Mochizuki 2-cocycle invariants for Alexander Quandles 2-cocycle formula f(x,y)=(x-y)^2^3 *y^1 Alexander Quandle Z_2[t^1,t^-1]/(t^6+t^3+1) 8_16 [1, 1, -2, 1, 1, -2, 1, -2] Gcd(t^6+t^3+1,t^6-4*t^5+8*t^4-9*t^3+8*t^2-4*t+1) mod 2 =t^6+t^3+1 64+576*u^(t^4+t^3+1)+576*u^(t^4+t^3+t)+576*u^(t^5+t^4+t^3+1)+576*u^(t^5)+576*u^(t^5+t+1)+576*u^(t+1)+576*u^(t^5+t^4+t^3+t) 8_17 [1, 1, -2, 1, -2, 1, -2, -2] Gcd(t^6+t^3+1,t^6-4*t^5+8*t^4-11*t^3+8*t^2-4*t+1) mod 2 =t^6+t^3+1 64+576*u^(t^4+t^3+1)+576*u^(t^4+t^3+t)+576*u^(t^5+t^4+t^3+1)+576*u^(t^5)+576*u^(t^5+t+1)+576*u^(t+1)+576*u^(t^5+t^4+t^3+t) 9_1 [1, 1, 1, 1, 1, 1, 1, 1, 1] Gcd(t^6+t^3+1,t^8-t^7+t^6-t^5+t^4-t^3+t^2-t+1) mod 2 =t^6+t^3+1 64+576*u^(t^4+t^3+1)+576*u^(t^4+t^3+t)+576*u^(t^5+t^4+t^3+1)+576*u^(t^5)+576*u^(t^5+t+1)+576*u^(t+1)+576*u^(t^5+t^4+t^3+t)