[sage-support] Conversion from finite field to integer polynomial

[G. M.-S.]

Already asked on
https://ask.sagemath.org/question/80389/conversion-from-finite-field-to-integer-polynomial

I am looking for a function myf doing the following:

    sage: var('x')
    x
    sage: P=x^3-2*x^2-x-2
    sage: F125.<a>=GF(5^3,name='a',modulus=P)
    sage: b=a^37;b
    4*a^2 + 3*a + 1
    sage: c=myf(b,y)
    1 + 3*y + 4*y^2
    sage: c.parent()
    Power Series Ring in y over Integer Ring

or better still (symmetric representation):

    sage: c=myf(b,y)
    1 - 2*y - y^2
    sage: c.parent()
    Power Series Ring in y over Integer Ring

I can manage with str, replace, preparse, eval but there is surely a
natural way.

TIA,

Guillermo

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