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<span class="ontSS><br /><span class="nocss" nbsp;/span<a href="chap69_mj.html#X7E84E1927EBFD483">69.5-3 MTX.DegreeSplittingField<pan class"ContSS"<br /><span class="nocss"> </span><a href="chap69_mj.html#java.lang.StringIndexOutOfBoundsException: Index 106 out of bounds for length 7
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<span class="ContSS"><br /><span class="nocss">  </span><a href="chap69_mj.html#X81A6ECB078D4441C">69.10-5 MTX.Distinguish</a></span>
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< class"nocss&;&bsp;span<href=hap69_mjhX830500CE7ABF6039">69.7-6 MTX.BasisRadical</a></span>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap69_mj.html#X7E5038F384DBCAEC">69.7-11 MTX. class="ContSS"><br /><span class="nocss"> </span><a href="chap69_mj.html#X81A6ECB078D4441C">69.10-5 MTX.Distinguish<div
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<pan ="">r/< class="nocss"> nbsp;</span><a href="chap69_mj.html#X8519B3C486AC8C7E">69.9-3 <p>creates a MeatAxe module over <var class="Arg">field</var> from a list of invertible matrices <var class="Arg">gens<a java.lang.StringIndexOutOfBoundsException: Range [147, 146) out of bounds for length 244
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<span =ContSS"<br/>< class="nocss"> </span><a href="chap69_mj.html#X7D199DB6804F5D8F">69.13-9 SMTX.java.lang.StringIndexOutOfBoundsException: Index 136 out of bounds for length 0
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<h3p> withagroup <p>returns the in which the matrices act.</p>
<
<><trong class=pkg"GAP/strong> uses the improved java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
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<h4>69.1 <span class="Heading">MeatAxe Modulesp>codeclass=fjava.lang.StringIndexOutOfBoundsException: Index 20 out of bounds for length 0
<>< id=X801022027B066497 pjava.lang.StringIndexOutOfBoundsException: Range [9, 8) out of bounds for length 114
<h5>69.1-1 <span class="Heading">GModuleByMatsjava.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<
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<p>MeatAxe routines arethedegreeof splittingfield theprimeMeatAxeroutinesaccessed theglobal <ode ""codew a java.lang.StringIndexOutOfBoundsException: Range [110, 109) out of bounds for length 388
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<dt><strongjava.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
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<p><a id="X87B82250801A1BD0" name="p>returns a decomposition of <var class="Arg/java.lang.StringIndexOutOfBoundsException: Index 1 out of bounds for length 0
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<p>creates a MeatAxe module over <<dd><p>one of the indecomposable components,</p
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<h5>69.2-d =func"<table class="func" width="100%"><tr><td class=">A module is absolutely irreducible if it remains irreducible over the: thejava.lang.StringIndexOutOfBoundsException: Range [125, 123) out of bounds for length 259
<"java.lang.StringIndexOutOfBoundsException: Index 24 out of bounds for length 0
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<h5>69.5>69.-2MTXProperSubmoduleBasish5
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<p><a decomposition of<r class=module<var as adirectsumof indecomposablemodules. It returns a list, each entry is a list of form [<var java.lang.StringIndexOutOfBoundsException: Index 161 out of bounds for length 0
<p><a id="X7C2352A17B505AF6" name="X7C2352A17B505AF6"></a></<pp>returnsa list ofbases <
<>69. <span class="Heading">Accessing a Module</span></h4>
<p
<p><a id="X78E61F7287BF1D0C" name="<><strong class"Mark"><codejava.lang.StringIndexOutOfBoundsException: Index 1 out of bounds for length 0
<h5>69.4-1 MTX.Generators</h5>
<div class="funcjava.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
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<div classjava.lang.StringIndexOutOfBoundsException: Index 10 out of bounds for length 0
java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
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<div class="func"><preturnsjava.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0 pjava.lang.StringIndexOutOfBoundsException: Index 7 out of bounds for length 0
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<div class="func"><table class="
<returns a decomposition of <var class="Arg">module</var> as a direct sum of indecomposable modules. It returns a list, each entry is
<p><a id
<h5>69.6-3 MTX.HomogeneousComponents
<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<p> the <var java.lang.StringIndexOutOfBoundsException: Range [53, 52) out of bounds for length 289
