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<div class="ChapSects"><a href="chap16.html#X79E5133F86718164">16 <span class="Heading">Property handlers</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap16.html#X786A3A8E7C461BEB">16.1 <span class="Heading">Property handlers of <code class="code">SCPolyhedralComplex</code></span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap16.html#X7A2C3F6A87C9918B">16.2 <span class="Heading">Property handlers of <code class="code">SCSimplicialComplex</code></span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap16.html#X7FEE3E9384330D24">16.3 <span class="Heading">Property handlers of <code class="code">SCNormalSurface</code></span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap16.html#X7A968EC287D82D17">16.4 <span class="Heading">Property handlers of <code class="code">SCLibRepository</code></span></a>
</span>
</div>
</div>
<h3>16 <span class="Heading">Property handlers</span></h3>
<p>As explained in Chapter <a href="chap5.html#X78B454D3799549A9"><span class="RefLink">5</span></a>, objects of the types <code class="code">SCSimplicialComplex</code>, <code class="code">SCNormalSurface</code> and <code class="code">SCLibRepository</code> provide a set of property handlers for ease of access to <strong class="pkg">simpcomp</strong> functions using these objects. Accessing these property handlers is possible via the .-operator.</p>
<p>For example, the <span class="SimpleMath">f</span>-vector of a simplicial complex <code class="code">c</code> that is stored as a <code class="code">SCSimplicialComplex</code> object can be accessed via the statement <code class="code">c.F;</code> instead of writing the longer <code class="code">SCFVector(c);</code>. See below for a list of all properties supported by objects of the types <code class="code">SCPolyhedralComplex</code>, <code class="code">SCSimplicialComplex</code>, <code class="code">SCNormalSurface</code> and <code class="code">SCLibRepository</code> (Note that the property handlers of <code class="code">SCPolyhedralComplex</code> can be used by both <code class="code">SCSimplicialComplex</code> and <code class="code">SCNormalSurface</code>).</p>
<p><a id="X786A3A8E7C461BEB" name="X786A3A8E7C461BEB"></a></p>
<h4>16.1 <span class="Heading">Property handlers of <code class="code">SCPolyhedralComplex</code></span></h4>
<p>This section contains a table of all property handlers of a <code class="code">SCPolyhedralComplex</code> object.</p>
<div class="pcenter"><table class="GAPDocTable">
<tr>
<td class="tdleft"><strong class="button">Property handler</strong></td>
<td class="tdleft"><strong class="button">Function called</strong></td>
</tr>
<tr>
<td class="tdleft"></td>
<td class="tdleft"></td>
</tr>
<tr>
<td class="tdleft">AntiStar</td>
<td class="tdleft"><code class="func">SCAntiStar</code> (<a href="chap4.html#X84646E6786FB7993"><span class="RefLink">4.3-1</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Ast</td>
<td class="tdleft"><code class="func">SCAntiStar</code> (<a href="chap4.html#X84646E6786FB7993"><span class="RefLink">4.3-1</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Facets</td>
<td class="tdleft"><code class="func">SCFacets</code> (<a href="chap6.html#X7BDD568184E3419D"><span class="RefLink">6.9-19</span></a>)</td>
</tr>
<tr>
<td class="tdleft">FacetsEx</td>
<td class="tdleft"><code class="func">SCFacetsEx</code> (<a href="chap6.html#X87DC942881235E25"><span class="RefLink">6.9-20</span></a>)</td>
</tr>
<tr>
<td class="tdleft">LabelMax</td>
<td class="tdleft"><code class="func">SCLabelMax</code> (<a href="chap4.html#X7C02CB9E8422EEE8"><span class="RefLink">4.2-1</span></a>)</td>
</tr>
<tr>
<td class="tdleft">LabelMin</td>
<td class="tdleft"><code class="func">SCLabelMin</code> (<a href="chap4.html#X7FC2186B7D346BD3"><span class="RefLink">4.2-2</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Labels</td>
<td class="tdleft"><code class="func">SCLabels</code> (<a href="chap4.html#X826E9B4482AF2671"><span class="RefLink">4.2-3</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Lk</td>
<td class="tdleft"><code class="func">SCLink</code> (<a href="chap4.html#X874059937F4C709B"><span class="RefLink">4.3-2</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Link</td>
<td class="tdleft"><code class="func">SCLink</code> (<a href="chap4.html#X874059937F4C709B"><span class="RefLink">4.3-2</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Links</td>
<td class="tdleft"><code class="func">SCLinks</code> (<a href="chap4.html#X7EFA115B7B26F9AD"><span class="RefLink">4.3-3</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Lks</td>
<td class="tdleft"><code class="func">SCLinks</code> (<a href="chap4.html#X7EFA115B7B26F9AD"><span class="RefLink">4.3-3</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Name</td>
<td class="tdleft"><code class="func">SCName</code> (<a href="chap4.html#X81C8A7EC84F5DEE9"><span class="RefLink">4.2-4</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Reference</td>
