Generated 7/8/04 2-cocycle twisted invariants Z_5[t,t^(-1)]/(t^2+2t+2) 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 [[6, 0], [1, (2 x[3] + 3 x[2]) t + 3 x[3] + 2 x[2]], [1, (3 x[3] + 2 x[2]) t + 2 x[3] + 3 x[2]], [1, 2 x[2] t + 3 x[2]], [1, 3 x[2] t + 2 x[2]], [1, 2 x[3] t + 3 x[3]], [1, 3 x[3] t + 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 [[6, 0], [2, (4 x[3] + 4 x[2]) t + x[2] + x[3]], [2, (2 x[2] + 4 x[3]) t + x[3] + 3 x[2]], [2, (4 x[2] + 2 x[3]) t + x[2] + 3 x[3]]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0], [2, (4 x[2] + 3 x[3]) t + 2 x[3] + x[2]], [2, (4 x[3] + 3 x[2]) t + x[3] + 2 x[2]], [2, (3 x[2] + 3 x[3]) t + 2 x[3] + 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 [[6, 0], [2, (4 x[3] + 4 x[2]) t + x[2] + x[3]], [2, (4 x[3] + 2 x[2]) t + x[3] + 3 x[2]], [2, (4 x[2] + 2 x[3]) t + x[2] + 3 x[3]]] 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 [[6, 0], [4, (2 x[3] + 4 x[2]) t + x[2] + 3 x[3]], [4, (4 x[3] + 4 x[2]) t + x[2] + x[3]], [4, (2 x[2] + 4 x[3]) t + x[3] + 3 x[2]], [4, (x[2] + x[3]) t + 4 x[3] + 4 x[2]], [4, (x[3] + 3 x[2]) t + 2 x[2] + 4 x[3]], [4, (x[2] + 3 x[3]) t + 2 x[3] + 4 x[2]]] 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 [[6, 0], [1, (3 x[1] + 2 x[5]) t + 2 x[1] + 3 x[5]], [1, (2 x[1] + 3 x[5]) t + 3 x[1] + 2 x[5]], [1, 3 x[5] t + 2 x[5]], [1, 2 x[1] t + 3 x[1]], [1, 2 x[5] t + 3 x[5]], [1, 3 x[1] t + 2 x[1]] ] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 [[6, 0], [2, (4 x[5] + 2 x[1]) t + x[5] + 3 x[1]], [2, (2 x[5] + 4 x[1]) t + x[1] + 3 x[5]], [2, (4 x[1] + 4 x[5]) t + x[5] + x[1]]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0], [2, (4 x[1] + 3 x[5]) t + x[1] + 2 x[5]], [2, (3 x[5] + 3 x[1]) t + 2 x[1] + 2 x[5]], [2, (4 x[5] + 3 x[1]) t + 2 x[1] + 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 [[6, 0], [2, (4 x[5] + 2 x[1]) t + x[5] + 3 x[1]], [2, (4 x[1] + 4 x[5]) t + x[5] + x[1]], [2, (4 x[1] + 2 x[5]) t + x[1] + 3 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 [[6, 0], [4, (x[1] + 3 x[5]) t + 2 x[5] + 4 x[1]], [4, (x[5] + 3 x[1]) t + 2 x[1] + 4 x[5]], [4, (2 x[1] + 4 x[5]) t + x[5] + 3 x[1]], [4, (2 x[5] + 4 x[1]) t + x[1] + 3 x[5]], [4, (4 x[1] + 4 x[5]) t + x[5] + x[1]], [4, (x[5] + x[1]) t + 4 x[1] + 4 x[5]]] 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 [[6, 0], [1, (2 x[1] + 3 x[4]) t + 3 x[1] + 2 x[4]], [1, 3 x[1] t + 2 x[1]], [1, 2 x[1] t + 3 x[1]], [1, 2 x[4] t + 3 x[4]], [1, 3 x[4] t + 2 x[4]], [1, (3 x[1] + 2 x[4]) t + 2 x[1] + 3 x[4]]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 [[6, 0], [2, (4 x[4] + 2 x[1]) t + x[4] + 3 x[1]], [2, (2 x[4] + 4 x[1]) t + x[1] + 3 x[4]], [2, (4 x[1] + 4 x[4]) t + x[4] + x[1]]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0], [2, (4 x[1] + 3 x[4]) t + x[1] + 2 x[4]], [2, (4 x[4] + 3 x[1]) t + 2 x[1] + x[4]], [2, (3 x[4] + 3 x[1]) t + 2 x[1] + 2 x[4]]] 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 [[6, 0], [2, (4 x[1] + 4 x[4]) t + x[4] + x[1]], [2, (4 x[1] + 2 x[4]) t + x[1] + 3 x[4]], [2, (4 x[4] + 2 x[1]) t + x[4] + 3 x[1]]] 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 [[6, 0], [4, (x[4] + x[1]) t + 4 x[1] + 4 x[4]], [4, (x[1] + 3 x[4]) t + 2 x[4] + 4 x[1]], [4, (x[4] + 3 x[1]) t + 2 x[1] + 4 x[4]], [4, (2 x[4] + 4 x[1]) t + x[1] + 3 x[4]], [4, (2 x[1] + 4 x[4]) t + x[4] + 3 x[1]], [4, (4 x[1] + 4 x[4]) t + x[4] + x[1]]] 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 [[6, 0], [1, 2 x[2] t + 3 x[2]], [1, 3 x[6] t + 2 x[6]], [1, (2 x[6] + 3 x[2]) t + 3 x[6] + 2 x[2]], [1, 2 x[6] t + 3 x[6]], [1, (3 x[6] + 2 x[2]) t + 2 x[6] + 3 x[2]], [1, 3 x[2] t + 2 x[2]]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 [[6, 0], [2, (2 x[2] + 4 x[6]) t + x[6] + 3 x[2]], [2, (4 x[6] + 4 x[2]) t + x[2] + x[6]], [2, (4 x[2] + 2 x[6]) t + x[2] + 3 x[6]]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0], [2, (4 x[2] + 3 x[6]) t + 2 x[6] + x[2]], [2, (4 x[6] + 3 x[2]) t + x[6] + 2 x[2]], [2, (3 x[2] + 3 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 [[6, 0], [2, (4 x[2] + 2 x[6]) t + x[2] + 3 x[6]], [2, (4 x[6] + 4 x[2]) t + x[2] + x[6]], [2, (4 x[6] + 2 x[2]) t + x[6] + 3 x[2]]] 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 [[6, 0], [4, (2 x[2] + 4 x[6]) t + x[6] + 3 x[2]], [4, (x[2] + x[6]) t + 4 x[6] + 4 x[2]], [4, (x[6] + 