<
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title>Alnuth : a GAP 4 package - Index </
title></
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<
h1><
font face=
"Gill Sans,Helvetica,Arial">Alnuth</
font> : a <
font face=
"Gill Sans,Helvetica,Arial">GAP</
font> 4 package - Index </
h1>
<p>
<a href=
"#idxA">A</A>
<a href=
"#idxC">C</A>
<a href=
"#idxD">D</A>
<a href=
"#idxE">E</A>
<a href=
"#idxF">F</A>
<a href=
"#idxG">G</A>
<a href=
"#idxI">I</A>
<a href=
"#idxL">L</A>
<a href=
"#idxM">M</A>
<a href=
"#idxN">N</A>
<a href=
"#idxP">P</A>
<a href=
"#idxR">R</A>
<a href=
"#idxS">S</A>
<a href=
"#idxU">U</A>
<H2><A NAME=
"idxA">A</A></H2>
<
dl>
<
dt>Acknowledgements <a href=
"CHAP001.htm#SECT001">1.1</a>
<
dt>Adjust the path of the executable for GP <a href=
"CHAP004.htm#SECT003">4.3</a>
<
dt>An example application <a href=
"CHAP003.htm">3.0</a>
</
dl><p>
<H2><A NAME=
"idxC">C</A></H2>
<
dl>
<
dt>Creation of number fields <a href=
"CHAP002.htm#SECT001">2.1</a>
</
dl><p>
<H2><A NAME=
"idxD">D</A></H2>
<
dl>
<
dt>DefiningPolynomial <a href=
"CHAP002.htm#SSEC002.1">2.2.1</a>
<
dt>DegreeOverPrimeField <a href=
"CHAP002.htm#SSEC002.3">2.2.3</a>
</
dl><p>
<H2><A NAME=
"idxE">E</A></H2>
<
dl>
<
dt>EquationOrderBasis <a href=
"CHAP002.htm#SSEC002.4">2.2.4</a>
<
dt>ExampleMatField <a href=
"CHAP002.htm#SSEC006.1">2.6.1</a>
<
dt>Examples <a href=
"CHAP002.htm#SECT006">2.6</a>
<
dt>ExponentsOfUnits <a href=
"CHAP002.htm#SSEC002.7">2.2.7</a>
</
dl><p>
<H2><A NAME=
"idxF">F</A></H2>
<
dl>
<
dt>Factorisation of polynomials over a number field <a href=
"CHAP002.htm#SECT005">2.5</a>
<
dt>FactorsPolynomialAlgExt <a href=
"CHAP002.htm#SSEC005.1">2.5.1</a>
<
dt>FactorsPolynomialPari <a href=
"CHAP002.htm#SSEC005.2">2.5.2</a>
<
dt>FieldByMatrices <a href=
"CHAP002.htm#SSEC001.1">2.1.1</a>
<
dt>FieldByMatricesNC <a href=
"CHAP002.htm#SSEC001.1">2.1.1</a>
<
dt>FieldByMatrixBasis <a href=
"CHAP002.htm#SSEC001.2">2.1.2</a>
<
dt>FieldByMatrixBasisNC <a href=
"CHAP002.htm#SSEC001.2">2.1.2</a>
<
dt>FieldByPolynomial <a href=
"CHAP002.htm#SSEC001.3">2.1.3</a>
<
dt>FieldByPolynomialNC <a href=
"CHAP002.htm#SSEC001.3">2.1.3</a>
</
dl><p>
<H2><A NAME=
"idxG">G</A></H2>
<
dl>
<
dt>Getting PARI/GP <a href=
"CHAP004.htm#SECT002">4.2</a>
</
dl><p>
<H2><A NAME=
"idxI">I</A></H2>
<
dl>
<
dt>Installation <a href=
"CHAP004.htm">4.0</a>
<
dt>Installing Alnuth <a href=
"CHAP004.htm#SECT001">4.1</a>
<
dt>IntersectionOfUnitSubgroups <a href=
"CHAP002.htm#SSEC004.2">2.4.2</a>
<
dt>Introduction <a href=
"CHAP001.htm">1.0</a>
<
dt>IsCyclotomicField <a href=
"CHAP002.htm#SSEC002.8">2.2.8</a>
<
dt>IsIntegerOfNumberField <a href=
"CHAP002.htm#SSEC002.4">2.2.4</a>
<
dt>IsomorphismPcpGroup <a href=
"CHAP002.htm#SSEC003.1">2.3.1</a>
<
dt>IsPrimitiveElementOfNumberField <a href=
"CHAP002.htm#SSEC002.2">2.2.2</a>
<
dt>IsUnitOfNumberField <a href=
"CHAP002.htm#SSEC002.6">2.2.6</a>
</
dl><p>
<H2><A NAME=
"idxL">L</A></H2>
<
dl>
<
dt>License <a href=
"CHAP001.htm#SECT002">1.2</a>
<
dt>Loading and testing the package <a href=
"CHAP004.htm#SECT004">4.4</a>
</
dl><p>
<H2><A NAME=
"idxM">M</A></H2>
<
dl>
<
dt>MaximalOrderBasis <a href=
"CHAP002.htm#SSEC002.4">2.2.4</a>
<
dt>Methods for number fields <a href=
"CHAP002.htm">2.0</a> <a href=
"CHAP002.htm#SECT002">2.2</a>
<
dt>Methods to compute with subgroups of the unit group <a href=
"CHAP002.htm#SECT004">2.4</a>
</
dl><p>
<H2><A NAME=
"idxN">N</A></H2>
<
dl>
<
dt>NormCosetsOfNumberField <a href=
"CHAP002.htm#SSEC002.9">2.2.9</a>
<
dt>Number fields defined by a polynomial <a href=
"CHAP003.htm#SECT002">3.2</a>
<
dt>Number fields defined by matrices <a href=
"CHAP003.htm#SECT001">3.1</a>
</
dl><p>
<H2><A NAME=
"idxP">P</A></H2>
<
dl>
<
dt>PariVersion <a href=
"CHAP004.htm#SSEC003.1">4.3.1</a>
<
dt>PcpPresentationOfMultiplicativeSubgroup <a href=
"CHAP002.htm#SSEC003.1">2.3.1</a>
<
dt>Presentations of multiplicative subgroups <a href=
"CHAP002.htm#SECT003">2.3</a>
<
dt>PrimitiveElement <a href=
"CHAP002.htm#SSEC002.1">2.2.1</a>
</
dl><p>
<H2><A NAME=
"idxR">R</A></H2>
<
dl>
<
dt>RelationLattice <a href=
"CHAP002.htm#SSEC003.2">2.3.2</a>
<
dt>RelationLatticeOfUnits <a href=
"CHAP002.htm#SSEC004.1">2.4.1</a>
<
dt>RestoreAlnuthExternalExecutable <a href=
"CHAP004.htm#SSEC003.4">4.3.4</a>
</
dl><p>
<H2><A NAME=
"idxS">S</A></H2>
<
dl>
<
dt>SetAlnuthExternalExecutable <a href=
"CHAP004.htm#SSEC003.2">4.3.2</a>
<
dt>SetAlnuthExternalExecutablePermanently <a href=
"CHAP004.htm#SSEC003.3">4.3.3</a>
</
dl><p>
<H2><A NAME=
"idxU">U</A></H2>
<
dl>
<
dt>UnitGroup <a href=
"CHAP002.htm#SSEC002.5">2.2.5</a>
</
dl><p>
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"chapters.htm">Up</a>]<p>
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<
address>Alnuth manual<
br>April 2022
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