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<?xml version="1.0" encoding="UTF-8"?> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en"> <head> <script type="text/javascript" src="https://cdn.jsdelivr.net/npm/mathjax@2/MathJax.js?config=TeX-AMS-MML_HTMLor </script> <title>GAP (ALCO) - Index</title> <meta http-equiv="content-type" content="text/html; charset=UTF-8" /> <meta name="generator" content="GAPDoc2HTML" /> <link rel="stylesheet" type="text/css" href="manual.css" /> <script src="manual.js" type="text/javascript"></script> <script type="text/javascript">overwriteStyle();</script> </head> <body class="chapInd" onload="jscontent()"> <div class="chlinktop"><span class="chlink1">Goto Chapter: </span><a href="chap0_mj.html">Top< <div class="chlinkprevnexttop"> <a href="chap0_mj.html">[Top of Book]</a> <a href="chap0_mj.ht <p id="mathjaxlink" class="pcenter"><a href="chapInd.html">[MathJax off]</a></p> <p><a id="X83A0356F839C696F" name="X83A0356F839C696F"></a></p> <div class="index"> <h3>Index</h3> <code class="func">\=</code> <a href="chap5_mj.html#X7F68456883DCEE5D">5.3-3</a> <br /> <code class="func">\in</code> <a href="chap5_mj.html#X87BDB89B7AAFE8AD">5.3-1</a> <br /> <code class="func">AlbertAlgebra</code> <a href="chap3_mj.html#X7A6AFFE07994B4A9">3.3-1</a> < <code class="func">AlbertVectorToHermitianMatrix</code> <a href="chap3_mj.html#X86003664 <code class="func">Basis</code>, Octonion Lattices <a href="chap5_mj.html#X825D41AE7A41164 <code class="func">BasisVectors</code>, Octonion Lattices <a href="chap5_mj.html#X825D41AE <code class="func">CanonicalBasis</code>, Octonion Lattices <a href="chap5_mj.html#X825D41 <code class="func">Closure</code> <a href="chap6_mj.html#X87E8AA6582245C3E">6.1-1</a> <br /> <code class="func">Coefficients</code>, Octonion Lattices <a href="chap5_mj.html#X83B4296D <code class="func">ComplexConjugate</code>, Octonions <a href="chap2_mj.html#X7DA1C9FC867 <code class="func">Degree</code>, Jordan Algebras <a href="chap3_mj.html#X7CFD4EB480976FF8 <code class="func">DesignValencies</code> <a href="chap4_mj.html#X7E7012EB7BFE889D">4.6-8< <code class="func">Determinant</code>, Jordan Algebras <a href="chap3_mj.html#X844D03667EC <code class="func">Dimension</code>, Octonion Lattices <a href="chap5_mj.html#X844164BC827 <code class="func">EisensteinIntegers</code> <a href="chap2_mj.html#X87AE22947AC81C0E">2. <code class="func">GeneratorsAsCoefficients</code> <a href="chap5_mj.html#X79113ABC7A39C <code class="func">GenericMinimalPolynomial</code> <a href="chap3_mj.html#X85D508B585390 <code class="func">GoldenModSigma</code> <a href="chap2_mj.html#X7C5123127E6FFFA7">2.5-3</ <code class="func">GramMatrix</code>, Octonion Lattices <a href="chap5_mj.html#X7F4BF54981 <code class="func">HermitianJordanAlgebraBasis</code> <a href="chap3_mj.html#X7C236EB080 <code class="func">HermitianMatrixToAlbertVector</code> <a href="chap3_mj.html#X8385802B <code class="func">HermitianMatrixToJordanVector</code> <a href="chap3_mj.html#X7D167A05 <code class="func">HermitianSimpleJordanAlgebra</code> <a href="chap3_mj.html#X859F001D7 <code class="func">HurwitzIntegers</code> <a href="chap2_mj.html#X7A4069927811A5B7">2.4-3< <code class="func">IcosianH4Generators</code> <a href="chap2_mj.html#X7F4267A77E5F8547">2 <code class="func">IcosianRing</code> <a href="chap2_mj.html#X87BAE3917C966AA5">2.5-1</a> <br <code