>
> GF(4) is not a subfield of GF(8). 
>

Oh. Right. Actually, the problem with my code happened when both finite 
fields were equal, and I wrote this message without thinking.

    sage: K1 = GF(8,'a')
    sage: K2 = GF(8,'b')
    sage: K2(K1(1))
    TypeError: unable to coerce from a finite field other than the prime 
subfield

Perhaps it is then easier to solve.

Nathann
 

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