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<html><head><title>rds : a GAP 4 package - Index </title></head> <body text="#000000" bgcolor="#ffffff"> <h1><font face="Gill Sans,Helvetica,Arial">rds</font> : a <font face="Gill Sans,Helvetica,Aria <p> <a href="#idxA">A</A> <a href="#idxB">B</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="#idxH">H</A> <a href="#idxI">I</A> <a href="#idxL">L</A> <a href="#idxM">M</A> <a href="#idxN">N</A> <a href="#idxO">O</A> <a href="#idxP">P</A> <a href="#idxR">R</A> <a href="#idxS">S</A> <a href="#idxT">T</A> <a href="#idxV">V</A> <H2><A NAME="idxA">A</A></H2> <dl> <dt>A basic example <a href="CHAP003.htm">3.0</a> <dt>About this package <a href="CHAP001.htm">1.0</a> <dt>AbssquareInCyclotomics <a href="CHAP009.htm#SSEC004.3">9.4.3</a> <dt>Acknowledgements <a href="CHAP001.htm#SECT001">1.1</a> <dt>AllDiffsets <a href="CHAP004.htm#SSEC004.1">4.4.1</a> <dt>AllDiffsets and OneDiffset <a href="CHAP002.htm">2.0</a> <dt>AllDiffsetsNoSort <a href="CHAP004.htm#SSEC004.2">4.4.2</a> <dt>AllElationsAx <a href="CHAP008.htm#SSEC002.3">8.2.3</a> <dt>AllElationsCentAx <a href="CHAP008.htm#SSEC002.2">8.2.2</a> <dt>AllPresentables <a href="CHAP004.htm#SSEC003.7">4.3.7</a> <dt>An Example Program <a href="CHAP006.htm">6.0</a> <dt>An invariant for large lambda <a href="CHAP005.htm#SECT002">5.2</a> </dl><p> <H2><A NAME="idxB">B</A></H2> <dl> <dt>Basic functions for startset generation <a href="CHAP004.htm#SECT003">4.3</a> <dt>Blackbox functions <a href="CHAP005.htm#SECT003">5.3</a> <dt>Block Designs and Projective Planes <a href="CHAP008.htm">8.0</a> <dt>Brute force methods <a href="CHAP004.htm#SECT004">4.4</a> </dl><p> <H2><A NAME="idxC">C</A></H2> <dl> <dt>CartesianIterator <a href="CHAP009.htm#SSEC002.1">9.2.1</a> <dt>Central Collineations <a href="CHAP008.htm#SECT002">8.2</a> <dt>Change of coset vs. brute force <a href="CHAP003.htm#SECT003">3.3</a> <dt>CoeffList2CyclotomicList <a href="CHAP009.htm#SSEC004.2">9.4.2</a> <dt>Collineations on Baer Subplanes <a href="CHAP008.htm#SECT003">8.3</a> <dt>ConcatenationOfIterators <a href="CHAP009.htm#SSEC002.2">9.2.2</a> <dt>CosetSignatureOfSet <a href="CHAP005.htm#SSEC001.1">5.1.1</a> <dt>CosetSignatures <a href="CHAP005.htm#SSEC001.2">5.1.2</a> <dt>Cyclotomic numbers <a href="CHAP009.htm#SECT004">9.4</a> <dt>CycsGivenCoeffSum <a href="CHAP009.htm#SSEC004.4">9.4.4</a> </dl><p> <H2><A NAME="idxD">D</A></H2> <dl> <dt>DataForQuotientImage <a href="CHAP007.htm#SSEC001.2">7.1.2</a> <dt>DebugRDS <a href="CHAP001.htm#SSEC003.2">1.3.2</a> <dt>Definition <a href="CHAP007.htm#SECT003">7.3</a> <dt>Definitions and Objects <a href="CHAP001.htm#SECT004">1.4</a> <dt>DevelopmentOfRDS <a href="CHAP008.htm#">8.0</a> </dl><p> <H2><A NAME="idxE">E</A></H2> <dl> <dt>ElationByPair <a href="CHAP008.htm#SSEC002.1">8.2.1</a> <dt>ExtendedStartsets <a href="CHAP004.htm#SSEC003.9">4.3.9</a> <dt>ExtendedStartsetsNoSort <a href="CHAP004.htm#SSEC003.9">4.3.9</a> </dl><p> <H2><A NAME="idxF">F</A></H2> <dl> <dt>Filters