Generated 8/31/05 2-cocycle twisted invariants Z_3[t,t^(-1)]/( 5 element quandles [0 0 0 0 0] [ ] [1 1 1 1 1] [ ] [2 2 2 4 3] [ ] [3 3 4 3 2] [ ] [4 4 3 2 4] Knot, 1 [[11, 0]] Knot, 2 [[5, 0]] Knot, 3 [[5, 0]] Knot, 4 [[5, 0]] Knot, 5 2 [[5, 0], [6, (x[13] + 2 x[2] + x[5] + x[12]) t + (2 x[13] + 2 x[12] + x[5] + 2 x[2]) t + 2 x[2] + x[5]]] Knot, 6 [[5, 0]] Knot, 7 [[5, 0]] Knot, 8 [[5, 0]] Knot, 9 [[5, 0]] Knot, 10 [[5, 0]] Knot, 11 2 [[5, 0], [6, (x[5] + 2 x[2] + 2 x[13] + 2 x[12]) t + (2 x[12] + 2 x[13]) t + 2 x[12] + 2 x[13] + x[2] + 2 x[5]]] Knot, 12 [[5, 0]] Knot, 13 [[5, 0]] Knot, 14 2 [[5, 0], [6, (2 x[13] + 2 x[12]) t + (2 x[2] + x[5]) t + x[13] + x[2] + x[12] + 2 x[5]]] Knot, 15 [[5, 0]] Knot, 16 [[5, 0]] Knot, 17 [[5, 0]] Knot, 18 [[5, 0]] Knot, 19 [[11, 0]] Knot, 20 [[5, 0]] Knot, 21 [[5, 0]] Knot, 22 [[5, 0]] Knot, 23 [[5, 0]] Knot, 24 [[11, 0]] Knot, 25 2 [[5, 0], [6, (x[5] + 2 x[2] + 2 x[12] + 2 x[13]) t + (2 x[12] + 2 x[13]) t + 2 x[5] + x[2] + 2 x[12] + 2 x[13]]] Knot, 26 [[5, 0]] Knot, 27 [[5, 0]] Knot, 28 [[5, 0]] Knot, 29 [[11, 0]] Knot, 30 [[5, 0]] Knot, 31 [[5, 0]] Knot, 32 2 [[5, 0], [12, (x[5] + 2 x[2]) t + (2 x[13] + x[2] + 2 x[5] + 2 x[12]) t 2 + x[13] + x[12]], [12, (2 x[5] + x[2]) t + (x[13] + 2 x[2] + x[5] + x[12]) t + 2 x[13] + 2 x[12]]] Knot, 33 [[11, 0]] Knot, 34 [[11, 0]] Knot, 35 [[11, 0]] [0 0 1 1 1] [ ] [1 1 0 0 0] [ ] [2 2 2 4 3] [ ] [3 3 4 3 2] [ ] [4 4 3 2 4] Knot, 1 [[11, 0]] Knot, 2 [[5, 0]] Knot, 3 [[5, 0]] Knot, 4 [[5, 0]] Knot, 5 2 [[5, 0], [6, (x[10] + x[2] + 2 x[5] + x[11]) t + (2 x[10] + 2 x[11] + x[2] + 2 x[5]) t + x[2] + 2 x[5]]] Knot, 6 [[5, 0]] Knot, 7 [[5, 0]] Knot, 8 [[5, 0]] Knot, 9 [[5, 0]] Knot, 10 [[5, 0]] Knot, 11 2 [[5, 0], [6, (x[2] + 2 x[5] + 2 x[10] + 2 x[11]) t + (2 x[11] + 2 x[10]) t + 2 x[11] + 2 x[10] + 2 x[2] + x[5]]] Knot, 12 [[5, 0]] Knot, 13 [[5, 0]] Knot, 14 2 [[5, 0], [6, (2 x[10] + 2 x[11]) t + (2 x[5] + x[2]) t + x[10] + x[5] + x[11] + 2 x[2]]] Knot, 15 [[5, 0]] Knot, 16 [[5, 0]] Knot, 17 [[5, 0]] Knot, 18 [[5, 0]] Knot, 19 [[11, 0]] Knot, 20 [[5, 0]] Knot, 21 [[5, 0]] Knot, 22 [[5, 0]] Knot, 23 [[5, 0]] Knot, 24 [[11, 0]] Knot, 25 2 [[5, 0], [6, (x[2] + 2 x[5] + 2 x[11] + 2 x[10]) t + (2 x[11] + 2 x[10]) t + 2 x[2] + x[5] + 2 x[11] + 2 x[10]]] Knot, 26 [[5, 0]] Knot, 27 [[5, 0]] Knot, 28 [[5, 0]] Knot, 29 [[11, 0]] Knot, 30 [[5, 0]] Knot, 31 [[5, 0]] Knot, 32 2 [[5, 0], [12, (2 x[5] + x[2]) t + (2 x[10] + x[5] + 2 x[2] + 2 x[11]) t 2 + x[11] + x[10]], [12, (x[5] + 2 x[2]) t + (x[10] + 2 x[5] + x[2] + x[11]) t + 2 x[10] + 2 x[11]]] Knot, 33 [[11, 0]] Knot, 34 [[11, 0]] Knot, 35 [[11, 0]] [0 0 0 0 0] [ ] [1 1 1 2 2] [ ] [2 2 2 1 1] [ ] [3 4 4 3 3] [ ] [4 3 3 4 4] Knot, 1 [[5, 0]] Knot, 2 [[5, 0]] Knot, 3 [[5, 0]] Knot, 4 [[5, 0]] Knot, 5 [[5, 0]] Knot, 6 [[5, 0]] Knot, 7 [[5, 0]] Knot, 8 [[5, 0]] Knot, 9 [[5, 0]] Knot, 10 [[5, 0]] Knot, 11 [[5, 0]] Knot, 12 [[5, 0]] Knot, 13 [[5, 0]] Knot, 14 [[5, 0]] Knot, 15 [[5, 0]] Knot, 16 [[5, 0]] Knot, 17 [[5, 0]] Knot, 18 [[5, 0]] Knot, 19 [[5, 0]] Knot, 20 [[5, 0]] Knot, 21 [[5, 0]] Knot, 22 [[5, 0]] Knot, 23 [[5, 0]] Knot, 24 [[5, 0]] Knot, 25 [[5, 0]] Knot, 26 [[5, 0]] Knot, 27 [[5, 0]] Knot, 28 [[5, 0]] Knot, 29 [[5, 0]] Knot, 30 [[5, 0]] Knot, 31 [[5, 0]] Knot, 32 [[5, 0]] Knot, 33 [[5, 0]] Knot, 34 [[5, 0]] Knot, 35 [[5, 0]] [0 0 0 0 0] [ ] [1 1 4 2 3] [ ] [2 3 2 4 1] [ ] [3 4 1 3 2] [ ] [4 2 3 1 4] Knot, 1 [[17, 0]] Knot, 2 2 [[5, 0], [2, (2 x[13] + x[6] + 2 x[3]) t + (x[13] + x[10] + 2 