\* 10.2-4\* 4.2-6\* 5.2-6\* 8.4-7\^ 10.5-3\^ 12.5-5\^ 6.7-1\in 10.2-4\in 12.1-6\in 12.1-6\in 4.2-6\in 4.7-3\in 5.2-6\in 8.4-7AbsolutePoints 7.3-2ActionOnAllProjPoints 6.8-2AffineGroup 10.5-1AffineSpace 10.1-2AffineSpace 10.1-2AffineSubspace 10.2-1AffineSubspace 10.2-1AffineVariety 12.4-1AffineVariety 12.4-1AG 10.1-2AG 10.1-2AlgebraicVariety 12.1-1AlgebraicVariety 12.1-1AlgebraicVariety 12.2-1AlgebraicVariety 12.2-1AlgebraicVariety 12.4-1AlgebraicVariety 12.4-1AmbientGeometry 4.2-8AmbientGroup 14.1-4AmbientPolarSpace 13.3-3AmbientSpace 10.1-6AmbientSpace 10.2-5AmbientSpace 12.1-3AmbientSpace 13.3-3AmbientSpace 13.4-2AmbientSpace 4.6-1AmbientSpace 5.1-6AmbientSpace 5.2-12AmbientSpace 8.3-2AmbientSpace 8.4-5AsList 5.4-3AsList 8.7-5AutGroupIncidenceStructureWithNauty 14.2-1BaseField 10.1-4BaseField 10.2-6BaseField 5.1-4BaseField 5.2-13BaseField 6.3-3BaseField 6.5-1BaseField 7.2-2BaseField 8.3-5BasePointOfEGQ 13.2-11BlockDesignOfGeneralisedPolygon 13.4-5BlownUpProjectiveSpace 11.7-3BlownUpProjectiveSpaceBySubfield 11.7-4BlownUpSubspaceOfProjectiveSpace 11.7-5BlownUpSubspaceOfProjectiveSpaceBySubfield 11.7-6BLTSetByqClan 13.2-8Borelsubgroup 14.1-5CanComputeActionOnPoints 6.10-4CanonicalGramMatrix B.1-1CanonicalPolarSpace 8.2-7CanonicalPolarSpace 8.2-7CanonicalQuadraticForm B.1-2CanonicalResidueOfFlag 14.1-17Collineation 6.2-2Collineation 6.2-2CollineationAction 13.4-4CollineationGroup 10.5-2CollineationGroup 13.4-3CollineationGroup 6.4-2CollineationGroup 8.6-4CollineationOfProjectiveSpace 6.2-2CollineationOfProjectiveSpace 6.2-2CollineationOfProjectiveSpace 6.2-2CollineationOfProjectiveSpace 6.2-2CollineationOfProjectiveSpace 6.2-2CollineationOfProjectiveSpace 6.2-2CompanionAutomorphism 7.2-4ComplementSpace 10.6-4Coordinates 5.2-8Coordinates 8.4-6CorGroupIncidenceStructureWithNauty 14.2-3Correlation 6.2-6CorrelationCollineationGroup 6.4-6CorrelationOfProjectiveSpace 6.2-6CorrelationOfProjectiveSpace 6.2-6CorrelationOfProjectiveSpace 6.2-6CorrelationOfProjectiveSpace 6.2-6CorrelationOfProjectiveSpace 6.2-6CosetGeometry 14.1-1DefiningListOfPolynomials 12.1-2DeltaOminus B.2-9DeltaOplus B.2-10DiagramOfGeometry 14.3-1Dimension 10.1-3Dimension 5.1-3Dimension 6.5-2Dimension 8.3-3Dimension 8.4-3DrawDiagram 14.3-2DrawDiagram 14.3-2DrawDiagram 14.3-2DualCoordinatesOfHyperplane 5.2-9EGQByBLTSet 13.2-9EGQByBLTSet 13.2-9EGQByKantorFamily 13.2-2EGQByqClan 13.2-5ElationGroup 13.2-10ElationOfProjectiveSpace 6.9-1ElementsIncidentWithElementOfIncidenceStructure 4.4-3ElementsIncidentWithElementOfIncidenceStructure 5.3-3ElementsIncidentWithElementOfIncidenceStructure 8.5-2ElementsOfIncidenceStructure 10.2-2ElementsOfIncidenceStructure 4.2-3ElementsOfIncidenceStructure 4.2-3ElementsOfIncidenceStructure 4.2-3ElementToElement 4.8-1ElementToVectorSpace 4.7-2EllipticQuadric 