Mochizuki 3-cocycle invariants for Alexander Quandles 3-cocycle formula f(x,y,z)=(x-y)^2^0 *(y-z)^2^1 *z^0 Alexander Quandle Z_2[t^1,t^-1]/(t^3+t^2+1) 7_1 [1, 1, 1, 1, 1, 1, 1] Gcd(t^3+t^2+1,t^6-t^5+t^4-t^3+t^2-t+1) mod 2 =t^3+t^2+1 512 8_2 [1, 1, 1, 1, 1, -2, 1, -2] Gcd(t^3+t^2+1,t^6-3*t^5+3*t^4-3*t^3+3*t^2-3*t+1) mod 2 =t^3+t^2+1 512 8_7 [1, 1, 1, 1, -2, 1, -2, -2] Gcd(t^3+t^2+1,t^6-3*t^5+5*t^4-5*t^3+5*t^2-3*t+1) mod 2 =t^3+t^2+1 512 8_9 [1, 1, 1, -2, 1, -2, -2, -2] Gcd(t^3+t^2+1,t^6-3*t^5+5*t^4-7*t^3+5*t^2-3*t+1) mod 2 =t^3+t^2+1 512 9_11 [1, 1, 1, 1, -2, 1, 3, -2, 3] Gcd(t^3+t^2+1,t^6-5*t^5+7*t^4-7*t^3+7*t^2-5*t+1) mod 2 =t^3+t^2+1 512 9_17 [1, -2, 1, -2, -2, -2, 3, -2, 3] Gcd(t^3+t^2+1,t^6-5*t^5+9*t^4-9*t^3+9*t^2-5*t+1) mod 2 =t^3+t^2+1 512 9_20 [1, 1, 1, -2, 1, 3, -2, 3, 3] Gcd(t^3+t^2+1,t^6-5*t^5+9*t^4-11*t^3+9*t^2-5*t+1) mod 2 =t^3+t^2+1 512 9_26 [1, 1, 1, -2, 1, -2, 3, -2, 3] Gcd(t^3+t^2+1,t^6-5*t^5+11*t^4-13*t^3+11*t^2-5*t+1) mod 2 =t^3+t^2+1 512 9_27 [1, 1, -2, 1, -2, -2, 3, -2, 3] Gcd(t^3+t^2+1,t^6-5*t^5+11*t^4-15*t^3+11*t^2-5*t+1) mod 2 =t^3+t^2+1 512 9_31 [1, 1, -2, 1, -2, 3, -2, 3, 3] Gcd(t^3+t^2+1,t^6-5*t^5+13*t^4-17*t^3+13*t^2-5*t+1) mod 2 =t^3+t^2+1 512