#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 Sun Sep 18 11:30:40 EDT 2005 3_1 [1, 1, 1] 961 4_1 [1, -2, 1, -2] 961 5_1 [1, 1, 1, 1, 1] 961 5_2 [1, 1, 1, 2, -1, 2] 961 6_1 [1, 1, 2, -1, -3, 2, -3] 961 6_2 [1, 1, 1, -2, 1, -2] 961 6_3 [1, 1, -2, 1, -2, -2] 961 7_1 [1, 1, 1, 1, 1, 1, 1] 961 7_2 [1, 1, 1, 2, -1, 2, 3, -2, 3] 961 7_3 [1, 1, 1, 1, 1, 2, -1, 2] 961 7_4 [1, 1, 2, -1, 2, 2, 3, -2, 3] 961 7_5 [1, 1, 1, 1, 2, -1, 2, 2] 961 7_6 [1, 1, -2, 1, 3, -2, 3] 961 7_7 [1, -2, 1, -2, 3, -2, 3] 961 8_1 [1, 1, 2, -1, 2, 3, -2, -4, 3, -4] 961 8_2 [1, 1, 1, 1, 1, -2, 1, -2] 961 8_3 [1, 1, 2, -1, -3, 2, -3, -4, 3, -4] 961 8_4 [1, 1, 1, -2, 1, -2, -3, 2, -3] 961 8_5 [1, 1, 1, -2, 1, 1, 1, -2] 961 8_6 [1, 1, 1, 1, 2, -1, -3, 2, -3] 961 8_7 [1, 1, 1, 1, -2, 1, -2, -2] 961 8_8 [1, 1, 1, 2, -1, -3, 2, -3, -3] 961 8_9 [1, 1, 1, -2, 1, -2, -2, -2] 961 8_10 [1, 1, 1, -2, 1, 1, -2, -2] 961 8_11 [1, 1, 2, -1, 2, 2, -3, 2, -3] 961 8_12 [1, -2, 1, 3, -2, -4, 3, -4] 961 8_13 [1, 1, -2, 1, -2, -2, -3, 2, -3] 961 8_14 [1, 1, 1, 2, -1, 2, -3, 2, -3] 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 8_15 [1, 1, -2, 1, 3, 2, 2, 2, 3] 961 8_16 [1, 1, -2, 1, 1, -2, 1, -2] 961 8_17 [1, 1, -2, 1, -2, 1, -2, -2] 961 8_18 [1, -2, 1, -2, 1, -2, 1, -2] 961 8_19 [1, 1, 1, 2, 1, 1, 1, 2] 961 8_20 [1, 1, 1, -2, -1, -1, -1, -2] 961 8_21 [1, 1, 1, 2, -1, -1, 2, 2] 961 9_1 [1, 1, 1, 1, 1, 1, 1, 1, 1] 961 9_2 [1, 1, 1, 2, -1, 2, 3, -2, 3, 4, -3, 4] 961 9_3 [1, 1, 1, 1, 1, 1, 1, 2, -1, 2] 961 9_4 [1, 1, 1, 1, 1, 2, -1, 2, 3, -2, 3] 961 9_5 [1, 1, 2, -1, 2, 2, 3, -2, 3, 4, -3, 4] 961 9_6 [1, 1, 1, 1, 1, 1, 2, -1, 2, 2] 961 9_7 [1, 1, 1, 1, 2, -1, 2, 3, -2, 3, 3] 961 9_8 [1, 1, -2, 1, -2, -3, 2, 4, -3, 4] 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 9_9 [1, 1, 1, 1, 1, 2, -1, 2, 2, 2] 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 9_10 [1, 1, 2, -1, 2, 2, 2, 2, 3, -2, 3] 961 9_11 [1, 1, 1, 1, -2, 1, 3, -2, 3] 961 9_12 [1, 1, -2, 1, 3, -2, 3, 4, -3, 4] 961 9_13 [1, 1, 1, 1, 2, -1, 2, 2, 3, -2, 3] 961 9_14 [1, 1, 2, -1, -3, 2, -3, 4, -3, 4] 961 9_15 [1, 1, 1, 2, -1, -3, 2, 4, -3, 4] 961 9_16 [1, 1, 1, 1, 2, 2, -1, 2, 2, 2] 961 9_17 [1, -2, 1, -2, -2, -2, 3, -2, 3] 961 9_18 [1, 1, 1, 2, -1, 2, 2, 2, 3, -2, 3] 961 9_19 [1, -2, 1, -2, -2, -3, 2, 4, -3, 4] 961 9_20 [1, 1, 1, -2, 1, 3, -2, 3, 3] 961 9_21 [1, 1, 2, -1, 2, -3, 2, 4, -3, 4] 961 9_22 [1, -2, 1, -2, 3, -2, -2, -2, 3] 961 9_23 [1, 1, 1, 2, -1, 2, 2, 3, -2, 3, 3] 961 9_24 [1, 1, -2, 1, 3, -2, -2, -2, 3] 961 9_25 [1, 1, -2, 1, 3, 2, 2, -4, 3, -4] 961 9_26 [1, 1, 1, -2, 1, -2, 3, -2, 3] 961 9_27 [1, 1, -2, 1, -2, -2, 3, -2, 3] 961 9_28 [1, 1, -2, 1, 3, -2, -2, 3, 3] 961 9_29 [1, -2, -2, 3, -2, 1, -2, 3, -2] 961 9_30 [1, 1, -2, -2, 1, -2, 3, -2, 3] 961 9_31 [1, 1, -2, 1, -2, 3, -2, 3, 3] 961 9_32 [1, 1, -2, 1, -2, 1, 3, -2, 3] 961 9_33 [1, -2, 1, -2, -2, 1, 3, -2, 3] 961 9_34 [1, -2, 1, -2, 3, -2, 1, -2, 3] 961 9_35 [1, 1, 2, -1, 2, 2, 3, -2, -2, 4, -3, 2, 4, 3] 961 9_36 [1, 1, 1, -2, 1, 1, 3, -2, 3] 961 9_37 [1, 1, -2, 1, 3, -2, -1, -4, 3, -2, 3, -4] 961 9_38 [1, 1, 2, 2, -3, 2, -1, 2, 3, 3, 2] 961 9_39 [1, 1, 2, -1, -3, -2, 1, 4, 3, -2, 3, 4] 961 9_40 [1, -2, 1, 3, -2, 1, 3, -2, 3] 961 9_41 [1, 1, 2, -1, -3, -2, -2, 4, 3, -2, 3, 4] 961 9_42 [1, 1, 1, -2, -1, -1, 3, -2, 3] 961 9_43 [1, 1, 1, 2, 1, 1, -3, 2, -3] 961 9_44 [1, 1, 1, 2, -1, -1, -3, 2, -3] 961 9_45 [1, 1, 2, -1, 2, 1, 3, -2, 3] 961 9_46 [1, -2, 1, -2, 3, 2, -1, 2, 3] 961 9_47 [1, -2, 1, -2, -3, -2, 1, -2, -3] 961 9_48 [1, 1, 2, -1, 2, 1, -3, 2, -1, 2, -3] 961 9_49 [1, 1, 2, 1, 1, -3, 2, -1, 2, 3, 3] 961 #Generated Sun Sep 18 11:55:12 EDT 2005