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class="pkg" >FinInG</strong > <a href="chap1.html#X7EEBA9577BA68BA6" >1 .4 </a> <br />code class="func" >\*</code > <a href="chap3.html#X7A9ED8327C40B445" >3 .2 -11 </a> <a href="chap4.html#X7904128479BDFCC9" >4 .2 -6 </a> <a href="chap7.html#X7904128479BDFCC9" >7 .5 -1 </a> <a href="chap9.html#X7904128479BDFCC9" >9 .2 -4 </a> <a href="chap12.html#X83B0FA9E7AE3DF01" >12 .4 -4 </a> <br />code class="func" >\^</code > <a href="chap5.html#X7D21FB1A7D21FB1A" >5 .7 -1 </a> <a href="chap7.html#X808AB7B9840ABC27" >7 .5 -9 </a> <a href="chap7.html#X808AB7B9840ABC27" >7 .5 -9 </a> <a href="chap9.html#X7E819F357EEEF31C" >9 .5 -3 </a> <a href="chap11.html#X7D21FB1A7D21FB1A" >11 .5 -5 </a> <a href="chap13.html#X7D21FB1A7D21FB1A" >13 .1 -12 </a> <a href="chap13.html#X7D21FB1A7D21FB1A" >13 1 -13 </a> <br />code class="func" >\in</code > <a href="chap3.html#X87BDB89B7AAFE8AD" >3 .7 -3 </a> <a href="chap4.html#X7904128479BDFCC9" >4 .2 -6 </a> <a href="chap7.html#X7904128479BDFCC9" >7 .5 -1 </a> <a href="chap9.html#X7904128479BDFCC9" >9 .2 -4 </a> <a href="chap11.html#X87BDB89B7AAFE8AD" >11 .1 -6 </a> <a href="chap11.html#X87BDB89B7AAFE8AD" >11 .1 -6 </a> <a href="chap12.html#X87BDB89B7AAFE8AD" >12 5 -8 </a> <br />code class="func" >AbsolutePoints</code > <a href="chap6.html#X8686AB4D798970BC" >6 .3 -2 </a> <br />code class="func" >Action</code > <a href="chap8.html#X8474367181BB501E" >8 .3 -2 </a> <br />code class="func" >ActionHomomorphism</code > <a href="chap8.html#X8474367181BB501E" >8 .3 -2 </a> <br />code class="func" >ActionOnAllProjPoints</code > <a href="chap5.html#X798053D47D8187EC" >5 .8 2 </a> <br />code class="func" >AffineGroup</code > <a href="chap9.html#X8388486C80D0991D" >9 .5 -1 </a> <br />code class="func" >AffineSpace</code > <a href="chap9.html#X87C360337E16E6CC" >9 .1 -2 </a> <a href="chap9.html#X87C360337E16E6CC" >9 .1 -2 </a> <br />code class="func" >AffineSubspace</code > <a href="chap9.html#X82DE73E884CF8172" >9 .2 -1 </a> <a href="chap9.html#X82DE73E884CF8172" >9 .2 -1 </a> <br />code class="func" >AffineVariety</code > <a href="chap11.html#X7A0D03A37AEF48B3" >11 .4 -1 </a> <a href="chap11.html#X7A0D03A37AEF48B3" >11 .4 -1 </a> <br />code class="func" >AG</code > <a href="chap9.html#X87C360337E16E6CC" >9 .1 -2 </a> <a href="chap9.html#X87C360337E16E6CC" >9 .1 -2 </a> <br />code class="func" >AlgebraicVariety</code > <a href="chap11.html#X85B05D0385B6032A" >11 .1 -1 </a> <a href="chap11.html#X85B05D0385B6032A" >11 .1 -1 </a> <a href="chap11.html#X83D5414481C9E1D0" >11 .2 -1 </a> <a href="chap11.html#X83D5414481C9E1D0" >11 .2 -1 </a> <a href="chap11.html#X7A0D03A37AEF48B3" >11 .4 -1 </a> <a href="chap11.html#X7A0D03A37AEF48B3" >11 .4 -1 </a> <br />code class="func" >AmbientGeometry</code > <a href="chap3.html#X799DB77886B8ABDB" >3 .2 -12 </a> <a href="chap3.html#X799DB77886B8ABDB" >3 .3 -7 </a> <a href="chap14.html#X799DB77886B8ABDB" >14 .4 -3 </a> <br />code class="func" >AmbientGroup</code > <a href="chap13.html#X824D5D558425B4B5" >13 .1 -5 </a> <br />code class="func" >AmbientSpace</code > <a href="chap3.html#X8606750A8586DF8D" >3 .6 -2 </a> <a href="chap4.html#X8606750A8586DF8D" >4 .1 -6 </a> <a href="chap4.html#X8606750A8586DF8D" >4 .2 -12 </a> <a href="chap7.html#X8606750A8586DF8D" >7 .3 -2 </a> <a href="chap7.html#X8606750A8586DF8D" >7 4 -5 </a> <a href="chap9.html#X8606750A8586DF8D" >9 .1 -6 </a> <a href="chap9.html#X8606750A8586DF8D" >9 .2 -5 </a> <a href="chap11.html#X8606750A8586DF8D" >11 .1 -3 </a> <a href="chap14.html#X8058FF3479158445" >14 .3 -1 </a> <br />code class="func" >AsList</code > <a href="chap3.html#X8289FCCC8274C89D" >3 .5 -4 </a> <a href="chap4.html#X7EBA57FC7CCF8449" >4 .4 -3 </a> <a href="chap7.html#X8289FCCC8274C89D" >7 .8 -5 </a> <br />code class="func" >AutGroupIncidenceStructureWithNauty</code > <a href="chap13.html#X833D384D7B061881" >13 .2 -1 </a> <br />code class="func" >BaseField</code > <a href="chap4.html#X7BCBA564829D9E89" >4 .1 -4 </a> <a href="chap4.html#X7BCBA564829D9E89" >4 .2 -13 </a> <a href="chap5.html#X7BCBA564829D9E89" >5 .3 -4 </a> <a href="chap5.html#X7BCBA564829D9E89" >5 .5 -1 </a> <a href="chap6.html#X7BCBA564829D9E89" >6 .2 -2 </a> <a href="chap7.html#X7BCBA564829D9E89" >7 .3 -5 </a> <a href="chap9.html#X7BCBA564829D9E89" >9 .1 -4 </a> <a href="chap9.html#X7BCBA564829D9E89" >9 .2 -6 </a> <a href="chap14.html#X85437D577DE97AEF" >14 .3 -4 </a> <br />code class="func" >BasePointOfEGQ</code > <a href="chap12.html#X80C93974807A342B" >12 .6 -5 </a> <br code class="func" >BilinearFormFieldReduction</code > <a href="chapC.html#X8181A7B478A3E86D" >C.2 -2 </a> <a href="chapC.html#X8181A7B478A3E86D" >C.2 -2 </a> <br />code class="func" >BlockDesignOfGeneralisedPolygon</code > <a href="chap12.html#X7D75521986B958DA" >12 .3 -7 </a> <br />code class="func" >BlownUpProjectiveSpace</code > <a href="chapC.html#X787FC91D7A92BD96" >C.1 -3 </a> <br />code class="func" >BlownUpProjectiveSpaceBySubfield</code > <a href="chapC.html#X84CD51327DD6120A" >C.1 -4 </a> <br />code class="func" >BlownUpSubspaceOfProjectiveSpace</code > <a href="chap10.html#X7F84986879DD952A" >10 .4 -4 </a> <a href="chapC.html#X7F84986879DD952A" >C.1 -5 </a> <a href="chapC.html#X7F84986879DD952A" >C.1 -5 </a> <br />code class="func" >BlownUpSubspaceOfProjectiveSpaceBySubfield</code > <a href="chapC.html#X7B0BD62A86C9E432" >C.1 -6 </a> <br />code class="func" >BLTSetByqClan</code > <a href="chap12.html#X7ECC1871866AC286" >12 .6 -14 </a> <br code class="func" >Borelsubgroup</code > <a href="chap13.html#X7E5B687E86068196" >13 .1 -6 </a> <br />code class="func" >CanComputeActionOnPoints</code > <a href="chap5.html#X7B102DAE7E0CCF47" >5 .10 -4 </a> <br />code class="func" >CanonicalGramMatrix</code > <a href="chapB.html#X80010BA38266701F" >B.1 -1 br />code class="func" >CanonicalPolarSpace</code > <a href="chap7.html#X8240380A7F8B6EC3" >7 .2 -7 "chap7.html#X8240380A7F8B6EC3" >7 .2 -7 </a> <br />code class="func" >CanonicalQuadraticForm</code > <a href="chapB.html#X83A532A17828B887" >B.1 -2 </a> <br />code class="func" >CanonicalResidueOfFlag</code > <a href="chap13.html#X7F3A2B47833EA22F" >13 1 -21 </a> <br />code class="func" >CanonicalSubgeometryOfProjectiveSpace</code > <a href="chap14.html#X8204DC137E1B54B6" >14 .2 -1 </a> <a href="chap14.html#X8204DC137E1B54B6" >14 .2 -1 </a> <br />code class="func" >Collineation</code > <a href="chap5.html#X7AB452B2781EF128" >5 .2 -2 </a> <a href="chap5.html#X7AB452B2781EF128" >5 .2 -2 </a> <br />code class="func" >CollineationAction</code > <a