#Mochizuki 3-cocycle invariants for the Dihedral Quandle R_31 #3-cocycle formula in Z_31 is f(x,y,z)=(x-y)[(2z^31 -j^31)-(2z-y)^31]/31 #Generated Mon Sep 19 19:05:33 EDT 2005 bar3_1 [1, 1, 1] 961 bar4_1 [-2, 1, -2, 1] 961 bar5_1 [1, 1, 1, 1, 1] 961 bar5_2 [2, -1, 2, 1, 1, 1] 961 bar6_1 [-3, 2, -3, -1, 2, 1, 1] 961 bar6_2 [-2, 1, -2, 1, 1, 1] 961 bar6_3 [-2, -2, 1, -2, 1, 1] 961 bar7_1 [1, 1, 1, 1, 1, 1, 1] 961 bar7_2 [3, -2, 3, 2, -1, 2, 1, 1, 1] 961 bar7_3 [2, -1, 2, 1, 1, 1, 1, 1] 961 bar7_4 [3, -2, 3, 2, 2, -1, 2, 1, 1] 961 bar7_5 [2, 2, -1, 2, 1, 1, 1, 1] 961 bar7_6 [3, -2, 3, 1, -2, 1, 1] 961 bar7_7 [3, -2, 3, -2, 1, -2, 1] 961 bar8_1 [-4, 3, -4, -2, 3, 2, -1, 2, 1, 1] 961 bar8_2 [-2, 1, -2, 1, 1, 1, 1, 1] 961 bar8_3 [-4, 3, -4, -3, 2, -3, -1, 2, 1, 1] 961 bar8_4 [-3, 2, -3, -2, 1, -2, 1, 1, 1] 961 bar8_5 [-2, 1, 1, 1, -2, 1, 1, 1] 961 bar8_6 [-3, 2, -3, -1, 2, 1, 1, 1, 1] 961 bar8_7 [-2, -2, 1, -2, 1, 1, 1, 1] 961 bar8_8 [-3, -3, 2, -3, -1, 2, 1, 1, 1] 961 bar8_9 [-2, -2, -2, 1, -2, 1, 1, 1] 961 bar8_10 [-2, -2, 1, 1, -2, 1, 1, 1] 961 bar8_11 [-3, 2, -3, 2, 2, -1, 2, 1, 1] 961 bar8_12 [-4, 3, -4, -2, 3, 1, -2, 1] 961 bar8_13 [-3, 2, -3, -2, -2, 1, -2, 1, 1] 961 bar8_14 [-3, 2, -3, 2, -1, 2, 1, 1, 1] 961+1922*u^13+1922*u^21+1922*u^24+1922*u^22+1922*u^15+1922*u^3+1922*u^17+1922*u^26+1922*u^30+1922*u^29+1922*u^23+1922*u^12+1922*u^27+1922*u^6+1922*u^11 bar8_15 [3, 2, 2, 2, 3, 1, -2, 1, 1] 961 bar8_16 [-2, 1, -2, 1, 1, -2, 1, 1] 961 bar8_17 [-2, -2, 1, -2, 1, -2, 1, 1] 961 bar8_18 [-2, 1, -2, 1, -2, 1, -2, 1] 961 bar8_19 [2, 1, 1, 1, 2, 1, 1, 1] 961 bar8_20 [-2, -1, -1, -1, -2, 1, 1, 1] 961 bar8_21 [2, 2, -1, -1, 2, 1, 1, 1] 961 bar9_1 [1, 1, 1, 1, 1, 1, 1, 1, 1] 961 bar9_2 [4, -3, 4, 3, -2, 3, 2, -1, 2, 1, 1, 1] 961 bar9_3 [2, -1, 2, 1, 1, 1, 1, 1, 1, 1] 961 bar9_4 [3, -2, 3, 2, -1, 2, 1, 1, 1, 1, 1] 961 bar9_5 [4, -3, 4, 3, -2, 3, 2, 2, -1, 2, 1, 1] 961 bar9_6 [2, 2, -1, 2, 1, 1, 1, 1, 1, 1] 961 bar9_7 [3, 3, -2, 3, 2, -1, 2, 1, 1, 1, 1] 961 bar9_8 [4, -3, 4, 2, -3, -2, 1, -2, 1, 1] 961+1922*u^11+1922*u^13+1922*u^6+1922*u^21+1922*u^27+1922*u^24+1922*u^12+1922*u^22+1922*u^23+1922*u^15+1922*u^29+1922*u^3+1922*u^30+1922*u^17+1922*u^26 