<td class="tdleft"><code class="func">SCReference</code> (<a href="chap4.html#X7A812340843BCED3"><span class="RefLink">4.2-5</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Relabel</td>
<td class="tdleft"><code class="func">SCRelabel</code> (<a href="chap4.html#X7B6011907B74EDDA"><span class="RefLink">4.2-6</span></a>)</td>
</tr>
<tr>
<td class="tdleft">RelabelStandard</td>
<td class="tdleft"><code class="func">SCRelabelStandard</code> (<a href="chap4.html#X78E22E3B787DDE90"><span class="RefLink">4.2-7</span></a>)</td>
</tr>
<tr>
<td class="tdleft">RelabelTransposition</td>
<td class="tdleft"><code class="func">SCRelabelTransposition</code> (<a href="chap4.html#X83276FCB844628EC"><span class="RefLink">4.2-8</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Rename</td>
<td class="tdleft"><code class="func">SCRename</code> (<a href="chap4.html#X84AA5E217F1EAE23"><span class="RefLink">4.2-9</span></a>)</td>
</tr>
<tr>
<td class="tdleft">SetReference</td>
<td class="tdleft"><code class="func">SCSetReference</code> (<a href="chap4.html#X87184048876229F3"><span class="RefLink">4.2-10</span></a>)</td>
</tr>
</table><br /><p> </p><br />
</div>
<div class="pcenter"><table class="GAPDocTablenoborder">
<tr>
<td class="tdleft">Star</td>
<td class="tdleft"><code class="func">SCStar</code> (<a href="chap4.html#X78B725AD7E747A63"><span class="RefLink">4.3-4</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Str</td>
<td class="tdleft"><code class="func">SCStar</code> (<a href="chap4.html#X78B725AD7E747A63"><span class="RefLink">4.3-4</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Stars</td>
<td class="tdleft"><code class="func">SCStars</code> (<a href="chap4.html#X83F3E7487A1EF355"><span class="RefLink">4.3-5</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Strs</td>
<td class="tdleft"><code class="func">SCStars</code> (<a href="chap4.html#X83F3E7487A1EF355"><span class="RefLink">4.3-5</span></a>)</td>
</tr>
<tr>
<td class="tdleft">UnlabelFace</td>
<td class="tdleft"><code class="func">SCUnlabelFace</code> (<a href="chap4.html#X80A64720826EA264"><span class="RefLink">4.2-11</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Vertices</td>
<td class="tdleft"><code class="func">SCVertices</code> (<a href="chap4.html#X849B0CD0796298EA"><span class="RefLink">4.1-3</span></a>)</td>
</tr>
<tr>
<td class="tdleft">VerticesEx</td>
<td class="tdleft"><code class="func">SCVerticesEx</code> (<a href="chap4.html#X83D02BCD7D19FC6F"><span class="RefLink">4.1-4</span></a>)</td>
</tr>
</table><br /><p> </p><br />
</div>
<p><a id="X7A2C3F6A87C9918B" name="X7A2C3F6A87C9918B"></a></p>
<h4>16.2 <span class="Heading">Property handlers of <code class="code">SCSimplicialComplex</code></span></h4>
<p>This section contains a table of all property handlers of a <code class="code">SCSimplicialComplex</code> object.</p>
<div class="pcenter"><table class="GAPDocTable">
<tr>
<td class="tdleft"><strong class="button">Property handler</strong></td>
<td class="tdleft"><strong class="button">Function called</strong></td>
</tr>
<tr>
<td class="tdleft"></td>
<td class="tdleft"></td>
</tr>
<tr>
<td class="tdleft">ASDet</td>
<td class="tdleft"><code class="func">SCAltshulerSteinberg</code> (<a href="chap6.html#X7B69B327809F67A0"><span class="RefLink">6.9-1</span></a>)</td>
</tr>
<tr>
<td class="tdleft">AlexanderDual</td>
<td class="tdleft"><code class="func">SCAlexanderDual</code> (<a href="chap6.html#X818757A17DA5CFFC"><span class="RefLink">6.10-1</span></a>)</td>
</tr>
<tr>
<td class="tdleft">AutomorphismGroup</td>
<td class="tdleft"><code class="func">SCAutomorphismGroup</code> (<a href="chap6.html#X7B88925386E197AC"><span class="RefLink">6.9-2</span></a>)</td>
</tr>
<tr>
<td class="tdleft">AutomorphismGroupInternal</td>
<td class="tdleft"><code class="func">SCAutomorphismGroupInternal</code> (<a href="chap6.html#X7A33B8177A7ACD3A"><span class="RefLink">6.9-3</span></a>)</td>
</tr>
<tr>
<td class="tdleft">AutomorphismGroupSize</td>
<td class="tdleft"><code class="func">SCAutomorphismGroupSize</code> (<a href="chap6.html#X78F6EF808047772C"><span class="RefLink">6.9-4</span></a>)</td>
</tr>
<tr>
<td class="tdleft">AutomorphismGroupStructure</td>
<td class="tdleft"><code class="func">SCAutomorphismGroupStructure</code> (<a href="chap6.html#X7EAC3A5D7A3339BB"><span class="RefLink">6.9-5</span></a>)</td>
</tr>
<tr>
<td class="tdleft">AutomorphismGroupTransitivity</td>
<td class="tdleft"><code class="func">SCAutomorphismGroupTransitivity</code> (<a href="chap6.html#X7E9D5C257F88E5E0"><span class="RefLink">6.9-6</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Bd</td>
<td class="tdleft"><code class="func">SCBoundary</code> (<a href="chap6.html#X836DC73380EA7414"><span class="RefLink">6.9-7</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Boundary</td>
<td class="tdleft"><code class="func">SCBoundary</code> (<a href="chap6.html#X836DC73380EA7414"><span class="RefLink">6.9-7</span></a>)</td>
