<html ><head ><title >Alnuth : a GAP 4 package - Index </title ></head >
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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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