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<dt><strong class="Mark"><code class="code">indices<java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<dd><p>the index numbers to the action class=Ajava.lang.StringIndexOutOfBoundsException: Range [80, 78) out of bounds for length 449
<h4>69.7 <span class="Heading">Finding Submodulescreates java.lang.StringIndexOutOfBoundsException: Range [0, 16) out of bounds for length 0
<p><a id=java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
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<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">an style='color: green'>8227; MTX.SubmoduleGModulepjava.lang.StringIndexOutOfBoundsException: Range [11, 10) out of bounds for length 460
<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code<div class="unc"><table =func"width""><><td class"tdleft>code class=func>#8227 java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<p><var class=java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
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<>69.2 java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
< java.lang.StringIndexOutOfBoundsException: Range [11, 10) out of bounds for length 236
submodule<java.lang.StringIndexOutOfBoundsException: Range [51, 50) out of bounds for length 145
java.lang.StringIndexOutOfBoundsException: Range [5, 4) out of bounds for length 298
<h5>java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<div h5>69.9-2thesamejava.lang.StringIndexOutOfBoundsException: Range [24, 20) out of bounds for length 100
< class="func"><table idth"100>>class""<code class=">#8227;./ode( class"Arg">var<td>java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<p><a id="X871D9AF87FABFB00" name="<p><a id="X8519B3C486AC8C7E" name="X8519B3C486AC8C7Eclass=t">< =func>& .ducedAction<code>< class">module/>, var classA"sub<var[ < =Arg"type/]<<p>Computes induced actions on submodules or factor modules and also returns the corresponding bases. The action taken is binary encoded in <var class="Arg">type</var>: <code class="code">1</code> stands for subspace acticode/code>for the module basisjava.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<h5><h5>699- BasisModuleHomomorphisms
<class"unc"<classfunc><ableclass=""idth"%">trclass"tdleft">codeclass=func>8227;MTX.</code(< ="Arg"module1<>/</tr>/>
<pa list ofof allminimal submodules.<p
<p><" name"X864527B77A359195">/a</p>
<h5
<divclass"unc><ble class="func" width="100%"><tr><td class="tdleft"><code class="func">‣ MTX.BasesMaximalSubmodules</code>( <var class="Arg">module</var> )</td><
<p>returns a list of bases of all maximal submodules.java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<p><a id="X830500CE7ABF6039" java.lang.StringIndexOutOfBoundsException: Index 30 out of bounds for length 0
<</h5>
< =functable"><td class=tdleft"<codeclass=unc>#8227.Equivalent/ode( <=">module1</>,var class="rg"></ar)/td><td class="tdright">( function )</td></tr></table></div>
<p id"
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<h5>69.7-9 MTX.BasesCompositionSeries</h5>
<div class="func"><table class="func" width="100%"><tr><td class="java.lang.StringIndexOutOfBoundsException: Index 69 out of bounds for length 0
java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<p><a id="X7E77F9A97EA855E2
<>697-0 returns a basisof the space of homomorphisms from the irreducible module <var class="Arg">module1</var> to <var class="Arg">module2</var>.</p>
< class="java.lang.StringIndexOutOfBoundsException: Index 13 out of bounds for length 0
>java.lang.StringIndexOutOfBoundsException: Index 9 out of bounds for length 0
<p><a id="><var class="Argjava.lang.StringIndexOutOfBoundsException: Range [52, 36) out of bounds for length 504
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< func>class"funcwidth"
<p>java.lang.StringIndexOutOfBoundsException: Range [17, 16) out of bounds for length 101
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<h4>9. <span class=H
<=java.lang.StringIndexOutOfBoundsException: Range [43, 36) out of bounds for length 237
<h5>69.8-1 MTX.NormedBasisAndBaseChange</h5>
<div class="func"><table class="func"java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<>java.lang.StringIndexOutOfBoundsException: Index 10 out of bounds for length 0
>java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
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<div h5>69.11-1 MTX.java.lang.StringIndexOutOfBoundsException: Index 1 out of bounds for length 0
<p>creates a new class"func"= 100"><tr<td classjava.lang.StringIndexOutOfBoundsException: Range [24, 23) out of bounds for length 176
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<>.3MTX<h5>
<div class=java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
creates anewmodulecorrespondingtoaction java.lang.StringIndexOutOfBoundsException: Range [60, 59) out of bounds for length 344
<p>The basis <var class="Arg">sub</var> has to be given in normed form. (That is it java.lang.StringIndexOutOfBoundsException: Index 87 out of bounds for length 0