</tr>
<tr>
<td class="tdleft">BoundaryOperatorMatrix</td>
<td class="tdleft"><code class="func">SCBoundaryOperatorMatrix</code> (<a href="chap8.html#X8762B952823BDEF3"><span class="RefLink">8.1-1</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Chi</td>
<td class="tdleft"><code class="func">SCEulerCharacteristic</code> (<a href="chap7.html#X788BAE187D584103"><span class="RefLink">7.3-3</span></a>)</td>
</tr>
<tr>
<td class="tdleft">CoboundaryOperatorMatrix</td>
<td class="tdleft"><code class="func">SCCoboundaryOperatorMatrix</code> (<a href="chap8.html#X8527CC347F606648"><span class="RefLink">8.2-1</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Cohomology</td>
<td class="tdleft"><code class="func">SCCohomology</code> (<a href="chap8.html#X7926D71A8169629B"><span class="RefLink">8.2-2</span></a>)</td>
</tr>
<tr>
<td class="tdleft">CohomologyBasis</td>
<td class="tdleft"><code class="func">SCCohomologyBasis</code> (<a href="chap8.html#X85910A6B824D63A4"><span class="RefLink">8.2-3</span></a>)</td>
</tr>
<tr>
<td class="tdleft">CohomologyBasisAsSimplices</td>
<td class="tdleft"><code class="func">SCCohomologyBasisAsSimplices</code> (<a href="chap8.html#X7A5047E57E150716"><span class="RefLink">8.2-4</span></a>)</td>
</tr>
<tr>
<td class="tdleft">CollapseGreedy</td>
<td class="tdleft"><code class="func">SCCollapseGreedy</code> (<a href="chap12.html#X7A4EBD017F4D9747"><span class="RefLink">12.1-1</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Cone</td>
<td class="tdleft"><code class="func">SCCone</code> (<a href="chap6.html#X7CF53D8D7E0FA702"><span class="RefLink">6.10-3</span></a>)</td>
</tr>
<tr>
<td class="tdleft">ConnectedComponents</td>
<td class="tdleft"><code class="func">SCConnectedComponents</code> (<a href="chap7.html#X82C9F57780C0B7F8"><span class="RefLink">7.3-1</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Copy</td>
<td class="tdleft"><code class="func">SCCopy</code> (<a href="chap7.html#X80F13BB484B3E9B2"><span class="RefLink">7.2-1</span></a>)</td>
</tr>
<tr>
<td class="tdleft">CupProduct</td>
<td class="tdleft"><code class="func">SCCupProduct</code> (<a href="chap8.html#X7A9137847BF96DF3"><span class="RefLink">8.2-5</span></a>)</td>
</tr>
<tr>
<td class="tdleft">DehnSommervilleCheck</td>
<td class="tdleft"><code class="func">SCDehnSommervilleCheck</code> (<a href="chap6.html#X812AE7397B4FC88E"><span class="RefLink">6.9-8</span></a>)</td>
</tr>
<tr>
<td class="tdleft">DeletedJoin</td>
<td class="tdleft"><code class="func">SCDeletedJoin</code> (<a href="chap6.html#X800BDDD878DFCBDB"><span class="RefLink">6.10-4</span></a>)</td>
</tr>
<tr>
<td class="tdleft">DetermineTopologicalType</td>
<td class="tdleft"><code class="func">SCLibDetermineTopologicalType</code> (<a href="chap13.html#X8320F68178796D4D"><span class="RefLink">13.1-6</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Difference</td>
<td class="tdleft"><code class="func">SCDifference</code> (<a href="chap6.html#X7FB3D29178076EB4"><span class="RefLink">6.10-5</span></a>)</td>
</tr>
<tr>
<td class="tdleft">DifferenceCycles</td>
<td class="tdleft"><code class="func">SCDifferenceCycles</code> (<a href="chap6.html#X80B33CAF7B5476C0"><span class="RefLink">6.9-10</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Dim</td>
<td class="tdleft"><code class="func">SCDim</code> (<a href="chap7.html#X82351AAE793DCB68"><span class="RefLink">7.3-2</span></a>)</td>
</tr>
<tr>
<td class="tdleft">DualGraph</td>
<td class="tdleft"><code class="func">SCDualGraph</code> (<a href="chap6.html#X798175C58050DDBD"><span class="RefLink">6.9-12</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Equivalent</td>
<td class="tdleft"><code class="func">SCEquivalent</code> (<a href="chap9.html#X80BDA87D86E67B02"><span class="RefLink">9.2-2</span></a>)</td>
</tr>
<tr>
<td class="tdleft">EulerCharacteristic</td>
<td class="tdleft"><code class="func">SCEulerCharacteristic</code> (<a href="chap7.html#X788BAE187D584103"><span class="RefLink">7.3-3</span></a>)</td>
</tr>
<tr>
<td class="tdleft">ExportJavaView</td>
<td class="tdleft"><code class="func">SCExportJavaView</code> (<a href="chap13.html#X859BCB9986B55E14"><span class="RefLink">13.2-9</span></a>)</td>
</tr>
<tr>
<td class="tdleft">ExportLatexTable</td>
<td class="tdleft"><code class="func">SCExportLatexTable</code> (<a href="chap13.html#X790C0AD9807A5D82"><span class="RefLink">13.2-8</span></a>)</td>
</tr>
<tr>
<td class="tdleft">ExportPolymake</td>
<td class="tdleft"><code class="func">SCExportPolymake</code> (<a href="chap13.html#X7F214CF77E65C1A9"><span class="RefLink">13.2-6</span></a>)</td>
</tr>
</table><br /><p> </p><br />
</div>
<div class="pcenter"><table class="GAPDocTablenoborder">
<tr>
<td class="tdleft">F</td>
<td class="tdleft"><code class="func">SCFVector</code> (<a href="chap7.html#X81F8071385FD9C1D"><span class="RefLink">7.3-4</span></a>)</td>
</tr>
<tr>
<td class="tdleft">FaceLattice</td>
