Generated 7/18/04 2-cocycle twisted invariants Z_3[t,t^(-1)]/(t^3+t^2+1) 6 element quandles [0 0 0 0 0 0] [ ] [1 1 1 1 1 1] [ ] [2 2 2 2 2 2] [ ] [3 3 3 3 5 4] [ ] [4 4 4 5 4 3] [ ] [5 5 5 4 3 5] Knot, 1 [[12, 0]] Knot, 2 [[6, 0]] Knot, 3 [[6, 0]] Knot, 4 [[6, 0]] Knot, 5 2 [[6, 0], [6, (x[10] + x[14]) t + (x[10] + x[14]) t + x[10] + x[14]]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 2 [[6, 0], [6, (x[14] + x[10]) t + 2 x[10] + 2 x[14]]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0], [6, (x[14] + x[10]) t + 2 x[10] + 2 x[14]]] Knot, 15 [[6, 0]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0]] Knot, 19 [[12, 0]] Knot, 20 [[6, 0]] Knot, 21 [[6, 0]] Knot, 22 [[6, 0]] Knot, 23 [[6, 0]] Knot, 24 [[12, 0]] Knot, 25 2 [[6, 0], [6, (x[14] + x[10]) t + 2 x[14] + 2 x[10]]] Knot, 26 [[6, 0]] Knot, 27 [[6, 0]] Knot, 28 [[6, 0]] Knot, 29 [[12, 0]] Knot, 30 [[6, 0]] Knot, 31 [[6, 0]] Knot, 32 2 [[6, 0], [12, (x[14] + x[10]) t + (2 x[10] + 2 x[14]) t], 2 [12, (2 x[10] + 2 x[14]) t + (x[14] + x[10]) t]] Knot, 33 [[12, 0]] Knot, 34 [[12, 0]] Knot, 35 [[12, 0]] [0 0 0 0 0 0] [ ] [1 1 1 2 2 2] [ ] [2 2 2 1 1 1] [ ] [3 3 3 3 5 4] [ ] [4 4 4 5 4 3] [ ] [5 5 5 4 3 5] Knot, 1 [[12, 0]] Knot, 2 [[6, 0]] Knot, 3 [[6, 0]] Knot, 4 [[6, 0]] Knot, 5 2 [[6, 0], [6, (x[7] + x[3]) t + (x[7] + x[3]) t + x[7] + x[3]]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 2 [[6, 0], [6, (x[3] + x[7]) t + 2 x[7] + 2 x[3]]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0], [6, (x[3] + x[7]) t + 2 x[7] + 2 x[3]]] Knot, 15 [[6, 0]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0]] Knot, 19 [[12, 0]] Knot, 20 [[6, 0]] Knot, 21 [[6, 0]] Knot, 22 [[6, 0]] Knot, 23 [[6, 0]] Knot, 24 [[12, 0]] Knot, 25 2 [[6, 0], [6, (x[3] + x[7]) t + 2 x[3] + 2 x[7]]] Knot, 26 [[6, 0]] Knot, 27 [[6, 0]] Knot, 28 [[6, 0]] Knot, 29 [[12, 0]] Knot, 30 [[6, 0]] Knot, 31 [[6, 0]] Knot, 32 2 [[6, 0], [12, (2 x[7] + 2 x[3]) t + (x[3] + x[7]) t], 2 [12, (x[3] + x[7]) t + (2 x[7] + 2 x[3]) t]] Knot, 33 [[12, 0]] Knot, 34 [[12, 0]] Knot, 35 [[12, 0]] [0 0 0 0 1 2] [ ] [1 1 1 2 0 1] [ ] [2 2 2 1 2 0] [ ] [3 3 3 3 5 4] [ ] [4 4 4 5 4 3] [ ] [5 5 5 4 3 5] Knot, 1 [[12, 0]] Knot, 2 [[6, 0]] Knot, 3 [[6, 0]] Knot, 4 [[6, 0]] Knot, 5 2 [[6, 0], [6, (x[6] + x[3]) t + (x[6] + x[3]) t + x[6] + x[3]]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 2 [[6, 0], [6, (x[3] + x[6]) t + 2 x[6] + 2 x[3]]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0], [6, (x[3] + x[6]) t + 2 x[6] + 2 x[3]]] Knot, 15 [[6, 0]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0]] Knot, 19 [[12, 0]] Knot, 20 [[6, 0]] Knot, 21 [[6, 0]] Knot, 22 [[6, 0]] Knot, 23 [[6, 0]] Knot, 24 [[12, 0]] Knot, 25 2 [[6, 0], [6, (x[3] + x[6]) t + 2 x[3] + 2 x[6]]] Knot, 26 [[6, 0]] Knot, 27 [[6, 0]] Knot, 28 [[6, 0]] Knot, 29 [[12, 0]] Knot, 30 [[6, 0]] Knot, 31 [[6, 0]] Knot, 32 2 [[6, 0], [12, (2 x[6] + 2 x[3]) t + (x[3] + x[6]) t], 2 [12, (x[3] + x[6]) t + (2 x[6] + 2 x[3]) t]] Knot, 33 [[12, 0]] Knot, 34 [[12, 0]] Knot, 35 [[12, 0]] [0 0 0 1 1 1] [ ] [1 1 1 2 2 2] [ ] [2 2 2 0 0 0] [ ] [3 3 3 3 5 4] [ ] [4 4 4 5 4 3] [ ] [5 5 5 4 3 5] Knot, 1 [[12, 0]] Knot, 2 [[6, 0]] Knot, 3 [[6, 0]] Knot, 4 [[6, 0]] Knot, 5 2 [[6, 0], [6, (x[6] + x[2]) t + (x[6] + x[2]) t + x[6] + x[2]]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 2 [[6, 0], [6, (x[2] + x[6]) t + 2 x[6] + 2 x[2]]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0], [6, (x[2] + x[6]) t + 2 x[6] + 2 x[2]]] Knot, 15 [[6, 0]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0]] Knot, 19 [[12, 0]] Knot, 20 [[6, 0]] Knot, 21 [[6, 0]] Knot, 22 [[6, 0]] Knot, 23 [[6, 0]] Knot, 24 [[12, 0]] Knot, 25 2 [[6, 0], [6, (x[2] + x[6]) t + 2 x[2] + 2 x[6]]] Knot, 26 [[6, 0]] Knot, 27 [[6, 0]] Knot, 28 [[6, 0]] Knot, 29 [[12, 0]] Knot, 30 [[6, 0]] Knot, 31 [[6, 0]] Knot, 32 2 [[6, 0], [12, (x[2] + x[6]) t + (2 x[6] + 2 x[2]) t], 2 [12, (2 x[6] + 2 x[2]) t + (x[2] + x[6]) t]] Knot, 33 [[12, 0]] Knot, 34 [[12, 0]] Knot, 35 [[12, 0]] [0 0 0 0 0 0] [ ] [1 1 1 1 1 1] [ ] [2 2 2 2 3 3] [ ] [3 3 3 3 2 2] [ ] [4 4 5 5 4 4] [ ] [5 5 4 4 5 5] Knot, 1 [[6, 0]] Knot, 2 [[6, 0]] Knot, 3 [[6, 0]] Knot, 4 [[6, 0]] Knot, 5 [[6, 0]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 [[6, 0]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0]] Knot, 15 [[6, 0]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0]] Knot, 19 [[6, 0]] Knot, 20 [[6, 0]] Knot, 21 [[6, 0]] Knot, 22 [[6, 0]] Knot, 23 [[6, 0]] Knot, 24 [[6, 0]] Knot, 25 [[6, 0]] Knot, 26 [[6, 0]] Knot, 27 [[6, 0]] Knot, 28 [[6, 0]] Knot, 29 [[6, 0]] Knot, 30 [[6, 0]] Knot, 31 [[6, 0]] Knot, 32 [[6, 0]] Knot, 33 [[6, 0]] Knot, 34 [[6, 0]] Knot, 35 [[6, 0]] [0 0 0 0 1 1] [ ] [1 1 1 1 0 0] [ ] [2 2 2 2 3 3] [ ] [3 3 3 3 2 2] [ ] [4 4 5 5 4 4] [ ] [5 5 4 4 5 5] Knot, 1 [[6, 0]] Knot, 2 [[6, 0]] Knot, 3 [[6, 0]] Knot, 4 [[6, 0]] Knot, 5 [[6, 0]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 [[6, 