Is there any way how to avoid expressing $\zeta^{n-1}$ in terms of lower powers of $\zeta$ when working with cyclotomic fields?
K.<zeta> = CyclotomicField(3)
zeta^5
-zeta - 1
I would like to show $\zeta^2$ in this case.
I know that I can do this instead:
K.<zeta> = QQ[]
zeta^5 % (zeta^3 - 1)
zeta^2
But the problem is that eventually, I want to work with a polynomial ring over K and perform a factorization there, and that is not possible in QQ[].<x,y>.