<td class="tdleft"><code class="func">SCFaceLattice</code> (<a href="chap7.html#X7F8B561C823DDDBA"><span class="RefLink">7.3-5</span></a>)</td>
</tr>
<tr>
<td class="tdleft">FaceLatticeEx</td>
<td class="tdleft"><code class="func">SCFaceLatticeEx</code> (<a href="chap7.html#X7AE0029985BD0775"><span class="RefLink">7.3-6</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Faces</td>
<td class="tdleft"><code class="func">SCFaces</code> (<a href="chap6.html#X7F6FE9B27B8D6922"><span class="RefLink">6.9-17</span></a>)</td>
</tr>
<tr>
<td class="tdleft">FacesEx</td>
<td class="tdleft"><code class="func">SCFacesEx</code> (<a href="chap6.html#X7B40DFE780A47109"><span class="RefLink">6.9-18</span></a>)</td>
</tr>
<tr>
<td class="tdleft">FillSphere</td>
<td class="tdleft"><code class="func">SCFillSphere</code> (<a href="chap6.html#X7C8D11C684825ADC"><span class="RefLink">6.10-6</span></a>)</td>
</tr>
<tr>
<td class="tdleft">FpBetti</td>
<td class="tdleft"><code class="func">SCFpBettiNumbers</code> (<a href="chap7.html#X79F60850875BB683"><span class="RefLink">7.3-7</span></a>)</td>
</tr>
<tr>
<td class="tdleft">FundamentalGroup</td>
<td class="tdleft"><code class="func">SCFundamentalGroup</code> (<a href="chap6.html#X875963367A7745FB"><span class="RefLink">6.9-22</span></a>)</td>
</tr>
<tr>
<td class="tdleft">G</td>
<td class="tdleft"><code class="func">SCGVector</code> (<a href="chap6.html#X7B9F77A885E1BABE"><span class="RefLink">6.9-23</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Generators</td>
<td class="tdleft"><code class="func">SCGenerators</code> (<a href="chap6.html#X863CA73D7F66B295"><span class="RefLink">6.9-24</span></a>)</td>
</tr>
<tr>
<td class="tdleft">GeneratorsEx</td>
<td class="tdleft"><code class="func">SCGeneratorsEx</code> (<a href="chap6.html#X789F8FC77FC0E701"><span class="RefLink">6.9-25</span></a>)</td>
</tr>
<tr>
<td class="tdleft">H</td>
<td class="tdleft"><code class="func">SCHVector</code> (<a href="chap6.html#X84FBF0A685547ECD"><span class="RefLink">6.9-26</span></a>)</td>
</tr>
<tr>
<td class="tdleft">HandleAddition</td>
<td class="tdleft"><code class="func">SCHandleAddition</code> (<a href="chap6.html#X7DCB16857D49EC37"><span class="RefLink">6.10-7</span></a>)</td>
</tr>
<tr>
<td class="tdleft">HasBd</td>
<td class="tdleft"><code class="func">SCHasBoundary</code> (<a href="chap6.html#X796EBADE7803C622"><span class="RefLink">6.9-27</span></a>)</td>
</tr>
<tr>
<td class="tdleft">HasBoundary</td>
<td class="tdleft"><code class="func">SCHasBoundary</code> (<a href="chap6.html#X796EBADE7803C622"><span class="RefLink">6.9-27</span></a>)</td>
</tr>
<tr>
<td class="tdleft">HasInt</td>
<td class="tdleft"><code class="func">SCHasInterior</code> (<a href="chap6.html#X7C2A5B4D7E77E444"><span class="RefLink">6.9-28</span></a>)</td>
</tr>
<tr>
<td class="tdleft">HasInterior</td>
<td class="tdleft"><code class="func">SCHasInterior</code> (<a href="chap6.html#X7C2A5B4D7E77E444"><span class="RefLink">6.9-28</span></a>)</td>
</tr>
<tr>
<td class="tdleft">HasseDiagram</td>
<td class="tdleft"><code class="func">SCHasseDiagram</code> (<a href="chap12.html#X80DB575E7FABC370"><span class="RefLink">12.1-4</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Homology</td>
<td class="tdleft"><code class="func">SCHomology</code> (<a href="chap12.html#X78D66254858CE901"><span class="RefLink">12.1-12</span></a>)</td>
</tr>
<tr>
<td class="tdleft">HomologyBasis</td>
<td class="tdleft"><code class="func">SCHomologyBasis</code> (<a href="chap8.html#X7F9B47A97F5FA005"><span class="RefLink">8.1-3</span></a>)</td>
</tr>
<tr>
<td class="tdleft">HomologyBasisAsSimplices</td>
<td class="tdleft"><code class="func">SCHomologyBasisAsSimplices</code> (<a href="chap8.html#X7C569D9A7868C697"><span class="RefLink">8.1-4</span></a>)</td>
</tr>
<tr>
<td class="tdleft">HomologyInternal</td>
<td class="tdleft"><code class="func">SCHomologyInternal</code> (<a href="chap8.html#X858989CE797A8366"><span class="RefLink">8.1-5</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Incidences</td>
<td class="tdleft"><code class="func">SCIncidences</code> (<a href="chap6.html#X7B0C12F5780FDD9B"><span class="RefLink">6.9-32</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IncidencesEx</td>
<td class="tdleft"><code class="func">SCIncidencesEx</code> (<a href="chap6.html#X7B4CA6FE78A9880F"><span class="RefLink">6.9-33</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Interior</td>
<td class="tdleft"><code class="func">SCInterior</code> (<a href="chap6.html#X862926A079F6DFC2"><span class="RefLink">6.9-34</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Intersection</td>
<td class="tdleft"><code class="func">SCIntersection</code> (<a href="chap6.html#X7B4BE2C783E6D0BF"><span class="RefLink">6.10-8</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IntersectionForm</td>
<td class="tdleft"><code class="func">SCIntersectionForm</code> (<a href="chap8.html#X835E7016826D14A8"><span class="RefLink">8.2-6</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IntersectionFormDimensionality</td>
