3D4fining B.2-16\* 12.4-4\* 3.2-11\* 4.2-6\* 7.5-1\* 9.2-4\^ 11.5-5\^ 13.1-12\^ 13.1-13\^ 5.7-1\^ 9.5-3\in 11.1-6\in 11.1-6\in 12.5-8\in 3.7-3\in 4.2-6\in 7.5-1\in 9.2-4AbsolutePoints 6.3-2Action 8.3-2ActionHomomorphism 8.3-2ActionOnAllProjPoints 5.8-2AffineGroup 9.5-1AffineSpace 9.1-2AffineSpace 9.1-2AffineSubspace 9.2-1AffineSubspace 9.2-1AffineVariety 11.4-1AffineVariety 11.4-1AG 9.1-2AG 9.1-2AlgebraicVariety 11.1-1AlgebraicVariety 11.1-1AlgebraicVariety 11.2-1AlgebraicVariety 11.2-1AlgebraicVariety 11.4-1AlgebraicVariety 11.4-1AmbientGeometry 3.2-12AmbientGeometry 3.3-7AmbientGroup 13.1-5AmbientSpace 11.1-3AmbientSpace 3.6-2AmbientSpace 4.1-6AmbientSpace 4.2-12AmbientSpace 7.3-2AmbientSpace 7.4-5AmbientSpace 9.1-6AmbientSpace 9.2-5AsList 3.5-4AsList 4.4-3AsList 7.8-5AutGroupIncidenceStructureWithNauty 13.2-1BaseField 4.1-4BaseField 4.2-13BaseField 5.3-4BaseField 5.5-1BaseField 6.2-2BaseField 7.3-5BaseField 9.1-4BaseField 9.2-6BasePointOfEGQ 12.6-5BilinearFormFieldReduction C.2-2BilinearFormFieldReduction C.2-2BlockDesignOfGeneralisedPolygon 12.3-7BlownUpProjectiveSpace C.1-3BlownUpProjectiveSpaceBySubfield C.1-4BlownUpSubspaceOfProjectiveSpace 10.4-4BlownUpSubspaceOfProjectiveSpace C.1-5BlownUpSubspaceOfProjectiveSpace C.1-5BlownUpSubspaceOfProjectiveSpaceBySubfield C.1-6BLTSetByqClan 12.6-14Borelsubgroup 13.1-6CanComputeActionOnPoints 5.10-4CanonicalGramMatrix B.1-1CanonicalPolarSpace 7.2-7CanonicalPolarSpace 7.2-7CanonicalQuadraticForm B.1-2CanonicalResidueOfFlag 13.1-21Collineation 5.2-2Collineation 5.2-2CollineationAction 12.3-6CollineationAction 12.6-6CollineationGroup 12.3-5CollineationGroup 12.5-10CollineationGroup 5.4-2CollineationGroup 7.7-4CollineationGroup 9.5-2CollineationOfProjectiveSpace 5.2-2CollineationOfProjectiveSpace 5.2-2CollineationOfProjectiveSpace 5.2-2CollineationOfProjectiveSpace 5.2-2CollineationOfProjectiveSpace 5.2-2CollineationOfProjectiveSpace 5.2-2CollineationSubgroup 12.6-18CompanionAutomorphism 6.2-4ComplementSpace 9.6-4Coordinates 4.2-8Coordinates 7.4-6CorGroupIncidenceStructureWithNauty 13.2-2Correlation 5.2-6CorrelationCollineationGroup 5.4-6CorrelationOfProjectiveSpace 5.2-6CorrelationOfProjectiveSpace 5.2-6CorrelationOfProjectiveSpace 5.2-6CorrelationOfProjectiveSpace 5.2-6CorrelationOfProjectiveSpace 5.2-6CosetGeometry 13.1-2DefiningListOfPolynomials 11.1-2DefiningPlanesOfEGQByBLTSet 12.6-16DeltaOminus B.2-9DeltaOplus B.2-10DiagramOfGeometry 13.3-1Dimension 4.1-3Dimension 5.5-2Dimension 7.3-3Dimension 7.4-3Dimension 9.1-3DistanceBetweenElements 12.4-8DrawDiagram 13.3-3DrawDiagram 13.3-3DrawDiagram 13.3-3DrawDiagramWithNeato 13.3-4DualCoordinatesOfHyperplane 4.2-9EGQByBLTSet 12.6-15EGQByKantorFamily 12.6-4EGQByqClan 12.6-11ElationGroup 12.6-6ElationOfProjectiveSpace 