ALNUTH swMATH ID: 14846 Software Authors: Bjoern Assmann, Andreas Distler, Bettina Eick Description: ALNUTH – ALgebraic NUmber THeory and an interface to the KANT system. A refereed GAP 4 package. 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). Homepage: http://www.gap-system.org/Packages/alnuth.html Source Code: https://github.com/gap-packages/alnuth Dependencies: GAP Related Software: KANT/KASH; AClib; Polycyclic; Polenta; GAP Cited in: 1 Document Cited by 2 Authors 1 Assmann, Björn 1 Eick, Bettina Cited in 1 Serial 1 Journal of Symbolic Computation Cited in 2 Fields 1 Group theory and generalizations (20-XX) 1 Computer science (68-XX) Citations by Year