#TangleBraid Mochizuki 3-cocycle invariants for Alexander Quandles #3-cocycle formula f(x,y,z)=(x-y)^3^0 *(y-z)^3^2 *z^0 #Alexander Quandle Z_3[t^1,t^-1]/(t+1) #Generated Thu Jun 22 16:29:53 EDT 2006 TangleBraid3_1 TangleBraid[1, 1, 1] 9 TangleBraid4_1 TangleBraid[1, -2, 1, -2] 9 TangleBraid5_1 TangleBraid[1, 1, 1, 1, 1] 9 TangleBraid5_2 TangleBraid[1, 1, 1, 2, -1, 2] 9 TangleBraid6_1 TangleBraid[1, 1, 2, -1, -3, 2, -3] 9 TangleBraid6_2 TangleBraid[1, 1, 1, -2, 1, -2] 9 TangleBraid6_3 TangleBraid[1, 1, -2, 1, -2, -2] 9 TangleBraid7_1 TangleBraid[1, 1, 1, 1, 1, 1, 1] 9 TangleBraid7_2 TangleBraid[1, 1, 1, 2, -1, 2, 3, -2, 3] 9 TangleBraid7_3 TangleBraid[1, 1, 1, 1, 1, 2, -1, 2] 9 TangleBraid7_4 TangleBraid[1, 1, 2, -1, 2, 2, 3, -2, 3] 9 TangleBraid7_5 TangleBraid[1, 1, 1, 1, 2, -1, 2, 2] 9 TangleBraid7_6 TangleBraid[1, 1, -2, 1, 3, -2, 3] 9 TangleBraid7_7 TangleBraid[1, -2, 1, -2, 3, -2, 3] 9 TangleBraid8_1 TangleBraid[1, 1, 2, -1, 2, 3, -2, -4, 3, -4] 9 TangleBraid8_2 TangleBraid[1, 1, 1, 1, 1, -2, 1, -2] 9 TangleBraid8_3 TangleBraid[1, 1, 2, -1, -3, 2, -3, -4, 3, -4] 9 TangleBraid8_4 TangleBraid[1, 1, 1, -2, 1, -2, -3, 2, -3] 9 TangleBraid8_5 TangleBraid[1, 1, 1, -2, 1, 1, 1, -2] 9 TangleBraid8_6 TangleBraid[1, 1, 1, 1, 2, -1, -3, 2, -3] 9 TangleBraid8_7 TangleBraid[1, 1, 1, 1, -2, 1, -2, -2] 9 TangleBraid8_8 TangleBraid[1, 1, 1, 2, -1, -3, 2, -3, -3] 9 TangleBraid8_9 TangleBraid[1, 1, 1, -2, 1, -2, -2, -2] 9 TangleBraid8_10 TangleBraid[1, 1, 1, -2, 1, 1, -2, -2] 9 TangleBraid8_11 TangleBraid[1, 1, 2, -1, 2, 2, -3, 2, -3] 9 TangleBraid8_12 TangleBraid[1, -2, 1, 3, -2, -4, 3, -4] 9 TangleBraid8_13 TangleBraid[1, 1, -2, 1, -2, -2, -3, 2, -3] 9 TangleBraid8_14 TangleBraid[1, 1, 1, 2, -1, 2, -3, 2, -3] 9 TangleBraid8_15 TangleBraid[1, 1, -2, 1, 3, 2, 2, 2, 3] 9 TangleBraid8_16 TangleBraid[1, 1, -2, 1, 1, -2, 1, -2] 9 TangleBraid8_17 TangleBraid[1, 1, -2, 1, -2, 1, -2, -2] 9 TangleBraid8_18 TangleBraid[1, -2, 1, -2, 1, -2, 1, -2] 27 TangleBraid8_19 TangleBraid[1, 1, 1, 2, 1, 1, 1, 2] 9 TangleBraid8_20 TangleBraid[1, 1, 1, -2, -1, -1, -1, -2] 9 TangleBraid8_21 TangleBraid[1, 1, 1, 2, -1, -1, 2, 2] 9 #Generated Thu Jun 22 16:30:03 EDT 2006