>> If it is "doable", then indeed it would solve my problem and (to me)
>> does not seem to induce any tricky behaviour.
>
> In this case:
>
> sage: [x.polynomial() for x in K1]
> [0, a, a^2, a + 1, a^2 + a, a^2 + a + 1, a^2 + 1, 1]
> sage: [K2(x.polynomial()) for x in K1]
> [0, b, b^2, b + 1, b^2 + b, b^2 + b + 1, b^2 + 1, 1]

Sorry, when I said "solve my problem" I meant "the unclear error
message" (as I was not able to guess from it that I only had to change
the variable's name).

My code has been made to work by picking the same variable name in
both cases, and the result is in needs_review.

http://trac.sagemath.org/ticket/19221

Nathann

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