3 x[2]) t + 2 x[2] + 4 x[6]], [4, (x[2] + 3 x[6]) t + 2 x[6] + 4 x[2]], [4, (4 x[6] + 4 x[2]) t + x[2] + x[6]], [4, (2 x[6] + 4 x[2]) t + x[2] + 3 x[6]]] 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 [[6, 0], [1, 3 x[2] t + 2 x[2]], [1, 3 x[4] t + 2 x[4]], [1, (3 x[4] + 2 x[2]) t + 2 x[4] + 3 x[2]], [1, 2 x[2] t + 3 x[2]], [1, 2 x[4] t + 3 x[4]], [1, (2 x[4] + 3 x[2]) t + 3 x[4] + 2 x[2]]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 [[6, 0], [2, (4 x[4] + 4 x[2]) t + x[2] + x[4]], [2, (2 x[2] + 4 x[4]) t + x[4] + 3 x[2]], [2, (4 x[2] + 2 x[4]) t + x[2] + 3 x[4]]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0], [2, (4 x[2] + 3 x[4]) t + 2 x[4] + x[2]], [2, (3 x[2] + 3 x[4]) t + 2 x[4] + 2 x[2]], [2, (4 x[4] + 3 x[2]) t + x[4] + 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 [[6, 0], [2, (4 x[2] + 2 x[4]) t + x[2] + 3 x[4]], [2, (4 x[4] + 4 x[2]) t + x[2] + x[4]], [2, (4 x[4] + 2 x[2]) t + x[4] + 3 x[2]]] 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 [[6, 0], [4, (x[2] + 3 x[4]) t + 2 x[4] + 4 x[2]], [4, (2 x[4] + 4 x[2]) t + x[2] + 3 x[4]], [4, (4 x[4] + 4 x[2]) t + x[2] + x[4]], [4, (x[4] + 3 x[2]) t + 2 x[2] + 4 x[4]], [4, (2 x[2] + 4 x[4]) t + x[4] + 3 x[2]], [4, (x[2] + x[4]) t + 4 x[4] + 4 x[2]]] 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 [[6, 0], [2, (x[7] + 4 x[2]) t + 4 x[7] + x[2]], [2, (3 x[1] + 4 x[2] + x[7]) t + x[2] + 2 x[1] + 4 x[7]], [2, (x[2] + 2 x[1] + 4 x[7]) t + 3 x[1] + 4 x[2] + x[7]], [2, (4 x[7] + x[2]) t + x[7] + 4 x[2]], [2, (x[2] + x[7]) t + 4 x[2] + 4 x[7]], [2, (4 x[2] + 4 x[7]) t + x[2] + x[7]]] 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], [2, (3 x[1] + 4 x[2] + x[7]) t + x[2] + 2 x[1] + 4 x[7]], [2, (x[2] + 2 x[1] + 4 x[7]) t + 3 x[1] + 4 x[2] + x[7]], [2, (4 x[7] + x[2]) t + x[7] + 4 x[2]], [2, (4 x[2] + 4 x[7]) t + x[2] + x[7]], [2, (x[7] + 4 x[2]) t + 4 x[7] + x[2]], [2, (x[2] + x[7]) t + 4 x[2] + 4 x[7]]] Knot, 10 [[6, 0], [2, (3 x[1] + 4 x[2] + x[7]) t + x[2] + 2 x[1] + 4 x[7]], [2, (x[2] + 2 x[1] + 4 x[7]) t + 3 x[1] + 4 x[2] + x[7]], [2, (4 x[7] + x[2]) t + x[7] + 4 x[2]], [2, (4 x[2] + 4 x[7]) t + x[2] + x[7]], [2, (x[7] + 4 x[2]) t + 4 x[7] + x[2]], [2, (x[2] + x[7]) t + 4 x[2] + 4 x[7]]] Knot, 11 [[6, 0]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0]] Knot, 15 [[18, 0]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0], [2, (3 x[2] + x[1] + 2 x[7]) t + 2 x[2] + 4 x[1] + 3 x[7]], [2, (2 x[2] + 4 x[1] + 3 x[7]) t + 3 x[2] + x[1] + 2 x[7]], [2, (3 x[7] + 2 x[2]) t + 2 x[7] + 3 x[2]], [2, (3 x[7] + 3 x[2]) t + 2 x[2] + 2 x[7]], [2, (2 x[2] + 2 x[7]) t + 3 x[7] + 3 x[2]], [2, (2 x[7] + 3 x[2]) t + 3 x[7] + 2 x[2]]] 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 [[6, 0], [2, (3 x[1] + 4 x[2] + x[7]) t + x[2] + 2 x[1] + 4 x[7]], [2, (4 x[2] + 4 x[7]) t + x[2] + x[7]], [2, (x[2] + 2 x[1] + 4 x[7]) t + 3 x[1] + 4 x[2] + x[7]], [2, (x[2] + x[7]) t + 4 x[2] + 4 x[7]], [2, (x[7] + 4 x[2]) t + 4 x[7] + x[2]], [2, (4 x[7] + x[2]) t + x[7] + 4 x[2]]] Knot, 26 [[6, 0]] Knot, 27 [[6, 0], [2, (x[2] + 2 x[1] + 4 x[7]) t + 3 x[1] + 4 x[2] + x[7]], [2, (x[2] + x[7]) t + 4 x[2] + 4 x[7]], [2, (4 x[2] + 4 x[7]) t + x[2] + x[7]], [2, (4 x[7] + x[2]) t + x[7] + 4 x[2]], [2, (3 x[1] + 4 x[2] + x[7]) t + x[2] + 2 x[1] + 4 x[7]], [2, (x[7] + 4 x[2]) t + 4 x[7] + x[2]]] Knot, 28 [[6, 0]] Knot, 29 [[18, 0]] Knot, 30 [[6, 0]] Knot, 31 [[6, 0]] Knot, 32 [[6, 0], [8, (3 x[1] + 4 x[2] + x[7]) t + x[2] + 2 x[1] + 4 x[7]], [2, (3 x[2] + x[1] + 2 x[7]) t + 2 x[2] + 4 x[1] + 3 x[7]], [8, (x[2] + 2 x[1] + 4 x[7]) t + 3 x[1] + 4 x[2] + x[7]], [2, (2 x[2] + 4 x[1] + 3 x[7]) t + 3 x[2] + x[1] + 2 x[7]], [2, (2 x[7] + 3 x[2]) t + 3 x[7] + 2 x[2]], [8, (4 x[7] + x[2]) t + x[7] + 4 x[2]], [8, (x[2] + x[7]) t + 4 x[2] + 4 x[7]], [2, (2 x[2] + 2 x[7]) t + 3 x[7] + 3 x[2]], [2, (3 x[7] + 3 x[2]) t + 2 x[2] + 2 x[7]], [8, (4 x[2] + 4 x[7]) t + x[2] + x[7]], [2, (3 x[7] + 2 x[2]) t + 2 x[7] + 3 x[2]], [8, (x[7] + 4 x[2]) t + 4 x[7] + x[2]]] 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 [[6, 0], [1, 3 x[1] t + 2 x[1]], [1, 2 x[1] t + 3 x[1]], [1, (3 x[4] + 2 x[1]) t + 2 x[4] + 3 x[1]], [1, (2 x[4] + 3 x[1]) t + 3 x[4] + 2 x[1]], [1, 2 x[4] t + 3 x[4]], [1, 3 x[4] t + 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 [[6, 0], [2, (4 x[1] + 