5.9-1ElementsIncidentWithElementOfIncidenceStructure 12.4-7ElementsIncidentWithElementOfIncidenceStructure 3.4-2ElementsIncidentWithElementOfIncidenceStructure 4.3-3ElementsIncidentWithElementOfIncidenceStructure 7.6-2ElementsOfFlag 3.3-4ElementsOfIncidenceStructure 3.2-6ElementsOfIncidenceStructure 3.2-6ElementsOfIncidenceStructure 3.2-7ElementsOfIncidenceStructure 4.2-4ElementsOfIncidenceStructure 7.4-4ElementsOfIncidenceStructure 9.2-2ElementsOfIncidencStructure 12.4-1ElementToElement 3.8-1EllipticQuadric 7.2-5EllipticQuadric 7.2-5Embed 3.8-1Embedding 5.6-1EmptySubspace 4.2-2EmptySubspace 7.4-2Enumerator 3.5-2Enumerator 4.4-2Enumerator 7.8-2Enumerator 9.4-2EquationOfHyperplane 4.2-11FieldAutomorphism 5.3-5FindBasePointCandidates B.3-1FINING 5.10-3FiningOrbit 8.1-1FiningOrbits 8.1-2FiningOrbits 8.1-2FiningSetwiseStabiliser 8.2-3FiningStabiliser 8.2-1FiningStabiliserOrb 8.2-2FisherqClan 12.6-9FisherThasWalkerKantorBettenqClan 12.6-9FlagOfIncidenceStructure 3.3-1FlagOfIncidenceStructure 4.2-18FlagToStandardFlag 13.1-20G2fining B.2-15GammaO B.2-12GammaOminus B.2-11GammaOplus B.2-13GammaSp B.2-8GammaU B.2-14GeneralisedPolygonByBlocks 12.2-1GeneralisedPolygonByElements 12.2-3GeneralisedPolygonByElements 12.2-3GeneralisedPolygonByIncidenceMatrix 12.2-2GeneralSymplecticGroup B.2-6GeometryOfAbsolutePoints 6.3-1GeometryOfDiagram 13.3-2GeometryOfRank2Residue 13.1-26GOdesargues B.2-2GramMatrix 6.2-3GrassmannMap 11.8-3GrassmannMap 11.8-3GrassmannMap 11.8-3GrassmannMap 11.8-3GrassmannVariety 11.8-1GrassmannVariety 11.8-1GrassmannVariety 11.8-1GSpdesargues B.2-7GUdesargues B.2-4HermitianFormFieldReduction C.2-3HermitianFormFieldReduction C.2-3HermitianPolarityOfProjectiveSpace 6.1-2HermitianPolarSpace 7.2-2HermitianPolarSpace 7.2-2HermitianVariety 11.3-1HermitianVariety 11.3-1HermitianVariety 11.3-1HermitianVariety 11.3-1HomographyGroup 5.4-1HomologyOfProjectiveSpace 5.9-3HyperbolicQuadric 7.2-4HyperbolicQuadric 7.2-4HyperplaneByDualCoordinates 4.2-10Hyperplanes 3.7-4Hyperplanes 3.7-4Hyperplanes 4.2-5Hyperplanes 4.3-4Hyperplanes 4.3-4Hyperplanes 9.2-3IdentityMappingOfElementsOfProjectiveSpace 5.2-4ImageElm 11.5-3ImagesSet 11.5-4IncidenceGraph 12.3-3IncidenceGraph 13.1-23IncidenceGraph 3.1-8IncidenceGraphAttr 12.3-2IncidenceMatrixOfGeneralisedPolygon 12.3-4IncidenceStructure 3.1-3Intertwiner 10.1-2InversePluckerCoordinates C.3-1IsAffineSpace 3.1-4IsAffineSpace 9.1-1IsCanonicalPolarSpace 7.2-6IsChamberOfIncidenceStructure 3.3-2IsChamberOfIncidenceStructure 4.2-20IsClassicalGeneralisedHexagon 12.1-6IsClassicalGQ 12.1-5IsClassicalPolarSpace 3.6-1IsClassicalPolarSpace 7.1-1IsCollinear 7.5-4IsCollineation 5.1-4IsCollineationGroup 5.4-5IsConnected 13.1-17IsCorrelation 5.1-6IsCorrelationCollineation 