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Title: Algebraic number theory and an interface to PARI/GP
Author: Bjoern Assmann, Andreas Distler, Bettina Eick
Abstract:
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).
Section: Science/Mathematics
Format: pdf
Files: /usr/share/gap/pkg/Alnuth/doc/manual.pdf
Format: HTML
Index: /usr/share/gap/pkg/Alnuth/htm/chapters.htm
Files: /usr/share/gap/pkg/Alnuth/htm/*.htm
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