2 x[4]) t + x[1] + 3 x[4]], [2, (2 x[1] + 4 x[4]) t + x[4] + 3 x[1]], [2, (4 x[4] + 4 x[1]) t + x[1] + x[4]]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0], [2, (3 x[1] + 3 x[4]) t + 2 x[4] + 2 x[1]], [2, (4 x[1] + 3 x[4]) t + 2 x[4] + x[1]], [2, (4 x[4] + 3 x[1]) t + x[4] + 2 x[1]]] 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 [[6, 0], [2, (4 x[1] + 2 x[4]) t + x[1] + 3 x[4]], [2, (4 x[4] + 4 x[1]) t + x[1] + x[4]], [2, (4 x[4] + 2 x[1]) t + x[4] + 3 x[1]]] 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 [[6, 0], [4, (2 x[1] + 4 x[4]) t + x[4] + 3 x[1]], [4, (x[4] + 3 x[1]) t + 2 x[1] + 4 x[4]], [4, (x[1] + 3 x[4]) t + 2 x[4] + 4 x[1]], [4, (2 x[4] + 4 x[1]) t + x[1] + 3 x[4]], [4, (4 x[4] + 4 x[1]) t + x[1] + x[4]], [4, (x[1] + x[4]) t + 4 x[4] + 4 x[1]]] 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 [[6, 0], [2, (3 x[2] + 4 x[1] + x[4]) t + x[1] + 2 x[2] + 4 x[4]], [2, (x[1] + 2 x[2] + 4 x[4]) t + 3 x[2] + 4 x[1] + x[4]], [2, (4 x[1] + 4 x[4]) t + x[1] + x[4]], [2, (x[4] + 4 x[1]) t + 4 x[4] + x[1]], [2, (4 x[4] + x[1]) t + x[4] + 4 x[1]], [2, (x[1] + x[4]) t + 4 x[1] + 4 x[4]]] 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], [2, (3 x[2] + 4 x[1] + x[4]) t + x[1] + 2 x[2] + 4 x[4]], [2, (x[1] + 2 x[2] + 4 x[4]) t + 3 x[2] + 4 x[1] + x[4]], [2, (4 x[4] + x[1]) t + x[4] + 4 x[1]], [2, (x[1] + x[4]) t + 4 x[1] + 4 x[4]], [2, (4 x[1] + 4 x[4]) t + x[1] + x[4]], [2, (x[4] + 4 x[1]) t + 4 x[4] + x[1]]] Knot, 10 [[6, 0], [2, (3 x[2] + 4 x[1] + x[4]) t + x[1] + 2 x[2] + 4 x[4]], [2, (x[1] + 2 x[2] + 4 x[4]) t + 3 x[2] + 4 x[1] + x[4]], [2, (4 x[4] + x[1]) t + x[4] + 4 x[1]], [2, (x[1] + x[4]) t + 4 x[1] + 4 x[4]], [2, (4 x[1] + 4 x[4]) t + x[1] + x[4]], [2, (x[4] + 4 x[1]) t + 4 x[4] + x[1]]] Knot, 11 [[6, 0]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0]] Knot, 15 [[18, 0]] Knot, 16 [[6, 0]] Knot, 17 [[6, 0]] Knot, 18 [[6, 0], [2, (3 x[1] + x[2] + 2 x[4]) t + 2 x[1] + 4 x[2] + 3 x[4]], [2, (3 x[4] + 3 x[1]) t + 2 x[1] + 2 x[4]], [2, (2 x[4] + 3 x[1]) t + 3 x[4] + 2 x[1]], [2, (2 x[1] + 4 x[2] + 3 x[4]) t + 3 x[1] + x[2] + 2 x[4]], [2, (3 x[4] + 2 x[1]) t + 2 x[4] + 3 x[1]], [2, (2 x[1] + 2 x[4]) t + 3 x[4] + 3 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 [[6, 0], [2, (x[1] + 2 x[2] + 4 x[4]) t + 3 x[2] + 4 x[1] + x[4]], [2, (x[4] + 4 x[1]) t + 4 x[4] + x[1]], [2, (4 x[4] + x[1]) t + x[4] + 4 x[1]], [2, (x[1] + x[4]) t + 4 x[1] + 4 x[4]], [2, (4 x[1] + 4 x[4]) t + x[1] + x[4]], [2, (3 x[2] + 4 x[1] + x[4]) t + x[1] + 2 x[2] + 4 x[4]]] Knot, 26 [[6, 0]] Knot, 27 [[6, 0], [2, (x[4] + 4 x[1]) t + 4 x[4] + x[1]], [2, (4 x[4] + x[1]) t + x[4] + 4 x[1]], [2, (x[1] + x[4]) t + 4 x[1] + 4 x[4]], [2, (4 x[1] + 4 x[4]) t + x[1] + x[4]], [2, (x[1] + 2 x[2] + 4 x[4]) t + 3 x[2] + 4 x[1] + x[4]], [2, (3 x[2] + 4 x[1] + x[4]) t + x[1] + 2 x[2] + 4 x[4]]] Knot, 28 [[6, 0]] Knot, 29 [[18, 0]] Knot, 30 [[6, 0]] Knot, 31 [[6, 0]] Knot, 32 [[6, 0], [2, (3 x[4] + 3 x[1]) t + 2 x[1] + 2 x[4]], [2, (3 x[1] + x[2] + 2 x[4]) t + 2 x[1] + 4 x[2] + 3 x[4]], [8, (x[1] + 2 x[2] + 4 x[4]) t + 3 x[2] + 4 x[1] + x[4]], [2, (2 x[1] + 4 x[2] + 3 x[4]) t + 3 x[1] + x[2] + 2 x[4]], [8, (4 x[1] + 4 x[4]) t + x[1] + x[4]], [8, (x[1] + x[4]) t + 4 x[1] + 4 x[4]], [2, (3 x[4] + 2 x[1]) t + 2 x[4] + 3 x[1]], [8, (x[4] + 4 x[1]) t + 4 x[4] + x[1]], [2, (2 x[4] + 3 x[1]) t + 3 x[4] + 2 x[1]], [8, (4 x[4] + x[1]) t + x[4] + 4 x[1]], [2, (2 x[1] + 2 x[4]) t + 3 x[4] + 3 x[1]], [8, (3 x[2] + 4 x[1] + x[4]) t + x[1] + 2 x[2] + 4 x[4]]] 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 [[6, 0], [2, (3 x[5] + x[2] + 4 x[3]) t + 4 x[2] + x[3] + 2 x[5]], [2, (3 x[2] + x[5] + 4 x[1]) t + 4 x[5] + 2 x[2] + x[1]], [2, (4 x[3] + x[2] + x[1]) t + 4 x[2] + 4 x[1] + x[3]], [2, (4 x[2] + x[3] + 2 x[5]) t + 3 x[5] + x[2] + 4 x[3]], [2, (4 x[2] + 4 x[1] + x[3]) t + 4 x[3] + x[2] + x[1]], [2, (4 x[5] + 2 x[2] + x[1]) t + 3 x[2] + x[5] + 4 x[1]], [2, (4 x[5] + 4 x[3] + x[1]) t + x[3] + 4 x[1] + x[5]], [2, (x[3] + 4 x[1] + x[5]) t + 4 x[5] + 4 x[3] + x[1]], [2, (x[1] + x[3]) t + 4 x[1] + 4 x[3]], [2, (4 x[1] + 4 x[3]) t + x[1] + x[3]]] 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 [[6, 0], [2, (4 x[2] + x[1] + 3 x[3]) t + 4 x[1] + x[2] + 2 x[3]], [2, (3 x[1] + 4 x[5] + x[3]) t + 4 x[3] + x[5] + 2 x[1]], [2, (2 x[5] + x[3] + 2 