5.1-6IsCosetGeometry 13.1-1IsCosetGeometry 3.1-4IsDesarguesianPlane 12.1-4IsDesarguesianSpreadElement C.1-7IsEGQByBLTSet 12.6-13IsEGQByKantorFamily 12.6-2IsElationGQ 12.1-5IsElementOfAffineSpace 3.2-1IsElementOfCosetGeometry 3.2-1IsElementOfGeneralisedPolygon 3.2-1IsElementOfIncidenceGeometry 3.2-1IsElementOfIncidenceStructure 3.2-1IsElementOfKantorFamily 12.6-2IsElementOfLieGeometry 3.2-1IsElementsOfAffineSpace 3.2-5IsElementsOfCosetGeometry 3.2-5IsElementsOfIncidenceGeometry 3.2-5IsElementsOfIncidenceStructure 3.2-5IsElementsOfLieGeometry 3.2-5IsEllipticQuadric 7.3-7IsEmptyFlag 3.3-3IsEmptyFlag 4.2-19IsEmptySubspace 3.6-5IsFirmGeometry 13.1-14IsFlagTransitiveGeometry 13.1-10IsGeneralisedHexagon 12.1-2IsGeneralisedOctagon 12.1-2IsGeneralisedPolygon 12.1-1IsGeneralisedPolygon 3.1-4IsGeneralisedPolygonRep 12.1-1IsGeneralisedQuadrangle 12.1-2IsGeometryMorphism 10.1-1IsHermitianPolarityOfProjectiveSpace 6.2-5IsHyperbolicQuadric 7.3-6IsIncidenceGeometry 3.1-2IsIncidenceStructure 3.1-1IsIncident 12.4-4IsIncident 13.1-3IsIncident 3.2-11IsIncident 3.3-9IsIncident 3.3-9IsIncident 4.2-6IsIncident 7.5-1IsIncident 9.2-4IsIsomorphicIncidenceStructureWithNauty 13.2-3IsKantorFamily 12.6-3IsLieGeometry 12.5-2IsLieGeometry 3.1-4IsometryGroup 7.7-2IsomorphismPolarSpaces 10.2-1IsomorphismPolarSpaces 10.2-1IsomorphismPolarSpacesNC C.3-3IsomorphismPolarSpacesNC C.3-3IsomorphismPolarSpacesProjectionFromNucleus C.3-2IsOrthogonalPolarityOfProjectiveSpace 6.2-7IsParabolicQuadric 7.3-8IsParallel 9.2-9IsProjectivePlaneCategory 12.1-2IsProjectiveSpace 3.6-1IsProjectiveSpace 4.1-1IsProjectivity 5.1-3IsProjectivityGroup 5.4-4IsProjGrpEl 5.1-1IsProjGrpElRep 5.1-2IsProjGrpElWithFrob 5.1-1IsProjGrpElWithFrobRep 5.1-2IsProjGrpElWithFrobWithPSIsom 5.1-1IsProjGrpElWithFrobWithPSIsom 5.1-6IsProjGrpElWithFrobWithPSIsomRep 5.1-2IsPseudoPolarityOfProjectiveSpace 6.2-8IsResiduallyConnected 13.1-18IsStrictlySemilinear 5.1-5IsSubspaceOfClassicalPolarSpace 3.2-1IsSubspaceOfProjectiveSpace 3.2-1IsSubspacesOfClassicalPolarSpace 3.2-5IsSubspacesOfProjectiveSpace 3.2-5IsSymplecticPolarityOfProjectiveSpace 6.2-6IsThickGeometry 13.1-15IsThinGeometry 13.1-16IsVectorSpaceTransversal 9.6-1IsWeakGeneralisedPolygon 12.1-3Iterator 11.1-5Iterator 3.5-1Iterator 4.4-1Iterator 7.8-4Iterator 9.4-1KantorFamilyByqClan 12.6-10KantorKnuthqClan 12.6-9KantorMonomialqClan 12.6-9KleinCorrespondence 10.3-2KleinCorrespondence 10.3-2KleinCorrespondence 10.3-2KleinCorrespondence 10.3-2KleinCorrespondence 10.3-3KleinCorrespondence 10.3-3KleinCorrespondenceExtended 10.3-4KleinCorrespondenceExtended 10.3-4LinearqClan 12.6-9Lines 12.4-1Lines 12.4-7Lines 3.2-8Lines 3.4-5Lines 3.4-5Lines 4.2-5Lines 4.3-4Lines 4.3-4Lines 9.2-3List 3.5-3List 4.4-3List 7.8-2MatrixOfCollineation 