*T2^3 + 2027*T1^7*T2^3 + 327*T1^8*T2^3 - 205*T1^9*T2^3 + 
     155*T2^4 + 327*T1*T2^4 - 3327*T1^2*T2^4 + 3292*T1^3*T2^4 + 
     9048*T1^4*T2^4 - 15778*T1^5*T2^4 + 9048*T1^6*T2^4 + 3292*T1^7*T2^4 - 
     3327*T1^8*T2^4 + 327*T1^9*T2^4 + 155*T1^10*T2^4 - 59*T2^5 - 
     631*T1*T2^5 + 2027*T1^2*T2^5 + 3292*T1^3*T2^5 - 15778*T1^4*T2^5 + 
     8610*T1^5*T2^5 + 8610*T1^6*T2^5 - 15778*T1^7*T2^5 + 3292*T1^8*T2^5 + 
     2027*T1^9*T2^5 - 631*T1^10*T2^5 - 59*T1^11*T2^5 + 9*T2^6 + 328*T1*T2^6 + 
     321*T1^2*T2^6 - 6156*T1^3*T2^6 + 9048*T1^4*T2^6 + 8610*T1^5*T2^6 - 
     18432*T1^6*T2^6 + 8610*T1^7*T2^6 + 9048*T1^8*T2^6 - 6156*T1^9*T2^6 + 
     321*T1^10*T2^6 + 328*T1^11*T2^6 + 9*T1^12*T2^6 - 59*T1*T2^7 - 
     631*T1^2*T2^7 + 2027*T1^3*T2^7 + 3292*T1^4*T2^7 - 15778*T1^5*T2^7 + 
     8610*T1^6*T2^7 + 8610*T1^7*T2^7 - 15778*T1^8*T2^7 + 3292*T1^9*T2^7 + 
     2027*T1^10*T2^7 - 631*T1^11*T2^7 - 59*T1^12*T2^7 + 155*T1^2*T2^8 + 
     327*T1^3*T2^8 - 3327*T1^4*T2^8 + 3292*T1^5*T2^8 + 9048*T1^6*T2^8 - 
     15778*T1^7*T2^8 + 9048*T1^8*T2^8 + 3292*T1^9*T2^8 - 3327*T1^10*T2^8 + 
     327*T1^11*T2^8 + 155*T1^12*T2^8 - 205*T1^3*T2^9 + 327*T1^4*T2^9 + 
     2027*T1^5*T2^9 - 6156*T1^6*T2^9 + 3292*T1^7*T2^9 + 3292*T1^8*T2^9 - 
     6156*T1^9*T2^9 + 2027*T1^10*T2^9 + 327*T1^11*T2^9 - 205*T1^12*T2^9 + 
     155*T1^4*T2^10 - 631*T1^5*T2^10 + 321*T1^6*T2^10 + 2027*T1^7*T2^10 - 
     3327*T1^8*T2^10 + 2027*T1^9*T2^10 + 321*T1^10*T2^10 - 631*T1^11*T2^10 + 
     155*T1^12*T2^10 - 59*T1^5*T2^11 + 328*T1^6*T2^11 - 631*T1^7*T2^11 + 
     327*T1^8*T2^11 + 327*T1^9*T2^11 - 631*T1^10*T2^11 + 328*T1^11*T2^11 - 
     59*T1^12*T2^11 + 9*T1^6*T2^12 - 59*T1^7*T2^12 + 155*T1^8*T2^12 - 
     205*T1^9*T2^12 + 155*T1^10*T2^12 - 59*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 621] -> 
  {(1 - 7*T + 23*T^2 - 33*T^3 + 23*T^4 - 7*T^5 + T^6)/T^3, 
   -((1 - 7*T1 + 23*T1^2 - 33*T1^3 + 23*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 114*T1^2*T2 + 71*T1^3*T2 + 71*T1^4*T2 - 114*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 23*T2^2 - 114*T1*T2^2 + 245*T1^2*T2^2 + 
      180*T1^3*T2^2 - 539*T1^4*T2^2 + 180*T1^5*T2^2 + 245*T1^6*T2^2 - 
      114*T1^7*T2^2 + 23*T1^8*T2^2 - 33*T2^3 + 71*T1*T2^3 + 180*T1^2*T2^3 - 
      1730*T1^3*T2^3 + 1218*T1^4*T2^3 + 1218*T1^5*T2^3 - 1730*T1^6*T2^3 + 
      180*T1^7*T2^3 + 71*T1^8*T2^3 - 33*T1^9*T2^3 + 23*T2^4 + 71*T1*T2^4 - 
      539*T1^2*T2^4 + 1218*T1^3*T2^4 + 4530*T1^4*T2^4 - 8952*T1^5*T2^4 + 
      4530*T1^6*T2^4 + 1218*T1^7*T2^4 - 539*T1^8*T2^4 + 71*T1^9*T2^4 + 
      23*T1^10*T2^4 - 7*T2^5 - 114*T1*T2^5 + 180*T1^2*T2^5 + 1218*T1^3*T2^5 - 
      8952*T1^4*T2^5 + 6172*T1^5*T2^5 + 6172*T1^6*T2^5 - 8952*T1^7*T2^5 + 
      1218*T1^8*T2^5 + 180*T1^9*T2^5 - 114*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 + 245*T1^2*T2^6 - 1730*T1^3*T2^6 + 4530*T1^4*T2^6 + 
      6172*T1^5*T2^6 - 14868*T1^6*T2^6 + 6172*T1^7*T2^6 + 4530*T1^8*T2^6 - 
      1730*T1^9*T2^6 + 245*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 114*T1^2*T2^7 + 180*T1^3*T2^7 + 1218*T1^4*T2^7 - 
      8952*T1^5*T2^7 + 6172*T1^6*T2^7 + 6172*T1^7*T2^7 - 8952*T1^8*T2^7 + 
      1218*T1^9*T2^7 + 180*T1^10*T2^7 - 114*T1^11*T2^7 - 7*T1^12*T2^7 + 
      23*T1^2*T2^8 + 71*T1^3*T2^8 - 539*T1^4*T2^8 + 1218*T1^5*T2^8 + 
      4530*T1^6*T2^8 - 8952*T1^7*T2^8 + 4530*T1^8*T2^8 + 1218*T1^9*T2^8 - 
      539*T1^10*T2^8 + 71*T1^11*T2^8 + 23*T1^12*T2^8 - 33*T1^3*T2^9 + 
      71*T1^4*T2^9 + 180*T1^5*T2^9 - 1730*T1^6*T2^9 + 1218*T1^7*T2^9 + 
      1218*T1^8*T2^9 - 1730*T1^9*T2^9 + 180*T1^10*T2^9 + 71*T1^11*T2^9 - 
      33*T1^12*T2^9 + 23*T1^4*T2^10 - 114*T1^5*T2^10 + 245*T1^6*T2^10 + 
      180*T1^7*T2^10 - 539*T1^8*T2^10 + 180*T1^9*T2^10 + 245*T1^10*T2^10 - 
      114*T1^11*T2^10 + 23*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      114*T1^7*T2^11 + 71*T1^8*T2^11 + 71*T1^9*T2^11 - 114*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      23*T1^8*T2^12 - 33*T1^9*T2^12 + 23*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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), -((1 - 6*T1 + 14*T1^2 - 19*T1^3 + 19*T1^4 - 19*T1^5 + 14*T1^6 - 
      6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 48*T1^2*T2 + 30*T1^3*T2 + 
      30*T1^6*T2 - 48*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 14*T2^2 - 
      48*T1*T2^2 - 7*T1^2*T2^2 + 157*T1^3*T2^2 - 223*T1^4*T2^2 + 
      151*T1^5*T2^2 - 223*T1^6*T2^2 + 157*T1^7*T2^2 - 7*T1^8*T2^2 - 
      48*T1^9*T2^2 + 14*T1^10*T2^2 - 19*T2^3 + 30*T1*T2^3 + 157*T1^2*T2^3 - 
      340*T1^3*T2^3 + 175*T1^4*T2^3 + 92*T1^5*T2^3 + 92*T1^6*T2^3 + 
      175*T1^7*T2^3 - 340*T1^8*T2^3 + 157*T1^9*T2^3 + 30*T1^10*T2^3 - 
      19*T1^11*T2^3 + 19*T2^4 - 223*T1^2*T2^4 + 175*T1^3*T2^4 + 
      326*T1^4*T2^4 - 529*T1^5*T2^4 + 98*T1^6*T2^4 - 529*T1^7*T2^4 + 
      326*T1^8*T2^4 + 175*T1^9*T2^4 - 223*T1^10*T2^4 + 19*T1^12*T2^4 - 
      19*T2^5 + 151*T1^2*T2^5 + 92*T1^3*T2^5 - 529*T1^4*T2^5 + 
      330*T1^5*T2^5 + 213*T1^6*T2^5 + 213*T1^7*T2^5 + 330*T1^8*T2^5 - 
      529*T1^9*T2^5 + 92*T1^10*T2^5 + 151*T1^11*T2^5 - 19*T1^13*T2^5 + 
      14*T2^6 + 30*T1*T2^6 - 223*T1^2*T2^6 + 92*T1^3*T2^6 + 98*T1^4*T2^6 + 
      213*T1^5*T2^6 - 646*T1^6*T2^6 + 408*T1^7*T2^6 - 646*T1^8*T2^6 + 
      213*T1^9*T2^6 + 98*T1^10*T2^6 + 92*T1^11*T2^6 - 223*T1^12*T2^6 + 
      30*T1^13*T2^6 + 14*T1^14*T2^6 - 6*T2^7 - 48*T1*T2^7 + 157*T1^2*T2^7 + 
      175*T1^3*T2^7 - 529*T1^4*T2^7 + 213*T1^5*T2^7 + 408*T1^6*T2^7 - 
      214*T1^7*T2^7 - 214*T1^8*T2^7 + 408*T1^9*T2^7 + 213*T1^10*T2^7 - 
      529*T1^11*T2^7 + 175*T1^12*T2^7 + 157*T1^13*T2^7 - 48*T1^14*T2^7 - 
      6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 - 7*T1^2*T2^8 - 340*T1^3*T2^8 + 
      326*T1^4*T2^8 + 330*T1^5*T2^8 - 646*T1^6*T2^8 - 214*T1^7*T2^8 + 
      792*T1^8*T2^8 - 214*T1^9*T2^8 - 646*T1^10*T2^8 + 330*T1^11*T2^8 + 
      326*T1^12*T2^8 - 340*T1^13*T2^8 - 7*T1^14*T2^8 + 30*T1^15*T2^8 + 
      T1^16*T2^8 - 6*T1*T2^9 - 48*T1^2*T2^9 + 157*T1^3*T2^9 + 175*T1^4*T2^9 - 
      529*T1^5*T2^9 + 213*T1^6*T2^9 + 408*T1^7*T2^9 - 214*T1^8*T2^9 - 
      214*T1^9*T2^9 + 408*T1^10*T2^9 + 213*T1^11*T2^9 - 529*T1^12*T2^9 + 
      175*T1^13*T2^9 + 157*T1^14*T2^9 - 48*T1^15*T2^9 - 6*T1^16*T2^9 + 
      14*T1^2*T2^10 + 30*T1^3*T2^10 - 223*T1^4*T2^10 + 92*T1^5*T2^10 + 
      98*T1^6*T2^10 + 213*T1^7*T2^10 - 646*T1^8*T2^10 + 408*T1^9*T2^10 - 
      646*T1^10*T2^10 + 213*T1^11*T2^10 + 98*T1^12*T2^10 + 92*T1^13*T2^10 - 
      223*T1^14*T2^10 + 30*T1^15*T2^10 + 14*T1^16*T2^10 - 19*T1^3*T2^11 + 
      151*T1^5*T2^11 + 92*T1^6*T2^11 - 529*T1^7*T2^11 + 330*T1^8*T2^11 + 
      213*T1^9*T2^11 + 213*T1^10*T2^11 + 330*T1^11*T2^11 - 529*T1^12*T2^11 + 
      92*T1^13*T2^11 + 151*T1^14*T2^11 - 19*T1^16*T2^11 + 19*T1^4*T2^12 - 
      223*T1^6*T2^12 + 175*T1^7*T2^12 + 326*T1^8*T2^12 - 529*T1^9*T2^12 + 
      98*T1^10*T2^12 - 529*T1^11*T2^12 + 326*T1^12*T2^12 + 175*T1^13*T2^12 - 
      223*T1^14*T2^12 + 19*T1^16*T2^12 - 19*T1^5*T2^13 + 30*T1^6*T2^13 + 
      157*T1^7*T2^13 - 340*T1^8*T2^13 + 175*T1^9*T2^13 + 92*T1^10*T2^13 + 
      92*T1^11*T2^13 + 175*T1^12*T2^13 - 340*T1^13*T2^13 + 157*T1^14*T2^13 + 
      30*T1^15*T2^13 - 19*T1^16*T2^13 + 14*T1^6*T2^14 - 48*T1^7*T2^14 - 
      7*T1^8*T2^14 + 157*T1^9*T2^14 - 223*T1^10*T2^14 + 151*T1^11*T2^14 - 
      223*T1^12*T2^14 + 157*T1^13*T2^14 - 7*T1^14*T2^14 - 48*T1^15*T2^14 + 
      14*T1^16*T2^14 - 6*T1^7*T2^15 + 30*T1^8*T2^15 - 48*T1^9*T2^15 + 
      30*T1^10*T2^15 + 30*T1^13*T2^15 - 48*T1^14*T2^15 + 30*T1^15*T2^15 - 
      6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 14*T1^10*T2^16 - 
      19*T1^11*T2^16 + 19*T1^12*T2^16 - 19*T1^13*T2^16 + 14*T1^14*T2^16 - 
      6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   (2 - 10*T1 + 20*T1^2 - 16*T1^3 + 10*T1^4 - 16*T1^5 + 20*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 50*T1^2*T2 - 20*T1^3*T2 + 30*T1^4*T2 + 
     30*T1^5*T2 - 20*T1^6*T2 - 50*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     20*T2^2 - 50*T1*T2^2 - 30*T1^2*T2^2 + 237*T1^3*T2^2 - 100*T1^4*T2^2 - 
     68*T1^5*T2^2 - 100*T1^6*T2^2 + 237*T1^7*T2^2 - 30*T1^8*T2^2 - 
     50*T1^9*T2^2 + 20*T1^10*T2^2 - 16*T2^3 - 20*T1*T2^3 + 237*T1^2*T2^3 - 
     368*T1^3*T2^3 - 200*T1^4*T2^3 + 264*T1^5*T2^3 + 264*T1^6*T2^3 - 
     200*T1^7*T2^3 - 368*T1^8*T2^3 + 237*T1^9*T2^3 - 20*T1^10*T2^3 - 
     16*T1^11*T2^3 + 10*T2^4 + 30*T1*T2^4 - 100*T1^2*T2^4 - 200*T1^3*T2^4 + 
     926*T1^4*T2^4 - 416*T1^5*T2^4 - 198*T1^6*T2^4 - 416*T1^7*T2^4 + 
     926*T1^8*T2^4 - 200*T1^9*T2^4 - 100*T1^10*T2^4 + 30*T1^11*T2^4 + 
     10*T1^12*T2^4 - 16*T2^5 + 30*T1*T2^5 - 68*T1^2*T2^5 + 264*T1^3*T2^5 - 
     416*T1^4*T2^5 - 314*T1^5*T2^5 + 378*T1^6*T2^5 + 378*T1^7*T2^5 - 
     314*T1^8*T2^5 - 416*T1^9*T2^5 + 264*T1^10*T2^5 - 68*T1^11*T2^5 + 
     30*T1^12*T2^5 - 16*T1^13*T2^5 + 20*T2^6 - 20*T1*T2^6 - 100*T1^2*T2^6 + 
     264*T1^3*T2^6 - 198*T1^4*T2^6 + 378*T1^5*T2^6 - 308*T1^6*T2^6 + 
     120*T1^7*T2^6 - 308*T1^8*T2^6 + 378*T1^9*T2^6 - 198*T1^10*T2^6 + 
     264*T1^11*T2^6 - 100*T1^12*T2^6 - 20*T1^13*T2^6 + 20*T1^14*T2^6 - 
     10*T2^7 - 50*T1*T2^7 + 237*T1^2*T2^7 - 200*T1^3*T2^7 - 416*T1^4*T2^7 + 
     378*T1^5*T2^7 + 120*T1^6*T2^7 - 122*T1^7*T2^7 - 122*T1^8*T2^7 + 
     120*T1^9*T2^7 + 378*T1^10*T2^7 - 416*T1^11*T2^7 - 200*T1^12*T2^7 + 
     237*T1^13*T2^7 - 50*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 - 
     30*T1^2*T2^8 - 368*T1^3*T2^8 + 926*T1^4*T2^8 - 314*T1^5*T2^8 - 
     308*T1^6*T2^8 - 122*T1^7*T2^8 + 456*T1^8*T2^8 - 122*T1^9*T2^8 - 
     308*T1^10*T2^8 - 314*T1^11*T2^8 + 926*T1^12*T2^8 - 368*T1^13*T2^8 - 
     30*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     50*T1^2*T2^9 + 237*T1^3*T2^9 - 200*T1^4*T2^9 - 416*T1^5*T2^9 + 
     378*T1^6*T2^9 + 120*T1^7*T2^9 - 122*T1^8*T2^9 - 122*T1^9*T2^9 + 
     120*T1^10*T2^9 + 378*T1^11*T2^9 - 416*T1^12*T2^9 - 200*T1^13*T2^9 + 
     237*T1^14*T2^9 - 50*T1^15*T2^9 - 10*T1^16*T2^9 + 20*T1^2*T2^10 - 
     20*T1^3*T2^10 - 100*T1^4*T2^10 + 264*T1^5*T2^10 - 198*T1^6*T2^10 + 
     378*T1^7*T2^10 - 308*T1^8*T2^10 + 120*T1^9*T2^10 - 308*T1^10*T2^10 + 
     378*T1^11*T2^10 - 198*T1^12*T2^10 + 264*T1^13*T2^10 - 100*T1^14*T2^10 - 
     20*T1^15*T2^10 + 20*T1^16*T2^10 - 16*T1^3*T2^11 + 30*T1^4*T2^11 - 
     68*T1^5*T2^11 + 264*T1^6*T2^11 - 416*T1^7*T2^11 - 314*T1^8*T2^11 + 
     378*T1^9*T2^11 + 378*T1^10*T2^11 - 314*T1^11*T2^11 - 416*T1^12*T2^11 + 
     264*T1^13*T2^11 - 68*T1^14*T2^11 + 30*T1^15*T2^11 - 16*T1^16*T2^11 + 
     10*T1^4*T2^12 + 30*T1^5*T2^12 - 100*T1^6*T2^12 - 200*T1^7*T2^12 + 
     926*T1^8*T2^12 - 416*T1^9*T2^12 - 198*T1^10*T2^12 - 416*T1^11*T2^12 + 
     926*T1^12*T2^12 - 200*T1^13*T2^12 - 100*T1^14*T2^12 + 30*T1^15*T2^12 + 
     10*T1^16*T2^12 - 16*T1^5*T2^13 - 20*T1^6*T2^13 + 237*T1^7*T2^13 - 
     368*T1^8*T2^13 - 200*T1^9*T2^13 + 264*T1^10*T2^13 + 264*T1^11*T2^13 - 
     200*T1^12*T2^13 - 368*T1^13*T2^13 + 237*T1^14*T2^13 - 20*T1^15*T2^13 - 
     16*T1^16*T2^13 + 20*T1^6*T2^14 - 50*T1^7*T2^14 - 30*T1^8*T2^14 + 
     237*T1^9*T2^14 - 100*T1^10*T2^14 - 68*T1^11*T2^14 - 100*T1^12*T2^14 + 
     237*T1^13*T2^14 - 30*T1^14*T2^14 - 50*T1^15*T2^14 + 20*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 50*T1^9*T2^15 - 20*T1^10*T2^15 + 
     30*T1^11*T2^15 + 30*T1^12*T2^15 - 20*T1^13*T2^15 - 50*T1^14*T2^15 + 
     40*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)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 624] -> 
  {-((1 - 3*T + 6*T^3 - 9*T^4 + 6*T^5 - 3*T^7 + T^8)/T^4), 
   -((3 - 9*T1 + 18*T1^3 - 27*T1^4 + 18*T1^5 - 9*T1^7 + 3*T1^8 - 9*T2 + 
      18*T1*T2 + 27*T1^2*T2 - 54*T1^3*T2 + 27*T1^4*T2 + 27*T1^5*T2 - 
      54*T1^6*T2 + 27*T1^7*T2 + 18*T1^8*T2 - 9*T1^9*T2 + 27*T1*T2^2 - 
      78*T1^2*T2^2 - 4*T1^3*T2^2 + 152*T1^4*T2^2 - 222*T1^5*T2^2 + 
      152*T1^6*T2^2 - 4*T1^7*T2^2 - 78*T1^8*T2^2 + 27*T1^9*T2^2 + 18*T2^3 - 
      54*T1*T2^3 - 4*T1^2*T2^3 + 124*T1^3*T2^3 - 170*T1^4*T2^3 + 
      74*T1^5*T2^3 + 74*T1^6*T2^3 - 170*T1^7*T2^3 + 124*T1^8*T2^3 - 
      4*T1^9*T2^3 - 54*T1^10*T2^3 + 18*T1^11*T2^3 - 27*T2^4 + 27*T1*T2^4 + 
      152*T1^2*T2^4 - 170*T1^3*T2^4 - 17*T1^4*T2^4 + 319*T1^5*T2^4 - 
      447*T1^6*T2^4 + 319*T1^7*T2^4 - 17*T1^8*T2^4 - 170*T1^9*T2^4 + 
      152*T1^10*T2^4 + 27*T1^11*T2^4 - 27*T1^12*T2^4 + 18*T2^5 + 27*T1*T2^5 - 
      222*T1^2*T2^5 + 74*T1^3*T2^5 + 319*T1^4*T2^5 - 530*T1^5*T2^5 + 
      247*T1^6*T2^5 + 247*T1^7*T2^5 - 530*T1^8*T2^5 + 319*T1^9*T2^5 + 
      74*T1^10*T2^5 - 222*T1^11*T2^5 + 27*T1^12*T2^5 + 18*T1^13*T2^5 - 
      54*T1*T2^6 + 152*T1^2*T2^6 + 74*T1^3*T2^6 - 447*T1^4*T2^6 + 
      247*T1^5*T2^6 + 281*T1^6*T2^6 - 533*T1^7*T2^6 + 281*T1^8*T2^6 + 
      247*T1^9*T2^6 - 447*T1^10*T2^6 + 74*T1^11*T2^6 + 152*T1^12*T2^6 - 
      54*T1^13*T2^6 - 9*T2^7 + 27*T1*T2^7 - 4*T1^2*T2^7 - 170*T1^3*T2^7 + 
      319*T1^4*T2^7 + 247*T1^5*T2^7 - 533*T1^6*T2^7 + 258*T1^7*T2^7 + 
      258*T1^8*T2^7 - 533*T1^9*T2^7 + 247*T1^10*T2^7 + 319*T1^11*T2^7 - 
      170*T1^12*T2^7 - 4*T1^13*T2^7 + 27*T1^14*T2^7 - 9*T1^15*T2^7 + 3*T2^8 + 
      18*T1*T2^8 - 78*T1^2*T2^8 + 124*T1^3*T2^8 - 17*T1^4*T2^8 - 
      530*T1^5*T2^8 + 281*T1^6*T2^8 + 258*T1^7*T2^8 - 504*T1^8*T2^8 + 
      258*T1^9*T2^8 + 281*T1^10*T2^8 - 530*T1^11*T2^8 - 17*T1^12*T2^8 + 
      124*T1^13*T2^8 - 78*T1^14*T2^8 + 18*T1^15*T2^8 + 3*T1^16*T2^8 - 
      9*T1*T2^9 + 27*T1^2*T2^9 - 4*T1^3*T2^9 - 170*T1^4*T2^9 + 
      319*T1^5*T2^9 + 247*T1^6*T2^9 - 533*T1^7*T2^9 + 258*T1^8*T2^9 + 
      258*T1^9*T2^9 - 533*T1^10*T2^9 + 247*T1^11*T2^9 + 319*T1^12*T2^9 - 
      170*T1^13*T2^9 - 4*T1^14*T2^9 + 27*T1^15*T2^9 - 9*T1^16*T2^9 - 
      54*T1^3*T2^10 + 152*T1^4*T2^10 + 74*T1^5*T2^10 - 447*T1^6*T2^10 + 
      247*T1^7*T2^10 + 281*T1^8*T2^10 - 533*T1^9*T2^10 + 281*T1^10*T2^10 + 
      247*T1^11*T2^10 - 447*T1^12*T2^10 + 74*T1^13*T2^10 + 152*T1^14*T2^10 - 
      54*T1^15*T2^10 + 18*T1^3*T2^11 + 27*T1^4*T2^11 - 222*T1^5*T2^11 + 
      74*T1^6*T2^11 + 319*T1^7*T2^11 - 530*T1^8*T2^11 + 247*T1^9*T2^11 + 
      247*T1^10*T2^11 - 530*T1^11*T2^11 + 319*T1^12*T2^11 + 74*T1^13*T2^11 - 
      222*T1^14*T2^11 + 27*T1^15*T2^11 + 18*T1^16*T2^11 - 27*T1^4*T2^12 + 
      27*T1^5*T2^12 + 152*T1^6*T2^12 - 170*T1^7*T2^12 - 17*T1^8*T2^12 + 
      319*T1^9*T2^12 - 447*T1^10*T2^12 + 319*T1^11*T2^12 - 17*T1^12*T2^12 - 
      170*T1^13*T2^12 + 152*T1^14*T2^12 + 27*T1^15*T2^12 - 27*T1^16*T2^12 + 
      18*T1^5*T2^13 - 54*T1^6*T2^13 - 4*T1^7*T2^13 + 124*T1^8*T2^13 - 
      170*T1^9*T2^13 + 74*T1^10*T2^13 + 74*T1^11*T2^13 - 170*T1^12*T2^13 + 
      124*T1^13*T2^13 - 4*T1^14*T2^13 - 54*T1^15*T2^13 + 18*T1^16*T2^13 + 
      27*T1^7*T2^14 - 78*T1^8*T2^14 - 4*T1^9*T2^14 + 152*T1^10*T2^14 - 
      222*T1^11*T2^14 + 152*T1^12*T2^14 - 4*T1^13*T2^14 - 78*T1^14*T2^14 + 
      27*T1^15*T2^14 - 9*T1^7*T2^15 + 18*T1^8*T2^15 + 27*T1^9*T2^15 - 
      54*T1^10*T2^15 + 27*T1^11*T2^15 + 27*T1^12*T2^15 - 54*T1^13*T2^15 + 
      27*T1^14*T2^15 + 18*T1^15*T2^15 - 9*T1^16*T2^15 + 3*T1^8*T2^16 - 
      9*T1^9*T2^16 + 18*T1^11*T2^16 - 27*T1^12*T2^16 + 18*T1^13*T2^16 - 
      9*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 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), 
   (1 - 5*T1 + 12*T1^2 - 18*T1^3 + 19*T1^4 - 18*T1^5 + 12*T1^6 - 5*T1^7 + 
     T1^8 - 5*T2 + 20*T1*T2 - 35*T1^2*T2 + 30*T1^3*T2 - 5*T1^4*T2 - 
     5*T1^5*T2 + 30*T1^6*T2 - 35*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 12*T2^2 - 
     35*T1*T2^2 + 31*T1^2*T2^2 + 23*T1^3*T2^2 - 78*T1^4*T2^2 + 47*T1^5*T2^2 - 
     78*T1^6*T2^2 + 23*T1^7*T2^2 + 31*T1^8*T2^2 - 35*T1^9*T2^2 + 
     12*T1^10*T2^2 - 18*T2^3 + 30*T1*T2^3 + 23*T1^2*T2^3 - 110*T1^3*T2^3 + 
     115*T1^4*T2^3 + 29*T1^5*T2^3 + 29*T1^6*T2^3 + 115*T1^7*T2^3 - 
     110*T1^8*T2^3 + 23*T1^9*T2^3 + 30*T1^10*T2^3 - 18*T1^11*T2^3 + 19*T2^4 - 
     5*T1*T2^4 - 78*T1^2*T2^4 + 115*T1^3*T2^4 + T1^4*T2^4 - 215*T1^5*T2^4 + 
     53*T1^6*T2^4 - 215*T1^7*T2^4 + T1^8*T2^4 + 115*T1^9*T2^4 - 
     78*T1^10*T2^4 - 5*T1^11*T2^4 + 19*T1^12*T2^4 - 18*T2^5 - 5*T1*T2^5 + 
     47*T1^2*T2^5 + 29*T1^3*T2^5 - 215*T1^4*T2^5 + 350*T1^5*T2^5 - 
     4*T1^6*T2^5 - 4*T1^7*T2^5 + 350*T1^8*T2^5 - 215*T1^9*T2^5 + 
     29*T1^10*T2^5 + 47*T1^11*T2^5 - 5*T1^12*T2^5 - 18*T1^13*T2^5 + 12*T2^6 + 
     30*T1*T2^6 - 78*T1^2*T2^6 + 29*T1^3*T2^6 + 53*T1^4*T2^6 - 4*T1^5*T2^6 - 
     573*T1^6*T2^6 + 727*T1^7*T2^6 - 573*T1^8*T2^6 - 4*T1^9*T2^6 + 
     53*T1^10*T2^6 + 29*T1^11*T2^6 - 78*T1^12*T2^6 + 30*T1^13*T2^6 + 
     12*T1^14*T2^6 - 5*T2^7 - 35*T1*T2^7 + 23*T1^2*T2^7 + 115*T1^3*T2^7 - 
     215*T1^4*T2^7 - 4*T1^5*T2^7 + 727*T1^6*T2^7 - 500*T1^7*T2^7 - 
     500*T1^8*T2^7 + 727*T1^9*T2^7 - 4*T1^10*T2^7 - 215*T1^11*T2^7 + 
     115*T1^12*T2^7 + 23*T1^13*T2^7 - 35*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 
     20*T1*T2^8 + 31*T1^2*T2^8 - 110*T1^3*T2^8 + T1^4*T2^8 + 350*T1^5*T2^8 - 
     573*T1^6*T2^8 - 500*T1^7*T2^8 + 1416*T1^8*T2^8 - 500*T1^9*T2^8 - 
     573*T1^10*T2^8 + 350*T1^11*T2^8 + T1^12*T2^8 - 110*T1^13*T2^8 + 
     31*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 35*T1^2*T2^9 + 
     23*T1^3*T2^9 + 115*T1^4*T2^9 - 215*T1^5*T2^9 - 4*T1^6*T2^9 + 
     727*T1^7*T2^9 - 500*T1^8*T2^9 - 500*T1^9*T2^9 + 727*T1^10*T2^9 - 
     4*T1^11*T2^9 - 215*T1^12*T2^9 + 115*T1^13*T2^9 + 23*T1^14*T2^9 - 
     35*T1^15*T2^9 - 5*T1^16*T2^9 + 12*T1^2*T2^10 + 30*T1^3*T2^10 - 
     78*T1^4*T2^10 + 29*T1^5*T2^10 + 53*T1^6*T2^10 - 4*T1^7*T2^10 - 
     573*T1^8*T2^10 + 727*T1^9*T2^10 - 573*T1^10*T2^10 - 4*T1^11*T2^10 + 
     53*T1^12*T2^10 + 29*T1^13*T2^10 - 78*T1^14*T2^10 + 30*T1^15*T2^10 + 
     12*T1^16*T2^10 - 18*T1^3*T2^11 - 5*T1^4*T2^11 + 47*T1^5*T2^11 + 
     29*T1^6*T2^11 - 215*T1^7*T2^11 + 350*T1^8*T2^11 - 4*T1^9*T2^11 - 
     4*T1^10*T2^11 + 350*T1^11*T2^11 - 215*T1^12*T2^11 + 29*T1^13*T2^11 + 
     47*T1^14*T2^11 - 5*T1^15*T2^11 - 18*T1^16*T2^11 + 19*T1^4*T2^12 - 
     5*T1^5*T2^12 - 78*T1^6*T2^12 + 115*T1^7*T2^12 + T1^8*T2^12 - 
     215*T1^9*T2^12 + 53*T1^10*T2^12 - 215*T1^11*T2^12 + T1^12*T2^12 + 
     115*T1^13*T2^12 - 78*T1^14*T2^12 - 5*T1^15*T2^12 + 19*T1^16*T2^12 - 
     18*T1^5*T2^13 + 30*T1^6*T2^13 + 23*T1^7*T2^13 - 110*T1^8*T2^13 + 
     115*T1^9*T2^13 + 29*T1^10*T2^13 + 29*T1^11*T2^13 + 115*T1^12*T2^13 - 
     110*T1^13*T2^13 + 23*T1^14*T2^13 + 30*T1^15*T2^13 - 18*T1^16*T2^13 + 
     12*T1^6*T2^14 - 35*T1^7*T2^14 + 31*T1^8*T2^14 + 23*T1^9*T2^14 - 
     78*T1^10*T2^14 + 47*T1^11*T2^14 - 78*T1^12*T2^14 + 23*T1^13*T2^14 + 
     31*T1^14*T2^14 - 35*T1^15*T2^14 + 12*T1^16*T2^14 - 5*T1^7*T2^15 + 
     20*T1^8*T2^15 - 35*T1^9*T2^15 + 30*T1^10*T2^15 - 5*T1^11*T2^15 - 
     5*T1^12*T2^15 + 30*T1^13*T2^15 - 35*T1^14*T2^15 + 20*T1^15*T2^15 - 
     5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 12*T1^10*T2^16 - 
     18*T1^11*T2^16 + 19*T1^12*T2^16 - 18*T1^13*T2^16 + 12*T1^14*T2^16 - 
     5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 626] -> 
  {-(((1 - T + T^2)*(2 - 13*T + 21*T^2 - 13*T^3 + 2*T^4))/T^3), 
   (17 - 127*T1 + 304*T1^2 - 397*T1^3 + 304*T1^4 - 127*T1^5 + 17*T1^6 - 
     127*T2 + 828*T1*T2 - 1319*T1^2*T2 + 689*T1^3*T2 + 689*T1^4*T2 - 
     1319*T1^5*T2 + 828*T1^6*T2 - 127*T1^7*T2 + 304*T2^2 - 1319*T1*T2^2 - 
     1437*T1^2*T2^2 + 7682*T1^3*T2^2 - 11327*T1^4*T2^2 + 7682*T1^5*T2^2 - 
     1437*T1^6*T2^2 - 1319*T1^7*T2^2 + 304*T1^8*T2^2 - 397*T2^3 + 
     689*T1*T2^3 + 7682*T1^2*T2^3 - 14754*T1^3*T2^3 + 8230*T1^4*T2^3 + 
     8230*T1^5*T2^3 - 14754*T1^6*T2^3 + 7682*T1^7*T2^3 + 689*T1^8*T2^3 - 
     397*T1^9*T2^3 + 304*T2^4 + 689*T1*T2^4 - 11327*T1^2*T2^4 + 
     8230*T1^3*T2^4 + 11873*T1^4*T2^4 - 25861*T1^5*T2^4 + 11873*T1^6*T2^4 + 
     8230*T1^7*T2^4 - 11327*T1^8*T2^4 + 689*T1^9*T2^4 + 304*T1^10*T2^4 - 
     127*T2^5 - 1319*T1*T2^5 + 7682*T1^2*T2^5 + 8230*T1^3*T2^5 - 
     25861*T1^4*T2^5 + 16300*T1^5*T2^5 + 16300*T1^6*T2^5 - 25861*T1^7*T2^5 + 
     8230*T1^8*T2^5 + 7682*T1^9*T2^5 - 1319*T1^10*T2^5 - 127*T1^11*T2^5 + 
     17*T2^6 + 828*T1*T2^6 - 1437*T1^2*T2^6 - 14754*T1^3*T2^6 + 
     11873*T1^4*T2^6 + 16300*T1^5*T2^6 - 36960*T1^6*T2^6 + 16300*T1^7*T2^6 + 
     11873*T1^8*T2^6 - 14754*T1^9*T2^6 - 1437*T1^10*T2^6 + 828*T1^11*T2^6 + 
     17*T1^12*T2^6 - 127*T1*T2^7 - 1319*T1^2*T2^7 + 7682*T1^3*T2^7 + 
     8230*T1^4*T2^7 - 25861*T1^5*T2^7 + 16300*T1^6*T2^7 + 16300*T1^7*T2^7 - 
     25861*T1^8*T2^7 + 8230*T1^9*T2^7 + 7682*T1^10*T2^7 - 1319*T1^11*T2^7 - 
     127*T1^12*T2^7 + 304*T1^2*T2^8 + 689*T1^3*T2^8 - 11327*T1^4*T2^8 + 
     8230*T1^5*T2^8 + 11873*T1^6*T2^8 - 25861*T1^7*T2^8 + 11873*T1^8*T2^8 + 
     8230*T1^9*T2^8 - 11327*T1^10*T2^8 + 689*T1^11*T2^8 + 304*T1^12*T2^8 - 
     397*T1^3*T2^9 + 689*T1^4*T2^9 + 7682*T1^5*T2^9 - 14754*T1^6*T2^9 + 
     8230*T1^7*T2^9 + 8230*T1^8*T2^9 - 14754*T1^9*T2^9 + 7682*T1^10*T2^9 + 
     689*T1^11*T2^9 - 397*T1^12*T2^9 + 304*T1^4*T2^10 - 1319*T1^5*T2^10 - 
     1437*T1^6*T2^10 + 7682*T1^7*T2^10 - 11327*T1^8*T2^10 + 7682*T1^9*T2^10 - 
     1437*T1^10*T2^10 - 1319*T1^11*T2^10 + 304*T1^12*T2^10 - 127*T1^5*T2^11 + 
     828*T1^6*T2^11 - 1319*T1^7*T2^11 + 689*T1^8*T2^11 + 689*T1^9*T2^11 - 
     1319*T1^10*T2^11 + 828*T1^11*T2^11 - 127*T1^12*T2^11 + 17*T1^6*T2^12 - 
     127*T1^7*T2^12 + 304*T1^8*T2^12 - 397*T1^9*T2^12 + 304*T1^10*T2^12 - 
     127*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6)}, 
 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, 
   -((2 - 6*T1 + 8*T1^2 - 8*T1^3 + 8*T1^4 - 6*T1^5 + 2*T1^6 - 6*T2 + 
      12*T1*T2 - 5*T1^2*T2 - 5*T1^5*T2 + 12*T1^6*T2 - 6*T1^7*T2 + 8*T2^2 - 
      5*T1*T2^2 - 23*T1^2*T2^2 + 31*T1^3*T2^2 - 37*T1^4*T2^2 + 31*T1^5*T2^2 - 
      23*T1^6*T2^2 - 5*T1^7*T2^2 + 8*T1^8*T2^2 - 8*T2^3 + 31*T1^2*T2^3 - 
      30*T1^3*T2^3 + 36*T1^4*T2^3 + 36*T1^5*T2^3 - 30*T1^6*T2^3 + 
      31*T1^7*T2^3 - 8*T1^9*T2^3 + 8*T2^4 - 37*T1^2*T2^4 + 36*T1^3*T2^4 - 
      8*T1^4*T2^4 - 144*T1^5*T2^4 - 8*T1^6*T2^4 + 36*T1^7*T2^4 - 
      37*T1^8*T2^4 + 8*T1^10*T2^4 - 6*T2^5 - 5*T1*T2^5 + 31*T1^2*T2^5 + 
      36*T1^3*T2^5 - 144*T1^4*T2^5 + 214*T1^5*T2^5 + 214*T1^6*T2^5 - 
      144*T1^7*T2^5 + 36*T1^8*T2^5 + 31*T1^9*T2^5 - 5*T1^10*T2^5 - 
      6*T1^11*T2^5 + 2*T2^6 + 12*T1*T2^6 - 23*T1^2*T2^6 - 30*T1^3*T2^6 - 
      8*T1^4*T2^6 + 214*T1^5*T2^6 - 636*T1^6*T2^6 + 214*T1^7*T2^6 - 
      8*T1^8*T2^6 - 30*T1^9*T2^6 - 23*T1^10*T2^6 + 12*T1^11*T2^6 + 
      2*T1^12*T2^6 - 6*T1*T2^7 - 5*T1^2*T2^7 + 31*T1^3*T2^7 + 36*T1^4*T2^7 - 
      144*T1^5*T2^7 + 214*T1^6*T2^7 + 214*T1^7*T2^7 - 144*T1^8*T2^7 + 
      36*T1^9*T2^7 + 31*T1^10*T2^7 - 5*T1^11*T2^7 - 6*T1^12*T2^7 + 
      8*T1^2*T2^8 - 37*T1^4*T2^8 + 36*T1^5*T2^8 - 8*T1^6*T2^8 - 
      144*T1^7*T2^8 - 8*T1^8*T2^8 + 36*T1^9*T2^8 - 37*T1^10*T2^8 + 
      8*T1^12*T2^8 - 8*T1^3*T2^9 + 31*T1^5*T2^9 - 30*T1^6*T2^9 + 
      36*T1^7*T2^9 + 36*T1^8*T2^9 - 30*T1^9*T2^9 + 31*T1^10*T2^9 - 
      8*T1^12*T2^9 + 8*T1^4*T2^10 - 5*T1^5*T2^10 - 23*T1^6*T2^10 + 
      31*T1^7*T2^10 - 37*T1^8*T2^10 + 31*T1^9*T2^10 - 23*T1^10*T2^10 - 
      5*T1^11*T2^10 + 8*T1^12*T2^10 - 6*T1^5*T2^11 + 12*T1^6*T2^11 - 
      5*T1^7*T2^11 - 5*T1^10*T2^11 + 12*T1^11*T2^11 - 6*T1^12*T2^11 + 
      2*T1^6*T2^12 - 6*T1^7*T2^12 + 8*T1^8*T2^12 - 8*T1^9*T2^12 + 
      8*T1^10*T2^12 - 6*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 628] -> 
  {-(((1 - 3*T + T^2)*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^3), 
   (2 - 10*T1 + 10*T1^2 + 10*T1^3 - 10*T1^4 + 2*T1^5 - 10*T2 + 37*T1*T2 + 
     25*T1^2*T2 - 153*T1^3*T2 + 25*T1^4*T2 + 37*T1^5*T2 - 10*T1^6*T2 + 
     10*T2^2 + 25*T1*T2^2 - 358*T1^2*T2^2 + 453*T1^3*T2^2 + 453*T1^4*T2^2 - 
     358*T1^5*T2^2 + 25*T1^6*T2^2 + 10*T1^7*T2^2 + 10*T2^3 - 153*T1*T2^3 + 
     453*T1^2*T2^3 + 627*T1^3*T2^3 - 2659*T1^4*T2^3 + 627*T1^5*T2^3 + 
     453*T1^6*T2^3 - 153*T1^7*T2^3 + 10*T1^8*T2^3 - 10*T2^4 + 25*T1*T2^4 + 
     453*T1^2*T2^4 - 2659*T1^3*T2^4 + 2934*T1^4*T2^4 + 2934*T1^5*T2^4 - 
     2659*T1^6*T2^4 + 453*T1^7*T2^4 + 25*T1^8*T2^4 - 10*T1^9*T2^4 + 2*T2^5 + 
     37*T1*T2^5 - 358*T1^2*T2^5 + 627*T1^3*T2^5 + 2934*T1^4*T2^5 - 
     8316*T1^5*T2^5 + 2934*T1^6*T2^5 + 627*T1^7*T2^5 - 358*T1^8*T2^5 + 
     37*T1^9*T2^5 + 2*T1^10*T2^5 - 10*T1*T2^6 + 25*T1^2*T2^6 + 
     453*T1^3*T2^6 - 2659*T1^4*T2^6 + 2934*T1^5*T2^6 + 2934*T1^6*T2^6 - 
     2659*T1^7*T2^6 + 453*T1^8*T2^6 + 25*T1^9*T2^6 - 10*T1^10*T2^6 + 
     10*T1^2*T2^7 - 153*T1^3*T2^7 + 453*T1^4*T2^7 + 627*T1^5*T2^7 - 
     2659*T1^6*T2^7 + 627*T1^7*T2^7 + 453*T1^8*T2^7 - 153*T1^9*T2^7 + 
     10*T1^10*T2^7 + 10*T1^3*T2^8 + 25*T1^4*T2^8 - 358*T1^5*T2^8 + 
     453*T1^6*T2^8 + 453*T1^7*T2^8 - 358*T1^8*T2^8 + 25*T1^9*T2^8 + 
     10*T1^10*T2^8 - 10*T1^4*T2^9 + 37*T1^5*T2^9 + 25*T1^6*T2^9 - 
     153*T1^7*T2^9 + 25*T1^8*T2^9 + 37*T1^9*T2^9 - 10*T1^10*T2^9 + 
     2*T1^5*T2^10 - 10*T1^6*T2^10 + 10*T1^7*T2^10 + 10*T1^8*T2^10 - 
     10*T1^9*T2^10 + 2*T1^10*T2^10)/(T1^5*T2^5)}, 
 Knot[12, NonAlternating, 629] -> 
  {(1 - 4*T + 6*T^2 - 5*T^3 + 6*T^4 - 4*T^5 + T^6)/T^3, 
   -((1 - 4*T1 + 6*T1^2 - 5*T1^3 + 6*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 12*T1*T2 - 
      8*T1^2*T2 - 4*T1^3*T2 - 4*T1^4*T2 - 8*T1^5*T2 + 12*T1^6*T2 - 
      4*T1^7*T2 + 6*T2^2 - 8*T1*T2^2 - 20*T1^2*T2^2 + 36*T1^3*T2^2 + 
      36*T1^5*T2^2 - 20*T1^6*T2^2 - 8*T1^7*T2^2 + 6*T1^8*T2^2 - 5*T2^3 - 
      4*T1*T2^3 + 36*T1^2*T2^3 - 16*T1^3*T2^3 - 35*T1^4*T2^3 - 35*T1^5*T2^3 - 
      16*T1^6*T2^3 + 36*T1^7*T2^3 - 4*T1^8*T2^3 - 5*T1^9*T2^3 + 6*T2^4 - 
      4*T1*T2^4 - 35*T1^3*T2^4 + 69*T1^4*T2^4 - 33*T1^5*T2^4 + 69*T1^6*T2^4 - 
      35*T1^7*T2^4 - 4*T1^9*T2^4 + 6*T1^10*T2^4 - 4*T2^5 - 8*T1*T2^5 + 
      36*T1^2*T2^5 - 35*T1^3*T2^5 - 33*T1^4*T2^5 + 36*T1^5*T2^5 + 
      36*T1^6*T2^5 - 33*T1^7*T2^5 - 35*T1^8*T2^5 + 36*T1^9*T2^5 - 
      8*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 12*T1*T2^6 - 20*T1^2*T2^6 - 
      16*T1^3*T2^6 + 69*T1^4*T2^6 + 36*T1^5*T2^6 - 156*T1^6*T2^6 + 
      36*T1^7*T2^6 + 69*T1^8*T2^6 - 16*T1^9*T2^6 - 20*T1^10*T2^6 + 
      12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 8*T1^2*T2^7 + 36*T1^3*T2^7 - 
      35*T1^4*T2^7 - 33*T1^5*T2^7 + 36*T1^6*T2^7 + 36*T1^7*T2^7 - 
      33*T1^8*T2^7 - 35*T1^9*T2^7 + 36*T1^10*T2^7 - 8*T1^11*T2^7 - 
      4*T1^12*T2^7 + 6*T1^2*T2^8 - 4*T1^3*T2^8 - 35*T1^5*T2^8 + 
      69*T1^6*T2^8 - 33*T1^7*T2^8 + 69*T1^8*T2^8 - 35*T1^9*T2^8 - 
      4*T1^11*T2^8 + 6*T1^12*T2^8 - 5*T1^3*T2^9 - 4*T1^4*T2^9 + 
      36*T1^5*T2^9 - 16*T1^6*T2^9 - 35*T1^7*T2^9 - 35*T1^8*T2^9 - 
      16*T1^9*T2^9 + 36*T1^10*T2^9 - 4*T1^11*T2^9 - 5*T1^12*T2^9 + 
      6*T1^4*T2^10 - 8*T1^5*T2^10 - 20*T1^6*T2^10 + 36*T1^7*T2^10 + 
      36*T1^9*T2^10 - 20*T1^10*T2^10 - 8*T1^11*T2^10 + 6*T1^12*T2^10 - 
      4*T1^5*T2^11 + 12*T1^6*T2^11 - 8*T1^7*T2^11 - 4*T1^8*T2^11 - 
      4*T1^9*T2^11 - 8*T1^10*T2^11 + 12*T1^11*T2^11 - 4*T1^12*T2^11 + 
      T1^6*T2^12 - 4*T1^7*T2^12 + 6*T1^8*T2^12 - 5*T1^9*T2^12 + 
      6*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 630] -> 
  {((1 - 3*T + T^2)*(1 - T - T^2 - T^3 + T^4))/T^3, 
   (1 - 4*T1 + 3*T1^2 + T1^3 + 3*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 12*T1*T2 + 
     4*T1^2*T2 - 16*T1^3*T2 - 16*T1^4*T2 + 4*T1^5*T2 + 12*T1^6*T2 - 
     4*T1^7*T2 + 3*T2^2 + 4*T1*T2^2 - 51*T1^2*T2^2 + 30*T1^3*T2^2 + 
     51*T1^4*T2^2 + 30*T1^5*T2^2 - 51*T1^6*T2^2 + 4*T1^7*T2^2 + 3*T1^8*T2^2 + 
     T2^3 - 16*T1*T2^3 + 30*T1^2*T2^3 + 56*T1^3*T2^3 - 82*T1^4*T2^3 - 
     82*T1^5*T2^3 + 56*T1^6*T2^3 + 30*T1^7*T2^3 - 16*T1^8*T2^3 + T1^9*T2^3 + 
     3*T2^4 - 16*T1*T2^4 + 51*T1^2*T2^4 - 82*T1^3*T2^4 - T1^4*T2^4 + 
     69*T1^5*T2^4 - T1^6*T2^4 - 82*T1^7*T2^4 + 51*T1^8*T2^4 - 16*T1^9*T2^4 + 
     3*T1^10*T2^4 - 4*T2^5 + 4*T1*T2^5 + 30*T1^2*T2^5 - 82*T1^3*T2^5 + 
     69*T1^4*T2^5 + 18*T1^5*T2^5 + 18*T1^6*T2^5 + 69*T1^7*T2^5 - 
     82*T1^8*T2^5 + 30*T1^9*T2^5 + 4*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 
     12*T1*T2^6 - 51*T1^2*T2^6 + 56*T1^3*T2^6 - T1^4*T2^6 + 18*T1^5*T2^6 - 
     156*T1^6*T2^6 + 18*T1^7*T2^6 - T1^8*T2^6 + 56*T1^9*T2^6 - 
     51*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 + 4*T1^2*T2^7 + 
     30*T1^3*T2^7 - 82*T1^4*T2^7 + 69*T1^5*T2^7 + 18*T1^6*T2^7 + 
     18*T1^7*T2^7 + 69*T1^8*T2^7 - 82*T1^9*T2^7 + 30*T1^10*T2^7 + 
     4*T1^11*T2^7 - 4*T1^12*T2^7 + 3*T1^2*T2^8 - 16*T1^3*T2^8 + 
     51*T1^4*T2^8 - 82*T1^5*T2^8 - T1^6*T2^8 + 69*T1^7*T2^8 - T1^8*T2^8 - 
     82*T1^9*T2^8 + 51*T1^10*T2^8 - 16*T1^11*T2^8 + 3*T1^12*T2^8 + 
     T1^3*T2^9 - 16*T1^4*T2^9 + 30*T1^5*T2^9 + 56*T1^6*T2^9 - 82*T1^7*T2^9 - 
     82*T1^8*T2^9 + 56*T1^9*T2^9 + 30*T1^10*T2^9 - 16*T1^11*T2^9 + 
     T1^12*T2^9 + 3*T1^4*T2^10 + 4*T1^5*T2^10 - 51*T1^6*T2^10 + 
     30*T1^7*T2^10 + 51*T1^8*T2^10 + 30*T1^9*T2^10 - 51*T1^10*T2^10 + 
     4*T1^11*T2^10 + 3*T1^12*T2^10 - 4*T1^5*T2^11 + 12*T1^6*T2^11 + 
     4*T1^7*T2^11 - 16*T1^8*T2^11 - 16*T1^9*T2^11 + 4*T1^10*T2^11 + 
     12*T1^11*T2^11 - 4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 
     3*T1^8*T2^12 + T1^9*T2^12 + 3*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 631] -> 
  {-((1 - 6*T + 19*T^2 - 29*T^3 + 19*T^4 - 6*T^5 + T^6)/T^3), 
   (2*T1 - 3*T1^2 - 3*T1^3 + 2*T1^4 + 2*T2 - 36*T1*T2 + 65*T1^2*T2 - 
     32*T1^3*T2 + 65*T1^4*T2 - 36*T1^5*T2 + 2*T1^6*T2 - 3*T2^2 + 65*T1*T2^2 + 
     8*T1^2*T2^2 - 155*T1^3*T2^2 - 155*T1^4*T2^2 + 8*T1^5*T2^2 + 
     65*T1^6*T2^2 - 3*T1^7*T2^2 - 3*T2^3 - 32*T1*T2^3 - 155*T1^2*T2^3 - 
     150*T1^3*T2^3 + 1208*T1^4*T2^3 - 150*T1^5*T2^3 - 155*T1^6*T2^3 - 
     32*T1^7*T2^3 - 3*T1^8*T2^3 + 2*T2^4 + 65*T1*T2^4 - 155*T1^2*T2^4 + 
     1208*T1^3*T2^4 - 1628*T1^4*T2^4 - 1628*T1^5*T2^4 + 1208*T1^6*T2^4 - 
     155*T1^7*T2^4 + 65*T1^8*T2^4 + 2*T1^9*T2^4 - 36*T1*T2^5 + 8*T1^2*T2^5 - 
     150*T1^3*T2^5 - 1628*T1^4*T2^5 + 4872*T1^5*T2^5 - 1628*T1^6*T2^5 - 
     150*T1^7*T2^5 + 8*T1^8*T2^5 - 36*T1^9*T2^5 + 2*T1*T2^6 + 65*T1^2*T2^6 - 
     155*T1^3*T2^6 + 1208*T1^4*T2^6 - 1628*T1^5*T2^6 - 1628*T1^6*T2^6 + 
     1208*T1^7*T2^6 - 155*T1^8*T2^6 + 65*T1^9*T2^6 + 2*T1^10*T2^6 - 
     3*T1^2*T2^7 - 32*T1^3*T2^7 - 155*T1^4*T2^7 - 150*T1^5*T2^7 + 
     1208*T1^6*T2^7 - 150*T1^7*T2^7 - 155*T1^8*T2^7 - 32*T1^9*T2^7 - 
     3*T1^10*T2^7 - 3*T1^3*T2^8 + 65*T1^4*T2^8 + 8*T1^5*T2^8 - 
     155*T1^6*T2^8 - 155*T1^7*T2^8 + 8*T1^8*T2^8 + 65*T1^9*T2^8 - 
     3*T1^10*T2^8 + 2*T1^4*T2^9 - 36*T1^5*T2^9 + 65*T1^6*T2^9 - 
     32*T1^7*T2^9 + 65*T1^8*T2^9 - 36*T1^9*T2^9 + 2*T1^10*T2^9 + 
     2*T1^6*T2^10 - 3*T1^7*T2^10 - 3*T1^8*T2^10 + 2*T1^9*T2^10)/(T1^5*T2^5)}, 
 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), (1 - 7*T1 + 19*T1^2 - 30*T1^3 + 33*T1^4 - 30*T1^5 + 19*T1^6 - 
     7*T1^7 + T1^8 - 7*T2 + 42*T1*T2 - 84*T1^2*T2 + 77*T1^3*T2 - 21*T1^4*T2 - 
     21*T1^5*T2 + 77*T1^6*T2 - 84*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 
     19*T2^2 - 84*T1*T2^2 + 37*T1^2*T2^2 + 228*T1^3*T2^2 - 479*T1^4*T2^2 + 
     471*T1^5*T2^2 - 479*T1^6*T2^2 + 228*T1^7*T2^2 + 37*T1^8*T2^2 - 
     84*T1^9*T2^2 + 19*T1^10*T2^2 - 30*T2^3 + 77*T1*T2^3 + 228*T1^2*T2^3 - 
     732*T1^3*T2^3 + 695*T1^4*T2^3 - 77*T1^5*T2^3 - 77*T1^6*T2^3 + 
     695*T1^7*T2^3 - 732*T1^8*T2^3 + 228*T1^9*T2^3 + 77*T1^10*T2^3 - 
     30*T1^11*T2^3 + 33*T2^4 - 21*T1*T2^4 - 479*T1^2*T2^4 + 695*T1^3*T2^4 + 
     217*T1^4*T2^4 - 1266*T1^5*T2^4 + 847*T1^6*T2^4 - 1266*T1^7*T2^4 + 
     217*T1^8*T2^4 + 695*T1^9*T2^4 - 479*T1^10*T2^4 - 21*T1^11*T2^4 + 
     33*T1^12*T2^4 - 30*T2^5 - 21*T1*T2^5 + 471*T1^2*T2^5 - 77*T1^3*T2^5 - 
     1266*T1^4*T2^5 + 1592*T1^5*T2^5 + 31*T1^6*T2^5 + 31*T1^7*T2^5 + 
     1592*T1^8*T2^5 - 1266*T1^9*T2^5 - 77*T1^10*T2^5 + 471*T1^11*T2^5 - 
     21*T1^12*T2^5 - 30*T1^13*T2^5 + 19*T2^6 + 77*T1*T2^6 - 479*T1^2*T2^6 - 
     77*T1^3*T2^6 + 847*T1^4*T2^6 + 31*T1^5*T2^6 - 2251*T1^6*T2^6 + 
     1765*T1^7*T2^6 - 2251*T1^8*T2^6 + 31*T1^9*T2^6 + 847*T1^10*T2^6 - 
     77*T1^11*T2^6 - 479*T1^12*T2^6 + 77*T1^13*T2^6 + 19*T1^14*T2^6 - 
     7*T2^7 - 84*T1*T2^7 + 228*T1^2*T2^7 + 695*T1^3*T2^7 - 1266*T1^4*T2^7 + 
     31*T1^5*T2^7 + 1765*T1^6*T2^7 - 270*T1^7*T2^7 - 270*T1^8*T2^7 + 
     1765*T1^9*T2^7 + 31*T1^10*T2^7 - 1266*T1^11*T2^7 + 695*T1^12*T2^7 + 
     228*T1^13*T2^7 - 84*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 
     37*T1^2*T2^8 - 732*T1^3*T2^8 + 217*T1^4*T2^8 + 1592*T1^5*T2^8 - 
     2251*T1^6*T2^8 - 270*T1^7*T2^8 + 456*T1^8*T2^8 - 270*T1^9*T2^8 - 
     2251*T1^10*T2^8 + 1592*T1^11*T2^8 + 217*T1^12*T2^8 - 732*T1^13*T2^8 + 
     37*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 84*T1^2*T2^9 + 
     228*T1^3*T2^9 + 695*T1^4*T2^9 - 1266*T1^5*T2^9 + 31*T1^6*T2^9 + 
     1765*T1^7*T2^9 - 270*T1^8*T2^9 - 270*T1^9*T2^9 + 1765*T1^10*T2^9 + 
     31*T1^11*T2^9 - 1266*T1^12*T2^9 + 695*T1^13*T2^9 + 228*T1^14*T2^9 - 
     84*T1^15*T2^9 - 7*T1^16*T2^9 + 19*T1^2*T2^10 + 77*T1^3*T2^10 - 
     479*T1^4*T2^10 - 77*T1^5*T2^10 + 847*T1^6*T2^10 + 31*T1^7*T2^10 - 
     2251*T1^8*T2^10 + 1765*T1^9*T2^10 - 2251*T1^10*T2^10 + 31*T1^11*T2^10 + 
     847*T1^12*T2^10 - 77*T1^13*T2^10 - 479*T1^14*T2^10 + 77*T1^15*T2^10 + 
     19*T1^16*T2^10 - 30*T1^3*T2^11 - 21*T1^4*T2^11 + 471*T1^5*T2^11 - 
     77*T1^6*T2^11 - 1266*T1^7*T2^11 + 1592*T1^8*T2^11 + 31*T1^9*T2^11 + 
     31*T1^10*T2^11 + 1592*T1^11*T2^11 - 1266*T1^12*T2^11 - 77*T1^13*T2^11 + 
     471*T1^14*T2^11 - 21*T1^15*T2^11 - 30*T1^16*T2^11 + 33*T1^4*T2^12 - 
     21*T1^5*T2^12 - 479*T1^6*T2^12 + 695*T1^7*T2^12 + 217*T1^8*T2^12 - 
     1266*T1^9*T2^12 + 847*T1^10*T2^12 - 1266*T1^11*T2^12 + 217*T1^12*T2^12 + 
     695*T1^13*T2^12 - 479*T1^14*T2^12 - 21*T1^15*T2^12 + 33*T1^16*T2^12 - 
     30*T1^5*T2^13 + 77*T1^6*T2^13 + 228*T1^7*T2^13 - 732*T1^8*T2^13 + 
     695*T1^9*T2^13 - 77*T1^10*T2^13 - 77*T1^11*T2^13 + 695*T1^12*T2^13 - 
     732*T1^13*T2^13 + 228*T1^14*T2^13 + 77*T1^15*T2^13 - 30*T1^16*T2^13 + 
     19*T1^6*T2^14 - 84*T1^7*T2^14 + 37*T1^8*T2^14 + 228*T1^9*T2^14 - 
     479*T1^10*T2^14 + 471*T1^11*T2^14 - 479*T1^12*T2^14 + 228*T1^13*T2^14 + 
     37*T1^14*T2^14 - 84*T1^15*T2^14 + 19*T1^16*T2^14 - 7*T1^7*T2^15 + 
     42*T1^8*T2^15 - 84*T1^9*T2^15 + 77*T1^10*T2^15 - 21*T1^11*T2^15 - 
     21*T1^12*T2^15 + 77*T1^13*T2^15 - 84*T1^14*T2^15 + 42*T1^15*T2^15 - 
     7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 19*T1^10*T2^16 - 
     30*T1^11*T2^16 + 33*T1^12*T2^16 - 30*T1^13*T2^16 + 19*T1^14*T2^16 - 
     7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 633] -> 
  {-((2 - 10*T + 22*T^2 - 29*T^3 + 22*T^4 - 10*T^5 + 2*T^6)/T^3), 
   (1 - 6*T1 + 14*T1^2 - 19*T1^3 + 14*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     28*T1*T2 - 43*T1^2*T2 + 27*T1^3*T2 + 27*T1^4*T2 - 43*T1^5*T2 + 
     28*T1^6*T2 - 6*T1^7*T2 + 14*T2^2 - 43*T1*T2^2 - 9*T1^2*T2^2 + 
     134*T1^3*T2^2 - 253*T1^4*T2^2 + 134*T1^5*T2^2 - 9*T1^6*T2^2 - 
     43*T1^7*T2^2 + 14*T1^8*T2^2 - 19*T2^3 + 27*T1*T2^3 + 134*T1^2*T2^3 - 
     268*T1^3*T2^3 + 218*T1^4*T2^3 + 218*T1^5*T2^3 - 268*T1^6*T2^3 + 
     134*T1^7*T2^3 + 27*T1^8*T2^3 - 19*T1^9*T2^3 + 14*T2^4 + 27*T1*T2^4 - 
     253*T1^2*T2^4 + 218*T1^3*T2^4 + 53*T1^4*T2^4 - 499*T1^5*T2^4 + 
     53*T1^6*T2^4 + 218*T1^7*T2^4 - 253*T1^8*T2^4 + 27*T1^9*T2^4 + 
     14*T1^10*T2^4 - 6*T2^5 - 43*T1*T2^5 + 134*T1^2*T2^5 + 218*T1^3*T2^5 - 
     499*T1^4*T2^5 + 486*T1^5*T2^5 + 486*T1^6*T2^5 - 499*T1^7*T2^5 + 
     218*T1^8*T2^5 + 134*T1^9*T2^5 - 43*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     28*T1*T2^6 - 9*T1^2*T2^6 - 268*T1^3*T2^6 + 53*T1^4*T2^6 + 
     486*T1^5*T2^6 - 1248*T1^6*T2^6 + 486*T1^7*T2^6 + 53*T1^8*T2^6 - 
     268*T1^9*T2^6 - 9*T1^10*T2^6 + 28*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
     43*T1^2*T2^7 + 134*T1^3*T2^7 + 218*T1^4*T2^7 - 499*T1^5*T2^7 + 
     486*T1^6*T2^7 + 486*T1^7*T2^7 - 499*T1^8*T2^7 + 218*T1^9*T2^7 + 
     134*T1^10*T2^7 - 43*T1^11*T2^7 - 6*T1^12*T2^7 + 14*T1^2*T2^8 + 
     27*T1^3*T2^8 - 253*T1^4*T2^8 + 218*T1^5*T2^8 + 53*T1^6*T2^8 - 
     499*T1^7*T2^8 + 53*T1^8*T2^8 + 218*T1^9*T2^8 - 253*T1^10*T2^8 + 
     27*T1^11*T2^8 + 14*T1^12*T2^8 - 19*T1^3*T2^9 + 27*T1^4*T2^9 + 
     134*T1^5*T2^9 - 268*T1^6*T2^9 + 218*T1^7*T2^9 + 218*T1^8*T2^9 - 
     268*T1^9*T2^9 + 134*T1^10*T2^9 + 27*T1^11*T2^9 - 19*T1^12*T2^9 + 
     14*T1^4*T2^10 - 43*T1^5*T2^10 - 9*T1^6*T2^10 + 134*T1^7*T2^10 - 
     253*T1^8*T2^10 + 134*T1^9*T2^10 - 9*T1^10*T2^10 - 43*T1^11*T2^10 + 
     14*T1^12*T2^10 - 6*T1^5*T2^11 + 28*T1^6*T2^11 - 43*T1^7*T2^11 + 
     27*T1^8*T2^11 + 27*T1^9*T2^11 - 43*T1^10*T2^11 + 28*T1^11*T2^11 - 
     6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 14*T1^8*T2^12 - 
     19*T1^9*T2^12 + 14*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 634] -> 
  {(1 - 5*T + 11*T^2 - 13*T^3 + 11*T^4 - 5*T^5 + T^6)/T^3, 
   (1 - 5*T1 + 11*T1^2 - 13*T1^3 + 11*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 30*T1^2*T2 + 11*T1^3*T2 + 11*T1^4*T2 - 30*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 11*T2^2 - 30*T1*T2^2 + 8*T1^2*T2^2 + 
     68*T1^3*T2^2 - 90*T1^4*T2^2 + 68*T1^5*T2^2 + 8*T1^6*T2^2 - 
     30*T1^7*T2^2 + 11*T1^8*T2^2 - 13*T2^3 + 11*T1*T2^3 + 68*T1^2*T2^3 - 
     148*T1^3*T2^3 + 68*T1^4*T2^3 + 68*T1^5*T2^3 - 148*T1^6*T2^3 + 
     68*T1^7*T2^3 + 11*T1^8*T2^3 - 13*T1^9*T2^3 + 11*T2^4 + 11*T1*T2^4 - 
     90*T1^2*T2^4 + 68*T1^3*T2^4 + 142*T1^4*T2^4 - 308*T1^5*T2^4 + 
     142*T1^6*T2^4 + 68*T1^7*T2^4 - 90*T1^8*T2^4 + 11*T1^9*T2^4 + 
     11*T1^10*T2^4 - 5*T2^5 - 30*T1*T2^5 + 68*T1^2*T2^5 + 68*T1^3*T2^5 - 
     308*T1^4*T2^5 + 272*T1^5*T2^5 + 272*T1^6*T2^5 - 308*T1^7*T2^5 + 
     68*T1^8*T2^5 + 68*T1^9*T2^5 - 30*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 + 8*T1^2*T2^6 - 148*T1^3*T2^6 + 142*T1^4*T2^6 + 
     272*T1^5*T2^6 - 780*T1^6*T2^6 + 272*T1^7*T2^6 + 142*T1^8*T2^6 - 
     148*T1^9*T2^6 + 8*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     30*T1^2*T2^7 + 68*T1^3*T2^7 + 68*T1^4*T2^7 - 308*T1^5*T2^7 + 
     272*T1^6*T2^7 + 272*T1^7*T2^7 - 308*T1^8*T2^7 + 68*T1^9*T2^7 + 
     68*T1^10*T2^7 - 30*T1^11*T2^7 - 5*T1^12*T2^7 + 11*T1^2*T2^8 + 
     11*T1^3*T2^8 - 90*T1^4*T2^8 + 68*T1^5*T2^8 + 142*T1^6*T2^8 - 
     308*T1^7*T2^8 + 142*T1^8*T2^8 + 68*T1^9*T2^8 - 90*T1^10*T2^8 + 
     11*T1^11*T2^8 + 11*T1^12*T2^8 - 13*T1^3*T2^9 + 11*T1^4*T2^9 + 
     68*T1^5*T2^9 - 148*T1^6*T2^9 + 68*T1^7*T2^9 + 68*T1^8*T2^9 - 
     148*T1^9*T2^9 + 68*T1^10*T2^9 + 11*T1^11*T2^9 - 13*T1^12*T2^9 + 
     11*T1^4*T2^10 - 30*T1^5*T2^10 + 8*T1^6*T2^10 + 68*T1^7*T2^10 - 
     90*T1^8*T2^10 + 68*T1^9*T2^10 + 8*T1^10*T2^10 - 30*T1^11*T2^10 + 
     11*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 30*T1^7*T2^11 + 
     11*T1^8*T2^11 + 11*T1^9*T2^11 - 30*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 11*T1^8*T2^12 - 
     13*T1^9*T2^12 + 11*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   -((2*T1 - 7*T1^2 + 10*T1^3 - 7*T1^4 + 2*T1^5 + 2*T2 - 2*T1*T2 - 
      7*T1^2*T2 + 4*T1^3*T2 + 4*T1^4*T2 - 7*T1^5*T2 - 2*T1^6*T2 + 2*T1^7*T2 - 
      7*T2^2 - 7*T1*T2^2 - 14*T1^2*T2^2 + 202*T1^3*T2^2 - 290*T1^4*T2^2 + 
      202*T1^5*T2^2 - 14*T1^6*T2^2 - 7*T1^7*T2^2 - 7*T1^8*T2^2 + 10*T2^3 + 
      4*T1*T2^3 + 202*T1^2*T2^3 - 606*T1^3*T2^3 + 267*T1^4*T2^3 + 
      267*T1^5*T2^3 - 606*T1^6*T2^3 + 202*T1^7*T2^3 + 4*T1^8*T2^3 + 
      10*T1^9*T2^3 - 7*T2^4 + 4*T1*T2^4 - 290*T1^2*T2^4 + 267*T1^3*T2^4 + 
      976*T1^4*T2^4 - 1290*T1^5*T2^4 + 976*T1^6*T2^4 + 267*T1^7*T2^4 - 
      290*T1^8*T2^4 + 4*T1^9*T2^4 - 7*T1^10*T2^4 + 2*T2^5 - 7*T1*T2^5 + 
      202*T1^2*T2^5 + 267*T1^3*T2^5 - 1290*T1^4*T2^5 + 324*T1^5*T2^5 + 
      324*T1^6*T2^5 - 1290*T1^7*T2^5 + 267*T1^8*T2^5 + 202*T1^9*T2^5 - 
      7*T1^10*T2^5 + 2*T1^11*T2^5 - 2*T1*T2^6 - 14*T1^2*T2^6 - 
      606*T1^3*T2^6 + 976*T1^4*T2^6 + 324*T1^5*T2^6 - 180*T1^6*T2^6 + 
      324*T1^7*T2^6 + 976*T1^8*T2^6 - 606*T1^9*T2^6 - 14*T1^10*T2^6 - 
      2*T1^11*T2^6 + 2*T1*T2^7 - 7*T1^2*T2^7 + 202*T1^3*T2^7 + 
      267*T1^4*T2^7 - 1290*T1^5*T2^7 + 324*T1^6*T2^7 + 324*T1^7*T2^7 - 
      1290*T1^8*T2^7 + 267*T1^9*T2^7 + 202*T1^10*T2^7 - 7*T1^11*T2^7 + 
      2*T1^12*T2^7 - 7*T1^2*T2^8 + 4*T1^3*T2^8 - 290*T1^4*T2^8 + 
      267*T1^5*T2^8 + 976*T1^6*T2^8 - 1290*T1^7*T2^8 + 976*T1^8*T2^8 + 
      267*T1^9*T2^8 - 290*T1^10*T2^8 + 4*T1^11*T2^8 - 7*T1^12*T2^8 + 
      10*T1^3*T2^9 + 4*T1^4*T2^9 + 202*T1^5*T2^9 - 606*T1^6*T2^9 + 
      267*T1^7*T2^9 + 267*T1^8*T2^9 - 606*T1^9*T2^9 + 202*T1^10*T2^9 + 
      4*T1^11*T2^9 + 10*T1^12*T2^9 - 7*T1^4*T2^10 - 7*T1^5*T2^10 - 
      14*T1^6*T2^10 + 202*T1^7*T2^10 - 290*T1^8*T2^10 + 202*T1^9*T2^10 - 
      14*T1^10*T2^10 - 7*T1^11*T2^10 - 7*T1^12*T2^10 + 2*T1^5*T2^11 - 
      2*T1^6*T2^11 - 7*T1^7*T2^11 + 4*T1^8*T2^11 + 4*T1^9*T2^11 - 
      7*T1^10*T2^11 - 2*T1^11*T2^11 + 2*T1^12*T2^11 + 2*T1^7*T2^12 - 
      7*T1^8*T2^12 + 10*T1^9*T2^12 - 7*T1^10*T2^12 + 2*T1^11*T2^12)/
     (T1^6*T2^6))}, Knot[12, NonAlternating, 636] -> 
  {-(((-1 + 3*T - 4*T^2 + T^3)*(-1 + 4*T - 3*T^2 + T^3))/T^3), 
   -((T1^2 + T1^3 - 12*T1*T2 + 42*T1^2*T2 - 90*T1^3*T2 + 42*T1^4*T2 - 
      12*T1^5*T2 + T2^2 + 42*T1*T2^2 - 116*T1^2*T2^2 + 158*T1^3*T2^2 + 
      158*T1^4*T2^2 - 116*T1^5*T2^2 + 42*T1^6*T2^2 + T1^7*T2^2 + T2^3 - 
      90*T1*T2^3 + 158*T1^2*T2^3 - 59*T1^3*T2^3 - 535*T1^4*T2^3 - 
      59*T1^5*T2^3 + 158*T1^6*T2^3 - 90*T1^7*T2^3 + T1^8*T2^3 + 42*T1*T2^4 + 
      158*T1^2*T2^4 - 535*T1^3*T2^4 + 816*T1^4*T2^4 + 816*T1^5*T2^4 - 
      535*T1^6*T2^4 + 158*T1^7*T2^4 + 42*T1^8*T2^4 - 12*T1*T2^5 - 
      116*T1^2*T2^5 - 59*T1^3*T2^5 + 816*T1^4*T2^5 - 2436*T1^5*T2^5 + 
      816*T1^6*T2^5 - 59*T1^7*T2^5 - 116*T1^8*T2^5 - 12*T1^9*T2^5 + 
      42*T1^2*T2^6 + 158*T1^3*T2^6 - 535*T1^4*T2^6 + 816*T1^5*T2^6 + 
      816*T1^6*T2^6 - 535*T1^7*T2^6 + 158*T1^8*T2^6 + 42*T1^9*T2^6 + 
      T1^2*T2^7 - 90*T1^3*T2^7 + 158*T1^4*T2^7 - 59*T1^5*T2^7 - 
      535*T1^6*T2^7 - 59*T1^7*T2^7 + 158*T1^8*T2^7 - 90*T1^9*T2^7 + 
      T1^10*T2^7 + T1^3*T2^8 + 42*T1^4*T2^8 - 116*T1^5*T2^8 + 158*T1^6*T2^8 + 
      158*T1^7*T2^8 - 116*T1^8*T2^8 + 42*T1^9*T2^8 + T1^10*T2^8 - 
      12*T1^5*T2^9 + 42*T1^6*T2^9 - 90*T1^7*T2^9 + 42*T1^8*T2^9 - 
      12*T1^9*T2^9 + T1^7*T2^10 + T1^8*T2^10)/(T1^5*T2^5))}, 
 Knot[12, NonAlternating, 637] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 3*T + T^2)*(1 - T + T^2))/T^3, 
   (9 - 59*T1 + 146*T1^2 - 187*T1^3 + 146*T1^4 - 59*T1^5 + 9*T1^6 - 59*T2 + 
     328*T1*T2 - 567*T1^2*T2 + 263*T1^3*T2 + 263*T1^4*T2 - 567*T1^5*T2 + 
     328*T1^6*T2 - 59*T1^7*T2 + 146*T2^2 - 567*T1*T2^2 - 45*T1^2*T2^2 + 
     2300*T1^3*T2^2 - 3261*T1^4*T2^2 + 2300*T1^5*T2^2 - 45*T1^6*T2^2 - 
     567*T1^7*T2^2 + 146*T1^8*T2^2 - 187*T2^3 + 263*T1*T2^3 + 
     2300*T1^2*T2^3 - 5502*T1^3*T2^3 + 2452*T1^4*T2^3 + 2452*T1^5*T2^3 - 
     5502*T1^6*T2^3 + 2300*T1^7*T2^3 + 263*T1^8*T2^3 - 187*T1^9*T2^3 + 
     146*T2^4 + 263*T1*T2^4 - 3261*T1^2*T2^4 + 2452*T1^3*T2^4 + 
     7473*T1^4*T2^4 - 11219*T1^5*T2^4 + 7473*T1^6*T2^4 + 2452*T1^7*T2^4 - 
     3261*T1^8*T2^4 + 263*T1^9*T2^4 + 146*T1^10*T2^4 - 59*T2^5 - 
     567*T1*T2^5 + 2300*T1^2*T2^5 + 2452*T1^3*T2^5 - 11219*T1^4*T2^5 + 
     4832*T1^5*T2^5 + 4832*T1^6*T2^5 - 11219*T1^7*T2^5 + 2452*T1^8*T2^5 + 
     2300*T1^9*T2^5 - 567*T1^10*T2^5 - 59*T1^11*T2^5 + 9*T2^6 + 328*T1*T2^6 - 
     45*T1^2*T2^6 - 5502*T1^3*T2^6 + 7473*T1^4*T2^6 + 4832*T1^5*T2^6 - 
     8988*T1^6*T2^6 + 4832*T1^7*T2^6 + 7473*T1^8*T2^6 - 5502*T1^9*T2^6 - 
     45*T1^10*T2^6 + 328*T1^11*T2^6 + 9*T1^12*T2^6 - 59*T1*T2^7 - 
     567*T1^2*T2^7 + 2300*T1^3*T2^7 + 2452*T1^4*T2^7 - 11219*T1^5*T2^7 + 
     4832*T1^6*T2^7 + 4832*T1^7*T2^7 - 11219*T1^8*T2^7 + 2452*T1^9*T2^7 + 
     2300*T1^10*T2^7 - 567*T1^11*T2^7 - 59*T1^12*T2^7 + 146*T1^2*T2^8 + 
     263*T1^3*T2^8 - 3261*T1^4*T2^8 + 2452*T1^5*T2^8 + 7473*T1^6*T2^8 - 
     11219*T1^7*T2^8 + 7473*T1^8*T2^8 + 2452*T1^9*T2^8 - 3261*T1^10*T2^8 + 
     263*T1^11*T2^8 + 146*T1^12*T2^8 - 187*T1^3*T2^9 + 263*T1^4*T2^9 + 
     2300*T1^5*T2^9 - 5502*T1^6*T2^9 + 2452*T1^7*T2^9 + 2452*T1^8*T2^9 - 
     5502*T1^9*T2^9 + 2300*T1^10*T2^9 + 263*T1^11*T2^9 - 187*T1^12*T2^9 + 
     146*T1^4*T2^10 - 567*T1^5*T2^10 - 45*T1^6*T2^10 + 2300*T1^7*T2^10 - 
     3261*T1^8*T2^10 + 2300*T1^9*T2^10 - 45*T1^10*T2^10 - 567*T1^11*T2^10 + 
     146*T1^12*T2^10 - 59*T1^5*T2^11 + 328*T1^6*T2^11 - 567*T1^7*T2^11 + 
     263*T1^8*T2^11 + 263*T1^9*T2^11 - 567*T1^10*T2^11 + 328*T1^11*T2^11 - 
     59*T1^12*T2^11 + 9*T1^6*T2^12 - 59*T1^7*T2^12 + 146*T1^8*T2^12 - 
     187*T1^9*T2^12 + 146*T1^10*T2^12 - 59*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 638] -> 
  {((1 - T + T^2)*(2 - T - T^2 - T^3 + 2*T^4))/T^3, 
   (25 - 36*T1 + 22*T1^2 - 9*T1^3 + 22*T1^4 - 36*T1^5 + 25*T1^6 - 36*T2 + 
     18*T1*T2 + 15*T1^2*T2 - 15*T1^3*T2 - 15*T1^4*T2 + 15*T1^5*T2 + 
     18*T1^6*T2 - 36*T1^7*T2 + 22*T2^2 + 15*T1*T2^2 - 30*T1^2*T2^2 + 
     15*T1^3*T2^2 - 2*T1^4*T2^2 + 15*T1^5*T2^2 - 30*T1^6*T2^2 + 
     15*T1^7*T2^2 + 22*T1^8*T2^2 - 9*T2^3 - 15*T1*T2^3 + 15*T1^2*T2^3 - 
     4*T1^3*T2^3 - 4*T1^6*T2^3 + 15*T1^7*T2^3 - 15*T1^8*T2^3 - 9*T1^9*T2^3 + 
     22*T2^4 - 15*T1*T2^4 - 2*T1^2*T2^4 + 18*T1^4*T2^4 - 24*T1^5*T2^4 + 
     18*T1^6*T2^4 - 2*T1^8*T2^4 - 15*T1^9*T2^4 + 22*T1^10*T2^4 - 36*T2^5 + 
     15*T1*T2^5 + 15*T1^2*T2^5 - 24*T1^4*T2^5 + 6*T1^5*T2^5 + 6*T1^6*T2^5 - 
     24*T1^7*T2^5 + 15*T1^9*T2^5 + 15*T1^10*T2^5 - 36*T1^11*T2^5 + 25*T2^6 + 
     18*T1*T2^6 - 30*T1^2*T2^6 - 4*T1^3*T2^6 + 18*T1^4*T2^6 + 6*T1^5*T2^6 + 
     6*T1^7*T2^6 + 18*T1^8*T2^6 - 4*T1^9*T2^6 - 30*T1^10*T2^6 + 
     18*T1^11*T2^6 + 25*T1^12*T2^6 - 36*T1*T2^7 + 15*T1^2*T2^7 + 
     15*T1^3*T2^7 - 24*T1^5*T2^7 + 6*T1^6*T2^7 + 6*T1^7*T2^7 - 24*T1^8*T2^7 + 
     15*T1^10*T2^7 + 15*T1^11*T2^7 - 36*T1^12*T2^7 + 22*T1^2*T2^8 - 
     15*T1^3*T2^8 - 2*T1^4*T2^8 + 18*T1^6*T2^8 - 24*T1^7*T2^8 + 
     18*T1^8*T2^8 - 2*T1^10*T2^8 - 15*T1^11*T2^8 + 22*T1^12*T2^8 - 
     9*T1^3*T2^9 - 15*T1^4*T2^9 + 15*T1^5*T2^9 - 4*T1^6*T2^9 - 4*T1^9*T2^9 + 
     15*T1^10*T2^9 - 15*T1^11*T2^9 - 9*T1^12*T2^9 + 22*T1^4*T2^10 + 
     15*T1^5*T2^10 - 30*T1^6*T2^10 + 15*T1^7*T2^10 - 2*T1^8*T2^10 + 
     15*T1^9*T2^10 - 30*T1^10*T2^10 + 15*T1^11*T2^10 + 22*T1^12*T2^10 - 
     36*T1^5*T2^11 + 18*T1^6*T2^11 + 15*T1^7*T2^11 - 15*T1^8*T2^11 - 
     15*T1^9*T2^11 + 15*T1^10*T2^11 + 18*T1^11*T2^11 - 36*T1^12*T2^11 + 
     25*T1^6*T2^12 - 36*T1^7*T2^12 + 22*T1^8*T2^12 - 9*T1^9*T2^12 + 
     22*T1^10*T2^12 - 36*T1^11*T2^12 + 25*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 639] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2 - T^3 + T^4 - T^5 + T^6))/T^4), 
   -((3 - 12*T1 + 15*T1^2 - 15*T1^3 + 15*T1^4 - 15*T1^5 + 15*T1^6 - 12*T1^7 + 
      3*T1^8 - 12*T2 + 36*T1*T2 - 12*T1^2*T2 - 12*T1^7*T2 + 36*T1^8*T2 - 
      12*T1^9*T2 + 15*T2^2 - 12*T1*T2^2 - 99*T1^2*T2^2 + 101*T1^3*T2^2 - 
      82*T1^4*T2^2 + 79*T1^5*T2^2 - 82*T1^6*T2^2 + 101*T1^7*T2^2 - 
      99*T1^8*T2^2 - 12*T1^9*T2^2 + 15*T1^10*T2^2 - 15*T2^3 + 101*T1^2*T2^3 - 
      2*T1^3*T2^3 - 25*T1^4*T2^3 + 8*T1^5*T2^3 + 8*T1^6*T2^3 - 25*T1^7*T2^3 - 
      2*T1^8*T2^3 + 101*T1^9*T2^3 - 15*T1^11*T2^3 + 15*T2^4 - 82*T1^2*T2^4 - 
      25*T1^3*T2^4 - 20*T1^4*T2^4 + 47*T1^5*T2^4 - 48*T1^6*T2^4 + 
      47*T1^7*T2^4 - 20*T1^8*T2^4 - 25*T1^9*T2^4 - 82*T1^10*T2^4 + 
      15*T1^12*T2^4 - 15*T2^5 + 79*T1^2*T2^5 + 8*T1^3*T2^5 + 47*T1^4*T2^5 - 
      14*T1^5*T2^5 - 4*T1^6*T2^5 - 4*T1^7*T2^5 - 14*T1^8*T2^5 + 
      47*T1^9*T2^5 + 8*T1^10*T2^5 + 79*T1^11*T2^5 - 15*T1^13*T2^5 + 15*T2^6 - 
      82*T1^2*T2^6 + 8*T1^3*T2^6 - 48*T1^4*T2^6 - 4*T1^5*T2^6 - 5*T1^6*T2^6 + 
      25*T1^7*T2^6 - 5*T1^8*T2^6 - 4*T1^9*T2^6 - 48*T1^10*T2^6 + 
      8*T1^11*T2^6 - 82*T1^12*T2^6 + 15*T1^14*T2^6 - 12*T2^7 - 12*T1*T2^7 + 
      101*T1^2*T2^7 - 25*T1^3*T2^7 + 47*T1^4*T2^7 - 4*T1^5*T2^7 + 
      25*T1^6*T2^7 - 20*T1^7*T2^7 - 20*T1^8*T2^7 + 25*T1^9*T2^7 - 
      4*T1^10*T2^7 + 47*T1^11*T2^7 - 25*T1^12*T2^7 + 101*T1^13*T2^7 - 
      12*T1^14*T2^7 - 12*T1^15*T2^7 + 3*T2^8 + 36*T1*T2^8 - 99*T1^2*T2^8 - 
      2*T1^3*T2^8 - 20*T1^4*T2^8 - 14*T1^5*T2^8 - 5*T1^6*T2^8 - 
      20*T1^7*T2^8 + 48*T1^8*T2^8 - 20*T1^9*T2^8 - 5*T1^10*T2^8 - 
      14*T1^11*T2^8 - 20*T1^12*T2^8 - 2*T1^13*T2^8 - 99*T1^14*T2^8 + 
      36*T1^15*T2^8 + 3*T1^16*T2^8 - 12*T1*T2^9 - 12*T1^2*T2^9 + 
      101*T1^3*T2^9 - 25*T1^4*T2^9 + 47*T1^5*T2^9 - 4*T1^6*T2^9 + 
      25*T1^7*T2^9 - 20*T1^8*T2^9 - 20*T1^9*T2^9 + 25*T1^10*T2^9 - 
      4*T1^11*T2^9 + 47*T1^12*T2^9 - 25*T1^13*T2^9 + 101*T1^14*T2^9 - 
      12*T1^15*T2^9 - 12*T1^16*T2^9 + 15*T1^2*T2^10 - 82*T1^4*T2^10 + 
      8*T1^5*T2^10 - 48*T1^6*T2^10 - 4*T1^7*T2^10 - 5*T1^8*T2^10 + 
      25*T1^9*T2^10 - 5*T1^10*T2^10 - 4*T1^11*T2^10 - 48*T1^12*T2^10 + 
      8*T1^13*T2^10 - 82*T1^14*T2^10 + 15*T1^16*T2^10 - 15*T1^3*T2^11 + 
      79*T1^5*T2^11 + 8*T1^6*T2^11 + 47*T1^7*T2^11 - 14*T1^8*T2^11 - 
      4*T1^9*T2^11 - 4*T1^10*T2^11 - 14*T1^11*T2^11 + 47*T1^12*T2^11 + 
      8*T1^13*T2^11 + 79*T1^14*T2^11 - 15*T1^16*T2^11 + 15*T1^4*T2^12 - 
      82*T1^6*T2^12 - 25*T1^7*T2^12 - 20*T1^8*T2^12 + 47*T1^9*T2^12 - 
      48*T1^10*T2^12 + 47*T1^11*T2^12 - 20*T1^12*T2^12 - 25*T1^13*T2^12 - 
      82*T1^14*T2^12 + 15*T1^16*T2^12 - 15*T1^5*T2^13 + 101*T1^7*T2^13 - 
      2*T1^8*T2^13 - 25*T1^9*T2^13 + 8*T1^10*T2^13 + 8*T1^11*T2^13 - 
      25*T1^12*T2^13 - 2*T1^13*T2^13 + 101*T1^14*T2^13 - 15*T1^16*T2^13 + 
      15*T1^6*T2^14 - 12*T1^7*T2^14 - 99*T1^8*T2^14 + 101*T1^9*T2^14 - 
      82*T1^10*T2^14 + 79*T1^11*T2^14 - 82*T1^12*T2^14 + 101*T1^13*T2^14 - 
      99*T1^14*T2^14 - 12*T1^15*T2^14 + 15*T1^16*T2^14 - 12*T1^7*T2^15 + 
      36*T1^8*T2^15 - 12*T1^9*T2^15 - 12*T1^14*T2^15 + 36*T1^15*T2^15 - 
      12*T1^16*T2^15 + 3*T1^8*T2^16 - 12*T1^9*T2^16 + 15*T1^10*T2^16 - 
      15*T1^11*T2^16 + 15*T1^12*T2^16 - 15*T1^13*T2^16 + 15*T1^14*T2^16 - 
      12*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   (4 - 12*T1^2 + 28*T1^3 - 36*T1^4 + 28*T1^5 - 12*T1^6 + 4*T1^8 - T1^2*T2 + 
     2*T1^3*T2 - T1^4*T2 - T1^5*T2 + 2*T1^6*T2 - T1^7*T2 - 12*T2^2 - 
     T1*T2^2 + 27*T1^2*T2^2 - 79*T1^3*T2^2 + 123*T1^4*T2^2 - 139*T1^5*T2^2 + 
     123*T1^6*T2^2 - 79*T1^7*T2^2 + 27*T1^8*T2^2 - T1^9*T2^2 - 
     12*T1^10*T2^2 + 28*T2^3 + 2*T1*T2^3 - 79*T1^2*T2^3 + 180*T1^3*T2^3 - 
     189*T1^4*T2^3 + 82*T1^5*T2^3 + 82*T1^6*T2^3 - 189*T1^7*T2^3 + 
     180*T1^8*T2^3 - 79*T1^9*T2^3 + 2*T1^10*T2^3 + 28*T1^11*T2^3 - 36*T2^4 - 
     T1*T2^4 + 123*T1^2*T2^4 - 189*T1^3*T2^4 + 137*T1^4*T2^4 - 10*T1^5*T2^4 - 
     69*T1^6*T2^4 - 10*T1^7*T2^4 + 137*T1^8*T2^4 - 189*T1^9*T2^4 + 
     123*T1^10*T2^4 - T1^11*T2^4 - 36*T1^12*T2^4 + 28*T2^5 - T1*T2^5 - 
     139*T1^2*T2^5 + 82*T1^3*T2^5 - 10*T1^4*T2^5 - 82*T1^5*T2^5 + 
     65*T1^6*T2^5 + 65*T1^7*T2^5 - 82*T1^8*T2^5 - 10*T1^9*T2^5 + 
     82*T1^10*T2^5 - 139*T1^11*T2^5 - T1^12*T2^5 + 28*T1^13*T2^5 - 12*T2^6 + 
     2*T1*T2^6 + 123*T1^2*T2^6 + 82*T1^3*T2^6 - 69*T1^4*T2^6 + 65*T1^5*T2^6 + 
     78*T1^6*T2^6 - 196*T1^7*T2^6 + 78*T1^8*T2^6 + 65*T1^9*T2^6 - 
     69*T1^10*T2^6 + 82*T1^11*T2^6 + 123*T1^12*T2^6 + 2*T1^13*T2^6 - 
     12*T1^14*T2^6 - T1*T2^7 - 79*T1^2*T2^7 - 189*T1^3*T2^7 - 10*T1^4*T2^7 + 
     65*T1^5*T2^7 - 196*T1^6*T2^7 + 128*T1^7*T2^7 + 128*T1^8*T2^7 - 
     196*T1^9*T2^7 + 65*T1^10*T2^7 - 10*T1^11*T2^7 - 189*T1^12*T2^7 - 
     79*T1^13*T2^7 - T1^14*T2^7 + 4*T2^8 + 27*T1^2*T2^8 + 180*T1^3*T2^8 + 
     137*T1^4*T2^8 - 82*T1^5*T2^8 + 78*T1^6*T2^8 + 128*T1^7*T2^8 - 
     288*T1^8*T2^8 + 128*T1^9*T2^8 + 78*T1^10*T2^8 - 82*T1^11*T2^8 + 
     137*T1^12*T2^8 + 180*T1^13*T2^8 + 27*T1^14*T2^8 + 4*T1^16*T2^8 - 
     T1^2*T2^9 - 79*T1^3*T2^9 - 189*T1^4*T2^9 - 10*T1^5*T2^9 + 65*T1^6*T2^9 - 
     196*T1^7*T2^9 + 128*T1^8*T2^9 + 128*T1^9*T2^9 - 196*T1^10*T2^9 + 
     65*T1^11*T2^9 - 10*T1^12*T2^9 - 189*T1^13*T2^9 - 79*T1^14*T2^9 - 
     T1^15*T2^9 - 12*T1^2*T2^10 + 2*T1^3*T2^10 + 123*T1^4*T2^10 + 
     82*T1^5*T2^10 - 69*T1^6*T2^10 + 65*T1^7*T2^10 + 78*T1^8*T2^10 - 
     196*T1^9*T2^10 + 78*T1^10*T2^10 + 65*T1^11*T2^10 - 69*T1^12*T2^10 + 
     82*T1^13*T2^10 + 123*T1^14*T2^10 + 2*T1^15*T2^10 - 12*T1^16*T2^10 + 
     28*T1^3*T2^11 - T1^4*T2^11 - 139*T1^5*T2^11 + 82*T1^6*T2^11 - 
     10*T1^7*T2^11 - 82*T1^8*T2^11 + 65*T1^9*T2^11 + 65*T1^10*T2^11 - 
     82*T1^11*T2^11 - 10*T1^12*T2^11 + 82*T1^13*T2^11 - 139*T1^14*T2^11 - 
     T1^15*T2^11 + 28*T1^16*T2^11 - 36*T1^4*T2^12 - T1^5*T2^12 + 
     123*T1^6*T2^12 - 189*T1^7*T2^12 + 137*T1^8*T2^12 - 10*T1^9*T2^12 - 
     69*T1^10*T2^12 - 10*T1^11*T2^12 + 137*T1^12*T2^12 - 189*T1^13*T2^12 + 
     123*T1^14*T2^12 - T1^15*T2^12 - 36*T1^16*T2^12 + 28*T1^5*T2^13 + 
     2*T1^6*T2^13 - 79*T1^7*T2^13 + 180*T1^8*T2^13 - 189*T1^9*T2^13 + 
     82*T1^10*T2^13 + 82*T1^11*T2^13 - 189*T1^12*T2^13 + 180*T1^13*T2^13 - 
     79*T1^14*T2^13 + 2*T1^15*T2^13 + 28*T1^16*T2^13 - 12*T1^6*T2^14 - 
     T1^7*T2^14 + 27*T1^8*T2^14 - 79*T1^9*T2^14 + 123*T1^10*T2^14 - 
     139*T1^11*T2^14 + 123*T1^12*T2^14 - 79*T1^13*T2^14 + 27*T1^14*T2^14 - 
     T1^15*T2^14 - 12*T1^16*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 + 4*T1^8*T2^16 - 
     12*T1^10*T2^16 + 28*T1^11*T2^16 - 36*T1^12*T2^16 + 28*T1^13*T2^16 - 
     12*T1^14*T2^16 + 4*T1^16*T2^16)/(T1^8*T2^8)}, 
 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 + 24*T1*T2 - 40*T1^2*T2 + 32*T1^3*T2 - 16*T1^4*T2 - 
      16*T1^5*T2 + 32*T1^6*T2 - 40*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 
      18*T2^2 - 40*T1*T2^2 + 51*T1^2*T2^2 - 10*T1^3*T2^2 - 2*T1^4*T2^2 + 
      33*T1^5*T2^2 - 2*T1^6*T2^2 - 10*T1^7*T2^2 + 51*T1^8*T2^2 - 
      40*T1^9*T2^2 + 18*T1^10*T2^2 - 26*T2^3 + 32*T1*T2^3 - 10*T1^2*T2^3 - 
      76*T1^3*T2^3 + 41*T1^4*T2^3 - 51*T1^5*T2^3 - 51*T1^6*T2^3 + 
      41*T1^7*T2^3 - 76*T1^8*T2^3 - 10*T1^9*T2^3 + 32*T1^10*T2^3 - 
      26*T1^11*T2^3 + 30*T2^4 - 16*T1*T2^4 - 2*T1^2*T2^4 + 41*T1^3*T2^4 + 
      137*T1^4*T2^4 - 153*T1^5*T2^4 + 281*T1^6*T2^4 - 153*T1^7*T2^4 + 
      137*T1^8*T2^4 + 41*T1^9*T2^4 - 2*T1^10*T2^4 - 16*T1^11*T2^4 + 
      30*T1^12*T2^4 - 26*T2^5 - 16*T1*T2^5 + 33*T1^2*T2^5 - 51*T1^3*T2^5 - 
      153*T1^4*T2^5 + 42*T1^5*T2^5 - 108*T1^6*T2^5 - 108*T1^7*T2^5 + 
      42*T1^8*T2^5 - 153*T1^9*T2^5 - 51*T1^10*T2^5 + 33*T1^11*T2^5 - 
      16*T1^12*T2^5 - 26*T1^13*T2^5 + 18*T2^6 + 32*T1*T2^6 - 2*T1^2*T2^6 - 
      51*T1^3*T2^6 + 281*T1^4*T2^6 - 108*T1^5*T2^6 + 224*T1^6*T2^6 - 
      50*T1^7*T2^6 + 224*T1^8*T2^6 - 108*T1^9*T2^6 + 281*T1^10*T2^6 - 
      51*T1^11*T2^6 - 2*T1^12*T2^6 + 32*T1^13*T2^6 + 18*T1^14*T2^6 - 8*T2^7 - 
      40*T1*T2^7 - 10*T1^2*T2^7 + 41*T1^3*T2^7 - 153*T1^4*T2^7 - 
      108*T1^5*T2^7 - 50*T1^6*T2^7 - 100*T1^7*T2^7 - 100*T1^8*T2^7 - 
      50*T1^9*T2^7 - 108*T1^10*T2^7 - 153*T1^11*T2^7 + 41*T1^12*T2^7 - 
      10*T1^13*T2^7 - 40*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 24*T1*T2^8 + 
      51*T1^2*T2^8 - 76*T1^3*T2^8 + 137*T1^4*T2^8 + 42*T1^5*T2^8 + 
      224*T1^6*T2^8 - 100*T1^7*T2^8 + 288*T1^8*T2^8 - 100*T1^9*T2^8 + 
      224*T1^10*T2^8 + 42*T1^11*T2^8 + 137*T1^12*T2^8 - 76*T1^13*T2^8 + 
      51*T1^14*T2^8 + 24*T1^15*T2^8 + 2*T1^16*T2^8 - 8*T1*T2^9 - 
      40*T1^2*T2^9 - 10*T1^3*T2^9 + 41*T1^4*T2^9 - 153*T1^5*T2^9 - 
      108*T1^6*T2^9 - 50*T1^7*T2^9 - 100*T1^8*T2^9 - 100*T1^9*T2^9 - 
      50*T1^10*T2^9 - 108*T1^11*T2^9 - 153*T1^12*T2^9 + 41*T1^13*T2^9 - 
      10*T1^14*T2^9 - 40*T1^15*T2^9 - 8*T1^16*T2^9 + 18*T1^2*T2^10 + 
      32*T1^3*T2^10 - 2*T1^4*T2^10 - 51*T1^5*T2^10 + 281*T1^6*T2^10 - 
      108*T1^7*T2^10 + 224*T1^8*T2^10 - 50*T1^9*T2^10 + 224*T1^10*T2^10 - 
      108*T1^11*T2^10 + 281*T1^12*T2^10 - 51*T1^13*T2^10 - 2*T1^14*T2^10 + 
      32*T1^15*T2^10 + 18*T1^16*T2^10 - 26*T1^3*T2^11 - 16*T1^4*T2^11 + 
      33*T1^5*T2^11 - 51*T1^6*T2^11 - 153*T1^7*T2^11 + 42*T1^8*T2^11 - 
      108*T1^9*T2^11 - 108*T1^10*T2^11 + 42*T1^11*T2^11 - 153*T1^12*T2^11 - 
      51*T1^13*T2^11 + 33*T1^14*T2^11 - 16*T1^15*T2^11 - 26*T1^16*T2^11 + 
      30*T1^4*T2^12 - 16*T1^5*T2^12 - 2*T1^6*T2^12 + 41*T1^7*T2^12 + 
      137*T1^8*T2^12 - 153*T1^9*T2^12 + 281*T1^10*T2^12 - 153*T1^11*T2^12 + 
      137*T1^12*T2^12 + 41*T1^13*T2^12 - 2*T1^14*T2^12 - 16*T1^15*T2^12 + 
      30*T1^16*T2^12 - 26*T1^5*T2^13 + 32*T1^6*T2^13 - 10*T1^7*T2^13 - 
      76*T1^8*T2^13 + 41*T1^9*T2^13 - 51*T1^10*T2^13 - 51*T1^11*T2^13 + 
      41*T1^12*T2^13 - 76*T1^13*T2^13 - 10*T1^14*T2^13 + 32*T1^15*T2^13 - 
      26*T1^16*T2^13 + 18*T1^6*T2^14 - 40*T1^7*T2^14 + 51*T1^8*T2^14 - 
      10*T1^9*T2^14 - 2*T1^10*T2^14 + 33*T1^11*T2^14 - 2*T1^12*T2^14 - 
      10*T1^13*T2^14 + 51*T1^14*T2^14 - 40*T1^15*T2^14 + 18*T1^16*T2^14 - 
      8*T1^7*T2^15 + 24*T1^8*T2^15 - 40*T1^9*T2^15 + 32*T1^10*T2^15 - 
      16*T1^11*T2^15 - 16*T1^12*T2^15 + 32*T1^13*T2^15 - 40*T1^14*T2^15 + 
      24*T1^15*T2^15 - 8*T1^16*T2^15 + 2*T1^8*T2^16 - 8*T1^9*T2^16 + 
      18*T1^10*T2^16 - 26*T1^11*T2^16 + 30*T1^12*T2^16 - 26*T1^13*T2^16 + 
      18*T1^14*T2^16 - 8*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 642] -> {(1 + 7*T - 15*T^2 + 7*T^3 + T^4)/T^2, 
   -((2 + 14*T1 - 30*T1^2 + 14*T1^3 + 2*T1^4 + 14*T2 + 88*T1*T2 - 
      88*T1^2*T2 - 88*T1^3*T2 + 88*T1^4*T2 + 14*T1^5*T2 - 30*T2^2 - 
      88*T1*T2^2 + 1095*T1^2*T2^2 - 1879*T1^3*T2^2 + 1095*T1^4*T2^2 - 
      88*T1^5*T2^2 - 30*T1^6*T2^2 + 14*T2^3 - 88*T1*T2^3 - 1879*T1^2*T2^3 + 
      1696*T1^3*T2^3 + 1696*T1^4*T2^3 - 1879*T1^5*T2^3 - 88*T1^6*T2^3 + 
      14*T1^7*T2^3 + 2*T2^4 + 88*T1*T2^4 + 1095*T1^2*T2^4 + 1696*T1^3*T2^4 - 
      4944*T1^4*T2^4 + 1696*T1^5*T2^4 + 1095*T1^6*T2^4 + 88*T1^7*T2^4 + 
      2*T1^8*T2^4 + 14*T1*T2^5 - 88*T1^2*T2^5 - 1879*T1^3*T2^5 + 
      1696*T1^4*T2^5 + 1696*T1^5*T2^5 - 1879*T1^6*T2^5 - 88*T1^7*T2^5 + 
      14*T1^8*T2^5 - 30*T1^2*T2^6 - 88*T1^3*T2^6 + 1095*T1^4*T2^6 - 
      1879*T1^5*T2^6 + 1095*T1^6*T2^6 - 88*T1^7*T2^6 - 30*T1^8*T2^6 + 
      14*T1^3*T2^7 + 88*T1^4*T2^7 - 88*T1^5*T2^7 - 88*T1^6*T2^7 + 
      88*T1^7*T2^7 + 14*T1^8*T2^7 + 2*T1^4*T2^8 + 14*T1^5*T2^8 - 
      30*T1^6*T2^8 + 14*T1^7*T2^8 + 2*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, NonAlternating, 643] -> 
  {-((2 - 8*T + 10*T^2 - 9*T^3 + 10*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((17 - 68*T1 + 84*T1^2 - 75*T1^3 + 84*T1^4 - 68*T1^5 + 17*T1^6 - 68*T2 + 
      204*T1*T2 - 64*T1^2*T2 - 36*T1^3*T2 - 36*T1^4*T2 - 64*T1^5*T2 + 
      204*T1^6*T2 - 68*T1^7*T2 + 84*T2^2 - 64*T1*T2^2 - 574*T1^2*T2^2 + 
      624*T1^3*T2^2 - 364*T1^4*T2^2 + 624*T1^5*T2^2 - 574*T1^6*T2^2 - 
      64*T1^7*T2^2 + 84*T1^8*T2^2 - 75*T2^3 - 36*T1*T2^3 + 624*T1^2*T2^3 - 
      106*T1^3*T2^3 - 214*T1^4*T2^3 - 214*T1^5*T2^3 - 106*T1^6*T2^3 + 
      624*T1^7*T2^3 - 36*T1^8*T2^3 - 75*T1^9*T2^3 + 84*T2^4 - 36*T1*T2^4 - 
      364*T1^2*T2^4 - 214*T1^3*T2^4 + 229*T1^4*T2^4 + 125*T1^5*T2^4 + 
      229*T1^6*T2^4 - 214*T1^7*T2^4 - 364*T1^8*T2^4 - 36*T1^9*T2^4 + 
      84*T1^10*T2^4 - 68*T2^5 - 64*T1*T2^5 + 624*T1^2*T2^5 - 214*T1^3*T2^5 + 
      125*T1^4*T2^5 - 142*T1^5*T2^5 - 142*T1^6*T2^5 + 125*T1^7*T2^5 - 
      214*T1^8*T2^5 + 624*T1^9*T2^5 - 64*T1^10*T2^5 - 68*T1^11*T2^5 + 
      17*T2^6 + 204*T1*T2^6 - 574*T1^2*T2^6 - 106*T1^3*T2^6 + 229*T1^4*T2^6 - 
      142*T1^5*T2^6 + 204*T1^6*T2^6 - 142*T1^7*T2^6 + 229*T1^8*T2^6 - 
      106*T1^9*T2^6 - 574*T1^10*T2^6 + 204*T1^11*T2^6 + 17*T1^12*T2^6 - 
      68*T1*T2^7 - 64*T1^2*T2^7 + 624*T1^3*T2^7 - 214*T1^4*T2^7 + 
      125*T1^5*T2^7 - 142*T1^6*T2^7 - 142*T1^7*T2^7 + 125*T1^8*T2^7 - 
      214*T1^9*T2^7 + 624*T1^10*T2^7 - 64*T1^11*T2^7 - 68*T1^12*T2^7 + 
      84*T1^2*T2^8 - 36*T1^3*T2^8 - 364*T1^4*T2^8 - 214*T1^5*T2^8 + 
      229*T1^6*T2^8 + 125*T1^7*T2^8 + 229*T1^8*T2^8 - 214*T1^9*T2^8 - 
      364*T1^10*T2^8 - 36*T1^11*T2^8 + 84*T1^12*T2^8 - 75*T1^3*T2^9 - 
      36*T1^4*T2^9 + 624*T1^5*T2^9 - 106*T1^6*T2^9 - 214*T1^7*T2^9 - 
      214*T1^8*T2^9 - 106*T1^9*T2^9 + 624*T1^10*T2^9 - 36*T1^11*T2^9 - 
      75*T1^12*T2^9 + 84*T1^4*T2^10 - 64*T1^5*T2^10 - 574*T1^6*T2^10 + 
      624*T1^7*T2^10 - 364*T1^8*T2^10 + 624*T1^9*T2^10 - 574*T1^10*T2^10 - 
      64*T1^11*T2^10 + 84*T1^12*T2^10 - 68*T1^5*T2^11 + 204*T1^6*T2^11 - 
      64*T1^7*T2^11 - 36*T1^8*T2^11 - 36*T1^9*T2^11 - 64*T1^10*T2^11 + 
      204*T1^11*T2^11 - 68*T1^12*T2^11 + 17*T1^6*T2^12 - 68*T1^7*T2^12 + 
      84*T1^8*T2^12 - 75*T1^9*T2^12 + 84*T1^10*T2^12 - 68*T1^11*T2^12 + 
      17*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 644] -> 
  {(2 - 2*T + T^3 - 2*T^5 + 2*T^6)/T^3, 
   (25 - 24*T1 - 2*T1^2 + 15*T1^3 - 2*T1^4 - 24*T1^5 + 25*T1^6 - 24*T2 + 
     21*T1^2*T2 - 9*T1^3*T2 - 9*T1^4*T2 + 21*T1^5*T2 - 24*T1^7*T2 - 2*T2^2 + 
     21*T1*T2^2 - 19*T1^2*T2^2 + 3*T1^3*T2^2 - T1^4*T2^2 + 3*T1^5*T2^2 - 
     19*T1^6*T2^2 + 21*T1^7*T2^2 - 2*T1^8*T2^2 + 15*T2^3 - 9*T1*T2^3 + 
     3*T1^2*T2^3 + 4*T1^3*T2^3 - T1^4*T2^3 - T1^5*T2^3 + 4*T1^6*T2^3 + 
     3*T1^7*T2^3 - 9*T1^8*T2^3 + 15*T1^9*T2^3 - 2*T2^4 - 9*T1*T2^4 - 
     T1^2*T2^4 - T1^3*T2^4 + 6*T1^4*T2^4 - 8*T1^5*T2^4 + 6*T1^6*T2^4 - 
     T1^7*T2^4 - T1^8*T2^4 - 9*T1^9*T2^4 - 2*T1^10*T2^4 - 24*T2^5 + 
     21*T1*T2^5 + 3*T1^2*T2^5 - T1^3*T2^5 - 8*T1^4*T2^5 + 2*T1^5*T2^5 + 
     2*T1^6*T2^5 - 8*T1^7*T2^5 - T1^8*T2^5 + 3*T1^9*T2^5 + 21*T1^10*T2^5 - 
     24*T1^11*T2^5 + 25*T2^6 - 19*T1^2*T2^6 + 4*T1^3*T2^6 + 6*T1^4*T2^6 + 
     2*T1^5*T2^6 + 2*T1^7*T2^6 + 6*T1^8*T2^6 + 4*T1^9*T2^6 - 19*T1^10*T2^6 + 
     25*T1^12*T2^6 - 24*T1*T2^7 + 21*T1^2*T2^7 + 3*T1^3*T2^7 - T1^4*T2^7 - 
     8*T1^5*T2^7 + 2*T1^6*T2^7 + 2*T1^7*T2^7 - 8*T1^8*T2^7 - T1^9*T2^7 + 
     3*T1^10*T2^7 + 21*T1^11*T2^7 - 24*T1^12*T2^7 - 2*T1^2*T2^8 - 
     9*T1^3*T2^8 - T1^4*T2^8 - T1^5*T2^8 + 6*T1^6*T2^8 - 8*T1^7*T2^8 + 
     6*T1^8*T2^8 - T1^9*T2^8 - T1^10*T2^8 - 9*T1^11*T2^8 - 2*T1^12*T2^8 + 
     15*T1^3*T2^9 - 9*T1^4*T2^9 + 3*T1^5*T2^9 + 4*T1^6*T2^9 - T1^7*T2^9 - 
     T1^8*T2^9 + 4*T1^9*T2^9 + 3*T1^10*T2^9 - 9*T1^11*T2^9 + 15*T1^12*T2^9 - 
     2*T1^4*T2^10 + 21*T1^5*T2^10 - 19*T1^6*T2^10 + 3*T1^7*T2^10 - 
     T1^8*T2^10 + 3*T1^9*T2^10 - 19*T1^10*T2^10 + 21*T1^11*T2^10 - 
     2*T1^12*T2^10 - 24*T1^5*T2^11 + 21*T1^7*T2^11 - 9*T1^8*T2^11 - 
     9*T1^9*T2^11 + 21*T1^10*T2^11 - 24*T1^12*T2^11 + 25*T1^6*T2^12 - 
     24*T1^7*T2^12 - 2*T1^8*T2^12 + 15*T1^9*T2^12 - 2*T1^10*T2^12 - 
     24*T1^11*T2^12 + 25*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 645] -> 
  {(2 - 8*T + 16*T^2 - 19*T^3 + 16*T^4 - 8*T^5 + 2*T^6)/T^3, 
   -((9 - 36*T1 + 72*T1^2 - 85*T1^3 + 72*T1^4 - 36*T1^5 + 9*T1^6 - 36*T2 + 
      108*T1*T2 - 144*T1^2*T2 + 52*T1^3*T2 + 52*T1^4*T2 - 144*T1^5*T2 + 
      108*T1^6*T2 - 36*T1^7*T2 + 72*T2^2 - 144*T1*T2^2 + 72*T1^2*T2^2 + 
      208*T1^3*T2^2 - 256*T1^4*T2^2 + 208*T1^5*T2^2 + 72*T1^6*T2^2 - 
      144*T1^7*T2^2 + 72*T1^8*T2^2 - 85*T2^3 + 52*T1*T2^3 + 208*T1^2*T2^3 - 
      542*T1^3*T2^3 + 172*T1^4*T2^3 + 172*T1^5*T2^3 - 542*T1^6*T2^3 + 
      208*T1^7*T2^3 + 52*T1^8*T2^3 - 85*T1^9*T2^3 + 72*T2^4 + 52*T1*T2^4 - 
      256*T1^2*T2^4 + 172*T1^3*T2^4 + 810*T1^4*T2^4 - 1044*T1^5*T2^4 + 
      810*T1^6*T2^4 + 172*T1^7*T2^4 - 256*T1^8*T2^4 + 52*T1^9*T2^4 + 
      72*T1^10*T2^4 - 36*T2^5 - 144*T1*T2^5 + 208*T1^2*T2^5 + 172*T1^3*T2^5 - 
      1044*T1^4*T2^5 + 420*T1^5*T2^5 + 420*T1^6*T2^5 - 1044*T1^7*T2^5 + 
      172*T1^8*T2^5 + 208*T1^9*T2^5 - 144*T1^10*T2^5 - 36*T1^11*T2^5 + 
      9*T2^6 + 108*T1*T2^6 + 72*T1^2*T2^6 - 542*T1^3*T2^6 + 810*T1^4*T2^6 + 
      420*T1^5*T2^6 - 840*T1^6*T2^6 + 420*T1^7*T2^6 + 810*T1^8*T2^6 - 
      542*T1^9*T2^6 + 72*T1^10*T2^6 + 108*T1^11*T2^6 + 9*T1^12*T2^6 - 
      36*T1*T2^7 - 144*T1^2*T2^7 + 208*T1^3*T2^7 + 172*T1^4*T2^7 - 
      1044*T1^5*T2^7 + 420*T1^6*T2^7 + 420*T1^7*T2^7 - 1044*T1^8*T2^7 + 
      172*T1^9*T2^7 + 208*T1^10*T2^7 - 144*T1^11*T2^7 - 36*T1^12*T2^7 + 
      72*T1^2*T2^8 + 52*T1^3*T2^8 - 256*T1^4*T2^8 + 172*T1^5*T2^8 + 
      810*T1^6*T2^8 - 1044*T1^7*T2^8 + 810*T1^8*T2^8 + 172*T1^9*T2^8 - 
      256*T1^10*T2^8 + 52*T1^11*T2^8 + 72*T1^12*T2^8 - 85*T1^3*T2^9 + 
      52*T1^4*T2^9 + 208*T1^5*T2^9 - 542*T1^6*T2^9 + 172*T1^7*T2^9 + 
      172*T1^8*T2^9 - 542*T1^9*T2^9 + 208*T1^10*T2^9 + 52*T1^11*T2^9 - 
      85*T1^12*T2^9 + 72*T1^4*T2^10 - 144*T1^5*T2^10 + 72*T1^6*T2^10 + 
      208*T1^7*T2^10 - 256*T1^8*T2^10 + 208*T1^9*T2^10 + 72*T1^10*T2^10 - 
      144*T1^11*T2^10 + 72*T1^12*T2^10 - 36*T1^5*T2^11 + 108*T1^6*T2^11 - 
      144*T1^7*T2^11 + 52*T1^8*T2^11 + 52*T1^9*T2^11 - 144*T1^10*T2^11 + 
      108*T1^11*T2^11 - 36*T1^12*T2^11 + 9*T1^6*T2^12 - 36*T1^7*T2^12 + 
      72*T1^8*T2^12 - 85*T1^9*T2^12 + 72*T1^10*T2^12 - 36*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, 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), -((1 - 5*T1 + 12*T1^2 - 21*T1^3 + 25*T1^4 - 21*T1^5 + 12*T1^6 - 
      5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 35*T1^2*T2 + 45*T1^3*T2 - 
      20*T1^4*T2 - 20*T1^5*T2 + 45*T1^6*T2 - 35*T1^7*T2 + 20*T1^8*T2 - 
      5*T1^9*T2 + 12*T2^2 - 35*T1*T2^2 + 31*T1^2*T2^2 - 10*T1^3*T2^2 - 
      91*T1^4*T2^2 + 137*T1^5*T2^2 - 91*T1^6*T2^2 - 10*T1^7*T2^2 + 
      31*T1^8*T2^2 - 35*T1^9*T2^2 + 12*T1^10*T2^2 - 21*T2^3 + 45*T1*T2^3 - 
      10*T1^2*T2^3 - 18*T1^3*T2^3 + 170*T1^4*T2^3 - 87*T1^5*T2^3 - 
      87*T1^6*T2^3 + 170*T1^7*T2^3 - 18*T1^8*T2^3 - 10*T1^9*T2^3 + 
      45*T1^10*T2^3 - 21*T1^11*T2^3 + 25*T2^4 - 20*T1*T2^4 - 91*T1^2*T2^4 + 
      170*T1^3*T2^4 - 400*T1^4*T2^4 + 108*T1^5*T2^4 + 52*T1^6*T2^4 + 
      108*T1^7*T2^4 - 400*T1^8*T2^4 + 170*T1^9*T2^4 - 91*T1^10*T2^4 - 
      20*T1^11*T2^4 + 25*T1^12*T2^4 - 21*T2^5 - 20*T1*T2^5 + 137*T1^2*T2^5 - 
      87*T1^3*T2^5 + 108*T1^4*T2^5 + 490*T1^5*T2^5 - 291*T1^6*T2^5 - 
      291*T1^7*T2^5 + 490*T1^8*T2^5 + 108*T1^9*T2^5 - 87*T1^10*T2^5 + 
      137*T1^11*T2^5 - 20*T1^12*T2^5 - 21*T1^13*T2^5 + 12*T2^6 + 45*T1*T2^6 - 
      91*T1^2*T2^6 - 87*T1^3*T2^6 + 52*T1^4*T2^6 - 291*T1^5*T2^6 - 
      726*T1^6*T2^6 + 1288*T1^7*T2^6 - 726*T1^8*T2^6 - 291*T1^9*T2^6 + 
      52*T1^10*T2^6 - 87*T1^11*T2^6 - 91*T1^12*T2^6 + 45*T1^13*T2^6 + 
      12*T1^14*T2^6 - 5*T2^7 - 35*T1*T2^7 - 10*T1^2*T2^7 + 170*T1^3*T2^7 + 
      108*T1^4*T2^7 - 291*T1^5*T2^7 + 1288*T1^6*T2^7 - 698*T1^7*T2^7 - 
      698*T1^8*T2^7 + 1288*T1^9*T2^7 - 291*T1^10*T2^7 + 108*T1^11*T2^7 + 
      170*T1^12*T2^7 - 10*T1^13*T2^7 - 35*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 
      20*T1*T2^8 + 31*T1^2*T2^8 - 18*T1^3*T2^8 - 400*T1^4*T2^8 + 
      490*T1^5*T2^8 - 726*T1^6*T2^8 - 698*T1^7*T2^8 + 1488*T1^8*T2^8 - 
      698*T1^9*T2^8 - 726*T1^10*T2^8 + 490*T1^11*T2^8 - 400*T1^12*T2^8 - 
      18*T1^13*T2^8 + 31*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 
      5*T1*T2^9 - 35*T1^2*T2^9 - 10*T1^3*T2^9 + 170*T1^4*T2^9 + 
      108*T1^5*T2^9 - 291*T1^6*T2^9 + 1288*T1^7*T2^9 - 698*T1^8*T2^9 - 
      698*T1^9*T2^9 + 1288*T1^10*T2^9 - 291*T1^11*T2^9 + 108*T1^12*T2^9 + 
      170*T1^13*T2^9 - 10*T1^14*T2^9 - 35*T1^15*T2^9 - 5*T1^16*T2^9 + 
      12*T1^2*T2^10 + 45*T1^3*T2^10 - 91*T1^4*T2^10 - 87*T1^5*T2^10 + 
      52*T1^6*T2^10 - 291*T1^7*T2^10 - 726*T1^8*T2^10 + 1288*T1^9*T2^10 - 
      726*T1^10*T2^10 - 291*T1^11*T2^10 + 52*T1^12*T2^10 - 87*T1^13*T2^10 - 
      91*T1^14*T2^10 + 45*T1^15*T2^10 + 12*T1^16*T2^10 - 21*T1^3*T2^11 - 
      20*T1^4*T2^11 + 137*T1^5*T2^11 - 87*T1^6*T2^11 + 108*T1^7*T2^11 + 
      490*T1^8*T2^11 - 291*T1^9*T2^11 - 291*T1^10*T2^11 + 490*T1^11*T2^11 + 
      108*T1^12*T2^11 - 87*T1^13*T2^11 + 137*T1^14*T2^11 - 20*T1^15*T2^11 - 
      21*T1^16*T2^11 + 25*T1^4*T2^12 - 20*T1^5*T2^12 - 91*T1^6*T2^12 + 
      170*T1^7*T2^12 - 400*T1^8*T2^12 + 108*T1^9*T2^12 + 52*T1^10*T2^12 + 
      108*T1^11*T2^12 - 400*T1^12*T2^12 + 170*T1^13*T2^12 - 91*T1^14*T2^12 - 
      20*T1^15*T2^12 + 25*T1^16*T2^12 - 21*T1^5*T2^13 + 45*T1^6*T2^13 - 
      10*T1^7*T2^13 - 18*T1^8*T2^13 + 170*T1^9*T2^13 - 87*T1^10*T2^13 - 
      87*T1^11*T2^13 + 170*T1^12*T2^13 - 18*T1^13*T2^13 - 10*T1^14*T2^13 + 
      45*T1^15*T2^13 - 21*T1^16*T2^13 + 12*T1^6*T2^14 - 35*T1^7*T2^14 + 
      31*T1^8*T2^14 - 10*T1^9*T2^14 - 91*T1^10*T2^14 + 137*T1^11*T2^14 - 
      91*T1^12*T2^14 - 10*T1^13*T2^14 + 31*T1^14*T2^14 - 35*T1^15*T2^14 + 
      12*T1^16*T2^14 - 5*T1^7*T2^15 + 20*T1^8*T2^15 - 35*T1^9*T2^15 + 
      45*T1^10*T2^15 - 20*T1^11*T2^15 - 20*T1^12*T2^15 + 45*T1^13*T2^15 - 
      35*T1^14*T2^15 + 20*T1^15*T2^15 - 5*T1^16*T2^15 + T1^8*T2^16 - 
      5*T1^9*T2^16 + 12*T1^10*T2^16 - 21*T1^11*T2^16 + 25*T1^12*T2^16 - 
      21*T1^13*T2^16 + 12*T1^14*T2^16 - 5*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, NonAlternating, 647] -> 
  {(1 - 3*T^2 + 6*T^3 - 7*T^4 + 6*T^5 - 3*T^6 + T^8)/T^4, 
   (4 - 12*T1^2 + 24*T1^3 - 28*T1^4 + 24*T1^5 - 12*T1^6 + 4*T1^8 - T1^2*T2 + 
     2*T1^3*T2 - T1^4*T2 - T1^5*T2 + 2*T1^6*T2 - T1^7*T2 - 12*T2^2 - 
     T1*T2^2 + 27*T1^2*T2^2 - 68*T1^3*T2^2 + 102*T1^4*T2^2 - 119*T1^5*T2^2 + 
     102*T1^6*T2^2 - 68*T1^7*T2^2 + 27*T1^8*T2^2 - T1^9*T2^2 - 
     12*T1^10*T2^2 + 24*T2^3 + 2*T1*T2^3 - 68*T1^2*T2^3 + 136*T1^3*T2^3 - 
     126*T1^4*T2^3 + 53*T1^5*T2^3 + 53*T1^6*T2^3 - 126*T1^7*T2^3 + 
     136*T1^8*T2^3 - 68*T1^9*T2^3 + 2*T1^10*T2^3 + 24*T1^11*T2^3 - 28*T2^4 - 
     T1*T2^4 + 102*T1^2*T2^4 - 126*T1^3*T2^4 + 43*T1^4*T2^4 + 34*T1^5*T2^4 - 
     59*T1^6*T2^4 + 34*T1^7*T2^4 + 43*T1^8*T2^4 - 126*T1^9*T2^4 + 
     102*T1^10*T2^4 - T1^11*T2^4 - 28*T1^12*T2^4 + 24*T2^5 - T1*T2^5 - 
     119*T1^2*T2^5 + 53*T1^3*T2^5 + 34*T1^4*T2^5 - 42*T1^5*T2^5 + 
     3*T1^6*T2^5 + 3*T1^7*T2^5 - 42*T1^8*T2^5 + 34*T1^9*T2^5 + 
     53*T1^10*T2^5 - 119*T1^11*T2^5 - T1^12*T2^5 + 24*T1^13*T2^5 - 12*T2^6 + 
     2*T1*T2^6 + 102*T1^2*T2^6 + 53*T1^3*T2^6 - 59*T1^4*T2^6 + 3*T1^5*T2^6 + 
     45*T1^6*T2^6 - 11*T1^7*T2^6 + 45*T1^8*T2^6 + 3*T1^9*T2^6 - 
     59*T1^10*T2^6 + 53*T1^11*T2^6 + 102*T1^12*T2^6 + 2*T1^13*T2^6 - 
     12*T1^14*T2^6 - T1*T2^7 - 68*T1^2*T2^7 - 126*T1^3*T2^7 + 34*T1^4*T2^7 + 
     3*T1^5*T2^7 - 11*T1^6*T2^7 - 34*T1^7*T2^7 - 34*T1^8*T2^7 - 
     11*T1^9*T2^7 + 3*T1^10*T2^7 + 34*T1^11*T2^7 - 126*T1^12*T2^7 - 
     68*T1^13*T2^7 - T1^14*T2^7 + 4*T2^8 + 27*T1^2*T2^8 + 136*T1^3*T2^8 + 
     43*T1^4*T2^8 - 42*T1^5*T2^8 + 45*T1^6*T2^8 - 34*T1^7*T2^8 + 
     108*T1^8*T2^8 - 34*T1^9*T2^8 + 45*T1^10*T2^8 - 42*T1^11*T2^8 + 
     43*T1^12*T2^8 + 136*T1^13*T2^8 + 27*T1^14*T2^8 + 4*T1^16*T2^8 - 
     T1^2*T2^9 - 68*T1^3*T2^9 - 126*T1^4*T2^9 + 34*T1^5*T2^9 + 3*T1^6*T2^9 - 
     11*T1^7*T2^9 - 34*T1^8*T2^9 - 34*T1^9*T2^9 - 11*T1^10*T2^9 + 
     3*T1^11*T2^9 + 34*T1^12*T2^9 - 126*T1^13*T2^9 - 68*T1^14*T2^9 - 
     T1^15*T2^9 - 12*T1^2*T2^10 + 2*T1^3*T2^10 + 102*T1^4*T2^10 + 
     53*T1^5*T2^10 - 59*T1^6*T2^10 + 3*T1^7*T2^10 + 45*T1^8*T2^10 - 
     11*T1^9*T2^10 + 45*T1^10*T2^10 + 3*T1^11*T2^10 - 59*T1^12*T2^10 + 
     53*T1^13*T2^10 + 102*T1^14*T2^10 + 2*T1^15*T2^10 - 12*T1^16*T2^10 + 
     24*T1^3*T2^11 - T1^4*T2^11 - 119*T1^5*T2^11 + 53*T1^6*T2^11 + 
     34*T1^7*T2^11 - 42*T1^8*T2^11 + 3*T1^9*T2^11 + 3*T1^10*T2^11 - 
     42*T1^11*T2^11 + 34*T1^12*T2^11 + 53*T1^13*T2^11 - 119*T1^14*T2^11 - 
     T1^15*T2^11 + 24*T1^16*T2^11 - 28*T1^4*T2^12 - T1^5*T2^12 + 
     102*T1^6*T2^12 - 126*T1^7*T2^12 + 43*T1^8*T2^12 + 34*T1^9*T2^12 - 
     59*T1^10*T2^12 + 34*T1^11*T2^12 + 43*T1^12*T2^12 - 126*T1^13*T2^12 + 
     102*T1^14*T2^12 - T1^15*T2^12 - 28*T1^16*T2^12 + 24*T1^5*T2^13 + 
     2*T1^6*T2^13 - 68*T1^7*T2^13 + 136*T1^8*T2^13 - 126*T1^9*T2^13 + 
     53*T1^10*T2^13 + 53*T1^11*T2^13 - 126*T1^12*T2^13 + 136*T1^13*T2^13 - 
     68*T1^14*T2^13 + 2*T1^15*T2^13 + 24*T1^16*T2^13 - 12*T1^6*T2^14 - 
     T1^7*T2^14 + 27*T1^8*T2^14 - 68*T1^9*T2^14 + 102*T1^10*T2^14 - 
     119*T1^11*T2^14 + 102*T1^12*T2^14 - 68*T1^13*T2^14 + 27*T1^14*T2^14 - 
     T1^15*T2^14 - 12*T1^16*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 + 4*T1^8*T2^16 - 
     12*T1^10*T2^16 + 24*T1^11*T2^16 - 28*T1^12*T2^16 + 24*T1^13*T2^16 - 
     12*T1^14*T2^16 + 4*T1^16*T2^16)/(T1^8*T2^8)}, 
 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), 
   -((3 - 12*T1 + 9*T1^2 + 3*T1^3 - 9*T1^4 + 3*T1^5 + 9*T1^6 - 12*T1^7 + 
      3*T1^8 - 12*T2 + 36*T1*T2 + 12*T1^2*T2 - 48*T1^3*T2 + 24*T1^4*T2 + 
      24*T1^5*T2 - 48*T1^6*T2 + 12*T1^7*T2 + 36*T1^8*T2 - 12*T1^9*T2 + 
      9*T2^2 + 12*T1*T2^2 - 151*T1^2*T2^2 + 108*T1^3*T2^2 + 53*T1^4*T2^2 - 
      127*T1^5*T2^2 + 53*T1^6*T2^2 + 108*T1^7*T2^2 - 151*T1^8*T2^2 + 
      12*T1^9*T2^2 + 9*T1^10*T2^2 + 3*T2^3 - 48*T1*T2^3 + 108*T1^2*T2^3 + 
      58*T1^3*T2^3 - 168*T1^4*T2^3 + 80*T1^5*T2^3 + 80*T1^6*T2^3 - 
      168*T1^7*T2^3 + 58*T1^8*T2^3 + 108*T1^9*T2^3 - 48*T1^10*T2^3 + 
      3*T1^11*T2^3 - 9*T2^4 + 24*T1*T2^4 + 53*T1^2*T2^4 - 168*T1^3*T2^4 + 
      113*T1^4*T2^4 + 60*T1^5*T2^4 - 141*T1^6*T2^4 + 60*T1^7*T2^4 + 
      113*T1^8*T2^4 - 168*T1^9*T2^4 + 53*T1^10*T2^4 + 24*T1^11*T2^4 - 
      9*T1^12*T2^4 + 3*T2^5 + 24*T1*T2^5 - 127*T1^2*T2^5 + 80*T1^3*T2^5 + 
      60*T1^4*T2^5 - 162*T1^5*T2^5 + 84*T1^6*T2^5 + 84*T1^7*T2^5 - 
      162*T1^8*T2^5 + 60*T1^9*T2^5 + 80*T1^10*T2^5 - 127*T1^11*T2^5 + 
      24*T1^12*T2^5 + 3*T1^13*T2^5 + 9*T2^6 - 48*T1*T2^6 + 53*T1^2*T2^6 + 
      80*T1^3*T2^6 - 141*T1^4*T2^6 + 84*T1^5*T2^6 + 76*T1^6*T2^6 - 
      160*T1^7*T2^6 + 76*T1^8*T2^6 + 84*T1^9*T2^6 - 141*T1^10*T2^6 + 
      80*T1^11*T2^6 + 53*T1^12*T2^6 - 48*T1^13*T2^6 + 9*T1^14*T2^6 - 
      12*T2^7 + 12*T1*T2^7 + 108*T1^2*T2^7 - 168*T1^3*T2^7 + 60*T1^4*T2^7 + 
      84*T1^5*T2^7 - 160*T1^6*T2^7 + 80*T1^7*T2^7 + 80*T1^8*T2^7 - 
      160*T1^9*T2^7 + 84*T1^10*T2^7 + 60*T1^11*T2^7 - 168*T1^12*T2^7 + 
      108*T1^13*T2^7 + 12*T1^14*T2^7 - 12*T1^15*T2^7 + 3*T2^8 + 36*T1*T2^8 - 
      151*T1^2*T2^8 + 58*T1^3*T2^8 + 113*T1^4*T2^8 - 162*T1^5*T2^8 + 
      76*T1^6*T2^8 + 80*T1^7*T2^8 - 156*T1^8*T2^8 + 80*T1^9*T2^8 + 
      76*T1^10*T2^8 - 162*T1^11*T2^8 + 113*T1^12*T2^8 + 58*T1^13*T2^8 - 
      151*T1^14*T2^8 + 36*T1^15*T2^8 + 3*T1^16*T2^8 - 12*T1*T2^9 + 
      12*T1^2*T2^9 + 108*T1^3*T2^9 - 168*T1^4*T2^9 + 60*T1^5*T2^9 + 
      84*T1^6*T2^9 - 160*T1^7*T2^9 + 80*T1^8*T2^9 + 80*T1^9*T2^9 - 
      160*T1^10*T2^9 + 84*T1^11*T2^9 + 60*T1^12*T2^9 - 168*T1^13*T2^9 + 
      108*T1^14*T2^9 + 12*T1^15*T2^9 - 12*T1^16*T2^9 + 9*T1^2*T2^10 - 
      48*T1^3*T2^10 + 53*T1^4*T2^10 + 80*T1^5*T2^10 - 141*T1^6*T2^10 + 
      84*T1^7*T2^10 + 76*T1^8*T2^10 - 160*T1^9*T2^10 + 76*T1^10*T2^10 + 
      84*T1^11*T2^10 - 141*T1^12*T2^10 + 80*T1^13*T2^10 + 53*T1^14*T2^10 - 
      48*T1^15*T2^10 + 9*T1^16*T2^10 + 3*T1^3*T2^11 + 24*T1^4*T2^11 - 
      127*T1^5*T2^11 + 80*T1^6*T2^11 + 60*T1^7*T2^11 - 162*T1^8*T2^11 + 
      84*T1^9*T2^11 + 84*T1^10*T2^11 - 162*T1^11*T2^11 + 60*T1^12*T2^11 + 
      80*T1^13*T2^11 - 127*T1^14*T2^11 + 24*T1^15*T2^11 + 3*T1^16*T2^11 - 
      9*T1^4*T2^12 + 24*T1^5*T2^12 + 53*T1^6*T2^12 - 168*T1^7*T2^12 + 
      113*T1^8*T2^12 + 60*T1^9*T2^12 - 141*T1^10*T2^12 + 60*T1^11*T2^12 + 
      113*T1^12*T2^12 - 168*T1^13*T2^12 + 53*T1^14*T2^12 + 24*T1^15*T2^12 - 
      9*T1^16*T2^12 + 3*T1^5*T2^13 - 48*T1^6*T2^13 + 108*T1^7*T2^13 + 
      58*T1^8*T2^13 - 168*T1^9*T2^13 + 80*T1^10*T2^13 + 80*T1^11*T2^13 - 
      168*T1^12*T2^13 + 58*T1^13*T2^13 + 108*T1^14*T2^13 - 48*T1^15*T2^13 + 
      3*T1^16*T2^13 + 9*T1^6*T2^14 + 12*T1^7*T2^14 - 151*T1^8*T2^14 + 
      108*T1^9*T2^14 + 53*T1^10*T2^14 - 127*T1^11*T2^14 + 53*T1^12*T2^14 + 
      108*T1^13*T2^14 - 151*T1^14*T2^14 + 12*T1^15*T2^14 + 9*T1^16*T2^14 - 
      12*T1^7*T2^15 + 36*T1^8*T2^15 + 12*T1^9*T2^15 - 48*T1^10*T2^15 + 
      24*T1^11*T2^15 + 24*T1^12*T2^15 - 48*T1^13*T2^15 + 12*T1^14*T2^15 + 
      36*T1^15*T2^15 - 12*T1^16*T2^15 + 3*T1^8*T2^16 - 12*T1^9*T2^16 + 
      9*T1^10*T2^16 + 3*T1^11*T2^16 - 9*T1^12*T2^16 + 3*T1^13*T2^16 + 
      9*T1^14*T2^16 - 12*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   (2 - 10*T1 + 22*T1^2 - 28*T1^3 + 30*T1^4 - 28*T1^5 + 22*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 60*T1^2*T2 + 30*T1^3*T2 - 10*T1^4*T2 - 
     10*T1^5*T2 + 30*T1^6*T2 - 60*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     22*T2^2 - 60*T1*T2^2 + 13*T1^2*T2^2 + 138*T1^3*T2^2 - 142*T1^4*T2^2 + 
     151*T1^5*T2^2 - 142*T1^6*T2^2 + 138*T1^7*T2^2 + 13*T1^8*T2^2 - 
     60*T1^9*T2^2 + 22*T1^10*T2^2 - 28*T2^3 + 30*T1*T2^3 + 138*T1^2*T2^3 - 
     318*T1^3*T2^3 + 87*T1^4*T2^3 - 38*T1^5*T2^3 - 38*T1^6*T2^3 + 
     87*T1^7*T2^3 - 318*T1^8*T2^3 + 138*T1^9*T2^3 + 30*T1^10*T2^3 - 
     28*T1^11*T2^3 + 30*T2^4 - 10*T1*T2^4 - 142*T1^2*T2^4 + 87*T1^3*T2^4 + 
     446*T1^4*T2^4 - 381*T1^5*T2^4 + 426*T1^6*T2^4 - 381*T1^7*T2^4 + 
     446*T1^8*T2^4 + 87*T1^9*T2^4 - 142*T1^10*T2^4 - 10*T1^11*T2^4 + 
     30*T1^12*T2^4 - 28*T2^5 - 10*T1*T2^5 + 151*T1^2*T2^5 - 38*T1^3*T2^5 - 
     381*T1^4*T2^5 - 40*T1^6*T2^5 - 40*T1^7*T2^5 - 381*T1^9*T2^5 - 
     38*T1^10*T2^5 + 151*T1^11*T2^5 - 10*T1^12*T2^5 - 28*T1^13*T2^5 + 
     22*T2^6 + 30*T1*T2^6 - 142*T1^2*T2^6 - 38*T1^3*T2^6 + 426*T1^4*T2^6 - 
     40*T1^5*T2^6 + 259*T1^6*T2^6 - 213*T1^7*T2^6 + 259*T1^8*T2^6 - 
     40*T1^9*T2^6 + 426*T1^10*T2^6 - 38*T1^11*T2^6 - 142*T1^12*T2^6 + 
     30*T1^13*T2^6 + 22*T1^14*T2^6 - 10*T2^7 - 60*T1*T2^7 + 138*T1^2*T2^7 + 
     87*T1^3*T2^7 - 381*T1^4*T2^7 - 40*T1^5*T2^7 - 213*T1^6*T2^7 + 
     40*T1^7*T2^7 + 40*T1^8*T2^7 - 213*T1^9*T2^7 - 40*T1^10*T2^7 - 
     381*T1^11*T2^7 + 87*T1^12*T2^7 + 138*T1^13*T2^7 - 60*T1^14*T2^7 - 
     10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 + 13*T1^2*T2^8 - 318*T1^3*T2^8 + 
     446*T1^4*T2^8 + 259*T1^6*T2^8 + 40*T1^7*T2^8 - 72*T1^8*T2^8 + 
     40*T1^9*T2^8 + 259*T1^10*T2^8 + 446*T1^12*T2^8 - 318*T1^13*T2^8 + 
     13*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     60*T1^2*T2^9 + 138*T1^3*T2^9 + 87*T1^4*T2^9 - 381*T1^5*T2^9 - 
     40*T1^6*T2^9 - 213*T1^7*T2^9 + 40*T1^8*T2^9 + 40*T1^9*T2^9 - 
     213*T1^10*T2^9 - 40*T1^11*T2^9 - 381*T1^12*T2^9 + 87*T1^13*T2^9 + 
     138*T1^14*T2^9 - 60*T1^15*T2^9 - 10*T1^16*T2^9 + 22*T1^2*T2^10 + 
     30*T1^3*T2^10 - 142*T1^4*T2^10 - 38*T1^5*T2^10 + 426*T1^6*T2^10 - 
     40*T1^7*T2^10 + 259*T1^8*T2^10 - 213*T1^9*T2^10 + 259*T1^10*T2^10 - 
     40*T1^11*T2^10 + 426*T1^12*T2^10 - 38*T1^13*T2^10 - 142*T1^14*T2^10 + 
     30*T1^15*T2^10 + 22*T1^16*T2^10 - 28*T1^3*T2^11 - 10*T1^4*T2^11 + 
     151*T1^5*T2^11 - 38*T1^6*T2^11 - 381*T1^7*T2^11 - 40*T1^9*T2^11 - 
     40*T1^10*T2^11 - 381*T1^12*T2^11 - 38*T1^13*T2^11 + 151*T1^14*T2^11 - 
     10*T1^15*T2^11 - 28*T1^16*T2^11 + 30*T1^4*T2^12 - 10*T1^5*T2^12 - 
     142*T1^6*T2^12 + 87*T1^7*T2^12 + 446*T1^8*T2^12 - 381*T1^9*T2^12 + 
     426*T1^10*T2^12 - 381*T1^11*T2^12 + 446*T1^12*T2^12 + 87*T1^13*T2^12 - 
     142*T1^14*T2^12 - 10*T1^15*T2^12 + 30*T1^16*T2^12 - 28*T1^5*T2^13 + 
     30*T1^6*T2^13 + 138*T1^7*T2^13 - 318*T1^8*T2^13 + 87*T1^9*T2^13 - 
     38*T1^10*T2^13 - 38*T1^11*T2^13 + 87*T1^12*T2^13 - 318*T1^13*T2^13 + 
     138*T1^14*T2^13 + 30*T1^15*T2^13 - 28*T1^16*T2^13 + 22*T1^6*T2^14 - 
     60*T1^7*T2^14 + 13*T1^8*T2^14 + 138*T1^9*T2^14 - 142*T1^10*T2^14 + 
     151*T1^11*T2^14 - 142*T1^12*T2^14 + 138*T1^13*T2^14 + 13*T1^14*T2^14 - 
     60*T1^15*T2^14 + 22*T1^16*T2^14 - 10*T1^7*T2^15 + 40*T1^8*T2^15 - 
     60*T1^9*T2^15 + 30*T1^10*T2^15 - 10*T1^11*T2^15 - 10*T1^12*T2^15 + 
     30*T1^13*T2^15 - 60*T1^14*T2^15 + 40*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)/(T1^8*T2^8)}, Knot[12, NonAlternating, 650] -> 
  {(1 - 4*T + 7*T^2 - 4*T^3 + T^4)/T^2, 
   (2*T1^2 - 2*T1*T2 - 5*T1^2*T2 - 5*T1^3*T2 - 2*T1^4*T2 + 2*T2^2 - 
     5*T1*T2^2 + 35*T1^2*T2^2 - 19*T1^3*T2^2 + 35*T1^4*T2^2 - 5*T1^5*T2^2 + 
     2*T1^6*T2^2 - 5*T1*T2^3 - 19*T1^2*T2^3 - 20*T1^3*T2^3 - 20*T1^4*T2^3 - 
     19*T1^5*T2^3 - 5*T1^6*T2^3 - 2*T1*T2^4 + 35*T1^2*T2^4 - 20*T1^3*T2^4 + 
     84*T1^4*T2^4 - 20*T1^5*T2^4 + 35*T1^6*T2^4 - 2*T1^7*T2^4 - 5*T1^2*T2^5 - 
     19*T1^3*T2^5 - 20*T1^4*T2^5 - 20*T1^5*T2^5 - 19*T1^6*T2^5 - 
     5*T1^7*T2^5 + 2*T1^2*T2^6 - 5*T1^3*T2^6 + 35*T1^4*T2^6 - 19*T1^5*T2^6 + 
     35*T1^6*T2^6 - 5*T1^7*T2^6 + 2*T1^8*T2^6 - 2*T1^4*T2^7 - 5*T1^5*T2^7 - 
     5*T1^6*T2^7 - 2*T1^7*T2^7 + 2*T1^6*T2^8)/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 651] -> 
  {((2 - 3*T + 2*T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^3, 
   (9 - 49*T1 + 124*T1^2 - 163*T1^3 + 124*T1^4 - 49*T1^5 + 9*T1^6 - 49*T2 + 
     218*T1*T2 - 413*T1^2*T2 + 215*T1^3*T2 + 215*T1^4*T2 - 413*T1^5*T2 + 
     218*T1^6*T2 - 49*T1^7*T2 + 124*T2^2 - 413*T1*T2^2 + 418*T1^2*T2^2 + 
     734*T1^3*T2^2 - 1408*T1^4*T2^2 + 734*T1^5*T2^2 + 418*T1^6*T2^2 - 
     413*T1^7*T2^2 + 124*T1^8*T2^2 - 163*T2^3 + 215*T1*T2^3 + 734*T1^2*T2^3 - 
     2960*T1^3*T2^3 + 1650*T1^4*T2^3 + 1650*T1^5*T2^3 - 2960*T1^6*T2^3 + 
     734*T1^7*T2^3 + 215*T1^8*T2^3 - 163*T1^9*T2^3 + 124*T2^4 + 215*T1*T2^4 - 
     1408*T1^2*T2^4 + 1650*T1^3*T2^4 + 4849*T1^4*T2^4 - 8541*T1^5*T2^4 + 
     4849*T1^6*T2^4 + 1650*T1^7*T2^4 - 1408*T1^8*T2^4 + 215*T1^9*T2^4 + 
     124*T1^10*T2^4 - 49*T2^5 - 413*T1*T2^5 + 734*T1^2*T2^5 + 
     1650*T1^3*T2^5 - 8541*T1^4*T2^5 + 4792*T1^5*T2^5 + 4792*T1^6*T2^5 - 
     8541*T1^7*T2^5 + 1650*T1^8*T2^5 + 734*T1^9*T2^5 - 413*T1^10*T2^5 - 
     49*T1^11*T2^5 + 9*T2^6 + 218*T1*T2^6 + 418*T1^2*T2^6 - 2960*T1^3*T2^6 + 
     4849*T1^4*T2^6 + 4792*T1^5*T2^6 - 10416*T1^6*T2^6 + 4792*T1^7*T2^6 + 
     4849*T1^8*T2^6 - 2960*T1^9*T2^6 + 418*T1^10*T2^6 + 218*T1^11*T2^6 + 
     9*T1^12*T2^6 - 49*T1*T2^7 - 413*T1^2*T2^7 + 734*T1^3*T2^7 + 
     1650*T1^4*T2^7 - 8541*T1^5*T2^7 + 4792*T1^6*T2^7 + 4792*T1^7*T2^7 - 
     8541*T1^8*T2^7 + 1650*T1^9*T2^7 + 734*T1^10*T2^7 - 413*T1^11*T2^7 - 
     49*T1^12*T2^7 + 124*T1^2*T2^8 + 215*T1^3*T2^8 - 1408*T1^4*T2^8 + 
     1650*T1^5*T2^8 + 4849*T1^6*T2^8 - 8541*T1^7*T2^8 + 4849*T1^8*T2^8 + 
     1650*T1^9*T2^8 - 1408*T1^10*T2^8 + 215*T1^11*T2^8 + 124*T1^12*T2^8 - 
     163*T1^3*T2^9 + 215*T1^4*T2^9 + 734*T1^5*T2^9 - 2960*T1^6*T2^9 + 
     1650*T1^7*T2^9 + 1650*T1^8*T2^9 - 2960*T1^9*T2^9 + 734*T1^10*T2^9 + 
     215*T1^11*T2^9 - 163*T1^12*T2^9 + 124*T1^4*T2^10 - 413*T1^5*T2^10 + 
     418*T1^6*T2^10 + 734*T1^7*T2^10 - 1408*T1^8*T2^10 + 734*T1^9*T2^10 + 
     418*T1^10*T2^10 - 413*T1^11*T2^10 + 124*T1^12*T2^10 - 49*T1^5*T2^11 + 
     218*T1^6*T2^11 - 413*T1^7*T2^11 + 215*T1^8*T2^11 + 215*T1^9*T2^11 - 
     413*T1^10*T2^11 + 218*T1^11*T2^11 - 49*T1^12*T2^11 + 9*T1^6*T2^12 - 
     49*T1^7*T2^12 + 124*T1^8*T2^12 - 163*T1^9*T2^12 + 124*T1^10*T2^12 - 
     49*T1^11*T2^12 + 9*T1^12*T2^12)/(T1^6*T2^6)}, 
 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), -((1 - 5*T1 + 15*T1^2 - 30*T1^3 + 37*T1^4 - 30*T1^5 + 15*T1^6 - 
      5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 50*T1^2*T2 + 75*T1^3*T2 - 
      35*T1^4*T2 - 35*T1^5*T2 + 75*T1^6*T2 - 50*T1^7*T2 + 20*T1^8*T2 - 
      5*T1^9*T2 + 15*T2^2 - 50*T1*T2^2 + 112*T1^2*T2^2 - 133*T1^3*T2^2 - 
      14*T1^4*T2^2 + 86*T1^5*T2^2 - 14*T1^6*T2^2 - 133*T1^7*T2^2 + 
      112*T1^8*T2^2 - 50*T1^9*T2^2 + 15*T1^10*T2^2 - 30*T2^3 + 75*T1*T2^3 - 
      133*T1^2*T2^3 + 52*T1^3*T2^3 + 282*T1^4*T2^3 - 148*T1^5*T2^3 - 
      148*T1^6*T2^3 + 282*T1^7*T2^3 + 52*T1^8*T2^3 - 133*T1^9*T2^3 + 
      75*T1^10*T2^3 - 30*T1^11*T2^3 + 37*T2^4 - 35*T1*T2^4 - 14*T1^2*T2^4 + 
      282*T1^3*T2^4 - 565*T1^4*T2^4 - 316*T1^5*T2^4 + 703*T1^6*T2^4 - 
      316*T1^7*T2^4 - 565*T1^8*T2^4 + 282*T1^9*T2^4 - 14*T1^10*T2^4 - 
      35*T1^11*T2^4 + 37*T1^12*T2^4 - 30*T2^5 - 35*T1*T2^5 + 86*T1^2*T2^5 - 
      148*T1^3*T2^5 - 316*T1^4*T2^5 + 1882*T1^5*T2^5 - 906*T1^6*T2^5 - 
      906*T1^7*T2^5 + 1882*T1^8*T2^5 - 316*T1^9*T2^5 - 148*T1^10*T2^5 + 
      86*T1^11*T2^5 - 35*T1^12*T2^5 - 30*T1^13*T2^5 + 15*T2^6 + 75*T1*T2^6 - 
      14*T1^2*T2^6 - 148*T1^3*T2^6 + 703*T1^4*T2^6 - 906*T1^5*T2^6 - 
      2809*T1^6*T2^6 + 4415*T1^7*T2^6 - 2809*T1^8*T2^6 - 906*T1^9*T2^6 + 
      703*T1^10*T2^6 - 148*T1^11*T2^6 - 14*T1^12*T2^6 + 75*T1^13*T2^6 + 
      15*T1^14*T2^6 - 5*T2^7 - 50*T1*T2^7 - 133*T1^2*T2^7 + 282*T1^3*T2^7 - 
      316*T1^4*T2^7 - 906*T1^5*T2^7 + 4415*T1^6*T2^7 - 2116*T1^7*T2^7 - 
      2116*T1^8*T2^7 + 4415*T1^9*T2^7 - 906*T1^10*T2^7 - 316*T1^11*T2^7 + 
      282*T1^12*T2^7 - 133*T1^13*T2^7 - 50*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 
      20*T1*T2^8 + 112*T1^2*T2^8 + 52*T1^3*T2^8 - 565*T1^4*T2^8 + 