0]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0]] Knot, 15 [[6, 0]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0]] Knot, 19 [[6, 0]] Knot, 20 [[6, 0]] Knot, 21 [[6, 0]] Knot, 22 [[6, 0]] Knot, 23 [[6, 0]] Knot, 24 [[6, 0]] Knot, 25 [[6, 0]] Knot, 26 [[6, 0]] Knot, 27 [[6, 0]] Knot, 28 [[6, 0]] Knot, 29 [[6, 0]] Knot, 30 [[6, 0]] Knot, 31 [[6, 0]] Knot, 32 [[6, 0]] Knot, 33 [[6, 0]] Knot, 34 [[6, 0]] Knot, 35 [[6, 0]] [0 0 0 1 0 0] [ ] [1 1 1 0 1 1] [ ] [2 2 2 2 5 4] [ ] [3 3 3 3 3 3] [ ] [4 4 5 4 4 2] [ ] [5 5 4 5 2 5] Knot, 1 [[12, 0]] Knot, 2 [[6, 0]] Knot, 3 [[6, 0]] Knot, 4 [[6, 0]] Knot, 5 2 [[6, 0], [6, (x[5] + x[2]) t + (x[5] + x[2]) t + x[5] + x[2]]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 2 [[6, 0], [6, (x[2] + x[5]) t + 2 x[5] + 2 x[2]]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0], [6, (x[2] + x[5]) t + 2 x[5] + 2 x[2]]] Knot, 15 [[6, 0]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0]] Knot, 19 [[12, 0]] Knot, 20 [[6, 0]] Knot, 21 [[6, 0]] Knot, 22 [[6, 0]] Knot, 23 [[6, 0]] Knot, 24 [[12, 0]] Knot, 25 2 [[6, 0], [6, (x[2] + x[5]) t + 2 x[2] + 2 x[5]]] Knot, 26 [[6, 0]] Knot, 27 [[6, 0]] Knot, 28 [[6, 0]] Knot, 29 [[12, 0]] Knot, 30 [[6, 0]] Knot, 31 [[6, 0]] Knot, 32 2 [[6, 0], [12, (x[2] + x[5]) t + (2 x[5] + 2 x[2]) t], 2 [12, (2 x[5] + 2 x[2]) t + (x[2] + x[5]) t]] Knot, 33 [[12, 0]] Knot, 34 [[12, 0]] Knot, 35 [[12, 0]] [0 0 0 0 0 0] [ ] [1 1 1 1 1 1] [ ] [2 2 2 5 3 4] [ ] [3 3 4 3 5 2] [ ] [4 4 5 2 4 3] [ ] [5 5 3 4 2 5] Knot, 1 [[18, 0]] Knot, 2 2 [[6, 0], [2, (2 x[8] + 2 x[1] + x[9]) t + (x[1] + x[8] + 2 x[9]) t], 2 [2, (x[1] + 2 x[9]) t + (2 x[1] + x[9]) t], 2 [2, (x[9] + x[1]) t + (2 x[9] + 2 x[1]) t], 2 [2, (2 x[1] + x[9]) t + (x[1] + 2 x[9]) t], 2 [2, (x[1] + x[8] + 2 x[9]) t + (2 x[8] + 2 x[1] + x[9]) t], 2 [2, (2 x[9] + 2 x[1]) t + (x[9] + x[1]) t]] Knot, 3 [[6, 0]] Knot, 4 [[6, 0]] Knot, 5 [[6, 0]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 2 [[6, 0], [2, (x[8] + x[1] + 2 x[9]) t + (2 x[8] + x[9] + 2 x[1]) t], 2 [2, (x[1] + x[9]) t + (2 x[9] + 2 x[1]) t], 2 [2, (2 x[8] + x[9] + 2 x[1]) t + (x[8] + x[1] + 2 x[9]) t], 2 [2, (2 x[1] + x[9]) t + (x[1] + 2 x[9]) t], 2 [2, (2 x[9] + 2 x[1]) t + (x[1] + x[9]) t], 2 [2, (x[1] + 2 x[9]) t + (2 x[1] + x[9]) t]] Knot, 10 2 [[6, 0], [2, (x[8] + x[1] + 2 x[9]) t + (2 x[8] + x[9] + 2 x[1]) t], 2 [2, (x[1] + x[9]) t + (2 x[9] + 2 x[1]) t], 2 [2, (2 x[8] + x[9] + 2 x[1]) t + (x[8] + x[1] + 2 x[9]) t], 2 [2, (2 x[1] + x[9]) t + (x[1] + 2 x[9]) t], 2 [2, (2 x[9] + 2 x[1]) t + (x[1] + x[9]) t], 2 [2, (x[1] + 2 x[9]) t + (2 x[1] + x[9]) t]] Knot, 11 [[6, 0]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0]] Knot, 15 2 [[6, 0], [2, (2 x[1] + x[9]) t + x[1] + 2 x[9]], 2 [2, (x[1] + 2 x[9]) t + 2 x[1] + x[9]], 2 [2, (2 x[1] + 2 x[8] + x[9]) t + 2 x[9] + x[1] + x[8]], 2 [2, (2 x[1] + 2 x[9]) t + x[9] + x[1]], 2 [2, (x[9] + x[1]) t + 2 x[9] + 2 x[1]], 2 [2, (x[8] + 2 x[9] + x[1]) t + 2 x[1] + 2 x[8] + x[9]]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0], [2, (2 x[9] + 2 x[1]) t + x[1] + x[9]], [2, (x[1] + x[8] + 2 x[9]) t + 2 x[8] + x[9] + 2 x[1]], [2, (2 x[8] + x[9] + 2 x[1]) t + 2 x[9] + x[1] + x[8]], [2, (2 x[1] + x[9]) t + x[1] + 2 x[9]], [2, (x[1] + 2 x[9]) t + 2 x[1] + x[9]], [2, (x[1] + x[9]) t + 2 x[9] + 2 x[1]]] Knot, 19 [[18, 0]] Knot, 20 [[6, 0]] Knot, 21 [[6, 0]] Knot, 22 [[6, 0]] Knot, 23 [[6, 0]] Knot, 24 [[18, 0]] Knot, 25 2 [[6, 0], [2, (2 x[1] + 2 x[8] + x[9]) t + x[8] + 2 x[9] + x[1]], 2 [2, (x[8] + 2 x[9] + x[1]) t + x[9] + 2 x[1] + 2 x[8]], 2 [2, (2 x[1] + x[9]) t + 2 x[9] + x[1]], 2 [2, (x[1] + 2 x[9]) t + 2 x[1] + x[9]], 2 [2, (x[9] + x[1]) t + 2 x[1] + 2 x[9]], 2 [2, (2 x[1] + 2 x[9]) t + x[1] + x[9]]] Knot, 26 [[6, 0]] Knot, 27 2 [[6, 0], [2, (x[9] + 2 x[1]) t + (x[1] + 2 x[9]) t], 2 [2, (2 x[8] + 2 x[1] + x[9]) t + (x[1] + x[8] + 2 x[9]) t], 2 [2, (x[1] + x[8] + 2 x[9]) t + (2 x[8] + 2 x[1] + x[9]) t], 2 [2, (x[1] + 2 x[9]) t + (x[9] + 2 x[1]) t], 2 [2, (x[9] + x[1]) t + (2 x[9] + 2 x[1]) t], 2 [2, (2 x[9] + 2 x[1]) t + (x[9] + x[1]) t]] Knot, 28 [[6, 0]] Knot, 29 [[18, 0]] Knot, 30 [[6, 0]] Knot, 31 [[6, 0]] Knot, 32 2 [[6, 0], [10, (2 x[1] + 2 x[9]) t + (x[1] + x[9]) t], 2 [10, (2 x[9] + x[1]) t + (x[9] + 2 x[1]) t], 2 [10, (2 x[8] + 2 x[1] + x[9]) t + (x[8] + x[1] + 2 x[9]) t], 2 [10, (x[9] + 2 x[1]) t + (2 x[9] + x[1]) t], 2 [10, (x[1] + x[9]) t + (2 x[1] + 2 x[9]) t], 2 [10, (x[8] + x[1] + 2 x[9]) t + (2 x[8] + 2 x[1] + x[9]) t]] Knot, 33 [[18, 0]] Knot, 34 [[18, 0]] Knot, 35 [[18, 0]] [0 0 1 1 1 1] [ ] [1 1 0 0 0 0] [ ] [2 2 2 2 2 2] [ ] [3 3 3 3 5 4] [ ] [4 4 4 5 4 3] [ ] [5 5 5 4 3 5] Knot, 1 [[12, 0]] Knot, 2 [[6, 0]] Knot, 3 [[6, 0]] Knot, 4 [[6, 0]] Knot, 5 2 [[6, 0], [6, (x[9] + x[5]) t + (x[9] + x[5]) t + x[9] + x[5]]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 2 [[6, 0], [6, (x[5] + x[9]) t + 2 x[9] + 2 x[5]]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0], [6, (x[5] + x[9]) t + 2 x[9] + 2 x[5]]] Knot, 15 [[6, 0]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0]] Knot, 19 [[12, 0]] Knot, 20 [[6, 0]] Knot, 21 [[6, 0]] Knot, 22 [[6, 0]] Knot, 23 [[6, 0]] Knot, 24 [[12, 0]] Knot, 25 2 [[6, 0], [6, (x[5] + x[9]) t + 2 x[5] + 2 x[9]]] Knot, 26 [[6, 0]] Knot, 27 [[6, 0]] Knot, 28 [[6, 0]] Knot, 29 [[12, 0]] Knot, 30 [[6, 0]] Knot, 31 [[6, 0]] Knot, 32 2 [[6, 0], [12, (2 x[9] + 2 x[5]) t + (x[5] + x[9]) t], 2 [12, (x[5] + x[9]) t + (2 x[9] + 2 x[5]) t]] Knot, 33 [[12, 0]] Knot, 34 [[12, 0]] Knot, 35 [[12, 0]] [0 0 1 1 1 1] [ ] [1 1 0 0 0 0] [ ] [2 2 2 2 3 3] [ ] [3 3 3 3 2 2] [ ] [4 4 5 5 4 4] [ ] [5 5 4 4 5 5] Knot, 1 [[6, 0]] Knot, 2 [[6, 0]] Knot, 3 [[6, 0]] Knot, 4 [[6, 0]] Knot, 5 [[6, 0]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 [[6, 0]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0]] Knot, 15 [[6, 0]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0]] Knot, 19 [[6, 0]] Knot, 20 [[6, 0]] Knot, 21 [[6, 0]] Knot, 22 [[6, 0]] Knot, 23 [[6, 0]] Knot, 24 [[6, 0]] Knot, 25 [[6, 0]] Knot, 26 [[6, 0]] Knot, 27 [[6, 0]] Knot, 28 [[6, 0]] Knot, 29 [[6, 0]] Knot, 30 [[6, 0]] Knot, 31 [[6, 0]] Knot, 32 [[6, 0]] Knot, 33 [[6, 0]] Knot, 34 [[6, 0]] Knot, 35 [[6, 0]] [0 0 1 1 1 1] [ ] [1 1 0 0 0 0] [ ] [2 2 2 5 3 4] [ ] [3 3 4 3 5 2] [ ] [4 4 5 2 4 3] [ ] [5 5 3 4 2 5] Knot, 1 [[18, 0]] Knot, 2 2 [[6, 0], [2, (2 x[5] + x[1]) t + (x[5] + 2 x[1]) t], 2 [2, (x[5] + x[2] + 2 x[1]) t + (2 x[2] + 2 x[5] + x[1]) t], 2 [2, (2 x[1] + 2 x[5]) t + (x[1] + x[5]) t], 2 [2, (x[1] + x[5]) t + (2 x[1] + 2 x[5]) t], 2 [2, (x[5] + 2 x[1]) t + (2 x[5] + x[1]) t], 2 [2, (2 x[2] + 2 x[5] + x[1]) t + (x[5] + x[2] + 2 x[1]) t]] Knot, 3 [[6, 0]] Knot, 4 [[6, 0]] Knot, 5 [[6, 0]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 2 [[6, 0], [2, (2 x[5] + x[1]) t + (x[5] + 2 x[1]) t], 2 [2, (2 x[1] + 2 x[5]) t + (x[5] + x[1]) t], 2 [2, (x[5] + x[1]) t + (2 x[1] + 2 x[5]) t], 2 [2, (2 x[2] + x[1] + 2 x[5]) t + (x[2] + 2 x[1] + x[5]) t], 2 [2, (x[5] + 2 x[1]) t + (2 x[5] + x[1]) t], 2 [2, (x[2] + 2 x[1] + x[5]) t + (2 x[2] + x[1] + 2 x[5]) t]] Knot, 10 2 [[6, 0], [2, (2 x[5] + x[1]) t + (x[5] + 2 x[1]) t], 2 [2, (2 x[1] + 2 x[5]) t + (x[5] + x[1]) t], 2 [2, (x[5] + x[1]) t + (2 x[1] + 2 x[5]) t], 2 [2, (2 x[2] + x[1] + 2 x[5]) t + (x[2] + 2 x[1] + x[5]) t], 2 [2, (x[5] + 2 x[1]) t + (2 x[5] + x[1]) t], 2 [2, (x[2] + 2 x[1] + x[5]) t + (2 x[2] + x[1] + 2 x[5]) t]] Knot, 11 [[6, 0]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0]] Knot, 15 2 [[6, 0], [2, (x[1] + x[5]) t + 2 x[1] + 2 x[5]], 2 [2, (x[5] + 2 x[1]) t + 2 x[5] + x[1]], 2 [2, (2 x[5] + x[1]) t + x[5] + 2 x[1]], 2 [2, (x[2] + 2 x[1] + x[5]) t + 2 x[5] + 2 x[2] + x[1]], 2 [2, (2 x[5] + 2 x[2] + x[1]) t + 2 x[1] + x[5] + x[2]], 2 [2, (2 x[5] + 2 x[1]) t + x[1] + x[5]]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0], [2, (x[5] + x[1]) t + 2 x[1] + 2 x[5]], [2, (x[5] + 2 x[1]) t + 2 x[5] + x[1]], [2, (2 x[1] + 2 x[5]) t + x[5] + x[1]], [2, (2 x[2] + x[1] + 2 x[5]) t + 2 x[1] + x[5] + x[2]], [2, (2 x[5] + x[1]) t + x[5] + 2 x[1]], [2, (x[5] + x[2] + 2 x[1]) t + 2 x[2] + x[1] + 2 x[5]]] Knot, 19 [[18, 0]] Knot, 20 [[6, 0]] Knot, 21 [[6, 0]] Knot, 22 [[6, 0]] Knot, 23 [[6, 0]] Knot, 24 [[18, 0]] Knot, 25 2 [[6, 0], [2, (x[2] + 2 x[1] + x[5]) t + x[1] + 2 x[5] + 2 x[2]], 2 [2, (2 x[5] + 2 x[2] + x[1]) t + x[2] + 2 x[1] + x[5]], 2 [2, (x[1] + x[5]) t + 2 x[5] + 2 x[1]], 2 [2, (x[5] + 2 x[1]) t + 2 x[5] + x[1]], 2 [2, (2 x[5] + x[1]) t + 2 x[1] + x[5]], 2 [2, (2 x[5] + 2 x[1]) t + x[5] + x[1]]] Knot, 26 [[6, 0]] Knot, 27 2 [[6, 0], [2, (x[5] + x[2] + 2 x[1]) t + (2 x[2] + 2 x[5] + x[1]) t], 2 [2, (x[5] + 2 x[1]) t + (x[1] + 2 x[5]) t], 2 [2, (x[1] + 2 x[5]) t + (x[5] + 2 x[1]) t], 2 [2, (x[1] + x[5]) t + (2 x[1] + 2 x[5]) t], 2 [2, (2 x[2] + 2 x[5] + x[1]) t + (x[5] + x[2] + 2 x[1]) t], 2 [2, (2 x[1] + 2 x[5]) t + (x[1] + x[5]) t]] Knot, 28 [[6, 0]] Knot, 29 [[18, 0]] Knot, 30 [[6, 0]] Knot, 31 [[6, 0]] Knot, 32 2 [[6, 0], [10, (2 x[2] + 2 x[5] + x[1]) t + (x[2] + x[5] + 2 x[1]) t], 2 [10, (2 x[1] + x[5]) t + (x[1] + 2 x[5]) t], 2 [10, (x[1] + 2 x[5]) t + (2 x[1] + x[5]) t], 2 [10, (x[2] + x[5] + 2 x[1]) t + (2 x[2] + 2 x[5] + x[1]) t], 2 [10, (2 x[5] + 2 x[1]) t + (x[5] + x[1]) t], 2 [10, (x[5] + x[1]) t + (2 x[5] + 2 x[1]) t]] Knot, 33 [[18, 0]] Knot, 34 [[18, 0]] Knot, 35 [[18, 0]] [0 0 0 0 0 0] [ ] [1 1 4 5 3 2] [ ] [2 3 2 4 5 1] [ ] [3 2 5 3 1 4] [ ] [4 5 1 2 4 3] [ ] [5 4 3 1 2 5] Knot, 1 [[6, 0]] Knot, 2 2 [[6, 0], [2, (2 x[5] + 2 x[2]) t + (x[5] + x[2]) t], 2 [2, (x[2] + 2 x[1] + 2 x[5]) t + (2 x[2] + x[1] + x[5]) t], 2 [2, (x[5] + x[2]) t + (2 x[5] + 2 x[2]) t], 2 [2, (x[2] + 2 x[4] + 2 x[1]) t + (x[1] + x[4] + 2 x[2]) t], 2 [2, (2 x[5] + x[4] + x[2]) t + (x[5] + 2 x[4] + 2 x[2]) t], 2 [2, (2 x[1] + x[5] + 2 x[4]) t + (x[1] + x[4] + 2 x[5]) t], 2 [2, (x[1] + x[4] + 2 x[2]) t + (x[2] + 2 x[4] + 2 x[1]) t], 2 [2, (x[5] + 