Generated 8/31/05 2-cocycle twisted invariants Z_5[t,t^(-1)]/(t^2+2*t+2) 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 [[3, 0], [1, (2 x[2] + 2 x[1] + 2 x[4]) t + 3 x[2] + 3 x[1] + 3 x[4]], [1, (2 x[2] + 2 x[4] + 2 x[3]) t + 3 x[2] + 3 x[4] + 3 x[3]], [1, (3 x[2] + 3 x[1] + 3 x[4]) t + 2 x[2] + 2 x[1] + 2 x[4]], [1, (3 x[1] + 2 x[3]) t + 2 x[1] + 3 x[3]], [1, (2 x[1] + 3 x[3]) t + 3 x[1] + 2 x[3]], [1, (3 x[2] + 3 x[4] + 3 x[3]) t + 2 x[2] + 2 x[4] + 2 x[3]]] Knot, 6 [[3, 0]] Knot, 7 [[3, 0]] Knot, 8 [[3, 0]] Knot, 9 [[3, 0]] Knot, 10 [[3, 0]] Knot, 11 [[3, 0], [ 2, (x[2] + 4 x[1] + x[4] + 2 x[3]) t + 4 x[2] + 3 x[3] + x[1] + 4 x[4] ], [ 2, (x[2] + x[4] + 4 x[3] + 2 x[1]) t + 4 x[2] + 3 x[1] + x[3] + 4 x[4] ], [2, (4 x[1] + 4 x[3] + 3 x[2] + 3 x[4]) t + 2 x[2] + 2 x[4] + x[1] + x[3]] ] Knot, 12 [[3, 0]] Knot, 13 [[3, 0]] Knot, 14 [[3, 0], [2, (x[2] + 3 x[1] + x[4] + 3 x[3]) t + 4 x[2] + 4 x[4] + 2 x[3] + 2 x[1]] , [2, (2 x[2] + 4 x[1] + 2 x[4] + 3 x[3]) t + x[1] + 2 x[3] + 3 x[2] + 3 x[4]], [2, (2 x[2] + 2 x[4] + 4 x[3] + 3 x[1]) t + 2 x[1] + x[3] + 3 x[2] + 3 x[4]]] 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 [[3, 0], [ 2, (x[2] + x[4] + 2 x[3] + 4 x[1]) t + 4 x[2] + 4 x[4] + 3 x[3] + x[1] ], [ 2, (x[2] + 2 x[1] + x[4] + 4 x[3]) t + 4 x[2] + 3 x[1] + 4 x[4] + x[3] ], [2, (3 x[2] + 4 x[1] + 3 x[4] + 4 x[3]) t + 2 x[2] + x[1] + 2 x[4] + x[3]] ] 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 [[3, 0], [ 4, (x[2] + 2 x[1] + x[4] + 4 x[3]) t + 3 x[1] + x[3] + 4 x[2] + 4 x[4] ], [4, (2 x[2] + 2 x[4] + x[3] + x[1]) t + 3 x[2] + 4 x[1] + 3 x[4] + 4 x[3]] , [ 4, (x[1] + 3 x[3] + 4 x[2] + 4 x[4]) t + x[2] + x[4] + 2 x[3] + 4 x[1] ], [ 4, (x[2] + x[4] + 2 x[3] + 4 x[1]) t + x[1] + 3 x[3] + 4 x[2] + 4 x[4] ], [4, (3 x[2] + 4 x[1] + 3 x[4] + 4 x[3]) t + 2 x[2] + 2 x[4] + x[3] + x[1]] , [ 4, (3 x[1] + x[3] + 4 x[2] + 4 x[4]) t + x[2] + 2 x[1] + x[4] + 4 x[3] ]] Knot, 33 [[9, 0]] Knot, 34 [[9, 0]] Knot, 35 [[9, 0]]