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