A natural way would be to construct the quotient ring of GF(5)[x] modulo (P), then b will be a polynomial in x, and you will have direct access to its coefficients.
On 26 November 2024 16:46:50 GMT-06:00, "G. M.-S." <lists....@gmail.com> wrote: >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 > >-- >You received this message because you are subscribed to the Google Groups >"sage-support" group. >To unsubscribe from this group and stop receiving emails from it, send an >email to sage-support+unsubscr...@googlegroups.com. >To view this discussion visit >https://groups.google.com/d/msgid/sage-support/CANnG189mMQw1Av4j%3DNQGFaX-EG4YXO_nkTknH-1JiuR3ZnFoxA%40mail.gmail.com. -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion visit https://groups.google.com/d/msgid/sage-support/16512F53-7543-490F-8E5B-BA36752D3E58%40gmail.com.
