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<p><a id="X7D2C85EC87DD46E5" name="X7D2C85EC87DD46E5"></a></p>
<div class="pcenter">
<h1><strong class="pkg">AtlasRep</strong> --- A GAP 4 Package</h1>
<p>(Version 1.4)</p>
</div>
<p><b>Robert A. Wilson
</b>
<br />Email: <span class="URL"><a href="mailto:R.A.Wilson@qmul.ac.uk">R.A.Wilson@qmul.ac.uk</a></span>
<br />Homepage: <span class="URL"><a href="http://www.maths.qmw.ac.uk/~raw">http://www.maths.qmw.ac.uk/~raw</a></span>
</p><p><b>Richard A. Parker
</b>
<br />Email: <span class="URL"><a href="mailto:richard@ukonline.co.uk">richard@ukonline.co.uk</a></span>
<br />Homepage: <span class="URL"><a href="http://web.ukonline.co.uk/richard">http://web.ukonline.co.uk/richard</a></span>
</p><p><b>Simon Nickerson
</b>
<br />Email: <span class="URL"><a href="mailto:simonn@maths.bham.ac.uk">simonn@maths.bham.ac.uk</a></span>
<br />Homepage: <span class="URL"><a href="http://web.mat.bham.ac.uk/S.Nickerson">http://web.mat.bham.ac.uk/S.Nickerson</a></span>
</p><p><b>John N. Bray
</b>
<br />Email: <span class="URL"><a href="mailto:J.N.Bray@qmul.ac.uk">J.N.Bray@qmul.ac.uk</a></span>
<br />Homepage: <span class="URL"><a href="http://www.maths.qmw.ac.uk/~jnb">http://www.maths.qmw.ac.uk/~jnb</a></span>
</p><p><b>Thomas Breuer
</b>
<br />Email: <span class="URL"><a href="mailto:sam@Math.RWTH-Aachen.De">sam@Math.RWTH-Aachen.De</a></span>
<br />Homepage: <span class="URL"><a href="http://www.math.rwth-aachen.de/~Thomas.Breuer">http://www.math.rwth-aachen.de/~Thomas.Breuer</a></span>
</p>
<p><a id="X81488B807F2A1CF1" name="X81488B807F2A1CF1"></a></p>
<h3>Copyright</h3>
<p>© 2002</p>
<p>We adopt the copyright regulations of <strong class="pkg">GAP</strong> as detailed in the copyright notice in the <strong class="pkg">GAP</strong> Reference Manual.</p>
<p><a id="X8537FEB07AF2BEC8" name="X8537FEB07AF2BEC8"></a></p>
<div class="contents">
<h3>Contents</h3>
<div class="ContChap"><a href="chap1.html#X780A68B584B7F3DF">1 <span class="Heading">Introduction to the <strong class="pkg">AtlasRep</strong> Package</span></a>
<div class="ContSect"><span class="nocss"> </span><a href="chap1.html#X856D502978D8F801">1.1 <span class="Heading">An <strong class="pkg">ATLAS</strong> of Group Representations</span></a>
</div>
<div class="ContSect"><span class="nocss"> </span><a href="chap1.html#X8033B61682EE6A23">1.2 <span class="Heading">The GAP Interface to the <strong class="pkg">ATLAS</strong> of Group Representations</span></a>
</div>
<div class="ContSect"><span class="nocss"> </span><a href="chap1.html#X7DE8D7A88254E1DD">1.3 <span class="Heading">Web Services for the <strong class="pkg">AtlasRep</strong> Package</span></a>
</div>
<div class="ContSect"><span class="nocss"> </span><a href="chap1.html#X7F25ECBA7B675901">1.4 <span class="Heading">Installing the <strong class="pkg">AtlasRep</strong> Package</span></a>
</div>
<div class="ContSect"><span class="nocss"> </span><a href="chap1.html#X8313A28A849E489B">1.5 <span class="Heading">Loading the <strong class="pkg">AtlasRep</strong> Package</span></a>
</div>
<div class="ContSect"><span class="nocss"> </span><a href="chap1.html#X80D437A481096921">1.6 <span class="Heading">Maintaining the Local Data of the <strong class="pkg">AtlasRep</strong>
Package</span></a>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1.html#X7AC3EA317EDBDA0E">1.6-1 ReloadAtlasTableOfContents</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1.html#X7E3E52D380C20363">1.6-2 StoreAtlasTableOfContents</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1.html#X847A5AFD7B5D8570">1.6-3 ReplaceAtlasTableOfContents</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1.html#X7E04B1C57C38DCB2">1.6-4 AtlasOfGroupRepresentationsTestTableOfContentsRemoteUpdates</a></span>
</div>
<div class="ContSect"><span class="nocss"> </span><a href="chap1.html#X7B04D2287CC44DE5">1.7 <span class="Heading">User Parameters for the <strong class="pkg">AtlasRep</strong> Package</span></a>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1.html#X7E1934D2780D108F">1.7-1 <span class="Heading">Local or Remote Access</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1.html#X826B8F128277032E">1.7-2 <span class="Heading">Adding and Removing Servers</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1.html#X7CB4D8F887BE5E84">1.7-3 <span class="Heading">Accessing Data Files with the <strong class="pkg">GAP</strong> Package <strong class="pkg">IO</strong>
