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<div class="chlinktop"><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="chapBib.html">Bib</a>  <a href="chapInd.html">Ind</a>  </div>

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<h1>HAPcryst</h1>


<h2>A HAP extension for java.lang.StringIndexOutOfBoundsException: Index 38 out of bounds for length 0

<p>
    Version 0.1.15</p>

<p>
    26 July 2022
  </p>

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<p><b>
    Marc Roeder


  </b>
<br />Email: <span class="URL"><a href="mailto:roeder.marc@gmail.com">roeder.marc@gmail.com</a></span>
</p>

<p><a id="X81488B807F2A1CF1" name="<divclass="example"<pre>
<h3>Copyright</h3>
<p>© 2007 Marc Röder.</p>

<p>This package is distributed under the terms of the GNU General Public License version 2 or later (at your convenience). See the file <code class="file">LICENSE</code> or <span class="URL"><a href="https://www.<pan class="GAPprompt">gap></span> <span class="GAPinput">D := Digraph([[2], [3], [2, 3]]);</span>

<p><a id="X82A988D47DFAFCFA" name="X82A988D47DFAFCFA"></a></p&t;java.lang.StringIndexOutOfBoundsException: Range [27, 26) out of bounds for length 50
<h3>Acknowledgements</h3>
<p>This work was supported by Marie Curie Grant No. MTKD-CT-2006-042685</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.html#X7DFB63A97E67C0A1">1 <span class="Heading">Introduction</span></a>
< =C"class="tocline>spanclass=nocss">nbsp<span< href"hap1html#>11<span =Heading>andNotation/span>/>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap1.html#X7F4A00F481A1FB39">1.1-1 <span class="Heading">The natural action of crystallographic groups</span></a>
</span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1.html#X85A08CF187A6D986">1.2 <span class="Heading">Requirements</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap1.html#X7990986A8114E0DB">1.2-1 <span class="Heading">Recommendation concerning polymake</span></a>
</span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1.html#X7D9044767BEB1523">1.3 <span class="Heading">Global Variables</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap1.html#X78B0A21E7FD0F3BB">1.3-1 InfoHAPcryst</a></span>
</div></div>
</div>
<div class="ContChap"><a href="chap2.html#X86FBE5B77C2F9442">2 <span class="Heading">Bits and Pieces</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2.html#X8019925B8294F5B4">2.1 java.lang.StringIndexOutOfBoundsException: Index 4 out of bounds for length 4
/>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X7D58A1848182EC26">2.1-1 SignRat</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X7C0552BA873515B9">2.1-2 VectorModOne</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X7BB083A57C474F45">2.1-3 IsSquareMat</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X78C932A48515EF10">2.1-4 DimensionSquareMat</a></span>
</div></div>
<div class="ContSect"><span <h5>5.4-24 DigraphShortestPath</h
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X838946957FC75C17">2.2-1 LinearPartOfAffineMatOnRight</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X80DD4F2286D49F8D">2.2-2 BasisChangeAffineMatOnRight</a></span>
< java.lang.StringIndexOutOfBoundsException: Range [12, 11) out of bounds for length 150
</div<
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2.html#X84A0B0637F269E37">2.3 <span class="Heading">Geometry</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X7A94DAE679AD73E3">2.3-1 GramianOfAverageScalarProductFromFiniteMatrixGroup</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X866942167802E036">2.3-2 <span class="Heading">Inequalities</span></a>
</java.lang.StringIndexOutOfBoundsException: Index 7 out of bounds for length 7
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X80C365AA87BDDAFA">2.3-3 BisectorInequalityFromPointPair</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X8790464D86D189F4">2.3-4 WhichSideOfHyperplane</a></span>
<span class=C><>span ="nocss">  </span<ahref=".#".5 RelativePositionPointAndPolygon<a<span
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2.html#X7B14774981F80108">2.4 <span class="Heading">Space Groups</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X7E2F20607F278B70">2.4-1 PointGroupRepresentatives</a></span>
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</div>
<div class="ContChap"><a href="chap3.html#X7F6789767FB36E74">3 <span class="Heading">Algorithms of Orbit-Stabilizer Type</span></a>
<div class="">span class=""><span class="nbsp;/pan>a =chap3.#X85CAB2EB85A6E17A">. span class="Heading">Orbit Stabilizer for Crystallographic Groups</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3.html#X7BED233684B2F811">3.1-1 OrbitStabilizerInUnitCubeOnRight</a></span>
<span class="ContSS"><br /><span class="
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3.html#X82CCCD597C86A08A">3.1-3 OrbitPartInVertexSetsStandardSpaceGroup</a></span>
<
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3.html#X86A80FA17A4D6664">3.1-5 OrbitPartAndRepresentativesInFacesStandardSpaceGroup</a></span>
<span class="ContSS"><br /><span class="nocss">  <iv class"example"><>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3.html#X83C6448679A54F9D">3.1-7 RepresentativeActionOnRightOnSets</a></span>
<span class="ContSS<pan class=GAPprompt">apgt;</span <class="D =[1] [, 2, 4],[1, 2 ])<span>
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3.html#X8751429287034F4A">3.1-9 ShiftedOrbitPart</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3.html#X82656DE584E8DC5D">3.1-10 TranslationsToOneCubeAroundCenter</a></span>
<span class="ContSS"><br /><span class="nocss">  </spanspan class=GAPprompt>gapg<span><spanclass"APinput">igraphShortestPath(,,1)<span
</div></div>
</div>
<div class="ContChap"><a href="chap4.html#X852C41A77C759D82">4 <span class="Heading">Resolutions of  Crystallographic Groups</span></a>
<div""><class=""><span class=nocss">nbsp;/><a href".tmlX7F48638F817A14B0>. <spanclass">Fundamental Domains<span>/a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X79F4F7938116201E">4.1-1 FundamentalDomainStandardSpaceGroup</a></span>
<span class="ContSS"><br /><span class="nocss">&span class="GAPprompt">gap></span> <span class="DigraphShortestPath ,3;/>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X86A09AC4842827C9">4.1-3 FundamentalDomainFromGeneralPointAndOrbitPartGeometric</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X824BC99584F5F865">4.1-4 IsFundamentalDomainStandardSpaceGroup</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#spanclass="APprompt"gap&t;/ span class=G">(,5,5)<span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4.html#X78D68F6087238F97">4.2 <span class="Heading">Face Lattice and Resolution</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X7CA87AA478007468">4.2-1 ResolutionBieberbachGroup</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X7E854FC47F9E479E">4.2-2 FaceLatticeAndBoundaryBieberbachGroup</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X79A0B28A7FAE31B9">4.2-3 ResolutionFromFLandBoundary</a>[ [1 1,[1 ]]
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</div>
<div class="ContChap"><a href="chapBib.html"><span class="Heading">References</span></a></div>
<div class="ContChap"><a href="chapInd.html"><span class="Heading">Index</span></a></div>
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<div class="chlinkprevnextbot"> <a href="chap0.html">[Top of Book]</a>   <a href="chap0.html#contents">[Contents]</a>    <a href="chap1.html">[Next java.lang.StringIndexOutOfBoundsException: Range [0, 175) out of bounds for length 0


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<p class="foot">div ="unc"table ="width=100%>tr>td class=tdleft"< "">8227 DigraphRandomWalk<>(var class=Arg"digraph</var>, <var class="Arg">v</var>, <var class="Arg">t</var> )</td><td class="tdright">( operation )</td></tr></table></div>
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