href="chap12.html#X8074EDB381D97984" >12 .3 -6 </a> <a href="chap12.html#X7DCD7EAB839BD97F" >12 .6 -6 </a> <br />code class="func" >CollineationFixingSubgeometry</code > <a href="chap14.html#X8550F38F7FB123DB" >14 .3 -5 </a> <br />code class="func" >CollineationGroup</code > <a href="chap5.html#X83FF6FA0790D5747" >5 .4 -2 </a> <a href="chap7.html#X83FF6FA0790D5747" >7 .7 -4 </a> <a href="chap9.html#X83FF6FA0790D5747" >9 .5 -2 </a> <a href="chap12.html#X83FF6FA0790D5747" >12 .3 -5 </a> <a href="chap12.html#X83FF6FA0790D5747" >12 .5 -10 </a> <a href="chap14.html#X78F858C8863C7721" >14 .5 -1 </a> <br />code class="func" >CollineationOfProjectiveSpace</code > <a href="chap5.html#X7AB452B2781EF128" >5 .2 -2 </a> <a href="chap5.html#X7AB452B2781EF128" >5 .2 -2 </a> <a href="chap5.html#X7AB452B2781EF128" >5 .2 -2 </a> <a href="chap5.html#X7AB452B2781EF128" >5 .2 -2 </a> <a href="chap5.html#X7AB452B2781EF128" >5 .2 -2 </a> <a href="chap5.html#X7AB452B2781EF128" >5 .2 -2 </a> <br />code class="func" >CollineationSubgroup</code > <a href="chap12.html#X7C57B0BD7A2E5877" >12 .6 -18 </a> <br />code class="func" >CompanionAutomorphism</code > <a href="chap6.html#X7C55F56E7E34768B" >6 .2 4 </a> <br />code class="func" >ComplementSpace</code > <a href="chap9.html#X8292D00E82069C27" >9 .6 -4 </a> <br />code class="func" >Coordinates</code > <a href="chap4.html#X84E3985A8700B302" >4 .2 -8 </a> <a href="chap7.html#X84E3985A8700B302" >7 .4 -6 </a> <br />code class="func" >CorGroupIncidenceStructureWithNauty</code > <a href="chap13.html#X85260FB17EACF6F5" >13 .2 -2 </a> <br />code class="func" >Correlation</code > <a href="chap5.html#X78BBC4E27B2E06D6" >5 .2 -6 </a> <br />code class="func" >CorrelationCollineationGroup</code > <a href="chap5.html#X81444EF57E228232" >5 .4 -6 </a> <br />code class="func" >CorrelationOfProjectiveSpace</code > <a href="chap5.html#X78BBC4E27B2E06D6" >5 .2 -6 </a> <a href="chap5.html#X78BBC4E27B2E06D6" >5 .2 -6 </a> <a href="chap5.html#X78BBC4E27B2E06D6" >5 .2 -6 </a> <a href="chap5.html#X78BBC4E27B2E06D6" >5 .2 -6 </a> <a href="chap5.html#X78BBC4E27B2E06D6" >5 .2 -6 </a> <br />code class="func" >CosetGeometry</code > <a href="chap13.html#X86C97C4780C27E6F" >13 .1 -2 </a> <br />code class="func" >DefiningFrameOfSubgeometry</code > <a href="chap14.html#X7DC6B3E57C74A153" >14 .3 -2 </a> <br />code class="func" >DefiningListOfPolynomials</code > <a href="chap11.html#X7D9C2FA47BCDEBDB" >11 .1 -2 </a> <br />code class="func" >DefiningPlanesOfEGQByBLTSet</code > <a href="chap12.html#X79186E29799355BD" >12 .6 -16 </a> <br />code class="func" >DeltaOminus</code > <a href="chapB.html#X7D2C49FD7D15988C" >B.2 -9 </a> <br />code class="func" >DeltaOplus</code > <a href="chapB.html#X82DF70F5873432C7" >B.2 -10 </a> <br />code class="func" >DiagramOfGeometry</code > <a href="chap13.html#X8239310E79D3DE12" >13 .3 -1 br />code class="func" >Dimension</code > <a href="chap4.html#X84FDF25D797B874B" >4 .1 -3 </a> <a href="chap5.html#X7E6926C6850E7C4E" >5 .5 -2 </a> <a href="chap7.html#X84FDF25D797B874B" >7 .3 -3 </a> <a href="chap7.html#X84FDF25D797B874B" >7 .4 -3 </a> <a href="chap9.html#X7E6926C6850E7C4E" >9 .1 -3 "chap14.html#X79CC2F0483575105" >14 .3 -3 </a> <br />code class="func" >DistanceBetweenElements</code > <a href="chap12.html#X7807682E86D3BE10" >12 .4 -8 </a> <br />code class="func" >DrawDiagram</code > <a href="chap13.html#X808A503579A155BF" >13 .3 -3 </a> <a href="chap13.html#X808A503579A155BF" >13 .3 -3 </a> <a href="chap13.html#X808A503579A155BF" >13 .3 -3 </a> <br />code class="func" >DrawDiagramWithNeato</code > <a href="chap13.html#X79F882017FEFE4DE" >13 .3 -4 </a> <br />code class="func" >DualCoordinatesOfHyperplane</code > <a href="chap4.html#X7CE4FD76820B503A" >4 .2 -9 </a> <br />code class="func" >EGQByBLTSet</code > <a href="chap12.html#X84700DDF80B39332" >12 .6 -15 </a> <br />code class="func" >EGQByKantorFamily</code > <a href="chap12.html#X7B80E3AC7DEAF948" >12 .6 -4 br />code class="func" >EGQByqClan</code > <a href="chap12.html#X830222B084BF866D" >12 .6 -11 </a> <br />code class="func" >ElationGroup</code > <a href="chap12.html#X7DCD7EAB839BD97F" >12 .6 -6 </a> <br />code class="func" >ElationOfProjectiveSpace</code > <a href="chap5.html#X86FF1DDE8356E966" >5 .9 -1 </a> <br />code class="func" >ElementsIncidentWithElementOfIncidenceStructure</code > <a href="chap3.html#X81A8365A7FE68447" >3 .4 -2 </a> <a href="chap4.html#X81A8365A7FE68447" >4 .3 -3 </a> <a href="chap7.html#X81A8365A7FE68447" >7 .6 -2 </a> <a href="chap12.html#X8154BB13844AA0FD" >12 .4 -7 </a> <br code class="func" >ElementsOfFlag</code > <a href="chap3.html#X86FFFBC584B97371" >3 .3 -4 </a> <br />code class="func" >ElementsOfIncidenceStructure</code > <a href="chap3.html#X87657AEF7E2C50F9" >3 .2 -6 </a> <a href="chap3.html#X87657AEF7E2C50F9" >3 .2 -6 </a> <a href="chap3.html#X87657AEF7E2C50F9" >3 .2 -7 </a> <a href="chap4.html#X87657AEF7E2C50F9" >4 .2 -4 </a> <a href="chap7.html#X87657AEF7E2C50F9" >7 .4 -4 </a> <a href="chap9.html#X87657AEF7E2C50F9" >9 .2 -2 </a> <br />code class="func" >ElementsOfIncidencStructure</code > <a href="chap12.html#X7E7607CA7D59D086" >12 .4 -1 </a> <br />code class="func" >ElementToElement</code > <a href="chap3.html#X8561C0117FD76C94" >3 .8 -1 </a> <br code class="func" >EllipticQuadric</code > <a href="chap7.html#X85EEF70480D7149E" >7 .2 -5 </a> <a href="chap7.html#X85EEF70480D7149E" >7 .2 -5 </a> <br />code class="func" >Embed </code > <a href="chap3.html#X8561C0117FD76C94" >3 .8 -1 </a> <br />code class="func" >Embedding</code > <a href="chap5.html#X86452F8587CBAEA0" >5 .6 -1 </a> <br />code class="func" >EmptySubspace</code > <a href="chap4.html#X8461BCEF862B9A7B" >4 .2 -2 </a> <a href="chap7.html#X8461BCEF862B9A7B" >7 .4 -2 </a> <br />code class="func" >Enumerator</code > <a href="chap3.html#X7EF8910F82B45EC7" >3 .5 -2 </a> <a href="chap4.html#X7EF8910F82B45EC7" 4 .4 -2 </a> <a href="chap7.html#X7EF8910F82B45EC7" >7 .8 -2 </a> <a href="chap9.html#X7EF8910F82B45EC7" >9 .4 -2 </a> <br />code class="func" >EquationOfHyperplane</code > <a href="chap4.html#X801A95907B13F447" >4 .2 -11 </a> <br />code class="func" >EvaluateForm</code > <a href="chap7.html#X808AB7B9840ABC27" >7 .5 -9 </a> <a href="chap7.html#X808AB7B9840ABC27" >7 .5 -9 </a> <br />code class="func" >ExtendElementOfSubgeometry</code > <a href="chap14.html#X78219A547B858E2E" >14 .4 -2 </a> <br />code class="func" >FieldAutomorphism</code > <a href="chap5.html#X7B60C4257C46ED4B" >5 .3 -5 </a> <br />code class="func" >FindBasePointCandidates</code > <a href="chapB.html#X814A0FEE7B677BF7" >B.3 -1 </a> <br />code class="func" >FINING</code > <a href="chap5.html#X7CE11961817B311C" >5 .10 -3 </a> <br />code class="func" >FiningOrbit</code > <a href="chap8.html#X7CF168A0818C553D" >8 .1 -1 </a> <br />code class="func" >FiningOrbits</code > <a href="chap8.html#X827CD5727A7DA4A3" >8 .1 -2 </a> <a href="chap8.html#X827CD5727A7DA4A3" >8 .1 -2 </a> <br />code class="func" >FiningOrbitsDomain</code > <a href="chap8.html#X822D1CFF7DDC11D7" >8 .1 -3 </a> <br />code class="func" >FiningSetwiseStabiliser</code > <a href="chap8.html#X7929900F79B6000C" >8 2 -3 </a> <br />code class="func" >FiningStabiliser</code > <a href="chap8.html#X83B7F30F81A0BCE3" >8 .2 -1 </a> <br code class="func" >FiningStabiliserOrb</code > <a href="chap8.html#X854826AC7DA9FB6B" >8 .2 -2 br />code class="func" >FisherqClan</code > <a href="chap12.html#X858A1EA8843BEC13" >12 .6 -9 </a> <br />code class="func" >FisherThasWalkerKantorBettenqClan</code > <a href="chap12.html#X858A1EA8843BEC13" >12 .6 -9 </a> <br />code class="func" >FlagOfIncidenceStructure</code > <a href="chap3.html#X7E204A78815C46DD" >3 .3 -1 </a> <a href="chap4.html#X7E204A78815C46DD" >4 .2 -18 </a> <a href="chap14.html#X7B1757048405DD29" >14 .4 -4 </a> <br />code class="func" >FlagToStandardFlag</code > <a href="chap13.html#X875E89FF7ECD44A6" >13 .1 -20 </a> <br />code class="func" >G2fining</code > <a href="chapB.html#X7A171F11786F771C" >B.2 -15 </a> <br />code class="func" >GammaO</code > <a href="chapB.html#X7A9C29DB84B4A97E" >B.2 -12 </a> <br />code class="func" >GammaOminus</code > <a href="chapB.html#X8364267E800EF6E5" >B.2 -11 </a> <br />code class="func" >GammaOplus</code > <a href="chapB.html#X7A5C03CD7A2F5CAE" >B.2 -13 </a> <br />code class="func" >GammaSp</code > <a href="chapB.html#X793B43C58481EDCF" >B.2 -8 </a> <br />code class="func" >GammaU</code > <a href="chapB.html#X854A064C7E907B61" >B.2 -14 </a> <br />code class="func" >GeneralisedPolygonByBlocks</code > <a href="chap12.html#X849A83597CC78B5F" >12 .2 -1 </a> <br />code class="func" >GeneralisedPolygonByElements</code > <a href="chap12.html#X7A6169127CE8ABC0" >12 .2 -3 </a> <a href="chap12.html#X7A6169127CE8ABC0" >12 .2 -3 </a> <br />code class="func" >GeneralisedPolygonByIncidenceMatrix</code > <a href="chap12.html#X8751B0FB8500D0B1" >12 .2 -2 </a> <br />code class="func" >GeneralSymplecticGroup</code > <a href="chapB.html#X7E1CDB2B87448665" >B.2 -6 </a> <br />code class="func" >GeometryOfAbsolutePoints</code > <a href="chap6.html#X81C291357E5B2408" >6 .3 -1 </a> <br />code class="func" >GeometryOfDiagram</code > <a href="chap13.html#X7A2783337F87104F" >13 .3 -2 br />code class="func" >GeometryOfRank2Residue</code > <a href="chap13.html#X8327F4A481DD6DEB" >13 1 -26 </a> <br />code class="func" >GOdesargues</code > <a href="chapB.html#X7C5583F87F904567" >B.2 -2 </a> <br />code class="func" >GramMatrix</code > <a href="chap6.html#X847AFB4C81A90B3F" >6 .2 -3 </a> <br />code class="func" >GrassmannMap</code > <a href="chap11.html#X7C6ED0B284833878" >11 .8 -3 </a> <a href="chap11.html#X7C6ED0B284833878" >11 .8 -3 </a> <a href="chap11.html#X7C6ED0B284833878" >11 .8 -3 </a> <a href="chap11.html#X7C6ED0B284833878" >11 .8 -3 </a> <br />code class="func" >GrassmannVariety</code > <a href="chap11.html#X81872E5D843373C8" >11 .8 -1 </a> <a href="chap11.html#X81872E5D843373C8" >11 .8 -1 </a> <a href="chap11.html#X81872E5D843373C8" >11 .8 -1 </a> <br />code class="func" >GSpdesargues</code > <a href="chapB.html#X7BDD39DC823F7E33" >B.2 -7 </a> <br />code class="func" >GUdesargues</code > <a href="chapB.html#X7F5D42EA84929ACA" >B.2 -4 </a> <br />code class="func" >HermitianFormFieldReduction</code > <a href="chapC.html#X8785505B7E4C4E7D" >C.2 -3 </a> <a href="chapC.html#X8785505B7E4C4E7D" >C.2 -3 </a> <br />code class="func" >HermitianPolarityOfProjectiveSpace</code > <a href="chap6.html#X7EBD8C07802562B7" >6 .1 -2 </a> <br />code class="func" >HermitianPolarSpace</code > <a href="chap7.html#X7A8CF840833D3D8B" >7 .2 -2 "chap7.html#X7A8CF840833D3D8B" >7 .2 -2 </a> <br />code class="func" >HermitianVariety</code > <a href="chap11.html#X7E233D1979CEB18B" >11 .3 -1 </a> <a href="chap11.html#X7E233D1979CEB18B" >11 .3 -1 </a> <a href="chap11.html#X7E233D1979CEB18B" >11 .3 -1 </a> <a href="chap11.html#X7E233D1979CEB18B" >11 .3 -1 </a> <br />code class="func" >HomographyGroup</code > <a href="chap5.html#X850A954887CA9A55" >5 .4 -1 </a> <br />code class="func" >HomologyOfProjectiveSpace</code > <a href="chap5.html#X86319DCD7AF98E28" >5 .9 -3 </a> <br />code class="func" >HyperbolicQuadric</code > <a href="chap7.html#X7CF248A2864BCD8F" >7 .2 -4 </a> <a href="chap7.html#X7CF248A2864BCD8F" >7 .2 -4 </a> <br />code class="func" >HyperplaneByDualCoordinates</code > <a href="chap4.html#X86628227863989E5" >4 .2 -10 </a> <br />code class="func" >Hyperplanes</code > <a href="chap3.html#X814C3AC27E49AD5B" >3 .7 -4 </a> <a href="chap3.html#X814C3AC27E49AD5B" >3 .7 -4 </a> <a href="chap4.html#X87E64DA67C3D6661" >4 .2 -5 </a> <a href="chap4.html#X7E29C31D7CB5DB23" >4 .3 -4 </a> <a href="chap4.html#X7E29C31D7CB5DB23" >4 .3 4 </a> <a href="chap9.html#X87E64DA67C3D6661" >9 .2 -3 </a> <br />code class="func" >IdentityMappingOfElementsOfProjectiveSpace</code > <a href="chap5.html#X80649C427E3BCBFF" >5 .2 -4 </a> <br />code class="func" >ImageElm</code > <a href="chap11.html#X7CFAB0157BFB1806" >11 .5 -3 </a> <br />code class="func" >ImagesSet</code > <a href="chap11.html#X8781348F7F5796A0" >11 .5 -4 </a> <br />code class="func" >IncidenceGraph</code > <a href="chap3.html#X815BE6D57D623452" >3 .1 -8 </a> <a href="chap12.html#X815BE6D57D623452" >12 .3 -3 </a> <a href="chap13.html#X815BE6D57D623452" >13 .1 -23 </a> <br />code class="func" >IncidenceGraphAttr</code > <a href="chap12.html#X836C15B57968A511" >12 .3 -2 </a> <br />code class="func" >IncidenceMatrixOfGeneralisedPolygon</code > <a href="chap12.html#X81F531BB7DEA127D" >12 .3 -4 </a> <br />code class="func" >IncidenceStructure</code > <a href="chap3.html#X7C3258887C8DF5C1" >3 .1 -3 </a> <br />code class="func" >Intertwiner</code > <a href="chap10.html#X86E0B2117DD536D2" >10 .1 -2 </a> <br />code class="func" >InversePluckerCoordinates</code > <a href="chapC.html#X7C8E719883F407BB" >C.3 -1 </a> <br />code class="func" >IsAffineSpace</code > <a href="chap3.html#X7B0347E2863C1E8C" >3 .1 -4 </a> <a href="chap9.html#X793755BF8775B629" >9 .1 -1 </a> <br />code class="func" >IsCanonicalPolarSpace</code > <a href="chap7.html#X7F6D25D57BC697B5" >7 .2 6 </a> <br />code class="func" >IsChamberOfIncidenceStructure</code > <a