or with <code class="file">wget</code></span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1.html#X7E0AC1127B4363E7">1.7-4 <span class="Heading">Compressed or Uncompressed Data Files</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1.html#X83EE129B7A7650F2">1.7-5 <span class="Heading">Customizing <code class="code">DisplayAtlasInfo</code></span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1.html#X7FA485E479F6C3A0">1.7-6 <span class="Heading">Customizing the Access to Data Files</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1.html#X866E1476853E42C2">1.7-7 <span class="Heading">Reading Large Matrices over Finite Fields</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1.html#X80126409815DE5B6">1.7-8 AtlasOfGroupRepresentationsShowUserParameters</a></span>
</div>
<div class="ContSect"><span class="nocss"> </span><a href="chap1.html#X7FB64AD37D4620E6">1.8 <span class="Heading">Extending the <strong class="pkg">ATLAS</strong> Database</span></a>
</div>
<div class="ContSect"><span class="nocss"> </span><a href="chap1.html#X7B864EDC7CB211FD">1.9 <span class="Heading">What's New in <strong class="pkg">AtlasRep</strong>,
Compared to Older Versions?</span></a>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1.html#X86FE8602805AFA05">1.9-1 <span class="Heading">What's New in Version 1.4?</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1.html#X83125C0278DBCEFB">1.9-2 <span class="Heading">What's New in Version 1.3.1?</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1.html#X820A9F6E834B7972">1.9-3 <span class="Heading">What's New in Version 1.3?</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1.html#X839B2C7A7B592F20">1.9-4 <span class="Heading">What's New in Version 1.2?</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1.html#X8129F9467ED8C5B2">1.9-5 <span class="Heading">What's New in Version 1.1?</span></a>
</span>
</div>
<div class="ContSect"><span class="nocss"> </span><a href="chap1.html#X8207E35380A4BAFC">1.10 <span class="Heading">Acknowledgments</span></a>
</div>
</div>
<div class="ContChap"><a href="chap2.html#X87EAF8E578D95793">2 <span class="Heading">The User Interface of the <strong class="pkg">AtlasRep</strong> Package
</span></a>
<div class="ContSect"><span class="nocss"> </span><a href="chap2.html#X87D26B13819A8209">2.1 <span class="Heading">Accessing vs. Constructing Representations</span></a>
</div>
<div class="ContSect"><span class="nocss"> </span><a href="chap2.html#X81BF52FC7B8C08D4">2.2 <span class="Heading">Group Names Used in the <strong class="pkg">AtlasRep</strong> Package</span></a>
</div>
<div class="ContSect"><span class="nocss"> </span><a href="chap2.html#X795DB7E486E0817D">2.3 <span class="Heading">Standard Generators Used in the <strong class="pkg">AtlasRep</strong> Package
</span></a>
</div>
<div class="ContSect"><span class="nocss"> </span><a href="chap2.html#X861CD545803B97E8">2.4 <span class="Heading">Class Names Used in the <strong class="pkg">AtlasRep</strong> Package</span></a>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2.html#X850EEDEE831EE039">2.4-1 <span class="Heading">Definition of <strong class="pkg">ATLAS</strong> Class Names</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2.html#X78166D1D7D18EFBF">2.4-2 AtlasClassNames</a></span>
</div>
<div class="ContSect"><span class="nocss"> </span><a href="chap2.html#X806ED7BB83FD848B">2.5 <span class="Heading">Accessing Data of the <strong class="pkg">AtlasRep</strong> Package</span></a>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2.html#X79DACFFA7E2D1A99">2.5-1 DisplayAtlasInfo</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2.html#X7D1CCCF8852DFF39">2.5-2 AtlasGenerators</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2.html#X801F2E657C8A79ED">2.5-3 AtlasProgram</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2.html#X841478AB7CD06D44">2.5-4 OneAtlasGeneratingSetInfo</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2.html#X84C2D76482E60E42">2.5-5 AllAtlasGeneratingSetInfos</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2.html#X80AABEE783363B70">2.5-6 AtlasGroup</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2.html#X7A3E460C82B3D9A3">2.5-7 AtlasSubgroup</a></span>
</div>
<div class="ContSect"><span class="nocss"> </span><a href="chap2.html#X87ACE06E82B68589">2.6 <span class="Heading">Examples of Using the <strong class="pkg">AtlasRep</strong> Package</span></a>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2.html#X8563D96878AC685C">2.6-1 <span class="Heading">Example: Class Representatives</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2.html#X81C9233778A3A817">2.6-2 <span class="Heading">Example: Permutation and Matrix Representations</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2.html#X8284D7E87D38889C">2.6-3 <span class="Heading">Example: Outer Automorphisms</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2.html#X794D669E7A507310">2.6-4 <span class="Heading">Example: Using Semi-presentations and Black Box Programs</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2.html#X7CE7C2068017525C">2.6-5 <span class="Heading">Example: Using the <strong class="pkg">GAP</strong> Library of Tables of Marks</span></a>
