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<h1><strong class="pkg">AtlasRep</strong> — A GAP 4 Package</h1>

<p>(Version 2.1.9)</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:richpark@gmx.co.uk">richpark@gmx.co.uk</a></span>
</p><p><b>Simon Nickerson
    
  </b>
<br />Homepage: <span class="URL"><a href="http://nickerson.org.uk/groups">http://nickerson.org.uk/groups</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="https://www.math.rwth-aachen.de/~Thomas.Breuer">https://www.math.rwth-aachen.de/~Thomas.Breuer</a></span>
</p>

<p><a id="X81488B807F2A1CF1" name="X81488B807F2A1CF1"></a></p>
<h3>Copyright</h3>
<p>© 2002–2024</p>

<p>This package may be distributed under the terms and conditions of the GNU Public License Version 3 or later, see <span class="URL"><a href="http://www.gnu.org/licenses">http://www.gnu.org/licenses</a></span>.</p>

<p><a id="X8537FEB07AF2BEC8" name="X8537FEB07AF2BEC8"></a></p>

<div class="contents">
<h3>Contents<a id="contents" name="contents"></a></h3>

<div class="ContChap"><a href="chap1_mj.html#X780A68B584B7F3DF">1 <span class="Heading">Introduction to the <strong class="pkg">AtlasRep</strong> Package</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1_mj.html#X7A76DF957E7AF8AE">1.1 <span class="Heading">The <strong class="pkg">ATLAS</strong> of Group Representations</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1_mj.html#X8033B61682EE6A23">1.2 <span class="Heading">The GAP Interface to the <strong class="pkg">ATLAS</strong> of Group Representations</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1_mj.html#X7B864EDC7CB211FD">1.3 <span class="Heading">What's New in AtlasRep, Compared to Older Versions?
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap1_mj.html#X7E024E377C2E8C27">1.3-1 <span class="Heading">What's New in Version 2.1.9?
(August 2024)</span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap1_mj.html#X85FE8BE580751F58">1.3-2 <span class="Heading">What's New in Version 2.1.8? (January 2024)
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap1_mj.html#X7B5DB23579AD1066">1.3-3 <span class="Heading">What's New in Version 2.1.7? (August 2023)
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap1_mj.html#X7D4644167F6C9D4C">1.3-4 <span class="Heading">What's New in Version 2.1.6? (October 2022)
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap1_mj.html#X823B2D767C11246A">1.3-5 <span class="Heading">What's New in Version 2.1.5? (August 2022)
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap1_mj.html#X7BEBD3618260FE03">1.3-6 <span class="Heading">What's New in Version 2.1.4? (August 2022)
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap1_mj.html#X7DB709CD7FECC9B1">1.3-7 <span class="Heading">What's New in Version 2.1.3? (August 2022)
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap1_mj.html#X7A2A60D7841AF2CE">1.3-8 <span class="Heading">What's New in Version 2.1.2? (March 2022)
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap1_mj.html#X7B0E14E57E9FC37E">1.3-9 <span class="Heading">What's New in Version 2.1.1? (February 2022)
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap1_mj.html#X7DA8E7647A422775">1.3-10 <span class="Heading">What's New in Version 2.1.0? (May 2019)
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap1_mj.html#X7EACAC887E257302">1.3-11 <span class="Heading">What's New in Version 1.5.1? (March 2016)
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap1_mj.html#X86002B747AE0741B">1.3-12 <span class="Heading">What's New in Version 1.5? (July 2011)
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap1_mj.html#X878EBA108716DDF0">1.3-13 <span class="Heading">What's New in Version 1.4? (June 2008)
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap1_mj.html#X87A53CE182C9E086">1.3-14 <span class="Heading">What's New in Version 1.3.1? (October 2007)
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap1_mj.html#X79CCC5517897924C">1.3-15 <span class="Heading">What's New in Version 1.3? (June 2007)
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap1_mj.html#X7BDCA94D83DCFFB8">1.3-16 <span class="Heading">What's New in Version 1.2? (November 2003)
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap1_mj.html#X831628B47F669B29">1.3-17 <span class="Heading">What's New in Version 1.1? (October 2002)
</span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1_mj.html#X82A988D47DFAFCFA">1.4 <span class="Heading">Acknowledgements</span></a>
</span>
</div>
</div>