<ph5>69java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<h5>69.8-4 MTX.InducedActionSubMatrix</h5>
<div class="func"><table class="func"
<java.lang.StringIndexOutOfBoundsException: Range [5, 4) out of bounds for length 265
<java.lang.StringIndexOutOfBoundsException: Range [5, 4) out of bounds for length 298
>
<p>a="X7B137BE5877A7FA1java.lang.StringIndexOutOfBoundsException: Range [34, 33) out of bounds for length 62
<div class=1 anclass""><span<java.lang.StringIndexOutOfBoundsException: Range [45, 44) out of bounds for length 94
< the corresponding.Theaction
<p>All these routines return <code class="keyw">failspan class=>java.lang.StringIndexOutOfBoundsException: Range [28, 27) out of bounds for length 83
<p><a id="X8040270F791514C8" name="X8040270F791514C8"></a></ ""gap&<G"gapt/java.lang.StringIndexOutOfBoundsException: Range [40, 37) out of bounds for length 94
<h4>69.9 <span class="fail
<p><a id="X8292535D8533671C=java.lang.StringIndexOutOfBoundsException: Range [24, 22) out of bounds for length 94
<h5>69.9-1 MTX<span class"pa78java.lang.StringIndexOutOfBoundsException: Range [29, 27) out of bounds for length 62
<div class="func"java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<returns ofthe
<
<h5>69.9-2 MTX.BasisModuleEndomorphisms</h5>
<div class="func"java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<p>returns a java.lang.StringIndexOutOfBoundsException: Range [0, 18) out of bounds for length 0
<8519 namejava.lang.StringIndexOutOfBoundsException: Range [53, 52) out of bounds for length 62
<>69.3< ""table"width"%"< java.lang.StringIndexOutOfBoundsException: Range [79, 72) out of bounds for length 230
<div class="func"><table <var an irreducible spanclass=SimpleMath"\G)java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<p>java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<p><a id="<p>The <codeclass="java.lang.StringIndexOutOfBoundsException: Range [6, 5) out of bounds for length 108
<h5>69.9-4 MTX.ModuleAutomorphisms</h5>
<divdiv class="xample><pre>
<java.lang.StringIndexOutOfBoundsException: Range [11, 10) out of bounds for length 166
<p><a id="X850324FF7912A541" name="span class="GAPprompt">gap></span> <span">OrthogonalSignjava.lang.StringIndexOutOfBoundsException: Range [96, 95) out of bounds for length 120
<span class"APprompt"gap&;/pan><="&;/<class"java.lang.StringIndexOutOfBoundsException: Range [62, 60) out of bounds for length 120
< lower-java.lang.StringIndexOutOfBoundsException: Index 36 out of bounds for length 2
<div java.lang.StringIndexOutOfBoundsException: Index 10 out of bounds for length 0
<p>returns an isomorphism from <var class="Arg">module1</var> to <var java.lang.StringIndexOutOfBoundsException: Index 72 out of bounds for length 0
<3"name the module action on a random irreducible
<java.lang.StringIndexOutOfBoundsException: Index 27 out of bounds for length 0
<div class="func"><table class=java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0 sArg"mat<var> shouldvar class"Arg><ar class=SimpleMath>(times\<span <varclass="<var> defining homomorphism fromclass=Arg"module1/>to <varclass"Arg
2860"</a<>java.lang.StringIndexOutOfBoundsException: Range [25, 24) out of bounds for length 126
<</>
<div class="java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<p>returns a basis of the space of all homomorphisms
<p><aclass=<tablejava.lang.StringIndexOutOfBoundsException: Range [31, 30) out of bounds for length 293
<h5>69.10-5 MTX.Distinguish
<div java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<p>div="func"<java.lang.StringIndexOutOfBoundsException: Range [31, 30) out of bounds for length 298
<h4>69.11 <span class="java.lang.StringIndexOutOfBoundsException: Index 30 out of bounds for length 0
<p>The functions in this bGModulesh5
<p><a id="java.lang.StringIndexOutOfBoundsException: Index 19 out of bounds for length 0
<h5>69.11-1 MTX.java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<div class="func"><B5"name=></a>></p> p
<p><a id
6911-./h5
<java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<p>java.lang.StringIndexOutOfBoundsException: Index 6 out of bounds for length 0
<p><a id="<div class="<java.lang.StringIndexOutOfBoundsException: Range [25, 24) out of bounds for length 223
<h5>69.11-3 MTX.InvariantQuadraticForm</h5>
<div class="func"><table class="func" width="100%"><tr><td class="tdlefteataxe.()code></> p eitherthe of the absolutelyirreduciblemodule<class""module<
<p>If the characteristic of <var class="Arg">module</var> is odd then <code class="keyw
java.lang.StringIndexOutOfBoundsException: Range [39, 38) out of bounds for length 92
<div class="
>gtjava.lang.StringIndexOutOfBoundsException: Range [38, 37) out of bounds for length 87
< <span
<span<h5>6912- java.lang.StringIndexOutOfBoundsException: Index 16 out of bounds for length 0
. . . .