      1882*T1^5*T2^8 - 2809*T1^6*T2^8 - 2116*T1^7*T2^8 + 4272*T1^8*T2^8 - 
      2116*T1^9*T2^8 - 2809*T1^10*T2^8 + 1882*T1^11*T2^8 - 565*T1^12*T2^8 + 
      52*T1^13*T2^8 + 112*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 
      5*T1*T2^9 - 50*T1^2*T2^9 - 133*T1^3*T2^9 + 282*T1^4*T2^9 - 
      316*T1^5*T2^9 - 906*T1^6*T2^9 + 4415*T1^7*T2^9 - 2116*T1^8*T2^9 - 
      2116*T1^9*T2^9 + 4415*T1^10*T2^9 - 906*T1^11*T2^9 - 316*T1^12*T2^9 + 
      282*T1^13*T2^9 - 133*T1^14*T2^9 - 50*T1^15*T2^9 - 5*T1^16*T2^9 + 
      15*T1^2*T2^10 + 75*T1^3*T2^10 - 14*T1^4*T2^10 - 148*T1^5*T2^10 + 
      703*T1^6*T2^10 - 906*T1^7*T2^10 - 2809*T1^8*T2^10 + 4415*T1^9*T2^10 - 
      2809*T1^10*T2^10 - 906*T1^11*T2^10 + 703*T1^12*T2^10 - 
      148*T1^13*T2^10 - 14*T1^14*T2^10 + 75*T1^15*T2^10 + 15*T1^16*T2^10 - 
      30*T1^3*T2^11 - 35*T1^4*T2^11 + 86*T1^5*T2^11 - 148*T1^6*T2^11 - 
      316*T1^7*T2^11 + 1882*T1^8*T2^11 - 906*T1^9*T2^11 - 906*T1^10*T2^11 + 
      1882*T1^11*T2^11 - 316*T1^12*T2^11 - 148*T1^13*T2^11 + 86*T1^14*T2^11 - 
      35*T1^15*T2^11 - 30*T1^16*T2^11 + 37*T1^4*T2^12 - 35*T1^5*T2^12 - 
      14*T1^6*T2^12 + 282*T1^7*T2^12 - 565*T1^8*T2^12 - 316*T1^9*T2^12 + 
      703*T1^10*T2^12 - 316*T1^11*T2^12 - 565*T1^12*T2^12 + 282*T1^13*T2^12 - 
      14*T1^14*T2^12 - 35*T1^15*T2^12 + 37*T1^16*T2^12 - 30*T1^5*T2^13 + 
      75*T1^6*T2^13 - 133*T1^7*T2^13 + 52*T1^8*T2^13 + 282*T1^9*T2^13 - 
      148*T1^10*T2^13 - 148*T1^11*T2^13 + 282*T1^12*T2^13 + 52*T1^13*T2^13 - 
      133*T1^14*T2^13 + 75*T1^15*T2^13 - 30*T1^16*T2^13 + 15*T1^6*T2^14 - 
      50*T1^7*T2^14 + 112*T1^8*T2^14 - 133*T1^9*T2^14 - 14*T1^10*T2^14 + 
      86*T1^11*T2^14 - 14*T1^12*T2^14 - 133*T1^13*T2^14 + 112*T1^14*T2^14 - 
      50*T1^15*T2^14 + 15*T1^16*T2^14 - 5*T1^7*T2^15 + 20*T1^8*T2^15 - 
      50*T1^9*T2^15 + 75*T1^10*T2^15 - 35*T1^11*T2^15 - 35*T1^12*T2^15 + 
      75*T1^13*T2^15 - 50*T1^14*T2^15 + 20*T1^15*T2^15 - 5*T1^16*T2^15 + 
      T1^8*T2^16 - 5*T1^9*T2^16 + 15*T1^10*T2^16 - 30*T1^11*T2^16 + 
      37*T1^12*T2^16 - 30*T1^13*T2^16 + 15*T1^14*T2^16 - 5*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, 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), 
   -((3 - 12*T1 + 15*T1^2 - 18*T1^3 + 21*T1^4 - 18*T1^5 + 15*T1^6 - 12*T1^7 + 
      3*T1^8 - 12*T2 + 36*T1*T2 - 12*T1^2*T2 + 12*T1^3*T2 - 12*T1^4*T2 - 
      12*T1^5*T2 + 12*T1^6*T2 - 12*T1^7*T2 + 36*T1^8*T2 - 12*T1^9*T2 + 
      15*T2^2 - 12*T1*T2^2 - 99*T1^2*T2^2 + 86*T1^3*T2^2 - 100*T1^4*T2^2 + 
      145*T1^5*T2^2 - 100*T1^6*T2^2 + 86*T1^7*T2^2 - 99*T1^8*T2^2 - 
      12*T1^9*T2^2 + 15*T1^10*T2^2 - 18*T2^3 + 12*T1*T2^3 + 86*T1^2*T2^3 + 
      26*T1^3*T2^3 - 3*T1^4*T2^3 - 34*T1^5*T2^3 - 34*T1^6*T2^3 - 
      3*T1^7*T2^3 + 26*T1^8*T2^3 + 86*T1^9*T2^3 + 12*T1^10*T2^3 - 
      18*T1^11*T2^3 + 21*T2^4 - 12*T1*T2^4 - 100*T1^2*T2^4 - 3*T1^3*T2^4 - 
      104*T1^4*T2^4 + 133*T1^5*T2^4 - 74*T1^6*T2^4 + 133*T1^7*T2^4 - 
      104*T1^8*T2^4 - 3*T1^9*T2^4 - 100*T1^10*T2^4 - 12*T1^11*T2^4 + 
      21*T1^12*T2^4 - 18*T2^5 - 12*T1*T2^5 + 145*T1^2*T2^5 - 34*T1^3*T2^5 + 
      133*T1^4*T2^5 - 66*T1^5*T2^5 - 16*T1^6*T2^5 - 16*T1^7*T2^5 - 
      66*T1^8*T2^5 + 133*T1^9*T2^5 - 34*T1^10*T2^5 + 145*T1^11*T2^5 - 
      12*T1^12*T2^5 - 18*T1^13*T2^5 + 15*T2^6 + 12*T1*T2^6 - 100*T1^2*T2^6 - 
      34*T1^3*T2^6 - 74*T1^4*T2^6 - 16*T1^5*T2^6 + 33*T1^6*T2^6 + 
      33*T1^7*T2^6 + 33*T1^8*T2^6 - 16*T1^9*T2^6 - 74*T1^10*T2^6 - 
      34*T1^11*T2^6 - 100*T1^12*T2^6 + 12*T1^13*T2^6 + 15*T1^14*T2^6 - 
      12*T2^7 - 12*T1*T2^7 + 86*T1^2*T2^7 - 3*T1^3*T2^7 + 133*T1^4*T2^7 - 
      16*T1^5*T2^7 + 33*T1^6*T2^7 - 58*T1^7*T2^7 - 58*T1^8*T2^7 + 
      33*T1^9*T2^7 - 16*T1^10*T2^7 + 133*T1^11*T2^7 - 3*T1^12*T2^7 + 
      86*T1^13*T2^7 - 12*T1^14*T2^7 - 12*T1^15*T2^7 + 3*T2^8 + 36*T1*T2^8 - 
      99*T1^2*T2^8 + 26*T1^3*T2^8 - 104*T1^4*T2^8 - 66*T1^5*T2^8 + 
      33*T1^6*T2^8 - 58*T1^7*T2^8 + 156*T1^8*T2^8 - 58*T1^9*T2^8 + 
      33*T1^10*T2^8 - 66*T1^11*T2^8 - 104*T1^12*T2^8 + 26*T1^13*T2^8 - 
      99*T1^14*T2^8 + 36*T1^15*T2^8 + 3*T1^16*T2^8 - 12*T1*T2^9 - 
      12*T1^2*T2^9 + 86*T1^3*T2^9 - 3*T1^4*T2^9 + 133*T1^5*T2^9 - 
      16*T1^6*T2^9 + 33*T1^7*T2^9 - 58*T1^8*T2^9 - 58*T1^9*T2^9 + 
      33*T1^10*T2^9 - 16*T1^11*T2^9 + 133*T1^12*T2^9 - 3*T1^13*T2^9 + 
      86*T1^14*T2^9 - 12*T1^15*T2^9 - 12*T1^16*T2^9 + 15*T1^2*T2^10 + 
      12*T1^3*T2^10 - 100*T1^4*T2^10 - 34*T1^5*T2^10 - 74*T1^6*T2^10 - 
      16*T1^7*T2^10 + 33*T1^8*T2^10 + 33*T1^9*T2^10 + 33*T1^10*T2^10 - 
      16*T1^11*T2^10 - 74*T1^12*T2^10 - 34*T1^13*T2^10 - 100*T1^14*T2^10 + 
      12*T1^15*T2^10 + 15*T1^16*T2^10 - 18*T1^3*T2^11 - 12*T1^4*T2^11 + 
      145*T1^5*T2^11 - 34*T1^6*T2^11 + 133*T1^7*T2^11 - 66*T1^8*T2^11 - 
      16*T1^9*T2^11 - 16*T1^10*T2^11 - 66*T1^11*T2^11 + 133*T1^12*T2^11 - 
      34*T1^13*T2^11 + 145*T1^14*T2^11 - 12*T1^15*T2^11 - 18*T1^16*T2^11 + 
      21*T1^4*T2^12 - 12*T1^5*T2^12 - 100*T1^6*T2^12 - 3*T1^7*T2^12 - 
      104*T1^8*T2^12 + 133*T1^9*T2^12 - 74*T1^10*T2^12 + 133*T1^11*T2^12 - 
      104*T1^12*T2^12 - 3*T1^13*T2^12 - 100*T1^14*T2^12 - 12*T1^15*T2^12 + 
      21*T1^16*T2^12 - 18*T1^5*T2^13 + 12*T1^6*T2^13 + 86*T1^7*T2^13 + 
      26*T1^8*T2^13 - 3*T1^9*T2^13 - 34*T1^10*T2^13 - 34*T1^11*T2^13 - 
      3*T1^12*T2^13 + 26*T1^13*T2^13 + 86*T1^14*T2^13 + 12*T1^15*T2^13 - 
      18*T1^16*T2^13 + 15*T1^6*T2^14 - 12*T1^7*T2^14 - 99*T1^8*T2^14 + 
      86*T1^9*T2^14 - 100*T1^10*T2^14 + 145*T1^11*T2^14 - 100*T1^12*T2^14 + 
      86*T1^13*T2^14 - 99*T1^14*T2^14 - 12*T1^15*T2^14 + 15*T1^16*T2^14 - 
      12*T1^7*T2^15 + 36*T1^8*T2^15 - 12*T1^9*T2^15 + 12*T1^10*T2^15 - 
      12*T1^11*T2^15 - 12*T1^12*T2^15 + 12*T1^13*T2^15 - 12*T1^14*T2^15 + 
      36*T1^15*T2^15 - 12*T1^16*T2^15 + 3*T1^8*T2^16 - 12*T1^9*T2^16 + 
      15*T1^10*T2^16 - 18*T1^11*T2^16 + 21*T1^12*T2^16 - 18*T1^13*T2^16 + 
      15*T1^14*T2^16 - 12*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 654] -> 
  {-(((1 - 3*T + T^2)*(2 - 2*T + T^2 - 2*T^3 + 2*T^4))/T^3), 
   -((17 - 68*T1 + 76*T1^2 - 59*T1^3 + 76*T1^4 - 68*T1^5 + 17*T1^6 - 68*T2 + 
      204*T1*T2 - 32*T1^2*T2 - 68*T1^3*T2 - 68*T1^4*T2 - 32*T1^5*T2 + 
      204*T1^6*T2 - 68*T1^7*T2 + 76*T2^2 - 32*T1*T2^2 - 654*T1^2*T2^2 + 
      618*T1^3*T2^2 - 234*T1^4*T2^2 + 618*T1^5*T2^2 - 654*T1^6*T2^2 - 
      32*T1^7*T2^2 + 76*T1^8*T2^2 - 59*T2^3 - 68*T1*T2^3 + 618*T1^2*T2^3 + 
      8*T1^3*T2^3 - 326*T1^4*T2^3 - 326*T1^5*T2^3 + 8*T1^6*T2^3 + 
      618*T1^7*T2^3 - 68*T1^8*T2^3 - 59*T1^9*T2^3 + 76*T2^4 - 68*T1*T2^4 - 
      234*T1^2*T2^4 - 326*T1^3*T2^4 + 330*T1^4*T2^4 + 64*T1^5*T2^4 + 
      330*T1^6*T2^4 - 326*T1^7*T2^4 - 234*T1^8*T2^4 - 68*T1^9*T2^4 + 
      76*T1^10*T2^4 - 68*T2^5 - 32*T1*T2^5 + 618*T1^2*T2^5 - 326*T1^3*T2^5 + 
      64*T1^4*T2^5 - 60*T1^5*T2^5 - 60*T1^6*T2^5 + 64*T1^7*T2^5 - 
      326*T1^8*T2^5 + 618*T1^9*T2^5 - 32*T1^10*T2^5 - 68*T1^11*T2^5 + 
      17*T2^6 + 204*T1*T2^6 - 654*T1^2*T2^6 + 8*T1^3*T2^6 + 330*T1^4*T2^6 - 
      60*T1^5*T2^6 - 96*T1^6*T2^6 - 60*T1^7*T2^6 + 330*T1^8*T2^6 + 
      8*T1^9*T2^6 - 654*T1^10*T2^6 + 204*T1^11*T2^6 + 17*T1^12*T2^6 - 
      68*T1*T2^7 - 32*T1^2*T2^7 + 618*T1^3*T2^7 - 326*T1^4*T2^7 + 
      64*T1^5*T2^7 - 60*T1^6*T2^7 - 60*T1^7*T2^7 + 64*T1^8*T2^7 - 
      326*T1^9*T2^7 + 618*T1^10*T2^7 - 32*T1^11*T2^7 - 68*T1^12*T2^7 + 
      76*T1^2*T2^8 - 68*T1^3*T2^8 - 234*T1^4*T2^8 - 326*T1^5*T2^8 + 
      330*T1^6*T2^8 + 64*T1^7*T2^8 + 330*T1^8*T2^8 - 326*T1^9*T2^8 - 
      234*T1^10*T2^8 - 68*T1^11*T2^8 + 76*T1^12*T2^8 - 59*T1^3*T2^9 - 
      68*T1^4*T2^9 + 618*T1^5*T2^9 + 8*T1^6*T2^9 - 326*T1^7*T2^9 - 
      326*T1^8*T2^9 + 8*T1^9*T2^9 + 618*T1^10*T2^9 - 68*T1^11*T2^9 - 
      59*T1^12*T2^9 + 76*T1^4*T2^10 - 32*T1^5*T2^10 - 654*T1^6*T2^10 + 
      618*T1^7*T2^10 - 234*T1^8*T2^10 + 618*T1^9*T2^10 - 654*T1^10*T2^10 - 
      32*T1^11*T2^10 + 76*T1^12*T2^10 - 68*T1^5*T2^11 + 204*T1^6*T2^11 - 
      32*T1^7*T2^11 - 68*T1^8*T2^11 - 68*T1^9*T2^11 - 32*T1^10*T2^11 + 
      204*T1^11*T2^11 - 68*T1^12*T2^11 + 17*T1^6*T2^12 - 68*T1^7*T2^12 + 
      76*T1^8*T2^12 - 59*T1^9*T2^12 + 76*T1^10*T2^12 - 68*T1^11*T2^12 + 
      17*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 655] -> 
  {((1 - T + T^2)*(2 - 3*T^2 + 2*T^4))/T^3, 
   (25 - 24*T1 - 14*T1^2 + 39*T1^3 - 14*T1^4 - 24*T1^5 + 25*T1^6 - 24*T2 + 
     33*T1^2*T2 - 21*T1^3*T2 - 21*T1^4*T2 + 33*T1^5*T2 - 24*T1^7*T2 - 
     14*T2^2 + 33*T1*T2^2 - 21*T1^2*T2^2 - 18*T1^3*T2^2 + 35*T1^4*T2^2 - 
     18*T1^5*T2^2 - 21*T1^6*T2^2 + 33*T1^7*T2^2 - 14*T1^8*T2^2 + 39*T2^3 - 
     21*T1*T2^3 - 18*T1^2*T2^3 + 46*T1^3*T2^3 - 20*T1^4*T2^3 - 20*T1^5*T2^3 + 
     46*T1^6*T2^3 - 18*T1^7*T2^3 - 21*T1^8*T2^3 + 39*T1^9*T2^3 - 14*T2^4 - 
     21*T1*T2^4 + 35*T1^2*T2^4 - 20*T1^3*T2^4 - 20*T1^4*T2^4 + 36*T1^5*T2^4 - 
     20*T1^6*T2^4 - 20*T1^7*T2^4 + 35*T1^8*T2^4 - 21*T1^9*T2^4 - 
     14*T1^10*T2^4 - 24*T2^5 + 33*T1*T2^5 - 18*T1^2*T2^5 - 20*T1^3*T2^5 + 
     36*T1^4*T2^5 - 20*T1^5*T2^5 - 20*T1^6*T2^5 + 36*T1^7*T2^5 - 
     20*T1^8*T2^5 - 18*T1^9*T2^5 + 33*T1^10*T2^5 - 24*T1^11*T2^5 + 25*T2^6 - 
     21*T1^2*T2^6 + 46*T1^3*T2^6 - 20*T1^4*T2^6 - 20*T1^5*T2^6 + 
     48*T1^6*T2^6 - 20*T1^7*T2^6 - 20*T1^8*T2^6 + 46*T1^9*T2^6 - 
     21*T1^10*T2^6 + 25*T1^12*T2^6 - 24*T1*T2^7 + 33*T1^2*T2^7 - 
     18*T1^3*T2^7 - 20*T1^4*T2^7 + 36*T1^5*T2^7 - 20*T1^6*T2^7 - 
     20*T1^7*T2^7 + 36*T1^8*T2^7 - 20*T1^9*T2^7 - 18*T1^10*T2^7 + 
     33*T1^11*T2^7 - 24*T1^12*T2^7 - 14*T1^2*T2^8 - 21*T1^3*T2^8 + 
     35*T1^4*T2^8 - 20*T1^5*T2^8 - 20*T1^6*T2^8 + 36*T1^7*T2^8 - 
     20*T1^8*T2^8 - 20*T1^9*T2^8 + 35*T1^10*T2^8 - 21*T1^11*T2^8 - 
     14*T1^12*T2^8 + 39*T1^3*T2^9 - 21*T1^4*T2^9 - 18*T1^5*T2^9 + 
     46*T1^6*T2^9 - 20*T1^7*T2^9 - 20*T1^8*T2^9 + 46*T1^9*T2^9 - 
     18*T1^10*T2^9 - 21*T1^11*T2^9 + 39*T1^12*T2^9 - 14*T1^4*T2^10 + 
     33*T1^5*T2^10 - 21*T1^6*T2^10 - 18*T1^7*T2^10 + 35*T1^8*T2^10 - 
     18*T1^9*T2^10 - 21*T1^10*T2^10 + 33*T1^11*T2^10 - 14*T1^12*T2^10 - 
     24*T1^5*T2^11 + 33*T1^7*T2^11 - 21*T1^8*T2^11 - 21*T1^9*T2^11 + 
     33*T1^10*T2^11 - 24*T1^12*T2^11 + 25*T1^6*T2^12 - 24*T1^7*T2^12 - 
     14*T1^8*T2^12 + 39*T1^9*T2^12 - 14*T1^10*T2^12 - 24*T1^11*T2^12 + 
     25*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 656] -> 
  {((1 - T + T^2)*(2 - 8*T + 13*T^2 - 8*T^3 + 2*T^4))/T^3, 
   -((9 - 44*T1 + 100*T1^2 - 125*T1^3 + 100*T1^4 - 44*T1^5 + 9*T1^6 - 44*T2 + 
      172*T1*T2 - 277*T1^2*T2 + 125*T1^3*T2 + 125*T1^4*T2 - 277*T1^5*T2 + 
      172*T1^6*T2 - 44*T1^7*T2 + 100*T2^2 - 277*T1*T2^2 + 167*T1^2*T2^2 + 
      532*T1^3*T2^2 - 821*T1^4*T2^2 + 532*T1^5*T2^2 + 167*T1^6*T2^2 - 
      277*T1^7*T2^2 + 100*T1^8*T2^2 - 125*T2^3 + 125*T1*T2^3 + 
      532*T1^2*T2^3 - 1540*T1^3*T2^3 + 692*T1^4*T2^3 + 692*T1^5*T2^3 - 
      1540*T1^6*T2^3 + 532*T1^7*T2^3 + 125*T1^8*T2^3 - 125*T1^9*T2^3 + 
      100*T2^4 + 125*T1*T2^4 - 821*T1^2*T2^4 + 692*T1^3*T2^4 + 
      2176*T1^4*T2^4 - 3318*T1^5*T2^4 + 2176*T1^6*T2^4 + 692*T1^7*T2^4 - 
      821*T1^8*T2^4 + 125*T1^9*T2^4 + 100*T1^10*T2^4 - 44*T2^5 - 
      277*T1*T2^5 + 532*T1^2*T2^5 + 692*T1^3*T2^5 - 3318*T1^4*T2^5 + 
      1534*T1^5*T2^5 + 1534*T1^6*T2^5 - 3318*T1^7*T2^5 + 692*T1^8*T2^5 + 
      532*T1^9*T2^5 - 277*T1^10*T2^5 - 44*T1^11*T2^5 + 9*T2^6 + 172*T1*T2^6 + 
      167*T1^2*T2^6 - 1540*T1^3*T2^6 + 2176*T1^4*T2^6 + 1534*T1^5*T2^6 - 
      3060*T1^6*T2^6 + 1534*T1^7*T2^6 + 2176*T1^8*T2^6 - 1540*T1^9*T2^6 + 
      167*T1^10*T2^6 + 172*T1^11*T2^6 + 9*T1^12*T2^6 - 44*T1*T2^7 - 
      277*T1^2*T2^7 + 532*T1^3*T2^7 + 692*T1^4*T2^7 - 3318*T1^5*T2^7 + 
      1534*T1^6*T2^7 + 1534*T1^7*T2^7 - 3318*T1^8*T2^7 + 692*T1^9*T2^7 + 
      532*T1^10*T2^7 - 277*T1^11*T2^7 - 44*T1^12*T2^7 + 100*T1^2*T2^8 + 
      125*T1^3*T2^8 - 821*T1^4*T2^8 + 692*T1^5*T2^8 + 2176*T1^6*T2^8 - 
      3318*T1^7*T2^8 + 2176*T1^8*T2^8 + 692*T1^9*T2^8 - 821*T1^10*T2^8 + 
      125*T1^11*T2^8 + 100*T1^12*T2^8 - 125*T1^3*T2^9 + 125*T1^4*T2^9 + 
      532*T1^5*T2^9 - 1540*T1^6*T2^9 + 692*T1^7*T2^9 + 692*T1^8*T2^9 - 
      1540*T1^9*T2^9 + 532*T1^10*T2^9 + 125*T1^11*T2^9 - 125*T1^12*T2^9 + 
      100*T1^4*T2^10 - 277*T1^5*T2^10 + 167*T1^6*T2^10 + 532*T1^7*T2^10 - 
      821*T1^8*T2^10 + 532*T1^9*T2^10 + 167*T1^10*T2^10 - 277*T1^11*T2^10 + 
      100*T1^12*T2^10 - 44*T1^5*T2^11 + 172*T1^6*T2^11 - 277*T1^7*T2^11 + 
      125*T1^8*T2^11 + 125*T1^9*T2^11 - 277*T1^10*T2^11 + 172*T1^11*T2^11 - 
      44*T1^12*T2^11 + 9*T1^6*T2^12 - 44*T1^7*T2^12 + 100*T1^8*T2^12 - 
      125*T1^9*T2^12 + 100*T1^10*T2^12 - 44*T1^11*T2^12 + 9*T1^12*T2^12)/
     (T1^6*T2^6))}, 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, 
   (1 - 2*T1 + 3*T1^2 - 3*T1^3 + 3*T1^4 - 2*T1^5 + T1^6 - 2*T2 - 2*T1*T2 + 
     4*T1^2*T2 - 2*T1^3*T2 - 2*T1^4*T2 + 4*T1^5*T2 - 2*T1^6*T2 - 2*T1^7*T2 + 
     3*T2^2 + 4*T1*T2^2 + 15*T1^2*T2^2 - 40*T1^3*T2^2 + 45*T1^4*T2^2 - 
     40*T1^5*T2^2 + 15*T1^6*T2^2 + 4*T1^7*T2^2 + 3*T1^8*T2^2 - 3*T2^3 - 
     2*T1*T2^3 - 40*T1^2*T2^3 + 46*T1^3*T2^3 - 9*T1^4*T2^3 - 9*T1^5*T2^3 + 
     46*T1^6*T2^3 - 40*T1^7*T2^3 - 2*T1^8*T2^3 - 3*T1^9*T2^3 + 3*T2^4 - 
     2*T1*T2^4 + 45*T1^2*T2^4 - 9*T1^3*T2^4 - 42*T1^4*T2^4 + 34*T1^5*T2^4 - 
     42*T1^6*T2^4 - 9*T1^7*T2^4 + 45*T1^8*T2^4 - 2*T1^9*T2^4 + 3*T1^10*T2^4 - 
     2*T2^5 + 4*T1*T2^5 - 40*T1^2*T2^5 - 9*T1^3*T2^5 + 34*T1^4*T2^5 - 
     4*T1^5*T2^5 - 4*T1^6*T2^5 + 34*T1^7*T2^5 - 9*T1^8*T2^5 - 40*T1^9*T2^5 + 
     4*T1^10*T2^5 - 2*T1^11*T2^5 + T2^6 - 2*T1*T2^6 + 15*T1^2*T2^6 + 
     46*T1^3*T2^6 - 42*T1^4*T2^6 - 4*T1^5*T2^6 + 12*T1^6*T2^6 - 4*T1^7*T2^6 - 
     42*T1^8*T2^6 + 46*T1^9*T2^6 + 15*T1^10*T2^6 - 2*T1^11*T2^6 + 
     T1^12*T2^6 - 2*T1*T2^7 + 4*T1^2*T2^7 - 40*T1^3*T2^7 - 9*T1^4*T2^7 + 
     34*T1^5*T2^7 - 4*T1^6*T2^7 - 4*T1^7*T2^7 + 34*T1^8*T2^7 - 9*T1^9*T2^7 - 
     40*T1^10*T2^7 + 4*T1^11*T2^7 - 2*T1^12*T2^7 + 3*T1^2*T2^8 - 
     2*T1^3*T2^8 + 45*T1^4*T2^8 - 9*T1^5*T2^8 - 42*T1^6*T2^8 + 34*T1^7*T2^8 - 
     42*T1^8*T2^8 - 9*T1^9*T2^8 + 45*T1^10*T2^8 - 2*T1^11*T2^8 + 
     3*T1^12*T2^8 - 3*T1^3*T2^9 - 2*T1^4*T2^9 - 40*T1^5*T2^9 + 46*T1^6*T2^9 - 
     9*T1^7*T2^9 - 9*T1^8*T2^9 + 46*T1^9*T2^9 - 40*T1^10*T2^9 - 
     2*T1^11*T2^9 - 3*T1^12*T2^9 + 3*T1^4*T2^10 + 4*T1^5*T2^10 + 
     15*T1^6*T2^10 - 40*T1^7*T2^10 + 45*T1^8*T2^10 - 40*T1^9*T2^10 + 
     15*T1^10*T2^10 + 4*T1^11*T2^10 + 3*T1^12*T2^10 - 2*T1^5*T2^11 - 
     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 - 2*T1^12*T2^11 + T1^6*T2^12 - 
     2*T1^7*T2^12 + 3*T1^8*T2^12 - 3*T1^9*T2^12 + 3*T1^10*T2^12 - 
     2*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 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, 
   (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 + 40*T1*T2 - 70*T1^2*T2 + 50*T1^3*T2 - 20*T1^4*T2 - 
     20*T1^5*T2 + 50*T1^6*T2 - 70*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     24*T2^2 - 70*T1*T2^2 + 60*T1^2*T2^2 + 82*T1^3*T2^2 - 128*T1^4*T2^2 + 
     160*T1^5*T2^2 - 128*T1^6*T2^2 + 82*T1^7*T2^2 + 60*T1^8*T2^2 - 
     70*T1^9*T2^2 + 24*T1^10*T2^2 - 34*T2^3 + 50*T1*T2^3 + 82*T1^2*T2^3 - 
     328*T1^3*T2^3 + 173*T1^4*T2^3 - 85*T1^5*T2^3 - 85*T1^6*T2^3 + 
     173*T1^7*T2^3 - 328*T1^8*T2^3 + 82*T1^9*T2^3 + 50*T1^10*T2^3 - 
     34*T1^11*T2^3 + 38*T2^4 - 20*T1*T2^4 - 128*T1^2*T2^4 + 173*T1^3*T2^4 + 
     436*T1^4*T2^4 - 547*T1^5*T2^4 + 686*T1^6*T2^4 - 547*T1^7*T2^4 + 
     436*T1^8*T2^4 + 173*T1^9*T2^4 - 128*T1^10*T2^4 - 20*T1^11*T2^4 + 
     38*T1^12*T2^4 - 34*T2^5 - 20*T1*T2^5 + 160*T1^2*T2^5 - 85*T1^3*T2^5 - 
     547*T1^4*T2^5 + 204*T1^5*T2^5 - 149*T1^6*T2^5 - 149*T1^7*T2^5 + 
     204*T1^8*T2^5 - 547*T1^9*T2^5 - 85*T1^10*T2^5 + 160*T1^11*T2^5 - 
     20*T1^12*T2^5 - 34*T1^13*T2^5 + 24*T2^6 + 50*T1*T2^6 - 128*T1^2*T2^6 - 
     85*T1^3*T2^6 + 686*T1^4*T2^6 - 149*T1^5*T2^6 + 299*T1^6*T2^6 - 
     153*T1^7*T2^6 + 299*T1^8*T2^6 - 149*T1^9*T2^6 + 686*T1^10*T2^6 - 
     85*T1^11*T2^6 - 128*T1^12*T2^6 + 50*T1^13*T2^6 + 24*T1^14*T2^6 - 
     10*T2^7 - 70*T1*T2^7 + 82*T1^2*T2^7 + 173*T1^3*T2^7 - 547*T1^4*T2^7 - 
     149*T1^5*T2^7 - 153*T1^6*T2^7 - 38*T1^7*T2^7 - 38*T1^8*T2^7 - 
     153*T1^9*T2^7 - 149*T1^10*T2^7 - 547*T1^11*T2^7 + 173*T1^12*T2^7 + 
     82*T1^13*T2^7 - 70*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 + 
     60*T1^2*T2^8 - 328*T1^3*T2^8 + 436*T1^4*T2^8 + 204*T1^5*T2^8 + 
     299*T1^6*T2^8 - 38*T1^7*T2^8 + 132*T1^8*T2^8 - 38*T1^9*T2^8 + 
     299*T1^10*T2^8 + 204*T1^11*T2^8 + 436*T1^12*T2^8 - 328*T1^13*T2^8 + 
     60*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     70*T1^2*T2^9 + 82*T1^3*T2^9 + 173*T1^4*T2^9 - 547*T1^5*T2^9 - 
     149*T1^6*T2^9 - 153*T1^7*T2^9 - 38*T1^8*T2^9 - 38*T1^9*T2^9 - 
     153*T1^10*T2^9 - 149*T1^11*T2^9 - 547*T1^12*T2^9 + 173*T1^13*T2^9 + 
     82*T1^14*T2^9 - 70*T1^15*T2^9 - 10*T1^16*T2^9 + 24*T1^2*T2^10 + 
     50*T1^3*T2^10 - 128*T1^4*T2^10 - 85*T1^5*T2^10 + 686*T1^6*T2^10 - 
     149*T1^7*T2^10 + 299*T1^8*T2^10 - 153*T1^9*T2^10 + 299*T1^10*T2^10 - 
     149*T1^11*T2^10 + 686*T1^12*T2^10 - 85*T1^13*T2^10 - 128*T1^14*T2^10 + 
     50*T1^15*T2^10 + 24*T1^16*T2^10 - 34*T1^3*T2^11 - 20*T1^4*T2^11 + 
     160*T1^5*T2^11 - 85*T1^6*T2^11 - 547*T1^7*T2^11 + 204*T1^8*T2^11 - 
     149*T1^9*T2^11 - 149*T1^10*T2^11 + 204*T1^11*T2^11 - 547*T1^12*T2^11 - 
     85*T1^13*T2^11 + 160*T1^14*T2^11 - 20*T1^15*T2^11 - 34*T1^16*T2^11 + 
     38*T1^4*T2^12 - 20*T1^5*T2^12 - 128*T1^6*T2^12 + 173*T1^7*T2^12 + 
     436*T1^8*T2^12 - 547*T1^9*T2^12 + 686*T1^10*T2^12 - 547*T1^11*T2^12 + 
     436*T1^12*T2^12 + 173*T1^13*T2^12 - 128*T1^14*T2^12 - 20*T1^15*T2^12 + 
     38*T1^16*T2^12 - 34*T1^5*T2^13 + 50*T1^6*T2^13 + 82*T1^7*T2^13 - 
     328*T1^8*T2^13 + 173*T1^9*T2^13 - 85*T1^10*T2^13 - 85*T1^11*T2^13 + 
     173*T1^12*T2^13 - 328*T1^13*T2^13 + 82*T1^14*T2^13 + 50*T1^15*T2^13 - 
     34*T1^16*T2^13 + 24*T1^6*T2^14 - 70*T1^7*T2^14 + 60*T1^8*T2^14 + 
     82*T1^9*T2^14 - 128*T1^10*T2^14 + 160*T1^11*T2^14 - 128*T1^12*T2^14 + 
     82*T1^13*T2^14 + 60*T1^14*T2^14 - 70*T1^15*T2^14 + 24*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 70*T1^9*T2^15 + 50*T1^10*T2^15 - 
     20*T1^11*T2^15 - 20*T1^12*T2^15 + 50*T1^13*T2^15 - 70*T1^14*T2^15 + 
     40*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)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 659] -> 
  {-((2 - 10*T + 16*T^2 - 17*T^3 + 16*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((17 - 84*T1 + 132*T1^2 - 139*T1^3 + 132*T1^4 - 84*T1^5 + 17*T1^6 - 
      84*T2 + 332*T1*T2 - 241*T1^2*T2 + 37*T1^3*T2 + 37*T1^4*T2 - 
      241*T1^5*T2 + 332*T1^6*T2 - 84*T1^7*T2 + 132*T2^2 - 241*T1*T2^2 - 
      847*T1^2*T2^2 + 1437*T1^3*T2^2 - 1303*T1^4*T2^2 + 1437*T1^5*T2^2 - 
      847*T1^6*T2^2 - 241*T1^7*T2^2 + 132*T1^8*T2^2 - 139*T2^3 + 37*T1*T2^3 + 
      1437*T1^2*T2^3 - 928*T1^3*T2^3 - 37*T1^4*T2^3 - 37*T1^5*T2^3 - 
      928*T1^6*T2^3 + 1437*T1^7*T2^3 + 37*T1^8*T2^3 - 139*T1^9*T2^3 + 
      132*T2^4 + 37*T1*T2^4 - 1303*T1^2*T2^4 - 37*T1^3*T2^4 + 652*T1^4*T2^4 - 
      80*T1^5*T2^4 + 652*T1^6*T2^4 - 37*T1^7*T2^4 - 1303*T1^8*T2^4 + 
      37*T1^9*T2^4 + 132*T1^10*T2^4 - 84*T2^5 - 241*T1*T2^5 + 
      1437*T1^2*T2^5 - 37*T1^3*T2^5 - 80*T1^4*T2^5 - 314*T1^5*T2^5 - 
      314*T1^6*T2^5 - 80*T1^7*T2^5 - 37*T1^8*T2^5 + 1437*T1^9*T2^5 - 
      241*T1^10*T2^5 - 84*T1^11*T2^5 + 17*T2^6 + 332*T1*T2^6 - 
      847*T1^2*T2^6 - 928*T1^3*T2^6 + 652*T1^4*T2^6 - 314*T1^5*T2^6 + 
      732*T1^6*T2^6 - 314*T1^7*T2^6 + 652*T1^8*T2^6 - 928*T1^9*T2^6 - 
      847*T1^10*T2^6 + 332*T1^11*T2^6 + 17*T1^12*T2^6 - 84*T1*T2^7 - 
      241*T1^2*T2^7 + 1437*T1^3*T2^7 - 37*T1^4*T2^7 - 80*T1^5*T2^7 - 
      314*T1^6*T2^7 - 314*T1^7*T2^7 - 80*T1^8*T2^7 - 37*T1^9*T2^7 + 
      1437*T1^10*T2^7 - 241*T1^11*T2^7 - 84*T1^12*T2^7 + 132*T1^2*T2^8 + 
      37*T1^3*T2^8 - 1303*T1^4*T2^8 - 37*T1^5*T2^8 + 652*T1^6*T2^8 - 
      80*T1^7*T2^8 + 652*T1^8*T2^8 - 37*T1^9*T2^8 - 1303*T1^10*T2^8 + 
      37*T1^11*T2^8 + 132*T1^12*T2^8 - 139*T1^3*T2^9 + 37*T1^4*T2^9 + 
      1437*T1^5*T2^9 - 928*T1^6*T2^9 - 37*T1^7*T2^9 - 37*T1^8*T2^9 - 
      928*T1^9*T2^9 + 1437*T1^10*T2^9 + 37*T1^11*T2^9 - 139*T1^12*T2^9 + 
      132*T1^4*T2^10 - 241*T1^5*T2^10 - 847*T1^6*T2^10 + 1437*T1^7*T2^10 - 
      1303*T1^8*T2^10 + 1437*T1^9*T2^10 - 847*T1^10*T2^10 - 241*T1^11*T2^10 + 
      132*T1^12*T2^10 - 84*T1^5*T2^11 + 332*T1^6*T2^11 - 241*T1^7*T2^11 + 
      37*T1^8*T2^11 + 37*T1^9*T2^11 - 241*T1^10*T2^11 + 332*T1^11*T2^11 - 
      84*T1^12*T2^11 + 17*T1^6*T2^12 - 84*T1^7*T2^12 + 132*T1^8*T2^12 - 
      139*T1^9*T2^12 + 132*T1^10*T2^12 - 84*T1^11*T2^12 + 17*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, NonAlternating, 660] -> 
  {((1 - T + T^2)*(1 + 4*T - 9*T^2 + 4*T^3 + T^4))/T^3, 
   -((3 + 9*T1 - 36*T1^2 + 51*T1^3 - 36*T1^4 + 9*T1^5 + 3*T1^6 + 9*T2 + 
      34*T1*T2 - 81*T1^2*T2 + 47*T1^3*T2 + 47*T1^4*T2 - 81*T1^5*T2 + 
      34*T1^6*T2 + 9*T1^7*T2 - 36*T2^2 - 81*T1*T2^2 + 451*T1^2*T2^2 - 
      900*T1^3*T2^2 + 1093*T1^4*T2^2 - 900*T1^5*T2^2 + 451*T1^6*T2^2 - 
      81*T1^7*T2^2 - 36*T1^8*T2^2 + 51*T2^3 + 47*T1*T2^3 - 900*T1^2*T2^3 + 
      1478*T1^3*T2^3 - 743*T1^4*T2^3 - 743*T1^5*T2^3 + 1478*T1^6*T2^3 - 
      900*T1^7*T2^3 + 47*T1^8*T2^3 + 51*T1^9*T2^3 - 36*T2^4 + 47*T1*T2^4 + 
      1093*T1^2*T2^4 - 743*T1^3*T2^4 - 1265*T1^4*T2^4 + 2485*T1^5*T2^4 - 
      1265*T1^6*T2^4 - 743*T1^7*T2^4 + 1093*T1^8*T2^4 + 47*T1^9*T2^4 - 
      36*T1^10*T2^4 + 9*T2^5 - 81*T1*T2^5 - 900*T1^2*T2^5 - 743*T1^3*T2^5 + 
      2485*T1^4*T2^5 - 1462*T1^5*T2^5 - 1462*T1^6*T2^5 + 2485*T1^7*T2^5 - 
      743*T1^8*T2^5 - 900*T1^9*T2^5 - 81*T1^10*T2^5 + 9*T1^11*T2^5 + 3*T2^6 + 
      34*T1*T2^6 + 451*T1^2*T2^6 + 1478*T1^3*T2^6 - 1265*T1^4*T2^6 - 
      1462*T1^5*T2^6 + 3240*T1^6*T2^6 - 1462*T1^7*T2^6 - 1265*T1^8*T2^6 + 
      1478*T1^9*T2^6 + 451*T1^10*T2^6 + 34*T1^11*T2^6 + 3*T1^12*T2^6 + 
      9*T1*T2^7 - 81*T1^2*T2^7 - 900*T1^3*T2^7 - 743*T1^4*T2^7 + 
      2485*T1^5*T2^7 - 1462*T1^6*T2^7 - 1462*T1^7*T2^7 + 2485*T1^8*T2^7 - 
      743*T1^9*T2^7 - 900*T1^10*T2^7 - 81*T1^11*T2^7 + 9*T1^12*T2^7 - 
      36*T1^2*T2^8 + 47*T1^3*T2^8 + 1093*T1^4*T2^8 - 743*T1^5*T2^8 - 
      1265*T1^6*T2^8 + 2485*T1^7*T2^8 - 1265*T1^8*T2^8 - 743*T1^9*T2^8 + 
      1093*T1^10*T2^8 + 47*T1^11*T2^8 - 36*T1^12*T2^8 + 51*T1^3*T2^9 + 
      47*T1^4*T2^9 - 900*T1^5*T2^9 + 1478*T1^6*T2^9 - 743*T1^7*T2^9 - 
      743*T1^8*T2^9 + 1478*T1^9*T2^9 - 900*T1^10*T2^9 + 47*T1^11*T2^9 + 
      51*T1^12*T2^9 - 36*T1^4*T2^10 - 81*T1^5*T2^10 + 451*T1^6*T2^10 - 
      900*T1^7*T2^10 + 1093*T1^8*T2^10 - 900*T1^9*T2^10 + 451*T1^10*T2^10 - 
      81*T1^11*T2^10 - 36*T1^12*T2^10 + 9*T1^5*T2^11 + 34*T1^6*T2^11 - 
      81*T1^7*T2^11 + 47*T1^8*T2^11 + 47*T1^9*T2^11 - 81*T1^10*T2^11 + 
      34*T1^11*T2^11 + 9*T1^12*T2^11 + 3*T1^6*T2^12 + 9*T1^7*T2^12 - 
      36*T1^8*T2^12 + 51*T1^9*T2^12 - 36*T1^10*T2^12 + 9*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 661] -> 
  {-((2 - 6*T + 5*T^2 - 3*T^3 + 5*T^4 - 6*T^5 + 2*T^6)/T^3), 
   -((15 - 44*T1 + 36*T1^2 - 21*T1^3 + 36*T1^4 - 44*T1^5 + 15*T1^6 - 44*T2 + 
      84*T1*T2 + 25*T1^2*T2 - 45*T1^3*T2 - 45*T1^4*T2 + 25*T1^5*T2 + 
      84*T1^6*T2 - 44*T1^7*T2 + 36*T2^2 + 25*T1*T2^2 - 251*T1^2*T2^2 + 
      144*T1^3*T2^2 + 5*T1^4*T2^2 + 144*T1^5*T2^2 - 251*T1^6*T2^2 + 
      25*T1^7*T2^2 + 36*T1^8*T2^2 - 21*T2^3 - 45*T1*T2^3 + 144*T1^2*T2^3 + 
      74*T1^3*T2^3 - 104*T1^4*T2^3 - 104*T1^5*T2^3 + 74*T1^6*T2^3 + 
      144*T1^7*T2^3 - 45*T1^8*T2^3 - 21*T1^9*T2^3 + 36*T2^4 - 45*T1*T2^4 + 
      5*T1^2*T2^4 - 104*T1^3*T2^4 + 88*T1^4*T2^4 - 26*T1^5*T2^4 + 
      88*T1^6*T2^4 - 104*T1^7*T2^4 + 5*T1^8*T2^4 - 45*T1^9*T2^4 + 
      36*T1^10*T2^4 - 44*T2^5 + 25*T1*T2^5 + 144*T1^2*T2^5 - 104*T1^3*T2^5 - 
      26*T1^4*T2^5 + 24*T1^5*T2^5 + 24*T1^6*T2^5 - 26*T1^7*T2^5 - 
      104*T1^8*T2^5 + 144*T1^9*T2^5 + 25*T1^10*T2^5 - 44*T1^11*T2^5 + 
      15*T2^6 + 84*T1*T2^6 - 251*T1^2*T2^6 + 74*T1^3*T2^6 + 88*T1^4*T2^6 + 
      24*T1^5*T2^6 - 96*T1^6*T2^6 + 24*T1^7*T2^6 + 88*T1^8*T2^6 + 
      74*T1^9*T2^6 - 251*T1^10*T2^6 + 84*T1^11*T2^6 + 15*T1^12*T2^6 - 
      44*T1*T2^7 + 25*T1^2*T2^7 + 144*T1^3*T2^7 - 104*T1^4*T2^7 - 
      26*T1^5*T2^7 + 24*T1^6*T2^7 + 24*T1^7*T2^7 - 26*T1^8*T2^7 - 
      104*T1^9*T2^7 + 144*T1^10*T2^7 + 25*T1^11*T2^7 - 44*T1^12*T2^7 + 
      36*T1^2*T2^8 - 45*T1^3*T2^8 + 5*T1^4*T2^8 - 104*T1^5*T2^8 + 
      88*T1^6*T2^8 - 26*T1^7*T2^8 + 88*T1^8*T2^8 - 104*T1^9*T2^8 + 
      5*T1^10*T2^8 - 45*T1^11*T2^8 + 36*T1^12*T2^8 - 21*T1^3*T2^9 - 
      45*T1^4*T2^9 + 144*T1^5*T2^9 + 74*T1^6*T2^9 - 104*T1^7*T2^9 - 
      104*T1^8*T2^9 + 74*T1^9*T2^9 + 144*T1^10*T2^9 - 45*T1^11*T2^9 - 
      21*T1^12*T2^9 + 36*T1^4*T2^10 + 25*T1^5*T2^10 - 251*T1^6*T2^10 + 
      144*T1^7*T2^10 + 5*T1^8*T2^10 + 144*T1^9*T2^10 - 251*T1^10*T2^10 + 
      25*T1^11*T2^10 + 36*T1^12*T2^10 - 44*T1^5*T2^11 + 84*T1^6*T2^11 + 
      25*T1^7*T2^11 - 45*T1^8*T2^11 - 45*T1^9*T2^11 + 25*T1^10*T2^11 + 
      84*T1^11*T2^11 - 44*T1^12*T2^11 + 15*T1^6*T2^12 - 44*T1^7*T2^12 + 
      36*T1^8*T2^12 - 21*T1^9*T2^12 + 36*T1^10*T2^12 - 44*T1^11*T2^12 + 
      15*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 662] -> 
  {(2 - 8*T + 13*T^2 - 13*T^3 + 13*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (7 - 28*T1 + 44*T1^2 - 43*T1^3 + 44*T1^4 - 28*T1^5 + 7*T1^6 - 28*T2 + 
     84*T1*T2 - 64*T1^2*T2 - 4*T1^3*T2 - 4*T1^4*T2 - 64*T1^5*T2 + 
     84*T1^6*T2 - 28*T1^7*T2 + 44*T2^2 - 64*T1*T2^2 - 130*T1^2*T2^2 + 
     273*T1^3*T2^2 - 164*T1^4*T2^2 + 273*T1^5*T2^2 - 130*T1^6*T2^2 - 
     64*T1^7*T2^2 + 44*T1^8*T2^2 - 43*T2^3 - 4*T1*T2^3 + 273*T1^2*T2^3 - 
     246*T1^3*T2^3 - 53*T1^4*T2^3 - 53*T1^5*T2^3 - 246*T1^6*T2^3 + 
     273*T1^7*T2^3 - 4*T1^8*T2^3 - 43*T1^9*T2^3 + 44*T2^4 - 4*T1*T2^4 - 
     164*T1^2*T2^4 - 53*T1^3*T2^4 + 417*T1^4*T2^4 - 341*T1^5*T2^4 + 
     417*T1^6*T2^4 - 53*T1^7*T2^4 - 164*T1^8*T2^4 - 4*T1^9*T2^4 + 
     44*T1^10*T2^4 - 28*T2^5 - 64*T1*T2^5 + 273*T1^2*T2^5 - 53*T1^3*T2^5 - 
     341*T1^4*T2^5 + 180*T1^5*T2^5 + 180*T1^6*T2^5 - 341*T1^7*T2^5 - 
     53*T1^8*T2^5 + 273*T1^9*T2^5 - 64*T1^10*T2^5 - 28*T1^11*T2^5 + 7*T2^6 + 
     84*T1*T2^6 - 130*T1^2*T2^6 - 246*T1^3*T2^6 + 417*T1^4*T2^6 + 
     180*T1^5*T2^6 - 600*T1^6*T2^6 + 180*T1^7*T2^6 + 417*T1^8*T2^6 - 
     246*T1^9*T2^6 - 130*T1^10*T2^6 + 84*T1^11*T2^6 + 7*T1^12*T2^6 - 
     28*T1*T2^7 - 64*T1^2*T2^7 + 273*T1^3*T2^7 - 53*T1^4*T2^7 - 
     341*T1^5*T2^7 + 180*T1^6*T2^7 + 180*T1^7*T2^7 - 341*T1^8*T2^7 - 
     53*T1^9*T2^7 + 273*T1^10*T2^7 - 64*T1^11*T2^7 - 28*T1^12*T2^7 + 
     44*T1^2*T2^8 - 4*T1^3*T2^8 - 164*T1^4*T2^8 - 53*T1^5*T2^8 + 
     417*T1^6*T2^8 - 341*T1^7*T2^8 + 417*T1^8*T2^8 - 53*T1^9*T2^8 - 
     164*T1^10*T2^8 - 4*T1^11*T2^8 + 44*T1^12*T2^8 - 43*T1^3*T2^9 - 
     4*T1^4*T2^9 + 273*T1^5*T2^9 - 246*T1^6*T2^9 - 53*T1^7*T2^9 - 
     53*T1^8*T2^9 - 246*T1^9*T2^9 + 273*T1^10*T2^9 - 4*T1^11*T2^9 - 
     43*T1^12*T2^9 + 44*T1^4*T2^10 - 64*T1^5*T2^10 - 130*T1^6*T2^10 + 
     273*T1^7*T2^10 - 164*T1^8*T2^10 + 273*T1^9*T2^10 - 130*T1^10*T2^10 - 
     64*T1^11*T2^10 + 44*T1^12*T2^10 - 28*T1^5*T2^11 + 84*T1^6*T2^11 - 
     64*T1^7*T2^11 - 4*T1^8*T2^11 - 4*T1^9*T2^11 - 64*T1^10*T2^11 + 
     84*T1^11*T2^11 - 28*T1^12*T2^11 + 7*T1^6*T2^12 - 28*T1^7*T2^12 + 
     44*T1^8*T2^12 - 43*T1^9*T2^12 + 44*T1^10*T2^12 - 28*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, 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), 
   -((1 - 6*T1 + 15*T1^2 - 23*T1^3 + 25*T1^4 - 23*T1^5 + 15*T1^6 - 6*T1^7 + 
      T1^8 - 6*T2 + 30*T1*T2 - 54*T1^2*T2 + 48*T1^3*T2 - 12*T1^4*T2 - 
      12*T1^5*T2 + 48*T1^6*T2 - 54*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 
      15*T2^2 - 54*T1*T2^2 + 24*T1^2*T2^2 + 107*T1^3*T2^2 - 236*T1^4*T2^2 + 
      224*T1^5*T2^2 - 236*T1^6*T2^2 + 107*T1^7*T2^2 + 24*T1^8*T2^2 - 
      54*T1^9*T2^2 + 15*T1^10*T2^2 - 23*T2^3 + 48*T1*T2^3 + 107*T1^2*T2^3 - 
      326*T1^3*T2^3 + 335*T1^4*T2^3 - 40*T1^5*T2^3 - 40*T1^6*T2^3 + 
      335*T1^7*T2^3 - 326*T1^8*T2^3 + 107*T1^9*T2^3 + 48*T1^10*T2^3 - 
      23*T1^11*T2^3 + 25*T2^4 - 12*T1*T2^4 - 236*T1^2*T2^4 + 335*T1^3*T2^4 - 
      23*T1^4*T2^4 - 472*T1^5*T2^4 + 347*T1^6*T2^4 - 472*T1^7*T2^4 - 
      23*T1^8*T2^4 + 335*T1^9*T2^4 - 236*T1^10*T2^4 - 12*T1^11*T2^4 + 
      25*T1^12*T2^4 - 23*T2^5 - 12*T1*T2^5 + 224*T1^2*T2^5 - 40*T1^3*T2^5 - 
      472*T1^4*T2^5 + 726*T1^5*T2^5 - 102*T1^6*T2^5 - 102*T1^7*T2^5 + 
      726*T1^8*T2^5 - 472*T1^9*T2^5 - 40*T1^10*T2^5 + 224*T1^11*T2^5 - 
      12*T1^12*T2^5 - 23*T1^13*T2^5 + 15*T2^6 + 48*T1*T2^6 - 236*T1^2*T2^6 - 
      40*T1^3*T2^6 + 347*T1^4*T2^6 - 102*T1^5*T2^6 - 808*T1^6*T2^6 + 
      914*T1^7*T2^6 - 808*T1^8*T2^6 - 102*T1^9*T2^6 + 347*T1^10*T2^6 - 
      40*T1^11*T2^6 - 236*T1^12*T2^6 + 48*T1^13*T2^6 + 15*T1^14*T2^6 - 
      6*T2^7 - 54*T1*T2^7 + 107*T1^2*T2^7 + 335*T1^3*T2^7 - 472*T1^4*T2^7 - 
      102*T1^5*T2^7 + 914*T1^6*T2^7 - 440*T1^7*T2^7 - 440*T1^8*T2^7 + 
      914*T1^9*T2^7 - 102*T1^10*T2^7 - 472*T1^11*T2^7 + 335*T1^12*T2^7 + 
      107*T1^13*T2^7 - 54*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 
      24*T1^2*T2^8 - 326*T1^3*T2^8 - 23*T1^4*T2^8 + 726*T1^5*T2^8 - 
      808*T1^6*T2^8 - 440*T1^7*T2^8 + 1116*T1^8*T2^8 - 440*T1^9*T2^8 - 
      808*T1^10*T2^8 + 726*T1^11*T2^8 - 23*T1^12*T2^8 - 326*T1^13*T2^8 + 
      24*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 54*T1^2*T2^9 + 
      107*T1^3*T2^9 + 335*T1^4*T2^9 - 472*T1^5*T2^9 - 102*T1^6*T2^9 + 
      914*T1^7*T2^9 - 440*T1^8*T2^9 - 440*T1^9*T2^9 + 914*T1^10*T2^9 - 
      102*T1^11*T2^9 - 472*T1^12*T2^9 + 335*T1^13*T2^9 + 107*T1^14*T2^9 - 
      54*T1^15*T2^9 - 6*T1^16*T2^9 + 15*T1^2*T2^10 + 48*T1^3*T2^10 - 
      236*T1^4*T2^10 - 40*T1^5*T2^10 + 347*T1^6*T2^10 - 102*T1^7*T2^10 - 
      808*T1^8*T2^10 + 914*T1^9*T2^10 - 808*T1^10*T2^10 - 102*T1^11*T2^10 + 
      347*T1^12*T2^10 - 40*T1^13*T2^10 - 236*T1^14*T2^10 + 48*T1^15*T2^10 + 
      15*T1^16*T2^10 - 23*T1^3*T2^11 - 12*T1^4*T2^11 + 224*T1^5*T2^11 - 
      40*T1^6*T2^11 - 472*T1^7*T2^11 + 726*T1^8*T2^11 - 102*T1^9*T2^11 - 
      102*T1^10*T2^11 + 726*T1^11*T2^11 - 472*T1^12*T2^11 - 40*T1^13*T2^11 + 
      224*T1^14*T2^11 - 12*T1^15*T2^11 - 23*T1^16*T2^11 + 25*T1^4*T2^12 - 
      12*T1^5*T2^12 - 236*T1^6*T2^12 + 335*T1^7*T2^12 - 23*T1^8*T2^12 - 
      472*T1^9*T2^12 + 347*T1^10*T2^12 - 472*T1^11*T2^12 - 23*T1^12*T2^12 + 
      335*T1^13*T2^12 - 236*T1^14*T2^12 - 12*T1^15*T2^12 + 25*T1^16*T2^12 - 
      23*T1^5*T2^13 + 48*T1^6*T2^13 + 107*T1^7*T2^13 - 326*T1^8*T2^13 + 
      335*T1^9*T2^13 - 40*T1^10*T2^13 - 40*T1^11*T2^13 + 335*T1^12*T2^13 - 
      326*T1^13*T2^13 + 107*T1^14*T2^13 + 48*T1^15*T2^13 - 23*T1^16*T2^13 + 
      15*T1^6*T2^14 - 54*T1^7*T2^14 + 24*T1^8*T2^14 + 107*T1^9*T2^14 - 
      236*T1^10*T2^14 + 224*T1^11*T2^14 - 236*T1^12*T2^14 + 107*T1^13*T2^14 + 
      24*T1^14*T2^14 - 54*T1^15*T2^14 + 15*T1^16*T2^14 - 6*T1^7*T2^15 + 
      30*T1^8*T2^15 - 54*T1^9*T2^15 + 48*T1^10*T2^15 - 12*T1^11*T2^15 - 
      12*T1^12*T2^15 + 48*T1^13*T2^15 - 54*T1^14*T2^15 + 30*T1^15*T2^15 - 
      6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 15*T1^10*T2^16 - 
      23*T1^11*T2^16 + 25*T1^12*T2^16 - 23*T1^13*T2^16 + 15*T1^14*T2^16 - 
      6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   (1 - 5*T1 + 10*T1^2 - 13*T1^3 + 10*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     14*T1*T2 - 5*T1^2*T2 + 3*T1^3*T2 + 3*T1^4*T2 - 5*T1^5*T2 + 14*T1^6*T2 - 
     5*T1^7*T2 + 10*T2^2 - 5*T1*T2^2 - 31*T1^2*T2^2 - 80*T1^3*T2^2 + 
     125*T1^4*T2^2 - 80*T1^5*T2^2 - 31*T1^6*T2^2 - 5*T1^7*T2^2 + 
     10*T1^8*T2^2 - 13*T2^3 + 3*T1*T2^3 - 80*T1^2*T2^3 + 464*T1^3*T2^3 - 
     216*T1^4*T2^3 - 216*T1^5*T2^3 + 464*T1^6*T2^3 - 80*T1^7*T2^3 + 
     3*T1^8*T2^3 - 13*T1^9*T2^3 + 10*T2^4 + 3*T1*T2^4 + 125*T1^2*T2^4 - 
     216*T1^3*T2^4 - 1049*T1^4*T2^4 + 1509*T1^5*T2^4 - 1049*T1^6*T2^4 - 
     216*T1^7*T2^4 + 125*T1^8*T2^4 + 3*T1^9*T2^4 + 10*T1^10*T2^4 - 5*T2^5 - 
     5*T1*T2^5 - 80*T1^2*T2^5 - 216*T1^3*T2^5 + 1509*T1^4*T2^5 - 
     598*T1^5*T2^5 - 598*T1^6*T2^5 + 1509*T1^7*T2^5 - 216*T1^8*T2^5 - 
     80*T1^9*T2^5 - 5*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 14*T1*T2^6 - 
     31*T1^2*T2^6 + 464*T1^3*T2^6 - 1049*T1^4*T2^6 - 598*T1^5*T2^6 + 
     984*T1^6*T2^6 - 598*T1^7*T2^6 - 1049*T1^8*T2^6 + 464*T1^9*T2^6 - 
     31*T1^10*T2^6 + 14*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 5*T1^2*T2^7 - 
     80*T1^3*T2^7 - 216*T1^4*T2^7 + 1509*T1^5*T2^7 - 598*T1^6*T2^7 - 
     598*T1^7*T2^7 + 1509*T1^8*T2^7 - 216*T1^9*T2^7 - 80*T1^10*T2^7 - 
     5*T1^11*T2^7 - 5*T1^12*T2^7 + 10*T1^2*T2^8 + 3*T1^3*T2^8 + 
     125*T1^4*T2^8 - 216*T1^5*T2^8 - 1049*T1^6*T2^8 + 1509*T1^7*T2^8 - 
     1049*T1^8*T2^8 - 216*T1^9*T2^8 + 125*T1^10*T2^8 + 3*T1^11*T2^8 + 
     10*T1^12*T2^8 - 13*T1^3*T2^9 + 3*T1^4*T2^9 - 80*T1^5*T2^9 + 
     464*T1^6*T2^9 - 216*T1^7*T2^9 - 216*T1^8*T2^9 + 464*T1^9*T2^9 - 
     80*T1^10*T2^9 + 3*T1^11*T2^9 - 13*T1^12*T2^9 + 10*T1^4*T2^10 - 
     5*T1^5*T2^10 - 31*T1^6*T2^10 - 80*T1^7*T2^10 + 125*T1^8*T2^10 - 
     80*T1^9*T2^10 - 31*T1^10*T2^10 - 5*T1^11*T2^10 + 10*T1^12*T2^10 - 
     5*T1^5*T2^11 + 14*T1^6*T2^11 - 5*T1^7*T2^11 + 3*T1^8*T2^11 + 
     3*T1^9*T2^11 - 5*T1^10*T2^11 + 14*T1^11*T2^11 - 5*T1^12*T2^11 + 
     T1^6*T2^12 - 5*T1^7*T2^12 + 10*T1^8*T2^12 - 13*T1^9*T2^12 + 
     10*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 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 + 13*T1^2*T2^2 + 66*T1^3*T2^2 - 
      123*T1^4*T2^2 + 66*T1^5*T2^2 + 13*T1^6*T2^2 - 9*T1^7*T2^2 + 
      2*T1^8*T2^2 - 4*T2^3 + 8*T1*T2^3 + 66*T1^2*T2^3 - 302*T1^3*T2^3 + 
      177*T1^4*T2^3 + 177*T1^5*T2^3 - 302*T1^6*T2^3 + 66*T1^7*T2^3 + 
      8*T1^8*T2^3 - 4*T1^9*T2^3 + 2*T2^4 + 8*T1*T2^4 - 123*T1^2*T2^4 + 
      177*T1^3*T2^4 + 757*T1^4*T2^4 - 1303*T1^5*T2^4 + 757*T1^6*T2^4 + 
      177*T1^7*T2^4 - 123*T1^8*T2^4 + 8*T1^9*T2^4 + 2*T1^10*T2^4 - 
      9*T1*T2^5 + 66*T1^2*T2^5 + 177*T1^3*T2^5 - 1303*T1^4*T2^5 + 
      748*T1^5*T2^5 + 748*T1^6*T2^5 - 1303*T1^7*T2^5 + 177*T1^8*T2^5 + 
      66*T1^9*T2^5 - 9*T1^10*T2^5 + 13*T1^2*T2^6 - 302*T1^3*T2^6 + 
      757*T1^4*T2^6 + 748*T1^5*T2^6 - 1644*T1^6*T2^6 + 748*T1^7*T2^6 + 
      757*T1^8*T2^6 - 302*T1^9*T2^6 + 13*T1^10*T2^6 - 9*T1^2*T2^7 + 
      66*T1^3*T2^7 + 177*T1^4*T2^7 - 1303*T1^5*T2^7 + 748*T1^6*T2^7 + 
      748*T1^7*T2^7 - 1303*T1^8*T2^7 + 177*T1^9*T2^7 + 66*T1^10*T2^7 - 
      9*T1^11*T2^7 + 2*T1^2*T2^8 + 8*T1^3*T2^8 - 123*T1^4*T2^8 + 
      177*T1^5*T2^8 + 757*T1^6*T2^8 - 1303*T1^7*T2^8 + 757*T1^8*T2^8 + 
      177*T1^9*T2^8 - 123*T1^10*T2^8 + 8*T1^11*T2^8 + 2*T1^12*T2^8 - 
      4*T1^3*T2^9 + 8*T1^4*T2^9 + 66*T1^5*T2^9 - 302*T1^6*T2^9 + 
      177*T1^7*T2^9 + 177*T1^8*T2^9 - 302*T1^9*T2^9 + 66*T1^10*T2^9 + 
      8*T1^11*T2^9 - 4*T1^12*T2^9 + 2*T1^4*T2^10 - 9*T1^5*T2^10 + 
      13*T1^6*T2^10 + 66*T1^7*T2^10 - 123*T1^8*T2^10 + 66*T1^9*T2^10 + 
      13*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)/(T1^6*T2^6))}, 
 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)*
     (2 - 6*T1 + 12*T1^2 - 14*T1^3 + 12*T1^4 - 6*T1^5 + 2*T1^6 - 6*T2 + 
      12*T1*T2 - 18*T1^2*T2 + 6*T1^3*T2 + 6*T1^4*T2 - 18*T1^5*T2 + 
      12*T1^6*T2 - 6*T1^7*T2 + 12*T2^2 - 18*T1*T2^2 + 38*T1^2*T2^2 - 
      21*T1^3*T2^2 + 24*T1^4*T2^2 - 21*T1^5*T2^2 + 38*T1^6*T2^2 - 
      18*T1^7*T2^2 + 12*T1^8*T2^2 - 14*T2^3 + 6*T1*T2^3 - 21*T1^2*T2^3 - 
      28*T1^3*T2^3 + 3*T1^4*T2^3 + 3*T1^5*T2^3 - 28*T1^6*T2^3 - 
      21*T1^7*T2^3 + 6*T1^8*T2^3 - 14*T1^9*T2^3 + 12*T2^4 + 6*T1*T2^4 + 
      24*T1^2*T2^4 + 3*T1^3*T2^4 + 94*T1^4*T2^4 - 98*T1^5*T2^4 + 
      94*T1^6*T2^4 + 3*T1^7*T2^4 + 24*T1^8*T2^4 + 6*T1^9*T2^4 + 
      12*T1^10*T2^4 - 6*T2^5 - 18*T1*T2^5 - 21*T1^2*T2^5 + 3*T1^3*T2^5 - 
      98*T1^4*T2^5 + 20*T1^5*T2^5 + 20*T1^6*T2^5 - 98*T1^7*T2^5 + 
      3*T1^8*T2^5 - 21*T1^9*T2^5 - 18*T1^10*T2^5 - 6*T1^11*T2^5 + 2*T2^6 + 
      12*T1*T2^6 + 38*T1^2*T2^6 - 28*T1^3*T2^6 + 94*T1^4*T2^6 + 
      20*T1^5*T2^6 - 12*T1^6*T2^6 + 20*T1^7*T2^6 + 94*T1^8*T2^6 - 
      28*T1^9*T2^6 + 38*T1^10*T2^6 + 12*T1^11*T2^6 + 2*T1^12*T2^6 - 
      6*T1*T2^7 - 18*T1^2*T2^7 - 21*T1^3*T2^7 + 3*T1^4*T2^7 - 98*T1^5*T2^7 + 
      20*T1^6*T2^7 + 20*T1^7*T2^7 - 98*T1^8*T2^7 + 3*T1^9*T2^7 - 
      21*T1^10*T2^7 - 18*T1^11*T2^7 - 6*T1^12*T2^7 + 12*T1^2*T2^8 + 
      6*T1^3*T2^8 + 24*T1^4*T2^8 + 3*T1^5*T2^8 + 94*T1^6*T2^8 - 
      98*T1^7*T2^8 + 94*T1^8*T2^8 + 3*T1^9*T2^8 + 24*T1^10*T2^8 + 
      6*T1^11*T2^8 + 12*T1^12*T2^8 - 14*T1^3*T2^9 + 6*T1^4*T2^9 - 
      21*T1^5*T2^9 - 28*T1^6*T2^9 + 3*T1^7*T2^9 + 3*T1^8*T2^9 - 
      28*T1^9*T2^9 - 21*T1^10*T2^9 + 6*T1^11*T2^9 - 14*T1^12*T2^9 + 
      12*T1^4*T2^10 - 18*T1^5*T2^10 + 38*T1^6*T2^10 - 21*T1^7*T2^10 + 
      24*T1^8*T2^10 - 21*T1^9*T2^10 + 38*T1^10*T2^10 - 18*T1^11*T2^10 + 
      12*T1^12*T2^10 - 6*T1^5*T2^11 + 12*T1^6*T2^11 - 18*T1^7*T2^11 + 
      6*T1^8*T2^11 + 6*T1^9*T2^11 - 18*T1^10*T2^11 + 12*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))/
    (T1^8*T2^8)}, Knot[12, NonAlternating, 667] -> 
  {((2 - 2*T + T^2)*(1 - T + T^2)*(1 - 2*T + 2*T^2))/T^3, 
   (9 - 36*T1 + 77*T1^2 - 95*T1^3 + 77*T1^4 - 36*T1^5 + 9*T1^6 - 36*T2 + 
     108*T1*T2 - 164*T1^2*T2 + 72*T1^3*T2 + 72*T1^4*T2 - 164*T1^5*T2 + 
     108*T1^6*T2 - 36*T1^7*T2 + 77*T2^2 - 164*T1*T2^2 + 220*T1^2*T2^2 - 
     45*T1^3*T2^2 + 8*T1^4*T2^2 - 45*T1^5*T2^2 + 220*T1^6*T2^2 - 
     164*T1^7*T2^2 + 77*T1^8*T2^2 - 95*T2^3 + 72*T1*T2^3 - 45*T1^2*T2^3 - 
     246*T1^3*T2^3 + 41*T1^4*T2^3 + 41*T1^5*T2^3 - 246*T1^6*T2^3 - 
     45*T1^7*T2^3 + 72*T1^8*T2^3 - 95*T1^9*T2^3 + 77*T2^4 + 72*T1*T2^4 + 
     8*T1^2*T2^4 + 41*T1^3*T2^4 + 735*T1^4*T2^4 - 737*T1^5*T2^4 + 
     735*T1^6*T2^4 + 41*T1^7*T2^4 + 8*T1^8*T2^4 + 72*T1^9*T2^4 + 
     77*T1^10*T2^4 - 36*T2^5 - 164*T1*T2^5 - 45*T1^2*T2^5 + 41*T1^3*T2^5 - 
     737*T1^4*T2^5 + 84*T1^5*T2^5 + 84*T1^6*T2^5 - 737*T1^7*T2^5 + 
     41*T1^8*T2^5 - 45*T1^9*T2^5 - 164*T1^10*T2^5 - 36*T1^11*T2^5 + 9*T2^6 + 
     108*T1*T2^6 + 220*T1^2*T2^6 - 246*T1^3*T2^6 + 735*T1^4*T2^6 + 
     84*T1^5*T2^6 + 144*T1^6*T2^6 + 84*T1^7*T2^6 + 735*T1^8*T2^6 - 
     246*T1^9*T2^6 + 220*T1^10*T2^6 + 108*T1^11*T2^6 + 9*T1^12*T2^6 - 
     36*T1*T2^7 - 164*T1^2*T2^7 - 45*T1^3*T2^7 + 41*T1^4*T2^7 - 
     737*T1^5*T2^7 + 84*T1^6*T2^7 + 84*T1^7*T2^7 - 737*T1^8*T2^7 + 
     41*T1^9*T2^7 - 45*T1^10*T2^7 - 164*T1^11*T2^7 - 36*T1^12*T2^7 + 
     77*T1^2*T2^8 + 72*T1^3*T2^8 + 8*T1^4*T2^8 + 41*T1^5*T2^8 + 
     735*T1^6*T2^8 - 737*T1^7*T2^8 + 735*T1^8*T2^8 + 41*T1^9*T2^8 + 
     8*T1^10*T2^8 + 72*T1^11*T2^8 + 77*T1^12*T2^8 - 95*T1^3*T2^9 + 
     72*T1^4*T2^9 - 45*T1^5*T2^9 - 246*T1^6*T2^9 + 41*T1^7*T2^9 + 
     41*T1^8*T2^9 - 246*T1^9*T2^9 - 45*T1^10*T2^9 + 72*T1^11*T2^9 - 
     95*T1^12*T2^9 + 77*T1^4*T2^10 - 164*T1^5*T2^10 + 220*T1^6*T2^10 - 
     45*T1^7*T2^10 + 8*T1^8*T2^10 - 45*T1^9*T2^10 + 220*T1^10*T2^10 - 
     164*T1^11*T2^10 + 77*T1^12*T2^10 - 36*T1^5*T2^11 + 108*T1^6*T2^11 - 
     164*T1^7*T2^11 + 72*T1^8*T2^11 + 72*T1^9*T2^11 - 164*T1^10*T2^11 + 
     108*T1^11*T2^11 - 36*T1^12*T2^11 + 9*T1^6*T2^12 - 36*T1^7*T2^12 + 
     77*T1^8*T2^12 - 95*T1^9*T2^12 + 77*T1^10*T2^12 - 36*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   (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 + 40*T1*T2 - 80*T1^2*T2 + 80*T1^3*T2 - 40*T1^4*T2 - 
     40*T1^5*T2 + 80*T1^6*T2 - 80*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     26*T2^2 - 80*T1*T2^2 + 109*T1^2*T2^2 - 5*T1^3*T2^2 - 106*T1^4*T2^2 + 
     211*T1^5*T2^2 - 106*T1^6*T2^2 - 5*T1^7*T2^2 + 109*T1^8*T2^2 - 
     80*T1^9*T2^2 + 26*T1^10*T2^2 - 42*T2^3 + 80*T1*T2^3 - 5*T1^2*T2^3 - 
     260*T1^3*T2^3 + 288*T1^4*T2^3 - 217*T1^5*T2^3 - 217*T1^6*T2^3 + 
     288*T1^7*T2^3 - 260*T1^8*T2^3 - 5*T1^9*T2^3 + 80*T1^10*T2^3 - 
     42*T1^11*T2^3 + 50*T2^4 - 40*T1*T2^4 - 106*T1^2*T2^4 + 288*T1^3*T2^4 + 
     136*T1^4*T2^4 - 458*T1^5*T2^4 + 974*T1^6*T2^4 - 458*T1^7*T2^4 + 
     136*T1^8*T2^4 + 288*T1^9*T2^4 - 106*T1^10*T2^4 - 40*T1^11*T2^4 + 
     50*T1^12*T2^4 - 42*T2^5 - 40*T1*T2^5 + 211*T1^2*T2^5 - 217*T1^3*T2^5 - 
     458*T1^4*T2^5 + 466*T1^5*T2^5 - 558*T1^6*T2^5 - 558*T1^7*T2^5 + 
     466*T1^8*T2^5 - 458*T1^9*T2^5 - 217*T1^10*T2^5 + 211*T1^11*T2^5 - 
     40*T1^12*T2^5 - 42*T1^13*T2^5 + 26*T2^6 + 80*T1*T2^6 - 106*T1^2*T2^6 - 
     217*T1^3*T2^6 + 974*T1^4*T2^6 - 558*T1^5*T2^6 + 467*T1^6*T2^6 + 
     535*T1^7*T2^6 + 467*T1^8*T2^6 - 558*T1^9*T2^6 + 974*T1^10*T2^6 - 
     217*T1^11*T2^6 - 106*T1^12*T2^6 + 80*T1^13*T2^6 + 26*T1^14*T2^6 - 
     10*T2^7 - 80*T1*T2^7 - 5*T1^2*T2^7 + 288*T1^3*T2^7 - 458*T1^4*T2^7 - 
     558*T1^5*T2^7 + 535*T1^6*T2^7 - 868*T1^7*T2^7 - 868*T1^8*T2^7 + 
     535*T1^9*T2^7 - 558*T1^10*T2^7 - 458*T1^11*T2^7 + 288*T1^12*T2^7 - 
     5*T1^13*T2^7 - 80*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 + 
     109*T1^2*T2^8 - 260*T1^3*T2^8 + 136*T1^4*T2^8 + 466*T1^5*T2^8 + 
     467*T1^6*T2^8 - 868*T1^7*T2^8 + 2292*T1^8*T2^8 - 868*T1^9*T2^8 + 
     467*T1^10*T2^8 + 466*T1^11*T2^8 + 136*T1^12*T2^8 - 260*T1^13*T2^8 + 
     109*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     80*T1^2*T2^9 - 5*T1^3*T2^9 + 288*T1^4*T2^9 - 458*T1^5*T2^9 - 
     558*T1^6*T2^9 + 535*T1^7*T2^9 - 868*T1^8*T2^9 - 868*T1^9*T2^9 + 
     535*T1^10*T2^9 - 558*T1^11*T2^9 - 458*T1^12*T2^9 + 288*T1^13*T2^9 - 
     5*T1^14*T2^9 - 80*T1^15*T2^9 - 10*T1^16*T2^9 + 26*T1^2*T2^10 + 
     80*T1^3*T2^10 - 106*T1^4*T2^10 - 217*T1^5*T2^10 + 974*T1^6*T2^10 - 
     558*T1^7*T2^10 + 467*T1^8*T2^10 + 535*T1^9*T2^10 + 467*T1^10*T2^10 - 
     558*T1^11*T2^10 + 974*T1^12*T2^10 - 217*T1^13*T2^10 - 106*T1^14*T2^10 + 
     80*T1^15*T2^10 + 26*T1^16*T2^10 - 42*T1^3*T2^11 - 40*T1^4*T2^11 + 
     211*T1^5*T2^11 - 217*T1^6*T2^11 - 458*T1^7*T2^11 + 466*T1^8*T2^11 - 
     558*T1^9*T2^11 - 558*T1^10*T2^11 + 466*T1^11*T2^11 - 458*T1^12*T2^11 - 
     217*T1^13*T2^11 + 211*T1^14*T2^11 - 40*T1^15*T2^11 - 42*T1^16*T2^11 + 
     50*T1^4*T2^12 - 40*T1^5*T2^12 - 106*T1^6*T2^12 + 288*T1^7*T2^12 + 
     136*T1^8*T2^12 - 458*T1^9*T2^12 + 974*T1^10*T2^12 - 458*T1^11*T2^12 + 
     136*T1^12*T2^12 + 288*T1^13*T2^12 - 106*T1^14*T2^12 - 40*T1^15*T2^12 + 
     50*T1^16*T2^12 - 42*T1^5*T2^13 + 80*T1^6*T2^13 - 5*T1^7*T2^13 - 
     260*T1^8*T2^13 + 288*T1^9*T2^13 - 217*T1^10*T2^13 - 217*T1^11*T2^13 + 
     288*T1^12*T2^13 - 260*T1^13*T2^13 - 5*T1^14*T2^13 + 80*T1^15*T2^13 - 
     42*T1^16*T2^13 + 26*T1^6*T2^14 - 80*T1^7*T2^14 + 109*T1^8*T2^14 - 
     5*T1^9*T2^14 - 106*T1^10*T2^14 + 211*T1^11*T2^14 - 106*T1^12*T2^14 - 
     5*T1^13*T2^14 + 109*T1^14*T2^14 - 80*T1^15*T2^14 + 26*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 80*T1^9*T2^15 + 80*T1^10*T2^15 - 
     40*T1^11*T2^15 - 40*T1^12*T2^15 + 80*T1^13*T2^15 - 80*T1^14*T2^15 + 
     40*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)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 669] -> 
  {((1 - T + T^2)*(2 - 8*T + 13*T^2 - 8*T^3 + 2*T^4))/T^3, 
   (9 - 45*T1 + 104*T1^2 - 131*T1^3 + 104*T1^4 - 45*T1^5 + 9*T1^6 - 45*T2 + 
     180*T1*T2 - 295*T1^2*T2 + 135*T1^3*T2 + 135*T1^4*T2 - 295*T1^5*T2 + 
     180*T1^6*T2 - 45*T1^7*T2 + 104*T2^2 - 295*T1*T2^2 + 163*T1^2*T2^2 + 
     632*T1^3*T2^2 - 973*T1^4*T2^2 + 632*T1^5*T2^2 + 163*T1^6*T2^2 - 
     295*T1^7*T2^2 + 104*T1^8*T2^2 - 131*T2^3 + 135*T1*T2^3 + 632*T1^2*T2^3 - 
     1790*T1^3*T2^3 + 821*T1^4*T2^3 + 821*T1^5*T2^3 - 1790*T1^6*T2^3 + 
     632*T1^7*T2^3 + 135*T1^8*T2^3 - 131*T1^9*T2^3 + 104*T2^4 + 135*T1*T2^4 - 
     973*T1^2*T2^4 + 821*T1^3*T2^4 + 2482*T1^4*T2^4 - 3846*T1^5*T2^4 + 
     2482*T1^6*T2^4 + 821*T1^7*T2^4 - 973*T1^8*T2^4 + 135*T1^9*T2^4 + 
     104*T1^10*T2^4 - 45*T2^5 - 295*T1*T2^5 + 632*T1^2*T2^5 + 821*T1^3*T2^5 - 
     3846*T1^4*T2^5 + 1804*T1^5*T2^5 + 1804*T1^6*T2^5 - 3846*T1^7*T2^5 + 
     821*T1^8*T2^5 + 632*T1^9*T2^5 - 295*T1^10*T2^5 - 45*T1^11*T2^5 + 
     9*T2^6 + 180*T1*T2^6 + 163*T1^2*T2^6 - 1790*T1^3*T2^6 + 2482*T1^4*T2^6 + 
     1804*T1^5*T2^6 - 3612*T1^6*T2^6 + 1804*T1^7*T2^6 + 2482*T1^8*T2^6 - 
     1790*T1^9*T2^6 + 163*T1^10*T2^6 + 180*T1^11*T2^6 + 9*T1^12*T2^6 - 
     45*T1*T2^7 - 295*T1^2*T2^7 + 632*T1^3*T2^7 + 821*T1^4*T2^7 - 
     3846*T1^5*T2^7 + 1804*T1^6*T2^7 + 1804*T1^7*T2^7 - 3846*T1^8*T2^7 + 
     821*T1^9*T2^7 + 632*T1^10*T2^7 - 295*T1^11*T2^7 - 45*T1^12*T2^7 + 
     104*T1^2*T2^8 + 135*T1^3*T2^8 - 973*T1^4*T2^8 + 821*T1^5*T2^8 + 
     2482*T1^6*T2^8 - 3846*T1^7*T2^8 + 2482*T1^8*T2^8 + 821*T1^9*T2^8 - 
     973*T1^10*T2^8 + 135*T1^11*T2^8 + 104*T1^12*T2^8 - 131*T1^3*T2^9 + 
     135*T1^4*T2^9 + 632*T1^5*T2^9 - 1790*T1^6*T2^9 + 821*T1^7*T2^9 + 
     821*T1^8*T2^9 - 1790*T1^9*T2^9 + 632*T1^10*T2^9 + 135*T1^11*T2^9 - 
     131*T1^12*T2^9 + 104*T1^4*T2^10 - 295*T1^5*T2^10 + 163*T1^6*T2^10 + 
     632*T1^7*T2^10 - 973*T1^8*T2^10 + 632*T1^9*T2^10 + 163*T1^10*T2^10 - 
     295*T1^11*T2^10 + 104*T1^12*T2^10 - 45*T1^5*T2^11 + 180*T1^6*T2^11 - 
     295*T1^7*T2^11 + 135*T1^8*T2^11 + 135*T1^9*T2^11 - 295*T1^10*T2^11 + 
     180*T1^11*T2^11 - 45*T1^12*T2^11 + 9*T1^6*T2^12 - 45*T1^7*T2^12 + 
     104*T1^8*T2^12 - 131*T1^9*T2^12 + 104*T1^10*T2^12 - 45*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 670] -> 
  {(1 - T + T^2 - T^3 + T^4)^2/T^4, 
   -((2 - 3*T1 + 2*T1^2 + 2*T1^5 - 3*T1^6 + 2*T1^7 - 3*T2 + 2*T1^2*T2 + 
      T1^3*T2 - 8*T1^4*T2 + T1^5*T2 + 2*T1^6*T2 - 3*T1^8*T2 + 2*T2^2 + 
      2*T1*T2^2 + 2*T1^2*T2^2 - 10*T1^3*T2^2 + 10*T1^4*T2^2 + 10*T1^5*T2^2 - 
      10*T1^6*T2^2 + 2*T1^7*T2^2 + 2*T1^8*T2^2 + 2*T1^9*T2^2 + T1*T2^3 - 
      10*T1^2*T2^3 + 30*T1^3*T2^3 - 31*T1^4*T2^3 + 24*T1^5*T2^3 - 
      31*T1^6*T2^3 + 30*T1^7*T2^3 - 10*T1^8*T2^3 + T1^9*T2^3 - 8*T1*T2^4 + 
      10*T1^2*T2^4 - 31*T1^3*T2^4 + 8*T1^4*T2^4 - 4*T1^5*T2^4 - 4*T1^6*T2^4 + 
      8*T1^7*T2^4 - 31*T1^8*T2^4 + 10*T1^9*T2^4 - 8*T1^10*T2^4 + 2*T2^5 + 
      T1*T2^5 + 10*T1^2*T2^5 + 24*T1^3*T2^5 - 4*T1^4*T2^5 + 38*T1^5*T2^5 - 
      30*T1^6*T2^5 + 38*T1^7*T2^5 - 4*T1^8*T2^5 + 24*T1^9*T2^5 + 
      10*T1^10*T2^5 + T1^11*T2^5 + 2*T1^12*T2^5 - 3*T2^6 + 2*T1*T2^6 - 
      10*T1^2*T2^6 - 31*T1^3*T2^6 - 4*T1^4*T2^6 - 30*T1^5*T2^6 - 
      6*T1^6*T2^6 - 6*T1^7*T2^6 - 30*T1^8*T2^6 - 4*T1^9*T2^6 - 
      31*T1^10*T2^6 - 10*T1^11*T2^6 + 2*T1^12*T2^6 - 3*T1^13*T2^6 + 2*T2^7 + 
      2*T1^2*T2^7 + 30*T1^3*T2^7 + 8*T1^4*T2^7 + 38*T1^5*T2^7 - 6*T1^6*T2^7 + 
      36*T1^7*T2^7 - 6*T1^8*T2^7 + 38*T1^9*T2^7 + 8*T1^10*T2^7 + 
      30*T1^11*T2^7 + 2*T1^12*T2^7 + 2*T1^14*T2^7 - 3*T1*T2^8 + 2*T1^2*T2^8 - 
      10*T1^3*T2^8 - 31*T1^4*T2^8 - 4*T1^5*T2^8 - 30*T1^6*T2^8 - 
      6*T1^7*T2^8 - 6*T1^8*T2^8 - 30*T1^9*T2^8 - 4*T1^10*T2^8 - 
      31*T1^11*T2^8 - 10*T1^12*T2^8 + 2*T1^13*T2^8 - 3*T1^14*T2^8 + 
      2*T1^2*T2^9 + T1^3*T2^9 + 10*T1^4*T2^9 + 24*T1^5*T2^9 - 4*T1^6*T2^9 + 
      38*T1^7*T2^9 - 30*T1^8*T2^9 + 38*T1^9*T2^9 - 4*T1^10*T2^9 + 
      24*T1^11*T2^9 + 10*T1^12*T2^9 + T1^13*T2^9 + 2*T1^14*T2^9 - 
      8*T1^4*T2^10 + 10*T1^5*T2^10 - 31*T1^6*T2^10 + 8*T1^7*T2^10 - 
      4*T1^8*T2^10 - 4*T1^9*T2^10 + 8*T1^10*T2^10 - 31*T1^11*T2^10 + 
      10*T1^12*T2^10 - 8*T1^13*T2^10 + T1^5*T2^11 - 10*T1^6*T2^11 + 
      30*T1^7*T2^11 - 31*T1^8*T2^11 + 24*T1^9*T2^11 - 31*T1^10*T2^11 + 
      30*T1^11*T2^11 - 10*T1^12*T2^11 + T1^13*T2^11 + 2*T1^5*T2^12 + 
      2*T1^6*T2^12 + 2*T1^7*T2^12 - 10*T1^8*T2^12 + 10*T1^9*T2^12 + 
      10*T1^10*T2^12 - 10*T1^11*T2^12 + 2*T1^12*T2^12 + 2*T1^13*T2^12 + 
      2*T1^14*T2^12 - 3*T1^6*T2^13 + 2*T1^8*T2^13 + T1^9*T2^13 - 
      8*T1^10*T2^13 + T1^11*T2^13 + 2*T1^12*T2^13 - 3*T1^14*T2^13 + 
      2*T1^7*T2^14 - 3*T1^8*T2^14 + 2*T1^9*T2^14 + 2*T1^12*T2^14 - 
      3*T1^13*T2^14 + 2*T1^14*T2^14)/(T1^7*T2^7))}, 
 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), 
   -((3 - 18*T1 + 39*T1^2 - 54*T1^3 + 57*T1^4 - 54*T1^5 + 39*T1^6 - 18*T1^7 + 
      3*T1^8 - 18*T2 + 90*T1*T2 - 122*T1^2*T2 + 82*T1^3*T2 - 13*T1^4*T2 - 
      13*T1^5*T2 + 82*T1^6*T2 - 122*T1^7*T2 + 90*T1^8*T2 - 18*T1^9*T2 + 
      39*T2^2 - 122*T1*T2^2 - 122*T1^2*T2^2 + 496*T1^3*T2^2 - 712*T1^4*T2^2 + 
      650*T1^5*T2^2 - 712*T1^6*T2^2 + 496*T1^7*T2^2 - 122*T1^8*T2^2 - 
      122*T1^9*T2^2 + 39*T1^10*T2^2 - 54*T2^3 + 82*T1*T2^3 + 496*T1^2*T2^3 - 
      766*T1^3*T2^3 + 502*T1^4*T2^3 + 25*T1^5*T2^3 + 25*T1^6*T2^3 + 
      502*T1^7*T2^3 - 766*T1^8*T2^3 + 496*T1^9*T2^3 + 82*T1^10*T2^3 - 
      54*T1^11*T2^3 + 57*T2^4 - 13*T1*T2^4 - 712*T1^2*T2^4 + 502*T1^3*T2^4 + 
      16*T1^4*T2^4 - 296*T1^5*T2^4 - 304*T1^6*T2^4 - 296*T1^7*T2^4 + 
      16*T1^8*T2^4 + 502*T1^9*T2^4 - 712*T1^10*T2^4 - 13*T1^11*T2^4 + 
      57*T1^12*T2^4 - 54*T2^5 - 13*T1*T2^5 + 650*T1^2*T2^5 + 25*T1^3*T2^5 - 
      296*T1^4*T2^5 + 174*T1^5*T2^5 + 501*T1^6*T2^5 + 501*T1^7*T2^5 + 
      174*T1^8*T2^5 - 296*T1^9*T2^5 + 25*T1^10*T2^5 + 650*T1^11*T2^5 - 
      13*T1^12*T2^5 - 54*T1^13*T2^5 + 39*T2^6 + 82*T1*T2^6 - 712*T1^2*T2^6 + 
      25*T1^3*T2^6 - 304*T1^4*T2^6 + 501*T1^5*T2^6 - 877*T1^6*T2^6 - 
      247*T1^7*T2^6 - 877*T1^8*T2^6 + 501*T1^9*T2^6 - 304*T1^10*T2^6 + 
      25*T1^11*T2^6 - 712*T1^12*T2^6 + 82*T1^13*T2^6 + 39*T1^14*T2^6 - 
      18*T2^7 - 122*T1*T2^7 + 496*T1^2*T2^7 + 502*T1^3*T2^7 - 296*T1^4*T2^7 + 
      501*T1^5*T2^7 - 247*T1^6*T2^7 + 838*T1^7*T2^7 + 838*T1^8*T2^7 - 
      247*T1^9*T2^7 + 501*T1^10*T2^7 - 296*T1^11*T2^7 + 502*T1^12*T2^7 + 
      496*T1^13*T2^7 - 122*T1^14*T2^7 - 18*T1^15*T2^7 + 3*T2^8 + 90*T1*T2^8 - 
      122*T1^2*T2^8 - 766*T1^3*T2^8 + 16*T1^4*T2^8 + 174*T1^5*T2^8 - 
      877*T1^6*T2^8 + 838*T1^7*T2^8 - 2232*T1^8*T2^8 + 838*T1^9*T2^8 - 
      877*T1^10*T2^8 + 174*T1^11*T2^8 + 16*T1^12*T2^8 - 766*T1^13*T2^8 - 
      122*T1^14*T2^8 + 90*T1^15*T2^8 + 3*T1^16*T2^8 - 18*T1*T2^9 - 
      122*T1^2*T2^9 + 496*T1^3*T2^9 + 502*T1^4*T2^9 - 296*T1^5*T2^9 + 
      501*T1^6*T2^9 - 247*T1^7*T2^9 + 838*T1^8*T2^9 + 838*T1^9*T2^9 - 
      247*T1^10*T2^9 + 501*T1^11*T2^9 - 296*T1^12*T2^9 + 502*T1^13*T2^9 + 
      496*T1^14*T2^9 - 122*T1^15*T2^9 - 18*T1^16*T2^9 + 39*T1^2*T2^10 + 
      82*T1^3*T2^10 - 712*T1^4*T2^10 + 25*T1^5*T2^10 - 304*T1^6*T2^10 + 
      501*T1^7*T2^10 - 877*T1^8*T2^10 - 247*T1^9*T2^10 - 877*T1^10*T2^10 + 
      501*T1^11*T2^10 - 304*T1^12*T2^10 + 25*T1^13*T2^10 - 712*T1^14*T2^10 + 
      82*T1^15*T2^10 + 39*T1^16*T2^10 - 54*T1^3*T2^11 - 13*T1^4*T2^11 + 
      650*T1^5*T2^11 + 25*T1^6*T2^11 - 296*T1^7*T2^11 + 174*T1^8*T2^11 + 
      501*T1^9*T2^11 + 501*T1^10*T2^11 + 174*T1^11*T2^11 - 296*T1^12*T2^11 + 
      25*T1^13*T2^11 + 650*T1^14*T2^11 - 13*T1^15*T2^11 - 54*T1^16*T2^11 + 
      57*T1^4*T2^12 - 13*T1^5*T2^12 - 712*T1^6*T2^12 + 502*T1^7*T2^12 + 
      16*T1^8*T2^12 - 296*T1^9*T2^12 - 304*T1^10*T2^12 - 296*T1^11*T2^12 + 
      16*T1^12*T2^12 + 502*T1^13*T2^12 - 712*T1^14*T2^12 - 13*T1^15*T2^12 + 
      57*T1^16*T2^12 - 54*T1^5*T2^13 + 82*T1^6*T2^13 + 496*T1^7*T2^13 - 
      766*T1^8*T2^13 + 502*T1^9*T2^13 + 25*T1^10*T2^13 + 25*T1^11*T2^13 + 
      502*T1^12*T2^13 - 766*T1^13*T2^13 + 496*T1^14*T2^13 + 82*T1^15*T2^13 - 
      54*T1^16*T2^13 + 39*T1^6*T2^14 - 122*T1^7*T2^14 - 122*T1^8*T2^14 + 
      496*T1^9*T2^14 - 712*T1^10*T2^14 + 650*T1^11*T2^14 - 712*T1^12*T2^14 + 
      496*T1^13*T2^14 - 122*T1^14*T2^14 - 122*T1^15*T2^14 + 39*T1^16*T2^14 - 
      18*T1^7*T2^15 + 90*T1^8*T2^15 - 122*T1^9*T2^15 + 82*T1^10*T2^15 - 
      13*T1^11*T2^15 - 13*T1^12*T2^15 + 82*T1^13*T2^15 - 122*T1^14*T2^15 + 
      90*T1^15*T2^15 - 18*T1^16*T2^15 + 3*T1^8*T2^16 - 18*T1^9*T2^16 + 
      39*T1^10*T2^16 - 54*T1^11*T2^16 + 57*T1^12*T2^16 - 54*T1^13*T2^16 + 
      39*T1^14*T2^16 - 18*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 672] -> 
  {(1 - 4*T + 12*T^2 - 17*T^3 + 12*T^4 - 4*T^5 + T^6)/T^3, 
   -((1 - 4*T1 + 12*T1^2 - 17*T1^3 + 12*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 
      12*T1*T2 - 33*T1^2*T2 + 21*T1^3*T2 + 21*T1^4*T2 - 33*T1^5*T2 + 
      12*T1^6*T2 - 4*T1^7*T2 + 12*T2^2 - 33*T1*T2^2 + 84*T1^2*T2^2 - 
      18*T1^3*T2^2 - 54*T1^4*T2^2 - 18*T1^5*T2^2 + 84*T1^6*T2^2 - 
      33*T1^7*T2^2 + 12*T1^8*T2^2 - 17*T2^3 + 21*T1*T2^3 - 18*T1^2*T2^3 - 
      190*T1^3*T2^3 + 158*T1^4*T2^3 + 158*T1^5*T2^3 - 190*T1^6*T2^3 - 
      18*T1^7*T2^3 + 21*T1^8*T2^3 - 17*T1^9*T2^3 + 12*T2^4 + 21*T1*T2^4 - 
      54*T1^2*T2^4 + 158*T1^3*T2^4 + 348*T1^4*T2^4 - 792*T1^5*T2^4 + 
      348*T1^6*T2^4 + 158*T1^7*T2^4 - 54*T1^8*T2^4 + 21*T1^9*T2^4 + 
      12*T1^10*T2^4 - 4*T2^5 - 33*T1*T2^5 - 18*T1^2*T2^5 + 158*T1^3*T2^5 - 
      792*T1^4*T2^5 + 552*T1^5*T2^5 + 552*T1^6*T2^5 - 792*T1^7*T2^5 + 
      158*T1^8*T2^5 - 18*T1^9*T2^5 - 33*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 
      12*T1*T2^6 + 84*T1^2*T2^6 - 190*T1^3*T2^6 + 348*T1^4*T2^6 + 
      552*T1^5*T2^6 - 1296*T1^6*T2^6 + 552*T1^7*T2^6 + 348*T1^8*T2^6 - 
      190*T1^9*T2^6 + 84*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 
      4*T1*T2^7 - 33*T1^2*T2^7 - 18*T1^3*T2^7 + 158*T1^4*T2^7 - 
      792*T1^5*T2^7 + 552*T1^6*T2^7 + 552*T1^7*T2^7 - 792*T1^8*T2^7 + 
      158*T1^9*T2^7 - 18*T1^10*T2^7 - 33*T1^11*T2^7 - 4*T1^12*T2^7 + 
      12*T1^2*T2^8 + 21*T1^3*T2^8 - 54*T1^4*T2^8 + 158*T1^5*T2^8 + 
      348*T1^6*T2^8 - 792*T1^7*T2^8 + 348*T1^8*T2^8 + 158*T1^9*T2^8 - 
      54*T1^10*T2^8 + 21*T1^11*T2^8 + 12*T1^12*T2^8 - 17*T1^3*T2^9 + 
      21*T1^4*T2^9 - 18*T1^5*T2^9 - 190*T1^6*T2^9 + 158*T1^7*T2^9 + 
      158*T1^8*T2^9 - 190*T1^9*T2^9 - 18*T1^10*T2^9 + 21*T1^11*T2^9 - 
      17*T1^12*T2^9 + 12*T1^4*T2^10 - 33*T1^5*T2^10 + 84*T1^6*T2^10 - 
      18*T1^7*T2^10 - 54*T1^8*T2^10 - 18*T1^9*T2^10 + 84*T1^10*T2^10 - 
      33*T1^11*T2^10 + 12*T1^12*T2^10 - 4*T1^5*T2^11 + 12*T1^6*T2^11 - 
      33*T1^7*T2^11 + 21*T1^8*T2^11 + 21*T1^9*T2^11 - 33*T1^10*T2^11 + 
      12*T1^11*T2^11 - 4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 
      12*T1^8*T2^12 - 17*T1^9*T2^12 + 12*T1^10*T2^12 - 4*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 673] -> 
  {((1 - T^2 + T^4)*(1 - T + T^2 - T^3 + T^4))/T^4, 
   -((2 - 3*T1 + 2*T1^2 + 2*T1^5 - 3*T1^6 + 2*T1^7 - 3*T2 + 3*T1^2*T2 - 
      3*T1^3*T2 - 2*T1^4*T2 - 3*T1^5*T2 + 3*T1^6*T2 - 3*T1^8*T2 + 2*T2^2 + 
      3*T1*T2^2 - 2*T1^2*T2^2 + 4*T1^4*T2^2 + 4*T1^5*T2^2 - 2*T1^7*T2^2 + 
      3*T1^8*T2^2 + 2*T1^9*T2^2 - 3*T1*T2^3 + 7*T1^3*T2^3 - 9*T1^4*T2^3 + 
      3*T1^5*T2^3 - 9*T1^6*T2^3 + 7*T1^7*T2^3 - 3*T1^9*T2^3 - 2*T1*T2^4 + 
      4*T1^2*T2^4 - 9*T1^3*T2^4 - 4*T1^4*T2^4 + 5*T1^5*T2^4 + 5*T1^6*T2^4 - 
      4*T1^7*T2^4 - 9*T1^8*T2^4 + 4*T1^9*T2^4 - 2*T1^10*T2^4 + 2*T2^5 - 
      3*T1*T2^5 + 4*T1^2*T2^5 + 3*T1^3*T2^5 + 5*T1^4*T2^5 + 6*T1^5*T2^5 - 
      10*T1^6*T2^5 + 6*T1^7*T2^5 + 5*T1^8*T2^5 + 3*T1^9*T2^5 + 4*T1^10*T2^5 - 
      3*T1^11*T2^5 + 2*T1^12*T2^5 - 3*T2^6 + 3*T1*T2^6 - 9*T1^3*T2^6 + 
      5*T1^4*T2^6 - 10*T1^5*T2^6 + 2*T1^6*T2^6 + 2*T1^7*T2^6 - 10*T1^8*T2^6 + 
      5*T1^9*T2^6 - 9*T1^10*T2^6 + 3*T1^12*T2^6 - 3*T1^13*T2^6 + 2*T2^7 - 
      2*T1^2*T2^7 + 7*T1^3*T2^7 - 4*T1^4*T2^7 + 6*T1^5*T2^7 + 2*T1^6*T2^7 + 
      2*T1^8*T2^7 + 6*T1^9*T2^7 - 4*T1^10*T2^7 + 7*T1^11*T2^7 - 
      2*T1^12*T2^7 + 2*T1^14*T2^7 - 3*T1*T2^8 + 3*T1^2*T2^8 - 9*T1^4*T2^8 + 
      5*T1^5*T2^8 - 10*T1^6*T2^8 + 2*T1^7*T2^8 + 2*T1^8*T2^8 - 10*T1^9*T2^8 + 
      5*T1^10*T2^8 - 9*T1^11*T2^8 + 3*T1^13*T2^8 - 3*T1^14*T2^8 + 
      2*T1^2*T2^9 - 3*T1^3*T2^9 + 4*T1^4*T2^9 + 3*T1^5*T2^9 + 5*T1^6*T2^9 + 
      6*T1^7*T2^9 - 10*T1^8*T2^9 + 6*T1^9*T2^9 + 5*T1^10*T2^9 + 
      3*T1^11*T2^9 + 4*T1^12*T2^9 - 3*T1^13*T2^9 + 2*T1^14*T2^9 - 
      2*T1^4*T2^10 + 4*T1^5*T2^10 - 9*T1^6*T2^10 - 4*T1^7*T2^10 + 
      5*T1^8*T2^10 + 5*T1^9*T2^10 - 4*T1^10*T2^10 - 9*T1^11*T2^10 + 
      4*T1^12*T2^10 - 2*T1^13*T2^10 - 3*T1^5*T2^11 + 7*T1^7*T2^11 - 
      9*T1^8*T2^11 + 3*T1^9*T2^11 - 9*T1^10*T2^11 + 7*T1^11*T2^11 - 
      3*T1^13*T2^11 + 2*T1^5*T2^12 + 3*T1^6*T2^12 - 2*T1^7*T2^12 + 
      4*T1^9*T2^12 + 4*T1^10*T2^12 - 2*T1^12*T2^12 + 3*T1^13*T2^12 + 
      2*T1^14*T2^12 - 3*T1^6*T2^13 + 3*T1^8*T2^13 - 3*T1^9*T2^13 - 
      2*T1^10*T2^13 - 3*T1^11*T2^13 + 3*T1^12*T2^13 - 3*T1^14*T2^13 + 
      2*T1^7*T2^14 - 3*T1^8*T2^14 + 2*T1^9*T2^14 + 2*T1^12*T2^14 - 
      3*T1^13*T2^14 + 2*T1^14*T2^14)/(T1^7*T2^7))}, 
 Knot[12, NonAlternating, 674] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(1 - T + T^2 - T^3 + T^4))/T^4), 
   -((3 - 15*T1 + 30*T1^2 - 42*T1^3 + 45*T1^4 - 42*T1^5 + 30*T1^6 - 15*T1^7 + 
      3*T1^8 - 15*T2 + 60*T1*T2 - 73*T1^2*T2 + 57*T1^3*T2 - 13*T1^4*T2 - 
      13*T1^5*T2 + 57*T1^6*T2 - 73*T1^7*T2 + 60*T1^8*T2 - 15*T1^9*T2 + 
      30*T2^2 - 73*T1*T2^2 - 57*T1^2*T2^2 + 200*T1^3*T2^2 - 323*T1^4*T2^2 + 
      305*T1^5*T2^2 - 323*T1^6*T2^2 + 200*T1^7*T2^2 - 57*T1^8*T2^2 - 
      73*T1^9*T2^2 + 30*T1^10*T2^2 - 42*T2^3 + 57*T1*T2^3 + 200*T1^2*T2^3 - 
      242*T1^3*T2^3 + 212*T1^4*T2^3 + 7*T1^5*T2^3 + 7*T1^6*T2^3 + 
      212*T1^7*T2^3 - 242*T1^8*T2^3 + 200*T1^9*T2^3 + 57*T1^10*T2^3 - 
      42*T1^11*T2^3 + 45*T2^4 - 13*T1*T2^4 - 323*T1^2*T2^4 + 212*T1^3*T2^4 - 
      224*T1^4*T2^4 + 85*T1^5*T2^4 - 334*T1^6*T2^4 + 85*T1^7*T2^4 - 
      224*T1^8*T2^4 + 212*T1^9*T2^4 - 323*T1^10*T2^4 - 13*T1^11*T2^4 + 
      45*T1^12*T2^4 - 42*T2^5 - 13*T1*T2^5 + 305*T1^2*T2^5 + 7*T1^3*T2^5 + 
      85*T1^4*T2^5 + 66*T1^5*T2^5 + 214*T1^6*T2^5 + 214*T1^7*T2^5 + 
      66*T1^8*T2^5 + 85*T1^9*T2^5 + 7*T1^10*T2^5 + 305*T1^11*T2^5 - 
      13*T1^12*T2^5 - 42*T1^13*T2^5 + 30*T2^6 + 57*T1*T2^6 - 323*T1^2*T2^6 + 
      7*T1^3*T2^6 - 334*T1^4*T2^6 + 214*T1^5*T2^6 - 537*T1^6*T2^6 + 
      67*T1^7*T2^6 - 537*T1^8*T2^6 + 214*T1^9*T2^6 - 334*T1^10*T2^6 + 
      7*T1^11*T2^6 - 323*T1^12*T2^6 + 57*T1^13*T2^6 + 30*T1^14*T2^6 - 
      15*T2^7 - 73*T1*T2^7 + 200*T1^2*T2^7 + 212*T1^3*T2^7 + 85*T1^4*T2^7 + 
      214*T1^5*T2^7 + 67*T1^6*T2^7 + 330*T1^7*T2^7 + 330*T1^8*T2^7 + 
      67*T1^9*T2^7 + 214*T1^10*T2^7 + 85*T1^11*T2^7 + 212*T1^12*T2^7 + 
      200*T1^13*T2^7 - 73*T1^14*T2^7 - 15*T1^15*T2^7 + 3*T2^8 + 60*T1*T2^8 - 
      57*T1^2*T2^8 - 242*T1^3*T2^8 - 224*T1^4*T2^8 + 66*T1^5*T2^8 - 
      537*T1^6*T2^8 + 330*T1^7*T2^8 - 960*T1^8*T2^8 + 330*T1^9*T2^8 - 
      537*T1^10*T2^8 + 66*T1^11*T2^8 - 224*T1^12*T2^8 - 242*T1^13*T2^8 - 
      57*T1^14*T2^8 + 60*T1^15*T2^8 + 3*T1^16*T2^8 - 15*T1*T2^9 - 
      73*T1^2*T2^9 + 200*T1^3*T2^9 + 212*T1^4*T2^9 + 85*T1^5*T2^9 + 
      214*T1^6*T2^9 + 67*T1^7*T2^9 + 330*T1^8*T2^9 + 330*T1^9*T2^9 + 
      67*T1^10*T2^9 + 214*T1^11*T2^9 + 85*T1^12*T2^9 + 212*T1^13*T2^9 + 
      200*T1^14*T2^9 - 73*T1^15*T2^9 - 15*T1^16*T2^9 + 30*T1^2*T2^10 + 
      57*T1^3*T2^10 - 323*T1^4*T2^10 + 7*T1^5*T2^10 - 334*T1^6*T2^10 + 
      214*T1^7*T2^10 - 537*T1^8*T2^10 + 67*T1^9*T2^10 - 537*T1^10*T2^10 + 
      214*T1^11*T2^10 - 334*T1^12*T2^10 + 7*T1^13*T2^10 - 323*T1^14*T2^10 + 
      57*T1^15*T2^10 + 30*T1^16*T2^10 - 42*T1^3*T2^11 - 13*T1^4*T2^11 + 
      305*T1^5*T2^11 + 7*T1^6*T2^11 + 85*T1^7*T2^11 + 66*T1^8*T2^11 + 
      214*T1^9*T2^11 + 214*T1^10*T2^11 + 66*T1^11*T2^11 + 85*T1^12*T2^11 + 
      7*T1^13*T2^11 + 305*T1^14*T2^11 - 13*T1^15*T2^11 - 42*T1^16*T2^11 + 
      45*T1^4*T2^12 - 13*T1^5*T2^12 - 323*T1^6*T2^12 + 212*T1^7*T2^12 - 
      224*T1^8*T2^12 + 85*T1^9*T2^12 - 334*T1^10*T2^12 + 85*T1^11*T2^12 - 
      224*T1^12*T2^12 + 212*T1^13*T2^12 - 323*T1^14*T2^12 - 13*T1^15*T2^12 + 
      45*T1^16*T2^12 - 42*T1^5*T2^13 + 57*T1^6*T2^13 + 200*T1^7*T2^13 - 
      242*T1^8*T2^13 + 212*T1^9*T2^13 + 7*T1^10*T2^13 + 7*T1^11*T2^13 + 
      212*T1^12*T2^13 - 242*T1^13*T2^13 + 200*T1^14*T2^13 + 57*T1^15*T2^13 - 
      42*T1^16*T2^13 + 30*T1^6*T2^14 - 73*T1^7*T2^14 - 57*T1^8*T2^14 + 
      200*T1^9*T2^14 - 323*T1^10*T2^14 + 305*T1^11*T2^14 - 323*T1^12*T2^14 + 
      200*T1^13*T2^14 - 57*T1^14*T2^14 - 73*T1^15*T2^14 + 30*T1^16*T2^14 - 
      15*T1^7*T2^15 + 60*T1^8*T2^15 - 73*T1^9*T2^15 + 57*T1^10*T2^15 - 
      13*T1^11*T2^15 - 13*T1^12*T2^15 + 57*T1^13*T2^15 - 73*T1^14*T2^15 + 
      60*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)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 675] -> 
  {((1 - T + T^2)^2*(1 - T + T^2 - T^3 + T^4))/T^4, 
   (1 - 3*T1 + 9*T1^2 - 13*T1^3 + 9*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 - 
     16*T1^2*T2 + 10*T1^3*T2 + 10*T1^4*T2 - 16*T1^5*T2 + 6*T1^6*T2 - 
     3*T1^7*T2 + 9*T2^2 - 16*T1*T2^2 + 44*T1^2*T2^2 - 38*T1^3*T2^2 + 
     30*T1^4*T2^2 - 38*T1^5*T2^2 + 44*T1^6*T2^2 - 16*T1^7*T2^2 + 
     9*T1^8*T2^2 - 13*T2^3 + 10*T1*T2^3 - 38*T1^2*T2^3 - 2*T1^3*T2^3 + 
     2*T1^4*T2^3 + 2*T1^5*T2^3 - 2*T1^6*T2^3 - 38*T1^7*T2^3 + 10*T1^8*T2^3 - 
     13*T1^9*T2^3 + 9*T2^4 + 10*T1*T2^4 + 30*T1^2*T2^4 + 2*T1^3*T2^4 + 
     74*T1^4*T2^4 - 86*T1^5*T2^4 + 74*T1^6*T2^4 + 2*T1^7*T2^4 + 
     30*T1^8*T2^4 + 10*T1^9*T2^4 + 9*T1^10*T2^4 - 3*T2^5 - 16*T1*T2^5 - 
     38*T1^2*T2^5 + 2*T1^3*T2^5 - 86*T1^4*T2^5 + 20*T1^5*T2^5 + 
     20*T1^6*T2^5 - 86*T1^7*T2^5 + 2*T1^8*T2^5 - 38*T1^9*T2^5 - 
     16*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 6*T1*T2^6 + 44*T1^2*T2^6 - 
     2*T1^3*T2^6 + 74*T1^4*T2^6 + 20*T1^5*T2^6 - 12*T1^6*T2^6 + 
     20*T1^7*T2^6 + 74*T1^8*T2^6 - 2*T1^9*T2^6 + 44*T1^10*T2^6 + 
     6*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 - 16*T1^2*T2^7 - 38*T1^3*T2^7 + 
     2*T1^4*T2^7 - 86*T1^5*T2^7 + 20*T1^6*T2^7 + 20*T1^7*T2^7 - 
     86*T1^8*T2^7 + 2*T1^9*T2^7 - 38*T1^10*T2^7 - 16*T1^11*T2^7 - 
     3*T1^12*T2^7 + 9*T1^2*T2^8 + 10*T1^3*T2^8 + 30*T1^4*T2^8 + 2*T1^5*T2^8 + 
     74*T1^6*T2^8 - 86*T1^7*T2^8 + 74*T1^8*T2^8 + 2*T1^9*T2^8 + 
     30*T1^10*T2^8 + 10*T1^11*T2^8 + 9*T1^12*T2^8 - 13*T1^3*T2^9 + 
     10*T1^4*T2^9 - 38*T1^5*T2^9 - 2*T1^6*T2^9 + 2*T1^7*T2^9 + 2*T1^8*T2^9 - 
     2*T1^9*T2^9 - 38*T1^10*T2^9 + 10*T1^11*T2^9 - 13*T1^12*T2^9 + 
     9*T1^4*T2^10 - 16*T1^5*T2^10 + 44*T1^6*T2^10 - 38*T1^7*T2^10 + 
     30*T1^8*T2^10 - 38*T1^9*T2^10 + 44*T1^10*T2^10 - 16*T1^11*T2^10 + 
     9*T1^12*T2^10 - 3*T1^5*T2^11 + 6*T1^6*T2^11 - 16*T1^7*T2^11 + 
     10*T1^8*T2^11 + 10*T1^9*T2^11 - 16*T1^10*T2^11 + 6*T1^11*T2^11 - 
     3*T1^12*T2^11 + T1^6*T2^12 - 3*T1^7*T2^12 + 9*T1^8*T2^12 - 
     13*T1^9*T2^12 + 9*T1^10*T2^12 - 3*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 676] -> 
  {((2 - 2*T + T^3)*(1 - 2*T^2 + 2*T^3))/T^3, 
   (7 - 7*T1 - 15*T1^2 + 33*T1^3 - 15*T1^4 - 7*T1^5 + 7*T1^6 - 7*T2 - 
     16*T1*T2 + 54*T1^2*T2 - 38*T1^3*T2 - 38*T1^4*T2 + 54*T1^5*T2 - 
     16*T1^6*T2 - 7*T1^7*T2 - 15*T2^2 + 54*T1*T2^2 - 25*T1^2*T2^2 - 
     74*T1^3*T2^2 + 145*T1^4*T2^2 - 74*T1^5*T2^2 - 25*T1^6*T2^2 + 
     54*T1^7*T2^2 - 15*T1^8*T2^2 + 33*T2^3 - 38*T1*T2^3 - 74*T1^2*T2^3 + 
     144*T1^3*T2^3 - 77*T1^4*T2^3 - 77*T1^5*T2^3 + 144*T1^6*T2^3 - 
     74*T1^7*T2^3 - 38*T1^8*T2^3 + 33*T1^9*T2^3 - 15*T2^4 - 38*T1*T2^4 + 
     145*T1^2*T2^4 - 77*T1^3*T2^4 - 132*T1^4*T2^4 + 248*T1^5*T2^4 - 
     132*T1^6*T2^4 - 77*T1^7*T2^4 + 145*T1^8*T2^4 - 38*T1^9*T2^4 - 
     15*T1^10*T2^4 - 7*T2^5 + 54*T1*T2^5 - 74*T1^2*T2^5 - 77*T1^3*T2^5 + 
     248*T1^4*T2^5 - 146*T1^5*T2^5 - 146*T1^6*T2^5 + 248*T1^7*T2^5 - 
     77*T1^8*T2^5 - 74*T1^9*T2^5 + 54*T1^10*T2^5 - 7*T1^11*T2^5 + 7*T2^6 - 
     16*T1*T2^6 - 25*T1^2*T2^6 + 144*T1^3*T2^6 - 132*T1^4*T2^6 - 
     146*T1^5*T2^6 + 336*T1^6*T2^6 - 146*T1^7*T2^6 - 132*T1^8*T2^6 + 
     144*T1^9*T2^6 - 25*T1^10*T2^6 - 16*T1^11*T2^6 + 7*T1^12*T2^6 - 
     7*T1*T2^7 + 54*T1^2*T2^7 - 74*T1^3*T2^7 - 77*T1^4*T2^7 + 248*T1^5*T2^7 - 
     146*T1^6*T2^7 - 146*T1^7*T2^7 + 248*T1^8*T2^7 - 77*T1^9*T2^7 - 
     74*T1^10*T2^7 + 54*T1^11*T2^7 - 7*T1^12*T2^7 - 15*T1^2*T2^8 - 
     38*T1^3*T2^8 + 145*T1^4*T2^8 - 77*T1^5*T2^8 - 132*T1^6*T2^8 + 
     248*T1^7*T2^8 - 132*T1^8*T2^8 - 77*T1^9*T2^8 + 145*T1^10*T2^8 - 
     38*T1^11*T2^8 - 15*T1^12*T2^8 + 33*T1^3*T2^9 - 38*T1^4*T2^9 - 
     74*T1^5*T2^9 + 144*T1^6*T2^9 - 77*T1^7*T2^9 - 77*T1^8*T2^9 + 
     144*T1^9*T2^9 - 74*T1^10*T2^9 - 38*T1^11*T2^9 + 33*T1^12*T2^9 - 
     15*T1^4*T2^10 + 54*T1^5*T2^10 - 25*T1^6*T2^10 - 74*T1^7*T2^10 + 
     145*T1^8*T2^10 - 74*T1^9*T2^10 - 25*T1^10*T2^10 + 54*T1^11*T2^10 - 
     15*T1^12*T2^10 - 7*T1^5*T2^11 - 16*T1^6*T2^11 + 54*T1^7*T2^11 - 
     38*T1^8*T2^11 - 38*T1^9*T2^11 + 54*T1^10*T2^11 - 16*T1^11*T2^11 - 
     7*T1^12*T2^11 + 7*T1^6*T2^12 - 7*T1^7*T2^12 - 15*T1^8*T2^12 + 
     33*T1^9*T2^12 - 15*T1^10*T2^12 - 7*T1^11*T2^12 + 7*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 677] -> 
  {-((2 - 10*T + 20*T^2 - 25*T^3 + 20*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((17 - 85*T1 + 169*T1^2 - 211*T1^3 + 169*T1^4 - 85*T1^5 + 17*T1^6 - 
      85*T2 + 340*T1*T2 - 412*T1^2*T2 + 206*T1^3*T2 + 206*T1^4*T2 - 
      412*T1^5*T2 + 340*T1^6*T2 - 85*T1^7*T2 + 169*T2^2 - 412*T1*T2^2 - 
      333*T1^2*T2^2 + 1356*T1^3*T2^2 - 1999*T1^4*T2^2 + 1356*T1^5*T2^2 - 
      333*T1^6*T2^2 - 412*T1^7*T2^2 + 169*T1^8*T2^2 - 211*T2^3 + 
      206*T1*T2^3 + 1356*T1^2*T2^3 - 1854*T1^3*T2^3 + 1093*T1^4*T2^3 + 
      1093*T1^5*T2^3 - 1854*T1^6*T2^3 + 1356*T1^7*T2^3 + 206*T1^8*T2^3 - 
      211*T1^9*T2^3 + 169*T2^4 + 206*T1*T2^4 - 1999*T1^2*T2^4 + 
      1093*T1^3*T2^4 + 376*T1^4*T2^4 - 1914*T1^5*T2^4 + 376*T1^6*T2^4 + 
      1093*T1^7*T2^4 - 1999*T1^8*T2^4 + 206*T1^9*T2^4 + 169*T1^10*T2^4 - 
      85*T2^5 - 412*T1*T2^5 + 1356*T1^2*T2^5 + 1093*T1^3*T2^5 - 
      1914*T1^4*T2^5 + 1548*T1^5*T2^5 + 1548*T1^6*T2^5 - 1914*T1^7*T2^5 + 
      1093*T1^8*T2^5 + 1356*T1^9*T2^5 - 412*T1^10*T2^5 - 85*T1^11*T2^5 + 
      17*T2^6 + 340*T1*T2^6 - 333*T1^2*T2^6 - 1854*T1^3*T2^6 + 
      376*T1^4*T2^6 + 1548*T1^5*T2^6 - 3744*T1^6*T2^6 + 1548*T1^7*T2^6 + 
      376*T1^8*T2^6 - 1854*T1^9*T2^6 - 333*T1^10*T2^6 + 340*T1^11*T2^6 + 
      17*T1^12*T2^6 - 85*T1*T2^7 - 412*T1^2*T2^7 + 1356*T1^3*T2^7 + 
      1093*T1^4*T2^7 - 1914*T1^5*T2^7 + 1548*T1^6*T2^7 + 1548*T1^7*T2^7 - 
      1914*T1^8*T2^7 + 1093*T1^9*T2^7 + 1356*T1^10*T2^7 - 412*T1^11*T2^7 - 
      85*T1^12*T2^7 + 169*T1^2*T2^8 + 206*T1^3*T2^8 - 1999*T1^4*T2^8 + 
      1093*T1^5*T2^8 + 376*T1^6*T2^8 - 1914*T1^7*T2^8 + 376*T1^8*T2^8 + 
      1093*T1^9*T2^8 - 1999*T1^10*T2^8 + 206*T1^11*T2^8 + 169*T1^12*T2^8 - 
      211*T1^3*T2^9 + 206*T1^4*T2^9 + 1356*T1^5*T2^9 - 1854*T1^6*T2^9 + 
      1093*T1^7*T2^9 + 1093*T1^8*T2^9 - 1854*T1^9*T2^9 + 1356*T1^10*T2^9 + 
      206*T1^11*T2^9 - 211*T1^12*T2^9 + 169*T1^4*T2^10 - 412*T1^5*T2^10 - 
      333*T1^6*T2^10 + 1356*T1^7*T2^10 - 1999*T1^8*T2^10 + 1356*T1^9*T2^10 - 
      333*T1^10*T2^10 - 412*T1^11*T2^10 + 169*T1^12*T2^10 - 85*T1^5*T2^11 + 
      340*T1^6*T2^11 - 412*T1^7*T2^11 + 206*T1^8*T2^11 + 206*T1^9*T2^11 - 
      412*T1^10*T2^11 + 340*T1^11*T2^11 - 85*T1^12*T2^11 + 17*T1^6*T2^12 - 
      85*T1^7*T2^12 + 169*T1^8*T2^12 - 211*T1^9*T2^12 + 169*T1^10*T2^12 - 
      85*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 678] -> 
  {(2 - 8*T + 18*T^2 - 23*T^3 + 18*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (7 - 29*T1 + 65*T1^2 - 83*T1^3 + 65*T1^4 - 29*T1^5 + 7*T1^6 - 29*T2 + 
     88*T1*T2 - 148*T1^2*T2 + 74*T1^3*T2 + 74*T1^4*T2 - 148*T1^5*T2 + 
     88*T1^6*T2 - 29*T1^7*T2 + 65*T2^2 - 148*T1*T2^2 + 218*T1^2*T2^2 + 
     5*T1^3*T2^2 - 138*T1^4*T2^2 + 5*T1^5*T2^2 + 218*T1^6*T2^2 - 
     148*T1^7*T2^2 + 65*T1^8*T2^2 - 83*T2^3 + 74*T1*T2^3 + 5*T1^2*T2^3 - 
     464*T1^3*T2^3 + 267*T1^4*T2^3 + 267*T1^5*T2^3 - 464*T1^6*T2^3 + 
     5*T1^7*T2^3 + 74*T1^8*T2^3 - 83*T1^9*T2^3 + 65*T2^4 + 74*T1*T2^4 - 
     138*T1^2*T2^4 + 267*T1^3*T2^4 + 849*T1^4*T2^4 - 1447*T1^5*T2^4 + 
     849*T1^6*T2^4 + 267*T1^7*T2^4 - 138*T1^8*T2^4 + 74*T1^9*T2^4 + 
     65*T1^10*T2^4 - 29*T2^5 - 148*T1*T2^5 + 5*T1^2*T2^5 + 267*T1^3*T2^5 - 
     1447*T1^4*T2^5 + 778*T1^5*T2^5 + 778*T1^6*T2^5 - 1447*T1^7*T2^5 + 
     267*T1^8*T2^5 + 5*T1^9*T2^5 - 148*T1^10*T2^5 - 29*T1^11*T2^5 + 7*T2^6 + 
     88*T1*T2^6 + 218*T1^2*T2^6 - 464*T1^3*T2^6 + 849*T1^4*T2^6 + 
     778*T1^5*T2^6 - 1656*T1^6*T2^6 + 778*T1^7*T2^6 + 849*T1^8*T2^6 - 
     464*T1^9*T2^6 + 218*T1^10*T2^6 + 88*T1^11*T2^6 + 7*T1^12*T2^6 - 
     29*T1*T2^7 - 148*T1^2*T2^7 + 5*T1^3*T2^7 + 267*T1^4*T2^7 - 
     1447*T1^5*T2^7 + 778*T1^6*T2^7 + 778*T1^7*T2^7 - 1447*T1^8*T2^7 + 
     267*T1^9*T2^7 + 5*T1^10*T2^7 - 148*T1^11*T2^7 - 29*T1^12*T2^7 + 
     65*T1^2*T2^8 + 74*T1^3*T2^8 - 138*T1^4*T2^8 + 267*T1^5*T2^8 + 
     849*T1^6*T2^8 - 1447*T1^7*T2^8 + 849*T1^8*T2^8 + 267*T1^9*T2^8 - 
     138*T1^10*T2^8 + 74*T1^11*T2^8 + 65*T1^12*T2^8 - 83*T1^3*T2^9 + 
     74*T1^4*T2^9 + 5*T1^5*T2^9 - 464*T1^6*T2^9 + 267*T1^7*T2^9 + 
     267*T1^8*T2^9 - 464*T1^9*T2^9 + 5*T1^10*T2^9 + 74*T1^11*T2^9 - 
     83*T1^12*T2^9 + 65*T1^4*T2^10 - 148*T1^5*T2^10 + 218*T1^6*T2^10 + 
     5*T1^7*T2^10 - 138*T1^8*T2^10 + 5*T1^9*T2^10 + 218*T1^10*T2^10 - 
     148*T1^11*T2^10 + 65*T1^12*T2^10 - 29*T1^5*T2^11 + 88*T1^6*T2^11 - 
     148*T1^7*T2^11 + 74*T1^8*T2^11 + 74*T1^9*T2^11 - 148*T1^10*T2^11 + 
     88*T1^11*T2^11 - 29*T1^12*T2^11 + 7*T1^6*T2^12 - 29*T1^7*T2^12 + 
     65*T1^8*T2^12 - 83*T1^9*T2^12 + 65*T1^10*T2^12 - 29*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   (5 - 5*T1 - 5*T1^2 + 20*T1^3 - 30*T1^4 + 35*T1^5 - 30*T1^6 + 20*T1^7 - 
     5*T1^8 - 5*T1^9 + 5*T1^10 - 5*T2 + 10*T1^2*T2 - 15*T1^3*T2 + 
     10*T1^4*T2 - 5*T1^5*T2 - 5*T1^6*T2 + 10*T1^7*T2 - 15*T1^8*T2 + 
     10*T1^9*T2 - 5*T1^11*T2 - 5*T2^2 + 10*T1*T2^2 - 4*T1^2*T2^2 - 
     20*T1^3*T2^2 + 51*T1^4*T2^2 - 77*T1^5*T2^2 + 86*T1^6*T2^2 - 
     77*T1^7*T2^2 + 51*T1^8*T2^2 - 20*T1^9*T2^2 - 4*T1^10*T2^2 + 
     10*T1^11*T2^2 - 5*T1^12*T2^2 + 20*T2^3 - 15*T1*T2^3 - 20*T1^2*T2^3 + 
     78*T1^3*T2^3 - 103*T1^4*T2^3 + 90*T1^5*T2^3 - 29*T1^6*T2^3 - 
     29*T1^7*T2^3 + 90*T1^8*T2^3 - 103*T1^9*T2^3 + 78*T1^10*T2^3 - 
     20*T1^11*T2^3 - 15*T1^12*T2^3 + 20*T1^13*T2^3 - 30*T2^4 + 10*T1*T2^4 + 
     51*T1^2*T2^4 - 103*T1^3*T2^4 + 68*T1^4*T2^4 - 15*T1^5*T2^4 - 
     37*T1^6*T2^4 + 38*T1^7*T2^4 - 37*T1^8*T2^4 - 15*T1^9*T2^4 + 
     68*T1^10*T2^4 - 103*T1^11*T2^4 + 51*T1^12*T2^4 + 10*T1^13*T2^4 - 
     30*T1^14*T2^4 + 35*T2^5 - 5*T1*T2^5 - 77*T1^2*T2^5 + 90*T1^3*T2^5 - 
     15*T1^4*T2^5 - 8*T1^5*T2^5 + 3*T1^6*T2^5 + 5*T1^7*T2^5 + 5*T1^8*T2^5 + 
     3*T1^9*T2^5 - 8*T1^10*T2^5 - 15*T1^11*T2^5 + 90*T1^12*T2^5 - 
     77*T1^13*T2^5 - 5*T1^14*T2^5 + 35*T1^15*T2^5 - 30*T2^6 - 5*T1*T2^6 + 
     86*T1^2*T2^6 - 29*T1^3*T2^6 - 37*T1^4*T2^6 + 3*T1^5*T2^6 + 
     31*T1^6*T2^6 - 9*T1^7*T2^6 + 19*T1^8*T2^6 - 9*T1^9*T2^6 + 
     31*T1^10*T2^6 + 3*T1^11*T2^6 - 37*T1^12*T2^6 - 29*T1^13*T2^6 + 
     86*T1^14*T2^6 - 5*T1^15*T2^6 - 30*T1^16*T2^6 + 20*T2^7 + 10*T1*T2^7 - 
     77*T1^2*T2^7 - 29*T1^3*T2^7 + 38*T1^4*T2^7 + 5*T1^5*T2^7 - 9*T1^6*T2^7 - 
     46*T1^7*T2^7 - 13*T1^8*T2^7 - 13*T1^9*T2^7 - 46*T1^10*T2^7 - 
     9*T1^11*T2^7 + 5*T1^12*T2^7 + 38*T1^13*T2^7 - 29*T1^14*T2^7 - 
     77*T1^15*T2^7 + 10*T1^16*T2^7 + 20*T1^17*T2^7 - 5*T2^8 - 15*T1*T2^8 + 
     51*T1^2*T2^8 + 90*T1^3*T2^8 - 37*T1^4*T2^8 + 5*T1^5*T2^8 + 
     19*T1^6*T2^8 - 13*T1^7*T2^8 + 136*T1^8*T2^8 - 74*T1^9*T2^8 + 
     136*T1^10*T2^8 - 13*T1^11*T2^8 + 19*T1^12*T2^8 + 5*T1^13*T2^8 - 
     37*T1^14*T2^8 + 90*T1^15*T2^8 + 51*T1^16*T2^8 - 15*T1^17*T2^8 - 
     5*T1^18*T2^8 - 5*T2^9 + 10*T1*T2^9 - 20*T1^2*T2^9 - 103*T1^3*T2^9 - 
     15*T1^4*T2^9 + 3*T1^5*T2^9 - 9*T1^6*T2^9 - 13*T1^7*T2^9 - 74*T1^8*T2^9 - 
     42*T1^9*T2^9 - 42*T1^10*T2^9 - 74*T1^11*T2^9 - 13*T1^12*T2^9 - 
     9*T1^13*T2^9 + 3*T1^14*T2^9 - 15*T1^15*T2^9 - 103*T1^16*T2^9 - 
     20*T1^17*T2^9 + 10*T1^18*T2^9 - 5*T1^19*T2^9 + 5*T2^10 - 4*T1^2*T2^10 + 
     78*T1^3*T2^10 + 68*T1^4*T2^10 - 8*T1^5*T2^10 + 31*T1^6*T2^10 - 
     46*T1^7*T2^10 + 136*T1^8*T2^10 - 42*T1^9*T2^10 + 156*T1^10*T2^10 - 
     42*T1^11*T2^10 + 136*T1^12*T2^10 - 46*T1^13*T2^10 + 31*T1^14*T2^10 - 
     8*T1^15*T2^10 + 68*T1^16*T2^10 + 78*T1^17*T2^10 - 4*T1^18*T2^10 + 
     5*T1^20*T2^10 - 5*T1*T2^11 + 10*T1^2*T2^11 - 20*T1^3*T2^11 - 
     103*T1^4*T2^11 - 15*T1^5*T2^11 + 3*T1^6*T2^11 - 9*T1^7*T2^11 - 
     13*T1^8*T2^11 - 74*T1^9*T2^11 - 42*T1^10*T2^11 - 42*T1^11*T2^11 - 
     74*T1^12*T2^11 - 13*T1^13*T2^11 - 9*T1^14*T2^11 + 3*T1^15*T2^11 - 
     15*T1^16*T2^11 - 103*T1^17*T2^11 - 20*T1^18*T2^11 + 10*T1^19*T2^11 - 
     5*T1^20*T2^11 - 5*T1^2*T2^12 - 15*T1^3*T2^12 + 51*T1^4*T2^12 + 
     90*T1^5*T2^12 - 37*T1^6*T2^12 + 5*T1^7*T2^12 + 19*T1^8*T2^12 - 
     13*T1^9*T2^12 + 136*T1^10*T2^12 - 74*T1^11*T2^12 + 136*T1^12*T2^12 - 
     13*T1^13*T2^12 + 19*T1^14*T2^12 + 5*T1^15*T2^12 - 37*T1^16*T2^12 + 
     90*T1^17*T2^12 + 51*T1^18*T2^12 - 15*T1^19*T2^12 - 5*T1^20*T2^12 + 
     20*T1^3*T2^13 + 10*T1^4*T2^13 - 77*T1^5*T2^13 - 29*T1^6*T2^13 + 
     38*T1^7*T2^13 + 5*T1^8*T2^13 - 9*T1^9*T2^13 - 46*T1^10*T2^13 - 
     13*T1^11*T2^13 - 13*T1^12*T2^13 - 46*T1^13*T2^13 - 9*T1^14*T2^13 + 
     5*T1^15*T2^13 + 38*T1^16*T2^13 - 29*T1^17*T2^13 - 77*T1^18*T2^13 + 
     10*T1^19*T2^13 + 20*T1^20*T2^13 - 30*T1^4*T2^14 - 5*T1^5*T2^14 + 
     86*T1^6*T2^14 - 29*T1^7*T2^14 - 37*T1^8*T2^14 + 3*T1^9*T2^14 + 
     31*T1^10*T2^14 - 9*T1^11*T2^14 + 19*T1^12*T2^14 - 9*T1^13*T2^14 + 
     31*T1^14*T2^14 + 3*T1^15*T2^14 - 37*T1^16*T2^14 - 29*T1^17*T2^14 + 
     86*T1^18*T2^14 - 5*T1^19*T2^14 - 30*T1^20*T2^14 + 35*T1^5*T2^15 - 
     5*T1^6*T2^15 - 77*T1^7*T2^15 + 90*T1^8*T2^15 - 15*T1^9*T2^15 - 
     8*T1^10*T2^15 + 3*T1^11*T2^15 + 5*T1^12*T2^15 + 5*T1^13*T2^15 + 
     3*T1^14*T2^15 - 8*T1^15*T2^15 - 15*T1^16*T2^15 + 90*T1^17*T2^15 - 
     77*T1^18*T2^15 - 5*T1^19*T2^15 + 35*T1^20*T2^15 - 30*T1^6*T2^16 + 
     10*T1^7*T2^16 + 51*T1^8*T2^16 - 103*T1^9*T2^16 + 68*T1^10*T2^16 - 
     15*T1^11*T2^16 - 37*T1^12*T2^16 + 38*T1^13*T2^16 - 37*T1^14*T2^16 - 
     15*T1^15*T2^16 + 68*T1^16*T2^16 - 103*T1^17*T2^16 + 51*T1^18*T2^16 + 
     10*T1^19*T2^16 - 30*T1^20*T2^16 + 20*T1^7*T2^17 - 15*T1^8*T2^17 - 
     20*T1^9*T2^17 + 78*T1^10*T2^17 - 103*T1^11*T2^17 + 90*T1^12*T2^17 - 
     29*T1^13*T2^17 - 29*T1^14*T2^17 + 90*T1^15*T2^17 - 103*T1^16*T2^17 + 
     78*T1^17*T2^17 - 20*T1^18*T2^17 - 15*T1^19*T2^17 + 20*T1^20*T2^17 - 
     5*T1^8*T2^18 + 10*T1^9*T2^18 - 4*T1^10*T2^18 - 20*T1^11*T2^18 + 
     51*T1^12*T2^18 - 77*T1^13*T2^18 + 86*T1^14*T2^18 - 77*T1^15*T2^18 + 
     51*T1^16*T2^18 - 20*T1^17*T2^18 - 4*T1^18*T2^18 + 10*T1^19*T2^18 - 
     5*T1^20*T2^18 - 5*T1^9*T2^19 + 10*T1^11*T2^19 - 15*T1^12*T2^19 + 
     10*T1^13*T2^19 - 5*T1^14*T2^19 - 5*T1^15*T2^19 + 10*T1^16*T2^19 - 
     15*T1^17*T2^19 + 10*T1^18*T2^19 - 5*T1^20*T2^19 + 5*T1^10*T2^20 - 
     5*T1^11*T2^20 - 5*T1^12*T2^20 + 20*T1^13*T2^20 - 30*T1^14*T2^20 + 
     35*T1^15*T2^20 - 30*T1^16*T2^20 + 20*T1^17*T2^20 - 5*T1^18*T2^20 - 
     5*T1^19*T2^20 + 5*T1^20*T2^20)/(T1^10*T2^10)}, 
 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, 
   (33 - 49*T1 - 17*T1^2 + 132*T1^3 - 181*T1^4 + 132*T1^5 - 17*T1^6 - 
     49*T1^7 + 33*T1^8 - 49*T2 + 24*T1*T2 + 98*T1^2*T2 - 171*T1^3*T2 + 
     73*T1^4*T2 + 73*T1^5*T2 - 171*T1^6*T2 + 98*T1^7*T2 + 24*T1^8*T2 - 
     49*T1^9*T2 - 17*T2^2 + 98*T1*T2^2 - 109*T1^2*T2^2 - 84*T1^3*T2^2 + 
     366*T1^4*T2^2 - 485*T1^5*T2^2 + 366*T1^6*T2^2 - 84*T1^7*T2^2 - 
     109*T1^8*T2^2 + 98*T1^9*T2^2 - 17*T1^10*T2^2 + 132*T2^3 - 171*T1*T2^3 - 
     84*T1^2*T2^3 + 530*T1^3*T2^3 - 661*T1^4*T2^3 + 319*T1^5*T2^3 + 
     319*T1^6*T2^3 - 661*T1^7*T2^3 + 530*T1^8*T2^3 - 84*T1^9*T2^3 - 
     171*T1^10*T2^3 + 132*T1^11*T2^3 - 181*T2^4 + 73*T1*T2^4 + 
     366*T1^2*T2^4 - 661*T1^3*T2^4 + 187*T1^4*T2^4 + 602*T1^5*T2^4 - 
     1069*T1^6*T2^4 + 602*T1^7*T2^4 + 187*T1^8*T2^4 - 661*T1^9*T2^4 + 
     366*T1^10*T2^4 + 73*T1^11*T2^4 - 181*T1^12*T2^4 + 132*T2^5 + 
     73*T1*T2^5 - 485*T1^2*T2^5 + 319*T1^3*T2^5 + 602*T1^4*T2^5 - 
     1082*T1^5*T2^5 + 557*T1^6*T2^5 + 557*T1^7*T2^5 - 1082*T1^8*T2^5 + 
     602*T1^9*T2^5 + 319*T1^10*T2^5 - 485*T1^11*T2^5 + 73*T1^12*T2^5 + 
     132*T1^13*T2^5 - 17*T2^6 - 171*T1*T2^6 + 366*T1^2*T2^6 + 319*T1^3*T2^6 - 
     1069*T1^4*T2^6 + 557*T1^5*T2^6 + 773*T1^6*T2^6 - 1345*T1^7*T2^6 + 
     773*T1^8*T2^6 + 557*T1^9*T2^6 - 1069*T1^10*T2^6 + 319*T1^11*T2^6 + 
     366*T1^12*T2^6 - 171*T1^13*T2^6 - 17*T1^14*T2^6 - 49*T2^7 + 98*T1*T2^7 - 
     84*T1^2*T2^7 - 661*T1^3*T2^7 + 602*T1^4*T2^7 + 557*T1^5*T2^7 - 
     1345*T1^6*T2^7 + 536*T1^7*T2^7 + 536*T1^8*T2^7 - 1345*T1^9*T2^7 + 
     557*T1^10*T2^7 + 602*T1^11*T2^7 - 661*T1^12*T2^7 - 84*T1^13*T2^7 + 
     98*T1^14*T2^7 - 49*T1^15*T2^7 + 33*T2^8 + 24*T1*T2^8 - 109*T1^2*T2^8 + 
     530*T1^3*T2^8 + 187*T1^4*T2^8 - 1082*T1^5*T2^8 + 773*T1^6*T2^8 + 
     536*T1^7*T2^8 - 852*T1^8*T2^8 + 536*T1^9*T2^8 + 773*T1^10*T2^8 - 
     1082*T1^11*T2^8 + 187*T1^12*T2^8 + 530*T1^13*T2^8 - 109*T1^14*T2^8 + 
     24*T1^15*T2^8 + 33*T1^16*T2^8 - 49*T1*T2^9 + 98*T1^2*T2^9 - 
     84*T1^3*T2^9 - 661*T1^4*T2^9 + 602*T1^5*T2^9 + 557*T1^6*T2^9 - 
     1345*T1^7*T2^9 + 536*T1^8*T2^9 + 536*T1^9*T2^9 - 1345*T1^10*T2^9 + 
     557*T1^11*T2^9 + 602*T1^12*T2^9 - 661*T1^13*T2^9 - 84*T1^14*T2^9 + 
     98*T1^15*T2^9 - 49*T1^16*T2^9 - 17*T1^2*T2^10 - 171*T1^3*T2^10 + 
     366*T1^4*T2^10 + 319*T1^5*T2^10 - 1069*T1^6*T2^10 + 557*T1^7*T2^10 + 
     773*T1^8*T2^10 - 1345*T1^9*T2^10 + 773*T1^10*T2^10 + 557*T1^11*T2^10 - 
     1069*T1^12*T2^10 + 319*T1^13*T2^10 + 366*T1^14*T2^10 - 171*T1^15*T2^10 - 
     17*T1^16*T2^10 + 132*T1^3*T2^11 + 73*T1^4*T2^11 - 485*T1^5*T2^11 + 
     319*T1^6*T2^11 + 602*T1^7*T2^11 - 1082*T1^8*T2^11 + 557*T1^9*T2^11 + 
     557*T1^10*T2^11 - 1082*T1^11*T2^11 + 602*T1^12*T2^11 + 319*T1^13*T2^11 - 
     485*T1^14*T2^11 + 73*T1^15*T2^11 + 132*T1^16*T2^11 - 181*T1^4*T2^12 + 
     73*T1^5*T2^12 + 366*T1^6*T2^12 - 661*T1^7*T2^12 + 187*T1^8*T2^12 + 
     602*T1^9*T2^12 - 1069*T1^10*T2^12 + 602*T1^11*T2^12 + 187*T1^12*T2^12 - 
     661*T1^13*T2^12 + 366*T1^14*T2^12 + 73*T1^15*T2^12 - 181*T1^16*T2^12 + 
     132*T1^5*T2^13 - 171*T1^6*T2^13 - 84*T1^7*T2^13 + 530*T1^8*T2^13 - 
     661*T1^9*T2^13 + 319*T1^10*T2^13 + 319*T1^11*T2^13 - 661*T1^12*T2^13 + 
     530*T1^13*T2^13 - 84*T1^14*T2^13 - 171*T1^15*T2^13 + 132*T1^16*T2^13 - 
     17*T1^6*T2^14 + 98*T1^7*T2^14 - 109*T1^8*T2^14 - 84*T1^9*T2^14 + 
     366*T1^10*T2^14 - 485*T1^11*T2^14 + 366*T1^12*T2^14 - 84*T1^13*T2^14 - 
     109*T1^14*T2^14 + 98*T1^15*T2^14 - 17*T1^16*T2^14 - 49*T1^7*T2^15 + 
     24*T1^8*T2^15 + 98*T1^9*T2^15 - 171*T1^10*T2^15 + 73*T1^11*T2^15 + 
     73*T1^12*T2^15 - 171*T1^13*T2^15 + 98*T1^14*T2^15 + 24*T1^15*T2^15 - 
     49*T1^16*T2^15 + 33*T1^8*T2^16 - 49*T1^9*T2^16 - 17*T1^10*T2^16 + 
     132*T1^11*T2^16 - 181*T1^12*T2^16 + 132*T1^13*T2^16 - 17*T1^14*T2^16 - 
     49*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 681] -> {(1 - T + T^2 - T^3 + T^4)^2/T^4, 
   -((2 - 3*T1 + 2*T1^2 + 2*T1^5 - 3*T1^6 + 2*T1^7 - 3*T2 + 2*T1^2*T2 + 
      2*T1^3*T2 - 10*T1^4*T2 + 2*T1^5*T2 + 2*T1^6*T2 - 3*T1^8*T2 + 2*T2^2 + 
      2*T1*T2^2 - 8*T1^3*T2^2 + 10*T1^4*T2^2 + 10*T1^5*T2^2 - 8*T1^6*T2^2 + 
      2*T1^8*T2^2 + 2*T1^9*T2^2 + 2*T1*T2^3 - 8*T1^2*T2^3 + 28*T1^3*T2^3 - 
      31*T1^4*T2^3 + 22*T1^5*T2^3 - 31*T1^6*T2^3 + 28*T1^7*T2^3 - 
      8*T1^8*T2^3 + 2*T1^9*T2^3 - 10*T1*T2^4 + 10*T1^2*T2^4 - 31*T1^3*T2^4 + 
      8*T1^4*T2^4 - 2*T1^5*T2^4 - 2*T1^6*T2^4 + 8*T1^7*T2^4 - 31*T1^8*T2^4 + 
      10*T1^9*T2^4 - 10*T1^10*T2^4 + 2*T2^5 + 2*T1*T2^5 + 10*T1^2*T2^5 + 
      22*T1^3*T2^5 - 2*T1^4*T2^5 + 38*T1^5*T2^5 - 32*T1^6*T2^5 + 
      38*T1^7*T2^5 - 2*T1^8*T2^5 + 22*T1^9*T2^5 + 10*T1^10*T2^5 + 
      2*T1^11*T2^5 + 2*T1^12*T2^5 - 3*T2^6 + 2*T1*T2^6 - 8*T1^2*T2^6 - 
      31*T1^3*T2^6 - 2*T1^4*T2^6 - 32*T1^5*T2^6 - 8*T1^6*T2^6 - 8*T1^7*T2^6 - 
      32*T1^8*T2^6 - 2*T1^9*T2^6 - 31*T1^10*T2^6 - 8*T1^11*T2^6 + 
      2*T1^12*T2^6 - 3*T1^13*T2^6 + 2*T2^7 + 28*T1^3*T2^7 + 8*T1^4*T2^7 + 
      38*T1^5*T2^7 - 8*T1^6*T2^7 + 48*T1^7*T2^7 - 8*T1^8*T2^7 + 
      38*T1^9*T2^7 + 8*T1^10*T2^7 + 28*T1^11*T2^7 + 2*T1^14*T2^7 - 
      3*T1*T2^8 + 2*T1^2*T2^8 - 8*T1^3*T2^8 - 31*T1^4*T2^8 - 2*T1^5*T2^8 - 
      32*T1^6*T2^8 - 8*T1^7*T2^8 - 8*T1^8*T2^8 - 32*T1^9*T2^8 - 
      2*T1^10*T2^8 - 31*T1^11*T2^8 - 8*T1^12*T2^8 + 2*T1^13*T2^8 - 
      3*T1^14*T2^8 + 2*T1^2*T2^9 + 2*T1^3*T2^9 + 10*T1^4*T2^9 + 
      22*T1^5*T2^9 - 2*T1^6*T2^9 + 38*T1^7*T2^9 - 32*T1^8*T2^9 + 
      38*T1^9*T2^9 - 2*T1^10*T2^9 + 22*T1^11*T2^9 + 10*T1^12*T2^9 + 
      2*T1^13*T2^9 + 2*T1^14*T2^9 - 10*T1^4*T2^10 + 10*T1^5*T2^10 - 
      31*T1^6*T2^10 + 8*T1^7*T2^10 - 2*T1^8*T2^10 - 2*T1^9*T2^10 + 
      8*T1^10*T2^10 - 31*T1^11*T2^10 + 10*T1^12*T2^10 - 10*T1^13*T2^10 + 
      2*T1^5*T2^11 - 8*T1^6*T2^11 + 28*T1^7*T2^11 - 31*T1^8*T2^11 + 
      22*T1^9*T2^11 - 31*T1^10*T2^11 + 28*T1^11*T2^11 - 8*T1^12*T2^11 + 
      2*T1^13*T2^11 + 2*T1^5*T2^12 + 2*T1^6*T2^12 - 8*T1^8*T2^12 + 
      10*T1^9*T2^12 + 10*T1^10*T2^12 - 8*T1^11*T2^12 + 2*T1^13*T2^12 + 
      2*T1^14*T2^12 - 3*T1^6*T2^13 + 2*T1^8*T2^13 + 2*T1^9*T2^13 - 
      10*T1^10*T2^13 + 2*T1^11*T2^13 + 2*T1^12*T2^13 - 3*T1^14*T2^13 + 
      2*T1^7*T2^14 - 3*T1^8*T2^14 + 2*T1^9*T2^14 + 2*T1^12*T2^14 - 
      3*T1^13*T2^14 + 2*T1^14*T2^14)/(T1^7*T2^7))}, 
 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), 
   -((3 - 18*T1 + 39*T1^2 - 54*T1^3 + 57*T1^4 - 54*T1^5 + 39*T1^6 - 18*T1^7 + 
      3*T1^8 - 18*T2 + 90*T1*T2 - 122*T1^2*T2 + 82*T1^3*T2 - 13*T1^4*T2 - 
      13*T1^5*T2 + 82*T1^6*T2 - 122*T1^7*T2 + 90*T1^8*T2 - 18*T1^9*T2 + 
      39*T2^2 - 122*T1*T2^2 - 122*T1^2*T2^2 + 496*T1^3*T2^2 - 713*T1^4*T2^2 + 
      652*T1^5*T2^2 - 713*T1^6*T2^2 + 496*T1^7*T2^2 - 122*T1^8*T2^2 - 
      122*T1^9*T2^2 + 39*T1^10*T2^2 - 54*T2^3 + 82*T1*T2^3 + 496*T1^2*T2^3 - 
      764*T1^3*T2^3 + 500*T1^4*T2^3 + 25*T1^5*T2^3 + 25*T1^6*T2^3 + 
      500*T1^7*T2^3 - 764*T1^8*T2^3 + 496*T1^9*T2^3 + 82*T1^10*T2^3 - 
      54*T1^11*T2^3 + 57*T2^4 - 13*T1*T2^4 - 713*T1^2*T2^4 + 500*T1^3*T2^4 + 
      18*T1^4*T2^4 - 296*T1^5*T2^4 - 302*T1^6*T2^4 - 296*T1^7*T2^4 + 
      18*T1^8*T2^4 + 500*T1^9*T2^4 - 713*T1^10*T2^4 - 13*T1^11*T2^4 + 
      57*T1^12*T2^4 - 54*T2^5 - 13*T1*T2^5 + 652*T1^2*T2^5 + 25*T1^3*T2^5 - 
      296*T1^4*T2^5 + 174*T1^5*T2^5 + 499*T1^6*T2^5 + 499*T1^7*T2^5 + 
      174*T1^8*T2^5 - 296*T1^9*T2^5 + 25*T1^10*T2^5 + 652*T1^11*T2^5 - 
      13*T1^12*T2^5 - 54*T1^13*T2^5 + 39*T2^6 + 82*T1*T2^6 - 713*T1^2*T2^6 + 
      25*T1^3*T2^6 - 302*T1^4*T2^6 + 499*T1^5*T2^6 - 877*T1^6*T2^6 - 
      245*T1^7*T2^6 - 877*T1^8*T2^6 + 499*T1^9*T2^6 - 302*T1^10*T2^6 + 
      25*T1^11*T2^6 - 713*T1^12*T2^6 + 82*T1^13*T2^6 + 39*T1^14*T2^6 - 
      18*T2^7 - 122*T1*T2^7 + 496*T1^2*T2^7 + 500*T1^3*T2^7 - 296*T1^4*T2^7 + 
      499*T1^5*T2^7 - 245*T1^6*T2^7 + 840*T1^7*T2^7 + 840*T1^8*T2^7 - 
      245*T1^9*T2^7 + 499*T1^10*T2^7 - 296*T1^11*T2^7 + 500*T1^12*T2^7 + 
      496*T1^13*T2^7 - 122*T1^14*T2^7 - 18*T1^15*T2^7 + 3*T2^8 + 90*T1*T2^8 - 
      122*T1^2*T2^8 - 764*T1^3*T2^8 + 18*T1^4*T2^8 + 174*T1^5*T2^8 - 
      877*T1^6*T2^8 + 840*T1^7*T2^8 - 2244*T1^8*T2^8 + 840*T1^9*T2^8 - 
      877*T1^10*T2^8 + 174*T1^11*T2^8 + 18*T1^12*T2^8 - 764*T1^13*T2^8 - 
      122*T1^14*T2^8 + 90*T1^15*T2^8 + 3*T1^16*T2^8 - 18*T1*T2^9 - 
      122*T1^2*T2^9 + 496*T1^3*T2^9 + 500*T1^4*T2^9 - 296*T1^5*T2^9 + 
      499*T1^6*T2^9 - 245*T1^7*T2^9 + 840*T1^8*T2^9 + 840*T1^9*T2^9 - 
      245*T1^10*T2^9 + 499*T1^11*T2^9 - 296*T1^12*T2^9 + 500*T1^13*T2^9 + 
      496*T1^14*T2^9 - 122*T1^15*T2^9 - 18*T1^16*T2^9 + 39*T1^2*T2^10 + 
      82*T1^3*T2^10 - 713*T1^4*T2^10 + 25*T1^5*T2^10 - 302*T1^6*T2^10 + 
      499*T1^7*T2^10 - 877*T1^8*T2^10 - 245*T1^9*T2^10 - 877*T1^10*T2^10 + 
      499*T1^11*T2^10 - 302*T1^12*T2^10 + 25*T1^13*T2^10 - 713*T1^14*T2^10 + 
      82*T1^15*T2^10 + 39*T1^16*T2^10 - 54*T1^3*T2^11 - 13*T1^4*T2^11 + 
      652*T1^5*T2^11 + 25*T1^6*T2^11 - 296*T1^7*T2^11 + 174*T1^8*T2^11 + 
      499*T1^9*T2^11 + 499*T1^10*T2^11 + 174*T1^11*T2^11 - 296*T1^12*T2^11 + 
      25*T1^13*T2^11 + 652*T1^14*T2^11 - 13*T1^15*T2^11 - 54*T1^16*T2^11 + 
      57*T1^4*T2^12 - 13*T1^5*T2^12 - 713*T1^6*T2^12 + 500*T1^7*T2^12 + 
      18*T1^8*T2^12 - 296*T1^9*T2^12 - 302*T1^10*T2^12 - 296*T1^11*T2^12 + 
      18*T1^12*T2^12 + 500*T1^13*T2^12 - 713*T1^14*T2^12 - 13*T1^15*T2^12 + 
      57*T1^16*T2^12 - 54*T1^5*T2^13 + 82*T1^6*T2^13 + 496*T1^7*T2^13 - 
      764*T1^8*T2^13 + 500*T1^9*T2^13 + 25*T1^10*T2^13 + 25*T1^11*T2^13 + 