8.2-5EllipticQuadric 8.2-5ElmentsOfIncidenceStructure 5.2-4ElmentsOfIncidenceStructure 8.4-4Embed 4.8-1Embedding 6.6-1EmptySubspace 5.2-2EmptySubspace 8.4-2Enumerator 10.4-2Enumerator 4.5-2Enumerator 5.4-2Enumerator 8.7-2EquationOfHyperplane 5.2-11FieldAutomorphism 6.3-4FindBasePointCandidates B.3-1FINING 6.10-3FiningOrbit 9.1-1FiningOrbits 9.1-2FiningSetwiseStabiliser 9.2-3FiningStabiliser 9.2-1FiningStabiliserOrb 9.2-2FisherqClan 13.2-7FisherThasWalkerKantorBettenqClan 13.2-7FlagOfIcidenceStructure 4.3-1FlagOfIncidenceStructure 5.2-18FlagToStandardFlag 14.1-16GammaO B.2-12GammaOminus B.2-11GammaOplus B.2-13GammaSp B.2-8GammaU B.2-14GeneralSymplecticGroup B.2-6GeometryOfAbsolutePoints 7.3-1GOdesargues B.2-2GramMatrix 7.2-3GrassmannMap 12.8-3GrassmannMap 12.8-3GrassmannMap 12.8-3GrassmannMap 12.8-3GrassmannVariety 12.8-1GrassmannVariety 12.8-1GrassmannVariety 12.8-1GSpdesargues B.2-7GUdesargues B.2-4HermitianPolarityOfProjectiveSpace 7.1-2HermitianPolarSpace 8.2-2HermitianPolarSpace 8.2-2HermitianVariety 12.3-1HermitianVariety 12.3-1HermitianVariety 12.3-2HermitianVariety 12.3-2HomographyGroup 6.4-1HomologyOfProjectiveSpace 6.9-3HyperbolicQuadric 8.2-4HyperbolicQuadric 8.2-4HyperplaneByDualCoordinates 5.2-10Hyperplanes 10.2-3Hyperplanes 4.7-4Hyperplanes 4.7-4Hyperplanes 5.2-5Hyperplanes 5.3-4Hyperplanes 5.3-4IdentityMappingOfElementsOfProjectiveSpace 6.2-4ImageElm 12.5-3ImagesSet 12.5-4IncidenceGraph 14.1-19IncidenceGraphOfGeneralisedPolygon 13.4-6IncidenceMatrixOfGeneralisedPolygon 13.4-7IncidenceStructure 4.1-2Intertwiner 11.1-2Intertwiner 11.4-3IsAffineSpace 10.1-1IsAffineSpace 4.1-4IsCanonicalPolarSpace 8.2-6IsChamberOfIncidenceStructure 4.3-2IsChamberOfIncidenceStructure 5.2-20IsClassicalGQ 4.1-8IsClassicalPolarSpace 4.1-5IsClassicalPolarSpace 8.1-1IsCollinear 8.4-10IsCollineation 6.1-4IsCollineationGroup 6.4-5IsConnected 14.1-13IsCorrelation 6.1-6IsCorrelationCollineation 6.1-6IsCosetGeometry 4.1-4IsDesarguesianSpreadElement 11.7-7IsElationGQ 4.1-7IsElemenstOfAffineSpace 4.2-2IsElemenstOfCosetGeometry 4.2-2IsElementOfAffineSpace 4.2-1IsElementOfCosetGeometry 4.2-1IsElementOfIncidenceGeometry 4.2-1IsElementOfIncidenceStructure 4.2-1IsElementOfLieGeometry 4.2-1IsElementsOfIncidenceGeometry 4.2-2IsElementsOfIncidenceStructure 4.2-2IsElementsOfLieGeometry 4.2-2IsEllipticQuadric 8.3-7IsEmptyFlag 5.2-19IsEmptySubspace 4.6-4IsFirmGeometry 14.1-10IsFlagTransitiveGeometry 14.1-9IsGeneralisedHexagon 4.1-6IsGeneralisedOctagon 4.1-6IsGeneralisedPolygon 4.1-4IsGeneralisedQuadrangle 4.1-6IsGeometryMorphism 11.1-1IsHermitianPolarityOfProjectiveSpace 7.2-5IsHyperbolicQuadric 8.3-6IsIncidenceGeometry 4.1-3IsIncidenceStructure 4.1-1IsIncident 10.2-4IsIncident 14.1-2IsIncident 4.2-6IsIncident 5.2-6IsIncident 8.4-7IsIsomorphicIncidenceStructureWithNauty 