href="chap3.html#X7A453E0E861F2C94" >3 .3 -2 </a> <a href="chap4.html#X7A453E0E861F2C94" >4 .2 -20 </a> <a href="chap14.html#X7B1757048405DD29" >14 .4 -4 </a> <br />code class="func" >IsClassicalGeneralisedHexagon</code > <a href="chap12.html#X7A2ABB0B818E25C5" >12 .1 -6 </a> <br />code class="func" >IsClassicalGQ</code > <a href="chap12.html#X7CF10DAE7847939D" >12 .1 -5 </a> <br />code class="func" >IsClassicalPolarSpace</code > <a href="chap3.html#X7D012B9F86E63702" >3 .6 1 </a> <a href="chap7.html#X83A92A177BE4E0BB" >7 .1 -1 </a> <br />code class="func" >IsCollinear</code > <a href="chap7.html#X8176044E7D2242D9" >7 .5 -4 </a> <br />code class="func" >IsCollineation</code > <a href="chap5.html#X7E881C237D117C6C" >5 .1 -4 </a> <br />code class="func" >IsCollineationGroup</code > <a href="chap5.html#X7B1FC1327FD85D18" >5 .4 -5 br />code class="func" >IsConnected</code > <a href="chap13.html#X877F178084D9A589" >13 .1 -17 </a> <br />code class="func" >IsCorrelation</code > <a href="chap5.html#X815B68277D0500C3" >5 .1 -6 </a> <br />code class="func" >IsCorrelationCollineation</code > <a href="chap5.html#X815B68277D0500C3" >5 .1 -6 </a> <br />code class="func" >IsCosetGeometry</code > <a href="chap3.html#X7B0347E2863C1E8C" >3 .1 -4 </a> <a href="chap13.html#X877735BF810DEAD5" >13 .1 -1 </a> <br />code class="func" >IsDesarguesianPlane</code > <a href="chap12.html#X8540C04887CF8824" >12 .1 4 </a> <br />code class="func" >IsDesarguesianSpreadElement</code > <a href="chapC.html#X87B6C4AB7C6532CE" >C.1 -7 </a> <br />code class="func" >IsEGQByBLTSet</code > <a href="chap12.html#X7A8438537D2F1374" >12 .6 -13 </a> <br code class="func" >IsEGQByKantorFamily</code > <a href="chap12.html#X7CC6903E78F24167" >12 .6 2 </a> <br />code class="func" >IsElationGQ</code > <a href="chap12.html#X7CF10DAE7847939D" >12 .1 -5 </a> <br />code class="func" >IsElementOfAffineSpace</code > <a href="chap3.html#X827CD3C881DC8364" >3 .2 -1 </a> <br />code class="func" >IsElementOfCosetGeometry</code > <a href="chap3.html#X827CD3C881DC8364" >3 .2 -1 </a> <br />code class="func" >IsElementOfGeneralisedPolygon</code > <a href="chap3.html#X827CD3C881DC8364" >3 .2 -1 </a> <br />code class="func" >IsElementOfIncidenceGeometry</code > <a href="chap3.html#X827CD3C881DC8364" >3 .2 -1 </a> <br />code class="func" >IsElementOfIncidenceStructure</code > <a href="chap3.html#X827CD3C881DC8364" >3 .2 -1 </a> <br />code class="func" >IsElementOfKantorFamily</code > <a href="chap12.html#X7CC6903E78F24167" >12 .6 -2 </a> <br />code class="func" >IsElementOfLieGeometry</code > <a href="chap3.html#X827CD3C881DC8364" >3 .2 -1 </a> <br />code class="func" >IsElementsOfAffineSpace</code > <a href="chap3.html#X7DE974E687A2ABFB" >3 2 -5 </a> <br />code class="func" >IsElementsOfCosetGeometry</code > <a href="chap3.html#X7DE974E687A2ABFB" >3 .2 -5 </a> <br />code class="func" >IsElementsOfIncidenceGeometry</code > <a href="chap3.html#X7DE974E687A2ABFB" >3 .2 -5 </a> <br />code class="func" >IsElementsOfIncidenceStructure</code > <a href="chap3.html#X7DE974E687A2ABFB" >3 .2 -5 </a> <br />code class="func" >IsElementsOfLieGeometry</code > <a href="chap3.html#X7DE974E687A2ABFB" >3 2 -5 </a> <br />code class="func" >IsEllipticQuadric</code > <a href="chap7.html#X85386DAB8056E316" >7 .3 -7 </a> <br />code class="func" >IsEmptyFlag</code > <a href="chap3.html#X7AEFC2C57F10C3A7" >3 .3 -3 </a> <a href="chap4.html#X7AEFC2C57F10C3A7" >4 .2 -19 </a> <a href="chap14.html#X7B1757048405DD29" >14 .4 -4 br />code class="func" >IsEmptySubspace</code > <a href="chap3.html#X85DFF5177CA51AE0" >3 .6 -5 </a> <br />code class="func" >IsFirmGeometry</code > <a href="chap13.html#X7F74FD648751B7E6" >13 .1 -14 </a> <br />code class="func" >IsFlagTransitiveGeometry</code > <a href="chap13.html#X7FEFCB907CAAA9B1" >13 .1 -10 </a> <br />code class="func" >IsFrameOfProjectiveSpace</code > <a href="chap14.html#X824D4BA67AE1923B" >14 .2 -3 </a> <br />code class="func" >IsGeneralisedHexagon</code > <a href="chap12.html#X832E75AE7CCC5BB2" >12 .1 -2 </a> <br />code class="func" >IsGeneralisedOctagon</code > <a href="chap12.html#X832E75AE7CCC5BB2" >12 .1 -2 </a> <br />code class="func" >IsGeneralisedPolygon</code > <a href="chap3.html#X7B0347E2863C1E8C" >3 .1 -4 </a> <a href="chap12.html#X8141DFFF7B352E2D" >12 .1 -1 </a> <br />code class="func" >IsGeneralisedPolygonRep</code > <a href="chap12.html#X8141DFFF7B352E2D" >12 .1 -1 </a> <br />code class="func" >IsGeneralisedQuadrangle</code > <a href="chap12.html#X832E75AE7CCC5BB2" >12 .1 -2 </a> <br />code class="func" >IsGeometryMorphism</code > <a href="chap10.html#X7A3BDDBE7BADCF0A" >10 .1 -1 </a> <br />code class="func" >IsHermitianPolarityOfProjectiveSpace</code > <a href="chap6.html#X7C15F40A85F167F4" >6 .2 -5 </a> <br />code class="func" >IsHyperbolicQuadric</code > <a href="chap7.html#X8412E6307ACC82C2" >7 .3 -6 br />code class="func" >IsIncidenceGeometry</code > <a href="chap3.html#X78C74BE87E050E84" >3 .1 -2 br />code class="func" >IsIncidenceStructure</code > <a href="chap3.html#X81F7D8FA82A55561" >3 .1 -1 </a> <br />code class="func" >IsIncident</code > <a href="chap3.html#X7A9ED8327C40B445" >3 .2 -11 </a> <a href="chap3.html#X7A9ED8327C40B445" >3 .3 -9 </a> <a href="chap3.html#X7A9ED8327C40B445" >3 .3 -9 </a> <a href="chap4.html#X7904128479BDFCC9" >4 .2 -6 </a> <a href="chap7.html#X7904128479BDFCC9" >7 .5 1 </a> <a href="chap9.html#X7904128479BDFCC9" >9 .2 -4 </a> <a href="chap12.html#X83B0FA9E7AE3DF01" >12 .4 -4 </a> <a href="chap13.html#X7A9ED8327C40B445" >13 .1 -3 </a> <br />code class="func" >IsIsomorphicIncidenceStructureWithNauty</code > <a href="chap13.html#X82CB6DDB8068AC42" >13 .2 -3 </a> <br />code class="func" >IsKantorFamily</code > <a href="chap12.html#X820A2D6A84A259FC" >12 .6 -3 </a> <br code class="func" >IsLieGeometry</code > <a href="chap3.html#X7B0347E2863C1E8C" >3 .1 -4 </a> <a href="chap12.html#X7C35384980AA9B77" >12 .5 -2 </a> <br />"chap7.html#X7988AF9978E75E37" >7 .7 </a> <a href="chap7.html#X7988AF9978E75E37" >7 .7 </a> <br />code class="func" >IsometryGroup</code > <a href="chap7.html#X87708229834E4C44" >7 .7 -2 </a> <br />code class="func" >IsomorphismPolarSpaces</code > <a href="chap10.html#X8774AF5B840E488D" >10 2 -1 </a> <a href="chap10.html#X8774AF5B840E488D" >10 .2 -1 </a> <br />code class="func" >IsomorphismPolarSpacesNC</code > <a href="chapC.html#X7D71512E7AC27598" >C.3 -3 </a> <a href="chapC.html#X7D71512E7AC27598" >C.3 -3 </a> <br />code class="func" >IsomorphismPolarSpacesProjectionFromNucleus</code > <a href="chapC.html#X79AF591A87EC8A2D" >C.3 -2 </a> <br />code class="func" >IsOrthogonalPolarityOfProjectiveSpace</code > <a href="chap6.html#X87FFEEAE7FC2EE41" >6 .2 -7 </a> <br />code class="func" >IsParabolicQuadric</code > <a href="chap7.html#X87ADB8B5790776C7" >7 .3 -8 </a> <br />code class="func" >IsParallel</code > <a href="chap9.html#X7FE5611C7A4C0FA2" >9 .2 -9 </a> <br />code class="func" >IsProjectivePlaneCategory</code > <a href="chap12.html#X832E75AE7CCC5BB2" >12 .1 -2 </a> <br />code class="func" >IsProjectiveSpace</code > <a href="chap3.html#X7D012B9F86E63702" >3 .6 -1 </a> <a href="chap4.html#X79B440FF7EFBA661" >4 .1 -1 </a> <br />code class="func" >IsProjectivity</code > <a href="chap5.html#X8160615081358132" >5 .1 -3 </a> <br />code class="func" >IsProjectivityGroup</code > <a href="chap5.html#X7DEA3BDA82C7B855" >5 .4 -4 br />code class="func" >IsProjGrpEl</code > <a href="chap5.html#X851186297A91C1C6" >5 .1 -1 </a> <br />code class="func" >IsProjGrpElRep</code > <a href="chap5.html#X7BBF688083857760" >5 .1 -2 </a> <br />code class="func" >IsProjGrpElWithFrob</code > <a href="chap5.html#X851186297A91C1C6" >5 .1 -1 br />code class="func" >IsProjGrpElWithFrobRep</code > <a href="chap5.html#X7BBF688083857760" >5 .1 -2 </a> <br />code class="func" >IsProjGrpElWithFrobWithPSIsom</code > <a href="chap5.html#X851186297A91C1C6" >5 .1 -1 </a> <a href="chap5.html#X815B68277D0500C3" >5 .1 -6 </a> <br />code class="func" >IsProjGrpElWithFrobWithPSIsomRep</code > <a href="chap5.html#X7BBF688083857760" >5 .1 -2 </a> <br />code class="func" >IsPseudoPolarityOfProjectiveSpace</code > <a href="chap6.html#X8372FCBC8313572F" >6 .2 -8 </a> <br />code class="func" >IsResiduallyConnected</code > <a href="chap13.html#X83A5107981824C2F" >13 .1 -18 </a> <br />code class="func" >IsStrictlySemilinear</code > <a href="chap5.html#X7B89B51F86AE2BCC" >5 .1 -5 </a> <br />code class="func" >IsSubgeometryOfProjectiveSpace</code > <a href="chap14.html#X84BB6A0D7DABB9EB" >14 .1 -1 </a> <br />code class="func" >IsSubspaceOfClassicalPolarSpace</code > <a href="chap3.html#X827CD3C881DC8364" >3 .2 -1 </a> <br />code class="func" >IsSubspaceOfProjectiveSpace</code > <a href="chap3.html#X827CD3C881DC8364" >3 .2 -1 </a> <br />code class="func" >IsSubspaceOfSubgeometryOfProjectiveSpace</code > <a href="chap14.html#X7D908542820D2FBE" >14 .1 -2 </a> <br />code class="func" >IsSubspacesOfClassicalPolarSpace</code > <a href="chap3.html#X7DE974E687A2ABFB" >3 .2 -5 </a> <br />code class="func" >IsSubspacesOfProjectiveSpace</code > <a href="chap3.html#X7DE974E687A2ABFB" >3 .2 -5 </a> <br />code class="func" >IsSubspacesOfSubgeometryOfProjectiveSpace</code > <a href="chap14.html#X7D908542820D2FBE" >14 .1 -2 </a> <br />code class="func" >IsSymplecticPolarityOfProjectiveSpace</code > <a href="chap6.html#X855077387D144CDE" >6 .2 -6 </a> <br />code class="func" >IsThickGeometry</code > <a href="chap13.html#X7F8A17357F9FFA00" >13 .1 -15 </a> <br />code class="func" >IsThinGeometry</code > <a href="chap13.html#X830213C3843A1BA2" >13 .1 -16 </a> <br />code class="func" >IsVectorSpaceTransversal</code > <a href="chap9.html#X85C1B3067C6014D2" >9 .6 -1 </a> <br />code class="func" >IsWeakGeneralisedPolygon</code > <a href="chap12.html#X86C124B3804C7569" >12 .1 -3 </a> <br />code class="func" >Iterator</code > <a href="chap3.html#X83ADF8287ED0668E" >3 .5 -1 </a> <a href="chap4.html#X83ADF8287ED0668E" >4 .4 -1 </a> <a href="chap7.html#X83ADF8287ED0668E" >7 .8 -4 </a> <a href="chap9.html#X83ADF8287ED0668E" >9 .4 -1 </a> <a href="chap11.html#X83ADF8287ED0668E" >11 .1 -5 </a> <br />code class="func" >KantorFamilyByqClan</code > <a href="chap12.html#X7C59CF8079EA33D3" >12 .6 10 </a> <br />code class="func" >KantorKnuthqClan</code > <a href="chap12.html#X858A1EA8843BEC13" >12 .6 -9 </a> <br />code class="func" >KantorMonomialqClan</code > <a href="chap12.html#X858A1EA8843BEC13" >12 .6 9 </a> <br />code class="func" >KleinCorrespondence</code > <a href="chap10.html#X7CD8E5187C5B7116" >10 .3 2 </a> <a href="chap10.html#X7CD8E5187C5B7116" >10 .3 -2 </a> <a href="chap10.html#X7CD8E5187C5B7116" >10 .3 -2 </a> <a href="chap10.html#X7CD8E5187C5B7116" >10 .3 -2 </a> <a href="chap10.html#X7CD8E5187C5B7116" >10 .3 -3 </a> <a href="chap10.html#X7CD8E5187C5B7116" >10 .3 -3 </a> <br />code class="func" >KleinCorrespondenceExtended</code > <a href="chap10.html#X7FE537C57F2F6BAA" >10 .3 -4 </a> <a href="chap10.html#X7FE537C57F2F6BAA" >10 .3 -4 </a> <br />code class="func" >LinearqClan</code > <a href="chap12.html#X858A1EA8843BEC13" >12 .6 -9 </a> <br />code class="func" >Lines</code > <a href="chap3.html#X87E64DA67C3D6661" >3 .2 -8 </a> <a href="chap3.html#X7E29C31D7CB5DB23" >3 .4 -5 </a> <a href="chap3.html#X7E29C31D7CB5DB23" >3 .4 -5 </a> <a href="chap4.html#X87E64DA67C3D6661" 4 .2 -5 </a> <a href="chap4.html#X7E29C31D7CB5DB23" >4 .3 -4 </a> <a href="chap4.html#X7E29C31D7CB5DB23" >4 .3 -4 </a> <a href="chap9.html#X87E64DA67C3D6661" >9 .2 -3 </a> <a href="chap12.html#X7E7607CA7D59D086" >12 .4 -1 </a> <a href="chap12.html#X8154BB13844AA0FD" >12 .4 -7 </a> <br />code class="func" >List</code > <a href="chap3.html#X7EBA57FC7CCF8449" >3 .5 -3 </a> <a href="chap4.html#X7EBA57FC7CCF8449" >4 .4 -3 </a> <a href="chap7.html#X7EF8910F82B45EC7" >7 .8 -2 </a> <br />code class="func" >MatrixOfCollineation</code > <a href="chap5.html#X7CA72CB07E3122F1" >5 .3 -2 </a> <br />code class="func" >MatrixOfCorrelation</code > <a href="chap5.html#X7E8B65547970F689" >5 .3 -3 br />code class="func" >Meet</code > <a href="chap4.html#X8469B54180FE1E4C" >4 .2 -17 </a> <a href="chap4.html#X8469B54180FE1E4C" >4 .2 -17 </a> <a href="chap7.html#X8469B54180FE1E4C" >7 .5 -3 </a> <a href="chap9.html#X8469B54180FE1E4C" >9 .2 -8 </a> <a href="chap12.html#X8469B54180FE1E4C" >12 .4 -6 </a> <a href="chap12.html#X7B1380878358938C" >12 .5 -9 </a> <br />code class="func" >NaturalDuality</code > <a href="chap10.html#X8472EBA584544B51" >10 .3 -5 </a> <a href="chap10.html#X8472EBA584544B51" >10 .3 -5 </a> <a href="chap10.html#X8472EBA584544B51" >10 .3 -5 </a> <a href="chap10.html#X8472EBA584544B51" >10 .3 -5 </a> <br />code class="func" >NaturalEmbeddingByFieldReduction</code > <a href="chap10.html#X7D2D9AD287532FDB" >10 .4 -5 </a> <a href="chap10.html#X7D2D9AD287532FDB" >10 .4 -5 </a> <a href="chap10.html#X7D2D9AD287532FDB" >10 .4 -5 </a> <a href="chap10.html#X7D2D9AD287532FDB" >10 .4 -5 </a> <a href="chap10.html#X7D2D9AD287532FDB" >10 .5 -4 </a> <a href="chap10.html#X7D2D9AD287532FDB" >10 .5 -4 </a> <a href="chap10.html#X7D2D9AD287532FDB" >10 .5 -4 </a> <a href="chap10.html#X7D2D9AD287532FDB" >10 .5 -4 </a> <a