#TangleBraid Mochizuki 3-cocycle invariants for Alexander Quandles #3-cocycle formula f(x,y,z)=(x-y)^2^0 *(y-z)^2^1 *z^0 #Alexander Quandle Z_2[t^1,t^-1]/(t^2-t+1) #Generated Thu Jun 22 16:07:11 EDT 2006 TangleBraid3_1 TangleBraid[1, 1, 1] 16 TangleBraid4_1 TangleBraid[1, -2, 1, -2] 16 TangleBraid5_1 TangleBraid[1, 1, 1, 1, 1] 16 TangleBraid5_2 TangleBraid[1, 1, 1, 2, -1, 2] 16 TangleBraid6_1 TangleBraid[1, 1, 2, -1, -3, 2, -3] 16 TangleBraid6_2 TangleBraid[1, 1, 1, -2, 1, -2] 16 TangleBraid6_3 TangleBraid[1, 1, -2, 1, -2, -2] 16 TangleBraid7_1 TangleBraid[1, 1, 1, 1, 1, 1, 1] 16 TangleBraid7_2 TangleBraid[1, 1, 1, 2, -1, 2, 3, -2, 3] 16 TangleBraid7_3 TangleBraid[1, 1, 1, 1, 1, 2, -1, 2] 16 TangleBraid7_4 TangleBraid[1, 1, 2, -1, 2, 2, 3, -2, 3] 16 TangleBraid7_5 TangleBraid[1, 1, 1, 1, 2, -1, 2, 2] 16 TangleBraid7_6 TangleBraid[1, 1, -2, 1, 3, -2, 3] 16 TangleBraid7_7 TangleBraid[1, -2, 1, -2, 3, -2, 3] 16 TangleBraid8_1 TangleBraid[1, 1, 2, -1, 2, 3, -2, -4, 3, -4] 16 TangleBraid8_2 TangleBraid[1, 1, 1, 1, 1, -2, 1, -2] 16 TangleBraid8_3 TangleBraid[1, 1, 2, -1, -3, 2, -3, -4, 3, -4] 16 TangleBraid8_4 TangleBraid[1, 1, 1, -2, 1, -2, -3, 2, -3] 16 TangleBraid8_5 TangleBraid[1, 1, 1, -2, 1, 1, 1, -2] 16 TangleBraid8_6 TangleBraid[1, 1, 1, 1, 2, -1, -3, 2, -3] 16 TangleBraid8_7 TangleBraid[1, 1, 1, 1, -2, 1, -2, -2] 16 TangleBraid8_8 TangleBraid[1, 1, 1, 2, -1, -3, 2, -3, -3] 16 TangleBraid8_9 TangleBraid[1, 1, 1, -2, 1, -2, -2, -2] 16 TangleBraid8_10 TangleBraid[1, 1, 1, -2, 1, 1, -2, -2] 16 TangleBraid8_11 TangleBraid[1, 1, 2, -1, 2, 2, -3, 2, -3] 16 TangleBraid8_12 TangleBraid[1, -2, 1, 3, -2, -4, 3, -4] 16 TangleBraid8_13 TangleBraid[1, 1, -2, 1, -2, -2, -3, 2, -3] 16 TangleBraid8_14 TangleBraid[1, 1, 1, 2, -1, 2, -3, 2, -3] 16 TangleBraid8_15 TangleBraid[1, 1, -2, 1, 3, 2, 2, 2, 3] 16 TangleBraid8_16 TangleBraid[1, 1, -2, 1, 1, -2, 1, -2] 16 TangleBraid8_17 TangleBraid[1, 1, -2, 1, -2, 1, -2, -2] 16 TangleBraid8_18 TangleBraid[1, -2, 1, -2, 1, -2, 1, -2] 16+48*u^t TangleBraid8_19 TangleBraid[1, 1, 1, 2, 1, 1, 1, 2] 16 TangleBraid8_20 TangleBraid[1, 1, 1, -2, -1, -1, -1, -2] 16 TangleBraid8_21 TangleBraid[1, 1, 1, 2, -1, -1, 2, 2] 16 TangleBraid9_1 TangleBraid[1, 1, 1, 1, 1, 1, 1, 1, 1] 16 TangleBraid9_2 TangleBraid[1, 1, 1, 2, -1, 2, 3, -2, 3, 4, -3, 4] 16 TangleBraid9_3 TangleBraid[1, 1, 1, 1, 1, 1, 1, 2, -1, 2] 16 TangleBraid9_4 TangleBraid[1, 1, 1, 1, 1, 2, -1, 2, 3, -2, 3] 16 TangleBraid9_5 TangleBraid[1, 1, 2, -1, 2, 2, 3, -2, 3, 4, -3, 4] 16 TangleBraid9_6 TangleBraid[1, 1, 1, 1, 1, 1, 2, -1, 2, 2] 16 TangleBraid9_7 TangleBraid[1, 1, 1, 1, 2, -1, 2, 3, -2, 3, 3] 16 TangleBraid9_8 TangleBraid[1, 1, -2, 1, -2, -3, 2, 