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GAP package Alnuth

Algebraic number theory and an interface to PARI/GP

Authors

Björn Assmann, Andreas Distler, Bettina Eick

Maintainers

Andreas Distler, Bettina Eick

Short Description

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).

Version

Current version shipped with GAP: 3.1.2   (Released 28/01/2020)

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

Online documentation

Alnuth: [ HTML] version   [ PDF] version  

Download

[README]    alnuth-3.1.2 [.tar.gz  ]   [.tar.bz2  ]   [-win.zip  ]   [.zip  ]  

Source code repository

git : https://github.com/gap-packages/alnuth

Issue tracker

https://github.com/gap-packages/alnuth/issues