and Categories <a href="CHAP009.htm#SECT005">9.5</a> <dt>FingerprintAntiFlag <a href="CHAP008.htm#SSEC004.5">8.4.5</a> <dt>FingerprintProjPlane <a href="CHAP008.htm#SSEC004.4">8.4.4</a> <dt>First Step: Integers instead of group elements <a href="CHAP003.htm#SECT001">3.1</a> </dl><p> <H2><A NAME="idxG">G</A></H2> <dl> <dt>General concepts <a href="CHAP004.htm">4.0</a> <dt>GroupList2PermList <a href="CHAP004.htm#SSEC003.4">4.3.4</a> <dt>GroupOfHomologies <a href="CHAP008.htm#SSEC002.6">8.2.6</a> <dt>Groups and actions <a href="CHAP009.htm#SECT001">9.1</a> </dl><p> <H2><A NAME="idxH">H</A></H2> <dl> <dt>HomologyByPair <a href="CHAP008.htm#SSEC002.5">8.2.5</a> <dt>How partial difference sets are represented <a href="CHAP004.htm#SECT002">4.2</a> </dl><p> <H2><A NAME="idxI">I</A></H2> <dl> <dt>IncidenceMatrix <a href="CHAP008.htm#SSEC004.2">8.4.2</a> <dt>InducedCollineation <a href="CHAP008.htm#SSEC003.1">8.3.1</a> <dt>InfoRDS <a href="CHAP001.htm#SSEC003.1">1.3.1</a> <dt>Installation <a href="CHAP001.htm#SECT002">1.2</a> <dt>Introduction <a href="CHAP004.htm#SECT001">4.1</a> <dt>Invariants for Difference Sets <a href="CHAP005.htm">5.0</a> <dt>Invariants for Projective Planes <a href="CHAP008.htm#SECT004">8.4</a> <dt>IsCollineationOfProjectivePlane <a href="CHAP008.htm#SSEC001.2">8.1.2</a> <dt>IsComputableFilter <a href="CHAP009.htm#SSEC005.1">9.5.1</a> <dt>IsDiffset <a href="CHAP004.htm#SSEC003.2">4.3.2</a> <dt>IsIsomorphismOfProjectivePlanes <a href="CHAP008.htm#SSEC001.1">8.1.1</a> <dt>IsListOfIntegers <a href="CHAP009.htm#SSEC003.1">9.3.1</a> <dt>IsomorphismProjPlanesByGenerators <a href="CHAP008.htm#SSEC001.3">8.1.3</a> <dt>IsomorphismProjPlanesByGeneratorsNC <a href="CHAP008.htm#SSEC001.3">8.1.3</a> <dt>Isomorphisms and Collineations <a href="CHAP008.htm#SECT001">8.1</a> <dt>IsPartialDiffset <a href="CHAP004.htm#SSEC003.3">4.3.3</a> <dt>IsRootOfUnity <a href="CHAP009.htm#SSEC004.1">9.4.1</a> <dt>IsTranslationPlane <a href="CHAP008.htm#SSEC002.4">8.2.4</a> <dt>Iterators <a href="CHAP009.htm#SECT002">9.2</a> </dl><p> <H2><A NAME="idxL">L</A></H2> <dl> <dt>List2Tuples <a href="CHAP009.htm#SSEC003.2">9.3.2</a> <dt>Lists and Matrices <a href="CHAP009.htm#SECT003">9.3</a> </dl><p> <H2><A NAME="idxM">M</A></H2> <dl> <dt>MatchingFGData <a href="CHAP005.htm#SSEC001.11">5.1.11</a> <dt>MatchingFGDataForOrderedSigs <a href="CHAP007.htm#SSEC001.4">7.1.4</a> <dt>MatchingFGDataNonGrp <a href="CHAP005.htm#SSEC001.10">5.1.10</a> <dt>MatTimesTransMat <a href="CHAP009.htm#SSEC003.3">9.3.3</a> <dt>Methods for calculating ordered signatures <a href="CHAP007.htm#SECT004">7.4</a> <dt>MultiplicityInvariantLargeLambda <a href="CHAP005.htm#SSEC002.1">5.2.1</a> </dl><p> <H2><A NAME="idxN">N</A></H2> <dl> <dt>NewPresentables <a href="CHAP004.htm#SSEC003.6">4.3.6</a> <dt>NormalSgsForQuotientImages <a href="CHAP007.htm#SSEC001.1">7.1.1</a> <dt>NormalSgsHavingAtMostNSigs <a href="CHAP005.htm#SSEC003.2">5.3.2</a> <dt>NormalSubgroupsForRep <a