<div class="ContChap"><a href="chap2_mj.html#X8171B3798425E183">2 <span class="Heading">Tutorial for the <strong class="pkg">AtlasRep</strong> Package</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2_mj.html#X79CECBFE7A8EE2C2">2.1 <span class="Heading">Accessing a Specific Group in <strong class="pkg">AtlasRep</strong></span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2_mj.html#X87CD0FFB87D0BDD7">2.1-1 <span class="Heading">Accessing a Group in <strong class="pkg">AtlasRep</strong> via its Name</span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2_mj.html#X826C681B7EB3B67A">2.1-2 <span class="Heading">Accessing a Maximal Subgroup of a Group in <strong class="pkg">AtlasRep</strong></span></a>
</span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2_mj.html#X7F616D9685292471">2.2 <span class="Heading">Accessing Specific Generators in <strong class="pkg">AtlasRep</strong></span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2_mj.html#X7D3A29F879B140D3">2.3 <span class="Heading">Basic Concepts used in <strong class="pkg">AtlasRep</strong></span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2_mj.html#X7E2FB5E5852AD970">2.3-1 <span class="Heading">Groups, Generators, and Representations</span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2_mj.html#X7DC99E4284093FBB">2.3-2 <span class="Heading">Straight Line Programs</span></a>
</span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2_mj.html#X87ACE06E82B68589">2.4 <span class="Heading">Examples of Using the <strong class="pkg">AtlasRep</strong> Package</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2_mj.html#X8563D96878AC685C">2.4-1 <span class="Heading">Example: Class Representatives</span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2_mj.html#X81C9233778A3A817">2.4-2 <span class="Heading">Example: Permutation and Matrix Representations</span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2_mj.html#X8284D7E87D38889C">2.4-3 <span class="Heading">Example: Outer Automorphisms</span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2_mj.html#X794D669E7A507310">2.4-4 <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_mj.html#X7CE7C2068017525C">2.4-5 <span class="Heading">Example: Using the <strong class="pkg">GAP</strong> Library of Tables of Marks</span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2_mj.html#X82550A9683E0DCA2">2.4-6 <span class="Heading">Example: Index <span class="SimpleMath">\(770\)</span> Subgroups in <span class="SimpleMath">\(M_{22}\)</span></span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2_mj.html#X84F9D163795B7DE1">2.4-7 <span class="Heading">Example: Index <span class="SimpleMath">\(462\)</span> Subgroups in <span class="SimpleMath">\(M_{22}\)</span></span></a>
</span>
</div></div>
</div>
<div class="ContChap"><a href="chap3_mj.html#X87EAF8E578D95793">3 <span class="Heading">The User Interface of the <strong class="pkg">AtlasRep</strong> Package</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap3_mj.html#X87D26B13819A8209">3.1 <span class="Heading">Accessing vs. Constructing Representations</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap3_mj.html#X81BF52FC7B8C08D4">3.2 <span class="Heading">Group Names Used in the <strong class="pkg">AtlasRep</strong> Package</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap3_mj.html#X795DB7E486E0817D">3.3 <span class="Heading">Standard Generators Used in the <strong class="pkg">AtlasRep</strong> Package</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap3_mj.html#X861CD545803B97E8">3.4 <span class="Heading">Class Names Used in the <strong class="pkg">AtlasRep</strong> Package</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3_mj.html#X850EEDEE831EE039">3.4-1 <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="chap3_mj.html#X78166D1D7D18EFBF">3.4-2 AtlasClassNames</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3_mj.html#X7B14A254870BA5A1">3.4-3 AtlasCharacterNames</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap3_mj.html#X7CC88B2287A72204">3.5 <span class="Heading">Accessing Data via <strong class="pkg">AtlasRep</strong></span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3_mj.html#X79DACFFA7E2D1A99">3.5-1 DisplayAtlasInfo</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3_mj.html#X7CE4FF2380DB47F2">3.5-2 <span class="Heading">Examples for DisplayAtlasInfo</span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3_mj.html#X7D1CCCF8852DFF39">3.5-3 AtlasGenerators</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3_mj.html#X801F2E657C8A79ED">3.5-4 