</span>
</div>
</div>
<div class="ContChap"><a href="chap3.html#X7DF711157F9EFA28">3 <span class="Heading">Private Extensions of the <strong class="pkg">AtlasRep</strong> Package
</span></a>
<div class="ContSect"><span class="nocss"> </span><a href="chap3.html#X8072E5C9825D6CCE">3.1 <span class="Heading">Adding a Private Data Directory</span></a>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3.html#X825AF58885A48520">3.1-1 AtlasOfGroupRepresentationsNotifyPrivateDirectory</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3.html#X8748A8BB7C7089EE">3.1-2 AtlasOfGroupRepresentationsForgetPrivateDirectory</a></span>
</div>
<div class="ContSect"><span class="nocss"> </span><a href="chap3.html#X7E186BFA7E59BD47">3.2 <span class="Heading">The Effect of Private Extensions on the User Interface</span></a>
</div>
<div class="ContSect"><span class="nocss"> </span><a href="chap3.html#X86CC8CDD866A1FC3">3.3 <span class="Heading">An Example of Extending the <strong class="pkg">AtlasRep</strong> Package
</span></a>
</div>
</div>
<div class="ContChap"><a href="chap4.html#X823949B17B185DFA">4 <span class="Heading">New Objects and Utility Functions Provided by the
<strong class="pkg">AtlasRep</strong> Package</span></a>
<div class="ContSect"><span class="nocss"> </span><a href="chap4.html#X8121E9567A7137C9">4.1 <span class="Heading">Straight Line Decisions</span></a>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X8787E2EC7DB85A89">4.1-1 IsStraightLineDecision</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X82AFAD9F7FA5CE8A">4.1-2 LinesOfStraightLineDecision</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X7B1A43427BD97FDF">4.1-3 NrInputsOfStraightLineDecision</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X82A3632782E45F35">4.1-4 ScanStraightLineDecision</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X825C4E4180F3D989">4.1-5 StraightLineDecision</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X7E7B328A84685480">4.1-6 ResultOfStraightLineDecision</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X7C94ECAC8583CEAE">4.1-7 <span class="Heading">Semi-Presentations and Presentations</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X7C13D08C7D55E20A">4.1-8 AsStraightLineDecision</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X7EA613C57DDC67D5">4.1-9 StraightLineProgramFromStraightLineDecision</a></span>
</div>
<div class="ContSect"><span class="nocss"> </span><a href="chap4.html#X7BE856BC785A9E8F">4.2 <span class="Heading">Black Box Programs</span></a>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X87CAF2DE870D0E3B">4.2-1 IsBBoxProgram</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X7EA20532868F9863">4.2-2 ScanBBoxProgram</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X7D211A5D8602B330">4.2-3 RunBBoxProgram</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X869BACFB80A3CC87">4.2-4 ResultOfBBoxProgram</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X826ACFE887E0B6B8">4.2-5 AsBBoxProgram</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X7D36DFA87C8B2C48">4.2-6 AsStraightLineProgram</a></span>
</div>
<div class="ContSect"><span class="nocss"> </span><a href="chap4.html#X87E1F08D80C9E069">4.3 <span class="Heading">Representations of Minimal Degree</span></a>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X7DC66D8282B2BB7F">4.3-1 MinimalRepresentationInfo</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X7E1B76DC86A8C405">4.3-2 MinimalRepresentationInfoData</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X79C4C9F683E919C9">4.3-3 SetMinimalRepresentationInfo</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X7FC33DFF8481F8D1">4.3-4 <span class="Heading">Criteria Used to Compute Minimality Information</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X85217A9578DA034A">4.3-5 AGR_TestMinimalDegrees</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X7F31A7CB841FE63F">4.3-6 BrowseMinimalDegrees</a></span>
</div>
<div class="ContSect"><span class="nocss"> </span><a href="chap4.html#X7DD6CE0E79AAD61B">4.4 <span class="Heading">Bibliographies of Sporadic Simple Groups</span></a>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X84ED4FC182C28198">4.4-1 BrowseBibliographySporadicSimple</a></span>