      500*T1^12*T2^13 - 764*T1^13*T2^13 + 496*T1^14*T2^13 + 82*T1^15*T2^13 - 
      54*T1^16*T2^13 + 39*T1^6*T2^14 - 122*T1^7*T2^14 - 122*T1^8*T2^14 + 
      496*T1^9*T2^14 - 713*T1^10*T2^14 + 652*T1^11*T2^14 - 713*T1^12*T2^14 + 
      496*T1^13*T2^14 - 122*T1^14*T2^14 - 122*T1^15*T2^14 + 39*T1^16*T2^14 - 
      18*T1^7*T2^15 + 90*T1^8*T2^15 - 122*T1^9*T2^15 + 82*T1^10*T2^15 - 
      13*T1^11*T2^15 - 13*T1^12*T2^15 + 82*T1^13*T2^15 - 122*T1^14*T2^15 + 
      90*T1^15*T2^15 - 18*T1^16*T2^15 + 3*T1^8*T2^16 - 18*T1^9*T2^16 + 
      39*T1^10*T2^16 - 54*T1^11*T2^16 + 57*T1^12*T2^16 - 54*T1^13*T2^16 + 
      39*T1^14*T2^16 - 18*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8))}, 
 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 + 24*T1*T2 - 56*T1^2*T2 + 56*T1^3*T2 - 24*T1^4*T2 - 
      24*T1^5*T2 + 56*T1^6*T2 - 56*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 
      22*T2^2 - 56*T1*T2^2 + 143*T1^2*T2^2 - 147*T1^3*T2^2 + 150*T1^4*T2^2 - 
      145*T1^5*T2^2 + 150*T1^6*T2^2 - 147*T1^7*T2^2 + 143*T1^8*T2^2 - 
      56*T1^9*T2^2 + 22*T1^10*T2^2 - 36*T2^3 + 56*T1*T2^3 - 147*T1^2*T2^3 + 
      10*T1^3*T2^3 - 6*T1^4*T2^3 - 7*T1^5*T2^3 - 7*T1^6*T2^3 - 6*T1^7*T2^3 + 
      10*T1^8*T2^3 - 147*T1^9*T2^3 + 56*T1^10*T2^3 - 36*T1^11*T2^3 + 
      42*T2^4 - 24*T1*T2^4 + 150*T1^2*T2^4 - 6*T1^3*T2^4 + 434*T1^4*T2^4 - 
      701*T1^5*T2^4 + 846*T1^6*T2^4 - 701*T1^7*T2^4 + 434*T1^8*T2^4 - 
      6*T1^9*T2^4 + 150*T1^10*T2^4 - 24*T1^11*T2^4 + 42*T1^12*T2^4 - 
      36*T2^5 - 24*T1*T2^5 - 145*T1^2*T2^5 - 7*T1^3*T2^5 - 701*T1^4*T2^5 + 
      580*T1^5*T2^5 - 275*T1^6*T2^5 - 275*T1^7*T2^5 + 580*T1^8*T2^5 - 
      701*T1^9*T2^5 - 7*T1^10*T2^5 - 145*T1^11*T2^5 - 24*T1^12*T2^5 - 
      36*T1^13*T2^5 + 22*T2^6 + 56*T1*T2^6 + 150*T1^2*T2^6 - 7*T1^3*T2^6 + 
      846*T1^4*T2^6 - 275*T1^5*T2^6 + 89*T1^6*T2^6 + 121*T1^7*T2^6 + 
      89*T1^8*T2^6 - 275*T1^9*T2^6 + 846*T1^10*T2^6 - 7*T1^11*T2^6 + 
      150*T1^12*T2^6 + 56*T1^13*T2^6 + 22*T1^14*T2^6 - 8*T2^7 - 56*T1*T2^7 - 
      147*T1^2*T2^7 - 6*T1^3*T2^7 - 701*T1^4*T2^7 - 275*T1^5*T2^7 + 
      121*T1^6*T2^7 - 140*T1^7*T2^7 - 140*T1^8*T2^7 + 121*T1^9*T2^7 - 
      275*T1^10*T2^7 - 701*T1^11*T2^7 - 6*T1^12*T2^7 - 147*T1^13*T2^7 - 
      56*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 24*T1*T2^8 + 143*T1^2*T2^8 + 
      10*T1^3*T2^8 + 434*T1^4*T2^8 + 580*T1^5*T2^8 + 89*T1^6*T2^8 - 
      140*T1^7*T2^8 + 348*T1^8*T2^8 - 140*T1^9*T2^8 + 89*T1^10*T2^8 + 
      580*T1^11*T2^8 + 434*T1^12*T2^8 + 10*T1^13*T2^8 + 143*T1^14*T2^8 + 
      24*T1^15*T2^8 + 2*T1^16*T2^8 - 8*T1*T2^9 - 56*T1^2*T2^9 - 
      147*T1^3*T2^9 - 6*T1^4*T2^9 - 701*T1^5*T2^9 - 275*T1^6*T2^9 + 
      121*T1^7*T2^9 - 140*T1^8*T2^9 - 140*T1^9*T2^9 + 121*T1^10*T2^9 - 
      275*T1^11*T2^9 - 701*T1^12*T2^9 - 6*T1^13*T2^9 - 147*T1^14*T2^9 - 
      56*T1^15*T2^9 - 8*T1^16*T2^9 + 22*T1^2*T2^10 + 56*T1^3*T2^10 + 
      150*T1^4*T2^10 - 7*T1^5*T2^10 + 846*T1^6*T2^10 - 275*T1^7*T2^10 + 
      89*T1^8*T2^10 + 121*T1^9*T2^10 + 89*T1^10*T2^10 - 275*T1^11*T2^10 + 
      846*T1^12*T2^10 - 7*T1^13*T2^10 + 150*T1^14*T2^10 + 56*T1^15*T2^10 + 
      22*T1^16*T2^10 - 36*T1^3*T2^11 - 24*T1^4*T2^11 - 145*T1^5*T2^11 - 
      7*T1^6*T2^11 - 701*T1^7*T2^11 + 580*T1^8*T2^11 - 275*T1^9*T2^11 - 
      275*T1^10*T2^11 + 580*T1^11*T2^11 - 701*T1^12*T2^11 - 7*T1^13*T2^11 - 
      145*T1^14*T2^11 - 24*T1^15*T2^11 - 36*T1^16*T2^11 + 42*T1^4*T2^12 - 
      24*T1^5*T2^12 + 150*T1^6*T2^12 - 6*T1^7*T2^12 + 434*T1^8*T2^12 - 
      701*T1^9*T2^12 + 846*T1^10*T2^12 - 701*T1^11*T2^12 + 434*T1^12*T2^12 - 
      6*T1^13*T2^12 + 150*T1^14*T2^12 - 24*T1^15*T2^12 + 42*T1^16*T2^12 - 
      36*T1^5*T2^13 + 56*T1^6*T2^13 - 147*T1^7*T2^13 + 10*T1^8*T2^13 - 
      6*T1^9*T2^13 - 7*T1^10*T2^13 - 7*T1^11*T2^13 - 6*T1^12*T2^13 + 
      10*T1^13*T2^13 - 147*T1^14*T2^13 + 56*T1^15*T2^13 - 36*T1^16*T2^13 + 
      22*T1^6*T2^14 - 56*T1^7*T2^14 + 143*T1^8*T2^14 - 147*T1^9*T2^14 + 
      150*T1^10*T2^14 - 145*T1^11*T2^14 + 150*T1^12*T2^14 - 147*T1^13*T2^14 + 
      143*T1^14*T2^14 - 56*T1^15*T2^14 + 22*T1^16*T2^14 - 8*T1^7*T2^15 + 
      24*T1^8*T2^15 - 56*T1^9*T2^15 + 56*T1^10*T2^15 - 24*T1^11*T2^15 - 
      24*T1^12*T2^15 + 56*T1^13*T2^15 - 56*T1^14*T2^15 + 24*T1^15*T2^15 - 
      8*T1^16*T2^15 + 2*T1^8*T2^16 - 8*T1^9*T2^16 + 22*T1^10*T2^16 - 
      36*T1^11*T2^16 + 42*T1^12*T2^16 - 36*T1^13*T2^16 + 22*T1^14*T2^16 - 
      8*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 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 + 24*T1*T2 - 48*T1^2*T2 + 40*T1^3*T2 - 16*T1^4*T2 - 
      16*T1^5*T2 + 40*T1^6*T2 - 48*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 
      20*T2^2 - 48*T1*T2^2 + 100*T1^2*T2^2 - 76*T1^3*T2^2 + 82*T1^4*T2^2 - 
      80*T1^5*T2^2 + 82*T1^6*T2^2 - 76*T1^7*T2^2 + 100*T1^8*T2^2 - 
      48*T1^9*T2^2 + 20*T1^10*T2^2 - 30*T2^3 + 40*T1*T2^3 - 76*T1^2*T2^3 - 
      48*T1^3*T2^3 + 4*T1^4*T2^3 - 8*T1^5*T2^3 - 8*T1^6*T2^3 + 4*T1^7*T2^3 - 
      48*T1^8*T2^3 - 76*T1^9*T2^3 + 40*T1^10*T2^3 - 30*T1^11*T2^3 + 34*T2^4 - 
      16*T1*T2^4 + 82*T1^2*T2^4 + 4*T1^3*T2^4 + 352*T1^4*T2^4 - 
      456*T1^5*T2^4 + 536*T1^6*T2^4 - 456*T1^7*T2^4 + 352*T1^8*T2^4 + 
      4*T1^9*T2^4 + 82*T1^10*T2^4 - 16*T1^11*T2^4 + 34*T1^12*T2^4 - 30*T2^5 - 
      16*T1*T2^5 - 80*T1^2*T2^5 - 8*T1^3*T2^5 - 456*T1^4*T2^5 + 
      242*T1^5*T2^5 - 128*T1^6*T2^5 - 128*T1^7*T2^5 + 242*T1^8*T2^5 - 
      456*T1^9*T2^5 - 8*T1^10*T2^5 - 80*T1^11*T2^5 - 16*T1^12*T2^5 - 
      30*T1^13*T2^5 + 20*T2^6 + 40*T1*T2^6 + 82*T1^2*T2^6 - 8*T1^3*T2^6 + 
      536*T1^4*T2^6 - 128*T1^5*T2^6 + 217*T1^6*T2^6 - 129*T1^7*T2^6 + 
      217*T1^8*T2^6 - 128*T1^9*T2^6 + 536*T1^10*T2^6 - 8*T1^11*T2^6 + 
      82*T1^12*T2^6 + 40*T1^13*T2^6 + 20*T1^14*T2^6 - 8*T2^7 - 48*T1*T2^7 - 
      76*T1^2*T2^7 + 4*T1^3*T2^7 - 456*T1^4*T2^7 - 128*T1^5*T2^7 - 
      129*T1^6*T2^7 - 20*T1^7*T2^7 - 20*T1^8*T2^7 - 129*T1^9*T2^7 - 
      128*T1^10*T2^7 - 456*T1^11*T2^7 + 4*T1^12*T2^7 - 76*T1^13*T2^7 - 
      48*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 24*T1*T2^8 + 100*T1^2*T2^8 - 
      48*T1^3*T2^8 + 352*T1^4*T2^8 + 242*T1^5*T2^8 + 217*T1^6*T2^8 - 
      20*T1^7*T2^8 + 108*T1^8*T2^8 - 20*T1^9*T2^8 + 217*T1^10*T2^8 + 
      242*T1^11*T2^8 + 352*T1^12*T2^8 - 48*T1^13*T2^8 + 100*T1^14*T2^8 + 
      24*T1^15*T2^8 + 2*T1^16*T2^8 - 8*T1*T2^9 - 48*T1^2*T2^9 - 
      76*T1^3*T2^9 + 4*T1^4*T2^9 - 456*T1^5*T2^9 - 128*T1^6*T2^9 - 
      129*T1^7*T2^9 - 20*T1^8*T2^9 - 20*T1^9*T2^9 - 129*T1^10*T2^9 - 
      128*T1^11*T2^9 - 456*T1^12*T2^9 + 4*T1^13*T2^9 - 76*T1^14*T2^9 - 
      48*T1^15*T2^9 - 8*T1^16*T2^9 + 20*T1^2*T2^10 + 40*T1^3*T2^10 + 
      82*T1^4*T2^10 - 8*T1^5*T2^10 + 536*T1^6*T2^10 - 128*T1^7*T2^10 + 
      217*T1^8*T2^10 - 129*T1^9*T2^10 + 217*T1^10*T2^10 - 128*T1^11*T2^10 + 
      536*T1^12*T2^10 - 8*T1^13*T2^10 + 82*T1^14*T2^10 + 40*T1^15*T2^10 + 
      20*T1^16*T2^10 - 30*T1^3*T2^11 - 16*T1^4*T2^11 - 80*T1^5*T2^11 - 
      8*T1^6*T2^11 - 456*T1^7*T2^11 + 242*T1^8*T2^11 - 128*T1^9*T2^11 - 
      128*T1^10*T2^11 + 242*T1^11*T2^11 - 456*T1^12*T2^11 - 8*T1^13*T2^11 - 
      80*T1^14*T2^11 - 16*T1^15*T2^11 - 30*T1^16*T2^11 + 34*T1^4*T2^12 - 
      16*T1^5*T2^12 + 82*T1^6*T2^12 + 4*T1^7*T2^12 + 352*T1^8*T2^12 - 
      456*T1^9*T2^12 + 536*T1^10*T2^12 - 456*T1^11*T2^12 + 352*T1^12*T2^12 + 
      4*T1^13*T2^12 + 82*T1^14*T2^12 - 16*T1^15*T2^12 + 34*T1^16*T2^12 - 
      30*T1^5*T2^13 + 40*T1^6*T2^13 - 76*T1^7*T2^13 - 48*T1^8*T2^13 + 
      4*T1^9*T2^13 - 8*T1^10*T2^13 - 8*T1^11*T2^13 + 4*T1^12*T2^13 - 
      48*T1^13*T2^13 - 76*T1^14*T2^13 + 40*T1^15*T2^13 - 30*T1^16*T2^13 + 
      20*T1^6*T2^14 - 48*T1^7*T2^14 + 100*T1^8*T2^14 - 76*T1^9*T2^14 + 
      82*T1^10*T2^14 - 80*T1^11*T2^14 + 82*T1^12*T2^14 - 76*T1^13*T2^14 + 
      100*T1^14*T2^14 - 48*T1^15*T2^14 + 20*T1^16*T2^14 - 8*T1^7*T2^15 + 
      24*T1^8*T2^15 - 48*T1^9*T2^15 + 40*T1^10*T2^15 - 16*T1^11*T2^15 - 
      16*T1^12*T2^15 + 40*T1^13*T2^15 - 48*T1^14*T2^15 + 24*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)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 685] -> 
  {(2 - 8*T + 18*T^2 - 23*T^3 + 18*T^4 - 8*T^5 + 2*T^6)/T^3, 
   -((9 - 36*T1 + 81*T1^2 - 103*T1^3 + 81*T1^4 - 36*T1^5 + 9*T1^6 - 36*T2 + 
      108*T1*T2 - 180*T1^2*T2 + 88*T1^3*T2 + 88*T1^4*T2 - 180*T1^5*T2 + 
      108*T1^6*T2 - 36*T1^7*T2 + 81*T2^2 - 180*T1*T2^2 + 306*T1^2*T2^2 - 
      135*T1^3*T2^2 + 46*T1^4*T2^2 - 135*T1^5*T2^2 + 306*T1^6*T2^2 - 
      180*T1^7*T2^2 + 81*T1^8*T2^2 - 103*T2^3 + 88*T1*T2^3 - 135*T1^2*T2^3 - 
      278*T1^3*T2^3 + 137*T1^4*T2^3 + 137*T1^5*T2^3 - 278*T1^6*T2^3 - 
      135*T1^7*T2^3 + 88*T1^8*T2^3 - 103*T1^9*T2^3 + 81*T2^4 + 88*T1*T2^4 + 
      46*T1^2*T2^4 + 137*T1^3*T2^4 + 901*T1^4*T2^4 - 1271*T1^5*T2^4 + 
      901*T1^6*T2^4 + 137*T1^7*T2^4 + 46*T1^8*T2^4 + 88*T1^9*T2^4 + 
      81*T1^10*T2^4 - 36*T2^5 - 180*T1*T2^5 - 135*T1^2*T2^5 + 137*T1^3*T2^5 - 
      1271*T1^4*T2^5 + 532*T1^5*T2^5 + 532*T1^6*T2^5 - 1271*T1^7*T2^5 + 
      137*T1^8*T2^5 - 135*T1^9*T2^5 - 180*T1^10*T2^5 - 36*T1^11*T2^5 + 
      9*T2^6 + 108*T1*T2^6 + 306*T1^2*T2^6 - 278*T1^3*T2^6 + 901*T1^4*T2^6 + 
      532*T1^5*T2^6 - 960*T1^6*T2^6 + 532*T1^7*T2^6 + 901*T1^8*T2^6 - 
      278*T1^9*T2^6 + 306*T1^10*T2^6 + 108*T1^11*T2^6 + 9*T1^12*T2^6 - 
      36*T1*T2^7 - 180*T1^2*T2^7 - 135*T1^3*T2^7 + 137*T1^4*T2^7 - 
      1271*T1^5*T2^7 + 532*T1^6*T2^7 + 532*T1^7*T2^7 - 1271*T1^8*T2^7 + 
      137*T1^9*T2^7 - 135*T1^10*T2^7 - 180*T1^11*T2^7 - 36*T1^12*T2^7 + 
      81*T1^2*T2^8 + 88*T1^3*T2^8 + 46*T1^4*T2^8 + 137*T1^5*T2^8 + 
      901*T1^6*T2^8 - 1271*T1^7*T2^8 + 901*T1^8*T2^8 + 137*T1^9*T2^8 + 
      46*T1^10*T2^8 + 88*T1^11*T2^8 + 81*T1^12*T2^8 - 103*T1^3*T2^9 + 
      88*T1^4*T2^9 - 135*T1^5*T2^9 - 278*T1^6*T2^9 + 137*T1^7*T2^9 + 
      137*T1^8*T2^9 - 278*T1^9*T2^9 - 135*T1^10*T2^9 + 88*T1^11*T2^9 - 
      103*T1^12*T2^9 + 81*T1^4*T2^10 - 180*T1^5*T2^10 + 306*T1^6*T2^10 - 
      135*T1^7*T2^10 + 46*T1^8*T2^10 - 135*T1^9*T2^10 + 306*T1^10*T2^10 - 
      180*T1^11*T2^10 + 81*T1^12*T2^10 - 36*T1^5*T2^11 + 108*T1^6*T2^11 - 
      180*T1^7*T2^11 + 88*T1^8*T2^11 + 88*T1^9*T2^11 - 180*T1^10*T2^11 + 
      108*T1^11*T2^11 - 36*T1^12*T2^11 + 9*T1^6*T2^12 - 36*T1^7*T2^12 + 
      81*T1^8*T2^12 - 103*T1^9*T2^12 + 81*T1^10*T2^12 - 36*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   (2 - 10*T1 + 26*T1^2 - 38*T1^3 + 42*T1^4 - 38*T1^5 + 26*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 80*T1^2*T2 + 60*T1^3*T2 - 20*T1^4*T2 - 
     20*T1^5*T2 + 60*T1^6*T2 - 80*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     26*T2^2 - 80*T1*T2^2 + 109*T1^2*T2^2 + 45*T1^3*T2^2 - 105*T1^4*T2^2 + 
     109*T1^5*T2^2 - 105*T1^6*T2^2 + 45*T1^7*T2^2 + 109*T1^8*T2^2 - 
     80*T1^9*T2^2 + 26*T1^10*T2^2 - 38*T2^3 + 60*T1*T2^3 + 45*T1^2*T2^3 - 
     400*T1^3*T2^3 + 239*T1^4*T2^3 - 59*T1^5*T2^3 - 59*T1^6*T2^3 + 
     239*T1^7*T2^3 - 400*T1^8*T2^3 + 45*T1^9*T2^3 + 60*T1^10*T2^3 - 
     38*T1^11*T2^3 + 42*T2^4 - 20*T1*T2^4 - 105*T1^2*T2^4 + 239*T1^3*T2^4 + 
     652*T1^4*T2^4 - 965*T1^5*T2^4 + 986*T1^6*T2^4 - 965*T1^7*T2^4 + 
     652*T1^8*T2^4 + 239*T1^9*T2^4 - 105*T1^10*T2^4 - 20*T1^11*T2^4 + 
     42*T1^12*T2^4 - 38*T2^5 - 20*T1*T2^5 + 109*T1^2*T2^5 - 59*T1^3*T2^5 - 
     965*T1^4*T2^5 + 512*T1^5*T2^5 - 104*T1^6*T2^5 - 104*T1^7*T2^5 + 
     512*T1^8*T2^5 - 965*T1^9*T2^5 - 59*T1^10*T2^5 + 109*T1^11*T2^5 - 
     20*T1^12*T2^5 - 38*T1^13*T2^5 + 26*T2^6 + 60*T1*T2^6 - 105*T1^2*T2^6 - 
     59*T1^3*T2^6 + 986*T1^4*T2^6 - 104*T1^5*T2^6 + 94*T1^6*T2^6 - 
     242*T1^7*T2^6 + 94*T1^8*T2^6 - 104*T1^9*T2^6 + 986*T1^10*T2^6 - 
     59*T1^11*T2^6 - 105*T1^12*T2^6 + 60*T1^13*T2^6 + 26*T1^14*T2^6 - 
     10*T2^7 - 80*T1*T2^7 + 45*T1^2*T2^7 + 239*T1^3*T2^7 - 965*T1^4*T2^7 - 
     104*T1^5*T2^7 - 242*T1^6*T2^7 + 196*T1^7*T2^7 + 196*T1^8*T2^7 - 
     242*T1^9*T2^7 - 104*T1^10*T2^7 - 965*T1^11*T2^7 + 239*T1^12*T2^7 + 
     45*T1^13*T2^7 - 80*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 + 
     109*T1^2*T2^8 - 400*T1^3*T2^8 + 652*T1^4*T2^8 + 512*T1^5*T2^8 + 
     94*T1^6*T2^8 + 196*T1^7*T2^8 - 468*T1^8*T2^8 + 196*T1^9*T2^8 + 
     94*T1^10*T2^8 + 512*T1^11*T2^8 + 652*T1^12*T2^8 - 400*T1^13*T2^8 + 
     109*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     80*T1^2*T2^9 + 45*T1^3*T2^9 + 239*T1^4*T2^9 - 965*T1^5*T2^9 - 
     104*T1^6*T2^9 - 242*T1^7*T2^9 + 196*T1^8*T2^9 + 196*T1^9*T2^9 - 
     242*T1^10*T2^9 - 104*T1^11*T2^9 - 965*T1^12*T2^9 + 239*T1^13*T2^9 + 
     45*T1^14*T2^9 - 80*T1^15*T2^9 - 10*T1^16*T2^9 + 26*T1^2*T2^10 + 
     60*T1^3*T2^10 - 105*T1^4*T2^10 - 59*T1^5*T2^10 + 986*T1^6*T2^10 - 
     104*T1^7*T2^10 + 94*T1^8*T2^10 - 242*T1^9*T2^10 + 94*T1^10*T2^10 - 
     104*T1^11*T2^10 + 986*T1^12*T2^10 - 59*T1^13*T2^10 - 105*T1^14*T2^10 + 
     60*T1^15*T2^10 + 26*T1^16*T2^10 - 38*T1^3*T2^11 - 20*T1^4*T2^11 + 
     109*T1^5*T2^11 - 59*T1^6*T2^11 - 965*T1^7*T2^11 + 512*T1^8*T2^11 - 
     104*T1^9*T2^11 - 104*T1^10*T2^11 + 512*T1^11*T2^11 - 965*T1^12*T2^11 - 
     59*T1^13*T2^11 + 109*T1^14*T2^11 - 20*T1^15*T2^11 - 38*T1^16*T2^11 + 
     42*T1^4*T2^12 - 20*T1^5*T2^12 - 105*T1^6*T2^12 + 239*T1^7*T2^12 + 
     652*T1^8*T2^12 - 965*T1^9*T2^12 + 986*T1^10*T2^12 - 965*T1^11*T2^12 + 
     652*T1^12*T2^12 + 239*T1^13*T2^12 - 105*T1^14*T2^12 - 20*T1^15*T2^12 + 
     42*T1^16*T2^12 - 38*T1^5*T2^13 + 60*T1^6*T2^13 + 45*T1^7*T2^13 - 
     400*T1^8*T2^13 + 239*T1^9*T2^13 - 59*T1^10*T2^13 - 59*T1^11*T2^13 + 
     239*T1^12*T2^13 - 400*T1^13*T2^13 + 45*T1^14*T2^13 + 60*T1^15*T2^13 - 
     38*T1^16*T2^13 + 26*T1^6*T2^14 - 80*T1^7*T2^14 + 109*T1^8*T2^14 + 
     45*T1^9*T2^14 - 105*T1^10*T2^14 + 109*T1^11*T2^14 - 105*T1^12*T2^14 + 
     45*T1^13*T2^14 + 109*T1^14*T2^14 - 80*T1^15*T2^14 + 26*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 80*T1^9*T2^15 + 60*T1^10*T2^15 - 
     20*T1^11*T2^15 - 20*T1^12*T2^15 + 60*T1^13*T2^15 - 80*T1^14*T2^15 + 
     40*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)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 687] -> 
  {(2 - 10*T + 25*T^2 - 33*T^3 + 25*T^4 - 10*T^5 + 2*T^6)/T^3, 
   -((9 - 45*T1 + 112*T1^2 - 147*T1^3 + 112*T1^4 - 45*T1^5 + 9*T1^6 - 45*T2 + 
      180*T1*T2 - 335*T1^2*T2 + 175*T1^3*T2 + 175*T1^4*T2 - 335*T1^5*T2 + 
      180*T1^6*T2 - 45*T1^7*T2 + 112*T2^2 - 335*T1*T2^2 + 351*T1^2*T2^2 + 
      518*T1^3*T2^2 - 1049*T1^4*T2^2 + 518*T1^5*T2^2 + 351*T1^6*T2^2 - 
      335*T1^7*T2^2 + 112*T1^8*T2^2 - 147*T2^3 + 175*T1*T2^3 + 
      518*T1^2*T2^3 - 2142*T1^3*T2^3 + 1235*T1^4*T2^3 + 1235*T1^5*T2^3 - 
      2142*T1^6*T2^3 + 518*T1^7*T2^3 + 175*T1^8*T2^3 - 147*T1^9*T2^3 + 
      112*T2^4 + 175*T1*T2^4 - 1049*T1^2*T2^4 + 1235*T1^3*T2^4 + 
      3195*T1^4*T2^4 - 5857*T1^5*T2^4 + 3195*T1^6*T2^4 + 1235*T1^7*T2^4 - 
      1049*T1^8*T2^4 + 175*T1^9*T2^4 + 112*T1^10*T2^4 - 45*T2^5 - 
      335*T1*T2^5 + 518*T1^2*T2^5 + 1235*T1^3*T2^5 - 5857*T1^4*T2^5 + 
      3372*T1^5*T2^5 + 3372*T1^6*T2^5 - 5857*T1^7*T2^5 + 1235*T1^8*T2^5 + 
      518*T1^9*T2^5 - 335*T1^10*T2^5 - 45*T1^11*T2^5 + 9*T2^6 + 180*T1*T2^6 + 
      351*T1^2*T2^6 - 2142*T1^3*T2^6 + 3195*T1^4*T2^6 + 3372*T1^5*T2^6 - 
      7392*T1^6*T2^6 + 3372*T1^7*T2^6 + 3195*T1^8*T2^6 - 2142*T1^9*T2^6 + 
      351*T1^10*T2^6 + 180*T1^11*T2^6 + 9*T1^12*T2^6 - 45*T1*T2^7 - 
      335*T1^2*T2^7 + 518*T1^3*T2^7 + 1235*T1^4*T2^7 - 5857*T1^5*T2^7 + 
      3372*T1^6*T2^7 + 3372*T1^7*T2^7 - 5857*T1^8*T2^7 + 1235*T1^9*T2^7 + 
      518*T1^10*T2^7 - 335*T1^11*T2^7 - 45*T1^12*T2^7 + 112*T1^2*T2^8 + 
      175*T1^3*T2^8 - 1049*T1^4*T2^8 + 1235*T1^5*T2^8 + 3195*T1^6*T2^8 - 
      5857*T1^7*T2^8 + 3195*T1^8*T2^8 + 1235*T1^9*T2^8 - 1049*T1^10*T2^8 + 
      175*T1^11*T2^8 + 112*T1^12*T2^8 - 147*T1^3*T2^9 + 175*T1^4*T2^9 + 
      518*T1^5*T2^9 - 2142*T1^6*T2^9 + 1235*T1^7*T2^9 + 1235*T1^8*T2^9 - 
      2142*T1^9*T2^9 + 518*T1^10*T2^9 + 175*T1^11*T2^9 - 147*T1^12*T2^9 + 
      112*T1^4*T2^10 - 335*T1^5*T2^10 + 351*T1^6*T2^10 + 518*T1^7*T2^10 - 
      1049*T1^8*T2^10 + 518*T1^9*T2^10 + 351*T1^10*T2^10 - 335*T1^11*T2^10 + 
      112*T1^12*T2^10 - 45*T1^5*T2^11 + 180*T1^6*T2^11 - 335*T1^7*T2^11 + 
      175*T1^8*T2^11 + 175*T1^9*T2^11 - 335*T1^10*T2^11 + 180*T1^11*T2^11 - 
      45*T1^12*T2^11 + 9*T1^6*T2^12 - 45*T1^7*T2^12 + 112*T1^8*T2^12 - 
      147*T1^9*T2^12 + 112*T1^10*T2^12 - 45*T1^11*T2^12 + 9*T1^12*T2^12)/
     (T1^6*T2^6))}, 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, (5 - 5*T1 - 5*T1^2 + 25*T1^3 - 45*T1^4 + 55*T1^5 - 45*T1^6 + 
     25*T1^7 - 5*T1^8 - 5*T1^9 + 5*T1^10 - 5*T2 + 10*T1^2*T2 - 20*T1^3*T2 + 
     20*T1^4*T2 - 10*T1^5*T2 - 10*T1^6*T2 + 20*T1^7*T2 - 20*T1^8*T2 + 
     10*T1^9*T2 - 5*T1^11*T2 - 5*T2^2 + 10*T1*T2^2 - 4*T1^2*T2^2 - 
     25*T1^3*T2^2 + 70*T1^4*T2^2 - 113*T1^5*T2^2 + 130*T1^6*T2^2 - 
     113*T1^7*T2^2 + 70*T1^8*T2^2 - 25*T1^9*T2^2 - 4*T1^10*T2^2 + 
     10*T1^11*T2^2 - 5*T1^12*T2^2 + 25*T2^3 - 20*T1*T2^3 - 25*T1^2*T2^3 + 
     122*T1^3*T2^3 - 191*T1^4*T2^3 + 186*T1^5*T2^3 - 72*T1^6*T2^3 - 
     72*T1^7*T2^3 + 186*T1^8*T2^3 - 191*T1^9*T2^3 + 122*T1^10*T2^3 - 
     25*T1^11*T2^3 - 20*T1^12*T2^3 + 25*T1^13*T2^3 - 45*T2^4 + 20*T1*T2^4 + 
     70*T1^2*T2^4 - 191*T1^3*T2^4 + 206*T1^4*T2^4 - 137*T1^5*T2^4 - 
     2*T1^6*T2^4 + 54*T1^7*T2^4 - 2*T1^8*T2^4 - 137*T1^9*T2^4 + 
     206*T1^10*T2^4 - 191*T1^11*T2^4 + 70*T1^12*T2^4 + 20*T1^13*T2^4 - 
     45*T1^14*T2^4 + 55*T2^5 - 10*T1*T2^5 - 113*T1^2*T2^5 + 186*T1^3*T2^5 - 
     137*T1^4*T2^5 + 62*T1^5*T2^5 + 33*T1^6*T2^5 - 28*T1^7*T2^5 - 
     28*T1^8*T2^5 + 33*T1^9*T2^5 + 62*T1^10*T2^5 - 137*T1^11*T2^5 + 
     186*T1^12*T2^5 - 113*T1^13*T2^5 - 10*T1^14*T2^5 + 55*T1^15*T2^5 - 
     45*T2^6 - 10*T1*T2^6 + 130*T1^2*T2^6 - 72*T1^3*T2^6 - 2*T1^4*T2^6 + 
     33*T1^5*T2^6 - 25*T1^6*T2^6 - 45*T1^7*T2^6 + 129*T1^8*T2^6 - 
     45*T1^9*T2^6 - 25*T1^10*T2^6 + 33*T1^11*T2^6 - 2*T1^12*T2^6 - 
     72*T1^13*T2^6 + 130*T1^14*T2^6 - 10*T1^15*T2^6 - 45*T1^16*T2^6 + 
     25*T2^7 + 20*T1*T2^7 - 113*T1^2*T2^7 - 72*T1^3*T2^7 + 54*T1^4*T2^7 - 
     28*T1^5*T2^7 - 45*T1^6*T2^7 + 66*T1^7*T2^7 - 98*T1^8*T2^7 - 
     98*T1^9*T2^7 + 66*T1^10*T2^7 - 45*T1^11*T2^7 - 28*T1^12*T2^7 + 
     54*T1^13*T2^7 - 72*T1^14*T2^7 - 113*T1^15*T2^7 + 20*T1^16*T2^7 + 
     25*T1^17*T2^7 - 5*T2^8 - 20*T1*T2^8 + 70*T1^2*T2^8 + 186*T1^3*T2^8 - 
     2*T1^4*T2^8 - 28*T1^5*T2^8 + 129*T1^6*T2^8 - 98*T1^7*T2^8 + 
     142*T1^8*T2^8 + 54*T1^9*T2^8 + 142*T1^10*T2^8 - 98*T1^11*T2^8 + 
     129*T1^12*T2^8 - 28*T1^13*T2^8 - 2*T1^14*T2^8 + 186*T1^15*T2^8 + 
     70*T1^16*T2^8 - 20*T1^17*T2^8 - 5*T1^18*T2^8 - 5*T2^9 + 10*T1*T2^9 - 
     25*T1^2*T2^9 - 191*T1^3*T2^9 - 137*T1^4*T2^9 + 33*T1^5*T2^9 - 
     45*T1^6*T2^9 - 98*T1^7*T2^9 + 54*T1^8*T2^9 - 176*T1^9*T2^9 - 
     176*T1^10*T2^9 + 54*T1^11*T2^9 - 98*T1^12*T2^9 - 45*T1^13*T2^9 + 
     33*T1^14*T2^9 - 137*T1^15*T2^9 - 191*T1^16*T2^9 - 25*T1^17*T2^9 + 
     10*T1^18*T2^9 - 5*T1^19*T2^9 + 5*T2^10 - 4*T1^2*T2^10 + 122*T1^3*T2^10 + 
     206*T1^4*T2^10 + 62*T1^5*T2^10 - 25*T1^6*T2^10 + 66*T1^7*T2^10 + 
     142*T1^8*T2^10 - 176*T1^9*T2^10 + 504*T1^10*T2^10 - 176*T1^11*T2^10 + 
     142*T1^12*T2^10 + 66*T1^13*T2^10 - 25*T1^14*T2^10 + 62*T1^15*T2^10 + 
     206*T1^16*T2^10 + 122*T1^17*T2^10 - 4*T1^18*T2^10 + 5*T1^20*T2^10 - 
     5*T1*T2^11 + 10*T1^2*T2^11 - 25*T1^3*T2^11 - 191*T1^4*T2^11 - 
     137*T1^5*T2^11 + 33*T1^6*T2^11 - 45*T1^7*T2^11 - 98*T1^8*T2^11 + 
     54*T1^9*T2^11 - 176*T1^10*T2^11 - 176*T1^11*T2^11 + 54*T1^12*T2^11 - 
     98*T1^13*T2^11 - 45*T1^14*T2^11 + 33*T1^15*T2^11 - 137*T1^16*T2^11 - 
     191*T1^17*T2^11 - 25*T1^18*T2^11 + 10*T1^19*T2^11 - 5*T1^20*T2^11 - 
     5*T1^2*T2^12 - 20*T1^3*T2^12 + 70*T1^4*T2^12 + 186*T1^5*T2^12 - 
     2*T1^6*T2^12 - 28*T1^7*T2^12 + 129*T1^8*T2^12 - 98*T1^9*T2^12 + 
     142*T1^10*T2^12 + 54*T1^11*T2^12 + 142*T1^12*T2^12 - 98*T1^13*T2^12 + 
     129*T1^14*T2^12 - 28*T1^15*T2^12 - 2*T1^16*T2^12 + 186*T1^17*T2^12 + 
     70*T1^18*T2^12 - 20*T1^19*T2^12 - 5*T1^20*T2^12 + 25*T1^3*T2^13 + 
     20*T1^4*T2^13 - 113*T1^5*T2^13 - 72*T1^6*T2^13 + 54*T1^7*T2^13 - 
     28*T1^8*T2^13 - 45*T1^9*T2^13 + 66*T1^10*T2^13 - 98*T1^11*T2^13 - 
     98*T1^12*T2^13 + 66*T1^13*T2^13 - 45*T1^14*T2^13 - 28*T1^15*T2^13 + 
     54*T1^16*T2^13 - 72*T1^17*T2^13 - 113*T1^18*T2^13 + 20*T1^19*T2^13 + 
     25*T1^20*T2^13 - 45*T1^4*T2^14 - 10*T1^5*T2^14 + 130*T1^6*T2^14 - 
     72*T1^7*T2^14 - 2*T1^8*T2^14 + 33*T1^9*T2^14 - 25*T1^10*T2^14 - 
     45*T1^11*T2^14 + 129*T1^12*T2^14 - 45*T1^13*T2^14 - 25*T1^14*T2^14 + 
     33*T1^15*T2^14 - 2*T1^16*T2^14 - 72*T1^17*T2^14 + 130*T1^18*T2^14 - 
     10*T1^19*T2^14 - 45*T1^20*T2^14 + 55*T1^5*T2^15 - 10*T1^6*T2^15 - 
     113*T1^7*T2^15 + 186*T1^8*T2^15 - 137*T1^9*T2^15 + 62*T1^10*T2^15 + 
     33*T1^11*T2^15 - 28*T1^12*T2^15 - 28*T1^13*T2^15 + 33*T1^14*T2^15 + 
     62*T1^15*T2^15 - 137*T1^16*T2^15 + 186*T1^17*T2^15 - 113*T1^18*T2^15 - 
     10*T1^19*T2^15 + 55*T1^20*T2^15 - 45*T1^6*T2^16 + 20*T1^7*T2^16 + 
     70*T1^8*T2^16 - 191*T1^9*T2^16 + 206*T1^10*T2^16 - 137*T1^11*T2^16 - 
     2*T1^12*T2^16 + 54*T1^13*T2^16 - 2*T1^14*T2^16 - 137*T1^15*T2^16 + 
     206*T1^16*T2^16 - 191*T1^17*T2^16 + 70*T1^18*T2^16 + 20*T1^19*T2^16 - 
     45*T1^20*T2^16 + 25*T1^7*T2^17 - 20*T1^8*T2^17 - 25*T1^9*T2^17 + 
     122*T1^10*T2^17 - 191*T1^11*T2^17 + 186*T1^12*T2^17 - 72*T1^13*T2^17 - 
     72*T1^14*T2^17 + 186*T1^15*T2^17 - 191*T1^16*T2^17 + 122*T1^17*T2^17 - 
     25*T1^18*T2^17 - 20*T1^19*T2^17 + 25*T1^20*T2^17 - 5*T1^8*T2^18 + 
     10*T1^9*T2^18 - 4*T1^10*T2^18 - 25*T1^11*T2^18 + 70*T1^12*T2^18 - 
     113*T1^13*T2^18 + 130*T1^14*T2^18 - 113*T1^15*T2^18 + 70*T1^16*T2^18 - 
     25*T1^17*T2^18 - 4*T1^18*T2^18 + 10*T1^19*T2^18 - 5*T1^20*T2^18 - 
     5*T1^9*T2^19 + 10*T1^11*T2^19 - 20*T1^12*T2^19 + 20*T1^13*T2^19 - 
     10*T1^14*T2^19 - 10*T1^15*T2^19 + 20*T1^16*T2^19 - 20*T1^17*T2^19 + 
     10*T1^18*T2^19 - 5*T1^20*T2^19 + 5*T1^10*T2^20 - 5*T1^11*T2^20 - 
     5*T1^12*T2^20 + 25*T1^13*T2^20 - 45*T1^14*T2^20 + 55*T1^15*T2^20 - 
     45*T1^16*T2^20 + 25*T1^17*T2^20 - 5*T1^18*T2^20 - 5*T1^19*T2^20 + 
     5*T1^20*T2^20)/(T1^10*T2^10)}, Knot[12, NonAlternating, 689] -> 
  {((2 - 3*T + 2*T^2)*(1 - T^2 + T^3 - T^4 + T^6))/T^4, 
   (33 - 49*T1 - T1^2 + 84*T1^3 - 117*T1^4 + 84*T1^5 - T1^6 - 49*T1^7 + 
     33*T1^8 - 49*T2 + 24*T1*T2 + 74*T1^2*T2 - 123*T1^3*T2 + 49*T1^4*T2 + 
     49*T1^5*T2 - 123*T1^6*T2 + 74*T1^7*T2 + 24*T1^8*T2 - 49*T1^9*T2 - T2^2 + 
     74*T1*T2^2 - 105*T1^2*T2^2 - 7*T1^3*T2^2 + 180*T1^4*T2^2 - 
     245*T1^5*T2^2 + 180*T1^6*T2^2 - 7*T1^7*T2^2 - 105*T1^8*T2^2 + 
     74*T1^9*T2^2 - T1^10*T2^2 + 84*T2^3 - 123*T1*T2^3 - 7*T1^2*T2^3 + 
     256*T1^3*T2^3 - 336*T1^4*T2^3 + 161*T1^5*T2^3 + 161*T1^6*T2^3 - 
     336*T1^7*T2^3 + 256*T1^8*T2^3 - 7*T1^9*T2^3 - 123*T1^10*T2^3 + 
     84*T1^11*T2^3 - 117*T2^4 + 49*T1*T2^4 + 180*T1^2*T2^4 - 336*T1^3*T2^4 + 
     109*T1^4*T2^4 + 252*T1^5*T2^4 - 469*T1^6*T2^4 + 252*T1^7*T2^4 + 
     109*T1^8*T2^4 - 336*T1^9*T2^4 + 180*T1^10*T2^4 + 49*T1^11*T2^4 - 
     117*T1^12*T2^4 + 84*T2^5 + 49*T1*T2^5 - 245*T1^2*T2^5 + 161*T1^3*T2^5 + 
     252*T1^4*T2^5 - 438*T1^5*T2^5 + 231*T1^6*T2^5 + 231*T1^7*T2^5 - 
     438*T1^8*T2^5 + 252*T1^9*T2^5 + 161*T1^10*T2^5 - 245*T1^11*T2^5 + 
     49*T1^12*T2^5 + 84*T1^13*T2^5 - T2^6 - 123*T1*T2^6 + 180*T1^2*T2^6 + 
     161*T1^3*T2^6 - 469*T1^4*T2^6 + 231*T1^5*T2^6 + 276*T1^6*T2^6 - 
     500*T1^7*T2^6 + 276*T1^8*T2^6 + 231*T1^9*T2^6 - 469*T1^10*T2^6 + 
     161*T1^11*T2^6 + 180*T1^12*T2^6 - 123*T1^13*T2^6 - T1^14*T2^6 - 
     49*T2^7 + 74*T1*T2^7 - 7*T1^2*T2^7 - 336*T1^3*T2^7 + 252*T1^4*T2^7 + 
     231*T1^5*T2^7 - 500*T1^6*T2^7 + 196*T1^7*T2^7 + 196*T1^8*T2^7 - 
     500*T1^9*T2^7 + 231*T1^10*T2^7 + 252*T1^11*T2^7 - 336*T1^12*T2^7 - 
     7*T1^13*T2^7 + 74*T1^14*T2^7 - 49*T1^15*T2^7 + 33*T2^8 + 24*T1*T2^8 - 
     105*T1^2*T2^8 + 256*T1^3*T2^8 + 109*T1^4*T2^8 - 438*T1^5*T2^8 + 
     276*T1^6*T2^8 + 196*T1^7*T2^8 - 300*T1^8*T2^8 + 196*T1^9*T2^8 + 
     276*T1^10*T2^8 - 438*T1^11*T2^8 + 109*T1^12*T2^8 + 256*T1^13*T2^8 - 
     105*T1^14*T2^8 + 24*T1^15*T2^8 + 33*T1^16*T2^8 - 49*T1*T2^9 + 
     74*T1^2*T2^9 - 7*T1^3*T2^9 - 336*T1^4*T2^9 + 252*T1^5*T2^9 + 
     231*T1^6*T2^9 - 500*T1^7*T2^9 + 196*T1^8*T2^9 + 196*T1^9*T2^9 - 
     500*T1^10*T2^9 + 231*T1^11*T2^9 + 252*T1^12*T2^9 - 336*T1^13*T2^9 - 
     7*T1^14*T2^9 + 74*T1^15*T2^9 - 49*T1^16*T2^9 - T1^2*T2^10 - 
     123*T1^3*T2^10 + 180*T1^4*T2^10 + 161*T1^5*T2^10 - 469*T1^6*T2^10 + 
     231*T1^7*T2^10 + 276*T1^8*T2^10 - 500*T1^9*T2^10 + 276*T1^10*T2^10 + 
     231*T1^11*T2^10 - 469*T1^12*T2^10 + 161*T1^13*T2^10 + 180*T1^14*T2^10 - 
     123*T1^15*T2^10 - T1^16*T2^10 + 84*T1^3*T2^11 + 49*T1^4*T2^11 - 
     245*T1^5*T2^11 + 161*T1^6*T2^11 + 252*T1^7*T2^11 - 438*T1^8*T2^11 + 
     231*T1^9*T2^11 + 231*T1^10*T2^11 - 438*T1^11*T2^11 + 252*T1^12*T2^11 + 
     161*T1^13*T2^11 - 245*T1^14*T2^11 + 49*T1^15*T2^11 + 84*T1^16*T2^11 - 
     117*T1^4*T2^12 + 49*T1^5*T2^12 + 180*T1^6*T2^12 - 336*T1^7*T2^12 + 
     109*T1^8*T2^12 + 252*T1^9*T2^12 - 469*T1^10*T2^12 + 252*T1^11*T2^12 + 
     109*T1^12*T2^12 - 336*T1^13*T2^12 + 180*T1^14*T2^12 + 49*T1^15*T2^12 - 
     117*T1^16*T2^12 + 84*T1^5*T2^13 - 123*T1^6*T2^13 - 7*T1^7*T2^13 + 
     256*T1^8*T2^13 - 336*T1^9*T2^13 + 161*T1^10*T2^13 + 161*T1^11*T2^13 - 
     336*T1^12*T2^13 + 256*T1^13*T2^13 - 7*T1^14*T2^13 - 123*T1^15*T2^13 + 
     84*T1^16*T2^13 - T1^6*T2^14 + 74*T1^7*T2^14 - 105*T1^8*T2^14 - 
     7*T1^9*T2^14 + 180*T1^10*T2^14 - 245*T1^11*T2^14 + 180*T1^12*T2^14 - 
     7*T1^13*T2^14 - 105*T1^14*T2^14 + 74*T1^15*T2^14 - T1^16*T2^14 - 
     49*T1^7*T2^15 + 24*T1^8*T2^15 + 74*T1^9*T2^15 - 123*T1^10*T2^15 + 
     49*T1^11*T2^15 + 49*T1^12*T2^15 - 123*T1^13*T2^15 + 74*T1^14*T2^15 + 
     24*T1^15*T2^15 - 49*T1^16*T2^15 + 33*T1^8*T2^16 - 49*T1^9*T2^16 - 
     T1^10*T2^16 + 84*T1^11*T2^16 - 117*T1^12*T2^16 + 84*T1^13*T2^16 - 
     T1^14*T2^16 - 49*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 690] -> 
  {(1 + 2*T - 12*T^2 + 19*T^3 - 12*T^4 + 2*T^5 + T^6)/T^3, 
   (1 + 2*T1 - 12*T1^2 + 19*T1^3 - 12*T1^4 + 2*T1^5 + T1^6 + 2*T2 - 
     14*T1*T2 + 22*T1^2*T2 - 13*T1^3*T2 - 13*T1^4*T2 + 22*T1^5*T2 - 
     14*T1^6*T2 + 2*T1^7*T2 - 12*T2^2 + 22*T1*T2^2 + 27*T1^2*T2^2 - 
     95*T1^3*T2^2 + 133*T1^4*T2^2 - 95*T1^5*T2^2 + 27*T1^6*T2^2 + 
     22*T1^7*T2^2 - 12*T1^8*T2^2 + 19*T2^3 - 13*T1*T2^3 - 95*T1^2*T2^3 + 
     142*T1^3*T2^3 - 75*T1^4*T2^3 - 75*T1^5*T2^3 + 142*T1^6*T2^3 - 
     95*T1^7*T2^3 - 13*T1^8*T2^3 + 19*T1^9*T2^3 - 12*T2^4 - 13*T1*T2^4 + 
     133*T1^2*T2^4 - 75*T1^3*T2^4 - 104*T1^4*T2^4 + 240*T1^5*T2^4 - 
     104*T1^6*T2^4 - 75*T1^7*T2^4 + 133*T1^8*T2^4 - 13*T1^9*T2^4 - 
     12*T1^10*T2^4 + 2*T2^5 + 22*T1*T2^5 - 95*T1^2*T2^5 - 75*T1^3*T2^5 + 
     240*T1^4*T2^5 - 174*T1^5*T2^5 - 174*T1^6*T2^5 + 240*T1^7*T2^5 - 
     75*T1^8*T2^5 - 95*T1^9*T2^5 + 22*T1^10*T2^5 + 2*T1^11*T2^5 + T2^6 - 
     14*T1*T2^6 + 27*T1^2*T2^6 + 142*T1^3*T2^6 - 104*T1^4*T2^6 - 
     174*T1^5*T2^6 + 432*T1^6*T2^6 - 174*T1^7*T2^6 - 104*T1^8*T2^6 + 
     142*T1^9*T2^6 + 27*T1^10*T2^6 - 14*T1^11*T2^6 + T1^12*T2^6 + 2*T1*T2^7 + 
     22*T1^2*T2^7 - 95*T1^3*T2^7 - 75*T1^4*T2^7 + 240*T1^5*T2^7 - 
     174*T1^6*T2^7 - 174*T1^7*T2^7 + 240*T1^8*T2^7 - 75*T1^9*T2^7 - 
     95*T1^10*T2^7 + 22*T1^11*T2^7 + 2*T1^12*T2^7 - 12*T1^2*T2^8 - 
     13*T1^3*T2^8 + 133*T1^4*T2^8 - 75*T1^5*T2^8 - 104*T1^6*T2^8 + 
     240*T1^7*T2^8 - 104*T1^8*T2^8 - 75*T1^9*T2^8 + 133*T1^10*T2^8 - 
     13*T1^11*T2^8 - 12*T1^12*T2^8 + 19*T1^3*T2^9 - 13*T1^4*T2^9 - 
     95*T1^5*T2^9 + 142*T1^6*T2^9 - 75*T1^7*T2^9 - 75*T1^8*T2^9 + 
     142*T1^9*T2^9 - 95*T1^10*T2^9 - 13*T1^11*T2^9 + 19*T1^12*T2^9 - 
     12*T1^4*T2^10 + 22*T1^5*T2^10 + 27*T1^6*T2^10 - 95*T1^7*T2^10 + 
     133*T1^8*T2^10 - 95*T1^9*T2^10 + 27*T1^10*T2^10 + 22*T1^11*T2^10 - 
     12*T1^12*T2^10 + 2*T1^5*T2^11 - 14*T1^6*T2^11 + 22*T1^7*T2^11 - 
     13*T1^8*T2^11 - 13*T1^9*T2^11 + 22*T1^10*T2^11 - 14*T1^11*T2^11 + 
     2*T1^12*T2^11 + T1^6*T2^12 + 2*T1^7*T2^12 - 12*T1^8*T2^12 + 
     19*T1^9*T2^12 - 12*T1^10*T2^12 + 2*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 691] -> 
  {((2 - 3*T + 2*T^2)*(1 - 2*T^2 + 3*T^3 - 2*T^4 + T^6))/T^4, 
   (33 - 49*T1 - 33*T1^2 + 196*T1^3 - 277*T1^4 + 196*T1^5 - 33*T1^6 - 
     49*T1^7 + 33*T1^8 - 49*T2 + 24*T1*T2 + 122*T1^2*T2 - 243*T1^3*T2 + 
     121*T1^4*T2 + 121*T1^5*T2 - 243*T1^6*T2 + 122*T1^7*T2 + 24*T1^8*T2 - 
     49*T1^9*T2 - 33*T2^2 + 122*T1*T2^2 - 105*T1^2*T2^2 - 204*T1^3*T2^2 + 
     679*T1^4*T2^2 - 909*T1^5*T2^2 + 679*T1^6*T2^2 - 204*T1^7*T2^2 - 
     105*T1^8*T2^2 + 122*T1^9*T2^2 - 33*T1^10*T2^2 + 196*T2^3 - 243*T1*T2^3 - 
     204*T1^2*T2^3 + 1062*T1^3*T2^3 - 1375*T1^4*T2^3 + 665*T1^5*T2^3 + 
     665*T1^6*T2^3 - 1375*T1^7*T2^3 + 1062*T1^8*T2^3 - 204*T1^9*T2^3 - 
     243*T1^10*T2^3 + 196*T1^11*T2^3 - 277*T2^4 + 121*T1*T2^4 + 
     679*T1^2*T2^4 - 1375*T1^3*T2^4 + 487*T1^4*T2^4 + 1387*T1^5*T2^4 - 
     2473*T1^6*T2^4 + 1387*T1^7*T2^4 + 487*T1^8*T2^4 - 1375*T1^9*T2^4 + 
     679*T1^10*T2^4 + 121*T1^11*T2^4 - 277*T1^12*T2^4 + 196*T2^5 + 
     121*T1*T2^5 - 909*T1^2*T2^5 + 665*T1^3*T2^5 + 1387*T1^4*T2^5 - 
     2870*T1^5*T2^5 + 1536*T1^6*T2^5 + 1536*T1^7*T2^5 - 2870*T1^8*T2^5 + 
     1387*T1^9*T2^5 + 665*T1^10*T2^5 - 909*T1^11*T2^5 + 121*T1^12*T2^5 + 
     196*T1^13*T2^5 - 33*T2^6 - 243*T1*T2^6 + 679*T1^2*T2^6 + 665*T1^3*T2^6 - 
     2473*T1^4*T2^6 + 1536*T1^5*T2^6 + 2408*T1^6*T2^6 - 4522*T1^7*T2^6 + 
     2408*T1^8*T2^6 + 1536*T1^9*T2^6 - 2473*T1^10*T2^6 + 665*T1^11*T2^6 + 
     679*T1^12*T2^6 - 243*T1^13*T2^6 - 33*T1^14*T2^6 - 49*T2^7 + 
     122*T1*T2^7 - 204*T1^2*T2^7 - 1375*T1^3*T2^7 + 1387*T1^4*T2^7 + 
     1536*T1^5*T2^7 - 4522*T1^6*T2^7 + 2308*T1^7*T2^7 + 2308*T1^8*T2^7 - 
     4522*T1^9*T2^7 + 1536*T1^10*T2^7 + 1387*T1^11*T2^7 - 1375*T1^12*T2^7 - 
     204*T1^13*T2^7 + 122*T1^14*T2^7 - 49*T1^15*T2^7 + 33*T2^8 + 24*T1*T2^8 - 
     105*T1^2*T2^8 + 1062*T1^3*T2^8 + 487*T1^4*T2^8 - 2870*T1^5*T2^8 + 
     2408*T1^6*T2^8 + 2308*T1^7*T2^8 - 4620*T1^8*T2^8 + 2308*T1^9*T2^8 + 
     2408*T1^10*T2^8 - 2870*T1^11*T2^8 + 487*T1^12*T2^8 + 1062*T1^13*T2^8 - 
     105*T1^14*T2^8 + 24*T1^15*T2^8 + 33*T1^16*T2^8 - 49*T1*T2^9 + 
     122*T1^2*T2^9 - 204*T1^3*T2^9 - 1375*T1^4*T2^9 + 1387*T1^5*T2^9 + 
     1536*T1^6*T2^9 - 4522*T1^7*T2^9 + 2308*T1^8*T2^9 + 2308*T1^9*T2^9 - 
     4522*T1^10*T2^9 + 1536*T1^11*T2^9 + 1387*T1^12*T2^9 - 1375*T1^13*T2^9 - 
     204*T1^14*T2^9 + 122*T1^15*T2^9 - 49*T1^16*T2^9 - 33*T1^2*T2^10 - 
     243*T1^3*T2^10 + 679*T1^4*T2^10 + 665*T1^5*T2^10 - 2473*T1^6*T2^10 + 
     1536*T1^7*T2^10 + 2408*T1^8*T2^10 - 4522*T1^9*T2^10 + 2408*T1^10*T2^10 + 
     1536*T1^11*T2^10 - 2473*T1^12*T2^10 + 665*T1^13*T2^10 + 
     679*T1^14*T2^10 - 243*T1^15*T2^10 - 33*T1^16*T2^10 + 196*T1^3*T2^11 + 
     121*T1^4*T2^11 - 909*T1^5*T2^11 + 665*T1^6*T2^11 + 1387*T1^7*T2^11 - 
     2870*T1^8*T2^11 + 1536*T1^9*T2^11 + 1536*T1^10*T2^11 - 
     2870*T1^11*T2^11 + 1387*T1^12*T2^11 + 665*T1^13*T2^11 - 
     909*T1^14*T2^11 + 121*T1^15*T2^11 + 196*T1^16*T2^11 - 277*T1^4*T2^12 + 
     121*T1^5*T2^12 + 679*T1^6*T2^12 - 1375*T1^7*T2^12 + 487*T1^8*T2^12 + 
     1387*T1^9*T2^12 - 2473*T1^10*T2^12 + 1387*T1^11*T2^12 + 
     487*T1^12*T2^12 - 1375*T1^13*T2^12 + 679*T1^14*T2^12 + 121*T1^15*T2^12 - 
     277*T1^16*T2^12 + 196*T1^5*T2^13 - 243*T1^6*T2^13 - 204*T1^7*T2^13 + 
     1062*T1^8*T2^13 - 1375*T1^9*T2^13 + 665*T1^10*T2^13 + 665*T1^11*T2^13 - 
     1375*T1^12*T2^13 + 1062*T1^13*T2^13 - 204*T1^14*T2^13 - 
     243*T1^15*T2^13 + 196*T1^16*T2^13 - 33*T1^6*T2^14 + 122*T1^7*T2^14 - 
     105*T1^8*T2^14 - 204*T1^9*T2^14 + 679*T1^10*T2^14 - 909*T1^11*T2^14 + 
     679*T1^12*T2^14 - 204*T1^13*T2^14 - 105*T1^14*T2^14 + 122*T1^15*T2^14 - 
     33*T1^16*T2^14 - 49*T1^7*T2^15 + 24*T1^8*T2^15 + 122*T1^9*T2^15 - 
     243*T1^10*T2^15 + 121*T1^11*T2^15 + 121*T1^12*T2^15 - 243*T1^13*T2^15 + 
     122*T1^14*T2^15 + 24*T1^15*T2^15 - 49*T1^16*T2^15 + 33*T1^8*T2^16 - 
     49*T1^9*T2^16 - 33*T1^10*T2^16 + 196*T1^11*T2^16 - 277*T1^12*T2^16 + 
     196*T1^13*T2^16 - 33*T1^14*T2^16 - 49*T1^15*T2^16 + 33*T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, NonAlternating, 692] -> 
  {((2 - 3*T + 2*T^2)*(1 - 2*T^2 + 3*T^3 - 2*T^4 + T^6))/T^4, 
   (33 - 49*T1 - 33*T1^2 + 196*T1^3 - 277*T1^4 + 196*T1^5 - 33*T1^6 - 
     49*T1^7 + 33*T1^8 - 49*T2 + 24*T1*T2 + 122*T1^2*T2 - 243*T1^3*T2 + 
     121*T1^4*T2 + 121*T1^5*T2 - 243*T1^6*T2 + 122*T1^7*T2 + 24*T1^8*T2 - 
     49*T1^9*T2 - 33*T2^2 + 122*T1*T2^2 - 105*T1^2*T2^2 - 204*T1^3*T2^2 + 
     682*T1^4*T2^2 - 915*T1^5*T2^2 + 682*T1^6*T2^2 - 204*T1^7*T2^2 - 
     105*T1^8*T2^2 + 122*T1^9*T2^2 - 33*T1^10*T2^2 + 196*T2^3 - 243*T1*T2^3 - 
     204*T1^2*T2^3 + 1056*T1^3*T2^3 - 1369*T1^4*T2^3 + 665*T1^5*T2^3 + 
     665*T1^6*T2^3 - 1369*T1^7*T2^3 + 1056*T1^8*T2^3 - 204*T1^9*T2^3 - 
     243*T1^10*T2^3 + 196*T1^11*T2^3 - 277*T2^4 + 121*T1*T2^4 + 
     682*T1^2*T2^4 - 1369*T1^3*T2^4 + 481*T1^4*T2^4 + 1387*T1^5*T2^4 - 
     2479*T1^6*T2^4 + 1387*T1^7*T2^4 + 481*T1^8*T2^4 - 1369*T1^9*T2^4 + 
     682*T1^10*T2^4 + 121*T1^11*T2^4 - 277*T1^12*T2^4 + 196*T2^5 + 
     121*T1*T2^5 - 915*T1^2*T2^5 + 665*T1^3*T2^5 + 1387*T1^4*T2^5 - 
     2870*T1^5*T2^5 + 1542*T1^6*T2^5 + 1542*T1^7*T2^5 - 2870*T1^8*T2^5 + 
     1387*T1^9*T2^5 + 665*T1^10*T2^5 - 915*T1^11*T2^5 + 121*T1^12*T2^5 + 
     196*T1^13*T2^5 - 33*T2^6 - 243*T1*T2^6 + 682*T1^2*T2^6 + 665*T1^3*T2^6 - 
     2479*T1^4*T2^6 + 1542*T1^5*T2^6 + 2408*T1^6*T2^6 - 4528*T1^7*T2^6 + 
     2408*T1^8*T2^6 + 1542*T1^9*T2^6 - 2479*T1^10*T2^6 + 665*T1^11*T2^6 + 
     682*T1^12*T2^6 - 243*T1^13*T2^6 - 33*T1^14*T2^6 - 49*T2^7 + 
     122*T1*T2^7 - 204*T1^2*T2^7 - 1369*T1^3*T2^7 + 1387*T1^4*T2^7 + 
     1542*T1^5*T2^7 - 4528*T1^6*T2^7 + 2302*T1^7*T2^7 + 2302*T1^8*T2^7 - 
     4528*T1^9*T2^7 + 1542*T1^10*T2^7 + 1387*T1^11*T2^7 - 1369*T1^12*T2^7 - 
     204*T1^13*T2^7 + 122*T1^14*T2^7 - 49*T1^15*T2^7 + 33*T2^8 + 24*T1*T2^8 - 
     105*T1^2*T2^8 + 1056*T1^3*T2^8 + 481*T1^4*T2^8 - 2870*T1^5*T2^8 + 
     2408*T1^6*T2^8 + 2302*T1^7*T2^8 - 4584*T1^8*T2^8 + 2302*T1^9*T2^8 + 
     2408*T1^10*T2^8 - 2870*T1^11*T2^8 + 481*T1^12*T2^8 + 1056*T1^13*T2^8 - 
     105*T1^14*T2^8 + 24*T1^15*T2^8 + 33*T1^16*T2^8 - 49*T1*T2^9 + 
     122*T1^2*T2^9 - 204*T1^3*T2^9 - 1369*T1^4*T2^9 + 1387*T1^5*T2^9 + 
     1542*T1^6*T2^9 - 4528*T1^7*T2^9 + 2302*T1^8*T2^9 + 2302*T1^9*T2^9 - 
     4528*T1^10*T2^9 + 1542*T1^11*T2^9 + 1387*T1^12*T2^9 - 1369*T1^13*T2^9 - 
     204*T1^14*T2^9 + 122*T1^15*T2^9 - 49*T1^16*T2^9 - 33*T1^2*T2^10 - 
     243*T1^3*T2^10 + 682*T1^4*T2^10 + 665*T1^5*T2^10 - 2479*T1^6*T2^10 + 
     1542*T1^7*T2^10 + 2408*T1^8*T2^10 - 4528*T1^9*T2^10 + 2408*T1^10*T2^10 + 
     1542*T1^11*T2^10 - 2479*T1^12*T2^10 + 665*T1^13*T2^10 + 
     682*T1^14*T2^10 - 243*T1^15*T2^10 - 33*T1^16*T2^10 + 196*T1^3*T2^11 + 
     121*T1^4*T2^11 - 915*T1^5*T2^11 + 665*T1^6*T2^11 + 1387*T1^7*T2^11 - 
     2870*T1^8*T2^11 + 1542*T1^9*T2^11 + 1542*T1^10*T2^11 - 
     2870*T1^11*T2^11 + 1387*T1^12*T2^11 + 665*T1^13*T2^11 - 
     915*T1^14*T2^11 + 121*T1^15*T2^11 + 196*T1^16*T2^11 - 277*T1^4*T2^12 + 
     121*T1^5*T2^12 + 682*T1^6*T2^12 - 1369*T1^7*T2^12 + 481*T1^8*T2^12 + 
     1387*T1^9*T2^12 - 2479*T1^10*T2^12 + 1387*T1^11*T2^12 + 
     481*T1^12*T2^12 - 1369*T1^13*T2^12 + 682*T1^14*T2^12 + 121*T1^15*T2^12 - 
     277*T1^16*T2^12 + 196*T1^5*T2^13 - 243*T1^6*T2^13 - 204*T1^7*T2^13 + 
     1056*T1^8*T2^13 - 1369*T1^9*T2^13 + 665*T1^10*T2^13 + 665*T1^11*T2^13 - 
     1369*T1^12*T2^13 + 1056*T1^13*T2^13 - 204*T1^14*T2^13 - 
     243*T1^15*T2^13 + 196*T1^16*T2^13 - 33*T1^6*T2^14 + 122*T1^7*T2^14 - 
     105*T1^8*T2^14 - 204*T1^9*T2^14 + 682*T1^10*T2^14 - 915*T1^11*T2^14 + 
     682*T1^12*T2^14 - 204*T1^13*T2^14 - 105*T1^14*T2^14 + 122*T1^15*T2^14 - 
     33*T1^16*T2^14 - 49*T1^7*T2^15 + 24*T1^8*T2^15 + 122*T1^9*T2^15 - 
     243*T1^10*T2^15 + 121*T1^11*T2^15 + 121*T1^12*T2^15 - 243*T1^13*T2^15 + 
     122*T1^14*T2^15 + 24*T1^15*T2^15 - 49*T1^16*T2^15 + 33*T1^8*T2^16 - 
     49*T1^9*T2^16 - 33*T1^10*T2^16 + 196*T1^11*T2^16 - 277*T1^12*T2^16 + 
     196*T1^13*T2^16 - 33*T1^14*T2^16 - 49*T1^15*T2^16 + 33*T1^16*T2^16)/
    (T1^8*T2^8)}, 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), 
   -((3 - 12*T1 + 6*T1^2 + 21*T1^3 - 39*T1^4 + 21*T1^5 + 6*T1^6 - 12*T1^7 + 
      3*T1^8 - 12*T2 + 36*T1*T2 + 24*T1^2*T2 - 108*T1^3*T2 + 72*T1^4*T2 + 
      72*T1^5*T2 - 108*T1^6*T2 + 24*T1^7*T2 + 36*T1^8*T2 - 12*T1^9*T2 + 
      6*T2^2 + 24*T1*T2^2 - 170*T1^2*T2^2 + 109*T1^3*T2^2 + 263*T1^4*T2^2 - 
      524*T1^5*T2^2 + 263*T1^6*T2^2 + 109*T1^7*T2^2 - 170*T1^8*T2^2 + 
      24*T1^9*T2^2 + 6*T1^10*T2^2 + 21*T2^3 - 108*T1*T2^3 + 109*T1^2*T2^3 + 
      212*T1^3*T2^3 - 528*T1^4*T2^3 + 303*T1^5*T2^3 + 303*T1^6*T2^3 - 
      528*T1^7*T2^3 + 212*T1^8*T2^3 + 109*T1^9*T2^3 - 108*T1^10*T2^3 + 
      21*T1^11*T2^3 - 39*T2^4 + 72*T1*T2^4 + 263*T1^2*T2^4 - 528*T1^3*T2^4 + 
      152*T1^4*T2^4 + 795*T1^5*T2^4 - 1262*T1^6*T2^4 + 795*T1^7*T2^4 + 
      152*T1^8*T2^4 - 528*T1^9*T2^4 + 263*T1^10*T2^4 + 72*T1^11*T2^4 - 
      39*T1^12*T2^4 + 21*T2^5 + 72*T1*T2^5 - 524*T1^2*T2^5 + 303*T1^3*T2^5 + 
      795*T1^4*T2^5 - 1632*T1^5*T2^5 + 815*T1^6*T2^5 + 815*T1^7*T2^5 - 
      1632*T1^8*T2^5 + 795*T1^9*T2^5 + 303*T1^10*T2^5 - 524*T1^11*T2^5 + 
      72*T1^12*T2^5 + 21*T1^13*T2^5 + 6*T2^6 - 108*T1*T2^6 + 263*T1^2*T2^6 + 
      303*T1^3*T2^6 - 1262*T1^4*T2^6 + 815*T1^5*T2^6 + 1307*T1^6*T2^6 - 
      2579*T1^7*T2^6 + 1307*T1^8*T2^6 + 815*T1^9*T2^6 - 1262*T1^10*T2^6 + 
      303*T1^11*T2^6 + 263*T1^12*T2^6 - 108*T1^13*T2^6 + 6*T1^14*T2^6 - 
      12*T2^7 + 24*T1*T2^7 + 109*T1^2*T2^7 - 528*T1^3*T2^7 + 795*T1^4*T2^7 + 
      815*T1^5*T2^7 - 2579*T1^6*T2^7 + 1596*T1^7*T2^7 + 1596*T1^8*T2^7 - 
      2579*T1^9*T2^7 + 815*T1^10*T2^7 + 795*T1^11*T2^7 - 528*T1^12*T2^7 + 
      109*T1^13*T2^7 + 24*T1^14*T2^7 - 12*T1^15*T2^7 + 3*T2^8 + 36*T1*T2^8 - 
      170*T1^2*T2^8 + 212*T1^3*T2^8 + 152*T1^4*T2^8 - 1632*T1^5*T2^8 + 
      1307*T1^6*T2^8 + 1596*T1^7*T2^8 - 3720*T1^8*T2^8 + 1596*T1^9*T2^8 + 
      1307*T1^10*T2^8 - 1632*T1^11*T2^8 + 152*T1^12*T2^8 + 212*T1^13*T2^8 - 
      170*T1^14*T2^8 + 36*T1^15*T2^8 + 3*T1^16*T2^8 - 12*T1*T2^9 + 
      24*T1^2*T2^9 + 109*T1^3*T2^9 - 528*T1^4*T2^9 + 795*T1^5*T2^9 + 
      815*T1^6*T2^9 - 2579*T1^7*T2^9 + 1596*T1^8*T2^9 + 1596*T1^9*T2^9 - 
      2579*T1^10*T2^9 + 815*T1^11*T2^9 + 795*T1^12*T2^9 - 528*T1^13*T2^9 + 
      109*T1^14*T2^9 + 24*T1^15*T2^9 - 12*T1^16*T2^9 + 6*T1^2*T2^10 - 
      108*T1^3*T2^10 + 263*T1^4*T2^10 + 303*T1^5*T2^10 - 1262*T1^6*T2^10 + 
      815*T1^7*T2^10 + 1307*T1^8*T2^10 - 2579*T1^9*T2^10 + 1307*T1^10*T2^10 + 
      815*T1^11*T2^10 - 1262*T1^12*T2^10 + 303*T1^13*T2^10 + 
      263*T1^14*T2^10 - 108*T1^15*T2^10 + 6*T1^16*T2^10 + 21*T1^3*T2^11 + 
      72*T1^4*T2^11 - 524*T1^5*T2^11 + 303*T1^6*T2^11 + 795*T1^7*T2^11 - 
      1632*T1^8*T2^11 + 815*T1^9*T2^11 + 815*T1^10*T2^11 - 1632*T1^11*T2^11 + 
      795*T1^12*T2^11 + 303*T1^13*T2^11 - 524*T1^14*T2^11 + 72*T1^15*T2^11 + 
      21*T1^16*T2^11 - 39*T1^4*T2^12 + 72*T1^5*T2^12 + 263*T1^6*T2^12 - 
      528*T1^7*T2^12 + 152*T1^8*T2^12 + 795*T1^9*T2^12 - 1262*T1^10*T2^12 + 
      795*T1^11*T2^12 + 152*T1^12*T2^12 - 528*T1^13*T2^12 + 263*T1^14*T2^12 + 
      72*T1^15*T2^12 - 39*T1^16*T2^12 + 21*T1^5*T2^13 - 108*T1^6*T2^13 + 
      109*T1^7*T2^13 + 212*T1^8*T2^13 - 528*T1^9*T2^13 + 303*T1^10*T2^13 + 
      303*T1^11*T2^13 - 528*T1^12*T2^13 + 212*T1^13*T2^13 + 109*T1^14*T2^13 - 
      108*T1^15*T2^13 + 21*T1^16*T2^13 + 6*T1^6*T2^14 + 24*T1^7*T2^14 - 
      170*T1^8*T2^14 + 109*T1^9*T2^14 + 263*T1^10*T2^14 - 524*T1^11*T2^14 + 
      263*T1^12*T2^14 + 109*T1^13*T2^14 - 170*T1^14*T2^14 + 24*T1^15*T2^14 + 
      6*T1^16*T2^14 - 12*T1^7*T2^15 + 36*T1^8*T2^15 + 24*T1^9*T2^15 - 
      108*T1^10*T2^15 + 72*T1^11*T2^15 + 72*T1^12*T2^15 - 108*T1^13*T2^15 + 
      24*T1^14*T2^15 + 36*T1^15*T2^15 - 12*T1^16*T2^15 + 3*T1^8*T2^16 - 
      12*T1^9*T2^16 + 6*T1^10*T2^16 + 21*T1^11*T2^16 - 39*T1^12*T2^16 + 
      21*T1^13*T2^16 + 6*T1^14*T2^16 - 12*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, NonAlternating, 694] -> 
  {(1 - 4*T^2 + 9*T^3 - 11*T^4 + 9*T^5 - 4*T^6 + T^8)/T^4, 
   (4 - 16*T1^2 + 36*T1^3 - 44*T1^4 + 36*T1^5 - 16*T1^6 + 4*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 + 50*T1^2*T2^2 - 132*T1^3*T2^2 + 203*T1^4*T2^2 - 238*T1^5*T2^2 + 
     203*T1^6*T2^2 - 132*T1^7*T2^2 + 50*T1^8*T2^2 - T1^9*T2^2 - 
     16*T1^10*T2^2 + 36*T2^3 + 2*T1*T2^3 - 132*T1^2*T2^3 + 290*T1^3*T2^3 - 
     298*T1^4*T2^3 + 132*T1^5*T2^3 + 132*T1^6*T2^3 - 298*T1^7*T2^3 + 
     290*T1^8*T2^3 - 132*T1^9*T2^3 + 2*T1^10*T2^3 + 36*T1^11*T2^3 - 44*T2^4 - 
     T1*T2^4 + 203*T1^2*T2^4 - 298*T1^3*T2^4 + 127*T1^4*T2^4 + 
     145*T1^5*T2^4 - 267*T1^6*T2^4 + 145*T1^7*T2^4 + 127*T1^8*T2^4 - 
     298*T1^9*T2^4 + 203*T1^10*T2^4 - T1^11*T2^4 - 44*T1^12*T2^4 + 36*T2^5 - 
     T1*T2^5 - 238*T1^2*T2^5 + 132*T1^3*T2^5 + 145*T1^4*T2^5 - 
     302*T1^5*T2^5 + 120*T1^6*T2^5 + 120*T1^7*T2^5 - 302*T1^8*T2^5 + 
     145*T1^9*T2^5 + 132*T1^10*T2^5 - 238*T1^11*T2^5 - T1^12*T2^5 + 
     36*T1^13*T2^5 - 16*T2^6 + 2*T1*T2^6 + 203*T1^2*T2^6 + 132*T1^3*T2^6 - 
     267*T1^4*T2^6 + 120*T1^5*T2^6 + 291*T1^6*T2^6 - 365*T1^7*T2^6 + 
     291*T1^8*T2^6 + 120*T1^9*T2^6 - 267*T1^10*T2^6 + 132*T1^11*T2^6 + 
     203*T1^12*T2^6 + 2*T1^13*T2^6 - 16*T1^14*T2^6 - T1*T2^7 - 
     132*T1^2*T2^7 - 298*T1^3*T2^7 + 145*T1^4*T2^7 + 120*T1^5*T2^7 - 
     365*T1^6*T2^7 + 84*T1^7*T2^7 + 84*T1^8*T2^7 - 365*T1^9*T2^7 + 
     120*T1^10*T2^7 + 145*T1^11*T2^7 - 298*T1^12*T2^7 - 132*T1^13*T2^7 - 
     T1^14*T2^7 + 4*T2^8 + 50*T1^2*T2^8 + 290*T1^3*T2^8 + 127*T1^4*T2^8 - 
     302*T1^5*T2^8 + 291*T1^6*T2^8 + 84*T1^7*T2^8 - 60*T1^8*T2^8 + 
     84*T1^9*T2^8 + 291*T1^10*T2^8 - 302*T1^11*T2^8 + 127*T1^12*T2^8 + 
     290*T1^13*T2^8 + 50*T1^14*T2^8 + 4*T1^16*T2^8 - T1^2*T2^9 - 
     132*T1^3*T2^9 - 298*T1^4*T2^9 + 145*T1^5*T2^9 + 120*T1^6*T2^9 - 
     365*T1^7*T2^9 + 84*T1^8*T2^9 + 84*T1^9*T2^9 - 365*T1^10*T2^9 + 
     120*T1^11*T2^9 + 145*T1^12*T2^9 - 298*T1^13*T2^9 - 132*T1^14*T2^9 - 
     T1^15*T2^9 - 16*T1^2*T2^10 + 2*T1^3*T2^10 + 203*T1^4*T2^10 + 
     132*T1^5*T2^10 - 267*T1^6*T2^10 + 120*T1^7*T2^10 + 291*T1^8*T2^10 - 
     365*T1^9*T2^10 + 291*T1^10*T2^10 + 120*T1^11*T2^10 - 267*T1^12*T2^10 + 
     132*T1^13*T2^10 + 203*T1^14*T2^10 + 2*T1^15*T2^10 - 16*T1^16*T2^10 + 
     36*T1^3*T2^11 - T1^4*T2^11 - 238*T1^5*T2^11 + 132*T1^6*T2^11 + 
     145*T1^7*T2^11 - 302*T1^8*T2^11 + 120*T1^9*T2^11 + 120*T1^10*T2^11 - 
     302*T1^11*T2^11 + 145*T1^12*T2^11 + 132*T1^13*T2^11 - 238*T1^14*T2^11 - 
     T1^15*T2^11 + 36*T1^16*T2^11 - 44*T1^4*T2^12 - T1^5*T2^12 + 
     203*T1^6*T2^12 - 298*T1^7*T2^12 + 127*T1^8*T2^12 + 145*T1^9*T2^12 - 
     267*T1^10*T2^12 + 145*T1^11*T2^12 + 127*T1^12*T2^12 - 298*T1^13*T2^12 + 
     203*T1^14*T2^12 - T1^15*T2^12 - 44*T1^16*T2^12 + 36*T1^5*T2^13 + 
     2*T1^6*T2^13 - 132*T1^7*T2^13 + 290*T1^8*T2^13 - 298*T1^9*T2^13 + 
     132*T1^10*T2^13 + 132*T1^11*T2^13 - 298*T1^12*T2^13 + 290*T1^13*T2^13 - 
     132*T1^14*T2^13 + 2*T1^15*T2^13 + 36*T1^16*T2^13 - 16*T1^6*T2^14 - 
     T1^7*T2^14 + 50*T1^8*T2^14 - 132*T1^9*T2^14 + 203*T1^10*T2^14 - 
     238*T1^11*T2^14 + 203*T1^12*T2^14 - 132*T1^13*T2^14 + 50*T1^14*T2^14 - 
     T1^15*T2^14 - 16*T1^16*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 + 4*T1^8*T2^16 - 
     16*T1^10*T2^16 + 36*T1^11*T2^16 - 44*T1^12*T2^16 + 36*T1^13*T2^16 - 
     16*T1^14*T2^16 + 4*T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 
   -((2 - 2*T1 - 2*T1^2 + 6*T1^3 - 2*T1^4 - 2*T1^5 + 2*T1^6 - 2*T2 - 
      8*T1*T2 + 21*T1^2*T2 - 15*T1^3*T2 - 15*T1^4*T2 + 21*T1^5*T2 - 
      8*T1^6*T2 - 2*T1^7*T2 - 2*T2^2 + 21*T1*T2^2 - 26*T1^2*T2^2 - 
      6*T1^3*T2^2 + 40*T1^4*T2^2 - 6*T1^5*T2^2 - 26*T1^6*T2^2 + 
      21*T1^7*T2^2 - 2*T1^8*T2^2 + 6*T2^3 - 15*T1*T2^3 - 6*T1^2*T2^3 + 
      46*T1^3*T2^3 - 37*T1^4*T2^3 - 37*T1^5*T2^3 + 46*T1^6*T2^3 - 
      6*T1^7*T2^3 - 15*T1^8*T2^3 + 6*T1^9*T2^3 - 2*T2^4 - 15*T1*T2^4 + 
      40*T1^2*T2^4 - 37*T1^3*T2^4 - 26*T1^4*T2^4 + 78*T1^5*T2^4 - 
      26*T1^6*T2^4 - 37*T1^7*T2^4 + 40*T1^8*T2^4 - 15*T1^9*T2^4 - 
      2*T1^10*T2^4 - 2*T2^5 + 21*T1*T2^5 - 6*T1^2*T2^5 - 37*T1^3*T2^5 + 
      78*T1^4*T2^5 - 44*T1^5*T2^5 - 44*T1^6*T2^5 + 78*T1^7*T2^5 - 
      37*T1^8*T2^5 - 6*T1^9*T2^5 + 21*T1^10*T2^5 - 2*T1^11*T2^5 + 2*T2^6 - 
      8*T1*T2^6 - 26*T1^2*T2^6 + 46*T1^3*T2^6 - 26*T1^4*T2^6 - 44*T1^5*T2^6 + 
      84*T1^6*T2^6 - 44*T1^7*T2^6 - 26*T1^8*T2^6 + 46*T1^9*T2^6 - 
      26*T1^10*T2^6 - 8*T1^11*T2^6 + 2*T1^12*T2^6 - 2*T1*T2^7 + 
      21*T1^2*T2^7 - 6*T1^3*T2^7 - 37*T1^4*T2^7 + 78*T1^5*T2^7 - 
      44*T1^6*T2^7 - 44*T1^7*T2^7 + 78*T1^8*T2^7 - 37*T1^9*T2^7 - 
      6*T1^10*T2^7 + 21*T1^11*T2^7 - 2*T1^12*T2^7 - 2*T1^2*T2^8 - 
      15*T1^3*T2^8 + 40*T1^4*T2^8 - 37*T1^5*T2^8 - 26*T1^6*T2^8 + 
      78*T1^7*T2^8 - 26*T1^8*T2^8 - 37*T1^9*T2^8 + 40*T1^10*T2^8 - 
      15*T1^11*T2^8 - 2*T1^12*T2^8 + 6*T1^3*T2^9 - 15*T1^4*T2^9 - 
      6*T1^5*T2^9 + 46*T1^6*T2^9 - 37*T1^7*T2^9 - 37*T1^8*T2^9 + 
      46*T1^9*T2^9 - 6*T1^10*T2^9 - 15*T1^11*T2^9 + 6*T1^12*T2^9 - 
      2*T1^4*T2^10 + 21*T1^5*T2^10 - 26*T1^6*T2^10 - 6*T1^7*T2^10 + 
      40*T1^8*T2^10 - 6*T1^9*T2^10 - 26*T1^10*T2^10 + 21*T1^11*T2^10 - 
      2*T1^12*T2^10 - 2*T1^5*T2^11 - 8*T1^6*T2^11 + 21*T1^7*T2^11 - 
      15*T1^8*T2^11 - 15*T1^9*T2^11 + 21*T1^10*T2^11 - 8*T1^11*T2^11 - 
      2*T1^12*T2^11 + 2*T1^6*T2^12 - 2*T1^7*T2^12 - 2*T1^8*T2^12 + 
      6*T1^9*T2^12 - 2*T1^10*T2^12 - 2*T1^11*T2^12 + 2*T1^12*T2^12)/
     (T1^6*T2^6))}, 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), 
   -((3 - 12*T1 + 6*T1^2 + 21*T1^3 - 39*T1^4 + 21*T1^5 + 6*T1^6 - 12*T1^7 + 
      3*T1^8 - 12*T2 + 36*T1*T2 + 24*T1^2*T2 - 108*T1^3*T2 + 72*T1^4*T2 + 
      72*T1^5*T2 - 108*T1^6*T2 + 24*T1^7*T2 + 36*T1^8*T2 - 12*T1^9*T2 + 
      6*T2^2 + 24*T1*T2^2 - 170*T1^2*T2^2 + 109*T1^3*T2^2 + 261*T1^4*T2^2 - 
      520*T1^5*T2^2 + 261*T1^6*T2^2 + 109*T1^7*T2^2 - 170*T1^8*T2^2 + 
      24*T1^9*T2^2 + 6*T1^10*T2^2 + 21*T2^3 - 108*T1*T2^3 + 109*T1^2*T2^3 + 
      216*T1^3*T2^3 - 532*T1^4*T2^3 + 303*T1^5*T2^3 + 303*T1^6*T2^3 - 
      532*T1^7*T2^3 + 216*T1^8*T2^3 + 109*T1^9*T2^3 - 108*T1^10*T2^3 + 
      21*T1^11*T2^3 - 39*T2^4 + 72*T1*T2^4 + 261*T1^2*T2^4 - 532*T1^3*T2^4 + 
      156*T1^4*T2^4 + 795*T1^5*T2^4 - 1258*T1^6*T2^4 + 795*T1^7*T2^4 + 
      156*T1^8*T2^4 - 532*T1^9*T2^4 + 261*T1^10*T2^4 + 72*T1^11*T2^4 - 
      39*T1^12*T2^4 + 21*T2^5 + 72*T1*T2^5 - 520*T1^2*T2^5 + 303*T1^3*T2^5 + 
      795*T1^4*T2^5 - 1632*T1^5*T2^5 + 811*T1^6*T2^5 + 811*T1^7*T2^5 - 
      1632*T1^8*T2^5 + 795*T1^9*T2^5 + 303*T1^10*T2^5 - 520*T1^11*T2^5 + 
      72*T1^12*T2^5 + 21*T1^13*T2^5 + 6*T2^6 - 108*T1*T2^6 + 261*T1^2*T2^6 + 
      303*T1^3*T2^6 - 1258*T1^4*T2^6 + 811*T1^5*T2^6 + 1307*T1^6*T2^6 - 
      2575*T1^7*T2^6 + 1307*T1^8*T2^6 + 811*T1^9*T2^6 - 1258*T1^10*T2^6 + 
      303*T1^11*T2^6 + 261*T1^12*T2^6 - 108*T1^13*T2^6 + 6*T1^14*T2^6 - 
      12*T2^7 + 24*T1*T2^7 + 109*T1^2*T2^7 - 532*T1^3*T2^7 + 795*T1^4*T2^7 + 
      811*T1^5*T2^7 - 2575*T1^6*T2^7 + 1600*T1^7*T2^7 + 1600*T1^8*T2^7 - 
      2575*T1^9*T2^7 + 811*T1^10*T2^7 + 795*T1^11*T2^7 - 532*T1^12*T2^7 + 
      109*T1^13*T2^7 + 24*T1^14*T2^7 - 12*T1^15*T2^7 + 3*T2^8 + 36*T1*T2^8 - 
      170*T1^2*T2^8 + 216*T1^3*T2^8 + 156*T1^4*T2^8 - 1632*T1^5*T2^8 + 
      1307*T1^6*T2^8 + 1600*T1^7*T2^8 - 3744*T1^8*T2^8 + 1600*T1^9*T2^8 + 
      1307*T1^10*T2^8 - 1632*T1^11*T2^8 + 156*T1^12*T2^8 + 216*T1^13*T2^8 - 
      170*T1^14*T2^8 + 36*T1^15*T2^8 + 3*T1^16*T2^8 - 12*T1*T2^9 + 
      24*T1^2*T2^9 + 109*T1^3*T2^9 - 532*T1^4*T2^9 + 795*T1^5*T2^9 + 
      811*T1^6*T2^9 - 2575*T1^7*T2^9 + 1600*T1^8*T2^9 + 1600*T1^9*T2^9 - 
      2575*T1^10*T2^9 + 811*T1^11*T2^9 + 795*T1^12*T2^9 - 532*T1^13*T2^9 + 
      109*T1^14*T2^9 + 24*T1^15*T2^9 - 12*T1^16*T2^9 + 6*T1^2*T2^10 - 
      108*T1^3*T2^10 + 261*T1^4*T2^10 + 303*T1^5*T2^10 - 1258*T1^6*T2^10 + 
      811*T1^7*T2^10 + 1307*T1^8*T2^10 - 2575*T1^9*T2^10 + 1307*T1^10*T2^10 + 
      811*T1^11*T2^10 - 1258*T1^12*T2^10 + 303*T1^13*T2^10 + 
      261*T1^14*T2^10 - 108*T1^15*T2^10 + 6*T1^16*T2^10 + 21*T1^3*T2^11 + 
      72*T1^4*T2^11 - 520*T1^5*T2^11 + 303*T1^6*T2^11 + 795*T1^7*T2^11 - 
      1632*T1^8*T2^11 + 811*T1^9*T2^11 + 811*T1^10*T2^11 - 1632*T1^11*T2^11 + 
      795*T1^12*T2^11 + 303*T1^13*T2^11 - 520*T1^14*T2^11 + 72*T1^15*T2^11 + 
      21*T1^16*T2^11 - 39*T1^4*T2^12 + 72*T1^5*T2^12 + 261*T1^6*T2^12 - 
      532*T1^7*T2^12 + 156*T1^8*T2^12 + 795*T1^9*T2^12 - 1258*T1^10*T2^12 + 
      795*T1^11*T2^12 + 156*T1^12*T2^12 - 532*T1^13*T2^12 + 261*T1^14*T2^12 + 
      72*T1^15*T2^12 - 39*T1^16*T2^12 + 21*T1^5*T2^13 - 108*T1^6*T2^13 + 
      109*T1^7*T2^13 + 216*T1^8*T2^13 - 532*T1^9*T2^13 + 303*T1^10*T2^13 + 
      303*T1^11*T2^13 - 532*T1^12*T2^13 + 216*T1^13*T2^13 + 109*T1^14*T2^13 - 
      108*T1^15*T2^13 + 21*T1^16*T2^13 + 6*T1^6*T2^14 + 24*T1^7*T2^14 - 
      170*T1^8*T2^14 + 109*T1^9*T2^14 + 261*T1^10*T2^14 - 520*T1^11*T2^14 + 
      261*T1^12*T2^14 + 109*T1^13*T2^14 - 170*T1^14*T2^14 + 24*T1^15*T2^14 + 
      6*T1^16*T2^14 - 12*T1^7*T2^15 + 36*T1^8*T2^15 + 24*T1^9*T2^15 - 
      108*T1^10*T2^15 + 72*T1^11*T2^15 + 72*T1^12*T2^15 - 108*T1^13*T2^15 + 
      24*T1^14*T2^15 + 36*T1^15*T2^15 - 12*T1^16*T2^15 + 3*T1^8*T2^16 - 
      12*T1^9*T2^16 + 6*T1^10*T2^16 + 21*T1^11*T2^16 - 39*T1^12*T2^16 + 
      21*T1^13*T2^16 + 6*T1^14*T2^16 - 12*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^8*T2^8))}, 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, 
   (2 - 8*T1 + 12*T1^2 - 2*T1^3 - 6*T1^4 - 2*T1^5 + 12*T1^6 - 8*T1^7 + 
     2*T1^8 - 8*T2 + 24*T1*T2 - 16*T1^2*T2 - 40*T1^3*T2 + 32*T1^4*T2 + 
     32*T1^5*T2 - 40*T1^6*T2 - 16*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 
     12*T2^2 - 16*T1*T2^2 - 42*T1^2*T2^2 + 128*T1^3*T2^2 + 9*T1^4*T2^2 - 
     124*T1^5*T2^2 + 9*T1^6*T2^2 + 128*T1^7*T2^2 - 42*T1^8*T2^2 - 
     16*T1^9*T2^2 + 12*T1^10*T2^2 - 2*T2^3 - 40*T1*T2^3 + 128*T1^2*T2^3 - 
     88*T1^3*T2^3 - 235*T1^4*T2^3 + 183*T1^5*T2^3 + 183*T1^6*T2^3 - 
     235*T1^7*T2^3 - 88*T1^8*T2^3 + 128*T1^9*T2^3 - 40*T1^10*T2^3 - 
     2*T1^11*T2^3 - 6*T2^4 + 32*T1*T2^4 + 9*T1^2*T2^4 - 235*T1^3*T2^4 + 
     390*T1^4*T2^4 + 44*T1^5*T2^4 - 384*T1^6*T2^4 + 44*T1^7*T2^4 + 
     390*T1^8*T2^4 - 235*T1^9*T2^4 + 9*T1^10*T2^4 + 32*T1^11*T2^4 - 
     6*T1^12*T2^4 - 2*T2^5 + 32*T1*T2^5 - 124*T1^2*T2^5 + 183*T1^3*T2^5 + 
     44*T1^4*T2^5 - 348*T1^5*T2^5 + 235*T1^6*T2^5 + 235*T1^7*T2^5 - 
     348*T1^8*T2^5 + 44*T1^9*T2^5 + 183*T1^10*T2^5 - 124*T1^11*T2^5 + 
     32*T1^12*T2^5 - 2*T1^13*T2^5 + 12*T2^6 - 40*T1*T2^6 + 9*T1^2*T2^6 + 
     183*T1^3*T2^6 - 384*T1^4*T2^6 + 235*T1^5*T2^6 + 42*T1^6*T2^6 - 
     234*T1^7*T2^6 + 42*T1^8*T2^6 + 235*T1^9*T2^6 - 384*T1^10*T2^6 + 
     183*T1^11*T2^6 + 9*T1^12*T2^6 - 40*T1^13*T2^6 + 12*T1^14*T2^6 - 8*T2^7 - 
     16*T1*T2^7 + 128*T1^2*T2^7 - 235*T1^3*T2^7 + 44*T1^4*T2^7 + 
     235*T1^5*T2^7 - 234*T1^6*T2^7 + 114*T1^7*T2^7 + 114*T1^8*T2^7 - 
     234*T1^9*T2^7 + 235*T1^10*T2^7 + 44*T1^11*T2^7 - 235*T1^12*T2^7 + 
     128*T1^13*T2^7 - 16*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 24*T1*T2^8 - 
     42*T1^2*T2^8 - 88*T1^3*T2^8 + 390*T1^4*T2^8 - 348*T1^5*T2^8 + 
     42*T1^6*T2^8 + 114*T1^7*T2^8 - 180*T1^8*T2^8 + 114*T1^9*T2^8 + 
     42*T1^10*T2^8 - 348*T1^11*T2^8 + 390*T1^12*T2^8 - 88*T1^13*T2^8 - 
     42*T1^14*T2^8 + 24*T1^15*T2^8 + 2*T1^16*T2^8 - 8*T1*T2^9 - 
     16*T1^2*T2^9 + 128*T1^3*T2^9 - 235*T1^4*T2^9 + 44*T1^5*T2^9 + 
     235*T1^6*T2^9 - 234*T1^7*T2^9 + 114*T1^8*T2^9 + 114*T1^9*T2^9 - 
     234*T1^10*T2^9 + 235*T1^11*T2^9 + 44*T1^12*T2^9 - 235*T1^13*T2^9 + 
     128*T1^14*T2^9 - 16*T1^15*T2^9 - 8*T1^16*T2^9 + 12*T1^2*T2^10 - 
     40*T1^3*T2^10 + 9*T1^4*T2^10 + 183*T1^5*T2^10 - 384*T1^6*T2^10 + 
     235*T1^7*T2^10 + 42*T1^8*T2^10 - 234*T1^9*T2^10 + 42*T1^10*T2^10 + 
     235*T1^11*T2^10 - 384*T1^12*T2^10 + 183*T1^13*T2^10 + 9*T1^14*T2^10 - 
     40*T1^15*T2^10 + 12*T1^16*T2^10 - 2*T1^3*T2^11 + 32*T1^4*T2^11 - 
     124*T1^5*T2^11 + 183*T1^6*T2^11 + 44*T1^7*T2^11 - 348*T1^8*T2^11 + 
     235*T1^9*T2^11 + 235*T1^10*T2^11 - 348*T1^11*T2^11 + 44*T1^12*T2^11 + 
     183*T1^13*T2^11 - 124*T1^14*T2^11 + 32*T1^15*T2^11 - 2*T1^16*T2^11 - 
     6*T1^4*T2^12 + 32*T1^5*T2^12 + 9*T1^6*T2^12 - 235*T1^7*T2^12 + 
     390*T1^8*T2^12 + 44*T1^9*T2^12 - 384*T1^10*T2^12 + 44*T1^11*T2^12 + 
     390*T1^12*T2^12 - 235*T1^13*T2^12 + 9*T1^14*T2^12 + 32*T1^15*T2^12 - 
     6*T1^16*T2^12 - 2*T1^5*T2^13 - 40*T1^6*T2^13 + 128*T1^7*T2^13 - 
     88*T1^8*T2^13 - 235*T1^9*T2^13 + 183*T1^10*T2^13 + 183*T1^11*T2^13 - 
     235*T1^12*T2^13 - 88*T1^13*T2^13 + 128*T1^14*T2^13 - 40*T1^15*T2^13 - 
     2*T1^16*T2^13 + 12*T1^6*T2^14 - 16*T1^7*T2^14 - 42*T1^8*T2^14 + 
     128*T1^9*T2^14 + 9*T1^10*T2^14 - 124*T1^11*T2^14 + 9*T1^12*T2^14 + 
     128*T1^13*T2^14 - 42*T1^14*T2^14 - 16*T1^15*T2^14 + 12*T1^16*T2^14 - 
     8*T1^7*T2^15 + 24*T1^8*T2^15 - 16*T1^9*T2^15 - 40*T1^10*T2^15 + 
     32*T1^11*T2^15 + 32*T1^12*T2^15 - 40*T1^13*T2^15 - 16*T1^14*T2^15 + 
     24*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)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 698] -> 
  {-((2 - 12*T + 25*T^2 - 31*T^3 + 25*T^4 - 12*T^5 + 2*T^6)/T^3), 
   (17 - 101*T1 + 209*T1^2 - 259*T1^3 + 209*T1^4 - 101*T1^5 + 17*T1^6 - 
     101*T2 + 506*T1*T2 - 639*T1^2*T2 + 293*T1^3*T2 + 293*T1^4*T2 - 
     639*T1^5*T2 + 506*T1^6*T2 - 101*T1^7*T2 + 209*T2^2 - 639*T1*T2^2 - 
     926*T1^2*T2^2 + 3193*T1^3*T2^2 - 4274*T1^4*T2^2 + 3193*T1^5*T2^2 - 
     926*T1^6*T2^2 - 639*T1^7*T2^2 + 209*T1^8*T2^2 - 259*T2^3 + 293*T1*T2^3 + 
     3193*T1^2*T2^3 - 4500*T1^3*T2^3 + 2138*T1^4*T2^3 + 2138*T1^5*T2^3 - 
     4500*T1^6*T2^3 + 3193*T1^7*T2^3 + 293*T1^8*T2^3 - 259*T1^9*T2^3 + 
     209*T2^4 + 293*T1*T2^4 - 4274*T1^2*T2^4 + 2138*T1^3*T2^4 + 
     2286*T1^4*T2^4 - 4686*T1^5*T2^4 + 2286*T1^6*T2^4 + 2138*T1^7*T2^4 - 
     4274*T1^8*T2^4 + 293*T1^9*T2^4 + 209*T1^10*T2^4 - 101*T2^5 - 
     639*T1*T2^5 + 3193*T1^2*T2^5 + 2138*T1^3*T2^5 - 4686*T1^4*T2^5 + 
     2550*T1^5*T2^5 + 2550*T1^6*T2^5 - 4686*T1^7*T2^5 + 2138*T1^8*T2^5 + 
     3193*T1^9*T2^5 - 639*T1^10*T2^5 - 101*T1^11*T2^5 + 17*T2^6 + 
     506*T1*T2^6 - 926*T1^2*T2^6 - 4500*T1^3*T2^6 + 2286*T1^4*T2^6 + 
     2550*T1^5*T2^6 - 5400*T1^6*T2^6 + 2550*T1^7*T2^6 + 2286*T1^8*T2^6 - 
     4500*T1^9*T2^6 - 926*T1^10*T2^6 + 506*T1^11*T2^6 + 17*T1^12*T2^6 - 
     101*T1*T2^7 - 639*T1^2*T2^7 + 3193*T1^3*T2^7 + 2138*T1^4*T2^7 - 
     4686*T1^5*T2^7 + 2550*T1^6*T2^7 + 2550*T1^7*T2^7 - 4686*T1^8*T2^7 + 
     2138*T1^9*T2^7 + 3193*T1^10*T2^7 - 639*T1^11*T2^7 - 101*T1^12*T2^7 + 
     209*T1^2*T2^8 + 293*T1^3*T2^8 - 4274*T1^4*T2^8 + 2138*T1^5*T2^8 + 
     2286*T1^6*T2^8 - 4686*T1^7*T2^8 + 2286*T1^8*T2^8 + 2138*T1^9*T2^8 - 
     4274*T1^10*T2^8 + 293*T1^11*T2^8 + 209*T1^12*T2^8 - 259*T1^3*T2^9 + 
     293*T1^4*T2^9 + 3193*T1^5*T2^9 - 4500*T1^6*T2^9 + 2138*T1^7*T2^9 + 
     2138*T1^8*T2^9 - 4500*T1^9*T2^9 + 3193*T1^10*T2^9 + 293*T1^11*T2^9 - 
     259*T1^12*T2^9 + 209*T1^4*T2^10 - 639*T1^5*T2^10 - 926*T1^6*T2^10 + 
     3193*T1^7*T2^10 - 4274*T1^8*T2^10 + 3193*T1^9*T2^10 - 926*T1^10*T2^10 - 
     639*T1^11*T2^10 + 209*T1^12*T2^10 - 101*T1^5*T2^11 + 506*T1^6*T2^11 - 
     639*T1^7*T2^11 + 293*T1^8*T2^11 + 293*T1^9*T2^11 - 639*T1^10*T2^11 + 
     506*T1^11*T2^11 - 101*T1^12*T2^11 + 17*T1^6*T2^12 - 101*T1^7*T2^12 + 
     209*T1^8*T2^12 - 259*T1^9*T2^12 + 209*T1^10*T2^12 - 101*T1^11*T2^12 + 
     17*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 699] -> 
  {-((2 - 12*T + 19*T^2 - 12*T^3 + 2*T^4)/T^2), 
   (9 - 53*T1 + 83*T1^2 - 53*T1^3 + 9*T1^4 - 53*T2 + 296*T1*T2 - 
     198*T1^2*T2 - 198*T1^3*T2 + 296*T1^4*T2 - 53*T1^5*T2 + 83*T2^2 - 
     198*T1*T2^2 - 1392*T1^2*T2^2 + 2568*T1^3*T2^2 - 1392*T1^4*T2^2 - 
     198*T1^5*T2^2 + 83*T1^6*T2^2 - 53*T2^3 - 198*T1*T2^3 + 2568*T1^2*T2^3 - 
     1798*T1^3*T2^3 - 1798*T1^4*T2^3 + 2568*T1^5*T2^3 - 198*T1^6*T2^3 - 
     53*T1^7*T2^3 + 9*T2^4 + 296*T1*T2^4 - 1392*T1^2*T2^4 - 1798*T1^3*T2^4 + 
     4416*T1^4*T2^4 - 1798*T1^5*T2^4 - 1392*T1^6*T2^4 + 296*T1^7*T2^4 + 
     9*T1^8*T2^4 - 53*T1*T2^5 - 198*T1^2*T2^5 + 2568*T1^3*T2^5 - 
     1798*T1^4*T2^5 - 1798*T1^5*T2^5 + 2568*T1^6*T2^5 - 198*T1^7*T2^5 - 
     53*T1^8*T2^5 + 83*T1^2*T2^6 - 198*T1^3*T2^6 - 1392*T1^4*T2^6 + 
     2568*T1^5*T2^6 - 1392*T1^6*T2^6 - 198*T1^7*T2^6 + 83*T1^8*T2^6 - 
     53*T1^3*T2^7 + 296*T1^4*T2^7 - 198*T1^5*T2^7 - 198*T1^6*T2^7 + 
     296*T1^7*T2^7 - 53*T1^8*T2^7 + 9*T1^4*T2^8 - 53*T1^5*T2^8 + 
     83*T1^6*T2^8 - 53*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 700] -> 
  {-((2 - 11*T + 21*T^2 - 25*T^3 + 21*T^4 - 11*T^5 + 2*T^6)/T^3), 
   (17 - 92*T1 + 172*T1^2 - 203*T1^3 + 172*T1^4 - 92*T1^5 + 17*T1^6 - 92*T2 + 
     414*T1*T2 - 440*T1^2*T2 + 172*T1^3*T2 + 172*T1^4*T2 - 440*T1^5*T2 + 
     414*T1^6*T2 - 92*T1^7*T2 + 172*T2^2 - 440*T1*T2^2 - 883*T1^2*T2^2 + 
     2285*T1^3*T2^2 - 2775*T1^4*T2^2 + 2285*T1^5*T2^2 - 883*T1^6*T2^2 - 
     440*T1^7*T2^2 + 172*T1^8*T2^2 - 203*T2^3 + 172*T1*T2^3 + 
     2285*T1^2*T2^3 - 2540*T1^3*T2^3 + 964*T1^4*T2^3 + 964*T1^5*T2^3 - 
     2540*T1^6*T2^3 + 2285*T1^7*T2^3 + 172*T1^8*T2^3 - 203*T1^9*T2^3 + 
     172*T2^4 + 172*T1*T2^4 - 2775*T1^2*T2^4 + 964*T1^3*T2^4 + 
     957*T1^4*T2^4 - 1477*T1^5*T2^4 + 957*T1^6*T2^4 + 964*T1^7*T2^4 - 
     2775*T1^8*T2^4 + 172*T1^9*T2^4 + 172*T1^10*T2^4 - 92*T2^5 - 
     440*T1*T2^5 + 2285*T1^2*T2^5 + 964*T1^3*T2^5 - 1477*T1^4*T2^5 + 
     508*T1^5*T2^5 + 508*T1^6*T2^5 - 1477*T1^7*T2^5 + 964*T1^8*T2^5 + 
     2285*T1^9*T2^5 - 440*T1^10*T2^5 - 92*T1^11*T2^5 + 17*T2^6 + 
     414*T1*T2^6 - 883*T1^2*T2^6 - 2540*T1^3*T2^6 + 957*T1^4*T2^6 + 
     508*T1^5*T2^6 - 840*T1^6*T2^6 + 508*T1^7*T2^6 + 957*T1^8*T2^6 - 
     2540*T1^9*T2^6 - 883*T1^10*T2^6 + 414*T1^11*T2^6 + 17*T1^12*T2^6 - 
     92*T1*T2^7 - 440*T1^2*T2^7 + 2285*T1^3*T2^7 + 964*T1^4*T2^7 - 
     1477*T1^5*T2^7 + 508*T1^6*T2^7 + 508*T1^7*T2^7 - 1477*T1^8*T2^7 + 
     964*T1^9*T2^7 + 2285*T1^10*T2^7 - 440*T1^11*T2^7 - 92*T1^12*T2^7 + 
     172*T1^2*T2^8 + 172*T1^3*T2^8 - 2775*T1^4*T2^8 + 964*T1^5*T2^8 + 
     957*T1^6*T2^8 - 1477*T1^7*T2^8 + 957*T1^8*T2^8 + 964*T1^9*T2^8 - 
     2775*T1^10*T2^8 + 172*T1^11*T2^8 + 172*T1^12*T2^8 - 203*T1^3*T2^9 + 
     172*T1^4*T2^9 + 2285*T1^5*T2^9 - 2540*T1^6*T2^9 + 964*T1^7*T2^9 + 
     964*T1^8*T2^9 - 2540*T1^9*T2^9 + 2285*T1^10*T2^9 + 172*T1^11*T2^9 - 
     203*T1^12*T2^9 + 172*T1^4*T2^10 - 440*T1^5*T2^10 - 883*T1^6*T2^10 + 
     2285*T1^7*T2^10 - 2775*T1^8*T2^10 + 2285*T1^9*T2^10 - 883*T1^10*T2^10 - 
     440*T1^11*T2^10 + 172*T1^12*T2^10 - 92*T1^5*T2^11 + 414*T1^6*T2^11 - 
     440*T1^7*T2^11 + 172*T1^8*T2^11 + 172*T1^9*T2^11 - 440*T1^10*T2^11 + 
     414*T1^11*T2^11 - 92*T1^12*T2^11 + 17*T1^6*T2^12 - 92*T1^7*T2^12 + 
     172*T1^8*T2^12 - 203*T1^9*T2^12 + 172*T1^10*T2^12 - 92*T1^11*T2^12 + 
     17*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 701] -> 
  {-((3 - 16*T + 25*T^2 - 16*T^3 + 3*T^4)/T^2), 
   (36 - 188*T1 + 290*T1^2 - 188*T1^3 + 36*T1^4 - 188*T2 + 826*T1*T2 - 
     551*T1^2*T2 - 551*T1^3*T2 + 826*T1^4*T2 - 188*T1^5*T2 + 290*T2^2 - 
     551*T1*T2^2 - 2889*T1^2*T2^2 + 5531*T1^3*T2^2 - 2889*T1^4*T2^2 - 
     551*T1^5*T2^2 + 290*T1^6*T2^2 - 188*T2^3 - 551*T1*T2^3 + 
     5531*T1^2*T2^3 - 3934*T1^3*T2^3 - 3934*T1^4*T2^3 + 5531*T1^5*T2^3 - 
     551*T1^6*T2^3 - 188*T1^7*T2^3 + 36*T2^4 + 826*T1*T2^4 - 2889*T1^2*T2^4 - 
     3934*T1^3*T2^4 + 9708*T1^4*T2^4 - 3934*T1^5*T2^4 - 2889*T1^6*T2^4 + 
     826*T1^7*T2^4 + 36*T1^8*T2^4 - 188*T1*T2^5 - 551*T1^2*T2^5 + 
     5531*T1^3*T2^5 - 3934*T1^4*T2^5 - 3934*T1^5*T2^5 + 5531*T1^6*T2^5 - 
     551*T1^7*T2^5 - 188*T1^8*T2^5 + 290*T1^2*T2^6 - 551*T1^3*T2^6 - 
     2889*T1^4*T2^6 + 5531*T1^5*T2^6 - 2889*T1^6*T2^6 - 551*T1^7*T2^6 + 
     290*T1^8*T2^6 - 188*T1^3*T2^7 + 826*T1^4*T2^7 - 551*T1^5*T2^7 - 
     551*T1^6*T2^7 + 826*T1^7*T2^7 - 188*T1^8*T2^7 + 36*T1^4*T2^8 - 
     188*T1^5*T2^8 + 290*T1^6*T2^8 - 188*T1^7*T2^8 + 36*T1^8*T2^8)/
    (T1^4*T2^4)}, Knot[12, NonAlternating, 702] -> 
  {-(((-2 + 4*T - 4*T^2 + T^3)*(-1 + 4*T - 4*T^2 + 2*T^3))/T^3), 
   (1 - 6*T1 + 14*T1^2 - 19*T1^3 + 14*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     30*T1*T2 - 47*T1^2*T2 + 29*T1^3*T2 + 29*T1^4*T2 - 47*T1^5*T2 + 
     30*T1^6*T2 - 6*T1^7*T2 + 14*T2^2 - 47*T1*T2^2 - 22*T1^2*T2^2 + 
     184*T1^3*T2^2 - 326*T1^4*T2^2 + 184*T1^5*T2^2 - 22*T1^6*T2^2 - 
     47*T1^7*T2^2 + 14*T1^8*T2^2 - 19*T2^3 + 29*T1*T2^3 + 184*T1^2*T2^3 - 
     346*T1^3*T2^3 + 272*T1^4*T2^3 + 272*T1^5*T2^3 - 346*T1^6*T2^3 + 
     184*T1^7*T2^3 + 29*T1^8*T2^3 - 19*T1^9*T2^3 + 14*T2^4 + 29*T1*T2^4 - 
     326*T1^2*T2^4 + 272*T1^3*T2^4 - 18*T1^4*T2^4 - 516*T1^5*T2^4 - 
     18*T1^6*T2^4 + 272*T1^7*T2^4 - 326*T1^8*T2^4 + 29*T1^9*T2^4 + 
     14*T1^10*T2^4 - 6*T2^5 - 47*T1*T2^5 + 184*T1^2*T2^5 + 272*T1^3*T2^5 - 
     516*T1^4*T2^5 + 592*T1^5*T2^5 + 592*T1^6*T2^5 - 516*T1^7*T2^5 + 
     272*T1^8*T2^5 + 184*T1^9*T2^5 - 47*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     30*T1*T2^6 - 22*T1^2*T2^6 - 346*T1^3*T2^6 - 18*T1^4*T2^6 + 
     592*T1^5*T2^6 - 1608*T1^6*T2^6 + 592*T1^7*T2^6 - 18*T1^8*T2^6 - 
     346*T1^9*T2^6 - 22*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 
     47*T1^2*T2^7 + 184*T1^3*T2^7 + 272*T1^4*T2^7 - 516*T1^5*T2^7 + 
     592*T1^6*T2^7 + 592*T1^7*T2^7 - 516*T1^8*T2^7 + 272*T1^9*T2^7 + 
     184*T1^10*T2^7 - 47*T1^11*T2^7 - 6*T1^12*T2^7 + 14*T1^2*T2^8 + 
     29*T1^3*T2^8 - 326*T1^4*T2^8 + 272*T1^5*T2^8 - 18*T1^6*T2^8 - 
     516*T1^7*T2^8 - 18*T1^8*T2^8 + 272*T1^9*T2^8 - 326*T1^10*T2^8 + 
     29*T1^11*T2^8 + 14*T1^12*T2^8 - 19*T1^3*T2^9 + 29*T1^4*T2^9 + 
     184*T1^5*T2^9 - 346*T1^6*T2^9 + 272*T1^7*T2^9 + 272*T1^8*T2^9 - 
     346*T1^9*T2^9 + 184*T1^10*T2^9 + 29*T1^11*T2^9 - 19*T1^12*T2^9 + 
     14*T1^4*T2^10 - 47*T1^5*T2^10 - 22*T1^6*T2^10 + 184*T1^7*T2^10 - 
     326*T1^8*T2^10 + 184*T1^9*T2^10 - 22*T1^10*T2^10 - 47*T1^11*T2^10 + 
     14*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 47*T1^7*T2^11 + 
     29*T1^8*T2^11 + 29*T1^9*T2^11 - 47*T1^10*T2^11 + 30*T1^11*T2^11 - 
     6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 14*T1^8*T2^12 - 
     19*T1^9*T2^12 + 14*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   (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 + 40*T1*T2 - 60*T1^2*T2 + 20*T1^3*T2 + 20*T1^6*T2 - 
     60*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 22*T2^2 - 60*T1*T2^2 + 
     13*T1^2*T2^2 + 159*T1^3*T2^2 - 134*T1^4*T2^2 + 93*T1^5*T2^2 - 
     134*T1^6*T2^2 + 159*T1^7*T2^2 + 13*T1^8*T2^2 - 60*T1^9*T2^2 + 
     22*T1^10*T2^2 - 26*T2^3 + 20*T1*T2^3 + 159*T1^2*T2^3 - 364*T1^3*T2^3 + 
     44*T1^4*T2^3 + 38*T1^5*T2^3 + 38*T1^6*T2^3 + 44*T1^7*T2^3 - 
     364*T1^8*T2^3 + 159*T1^9*T2^3 + 20*T1^10*T2^3 - 26*T1^11*T2^3 + 
     26*T2^4 - 134*T1^2*T2^4 + 44*T1^3*T2^4 + 623*T1^4*T2^4 - 486*T1^5*T2^4 + 
     337*T1^6*T2^4 - 486*T1^7*T2^4 + 623*T1^8*T2^4 + 44*T1^9*T2^4 - 
     134*T1^10*T2^4 + 26*T1^12*T2^4 - 26*T2^5 + 93*T1^2*T2^5 + 38*T1^3*T2^5 - 
     486*T1^4*T2^5 - 46*T1^5*T2^5 + 91*T1^6*T2^5 + 91*T1^7*T2^5 - 
     46*T1^8*T2^5 - 486*T1^9*T2^5 + 38*T1^10*T2^5 + 93*T1^11*T2^5 - 
     26*T1^13*T2^5 + 22*T2^6 + 20*T1*T2^6 - 134*T1^2*T2^6 + 38*T1^3*T2^6 + 
     337*T1^4*T2^6 + 91*T1^5*T2^6 + 95*T1^6*T2^6 - 167*T1^7*T2^6 + 
     95*T1^8*T2^6 + 91*T1^9*T2^6 + 337*T1^10*T2^6 + 38*T1^11*T2^6 - 
     134*T1^12*T2^6 + 20*T1^13*T2^6 + 22*T1^14*T2^6 - 10*T2^7 - 60*T1*T2^7 + 
     159*T1^2*T2^7 + 44*T1^3*T2^7 - 486*T1^4*T2^7 + 91*T1^5*T2^7 - 
     167*T1^6*T2^7 + 28*T1^7*T2^7 + 28*T1^8*T2^7 - 167*T1^9*T2^7 + 
     91*T1^10*T2^7 - 486*T1^11*T2^7 + 44*T1^12*T2^7 + 159*T1^13*T2^7 - 
     60*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 + 13*T1^2*T2^8 - 
     364*T1^3*T2^8 + 623*T1^4*T2^8 - 46*T1^5*T2^8 + 95*T1^6*T2^8 + 
     28*T1^7*T2^8 + 24*T1^8*T2^8 + 28*T1^9*T2^8 + 95*T1^10*T2^8 - 
     46*T1^11*T2^8 + 623*T1^12*T2^8 - 364*T1^13*T2^8 + 13*T1^14*T2^8 + 
     40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 60*T1^2*T2^9 + 
     159*T1^3*T2^9 + 44*T1^4*T2^9 - 486*T1^5*T2^9 + 91*T1^6*T2^9 - 
     167*T1^7*T2^9 + 28*T1^8*T2^9 + 28*T1^9*T2^9 - 167*T1^10*T2^9 + 
     91*T1^11*T2^9 - 486*T1^12*T2^9 + 44*T1^13*T2^9 + 159*T1^14*T2^9 - 
     60*T1^15*T2^9 - 10*T1^16*T2^9 + 22*T1^2*T2^10 + 20*T1^3*T2^10 - 
     134*T1^4*T2^10 + 38*T1^5*T2^10 + 337*T1^6*T2^10 + 91*T1^7*T2^10 + 
     95*T1^8*T2^10 - 167*T1^9*T2^10 + 95*T1^10*T2^10 + 91*T1^11*T2^10 + 
     337*T1^12*T2^10 + 38*T1^13*T2^10 - 134*T1^14*T2^10 + 20*T1^15*T2^10 + 
     22*T1^16*T2^10 - 26*T1^3*T2^11 + 93*T1^5*T2^11 + 38*T1^6*T2^11 - 
     486*T1^7*T2^11 - 46*T1^8*T2^11 + 91*T1^9*T2^11 + 91*T1^10*T2^11 - 
     46*T1^11*T2^11 - 486*T1^12*T2^11 + 38*T1^13*T2^11 + 93*T1^14*T2^11 - 
     26*T1^16*T2^11 + 26*T1^4*T2^12 - 134*T1^6*T2^12 + 44*T1^7*T2^12 + 
     623*T1^8*T2^12 - 486*T1^9*T2^12 + 337*T1^10*T2^12 - 486*T1^11*T2^12 + 
     623*T1^12*T2^12 + 44*T1^13*T2^12 - 134*T1^14*T2^12 + 26*T1^16*T2^12 - 
     26*T1^5*T2^13 + 20*T1^6*T2^13 + 159*T1^7*T2^13 - 364*T1^8*T2^13 + 
     44*T1^9*T2^13 + 38*T1^10*T2^13 + 38*T1^11*T2^13 + 44*T1^12*T2^13 - 
     364*T1^13*T2^13 + 159*T1^14*T2^13 + 20*T1^15*T2^13 - 26*T1^16*T2^13 + 
     22*T1^6*T2^14 - 60*T1^7*T2^14 + 13*T1^8*T2^14 + 159*T1^9*T2^14 - 
     134*T1^10*T2^14 + 93*T1^11*T2^14 - 134*T1^12*T2^14 + 159*T1^13*T2^14 + 
     13*T1^14*T2^14 - 60*T1^15*T2^14 + 22*T1^16*T2^14 - 10*T1^7*T2^15 + 
     40*T1^8*T2^15 - 60*T1^9*T2^15 + 20*T1^10*T2^15 + 20*T1^13*T2^15 - 
     60*T1^14*T2^15 + 40*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)/
    (T1^8*T2^8)}, Knot[12, NonAlternating, 704] -> 
  {(4 - 15*T + 23*T^2 - 15*T^3 + 4*T^4)/T^2, 
   -((24 - 91*T1 + 142*T1^2 - 91*T1^3 + 24*T1^4 - 91*T2 + 250*T1*T2 - 
      193*T1^2*T2 - 193*T1^3*T2 + 250*T1^4*T2 - 91*T1^5*T2 + 142*T2^2 - 
      193*T1*T2^2 - 253*T1^2*T2^2 + 865*T1^3*T2^2 - 253*T1^4*T2^2 - 
      193*T1^5*T2^2 + 142*T1^6*T2^2 - 91*T2^3 - 193*T1*T2^3 + 865*T1^2*T2^3 - 
      852*T1^3*T2^3 - 852*T1^4*T2^3 + 865*T1^5*T2^3 - 193*T1^6*T2^3 - 
      91*T1^7*T2^3 + 24*T2^4 + 250*T1*T2^4 - 253*T1^2*T2^4 - 852*T1^3*T2^4 + 
      2352*T1^4*T2^4 - 852*T1^5*T2^4 - 253*T1^6*T2^4 + 250*T1^7*T2^4 + 
      24*T1^8*T2^4 - 91*T1*T2^5 - 193*T1^2*T2^5 + 865*T1^3*T2^5 - 
      852*T1^4*T2^5 - 852*T1^5*T2^5 + 865*T1^6*T2^5 - 193*T1^7*T2^5 - 
      91*T1^8*T2^5 + 142*T1^2*T2^6 - 193*T1^3*T2^6 - 253*T1^4*T2^6 + 
      865*T1^5*T2^6 - 253*T1^6*T2^6 - 193*T1^7*T2^6 + 142*T1^8*T2^6 - 
      91*T1^3*T2^7 + 250*T1^4*T2^7 - 193*T1^5*T2^7 - 193*T1^6*T2^7 + 
      250*T1^7*T2^7 - 91*T1^8*T2^7 + 24*T1^4*T2^8 - 91*T1^5*T2^8 + 
      142*T1^6*T2^8 - 91*T1^7*T2^8 + 24*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, NonAlternating, 705] -> 
  {-((1 - 9*T + 26*T^2 - 37*T^3 + 26*T^4 - 9*T^5 + T^6)/T^3), 
   -((2 - 5*T1 + 5*T1^2 + 5*T1^3 - 5*T1^4 + 2*T1^5 - 5*T2 - 48*T1*T2 + 
      200*T1^2*T2 - 344*T1^3*T2 + 200*T1^4*T2 - 48*T1^5*T2 - 5*T1^6*T2 + 
      5*T2^2 + 200*T1*T2^2 - 530*T1^2*T2^2 + 457*T1^3*T2^2 + 457*T1^4*T2^2 - 
      530*T1^5*T2^2 + 200*T1^6*T2^2 + 5*T1^7*T2^2 + 5*T2^3 - 344*T1*T2^3 + 
      457*T1^2*T2^3 + 400*T1^3*T2^3 - 1824*T1^4*T2^3 + 400*T1^5*T2^3 + 
      457*T1^6*T2^3 - 344*T1^7*T2^3 + 5*T1^8*T2^3 - 5*T2^4 + 200*T1*T2^4 + 
      457*T1^2*T2^4 - 1824*T1^3*T2^4 + 1910*T1^4*T2^4 + 1910*T1^5*T2^4 - 
      1824*T1^6*T2^4 + 457*T1^7*T2^4 + 200*T1^8*T2^4 - 5*T1^9*T2^4 + 2*T2^5 - 
      48*T1*T2^5 - 530*T1^2*T2^5 + 400*T1^3*T2^5 + 1910*T1^4*T2^5 - 
      5280*T1^5*T2^5 + 1910*T1^6*T2^5 + 400*T1^7*T2^5 - 530*T1^8*T2^5 - 
      48*T1^9*T2^5 + 2*T1^10*T2^5 - 5*T1*T2^6 + 200*T1^2*T2^6 + 
      457*T1^3*T2^6 - 1824*T1^4*T2^6 + 1910*T1^5*T2^6 + 1910*T1^6*T2^6 - 
      1824*T1^7*T2^6 + 457*T1^8*T2^6 + 200*T1^9*T2^6 - 5*T1^10*T2^6 + 
      5*T1^2*T2^7 - 344*T1^3*T2^7 + 457*T1^4*T2^7 + 400*T1^5*T2^7 - 
      1824*T1^6*T2^7 + 400*T1^7*T2^7 + 457*T1^8*T2^7 - 344*T1^9*T2^7 + 
      5*T1^10*T2^7 + 5*T1^3*T2^8 + 200*T1^4*T2^8 - 530*T1^5*T2^8 + 
      457*T1^6*T2^8 + 457*T1^7*T2^8 - 530*T1^8*T2^8 + 200*T1^9*T2^8 + 
      5*T1^10*T2^8 - 5*T1^4*T2^9 - 48*T1^5*T2^9 + 200*T1^6*T2^9 - 
      344*T1^7*T2^9 + 200*T1^8*T2^9 - 48*T1^9*T2^9 - 5*T1^10*T2^9 + 
      2*T1^5*T2^10 - 5*T1^6*T2^10 + 5*T1^7*T2^10 + 5*T1^8*T2^10 - 
      5*T1^9*T2^10 + 2*T1^10*T2^10)/(T1^5*T2^5))}, 
 Knot[12, NonAlternating, 706] -> {(1 - 2*T + T^2 - 2*T^3 + T^4)^2/T^4, 0}, 
 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 + 24*T1*T2 - 56*T1^2*T2 + 48*T1^3*T2 - 16*T1^4*T2 - 
      16*T1^5*T2 + 48*T1^6*T2 - 56*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 
      22*T2^2 - 56*T1*T2^2 + 143*T1^2*T2^2 - 124*T1^3*T2^2 + 136*T1^4*T2^2 - 
      163*T1^5*T2^2 + 136*T1^6*T2^2 - 124*T1^7*T2^2 + 143*T1^8*T2^2 - 
      56*T1^9*T2^2 + 22*T1^10*T2^2 - 34*T2^3 + 48*T1*T2^3 - 124*T1^2*T2^3 - 
      60*T1^3*T2^3 + 7*T1^4*T2^3 + 35*T1^5*T2^3 + 35*T1^6*T2^3 + 
      7*T1^7*T2^3 - 60*T1^8*T2^3 - 124*T1^9*T2^3 + 48*T1^10*T2^3 - 
      34*T1^11*T2^3 + 38*T2^4 - 16*T1*T2^4 + 136*T1^2*T2^4 + 7*T1^3*T2^4 + 
      590*T1^4*T2^4 - 866*T1^5*T2^4 + 834*T1^6*T2^4 - 866*T1^7*T2^4 + 
      590*T1^8*T2^4 + 7*T1^9*T2^4 + 136*T1^10*T2^4 - 16*T1^11*T2^4 + 
      38*T1^12*T2^4 - 34*T2^5 - 16*T1*T2^5 - 163*T1^2*T2^5 + 35*T1^3*T2^5 - 
      866*T1^4*T2^5 + 562*T1^5*T2^5 - 86*T1^6*T2^5 - 86*T1^7*T2^5 + 
      562*T1^8*T2^5 - 866*T1^9*T2^5 + 35*T1^10*T2^5 - 163*T1^11*T2^5 - 
      16*T1^12*T2^5 - 34*T1^13*T2^5 + 22*T2^6 + 48*T1*T2^6 + 136*T1^2*T2^6 + 
      35*T1^3*T2^6 + 834*T1^4*T2^6 - 86*T1^5*T2^6 - 22*T1^6*T2^6 - 
      224*T1^7*T2^6 - 22*T1^8*T2^6 - 86*T1^9*T2^6 + 834*T1^10*T2^6 + 
      35*T1^11*T2^6 + 136*T1^12*T2^6 + 48*T1^13*T2^6 + 22*T1^14*T2^6 - 
      8*T2^7 - 56*T1*T2^7 - 124*T1^2*T2^7 + 7*T1^3*T2^7 - 866*T1^4*T2^7 - 
      86*T1^5*T2^7 - 224*T1^6*T2^7 + 276*T1^7*T2^7 + 276*T1^8*T2^7 - 
      224*T1^9*T2^7 - 86*T1^10*T2^7 - 866*T1^11*T2^7 + 7*T1^12*T2^7 - 
      124*T1^13*T2^7 - 56*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 24*T1*T2^8 + 
      143*T1^2*T2^8 - 60*T1^3*T2^8 + 590*T1^4*T2^8 + 562*T1^5*T2^8 - 
      22*T1^6*T2^8 + 276*T1^7*T2^8 - 696*T1^8*T2^8 + 276*T1^9*T2^8 - 
      22*T1^10*T2^8 + 562*T1^11*T2^8 + 590*T1^12*T2^8 - 60*T1^13*T2^8 + 
      143*T1^14*T2^8 + 24*T1^15*T2^8 + 2*T1^16*T2^8 - 8*T1*T2^9 - 
      56*T1^2*T2^9 - 124*T1^3*T2^9 + 7*T1^4*T2^9 - 866*T1^5*T2^9 - 
      86*T1^6*T2^9 - 224*T1^7*T2^9 + 276*T1^8*T2^9 + 276*T1^9*T2^9 - 
      224*T1^10*T2^9 - 86*T1^11*T2^9 - 866*T1^12*T2^9 + 7*T1^13*T2^9 - 
      124*T1^14*T2^9 - 56*T1^15*T2^9 - 8*T1^16*T2^9 + 22*T1^2*T2^10 + 
      48*T1^3*T2^10 + 136*T1^4*T2^10 + 35*T1^5*T2^10 + 834*T1^6*T2^10 - 
      86*T1^7*T2^10 - 22*T1^8*T2^10 - 224*T1^9*T2^10 - 22*T1^10*T2^10 - 
      86*T1^11*T2^10 + 834*T1^12*T2^10 + 35*T1^13*T2^10 + 136*T1^14*T2^10 + 
      48*T1^15*T2^10 + 22*T1^16*T2^10 - 34*T1^3*T2^11 - 16*T1^4*T2^11 - 
      163*T1^5*T2^11 + 35*T1^6*T2^11 - 866*T1^7*T2^11 + 562*T1^8*T2^11 - 
      86*T1^9*T2^11 - 86*T1^10*T2^11 + 562*T1^11*T2^11 - 866*T1^12*T2^11 + 
      35*T1^13*T2^11 - 163*T1^14*T2^11 - 16*T1^15*T2^11 - 34*T1^16*T2^11 + 
      38*T1^4*T2^12 - 16*T1^5*T2^12 + 136*T1^6*T2^12 + 7*T1^7*T2^12 + 
      590*T1^8*T2^12 - 866*T1^9*T2^12 + 834*T1^10*T2^12 - 866*T1^11*T2^12 + 
      590*T1^12*T2^12 + 7*T1^13*T2^12 + 136*T1^14*T2^12 - 16*T1^15*T2^12 + 
      38*T1^16*T2^12 - 34*T1^5*T2^13 + 48*T1^6*T2^13 - 124*T1^7*T2^13 - 
      60*T1^8*T2^13 + 7*T1^9*T2^13 + 35*T1^10*T2^13 + 35*T1^11*T2^13 + 
      7*T1^12*T2^13 - 60*T1^13*T2^13 - 124*T1^14*T2^13 + 48*T1^15*T2^13 - 
      34*T1^16*T2^13 + 22*T1^6*T2^14 - 56*T1^7*T2^14 + 143*T1^8*T2^14 - 
      124*T1^9*T2^14 + 136*T1^10*T2^14 - 163*T1^11*T2^14 + 136*T1^12*T2^14 - 
      124*T1^13*T2^14 + 143*T1^14*T2^14 - 56*T1^15*T2^14 + 22*T1^16*T2^14 - 
      8*T1^7*T2^15 + 24*T1^8*T2^15 - 56*T1^9*T2^15 + 48*T1^10*T2^15 - 
      16*T1^11*T2^15 - 16*T1^12*T2^15 + 48*T1^13*T2^15 - 56*T1^14*T2^15 + 
      24*T1^15*T2^15 - 8*T1^16*T2^15 + 2*T1^8*T2^16 - 8*T1^9*T2^16 + 
      22*T1^10*T2^16 - 34*T1^11*T2^16 + 38*T1^12*T2^16 - 34*T1^13*T2^16 + 
      22*T1^14*T2^16 - 8*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 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, 
   (1 - 4*T1 + 11*T1^2 - 15*T1^3 + 11*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 
     10*T1*T2 - 21*T1^2*T2 + 11*T1^3*T2 + 11*T1^4*T2 - 21*T1^5*T2 + 
     10*T1^6*T2 - 4*T1^7*T2 + 11*T2^2 - 21*T1*T2^2 + 47*T1^2*T2^2 - 
     29*T1^3*T2^2 + 21*T1^4*T2^2 - 29*T1^5*T2^2 + 47*T1^6*T2^2 - 
     21*T1^7*T2^2 + 11*T1^8*T2^2 - 15*T2^3 + 11*T1*T2^3 - 29*T1^2*T2^3 - 
     24*T1^3*T2^3 + 6*T1^4*T2^3 + 6*T1^5*T2^3 - 24*T1^6*T2^3 - 29*T1^7*T2^3 + 
     11*T1^8*T2^3 - 15*T1^9*T2^3 + 11*T2^4 + 11*T1*T2^4 + 21*T1^2*T2^4 + 
     6*T1^3*T2^4 + 99*T1^4*T2^4 - 101*T1^5*T2^4 + 99*T1^6*T2^4 + 
     6*T1^7*T2^4 + 21*T1^8*T2^4 + 11*T1^9*T2^4 + 11*T1^10*T2^4 - 4*T2^5 - 
     21*T1*T2^5 - 29*T1^2*T2^5 + 6*T1^3*T2^5 - 101*T1^4*T2^5 + 8*T1^5*T2^5 + 
     8*T1^6*T2^5 - 101*T1^7*T2^5 + 6*T1^8*T2^5 - 29*T1^9*T2^5 - 
     21*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 10*T1*T2^6 + 47*T1^2*T2^6 - 
     24*T1^3*T2^6 + 99*T1^4*T2^6 + 8*T1^5*T2^6 + 36*T1^6*T2^6 + 8*T1^7*T2^6 + 
     99*T1^8*T2^6 - 24*T1^9*T2^6 + 47*T1^10*T2^6 + 10*T1^11*T2^6 + 
     T1^12*T2^6 - 4*T1*T2^7 - 21*T1^2*T2^7 - 29*T1^3*T2^7 + 6*T1^4*T2^7 - 
     101*T1^5*T2^7 + 8*T1^6*T2^7 + 8*T1^7*T2^7 - 101*T1^8*T2^7 + 
     6*T1^9*T2^7 - 29*T1^10*T2^7 - 21*T1^11*T2^7 - 4*T1^12*T2^7 + 
     11*T1^2*T2^8 + 11*T1^3*T2^8 + 21*T1^4*T2^8 + 6*T1^5*T2^8 + 
     99*T1^6*T2^8 - 101*T1^7*T2^8 + 99*T1^8*T2^8 + 6*T1^9*T2^8 + 
     21*T1^10*T2^8 + 11*T1^11*T2^8 + 11*T1^12*T2^8 - 15*T1^3*T2^9 + 
     11*T1^4*T2^9 - 29*T1^5*T2^9 - 24*T1^6*T2^9 + 6*T1^7*T2^9 + 6*T1^8*T2^9 - 
     24*T1^9*T2^9 - 29*T1^10*T2^9 + 11*T1^11*T2^9 - 15*T1^12*T2^9 + 
     11*T1^4*T2^10 - 21*T1^5*T2^10 + 47*T1^6*T2^10 - 29*T1^7*T2^10 + 
     21*T1^8*T2^10 - 29*T1^9*T2^10 + 47*T1^10*T2^10 - 21*T1^11*T2^10 + 
     11*T1^12*T2^10 - 4*T1^5*T2^11 + 10*T1^6*T2^11 - 21*T1^7*T2^11 + 
     11*T1^8*T2^11 + 11*T1^9*T2^11 - 21*T1^10*T2^11 + 10*T1^11*T2^11 - 
     4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 11*T1^8*T2^12 - 
     15*T1^9*T2^12 + 11*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   (2 - 7*T1 + 15*T1^2 - 18*T1^3 + 15*T1^4 - 7*T1^5 + 2*T1^6 - 7*T2 + 
     18*T1*T2 - 29*T1^2*T2 + 11*T1^3*T2 + 11*T1^4*T2 - 29*T1^5*T2 + 
     18*T1^6*T2 - 7*T1^7*T2 + 15*T2^2 - 29*T1*T2^2 + 41*T1^2*T2^2 + 
     4*T1^3*T2^2 - 5*T1^4*T2^2 + 4*T1^5*T2^2 + 41*T1^6*T2^2 - 29*T1^7*T2^2 + 
     15*T1^8*T2^2 - 18*T2^3 + 11*T1*T2^3 + 4*T1^2*T2^3 - 82*T1^3*T2^3 + 
     7*T1^4*T2^3 + 7*T1^5*T2^3 - 82*T1^6*T2^3 + 4*T1^7*T2^3 + 11*T1^8*T2^3 - 
     18*T1^9*T2^3 + 15*T2^4 + 11*T1*T2^4 - 5*T1^2*T2^4 + 7*T1^3*T2^4 + 
     201*T1^4*T2^4 - 155*T1^5*T2^4 + 201*T1^6*T2^4 + 7*T1^7*T2^4 - 
     5*T1^8*T2^4 + 11*T1^9*T2^4 + 15*T1^10*T2^4 - 7*T2^5 - 29*T1*T2^5 + 
     4*T1^2*T2^5 + 7*T1^3*T2^5 - 155*T1^4*T2^5 - 40*T1^5*T2^5 - 
     40*T1^6*T2^5 - 155*T1^7*T2^5 + 7*T1^8*T2^5 + 4*T1^9*T2^5 - 
     29*T1^10*T2^5 - 7*T1^11*T2^5 + 2*T2^6 + 18*T1*T2^6 + 41*T1^2*T2^6 - 
     82*T1^3*T2^6 + 201*T1^4*T2^6 - 40*T1^5*T2^6 + 216*T1^6*T2^6 - 
     40*T1^7*T2^6 + 201*T1^8*T2^6 - 82*T1^9*T2^6 + 41*T1^10*T2^6 + 
     18*T1^11*T2^6 + 2*T1^12*T2^6 - 7*T1*T2^7 - 29*T1^2*T2^7 + 4*T1^3*T2^7 + 
     7*T1^4*T2^7 - 155*T1^5*T2^7 - 40*T1^6*T2^7 - 40*T1^7*T2^7 - 
     155*T1^8*T2^7 + 7*T1^9*T2^7 + 4*T1^10*T2^7 - 29*T1^11*T2^7 - 
     7*T1^12*T2^7 + 15*T1^2*T2^8 + 11*T1^3*T2^8 - 5*T1^4*T2^8 + 7*T1^5*T2^8 + 
     201*T1^6*T2^8 - 155*T1^7*T2^8 + 201*T1^8*T2^8 + 7*T1^9*T2^8 - 
     5*T1^10*T2^8 + 11*T1^11*T2^8 + 15*T1^12*T2^8 - 18*T1^3*T2^9 + 
     11*T1^4*T2^9 + 4*T1^5*T2^9 - 82*T1^6*T2^9 + 7*T1^7*T2^9 + 7*T1^8*T2^9 - 
     82*T1^9*T2^9 + 4*T1^10*T2^9 + 11*T1^11*T2^9 - 18*T1^12*T2^9 + 
     15*T1^4*T2^10 - 29*T1^5*T2^10 + 41*T1^6*T2^10 + 4*T1^7*T2^10 - 
     5*T1^8*T2^10 + 4*T1^9*T2^10 + 41*T1^10*T2^10 - 29*T1^11*T2^10 + 
     15*T1^12*T2^10 - 7*T1^5*T2^11 + 18*T1^6*T2^11 - 29*T1^7*T2^11 + 
     11*T1^8*T2^11 + 11*T1^9*T2^11 - 29*T1^10*T2^11 + 18*T1^11*T2^11 - 
     7*T1^12*T2^11 + 2*T1^6*T2^12 - 7*T1^7*T2^12 + 15*T1^8*T2^12 - 
     18*T1^9*T2^12 + 15*T1^10*T2^12 - 7*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 710] -> 
  {(2 - 10*T + 22*T^2 - 27*T^3 + 22*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (7 - 36*T1 + 79*T1^2 - 97*T1^3 + 79*T1^4 - 36*T1^5 + 7*T1^6 - 36*T2 + 
     146*T1*T2 - 213*T1^2*T2 + 85*T1^3*T2 + 85*T1^4*T2 - 213*T1^5*T2 + 
     146*T1^6*T2 - 36*T1^7*T2 + 79*T2^2 - 213*T1*T2^2 + 21*T1^2*T2^2 + 
     544*T1^3*T2^2 - 675*T1^4*T2^2 + 544*T1^5*T2^2 + 21*T1^6*T2^2 - 
     213*T1^7*T2^2 + 79*T1^8*T2^2 - 97*T2^3 + 85*T1*T2^3 + 544*T1^2*T2^3 - 
     1152*T1^3*T2^3 + 338*T1^4*T2^3 + 338*T1^5*T2^3 - 1152*T1^6*T2^3 + 
     544*T1^7*T2^3 + 85*T1^8*T2^3 - 97*T1^9*T2^3 + 79*T2^4 + 85*T1*T2^4 - 
     675*T1^2*T2^4 + 338*T1^3*T2^4 + 1657*T1^4*T2^4 - 1829*T1^5*T2^4 + 
     1657*T1^6*T2^4 + 338*T1^7*T2^4 - 675*T1^8*T2^4 + 85*T1^9*T2^4 + 
     79*T1^10*T2^4 - 36*T2^5 - 213*T1*T2^5 + 544*T1^2*T2^5 + 338*T1^3*T2^5 - 
     1829*T1^4*T2^5 + 356*T1^5*T2^5 + 356*T1^6*T2^5 - 1829*T1^7*T2^5 + 
     338*T1^8*T2^5 + 544*T1^9*T2^5 - 213*T1^10*T2^5 - 36*T1^11*T2^5 + 
     7*T2^6 + 146*T1*T2^6 + 21*T1^2*T2^6 - 1152*T1^3*T2^6 + 1657*T1^4*T2^6 + 
     356*T1^5*T2^6 - 168*T1^6*T2^6 + 356*T1^7*T2^6 + 1657*T1^8*T2^6 - 
     1152*T1^9*T2^6 + 21*T1^10*T2^6 + 146*T1^11*T2^6 + 7*T1^12*T2^6 - 
     36*T1*T2^7 - 213*T1^2*T2^7 + 544*T1^3*T2^7 + 338*T1^4*T2^7 - 
     1829*T1^5*T2^7 + 356*T1^6*T2^7 + 356*T1^7*T2^7 - 1829*T1^8*T2^7 + 
     338*T1^9*T2^7 + 544*T1^10*T2^7 - 213*T1^11*T2^7 - 36*T1^12*T2^7 + 
     79*T1^2*T2^8 + 85*T1^3*T2^8 - 675*T1^4*T2^8 + 338*T1^5*T2^8 + 
     1657*T1^6*T2^8 - 1829*T1^7*T2^8 + 1657*T1^8*T2^8 + 338*T1^9*T2^8 - 
     675*T1^10*T2^8 + 85*T1^11*T2^8 + 79*T1^12*T2^8 - 97*T1^3*T2^9 + 
     85*T1^4*T2^9 + 544*T1^5*T2^9 - 1152*T1^6*T2^9 + 338*T1^7*T2^9 + 
     338*T1^8*T2^9 - 1152*T1^9*T2^9 + 544*T1^10*T2^9 + 85*T1^11*T2^9 - 
     97*T1^12*T2^9 + 79*T1^4*T2^10 - 213*T1^5*T2^10 + 21*T1^6*T2^10 + 
     544*T1^7*T2^10 - 675*T1^8*T2^10 + 544*T1^9*T2^10 + 21*T1^10*T2^10 - 
     213*T1^11*T2^10 + 79*T1^12*T2^10 - 36*T1^5*T2^11 + 146*T1^6*T2^11 - 
     213*T1^7*T2^11 + 85*T1^8*T2^11 + 85*T1^9*T2^11 - 213*T1^10*T2^11 + 
     146*T1^11*T2^11 - 36*T1^12*T2^11 + 7*T1^6*T2^12 - 36*T1^7*T2^12 + 
     79*T1^8*T2^12 - 97*T1^9*T2^12 + 79*T1^10*T2^12 - 36*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, 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, 
   -((3 - 10*T1 + 13*T1^2 - 11*T1^3 + 13*T1^4 - 10*T1^5 + 3*T1^6 - 10*T2 + 
      20*T1*T2 + T1^2*T2 - 14*T1^3*T2 - 14*T1^4*T2 + T1^5*T2 + 20*T1^6*T2 - 
      10*T1^7*T2 + 13*T2^2 + T1*T2^2 - 66*T1^2*T2^2 + 30*T1^3*T2^2 + 
      52*T1^4*T2^2 + 30*T1^5*T2^2 - 66*T1^6*T2^2 + T1^7*T2^2 + 13*T1^8*T2^2 - 
      11*T2^3 - 14*T1*T2^3 + 30*T1^2*T2^3 + 136*T1^3*T2^3 - 130*T1^4*T2^3 - 
      130*T1^5*T2^3 + 136*T1^6*T2^3 + 30*T1^7*T2^3 - 14*T1^8*T2^3 - 
      11*T1^9*T2^3 + 13*T2^4 - 14*T1*T2^4 + 52*T1^2*T2^4 - 130*T1^3*T2^4 - 
      198*T1^4*T2^4 + 448*T1^5*T2^4 - 198*T1^6*T2^4 - 130*T1^7*T2^4 + 
      52*T1^8*T2^4 - 14*T1^9*T2^4 + 13*T1^10*T2^4 - 10*T2^5 + T1*T2^5 + 
      30*T1^2*T2^5 - 130*T1^3*T2^5 + 448*T1^4*T2^5 - 234*T1^5*T2^5 - 
      234*T1^6*T2^5 + 448*T1^7*T2^5 - 130*T1^8*T2^5 + 30*T1^9*T2^5 + 
      T1^10*T2^5 - 10*T1^11*T2^5 + 3*T2^6 + 20*T1*T2^6 - 66*T1^2*T2^6 + 
      136*T1^3*T2^6 - 198*T1^4*T2^6 - 234*T1^5*T2^6 + 420*T1^6*T2^6 - 
      234*T1^7*T2^6 - 198*T1^8*T2^6 + 136*T1^9*T2^6 - 66*T1^10*T2^6 + 
      20*T1^11*T2^6 + 3*T1^12*T2^6 - 10*T1*T2^7 + T1^2*T2^7 + 30*T1^3*T2^7 - 
      130*T1^4*T2^7 + 448*T1^5*T2^7 - 234*T1^6*T2^7 - 234*T1^7*T2^7 + 
      448*T1^8*T2^7 - 130*T1^9*T2^7 + 30*T1^10*T2^7 + T1^11*T2^7 - 
      10*T1^12*T2^7 + 13*T1^2*T2^8 - 14*T1^3*T2^8 + 52*T1^4*T2^8 - 
      130*T1^5*T2^8 - 198*T1^6*T2^8 + 448*T1^7*T2^8 - 198*T1^8*T2^8 - 
      130*T1^9*T2^8 + 52*T1^10*T2^8 - 14*T1^11*T2^8 + 13*T1^12*T2^8 - 
      11*T1^3*T2^9 - 14*T1^4*T2^9 + 30*T1^5*T2^9 + 136*T1^6*T2^9 - 
      130*T1^7*T2^9 - 130*T1^8*T2^9 + 136*T1^9*T2^9 + 30*T1^10*T2^9 - 
      14*T1^11*T2^9 - 11*T1^12*T2^9 + 13*T1^4*T2^10 + T1^5*T2^10 - 
      66*T1^6*T2^10 + 30*T1^7*T2^10 + 52*T1^8*T2^10 + 30*T1^9*T2^10 - 
      66*T1^10*T2^10 + T1^11*T2^10 + 13*T1^12*T2^10 - 10*T1^5*T2^11 + 
      20*T1^6*T2^11 + T1^7*T2^11 - 14*T1^8*T2^11 - 14*T1^9*T2^11 + 
      T1^10*T2^11 + 20*T1^11*T2^11 - 10*T1^12*T2^11 + 3*T1^6*T2^12 - 
      10*T1^7*T2^12 + 13*T1^8*T2^12 - 11*T1^9*T2^12 + 13*T1^10*T2^12 - 
      10*T1^11*T2^12 + 3*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 712] -> 
  {(3 - 13*T + 27*T^2 - 33*T^3 + 27*T^4 - 13*T^5 + 3*T^6)/T^3, 
   -((30 - 129*T1 + 263*T1^2 - 318*T1^3 + 263*T1^4 - 129*T1^5 + 30*T1^6 - 
      129*T2 + 426*T1*T2 - 579*T1^2*T2 + 238*T1^3*T2 + 238*T1^4*T2 - 
      579*T1^5*T2 + 426*T1^6*T2 - 129*T1^7*T2 + 263*T2^2 - 579*T1*T2^2 + 
      170*T1^2*T2^2 + 1046*T1^3*T2^2 - 1436*T1^4*T2^2 + 1046*T1^5*T2^2 + 
      170*T1^6*T2^2 - 579*T1^7*T2^2 + 263*T1^8*T2^2 - 318*T2^3 + 
      238*T1*T2^3 + 1046*T1^2*T2^3 - 2322*T1^3*T2^3 + 890*T1^4*T2^3 + 
      890*T1^5*T2^3 - 2322*T1^6*T2^3 + 1046*T1^7*T2^3 + 238*T1^8*T2^3 - 
      318*T1^9*T2^3 + 263*T2^4 + 238*T1*T2^4 - 1436*T1^2*T2^4 + 
      890*T1^3*T2^4 + 2818*T1^4*T2^4 - 3866*T1^5*T2^4 + 2818*T1^6*T2^4 + 
      890*T1^7*T2^4 - 1436*T1^8*T2^4 + 238*T1^9*T2^4 + 263*T1^10*T2^4 - 
      129*T2^5 - 579*T1*T2^5 + 1046*T1^2*T2^5 + 890*T1^3*T2^5 - 
      3866*T1^4*T2^5 + 1482*T1^5*T2^5 + 1482*T1^6*T2^5 - 3866*T1^7*T2^5 + 
      890*T1^8*T2^5 + 1046*T1^9*T2^5 - 579*T1^10*T2^5 - 129*T1^11*T2^5 + 
      30*T2^6 + 426*T1*T2^6 + 170*T1^2*T2^6 - 2322*T1^3*T2^6 + 
      2818*T1^4*T2^6 + 1482*T1^5*T2^6 - 2652*T1^6*T2^6 + 1482*T1^7*T2^6 + 
      2818*T1^8*T2^6 - 2322*T1^9*T2^6 + 170*T1^10*T2^6 + 426*T1^11*T2^6 + 
      30*T1^12*T2^6 - 129*T1*T2^7 - 579*T1^2*T2^7 + 1046*T1^3*T2^7 + 
      890*T1^4*T2^7 - 3866*T1^5*T2^7 + 1482*T1^6*T2^7 + 1482*T1^7*T2^7 - 
      3866*T1^8*T2^7 + 890*T1^9*T2^7 + 1046*T1^10*T2^7 - 579*T1^11*T2^7 - 
      129*T1^12*T2^7 + 263*T1^2*T2^8 + 238*T1^3*T2^8 - 1436*T1^4*T2^8 + 
      890*T1^5*T2^8 + 2818*T1^6*T2^8 - 3866*T1^7*T2^8 + 2818*T1^8*T2^8 + 
      890*T1^9*T2^8 - 1436*T1^10*T2^8 + 238*T1^11*T2^8 + 263*T1^12*T2^8 - 
      318*T1^3*T2^9 + 238*T1^4*T2^9 + 1046*T1^5*T2^9 - 2322*T1^6*T2^9 + 
      890*T1^7*T2^9 + 890*T1^8*T2^9 - 2322*T1^9*T2^9 + 1046*T1^10*T2^9 + 
      238*T1^11*T2^9 - 318*T1^12*T2^9 + 263*T1^4*T2^10 - 579*T1^5*T2^10 + 
      170*T1^6*T2^10 + 1046*T1^7*T2^10 - 1436*T1^8*T2^10 + 1046*T1^9*T2^10 + 
      170*T1^10*T2^10 - 579*T1^11*T2^10 + 263*T1^12*T2^10 - 129*T1^5*T2^11 + 
      426*T1^6*T2^11 - 579*T1^7*T2^11 + 238*T1^8*T2^11 + 238*T1^9*T2^11 - 
      579*T1^10*T2^11 + 426*T1^11*T2^11 - 129*T1^12*T2^11 + 30*T1^6*T2^12 - 
      129*T1^7*T2^12 + 263*T1^8*T2^12 - 318*T1^9*T2^12 + 263*T1^10*T2^12 - 
      129*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 713] -> 
  {(3 - 11*T + 20*T^2 - 23*T^3 + 20*T^4 - 11*T^5 + 3*T^6)/T^3, 
   -((24 - 87*T1 + 155*T1^2 - 176*T1^3 + 155*T1^4 - 87*T1^5 + 24*T1^6 - 
      87*T2 + 230*T1*T2 - 248*T1^2*T2 + 78*T1^3*T2 + 78*T1^4*T2 - 
      248*T1^5*T2 + 230*T1^6*T2 - 87*T1^7*T2 + 155*T2^2 - 248*T1*T2^2 - 
      28*T1^2*T2^2 + 465*T1^3*T2^2 - 512*T1^4*T2^2 + 465*T1^5*T2^2 - 
      28*T1^6*T2^2 - 248*T1^7*T2^2 + 155*T1^8*T2^2 - 176*T2^3 + 78*T1*T2^3 + 