x[6] + x[3] + 2 x[9] + x[11]) t + x[9] + 2 x[10] 2 + 2 x[11]], [2, (x[13] + x[6] + 2 x[3]) t + (x[3] + 2 x[6] + x[11] + 2 x[13] + x[9] + 2 x[10]) t + x[10] + 2 x[11] + 2 x[9]], [2, 2 (x[7] + 2 x[13] + x[2] + x[5] + x[6] + 2 x[3]) t + (x[13] + 2 x[2] + 2 x[5] + 2 x[6] + 2 x[7] + x[3] + 2 x[10] + x[11] + 2 x[9]) t + x[9] + 2 x[11] + x[10]], [2, 2 (2 x[7] + x[13] + 2 x[2] + 2 x[5] + 2 x[6] + x[3]) t + ( 2 x[13] + x[2] + x[5] + x[6] + x[7] + 2 x[3] + x[9] + x[10] + 2 x[11]) 2 t + 2 x[9] + x[11] + 2 x[10]], [2, (x[13] + 2 x[6] + x[3]) t + (2 x[13] + x[9] + 2 x[11] + x[6] + 2 x[3] + 2 x[10]) t + 2 x[9] 2 + x[10] + x[11]], [2, (2 x[6] + x[3] + 2 x[13]) t + (x[6] + 2 x[3] + 2 x[11] + 2 x[9] + x[10] + x[13]) t + x[9] + x[11] + 2 x[10]]] Knot, 3 [[5, 0]] Knot, 4 [[5, 0]] Knot, 5 [[5, 0]] Knot, 6 [[5, 0]] Knot, 7 [[5, 0]] Knot, 8 [[5, 0]] Knot, 9 2 [[5, 0], [2, (x[6] + 2 x[3] + 2 x[13]) t + (x[13] + 2 x[6] + x[3] + x[10] + x[11] + 2 x[9]) t + 2 x[11] + x[9] 2 + 2 x[10]], [2, (x[6] + 2 x[3] + x[13]) t + (2 x[13] + x[3] + 2 x[6] + x[9] + 2 x[10] + x[11]) t + 2 x[11] 2 + 2 x[9] + x[10]], [2, (2 x[6] + x[3] + x[13]) t + (2 x[13] + x[6] + 2 x[3] + x[9] + 2 x[11] + 2 x[10]) t + x[11] 2 + 2 x[9] + x[10]], [2, (2 x[13] + 2 x[6] + x[3]) t + (x[6] + 2 x[3] + x[13] + 2 x[9] + x[10] + 2 x[11]) t + x[9] + 2 x[10] + x[11]], [2, 2 (x[7] + x[5] + x[2] + 2 x[13] + x[6] + 2 x[3]) t + (2 x[2] + 2 x[6] + 2 x[7] + x[13] + x[3] + 2 x[5] + 2 x[10] + x[11] + 2 x[9]) t + x[10] + x[9] + 2 x[11]], [2, 2 (2 x[2] + 2 x[5] + 2 x[7] + 2 x[6] + x[3] + x[13]) t + ( 2 x[13] + x[2] + x[5] + x[6] + x[7] + 2 x[3] + x[9] + x[10] + 2 x[11]) t + 2 x[10] + 2 x[9] + x[11]]] Knot, 10 2 [[5, 0], [2, (x[6] + 2 x[3] + 2 x[13]) t + (x[13] + 2 x[6] + x[3] + x[10] + x[11] + 2 x[9]) t + 2 x[11] + x[9] 2 + 2 x[10]], [2, (x[6] + 2 x[3] + x[13]) t + (2 x[13] + x[3] + 2 x[6] + x[9] + 2 x[10] + x[11]) t + 2 x[11] 2 + 2 x[9] + x[10]], [2, (2 x[6] + x[3] + x[13]) t + (2 x[13] + x[6] + 2 x[3] + x[9] + 2 x[11] + 2 x[10]) t + x[11] 2 + 2 x[9] + x[10]], [2, (2 x[13] + 2 x[6] + x[3]) t + (x[6] + 2 x[3] + x[13] + 2 x[9] + x[10] + 2 x[11]) t + x[9] + 2 x[10] + x[11]], [2, 2 (x[7] + x[5] + x[2] + 2 x[13] + x[6] + 2 x[3]) t + (2 x[2] + 2 x[6] + 2 x[7] + x[13] + x[3] + 2 x[5] + 2 x[10] + x[11] + 2 x[9]) t + x[10] + x[9] + 2 x[11]], [2, 2 (2 x[2] + 2 x[5] + 2 x[7] + 2 x[6] + x[3] + x[13]) t + ( 2 x[13] + x[2] + x[5] + x[6] + x[7] + 2 x[3] + x[9] + x[10] + 2 x[11]) t + 2 x[10] + 2 x[9] + x[11]]] Knot, 11 [[5, 0]] Knot, 12 [[5, 0]] Knot, 13 [[5, 0]] Knot, 14 [[5, 0]] Knot, 15 [[5, 0], [2, (x[3] + 2 x[5] + 2 x[6] + 2 x[2] + 2 x[7] + 2 x[9] + 2 x[10] 2 + x[11] + x[13]) t + (x[9] + x[10] + 2 x[2] + 2 x[5] + 2 x[7] + 2 x[11] + 2 x[6] + x[13] + x[3]) t + x[3] + 2 x[2] + 2 x[5] + 2 x[6] + 2 x[7] + x[13]], [2, 2 (x[6] + 2 x[3] + 2 x[11] + x[10] + 2 x[9] + x[13]) t + (2 x[10] + x[11] + x[6] + 2 x[3] + x[9] + x[13]) t + 2 x[3] + x[6] 2 + x[13]], [2, (2 x[3] + x[6] + x[9] + 2 x[10] + 2 x[11] + 2 x[13]) t + (x[11] + 2 x[9] + x[6] + 2 x[3] + x[10] + 2 x[13]) t + x[6] + 2 x[3] + 2 x[13]], [2, ( x[2] + 2 x[3] + x[5] + x[6] + x[7] + 2 x[13] + x[9] + 2 x[11] + x[10]) 2 t + (2 x[10] + x[11] + 2 x[13] + x[2] + x[5] + x[6] + x[7] + 2 x[3] + 2 x[9]) t + x[6] + x[7] + x[5] + 2 x[13] + x[2] + 2 x[3]], [2, 2 (x[13] + 2 x[6] + x[3] + 2 x[9] + x[10] + x[11]) t + (2 x[6] + x[3] + 2 x[10] + x[9] + 2 x[11] + x[13]) t + 2 x[6] + x[13] + x[3]], [2, 2 (2 x[6] + x[3] + 2 x[13] + 2 x[10] + x[11] + x[9]) t + (2 x[9] + 2 