Alnuth

GAP package Alnuth

Algebraic number theory and an interface to PARI/GP

The Alnuth package provides various methods to compute with number fields which are given by a defining polynomial or by generators. Some of the methods provided in this package are written in GAP code. The other part of the methods is imported from the computer algebra system PARI/GP. Hence this package contains some GAP functions and an interface to some functions in the computer algebra system PARI/GP. The main methods included in Alnuth are: creating a number field, computing its maximal order (using PARI/GP), computing its unit group (using PARI/GP) and a presentation of this unit group, computing the elements of a given norm of the number field (using PARI/GP), determining a presentation for a finitely generated multiplicative subgroup (using PARI/GP), and factoring polynomials defined over number fields (using PARI/GP).

[WWW homepage]       [Source code repository]       [Issue tracker]

Authors

Björn Assmann, Andreas Distler, Bettina Eick

Maintainer

The GAP Team

Version with GAP 4.12.2

3.2.1    (Released 05/04/2022)

License

GPL-2.0-or-later

Status

accepted    (communicated by Charles Wright (Eugene), accepted 01/01/2004)

Dependencies

GAP version: >= 4.8
Needed other packages: polycyclic (>=1.1)
External needs: needs the PARI/GP computer algebra system Version 2.5 or higher

Documentation

Alnuth [HTML]     [PDF]

Download

alnuth-3.2.1   [.tar.gz]