      465*T1^2*T2^3 - 764*T1^3*T2^3 + 222*T1^4*T2^3 + 222*T1^5*T2^3 - 
      764*T1^6*T2^3 + 465*T1^7*T2^3 + 78*T1^8*T2^3 - 176*T1^9*T2^3 + 
      155*T2^4 + 78*T1*T2^4 - 512*T1^2*T2^4 + 222*T1^3*T2^4 + 855*T1^4*T2^4 - 
      1119*T1^5*T2^4 + 855*T1^6*T2^4 + 222*T1^7*T2^4 - 512*T1^8*T2^4 + 
      78*T1^9*T2^4 + 155*T1^10*T2^4 - 87*T2^5 - 248*T1*T2^5 + 465*T1^2*T2^5 + 
      222*T1^3*T2^5 - 1119*T1^4*T2^5 + 514*T1^5*T2^5 + 514*T1^6*T2^5 - 
      1119*T1^7*T2^5 + 222*T1^8*T2^5 + 465*T1^9*T2^5 - 248*T1^10*T2^5 - 
      87*T1^11*T2^5 + 24*T2^6 + 230*T1*T2^6 - 28*T1^2*T2^6 - 764*T1^3*T2^6 + 
      855*T1^4*T2^6 + 514*T1^5*T2^6 - 1164*T1^6*T2^6 + 514*T1^7*T2^6 + 
      855*T1^8*T2^6 - 764*T1^9*T2^6 - 28*T1^10*T2^6 + 230*T1^11*T2^6 + 
      24*T1^12*T2^6 - 87*T1*T2^7 - 248*T1^2*T2^7 + 465*T1^3*T2^7 + 
      222*T1^4*T2^7 - 1119*T1^5*T2^7 + 514*T1^6*T2^7 + 514*T1^7*T2^7 - 
      1119*T1^8*T2^7 + 222*T1^9*T2^7 + 465*T1^10*T2^7 - 248*T1^11*T2^7 - 
      87*T1^12*T2^7 + 155*T1^2*T2^8 + 78*T1^3*T2^8 - 512*T1^4*T2^8 + 
      222*T1^5*T2^8 + 855*T1^6*T2^8 - 1119*T1^7*T2^8 + 855*T1^8*T2^8 + 
      222*T1^9*T2^8 - 512*T1^10*T2^8 + 78*T1^11*T2^8 + 155*T1^12*T2^8 - 
      176*T1^3*T2^9 + 78*T1^4*T2^9 + 465*T1^5*T2^9 - 764*T1^6*T2^9 + 
      222*T1^7*T2^9 + 222*T1^8*T2^9 - 764*T1^9*T2^9 + 465*T1^10*T2^9 + 
      78*T1^11*T2^9 - 176*T1^12*T2^9 + 155*T1^4*T2^10 - 248*T1^5*T2^10 - 
      28*T1^6*T2^10 + 465*T1^7*T2^10 - 512*T1^8*T2^10 + 465*T1^9*T2^10 - 
      28*T1^10*T2^10 - 248*T1^11*T2^10 + 155*T1^12*T2^10 - 87*T1^5*T2^11 + 
      230*T1^6*T2^11 - 248*T1^7*T2^11 + 78*T1^8*T2^11 + 78*T1^9*T2^11 - 
      248*T1^10*T2^11 + 230*T1^11*T2^11 - 87*T1^12*T2^11 + 24*T1^6*T2^12 - 
      87*T1^7*T2^12 + 155*T1^8*T2^12 - 176*T1^9*T2^12 + 155*T1^10*T2^12 - 
      87*T1^11*T2^12 + 24*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 714] -> 
  {(3 - 14*T + 30*T^2 - 37*T^3 + 30*T^4 - 14*T^5 + 3*T^6)/T^3, 
   (30 - 138*T1 + 290*T1^2 - 354*T1^3 + 290*T1^4 - 138*T1^5 + 30*T1^6 - 
     138*T2 + 496*T1*T2 - 699*T1^2*T2 + 295*T1^3*T2 + 295*T1^4*T2 - 
     699*T1^5*T2 + 496*T1^6*T2 - 138*T1^7*T2 + 290*T2^2 - 699*T1*T2^2 + 
     171*T1^2*T2^2 + 1421*T1^3*T2^2 - 1969*T1^4*T2^2 + 1421*T1^5*T2^2 + 
     171*T1^6*T2^2 - 699*T1^7*T2^2 + 290*T1^8*T2^2 - 354*T2^3 + 295*T1*T2^3 + 
     1421*T1^2*T2^3 - 3112*T1^3*T2^3 + 1221*T1^4*T2^3 + 1221*T1^5*T2^3 - 
     3112*T1^6*T2^3 + 1421*T1^7*T2^3 + 295*T1^8*T2^3 - 354*T1^9*T2^3 + 
     290*T2^4 + 295*T1*T2^4 - 1969*T1^2*T2^4 + 1221*T1^3*T2^4 + 
     3717*T1^4*T2^4 - 5135*T1^5*T2^4 + 3717*T1^6*T2^4 + 1221*T1^7*T2^4 - 
     1969*T1^8*T2^4 + 295*T1^9*T2^4 + 290*T1^10*T2^4 - 138*T2^5 - 
     699*T1*T2^5 + 1421*T1^2*T2^5 + 1221*T1^3*T2^5 - 5135*T1^4*T2^5 + 
     1940*T1^5*T2^5 + 1940*T1^6*T2^5 - 5135*T1^7*T2^5 + 1221*T1^8*T2^5 + 
     1421*T1^9*T2^5 - 699*T1^10*T2^5 - 138*T1^11*T2^5 + 30*T2^6 + 
     496*T1*T2^6 + 171*T1^2*T2^6 - 3112*T1^3*T2^6 + 3717*T1^4*T2^6 + 
     1940*T1^5*T2^6 - 3384*T1^6*T2^6 + 1940*T1^7*T2^6 + 3717*T1^8*T2^6 - 
     3112*T1^9*T2^6 + 171*T1^10*T2^6 + 496*T1^11*T2^6 + 30*T1^12*T2^6 - 
     138*T1*T2^7 - 699*T1^2*T2^7 + 1421*T1^3*T2^7 + 1221*T1^4*T2^7 - 
     5135*T1^5*T2^7 + 1940*T1^6*T2^7 + 1940*T1^7*T2^7 - 5135*T1^8*T2^7 + 
     1221*T1^9*T2^7 + 1421*T1^10*T2^7 - 699*T1^11*T2^7 - 138*T1^12*T2^7 + 
     290*T1^2*T2^8 + 295*T1^3*T2^8 - 1969*T1^4*T2^8 + 1221*T1^5*T2^8 + 
     3717*T1^6*T2^8 - 5135*T1^7*T2^8 + 3717*T1^8*T2^8 + 1221*T1^9*T2^8 - 
     1969*T1^10*T2^8 + 295*T1^11*T2^8 + 290*T1^12*T2^8 - 354*T1^3*T2^9 + 
     295*T1^4*T2^9 + 1421*T1^5*T2^9 - 3112*T1^6*T2^9 + 1221*T1^7*T2^9 + 
     1221*T1^8*T2^9 - 3112*T1^9*T2^9 + 1421*T1^10*T2^9 + 295*T1^11*T2^9 - 
     354*T1^12*T2^9 + 290*T1^4*T2^10 - 699*T1^5*T2^10 + 171*T1^6*T2^10 + 
     1421*T1^7*T2^10 - 1969*T1^8*T2^10 + 1421*T1^9*T2^10 + 171*T1^10*T2^10 - 
     699*T1^11*T2^10 + 290*T1^12*T2^10 - 138*T1^5*T2^11 + 496*T1^6*T2^11 - 
     699*T1^7*T2^11 + 295*T1^8*T2^11 + 295*T1^9*T2^11 - 699*T1^10*T2^11 + 
     496*T1^11*T2^11 - 138*T1^12*T2^11 + 30*T1^6*T2^12 - 138*T1^7*T2^12 + 
     290*T1^8*T2^12 - 354*T1^9*T2^12 + 290*T1^10*T2^12 - 138*T1^11*T2^12 + 
     30*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 715] -> 
  {(6 - 22*T + 33*T^2 - 22*T^3 + 6*T^4)/T^2, 
   -((3 - 15*T1 + 29*T1^2 - 15*T1^3 + 3*T1^4 - 15*T2 + 64*T1*T2 - 
      62*T1^2*T2 - 62*T1^3*T2 + 64*T1^4*T2 - 15*T1^5*T2 + 29*T2^2 - 
      62*T1*T2^2 - 131*T1^2*T2^2 + 405*T1^3*T2^2 - 131*T1^4*T2^2 - 
      62*T1^5*T2^2 + 29*T1^6*T2^2 - 15*T2^3 - 62*T1*T2^3 + 405*T1^2*T2^3 - 
      404*T1^3*T2^3 - 404*T1^4*T2^3 + 405*T1^5*T2^3 - 62*T1^6*T2^3 - 
      15*T1^7*T2^3 + 3*T2^4 + 64*T1*T2^4 - 131*T1^2*T2^4 - 404*T1^3*T2^4 + 
      1128*T1^4*T2^4 - 404*T1^5*T2^4 - 131*T1^6*T2^4 + 64*T1^7*T2^4 + 
      3*T1^8*T2^4 - 15*T1*T2^5 - 62*T1^2*T2^5 + 405*T1^3*T2^5 - 
      404*T1^4*T2^5 - 404*T1^5*T2^5 + 405*T1^6*T2^5 - 62*T1^7*T2^5 - 
      15*T1^8*T2^5 + 29*T1^2*T2^6 - 62*T1^3*T2^6 - 131*T1^4*T2^6 + 
      405*T1^5*T2^6 - 131*T1^6*T2^6 - 62*T1^7*T2^6 + 29*T1^8*T2^6 - 
      15*T1^3*T2^7 + 64*T1^4*T2^7 - 62*T1^5*T2^7 - 62*T1^6*T2^7 + 
      64*T1^7*T2^7 - 15*T1^8*T2^7 + 3*T1^4*T2^8 - 15*T1^5*T2^8 + 
      29*T1^6*T2^8 - 15*T1^7*T2^8 + 3*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, NonAlternating, 716] -> 
  {(2 - 9*T + 18*T^2 - 21*T^3 + 18*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (7 - 31*T1 + 60*T1^2 - 69*T1^3 + 60*T1^4 - 31*T1^5 + 7*T1^6 - 31*T2 + 
     106*T1*T2 - 127*T1^2*T2 + 39*T1^3*T2 + 39*T1^4*T2 - 127*T1^5*T2 + 
     106*T1^6*T2 - 31*T1^7*T2 + 60*T2^2 - 127*T1*T2^2 - 59*T1^2*T2^2 + 
     390*T1^3*T2^2 - 431*T1^4*T2^2 + 390*T1^5*T2^2 - 59*T1^6*T2^2 - 
     127*T1^7*T2^2 + 60*T1^8*T2^2 - 69*T2^3 + 39*T1*T2^3 + 390*T1^2*T2^3 - 
     650*T1^3*T2^3 + 189*T1^4*T2^3 + 189*T1^5*T2^3 - 650*T1^6*T2^3 + 
     390*T1^7*T2^3 + 39*T1^8*T2^3 - 69*T1^9*T2^3 + 60*T2^4 + 39*T1*T2^4 - 
     431*T1^2*T2^4 + 189*T1^3*T2^4 + 754*T1^4*T2^4 - 958*T1^5*T2^4 + 
     754*T1^6*T2^4 + 189*T1^7*T2^4 - 431*T1^8*T2^4 + 39*T1^9*T2^4 + 
     60*T1^10*T2^4 - 31*T2^5 - 127*T1*T2^5 + 390*T1^2*T2^5 + 189*T1^3*T2^5 - 
     958*T1^4*T2^5 + 414*T1^5*T2^5 + 414*T1^6*T2^5 - 958*T1^7*T2^5 + 
     189*T1^8*T2^5 + 390*T1^9*T2^5 - 127*T1^10*T2^5 - 31*T1^11*T2^5 + 
     7*T2^6 + 106*T1*T2^6 - 59*T1^2*T2^6 - 650*T1^3*T2^6 + 754*T1^4*T2^6 + 
     414*T1^5*T2^6 - 924*T1^6*T2^6 + 414*T1^7*T2^6 + 754*T1^8*T2^6 - 
     650*T1^9*T2^6 - 59*T1^10*T2^6 + 106*T1^11*T2^6 + 7*T1^12*T2^6 - 
     31*T1*T2^7 - 127*T1^2*T2^7 + 390*T1^3*T2^7 + 189*T1^4*T2^7 - 
     958*T1^5*T2^7 + 414*T1^6*T2^7 + 414*T1^7*T2^7 - 958*T1^8*T2^7 + 
     189*T1^9*T2^7 + 390*T1^10*T2^7 - 127*T1^11*T2^7 - 31*T1^12*T2^7 + 
     60*T1^2*T2^8 + 39*T1^3*T2^8 - 431*T1^4*T2^8 + 189*T1^5*T2^8 + 
     754*T1^6*T2^8 - 958*T1^7*T2^8 + 754*T1^8*T2^8 + 189*T1^9*T2^8 - 
     431*T1^10*T2^8 + 39*T1^11*T2^8 + 60*T1^12*T2^8 - 69*T1^3*T2^9 + 
     39*T1^4*T2^9 + 390*T1^5*T2^9 - 650*T1^6*T2^9 + 189*T1^7*T2^9 + 
     189*T1^8*T2^9 - 650*T1^9*T2^9 + 390*T1^10*T2^9 + 39*T1^11*T2^9 - 
     69*T1^12*T2^9 + 60*T1^4*T2^10 - 127*T1^5*T2^10 - 59*T1^6*T2^10 + 
     390*T1^7*T2^10 - 431*T1^8*T2^10 + 390*T1^9*T2^10 - 59*T1^10*T2^10 - 
     127*T1^11*T2^10 + 60*T1^12*T2^10 - 31*T1^5*T2^11 + 106*T1^6*T2^11 - 
     127*T1^7*T2^11 + 39*T1^8*T2^11 + 39*T1^9*T2^11 - 127*T1^10*T2^11 + 
     106*T1^11*T2^11 - 31*T1^12*T2^11 + 7*T1^6*T2^12 - 31*T1^7*T2^12 + 
     60*T1^8*T2^12 - 69*T1^9*T2^12 + 60*T1^10*T2^12 - 31*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 717] -> 
  {(1 - 4*T + 12*T^2 - 17*T^3 + 12*T^4 - 4*T^5 + T^6)/T^3, 
   -((1 - 4*T1 + 12*T1^2 - 17*T1^3 + 12*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 
      12*T1*T2 - 32*T1^2*T2 + 20*T1^3*T2 + 20*T1^4*T2 - 32*T1^5*T2 + 
      12*T1^6*T2 - 4*T1^7*T2 + 12*T2^2 - 32*T1*T2^2 + 138*T1^2*T2^2 - 
      165*T1^3*T2^2 + 150*T1^4*T2^2 - 165*T1^5*T2^2 + 138*T1^6*T2^2 - 
      32*T1^7*T2^2 + 12*T1^8*T2^2 - 17*T2^3 + 20*T1*T2^3 - 165*T1^2*T2^3 + 
      2*T1^3*T2^3 + 50*T1^4*T2^3 + 50*T1^5*T2^3 + 2*T1^6*T2^3 - 
      165*T1^7*T2^3 + 20*T1^8*T2^3 - 17*T1^9*T2^3 + 12*T2^4 + 20*T1*T2^4 + 
      150*T1^2*T2^4 + 50*T1^3*T2^4 + 548*T1^4*T2^4 - 1002*T1^5*T2^4 + 
      548*T1^6*T2^4 + 50*T1^7*T2^4 + 150*T1^8*T2^4 + 20*T1^9*T2^4 + 
      12*T1^10*T2^4 - 4*T2^5 - 32*T1*T2^5 - 165*T1^2*T2^5 + 50*T1^3*T2^5 - 
      1002*T1^4*T2^5 + 672*T1^5*T2^5 + 672*T1^6*T2^5 - 1002*T1^7*T2^5 + 
      50*T1^8*T2^5 - 165*T1^9*T2^5 - 32*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 
      12*T1*T2^6 + 138*T1^2*T2^6 + 2*T1^3*T2^6 + 548*T1^4*T2^6 + 
      672*T1^5*T2^6 - 1596*T1^6*T2^6 + 672*T1^7*T2^6 + 548*T1^8*T2^6 + 
      2*T1^9*T2^6 + 138*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 
      32*T1^2*T2^7 - 165*T1^3*T2^7 + 50*T1^4*T2^7 - 1002*T1^5*T2^7 + 
      672*T1^6*T2^7 + 672*T1^7*T2^7 - 1002*T1^8*T2^7 + 50*T1^9*T2^7 - 
      165*T1^10*T2^7 - 32*T1^11*T2^7 - 4*T1^12*T2^7 + 12*T1^2*T2^8 + 
      20*T1^3*T2^8 + 150*T1^4*T2^8 + 50*T1^5*T2^8 + 548*T1^6*T2^8 - 
      1002*T1^7*T2^8 + 548*T1^8*T2^8 + 50*T1^9*T2^8 + 150*T1^10*T2^8 + 
      20*T1^11*T2^8 + 12*T1^12*T2^8 - 17*T1^3*T2^9 + 20*T1^4*T2^9 - 
      165*T1^5*T2^9 + 2*T1^6*T2^9 + 50*T1^7*T2^9 + 50*T1^8*T2^9 + 
      2*T1^9*T2^9 - 165*T1^10*T2^9 + 20*T1^11*T2^9 - 17*T1^12*T2^9 + 
      12*T1^4*T2^10 - 32*T1^5*T2^10 + 138*T1^6*T2^10 - 165*T1^7*T2^10 + 
      150*T1^8*T2^10 - 165*T1^9*T2^10 + 138*T1^10*T2^10 - 32*T1^11*T2^10 + 
      12*T1^12*T2^10 - 4*T1^5*T2^11 + 12*T1^6*T2^11 - 32*T1^7*T2^11 + 
      20*T1^8*T2^11 + 20*T1^9*T2^11 - 32*T1^10*T2^11 + 12*T1^11*T2^11 - 
      4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 12*T1^8*T2^12 - 
      17*T1^9*T2^12 + 12*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, NonAlternating, 718] -> 
  {(2 - 7*T + 12*T^2 - 13*T^3 + 12*T^4 - 7*T^5 + 2*T^6)/T^3, 
   -((9 - 30*T1 + 50*T1^2 - 53*T1^3 + 50*T1^4 - 30*T1^5 + 9*T1^6 - 30*T2 + 
      70*T1*T2 - 66*T1^2*T2 + 10*T1^3*T2 + 10*T1^4*T2 - 66*T1^5*T2 + 
      70*T1^6*T2 - 30*T1^7*T2 + 50*T2^2 - 66*T1*T2^2 - 38*T1^2*T2^2 + 
      190*T1^3*T2^2 - 178*T1^4*T2^2 + 190*T1^5*T2^2 - 38*T1^6*T2^2 - 
      66*T1^7*T2^2 + 50*T1^8*T2^2 - 53*T2^3 + 10*T1*T2^3 + 190*T1^2*T2^3 - 
      312*T1^3*T2^3 + 89*T1^4*T2^3 + 89*T1^5*T2^3 - 312*T1^6*T2^3 + 
      190*T1^7*T2^3 + 10*T1^8*T2^3 - 53*T1^9*T2^3 + 50*T2^4 + 10*T1*T2^4 - 
      178*T1^2*T2^4 + 89*T1^3*T2^4 + 345*T1^4*T2^4 - 501*T1^5*T2^4 + 
      345*T1^6*T2^4 + 89*T1^7*T2^4 - 178*T1^8*T2^4 + 10*T1^9*T2^4 + 
      50*T1^10*T2^4 - 30*T2^5 - 66*T1*T2^5 + 190*T1^2*T2^5 + 89*T1^3*T2^5 - 
      501*T1^4*T2^5 + 300*T1^5*T2^5 + 300*T1^6*T2^5 - 501*T1^7*T2^5 + 
      89*T1^8*T2^5 + 190*T1^9*T2^5 - 66*T1^10*T2^5 - 30*T1^11*T2^5 + 9*T2^6 + 
      70*T1*T2^6 - 38*T1^2*T2^6 - 312*T1^3*T2^6 + 345*T1^4*T2^6 + 
      300*T1^5*T2^6 - 768*T1^6*T2^6 + 300*T1^7*T2^6 + 345*T1^8*T2^6 - 
      312*T1^9*T2^6 - 38*T1^10*T2^6 + 70*T1^11*T2^6 + 9*T1^12*T2^6 - 
      30*T1*T2^7 - 66*T1^2*T2^7 + 190*T1^3*T2^7 + 89*T1^4*T2^7 - 
      501*T1^5*T2^7 + 300*T1^6*T2^7 + 300*T1^7*T2^7 - 501*T1^8*T2^7 + 
      89*T1^9*T2^7 + 190*T1^10*T2^7 - 66*T1^11*T2^7 - 30*T1^12*T2^7 + 
      50*T1^2*T2^8 + 10*T1^3*T2^8 - 178*T1^4*T2^8 + 89*T1^5*T2^8 + 
      345*T1^6*T2^8 - 501*T1^7*T2^8 + 345*T1^8*T2^8 + 89*T1^9*T2^8 - 
      178*T1^10*T2^8 + 10*T1^11*T2^8 + 50*T1^12*T2^8 - 53*T1^3*T2^9 + 
      10*T1^4*T2^9 + 190*T1^5*T2^9 - 312*T1^6*T2^9 + 89*T1^7*T2^9 + 
      89*T1^8*T2^9 - 312*T1^9*T2^9 + 190*T1^10*T2^9 + 10*T1^11*T2^9 - 
      53*T1^12*T2^9 + 50*T1^4*T2^10 - 66*T1^5*T2^10 - 38*T1^6*T2^10 + 
      190*T1^7*T2^10 - 178*T1^8*T2^10 + 190*T1^9*T2^10 - 38*T1^10*T2^10 - 
      66*T1^11*T2^10 + 50*T1^12*T2^10 - 30*T1^5*T2^11 + 70*T1^6*T2^11 - 
      66*T1^7*T2^11 + 10*T1^8*T2^11 + 10*T1^9*T2^11 - 66*T1^10*T2^11 + 
      70*T1^11*T2^11 - 30*T1^12*T2^11 + 9*T1^6*T2^12 - 30*T1^7*T2^12 + 
      50*T1^8*T2^12 - 53*T1^9*T2^12 + 50*T1^10*T2^12 - 30*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 719] -> 
  {(1 - 5*T + 13*T^2 - 17*T^3 + 13*T^4 - 5*T^5 + T^6)/T^3, 
   (1 - 5*T1 + 13*T1^2 - 17*T1^3 + 13*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 42*T1^2*T2 + 21*T1^3*T2 + 21*T1^4*T2 - 42*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 13*T2^2 - 42*T1*T2^2 + 94*T1^2*T2^2 - 
     26*T1^3*T2^2 - 2*T1^4*T2^2 - 26*T1^5*T2^2 + 94*T1^6*T2^2 - 
     42*T1^7*T2^2 + 13*T1^8*T2^2 - 17*T2^3 + 21*T1*T2^3 - 26*T1^2*T2^3 - 
     196*T1^3*T2^3 + 81*T1^4*T2^3 + 81*T1^5*T2^3 - 196*T1^6*T2^3 - 
     26*T1^7*T2^3 + 21*T1^8*T2^3 - 17*T1^9*T2^3 + 13*T2^4 + 21*T1*T2^4 - 
     2*T1^2*T2^4 + 81*T1^3*T2^4 + 625*T1^4*T2^4 - 837*T1^5*T2^4 + 
     625*T1^6*T2^4 + 81*T1^7*T2^4 - 2*T1^8*T2^4 + 21*T1^9*T2^4 + 
     13*T1^10*T2^4 - 5*T2^5 - 42*T1*T2^5 - 26*T1^2*T2^5 + 81*T1^3*T2^5 - 
     837*T1^4*T2^5 + 312*T1^5*T2^5 + 312*T1^6*T2^5 - 837*T1^7*T2^5 + 
     81*T1^8*T2^5 - 26*T1^9*T2^5 - 42*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 + 94*T1^2*T2^6 - 196*T1^3*T2^6 + 625*T1^4*T2^6 + 
     312*T1^5*T2^6 - 504*T1^6*T2^6 + 312*T1^7*T2^6 + 625*T1^8*T2^6 - 
     196*T1^9*T2^6 + 94*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     42*T1^2*T2^7 - 26*T1^3*T2^7 + 81*T1^4*T2^7 - 837*T1^5*T2^7 + 
     312*T1^6*T2^7 + 312*T1^7*T2^7 - 837*T1^8*T2^7 + 81*T1^9*T2^7 - 
     26*T1^10*T2^7 - 42*T1^11*T2^7 - 5*T1^12*T2^7 + 13*T1^2*T2^8 + 
     21*T1^3*T2^8 - 2*T1^4*T2^8 + 81*T1^5*T2^8 + 625*T1^6*T2^8 - 
     837*T1^7*T2^8 + 625*T1^8*T2^8 + 81*T1^9*T2^8 - 2*T1^10*T2^8 + 
     21*T1^11*T2^8 + 13*T1^12*T2^8 - 17*T1^3*T2^9 + 21*T1^4*T2^9 - 
     26*T1^5*T2^9 - 196*T1^6*T2^9 + 81*T1^7*T2^9 + 81*T1^8*T2^9 - 
     196*T1^9*T2^9 - 26*T1^10*T2^9 + 21*T1^11*T2^9 - 17*T1^12*T2^9 + 
     13*T1^4*T2^10 - 42*T1^5*T2^10 + 94*T1^6*T2^10 - 26*T1^7*T2^10 - 
     2*T1^8*T2^10 - 26*T1^9*T2^10 + 94*T1^10*T2^10 - 42*T1^11*T2^10 + 
     13*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 42*T1^7*T2^11 + 
     21*T1^8*T2^11 + 21*T1^9*T2^11 - 42*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 13*T1^8*T2^12 - 
     17*T1^9*T2^12 + 13*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 720] -> 
  {-((2 - 11*T + 23*T^2 - 29*T^3 + 23*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((17 - 92*T1 + 190*T1^2 - 239*T1^3 + 190*T1^4 - 92*T1^5 + 17*T1^6 - 
      92*T2 + 406*T1*T2 - 532*T1^2*T2 + 266*T1^3*T2 + 266*T1^4*T2 - 
      532*T1^5*T2 + 406*T1^6*T2 - 92*T1^7*T2 + 190*T2^2 - 532*T1*T2^2 - 
      325*T1^2*T2^2 + 1762*T1^3*T2^2 - 2623*T1^4*T2^2 + 1762*T1^5*T2^2 - 
      325*T1^6*T2^2 - 532*T1^7*T2^2 + 190*T1^8*T2^2 - 239*T2^3 + 
      266*T1*T2^3 + 1762*T1^2*T2^3 - 2798*T1^3*T2^3 + 1588*T1^4*T2^3 + 
      1588*T1^5*T2^3 - 2798*T1^6*T2^3 + 1762*T1^7*T2^3 + 266*T1^8*T2^3 - 
      239*T1^9*T2^3 + 190*T2^4 + 266*T1*T2^4 - 2623*T1^2*T2^4 + 
      1588*T1^3*T2^4 + 1514*T1^4*T2^4 - 4012*T1^5*T2^4 + 1514*T1^6*T2^4 + 
      1588*T1^7*T2^4 - 2623*T1^8*T2^4 + 266*T1^9*T2^4 + 190*T1^10*T2^4 - 
      92*T2^5 - 532*T1*T2^5 + 1762*T1^2*T2^5 + 1588*T1^3*T2^5 - 
      4012*T1^4*T2^5 + 2780*T1^5*T2^5 + 2780*T1^6*T2^5 - 4012*T1^7*T2^5 + 
      1588*T1^8*T2^5 + 1762*T1^9*T2^5 - 532*T1^10*T2^5 - 92*T1^11*T2^5 + 
      17*T2^6 + 406*T1*T2^6 - 325*T1^2*T2^6 - 2798*T1^3*T2^6 + 
      1514*T1^4*T2^6 + 2780*T1^5*T2^6 - 6504*T1^6*T2^6 + 2780*T1^7*T2^6 + 
      1514*T1^8*T2^6 - 2798*T1^9*T2^6 - 325*T1^10*T2^6 + 406*T1^11*T2^6 + 
      17*T1^12*T2^6 - 92*T1*T2^7 - 532*T1^2*T2^7 + 1762*T1^3*T2^7 + 
      1588*T1^4*T2^7 - 4012*T1^5*T2^7 + 2780*T1^6*T2^7 + 2780*T1^7*T2^7 - 
      4012*T1^8*T2^7 + 1588*T1^9*T2^7 + 1762*T1^10*T2^7 - 532*T1^11*T2^7 - 
      92*T1^12*T2^7 + 190*T1^2*T2^8 + 266*T1^3*T2^8 - 2623*T1^4*T2^8 + 
      1588*T1^5*T2^8 + 1514*T1^6*T2^8 - 4012*T1^7*T2^8 + 1514*T1^8*T2^8 + 
      1588*T1^9*T2^8 - 2623*T1^10*T2^8 + 266*T1^11*T2^8 + 190*T1^12*T2^8 - 
      239*T1^3*T2^9 + 266*T1^4*T2^9 + 1762*T1^5*T2^9 - 2798*T1^6*T2^9 + 
      1588*T1^7*T2^9 + 1588*T1^8*T2^9 - 2798*T1^9*T2^9 + 1762*T1^10*T2^9 + 
      266*T1^11*T2^9 - 239*T1^12*T2^9 + 190*T1^4*T2^10 - 532*T1^5*T2^10 - 
      325*T1^6*T2^10 + 1762*T1^7*T2^10 - 2623*T1^8*T2^10 + 1762*T1^9*T2^10 - 
      325*T1^10*T2^10 - 532*T1^11*T2^10 + 190*T1^12*T2^10 - 92*T1^5*T2^11 + 
      406*T1^6*T2^11 - 532*T1^7*T2^11 + 266*T1^8*T2^11 + 266*T1^9*T2^11 - 
      532*T1^10*T2^11 + 406*T1^11*T2^11 - 92*T1^12*T2^11 + 17*T1^6*T2^12 - 
      92*T1^7*T2^12 + 190*T1^8*T2^12 - 239*T1^9*T2^12 + 190*T1^10*T2^12 - 
      92*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 721] -> {(1 - T + T^2 - T^3 + T^4)^2/T^4, 
   (-2*(T1^2 - 2*T1^3 + T1^4 - 2*T1^2*T2 + 2*T1^3*T2 + 2*T1^4*T2 - 
      2*T1^5*T2 + T2^2 - 2*T1*T2^2 + 10*T1^2*T2^2 - 11*T1^3*T2^2 + 
      8*T1^4*T2^2 - 11*T1^5*T2^2 + 10*T1^6*T2^2 - 2*T1^7*T2^2 + T1^8*T2^2 - 
      2*T2^3 + 2*T1*T2^3 - 11*T1^2*T2^3 + 3*T1^3*T2^3 + T1^4*T2^3 + 
      T1^5*T2^3 + 3*T1^6*T2^3 - 11*T1^7*T2^3 + 2*T1^8*T2^3 - 2*T1^9*T2^3 + 
      T2^4 + 2*T1*T2^4 + 8*T1^2*T2^4 + T1^3*T2^4 + 5*T1^4*T2^4 - 
      8*T1^5*T2^4 + 5*T1^6*T2^4 + T1^7*T2^4 + 8*T1^8*T2^4 + 2*T1^9*T2^4 + 
      T1^10*T2^4 - 2*T1*T2^5 - 11*T1^2*T2^5 + T1^3*T2^5 - 8*T1^4*T2^5 + 
      2*T1^5*T2^5 + 2*T1^6*T2^5 - 8*T1^7*T2^5 + T1^8*T2^5 - 11*T1^9*T2^5 - 
      2*T1^10*T2^5 + 10*T1^2*T2^6 + 3*T1^3*T2^6 + 5*T1^4*T2^6 + 2*T1^5*T2^6 + 
      2*T1^7*T2^6 + 5*T1^8*T2^6 + 3*T1^9*T2^6 + 10*T1^10*T2^6 - 2*T1^2*T2^7 - 
      11*T1^3*T2^7 + T1^4*T2^7 - 8*T1^5*T2^7 + 2*T1^6*T2^7 + 2*T1^7*T2^7 - 
      8*T1^8*T2^7 + T1^9*T2^7 - 11*T1^10*T2^7 - 2*T1^11*T2^7 + T1^2*T2^8 + 
      2*T1^3*T2^8 + 8*T1^4*T2^8 + T1^5*T2^8 + 5*T1^6*T2^8 - 8*T1^7*T2^8 + 
      5*T1^8*T2^8 + T1^9*T2^8 + 8*T1^10*T2^8 + 2*T1^11*T2^8 + T1^12*T2^8 - 
      2*T1^3*T2^9 + 2*T1^4*T2^9 - 11*T1^5*T2^9 + 3*T1^6*T2^9 + T1^7*T2^9 + 
      T1^8*T2^9 + 3*T1^9*T2^9 - 11*T1^10*T2^9 + 2*T1^11*T2^9 - 2*T1^12*T2^9 + 
      T1^4*T2^10 - 2*T1^5*T2^10 + 10*T1^6*T2^10 - 11*T1^7*T2^10 + 
      8*T1^8*T2^10 - 11*T1^9*T2^10 + 10*T1^10*T2^10 - 2*T1^11*T2^10 + 
      T1^12*T2^10 - 2*T1^7*T2^11 + 2*T1^8*T2^11 + 2*T1^9*T2^11 - 
      2*T1^10*T2^11 + T1^8*T2^12 - 2*T1^9*T2^12 + T1^10*T2^12))/(T1^6*T2^6)}, 
 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), 
   -((3 - 12*T1 + 21*T1^2 - 30*T1^3 + 33*T1^4 - 30*T1^5 + 21*T1^6 - 12*T1^7 + 
      3*T1^8 - 12*T2 + 36*T1*T2 - 35*T1^2*T2 + 35*T1^3*T2 - 11*T1^4*T2 - 
      11*T1^5*T2 + 35*T1^6*T2 - 35*T1^7*T2 + 36*T1^8*T2 - 12*T1^9*T2 + 
      21*T2^2 - 35*T1*T2^2 - 31*T1^2*T2^2 + 55*T1^3*T2^2 - 120*T1^4*T2^2 + 
      125*T1^5*T2^2 - 120*T1^6*T2^2 + 55*T1^7*T2^2 - 31*T1^8*T2^2 - 
      35*T1^9*T2^2 + 21*T1^10*T2^2 - 30*T2^3 + 35*T1*T2^3 + 55*T1^2*T2^3 - 
      8*T1^3*T2^3 + 62*T1^4*T2^3 + 62*T1^7*T2^3 - 8*T1^8*T2^3 + 
      55*T1^9*T2^3 + 35*T1^10*T2^3 - 30*T1^11*T2^3 + 33*T2^4 - 11*T1*T2^4 - 
      120*T1^2*T2^4 + 62*T1^3*T2^4 - 223*T1^4*T2^4 + 172*T1^5*T2^4 - 
      253*T1^6*T2^4 + 172*T1^7*T2^4 - 223*T1^8*T2^4 + 62*T1^9*T2^4 - 
      120*T1^10*T2^4 - 11*T1^11*T2^4 + 33*T1^12*T2^4 - 30*T2^5 - 11*T1*T2^5 + 
      125*T1^2*T2^5 + 172*T1^4*T2^5 - 4*T1^5*T2^5 + 81*T1^6*T2^5 + 
      81*T1^7*T2^5 - 4*T1^8*T2^5 + 172*T1^9*T2^5 + 125*T1^11*T2^5 - 
      11*T1^12*T2^5 - 30*T1^13*T2^5 + 21*T2^6 + 35*T1*T2^6 - 120*T1^2*T2^6 - 
      253*T1^4*T2^6 + 81*T1^5*T2^6 - 273*T1^6*T2^6 + 123*T1^7*T2^6 - 
      273*T1^8*T2^6 + 81*T1^9*T2^6 - 253*T1^10*T2^6 - 120*T1^12*T2^6 + 
      35*T1^13*T2^6 + 21*T1^14*T2^6 - 12*T2^7 - 35*T1*T2^7 + 55*T1^2*T2^7 + 
      62*T1^3*T2^7 + 172*T1^4*T2^7 + 81*T1^5*T2^7 + 123*T1^6*T2^7 + 
      84*T1^7*T2^7 + 84*T1^8*T2^7 + 123*T1^9*T2^7 + 81*T1^10*T2^7 + 
      172*T1^11*T2^7 + 62*T1^12*T2^7 + 55*T1^13*T2^7 - 35*T1^14*T2^7 - 
      12*T1^15*T2^7 + 3*T2^8 + 36*T1*T2^8 - 31*T1^2*T2^8 - 8*T1^3*T2^8 - 
      223*T1^4*T2^8 - 4*T1^5*T2^8 - 273*T1^6*T2^8 + 84*T1^7*T2^8 - 
      288*T1^8*T2^8 + 84*T1^9*T2^8 - 273*T1^10*T2^8 - 4*T1^11*T2^8 - 
      223*T1^12*T2^8 - 8*T1^13*T2^8 - 31*T1^14*T2^8 + 36*T1^15*T2^8 + 
      3*T1^16*T2^8 - 12*T1*T2^9 - 35*T1^2*T2^9 + 55*T1^3*T2^9 + 
      62*T1^4*T2^9 + 172*T1^5*T2^9 + 81*T1^6*T2^9 + 123*T1^7*T2^9 + 
      84*T1^8*T2^9 + 84*T1^9*T2^9 + 123*T1^10*T2^9 + 81*T1^11*T2^9 + 
      172*T1^12*T2^9 + 62*T1^13*T2^9 + 55*T1^14*T2^9 - 35*T1^15*T2^9 - 
      12*T1^16*T2^9 + 21*T1^2*T2^10 + 35*T1^3*T2^10 - 120*T1^4*T2^10 - 
      253*T1^6*T2^10 + 81*T1^7*T2^10 - 273*T1^8*T2^10 + 123*T1^9*T2^10 - 
      273*T1^10*T2^10 + 81*T1^11*T2^10 - 253*T1^12*T2^10 - 120*T1^14*T2^10 + 
      35*T1^15*T2^10 + 21*T1^16*T2^10 - 30*T1^3*T2^11 - 11*T1^4*T2^11 + 
      125*T1^5*T2^11 + 172*T1^7*T2^11 - 4*T1^8*T2^11 + 81*T1^9*T2^11 + 
      81*T1^10*T2^11 - 4*T1^11*T2^11 + 172*T1^12*T2^11 + 125*T1^14*T2^11 - 
      11*T1^15*T2^11 - 30*T1^16*T2^11 + 33*T1^4*T2^12 - 11*T1^5*T2^12 - 
      120*T1^6*T2^12 + 62*T1^7*T2^12 - 223*T1^8*T2^12 + 172*T1^9*T2^12 - 
      253*T1^10*T2^12 + 172*T1^11*T2^12 - 223*T1^12*T2^12 + 62*T1^13*T2^12 - 
      120*T1^14*T2^12 - 11*T1^15*T2^12 + 33*T1^16*T2^12 - 30*T1^5*T2^13 + 
      35*T1^6*T2^13 + 55*T1^7*T2^13 - 8*T1^8*T2^13 + 62*T1^9*T2^13 + 
      62*T1^12*T2^13 - 8*T1^13*T2^13 + 55*T1^14*T2^13 + 35*T1^15*T2^13 - 
      30*T1^16*T2^13 + 21*T1^6*T2^14 - 35*T1^7*T2^14 - 31*T1^8*T2^14 + 
      55*T1^9*T2^14 - 120*T1^10*T2^14 + 125*T1^11*T2^14 - 120*T1^12*T2^14 + 
      55*T1^13*T2^14 - 31*T1^14*T2^14 - 35*T1^15*T2^14 + 21*T1^16*T2^14 - 
      12*T1^7*T2^15 + 36*T1^8*T2^15 - 35*T1^9*T2^15 + 35*T1^10*T2^15 - 
      11*T1^11*T2^15 - 11*T1^12*T2^15 + 35*T1^13*T2^15 - 35*T1^14*T2^15 + 
      36*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)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 723] -> 
  {(2 - 4*T + 3*T^2 - T^3 + 3*T^4 - 4*T^5 + 2*T^6)/T^3, 
   (7 - 14*T1 + 10*T1^2 - 3*T1^3 + 10*T1^4 - 14*T1^5 + 7*T1^6 - 14*T2 + 
     14*T1*T2 + 8*T1^2*T2 - 14*T1^3*T2 - 14*T1^4*T2 + 8*T1^5*T2 + 
     14*T1^6*T2 - 14*T1^7*T2 + 10*T2^2 + 8*T1*T2^2 - 36*T1^2*T2^2 + 
     24*T1^3*T2^2 + 6*T1^4*T2^2 + 24*T1^5*T2^2 - 36*T1^6*T2^2 + 8*T1^7*T2^2 + 
     10*T1^8*T2^2 - 3*T2^3 - 14*T1*T2^3 + 24*T1^2*T2^3 - 12*T1^4*T2^3 - 
     12*T1^5*T2^3 + 24*T1^7*T2^3 - 14*T1^8*T2^3 - 3*T1^9*T2^3 + 10*T2^4 - 
     14*T1*T2^4 + 6*T1^2*T2^4 - 12*T1^3*T2^4 - 28*T1^4*T2^4 + 58*T1^5*T2^4 - 
     28*T1^6*T2^4 - 12*T1^7*T2^4 + 6*T1^8*T2^4 - 14*T1^9*T2^4 + 
     10*T1^10*T2^4 - 14*T2^5 + 8*T1*T2^5 + 24*T1^2*T2^5 - 12*T1^3*T2^5 + 
     58*T1^4*T2^5 - 34*T1^5*T2^5 - 34*T1^6*T2^5 + 58*T1^7*T2^5 - 
     12*T1^8*T2^5 + 24*T1^9*T2^5 + 8*T1^10*T2^5 - 14*T1^11*T2^5 + 7*T2^6 + 
     14*T1*T2^6 - 36*T1^2*T2^6 - 28*T1^4*T2^6 - 34*T1^5*T2^6 + 72*T1^6*T2^6 - 
     34*T1^7*T2^6 - 28*T1^8*T2^6 - 36*T1^10*T2^6 + 14*T1^11*T2^6 + 
     7*T1^12*T2^6 - 14*T1*T2^7 + 8*T1^2*T2^7 + 24*T1^3*T2^7 - 12*T1^4*T2^7 + 
     58*T1^5*T2^7 - 34*T1^6*T2^7 - 34*T1^7*T2^7 + 58*T1^8*T2^7 - 
     12*T1^9*T2^7 + 24*T1^10*T2^7 + 8*T1^11*T2^7 - 14*T1^12*T2^7 + 
     10*T1^2*T2^8 - 14*T1^3*T2^8 + 6*T1^4*T2^8 - 12*T1^5*T2^8 - 
     28*T1^6*T2^8 + 58*T1^7*T2^8 - 28*T1^8*T2^8 - 12*T1^9*T2^8 + 
     6*T1^10*T2^8 - 14*T1^11*T2^8 + 10*T1^12*T2^8 - 3*T1^3*T2^9 - 
     14*T1^4*T2^9 + 24*T1^5*T2^9 - 12*T1^7*T2^9 - 12*T1^8*T2^9 + 
     24*T1^10*T2^9 - 14*T1^11*T2^9 - 3*T1^12*T2^9 + 10*T1^4*T2^10 + 
     8*T1^5*T2^10 - 36*T1^6*T2^10 + 24*T1^7*T2^10 + 6*T1^8*T2^10 + 
     24*T1^9*T2^10 - 36*T1^10*T2^10 + 8*T1^11*T2^10 + 10*T1^12*T2^10 - 
     14*T1^5*T2^11 + 14*T1^6*T2^11 + 8*T1^7*T2^11 - 14*T1^8*T2^11 - 
     14*T1^9*T2^11 + 8*T1^10*T2^11 + 14*T1^11*T2^11 - 14*T1^12*T2^11 + 
     7*T1^6*T2^12 - 14*T1^7*T2^12 + 10*T1^8*T2^12 - 3*T1^9*T2^12 + 
     10*T1^10*T2^12 - 14*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 724] -> 
  {-((2 - 8*T + 13*T^2 - 15*T^3 + 13*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((17 - 68*T1 + 110*T1^2 - 127*T1^3 + 110*T1^4 - 68*T1^5 + 17*T1^6 - 
      68*T2 + 204*T1*T2 - 164*T1^2*T2 + 68*T1^3*T2 + 68*T1^4*T2 - 
      164*T1^5*T2 + 204*T1^6*T2 - 68*T1^7*T2 + 110*T2^2 - 164*T1*T2^2 - 
      298*T1^2*T2^2 + 546*T1^3*T2^2 - 678*T1^4*T2^2 + 546*T1^5*T2^2 - 
      298*T1^6*T2^2 - 164*T1^7*T2^2 + 110*T1^8*T2^2 - 127*T2^3 + 68*T1*T2^3 + 
      546*T1^2*T2^3 - 350*T1^3*T2^3 + 184*T1^4*T2^3 + 184*T1^5*T2^3 - 
      350*T1^6*T2^3 + 546*T1^7*T2^3 + 68*T1^8*T2^3 - 127*T1^9*T2^3 + 
      110*T2^4 + 68*T1*T2^4 - 678*T1^2*T2^4 + 184*T1^3*T2^4 - 228*T1^4*T2^4 + 
      48*T1^5*T2^4 - 228*T1^6*T2^4 + 184*T1^7*T2^4 - 678*T1^8*T2^4 + 
      68*T1^9*T2^4 + 110*T1^10*T2^4 - 68*T2^5 - 164*T1*T2^5 + 546*T1^2*T2^5 + 
      184*T1^3*T2^5 + 48*T1^4*T2^5 + 130*T1^5*T2^5 + 130*T1^6*T2^5 + 
      48*T1^7*T2^5 + 184*T1^8*T2^5 + 546*T1^9*T2^5 - 164*T1^10*T2^5 - 
      68*T1^11*T2^5 + 17*T2^6 + 204*T1*T2^6 - 298*T1^2*T2^6 - 350*T1^3*T2^6 - 
      228*T1^4*T2^6 + 130*T1^5*T2^6 - 420*T1^6*T2^6 + 130*T1^7*T2^6 - 
      228*T1^8*T2^6 - 350*T1^9*T2^6 - 298*T1^10*T2^6 + 204*T1^11*T2^6 + 
      17*T1^12*T2^6 - 68*T1*T2^7 - 164*T1^2*T2^7 + 546*T1^3*T2^7 + 
      184*T1^4*T2^7 + 48*T1^5*T2^7 + 130*T1^6*T2^7 + 130*T1^7*T2^7 + 
      48*T1^8*T2^7 + 184*T1^9*T2^7 + 546*T1^10*T2^7 - 164*T1^11*T2^7 - 
      68*T1^12*T2^7 + 110*T1^2*T2^8 + 68*T1^3*T2^8 - 678*T1^4*T2^8 + 
      184*T1^5*T2^8 - 228*T1^6*T2^8 + 48*T1^7*T2^8 - 228*T1^8*T2^8 + 
      184*T1^9*T2^8 - 678*T1^10*T2^8 + 68*T1^11*T2^8 + 110*T1^12*T2^8 - 
      127*T1^3*T2^9 + 68*T1^4*T2^9 + 546*T1^5*T2^9 - 350*T1^6*T2^9 + 
      184*T1^7*T2^9 + 184*T1^8*T2^9 - 350*T1^9*T2^9 + 546*T1^10*T2^9 + 
      68*T1^11*T2^9 - 127*T1^12*T2^9 + 110*T1^4*T2^10 - 164*T1^5*T2^10 - 
      298*T1^6*T2^10 + 546*T1^7*T2^10 - 678*T1^8*T2^10 + 546*T1^9*T2^10 - 
      298*T1^10*T2^10 - 164*T1^11*T2^10 + 110*T1^12*T2^10 - 68*T1^5*T2^11 + 
      204*T1^6*T2^11 - 164*T1^7*T2^11 + 68*T1^8*T2^11 + 68*T1^9*T2^11 - 
      164*T1^10*T2^11 + 204*T1^11*T2^11 - 68*T1^12*T2^11 + 17*T1^6*T2^12 - 
      68*T1^7*T2^12 + 110*T1^8*T2^12 - 127*T1^9*T2^12 + 110*T1^10*T2^12 - 
      68*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 725] -> 
  {((1 - T + T^2 - T^3 + T^4)*(1 - T^2 + T^3 - T^4 + T^6))/T^5, 
   (5 - 5*T1 + 5*T1^3 - 10*T1^4 + 15*T1^5 - 10*T1^6 + 5*T1^7 - 5*T1^9 + 
     5*T1^10 - 5*T2 + 5*T1^2*T2 - 5*T1^3*T2 + 5*T1^4*T2 - 5*T1^5*T2 - 
     5*T1^6*T2 + 5*T1^7*T2 - 5*T1^8*T2 + 5*T1^9*T2 - 5*T1^11*T2 + 5*T1*T2^2 - 
     5*T1^2*T2^2 + 5*T1^4*T2^2 - 10*T1^5*T2^2 + 15*T1^6*T2^2 - 10*T1^7*T2^2 + 
     5*T1^8*T2^2 - 5*T1^10*T2^2 + 5*T1^11*T2^2 + 5*T2^3 - 5*T1*T2^3 + 
     8*T1^3*T2^3 - 12*T1^4*T2^3 + 12*T1^5*T2^3 - 4*T1^6*T2^3 - 4*T1^7*T2^3 + 
     12*T1^8*T2^3 - 12*T1^9*T2^3 + 8*T1^10*T2^3 - 5*T1^12*T2^3 + 
     5*T1^13*T2^3 - 10*T2^4 + 5*T1*T2^4 + 5*T1^2*T2^4 - 12*T1^3*T2^4 + 
     9*T1^4*T2^4 - 9*T1^5*T2^4 + T1^7*T2^4 - 9*T1^9*T2^4 + 9*T1^10*T2^4 - 
     12*T1^11*T2^4 + 5*T1^12*T2^4 + 5*T1^13*T2^4 - 10*T1^14*T2^4 + 15*T2^5 - 
     5*T1*T2^5 - 10*T1^2*T2^5 + 12*T1^3*T2^5 - 9*T1^4*T2^5 + 20*T1^5*T2^5 - 
     7*T1^6*T2^5 + T1^7*T2^5 + T1^8*T2^5 - 7*T1^9*T2^5 + 20*T1^10*T2^5 - 
     9*T1^11*T2^5 + 12*T1^12*T2^5 - 10*T1^13*T2^5 - 5*T1^14*T2^5 + 
     15*T1^15*T2^5 - 10*T2^6 - 5*T1*T2^6 + 15*T1^2*T2^6 - 4*T1^3*T2^6 - 
     7*T1^5*T2^6 - 13*T1^6*T2^6 + 14*T1^7*T2^6 - 7*T1^8*T2^6 + 14*T1^9*T2^6 - 
     13*T1^10*T2^6 - 7*T1^11*T2^6 - 4*T1^13*T2^6 + 15*T1^14*T2^6 - 
     5*T1^15*T2^6 - 10*T1^16*T2^6 + 5*T2^7 + 5*T1*T2^7 - 10*T1^2*T2^7 - 
     4*T1^3*T2^7 + T1^4*T2^7 + T1^5*T2^7 + 14*T1^6*T2^7 - 8*T1^7*T2^7 - 
     4*T1^8*T2^7 - 4*T1^9*T2^7 - 8*T1^10*T2^7 + 14*T1^11*T2^7 + T1^12*T2^7 + 
     T1^13*T2^7 - 4*T1^14*T2^7 - 10*T1^15*T2^7 + 5*T1^16*T2^7 + 
     5*T1^17*T2^7 - 5*T1*T2^8 + 5*T1^2*T2^8 + 12*T1^3*T2^8 + T1^5*T2^8 - 
     7*T1^6*T2^8 - 4*T1^7*T2^8 + 13*T1^8*T2^8 + 3*T1^9*T2^8 + 13*T1^10*T2^8 - 
     4*T1^11*T2^8 - 7*T1^12*T2^8 + T1^13*T2^8 + 12*T1^15*T2^8 + 
     5*T1^16*T2^8 - 5*T1^17*T2^8 - 5*T2^9 + 5*T1*T2^9 - 12*T1^3*T2^9 - 
     9*T1^4*T2^9 - 7*T1^5*T2^9 + 14*T1^6*T2^9 - 4*T1^7*T2^9 + 3*T1^8*T2^9 - 
     16*T1^9*T2^9 - 16*T1^10*T2^9 + 3*T1^11*T2^9 - 4*T1^12*T2^9 + 
     14*T1^13*T2^9 - 7*T1^14*T2^9 - 9*T1^15*T2^9 - 12*T1^16*T2^9 + 
     5*T1^18*T2^9 - 5*T1^19*T2^9 + 5*T2^10 - 5*T1^2*T2^10 + 8*T1^3*T2^10 + 
     9*T1^4*T2^10 + 20*T1^5*T2^10 - 13*T1^6*T2^10 - 8*T1^7*T2^10 + 
     13*T1^8*T2^10 - 16*T1^9*T2^10 + 48*T1^10*T2^10 - 16*T1^11*T2^10 + 
     13*T1^12*T2^10 - 8*T1^13*T2^10 - 13*T1^14*T2^10 + 20*T1^15*T2^10 + 
     9*T1^16*T2^10 + 8*T1^17*T2^10 - 5*T1^18*T2^10 + 5*T1^20*T2^10 - 
     5*T1*T2^11 + 5*T1^2*T2^11 - 12*T1^4*T2^11 - 9*T1^5*T2^11 - 
     7*T1^6*T2^11 + 14*T1^7*T2^11 - 4*T1^8*T2^11 + 3*T1^9*T2^11 - 
     16*T1^10*T2^11 - 16*T1^11*T2^11 + 3*T1^12*T2^11 - 4*T1^13*T2^11 + 
     14*T1^14*T2^11 - 7*T1^15*T2^11 - 9*T1^16*T2^11 - 12*T1^17*T2^11 + 
     5*T1^19*T2^11 - 5*T1^20*T2^11 - 5*T1^3*T2^12 + 5*T1^4*T2^12 + 
     12*T1^5*T2^12 + T1^7*T2^12 - 7*T1^8*T2^12 - 4*T1^9*T2^12 + 
     13*T1^10*T2^12 + 3*T1^11*T2^12 + 13*T1^12*T2^12 - 4*T1^13*T2^12 - 
     7*T1^14*T2^12 + T1^15*T2^12 + 12*T1^17*T2^12 + 5*T1^18*T2^12 - 
     5*T1^19*T2^12 + 5*T1^3*T2^13 + 5*T1^4*T2^13 - 10*T1^5*T2^13 - 
     4*T1^6*T2^13 + T1^7*T2^13 + T1^8*T2^13 + 14*T1^9*T2^13 - 8*T1^10*T2^13 - 
     4*T1^11*T2^13 - 4*T1^12*T2^13 - 8*T1^13*T2^13 + 14*T1^14*T2^13 + 
     T1^15*T2^13 + T1^16*T2^13 - 4*T1^17*T2^13 - 10*T1^18*T2^13 + 
     5*T1^19*T2^13 + 5*T1^20*T2^13 - 10*T1^4*T2^14 - 5*T1^5*T2^14 + 
     15*T1^6*T2^14 - 4*T1^7*T2^14 - 7*T1^9*T2^14 - 13*T1^10*T2^14 + 
     14*T1^11*T2^14 - 7*T1^12*T2^14 + 14*T1^13*T2^14 - 13*T1^14*T2^14 - 
     7*T1^15*T2^14 - 4*T1^17*T2^14 + 15*T1^18*T2^14 - 5*T1^19*T2^14 - 
     10*T1^20*T2^14 + 15*T1^5*T2^15 - 5*T1^6*T2^15 - 10*T1^7*T2^15 + 
     12*T1^8*T2^15 - 9*T1^9*T2^15 + 20*T1^10*T2^15 - 7*T1^11*T2^15 + 
     T1^12*T2^15 + T1^13*T2^15 - 7*T1^14*T2^15 + 20*T1^15*T2^15 - 
     9*T1^16*T2^15 + 12*T1^17*T2^15 - 10*T1^18*T2^15 - 5*T1^19*T2^15 + 
     15*T1^20*T2^15 - 10*T1^6*T2^16 + 5*T1^7*T2^16 + 5*T1^8*T2^16 - 
     12*T1^9*T2^16 + 9*T1^10*T2^16 - 9*T1^11*T2^16 + T1^13*T2^16 - 
     9*T1^15*T2^16 + 9*T1^16*T2^16 - 12*T1^17*T2^16 + 5*T1^18*T2^16 + 
     5*T1^19*T2^16 - 10*T1^20*T2^16 + 5*T1^7*T2^17 - 5*T1^8*T2^17 + 
     8*T1^10*T2^17 - 12*T1^11*T2^17 + 12*T1^12*T2^17 - 4*T1^13*T2^17 - 
     4*T1^14*T2^17 + 12*T1^15*T2^17 - 12*T1^16*T2^17 + 8*T1^17*T2^17 - 
     5*T1^19*T2^17 + 5*T1^20*T2^17 + 5*T1^9*T2^18 - 5*T1^10*T2^18 + 
     5*T1^12*T2^18 - 10*T1^13*T2^18 + 15*T1^14*T2^18 - 10*T1^15*T2^18 + 
     5*T1^16*T2^18 - 5*T1^18*T2^18 + 5*T1^19*T2^18 - 5*T1^9*T2^19 + 
     5*T1^11*T2^19 - 5*T1^12*T2^19 + 5*T1^13*T2^19 - 5*T1^14*T2^19 - 
     5*T1^15*T2^19 + 5*T1^16*T2^19 - 5*T1^17*T2^19 + 5*T1^18*T2^19 - 
     5*T1^20*T2^19 + 5*T1^10*T2^20 - 5*T1^11*T2^20 + 5*T1^13*T2^20 - 
     10*T1^14*T2^20 + 15*T1^15*T2^20 - 10*T1^16*T2^20 + 5*T1^17*T2^20 - 
     5*T1^19*T2^20 + 5*T1^20*T2^20)/(T1^10*T2^10)}, 
 Knot[12, NonAlternating, 726] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 3*T + 2*T^2))/T^2), 
   (-2*(40 - 160*T1 + 228*T1^2 - 160*T1^3 + 40*T1^4 - 160*T2 + 480*T1*T2 - 
      264*T1^2*T2 - 264*T1^3*T2 + 480*T1^4*T2 - 160*T1^5*T2 + 228*T2^2 - 
      264*T1*T2^2 - 1087*T1^2*T2^2 + 1840*T1^3*T2^2 - 1087*T1^4*T2^2 - 
      264*T1^5*T2^2 + 228*T1^6*T2^2 - 160*T2^3 - 264*T1*T2^3 + 
      1840*T1^2*T2^3 - 1010*T1^3*T2^3 - 1010*T1^4*T2^3 + 1840*T1^5*T2^3 - 
      264*T1^6*T2^3 - 160*T1^7*T2^3 + 40*T2^4 + 480*T1*T2^4 - 
      1087*T1^2*T2^4 - 1010*T1^3*T2^4 + 2142*T1^4*T2^4 - 1010*T1^5*T2^4 - 
      1087*T1^6*T2^4 + 480*T1^7*T2^4 + 40*T1^8*T2^4 - 160*T1*T2^5 - 
      264*T1^2*T2^5 + 1840*T1^3*T2^5 - 1010*T1^4*T2^5 - 1010*T1^5*T2^5 + 
      1840*T1^6*T2^5 - 264*T1^7*T2^5 - 160*T1^8*T2^5 + 228*T1^2*T2^6 - 
      264*T1^3*T2^6 - 1087*T1^4*T2^6 + 1840*T1^5*T2^6 - 1087*T1^6*T2^6 - 
      264*T1^7*T2^6 + 228*T1^8*T2^6 - 160*T1^3*T2^7 + 480*T1^4*T2^7 - 
      264*T1^5*T2^7 - 264*T1^6*T2^7 + 480*T1^7*T2^7 - 160*T1^8*T2^7 + 
      40*T1^4*T2^8 - 160*T1^5*T2^8 + 228*T1^6*T2^8 - 160*T1^7*T2^8 + 
      40*T1^8*T2^8))/(T1^4*T2^4)}, Knot[12, NonAlternating, 727] -> 
  {(2 - 10*T + 21*T^2 - 25*T^3 + 21*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (7 - 35*T1 + 72*T1^2 - 85*T1^3 + 72*T1^4 - 35*T1^5 + 7*T1^6 - 35*T2 + 
     140*T1*T2 - 185*T1^2*T2 + 65*T1^3*T2 + 65*T1^4*T2 - 185*T1^5*T2 + 
     140*T1^6*T2 - 35*T1^7*T2 + 72*T2^2 - 185*T1*T2^2 - 73*T1^2*T2^2 + 
     612*T1^3*T2^2 - 727*T1^4*T2^2 + 612*T1^5*T2^2 - 73*T1^6*T2^2 - 
     185*T1^7*T2^2 + 72*T1^8*T2^2 - 85*T2^3 + 65*T1*T2^3 + 612*T1^2*T2^3 - 
     1114*T1^3*T2^3 + 379*T1^4*T2^3 + 379*T1^5*T2^3 - 1114*T1^6*T2^3 + 
     612*T1^7*T2^3 + 65*T1^8*T2^3 - 85*T1^9*T2^3 + 72*T2^4 + 65*T1*T2^4 - 
     727*T1^2*T2^4 + 379*T1^3*T2^4 + 1355*T1^4*T2^4 - 1881*T1^5*T2^4 + 
     1355*T1^6*T2^4 + 379*T1^7*T2^4 - 727*T1^8*T2^4 + 65*T1^9*T2^4 + 
     72*T1^10*T2^4 - 35*T2^5 - 185*T1*T2^5 + 612*T1^2*T2^5 + 379*T1^3*T2^5 - 
     1881*T1^4*T2^5 + 904*T1^5*T2^5 + 904*T1^6*T2^5 - 1881*T1^7*T2^5 + 
     379*T1^8*T2^5 + 612*T1^9*T2^5 - 185*T1^10*T2^5 - 35*T1^11*T2^5 + 
     7*T2^6 + 140*T1*T2^6 - 73*T1^2*T2^6 - 1114*T1^3*T2^6 + 1355*T1^4*T2^6 + 
     904*T1^5*T2^6 - 2052*T1^6*T2^6 + 904*T1^7*T2^6 + 1355*T1^8*T2^6 - 
     1114*T1^9*T2^6 - 73*T1^10*T2^6 + 140*T1^11*T2^6 + 7*T1^12*T2^6 - 
     35*T1*T2^7 - 185*T1^2*T2^7 + 612*T1^3*T2^7 + 379*T1^4*T2^7 - 
     1881*T1^5*T2^7 + 904*T1^6*T2^7 + 904*T1^7*T2^7 - 1881*T1^8*T2^7 + 
     379*T1^9*T2^7 + 612*T1^10*T2^7 - 185*T1^11*T2^7 - 35*T1^12*T2^7 + 
     72*T1^2*T2^8 + 65*T1^3*T2^8 - 727*T1^4*T2^8 + 379*T1^5*T2^8 + 
     1355*T1^6*T2^8 - 1881*T1^7*T2^8 + 1355*T1^8*T2^8 + 379*T1^9*T2^8 - 
     727*T1^10*T2^8 + 65*T1^11*T2^8 + 72*T1^12*T2^8 - 85*T1^3*T2^9 + 
     65*T1^4*T2^9 + 612*T1^5*T2^9 - 1114*T1^6*T2^9 + 379*T1^7*T2^9 + 
     379*T1^8*T2^9 - 1114*T1^9*T2^9 + 612*T1^10*T2^9 + 65*T1^11*T2^9 - 
     85*T1^12*T2^9 + 72*T1^4*T2^10 - 185*T1^5*T2^10 - 73*T1^6*T2^10 + 
     612*T1^7*T2^10 - 727*T1^8*T2^10 + 612*T1^9*T2^10 - 73*T1^10*T2^10 - 
     185*T1^11*T2^10 + 72*T1^12*T2^10 - 35*T1^5*T2^11 + 140*T1^6*T2^11 - 
     185*T1^7*T2^11 + 65*T1^8*T2^11 + 65*T1^9*T2^11 - 185*T1^10*T2^11 + 
     140*T1^11*T2^11 - 35*T1^12*T2^11 + 7*T1^6*T2^12 - 35*T1^7*T2^12 + 
     72*T1^8*T2^12 - 85*T1^9*T2^12 + 72*T1^10*T2^12 - 35*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, 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), -((1 - 5*T1 + 13*T1^2 - 22*T1^3 + 25*T1^4 - 22*T1^5 + 13*T1^6 - 
      5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 40*T1^2*T2 + 45*T1^3*T2 - 
      15*T1^4*T2 - 15*T1^5*T2 + 45*T1^6*T2 - 40*T1^7*T2 + 20*T1^8*T2 - 
      5*T1^9*T2 + 13*T2^2 - 40*T1*T2^2 + 58*T1^2*T2^2 - 24*T1^3*T2^2 - 
      73*T1^4*T2^2 + 80*T1^5*T2^2 - 73*T1^6*T2^2 - 24*T1^7*T2^2 + 
      58*T1^8*T2^2 - 40*T1^9*T2^2 + 13*T1^10*T2^2 - 22*T2^3 + 45*T1*T2^3 - 
      24*T1^2*T2^3 - 86*T1^3*T2^3 + 219*T1^4*T2^3 - 45*T1^5*T2^3 - 
      45*T1^6*T2^3 + 219*T1^7*T2^3 - 86*T1^8*T2^3 - 24*T1^9*T2^3 + 
      45*T1^10*T2^3 - 22*T1^11*T2^3 + 25*T2^4 - 15*T1*T2^4 - 73*T1^2*T2^4 + 
      219*T1^3*T2^4 - 208*T1^4*T2^4 - 286*T1^5*T2^4 + 274*T1^6*T2^4 - 
      286*T1^7*T2^4 - 208*T1^8*T2^4 + 219*T1^9*T2^4 - 73*T1^10*T2^4 - 
      15*T1^11*T2^4 + 25*T1^12*T2^4 - 22*T2^5 - 15*T1*T2^5 + 80*T1^2*T2^5 - 
      45*T1^3*T2^5 - 286*T1^4*T2^5 + 818*T1^5*T2^5 - 187*T1^6*T2^5 - 
      187*T1^7*T2^5 + 818*T1^8*T2^5 - 286*T1^9*T2^5 - 45*T1^10*T2^5 + 
      80*T1^11*T2^5 - 15*T1^12*T2^5 - 22*T1^13*T2^5 + 13*T2^6 + 45*T1*T2^6 - 
      73*T1^2*T2^6 - 45*T1^3*T2^6 + 274*T1^4*T2^6 - 187*T1^5*T2^6 - 
      1109*T1^6*T2^6 + 1239*T1^7*T2^6 - 1109*T1^8*T2^6 - 187*T1^9*T2^6 + 
      274*T1^10*T2^6 - 45*T1^11*T2^6 - 73*T1^12*T2^6 + 45*T1^13*T2^6 + 
      13*T1^14*T2^6 - 5*T2^7 - 40*T1*T2^7 - 24*T1^2*T2^7 + 219*T1^3*T2^7 - 
      286*T1^4*T2^7 - 187*T1^5*T2^7 + 1239*T1^6*T2^7 - 388*T1^7*T2^7 - 
      388*T1^8*T2^7 + 1239*T1^9*T2^7 - 187*T1^10*T2^7 - 286*T1^11*T2^7 + 
      219*T1^12*T2^7 - 24*T1^13*T2^7 - 40*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 
      20*T1*T2^8 + 58*T1^2*T2^8 - 86*T1^3*T2^8 - 208*T1^4*T2^8 + 
      818*T1^5*T2^8 - 1109*T1^6*T2^8 - 388*T1^7*T2^8 + 696*T1^8*T2^8 - 
      388*T1^9*T2^8 - 1109*T1^10*T2^8 + 818*T1^11*T2^8 - 208*T1^12*T2^8 - 
      86*T1^13*T2^8 + 58*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 
      5*T1*T2^9 - 40*T1^2*T2^9 - 24*T1^3*T2^9 + 219*T1^4*T2^9 - 
      286*T1^5*T2^9 - 187*T1^6*T2^9 + 1239*T1^7*T2^9 - 388*T1^8*T2^9 - 
      388*T1^9*T2^9 + 1239*T1^10*T2^9 - 187*T1^11*T2^9 - 286*T1^12*T2^9 + 
      219*T1^13*T2^9 - 24*T1^14*T2^9 - 40*T1^15*T2^9 - 5*T1^16*T2^9 + 
      13*T1^2*T2^10 + 45*T1^3*T2^10 - 73*T1^4*T2^10 - 45*T1^5*T2^10 + 
      274*T1^6*T2^10 - 187*T1^7*T2^10 - 1109*T1^8*T2^10 + 1239*T1^9*T2^10 - 
      1109*T1^10*T2^10 - 187*T1^11*T2^10 + 274*T1^12*T2^10 - 45*T1^13*T2^10 - 
      73*T1^14*T2^10 + 45*T1^15*T2^10 + 13*T1^16*T2^10 - 22*T1^3*T2^11 - 
      15*T1^4*T2^11 + 80*T1^5*T2^11 - 45*T1^6*T2^11 - 286*T1^7*T2^11 + 
      818*T1^8*T2^11 - 187*T1^9*T2^11 - 187*T1^10*T2^11 + 818*T1^11*T2^11 - 
      286*T1^12*T2^11 - 45*T1^13*T2^11 + 80*T1^14*T2^11 - 15*T1^15*T2^11 - 
      22*T1^16*T2^11 + 25*T1^4*T2^12 - 15*T1^5*T2^12 - 73*T1^6*T2^12 + 
      219*T1^7*T2^12 - 208*T1^8*T2^12 - 286*T1^9*T2^12 + 274*T1^10*T2^12 - 
      286*T1^11*T2^12 - 208*T1^12*T2^12 + 219*T1^13*T2^12 - 73*T1^14*T2^12 - 
      15*T1^15*T2^12 + 25*T1^16*T2^12 - 22*T1^5*T2^13 + 45*T1^6*T2^13 - 
      24*T1^7*T2^13 - 86*T1^8*T2^13 + 219*T1^9*T2^13 - 45*T1^10*T2^13 - 
      45*T1^11*T2^13 + 219*T1^12*T2^13 - 86*T1^13*T2^13 - 24*T1^14*T2^13 + 
      45*T1^15*T2^13 - 22*T1^16*T2^13 + 13*T1^6*T2^14 - 40*T1^7*T2^14 + 
      58*T1^8*T2^14 - 24*T1^9*T2^14 - 73*T1^10*T2^14 + 80*T1^11*T2^14 - 
      73*T1^12*T2^14 - 24*T1^13*T2^14 + 58*T1^14*T2^14 - 40*T1^15*T2^14 + 
      13*T1^16*T2^14 - 5*T1^7*T2^15 + 20*T1^8*T2^15 - 40*T1^9*T2^15 + 
      45*T1^10*T2^15 - 15*T1^11*T2^15 - 15*T1^12*T2^15 + 45*T1^13*T2^15 - 
      40*T1^14*T2^15 + 20*T1^15*T2^15 - 5*T1^16*T2^15 + T1^8*T2^16 - 
      5*T1^9*T2^16 + 13*T1^10*T2^16 - 22*T1^11*T2^16 + 25*T1^12*T2^16 - 
      22*T1^13*T2^16 + 13*T1^14*T2^16 - 5*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, NonAlternating, 729] -> 
  {-((2 - 9*T + 16*T^2 - 19*T^3 + 16*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((17 - 76*T1 + 134*T1^2 - 159*T1^3 + 134*T1^4 - 76*T1^5 + 17*T1^6 - 
      76*T2 + 264*T1*T2 - 257*T1^2*T2 + 111*T1^3*T2 + 111*T1^4*T2 - 
      257*T1^5*T2 + 264*T1^6*T2 - 76*T1^7*T2 + 134*T2^2 - 257*T1*T2^2 - 
      346*T1^2*T2^2 + 864*T1^3*T2^2 - 1118*T1^4*T2^2 + 864*T1^5*T2^2 - 
      346*T1^6*T2^2 - 257*T1^7*T2^2 + 134*T1^8*T2^2 - 159*T2^3 + 
      111*T1*T2^3 + 864*T1^2*T2^3 - 832*T1^3*T2^3 + 404*T1^4*T2^3 + 
      404*T1^5*T2^3 - 832*T1^6*T2^3 + 864*T1^7*T2^3 + 111*T1^8*T2^3 - 
      159*T1^9*T2^3 + 134*T2^4 + 111*T1*T2^4 - 1118*T1^2*T2^4 + 
      404*T1^3*T2^4 - 11*T1^4*T2^4 - 361*T1^5*T2^4 - 11*T1^6*T2^4 + 
      404*T1^7*T2^4 - 1118*T1^8*T2^4 + 111*T1^9*T2^4 + 134*T1^10*T2^4 - 
      76*T2^5 - 257*T1*T2^5 + 864*T1^2*T2^5 + 404*T1^3*T2^5 - 361*T1^4*T2^5 + 
      310*T1^5*T2^5 + 310*T1^6*T2^5 - 361*T1^7*T2^5 + 404*T1^8*T2^5 + 
      864*T1^9*T2^5 - 257*T1^10*T2^5 - 76*T1^11*T2^5 + 17*T2^6 + 
      264*T1*T2^6 - 346*T1^2*T2^6 - 832*T1^3*T2^6 - 11*T1^4*T2^6 + 
      310*T1^5*T2^6 - 744*T1^6*T2^6 + 310*T1^7*T2^6 - 11*T1^8*T2^6 - 
      832*T1^9*T2^6 - 346*T1^10*T2^6 + 264*T1^11*T2^6 + 17*T1^12*T2^6 - 
      76*T1*T2^7 - 257*T1^2*T2^7 + 864*T1^3*T2^7 + 404*T1^4*T2^7 - 
      361*T1^5*T2^7 + 310*T1^6*T2^7 + 310*T1^7*T2^7 - 361*T1^8*T2^7 + 
      404*T1^9*T2^7 + 864*T1^10*T2^7 - 257*T1^11*T2^7 - 76*T1^12*T2^7 + 
      134*T1^2*T2^8 + 111*T1^3*T2^8 - 1118*T1^4*T2^8 + 404*T1^5*T2^8 - 
      11*T1^6*T2^8 - 361*T1^7*T2^8 - 11*T1^8*T2^8 + 404*T1^9*T2^8 - 
      1118*T1^10*T2^8 + 111*T1^11*T2^8 + 134*T1^12*T2^8 - 159*T1^3*T2^9 + 
      111*T1^4*T2^9 + 864*T1^5*T2^9 - 832*T1^6*T2^9 + 404*T1^7*T2^9 + 
      404*T1^8*T2^9 - 832*T1^9*T2^9 + 864*T1^10*T2^9 + 111*T1^11*T2^9 - 
      159*T1^12*T2^9 + 134*T1^4*T2^10 - 257*T1^5*T2^10 - 346*T1^6*T2^10 + 
      864*T1^7*T2^10 - 1118*T1^8*T2^10 + 864*T1^9*T2^10 - 346*T1^10*T2^10 - 
      257*T1^11*T2^10 + 134*T1^12*T2^10 - 76*T1^5*T2^11 + 264*T1^6*T2^11 - 
      257*T1^7*T2^11 + 111*T1^8*T2^11 + 111*T1^9*T2^11 - 257*T1^10*T2^11 + 
      264*T1^11*T2^11 - 76*T1^12*T2^11 + 17*T1^6*T2^12 - 76*T1^7*T2^12 + 
      134*T1^8*T2^12 - 159*T1^9*T2^12 + 134*T1^10*T2^12 - 76*T1^11*T2^12 + 
      17*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 730] -> 
  {(1 - 4*T + 11*T^2 - 15*T^3 + 11*T^4 - 4*T^5 + T^6)/T^3, 
   (1 - 4*T1 + 11*T1^2 - 15*T1^3 + 11*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 
     12*T1*T2 - 30*T1^2*T2 + 17*T1^3*T2 + 17*T1^4*T2 - 30*T1^5*T2 + 
     12*T1^6*T2 - 4*T1^7*T2 + 11*T2^2 - 30*T1*T2^2 + 85*T1^2*T2^2 - 
     45*T1^3*T2^2 + 11*T1^4*T2^2 - 45*T1^5*T2^2 + 85*T1^6*T2^2 - 
     30*T1^7*T2^2 + 11*T1^8*T2^2 - 15*T2^3 + 17*T1*T2^3 - 45*T1^2*T2^3 - 
     130*T1^3*T2^3 + 90*T1^4*T2^3 + 90*T1^5*T2^3 - 130*T1^6*T2^3 - 
     45*T1^7*T2^3 + 17*T1^8*T2^3 - 15*T1^9*T2^3 + 11*T2^4 + 17*T1*T2^4 + 
     11*T1^2*T2^4 + 90*T1^3*T2^4 + 423*T1^4*T2^4 - 741*T1^5*T2^4 + 
     423*T1^6*T2^4 + 90*T1^7*T2^4 + 11*T1^8*T2^4 + 17*T1^9*T2^4 + 
     11*T1^10*T2^4 - 4*T2^5 - 30*T1*T2^5 - 45*T1^2*T2^5 + 90*T1^3*T2^5 - 
     741*T1^4*T2^5 + 442*T1^5*T2^5 + 442*T1^6*T2^5 - 741*T1^7*T2^5 + 
     90*T1^8*T2^5 - 45*T1^9*T2^5 - 30*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 
     12*T1*T2^6 + 85*T1^2*T2^6 - 130*T1^3*T2^6 + 423*T1^4*T2^6 + 
     442*T1^5*T2^6 - 996*T1^6*T2^6 + 442*T1^7*T2^6 + 423*T1^8*T2^6 - 
     130*T1^9*T2^6 + 85*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 
     30*T1^2*T2^7 - 45*T1^3*T2^7 + 90*T1^4*T2^7 - 741*T1^5*T2^7 + 
     442*T1^6*T2^7 + 442*T1^7*T2^7 - 741*T1^8*T2^7 + 90*T1^9*T2^7 - 
     45*T1^10*T2^7 - 30*T1^11*T2^7 - 4*T1^12*T2^7 + 11*T1^2*T2^8 + 
     17*T1^3*T2^8 + 11*T1^4*T2^8 + 90*T1^5*T2^8 + 423*T1^6*T2^8 - 
     741*T1^7*T2^8 + 423*T1^8*T2^8 + 90*T1^9*T2^8 + 11*T1^10*T2^8 + 
     17*T1^11*T2^8 + 11*T1^12*T2^8 - 15*T1^3*T2^9 + 17*T1^4*T2^9 - 
     45*T1^5*T2^9 - 130*T1^6*T2^9 + 90*T1^7*T2^9 + 90*T1^8*T2^9 - 
     130*T1^9*T2^9 - 45*T1^10*T2^9 + 17*T1^11*T2^9 - 15*T1^12*T2^9 + 
     11*T1^4*T2^10 - 30*T1^5*T2^10 + 85*T1^6*T2^10 - 45*T1^7*T2^10 + 
     11*T1^8*T2^10 - 45*T1^9*T2^10 + 85*T1^10*T2^10 - 30*T1^11*T2^10 + 
     11*T1^12*T2^10 - 4*T1^5*T2^11 + 12*T1^6*T2^11 - 30*T1^7*T2^11 + 
     17*T1^8*T2^11 + 17*T1^9*T2^11 - 30*T1^10*T2^11 + 12*T1^11*T2^11 - 
     4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 11*T1^8*T2^12 - 
     15*T1^9*T2^12 + 11*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 731] -> 
  {-(((-2 + 5*T - 3*T^2 + T^3)*(-1 + 3*T - 5*T^2 + 2*T^3))/T^3), 
   (1 - 6*T1 + 16*T1^2 - 23*T1^3 + 16*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     30*T1*T2 - 64*T1^2*T2 + 48*T1^3*T2 + 48*T1^4*T2 - 64*T1^5*T2 + 
     30*T1^6*T2 - 6*T1^7*T2 + 16*T2^2 - 64*T1*T2^2 + 111*T1^2*T2^2 - 
     2*T1^3*T2^2 - 233*T1^4*T2^2 - 2*T1^5*T2^2 + 111*T1^6*T2^2 - 
     64*T1^7*T2^2 + 16*T1^8*T2^2 - 23*T2^3 + 48*T1*T2^3 - 2*T1^2*T2^3 - 
     318*T1^3*T2^3 + 517*T1^4*T2^3 + 517*T1^5*T2^3 - 318*T1^6*T2^3 - 
     2*T1^7*T2^3 + 48*T1^8*T2^3 - 23*T1^9*T2^3 + 16*T2^4 + 48*T1*T2^4 - 
     233*T1^2*T2^4 + 517*T1^3*T2^4 + 117*T1^4*T2^4 - 2065*T1^5*T2^4 + 
     117*T1^6*T2^4 + 517*T1^7*T2^4 - 233*T1^8*T2^4 + 48*T1^9*T2^4 + 
     16*T1^10*T2^4 - 6*T2^5 - 64*T1*T2^5 - 2*T1^2*T2^5 + 517*T1^3*T2^5 - 
     2065*T1^4*T2^5 + 2600*T1^5*T2^5 + 2600*T1^6*T2^5 - 2065*T1^7*T2^5 + 
     517*T1^8*T2^5 - 2*T1^9*T2^5 - 64*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
     30*T1*T2^6 + 111*T1^2*T2^6 - 318*T1^3*T2^6 + 117*T1^4*T2^6 + 
     2600*T1^5*T2^6 - 7428*T1^6*T2^6 + 2600*T1^7*T2^6 + 117*T1^8*T2^6 - 
     318*T1^9*T2^6 + 111*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 
     6*T1*T2^7 - 64*T1^2*T2^7 - 2*T1^3*T2^7 + 517*T1^4*T2^7 - 
     2065*T1^5*T2^7 + 2600*T1^6*T2^7 + 2600*T1^7*T2^7 - 2065*T1^8*T2^7 + 
     517*T1^9*T2^7 - 2*T1^10*T2^7 - 64*T1^11*T2^7 - 6*T1^12*T2^7 + 
     16*T1^2*T2^8 + 48*T1^3*T2^8 - 233*T1^4*T2^8 + 517*T1^5*T2^8 + 
     117*T1^6*T2^8 - 2065*T1^7*T2^8 + 117*T1^8*T2^8 + 517*T1^9*T2^8 - 
     233*T1^10*T2^8 + 48*T1^11*T2^8 + 16*T1^12*T2^8 - 23*T1^3*T2^9 + 
     48*T1^4*T2^9 - 2*T1^5*T2^9 - 318*T1^6*T2^9 + 517*T1^7*T2^9 + 
     517*T1^8*T2^9 - 318*T1^9*T2^9 - 2*T1^10*T2^9 + 48*T1^11*T2^9 - 
     23*T1^12*T2^9 + 16*T1^4*T2^10 - 64*T1^5*T2^10 + 111*T1^6*T2^10 - 
     2*T1^7*T2^10 - 233*T1^8*T2^10 - 2*T1^9*T2^10 + 111*T1^10*T2^10 - 
     64*T1^11*T2^10 + 16*T1^12*T2^10 - 6*T1^5*T2^11 + 30*T1^6*T2^11 - 
     64*T1^7*T2^11 + 48*T1^8*T2^11 + 48*T1^9*T2^11 - 64*T1^10*T2^11 + 
     30*T1^11*T2^11 - 6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 
     16*T1^8*T2^12 - 23*T1^9*T2^12 + 16*T1^10*T2^12 - 6*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 732] -> 
  {((1 - 3*T + T^2)*(1 - 6*T + 9*T^2 - 6*T^3 + T^4))/T^3, 
   (1 - 9*T1 + 28*T1^2 - 39*T1^3 + 28*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
     74*T1*T2 - 176*T1^2*T2 + 100*T1^3*T2 + 100*T1^4*T2 - 176*T1^5*T2 + 
     74*T1^6*T2 - 9*T1^7*T2 + 28*T2^2 - 176*T1*T2^2 + 73*T1^2*T2^2 + 
     992*T1^3*T2^2 - 1657*T1^4*T2^2 + 992*T1^5*T2^2 + 73*T1^6*T2^2 - 
     176*T1^7*T2^2 + 28*T1^8*T2^2 - 39*T2^3 + 100*T1*T2^3 + 992*T1^2*T2^3 - 
     3464*T1^3*T2^3 + 2035*T1^4*T2^3 + 2035*T1^5*T2^3 - 3464*T1^6*T2^3 + 
     992*T1^7*T2^3 + 100*T1^8*T2^3 - 39*T1^9*T2^3 + 28*T2^4 + 100*T1*T2^4 - 
     1657*T1^2*T2^4 + 2035*T1^3*T2^4 + 6247*T1^4*T2^4 - 11551*T1^5*T2^4 + 
     6247*T1^6*T2^4 + 2035*T1^7*T2^4 - 1657*T1^8*T2^4 + 100*T1^9*T2^4 + 
     28*T1^10*T2^4 - 9*T2^5 - 176*T1*T2^5 + 992*T1^2*T2^5 + 2035*T1^3*T2^5 - 
     11551*T1^4*T2^5 + 7026*T1^5*T2^5 + 7026*T1^6*T2^5 - 11551*T1^7*T2^5 + 
     2035*T1^8*T2^5 + 992*T1^9*T2^5 - 176*T1^10*T2^5 - 9*T1^11*T2^5 + T2^6 + 
     74*T1*T2^6 + 73*T1^2*T2^6 - 3464*T1^3*T2^6 + 6247*T1^4*T2^6 + 
     7026*T1^5*T2^6 - 15900*T1^6*T2^6 + 7026*T1^7*T2^6 + 6247*T1^8*T2^6 - 
     3464*T1^9*T2^6 + 73*T1^10*T2^6 + 74*T1^11*T2^6 + T1^12*T2^6 - 
     9*T1*T2^7 - 176*T1^2*T2^7 + 992*T1^3*T2^7 + 2035*T1^4*T2^7 - 
     11551*T1^5*T2^7 + 7026*T1^6*T2^7 + 7026*T1^7*T2^7 - 11551*T1^8*T2^7 + 
     2035*T1^9*T2^7 + 992*T1^10*T2^7 - 176*T1^11*T2^7 - 9*T1^12*T2^7 + 
     28*T1^2*T2^8 + 100*T1^3*T2^8 - 1657*T1^4*T2^8 + 2035*T1^5*T2^8 + 
     6247*T1^6*T2^8 - 11551*T1^7*T2^8 + 6247*T1^8*T2^8 + 2035*T1^9*T2^8 - 
     1657*T1^10*T2^8 + 100*T1^11*T2^8 + 28*T1^12*T2^8 - 39*T1^3*T2^9 + 
     100*T1^4*T2^9 + 992*T1^5*T2^9 - 3464*T1^6*T2^9 + 2035*T1^7*T2^9 + 
     2035*T1^8*T2^9 - 3464*T1^9*T2^9 + 992*T1^10*T2^9 + 100*T1^11*T2^9 - 
     39*T1^12*T2^9 + 28*T1^4*T2^10 - 176*T1^5*T2^10 + 73*T1^6*T2^10 + 
     992*T1^7*T2^10 - 1657*T1^8*T2^10 + 992*T1^9*T2^10 + 73*T1^10*T2^10 - 
     176*T1^11*T2^10 + 28*T1^12*T2^10 - 9*T1^5*T2^11 + 74*T1^6*T2^11 - 
     176*T1^7*T2^11 + 100*T1^8*T2^11 + 100*T1^9*T2^11 - 176*T1^10*T2^11 + 
     74*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 
     28*T1^8*T2^12 - 39*T1^9*T2^12 + 28*T1^10*T2^12 - 9*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 733] -> 
  {(2 - 12*T + 31*T^2 - 41*T^3 + 31*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (9 - 53*T1 + 136*T1^2 - 179*T1^3 + 136*T1^4 - 53*T1^5 + 9*T1^6 - 53*T2 + 
     260*T1*T2 - 491*T1^2*T2 + 255*T1^3*T2 + 255*T1^4*T2 - 491*T1^5*T2 + 
     260*T1^6*T2 - 53*T1^7*T2 + 136*T2^2 - 491*T1*T2^2 + 342*T1^2*T2^2 + 
     1261*T1^3*T2^2 - 2184*T1^4*T2^2 + 1261*T1^5*T2^2 + 342*T1^6*T2^2 - 
     491*T1^7*T2^2 + 136*T1^8*T2^2 - 179*T2^3 + 255*T1*T2^3 + 
     1261*T1^2*T2^3 - 4112*T1^3*T2^3 + 2271*T1^4*T2^3 + 2271*T1^5*T2^3 - 
     4112*T1^6*T2^3 + 1261*T1^7*T2^3 + 255*T1^8*T2^3 - 179*T1^9*T2^3 + 
     136*T2^4 + 255*T1*T2^4 - 2184*T1^2*T2^4 + 2271*T1^3*T2^4 + 
     6022*T1^4*T2^4 - 10814*T1^5*T2^4 + 6022*T1^6*T2^4 + 2271*T1^7*T2^4 - 
     2184*T1^8*T2^4 + 255*T1^9*T2^4 + 136*T1^10*T2^4 - 53*T2^5 - 
     491*T1*T2^5 + 1261*T1^2*T2^5 + 2271*T1^3*T2^5 - 10814*T1^4*T2^5 + 
     6132*T1^5*T2^5 + 6132*T1^6*T2^5 - 10814*T1^7*T2^5 + 2271*T1^8*T2^5 + 
     1261*T1^9*T2^5 - 491*T1^10*T2^5 - 53*T1^11*T2^5 + 9*T2^6 + 260*T1*T2^6 + 
     342*T1^2*T2^6 - 4112*T1^3*T2^6 + 6022*T1^4*T2^6 + 6132*T1^5*T2^6 - 
     13404*T1^6*T2^6 + 6132*T1^7*T2^6 + 6022*T1^8*T2^6 - 4112*T1^9*T2^6 + 
     342*T1^10*T2^6 + 260*T1^11*T2^6 + 9*T1^12*T2^6 - 53*T1*T2^7 - 
     491*T1^2*T2^7 + 1261*T1^3*T2^7 + 2271*T1^4*T2^7 - 10814*T1^5*T2^7 + 
     6132*T1^6*T2^7 + 6132*T1^7*T2^7 - 10814*T1^8*T2^7 + 2271*T1^9*T2^7 + 
     1261*T1^10*T2^7 - 491*T1^11*T2^7 - 53*T1^12*T2^7 + 136*T1^2*T2^8 + 
     255*T1^3*T2^8 - 2184*T1^4*T2^8 + 2271*T1^5*T2^8 + 6022*T1^6*T2^8 - 
     10814*T1^7*T2^8 + 6022*T1^8*T2^8 + 2271*T1^9*T2^8 - 2184*T1^10*T2^8 + 
     255*T1^11*T2^8 + 136*T1^12*T2^8 - 179*T1^3*T2^9 + 255*T1^4*T2^9 + 
     1261*T1^5*T2^9 - 4112*T1^6*T2^9 + 2271*T1^7*T2^9 + 2271*T1^8*T2^9 - 
     4112*T1^9*T2^9 + 1261*T1^10*T2^9 + 255*T1^11*T2^9 - 179*T1^12*T2^9 + 
     136*T1^4*T2^10 - 491*T1^5*T2^10 + 342*T1^6*T2^10 + 1261*T1^7*T2^10 - 
     2184*T1^8*T2^10 + 1261*T1^9*T2^10 + 342*T1^10*T2^10 - 491*T1^11*T2^10 + 
     136*T1^12*T2^10 - 53*T1^5*T2^11 + 260*T1^6*T2^11 - 491*T1^7*T2^11 + 
     255*T1^8*T2^11 + 255*T1^9*T2^11 - 491*T1^10*T2^11 + 260*T1^11*T2^11 - 
     53*T1^12*T2^11 + 9*T1^6*T2^12 - 53*T1^7*T2^12 + 136*T1^8*T2^12 - 
     179*T1^9*T2^12 + 136*T1^10*T2^12 - 53*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 734] -> 
  {-(((1 - 3*T + T^2)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^3), 
   -((17 - 84*T1 + 158*T1^2 - 191*T1^3 + 158*T1^4 - 84*T1^5 + 17*T1^6 - 
      84*T2 + 338*T1*T2 - 374*T1^2*T2 + 170*T1^3*T2 + 170*T1^4*T2 - 
      374*T1^5*T2 + 338*T1^6*T2 - 84*T1^7*T2 + 158*T2^2 - 374*T1*T2^2 - 
      471*T1^2*T2^2 + 1422*T1^3*T2^2 - 1911*T1^4*T2^2 + 1422*T1^5*T2^2 - 
      471*T1^6*T2^2 - 374*T1^7*T2^2 + 158*T1^8*T2^2 - 191*T2^3 + 
      170*T1*T2^3 + 1422*T1^2*T2^3 - 1682*T1^3*T2^3 + 851*T1^4*T2^3 + 
      851*T1^5*T2^3 - 1682*T1^6*T2^3 + 1422*T1^7*T2^3 + 170*T1^8*T2^3 - 
      191*T1^9*T2^3 + 158*T2^4 + 170*T1*T2^4 - 1911*T1^2*T2^4 + 
      851*T1^3*T2^4 + 419*T1^4*T2^4 - 1431*T1^5*T2^4 + 419*T1^6*T2^4 + 
      851*T1^7*T2^4 - 1911*T1^8*T2^4 + 170*T1^9*T2^4 + 158*T1^10*T2^4 - 
      84*T2^5 - 374*T1*T2^5 + 1422*T1^2*T2^5 + 851*T1^3*T2^5 - 
      1431*T1^4*T2^5 + 1036*T1^5*T2^5 + 1036*T1^6*T2^5 - 1431*T1^7*T2^5 + 
      851*T1^8*T2^5 + 1422*T1^9*T2^5 - 374*T1^10*T2^5 - 84*T1^11*T2^5 + 
      17*T2^6 + 338*T1*T2^6 - 471*T1^2*T2^6 - 1682*T1^3*T2^6 + 
      419*T1^4*T2^6 + 1036*T1^5*T2^6 - 2460*T1^6*T2^6 + 1036*T1^7*T2^6 + 
      419*T1^8*T2^6 - 1682*T1^9*T2^6 - 471*T1^10*T2^6 + 338*T1^11*T2^6 + 
      17*T1^12*T2^6 - 84*T1*T2^7 - 374*T1^2*T2^7 + 1422*T1^3*T2^7 + 
      851*T1^4*T2^7 - 1431*T1^5*T2^7 + 1036*T1^6*T2^7 + 1036*T1^7*T2^7 - 
      1431*T1^8*T2^7 + 851*T1^9*T2^7 + 1422*T1^10*T2^7 - 374*T1^11*T2^7 - 
      84*T1^12*T2^7 + 158*T1^2*T2^8 + 170*T1^3*T2^8 - 1911*T1^4*T2^8 + 
      851*T1^5*T2^8 + 419*T1^6*T2^8 - 1431*T1^7*T2^8 + 419*T1^8*T2^8 + 
      851*T1^9*T2^8 - 1911*T1^10*T2^8 + 170*T1^11*T2^8 + 158*T1^12*T2^8 - 
      191*T1^3*T2^9 + 170*T1^4*T2^9 + 1422*T1^5*T2^9 - 1682*T1^6*T2^9 + 
      851*T1^7*T2^9 + 851*T1^8*T2^9 - 1682*T1^9*T2^9 + 1422*T1^10*T2^9 + 
      170*T1^11*T2^9 - 191*T1^12*T2^9 + 158*T1^4*T2^10 - 374*T1^5*T2^10 - 
      471*T1^6*T2^10 + 1422*T1^7*T2^10 - 1911*T1^8*T2^10 + 1422*T1^9*T2^10 - 
      471*T1^10*T2^10 - 374*T1^11*T2^10 + 158*T1^12*T2^10 - 84*T1^5*T2^11 + 
      338*T1^6*T2^11 - 374*T1^7*T2^11 + 170*T1^8*T2^11 + 170*T1^9*T2^11 - 
      374*T1^10*T2^11 + 338*T1^11*T2^11 - 84*T1^12*T2^11 + 17*T1^6*T2^12 - 
      84*T1^7*T2^12 + 158*T1^8*T2^12 - 191*T1^9*T2^12 + 158*T1^10*T2^12 - 
      84*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 735] -> 
  {-((4 - 18*T + 27*T^2 - 18*T^3 + 4*T^4)/T^2), 
   -((80 - 360*T1 + 536*T1^2 - 360*T1^3 + 80*T1^4 - 360*T2 + 1286*T1*T2 - 
      798*T1^2*T2 - 798*T1^3*T2 + 1286*T1^4*T2 - 360*T1^5*T2 + 536*T2^2 - 
      798*T1*T2^2 - 3487*T1^2*T2^2 + 6477*T1^3*T2^2 - 3487*T1^4*T2^2 - 
      798*T1^5*T2^2 + 536*T1^6*T2^2 - 360*T2^3 - 798*T1*T2^3 + 
      6477*T1^2*T2^3 - 4240*T1^3*T2^3 - 4240*T1^4*T2^3 + 6477*T1^5*T2^3 - 
      798*T1^6*T2^3 - 360*T1^7*T2^3 + 80*T2^4 + 1286*T1*T2^4 - 
      3487*T1^2*T2^4 - 4240*T1^3*T2^4 + 9984*T1^4*T2^4 - 4240*T1^5*T2^4 - 
      3487*T1^6*T2^4 + 1286*T1^7*T2^4 + 80*T1^8*T2^4 - 360*T1*T2^5 - 
      798*T1^2*T2^5 + 6477*T1^3*T2^5 - 4240*T1^4*T2^5 - 4240*T1^5*T2^5 + 
      6477*T1^6*T2^5 - 798*T1^7*T2^5 - 360*T1^8*T2^5 + 536*T1^2*T2^6 - 
      798*T1^3*T2^6 - 3487*T1^4*T2^6 + 6477*T1^5*T2^6 - 3487*T1^6*T2^6 - 
      798*T1^7*T2^6 + 536*T1^8*T2^6 - 360*T1^3*T2^7 + 1286*T1^4*T2^7 - 
      798*T1^5*T2^7 - 798*T1^6*T2^7 + 1286*T1^7*T2^7 - 360*T1^8*T2^7 + 
      80*T1^4*T2^8 - 360*T1^5*T2^8 + 536*T1^6*T2^8 - 360*T1^7*T2^8 + 
      80*T1^8*T2^8)/(T1^4*T2^4))}, Knot[12, NonAlternating, 736] -> 
  {(2 - 13*T + 36*T^2 - 49*T^3 + 36*T^4 - 13*T^5 + 2*T^6)/T^3, 
   -((9 - 58*T1 + 160*T1^2 - 217*T1^3 + 160*T1^4 - 58*T1^5 + 9*T1^6 - 58*T2 + 
      316*T1*T2 - 663*T1^2*T2 + 371*T1^3*T2 + 371*T1^4*T2 - 663*T1^5*T2 + 
      316*T1^6*T2 - 58*T1^7*T2 + 160*T2^2 - 663*T1*T2^2 + 659*T1^2*T2^2 + 
      1643*T1^3*T2^2 - 3183*T1^4*T2^2 + 1643*T1^5*T2^2 + 659*T1^6*T2^2 - 
      663*T1^7*T2^2 + 160*T1^8*T2^2 - 217*T2^3 + 371*T1*T2^3 + 
      1643*T1^2*T2^3 - 6490*T1^3*T2^3 + 3951*T1^4*T2^3 + 3951*T1^5*T2^3 - 
      6490*T1^6*T2^3 + 1643*T1^7*T2^3 + 371*T1^8*T2^3 - 217*T1^9*T2^3 + 
      160*T2^4 + 371*T1*T2^4 - 3183*T1^2*T2^4 + 3951*T1^3*T2^4 + 
      10513*T1^4*T2^4 - 20139*T1^5*T2^4 + 10513*T1^6*T2^4 + 3951*T1^7*T2^4 - 
      3183*T1^8*T2^4 + 371*T1^9*T2^4 + 160*T1^10*T2^4 - 58*T2^5 - 
      663*T1*T2^5 + 1643*T1^2*T2^5 + 3951*T1^3*T2^5 - 20139*T1^4*T2^5 + 
      12418*T1^5*T2^5 + 12418*T1^6*T2^5 - 20139*T1^7*T2^5 + 3951*T1^8*T2^5 + 
      1643*T1^9*T2^5 - 663*T1^10*T2^5 - 58*T1^11*T2^5 + 9*T2^6 + 
      316*T1*T2^6 + 659*T1^2*T2^6 - 6490*T1^3*T2^6 + 10513*T1^4*T2^6 + 
      12418*T1^5*T2^6 - 28164*T1^6*T2^6 + 12418*T1^7*T2^6 + 10513*T1^8*T2^6 - 
      6490*T1^9*T2^6 + 659*T1^10*T2^6 + 316*T1^11*T2^6 + 9*T1^12*T2^6 - 
      58*T1*T2^7 - 663*T1^2*T2^7 + 1643*T1^3*T2^7 + 3951*T1^4*T2^7 - 
      20139*T1^5*T2^7 + 12418*T1^6*T2^7 + 12418*T1^7*T2^7 - 20139*T1^8*T2^7 + 
      3951*T1^9*T2^7 + 1643*T1^10*T2^7 - 663*T1^11*T2^7 - 58*T1^12*T2^7 + 
      160*T1^2*T2^8 + 371*T1^3*T2^8 - 3183*T1^4*T2^8 + 3951*T1^5*T2^8 + 
      10513*T1^6*T2^8 - 20139*T1^7*T2^8 + 10513*T1^8*T2^8 + 3951*T1^9*T2^8 - 
      3183*T1^10*T2^8 + 371*T1^11*T2^8 + 160*T1^12*T2^8 - 217*T1^3*T2^9 + 
      371*T1^4*T2^9 + 1643*T1^5*T2^9 - 6490*T1^6*T2^9 + 3951*T1^7*T2^9 + 
      3951*T1^8*T2^9 - 6490*T1^9*T2^9 + 1643*T1^10*T2^9 + 371*T1^11*T2^9 - 
      217*T1^12*T2^9 + 160*T1^4*T2^10 - 663*T1^5*T2^10 + 659*T1^6*T2^10 + 
      1643*T1^7*T2^10 - 3183*T1^8*T2^10 + 1643*T1^9*T2^10 + 659*T1^10*T2^10 - 
      663*T1^11*T2^10 + 160*T1^12*T2^10 - 58*T1^5*T2^11 + 316*T1^6*T2^11 - 
      663*T1^7*T2^11 + 371*T1^8*T2^11 + 371*T1^9*T2^11 - 663*T1^10*T2^11 + 
      316*T1^11*T2^11 - 58*T1^12*T2^11 + 9*T1^6*T2^12 - 58*T1^7*T2^12 + 
      160*T1^8*T2^12 - 217*T1^9*T2^12 + 160*T1^10*T2^12 - 58*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 737] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2 - T^3 + T^4))/T^3), 
   -((1 - 3*T1 + 4*T1^2 - 5*T1^3 + 4*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 - 
      3*T1^2*T2 + 3*T1^3*T2 + 3*T1^4*T2 - 3*T1^5*T2 + 6*T1^6*T2 - 3*T1^7*T2 + 
      4*T2^2 - 3*T1*T2^2 - 5*T1^2*T2^2 - 12*T1^3*T2^2 + 11*T1^4*T2^2 - 
      12*T1^5*T2^2 - 5*T1^6*T2^2 - 3*T1^7*T2^2 + 4*T1^8*T2^2 - 5*T2^3 + 
      3*T1*T2^3 - 12*T1^2*T2^3 + 88*T1^3*T2^3 - 34*T1^4*T2^3 - 34*T1^5*T2^3 + 
      88*T1^6*T2^3 - 12*T1^7*T2^3 + 3*T1^8*T2^3 - 5*T1^9*T2^3 + 4*T2^4 + 
      3*T1*T2^4 + 11*T1^2*T2^4 - 34*T1^3*T2^4 - 335*T1^4*T2^4 + 
      463*T1^5*T2^4 - 335*T1^6*T2^4 - 34*T1^7*T2^4 + 11*T1^8*T2^4 + 
      3*T1^9*T2^4 + 4*T1^10*T2^4 - 3*T2^5 - 3*T1*T2^5 - 12*T1^2*T2^5 - 
      34*T1^3*T2^5 + 463*T1^4*T2^5 - 184*T1^5*T2^5 - 184*T1^6*T2^5 + 
      463*T1^7*T2^5 - 34*T1^8*T2^5 - 12*T1^9*T2^5 - 3*T1^10*T2^5 - 
      3*T1^11*T2^5 + T2^6 + 6*T1*T2^6 - 5*T1^2*T2^6 + 88*T1^3*T2^6 - 
      335*T1^4*T2^6 - 184*T1^5*T2^6 + 300*T1^6*T2^6 - 184*T1^7*T2^6 - 
      335*T1^8*T2^6 + 88*T1^9*T2^6 - 5*T1^10*T2^6 + 6*T1^11*T2^6 + 
      T1^12*T2^6 - 3*T1*T2^7 - 3*T1^2*T2^7 - 12*T1^3*T2^7 - 34*T1^4*T2^7 + 
      463*T1^5*T2^7 - 184*T1^6*T2^7 - 184*T1^7*T2^7 + 463*T1^8*T2^7 - 
      34*T1^9*T2^7 - 12*T1^10*T2^7 - 3*T1^11*T2^7 - 3*T1^12*T2^7 + 
      4*T1^2*T2^8 + 3*T1^3*T2^8 + 11*T1^4*T2^8 - 34*T1^5*T2^8 - 
      335*T1^6*T2^8 + 463*T1^7*T2^8 - 335*T1^8*T2^8 - 34*T1^9*T2^8 + 
      11*T1^10*T2^8 + 3*T1^11*T2^8 + 4*T1^12*T2^8 - 5*T1^3*T2^9 + 
      3*T1^4*T2^9 - 12*T1^5*T2^9 + 88*T1^6*T2^9 - 34*T1^7*T2^9 - 
      34*T1^8*T2^9 + 88*T1^9*T2^9 - 12*T1^10*T2^9 + 3*T1^11*T2^9 - 
      5*T1^12*T2^9 + 4*T1^4*T2^10 - 3*T1^5*T2^10 - 5*T1^6*T2^10 - 
      12*T1^7*T2^10 + 11*T1^8*T2^10 - 12*T1^9*T2^10 - 5*T1^10*T2^10 - 
      3*T1^11*T2^10 + 4*T1^12*T2^10 - 3*T1^5*T2^11 + 6*T1^6*T2^11 - 
      3*T1^7*T2^11 + 3*T1^8*T2^11 + 3*T1^9*T2^11 - 3*T1^10*T2^11 + 
      6*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)/(T1^6*T2^6))}, Knot[12, NonAlternating, 738] -> 
  {-(((1 - T + T^2)*(2 - 11*T + 17*T^2 - 11*T^3 + 2*T^4))/T^3), 
   -((17 - 109*T1 + 249*T1^2 - 323*T1^3 + 249*T1^4 - 109*T1^5 + 17*T1^6 - 
      109*T2 + 596*T1*T2 - 893*T1^2*T2 + 469*T1^3*T2 + 469*T1^4*T2 - 
      893*T1^5*T2 + 596*T1^6*T2 - 109*T1^7*T2 + 249*T2^2 - 893*T1*T2^2 - 
      728*T1^2*T2^2 + 4149*T1^3*T2^2 - 6250*T1^4*T2^2 + 4149*T1^5*T2^2 - 
      728*T1^6*T2^2 - 893*T1^7*T2^2 + 249*T1^8*T2^2 - 323*T2^3 + 
      469*T1*T2^3 + 4149*T1^2*T2^3 - 7584*T1^3*T2^3 + 4386*T1^4*T2^3 + 
      4386*T1^5*T2^3 - 7584*T1^6*T2^3 + 4149*T1^7*T2^3 + 469*T1^8*T2^3 - 
      323*T1^9*T2^3 + 249*T2^4 + 469*T1*T2^4 - 6250*T1^2*T2^4 + 
      4386*T1^3*T2^4 + 4992*T1^4*T2^4 - 12318*T1^5*T2^4 + 4992*T1^6*T2^4 + 
      4386*T1^7*T2^4 - 6250*T1^8*T2^4 + 469*T1^9*T2^4 + 249*T1^10*T2^4 - 
      109*T2^5 - 893*T1*T2^5 + 4149*T1^2*T2^5 + 4386*T1^3*T2^5 - 
      12318*T1^4*T2^5 + 8312*T1^5*T2^5 + 8312*T1^6*T2^5 - 12318*T1^7*T2^5 + 
      4386*T1^8*T2^5 + 4149*T1^9*T2^5 - 893*T1^10*T2^5 - 109*T1^11*T2^5 + 
      17*T2^6 + 596*T1*T2^6 - 728*T1^2*T2^6 - 7584*T1^3*T2^6 + 
      4992*T1^4*T2^6 + 8312*T1^5*T2^6 - 19296*T1^6*T2^6 + 8312*T1^7*T2^6 + 
      4992*T1^8*T2^6 - 7584*T1^9*T2^6 - 728*T1^10*T2^6 + 596*T1^11*T2^6 + 
      17*T1^12*T2^6 - 109*T1*T2^7 - 893*T1^2*T2^7 + 4149*T1^3*T2^7 + 
      4386*T1^4*T2^7 - 12318*T1^5*T2^7 + 8312*T1^6*T2^7 + 8312*T1^7*T2^7 - 
      12318*T1^8*T2^7 + 4386*T1^9*T2^7 + 4149*T1^10*T2^7 - 893*T1^11*T2^7 - 
      109*T1^12*T2^7 + 249*T1^2*T2^8 + 469*T1^3*T2^8 - 6250*T1^4*T2^8 + 
      4386*T1^5*T2^8 + 4992*T1^6*T2^8 - 12318*T1^7*T2^8 + 4992*T1^8*T2^8 + 
      4386*T1^9*T2^8 - 6250*T1^10*T2^8 + 469*T1^11*T2^8 + 249*T1^12*T2^8 - 
      323*T1^3*T2^9 + 469*T1^4*T2^9 + 4149*T1^5*T2^9 - 7584*T1^6*T2^9 + 
      4386*T1^7*T2^9 + 4386*T1^8*T2^9 - 7584*T1^9*T2^9 + 4149*T1^10*T2^9 + 
      469*T1^11*T2^9 - 323*T1^12*T2^9 + 249*T1^4*T2^10 - 893*T1^5*T2^10 - 
      728*T1^6*T2^10 + 4149*T1^7*T2^10 - 6250*T1^8*T2^10 + 4149*T1^9*T2^10 - 
      728*T1^10*T2^10 - 893*T1^11*T2^10 + 249*T1^12*T2^10 - 109*T1^5*T2^11 + 
      596*T1^6*T2^11 - 893*T1^7*T2^11 + 469*T1^8*T2^11 + 469*T1^9*T2^11 - 
      893*T1^10*T2^11 + 596*T1^11*T2^11 - 109*T1^12*T2^11 + 17*T1^6*T2^12 - 
      109*T1^7*T2^12 + 249*T1^8*T2^12 - 323*T1^9*T2^12 + 249*T1^10*T2^12 - 
      109*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 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 + 24*T1*T2 - 8*T1^2*T2 - 48*T1^3*T2 + 32*T1^4*T2 + 
      32*T1^5*T2 - 48*T1^6*T2 - 8*T1^7*T2 + 24*T1^8*T2 - 8*T1^9*T2 + 
      10*T2^2 - 8*T1*T2^2 - 67*T1^2*T2^2 + 127*T1^3*T2^2 + 34*T1^4*T2^2 - 
      139*T1^5*T2^2 + 34*T1^6*T2^2 + 127*T1^7*T2^2 - 67*T1^8*T2^2 - 
      8*T1^9*T2^2 + 10*T1^10*T2^2 + 2*T2^3 - 48*T1*T2^3 + 127*T1^2*T2^3 - 
      28*T1^3*T2^3 - 253*T1^4*T2^3 + 160*T1^5*T2^3 + 160*T1^6*T2^3 - 
      253*T1^7*T2^3 - 28*T1^8*T2^3 + 127*T1^9*T2^3 - 48*T1^10*T2^3 + 
      2*T1^11*T2^3 - 10*T2^4 + 32*T1*T2^4 + 34*T1^2*T2^4 - 253*T1^3*T2^4 + 
      273*T1^4*T2^4 + 102*T1^5*T2^4 - 333*T1^6*T2^4 + 102*T1^7*T2^4 + 
      273*T1^8*T2^4 - 253*T1^9*T2^4 + 34*T1^10*T2^4 + 32*T1^11*T2^4 - 
      10*T1^12*T2^4 + 2*T2^5 + 32*T1*T2^5 - 139*T1^2*T2^5 + 160*T1^3*T2^5 + 
      102*T1^4*T2^5 - 258*T1^5*T2^5 + 148*T1^6*T2^5 + 148*T1^7*T2^5 - 
      258*T1^8*T2^5 + 102*T1^9*T2^5 + 160*T1^10*T2^5 - 139*T1^11*T2^5 + 
      32*T1^12*T2^5 + 2*T1^13*T2^5 + 10*T2^6 - 48*T1*T2^6 + 34*T1^2*T2^6 + 
      160*T1^3*T2^6 - 333*T1^4*T2^6 + 148*T1^5*T2^6 + 101*T1^6*T2^6 - 
      261*T1^7*T2^6 + 101*T1^8*T2^6 + 148*T1^9*T2^6 - 333*T1^10*T2^6 + 
      160*T1^11*T2^6 + 34*T1^12*T2^6 - 48*T1^13*T2^6 + 10*T1^14*T2^6 - 
      8*T2^7 - 8*T1*T2^7 + 127*T1^2*T2^7 - 253*T1^3*T2^7 + 102*T1^4*T2^7 + 
      148*T1^5*T2^7 - 261*T1^6*T2^7 + 154*T1^7*T2^7 + 154*T1^8*T2^7 - 
      261*T1^9*T2^7 + 148*T1^10*T2^7 + 102*T1^11*T2^7 - 253*T1^12*T2^7 + 
      127*T1^13*T2^7 - 8*T1^14*T2^7 - 8*T1^15*T2^7 + 2*T2^8 + 24*T1*T2^8 - 
      67*T1^2*T2^8 - 28*T1^3*T2^8 + 273*T1^4*T2^8 - 258*T1^5*T2^8 + 
      101*T1^6*T2^8 + 154*T1^7*T2^8 - 324*T1^8*T2^8 + 154*T1^9*T2^8 + 
      101*T1^10*T2^8 - 258*T1^11*T2^8 + 273*T1^12*T2^8 - 28*T1^13*T2^8 - 
      67*T1^14*T2^8 + 24*T1^15*T2^8 + 2*T1^16*T2^8 - 8*T1*T2^9 - 
      8*T1^2*T2^9 + 127*T1^3*T2^9 - 253*T1^4*T2^9 + 102*T1^5*T2^9 + 
      148*T1^6*T2^9 - 261*T1^7*T2^9 + 154*T1^8*T2^9 + 154*T1^9*T2^9 - 
      261*T1^10*T2^9 + 148*T1^11*T2^9 + 102*T1^12*T2^9 - 253*T1^13*T2^9 + 
      127*T1^14*T2^9 - 8*T1^15*T2^9 - 8*T1^16*T2^9 + 10*T1^2*T2^10 - 
      48*T1^3*T2^10 + 34*T1^4*T2^10 + 160*T1^5*T2^10 - 333*T1^6*T2^10 + 
      148*T1^7*T2^10 + 101*T1^8*T2^10 - 261*T1^9*T2^10 + 101*T1^10*T2^10 + 
      148*T1^11*T2^10 - 333*T1^12*T2^10 + 160*T1^13*T2^10 + 34*T1^14*T2^10 - 
      48*T1^15*T2^10 + 10*T1^16*T2^10 + 2*T1^3*T2^11 + 32*T1^4*T2^11 - 
      139*T1^5*T2^11 + 160*T1^6*T2^11 + 102*T1^7*T2^11 - 258*T1^8*T2^11 + 
      148*T1^9*T2^11 + 148*T1^10*T2^11 - 258*T1^11*T2^11 + 102*T1^12*T2^11 + 
      160*T1^13*T2^11 - 139*T1^14*T2^11 + 32*T1^15*T2^11 + 2*T1^16*T2^11 - 
      10*T1^4*T2^12 + 32*T1^5*T2^12 + 34*T1^6*T2^12 - 253*T1^7*T2^12 + 
      273*T1^8*T2^12 + 102*T1^9*T2^12 - 333*T1^10*T2^12 + 102*T1^11*T2^12 + 
      273*T1^12*T2^12 - 253*T1^13*T2^12 + 34*T1^14*T2^12 + 32*T1^15*T2^12 - 
      10*T1^16*T2^12 + 2*T1^5*T2^13 - 48*T1^6*T2^13 + 127*T1^7*T2^13 - 
      28*T1^8*T2^13 - 253*T1^9*T2^13 + 160*T1^10*T2^13 + 160*T1^11*T2^13 - 
      253*T1^12*T2^13 - 28*T1^13*T2^13 + 127*T1^14*T2^13 - 48*T1^15*T2^13 + 
      2*T1^16*T2^13 + 10*T1^6*T2^14 - 8*T1^7*T2^14 - 67*T1^8*T2^14 + 
      127*T1^9*T2^14 + 34*T1^10*T2^14 - 139*T1^11*T2^14 + 34*T1^12*T2^14 + 
      127*T1^13*T2^14 - 67*T1^14*T2^14 - 8*T1^15*T2^14 + 10*T1^16*T2^14 - 
      8*T1^7*T2^15 + 24*T1^8*T2^15 - 8*T1^9*T2^15 - 48*T1^10*T2^15 + 
      32*T1^11*T2^15 + 32*T1^12*T2^15 - 48*T1^13*T2^15 - 8*T1^14*T2^15 + 
      24*T1^15*T2^15 - 8*T1^16*T2^15 + 2*T1^8*T2^16 - 8*T1^9*T2^16 + 
      10*T1^10*T2^16 + 2*T1^11*T2^16 - 10*T1^12*T2^16 + 2*T1^13*T2^16 + 
      10*T1^14*T2^16 - 8*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 740] -> 
  {-((2 - 10*T + 24*T^2 - 33*T^3 + 24*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((1 - 3*T1 + 5*T1^2 - 7*T1^3 + 5*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 - 
      2*T1^2*T2 - 2*T1^5*T2 + 6*T1^6*T2 - 3*T1^7*T2 + 5*T2^2 - 2*T1*T2^2 - 
      51*T1^2*T2^2 + 111*T1^3*T2^2 - 103*T1^4*T2^2 + 111*T1^5*T2^2 - 
      51*T1^6*T2^2 - 2*T1^7*T2^2 + 5*T1^8*T2^2 - 7*T2^3 + 111*T1^2*T2^3 - 
      166*T1^3*T2^3 - 12*T1^4*T2^3 - 12*T1^5*T2^3 - 166*T1^6*T2^3 + 
      111*T1^7*T2^3 - 7*T1^9*T2^3 + 5*T2^4 - 103*T1^2*T2^4 - 12*T1^3*T2^4 + 
      394*T1^4*T2^4 - 140*T1^5*T2^4 + 394*T1^6*T2^4 - 12*T1^7*T2^4 - 
      103*T1^8*T2^4 + 5*T1^10*T2^4 - 3*T2^5 - 2*T1*T2^5 + 111*T1^2*T2^5 - 
      12*T1^3*T2^5 - 140*T1^4*T2^5 - 336*T1^5*T2^5 - 336*T1^6*T2^5 - 
      140*T1^7*T2^5 - 12*T1^8*T2^5 + 111*T1^9*T2^5 - 2*T1^10*T2^5 - 
      3*T1^11*T2^5 + T2^6 + 6*T1*T2^6 - 51*T1^2*T2^6 - 166*T1^3*T2^6 + 
      394*T1^4*T2^6 - 336*T1^5*T2^6 + 1224*T1^6*T2^6 - 336*T1^7*T2^6 + 
      394*T1^8*T2^6 - 166*T1^9*T2^6 - 51*T1^10*T2^6 + 6*T1^11*T2^6 + 
      T1^12*T2^6 - 3*T1*T2^7 - 2*T1^2*T2^7 + 111*T1^3*T2^7 - 12*T1^4*T2^7 - 
      140*T1^5*T2^7 - 336*T1^6*T2^7 - 336*T1^7*T2^7 - 140*T1^8*T2^7 - 
      12*T1^9*T2^7 + 111*T1^10*T2^7 - 2*T1^11*T2^7 - 3*T1^12*T2^7 + 
      5*T1^2*T2^8 - 103*T1^4*T2^8 - 12*T1^5*T2^8 + 394*T1^6*T2^8 - 
      140*T1^7*T2^8 + 394*T1^8*T2^8 - 12*T1^9*T2^8 - 103*T1^10*T2^8 + 
      5*T1^12*T2^8 - 7*T1^3*T2^9 + 111*T1^5*T2^9 - 166*T1^6*T2^9 - 
      12*T1^7*T2^9 - 12*T1^8*T2^9 - 166*T1^9*T2^9 + 111*T1^10*T2^9 - 
      7*T1^12*T2^9 + 5*T1^4*T2^10 - 2*T1^5*T2^10 - 51*T1^6*T2^10 + 
      111*T1^7*T2^10 - 103*T1^8*T2^10 + 111*T1^9*T2^10 - 51*T1^10*T2^10 - 
      2*T1^11*T2^10 + 5*T1^12*T2^10 - 3*T1^5*T2^11 + 6*T1^6*T2^11 - 
      2*T1^7*T2^11 - 2*T1^10*T2^11 + 6*T1^11*T2^11 - 3*T1^12*T2^11 + 
      T1^6*T2^12 - 3*T1^7*T2^12 + 5*T1^8*T2^12 - 7*T1^9*T2^12 + 
      5*T1^10*T2^12 - 3*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 741] -> 
  {(3 - 11*T + 21*T^2 - 25*T^3 + 21*T^4 - 11*T^5 + 3*T^6)/T^3, 
   -((30 - 111*T1 + 211*T1^2 - 250*T1^3 + 211*T1^4 - 111*T1^5 + 30*T1^6 - 
      111*T2 + 298*T1*T2 - 372*T1^2*T2 + 146*T1^3*T2 + 146*T1^4*T2 - 
      372*T1^5*T2 + 298*T1^6*T2 - 111*T1^7*T2 + 211*T2^2 - 372*T1*T2^2 + 
      183*T1^2*T2^2 + 409*T1^3*T2^2 - 575*T1^4*T2^2 + 409*T1^5*T2^2 + 
      183*T1^6*T2^2 - 372*T1^7*T2^2 + 211*T1^8*T2^2 - 250*T2^3 + 
      146*T1*T2^3 + 409*T1^2*T2^3 - 1018*T1^3*T2^3 + 386*T1^4*T2^3 + 
      386*T1^5*T2^3 - 1018*T1^6*T2^3 + 409*T1^7*T2^3 + 146*T1^8*T2^3 - 
      250*T1^9*T2^3 + 211*T2^4 + 146*T1*T2^4 - 575*T1^2*T2^4 + 
      386*T1^3*T2^4 + 1265*T1^4*T2^4 - 1803*T1^5*T2^4 + 1265*T1^6*T2^4 + 
      386*T1^7*T2^4 - 575*T1^8*T2^4 + 146*T1^9*T2^4 + 211*T1^10*T2^4 - 
      111*T2^5 - 372*T1*T2^5 + 409*T1^2*T2^5 + 386*T1^3*T2^5 - 
      1803*T1^4*T2^5 + 812*T1^5*T2^5 + 812*T1^6*T2^5 - 1803*T1^7*T2^5 + 
      386*T1^8*T2^5 + 409*T1^9*T2^5 - 372*T1^10*T2^5 - 111*T1^11*T2^5 + 
      30*T2^6 + 298*T1*T2^6 + 183*T1^2*T2^6 - 1018*T1^3*T2^6 + 
      1265*T1^4*T2^6 + 812*T1^5*T2^6 - 1680*T1^6*T2^6 + 812*T1^7*T2^6 + 
      1265*T1^8*T2^6 - 1018*T1^9*T2^6 + 183*T1^10*T2^6 + 298*T1^11*T2^6 + 
      30*T1^12*T2^6 - 111*T1*T2^7 - 372*T1^2*T2^7 + 409*T1^3*T2^7 + 
      386*T1^4*T2^7 - 1803*T1^5*T2^7 + 812*T1^6*T2^7 + 812*T1^7*T2^7 - 
      1803*T1^8*T2^7 + 386*T1^9*T2^7 + 409*T1^10*T2^7 - 372*T1^11*T2^7 - 
      111*T1^12*T2^7 + 211*T1^2*T2^8 + 146*T1^3*T2^8 - 575*T1^4*T2^8 + 
      386*T1^5*T2^8 + 1265*T1^6*T2^8 - 1803*T1^7*T2^8 + 1265*T1^8*T2^8 + 
      386*T1^9*T2^8 - 575*T1^10*T2^8 + 146*T1^11*T2^8 + 211*T1^12*T2^8 - 
      250*T1^3*T2^9 + 146*T1^4*T2^9 + 409*T1^5*T2^9 - 1018*T1^6*T2^9 + 
      386*T1^7*T2^9 + 386*T1^8*T2^9 - 1018*T1^9*T2^9 + 409*T1^10*T2^9 + 
      146*T1^11*T2^9 - 250*T1^12*T2^9 + 211*T1^4*T2^10 - 372*T1^5*T2^10 + 
      183*T1^6*T2^10 + 409*T1^7*T2^10 - 575*T1^8*T2^10 + 409*T1^9*T2^10 + 
      183*T1^10*T2^10 - 372*T1^11*T2^10 + 211*T1^12*T2^10 - 111*T1^5*T2^11 + 
      298*T1^6*T2^11 - 372*T1^7*T2^11 + 146*T1^8*T2^11 + 146*T1^9*T2^11 - 
      372*T1^10*T2^11 + 298*T1^11*T2^11 - 111*T1^12*T2^11 + 30*T1^6*T2^12 - 
      111*T1^7*T2^12 + 211*T1^8*T2^12 - 250*T1^9*T2^12 + 211*T1^10*T2^12 - 
      111*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 742] -> 
  {((2 - 3*T + 2*T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3, 
   -((9 - 40*T1 + 93*T1^2 - 119*T1^3 + 93*T1^4 - 40*T1^5 + 9*T1^6 - 40*T2 + 
      138*T1*T2 - 236*T1^2*T2 + 116*T1^3*T2 + 116*T1^4*T2 - 236*T1^5*T2 + 
      138*T1^6*T2 - 40*T1^7*T2 + 93*T2^2 - 236*T1*T2^2 + 349*T1^2*T2^2 - 
      42*T1^3*T2^2 - 103*T1^4*T2^2 - 42*T1^5*T2^2 + 349*T1^6*T2^2 - 
      236*T1^7*T2^2 + 93*T1^8*T2^2 - 119*T2^3 + 116*T1*T2^3 - 42*T1^2*T2^3 - 
      568*T1^3*T2^3 + 242*T1^4*T2^3 + 242*T1^5*T2^3 - 568*T1^6*T2^3 - 
      42*T1^7*T2^3 + 116*T1^8*T2^3 - 119*T1^9*T2^3 + 93*T2^4 + 116*T1*T2^4 - 
      103*T1^2*T2^4 + 242*T1^3*T2^4 + 1468*T1^4*T2^4 - 1962*T1^5*T2^4 + 
      1468*T1^6*T2^4 + 242*T1^7*T2^4 - 103*T1^8*T2^4 + 116*T1^9*T2^4 + 
      93*T1^10*T2^4 - 40*T2^5 - 236*T1*T2^5 - 42*T1^2*T2^5 + 242*T1^3*T2^5 - 
      1962*T1^4*T2^5 + 702*T1^5*T2^5 + 702*T1^6*T2^5 - 1962*T1^7*T2^5 + 
      242*T1^8*T2^5 - 42*T1^9*T2^5 - 236*T1^10*T2^5 - 40*T1^11*T2^5 + 
      9*T2^6 + 138*T1*T2^6 + 349*T1^2*T2^6 - 568*T1^3*T2^6 + 1468*T1^4*T2^6 + 
      702*T1^5*T2^6 - 1080*T1^6*T2^6 + 702*T1^7*T2^6 + 1468*T1^8*T2^6 - 
      568*T1^9*T2^6 + 349*T1^10*T2^6 + 138*T1^11*T2^6 + 9*T1^12*T2^6 - 
      40*T1*T2^7 - 236*T1^2*T2^7 - 42*T1^3*T2^7 + 242*T1^4*T2^7 - 
      1962*T1^5*T2^7 + 702*T1^6*T2^7 + 702*T1^7*T2^7 - 1962*T1^8*T2^7 + 
      242*T1^9*T2^7 - 42*T1^10*T2^7 - 236*T1^11*T2^7 - 40*T1^12*T2^7 + 
      93*T1^2*T2^8 + 116*T1^3*T2^8 - 103*T1^4*T2^8 + 242*T1^5*T2^8 + 
      1468*T1^6*T2^8 - 1962*T1^7*T2^8 + 1468*T1^8*T2^8 + 242*T1^9*T2^8 - 
      103*T1^10*T2^8 + 116*T1^11*T2^8 + 93*T1^12*T2^8 - 119*T1^3*T2^9 + 
      116*T1^4*T2^9 - 42*T1^5*T2^9 - 568*T1^6*T2^9 + 242*T1^7*T2^9 + 
      242*T1^8*T2^9 - 568*T1^9*T2^9 - 42*T1^10*T2^9 + 116*T1^11*T2^9 - 
      119*T1^12*T2^9 + 93*T1^4*T2^10 - 236*T1^5*T2^10 + 349*T1^6*T2^10 - 
      42*T1^7*T2^10 - 103*T1^8*T2^10 - 42*T1^9*T2^10 + 349*T1^10*T2^10 - 
      236*T1^11*T2^10 + 93*T1^12*T2^10 - 40*T1^5*T2^11 + 138*T1^6*T2^11 - 
      236*T1^7*T2^11 + 116*T1^8*T2^11 + 116*T1^9*T2^11 - 236*T1^10*T2^11 + 
      138*T1^11*T2^11 - 40*T1^12*T2^11 + 9*T1^6*T2^12 - 40*T1^7*T2^12 + 
      93*T1^8*T2^12 - 119*T1^9*T2^12 + 93*T1^10*T2^12 - 40*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 743] -> 
  {(6 - 21*T + 31*T^2 - 21*T^3 + 6*T^4)/T^2, 
   -((51 - 195*T1 + 301*T1^2 - 195*T1^3 + 51*T1^4 - 195*T2 + 526*T1*T2 - 
      388*T1^2*T2 - 388*T1^3*T2 + 526*T1^4*T2 - 195*T1^5*T2 + 301*T2^2 - 
      388*T1*T2^2 - 520*T1^2*T2^2 + 1646*T1^3*T2^2 - 520*T1^4*T2^2 - 
      388*T1^5*T2^2 + 301*T1^6*T2^2 - 195*T2^3 - 388*T1*T2^3 + 
      1646*T1^2*T2^3 - 1516*T1^3*T2^3 - 1516*T1^4*T2^3 + 1646*T1^5*T2^3 - 
      388*T1^6*T2^3 - 195*T1^7*T2^3 + 51*T2^4 + 526*T1*T2^4 - 520*T1^2*T2^4 - 
      1516*T1^3*T2^4 + 4068*T1^4*T2^4 - 1516*T1^5*T2^4 - 520*T1^6*T2^4 + 
      526*T1^7*T2^4 + 51*T1^8*T2^4 - 195*T1*T2^5 - 388*T1^2*T2^5 + 
      1646*T1^3*T2^5 - 1516*T1^4*T2^5 - 1516*T1^5*T2^5 + 1646*T1^6*T2^5 - 
      388*T1^7*T2^5 - 195*T1^8*T2^5 + 301*T1^2*T2^6 - 388*T1^3*T2^6 - 
      520*T1^4*T2^6 + 1646*T1^5*T2^6 - 520*T1^6*T2^6 - 388*T1^7*T2^6 + 
      301*T1^8*T2^6 - 195*T1^3*T2^7 + 526*T1^4*T2^7 - 388*T1^5*T2^7 - 
      388*T1^6*T2^7 + 526*T1^7*T2^7 - 195*T1^8*T2^7 + 51*T1^4*T2^8 - 
      195*T1^5*T2^8 + 301*T1^6*T2^8 - 195*T1^7*T2^8 + 51*T1^8*T2^8)/
     (T1^4*T2^4))}, Knot[12, NonAlternating, 744] -> 
  {-((2 - 9*T + 15*T^2 - 17*T^3 + 15*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((17 - 76*T1 + 124*T1^2 - 139*T1^3 + 124*T1^4 - 76*T1^5 + 17*T1^6 - 
      76*T2 + 264*T1*T2 - 216*T1^2*T2 + 68*T1^3*T2 + 68*T1^4*T2 - 
      216*T1^5*T2 + 264*T1^6*T2 - 76*T1^7*T2 + 124*T2^2 - 216*T1*T2^2 - 
      468*T1^2*T2^2 + 898*T1^3*T2^2 - 968*T1^4*T2^2 + 898*T1^5*T2^2 - 
      468*T1^6*T2^2 - 216*T1^7*T2^2 + 124*T1^8*T2^2 - 139*T2^3 + 68*T1*T2^3 + 
      898*T1^2*T2^3 - 688*T1^3*T2^3 + 174*T1^4*T2^3 + 174*T1^5*T2^3 - 
      688*T1^6*T2^3 + 898*T1^7*T2^3 + 68*T1^8*T2^3 - 139*T1^9*T2^3 + 
      124*T2^4 + 68*T1*T2^4 - 968*T1^2*T2^4 + 174*T1^3*T2^4 + 232*T1^4*T2^4 - 
      218*T1^5*T2^4 + 232*T1^6*T2^4 + 174*T1^7*T2^4 - 968*T1^8*T2^4 + 
      68*T1^9*T2^4 + 124*T1^10*T2^4 - 76*T2^5 - 216*T1*T2^5 + 898*T1^2*T2^5 + 
      174*T1^3*T2^5 - 218*T1^4*T2^5 + 28*T1^5*T2^5 + 28*T1^6*T2^5 - 
      218*T1^7*T2^5 + 174*T1^8*T2^5 + 898*T1^9*T2^5 - 216*T1^10*T2^5 - 
      76*T1^11*T2^5 + 17*T2^6 + 264*T1*T2^6 - 468*T1^2*T2^6 - 688*T1^3*T2^6 + 
      232*T1^4*T2^6 + 28*T1^5*T2^6 - 24*T1^6*T2^6 + 28*T1^7*T2^6 + 
      232*T1^8*T2^6 - 688*T1^9*T2^6 - 468*T1^10*T2^6 + 264*T1^11*T2^6 + 
      17*T1^12*T2^6 - 76*T1*T2^7 - 216*T1^2*T2^7 + 898*T1^3*T2^7 + 
      174*T1^4*T2^7 - 218*T1^5*T2^7 + 28*T1^6*T2^7 + 28*T1^7*T2^7 - 
      218*T1^8*T2^7 + 174*T1^9*T2^7 + 898*T1^10*T2^7 - 216*T1^11*T2^7 - 
      76*T1^12*T2^7 + 124*T1^2*T2^8 + 68*T1^3*T2^8 - 968*T1^4*T2^8 + 
      174*T1^5*T2^8 + 232*T1^6*T2^8 - 218*T1^7*T2^8 + 232*T1^8*T2^8 + 
      174*T1^9*T2^8 - 968*T1^10*T2^8 + 68*T1^11*T2^8 + 124*T1^12*T2^8 - 
      139*T1^3*T2^9 + 68*T1^4*T2^9 + 898*T1^5*T2^9 - 688*T1^6*T2^9 + 
      174*T1^7*T2^9 + 174*T1^8*T2^9 - 688*T1^9*T2^9 + 898*T1^10*T2^9 + 
      68*T1^11*T2^9 - 139*T1^12*T2^9 + 124*T1^4*T2^10 - 216*T1^5*T2^10 - 
      468*T1^6*T2^10 + 898*T1^7*T2^10 - 968*T1^8*T2^10 + 898*T1^9*T2^10 - 
      468*T1^10*T2^10 - 216*T1^11*T2^10 + 124*T1^12*T2^10 - 76*T1^5*T2^11 + 
      264*T1^6*T2^11 - 216*T1^7*T2^11 + 68*T1^8*T2^11 + 68*T1^9*T2^11 - 
      216*T1^10*T2^11 + 264*T1^11*T2^11 - 76*T1^12*T2^11 + 17*T1^6*T2^12 - 
      76*T1^7*T2^12 + 124*T1^8*T2^12 - 139*T1^9*T2^12 + 124*T1^10*T2^12 - 
      76*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 745] -> 
  {-((1 - 10*T + 30*T^2 - 43*T^3 + 30*T^4 - 10*T^5 + T^6)/T^3), 
   -((2 - 6*T1 + 4*T1^2 + 4*T1^3 - 6*T1^4 + 2*T1^5 - 6*T2 + 25*T1*T2 - 
      39*T1^2*T2 + 45*T1^3*T2 - 39*T1^4*T2 + 25*T1^5*T2 - 6*T1^6*T2 + 
      4*T2^2 - 39*T1*T2^2 + 66*T1^2*T2^2 - 47*T1^3*T2^2 - 47*T1^4*T2^2 + 
      66*T1^5*T2^2 - 39*T1^6*T2^2 + 4*T1^7*T2^2 + 4*T2^3 + 45*T1*T2^3 - 
      47*T1^2*T2^3 - 77*T1^3*T2^3 + 257*T1^4*T2^3 - 77*T1^5*T2^3 - 
      47*T1^6*T2^3 + 45*T1^7*T2^3 + 4*T1^8*T2^3 - 6*T2^4 - 39*T1*T2^4 - 
      47*T1^2*T2^4 + 257*T1^3*T2^4 - 274*T1^4*T2^4 - 274*T1^5*T2^4 + 
      257*T1^6*T2^4 - 47*T1^7*T2^4 - 39*T1^8*T2^4 - 6*T1^9*T2^4 + 2*T2^5 + 
      25*T1*T2^5 + 66*T1^2*T2^5 - 77*T1^3*T2^5 - 274*T1^4*T2^5 + 
      792*T1^5*T2^5 - 274*T1^6*T2^5 - 77*T1^7*T2^5 + 66*T1^8*T2^5 + 
      25*T1^9*T2^5 + 2*T1^10*T2^5 - 6*T1*T2^6 - 39*T1^2*T2^6 - 47*T1^3*T2^6 + 
      257*T1^4*T2^6 - 274*T1^5*T2^6 - 274*T1^6*T2^6 + 257*T1^7*T2^6 - 
      47*T1^8*T2^6 - 39*T1^9*T2^6 - 6*T1^10*T2^6 + 4*T1^2*T2^7 + 
      45*T1^3*T2^7 - 47*T1^4*T2^7 - 77*T1^5*T2^7 + 257*T1^6*T2^7 - 
      77*T1^7*T2^7 - 47*T1^8*T2^7 + 45*T1^9*T2^7 + 4*T1^10*T2^7 + 
      4*T1^3*T2^8 - 39*T1^4*T2^8 + 66*T1^5*T2^8 - 47*T1^6*T2^8 - 
      47*T1^7*T2^8 + 66*T1^8*T2^8 - 39*T1^9*T2^8 + 4*T1^10*T2^8 - 
      6*T1^4*T2^9 + 25*T1^5*T2^9 - 39*T1^6*T2^9 + 45*T1^7*T2^9 - 
      39*T1^8*T2^9 + 25*T1^9*T2^9 - 6*T1^10*T2^9 + 2*T1^5*T2^10 - 
      6*T1^6*T2^10 + 4*T1^7*T2^10 + 4*T1^8*T2^10 - 6*T1^9*T2^10 + 
      2*T1^10*T2^10)/(T1^5*T2^5))}, Knot[12, NonAlternating, 746] -> 
  {((2 - 3*T + 2*T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^3, 
   -((9 - 49*T1 + 124*T1^2 - 163*T1^3 + 124*T1^4 - 49*T1^5 + 9*T1^6 - 49*T2 + 
      218*T1*T2 - 409*T1^2*T2 + 213*T1^3*T2 + 213*T1^4*T2 - 409*T1^5*T2 + 
      218*T1^6*T2 - 49*T1^7*T2 + 124*T2^2 - 409*T1*T2^2 + 362*T1^2*T2^2 + 
      834*T1^3*T2^2 - 1542*T1^4*T2^2 + 834*T1^5*T2^2 + 362*T1^6*T2^2 - 
      409*T1^7*T2^2 + 124*T1^8*T2^2 - 163*T2^3 + 213*T1*T2^3 + 
      834*T1^2*T2^3 - 3042*T1^3*T2^3 + 1718*T1^4*T2^3 + 1718*T1^5*T2^3 - 
      3042*T1^6*T2^3 + 834*T1^7*T2^3 + 213*T1^8*T2^3 - 163*T1^9*T2^3 + 
      124*T2^4 + 213*T1*T2^4 - 1542*T1^2*T2^4 + 1718*T1^3*T2^4 + 
      4581*T1^4*T2^4 - 8315*T1^5*T2^4 + 4581*T1^6*T2^4 + 1718*T1^7*T2^4 - 
      1542*T1^8*T2^4 + 213*T1^9*T2^4 + 124*T1^10*T2^4 - 49*T2^5 - 
      409*T1*T2^5 + 834*T1^2*T2^5 + 1718*T1^3*T2^5 - 8315*T1^4*T2^5 + 
      4784*T1^5*T2^5 + 4784*T1^6*T2^5 - 8315*T1^7*T2^5 + 1718*T1^8*T2^5 + 
      834*T1^9*T2^5 - 409*T1^10*T2^5 - 49*T1^11*T2^5 + 9*T2^6 + 218*T1*T2^6 + 
      362*T1^2*T2^6 - 3042*T1^3*T2^6 + 4581*T1^4*T2^6 + 4784*T1^5*T2^6 - 
      10524*T1^6*T2^6 + 4784*T1^7*T2^6 + 4581*T1^8*T2^6 - 3042*T1^9*T2^6 + 
      362*T1^10*T2^6 + 218*T1^11*T2^6 + 9*T1^12*T2^6 - 49*T1*T2^7 - 
      409*T1^2*T2^7 + 834*T1^3*T2^7 + 1718*T1^4*T2^7 - 8315*T1^5*T2^7 + 
      4784*T1^6*T2^7 + 4784*T1^7*T2^7 - 8315*T1^8*T2^7 + 1718*T1^9*T2^7 + 
      834*T1^10*T2^7 - 409*T1^11*T2^7 - 49*T1^12*T2^7 + 124*T1^2*T2^8 + 
      213*T1^3*T2^8 - 1542*T1^4*T2^8 + 1718*T1^5*T2^8 + 4581*T1^6*T2^8 - 
      8315*T1^7*T2^8 + 4581*T1^8*T2^8 + 1718*T1^9*T2^8 - 1542*T1^10*T2^8 + 
      213*T1^11*T2^8 + 124*T1^12*T2^8 - 163*T1^3*T2^9 + 213*T1^4*T2^9 + 
      834*T1^5*T2^9 - 3042*T1^6*T2^9 + 1718*T1^7*T2^9 + 1718*T1^8*T2^9 - 
      3042*T1^9*T2^9 + 834*T1^10*T2^9 + 213*T1^11*T2^9 - 163*T1^12*T2^9 + 
      124*T1^4*T2^10 - 409*T1^5*T2^10 + 362*T1^6*T2^10 + 834*T1^7*T2^10 - 
      1542*T1^8*T2^10 + 834*T1^9*T2^10 + 362*T1^10*T2^10 - 409*T1^11*T2^10 + 
      124*T1^12*T2^10 - 49*T1^5*T2^11 + 218*T1^6*T2^11 - 409*T1^7*T2^11 + 
      213*T1^8*T2^11 + 213*T1^9*T2^11 - 409*T1^10*T2^11 + 218*T1^11*T2^11 - 
      49*T1^12*T2^11 + 9*T1^6*T2^12 - 49*T1^7*T2^12 + 124*T1^8*T2^12 - 
      163*T1^9*T2^12 + 124*T1^10*T2^12 - 49*T1^11*T2^12 + 9*T1^12*T2^12)/
     (T1^6*T2^6))}, 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 + 40*T1*T2 - 80*T1^2*T2 + 70*T1^3*T2 - 30*T1^4*T2 - 
      30*T1^5*T2 + 70*T1^6*T2 - 80*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
      26*T2^2 - 80*T1*T2^2 + 119*T1^2*T2^2 - 13*T1^3*T2^2 - 41*T1^4*T2^2 + 
      83*T1^5*T2^2 - 41*T1^6*T2^2 - 13*T1^7*T2^2 + 119*T1^8*T2^2 - 
      80*T1^9*T2^2 + 26*T1^10*T2^2 - 40*T2^3 + 70*T1*T2^3 - 13*T1^2*T2^3 - 
      258*T1^3*T2^3 + 161*T1^4*T2^3 - 97*T1^5*T2^3 - 97*T1^6*T2^3 + 
      161*T1^7*T2^3 - 258*T1^8*T2^3 - 13*T1^9*T2^3 + 70*T1^10*T2^3 - 
      40*T1^11*T2^3 + 46*T2^4 - 30*T1*T2^4 - 41*T1^2*T2^4 + 161*T1^3*T2^4 + 
      547*T1^4*T2^4 - 765*T1^5*T2^4 + 1021*T1^6*T2^4 - 765*T1^7*T2^4 + 
      547*T1^8*T2^4 + 161*T1^9*T2^4 - 41*T1^10*T2^4 - 30*T1^11*T2^4 + 
      46*T1^12*T2^4 - 40*T2^5 - 30*T1*T2^5 + 83*T1^2*T2^5 - 97*T1^3*T2^5 - 
      765*T1^4*T2^5 + 348*T1^5*T2^5 - 299*T1^6*T2^5 - 299*T1^7*T2^5 + 
      348*T1^8*T2^5 - 765*T1^9*T2^5 - 97*T1^10*T2^5 + 83*T1^11*T2^5 - 
      30*T1^12*T2^5 - 40*T1^13*T2^5 + 26*T2^6 + 70*T1*T2^6 - 41*T1^2*T2^6 - 
      97*T1^3*T2^6 + 1021*T1^4*T2^6 - 299*T1^5*T2^6 + 700*T1^6*T2^6 - 
      336*T1^7*T2^6 + 700*T1^8*T2^6 - 299*T1^9*T2^6 + 1021*T1^10*T2^6 - 
      97*T1^11*T2^6 - 41*T1^12*T2^6 + 70*T1^13*T2^6 + 26*T1^14*T2^6 - 
      10*T2^7 - 80*T1*T2^7 - 13*T1^2*T2^7 + 161*T1^3*T2^7 - 765*T1^4*T2^7 - 
      299*T1^5*T2^7 - 336*T1^6*T2^7 - 196*T1^7*T2^7 - 196*T1^8*T2^7 - 
      336*T1^9*T2^7 - 299*T1^10*T2^7 - 765*T1^11*T2^7 + 161*T1^12*T2^7 - 
      13*T1^13*T2^7 - 80*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 + 
      119*T1^2*T2^8 - 258*T1^3*T2^8 + 547*T1^4*T2^8 + 348*T1^5*T2^8 + 
      700*T1^6*T2^8 - 196*T1^7*T2^8 + 720*T1^8*T2^8 - 196*T1^9*T2^8 + 
      700*T1^10*T2^8 + 348*T1^11*T2^8 + 547*T1^12*T2^8 - 258*T1^13*T2^8 + 
      119*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
      80*T1^2*T2^9 - 13*T1^3*T2^9 + 161*T1^4*T2^9 - 765*T1^5*T2^9 - 
      299*T1^6*T2^9 - 336*T1^7*T2^9 - 196*T1^8*T2^9 - 196*T1^9*T2^9 - 
      336*T1^10*T2^9 - 299*T1^11*T2^9 - 765*T1^12*T2^9 + 161*T1^13*T2^9 - 
      13*T1^14*T2^9 - 80*T1^15*T2^9 - 10*T1^16*T2^9 + 26*T1^2*T2^10 + 
      70*T1^3*T2^10 - 41*T1^4*T2^10 - 97*T1^5*T2^10 + 1021*T1^6*T2^10 - 
      299*T1^7*T2^10 + 700*T1^8*T2^10 - 336*T1^9*T2^10 + 700*T1^10*T2^10 - 
      299*T1^11*T2^10 + 1021*T1^12*T2^10 - 97*T1^13*T2^10 - 41*T1^14*T2^10 + 
      70*T1^15*T2^10 + 26*T1^16*T2^10 - 40*T1^3*T2^11 - 30*T1^4*T2^11 + 
      83*T1^5*T2^11 - 97*T1^6*T2^11 - 765*T1^7*T2^11 + 348*T1^8*T2^11 - 
      299*T1^9*T2^11 - 299*T1^10*T2^11 + 348*T1^11*T2^11 - 765*T1^12*T2^11 - 
      97*T1^13*T2^11 + 83*T1^14*T2^11 - 30*T1^15*T2^11 - 40*T1^16*T2^11 + 
      46*T1^4*T2^12 - 30*T1^5*T2^12 - 41*T1^6*T2^12 + 161*T1^7*T2^12 + 
      547*T1^8*T2^12 - 765*T1^9*T2^12 + 1021*T1^10*T2^12 - 765*T1^11*T2^12 + 
      547*T1^12*T2^12 + 161*T1^13*T2^12 - 41*T1^14*T2^12 - 30*T1^15*T2^12 + 
      46*T1^16*T2^12 - 40*T1^5*T2^13 + 70*T1^6*T2^13 - 13*T1^7*T2^13 - 
      258*T1^8*T2^13 + 161*T1^9*T2^13 - 97*T1^10*T2^13 - 97*T1^11*T2^13 + 
      161*T1^12*T2^13 - 258*T1^13*T2^13 - 13*T1^14*T2^13 + 70*T1^15*T2^13 - 
      40*T1^16*T2^13 + 26*T1^6*T2^14 - 80*T1^7*T2^14 + 119*T1^8*T2^14 - 
      13*T1^9*T2^14 - 41*T1^10*T2^14 + 83*T1^11*T2^14 - 41*T1^12*T2^14 - 
      13*T1^13*T2^14 + 119*T1^14*T2^14 - 80*T1^15*T2^14 + 26*T1^16*T2^14 - 
      10*T1^7*T2^15 + 40*T1^8*T2^15 - 80*T1^9*T2^15 + 70*T1^10*T2^15 - 
      30*T1^11*T2^15 - 30*T1^12*T2^15 + 70*T1^13*T2^15 - 80*T1^14*T2^15 + 
      40*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)/(T1^8*T2^8))}, 
 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), 
   -((1 - 4*T1 + 9*T1^2 - 16*T1^3 + 19*T1^4 - 16*T1^5 + 9*T1^6 - 4*T1^7 + 
      T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 28*T1^3*T2 - 12*T1^4*T2 - 
      12*T1^5*T2 + 28*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 
      9*T2^2 - 20*T1*T2^2 + 27*T1^2*T2^2 - 42*T1^3*T2^2 + 7*T1^4*T2^2 + 
      3*T1^5*T2^2 + 7*T1^6*T2^2 - 42*T1^7*T2^2 + 27*T1^8*T2^2 - 
      20*T1^9*T2^2 + 9*T1^10*T2^2 - 16*T2^3 + 28*T1*T2^3 - 42*T1^2*T2^3 + 
      88*T1^3*T2^3 - 17*T1^4*T2^3 + 17*T1^5*T2^3 + 17*T1^6*T2^3 - 
      17*T1^7*T2^3 + 88*T1^8*T2^3 - 42*T1^9*T2^3 + 28*T1^10*T2^3 - 
      16*T1^11*T2^3 + 19*T2^4 - 12*T1*T2^4 + 7*T1^2*T2^4 - 17*T1^3*T2^4 - 
      214*T1^4*T2^4 + 222*T1^5*T2^4 - 308*T1^6*T2^4 + 222*T1^7*T2^4 - 
      214*T1^8*T2^4 - 17*T1^9*T2^4 + 7*T1^10*T2^4 - 12*T1^11*T2^4 + 
      19*T1^12*T2^4 - 16*T2^5 - 12*T1*T2^5 + 3*T1^2*T2^5 + 17*T1^3*T2^5 + 
      222*T1^4*T2^5 + 16*T1^5*T2^5 + 72*T1^6*T2^5 + 72*T1^7*T2^5 + 
      16*T1^8*T2^5 + 222*T1^9*T2^5 + 17*T1^10*T2^5 + 3*T1^11*T2^5 - 
      12*T1^12*T2^5 - 16*T1^13*T2^5 + 9*T2^6 + 28*T1*T2^6 + 7*T1^2*T2^6 + 
      17*T1^3*T2^6 - 308*T1^4*T2^6 + 72*T1^5*T2^6 - 558*T1^6*T2^6 + 
      476*T1^7*T2^6 - 558*T1^8*T2^6 + 72*T1^9*T2^6 - 308*T1^10*T2^6 + 
      17*T1^11*T2^6 + 7*T1^12*T2^6 + 28*T1^13*T2^6 + 9*T1^14*T2^6 - 4*T2^7 - 
      20*T1*T2^7 - 42*T1^2*T2^7 - 17*T1^3*T2^7 + 222*T1^4*T2^7 + 
      72*T1^5*T2^7 + 476*T1^6*T2^7 - 24*T1^7*T2^7 - 24*T1^8*T2^7 + 
      476*T1^9*T2^7 + 72*T1^10*T2^7 + 222*T1^11*T2^7 - 17*T1^12*T2^7 - 
      42*T1^13*T2^7 - 20*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 
      27*T1^2*T2^8 + 88*T1^3*T2^8 - 214*T1^4*T2^8 + 16*T1^5*T2^8 - 
      558*T1^6*T2^8 - 24*T1^7*T2^8 - 156*T1^8*T2^8 - 24*T1^9*T2^8 - 
      558*T1^10*T2^8 + 16*T1^11*T2^8 - 214*T1^12*T2^8 + 88*T1^13*T2^8 + 
      27*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 20*T1^2*T2^9 - 
      42*T1^3*T2^9 - 17*T1^4*T2^9 + 222*T1^5*T2^9 + 72*T1^6*T2^9 + 
      476*T1^7*T2^9 - 24*T1^8*T2^9 - 24*T1^9*T2^9 + 476*T1^10*T2^9 + 
      72*T1^11*T2^9 + 222*T1^12*T2^9 - 17*T1^13*T2^9 - 42*T1^14*T2^9 - 
      20*T1^15*T2^9 - 4*T1^16*T2^9 + 9*T1^2*T2^10 + 28*T1^3*T2^10 + 
      7*T1^4*T2^10 + 17*T1^5*T2^10 - 308*T1^6*T2^10 + 72*T1^7*T2^10 - 
      558*T1^8*T2^10 + 476*T1^9*T2^10 - 558*T1^10*T2^10 + 72*T1^11*T2^10 - 