x[11] + 2 x[13] + x[10] + x[3] + 2 x[6]) t + x[3] + 2 x[6] + 2 x[13]]] Knot, 16 [[5, 0]] Knot, 17 [[5, 0]] Knot, 18 2 [[5, 0], [2, (x[10] + x[9] + 2 x[11]) t + (2 x[7] + x[13] + 2 x[2] + 2 x[5] + x[3] + 2 x[6]) t + x[11] + x[6] + 2 x[3] + 2 x[10] + x[2] + x[7] + x[5] + 2 x[13] + 2 x[9]], [2, 2 (2 x[10] + 2 x[9] + x[11]) t + (x[2] + 2 x[3] + x[5] + x[6] + x[7] + 2 x[13]) t + 2 x[6] + x[3] + 2 x[2] + x[13] + x[9] + x[10] + 2 x[5] + 2 x[7] + 2 x[11]], [2, 2 (x[10] + x[11] + 2 x[9]) t + (2 x[13] + x[6] + 2 x[3]) t + x[9] + 2 x[11] + x[13] + 2 x[10] + x[3] + 2 x[6]], [2, 2 (2 x[10] + x[11] + x[9]) t + (x[13] + x[6] + 2 x[3]) t + x[3] + 2 x[11] + 2 x[13] + 2 x[9] + x[10] + 2 x[6]], [2, 2 (2 x[11] + x[9] + 2 x[10]) t + (2 x[6] + x[13] + x[3]) t + 2 x[3] + x[10] + x[11] + x[6] + 2 x[13] + 2 x[9]], [2, 2 (x[10] + 2 x[11] + 2 x[9]) t + (2 x[13] + 2 x[6] + x[3]) t + 2 x[3] + x[11] + x[9] + x[13] + x[6] + 2 x[10]]] Knot, 19 [[17, 0]] Knot, 20 [[5, 0]] Knot, 21 [[5, 0]] Knot, 22 [[5, 0]] Knot, 23 [[5, 0]] Knot, 24 [[17, 0]] Knot, 25 [[5, 0], [2, (x[7] + 2 x[13] + x[2] + x[5] + 2 x[9] + 2 x[10] + x[6] 2 + 2 x[3] + x[11]) t + (2 x[9] + 2 x[10] + x[11]) t + 2 x[6] + 2 x[9] + 2 x[10] + x[11] + x[13] + 2 x[2] + 2 x[5] + 2 x[7] + x[3]], [2, ( 2 x[2] + x[3] + 2 x[5] + 2 x[6] + 2 x[7] + 2 x[11] + x[13] + x[10] 2 + x[9]) t + (x[10] + 2 x[11] + x[9]) t + x[10] + 2 x[13] + 2 x[11] + x[9] + x[6] + x[7] + x[2] + x[5] + 2 x[3]], [2, 2 (2 x[9] + x[10] + x[11] + 2 x[13] + x[6] + 2 x[3]) t + (2 x[9] + x[11] + x[10]) t + x[11] + x[13] + x[3] + x[10] + 2 x[9] 2 + 2 x[6]], [2, (x[9] + 2 x[10] + 2 x[11] + 2 x[6] + x[13] + x[3]) t + (2 x[10] + x[9] + 2 x[11]) t + 2 x[11] + 2 x[13] + 2 x[3] + x[9] + x[6] + 2 x[10]], [2, 2 (2 x[9] + 2 x[13] + 2 x[11] + 2 x[6] + x[3] + x[10]) t + (2 x[9] + x[10] + 2 x[11]) t + x[13] + 2 x[9] + 2 x[11] + x[10] + 2 x[3] + x[6]], [2, 2 (2 x[10] + x[11] + x[6] + 2 x[3] + x[9] + x[13]) t + (x[11] + x[9] + 2 x[10]) t + 2 x[10] + 2 x[6] + x[3] + x[11] + 2 x[13] + x[9]]] Knot, 26 [[5, 0]] Knot, 27 2 [[5, 0], [2, (2 x[13] + x[2] + x[5] + x[6] + x[7] + 2 x[3]) t + (2 x[9] + x[11] + 2 x[10] + 2 x[2] + 2 x[5] + 2 x[7] + 2 x[6] + x[13] + x[3]) 2 t + 2 x[11] + x[9] + x[10]], [2, (2 x[13] + x[6] + 2 x[3]) t + (2 x[9] + 2 x[6] + x[3] + x[13] + x[11] + x[10]) t + 2 x[11] + x[9] 2 + 2 x[10]], [2, (2 x[13] + 2 x[6] + x[3]) t + (2 x[9] + 2 x[11] + x[6] + 2 x[3] + x[10] + x[13]) t + x[9] + 2 x[10] + x[11]], [2, 2 (2 x[2] + 2 x[6] + 2 x[7] + x[13] + x[3] + 2 x[5]) t + ( x[9] + 2 x[11] + x[7] + x[5] + x[2] + 2 x[13] + x[6] + 2 x[3] + x[10]) 2 t + 2 x[9] + x[11] + 2 x[10]], [2, (x[13] + x[6] + 2 x[3]) t + (2 x[10] + x[11] + x[9] + 2 x[13] + x[3] + 2 x[6]) t + x[10] 2 + 2 x[11] + 2 x[9]], [2, (x[13] + x[3] + 2 x[6]) t + (x[9] + 2 x[10] + 2 x[11] + x[6] + 2 x[3] + 2 x[13]) t + 2 x[9] + x[10] + x[11]]] Knot, 28 [[5, 0]] Knot, 29 [[17, 0]] Knot, 30 [[5, 0]] Knot, 31 [[5, 0]] Knot, 32 2 [[5, 0], [10, (x[6] + 2 x[3] + x[13]) t + (2 x[13] + x[9] + x[11] + 2 x[10] + x[3] + 2 x[6]) t + 2 x[9] + 2 x[11] + x[10]], [10, 2 (2 x[2] + x[3] + 2 x[5] + 2 x[6] + 2 x[7] + x[13]) t + ( x[10] + 2 x[11] + x[2] + 2 x[3] + x[5] + x[6] + x[7] + x[9] + 2 x[13]) 2 t + 2 x[9] + 2 x[10] + x[11]], [10, (x[13] + 2 x[6] + x[3]) t + (2 x[13] + 2 x[10] + x[6] + 2 x[3] + x[9] + 2 x[11]) t + 2 x[9] 2 + x[10] + x[11]], [10, (x[3] + 2 x[6] + 2 x[13]) t + (x[13] + 2 x[9] + 2 x[11] + x[10] + 2 x[3] + x[6]) t + 2 x[10] 2 + x[11] + x[9]], [10, (2 x[13] + x[6] + 2 x[3]) t + (x[11] + x[13] + 2 x[6] + x[3] + 2 x[9] + x[10]) t + 2 x[11] + x[9] 2 + 2 x[10]], [10, (x[7] + x[5] + x[2] + 2 x[13] + x[6] + 2 x[3]) t + (2 x[10] + 2 x[2] + 2 x[6] + 2 x[7] + x[13] + x[3] + 2 x[5] + 2 x[9] + x[11]) t + x[10] + x[9] + 2 x[11]]] Knot, 33 [[17, 0]] Knot, 34 [[17, 0]] Knot, 35 [[17, 0]] [0 0 1 1 1] [ ] [1 1 0 0 0] [ ] [3 4 2 4 3] [ ] [4 2 4 3 2] [ ] [2 3 3 2 4] Knot, 1 [[11, 0]] Knot, 2 [[5, 0]] Knot, 3 [[5, 0]] Knot, 4 [[5, 0]] Knot, 5 2 [[5, 0], [6, (x[4] + 2 x[9] + x[12] + x[3]) t + (2 x[3] + 2 x[4] + 2 x[9] + x[12]) t + 2 x[9] + x[12]]] Knot, 6 [[5, 0]] Knot, 7 [[5, 0]] Knot, 8 [[5, 0]] Knot, 9 [[5, 0]] Knot, 10 [[5, 0]] Knot, 11 2 [[5, 0], [6, (2 x[9] + x[12] + 2 x[4] + 2 x[3]) t + (2 x[3] + 2 x[4]) t + 2 x[3] + 2 x[4] + x[9] + 2 x[12]]] Knot, 12 [[5, 0]] Knot, 13 [[5, 0]] Knot, 14 2 [[5, 0], [6, (2 x[4] + 2 x[3]) t + (x[12] + 2 x[9]) t + x[9] + 2 x[12] + x[3] + x[4]]] Knot, 15 [[5, 0]] Knot, 16 [[5, 0]] Knot, 17 [[5, 0]] Knot, 18 [[5, 0]] Knot, 19 [[11, 0]] Knot, 20 [[5, 0]] Knot, 21 [[5, 0]] Knot, 22 [[5, 0]] Knot, 23 [[5, 0]] Knot, 24 [[11, 0]] Knot, 25 2 [[5, 0], [6, (2 x[9] + x[12] + 2 x[3] + 2 x[4]) t + (2 x[3] + 2 x[4]) t + x[9] + 2 x[12] + 2 x[3] + 2 x[4]]] Knot, 26 [[5, 0]] Knot, 27 [[5, 0]] Knot, 28 [[5, 0]] Knot, 29 [[11, 0]] Knot, 30 [[5, 0]] Knot, 31 [[5, 0]] Knot, 32 2 [[5, 0], [12, (x[12] + 2 x[9]) t + (2 x[4] + x[9] + 2 x[12] + 2 x[3]) t 2 + x[3] + x[4]], [12, (x[9] + 2 x[12]) t + (x[12] + 2 x[9] + x[4] + x[3]) t + 2 x[4] + 2 x[3]]] Knot, 33 [[11, 0]] Knot, 34 [[11, 0]] Knot, 35 [[11, 0]] [0 3 4 2 1] [ ] [2 1 3 4 0] [ ] [1 4 2 0 3] [ ] [4 0 1 3 2] [ ] [3 2 0 1 4] Knot, 1 [[5, 0]] Knot, 2 2 [[5, 0], [2, (2 x[2] + x[3] + 2 x[7] + x[8]) t + (2 x[3] + x[7] + 2 x[8] + x[2] + x[12] + x[9] + 2 x[11]) t + x[11] 2 + 2 x[12] + 2 x[9]], [2, (x[2] + x[5] + x[8]) t + (2 x[8] + 2 x[5] + 2 x[2] + x[11] + x[10] + 2 x[12]) t + x[12] 2 + 2 x[11] + 2 x[10]], [2, (2 x[2] + x[7] + 2 x[6]) t + (2 x[7] + x[6] + 2 x[11] + x[10] + 2 x[9] + x[2]) t + x[9] + 2 x[10] + x[11]], [2, 2 (x[3] + 2 x[5] + 2 x[1] + 2 x[2] + x[4] + 2 x[8]) t + ( x[1] + x[2] + 2 x[4] + x[8] + 2 x[10] + 2 x[3] + x[5] + x[9] + 2 x[12] ) t + x[10] + x[12] + 2 x[9]], [2, 2 (2 x[2] + x[1] + 2 x[4] + x[3] + 2 x[8] + x[6]) t + (x[12] + 2 x[10] + x[2] + x[4] + 2 x[1] + x[8] + 2 x[6] + 2 x[3] + 2 x[9] + x[11]) t + 2 x[11] + x[9] + 2 x[12] + x[10]], [2, 2 (x[2] + 2 x[4] + x[1] + x[8] + x[5] + 2 x[3]) t + (2 x[1] + 2 x[2] + x[4] + 2 x[8] + x[10] + x[3] + 2 x[5] + 2 x[9] + x[12]) t + x[9] 2 + 2 x[10] + 2 x[12]], [2, (x[2] + 2 x[7] + x[6]) t + (2 x[2] + 2 x[6] + x[9] + x[7] + x[11] + 2 x[10]) t + x[10] + 2 x[9] + 2 x[11]], [2, 2 (x[2] + 2 x[6] + x[4] + 2 x[1] + x[8] + 2 x[3]) t + (x[9] + 2 x[12] + 2 x[2] + x[3] + 2 x[8] + x[6] + x[1] + 2 x[4] + x[10] + 2 x[11]) t + 2 x[10] + 2 x[9] + x[11] + x[12]], [2, 2 (x[7] + 2 x[8] + 2 x[3] + x[2]) t + (x[3] + 2 x[7] + x[8] + 2 x[2] + x[11] + 2 x[12] + 2 x[9]) t + x[9] 2 + 2 x[11] + x[12]], [2, (2 x[2] + 2 x[5] + 2 x[8]) t + (x[2] + x[5] + x[12] + 2 x[11] + x[8] + 2 x[10]) t + x[10] + 2 x[12] + x[11]]] Knot, 3 [[25, 0]] Knot, 4 [[5, 0]] Knot, 5 [[5, 0]] Knot, 6 [[5, 0]] Knot, 7 [[5, 0]] Knot, 8 [[5, 0]] Knot, 9 [[5, 0]] Knot, 10 [[5, 0]] Knot, 11 [[5, 0], [1, ( x[12] + 2 x[1] + x[2] + x[4] + 2 x[9] + x[8] + 2 x[6] + 2 x[3] + x[10] 2 ) t + (2 x[11] + x[9] + x[10] + 2 x[12] + x[5] + x[6] + x[4] + 2 x[1]) t + 2 x[1] + 2 x[2] + x[3] + x[4] + 2 x[5] + x[11] + 2 x[8] + x[10]], [ 2 1, (x[2] + 2 x[7] + x[11] + 