4, -3, 4] 16 TangleBraid9_9 TangleBraid[1, 1, 1, 1, 1, 2, -1, 2, 2, 2] 16 TangleBraid9_10 TangleBraid[1, 1, 2, -1, 2, 2, 2, 2, 3, -2, 3] 16 TangleBraid9_11 TangleBraid[1, 1, 1, 1, -2, 1, 3, -2, 3] 16 TangleBraid9_12 TangleBraid[1, 1, -2, 1, 3, -2, 3, 4, -3, 4] 16 TangleBraid9_13 TangleBraid[1, 1, 1, 1, 2, -1, 2, 2, 3, -2, 3] 16 TangleBraid9_14 TangleBraid[1, 1, 2, -1, -3, 2, -3, 4, -3, 4] 16 TangleBraid9_15 TangleBraid[1, 1, 1, 2, -1, -3, 2, 4, -3, 4] 16 TangleBraid9_16 TangleBraid[1, 1, 1, 1, 2, 2, -1, 2, 2, 2] 16 TangleBraid9_17 TangleBraid[1, -2, 1, -2, -2, -2, 3, -2, 3] 16 TangleBraid9_18 TangleBraid[1, 1, 1, 2, -1, 2, 2, 2, 3, -2, 3] 16 TangleBraid9_19 TangleBraid[1, -2, 1, -2, -2, -3, 2, 4, -3, 4] 16 TangleBraid9_20 TangleBraid[1, 1, 1, -2, 1, 3, -2, 3, 3] 16 TangleBraid9_21 TangleBraid[1, 1, 2, -1, 2, -3, 2, 4, -3, 4] 16 TangleBraid9_22 TangleBraid[1, -2, 1, -2, 3, -2, -2, -2, 3] 16 TangleBraid9_23 TangleBraid[1, 1, 1, 2, -1, 2, 2, 3, -2, 3, 3] 16 TangleBraid9_24 TangleBraid[1, 1, -2, 1, 3, -2, -2, -2, 3] 16 TangleBraid9_25 TangleBraid[1, 1, -2, 1, 3, 2, 2, -4, 3, -4] 16 TangleBraid9_26 TangleBraid[1, 1, 1, -2, 1, -2, 3, -2, 3] 16 TangleBraid9_27 TangleBraid[1, 1, -2, 1, -2, -2, 3, -2, 3] 16 TangleBraid9_28 TangleBraid[1, 1, -2, 1, 3, -2, -2, 3, 3] 16 TangleBraid9_29 TangleBraid[1, -2, -2, 3, -2, 1, -2, 3, -2] 16 TangleBraid9_30 TangleBraid[1, 1, -2, -2, 1, -2, 3, -2, 3] 16 TangleBraid9_31 TangleBraid[1, 1, -2, 1, -2, 3, -2, 3, 3] 16 TangleBraid9_32 TangleBraid[1, 1, -2, 1, -2, 1, 3, -2, 3] 16 TangleBraid9_33 TangleBraid[1, -2, 1, -2, -2, 1, 3, -2, 3] 16 TangleBraid9_34 TangleBraid[1, -2, 1, -2, 3, -2, 1, -2, 3] 16 TangleBraid9_35 TangleBraid[1, 1, 2, -1, 2, 2, 3, -2, -2, 4, -3, 2, 4, 3] 16 TangleBraid9_36 TangleBraid[1, 1, 1, -2, 1, 1, 3, -2, 3] 16 TangleBraid9_37 TangleBraid[1, 1, -2, 1, 3, -2, -1, -4, 3, -2, 3, -4] 16 TangleBraid9_38 TangleBraid[1, 1, 2, 2, -3, 2, -1, 2, 3, 3, 2] 16 TangleBraid9_39 TangleBraid[1, 1, 2, -1, -3, -2, 1, 4, 3, -2, 3, 4] 16 TangleBraid9_40 TangleBraid[1, -2, 1, 3, -2, 1, 3, -2, 3] 16+48*u^t TangleBraid9_41 TangleBraid[1, 1, 2, -1, -3, -2, -2, 4, 3, -2, 3, 4] 16 TangleBraid9_42 TangleBraid[1, 1, 1, -2, -1, -1, 3, -2, 3] 16 TangleBraid9_43 TangleBraid[1, 1, 1, 2, 1, 1, -3, 2, -3] 16 TangleBraid9_44 TangleBraid[1, 1, 1, 2, -1, -1, -3, 2, -3] 16 TangleBraid9_45 TangleBraid[1, 1, 2, -1, 2, 1, 3, -2, 3] 16 TangleBraid9_46 TangleBraid[1, -2, 1, -2, 3, 2, -1, 2, 3] 16 TangleBraid9_47 TangleBraid[1, -2, 1, -2, -3, -2, 1, -2, -3] 16 TangleBraid9_48 TangleBraid[1, 1, 2, -1, 2, 1, -3, 2, -1, 2, -3] 16 TangleBraid9_49 TangleBraid[1, 1, 2, 1, 1, -3, 2, -1, 2, 3, 3] 16 #Generated Thu Jun 22 16:07:35 EDT 2006