<td class="tdleft"><code class="func">SCIntersectionFormDimensionality</code> (<a href="chap8.html#X7B5F948B84F5E316"><span class="RefLink">8.2-8</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IntersectionFormParity</td>
<td class="tdleft"><code class="func">SCIntersectionFormParity</code> (<a href="chap8.html#X791C2B45872A71CA"><span class="RefLink">8.2-7</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IntersectionFormSignature</td>
<td class="tdleft"><code class="func">SCIntersectionFormSignature</code> (<a href="chap8.html#X87375A6978F3C8CD"><span class="RefLink">8.2-9</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IsCentrallySymmetric</td>
<td class="tdleft"><code class="func">SCIsCentrallySymmetric</code> (<a href="chap6.html#X8123A6E282CD0174"><span class="RefLink">6.9-35</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IsConnected</td>
<td class="tdleft"><code class="func">SCIsConnected</code> (<a href="chap7.html#X81AF20DC814B51A6"><span class="RefLink">7.3-10</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IsEmpty</td>
<td class="tdleft"><code class="func">SCIsEmpty</code> (<a href="chap7.html#X860375D980E9A801"><span class="RefLink">7.3-11</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IsEulerianManifold</td>
<td class="tdleft"><code class="func">SCIsEulerianManifold</code> (<a href="chap6.html#X83E01C957D2F2458"><span class="RefLink">6.9-38</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IsFlag</td>
<td class="tdleft"><code class="func">SCIsFlag</code> (<a href="chap6.html#X843C3E7F79D8093F"><span class="RefLink">6.9-39</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IsHomologySphere</td>
<td class="tdleft"><code class="func">SCIsHomologySphere</code> (<a href="chap6.html#X7E66FE0C83A3D371"><span class="RefLink">6.9-41</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IsInKd</td>
<td class="tdleft"><code class="func">SCIsInKd</code> (<a href="chap6.html#X87BC29AF878E7FD8"><span class="RefLink">6.9-42</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IsIsomorphic</td>
<td class="tdleft"><code class="func">SCIsIsomorphic</code> (<a href="chap6.html#X85659EC77DFF8183"><span class="RefLink">6.10-9</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IsKNeighborly</td>
<td class="tdleft"><code class="func">SCIsKNeighborly</code> (<a href="chap6.html#X7F4BECCA7E67B1B2"><span class="RefLink">6.9-43</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IsKStackedSphere</td>
<td class="tdleft"><code class="func">SCIsKStackedSphere</code> (<a href="chap9.html#X79FBFD6A7F2CC7E7"><span class="RefLink">9.2-5</span></a>)</td>
</tr>
</table><br /><p> </p><br />
</div>
<div class="pcenter"><table class="GAPDocTablenoborder">
<tr>
<td class="tdleft">IsManifold</td>
<td class="tdleft"><code class="func">SCIsManifold</code> (<a href="chap12.html#X831FFF748201B589"><span class="RefLink">12.1-17</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IsMovable</td>
<td class="tdleft"><code class="func">SCIsMovableComplex</code> (<a href="chap9.html#X7FB6219B85C96C66"><span class="RefLink">9.2-7</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Isomorphism</td>
<td class="tdleft"><code class="func">SCIsomorphism</code> (<a href="chap6.html#X8623B92580E8B4E4"><span class="RefLink">6.10-11</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IsomorphismEx</td>
<td class="tdleft"><code class="func">SCIsomorphismEx</code> (<a href="chap6.html#X86576B7287686E2B"><span class="RefLink">6.10-12</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IsOrientable</td>
<td class="tdleft"><code class="func">SCIsOrientable</code> (<a href="chap7.html#X78C860DC851167F7"><span class="RefLink">7.3-12</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IsPM</td>
<td class="tdleft"><code class="func">SCIsPseudoManifold</code> (<a href="chap6.html#X79DFCA08808665B7"><span class="RefLink">6.9-45</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IsPure</td>
<td class="tdleft"><code class="func">SCIsPure</code> (<a href="chap6.html#X7AAA757F842EA23A"><span class="RefLink">6.9-46</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IsSC</td>
<td class="tdleft"><code class="func">SCIsSimplyConnected</code> (<a href="chap12.html#X8067B00B7C959E2D"><span class="RefLink">12.1-14</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IsSimplyConnected</td>
<td class="tdleft"><code class="func">SCIsSimplyConnected</code> (<a href="chap12.html#X8067B00B7C959E2D"><span class="RefLink">12.1-14</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IsShellable</td>
<td class="tdleft"><code class="func">SCIsShellable</code> (<a href="chap6.html#X7EA4F4DB78758652"><span class="RefLink">6.9-47</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IsSphere</td>
<td class="tdleft"><code class="func">SCIsSphere</code> (<a href="chap12.html#X79B9F1807D0D9D52"><span class="RefLink">12.1-16</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IsStronglyConnected</td>