2 x[9] + 2 x[12] + x[6]) t + (x[11] + x[9] + 2 x[6] + 2 x[8] + 2 x[10] + 2 x[7] + 2 x[3]) t + x[10] + x[11] + 2 x[2] + x[3] + 2 x[7] + x[8] + x[12]], [1, 2 (2 x[2] + 2 x[8] + 2 x[5] + x[12] + x[10] + 2 x[9]) t + (x[1] + 2 x[2] + 2 x[8] + 2 x[4] + 2 x[11] + x[12] + 2 x[10] + 2 x[3] + 2 x[5]) t + x[4] + 2 x[1] + 2 x[2] + x[3] + 2 x[8] + 2 x[5] + x[11] + x[12] + x[9]], [1, ( 2 x[11] + x[1] + 2 x[2] + 2 x[8] + 2 x[4] + x[6] + x[12] + x[3] + x[9] 2 ) t + (2 x[1] + x[4] + 2 x[6] + 2 x[7] + 2 x[8] + 2 x[9] + 2 x[10] + x[11] + x[12]) t + x[2] + 2 x[3] + 2 x[8] + x[10] + x[12] + x[7]], 2 [1, (x[2] + x[5] + x[8] + 2 x[9] + 2 x[10] + x[11] + x[12]) t + (x[2] + x[3] + x[1] + x[6] + 2 x[4] + 2 x[5] + x[10] + x[11] + 2 x[12] + x[8]) t + x[9] + 2 x[1] + x[2] + x[4] + 2 x[3] + 2 x[6] + x[8] + x[11]], [1, 2 (2 x[2] + x[3] + 2 x[7] + x[8] + x[9] + 2 x[10] + 2 x[12]) t + (2 x[11] + x[12] + x[9] + 2 x[1] + x[4] + x[7] + x[8] + 2 x[5]) t + x[8] + x[9] + x[10] + x[11] + 2 x[3] + 2 x[4] + x[1] + x[2] + x[5]] , [1, 2 (x[11] + 2 x[10] + 2 x[2] + x[3] + 2 x[7] + 2 x[9] + x[8] + x[12]) t + (x[1] + 2 x[4] + x[6] + x[7] + x[8] + x[9] + 2 x[11] + x[12]) t + 2 x[3] + x[4] + 2 x[1] + x[2] + x[12] + x[8] + x[10] + 2 x[6]], [1, (x[11] + x[3] + x[6] + x[10] + x[1] + 2 x[4] + 2 x[8] + 2 x[2] 2 + 2 x[12]) t + (x[12] + 2 x[2] + 2 x[3] + 2 x[1] + 2 x[6] + x[4] + x[5] + x[11] + 2 x[10] + 2 x[9] + 2 x[8]) t + x[11] + 2 x[2] + 2 x[5] + 2 x[8] + x[9]], [1, 2 (x[11] + x[2] + 2 x[3] + x[7] + x[9] + 2 x[10] + 2 x[8]) t + (x[3] + x[6] + 2 x[9] + x[11] + 2 x[12] + x[8] + x[7]) t + x[7] + 2 x[2] + x[11] + 2 x[6] + x[10] + x[12]], [1, 2 (x[12] + 2 x[10] + 2 x[3] + x[7] + 2 x[8] + 2 x[11] + x[2]) t + (2 x[12] + 2 x[9] + x[2] + 2 x[7] + 2 x[5] + x[3] + x[11]) t + x[8] + x[2] + x[5] + x[9] + x[10]], [1, ( x[2] + 2 x[3] + x[8] + 2 x[6] + x[11] + 2 x[1] + x[4] + x[9] + 2 x[10] 2 ) t + (x[10] + 2 x[12] + x[9] + 2 x[11] + 2 x[4] + x[1] + 2 x[6] + 2 x[7] + x[3] + 2 x[8]) t + 2 x[2] + x[7] + x[9] + x[12] + 2 x[6]], [1, (2 x[2] + x[4] + 2 x[5] + 2 x[1] + 2 x[8] + x[12] + 2 x[11] + x[3] 2 + x[9]) t + (x[9] + 2 x[12] + 2 x[10] + x[5] + x[1] + 2 x[4] + 2 x[7] + 2 x[8]) t + x[2] + 2 x[3] + x[9] + x[10] + x[7] + 2 x[8] + x[11]], [1, (x[10] + x[1] + 2 x[3] + 2 x[4] + x[8] + x[5] + x[2] + x[9] + 2 x[11] 2 + 2 x[12]) t + (x[12] + 2 x[5] + 2 x[6] + x[10] + 2 x[9] + 2 x[4] + x[1]) t + x[3] + 2 x[4] + x[1] + 2 x[2] + 2 x[8] + x[10] + x[11] + x[6]], [1, ( 2 x[1] + 2 x[2] + x[3] + x[4] + 2 x[5] + 2 x[8] + 2 x[9] + x[10] 2 + 2 x[11]) t + (2 x[4] + x[1] + x[5] + 2 x[6] + x[7] + 2 x[3] + x[8] + 2 x[10] + x[9] + 2 x[12]) t + x[11] + x[2] + x[6] + 2 x[7] + x[12]] , [1, (x[12] + 2 x[4] + x[1] + x[5] + 2 x[3] + x[8] + 2 x[11] + x[2] 2 + 2 x[10]) t + (x[12] + x[10] + 2 x[9] + 2 x[1] + x[2] + x[8] + x[4] + x[3] + x[5]) t + x[2] + x[5] + x[12] + x[8] + x[9] + x[11]], [1, 2 (2 x[9] + x[11] + 2 x[8] + 2 x[2] + 2 x[12] + 2 x[5]) t + (2 x[10] + 2 x[11] + 2 x[2] + x[7] + x[5] + x[12] + 2 x[3]) t + x[10] + 2 x[2] + x[3] + x[9] + 2 x[7] + x[8]], [1, 2 (x[6] + x[2] + x[10] + 2 x[12] + 2 x[11] + x[9] + 2 x[7]) t + (x[9] + 2 x[10] + x[11] + x[4] + x[7] + x[8] + 2 x[1] + x[6] + 2 x[3]) t + x[1] + 2 x[2] + x[3] + 2 x[4] + x[9] + x[12] + x[6] + 2 x[8]], [1, 2 (x[11] + 2 x[12] + x[10] + 2 x[6] + x[7] + 2 x[2]) t + (2 x[2] + x[5] + x[6] + 2 x[7] + x[8] + 2 x[9] + x[10] + 2 x[11]) t + 2 x[2] + 2 x[5] + x[12] + 2 x[8] + x[9] + x[10]], [1, 2 (2 x[2] + 2 x[6] + x[7] + x[9] + 2 x[10] + 2 x[12]) t + (2 x[9] + 