href="chap10.html#X7D2D9AD287532FDB" >10 .5 -4 </a> <a href="chap10.html#X7D2D9AD287532FDB" >10 .5 -4 </a> <a href="chap10.html#X7D2D9AD287532FDB" >10 .5 -5 </a> <a href="chap10.html#X7D2D9AD287532FDB" >10 .5 -5 </a> <br />code class="func" >NaturalEmbeddingBySubField</code > <a href="chap10.html#X82510EF078F0806E" >10 .4 -2 </a> <a href="chap10.html#X82510EF078F0806E" >10 .4 -2 </a> <a href="chap10.html#X82510EF078F0806E" >10 .5 -2 </a> <a href="chap10.html#X82510EF078F0806E" >10 .5 -2 </a> <br />code class="func" >NaturalEmbeddingBySubspace</code > <a href="chap10.html#X857976B679B8EC30" >10 .4 -1 </a> <a href="chap10.html#X857976B679B8EC30" >10 .5 -1 </a> <br />code class="func" >NaturalEmbeddingBySubspaceNC</code > <a href="chapC.html#X7A26E90A85017919" >C.3 -4 </a> <br />code class="func" >NaturalProjectionBySubspace</code > <a href="chap10.html#X7B9E8AB682EC07C2" >10 .6 -1 </a> <br />code class="func" >NaturalProjectionBySubspaceNC</code > <a href="chapC.html#X78CA4C227D969B22" >C.3 -5 </a> <br />code class="func" >NiceMonomorphism</code > <a href="chap5.html#X7965086E82ABCF41" >5 .10 -1 </a> <a href="chap8.html#X7965086E82ABCF41" >8 .3 -3 </a> <br />code class="func" >NiceMonomorphismByDomain</code > <a href="chap5.html#X7D8C4B657FD6F7BA" >5 .10 -5 </a> <br />code class="func" >NiceMonomorphismByOrbit</code > <a href="chap5.html#X7BCBD96786901FF9" >5 10 -6 </a> <br />code class="func" >NiceObject</code > <a href="chap5.html#X7B47BE0983E93A83" >5 .10 -2 </a> <a href="chap8.html#X7B47BE0983E93A83" >8 .3 -4 </a> <br />code class="func" >NrElementsOfIncidenceStructure</code > <a href="chap3.html#X86CF041F7FA486D6" >3 .2 -9 </a> <a href="chap3.html#X86CF041F7FA486D6" >3 .2 -9 </a> <br />code class="func" >ObjectToElement</code > <a href="chap3.html#X7809B7C183FA7213" >3 .2 -4 </a> <a href="chap12.html#X7E9B2A217DBF2849" >12 .4 -3 </a> <a href="chap12.html#X7E9B2A217DBF2849" >12 4 -3 </a> <a href="chap12.html#X7809B7C183FA7213" >12 .5 -6 </a> <a href="chap12.html#X80C93974807A342B" >12 .6 -5 </a> <a href="chap12.html#X80C93974807A342B" >12 .6 -5 </a> <a href="chap12.html#X80C93974807A342B" >12 .6 -17 </a> <a href="chap12.html#X80C93974807A342B" >12 .6 -17 </a> <br />code class="func" >OnAffineSpaces</code > <a href="chap9.html#X7E819F357EEEF31C" >9 .5 -3 </a> <br />code class="func" >OnCosetGeometryElement</code > <a href="chap13.html#X7C0E5EDD806CE4C1" >13 1 -11 </a> <br />code class="func" >OnKantorFamily</code > <a href="chap12.html#X7DCD7EAB839BD97F" >12 .6 -6 </a> <br code class="func" >OnProjSubspaces</code > <a href="chap5.html#X84A3D5357872EC3B" >5 .8 -1 </a> <a href="chap8.html#X86A646FF8668D82E" >8 .3 -1 </a> <br />code class="func" >OnProjSubspacesExtended</code > <a href="chap5.html#X86B4C03E85ADD0C2" >5 8 -3 </a> <a href="chap8.html#X86A646FF8668D82E" >8 .3 -1 </a> <br />code class="func" >OnSetsProjSubspaces</code > <a href="chap8.html#X86A646FF8668D82E" >8 .3 -1 br />code class="func" >Order</code > <a href="chap5.html#X84F59A2687C62763" >5 .3 -7 </a> <a href="chap12.html#X84F59A2687C62763" >12 .3 -1 </a> <br />code class="func" >ParabolicQuadric</code > <a href="chap7.html#X7CEDD5CC7A6B0E64" >7 .2 -3 </a> <a href="chap7.html#X7CEDD5CC7A6B0E64" >7 .2 -3 </a> <br />code class="func" >ParabolicSubgroups</code > <a href="chap13.html#X86CC6815824E71E4" >13 .1 -4 </a> <br />code class="func" >ParallelClass</code > <a href="chap9.html#X7A9F3647866EEEE3" >9 .2 -10 </a> <a href="chap9.html#X7A9F3647866EEEE3" >9 .2 -10 </a> <br />code class="func" >PG</code > <a href="chap4.html#X7962DA507C64FCBA" >4 .1 -2 </a> <br />code class="func" >Planes</code > <a href="chap3.html#X87E64DA67C3D6661" >3 .2 -8 </a> <a href="chap3.html#X7E29C31D7CB5DB23" >3 .4 -5 </a> <a href="chap3.html#X7E29C31D7CB5DB23" >3 .4 -5 </a> <a href="chap4.html#X87E64DA67C3D6661" >4 .2 -5 </a> <a href="chap4.html#X7E29C31D7CB5DB23" >4 .3 -4 </a> <a href="chap4.html#X7E29C31D7CB5DB23" >4 .3 -4 </a> <a href="chap9.html#X87E64DA67C3D6661" >9 .2 3 </a> <br />code class="func" >PluckerCoordinates</code > <a href="chap10.html#X7C8E719883F407BB" >10 .3 -1 </a> <a href="chapC.html#X7C8E719883F407BB" >C.3 -1 </a> <br />code class="func" >Points</code > <a href="chap3.html#X87E64DA67C3D6661" >3 .2 -8 </a> <a href="chap3.html#X7E29C31D7CB5DB23" >3 .4 -5 </a> <a href="chap3.html#X7E29C31D7CB5DB23" >3 .4 -5 </a> <a href="chap4.html#X87E64DA67C3D6661" >4 .2 -5 </a> <a href="chap4.html#X7E29C31D7CB5DB23" >4 .3 -4 </a> <a href="chap4.html#X7E29C31D7CB5DB23" >4 .3 -4 </a> <a href="chap9.html#X87E64DA67C3D6661" >9 .2 3 </a> <a href="chap11.html#X86605DF87C562635" >11 .1 -4 </a> <a href="chap11.html#X82AD64F47B418E4F" >11 .6 -2 </a> <a href="chap11.html#X78420B3B8031C6D0" >11 .7 -2 </a> <a href="chap11.html#X82572EA68327F857" >11 .8 -2 </a> <a href="chap12.html#X7E7607CA7D59D086" >12 .4 -1 </a> <a href="chap12.html#X8154BB13844AA0FD" >12 .4 -7 </a> <br />code class="func" >PointsOfAlgebraicVariety</code > <a href="chap11.html#X86605DF87C562635" >11 .1 -4 </a> <br />code class="func" >PointsOfGrassmannVariety</code > <a href="chap11.html#X82572EA68327F857" >11 .8 -2 </a> <br />code class="func" >PointsOfSegreVariety</code > <a href="chap11.html#X82AD64F47B418E4F" >11 .6 -2 </a> <br />code class="func" >PointsOfVeroneseVariety</code > <a href="chap11.html#X78420B3B8031C6D0" >11 .7 -2 </a> <br />code class="func" >PolarityOfProjectiveSpace</code > <a href="chap6.html#X7EBD8C07802562B7" >6 .1 -1 </a> <a href="chap6.html#X7EBD8C07802562B7" >6 .1 -2 </a> <a href="chap6.html#X7EBD8C07802562B7" >6 .1 -3 </a> <a href="chap6.html#X7EBD8C07802562B7" >6 .1 -4 </a> <a href="chap7.html#X7EBD8C07802562B7" >7 .5 -5 </a> <br />code class="func" >PolarSpace</code > <a href="chap6.html#X863BC8E57C98A471" >6 .3 -3 </a> <a href="chap7.html#X863BC8E57C98A471" 7 .1 -2 </a> <a href="chap7.html#X863BC8E57C98A471" >7 .1 -2 </a> <a href="chap11.html#X863BC8E57C98A471" >11 .3 -5 </a> <br />code class="func" >Pole</code > <a href="chap7.html#X8520DC538717C6BE" >7 .5 -8 </a> <br />code class="func" >ProjectiveCompletion</code > <a href="chap10.html#X7E23CA137AEFD1D2" >10 .7 -1 </a> <br />code class="func" >ProjectiveDimension</code > <a href="chap3.html#X84FDF25D797B874B" >3 .6 -4 "chap4.html#X84FDF25D797B874B" >4 .1 -3 </a> <a href="chap4.html#X84FDF25D797B874B" >4 .2 -3 </a> <a href="chap7.html#X84FDF25D797B874B" >7 .3 -3 </a> <a href="chap7.html#X84FDF25D797B874B" >7 .4 -3 </a> <a href="chap14.html#X79CC2F0483575105" >14 .3 -3 </a> <br />code class="func" >ProjectiveElationGroup</code > <a href="chap5.html#X7E5660A17A4B1349" >5 .9 -2 </a> <a href="chap5.html#X7E5660A17A4B1349" >5 .9 -2 </a> <br />code class="func" >ProjectiveHomologyGroup</code > <a href="chap5.html#X82FBABF384960A3D" >5 9 -4 </a> <br />code class="func" >ProjectiveSemilinearMap</code > <a href="chap5.html#X81ED446485A71588" >5 2 -3 </a> <br />code class="func" >ProjectiveSpace</code > <a href="chap4.html#X7962DA507C64FCBA" >4 .1 -2 </a> <a href="chap4.html#X7962DA507C64FCBA" >4 .1 -2 </a> <br />code class="func" >ProjectiveSpaceIsomorphism</code > <a href="chap5.html#X7FE527AB81C2B675" >5 .3 -6 </a> <br />code class="func" >ProjectiveStabiliserGroupOfSubspace</code > <a href="chap8.html#X7F50965D7B9C1BC5" >8 .2 -5 </a> <br />code class="func" >ProjectiveVariety</code > <a href="chap11.html#X83D5414481C9E1D0" >11 .2 -1 "chap11.html#X83D5414481C9E1D0" >11 .2 -1 </a> <br />code class="func" >Projectivity</code > <a href="chap5.html#X877DA4E185A1D9C7" >5 .2 -1 </a> <a href="chap5.html#X877DA4E185A1D9C7" >5 .2 -1 </a> <br />code class="func" >ProjectivityGroup</code > <a href="chap5.html#X850A954887CA9A55" >5 .4 -1 </a> <a href="chap14.html#X78F858C8863C7721" >14 .5 -1 </a> <br />code class="func" >qClan</code > <a href="chap12.html#X806527387F1D5D42" >12 .6 -8 </a> <br />code class="func" >QuadraticForm</code > <a href="chap11.html#X8421249486CEE1A0" >11 .3 -3 </a> <br />code class="func" >QuadraticFormFieldReduction</code > <a href="chapC.html#X7C23A6B17C98D3BB" >C.2 -1 </a> <a href="chapC.html#X7C23A6B17C98D3BB" >C.2 -1 </a> <br />code class="func" >QuadraticVariety</code > <a href="chap11.html#X850EDF127B1A2C4D" >11 .3 -2 </a> <a href="chap11.html#X850EDF127B1A2C4D" >11 .3 -2 </a> <a href="chap11.html#X850EDF127B1A2C4D" >11 .3 -2 </a> <a href="chap11.html#X850EDF127B1A2C4D" >11 .3 -2 </a> <a href="chap11.html#X850EDF127B1A2C4D" >11 .3 -2 </a> <a href="chap11.html#X850EDF127B1A2C4D" >11 .3 -2 </a> <br />code class="func" >Random</code > <a href="chap3.html#X79730D657AB219DB" >3 .2 -10 </a> <a href="chap4.html#X79730D657AB219DB" >4 .2 -14 </a> <br />code class="func" >RandomChamber</code > <a href="chap13.html#X82DA90817A70103A" >13 .1 -9 </a> <br />code class="func" >RandomElement</code > <a href="chap13.html#X82FB0B387E53B073" >13 .1 -7 </a> <br />code class="func" >RandomFlag</code > <a href="chap13.html#X87E9C0D3799F95BA" >13 .1 -8 </a> <br />code class="func" >RandomFrameOfProjectiveSpace</code > <a href="chap14.html#X81EB7C0B838B53B2" >14 .2 -2 </a> <br />code class="func" >RandomSubspace</code > <a href="chap4.html#X7D3C5D3B7AA4DE28" >4 .2 -15 </a> <a href="chap4.html#X7D3C5D3B7AA4DE28" >4 .2 -15 </a> <br />code class="func" >Range</code > <a href="chap11.html#X829F76BB80BD55DB" >11 .5 -2 </a> <br />code class="func" >Rank</code > <a href="chap3.html#X827146F37E2AA841" >3 .1 -7 </a> <a href="chap3.html#X827146F37E2AA841" >3 .3 -5 </a> <a href="chap4.html#X84FDF25D797B874B" >4 .1 -3 </a> <a href="chap7.html#X827146F37E2AA841" >7 .3 -4 </a> <a href="chap9.html#X7E6926C6850E7C4E" >9 .1 -3 </a> <a href="chap14.html#X79CC2F0483575105" >14 .3 -3 </a> <br />code class="func" >Rank2Parameters</code > <a href="chap13.html#X7B63DAB082839BD3" >13 .1 -27 </a> <br />code class="func" >RankAttr</code > <a href="chap3.html#X827146F37E2AA841" >3 .1 -7 </a> <br />code class="func" >Representative</code > <a href="chap5.html#X865507568182424E" >5 .3 -1 </a> <br />code class="func" >ResidueOfFlag</code > <a href="chap3.html#X78BE3D727B060301" >3 .4 -4 </a> <a href="chap13.html#X78BE3D727B060301" >13 .1 -22 </a> <br />code class="func" >Rk2GeoDiameter</code > <a href="chap13.html#X8573A0DE841CE7B3" >13 .1 -25 </a> <br />code class="func" >Rk2GeoGonality</code > <a href="chap13.html#X8233EE5D7BC9FD15" >13 .1 -24 </a> <br />code class="func" >SegreMap</code > <a href="chap11.html#X7B7DDDA17837AEF5" >11 .6 -3 </a> <a href="chap11.html#X7B7DDDA17837AEF5" 11 .6 -3 </a> <a href="chap11.html#X7B7DDDA17837AEF5" >11 .6 -3 "chap11.html#X7B7DDDA17837AEF5" >11 .6 -3 </a> <a href="chap11.html#X7B7DDDA17837AEF5" >11 .6 -3 </a> <a href="chap11.html#X7B7DDDA17837AEF5" >11 .6 -3 </a> <br />code class="func" >SegreVariety</code > <a href="chap11.html#X7F3EBD5487340078" >11 .6 -1 </a> <a href="chap11.html#X7F3EBD5487340078" >11 .6 -1 </a> <a href="chap11.html#X7F3EBD5487340078" >11 .6 -1 </a> <a href="chap11.html#X7F3EBD5487340078" >11 .6 -1 </a> <a href="chap11.html#X7F3EBD5487340078" >11 .6 -1 </a> <br />code class="func" >SelfDuality</code > <a href="chap10.html#X7954DA578247B06F" >10 .3 -6 </a> <a href="chap10.html#X7954DA578247B06F" >10 .3 -6 </a> <br />"chap7.html#X7988AF9978E75E37" >7 .7 </a> <a href="chap7.html#X7988AF9978E75E37" >7 .7 </a> <br />code class="func" >SesquilinearForm</code > <a href="chap6.html#X793BE1A27BF349F3" >6 .2 -1 </a> <a href="chap11.html#X793BE1A27BF349F3" >11 .3 -4 </a> <br />code class="func" >SetParent</code > <a href="chap8.html#X80F4EDD487059D70" >8 .3 -6 </a> <br />code class="func" >ShadowOfElement</code > <a href="chap3.html#X7FFA08DA85C5251C" >3 .4 -1 </a> <a href="chap3.html#X7FFA08DA85C5251C" >3 .4 -1 </a> <a href="chap4.html#X7FFA08DA85C5251C" >4 .3 -1 </a> <a href="chap4.html#X7FFA08DA85C5251C" >4 .3 -1 </a> <a href="chap7.html#X7FFA08DA85C5251C" >7 .6 -1 </a> <a href="chap7.html#X7FFA08DA85C5251C" >7 .6 -1 </a> <a href="chap9.html#X7FFA08DA85C5251C" >9 .3 -1 </a> <a href="chap12.html#X8154BB13844AA0FD" >12 .4 -7 </a> <br />code class="func" >ShadowOfFlag</code > <a href="chap3.html#X7E86E6417871730C" >3 .4 -3 </a> <a href="chap3.html#X7E86E6417871730C" >3 .4 -3 </a> <a href="chap3.html#X7E86E6417871730C" >3 .4 -3 </a> <a href="chap3.html#X7E86E6417871730C" >3 .4 -3 </a> <a href="chap4.html#X7E86E6417871730C" >4 .3 -2 </a> <a href="chap4.html#X7E86E6417871730C" >4 .3 -2 </a> <a href="chap9.html#X7E86E6417871730C" >9 .3 -2 </a> <br />code class="func" >ShrinkMat</code > <a href="chapC.html#X7F5886C47A02D55A" >C.1 -2 </a> <a href="chapC.html#X7F5886C47A02D55A" >C.1 -2 </a> <br />code class="func" >ShrinkVec</code > <a href="chapC.html#X802446017891FBCD" >C.1 -1 </a> <a href="chapC.html#X802446017891FBCD" >C.1 -1 </a> <br />"chap7.html#X7988AF9978E75E37" >7 .7 </a> <a href="chap7.html#X7988AF9978E75E37" >7 .7 </a> <br />code class="func" >SimilarityGroup</code > <a href="chap7.html#X812836E48364AE6D" >7 .7 -3 </a> <br />code class="func" >Size</code > <a href="chap3.html#X858ADA3B7A684421" >3 .3 -6 </a> <a href="chap12.html#X858ADA3B7A684421" >12 .4 -2 </a> <br />code class="func" >SOdesargues</code > <a href="chapB.html#X7DB7788C7E3DE820" >B.2 -1 </a> <br />code class="func" >Solids</code > <a