      308*T1^12*T2^10 + 17*T1^13*T2^10 + 7*T1^14*T2^10 + 28*T1^15*T2^10 + 
      9*T1^16*T2^10 - 16*T1^3*T2^11 - 12*T1^4*T2^11 + 3*T1^5*T2^11 + 
      17*T1^6*T2^11 + 222*T1^7*T2^11 + 16*T1^8*T2^11 + 72*T1^9*T2^11 + 
      72*T1^10*T2^11 + 16*T1^11*T2^11 + 222*T1^12*T2^11 + 17*T1^13*T2^11 + 
      3*T1^14*T2^11 - 12*T1^15*T2^11 - 16*T1^16*T2^11 + 19*T1^4*T2^12 - 
      12*T1^5*T2^12 + 7*T1^6*T2^12 - 17*T1^7*T2^12 - 214*T1^8*T2^12 + 
      222*T1^9*T2^12 - 308*T1^10*T2^12 + 222*T1^11*T2^12 - 214*T1^12*T2^12 - 
      17*T1^13*T2^12 + 7*T1^14*T2^12 - 12*T1^15*T2^12 + 19*T1^16*T2^12 - 
      16*T1^5*T2^13 + 28*T1^6*T2^13 - 42*T1^7*T2^13 + 88*T1^8*T2^13 - 
      17*T1^9*T2^13 + 17*T1^10*T2^13 + 17*T1^11*T2^13 - 17*T1^12*T2^13 + 
      88*T1^13*T2^13 - 42*T1^14*T2^13 + 28*T1^15*T2^13 - 16*T1^16*T2^13 + 
      9*T1^6*T2^14 - 20*T1^7*T2^14 + 27*T1^8*T2^14 - 42*T1^9*T2^14 + 
      7*T1^10*T2^14 + 3*T1^11*T2^14 + 7*T1^12*T2^14 - 42*T1^13*T2^14 + 
      27*T1^14*T2^14 - 20*T1^15*T2^14 + 9*T1^16*T2^14 - 4*T1^7*T2^15 + 
      12*T1^8*T2^15 - 20*T1^9*T2^15 + 28*T1^10*T2^15 - 12*T1^11*T2^15 - 
      12*T1^12*T2^15 + 28*T1^13*T2^15 - 20*T1^14*T2^15 + 12*T1^15*T2^15 - 
      4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 9*T1^10*T2^16 - 
      16*T1^11*T2^16 + 19*T1^12*T2^16 - 16*T1^13*T2^16 + 9*T1^14*T2^16 - 
      4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 749] -> {(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 + 4*T1*T2 - 4*T1^2*T2 + 
     2*T1^3*T2 + 2*T1^4*T2 - 4*T1^5*T2 + 4*T1^6*T2 - T1^7*T2 + T2^2 - 
     4*T1*T2^2 + 2*T1^2*T2^2 - 3*T1^3*T2^2 + 2*T1^4*T2^2 - 3*T1^5*T2^2 + 
     2*T1^6*T2^2 - 4*T1^7*T2^2 + T1^8*T2^2 - T2^3 + 2*T1*T2^3 - 3*T1^2*T2^3 + 
     4*T1^3*T2^3 - T1^4*T2^3 - T1^5*T2^3 + 4*T1^6*T2^3 - 3*T1^7*T2^3 + 
     2*T1^8*T2^3 - T1^9*T2^3 + T2^4 + 2*T1*T2^4 + 2*T1^2*T2^4 - T1^3*T2^4 + 
     7*T1^4*T2^4 - 9*T1^5*T2^4 + 7*T1^6*T2^4 - T1^7*T2^4 + 2*T1^8*T2^4 + 
     2*T1^9*T2^4 + T1^10*T2^4 - T2^5 - 4*T1*T2^5 - 3*T1^2*T2^5 - T1^3*T2^5 - 
     9*T1^4*T2^5 + 2*T1^5*T2^5 + 2*T1^6*T2^5 - 9*T1^7*T2^5 - T1^8*T2^5 - 
     3*T1^9*T2^5 - 4*T1^10*T2^5 - T1^11*T2^5 + T2^6 + 4*T1*T2^6 + 
     2*T1^2*T2^6 + 4*T1^3*T2^6 + 7*T1^4*T2^6 + 2*T1^5*T2^6 + 2*T1^7*T2^6 + 
     7*T1^8*T2^6 + 4*T1^9*T2^6 + 2*T1^10*T2^6 + 4*T1^11*T2^6 + T1^12*T2^6 - 
     T1*T2^7 - 4*T1^2*T2^7 - 3*T1^3*T2^7 - T1^4*T2^7 - 9*T1^5*T2^7 + 
     2*T1^6*T2^7 + 2*T1^7*T2^7 - 9*T1^8*T2^7 - T1^9*T2^7 - 3*T1^10*T2^7 - 
     4*T1^11*T2^7 - T1^12*T2^7 + T1^2*T2^8 + 2*T1^3*T2^8 + 2*T1^4*T2^8 - 
     T1^5*T2^8 + 7*T1^6*T2^8 - 9*T1^7*T2^8 + 7*T1^8*T2^8 - T1^9*T2^8 + 
     2*T1^10*T2^8 + 2*T1^11*T2^8 + T1^12*T2^8 - T1^3*T2^9 + 2*T1^4*T2^9 - 
     3*T1^5*T2^9 + 4*T1^6*T2^9 - T1^7*T2^9 - T1^8*T2^9 + 4*T1^9*T2^9 - 
     3*T1^10*T2^9 + 2*T1^11*T2^9 - T1^12*T2^9 + T1^4*T2^10 - 4*T1^5*T2^10 + 
     2*T1^6*T2^10 - 3*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 - 4*T1^7*T2^11 + 2*T1^8*T2^11 + 2*T1^9*T2^11 - 
     4*T1^10*T2^11 + 4*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)/
    (T1^6*T2^6)}, 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 - 29*T1^2*T2^2 + 37*T1^3*T2^2 - 
      37*T1^4*T2^2 + 37*T1^5*T2^2 - 29*T1^6*T2^2 + 16*T1^7*T2^2 - 
      4*T1^8*T2^2 + 6*T2^3 - 10*T1*T2^3 + 37*T1^2*T2^3 - 36*T1^3*T2^3 + 
      26*T1^4*T2^3 + 26*T1^5*T2^3 - 36*T1^6*T2^3 + 37*T1^7*T2^3 - 
      10*T1^8*T2^3 + 6*T1^9*T2^3 - 4*T2^4 - 10*T1*T2^4 - 37*T1^2*T2^4 + 
      26*T1^3*T2^4 - 44*T1^4*T2^4 - 14*T1^5*T2^4 - 44*T1^6*T2^4 + 
      26*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 + 37*T1^2*T2^5 + 26*T1^3*T2^5 - 14*T1^4*T2^5 + 
      68*T1^5*T2^5 + 68*T1^6*T2^5 - 14*T1^7*T2^5 + 26*T1^8*T2^5 + 
      37*T1^9*T2^5 + 16*T1^10*T2^5 + 2*T1^11*T2^5 - 12*T1*T2^6 - 
      29*T1^2*T2^6 - 36*T1^3*T2^6 - 44*T1^4*T2^6 + 68*T1^5*T2^6 - 
      216*T1^6*T2^6 + 68*T1^7*T2^6 - 44*T1^8*T2^6 - 36*T1^9*T2^6 - 
      29*T1^10*T2^6 - 12*T1^11*T2^6 + 2*T1*T2^7 + 16*T1^2*T2^7 + 
      37*T1^3*T2^7 + 26*T1^4*T2^7 - 14*T1^5*T2^7 + 68*T1^6*T2^7 + 
      68*T1^7*T2^7 - 14*T1^8*T2^7 + 26*T1^9*T2^7 + 37*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 + 26*T1^5*T2^8 - 44*T1^6*T2^8 - 14*T1^7*T2^8 - 
      44*T1^8*T2^8 + 26*T1^9*T2^8 - 37*T1^10*T2^8 - 10*T1^11*T2^8 - 
      4*T1^12*T2^8 + 6*T1^3*T2^9 - 10*T1^4*T2^9 + 37*T1^5*T2^9 - 
      36*T1^6*T2^9 + 26*T1^7*T2^9 + 26*T1^8*T2^9 - 36*T1^9*T2^9 + 
      37*T1^10*T2^9 - 10*T1^11*T2^9 + 6*T1^12*T2^9 - 4*T1^4*T2^10 + 
      16*T1^5*T2^10 - 29*T1^6*T2^10 + 37*T1^7*T2^10 - 37*T1^8*T2^10 + 
      37*T1^9*T2^10 - 29*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)/(T1^6*T2^6))}, 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, 
   (3 - 10*T1 + 23*T1^2 - 29*T1^3 + 23*T1^4 - 10*T1^5 + 3*T1^6 - 10*T2 + 
     24*T1*T2 - 43*T1^2*T2 + 19*T1^3*T2 + 19*T1^4*T2 - 43*T1^5*T2 + 
     24*T1^6*T2 - 10*T1^7*T2 + 23*T2^2 - 43*T1*T2^2 + 73*T1^2*T2^2 - 
     19*T1^3*T2^2 + 9*T1^4*T2^2 - 19*T1^5*T2^2 + 73*T1^6*T2^2 - 
     43*T1^7*T2^2 + 23*T1^8*T2^2 - 29*T2^3 + 19*T1*T2^3 - 19*T1^2*T2^3 - 
     90*T1^3*T2^3 + 18*T1^4*T2^3 + 18*T1^5*T2^3 - 90*T1^6*T2^3 - 
     19*T1^7*T2^3 + 19*T1^8*T2^3 - 29*T1^9*T2^3 + 23*T2^4 + 19*T1*T2^4 + 
     9*T1^2*T2^4 + 18*T1^3*T2^4 + 250*T1^4*T2^4 - 252*T1^5*T2^4 + 
     250*T1^6*T2^4 + 18*T1^7*T2^4 + 9*T1^8*T2^4 + 19*T1^9*T2^4 + 
     23*T1^10*T2^4 - 10*T2^5 - 43*T1*T2^5 - 19*T1^2*T2^5 + 18*T1^3*T2^5 - 
     252*T1^4*T2^5 + 26*T1^5*T2^5 + 26*T1^6*T2^5 - 252*T1^7*T2^5 + 
     18*T1^8*T2^5 - 19*T1^9*T2^5 - 43*T1^10*T2^5 - 10*T1^11*T2^5 + 3*T2^6 + 
     24*T1*T2^6 + 73*T1^2*T2^6 - 90*T1^3*T2^6 + 250*T1^4*T2^6 + 
     26*T1^5*T2^6 + 60*T1^6*T2^6 + 26*T1^7*T2^6 + 250*T1^8*T2^6 - 
     90*T1^9*T2^6 + 73*T1^10*T2^6 + 24*T1^11*T2^6 + 3*T1^12*T2^6 - 
     10*T1*T2^7 - 43*T1^2*T2^7 - 19*T1^3*T2^7 + 18*T1^4*T2^7 - 
     252*T1^5*T2^7 + 26*T1^6*T2^7 + 26*T1^7*T2^7 - 252*T1^8*T2^7 + 
     18*T1^9*T2^7 - 19*T1^10*T2^7 - 43*T1^11*T2^7 - 10*T1^12*T2^7 + 
     23*T1^2*T2^8 + 19*T1^3*T2^8 + 9*T1^4*T2^8 + 18*T1^5*T2^8 + 
     250*T1^6*T2^8 - 252*T1^7*T2^8 + 250*T1^8*T2^8 + 18*T1^9*T2^8 + 
     9*T1^10*T2^8 + 19*T1^11*T2^8 + 23*T1^12*T2^8 - 29*T1^3*T2^9 + 
     19*T1^4*T2^9 - 19*T1^5*T2^9 - 90*T1^6*T2^9 + 18*T1^7*T2^9 + 
     18*T1^8*T2^9 - 90*T1^9*T2^9 - 19*T1^10*T2^9 + 19*T1^11*T2^9 - 
     29*T1^12*T2^9 + 23*T1^4*T2^10 - 43*T1^5*T2^10 + 73*T1^6*T2^10 - 
     19*T1^7*T2^10 + 9*T1^8*T2^10 - 19*T1^9*T2^10 + 73*T1^10*T2^10 - 
     43*T1^11*T2^10 + 23*T1^12*T2^10 - 10*T1^5*T2^11 + 24*T1^6*T2^11 - 
     43*T1^7*T2^11 + 19*T1^8*T2^11 + 19*T1^9*T2^11 - 43*T1^10*T2^11 + 
     24*T1^11*T2^11 - 10*T1^12*T2^11 + 3*T1^6*T2^12 - 10*T1^7*T2^12 + 
     23*T1^8*T2^12 - 29*T1^9*T2^12 + 23*T1^10*T2^12 - 10*T1^11*T2^12 + 
     3*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 752] -> 
  {((1 - T + T^2)*(2 - 7*T + 11*T^2 - 7*T^3 + 2*T^4))/T^3, 
   (7 - 32*T1 + 71*T1^2 - 89*T1^3 + 71*T1^4 - 32*T1^5 + 7*T1^6 - 32*T2 + 
     112*T1*T2 - 176*T1^2*T2 + 80*T1^3*T2 + 80*T1^4*T2 - 176*T1^5*T2 + 
     112*T1^6*T2 - 32*T1^7*T2 + 71*T2^2 - 176*T1*T2^2 + 157*T1^2*T2^2 + 
     191*T1^3*T2^2 - 327*T1^4*T2^2 + 191*T1^5*T2^2 + 157*T1^6*T2^2 - 
     176*T1^7*T2^2 + 71*T1^8*T2^2 - 89*T2^3 + 80*T1*T2^3 + 191*T1^2*T2^3 - 
     718*T1^3*T2^3 + 303*T1^4*T2^3 + 303*T1^5*T2^3 - 718*T1^6*T2^3 + 
     191*T1^7*T2^3 + 80*T1^8*T2^3 - 89*T1^9*T2^3 + 71*T2^4 + 80*T1*T2^4 - 
     327*T1^2*T2^4 + 303*T1^3*T2^4 + 1157*T1^4*T2^4 - 1641*T1^5*T2^4 + 
     1157*T1^6*T2^4 + 303*T1^7*T2^4 - 327*T1^8*T2^4 + 80*T1^9*T2^4 + 
     71*T1^10*T2^4 - 32*T2^5 - 176*T1*T2^5 + 191*T1^2*T2^5 + 303*T1^3*T2^5 - 
     1641*T1^4*T2^5 + 676*T1^5*T2^5 + 676*T1^6*T2^5 - 1641*T1^7*T2^5 + 
     303*T1^8*T2^5 + 191*T1^9*T2^5 - 176*T1^10*T2^5 - 32*T1^11*T2^5 + 
     7*T2^6 + 112*T1*T2^6 + 157*T1^2*T2^6 - 718*T1^3*T2^6 + 1157*T1^4*T2^6 + 
     676*T1^5*T2^6 - 1248*T1^6*T2^6 + 676*T1^7*T2^6 + 1157*T1^8*T2^6 - 
     718*T1^9*T2^6 + 157*T1^10*T2^6 + 112*T1^11*T2^6 + 7*T1^12*T2^6 - 
     32*T1*T2^7 - 176*T1^2*T2^7 + 191*T1^3*T2^7 + 303*T1^4*T2^7 - 
     1641*T1^5*T2^7 + 676*T1^6*T2^7 + 676*T1^7*T2^7 - 1641*T1^8*T2^7 + 
     303*T1^9*T2^7 + 191*T1^10*T2^7 - 176*T1^11*T2^7 - 32*T1^12*T2^7 + 
     71*T1^2*T2^8 + 80*T1^3*T2^8 - 327*T1^4*T2^8 + 303*T1^5*T2^8 + 
     1157*T1^6*T2^8 - 1641*T1^7*T2^8 + 1157*T1^8*T2^8 + 303*T1^9*T2^8 - 
     327*T1^10*T2^8 + 80*T1^11*T2^8 + 71*T1^12*T2^8 - 89*T1^3*T2^9 + 
     80*T1^4*T2^9 + 191*T1^5*T2^9 - 718*T1^6*T2^9 + 303*T1^7*T2^9 + 
     303*T1^8*T2^9 - 718*T1^9*T2^9 + 191*T1^10*T2^9 + 80*T1^11*T2^9 - 
     89*T1^12*T2^9 + 71*T1^4*T2^10 - 176*T1^5*T2^10 + 157*T1^6*T2^10 + 
     191*T1^7*T2^10 - 327*T1^8*T2^10 + 191*T1^9*T2^10 + 157*T1^10*T2^10 - 
     176*T1^11*T2^10 + 71*T1^12*T2^10 - 32*T1^5*T2^11 + 112*T1^6*T2^11 - 
     176*T1^7*T2^11 + 80*T1^8*T2^11 + 80*T1^9*T2^11 - 176*T1^10*T2^11 + 
     112*T1^11*T2^11 - 32*T1^12*T2^11 + 7*T1^6*T2^12 - 32*T1^7*T2^12 + 
     71*T1^8*T2^12 - 89*T1^9*T2^12 + 71*T1^10*T2^12 - 32*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 753] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(2 - 3*T + 2*T^2))/T^3), 
   -((17 - 92*T1 + 198*T1^2 - 255*T1^3 + 198*T1^4 - 92*T1^5 + 17*T1^6 - 
      92*T2 + 412*T1*T2 - 581*T1^2*T2 + 315*T1^3*T2 + 315*T1^4*T2 - 
      581*T1^5*T2 + 412*T1^6*T2 - 92*T1^7*T2 + 198*T2^2 - 581*T1*T2^2 - 
      243*T1^2*T2^2 + 1903*T1^3*T2^2 - 3081*T1^4*T2^2 + 1903*T1^5*T2^2 - 
      243*T1^6*T2^2 - 581*T1^7*T2^2 + 198*T1^8*T2^2 - 255*T2^3 + 
      315*T1*T2^3 + 1903*T1^2*T2^3 - 3396*T1^3*T2^3 + 2197*T1^4*T2^3 + 
      2197*T1^5*T2^3 - 3396*T1^6*T2^3 + 1903*T1^7*T2^3 + 315*T1^8*T2^3 - 
      255*T1^9*T2^3 + 198*T2^4 + 315*T1*T2^4 - 3081*T1^2*T2^4 + 
      2197*T1^3*T2^4 + 1547*T1^4*T2^4 - 5407*T1^5*T2^4 + 1547*T1^6*T2^4 + 
      2197*T1^7*T2^4 - 3081*T1^8*T2^4 + 315*T1^9*T2^4 + 198*T1^10*T2^4 - 
      92*T2^5 - 581*T1*T2^5 + 1903*T1^2*T2^5 + 2197*T1^3*T2^5 - 
      5407*T1^4*T2^5 + 4242*T1^5*T2^5 + 4242*T1^6*T2^5 - 5407*T1^7*T2^5 + 
      2197*T1^8*T2^5 + 1903*T1^9*T2^5 - 581*T1^10*T2^5 - 92*T1^11*T2^5 + 
      17*T2^6 + 412*T1*T2^6 - 243*T1^2*T2^6 - 3396*T1^3*T2^6 + 
      1547*T1^4*T2^6 + 4242*T1^5*T2^6 - 10296*T1^6*T2^6 + 4242*T1^7*T2^6 + 
      1547*T1^8*T2^6 - 3396*T1^9*T2^6 - 243*T1^10*T2^6 + 412*T1^11*T2^6 + 
      17*T1^12*T2^6 - 92*T1*T2^7 - 581*T1^2*T2^7 + 1903*T1^3*T2^7 + 
      2197*T1^4*T2^7 - 5407*T1^5*T2^7 + 4242*T1^6*T2^7 + 4242*T1^7*T2^7 - 
      5407*T1^8*T2^7 + 2197*T1^9*T2^7 + 1903*T1^10*T2^7 - 581*T1^11*T2^7 - 
      92*T1^12*T2^7 + 198*T1^2*T2^8 + 315*T1^3*T2^8 - 3081*T1^4*T2^8 + 
      2197*T1^5*T2^8 + 1547*T1^6*T2^8 - 5407*T1^7*T2^8 + 1547*T1^8*T2^8 + 
      2197*T1^9*T2^8 - 3081*T1^10*T2^8 + 315*T1^11*T2^8 + 198*T1^12*T2^8 - 
      255*T1^3*T2^9 + 315*T1^4*T2^9 + 1903*T1^5*T2^9 - 3396*T1^6*T2^9 + 
      2197*T1^7*T2^9 + 2197*T1^8*T2^9 - 3396*T1^9*T2^9 + 1903*T1^10*T2^9 + 
      315*T1^11*T2^9 - 255*T1^12*T2^9 + 198*T1^4*T2^10 - 581*T1^5*T2^10 - 
      243*T1^6*T2^10 + 1903*T1^7*T2^10 - 3081*T1^8*T2^10 + 1903*T1^9*T2^10 - 
      243*T1^10*T2^10 - 581*T1^11*T2^10 + 198*T1^12*T2^10 - 92*T1^5*T2^11 + 
      412*T1^6*T2^11 - 581*T1^7*T2^11 + 315*T1^8*T2^11 + 315*T1^9*T2^11 - 
      581*T1^10*T2^11 + 412*T1^11*T2^11 - 92*T1^12*T2^11 + 17*T1^6*T2^12 - 
      92*T1^7*T2^12 + 198*T1^8*T2^12 - 255*T1^9*T2^12 + 198*T1^10*T2^12 - 
      92*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   -((3 - 9*T1 + 14*T1^2 - 15*T1^3 + 14*T1^4 - 9*T1^5 + 3*T1^6 - 9*T2 + 
      14*T1*T2 - 7*T1^2*T2 - T1^3*T2 - T1^4*T2 - 7*T1^5*T2 + 14*T1^6*T2 - 
      9*T1^7*T2 + 14*T2^2 - 7*T1*T2^2 + 2*T1^2*T2^2 - 40*T1^3*T2^2 + 
      72*T1^4*T2^2 - 40*T1^5*T2^2 + 2*T1^6*T2^2 - 7*T1^7*T2^2 + 
      14*T1^8*T2^2 - 15*T2^3 - T1*T2^3 - 40*T1^2*T2^3 + 136*T1^3*T2^3 - 
      76*T1^4*T2^3 - 76*T1^5*T2^3 + 136*T1^6*T2^3 - 40*T1^7*T2^3 - 
      T1^8*T2^3 - 15*T1^9*T2^3 + 14*T2^4 - T1*T2^4 + 72*T1^2*T2^4 - 
      76*T1^3*T2^4 - 227*T1^4*T2^4 + 371*T1^5*T2^4 - 227*T1^6*T2^4 - 
      76*T1^7*T2^4 + 72*T1^8*T2^4 - T1^9*T2^4 + 14*T1^10*T2^4 - 9*T2^5 - 
      7*T1*T2^5 - 40*T1^2*T2^5 - 76*T1^3*T2^5 + 371*T1^4*T2^5 - 
      170*T1^5*T2^5 - 170*T1^6*T2^5 + 371*T1^7*T2^5 - 76*T1^8*T2^5 - 
      40*T1^9*T2^5 - 7*T1^10*T2^5 - 9*T1^11*T2^5 + 3*T2^6 + 14*T1*T2^6 + 
      2*T1^2*T2^6 + 136*T1^3*T2^6 - 227*T1^4*T2^6 - 170*T1^5*T2^6 + 
      312*T1^6*T2^6 - 170*T1^7*T2^6 - 227*T1^8*T2^6 + 136*T1^9*T2^6 + 
      2*T1^10*T2^6 + 14*T1^11*T2^6 + 3*T1^12*T2^6 - 9*T1*T2^7 - 7*T1^2*T2^7 - 
      40*T1^3*T2^7 - 76*T1^4*T2^7 + 371*T1^5*T2^7 - 170*T1^6*T2^7 - 
      170*T1^7*T2^7 + 371*T1^8*T2^7 - 76*T1^9*T2^7 - 40*T1^10*T2^7 - 
      7*T1^11*T2^7 - 9*T1^12*T2^7 + 14*T1^2*T2^8 - T1^3*T2^8 + 72*T1^4*T2^8 - 
      76*T1^5*T2^8 - 227*T1^6*T2^8 + 371*T1^7*T2^8 - 227*T1^8*T2^8 - 
      76*T1^9*T2^8 + 72*T1^10*T2^8 - T1^11*T2^8 + 14*T1^12*T2^8 - 
      15*T1^3*T2^9 - T1^4*T2^9 - 40*T1^5*T2^9 + 136*T1^6*T2^9 - 
      76*T1^7*T2^9 - 76*T1^8*T2^9 + 136*T1^9*T2^9 - 40*T1^10*T2^9 - 
      T1^11*T2^9 - 15*T1^12*T2^9 + 14*T1^4*T2^10 - 7*T1^5*T2^10 + 
      2*T1^6*T2^10 - 40*T1^7*T2^10 + 72*T1^8*T2^10 - 40*T1^9*T2^10 + 
      2*T1^10*T2^10 - 7*T1^11*T2^10 + 14*T1^12*T2^10 - 9*T1^5*T2^11 + 
      14*T1^6*T2^11 - 7*T1^7*T2^11 - T1^8*T2^11 - T1^9*T2^11 - 
      7*T1^10*T2^11 + 14*T1^11*T2^11 - 9*T1^12*T2^11 + 3*T1^6*T2^12 - 
      9*T1^7*T2^12 + 14*T1^8*T2^12 - 15*T1^9*T2^12 + 14*T1^10*T2^12 - 
      9*T1^11*T2^12 + 3*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 755] -> 
  {(1 - 10*T + 29*T^2 - 39*T^3 + 29*T^4 - 10*T^5 + T^6)/T^3, 
   (1 - 10*T1 + 29*T1^2 - 39*T1^3 + 29*T1^4 - 10*T1^5 + T1^6 - 10*T2 + 
     92*T1*T2 - 192*T1^2*T2 + 98*T1^3*T2 + 98*T1^4*T2 - 192*T1^5*T2 + 
     92*T1^6*T2 - 10*T1^7*T2 + 29*T2^2 - 192*T1*T2^2 - 200*T1^2*T2^2 + 
     1679*T1^3*T2^2 - 2428*T1^4*T2^2 + 1679*T1^5*T2^2 - 200*T1^6*T2^2 - 
     192*T1^7*T2^2 + 29*T1^8*T2^2 - 39*T2^3 + 98*T1*T2^3 + 1679*T1^2*T2^3 - 
     4382*T1^3*T2^3 + 2213*T1^4*T2^3 + 2213*T1^5*T2^3 - 4382*T1^6*T2^3 + 
     1679*T1^7*T2^3 + 98*T1^8*T2^3 - 39*T1^9*T2^3 + 29*T2^4 + 98*T1*T2^4 - 
     2428*T1^2*T2^4 + 2213*T1^3*T2^4 + 6814*T1^4*T2^4 - 11280*T1^5*T2^4 + 
     6814*T1^6*T2^4 + 2213*T1^7*T2^4 - 2428*T1^8*T2^4 + 98*T1^9*T2^4 + 
     29*T1^10*T2^4 - 10*T2^5 - 192*T1*T2^5 + 1679*T1^2*T2^5 + 
     2213*T1^3*T2^5 - 11280*T1^4*T2^5 + 5772*T1^5*T2^5 + 5772*T1^6*T2^5 - 
     11280*T1^7*T2^5 + 2213*T1^8*T2^5 + 1679*T1^9*T2^5 - 192*T1^10*T2^5 - 
     10*T1^11*T2^5 + T2^6 + 92*T1*T2^6 - 200*T1^2*T2^6 - 4382*T1^3*T2^6 + 
     6814*T1^4*T2^6 + 5772*T1^5*T2^6 - 11904*T1^6*T2^6 + 5772*T1^7*T2^6 + 
     6814*T1^8*T2^6 - 4382*T1^9*T2^6 - 200*T1^10*T2^6 + 92*T1^11*T2^6 + 
     T1^12*T2^6 - 10*T1*T2^7 - 192*T1^2*T2^7 + 1679*T1^3*T2^7 + 
     2213*T1^4*T2^7 - 11280*T1^5*T2^7 + 5772*T1^6*T2^7 + 5772*T1^7*T2^7 - 
     11280*T1^8*T2^7 + 2213*T1^9*T2^7 + 1679*T1^10*T2^7 - 192*T1^11*T2^7 - 
     10*T1^12*T2^7 + 29*T1^2*T2^8 + 98*T1^3*T2^8 - 2428*T1^4*T2^8 + 
     2213*T1^5*T2^8 + 6814*T1^6*T2^8 - 11280*T1^7*T2^8 + 6814*T1^8*T2^8 + 
     2213*T1^9*T2^8 - 2428*T1^10*T2^8 + 98*T1^11*T2^8 + 29*T1^12*T2^8 - 
     39*T1^3*T2^9 + 98*T1^4*T2^9 + 1679*T1^5*T2^9 - 4382*T1^6*T2^9 + 
     2213*T1^7*T2^9 + 2213*T1^8*T2^9 - 4382*T1^9*T2^9 + 1679*T1^10*T2^9 + 
     98*T1^11*T2^9 - 39*T1^12*T2^9 + 29*T1^4*T2^10 - 192*T1^5*T2^10 - 
     200*T1^6*T2^10 + 1679*T1^7*T2^10 - 2428*T1^8*T2^10 + 1679*T1^9*T2^10 - 
     200*T1^10*T2^10 - 192*T1^11*T2^10 + 29*T1^12*T2^10 - 10*T1^5*T2^11 + 
     92*T1^6*T2^11 - 192*T1^7*T2^11 + 98*T1^8*T2^11 + 98*T1^9*T2^11 - 
     192*T1^10*T2^11 + 92*T1^11*T2^11 - 10*T1^12*T2^11 + T1^6*T2^12 - 
     10*T1^7*T2^12 + 29*T1^8*T2^12 - 39*T1^9*T2^12 + 29*T1^10*T2^12 - 
     10*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 756] -> 
  {((1 - T + T^2)*(2 - 8*T + 13*T^2 - 8*T^3 + 2*T^4))/T^3, 
   (7 - 35*T1 + 80*T1^2 - 101*T1^3 + 80*T1^4 - 35*T1^5 + 7*T1^6 - 35*T2 + 
     140*T1*T2 - 225*T1^2*T2 + 105*T1^3*T2 + 105*T1^4*T2 - 225*T1^5*T2 + 
     140*T1^6*T2 - 35*T1^7*T2 + 80*T2^2 - 225*T1*T2^2 + 95*T1^2*T2^2 + 
     522*T1^3*T2^2 - 815*T1^4*T2^2 + 522*T1^5*T2^2 + 95*T1^6*T2^2 - 
     225*T1^7*T2^2 + 80*T1^8*T2^2 - 101*T2^3 + 105*T1*T2^3 + 522*T1^2*T2^3 - 
     1366*T1^3*T2^3 + 681*T1^4*T2^3 + 681*T1^5*T2^3 - 1366*T1^6*T2^3 + 
     522*T1^7*T2^3 + 105*T1^8*T2^3 - 101*T1^9*T2^3 + 80*T2^4 + 105*T1*T2^4 - 
     815*T1^2*T2^4 + 681*T1^3*T2^4 + 1614*T1^4*T2^4 - 2808*T1^5*T2^4 + 
     1614*T1^6*T2^4 + 681*T1^7*T2^4 - 815*T1^8*T2^4 + 105*T1^9*T2^4 + 
     80*T1^10*T2^4 - 35*T2^5 - 225*T1*T2^5 + 522*T1^2*T2^5 + 681*T1^3*T2^5 - 
     2808*T1^4*T2^5 + 1544*T1^5*T2^5 + 1544*T1^6*T2^5 - 2808*T1^7*T2^5 + 
     681*T1^8*T2^5 + 522*T1^9*T2^5 - 225*T1^10*T2^5 - 35*T1^11*T2^5 + 
     7*T2^6 + 140*T1*T2^6 + 95*T1^2*T2^6 - 1366*T1^3*T2^6 + 1614*T1^4*T2^6 + 
     1544*T1^5*T2^6 - 3396*T1^6*T2^6 + 1544*T1^7*T2^6 + 1614*T1^8*T2^6 - 
     1366*T1^9*T2^6 + 95*T1^10*T2^6 + 140*T1^11*T2^6 + 7*T1^12*T2^6 - 
     35*T1*T2^7 - 225*T1^2*T2^7 + 522*T1^3*T2^7 + 681*T1^4*T2^7 - 
     2808*T1^5*T2^7 + 1544*T1^6*T2^7 + 1544*T1^7*T2^7 - 2808*T1^8*T2^7 + 
     681*T1^9*T2^7 + 522*T1^10*T2^7 - 225*T1^11*T2^7 - 35*T1^12*T2^7 + 
     80*T1^2*T2^8 + 105*T1^3*T2^8 - 815*T1^4*T2^8 + 681*T1^5*T2^8 + 
     1614*T1^6*T2^8 - 2808*T1^7*T2^8 + 1614*T1^8*T2^8 + 681*T1^9*T2^8 - 
     815*T1^10*T2^8 + 105*T1^11*T2^8 + 80*T1^12*T2^8 - 101*T1^3*T2^9 + 
     105*T1^4*T2^9 + 522*T1^5*T2^9 - 1366*T1^6*T2^9 + 681*T1^7*T2^9 + 
     681*T1^8*T2^9 - 1366*T1^9*T2^9 + 522*T1^10*T2^9 + 105*T1^11*T2^9 - 
     101*T1^12*T2^9 + 80*T1^4*T2^10 - 225*T1^5*T2^10 + 95*T1^6*T2^10 + 
     522*T1^7*T2^10 - 815*T1^8*T2^10 + 522*T1^9*T2^10 + 95*T1^10*T2^10 - 
     225*T1^11*T2^10 + 80*T1^12*T2^10 - 35*T1^5*T2^11 + 140*T1^6*T2^11 - 
     225*T1^7*T2^11 + 105*T1^8*T2^11 + 105*T1^9*T2^11 - 225*T1^10*T2^11 + 
     140*T1^11*T2^11 - 35*T1^12*T2^11 + 7*T1^6*T2^12 - 35*T1^7*T2^12 + 
     80*T1^8*T2^12 - 101*T1^9*T2^12 + 80*T1^10*T2^12 - 35*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 757] -> 
  {((1 - 3*T + T^2)*(1 - 6*T + 9*T^2 - 6*T^3 + T^4))/T^3, 
   (1 - 9*T1 + 28*T1^2 - 39*T1^3 + 28*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
     72*T1*T2 - 169*T1^2*T2 + 97*T1^3*T2 + 97*T1^4*T2 - 169*T1^5*T2 + 
     72*T1^6*T2 - 9*T1^7*T2 + 28*T2^2 - 169*T1*T2^2 + 79*T1^2*T2^2 + 
     858*T1^3*T2^2 - 1465*T1^4*T2^2 + 858*T1^5*T2^2 + 79*T1^6*T2^2 - 
     169*T1^7*T2^2 + 28*T1^8*T2^2 - 39*T2^3 + 97*T1*T2^3 + 858*T1^2*T2^3 - 
     2896*T1^3*T2^3 + 1739*T1^4*T2^3 + 1739*T1^5*T2^3 - 2896*T1^6*T2^3 + 
     858*T1^7*T2^3 + 97*T1^8*T2^3 - 39*T1^9*T2^3 + 28*T2^4 + 97*T1*T2^4 - 
     1465*T1^2*T2^4 + 1739*T1^3*T2^4 + 4585*T1^4*T2^4 - 8837*T1^5*T2^4 + 
     4585*T1^6*T2^4 + 1739*T1^7*T2^4 - 1465*T1^8*T2^4 + 97*T1^9*T2^4 + 
     28*T1^10*T2^4 - 9*T2^5 - 169*T1*T2^5 + 858*T1^2*T2^5 + 1739*T1^3*T2^5 - 
     8837*T1^4*T2^5 + 5518*T1^5*T2^5 + 5518*T1^6*T2^5 - 8837*T1^7*T2^5 + 
     1739*T1^8*T2^5 + 858*T1^9*T2^5 - 169*T1^10*T2^5 - 9*T1^11*T2^5 + T2^6 + 
     72*T1*T2^6 + 79*T1^2*T2^6 - 2896*T1^3*T2^6 + 4585*T1^4*T2^6 + 
     5518*T1^5*T2^6 - 12636*T1^6*T2^6 + 5518*T1^7*T2^6 + 4585*T1^8*T2^6 - 
     2896*T1^9*T2^6 + 79*T1^10*T2^6 + 72*T1^11*T2^6 + T1^12*T2^6 - 
     9*T1*T2^7 - 169*T1^2*T2^7 + 858*T1^3*T2^7 + 1739*T1^4*T2^7 - 
     8837*T1^5*T2^7 + 5518*T1^6*T2^7 + 5518*T1^7*T2^7 - 8837*T1^8*T2^7 + 
     1739*T1^9*T2^7 + 858*T1^10*T2^7 - 169*T1^11*T2^7 - 9*T1^12*T2^7 + 
     28*T1^2*T2^8 + 97*T1^3*T2^8 - 1465*T1^4*T2^8 + 1739*T1^5*T2^8 + 
     4585*T1^6*T2^8 - 8837*T1^7*T2^8 + 4585*T1^8*T2^8 + 1739*T1^9*T2^8 - 
     1465*T1^10*T2^8 + 97*T1^11*T2^8 + 28*T1^12*T2^8 - 39*T1^3*T2^9 + 
     97*T1^4*T2^9 + 858*T1^5*T2^9 - 2896*T1^6*T2^9 + 1739*T1^7*T2^9 + 
     1739*T1^8*T2^9 - 2896*T1^9*T2^9 + 858*T1^10*T2^9 + 97*T1^11*T2^9 - 
     39*T1^12*T2^9 + 28*T1^4*T2^10 - 169*T1^5*T2^10 + 79*T1^6*T2^10 + 
     858*T1^7*T2^10 - 1465*T1^8*T2^10 + 858*T1^9*T2^10 + 79*T1^10*T2^10 - 
     169*T1^11*T2^10 + 28*T1^12*T2^10 - 9*T1^5*T2^11 + 72*T1^6*T2^11 - 
     169*T1^7*T2^11 + 97*T1^8*T2^11 + 97*T1^9*T2^11 - 169*T1^10*T2^11 + 
     72*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 
     28*T1^8*T2^12 - 39*T1^9*T2^12 + 28*T1^10*T2^12 - 9*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 758] -> 
  {(5 - 14*T + 21*T^2 - 23*T^3 + 21*T^4 - 14*T^5 + 5*T^6)/T^3, 
   (395 - 1075*T1 + 1580*T1^2 - 1713*T1^3 + 1580*T1^4 - 1075*T1^5 + 
     395*T1^6 - 1075*T2 + 1870*T1*T2 - 1405*T1^2*T2 + 378*T1^3*T2 + 
     378*T1^4*T2 - 1405*T1^5*T2 + 1870*T1^6*T2 - 1075*T1^7*T2 + 1580*T2^2 - 
     1405*T1*T2^2 - 238*T1^2*T2^2 + 1068*T1^3*T2^2 - 746*T1^4*T2^2 + 
     1068*T1^5*T2^2 - 238*T1^6*T2^2 - 1405*T1^7*T2^2 + 1580*T1^8*T2^2 - 
     1713*T2^3 + 378*T1*T2^3 + 1068*T1^2*T2^3 - 600*T1^3*T2^3 - 
     322*T1^4*T2^3 - 322*T1^5*T2^3 - 600*T1^6*T2^3 + 1068*T1^7*T2^3 + 
     378*T1^8*T2^3 - 1713*T1^9*T2^3 + 1580*T2^4 + 378*T1*T2^4 - 
     746*T1^2*T2^4 - 322*T1^3*T2^4 + 666*T1^4*T2^4 + 406*T1^5*T2^4 + 
     666*T1^6*T2^4 - 322*T1^7*T2^4 - 746*T1^8*T2^4 + 378*T1^9*T2^4 + 
     1580*T1^10*T2^4 - 1075*T2^5 - 1405*T1*T2^5 + 1068*T1^2*T2^5 - 
     322*T1^3*T2^5 + 406*T1^4*T2^5 - 856*T1^5*T2^5 - 856*T1^6*T2^5 + 
     406*T1^7*T2^5 - 322*T1^8*T2^5 + 1068*T1^9*T2^5 - 1405*T1^10*T2^5 - 
     1075*T1^11*T2^5 + 395*T2^6 + 1870*T1*T2^6 - 238*T1^2*T2^6 - 
     600*T1^3*T2^6 + 666*T1^4*T2^6 - 856*T1^5*T2^6 + 2208*T1^6*T2^6 - 
     856*T1^7*T2^6 + 666*T1^8*T2^6 - 600*T1^9*T2^6 - 238*T1^10*T2^6 + 
     1870*T1^11*T2^6 + 395*T1^12*T2^6 - 1075*T1*T2^7 - 1405*T1^2*T2^7 + 
     1068*T1^3*T2^7 - 322*T1^4*T2^7 + 406*T1^5*T2^7 - 856*T1^6*T2^7 - 
     856*T1^7*T2^7 + 406*T1^8*T2^7 - 322*T1^9*T2^7 + 1068*T1^10*T2^7 - 
     1405*T1^11*T2^7 - 1075*T1^12*T2^7 + 1580*T1^2*T2^8 + 378*T1^3*T2^8 - 
     746*T1^4*T2^8 - 322*T1^5*T2^8 + 666*T1^6*T2^8 + 406*T1^7*T2^8 + 
     666*T1^8*T2^8 - 322*T1^9*T2^8 - 746*T1^10*T2^8 + 378*T1^11*T2^8 + 
     1580*T1^12*T2^8 - 1713*T1^3*T2^9 + 378*T1^4*T2^9 + 1068*T1^5*T2^9 - 
     600*T1^6*T2^9 - 322*T1^7*T2^9 - 322*T1^8*T2^9 - 600*T1^9*T2^9 + 
     1068*T1^10*T2^9 + 378*T1^11*T2^9 - 1713*T1^12*T2^9 + 1580*T1^4*T2^10 - 
     1405*T1^5*T2^10 - 238*T1^6*T2^10 + 1068*T1^7*T2^10 - 746*T1^8*T2^10 + 
     1068*T1^9*T2^10 - 238*T1^10*T2^10 - 1405*T1^11*T2^10 + 
     1580*T1^12*T2^10 - 1075*T1^5*T2^11 + 1870*T1^6*T2^11 - 1405*T1^7*T2^11 + 
     378*T1^8*T2^11 + 378*T1^9*T2^11 - 1405*T1^10*T2^11 + 1870*T1^11*T2^11 - 
     1075*T1^12*T2^11 + 395*T1^6*T2^12 - 1075*T1^7*T2^12 + 1580*T1^8*T2^12 - 
     1713*T1^9*T2^12 + 1580*T1^10*T2^12 - 1075*T1^11*T2^12 + 395*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 759] -> 
  {-((7 - 28*T + 41*T^2 - 28*T^3 + 7*T^4)/T^2), 
   -((406 - 1582*T1 + 2284*T1^2 - 1582*T1^3 + 406*T1^4 - 1582*T2 + 
      4594*T1*T2 - 2749*T1^2*T2 - 2749*T1^3*T2 + 4594*T1^4*T2 - 
      1582*T1^5*T2 + 2284*T2^2 - 2749*T1*T2^2 - 8969*T1^2*T2^2 + 
      17107*T1^3*T2^2 - 8969*T1^4*T2^2 - 2749*T1^5*T2^2 + 2284*T1^6*T2^2 - 
      1582*T2^3 - 2749*T1*T2^3 + 17107*T1^2*T2^3 - 11078*T1^3*T2^3 - 
      11078*T1^4*T2^3 + 17107*T1^5*T2^3 - 2749*T1^6*T2^3 - 1582*T1^7*T2^3 + 
      406*T2^4 + 4594*T1*T2^4 - 8969*T1^2*T2^4 - 11078*T1^3*T2^4 + 
      25908*T1^4*T2^4 - 11078*T1^5*T2^4 - 8969*T1^6*T2^4 + 4594*T1^7*T2^4 + 
      406*T1^8*T2^4 - 1582*T1*T2^5 - 2749*T1^2*T2^5 + 17107*T1^3*T2^5 - 
      11078*T1^4*T2^5 - 11078*T1^5*T2^5 + 17107*T1^6*T2^5 - 2749*T1^7*T2^5 - 
      1582*T1^8*T2^5 + 2284*T1^2*T2^6 - 2749*T1^3*T2^6 - 8969*T1^4*T2^6 + 
      17107*T1^5*T2^6 - 8969*T1^6*T2^6 - 2749*T1^7*T2^6 + 2284*T1^8*T2^6 - 
      1582*T1^3*T2^7 + 4594*T1^4*T2^7 - 2749*T1^5*T2^7 - 2749*T1^6*T2^7 + 
      4594*T1^7*T2^7 - 1582*T1^8*T2^7 + 406*T1^4*T2^8 - 1582*T1^5*T2^8 + 
      2284*T1^6*T2^8 - 1582*T1^7*T2^8 + 406*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, NonAlternating, 760] -> 
  {-((2 - 11*T + 29*T^2 - 41*T^3 + 29*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((1 - 4*T1 + 10*T1^2 - 15*T1^3 + 10*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 
      10*T1*T2 - 18*T1^2*T2 + 16*T1^3*T2 + 16*T1^4*T2 - 18*T1^5*T2 + 
      10*T1^6*T2 - 4*T1^7*T2 + 10*T2^2 - 18*T1*T2^2 + 63*T1^2*T2^2 - 
      134*T1^3*T2^2 + 115*T1^4*T2^2 - 134*T1^5*T2^2 + 63*T1^6*T2^2 - 
      18*T1^7*T2^2 + 10*T1^8*T2^2 - 15*T2^3 + 16*T1*T2^3 - 134*T1^2*T2^3 + 
      230*T1^3*T2^3 - 12*T1^4*T2^3 - 12*T1^5*T2^3 + 230*T1^6*T2^3 - 
      134*T1^7*T2^3 + 16*T1^8*T2^3 - 15*T1^9*T2^3 + 10*T2^4 + 16*T1*T2^4 + 
      115*T1^2*T2^4 - 12*T1^3*T2^4 - 373*T1^4*T2^4 + 31*T1^5*T2^4 - 
      373*T1^6*T2^4 - 12*T1^7*T2^4 + 115*T1^8*T2^4 + 16*T1^9*T2^4 + 
      10*T1^10*T2^4 - 4*T2^5 - 18*T1*T2^5 - 134*T1^2*T2^5 - 12*T1^3*T2^5 + 
      31*T1^4*T2^5 + 548*T1^5*T2^5 + 548*T1^6*T2^5 + 31*T1^7*T2^5 - 
      12*T1^8*T2^5 - 134*T1^9*T2^5 - 18*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 
      10*T1*T2^6 + 63*T1^2*T2^6 + 230*T1^3*T2^6 - 373*T1^4*T2^6 + 
      548*T1^5*T2^6 - 1956*T1^6*T2^6 + 548*T1^7*T2^6 - 373*T1^8*T2^6 + 
      230*T1^9*T2^6 + 63*T1^10*T2^6 + 10*T1^11*T2^6 + T1^12*T2^6 - 
      4*T1*T2^7 - 18*T1^2*T2^7 - 134*T1^3*T2^7 - 12*T1^4*T2^7 + 
      31*T1^5*T2^7 + 548*T1^6*T2^7 + 548*T1^7*T2^7 + 31*T1^8*T2^7 - 
      12*T1^9*T2^7 - 134*T1^10*T2^7 - 18*T1^11*T2^7 - 4*T1^12*T2^7 + 
      10*T1^2*T2^8 + 16*T1^3*T2^8 + 115*T1^4*T2^8 - 12*T1^5*T2^8 - 
      373*T1^6*T2^8 + 31*T1^7*T2^8 - 373*T1^8*T2^8 - 12*T1^9*T2^8 + 
      115*T1^10*T2^8 + 16*T1^11*T2^8 + 10*T1^12*T2^8 - 15*T1^3*T2^9 + 
      16*T1^4*T2^9 - 134*T1^5*T2^9 + 230*T1^6*T2^9 - 12*T1^7*T2^9 - 
      12*T1^8*T2^9 + 230*T1^9*T2^9 - 134*T1^10*T2^9 + 16*T1^11*T2^9 - 
      15*T1^12*T2^9 + 10*T1^4*T2^10 - 18*T1^5*T2^10 + 63*T1^6*T2^10 - 
      134*T1^7*T2^10 + 115*T1^8*T2^10 - 134*T1^9*T2^10 + 63*T1^10*T2^10 - 
      18*T1^11*T2^10 + 10*T1^12*T2^10 - 4*T1^5*T2^11 + 10*T1^6*T2^11 - 
      18*T1^7*T2^11 + 16*T1^8*T2^11 + 16*T1^9*T2^11 - 18*T1^10*T2^11 + 
      10*T1^11*T2^11 - 4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 
      10*T1^8*T2^12 - 15*T1^9*T2^12 + 10*T1^10*T2^12 - 4*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, 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, 
   (2 - 10*T1 + 20*T1^2 - 20*T1^3 + 18*T1^4 - 20*T1^5 + 20*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 50*T1^2*T2 + 10*T1^4*T2 + 10*T1^5*T2 - 
     50*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 20*T2^2 - 50*T1*T2^2 - 
     30*T1^2*T2^2 + 198*T1^3*T2^2 - 119*T1^4*T2^2 + 48*T1^5*T2^2 - 
     119*T1^6*T2^2 + 198*T1^7*T2^2 - 30*T1^8*T2^2 - 50*T1^9*T2^2 + 
     20*T1^10*T2^2 - 20*T2^3 + 198*T1^2*T2^3 - 304*T1^3*T2^3 - 91*T1^4*T2^3 + 
     112*T1^5*T2^3 + 112*T1^6*T2^3 - 91*T1^7*T2^3 - 304*T1^8*T2^3 + 
     198*T1^9*T2^3 - 20*T1^11*T2^3 + 18*T2^4 + 10*T1*T2^4 - 119*T1^2*T2^4 - 
     91*T1^3*T2^4 + 650*T1^4*T2^4 - 339*T1^5*T2^4 + 72*T1^6*T2^4 - 
     339*T1^7*T2^4 + 650*T1^8*T2^4 - 91*T1^9*T2^4 - 119*T1^10*T2^4 + 
     10*T1^11*T2^4 + 18*T1^12*T2^4 - 20*T2^5 + 10*T1*T2^5 + 48*T1^2*T2^5 + 
     112*T1^3*T2^5 - 339*T1^4*T2^5 - 166*T1^5*T2^5 + 172*T1^6*T2^5 + 
     172*T1^7*T2^5 - 166*T1^8*T2^5 - 339*T1^9*T2^5 + 112*T1^10*T2^5 + 
     48*T1^11*T2^5 + 10*T1^12*T2^5 - 20*T1^13*T2^5 + 20*T2^6 - 
     119*T1^2*T2^6 + 112*T1^3*T2^6 + 72*T1^4*T2^6 + 172*T1^5*T2^6 - 
     121*T1^6*T2^6 + 49*T1^7*T2^6 - 121*T1^8*T2^6 + 172*T1^9*T2^6 + 
     72*T1^10*T2^6 + 112*T1^11*T2^6 - 119*T1^12*T2^6 + 20*T1^14*T2^6 - 
     10*T2^7 - 50*T1*T2^7 + 198*T1^2*T2^7 - 91*T1^3*T2^7 - 339*T1^4*T2^7 + 
     172*T1^5*T2^7 + 49*T1^6*T2^7 - 58*T1^7*T2^7 - 58*T1^8*T2^7 + 
     49*T1^9*T2^7 + 172*T1^10*T2^7 - 339*T1^11*T2^7 - 91*T1^12*T2^7 + 
     198*T1^13*T2^7 - 50*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 - 
     30*T1^2*T2^8 - 304*T1^3*T2^8 + 650*T1^4*T2^8 - 166*T1^5*T2^8 - 
     121*T1^6*T2^8 - 58*T1^7*T2^8 + 204*T1^8*T2^8 - 58*T1^9*T2^8 - 
     121*T1^10*T2^8 - 166*T1^11*T2^8 + 650*T1^12*T2^8 - 304*T1^13*T2^8 - 
     30*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     50*T1^2*T2^9 + 198*T1^3*T2^9 - 91*T1^4*T2^9 - 339*T1^5*T2^9 + 
     172*T1^6*T2^9 + 49*T1^7*T2^9 - 58*T1^8*T2^9 - 58*T1^9*T2^9 + 
     49*T1^10*T2^9 + 172*T1^11*T2^9 - 339*T1^12*T2^9 - 91*T1^13*T2^9 + 
     198*T1^14*T2^9 - 50*T1^15*T2^9 - 10*T1^16*T2^9 + 20*T1^2*T2^10 - 
     119*T1^4*T2^10 + 112*T1^5*T2^10 + 72*T1^6*T2^10 + 172*T1^7*T2^10 - 
     121*T1^8*T2^10 + 49*T1^9*T2^10 - 121*T1^10*T2^10 + 172*T1^11*T2^10 + 
     72*T1^12*T2^10 + 112*T1^13*T2^10 - 119*T1^14*T2^10 + 20*T1^16*T2^10 - 
     20*T1^3*T2^11 + 10*T1^4*T2^11 + 48*T1^5*T2^11 + 112*T1^6*T2^11 - 
     339*T1^7*T2^11 - 166*T1^8*T2^11 + 172*T1^9*T2^11 + 172*T1^10*T2^11 - 
     166*T1^11*T2^11 - 339*T1^12*T2^11 + 112*T1^13*T2^11 + 48*T1^14*T2^11 + 
     10*T1^15*T2^11 - 20*T1^16*T2^11 + 18*T1^4*T2^12 + 10*T1^5*T2^12 - 
     119*T1^6*T2^12 - 91*T1^7*T2^12 + 650*T1^8*T2^12 - 339*T1^9*T2^12 + 
     72*T1^10*T2^12 - 339*T1^11*T2^12 + 650*T1^12*T2^12 - 91*T1^13*T2^12 - 
     119*T1^14*T2^12 + 10*T1^15*T2^12 + 18*T1^16*T2^12 - 20*T1^5*T2^13 + 
     198*T1^7*T2^13 - 304*T1^8*T2^13 - 91*T1^9*T2^13 + 112*T1^10*T2^13 + 
     112*T1^11*T2^13 - 91*T1^12*T2^13 - 304*T1^13*T2^13 + 198*T1^14*T2^13 - 
     20*T1^16*T2^13 + 20*T1^6*T2^14 - 50*T1^7*T2^14 - 30*T1^8*T2^14 + 
     198*T1^9*T2^14 - 119*T1^10*T2^14 + 48*T1^11*T2^14 - 119*T1^12*T2^14 + 
     198*T1^13*T2^14 - 30*T1^14*T2^14 - 50*T1^15*T2^14 + 20*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 50*T1^9*T2^15 + 10*T1^11*T2^15 + 
     10*T1^12*T2^15 - 50*T1^14*T2^15 + 40*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)/(T1^8*T2^8)}, 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, 
   (2 - 10*T1 + 20*T1^2 - 24*T1^3 + 26*T1^4 - 24*T1^5 + 20*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 50*T1^2*T2 + 20*T1^3*T2 - 10*T1^4*T2 - 
     10*T1^5*T2 + 20*T1^6*T2 - 50*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     20*T2^2 - 50*T1*T2^2 - 30*T1^2*T2^2 + 160*T1^3*T2^2 - 139*T1^4*T2^2 + 
     164*T1^5*T2^2 - 139*T1^6*T2^2 + 160*T1^7*T2^2 - 30*T1^8*T2^2 - 
     50*T1^9*T2^2 + 20*T1^10*T2^2 - 24*T2^3 + 20*T1*T2^3 + 160*T1^2*T2^3 - 
     238*T1^3*T2^3 + 9*T1^4*T2^3 - 34*T1^5*T2^3 - 34*T1^6*T2^3 + 
     9*T1^7*T2^3 - 238*T1^8*T2^3 + 160*T1^9*T2^3 + 20*T1^10*T2^3 - 
     24*T1^11*T2^3 + 26*T2^4 - 10*T1*T2^4 - 139*T1^2*T2^4 + 9*T1^3*T2^4 + 
     344*T1^4*T2^4 - 164*T1^5*T2^4 + 230*T1^6*T2^4 - 164*T1^7*T2^4 + 
     344*T1^8*T2^4 + 9*T1^9*T2^4 - 139*T1^10*T2^4 - 10*T1^11*T2^4 + 
     26*T1^12*T2^4 - 24*T2^5 - 10*T1*T2^5 + 164*T1^2*T2^5 - 34*T1^3*T2^5 - 
     164*T1^4*T2^5 - 136*T1^5*T2^5 - 32*T1^6*T2^5 - 32*T1^7*T2^5 - 
     136*T1^8*T2^5 - 164*T1^9*T2^5 - 34*T1^10*T2^5 + 164*T1^11*T2^5 - 
     10*T1^12*T2^5 - 24*T1^13*T2^5 + 20*T2^6 + 20*T1*T2^6 - 139*T1^2*T2^6 - 
     34*T1^3*T2^6 + 230*T1^4*T2^6 - 32*T1^5*T2^6 + 214*T1^6*T2^6 - 
     46*T1^7*T2^6 + 214*T1^8*T2^6 - 32*T1^9*T2^6 + 230*T1^10*T2^6 - 
     34*T1^11*T2^6 - 139*T1^12*T2^6 + 20*T1^13*T2^6 + 20*T1^14*T2^6 - 
     10*T2^7 - 50*T1*T2^7 + 160*T1^2*T2^7 + 9*T1^3*T2^7 - 164*T1^4*T2^7 - 
     32*T1^5*T2^7 - 46*T1^6*T2^7 - 112*T1^7*T2^7 - 112*T1^8*T2^7 - 
     46*T1^9*T2^7 - 32*T1^10*T2^7 - 164*T1^11*T2^7 + 9*T1^12*T2^7 + 
     160*T1^13*T2^7 - 50*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 - 
     30*T1^2*T2^8 - 238*T1^3*T2^8 + 344*T1^4*T2^8 - 136*T1^5*T2^8 + 
     214*T1^6*T2^8 - 112*T1^7*T2^8 + 300*T1^8*T2^8 - 112*T1^9*T2^8 + 
     214*T1^10*T2^8 - 136*T1^11*T2^8 + 344*T1^12*T2^8 - 238*T1^13*T2^8 - 
     30*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     50*T1^2*T2^9 + 160*T1^3*T2^9 + 9*T1^4*T2^9 - 164*T1^5*T2^9 - 
     32*T1^6*T2^9 - 46*T1^7*T2^9 - 112*T1^8*T2^9 - 112*T1^9*T2^9 - 
     46*T1^10*T2^9 - 32*T1^11*T2^9 - 164*T1^12*T2^9 + 9*T1^13*T2^9 + 
     160*T1^14*T2^9 - 50*T1^15*T2^9 - 10*T1^16*T2^9 + 20*T1^2*T2^10 + 
     20*T1^3*T2^10 - 139*T1^4*T2^10 - 34*T1^5*T2^10 + 230*T1^6*T2^10 - 
     32*T1^7*T2^10 + 214*T1^8*T2^10 - 46*T1^9*T2^10 + 214*T1^10*T2^10 - 
     32*T1^11*T2^10 + 230*T1^12*T2^10 - 34*T1^13*T2^10 - 139*T1^14*T2^10 + 
     20*T1^15*T2^10 + 20*T1^16*T2^10 - 24*T1^3*T2^11 - 10*T1^4*T2^11 + 
     164*T1^5*T2^11 - 34*T1^6*T2^11 - 164*T1^7*T2^11 - 136*T1^8*T2^11 - 
     32*T1^9*T2^11 - 32*T1^10*T2^11 - 136*T1^11*T2^11 - 164*T1^12*T2^11 - 
     34*T1^13*T2^11 + 164*T1^14*T2^11 - 10*T1^15*T2^11 - 24*T1^16*T2^11 + 
     26*T1^4*T2^12 - 10*T1^5*T2^12 - 139*T1^6*T2^12 + 9*T1^7*T2^12 + 
     344*T1^8*T2^12 - 164*T1^9*T2^12 + 230*T1^10*T2^12 - 164*T1^11*T2^12 + 
     344*T1^12*T2^12 + 9*T1^13*T2^12 - 139*T1^14*T2^12 - 10*T1^15*T2^12 + 
     26*T1^16*T2^12 - 24*T1^5*T2^13 + 20*T1^6*T2^13 + 160*T1^7*T2^13 - 
     238*T1^8*T2^13 + 9*T1^9*T2^13 - 34*T1^10*T2^13 - 34*T1^11*T2^13 + 
     9*T1^12*T2^13 - 238*T1^13*T2^13 + 160*T1^14*T2^13 + 20*T1^15*T2^13 - 
     24*T1^16*T2^13 + 20*T1^6*T2^14 - 50*T1^7*T2^14 - 30*T1^8*T2^14 + 
     160*T1^9*T2^14 - 139*T1^10*T2^14 + 164*T1^11*T2^14 - 139*T1^12*T2^14 + 
     160*T1^13*T2^14 - 30*T1^14*T2^14 - 50*T1^15*T2^14 + 20*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 50*T1^9*T2^15 + 20*T1^10*T2^15 - 
     10*T1^11*T2^15 - 10*T1^12*T2^15 + 20*T1^13*T2^15 - 50*T1^14*T2^15 + 
     40*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)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 763] -> 
  {-((1 - 12*T + 36*T^2 - 51*T^3 + 36*T^4 - 12*T^5 + T^6)/T^3), 
   -((2 - 3*T1 + T1^2 + T1^3 - 3*T1^4 + 2*T1^5 - 3*T2 - 12*T1*T2 + 
      20*T1^2*T2 - 2*T1^3*T2 + 20*T1^4*T2 - 12*T1^5*T2 - 3*T1^6*T2 + T2^2 + 
      20*T1*T2^2 + 36*T1^2*T2^2 - 90*T1^3*T2^2 - 90*T1^4*T2^2 + 
      36*T1^5*T2^2 + 20*T1^6*T2^2 + T1^7*T2^2 + T2^3 - 2*T1*T2^3 - 
      90*T1^2*T2^3 + 14*T1^3*T2^3 + 404*T1^4*T2^3 + 14*T1^5*T2^3 - 
      90*T1^6*T2^3 - 2*T1^7*T2^3 + T1^8*T2^3 - 3*T2^4 + 20*T1*T2^4 - 
      90*T1^2*T2^4 + 404*T1^3*T2^4 - 596*T1^4*T2^4 - 596*T1^5*T2^4 + 
      404*T1^6*T2^4 - 90*T1^7*T2^4 + 20*T1^8*T2^4 - 3*T1^9*T2^4 + 2*T2^5 - 
      12*T1*T2^5 + 36*T1^2*T2^5 + 14*T1^3*T2^5 - 596*T1^4*T2^5 + 
      1788*T1^5*T2^5 - 596*T1^6*T2^5 + 14*T1^7*T2^5 + 36*T1^8*T2^5 - 
      12*T1^9*T2^5 + 2*T1^10*T2^5 - 3*T1*T2^6 + 20*T1^2*T2^6 - 90*T1^3*T2^6 + 
      404*T1^4*T2^6 - 596*T1^5*T2^6 - 596*T1^6*T2^6 + 404*T1^7*T2^6 - 
      90*T1^8*T2^6 + 20*T1^9*T2^6 - 3*T1^10*T2^6 + T1^2*T2^7 - 2*T1^3*T2^7 - 
      90*T1^4*T2^7 + 14*T1^5*T2^7 + 404*T1^6*T2^7 + 14*T1^7*T2^7 - 
      90*T1^8*T2^7 - 2*T1^9*T2^7 + T1^10*T2^7 + T1^3*T2^8 + 20*T1^4*T2^8 + 
      36*T1^5*T2^8 - 90*T1^6*T2^8 - 90*T1^7*T2^8 + 36*T1^8*T2^8 + 
      20*T1^9*T2^8 + T1^10*T2^8 - 3*T1^4*T2^9 - 12*T1^5*T2^9 + 20*T1^6*T2^9 - 
      2*T1^7*T2^9 + 20*T1^8*T2^9 - 12*T1^9*T2^9 - 3*T1^10*T2^9 + 
      2*T1^5*T2^10 - 3*T1^6*T2^10 + T1^7*T2^10 + T1^8*T2^10 - 3*T1^9*T2^10 + 
      2*T1^10*T2^10)/(T1^5*T2^5))}, Knot[12, NonAlternating, 764] -> 
  {(3 - 5*T + 3*T^2 - T^3 + 3*T^4 - 5*T^5 + 3*T^6)/T^3, 
   (84 - 136*T1 + 77*T1^2 - 20*T1^3 + 77*T1^4 - 136*T1^5 + 84*T1^6 - 136*T2 + 
     82*T1*T2 + 98*T1^2*T2 - 92*T1^3*T2 - 92*T1^4*T2 + 98*T1^5*T2 + 
     82*T1^6*T2 - 136*T1^7*T2 + 77*T2^2 + 98*T1*T2^2 - 218*T1^2*T2^2 + 
     77*T1^3*T2^2 + 58*T1^4*T2^2 + 77*T1^5*T2^2 - 218*T1^6*T2^2 + 
     98*T1^7*T2^2 + 77*T1^8*T2^2 - 20*T2^3 - 92*T1*T2^3 + 77*T1^2*T2^3 + 
     46*T1^3*T2^3 - 53*T1^4*T2^3 - 53*T1^5*T2^3 + 46*T1^6*T2^3 + 
     77*T1^7*T2^3 - 92*T1^8*T2^3 - 20*T1^9*T2^3 + 77*T2^4 - 92*T1*T2^4 + 
     58*T1^2*T2^4 - 53*T1^3*T2^4 + 82*T1^4*T2^4 - 90*T1^5*T2^4 + 
     82*T1^6*T2^4 - 53*T1^7*T2^4 + 58*T1^8*T2^4 - 92*T1^9*T2^4 + 
     77*T1^10*T2^4 - 136*T2^5 + 98*T1*T2^5 + 77*T1^2*T2^5 - 53*T1^3*T2^5 - 
     90*T1^4*T2^5 + 56*T1^5*T2^5 + 56*T1^6*T2^5 - 90*T1^7*T2^5 - 
     53*T1^8*T2^5 + 77*T1^9*T2^5 + 98*T1^10*T2^5 - 136*T1^11*T2^5 + 84*T2^6 + 
     82*T1*T2^6 - 218*T1^2*T2^6 + 46*T1^3*T2^6 + 82*T1^4*T2^6 + 
     56*T1^5*T2^6 - 132*T1^6*T2^6 + 56*T1^7*T2^6 + 82*T1^8*T2^6 + 
     46*T1^9*T2^6 - 218*T1^10*T2^6 + 82*T1^11*T2^6 + 84*T1^12*T2^6 - 
     136*T1*T2^7 + 98*T1^2*T2^7 + 77*T1^3*T2^7 - 53*T1^4*T2^7 - 
     90*T1^5*T2^7 + 56*T1^6*T2^7 + 56*T1^7*T2^7 - 90*T1^8*T2^7 - 
     53*T1^9*T2^7 + 77*T1^10*T2^7 + 98*T1^11*T2^7 - 136*T1^12*T2^7 + 
     77*T1^2*T2^8 - 92*T1^3*T2^8 + 58*T1^4*T2^8 - 53*T1^5*T2^8 + 
     82*T1^6*T2^8 - 90*T1^7*T2^8 + 82*T1^8*T2^8 - 53*T1^9*T2^8 + 
     58*T1^10*T2^8 - 92*T1^11*T2^8 + 77*T1^12*T2^8 - 20*T1^3*T2^9 - 
     92*T1^4*T2^9 + 77*T1^5*T2^9 + 46*T1^6*T2^9 - 53*T1^7*T2^9 - 
     53*T1^8*T2^9 + 46*T1^9*T2^9 + 77*T1^10*T2^9 - 92*T1^11*T2^9 - 
     20*T1^12*T2^9 + 77*T1^4*T2^10 + 98*T1^5*T2^10 - 218*T1^6*T2^10 + 
     77*T1^7*T2^10 + 58*T1^8*T2^10 + 77*T1^9*T2^10 - 218*T1^10*T2^10 + 
     98*T1^11*T2^10 + 77*T1^12*T2^10 - 136*T1^5*T2^11 + 82*T1^6*T2^11 + 
     98*T1^7*T2^11 - 92*T1^8*T2^11 - 92*T1^9*T2^11 + 98*T1^10*T2^11 + 
     82*T1^11*T2^11 - 136*T1^12*T2^11 + 84*T1^6*T2^12 - 136*T1^7*T2^12 + 
     77*T1^8*T2^12 - 20*T1^9*T2^12 + 77*T1^10*T2^12 - 136*T1^11*T2^12 + 
     84*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 765] -> 
  {-((3 - 15*T + 31*T^2 - 39*T^3 + 31*T^4 - 15*T^5 + 3*T^6)/T^3), 
   -((57 - 279*T1 + 568*T1^2 - 713*T1^3 + 568*T1^4 - 279*T1^5 + 57*T1^6 - 
      279*T2 + 1088*T1*T2 - 1420*T1^2*T2 + 712*T1^3*T2 + 712*T1^4*T2 - 
      1420*T1^5*T2 + 1088*T1^6*T2 - 279*T1^7*T2 + 568*T2^2 - 1420*T1*T2^2 - 
      422*T1^2*T2^2 + 3752*T1^3*T2^2 - 5816*T1^4*T2^2 + 3752*T1^5*T2^2 - 
      422*T1^6*T2^2 - 1420*T1^7*T2^2 + 568*T1^8*T2^2 - 713*T2^3 + 
      712*T1*T2^3 + 3752*T1^2*T2^3 - 6304*T1^3*T2^3 + 3675*T1^4*T2^3 + 
      3675*T1^5*T2^3 - 6304*T1^6*T2^3 + 3752*T1^7*T2^3 + 712*T1^8*T2^3 - 
      713*T1^9*T2^3 + 568*T2^4 + 712*T1*T2^4 - 5816*T1^2*T2^4 + 
      3675*T1^3*T2^4 + 3435*T1^4*T2^4 - 9275*T1^5*T2^4 + 3435*T1^6*T2^4 + 
      3675*T1^7*T2^4 - 5816*T1^8*T2^4 + 712*T1^9*T2^4 + 568*T1^10*T2^4 - 
      279*T2^5 - 1420*T1*T2^5 + 3752*T1^2*T2^5 + 3675*T1^3*T2^5 - 
      9275*T1^4*T2^5 + 6434*T1^5*T2^5 + 6434*T1^6*T2^5 - 9275*T1^7*T2^5 + 
      3675*T1^8*T2^5 + 3752*T1^9*T2^5 - 1420*T1^10*T2^5 - 279*T1^11*T2^5 + 
      57*T2^6 + 1088*T1*T2^6 - 422*T1^2*T2^6 - 6304*T1^3*T2^6 + 
      3435*T1^4*T2^6 + 6434*T1^5*T2^6 - 15000*T1^6*T2^6 + 6434*T1^7*T2^6 + 
      3435*T1^8*T2^6 - 6304*T1^9*T2^6 - 422*T1^10*T2^6 + 1088*T1^11*T2^6 + 
      57*T1^12*T2^6 - 279*T1*T2^7 - 1420*T1^2*T2^7 + 3752*T1^3*T2^7 + 
      3675*T1^4*T2^7 - 9275*T1^5*T2^7 + 6434*T1^6*T2^7 + 6434*T1^7*T2^7 - 
      9275*T1^8*T2^7 + 3675*T1^9*T2^7 + 3752*T1^10*T2^7 - 1420*T1^11*T2^7 - 
      279*T1^12*T2^7 + 568*T1^2*T2^8 + 712*T1^3*T2^8 - 5816*T1^4*T2^8 + 
      3675*T1^5*T2^8 + 3435*T1^6*T2^8 - 9275*T1^7*T2^8 + 3435*T1^8*T2^8 + 
      3675*T1^9*T2^8 - 5816*T1^10*T2^8 + 712*T1^11*T2^8 + 568*T1^12*T2^8 - 
      713*T1^3*T2^9 + 712*T1^4*T2^9 + 3752*T1^5*T2^9 - 6304*T1^6*T2^9 + 
      3675*T1^7*T2^9 + 3675*T1^8*T2^9 - 6304*T1^9*T2^9 + 3752*T1^10*T2^9 + 
      712*T1^11*T2^9 - 713*T1^12*T2^9 + 568*T1^4*T2^10 - 1420*T1^5*T2^10 - 
      422*T1^6*T2^10 + 3752*T1^7*T2^10 - 5816*T1^8*T2^10 + 3752*T1^9*T2^10 - 
      422*T1^10*T2^10 - 1420*T1^11*T2^10 + 568*T1^12*T2^10 - 279*T1^5*T2^11 + 
      1088*T1^6*T2^11 - 1420*T1^7*T2^11 + 712*T1^8*T2^11 + 712*T1^9*T2^11 - 
      1420*T1^10*T2^11 + 1088*T1^11*T2^11 - 279*T1^12*T2^11 + 57*T1^6*T2^12 - 
      279*T1^7*T2^12 + 568*T1^8*T2^12 - 713*T1^9*T2^12 + 568*T1^10*T2^12 - 
      279*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 766] -> 
  {-((3 - 13*T + 21*T^2 - 23*T^3 + 21*T^4 - 13*T^5 + 3*T^6)/T^3), 
   -((57 - 245*T1 + 390*T1^2 - 425*T1^3 + 390*T1^4 - 245*T1^5 + 57*T1^6 - 
      245*T2 + 810*T1*T2 - 630*T1^2*T2 + 154*T1^3*T2 + 154*T1^4*T2 - 
      630*T1^5*T2 + 810*T1^6*T2 - 245*T1^7*T2 + 390*T2^2 - 630*T1*T2^2 - 
      1423*T1^2*T2^2 + 2620*T1^3*T2^2 - 2551*T1^4*T2^2 + 2620*T1^5*T2^2 - 
      1423*T1^6*T2^2 - 630*T1^7*T2^2 + 390*T1^8*T2^2 - 425*T2^3 + 
      154*T1*T2^3 + 2620*T1^2*T2^3 - 1842*T1^3*T2^3 + 171*T1^4*T2^3 + 
      171*T1^5*T2^3 - 1842*T1^6*T2^3 + 2620*T1^7*T2^3 + 154*T1^8*T2^3 - 
      425*T1^9*T2^3 + 390*T2^4 + 154*T1*T2^4 - 2551*T1^2*T2^4 + 
      171*T1^3*T2^4 + 1020*T1^4*T2^4 - 434*T1^5*T2^4 + 1020*T1^6*T2^4 + 
      171*T1^7*T2^4 - 2551*T1^8*T2^4 + 154*T1^9*T2^4 + 390*T1^10*T2^4 - 
      245*T2^5 - 630*T1*T2^5 + 2620*T1^2*T2^5 + 171*T1^3*T2^5 - 
      434*T1^4*T2^5 - 212*T1^5*T2^5 - 212*T1^6*T2^5 - 434*T1^7*T2^5 + 
      171*T1^8*T2^5 + 2620*T1^9*T2^5 - 630*T1^10*T2^5 - 245*T1^11*T2^5 + 
      57*T2^6 + 810*T1*T2^6 - 1423*T1^2*T2^6 - 1842*T1^3*T2^6 + 
      1020*T1^4*T2^6 - 212*T1^5*T2^6 + 480*T1^6*T2^6 - 212*T1^7*T2^6 + 
      1020*T1^8*T2^6 - 1842*T1^9*T2^6 - 1423*T1^10*T2^6 + 810*T1^11*T2^6 + 
      57*T1^12*T2^6 - 245*T1*T2^7 - 630*T1^2*T2^7 + 2620*T1^3*T2^7 + 
      171*T1^4*T2^7 - 434*T1^5*T2^7 - 212*T1^6*T2^7 - 212*T1^7*T2^7 - 
      434*T1^8*T2^7 + 171*T1^9*T2^7 + 2620*T1^10*T2^7 - 630*T1^11*T2^7 - 
      245*T1^12*T2^7 + 390*T1^2*T2^8 + 154*T1^3*T2^8 - 2551*T1^4*T2^8 + 
      171*T1^5*T2^8 + 1020*T1^6*T2^8 - 434*T1^7*T2^8 + 1020*T1^8*T2^8 + 
      171*T1^9*T2^8 - 2551*T1^10*T2^8 + 154*T1^11*T2^8 + 390*T1^12*T2^8 - 
      425*T1^3*T2^9 + 154*T1^4*T2^9 + 2620*T1^5*T2^9 - 1842*T1^6*T2^9 + 
      171*T1^7*T2^9 + 171*T1^8*T2^9 - 1842*T1^9*T2^9 + 2620*T1^10*T2^9 + 
      154*T1^11*T2^9 - 425*T1^12*T2^9 + 390*T1^4*T2^10 - 630*T1^5*T2^10 - 
      1423*T1^6*T2^10 + 2620*T1^7*T2^10 - 2551*T1^8*T2^10 + 2620*T1^9*T2^10 - 
      1423*T1^10*T2^10 - 630*T1^11*T2^10 + 390*T1^12*T2^10 - 245*T1^5*T2^11 + 
      810*T1^6*T2^11 - 630*T1^7*T2^11 + 154*T1^8*T2^11 + 154*T1^9*T2^11 - 
      630*T1^10*T2^11 + 810*T1^11*T2^11 - 245*T1^12*T2^11 + 57*T1^6*T2^12 - 
      245*T1^7*T2^12 + 390*T1^8*T2^12 - 425*T1^9*T2^12 + 390*T1^10*T2^12 - 
      245*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 767] -> 
  {-(((1 - T + T^2)*(-1 + T - 2*T^2 + T^3)*(-1 + 2*T - T^2 + T^3))/T^4), 
   (1 - 4*T1 + 9*T1^2 - 15*T1^3 + 17*T1^4 - 15*T1^5 + 9*T1^6 - 4*T1^7 + 
     T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 24*T1^3*T2 - 8*T1^4*T2 - 
     8*T1^5*T2 + 24*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 9*T2^2 - 
     20*T1*T2^2 + 27*T1^2*T2^2 - 33*T1^3*T2^2 + 4*T1^4*T2^2 - 9*T1^5*T2^2 + 
     4*T1^6*T2^2 - 33*T1^7*T2^2 + 27*T1^8*T2^2 - 20*T1^9*T2^2 + 
     9*T1^10*T2^2 - 15*T2^3 + 24*T1*T2^3 - 33*T1^2*T2^3 + 56*T1^3*T2^3 - 
     2*T1^4*T2^3 + 27*T1^5*T2^3 + 27*T1^6*T2^3 - 2*T1^7*T2^3 + 56*T1^8*T2^3 - 
     33*T1^9*T2^3 + 24*T1^10*T2^3 - 15*T1^11*T2^3 + 17*T2^4 - 8*T1*T2^4 + 
     4*T1^2*T2^4 - 2*T1^3*T2^4 - 152*T1^4*T2^4 + 119*T1^5*T2^4 - 
     240*T1^6*T2^4 + 119*T1^7*T2^4 - 152*T1^8*T2^4 - 2*T1^9*T2^4 + 
     4*T1^10*T2^4 - 8*T1^11*T2^4 + 17*T1^12*T2^4 - 15*T2^5 - 8*T1*T2^5 - 
     9*T1^2*T2^5 + 27*T1^3*T2^5 + 119*T1^4*T2^5 + 60*T1^5*T2^5 + 
     105*T1^6*T2^5 + 105*T1^7*T2^5 + 60*T1^8*T2^5 + 119*T1^9*T2^5 + 
     27*T1^10*T2^5 - 9*T1^11*T2^5 - 8*T1^12*T2^5 - 15*T1^13*T2^5 + 9*T2^6 + 
     24*T1*T2^6 + 4*T1^2*T2^6 + 27*T1^3*T2^6 - 240*T1^4*T2^6 + 
     105*T1^5*T2^6 - 508*T1^6*T2^6 + 268*T1^7*T2^6 - 508*T1^8*T2^6 + 
     105*T1^9*T2^6 - 240*T1^10*T2^6 + 27*T1^11*T2^6 + 4*T1^12*T2^6 + 
     24*T1^13*T2^6 + 9*T1^14*T2^6 - 4*T2^7 - 20*T1*T2^7 - 33*T1^2*T2^7 - 
     2*T1^3*T2^7 + 119*T1^4*T2^7 + 105*T1^5*T2^7 + 268*T1^6*T2^7 + 
     152*T1^7*T2^7 + 152*T1^8*T2^7 + 268*T1^9*T2^7 + 105*T1^10*T2^7 + 
     119*T1^11*T2^7 - 2*T1^12*T2^7 - 33*T1^13*T2^7 - 20*T1^14*T2^7 - 
     4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 27*T1^2*T2^8 + 56*T1^3*T2^8 - 
     152*T1^4*T2^8 + 60*T1^5*T2^8 - 508*T1^6*T2^8 + 152*T1^7*T2^8 - 
     576*T1^8*T2^8 + 152*T1^9*T2^8 - 508*T1^10*T2^8 + 60*T1^11*T2^8 - 
     152*T1^12*T2^8 + 56*T1^13*T2^8 + 27*T1^14*T2^8 + 12*T1^15*T2^8 + 
     T1^16*T2^8 - 4*T1*T2^9 - 20*T1^2*T2^9 - 33*T1^3*T2^9 - 2*T1^4*T2^9 + 
     119*T1^5*T2^9 + 105*T1^6*T2^9 + 268*T1^7*T2^9 + 152*T1^8*T2^9 + 
     152*T1^9*T2^9 + 268*T1^10*T2^9 + 105*T1^11*T2^9 + 119*T1^12*T2^9 - 
     2*T1^13*T2^9 - 33*T1^14*T2^9 - 20*T1^15*T2^9 - 4*T1^16*T2^9 + 
     9*T1^2*T2^10 + 24*T1^3*T2^10 + 4*T1^4*T2^10 + 27*T1^5*T2^10 - 
     240*T1^6*T2^10 + 105*T1^7*T2^10 - 508*T1^8*T2^10 + 268*T1^9*T2^10 - 
     508*T1^10*T2^10 + 105*T1^11*T2^10 - 240*T1^12*T2^10 + 27*T1^13*T2^10 + 
     4*T1^14*T2^10 + 24*T1^15*T2^10 + 9*T1^16*T2^10 - 15*T1^3*T2^11 - 
     8*T1^4*T2^11 - 9*T1^5*T2^11 + 27*T1^6*T2^11 + 119*T1^7*T2^11 + 
     60*T1^8*T2^11 + 105*T1^9*T2^11 + 105*T1^10*T2^11 + 60*T1^11*T2^11 + 
     119*T1^12*T2^11 + 27*T1^13*T2^11 - 9*T1^14*T2^11 - 8*T1^15*T2^11 - 
     15*T1^16*T2^11 + 17*T1^4*T2^12 - 8*T1^5*T2^12 + 4*T1^6*T2^12 - 
     2*T1^7*T2^12 - 152*T1^8*T2^12 + 119*T1^9*T2^12 - 240*T1^10*T2^12 + 
     119*T1^11*T2^12 - 152*T1^12*T2^12 - 2*T1^13*T2^12 + 4*T1^14*T2^12 - 
     8*T1^15*T2^12 + 17*T1^16*T2^12 - 15*T1^5*T2^13 + 24*T1^6*T2^13 - 
     33*T1^7*T2^13 + 56*T1^8*T2^13 - 2*T1^9*T2^13 + 27*T1^10*T2^13 + 
     27*T1^11*T2^13 - 2*T1^12*T2^13 + 56*T1^13*T2^13 - 33*T1^14*T2^13 + 
     24*T1^15*T2^13 - 15*T1^16*T2^13 + 9*T1^6*T2^14 - 20*T1^7*T2^14 + 
     27*T1^8*T2^14 - 33*T1^9*T2^14 + 4*T1^10*T2^14 - 9*T1^11*T2^14 + 
     4*T1^12*T2^14 - 33*T1^13*T2^14 + 27*T1^14*T2^14 - 20*T1^15*T2^14 + 
     9*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 20*T1^9*T2^15 + 
     24*T1^10*T2^15 - 8*T1^11*T2^15 - 8*T1^12*T2^15 + 24*T1^13*T2^15 - 
     20*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 
     4*T1^9*T2^16 + 9*T1^10*T2^16 - 15*T1^11*T2^16 + 17*T1^12*T2^16 - 
     15*T1^13*T2^16 + 9*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/
    (T1^8*T2^8)}, Knot[12, NonAlternating, 768] -> 
  {-(((-1 + T - 2*T^2 + T^3)*(-1 + 2*T - T^2 + T^3))/T^3), 
   (4*(1 - 4*T1 + 5*T1^2 - 4*T1^3 + T1^4 - 4*T2 + 11*T1*T2 - 3*T1^2*T2 - 
      3*T1^3*T2 + 11*T1^4*T2 - 4*T1^5*T2 + 5*T2^2 - 3*T1*T2^2 - 
      26*T1^2*T2^2 + 24*T1^3*T2^2 - 26*T1^4*T2^2 - 3*T1^5*T2^2 + 
      5*T1^6*T2^2 - 4*T2^3 - 3*T1*T2^3 + 24*T1^2*T2^3 + 4*T1^3*T2^3 + 
      4*T1^4*T2^3 + 24*T1^5*T2^3 - 3*T1^6*T2^3 - 4*T1^7*T2^3 + T2^4 + 
      11*T1*T2^4 - 26*T1^2*T2^4 + 4*T1^3*T2^4 - 30*T1^4*T2^4 + 4*T1^5*T2^4 - 
      26*T1^6*T2^4 + 11*T1^7*T2^4 + T1^8*T2^4 - 4*T1*T2^5 - 3*T1^2*T2^5 + 
      24*T1^3*T2^5 + 4*T1^4*T2^5 + 4*T1^5*T2^5 + 24*T1^6*T2^5 - 3*T1^7*T2^5 - 
      4*T1^8*T2^5 + 5*T1^2*T2^6 - 3*T1^3*T2^6 - 26*T1^4*T2^6 + 24*T1^5*T2^6 - 
      26*T1^6*T2^6 - 3*T1^7*T2^6 + 5*T1^8*T2^6 - 4*T1^3*T2^7 + 11*T1^4*T2^7 - 
      3*T1^5*T2^7 - 3*T1^6*T2^7 + 11*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))/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 769] -> 
  {(2 - 8*T + 20*T^2 - 27*T^3 + 20*T^4 - 8*T^5 + 2*T^6)/T^3, 
   -((9 - 35*T1 + 87*T1^2 - 117*T1^3 + 87*T1^4 - 35*T1^5 + 9*T1^6 - 35*T2 + 
      100*T1*T2 - 204*T1^2*T2 + 118*T1^3*T2 + 118*T1^4*T2 - 204*T1^5*T2 + 
      100*T1^6*T2 - 35*T1^7*T2 + 87*T2^2 - 204*T1*T2^2 + 488*T1^2*T2^2 - 
      335*T1^3*T2^2 + 138*T1^4*T2^2 - 335*T1^5*T2^2 + 488*T1^6*T2^2 - 
      204*T1^7*T2^2 + 87*T1^8*T2^2 - 117*T2^3 + 118*T1*T2^3 - 335*T1^2*T2^3 - 
      378*T1^3*T2^3 + 377*T1^4*T2^3 + 377*T1^5*T2^3 - 378*T1^6*T2^3 - 
      335*T1^7*T2^3 + 118*T1^8*T2^3 - 117*T1^9*T2^3 + 87*T2^4 + 118*T1*T2^4 + 
      138*T1^2*T2^4 + 377*T1^3*T2^4 + 1568*T1^4*T2^4 - 3094*T1^5*T2^4 + 
      1568*T1^6*T2^4 + 377*T1^7*T2^4 + 138*T1^8*T2^4 + 118*T1^9*T2^4 + 
      87*T1^10*T2^4 - 35*T2^5 - 204*T1*T2^5 - 335*T1^2*T2^5 + 377*T1^3*T2^5 - 
      3094*T1^4*T2^5 + 2110*T1^5*T2^5 + 2110*T1^6*T2^5 - 3094*T1^7*T2^5 + 
      377*T1^8*T2^5 - 335*T1^9*T2^5 - 204*T1^10*T2^5 - 35*T1^11*T2^5 + 
      9*T2^6 + 100*T1*T2^6 + 488*T1^2*T2^6 - 378*T1^3*T2^6 + 1568*T1^4*T2^6 + 
      2110*T1^5*T2^6 - 5040*T1^6*T2^6 + 2110*T1^7*T2^6 + 1568*T1^8*T2^6 - 
      378*T1^9*T2^6 + 488*T1^10*T2^6 + 100*T1^11*T2^6 + 9*T1^12*T2^6 - 
      35*T1*T2^7 - 204*T1^2*T2^7 - 335*T1^3*T2^7 + 377*T1^4*T2^7 - 
      3094*T1^5*T2^7 + 2110*T1^6*T2^7 + 2110*T1^7*T2^7 - 3094*T1^8*T2^7 + 
      377*T1^9*T2^7 - 335*T1^10*T2^7 - 204*T1^11*T2^7 - 35*T1^12*T2^7 + 
      87*T1^2*T2^8 + 118*T1^3*T2^8 + 138*T1^4*T2^8 + 377*T1^5*T2^8 + 
      1568*T1^6*T2^8 - 3094*T1^7*T2^8 + 1568*T1^8*T2^8 + 377*T1^9*T2^8 + 
      138*T1^10*T2^8 + 118*T1^11*T2^8 + 87*T1^12*T2^8 - 117*T1^3*T2^9 + 
      118*T1^4*T2^9 - 335*T1^5*T2^9 - 378*T1^6*T2^9 + 377*T1^7*T2^9 + 
      377*T1^8*T2^9 - 378*T1^9*T2^9 - 335*T1^10*T2^9 + 118*T1^11*T2^9 - 
      117*T1^12*T2^9 + 87*T1^4*T2^10 - 204*T1^5*T2^10 + 488*T1^6*T2^10 - 
      335*T1^7*T2^10 + 138*T1^8*T2^10 - 335*T1^9*T2^10 + 488*T1^10*T2^10 - 
      204*T1^11*T2^10 + 87*T1^12*T2^10 - 35*T1^5*T2^11 + 100*T1^6*T2^11 - 
      204*T1^7*T2^11 + 118*T1^8*T2^11 + 118*T1^9*T2^11 - 204*T1^10*T2^11 + 
      100*T1^11*T2^11 - 35*T1^12*T2^11 + 9*T1^6*T2^12 - 35*T1^7*T2^12 + 
      87*T1^8*T2^12 - 117*T1^9*T2^12 + 87*T1^10*T2^12 - 35*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 770] -> 
  {-(((1 - T + T^2)*(3 - 13*T + 19*T^2 - 13*T^3 + 3*T^4))/T^3), 
   -((57 - 302*T1 + 655*T1^2 - 841*T1^3 + 655*T1^4 - 302*T1^5 + 57*T1^6 - 
      302*T2 + 1300*T1*T2 - 1865*T1^2*T2 + 983*T1^3*T2 + 983*T1^4*T2 - 
      1865*T1^5*T2 + 1300*T1^6*T2 - 302*T1^7*T2 + 655*T2^2 - 1865*T1*T2^2 - 
      361*T1^2*T2^2 + 5365*T1^3*T2^2 - 8695*T1^4*T2^2 + 5365*T1^5*T2^2 - 
      361*T1^6*T2^2 - 1865*T1^7*T2^2 + 655*T1^8*T2^2 - 841*T2^3 + 
      983*T1*T2^3 + 5365*T1^2*T2^3 - 10134*T1^3*T2^3 + 6226*T1^4*T2^3 + 
      6226*T1^5*T2^3 - 10134*T1^6*T2^3 + 5365*T1^7*T2^3 + 983*T1^8*T2^3 - 
      841*T1^9*T2^3 + 655*T2^4 + 983*T1*T2^4 - 8695*T1^2*T2^4 + 
      6226*T1^3*T2^4 + 5840*T1^4*T2^4 - 16428*T1^5*T2^4 + 5840*T1^6*T2^4 + 
      6226*T1^7*T2^4 - 8695*T1^8*T2^4 + 983*T1^9*T2^4 + 655*T1^10*T2^4 - 
      302*T2^5 - 1865*T1*T2^5 + 5365*T1^2*T2^5 + 6226*T1^3*T2^5 - 
      16428*T1^4*T2^5 + 11766*T1^5*T2^5 + 11766*T1^6*T2^5 - 16428*T1^7*T2^5 + 
      6226*T1^8*T2^5 + 5365*T1^9*T2^5 - 1865*T1^10*T2^5 - 302*T1^11*T2^5 + 
      57*T2^6 + 1300*T1*T2^6 - 361*T1^2*T2^6 - 10134*T1^3*T2^6 + 
      5840*T1^4*T2^6 + 11766*T1^5*T2^6 - 27768*T1^6*T2^6 + 11766*T1^7*T2^6 + 
      5840*T1^8*T2^6 - 10134*T1^9*T2^6 - 361*T1^10*T2^6 + 1300*T1^11*T2^6 + 
      57*T1^12*T2^6 - 302*T1*T2^7 - 1865*T1^2*T2^7 + 5365*T1^3*T2^7 + 
      6226*T1^4*T2^7 - 16428*T1^5*T2^7 + 11766*T1^6*T2^7 + 11766*T1^7*T2^7 - 
      16428*T1^8*T2^7 + 6226*T1^9*T2^7 + 5365*T1^10*T2^7 - 1865*T1^11*T2^7 - 
      302*T1^12*T2^7 + 655*T1^2*T2^8 + 983*T1^3*T2^8 - 8695*T1^4*T2^8 + 
      6226*T1^5*T2^8 + 5840*T1^6*T2^8 - 16428*T1^7*T2^8 + 5840*T1^8*T2^8 + 
      6226*T1^9*T2^8 - 8695*T1^10*T2^8 + 983*T1^11*T2^8 + 655*T1^12*T2^8 - 
      841*T1^3*T2^9 + 983*T1^4*T2^9 + 5365*T1^5*T2^9 - 10134*T1^6*T2^9 + 
      6226*T1^7*T2^9 + 6226*T1^8*T2^9 - 10134*T1^9*T2^9 + 5365*T1^10*T2^9 + 
      983*T1^11*T2^9 - 841*T1^12*T2^9 + 655*T1^4*T2^10 - 1865*T1^5*T2^10 - 
      361*T1^6*T2^10 + 5365*T1^7*T2^10 - 8695*T1^8*T2^10 + 5365*T1^9*T2^10 - 
      361*T1^10*T2^10 - 1865*T1^11*T2^10 + 655*T1^12*T2^10 - 302*T1^5*T2^11 + 
      1300*T1^6*T2^11 - 1865*T1^7*T2^11 + 983*T1^8*T2^11 + 983*T1^9*T2^11 - 
      1865*T1^10*T2^11 + 1300*T1^11*T2^11 - 302*T1^12*T2^11 + 57*T1^6*T2^12 - 
      302*T1^7*T2^12 + 655*T1^8*T2^12 - 841*T1^9*T2^12 + 655*T1^10*T2^12 - 
      302*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 771] -> 
  {(2 - 10*T + 24*T^2 - 31*T^3 + 24*T^4 - 10*T^5 + 2*T^6)/T^3, 
   -((9 - 44*T1 + 105*T1^2 - 135*T1^3 + 105*T1^4 - 44*T1^5 + 9*T1^6 - 44*T2 + 
      170*T1*T2 - 297*T1^2*T2 + 145*T1^3*T2 + 145*T1^4*T2 - 297*T1^5*T2 + 
      170*T1^6*T2 - 44*T1^7*T2 + 105*T2^2 - 297*T1*T2^2 + 337*T1^2*T2^2 + 
      278*T1^3*T2^2 - 565*T1^4*T2^2 + 278*T1^5*T2^2 + 337*T1^6*T2^2 - 
      297*T1^7*T2^2 + 105*T1^8*T2^2 - 135*T2^3 + 145*T1*T2^3 + 
      278*T1^2*T2^3 - 1394*T1^3*T2^3 + 638*T1^4*T2^3 + 638*T1^5*T2^3 - 
      1394*T1^6*T2^3 + 278*T1^7*T2^3 + 145*T1^8*T2^3 - 135*T1^9*T2^3 + 
      105*T2^4 + 145*T1*T2^4 - 565*T1^2*T2^4 + 638*T1^3*T2^4 + 
      2652*T1^4*T2^4 - 3852*T1^5*T2^4 + 2652*T1^6*T2^4 + 638*T1^7*T2^4 - 
      565*T1^8*T2^4 + 145*T1^9*T2^4 + 105*T1^10*T2^4 - 44*T2^5 - 
      297*T1*T2^5 + 278*T1^2*T2^5 + 638*T1^3*T2^5 - 3852*T1^4*T2^5 + 
      1608*T1^5*T2^5 + 1608*T1^6*T2^5 - 3852*T1^7*T2^5 + 638*T1^8*T2^5 + 
      278*T1^9*T2^5 - 297*T1^10*T2^5 - 44*T1^11*T2^5 + 9*T2^6 + 170*T1*T2^6 + 
      337*T1^2*T2^6 - 1394*T1^3*T2^6 + 2652*T1^4*T2^6 + 1608*T1^5*T2^6 - 
      2880*T1^6*T2^6 + 1608*T1^7*T2^6 + 2652*T1^8*T2^6 - 1394*T1^9*T2^6 + 
      337*T1^10*T2^6 + 170*T1^11*T2^6 + 9*T1^12*T2^6 - 44*T1*T2^7 - 
      297*T1^2*T2^7 + 278*T1^3*T2^7 + 638*T1^4*T2^7 - 3852*T1^5*T2^7 + 
      1608*T1^6*T2^7 + 1608*T1^7*T2^7 - 3852*T1^8*T2^7 + 638*T1^9*T2^7 + 
      278*T1^10*T2^7 - 297*T1^11*T2^7 - 44*T1^12*T2^7 + 105*T1^2*T2^8 + 
      145*T1^3*T2^8 - 565*T1^4*T2^8 + 638*T1^5*T2^8 + 2652*T1^6*T2^8 - 
      3852*T1^7*T2^8 + 2652*T1^8*T2^8 + 638*T1^9*T2^8 - 565*T1^10*T2^8 + 
      145*T1^11*T2^8 + 105*T1^12*T2^8 - 135*T1^3*T2^9 + 145*T1^4*T2^9 + 
      278*T1^5*T2^9 - 1394*T1^6*T2^9 + 638*T1^7*T2^9 + 638*T1^8*T2^9 - 
      1394*T1^9*T2^9 + 278*T1^10*T2^9 + 145*T1^11*T2^9 - 135*T1^12*T2^9 + 
      105*T1^4*T2^10 - 297*T1^5*T2^10 + 337*T1^6*T2^10 + 278*T1^7*T2^10 - 
      565*T1^8*T2^10 + 278*T1^9*T2^10 + 337*T1^10*T2^10 - 297*T1^11*T2^10 + 
      105*T1^12*T2^10 - 44*T1^5*T2^11 + 170*T1^6*T2^11 - 297*T1^7*T2^11 + 
      145*T1^8*T2^11 + 145*T1^9*T2^11 - 297*T1^10*T2^11 + 170*T1^11*T2^11 - 
      44*T1^12*T2^11 + 9*T1^6*T2^12 - 44*T1^7*T2^12 + 105*T1^8*T2^12 - 
      135*T1^9*T2^12 + 105*T1^10*T2^12 - 44*T1^11*T2^12 + 9*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, NonAlternating, 772] -> 
  {(3 - 13*T + 29*T^2 - 37*T^3 + 29*T^4 - 13*T^5 + 3*T^6)/T^3, 
   (30 - 129*T1 + 284*T1^2 - 360*T1^3 + 284*T1^4 - 129*T1^5 + 30*T1^6 - 
     129*T2 + 426*T1*T2 - 671*T1^2*T2 + 330*T1^3*T2 + 330*T1^4*T2 - 
     671*T1^5*T2 + 426*T1^6*T2 - 129*T1^7*T2 + 284*T2^2 - 671*T1*T2^2 + 
     582*T1^2*T2^2 + 705*T1^3*T2^2 - 1426*T1^4*T2^2 + 705*T1^5*T2^2 + 
     582*T1^6*T2^2 - 671*T1^7*T2^2 + 284*T1^8*T2^2 - 360*T2^3 + 330*T1*T2^3 + 
     705*T1^2*T2^3 - 2586*T1^3*T2^3 + 1411*T1^4*T2^3 + 1411*T1^5*T2^3 - 
     2586*T1^6*T2^3 + 705*T1^7*T2^3 + 330*T1^8*T2^3 - 360*T1^9*T2^3 + 
     284*T2^4 + 330*T1*T2^4 - 1426*T1^2*T2^4 + 1411*T1^3*T2^4 + 
     3301*T1^4*T2^4 - 5903*T1^5*T2^4 + 3301*T1^6*T2^4 + 1411*T1^7*T2^4 - 
     1426*T1^8*T2^4 + 330*T1^9*T2^4 + 284*T1^10*T2^4 - 129*T2^5 - 
     671*T1*T2^5 + 705*T1^2*T2^5 + 1411*T1^3*T2^5 - 5903*T1^4*T2^5 + 
     3226*T1^5*T2^5 + 3226*T1^6*T2^5 - 5903*T1^7*T2^5 + 1411*T1^8*T2^5 + 
     705*T1^9*T2^5 - 671*T1^10*T2^5 - 129*T1^11*T2^5 + 30*T2^6 + 
     426*T1*T2^6 + 582*T1^2*T2^6 - 2586*T1^3*T2^6 + 3301*T1^4*T2^6 + 
     3226*T1^5*T2^6 - 6900*T1^6*T2^6 + 3226*T1^7*T2^6 + 3301*T1^8*T2^6 - 
     2586*T1^9*T2^6 + 582*T1^10*T2^6 + 426*T1^11*T2^6 + 30*T1^12*T2^6 - 
     129*T1*T2^7 - 671*T1^2*T2^7 + 705*T1^3*T2^7 + 1411*T1^4*T2^7 - 
     5903*T1^5*T2^7 + 3226*T1^6*T2^7 + 3226*T1^7*T2^7 - 5903*T1^8*T2^7 + 
     1411*T1^9*T2^7 + 705*T1^10*T2^7 - 671*T1^11*T2^7 - 129*T1^12*T2^7 + 
     284*T1^2*T2^8 + 330*T1^3*T2^8 - 1426*T1^4*T2^8 + 1411*T1^5*T2^8 + 
     3301*T1^6*T2^8 - 5903*T1^7*T2^8 + 3301*T1^8*T2^8 + 1411*T1^9*T2^8 - 
     1426*T1^10*T2^8 + 330*T1^11*T2^8 + 284*T1^12*T2^8 - 360*T1^3*T2^9 + 
     330*T1^4*T2^9 + 705*T1^5*T2^9 - 2586*T1^6*T2^9 + 1411*T1^7*T2^9 + 
     1411*T1^8*T2^9 - 2586*T1^9*T2^9 + 705*T1^10*T2^9 + 330*T1^11*T2^9 - 
     360*T1^12*T2^9 + 284*T1^4*T2^10 - 671*T1^5*T2^10 + 582*T1^6*T2^10 + 
     705*T1^7*T2^10 - 1426*T1^8*T2^10 + 705*T1^9*T2^10 + 582*T1^10*T2^10 - 
     671*T1^11*T2^10 + 284*T1^12*T2^10 - 129*T1^5*T2^11 + 426*T1^6*T2^11 - 
     671*T1^7*T2^11 + 330*T1^8*T2^11 + 330*T1^9*T2^11 - 671*T1^10*T2^11 + 
     426*T1^11*T2^11 - 129*T1^12*T2^11 + 30*T1^6*T2^12 - 129*T1^7*T2^12 + 
     284*T1^8*T2^12 - 360*T1^9*T2^12 + 284*T1^10*T2^12 - 129*T1^11*T2^12 + 
     30*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 773] -> 
  {-((3 - 11*T + 19*T^2 - 23*T^3 + 19*T^4 - 11*T^5 + 3*T^6)/T^3), 
   (57 - 204*T1 + 346*T1^2 - 417*T1^3 + 346*T1^4 - 204*T1^5 + 57*T1^6 - 
     204*T2 + 526*T1*T2 - 509*T1^2*T2 + 254*T1^3*T2 + 254*T1^4*T2 - 
     509*T1^5*T2 + 526*T1^6*T2 - 204*T1^7*T2 + 346*T2^2 - 509*T1*T2^2 - 
     200*T1^2*T2^2 + 789*T1^3*T2^2 - 1296*T1^4*T2^2 + 789*T1^5*T2^2 - 
     200*T1^6*T2^2 - 509*T1^7*T2^2 + 346*T1^8*T2^2 - 417*T2^3 + 254*T1*T2^3 + 
     789*T1^2*T2^3 - 750*T1^3*T2^3 + 609*T1^4*T2^3 + 609*T1^5*T2^3 - 
     750*T1^6*T2^3 + 789*T1^7*T2^3 + 254*T1^8*T2^3 - 417*T1^9*T2^3 + 
     346*T2^4 + 254*T1*T2^4 - 1296*T1^2*T2^4 + 609*T1^3*T2^4 - 
     525*T1^4*T2^4 - 371*T1^5*T2^4 - 525*T1^6*T2^4 + 609*T1^7*T2^4 - 
     1296*T1^8*T2^4 + 254*T1^9*T2^4 + 346*T1^10*T2^4 - 204*T2^5 - 
     509*T1*T2^5 + 789*T1^2*T2^5 + 609*T1^3*T2^5 - 371*T1^4*T2^5 + 
     736*T1^5*T2^5 + 736*T1^6*T2^5 - 371*T1^7*T2^5 + 609*T1^8*T2^5 + 
     789*T1^9*T2^5 - 509*T1^10*T2^5 - 204*T1^11*T2^5 + 57*T2^6 + 
     526*T1*T2^6 - 200*T1^2*T2^6 - 750*T1^3*T2^6 - 525*T1^4*T2^6 + 
     736*T1^5*T2^6 - 1980*T1^6*T2^6 + 736*T1^7*T2^6 - 525*T1^8*T2^6 - 
     750*T1^9*T2^6 - 200*T1^10*T2^6 + 526*T1^11*T2^6 + 57*T1^12*T2^6 - 
     204*T1*T2^7 - 509*T1^2*T2^7 + 789*T1^3*T2^7 + 609*T1^4*T2^7 - 
     371*T1^5*T2^7 + 736*T1^6*T2^7 + 736*T1^7*T2^7 - 371*T1^8*T2^7 + 
     609*T1^9*T2^7 + 789*T1^10*T2^7 - 509*T1^11*T2^7 - 204*T1^12*T2^7 + 
     346*T1^2*T2^8 + 254*T1^3*T2^8 - 1296*T1^4*T2^8 + 609*T1^5*T2^8 - 
     525*T1^6*T2^8 - 371*T1^7*T2^8 - 525*T1^8*T2^8 + 609*T1^9*T2^8 - 
     1296*T1^10*T2^8 + 254*T1^11*T2^8 + 346*T1^12*T2^8 - 417*T1^3*T2^9 + 
     254*T1^4*T2^9 + 789*T1^5*T2^9 - 750*T1^6*T2^9 + 609*T1^7*T2^9 + 
     609*T1^8*T2^9 - 750*T1^9*T2^9 + 789*T1^10*T2^9 + 254*T1^11*T2^9 - 
     417*T1^12*T2^9 + 346*T1^4*T2^10 - 509*T1^5*T2^10 - 200*T1^6*T2^10 + 
     789*T1^7*T2^10 - 1296*T1^8*T2^10 + 789*T1^9*T2^10 - 200*T1^10*T2^10 - 
     509*T1^11*T2^10 + 346*T1^12*T2^10 - 204*T1^5*T2^11 + 526*T1^6*T2^11 - 
     509*T1^7*T2^11 + 254*T1^8*T2^11 + 254*T1^9*T2^11 - 509*T1^10*T2^11 + 
     526*T1^11*T2^11 - 204*T1^12*T2^11 + 57*T1^6*T2^12 - 204*T1^7*T2^12 + 
     346*T1^8*T2^12 - 417*T1^9*T2^12 + 346*T1^10*T2^12 - 204*T1^11*T2^12 + 
     57*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 774] -> 
  {-(((1 - T + T^2)*(4 - 9*T + 4*T^2))/T^2), 
   (88 - 277*T1 + 354*T1^2 - 277*T1^3 + 88*T1^4 - 277*T2 + 592*T1*T2 - 
     239*T1^2*T2 - 239*T1^3*T2 + 592*T1^4*T2 - 277*T1^5*T2 + 354*T2^2 - 
     239*T1*T2^2 - 991*T1^2*T2^2 + 1335*T1^3*T2^2 - 991*T1^4*T2^2 - 
     239*T1^5*T2^2 + 354*T1^6*T2^2 - 277*T2^3 - 239*T1*T2^3 + 
     1335*T1^2*T2^3 - 470*T1^3*T2^3 - 470*T1^4*T2^3 + 1335*T1^5*T2^3 - 
     239*T1^6*T2^3 - 277*T1^7*T2^3 + 88*T2^4 + 592*T1*T2^4 - 991*T1^2*T2^4 - 
     470*T1^3*T2^4 + 744*T1^4*T2^4 - 470*T1^5*T2^4 - 991*T1^6*T2^4 + 
     592*T1^7*T2^4 + 88*T1^8*T2^4 - 277*T1*T2^5 - 239*T1^2*T2^5 + 
     1335*T1^3*T2^5 - 470*T1^4*T2^5 - 470*T1^5*T2^5 + 1335*T1^6*T2^5 - 
     239*T1^7*T2^5 - 277*T1^8*T2^5 + 354*T1^2*T2^6 - 239*T1^3*T2^6 - 
     991*T1^4*T2^6 + 1335*T1^5*T2^6 - 991*T1^6*T2^6 - 239*T1^7*T2^6 + 
     354*T1^8*T2^6 - 277*T1^3*T2^7 + 592*T1^4*T2^7 - 239*T1^5*T2^7 - 
     239*T1^6*T2^7 + 592*T1^7*T2^7 - 277*T1^8*T2^7 + 88*T1^4*T2^8 - 
     277*T1^5*T2^8 + 354*T1^6*T2^8 - 277*T1^7*T2^8 + 88*T1^8*T2^8)/
    (T1^4*T2^4)}, 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), -((1 - 6*T1 + 17*T1^2 - 27*T1^3 + 29*T1^4 - 27*T1^5 + 17*T1^6 - 
      6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 66*T1^2*T2 + 60*T1^3*T2 - 
      12*T1^4*T2 - 12*T1^5*T2 + 60*T1^6*T2 - 66*T1^7*T2 + 30*T1^8*T2 - 
      6*T1^9*T2 + 17*T2^2 - 66*T1*T2^2 + 88*T1^2*T2^2 + 57*T1^3*T2^2 - 
      205*T1^4*T2^2 + 152*T1^5*T2^2 - 205*T1^6*T2^2 + 57*T1^7*T2^2 + 
      88*T1^8*T2^2 - 66*T1^9*T2^2 + 17*T1^10*T2^2 - 27*T2^3 + 60*T1*T2^3 + 
      57*T1^2*T2^3 - 422*T1^3*T2^3 + 409*T1^4*T2^3 + 32*T1^5*T2^3 + 
      32*T1^6*T2^3 + 409*T1^7*T2^3 - 422*T1^8*T2^3 + 57*T1^9*T2^3 + 
      60*T1^10*T2^3 - 27*T1^11*T2^3 + 29*T2^4 - 12*T1*T2^4 - 205*T1^2*T2^4 + 
      409*T1^3*T2^4 + 352*T1^4*T2^4 - 1140*T1^5*T2^4 + 658*T1^6*T2^4 - 
      1140*T1^7*T2^4 + 352*T1^8*T2^4 + 409*T1^9*T2^4 - 205*T1^10*T2^4 - 
      12*T1^11*T2^4 + 29*T1^12*T2^4 - 27*T2^5 - 12*T1*T2^5 + 152*T1^2*T2^5 + 
      32*T1^3*T2^5 - 1140*T1^4*T2^5 + 1250*T1^5*T2^5 + 103*T1^6*T2^5 + 
      103*T1^7*T2^5 + 1250*T1^8*T2^5 - 1140*T1^9*T2^5 + 32*T1^10*T2^5 + 
      152*T1^11*T2^5 - 12*T1^12*T2^5 - 27*T1^13*T2^5 + 17*T2^6 + 60*T1*T2^6 - 
      205*T1^2*T2^6 + 32*T1^3*T2^6 + 658*T1^4*T2^6 + 103*T1^5*T2^6 - 
      1948*T1^6*T2^6 + 1804*T1^7*T2^6 - 1948*T1^8*T2^6 + 103*T1^9*T2^6 + 
      658*T1^10*T2^6 + 32*T1^11*T2^6 - 205*T1^12*T2^6 + 60*T1^13*T2^6 + 
      17*T1^14*T2^6 - 6*T2^7 - 66*T1*T2^7 + 57*T1^2*T2^7 + 409*T1^3*T2^7 - 
      1140*T1^4*T2^7 + 103*T1^5*T2^7 + 1804*T1^6*T2^7 - 848*T1^7*T2^7 - 
      848*T1^8*T2^7 + 1804*T1^9*T2^7 + 103*T1^10*T2^7 - 1140*T1^11*T2^7 + 
      409*T1^12*T2^7 + 57*T1^13*T2^7 - 66*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 
      30*T1*T2^8 + 88*T1^2*T2^8 - 422*T1^3*T2^8 + 352*T1^4*T2^8 + 
      1250*T1^5*T2^8 - 1948*T1^6*T2^8 - 848*T1^7*T2^8 + 2460*T1^8*T2^8 - 
      848*T1^9*T2^8 - 1948*T1^10*T2^8 + 1250*T1^11*T2^8 + 352*T1^12*T2^8 - 
      422*T1^13*T2^8 + 88*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 
      6*T1*T2^9 - 66*T1^2*T2^9 + 57*T1^3*T2^9 + 409*T1^4*T2^9 - 
      1140*T1^5*T2^9 + 103*T1^6*T2^9 + 1804*T1^7*T2^9 - 848*T1^8*T2^9 - 
      848*T1^9*T2^9 + 1804*T1^10*T2^9 + 103*T1^11*T2^9 - 1140*T1^12*T2^9 + 
      409*T1^13*T2^9 + 57*T1^14*T2^9 - 66*T1^15*T2^9 - 6*T1^16*T2^9 + 
      17*T1^2*T2^10 + 60*T1^3*T2^10 - 205*T1^4*T2^10 + 32*T1^5*T2^10 + 
      658*T1^6*T2^10 + 103*T1^7*T2^10 - 1948*T1^8*T2^10 + 1804*T1^9*T2^10 - 
      1948*T1^10*T2^10 + 103*T1^11*T2^10 + 658*T1^12*T2^10 + 32*T1^13*T2^10 - 
      205*T1^14*T2^10 + 60*T1^15*T2^10 + 17*T1^16*T2^10 - 27*T1^3*T2^11 - 
      12*T1^4*T2^11 + 152*T1^5*T2^11 + 32*T1^6*T2^11 - 1140*T1^7*T2^11 + 
      1250*T1^8*T2^11 + 103*T1^9*T2^11 + 103*T1^10*T2^11 + 1250*T1^11*T2^11 - 
      1140*T1^12*T2^11 + 32*T1^13*T2^11 + 152*T1^14*T2^11 - 12*T1^15*T2^11 - 
      27*T1^16*T2^11 + 29*T1^4*T2^12 - 12*T1^5*T2^12 - 205*T1^6*T2^12 + 
      409*T1^7*T2^12 + 352*T1^8*T2^12 - 1140*T1^9*T2^12 + 658*T1^10*T2^12 - 
      1140*T1^11*T2^12 + 352*T1^12*T2^12 + 409*T1^13*T2^12 - 
      205*T1^14*T2^12 - 12*T1^15*T2^12 + 29*T1^16*T2^12 - 27*T1^5*T2^13 + 
      60*T1^6*T2^13 + 57*T1^7*T2^13 - 422*T1^8*T2^13 + 409*T1^9*T2^13 + 
      32*T1^10*T2^13 + 32*T1^11*T2^13 + 409*T1^12*T2^13 - 422*T1^13*T2^13 + 
      57*T1^14*T2^13 + 60*T1^15*T2^13 - 27*T1^16*T2^13 + 17*T1^6*T2^14 - 
      66*T1^7*T2^14 + 88*T1^8*T2^14 + 57*T1^9*T2^14 - 205*T1^10*T2^14 + 
      152*T1^11*T2^14 - 205*T1^12*T2^14 + 57*T1^13*T2^14 + 88*T1^14*T2^14 - 
      66*T1^15*T2^14 + 17*T1^16*T2^14 - 6*T1^7*T2^15 + 30*T1^8*T2^15 - 
      66*T1^9*T2^15 + 60*T1^10*T2^15 - 12*T1^11*T2^15 - 12*T1^12*T2^15 + 
      60*T1^13*T2^15 - 66*T1^14*T2^15 + 30*T1^15*T2^15 - 6*T1^16*T2^15 + 
      T1^8*T2^16 - 6*T1^9*T2^16 + 17*T1^10*T2^16 - 27*T1^11*T2^16 + 
      29*T1^12*T2^16 - 27*T1^13*T2^16 + 17*T1^14*T2^16 - 6*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, 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), -((1 - 6*T1 + 15*T1^2 - 21*T1^3 + 21*T1^4 - 21*T1^5 + 15*T1^6 - 
      6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 54*T1^2*T2 + 36*T1^3*T2 + 
      36*T1^6*T2 - 54*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 15*T2^2 - 
      54*T1*T2^2 + 24*T1^2*T2^2 + 134*T1^3*T2^2 - 213*T1^4*T2^2 + 
      124*T1^5*T2^2 - 213*T1^6*T2^2 + 134*T1^7*T2^2 + 24*T1^8*T2^2 - 
      54*T1^9*T2^2 + 15*T1^10*T2^2 - 21*T2^3 + 36*T1*T2^3 + 134*T1^2*T2^3 - 
      382*T1^3*T2^3 + 212*T1^4*T2^3 + 121*T1^5*T2^3 + 121*T1^6*T2^3 + 
      212*T1^7*T2^3 - 382*T1^8*T2^3 + 134*T1^9*T2^3 + 36*T1^10*T2^3 - 
      21*T1^11*T2^3 + 21*T2^4 - 213*T1^2*T2^4 + 212*T1^3*T2^4 + 
      443*T1^4*T2^4 - 743*T1^5*T2^4 + 157*T1^6*T2^4 - 743*T1^7*T2^4 + 
      443*T1^8*T2^4 + 212*T1^9*T2^4 - 213*T1^10*T2^4 + 21*T1^12*T2^4 - 
      21*T2^5 + 124*T1^2*T2^5 + 121*T1^3*T2^5 - 743*T1^4*T2^5 + 
      496*T1^5*T2^5 + 294*T1^6*T2^5 + 294*T1^7*T2^5 + 496*T1^8*T2^5 - 
      743*T1^9*T2^5 + 121*T1^10*T2^5 + 124*T1^11*T2^5 - 21*T1^13*T2^5 + 
      15*T2^6 + 36*T1*T2^6 - 213*T1^2*T2^6 + 121*T1^3*T2^6 + 157*T1^4*T2^6 + 
      294*T1^5*T2^6 - 1087*T1^6*T2^6 + 863*T1^7*T2^6 - 1087*T1^8*T2^6 + 
      294*T1^9*T2^6 + 157*T1^10*T2^6 + 121*T1^11*T2^6 - 213*T1^12*T2^6 + 
      36*T1^13*T2^6 + 15*T1^14*T2^6 - 6*T2^7 - 54*T1*T2^7 + 134*T1^2*T2^7 + 
      212*T1^3*T2^7 - 743*T1^4*T2^7 + 294*T1^5*T2^7 + 863*T1^6*T2^7 - 
      542*T1^7*T2^7 - 542*T1^8*T2^7 + 863*T1^9*T2^7 + 294*T1^10*T2^7 - 
      743*T1^11*T2^7 + 212*T1^12*T2^7 + 134*T1^13*T2^7 - 54*T1^14*T2^7 - 
      6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 24*T1^2*T2^8 - 382*T1^3*T2^8 + 
      443*T1^4*T2^8 + 496*T1^5*T2^8 - 1087*T1^6*T2^8 - 542*T1^7*T2^8 + 
      1812*T1^8*T2^8 - 542*T1^9*T2^8 - 1087*T1^10*T2^8 + 496*T1^11*T2^8 + 
      443*T1^12*T2^8 - 382*T1^13*T2^8 + 24*T1^14*T2^8 + 30*T1^15*T2^8 + 
      T1^16*T2^8 - 6*T1*T2^9 - 54*T1^2*T2^9 + 134*T1^3*T2^9 + 212*T1^4*T2^9 - 
      743*T1^5*T2^9 + 294*T1^6*T2^9 + 863*T1^7*T2^9 - 542*T1^8*T2^9 - 
      542*T1^9*T2^9 + 863*T1^10*T2^9 + 294*T1^11*T2^9 - 743*T1^12*T2^9 + 
      212*T1^13*T2^9 + 134*T1^14*T2^9 - 54*T1^15*T2^9 - 6*T1^16*T2^9 + 
      15*T1^2*T2^10 + 36*T1^3*T2^10 - 213*T1^4*T2^10 + 121*T1^5*T2^10 + 
      157*T1^6*T2^10 + 294*T1^7*T2^10 - 1087*T1^8*T2^10 + 863*T1^9*T2^10 - 
      1087*T1^10*T2^10 + 294*T1^11*T2^10 + 157*T1^12*T2^10 + 
      121*T1^13*T2^10 - 213*T1^14*T2^10 + 36*T1^15*T2^10 + 15*T1^16*T2^10 - 
      21*T1^3*T2^11 + 124*T1^5*T2^11 + 121*T1^6*T2^11 - 743*T1^7*T2^11 + 
      496*T1^8*T2^11 + 294*T1^9*T2^11 + 294*T1^10*T2^11 + 496*T1^11*T2^11 - 
      743*T1^12*T2^11 + 121*T1^13*T2^11 + 124*T1^14*T2^11 - 21*T1^16*T2^11 + 
      21*T1^4*T2^12 - 213*T1^6*T2^12 + 212*T1^7*T2^12 + 443*T1^8*T2^12 - 
      743*T1^9*T2^12 + 157*T1^10*T2^12 - 743*T1^11*T2^12 + 443*T1^12*T2^12 + 
      212*T1^13*T2^12 - 213*T1^14*T2^12 + 21*T1^16*T2^12 - 21*T1^5*T2^13 + 
      36*T1^6*T2^13 + 134*T1^7*T2^13 - 382*T1^8*T2^13 + 212*T1^9*T2^13 + 
      121*T1^10*T2^13 + 121*T1^11*T2^13 + 212*T1^12*T2^13 - 382*T1^13*T2^13 + 
      134*T1^14*T2^13 + 36*T1^15*T2^13 - 21*T1^16*T2^13 + 15*T1^6*T2^14 - 
      54*T1^7*T2^14 + 24*T1^8*T2^14 + 134*T1^9*T2^14 - 213*T1^10*T2^14 + 
      124*T1^11*T2^14 - 213*T1^12*T2^14 + 134*T1^13*T2^14 + 24*T1^14*T2^14 - 
      54*T1^15*T2^14 + 15*T1^16*T2^14 - 6*T1^7*T2^15 + 30*T1^8*T2^15 - 
      54*T1^9*T2^15 + 36*T1^10*T2^15 + 36*T1^13*T2^15 - 54*T1^14*T2^15 + 
      30*T1^15*T2^15 - 6*T1^16*T2^15 + T1^8*T2^16 - 6*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 - 6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 777] -> 
  {-((2 - 8*T + 14*T^2 - 17*T^3 + 14*T^4 - 8*T^5 + 2*T^6)/T^3), 
   (1 - 3*T1 + 5*T1^2 - 7*T1^3 + 5*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 4*T1*T2 + 
     4*T1^3*T2 + 4*T1^4*T2 + 4*T1^6*T2 - 3*T1^7*T2 + 5*T2^2 - 6*T1^2*T2^2 - 
     48*T1^3*T2^2 + 44*T1^4*T2^2 - 48*T1^5*T2^2 - 6*T1^6*T2^2 + 5*T1^8*T2^2 - 
     7*T2^3 + 4*T1*T2^3 - 48*T1^2*T2^3 + 222*T1^3*T2^3 - 72*T1^4*T2^3 - 
     72*T1^5*T2^3 + 222*T1^6*T2^3 - 48*T1^7*T2^3 + 4*T1^8*T2^3 - 
     7*T1^9*T2^3 + 5*T2^4 + 4*T1*T2^4 + 44*T1^2*T2^4 - 72*T1^3*T2^4 - 
     653*T1^4*T2^4 + 853*T1^5*T2^4 - 653*T1^6*T2^4 - 72*T1^7*T2^4 + 
     44*T1^8*T2^4 + 4*T1^9*T2^4 + 5*T1^10*T2^4 - 3*T2^5 - 48*T1^2*T2^5 - 
     72*T1^3*T2^5 + 853*T1^4*T2^5 - 314*T1^5*T2^5 - 314*T1^6*T2^5 + 
     853*T1^7*T2^5 - 72*T1^8*T2^5 - 48*T1^9*T2^5 - 3*T1^11*T2^5 + T2^6 + 
     4*T1*T2^6 - 6*T1^2*T2^6 + 222*T1^3*T2^6 - 653*T1^4*T2^6 - 
     314*T1^5*T2^6 + 504*T1^6*T2^6 - 314*T1^7*T2^6 - 653*T1^8*T2^6 + 
     222*T1^9*T2^6 - 6*T1^10*T2^6 + 4*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 - 
     48*T1^3*T2^7 - 72*T1^4*T2^7 + 853*T1^5*T2^7 - 314*T1^6*T2^7 - 
     314*T1^7*T2^7 + 853*T1^8*T2^7 - 72*T1^9*T2^7 - 48*T1^10*T2^7 - 
     3*T1^12*T2^7 + 5*T1^2*T2^8 + 4*T1^3*T2^8 + 44*T1^4*T2^8 - 72*T1^5*T2^8 - 
     653*T1^6*T2^8 + 853*T1^7*T2^8 - 653*T1^8*T2^8 - 72*T1^9*T2^8 + 
     44*T1^10*T2^8 + 4*T1^11*T2^8 + 5*T1^12*T2^8 - 7*T1^3*T2^9 + 
     4*T1^4*T2^9 - 48*T1^5*T2^9 + 222*T1^6*T2^9 - 72*T1^7*T2^9 - 
     72*T1^8*T2^9 + 222*T1^9*T2^9 - 48*T1^10*T2^9 + 4*T1^11*T2^9 - 
     7*T1^12*T2^9 + 5*T1^4*T2^10 - 6*T1^6*T2^10 - 48*T1^7*T2^10 + 
     44*T1^8*T2^10 - 48*T1^9*T2^10 - 6*T1^10*T2^10 + 5*T1^12*T2^10 - 
     3*T1^5*T2^11 + 4*T1^6*T2^11 + 4*T1^8*T2^11 + 4*T1^9*T2^11 + 
     4*T1^11*T2^11 - 3*T1^12*T2^11 + T1^6*T2^12 - 3*T1^7*T2^12 + 
     5*T1^8*T2^12 - 7*T1^9*T2^12 + 5*T1^10*T2^12 - 3*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 778] -> 
  {-((3 - 11*T + 18*T^2 - 21*T^3 + 18*T^4 - 11*T^5 + 3*T^6)/T^3), 
   -((57 - 204*T1 + 328*T1^2 - 381*T1^3 + 328*T1^4 - 204*T1^5 + 57*T1^6 - 
      204*T2 + 526*T1*T2 - 443*T1^2*T2 + 188*T1^3*T2 + 188*T1^4*T2 - 
      443*T1^5*T2 + 526*T1^6*T2 - 204*T1^7*T2 + 328*T2^2 - 443*T1*T2^2 - 
      431*T1^2*T2^2 + 950*T1^3*T2^2 - 1243*T1^4*T2^2 + 950*T1^5*T2^2 - 
      431*T1^6*T2^2 - 443*T1^7*T2^2 + 328*T1^8*T2^2 - 381*T2^3 + 
      188*T1*T2^3 + 950*T1^2*T2^3 - 672*T1^3*T2^3 + 372*T1^4*T2^3 + 
      372*T1^5*T2^3 - 672*T1^6*T2^3 + 950*T1^7*T2^3 + 188*T1^8*T2^3 - 
      381*T1^9*T2^3 + 328*T2^4 + 188*T1*T2^4 - 1243*T1^2*T2^4 + 
      372*T1^3*T2^4 - 358*T1^4*T2^4 - 16*T1^5*T2^4 - 358*T1^6*T2^4 + 
      372*T1^7*T2^4 - 1243*T1^8*T2^4 + 188*T1^9*T2^4 + 328*T1^10*T2^4 - 
      204*T2^5 - 443*T1*T2^5 + 950*T1^2*T2^5 + 372*T1^3*T2^5 - 16*T1^4*T2^5 + 
      262*T1^5*T2^5 + 262*T1^6*T2^5 - 16*T1^7*T2^5 + 372*T1^8*T2^5 + 
      950*T1^9*T2^5 - 443*T1^10*T2^5 - 204*T1^11*T2^5 + 57*T2^6 + 
      526*T1*T2^6 - 431*T1^2*T2^6 - 672*T1^3*T2^6 - 358*T1^4*T2^6 + 
      262*T1^5*T2^6 - 756*T1^6*T2^6 + 262*T1^7*T2^6 - 358*T1^8*T2^6 - 
      672*T1^9*T2^6 - 431*T1^10*T2^6 + 526*T1^11*T2^6 + 57*T1^12*T2^6 - 
      204*T1*T2^7 - 443*T1^2*T2^7 + 950*T1^3*T2^7 + 372*T1^4*T2^7 - 
      16*T1^5*T2^7 + 262*T1^6*T2^7 + 262*T1^7*T2^7 - 16*T1^8*T2^7 + 
      372*T1^9*T2^7 + 950*T1^10*T2^7 - 443*T1^11*T2^7 - 204*T1^12*T2^7 + 
      328*T1^2*T2^8 + 188*T1^3*T2^8 - 1243*T1^4*T2^8 + 372*T1^5*T2^8 - 
      358*T1^6*T2^8 - 16*T1^7*T2^8 - 358*T1^8*T2^8 + 372*T1^9*T2^8 - 
      1243*T1^10*T2^8 + 188*T1^11*T2^8 + 328*T1^12*T2^8 - 381*T1^3*T2^9 + 
      188*T1^4*T2^9 + 950*T1^5*T2^9 - 672*T1^6*T2^9 + 372*T1^7*T2^9 + 
      372*T1^8*T2^9 - 672*T1^9*T2^9 + 950*T1^10*T2^9 + 188*T1^11*T2^9 - 
      381*T1^12*T2^9 + 328*T1^4*T2^10 - 443*T1^5*T2^10 - 431*T1^6*T2^10 + 
      950*T1^7*T2^10 - 1243*T1^8*T2^10 + 950*T1^9*T2^10 - 431*T1^10*T2^10 - 
      443*T1^11*T2^10 + 328*T1^12*T2^10 - 204*T1^5*T2^11 + 526*T1^6*T2^11 - 
      443*T1^7*T2^11 + 188*T1^8*T2^11 + 188*T1^9*T2^11 - 443*T1^10*T2^11 + 
      526*T1^11*T2^11 - 204*T1^12*T2^11 + 57*T1^6*T2^12 - 204*T1^7*T2^12 + 
      328*T1^8*T2^12 - 381*T1^9*T2^12 + 328*T1^10*T2^12 - 204*T1^11*T2^12 + 
      57*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 779] -> 
  {((1 - T + T^2)*(2 - 9*T + 15*T^2 - 9*T^3 + 2*T^4))/T^3, 
   (9 - 49*T1 + 114*T1^2 - 143*T1^3 + 114*T1^4 - 49*T1^5 + 9*T1^6 - 49*T2 + 
     220*T1*T2 - 361*T1^2*T2 + 163*T1^3*T2 + 163*T1^4*T2 - 361*T1^5*T2 + 
     220*T1^6*T2 - 49*T1^7*T2 + 114*T2^2 - 361*T1*T2^2 + 112*T1^2*T2^2 + 
     986*T1^3*T2^2 - 1440*T1^4*T2^2 + 986*T1^5*T2^2 + 112*T1^6*T2^2 - 
     361*T1^7*T2^2 + 114*T1^8*T2^2 - 143*T2^3 + 163*T1*T2^3 + 986*T1^2*T2^3 - 
     2488*T1^3*T2^3 + 1101*T1^4*T2^3 + 1101*T1^5*T2^3 - 2488*T1^6*T2^3 + 
     986*T1^7*T2^3 + 163*T1^8*T2^3 - 143*T1^9*T2^3 + 114*T2^4 + 163*T1*T2^4 - 
     1440*T1^2*T2^4 + 1101*T1^3*T2^4 + 3282*T1^4*T2^4 - 4926*T1^5*T2^4 + 
     3282*T1^6*T2^4 + 1101*T1^7*T2^4 - 1440*T1^8*T2^4 + 163*T1^9*T2^4 + 
     114*T1^10*T2^4 - 49*T2^5 - 361*T1*T2^5 + 986*T1^2*T2^5 + 
     1101*T1^3*T2^5 - 4926*T1^4*T2^5 + 2140*T1^5*T2^5 + 2140*T1^6*T2^5 - 
     4926*T1^7*T2^5 + 1101*T1^8*T2^5 + 986*T1^9*T2^5 - 361*T1^10*T2^5 - 
     49*T1^11*T2^5 + 9*T2^6 + 220*T1*T2^6 + 112*T1^2*T2^6 - 2488*T1^3*T2^6 + 
     3282*T1^4*T2^6 + 2140*T1^5*T2^6 - 4044*T1^6*T2^6 + 2140*T1^7*T2^6 + 
     3282*T1^8*T2^6 - 2488*T1^9*T2^6 + 112*T1^10*T2^6 + 220*T1^11*T2^6 + 
     9*T1^12*T2^6 - 49*T1*T2^7 - 361*T1^2*T2^7 + 986*T1^3*T2^7 + 
     1101*T1^4*T2^7 - 4926*T1^5*T2^7 + 2140*T1^6*T2^7 + 2140*T1^7*T2^7 - 
     4926*T1^8*T2^7 + 1101*T1^9*T2^7 + 986*T1^10*T2^7 - 361*T1^11*T2^7 - 
     49*T1^12*T2^7 + 114*T1^2*T2^8 + 163*T1^3*T2^8 - 1440*T1^4*T2^8 + 
     1101*T1^5*T2^8 + 3282*T1^6*T2^8 - 4926*T1^7*T2^8 + 3282*T1^8*T2^8 + 
     1101*T1^9*T2^8 - 1440*T1^10*T2^8 + 163*T1^11*T2^8 + 114*T1^12*T2^8 - 
     143*T1^3*T2^9 + 163*T1^4*T2^9 + 986*T1^5*T2^9 - 2488*T1^6*T2^9 + 
     1101*T1^7*T2^9 + 1101*T1^8*T2^9 - 2488*T1^9*T2^9 + 986*T1^10*T2^9 + 
     163*T1^11*T2^9 - 143*T1^12*T2^9 + 114*T1^4*T2^10 - 361*T1^5*T2^10 + 
     112*T1^6*T2^10 + 986*T1^7*T2^10 - 1440*T1^8*T2^10 + 986*T1^9*T2^10 + 
     112*T1^10*T2^10 - 361*T1^11*T2^10 + 114*T1^12*T2^10 - 49*T1^5*T2^11 + 
     220*T1^6*T2^11 - 361*T1^7*T2^11 + 163*T1^8*T2^11 + 163*T1^9*T2^11 - 
     361*T1^10*T2^11 + 220*T1^11*T2^11 - 49*T1^12*T2^11 + 9*T1^6*T2^12 - 
     49*T1^7*T2^12 + 114*T1^8*T2^12 - 143*T1^9*T2^12 + 114*T1^10*T2^12 - 
     49*T1^11*T2^12 + 9*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 780] -> 
  {-(((1 - T + T^2)*(1 - 7*T + 11*T^2 - 7*T^3 + T^4))/T^3), 
   -((2*T1 - T1^2 - T1^3 + 2*T1^4 + 2*T2 - 37*T1*T2 + 66*T1^2*T2 - 
      89*T1^3*T2 + 66*T1^4*T2 - 37*T1^5*T2 + 2*T1^6*T2 - T2^2 + 66*T1*T2^2 - 
      4*T1^2*T2^2 + 15*T1^3*T2^2 + 15*T1^4*T2^2 - 4*T1^5*T2^2 + 
      66*T1^6*T2^2 - T1^7*T2^2 - T2^3 - 89*T1*T2^3 + 15*T1^2*T2^3 - 
      544*T1^3*T2^3 + 758*T1^4*T2^3 - 544*T1^5*T2^3 + 15*T1^6*T2^3 - 
      89*T1^7*T2^3 - T1^8*T2^3 + 2*T2^4 + 66*T1*T2^4 + 15*T1^2*T2^4 + 
      758*T1^3*T2^4 - 378*T1^4*T2^4 - 378*T1^5*T2^4 + 758*T1^6*T2^4 + 
      15*T1^7*T2^4 + 66*T1^8*T2^4 + 2*T1^9*T2^4 - 37*T1*T2^5 - 4*T1^2*T2^5 - 
      544*T1^3*T2^5 - 378*T1^4*T2^5 + 780*T1^5*T2^5 - 378*T1^6*T2^5 - 
      544*T1^7*T2^5 - 4*T1^8*T2^5 - 37*T1^9*T2^5 + 2*T1*T2^6 + 66*T1^2*T2^6 + 
      15*T1^3*T2^6 + 758*T1^4*T2^6 - 378*T1^5*T2^6 - 378*T1^6*T2^6 + 
      758*T1^7*T2^6 + 15*T1^8*T2^6 + 66*T1^9*T2^6 + 2*T1^10*T2^6 - 
      T1^2*T2^7 - 89*T1^3*T2^7 + 15*T1^4*T2^7 - 544*T1^5*T2^7 + 
      758*T1^6*T2^7 - 544*T1^7*T2^7 + 15*T1^8*T2^7 - 89*T1^9*T2^7 - 
      T1^10*T2^7 - T1^3*T2^8 + 66*T1^4*T2^8 - 4*T1^5*T2^8 + 15*T1^6*T2^8 + 
      15*T1^7*T2^8 - 4*T1^8*T2^8 + 66*T1^9*T2^8 - T1^10*T2^8 + 2*T1^4*T2^9 - 
      37*T1^5*T2^9 + 66*T1^6*T2^9 - 89*T1^7*T2^9 + 66*T1^8*T2^9 - 
      37*T1^9*T2^9 + 2*T1^10*T2^9 + 2*T1^6*T2^10 - T1^7*T2^10 - T1^8*T2^10 + 
      2*T1^9*T2^10)/(T1^5*T2^5))}, 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, 
   (2 - 5*T1 + 4*T1^2 + 4*T1^4 - 5*T1^5 + 2*T1^6 - 5*T2 + 4*T1*T2 + 
     15*T1^2*T2 - 19*T1^3*T2 - 19*T1^4*T2 + 15*T1^5*T2 + 4*T1^6*T2 - 
     5*T1^7*T2 + 4*T2^2 + 15*T1*T2^2 - 48*T1^2*T2^2 + 2*T1^3*T2^2 + 
     78*T1^4*T2^2 + 2*T1^5*T2^2 - 48*T1^6*T2^2 + 15*T1^7*T2^2 + 4*T1^8*T2^2 - 
     19*T1*T2^3 + 2*T1^2*T2^3 + 116*T1^3*T2^3 - 116*T1^4*T2^3 - 
     116*T1^5*T2^3 + 116*T1^6*T2^3 + 2*T1^7*T2^3 - 19*T1^8*T2^3 + 4*T2^4 - 
     19*T1*T2^4 + 78*T1^2*T2^4 - 116*T1^3*T2^4 - 91*T1^4*T2^4 + 
     317*T1^5*T2^4 - 91*T1^6*T2^4 - 116*T1^7*T2^4 + 78*T1^8*T2^4 - 
     19*T1^9*T2^4 + 4*T1^10*T2^4 - 5*T2^5 + 15*T1*T2^5 + 2*T1^2*T2^5 - 
     116*T1^3*T2^5 + 317*T1^4*T2^5 - 222*T1^5*T2^5 - 222*T1^6*T2^5 + 
     317*T1^7*T2^5 - 116*T1^8*T2^5 + 2*T1^9*T2^5 + 15*T1^10*T2^5 - 
     5*T1^11*T2^5 + 2*T2^6 + 4*T1*T2^6 - 48*T1^2*T2^6 + 116*T1^3*T2^6 - 
     91*T1^4*T2^6 - 222*T1^5*T2^6 + 492*T1^6*T2^6 - 222*T1^7*T2^6 - 
     91*T1^8*T2^6 + 116*T1^9*T2^6 - 48*T1^10*T2^6 + 4*T1^11*T2^6 + 
     2*T1^12*T2^6 - 5*T1*T2^7 + 15*T1^2*T2^7 + 2*T1^3*T2^7 - 116*T1^4*T2^7 + 
     317*T1^5*T2^7 - 222*T1^6*T2^7 - 222*T1^7*T2^7 + 317*T1^8*T2^7 - 
     116*T1^9*T2^7 + 2*T1^10*T2^7 + 15*T1^11*T2^7 - 5*T1^12*T2^7 + 
     4*T1^2*T2^8 - 19*T1^3*T2^8 + 78*T1^4*T2^8 - 116*T1^5*T2^8 - 
     91*T1^6*T2^8 + 317*T1^7*T2^8 - 91*T1^8*T2^8 - 116*T1^9*T2^8 + 
     78*T1^10*T2^8 - 19*T1^11*T2^8 + 4*T1^12*T2^8 - 19*T1^4*T2^9 + 
     2*T1^5*T2^9 + 116*T1^6*T2^9 - 116*T1^7*T2^9 - 116*T1^8*T2^9 + 
     116*T1^9*T2^9 + 2*T1^10*T2^9 - 19*T1^11*T2^9 + 4*T1^4*T2^10 + 
     15*T1^5*T2^10 - 48*T1^6*T2^10 + 2*T1^7*T2^10 + 78*T1^8*T2^10 + 
     2*T1^9*T2^10 - 48*T1^10*T2^10 + 15*T1^11*T2^10 + 4*T1^12*T2^10 - 
     5*T1^5*T2^11 + 4*T1^6*T2^11 + 15*T1^7*T2^11 - 19*T1^8*T2^11 - 
     19*T1^9*T2^11 + 15*T1^10*T2^11 + 4*T1^11*T2^11 - 5*T1^12*T2^11 + 
     2*T1^6*T2^12 - 5*T1^7*T2^12 + 4*T1^8*T2^12 + 4*T1^10*T2^12 - 
     5*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 782] -> 
  {-(((-2 + 4*T - 2*T^2 + T^3)*(-1 + 2*T - 4*T^2 + 2*T^3))/T^3), 
   (1 - 4*T1 + 10*T1^2 - 15*T1^3 + 10*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 
     12*T1*T2 - 24*T1^2*T2 + 20*T1^3*T2 + 20*T1^4*T2 - 24*T1^5*T2 + 
     12*T1^6*T2 - 4*T1^7*T2 + 10*T2^2 - 24*T1*T2^2 + 54*T1^2*T2^2 - 
     60*T1^3*T2^2 + 4*T1^4*T2^2 - 60*T1^5*T2^2 + 54*T1^6*T2^2 - 
     24*T1^7*T2^2 + 10*T1^8*T2^2 - 15*T2^3 + 20*T1*T2^3 - 60*T1^2*T2^3 + 
     48*T1^3*T2^3 + 64*T1^4*T2^3 + 64*T1^5*T2^3 + 48*T1^6*T2^3 - 
     60*T1^7*T2^3 + 20*T1^8*T2^3 - 15*T1^9*T2^3 + 10*T2^4 + 20*T1*T2^4 + 
     4*T1^2*T2^4 + 64*T1^3*T2^4 - 157*T1^4*T2^4 - 139*T1^5*T2^4 - 
     157*T1^6*T2^4 + 64*T1^7*T2^4 + 4*T1^8*T2^4 + 20*T1^9*T2^4 + 
     10*T1^10*T2^4 - 4*T2^5 - 24*T1*T2^5 - 60*T1^2*T2^5 + 64*T1^3*T2^5 - 
     139*T1^4*T2^5 + 372*T1^5*T2^5 + 372*T1^6*T2^5 - 139*T1^7*T2^5 + 
     64*T1^8*T2^5 - 60*T1^9*T2^5 - 24*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 
     12*T1*T2^6 + 54*T1^2*T2^6 + 48*T1^3*T2^6 - 157*T1^4*T2^6 + 
     372*T1^5*T2^6 - 1152*T1^6*T2^6 + 372*T1^7*T2^6 - 157*T1^8*T2^6 + 
     48*T1^9*T2^6 + 54*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 
     24*T1^2*T2^7 - 60*T1^3*T2^7 + 64*T1^4*T2^7 - 139*T1^5*T2^7 + 
     372*T1^6*T2^7 + 372*T1^7*T2^7 - 139*T1^8*T2^7 + 64*T1^9*T2^7 - 
     60*T1^10*T2^7 - 24*T1^11*T2^7 - 4*T1^12*T2^7 + 10*T1^2*T2^8 + 
     20*T1^3*T2^8 + 4*T1^4*T2^8 + 64*T1^5*T2^8 - 157*T1^6*T2^8 - 
     139*T1^7*T2^8 - 157*T1^8*T2^8 + 64*T1^9*T2^8 + 4*T1^10*T2^8 + 
     20*T1^11*T2^8 + 10*T1^12*T2^8 - 15*T1^3*T2^9 + 20*T1^4*T2^9 - 
     60*T1^5*T2^9 + 48*T1^6*T2^9 + 64*T1^7*T2^9 + 64*T1^8*T2^9 + 
     48*T1^9*T2^9 - 60*T1^10*T2^9 + 20*T1^11*T2^9 - 15*T1^12*T2^9 + 
     10*T1^4*T2^10 - 24*T1^5*T2^10 + 54*T1^6*T2^10 - 60*T1^7*T2^10 + 
     4*T1^8*T2^10 - 60*T1^9*T2^10 + 54*T1^10*T2^10 - 24*T1^11*T2^10 + 
     10*T1^12*T2^10 - 4*T1^5*T2^11 + 12*T1^6*T2^11 - 24*T1^7*T2^11 + 
     20*T1^8*T2^11 + 20*T1^9*T2^11 - 24*T1^10*T2^11 + 12*T1^11*T2^11 - 
     4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 10*T1^8*T2^12 - 
     15*T1^9*T2^12 + 10*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 783] -> 
  {(2 - 11*T + 30*T^2 - 41*T^3 + 30*T^4 - 11*T^5 + 2*T^6)/T^3, 
   (9 - 49*T1 + 133*T1^2 - 181*T1^3 + 133*T1^4 - 49*T1^5 + 9*T1^6 - 49*T2 + 
     218*T1*T2 - 465*T1^2*T2 + 267*T1^3*T2 + 267*T1^4*T2 - 465*T1^5*T2 + 
     218*T1^6*T2 - 49*T1^7*T2 + 133*T2^2 - 465*T1*T2^2 + 732*T1^2*T2^2 + 
     429*T1^3*T2^2 - 1330*T1^4*T2^2 + 429*T1^5*T2^2 + 732*T1^6*T2^2 - 
     465*T1^7*T2^2 + 133*T1^8*T2^2 - 181*T2^3 + 267*T1*T2^3 + 429*T1^2*T2^3 - 
     3310*T1^3*T2^3 + 2234*T1^4*T2^3 + 2234*T1^5*T2^3 - 3310*T1^6*T2^3 + 
     429*T1^7*T2^3 + 267*T1^8*T2^3 - 181*T1^9*T2^3 + 133*T2^4 + 267*T1*T2^4 - 
     1330*T1^2*T2^4 + 2234*T1^3*T2^4 + 6164*T1^4*T2^4 - 12364*T1^5*T2^4 + 
     6164*T1^6*T2^4 + 2234*T1^7*T2^4 - 1330*T1^8*T2^4 + 267*T1^9*T2^4 + 
     133*T1^10*T2^4 - 49*T2^5 - 465*T1*T2^5 + 429*T1^2*T2^5 + 
     2234*T1^3*T2^5 - 12364*T1^4*T2^5 + 8138*T1^5*T2^5 + 8138*T1^6*T2^5 - 
     12364*T1^7*T2^5 + 2234*T1^8*T2^5 + 429*T1^9*T2^5 - 465*T1^10*T2^5 - 
     49*T1^11*T2^5 + 9*T2^6 + 218*T1*T2^6 + 732*T1^2*T2^6 - 3310*T1^3*T2^6 + 
     6164*T1^4*T2^6 + 8138*T1^5*T2^6 - 19044*T1^6*T2^6 + 8138*T1^7*T2^6 + 
     6164*T1^8*T2^6 - 3310*T1^9*T2^6 + 732*T1^10*T2^6 + 218*T1^11*T2^6 + 
     9*T1^12*T2^6 - 49*T1*T2^7 - 465*T1^2*T2^7 + 429*T1^3*T2^7 + 
     2234*T1^4*T2^7 - 12364*T1^5*T2^7 + 8138*T1^6*T2^7 + 8138*T1^7*T2^7 - 
     12364*T1^8*T2^7 + 2234*T1^9*T2^7 + 429*T1^10*T2^7 - 465*T1^11*T2^7 - 
     49*T1^12*T2^7 + 133*T1^2*T2^8 + 267*T1^3*T2^8 - 1330*T1^4*T2^8 + 
     2234*T1^5*T2^8 + 6164*T1^6*T2^8 - 12364*T1^7*T2^8 + 6164*T1^8*T2^8 + 
     2234*T1^9*T2^8 - 1330*T1^10*T2^8 + 267*T1^11*T2^8 + 133*T1^12*T2^8 - 
     181*T1^3*T2^9 + 267*T1^4*T2^9 + 429*T1^5*T2^9 - 3310*T1^6*T2^9 + 
     2234*T1^7*T2^9 + 2234*T1^8*T2^9 - 3310*T1^9*T2^9 + 429*T1^10*T2^9 + 
     267*T1^11*T2^9 - 181*T1^12*T2^9 + 133*T1^4*T2^10 - 465*T1^5*T2^10 + 
     732*T1^6*T2^10 + 429*T1^7*T2^10 - 1330*T1^8*T2^10 + 429*T1^9*T2^10 + 
     732*T1^10*T2^10 - 465*T1^11*T2^10 + 133*T1^12*T2^10 - 49*T1^5*T2^11 + 
     218*T1^6*T2^11 - 465*T1^7*T2^11 + 267*T1^8*T2^11 + 267*T1^9*T2^11 - 
     465*T1^10*T2^11 + 218*T1^11*T2^11 - 49*T1^12*T2^11 + 9*T1^6*T2^12 - 
     49*T1^7*T2^12 + 133*T1^8*T2^12 - 181*T1^9*T2^12 + 133*T1^10*T2^12 - 
     49*T1^11*T2^12 + 9*T1^12*T2^12)/(T1^6*T2^6)}, 
 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), 
   -((1 - 6*T1 + 15*T1^2 - 25*T1^3 + 29*T1^4 - 25*T1^5 + 15*T1^6 - 6*T1^7 + 
      T1^8 - 6*T2 + 30*T1*T2 - 54*T1^2*T2 + 60*T1^3*T2 - 24*T1^4*T2 - 
      24*T1^5*T2 + 60*T1^6*T2 - 54*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 
      15*T2^2 - 54*T1*T2^2 + 24*T1^2*T2^2 + 78*T1^3*T2^2 - 247*T1^4*T2^2 + 
      304*T1^5*T2^2 - 247*T1^6*T2^2 + 78*T1^7*T2^2 + 24*T1^8*T2^2 - 
      54*T1^9*T2^2 + 15*T1^10*T2^2 - 25*T2^3 + 60*T1*T2^3 + 78*T1^2*T2^3 - 
      250*T1^3*T2^3 + 393*T1^4*T2^3 - 155*T1^5*T2^3 - 155*T1^6*T2^3 + 
      393*T1^7*T2^3 - 250*T1^8*T2^3 + 78*T1^9*T2^3 + 60*T1^10*T2^3 - 
      25*T1^11*T2^3 + 29*T2^4 - 24*T1*T2^4 - 247*T1^2*T2^4 + 393*T1^3*T2^4 - 
      351*T1^4*T2^4 - 232*T1^5*T2^4 + 441*T1^6*T2^4 - 232*T1^7*T2^4 - 
      351*T1^8*T2^4 + 393*T1^9*T2^4 - 247*T1^10*T2^4 - 24*T1^11*T2^4 + 
      29*T1^12*T2^4 - 25*T2^5 - 24*T1*T2^5 + 304*T1^2*T2^5 - 155*T1^3*T2^5 - 
      232*T1^4*T2^5 + 828*T1^5*T2^5 - 381*T1^6*T2^5 - 381*T1^7*T2^5 + 
      828*T1^8*T2^5 - 232*T1^9*T2^5 - 155*T1^10*T2^5 + 304*T1^11*T2^5 - 
      24*T1^12*T2^5 - 25*T1^13*T2^5 + 15*T2^6 + 60*T1*T2^6 - 247*T1^2*T2^6 - 
      155*T1^3*T2^6 + 441*T1^4*T2^6 - 381*T1^5*T2^6 - 663*T1^6*T2^6 + 
      1137*T1^7*T2^6 - 663*T1^8*T2^6 - 381*T1^9*T2^6 + 441*T1^10*T2^6 - 
      155*T1^11*T2^6 - 247*T1^12*T2^6 + 60*T1^13*T2^6 + 15*T1^14*T2^6 - 
      6*T2^7 - 54*T1*T2^7 + 78*T1^2*T2^7 + 393*T1^3*T2^7 - 232*T1^4*T2^7 - 
      381*T1^5*T2^7 + 1137*T1^6*T2^7 - 578*T1^7*T2^7 - 578*T1^8*T2^7 + 
      1137*T1^9*T2^7 - 381*T1^10*T2^7 - 232*T1^11*T2^7 + 393*T1^12*T2^7 + 
      78*T1^13*T2^7 - 54*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 
      24*T1^2*T2^8 - 250*T1^3*T2^8 - 351*T1^4*T2^8 + 828*T1^5*T2^8 - 
      663*T1^6*T2^8 - 578*T1^7*T2^8 + 1224*T1^8*T2^8 - 578*T1^9*T2^8 - 
      663*T1^10*T2^8 + 828*T1^11*T2^8 - 351*T1^12*T2^8 - 250*T1^13*T2^8 + 
      24*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 54*T1^2*T2^9 + 
      78*T1^3*T2^9 + 393*T1^4*T2^9 - 232*T1^5*T2^9 - 381*T1^6*T2^9 + 
      1137*T1^7*T2^9 - 578*T1^8*T2^9 - 578*T1^9*T2^9 + 1137*T1^10*T2^9 - 
      381*T1^11*T2^9 - 232*T1^12*T2^9 + 393*T1^13*T2^9 + 78*T1^14*T2^9 - 
