#Mochizuki 3-cocycle invariants for the Dihedral Quandle R_5 #3-cocycle formula in Z_5 is f(x,y,z)=(x-y)[(2z^5 -j^5)-(2z-y)^5]/5 #Generated Tue Sep 20 08:51:21 EDT 2005 3_1#3_1 [1, 1, 1, 2, 3, 3, 3] 25 4_1#4_1 [1, -2, 1, -2, 3, 4, -5, 4, -5] 225+100*u^3+100*u^2+100*u+100*u^4 5_1#5_1 [1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3] 225+100*u^3+100*u^2+100*u+100*u^4 5_2#5_2 [1, 1, 1, 2, -1, 2, 3, 4, 4, 4, 5, -4, 5] 25 6_1#6_1 [1, 1, 2, -1, -3, 2, -3, 4, 5, 5, 6, -5, -7, 6, -7] 25 6_2#6_2 [1, 1, 1, -2, 1, -2, 3, 4, 4, 4, -5, 4, -5] 25 6_3#6_3 [1, 1, -2, 1, -2, -2, 3, 4, 4, -5, 4, -5, -5] 25 7_1#7_1 [1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3] 25 7_2#7_2 [1, 1, 1, 2, -1, 2, 3, -2, 3, 4, 5, 5, 5, 6, -5, 6, 7, -6, 7] 25 7_3#7_3 [1, 1, 1, 1, 1, 2, -1, 2, 3, 4, 4, 4, 4, 4, 5, -4, 5] 25 7_4#7_4 [1, 1, 2, -1, 2, 2, 3, -2, 3, 4, 5, 5, 6, -5, 6, 6, 7, -6, 7] 225+100*u^3+100*u^2+100*u+100*u^4 7_5#7_5 [1, 1, 1, 1, 2, -1, 2, 2, 3, 4, 4, 4, 4, 5, -4, 5, 5] 25 7_6#7_6 [1, 1, -2, 1, 3, -2, 3, 4, 5, 5, -6, 5, 7, -6, 7] 25 7_7#7_7 [1, -2, 1, -2, 3, -2, 3, 4, 5, -6, 5, -6, 7, -6, 7] 25 8_1#8_1 [1, 1, 2, -1, 2, 3, -2, -4, 3, -4, 5, 6, 6, 7, -6, 7, 8, -7, -9, 8, -9] 25 8_2#8_2 [1, 1, 1, 1, 1, -2, 1, -2, 3, 4, 4, 4, 4, 4, -5, 4, -5] 25 8_3#8_3 [1, 1, 2, -1, -3, 2, -3, -4, 3, -4, 5, 6, 6, 7, -6, -8, 7, -8, -9, 8, -9] 25 8_4#8_4 [1, 1, 1, -2, 1, -2, -3, 2, -3, 4, 5, 5, 5, -6, 5, -6, -7, 6, -7] 25 8_5#8_5 [1, 1, 1, -2, 1, 1, 1, -2, 3, 4, 4, 4, -5, 4, 4, 4, -5] 25 8_6#8_6 [1, 1, 1, 1, 2, -1, -3, 2, -3, 4, 5, 5, 5, 5, 6, -5, -7, 6, -7] 25 8_7#8_7 [1, 1, 1, 1, -2, 1, -2, -2, 3, 4, 4, 4, 4, -5, 4, -5, -5] 25 8_8#8_8 [1, 1, 1, 2, -1, -3, 2, -3, -3, 4, 5, 5, 5, 6, -5, -7, 6, -7, -7] 625 8_9#8_9 [1, 1, 1, -2, 1, -2, -2, -2, 3, 4, 4, 4, -5, 4, -5, -5, -5] 625 8_10#8_10 [1, 1, 1, -2, 1, 1, -2, -2, 3, 4, 4, 4, -5, 4, 4, -5, -5] 25 8_11#8_11 [1, 1, 2, -1, 2, 2, -3, 2, -3, 4, 5, 5, 6, -5, 6, 6, -7, 6, -7] 25 8_12#8_12 [1, -2, 1, 3, -2, -4, 3, -4, 5, 6, -7, 6, 8, -7, -9, 8, -9] 25 8_13#8_13 [1, 1, -2, 1, -2, -2, -3, 2, -3, 4, 5, 5, -6, 5, -6, -6, -7, 6, -7] 25 8_14#8_14 [1, 1, 1, 2, -1, 2, -3, 2, -3, 4, 5, 5, 5, 6, -5, 6, -7, 6, -7] 25 8_15#8_15 [1, 1, -2, 1, 3, 2, 2, 2, 3, 4, 5, 5, -6, 5, 7, 6, 6, 6, 7] 25 8_16#8_16 [1, 1, -2, 1, 1, -2, 1, -2, 3, 4, 4, -5, 4, 4, -5, 4, -5] 225+100*u^2+100*u^3+100*u^4+100*u 8_17#8_17 [1, 1, -2, 1, -2, 1, -2, -2, 3, 4, 4, -5, 4, -5, 