2 x[4] + 2 x[2]) t + (2 x[5] + x[4] + x[2]) t], 2 [2, (x[1] + x[4] + 2 x[5]) t + (2 x[1] + x[5] + 2 x[4]) t], 2 [2, (2 x[2] + x[1] + x[5]) t + (x[2] + 2 x[1] + 2 x[5]) t]] Knot, 3 [[26, 0]] Knot, 4 [[6, 0]] Knot, 5 [[6, 0]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 2 [[6, 0], [1, (2 x[1] + 2 x[5] + x[2]) t + (x[1] + x[2]) t + x[5] + x[2]], [ 1, 2 (2 x[1] + 2 x[4] + x[2]) t + (x[5] + 2 x[2]) t + x[4] + 2 x[5] + x[1] 2 ], [1, (x[4] + 2 x[2] + x[1]) t + (x[5] + 2 x[2] + 2 x[4] + 2 x[1]) t 2 + 2 x[2] + 2 x[5]], [1, (2 x[1] + 2 x[4] + x[2]) t + (x[1] + x[5] + x[2]) t + x[4] + x[2] + 2 x[5]], 2 [1, (2 x[4] + 2 x[2] + x[5]) t + (x[4] + x[5]) t + x[5] + x[2]], [1, 2 (x[4] + 2 x[5] + x[1]) t + (x[2] + 2 x[1] + 2 x[5] + 2 x[4]) t 2 + 2 x[5] + 2 x[2]], [1, (x[5] + 2 x[2] + x[1]) t + (x[5] + 2 x[2] + 2 x[1] + x[4]) t + 2 x[4] + 2 x[2] + x[5]], [1, 2 (2 x[4] + 2 x[1] + x[5]) t + (x[2] + 2 x[5]) t + x[4] + 2 x[2] + x[1] 2 ], [1, (x[4] + x[2] + 2 x[5]) t + (x[2] + 2 x[5] + x[1] + 2 x[4]) t 2 + 2 x[1] + 2 x[5] + x[2]], [1, (2 x[4] + 2 x[1] + x[5]) t + (x[5] + x[4] + x[2]) t + x[5] + 2 x[2] + x[1]], [1, 2 (x[4] + x[2] + 2 x[5]) t + (2 x[2] + x[1]) t + 2 x[4] + 2 x[1] + x[5] 2 ], [1, (2 x[4] + 2 x[2] + x[5]) t + (2 x[1] + 2 x[5] + 2 x[2]) t + x[4] + 2 x[2] + x[1]], [1, 2 (x[4] + 2 x[5] + x[1]) t + (2 x[1] + x[2]) t + 2 x[4] + 2 x[2] + x[5] ], [1, 2 (x[4] + 2 x[2] + x[1]) t + (2 x[4] + x[5]) t + 2 x[1] + 2 x[5] + x[2] ], 2 [1, (2 x[2] + 2 x[5]) t + (2 x[4] + 2 x[5]) t + x[4] + x[2] + 2 x[5]] 2 , [1, (2 x[1] + 2 x[5] + x[2]) t + (2 x[5] + 2 x[4] + 2 x[2]) t + x[4] + 2 x[5] + x[1]], 2 [1, (2 x[2] + 2 x[5]) t + (2 x[1] + 2 x[2]) t + x[5] + 2 x[2] + x[1]] 2 , [1, (x[5] + x[2]) t + (x[1] + x[5] + 2 x[2] + x[4]) t + 2 x[4] 2 + 2 x[1] + x[5]], [1, (x[5] + x[2]) t + (x[4] + x[2] + 2 x[5] + x[1]) t + 2 x[1] + 2 x[4] + x[2]], [1, 2 (x[5] + 2 x[2] + x[1]) t + (2 x[5] + x[4]) t + 2 x[1] + 2 x[4] + x[2] ]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0]] Knot, 15 [[6, 0]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0]] Knot, 19 [[6, 0]] Knot, 20 [[6, 0]] Knot, 21 [[6, 0]] Knot, 22 2 [[6, 0], [1, %4 t + %7 t + x[4] + 2 x[2] + 2 x[1]], 2 [1, %7 t + %9 t + 2 x[5] + x[1]], 2 [1, %1 t + %8 t + 2 x[5] + 2 x[2] + 2 x[1] + x[4]], 2 [1, %8 t + %3 t + 2 x[4] + 2 x[1]], 2 2 [1, %3 t + %8 t + 2 x[1] + 2 x[4]], [1, %9 t + %6 t + x[4] + 2 x[2]], 2 [1, %6 t + %9 t + 2 x[2] + x[4]], 2 [1, (x[2] + x[5]) t + %2 t + 2 x[4] + 2 x[1] + 2 x[5]], 2 [1, %9 t + %7 t + x[1] + 2 x[5]], 2 [1, %4 t + %5 t + 2 x[4] + 2 x[5] + 2 x[2] + 2 x[1]], 2 [1, %8 t + %1 t + 2 x[1] + 2 x[5] + x[4] + 2 x[2]], 2 [1, (x[2] + x[5]) t + %1 t + 2 x[1] + 2 x[4] + 2 x[2]], 2 [1, %7 t + %4 t + 2 x[1] + x[4] + 2 x[2]], 2 [1, %5 t + %6 t + x[1] + 2 x[5] + 2 x[4]], 2 [1, %6 t + %5 t + x[1] + 2 x[4] + 2 x[5]], 2 [1, %2 t + %3 t + 2 x[2] + 2 x[5] + x[1] + 2 x[4]], 2 [1, %2 t + (x[2] + x[5]) t + 2 x[4] + 2 x[1] + 2 x[5]], 2 [1, %5 t + %4 t + 2 x[1] + 2 x[2] + 2 x[5] + 2 x[4]], 2 [1, %3 t + %2 t + 2 x[2] + 2 x[4] + x[1] + 2 x[5]], 2 [1, %1 t + (x[2] + x[5]) t + 2 x[2] + 2 x[1] + 2 x[4]]] %1 := x[1] + 2 x[5] + x[4] %2 := x[4] + x[1] + 2 x[2] %3 := x[5] + 2 x[2] + x[1] %4 := 2 x[4] + 2 x[1] + x[5] %5 := 2 x[1] + 2 x[4] + x[2] %6 := 2 x[4] + x[5] + 2 x[2] %7 := 2 x[1] + x[2] + 2 x[5] %8 := x[2] + 2 x[5] + x[4] %9 := 2 x[2] + 2 x[5] Knot, 23 2 [[6, 0], [2, (2 x[4] + x[5] + 2 x[2]) t + (x[2] + 2 x[5] + x[4]) t], 2 [2, (x[2] + 2 x[5] + x[4]) t + (2 x[4] + x[5] + 2 x[2]) t], 2 [2, (2 x[1] + x[2] + 2 x[5]) t + (x[5] + 2 x[2] + x[1]) t], 2 [2, (x[5] + 2 x[2] + x[1]) t + (2 x[1] + x[2] + 2 x[5]) t], 2 [2, (x[4] + x[1] + 2 x[2]) t + (2 x[1] + 2 x[4] + x[2]) t], 2 [2, (x[2] + x[5]) t + (2 x[2] + 2 x[5]) t], 2 [2, (x[1] + 2 x[5] + x[4]) t + (2 x[4] + 2 x[1] + x[5]) t], 2 [2, (2 x[4] + 2 x[1] + x[5]) t + (x[1] + 2 x[5] + x[4]) t], 2 [2, (2 x[1] + 2 x[4] + x[2]) t + (x[4] + x[1] + 2 x[2]) t], 2 [2, (2 x[2] + 2 x[5]) t + (x[2] + x[5]) t]] Knot, 24 [[6, 0]] Knot, 25 [[6, 0]] Knot, 26 [[6, 0]] Knot, 27 [[6, 0]] Knot, 28 [[6, 0]] Knot, 29 [[6, 0]] Knot, 30 [[6, 0], [2, 2 (2 x[1] + x[4] + x[2] + x[5]) t + (2 x[2] + 2 x[4] + x[1] + 2 x[5]) t 2 ], [2, (x[1] + x[2] + 2 x[4]) t + (x[4] + 2 x[2] + 2 x[1]) t], 2 [2, (x[1] + x[4]) t + (2 x[1] + 2 x[4]) t], 2 [2, (x[4] + x[5] + 2 x[1]) t + (x[1] + 2 x[5] + 2 x[4]) t], 2 [2, (x[2] + 2 x[4]) t + (x[4] + 2 x[2]) t], 2 [2, (x[1] + x[4] + x[2]) t + (2 x[4] + 2 x[1] + 2 x[2]) t], [2, 2 (x[4] + x[1] + x[2] + x[5]) t + (2 x[4] + 2 x[2] + 2 x[1] + 2 x[5]) t 2 ], [2, (x[1] + x[4] + x[5]) t + (2 x[1] + 2 x[4] + 2 x[5]) t], 2 [2, (x[5] + 2 x[1]) t + (2 x[5] + x[1]) t], [2, 2 (x[1] + 2 x[4] + x[5] + x[2]) t + (2 x[1] + 2 x[5] + x[4] + 2 x[2]) t ]] Knot, 31 [[6, 0]] Knot, 32 2 [[6, 0], [2, (2 x[5] + x[4] + x[2]) t + (x[5] + 2 x[4] + 2 x[2]) t], 2 [2, (2 x[1] + 2 x[4] + x[2]) t + (2 x[2] + x[4] + x[1]) t], 2 [2, (x[5] + 2 x[4] + 2 x[2]) t + (2 x[5] + x[4] + x[2]) t], 2 [2, (2 