#Mochizuki 3-cocycle invariants for the Dihedral Quandle R_19 #3-cocycle formula in Z_19 is f(x,y,z)=(x-y)[(2z^19 -j^19)-(2z-y)^19]/19 #Generated Sun Sep 18 10:05:40 EDT 2005 3_1 [1, 1, 1] 361 4_1 [1, -2, 1, -2] 361 5_1 [1, 1, 1, 1, 1] 361 5_2 [1, 1, 1, 2, -1, 2] 361 6_1 [1, 1, 2, -1, -3, 2, -3] 361 6_2 [1, 1, 1, -2, 1, -2] 361 6_3 [1, 1, -2, 1, -2, -2] 361 7_1 [1, 1, 1, 1, 1, 1, 1] 361 7_2 [1, 1, 1, 2, -1, 2, 3, -2, 3] 361 7_3 [1, 1, 1, 1, 1, 2, -1, 2] 361 7_4 [1, 1, 2, -1, 2, 2, 3, -2, 3] 361 7_5 [1, 1, 1, 1, 2, -1, 2, 2] 361 7_6 [1, 1, -2, 1, 3, -2, 3] 361+722*u^7+722*u^9+722*u^6+722*u^17+722*u^4+722*u^5+722*u+722*u^11+722*u^16 7_7 [1, -2, 1, -2, 3, -2, 3] 361 8_1 [1, 1, 2, -1, 2, 3, -2, -4, 3, -4] 361 8_2 [1, 1, 1, 1, 1, -2, 1, -2] 361 8_3 [1, 1, 2, -1, -3, 2, -3, -4, 3, -4] 361 8_4 [1, 1, 1, -2, 1, -2, -3, 2, -3] 361+722*u^5+722*u+722*u^7+722*u^4+722*u^11+722*u^9+722*u^17+722*u^16+722*u^6 8_5 [1, 1, 1, -2, 1, 1, 1, -2] 361 8_6 [1, 1, 1, 1, 2, -1, -3, 2, -3] 361 8_7 [1, 1, 1, 1, -2, 1, -2, -2] 361 8_8 [1, 1, 1, 2, -1, -3, 2, -3, -3] 361 8_9 [1, 1, 1, -2, 1, -2, -2, -2] 361 8_10 [1, 1, 1, -2, 1, 1, -2, -2] 361 8_11 [1, 1, 2, -1, 2, 2, -3, 2, -3] 361 8_12 [1, -2, 1, 3, -2, -4, 3, -4] 361 8_13 [1, 1, -2, 1, -2, -2, -3, 2, -3] 361 8_14 [1, 1, 1, 2, -1, 2, -3, 2, -3] 361 8_15 [1, 1, -2, 1, 3, 2, 2, 2, 3] 361 8_16 [1, 1, -2, 1, 1, -2, 1, -2] 361 8_17 [1, 1, -2, 1, -2, 1, -2, -2] 361 8_18 [1, -2, 1, -2, 1, -2, 1, -2] 361 8_19 [1, 1, 1, 2, 1, 1, 1, 2] 361 8_20 [1, 1, 1, -2, -1, -1, -1, -2] 361 8_21 [1, 1, 1, 2, -1, -1, 2, 2] 361 9_1 [1, 1, 1, 1, 1, 1, 1, 1, 1] 361 9_2 [1, 1, 1, 2, -1, 2, 3, -2, 3, 4, -3, 4] 361 9_3 [1, 1, 1, 1, 1, 1, 1, 2, -1, 2] 361+722*u^3+722*u^12+722*u^8+722*u^10+722*u^18+722*u^13+722*u^14+722*u^2+722*u^15 9_4 [1, 1, 1, 1, 1, 2, -1, 2, 3, -2, 3] 361 9_5 [1, 1, 2, -1, 2, 2, 3, -2, 3, 4, -3, 4] 361 9_6 [1, 1, 1, 1, 1, 1, 2, -1, 2, 2] 361 9_7 [1, 1, 1, 1, 2, -1, 2, 3, -2, 3, 