Generated 8/31/05 2-cocycle twisted invariants Z_2[t,t^(-1)]/(t^3+t^2+1) 3 element quandle [0 2 1] [ ] [2 1 0] [ ] [1 0 2] Knot, 1 [[9, 0]] Knot, 2 [[3, 0]] Knot, 3 [[3, 0]] Knot, 4 [[3, 0]] Knot, 5 2 [[3, 0], [1, (x[3] + x[4] + x[5] + x[2]) t + (x[1] + x[4] + x[5]) t + x[6] 2 + x[1] + x[5]], [1, (x[1] + x[4] + x[5]) t + (x[3] + x[5] + x[6] + x[2] + x[1]) t + x[1] + x[2] + x[6] + x[5]], 2 [1, (x[3] + x[2] + x[1]) t + (x[2] + x[3] + x[4] + x[6]) t + x[2]], [ 2 1, (x[2] + x[3]) t + (x[2] + x[1] + x[4] + x[6]) t + x[1] + x[2] + x[6] + x[5]], [1, 2 (x[4] + x[1] + x[5] + x[2]) t + (x[1] + x[3] + x[4] + x[6]) t + x[1]] , [1, 2 (x[4] + x[5] + x[3] + x[1]) t + (x[2] + x[3]) t + x[6] + x[2] + x[5]] ] Knot, 6 [[3, 0]] Knot, 7 [[3, 0]] Knot, 8 [[3, 0]] Knot, 9 [[3, 0]] Knot, 10 [[3, 0]] Knot, 11 2 [[3, 0], [2, (x[3] + x[1]) t + (x[3] + x[5] + x[6]) t + x[5] + x[6]], 2 [2, (x[4] + x[2] + x[1] + x[5] + x[3]) t + (x[3] + x[5] + x[4]) t], 2 [2, (x[4] + x[2] + x[5]) t + (x[4] + x[6]) t + x[5] + x[6]]] Knot, 12 [[3, 0]] Knot, 13 [[3, 0]] Knot, 14 2 [[3, 0], [2, x[2] t + (x[4] + x[5] + x[2]) t + x[6] + x[5] + x[2]], 2 [2, x[1] t + (x[3] + x[1]) t + x[5] + x[6] + x[1]], [2, 2 (x[2] + x[1]) t + (x[1] + x[2] + x[4] + x[3] + x[5]) t + x[2] + x[1]] ] Knot, 15 [[3, 0]] Knot, 16 [[3, 0]] Knot, 17 [[3, 0]] Knot, 18 [[3, 0]] Knot, 19 [[9, 0]] Knot, 20 [[3, 0]] Knot, 21 [[3, 0]] Knot, 22 [[3, 0]] Knot, 23 [[3, 0]] Knot, 24 [[9, 0]] Knot, 25 2 [[3, 0], [2, (x[2] + x[4] + x[5]) t + (x[4] + x[6]) t + x[6] + x[5]], 2 [2, (x[4] + x[5] + x[2] + x[1] + x[3]) t + (x[3] + x[5] + x[4]) t], 2 [2, (x[1] + x[3]) t + (x[3] + x[5] + x[6]) t + x[6] + x[5]]] Knot, 26 [[3, 0]] Knot, 27 [[3, 0]] Knot, 28 [[3, 0]] Knot, 29 [[9, 0]] Knot, 30 [[3, 0]] Knot, 31 [[3, 0]] Knot, 32 2 [[3, 0], [8, (x[4] + x[3] + x[5]) t + (x[2] + x[1]) t + x[2] + x[1]], 2 [8, x[3] t + (x[5] + x[6] + x[1]) t + x[1]], 2 [8, (x[4] + x[5]) t + (x[5] + x[6] + x[2]) t + x[2]]] Knot, 33 [[9, 0]] Knot, 34 [[9, 0]] Knot, 35 [[9, 0]]