x[1]) t + 3 x[5] + 4 x[3] + 3 x[1]], [2, (2 x[2] + x[1] + 2 x[3]) t + 4 x[1] + 3 x[3] + 3 x[2]], [2, (3 x[2] + x[1] + 3 x[3] + 4 x[5]) t + 2 x[2] + 4 x[1] + x[5] + 2 x[3]] , [2, (4 x[2] + 4 x[5] + 3 x[3] + 3 x[1]) t + x[5] + 2 x[3] + x[2] + 2 x[1]] , [2, (x[2] + 3 x[5] + 3 x[1] + 2 x[3]) t + 3 x[3] + 4 x[2] + 2 x[1] + 2 x[5]], [2, (x[3] + 3 x[5] + 3 x[1] + 4 x[2]) t + 2 x[5] + 4 x[3] + x[2] + 2 x[1]] , [2, (x[1] + x[3] + 4 x[5] + 4 x[2]) t + 4 x[3] + x[2] + 4 x[1] + x[5]] , [2, (x[5] + 3 x[2] + 3 x[3] + 2 x[1]) t + 3 x[1] + 4 x[5] + 2 x[3] + 2 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 [[6, 0], [2, (4 x[3] + 2 x[5] + 4 x[2] + 3 x[1]) t + 2 x[1] + 3 x[5] + x[2] + x[3]] , [2, (3 x[3] + x[5] + x[1]) t + 2 x[3] + 4 x[5] + 4 x[1]], [2, (x[2] + 3 x[1] + x[3]) t + 2 x[1] + 4 x[2] + 4 x[3]], [2, (3 x[3] + 4 x[1] + 2 x[5]) t + 3 x[5] + 2 x[3] + x[1]], [2, (3 x[1] + 2 x[2] + 4 x[3]) t + 3 x[2] + 2 x[1] + x[3]], [2, (4 x[1] + 2 x[2] + 3 x[3] + 4 x[5]) t + 2 x[3] + 3 x[2] + x[5] + x[1]] , [ 2, (3 x[2] + 4 x[5] + 4 x[1] + x[3]) t + 2 x[2] + 4 x[3] + x[5] + x[1] ], [2, (2 x[2] + 2 x[5] + 3 x[1] + 3 x[3]) t + 2 x[3] + 2 x[1] + 3 x[2] + 3 x[5]], [ 2, (3 x[5] + 4 x[2] + 4 x[3] + x[1]) t + 2 x[5] + 4 x[1] + x[2] + x[3] ], [2, (4 x[1] + 2 x[5] + 2 x[2] + 4 x[3]) t + 3 x[2] + 3 x[5] + x[3] + x[1]] ] Knot, 23 [[6, 0], [2, (4 x[5] + 4 x[3] + x[1]) t + x[3] + 4 x[1] + x[5]], [2, (4 x[5] + 2 x[2] + x[1]) t + 3 x[2] + x[5] + 4 x[1]], [2, (4 x[2] + x[3] + 2 x[5]) t + 3 x[5] + x[2] + 4 x[3]], [2, (4 x[3] + x[2] + x[1]) t + 4 x[2] + 4 x[1] + x[3]], [2, (x[3] + 4 x[1] + x[5]) t + 4 x[5] + 4 x[3] + x[1]], [2, (3 x[2] + x[5] + 4 x[1]) t + 4 x[5] + 2 x[2] + x[1]], [2, (4 x[2] + 4 x[1] + x[3]) t + 4 x[3] + x[2] + x[1]], [2, (x[1] + x[3]) t + 4 x[1] + 4 x[3]], [2, (3 x[5] + x[2] + 4 x[3]) t + 4 x[2] + x[3] + 2 x[5]], [2, (4 x[1] + 4 x[3]) t + x[1] + x[3]]] 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, (4 x[5] + x[2] + x[3]) t + 4 x[3] + 4 x[2] + x[5]], [2, (3 x[2] + 3 x[1] + 2 x[5] + x[3]) t + 3 x[5] + 2 x[2] + 2 x[1] + 4 x[3]], [2, (4 x[2] + x[5] + x[1]) t + 4 x[1] + 4 x[5] + x[2]], [2, (x[2] + 3 x[5] + x[1]) t + 4 x[2] + 2 x[5] + 4 x[1]], [2, (3 x[2] + x[5] + x[3]) t + 4 x[5] + 2 x[2] + 4 x[3]], [2, (3 x[1] + 4 x[2]) t + 2 x[1] + x[2]], [2, (2 x[2] + x[1] + 3 x[5] + 3 x[3]) t + 3 x[2] + 2 x[3] + 2 x[5] + 4 x[1]], [2, (x[5] + x[2] + x[1] + x[3]) t + 4 x[3] + 4 x[5] + 4 x[1] + 4 x[2]] , [2, (x[2] + x[5]) t + 4 x[5] + 4 x[2]], [2, (3 x[3] + 4 x[5]) t + 2 x[3] + x[5]]] Knot, 31 [[6, 0]] Knot, 32 [[6, 0], [2, (x[5] + 2 x[2] + 3 x[3]) t + 3 x[2] + 2 x[3] + 4 x[5]], [2, (x[2] + 2 x[5] + 3 x[1]) t + 3 x[5] + 4 x[2] + 2 x[1]], [2, (3 x[2] + 2 x[3] + 4 x[5]) t + x[5] + 2 x[2] + 3 x[3]], [2, (3 x[2] + 3 x[1] + 2 x[3]) t + 3 x[3] + 2 x[2] + 2 x[1]], [2, (2 x[3] + 3 x[1] + 2 x[5]) t + 3 x[5] + 3 x[3] + 2 x[1]], [2, (3 x[5] + 4 x[2] + 2 x[1]) t + x[2] + 2 x[5] + 3 x[1]], [2, (3 x[5] + 3 x[3] + 2 x[1]) t + 2 x[3] + 3 x[1] + 2 x[5]], [2, (3 x[3] + 2 x[2] + 2 x[1]) t + 3 x[2] + 3 x[1] + 2 x[3]], [2, (2 x[1] + 2 x[3]) t + 3 x[1] + 3 x[3]], [2, (3 x[1] + 3 x[3]) t + 2 x[1] + 2 x[3]]] Knot, 33 [[6, 0]] Knot, 34 [[6, 0]] Knot, 35 [[6, 0], [2, (3 x[5] + 2 x[2] + 2 x[1] + 4 x[3]) t + 2 x[5] + 3 x[1] + 3 x[2] + x[3]], [2, (4 x[1] + 4 x[5] + x[2]) t + x[5] + x[1] + 4 x[2]], [2, (4 x[3] + 4 x[2] + x[5]) t + x[2] + x[3] + 4 x[5]], [2, (4 x[2] + 2 x[5] + 4 x[1]) t + x[1] + x[2] + 3 x[5]], [2, (4 x[5] + 2 x[2] + 4 x[3]) t + x[3] + x[5] + 3 x[2]], [2, (2 x[1] + x[2]) t + 4 x[2] + 3 x[1]], [2, (4 x[5] + 4 x[2]) t + x[2] + x[5]], [2, (2 x[3] + x[5]) t + 4 x[5] + 3 x[3]], [2, (4 x[3] + 4 x[5] + 4 x[1] + 4 x[2]) t + x[2] + x[3] + x[5] + x[1]] , [2, (3 x[2] + 2 x[3] + 2 x[5] + 4 x[1]) t + 2 x[2] + 3 x[3] + 3 x[5] + x[1]]] [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 [[6, 0], [1, (3 x[1] + 2 x[2]) t + 2 x[1] + 3 x[2]], [1, (2 x[1] + 3 x[2]) t + 3 x[1] + 2 x[2]], [1, (2 x[4] + 3 x[6]) t + 3 x[4] + 2 x[6]], [1, 2 x[2] t + 3 x[2]], [1, 3 x[2] t + 2 x[2]], [1, 2 x[1] t + 3 x[1]], [1, (3 x[4] + 2 x[6]) t + 2 x[4] + 3 x[6]], [1, 3 x[1] t + 2 x[1]], [1, 3 x[6] t + 2 x[6]], [1, 3 x[4] t + 2 x[4]], [1, 2 x[4] t + 3 x[4]], [1, 2 x[6] t + 3 x[6]]] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 [[6, 0], [2, (2 x[2] + 4 x[1]) t + x[1] + 3 x[2]], [2, (2 x[6] + 4 x[4]) t + x[4] + 3 x[6]], [2, (4 x[2] + 2 x[1]) t + x[2] + 3 x[1]], [2, (4 x[1] + 4 x[2]) t + x[2] + x[1]], [2, (4 x[6] + 2 x[4]) t + x[6] + 3 x[4]], [2, (4 x[4] + 4 x[6]) t + x[6] + x[4]]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0], [2, (4 x[2] + 3 x[1]) t + 2 x[1] + x[2]], [2, (4 x[6] + 3 x[4]) t + 2 x[4] + x[6]], [2, (4 x[4] + 3 x[6]) t + x[4] + 2 x[6]], [2, (4 x[1] + 3 x[2]) t + x[1] + 2 x[2]], [2, (3 x[6] + 3 x[4]) t + 2 x[4] + 2 x[6]], [2, (3 x[2] + 3 x[1]) t + 2 x[1] + 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 [[6, 0], [2, (4 x[4] + 4 x[6]) t + x[6] + x[4]], [2, (4 x[2] + 2 x[1]) t + x[2] + 3 x[1]], [2, (4 x[1] + 2 x[2]) t + x[1] + 3 x[2]], [2, (4 x[1] + 4 x[2]) t + x[2] + x[1]], [2, (4 x[6] + 2 x[4]) t + x[6] + 3 x[4]], [2, (4 x[4] + 2 x[6]) t + x[4] + 3 x[6]]] 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 [[6, 0], [4, (2 x[4] + 4 x[6]) t + x[6] + 3 x[4]], [4, (4 x[4] + 4 x[6]) t + x[6] + x[4]], [4, (2 x[6] + 4 x[4]) t + x[4] + 3 x[6]], [4, (x[1] + 3 x[2]) t + 2 x[2] + 4 x[1]], [4, (x[4] + 3 x[6]) t + 2 x[6] + 4 x[4]], [4, (x[2] + 3 x[1]) t + 2 x[1] + 4 x[2]], [4, (4 x[1] + 4 x[2]) t + x[2] + x[1]], [4, (x[2] + x[1]) t + 4 x[1] + 4 x[2]], [4, (x[6] + x[4]) t + 4 x[4] + 4 x[6]], [4, (2 x[1] + 4 x[2]) t + x[2] + 3 x[1]], [4, (x[6] + 3 x[4]) t + 2 x[4] + 4 x[6]], [4, (2 x[2] + 4 x[1]) t + x[1] + 3 x[2]]] 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 [[6, 0], [1, (2 x[1] + 3 x[4]) t + 3 x[1] + 2 x[4]], [1, (3 x[6] + 2 x[2]) t + 3 x[2] + 2 x[6]], [1, 3 x[1] t + 2 x[1]], [1, (3 x[1] + 2 x[4]) t + 2 x[1] + 3 x[4]], [1, (3 x[2] + 2 x[6]) t + 3 x[6] + 2 x[2]], [1, (2 x[3] + 3 x[6]) t + 3 x[3] + 2 x[6]], [1, (3 x[3] + 2 x[6]) t + 2 x[3] + 3 x[6]], [1, 2 x[4] t + 3 x[4]], [1, 3 x[4] t + 2 x[4]], [1, (3 x[2] + 2 x[3]) t + 2 x[2] + 3 x[3]], [1, 2 x[1] t + 3 x[1]], [1, (2 x[2] + 3 x[3]) t + 3 x[2] + 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 [[6, 0], [2, (4 x[4] + 2 x[1]) t + x[4] + 3 x[1]], [2, (2 x[4] + 4 x[1]) t + x[1] + 3 x[4]], [2, (4 x[2] + 4 x[3] + 2 x[6]) t + x[2] + 3 x[6] + x[3]], [2, (4 x[1] + 4 x[4]) t + x[4] + x[1]], [2, (4 x[6] + 4 x[2] + 2 x[3]) t + x[2] + 3 x[3] + x[6]], [2, (4 x[3] + 4 x[6] + 2 x[2]) t + x[6] + 3 x[2] + x[3]]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0], [2, (3 x[6] + 4 x[2] + 3 x[3]) t + x[2] + 2 x[3] + 2 x[6]], [2, (3 x[2] + 4 x[6] + 3 x[3]) t + 2 x[3] + x[6] + 2 x[2]], [2, (3 x[2] + 4 x[3] + 3 x[6]) t + x[3] + 2 x[6] + 2 x[2]], [2, (4 x[4] + 3 x[1]) t + 2 x[1] + x[4]], [2, (4 x[1] + 3 x[4]) t + x[1] + 2 x[4]], [2, (3 x[4] + 3 x[1]) t + 2 x[1] + 2 x[4]]] 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 [[6, 0], [2, (4 x[4] + 2 x[1]) t + x[4] + 3 x[1]], [2, (4 x[1] + 4 x[4]) t + x[4] + x[1]], [2, (2 x[6] + 4 x[2] + 4 x[3]) t + x[2] + 3 x[6] + x[3]], [2, (4 x[6] + 2 x[2] + 4 x[3]) t + x[6] + 3 x[2] + x[3]], [2, (4 x[2] + 2 x[3] + 4 x[6]) t + x[2] + 3 x[3] + x[6]], [2, (4 x[1] + 2 x[4]) t + x[1] + 3 x[4]]] 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 [[6, 0], [4, (4 x[6] + 2 x[2] + 4 x[3]) t + x[6] + 3 x[2] + x[3]], [4, (4 x[2] + 2 x[3] + 4 x[6]) t + x[2] + 3 x[3] + x[6]], [4, (2 x[4] + 4 x[1]) t + x[1] + 3 x[4]], [4, (2 x[6] + 4 x[2] + 4 x[3]) t + x[2] + 3 x[6] + x[3]], [4, (x[1] + 3 x[4]) t + 2 x[4] + 4 x[1]], [4, (x[4] + 3 x[1]) t + 2 x[1] + 4 x[4]], [4, (2 x[1] + 4 x[4]) t + x[4] + 3 x[1]], [4, (4 x[1] + 4 x[4]) t + x[4] + x[1]], [4, (x[2] + 3 x[6] + x[3]) t + 2 x[6] + 4 x[2] + 4 x[3]], [4, (x[4] + x[1]) t + 4 x[1] + 4 x[4]], [4, (x[2] + 3 x[3] + x[6]) t + 4 x[2] + 2 x[3] + 4 x[6]], [4, (x[6] + 3 x[2] + x[3]) t + 4 x[6] + 2 x[2] + 4 x[3]]] 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 [[6, 0], [1, (3 x[1] + 2 x[2] + 2 x[5]) t + 2 x[1] + 3 x[2] + 3 x[5]], [1, (2 x[1] + 3 x[3] + 3 x[2]) t + 3 x[1] + 2 x[3] + 2 x[2]], [1, (2 x[1] + 3 x[2] + 3 x[5]) t + 3 x[1] + 2 x[2] + 2 x[5]], [1, 2 x[5] t + 3 x[5]], [1, (2 x[1] + 3 x[2] + 2 x[4]) t + 3 x[1] + 2 x[2] + 3 x[4]], [1, 2 x[3] t + 3 x[3]], [1, (2 x[2] + 3 x[4]) t + 3 x[2] + 2 x[4]], [1, (3 x[1] + 2 x[2] + 3 x[4]) t + 2 x[1] + 3 x[2] + 2 x[4]], [1, (3 x[2] + 2 x[4]) t + 2 x[2] + 3 x[4]], [1, 3 x[5] t + 2 x[5]], [1, 3 x[1] t + 2 x[1]], [1, 2 x[2] t + 3 x[2]], [1, 3 x[4] t + 2 x[4]], [1, (2 x[1] + 3 x[5]) t + 3 x[1] + 2 x[5]], [1, (3 x[1] + 2 x[5]) t + 2 x[1] + 3 x[5]], [1, (3 