<td class="tdleft"><code class="func">SCIsStronglyConnected</code> (<a href="chap6.html#X7A2BD5657BBE1CC7"><span class="RefLink">6.9-48</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IsSubcomplex</td>
<td class="tdleft"><code class="func">SCIsSubcomplex</code> (<a href="chap6.html#X81D9CC438313F589"><span class="RefLink">6.10-10</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IsTight</td>
<td class="tdleft"><code class="func">SCIsTight</code> (<a href="chap11.html#X8337AE0E7B0A91D4"><span class="RefLink">11.1-1</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Join</td>
<td class="tdleft"><code class="func">SCJoin</code> (<a href="chap6.html#X86AC8D81837CC677"><span class="RefLink">6.10-13</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Load</td>
<td class="tdleft"><code class="func">SCLoad</code> (<a href="chap13.html#X867AFE4D7A2AA736"><span class="RefLink">13.2-1</span></a>)</td>
</tr>
<tr>
<td class="tdleft">MinimalNonFaces</td>
<td class="tdleft"><code class="func">SCMinimalNonFaces</code> (<a href="chap6.html#X7B935899849C8E40"><span class="RefLink">6.9-49</span></a>)</td>
</tr>
<tr>
<td class="tdleft">MinimalNonFacesEx</td>
<td class="tdleft"><code class="func">SCMinimalNonFacesEx</code> (<a href="chap6.html#X7DE069A0823BD56E"><span class="RefLink">6.9-50</span></a>)</td>
</tr>
<tr>
<td class="tdleft">MorseIsPerfect</td>
<td class="tdleft"><code class="func">SCMorseIsPerfect</code> (<a href="chap11.html#X7E5B488D7F2C61C2"><span class="RefLink">11.1-2</span></a>)</td>
</tr>
<tr>
<td class="tdleft">MorseMultiplicityVector</td>
<td class="tdleft"><code class="func">SCMorseMultiplicityVector</code> (<a href="chap11.html#X8365313E7CE6DCFC"><span class="RefLink">11.1-4</span></a>)</td>
</tr>
<tr>
<td class="tdleft">MorseNumberOfCriticalPoints</td>
<td class="tdleft"><code class="func">SCMorseNumberOfCriticalPoints</code> (<a href="chap11.html#X8396E28E79618B05"><span class="RefLink">11.1-5</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Move</td>
<td class="tdleft"><code class="func">SCMove</code> (<a href="chap9.html#X7AD9737B7BAF4816"><span class="RefLink">9.2-8</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Moves</td>
<td class="tdleft"><code class="func">SCMoves</code> (<a href="chap9.html#X87B1CBC97FC5C120"><span class="RefLink">9.2-9</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Neighborliness</td>
<td class="tdleft"><code class="func">SCNeighborliness</code> (<a href="chap6.html#X82A224DF787A97BE"><span class="RefLink">6.9-51</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Neighbors</td>
<td class="tdleft"><code class="func">SCNeighbors</code> (<a href="chap6.html#X8482E1F67C927BB7"><span class="RefLink">6.10-14</span></a>)</td>
</tr>
<tr>
<td class="tdleft">NeighborsEx</td>
<td class="tdleft"><code class="func">SCNeighborsEx</code> (<a href="chap6.html#X7F8FBEF17ACD0D4F"><span class="RefLink">6.10-15</span></a>)</td>
</tr>
<tr>
<td class="tdleft">NumFaces</td>
<td class="tdleft"><code class="func">SCNumFaces</code> (<a href="chap6.html#X7AC2427184B44C65"><span class="RefLink">6.9-52</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Orientation</td>
<td class="tdleft"><code class="func">SCOrientation</code> (<a href="chap6.html#X78DACE3478340DB8"><span class="RefLink">6.9-53</span></a>)</td>
</tr>
<tr>
<td class="tdleft">PropertiesDropped</td>
<td class="tdleft"><code class="func">SCPropertiesDropped</code> (<a href="chap5.html#X8155B18D7EEF06DE"><span class="RefLink">5.1-5</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Randomize</td>
<td class="tdleft"><code class="func">SCRandomize</code> (<a href="chap9.html#X8176063785DC4C35"><span class="RefLink">9.2-11</span></a>)</td>
</tr>
<tr>
<td class="tdleft">RMoves</td>
<td class="tdleft"><code class="func">SCRMoves</code> (<a href="chap9.html#X7E70D44179ED6A78"><span class="RefLink">9.2-10</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Reduce</td>
<td class="tdleft"><code class="func">SCReduceComplex</code> (<a href="chap9.html#X7FF4BBEC8574C58F"><span class="RefLink">9.2-13</span></a>)</td>
</tr>
<tr>
<td class="tdleft">ReduceAsSubcomplex</td>
<td class="tdleft"><code class="func">SCReduceAsSubcomplex</code> (<a href="chap9.html#X85D69E4F84E8E7D9"><span class="RefLink">9.2-12</span></a>)</td>
</tr>
<tr>
<td class="tdleft">ReduceEx</td>
<td class="tdleft"><code class="func">SCReduceComplexEx</code> (<a href="chap9.html#X814D9AE287F64F74"><span class="RefLink">9.2-14</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Save</td>
<td class="tdleft"><code class="func">SCSave</code> (<a href="chap13.html#X817CF3A184C93782"><span class="RefLink">13.2-3</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Details</td>
<td class="tdleft"><code class="func">SCDetails</code> (<a href="chap5.html#X7B20035E791441C5"><span class="RefLink">5.1-2</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Shelling</td>
<td class="tdleft"><code class="func">SCShelling</code> (<a href="chap6.html#X7EDA334983025D3D"><span class="RefLink">6.10-16</span></a>)</td>