2 x[11] + x[10] + x[6] + 2 x[7] + x[4] + 2 x[5] + 2 x[1] + 2 x[8] + x[3]) t + x[1] + x[2] + 2 x[3] + 2 x[4] + x[5] + x[8] + x[11] 2 + x[12]], [1, (x[2] + x[5] + x[8] + 2 x[9] + x[10] + 2 x[11]) t + (x[2] + 2 x[5] + 2 x[6] + x[7] + 2 x[8] + x[10] + x[11] + 2 x[12]) t + x[2] + x[9] + x[10] + x[6] + 2 x[7] + x[12]]] Knot, 12 [[5, 0]] Knot, 13 [[5, 0]] Knot, 14 [[5, 0]] Knot, 15 [[5, 0]] Knot, 16 [[5, 0]] Knot, 17 [[5, 0]] Knot, 18 [[5, 0]] Knot, 19 [[5, 0]] Knot, 20 [[5, 0]] Knot, 21 [[5, 0]] Knot, 22 [[5, 0], [1, (2 x[9] + 2 x[10] + 2 x[2] + x[4] + 2 x[5] + 2 x[1] + 2 x[8] 2 + x[3] + 2 x[11]) t + (x[9] + 2 x[12] + 2 x[10] + 2 x[2] + x[8] + 2 x[7] + x[3]) t + x[1] + 2 x[2] + x[3] + 2 x[4] + x[5] + x[11] + x[12] + x[7] + 2 x[10]], [ 2 1, (2 x[2] + 2 x[6] + x[7] + 2 x[11] + 2 x[12]) t + (2 x[9] + 2 x[1] + 2 x[2] + 2 x[8] + x[4] + x[3] + 2 x[5] + x[10] + 2 x[11]) t + 2 x[3] + x[5] + x[12] + x[6] + x[9] + 2 x[10] + x[1] + x[8] + 2 x[7] + 2 x[4] + 2 x[2] + 2 x[11]], [1, 2 (2 x[2] + x[3] + 2 x[7] + x[8] + 2 x[10] + 2 x[12]) t + ( x[12] + 2 x[11] + x[9] + 2 x[2] + x[3] + x[1] + x[6] + 2 x[4] + 2 x[8] ) t + x[4] + 2 x[1] + 2 x[2] + x[3] + x[7] + 2 x[9] + x[10] + 2 x[6] 2 + x[11]], [1, (2 x[11] + x[2] + 2 x[7] + x[6] + 2 x[12] + 2 x[10]) t + (x[2] + 2 x[3] + x[7] + 2 x[8] + x[9] + 2 x[10] + x[11]) t + x[2] + x[3] + 2 x[9] + 2 x[10] + 2 x[6] + x[8] + x[12]], [1, 2 (x[2] + x[5] + x[8] + 2 x[9] + 2 x[11]) t + (x[10] + x[1] + 2 x[4] + 2 x[8] + x[6] + x[3] + 2 x[2] + x[11] + 2 x[12]) t + 2 x[3] + x[4] + 2 x[5] + 2 x[1] + 2 x[6] + x[9] + 2 x[10] + x[12]], [1, 2 (2 x[3] + x[7] + 2 x[8] + x[2] + 2 x[10] + 2 x[9]) t + (2 x[2] + 2 x[5] + 2 x[8] + 2 x[9] + x[11] + 2 x[12]) t + x[3] + x[5] + 2 x[8] + 2 x[9] + x[10] + 2 x[7] + x[12] + 2 x[11]], [1, 2 (x[1] + x[2] + x[8] + 2 x[4] + 2 x[10] + 2 x[3] + x[5] + 2 x[11]) t + ( x[2] + 2 x[3] + x[4] + 2 x[6] + 2 x[1] + x[10] + 2 x[9] + x[12] + x[8] ) t + x[2] + 2 x[3] + 2 x[5] + x[9] + x[11] + x[6] + x[8] + 2 x[12]], [1, 2 (2 x[1] + x[2] + x[8] + x[4] + 2 x[10] + 2 x[11] + 2 x[6] + 2 x[3]) t + (x[2] + 2 x[4] + x[1] + x[8] + x[5] + x[9] + 2 x[11] + x[10] + 2 x[12] + 2 x[3]) t + 2 x[3] + 2 x[5] + 2 x[9] + x[2] + x[6] + x[8] + 2 x[11] + x[12]], [1, 2 (2 x[2] + 2 x[8] + 2 x[5] + 2 x[12] + 2 x[9] + 2 x[11]) t + (x[1] + x[2] + 2 x[3] + 2 x[4] + x[5] + x[8] + 2 x[10] + 2 x[11] + x[12]) t + 2 x[1] + x[3] + x[4] + 2 x[11] + x[9] + x[10]], [1, (2 x[4] + x[1] 2 + x[5] + 2 x[3] + x[8] + 2 x[11] + 2 x[12] + x[2] + 2 x[9]) t + (2 x[2] + 2 x[5] + 2 x[8] + 2 x[9] + x[10] + x[12]) t + 2 x[1] + x[3] + x[4] + 2 x[9] + 2 x[10] + x[11]], [1, 2 (x[6] + x[2] + 2 x[9] + 2 x[12] + 2 x[7]) t + ( x[9] + 2 x[10] + x[11] + x[4] + x[8] + 2 x[1] + 2 x[6] + 2 x[3] + x[2] ) t + x[1] + x[2] + x[3] + 2 x[4] + x[10] + 2 x[11] + x[7] + 2 x[8] + x[12]], [1, 2 (2 x[11] + 2 x[2] + x[3] + 2 x[4] + x[1] + x[6] + 2 x[8] + 2 x[9]) t + (2 x[9] + x[12] + x[11] + 2 x[10] + x[2] + x[5] + x[8]) t + 2 x[1] + 2 x[3] + x[4] + 2 x[5] + x[10] + 2 x[12] + 2 x[6] + 2 x[9]], [1, 2 (x[2] + x[5] + x[8] + 2 x[9] + 2 x[10] + 2 x[12]) t + (x[10] + 2 x[12] + 2 x[2] + x[7] + 2 x[6] + x[11]) t + x[6] + 2 x[5] + 2 x[8] + x[9] + 2 x[11] + 2 x[7] + 2 x[12]], [1, 2 (2 x[6] + 2 x[2] + x[7] + 2 x[10] + 2 x[12] + 2 x[9]) t + (x[10] + 2 x[11] + 2 x[9] + x[2] + x[5] + x[8]) t + 2 x[5] + 2 x[9] + x[6] + 2 x[7] + 2 x[8] + x[11] + x[12]], [1, 2 (x[2] + 2 x[3] + 2 x[1] + 2 x[6] + x[4] + x[8] + 2 x[9] + 2 x[12]) t + (x[10] + 2 x[12] + x[9] + 2 x[11] + x[6] + 2 