x[5] + 2 x[3]) t + 2 x[5] + 3 x[3]], [1, 3 x[2] t + 2 x[2]], [1, 3 x[3] t + 2 x[3]], [1, (2 x[1] + 3 x[2] + 3 x[3] + 2 x[4]) t + 3 x[1] + 2 x[3] + 2 x[2] + 3 x[4]], [1, 2 x[1] t + 3 x[1]], [1, (2 x[5] + 3 x[3]) t + 3 x[5] + 2 x[3]], [1, (3 x[1] + 2 x[3] + 2 x[2] + 3 x[4]) t + 2 x[1] + 3 x[2] + 3 x[3] + 2 x[4]], [1, 2 x[4] t + 3 x[4]], [1, (3 x[1] + 2 x[3] + 2 x[2]) t + 2 x[1] + 3 x[3] + 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 [[6, 0], [2, (2 x[1] + 3 x[2] + 2 x[4] + 4 x[3]) t + 3 x[4] + 3 x[1] + 2 x[2] + x[3]], [2, (2 x[4] + 4 x[2]) t + x[2] + 3 x[4]], [ 2, (4 x[1] + x[2] + 4 x[5] + 2 x[3]) t + x[1] + 3 x[3] + x[5] + 4 x[2] ], [2, (4 x[1] + 4 x[5]) t + x[5] + x[1]], [2, (4 x[5] + 2 x[1]) t + x[5] + 3 x[1]], [2, (2 x[5] + 4 x[1]) t + x[1] + 3 x[5]], [2, (4 x[1] + x[2] + 4 x[3] + 4 x[4]) t + x[3] + x[1] + 4 x[2] + x[4]] , [ 2, (4 x[1] + 4 x[3] + x[2] + 2 x[5]) t + x[1] + 3 x[5] + x[3] + 4 x[2] ], [ 2, (4 x[1] + x[2] + 4 x[4] + 2 x[3]) t + x[1] + 3 x[3] + x[4] + 4 x[2] ], [2, (4 x[3] + 4 x[5] + 2 x[1] + 3 x[2]) t + 3 x[1] + 2 x[2] + x[3] + x[5]] , [2, (4 x[4] + 2 x[2]) t + x[4] + 3 x[2]], [2, (4 x[2] + 4 x[4]) t + x[4] + x[2]]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0], [2, (4 x[3] + 3 x[1] + 2 x[2] + 3 x[4]) t + 2 x[1] + 3 x[2] + x[3] + 2 x[4]], [2, (3 x[4] + 3 x[2]) t + 2 x[2] + 2 x[4]], [2, (4 x[5] + 3 x[1]) t + 2 x[1] + x[5]], [2, (3 x[5] + 3 x[1]) t + 2 x[1] + 2 x[5]], [2, (3 x[1] + 2 x[2] + 4 x[5] + 3 x[3]) t + 2 x[3] + x[5] + 2 x[1] + 3 x[2]], [ 2, (4 x[1] + x[2] + 4 x[4] + 3 x[3]) t + x[1] + 4 x[2] + 2 x[3] + x[4] ], [2, (4 x[4] + 3 x[2]) t + 2 x[2] + x[4]], [2, (4 x[2] + 3 x[4]) t + x[2] + 2 x[4]], [2, (4 x[1] + 3 x[3] + x[2] + 3 x[5]) t + x[1] + 4 x[2] + 2 x[5] + 2 x[3]] , [2, (3 x[1] + 4 x[3] + 2 x[2] + 3 x[5]) t + x[3] + 2 x[5] + 2 x[1] + 3 x[2]], [2, (3 x[3] + 3 x[1] + 2 x[2] + 3 x[4]) t + 2 x[1] + 3 x[2] + 2 x[4] + 2 x[3]], [2, (4 x[1] + 3 x[5]) t + x[1] + 2 x[5]] ] 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, (4 x[1] + x[2] + 2 x[3] + 4 x[4]) t + x[1] + 3 x[3] + x[4] + 4 x[2] ], [2, (2 x[1] + 3 x[2] + 4 x[3] + 2 x[4]) t + 3 x[4] + 3 x[1] + 2 x[2] + x[3]], [2, (4 x[2] + 4 x[4]) t + x[4] + x[2]], [2, (4 x[1] + x[2] + 4 x[4] + 4 x[3]) t + x[3] + x[1] + 4 x[2] + x[4]] , [2, (4 x[4] + 2 x[2]) t + x[4] + 3 x[2]], [2, (4 x[1] + 2 x[5]) t + x[1] + 3 x[5]], [2, (4 x[1] + 4 x[5]) t + x[5] + x[1]], [2, (4 x[5] + 2 x[1]) t + x[5] + 3 x[1]], [2, (2 x[1] + 4 x[3] + 3 x[2] + 4 x[5]) t + 3 x[1] + 2 x[2] + x[3] + x[5]] , [ 2, (4 x[1] + 2 x[3] + x[2] + 4 x[5]) t + x[1] + 3 x[3] + x[5] + 4 x[2] ], [ 2, (4 x[1] + x[2] + 2 x[5] + 4 x[3]) t + x[1] + 3 x[5] + x[3] + 4 x[2] ], [2, (4 x[2] + 2 x[4]) t + x[2] + 3 x[4]]] 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 [[6, 0], [4, (4 x[2] + 4 x[4]) t + x[4] + x[2]], [ 4, (x[1] + 3 x[3] + x[4] + 4 x[2]) t + 4 x[1] + 2 x[3] + 4 x[4] + x[2] ], [4, (2 x[5] + 4 x[1]) t + x[1] + 3 x[5]], [4, (2 x[4] + 4 x[2]) t + x[2] + 3 x[4]], [ 4, (x[1] + 3 x[5] + x[3] + 4 x[2]) t + 4 x[1] + x[2] + 2 x[5] + 4 x[3] ], [4, (x[1] + 3 x[5]) t + 2 x[5] + 4 x[1]], [4, (2 x[1] + 4 x[3] + 3 x[2] + 4 x[5]) t + 3 x[1] + 2 x[2] + x[3] + x[5]] , [4, (x[2] + 3 x[4]) t + 2 x[4] + 4 x[2]], [4, (x[5] + x[1]) t + 4 x[1] + 4 x[5]], [4, (2 x[1] + 4 x[5]) t + x[5] + 3 x[1]], [4, (3 x[4] + 3 x[1] + 2 x[2] + x[3]) t + 2 x[1] + 3 x[2] + 2 x[4] + 4 x[3]], [4, (x[4] + 3 x[2]) t + 2 x[2] + 4 x[4]], [4, (x[4] + x[2]) t + 4 x[2] + 4 x[4]], [4, (x[5] + 3 x[1]) t + 2 x[1] + 4 x[5]], [4, (2 x[2] + 4 x[4]) t + x[4] + 3 x[2]], [4, (x[3] + x[1] + 4 x[2] + x[4]) t + 4 x[3] + 4 x[1] + x[2] + 4 x[4]] , [4, (3 x[1] + 2 x[2] + x[3] + x[5]) t + 2 x[1] + 4 x[3] + 3 x[2] + 4 x[5]] , [ 4, (4 x[1] + 2 x[3] + x[2] + 4 x[5]) t + x[1] + 3 x[3] + x[5] + 4 x[2] ], [4, (4 x[1] + 4 x[5]) t + x[5] + x[1]], [4, (2 x[1] + 3 x[2] + 2 x[4] + 4 x[3]) t + 3 x[4] + 3 x[1] + 2 x[2] + x[3]], [ 4, (x[1] + 3 x[3] + x[5] + 4 x[2]) t + 4 x[1] + 2 x[3] + x[2] + 4 x[5] ], [ 4, (4 x[1] + 2 x[3] + 4 x[4] + x[2]) t + x[1] + 3 x[3] + x[4] + 4 x[2] ], [ 4, (4 x[1] + x[2] + 2 x[5] + 4 x[3]) t + x[1] + 3 x[5] + x[3] + 4 x[2] ], [4, (4 x[3] + 4 x[1] + x[2] + 4 x[4]) t + x[3] + x[1] + 4 x[2] + x[4]] ] Knot, 33 [[30, 0], [4, (4 x[1] + x[2] + 4 x[4] + x[5]) t + x[4] + 4 x[2] + x[1] + 4 x[5]] , [4, (x[1] + 4 x[3]) t + 4 x[1] + x[3]], [4, (4 