      54*T1^15*T2^9 - 6*T1^16*T2^9 + 15*T1^2*T2^10 + 60*T1^3*T2^10 - 
      247*T1^4*T2^10 - 155*T1^5*T2^10 + 441*T1^6*T2^10 - 381*T1^7*T2^10 - 
      663*T1^8*T2^10 + 1137*T1^9*T2^10 - 663*T1^10*T2^10 - 381*T1^11*T2^10 + 
      441*T1^12*T2^10 - 155*T1^13*T2^10 - 247*T1^14*T2^10 + 60*T1^15*T2^10 + 
      15*T1^16*T2^10 - 25*T1^3*T2^11 - 24*T1^4*T2^11 + 304*T1^5*T2^11 - 
      155*T1^6*T2^11 - 232*T1^7*T2^11 + 828*T1^8*T2^11 - 381*T1^9*T2^11 - 
      381*T1^10*T2^11 + 828*T1^11*T2^11 - 232*T1^12*T2^11 - 155*T1^13*T2^11 + 
      304*T1^14*T2^11 - 24*T1^15*T2^11 - 25*T1^16*T2^11 + 29*T1^4*T2^12 - 
      24*T1^5*T2^12 - 247*T1^6*T2^12 + 393*T1^7*T2^12 - 351*T1^8*T2^12 - 
      232*T1^9*T2^12 + 441*T1^10*T2^12 - 232*T1^11*T2^12 - 351*T1^12*T2^12 + 
      393*T1^13*T2^12 - 247*T1^14*T2^12 - 24*T1^15*T2^12 + 29*T1^16*T2^12 - 
      25*T1^5*T2^13 + 60*T1^6*T2^13 + 78*T1^7*T2^13 - 250*T1^8*T2^13 + 
      393*T1^9*T2^13 - 155*T1^10*T2^13 - 155*T1^11*T2^13 + 393*T1^12*T2^13 - 
      250*T1^13*T2^13 + 78*T1^14*T2^13 + 60*T1^15*T2^13 - 25*T1^16*T2^13 + 
      15*T1^6*T2^14 - 54*T1^7*T2^14 + 24*T1^8*T2^14 + 78*T1^9*T2^14 - 
      247*T1^10*T2^14 + 304*T1^11*T2^14 - 247*T1^12*T2^14 + 78*T1^13*T2^14 + 
      24*T1^14*T2^14 - 54*T1^15*T2^14 + 15*T1^16*T2^14 - 6*T1^7*T2^15 + 
      30*T1^8*T2^15 - 54*T1^9*T2^15 + 60*T1^10*T2^15 - 24*T1^11*T2^15 - 
      24*T1^12*T2^15 + 60*T1^13*T2^15 - 54*T1^14*T2^15 + 30*T1^15*T2^15 - 
      6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 15*T1^10*T2^16 - 
      25*T1^11*T2^16 + 29*T1^12*T2^16 - 25*T1^13*T2^16 + 15*T1^14*T2^16 - 
      6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 785] -> 
  {-(((2 - 3*T + 2*T^2)*(3 - 7*T + 3*T^2))/T^2), 
   (267 - 981*T1 + 1379*T1^2 - 981*T1^3 + 267*T1^4 - 981*T2 + 2626*T1*T2 - 
     1464*T1^2*T2 - 1464*T1^3*T2 + 2626*T1^4*T2 - 981*T1^5*T2 + 1379*T2^2 - 
     1464*T1*T2^2 - 4778*T1^2*T2^2 + 8562*T1^3*T2^2 - 4778*T1^4*T2^2 - 
     1464*T1^5*T2^2 + 1379*T1^6*T2^2 - 981*T2^3 - 1464*T1*T2^3 + 
     8562*T1^2*T2^3 - 5024*T1^3*T2^3 - 5024*T1^4*T2^3 + 8562*T1^5*T2^3 - 
     1464*T1^6*T2^3 - 981*T1^7*T2^3 + 267*T2^4 + 2626*T1*T2^4 - 
     4778*T1^2*T2^4 - 5024*T1^3*T2^4 + 11148*T1^4*T2^4 - 5024*T1^5*T2^4 - 
     4778*T1^6*T2^4 + 2626*T1^7*T2^4 + 267*T1^8*T2^4 - 981*T1*T2^5 - 
     1464*T1^2*T2^5 + 8562*T1^3*T2^5 - 5024*T1^4*T2^5 - 5024*T1^5*T2^5 + 
     8562*T1^6*T2^5 - 1464*T1^7*T2^5 - 981*T1^8*T2^5 + 1379*T1^2*T2^6 - 
     1464*T1^3*T2^6 - 4778*T1^4*T2^6 + 8562*T1^5*T2^6 - 4778*T1^6*T2^6 - 
     1464*T1^7*T2^6 + 1379*T1^8*T2^6 - 981*T1^3*T2^7 + 2626*T1^4*T2^7 - 
     1464*T1^5*T2^7 - 1464*T1^6*T2^7 + 2626*T1^7*T2^7 - 981*T1^8*T2^7 + 
     267*T1^4*T2^8 - 981*T1^5*T2^8 + 1379*T1^6*T2^8 - 981*T1^7*T2^8 + 
     267*T1^8*T2^8)/(T1^4*T2^4)}, Knot[12, NonAlternating, 786] -> 
  {(2 - 12*T + 33*T^2 - 45*T^3 + 33*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (9 - 52*T1 + 142*T1^2 - 193*T1^3 + 142*T1^4 - 52*T1^5 + 9*T1^6 - 52*T2 + 
     248*T1*T2 - 516*T1^2*T2 + 292*T1^3*T2 + 292*T1^4*T2 - 516*T1^5*T2 + 
     248*T1^6*T2 - 52*T1^7*T2 + 142*T2^2 - 516*T1*T2^2 + 614*T1^2*T2^2 + 
     921*T1^3*T2^2 - 2014*T1^4*T2^2 + 921*T1^5*T2^2 + 614*T1^6*T2^2 - 
     516*T1^7*T2^2 + 142*T1^8*T2^2 - 193*T2^3 + 292*T1*T2^3 + 921*T1^2*T2^3 - 
     4250*T1^3*T2^3 + 2707*T1^4*T2^3 + 2707*T1^5*T2^3 - 4250*T1^6*T2^3 + 
     921*T1^7*T2^3 + 292*T1^8*T2^3 - 193*T1^9*T2^3 + 142*T2^4 + 292*T1*T2^4 - 
     2014*T1^2*T2^4 + 2707*T1^3*T2^4 + 7037*T1^4*T2^4 - 13923*T1^5*T2^4 + 
     7037*T1^6*T2^4 + 2707*T1^7*T2^4 - 2014*T1^8*T2^4 + 292*T1^9*T2^4 + 
     142*T1^10*T2^4 - 52*T2^5 - 516*T1*T2^5 + 921*T1^2*T2^5 + 
     2707*T1^3*T2^5 - 13923*T1^4*T2^5 + 8912*T1^5*T2^5 + 8912*T1^6*T2^5 - 
     13923*T1^7*T2^5 + 2707*T1^8*T2^5 + 921*T1^9*T2^5 - 516*T1^10*T2^5 - 
     52*T1^11*T2^5 + 9*T2^6 + 248*T1*T2^6 + 614*T1^2*T2^6 - 4250*T1^3*T2^6 + 
     7037*T1^4*T2^6 + 8912*T1^5*T2^6 - 20568*T1^6*T2^6 + 8912*T1^7*T2^6 + 
     7037*T1^8*T2^6 - 4250*T1^9*T2^6 + 614*T1^10*T2^6 + 248*T1^11*T2^6 + 
     9*T1^12*T2^6 - 52*T1*T2^7 - 516*T1^2*T2^7 + 921*T1^3*T2^7 + 
     2707*T1^4*T2^7 - 13923*T1^5*T2^7 + 8912*T1^6*T2^7 + 8912*T1^7*T2^7 - 
     13923*T1^8*T2^7 + 2707*T1^9*T2^7 + 921*T1^10*T2^7 - 516*T1^11*T2^7 - 
     52*T1^12*T2^7 + 142*T1^2*T2^8 + 292*T1^3*T2^8 - 2014*T1^4*T2^8 + 
     2707*T1^5*T2^8 + 7037*T1^6*T2^8 - 13923*T1^7*T2^8 + 7037*T1^8*T2^8 + 
     2707*T1^9*T2^8 - 2014*T1^10*T2^8 + 292*T1^11*T2^8 + 142*T1^12*T2^8 - 
     193*T1^3*T2^9 + 292*T1^4*T2^9 + 921*T1^5*T2^9 - 4250*T1^6*T2^9 + 
     2707*T1^7*T2^9 + 2707*T1^8*T2^9 - 4250*T1^9*T2^9 + 921*T1^10*T2^9 + 
     292*T1^11*T2^9 - 193*T1^12*T2^9 + 142*T1^4*T2^10 - 516*T1^5*T2^10 + 
     614*T1^6*T2^10 + 921*T1^7*T2^10 - 2014*T1^8*T2^10 + 921*T1^9*T2^10 + 
     614*T1^10*T2^10 - 516*T1^11*T2^10 + 142*T1^12*T2^10 - 52*T1^5*T2^11 + 
     248*T1^6*T2^11 - 516*T1^7*T2^11 + 292*T1^8*T2^11 + 292*T1^9*T2^11 - 
     516*T1^10*T2^11 + 248*T1^11*T2^11 - 52*T1^12*T2^11 + 9*T1^6*T2^12 - 
     52*T1^7*T2^12 + 142*T1^8*T2^12 - 193*T1^9*T2^12 + 142*T1^10*T2^12 - 
     52*T1^11*T2^12 + 9*T1^12*T2^12)/(T1^6*T2^6)}, 
 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), 
   -((1 - 4*T1 + 9*T1^2 - 14*T1^3 + 15*T1^4 - 14*T1^5 + 9*T1^6 - 4*T1^7 + 
      T1^8 - 4*T2 + 12*T1*T2 - 20*T1^2*T2 + 20*T1^3*T2 - 4*T1^4*T2 - 
      4*T1^5*T2 + 20*T1^6*T2 - 20*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 9*T2^2 - 
      20*T1*T2^2 + 27*T1^2*T2^2 - 20*T1^3*T2^2 - 13*T1^4*T2^2 - T1^5*T2^2 - 
      13*T1^6*T2^2 - 20*T1^7*T2^2 + 27*T1^8*T2^2 - 20*T1^9*T2^2 + 
      9*T1^10*T2^2 - 14*T2^3 + 20*T1*T2^3 - 20*T1^2*T2^3 + 2*T1^3*T2^3 + 
      53*T1^4*T2^3 + 11*T1^5*T2^3 + 11*T1^6*T2^3 + 53*T1^7*T2^3 + 
      2*T1^8*T2^3 - 20*T1^9*T2^3 + 20*T1^10*T2^3 - 14*T1^11*T2^3 + 15*T2^4 - 
      4*T1*T2^4 - 13*T1^2*T2^4 + 53*T1^3*T2^4 - 120*T1^4*T2^4 - 
      11*T1^5*T2^4 - 56*T1^6*T2^4 - 11*T1^7*T2^4 - 120*T1^8*T2^4 + 
      53*T1^9*T2^4 - 13*T1^10*T2^4 - 4*T1^11*T2^4 + 15*T1^12*T2^4 - 14*T2^5 - 
      4*T1*T2^5 - T1^2*T2^5 + 11*T1^3*T2^5 - 11*T1^4*T2^5 + 188*T1^5*T2^5 - 
      4*T1^6*T2^5 - 4*T1^7*T2^5 + 188*T1^8*T2^5 - 11*T1^9*T2^5 + 
      11*T1^10*T2^5 - T1^11*T2^5 - 4*T1^12*T2^5 - 14*T1^13*T2^5 + 9*T2^6 + 
      20*T1*T2^6 - 13*T1^2*T2^6 + 11*T1^3*T2^6 - 56*T1^4*T2^6 - 4*T1^5*T2^6 - 
      351*T1^6*T2^6 + 371*T1^7*T2^6 - 351*T1^8*T2^6 - 4*T1^9*T2^6 - 
      56*T1^10*T2^6 + 11*T1^11*T2^6 - 13*T1^12*T2^6 + 20*T1^13*T2^6 + 
      9*T1^14*T2^6 - 4*T2^7 - 20*T1*T2^7 - 20*T1^2*T2^7 + 53*T1^3*T2^7 - 
      11*T1^4*T2^7 - 4*T1^5*T2^7 + 371*T1^6*T2^7 - 160*T1^7*T2^7 - 
      160*T1^8*T2^7 + 371*T1^9*T2^7 - 4*T1^10*T2^7 - 11*T1^11*T2^7 + 
      53*T1^12*T2^7 - 20*T1^13*T2^7 - 20*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 
      12*T1*T2^8 + 27*T1^2*T2^8 + 2*T1^3*T2^8 - 120*T1^4*T2^8 + 
      188*T1^5*T2^8 - 351*T1^6*T2^8 - 160*T1^7*T2^8 + 396*T1^8*T2^8 - 
      160*T1^9*T2^8 - 351*T1^10*T2^8 + 188*T1^11*T2^8 - 120*T1^12*T2^8 + 
      2*T1^13*T2^8 + 27*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 
      20*T1^2*T2^9 - 20*T1^3*T2^9 + 53*T1^4*T2^9 - 11*T1^5*T2^9 - 
      4*T1^6*T2^9 + 371*T1^7*T2^9 - 160*T1^8*T2^9 - 160*T1^9*T2^9 + 
      371*T1^10*T2^9 - 4*T1^11*T2^9 - 11*T1^12*T2^9 + 53*T1^13*T2^9 - 
      20*T1^14*T2^9 - 20*T1^15*T2^9 - 4*T1^16*T2^9 + 9*T1^2*T2^10 + 
      20*T1^3*T2^10 - 13*T1^4*T2^10 + 11*T1^5*T2^10 - 56*T1^6*T2^10 - 
      4*T1^7*T2^10 - 351*T1^8*T2^10 + 371*T1^9*T2^10 - 351*T1^10*T2^10 - 
      4*T1^11*T2^10 - 56*T1^12*T2^10 + 11*T1^13*T2^10 - 13*T1^14*T2^10 + 
      20*T1^15*T2^10 + 9*T1^16*T2^10 - 14*T1^3*T2^11 - 4*T1^4*T2^11 - 
      T1^5*T2^11 + 11*T1^6*T2^11 - 11*T1^7*T2^11 + 188*T1^8*T2^11 - 
      4*T1^9*T2^11 - 4*T1^10*T2^11 + 188*T1^11*T2^11 - 11*T1^12*T2^11 + 
      11*T1^13*T2^11 - T1^14*T2^11 - 4*T1^15*T2^11 - 14*T1^16*T2^11 + 
      15*T1^4*T2^12 - 4*T1^5*T2^12 - 13*T1^6*T2^12 + 53*T1^7*T2^12 - 
      120*T1^8*T2^12 - 11*T1^9*T2^12 - 56*T1^10*T2^12 - 11*T1^11*T2^12 - 
      120*T1^12*T2^12 + 53*T1^13*T2^12 - 13*T1^14*T2^12 - 4*T1^15*T2^12 + 
      15*T1^16*T2^12 - 14*T1^5*T2^13 + 20*T1^6*T2^13 - 20*T1^7*T2^13 + 
      2*T1^8*T2^13 + 53*T1^9*T2^13 + 11*T1^10*T2^13 + 11*T1^11*T2^13 + 
      53*T1^12*T2^13 + 2*T1^13*T2^13 - 20*T1^14*T2^13 + 20*T1^15*T2^13 - 
      14*T1^16*T2^13 + 9*T1^6*T2^14 - 20*T1^7*T2^14 + 27*T1^8*T2^14 - 
      20*T1^9*T2^14 - 13*T1^10*T2^14 - T1^11*T2^14 - 13*T1^12*T2^14 - 
      20*T1^13*T2^14 + 27*T1^14*T2^14 - 20*T1^15*T2^14 + 9*T1^16*T2^14 - 
      4*T1^7*T2^15 + 12*T1^8*T2^15 - 20*T1^9*T2^15 + 20*T1^10*T2^15 - 
      4*T1^11*T2^15 - 4*T1^12*T2^15 + 20*T1^13*T2^15 - 20*T1^14*T2^15 + 
      12*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 
      9*T1^10*T2^16 - 14*T1^11*T2^16 + 15*T1^12*T2^16 - 14*T1^13*T2^16 + 
      9*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 788] -> 
  {-((2 - 10*T + 25*T^2 - 35*T^3 + 25*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((1 - 4*T1 + 10*T1^2 - 15*T1^3 + 10*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 
      12*T1*T2 - 23*T1^2*T2 + 19*T1^3*T2 + 19*T1^4*T2 - 23*T1^5*T2 + 
      12*T1^6*T2 - 4*T1^7*T2 + 10*T2^2 - 23*T1*T2^2 + 47*T1^2*T2^2 - 
      59*T1^3*T2^2 + 7*T1^4*T2^2 - 59*T1^5*T2^2 + 47*T1^6*T2^2 - 
      23*T1^7*T2^2 + 10*T1^8*T2^2 - 15*T2^3 + 19*T1*T2^3 - 59*T1^2*T2^3 + 
      70*T1^3*T2^3 + 73*T1^4*T2^3 + 73*T1^5*T2^3 + 70*T1^6*T2^3 - 
      59*T1^7*T2^3 + 19*T1^8*T2^3 - 15*T1^9*T2^3 + 10*T2^4 + 19*T1*T2^4 + 
      7*T1^2*T2^4 + 73*T1^3*T2^4 - 184*T1^4*T2^4 - 340*T1^5*T2^4 - 
      184*T1^6*T2^4 + 73*T1^7*T2^4 + 7*T1^8*T2^4 + 19*T1^9*T2^4 + 
      10*T1^10*T2^4 - 4*T2^5 - 23*T1*T2^5 - 59*T1^2*T2^5 + 73*T1^3*T2^5 - 
      340*T1^4*T2^5 + 806*T1^5*T2^5 + 806*T1^6*T2^5 - 340*T1^7*T2^5 + 
      73*T1^8*T2^5 - 59*T1^9*T2^5 - 23*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 
      12*T1*T2^6 + 47*T1^2*T2^6 + 70*T1^3*T2^6 - 184*T1^4*T2^6 + 
      806*T1^5*T2^6 - 2616*T1^6*T2^6 + 806*T1^7*T2^6 - 184*T1^8*T2^6 + 
      70*T1^9*T2^6 + 47*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 
      23*T1^2*T2^7 - 59*T1^3*T2^7 + 73*T1^4*T2^7 - 340*T1^5*T2^7 + 
      806*T1^6*T2^7 + 806*T1^7*T2^7 - 340*T1^8*T2^7 + 73*T1^9*T2^7 - 
      59*T1^10*T2^7 - 23*T1^11*T2^7 - 4*T1^12*T2^7 + 10*T1^2*T2^8 + 
      19*T1^3*T2^8 + 7*T1^4*T2^8 + 73*T1^5*T2^8 - 184*T1^6*T2^8 - 
      340*T1^7*T2^8 - 184*T1^8*T2^8 + 73*T1^9*T2^8 + 7*T1^10*T2^8 + 
      19*T1^11*T2^8 + 10*T1^12*T2^8 - 15*T1^3*T2^9 + 19*T1^4*T2^9 - 
      59*T1^5*T2^9 + 70*T1^6*T2^9 + 73*T1^7*T2^9 + 73*T1^8*T2^9 + 
      70*T1^9*T2^9 - 59*T1^10*T2^9 + 19*T1^11*T2^9 - 15*T1^12*T2^9 + 
      10*T1^4*T2^10 - 23*T1^5*T2^10 + 47*T1^6*T2^10 - 59*T1^7*T2^10 + 
      7*T1^8*T2^10 - 59*T1^9*T2^10 + 47*T1^10*T2^10 - 23*T1^11*T2^10 + 
      10*T1^12*T2^10 - 4*T1^5*T2^11 + 12*T1^6*T2^11 - 23*T1^7*T2^11 + 
      19*T1^8*T2^11 + 19*T1^9*T2^11 - 23*T1^10*T2^11 + 12*T1^11*T2^11 - 
      4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 10*T1^8*T2^12 - 
      15*T1^9*T2^12 + 10*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, NonAlternating, 789] -> 
  {-((2 - 9*T + 20*T^2 - 27*T^3 + 20*T^4 - 9*T^5 + 2*T^6)/T^3), 
   (1 - 5*T1 + 12*T1^2 - 17*T1^3 + 12*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     18*T1*T2 - 29*T1^2*T2 + 21*T1^3*T2 + 21*T1^4*T2 - 29*T1^5*T2 + 
     18*T1^6*T2 - 5*T1^7*T2 + 12*T2^2 - 29*T1*T2^2 + 50*T1^2*T2^2 - 
     88*T1^3*T2^2 + 48*T1^4*T2^2 - 88*T1^5*T2^2 + 50*T1^6*T2^2 - 
     29*T1^7*T2^2 + 12*T1^8*T2^2 - 17*T2^3 + 21*T1*T2^3 - 88*T1^2*T2^3 + 
     226*T1^3*T2^3 - 16*T1^4*T2^3 - 16*T1^5*T2^3 + 226*T1^6*T2^3 - 
     88*T1^7*T2^3 + 21*T1^8*T2^3 - 17*T1^9*T2^3 + 12*T2^4 + 21*T1*T2^4 + 
     48*T1^2*T2^4 - 16*T1^3*T2^4 - 697*T1^4*T2^4 + 601*T1^5*T2^4 - 
     697*T1^6*T2^4 - 16*T1^7*T2^4 + 48*T1^8*T2^4 + 21*T1^9*T2^4 + 
     12*T1^10*T2^4 - 5*T2^5 - 29*T1*T2^5 - 88*T1^2*T2^5 - 16*T1^3*T2^5 + 
     601*T1^4*T2^5 + 118*T1^5*T2^5 + 118*T1^6*T2^5 + 601*T1^7*T2^5 - 
     16*T1^8*T2^5 - 88*T1^9*T2^5 - 29*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     18*T1*T2^6 + 50*T1^2*T2^6 + 226*T1^3*T2^6 - 697*T1^4*T2^6 + 
     118*T1^5*T2^6 - 828*T1^6*T2^6 + 118*T1^7*T2^6 - 697*T1^8*T2^6 + 
     226*T1^9*T2^6 + 50*T1^10*T2^6 + 18*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     29*T1^2*T2^7 - 88*T1^3*T2^7 - 16*T1^4*T2^7 + 601*T1^5*T2^7 + 
     118*T1^6*T2^7 + 118*T1^7*T2^7 + 601*T1^8*T2^7 - 16*T1^9*T2^7 - 
     88*T1^10*T2^7 - 29*T1^11*T2^7 - 5*T1^12*T2^7 + 12*T1^2*T2^8 + 
     21*T1^3*T2^8 + 48*T1^4*T2^8 - 16*T1^5*T2^8 - 697*T1^6*T2^8 + 
     601*T1^7*T2^8 - 697*T1^8*T2^8 - 16*T1^9*T2^8 + 48*T1^10*T2^8 + 
     21*T1^11*T2^8 + 12*T1^12*T2^8 - 17*T1^3*T2^9 + 21*T1^4*T2^9 - 
     88*T1^5*T2^9 + 226*T1^6*T2^9 - 16*T1^7*T2^9 - 16*T1^8*T2^9 + 
     226*T1^9*T2^9 - 88*T1^10*T2^9 + 21*T1^11*T2^9 - 17*T1^12*T2^9 + 
     12*T1^4*T2^10 - 29*T1^5*T2^10 + 50*T1^6*T2^10 - 88*T1^7*T2^10 + 
     48*T1^8*T2^10 - 88*T1^9*T2^10 + 50*T1^10*T2^10 - 29*T1^11*T2^10 + 
     12*T1^12*T2^10 - 5*T1^5*T2^11 + 18*T1^6*T2^11 - 29*T1^7*T2^11 + 
     21*T1^8*T2^11 + 21*T1^9*T2^11 - 29*T1^10*T2^11 + 18*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 12*T1^8*T2^12 - 
     17*T1^9*T2^12 + 12*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   (1 - 6*T1 + 13*T1^2 - 17*T1^3 + 13*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
     24*T1*T2 - 31*T1^2*T2 + 16*T1^3*T2 + 16*T1^4*T2 - 31*T1^5*T2 + 
     24*T1^6*T2 - 6*T1^7*T2 + 13*T2^2 - 31*T1*T2^2 - 12*T1^2*T2^2 + 
     78*T1^3*T2^2 - 118*T1^4*T2^2 + 78*T1^5*T2^2 - 12*T1^6*T2^2 - 
     31*T1^7*T2^2 + 13*T1^8*T2^2 - 17*T2^3 + 16*T1*T2^3 + 78*T1^2*T2^3 - 
     102*T1^3*T2^3 + 55*T1^4*T2^3 + 55*T1^5*T2^3 - 102*T1^6*T2^3 + 
     78*T1^7*T2^3 + 16*T1^8*T2^3 - 17*T1^9*T2^3 + 13*T2^4 + 16*T1*T2^4 - 
     118*T1^2*T2^4 + 55*T1^3*T2^4 - 30*T1^4*T2^4 + 2*T1^5*T2^4 - 
     30*T1^6*T2^4 + 55*T1^7*T2^4 - 118*T1^8*T2^4 + 16*T1^9*T2^4 + 
     13*T1^10*T2^4 - 6*T2^5 - 31*T1*T2^5 + 78*T1^2*T2^5 + 55*T1^3*T2^5 + 
     2*T1^4*T2^5 + 2*T1^5*T2^5 + 2*T1^6*T2^5 + 2*T1^7*T2^5 + 55*T1^8*T2^5 + 
     78*T1^9*T2^5 - 31*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 24*T1*T2^6 - 
     12*T1^2*T2^6 - 102*T1^3*T2^6 - 30*T1^4*T2^6 + 2*T1^5*T2^6 + 
     2*T1^7*T2^6 - 30*T1^8*T2^6 - 102*T1^9*T2^6 - 12*T1^10*T2^6 + 
     24*T1^11*T2^6 + T1^12*T2^6 - 6*T1*T2^7 - 31*T1^2*T2^7 + 78*T1^3*T2^7 + 
     55*T1^4*T2^7 + 2*T1^5*T2^7 + 2*T1^6*T2^7 + 2*T1^7*T2^7 + 2*T1^8*T2^7 + 
     55*T1^9*T2^7 + 78*T1^10*T2^7 - 31*T1^11*T2^7 - 6*T1^12*T2^7 + 
     13*T1^2*T2^8 + 16*T1^3*T2^8 - 118*T1^4*T2^8 + 55*T1^5*T2^8 - 
     30*T1^6*T2^8 + 2*T1^7*T2^8 - 30*T1^8*T2^8 + 55*T1^9*T2^8 - 
     118*T1^10*T2^8 + 16*T1^11*T2^8 + 13*T1^12*T2^8 - 17*T1^3*T2^9 + 
     16*T1^4*T2^9 + 78*T1^5*T2^9 - 102*T1^6*T2^9 + 55*T1^7*T2^9 + 
     55*T1^8*T2^9 - 102*T1^9*T2^9 + 78*T1^10*T2^9 + 16*T1^11*T2^9 - 
     17*T1^12*T2^9 + 13*T1^4*T2^10 - 31*T1^5*T2^10 - 12*T1^6*T2^10 + 
     78*T1^7*T2^10 - 118*T1^8*T2^10 + 78*T1^9*T2^10 - 12*T1^10*T2^10 - 
     31*T1^11*T2^10 + 13*T1^12*T2^10 - 6*T1^5*T2^11 + 24*T1^6*T2^11 - 
     31*T1^7*T2^11 + 16*T1^8*T2^11 + 16*T1^9*T2^11 - 31*T1^10*T2^11 + 
     24*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)/(T1^6*T2^6)}, 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, 
   (2 - 10*T1 + 26*T1^2 - 36*T1^3 + 38*T1^4 - 36*T1^5 + 26*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 80*T1^2*T2 + 50*T1^3*T2 - 10*T1^4*T2 - 
     10*T1^5*T2 + 50*T1^6*T2 - 80*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     26*T2^2 - 80*T1*T2^2 + 109*T1^2*T2^2 + 72*T1^3*T2^2 - 113*T1^4*T2^2 + 
     71*T1^5*T2^2 - 113*T1^6*T2^2 + 72*T1^7*T2^2 + 109*T1^8*T2^2 - 
     80*T1^9*T2^2 + 26*T1^10*T2^2 - 36*T2^3 + 50*T1*T2^3 + 72*T1^2*T2^3 - 
     470*T1^3*T2^3 + 214*T1^4*T2^3 + 19*T1^5*T2^3 + 19*T1^6*T2^3 + 
     214*T1^7*T2^3 - 470*T1^8*T2^3 + 72*T1^9*T2^3 + 50*T1^10*T2^3 - 
     36*T1^11*T2^3 + 38*T2^4 - 10*T1*T2^4 - 113*T1^2*T2^4 + 214*T1^3*T2^4 + 
     873*T1^4*T2^4 - 1116*T1^5*T2^4 + 869*T1^6*T2^4 - 1116*T1^7*T2^4 + 
     873*T1^8*T2^4 + 214*T1^9*T2^4 - 113*T1^10*T2^4 - 10*T1^11*T2^4 + 
     38*T1^12*T2^4 - 36*T2^5 - 10*T1*T2^5 + 71*T1^2*T2^5 + 19*T1^3*T2^5 - 
     1116*T1^4*T2^5 + 426*T1^5*T2^5 + 135*T1^6*T2^5 + 135*T1^7*T2^5 + 
     426*T1^8*T2^5 - 1116*T1^9*T2^5 + 19*T1^10*T2^5 + 71*T1^11*T2^5 - 
     10*T1^12*T2^5 - 36*T1^13*T2^5 + 26*T2^6 + 50*T1*T2^6 - 113*T1^2*T2^6 + 
     19*T1^3*T2^6 + 869*T1^4*T2^6 + 135*T1^5*T2^6 - 167*T1^6*T2^6 - 
     311*T1^7*T2^6 - 167*T1^8*T2^6 + 135*T1^9*T2^6 + 869*T1^10*T2^6 + 
     19*T1^11*T2^6 - 113*T1^12*T2^6 + 50*T1^13*T2^6 + 26*T1^14*T2^6 - 
     10*T2^7 - 80*T1*T2^7 + 72*T1^2*T2^7 + 214*T1^3*T2^7 - 1116*T1^4*T2^7 + 
     135*T1^5*T2^7 - 311*T1^6*T2^7 + 342*T1^7*T2^7 + 342*T1^8*T2^7 - 
     311*T1^9*T2^7 + 135*T1^10*T2^7 - 1116*T1^11*T2^7 + 214*T1^12*T2^7 + 
     72*T1^13*T2^7 - 80*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 + 
     109*T1^2*T2^8 - 470*T1^3*T2^8 + 873*T1^4*T2^8 + 426*T1^5*T2^8 - 
     167*T1^6*T2^8 + 342*T1^7*T2^8 - 744*T1^8*T2^8 + 342*T1^9*T2^8 - 
     167*T1^10*T2^8 + 426*T1^11*T2^8 + 873*T1^12*T2^8 - 470*T1^13*T2^8 + 
     109*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     80*T1^2*T2^9 + 72*T1^3*T2^9 + 214*T1^4*T2^9 - 1116*T1^5*T2^9 + 
     135*T1^6*T2^9 - 311*T1^7*T2^9 + 342*T1^8*T2^9 + 342*T1^9*T2^9 - 
     311*T1^10*T2^9 + 135*T1^11*T2^9 - 1116*T1^12*T2^9 + 214*T1^13*T2^9 + 
     72*T1^14*T2^9 - 80*T1^15*T2^9 - 10*T1^16*T2^9 + 26*T1^2*T2^10 + 
     50*T1^3*T2^10 - 113*T1^4*T2^10 + 19*T1^5*T2^10 + 869*T1^6*T2^10 + 
     135*T1^7*T2^10 - 167*T1^8*T2^10 - 311*T1^9*T2^10 - 167*T1^10*T2^10 + 
     135*T1^11*T2^10 + 869*T1^12*T2^10 + 19*T1^13*T2^10 - 113*T1^14*T2^10 + 
     50*T1^15*T2^10 + 26*T1^16*T2^10 - 36*T1^3*T2^11 - 10*T1^4*T2^11 + 
     71*T1^5*T2^11 + 19*T1^6*T2^11 - 1116*T1^7*T2^11 + 426*T1^8*T2^11 + 
     135*T1^9*T2^11 + 135*T1^10*T2^11 + 426*T1^11*T2^11 - 1116*T1^12*T2^11 + 
     19*T1^13*T2^11 + 71*T1^14*T2^11 - 10*T1^15*T2^11 - 36*T1^16*T2^11 + 
     38*T1^4*T2^12 - 10*T1^5*T2^12 - 113*T1^6*T2^12 + 214*T1^7*T2^12 + 
     873*T1^8*T2^12 - 1116*T1^9*T2^12 + 869*T1^10*T2^12 - 1116*T1^11*T2^12 + 
     873*T1^12*T2^12 + 214*T1^13*T2^12 - 113*T1^14*T2^12 - 10*T1^15*T2^12 + 
     38*T1^16*T2^12 - 36*T1^5*T2^13 + 50*T1^6*T2^13 + 72*T1^7*T2^13 - 
     470*T1^8*T2^13 + 214*T1^9*T2^13 + 19*T1^10*T2^13 + 19*T1^11*T2^13 + 
     214*T1^12*T2^13 - 470*T1^13*T2^13 + 72*T1^14*T2^13 + 50*T1^15*T2^13 - 
     36*T1^16*T2^13 + 26*T1^6*T2^14 - 80*T1^7*T2^14 + 109*T1^8*T2^14 + 
     72*T1^9*T2^14 - 113*T1^10*T2^14 + 71*T1^11*T2^14 - 113*T1^12*T2^14 + 
     72*T1^13*T2^14 + 109*T1^14*T2^14 - 80*T1^15*T2^14 + 26*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 80*T1^9*T2^15 + 50*T1^10*T2^15 - 
     10*T1^11*T2^15 - 10*T1^12*T2^15 + 50*T1^13*T2^15 - 80*T1^14*T2^15 + 
     40*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)/(T1^8*T2^8)}, 
 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), (1 - 4*T1 + 10*T1^2 - 16*T1^3 + 17*T1^4 - 16*T1^5 + 10*T1^6 - 
     4*T1^7 + T1^8 - 4*T2 + 12*T1*T2 - 24*T1^2*T2 + 24*T1^3*T2 - 4*T1^4*T2 - 
     4*T1^5*T2 + 24*T1^6*T2 - 24*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 10*T2^2 - 
     24*T1*T2^2 + 48*T1^2*T2^2 - 43*T1^3*T2^2 + 10*T1^4*T2^2 - 38*T1^5*T2^2 + 
     10*T1^6*T2^2 - 43*T1^7*T2^2 + 48*T1^8*T2^2 - 24*T1^9*T2^2 + 
     10*T1^10*T2^2 - 16*T2^3 + 24*T1*T2^3 - 43*T1^2*T2^3 - 4*T1^3*T2^3 + 
     61*T1^4*T2^3 + 32*T1^5*T2^3 + 32*T1^6*T2^3 + 61*T1^7*T2^3 - 
     4*T1^8*T2^3 - 43*T1^9*T2^3 + 24*T1^10*T2^3 - 16*T1^11*T2^3 + 17*T2^4 - 
     4*T1*T2^4 + 10*T1^2*T2^4 + 61*T1^3*T2^4 - 46*T1^4*T2^4 - 163*T1^5*T2^4 + 
     22*T1^6*T2^4 - 163*T1^7*T2^4 - 46*T1^8*T2^4 + 61*T1^9*T2^4 + 
     10*T1^10*T2^4 - 4*T1^11*T2^4 + 17*T1^12*T2^4 - 16*T2^5 - 4*T1*T2^5 - 
     38*T1^2*T2^5 + 32*T1^3*T2^5 - 163*T1^4*T2^5 + 332*T1^5*T2^5 + 
     37*T1^6*T2^5 + 37*T1^7*T2^5 + 332*T1^8*T2^5 - 163*T1^9*T2^5 + 
     32*T1^10*T2^5 - 38*T1^11*T2^5 - 4*T1^12*T2^5 - 16*T1^13*T2^5 + 10*T2^6 + 
     24*T1*T2^6 + 10*T1^2*T2^6 + 32*T1^3*T2^6 + 22*T1^4*T2^6 + 37*T1^5*T2^6 - 
     582*T1^6*T2^6 + 446*T1^7*T2^6 - 582*T1^8*T2^6 + 37*T1^9*T2^6 + 
     22*T1^10*T2^6 + 32*T1^11*T2^6 + 10*T1^12*T2^6 + 24*T1^13*T2^6 + 
     10*T1^14*T2^6 - 4*T2^7 - 24*T1*T2^7 - 43*T1^2*T2^7 + 61*T1^3*T2^7 - 
     163*T1^4*T2^7 + 37*T1^5*T2^7 + 446*T1^6*T2^7 - 74*T1^7*T2^7 - 
     74*T1^8*T2^7 + 446*T1^9*T2^7 + 37*T1^10*T2^7 - 163*T1^11*T2^7 + 
     61*T1^12*T2^7 - 43*T1^13*T2^7 - 24*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 
     12*T1*T2^8 + 48*T1^2*T2^8 - 4*T1^3*T2^8 - 46*T1^4*T2^8 + 332*T1^5*T2^8 - 
     582*T1^6*T2^8 - 74*T1^7*T2^8 + 156*T1^8*T2^8 - 74*T1^9*T2^8 - 
     582*T1^10*T2^8 + 332*T1^11*T2^8 - 46*T1^12*T2^8 - 4*T1^13*T2^8 + 
     48*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 24*T1^2*T2^9 - 
     43*T1^3*T2^9 + 61*T1^4*T2^9 - 163*T1^5*T2^9 + 37*T1^6*T2^9 + 
     446*T1^7*T2^9 - 74*T1^8*T2^9 - 74*T1^9*T2^9 + 446*T1^10*T2^9 + 
     37*T1^11*T2^9 - 163*T1^12*T2^9 + 61*T1^13*T2^9 - 43*T1^14*T2^9 - 
     24*T1^15*T2^9 - 4*T1^16*T2^9 + 10*T1^2*T2^10 + 24*T1^3*T2^10 + 
     10*T1^4*T2^10 + 32*T1^5*T2^10 + 22*T1^6*T2^10 + 37*T1^7*T2^10 - 
     582*T1^8*T2^10 + 446*T1^9*T2^10 - 582*T1^10*T2^10 + 37*T1^11*T2^10 + 
     22*T1^12*T2^10 + 32*T1^13*T2^10 + 10*T1^14*T2^10 + 24*T1^15*T2^10 + 
     10*T1^16*T2^10 - 16*T1^3*T2^11 - 4*T1^4*T2^11 - 38*T1^5*T2^11 + 
     32*T1^6*T2^11 - 163*T1^7*T2^11 + 332*T1^8*T2^11 + 37*T1^9*T2^11 + 
     37*T1^10*T2^11 + 332*T1^11*T2^11 - 163*T1^12*T2^11 + 32*T1^13*T2^11 - 
     38*T1^14*T2^11 - 4*T1^15*T2^11 - 16*T1^16*T2^11 + 17*T1^4*T2^12 - 
     4*T1^5*T2^12 + 10*T1^6*T2^12 + 61*T1^7*T2^12 - 46*T1^8*T2^12 - 
     163*T1^9*T2^12 + 22*T1^10*T2^12 - 163*T1^11*T2^12 - 46*T1^12*T2^12 + 
     61*T1^13*T2^12 + 10*T1^14*T2^12 - 4*T1^15*T2^12 + 17*T1^16*T2^12 - 
     16*T1^5*T2^13 + 24*T1^6*T2^13 - 43*T1^7*T2^13 - 4*T1^8*T2^13 + 
     61*T1^9*T2^13 + 32*T1^10*T2^13 + 32*T1^11*T2^13 + 61*T1^12*T2^13 - 
     4*T1^13*T2^13 - 43*T1^14*T2^13 + 24*T1^15*T2^13 - 16*T1^16*T2^13 + 
     10*T1^6*T2^14 - 24*T1^7*T2^14 + 48*T1^8*T2^14 - 43*T1^9*T2^14 + 
     10*T1^10*T2^14 - 38*T1^11*T2^14 + 10*T1^12*T2^14 - 43*T1^13*T2^14 + 
     48*T1^14*T2^14 - 24*T1^15*T2^14 + 10*T1^16*T2^14 - 4*T1^7*T2^15 + 
     12*T1^8*T2^15 - 24*T1^9*T2^15 + 24*T1^10*T2^15 - 4*T1^11*T2^15 - 
     4*T1^12*T2^15 + 24*T1^13*T2^15 - 24*T1^14*T2^15 + 12*T1^15*T2^15 - 
     4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 10*T1^10*T2^16 - 
     16*T1^11*T2^16 + 17*T1^12*T2^16 - 16*T1^13*T2^16 + 10*T1^14*T2^16 - 
     4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 793] -> 
  {-((3 - 9*T + 12*T^2 - 13*T^3 + 12*T^4 - 9*T^5 + 3*T^6)/T^3), 
   -((57 - 168*T1 + 221*T1^2 - 239*T1^3 + 221*T1^4 - 168*T1^5 + 57*T1^6 - 
      168*T2 + 326*T1*T2 - 154*T1^2*T2 + 52*T1^3*T2 + 52*T1^4*T2 - 
      154*T1^5*T2 + 326*T1^6*T2 - 168*T1^7*T2 + 221*T2^2 - 154*T1*T2^2 - 
      414*T1^2*T2^2 + 431*T1^3*T2^2 - 466*T1^4*T2^2 + 431*T1^5*T2^2 - 
      414*T1^6*T2^2 - 154*T1^7*T2^2 + 221*T1^8*T2^2 - 239*T2^3 + 52*T1*T2^3 + 
      431*T1^2*T2^3 - 20*T1^3*T2^3 + 36*T1^4*T2^3 + 36*T1^5*T2^3 - 
      20*T1^6*T2^3 + 431*T1^7*T2^3 + 52*T1^8*T2^3 - 239*T1^9*T2^3 + 
      221*T2^4 + 52*T1*T2^4 - 466*T1^2*T2^4 + 36*T1^3*T2^4 - 333*T1^4*T2^4 + 
      269*T1^5*T2^4 - 333*T1^6*T2^4 + 36*T1^7*T2^4 - 466*T1^8*T2^4 + 
      52*T1^9*T2^4 + 221*T1^10*T2^4 - 168*T2^5 - 154*T1*T2^5 + 
      431*T1^2*T2^5 + 36*T1^3*T2^5 + 269*T1^4*T2^5 + 2*T1^5*T2^5 + 
      2*T1^6*T2^5 + 269*T1^7*T2^5 + 36*T1^8*T2^5 + 431*T1^9*T2^5 - 
      154*T1^10*T2^5 - 168*T1^11*T2^5 + 57*T2^6 + 326*T1*T2^6 - 
      414*T1^2*T2^6 - 20*T1^3*T2^6 - 333*T1^4*T2^6 + 2*T1^5*T2^6 - 
      108*T1^6*T2^6 + 2*T1^7*T2^6 - 333*T1^8*T2^6 - 20*T1^9*T2^6 - 
      414*T1^10*T2^6 + 326*T1^11*T2^6 + 57*T1^12*T2^6 - 168*T1*T2^7 - 
      154*T1^2*T2^7 + 431*T1^3*T2^7 + 36*T1^4*T2^7 + 269*T1^5*T2^7 + 
      2*T1^6*T2^7 + 2*T1^7*T2^7 + 269*T1^8*T2^7 + 36*T1^9*T2^7 + 
      431*T1^10*T2^7 - 154*T1^11*T2^7 - 168*T1^12*T2^7 + 221*T1^2*T2^8 + 
      52*T1^3*T2^8 - 466*T1^4*T2^8 + 36*T1^5*T2^8 - 333*T1^6*T2^8 + 
      269*T1^7*T2^8 - 333*T1^8*T2^8 + 36*T1^9*T2^8 - 466*T1^10*T2^8 + 
      52*T1^11*T2^8 + 221*T1^12*T2^8 - 239*T1^3*T2^9 + 52*T1^4*T2^9 + 
      431*T1^5*T2^9 - 20*T1^6*T2^9 + 36*T1^7*T2^9 + 36*T1^8*T2^9 - 
      20*T1^9*T2^9 + 431*T1^10*T2^9 + 52*T1^11*T2^9 - 239*T1^12*T2^9 + 
      221*T1^4*T2^10 - 154*T1^5*T2^10 - 414*T1^6*T2^10 + 431*T1^7*T2^10 - 
      466*T1^8*T2^10 + 431*T1^9*T2^10 - 414*T1^10*T2^10 - 154*T1^11*T2^10 + 
      221*T1^12*T2^10 - 168*T1^5*T2^11 + 326*T1^6*T2^11 - 154*T1^7*T2^11 + 
      52*T1^8*T2^11 + 52*T1^9*T2^11 - 154*T1^10*T2^11 + 326*T1^11*T2^11 - 
      168*T1^12*T2^11 + 57*T1^6*T2^12 - 168*T1^7*T2^12 + 221*T1^8*T2^12 - 
      239*T1^9*T2^12 + 221*T1^10*T2^12 - 168*T1^11*T2^12 + 57*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, NonAlternating, 794] -> 
  {-((2 - 9*T + 23*T^2 - 33*T^3 + 23*T^4 - 9*T^5 + 2*T^6)/T^3), 
   (1 - 4*T1 + 10*T1^2 - 15*T1^3 + 10*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 
     12*T1*T2 - 24*T1^2*T2 + 20*T1^3*T2 + 20*T1^4*T2 - 24*T1^5*T2 + 
     12*T1^6*T2 - 4*T1^7*T2 + 10*T2^2 - 24*T1*T2^2 + 68*T1^2*T2^2 - 
     99*T1^3*T2^2 + 52*T1^4*T2^2 - 99*T1^5*T2^2 + 68*T1^6*T2^2 - 
     24*T1^7*T2^2 + 10*T1^8*T2^2 - 15*T2^3 + 20*T1*T2^3 - 99*T1^2*T2^3 + 
     104*T1^3*T2^3 + 53*T1^4*T2^3 + 53*T1^5*T2^3 + 104*T1^6*T2^3 - 
     99*T1^7*T2^3 + 20*T1^8*T2^3 - 15*T1^9*T2^3 + 10*T2^4 + 20*T1*T2^4 + 
     52*T1^2*T2^4 + 53*T1^3*T2^4 - 160*T1^4*T2^4 - 240*T1^5*T2^4 - 
     160*T1^6*T2^4 + 53*T1^7*T2^4 + 52*T1^8*T2^4 + 20*T1^9*T2^4 + 
     10*T1^10*T2^4 - 4*T2^5 - 24*T1*T2^5 - 99*T1^2*T2^5 + 53*T1^3*T2^5 - 
     240*T1^4*T2^5 + 550*T1^5*T2^5 + 550*T1^6*T2^5 - 240*T1^7*T2^5 + 
     53*T1^8*T2^5 - 99*T1^9*T2^5 - 24*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 
     12*T1*T2^6 + 68*T1^2*T2^6 + 104*T1^3*T2^6 - 160*T1^4*T2^6 + 
     550*T1^5*T2^6 - 1704*T1^6*T2^6 + 550*T1^7*T2^6 - 160*T1^8*T2^6 + 
     104*T1^9*T2^6 + 68*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 
     24*T1^2*T2^7 - 99*T1^3*T2^7 + 53*T1^4*T2^7 - 240*T1^5*T2^7 + 
     550*T1^6*T2^7 + 550*T1^7*T2^7 - 240*T1^8*T2^7 + 53*T1^9*T2^7 - 
     99*T1^10*T2^7 - 24*T1^11*T2^7 - 4*T1^12*T2^7 + 10*T1^2*T2^8 + 
     20*T1^3*T2^8 + 52*T1^4*T2^8 + 53*T1^5*T2^8 - 160*T1^6*T2^8 - 
     240*T1^7*T2^8 - 160*T1^8*T2^8 + 53*T1^9*T2^8 + 52*T1^10*T2^8 + 
     20*T1^11*T2^8 + 10*T1^12*T2^8 - 15*T1^3*T2^9 + 20*T1^4*T2^9 - 
     99*T1^5*T2^9 + 104*T1^6*T2^9 + 53*T1^7*T2^9 + 53*T1^8*T2^9 + 
     104*T1^9*T2^9 - 99*T1^10*T2^9 + 20*T1^11*T2^9 - 15*T1^12*T2^9 + 
     10*T1^4*T2^10 - 24*T1^5*T2^10 + 68*T1^6*T2^10 - 99*T1^7*T2^10 + 
     52*T1^8*T2^10 - 99*T1^9*T2^10 + 68*T1^10*T2^10 - 24*T1^11*T2^10 + 
     10*T1^12*T2^10 - 4*T1^5*T2^11 + 12*T1^6*T2^11 - 24*T1^7*T2^11 + 
     20*T1^8*T2^11 + 20*T1^9*T2^11 - 24*T1^10*T2^11 + 12*T1^11*T2^11 - 
     4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 10*T1^8*T2^12 - 
     15*T1^9*T2^12 + 10*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 795] -> 
  {-((6 - 20*T + 27*T^2 - 20*T^3 + 6*T^4)/T^2), 
   -((267 - 861*T1 + 1139*T1^2 - 861*T1^3 + 267*T1^4 - 861*T2 + 1908*T1*T2 - 
      888*T1^2*T2 - 888*T1^3*T2 + 1908*T1^4*T2 - 861*T1^5*T2 + 1139*T2^2 - 
      888*T1*T2^2 - 3014*T1^2*T2^2 + 4616*T1^3*T2^2 - 3014*T1^4*T2^2 - 
      888*T1^5*T2^2 + 1139*T1^6*T2^2 - 861*T2^3 - 888*T1*T2^3 + 
      4616*T1^2*T2^3 - 2078*T1^3*T2^3 - 2078*T1^4*T2^3 + 4616*T1^5*T2^3 - 
      888*T1^6*T2^3 - 861*T1^7*T2^3 + 267*T2^4 + 1908*T1*T2^4 - 
      3014*T1^2*T2^4 - 2078*T1^3*T2^4 + 3960*T1^4*T2^4 - 2078*T1^5*T2^4 - 
      3014*T1^6*T2^4 + 1908*T1^7*T2^4 + 267*T1^8*T2^4 - 861*T1*T2^5 - 
      888*T1^2*T2^5 + 4616*T1^3*T2^5 - 2078*T1^4*T2^5 - 2078*T1^5*T2^5 + 
      4616*T1^6*T2^5 - 888*T1^7*T2^5 - 861*T1^8*T2^5 + 1139*T1^2*T2^6 - 
      888*T1^3*T2^6 - 3014*T1^4*T2^6 + 4616*T1^5*T2^6 - 3014*T1^6*T2^6 - 
      888*T1^7*T2^6 + 1139*T1^8*T2^6 - 861*T1^3*T2^7 + 1908*T1^4*T2^7 - 
      888*T1^5*T2^7 - 888*T1^6*T2^7 + 1908*T1^7*T2^7 - 861*T1^8*T2^7 + 
      267*T1^4*T2^8 - 861*T1^5*T2^8 + 1139*T1^6*T2^8 - 861*T1^7*T2^8 + 
      267*T1^8*T2^8)/(T1^4*T2^4))}, Knot[12, NonAlternating, 796] -> 
  {-((2 - 11*T + 22*T^2 - 27*T^3 + 22*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((17 - 92*T1 + 182*T1^2 - 223*T1^3 + 182*T1^4 - 92*T1^5 + 17*T1^6 - 
      92*T2 + 412*T1*T2 - 487*T1^2*T2 + 221*T1^3*T2 + 221*T1^4*T2 - 
      487*T1^5*T2 + 412*T1^6*T2 - 92*T1^7*T2 + 182*T2^2 - 487*T1*T2^2 - 
      673*T1^2*T2^2 + 2167*T1^3*T2^2 - 2889*T1^4*T2^2 + 2167*T1^5*T2^2 - 
      673*T1^6*T2^2 - 487*T1^7*T2^2 + 182*T1^8*T2^2 - 223*T2^3 + 
      221*T1*T2^3 + 2167*T1^2*T2^3 - 2820*T1^3*T2^3 + 1354*T1^4*T2^3 + 
      1354*T1^5*T2^3 - 2820*T1^6*T2^3 + 2167*T1^7*T2^3 + 221*T1^8*T2^3 - 
      223*T1^9*T2^3 + 182*T2^4 + 221*T1*T2^4 - 2889*T1^2*T2^4 + 
      1354*T1^3*T2^4 + 1140*T1^4*T2^4 - 2648*T1^5*T2^4 + 1140*T1^6*T2^4 + 
      1354*T1^7*T2^4 - 2889*T1^8*T2^4 + 221*T1^9*T2^4 + 182*T1^10*T2^4 - 
      92*T2^5 - 487*T1*T2^5 + 2167*T1^2*T2^5 + 1354*T1^3*T2^5 - 
      2648*T1^4*T2^5 + 1572*T1^5*T2^5 + 1572*T1^6*T2^5 - 2648*T1^7*T2^5 + 
      1354*T1^8*T2^5 + 2167*T1^9*T2^5 - 487*T1^10*T2^5 - 92*T1^11*T2^5 + 
      17*T2^6 + 412*T1*T2^6 - 673*T1^2*T2^6 - 2820*T1^3*T2^6 + 
      1140*T1^4*T2^6 + 1572*T1^5*T2^6 - 3468*T1^6*T2^6 + 1572*T1^7*T2^6 + 
      1140*T1^8*T2^6 - 2820*T1^9*T2^6 - 673*T1^10*T2^6 + 412*T1^11*T2^6 + 
      17*T1^12*T2^6 - 92*T1*T2^7 - 487*T1^2*T2^7 + 2167*T1^3*T2^7 + 
      1354*T1^4*T2^7 - 2648*T1^5*T2^7 + 1572*T1^6*T2^7 + 1572*T1^7*T2^7 - 
      2648*T1^8*T2^7 + 1354*T1^9*T2^7 + 2167*T1^10*T2^7 - 487*T1^11*T2^7 - 
      92*T1^12*T2^7 + 182*T1^2*T2^8 + 221*T1^3*T2^8 - 2889*T1^4*T2^8 + 
      1354*T1^5*T2^8 + 1140*T1^6*T2^8 - 2648*T1^7*T2^8 + 1140*T1^8*T2^8 + 
      1354*T1^9*T2^8 - 2889*T1^10*T2^8 + 221*T1^11*T2^8 + 182*T1^12*T2^8 - 
      223*T1^3*T2^9 + 221*T1^4*T2^9 + 2167*T1^5*T2^9 - 2820*T1^6*T2^9 + 
      1354*T1^7*T2^9 + 1354*T1^8*T2^9 - 2820*T1^9*T2^9 + 2167*T1^10*T2^9 + 
      221*T1^11*T2^9 - 223*T1^12*T2^9 + 182*T1^4*T2^10 - 487*T1^5*T2^10 - 
      673*T1^6*T2^10 + 2167*T1^7*T2^10 - 2889*T1^8*T2^10 + 2167*T1^9*T2^10 - 
      673*T1^10*T2^10 - 487*T1^11*T2^10 + 182*T1^12*T2^10 - 92*T1^5*T2^11 + 
      412*T1^6*T2^11 - 487*T1^7*T2^11 + 221*T1^8*T2^11 + 221*T1^9*T2^11 - 
      487*T1^10*T2^11 + 412*T1^11*T2^11 - 92*T1^12*T2^11 + 17*T1^6*T2^12 - 
      92*T1^7*T2^12 + 182*T1^8*T2^12 - 223*T1^9*T2^12 + 182*T1^10*T2^12 - 
      92*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 797] -> 
  {-((3 - 15*T + 23*T^2 - 15*T^3 + 3*T^4)/T^2), 
   -((36 - 177*T1 + 268*T1^2 - 177*T1^3 + 36*T1^4 - 177*T2 + 726*T1*T2 - 
      463*T1^2*T2 - 463*T1^3*T2 + 726*T1^4*T2 - 177*T1^5*T2 + 268*T2^2 - 
      463*T1*T2^2 - 2361*T1^2*T2^2 + 4379*T1^3*T2^2 - 2361*T1^4*T2^2 - 
      463*T1^5*T2^2 + 268*T1^6*T2^2 - 177*T2^3 - 463*T1*T2^3 + 
      4379*T1^2*T2^3 - 2940*T1^3*T2^3 - 2940*T1^4*T2^3 + 4379*T1^5*T2^3 - 
      463*T1^6*T2^3 - 177*T1^7*T2^3 + 36*T2^4 + 726*T1*T2^4 - 
      2361*T1^2*T2^4 - 2940*T1^3*T2^4 + 7032*T1^4*T2^4 - 2940*T1^5*T2^4 - 
      2361*T1^6*T2^4 + 726*T1^7*T2^4 + 36*T1^8*T2^4 - 177*T1*T2^5 - 
      463*T1^2*T2^5 + 4379*T1^3*T2^5 - 2940*T1^4*T2^5 - 2940*T1^5*T2^5 + 
      4379*T1^6*T2^5 - 463*T1^7*T2^5 - 177*T1^8*T2^5 + 268*T1^2*T2^6 - 
      463*T1^3*T2^6 - 2361*T1^4*T2^6 + 4379*T1^5*T2^6 - 2361*T1^6*T2^6 - 
      463*T1^7*T2^6 + 268*T1^8*T2^6 - 177*T1^3*T2^7 + 726*T1^4*T2^7 - 
      463*T1^5*T2^7 - 463*T1^6*T2^7 + 726*T1^7*T2^7 - 177*T1^8*T2^7 + 
      36*T1^4*T2^8 - 177*T1^5*T2^8 + 268*T1^6*T2^8 - 177*T1^7*T2^8 + 
      36*T1^8*T2^8)/(T1^4*T2^4))}, Knot[12, NonAlternating, 798] -> 
  {(1 - 7*T + 22*T^2 - 31*T^3 + 22*T^4 - 7*T^5 + T^6)/T^3, 
   -((1 - 7*T1 + 22*T1^2 - 31*T1^3 + 22*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      42*T1*T2 - 105*T1^2*T2 + 63*T1^3*T2 + 63*T1^4*T2 - 105*T1^5*T2 + 
      42*T1^6*T2 - 7*T1^7*T2 + 22*T2^2 - 105*T1*T2^2 + 156*T1^2*T2^2 + 
      246*T1^3*T2^2 - 554*T1^4*T2^2 + 246*T1^5*T2^2 + 156*T1^6*T2^2 - 
      105*T1^7*T2^2 + 22*T1^8*T2^2 - 31*T2^3 + 63*T1*T2^3 + 246*T1^2*T2^3 - 
      1266*T1^3*T2^3 + 845*T1^4*T2^3 + 845*T1^5*T2^3 - 1266*T1^6*T2^3 + 
      246*T1^7*T2^3 + 63*T1^8*T2^3 - 31*T1^9*T2^3 + 22*T2^4 + 63*T1*T2^4 - 
      554*T1^2*T2^4 + 845*T1^3*T2^4 + 2126*T1^4*T2^4 - 4372*T1^5*T2^4 + 
      2126*T1^6*T2^4 + 845*T1^7*T2^4 - 554*T1^8*T2^4 + 63*T1^9*T2^4 + 
      22*T1^10*T2^4 - 7*T2^5 - 105*T1*T2^5 + 246*T1^2*T2^5 + 845*T1^3*T2^5 - 
      4372*T1^4*T2^5 + 2906*T1^5*T2^5 + 2906*T1^6*T2^5 - 4372*T1^7*T2^5 + 
      845*T1^8*T2^5 + 246*T1^9*T2^5 - 105*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      42*T1*T2^6 + 156*T1^2*T2^6 - 1266*T1^3*T2^6 + 2126*T1^4*T2^6 + 
      2906*T1^5*T2^6 - 6816*T1^6*T2^6 + 2906*T1^7*T2^6 + 2126*T1^8*T2^6 - 
      1266*T1^9*T2^6 + 156*T1^10*T2^6 + 42*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 105*T1^2*T2^7 + 246*T1^3*T2^7 + 845*T1^4*T2^7 - 
      4372*T1^5*T2^7 + 2906*T1^6*T2^7 + 2906*T1^7*T2^7 - 4372*T1^8*T2^7 + 
      845*T1^9*T2^7 + 246*T1^10*T2^7 - 105*T1^11*T2^7 - 7*T1^12*T2^7 + 
      22*T1^2*T2^8 + 63*T1^3*T2^8 - 554*T1^4*T2^8 + 845*T1^5*T2^8 + 
      2126*T1^6*T2^8 - 4372*T1^7*T2^8 + 2126*T1^8*T2^8 + 845*T1^9*T2^8 - 
      554*T1^10*T2^8 + 63*T1^11*T2^8 + 22*T1^12*T2^8 - 31*T1^3*T2^9 + 
      63*T1^4*T2^9 + 246*T1^5*T2^9 - 1266*T1^6*T2^9 + 845*T1^7*T2^9 + 
      845*T1^8*T2^9 - 1266*T1^9*T2^9 + 246*T1^10*T2^9 + 63*T1^11*T2^9 - 
      31*T1^12*T2^9 + 22*T1^4*T2^10 - 105*T1^5*T2^10 + 156*T1^6*T2^10 + 
      246*T1^7*T2^10 - 554*T1^8*T2^10 + 246*T1^9*T2^10 + 156*T1^10*T2^10 - 
      105*T1^11*T2^10 + 22*T1^12*T2^10 - 7*T1^5*T2^11 + 42*T1^6*T2^11 - 
      105*T1^7*T2^11 + 63*T1^8*T2^11 + 63*T1^9*T2^11 - 105*T1^10*T2^11 + 
      42*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      22*T1^8*T2^12 - 31*T1^9*T2^12 + 22*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 799] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 3*T + T^2)*(1 - T + T^2))/T^3, 
   (9 - 58*T1 + 142*T1^2 - 181*T1^3 + 142*T1^4 - 58*T1^5 + 9*T1^6 - 58*T2 + 
     316*T1*T2 - 539*T1^2*T2 + 247*T1^3*T2 + 247*T1^4*T2 - 539*T1^5*T2 + 
     316*T1^6*T2 - 58*T1^7*T2 + 142*T2^2 - 539*T1*T2^2 - 59*T1^2*T2^2 + 
     2185*T1^3*T2^2 - 3063*T1^4*T2^2 + 2185*T1^5*T2^2 - 59*T1^6*T2^2 - 
     539*T1^7*T2^2 + 142*T1^8*T2^2 - 181*T2^3 + 247*T1*T2^3 + 
     2185*T1^2*T2^3 - 5138*T1^3*T2^3 + 2231*T1^4*T2^3 + 2231*T1^5*T2^3 - 
     5138*T1^6*T2^3 + 2185*T1^7*T2^3 + 247*T1^8*T2^3 - 181*T1^9*T2^3 + 
     142*T2^4 + 247*T1*T2^4 - 3063*T1^2*T2^4 + 2231*T1^3*T2^4 + 
     7015*T1^4*T2^4 - 10299*T1^5*T2^4 + 7015*T1^6*T2^4 + 2231*T1^7*T2^4 - 
     3063*T1^8*T2^4 + 247*T1^9*T2^4 + 142*T1^10*T2^4 - 58*T2^5 - 
     539*T1*T2^5 + 2185*T1^2*T2^5 + 2231*T1^3*T2^5 - 10299*T1^4*T2^5 + 
     4290*T1^5*T2^5 + 4290*T1^6*T2^5 - 10299*T1^7*T2^5 + 2231*T1^8*T2^5 + 
     2185*T1^9*T2^5 - 539*T1^10*T2^5 - 58*T1^11*T2^5 + 9*T2^6 + 316*T1*T2^6 - 
     59*T1^2*T2^6 - 5138*T1^3*T2^6 + 7015*T1^4*T2^6 + 4290*T1^5*T2^6 - 
     7836*T1^6*T2^6 + 4290*T1^7*T2^6 + 7015*T1^8*T2^6 - 5138*T1^9*T2^6 - 
     59*T1^10*T2^6 + 316*T1^11*T2^6 + 9*T1^12*T2^6 - 58*T1*T2^7 - 
     539*T1^2*T2^7 + 2185*T1^3*T2^7 + 2231*T1^4*T2^7 - 10299*T1^5*T2^7 + 
     4290*T1^6*T2^7 + 4290*T1^7*T2^7 - 10299*T1^8*T2^7 + 2231*T1^9*T2^7 + 
     2185*T1^10*T2^7 - 539*T1^11*T2^7 - 58*T1^12*T2^7 + 142*T1^2*T2^8 + 
     247*T1^3*T2^8 - 3063*T1^4*T2^8 + 2231*T1^5*T2^8 + 7015*T1^6*T2^8 - 
     10299*T1^7*T2^8 + 7015*T1^8*T2^8 + 2231*T1^9*T2^8 - 3063*T1^10*T2^8 + 
     247*T1^11*T2^8 + 142*T1^12*T2^8 - 181*T1^3*T2^9 + 247*T1^4*T2^9 + 
     2185*T1^5*T2^9 - 5138*T1^6*T2^9 + 2231*T1^7*T2^9 + 2231*T1^8*T2^9 - 
     5138*T1^9*T2^9 + 2185*T1^10*T2^9 + 247*T1^11*T2^9 - 181*T1^12*T2^9 + 
     142*T1^4*T2^10 - 539*T1^5*T2^10 - 59*T1^6*T2^10 + 2185*T1^7*T2^10 - 
     3063*T1^8*T2^10 + 2185*T1^9*T2^10 - 59*T1^10*T2^10 - 539*T1^11*T2^10 + 
     142*T1^12*T2^10 - 58*T1^5*T2^11 + 316*T1^6*T2^11 - 539*T1^7*T2^11 + 
     247*T1^8*T2^11 + 247*T1^9*T2^11 - 539*T1^10*T2^11 + 316*T1^11*T2^11 - 
     58*T1^12*T2^11 + 9*T1^6*T2^12 - 58*T1^7*T2^12 + 142*T1^8*T2^12 - 
     181*T1^9*T2^12 + 142*T1^10*T2^12 - 58*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, 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), (1 - 5*T1 + 13*T1^2 - 24*T1^3 + 29*T1^4 - 24*T1^5 + 13*T1^6 - 
     5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 40*T1^2*T2 + 55*T1^3*T2 - 25*T1^4*T2 - 
     25*T1^5*T2 + 55*T1^6*T2 - 40*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
     13*T2^2 - 40*T1*T2^2 + 54*T1^2*T2^2 - 39*T1^3*T2^2 - 83*T1^4*T2^2 + 
     140*T1^5*T2^2 - 83*T1^6*T2^2 - 39*T1^7*T2^2 + 54*T1^8*T2^2 - 
     40*T1^9*T2^2 + 13*T1^10*T2^2 - 24*T2^3 + 55*T1*T2^3 - 39*T1^2*T2^3 - 
     14*T1^3*T2^3 + 215*T1^4*T2^3 - 110*T1^5*T2^3 - 110*T1^6*T2^3 + 
     215*T1^7*T2^3 - 14*T1^8*T2^3 - 39*T1^9*T2^3 + 55*T1^10*T2^3 - 
     24*T1^11*T2^3 + 29*T2^4 - 25*T1*T2^4 - 83*T1^2*T2^4 + 215*T1^3*T2^4 - 
     462*T1^4*T2^4 + 44*T1^5*T2^4 + 164*T1^6*T2^4 + 44*T1^7*T2^4 - 
     462*T1^8*T2^4 + 215*T1^9*T2^4 - 83*T1^10*T2^4 - 25*T1^11*T2^4 + 
     29*T1^12*T2^4 - 24*T2^5 - 25*T1*T2^5 + 140*T1^2*T2^5 - 110*T1^3*T2^5 + 
     44*T1^4*T2^5 + 748*T1^5*T2^5 - 403*T1^6*T2^5 - 403*T1^7*T2^5 + 
     748*T1^8*T2^5 + 44*T1^9*T2^5 - 110*T1^10*T2^5 + 140*T1^11*T2^5 - 
     25*T1^12*T2^5 - 24*T1^13*T2^5 + 13*T2^6 + 55*T1*T2^6 - 83*T1^2*T2^6 - 
     110*T1^3*T2^6 + 164*T1^4*T2^6 - 403*T1^5*T2^6 - 1122*T1^6*T2^6 + 
     1866*T1^7*T2^6 - 1122*T1^8*T2^6 - 403*T1^9*T2^6 + 164*T1^10*T2^6 - 
     110*T1^11*T2^6 - 83*T1^12*T2^6 + 55*T1^13*T2^6 + 13*T1^14*T2^6 - 
     5*T2^7 - 40*T1*T2^7 - 39*T1^2*T2^7 + 215*T1^3*T2^7 + 44*T1^4*T2^7 - 
     403*T1^5*T2^7 + 1866*T1^6*T2^7 - 946*T1^7*T2^7 - 946*T1^8*T2^7 + 
     1866*T1^9*T2^7 - 403*T1^10*T2^7 + 44*T1^11*T2^7 + 215*T1^12*T2^7 - 
     39*T1^13*T2^7 - 40*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 
     54*T1^2*T2^8 - 14*T1^3*T2^8 - 462*T1^4*T2^8 + 748*T1^5*T2^8 - 
     1122*T1^6*T2^8 - 946*T1^7*T2^8 + 1956*T1^8*T2^8 - 946*T1^9*T2^8 - 
     1122*T1^10*T2^8 + 748*T1^11*T2^8 - 462*T1^12*T2^8 - 14*T1^13*T2^8 + 
     54*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 40*T1^2*T2^9 - 
     39*T1^3*T2^9 + 215*T1^4*T2^9 + 44*T1^5*T2^9 - 403*T1^6*T2^9 + 
     1866*T1^7*T2^9 - 946*T1^8*T2^9 - 946*T1^9*T2^9 + 1866*T1^10*T2^9 - 
     403*T1^11*T2^9 + 44*T1^12*T2^9 + 215*T1^13*T2^9 - 39*T1^14*T2^9 - 
     40*T1^15*T2^9 - 5*T1^16*T2^9 + 13*T1^2*T2^10 + 55*T1^3*T2^10 - 
     83*T1^4*T2^10 - 110*T1^5*T2^10 + 164*T1^6*T2^10 - 403*T1^7*T2^10 - 
     1122*T1^8*T2^10 + 1866*T1^9*T2^10 - 1122*T1^10*T2^10 - 403*T1^11*T2^10 + 
     164*T1^12*T2^10 - 110*T1^13*T2^10 - 83*T1^14*T2^10 + 55*T1^15*T2^10 + 
     13*T1^16*T2^10 - 24*T1^3*T2^11 - 25*T1^4*T2^11 + 140*T1^5*T2^11 - 
     110*T1^6*T2^11 + 44*T1^7*T2^11 + 748*T1^8*T2^11 - 403*T1^9*T2^11 - 
     403*T1^10*T2^11 + 748*T1^11*T2^11 + 44*T1^12*T2^11 - 110*T1^13*T2^11 + 
     140*T1^14*T2^11 - 25*T1^15*T2^11 - 24*T1^16*T2^11 + 29*T1^4*T2^12 - 
     25*T1^5*T2^12 - 83*T1^6*T2^12 + 215*T1^7*T2^12 - 462*T1^8*T2^12 + 
     44*T1^9*T2^12 + 164*T1^10*T2^12 + 44*T1^11*T2^12 - 462*T1^12*T2^12 + 
     215*T1^13*T2^12 - 83*T1^14*T2^12 - 25*T1^15*T2^12 + 29*T1^16*T2^12 - 
     24*T1^5*T2^13 + 55*T1^6*T2^13 - 39*T1^7*T2^13 - 14*T1^8*T2^13 + 
     215*T1^9*T2^13 - 110*T1^10*T2^13 - 110*T1^11*T2^13 + 215*T1^12*T2^13 - 
     14*T1^13*T2^13 - 39*T1^14*T2^13 + 55*T1^15*T2^13 - 24*T1^16*T2^13 + 
     13*T1^6*T2^14 - 40*T1^7*T2^14 + 54*T1^8*T2^14 - 39*T1^9*T2^14 - 
     83*T1^10*T2^14 + 140*T1^11*T2^14 - 83*T1^12*T2^14 - 39*T1^13*T2^14 + 
     54*T1^14*T2^14 - 40*T1^15*T2^14 + 13*T1^16*T2^14 - 5*T1^7*T2^15 + 
     20*T1^8*T2^15 - 40*T1^9*T2^15 + 55*T1^10*T2^15 - 25*T1^11*T2^15 - 
     25*T1^12*T2^15 + 55*T1^13*T2^15 - 40*T1^14*T2^15 + 20*T1^15*T2^15 - 
     5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 13*T1^10*T2^16 - 
     24*T1^11*T2^16 + 29*T1^12*T2^16 - 24*T1^13*T2^16 + 13*T1^14*T2^16 - 
     5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 801] -> {-((1 - 5*T + 7*T^2 - 5*T^3 + T^4)/T^2), 
   (1 - 3*T1 + 3*T1^2 - 3*T1^3 + T1^4 - 3*T2 - 4*T1*T2 - T1^2*T2 - T1^3*T2 - 
     4*T1^4*T2 - 3*T1^5*T2 + 3*T2^2 - T1*T2^2 + 106*T1^2*T2^2 - 
     124*T1^3*T2^2 + 106*T1^4*T2^2 - T1^5*T2^2 + 3*T1^6*T2^2 - 3*T2^3 - 
     T1*T2^3 - 124*T1^2*T2^3 + 22*T1^3*T2^3 + 22*T1^4*T2^3 - 124*T1^5*T2^3 - 
     T1^6*T2^3 - 3*T1^7*T2^3 + T2^4 - 4*T1*T2^4 + 106*T1^2*T2^4 + 
     22*T1^3*T2^4 + 24*T1^4*T2^4 + 22*T1^5*T2^4 + 106*T1^6*T2^4 - 
     4*T1^7*T2^4 + T1^8*T2^4 - 3*T1*T2^5 - T1^2*T2^5 - 124*T1^3*T2^5 + 
     22*T1^4*T2^5 + 22*T1^5*T2^5 - 124*T1^6*T2^5 - T1^7*T2^5 - 3*T1^8*T2^5 + 
     3*T1^2*T2^6 - T1^3*T2^6 + 106*T1^4*T2^6 - 124*T1^5*T2^6 + 
     106*T1^6*T2^6 - T1^7*T2^6 + 3*T1^8*T2^6 - 3*T1^3*T2^7 - 4*T1^4*T2^7 - 
     T1^5*T2^7 - T1^6*T2^7 - 4*T1^7*T2^7 - 3*T1^8*T2^7 + T1^4*T2^8 - 
     3*T1^5*T2^8 + 3*T1^6*T2^8 - 3*T1^7*T2^8 + T1^8*T2^8)/(T1^4*T2^4)}, 
 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, 
   (2 - 7*T1 + 10*T1^2 - 10*T1^3 + 10*T1^4 - 7*T1^5 + 2*T1^6 - 7*T2 + 
     16*T1*T2 - 7*T1^2*T2 - 2*T1^3*T2 - 2*T1^4*T2 - 7*T1^5*T2 + 16*T1^6*T2 - 
     7*T1^7*T2 + 10*T2^2 - 7*T1*T2^2 - 37*T1^2*T2^2 + 40*T1^3*T2^2 - 
     19*T1^4*T2^2 + 40*T1^5*T2^2 - 37*T1^6*T2^2 - 7*T1^7*T2^2 + 
     10*T1^8*T2^2 - 10*T2^3 - 2*T1*T2^3 + 40*T1^2*T2^3 + 32*T1^3*T2^3 - 
     40*T1^4*T2^3 - 40*T1^5*T2^3 + 32*T1^6*T2^3 + 40*T1^7*T2^3 - 
     2*T1^8*T2^3 - 10*T1^9*T2^3 + 10*T2^4 - 2*T1*T2^4 - 19*T1^2*T2^4 - 
     40*T1^3*T2^4 - 139*T1^4*T2^4 + 267*T1^5*T2^4 - 139*T1^6*T2^4 - 
     40*T1^7*T2^4 - 19*T1^8*T2^4 - 2*T1^9*T2^4 + 10*T1^10*T2^4 - 7*T2^5 - 
     7*T1*T2^5 + 40*T1^2*T2^5 - 40*T1^3*T2^5 + 267*T1^4*T2^5 - 
     152*T1^5*T2^5 - 152*T1^6*T2^5 + 267*T1^7*T2^5 - 40*T1^8*T2^5 + 
     40*T1^9*T2^5 - 7*T1^10*T2^5 - 7*T1^11*T2^5 + 2*T2^6 + 16*T1*T2^6 - 
     37*T1^2*T2^6 + 32*T1^3*T2^6 - 139*T1^4*T2^6 - 152*T1^5*T2^6 + 
     312*T1^6*T2^6 - 152*T1^7*T2^6 - 139*T1^8*T2^6 + 32*T1^9*T2^6 - 
     37*T1^10*T2^6 + 16*T1^11*T2^6 + 2*T1^12*T2^6 - 7*T1*T2^7 - 7*T1^2*T2^7 + 
     40*T1^3*T2^7 - 40*T1^4*T2^7 + 267*T1^5*T2^7 - 152*T1^6*T2^7 - 
     152*T1^7*T2^7 + 267*T1^8*T2^7 - 40*T1^9*T2^7 + 40*T1^10*T2^7 - 
     7*T1^11*T2^7 - 7*T1^12*T2^7 + 10*T1^2*T2^8 - 2*T1^3*T2^8 - 
     19*T1^4*T2^8 - 40*T1^5*T2^8 - 139*T1^6*T2^8 + 267*T1^7*T2^8 - 
     139*T1^8*T2^8 - 40*T1^9*T2^8 - 19*T1^10*T2^8 - 2*T1^11*T2^8 + 
     10*T1^12*T2^8 - 10*T1^3*T2^9 - 2*T1^4*T2^9 + 40*T1^5*T2^9 + 
     32*T1^6*T2^9 - 40*T1^7*T2^9 - 40*T1^8*T2^9 + 32*T1^9*T2^9 + 
     40*T1^10*T2^9 - 2*T1^11*T2^9 - 10*T1^12*T2^9 + 10*T1^4*T2^10 - 
     7*T1^5*T2^10 - 37*T1^6*T2^10 + 40*T1^7*T2^10 - 19*T1^8*T2^10 + 
     40*T1^9*T2^10 - 37*T1^10*T2^10 - 7*T1^11*T2^10 + 10*T1^12*T2^10 - 
     7*T1^5*T2^11 + 16*T1^6*T2^11 - 7*T1^7*T2^11 - 2*T1^8*T2^11 - 
     2*T1^9*T2^11 - 7*T1^10*T2^11 + 16*T1^11*T2^11 - 7*T1^12*T2^11 + 
     2*T1^6*T2^12 - 7*T1^7*T2^12 + 10*T1^8*T2^12 - 10*T1^9*T2^12 + 
     10*T1^10*T2^12 - 7*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^6*T2^6)}, 
 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, 
   (2 - 10*T1 + 28*T1^2 - 42*T1^3 + 46*T1^4 - 42*T1^5 + 28*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 90*T1^2*T2 + 70*T1^3*T2 - 20*T1^4*T2 - 
     20*T1^5*T2 + 70*T1^6*T2 - 90*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     28*T2^2 - 90*T1*T2^2 + 164*T1^2*T2^2 - 6*T1^3*T2^2 - 64*T1^4*T2^2 + 
     38*T1^5*T2^2 - 64*T1^6*T2^2 - 6*T1^7*T2^2 + 164*T1^8*T2^2 - 
     90*T1^9*T2^2 + 28*T1^10*T2^2 - 42*T2^3 + 70*T1*T2^3 - 6*T1^2*T2^3 - 
     464*T1^3*T2^3 + 307*T1^4*T2^3 - 29*T1^5*T2^3 - 29*T1^6*T2^3 + 
     307*T1^7*T2^3 - 464*T1^8*T2^3 - 6*T1^9*T2^3 + 70*T1^10*T2^3 - 
     42*T1^11*T2^3 + 46*T2^4 - 20*T1*T2^4 - 64*T1^2*T2^4 + 307*T1^3*T2^4 + 
     913*T1^4*T2^4 - 1493*T1^5*T2^4 + 1373*T1^6*T2^4 - 1493*T1^7*T2^4 + 
     913*T1^8*T2^4 + 307*T1^9*T2^4 - 64*T1^10*T2^4 - 20*T1^11*T2^4 + 
     46*T1^12*T2^4 - 42*T2^5 - 20*T1*T2^5 + 38*T1^2*T2^5 - 29*T1^3*T2^5 - 
     1493*T1^4*T2^5 + 944*T1^5*T2^5 - 50*T1^6*T2^5 - 50*T1^7*T2^5 + 
     944*T1^8*T2^5 - 1493*T1^9*T2^5 - 29*T1^10*T2^5 + 38*T1^11*T2^5 - 
     20*T1^12*T2^5 - 42*T1^13*T2^5 + 28*T2^6 + 70*T1*T2^6 - 64*T1^2*T2^6 - 
     29*T1^3*T2^6 + 1373*T1^4*T2^6 - 50*T1^5*T2^6 - 305*T1^6*T2^6 - 
     215*T1^7*T2^6 - 305*T1^8*T2^6 - 50*T1^9*T2^6 + 1373*T1^10*T2^6 - 
     29*T1^11*T2^6 - 64*T1^12*T2^6 + 70*T1^13*T2^6 + 28*T1^14*T2^6 - 
     10*T2^7 - 90*T1*T2^7 - 6*T1^2*T2^7 + 307*T1^3*T2^7 - 1493*T1^4*T2^7 - 
     50*T1^5*T2^7 - 215*T1^6*T2^7 + 458*T1^7*T2^7 + 458*T1^8*T2^7 - 
     215*T1^9*T2^7 - 50*T1^10*T2^7 - 1493*T1^11*T2^7 + 307*T1^12*T2^7 - 
     6*T1^13*T2^7 - 90*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 + 
     164*T1^2*T2^8 - 464*T1^3*T2^8 + 913*T1^4*T2^8 + 944*T1^5*T2^8 - 
     305*T1^6*T2^8 + 458*T1^7*T2^8 - 1176*T1^8*T2^8 + 458*T1^9*T2^8 - 
     305*T1^10*T2^8 + 944*T1^11*T2^8 + 913*T1^12*T2^8 - 464*T1^13*T2^8 + 
     164*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     90*T1^2*T2^9 - 6*T1^3*T2^9 + 307*T1^4*T2^9 - 1493*T1^5*T2^9 - 
     50*T1^6*T2^9 - 215*T1^7*T2^9 + 458*T1^8*T2^9 + 458*T1^9*T2^9 - 
     215*T1^10*T2^9 - 50*T1^11*T2^9 - 1493*T1^12*T2^9 + 307*T1^13*T2^9 - 
     6*T1^14*T2^9 - 90*T1^15*T2^9 - 10*T1^16*T2^9 + 28*T1^2*T2^10 + 
     70*T1^3*T2^10 - 64*T1^4*T2^10 - 29*T1^5*T2^10 + 1373*T1^6*T2^10 - 
     50*T1^7*T2^10 - 305*T1^8*T2^10 - 215*T1^9*T2^10 - 305*T1^10*T2^10 - 
     50*T1^11*T2^10 + 1373*T1^12*T2^10 - 29*T1^13*T2^10 - 64*T1^14*T2^10 + 
     70*T1^15*T2^10 + 28*T1^16*T2^10 - 42*T1^3*T2^11 - 20*T1^4*T2^11 + 
     38*T1^5*T2^11 - 29*T1^6*T2^11 - 1493*T1^7*T2^11 + 944*T1^8*T2^11 - 
     50*T1^9*T2^11 - 50*T1^10*T2^11 + 944*T1^11*T2^11 - 1493*T1^12*T2^11 - 
     29*T1^13*T2^11 + 38*T1^14*T2^11 - 20*T1^15*T2^11 - 42*T1^16*T2^11 + 
     46*T1^4*T2^12 - 20*T1^5*T2^12 - 64*T1^6*T2^12 + 307*T1^7*T2^12 + 
     913*T1^8*T2^12 - 1493*T1^9*T2^12 + 1373*T1^10*T2^12 - 1493*T1^11*T2^12 + 
     913*T1^12*T2^12 + 307*T1^13*T2^12 - 64*T1^14*T2^12 - 20*T1^15*T2^12 + 
     46*T1^16*T2^12 - 42*T1^5*T2^13 + 70*T1^6*T2^13 - 6*T1^7*T2^13 - 
     464*T1^8*T2^13 + 307*T1^9*T2^13 - 29*T1^10*T2^13 - 29*T1^11*T2^13 + 
     307*T1^12*T2^13 - 464*T1^13*T2^13 - 6*T1^14*T2^13 + 70*T1^15*T2^13 - 
     42*T1^16*T2^13 + 28*T1^6*T2^14 - 90*T1^7*T2^14 + 164*T1^8*T2^14 - 
     6*T1^9*T2^14 - 64*T1^10*T2^14 + 38*T1^11*T2^14 - 64*T1^12*T2^14 - 
     6*T1^13*T2^14 + 164*T1^14*T2^14 - 90*T1^15*T2^14 + 28*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 90*T1^9*T2^15 + 70*T1^10*T2^15 - 
     20*T1^11*T2^15 - 20*T1^12*T2^15 + 70*T1^13*T2^15 - 90*T1^14*T2^15 + 
     40*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)/(T1^8*T2^8)}, 
 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), -((1 - 4*T1 + 11*T1^2 - 20*T1^3 + 23*T1^4 - 20*T1^5 + 11*T1^6 - 
      4*T1^7 + T1^8 - 4*T2 + 12*T1*T2 - 28*T1^2*T2 + 36*T1^3*T2 - 
      12*T1^4*T2 - 12*T1^5*T2 + 36*T1^6*T2 - 28*T1^7*T2 + 12*T1^8*T2 - 
      4*T1^9*T2 + 11*T2^2 - 28*T1*T2^2 + 65*T1^2*T2^2 - 78*T1^3*T2^2 + 
      32*T1^4*T2^2 - 41*T1^5*T2^2 + 32*T1^6*T2^2 - 78*T1^7*T2^2 + 
      65*T1^8*T2^2 - 28*T1^9*T2^2 + 11*T1^10*T2^2 - 20*T2^3 + 36*T1*T2^3 - 
      78*T1^2*T2^3 + 48*T1^3*T2^3 + 58*T1^4*T2^3 + 16*T1^5*T2^3 + 
      16*T1^6*T2^3 + 58*T1^7*T2^3 + 48*T1^8*T2^3 - 78*T1^9*T2^3 + 
      36*T1^10*T2^3 - 20*T1^11*T2^3 + 23*T2^4 - 12*T1*T2^4 + 32*T1^2*T2^4 + 
      58*T1^3*T2^4 - 101*T1^4*T2^4 - 220*T1^5*T2^4 + 151*T1^6*T2^4 - 
      220*T1^7*T2^4 - 101*T1^8*T2^4 + 58*T1^9*T2^4 + 32*T1^10*T2^4 - 
      12*T1^11*T2^4 + 23*T1^12*T2^4 - 20*T2^5 - 12*T1*T2^5 - 41*T1^2*T2^5 + 
      16*T1^3*T2^5 - 220*T1^4*T2^5 + 644*T1^5*T2^5 - 94*T1^6*T2^5 - 
      94*T1^7*T2^5 + 644*T1^8*T2^5 - 220*T1^9*T2^5 + 16*T1^10*T2^5 - 
      41*T1^11*T2^5 - 12*T1^12*T2^5 - 20*T1^13*T2^5 + 11*T2^6 + 36*T1*T2^6 + 
      32*T1^2*T2^6 + 16*T1^3*T2^6 + 151*T1^4*T2^6 - 94*T1^5*T2^6 - 
      1102*T1^6*T2^6 + 1072*T1^7*T2^6 - 1102*T1^8*T2^6 - 94*T1^9*T2^6 + 
      151*T1^10*T2^6 + 16*T1^11*T2^6 + 32*T1^12*T2^6 + 36*T1^13*T2^6 + 
      11*T1^14*T2^6 - 4*T2^7 - 28*T1*T2^7 - 78*T1^2*T2^7 + 58*T1^3*T2^7 - 
      220*T1^4*T2^7 - 94*T1^5*T2^7 + 1072*T1^6*T2^7 - 188*T1^7*T2^7 - 
      188*T1^8*T2^7 + 1072*T1^9*T2^7 - 94*T1^10*T2^7 - 220*T1^11*T2^7 + 
      58*T1^12*T2^7 - 78*T1^13*T2^7 - 28*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 
      12*T1*T2^8 + 65*T1^2*T2^8 + 48*T1^3*T2^8 - 101*T1^4*T2^8 + 
      644*T1^5*T2^8 - 1102*T1^6*T2^8 - 188*T1^7*T2^8 + 132*T1^8*T2^8 - 
      188*T1^9*T2^8 - 1102*T1^10*T2^8 + 644*T1^11*T2^8 - 101*T1^12*T2^8 + 
      48*T1^13*T2^8 + 65*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 
      4*T1*T2^9 - 28*T1^2*T2^9 - 78*T1^3*T2^9 + 58*T1^4*T2^9 - 
      220*T1^5*T2^9 - 94*T1^6*T2^9 + 1072*T1^7*T2^9 - 188*T1^8*T2^9 - 
      188*T1^9*T2^9 + 1072*T1^10*T2^9 - 94*T1^11*T2^9 - 220*T1^12*T2^9 + 
      58*T1^13*T2^9 - 78*T1^14*T2^9 - 28*T1^15*T2^9 - 4*T1^16*T2^9 + 
      11*T1^2*T2^10 + 36*T1^3*T2^10 + 32*T1^4*T2^10 + 16*T1^5*T2^10 + 
      151*T1^6*T2^10 - 94*T1^7*T2^10 - 1102*T1^8*T2^10 + 1072*T1^9*T2^10 - 
      1102*T1^10*T2^10 - 94*T1^11*T2^10 + 151*T1^12*T2^10 + 16*T1^13*T2^10 + 
      32*T1^14*T2^10 + 36*T1^15*T2^10 + 11*T1^16*T2^10 - 20*T1^3*T2^11 - 
      12*T1^4*T2^11 - 41*T1^5*T2^11 + 16*T1^6*T2^11 - 220*T1^7*T2^11 + 
      644*T1^8*T2^11 - 94*T1^9*T2^11 - 94*T1^10*T2^11 + 644*T1^11*T2^11 - 
      220*T1^12*T2^11 + 16*T1^13*T2^11 - 41*T1^14*T2^11 - 12*T1^15*T2^11 - 
      20*T1^16*T2^11 + 23*T1^4*T2^12 - 12*T1^5*T2^12 + 32*T1^6*T2^12 + 
      58*T1^7*T2^12 - 101*T1^8*T2^12 - 220*T1^9*T2^12 + 151*T1^10*T2^12 - 
      220*T1^11*T2^12 - 101*T1^12*T2^12 + 58*T1^13*T2^12 + 32*T1^14*T2^12 - 
      12*T1^15*T2^12 + 23*T1^16*T2^12 - 20*T1^5*T2^13 + 36*T1^6*T2^13 - 
      78*T1^7*T2^13 + 48*T1^8*T2^13 + 58*T1^9*T2^13 + 16*T1^10*T2^13 + 
      16*T1^11*T2^13 + 58*T1^12*T2^13 + 48*T1^13*T2^13 - 78*T1^14*T2^13 + 
      36*T1^15*T2^13 - 20*T1^16*T2^13 + 11*T1^6*T2^14 - 28*T1^7*T2^14 + 
      65*T1^8*T2^14 - 78*T1^9*T2^14 + 32*T1^10*T2^14 - 41*T1^11*T2^14 + 
      32*T1^12*T2^14 - 78*T1^13*T2^14 + 65*T1^14*T2^14 - 28*T1^15*T2^14 + 
      11*T1^16*T2^14 - 4*T1^7*T2^15 + 12*T1^8*T2^15 - 28*T1^9*T2^15 + 
      36*T1^10*T2^15 - 12*T1^11*T2^15 - 12*T1^12*T2^15 + 36*T1^13*T2^15 - 
      28*T1^14*T2^15 + 12*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 
      4*T1^9*T2^16 + 11*T1^10*T2^16 - 20*T1^11*T2^16 + 23*T1^12*T2^16 - 
      20*T1^13*T2^16 + 11*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, NonAlternating, 805] -> 
  {-((2 - 8*T + 19*T^2 - 27*T^3 + 19*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((1 - 4*T1 + 10*T1^2 - 15*T1^3 + 10*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 
      12*T1*T2 - 24*T1^2*T2 + 20*T1^3*T2 + 20*T1^4*T2 - 24*T1^5*T2 + 
      12*T1^6*T2 - 4*T1^7*T2 + 10*T2^2 - 24*T1*T2^2 + 44*T1^2*T2^2 - 
      36*T1^3*T2^2 - 26*T1^4*T2^2 - 36*T1^5*T2^2 + 44*T1^6*T2^2 - 
      24*T1^7*T2^2 + 10*T1^8*T2^2 - 15*T2^3 + 20*T1*T2^3 - 36*T1^2*T2^3 + 
      14*T1^3*T2^3 + 82*T1^4*T2^3 + 82*T1^5*T2^3 + 14*T1^6*T2^3 - 
      36*T1^7*T2^3 + 20*T1^8*T2^3 - 15*T1^9*T2^3 + 10*T2^4 + 20*T1*T2^4 - 
      26*T1^2*T2^4 + 82*T1^3*T2^4 - 81*T1^4*T2^4 - 325*T1^5*T2^4 - 
      81*T1^6*T2^4 + 82*T1^7*T2^4 - 26*T1^8*T2^4 + 20*T1^9*T2^4 + 
      10*T1^10*T2^4 - 4*T2^5 - 24*T1*T2^5 - 36*T1^2*T2^5 + 82*T1^3*T2^5 - 
      325*T1^4*T2^5 + 578*T1^5*T2^5 + 578*T1^6*T2^5 - 325*T1^7*T2^5 + 
      82*T1^8*T2^5 - 36*T1^9*T2^5 - 24*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 
      12*T1*T2^6 + 44*T1^2*T2^6 + 14*T1^3*T2^6 - 81*T1^4*T2^6 + 
      578*T1^5*T2^6 - 1788*T1^6*T2^6 + 578*T1^7*T2^6 - 81*T1^8*T2^6 + 
      14*T1^9*T2^6 + 44*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 
      24*T1^2*T2^7 - 36*T1^3*T2^7 + 82*T1^4*T2^7 - 325*T1^5*T2^7 + 
      578*T1^6*T2^7 + 578*T1^7*T2^7 - 325*T1^8*T2^7 + 82*T1^9*T2^7 - 
      36*T1^10*T2^7 - 24*T1^11*T2^7 - 4*T1^12*T2^7 + 10*T1^2*T2^8 + 
      20*T1^3*T2^8 - 26*T1^4*T2^8 + 82*T1^5*T2^8 - 81*T1^6*T2^8 - 
      325*T1^7*T2^8 - 81*T1^8*T2^8 + 82*T1^9*T2^8 - 26*T1^10*T2^8 + 
      20*T1^11*T2^8 + 10*T1^12*T2^8 - 15*T1^3*T2^9 + 20*T1^4*T2^9 - 
      36*T1^5*T2^9 + 14*T1^6*T2^9 + 82*T1^7*T2^9 + 82*T1^8*T2^9 + 
      14*T1^9*T2^9 - 36*T1^10*T2^9 + 20*T1^11*T2^9 - 15*T1^12*T2^9 + 
      10*T1^4*T2^10 - 24*T1^5*T2^10 + 44*T1^6*T2^10 - 36*T1^7*T2^10 - 
      26*T1^8*T2^10 - 36*T1^9*T2^10 + 44*T1^10*T2^10 - 24*T1^11*T2^10 + 
      10*T1^12*T2^10 - 4*T1^5*T2^11 + 12*T1^6*T2^11 - 24*T1^7*T2^11 + 
      20*T1^8*T2^11 + 20*T1^9*T2^11 - 24*T1^10*T2^11 + 12*T1^11*T2^11 - 
      4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 10*T1^8*T2^12 - 
      15*T1^9*T2^12 + 10*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, NonAlternating, 806] -> 
  {((2 - 3*T + 2*T^2)*(2 - 2*T + T^2 - 2*T^3 + 2*T^4))/T^3, 
   (196 - 480*T1 + 566*T1^2 - 510*T1^3 + 566*T1^4 - 480*T1^5 + 196*T1^6 - 
     480*T2 + 696*T1*T2 - 206*T1^2*T2 - 140*T1^3*T2 - 140*T1^4*T2 - 
     206*T1^5*T2 + 696*T1^6*T2 - 480*T1^7*T2 + 566*T2^2 - 206*T1*T2^2 - 
     755*T1^2*T2^2 + 691*T1^3*T2^2 + 13*T1^4*T2^2 + 691*T1^5*T2^2 - 
     755*T1^6*T2^2 - 206*T1^7*T2^2 + 566*T1^8*T2^2 - 510*T2^3 - 140*T1*T2^3 + 
     691*T1^2*T2^3 - 12*T1^3*T2^3 - 498*T1^4*T2^3 - 498*T1^5*T2^3 - 
     12*T1^6*T2^3 + 691*T1^7*T2^3 - 140*T1^8*T2^3 - 510*T1^9*T2^3 + 
     566*T2^4 - 140*T1*T2^4 + 13*T1^2*T2^4 - 498*T1^3*T2^4 + 594*T1^4*T2^4 + 
     100*T1^5*T2^4 + 594*T1^6*T2^4 - 498*T1^7*T2^4 + 13*T1^8*T2^4 - 
     140*T1^9*T2^4 + 566*T1^10*T2^4 - 480*T2^5 - 206*T1*T2^5 + 
     691*T1^2*T2^5 - 498*T1^3*T2^5 + 100*T1^4*T2^5 - 268*T1^5*T2^5 - 
     268*T1^6*T2^5 + 100*T1^7*T2^5 - 498*T1^8*T2^5 + 691*T1^9*T2^5 - 
     206*T1^10*T2^5 - 480*T1^11*T2^5 + 196*T2^6 + 696*T1*T2^6 - 
     755*T1^2*T2^6 - 12*T1^3*T2^6 + 594*T1^4*T2^6 - 268*T1^5*T2^6 + 
     480*T1^6*T2^6 - 268*T1^7*T2^6 + 594*T1^8*T2^6 - 12*T1^9*T2^6 - 
     755*T1^10*T2^6 + 696*T1^11*T2^6 + 196*T1^12*T2^6 - 480*T1*T2^7 - 
     206*T1^2*T2^7 + 691*T1^3*T2^7 - 498*T1^4*T2^7 + 100*T1^5*T2^7 - 
     268*T1^6*T2^7 - 268*T1^7*T2^7 + 100*T1^8*T2^7 - 498*T1^9*T2^7 + 
     691*T1^10*T2^7 - 206*T1^11*T2^7 - 480*T1^12*T2^7 + 566*T1^2*T2^8 - 
     140*T1^3*T2^8 + 13*T1^4*T2^8 - 498*T1^5*T2^8 + 594*T1^6*T2^8 + 
     100*T1^7*T2^8 + 594*T1^8*T2^8 - 498*T1^9*T2^8 + 13*T1^10*T2^8 - 
     140*T1^11*T2^8 + 566*T1^12*T2^8 - 510*T1^3*T2^9 - 140*T1^4*T2^9 + 
     691*T1^5*T2^9 - 12*T1^6*T2^9 - 498*T1^7*T2^9 - 498*T1^8*T2^9 - 
     12*T1^9*T2^9 + 691*T1^10*T2^9 - 140*T1^11*T2^9 - 510*T1^12*T2^9 + 
     566*T1^4*T2^10 - 206*T1^5*T2^10 - 755*T1^6*T2^10 + 691*T1^7*T2^10 + 
     13*T1^8*T2^10 + 691*T1^9*T2^10 - 755*T1^10*T2^10 - 206*T1^11*T2^10 + 
     566*T1^12*T2^10 - 480*T1^5*T2^11 + 696*T1^6*T2^11 - 206*T1^7*T2^11 - 
     140*T1^8*T2^11 - 140*T1^9*T2^11 - 206*T1^10*T2^11 + 696*T1^11*T2^11 - 
     480*T1^12*T2^11 + 196*T1^6*T2^12 - 480*T1^7*T2^12 + 566*T1^8*T2^12 - 
     510*T1^9*T2^12 + 566*T1^10*T2^12 - 480*T1^11*T2^12 + 196*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 807] -> 
  {-((2 - 8*T + 12*T^2 - 13*T^3 + 12*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((17 - 67*T1 + 100*T1^2 - 109*T1^3 + 100*T1^4 - 67*T1^5 + 17*T1^6 - 
      67*T2 + 196*T1*T2 - 123*T1^2*T2 + 31*T1^3*T2 + 31*T1^4*T2 - 
      123*T1^5*T2 + 196*T1^6*T2 - 67*T1^7*T2 + 100*T2^2 - 123*T1*T2^2 - 
      388*T1^2*T2^2 + 561*T1^3*T2^2 - 552*T1^4*T2^2 + 561*T1^5*T2^2 - 
      388*T1^6*T2^2 - 123*T1^7*T2^2 + 100*T1^8*T2^2 - 109*T2^3 + 31*T1*T2^3 + 
      561*T1^2*T2^3 - 240*T1^3*T2^3 + 15*T1^4*T2^3 + 15*T1^5*T2^3 - 
      240*T1^6*T2^3 + 561*T1^7*T2^3 + 31*T1^8*T2^3 - 109*T1^9*T2^3 + 
      100*T2^4 + 31*T1*T2^4 - 552*T1^2*T2^4 + 15*T1^3*T2^4 - 72*T1^4*T2^4 + 
      178*T1^5*T2^4 - 72*T1^6*T2^4 + 15*T1^7*T2^4 - 552*T1^8*T2^4 + 
      31*T1^9*T2^4 + 100*T1^10*T2^4 - 67*T2^5 - 123*T1*T2^5 + 561*T1^2*T2^5 + 
      15*T1^3*T2^5 + 178*T1^4*T2^5 - 80*T1^5*T2^5 - 80*T1^6*T2^5 + 
      178*T1^7*T2^5 + 15*T1^8*T2^5 + 561*T1^9*T2^5 - 123*T1^10*T2^5 - 
      67*T1^11*T2^5 + 17*T2^6 + 196*T1*T2^6 - 388*T1^2*T2^6 - 240*T1^3*T2^6 - 
      72*T1^4*T2^6 - 80*T1^5*T2^6 + 96*T1^6*T2^6 - 80*T1^7*T2^6 - 
      72*T1^8*T2^6 - 240*T1^9*T2^6 - 388*T1^10*T2^6 + 196*T1^11*T2^6 + 
      17*T1^12*T2^6 - 67*T1*T2^7 - 123*T1^2*T2^7 + 561*T1^3*T2^7 + 
      15*T1^4*T2^7 + 178*T1^5*T2^7 - 80*T1^6*T2^7 - 80*T1^7*T2^7 + 
      178*T1^8*T2^7 + 15*T1^9*T2^7 + 561*T1^10*T2^7 - 123*T1^11*T2^7 - 
      67*T1^12*T2^7 + 100*T1^2*T2^8 + 31*T1^3*T2^8 - 552*T1^4*T2^8 + 
      15*T1^5*T2^8 - 72*T1^6*T2^8 + 178*T1^7*T2^8 - 72*T1^8*T2^8 + 
      15*T1^9*T2^8 - 552*T1^10*T2^8 + 31*T1^11*T2^8 + 100*T1^12*T2^8 - 
      109*T1^3*T2^9 + 31*T1^4*T2^9 + 561*T1^5*T2^9 - 240*T1^6*T2^9 + 
      15*T1^7*T2^9 + 15*T1^8*T2^9 - 240*T1^9*T2^9 + 561*T1^10*T2^9 + 
      31*T1^11*T2^9 - 109*T1^12*T2^9 + 100*T1^4*T2^10 - 123*T1^5*T2^10 - 
      388*T1^6*T2^10 + 561*T1^7*T2^10 - 552*T1^8*T2^10 + 561*T1^9*T2^10 - 
      388*T1^10*T2^10 - 123*T1^11*T2^10 + 100*T1^12*T2^10 - 67*T1^5*T2^11 + 
      196*T1^6*T2^11 - 123*T1^7*T2^11 + 31*T1^8*T2^11 + 31*T1^9*T2^11 - 
      123*T1^10*T2^11 + 196*T1^11*T2^11 - 67*T1^12*T2^11 + 17*T1^6*T2^12 - 
      67*T1^7*T2^12 + 100*T1^8*T2^12 - 109*T1^9*T2^12 + 100*T1^10*T2^12 - 
      67*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 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 - 25*T1^2*T2^2 + 44*T1^3*T2^2 - 
     41*T1^4*T2^2 + 44*T1^5*T2^2 - 25*T1^6*T2^2 + 4*T1^7*T2^2 + T1^8*T2^2 - 
     2*T2^3 - 2*T1*T2^3 + 44*T1^2*T2^3 - 82*T1^3*T2^3 + 15*T1^4*T2^3 + 
     15*T1^5*T2^3 - 82*T1^6*T2^3 + 44*T1^7*T2^3 - 2*T1^8*T2^3 - 2*T1^9*T2^3 + 
     T2^4 - 2*T1*T2^4 - 41*T1^2*T2^4 + 15*T1^3*T2^4 + 262*T1^4*T2^4 - 
     296*T1^5*T2^4 + 262*T1^6*T2^4 + 15*T1^7*T2^4 - 41*T1^8*T2^4 - 
     2*T1^9*T2^4 + T1^10*T2^4 + 4*T1*T2^5 + 44*T1^2*T2^5 + 15*T1^3*T2^5 - 
     296*T1^4*T2^5 + 74*T1^5*T2^5 + 74*T1^6*T2^5 - 296*T1^7*T2^5 + 
     15*T1^8*T2^5 + 44*T1^9*T2^5 + 4*T1^10*T2^5 - 2*T1*T2^6 - 25*T1^2*T2^6 - 
     82*T1^3*T2^6 + 262*T1^4*T2^6 + 74*T1^5*T2^6 - 72*T1^6*T2^6 + 
     74*T1^7*T2^6 + 262*T1^8*T2^6 - 82*T1^9*T2^6 - 25*T1^10*T2^6 - 
     2*T1^11*T2^6 + 4*T1^2*T2^7 + 44*T1^3*T2^7 + 15*T1^4*T2^7 - 
     296*T1^5*T2^7 + 74*T1^6*T2^7 + 74*T1^7*T2^7 - 296*T1^8*T2^7 + 
     15*T1^9*T2^7 + 44*T1^10*T2^7 + 4*T1^11*T2^7 + T1^2*T2^8 - 2*T1^3*T2^8 - 
     41*T1^4*T2^8 + 15*T1^5*T2^8 + 262*T1^6*T2^8 - 296*T1^7*T2^8 + 
     262*T1^8*T2^8 + 15*T1^9*T2^8 - 41*T1^10*T2^8 - 2*T1^11*T2^8 + 
     T1^12*T2^8 - 2*T1^3*T2^9 - 2*T1^4*T2^9 + 44*T1^5*T2^9 - 82*T1^6*T2^9 + 
     15*T1^7*T2^9 + 15*T1^8*T2^9 - 82*T1^9*T2^9 + 44*T1^10*T2^9 - 
     2*T1^11*T2^9 - 2*T1^12*T2^9 + T1^4*T2^10 + 4*T1^5*T2^10 - 
     25*T1^6*T2^10 + 44*T1^7*T2^10 - 41*T1^8*T2^10 + 44*T1^9*T2^10 - 
     25*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)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 809] -> {-((2 - 4*T + 3*T^2 - 4*T^3 + 2*T^4)/T^2), 
   -((11 - 19*T1 + 9*T1^2 - 19*T1^3 + 11*T1^4 - 19*T2 + 12*T1*T2 + 
      22*T1^2*T2 + 22*T1^3*T2 + 12*T1^4*T2 - 19*T1^5*T2 + 9*T2^2 + 
      22*T1*T2^2 - 60*T1^2*T2^2 + 4*T1^3*T2^2 - 60*T1^4*T2^2 + 22*T1^5*T2^2 + 
      9*T1^6*T2^2 - 19*T2^3 + 22*T1*T2^3 + 4*T1^2*T2^3 + 28*T1^3*T2^3 + 
      28*T1^4*T2^3 + 4*T1^5*T2^3 + 22*T1^6*T2^3 - 19*T1^7*T2^3 + 11*T2^4 + 
      12*T1*T2^4 - 60*T1^2*T2^4 + 28*T1^3*T2^4 - 60*T1^4*T2^4 + 
      28*T1^5*T2^4 - 60*T1^6*T2^4 + 12*T1^7*T2^4 + 11*T1^8*T2^4 - 
      19*T1*T2^5 + 22*T1^2*T2^5 + 4*T1^3*T2^5 + 28*T1^4*T2^5 + 28*T1^5*T2^5 + 
      4*T1^6*T2^5 + 22*T1^7*T2^5 - 19*T1^8*T2^5 + 9*T1^2*T2^6 + 
      22*T1^3*T2^6 - 60*T1^4*T2^6 + 4*T1^5*T2^6 - 60*T1^6*T2^6 + 
      22*T1^7*T2^6 + 9*T1^8*T2^6 - 19*T1^3*T2^7 + 12*T1^4*T2^7 + 
      22*T1^5*T2^7 + 22*T1^6*T2^7 + 12*T1^7*T2^7 - 19*T1^8*T2^7 + 
      11*T1^4*T2^8 - 19*T1^5*T2^8 + 9*T1^6*T2^8 - 19*T1^7*T2^8 + 
      11*T1^8*T2^8)/(T1^4*T2^4))}, Knot[12, NonAlternating, 810] -> 
  {(2 - 8*T + 12*T^2 - 11*T^3 + 12*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (7 - 27*T1 + 40*T1^2 - 37*T1^3 + 40*T1^4 - 27*T1^5 + 7*T1^6 - 27*T2 + 
     78*T1*T2 - 53*T1^2*T2 - 9*T1^3*T2 - 9*T1^4*T2 - 53*T1^5*T2 + 
     78*T1^6*T2 - 27*T1^7*T2 + 40*T2^2 - 53*T1*T2^2 - 126*T1^2*T2^2 + 
     235*T1^3*T2^2 - 130*T1^4*T2^2 + 235*T1^5*T2^2 - 126*T1^6*T2^2 - 
     53*T1^7*T2^2 + 40*T1^8*T2^2 - 37*T2^3 - 9*T1*T2^3 + 235*T1^2*T2^3 - 
     190*T1^3*T2^3 - 35*T1^4*T2^3 - 35*T1^5*T2^3 - 190*T1^6*T2^3 + 
     235*T1^7*T2^3 - 9*T1^8*T2^3 - 37*T1^9*T2^3 + 40*T2^4 - 9*T1*T2^4 - 
     130*T1^2*T2^4 - 35*T1^3*T2^4 + 326*T1^4*T2^4 - 410*T1^5*T2^4 + 
     326*T1^6*T2^4 - 35*T1^7*T2^4 - 130*T1^8*T2^4 - 9*T1^9*T2^4 + 
     40*T1^10*T2^4 - 27*T2^5 - 53*T1*T2^5 + 235*T1^2*T2^5 - 35*T1^3*T2^5 - 
     410*T1^4*T2^5 + 392*T1^5*T2^5 + 392*T1^6*T2^5 - 410*T1^7*T2^5 - 
     35*T1^8*T2^5 + 235*T1^9*T2^5 - 53*T1^10*T2^5 - 27*T1^11*T2^5 + 7*T2^6 + 
     78*T1*T2^6 - 126*T1^2*T2^6 - 190*T1^3*T2^6 + 326*T1^4*T2^6 + 
     392*T1^5*T2^6 - 1272*T1^6*T2^6 + 392*T1^7*T2^6 + 326*T1^8*T2^6 - 
     190*T1^9*T2^6 - 126*T1^10*T2^6 + 78*T1^11*T2^6 + 7*T1^12*T2^6 - 
     27*T1*T2^7 - 53*T1^2*T2^7 + 235*T1^3*T2^7 - 35*T1^4*T2^7 - 
     410*T1^5*T2^7 + 392*T1^6*T2^7 + 392*T1^7*T2^7 - 410*T1^8*T2^7 - 
     35*T1^9*T2^7 + 235*T1^10*T2^7 - 53*T1^11*T2^7 - 27*T1^12*T2^7 + 
     40*T1^2*T2^8 - 9*T1^3*T2^8 - 130*T1^4*T2^8 - 35*T1^5*T2^8 + 
     326*T1^6*T2^8 - 410*T1^7*T2^8 + 326*T1^8*T2^8 - 35*T1^9*T2^8 - 
     130*T1^10*T2^8 - 9*T1^11*T2^8 + 40*T1^12*T2^8 - 37*T1^3*T2^9 - 
     9*T1^4*T2^9 + 235*T1^5*T2^9 - 190*T1^6*T2^9 - 35*T1^7*T2^9 - 
     35*T1^8*T2^9 - 190*T1^9*T2^9 + 235*T1^10*T2^9 - 9*T1^11*T2^9 - 
     37*T1^12*T2^9 + 40*T1^4*T2^10 - 53*T1^5*T2^10 - 126*T1^6*T2^10 + 
     235*T1^7*T2^10 - 130*T1^8*T2^10 + 235*T1^9*T2^10 - 126*T1^10*T2^10 - 
     53*T1^11*T2^10 + 40*T1^12*T2^10 - 27*T1^5*T2^11 + 78*T1^6*T2^11 - 
     53*T1^7*T2^11 - 9*T1^8*T2^11 - 9*T1^9*T2^11 - 53*T1^10*T2^11 + 
     78*T1^11*T2^11 - 27*T1^12*T2^11 + 7*T1^6*T2^12 - 27*T1^7*T2^12 + 
     40*T1^8*T2^12 - 37*T1^9*T2^12 + 40*T1^10*T2^12 - 27*T1^11*T2^12 + 
     7*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 811] -> 
  {((1 - T + T^2)^2*(2 - 3*T + 2*T^2))/T^3, 
   (9 - 32*T1 + 64*T1^2 - 77*T1^3 + 64*T1^4 - 32*T1^5 + 9*T1^6 - 32*T2 + 
     80*T1*T2 - 112*T1^2*T2 + 46*T1^3*T2 + 46*T1^4*T2 - 112*T1^5*T2 + 
     80*T1^6*T2 - 32*T1^7*T2 + 64*T2^2 - 112*T1*T2^2 + 138*T1^2*T2^2 - 
     15*T1^3*T2^2 - 10*T1^4*T2^2 - 15*T1^5*T2^2 + 138*T1^6*T2^2 - 
     112*T1^7*T2^2 + 64*T1^8*T2^2 - 77*T2^3 + 46*T1*T2^3 - 15*T1^2*T2^3 - 
     180*T1^3*T2^3 + 49*T1^4*T2^3 + 49*T1^5*T2^3 - 180*T1^6*T2^3 - 
     15*T1^7*T2^3 + 46*T1^8*T2^3 - 77*T1^9*T2^3 + 64*T2^4 + 46*T1*T2^4 - 
     10*T1^2*T2^4 + 49*T1^3*T2^4 + 418*T1^4*T2^4 - 486*T1^5*T2^4 + 
     418*T1^6*T2^4 + 49*T1^7*T2^4 - 10*T1^8*T2^4 + 46*T1^9*T2^4 + 
     64*T1^10*T2^4 - 32*T2^5 - 112*T1*T2^5 - 15*T1^2*T2^5 + 49*T1^3*T2^5 - 
     486*T1^4*T2^5 + 140*T1^5*T2^5 + 140*T1^6*T2^5 - 486*T1^7*T2^5 + 
     49*T1^8*T2^5 - 15*T1^9*T2^5 - 112*T1^10*T2^5 - 32*T1^11*T2^5 + 9*T2^6 + 
     80*T1*T2^6 + 138*T1^2*T2^6 - 180*T1^3*T2^6 + 418*T1^4*T2^6 + 
     140*T1^5*T2^6 - 192*T1^6*T2^6 + 140*T1^7*T2^6 + 418*T1^8*T2^6 - 
     180*T1^9*T2^6 + 138*T1^10*T2^6 + 80*T1^11*T2^6 + 9*T1^12*T2^6 - 
     32*T1*T2^7 - 112*T1^2*T2^7 - 15*T1^3*T2^7 + 49*T1^4*T2^7 - 
     486*T1^5*T2^7 + 140*T1^6*T2^7 + 140*T1^7*T2^7 - 486*T1^8*T2^7 + 
     49*T1^9*T2^7 - 15*T1^10*T2^7 - 112*T1^11*T2^7 - 32*T1^12*T2^7 + 
     64*T1^2*T2^8 + 46*T1^3*T2^8 - 10*T1^4*T2^8 + 49*T1^5*T2^8 + 
     418*T1^6*T2^8 - 486*T1^7*T2^8 + 418*T1^8*T2^8 + 49*T1^9*T2^8 - 
     10*T1^10*T2^8 + 46*T1^11*T2^8 + 64*T1^12*T2^8 - 77*T1^3*T2^9 + 
     46*T1^4*T2^9 - 15*T1^5*T2^9 - 180*T1^6*T2^9 + 49*T1^7*T2^9 + 
     49*T1^8*T2^9 - 180*T1^9*T2^9 - 15*T1^10*T2^9 + 46*T1^11*T2^9 - 
     77*T1^12*T2^9 + 64*T1^4*T2^10 - 112*T1^5*T2^10 + 138*T1^6*T2^10 - 
     15*T1^7*T2^10 - 10*T1^8*T2^10 - 15*T1^9*T2^10 + 138*T1^10*T2^10 - 
     112*T1^11*T2^10 + 64*T1^12*T2^10 - 32*T1^5*T2^11 + 80*T1^6*T2^11 - 
     112*T1^7*T2^11 + 46*T1^8*T2^11 + 46*T1^9*T2^11 - 112*T1^10*T2^11 + 
     80*T1^11*T2^11 - 32*T1^12*T2^11 + 9*T1^6*T2^12 - 32*T1^7*T2^12 + 
     64*T1^8*T2^12 - 77*T1^9*T2^12 + 64*T1^10*T2^12 - 32*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, 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 - 2*T1^2*T2^2 + 4*T1^3*T2^2 - 
     12*T1^4*T2^2 + 4*T1^5*T2^2 - 2*T1^6*T2^2 - T1^7*T2^2 + T1^8*T2^2 - 
     2*T2^3 + 2*T1*T2^3 + 4*T1^2*T2^3 - 8*T1^3*T2^3 + 8*T1^4*T2^3 + 
     8*T1^5*T2^3 - 8*T1^6*T2^3 + 4*T1^7*T2^3 + 2*T1^8*T2^3 - 2*T1^9*T2^3 + 
     T2^4 + 2*T1*T2^4 - 12*T1^2*T2^4 + 8*T1^3*T2^4 + 34*T1^4*T2^4 - 
     50*T1^5*T2^4 + 34*T1^6*T2^4 + 8*T1^7*T2^4 - 12*T1^8*T2^4 + 2*T1^9*T2^4 + 
     T1^10*T2^4 - T1*T2^5 + 4*T1^2*T2^5 + 8*T1^3*T2^5 - 50*T1^4*T2^5 + 
     10*T1^5*T2^5 + 10*T1^6*T2^5 - 50*T1^7*T2^5 + 8*T1^8*T2^5 + 4*T1^9*T2^5 - 
     T1^10*T2^5 - 2*T1^2*T2^6 - 8*T1^3*T2^6 + 34*T1^4*T2^6 + 10*T1^5*T2^6 + 
     12*T1^6*T2^6 + 10*T1^7*T2^6 + 34*T1^8*T2^6 - 8*T1^9*T2^6 - 
     2*T1^10*T2^6 - T1^2*T2^7 + 4*T1^3*T2^7 + 8*T1^4*T2^7 - 50*T1^5*T2^7 + 
     10*T1^6*T2^7 + 10*T1^7*T2^7 - 50*T1^8*T2^7 + 8*T1^9*T2^7 + 
     4*T1^10*T2^7 - T1^11*T2^7 + T1^2*T2^8 + 2*T1^3*T2^8 - 12*T1^4*T2^8 + 
     8*T1^5*T2^8 + 34*T1^6*T2^8 - 50*T1^7*T2^8 + 34*T1^8*T2^8 + 8*T1^9*T2^8 - 
     12*T1^10*T2^8 + 2*T1^11*T2^8 + T1^12*T2^8 - 2*T1^3*T2^9 + 2*T1^4*T2^9 + 
     4*T1^5*T2^9 - 8*T1^6*T2^9 + 8*T1^7*T2^9 + 8*T1^8*T2^9 - 8*T1^9*T2^9 + 
     4*T1^10*T2^9 + 2*T1^11*T2^9 - 2*T1^12*T2^9 + T1^4*T2^10 - T1^5*T2^10 - 
     2*T1^6*T2^10 + 4*T1^7*T2^10 - 12*T1^8*T2^10 + 4*T1^9*T2^10 - 
     2*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)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 813] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)^2)/T^3), 
   (1 - 4*T1 + 10*T1^2 - 15*T1^3 + 10*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 8*T1*T2 - 
     10*T1^2*T2 + 10*T1^3*T2 + 10*T1^4*T2 - 10*T1^5*T2 + 8*T1^6*T2 - 
     4*T1^7*T2 + 10*T2^2 - 10*T1*T2^2 + 10*T1^2*T2^2 - 73*T1^3*T2^2 + 
     82*T1^4*T2^2 - 73*T1^5*T2^2 + 10*T1^6*T2^2 - 10*T1^7*T2^2 + 
     10*T1^8*T2^2 - 15*T2^3 + 10*T1*T2^3 - 73*T1^2*T2^3 + 312*T1^3*T2^3 - 
     141*T1^4*T2^3 - 141*T1^5*T2^3 + 312*T1^6*T2^3 - 73*T1^7*T2^3 + 
     10*T1^8*T2^3 - 15*T1^9*T2^3 + 10*T2^4 + 10*T1*T2^4 + 82*T1^2*T2^4 - 
     141*T1^3*T2^4 - 870*T1^4*T2^4 + 1298*T1^5*T2^4 - 870*T1^6*T2^4 - 
     141*T1^7*T2^4 + 82*T1^8*T2^4 + 10*T1^9*T2^4 + 10*T1^10*T2^4 - 4*T2^5 - 
     10*T1*T2^5 - 73*T1^2*T2^5 - 141*T1^3*T2^5 + 1298*T1^4*T2^5 - 
     600*T1^5*T2^5 - 600*T1^6*T2^5 + 1298*T1^7*T2^5 - 141*T1^8*T2^5 - 
     73*T1^9*T2^5 - 10*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 8*T1*T2^6 + 
     10*T1^2*T2^6 + 312*T1^3*T2^6 - 870*T1^4*T2^6 - 600*T1^5*T2^6 + 
     1140*T1^6*T2^6 - 600*T1^7*T2^6 - 870*T1^8*T2^6 + 312*T1^9*T2^6 + 
     10*T1^10*T2^6 + 8*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 10*T1^2*T2^7 - 
     73*T1^3*T2^7 - 141*T1^4*T2^7 + 1298*T1^5*T2^7 - 600*T1^6*T2^7 - 
     600*T1^7*T2^7 + 1298*T1^8*T2^7 - 141*T1^9*T2^7 - 73*T1^10*T2^7 - 
     10*T1^11*T2^7 - 4*T1^12*T2^7 + 10*T1^2*T2^8 + 10*T1^3*T2^8 + 
     82*T1^4*T2^8 - 141*T1^5*T2^8 - 870*T1^6*T2^8 + 1298*T1^7*T2^8 - 
     870*T1^8*T2^8 - 141*T1^9*T2^8 + 82*T1^10*T2^8 + 10*T1^11*T2^8 + 
     10*T1^12*T2^8 - 15*T1^3*T2^9 + 10*T1^4*T2^9 - 73*T1^5*T2^9 + 
     312*T1^6*T2^9 - 141*T1^7*T2^9 - 141*T1^8*T2^9 + 312*T1^9*T2^9 - 
     73*T1^10*T2^9 + 10*T1^11*T2^9 - 15*T1^12*T2^9 + 10*T1^4*T2^10 - 
     10*T1^5*T2^10 + 10*T1^6*T2^10 - 73*T1^7*T2^10 + 82*T1^8*T2^10 - 
     73*T1^9*T2^10 + 10*T1^10*T2^10 - 10*T1^11*T2^10 + 10*T1^12*T2^10 - 
     4*T1^5*T2^11 + 8*T1^6*T2^11 - 10*T1^7*T2^11 + 10*T1^8*T2^11 + 
     10*T1^9*T2^11 - 10*T1^10*T2^11 + 8*T1^11*T2^11 - 4*T1^12*T2^11 + 
     T1^6*T2^12 - 4*T1^7*T2^12 + 10*T1^8*T2^12 - 15*T1^9*T2^12 + 
     10*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 814] -> 
  {-((6 - 24*T + 35*T^2 - 24*T^3 + 6*T^4)/T^2), 
   -((291 - 1161*T1 + 1679*T1^2 - 1161*T1^3 + 291*T1^4 - 1161*T2 + 
      3484*T1*T2 - 2076*T1^2*T2 - 2076*T1^3*T2 + 3484*T1^4*T2 - 
      1161*T1^5*T2 + 1679*T2^2 - 2076*T1*T2^2 - 7236*T1^2*T2^2 + 
      13572*T1^3*T2^2 - 7236*T1^4*T2^2 - 2076*T1^5*T2^2 + 1679*T1^6*T2^2 - 
      1161*T2^3 - 2076*T1*T2^3 + 13572*T1^2*T2^3 - 8682*T1^3*T2^3 - 
      8682*T1^4*T2^3 + 13572*T1^5*T2^3 - 2076*T1^6*T2^3 - 1161*T1^7*T2^3 + 
      291*T2^4 + 3484*T1*T2^4 - 7236*T1^2*T2^4 - 8682*T1^3*T2^4 + 
      20196*T1^4*T2^4 - 8682*T1^5*T2^4 - 7236*T1^6*T2^4 + 3484*T1^7*T2^4 + 
      291*T1^8*T2^4 - 1161*T1*T2^5 - 2076*T1^2*T2^5 + 13572*T1^3*T2^5 - 
      8682*T1^4*T2^5 - 8682*T1^5*T2^5 + 13572*T1^6*T2^5 - 2076*T1^7*T2^5 - 
      1161*T1^8*T2^5 + 1679*T1^2*T2^6 - 2076*T1^3*T2^6 - 7236*T1^4*T2^6 + 
      13572*T1^5*T2^6 - 7236*T1^6*T2^6 - 2076*T1^7*T2^6 + 1679*T1^8*T2^6 - 
      1161*T1^3*T2^7 + 3484*T1^4*T2^7 - 2076*T1^5*T2^7 - 2076*T1^6*T2^7 + 
      3484*T1^7*T2^7 - 1161*T1^8*T2^7 + 291*T1^4*T2^8 - 1161*T1^5*T2^8 + 
      1679*T1^6*T2^8 - 1161*T1^7*T2^8 + 291*T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, NonAlternating, 815] -> {-((1 - 2*T + T^2 - 2*T^3 + T^4)/T^2), 
   -((1 - 3*T1 + 5*T1^2 - 3*T1^3 + T1^4 - 3*T2 + T1^2*T2 + T1^3*T2 - 
      3*T1^5*T2 + 5*T2^2 + T1*T2^2 + 2*T1^2*T2^2 - 4*T1^3*T2^2 + 
      2*T1^4*T2^2 + T1^5*T2^2 + 5*T1^6*T2^2 - 3*T2^3 + T1*T2^3 - 
      4*T1^2*T2^3 - 6*T1^3*T2^3 - 6*T1^4*T2^3 - 4*T1^5*T2^3 + T1^6*T2^3 - 
      3*T1^7*T2^3 + T2^4 + 2*T1^2*T2^4 - 6*T1^3*T2^4 + 36*T1^4*T2^4 - 
      6*T1^5*T2^4 + 2*T1^6*T2^4 + T1^8*T2^4 - 3*T1*T2^5 + T1^2*T2^5 - 
      4*T1^3*T2^5 - 6*T1^4*T2^5 - 6*T1^5*T2^5 - 4*T1^6*T2^5 + T1^7*T2^5 - 
      3*T1^8*T2^5 + 5*T1^2*T2^6 + T1^3*T2^6 + 2*T1^4*T2^6 - 4*T1^5*T2^6 + 
      2*T1^6*T2^6 + T1^7*T2^6 + 5*T1^8*T2^6 - 3*T1^3*T2^7 + T1^5*T2^7 + 
      T1^6*T2^7 - 3*T1^8*T2^7 + T1^4*T2^8 - 3*T1^5*T2^8 + 5*T1^6*T2^8 - 
      3*T1^7*T2^8 + T1^8*T2^8)/(T1^4*T2^4))}, 
 Knot[12, NonAlternating, 816] -> 
  {-((2 - 11*T + 26*T^2 - 35*T^3 + 26*T^4 - 11*T^5 + 2*T^6)/T^3), 
   (1 - 5*T1 + 12*T1^2 - 17*T1^3 + 12*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     20*T1*T2 - 35*T1^2*T2 + 27*T1^3*T2 + 27*T1^4*T2 - 35*T1^5*T2 + 
     20*T1^6*T2 - 5*T1^7*T2 + 12*T2^2 - 35*T1*T2^2 + 37*T1^2*T2^2 - 
     5*T1^3*T2^2 - 111*T1^4*T2^2 - 5*T1^5*T2^2 + 37*T1^6*T2^2 - 
     35*T1^7*T2^2 + 12*T1^8*T2^2 - 17*T2^3 + 27*T1*T2^3 - 5*T1^2*T2^3 + 
     6*T1^3*T2^3 + 174*T1^4*T2^3 + 174*T1^5*T2^3 + 6*T1^6*T2^3 - 
     5*T1^7*T2^3 + 27*T1^8*T2^3 - 17*T1^9*T2^3 + 12*T2^4 + 27*T1*T2^4 - 
     111*T1^2*T2^4 + 174*T1^3*T2^4 - 580*T1^4*T2^4 + 4*T1^5*T2^4 - 
     580*T1^6*T2^4 + 174*T1^7*T2^4 - 111*T1^8*T2^4 + 27*T1^9*T2^4 + 
     12*T1^10*T2^4 - 5*T2^5 - 35*T1*T2^5 - 5*T1^2*T2^5 + 174*T1^3*T2^5 + 
     4*T1^4*T2^5 + 692*T1^5*T2^5 + 692*T1^6*T2^5 + 4*T1^7*T2^5 + 
     174*T1^8*T2^5 - 5*T1^9*T2^5 - 35*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     20*T1*T2^6 + 37*T1^2*T2^6 + 6*T1^3*T2^6 - 580*T1^4*T2^6 + 
     692*T1^5*T2^6 - 2328*T1^6*T2^6 + 692*T1^7*T2^6 - 580*T1^8*T2^6 + 
     6*T1^9*T2^6 + 37*T1^10*T2^6 + 20*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     35*T1^2*T2^7 - 5*T1^3*T2^7 + 174*T1^4*T2^7 + 4*T1^5*T2^7 + 
     692*T1^6*T2^7 + 692*T1^7*T2^7 + 4*T1^8*T2^7 + 174*T1^9*T2^7 - 
     5*T1^10*T2^7 - 35*T1^11*T2^7 - 5*T1^12*T2^7 + 12*T1^2*T2^8 + 
     27*T1^3*T2^8 - 111*T1^4*T2^8 + 174*T1^5*T2^8 - 580*T1^6*T2^8 + 
     4*T1^7*T2^8 - 580*T1^8*T2^8 + 174*T1^9*T2^8 - 111*T1^10*T2^8 + 
     27*T1^11*T2^8 + 12*T1^12*T2^8 - 17*T1^3*T2^9 + 27*T1^4*T2^9 - 
     5*T1^5*T2^9 + 6*T1^6*T2^9 + 174*T1^7*T2^9 + 174*T1^8*T2^9 + 
     6*T1^9*T2^9 - 5*T1^10*T2^9 + 27*T1^11*T2^9 - 17*T1^12*T2^9 + 
     12*T1^4*T2^10 - 35*T1^5*T2^10 + 37*T1^6*T2^10 - 5*T1^7*T2^10 - 
     111*T1^8*T2^10 - 5*T1^9*T2^10 + 37*T1^10*T2^10 - 35*T1^11*T2^10 + 
     12*T1^12*T2^10 - 5*T1^5*T2^11 + 20*T1^6*T2^11 - 35*T1^7*T2^11 + 
     27*T1^8*T2^11 + 27*T1^9*T2^11 - 35*T1^10*T2^11 + 20*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 12*T1^8*T2^12 - 
     17*T1^9*T2^12 + 12*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 817] -> 
  {-(((-2 + 2*T - 2*T^2 + T^3)*(-1 + 2*T - 2*T^2 + 2*T^3))/T^3), 
   (1 - 3*T1 + 4*T1^2 - 5*T1^3 + 4*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 - 
     3*T1^2*T2 + 3*T1^3*T2 + 3*T1^4*T2 - 3*T1^5*T2 + 6*T1^6*T2 - 3*T1^7*T2 + 
     4*T2^2 - 3*T1*T2^2 - 31*T1^2*T2^2 + 76*T1^3*T2^2 - 101*T1^4*T2^2 + 
     76*T1^5*T2^2 - 31*T1^6*T2^2 - 3*T1^7*T2^2 + 4*T1^8*T2^2 - 5*T2^3 + 
     3*T1*T2^3 + 76*T1^2*T2^3 - 134*T1^3*T2^3 + 51*T1^4*T2^3 + 51*T1^5*T2^3 - 
     134*T1^6*T2^3 + 76*T1^7*T2^3 + 3*T1^8*T2^3 - 5*T1^9*T2^3 + 4*T2^4 + 
     3*T1*T2^4 - 101*T1^2*T2^4 + 51*T1^3*T2^4 + 199*T1^4*T2^4 - 
     219*T1^5*T2^4 + 199*T1^6*T2^4 + 51*T1^7*T2^4 - 101*T1^8*T2^4 + 
     3*T1^9*T2^4 + 4*T1^10*T2^4 - 3*T2^5 - 3*T1*T2^5 + 76*T1^2*T2^5 + 
     51*T1^3*T2^5 - 219*T1^4*T2^5 + 6*T1^5*T2^5 + 6*T1^6*T2^5 - 
     219*T1^7*T2^5 + 51*T1^8*T2^5 + 76*T1^9*T2^5 - 3*T1^10*T2^5 - 
     3*T1^11*T2^5 + T2^6 + 6*T1*T2^6 - 31*T1^2*T2^6 - 134*T1^3*T2^6 + 
     199*T1^4*T2^6 + 6*T1^5*T2^6 + 132*T1^6*T2^6 + 6*T1^7*T2^6 + 
     199*T1^8*T2^6 - 134*T1^9*T2^6 - 31*T1^10*T2^6 + 6*T1^11*T2^6 + 
     T1^12*T2^6 - 3*T1*T2^7 - 3*T1^2*T2^7 + 76*T1^3*T2^7 + 51*T1^4*T2^7 - 
     219*T1^5*T2^7 + 6*T1^6*T2^7 + 6*T1^7*T2^7 - 219*T1^8*T2^7 + 
     51*T1^9*T2^7 + 76*T1^10*T2^7 - 3*T1^11*T2^7 - 3*T1^12*T2^7 + 
     4*T1^2*T2^8 + 3*T1^3*T2^8 - 101*T1^4*T2^8 + 51*T1^5*T2^8 + 
     199*T1^6*T2^8 - 219*T1^7*T2^8 + 199*T1^8*T2^8 + 51*T1^9*T2^8 - 
     101*T1^10*T2^8 + 3*T1^11*T2^8 + 4*T1^12*T2^8 - 5*T1^3*T2^9 + 
     3*T1^4*T2^9 + 76*T1^5*T2^9 - 134*T1^6*T2^9 + 51*T1^7*T2^9 + 
     51*T1^8*T2^9 - 134*T1^9*T2^9 + 76*T1^10*T2^9 + 3*T1^11*T2^9 - 
     5*T1^12*T2^9 + 4*T1^4*T2^10 - 3*T1^5*T2^10 - 31*T1^6*T2^10 + 
     76*T1^7*T2^10 - 101*T1^8*T2^10 + 76*T1^9*T2^10 - 31*T1^10*T2^10 - 
     3*T1^11*T2^10 + 4*T1^12*T2^10 - 3*T1^5*T2^11 + 6*T1^6*T2^11 - 
     3*T1^7*T2^11 + 3*T1^8*T2^11 + 3*T1^9*T2^11 - 3*T1^10*T2^11 + 
     6*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)/(T1^6*T2^6)}, Knot[12, NonAlternating, 818] -> 
  {(1 - 9*T + 22*T^2 - 27*T^3 + 22*T^4 - 9*T^5 + T^6)/T^3, 
   (1 - 9*T1 + 22*T1^2 - 27*T1^3 + 22*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
     74*T1*T2 - 121*T1^2*T2 + 47*T1^3*T2 + 47*T1^4*T2 - 121*T1^5*T2 + 
     74*T1^6*T2 - 9*T1^7*T2 + 22*T2^2 - 121*T1*T2^2 - 191*T1^2*T2^2 + 
     893*T1^3*T2^2 - 1093*T1^4*T2^2 + 893*T1^5*T2^2 - 191*T1^6*T2^2 - 
     121*T1^7*T2^2 + 22*T1^8*T2^2 - 27*T2^3 + 47*T1*T2^3 + 893*T1^2*T2^3 - 
     1662*T1^3*T2^3 + 572*T1^4*T2^3 + 572*T1^5*T2^3 - 1662*T1^6*T2^3 + 
     893*T1^7*T2^3 + 47*T1^8*T2^3 - 27*T1^9*T2^3 + 22*T2^4 + 47*T1*T2^4 - 
     1093*T1^2*T2^4 + 572*T1^3*T2^4 + 2176*T1^4*T2^4 - 2776*T1^5*T2^4 + 
     2176*T1^6*T2^4 + 572*T1^7*T2^4 - 1093*T1^8*T2^4 + 47*T1^9*T2^4 + 
     22*T1^10*T2^4 - 9*T2^5 - 121*T1*T2^5 + 893*T1^2*T2^5 + 572*T1^3*T2^5 - 
     2776*T1^4*T2^5 + 990*T1^5*T2^5 + 990*T1^6*T2^5 - 2776*T1^7*T2^5 + 
     572*T1^8*T2^5 + 893*T1^9*T2^5 - 121*T1^10*T2^5 - 9*T1^11*T2^5 + T2^6 + 
     74*T1*T2^6 - 191*T1^2*T2^6 - 1662*T1^3*T2^6 + 2176*T1^4*T2^6 + 
     990*T1^5*T2^6 - 1800*T1^6*T2^6 + 990*T1^7*T2^6 + 2176*T1^8*T2^6 - 
     1662*T1^9*T2^6 - 191*T1^10*T2^6 + 74*T1^11*T2^6 + T1^12*T2^6 - 
     9*T1*T2^7 - 121*T1^2*T2^7 + 893*T1^3*T2^7 + 572*T1^4*T2^7 - 
     2776*T1^5*T2^7 + 990*T1^6*T2^7 + 990*T1^7*T2^7 - 2776*T1^8*T2^7 + 
     572*T1^9*T2^7 + 893*T1^10*T2^7 - 121*T1^11*T2^7 - 9*T1^12*T2^7 + 
     22*T1^2*T2^8 + 47*T1^3*T2^8 - 1093*T1^4*T2^8 + 572*T1^5*T2^8 + 
     2176*T1^6*T2^8 - 2776*T1^7*T2^8 + 2176*T1^8*T2^8 + 572*T1^9*T2^8 - 
     1093*T1^10*T2^8 + 47*T1^11*T2^8 + 22*T1^12*T2^8 - 27*T1^3*T2^9 + 
     47*T1^4*T2^9 + 893*T1^5*T2^9 - 1662*T1^6*T2^9 + 572*T1^7*T2^9 + 
     572*T1^8*T2^9 - 1662*T1^9*T2^9 + 893*T1^10*T2^9 + 47*T1^11*T2^9 - 
     27*T1^12*T2^9 + 22*T1^4*T2^10 - 121*T1^5*T2^10 - 191*T1^6*T2^10 + 
     893*T1^7*T2^10 - 1093*T1^8*T2^10 + 893*T1^9*T2^10 - 191*T1^10*T2^10 - 
     121*T1^11*T2^10 + 22*T1^12*T2^10 - 9*T1^5*T2^11 + 74*T1^6*T2^11 - 
     121*T1^7*T2^11 + 47*T1^8*T2^11 + 47*T1^9*T2^11 - 121*T1^10*T2^11 + 
     74*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 
     22*T1^8*T2^12 - 27*T1^9*T2^12 + 22*T1^10*T2^12 - 9*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 819] -> 
  {(3 - 12*T + 24*T^2 - 29*T^3 + 24*T^4 - 12*T^5 + 3*T^6)/T^3, 
   (30 - 120*T1 + 238*T1^2 - 286*T1^3 + 238*T1^4 - 120*T1^5 + 30*T1^6 - 
     120*T2 + 358*T1*T2 - 470*T1^2*T2 + 191*T1^3*T2 + 191*T1^4*T2 - 
     470*T1^5*T2 + 358*T1^6*T2 - 120*T1^7*T2 + 238*T2^2 - 470*T1*T2^2 + 
     188*T1^2*T2^2 + 666*T1^3*T2^2 - 928*T1^4*T2^2 + 666*T1^5*T2^2 + 
     188*T1^6*T2^2 - 470*T1^7*T2^2 + 238*T1^8*T2^2 - 286*T2^3 + 191*T1*T2^3 + 
     666*T1^2*T2^3 - 1518*T1^3*T2^3 + 568*T1^4*T2^3 + 568*T1^5*T2^3 - 
     1518*T1^6*T2^3 + 666*T1^7*T2^3 + 191*T1^8*T2^3 - 286*T1^9*T2^3 + 
     238*T2^4 + 191*T1*T2^4 - 928*T1^2*T2^4 + 568*T1^3*T2^4 + 
     1802*T1^4*T2^4 - 2444*T1^5*T2^4 + 1802*T1^6*T2^4 + 568*T1^7*T2^4 - 
     928*T1^8*T2^4 + 191*T1^9*T2^4 + 238*T1^10*T2^4 - 120*T2^5 - 
     470*T1*T2^5 + 666*T1^2*T2^5 + 568*T1^3*T2^5 - 2444*T1^4*T2^5 + 
     936*T1^5*T2^5 + 936*T1^6*T2^5 - 2444*T1^7*T2^5 + 568*T1^8*T2^5 + 
     666*T1^9*T2^5 - 470*T1^10*T2^5 - 120*T1^11*T2^5 + 30*T2^6 + 
     358*T1*T2^6 + 188*T1^2*T2^6 - 1518*T1^3*T2^6 + 1802*T1^4*T2^6 + 
     936*T1^5*T2^6 - 1704*T1^6*T2^6 + 936*T1^7*T2^6 + 1802*T1^8*T2^6 - 
     1518*T1^9*T2^6 + 188*T1^10*T2^6 + 358*T1^11*T2^6 + 30*T1^12*T2^6 - 
     120*T1*T2^7 - 470*T1^2*T2^7 + 666*T1^3*T2^7 + 568*T1^4*T2^7 - 
     2444*T1^5*T2^7 + 936*T1^6*T2^7 + 936*T1^7*T2^7 - 2444*T1^8*T2^7 + 
     568*T1^9*T2^7 + 666*T1^10*T2^7 - 470*T1^11*T2^7 - 120*T1^12*T2^7 + 
     238*T1^2*T2^8 + 191*T1^3*T2^8 - 928*T1^4*T2^8 + 568*T1^5*T2^8 + 
     1802*T1^6*T2^8 - 2444*T1^7*T2^8 + 1802*T1^8*T2^8 + 568*T1^9*T2^8 - 
     928*T1^10*T2^8 + 191*T1^11*T2^8 + 238*T1^12*T2^8 - 286*T1^3*T2^9 + 
     191*T1^4*T2^9 + 666*T1^5*T2^9 - 1518*T1^6*T2^9 + 568*T1^7*T2^9 + 
     568*T1^8*T2^9 - 1518*T1^9*T2^9 + 666*T1^10*T2^9 + 191*T1^11*T2^9 - 
     286*T1^12*T2^9 + 238*T1^4*T2^10 - 470*T1^5*T2^10 + 188*T1^6*T2^10 + 
     666*T1^7*T2^10 - 928*T1^8*T2^10 + 666*T1^9*T2^10 + 188*T1^10*T2^10 - 
     470*T1^11*T2^10 + 238*T1^12*T2^10 - 120*T1^5*T2^11 + 358*T1^6*T2^11 - 
     470*T1^7*T2^11 + 191*T1^8*T2^11 + 191*T1^9*T2^11 - 470*T1^10*T2^11 + 
     358*T1^11*T2^11 - 120*T1^12*T2^11 + 30*T1^6*T2^12 - 120*T1^7*T2^12 + 
     238*T1^8*T2^12 - 286*T1^9*T2^12 + 238*T1^10*T2^12 - 120*T1^11*T2^12 + 
     30*T1^12*T2^12)/(T1^6*T2^6)}, 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), (3 - 18*T1 + 36*T1^2 - 51*T1^3 + 57*T1^4 - 51*T1^5 + 36*T1^6 - 
     18*T1^7 + 3*T1^8 - 18*T2 + 90*T1*T2 - 104*T1^2*T2 + 85*T1^3*T2 - 
     34*T1^4*T2 - 34*T1^5*T2 + 85*T1^6*T2 - 104*T1^7*T2 + 90*T1^8*T2 - 
     18*T1^9*T2 + 36*T2^2 - 104*T1*T2^2 - 201*T1^2*T2^2 + 493*T1^3*T2^2 - 
     743*T1^4*T2^2 + 851*T1^5*T2^2 - 743*T1^6*T2^2 + 493*T1^7*T2^2 - 
     201*T1^8*T2^2 - 104*T1^9*T2^2 + 36*T1^10*T2^2 - 51*T2^3 + 85*T1*T2^3 + 
     493*T1^2*T2^3 - 518*T1^3*T2^3 + 449*T1^4*T2^3 - 191*T1^5*T2^3 - 
     191*T1^6*T2^3 + 449*T1^7*T2^3 - 518*T1^8*T2^3 + 493*T1^9*T2^3 + 
     85*T1^10*T2^3 - 51*T1^11*T2^3 + 57*T2^4 - 34*T1*T2^4 - 743*T1^2*T2^4 + 
     449*T1^3*T2^4 - 609*T1^4*T2^4 + 599*T1^5*T2^4 - 541*T1^6*T2^4 + 
     599*T1^7*T2^4 - 609*T1^8*T2^4 + 449*T1^9*T2^4 - 743*T1^10*T2^4 - 
     34*T1^11*T2^4 + 57*T1^12*T2^4 - 51*T2^5 - 34*T1*T2^5 + 851*T1^2*T2^5 - 
     191*T1^3*T2^5 + 599*T1^4*T2^5 - 352*T1^5*T2^5 + 90*T1^6*T2^5 + 
     90*T1^7*T2^5 - 352*T1^8*T2^5 + 599*T1^9*T2^5 - 191*T1^10*T2^5 + 
     851*T1^11*T2^5 - 34*T1^12*T2^5 - 51*T1^13*T2^5 + 36*T2^6 + 85*T1*T2^6 - 
     743*T1^2*T2^6 - 191*T1^3*T2^6 - 541*T1^4*T2^6 + 90*T1^5*T2^6 - 
     49*T1^6*T2^6 + 87*T1^7*T2^6 - 49*T1^8*T2^6 + 90*T1^9*T2^6 - 
     541*T1^10*T2^6 - 191*T1^11*T2^6 - 743*T1^12*T2^6 + 85*T1^13*T2^6 + 
     36*T1^14*T2^6 - 18*T2^7 - 104*T1*T2^7 + 493*T1^2*T2^7 + 449*T1^3*T2^7 + 
     599*T1^4*T2^7 + 90*T1^5*T2^7 + 87*T1^6*T2^7 - 64*T1^7*T2^7 - 
     64*T1^8*T2^7 + 87*T1^9*T2^7 + 90*T1^10*T2^7 + 599*T1^11*T2^7 + 
     449*T1^12*T2^7 + 493*T1^13*T2^7 - 104*T1^14*T2^7 - 18*T1^15*T2^7 + 
     3*T2^8 + 90*T1*T2^8 - 201*T1^2*T2^8 - 518*T1^3*T2^8 - 609*T1^4*T2^8 - 
     352*T1^5*T2^8 - 49*T1^6*T2^8 - 64*T1^7*T2^8 + 144*T1^8*T2^8 - 
     64*T1^9*T2^8 - 49*T1^10*T2^8 - 352*T1^11*T2^8 - 609*T1^12*T2^8 - 
     518*T1^13*T2^8 - 201*T1^14*T2^8 + 90*T1^15*T2^8 + 3*T1^16*T2^8 - 
     18*T1*T2^9 - 104*T1^2*T2^9 + 493*T1^3*T2^9 + 449*T1^4*T2^9 + 
     599*T1^5*T2^9 + 90*T1^6*T2^9 + 87*T1^7*T2^9 - 64*T1^8*T2^9 - 
     64*T1^9*T2^9 + 87*T1^10*T2^9 + 90*T1^11*T2^9 + 599*T1^12*T2^9 + 
     449*T1^13*T2^9 + 493*T1^14*T2^9 - 104*T1^15*T2^9 - 18*T1^16*T2^9 + 
     36*T1^2*T2^10 + 85*T1^3*T2^10 - 743*T1^4*T2^10 - 191*T1^5*T2^10 - 
     541*T1^6*T2^10 + 90*T1^7*T2^10 - 49*T1^8*T2^10 + 87*T1^9*T2^10 - 
     49*T1^10*T2^10 + 90*T1^11*T2^10 - 541*T1^12*T2^10 - 191*T1^13*T2^10 - 
     743*T1^14*T2^10 + 85*T1^15*T2^10 + 36*T1^16*T2^10 - 51*T1^3*T2^11 - 
     34*T1^4*T2^11 + 851*T1^5*T2^11 - 191*T1^6*T2^11 + 599*T1^7*T2^11 - 
     352*T1^8*T2^11 + 90*T1^9*T2^11 + 90*T1^10*T2^11 - 352*T1^11*T2^11 + 
     599*T1^12*T2^11 - 191*T1^13*T2^11 + 851*T1^14*T2^11 - 34*T1^15*T2^11 - 
     51*T1^16*T2^11 + 57*T1^4*T2^12 - 34*T1^5*T2^12 - 743*T1^6*T2^12 + 
     449*T1^7*T2^12 - 609*T1^8*T2^12 + 599*T1^9*T2^12 - 541*T1^10*T2^12 + 
     599*T1^11*T2^12 - 609*T1^12*T2^12 + 449*T1^13*T2^12 - 743*T1^14*T2^12 - 
     34*T1^15*T2^12 + 57*T1^16*T2^12 - 51*T1^5*T2^13 + 85*T1^6*T2^13 + 
     493*T1^7*T2^13 - 518*T1^8*T2^13 + 449*T1^9*T2^13 - 191*T1^10*T2^13 - 
     191*T1^11*T2^13 + 449*T1^12*T2^13 - 518*T1^13*T2^13 + 493*T1^14*T2^13 + 
     85*T1^15*T2^13 - 51*T1^16*T2^13 + 36*T1^6*T2^14 - 104*T1^7*T2^14 - 
     201*T1^8*T2^14 + 493*T1^9*T2^14 - 743*T1^10*T2^14 + 851*T1^11*T2^14 - 
     743*T1^12*T2^14 + 493*T1^13*T2^14 - 201*T1^14*T2^14 - 104*T1^15*T2^14 + 
     36*T1^16*T2^14 - 18*T1^7*T2^15 + 90*T1^8*T2^15 - 104*T1^9*T2^15 + 
     85*T1^10*T2^15 - 34*T1^11*T2^15 - 34*T1^12*T2^15 + 85*T1^13*T2^15 - 
     104*T1^14*T2^15 + 90*T1^15*T2^15 - 18*T1^16*T2^15 + 3*T1^8*T2^16 - 
     18*T1^9*T2^16 + 36*T1^10*T2^16 - 51*T1^11*T2^16 + 57*T1^12*T2^16 - 
     51*T1^13*T2^16 + 36*T1^14*T2^16 - 18*T1^15*T2^16 + 3*T1^16*T2^16)/
    (T1^8*T2^8)}, 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), 
   (1 - 3*T1 + 5*T1^2 - 6*T1^3 + 5*T1^4 - 6*T1^5 + 5*T1^6 - 3*T1^7 + T1^8 - 
     3*T2 + 6*T1*T2 - 6*T1^2*T2 + 3*T1^3*T2 + 3*T1^4*T2 + 3*T1^5*T2 + 
     3*T1^6*T2 - 6*T1^7*T2 + 6*T1^8*T2 - 3*T1^9*T2 + 5*T2^2 - 6*T1*T2^2 + 
     T1^2*T2^2 + 6*T1^3*T2^2 - 13*T1^4*T2^2 - 3*T1^5*T2^2 - 13*T1^6*T2^2 + 
     6*T1^7*T2^2 + T1^8*T2^2 - 6*T1^9*T2^2 + 5*T1^10*T2^2 - 6*T2^3 + 
     3*T1*T2^3 + 6*T1^2*T2^3 - 12*T1^3*T2^3 + 12*T1^4*T2^3 + 12*T1^5*T2^3 + 
     12*T1^6*T2^3 + 12*T1^7*T2^3 - 12*T1^8*T2^3 + 6*T1^9*T2^3 + 