x[7] + x[2]) t + x[1] + x[2] + x[3] + 2 x[4] + 2 x[8] + 2 x[10] + x[11] + x[7] + 2 x[12]], 2 [1, (2 x[2] + 2 x[5] + 2 x[8] + 2 x[9] + 2 x[10]) t + (x[2] + 2 x[3] + x[7] + 2 x[8] + 2 x[10] + 2 x[11] + x[12]) t + x[3] + x[5] + x[9] + 2 x[10] + 2 x[7] + 2 x[8] + x[11] + 2 x[12]], 2 [1, (2 x[2] + x[3] + 2 x[7] + x[8] + 2 x[9] + 2 x[10] + 2 x[11]) t + (x[9] + 2 x[11] + x[12] + 2 x[2] + x[3] + 2 x[8] + 2 x[5] + x[4] + 2 x[1]) t + x[1] + 2 x[2] + x[3] + 2 x[4] + x[5] + 2 x[12] + x[7] + x[10] + 2 x[11]], [1, 2 (2 x[12] + 2 x[10] + 2 x[2] + x[3] + 2 x[4] + x[6] + x[1] + 2 x[8]) t + (2 x[10] + x[11] + 2 x[9] + x[12] + x[3] + 2 x[7] + x[8] + 2 x[2]) t + 2 x[1] + 2 x[2] + x[3] + x[4] + x[9] + 2 x[10] + 2 x[6] + x[7] + 2 x[11]], [1, 2 (x[2] + 2 x[3] + x[7] + 2 x[8] + 2 x[10] + 2 x[11] + 2 x[12]) t + (x[2] + x[6] + 2 x[7] + 2 x[9] + x[11] + 2 x[12]) t + x[2] + x[3] + x[10] + 2 x[6] + x[8] + x[9] + 2 x[12]], [1, (2 x[1] + 2 x[2] + x[3] + x[4] + 2 x[5] + 2 x[8] + 2 x[11] + 2 x[12]) 2 t + (2 x[6] + 2 x[10] + x[9] + 2 x[12] + 2 x[2] + x[7]) t + 2 x[9] + x[1] + 2 x[2] + 2 x[4] + 2 x[3] + x[10] + 2 x[7] + x[8] + x[6] + x[11] + 2 x[12] + x[5]]] Knot, 23 2 [[5, 0], [2, (2 x[7] + x[2] + x[6]) t + (2 x[2] + 2 x[6] + x[7] + x[9] + 2 x[10] + x[11]) t + 2 x[9] 2 + x[10] + 2 x[11]], [2, (2 x[2] + x[3] + 2 x[7] + x[8]) t + (x[2] + 2 x[3] + x[7] + 2 x[8] + x[9] + 2 x[11] + x[12]) t + x[11] + 2 x[12] + 2 x[9]], [2, 2 (x[1] + 2 x[2] + x[3] + 2 x[4] + x[6] + 2 x[8]) t + (2 x[1] + x[2] + 2 x[3] + x[4] + 2 x[6] + x[8] + 2 x[9] + 2 x[10] + x[11] + x[12]) t 2 + x[9] + 2 x[11] + 2 x[12] + x[10]], [2, (x[2] + x[5] + x[8]) t + (2 x[2] + 2 x[5] + 2 x[8] + x[10] + x[11] + 2 x[12]) t + 2 x[10] + 2 x[11] + x[12]], [2, 2 (2 x[1] + 2 x[2] + x[3] + x[4] + 2 x[5] + 2 x[8]) t + ( x[1] + x[2] + 2 x[3] + 2 x[4] + x[5] + x[8] + x[9] + 2 x[10] + 2 x[12] 2 ) t + 2 x[9] + x[12] + x[10]], [2, (x[2] + 2 x[8] + x[7] + 2 x[3]) t + (2 x[2] + x[3] + 2 x[7] + x[8] + 2 x[9] + x[11] + 2 x[12]) t + 2 x[11] + x[9] + x[12]], [2, 2 (x[1] + x[2] + 2 x[3] + 2 x[4] + x[5] + x[8]) t + (2 x[1] + 2 x[2] + x[3] + x[4] + 2 x[5] + 2 x[8] + 2 x[9] + x[10] + x[12]) t + x[9] 2 + 2 x[12] + 2 x[10]], [2, (2 x[2] + 2 x[6] + x[7]) t + (x[2] + x[6] + 2 x[7] + 2 x[9] + x[10] + 2 x[11]) t + x[9] 2 + 2 x[10] + x[11]], [2, (2 x[5] + 2 x[8] + 2 x[2]) t + (x[2] + x[5] + x[8] + 2 x[10] + 2 x[11] + x[12]) t + x[11] + 2 x[12] + x[10]], [2, 2 (2 x[1] + x[2] + x[8] + x[4] + 2 x[6] + 2 x[3]) t + (x[1] + 2 x[2] + x[3] + 2 x[4] + x[6] + 2 x[8] + x[9] + x[10] + 2 x[11] + 2 x[12]) t + 2 x[9] + x[12] + 2 x[10] + x[11]]] Knot, 24 [[5, 0]] Knot, 25 [[5, 0]] Knot, 26 [[5, 0]] Knot, 27 [[5, 0]] Knot, 28 [[5, 0]] Knot, 29 [[5, 0]] Knot, 30 [[5, 0], [2, 2 (2 x[1] + x[4] + 2 x[6] + 2 x[8] + x[2] + x[7] + x[3] + 2 x[5]) t + ( x[1] + 2 x[4] + 2 x[7] + x[8] + x[5] + x[6] + 2 x[3] + 2 x[2] + 2 x[12] + 2 x[11]) t + x[11] + x[12]], [2, 2 (2 x[1] + x[4] + x[2] + 2 x[3] + 2 x[5] + 2 x[7]) t + (x[1] + 2 x[2] + x[7] + x[5] + 2 x[4] + 2 x[9] + 2 x[10] + 2 x[11] + x[3]) t + x[10] + x[11] + x[9]], [2, 2 (2 x[1] + 2 x[2] + 2 x[3] + x[4] + 2 x[7] + x[8]) t + (x[1] + x[2] + x[3] + 2 x[4] + x[7] + 2 x[8] + 2 x[9] + 2 x[12]) t + x[9] + x[12]], [2, 2 (x[2] + x[1] + 2 x[7] + 2 x[4] + 2 x[3] + x[6]) t + (2 x[12] + 2 x[10] + x[3] + 2 x[6] + 2 x[2] + x[7] + x[4] + 2 x[1]) t 2 + x[12] + x[10]], [2, (x[3] + x[5] + x[6] + x[1] + 2 x[4]) t + (2 x[9] + 2 x[11] + 2 x[1] + x[4] + 2 x[5] + 2 x[6] + 2 x[3]) t 2 + x[11] + x[9]], [2, (2 x[2] + x[3] + x[5] + 