x[1] + x[3]) t + x[1] + 4 x[3]], [4, (x[1] + 4 x[2]) t + 4 x[1] + x[2]], [4, (4 x[1] + x[2]) t + x[1] + 4 x[2]], [4, (x[4] + 4 x[2] + x[1] + 4 x[5]) t + 4 x[1] + x[2] + 4 x[4] + x[5]] ] 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 [[6, 0], [1, (x[2] + 4 x[4] + 3 x[5] + 2 x[3]) t + 4 x[2] + 2 x[5] + 3 x[3] + x[4]] , [ 1, (x[3] + 2 x[5] + x[4] + x[1]) t + 3 x[5] + 4 x[1] + 4 x[4] + 4 x[3] ], [ 1, (x[4] + x[1] + 3 x[3] + 4 x[5]) t + 2 x[3] + 4 x[1] + 4 x[4] + x[5] ], [1, (4 x[3] + x[4] + x[1] + 4 x[5] + 4 x[2]) t + 4 x[1] + x[2] + 4 x[4] + x[5] + x[3]], [1, (3 x[2] + 4 x[1] + x[5] + 3 x[3] + 2 x[4]) t + 2 x[3] + x[1] + 2 x[2] + 4 x[5] + 3 x[4]], [1, (4 x[2] + 2 x[5] + 3 x[1] + 4 x[3] + x[4]) t + x[2] + x[3] + 4 x[4] + 2 x[1] + 3 x[5]], [ 1, (2 x[2] + x[3] + 4 x[5] + x[4]) t + 3 x[2] + x[5] + 4 x[3] + 4 x[4] ], [ 1, (3 x[5] + 4 x[1] + 4 x[4] + 4 x[3]) t + x[3] + 2 x[5] + x[4] + x[1] ], [1, (4 x[4] + 2 x[2] + x[5] + 3 x[1] + 3 x[3]) t + 3 x[2] + 2 x[3] + 2 x[1] + 4 x[5] + x[4]], [1, (4 x[1] + x[2] + 4 x[4] + x[5] + x[3]) t + 4 x[3] + x[4] + x[1] + 4 x[5] + 4 x[2]], [ 1, (4 x[5] + 4 x[1] + 4 x[3] + 3 x[4]) t + x[1] + 2 x[4] + x[3] + x[5] ], [1, (4 x[4] + x[1] + 3 x[2] + x[3] + 3 x[5]) t + 4 x[3] + 4 x[1] + 2 x[2] + 2 x[5] + x[4]], [1, (4 x[3] + 4 x[1] + 2 x[2] + 2 x[5] + x[4]) t + 4 x[4] + x[1] + 3 x[2] + x[3] + 3 x[5]], [ 1, (3 x[2] + x[5] + 4 x[3] + 4 x[4]) t + 2 x[2] + x[3] + 4 x[5] + x[4] ], [ 1, (2 x[3] + 4 x[1] + 4 x[4] + x[5]) t + x[4] + x[1] + 3 x[3] + 4 x[5] ], [1, (2 x[1] + 4 x[3] + 2 x[4] + x[5]) t + x[3] + 4 x[5] + 3 x[1] + 3 x[4]] , [1, (3 x[2] + 2 x[3] + 2 x[1] + 4 x[5] + x[4]) t + 4 x[4] + 2 x[2] + x[5] + 3 x[1] + 3 x[3]], [ 1, (4 x[2] + 4 x[5] + x[3] + 3 x[4]) t + 2 x[4] + x[5] + 4 x[3] + x[2] ], [1, (2 x[3] + x[1] + 2 x[2] + 4 x[5] + 3 x[4]) t + 3 x[2] + 4 x[1] + x[5] + 3 x[3] + 2 x[4]], [ 1, (x[1] + 2 x[4] + x[3] + x[5]) t + 4 x[5] + 4 x[1] + 4 x[3] + 3 x[4] ], [1, (x[2] + x[3] + 4 x[4] + 2 x[1] + 3 x[5]) t + 4 x[2] + 2 x[5] + 3 x[1] + 4 x[3] + x[4]], [ 1, (2 x[4] + x[5] + 4 x[3] + x[2]) t + 4 x[2] + 4 x[5] + x[3] + 3 x[4] ], [1, (4 x[2] + 2 x[5] + 3 x[3] + x[4]) t + x[2] + 4 x[4] + 3 x[5] + 2 x[3]] , [1, (x[3] + 4 x[5] + 3 x[1] + 3 x[4]) t + 2 x[1] + 4 x[3] + 2 x[4] + x[5]] ] Knot, 6 [[6, 0]] Knot, 7 [[6, 0]] Knot, 8 [[6, 0]] Knot, 9 [[6, 0]] Knot, 10 [[6, 0]] Knot, 11 [[6, 0], [ 1, (x[3] + 4 x[4] + x[1] + 2 x[2]) t + 4 x[3] + 3 x[2] + 4 x[1] + x[4] ], [1, (4 x[5] + 4 x[1] + x[3]) t + x[1] + 4 x[3] + x[5]], [1, (2 x[1] + 4 x[5] + x[3]) t + 3 x[1] + x[5] + 4 x[3]], [1, (4 x[5] + 4 x[1] + 3 x[3]) t + 2 x[3] + x[1] + x[5]], [1, (x[3] + x[4] + x[5] + x[1] + 4 x[2]) t + 4 x[4] + 4 x[1] + x[2] + 4 x[5] + 4 x[3]], [1, (3 x[1] + x[5] + 4 x[2] + x[4] + 3 x[3]) t + x[2] + 4 x[5] + 2 x[3] + 4 x[4] + 2 x[1]], [ 1, (x[4] + 2 x[1] + x[2] + x[5]) t + 4 x[4] + 4 x[5] + 4 x[2] + 3 x[1] ], [1, (x[1] + 4 x[2] + 4 x[4] + x[3]) t + x[2] + 4 x[1] + x[4] + 4 x[3]] , [ 1, (x[5] + 4 x[1] + 3 x[4] + x[3]) t + x[1] + 2 x[4] + 4 x[3] + 4 x[5] ], [1, (3 x[2] + 4 x[5] + 2 x[1] + x[3]) t + 4 x[3] + 3 x[1] + 2 x[2] + x[5]] , [1, (3 x[1] + 3 x[2] + x[5] + 4 x[3] + 3 x[4]) t + 4 x[5] + x[3] + 2 x[4] + 2 x[2] + 2 x[1]], [1, (2 x[1] + 3 x[2] + x[4] + x[3] + 3 x[5]) t + 4 x[4] + 4 x[3] + 2 x[5] + 2 x[2] + 3 x[1]], [1, (x[1] + 2 x[2] + x[3] + 3 x[5] + x[4]) t + 2 x[5] + 4 x[3] + 3 x[2] + 4 x[1] + 4 x[4]], [ 1, (3 x[2] + x[5] + x[4] + 4 x[1]) t + x[1] + 4 x[4] + 4 x[5] + 2 x[2] ], [1, (4 x[3] + x[4] + 3 x[5] + x[2] + x[1]) t + 4 x[2] + 4 x[1] + 2 x[5] + 4 x[4] + x[3]], [ 1, (x[5] + 2 x[1] + x[3] + x[4]) t + 4 x[5] + 4 x[4] + 3 x[1] + 4 x[3] ], [1, (4 x[4] + 3 x[1] + 4 x[2] + 3 x[3]) t + x[2] + 2 x[3] + 2 x[1] + x[4]] , [1, (4 x[2] + 3 x[1] + x[5] + x[3] + 3 x[4]) t + x[2] + 4 x[3] + 2 x[4] + 2 x[1] + 4 x[5]], [1, (4 x[3] + x[4] + 3 x[1] + 3 x[2] + x[5]) t + 2 x[2] + 4 x[4] + 4 x[5] + 2 x[1] + x[3]], [1, (4 x[1] + 3 x[2] + 3 x[4] + x[5]) t + 2 x[2] + x[1] + 2 x[4] + 4 x[5]] , [ 1, (4 x[1] + x[4] + x[5] + 3 x[3]) t + 4 x[5] + x[1] + 2 x[3] + 4 x[4] ], [ 1, (3 x[1] + 4 x[4] + 4 x[2] + x[3]) t + x[4] + 4 x[3] + x[2] + 2 x[1] ], [1, (x[2] + 2 x[1] + 3 x[5] + x[4]) t + 3 x[1] + 4 x[2] + 2 x[5] + 4 x[4]] , [1, (x[1] + x[2] + x[5] + 4 x[3] + x[4]) t + 4 x[4] + 4 x[5] + 4 x[1] + 4 x[2] + x[3]]] Knot, 12 [[6, 0]] Knot, 13 [[6, 0]] Knot, 14 [[6, 0], [1, (3 