     3*T1^10*T2^3 - 6*T1^11*T2^3 + 5*T2^4 + 3*T1*T2^4 - 13*T1^2*T2^4 + 
     12*T1^3*T2^4 - 4*T1^4*T2^4 - 10*T1^5*T2^4 - 20*T1^6*T2^4 - 
     10*T1^7*T2^4 - 4*T1^8*T2^4 + 12*T1^9*T2^4 - 13*T1^10*T2^4 + 
     3*T1^11*T2^4 + 5*T1^12*T2^4 - 6*T2^5 + 3*T1*T2^5 - 3*T1^2*T2^5 + 
     12*T1^3*T2^5 - 10*T1^4*T2^5 - 2*T1^5*T2^5 + 15*T1^6*T2^5 + 
     15*T1^7*T2^5 - 2*T1^8*T2^5 - 10*T1^9*T2^5 + 12*T1^10*T2^5 - 
     3*T1^11*T2^5 + 3*T1^12*T2^5 - 6*T1^13*T2^5 + 5*T2^6 + 3*T1*T2^6 - 
     13*T1^2*T2^6 + 12*T1^3*T2^6 - 20*T1^4*T2^6 + 15*T1^5*T2^6 + 
     23*T1^6*T2^6 - 33*T1^7*T2^6 + 23*T1^8*T2^6 + 15*T1^9*T2^6 - 
     20*T1^10*T2^6 + 12*T1^11*T2^6 - 13*T1^12*T2^6 + 3*T1^13*T2^6 + 
     5*T1^14*T2^6 - 3*T2^7 - 6*T1*T2^7 + 6*T1^2*T2^7 + 12*T1^3*T2^7 - 
     10*T1^4*T2^7 + 15*T1^5*T2^7 - 33*T1^6*T2^7 - 8*T1^7*T2^7 - 8*T1^8*T2^7 - 
     33*T1^9*T2^7 + 15*T1^10*T2^7 - 10*T1^11*T2^7 + 12*T1^12*T2^7 + 
     6*T1^13*T2^7 - 6*T1^14*T2^7 - 3*T1^15*T2^7 + T2^8 + 6*T1*T2^8 + 
     T1^2*T2^8 - 12*T1^3*T2^8 - 4*T1^4*T2^8 - 2*T1^5*T2^8 + 23*T1^6*T2^8 - 
     8*T1^7*T2^8 + 60*T1^8*T2^8 - 8*T1^9*T2^8 + 23*T1^10*T2^8 - 
     2*T1^11*T2^8 - 4*T1^12*T2^8 - 12*T1^13*T2^8 + T1^14*T2^8 + 
     6*T1^15*T2^8 + T1^16*T2^8 - 3*T1*T2^9 - 6*T1^2*T2^9 + 6*T1^3*T2^9 + 
     12*T1^4*T2^9 - 10*T1^5*T2^9 + 15*T1^6*T2^9 - 33*T1^7*T2^9 - 
     8*T1^8*T2^9 - 8*T1^9*T2^9 - 33*T1^10*T2^9 + 15*T1^11*T2^9 - 
     10*T1^12*T2^9 + 12*T1^13*T2^9 + 6*T1^14*T2^9 - 6*T1^15*T2^9 - 
     3*T1^16*T2^9 + 5*T1^2*T2^10 + 3*T1^3*T2^10 - 13*T1^4*T2^10 + 
     12*T1^5*T2^10 - 20*T1^6*T2^10 + 15*T1^7*T2^10 + 23*T1^8*T2^10 - 
     33*T1^9*T2^10 + 23*T1^10*T2^10 + 15*T1^11*T2^10 - 20*T1^12*T2^10 + 
     12*T1^13*T2^10 - 13*T1^14*T2^10 + 3*T1^15*T2^10 + 5*T1^16*T2^10 - 
     6*T1^3*T2^11 + 3*T1^4*T2^11 - 3*T1^5*T2^11 + 12*T1^6*T2^11 - 
     10*T1^7*T2^11 - 2*T1^8*T2^11 + 15*T1^9*T2^11 + 15*T1^10*T2^11 - 
     2*T1^11*T2^11 - 10*T1^12*T2^11 + 12*T1^13*T2^11 - 3*T1^14*T2^11 + 
     3*T1^15*T2^11 - 6*T1^16*T2^11 + 5*T1^4*T2^12 + 3*T1^5*T2^12 - 
     13*T1^6*T2^12 + 12*T1^7*T2^12 - 4*T1^8*T2^12 - 10*T1^9*T2^12 - 
     20*T1^10*T2^12 - 10*T1^11*T2^12 - 4*T1^12*T2^12 + 12*T1^13*T2^12 - 
     13*T1^14*T2^12 + 3*T1^15*T2^12 + 5*T1^16*T2^12 - 6*T1^5*T2^13 + 
     3*T1^6*T2^13 + 6*T1^7*T2^13 - 12*T1^8*T2^13 + 12*T1^9*T2^13 + 
     12*T1^10*T2^13 + 12*T1^11*T2^13 + 12*T1^12*T2^13 - 12*T1^13*T2^13 + 
     6*T1^14*T2^13 + 3*T1^15*T2^13 - 6*T1^16*T2^13 + 5*T1^6*T2^14 - 
     6*T1^7*T2^14 + T1^8*T2^14 + 6*T1^9*T2^14 - 13*T1^10*T2^14 - 
     3*T1^11*T2^14 - 13*T1^12*T2^14 + 6*T1^13*T2^14 + T1^14*T2^14 - 
     6*T1^15*T2^14 + 5*T1^16*T2^14 - 3*T1^7*T2^15 + 6*T1^8*T2^15 - 
     6*T1^9*T2^15 + 3*T1^10*T2^15 + 3*T1^11*T2^15 + 3*T1^12*T2^15 + 
     3*T1^13*T2^15 - 6*T1^14*T2^15 + 6*T1^15*T2^15 - 3*T1^16*T2^15 + 
     T1^8*T2^16 - 3*T1^9*T2^16 + 5*T1^10*T2^16 - 6*T1^11*T2^16 + 
     5*T1^12*T2^16 - 6*T1^13*T2^16 + 5*T1^14*T2^16 - 3*T1^15*T2^16 + 
     T1^16*T2^16)/(T1^8*T2^8)}, 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), 
   -((1 - 3*T1 + 6*T1^2 - 11*T1^3 + 13*T1^4 - 11*T1^5 + 6*T1^6 - 3*T1^7 + 
      T1^8 - 3*T2 + 6*T1*T2 - 9*T1^2*T2 + 15*T1^3*T2 - 6*T1^4*T2 - 
      6*T1^5*T2 + 15*T1^6*T2 - 9*T1^7*T2 + 6*T1^8*T2 - 3*T1^9*T2 + 6*T2^2 - 
      9*T1*T2^2 + 16*T1^2*T2^2 - 35*T1^3*T2^2 + 22*T1^4*T2^2 - 22*T1^5*T2^2 + 
      22*T1^6*T2^2 - 35*T1^7*T2^2 + 16*T1^8*T2^2 - 9*T1^9*T2^2 + 
      6*T1^10*T2^2 - 11*T2^3 + 15*T1*T2^3 - 35*T1^2*T2^3 + 74*T1^3*T2^3 - 
      32*T1^4*T2^3 + 23*T1^5*T2^3 + 23*T1^6*T2^3 - 32*T1^7*T2^3 + 
      74*T1^8*T2^3 - 35*T1^9*T2^3 + 15*T1^10*T2^3 - 11*T1^11*T2^3 + 13*T2^4 - 
      6*T1*T2^4 + 22*T1^2*T2^4 - 32*T1^3*T2^4 - 95*T1^4*T2^4 + 93*T1^5*T2^4 - 
      151*T1^6*T2^4 + 93*T1^7*T2^4 - 95*T1^8*T2^4 - 32*T1^9*T2^4 + 
      22*T1^10*T2^4 - 6*T1^11*T2^4 + 13*T1^12*T2^4 - 11*T2^5 - 6*T1*T2^5 - 
      22*T1^2*T2^5 + 23*T1^3*T2^5 + 93*T1^4*T2^5 + 40*T1^5*T2^5 + 
      34*T1^6*T2^5 + 34*T1^7*T2^5 + 40*T1^8*T2^5 + 93*T1^9*T2^5 + 
      23*T1^10*T2^5 - 22*T1^11*T2^5 - 6*T1^12*T2^5 - 11*T1^13*T2^5 + 6*T2^6 + 
      15*T1*T2^6 + 22*T1^2*T2^6 + 23*T1^3*T2^6 - 151*T1^4*T2^6 + 
      34*T1^5*T2^6 - 323*T1^6*T2^6 + 277*T1^7*T2^6 - 323*T1^8*T2^6 + 
      34*T1^9*T2^6 - 151*T1^10*T2^6 + 23*T1^11*T2^6 + 22*T1^12*T2^6 + 
      15*T1^13*T2^6 + 6*T1^14*T2^6 - 3*T2^7 - 9*T1*T2^7 - 35*T1^2*T2^7 - 
      32*T1^3*T2^7 + 93*T1^4*T2^7 + 34*T1^5*T2^7 + 277*T1^6*T2^7 - 
      18*T1^7*T2^7 - 18*T1^8*T2^7 + 277*T1^9*T2^7 + 34*T1^10*T2^7 + 
      93*T1^11*T2^7 - 32*T1^12*T2^7 - 35*T1^13*T2^7 - 9*T1^14*T2^7 - 
      3*T1^15*T2^7 + T2^8 + 6*T1*T2^8 + 16*T1^2*T2^8 + 74*T1^3*T2^8 - 
      95*T1^4*T2^8 + 40*T1^5*T2^8 - 323*T1^6*T2^8 - 18*T1^7*T2^8 - 
      72*T1^8*T2^8 - 18*T1^9*T2^8 - 323*T1^10*T2^8 + 40*T1^11*T2^8 - 
      95*T1^12*T2^8 + 74*T1^13*T2^8 + 16*T1^14*T2^8 + 6*T1^15*T2^8 + 
      T1^16*T2^8 - 3*T1*T2^9 - 9*T1^2*T2^9 - 35*T1^3*T2^9 - 32*T1^4*T2^9 + 
      93*T1^5*T2^9 + 34*T1^6*T2^9 + 277*T1^7*T2^9 - 18*T1^8*T2^9 - 
      18*T1^9*T2^9 + 277*T1^10*T2^9 + 34*T1^11*T2^9 + 93*T1^12*T2^9 - 
      32*T1^13*T2^9 - 35*T1^14*T2^9 - 9*T1^15*T2^9 - 3*T1^16*T2^9 + 
      6*T1^2*T2^10 + 15*T1^3*T2^10 + 22*T1^4*T2^10 + 23*T1^5*T2^10 - 
      151*T1^6*T2^10 + 34*T1^7*T2^10 - 323*T1^8*T2^10 + 277*T1^9*T2^10 - 
      323*T1^10*T2^10 + 34*T1^11*T2^10 - 151*T1^12*T2^10 + 23*T1^13*T2^10 + 
      22*T1^14*T2^10 + 15*T1^15*T2^10 + 6*T1^16*T2^10 - 11*T1^3*T2^11 - 
      6*T1^4*T2^11 - 22*T1^5*T2^11 + 23*T1^6*T2^11 + 93*T1^7*T2^11 + 
      40*T1^8*T2^11 + 34*T1^9*T2^11 + 34*T1^10*T2^11 + 40*T1^11*T2^11 + 
      93*T1^12*T2^11 + 23*T1^13*T2^11 - 22*T1^14*T2^11 - 6*T1^15*T2^11 - 
      11*T1^16*T2^11 + 13*T1^4*T2^12 - 6*T1^5*T2^12 + 22*T1^6*T2^12 - 
      32*T1^7*T2^12 - 95*T1^8*T2^12 + 93*T1^9*T2^12 - 151*T1^10*T2^12 + 
      93*T1^11*T2^12 - 95*T1^12*T2^12 - 32*T1^13*T2^12 + 22*T1^14*T2^12 - 
      6*T1^15*T2^12 + 13*T1^16*T2^12 - 11*T1^5*T2^13 + 15*T1^6*T2^13 - 
      35*T1^7*T2^13 + 74*T1^8*T2^13 - 32*T1^9*T2^13 + 23*T1^10*T2^13 + 
      23*T1^11*T2^13 - 32*T1^12*T2^13 + 74*T1^13*T2^13 - 35*T1^14*T2^13 + 
      15*T1^15*T2^13 - 11*T1^16*T2^13 + 6*T1^6*T2^14 - 9*T1^7*T2^14 + 
      16*T1^8*T2^14 - 35*T1^9*T2^14 + 22*T1^10*T2^14 - 22*T1^11*T2^14 + 
      22*T1^12*T2^14 - 35*T1^13*T2^14 + 16*T1^14*T2^14 - 9*T1^15*T2^14 + 
      6*T1^16*T2^14 - 3*T1^7*T2^15 + 6*T1^8*T2^15 - 9*T1^9*T2^15 + 
      15*T1^10*T2^15 - 6*T1^11*T2^15 - 6*T1^12*T2^15 + 15*T1^13*T2^15 - 
      9*T1^14*T2^15 + 6*T1^15*T2^15 - 3*T1^16*T2^15 + T1^8*T2^16 - 
      3*T1^9*T2^16 + 6*T1^10*T2^16 - 11*T1^11*T2^16 + 13*T1^12*T2^16 - 
      11*T1^13*T2^16 + 6*T1^14*T2^16 - 3*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, NonAlternating, 823] -> 
  {-((2 - 12*T + 24*T^2 - 29*T^3 + 24*T^4 - 12*T^5 + 2*T^6)/T^3), 
   (17 - 102*T1 + 203*T1^2 - 245*T1^3 + 203*T1^4 - 102*T1^5 + 17*T1^6 - 
     102*T2 + 510*T1*T2 - 582*T1^2*T2 + 232*T1^3*T2 + 232*T1^4*T2 - 
     582*T1^5*T2 + 510*T1^6*T2 - 102*T1^7*T2 + 203*T2^2 - 582*T1*T2^2 - 
     1190*T1^2*T2^2 + 3299*T1^3*T2^2 - 4038*T1^4*T2^2 + 3299*T1^5*T2^2 - 
     1190*T1^6*T2^2 - 582*T1^7*T2^2 + 203*T1^8*T2^2 - 245*T2^3 + 
     232*T1*T2^3 + 3299*T1^2*T2^3 - 3966*T1^3*T2^3 + 1493*T1^4*T2^3 + 
     1493*T1^5*T2^3 - 3966*T1^6*T2^3 + 3299*T1^7*T2^3 + 232*T1^8*T2^3 - 
     245*T1^9*T2^3 + 203*T2^4 + 232*T1*T2^4 - 4038*T1^2*T2^4 + 
     1493*T1^3*T2^4 + 1794*T1^4*T2^4 - 2488*T1^5*T2^4 + 1794*T1^6*T2^4 + 
     1493*T1^7*T2^4 - 4038*T1^8*T2^4 + 232*T1^9*T2^4 + 203*T1^10*T2^4 - 
     102*T2^5 - 582*T1*T2^5 + 3299*T1^2*T2^5 + 1493*T1^3*T2^5 - 
     2488*T1^4*T2^5 + 624*T1^5*T2^5 + 624*T1^6*T2^5 - 2488*T1^7*T2^5 + 
     1493*T1^8*T2^5 + 3299*T1^9*T2^5 - 582*T1^10*T2^5 - 102*T1^11*T2^5 + 
     17*T2^6 + 510*T1*T2^6 - 1190*T1^2*T2^6 - 3966*T1^3*T2^6 + 
     1794*T1^4*T2^6 + 624*T1^5*T2^6 - 624*T1^6*T2^6 + 624*T1^7*T2^6 + 
     1794*T1^8*T2^6 - 3966*T1^9*T2^6 - 1190*T1^10*T2^6 + 510*T1^11*T2^6 + 
     17*T1^12*T2^6 - 102*T1*T2^7 - 582*T1^2*T2^7 + 3299*T1^3*T2^7 + 
     1493*T1^4*T2^7 - 2488*T1^5*T2^7 + 624*T1^6*T2^7 + 624*T1^7*T2^7 - 
     2488*T1^8*T2^7 + 1493*T1^9*T2^7 + 3299*T1^10*T2^7 - 582*T1^11*T2^7 - 
     102*T1^12*T2^7 + 203*T1^2*T2^8 + 232*T1^3*T2^8 - 4038*T1^4*T2^8 + 
     1493*T1^5*T2^8 + 1794*T1^6*T2^8 - 2488*T1^7*T2^8 + 1794*T1^8*T2^8 + 
     1493*T1^9*T2^8 - 4038*T1^10*T2^8 + 232*T1^11*T2^8 + 203*T1^12*T2^8 - 
     245*T1^3*T2^9 + 232*T1^4*T2^9 + 3299*T1^5*T2^9 - 3966*T1^6*T2^9 + 
     1493*T1^7*T2^9 + 1493*T1^8*T2^9 - 3966*T1^9*T2^9 + 3299*T1^10*T2^9 + 
     232*T1^11*T2^9 - 245*T1^12*T2^9 + 203*T1^4*T2^10 - 582*T1^5*T2^10 - 
     1190*T1^6*T2^10 + 3299*T1^7*T2^10 - 4038*T1^8*T2^10 + 3299*T1^9*T2^10 - 
     1190*T1^10*T2^10 - 582*T1^11*T2^10 + 203*T1^12*T2^10 - 102*T1^5*T2^11 + 
     510*T1^6*T2^11 - 582*T1^7*T2^11 + 232*T1^8*T2^11 + 232*T1^9*T2^11 - 
     582*T1^10*T2^11 + 510*T1^11*T2^11 - 102*T1^12*T2^11 + 17*T1^6*T2^12 - 
     102*T1^7*T2^12 + 203*T1^8*T2^12 - 245*T1^9*T2^12 + 203*T1^10*T2^12 - 
     102*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 824] -> 
  {-((2 - 7*T + 14*T^2 - 19*T^3 + 14*T^4 - 7*T^5 + 2*T^6)/T^3), 
   (1 - 3*T1 + 5*T1^2 - 7*T1^3 + 5*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 - 
     6*T1^2*T2 + 6*T1^3*T2 + 6*T1^4*T2 - 6*T1^5*T2 + 6*T1^6*T2 - 3*T1^7*T2 + 
     5*T2^2 - 6*T1*T2^2 - 39*T1^2*T2^2 + 123*T1^3*T2^2 - 171*T1^4*T2^2 + 
     123*T1^5*T2^2 - 39*T1^6*T2^2 - 6*T1^7*T2^2 + 5*T1^8*T2^2 - 7*T2^3 + 
     6*T1*T2^3 + 123*T1^2*T2^3 - 248*T1^3*T2^3 + 103*T1^4*T2^3 + 
     103*T1^5*T2^3 - 248*T1^6*T2^3 + 123*T1^7*T2^3 + 6*T1^8*T2^3 - 
     7*T1^9*T2^3 + 5*T2^4 + 6*T1*T2^4 - 171*T1^2*T2^4 + 103*T1^3*T2^4 + 
     374*T1^4*T2^4 - 452*T1^5*T2^4 + 374*T1^6*T2^4 + 103*T1^7*T2^4 - 
     171*T1^8*T2^4 + 6*T1^9*T2^4 + 5*T1^10*T2^4 - 3*T2^5 - 6*T1*T2^5 + 
     123*T1^2*T2^5 + 103*T1^3*T2^5 - 452*T1^4*T2^5 + 60*T1^5*T2^5 + 
     60*T1^6*T2^5 - 452*T1^7*T2^5 + 103*T1^8*T2^5 + 123*T1^9*T2^5 - 
     6*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 6*T1*T2^6 - 39*T1^2*T2^6 - 
     248*T1^3*T2^6 + 374*T1^4*T2^6 + 60*T1^5*T2^6 + 120*T1^6*T2^6 + 
     60*T1^7*T2^6 + 374*T1^8*T2^6 - 248*T1^9*T2^6 - 39*T1^10*T2^6 + 
     6*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 - 6*T1^2*T2^7 + 123*T1^3*T2^7 + 
     103*T1^4*T2^7 - 452*T1^5*T2^7 + 60*T1^6*T2^7 + 60*T1^7*T2^7 - 
     452*T1^8*T2^7 + 103*T1^9*T2^7 + 123*T1^10*T2^7 - 6*T1^11*T2^7 - 
     3*T1^12*T2^7 + 5*T1^2*T2^8 + 6*T1^3*T2^8 - 171*T1^4*T2^8 + 
     103*T1^5*T2^8 + 374*T1^6*T2^8 - 452*T1^7*T2^8 + 374*T1^8*T2^8 + 
     103*T1^9*T2^8 - 171*T1^10*T2^8 + 6*T1^11*T2^8 + 5*T1^12*T2^8 - 
     7*T1^3*T2^9 + 6*T1^4*T2^9 + 123*T1^5*T2^9 - 248*T1^6*T2^9 + 
     103*T1^7*T2^9 + 103*T1^8*T2^9 - 248*T1^9*T2^9 + 123*T1^10*T2^9 + 
     6*T1^11*T2^9 - 7*T1^12*T2^9 + 5*T1^4*T2^10 - 6*T1^5*T2^10 - 
     39*T1^6*T2^10 + 123*T1^7*T2^10 - 171*T1^8*T2^10 + 123*T1^9*T2^10 - 
     39*T1^10*T2^10 - 6*T1^11*T2^10 + 5*T1^12*T2^10 - 3*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 - 3*T1^12*T2^11 + T1^6*T2^12 - 
     3*T1^7*T2^12 + 5*T1^8*T2^12 - 7*T1^9*T2^12 + 5*T1^10*T2^12 - 
     3*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 825] -> 
  {-(((1 - T + T^2)*(2 - 4*T + 3*T^2 - 4*T^3 + 2*T^4))/T^3), 
   -((1 - 3*T1 + 5*T1^2 - 7*T1^3 + 5*T1^4 - 3*T1^5 + T1^6 - 3*T2 + 6*T1*T2 - 
      6*T1^2*T2 + 6*T1^3*T2 + 6*T1^4*T2 - 6*T1^5*T2 + 6*T1^6*T2 - 3*T1^7*T2 + 
      5*T2^2 - 6*T1*T2^2 + 15*T1^2*T2^2 - 53*T1^3*T2^2 + 53*T1^4*T2^2 - 
      53*T1^5*T2^2 + 15*T1^6*T2^2 - 6*T1^7*T2^2 + 5*T1^8*T2^2 - 7*T2^3 + 
      6*T1*T2^3 - 53*T1^2*T2^3 + 140*T1^3*T2^3 - 38*T1^4*T2^3 - 
      38*T1^5*T2^3 + 140*T1^6*T2^3 - 53*T1^7*T2^3 + 6*T1^8*T2^3 - 
      7*T1^9*T2^3 + 5*T2^4 + 6*T1*T2^4 + 53*T1^2*T2^4 - 38*T1^3*T2^4 - 
      310*T1^4*T2^4 + 324*T1^5*T2^4 - 310*T1^6*T2^4 - 38*T1^7*T2^4 + 
      53*T1^8*T2^4 + 6*T1^9*T2^4 + 5*T1^10*T2^4 - 3*T2^5 - 6*T1*T2^5 - 
      53*T1^2*T2^5 - 38*T1^3*T2^5 + 324*T1^4*T2^5 - 20*T1^5*T2^5 - 
      20*T1^6*T2^5 + 324*T1^7*T2^5 - 38*T1^8*T2^5 - 53*T1^9*T2^5 - 
      6*T1^10*T2^5 - 3*T1^11*T2^5 + T2^6 + 6*T1*T2^6 + 15*T1^2*T2^6 + 
      140*T1^3*T2^6 - 310*T1^4*T2^6 - 20*T1^5*T2^6 - 144*T1^6*T2^6 - 
      20*T1^7*T2^6 - 310*T1^8*T2^6 + 140*T1^9*T2^6 + 15*T1^10*T2^6 + 
      6*T1^11*T2^6 + T1^12*T2^6 - 3*T1*T2^7 - 6*T1^2*T2^7 - 53*T1^3*T2^7 - 
      38*T1^4*T2^7 + 324*T1^5*T2^7 - 20*T1^6*T2^7 - 20*T1^7*T2^7 + 
      324*T1^8*T2^7 - 38*T1^9*T2^7 - 53*T1^10*T2^7 - 6*T1^11*T2^7 - 
      3*T1^12*T2^7 + 5*T1^2*T2^8 + 6*T1^3*T2^8 + 53*T1^4*T2^8 - 
      38*T1^5*T2^8 - 310*T1^6*T2^8 + 324*T1^7*T2^8 - 310*T1^8*T2^8 - 
      38*T1^9*T2^8 + 53*T1^10*T2^8 + 6*T1^11*T2^8 + 5*T1^12*T2^8 - 
      7*T1^3*T2^9 + 6*T1^4*T2^9 - 53*T1^5*T2^9 + 140*T1^6*T2^9 - 
      38*T1^7*T2^9 - 38*T1^8*T2^9 + 140*T1^9*T2^9 - 53*T1^10*T2^9 + 
      6*T1^11*T2^9 - 7*T1^12*T2^9 + 5*T1^4*T2^10 - 6*T1^5*T2^10 + 
      15*T1^6*T2^10 - 53*T1^7*T2^10 + 53*T1^8*T2^10 - 53*T1^9*T2^10 + 
      15*T1^10*T2^10 - 6*T1^11*T2^10 + 5*T1^12*T2^10 - 3*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 - 3*T1^12*T2^11 + T1^6*T2^12 - 
      3*T1^7*T2^12 + 5*T1^8*T2^12 - 7*T1^9*T2^12 + 5*T1^10*T2^12 - 
      3*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 826] -> 
  {((1 - T + T^2)*(1 - 8*T + 15*T^2 - 8*T^3 + T^4))/T^3, 
   (1 - 9*T1 + 24*T1^2 - 31*T1^3 + 24*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
     74*T1*T2 - 136*T1^2*T2 + 60*T1^3*T2 + 60*T1^4*T2 - 136*T1^5*T2 + 
     74*T1^6*T2 - 9*T1^7*T2 + 24*T2^2 - 136*T1*T2^2 - 199*T1^2*T2^2 + 
     1161*T1^3*T2^2 - 1531*T1^4*T2^2 + 1161*T1^5*T2^2 - 199*T1^6*T2^2 - 
     136*T1^7*T2^2 + 24*T1^8*T2^2 - 31*T2^3 + 60*T1*T2^3 + 1161*T1^2*T2^3 - 
     2580*T1^3*T2^3 + 1066*T1^4*T2^3 + 1066*T1^5*T2^3 - 2580*T1^6*T2^3 + 
     1161*T1^7*T2^3 + 60*T1^8*T2^3 - 31*T1^9*T2^3 + 24*T2^4 + 60*T1*T2^4 - 
     1531*T1^2*T2^4 + 1066*T1^3*T2^4 + 3781*T1^4*T2^4 - 5301*T1^5*T2^4 + 
     3781*T1^6*T2^4 + 1066*T1^7*T2^4 - 1531*T1^8*T2^4 + 60*T1^9*T2^4 + 
     24*T1^10*T2^4 - 9*T2^5 - 136*T1*T2^5 + 1161*T1^2*T2^5 + 1066*T1^3*T2^5 - 
     5301*T1^4*T2^5 + 2036*T1^5*T2^5 + 2036*T1^6*T2^5 - 5301*T1^7*T2^5 + 
     1066*T1^8*T2^5 + 1161*T1^9*T2^5 - 136*T1^10*T2^5 - 9*T1^11*T2^5 + T2^6 + 
     74*T1*T2^6 - 199*T1^2*T2^6 - 2580*T1^3*T2^6 + 3781*T1^4*T2^6 + 
     2036*T1^5*T2^6 - 3492*T1^6*T2^6 + 2036*T1^7*T2^6 + 3781*T1^8*T2^6 - 
     2580*T1^9*T2^6 - 199*T1^10*T2^6 + 74*T1^11*T2^6 + T1^12*T2^6 - 
     9*T1*T2^7 - 136*T1^2*T2^7 + 1161*T1^3*T2^7 + 1066*T1^4*T2^7 - 
     5301*T1^5*T2^7 + 2036*T1^6*T2^7 + 2036*T1^7*T2^7 - 5301*T1^8*T2^7 + 
     1066*T1^9*T2^7 + 1161*T1^10*T2^7 - 136*T1^11*T2^7 - 9*T1^12*T2^7 + 
     24*T1^2*T2^8 + 60*T1^3*T2^8 - 1531*T1^4*T2^8 + 1066*T1^5*T2^8 + 
     3781*T1^6*T2^8 - 5301*T1^7*T2^8 + 3781*T1^8*T2^8 + 1066*T1^9*T2^8 - 
     1531*T1^10*T2^8 + 60*T1^11*T2^8 + 24*T1^12*T2^8 - 31*T1^3*T2^9 + 
     60*T1^4*T2^9 + 1161*T1^5*T2^9 - 2580*T1^6*T2^9 + 1066*T1^7*T2^9 + 
     1066*T1^8*T2^9 - 2580*T1^9*T2^9 + 1161*T1^10*T2^9 + 60*T1^11*T2^9 - 
     31*T1^12*T2^9 + 24*T1^4*T2^10 - 136*T1^5*T2^10 - 199*T1^6*T2^10 + 
     1161*T1^7*T2^10 - 1531*T1^8*T2^10 + 1161*T1^9*T2^10 - 199*T1^10*T2^10 - 
     136*T1^11*T2^10 + 24*T1^12*T2^10 - 9*T1^5*T2^11 + 74*T1^6*T2^11 - 
     136*T1^7*T2^11 + 60*T1^8*T2^11 + 60*T1^9*T2^11 - 136*T1^10*T2^11 + 
     74*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 
     24*T1^8*T2^12 - 31*T1^9*T2^12 + 24*T1^10*T2^12 - 9*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, 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), -((1 - 5*T1 + 14*T1^2 - 25*T1^3 + 29*T1^4 - 25*T1^5 + 14*T1^6 - 
      5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 45*T1^2*T2 + 55*T1^3*T2 - 
      20*T1^4*T2 - 20*T1^5*T2 + 55*T1^6*T2 - 45*T1^7*T2 + 20*T1^8*T2 - 
      5*T1^9*T2 + 14*T2^2 - 45*T1*T2^2 + 81*T1^2*T2^2 - 55*T1^3*T2^2 - 
      56*T1^4*T2^2 + 71*T1^5*T2^2 - 56*T1^6*T2^2 - 55*T1^7*T2^2 + 
      81*T1^8*T2^2 - 45*T1^9*T2^2 + 14*T1^10*T2^2 - 25*T2^3 + 55*T1*T2^3 - 
      55*T1^2*T2^3 - 70*T1^3*T2^3 + 235*T1^4*T2^3 - 53*T1^5*T2^3 - 
      53*T1^6*T2^3 + 235*T1^7*T2^3 - 70*T1^8*T2^3 - 55*T1^9*T2^3 + 
      55*T1^10*T2^3 - 25*T1^11*T2^3 + 29*T2^4 - 20*T1*T2^4 - 56*T1^2*T2^4 + 
      235*T1^3*T2^4 - 225*T1^4*T2^4 - 351*T1^5*T2^4 + 343*T1^6*T2^4 - 
      351*T1^7*T2^4 - 225*T1^8*T2^4 + 235*T1^9*T2^4 - 56*T1^10*T2^4 - 
      20*T1^11*T2^4 + 29*T1^12*T2^4 - 25*T2^5 - 20*T1*T2^5 + 71*T1^2*T2^5 - 
      53*T1^3*T2^5 - 351*T1^4*T2^5 + 1010*T1^5*T2^5 - 217*T1^6*T2^5 - 
      217*T1^7*T2^5 + 1010*T1^8*T2^5 - 351*T1^9*T2^5 - 53*T1^10*T2^5 + 
      71*T1^11*T2^5 - 20*T1^12*T2^5 - 25*T1^13*T2^5 + 14*T2^6 + 55*T1*T2^6 - 
      56*T1^2*T2^6 - 53*T1^3*T2^6 + 343*T1^4*T2^6 - 217*T1^5*T2^6 - 
      1540*T1^6*T2^6 + 1638*T1^7*T2^6 - 1540*T1^8*T2^6 - 217*T1^9*T2^6 + 
      343*T1^10*T2^6 - 53*T1^11*T2^6 - 56*T1^12*T2^6 + 55*T1^13*T2^6 + 
      14*T1^14*T2^6 - 5*T2^7 - 45*T1*T2^7 - 55*T1^2*T2^7 + 235*T1^3*T2^7 - 
      351*T1^4*T2^7 - 217*T1^5*T2^7 + 1638*T1^6*T2^7 - 398*T1^7*T2^7 - 
      398*T1^8*T2^7 + 1638*T1^9*T2^7 - 217*T1^10*T2^7 - 351*T1^11*T2^7 + 
      235*T1^12*T2^7 - 55*T1^13*T2^7 - 45*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 
      20*T1*T2^8 + 81*T1^2*T2^8 - 70*T1^3*T2^8 - 225*T1^4*T2^8 + 
      1010*T1^5*T2^8 - 1540*T1^6*T2^8 - 398*T1^7*T2^8 + 516*T1^8*T2^8 - 
      398*T1^9*T2^8 - 1540*T1^10*T2^8 + 1010*T1^11*T2^8 - 225*T1^12*T2^8 - 
      70*T1^13*T2^8 + 81*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 
      5*T1*T2^9 - 45*T1^2*T2^9 - 55*T1^3*T2^9 + 235*T1^4*T2^9 - 
      351*T1^5*T2^9 - 217*T1^6*T2^9 + 1638*T1^7*T2^9 - 398*T1^8*T2^9 - 
      398*T1^9*T2^9 + 1638*T1^10*T2^9 - 217*T1^11*T2^9 - 351*T1^12*T2^9 + 
      235*T1^13*T2^9 - 55*T1^14*T2^9 - 45*T1^15*T2^9 - 5*T1^16*T2^9 + 
      14*T1^2*T2^10 + 55*T1^3*T2^10 - 56*T1^4*T2^10 - 53*T1^5*T2^10 + 
      343*T1^6*T2^10 - 217*T1^7*T2^10 - 1540*T1^8*T2^10 + 1638*T1^9*T2^10 - 
      1540*T1^10*T2^10 - 217*T1^11*T2^10 + 343*T1^12*T2^10 - 53*T1^13*T2^10 - 
      56*T1^14*T2^10 + 55*T1^15*T2^10 + 14*T1^16*T2^10 - 25*T1^3*T2^11 - 
      20*T1^4*T2^11 + 71*T1^5*T2^11 - 53*T1^6*T2^11 - 351*T1^7*T2^11 + 
      1010*T1^8*T2^11 - 217*T1^9*T2^11 - 217*T1^10*T2^11 + 1010*T1^11*T2^11 - 
      351*T1^12*T2^11 - 53*T1^13*T2^11 + 71*T1^14*T2^11 - 20*T1^15*T2^11 - 
      25*T1^16*T2^11 + 29*T1^4*T2^12 - 20*T1^5*T2^12 - 56*T1^6*T2^12 + 
      235*T1^7*T2^12 - 225*T1^8*T2^12 - 351*T1^9*T2^12 + 343*T1^10*T2^12 - 
      351*T1^11*T2^12 - 225*T1^12*T2^12 + 235*T1^13*T2^12 - 56*T1^14*T2^12 - 
      20*T1^15*T2^12 + 29*T1^16*T2^12 - 25*T1^5*T2^13 + 55*T1^6*T2^13 - 
      55*T1^7*T2^13 - 70*T1^8*T2^13 + 235*T1^9*T2^13 - 53*T1^10*T2^13 - 
      53*T1^11*T2^13 + 235*T1^12*T2^13 - 70*T1^13*T2^13 - 55*T1^14*T2^13 + 
      55*T1^15*T2^13 - 25*T1^16*T2^13 + 14*T1^6*T2^14 - 45*T1^7*T2^14 + 
      81*T1^8*T2^14 - 55*T1^9*T2^14 - 56*T1^10*T2^14 + 71*T1^11*T2^14 - 
      56*T1^12*T2^14 - 55*T1^13*T2^14 + 81*T1^14*T2^14 - 45*T1^15*T2^14 + 
      14*T1^16*T2^14 - 5*T1^7*T2^15 + 20*T1^8*T2^15 - 45*T1^9*T2^15 + 
      55*T1^10*T2^15 - 20*T1^11*T2^15 - 20*T1^12*T2^15 + 55*T1^13*T2^15 - 
      45*T1^14*T2^15 + 20*T1^15*T2^15 - 5*T1^16*T2^15 + T1^8*T2^16 - 
      5*T1^9*T2^16 + 14*T1^10*T2^16 - 25*T1^11*T2^16 + 29*T1^12*T2^16 - 
      25*T1^13*T2^16 + 14*T1^14*T2^16 - 5*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, Knot[12, NonAlternating, 828] -> 
  {-((3 - 12*T + 24*T^2 - 31*T^3 + 24*T^4 - 12*T^5 + 3*T^6)/T^3), 
   -((3 - 12*T1 + 25*T1^2 - 33*T1^3 + 25*T1^4 - 12*T1^5 + 3*T1^6 - 12*T2 + 
      34*T1*T2 - 48*T1^2*T2 + 31*T1^3*T2 + 31*T1^4*T2 - 48*T1^5*T2 + 
      34*T1^6*T2 - 12*T1^7*T2 + 25*T2^2 - 48*T1*T2^2 + 60*T1^2*T2^2 - 
      47*T1^3*T2^2 - 30*T1^4*T2^2 - 47*T1^5*T2^2 + 60*T1^6*T2^2 - 
      48*T1^7*T2^2 + 25*T1^8*T2^2 - 33*T2^3 + 31*T1*T2^3 - 47*T1^2*T2^3 + 
      38*T1^3*T2^3 + 88*T1^4*T2^3 + 88*T1^5*T2^3 + 38*T1^6*T2^3 - 
      47*T1^7*T2^3 + 31*T1^8*T2^3 - 33*T1^9*T2^3 + 25*T2^4 + 31*T1*T2^4 - 
      30*T1^2*T2^4 + 88*T1^3*T2^4 - 236*T1^4*T2^4 - 78*T1^5*T2^4 - 
      236*T1^6*T2^4 + 88*T1^7*T2^4 - 30*T1^8*T2^4 + 31*T1^9*T2^4 + 
      25*T1^10*T2^4 - 12*T2^5 - 48*T1*T2^5 - 47*T1^2*T2^5 + 88*T1^3*T2^5 - 
      78*T1^4*T2^5 + 342*T1^5*T2^5 + 342*T1^6*T2^5 - 78*T1^7*T2^5 + 
      88*T1^8*T2^5 - 47*T1^9*T2^5 - 48*T1^10*T2^5 - 12*T1^11*T2^5 + 3*T2^6 + 
      34*T1*T2^6 + 60*T1^2*T2^6 + 38*T1^3*T2^6 - 236*T1^4*T2^6 + 
      342*T1^5*T2^6 - 1044*T1^6*T2^6 + 342*T1^7*T2^6 - 236*T1^8*T2^6 + 
      38*T1^9*T2^6 + 60*T1^10*T2^6 + 34*T1^11*T2^6 + 3*T1^12*T2^6 - 
      12*T1*T2^7 - 48*T1^2*T2^7 - 47*T1^3*T2^7 + 88*T1^4*T2^7 - 
      78*T1^5*T2^7 + 342*T1^6*T2^7 + 342*T1^7*T2^7 - 78*T1^8*T2^7 + 
      88*T1^9*T2^7 - 47*T1^10*T2^7 - 48*T1^11*T2^7 - 12*T1^12*T2^7 + 
      25*T1^2*T2^8 + 31*T1^3*T2^8 - 30*T1^4*T2^8 + 88*T1^5*T2^8 - 
      236*T1^6*T2^8 - 78*T1^7*T2^8 - 236*T1^8*T2^8 + 88*T1^9*T2^8 - 
      30*T1^10*T2^8 + 31*T1^11*T2^8 + 25*T1^12*T2^8 - 33*T1^3*T2^9 + 
      31*T1^4*T2^9 - 47*T1^5*T2^9 + 38*T1^6*T2^9 + 88*T1^7*T2^9 + 
      88*T1^8*T2^9 + 38*T1^9*T2^9 - 47*T1^10*T2^9 + 31*T1^11*T2^9 - 
      33*T1^12*T2^9 + 25*T1^4*T2^10 - 48*T1^5*T2^10 + 60*T1^6*T2^10 - 
      47*T1^7*T2^10 - 30*T1^8*T2^10 - 47*T1^9*T2^10 + 60*T1^10*T2^10 - 
      48*T1^11*T2^10 + 25*T1^12*T2^10 - 12*T1^5*T2^11 + 34*T1^6*T2^11 - 
      48*T1^7*T2^11 + 31*T1^8*T2^11 + 31*T1^9*T2^11 - 48*T1^10*T2^11 + 
      34*T1^11*T2^11 - 12*T1^12*T2^11 + 3*T1^6*T2^12 - 12*T1^7*T2^12 + 
      25*T1^8*T2^12 - 33*T1^9*T2^12 + 25*T1^10*T2^12 - 12*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^6*T2^6))}, 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), (1 - 5*T1 + 11*T1^2 - 18*T1^3 + 21*T1^4 - 18*T1^5 + 11*T1^6 - 
     5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 30*T1^2*T2 + 35*T1^3*T2 - 15*T1^4*T2 - 
     15*T1^5*T2 + 35*T1^6*T2 - 30*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
     11*T2^2 - 30*T1*T2^2 + 8*T1^2*T2^2 + 16*T1^3*T2^2 - 87*T1^4*T2^2 + 
     116*T1^5*T2^2 - 87*T1^6*T2^2 + 16*T1^7*T2^2 + 8*T1^8*T2^2 - 
     30*T1^9*T2^2 + 11*T1^10*T2^2 - 18*T2^3 + 35*T1*T2^3 + 16*T1^2*T2^3 + 
     10*T1^3*T2^3 + 63*T1^4*T2^3 - 26*T1^5*T2^3 - 26*T1^6*T2^3 + 
     63*T1^7*T2^3 + 10*T1^8*T2^3 + 16*T1^9*T2^3 + 35*T1^10*T2^3 - 
     18*T1^11*T2^3 + 21*T2^4 - 15*T1*T2^4 - 87*T1^2*T2^4 + 63*T1^3*T2^4 - 
     377*T1^4*T2^4 + 440*T1^5*T2^4 - 499*T1^6*T2^4 + 440*T1^7*T2^4 - 
     377*T1^8*T2^4 + 63*T1^9*T2^4 - 87*T1^10*T2^4 - 15*T1^11*T2^4 + 
     21*T1^12*T2^4 - 18*T2^5 - 15*T1*T2^5 + 116*T1^2*T2^5 - 26*T1^3*T2^5 + 
     440*T1^4*T2^5 - 194*T1^5*T2^5 + 106*T1^6*T2^5 + 106*T1^7*T2^5 - 
     194*T1^8*T2^5 + 440*T1^9*T2^5 - 26*T1^10*T2^5 + 116*T1^11*T2^5 - 
     15*T1^12*T2^5 - 18*T1^13*T2^5 + 11*T2^6 + 35*T1*T2^6 - 87*T1^2*T2^6 - 
     26*T1^3*T2^6 - 499*T1^4*T2^6 + 106*T1^5*T2^6 - 381*T1^6*T2^6 + 
     365*T1^7*T2^6 - 381*T1^8*T2^6 + 106*T1^9*T2^6 - 499*T1^10*T2^6 - 
     26*T1^11*T2^6 - 87*T1^12*T2^6 + 35*T1^13*T2^6 + 11*T1^14*T2^6 - 5*T2^7 - 
     30*T1*T2^7 + 16*T1^2*T2^7 + 63*T1^3*T2^7 + 440*T1^4*T2^7 + 
     106*T1^5*T2^7 + 365*T1^6*T2^7 - 84*T1^7*T2^7 - 84*T1^8*T2^7 + 
     365*T1^9*T2^7 + 106*T1^10*T2^7 + 440*T1^11*T2^7 + 63*T1^12*T2^7 + 
     16*T1^13*T2^7 - 30*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 
     8*T1^2*T2^8 + 10*T1^3*T2^8 - 377*T1^4*T2^8 - 194*T1^5*T2^8 - 
     381*T1^6*T2^8 - 84*T1^7*T2^8 + 84*T1^8*T2^8 - 84*T1^9*T2^8 - 
     381*T1^10*T2^8 - 194*T1^11*T2^8 - 377*T1^12*T2^8 + 10*T1^13*T2^8 + 
     8*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 30*T1^2*T2^9 + 
     16*T1^3*T2^9 + 63*T1^4*T2^9 + 440*T1^5*T2^9 + 106*T1^6*T2^9 + 
     365*T1^7*T2^9 - 84*T1^8*T2^9 - 84*T1^9*T2^9 + 365*T1^10*T2^9 + 
     106*T1^11*T2^9 + 440*T1^12*T2^9 + 63*T1^13*T2^9 + 16*T1^14*T2^9 - 
     30*T1^15*T2^9 - 5*T1^16*T2^9 + 11*T1^2*T2^10 + 35*T1^3*T2^10 - 
     87*T1^4*T2^10 - 26*T1^5*T2^10 - 499*T1^6*T2^10 + 106*T1^7*T2^10 - 
     381*T1^8*T2^10 + 365*T1^9*T2^10 - 381*T1^10*T2^10 + 106*T1^11*T2^10 - 
     499*T1^12*T2^10 - 26*T1^13*T2^10 - 87*T1^14*T2^10 + 35*T1^15*T2^10 + 
     11*T1^16*T2^10 - 18*T1^3*T2^11 - 15*T1^4*T2^11 + 116*T1^5*T2^11 - 
     26*T1^6*T2^11 + 440*T1^7*T2^11 - 194*T1^8*T2^11 + 106*T1^9*T2^11 + 
     106*T1^10*T2^11 - 194*T1^11*T2^11 + 440*T1^12*T2^11 - 26*T1^13*T2^11 + 
     116*T1^14*T2^11 - 15*T1^15*T2^11 - 18*T1^16*T2^11 + 21*T1^4*T2^12 - 
     15*T1^5*T2^12 - 87*T1^6*T2^12 + 63*T1^7*T2^12 - 377*T1^8*T2^12 + 
     440*T1^9*T2^12 - 499*T1^10*T2^12 + 440*T1^11*T2^12 - 377*T1^12*T2^12 + 
     63*T1^13*T2^12 - 87*T1^14*T2^12 - 15*T1^15*T2^12 + 21*T1^16*T2^12 - 
     18*T1^5*T2^13 + 35*T1^6*T2^13 + 16*T1^7*T2^13 + 10*T1^8*T2^13 + 
     63*T1^9*T2^13 - 26*T1^10*T2^13 - 26*T1^11*T2^13 + 63*T1^12*T2^13 + 
     10*T1^13*T2^13 + 16*T1^14*T2^13 + 35*T1^15*T2^13 - 18*T1^16*T2^13 + 
     11*T1^6*T2^14 - 30*T1^7*T2^14 + 8*T1^8*T2^14 + 16*T1^9*T2^14 - 
     87*T1^10*T2^14 + 116*T1^11*T2^14 - 87*T1^12*T2^14 + 16*T1^13*T2^14 + 
     8*T1^14*T2^14 - 30*T1^15*T2^14 + 11*T1^16*T2^14 - 5*T1^7*T2^15 + 
     20*T1^8*T2^15 - 30*T1^9*T2^15 + 35*T1^10*T2^15 - 15*T1^11*T2^15 - 
     15*T1^12*T2^15 + 35*T1^13*T2^15 - 30*T1^14*T2^15 + 20*T1^15*T2^15 - 
     5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 11*T1^10*T2^16 - 
     18*T1^11*T2^16 + 21*T1^12*T2^16 - 18*T1^13*T2^16 + 11*T1^14*T2^16 - 
     5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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 - 23*T1^2*T2^2 + 28*T1^3*T2^2 - 
      27*T1^4*T2^2 + 28*T1^5*T2^2 - 23*T1^6*T2^2 + 13*T1^7*T2^2 - 
      3*T1^8*T2^2 + 4*T2^3 - 7*T1*T2^3 + 28*T1^2*T2^3 - 16*T1^3*T2^3 + 
      8*T1^4*T2^3 + 8*T1^5*T2^3 - 16*T1^6*T2^3 + 28*T1^7*T2^3 - 7*T1^8*T2^3 + 
      4*T1^9*T2^3 - 3*T2^4 - 7*T1*T2^4 - 27*T1^2*T2^4 + 8*T1^3*T2^4 - 
      42*T1^4*T2^4 + 38*T1^5*T2^4 - 42*T1^6*T2^4 + 8*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 + 
      28*T1^2*T2^5 + 8*T1^3*T2^5 + 38*T1^4*T2^5 + 38*T1^7*T2^5 + 
      8*T1^8*T2^5 + 28*T1^9*T2^5 + 13*T1^10*T2^5 + 2*T1^11*T2^5 - 
      12*T1*T2^6 - 23*T1^2*T2^6 - 16*T1^3*T2^6 - 42*T1^4*T2^6 - 
      24*T1^6*T2^6 - 42*T1^8*T2^6 - 16*T1^9*T2^6 - 23*T1^10*T2^6 - 
      12*T1^11*T2^6 + 2*T1*T2^7 + 13*T1^2*T2^7 + 28*T1^3*T2^7 + 8*T1^4*T2^7 + 
      38*T1^5*T2^7 + 38*T1^8*T2^7 + 8*T1^9*T2^7 + 28*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 + 8*T1^5*T2^8 - 42*T1^6*T2^8 + 38*T1^7*T2^8 - 
      42*T1^8*T2^8 + 8*T1^9*T2^8 - 27*T1^10*T2^8 - 7*T1^11*T2^8 - 
      3*T1^12*T2^8 + 4*T1^3*T2^9 - 7*T1^4*T2^9 + 28*T1^5*T2^9 - 
      16*T1^6*T2^9 + 8*T1^7*T2^9 + 8*T1^8*T2^9 - 16*T1^9*T2^9 + 
      28*T1^10*T2^9 - 7*T1^11*T2^9 + 4*T1^12*T2^9 - 3*T1^4*T2^10 + 
      13*T1^5*T2^10 - 23*T1^6*T2^10 + 28*T1^7*T2^10 - 27*T1^8*T2^10 + 
      28*T1^9*T2^10 - 23*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)/(T1^6*T2^6))}, Knot[12, NonAlternating, 831] -> 
  {-(((1 - T + T^2)^2*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^4), 
   -((1 - 5*T1 + 12*T1^2 - 20*T1^3 + 23*T1^4 - 20*T1^5 + 12*T1^6 - 5*T1^7 + 
      T1^8 - 5*T2 + 20*T1*T2 - 35*T1^2*T2 + 40*T1^3*T2 - 15*T1^4*T2 - 
      15*T1^5*T2 + 40*T1^6*T2 - 35*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
      12*T2^2 - 35*T1*T2^2 + 33*T1^2*T2^2 - 10*T1^3*T2^2 - 62*T1^4*T2^2 + 
      73*T1^5*T2^2 - 62*T1^6*T2^2 - 10*T1^7*T2^2 + 33*T1^8*T2^2 - 
      35*T1^9*T2^2 + 12*T1^10*T2^2 - 20*T2^3 + 40*T1*T2^3 - 10*T1^2*T2^3 + 
      2*T1^3*T2^3 + 77*T1^4*T2^3 + T1^5*T2^3 + T1^6*T2^3 + 77*T1^7*T2^3 + 
      2*T1^8*T2^3 - 10*T1^9*T2^3 + 40*T1^10*T2^3 - 20*T1^11*T2^3 + 23*T2^4 - 
      15*T1*T2^4 - 62*T1^2*T2^4 + 77*T1^3*T2^4 - 293*T1^4*T2^4 + 
      227*T1^5*T2^4 - 387*T1^6*T2^4 + 227*T1^7*T2^4 - 293*T1^8*T2^4 + 
      77*T1^9*T2^4 - 62*T1^10*T2^4 - 15*T1^11*T2^4 + 23*T1^12*T2^4 - 
      20*T2^5 - 15*T1*T2^5 + 73*T1^2*T2^5 + T1^3*T2^5 + 227*T1^4*T2^5 + 
      48*T1^5*T2^5 + 167*T1^6*T2^5 + 167*T1^7*T2^5 + 48*T1^8*T2^5 + 
      227*T1^9*T2^5 + T1^10*T2^5 + 73*T1^11*T2^5 - 15*T1^12*T2^5 - 
      20*T1^13*T2^5 + 12*T2^6 + 40*T1*T2^6 - 62*T1^2*T2^6 + T1^3*T2^6 - 
      387*T1^4*T2^6 + 167*T1^5*T2^6 - 756*T1^6*T2^6 + 404*T1^7*T2^6 - 
      756*T1^8*T2^6 + 167*T1^9*T2^6 - 387*T1^10*T2^6 + T1^11*T2^6 - 
      62*T1^12*T2^6 + 40*T1^13*T2^6 + 12*T1^14*T2^6 - 5*T2^7 - 35*T1*T2^7 - 
      10*T1^2*T2^7 + 77*T1^3*T2^7 + 227*T1^4*T2^7 + 167*T1^5*T2^7 + 
      404*T1^6*T2^7 + 216*T1^7*T2^7 + 216*T1^8*T2^7 + 404*T1^9*T2^7 + 
      167*T1^10*T2^7 + 227*T1^11*T2^7 + 77*T1^12*T2^7 - 10*T1^13*T2^7 - 
      35*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 33*T1^2*T2^8 + 
      2*T1^3*T2^8 - 293*T1^4*T2^8 + 48*T1^5*T2^8 - 756*T1^6*T2^8 + 
      216*T1^7*T2^8 - 828*T1^8*T2^8 + 216*T1^9*T2^8 - 756*T1^10*T2^8 + 
      48*T1^11*T2^8 - 293*T1^12*T2^8 + 2*T1^13*T2^8 + 33*T1^14*T2^8 + 
      20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 35*T1^2*T2^9 - 10*T1^3*T2^9 + 
      77*T1^4*T2^9 + 227*T1^5*T2^9 + 167*T1^6*T2^9 + 404*T1^7*T2^9 + 
      216*T1^8*T2^9 + 216*T1^9*T2^9 + 404*T1^10*T2^9 + 167*T1^11*T2^9 + 
      227*T1^12*T2^9 + 77*T1^13*T2^9 - 10*T1^14*T2^9 - 35*T1^15*T2^9 - 
      5*T1^16*T2^9 + 12*T1^2*T2^10 + 40*T1^3*T2^10 - 62*T1^4*T2^10 + 
      T1^5*T2^10 - 387*T1^6*T2^10 + 167*T1^7*T2^10 - 756*T1^8*T2^10 + 
      404*T1^9*T2^10 - 756*T1^10*T2^10 + 167*T1^11*T2^10 - 387*T1^12*T2^10 + 
      T1^13*T2^10 - 62*T1^14*T2^10 + 40*T1^15*T2^10 + 12*T1^16*T2^10 - 
      20*T1^3*T2^11 - 15*T1^4*T2^11 + 73*T1^5*T2^11 + T1^6*T2^11 + 
      227*T1^7*T2^11 + 48*T1^8*T2^11 + 167*T1^9*T2^11 + 167*T1^10*T2^11 + 
      48*T1^11*T2^11 + 227*T1^12*T2^11 + T1^13*T2^11 + 73*T1^14*T2^11 - 
      15*T1^15*T2^11 - 20*T1^16*T2^11 + 23*T1^4*T2^12 - 15*T1^5*T2^12 - 
      62*T1^6*T2^12 + 77*T1^7*T2^12 - 293*T1^8*T2^12 + 227*T1^9*T2^12 - 
      387*T1^10*T2^12 + 227*T1^11*T2^12 - 293*T1^12*T2^12 + 77*T1^13*T2^12 - 
      62*T1^14*T2^12 - 15*T1^15*T2^12 + 23*T1^16*T2^12 - 20*T1^5*T2^13 + 
      40*T1^6*T2^13 - 10*T1^7*T2^13 + 2*T1^8*T2^13 + 77*T1^9*T2^13 + 
      T1^10*T2^13 + T1^11*T2^13 + 77*T1^12*T2^13 + 2*T1^13*T2^13 - 
      10*T1^14*T2^13 + 40*T1^15*T2^13 - 20*T1^16*T2^13 + 12*T1^6*T2^14 - 
      35*T1^7*T2^14 + 33*T1^8*T2^14 - 10*T1^9*T2^14 - 62*T1^10*T2^14 + 
      73*T1^11*T2^14 - 62*T1^12*T2^14 - 10*T1^13*T2^14 + 33*T1^14*T2^14 - 
      35*T1^15*T2^14 + 12*T1^16*T2^14 - 5*T1^7*T2^15 + 20*T1^8*T2^15 - 
      35*T1^9*T2^15 + 40*T1^10*T2^15 - 15*T1^11*T2^15 - 15*T1^12*T2^15 + 
      40*T1^13*T2^15 - 35*T1^14*T2^15 + 20*T1^15*T2^15 - 5*T1^16*T2^15 + 
      T1^8*T2^16 - 5*T1^9*T2^16 + 12*T1^10*T2^16 - 20*T1^11*T2^16 + 
      23*T1^12*T2^16 - 20*T1^13*T2^16 + 12*T1^14*T2^16 - 5*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^8*T2^8))}, Knot[12, NonAlternating, 832] -> 
  {-((3 - 13*T + 23*T^2 - 27*T^3 + 23*T^4 - 13*T^5 + 3*T^6)/T^3), 
   (57 - 240*T1 + 413*T1^2 - 479*T1^3 + 413*T1^4 - 240*T1^5 + 57*T1^6 - 
     240*T2 + 774*T1*T2 - 742*T1^2*T2 + 286*T1^3*T2 + 286*T1^4*T2 - 
     742*T1^5*T2 + 774*T1^6*T2 - 240*T1^7*T2 + 413*T2^2 - 742*T1*T2^2 - 
     821*T1^2*T2^2 + 2190*T1^3*T2^2 - 2655*T1^4*T2^2 + 2190*T1^5*T2^2 - 
     821*T1^6*T2^2 - 742*T1^7*T2^2 + 413*T1^8*T2^2 - 479*T2^3 + 286*T1*T2^3 + 
     2190*T1^2*T2^3 - 2114*T1^3*T2^3 + 781*T1^4*T2^3 + 781*T1^5*T2^3 - 
     2114*T1^6*T2^3 + 2190*T1^7*T2^3 + 286*T1^8*T2^3 - 479*T1^9*T2^3 + 
     413*T2^4 + 286*T1*T2^4 - 2655*T1^2*T2^4 + 781*T1^3*T2^4 + 
     367*T1^4*T2^4 - 627*T1^5*T2^4 + 367*T1^6*T2^4 + 781*T1^7*T2^4 - 
     2655*T1^8*T2^4 + 286*T1^9*T2^4 + 413*T1^10*T2^4 - 240*T2^5 - 
     742*T1*T2^5 + 2190*T1^2*T2^5 + 781*T1^3*T2^5 - 627*T1^4*T2^5 + 
     136*T1^5*T2^5 + 136*T1^6*T2^5 - 627*T1^7*T2^5 + 781*T1^8*T2^5 + 
     2190*T1^9*T2^5 - 742*T1^10*T2^5 - 240*T1^11*T2^5 + 57*T2^6 + 
     774*T1*T2^6 - 821*T1^2*T2^6 - 2114*T1^3*T2^6 + 367*T1^4*T2^6 + 
     136*T1^5*T2^6 - 84*T1^6*T2^6 + 136*T1^7*T2^6 + 367*T1^8*T2^6 - 
     2114*T1^9*T2^6 - 821*T1^10*T2^6 + 774*T1^11*T2^6 + 57*T1^12*T2^6 - 
     240*T1*T2^7 - 742*T1^2*T2^7 + 2190*T1^3*T2^7 + 781*T1^4*T2^7 - 
     627*T1^5*T2^7 + 136*T1^6*T2^7 + 136*T1^7*T2^7 - 627*T1^8*T2^7 + 
     781*T1^9*T2^7 + 2190*T1^10*T2^7 - 742*T1^11*T2^7 - 240*T1^12*T2^7 + 
     413*T1^2*T2^8 + 286*T1^3*T2^8 - 2655*T1^4*T2^8 + 781*T1^5*T2^8 + 
     367*T1^6*T2^8 - 627*T1^7*T2^8 + 367*T1^8*T2^8 + 781*T1^9*T2^8 - 
     2655*T1^10*T2^8 + 286*T1^11*T2^8 + 413*T1^12*T2^8 - 479*T1^3*T2^9 + 
     286*T1^4*T2^9 + 2190*T1^5*T2^9 - 2114*T1^6*T2^9 + 781*T1^7*T2^9 + 
     781*T1^8*T2^9 - 2114*T1^9*T2^9 + 2190*T1^10*T2^9 + 286*T1^11*T2^9 - 
     479*T1^12*T2^9 + 413*T1^4*T2^10 - 742*T1^5*T2^10 - 821*T1^6*T2^10 + 
     2190*T1^7*T2^10 - 2655*T1^8*T2^10 + 2190*T1^9*T2^10 - 821*T1^10*T2^10 - 
     742*T1^11*T2^10 + 413*T1^12*T2^10 - 240*T1^5*T2^11 + 774*T1^6*T2^11 - 
     742*T1^7*T2^11 + 286*T1^8*T2^11 + 286*T1^9*T2^11 - 742*T1^10*T2^11 + 
     774*T1^11*T2^11 - 240*T1^12*T2^11 + 57*T1^6*T2^12 - 240*T1^7*T2^12 + 
     413*T1^8*T2^12 - 479*T1^9*T2^12 + 413*T1^10*T2^12 - 240*T1^11*T2^12 + 
     57*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 833] -> 
  {((1 - T + T^2)^2*(3 - 5*T + 3*T^2))/T^3, 
   -((24 - 87*T1 + 170*T1^2 - 206*T1^3 + 170*T1^4 - 87*T1^5 + 24*T1^6 - 
      87*T2 + 230*T1*T2 - 301*T1^2*T2 + 131*T1^3*T2 + 131*T1^4*T2 - 
      301*T1^5*T2 + 230*T1^6*T2 - 87*T1^7*T2 + 170*T2^2 - 301*T1*T2^2 + 
      156*T1^2*T2^2 + 351*T1^3*T2^2 - 574*T1^4*T2^2 + 351*T1^5*T2^2 + 
      156*T1^6*T2^2 - 301*T1^7*T2^2 + 170*T1^8*T2^2 - 206*T2^3 + 
      131*T1*T2^3 + 351*T1^2*T2^3 - 896*T1^3*T2^3 + 436*T1^4*T2^3 + 
      436*T1^5*T2^3 - 896*T1^6*T2^3 + 351*T1^7*T2^3 + 131*T1^8*T2^3 - 
      206*T1^9*T2^3 + 170*T2^4 + 131*T1*T2^4 - 574*T1^2*T2^4 + 
      436*T1^3*T2^4 + 880*T1^4*T2^4 - 1544*T1^5*T2^4 + 880*T1^6*T2^4 + 
      436*T1^7*T2^4 - 574*T1^8*T2^4 + 131*T1^9*T2^4 + 170*T1^10*T2^4 - 
      87*T2^5 - 301*T1*T2^5 + 351*T1^2*T2^5 + 436*T1^3*T2^5 - 
      1544*T1^4*T2^5 + 828*T1^5*T2^5 + 828*T1^6*T2^5 - 1544*T1^7*T2^5 + 
      436*T1^8*T2^5 + 351*T1^9*T2^5 - 301*T1^10*T2^5 - 87*T1^11*T2^5 + 
      24*T2^6 + 230*T1*T2^6 + 156*T1^2*T2^6 - 896*T1^3*T2^6 + 880*T1^4*T2^6 + 
      828*T1^5*T2^6 - 1788*T1^6*T2^6 + 828*T1^7*T2^6 + 880*T1^8*T2^6 - 
      896*T1^9*T2^6 + 156*T1^10*T2^6 + 230*T1^11*T2^6 + 24*T1^12*T2^6 - 
      87*T1*T2^7 - 301*T1^2*T2^7 + 351*T1^3*T2^7 + 436*T1^4*T2^7 - 
      1544*T1^5*T2^7 + 828*T1^6*T2^7 + 828*T1^7*T2^7 - 1544*T1^8*T2^7 + 
      436*T1^9*T2^7 + 351*T1^10*T2^7 - 301*T1^11*T2^7 - 87*T1^12*T2^7 + 
      170*T1^2*T2^8 + 131*T1^3*T2^8 - 574*T1^4*T2^8 + 436*T1^5*T2^8 + 
      880*T1^6*T2^8 - 1544*T1^7*T2^8 + 880*T1^8*T2^8 + 436*T1^9*T2^8 - 
      574*T1^10*T2^8 + 131*T1^11*T2^8 + 170*T1^12*T2^8 - 206*T1^3*T2^9 + 
      131*T1^4*T2^9 + 351*T1^5*T2^9 - 896*T1^6*T2^9 + 436*T1^7*T2^9 + 
      436*T1^8*T2^9 - 896*T1^9*T2^9 + 351*T1^10*T2^9 + 131*T1^11*T2^9 - 
      206*T1^12*T2^9 + 170*T1^4*T2^10 - 301*T1^5*T2^10 + 156*T1^6*T2^10 + 
      351*T1^7*T2^10 - 574*T1^8*T2^10 + 351*T1^9*T2^10 + 156*T1^10*T2^10 - 
      301*T1^11*T2^10 + 170*T1^12*T2^10 - 87*T1^5*T2^11 + 230*T1^6*T2^11 - 
      301*T1^7*T2^11 + 131*T1^8*T2^11 + 131*T1^9*T2^11 - 301*T1^10*T2^11 + 
      230*T1^11*T2^11 - 87*T1^12*T2^11 + 24*T1^6*T2^12 - 87*T1^7*T2^12 + 
      170*T1^8*T2^12 - 206*T1^9*T2^12 + 170*T1^10*T2^12 - 87*T1^11*T2^12 + 
      24*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 834] -> 
  {-((2 - 12*T + 26*T^2 - 33*T^3 + 26*T^4 - 12*T^5 + 2*T^6)/T^3), 
   -((17 - 100*T1 + 214*T1^2 - 271*T1^3 + 214*T1^4 - 100*T1^5 + 17*T1^6 - 
      100*T2 + 488*T1*T2 - 672*T1^2*T2 + 336*T1^3*T2 + 336*T1^4*T2 - 
      672*T1^5*T2 + 488*T1^6*T2 - 100*T1^7*T2 + 214*T2^2 - 672*T1*T2^2 - 
      468*T1^2*T2^2 + 2552*T1^3*T2^2 - 3754*T1^4*T2^2 + 2552*T1^5*T2^2 - 
      468*T1^6*T2^2 - 672*T1^7*T2^2 + 214*T1^8*T2^2 - 271*T2^3 + 
      336*T1*T2^3 + 2552*T1^2*T2^3 - 4248*T1^3*T2^3 + 2338*T1^4*T2^3 + 
      2338*T1^5*T2^3 - 4248*T1^6*T2^3 + 2552*T1^7*T2^3 + 336*T1^8*T2^3 - 
      271*T1^9*T2^3 + 214*T2^4 + 336*T1*T2^4 - 3754*T1^2*T2^4 + 
      2338*T1^3*T2^4 + 2601*T1^4*T2^4 - 6193*T1^5*T2^4 + 2601*T1^6*T2^4 + 
      2338*T1^7*T2^4 - 3754*T1^8*T2^4 + 336*T1^9*T2^4 + 214*T1^10*T2^4 - 
      100*T2^5 - 672*T1*T2^5 + 2552*T1^2*T2^5 + 2338*T1^3*T2^5 - 
      6193*T1^4*T2^5 + 4028*T1^5*T2^5 + 4028*T1^6*T2^5 - 6193*T1^7*T2^5 + 
      2338*T1^8*T2^5 + 2552*T1^9*T2^5 - 672*T1^10*T2^5 - 100*T1^11*T2^5 + 
      17*T2^6 + 488*T1*T2^6 - 468*T1^2*T2^6 - 4248*T1^3*T2^6 + 
      2601*T1^4*T2^6 + 4028*T1^5*T2^6 - 9216*T1^6*T2^6 + 4028*T1^7*T2^6 + 
      2601*T1^8*T2^6 - 4248*T1^9*T2^6 - 468*T1^10*T2^6 + 488*T1^11*T2^6 + 
      17*T1^12*T2^6 - 100*T1*T2^7 - 672*T1^2*T2^7 + 2552*T1^3*T2^7 + 
      2338*T1^4*T2^7 - 6193*T1^5*T2^7 + 4028*T1^6*T2^7 + 4028*T1^7*T2^7 - 
      6193*T1^8*T2^7 + 2338*T1^9*T2^7 + 2552*T1^10*T2^7 - 672*T1^11*T2^7 - 
      100*T1^12*T2^7 + 214*T1^2*T2^8 + 336*T1^3*T2^8 - 3754*T1^4*T2^8 + 
      2338*T1^5*T2^8 + 2601*T1^6*T2^8 - 6193*T1^7*T2^8 + 2601*T1^8*T2^8 + 
      2338*T1^9*T2^8 - 3754*T1^10*T2^8 + 336*T1^11*T2^8 + 214*T1^12*T2^8 - 
      271*T1^3*T2^9 + 336*T1^4*T2^9 + 2552*T1^5*T2^9 - 4248*T1^6*T2^9 + 
      2338*T1^7*T2^9 + 2338*T1^8*T2^9 - 4248*T1^9*T2^9 + 2552*T1^10*T2^9 + 
      336*T1^11*T2^9 - 271*T1^12*T2^9 + 214*T1^4*T2^10 - 672*T1^5*T2^10 - 
      468*T1^6*T2^10 + 2552*T1^7*T2^10 - 3754*T1^8*T2^10 + 2552*T1^9*T2^10 - 
      468*T1^10*T2^10 - 672*T1^11*T2^10 + 214*T1^12*T2^10 - 100*T1^5*T2^11 + 
      488*T1^6*T2^11 - 672*T1^7*T2^11 + 336*T1^8*T2^11 + 336*T1^9*T2^11 - 
      672*T1^10*T2^11 + 488*T1^11*T2^11 - 100*T1^12*T2^11 + 17*T1^6*T2^12 - 
      100*T1^7*T2^12 + 214*T1^8*T2^12 - 271*T1^9*T2^12 + 214*T1^10*T2^12 - 
      100*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 835] -> {(1 - 4*T^2 + 7*T^3 - 4*T^4 + T^6)/T^3, 
   (1 - 4*T1^2 + 7*T1^3 - 4*T1^4 + 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 - 4*T2^2 + 6*T1*T2^2 + 4*T1^2*T2^2 - 
     9*T1^3*T2^2 + 12*T1^4*T2^2 - 9*T1^5*T2^2 + 4*T1^6*T2^2 + 6*T1^7*T2^2 - 
     4*T1^8*T2^2 + 7*T2^3 - 4*T1*T2^3 - 9*T1^2*T2^3 - 2*T1^3*T2^3 + 
     4*T1^4*T2^3 + 4*T1^5*T2^3 - 2*T1^6*T2^3 - 9*T1^7*T2^3 - 4*T1^8*T2^3 + 
     7*T1^9*T2^3 - 4*T2^4 - 4*T1*T2^4 + 12*T1^2*T2^4 + 4*T1^3*T2^4 + 
     10*T1^4*T2^4 - 24*T1^5*T2^4 + 10*T1^6*T2^4 + 4*T1^7*T2^4 + 
     12*T1^8*T2^4 - 4*T1^9*T2^4 - 4*T1^10*T2^4 + 6*T1*T2^5 - 9*T1^2*T2^5 + 
     4*T1^3*T2^5 - 24*T1^4*T2^5 + 16*T1^5*T2^5 + 16*T1^6*T2^5 - 
     24*T1^7*T2^5 + 4*T1^8*T2^5 - 9*T1^9*T2^5 + 6*T1^10*T2^5 + T2^6 - 
     4*T1*T2^6 + 4*T1^2*T2^6 - 2*T1^3*T2^6 + 10*T1^4*T2^6 + 16*T1^5*T2^6 - 
     36*T1^6*T2^6 + 16*T1^7*T2^6 + 10*T1^8*T2^6 - 2*T1^9*T2^6 + 
     4*T1^10*T2^6 - 4*T1^11*T2^6 + T1^12*T2^6 + 6*T1^2*T2^7 - 9*T1^3*T2^7 + 
     4*T1^4*T2^7 - 24*T1^5*T2^7 + 16*T1^6*T2^7 + 16*T1^7*T2^7 - 
     24*T1^8*T2^7 + 4*T1^9*T2^7 - 9*T1^10*T2^7 + 6*T1^11*T2^7 - 4*T1^2*T2^8 - 
     4*T1^3*T2^8 + 12*T1^4*T2^8 + 4*T1^5*T2^8 + 10*T1^6*T2^8 - 24*T1^7*T2^8 + 
     10*T1^8*T2^8 + 4*T1^9*T2^8 + 12*T1^10*T2^8 - 4*T1^11*T2^8 - 
     4*T1^12*T2^8 + 7*T1^3*T2^9 - 4*T1^4*T2^9 - 9*T1^5*T2^9 - 2*T1^6*T2^9 + 
     4*T1^7*T2^9 + 4*T1^8*T2^9 - 2*T1^9*T2^9 - 9*T1^10*T2^9 - 4*T1^11*T2^9 + 
     7*T1^12*T2^9 - 4*T1^4*T2^10 + 6*T1^5*T2^10 + 4*T1^6*T2^10 - 
     9*T1^7*T2^10 + 12*T1^8*T2^10 - 9*T1^9*T2^10 + 4*T1^10*T2^10 + 
     6*T1^11*T2^10 - 4*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 + 
     T1^6*T2^12 - 4*T1^8*T2^12 + 7*T1^9*T2^12 - 4*T1^10*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 836] -> 
  {-(((1 - T + T^2)*(2 - 10*T + 15*T^2 - 10*T^3 + 2*T^4))/T^3), 
   -((17 - 101*T1 + 225*T1^2 - 291*T1^3 + 225*T1^4 - 101*T1^5 + 17*T1^6 - 
      101*T2 + 506*T1*T2 - 741*T1^2*T2 + 395*T1^3*T2 + 395*T1^4*T2 - 
      741*T1^5*T2 + 506*T1^6*T2 - 101*T1^7*T2 + 225*T2^2 - 741*T1*T2^2 - 
      444*T1^2*T2^2 + 2925*T1^3*T2^2 - 4546*T1^4*T2^2 + 2925*T1^5*T2^2 - 
      444*T1^6*T2^2 - 741*T1^7*T2^2 + 225*T1^8*T2^2 - 291*T2^3 + 
      395*T1*T2^3 + 2925*T1^2*T2^3 - 5312*T1^3*T2^3 + 3218*T1^4*T2^3 + 
      3218*T1^5*T2^3 - 5312*T1^6*T2^3 + 2925*T1^7*T2^3 + 395*T1^8*T2^3 - 
      291*T1^9*T2^3 + 225*T2^4 + 395*T1*T2^4 - 4546*T1^2*T2^4 + 
      3218*T1^3*T2^4 + 3029*T1^4*T2^4 - 8497*T1^5*T2^4 + 3029*T1^6*T2^4 + 
      3218*T1^7*T2^4 - 4546*T1^8*T2^4 + 395*T1^9*T2^4 + 225*T1^10*T2^4 - 
      101*T2^5 - 741*T1*T2^5 + 2925*T1^2*T2^5 + 3218*T1^3*T2^5 - 
      8497*T1^4*T2^5 + 6102*T1^5*T2^5 + 6102*T1^6*T2^5 - 8497*T1^7*T2^5 + 
      3218*T1^8*T2^5 + 2925*T1^9*T2^5 - 741*T1^10*T2^5 - 101*T1^11*T2^5 + 
      17*T2^6 + 506*T1*T2^6 - 444*T1^2*T2^6 - 5312*T1^3*T2^6 + 
      3029*T1^4*T2^6 + 6102*T1^5*T2^6 - 14436*T1^6*T2^6 + 6102*T1^7*T2^6 + 
      3029*T1^8*T2^6 - 5312*T1^9*T2^6 - 444*T1^10*T2^6 + 506*T1^11*T2^6 + 
      17*T1^12*T2^6 - 101*T1*T2^7 - 741*T1^2*T2^7 + 2925*T1^3*T2^7 + 
      3218*T1^4*T2^7 - 8497*T1^5*T2^7 + 6102*T1^6*T2^7 + 6102*T1^7*T2^7 - 
      8497*T1^8*T2^7 + 3218*T1^9*T2^7 + 2925*T1^10*T2^7 - 741*T1^11*T2^7 - 
      101*T1^12*T2^7 + 225*T1^2*T2^8 + 395*T1^3*T2^8 - 4546*T1^4*T2^8 + 
      3218*T1^5*T2^8 + 3029*T1^6*T2^8 - 8497*T1^7*T2^8 + 3029*T1^8*T2^8 + 
      3218*T1^9*T2^8 - 4546*T1^10*T2^8 + 395*T1^11*T2^8 + 225*T1^12*T2^8 - 
      291*T1^3*T2^9 + 395*T1^4*T2^9 + 2925*T1^5*T2^9 - 5312*T1^6*T2^9 + 
      3218*T1^7*T2^9 + 3218*T1^8*T2^9 - 5312*T1^9*T2^9 + 2925*T1^10*T2^9 + 
      395*T1^11*T2^9 - 291*T1^12*T2^9 + 225*T1^4*T2^10 - 741*T1^5*T2^10 - 
      444*T1^6*T2^10 + 2925*T1^7*T2^10 - 4546*T1^8*T2^10 + 2925*T1^9*T2^10 - 
      444*T1^10*T2^10 - 741*T1^11*T2^10 + 225*T1^12*T2^10 - 101*T1^5*T2^11 + 
      506*T1^6*T2^11 - 741*T1^7*T2^11 + 395*T1^8*T2^11 + 395*T1^9*T2^11 - 
      741*T1^10*T2^11 + 506*T1^11*T2^11 - 101*T1^12*T2^11 + 17*T1^6*T2^12 - 
      101*T1^7*T2^12 + 225*T1^8*T2^12 - 291*T1^9*T2^12 + 225*T1^10*T2^12 - 
      101*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6))}, 
 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, 
   (2*(1 + 2*T1 - T1^2 - T1^3 + 2*T1^4 + T1^5 + 2*T2 - 39*T1*T2 + 
      17*T1^2*T2 - T1^3*T2 + 17*T1^4*T2 - 39*T1^5*T2 + 2*T1^6*T2 - T2^2 + 
      17*T1*T2^2 + 224*T1^2*T2^2 - 148*T1^3*T2^2 - 148*T1^4*T2^2 + 
      224*T1^5*T2^2 + 17*T1^6*T2^2 - T1^7*T2^2 - T2^3 - T1*T2^3 - 
      148*T1^2*T2^3 - 854*T1^3*T2^3 + 1526*T1^4*T2^3 - 854*T1^5*T2^3 - 
      148*T1^6*T2^3 - T1^7*T2^3 - T1^8*T2^3 + 2*T2^4 + 17*T1*T2^4 - 
      148*T1^2*T2^4 + 1526*T1^3*T2^4 - 984*T1^4*T2^4 - 984*T1^5*T2^4 + 
      1526*T1^6*T2^4 - 148*T1^7*T2^4 + 17*T1^8*T2^4 + 2*T1^9*T2^4 + T2^5 - 
      39*T1*T2^5 + 224*T1^2*T2^5 - 854*T1^3*T2^5 - 984*T1^4*T2^5 + 
      2322*T1^5*T2^5 - 984*T1^6*T2^5 - 854*T1^7*T2^5 + 224*T1^8*T2^5 - 
      39*T1^9*T2^5 + T1^10*T2^5 + 2*T1*T2^6 + 17*T1^2*T2^6 - 148*T1^3*T2^6 + 
      1526*T1^4*T2^6 - 984*T1^5*T2^6 - 984*T1^6*T2^6 + 1526*T1^7*T2^6 - 
      148*T1^8*T2^6 + 17*T1^9*T2^6 + 2*T1^10*T2^6 - T1^2*T2^7 - T1^3*T2^7 - 
      148*T1^4*T2^7 - 854*T1^5*T2^7 + 1526*T1^6*T2^7 - 854*T1^7*T2^7 - 
      148*T1^8*T2^7 - T1^9*T2^7 - T1^10*T2^7 - T1^3*T2^8 + 17*T1^4*T2^8 + 
      224*T1^5*T2^8 - 148*T1^6*T2^8 - 148*T1^7*T2^8 + 224*T1^8*T2^8 + 
      17*T1^9*T2^8 - T1^10*T2^8 + 2*T1^4*T2^9 - 39*T1^5*T2^9 + 17*T1^6*T2^9 - 
      T1^7*T2^9 + 17*T1^8*T2^9 - 39*T1^9*T2^9 + 2*T1^10*T2^9 + T1^5*T2^10 + 
      2*T1^6*T2^10 - T1^7*T2^10 - T1^8*T2^10 + 2*T1^9*T2^10 + T1^10*T2^10))/
    (T1^5*T2^5)}, Knot[12, NonAlternating, 838] -> 
  {(1 - 3*T + T^2)^2/T^2, (4*(1 - 3*T1 + T1^2)*(1 - 3*T2 + T2^2)*
     (1 - 3*T1*T2 + T1^2*T2^2)*(1 + T1 + T2 - 6*T1*T2 + T1^2*T2 + T1*T2^2 + 
      T1^2*T2^2))/(T1^3*T2^3)}, 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 + 84*T1*T2 - 154*T1^2*T2 + 70*T1^3*T2 + 70*T1^6*T2 - 
      154*T1^7*T2 + 84*T1^8*T2 - 14*T1^9*T2 + 36*T2^2 - 154*T1*T2^2 + 
      T1^2*T2^2 + 669*T1^3*T2^2 - 757*T1^4*T2^2 + 577*T1^5*T2^2 - 
      757*T1^6*T2^2 + 669*T1^7*T2^2 + T1^8*T2^2 - 154*T1^9*T2^2 + 
      36*T1^10*T2^2 - 46*T2^3 + 70*T1*T2^3 + 669*T1^2*T2^3 - 1702*T1^3*T2^3 + 
      499*T1^4*T2^3 + 229*T1^5*T2^3 + 229*T1^6*T2^3 + 499*T1^7*T2^3 - 
      1702*T1^8*T2^3 + 669*T1^9*T2^3 + 70*T1^10*T2^3 - 46*T1^11*T2^3 + 
      46*T2^4 - 757*T1^2*T2^4 + 499*T1^3*T2^4 + 2919*T1^4*T2^4 - 
      2942*T1^5*T2^4 + 1687*T1^6*T2^4 - 2942*T1^7*T2^4 + 2919*T1^8*T2^4 + 
      499*T1^9*T2^4 - 757*T1^10*T2^4 + 46*T1^12*T2^4 - 46*T2^5 + 
      577*T1^2*T2^5 + 229*T1^3*T2^5 - 2942*T1^4*T2^5 + 396*T1^5*T2^5 + 
      840*T1^6*T2^5 + 840*T1^7*T2^5 + 396*T1^8*T2^5 - 2942*T1^9*T2^5 + 
      229*T1^10*T2^5 + 577*T1^11*T2^5 - 46*T1^13*T2^5 + 36*T2^6 + 
      70*T1*T2^6 - 757*T1^2*T2^6 + 229*T1^3*T2^6 + 1687*T1^4*T2^6 + 
      840*T1^5*T2^6 - 612*T1^6*T2^6 - 624*T1^7*T2^6 - 612*T1^8*T2^6 + 
      840*T1^9*T2^6 + 1687*T1^10*T2^6 + 229*T1^11*T2^6 - 757*T1^12*T2^6 + 
      70*T1^13*T2^6 + 36*T1^14*T2^6 - 14*T2^7 - 154*T1*T2^7 + 669*T1^2*T2^7 + 
      499*T1^3*T2^7 - 2942*T1^4*T2^7 + 840*T1^5*T2^7 - 624*T1^6*T2^7 + 
      426*T1^7*T2^7 + 426*T1^8*T2^7 - 624*T1^9*T2^7 + 840*T1^10*T2^7 - 
      2942*T1^11*T2^7 + 499*T1^12*T2^7 + 669*T1^13*T2^7 - 154*T1^14*T2^7 - 
      14*T1^15*T2^7 + 2*T2^8 + 84*T1*T2^8 + T1^2*T2^8 - 1702*T1^3*T2^8 + 
      2919*T1^4*T2^8 + 396*T1^5*T2^8 - 612*T1^6*T2^8 + 426*T1^7*T2^8 - 
      360*T1^8*T2^8 + 426*T1^9*T2^8 - 612*T1^10*T2^8 + 396*T1^11*T2^8 + 
      2919*T1^12*T2^8 - 1702*T1^13*T2^8 + T1^14*T2^8 + 84*T1^15*T2^8 + 
      2*T1^16*T2^8 - 14*T1*T2^9 - 154*T1^2*T2^9 + 669*T1^3*T2^9 + 
      499*T1^4*T2^9 - 2942*T1^5*T2^9 + 840*T1^6*T2^9 - 624*T1^7*T2^9 + 
      426*T1^8*T2^9 + 426*T1^9*T2^9 - 624*T1^10*T2^9 + 840*T1^11*T2^9 - 
      2942*T1^12*T2^9 + 499*T1^13*T2^9 + 669*T1^14*T2^9 - 154*T1^15*T2^9 - 
      14*T1^16*T2^9 + 36*T1^2*T2^10 + 70*T1^3*T2^10 - 757*T1^4*T2^10 + 
      229*T1^5*T2^10 + 1687*T1^6*T2^10 + 840*T1^7*T2^10 - 612*T1^8*T2^10 - 
      624*T1^9*T2^10 - 612*T1^10*T2^10 + 840*T1^11*T2^10 + 1687*T1^12*T2^10 + 
      229*T1^13*T2^10 - 757*T1^14*T2^10 + 70*T1^15*T2^10 + 36*T1^16*T2^10 - 
      46*T1^3*T2^11 + 577*T1^5*T2^11 + 229*T1^6*T2^11 - 2942*T1^7*T2^11 + 
      396*T1^8*T2^11 + 840*T1^9*T2^11 + 840*T1^10*T2^11 + 396*T1^11*T2^11 - 
      2942*T1^12*T2^11 + 229*T1^13*T2^11 + 577*T1^14*T2^11 - 46*T1^16*T2^11 + 
      46*T1^4*T2^12 - 757*T1^6*T2^12 + 499*T1^7*T2^12 + 2919*T1^8*T2^12 - 
      2942*T1^9*T2^12 + 1687*T1^10*T2^12 - 2942*T1^11*T2^12 + 
      2919*T1^12*T2^12 + 499*T1^13*T2^12 - 757*T1^14*T2^12 + 46*T1^16*T2^12 - 
      46*T1^5*T2^13 + 70*T1^6*T2^13 + 669*T1^7*T2^13 - 1702*T1^8*T2^13 + 
      499*T1^9*T2^13 + 229*T1^10*T2^13 + 229*T1^11*T2^13 + 499*T1^12*T2^13 - 
      1702*T1^13*T2^13 + 669*T1^14*T2^13 + 70*T1^15*T2^13 - 46*T1^16*T2^13 + 
      36*T1^6*T2^14 - 154*T1^7*T2^14 + T1^8*T2^14 + 669*T1^9*T2^14 - 
      757*T1^10*T2^14 + 577*T1^11*T2^14 - 757*T1^12*T2^14 + 669*T1^13*T2^14 + 
      T1^14*T2^14 - 154*T1^15*T2^14 + 36*T1^16*T2^14 - 14*T1^7*T2^15 + 
      84*T1^8*T2^15 - 154*T1^9*T2^15 + 70*T1^10*T2^15 + 70*T1^13*T2^15 - 
      154*T1^14*T2^15 + 84*T1^15*T2^15 - 14*T1^16*T2^15 + 2*T1^8*T2^16 - 
      14*T1^9*T2^16 + 36*T1^10*T2^16 - 46*T1^11*T2^16 + 46*T1^12*T2^16 - 
      46*T1^13*T2^16 + 36*T1^14*T2^16 - 14*T1^15*T2^16 + 2*T1^16*T2^16)/
     (T1^8*T2^8))}, 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), 
   (1 - 6*T1 + 16*T1^2 - 24*T1^3 + 25*T1^4 - 24*T1^5 + 16*T1^6 - 6*T1^7 + 
     T1^8 - 6*T2 + 30*T1*T2 - 60*T1^2*T2 + 48*T1^3*T2 - 6*T1^4*T2 - 
     6*T1^5*T2 + 48*T1^6*T2 - 60*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 16*T2^2 - 
     60*T1*T2^2 + 57*T1^2*T2^2 + 95*T1^3*T2^2 - 212*T1^4*T2^2 + 
     137*T1^5*T2^2 - 212*T1^6*T2^2 + 95*T1^7*T2^2 + 57*T1^8*T2^2 - 
     60*T1^9*T2^2 + 16*T1^10*T2^2 - 24*T2^3 + 48*T1*T2^3 + 95*T1^2*T2^3 - 
     418*T1^3*T2^3 + 343*T1^4*T2^3 + 85*T1^5*T2^3 + 85*T1^6*T2^3 + 
     343*T1^7*T2^3 - 418*T1^8*T2^3 + 95*T1^9*T2^3 + 48*T1^10*T2^3 - 
     24*T1^11*T2^3 + 25*T2^4 - 6*T1*T2^4 - 212*T1^2*T2^4 + 343*T1^3*T2^4 + 
     395*T1^4*T2^4 - 1072*T1^5*T2^4 + 437*T1^6*T2^4 - 1072*T1^7*T2^4 + 
     395*T1^8*T2^4 + 343*T1^9*T2^4 - 212*T1^10*T2^4 - 6*T1^11*T2^4 + 
     25*T1^12*T2^4 - 24*T2^5 - 6*T1*T2^5 + 137*T1^2*T2^5 + 85*T1^3*T2^5 - 
     1072*T1^4*T2^5 + 1108*T1^5*T2^5 + 283*T1^6*T2^5 + 283*T1^7*T2^5 + 
     1108*T1^8*T2^5 - 1072*T1^9*T2^5 + 85*T1^10*T2^5 + 137*T1^11*T2^5 - 
     6*T1^12*T2^5 - 24*T1^13*T2^5 + 16*T2^6 + 48*T1*T2^6 - 212*T1^2*T2^6 + 
     85*T1^3*T2^6 + 437*T1^4*T2^6 + 283*T1^5*T2^6 - 1986*T1^6*T2^6 + 
     1392*T1^7*T2^6 - 1986*T1^8*T2^6 + 283*T1^9*T2^6 + 437*T1^10*T2^6 + 
     85*T1^11*T2^6 - 212*T1^12*T2^6 + 48*T1^13*T2^6 + 16*T1^14*T2^6 - 
     6*T2^7 - 60*T1*T2^7 + 95*T1^2*T2^7 + 343*T1^3*T2^7 - 1072*T1^4*T2^7 + 
     283*T1^5*T2^7 + 1392*T1^6*T2^7 - 312*T1^7*T2^7 - 312*T1^8*T2^7 + 
     1392*T1^9*T2^7 + 283*T1^10*T2^7 - 1072*T1^11*T2^7 + 343*T1^12*T2^7 + 
     95*T1^13*T2^7 - 60*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 
     57*T1^2*T2^8 - 418*T1^3*T2^8 + 395*T1^4*T2^8 + 1108*T1^5*T2^8 - 
     1986*T1^6*T2^8 - 312*T1^7*T2^8 + 924*T1^8*T2^8 - 312*T1^9*T2^8 - 
     1986*T1^10*T2^8 + 1108*T1^11*T2^8 + 395*T1^12*T2^8 - 418*T1^13*T2^8 + 
     57*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 60*T1^2*T2^9 + 
     95*T1^3*T2^9 + 343*T1^4*T2^9 - 1072*T1^5*T2^9 + 283*T1^6*T2^9 + 
     1392*T1^7*T2^9 - 312*T1^8*T2^9 - 312*T1^9*T2^9 + 1392*T1^10*T2^9 + 
     283*T1^11*T2^9 - 1072*T1^12*T2^9 + 343*T1^13*T2^9 + 95*T1^14*T2^9 - 
     60*T1^15*T2^9 - 6*T1^16*T2^9 + 16*T1^2*T2^10 + 48*T1^3*T2^10 - 
     212*T1^4*T2^10 + 85*T1^5*T2^10 + 437*T1^6*T2^10 + 283*T1^7*T2^10 - 
     1986*T1^8*T2^10 + 1392*T1^9*T2^10 - 1986*T1^10*T2^10 + 283*T1^11*T2^10 + 
     437*T1^12*T2^10 + 85*T1^13*T2^10 - 212*T1^14*T2^10 + 48*T1^15*T2^10 + 
     16*T1^16*T2^10 - 24*T1^3*T2^11 - 6*T1^4*T2^11 + 137*T1^5*T2^11 + 
     85*T1^6*T2^11 - 1072*T1^7*T2^11 + 1108*T1^8*T2^11 + 283*T1^9*T2^11 + 
     283*T1^10*T2^11 + 1108*T1^11*T2^11 - 1072*T1^12*T2^11 + 85*T1^13*T2^11 + 
     137*T1^14*T2^11 - 6*T1^15*T2^11 - 24*T1^16*T2^11 + 25*T1^4*T2^12 - 
     6*T1^5*T2^12 - 212*T1^6*T2^12 + 343*T1^7*T2^12 + 395*T1^8*T2^12 - 
     1072*T1^9*T2^12 + 437*T1^10*T2^12 - 1072*T1^11*T2^12 + 395*T1^12*T2^12 + 
     343*T1^13*T2^12 - 212*T1^14*T2^12 - 6*T1^15*T2^12 + 25*T1^16*T2^12 - 
     24*T1^5*T2^13 + 48*T1^6*T2^13 + 95*T1^7*T2^13 - 418*T1^8*T2^13 + 
     343*T1^9*T2^13 + 85*T1^10*T2^13 + 85*T1^11*T2^13 + 343*T1^12*T2^13 - 
     418*T1^13*T2^13 + 95*T1^14*T2^13 + 48*T1^15*T2^13 - 24*T1^16*T2^13 + 
     16*T1^6*T2^14 - 60*T1^7*T2^14 + 57*T1^8*T2^14 + 95*T1^9*T2^14 - 
     212*T1^10*T2^14 + 137*T1^11*T2^14 - 212*T1^12*T2^14 + 95*T1^13*T2^14 + 
     57*T1^14*T2^14 - 60*T1^15*T2^14 + 16*T1^16*T2^14 - 6*T1^7*T2^15 + 
     30*T1^8*T2^15 - 60*T1^9*T2^15 + 48*T1^10*T2^15 - 6*T1^11*T2^15 - 
     6*T1^12*T2^15 + 48*T1^13*T2^15 - 60*T1^14*T2^15 + 30*T1^15*T2^15 - 
     6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 16*T1^10*T2^16 - 
     24*T1^11*T2^16 + 25*T1^12*T2^16 - 24*T1^13*T2^16 + 16*T1^14*T2^16 - 
     6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 841] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)^2)/T^3), 
   (1 - 5*T1 + 11*T1^2 - 15*T1^3 + 11*T1^4 - 5*T1^5 + T1^6 - 5*T2 + 
     18*T1*T2 - 24*T1^2*T2 + 16*T1^3*T2 + 16*T1^4*T2 - 24*T1^5*T2 + 
     18*T1^6*T2 - 5*T1^7*T2 + 11*T2^2 - 24*T1*T2^2 + 8*T1^2*T2^2 - 
     15*T1^3*T2^2 - 16*T1^4*T2^2 - 15*T1^5*T2^2 + 8*T1^6*T2^2 - 
     24*T1^7*T2^2 + 11*T1^8*T2^2 - 15*T2^3 + 16*T1*T2^3 - 15*T1^2*T2^3 + 
     168*T1^3*T2^3 - 45*T1^4*T2^3 - 45*T1^5*T2^3 + 168*T1^6*T2^3 - 
     15*T1^7*T2^3 + 16*T1^8*T2^3 - 15*T1^9*T2^3 + 11*T2^4 + 16*T1*T2^4 - 
     16*T1^2*T2^4 - 45*T1^3*T2^4 - 752*T1^4*T2^4 + 998*T1^5*T2^4 - 
     752*T1^6*T2^4 - 45*T1^7*T2^4 - 16*T1^8*T2^4 + 16*T1^9*T2^4 + 
     11*T1^10*T2^4 - 5*T2^5 - 24*T1*T2^5 - 15*T1^2*T2^5 - 45*T1^3*T2^5 + 
     998*T1^4*T2^5 - 402*T1^5*T2^5 - 402*T1^6*T2^5 + 998*T1^7*T2^5 - 
     45*T1^8*T2^5 - 15*T1^9*T2^5 - 24*T1^10*T2^5 - 5*T1^11*T2^5 + T2^6 + 
     18*T1*T2^6 + 8*T1^2*T2^6 + 168*T1^3*T2^6 - 752*T1^4*T2^6 - 
     402*T1^5*T2^6 + 696*T1^6*T2^6 - 402*T1^7*T2^6 - 752*T1^8*T2^6 + 
     168*T1^9*T2^6 + 8*T1^10*T2^6 + 18*T1^11*T2^6 + T1^12*T2^6 - 5*T1*T2^7 - 
     24*T1^2*T2^7 - 15*T1^3*T2^7 - 45*T1^4*T2^7 + 998*T1^5*T2^7 - 
     402*T1^6*T2^7 - 402*T1^7*T2^7 + 998*T1^8*T2^7 - 45*T1^9*T2^7 - 
     15*T1^10*T2^7 - 24*T1^11*T2^7 - 5*T1^12*T2^7 + 11*T1^2*T2^8 + 
     16*T1^3*T2^8 - 16*T1^4*T2^8 - 45*T1^5*T2^8 - 752*T1^6*T2^8 + 
     998*T1^7*T2^8 - 752*T1^8*T2^8 - 45*T1^9*T2^8 - 16*T1^10*T2^8 + 
     16*T1^11*T2^8 + 11*T1^12*T2^8 - 15*T1^3*T2^9 + 16*T1^4*T2^9 - 
     15*T1^5*T2^9 + 168*T1^6*T2^9 - 45*T1^7*T2^9 - 45*T1^8*T2^9 + 
     168*T1^9*T2^9 - 15*T1^10*T2^9 + 16*T1^11*T2^9 - 15*T1^12*T2^9 + 
     11*T1^4*T2^10 - 24*T1^5*T2^10 + 8*T1^6*T2^10 - 15*T1^7*T2^10 - 
     16*T1^8*T2^10 - 15*T1^9*T2^10 + 8*T1^10*T2^10 - 24*T1^11*T2^10 + 
     11*T1^12*T2^10 - 5*T1^5*T2^11 + 18*T1^6*T2^11 - 24*T1^7*T2^11 + 
     16*T1^8*T2^11 + 16*T1^9*T2^11 - 24*T1^10*T2^11 + 18*T1^11*T2^11 - 
     5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 11*T1^8*T2^12 - 
     15*T1^9*T2^12 + 11*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   (2 - 9*T1 + 20*T1^2 - 26*T1^3 + 20*T1^4 - 9*T1^5 + 2*T1^6 - 9*T2 + 
     40*T1*T2 - 74*T1^2*T2 + 38*T1^3*T2 + 38*T1^4*T2 - 74*T1^5*T2 + 
     40*T1^6*T2 - 9*T1^7*T2 + 20*T2^2 - 74*T1*T2^2 + 47*T1^2*T2^2 + 
     221*T1^3*T2^2 - 339*T1^4*T2^2 + 221*T1^5*T2^2 + 47*T1^6*T2^2 - 
     74*T1^7*T2^2 + 20*T1^8*T2^2 - 26*T2^3 + 38*T1*T2^3 + 221*T1^2*T2^3 - 
     670*T1^3*T2^3 + 257*T1^4*T2^3 + 257*T1^5*T2^3 - 670*T1^6*T2^3 + 
     221*T1^7*T2^3 + 38*T1^8*T2^3 - 26*T1^9*T2^3 + 20*T2^4 + 38*T1*T2^4 - 
     339*T1^2*T2^4 + 257*T1^3*T2^4 + 1051*T1^4*T2^4 - 1177*T1^5*T2^4 + 
     1051*T1^6*T2^4 + 257*T1^7*T2^4 - 339*T1^8*T2^4 + 38*T1^9*T2^4 + 
     20*T1^10*T2^4 - 9*T2^5 - 74*T1*T2^5 + 221*T1^2*T2^5 + 257*T1^3*T2^5 - 
     1177*T1^4*T2^5 + 62*T1^5*T2^5 + 62*T1^6*T2^5 - 1177*T1^7*T2^5 + 
     257*T1^8*T2^5 + 221*T1^9*T2^5 - 74*T1^10*T2^5 - 9*T1^11*T2^5 + 2*T2^6 + 
     40*T1*T2^6 + 47*T1^2*T2^6 - 670*T1^3*T2^6 + 1051*T1^4*T2^6 + 
     62*T1^5*T2^6 + 624*T1^6*T2^6 + 62*T1^7*T2^6 + 1051*T1^8*T2^6 - 
     670*T1^9*T2^6 + 47*T1^10*T2^6 + 40*T1^11*T2^6 + 2*T1^12*T2^6 - 
     9*T1*T2^7 - 74*T1^2*T2^7 + 221*T1^3*T2^7 + 257*T1^4*T2^7 - 
     1177*T1^5*T2^7 + 62*T1^6*T2^7 + 62*T1^7*T2^7 - 1177*T1^8*T2^7 + 
     257*T1^9*T2^7 + 221*T1^10*T2^7 - 74*T1^11*T2^7 - 9*T1^12*T2^7 + 
     20*T1^2*T2^8 + 38*T1^3*T2^8 - 339*T1^4*T2^8 + 257*T1^5*T2^8 + 
     1051*T1^6*T2^8 - 1177*T1^7*T2^8 + 1051*T1^8*T2^8 + 257*T1^9*T2^8 - 
     339*T1^10*T2^8 + 38*T1^11*T2^8 + 20*T1^12*T2^8 - 26*T1^3*T2^9 + 
     38*T1^4*T2^9 + 221*T1^5*T2^9 - 670*T1^6*T2^9 + 257*T1^7*T2^9 + 
     257*T1^8*T2^9 - 670*T1^9*T2^9 + 221*T1^10*T2^9 + 38*T1^11*T2^9 - 
     26*T1^12*T2^9 + 20*T1^4*T2^10 - 74*T1^5*T2^10 + 47*T1^6*T2^10 + 
     221*T1^7*T2^10 - 339*T1^8*T2^10 + 221*T1^9*T2^10 + 47*T1^10*T2^10 - 
     74*T1^11*T2^10 + 20*T1^12*T2^10 - 9*T1^5*T2^11 + 40*T1^6*T2^11 - 
     74*T1^7*T2^11 + 38*T1^8*T2^11 + 38*T1^9*T2^11 - 74*T1^10*T2^11 + 
     40*T1^11*T2^11 - 9*T1^12*T2^11 + 2*T1^6*T2^12 - 9*T1^7*T2^12 + 
     20*T1^8*T2^12 - 26*T1^9*T2^12 + 20*T1^10*T2^12 - 9*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 843] -> 
  {((3 - 3*T + T^2)*(1 - T + T^2)*(1 - 3*T + 3*T^2))/T^3, 
   (30 - 147*T1 + 330*T1^2 - 414*T1^3 + 330*T1^4 - 147*T1^5 + 30*T1^6 - 
     147*T2 + 574*T1*T2 - 898*T1^2*T2 + 413*T1^3*T2 + 413*T1^4*T2 - 
     898*T1^5*T2 + 574*T1^6*T2 - 147*T1^7*T2 + 330*T2^2 - 898*T1*T2^2 + 
     390*T1^2*T2^2 + 1901*T1^3*T2^2 - 2920*T1^4*T2^2 + 1901*T1^5*T2^2 + 
     390*T1^6*T2^2 - 898*T1^7*T2^2 + 330*T1^8*T2^2 - 414*T2^3 + 413*T1*T2^3 + 
     1901*T1^2*T2^3 - 4944*T1^3*T2^3 + 2310*T1^4*T2^3 + 2310*T1^5*T2^3 - 
     4944*T1^6*T2^3 + 1901*T1^7*T2^3 + 413*T1^8*T2^3 - 414*T1^9*T2^3 + 
     330*T2^4 + 413*T1*T2^4 - 2920*T1^2*T2^4 + 2310*T1^3*T2^4 + 
     6314*T1^4*T2^4 - 10052*T1^5*T2^4 + 6314*T1^6*T2^4 + 2310*T1^7*T2^4 - 
     2920*T1^8*T2^4 + 413*T1^9*T2^4 + 330*T1^10*T2^4 - 147*T2^5 - 
     898*T1*T2^5 + 1901*T1^2*T2^5 + 2310*T1^3*T2^5 - 10052*T1^4*T2^5 + 
     4836*T1^5*T2^5 + 4836*T1^6*T2^5 - 10052*T1^7*T2^5 + 2310*T1^8*T2^5 + 
     1901*T1^9*T2^5 - 898*T1^10*T2^5 - 147*T1^11*T2^5 + 30*T2^6 + 
     574*T1*T2^6 + 390*T1^2*T2^6 - 4944*T1^3*T2^6 + 6314*T1^4*T2^6 + 
     4836*T1^5*T2^6 - 9792*T1^6*T2^6 + 4836*T1^7*T2^6 + 6314*T1^8*T2^6 - 
     4944*T1^9*T2^6 + 390*T1^10*T2^6 + 574*T1^11*T2^6 + 30*T1^12*T2^6 - 
     147*T1*T2^7 - 898*T1^2*T2^7 + 1901*T1^3*T2^7 + 2310*T1^4*T2^7 - 
     10052*T1^5*T2^7 + 4836*T1^6*T2^7 + 4836*T1^7*T2^7 - 10052*T1^8*T2^7 + 
     2310*T1^9*T2^7 + 1901*T1^10*T2^7 - 898*T1^11*T2^7 - 147*T1^12*T2^7 + 
     330*T1^2*T2^8 + 413*T1^3*T2^8 - 2920*T1^4*T2^8 + 2310*T1^5*T2^8 + 
     6314*T1^6*T2^8 - 10052*T1^7*T2^8 + 6314*T1^8*T2^8 + 2310*T1^9*T2^8 - 
     2920*T1^10*T2^8 + 413*T1^11*T2^8 + 330*T1^12*T2^8 - 414*T1^3*T2^9 + 
     413*T1^4*T2^9 + 1901*T1^5*T2^9 - 4944*T1^6*T2^9 + 2310*T1^7*T2^9 + 
     2310*T1^8*T2^9 - 4944*T1^9*T2^9 + 1901*T1^10*T2^9 + 413*T1^11*T2^9 - 
     414*T1^12*T2^9 + 330*T1^4*T2^10 - 898*T1^5*T2^10 + 390*T1^6*T2^10 + 
     1901*T1^7*T2^10 - 2920*T1^8*T2^10 + 1901*T1^9*T2^10 + 390*T1^10*T2^10 - 
     898*T1^11*T2^10 + 330*T1^12*T2^10 - 147*T1^5*T2^11 + 574*T1^6*T2^11 - 
     898*T1^7*T2^11 + 413*T1^8*T2^11 + 413*T1^9*T2^11 - 898*T1^10*T2^11 + 
     574*T1^11*T2^11 - 147*T1^12*T2^11 + 30*T1^6*T2^12 - 147*T1^7*T2^12 + 
     330*T1^8*T2^12 - 414*T1^9*T2^12 + 330*T1^10*T2^12 - 147*T1^11*T2^12 + 
     30*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 844] -> 
  {(3 - 12*T + 16*T^2 - 13*T^3 + 16*T^4 - 12*T^5 + 3*T^6)/T^3, 
   -((24 - 93*T1 + 120*T1^2 - 96*T1^3 + 120*T1^4 - 93*T1^5 + 24*T1^6 - 
      93*T2 + 266*T1*T2 - 101*T1^2*T2 - 95*T1^3*T2 - 95*T1^4*T2 - 
      101*T1^5*T2 + 266*T1^6*T2 - 93*T1^7*T2 + 120*T2^2 - 101*T1*T2^2 - 
      672*T1^2*T2^2 + 826*T1^3*T2^2 - 206*T1^4*T2^2 + 826*T1^5*T2^2 - 
      672*T1^6*T2^2 - 101*T1^7*T2^2 + 120*T1^8*T2^2 - 96*T2^3 - 95*T1*T2^3 + 
      826*T1^2*T2^3 - 228*T1^3*T2^3 - 507*T1^4*T2^3 - 507*T1^5*T2^3 - 
      228*T1^6*T2^3 + 826*T1^7*T2^3 - 95*T1^8*T2^3 - 96*T1^9*T2^3 + 
      120*T2^4 - 95*T1*T2^4 - 206*T1^2*T2^4 - 507*T1^3*T2^4 + 
      1030*T1^4*T2^4 - 598*T1^5*T2^4 + 1030*T1^6*T2^4 - 507*T1^7*T2^4 - 
      206*T1^8*T2^4 - 95*T1^9*T2^4 + 120*T1^10*T2^4 - 93*T2^5 - 101*T1*T2^5 + 
      826*T1^2*T2^5 - 507*T1^3*T2^5 - 598*T1^4*T2^5 + 546*T1^5*T2^5 + 
      546*T1^6*T2^5 - 598*T1^7*T2^5 - 507*T1^8*T2^5 + 826*T1^9*T2^5 - 
      101*T1^10*T2^5 - 93*T1^11*T2^5 + 24*T2^6 + 266*T1*T2^6 - 
      672*T1^2*T2^6 - 228*T1^3*T2^6 + 1030*T1^4*T2^6 + 546*T1^5*T2^6 - 
      2196*T1^6*T2^6 + 546*T1^7*T2^6 + 1030*T1^8*T2^6 - 228*T1^9*T2^6 - 
      672*T1^10*T2^6 + 266*T1^11*T2^6 + 24*T1^12*T2^6 - 93*T1*T2^7 - 
      101*T1^2*T2^7 + 826*T1^3*T2^7 - 507*T1^4*T2^7 - 598*T1^5*T2^7 + 
      546*T1^6*T2^7 + 546*T1^7*T2^7 - 598*T1^8*T2^7 - 507*T1^9*T2^7 + 
      826*T1^10*T2^7 - 101*T1^11*T2^7 - 93*T1^12*T2^7 + 120*T1^2*T2^8 - 
      95*T1^3*T2^8 - 206*T1^4*T2^8 - 507*T1^5*T2^8 + 1030*T1^6*T2^8 - 
      598*T1^7*T2^8 + 1030*T1^8*T2^8 - 507*T1^9*T2^8 - 206*T1^10*T2^8 - 
      95*T1^11*T2^8 + 120*T1^12*T2^8 - 96*T1^3*T2^9 - 95*T1^4*T2^9 + 
      826*T1^5*T2^9 - 228*T1^6*T2^9 - 507*T1^7*T2^9 - 507*T1^8*T2^9 - 
      228*T1^9*T2^9 + 826*T1^10*T2^9 - 95*T1^11*T2^9 - 96*T1^12*T2^9 + 
      120*T1^4*T2^10 - 101*T1^5*T2^10 - 672*T1^6*T2^10 + 826*T1^7*T2^10 - 
      206*T1^8*T2^10 + 826*T1^9*T2^10 - 672*T1^10*T2^10 - 101*T1^11*T2^10 + 
      120*T1^12*T2^10 - 93*T1^5*T2^11 + 266*T1^6*T2^11 - 101*T1^7*T2^11 - 
      95*T1^8*T2^11 - 95*T1^9*T2^11 - 101*T1^10*T2^11 + 266*T1^11*T2^11 - 
      93*T1^12*T2^11 + 24*T1^6*T2^12 - 93*T1^7*T2^12 + 120*T1^8*T2^12 - 
      96*T1^9*T2^12 + 120*T1^10*T2^12 - 93*T1^11*T2^12 + 24*T1^12*T2^12)/
     (T1^6*T2^6))}, Knot[12, NonAlternating, 845] -> 
  {(3 - 12*T + 22*T^2 - 25*T^3 + 22*T^4 - 12*T^5 + 3*T^6)/T^3, 
   (24 - 93*T1 + 163*T1^2 - 180*T1^3 + 163*T1^4 - 93*T1^5 + 24*T1^6 - 93*T2 + 
     274*T1*T2 - 287*T1^2*T2 + 77*T1^3*T2 + 77*T1^4*T2 - 287*T1^5*T2 + 
     274*T1^6*T2 - 93*T1^7*T2 + 163*T2^2 - 287*T1*T2^2 - 148*T1^2*T2^2 + 
     753*T1^3*T2^2 - 764*T1^4*T2^2 + 753*T1^5*T2^2 - 148*T1^6*T2^2 - 
     287*T1^7*T2^2 + 163*T1^8*T2^2 - 180*T2^3 + 77*T1*T2^3 + 753*T1^2*T2^3 - 
     1088*T1^3*T2^3 + 233*T1^4*T2^3 + 233*T1^5*T2^3 - 1088*T1^6*T2^3 + 
     753*T1^7*T2^3 + 77*T1^8*T2^3 - 180*T1^9*T2^3 + 163*T2^4 + 77*T1*T2^4 - 
     764*T1^2*T2^4 + 233*T1^3*T2^4 + 1227*T1^4*T2^4 - 1287*T1^5*T2^4 + 
     1227*T1^6*T2^4 + 233*T1^7*T2^4 - 764*T1^8*T2^4 + 77*T1^9*T2^4 + 
     163*T1^10*T2^4 - 93*T2^5 - 287*T1*T2^5 + 753*T1^2*T2^5 + 233*T1^3*T2^5 - 
     1287*T1^4*T2^5 + 354*T1^5*T2^5 + 354*T1^6*T2^5 - 1287*T1^7*T2^5 + 
     233*T1^8*T2^5 + 753*T1^9*T2^5 - 287*T1^10*T2^5 - 93*T1^11*T2^5 + 
     24*T2^6 + 274*T1*T2^6 - 148*T1^2*T2^6 - 1088*T1^3*T2^6 + 
     1227*T1^4*T2^6 + 354*T1^5*T2^6 - 624*T1^6*T2^6 + 354*T1^7*T2^6 + 
     1227*T1^8*T2^6 - 1088*T1^9*T2^6 - 148*T1^10*T2^6 + 274*T1^11*T2^6 + 
     24*T1^12*T2^6 - 93*T1*T2^7 - 287*T1^2*T2^7 + 753*T1^3*T2^7 + 
     233*T1^4*T2^7 - 1287*T1^5*T2^7 + 354*T1^6*T2^7 + 354*T1^7*T2^7 - 
     1287*T1^8*T2^7 + 233*T1^9*T2^7 + 753*T1^10*T2^7 - 287*T1^11*T2^7 - 
     93*T1^12*T2^7 + 163*T1^2*T2^8 + 77*T1^3*T2^8 - 764*T1^4*T2^8 + 
     233*T1^5*T2^8 + 1227*T1^6*T2^8 - 1287*T1^7*T2^8 + 1227*T1^8*T2^8 + 
     233*T1^9*T2^8 - 764*T1^10*T2^8 + 77*T1^11*T2^8 + 163*T1^12*T2^8 - 
     180*T1^3*T2^9 + 77*T1^4*T2^9 + 753*T1^5*T2^9 - 1088*T1^6*T2^9 + 
     233*T1^7*T2^9 + 233*T1^8*T2^9 - 1088*T1^9*T2^9 + 753*T1^10*T2^9 + 
     77*T1^11*T2^9 - 180*T1^12*T2^9 + 163*T1^4*T2^10 - 287*T1^5*T2^10 - 
     148*T1^6*T2^10 + 753*T1^7*T2^10 - 764*T1^8*T2^10 + 753*T1^9*T2^10 - 
     148*T1^10*T2^10 - 287*T1^11*T2^10 + 163*T1^12*T2^10 - 93*T1^5*T2^11 + 
     274*T1^6*T2^11 - 287*T1^7*T2^11 + 77*T1^8*T2^11 + 77*T1^9*T2^11 - 
     287*T1^10*T2^11 + 274*T1^11*T2^11 - 93*T1^12*T2^11 + 24*T1^6*T2^12 - 
     93*T1^7*T2^12 + 163*T1^8*T2^12 - 180*T1^9*T2^12 + 163*T1^10*T2^12 - 
     93*T1^11*T2^12 + 24*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 846] -> {(5 - 20*T + 31*T^2 - 20*T^3 + 5*T^4)/T^2, 
   (10 - 35*T1 + 54*T1^2 - 35*T1^3 + 10*T1^4 - 35*T2 + 86*T1*T2 - 
     62*T1^2*T2 - 62*T1^3*T2 + 86*T1^4*T2 - 35*T1^5*T2 + 54*T2^2 - 
     62*T1*T2^2 - 111*T1^2*T2^2 + 307*T1^3*T2^2 - 111*T1^4*T2^2 - 
     62*T1^5*T2^2 + 54*T1^6*T2^2 - 35*T2^3 - 62*T1*T2^3 + 307*T1^2*T2^3 - 
     280*T1^3*T2^3 - 280*T1^4*T2^3 + 307*T1^5*T2^3 - 62*T1^6*T2^3 - 
     35*T1^7*T2^3 + 10*T2^4 + 86*T1*T2^4 - 111*T1^2*T2^4 - 280*T1^3*T2^4 + 
     768*T1^4*T2^4 - 280*T1^5*T2^4 - 111*T1^6*T2^4 + 86*T1^7*T2^4 + 
     10*T1^8*T2^4 - 35*T1*T2^5 - 62*T1^2*T2^5 + 307*T1^3*T2^5 - 
     280*T1^4*T2^5 - 280*T1^5*T2^5 + 307*T1^6*T2^5 - 62*T1^7*T2^5 - 
     35*T1^8*T2^5 + 54*T1^2*T2^6 - 62*T1^3*T2^6 - 111*T1^4*T2^6 + 
     307*T1^5*T2^6 - 111*T1^6*T2^6 - 62*T1^7*T2^6 + 54*T1^8*T2^6 - 
     35*T1^3*T2^7 + 86*T1^4*T2^7 - 62*T1^5*T2^7 - 62*T1^6*T2^7 + 
     86*T1^7*T2^7 - 35*T1^8*T2^7 + 10*T1^4*T2^8 - 35*T1^5*T2^8 + 
     54*T1^6*T2^8 - 35*T1^7*T2^8 + 10*T1^8*T2^8)/(T1^4*T2^4)}, 
 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)*
     (1 - 4*T1 + 5*T1^2 - 4*T1^3 + T1^4 - 4*T2 + 12*T1*T2 - 4*T1^2*T2 - 
      4*T1^3*T2 + 12*T1^4*T2 - 4*T1^5*T2 + 5*T2^2 - 4*T1*T2^2 - 
      31*T1^2*T2^2 + 39*T1^3*T2^2 - 31*T1^4*T2^2 - 4*T1^5*T2^2 + 
      5*T1^6*T2^2 - 4*T2^3 - 4*T1*T2^3 + 39*T1^2*T2^3 - 18*T1^3*T2^3 - 
      18*T1^4*T2^3 + 39*T1^5*T2^3 - 4*T1^6*T2^3 - 4*T1^7*T2^3 + T2^4 + 
      12*T1*T2^4 - 31*T1^2*T2^4 - 18*T1^3*T2^4 + 48*T1^4*T2^4 - 
      18*T1^5*T2^4 - 31*T1^6*T2^4 + 12*T1^7*T2^4 + T1^8*T2^4 - 4*T1*T2^5 - 
      4*T1^2*T2^5 + 39*T1^3*T2^5 - 18*T1^4*T2^5 - 18*T1^5*T2^5 + 
      39*T1^6*T2^5 - 4*T1^7*T2^5 - 4*T1^8*T2^5 + 5*T1^2*T2^6 - 4*T1^3*T2^6 - 
      31*T1^4*T2^6 + 39*T1^5*T2^6 - 31*T1^6*T2^6 - 4*T1^7*T2^6 + 
      5*T1^8*T2^6 - 4*T1^3*T2^7 + 12*T1^4*T2^7 - 4*T1^5*T2^7 - 4*T1^6*T2^7 + 
      12*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))/(T1^6*T2^6)}, 
 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, 
   (2 - 10*T1 + 24*T1^2 - 32*T1^3 + 34*T1^4 - 32*T1^5 + 24*T1^6 - 10*T1^7 + 
     2*T1^8 - 10*T2 + 40*T1*T2 - 70*T1^2*T2 + 40*T1^3*T2 - 10*T1^4*T2 - 
     10*T1^5*T2 + 40*T1^6*T2 - 70*T1^7*T2 + 40*T1^8*T2 - 10*T1^9*T2 + 
     24*T2^2 - 70*T1*T2^2 + 58*T1^2*T2^2 + 112*T1^3*T2^2 - 136*T1^4*T2^2 + 
     120*T1^5*T2^2 - 136*T1^6*T2^2 + 112*T1^7*T2^2 + 58*T1^8*T2^2 - 
     70*T1^9*T2^2 + 24*T1^10*T2^2 - 32*T2^3 + 40*T1*T2^3 + 112*T1^2*T2^3 - 
     398*T1^3*T2^3 + 148*T1^4*T2^3 - 10*T1^5*T2^3 - 10*T1^6*T2^3 + 
     148*T1^7*T2^3 - 398*T1^8*T2^3 + 112*T1^9*T2^3 + 40*T1^10*T2^3 - 
     32*T1^11*T2^3 + 34*T2^4 - 10*T1*T2^4 - 136*T1^2*T2^4 + 148*T1^3*T2^4 + 
     641*T1^4*T2^4 - 697*T1^5*T2^4 + 605*T1^6*T2^4 - 697*T1^7*T2^4 + 
     641*T1^8*T2^4 + 148*T1^9*T2^4 - 136*T1^10*T2^4 - 10*T1^11*T2^4 + 
     34*T1^12*T2^4 - 32*T2^5 - 10*T1*T2^5 + 120*T1^2*T2^5 - 10*T1^3*T2^5 - 
     697*T1^4*T2^5 + 156*T1^5*T2^5 + 41*T1^6*T2^5 + 41*T1^7*T2^5 + 
     156*T1^8*T2^5 - 697*T1^9*T2^5 - 10*T1^10*T2^5 + 120*T1^11*T2^5 - 
     10*T1^12*T2^5 - 32*T1^13*T2^5 + 24*T2^6 + 40*T1*T2^6 - 136*T1^2*T2^6 - 
     10*T1^3*T2^6 + 605*T1^4*T2^6 + 41*T1^5*T2^6 + 120*T1^6*T2^6 - 
     278*T1^7*T2^6 + 120*T1^8*T2^6 + 41*T1^9*T2^6 + 605*T1^10*T2^6 - 
     10*T1^11*T2^6 - 136*T1^12*T2^6 + 40*T1^13*T2^6 + 24*T1^14*T2^6 - 
     10*T2^7 - 70*T1*T2^7 + 112*T1^2*T2^7 + 148*T1^3*T2^7 - 697*T1^4*T2^7 + 
     41*T1^5*T2^7 - 278*T1^6*T2^7 + 146*T1^7*T2^7 + 146*T1^8*T2^7 - 
     278*T1^9*T2^7 + 41*T1^10*T2^7 - 697*T1^11*T2^7 + 148*T1^12*T2^7 + 
     112*T1^13*T2^7 - 70*T1^14*T2^7 - 10*T1^15*T2^7 + 2*T2^8 + 40*T1*T2^8 + 
     58*T1^2*T2^8 - 398*T1^3*T2^8 + 641*T1^4*T2^8 + 156*T1^5*T2^8 + 
     120*T1^6*T2^8 + 146*T1^7*T2^8 - 276*T1^8*T2^8 + 146*T1^9*T2^8 + 
     120*T1^10*T2^8 + 156*T1^11*T2^8 + 641*T1^12*T2^8 - 398*T1^13*T2^8 + 
     58*T1^14*T2^8 + 40*T1^15*T2^8 + 2*T1^16*T2^8 - 10*T1*T2^9 - 
     70*T1^2*T2^9 + 112*T1^3*T2^9 + 148*T1^4*T2^9 - 697*T1^5*T2^9 + 
     41*T1^6*T2^9 - 278*T1^7*T2^9 + 146*T1^8*T2^9 + 146*T1^9*T2^9 - 
     278*T1^10*T2^9 + 41*T1^11*T2^9 - 697*T1^12*T2^9 + 148*T1^13*T2^9 + 
     112*T1^14*T2^9 - 70*T1^15*T2^9 - 10*T1^16*T2^9 + 24*T1^2*T2^10 + 
     40*T1^3*T2^10 - 136*T1^4*T2^10 - 10*T1^5*T2^10 + 605*T1^6*T2^10 + 
     41*T1^7*T2^10 + 120*T1^8*T2^10 - 278*T1^9*T2^10 + 120*T1^10*T2^10 + 
     41*T1^11*T2^10 + 605*T1^12*T2^10 - 10*T1^13*T2^10 - 136*T1^14*T2^10 + 
     40*T1^15*T2^10 + 24*T1^16*T2^10 - 32*T1^3*T2^11 - 10*T1^4*T2^11 + 
     120*T1^5*T2^11 - 10*T1^6*T2^11 - 697*T1^7*T2^11 + 156*T1^8*T2^11 + 
     41*T1^9*T2^11 + 41*T1^10*T2^11 + 156*T1^11*T2^11 - 697*T1^12*T2^11 - 
     10*T1^13*T2^11 + 120*T1^14*T2^11 - 10*T1^15*T2^11 - 32*T1^16*T2^11 + 
     34*T1^4*T2^12 - 10*T1^5*T2^12 - 136*T1^6*T2^12 + 148*T1^7*T2^12 + 
     641*T1^8*T2^12 - 697*T1^9*T2^12 + 605*T1^10*T2^12 - 697*T1^11*T2^12 + 
     641*T1^12*T2^12 + 148*T1^13*T2^12 - 136*T1^14*T2^12 - 10*T1^15*T2^12 + 
     34*T1^16*T2^12 - 32*T1^5*T2^13 + 40*T1^6*T2^13 + 112*T1^7*T2^13 - 
     398*T1^8*T2^13 + 148*T1^9*T2^13 - 10*T1^10*T2^13 - 10*T1^11*T2^13 + 
     148*T1^12*T2^13 - 398*T1^13*T2^13 + 112*T1^14*T2^13 + 40*T1^15*T2^13 - 
     32*T1^16*T2^13 + 24*T1^6*T2^14 - 70*T1^7*T2^14 + 58*T1^8*T2^14 + 
     112*T1^9*T2^14 - 136*T1^10*T2^14 + 120*T1^11*T2^14 - 136*T1^12*T2^14 + 
     112*T1^13*T2^14 + 58*T1^14*T2^14 - 70*T1^15*T2^14 + 24*T1^16*T2^14 - 
     10*T1^7*T2^15 + 40*T1^8*T2^15 - 70*T1^9*T2^15 + 40*T1^10*T2^15 - 
     10*T1^11*T2^15 - 10*T1^12*T2^15 + 40*T1^13*T2^15 - 70*T1^14*T2^15 + 
     40*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)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 849] -> 
  {-((3 - 17*T + 37*T^2 - 47*T^3 + 37*T^4 - 17*T^5 + 3*T^6)/T^3), 
   -((57 - 322*T1 + 695*T1^2 - 881*T1^3 + 695*T1^4 - 322*T1^5 + 57*T1^6 - 
      322*T2 + 1496*T1*T2 - 2084*T1^2*T2 + 1033*T1^3*T2 + 1033*T1^4*T2 - 
      2084*T1^5*T2 + 1496*T1^6*T2 - 322*T1^7*T2 + 695*T2^2 - 2084*T1*T2^2 - 
      1243*T1^2*T2^2 + 7653*T1^3*T2^2 - 11259*T1^4*T2^2 + 7653*T1^5*T2^2 - 
      1243*T1^6*T2^2 - 2084*T1^7*T2^2 + 695*T1^8*T2^2 - 881*T2^3 + 
      1033*T1*T2^3 + 7653*T1^2*T2^3 - 13050*T1^3*T2^3 + 7029*T1^4*T2^3 + 
      7029*T1^5*T2^3 - 13050*T1^6*T2^3 + 7653*T1^7*T2^3 + 1033*T1^8*T2^3 - 
      881*T1^9*T2^3 + 695*T2^4 + 1033*T1*T2^4 - 11259*T1^2*T2^4 + 
      7029*T1^3*T2^4 + 7918*T1^4*T2^4 - 18014*T1^5*T2^4 + 7918*T1^6*T2^4 + 
      7029*T1^7*T2^4 - 11259*T1^8*T2^4 + 1033*T1^9*T2^4 + 695*T1^10*T2^4 - 
      322*T2^5 - 2084*T1*T2^5 + 7653*T1^2*T2^5 + 7029*T1^3*T2^5 - 
      18014*T1^4*T2^5 + 11076*T1^5*T2^5 + 11076*T1^6*T2^5 - 18014*T1^7*T2^5 + 
      7029*T1^8*T2^5 + 7653*T1^9*T2^5 - 2084*T1^10*T2^5 - 322*T1^11*T2^5 + 
      57*T2^6 + 1496*T1*T2^6 - 1243*T1^2*T2^6 - 13050*T1^3*T2^6 + 
      7918*T1^4*T2^6 + 11076*T1^5*T2^6 - 24648*T1^6*T2^6 + 11076*T1^7*T2^6 + 
      7918*T1^8*T2^6 - 13050*T1^9*T2^6 - 1243*T1^10*T2^6 + 1496*T1^11*T2^6 + 
      57*T1^12*T2^6 - 322*T1*T2^7 - 2084*T1^2*T2^7 + 7653*T1^3*T2^7 + 
      7029*T1^4*T2^7 - 18014*T1^5*T2^7 + 11076*T1^6*T2^7 + 11076*T1^7*T2^7 - 
      18014*T1^8*T2^7 + 7029*T1^9*T2^7 + 7653*T1^10*T2^7 - 2084*T1^11*T2^7 - 
      322*T1^12*T2^7 + 695*T1^2*T2^8 + 1033*T1^3*T2^8 - 11259*T1^4*T2^8 + 
      7029*T1^5*T2^8 + 7918*T1^6*T2^8 - 18014*T1^7*T2^8 + 7918*T1^8*T2^8 + 
      7029*T1^9*T2^8 - 11259*T1^10*T2^8 + 1033*T1^11*T2^8 + 695*T1^12*T2^8 - 
      881*T1^3*T2^9 + 1033*T1^4*T2^9 + 7653*T1^5*T2^9 - 13050*T1^6*T2^9 + 
      7029*T1^7*T2^9 + 7029*T1^8*T2^9 - 13050*T1^9*T2^9 + 7653*T1^10*T2^9 + 
      1033*T1^11*T2^9 - 881*T1^12*T2^9 + 695*T1^4*T2^10 - 2084*T1^5*T2^10 - 
      1243*T1^6*T2^10 + 7653*T1^7*T2^10 - 11259*T1^8*T2^10 + 
      7653*T1^9*T2^10 - 1243*T1^10*T2^10 - 2084*T1^11*T2^10 + 
      695*T1^12*T2^10 - 322*T1^5*T2^11 + 1496*T1^6*T2^11 - 2084*T1^7*T2^11 + 
      1033*T1^8*T2^11 + 1033*T1^9*T2^11 - 2084*T1^10*T2^11 + 
      1496*T1^11*T2^11 - 322*T1^12*T2^11 + 57*T1^6*T2^12 - 322*T1^7*T2^12 + 
      695*T1^8*T2^12 - 881*T1^9*T2^12 + 695*T1^10*T2^12 - 322*T1^11*T2^12 + 
      57*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 850] -> 
  {((1 - T + T^2)*(1 + T - 2*T^2 + T^3 - 2*T^4 + T^5 + T^6))/T^4, 
   (4 - 8*T1^2 + 16*T1^3 - 20*T1^4 + 16*T1^5 - 8*T1^6 + 4*T1^8 - T1^2*T2 + 
     T1^3*T2 + T1^6*T2 - T1^7*T2 - 8*T2^2 - T1*T2^2 + 10*T1^2*T2^2 - 
     29*T1^3*T2^2 + 48*T1^4*T2^2 - 56*T1^5*T2^2 + 48*T1^6*T2^2 - 
     29*T1^7*T2^2 + 10*T1^8*T2^2 - T1^9*T2^2 - 8*T1^10*T2^2 + 16*T2^3 + 
     T1*T2^3 - 29*T1^2*T2^3 + 60*T1^3*T2^3 - 59*T1^4*T2^3 + 25*T1^5*T2^3 + 
     25*T1^6*T2^3 - 59*T1^7*T2^3 + 60*T1^8*T2^3 - 29*T1^9*T2^3 + T1^10*T2^3 + 
     16*T1^11*T2^3 - 20*T2^4 + 48*T1^2*T2^4 - 59*T1^3*T2^4 + 42*T1^4*T2^4 - 
     18*T1^5*T2^4 - 18*T1^7*T2^4 + 42*T1^8*T2^4 - 59*T1^9*T2^4 + 
     48*T1^10*T2^4 - 20*T1^12*T2^4 + 16*T2^5 - 56*T1^2*T2^5 + 25*T1^3*T2^5 - 
     18*T1^4*T2^5 + 4*T1^5*T2^5 + 9*T1^6*T2^5 + 9*T1^7*T2^5 + 4*T1^8*T2^5 - 
     18*T1^9*T2^5 + 25*T1^10*T2^5 - 56*T1^11*T2^5 + 16*T1^13*T2^5 - 8*T2^6 + 
     T1*T2^6 + 48*T1^2*T2^6 + 25*T1^3*T2^6 + 9*T1^5*T2^6 - 6*T1^6*T2^6 - 
     20*T1^7*T2^6 - 6*T1^8*T2^6 + 9*T1^9*T2^6 + 25*T1^11*T2^6 + 
     48*T1^12*T2^6 + T1^13*T2^6 - 8*T1^14*T2^6 - T1*T2^7 - 29*T1^2*T2^7 - 
     59*T1^3*T2^7 - 18*T1^4*T2^7 + 9*T1^5*T2^7 - 20*T1^6*T2^7 + 
     24*T1^7*T2^7 + 24*T1^8*T2^7 - 20*T1^9*T2^7 + 9*T1^10*T2^7 - 
     18*T1^11*T2^7 - 59*T1^12*T2^7 - 29*T1^13*T2^7 - T1^14*T2^7 + 4*T2^8 + 
     10*T1^2*T2^8 + 60*T1^3*T2^8 + 42*T1^4*T2^8 + 4*T1^5*T2^8 - 6*T1^6*T2^8 + 
     24*T1^7*T2^8 - 60*T1^8*T2^8 + 24*T1^9*T2^8 - 6*T1^10*T2^8 + 
     4*T1^11*T2^8 + 42*T1^12*T2^8 + 60*T1^13*T2^8 + 10*T1^14*T2^8 + 
     4*T1^16*T2^8 - T1^2*T2^9 - 29*T1^3*T2^9 - 59*T1^4*T2^9 - 18*T1^5*T2^9 + 
     9*T1^6*T2^9 - 20*T1^7*T2^9 + 24*T1^8*T2^9 + 24*T1^9*T2^9 - 
     20*T1^10*T2^9 + 9*T1^11*T2^9 - 18*T1^12*T2^9 - 59*T1^13*T2^9 - 
     29*T1^14*T2^9 - T1^15*T2^9 - 8*T1^2*T2^10 + T1^3*T2^10 + 48*T1^4*T2^10 + 
     25*T1^5*T2^10 + 9*T1^7*T2^10 - 6*T1^8*T2^10 - 20*T1^9*T2^10 - 
     6*T1^10*T2^10 + 9*T1^11*T2^10 + 25*T1^13*T2^10 + 48*T1^14*T2^10 + 
     T1^15*T2^10 - 8*T1^16*T2^10 + 16*T1^3*T2^11 - 56*T1^5*T2^11 + 
     25*T1^6*T2^11 - 18*T1^7*T2^11 + 4*T1^8*T2^11 + 9*T1^9*T2^11 + 
     9*T1^10*T2^11 + 4*T1^11*T2^11 - 18*T1^12*T2^11 + 25*T1^13*T2^11 - 
     56*T1^14*T2^11 + 16*T1^16*T2^11 - 20*T1^4*T2^12 + 48*T1^6*T2^12 - 
     59*T1^7*T2^12 + 42*T1^8*T2^12 - 18*T1^9*T2^12 - 18*T1^11*T2^12 + 
     42*T1^12*T2^12 - 59*T1^13*T2^12 + 48*T1^14*T2^12 - 20*T1^16*T2^12 + 
     16*T1^5*T2^13 + T1^6*T2^13 - 29*T1^7*T2^13 + 60*T1^8*T2^13 - 
     59*T1^9*T2^13 + 25*T1^10*T2^13 + 25*T1^11*T2^13 - 59*T1^12*T2^13 + 
     60*T1^13*T2^13 - 29*T1^14*T2^13 + T1^15*T2^13 + 16*T1^16*T2^13 - 
     8*T1^6*T2^14 - T1^7*T2^14 + 10*T1^8*T2^14 - 29*T1^9*T2^14 + 
     48*T1^10*T2^14 - 56*T1^11*T2^14 + 48*T1^12*T2^14 - 29*T1^13*T2^14 + 
     10*T1^14*T2^14 - T1^15*T2^14 - 8*T1^16*T2^14 - T1^9*T2^15 + 
     T1^10*T2^15 + T1^13*T2^15 - T1^14*T2^15 + 4*T1^8*T2^16 - 8*T1^10*T2^16 + 
     16*T1^11*T2^16 - 20*T1^12*T2^16 + 16*T1^13*T2^16 - 8*T1^14*T2^16 + 
     4*T1^16*T2^16)/(T1^8*T2^8)}, Knot[12, NonAlternating, 851] -> 
  {(2 - T - 3*T^2 + 5*T^3 - 3*T^4 - T^5 + 2*T^6)/T^3, 
   (25 - 12*T1 - 38*T1^2 + 63*T1^3 - 38*T1^4 - 12*T1^5 + 25*T1^6 - 12*T2 - 
     6*T1*T2 + 16*T1^2*T2 - 4*T1^3*T2 - 4*T1^4*T2 + 16*T1^5*T2 - 6*T1^6*T2 - 
     12*T1^7*T2 - 38*T2^2 + 16*T1*T2^2 + 37*T1^2*T2^2 - 73*T1^3*T2^2 + 
     77*T1^4*T2^2 - 73*T1^5*T2^2 + 37*T1^6*T2^2 + 16*T1^7*T2^2 - 
     38*T1^8*T2^2 + 63*T2^3 - 4*T1*T2^3 - 73*T1^2*T2^3 + 98*T1^3*T2^3 - 
     42*T1^4*T2^3 - 42*T1^5*T2^3 + 98*T1^6*T2^3 - 73*T1^7*T2^3 - 
     4*T1^8*T2^3 + 63*T1^9*T2^3 - 38*T2^4 - 4*T1*T2^4 + 77*T1^2*T2^4 - 
     42*T1^3*T2^4 - 58*T1^4*T2^4 + 98*T1^5*T2^4 - 58*T1^6*T2^4 - 
     42*T1^7*T2^4 + 77*T1^8*T2^4 - 4*T1^9*T2^4 - 38*T1^10*T2^4 - 12*T2^5 + 
     16*T1*T2^5 - 73*T1^2*T2^5 - 42*T1^3*T2^5 + 98*T1^4*T2^5 - 38*T1^5*T2^5 - 
     38*T1^6*T2^5 + 98*T1^7*T2^5 - 42*T1^8*T2^5 - 73*T1^9*T2^5 + 
     16*T1^10*T2^5 - 12*T1^11*T2^5 + 25*T2^6 - 6*T1*T2^6 + 37*T1^2*T2^6 + 
     98*T1^3*T2^6 - 58*T1^4*T2^6 - 38*T1^5*T2^6 + 60*T1^6*T2^6 - 
     38*T1^7*T2^6 - 58*T1^8*T2^6 + 98*T1^9*T2^6 + 37*T1^10*T2^6 - 
     6*T1^11*T2^6 + 25*T1^12*T2^6 - 12*T1*T2^7 + 16*T1^2*T2^7 - 
     73*T1^3*T2^7 - 42*T1^4*T2^7 + 98*T1^5*T2^7 - 38*T1^6*T2^7 - 
     38*T1^7*T2^7 + 98*T1^8*T2^7 - 42*T1^9*T2^7 - 73*T1^10*T2^7 + 
     16*T1^11*T2^7 - 12*T1^12*T2^7 - 38*T1^2*T2^8 - 4*T1^3*T2^8 + 
     77*T1^4*T2^8 - 42*T1^5*T2^8 - 58*T1^6*T2^8 + 98*T1^7*T2^8 - 
     58*T1^8*T2^8 - 42*T1^9*T2^8 + 77*T1^10*T2^8 - 4*T1^11*T2^8 - 
     38*T1^12*T2^8 + 63*T1^3*T2^9 - 4*T1^4*T2^9 - 73*T1^5*T2^9 + 
     98*T1^6*T2^9 - 42*T1^7*T2^9 - 42*T1^8*T2^9 + 98*T1^9*T2^9 - 
     73*T1^10*T2^9 - 4*T1^11*T2^9 + 63*T1^12*T2^9 - 38*T1^4*T2^10 + 
     16*T1^5*T2^10 + 37*T1^6*T2^10 - 73*T1^7*T2^10 + 77*T1^8*T2^10 - 
     73*T1^9*T2^10 + 37*T1^10*T2^10 + 16*T1^11*T2^10 - 38*T1^12*T2^10 - 
     12*T1^5*T2^11 - 6*T1^6*T2^11 + 16*T1^7*T2^11 - 4*T1^8*T2^11 - 
     4*T1^9*T2^11 + 16*T1^10*T2^11 - 6*T1^11*T2^11 - 12*T1^12*T2^11 + 
     25*T1^6*T2^12 - 12*T1^7*T2^12 - 38*T1^8*T2^12 + 63*T1^9*T2^12 - 
     38*T1^10*T2^12 - 12*T1^11*T2^12 + 25*T1^12*T2^12)/(T1^6*T2^6)}, 
 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, 
   -((2 - 8*T1 + 13*T1^2 - 14*T1^3 + 13*T1^4 - 8*T1^5 + 2*T1^6 - 8*T2 + 
      22*T1*T2 - 14*T1^2*T2 - 14*T1^5*T2 + 22*T1^6*T2 - 8*T1^7*T2 + 13*T2^2 - 
      14*T1*T2^2 - 44*T1^2*T2^2 + 54*T1^3*T2^2 - 24*T1^4*T2^2 + 
      54*T1^5*T2^2 - 44*T1^6*T2^2 - 14*T1^7*T2^2 + 13*T1^8*T2^2 - 14*T2^3 + 
      54*T1^2*T2^3 + 40*T1^3*T2^3 - 61*T1^4*T2^3 - 61*T1^5*T2^3 + 
      40*T1^6*T2^3 + 54*T1^7*T2^3 - 14*T1^9*T2^3 + 13*T2^4 - 24*T1^2*T2^4 - 
      61*T1^3*T2^4 - 157*T1^4*T2^4 + 343*T1^5*T2^4 - 157*T1^6*T2^4 - 
      61*T1^7*T2^4 - 24*T1^8*T2^4 + 13*T1^10*T2^4 - 8*T2^5 - 14*T1*T2^5 + 
      54*T1^2*T2^5 - 61*T1^3*T2^5 + 343*T1^4*T2^5 - 208*T1^5*T2^5 - 
      208*T1^6*T2^5 + 343*T1^7*T2^5 - 61*T1^8*T2^5 + 54*T1^9*T2^5 - 
      14*T1^10*T2^5 - 8*T1^11*T2^5 + 2*T2^6 + 22*T1*T2^6 - 44*T1^2*T2^6 + 
      40*T1^3*T2^6 - 157*T1^4*T2^6 - 208*T1^5*T2^6 + 432*T1^6*T2^6 - 
      208*T1^7*T2^6 - 157*T1^8*T2^6 + 40*T1^9*T2^6 - 44*T1^10*T2^6 + 
      22*T1^11*T2^6 + 2*T1^12*T2^6 - 8*T1*T2^7 - 14*T1^2*T2^7 + 
      54*T1^3*T2^7 - 61*T1^4*T2^7 + 343*T1^5*T2^7 - 208*T1^6*T2^7 - 
      208*T1^7*T2^7 + 343*T1^8*T2^7 - 61*T1^9*T2^7 + 54*T1^10*T2^7 - 
      14*T1^11*T2^7 - 8*T1^12*T2^7 + 13*T1^2*T2^8 - 24*T1^4*T2^8 - 
      61*T1^5*T2^8 - 157*T1^6*T2^8 + 343*T1^7*T2^8 - 157*T1^8*T2^8 - 
      61*T1^9*T2^8 - 24*T1^10*T2^8 + 13*T1^12*T2^8 - 14*T1^3*T2^9 + 
      54*T1^5*T2^9 + 40*T1^6*T2^9 - 61*T1^7*T2^9 - 61*T1^8*T2^9 + 
      40*T1^9*T2^9 + 54*T1^10*T2^9 - 14*T1^12*T2^9 + 13*T1^4*T2^10 - 
      14*T1^5*T2^10 - 44*T1^6*T2^10 + 54*T1^7*T2^10 - 24*T1^8*T2^10 + 
      54*T1^9*T2^10 - 44*T1^10*T2^10 - 14*T1^11*T2^10 + 13*T1^12*T2^10 - 
      8*T1^5*T2^11 + 22*T1^6*T2^11 - 14*T1^7*T2^11 - 14*T1^10*T2^11 + 
      22*T1^11*T2^11 - 8*T1^12*T2^11 + 2*T1^6*T2^12 - 8*T1^7*T2^12 + 
      13*T1^8*T2^12 - 14*T1^9*T2^12 + 13*T1^10*T2^12 - 8*T1^11*T2^12 + 
      2*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 853] -> 
  {-((3 - 13*T + 28*T^2 - 37*T^3 + 28*T^4 - 13*T^5 + 3*T^6)/T^3), 
   (3 - 12*T1 + 26*T1^2 - 35*T1^3 + 26*T1^4 - 12*T1^5 + 3*T1^6 - 12*T2 + 
     36*T1*T2 - 56*T1^2*T2 + 37*T1^3*T2 + 37*T1^4*T2 - 56*T1^5*T2 + 
     36*T1^6*T2 - 12*T1^7*T2 + 26*T2^2 - 56*T1*T2^2 + 82*T1^2*T2^2 - 
     74*T1^3*T2^2 - 12*T1^4*T2^2 - 74*T1^5*T2^2 + 82*T1^6*T2^2 - 
     56*T1^7*T2^2 + 26*T1^8*T2^2 - 35*T2^3 + 37*T1*T2^3 - 74*T1^2*T2^3 + 
     92*T1^3*T2^3 + 80*T1^4*T2^3 + 80*T1^5*T2^3 + 92*T1^6*T2^3 - 
     74*T1^7*T2^3 + 37*T1^8*T2^3 - 35*T1^9*T2^3 + 26*T2^4 + 37*T1*T2^4 - 
     12*T1^2*T2^4 + 80*T1^3*T2^4 - 407*T1^4*T2^4 + 75*T1^5*T2^4 - 
     407*T1^6*T2^4 + 80*T1^7*T2^4 - 12*T1^8*T2^4 + 37*T1^9*T2^4 + 
     26*T1^10*T2^4 - 12*T2^5 - 56*T1*T2^5 - 74*T1^2*T2^5 + 80*T1^3*T2^5 + 
     75*T1^4*T2^5 + 382*T1^5*T2^5 + 382*T1^6*T2^5 + 75*T1^7*T2^5 + 
     80*T1^8*T2^5 - 74*T1^9*T2^5 - 56*T1^10*T2^5 - 12*T1^11*T2^5 + 3*T2^6 + 
     36*T1*T2^6 + 82*T1^2*T2^6 + 92*T1^3*T2^6 - 407*T1^4*T2^6 + 
     382*T1^5*T2^6 - 1308*T1^6*T2^6 + 382*T1^7*T2^6 - 407*T1^8*T2^6 + 
     92*T1^9*T2^6 + 82*T1^10*T2^6 + 36*T1^11*T2^6 + 3*T1^12*T2^6 - 
     12*T1*T2^7 - 56*T1^2*T2^7 - 74*T1^3*T2^7 + 80*T1^4*T2^7 + 75*T1^5*T2^7 + 
     382*T1^6*T2^7 + 382*T1^7*T2^7 + 75*T1^8*T2^7 + 80*T1^9*T2^7 - 
     74*T1^10*T2^7 - 56*T1^11*T2^7 - 12*T1^12*T2^7 + 26*T1^2*T2^8 + 
     37*T1^3*T2^8 - 12*T1^4*T2^8 + 80*T1^5*T2^8 - 407*T1^6*T2^8 + 
     75*T1^7*T2^8 - 407*T1^8*T2^8 + 80*T1^9*T2^8 - 12*T1^10*T2^8 + 
     37*T1^11*T2^8 + 26*T1^12*T2^8 - 35*T1^3*T2^9 + 37*T1^4*T2^9 - 
     74*T1^5*T2^9 + 92*T1^6*T2^9 + 80*T1^7*T2^9 + 80*T1^8*T2^9 + 
     92*T1^9*T2^9 - 74*T1^10*T2^9 + 37*T1^11*T2^9 - 35*T1^12*T2^9 + 
     26*T1^4*T2^10 - 56*T1^5*T2^10 + 82*T1^6*T2^10 - 74*T1^7*T2^10 - 
     12*T1^8*T2^10 - 74*T1^9*T2^10 + 82*T1^10*T2^10 - 56*T1^11*T2^10 + 
     26*T1^12*T2^10 - 12*T1^5*T2^11 + 36*T1^6*T2^11 - 56*T1^7*T2^11 + 
     37*T1^8*T2^11 + 37*T1^9*T2^11 - 56*T1^10*T2^11 + 36*T1^11*T2^11 - 
     12*T1^12*T2^11 + 3*T1^6*T2^12 - 12*T1^7*T2^12 + 26*T1^8*T2^12 - 
     35*T1^9*T2^12 + 26*T1^10*T2^12 - 12*T1^11*T2^12 + 3*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 854] -> 
  {((3 - 5*T + 3*T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3, 
   (30 - 139*T1 + 327*T1^2 - 424*T1^3 + 327*T1^4 - 139*T1^5 + 30*T1^6 - 
     139*T2 + 506*T1*T2 - 873*T1^2*T2 + 451*T1^3*T2 + 451*T1^4*T2 - 
     873*T1^5*T2 + 506*T1^6*T2 - 139*T1^7*T2 + 327*T2^2 - 873*T1*T2^2 + 
     848*T1^2*T2^2 + 1095*T1^3*T2^2 - 2296*T1^4*T2^2 + 1095*T1^5*T2^2 + 
     848*T1^6*T2^2 - 873*T1^7*T2^2 + 327*T1^8*T2^2 - 424*T2^3 + 451*T1*T2^3 + 
     1095*T1^2*T2^3 - 4390*T1^3*T2^3 + 2560*T1^4*T2^3 + 2560*T1^5*T2^3 - 
     4390*T1^6*T2^3 + 1095*T1^7*T2^3 + 451*T1^8*T2^3 - 424*T1^9*T2^3 + 
     327*T2^4 + 451*T1*T2^4 - 2296*T1^2*T2^4 + 2560*T1^3*T2^4 + 
     6092*T1^4*T2^4 - 11442*T1^5*T2^4 + 6092*T1^6*T2^4 + 2560*T1^7*T2^4 - 
     2296*T1^8*T2^4 + 451*T1^9*T2^4 + 327*T1^10*T2^4 - 139*T2^5 - 
     873*T1*T2^5 + 1095*T1^2*T2^5 + 2560*T1^3*T2^5 - 11442*T1^4*T2^5 + 
     6702*T1^5*T2^5 + 6702*T1^6*T2^5 - 11442*T1^7*T2^5 + 2560*T1^8*T2^5 + 
     1095*T1^9*T2^5 - 873*T1^10*T2^5 - 139*T1^11*T2^5 + 30*T2^6 + 
     506*T1*T2^6 + 848*T1^2*T2^6 - 4390*T1^3*T2^6 + 6092*T1^4*T2^6 + 
     6702*T1^5*T2^6 - 14808*T1^6*T2^6 + 6702*T1^7*T2^6 + 6092*T1^8*T2^6 - 
     4390*T1^9*T2^6 + 848*T1^10*T2^6 + 506*T1^11*T2^6 + 30*T1^12*T2^6 - 
     139*T1*T2^7 - 873*T1^2*T2^7 + 1095*T1^3*T2^7 + 2560*T1^4*T2^7 - 
     11442*T1^5*T2^7 + 6702*T1^6*T2^7 + 6702*T1^7*T2^7 - 11442*T1^8*T2^7 + 
     2560*T1^9*T2^7 + 1095*T1^10*T2^7 - 873*T1^11*T2^7 - 139*T1^12*T2^7 + 
     327*T1^2*T2^8 + 451*T1^3*T2^8 - 2296*T1^4*T2^8 + 2560*T1^5*T2^8 + 
     6092*T1^6*T2^8 - 11442*T1^7*T2^8 + 6092*T1^8*T2^8 + 2560*T1^9*T2^8 - 
     2296*T1^10*T2^8 + 451*T1^11*T2^8 + 327*T1^12*T2^8 - 424*T1^3*T2^9 + 
     451*T1^4*T2^9 + 1095*T1^5*T2^9 - 4390*T1^6*T2^9 + 2560*T1^7*T2^9 + 
     2560*T1^8*T2^9 - 4390*T1^9*T2^9 + 1095*T1^10*T2^9 + 451*T1^11*T2^9 - 
     424*T1^12*T2^9 + 327*T1^4*T2^10 - 873*T1^5*T2^10 + 848*T1^6*T2^10 + 
     1095*T1^7*T2^10 - 2296*T1^8*T2^10 + 1095*T1^9*T2^10 + 848*T1^10*T2^10 - 
     873*T1^11*T2^10 + 327*T1^12*T2^10 - 139*T1^5*T2^11 + 506*T1^6*T2^11 - 
     873*T1^7*T2^11 + 451*T1^8*T2^11 + 451*T1^9*T2^11 - 873*T1^10*T2^11 + 
     506*T1^11*T2^11 - 139*T1^12*T2^11 + 30*T1^6*T2^12 - 139*T1^7*T2^12 + 
     327*T1^8*T2^12 - 424*T1^9*T2^12 + 327*T1^10*T2^12 - 139*T1^11*T2^12 + 
     30*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 855] -> 
  {-((3 - 10*T + 18*T^2 - 23*T^3 + 18*T^4 - 10*T^5 + 3*T^6)/T^3), 
   (3 - 9*T1 + 15*T1^2 - 19*T1^3 + 15*T1^4 - 9*T1^5 + 3*T1^6 - 9*T2 + 
     18*T1*T2 - 18*T1^2*T2 + 12*T1^3*T2 + 12*T1^4*T2 - 18*T1^5*T2 + 
     18*T1^6*T2 - 9*T1^7*T2 + 15*T2^2 - 18*T1*T2^2 + 23*T1^2*T2^2 - 
     55*T1^3*T2^2 + 47*T1^4*T2^2 - 55*T1^5*T2^2 + 23*T1^6*T2^2 - 
     18*T1^7*T2^2 + 15*T1^8*T2^2 - 19*T2^3 + 12*T1*T2^3 - 55*T1^2*T2^3 + 
     132*T1^3*T2^3 - 34*T1^4*T2^3 - 34*T1^5*T2^3 + 132*T1^6*T2^3 - 
     55*T1^7*T2^3 + 12*T1^8*T2^3 - 19*T1^9*T2^3 + 15*T2^4 + 12*T1*T2^4 + 
     47*T1^2*T2^4 - 34*T1^3*T2^4 - 263*T1^4*T2^4 + 283*T1^5*T2^4 - 
     263*T1^6*T2^4 - 34*T1^7*T2^4 + 47*T1^8*T2^4 + 12*T1^9*T2^4 + 
     15*T1^10*T2^4 - 9*T2^5 - 18*T1*T2^5 - 55*T1^2*T2^5 - 34*T1^3*T2^5 + 
     283*T1^4*T2^5 - 36*T1^5*T2^5 - 36*T1^6*T2^5 + 283*T1^7*T2^5 - 
     34*T1^8*T2^5 - 55*T1^9*T2^5 - 18*T1^10*T2^5 - 9*T1^11*T2^5 + 3*T2^6 + 
     18*T1*T2^6 + 23*T1^2*T2^6 + 132*T1^3*T2^6 - 263*T1^4*T2^6 - 
     36*T1^5*T2^6 - 60*T1^6*T2^6 - 36*T1^7*T2^6 - 263*T1^8*T2^6 + 
     132*T1^9*T2^6 + 23*T1^10*T2^6 + 18*T1^11*T2^6 + 3*T1^12*T2^6 - 
     9*T1*T2^7 - 18*T1^2*T2^7 - 55*T1^3*T2^7 - 34*T1^4*T2^7 + 283*T1^5*T2^7 - 
     36*T1^6*T2^7 - 36*T1^7*T2^7 + 283*T1^8*T2^7 - 34*T1^9*T2^7 - 
     55*T1^10*T2^7 - 18*T1^11*T2^7 - 9*T1^12*T2^7 + 15*T1^2*T2^8 + 
     12*T1^3*T2^8 + 47*T1^4*T2^8 - 34*T1^5*T2^8 - 263*T1^6*T2^8 + 