</div>
</div>
<div class="ContChap"><a href="chap5.html#X7F77634D817156B3">5 <span class="Heading">Technicalities of the <strong class="pkg">AtlasRep</strong> Package</span></a>
<div class="ContSect"><span class="nocss"> </span><a href="chap5.html#X7DC2B7917DC30B28">5.1 <span class="Heading">Global Variables Used by the <strong class="pkg">AtlasRep</strong> Package
</span></a>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X8006BE167EB81E16">5.1-1 InfoAtlasRep</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X78601C3A87921E08">5.1-2 InfoCMeatAxe</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X80D5EF9A7FEF124B">5.1-3 InfoBBox</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X85B6010C85A06CB6">5.1-4 CMeatAxe.FastRead</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X7BEC94A6781E126E">5.1-5 AtlasOfGroupRepresentationsInfo</a></span>
</div>
<div class="ContSect"><span class="nocss"> </span><a href="chap5.html#X81C5B5E78215169D">5.2 <span class="Heading">How to Customize the Access to Data files</span></a>
</div>
<div class="ContSect"><span class="nocss"> </span><a href="chap5.html#X7D76D4437A9646E7">5.3 <span class="Heading">Reading and Writing MeatAxe Format Files</span></a>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X83D5103780E1238F">5.3-1 ScanMeatAxeFile</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X7DDD09BE87063052">5.3-2 MeatAxeString</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X79D9AE4878E9DFA6">5.3-3 FFList</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X8477AA668733255C">5.3-4 CMtxBinaryFFMatOrPerm</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X872FA00C7F791FBB">5.3-5 FFMatOrPermCMtxBinary</a></span>
</div>
<div class="ContSect"><span class="nocss"> </span><a href="chap5.html#X7FEE162B7F63BEA0">5.4 <span class="Heading">Reading and Writing <strong class="pkg">ATLAS</strong> Straight Line Programs</span></a>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X7D6617E47B013A37">5.4-1 ScanStraightLineProgram</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X82842D807A7B7DF7">5.4-2 AtlasStringOfProgram</a></span>
</div>
<div class="ContSect"><span class="nocss"> </span><a href="chap5.html#X86366BF08533DA5E">5.5 <span class="Heading">Data Types Used in the <strong class="pkg">ATLAS</strong> of Group Representations</span></a>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X832AB6B97BE4CD9F">5.5-1 AGRDeclareDataType</a></span>
</div>
<div class="ContSect"><span class="nocss"> </span><a href="chap5.html#X7D16BE31788F0E8A">5.6 <span class="Heading">Filenames Used in the <strong class="pkg">ATLAS</strong> of Group Representations</span></a>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X85D036A07A869C54">5.6-1 AGRParseFilenameFormat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X819839FA7A639DE2">5.6-2 AGRFileContents</a></span>
</div>
<div class="ContSect"><span class="nocss"> </span><a href="chap5.html#X7D66C94E7A0F2252">5.7 <span class="Heading">The Tables of Contents of the <strong class="pkg">ATLAS</strong> of Group Representations
</span></a>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X8229700C8744F09B">5.7-1 AGRGNAN</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X86698BC778570236">5.7-2 AGRRNG</a></span>
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<div class="ContSect"><span class="nocss"> </span><a href="chap5.html#X84A565E482DBF4C1">5.8 <span class="Heading">Sanity Checks for the <strong class="pkg">ATLAS</strong> of Group Representations</span></a>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X7B890AE7817446DE">5.8-1 AtlasOfGroupRepresentationsTestGroupOrders</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X7999A5367E21B2CD">5.8-2 AtlasOfGroupRepresentationsTestSubgroupOrders</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X80C116968254C114">5.8-3 AtlasOfGroupRepresentationsTestStdCompatibility</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X87C41F1978086FE8">5.8-4 AtlasOfGroupRepresentationsTestCompatibleMaxes</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X8318C1AD84557495">5.8-5 AtlasOfGroupRepresentationsTestFileHeaders</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X85F8ED98805FB495">5.8-6 AtlasOfGroupRepresentationsTestWords</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X828C687579111271">5.8-7 AtlasOfGroupRepresentationsTestFiles</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X793FE3A483AA58E5">5.8-8 AtlasOfGroupRepresentationsTestClassScripts</a></span>
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