3] 361 9_8 [1, 1, -2, 1, -2, -3, 2, 4, -3, 4] 361 9_9 [1, 1, 1, 1, 1, 2, -1, 2, 2, 2] 361 9_10 [1, 1, 2, -1, 2, 2, 2, 2, 3, -2, 3] 361 9_11 [1, 1, 1, 1, -2, 1, 3, -2, 3] 361 9_12 [1, 1, -2, 1, 3, -2, 3, 4, -3, 4] 361 9_13 [1, 1, 1, 1, 2, -1, 2, 2, 3, -2, 3] 361 9_14 [1, 1, 2, -1, -3, 2, -3, 4, -3, 4] 361 9_15 [1, 1, 1, 2, -1, -3, 2, 4, -3, 4] 361 9_16 [1, 1, 1, 1, 2, 2, -1, 2, 2, 2] 361 9_17 [1, -2, 1, -2, -2, -2, 3, -2, 3] 361 9_18 [1, 1, 1, 2, -1, 2, 2, 2, 3, -2, 3] 361 9_19 [1, -2, 1, -2, -2, -3, 2, 4, -3, 4] 361 9_20 [1, 1, 1, -2, 1, 3, -2, 3, 3] 361 9_21 [1, 1, 2, -1, 2, -3, 2, 4, -3, 4] 361 9_22 [1, -2, 1, -2, 3, -2, -2, -2, 3] 361 9_23 [1, 1, 1, 2, -1, 2, 2, 3, -2, 3, 3] 361 9_24 [1, 1, -2, 1, 3, -2, -2, -2, 3] 361 9_25 [1, 1, -2, 1, 3, 2, 2, -4, 3, -4] 361 9_26 [1, 1, 1, -2, 1, -2, 3, -2, 3] 361 9_27 [1, 1, -2, 1, -2, -2, 3, -2, 3] 361 9_28 [1, 1, -2, 1, 3, -2, -2, 3, 3] 361 9_29 [1, -2, -2, 3, -2, 1, -2, 3, -2] 361 9_30 [1, 1, -2, -2, 1, -2, 3, -2, 3] 361 9_31 [1, 1, -2, 1, -2, 3, -2, 3, 3] 361 9_32 [1, 1, -2, 1, -2, 1, 3, -2, 3] 361 9_33 [1, -2, 1, -2, -2, 1, 3, -2, 3] 361 9_34 [1, -2, 1, -2, 3, -2, 1, -2, 3] 361 9_35 [1, 1, 2, -1, 2, 2, 3, -2, -2, 4, -3, 2, 4, 3] 361 9_36 [1, 1, 1, -2, 1, 1, 3, -2, 3] 361 9_37 [1, 1, -2, 1, 3, -2, -1, -4, 3, -2, 3, -4] 361 9_38 [1, 1, 2, 2, -3, 2, -1, 2, 3, 3, 2] 361+722*u^7+722*u^9+722*u^6+722*u^17+722*u^4+722*u^5+722*u+722*u^11+722*u^16 9_39 [1, 1, 2, -1, -3, -2, 1, 4, 3, -2, 3, 4] 361 9_40 [1, -2, 1, 3, -2, 1, 3, -2, 3] 361 9_41 [1, 1, 2, -1, -3, -2, -2, 4, 3, -2, 3, 4] 361 9_42 [1, 1, 1, -2, -1, -1, 3, -2, 3] 361 9_43 [1, 1, 1, 2, 1, 1, -3, 2, -3] 361 9_44 [1, 1, 1, 2, -1, -1, -3, 2, -3] 361 9_45 [1, 1, 2, -1, 2, 1, 3, -2, 3] 361 9_46 [1, -2, 1, -2, 3, 2, -1, 2, 3] 361 9_47 [1, -2, 1, -2, -3, -2, 1, -2, -3] 361 9_48 [1, 1, 2, -1, 2, 1, -3, 2, -1, 2, -3] 361 9_49 [1, 1, 2, 1, 1, -3, 2, -1, 2, 3, 3] 361 #Generated Sun Sep 18 10:08:27 EDT 2005