AtlasProgram</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3_mj.html#X83DFD8967E6BC831">3.5-5 AtlasProgramInfo</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3_mj.html#X841478AB7CD06D44">3.5-6 OneAtlasGeneratingSetInfo</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3_mj.html#X84C2D76482E60E42">3.5-7 AllAtlasGeneratingSetInfos</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3_mj.html#X80AABEE783363B70">3.5-8 <span class="Heading">AtlasGroup</span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3_mj.html#X7A3E460C82B3D9A3">3.5-9 <span class="Heading">AtlasSubgroup</span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3_mj.html#X87BC7D9C7BA2F27A">3.5-10 AtlasRepInfoRecord</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3_mj.html#X87B012B080D01413">3.5-11 <span class="Heading">EvaluatePresentation</span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3_mj.html#X79F63403821C1E24">3.5-12 <span class="Heading">StandardGeneratorsData</span></a>
</span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap3_mj.html#X790D5F8C7E8E6947">3.6 <span class="Heading"><strong class="pkg">Browse</strong> Applications Provided by <strong class="pkg">AtlasRep</strong></span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3_mj.html#X7F31A7CB841FE63F">3.6-1 BrowseMinimalDegrees</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3_mj.html#X84ED4FC182C28198">3.6-2 BrowseBibliographySporadicSimple</a></span>
</div></div>
</div>
<div class="ContChap"><a href="chap4_mj.html#X797694467B534D0E">4 <span class="Heading">Customizations of the <strong class="pkg">AtlasRep</strong> Package</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4_mj.html#X7F25ECBA7B675901">4.1 <span class="Heading">Installing the <strong class="pkg">AtlasRep</strong> Package</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4_mj.html#X851A50E6810EF8C5">4.2 <span class="Heading">User Preferences of the <strong class="pkg">AtlasRep</strong> Package</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4_mj.html#X7C3293A98577EE68">4.2-1 <span class="Heading">User preference <code class="code">AtlasRepAccessRemoteFiles</code></span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4_mj.html#X7C36E9A78021A71A">4.2-2 <span class="Heading">User preference <code class="code">AtlasRepDataDirectory</code></span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4_mj.html#X7F21FFBE7F8108E4">4.2-3 <span class="Heading">User preference <code class="code">AtlasRepTOCData</code></span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4_mj.html#X8766BE5D7AD6C526">4.2-4 <span class="Heading">User preference <code class="code">CompressDownloadedMeatAxeFiles</code></span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4_mj.html#X81AD105979465162">4.2-5 <span class="Heading">User preference <code class="code">FileAccessFunctions</code></span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4_mj.html#X85C48D6D81095161">4.2-6 <span class="Heading">User preference <code class="code">AtlasRepLocalServerPath</code></span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4_mj.html#X79993585808450FA">4.2-7 <span class="Heading">User preference <code class="code">HowToReadMeatAxeTextFiles</code></span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4_mj.html#X7B8F757B85F87936">4.2-8 <span class="Heading">User preference <code class="code">WriteHeaderFormatOfMeatAxeFiles</code></span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4_mj.html#X7941C4378261E28A">4.2-9 <span class="Heading">User preference <code class="code">WriteMeatAxeFilesOfMode2</code></span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4_mj.html#X877E40DB7A4E36C9">4.2-10 <span class="Heading">User preference <code class="code">BaseOfMeatAxePermutation</code></span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4_mj.html#X81F055037F9D3068">4.2-11 <span class="Heading">User preference <code class="code">DisplayFunction</code></span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4_mj.html#X862C660878D422FA">4.2-12 <span class="Heading">User preference <code class="code">AtlasRepMarkNonCoreData</code></span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4_mj.html#X80958D068147325B">4.2-13 <span class="Heading">User preference <code class="code">DebugFileLoading</code></span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4_mj.html#X850D135E79EFF3F7">4.2-14 <span class="Heading">User preference <code class="code">AtlasRepJsonFilesAddresses</code></span></a>
