Sorry, I forgot to attach the polynomials.  (Exercise for the reader:
recompute them with a few lines of Sage using the hint in my original post).

On 12 June 2018 at 17:26, John Cremona <[email protected]> wrote:

> The error in the subject line comes from running the attached code which
> defines two monic integral polynomials in QQ[x], both irreducible and
> defining the same number field of degree 44, and trying to find a root of
> the second in the number field defined by the first:
>
> Trying K.is_isomorphic(L) works (and returns True. so  these polynomials
> really do define the same field.  (They are the characteristic polynomials
> of Hecke operatrs T2 and T3 acting on an irreducible space of modular forms
> for Gamma_1(25)).  That is strange since I would have thought that testing
> this involves finding roots of one modulo the other.
>
>
>
> K.embeddings(L) also fails with the same error.  (No surprise)
>
> John
>

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Attachment: pols.sage
Description: Binary data

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