Generated 8/31/05
2-cocycle twisted invariants
Z_5[t,t^(-1)]/(t^3+t+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, (3 x[1] + 4 x[5] + 3 x[6] + 3 x[4] + x[3] + x[2]) t

         + (2 x[3] + 2 x[1] + 2 x[5] + 4 x[4] + 4 x[2] + 2 x[6]) t + 4 x[6]

         + 4 x[4] + 3 x[2] + x[5] + 3 x[1]], [1,

                                                             2
        (3 x[1] + 4 x[5] + 3 x[2] + x[3] + 3 x[6] + 3 x[4]) t

         + (4 x[6] + x[1] + 4 x[4] + 4 x[5] + 4 x[2] + 2 x[3]) t + x[4]

         + 2 x[2] + 2 x[1]], [1,

                                                           2
        (3 x[1] + 4 x[5] + x[4] + 2 x[6] + 3 x[3] + x[2]) t

         + (4 x[3] + 4 x[1] + 4 x[2] + 3 x[6] + 3 x[4]) t + 4 x[5] + 3 x[2]

                                                                       2
         + 2 x[3] + x[6]], [1, (4 x[1] + 2 x[5] + x[4] + x[2] + x[3]) t

         + (2 x[2] + 3 x[6] + 3 x[4] + x[5] + 4 x[3]) t + 4 x[6] + 4 x[4]

         + 3 x[3] + x[5] + 3 x[1]], [1,

                                                  2
        (x[4] + 4 x[1] + x[2] + 3 x[3] + 2 x[5]) t

         + (x[5] + x[4] + 2 x[6] + 2 x[2] + 4 x[3]) t + 4 x[5] + 2 x[3] + x[6]

                                                                  2
        ], [1, (2 x[6] + 3 x[1] + x[4] + 4 x[5] + 3 x[2] + x[3]) t

         + (4 x[2] + x[6] + 3 x[1] + 4 x[3] + 2 x[5]) t + x[4] + 2 x[2]

         + 3 x[3] + 2 x[1]]]

                                    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, (3 x[1] + 4 x[5] + 3 x[4] + 3 x[6] + 2 x[3] + 4 x[2]) t

         + (4 x[2] + 2 x[3] + 3 x[1] + 3 x[4] + 2 x[6]) t + x[5] + 4 x[6]

         + 2 x[3] + 4 x[2]], [2,

                                                             2
        (4 x[3] + 3 x[1] + 4 x[5] + 2 x[6] + x[4] + 4 x[2]) t

         + (4 x[2] + 4 x[3] + 3 x[6] + 2 x[4] + 3 x[5]) t + 4 x[5] + 4 x[3]

         + 2 x[1] + x[4] + 4 x[2] + x[6]], [2,

                                                    2
        (4 x[1] + x[4] + 2 x[5] + 2 x[2] + 4 x[3]) t

         + (2 x[2] + 4 x[3] + 2 x[1] + 2 x[5]) t + 4 x[4] + 2 x[2] + 3 x[1]

         + 4 x[3]]]

                                   Knot, 12

                                   [[3, 0]]

                                   Knot, 13

                                   [[3, 0]]

                                   Knot, 14

                                  2
  [[3, 0], [2, (4 x[2] + 2 x[3]) t  + (3 x[6] + 3 x[1] + 3 x[4] + 4 x[5]) t

                                                                    2
         + 4 x[3] + 3 x[2] + 4 x[6] + x[5]], [2, (4 x[3] + 4 x[2]) t

         + (3 x[1] + 4 x[5] + 2 x[6] + x[4]) t + 3 x[3] + x[4] + 2 x[1]

                                                           2
         + 4 x[5] + x[6] + 3 x[2]], [2, (2 x[2] + 4 x[3]) t

         + (4 x[1] + 2 x[5] + x[4]) t + 4 x[2] + 3 x[3] + 3 x[1] + 4 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

                                                                    2
  [[3, 0], [2, (4 x[2] + 4 x[3] + 2 x[6] + 3 x[1] + x[4] + 4 x[5]) t

         + (4 x[2] + 3 x[6] + 2 x[4] + 4 x[3] + 3 x[5]) t + x[4] + 4 x[2]

         + 4 x[5] + x[6] + 2 x[1] + 4 x[3]], [2,

                                                               2
        (3 x[1] + 4 x[5] + 4 x[2] + 2 x[3] + 3 x[6] + 3 x[4]) t

         + (4 x[2] + 2 x[3] + 3 x[1] + 2 x[6] + 3 x[4]) t + 4 x[6] + 4 x[2]

                                                                           2
         + 2 x[3] + x[5]], [2, (x[4] + 4 x[1] + 2 x[2] + 4 x[3] + 2 x[5]) t

         + (2 x[2] + 4 x[3] + 2 x[1] + 2 x[5]) t + 4 x[3] + 3 x[1] + 2 x[2]

         + 4 x[4]]]

                                   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], [4, (3 x[6] + 3 x[1] + 3 x[4] + 4 x[5]) t

         + (4 x[6] + 2 x[3] + x[5] + 4 x[2]) t + x[2] + 3 x[3]], [4,

                                           2
        (3 x[1] + 4 x[5] + 2 x[6] + x[4]) t

         + (4 x[3] + 4 x[2] + 2 x[1] + 4 x[5] + x[6] + x[4]) t + x[2] + x[3]],

                                               2
        [4, (2 x[1] + x[5] + 4 x[4] + 3 x[6]) t

         + (x[2] + 3 x[1] + x[5] + 4 x[4] + x[3] + 4 x[6]) t + 4 x[3] + 4 x[2]

                                         2
        ], [4, (x[1] + 3 x[5] + 4 x[4]) t  + (2 x[1] + x[4] + 3 x[2] + x[3]) t

                                                                    2
         + 2 x[2] + 4 x[3]], [4, (2 x[6] + 2 x[1] + 2 x[4] + x[5]) t

         + (x[6] + 3 x[3] + 4 x[5] + x[2]) t + 2 x[3] + 4 x[2]], [4,

                                  2
        (4 x[1] + 2 x[5] + x[4]) t  + (3 x[1] + 2 x[2] + 4 x[3] + 4 x[4]) t

         + x[3] + 3 x[2]]]

                                   Knot, 33

                                   [[9, 0]]

                                   Knot, 34

                                   [[9, 0]]

                                   Knot, 35

                                   [[9, 0]]