2 x[6] + 2 x[8]) t + (x[2] + 2 x[3] + 2 x[5] + x[6] + x[8] + 2 x[10] + 2 x[11]) t 2 + x[10] + x[11]], [2, (2 x[3] + 2 x[5] + x[7] + x[8]) t + (x[3] + x[5] + 2 x[7] + 2 x[8] + 2 x[9] + 2 x[10]) t + x[10] + x[9] 2 ], [2, (x[1] + 2 x[3] + 2 x[4]) t + (x[4] + 2 x[1] + x[3] + 2 x[12] + 2 x[11] + 2 x[9]) t + x[11] 2 + x[9] + x[12]], [2, (2 x[6] + x[8] + x[7] + x[5]) t + (2 x[7] + 2 x[8] + 2 x[5] + x[6] + 2 x[10] + 2 x[9] + 2 x[12]) t 2 + x[9] + x[12] + x[10]], [2, (2 x[2] + 2 x[3] + x[6] + 2 x[8]) t + (x[2] + x[8] + 2 x[6] + x[3] + 2 x[11] + 2 x[12] + 2 x[10]) t + x[12] + x[10] + x[11]]] Knot, 31 [[5, 0]] Knot, 32 2 [[5, 0], [2, (x[2] + 2 x[4] + x[1] + x[8] + x[5] + 2 x[3]) t + (2 x[2] + x[4] + 2 x[1] + 2 x[8] + 2 x[5] + x[12] + 2 x[9] + x[10] + x[3]) t + x[9] + 2 x[10] + 2 x[12]], [2, 2 (x[2] + 2 x[1] + x[4] + 2 x[3] + x[8] + 2 x[6]) t + (2 x[12] + x[10] + 2 x[2] + 2 x[4] + x[1] + 2 x[8] + x[6] + x[3] + x[9] + 2 x[11]) t + x[11] + 2 x[9] + x[12] + 2 x[10]], [2, 2 (2 x[2] + x[6] + 2 x[4] + x[1] + 2 x[8] + x[3]) t + (2 x[9] + x[12] + x[2] + 2 x[3] + x[8] + 2 x[6] + 2 x[1] + x[4] + 2 x[10] + x[11]) t + x[10] + x[9] + 2 x[11] + 2 x[12]], [2, 2 (2 x[2] + x[4] + 2 x[1] + 2 x[8] + 2 x[5] + x[3]) t + ( x[1] + x[2] + 2 x[4] + x[8] + 2 x[10] + 2 x[3] + x[5] + x[9] + 2 x[12] 2 ) t + 2 x[9] + x[10] + x[12]], [2, (x[2] + 2 x[3] + x[7] + 2 x[8]) t + (x[3] + 2 x[7] + x[8] + 2 x[2] + 2 x[12] + 2 x[9] + x[11]) t 2 + 2 x[11] + x[12] + x[9]], [2, (x[7] + 2 x[6] + 2 x[2]) t + (2 x[7] + x[6] + 2 x[11] + x[10] + 2 x[9] + x[2]) t + x[9] 2 + 2 x[10] + x[11]], [2, (2 x[7] + x[8] + x[3] + 2 x[2]) t + (2 x[3] + x[7] + 2 x[8] + x[2] + 2 x[11] + x[12] + x[9]) t + 2 x[9] 2 + x[11] + 2 x[12]], [2, (x[2] + 2 x[7] + x[6]) t + (x[7] + 2 x[6] + x[11] + 2 x[10] + x[9] + 2 x[2]) t + 2 x[9] 2 + x[10] + 2 x[11]], [2, (2 x[2] + 2 x[5] + 2 x[8]) t + (x[2] + x[5] + x[12] + 2 x[11] + x[8] + 2 x[10]) t + x[11] 2 + 2 x[12] + x[10]], [2, (x[2] + x[5] + x[8]) t + (2 x[2] + 2 x[5] + 2 x[12] + x[11] + 2 x[8] + x[10]) t + 2 x[10] + x[12] + 2 x[11]]] Knot, 33 [[5, 0]] Knot, 34 [[5, 0]] Knot, 35 2 [[5, 0], [2, (x[2] + x[8] + x[3] + 2 x[6]) t + (2 x[2] + 2 x[3] + x[6] + 2 x[8] + x[10] + x[11] + x[12]) t + 2 x[12] + 2 x[10] + 2 x[11]], [2, 2 (x[6] + 2 x[7] + 2 x[5] + 2 x[8]) t + (x[10] + x[7] + x[8] + x[5] + 2 x[6] + x[12] + x[9]) t + 2 x[9] 2 + 2 x[12] + 2 x[10]], [2, (x[2] + 2 x[5] + 2 x[3] + x[6] + x[8]) t + (2 x[2] + x[3] + x[5] + 2 x[6] + 2 x[8] + x[10] + x[11]) t + 2 x[11] + 2 x[10]], [2, 2 (x[1] + 2 x[4] + x[7] + x[5] + x[3] + 2 x[2]) t + ( x[9] + 2 x[1] + x[2] + 2 x[7] + 2 x[5] + x[4] + 2 x[3] + x[11] + x[10] ) t + 2 x[10] + 2 x[11] + 2 x[9]], [2, 2 (x[3] + x[5] + 2 x[7] + 2 x[8]) t + (2 x[3] + 2 x[5] + x[7] + x[8] + x[9] + x[10]) t + 2 x[9] + 2 x[10] ], [2, 2 (2 x[2] + 2 x[3] + 2 x[4] + x[6] + 2 x[7] + x[5] + x[1] + x[8]) t + ( 2 x[1] + x[2] + x[3] + x[4] + 2 x[5] + 2 x[6] + x[7] + 2 x[8] + x[11] + x[12]) t + 2 x[12] + 2 x[11]], [2, 2 (2 x[1] + x[3] + x[4] + 2 x[6] + x[7] + 2 x[2]) t + (x[1] + x[2] + 2 x[3] + 2 x[4] + x[6] + 2 x[7] + x[10] + x[12]) t + 2 x[10] + 2 x[12]], [2, 2 (2 x[1] + 2 x[3] + x[4] + 2 x[6] + 2 x[5]) t + (x[11] + x[1] + x[5] + 2 x[4] + x[3] + x[6] + x[9]) t + 2 x[11] 2 + 2 x[9]], [2, (x[3] + 2 x[1] + x[4]) t + (x[1] + 2 x[3] + 2 x[4] + x[9] + x[11] + x[12]) t + 2 x[11] + 2 x[9] + 2 x[12]], [2, 2 (x[3] + x[7] + 2 x[8] + x[2] + x[1] + 2 x[4]) t + (2 x[1] + 2 x[2] + 2 x[3] + x[4] + 2 x[7] + x[8] + x[9] + x[12]) t + 2 x[12] + 2 x[9]]]