Generated 8/31/05
2-cocycle twisted invariants
Z_2[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, x[2] t  + (x[6] + x[5] + x[2] + x[1]) t + x[3] + x[2] + x[1]],

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

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

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

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

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

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

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

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

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

         + x[2]], [2,

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

        ]

                                   Knot, 12

                                   [[3, 0]]

                                   Knot, 13

                                   [[3, 0]]

                                   Knot, 14

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

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

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

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

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

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

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

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

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

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

                                   Knot, 33

                                   [[9, 0]]

                                   Knot, 34

                                   [[9, 0]]

                                   Knot, 35

                                   [[9, 0]]