Add a finite field implementation using FLINT's fq and fq_nmod modules

[jpflori]

Implement finite fields using flint fq and fq_nmod types.

Depends on #19646

CC: @defeo @pjbruin @sagetrac-erousseau

Component: finite rings

Keywords: flint finite field

Author: Jean-Pierre Flori

Branch/Commit: u/jpflori/flint_fq_nmod @ 9587ba6

Issue created by migration from https://trac.sagemath.org/ticket/16664

[jpflori]

comment:1

I've set up something at u/jpflori/flint_fq.
Completely incomplete though.

[jpflori]

Commit: 1ba3dbf

[jpflori]

Branch: u/jpflori/flint_fq

[jpflori]

New commits:

1ba3dbf

First draty implementation of finite fields using FLINT's fq module.

[sagetrac-git]

Changed commit from 1ba3dbf to fa877df

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

95106ba	Use fq_inv function.
b83f88c	Merge remote-tracking branch 'trac/develop' into flint_fq
fa877df	The fq_div function does not exist in FLINT 2.4 branch.

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

ae3034c

Make sure that the fq_ctx_t object is initialized when attempting to clean it.

[sagetrac-git]

Changed commit from fa877df to ae3034c

[sagetrac-git]

Changed commit from ae3034c to c7990f8

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

c7990f8

Implement correct polynomial method for FiniteFieldElement_flint_fq.