bar9_9 [2, 2, 2, -1, 2, 1, 1, 1, 1, 1] 961+1922*u^7+1922*u^28+1922*u+1922*u^19+1922*u^20+1922*u^4+1922*u^2+1922*u^14+1922*u^9+1922*u^18+1922*u^10+1922*u^16+1922*u^5+1922*u^8+1922*u^25 bar9_10 [3, -2, 3, 2, 2, 2, 2, -1, 2, 1, 1] 961 bar9_11 [3, -2, 3, 1, -2, 1, 1, 1, 1] 961 bar9_12 [4, -3, 4, 3, -2, 3, 1, -2, 1, 1] 961 bar9_13 [3, -2, 3, 2, 2, -1, 2, 1, 1, 1, 1] 961 bar9_14 [4, -3, 4, -3, 2, -3, -1, 2, 1, 1] 961 bar9_15 [4, -3, 4, 2, -3, -1, 2, 1, 1, 1] 961 bar9_16 [2, 2, 2, -1, 2, 2, 1, 1, 1, 1] 961 bar9_17 [3, -2, 3, -2, -2, -2, 1, -2, 1] 961 bar9_18 [3, -2, 3, 2, 2, 2, -1, 2, 1, 1, 1] 961 bar9_19 [4, -3, 4, 2, -3, -2, -2, 1, -2, 1] 961 bar9_20 [3, 3, -2, 3, 1, -2, 1, 1, 1] 961 bar9_21 [4, -3, 4, 2, -3, 2, -1, 2, 1, 1] 961 bar9_22 [3, -2, -2, -2, 3, -2, 1, -2, 1] 961 bar9_23 [3, 3, -2, 3, 2, 2, -1, 2, 1, 1, 1] 961 bar9_24 [3, -2, -2, -2, 3, 1, -2, 1, 1] 961 bar9_25 [-4, 3, -4, 2, 2, 3, 1, -2, 1, 1] 961 bar9_26 [3, -2, 3, -2, 1, -2, 1, 1, 1] 961 bar9_27 [3, -2, 3, -2, -2, 1, -2, 1, 1] 961 bar9_28 [3, 3, -2, -2, 3, 1, -2, 1, 1] 961 bar9_29 [-2, 3, -2, 1, -2, 3, -2, -2, 1] 961 bar9_30 [3, -2, 3, -2, 1, -2, -2, 1, 1] 961 bar9_31 [3, 3, -2, 3, -2, 1, -2, 1, 1] 961 bar9_32 [3, -2, 3, 1, -2, 1, -2, 1, 1] 961 bar9_33 [3, -2, 3, 1, -2, -2, 1, -2, 1] 961 bar9_34 [3, -2, 1, -2, 3, -2, 1, -2, 1] 961 bar9_35 [3, 4, 2, -3, 4, -2, -2, 3, 2, 2, -1, 2, 1, 1] 961 bar9_36 [3, -2, 3, 1, 1, -2, 1, 1, 1] 961 bar9_37 [-4, 3, -2, 3, -4, -1, -2, 3, 1, -2, 1, 1] 961 bar9_38 [2, 3, 3, 2, -1, 2, -3, 2, 2, 1, 1] 961 bar9_39 [4, 3, -2, 3, 4, 1, -2, -3, -1, 2, 1, 1] 961 bar9_40 [3, -2, 3, 1, -2, 3, 1, -2, 1] 961 bar9_41 [4, 3, -2, 3, 4, -2, -2, -3, -1, 2, 1, 1] 961 bar9_42 [3, -2, 3, -1, -1, -2, 1, 1, 1] 961 bar9_43 [-3, 2, -3, 1, 1, 2, 1, 1, 1] 961 bar9_44 [-3, 2, -3, -1, -1, 2, 1, 1, 1] 961 bar9_45 [3, -2, 3, 1, 2, -1, 2, 1, 1] 961 bar9_46 [3, 2, -1, 2, 3, -2, 1, -2, 1] 961 bar9_47 [-3, -2, 1, -2, -3, -2, 1, -2, 1] 961 bar9_48 [-3, 2, -1, 2, -3, 1, 2, -1, 2, 1, 1] 961 bar9_49 [3, 3, 2, -1, 2, -3, 1, 1, 2, 1, 1] 961 #Generated Mon Sep 19 19:30:08 EDT 2005