href="chap3.html#X87E64DA67C3D6661" >3 .2 -8 </a> <a href="chap3.html#X7E29C31D7CB5DB23" >3 .4 -5 </a> <a href="chap3.html#X7E29C31D7CB5DB23" >3 .4 -5 </a> <a href="chap4.html#X87E64DA67C3D6661" >4 .2 -5 </a> <a href="chap4.html#X7E29C31D7CB5DB23" >4 .3 -4 </a> <a href="chap4.html#X7E29C31D7CB5DB23" >4 .3 -4 </a> <a href="chap9.html#X87E64DA67C3D6661" >9 .2 3 </a> <br />code class="func" >Source </code > <a href="chap11.html#X7DE8173F80E07AB1" >11 .5 -1 </a> <a href="chap11.html#X7DE8173F80E07AB1" >11 .6 -4 </a> <a href="chap11.html#X7DE8173F80E07AB1" >11 .7 -4 </a> <a href="chap11.html#X7DE8173F80E07AB1" >11 .8 -4 </a> <br />code class="func" >Span </code > <a href="chap4.html#X875BE2957FAF6209" >4 .2 -16 </a> <a href="chap4.html#X875BE2957FAF6209" >4 .2 -16 </a> <a href="chap7.html#X875BE2957FAF6209" >7 .5 -2 </a> <a href="chap9.html#X875BE2957FAF6209" >9 .2 -7 </a> <a href="chap12.html#X875BE2957FAF6209" >12 .4 -5 </a> <a href="chap12.html#X7B1380878358938C" >12 .5 -9 </a> <br />code class="func" >Spdesargues</code > <a href="chapB.html#X80DD252A82E848C9" >B.2 -5 </a> <br />code class="func" >SpecialHomographyGroup</code > <a href="chap5.html#X7BE9CE127ACFA6C2" >5 .4 -3 </a> <br />code class="func" >SpecialIsometryGroup</code > <a href="chap7.html#X857C261585038CB8" >7 .7 -1 </a> <br />code class="func" >SpecialProjectiveStabiliserGroupOfSubspace</code > <a href="chap8.html#X81B7F825830CD669" >8 .2 -6 </a> <br />code class="func" >SpecialProjectivityGroup</code > <a href="chap5.html#X7BE9CE127ACFA6C2" >5 .4 -3 </a> <a href="chap14.html#X78F858C8863C7721" >14 .5 -1 </a> <br />code class="func" >SplitCayleyHexagon</code > <a href="chap12.html#X7A05FF0079F55291" >12 .5 -3 </a> <a href="chap12.html#X7A05FF0079F55291" >12 .5 -3 </a> <a href="chap12.html#X7A05FF0079F55291" >12 .5 -3 </a> <br />code class="func" >StabiliserGroupOfSubspace</code > <a href="chap8.html#X7A625B4D7992EEBC" >8 .2 -4 </a> <br />code class="func" >StandardDualityOfProjectiveSpace</code > <a href="chap5.html#X841607A77B841CC9" >5 .2 -5 </a> <br />code class="func" >StandardFlagOfCosetGeometry</code > <a href="chap13.html#X80E7BC8F8612176D" >13 .1 -19 </a> <br />code class="func" >StandardFrame</code > <a href="chap4.html#X870D9D9A7F11806F" >4 .2 -7 </a> <br />code class="func" >StandardPolarSpace</code > <a href="chap7.html#X7EE25EDF7ADC30D7" >7 .2 -8 </a> <a href="chap7.html#X7EE25EDF7ADC30D7" >7 .2 -8 </a> <br />code class="func" >SubfieldOfSubgeometry</code > <a href="chap14.html#X85437D577DE97AEF" >14 .3 -4 </a> <br />code class="func" >SubgeometryOfProjectiveSpaceByFrame</code > <a href="chap14.html#X7A88800C80667E22" >14 .2 -4 </a> <a href="chap14.html#X7A88800C80667E22" >14 .2 -4 </a> <br />code class="func" >SUdesargues</code > <a href="chapB.html#X7EBFB99E853F378D" >B.2 -3 </a> <br />code class="func" >SymplecticSpace</code > <a href="chap7.html#X850980EF8607BDA7" >7 .2 -1 </a> <a href="chap7.html#X850980EF8607BDA7" >7 .2 -1 </a> <br />code class="func" >TangentSpace</code > <a href="chap7.html#X82C38639870C0DD6" >7 .5 -7 </a> <a href="chap7.html#X82C38639870C0DD6" >7 .5 -7 </a> <br />code class="func" >TwistedTrialityHexagon</code > <a href="chap12.html#X7E17977384011587" >12 5 -4 </a> <a href="chap12.html#X7E17977384011587" >12 .5 -4 </a> <a href="chap12.html#X7E17977384011587" >12 .5 -4 </a> <br />code class="func" >Type</code > <a href="chap3.html#X823B3D0F87FB5403" >3 .2 -3 </a> <a href="chap3.html#X823B3D0F87FB5403" >3 .3 -8 </a> <br />code class="func" >TypeOfSubspace</code > <a href="chap7.html#X863F1924805F6C63" >7 .5 -6 </a> <br />code class="func" >TypesOfElementsOfIncidenceStructure</code > <a href="chap3.html#X7E574AB27DA97063" >3 .1 -6 </a> <br />code class="func" >TypesOfElementsOfIncidenceStructurePlural</code > <a href="chap3.html#X7E574AB27DA97063" >3 .1 -6 </a> <br />code class="func" >UnderlyingObject</code > <a href="chap3.html#X810D4D6D87069697" >3 .2 -2 </a> <a href="chap3.html#X810D4D6D87069697" >3 .7 -2 </a> <a href="chap12.html#X7E9B2A217DBF2849" >12 .4 -3 </a> <a href="chap12.html#X810D4D6D87069697" >12 .5 -7 </a> <a href="chap12.html#X80C93974807A342B" >12 .6 -5 </a> <a href="chap12.html#X80C93974807A342B" >12 .6 -17 </a> <br />code class="func" >UnderlyingVectorSpace</code > <a href="chap3.html#X7D544D7985A4572D" >3 .6 3 </a> <a href="chap4.html#X7D544D7985A4572D" >4 .1 -5 </a> <a href="chap7.html#X7D544D7985A4572D" >7 .3 -1 </a> <a href="chap9.html#X7D544D7985A4572D" >9 .1 -5 </a> <a href="chap14.html#X8058FF3479158445" >14 .3 -1 </a> <a href="chap14.html#X85437D577DE97AEF" >14 .3 -4 </a> <br />code class="func" >vector spaceToElement</code > <a href="chap12.html#X807A60A28264BD93" >12 .5 -5 </a> <br />code class="func" >VectorSpaceToElement</code > <a href="chap3.html#X82E9593B8074AECB" >3 .7 -1 </a> <a href="chap3.html#X82E9593B8074AECB" >3 .7 -1 </a> <a href="chap4.html#X82E9593B8074AECB" >4 .2 -1 </a> <a href="chap7.html#X82E9593B8074AECB" >7 .4 -1 </a> <a href="chap14.html#X82E9593B8074AECB" >14 .4 -1 </a> <br />code class="func" >VectorSpaceTransversal</code > <a href="chap9.html#X8210A9FA7F9FA6DF" >9 .6 -2 </a> <br />code class="func" >VectorSpaceTransversalElement</code > <a href="chap9.html#X7B2163767BCA3CC6" >9 .6 -3 </a> <br />code class="func" >VeroneseMap</code > <a href="chap11.html#X816B9AB287EEF9A5" >11 .7 -3 </a> <a href="chap11.html#X816B9AB287EEF9A5" >11 .7 -3 </a> <a href="chap11.html#X816B9AB287EEF9A5" >11 .7 -3 </a> <a href="chap11.html#X816B9AB287EEF9A5" >11 .7 -3 </a> <br />code class="func" >VeroneseVariety</code > <a href="chap11.html#X85CBADAD7A18BB19" >11 .7 -1 </a> <a href="chap11.html#X85CBADAD7A18BB19" >11 .7 -1 </a> <a href="chap11.html#X85CBADAD7A18BB19" >11 .7 -1 </a> <br />div >div class="chlinkprevnextbot" > <a href="chap0.html" >[Top of Book]</a> <a href="chap0.html#contents" >[Contents]</a> <a href="chapBib.html" >[Previous Chapter]</a> </div >div class="chlinkbot" ><span class="chlink1" >Goto Chapter: </span ><a href="chap0.html" >Top</a> <a href="chap1.html" >1 </a> <a href="chap2.html" >2 </a> <a href="chap3.html" >3 </a> <a href="chap4.html" >4 </a> <a href="chap5.html" >5 </a> <a href="chap6.html" >6 </a> <a href="chap7.html" >7 </a> <a href="chap8.html" >8 </a> <a href="chap9.html" >9 </a> <a href="chap10.html" >10 </a> <a href="chap11.html" >11 </a> <a href="chap12.html" >12 </a> <a href="chap13.html" >13 </a> <a href="chap14.html" >14 </a> <a href="chapA.html" >A</a> <a href="chapB.html" >B</a> <a href="chapC.html" >C</a> <a href="chapBib.html" 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