14.2-2IsKantorFamily 13.2-1IsLieGeometry 4.1-4IsometryGroup 8.6-2IsomorphismPolarSpaces 11.2-1IsomorphismPolarSpaces 11.2-1IsomorphismPolarSpacesNC 11.7-1IsomorphismPolarSpacesNC 11.7-1IsOrthogonalPolarityOfProjectiveSpace 7.2-7IsParabolicQuadric 8.3-8IsParallel 10.2-9IsProjectiveSpace 4.1-5IsProjectiveSpace 5.1-1IsProjectivity 6.1-3IsProjectivityGroup 6.4-4IsProjGrpEl 6.1-1IsProjGrpElRep 6.1-2IsProjGrpElWithFrob 6.1-1IsProjGrpElWithFrobRep 6.1-2IsProjGrpElWithFrobWithPSIsom 6.1-1IsProjGrpElWithFrobWithPSIsom 6.1-6IsProjGrpElWithFrobWithPSIsomRep 6.1-2IsPseudoPolarityOfProjectiveSpace 7.2-8IsqClan 13.2-3IsResiduallyConnected 14.1-14IsStrictlySemilinear 6.1-5IsSubspaceOfClassicalPolarSpace 4.2-1IsSubspaceOfProjectiveSpace 4.2-1IsSubspacesOfClassicalPolarSpace 4.2-2IsSubspacesOfProjectiveSpace 4.2-2IsSymplecticPolarityOfProjectiveSpace 7.2-6IsThickGeometry 14.1-11IsThinGeometry 14.1-12IsVectorSpaceTransversal 10.6-1Iterator 10.4-1Iterator 12.1-5Iterator 4.5-1Iterator 5.4-1Iterator 8.7-4KantorFamilyByqClan 13.2-6KantorKnuthqClan 13.2-7KantorMonomialqClan 13.2-7KleinCorrespondence 11.6-1KleinCorrespondence 11.6-1KleinCorrespondence 11.6-1KleinCorrespondence 11.6-1KleinCorrespondence 11.6-2KleinCorrespondence 11.6-2KleinCorrespondenceExtended 11.6-3KleinCorrespondenceExtended 11.6-3LinearqClan 13.2-7Lines 10.2-3Lines 4.2-4Lines 4.4-4Lines 4.4-4Lines 5.2-5Lines 5.3-4Lines 5.3-4List 5.4-3List 8.7-2Meet 10.2-8Meet 5.2-17Meet 5.2-17Meet 8.4-9NaturalDuality 11.3-1NaturalDuality 11.3-1NaturalDuality 11.3-1NaturalDuality 11.3-1NaturalEmbeddingByFieldReduction 11.4-2NaturalEmbeddingByFieldReduction 11.4-2NaturalEmbeddingByFieldReduction 11.4-2NaturalEmbeddingByFieldReduction 11.4-2NaturalEmbeddingByFieldReduction 11.4-4NaturalEmbeddingByFieldReduction 11.4-4NaturalEmbeddingByFieldReduction 11.4-4NaturalEmbeddingBySubField 11.4-5NaturalEmbeddingBySubField 11.4-5NaturalEmbeddingBySubspace 11.4-1NaturalEmbeddingBySubspaceNC 11.7-2NaturalProjectionBySubspace 11.5-1NaturalProjectionBySubspaceNC 11.5-1NiceMonomorphism 6.10-1NiceMonomorphismByDomain 6.10-5NiceMonomorphismByOrbit 6.10-6NiceObject 6.10-2NrElementsOfIncidenceStructure 4.2-5NrElementsOfIncidenceStructure 4.2-5OnAffineSpaces 10.5-3OnProjSubspaces 6.8-1OnProjSubspacesExtended 6.8-3Order 13.4-1Order 6.3-6ParabolicQuadric 8.2-3ParabolicQuadric 8.2-3ParabolicSubgroups 14.1-3ParallelClass 10.2-10ParallelClass 10.2-10PG 5.1-2Planes 10.2-3Planes 4.2-4Planes 4.4-4Planes 4.4-4Planes 5.2-5Planes 5.3-4Planes 5.3-4Points 10.2-3Points 12.1-4Points 12.6-2Points 12.7-2Points 12.8-2Points 4.2-4Points 4.4-4Points 4.4-4Points 5.2-5Points 5.3-4Points 5.3-4PointsOfAlgebraicVariety 12.1-4PointsOfGrassmannVariety 12.8-2PointsOfSegreVariety 12.6-2PointsOfVeroneseVariety 12.7-2PolarityOfProjectiveSpace 7.1-1PolarityOfProjectiveSpace 