5.3-2MatrixOfCorrelation 5.3-3Meet 12.4-6Meet 12.5-9Meet 4.2-17Meet 4.2-17Meet 7.5-3Meet 9.2-8NaturalDuality 10.3-5NaturalDuality 10.3-5NaturalDuality 10.3-5NaturalDuality 10.3-5NaturalEmbeddingByFieldReduction 10.4-5NaturalEmbeddingByFieldReduction 10.4-5NaturalEmbeddingByFieldReduction 10.4-5NaturalEmbeddingByFieldReduction 10.4-5NaturalEmbeddingByFieldReduction 10.5-4NaturalEmbeddingByFieldReduction 10.5-4NaturalEmbeddingByFieldReduction 10.5-4NaturalEmbeddingByFieldReduction 10.5-4NaturalEmbeddingByFieldReduction 10.5-4NaturalEmbeddingByFieldReduction 10.5-4NaturalEmbeddingByFieldReduction 10.5-5NaturalEmbeddingByFieldReduction 10.5-5NaturalEmbeddingBySubField 10.4-2NaturalEmbeddingBySubField 10.4-2NaturalEmbeddingBySubField 10.5-2NaturalEmbeddingBySubField 10.5-2NaturalEmbeddingBySubspace 10.4-1NaturalEmbeddingBySubspace 10.5-1NaturalEmbeddingBySubspaceNC C.3-4NaturalProjectionBySubspace 10.6-1NaturalProjectionBySubspaceNC C.3-5NiceMonomorphism 5.10-1NiceMonomorphism 8.3-3NiceMonomorphismByDomain 5.10-5NiceMonomorphismByOrbit 5.10-6NiceObject 5.10-2NiceObject 8.3-4NrElementsOfIncidenceStructure 3.2-9NrElementsOfIncidenceStructure 3.2-9ObjectToElement 12.4-3ObjectToElement 12.4-3ObjectToElement 12.5-6ObjectToElement 12.6-17ObjectToElement 12.6-17ObjectToElement 12.6-5ObjectToElement 12.6-5ObjectToElement 3.2-4OnAffineSpaces 9.5-3OnCosetGeometryElement 13.1-11OnKantorFamily 12.6-6OnProjSubspaces 5.8-1OnProjSubspaces 8.3-1OnProjSubspacesExtended 5.8-3OnProjSubspacesExtended 8.3-1OnSetsProjSubspaces 8.3-1Order 12.3-1Order 5.3-7ParabolicQuadric 7.2-3ParabolicQuadric 7.2-3ParabolicSubgroups 13.1-4ParallelClass 9.2-10ParallelClass 9.2-10PG 4.1-2Planes 3.2-8Planes 3.4-5Planes 3.4-5Planes 4.2-5Planes 4.3-4Planes 4.3-4Planes 9.2-3PluckerCoordinates 10.3-1PluckerCoordinates C.3-1Points 11.1-4Points 11.6-2Points 11.7-2Points 11.8-2Points 12.4-1Points 12.4-7Points 3.2-8Points 3.4-5Points 3.4-5Points 4.2-5Points 4.3-4Points 4.3-4Points 9.2-3PointsOfAlgebraicVariety 11.1-4PointsOfGrassmannVariety 11.8-2PointsOfSegreVariety 11.6-2PointsOfVeroneseVariety 11.7-2PolarityOfProjectiveSpace 6.1-1PolarityOfProjectiveSpace 6.1-2PolarityOfProjectiveSpace 6.1-3PolarityOfProjectiveSpace 6.1-4PolarityOfProjectiveSpace 7.5-5PolarSpace 11.3-5PolarSpace 6.3-3PolarSpace 7.1-2PolarSpace 7.1-2Pole 7.5-8ProjectiveCompletion 10.7-1ProjectiveDimension 3.6-4ProjectiveDimension 4.1-3ProjectiveDimension 4.2-3ProjectiveDimension 7.3-3ProjectiveDimension 7.4-3ProjectiveElationGroup 5.9-2ProjectiveElationGroup 5.9-2ProjectiveHomologyGroup 5.9-4ProjectiveSemilinearMap 5.2-3ProjectiveSpace 4.1-2ProjectiveSpace 4.1-2ProjectiveSpaceIsomorphism 5.3-6ProjectiveVariety 11.2-1ProjectiveVariety 11.2-1Projectivity 5.2-1Projectivity 