4, -5, -5] 25 8_18#8_18 [1, -2, 1, -2, 1, -2, 1, -2, 3, 4, -5, 4, -5, 4, -5, 4, -5] 225+100*u+100*u^4+100*u^2+100*u^3 8_19#8_19 [1, 1, 1, 2, 1, 1, 1, 2, 3, 4, 4, 4, 5, 4, 4, 4, 5] 25 8_20#8_20 [1, 1, 1, -2, -1, -1, -1, -2, 3, 4, 4, 4, -5, -4, -4, -4, -5] 25 8_21#8_21 [1, 1, 1, 2, -1, -1, 2, 2, 3, 4, 4, 4, 5, -4, -4, 5, 5] 225+100*u^4+100*u+100*u^3+100*u^2 9_1#9_1 [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3] 25 9_2#9_2 [1, 1, 1, 2, -1, 2, 3, -2, 3, 4, -3, 4, 5, 6, 6, 6, 7, -6, 7, 8, -7, 8, 9, -8, 9] 225+100*u+100*u^4+100*u^2+100*u^3 9_3#9_3 [1, 1, 1, 1, 1, 1, 1, 2, -1, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, -4, 5] 25 9_4#9_4 [1, 1, 1, 1, 1, 2, -1, 2, 3, -2, 3, 4, 5, 5, 5, 5, 5, 6, -5, 6, 7, -6, 7] 25 9_5#9_5 [1, 1, 2, -1, 2, 2, 3, -2, 3, 4, -3, 4, 5, 6, 6, 7, -6, 7, 7, 8, -7, 8, 9, -8, 9] 25 9_6#9_6 [1, 1, 1, 1, 1, 1, 2, -1, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, -4, 5, 5] 25 9_7#9_7 [1, 1, 1, 1, 2, -1, 2, 3, -2, 3, 3, 4, 5, 5, 5, 5, 6, -5, 6, 7, -6, 7, 7] 25 9_8#9_8 [1, 1, -2, 1, -2, -3, 2, 4, -3, 4, 5, 6, 6, -7, 6, -7, -8, 7, 9, -8, 9] 25 9_9#9_9 [1, 1, 1, 1, 1, 2, -1, 2, 2, 2, 3, 4, 4, 4, 4, 4, 5, -4, 5, 5, 5] 25 9_10#9_10 [1, 1, 2, -1, 2, 2, 2, 2, 3, -2, 3, 4, 5, 5, 6, -5, 6, 6, 6, 6, 7, -6, 7] 25 9_11#9_11 [1, 1, 1, 1, -2, 1, 3, -2, 3, 4, 5, 5, 5, 5, -6, 5, 7, -6, 7] 25 9_12#9_12 [1, 1, -2, 1, 3, -2, 3, 4, -3, 4, 5, 6, 6, -7, 6, 8, -7, 8, 9, -8, 9] 225+100*u+100*u^4+100*u^2+100*u^3 9_13#9_13 [1, 1, 1, 1, 2, -1, 2, 2, 3, -2, 3, 4, 5, 5, 5, 5, 6, -5, 6, 6, 7, -6, 7] 25 9_14#9_14 [1, 1, 2, -1, -3, 2, -3, 4, -3, 4, 5, 6, 6, 7, -6, -8, 7, -8, 9, -8, 9] 25 9_15#9_15 [1, 1, 1, 2, -1, -3, 2, 4, -3, 4, 5, 6, 6, 6, 7, -6, -8, 7, 9, -8, 9] 25 9_16#9_16 [1, 1, 1, 1, 2, 2, -1, 2, 2, 2, 3, 4, 4, 4, 4, 5, 5, -4, 5, 5, 5] 25 9_17#9_17 [1, -2, 1, -2, -2, -2, 3, -2, 3, 4, 5, -6, 5, -6, -6, -6, 7, -6, 7] 25 9_18#9_18 [1, 1, 1, 2, -1, 2, 2, 2, 3, -2, 3, 4, 5, 5, 5, 6, -5, 6, 6, 6, 7, -6, 7] 25 9_19#9_19 [1, -2, 1, -2, -2, -3, 2, 4, -3, 4, 5, 6, -7, 6, -7, -7, -8, 7, 9, -8, 9] 25 9_20#9_20 [1, 1, 1, -2, 1, 3, -2, 3, 3, 4, 5, 5, 5, -6, 5, 7, -6, 7, 7] 25 9_21#9_21 [1, 1, 2, -1, 2, -3, 2, 4, -3, 4, 5, 6, 6, 7, -6, 7, -8, 7, 9, -8, 9] 25 9_22#9_22 [1, -2, 1, -2, 3, -2, -2, -2, 3, 4, 5, -6, 5, -6, 7, -6, -6, -6, 7] 25 9_23#9_23 [1, 1, 1, 2, -1, 2, 2, 3, -2, 3, 3, 4, 5, 5, 5, 6, -5, 6, 6, 7, -6, 7, 7] 225+100*u+100*u^4+100*u^2+100*u^3 