x[2] + x[4] + x[1]) t + (2 x[1] + 2 x[4] + x[2]) t], 2 [2, (2 x[1] + 2 x[4] + x[5]) t + (x[1] + 2 x[5] + x[4]) t], 2 [2, (x[1] + 2 x[5] + x[4]) t + (2 x[1] + 2 x[4] + x[5]) t], 2 [2, (2 x[1] + 2 x[5] + x[2]) t + (2 x[2] + x[1] + x[5]) t], 2 [2, (2 x[5] + 2 x[2]) t + (x[5] + x[2]) t], 2 [2, (2 x[2] + x[1] + x[5]) t + (2 x[1] + 2 x[5] + x[2]) t], 2 [2, (x[5] + x[2]) t + (2 x[5] + 2 x[2]) t]] Knot, 33 [[6, 0]] Knot, 34 [[6, 0]] Knot, 35 2 [[6, 0], [2, (x[1] + 2 x[5]) t + (x[5] + 2 x[1]) t], [2, 2 (2 x[5] + 2 x[1] + x[4] + 2 x[2]) t + (x[5] + x[1] + 2 x[4] + x[2]) t 2 ], [2, (2 x[1] + 2 x[4] + 2 x[2]) t + (x[1] + x[4] + x[2]) t], 2 [2, (2 x[1] + 2 x[5] + 2 x[4]) t + (x[1] + x[5] + x[4]) t], 2 [2, (2 x[4] + 2 x[1]) t + (x[4] + x[1]) t], 2 [2, (x[1] + 2 x[4] + 2 x[5]) t + (x[4] + x[5] + 2 x[1]) t], [2, 2 (2 x[1] + 2 x[5] + 2 x[4] + 2 x[2]) t + (x[1] + x[5] + x[4] + x[2]) t 2 ], [2, (2 x[1] + x[4] + 2 x[2]) t + (x[1] + 2 x[4] + x[2]) t], 2 [2, (x[4] + 2 x[2]) t + (2 x[4] + x[2]) t], [2, 2 (2 x[2] + x[1] + 2 x[4] + 2 x[5]) t + (x[4] + 2 x[1] + x[2] + x[5]) t ]] [0 0 0 0 1 1] [ ] [1 1 1 1 0 0] [ ] [2 2 2 2 3 3] [ ] [3 3 3 3 2 2] [ ] [5 5 5 5 4 4] [ ] [4 4 4 4 5 5] Knot, 1 [[6, 0]] Knot, 2 [[6, 0]] Knot, 3 [[6, 0]] Knot, 4 [[6, 0]] Knot, 5 [[6, 0]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 [[6, 0]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0]] Knot, 15 [[6, 0]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0]] Knot, 19 [[6, 0]] Knot, 20 [[6, 0]] Knot, 21 [[6, 0]] Knot, 22 [[6, 0]] Knot, 23 [[6, 0]] Knot, 24 [[6, 0]] Knot, 25 [[6, 0]] Knot, 26 [[6, 0]] Knot, 27 [[6, 0]] Knot, 28 [[6, 0]] Knot, 29 [[6, 0]] Knot, 30 [[6, 0]] Knot, 31 [[6, 0]] Knot, 32 [[6, 0]] Knot, 33 [[6, 0]] Knot, 34 [[6, 0]] Knot, 35 [[6, 0]] [0 0 0 0 1 1] [ ] [1 1 1 1 2 2] [ ] [2 2 2 2 3 3] [ ] [3 3 3 3 0 0] [ ] [5 5 5 5 4 4] [ ] [4 4 4 4 5 5] Knot, 1 [[6, 0]] Knot, 2 [[6, 0]] Knot, 3 [[6, 0]] Knot, 4 [[6, 0]] Knot, 5 [[6, 0]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 [[6, 0]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0]] Knot, 15 [[6, 0]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0]] Knot, 19 [[6, 0]] Knot, 20 [[6, 0]] Knot, 21 [[6, 0]] Knot, 22 [[6, 0]] Knot, 23 [[6, 0]] Knot, 24 [[6, 0]] Knot, 25 [[6, 0]] Knot, 26 [[6, 0]] Knot, 27 [[6, 0]] Knot, 28 [[6, 0]] Knot, 29 [[6, 0]] Knot, 30 [[6, 0]] Knot, 31 [[6, 0]] Knot, 32 [[6, 0]] Knot, 33 [[6, 0]] Knot, 34 [[6, 0]] Knot, 35 [[6, 0]] [0 0 1 1 0 0] [ ] [1 1 0 0 1 1] [ ] [2 2 2 2 3 3] [ ] [3 3 3 3 2 2] [ ] [5 5 4 4 4 4] [ ] [4 4 5 5 5 5] Knot, 1 [[6, 0]] Knot, 2 [[6, 0]] Knot, 3 [[6, 0]] Knot, 4 [[6, 0]] Knot, 5 [[6, 0]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 [[6, 0]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0]] Knot, 15 [[6, 0]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0]] Knot, 19 [[6, 0]] Knot, 20 [[6, 0]] Knot, 21 [[6, 0]] Knot, 22 [[6, 0]] Knot, 23 [[6, 0]] Knot, 24 [[6, 0]] Knot, 25 [[6, 0]] Knot, 26 [[6, 0]] Knot, 27 [[6, 0]] Knot, 28 [[6, 0]] Knot, 29 [[6, 0]] Knot, 30 [[6, 0]] Knot, 31 [[6, 0]] Knot, 32 [[6, 0]] Knot, 33 [[6, 0]] Knot, 34 [[6, 0]] Knot, 35 [[6, 0]] [0 0 1 1 1 1] [ ] [1 1 0 0 0 0] [ ] [2 2 2 2 3 3] [ ] [3 3 3 3 2 2] [ ] [5 5 4 4 4 4] [ ] [4 4 5 5 5 5] Knot, 1 [[6, 0]] Knot, 2 [[6, 0]] Knot, 3 [[6, 0]] Knot, 4 [[6, 0]] Knot, 5 [[6, 0]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 [[6, 0]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0]] Knot, 15 [[6, 0]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0]] Knot, 19 [[6, 0]] Knot, 20 [[6, 0]] Knot, 21 [[6, 0]] Knot, 22 [[6, 0]] Knot, 23 [[6, 0]] Knot, 24 [[6, 0]] Knot, 25 [[6, 0]] Knot, 26 [[6, 0]] Knot, 27 [[6, 0]] Knot, 28 [[6, 0]] Knot, 29 [[6, 0]] Knot, 30 [[6, 0]] Knot, 31 [[6, 0]] Knot, 32 [[6, 0]] Knot, 33 [[6, 0]] Knot, 34 [[6, 0]] Knot, 35 [[6, 0]] [0 0 1 1 1 1] [ ] [1 1 0 0 0 0] [ ] [2 2 2 2 3 3] [ ] [3 3 3 3 2 2] [ ] [5 5 5 5 4 4] [ ] [4 4 4 4 5 5] Knot, 1 [[6, 0]] Knot, 2 [[6, 0]] Knot, 3 [[6, 0]] Knot, 4 [[6, 0]] Knot, 5 [[6, 0]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 [[6, 0]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0]] Knot, 15 [[6, 0]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0]] Knot, 19 [[6, 0]] Knot, 20 [[6, 0]] Knot, 21 [[6, 0]] Knot, 22 [[6, 0]] Knot, 23 [[6, 0]] Knot, 24 [[6, 0]] Knot, 25 [[6, 0]] Knot, 26 [[6, 0]] Knot, 27 [[6, 0]] Knot, 28 [[6, 0]] Knot, 29 [[6, 0]] Knot, 30 [[6, 0]] Knot, 31 [[6, 0]] Knot, 32 [[6, 0]] Knot, 33 [[6, 0]] Knot, 34 [[6, 0]] Knot, 35 [[6, 0]] [0 0 0 0 5 4] [ ] [1 1 3 2 1 1] [ ] [2 3 2 1 2 2] [ ] [3 2 1 3 3 3] [ ] [5 4 4 4 4 0] [ ] [4 5 5 5 0 5] Knot, 1 [[18, 0]] Knot, 2 [[6, 0]] Knot, 3 [[6, 0]] Knot, 4 [[6, 0]] Knot, 5 2 [[6, 0], [6, (x[4] + x[6]) t + (x[4] + x[6]) t + x[4] + x[6]], 2 [6, (x[3] + x[1]) t + (x[3] + x[1]) t + x[3] + x[1]]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 2 [[6, 0], [6, (x[6] + x[4]) t + 2 x[4] + 2 x[6]], 2 [6, (x[1] + x[3]) t + 2 x[3] + 2 x[1]]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0], [6, (x[1] + x[3]) t + 2 x[3] + 2 x[1]], [6, (x[6] + x[4]) t + 2 x[4] + 2 x[6]]] Knot, 15 [[6, 0]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0]] Knot, 19 [[18, 0]] Knot, 20 [[6, 0]] Knot, 21 [[6, 0]] Knot, 22 [[6, 0]] Knot, 23 [[6, 0]] Knot, 24 [[18, 0]] Knot, 25 2 [[6, 0], [6, (x[6] + x[4]) t + 2 x[6] + 2 x[4]], 2 [6, (x[1] + x[3]) t + 2 x[1] + 2 x[3]]] Knot, 26 [[6, 0]] Knot, 27 [[6, 0]] Knot, 28 [[6, 0]] Knot, 29 [[18, 0]] Knot, 30 [[6, 0]] Knot, 31 [[6, 0]] Knot, 32 2 [[6, 0], [12, (2 x[3] + 2 x[1]) t + (x[1] + x[3]) t], 2 [12, (x[6] + x[4]) t + (2 x[4] + 2 x[6]) t], 2 [12, (2 x[4] + 2 x[6]) t + (x[6] + x[4]) t], 2 [12, (x[1] + x[3]) t + (2 x[3] + 2 x[1]) t]] Knot, 33 [[18, 0]] Knot, 34 [[18, 0]] Knot, 35 [[18, 0]] [0 0 0 1 1 1] [ ] [1 1 1 2 2 2] [ ] [2 2 2 0 0 0] [ ] [4 4 4 3 3 3] [ ] [5 5 5 4 4 4] [ ] [3 3 3 5 5 5] Knot, 1 [[6, 0]] Knot, 2 [[6, 0]] Knot, 3 [[6, 0]] Knot, 4 [[6, 0]] Knot, 5 [[6, 0]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 [[6, 0]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0]] Knot, 15 [[6, 0]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0]] Knot, 19 [[6, 0]] Knot, 20 [[6, 0]] Knot, 21 [[6, 0]] Knot, 22 [[6, 0]] Knot, 23 [[6, 0]] Knot, 24 [[6, 0]] Knot, 25 [[6, 0]] Knot, 26 [[6, 0]] Knot, 27 [[6, 0]] Knot, 28 [[6, 0]] Knot, 29 [[6, 0]] Knot, 30 [[6, 0]] Knot, 31 [[6, 0]] Knot, 32 [[6, 0]] Knot, 33 [[6, 0]] Knot, 34 [[6, 0]] Knot, 35 [[6, 0]] [0 0 1 1 1 1] [ ] [1 1 0 0 0 0] [ ] [3 3 2 2 3 3] [ ] [2 2 3 3 2 2] [ ] [5 5 5 5 4 4] [ ] [4 4 4 4 5 5] Knot, 1 [[6, 0]] Knot, 2 [[6, 0]] Knot, 3 [[6, 0]] Knot, 4 [[6, 0]] Knot, 5 [[6, 0]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 [[6, 0]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0]] Knot, 15 [[6, 0]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0]] Knot, 19 [[6, 0]] Knot, 20 [[6, 0]] Knot, 21 [[6, 0]] Knot, 22 [[6, 0]] Knot, 23 [[6, 0]] Knot, 24 [[6, 0]] Knot, 25 [[6, 0]] Knot, 26 [[6, 0]] Knot, 27 [[6, 0]] Knot, 28 [[6, 0]] Knot, 29 [[6, 0]] Knot, 30 [[6, 0]] Knot, 31 [[6, 0]] Knot, 32 [[6, 0]] Knot, 33 [[6, 0]] Knot, 34 [[6, 0]] Knot, 35 [[6, 0]] [0 0 1 1 2 3] [ ] [1 1 0 0 3 2] [ ] [3 3 2 2 0 1] [ ] [2 2 3 3 1 0] [ ] [5 5 5 5 4 4] [ ] [4 4 4 4 5 5] Knot, 1 [[6, 0]] Knot, 2 [[6, 0]] Knot, 3 [[6, 0]] Knot, 4 [[6, 0]] Knot, 5 [[6, 0]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 [[6, 0]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0]] Knot, 15 [[6, 0]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0]] Knot, 19 [[6, 0]] Knot, 20 [[6, 0]] Knot, 21 [[6, 0]] Knot, 22 [[6, 0]] Knot, 23 [[6, 0]] Knot, 24 [[6, 0]] Knot, 25 [[6, 0]] Knot, 26 [[6, 0]] Knot, 27 [[6, 0]] Knot, 28 [[6, 0]] Knot, 29 [[6, 0]] Knot, 30 [[6, 0]] Knot, 31 [[6, 0]] Knot, 32 [[6, 0]] Knot, 33 [[6, 0]] Knot, 34 [[6, 0]] Knot, 35 [[6, 0]] [0 0 1 1 2 3] [ ] [1 1 0 0 3 2] [ ] [3 3 2 2 1 0] [ ] [2 2 3 3 0 1] [ ] [5 5 5 5 4 4] [ ] [4 4 4 4 5 5] Knot, 1 [[6, 0]] Knot, 2 [[6, 0]] Knot, 3 [[6, 0]] Knot, 4 [[6, 0]] Knot, 5 [[6, 0]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 [[6, 0]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0]] Knot, 15 [[6, 0]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0]] Knot, 19 [[6, 0]] Knot, 20 [[6, 0]] Knot, 21 [[6, 0]] Knot, 22 [[6, 0]] Knot, 23 [[6, 0]] Knot, 24 [[6, 0]] Knot, 25 [[6, 0]] Knot, 26 [[6, 0]] Knot, 27 [[6, 0]] Knot, 28 [[6, 0]] Knot, 29 [[6, 0]] Knot, 30 [[6, 0]] Knot, 31 [[6, 0]] Knot, 32 [[6, 0]] Knot, 33 [[6, 0]] Knot, 34 [[6, 0]] Knot, 35 [[6, 0]] [0 0 3 2 2 3] [ ] [1 1 4 5 5 4] [ ] [3 3 2 0 0 2] [ ] [2 2 0 3 3 0] [ ] [5 5 1 4 4 1] [ ] [4 4 5 1 1 5] Knot, 1 [[18, 0]] Knot, 2 [[6, 0]] Knot, 3 [[6, 0]] Knot, 4 [[6, 0]] Knot, 5 2 [[6, 0], [6, (x[1] + x[4]) t + (x[1] + x[4]) t + x[1] + x[4]], [6, 2 (x[5] + x[3] + x[2]) t + (x[5] + x[3] + x[2]) t + x[5] + x[3] + x[2]] ] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 2 [[6, 0], [6, (x[5] + x[3] + x[2]) t + 2 x[3] + 2 x[2] + 2 x[5]], 2 [6, (x[4] + x[1]) t + 2 x[1] + 2 x[4]]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0], [6, (x[4] + x[1]) t + 2 x[1] + 2 x[4]], [6, (x[2] + x[5] + x[3]) t + 2 x[5] + 2 x[3] + 2 x[2]]] Knot, 15 [[6, 0]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0]] Knot, 19 [[18, 0]] Knot, 20 [[6, 0]] Knot, 21 [[6, 0]] Knot, 22 [[6, 0]] Knot, 23 [[6, 0]] Knot, 24 [[18, 0]] Knot, 25 2 [[6, 0], [6, (x[3] + x[2] + x[5]) t + 2 x[5] + 2 x[3] + 2 x[2]], 2 [6, (x[4] + x[1]) t + 2 x[4] + 2 x[1]]] Knot, 26 [[6, 0]] Knot, 27 [[6, 0]] Knot, 28 [[6, 0]] Knot, 29 [[18, 0]] Knot, 30 [[6, 0]] Knot, 31 [[6, 0]] Knot, 32 2 [[6, 0], [12, (x[2] + x[5] + x[3]) t + (2 x[2] + 2 x[5] + 2 x[3]) t], 2 [12, (2 x[1] + 2 x[4]) t + (x[4] + x[1]) t], 2 [12, (2 x[2] + 2 x[5] + 2 x[3]) t + (x[2] + x[5] + x[3]) t], 2 [12, (x[4] + x[1]) t + (2 x[1] + 2 x[4]) t]] Knot, 33 [[18, 0]] Knot, 34 [[18, 0]] Knot, 35 [[18, 0]] [0 0 3 2 5 4] [ ] [1 1 4 5 2 3] [ ] [3 4 2 0 1 2] [ ] [2 5 0 3 3 1] [ ] [5 2 1 4 4 0] [ ] [4 3 5 1 0 5] Knot, 1 [[30, 0]] Knot, 2 [[6, 0]] Knot, 3 [[6, 0]] Knot, 4 [[6, 0]] Knot, 5 2 [[6, 0], [6, (x[4] + x[1]) t + (x[4] + x[1]) t + x[4] + x[1]], 2 [6, (x[5] + x[3]) t + (x[5] + x[3]) t + x[5] + x[3]], [6, 2 (2 x[3] + x[2] + x[5] + x[1]) t + (2 x[3] + x[2] + x[5] + x[1]) t 2 + 2 x[3] + x[2] + x[5] + x[1]], [6, (x[2] + x[1] + x[4] + 2 x[3]) t + (x[2] + x[1] + x[4] + 2 x[3]) t + x[2] + x[1] + x[4] + 2 x[3]]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 2 [[6, 0], [6, (x[1] + x[4]) t + 2 x[4] + 2 x[1]], 2 [6, (x[3] + x[5]) t + 2 x[5] + 2 x[3]], [ 2 6, (x[1] + 2 x[3] + x[4] + x[2]) t + 2 x[1] + x[3] + 2 x[2] + 2 x[4]] , [ 2 6, (x[1] + 2 x[3] + x[5] + x[2]) t + 2 x[1] + x[3] + 2 x[2] + 2 x[5]] ] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0], [6, (x[4] + x[2] + x[1] + 2 x[3]) t + 2 x[1] + 2 x[2] + x[3] + 2 x[4]] , [6, (x[1] + x[4]) t + 2 x[4] + 2 x[1]], [6, (x[2] + x[1] + 2 x[3] + x[5]) t + 2 x[1] + 2 x[2] + 2 x[5] + x[3]] , [6, (x[3] + x[5]) t + 2 x[5] + 2 x[3]]] Knot, 15 [[6, 0]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0]] Knot, 19 [[54, 0]] Knot, 20 [[6, 0]] Knot, 21 [[6, 0]] Knot, 22 [[6, 0]] Knot, 23 [[6, 0]] Knot, 24 [[54, 0]] Knot, 25 2 [[6, 0], [6, (x[3] + x[5]) t + 2 x[3] + 2 x[5]], 2 [6, (x[1] + x[4]) t + 2 x[1] + 2 x[4]], [ 2 6, (x[1] + 2 x[3] + x[4] + x[2]) t + 2 x[1] + x[3] + 2 x[4] + 2 x[2]] , [ 2 6, (x[1] + 2 x[3] + x[5] + x[2]) t + 2 x[2] + 2 x[1] + x[3] + 2 x[5]] ] Knot, 26 [[6, 0]] Knot, 27 [[6, 0]] Knot, 28 [[6, 0]] Knot, 29 [[54, 0]] Knot, 30 [[6, 0]] Knot, 31 [[6, 0]] Knot, 32 2 [[6, 0], [12, (x[3] + x[5]) t + (2 x[5] + 2 x[3]) t], [12, 2 (2 x[1] + x[3] + 2 x[2] + 2 x[5]) t + (x[1] + 2 x[3] + x[2] + x[5]) t ], [12, 2 (2 x[4] + 2 x[2] + 2 x[1] + x[3]) t + (x[4] + x[2] + x[1] + 2 x[3]) t 2 ], [12, (x[1] + x[4]) t + (2 x[4] + 2 x[1]) t], [12, 2 (x[4] + x[2] + x[1] + 2 x[3]) t + (2 x[4] + 2 x[2] + 2 x[1] + x[3]) t 2 ], [12, (2 x[4] + 2 x[1]) t + (x[1] + x[4]) t], 2 [12, (2 x[5] + 2 x[3]) t + (x[3] + x[5]) t], [12, 2 (x[1] + 2 x[3] + x[2] + x[5]) t + (2 x[1] + x[3] + 2 x[2] + 2 x[5]) t ]] Knot, 33 2 [[30, 0], [4, (2 x[1] + x[2]) t + (x[1] + 2 x[2]) t], 2 [4, (x[1] + 2 x[3]) t + (2 x[1] + x[3]) t], 2 [4, (x[1] + 2 x[2]) t + (2 x[1] + x[2]) t], 2 [4, (2 x[1] + x[3]) t + (x[1] + 2 x[3]) t], [4, 2 (x[1] + 2 x[4] + x[5] + 2 x[3]) t + (2 x[1] + x[3] + 2 x[5] + x[4]) t ], [4, 2 (2 x[1] + x[3] + 2 x[5] + x[4]) t + (x[1] + 2 x[4] + x[5] + 2 x[3]) t ]] Knot, 34 [[54, 0]] Knot, 35 [[54, 0]] [0 0 5 2 3 4] [ ] [1 1 3 4 5 2] [ ] [3 5 2 1 2 0] [ ] [4 2 0 3 1 3] [ ] [5 3 4 0 4 1] [ ] [2 4 1 5 0 5] Knot, 1 [[30, 0]] Knot, 2 [[6, 0]] Knot, 3 [[6, 0]] Knot, 4 [[6, 0]] Knot, 5 2 2 [[6, 0], [1, %5 t + %9 t + x[4] + x[1]], [1, %7 t + %8 t + x[1] + 2 x[2]], 2 2 [1, %10 t + %4 t + x[5] + x[3]], [1, %9 t + %5 t + x[4] + x[1]], 2 [1, (x[5] + x[3]) t + %10 t + 2 x[1] + x[4] + 2 x[5]], 2 2 [1, %4 t + %10 t + x[5] + x[3]], [1, %8 t + %7 t + x[1] + 2 x[2]], 2 [1, %5 t + (x[4] + x[1]) t + 2 x[5] + 2 x[2] + 2 x[1]], 2 [1, %6 t + %7 t + 2 x[3] + x[5] + 2 x[4]], 2 [1, %8 t + %6 t + x[4] + 2 x[5] + 2 x[1] + x[2] + x[3]], 2 [1, %10 t + (x[5] + x[3]) t + 2 x[5] + 2 x[1] + x[4]], 2 [1, %9 t + (x[4] + x[1]) t + x[5] + x[2] + 2 x[4]], 2 [1, (x[5] + x[3]) t + %4 t + x[1] + 2 x[3] + 2 x[4]], 2 [1, (x[4] + x[1]) t + %9 t + x[5] + x[2] + 2 x[4]], 2 [1, %1 t + %3 t + x[3] + 2 x[2] + 2 x[4] + x[1]], 2 [1, %1 t + %2 t + x[4] + x[5] + x[2] + x[3]], 2 [1, %6 t + %8 t + x[4] + 2 x[5] + 2 x[1] + x[2] + x[3]], 2 [1, %7 t + %6 t + 2 x[3] + 2 x[4] + x[5]], 2 [1, %3 t + %2 t + 2 x[1] + x[3] + 2 x[5]], 2 [1, (x[4] + x[1]) t + %5 t + 2 x[5] + 2 x[2] + 2 x[1]], 2 [1, %2 t + %3 t + 2 x[1] + x[3] + 2 x[5]], 2 [1, %4 t + (x[5] + x[3]) t + x[1] + 2 x[3] + 2 x[4]], 2 [1, %3 t + %1 t + x[1] + x[3] + 2 x[2] + 2 x[4]], 2 [1, %2 t + %1 t + x[4] + x[5] + x[2] + x[3]]] %1 := 2 x[1] + x[3] + 2 x[5] %2 := x[1] + x[3] + 2 x[2] + 2 x[4] %3 := x[4] + x[5] + x[2] + x[3] %4 := 2 x[1] + x[4] + 2 x[5] %5 := x[5] + x[2] + 2 x[4] %6 := x[1] + 2 x[2] %7 := x[4] + 2 x[5] + 2 x[1] + x[2] + x[3] %8 := 2 x[3] + x[5] + 2 x[4] %9 := 2 x[5] + 2 x[2] + 2 x[1] %10 := x[1] + 2 x[3] + 2 x[4] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 2 [[6, 0], [1, (x[5] + x[2] + 2 x[4]) t + %2 + x[3] + 2 x[5] + x[4]], 2 [1, (x[4] + x[5] + x[2] + x[3]) t + %4 + 2 x[3] + 2 x[5]], 2 [1, (x[5] + x[3]) t + %5 + 2 x[1] + x[2]], 2 [1, (x[1] + 2 x[2]) t + %1 + 2 x[5] + 2 x[3]], 2 [1, (x[4] + x[5] + x[2] + x[3]) t + %5 + 2 x[1] + 2 x[4]], 2 [1, (x[1] + 2 x[2]) t + %6 + 2 x[4] + 2 x[1]], 2 [1, (x[4] + x[1]) t + %4 + x[2] + 2 x[1]], 2 [1, (2 x[1] + x[3] + 2 x[5]) t + %2 + x[5] + x[1] + x[2]], 2 [1, (2 x[1] + x[4] + 2 x[5]) t + %4 + x[2] + x[5] + x[1]], 2 [1, (x[4] + x[1]) t + %1 + 2 x[3] + 2 x[5] + 2 x[4] + 2 x[2]], [1, 2 (2 x[1] + x[3] + 2 x[5]) t + %6 + 2 x[2] + 2 x[4] + x[1] + x[5] + 2 x[3]], 2 [1, (x[3] + x[1] + 