5.2-1ProjectivityGroup 5.4-1qClan 12.6-8QuadraticForm 11.3-3QuadraticFormFieldReduction C.2-1QuadraticFormFieldReduction C.2-1QuadraticVariety 11.3-2QuadraticVariety 11.3-2QuadraticVariety 11.3-2QuadraticVariety 11.3-2QuadraticVariety 11.3-2QuadraticVariety 11.3-2Random 3.2-10Random 4.2-14RandomChamber 13.1-9RandomElement 13.1-7RandomFlag 13.1-8RandomSubspace 4.2-15RandomSubspace 4.2-15Range 11.5-2Rank 3.1-7Rank 3.3-5Rank 4.1-3Rank 7.3-4Rank 9.1-3Rank2Parameters 13.1-27RankAttr 3.1-7Representative 5.3-1ResidueOfFlag 13.1-22ResidueOfFlag 3.4-4Rk2GeoDiameter 13.1-25Rk2GeoGonality 13.1-24SegreMap 11.6-3SegreMap 11.6-3SegreMap 11.6-3SegreMap 11.6-3SegreMap 11.6-3SegreMap 11.6-3SegreVariety 11.6-1SegreVariety 11.6-1SegreVariety 11.6-1SegreVariety 11.6-1SegreVariety 11.6-1SelfDuality 10.3-6SelfDuality 10.3-6SesquilinearForm 11.3-4SesquilinearForm 6.2-1SetParent 8.3-6ShadowOfElement 12.4-7ShadowOfElement 3.4-1ShadowOfElement 3.4-1ShadowOfElement 4.3-1ShadowOfElement 4.3-1ShadowOfElement 7.6-1ShadowOfElement 7.6-1ShadowOfElement 9.3-1ShadowOfFlag 3.4-3ShadowOfFlag 3.4-3ShadowOfFlag 3.4-3ShadowOfFlag 3.4-3ShadowOfFlag 4.3-2ShadowOfFlag 4.3-2ShadowOfFlag 9.3-2ShrinkMat C.1-2ShrinkMat C.1-2ShrinkVec C.1-1ShrinkVec C.1-1SimilarityGroup 7.7-3Size 12.4-2Size 3.3-6SOdesargues B.2-1Solids 3.2-8Solids 3.4-5Solids 3.4-5Solids 4.2-5Solids 4.3-4Solids 4.3-4Solids 9.2-3Source 11.5-1Source 11.6-4Source 11.7-4Source 11.8-4Span 12.4-5Span 12.5-9Span 4.2-16Span 4.2-16Span 7.5-2Span 9.2-7Spdesargues B.2-5SpecialHomographyGroup 5.4-3SpecialIsometryGroup 7.7-1SpecialProjectivityGroup 5.4-3SplitCayleyHexagon 12.5-3SplitCayleyHexagon 12.5-3SplitCayleyHexagon 12.5-3StandardDualityOfProjectiveSpace 5.2-5StandardFlagOfCosetGeometry 13.1-19StandardFrame 4.2-7StandardPolarSpace 7.2-8StandardPolarSpace 7.2-8SUdesargues B.2-3SymplecticSpace 7.2-1SymplecticSpace 7.2-1TangentSpace 7.5-7TangentSpace 7.5-7TwistedTrialityHexagon 12.5-4TwistedTrialityHexagon 12.5-4TwistedTrialityHexagon 12.5-4Type 3.2-3Type 3.3-8TypeOfSubspace 7.5-6TypesOfElementsOfIncidenceStructure 3.1-6TypesOfElementsOfIncidenceStructurePlural 3.1-6UnderlyingObject 12.4-3UnderlyingObject 12.5-7UnderlyingObject 12.6-17UnderlyingObject 12.6-5UnderlyingObject 3.2-2UnderlyingObject 3.7-2UnderlyingVectorSpace 3.6-3UnderlyingVectorSpace 4.1-5UnderlyingVectorSpace 7.3-1UnderlyingVectorSpace 9.1-5VectorSpaceToElement 12.5-5VectorSpaceToElement 3.7-1VectorSpaceToElement 3.7-1VectorSpaceToElement 4.2-1VectorSpaceToElement 7.4-1VectorSpaceTransversal 9.6-2VectorSpaceTransversalElement 9.6-3VeroneseMap 11.7-3VeroneseMap 11.7-3VeroneseMap 11.7-3VeroneseMap 11.7-3VeroneseVariety 11.7-1VeroneseVariety 11.7-1VeroneseVariety 11.7-1
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