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Description
The goal of this ticket is to make number fields work when the defining polynomial is not integral or not monic.
If the user specifies a non-integral or non-monic polynomial to define an absolute or relative number field, we define the corresponding PARI number field by a monic integral polynomial obtained from the PARI functions polredbest
and rnfpolredbest
, respectively.
The new methods NumberField_generic._pari_absolute_structure()
and NumberField_relative._pari_relative_structure()
return the data needed to convert elements between the Sage NumberField
and the PARI nf
structure.
Depends on #18740
CC: @katestange @sagetrac-Bouillaguet
Component: number fields
Author: Peter Bruin
Branch/Commit: 8b86c52
Reviewer: Kartik Venkatram
Issue created by migration from https://trac.sagemath.org/ticket/252