# Explicit finite field extensions

Hi I would like to know how I may explicitly create a finite field as an extension of another field which is not the prime field. For example if I have GF(25) as my base field and I would like to create GF(5^6) using a polynomial with coefficients in GF(25) etc. The problem is that if I just create the 2 fields separately, I cannot coerce elements from the big field into the little one unless it is a prime field, and it seems that the galois_group() stuff only works for number field extensions. Sorry if I've missed the obvious. thanks a lot