</tr>
<tr>
<td class="tdleft">ShellingExt</td>
<td class="tdleft"><code class="func">SCShellingExt</code> (<a href="chap6.html#X7F967A717D4E41C0"><span class="RefLink">6.10-17</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Shellings</td>
<td class="tdleft"><code class="func">SCShellings</code> (<a href="chap6.html#X8373598C7FF5D28E"><span class="RefLink">6.10-18</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Skel</td>
<td class="tdleft"><code class="func">SCSkel</code> (<a href="chap7.html#X8026B46F8236124D"><span class="RefLink">7.3-13</span></a>)</td>
</tr>
<tr>
<td class="tdleft">SkelEx</td>
<td class="tdleft"><code class="func">SCSkelEx</code> (<a href="chap7.html#X84ACF7D580FE8B76"><span class="RefLink">7.3-14</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Slicing</td>
<td class="tdleft"><code class="func">SCSlicing</code> (<a href="chap11.html#X82DE3EB279394001"><span class="RefLink">11.1-3</span></a>), <code class="func">SCNSSlicing</code> (<a href="chap7.html#X8266FAFC7C6B8685"><span class="RefLink">7.1-4</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Span</td>
<td class="tdleft"><code class="func">SCSpan</code> (<a href="chap6.html#X7987AAE481C31F38"><span class="RefLink">6.10-19</span></a>)</td>
</tr>
<tr>
<td class="tdleft">SpanningTree</td>
<td class="tdleft"><code class="func">SCSpanningTree</code> (<a href="chap6.html#X7E770DE27938B140"><span class="RefLink">6.9-56</span></a>)</td>
</tr>
<tr>
<td class="tdleft">StronglyConnectedComponents</td>
<td class="tdleft"><code class="func">SCStronglyConnectedComponents</code> (<a href="chap6.html#X8278E1157A318C32"><span class="RefLink">6.6-9</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Suspension</td>
<td class="tdleft"><code class="func">SCSuspension</code> (<a href="chap6.html#X7AAA4669793C57DC"><span class="RefLink">6.10-20</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Transitivity</td>
<td class="tdleft"><code class="func">SCAutomorphismGroupTransitivity</code> (<a href="chap6.html#X7E9D5C257F88E5E0"><span class="RefLink">6.9-6</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Union</td>
<td class="tdleft"><code class="func">SCUnion</code> (<a href="chap7.html#X81DA367A813F7599"><span class="RefLink">7.3-16</span></a>)</td>
</tr>
<tr>
<td class="tdleft">VertexIdentification</td>
<td class="tdleft"><code class="func">SCVertexIdentification</code> (<a href="chap6.html#X7D5639CB87A0D3F1"><span class="RefLink">6.10-22</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Wedge</td>
<td class="tdleft"><code class="func">SCWedge</code> (<a href="chap6.html#X7E7B17317D1B618D"><span class="RefLink">6.10-23</span></a>)</td>
</tr>
</table><br /><p> </p><br />
</div>
<p><a id="X7FEE3E9384330D24" name="X7FEE3E9384330D24"></a></p>
<h4>16.3 <span class="Heading">Property handlers of <code class="code">SCNormalSurface</code></span></h4>
<p>This section contains a table of all property handlers of a <code class="code">SCNormalSurface</code> object.</p>
<div class="pcenter"><table class="GAPDocTable">
<tr>
<td class="tdleft"><strong class="button">Property handler</strong></td>
<td class="tdleft"><strong class="button">Function called</strong></td>
</tr>
<tr>
<td class="tdleft"></td>
<td class="tdleft"></td>
</tr>
<tr>
<td class="tdleft">Betti</td>
<td class="tdleft"><code class="func">SCFpBettiNumbers</code> (<a href="chap7.html#X79F60850875BB683"><span class="RefLink">7.3-7</span></a>)</td>
</tr>
<tr>
<td class="tdleft">ConnectedComponents</td>
<td class="tdleft"><code class="func">SCConnectedComponents</code> (<a href="chap7.html#X82C9F57780C0B7F8"><span class="RefLink">7.3-1</span></a>)</td>
</tr>
<tr>
<td class="tdleft">FpBettiNumbers</td>
<td class="tdleft"><code class="func">SCFpBettiNumbers</code> (<a href="chap7.html#X79F60850875BB683"><span class="RefLink">7.3-7</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Chi</td>
<td class="tdleft"><code class="func">SCEulerCharacteristic</code> (<a href="chap7.html#X788BAE187D584103"><span class="RefLink">7.3-3</span></a>)</td>
</tr>
<tr>
<td class="tdleft">EulerCharacteristic</td>
<td class="tdleft"><code class="func">SCEulerCharacteristic</code> (<a href="chap7.html#X788BAE187D584103"><span class="RefLink">7.3-3</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Connected</td>
<td class="tdleft"><code class="func">SCIsConnected</code> (<a href="chap7.html#X81AF20DC814B51A6"><span class="RefLink">7.3-10</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IsConnected</td>
<td class="tdleft"><code class="func">SCIsConnected</code> (<a href="chap7.html#X81AF20DC814B51A6"><span class="RefLink">7.3-10</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Copy</td>
<td class="tdleft"><code class="func">SCCopy</code> (<a href="chap7.html#X80F13BB484B3E9B2"><span class="RefLink">7.2-1</span></a>)</td>
</tr>
<tr>
<td class="tdleft">D</td>