7.1-2PolarityOfProjectiveSpace 7.1-3PolarityOfProjectiveSpace 7.1-4PolarityOfProjectiveSpace 8.4-11PolarSpace 12.3-6PolarSpace 7.3-3PolarSpace 8.1-2PolarSpace 8.1-2ProjectiveCompletion 11.4-6ProjectiveDimension 4.6-3ProjectiveDimension 5.1-3ProjectiveDimension 5.2-3ProjectiveDimension 8.3-3ProjectiveDimension 8.4-3ProjectiveElationGroup 6.9-2ProjectiveElationGroup 6.9-2ProjectiveHomologyGroup 6.9-4ProjectivePlaneByBlocks 13.1-1ProjectivePlaneByIncidenceMatrix 13.1-2ProjectiveSemilinearMap 6.2-3ProjectiveSpace 5.1-2ProjectiveSpace 5.1-2ProjectiveSpaceIsomorphism 6.3-5ProjectiveVariety 12.2-1ProjectiveVariety 12.2-1Projectivity 6.2-1Projectivity 6.2-1ProjectivityGroup 6.4-1qClan 13.2-4QuadraticForm 12.3-4QuadraticVariety 12.3-3QuadraticVariety 12.3-3Random 4.2-7Random 5.2-14RandomChamber 14.1-8RandomElement 14.1-6RandomFlag 14.1-7RandomSubspace 5.2-15RandomSubspace 5.2-15Range 12.5-2Rank 10.1-3Rank 4.1-11Rank 5.1-3Rank 8.3-4Rank2Parameters 14.1-22RankAttr 4.1-11Representative 6.3-1ResidueOfFlag 14.1-18Rk2GeoDiameter 14.1-21Rk2GeoGonality 14.1-20SegreMap 12.6-3SegreMap 12.6-3SegreMap 12.6-3SegreMap 12.6-3SegreMap 12.6-3SegreMap 12.6-3SegreVariety 12.6-1SegreVariety 12.6-1SegreVariety 12.6-1SegreVariety 12.6-1SegreVariety 12.6-1SesquilinearForm 12.3-5SesquilinearForm 7.2-1ShadowOfElement 10.3-1ShadowOfElement 4.4-1ShadowOfElement 4.4-1ShadowOfElement 5.3-1ShadowOfElement 5.3-1ShadowOfElement 8.5-1ShadowOfElement 8.5-1ShadowOfFlag 10.3-2ShadowOfFlag 4.4-2ShadowOfFlag 4.4-2ShadowOfFlag 4.4-2ShadowOfFlag 4.4-2ShadowOfFlag 5.3-2ShadowOfFlag 5.3-2SimilarityGroup 8.6-3SOdesargues B.2-1Solids 10.2-3Solids 4.2-4Solids 4.4-4Solids 4.4-4Solids 5.2-5Solids 5.3-4Solids 5.3-4Source 12.5-1Source 12.6-4Source 12.7-4Source 12.8-4Span 10.2-7Span 5.2-16Span 5.2-16Span 8.4-8Spdesargues B.2-5SpecialHomographyGroup 6.4-3SpecialIsometryGroup 8.6-1SpecialProjectivityGroup 6.4-3SplitCayleyHexagon 13.3-1SplitCayleyHexagon 13.3-1StandardDualityOfProjectiveSpace 6.2-5StandardFlagOfCosetGeometry 14.1-15StandardFrame 5.2-7StandardPolarSpace 8.2-8StandardPolarSpace 8.2-8SUdesargues B.2-3SymplecticSpace 8.2-1SymplecticSpace 8.2-1TwistedTrialityHexagon 13.3-2TwistedTrialityHexagon 13.3-2TypeOfSubspace 8.4-12TypesOfElementsOfIncidenceStructure 4.1-10TypesOfElementsOfIncidenceStructurePlural 4.1-10UnderlyingMatrix 6.3-2UnderlyingVectorSpace 10.1-5UnderlyingVectorSpace 4.6-2UnderlyingVectorSpace 5.1-5UnderlyingVectorSpace 8.3-1VectorSpaceToElement 4.7-1VectorSpaceToElement 4.7-1VectorSpaceToElement 5.2-1VectorSpaceToElement 8.4-1VectorSpaceTransversal 10.6-2VectorSpaceTransversalElement 10.6-3VeroneseMap 12.7-3VeroneseMap 12.7-3VeroneseMap 12.7-3VeroneseMap 12.7-3VeroneseVariety 12.7-1VeroneseVariety 12.7-1VeroneseVariety 12.7-1
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