Hi,

I have a finite field Fp with p = 11 mod(12) and I am trying to get the third nontrivial root of unity in Fp^2/(x^2+1). So, i need x where x^3=1.

Somehow I came into a source saying that it would be: x = (p-1/2, 3^((p+1)/4)) mod(p). But it seems not to be correct: Any idea?