     283*T1^7*T2^8 - 263*T1^8*T2^8 - 34*T1^9*T2^8 + 47*T1^10*T2^8 + 
     12*T1^11*T2^8 + 15*T1^12*T2^8 - 19*T1^3*T2^9 + 12*T1^4*T2^9 - 
     55*T1^5*T2^9 + 132*T1^6*T2^9 - 34*T1^7*T2^9 - 34*T1^8*T2^9 + 
     132*T1^9*T2^9 - 55*T1^10*T2^9 + 12*T1^11*T2^9 - 19*T1^12*T2^9 + 
     15*T1^4*T2^10 - 18*T1^5*T2^10 + 23*T1^6*T2^10 - 55*T1^7*T2^10 + 
     47*T1^8*T2^10 - 55*T1^9*T2^10 + 23*T1^10*T2^10 - 18*T1^11*T2^10 + 
     15*T1^12*T2^10 - 9*T1^5*T2^11 + 18*T1^6*T2^11 - 18*T1^7*T2^11 + 
     12*T1^8*T2^11 + 12*T1^9*T2^11 - 18*T1^10*T2^11 + 18*T1^11*T2^11 - 
     9*T1^12*T2^11 + 3*T1^6*T2^12 - 9*T1^7*T2^12 + 15*T1^8*T2^12 - 
     19*T1^9*T2^12 + 15*T1^10*T2^12 - 9*T1^11*T2^12 + 3*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 856] -> 
  {-((5 - 14*T + 17*T^2 - 14*T^3 + 5*T^4)/T^2), 
   (115 - 307*T1 + 363*T1^2 - 307*T1^3 + 115*T1^4 - 307*T2 + 510*T1*T2 - 
     149*T1^2*T2 - 149*T1^3*T2 + 510*T1^4*T2 - 307*T1^5*T2 + 363*T2^2 - 
     149*T1*T2^2 - 758*T1^2*T2^2 + 848*T1^3*T2^2 - 758*T1^4*T2^2 - 
     149*T1^5*T2^2 + 363*T1^6*T2^2 - 307*T2^3 - 149*T1*T2^3 + 848*T1^2*T2^3 - 
     226*T1^3*T2^3 - 226*T1^4*T2^3 + 848*T1^5*T2^3 - 149*T1^6*T2^3 - 
     307*T1^7*T2^3 + 115*T2^4 + 510*T1*T2^4 - 758*T1^2*T2^4 - 226*T1^3*T2^4 + 
     360*T1^4*T2^4 - 226*T1^5*T2^4 - 758*T1^6*T2^4 + 510*T1^7*T2^4 + 
     115*T1^8*T2^4 - 307*T1*T2^5 - 149*T1^2*T2^5 + 848*T1^3*T2^5 - 
     226*T1^4*T2^5 - 226*T1^5*T2^5 + 848*T1^6*T2^5 - 149*T1^7*T2^5 - 
     307*T1^8*T2^5 + 363*T1^2*T2^6 - 149*T1^3*T2^6 - 758*T1^4*T2^6 + 
     848*T1^5*T2^6 - 758*T1^6*T2^6 - 149*T1^7*T2^6 + 363*T1^8*T2^6 - 
     307*T1^3*T2^7 + 510*T1^4*T2^7 - 149*T1^5*T2^7 - 149*T1^6*T2^7 + 
     510*T1^7*T2^7 - 307*T1^8*T2^7 + 115*T1^4*T2^8 - 307*T1^5*T2^8 + 
     363*T1^6*T2^8 - 307*T1^7*T2^8 + 115*T1^8*T2^8)/(T1^4*T2^4)}, 
 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), (1 - 6*T1 + 17*T1^2 - 29*T1^3 + 33*T1^4 - 29*T1^5 + 17*T1^6 - 
     6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 66*T1^2*T2 + 72*T1^3*T2 - 24*T1^4*T2 - 
     24*T1^5*T2 + 72*T1^6*T2 - 66*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 
     17*T2^2 - 66*T1*T2^2 + 88*T1^2*T2^2 + 27*T1^3*T2^2 - 219*T1^4*T2^2 + 
     240*T1^5*T2^2 - 219*T1^6*T2^2 + 27*T1^7*T2^2 + 88*T1^8*T2^2 - 
     66*T1^9*T2^2 + 17*T1^10*T2^2 - 29*T2^3 + 72*T1*T2^3 + 27*T1^2*T2^3 - 
     348*T1^3*T2^3 + 505*T1^4*T2^3 - 117*T1^5*T2^3 - 117*T1^6*T2^3 + 
     505*T1^7*T2^3 - 348*T1^8*T2^3 + 27*T1^9*T2^3 + 72*T1^10*T2^3 - 
     29*T1^11*T2^3 + 33*T2^4 - 24*T1*T2^4 - 219*T1^2*T2^4 + 505*T1^3*T2^4 - 
     88*T1^4*T2^4 - 902*T1^5*T2^4 + 898*T1^6*T2^4 - 902*T1^7*T2^4 - 
     88*T1^8*T2^4 + 505*T1^9*T2^4 - 219*T1^10*T2^4 - 24*T1^11*T2^4 + 
     33*T1^12*T2^4 - 29*T2^5 - 24*T1*T2^5 + 240*T1^2*T2^5 - 117*T1^3*T2^5 - 
     902*T1^4*T2^5 + 1586*T1^5*T2^5 - 363*T1^6*T2^5 - 363*T1^7*T2^5 + 
     1586*T1^8*T2^5 - 902*T1^9*T2^5 - 117*T1^10*T2^5 + 240*T1^11*T2^5 - 
     24*T1^12*T2^5 - 29*T1^13*T2^5 + 17*T2^6 + 72*T1*T2^6 - 219*T1^2*T2^6 - 
     117*T1^3*T2^6 + 898*T1^4*T2^6 - 363*T1^5*T2^6 - 1777*T1^6*T2^6 + 
     2041*T1^7*T2^6 - 1777*T1^8*T2^6 - 363*T1^9*T2^6 + 898*T1^10*T2^6 - 
     117*T1^11*T2^6 - 219*T1^12*T2^6 + 72*T1^13*T2^6 + 17*T1^14*T2^6 - 
     6*T2^7 - 66*T1*T2^7 + 27*T1^2*T2^7 + 505*T1^3*T2^7 - 902*T1^4*T2^7 - 
     363*T1^5*T2^7 + 2041*T1^6*T2^7 - 770*T1^7*T2^7 - 770*T1^8*T2^7 + 
     2041*T1^9*T2^7 - 363*T1^10*T2^7 - 902*T1^11*T2^7 + 505*T1^12*T2^7 + 
     27*T1^13*T2^7 - 66*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 
     88*T1^2*T2^8 - 348*T1^3*T2^8 - 88*T1^4*T2^8 + 1586*T1^5*T2^8 - 
     1777*T1^6*T2^8 - 770*T1^7*T2^8 + 1656*T1^8*T2^8 - 770*T1^9*T2^8 - 
     1777*T1^10*T2^8 + 1586*T1^11*T2^8 - 88*T1^12*T2^8 - 348*T1^13*T2^8 + 
     88*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 66*T1^2*T2^9 + 
     27*T1^3*T2^9 + 505*T1^4*T2^9 - 902*T1^5*T2^9 - 363*T1^6*T2^9 + 
     2041*T1^7*T2^9 - 770*T1^8*T2^9 - 770*T1^9*T2^9 + 2041*T1^10*T2^9 - 
     363*T1^11*T2^9 - 902*T1^12*T2^9 + 505*T1^13*T2^9 + 27*T1^14*T2^9 - 
     66*T1^15*T2^9 - 6*T1^16*T2^9 + 17*T1^2*T2^10 + 72*T1^3*T2^10 - 
     219*T1^4*T2^10 - 117*T1^5*T2^10 + 898*T1^6*T2^10 - 363*T1^7*T2^10 - 
     1777*T1^8*T2^10 + 2041*T1^9*T2^10 - 1777*T1^10*T2^10 - 363*T1^11*T2^10 + 
     898*T1^12*T2^10 - 117*T1^13*T2^10 - 219*T1^14*T2^10 + 72*T1^15*T2^10 + 
     17*T1^16*T2^10 - 29*T1^3*T2^11 - 24*T1^4*T2^11 + 240*T1^5*T2^11 - 
     117*T1^6*T2^11 - 902*T1^7*T2^11 + 1586*T1^8*T2^11 - 363*T1^9*T2^11 - 
     363*T1^10*T2^11 + 1586*T1^11*T2^11 - 902*T1^12*T2^11 - 117*T1^13*T2^11 + 
     240*T1^14*T2^11 - 24*T1^15*T2^11 - 29*T1^16*T2^11 + 33*T1^4*T2^12 - 
     24*T1^5*T2^12 - 219*T1^6*T2^12 + 505*T1^7*T2^12 - 88*T1^8*T2^12 - 
     902*T1^9*T2^12 + 898*T1^10*T2^12 - 902*T1^11*T2^12 - 88*T1^12*T2^12 + 
     505*T1^13*T2^12 - 219*T1^14*T2^12 - 24*T1^15*T2^12 + 33*T1^16*T2^12 - 
     29*T1^5*T2^13 + 72*T1^6*T2^13 + 27*T1^7*T2^13 - 348*T1^8*T2^13 + 
     505*T1^9*T2^13 - 117*T1^10*T2^13 - 117*T1^11*T2^13 + 505*T1^12*T2^13 - 
     348*T1^13*T2^13 + 27*T1^14*T2^13 + 72*T1^15*T2^13 - 29*T1^16*T2^13 + 
     17*T1^6*T2^14 - 66*T1^7*T2^14 + 88*T1^8*T2^14 + 27*T1^9*T2^14 - 
     219*T1^10*T2^14 + 240*T1^11*T2^14 - 219*T1^12*T2^14 + 27*T1^13*T2^14 + 
     88*T1^14*T2^14 - 66*T1^15*T2^14 + 17*T1^16*T2^14 - 6*T1^7*T2^15 + 
     30*T1^8*T2^15 - 66*T1^9*T2^15 + 72*T1^10*T2^15 - 24*T1^11*T2^15 - 
     24*T1^12*T2^15 + 72*T1^13*T2^15 - 66*T1^14*T2^15 + 30*T1^15*T2^15 - 
     6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 17*T1^10*T2^16 - 
     29*T1^11*T2^16 + 33*T1^12*T2^16 - 29*T1^13*T2^16 + 17*T1^14*T2^16 - 
     6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 858] -> 
  {((1 - T + T^2)*(2 - 9*T + 15*T^2 - 9*T^3 + 2*T^4))/T^3, 
   -((9 - 49*T1 + 115*T1^2 - 145*T1^3 + 115*T1^4 - 49*T1^5 + 9*T1^6 - 49*T2 + 
      218*T1*T2 - 361*T1^2*T2 + 163*T1^3*T2 + 163*T1^4*T2 - 361*T1^5*T2 + 
      218*T1^6*T2 - 49*T1^7*T2 + 115*T2^2 - 361*T1*T2^2 + 138*T1^2*T2^2 + 
      957*T1^3*T2^2 - 1390*T1^4*T2^2 + 957*T1^5*T2^2 + 138*T1^6*T2^2 - 
      361*T1^7*T2^2 + 115*T1^8*T2^2 - 145*T2^3 + 163*T1*T2^3 + 
      957*T1^2*T2^3 - 2552*T1^3*T2^3 + 1094*T1^4*T2^3 + 1094*T1^5*T2^3 - 
      2552*T1^6*T2^3 + 957*T1^7*T2^3 + 163*T1^8*T2^3 - 145*T1^9*T2^3 + 
      115*T2^4 + 163*T1*T2^4 - 1390*T1^2*T2^4 + 1094*T1^3*T2^4 + 
      3768*T1^4*T2^4 - 5480*T1^5*T2^4 + 3768*T1^6*T2^4 + 1094*T1^7*T2^4 - 
      1390*T1^8*T2^4 + 163*T1^9*T2^4 + 115*T1^10*T2^4 - 49*T2^5 - 
      361*T1*T2^5 + 957*T1^2*T2^5 + 1094*T1^3*T2^5 - 5480*T1^4*T2^5 + 
      2316*T1^5*T2^5 + 2316*T1^6*T2^5 - 5480*T1^7*T2^5 + 1094*T1^8*T2^5 + 
      957*T1^9*T2^5 - 361*T1^10*T2^5 - 49*T1^11*T2^5 + 9*T2^6 + 218*T1*T2^6 + 
      138*T1^2*T2^6 - 2552*T1^3*T2^6 + 3768*T1^4*T2^6 + 2316*T1^5*T2^6 - 
      4320*T1^6*T2^6 + 2316*T1^7*T2^6 + 3768*T1^8*T2^6 - 2552*T1^9*T2^6 + 
      138*T1^10*T2^6 + 218*T1^11*T2^6 + 9*T1^12*T2^6 - 49*T1*T2^7 - 
      361*T1^2*T2^7 + 957*T1^3*T2^7 + 1094*T1^4*T2^7 - 5480*T1^5*T2^7 + 
      2316*T1^6*T2^7 + 2316*T1^7*T2^7 - 5480*T1^8*T2^7 + 1094*T1^9*T2^7 + 
      957*T1^10*T2^7 - 361*T1^11*T2^7 - 49*T1^12*T2^7 + 115*T1^2*T2^8 + 
      163*T1^3*T2^8 - 1390*T1^4*T2^8 + 1094*T1^5*T2^8 + 3768*T1^6*T2^8 - 
      5480*T1^7*T2^8 + 3768*T1^8*T2^8 + 1094*T1^9*T2^8 - 1390*T1^10*T2^8 + 
      163*T1^11*T2^8 + 115*T1^12*T2^8 - 145*T1^3*T2^9 + 163*T1^4*T2^9 + 
      957*T1^5*T2^9 - 2552*T1^6*T2^9 + 1094*T1^7*T2^9 + 1094*T1^8*T2^9 - 
      2552*T1^9*T2^9 + 957*T1^10*T2^9 + 163*T1^11*T2^9 - 145*T1^12*T2^9 + 
      115*T1^4*T2^10 - 361*T1^5*T2^10 + 138*T1^6*T2^10 + 957*T1^7*T2^10 - 
      1390*T1^8*T2^10 + 957*T1^9*T2^10 + 138*T1^10*T2^10 - 361*T1^11*T2^10 + 
      115*T1^12*T2^10 - 49*T1^5*T2^11 + 218*T1^6*T2^11 - 361*T1^7*T2^11 + 
      163*T1^8*T2^11 + 163*T1^9*T2^11 - 361*T1^10*T2^11 + 218*T1^11*T2^11 - 
      49*T1^12*T2^11 + 9*T1^6*T2^12 - 49*T1^7*T2^12 + 115*T1^8*T2^12 - 
      145*T1^9*T2^12 + 115*T1^10*T2^12 - 49*T1^11*T2^12 + 9*T1^12*T2^12)/
     (T1^6*T2^6))}, 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, 
   -((1 - 2*T1 + 3*T1^2 - 5*T1^3 + 3*T1^4 - 2*T1^5 + T1^6 - 2*T2 - 18*T1*T2 + 
      39*T1^2*T2 - 12*T1^3*T2 - 12*T1^4*T2 + 39*T1^5*T2 - 18*T1^6*T2 - 
      2*T1^7*T2 + 3*T2^2 + 39*T1*T2^2 + 37*T1^2*T2^2 - 262*T1^3*T2^2 + 
      285*T1^4*T2^2 - 262*T1^5*T2^2 + 37*T1^6*T2^2 + 39*T1^7*T2^2 + 
      3*T1^8*T2^2 - 5*T2^3 - 12*T1*T2^3 - 262*T1^2*T2^3 + 440*T1^3*T2^3 - 
      27*T1^4*T2^3 - 27*T1^5*T2^3 + 440*T1^6*T2^3 - 262*T1^7*T2^3 - 
      12*T1^8*T2^3 - 5*T1^9*T2^3 + 3*T2^4 - 12*T1*T2^4 + 285*T1^2*T2^4 - 
      27*T1^3*T2^4 - 403*T1^4*T2^4 - 277*T1^5*T2^4 - 403*T1^6*T2^4 - 
      27*T1^7*T2^4 + 285*T1^8*T2^4 - 12*T1^9*T2^4 + 3*T1^10*T2^4 - 2*T2^5 + 
      39*T1*T2^5 - 262*T1^2*T2^5 - 27*T1^3*T2^5 - 277*T1^4*T2^5 + 
      984*T1^5*T2^5 + 984*T1^6*T2^5 - 277*T1^7*T2^5 - 27*T1^8*T2^5 - 
      262*T1^9*T2^5 + 39*T1^10*T2^5 - 2*T1^11*T2^5 + T2^6 - 18*T1*T2^6 + 
      37*T1^2*T2^6 + 440*T1^3*T2^6 - 403*T1^4*T2^6 + 984*T1^5*T2^6 - 
      3132*T1^6*T2^6 + 984*T1^7*T2^6 - 403*T1^8*T2^6 + 440*T1^9*T2^6 + 
      37*T1^10*T2^6 - 18*T1^11*T2^6 + T1^12*T2^6 - 2*T1*T2^7 + 39*T1^2*T2^7 - 
      262*T1^3*T2^7 - 27*T1^4*T2^7 - 277*T1^5*T2^7 + 984*T1^6*T2^7 + 
      984*T1^7*T2^7 - 277*T1^8*T2^7 - 27*T1^9*T2^7 - 262*T1^10*T2^7 + 
      39*T1^11*T2^7 - 2*T1^12*T2^7 + 3*T1^2*T2^8 - 12*T1^3*T2^8 + 
      285*T1^4*T2^8 - 27*T1^5*T2^8 - 403*T1^6*T2^8 - 277*T1^7*T2^8 - 
      403*T1^8*T2^8 - 27*T1^9*T2^8 + 285*T1^10*T2^8 - 12*T1^11*T2^8 + 
      3*T1^12*T2^8 - 5*T1^3*T2^9 - 12*T1^4*T2^9 - 262*T1^5*T2^9 + 
      440*T1^6*T2^9 - 27*T1^7*T2^9 - 27*T1^8*T2^9 + 440*T1^9*T2^9 - 
      262*T1^10*T2^9 - 12*T1^11*T2^9 - 5*T1^12*T2^9 + 3*T1^4*T2^10 + 
      39*T1^5*T2^10 + 37*T1^6*T2^10 - 262*T1^7*T2^10 + 285*T1^8*T2^10 - 
      262*T1^9*T2^10 + 37*T1^10*T2^10 + 39*T1^11*T2^10 + 3*T1^12*T2^10 - 
      2*T1^5*T2^11 - 18*T1^6*T2^11 + 39*T1^7*T2^11 - 12*T1^8*T2^11 - 
      12*T1^9*T2^11 + 39*T1^10*T2^11 - 18*T1^11*T2^11 - 2*T1^12*T2^11 + 
      T1^6*T2^12 - 2*T1^7*T2^12 + 3*T1^8*T2^12 - 5*T1^9*T2^12 + 
      3*T1^10*T2^12 - 2*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 860] -> 
  {(3 - 15*T + 33*T^2 - 41*T^3 + 33*T^4 - 15*T^5 + 3*T^6)/T^3, 
   -((30 - 147*T1 + 314*T1^2 - 384*T1^3 + 314*T1^4 - 147*T1^5 + 30*T1^6 - 
      147*T2 + 578*T1*T2 - 834*T1^2*T2 + 354*T1^3*T2 + 354*T1^4*T2 - 
      834*T1^5*T2 + 578*T1^6*T2 - 147*T1^7*T2 + 314*T2^2 - 834*T1*T2^2 + 
      101*T1^2*T2^2 + 2046*T1^3*T2^2 - 2805*T1^4*T2^2 + 2046*T1^5*T2^2 + 
      101*T1^6*T2^2 - 834*T1^7*T2^2 + 314*T1^8*T2^2 - 384*T2^3 + 
      354*T1*T2^3 + 2046*T1^2*T2^3 - 4392*T1^3*T2^3 + 1747*T1^4*T2^3 + 
      1747*T1^5*T2^3 - 4392*T1^6*T2^3 + 2046*T1^7*T2^3 + 354*T1^8*T2^3 - 
      384*T1^9*T2^3 + 314*T2^4 + 354*T1*T2^4 - 2805*T1^2*T2^4 + 
      1747*T1^3*T2^4 + 5285*T1^4*T2^4 - 7357*T1^5*T2^4 + 5285*T1^6*T2^4 + 
      1747*T1^7*T2^4 - 2805*T1^8*T2^4 + 354*T1^9*T2^4 + 314*T1^10*T2^4 - 
      147*T2^5 - 834*T1*T2^5 + 2046*T1^2*T2^5 + 1747*T1^3*T2^5 - 
      7357*T1^4*T2^5 + 2792*T1^5*T2^5 + 2792*T1^6*T2^5 - 7357*T1^7*T2^5 + 
      1747*T1^8*T2^5 + 2046*T1^9*T2^5 - 834*T1^10*T2^5 - 147*T1^11*T2^5 + 
      30*T2^6 + 578*T1*T2^6 + 101*T1^2*T2^6 - 4392*T1^3*T2^6 + 
      5285*T1^4*T2^6 + 2792*T1^5*T2^6 - 4848*T1^6*T2^6 + 2792*T1^7*T2^6 + 
      5285*T1^8*T2^6 - 4392*T1^9*T2^6 + 101*T1^10*T2^6 + 578*T1^11*T2^6 + 
      30*T1^12*T2^6 - 147*T1*T2^7 - 834*T1^2*T2^7 + 2046*T1^3*T2^7 + 
      1747*T1^4*T2^7 - 7357*T1^5*T2^7 + 2792*T1^6*T2^7 + 2792*T1^7*T2^7 - 
      7357*T1^8*T2^7 + 1747*T1^9*T2^7 + 2046*T1^10*T2^7 - 834*T1^11*T2^7 - 
      147*T1^12*T2^7 + 314*T1^2*T2^8 + 354*T1^3*T2^8 - 2805*T1^4*T2^8 + 
      1747*T1^5*T2^8 + 5285*T1^6*T2^8 - 7357*T1^7*T2^8 + 5285*T1^8*T2^8 + 
      1747*T1^9*T2^8 - 2805*T1^10*T2^8 + 354*T1^11*T2^8 + 314*T1^12*T2^8 - 
      384*T1^3*T2^9 + 354*T1^4*T2^9 + 2046*T1^5*T2^9 - 4392*T1^6*T2^9 + 
      1747*T1^7*T2^9 + 1747*T1^8*T2^9 - 4392*T1^9*T2^9 + 2046*T1^10*T2^9 + 
      354*T1^11*T2^9 - 384*T1^12*T2^9 + 314*T1^4*T2^10 - 834*T1^5*T2^10 + 
      101*T1^6*T2^10 + 2046*T1^7*T2^10 - 2805*T1^8*T2^10 + 2046*T1^9*T2^10 + 
      101*T1^10*T2^10 - 834*T1^11*T2^10 + 314*T1^12*T2^10 - 147*T1^5*T2^11 + 
      578*T1^6*T2^11 - 834*T1^7*T2^11 + 354*T1^8*T2^11 + 354*T1^9*T2^11 - 
      834*T1^10*T2^11 + 578*T1^11*T2^11 - 147*T1^12*T2^11 + 30*T1^6*T2^12 - 
      147*T1^7*T2^12 + 314*T1^8*T2^12 - 384*T1^9*T2^12 + 314*T1^10*T2^12 - 
      147*T1^11*T2^12 + 30*T1^12*T2^12)/(T1^6*T2^6))}, 
 Knot[12, NonAlternating, 861] -> 
  {(2 - 9*T + 22*T^2 - 29*T^3 + 22*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (9 - 39*T1 + 95*T1^2 - 125*T1^3 + 95*T1^4 - 39*T1^5 + 9*T1^6 - 39*T2 + 
     128*T1*T2 - 239*T1^2*T2 + 127*T1^3*T2 + 127*T1^4*T2 - 239*T1^5*T2 + 
     128*T1^6*T2 - 39*T1^7*T2 + 95*T2^2 - 239*T1*T2^2 + 423*T1^2*T2^2 - 
     89*T1^3*T2^2 - 141*T1^4*T2^2 - 89*T1^5*T2^2 + 423*T1^6*T2^2 - 
     239*T1^7*T2^2 + 95*T1^8*T2^2 - 125*T2^3 + 127*T1*T2^3 - 89*T1^2*T2^3 - 
     792*T1^3*T2^3 + 488*T1^4*T2^3 + 488*T1^5*T2^3 - 792*T1^6*T2^3 - 
     89*T1^7*T2^3 + 127*T1^8*T2^3 - 125*T1^9*T2^3 + 95*T2^4 + 127*T1*T2^4 - 
     141*T1^2*T2^4 + 488*T1^3*T2^4 + 2016*T1^4*T2^4 - 3424*T1^5*T2^4 + 
     2016*T1^6*T2^4 + 488*T1^7*T2^4 - 141*T1^8*T2^4 + 127*T1^9*T2^4 + 
     95*T1^10*T2^4 - 39*T2^5 - 239*T1*T2^5 - 89*T1^2*T2^5 + 488*T1^3*T2^5 - 
     3424*T1^4*T2^5 + 1912*T1^5*T2^5 + 1912*T1^6*T2^5 - 3424*T1^7*T2^5 + 
     488*T1^8*T2^5 - 89*T1^9*T2^5 - 239*T1^10*T2^5 - 39*T1^11*T2^5 + 9*T2^6 + 
     128*T1*T2^6 + 423*T1^2*T2^6 - 792*T1^3*T2^6 + 2016*T1^4*T2^6 + 
     1912*T1^5*T2^6 - 4152*T1^6*T2^6 + 1912*T1^7*T2^6 + 2016*T1^8*T2^6 - 
     792*T1^9*T2^6 + 423*T1^10*T2^6 + 128*T1^11*T2^6 + 9*T1^12*T2^6 - 
     39*T1*T2^7 - 239*T1^2*T2^7 - 89*T1^3*T2^7 + 488*T1^4*T2^7 - 
     3424*T1^5*T2^7 + 1912*T1^6*T2^7 + 1912*T1^7*T2^7 - 3424*T1^8*T2^7 + 
     488*T1^9*T2^7 - 89*T1^10*T2^7 - 239*T1^11*T2^7 - 39*T1^12*T2^7 + 
     95*T1^2*T2^8 + 127*T1^3*T2^8 - 141*T1^4*T2^8 + 488*T1^5*T2^8 + 
     2016*T1^6*T2^8 - 3424*T1^7*T2^8 + 2016*T1^8*T2^8 + 488*T1^9*T2^8 - 
     141*T1^10*T2^8 + 127*T1^11*T2^8 + 95*T1^12*T2^8 - 125*T1^3*T2^9 + 
     127*T1^4*T2^9 - 89*T1^5*T2^9 - 792*T1^6*T2^9 + 488*T1^7*T2^9 + 
     488*T1^8*T2^9 - 792*T1^9*T2^9 - 89*T1^10*T2^9 + 127*T1^11*T2^9 - 
     125*T1^12*T2^9 + 95*T1^4*T2^10 - 239*T1^5*T2^10 + 423*T1^6*T2^10 - 
     89*T1^7*T2^10 - 141*T1^8*T2^10 - 89*T1^9*T2^10 + 423*T1^10*T2^10 - 
     239*T1^11*T2^10 + 95*T1^12*T2^10 - 39*T1^5*T2^11 + 128*T1^6*T2^11 - 
     239*T1^7*T2^11 + 127*T1^8*T2^11 + 127*T1^9*T2^11 - 239*T1^10*T2^11 + 
     128*T1^11*T2^11 - 39*T1^12*T2^11 + 9*T1^6*T2^12 - 39*T1^7*T2^12 + 
     95*T1^8*T2^12 - 125*T1^9*T2^12 + 95*T1^10*T2^12 - 39*T1^11*T2^12 + 
     9*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 862] -> 
  {(3 - 13*T + 29*T^2 - 37*T^3 + 29*T^4 - 13*T^5 + 3*T^6)/T^3, 
   (30 - 131*T1 + 295*T1^2 - 376*T1^3 + 295*T1^4 - 131*T1^5 + 30*T1^6 - 
     131*T2 + 436*T1*T2 - 705*T1^2*T2 + 348*T1^3*T2 + 348*T1^4*T2 - 
     705*T1^5*T2 + 436*T1^6*T2 - 131*T1^7*T2 + 295*T2^2 - 705*T1*T2^2 + 
     824*T1^2*T2^2 + 216*T1^3*T2^2 - 776*T1^4*T2^2 + 216*T1^5*T2^2 + 
     824*T1^6*T2^2 - 705*T1^7*T2^2 + 295*T1^8*T2^2 - 376*T2^3 + 348*T1*T2^3 + 
     216*T1^2*T2^3 - 1862*T1^3*T2^3 + 943*T1^4*T2^3 + 943*T1^5*T2^3 - 
     1862*T1^6*T2^3 + 216*T1^7*T2^3 + 348*T1^8*T2^3 - 376*T1^9*T2^3 + 
     295*T2^4 + 348*T1*T2^4 - 776*T1^2*T2^4 + 943*T1^3*T2^4 + 
     3231*T1^4*T2^4 - 4987*T1^5*T2^4 + 3231*T1^6*T2^4 + 943*T1^7*T2^4 - 
     776*T1^8*T2^4 + 348*T1^9*T2^4 + 295*T1^10*T2^4 - 131*T2^5 - 
     705*T1*T2^5 + 216*T1^2*T2^5 + 943*T1^3*T2^5 - 4987*T1^4*T2^5 + 
     2272*T1^5*T2^5 + 2272*T1^6*T2^5 - 4987*T1^7*T2^5 + 943*T1^8*T2^5 + 
     216*T1^9*T2^5 - 705*T1^10*T2^5 - 131*T1^11*T2^5 + 30*T2^6 + 
     436*T1*T2^6 + 824*T1^2*T2^6 - 1862*T1^3*T2^6 + 3231*T1^4*T2^6 + 
     2272*T1^5*T2^6 - 4344*T1^6*T2^6 + 2272*T1^7*T2^6 + 3231*T1^8*T2^6 - 
     1862*T1^9*T2^6 + 824*T1^10*T2^6 + 436*T1^11*T2^6 + 30*T1^12*T2^6 - 
     131*T1*T2^7 - 705*T1^2*T2^7 + 216*T1^3*T2^7 + 943*T1^4*T2^7 - 
     4987*T1^5*T2^7 + 2272*T1^6*T2^7 + 2272*T1^7*T2^7 - 4987*T1^8*T2^7 + 
     943*T1^9*T2^7 + 216*T1^10*T2^7 - 705*T1^11*T2^7 - 131*T1^12*T2^7 + 
     295*T1^2*T2^8 + 348*T1^3*T2^8 - 776*T1^4*T2^8 + 943*T1^5*T2^8 + 
     3231*T1^6*T2^8 - 4987*T1^7*T2^8 + 3231*T1^8*T2^8 + 943*T1^9*T2^8 - 
     776*T1^10*T2^8 + 348*T1^11*T2^8 + 295*T1^12*T2^8 - 376*T1^3*T2^9 + 
     348*T1^4*T2^9 + 216*T1^5*T2^9 - 1862*T1^6*T2^9 + 943*T1^7*T2^9 + 
     943*T1^8*T2^9 - 1862*T1^9*T2^9 + 216*T1^10*T2^9 + 348*T1^11*T2^9 - 
     376*T1^12*T2^9 + 295*T1^4*T2^10 - 705*T1^5*T2^10 + 824*T1^6*T2^10 + 
     216*T1^7*T2^10 - 776*T1^8*T2^10 + 216*T1^9*T2^10 + 824*T1^10*T2^10 - 
     705*T1^11*T2^10 + 295*T1^12*T2^10 - 131*T1^5*T2^11 + 436*T1^6*T2^11 - 
     705*T1^7*T2^11 + 348*T1^8*T2^11 + 348*T1^9*T2^11 - 705*T1^10*T2^11 + 
     436*T1^11*T2^11 - 131*T1^12*T2^11 + 30*T1^6*T2^12 - 131*T1^7*T2^12 + 
     295*T1^8*T2^12 - 376*T1^9*T2^12 + 295*T1^10*T2^12 - 131*T1^11*T2^12 + 
     30*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 863] -> 
  {-(((1 - 3*T + T^2)*(3 - 7*T + 9*T^2 - 7*T^3 + 3*T^4))/T^3), 
   -((57 - 302*T1 + 618*T1^2 - 767*T1^3 + 618*T1^4 - 302*T1^5 + 57*T1^6 - 
      302*T2 + 1300*T1*T2 - 1660*T1^2*T2 + 778*T1^3*T2 + 778*T1^4*T2 - 
      1660*T1^5*T2 + 1300*T1^6*T2 - 302*T1^7*T2 + 618*T2^2 - 1660*T1*T2^2 - 
      1289*T1^2*T2^2 + 5959*T1^3*T2^2 - 8337*T1^4*T2^2 + 5959*T1^5*T2^2 - 
      1289*T1^6*T2^2 - 1660*T1^7*T2^2 + 618*T1^8*T2^2 - 767*T2^3 + 
      778*T1*T2^3 + 5959*T1^2*T2^3 - 8926*T1^3*T2^3 + 4457*T1^4*T2^3 + 
      4457*T1^5*T2^3 - 8926*T1^6*T2^3 + 5959*T1^7*T2^3 + 778*T1^8*T2^3 - 
      767*T1^9*T2^3 + 618*T2^4 + 778*T1*T2^4 - 8337*T1^2*T2^4 + 
      4457*T1^3*T2^4 + 4619*T1^4*T2^4 - 10057*T1^5*T2^4 + 4619*T1^6*T2^4 + 
      4457*T1^7*T2^4 - 8337*T1^8*T2^4 + 778*T1^9*T2^4 + 618*T1^10*T2^4 - 
      302*T2^5 - 1660*T1*T2^5 + 5959*T1^2*T2^5 + 4457*T1^3*T2^5 - 
      10057*T1^4*T2^5 + 5786*T1^5*T2^5 + 5786*T1^6*T2^5 - 10057*T1^7*T2^5 + 
      4457*T1^8*T2^5 + 5959*T1^9*T2^5 - 1660*T1^10*T2^5 - 302*T1^11*T2^5 + 
      57*T2^6 + 1300*T1*T2^6 - 1289*T1^2*T2^6 - 8926*T1^3*T2^6 + 
      4619*T1^4*T2^6 + 5786*T1^5*T2^6 - 12516*T1^6*T2^6 + 5786*T1^7*T2^6 + 
      4619*T1^8*T2^6 - 8926*T1^9*T2^6 - 1289*T1^10*T2^6 + 1300*T1^11*T2^6 + 
      57*T1^12*T2^6 - 302*T1*T2^7 - 1660*T1^2*T2^7 + 5959*T1^3*T2^7 + 
      4457*T1^4*T2^7 - 10057*T1^5*T2^7 + 5786*T1^6*T2^7 + 5786*T1^7*T2^7 - 
      10057*T1^8*T2^7 + 4457*T1^9*T2^7 + 5959*T1^10*T2^7 - 1660*T1^11*T2^7 - 
      302*T1^12*T2^7 + 618*T1^2*T2^8 + 778*T1^3*T2^8 - 8337*T1^4*T2^8 + 
      4457*T1^5*T2^8 + 4619*T1^6*T2^8 - 10057*T1^7*T2^8 + 4619*T1^8*T2^8 + 
      4457*T1^9*T2^8 - 8337*T1^10*T2^8 + 778*T1^11*T2^8 + 618*T1^12*T2^8 - 
      767*T1^3*T2^9 + 778*T1^4*T2^9 + 5959*T1^5*T2^9 - 8926*T1^6*T2^9 + 
      4457*T1^7*T2^9 + 4457*T1^8*T2^9 - 8926*T1^9*T2^9 + 5959*T1^10*T2^9 + 
      778*T1^11*T2^9 - 767*T1^12*T2^9 + 618*T1^4*T2^10 - 1660*T1^5*T2^10 - 
      1289*T1^6*T2^10 + 5959*T1^7*T2^10 - 8337*T1^8*T2^10 + 5959*T1^9*T2^10 - 
      1289*T1^10*T2^10 - 1660*T1^11*T2^10 + 618*T1^12*T2^10 - 
      302*T1^5*T2^11 + 1300*T1^6*T2^11 - 1660*T1^7*T2^11 + 778*T1^8*T2^11 + 
      778*T1^9*T2^11 - 1660*T1^10*T2^11 + 1300*T1^11*T2^11 - 
      302*T1^12*T2^11 + 57*T1^6*T2^12 - 302*T1^7*T2^12 + 618*T1^8*T2^12 - 
      767*T1^9*T2^12 + 618*T1^10*T2^12 - 302*T1^11*T2^12 + 57*T1^12*T2^12)/
     (T1^6*T2^6))}, 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), -((1 - 5*T1 + 15*T1^2 - 28*T1^3 + 33*T1^4 - 28*T1^5 + 15*T1^6 - 
      5*T1^7 + T1^8 - 5*T2 + 20*T1*T2 - 50*T1^2*T2 + 65*T1^3*T2 - 
      25*T1^4*T2 - 25*T1^5*T2 + 65*T1^6*T2 - 50*T1^7*T2 + 20*T1^8*T2 - 
      5*T1^9*T2 + 15*T2^2 - 50*T1*T2^2 + 112*T1^2*T2^2 - 105*T1^3*T2^2 - 
      22*T1^4*T2^2 + 46*T1^5*T2^2 - 22*T1^6*T2^2 - 105*T1^7*T2^2 + 
      112*T1^8*T2^2 - 50*T1^9*T2^2 + 15*T1^10*T2^2 - 28*T2^3 + 65*T1*T2^3 - 
      105*T1^2*T2^3 - 46*T1^3*T2^3 + 293*T1^4*T2^3 - 82*T1^5*T2^3 - 
      82*T1^6*T2^3 + 293*T1^7*T2^3 - 46*T1^8*T2^3 - 105*T1^9*T2^3 + 
      65*T1^10*T2^3 - 28*T1^11*T2^3 + 33*T2^4 - 25*T1*T2^4 - 22*T1^2*T2^4 + 
      293*T1^3*T2^4 - 255*T1^4*T2^4 - 657*T1^5*T2^4 + 765*T1^6*T2^4 - 
      657*T1^7*T2^4 - 255*T1^8*T2^4 + 293*T1^9*T2^4 - 22*T1^10*T2^4 - 
      25*T1^11*T2^4 + 33*T1^12*T2^4 - 28*T2^5 - 25*T1*T2^5 + 46*T1^2*T2^5 - 
      82*T1^3*T2^5 - 657*T1^4*T2^5 + 1744*T1^5*T2^5 - 505*T1^6*T2^5 - 
      505*T1^7*T2^5 + 1744*T1^8*T2^5 - 657*T1^9*T2^5 - 82*T1^10*T2^5 + 
      46*T1^11*T2^5 - 25*T1^12*T2^5 - 28*T1^13*T2^5 + 15*T2^6 + 65*T1*T2^6 - 
      22*T1^2*T2^6 - 82*T1^3*T2^6 + 765*T1^4*T2^6 - 505*T1^5*T2^6 - 
      2418*T1^6*T2^6 + 2830*T1^7*T2^6 - 2418*T1^8*T2^6 - 505*T1^9*T2^6 + 
      765*T1^10*T2^6 - 82*T1^11*T2^6 - 22*T1^12*T2^6 + 65*T1^13*T2^6 + 
      15*T1^14*T2^6 - 5*T2^7 - 50*T1*T2^7 - 105*T1^2*T2^7 + 293*T1^3*T2^7 - 
      657*T1^4*T2^7 - 505*T1^5*T2^7 + 2830*T1^6*T2^7 - 824*T1^7*T2^7 - 
      824*T1^8*T2^7 + 2830*T1^9*T2^7 - 505*T1^10*T2^7 - 657*T1^11*T2^7 + 
      293*T1^12*T2^7 - 105*T1^13*T2^7 - 50*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 
      20*T1*T2^8 + 112*T1^2*T2^8 - 46*T1^3*T2^8 - 255*T1^4*T2^8 + 
      1744*T1^5*T2^8 - 2418*T1^6*T2^8 - 824*T1^7*T2^8 + 1224*T1^8*T2^8 - 
      824*T1^9*T2^8 - 2418*T1^10*T2^8 + 1744*T1^11*T2^8 - 255*T1^12*T2^8 - 
      46*T1^13*T2^8 + 112*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 
      5*T1*T2^9 - 50*T1^2*T2^9 - 105*T1^3*T2^9 + 293*T1^4*T2^9 - 
      657*T1^5*T2^9 - 505*T1^6*T2^9 + 2830*T1^7*T2^9 - 824*T1^8*T2^9 - 
      824*T1^9*T2^9 + 2830*T1^10*T2^9 - 505*T1^11*T2^9 - 657*T1^12*T2^9 + 
      293*T1^13*T2^9 - 105*T1^14*T2^9 - 50*T1^15*T2^9 - 5*T1^16*T2^9 + 
      15*T1^2*T2^10 + 65*T1^3*T2^10 - 22*T1^4*T2^10 - 82*T1^5*T2^10 + 
      765*T1^6*T2^10 - 505*T1^7*T2^10 - 2418*T1^8*T2^10 + 2830*T1^9*T2^10 - 
      2418*T1^10*T2^10 - 505*T1^11*T2^10 + 765*T1^12*T2^10 - 82*T1^13*T2^10 - 
      22*T1^14*T2^10 + 65*T1^15*T2^10 + 15*T1^16*T2^10 - 28*T1^3*T2^11 - 
      25*T1^4*T2^11 + 46*T1^5*T2^11 - 82*T1^6*T2^11 - 657*T1^7*T2^11 + 
      1744*T1^8*T2^11 - 505*T1^9*T2^11 - 505*T1^10*T2^11 + 1744*T1^11*T2^11 - 
      657*T1^12*T2^11 - 82*T1^13*T2^11 + 46*T1^14*T2^11 - 25*T1^15*T2^11 - 
      28*T1^16*T2^11 + 33*T1^4*T2^12 - 25*T1^5*T2^12 - 22*T1^6*T2^12 + 
      293*T1^7*T2^12 - 255*T1^8*T2^12 - 657*T1^9*T2^12 + 765*T1^10*T2^12 - 
      657*T1^11*T2^12 - 255*T1^12*T2^12 + 293*T1^13*T2^12 - 22*T1^14*T2^12 - 
      25*T1^15*T2^12 + 33*T1^16*T2^12 - 28*T1^5*T2^13 + 65*T1^6*T2^13 - 
      105*T1^7*T2^13 - 46*T1^8*T2^13 + 293*T1^9*T2^13 - 82*T1^10*T2^13 - 
      82*T1^11*T2^13 + 293*T1^12*T2^13 - 46*T1^13*T2^13 - 105*T1^14*T2^13 + 
      65*T1^15*T2^13 - 28*T1^16*T2^13 + 15*T1^6*T2^14 - 50*T1^7*T2^14 + 
      112*T1^8*T2^14 - 105*T1^9*T2^14 - 22*T1^10*T2^14 + 46*T1^11*T2^14 - 
      22*T1^12*T2^14 - 105*T1^13*T2^14 + 112*T1^14*T2^14 - 50*T1^15*T2^14 + 
      15*T1^16*T2^14 - 5*T1^7*T2^15 + 20*T1^8*T2^15 - 50*T1^9*T2^15 + 
      65*T1^10*T2^15 - 25*T1^11*T2^15 - 25*T1^12*T2^15 + 65*T1^13*T2^15 - 
      50*T1^14*T2^15 + 20*T1^15*T2^15 - 5*T1^16*T2^15 + T1^8*T2^16 - 
      5*T1^9*T2^16 + 15*T1^10*T2^16 - 28*T1^11*T2^16 + 33*T1^12*T2^16 - 
      28*T1^13*T2^16 + 15*T1^14*T2^16 - 5*T1^15*T2^16 + T1^16*T2^16)/
     (T1^8*T2^8))}, 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), 
   (1 - 4*T1 + 11*T1^2 - 21*T1^3 + 25*T1^4 - 21*T1^5 + 11*T1^6 - 4*T1^7 + 
     T1^8 - 4*T2 + 12*T1*T2 - 28*T1^2*T2 + 40*T1^3*T2 - 16*T1^4*T2 - 
     16*T1^5*T2 + 40*T1^6*T2 - 28*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 
     11*T2^2 - 28*T1*T2^2 + 69*T1^2*T2^2 - 99*T1^3*T2^2 + 50*T1^4*T2^2 - 
     43*T1^5*T2^2 + 50*T1^6*T2^2 - 99*T1^7*T2^2 + 69*T1^8*T2^2 - 
     28*T1^9*T2^2 + 11*T1^10*T2^2 - 21*T2^3 + 40*T1*T2^3 - 99*T1^2*T2^3 + 
     100*T1^3*T2^3 + 43*T1^4*T2^3 - 4*T1^5*T2^3 - 4*T1^6*T2^3 + 
     43*T1^7*T2^3 + 100*T1^8*T2^3 - 99*T1^9*T2^3 + 40*T1^10*T2^3 - 
     21*T1^11*T2^3 + 25*T2^4 - 16*T1*T2^4 + 50*T1^2*T2^4 + 43*T1^3*T2^4 - 
     213*T1^4*T2^4 - 80*T1^5*T2^4 + 109*T1^6*T2^4 - 80*T1^7*T2^4 - 
     213*T1^8*T2^4 + 43*T1^9*T2^4 + 50*T1^10*T2^4 - 16*T1^11*T2^4 + 
     25*T1^12*T2^4 - 21*T2^5 - 16*T1*T2^5 - 43*T1^2*T2^5 - 4*T1^3*T2^5 - 
     80*T1^4*T2^5 + 622*T1^5*T2^5 - 214*T1^6*T2^5 - 214*T1^7*T2^5 + 
     622*T1^8*T2^5 - 80*T1^9*T2^5 - 4*T1^10*T2^5 - 43*T1^11*T2^5 - 
     16*T1^12*T2^5 - 21*T1^13*T2^5 + 11*T2^6 + 40*T1*T2^6 + 50*T1^2*T2^6 - 
     4*T1^3*T2^6 + 109*T1^4*T2^6 - 214*T1^5*T2^6 - 1031*T1^6*T2^6 + 
     1377*T1^7*T2^6 - 1031*T1^8*T2^6 - 214*T1^9*T2^6 + 109*T1^10*T2^6 - 
     4*T1^11*T2^6 + 50*T1^12*T2^6 + 40*T1^13*T2^6 + 11*T1^14*T2^6 - 4*T2^7 - 
     28*T1*T2^7 - 99*T1^2*T2^7 + 43*T1^3*T2^7 - 80*T1^4*T2^7 - 
     214*T1^5*T2^7 + 1377*T1^6*T2^7 - 576*T1^7*T2^7 - 576*T1^8*T2^7 + 
     1377*T1^9*T2^7 - 214*T1^10*T2^7 - 80*T1^11*T2^7 + 43*T1^12*T2^7 - 
     99*T1^13*T2^7 - 28*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 
     69*T1^2*T2^8 + 100*T1^3*T2^8 - 213*T1^4*T2^8 + 622*T1^5*T2^8 - 
     1031*T1^6*T2^8 - 576*T1^7*T2^8 + 1152*T1^8*T2^8 - 576*T1^9*T2^8 - 
     1031*T1^10*T2^8 + 622*T1^11*T2^8 - 213*T1^12*T2^8 + 100*T1^13*T2^8 + 
     69*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 28*T1^2*T2^9 - 
     99*T1^3*T2^9 + 43*T1^4*T2^9 - 80*T1^5*T2^9 - 214*T1^6*T2^9 + 
     1377*T1^7*T2^9 - 576*T1^8*T2^9 - 576*T1^9*T2^9 + 1377*T1^10*T2^9 - 
     214*T1^11*T2^9 - 80*T1^12*T2^9 + 43*T1^13*T2^9 - 99*T1^14*T2^9 - 
     28*T1^15*T2^9 - 4*T1^16*T2^9 + 11*T1^2*T2^10 + 40*T1^3*T2^10 + 
     50*T1^4*T2^10 - 4*T1^5*T2^10 + 109*T1^6*T2^10 - 214*T1^7*T2^10 - 
     1031*T1^8*T2^10 + 1377*T1^9*T2^10 - 1031*T1^10*T2^10 - 214*T1^11*T2^10 + 
     109*T1^12*T2^10 - 4*T1^13*T2^10 + 50*T1^14*T2^10 + 40*T1^15*T2^10 + 
     11*T1^16*T2^10 - 21*T1^3*T2^11 - 16*T1^4*T2^11 - 43*T1^5*T2^11 - 
     4*T1^6*T2^11 - 80*T1^7*T2^11 + 622*T1^8*T2^11 - 214*T1^9*T2^11 - 
     214*T1^10*T2^11 + 622*T1^11*T2^11 - 80*T1^12*T2^11 - 4*T1^13*T2^11 - 
     43*T1^14*T2^11 - 16*T1^15*T2^11 - 21*T1^16*T2^11 + 25*T1^4*T2^12 - 
     16*T1^5*T2^12 + 50*T1^6*T2^12 + 43*T1^7*T2^12 - 213*T1^8*T2^12 - 
     80*T1^9*T2^12 + 109*T1^10*T2^12 - 80*T1^11*T2^12 - 213*T1^12*T2^12 + 
     43*T1^13*T2^12 + 50*T1^14*T2^12 - 16*T1^15*T2^12 + 25*T1^16*T2^12 - 
     21*T1^5*T2^13 + 40*T1^6*T2^13 - 99*T1^7*T2^13 + 100*T1^8*T2^13 + 
     43*T1^9*T2^13 - 4*T1^10*T2^13 - 4*T1^11*T2^13 + 43*T1^12*T2^13 + 
     100*T1^13*T2^13 - 99*T1^14*T2^13 + 40*T1^15*T2^13 - 21*T1^16*T2^13 + 
     11*T1^6*T2^14 - 28*T1^7*T2^14 + 69*T1^8*T2^14 - 99*T1^9*T2^14 + 
     50*T1^10*T2^14 - 43*T1^11*T2^14 + 50*T1^12*T2^14 - 99*T1^13*T2^14 + 
     69*T1^14*T2^14 - 28*T1^15*T2^14 + 11*T1^16*T2^14 - 4*T1^7*T2^15 + 
     12*T1^8*T2^15 - 28*T1^9*T2^15 + 40*T1^10*T2^15 - 16*T1^11*T2^15 - 
     16*T1^12*T2^15 + 40*T1^13*T2^15 - 28*T1^14*T2^15 + 12*T1^15*T2^15 - 
     4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 11*T1^10*T2^16 - 
     21*T1^11*T2^16 + 25*T1^12*T2^16 - 21*T1^13*T2^16 + 11*T1^14*T2^16 - 
     4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 
   -((1 - 7*T1 + 14*T1^2 - 17*T1^3 + 14*T1^4 - 7*T1^5 + T1^6 - 7*T2 + 
      30*T1*T2 - 32*T1^2*T2 + 12*T1^3*T2 + 12*T1^4*T2 - 32*T1^5*T2 + 
      30*T1^6*T2 - 7*T1^7*T2 + 14*T2^2 - 32*T1*T2^2 - 40*T1^2*T2^2 + 
      115*T1^3*T2^2 - 138*T1^4*T2^2 + 115*T1^5*T2^2 - 40*T1^6*T2^2 - 
      32*T1^7*T2^2 + 14*T1^8*T2^2 - 17*T2^3 + 12*T1*T2^3 + 115*T1^2*T2^3 - 
      132*T1^3*T2^3 + 60*T1^4*T2^3 + 60*T1^5*T2^3 - 132*T1^6*T2^3 + 
      115*T1^7*T2^3 + 12*T1^8*T2^3 - 17*T1^9*T2^3 + 14*T2^4 + 12*T1*T2^4 - 
      138*T1^2*T2^4 + 60*T1^3*T2^4 + 61*T1^4*T2^4 - 195*T1^5*T2^4 + 
      61*T1^6*T2^4 + 60*T1^7*T2^4 - 138*T1^8*T2^4 + 12*T1^9*T2^4 + 
      14*T1^10*T2^4 - 7*T2^5 - 32*T1*T2^5 + 115*T1^2*T2^5 + 60*T1^3*T2^5 - 
      195*T1^4*T2^5 + 206*T1^5*T2^5 + 206*T1^6*T2^5 - 195*T1^7*T2^5 + 
      60*T1^8*T2^5 + 115*T1^9*T2^5 - 32*T1^10*T2^5 - 7*T1^11*T2^5 + T2^6 + 
      30*T1*T2^6 - 40*T1^2*T2^6 - 132*T1^3*T2^6 + 61*T1^4*T2^6 + 
      206*T1^5*T2^6 - 600*T1^6*T2^6 + 206*T1^7*T2^6 + 61*T1^8*T2^6 - 
      132*T1^9*T2^6 - 40*T1^10*T2^6 + 30*T1^11*T2^6 + T1^12*T2^6 - 
      7*T1*T2^7 - 32*T1^2*T2^7 + 115*T1^3*T2^7 + 60*T1^4*T2^7 - 
      195*T1^5*T2^7 + 206*T1^6*T2^7 + 206*T1^7*T2^7 - 195*T1^8*T2^7 + 
      60*T1^9*T2^7 + 115*T1^10*T2^7 - 32*T1^11*T2^7 - 7*T1^12*T2^7 + 
      14*T1^2*T2^8 + 12*T1^3*T2^8 - 138*T1^4*T2^8 + 60*T1^5*T2^8 + 
      61*T1^6*T2^8 - 195*T1^7*T2^8 + 61*T1^8*T2^8 + 60*T1^9*T2^8 - 
      138*T1^10*T2^8 + 12*T1^11*T2^8 + 14*T1^12*T2^8 - 17*T1^3*T2^9 + 
      12*T1^4*T2^9 + 115*T1^5*T2^9 - 132*T1^6*T2^9 + 60*T1^7*T2^9 + 
      60*T1^8*T2^9 - 132*T1^9*T2^9 + 115*T1^10*T2^9 + 12*T1^11*T2^9 - 
      17*T1^12*T2^9 + 14*T1^4*T2^10 - 32*T1^5*T2^10 - 40*T1^6*T2^10 + 
      115*T1^7*T2^10 - 138*T1^8*T2^10 + 115*T1^9*T2^10 - 40*T1^10*T2^10 - 
      32*T1^11*T2^10 + 14*T1^12*T2^10 - 7*T1^5*T2^11 + 30*T1^6*T2^11 - 
      32*T1^7*T2^11 + 12*T1^8*T2^11 + 12*T1^9*T2^11 - 32*T1^10*T2^11 + 
      30*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      14*T1^8*T2^12 - 17*T1^9*T2^12 + 14*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 867] -> 
  {-((2 - 14*T + 31*T^2 - 39*T^3 + 31*T^4 - 14*T^5 + 2*T^6)/T^3), 
   (17 - 118*T1 + 259*T1^2 - 325*T1^3 + 259*T1^4 - 118*T1^5 + 17*T1^6 - 
     118*T2 + 708*T1*T2 - 960*T1^2*T2 + 438*T1^3*T2 + 438*T1^4*T2 - 
     960*T1^5*T2 + 708*T1^6*T2 - 118*T1^7*T2 + 259*T2^2 - 960*T1*T2^2 - 
     1731*T1^2*T2^2 + 6086*T1^3*T2^2 - 8083*T1^4*T2^2 + 6086*T1^5*T2^2 - 
     1731*T1^6*T2^2 - 960*T1^7*T2^2 + 259*T1^8*T2^2 - 325*T2^3 + 
     438*T1*T2^3 + 6086*T1^2*T2^3 - 9282*T1^3*T2^3 + 4295*T1^4*T2^3 + 
     4295*T1^5*T2^3 - 9282*T1^6*T2^3 + 6086*T1^7*T2^3 + 438*T1^8*T2^3 - 
     325*T1^9*T2^3 + 259*T2^4 + 438*T1*T2^4 - 8083*T1^2*T2^4 + 
     4295*T1^3*T2^4 + 5925*T1^4*T2^4 - 10687*T1^5*T2^4 + 5925*T1^6*T2^4 + 
     4295*T1^7*T2^4 - 8083*T1^8*T2^4 + 438*T1^9*T2^4 + 259*T1^10*T2^4 - 
     118*T2^5 - 960*T1*T2^5 + 6086*T1^2*T2^5 + 4295*T1^3*T2^5 - 
     10687*T1^4*T2^5 + 5158*T1^5*T2^5 + 5158*T1^6*T2^5 - 10687*T1^7*T2^5 + 
     4295*T1^8*T2^5 + 6086*T1^9*T2^5 - 960*T1^10*T2^5 - 118*T1^11*T2^5 + 
     17*T2^6 + 708*T1*T2^6 - 1731*T1^2*T2^6 - 9282*T1^3*T2^6 + 
     5925*T1^4*T2^6 + 5158*T1^5*T2^6 - 10200*T1^6*T2^6 + 5158*T1^7*T2^6 + 
     5925*T1^8*T2^6 - 9282*T1^9*T2^6 - 1731*T1^10*T2^6 + 708*T1^11*T2^6 + 
     17*T1^12*T2^6 - 118*T1*T2^7 - 960*T1^2*T2^7 + 6086*T1^3*T2^7 + 
     4295*T1^4*T2^7 - 10687*T1^5*T2^7 + 5158*T1^6*T2^7 + 5158*T1^7*T2^7 - 
     10687*T1^8*T2^7 + 4295*T1^9*T2^7 + 6086*T1^10*T2^7 - 960*T1^11*T2^7 - 
     118*T1^12*T2^7 + 259*T1^2*T2^8 + 438*T1^3*T2^8 - 8083*T1^4*T2^8 + 
     4295*T1^5*T2^8 + 5925*T1^6*T2^8 - 10687*T1^7*T2^8 + 5925*T1^8*T2^8 + 
     4295*T1^9*T2^8 - 8083*T1^10*T2^8 + 438*T1^11*T2^8 + 259*T1^12*T2^8 - 
     325*T1^3*T2^9 + 438*T1^4*T2^9 + 6086*T1^5*T2^9 - 9282*T1^6*T2^9 + 
     4295*T1^7*T2^9 + 4295*T1^8*T2^9 - 9282*T1^9*T2^9 + 6086*T1^10*T2^9 + 
     438*T1^11*T2^9 - 325*T1^12*T2^9 + 259*T1^4*T2^10 - 960*T1^5*T2^10 - 
     1731*T1^6*T2^10 + 6086*T1^7*T2^10 - 8083*T1^8*T2^10 + 6086*T1^9*T2^10 - 
     1731*T1^10*T2^10 - 960*T1^11*T2^10 + 259*T1^12*T2^10 - 118*T1^5*T2^11 + 
     708*T1^6*T2^11 - 960*T1^7*T2^11 + 438*T1^8*T2^11 + 438*T1^9*T2^11 - 
     960*T1^10*T2^11 + 708*T1^11*T2^11 - 118*T1^12*T2^11 + 17*T1^6*T2^12 - 
     118*T1^7*T2^12 + 259*T1^8*T2^12 - 325*T1^9*T2^12 + 259*T1^10*T2^12 - 
     118*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^6*T2^6)}, 
 Knot[12, NonAlternating, 868] -> {(2 - 8*T + 13*T^2 - 8*T^3 + 2*T^4)/T^2, 
   (3 - 9*T1 + 15*T1^2 - 9*T1^3 + 3*T1^4 - 9*T2 + 14*T1*T2 - 18*T1^2*T2 - 
     18*T1^3*T2 + 14*T1^4*T2 - 9*T1^5*T2 + 15*T2^2 - 18*T1*T2^2 + 
     80*T1^2*T2^2 - 60*T1^3*T2^2 + 80*T1^4*T2^2 - 18*T1^5*T2^2 + 
     15*T1^6*T2^2 - 9*T2^3 - 18*T1*T2^3 - 60*T1^2*T2^3 - 10*T1^3*T2^3 - 
     10*T1^4*T2^3 - 60*T1^5*T2^3 - 18*T1^6*T2^3 - 9*T1^7*T2^3 + 3*T2^4 + 
     14*T1*T2^4 + 80*T1^2*T2^4 - 10*T1^3*T2^4 + 72*T1^4*T2^4 - 10*T1^5*T2^4 + 
     80*T1^6*T2^4 + 14*T1^7*T2^4 + 3*T1^8*T2^4 - 9*T1*T2^5 - 18*T1^2*T2^5 - 
     60*T1^3*T2^5 - 10*T1^4*T2^5 - 10*T1^5*T2^5 - 60*T1^6*T2^5 - 
     18*T1^7*T2^5 - 9*T1^8*T2^5 + 15*T1^2*T2^6 - 18*T1^3*T2^6 + 
     80*T1^4*T2^6 - 60*T1^5*T2^6 + 80*T1^6*T2^6 - 18*T1^7*T2^6 + 
     15*T1^8*T2^6 - 9*T1^3*T2^7 + 14*T1^4*T2^7 - 18*T1^5*T2^7 - 
     18*T1^6*T2^7 + 14*T1^7*T2^7 - 9*T1^8*T2^7 + 3*T1^4*T2^8 - 9*T1^5*T2^8 + 
     15*T1^6*T2^8 - 9*T1^7*T2^8 + 3*T1^8*T2^8)/(T1^4*T2^4)}, 
 Knot[12, NonAlternating, 869] -> 
  {(2 - 12*T + 32*T^2 - 43*T^3 + 32*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (9 - 53*T1 + 140*T1^2 - 187*T1^3 + 140*T1^4 - 53*T1^5 + 9*T1^6 - 53*T2 + 
     258*T1*T2 - 511*T1^2*T2 + 275*T1^3*T2 + 275*T1^4*T2 - 511*T1^5*T2 + 
     258*T1^6*T2 - 53*T1^7*T2 + 140*T2^2 - 511*T1*T2^2 + 502*T1^2*T2^2 + 
     1055*T1^3*T2^2 - 2020*T1^4*T2^2 + 1055*T1^5*T2^2 + 502*T1^6*T2^2 - 
     511*T1^7*T2^2 + 140*T1^8*T2^2 - 187*T2^3 + 275*T1*T2^3 + 
     1055*T1^2*T2^3 - 4114*T1^3*T2^3 + 2371*T1^4*T2^3 + 2371*T1^5*T2^3 - 
     4114*T1^6*T2^3 + 1055*T1^7*T2^3 + 275*T1^8*T2^3 - 187*T1^9*T2^3 + 
     140*T2^4 + 275*T1*T2^4 - 2020*T1^2*T2^4 + 2371*T1^3*T2^4 + 
     6628*T1^4*T2^4 - 12050*T1^5*T2^4 + 6628*T1^6*T2^4 + 2371*T1^7*T2^4 - 
     2020*T1^8*T2^4 + 275*T1^9*T2^4 + 140*T1^10*T2^4 - 53*T2^5 - 
     511*T1*T2^5 + 1055*T1^2*T2^5 + 2371*T1^3*T2^5 - 12050*T1^4*T2^5 + 
     6984*T1^5*T2^5 + 6984*T1^6*T2^5 - 12050*T1^7*T2^5 + 2371*T1^8*T2^5 + 
     1055*T1^9*T2^5 - 511*T1^10*T2^5 - 53*T1^11*T2^5 + 9*T2^6 + 258*T1*T2^6 + 
     502*T1^2*T2^6 - 4114*T1^3*T2^6 + 6628*T1^4*T2^6 + 6984*T1^5*T2^6 - 
     15384*T1^6*T2^6 + 6984*T1^7*T2^6 + 6628*T1^8*T2^6 - 4114*T1^9*T2^6 + 
     502*T1^10*T2^6 + 258*T1^11*T2^6 + 9*T1^12*T2^6 - 53*T1*T2^7 - 
     511*T1^2*T2^7 + 1055*T1^3*T2^7 + 2371*T1^4*T2^7 - 12050*T1^5*T2^7 + 
     6984*T1^6*T2^7 + 6984*T1^7*T2^7 - 12050*T1^8*T2^7 + 2371*T1^9*T2^7 + 
     1055*T1^10*T2^7 - 511*T1^11*T2^7 - 53*T1^12*T2^7 + 140*T1^2*T2^8 + 
     275*T1^3*T2^8 - 2020*T1^4*T2^8 + 2371*T1^5*T2^8 + 6628*T1^6*T2^8 - 
     12050*T1^7*T2^8 + 6628*T1^8*T2^8 + 2371*T1^9*T2^8 - 2020*T1^10*T2^8 + 
     275*T1^11*T2^8 + 140*T1^12*T2^8 - 187*T1^3*T2^9 + 275*T1^4*T2^9 + 
     1055*T1^5*T2^9 - 4114*T1^6*T2^9 + 2371*T1^7*T2^9 + 2371*T1^8*T2^9 - 
     4114*T1^9*T2^9 + 1055*T1^10*T2^9 + 275*T1^11*T2^9 - 187*T1^12*T2^9 + 
     140*T1^4*T2^10 - 511*T1^5*T2^10 + 502*T1^6*T2^10 + 1055*T1^7*T2^10 - 
     2020*T1^8*T2^10 + 1055*T1^9*T2^10 + 502*T1^10*T2^10 - 511*T1^11*T2^10 + 
     140*T1^12*T2^10 - 53*T1^5*T2^11 + 258*T1^6*T2^11 - 511*T1^7*T2^11 + 
     275*T1^8*T2^11 + 275*T1^9*T2^11 - 511*T1^10*T2^11 + 258*T1^11*T2^11 - 
     53*T1^12*T2^11 + 9*T1^6*T2^12 - 53*T1^7*T2^12 + 140*T1^8*T2^12 - 
     187*T1^9*T2^12 + 140*T1^10*T2^12 - 53*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, Knot[12, NonAlternating, 870] -> 
  {-(((-1 + T - 2*T^2 + T^3)*(-1 + 2*T - T^2 + T^3))/T^3), 
   -((2 - 3*T1 - 3*T1^4 + 2*T1^5 - 3*T2 + 4*T1*T2 - 11*T1^2*T2 + 24*T1^3*T2 - 
      11*T1^4*T2 + 4*T1^5*T2 - 3*T1^6*T2 - 11*T1*T2^2 + 44*T1^2*T2^2 - 
      23*T1^3*T2^2 - 23*T1^4*T2^2 + 44*T1^5*T2^2 - 11*T1^6*T2^2 + 
      24*T1*T2^3 - 23*T1^2*T2^3 - 110*T1^3*T2^3 + 124*T1^4*T2^3 - 
      110*T1^5*T2^3 - 23*T1^6*T2^3 + 24*T1^7*T2^3 - 3*T2^4 - 11*T1*T2^4 - 
      23*T1^2*T2^4 + 124*T1^3*T2^4 + 4*T1^4*T2^4 + 4*T1^5*T2^4 + 
      124*T1^6*T2^4 - 23*T1^7*T2^4 - 11*T1^8*T2^4 - 3*T1^9*T2^4 + 2*T2^5 + 
      4*T1*T2^5 + 44*T1^2*T2^5 - 110*T1^3*T2^5 + 4*T1^4*T2^5 - 
      108*T1^5*T2^5 + 4*T1^6*T2^5 - 110*T1^7*T2^5 + 44*T1^8*T2^5 + 
      4*T1^9*T2^5 + 2*T1^10*T2^5 - 3*T1*T2^6 - 11*T1^2*T2^6 - 23*T1^3*T2^6 + 
      124*T1^4*T2^6 + 4*T1^5*T2^6 + 4*T1^6*T2^6 + 124*T1^7*T2^6 - 
      23*T1^8*T2^6 - 11*T1^9*T2^6 - 3*T1^10*T2^6 + 24*T1^3*T2^7 - 
      23*T1^4*T2^7 - 110*T1^5*T2^7 + 124*T1^6*T2^7 - 110*T1^7*T2^7 - 
      23*T1^8*T2^7 + 24*T1^9*T2^7 - 11*T1^4*T2^8 + 44*T1^5*T2^8 - 
      23*T1^6*T2^8 - 23*T1^7*T2^8 + 44*T1^8*T2^8 - 11*T1^9*T2^8 - 
      3*T1^4*T2^9 + 4*T1^5*T2^9 - 11*T1^6*T2^9 + 24*T1^7*T2^9 - 
      11*T1^8*T2^9 + 4*T1^9*T2^9 - 3*T1^10*T2^9 + 2*T1^5*T2^10 - 
      3*T1^6*T2^10 - 3*T1^9*T2^10 + 2*T1^10*T2^10)/(T1^5*T2^5))}, 
 Knot[12, NonAlternating, 871] -> 
  {(1 - 9*T + 29*T^2 - 41*T^3 + 29*T^4 - 9*T^5 + T^6)/T^3, 
   (1 - 9*T1 + 29*T1^2 - 41*T1^3 + 29*T1^4 - 9*T1^5 + T1^6 - 9*T2 + 
     76*T1*T2 - 194*T1^2*T2 + 115*T1^3*T2 + 115*T1^4*T2 - 194*T1^5*T2 + 
     76*T1^6*T2 - 9*T1^7*T2 + 29*T2^2 - 194*T1*T2^2 + 128*T1^2*T2^2 + 
     1158*T1^3*T2^2 - 2032*T1^4*T2^2 + 1158*T1^5*T2^2 + 128*T1^6*T2^2 - 
     194*T1^7*T2^2 + 29*T1^8*T2^2 - 41*T2^3 + 115*T1*T2^3 + 1158*T1^2*T2^3 - 
     4614*T1^3*T2^3 + 2900*T1^4*T2^3 + 2900*T1^5*T2^3 - 4614*T1^6*T2^3 + 
     1158*T1^7*T2^3 + 115*T1^8*T2^3 - 41*T1^9*T2^3 + 29*T2^4 + 115*T1*T2^4 - 
     2032*T1^2*T2^4 + 2900*T1^3*T2^4 + 9311*T1^4*T2^4 - 17993*T1^5*T2^4 + 
     9311*T1^6*T2^4 + 2900*T1^7*T2^4 - 2032*T1^8*T2^4 + 115*T1^9*T2^4 + 
     29*T1^10*T2^4 - 9*T2^5 - 194*T1*T2^5 + 1158*T1^2*T2^5 + 2900*T1^3*T2^5 - 
     17993*T1^4*T2^5 + 11776*T1^5*T2^5 + 11776*T1^6*T2^5 - 17993*T1^7*T2^5 + 
     2900*T1^8*T2^5 + 1158*T1^9*T2^5 - 194*T1^10*T2^5 - 9*T1^11*T2^5 + T2^6 + 
     76*T1*T2^6 + 128*T1^2*T2^6 - 4614*T1^3*T2^6 + 9311*T1^4*T2^6 + 
     11776*T1^5*T2^6 - 27660*T1^6*T2^6 + 11776*T1^7*T2^6 + 9311*T1^8*T2^6 - 
     4614*T1^9*T2^6 + 128*T1^10*T2^6 + 76*T1^11*T2^6 + T1^12*T2^6 - 
     9*T1*T2^7 - 194*T1^2*T2^7 + 1158*T1^3*T2^7 + 2900*T1^4*T2^7 - 
     17993*T1^5*T2^7 + 11776*T1^6*T2^7 + 11776*T1^7*T2^7 - 17993*T1^8*T2^7 + 
     2900*T1^9*T2^7 + 1158*T1^10*T2^7 - 194*T1^11*T2^7 - 9*T1^12*T2^7 + 
     29*T1^2*T2^8 + 115*T1^3*T2^8 - 2032*T1^4*T2^8 + 2900*T1^5*T2^8 + 
     9311*T1^6*T2^8 - 17993*T1^7*T2^8 + 9311*T1^8*T2^8 + 2900*T1^9*T2^8 - 
     2032*T1^10*T2^8 + 115*T1^11*T2^8 + 29*T1^12*T2^8 - 41*T1^3*T2^9 + 
     115*T1^4*T2^9 + 1158*T1^5*T2^9 - 4614*T1^6*T2^9 + 2900*T1^7*T2^9 + 
     2900*T1^8*T2^9 - 4614*T1^9*T2^9 + 1158*T1^10*T2^9 + 115*T1^11*T2^9 - 
     41*T1^12*T2^9 + 29*T1^4*T2^10 - 194*T1^5*T2^10 + 128*T1^6*T2^10 + 
     1158*T1^7*T2^10 - 2032*T1^8*T2^10 + 1158*T1^9*T2^10 + 128*T1^10*T2^10 - 
     194*T1^11*T2^10 + 29*T1^12*T2^10 - 9*T1^5*T2^11 + 76*T1^6*T2^11 - 
     194*T1^7*T2^11 + 115*T1^8*T2^11 + 115*T1^9*T2^11 - 194*T1^10*T2^11 + 
     76*T1^11*T2^11 - 9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 
     29*T1^8*T2^12 - 41*T1^9*T2^12 + 29*T1^10*T2^12 - 9*T1^11*T2^12 + 
     T1^12*T2^12)/(T1^6*T2^6)}, 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), (1 - 6*T1 + 16*T1^2 - 27*T1^3 + 31*T1^4 - 27*T1^5 + 16*T1^6 - 
     6*T1^7 + T1^8 - 6*T2 + 30*T1*T2 - 60*T1^2*T2 + 66*T1^3*T2 - 24*T1^4*T2 - 
     24*T1^5*T2 + 66*T1^6*T2 - 60*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 
     16*T2^2 - 60*T1*T2^2 + 55*T1^2*T2^2 + 56*T1^3*T2^2 - 240*T1^4*T2^2 + 
     281*T1^5*T2^2 - 240*T1^6*T2^2 + 56*T1^7*T2^2 + 55*T1^8*T2^2 - 
     60*T1^9*T2^2 + 16*T1^10*T2^2 - 27*T2^3 + 66*T1*T2^3 + 56*T1^2*T2^3 - 
     302*T1^3*T2^3 + 450*T1^4*T2^3 - 137*T1^5*T2^3 - 137*T1^6*T2^3 + 
     450*T1^7*T2^3 - 302*T1^8*T2^3 + 56*T1^9*T2^3 + 66*T1^10*T2^3 - 
     27*T1^11*T2^3 + 31*T2^4 - 24*T1*T2^4 - 240*T1^2*T2^4 + 450*T1^3*T2^4 - 
     227*T1^4*T2^4 - 543*T1^5*T2^4 + 643*T1^6*T2^4 - 543*T1^7*T2^4 - 
     227*T1^8*T2^4 + 450*T1^9*T2^4 - 240*T1^10*T2^4 - 24*T1^11*T2^4 + 
     31*T1^12*T2^4 - 27*T2^5 - 24*T1*T2^5 + 281*T1^2*T2^5 - 137*T1^3*T2^5 - 
     543*T1^4*T2^5 + 1172*T1^5*T2^5 - 360*T1^6*T2^5 - 360*T1^7*T2^5 + 
     1172*T1^8*T2^5 - 543*T1^9*T2^5 - 137*T1^10*T2^5 + 281*T1^11*T2^5 - 
     24*T1^12*T2^5 - 27*T1^13*T2^5 + 16*T2^6 + 66*T1*T2^6 - 240*T1^2*T2^6 - 
     137*T1^3*T2^6 + 643*T1^4*T2^6 - 360*T1^5*T2^6 - 1182*T1^6*T2^6 + 
     1518*T1^7*T2^6 - 1182*T1^8*T2^6 - 360*T1^9*T2^6 + 643*T1^10*T2^6 - 
     137*T1^11*T2^6 - 240*T1^12*T2^6 + 66*T1^13*T2^6 + 16*T1^14*T2^6 - 
     6*T2^7 - 60*T1*T2^7 + 56*T1^2*T2^7 + 450*T1^3*T2^7 - 543*T1^4*T2^7 - 
     360*T1^5*T2^7 + 1518*T1^6*T2^7 - 612*T1^7*T2^7 - 612*T1^8*T2^7 + 
     1518*T1^9*T2^7 - 360*T1^10*T2^7 - 543*T1^11*T2^7 + 450*T1^12*T2^7 + 
     56*T1^13*T2^7 - 60*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 
     55*T1^2*T2^8 - 302*T1^3*T2^8 - 227*T1^4*T2^8 + 1172*T1^5*T2^8 - 
     1182*T1^6*T2^8 - 612*T1^7*T2^8 + 1260*T1^8*T2^8 - 612*T1^9*T2^8 - 
     1182*T1^10*T2^8 + 1172*T1^11*T2^8 - 227*T1^12*T2^8 - 302*T1^13*T2^8 + 
     55*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 60*T1^2*T2^9 + 
     56*T1^3*T2^9 + 450*T1^4*T2^9 - 543*T1^5*T2^9 - 360*T1^6*T2^9 + 
     1518*T1^7*T2^9 - 612*T1^8*T2^9 - 612*T1^9*T2^9 + 1518*T1^10*T2^9 - 
     360*T1^11*T2^9 - 543*T1^12*T2^9 + 450*T1^13*T2^9 + 56*T1^14*T2^9 - 
     60*T1^15*T2^9 - 6*T1^16*T2^9 + 16*T1^2*T2^10 + 66*T1^3*T2^10 - 
     240*T1^4*T2^10 - 137*T1^5*T2^10 + 643*T1^6*T2^10 - 360*T1^7*T2^10 - 
     1182*T1^8*T2^10 + 1518*T1^9*T2^10 - 1182*T1^10*T2^10 - 360*T1^11*T2^10 + 
     643*T1^12*T2^10 - 137*T1^13*T2^10 - 240*T1^14*T2^10 + 66*T1^15*T2^10 + 
     16*T1^16*T2^10 - 27*T1^3*T2^11 - 24*T1^4*T2^11 + 281*T1^5*T2^11 - 
     137*T1^6*T2^11 - 543*T1^7*T2^11 + 1172*T1^8*T2^11 - 360*T1^9*T2^11 - 
     360*T1^10*T2^11 + 1172*T1^11*T2^11 - 543*T1^12*T2^11 - 137*T1^13*T2^11 + 
     281*T1^14*T2^11 - 24*T1^15*T2^11 - 27*T1^16*T2^11 + 31*T1^4*T2^12 - 
     24*T1^5*T2^12 - 240*T1^6*T2^12 + 450*T1^7*T2^12 - 227*T1^8*T2^12 - 
     543*T1^9*T2^12 + 643*T1^10*T2^12 - 543*T1^11*T2^12 - 227*T1^12*T2^12 + 
     450*T1^13*T2^12 - 240*T1^14*T2^12 - 24*T1^15*T2^12 + 31*T1^16*T2^12 - 
     27*T1^5*T2^13 + 66*T1^6*T2^13 + 56*T1^7*T2^13 - 302*T1^8*T2^13 + 
     450*T1^9*T2^13 - 137*T1^10*T2^13 - 137*T1^11*T2^13 + 450*T1^12*T2^13 - 
     302*T1^13*T2^13 + 56*T1^14*T2^13 + 66*T1^15*T2^13 - 27*T1^16*T2^13 + 
     16*T1^6*T2^14 - 60*T1^7*T2^14 + 55*T1^8*T2^14 + 56*T1^9*T2^14 - 
     240*T1^10*T2^14 + 281*T1^11*T2^14 - 240*T1^12*T2^14 + 56*T1^13*T2^14 + 
     55*T1^14*T2^14 - 60*T1^15*T2^14 + 16*T1^16*T2^14 - 6*T1^7*T2^15 + 
     30*T1^8*T2^15 - 60*T1^9*T2^15 + 66*T1^10*T2^15 - 24*T1^11*T2^15 - 
     24*T1^12*T2^15 + 66*T1^13*T2^15 - 60*T1^14*T2^15 + 30*T1^15*T2^15 - 
     6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 16*T1^10*T2^16 - 
     27*T1^11*T2^16 + 31*T1^12*T2^16 - 27*T1^13*T2^16 + 16*T1^14*T2^16 - 
     6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 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, 0}, 
 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), 
   -((1 - 5*T1 + 14*T1^2 - 26*T1^3 + 31*T1^4 - 26*T1^5 + 14*T1^6 - 5*T1^7 + 
      T1^8 - 5*T2 + 20*T1*T2 - 45*T1^2*T2 + 60*T1^3*T2 - 25*T1^4*T2 - 
      25*T1^5*T2 + 60*T1^6*T2 - 45*T1^7*T2 + 20*T1^8*T2 - 5*T1^9*T2 + 
      14*T2^2 - 45*T1*T2^2 + 83*T1^2*T2^2 - 71*T1^3*T2^2 - 57*T1^4*T2^2 + 
      99*T1^5*T2^2 - 57*T1^6*T2^2 - 71*T1^7*T2^2 + 83*T1^8*T2^2 - 
      45*T1^9*T2^2 + 14*T1^10*T2^2 - 26*T2^3 + 60*T1*T2^3 - 71*T1^2*T2^3 - 
      38*T1^3*T2^3 + 272*T1^4*T2^3 - 105*T1^5*T2^3 - 105*T1^6*T2^3 + 
      272*T1^7*T2^3 - 38*T1^8*T2^3 - 71*T1^9*T2^3 + 60*T1^10*T2^3 - 
      26*T1^11*T2^3 + 31*T2^4 - 25*T1*T2^4 - 57*T1^2*T2^4 + 272*T1^3*T2^4 - 
      370*T1^4*T2^4 - 342*T1^5*T2^4 + 528*T1^6*T2^4 - 342*T1^7*T2^4 - 
      370*T1^8*T2^4 + 272*T1^9*T2^4 - 57*T1^10*T2^4 - 25*T1^11*T2^4 + 
      31*T1^12*T2^4 - 26*T2^5 - 25*T1*T2^5 + 99*T1^2*T2^5 - 105*T1^3*T2^5 - 
      342*T1^4*T2^5 + 1324*T1^5*T2^5 - 500*T1^6*T2^5 - 500*T1^7*T2^5 + 
      1324*T1^8*T2^5 - 342*T1^9*T2^5 - 105*T1^10*T2^5 + 99*T1^11*T2^5 - 
      25*T1^12*T2^5 - 26*T1^13*T2^5 + 14*T2^6 + 60*T1*T2^6 - 57*T1^2*T2^6 - 
      105*T1^3*T2^6 + 528*T1^4*T2^6 - 500*T1^5*T2^6 - 1769*T1^6*T2^6 + 
      2387*T1^7*T2^6 - 1769*T1^8*T2^6 - 500*T1^9*T2^6 + 528*T1^10*T2^6 - 
      105*T1^11*T2^6 - 57*T1^12*T2^6 + 60*T1^13*T2^6 + 14*T1^14*T2^6 - 
      5*T2^7 - 45*T1*T2^7 - 71*T1^2*T2^7 + 272*T1^3*T2^7 - 342*T1^4*T2^7 - 
      500*T1^5*T2^7 + 2387*T1^6*T2^7 - 906*T1^7*T2^7 - 906*T1^8*T2^7 + 
      2387*T1^9*T2^7 - 500*T1^10*T2^7 - 342*T1^11*T2^7 + 272*T1^12*T2^7 - 
      71*T1^13*T2^7 - 45*T1^14*T2^7 - 5*T1^15*T2^7 + T2^8 + 20*T1*T2^8 + 
      83*T1^2*T2^8 - 38*T1^3*T2^8 - 370*T1^4*T2^8 + 1324*T1^5*T2^8 - 
      1769*T1^6*T2^8 - 906*T1^7*T2^8 + 1620*T1^8*T2^8 - 906*T1^9*T2^8 - 
      1769*T1^10*T2^8 + 1324*T1^11*T2^8 - 370*T1^12*T2^8 - 38*T1^13*T2^8 + 
      83*T1^14*T2^8 + 20*T1^15*T2^8 + T1^16*T2^8 - 5*T1*T2^9 - 45*T1^2*T2^9 - 
      71*T1^3*T2^9 + 272*T1^4*T2^9 - 342*T1^5*T2^9 - 500*T1^6*T2^9 + 
      2387*T1^7*T2^9 - 906*T1^8*T2^9 - 906*T1^9*T2^9 + 2387*T1^10*T2^9 - 
      500*T1^11*T2^9 - 342*T1^12*T2^9 + 272*T1^13*T2^9 - 71*T1^14*T2^9 - 
      45*T1^15*T2^9 - 5*T1^16*T2^9 + 14*T1^2*T2^10 + 60*T1^3*T2^10 - 
      57*T1^4*T2^10 - 105*T1^5*T2^10 + 528*T1^6*T2^10 - 500*T1^7*T2^10 - 
      1769*T1^8*T2^10 + 2387*T1^9*T2^10 - 1769*T1^10*T2^10 - 
      500*T1^11*T2^10 + 528*T1^12*T2^10 - 105*T1^13*T2^10 - 57*T1^14*T2^10 + 
      60*T1^15*T2^10 + 14*T1^16*T2^10 - 26*T1^3*T2^11 - 25*T1^4*T2^11 + 
      99*T1^5*T2^11 - 105*T1^6*T2^11 - 342*T1^7*T2^11 + 1324*T1^8*T2^11 - 
      500*T1^9*T2^11 - 500*T1^10*T2^11 + 1324*T1^11*T2^11 - 342*T1^12*T2^11 - 
      105*T1^13*T2^11 + 99*T1^14*T2^11 - 25*T1^15*T2^11 - 26*T1^16*T2^11 + 
      31*T1^4*T2^12 - 25*T1^5*T2^12 - 57*T1^6*T2^12 + 272*T1^7*T2^12 - 
      370*T1^8*T2^12 - 342*T1^9*T2^12 + 528*T1^10*T2^12 - 342*T1^11*T2^12 - 
      370*T1^12*T2^12 + 272*T1^13*T2^12 - 57*T1^14*T2^12 - 25*T1^15*T2^12 + 
      31*T1^16*T2^12 - 26*T1^5*T2^13 + 60*T1^6*T2^13 - 71*T1^7*T2^13 - 
      38*T1^8*T2^13 + 272*T1^9*T2^13 - 105*T1^10*T2^13 - 105*T1^11*T2^13 + 
      272*T1^12*T2^13 - 38*T1^13*T2^13 - 71*T1^14*T2^13 + 60*T1^15*T2^13 - 
      26*T1^16*T2^13 + 14*T1^6*T2^14 - 45*T1^7*T2^14 + 83*T1^8*T2^14 - 
      71*T1^9*T2^14 - 57*T1^10*T2^14 + 99*T1^11*T2^14 - 57*T1^12*T2^14 - 
      71*T1^13*T2^14 + 83*T1^14*T2^14 - 45*T1^15*T2^14 + 14*T1^16*T2^14 - 
      5*T1^7*T2^15 + 20*T1^8*T2^15 - 45*T1^9*T2^15 + 60*T1^10*T2^15 - 
      25*T1^11*T2^15 - 25*T1^12*T2^15 + 60*T1^13*T2^15 - 45*T1^14*T2^15 + 
      20*T1^15*T2^15 - 5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 
      14*T1^10*T2^16 - 26*T1^11*T2^16 + 31*T1^12*T2^16 - 26*T1^13*T2^16 + 
      14*T1^14*T2^16 - 5*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 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), 
   -((1 - 4*T1 + 11*T1^2 - 21*T1^3 + 25*T1^4 - 21*T1^5 + 11*T1^6 - 4*T1^7 + 
      T1^8 - 4*T2 + 12*T1*T2 - 28*T1^2*T2 + 40*T1^3*T2 - 16*T1^4*T2 - 
      16*T1^5*T2 + 40*T1^6*T2 - 28*T1^7*T2 + 12*T1^8*T2 - 4*T1^9*T2 + 
      11*T2^2 - 28*T1*T2^2 + 65*T1^2*T2^2 - 89*T1^3*T2^2 + 36*T1^4*T2^2 - 
      27*T1^5*T2^2 + 36*T1^6*T2^2 - 89*T1^7*T2^2 + 65*T1^8*T2^2 - 
      28*T1^9*T2^2 + 11*T1^10*T2^2 - 21*T2^3 + 40*T1*T2^3 - 89*T1^2*T2^3 + 
      88*T1^3*T2^3 + 49*T1^4*T2^3 - 6*T1^5*T2^3 - 6*T1^6*T2^3 + 
      49*T1^7*T2^3 + 88*T1^8*T2^3 - 89*T1^9*T2^3 + 40*T1^10*T2^3 - 
      21*T1^11*T2^3 + 25*T2^4 - 16*T1*T2^4 + 36*T1^2*T2^4 + 49*T1^3*T2^4 - 
      215*T1^4*T2^4 - 82*T1^5*T2^4 + 107*T1^6*T2^4 - 82*T1^7*T2^4 - 
      215*T1^8*T2^4 + 49*T1^9*T2^4 + 36*T1^10*T2^4 - 16*T1^11*T2^4 + 
      25*T1^12*T2^4 - 21*T2^5 - 16*T1*T2^5 - 27*T1^2*T2^5 - 6*T1^3*T2^5 - 
      82*T1^4*T2^5 + 658*T1^5*T2^5 - 218*T1^6*T2^5 - 218*T1^7*T2^5 + 
      658*T1^8*T2^5 - 82*T1^9*T2^5 - 6*T1^10*T2^5 - 27*T1^11*T2^5 - 
      16*T1^12*T2^5 - 21*T1^13*T2^5 + 11*T2^6 + 40*T1*T2^6 + 36*T1^2*T2^6 - 
      6*T1^3*T2^6 + 107*T1^4*T2^6 - 218*T1^5*T2^6 - 1185*T1^6*T2^6 + 
      1535*T1^7*T2^6 - 1185*T1^8*T2^6 - 218*T1^9*T2^6 + 107*T1^10*T2^6 - 
      6*T1^11*T2^6 + 36*T1^12*T2^6 + 40*T1^13*T2^6 + 11*T1^14*T2^6 - 4*T2^7 - 
      28*T1*T2^7 - 89*T1^2*T2^7 + 49*T1^3*T2^7 - 82*T1^4*T2^7 - 
      218*T1^5*T2^7 + 1535*T1^6*T2^7 - 592*T1^7*T2^7 - 592*T1^8*T2^7 + 
      1535*T1^9*T2^7 - 218*T1^10*T2^7 - 82*T1^11*T2^7 + 49*T1^12*T2^7 - 
      89*T1^13*T2^7 - 28*T1^14*T2^7 - 4*T1^15*T2^7 + T2^8 + 12*T1*T2^8 + 
      65*T1^2*T2^8 + 88*T1^3*T2^8 - 215*T1^4*T2^8 + 658*T1^5*T2^8 - 
      1185*T1^6*T2^8 - 592*T1^7*T2^8 + 1104*T1^8*T2^8 - 592*T1^9*T2^8 - 
      1185*T1^10*T2^8 + 658*T1^11*T2^8 - 215*T1^12*T2^8 + 88*T1^13*T2^8 + 
      65*T1^14*T2^8 + 12*T1^15*T2^8 + T1^16*T2^8 - 4*T1*T2^9 - 28*T1^2*T2^9 - 
      89*T1^3*T2^9 + 49*T1^4*T2^9 - 82*T1^5*T2^9 - 218*T1^6*T2^9 + 
      1535*T1^7*T2^9 - 592*T1^8*T2^9 - 592*T1^9*T2^9 + 1535*T1^10*T2^9 - 
      218*T1^11*T2^9 - 82*T1^12*T2^9 + 49*T1^13*T2^9 - 89*T1^14*T2^9 - 
      28*T1^15*T2^9 - 4*T1^16*T2^9 + 11*T1^2*T2^10 + 40*T1^3*T2^10 + 
      36*T1^4*T2^10 - 6*T1^5*T2^10 + 107*T1^6*T2^10 - 218*T1^7*T2^10 - 
      1185*T1^8*T2^10 + 1535*T1^9*T2^10 - 1185*T1^10*T2^10 - 
      218*T1^11*T2^10 + 107*T1^12*T2^10 - 6*T1^13*T2^10 + 36*T1^14*T2^10 + 
      40*T1^15*T2^10 + 11*T1^16*T2^10 - 21*T1^3*T2^11 - 16*T1^4*T2^11 - 
      27*T1^5*T2^11 - 6*T1^6*T2^11 - 82*T1^7*T2^11 + 658*T1^8*T2^11 - 
      218*T1^9*T2^11 - 218*T1^10*T2^11 + 658*T1^11*T2^11 - 82*T1^12*T2^11 - 
      6*T1^13*T2^11 - 27*T1^14*T2^11 - 16*T1^15*T2^11 - 21*T1^16*T2^11 + 
      25*T1^4*T2^12 - 16*T1^5*T2^12 + 36*T1^6*T2^12 + 49*T1^7*T2^12 - 
      215*T1^8*T2^12 - 82*T1^9*T2^12 + 107*T1^10*T2^12 - 82*T1^11*T2^12 - 
      215*T1^12*T2^12 + 49*T1^13*T2^12 + 36*T1^14*T2^12 - 16*T1^15*T2^12 + 
      25*T1^16*T2^12 - 21*T1^5*T2^13 + 40*T1^6*T2^13 - 89*T1^7*T2^13 + 
      88*T1^8*T2^13 + 49*T1^9*T2^13 - 6*T1^10*T2^13 - 6*T1^11*T2^13 + 
      49*T1^12*T2^13 + 88*T1^13*T2^13 - 89*T1^14*T2^13 + 40*T1^15*T2^13 - 
      21*T1^16*T2^13 + 11*T1^6*T2^14 - 28*T1^7*T2^14 + 65*T1^8*T2^14 - 
      89*T1^9*T2^14 + 36*T1^10*T2^14 - 27*T1^11*T2^14 + 36*T1^12*T2^14 - 
      89*T1^13*T2^14 + 65*T1^14*T2^14 - 28*T1^15*T2^14 + 11*T1^16*T2^14 - 
      4*T1^7*T2^15 + 12*T1^8*T2^15 - 28*T1^9*T2^15 + 40*T1^10*T2^15 - 
      16*T1^11*T2^15 - 16*T1^12*T2^15 + 40*T1^13*T2^15 - 28*T1^14*T2^15 + 
      12*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 
      11*T1^10*T2^16 - 21*T1^11*T2^16 + 25*T1^12*T2^16 - 21*T1^13*T2^16 + 
      11*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8))}, 
 Knot[12, NonAlternating, 876] -> 
  {-(((-2 + 4*T - 2*T^2 + T^3)*(-1 + 2*T - 4*T^2 + 2*T^3))/T^3), 
   -((1 - 4*T1 + 10*T1^2 - 15*T1^3 + 10*T1^4 - 4*T1^5 + T1^6 - 4*T2 + 
      12*T1*T2 - 24*T1^2*T2 + 20*T1^3*T2 + 20*T1^4*T2 - 24*T1^5*T2 + 
      12*T1^6*T2 - 4*T1^7*T2 + 10*T2^2 - 24*T1*T2^2 + 40*T1^2*T2^2 - 
      30*T1^3*T2^2 - 28*T1^4*T2^2 - 30*T1^5*T2^2 + 40*T1^6*T2^2 - 
      24*T1^7*T2^2 + 10*T1^8*T2^2 - 15*T2^3 + 20*T1*T2^3 - 30*T1^2*T2^3 + 
      24*T1^3*T2^3 + 62*T1^4*T2^3 + 62*T1^5*T2^3 + 24*T1^6*T2^3 - 
      30*T1^7*T2^3 + 20*T1^8*T2^3 - 15*T1^9*T2^3 + 10*T2^4 + 20*T1*T2^4 - 
      28*T1^2*T2^4 + 62*T1^3*T2^4 - 149*T1^4*T2^4 - 129*T1^5*T2^4 - 
      149*T1^6*T2^4 + 62*T1^7*T2^4 - 28*T1^8*T2^4 + 20*T1^9*T2^4 + 
      10*T1^10*T2^4 - 4*T2^5 - 24*T1*T2^5 - 30*T1^2*T2^5 + 62*T1^3*T2^5 - 
      129*T1^4*T2^5 + 384*T1^5*T2^5 + 384*T1^6*T2^5 - 129*T1^7*T2^5 + 
      62*T1^8*T2^5 - 30*T1^9*T2^5 - 24*T1^10*T2^5 - 4*T1^11*T2^5 + T2^6 + 
      12*T1*T2^6 + 40*T1^2*T2^6 + 24*T1^3*T2^6 - 149*T1^4*T2^6 + 
      384*T1^5*T2^6 - 1248*T1^6*T2^6 + 384*T1^7*T2^6 - 149*T1^8*T2^6 + 
      24*T1^9*T2^6 + 40*T1^10*T2^6 + 12*T1^11*T2^6 + T1^12*T2^6 - 4*T1*T2^7 - 
      24*T1^2*T2^7 - 30*T1^3*T2^7 + 62*T1^4*T2^7 - 129*T1^5*T2^7 + 
      384*T1^6*T2^7 + 384*T1^7*T2^7 - 129*T1^8*T2^7 + 62*T1^9*T2^7 - 
      30*T1^10*T2^7 - 24*T1^11*T2^7 - 4*T1^12*T2^7 + 10*T1^2*T2^8 + 
      20*T1^3*T2^8 - 28*T1^4*T2^8 + 62*T1^5*T2^8 - 149*T1^6*T2^8 - 
      129*T1^7*T2^8 - 149*T1^8*T2^8 + 62*T1^9*T2^8 - 28*T1^10*T2^8 + 
      20*T1^11*T2^8 + 10*T1^12*T2^8 - 15*T1^3*T2^9 + 20*T1^4*T2^9 - 
      30*T1^5*T2^9 + 24*T1^6*T2^9 + 62*T1^7*T2^9 + 62*T1^8*T2^9 + 
      24*T1^9*T2^9 - 30*T1^10*T2^9 + 20*T1^11*T2^9 - 15*T1^12*T2^9 + 
      10*T1^4*T2^10 - 24*T1^5*T2^10 + 40*T1^6*T2^10 - 30*T1^7*T2^10 - 
      28*T1^8*T2^10 - 30*T1^9*T2^10 + 40*T1^10*T2^10 - 24*T1^11*T2^10 + 
      10*T1^12*T2^10 - 4*T1^5*T2^11 + 12*T1^6*T2^11 - 24*T1^7*T2^11 + 
      20*T1^8*T2^11 + 20*T1^9*T2^11 - 24*T1^10*T2^11 + 12*T1^11*T2^11 - 
      4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 10*T1^8*T2^12 - 
      15*T1^9*T2^12 + 10*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/
     (T1^6*T2^6))}, 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), 
   (1 - 7*T1 + 20*T1^2 - 32*T1^3 + 35*T1^4 - 32*T1^5 + 20*T1^6 - 7*T1^7 + 
     T1^8 - 7*T2 + 42*T1*T2 - 91*T1^2*T2 + 84*T1^3*T2 - 21*T1^4*T2 - 
     21*T1^5*T2 + 84*T1^6*T2 - 91*T1^7*T2 + 42*T1^8*T2 - 7*T1^9*T2 + 
     20*T2^2 - 91*T1*T2^2 + 76*T1^2*T2^2 + 205*T1^3*T2^2 - 476*T1^4*T2^2 + 
     442*T1^5*T2^2 - 476*T1^6*T2^2 + 205*T1^7*T2^2 + 76*T1^8*T2^2 - 
     91*T1^9*T2^2 + 20*T1^10*T2^2 - 32*T2^3 + 84*T1*T2^3 + 205*T1^2*T2^3 - 
     854*T1^3*T2^3 + 819*T1^4*T2^3 - 49*T1^5*T2^3 - 49*T1^6*T2^3 + 
     819*T1^7*T2^3 - 854*T1^8*T2^3 + 205*T1^9*T2^3 + 84*T1^10*T2^3 - 
     32*T1^11*T2^3 + 35*T2^4 - 21*T1*T2^4 - 476*T1^2*T2^4 + 819*T1^3*T2^4 + 
     559*T1^4*T2^4 - 2073*T1^5*T2^4 + 1437*T1^6*T2^4 - 2073*T1^7*T2^4 + 
     559*T1^8*T2^4 + 819*T1^9*T2^4 - 476*T1^10*T2^4 - 21*T1^11*T2^4 + 
     35*T1^12*T2^4 - 32*T2^5 - 21*T1*T2^5 + 442*T1^2*T2^5 - 49*T1^3*T2^5 - 
     2073*T1^4*T2^5 + 2436*T1^5*T2^5 + 79*T1^6*T2^5 + 79*T1^7*T2^5 + 
     2436*T1^8*T2^5 - 2073*T1^9*T2^5 - 49*T1^10*T2^5 + 442*T1^11*T2^5 - 
     21*T1^12*T2^5 - 32*T1^13*T2^5 + 20*T2^6 + 84*T1*T2^6 - 476*T1^2*T2^6 - 
     49*T1^3*T2^6 + 1437*T1^4*T2^6 + 79*T1^5*T2^6 - 3388*T1^6*T2^6 + 
     2464*T1^7*T2^6 - 3388*T1^8*T2^6 + 79*T1^9*T2^6 + 1437*T1^10*T2^6 - 
     49*T1^11*T2^6 - 476*T1^12*T2^6 + 84*T1^13*T2^6 + 20*T1^14*T2^6 - 
     7*T2^7 - 91*T1*T2^7 + 205*T1^2*T2^7 + 819*T1^3*T2^7 - 2073*T1^4*T2^7 + 
     79*T1^5*T2^7 + 2464*T1^6*T2^7 - 188*T1^7*T2^7 - 188*T1^8*T2^7 + 
     2464*T1^9*T2^7 + 79*T1^10*T2^7 - 2073*T1^11*T2^7 + 819*T1^12*T2^7 + 
     205*T1^13*T2^7 - 91*T1^14*T2^7 - 7*T1^15*T2^7 + T2^8 + 42*T1*T2^8 + 
     76*T1^2*T2^8 - 854*T1^3*T2^8 + 559*T1^4*T2^8 + 2436*T1^5*T2^8 - 
     3388*T1^6*T2^8 - 188*T1^7*T2^8 + 132*T1^8*T2^8 - 188*T1^9*T2^8 - 
     3388*T1^10*T2^8 + 2436*T1^11*T2^8 + 559*T1^12*T2^8 - 854*T1^13*T2^8 + 
     76*T1^14*T2^8 + 42*T1^15*T2^8 + T1^16*T2^8 - 7*T1*T2^9 - 91*T1^2*T2^9 + 
     205*T1^3*T2^9 + 819*T1^4*T2^9 - 2073*T1^5*T2^9 + 79*T1^6*T2^9 + 
     2464*T1^7*T2^9 - 188*T1^8*T2^9 - 188*T1^9*T2^9 + 2464*T1^10*T2^9 + 
     79*T1^11*T2^9 - 2073*T1^12*T2^9 + 819*T1^13*T2^9 + 205*T1^14*T2^9 - 
     91*T1^15*T2^9 - 7*T1^16*T2^9 + 20*T1^2*T2^10 + 84*T1^3*T2^10 - 
     476*T1^4*T2^10 - 49*T1^5*T2^10 + 1437*T1^6*T2^10 + 79*T1^7*T2^10 - 
     3388*T1^8*T2^10 + 2464*T1^9*T2^10 - 3388*T1^10*T2^10 + 79*T1^11*T2^10 + 
     1437*T1^12*T2^10 - 49*T1^13*T2^10 - 476*T1^14*T2^10 + 84*T1^15*T2^10 + 
     20*T1^16*T2^10 - 32*T1^3*T2^11 - 21*T1^4*T2^11 + 442*T1^5*T2^11 - 
     49*T1^6*T2^11 - 2073*T1^7*T2^11 + 2436*T1^8*T2^11 + 79*T1^9*T2^11 + 
     79*T1^10*T2^11 + 2436*T1^11*T2^11 - 2073*T1^12*T2^11 - 49*T1^13*T2^11 + 
     442*T1^14*T2^11 - 21*T1^15*T2^11 - 32*T1^16*T2^11 + 35*T1^4*T2^12 - 
     21*T1^5*T2^12 - 476*T1^6*T2^12 + 819*T1^7*T2^12 + 559*T1^8*T2^12 - 
     2073*T1^9*T2^12 + 1437*T1^10*T2^12 - 2073*T1^11*T2^12 + 
     559*T1^12*T2^12 + 819*T1^13*T2^12 - 476*T1^14*T2^12 - 21*T1^15*T2^12 + 
     35*T1^16*T2^12 - 32*T1^5*T2^13 + 84*T1^6*T2^13 + 205*T1^7*T2^13 - 
     854*T1^8*T2^13 + 819*T1^9*T2^13 - 49*T1^10*T2^13 - 49*T1^11*T2^13 + 
     819*T1^12*T2^13 - 854*T1^13*T2^13 + 205*T1^14*T2^13 + 84*T1^15*T2^13 - 
     32*T1^16*T2^13 + 20*T1^6*T2^14 - 91*T1^7*T2^14 + 76*T1^8*T2^14 + 
     205*T1^9*T2^14 - 476*T1^10*T2^14 + 442*T1^11*T2^14 - 476*T1^12*T2^14 + 
     205*T1^13*T2^14 + 76*T1^14*T2^14 - 91*T1^15*T2^14 + 20*T1^16*T2^14 - 
     7*T1^7*T2^15 + 42*T1^8*T2^15 - 91*T1^9*T2^15 + 84*T1^10*T2^15 - 
     21*T1^11*T2^15 - 21*T1^12*T2^15 + 84*T1^13*T2^15 - 91*T1^14*T2^15 + 
     42*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 7*T1^9*T2^16 + 
     20*T1^10*T2^16 - 32*T1^11*T2^16 + 35*T1^12*T2^16 - 32*T1^13*T2^16 + 
     20*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 878] -> 
  {(1 - 11*T + 34*T^2 - 47*T^3 + 34*T^4 - 11*T^5 + T^6)/T^3, 
   (1 - 11*T1 + 34*T1^2 - 47*T1^3 + 34*T1^4 - 11*T1^5 + T1^6 - 11*T2 + 
     110*T1*T2 - 249*T1^2*T2 + 139*T1^3*T2 + 139*T1^4*T2 - 249*T1^5*T2 + 
     110*T1^6*T2 - 11*T1^7*T2 + 34*T2^2 - 249*T1*T2^2 - 116*T1^2*T2^2 + 
     1908*T1^3*T2^2 - 2976*T1^4*T2^2 + 1908*T1^5*T2^2 - 116*T1^6*T2^2 - 
     249*T1^7*T2^2 + 34*T1^8*T2^2 - 47*T2^3 + 139*T1*T2^3 + 1908*T1^2*T2^3 - 
     5482*T1^3*T2^3 + 3119*T1^4*T2^3 + 3119*T1^5*T2^3 - 5482*T1^6*T2^3 + 
     1908*T1^7*T2^3 + 139*T1^8*T2^3 - 47*T1^9*T2^3 + 34*T2^4 + 139*T1*T2^4 - 
     2976*T1^2*T2^4 + 3119*T1^3*T2^4 + 8326*T1^4*T2^4 - 15518*T1^5*T2^4 + 
     8326*T1^6*T2^4 + 3119*T1^7*T2^4 - 2976*T1^8*T2^4 + 139*T1^9*T2^4 + 
     34*T1^10*T2^4 - 11*T2^5 - 249*T1*T2^5 + 1908*T1^2*T2^5 + 
     3119*T1^3*T2^5 - 15518*T1^4*T2^5 + 9318*T1^5*T2^5 + 9318*T1^6*T2^5 - 
     15518*T1^7*T2^5 + 3119*T1^8*T2^5 + 1908*T1^9*T2^5 - 249*T1^10*T2^5 - 
     11*T1^11*T2^5 + T2^6 + 110*T1*T2^6 - 116*T1^2*T2^6 - 5482*T1^3*T2^6 + 
     8326*T1^4*T2^6 + 9318*T1^5*T2^6 - 20976*T1^6*T2^6 + 9318*T1^7*T2^6 + 
     8326*T1^8*T2^6 - 5482*T1^9*T2^6 - 116*T1^10*T2^6 + 110*T1^11*T2^6 + 
     T1^12*T2^6 - 11*T1*T2^7 - 249*T1^2*T2^7 + 1908*T1^3*T2^7 + 
     3119*T1^4*T2^7 - 15518*T1^5*T2^7 + 9318*T1^6*T2^7 + 9318*T1^7*T2^7 - 
     15518*T1^8*T2^7 + 3119*T1^9*T2^7 + 1908*T1^10*T2^7 - 249*T1^11*T2^7 - 
     11*T1^12*T2^7 + 34*T1^2*T2^8 + 139*T1^3*T2^8 - 2976*T1^4*T2^8 + 
     3119*T1^5*T2^8 + 8326*T1^6*T2^8 - 15518*T1^7*T2^8 + 8326*T1^8*T2^8 + 
     3119*T1^9*T2^8 - 2976*T1^10*T2^8 + 139*T1^11*T2^8 + 34*T1^12*T2^8 - 
     47*T1^3*T2^9 + 139*T1^4*T2^9 + 1908*T1^5*T2^9 - 5482*T1^6*T2^9 + 
     3119*T1^7*T2^9 + 3119*T1^8*T2^9 - 5482*T1^9*T2^9 + 1908*T1^10*T2^9 + 
     139*T1^11*T2^9 - 47*T1^12*T2^9 + 34*T1^4*T2^10 - 249*T1^5*T2^10 - 
     116*T1^6*T2^10 + 1908*T1^7*T2^10 - 2976*T1^8*T2^10 + 1908*T1^9*T2^10 - 
     116*T1^10*T2^10 - 249*T1^11*T2^10 + 34*T1^12*T2^10 - 11*T1^5*T2^11 + 
     110*T1^6*T2^11 - 249*T1^7*T2^11 + 139*T1^8*T2^11 + 139*T1^9*T2^11 - 
     249*T1^10*T2^11 + 110*T1^11*T2^11 - 11*T1^12*T2^11 + T1^6*T2^12 - 
     11*T1^7*T2^12 + 34*T1^8*T2^12 - 47*T1^9*T2^12 + 34*T1^10*T2^12 - 
     11*T1^11*T2^12 + T1^12*T2^12)/(T1^6*T2^6)}, 
 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), 
   (1 - 6*T1 + 17*T1^2 - 30*T1^3 + 35*T1^4 - 30*T1^5 + 17*T1^6 - 6*T1^7 + 
     T1^8 - 6*T2 + 30*T1*T2 - 66*T1^2*T2 + 78*T1^3*T2 - 30*T1^4*T2 - 
     30*T1^5*T2 + 78*T1^6*T2 - 66*T1^7*T2 + 30*T1^8*T2 - 6*T1^9*T2 + 
     17*T2^2 - 66*T1*T2^2 + 86*T1^2*T2^2 + 18*T1^3*T2^2 - 234*T1^4*T2^2 + 
     290*T1^5*T2^2 - 234*T1^6*T2^2 + 18*T1^7*T2^2 + 86*T1^8*T2^2 - 
     66*T1^9*T2^2 + 17*T1^10*T2^2 - 30*T2^3 + 78*T1*T2^3 + 18*T1^2*T2^3 - 
     314*T1^3*T2^3 + 546*T1^4*T2^3 - 176*T1^5*T2^3 - 176*T1^6*T2^3 + 
     546*T1^7*T2^3 - 314*T1^8*T2^3 + 18*T1^9*T2^3 + 78*T1^10*T2^3 - 
     30*T1^11*T2^3 + 35*T2^4 - 30*T1*T2^4 - 234*T1^2*T2^4 + 546*T1^3*T2^4 - 
     354*T1^4*T2^4 - 669*T1^5*T2^4 + 792*T1^6*T2^4 - 669*T1^7*T2^4 - 
     354*T1^8*T2^4 + 546*T1^9*T2^4 - 234*T1^10*T2^4 - 30*T1^11*T2^4 + 
     35*T1^12*T2^4 - 30*T2^5 - 30*T1*T2^5 + 290*T1^2*T2^5 - 176*T1^3*T2^5 - 
     669*T1^4*T2^5 + 1676*T1^5*T2^5 - 466*T1^6*T2^5 - 466*T1^7*T2^5 + 
     1676*T1^8*T2^5 - 669*T1^9*T2^5 - 176*T1^10*T2^5 + 290*T1^11*T2^5 - 
     30*T1^12*T2^5 - 30*T1^13*T2^5 + 17*T2^6 + 78*T1*T2^6 - 234*T1^2*T2^6 - 
     176*T1^3*T2^6 + 792*T1^4*T2^6 - 466*T1^5*T2^6 - 2187*T1^6*T2^6 + 
     2543*T1^7*T2^6 - 2187*T1^8*T2^6 - 466*T1^9*T2^6 + 792*T1^10*T2^6 - 
     176*T1^11*T2^6 - 234*T1^12*T2^6 + 78*T1^13*T2^6 + 17*T1^14*T2^6 - 
     6*T2^7 - 66*T1*T2^7 + 18*T1^2*T2^7 + 546*T1^3*T2^7 - 669*T1^4*T2^7 - 
     466*T1^5*T2^7 + 2543*T1^6*T2^7 - 764*T1^7*T2^7 - 764*T1^8*T2^7 + 
     2543*T1^9*T2^7 - 466*T1^10*T2^7 - 669*T1^11*T2^7 + 546*T1^12*T2^7 + 
     18*T1^13*T2^7 - 66*T1^14*T2^7 - 6*T1^15*T2^7 + T2^8 + 30*T1*T2^8 + 
     86*T1^2*T2^8 - 314*T1^3*T2^8 - 354*T1^4*T2^8 + 1676*T1^5*T2^8 - 
     2187*T1^6*T2^8 - 764*T1^7*T2^8 + 1212*T1^8*T2^8 - 764*T1^9*T2^8 - 
     2187*T1^10*T2^8 + 1676*T1^11*T2^8 - 354*T1^12*T2^8 - 314*T1^13*T2^8 + 
     86*T1^14*T2^8 + 30*T1^15*T2^8 + T1^16*T2^8 - 6*T1*T2^9 - 66*T1^2*T2^9 + 
     18*T1^3*T2^9 + 546*T1^4*T2^9 - 669*T1^5*T2^9 - 466*T1^6*T2^9 + 
     2543*T1^7*T2^9 - 764*T1^8*T2^9 - 764*T1^9*T2^9 + 2543*T1^10*T2^9 - 
     466*T1^11*T2^9 - 669*T1^12*T2^9 + 546*T1^13*T2^9 + 18*T1^14*T2^9 - 
     66*T1^15*T2^9 - 6*T1^16*T2^9 + 17*T1^2*T2^10 + 78*T1^3*T2^10 - 
     234*T1^4*T2^10 - 176*T1^5*T2^10 + 792*T1^6*T2^10 - 466*T1^7*T2^10 - 
     2187*T1^8*T2^10 + 2543*T1^9*T2^10 - 2187*T1^10*T2^10 - 466*T1^11*T2^10 + 
     792*T1^12*T2^10 - 176*T1^13*T2^10 - 234*T1^14*T2^10 + 78*T1^15*T2^10 + 
     17*T1^16*T2^10 - 30*T1^3*T2^11 - 30*T1^4*T2^11 + 290*T1^5*T2^11 - 
     176*T1^6*T2^11 - 669*T1^7*T2^11 + 1676*T1^8*T2^11 - 466*T1^9*T2^11 - 
     466*T1^10*T2^11 + 1676*T1^11*T2^11 - 669*T1^12*T2^11 - 176*T1^13*T2^11 + 
     290*T1^14*T2^11 - 30*T1^15*T2^11 - 30*T1^16*T2^11 + 35*T1^4*T2^12 - 
     30*T1^5*T2^12 - 234*T1^6*T2^12 + 546*T1^7*T2^12 - 354*T1^8*T2^12 - 
     669*T1^9*T2^12 + 792*T1^10*T2^12 - 669*T1^11*T2^12 - 354*T1^12*T2^12 + 
     546*T1^13*T2^12 - 234*T1^14*T2^12 - 30*T1^15*T2^12 + 35*T1^16*T2^12 - 
     30*T1^5*T2^13 + 78*T1^6*T2^13 + 18*T1^7*T2^13 - 314*T1^8*T2^13 + 
     546*T1^9*T2^13 - 176*T1^10*T2^13 - 176*T1^11*T2^13 + 546*T1^12*T2^13 - 
     314*T1^13*T2^13 + 18*T1^14*T2^13 + 78*T1^15*T2^13 - 30*T1^16*T2^13 + 
     17*T1^6*T2^14 - 66*T1^7*T2^14 + 86*T1^8*T2^14 + 18*T1^9*T2^14 - 
     234*T1^10*T2^14 + 290*T1^11*T2^14 - 234*T1^12*T2^14 + 18*T1^13*T2^14 + 
     86*T1^14*T2^14 - 66*T1^15*T2^14 + 17*T1^16*T2^14 - 6*T1^7*T2^15 + 
     30*T1^8*T2^15 - 66*T1^9*T2^15 + 78*T1^10*T2^15 - 30*T1^11*T2^15 - 
     30*T1^12*T2^15 + 78*T1^13*T2^15 - 66*T1^14*T2^15 + 30*T1^15*T2^15 - 
     6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 17*T1^10*T2^16 - 
     30*T1^11*T2^16 + 35*T1^12*T2^16 - 30*T1^13*T2^16 + 17*T1^14*T2^16 - 
     6*T1^15*T2^16 + T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 880] -> 
  {-((3 - 14*T + 30*T^2 - 39*T^3 + 30*T^4 - 14*T^5 + 3*T^6)/T^3), 
   -((3 - 15*T1 + 34*T1^2 - 45*T1^3 + 34*T1^4 - 15*T1^5 + 3*T1^6 - 15*T2 + 
      58*T1*T2 - 91*T1^2*T2 + 55*T1^3*T2 + 55*T1^4*T2 - 91*T1^5*T2 + 
      58*T1^6*T2 - 15*T1^7*T2 + 34*T2^2 - 91*T1*T2^2 + 55*T1^2*T2^2 + 
      110*T1^3*T2^2 - 293*T1^4*T2^2 + 110*T1^5*T2^2 + 55*T1^6*T2^2 - 
      91*T1^7*T2^2 + 34*T1^8*T2^2 - 45*T2^3 + 55*T1*T2^3 + 110*T1^2*T2^3 - 
      296*T1^3*T2^3 + 298*T1^4*T2^3 + 298*T1^5*T2^3 - 296*T1^6*T2^3 + 
      110*T1^7*T2^3 + 55*T1^8*T2^3 - 45*T1^9*T2^3 + 34*T2^4 + 55*T1*T2^4 - 
      293*T1^2*T2^4 + 298*T1^3*T2^4 - 41*T1^4*T2^4 - 627*T1^5*T2^4 - 
      41*T1^6*T2^4 + 298*T1^7*T2^4 - 293*T1^8*T2^4 + 55*T1^9*T2^4 + 
      34*T1^10*T2^4 - 15*T2^5 - 91*T1*T2^5 + 110*T1^2*T2^5 + 298*T1^3*T2^5 - 
      627*T1^4*T2^5 + 728*T1^5*T2^5 + 728*T1^6*T2^5 - 627*T1^7*T2^5 + 
      298*T1^8*T2^5 + 110*T1^9*T2^5 - 91*T1^10*T2^5 - 15*T1^11*T2^5 + 
      3*T2^6 + 58*T1*T2^6 + 55*T1^2*T2^6 - 296*T1^3*T2^6 - 41*T1^4*T2^6 + 
      728*T1^5*T2^6 - 1944*T1^6*T2^6 + 728*T1^7*T2^6 - 41*T1^8*T2^6 - 
      296*T1^9*T2^6 + 55*T1^10*T2^6 + 58*T1^11*T2^6 + 3*T1^12*T2^6 - 
      15*T1*T2^7 - 91*T1^2*T2^7 + 110*T1^3*T2^7 + 298*T1^4*T2^7 - 
      627*T1^5*T2^7 + 728*T1^6*T2^7 + 728*T1^7*T2^7 - 627*T1^8*T2^7 + 
      298*T1^9*T2^7 + 110*T1^10*T2^7 - 91*T1^11*T2^7 - 15*T1^12*T2^7 + 
      34*T1^2*T2^8 + 55*T1^3*T2^8 - 293*T1^4*T2^8 + 298*T1^5*T2^8 - 
      41*T1^6*T2^8 - 627*T1^7*T2^8 - 41*T1^8*T2^8 + 298*T1^9*T2^8 - 
      293*T1^10*T2^8 + 55*T1^11*T2^8 + 34*T1^12*T2^8 - 45*T1^3*T2^9 + 
      55*T1^4*T2^9 + 110*T1^5*T2^9 - 296*T1^6*T2^9 + 298*T1^7*T2^9 + 
      298*T1^8*T2^9 - 296*T1^9*T2^9 + 110*T1^10*T2^9 + 55*T1^11*T2^9 - 
      45*T1^12*T2^9 + 34*T1^4*T2^10 - 91*T1^5*T2^10 + 55*T1^6*T2^10 + 
      110*T1^7*T2^10 - 293*T1^8*T2^10 + 110*T1^9*T2^10 + 55*T1^10*T2^10 - 
      91*T1^11*T2^10 + 34*T1^12*T2^10 - 15*T1^5*T2^11 + 58*T1^6*T2^11 - 
      91*T1^7*T2^11 + 55*T1^8*T2^11 + 55*T1^9*T2^11 - 91*T1^10*T2^11 + 
      58*T1^11*T2^11 - 15*T1^12*T2^11 + 3*T1^6*T2^12 - 15*T1^7*T2^12 + 
      34*T1^8*T2^12 - 45*T1^9*T2^12 + 34*T1^10*T2^12 - 15*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 881] -> 
  {(3 - 5*T + 3*T^2)^2/T^2, (12*(3 - 5*T1 + 3*T1^2)*(3 - 5*T2 + 3*T2^2)*
     (3 - 5*T1*T2 + 3*T1^2*T2^2)*(5 - 8*T1 + 5*T1^2 - 8*T2 + 5*T1*T2 + 
      5*T1^2*T2 - 8*T1^3*T2 + 5*T2^2 + 5*T1*T2^2 - 12*T1^2*T2^2 + 
      5*T1^3*T2^2 + 5*T1^4*T2^2 - 8*T1*T2^3 + 5*T1^2*T2^3 + 5*T1^3*T2^3 - 
      8*T1^4*T2^3 + 5*T1^2*T2^4 - 8*T1^3*T2^4 + 5*T1^4*T2^4))/(T1^4*T2^4)}, 
 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), 
   (3 - 18*T1 + 39*T1^2 - 57*T1^3 + 63*T1^4 - 57*T1^5 + 39*T1^6 - 18*T1^7 + 
     3*T1^8 - 18*T2 + 90*T1*T2 - 122*T1^2*T2 + 101*T1^3*T2 - 32*T1^4*T2 - 
     32*T1^5*T2 + 101*T1^6*T2 - 122*T1^7*T2 + 90*T1^8*T2 - 18*T1^9*T2 + 
     39*T2^2 - 122*T1*T2^2 - 124*T1^2*T2^2 + 462*T1^3*T2^2 - 755*T1^4*T2^2 + 
     808*T1^5*T2^2 - 755*T1^6*T2^2 + 462*T1^7*T2^2 - 124*T1^8*T2^2 - 
     122*T1^9*T2^2 + 39*T1^10*T2^2 - 57*T2^3 + 101*T1*T2^3 + 462*T1^2*T2^3 - 
     668*T1^3*T2^3 + 592*T1^4*T2^3 - 142*T1^5*T2^3 - 142*T1^6*T2^3 + 
     592*T1^7*T2^3 - 668*T1^8*T2^3 + 462*T1^9*T2^3 + 101*T1^10*T2^3 - 
     57*T1^11*T2^3 + 63*T2^4 - 32*T1*T2^4 - 755*T1^2*T2^4 + 592*T1^3*T2^4 - 
     490*T1^4*T2^4 + 221*T1^5*T2^4 - 442*T1^6*T2^4 + 221*T1^7*T2^4 - 
     490*T1^8*T2^4 + 592*T1^9*T2^4 - 755*T1^10*T2^4 - 32*T1^11*T2^4 + 
     63*T1^12*T2^4 - 57*T2^5 - 32*T1*T2^5 + 808*T1^2*T2^5 - 142*T1^3*T2^5 + 
     221*T1^4*T2^5 - 6*T1^5*T2^5 + 272*T1^6*T2^5 + 272*T1^7*T2^5 - 
     6*T1^8*T2^5 + 221*T1^9*T2^5 - 142*T1^10*T2^5 + 808*T1^11*T2^5 - 
     32*T1^12*T2^5 - 57*T1^13*T2^5 + 39*T2^6 + 101*T1*T2^6 - 755*T1^2*T2^6 - 
     142*T1^3*T2^6 - 442*T1^4*T2^6 + 272*T1^5*T2^6 - 608*T1^6*T2^6 + 
     32*T1^7*T2^6 - 608*T1^8*T2^6 + 272*T1^9*T2^6 - 442*T1^10*T2^6 - 
     142*T1^11*T2^6 - 755*T1^12*T2^6 + 101*T1^13*T2^6 + 39*T1^14*T2^6 - 
     18*T2^7 - 122*T1*T2^7 + 462*T1^2*T2^7 + 592*T1^3*T2^7 + 221*T1^4*T2^7 + 
     272*T1^5*T2^7 + 32*T1^6*T2^7 + 424*T1^7*T2^7 + 424*T1^8*T2^7 + 
     32*T1^9*T2^7 + 272*T1^10*T2^7 + 221*T1^11*T2^7 + 592*T1^12*T2^7 + 
     462*T1^13*T2^7 - 122*T1^14*T2^7 - 18*T1^15*T2^7 + 3*T2^8 + 90*T1*T2^8 - 
     124*T1^2*T2^8 - 668*T1^3*T2^8 - 490*T1^4*T2^8 - 6*T1^5*T2^8 - 
     608*T1^6*T2^8 + 424*T1^7*T2^8 - 1224*T1^8*T2^8 + 424*T1^9*T2^8 - 
     608*T1^10*T2^8 - 6*T1^11*T2^8 - 490*T1^12*T2^8 - 668*T1^13*T2^8 - 
     124*T1^14*T2^8 + 90*T1^15*T2^8 + 3*T1^16*T2^8 - 18*T1*T2^9 - 
     122*T1^2*T2^9 + 462*T1^3*T2^9 + 592*T1^4*T2^9 + 221*T1^5*T2^9 + 
     272*T1^6*T2^9 + 32*T1^7*T2^9 + 424*T1^8*T2^9 + 424*T1^9*T2^9 + 
     32*T1^10*T2^9 + 272*T1^11*T2^9 + 221*T1^12*T2^9 + 592*T1^13*T2^9 + 
     462*T1^14*T2^9 - 122*T1^15*T2^9 - 18*T1^16*T2^9 + 39*T1^2*T2^10 + 
     101*T1^3*T2^10 - 755*T1^4*T2^10 - 142*T1^5*T2^10 - 442*T1^6*T2^10 + 
     272*T1^7*T2^10 - 608*T1^8*T2^10 + 32*T1^9*T2^10 - 608*T1^10*T2^10 + 
     272*T1^11*T2^10 - 442*T1^12*T2^10 - 142*T1^13*T2^10 - 755*T1^14*T2^10 + 
     101*T1^15*T2^10 + 39*T1^16*T2^10 - 57*T1^3*T2^11 - 32*T1^4*T2^11 + 
     808*T1^5*T2^11 - 142*T1^6*T2^11 + 221*T1^7*T2^11 - 6*T1^8*T2^11 + 
     272*T1^9*T2^11 + 272*T1^10*T2^11 - 6*T1^11*T2^11 + 221*T1^12*T2^11 - 
     142*T1^13*T2^11 + 808*T1^14*T2^11 - 32*T1^15*T2^11 - 57*T1^16*T2^11 + 
     63*T1^4*T2^12 - 32*T1^5*T2^12 - 755*T1^6*T2^12 + 592*T1^7*T2^12 - 
     490*T1^8*T2^12 + 221*T1^9*T2^12 - 442*T1^10*T2^12 + 221*T1^11*T2^12 - 
     490*T1^12*T2^12 + 592*T1^13*T2^12 - 755*T1^14*T2^12 - 32*T1^15*T2^12 + 
     63*T1^16*T2^12 - 57*T1^5*T2^13 + 101*T1^6*T2^13 + 462*T1^7*T2^13 - 
     668*T1^8*T2^13 + 592*T1^9*T2^13 - 142*T1^10*T2^13 - 142*T1^11*T2^13 + 
     592*T1^12*T2^13 - 668*T1^13*T2^13 + 462*T1^14*T2^13 + 101*T1^15*T2^13 - 
     57*T1^16*T2^13 + 39*T1^6*T2^14 - 122*T1^7*T2^14 - 124*T1^8*T2^14 + 
     462*T1^9*T2^14 - 755*T1^10*T2^14 + 808*T1^11*T2^14 - 755*T1^12*T2^14 + 
     462*T1^13*T2^14 - 124*T1^14*T2^14 - 122*T1^15*T2^14 + 39*T1^16*T2^14 - 
     18*T1^7*T2^15 + 90*T1^8*T2^15 - 122*T1^9*T2^15 + 101*T1^10*T2^15 - 
     32*T1^11*T2^15 - 32*T1^12*T2^15 + 101*T1^13*T2^15 - 122*T1^14*T2^15 + 
     90*T1^15*T2^15 - 18*T1^16*T2^15 + 3*T1^8*T2^16 - 18*T1^9*T2^16 + 
     39*T1^10*T2^16 - 57*T1^11*T2^16 + 63*T1^12*T2^16 - 57*T1^13*T2^16 + 
     39*T1^14*T2^16 - 18*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^8*T2^8)}, 
 Knot[12, NonAlternating, 883] -> 
  {(3 - 12*T + 22*T^2 - 25*T^3 + 22*T^4 - 12*T^5 + 3*T^6)/T^3, 
   (30 - 120*T1 + 217*T1^2 - 244*T1^3 + 217*T1^4 - 120*T1^5 + 30*T1^6 - 
     120*T2 + 358*T1*T2 - 385*T1^2*T2 + 106*T1^3*T2 + 106*T1^4*T2 - 
     385*T1^5*T2 + 358*T1^6*T2 - 120*T1^7*T2 + 217*T2^2 - 385*T1*T2^2 - 
     148*T1^2*T2^2 + 907*T1^3*T2^2 - 876*T1^4*T2^2 + 907*T1^5*T2^2 - 
     148*T1^6*T2^2 - 385*T1^7*T2^2 + 217*T1^8*T2^2 - 244*T2^3 + 106*T1*T2^3 + 
     907*T1^2*T2^3 - 1294*T1^3*T2^3 + 178*T1^4*T2^3 + 178*T1^5*T2^3 - 
     1294*T1^6*T2^3 + 907*T1^7*T2^3 + 106*T1^8*T2^3 - 244*T1^9*T2^3 + 
     217*T2^4 + 106*T1*T2^4 - 876*T1^2*T2^4 + 178*T1^3*T2^4 + 
     1617*T1^4*T2^4 - 1373*T1^5*T2^4 + 1617*T1^6*T2^4 + 178*T1^7*T2^4 - 
     876*T1^8*T2^4 + 106*T1^9*T2^4 + 217*T1^10*T2^4 - 120*T2^5 - 
     385*T1*T2^5 + 907*T1^2*T2^5 + 178*T1^3*T2^5 - 1373*T1^4*T2^5 + 
     92*T1^5*T2^5 + 92*T1^6*T2^5 - 1373*T1^7*T2^5 + 178*T1^8*T2^5 + 
     907*T1^9*T2^5 - 385*T1^10*T2^5 - 120*T1^11*T2^5 + 30*T2^6 + 
     358*T1*T2^6 - 148*T1^2*T2^6 - 1294*T1^3*T2^6 + 1617*T1^4*T2^6 + 
     92*T1^5*T2^6 + 192*T1^6*T2^6 + 92*T1^7*T2^6 + 1617*T1^8*T2^6 - 
     1294*T1^9*T2^6 - 148*T1^10*T2^6 + 358*T1^11*T2^6 + 30*T1^12*T2^6 - 
     120*T1*T2^7 - 385*T1^2*T2^7 + 907*T1^3*T2^7 + 178*T1^4*T2^7 - 
     1373*T1^5*T2^7 + 92*T1^6*T2^7 + 92*T1^7*T2^7 - 1373*T1^8*T2^7 + 
     178*T1^9*T2^7 + 907*T1^10*T2^7 - 385*T1^11*T2^7 - 120*T1^12*T2^7 + 
     217*T1^2*T2^8 + 106*T1^3*T2^8 - 876*T1^4*T2^8 + 178*T1^5*T2^8 + 
     1617*T1^6*T2^8 - 1373*T1^7*T2^8 + 1617*T1^8*T2^8 + 178*T1^9*T2^8 - 
     876*T1^10*T2^8 + 106*T1^11*T2^8 + 217*T1^12*T2^8 - 244*T1^3*T2^9 + 
     106*T1^4*T2^9 + 907*T1^5*T2^9 - 1294*T1^6*T2^9 + 178*T1^7*T2^9 + 
     178*T1^8*T2^9 - 1294*T1^9*T2^9 + 907*T1^10*T2^9 + 106*T1^11*T2^9 - 
     244*T1^12*T2^9 + 217*T1^4*T2^10 - 385*T1^5*T2^10 - 148*T1^6*T2^10 + 
     907*T1^7*T2^10 - 876*T1^8*T2^10 + 907*T1^9*T2^10 - 148*T1^10*T2^10 - 
     385*T1^11*T2^10 + 217*T1^12*T2^10 - 120*T1^5*T2^11 + 358*T1^6*T2^11 - 
     385*T1^7*T2^11 + 106*T1^8*T2^11 + 106*T1^9*T2^11 - 385*T1^10*T2^11 + 
     358*T1^11*T2^11 - 120*T1^12*T2^11 + 30*T1^6*T2^12 - 120*T1^7*T2^12 + 
     217*T1^8*T2^12 - 244*T1^9*T2^12 + 217*T1^10*T2^12 - 120*T1^11*T2^12 + 
     30*T1^12*T2^12)/(T1^6*T2^6)}, Knot[12, NonAlternating, 884] -> 
  {(5 - 20*T + 31*T^2 - 20*T^3 + 5*T^4)/T^2, 
   (40 - 165*T1 + 262*T1^2 - 165*T1^3 + 40*T1^4 - 165*T2 + 510*T1*T2 - 
     400*T1^2*T2 - 400*T1^3*T2 + 510*T1^4*T2 - 165*T1^5*T2 + 262*T2^2 - 
     400*T1*T2^2 - 733*T1^2*T2^2 + 2171*T1^3*T2^2 - 733*T1^4*T2^2 - 
     400*T1^5*T2^2 + 262*T1^6*T2^2 - 165*T2^3 - 400*T1*T2^3 + 
     2171*T1^2*T2^3 - 2064*T1^3*T2^3 - 2064*T1^4*T2^3 + 2171*T1^5*T2^3 - 
     400*T1^6*T2^3 - 165*T1^7*T2^3 + 40*T2^4 + 510*T1*T2^4 - 733*T1^2*T2^4 - 
     2064*T1^3*T2^4 + 5664*T1^4*T2^4 - 2064*T1^5*T2^4 - 733*T1^6*T2^4 + 
     510*T1^7*T2^4 + 40*T1^8*T2^4 - 165*T1*T2^5 - 400*T1^2*T2^5 + 
     2171*T1^3*T2^5 - 2064*T1^4*T2^5 - 2064*T1^5*T2^5 + 2171*T1^6*T2^5 - 
     400*T1^7*T2^5 - 165*T1^8*T2^5 + 262*T1^2*T2^6 - 400*T1^3*T2^6 - 
     733*T1^4*T2^6 + 2171*T1^5*T2^6 - 733*T1^6*T2^6 - 400*T1^7*T2^6 + 
     262*T1^8*T2^6 - 165*T1^3*T2^7 + 510*T1^4*T2^7 - 400*T1^5*T2^7 - 
     400*T1^6*T2^7 + 510*T1^7*T2^7 - 165*T1^8*T2^7 + 40*T1^4*T2^8 - 
     165*T1^5*T2^8 + 262*T1^6*T2^8 - 165*T1^7*T2^8 + 40*T1^8*T2^8)/
    (T1^4*T2^4)}, Knot[12, NonAlternating, 885] -> 
  {-((2 - 13*T + 35*T^2 - 49*T^3 + 35*T^4 - 13*T^5 + 2*T^6)/T^3), 
   -((1 - 6*T1 + 14*T1^2 - 19*T1^3 + 14*T1^4 - 6*T1^5 + T1^6 - 6*T2 + 
      32*T1*T2 - 53*T1^2*T2 + 33*T1^3*T2 + 33*T1^4*T2 - 53*T1^5*T2 + 
      32*T1^6*T2 - 6*T1^7*T2 + 14*T2^2 - 53*T1*T2^2 - 12*T1^2*T2^2 + 
      206*T1^3*T2^2 - 382*T1^4*T2^2 + 206*T1^5*T2^2 - 12*T1^6*T2^2 - 
      53*T1^7*T2^2 + 14*T1^8*T2^2 - 19*T2^3 + 33*T1*T2^3 + 206*T1^2*T2^3 - 
      482*T1^3*T2^3 + 399*T1^4*T2^3 + 399*T1^5*T2^3 - 482*T1^6*T2^3 + 
      206*T1^7*T2^3 + 33*T1^8*T2^3 - 19*T1^9*T2^3 + 14*T2^4 + 33*T1*T2^4 - 
      382*T1^2*T2^4 + 399*T1^3*T2^4 + 252*T1^4*T2^4 - 1328*T1^5*T2^4 + 
      252*T1^6*T2^4 + 399*T1^7*T2^4 - 382*T1^8*T2^4 + 33*T1^9*T2^4 + 
      14*T1^10*T2^4 - 6*T2^5 - 53*T1*T2^5 + 206*T1^2*T2^5 + 399*T1^3*T2^5 - 
      1328*T1^4*T2^5 + 1384*T1^5*T2^5 + 1384*T1^6*T2^5 - 1328*T1^7*T2^5 + 
      399*T1^8*T2^5 + 206*T1^9*T2^5 - 53*T1^10*T2^5 - 6*T1^11*T2^5 + T2^6 + 
      32*T1*T2^6 - 12*T1^2*T2^6 - 482*T1^3*T2^6 + 252*T1^4*T2^6 + 
      1384*T1^5*T2^6 - 3792*T1^6*T2^6 + 1384*T1^7*T2^6 + 252*T1^8*T2^6 - 
      482*T1^9*T2^6 - 12*T1^10*T2^6 + 32*T1^11*T2^6 + T1^12*T2^6 - 
      6*T1*T2^7 - 53*T1^2*T2^7 + 206*T1^3*T2^7 + 399*T1^4*T2^7 - 
      1328*T1^5*T2^7 + 1384*T1^6*T2^7 + 1384*T1^7*T2^7 - 1328*T1^8*T2^7 + 
      399*T1^9*T2^7 + 206*T1^10*T2^7 - 53*T1^11*T2^7 - 6*T1^12*T2^7 + 
      14*T1^2*T2^8 + 33*T1^3*T2^8 - 382*T1^4*T2^8 + 399*T1^5*T2^8 + 
      252*T1^6*T2^8 - 1328*T1^7*T2^8 + 252*T1^8*T2^8 + 399*T1^9*T2^8 - 
      382*T1^10*T2^8 + 33*T1^11*T2^8 + 14*T1^12*T2^8 - 19*T1^3*T2^9 + 
      33*T1^4*T2^9 + 206*T1^5*T2^9 - 482*T1^6*T2^9 + 399*T1^7*T2^9 + 
      399*T1^8*T2^9 - 482*T1^9*T2^9 + 206*T1^10*T2^9 + 33*T1^11*T2^9 - 
      19*T1^12*T2^9 + 14*T1^4*T2^10 - 53*T1^5*T2^10 - 12*T1^6*T2^10 + 
      206*T1^7*T2^10 - 382*T1^8*T2^10 + 206*T1^9*T2^10 - 12*T1^10*T2^10 - 
      53*T1^11*T2^10 + 14*T1^12*T2^10 - 6*T1^5*T2^11 + 32*T1^6*T2^11 - 
      53*T1^7*T2^11 + 33*T1^8*T2^11 + 33*T1^9*T2^11 - 53*T1^10*T2^11 + 
      32*T1^11*T2^11 - 6*T1^12*T2^11 + T1^6*T2^12 - 6*T1^7*T2^12 + 
      14*T1^8*T2^12 - 19*T1^9*T2^12 + 14*T1^10*T2^12 - 6*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^6*T2^6))}, Knot[12, NonAlternating, 886] -> 
  {(2 - 13*T + 38*T^2 - 53*T^3 + 38*T^4 - 13*T^5 + 2*T^6)/T^3, 
   (9 - 57*T1 + 164*T1^2 - 227*T1^3 + 164*T1^4 - 57*T1^5 + 9*T1^6 - 57*T2 + 
     306*T1*T2 - 681*T1^2*T2 + 401*T1^3*T2 + 401*T1^4*T2 - 681*T1^5*T2 + 
     306*T1^6*T2 - 57*T1^7*T2 + 164*T2^2 - 681*T1*T2^2 + 829*T1^2*T2^2 + 
     1545*T1^3*T2^2 - 3343*T1^4*T2^2 + 1545*T1^5*T2^2 + 829*T1^6*T2^2 - 
     681*T1^7*T2^2 + 164*T1^8*T2^2 - 227*T2^3 + 401*T1*T2^3 + 
     1545*T1^2*T2^3 - 7186*T1^3*T2^3 + 4792*T1^4*T2^3 + 4792*T1^5*T2^3 - 
     7186*T1^6*T2^3 + 1545*T1^7*T2^3 + 401*T1^8*T2^3 - 227*T1^9*T2^3 + 
     164*T2^4 + 401*T1*T2^4 - 3343*T1^2*T2^4 + 4792*T1^3*T2^4 + 
     12496*T1^4*T2^4 - 25750*T1^5*T2^4 + 12496*T1^6*T2^4 + 4792*T1^7*T2^4 - 
     3343*T1^8*T2^4 + 401*T1^9*T2^4 + 164*T1^10*T2^4 - 57*T2^5 - 
     681*T1*T2^5 + 1545*T1^2*T2^5 + 4792*T1^3*T2^5 - 25750*T1^4*T2^5 + 
     17412*T1^5*T2^5 + 17412*T1^6*T2^5 - 25750*T1^7*T2^5 + 4792*T1^8*T2^5 + 
     1545*T1^9*T2^5 - 681*T1^10*T2^5 - 57*T1^11*T2^5 + 9*T2^6 + 306*T1*T2^6 + 
     829*T1^2*T2^6 - 7186*T1^3*T2^6 + 12496*T1^4*T2^6 + 17412*T1^5*T2^6 - 
     41244*T1^6*T2^6 + 17412*T1^7*T2^6 + 12496*T1^8*T2^6 - 7186*T1^9*T2^6 + 
     829*T1^10*T2^6 + 306*T1^11*T2^6 + 9*T1^12*T2^6 - 57*T1*T2^7 - 
     681*T1^2*T2^7 + 1545*T1^3*T2^7 + 4792*T1^4*T2^7 - 25750*T1^5*T2^7 + 
     17412*T1^6*T2^7 + 17412*T1^7*T2^7 - 25750*T1^8*T2^7 + 4792*T1^9*T2^7 + 
     1545*T1^10*T2^7 - 681*T1^11*T2^7 - 57*T1^12*T2^7 + 164*T1^2*T2^8 + 
     401*T1^3*T2^8 - 3343*T1^4*T2^8 + 4792*T1^5*T2^8 + 12496*T1^6*T2^8 - 
     25750*T1^7*T2^8 + 12496*T1^8*T2^8 + 4792*T1^9*T2^8 - 3343*T1^10*T2^8 + 
     401*T1^11*T2^8 + 164*T1^12*T2^8 - 227*T1^3*T2^9 + 401*T1^4*T2^9 + 
     1545*T1^5*T2^9 - 7186*T1^6*T2^9 + 4792*T1^7*T2^9 + 4792*T1^8*T2^9 - 
     7186*T1^9*T2^9 + 1545*T1^10*T2^9 + 401*T1^11*T2^9 - 227*T1^12*T2^9 + 
     164*T1^4*T2^10 - 681*T1^5*T2^10 + 829*T1^6*T2^10 + 1545*T1^7*T2^10 - 
     3343*T1^8*T2^10 + 1545*T1^9*T2^10 + 829*T1^10*T2^10 - 681*T1^11*T2^10 + 
     164*T1^12*T2^10 - 57*T1^5*T2^11 + 306*T1^6*T2^11 - 681*T1^7*T2^11 + 
     401*T1^8*T2^11 + 401*T1^9*T2^11 - 681*T1^10*T2^11 + 306*T1^11*T2^11 - 
     57*T1^12*T2^11 + 9*T1^6*T2^12 - 57*T1^7*T2^12 + 164*T1^8*T2^12 - 
     227*T1^9*T2^12 + 164*T1^10*T2^12 - 57*T1^11*T2^12 + 9*T1^12*T2^12)/
    (T1^6*T2^6)}, 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, 
   (2 - 12*T1 + 32*T1^2 - 50*T1^3 + 58*T1^4 - 50*T1^5 + 32*T1^6 - 12*T1^7 + 
     2*T1^8 - 12*T2 + 60*T1*T2 - 120*T1^2*T2 + 108*T1^3*T2 - 48*T1^4*T2 - 
     48*T1^5*T2 + 108*T1^6*T2 - 120*T1^7*T2 + 60*T1^8*T2 - 12*T1^9*T2 + 
     32*T2^2 - 120*T1*T2^2 + 115*T1^2*T2^2 + 148*T1^3*T2^2 - 331*T1^4*T2^2 + 
     451*T1^5*T2^2 - 331*T1^6*T2^2 + 148*T1^7*T2^2 + 115*T1^8*T2^2 - 
     120*T1^9*T2^2 + 32*T1^10*T2^2 - 50*T2^3 + 108*T1*T2^3 + 148*T1^2*T2^3 - 
     682*T1^3*T2^3 + 511*T1^4*T2^3 - 285*T1^5*T2^3 - 285*T1^6*T2^3 + 
     511*T1^7*T2^3 - 682*T1^8*T2^3 + 148*T1^9*T2^3 + 108*T1^10*T2^3 - 
     50*T1^11*T2^3 + 58*T2^4 - 48*T1*T2^4 - 331*T1^2*T2^4 + 511*T1^3*T2^4 + 
     741*T1^4*T2^4 - 1179*T1^5*T2^4 + 1757*T1^6*T2^4 - 1179*T1^7*T2^4 + 
     741*T1^8*T2^4 + 511*T1^9*T2^4 - 331*T1^10*T2^4 - 48*T1^11*T2^4 + 
     58*T1^12*T2^4 - 50*T2^5 - 48*T1*T2^5 + 451*T1^2*T2^5 - 285*T1^3*T2^5 - 
     1179*T1^4*T2^5 + 490*T1^5*T2^5 - 590*T1^6*T2^5 - 590*T1^7*T2^5 + 
     490*T1^8*T2^5 - 1179*T1^9*T2^5 - 285*T1^10*T2^5 + 451*T1^11*T2^5 - 
     48*T1^12*T2^5 - 50*T1^13*T2^5 + 32*T2^6 + 108*T1*T2^6 - 331*T1^2*T2^6 - 
     285*T1^3*T2^6 + 1757*T1^4*T2^6 - 590*T1^5*T2^6 + 1490*T1^6*T2^6 - 
     620*T1^7*T2^6 + 1490*T1^8*T2^6 - 590*T1^9*T2^6 + 1757*T1^10*T2^6 - 
     285*T1^11*T2^6 - 331*T1^12*T2^6 + 108*T1^13*T2^6 + 32*T1^14*T2^6 - 
     12*T2^7 - 120*T1*T2^7 + 148*T1^2*T2^7 + 511*T1^3*T2^7 - 1179*T1^4*T2^7 - 
     590*T1^5*T2^7 - 620*T1^6*T2^7 - 540*T1^7*T2^7 - 540*T1^8*T2^7 - 
     620*T1^9*T2^7 - 590*T1^10*T2^7 - 1179*T1^11*T2^7 + 511*T1^12*T2^7 + 
     148*T1^13*T2^7 - 120*T1^14*T2^7 - 12*T1^15*T2^7 + 2*T2^8 + 60*T1*T2^8 + 
     115*T1^2*T2^8 - 682*T1^3*T2^8 + 741*T1^4*T2^8 + 490*T1^5*T2^8 + 
     1490*T1^6*T2^8 - 540*T1^7*T2^8 + 1860*T1^8*T2^8 - 540*T1^9*T2^8 + 
     1490*T1^10*T2^8 + 490*T1^11*T2^8 + 741*T1^12*T2^8 - 682*T1^13*T2^8 + 
     115*T1^14*T2^8 + 60*T1^15*T2^8 + 2*T1^16*T2^8 - 12*T1*T2^9 - 
     120*T1^2*T2^9 + 148*T1^3*T2^9 + 511*T1^4*T2^9 - 1179*T1^5*T2^9 - 
     590*T1^6*T2^9 - 620*T1^7*T2^9 - 540*T1^8*T2^9 - 540*T1^9*T2^9 - 
     620*T1^10*T2^9 - 590*T1^11*T2^9 - 1179*T1^12*T2^9 + 511*T1^13*T2^9 + 
     148*T1^14*T2^9 - 120*T1^15*T2^9 - 12*T1^16*T2^9 + 32*T1^2*T2^10 + 
     108*T1^3*T2^10 - 331*T1^4*T2^10 - 285*T1^5*T2^10 + 1757*T1^6*T2^10 - 
     590*T1^7*T2^10 + 1490*T1^8*T2^10 - 620*T1^9*T2^10 + 1490*T1^10*T2^10 - 
     590*T1^11*T2^10 + 1757*T1^12*T2^10 - 285*T1^13*T2^10 - 331*T1^14*T2^10 + 
     108*T1^15*T2^10 + 32*T1^16*T2^10 - 50*T1^3*T2^11 - 48*T1^4*T2^11 + 
     451*T1^5*T2^11 - 285*T1^6*T2^11 - 1179*T1^7*T2^11 + 490*T1^8*T2^11 - 
     590*T1^9*T2^11 - 590*T1^10*T2^11 + 490*T1^11*T2^11 - 1179*T1^12*T2^11 - 
     285*T1^13*T2^11 + 451*T1^14*T2^11 - 48*T1^15*T2^11 - 50*T1^16*T2^11 + 
     58*T1^4*T2^12 - 48*T1^5*T2^12 - 331*T1^6*T2^12 + 511*T1^7*T2^12 + 
     741*T1^8*T2^12 - 1179*T1^9*T2^12 + 1757*T1^10*T2^12 - 1179*T1^11*T2^12 + 
     741*T1^12*T2^12 + 511*T1^13*T2^12 - 331*T1^14*T2^12 - 48*T1^15*T2^12 + 
     58*T1^16*T2^12 - 50*T1^5*T2^13 + 108*T1^6*T2^13 + 148*T1^7*T2^13 - 
     682*T1^8*T2^13 + 511*T1^9*T2^13 - 285*T1^10*T2^13 - 285*T1^11*T2^13 + 
     511*T1^12*T2^13 - 682*T1^13*T2^13 + 148*T1^14*T2^13 + 108*T1^15*T2^13 - 
     50*T1^16*T2^13 + 32*T1^6*T2^14 - 120*T1^7*T2^14 + 115*T1^8*T2^14 + 
     148*T1^9*T2^14 - 331*T1^10*T2^14 + 451*T1^11*T2^14 - 331*T1^12*T2^14 + 
     148*T1^13*T2^14 + 115*T1^14*T2^14 - 120*T1^15*T2^14 + 32*T1^16*T2^14 - 
     12*T1^7*T2^15 + 60*T1^8*T2^15 - 120*T1^9*T2^15 + 108*T1^10*T2^15 - 
     48*T1^11*T2^15 - 48*T1^12*T2^15 + 108*T1^13*T2^15 - 120*T1^14*T2^15 + 
     60*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)/(T1^8*T2^8)}, 
 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)*
     (5 - 10*T1^2 + 20*T1^3 - 25*T1^4 + 20*T1^5 - 10*T1^6 + 5*T1^8 - 
      10*T2^2 + 11*T1^2*T2^2 - 39*T1^3*T2^2 + 64*T1^4*T2^2 - 71*T1^5*T2^2 + 
      64*T1^6*T2^2 - 39*T1^7*T2^2 + 11*T1^8*T2^2 - 10*T1^10*T2^2 + 20*T2^3 - 
      39*T1^2*T2^3 + 78*T1^3*T2^3 - 75*T1^4*T2^3 + 31*T1^5*T2^3 + 
      31*T1^6*T2^3 - 75*T1^7*T2^3 + 78*T1^8*T2^3 - 39*T1^9*T2^3 + 
      20*T1^11*T2^3 - 25*T2^4 + 64*T1^2*T2^4 - 75*T1^3*T2^4 + 49*T1^4*T2^4 - 
      14*T1^5*T2^4 - 13*T1^6*T2^4 - 14*T1^7*T2^4 + 49*T1^8*T2^4 - 
      75*T1^9*T2^4 + 64*T1^10*T2^4 - 25*T1^12*T2^4 + 20*T2^5 - 71*T1^2*T2^5 + 
      31*T1^3*T2^5 - 14*T1^4*T2^5 + 13*T1^6*T2^5 + 13*T1^7*T2^5 - 
      14*T1^9*T2^5 + 31*T1^10*T2^5 - 71*T1^11*T2^5 + 20*T1^13*T2^5 - 
      10*T2^6 + 64*T1^2*T2^6 + 31*T1^3*T2^6 - 13*T1^4*T2^6 + 13*T1^5*T2^6 - 
      16*T1^6*T2^6 - 4*T1^7*T2^6 - 16*T1^8*T2^6 + 13*T1^9*T2^6 - 
      13*T1^10*T2^6 + 31*T1^11*T2^6 + 64*T1^12*T2^6 - 10*T1^14*T2^6 - 
      39*T1^2*T2^7 - 75*T1^3*T2^7 - 14*T1^4*T2^7 + 13*T1^5*T2^7 - 
      4*T1^6*T2^7 + 10*T1^7*T2^7 + 10*T1^8*T2^7 - 4*T1^9*T2^7 + 
      13*T1^10*T2^7 - 14*T1^11*T2^7 - 75*T1^12*T2^7 - 39*T1^13*T2^7 + 
      5*T2^8 + 11*T1^2*T2^8 + 78*T1^3*T2^8 + 49*T1^4*T2^8 - 16*T1^6*T2^8 + 
      10*T1^7*T2^8 - 24*T1^8*T2^8 + 10*T1^9*T2^8 - 16*T1^10*T2^8 + 
      49*T1^12*T2^8 + 78*T1^13*T2^8 + 11*T1^14*T2^8 + 5*T1^16*T2^8 - 
      39*T1^3*T2^9 - 75*T1^4*T2^9 - 14*T1^5*T2^9 + 13*T1^6*T2^9 - 
      4*T1^7*T2^9 + 10*T1^8*T2^9 + 10*T1^9*T2^9 - 4*T1^10*T2^9 + 
      13*T1^11*T2^9 - 14*T1^12*T2^9 - 75*T1^13*T2^9 - 39*T1^14*T2^9 - 
      10*T1^2*T2^10 + 64*T1^4*T2^10 + 31*T1^5*T2^10 - 13*T1^6*T2^10 + 
      13*T1^7*T2^10 - 16*T1^8*T2^10 - 4*T1^9*T2^10 - 16*T1^10*T2^10 + 
      13*T1^11*T2^10 - 13*T1^12*T2^10 + 31*T1^13*T2^10 + 64*T1^14*T2^10 - 
      10*T1^16*T2^10 + 20*T1^3*T2^11 - 71*T1^5*T2^11 + 31*T1^6*T2^11 - 
      14*T1^7*T2^11 + 13*T1^9*T2^11 + 13*T1^10*T2^11 - 14*T1^12*T2^11 + 
      31*T1^13*T2^11 - 71*T1^14*T2^11 + 20*T1^16*T2^11 - 25*T1^4*T2^12 + 
      64*T1^6*T2^12 - 75*T1^7*T2^12 + 49*T1^8*T2^12 - 14*T1^9*T2^12 - 
      13*T1^10*T2^12 - 14*T1^11*T2^12 + 49*T1^12*T2^12 - 75*T1^13*T2^12 + 
      64*T1^14*T2^12 - 25*T1^16*T2^12 + 20*T1^5*T2^13 - 39*T1^7*T2^13 + 
      78*T1^8*T2^13 - 75*T1^9*T2^13 + 31*T1^10*T2^13 + 31*T1^11*T2^13 - 
      75*T1^12*T2^13 + 78*T1^13*T2^13 - 39*T1^14*T2^13 + 20*T1^16*T2^13 - 
      10*T1^6*T2^14 + 11*T1^8*T2^14 - 39*T1^9*T2^14 + 64*T1^10*T2^14 - 
      71*T1^11*T2^14 + 64*T1^12*T2^14 - 39*T1^13*T2^14 + 11*T1^14*T2^14 - 
      10*T1^16*T2^14 + 5*T1^8*T2^16 - 10*T1^10*T2^16 + 20*T1^11*T2^16 - 
      25*T1^12*T2^16 + 20*T1^13*T2^16 - 10*T1^14*T2^16 + 5*T1^16*T2^16))/
    (T1^10*T2^10)}}