x[1] + 3 x[2] + 3 x[3] + 3 x[5]) t + 2 x[5] + 2 x[1] + 2 x[2] + 2 x[3]], [1, (x[1] + x[2] + 3 x[4] + 3 x[3]) t + 4 x[1] + 4 x[2] + 2 x[3] + 2 x[4]] , [1, (2 x[2] + 3 x[5] + 3 x[1]) t + 3 x[2] + 2 x[5] + 2 x[1]], [1, (4 x[1] + 2 x[2] + 4 x[4]) t + x[4] + x[1] + 3 x[2]], [1, (x[2] + 3 x[1] + 3 x[4]) t + 4 x[2] + 2 x[4] + 2 x[1]], [1, (4 x[1] + 2 x[2] + 3 x[5]) t + 3 x[2] + x[1] + 2 x[5]], [1, (3 x[2] + 4 x[5]) t + x[5] + 2 x[2]], [1, (3 x[1] + x[2] + 4 x[5]) t + 4 x[2] + x[5] + 2 x[1]], [1, (x[1] + 3 x[4]) t + 4 x[1] + 2 x[4]], [1, (3 x[3] + 3 x[4]) t + 2 x[4] + 2 x[3]], [1, (4 x[4] + 3 x[3]) t + 2 x[3] + x[4]], [1, (3 x[4] + 2 x[1]) t + 2 x[4] + 3 x[1]], [1, (3 x[1] + 3 x[4] + 2 x[2]) t + 2 x[1] + 2 x[4] + 3 x[2]], [1, (2 x[1] + 2 x[2] + 4 x[3] + 3 x[4]) t + x[3] + 2 x[4] + 3 x[1] + 3 x[2]], [1, (3 x[4] + 4 x[3]) t + x[3] + 2 x[4]], [1, (2 x[1] + 4 x[4]) t + x[4] + 3 x[1]], [ 1, (4 x[1] + 4 x[2] + 4 x[3] + 3 x[5]) t + x[1] + x[2] + x[3] + 2 x[5] ], [1, (3 x[3] + 4 x[4] + 2 x[1] + 2 x[2]) t + 3 x[2] + x[4] + 2 x[3] + 3 x[1]], [ 1, (x[2] + 4 x[5] + x[1] + 3 x[3]) t + x[5] + 4 x[1] + 4 x[2] + 2 x[3] ], [1, (4 x[3] + 2 x[1] + 2 x[2] + 3 x[5]) t + 2 x[5] + x[3] + 3 x[1] + 3 x[2]], [1, (3 x[5] + 3 x[2]) t + 2 x[2] + 2 x[5]], [1, (4 x[5] + 3 x[2] + 3 x[1] + 3 x[3]) t + 2 x[2] + x[5] + 2 x[3] + 2 x[1]], [1, (2 x[1] + 2 x[2] + 3 x[5] + 3 x[3]) t + 2 x[3] + 3 x[2] + 3 x[1] + 2 x[5]], [1, (4 x[2] + 3 x[5]) t + x[2] + 2 x[5]] ] 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, (x[2] + x[3] + 3 x[5] + x[4]) t + 4 x[3] + 2 x[5] + 4 x[4] + 4 x[2] ], [2, (3 x[2] + x[3] + 3 x[4] + x[5]) t + 4 x[3] + 2 x[2] + 4 x[5] + 2 x[4]] , [2, (3 x[1] + x[2] + x[3] + 3 x[5] + x[4]) t + 4 x[2] + 2 x[1] + 4 x[4] + 2 x[5] + 4 x[3]], [2, (2 x[1] + 3 x[2] + x[3] + 3 x[4] + x[5]) t + 2 x[2] + 3 x[1] + 4 x[5] + 4 x[3] + 2 x[4]], [2, (4 x[2] + x[3] + 3 x[1] + 3 x[5] + x[4]) t + 4 x[4] + x[2] + 2 x[1] + 4 x[3] + 2 x[5]], [ 2, (3 x[2] + x[5] + x[4] + x[3]) t + 4 x[3] + 4 x[5] + 2 x[2] + 4 x[4] ], [2, (x[5] + 3 x[1] + x[2] + x[4] + x[3]) t + 2 x[1] + 4 x[2] + 4 x[4] + 4 x[3] + 4 x[5]], [ 2, (x[4] + x[2] + x[5] + 3 x[3]) t + 4 x[4] + 4 x[5] + 2 x[3] + 4 x[2] ], [2, (x[2] + 3 x[3] + 3 x[5] + x[4]) t + 4 x[2] + 2 x[3] + 4 x[4] + 2 x[5]] , [2, (x[4] + x[5] + 2 x[1] + 3 x[2] + 3 x[3]) t + 4 x[5] + 4 x[4] + 3 x[1] + 2 x[2] + 2 x[3]], [ 2, (x[2] + x[3] + 3 x[4] + x[5]) t + 4 x[5] + 4 x[2] + 4 x[3] + 2 x[4] ], [2, (3 x[2] + 2 x[1] + x[5] + 3 x[4] + 3 x[3]) t + 3 x[1] + 2 x[2] + 2 x[4] + 4 x[5] + 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 [[6, 0], [4, (4 x[1] + x[5]) t + 4 x[5] + x[1]], [4, (x[4] + 4 x[2] + 4 x[3]) t + x[2] + x[3] + 4 x[4]], [4, (4 x[5] + x[2] + 4 x[4]) t + x[4] + 4 x[2] + x[5]], [4, (x[1] + 4 x[3] + x[4]) t + 4 x[4] + 4 x[1] + x[3]], [4, (x[5] + x[1] + x[4]) t + 4 x[1] + 4 x[4] + 4 x[5]], [4, (4 x[1] + 4 x[4] + 4 x[5]) t + x[5] + x[1] + x[4]], [4, (x[4] + 4 x[2] + x[5]) t + 4 x[5] + x[2] + 4 x[4]], [4, (4 x[4] + 4 x[1] + x[3]) t + x[1] + 4 x[3] + x[4]], [4, (x[2] + x[3] + 4 x[4]) t + x[4] + 4 x[2] + 4 x[3]], [4, (4 x[3] + x[5] + x[4]) t + x[3] + 4 x[5] + 4 x[4]], [4, (x[2] + x[3] + 4 x[5]) t + 4 x[2] + x[5] + 4 x[3]], [4, (4 x[5] + x[1]) t + 4 x[1] + x[5]], [4, (4 x[2] + x[5] + 4 x[3]) t + x[2] + x[3] + 4 x[5]], [4, (x[1] + x[2] + x[3] + x[4]) t + 4 x[4] + 4 x[1] + 4 x[2] + 4 x[3]] , [4, (x[5] + x[3]) t + 4 x[3] + 4 x[5]], [4, (x[3] + 4 x[5] + 4 x[4]) t + 4 x[3] + x[5] + x[4]], [ 4, (3 x[2] + 4 x[1] + x[5] + 4 x[3]) t + 4 x[5] + 2 x[2] + x[1] + x[3] ], [4, (x[2] + x[4]) t + 4 x[2] + 4 x[4]], [4, (x[1] + x[2] + 4 x[5] + x[3] + 4 x[4]) t + 4 x[2] + x[4] + 4 x[3] + 4 x[1] + x[5]], [4, (4 x[4] + 4 x[1] + 4 x[2] + 4 x[3]) t + x[1] + x[2] + x[3] + x[4]] , [4, (4 x[2] + x[4] + 4 x[3] + 4 x[1] + x[5]) t + x[1] + x[2] + 4 x[5] + x[3] + 4 x[4]], [ 4, (4 x[5] + 2 x[2] + x[1] + x[3]) t + 3 x[2] + 4 x[1] + x[5] + 4 x[3] ], [4, (4 x[2] + 4 x[4]) t + x[2] + x[4]], [4, (4 x[3] + 4 x[5]) t + x[5] + x[3]]] Knot, 33 [[30, 0], [4, (4 x[5] + x[1] + x[2] + x[4]) t + x[5] + 4 x[2] + 4 x[4] + 4 x[1]] , [4, (x[1] + x[3]) t + 4 x[3] + 4 x[1]], [4, (4 x[1] + 4 x[2]) t + x[1] + x[2]], [4, (x[5] + 4 x[2] + 4 x[4] + 4 x[1]) t + 4 x[5] + x[1] + x[2] + x[4]] , [4, (4 x[3] + 4 x[1]) t + x[1] + x[3]], [4, (x[1] + x[2]) t + 4 x[1] + 4 x[2]]] Knot, 34 [[54, 0]] Knot, 35 [[54, 0]]