<td class="tdleft"><code class="func">SCDim</code> (<a href="chap7.html#X82351AAE793DCB68"><span class="RefLink">7.3-2</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Dim</td>
<td class="tdleft"><code class="func">SCDim</code> (<a href="chap7.html#X82351AAE793DCB68"><span class="RefLink">7.3-2</span></a>)</td>
</tr>
<tr>
<td class="tdleft">F</td>
<td class="tdleft"><code class="func">SCFVector</code> (<a href="chap7.html#X81F8071385FD9C1D"><span class="RefLink">7.3-4</span></a>)</td>
</tr>
<tr>
<td class="tdleft">FVector</td>
<td class="tdleft"><code class="func">SCFVector</code> (<a href="chap7.html#X81F8071385FD9C1D"><span class="RefLink">7.3-4</span></a>)</td>
</tr>
<tr>
<td class="tdleft">FaceLattice</td>
<td class="tdleft"><code class="func">SCFaceLattice</code> (<a href="chap7.html#X7F8B561C823DDDBA"><span class="RefLink">7.3-5</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Faces</td>
<td class="tdleft"><code class="func">SCSkel</code> (<a href="chap7.html#X8026B46F8236124D"><span class="RefLink">7.3-13</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Genus</td>
<td class="tdleft"><code class="func">SCGenus</code> (<a href="chap7.html#X806E6A4C7CD30A96"><span class="RefLink">7.3-8</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Homology</td>
<td class="tdleft"><code class="func">SCHomology</code> (<a href="chap12.html#X78D66254858CE901"><span class="RefLink">12.1-12</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IsEmpty</td>
<td class="tdleft"><code class="func">SCIsEmpty</code> (<a href="chap7.html#X860375D980E9A801"><span class="RefLink">7.3-11</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Name</td>
<td class="tdleft"><code class="func">SCName</code> (<a href="chap4.html#X81C8A7EC84F5DEE9"><span class="RefLink">4.2-4</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Triangulation</td>
<td class="tdleft"><code class="func">SCNSTriangulation</code> (<a href="chap7.html#X7A180D487B8941C5"><span class="RefLink">7.2-2</span></a>)</td>
</tr>
<tr>
<td class="tdleft">TopologicalType</td>
<td class="tdleft"><code class="func">SCTopologicalType</code> (<a href="chap7.html#X84CBD2F780A1F63C"><span class="RefLink">7.3-15</span></a>)</td>
</tr>
</table><br /><p> </p><br />
</div>
<p><a id="X7A968EC287D82D17" name="X7A968EC287D82D17"></a></p>
<h4>16.4 <span class="Heading">Property handlers of <code class="code">SCLibRepository</code></span></h4>
<p>This section contains a table of all property handlers of a <code class="code">SCLibRepository</code> object.</p>
<div class="pcenter"><table class="GAPDocTable">
<tr>
<td class="tdleft"><strong class="button">Property handler</strong></td>
<td class="tdleft"><strong class="button">Function called</strong></td>
</tr>
<tr>
<td class="tdleft"></td>
<td class="tdleft"></td>
</tr>
<tr>
<td class="tdleft">Update</td>
<td class="tdleft"><code class="func">SCLibUpdate</code> (<a href="chap13.html#X7A0856987A87A3C5"><span class="RefLink">13.1-13</span></a>)</td>
</tr>
<tr>
<td class="tdleft">IsLoaded</td>
<td class="tdleft"><code class="func">SCLibIsLoaded</code> (<a href="chap13.html#X83D638237BDE2C1C"><span class="RefLink">13.1-9</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Size</td>
<td class="tdleft"><code class="func">SCLibSize</code> (<a href="chap13.html#X80BD14648113130B"><span class="RefLink">13.1-12</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Status</td>
<td class="tdleft"><code class="func">SCLibStatus</code> (<a href="chap13.html#X843A039E78D5A97B"><span class="RefLink">13.1-14</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Flush</td>
<td class="tdleft"><code class="func">SCLibFlush</code> (<a href="chap13.html#X7C3151F280BC8754"><span class="RefLink">13.1-7</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Add</td>
<td class="tdleft"><code class="func">SCLibAdd</code> (<a href="chap13.html#X85A9A589831467BB"><span class="RefLink">13.1-3</span></a>)</td>
</tr>
<tr>
<td class="tdleft">Delete</td>
<td class="tdleft"><code class="func">SCLibDelete</code> (<a href="chap13.html#X802B22077DB1F14B"><span class="RefLink">13.1-5</span></a>)</td>
</tr>
<tr>
<td class="tdleft">All</td>
<td class="tdleft"><code class="func">SCLibAllComplexes</code> (<a href="chap13.html#X7C0F9B7E868800C7"><span class="RefLink">13.1-4</span></a>)</td>
</tr>
<tr>
<td class="tdleft">SearchByName</td>
<td class="tdleft"><code class="func">SCLibSearchByName</code> (<a href="chap13.html#X80EA086A80F86814"><span class="RefLink">13.1-11</span></a>)</td>
</tr>
<tr>
<td class="tdleft">SearchByAttribute</td>
<td class="tdleft"><code class="func">SCLibSearchByAttribute</code> (<a href="chap13.html#X7AEF58507E5AB88E"><span class="RefLink">13.1-10</span></a>)</td>
</tr>
<tr>
<td class="tdleft">DetermineTopologicalType</td>
<td class="tdleft"><code class="func">SCLibDetermineTopologicalType</code> (<a href="chap13.html#X8320F68178796D4D"><span class="RefLink">13.1-6</span></a>)</td>
</tr>
</table><br /><p> </p><br />
</div>
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