<
html><
head><
title>Alnuth : a GAP
4 package - Index </
title></
head>
<
body text=
"#000000" bgcolor=
"#ffffff">
<
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>
<P>
<
address>Alnuth manual<
br>April
2022
</
address></
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