href="CHAP007.htm#SSEC004.1">7.4.1</a> <dt>NrFanoPlanesAtPoints <a href="CHAP008.htm#SSEC004.1">8.4.1</a> </dl><p> <H2><A NAME="idxO">O</A></H2> <dl> <dt>OneDiffset <a href="CHAP004.htm#SSEC004.3">4.4.3</a> <dt>OneDiffsetNoSort <a href="CHAP004.htm#SSEC004.4">4.4.4</a> <dt>OnSubgroups <a href="CHAP009.htm#SSEC001.1">9.1.1</a> <dt>Ordered Signatures <a href="CHAP007.htm">7.0</a> <dt>Ordered signatures by quotient images <a href="CHAP007.htm#SECT001">7.1</a> <dt>Ordered signatures using representations <a href="CHAP007.htm#SECT002">7.2</a> <dt>OrderedSigInvariant <a href="CHAP007.htm#SSEC001.5">7.1.5</a> <dt>OrderedSignatureOfSet <a href="CHAP007.htm#SSEC004.3">7.4.3</a> <dt>OrderedSigs <a href="CHAP007.htm#SSEC004.2">7.4.2</a> <dt>OrderedSigsFromQuotientImages <a href="CHAP007.htm#SSEC001.3">7.1.3</a> </dl><p> <H2><A NAME="idxP">P</A></H2> <dl> <dt>PartitionByFunction <a href="CHAP009.htm#SSEC003.5">9.3.5</a> <dt>PartitionByFunctionNF <a href="CHAP009.htm#SSEC003.4">9.3.4</a> <dt>PermList2GroupList <a href="CHAP004.htm#SSEC003.5">4.3.5</a> <dt>PermutationRepForDiffsetCalculations <a href="CHAP004.htm#SSEC003.1">4.3.1</a> <dt>PointJoiningLinesProjectivePlane <a href="CHAP008.htm#">8.0</a> <dt>ProjectiveClosureOfPointSet <a href="CHAP008.htm#">8.0</a> <dt>ProjectivePlane <a href="CHAP008.htm#">8.0</a> </dl><p> <H2><A NAME="idxR">R</A></H2> <dl> <dt>RDS_MaxAutsizeForOrbitCalculation <a href="CHAP005.htm#SSEC001.13">5.1.13</a> <dt>RDS_PRank <a href="CHAP008.htm#SSEC004.3">8.4.3</a> <dt>RDSFactorGroupData <a href="CHAP005.htm#SSEC001.9">5.1.9</a> <dt>ReducedStartsets <a href="CHAP005.htm#SSEC001.12">5.1.12</a> <dt>RemainingCompletions <a href="CHAP004.htm#SSEC003.8">4.3.8</a> <dt>RemainingCompletionsNoSort <a href="CHAP004.htm#SSEC003.8">4.3.8</a> <dt>RepsCClassesGivenOrder <a href="CHAP009.htm#SSEC001.2">9.1.2</a> </dl><p> <H2><A NAME="idxS">S</A></H2> <dl> <dt>SigInvariant <a href="CHAP005.htm#SSEC001.7">5.1.7</a> <dt>SignatureData <a href="CHAP005.htm#SSEC003.1">5.3.1</a> <dt>SignatureDataForNormalSubgroups <a href="CHAP005.htm#SSEC001.8">5.1.8</a> <dt>Signatures: An important tool <a href="CHAP003.htm#SECT002">3.2</a> <dt>Some functions for everyday use <a href="CHAP009.htm">9.0</a> <dt>StartsetsInCoset <a href="CHAP005.htm#SSEC003.4">5.3.4</a> <dt>SuitableAutomorphismsForReduction <a href="CHAP005.htm#SSEC003.3">5.3.3</a> </dl><p> <H2><A NAME="idxT">T</A></H2> <dl> <dt>TestedSignatures <a href="CHAP005.htm#SSEC001.5">5.1.5</a> <dt>TestedSignaturesRelative <a href="CHAP005.htm#SSEC001.6">5.1.6</a> <dt>TestSignatureCyclicFactorGroup <a href="CHAP005.htm#SSEC001.4">5.1.4</a> <dt>TestSignatureLargeIndex <a href="CHAP005.htm#SSEC001.3">5.1.3</a> <dt>The Coset Signature <a href="CHAP005.htm#SECT001">5.1</a> </dl><p> <H2><A NAME="idxV">V</A></H2> <dl> <dt>Verbosity <a href="CHAP001.htm#SECT003">1.3</a> </dl><p> [<a href="chapters.htm">Up</a>]<p> <P> <address>rds manual<br>September 2025 </address></body></html>
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2026-07-27