Re: How to declare a finite field element resulting from a Prime Power in Pari/ɢᴘ ?

John Cremona <[email protected]>
Newsgroups gmane.comp.mathematics.pari.user
Message-ID <CAD0p0K7r639Zv4a1Yj0W2aXu1G5Qe2SXdVgVh-LTXu7Ae5HjTg@mail.gmail.com>
On Fri, 4 Jul 2025, 14:37 Bill Allombert, <[email protected]>
wrote:

> On Fri, Jul 04, 2025 at 03:24:23PM +0200, Laël Cellier wrote:
> > Thank you. And to which value I should set P to ?
>
> I told you already:
>
>   You need to find the minimal polynomial P of z12 in SageMath and the
> characteristic p.
>
> If you do not know how to do that in SageMath, ask a SageMath forum.
>


z12.minpoly()

should do it.

John


> You can also do
>
> z12 = ffgen([p,12]);
>
> and PARI will pick one for you, but it might not be the same as SageMath.
>
> Cheers,
> Bill
>
>
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