2 x[2] + 2 x[4]) t + %3 + x[3] + 2 x[1] + x[4]], 2 [1, (x[5] + x[2] + 2 x[4]) t + %5 + 2 x[1] + x[4] + x[3]], [1, 2 (2 x[1] + x[4] + 2 x[5]) t + %3 + 2 x[2] + 2 x[3] + 2 x[4] + x[1] + x[5]], 2 [1, (2 x[5] + 2 x[2] + 2 x[1]) t + %6 + x[5] + x[1] + 2 x[4]], 2 [1, (x[5] + x[3]) t + %6 + 2 x[3] + 2 x[5] + 2 x[2] + 2 x[4]], 2 [1, (2 x[5] + 2 x[2] + 2 x[1]) t + %3 + x[1] + x[5] + 2 x[3]], 2 [1, (2 x[3] + 2 x[4] + x[5]) t + %5 + x[4] + 2 x[1] + 2 x[3] + x[2]], [1, 2 (2 x[5] + x[4] + 2 x[1] + x[2] + x[3]) t + %4 + 2 x[3] + x[1] + x[5]] 2 , [1, (x[1] + 2 x[3] + 2 x[4]) t + %1 + x[4] + 2 x[2] + 2 x[5]], [1, 2 (2 x[5] + x[4] + 2 x[1] + x[2] + x[3]) t + %2 + 2 x[4] + x[5] + x[1]] 2 , [1, (2 x[3] + 2 x[4] + x[5]) t + %3 + 2 x[5] + x[4] + 2 x[2]], 2 [1, (x[1] + 2 x[3] + 2 x[4]) t + %2 + 2 x[3] + 2 x[1] + x[2] + x[4]], 2 [1, (x[3] + x[1] + 2 x[2] + 2 x[4]) t + %1 + x[3] + x[4] + 2 x[5]]] %1 := (x[5] + x[2] + x[3] + 2 x[1]) t %2 := (2 x[2] + 2 x[3]) t %3 := (x[3] + x[2]) t %4 := (2 x[2] + 2 x[4]) t %5 := (2 x[5] + 2 x[2] + 2 x[3] + x[1]) t %6 := (x[2] + x[4]) t Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0], [3, (x[5] + x[2] + 2 x[3]) t + 2 x[5] + 2 x[2] + x[3]], [3, (x[1] + 2 x[3] + x[2]) t + 2 x[1] + 2 x[2] + x[3]], [3, (x[5] + x[4]) t + 2 x[4] + 2 x[5]], [3, (2 x[2] + 2 x[3] + x[4] + x[1]) t + 2 x[1] + 2 x[4] + x[2] + x[3]] , [3, (x[1] + x[3]) t + 2 x[1] + 2 x[3]], [3, (x[5] + x[4] + 2 x[2] + 2 x[3]) t + x[2] + x[3] + 2 x[4] + 2 x[5]] , [3, (x[1] + x[2] + x[3] + x[4]) t + 2 x[3] + 2 x[1] + 2 x[4] + 2 x[2]] , [3, (x[5] + 2 x[2]) t + 2 x[5] + x[2]]] Knot, 15 [[6, 0]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0]] Knot, 19 [[54, 0]] Knot, 20 [[6, 0]] Knot, 21 [[6, 0]] Knot, 22 [[6, 0]] Knot, 23 [[6, 0]] Knot, 24 [[54, 0]] Knot, 25 [[6, 0], [2, 2 (x[4] + x[1]) t + (2 x[1] + x[3] + x[5] + 2 x[4]) t + 2 x[3] + 2 x[5] ], [2, 2 (x[5] + x[3]) t + (x[4] + 2 x[5] + x[1] + 2 x[3]) t + 2 x[4] + 2 x[1] ], [2, 2 (x[1] + 2 x[3] + 2 x[4]) t + (2 x[1] + x[5]) t + 2 x[5] + x[3] + x[4] 2 ], [2, (2 x[1] + x[2] + x[3] + x[4] + 2 x[5]) t + (x[2] + 2 x[3] + 2 x[4]) t + x[1] + x[5] + x[2]], [2, 2 (2 x[3] + x[5] + 2 x[4]) t + (2 x[5] + x[1]) t + x[3] + x[4] + 2 x[1] 2 ], [2, (2 x[1] + 2 x[5] + 2 x[2]) t + (2 x[2] + x[3] + x[4]) t + 2 x[2] + x[5] + 2 x[4] + x[1] + 2 x[3]], [2, 2 (x[5] + x[2] + 2 x[4]) t + (2 x[5] + x[2] + x[3] + x[1]) t + x[4] 2 + 2 x[3] + x[2] + 2 x[1]], [2, (2 x[2] + x[3] + 2 x[4] + x[1]) t + (2 x[1] + 2 x[2] + 2 x[3] + x[5]) t + 2 x[5] + 2 x[2] + x[4]], [2, 2 (x[2] + x[3] + x[4] + x[5]) t + (2 x[5] + x[2] + x[1] + 2 x[3] + 2 x[4]) t + x[2] + 2 x[1]], [2, 2 (2 x[5] + 2 x[1] + x[3]) t + (2 x[3] + x[4]) t + 2 x[4] + x[1] + x[5] 2 ], [2, (x[1] + 2 x[2]) t + (x[5] + 2 x[2] + 2 x[1] + x[3] + x[4]) t + 2 x[5] + 2 x[2] + 2 x[3] + 2 x[4]], [2, 2 (2 x[5] + 2 x[1] + x[4]) t + (2 x[4] + x[3]) t + x[5] + x[1] + 2 x[3] ]] Knot, 26 [[6, 0]] Knot, 27 [[6, 0]] Knot, 28 [[6, 0]] Knot, 29 [[54, 0]] Knot, 30 [[6, 0]] Knot, 31 [[6, 0]] Knot, 32 2 [[6, 0], [4, (x[1] + 2 x[2]) t + (2 x[1] + x[2]) t], [4, 2 (x[2] + x[3] + x[4] + x[5]) t + (2 x[2] + 2 x[3] + 2 x[4] + 2 x[5]) t 2 ], [4, (2 x[1] + x[3] + x[4]) t + (x[1] + 2 x[3] + 2 x[4]) t], 2 [4, (2 x[1] + 2 x[4]) t + (x[1] + x[4]) t], 2 [4, (x[1] + 2 x[3] + 2 x[4]) t + (2 x[1] + x[3] + x[4]) t], 2 [4, (x[5] + 2 x[3] + 2 x[4]) t + (2 x[5] + x[3] + x[4]) t], 2 [4, (2 x[5] + 2 x[1] + x[3]) t + (x[5] + x[1] + 2 x[3]) t], [4, 2 (2 x[3] + 2 x[1] + x[2] + x[4]) t + (x[1] + x[3] + 2 x[2] + 2 x[4]) t 2 ], [4, (x[4] + 2 x[5] + 2 x[1]) t + (x[5] + 2 x[4] + x[1]) t], 2 [4, (2 x[5] + 2 x[3]) t + (x[5] + x[3]) t], 2 [4, (x[5] + x[3]) t + (2 x[5] + 2 x[3]) t], 2 [4, (x[5] + 2 x[4] + x[2]) t + (2 x[2] + x[4] + 2 x[5]) t], [4, 2 (x[1] + x[3] + 2 x[2] + 2 x[4]) t + (2 x[3] + 2 x[1] + x[2] + x[4]) t 2 ], [4, (2 x[1] + x[3] + x[2] + x[4] + 2 x[5]) t + (x[5] + x[1] + 2 x[3] + 2 x[2] + 2 x[4]) t], 2 [4, (2 x[1] + 2 x[5] + 2 x[2]) t + (x[1] + x[5] + x[2]) t], 2 [4, (2 x[2] + x[4] + 2 x[5]) t + (x[5] + 2 x[4] + x[2]) t], 2 [4, (x[5] + x[1] + 2 x[3]) t + (2 x[5] + 2 x[1] + x[3]) t], 2 [4, (2 x[5] + x[3] + x[4]) t + (x[5] + 2 x[3] + 2 x[4]) t], [4, 2 (2 x[2] + 2 x[3] + 2 x[4] + 2 x[5]) t + (x[2] + x[3] + x[4] + x[5]) t 2 ], [4, (x[5] + x[1] + 2 x[3] + 2 x[2] + 2 x[4]) t + (2 x[1] + x[3] + x[2] + x[4] + 2 x[5]) t], 2 [4, (x[1] + x[5] + x[2]) t + (2 x[1] + 2 x[5] + 2 x[2]) t], 2 [4, (x[1] + x[4]) t + (2 x[1] + 2 x[4]) t], 2 [4, (2 x[1] + x[2]) t + (x[1] + 2 x[2]) t], 2 [4, (x[5] + 2 x[4] + x[1]) t + (x[4] + 2 x[5] + 2 x[1]) t]] Knot, 33 [[30, 0], [4, 2 (2 x[1] + x[2] + x[3] + x[5]) t + (2 x[5] + 2 x[2] + x[1] + 2 x[3]) t 2 ], [4, (x[2] + x[4]) t + (2 x[4] + 2 x[2]) t], 2 [4, (2 x[4] + 2 x[2]) t + (x[2] + x[4]) t], 2 [4, (x[2] + x[3]) t + (2 x[2] + 2 x[3]) t], 2 [4, (2 x[2] + 2 x[3]) t + (x[2] + x[3]) t], [4, 2 (2 x[5] + 2 x[2] + x[1] + 2 x[3]) t + (2 x[1] + x[2] + x[3] + x[5]) t ]] Knot, 34 [[54, 0]] Knot, 35 [[54, 0]]