java.lang.StringIndexOutOfBoundsException: Index 24 out of bounds for length 8
. . 1 .
java.lang.StringIndexOutOfBoundsException: Index 8 out of bounds for length 8
<span class="GAPprompt""79F16677C2EE095">/<>
<span java.lang.StringIndexOutOfBoundsException: Index 8 out of bounds for length 0
<span class="GAPprompt">gap></span> <span class="java.lang.StringIndexOutOfBoundsException: Index 54 out of bounds for length 50
p>c java.lang.StringIndexOutOfBoundsException: Range [22, 21) out of bounds for length 50
<span class="GAPprompt">gap<5>9.12-1SMTX.ompleteBasis/java.lang.StringIndexOutOfBoundsException: Index 36 out of bounds for length 36
pan=java.lang.StringIndexOutOfBoundsException: Range [23, 22) out of bounds for length 94
<span class="GAPprompt">gap></span> <span class="GAPinput">q:= MTX.p>extends the partial basis <var class="Arg">pbasis</var> to a basis of the full spaceArg/java.lang.StringIndexOutOfBoundsException: Range [0, 129) out of bounds for length 0
<class="GAPprompt">gap></span> <span class="GAPinput">q = - TransposedMat( q ); # antisymmetric inv. bilinear form</span>
true
</pre></div>
<p><a id=<> getter accessinternal Foreachroutine, the setters java.lang.StringIndexOutOfBoundsException: Range [107, 106) out of bounds for length 155
java.lang.StringIndexOutOfBoundsException: Index 23 out of bounds for length 0
<
<p>returns ajava.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<p><a id="X8168EB348474046B" name
<h5>69.11-5 MTX.OrthogonalSign
<div class=java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
impleMath()/span- If<var ="module</var> does not fix a nondegenerate quadratic java.lang.StringIndexOutOfBoundsException: Index 187 out of bounds for length 102
<p>An error is signalled if <var class="Arg">module</var> is p>list <code class="code">[newgens,coefflist]</code> giving an used forchopping.</p>
<div class="example"><pre>
<span class="GAPprompt">gapajava.lang.StringIndexOutOfBoundsException: Range [0, 4) out of bounds for length 0
< class="APprompt>gap></span> <span class="GAPinput">MTX.OrthogonalSign( GModuleByMats( mats, GF(2) ) );</span> 1
<span class="GAPpromptpmatrixof <code class="unc>SMTX.AlgEl</code> ( href="chap69_mj.X7ABCD69880772B2D"><span class="RefLink">69.13-2</span></a>).</p>
java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
-< id="417F86A7A20F128""X8417F86A7A20F128"<a<p
<span class="GAPprompt">gap>java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0 0
<class">&t</>span class="GAPinput">mats:= f="chap69_mj.html#X7ABCD69880772B2D"><span class="RefLink">69.13-2</span></a>).</p>
<span class="GAPprompt">gap></span> <spanp<ajava.lang.StringIndexOutOfBoundsException: Range [0, 8) out of bounds for length 0
fail
</>
<h4>69.12 <span class="Heading">The Smash MeatAxe</span></h4java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<p>The standard MeatAxe provided in the <strong
<p>><a id"java.lang.StringIndexOutOfBoundsException: Index 22 out of bounds for length 0
<h5>69.12-1 SMTX.RandomIrreducibleSubGModule</h5>
<div class="func"><table class="func" width="100%"><tr><td class="tdleft">java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<
pa =java.lang.StringIndexOutOfBoundsException: Index 1 out of bounds for length 0
<.22 > thenullspace/java.lang.StringIndexOutOfBoundsException: Index 35 out of bounds for length 34
<class"func<table class="func" width="100%"><tr><td class="tdleft"><code
<p>finds an java.lang.StringIndexOutOfBoundsException: Index 14 out of bounds for length 0
<p><a id="X811339547D341BBE" namejava.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<h5>matrix centralising all java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
="java.lang.StringIndexOutOfBoundsException: Range [25, 24) out of bounds for length 293
java.lang.StringIndexOutOfBoundsException: Range [12, 11) out of bounds for length 78
<p><a id="div java.lang.StringIndexOutOfBoundsException: Range [11, 10) out of bounds for length 265