</span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4_mj.html#X7C50F18587ADC3B5">4.3 <span class="Heading">Web Contents for the <strong class="pkg">AtlasRep</strong> Package</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4_mj.html#X7FB64AD37D4620E6">4.4 <span class="Heading">Extending the <strong class="pkg">ATLAS</strong> Database</span></a>
</span>
</div>
</div>
<div class="ContChap"><a href="chap5_mj.html#X7B0718A178BB10CA">5 <span class="Heading">Extensions of the <strong class="pkg">AtlasRep</strong> Package</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap5_mj.html#X78E7F7347DE8A125">5.1 <span class="Heading">Notify Additional Data</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap5_mj.html#X81B5FA0578257653">5.1-1 <span class="Heading">AtlasOfGroupRepresentationsNotifyData</span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap5_mj.html#X7E0DC24681F17A9D">5.1-2 AtlasOfGroupRepresentationsForgetData</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap5_mj.html#X81C5440983E47DBD">5.1-3 StringOfAtlasTableOfContents</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap5_mj.html#X7A6024EC87A95E0B">5.2 <span class="Heading">The Effect of Extensions on the User Interface</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap5_mj.html#X7E7307FC835D09DF">5.3 <span class="Heading">An Example of Extending the <strong class="pkg">AtlasRep</strong> Data</span></a>
</span>
</div>
</div>
<div class="ContChap"><a href="chap6_mj.html#X83827EDB7D36C407">6 <span class="Heading">New <strong class="pkg">GAP</strong> Objects and Utility Functions provided by the
<strong class="pkg">AtlasRep</strong> Package</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap6_mj.html#X8121E9567A7137C9">6.1 <span class="Heading">Straight Line Decisions</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap6_mj.html#X8787E2EC7DB85A89">6.1-1 IsStraightLineDecision</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap6_mj.html#X82AFAD9F7FA5CE8A">6.1-2 LinesOfStraightLineDecision</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap6_mj.html#X7B1A43427BD97FDF">6.1-3 NrInputsOfStraightLineDecision</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap6_mj.html#X82A3632782E45F35">6.1-4 ScanStraightLineDecision</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap6_mj.html#X825C4E4180F3D989">6.1-5 StraightLineDecision</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap6_mj.html#X7E7B328A84685480">6.1-6 ResultOfStraightLineDecision</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap6_mj.html#X7C94ECAC8583CEAE">6.1-7 <span class="Heading">Semi-Presentations and Presentations</span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap6_mj.html#X7C13D08C7D55E20A">6.1-8 AsStraightLineDecision</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap6_mj.html#X7EA613C57DDC67D5">6.1-9 StraightLineProgramFromStraightLineDecision</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap6_mj.html#X7BE856BC785A9E8F">6.2 <span class="Heading">Black Box Programs</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap6_mj.html#X87CAF2DE870D0E3B">6.2-1 IsBBoxProgram</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap6_mj.html#X7EA20532868F9863">6.2-2 ScanBBoxProgram</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap6_mj.html#X7D211A5D8602B330">6.2-3 RunBBoxProgram</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap6_mj.html#X869BACFB80A3CC87">6.2-4 ResultOfBBoxProgram</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap6_mj.html#X826ACFE887E0B6B8">6.2-5 AsBBoxProgram</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap6_mj.html#X7D36DFA87C8B2C48">6.2-6 AsStraightLineProgram</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap6_mj.html#X87E1F08D80C9E069">6.3 <span class="Heading">Representations of Minimal Degree</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap6_mj.html#X7DC66D8282B2BB7F">6.3-1 MinimalRepresentationInfo</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap6_mj.html#X7E1B76DC86A8C405">6.3-2 MinimalRepresentationInfoData</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap6_mj.html#X79C4C9F683E919C9">6.3-3 SetMinimalRepresentationInfo</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap6_mj.html#X7FC33DFF8481F8D1">6.3-4 <span class="Heading">Criteria Used to Compute Minimality Information</span></a>
