# Alnuth : a GAP 4 package - Index

A C D E F G I L M N P R S U

## A

Acknowledgements 1.1
Adjust the path of the executable for GP 4.3
An example application 3.0

## C

Creation of number fields 2.1

## D

DefiningPolynomial 2.2.1
DegreeOverPrimeField 2.2.3

## E

EquationOrderBasis 2.2.4
ExampleMatField 2.6.1
Examples 2.6
ExponentsOfUnits 2.2.7

## F

Factorisation of polynomials over a number field 2.5
FactorsPolynomialAlgExt 2.5.1
FactorsPolynomialPari 2.5.2
FieldByMatrices 2.1.1
FieldByMatricesNC 2.1.1
FieldByMatrixBasis 2.1.2
FieldByMatrixBasisNC 2.1.2
FieldByPolynomial 2.1.3
FieldByPolynomialNC 2.1.3

## G

Getting PARI/GP 4.2

## I

Installation 4.0
Installing Alnuth 4.1
IntersectionOfUnitSubgroups 2.4.2
Introduction 1.0
IsCyclotomicField 2.2.8
IsIntegerOfNumberField 2.2.4
IsomorphismPcpGroup 2.3.1
IsPrimitiveElementOfNumberField 2.2.2
IsUnitOfNumberField 2.2.6

## L

License 1.2
Loading and testing the package 4.4

## M

MaximalOrderBasis 2.2.4
Methods for number fields 2.0 2.2
Methods to compute with subgroups of the unit group 2.4

## N

NormCosetsOfNumberField 2.2.9
Number fields defined by a polynomial 3.2
Number fields defined by matrices 3.1

## P

PariVersion 4.3.1
PcpPresentationOfMultiplicativeSubgroup 2.3.1
Presentations of multiplicative subgroups 2.3
PrimitiveElement 2.2.1

## R

RelationLattice 2.3.2
RelationLatticeOfUnits 2.4.1
RestoreAlnuthExternalExecutable 4.3.4

## S

SetAlnuthExternalExecutable 4.3.2
SetAlnuthExternalExecutablePermanently 4.3.3

## U

UnitGroup 2.2.5

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