9_24#9_24 [1, 1, -2, 1, 3, -2, -2, -2, 3, 4, 5, 5, -6, 5, 7, -6, -6, -6, 7] 225+100*u+100*u^4+100*u^2+100*u^3 9_25#9_25 [1, 1, -2, 1, 3, 2, 2, -4, 3, -4, 5, 6, 6, -7, 6, 8, 7, 7, -9, 8, -9] 25 9_26#9_26 [1, 1, 1, -2, 1, -2, 3, -2, 3, 4, 5, 5, 5, -6, 5, -6, 7, -6, 7] 25 9_27#9_27 [1, 1, -2, 1, -2, -2, 3, -2, 3, 4, 5, 5, -6, 5, -6, -6, 7, -6, 7] 25 9_28#9_28 [1, 1, -2, 1, 3, -2, -2, 3, 3, 4, 5, 5, -6, 5, 7, -6, -6, 7, 7] 25 9_29#9_29 [1, -2, -2, 3, -2, 1, -2, 3, -2, 4, 5, -6, -6, 7, -6, 5, -6, 7, -6] 25 9_30#9_30 [1, 1, -2, -2, 1, -2, 3, -2, 3, 4, 5, 5, -6, -6, 5, -6, 7, -6, 7] 25 9_31#9_31 [1, 1, -2, 1, -2, 3, -2, 3, 3, 4, 5, 5, -6, 5, -6, 7, -6, 7, 7] 225+100*u+100*u^4+100*u^2+100*u^3 9_32#9_32 [1, 1, -2, 1, -2, 1, 3, -2, 3, 4, 5, 5, -6, 5, -6, 5, 7, -6, 7] 25 9_33#9_33 [1, -2, 1, -2, -2, 1, 3, -2, 3, 4, 5, -6, 5, -6, -6, 5, 7, -6, 7] 25 9_34#9_34 [1, -2, 1, -2, 3, -2, 1, -2, 3, 4, 5, -6, 5, -6, 7, -6, 5, -6, 7] 25 9_35#9_35 [1, 1, 2, -1, 2, 2, 3, -2, -2, 4, -3, 2, 4, 3, 5, 6, 6, 7, -6, 7, 7, 8, -7, -7, 9, -8, 7, 9, 8] 25 9_36#9_36 [1, 1, 1, -2, 1, 1, 3, -2, 3, 4, 5, 5, 5, -6, 5, 5, 7, -6, 7] 25 9_37#9_37 [1, 1, -2, 1, 3, -2, -1, -4, 3, -2, 3, -4, 5, 6, 6, -7, 6, 8, -7, -6, -9, 8, -7, 8, -9] 225+100*u^3+100*u^2+100*u+100*u^4 9_38#9_38 [1, 1, 2, 2, -3, 2, -1, 2, 3, 3, 2, 4, 5, 5, 6, 6, -7, 6, -5, 6, 7, 7, 6] 25 9_39#9_39 [1, 1, 2, -1, -3, -2, 1, 4, 3, -2, 3, 4, 5, 6, 6, 7, -6, -8, -7, 6, 9, 8, -7, 8, 9] 225+100*u^3+100*u^2+100*u+100*u^4 9_40#9_40 [1, -2, 1, 3, -2, 1, 3, -2, 3, 4, 5, -6, 5, 7, -6, 5, 7, -6, 7] 3625+3000*u^2+3000*u^3+3000*u+3000*u^4 9_41#9_41 [1, 1, 2, -1, -3, -2, -2, 4, 3, -2, 3, 4, 5, 6, 6, 7, -6, -8, -7, -7, 9, 8, -7, 8, 9] 25 9_42#9_42 [1, 1, 1, -2, -1, -1, 3, -2, 3, 4, 5, 5, 5, -6, -5, -5, 7, -6, 7] 25 9_43#9_43 [1, 1, 1, 2, 1, 1, -3, 2, -3, 4, 5, 5, 5, 6, 5, 5, -7, 6, -7] 25 9_44#9_44 [1, 1, 1, 2, -1, -1, -3, 2, -3, 4, 5, 5, 5, 6, -5, -5, -7, 6, -7] 25 9_45#9_45 [1, 1, 2, -1, 2, 1, 3, -2, 3, 4, 5, 5, 6, -5, 6, 5, 7, -6, 7] 25 9_46#9_46 [1, -2, 1, -2, 3, 2, -1, 2, 3, 4, 5, -6, 5, -6, 7, 6, -5, 6, 7] 25 9_47#9_47 [1, -2, 1, -2, -3, -2, 1, -2, -3, 4, 5, -6, 5, -6, -7, -6, 5, -6, -7] 25 9_48#9_48 [1, 1, 2, -1, 2, 1, -3, 2, -1, 2, -3, 4, 5, 5, 6, -5, 6, 5, -7, 6, -5, 6, -7] 25 9_49#9_49 [1, 1, 2, 1, 1, -3, 2, -1, 2, 3, 3, 4, 5, 5, 6, 5, 5, -7, 6, -5, 6, 7, 7] 3625+3000*u+3000*u^4+3000*u^3+3000*u^2 #Generated Tue Sep 20 09:25:25 EDT 2005