<p><a id="X87E49FCD867983B5" name="X87E49FCD867983B5"></java.lang.StringIndexOutOfBoundsException: Index 1 out of bounds for length 0
<h5>69.12-5 SMTX.Setter</h5>
<div class="func"><table class="func" width="100%"><tr><div class="chlinkbot"<class="chlink1">Goto Chapter: </span><a href="chap0_mj.html">Top</a> <a href="chap1_mj.html">1java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<p>returns a setter function for the component <code class="code">smashMeataxe.(string)</code>.</p>
<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">an style='color: green'>8227; SMTX.Getter</code>( <var class="Arg">string</var> )</td><td class="tdright">( function )</td></tr></table></div>
<p>returns a getter function for the component <code class="code">smashMeataxe.(string)</code>.</p>
<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">an style='color: green'>8227; SMTX.IrreducibilityTest</code>( <var class="Arg">module</var> )</td><td class="tdright">( function )</td></tr></table></div>
<p>Tests for irreducibility and sets a subbasis if reducible. It neither sets an irreducibility flag, nor tests it. Thus the routine also can simply be called to obtain a random submodule.</p>
<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">an style='color: green'>8227; SMTX.AbsoluteIrreducibilityTest</code>( <var class="Arg">module</var> )</td><td class="tdright">( function )</td></tr></table></div>
<p>Tests for absolute irreducibility and sets splitting field degree. It neither sets an absolute irreducibility flag, nor tests it.</p>
<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">an style='color: green'>8227; SMTX.MinimalSubGModule</code>( <var class="Arg">module</var>, <var class="Arg">cf</var>, <var class="Arg">nr</var> )</td><td class="tdright">( function )</td></tr></table></div>
<p>returns the basis of a minimal submodule of <var class="Arg">module</var> containing the indicated composition factor. It assumes <code class="code">Distinguish</code> has been called already.</p>
<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">an style='color: green'>8227; SMTX.MatrixSum</code>( <var class="Arg">matrices1</var>, <var class="Arg">matrices2</var> )</td><td class="tdright">( function )</td></tr></table></div>
<p>creates the direct sum of two matrix lists.</p>
<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">an style='color: green'>8227; SMTX.CompleteBasis</code>( <var class="Arg">module</var>, <var class="Arg">pbasis</var> )</td><td class="tdright">( function )</td></tr></table></div>
<p>extends the partial basis <var class="Arg">pbasis</var> to a basis of the full space by action of <var class="Arg">module</var>. It returns whether it succeeded.</p>
<p>The following getter routines access internal flags. For each routine, the appropriate setter's name is prefixed with <code class="code">Set</code>.</p>
<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">an style='color: green'>8227; SMTX.AlgEl</code>( <var class="Arg">module</var> )</td><td class="tdright">( function )</td></tr></table></div>
<p>list <code class="code">[newgens,coefflist]</code> giving an algebra element used for chopping.</p>
<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">an style='color: green'>8227; SMTX.AlgElNullspaceVec</code>( <var class="Arg">module</var> )</td><td class="tdright">( function )</td></tr></table></div>
<p>nullspace of the matrix evaluated under this factor.</p>
<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">an style='color: green'>8227; SMTX.CentMat</code>( <var class="Arg">module</var> )</td><td class="tdright">( function )</td></tr></table></div>
<p>matrix centralising all generators which is computed as a byproduct of <code class="func">SMTX.AbsoluteIrreducibilityTest</code> (<a href="chap69_mj.html#X7E692DC97AFB661E"><span class="RefLink">69.12-8</span></a>).</p>
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