</span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap6_mj.html#X7E5CB1637F127B2E">6.4 <span class="Heading">A JSON Interface</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap6_mj.html#X7870BBB184574D18">6.4-1 <span class="Heading">Why JSON?</span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap6_mj.html#X87A307D284975AA9">6.4-2 AGR.JsonText</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap6_mj.html#X79DF4DC67DCFE27B">6.4-3 AGR.GapObjectOfJsonText</a></span>
</div></div>
</div>
<div class="ContChap"><a href="chap7_mj.html#X7F77634D817156B3">7 <span class="Heading">Technicalities of the <strong class="pkg">AtlasRep</strong> Package</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap7_mj.html#X7DC2B7917DC30B28">7.1 <span class="Heading">Global Variables Used by the <strong class="pkg">AtlasRep</strong> Package</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap7_mj.html#X8006BE167EB81E16">7.1-1 InfoAtlasRep</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap7_mj.html#X78601C3A87921E08">7.1-2 InfoCMeatAxe</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap7_mj.html#X80D5EF9A7FEF124B">7.1-3 InfoBBox</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap7_mj.html#X84A157BF7D0CB270">7.1-4 AGR</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap7_mj.html#X7BEC94A6781E126E">7.1-5 AtlasOfGroupRepresentationsInfo</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap7_mj.html#X81C5B5E78215169D">7.2 <span class="Heading">How to Customize the Access to Data files</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap7_mj.html#X7D76D4437A9646E7">7.3 <span class="Heading">Reading and Writing MeatAxe Format Files</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap7_mj.html#X83D5103780E1238F">7.3-1 ScanMeatAxeFile</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap7_mj.html#X7DDD09BE87063052">7.3-2 MeatAxeString</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap7_mj.html#X79D9AE4878E9DFA6">7.3-3 FFList</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap7_mj.html#X8477AA668733255C">7.3-4 CMtxBinaryFFMatOrPerm</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap7_mj.html#X872FA00C7F791FBB">7.3-5 FFMatOrPermCMtxBinary</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap7_mj.html#X7FEE162B7F63BEA0">7.4 <span class="Heading">Reading and Writing <strong class="pkg">ATLAS</strong> Straight Line Programs</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap7_mj.html#X7D6617E47B013A37">7.4-1 ScanStraightLineProgram</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap7_mj.html#X82842D807A7B7DF7">7.4-2 AtlasStringOfProgram</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap7_mj.html#X809898027EFDA56E">7.5 <span class="Heading">Data Types Used in the <strong class="pkg">AtlasRep</strong> Package</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap7_mj.html#X836AA4EA8346BE5B">7.5-1 AGR.DeclareDataType</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap7_mj.html#X7A86627B80980F61">7.6 <span class="Heading">Filenames Used in the <strong class="pkg">AtlasRep</strong> Package</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap7_mj.html#X8486CCB181FC99A3">7.6-1 AGR.ParseFilenameFormat</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap7_mj.html#X78AB92DB7C2CAB6E">7.6-2 AGR.FileContents</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap7_mj.html#X7CCA3DE97E756F01">7.7 <span class="Heading">The record component <code class="code">identifier</code> used by the <strong class="pkg">AtlasRep</strong> Package</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap7_mj.html#X81685FC979BC3FB8">7.7-1 <span class="Heading">AtlasRepIdentifier</span></a>
</span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap7_mj.html#X7B1DECF080AEB806">7.8 <span class="Heading">The Tables of Contents of the <strong class="pkg">AtlasRep</strong> Package</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap7_mj.html#X79C5F2267ACCF52A">7.9 <span class="Heading">Sanity Checks for the <strong class="pkg">AtlasRep</strong> Package</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap7_mj.html#X86FDCF0B85496AE5">7.9-1 <span class="Heading">Sanity Checks for a Table of Contents</span></a>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap7_mj.html#X7FBFA8D287B807D2">7.9-2 <span class="Heading">Other Sanity Checks</span></a>
</span>
</div></div>
</div>
<div class="ContChap"><a href="chapBib_mj.html"><span class="Heading">References</span></a></div>
<div class="ContChap"><a href="chapInd_mj.html"><span class="Heading">Index</span></a></div>
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