class="func">IsAssociationSchemeJordanDesign</code> <a href="chap4_mj.html#X7DBF21 <code class="func">IsEisenInt</code> <a href="chap2_mj.html#X87AE22947AC81C0E">2.6-1</a> <br /> <code class="func">IsGossetLatticeGramMatrix</code> <a href="chap5_mj.html#X78F07E967C67 <code class="func">IsHurwitzInt</code> <a href="chap2_mj.html#X7A4069927811A5B7">2.4-3</a> <b <code class="func">IsIcosian</code> <a href="chap2_mj.html#X87BAE3917C966AA5">2.5-1</a> <br /> <code class="func">IsJordanAlgebra</code> <a href="chap3_mj.html#X878107A77FBFD00A">3.1-1< <code class="func">IsJordanAlgebraObj</code> <a href="chap3_mj.html#X878107A77FBFD00A">3. <code class="func">IsJordanDesign</code> <a href="chap4_mj.html#X82BCF4BA84BDEE9E">4.2-1</ <code class="func">IsJordanDesignWithAngleSet</code> <a href="chap4_mj.html#X848E40D6842 <code class="func">IsJordanDesignWithCardinality</code> <a href="chap4_mj.html#X7F730A1C <code class="func">IsJordanDesignWithPositiveIndicatorCoefficients</code> <a href="chap4 <code class="func">IsJordanDesignWithStrength</code> <a href="chap4_mj.html#X7C4ADEEA835 <code class="func">IsKleinInt</code> <a href="chap2_mj.html#X82AA45BF87E1AE33">2.6-2</a> <br /> <code class="func">IsLeechLatticeGramMatrix</code> <a href="chap5_mj.html#X86B3BD9C84639 <code class="func">IsOctavianInt</code> <a href="chap2_mj.html#X87ABC5C38446DA89">2.1-3</a> < <code class="func">IsOctonion</code> <a href="chap2_mj.html#X81A45FA7806BF5AC">2.1-1</a> <br /> <code class="func">IsOctonionAlgebra</code> <a href="chap2_mj.html#X81A45FA7806BF5AC">2.1 <code class="func">IsOctonionCollection</code> <a href="chap2_mj.html#X81A45FA7806BF5AC"> <code class="func">IsOctonionLattice</code> <a href="chap5_mj.html#X7C043B907EC1FE89">5.1 <code class="func">IsOctonionLatticeBasis</code>, Octonion Lattices <a href="chap5_mj.html <code class="func">IsPositiveDefinite</code> <a href="chap3_mj.html#X7C82B2EB78CF9C17">3. <code class="func">IsProjectiveJordanDesign</code> <a href="chap4_mj.html#X82BCF4BA84BDE <code class="func">IsRegularSchemeJordanDesign</code> <a href="chap4_mj.html#X7DBF21947A <code class="func">IsSpecialBoundJordanDesign</code> <a href="chap4_mj.html#X7CA9D3F585A <code class="func">IsSphericalJordanDesign</code> <a href="chap4_mj.html#X82BCF4BA84BDEE <code class="func">IsSublattice</code> <a href="chap5_mj.html#X7F68456883DCEE5D">5.3-3</a> <b <code class="func">IsSubset</code> <a href="chap5_mj.html#X7F68456883DCEE5D">5.3-3</a> <br /> <code class="func">IsTightJordanDesign</code> <a href="chap4_mj.html#X7DBF21947AB79F1B">4 <code class="func">JacobiPolynomial</code> <a href="chap4_mj.html#X872DC5F085155040">4.1- <code class="func">JordanAdjugate</code> <a href="chap3_mj.html#X806F76C07B315DE4">3.5-5</ <code class="func">JordanAlgebraGramMatrix</code> <a href="chap3_mj.html#X7B6084887C1C5A <code class="func">JordanDegree</code> <a href="chap3_mj.html#X7CFD4EB480976FF8">3.1-3</a> <b <code class="func">JordanDesignAddAngleSet</code> <a href="chap4_mj.html#X78AC6815875A20 <code class="func">JordanDesignAddCardinality</code> <a href="chap4_mj.html#X7F730A1C7FC <code class="func">JordanDesignAngleSet</code> <a href="chap4_mj.html#X78AC6815875A2024"> <code class="func">JordanDesignAnnihilatorPolynomial</code> <a href="chap4_mj.html#X80BE <code class="func">JordanDesignBoseMesnerAlgebra</code> <a href="chap4_mj.html#X85F7CF2D <code class="func">JordanDesignBoseMesnerIdempotentBasis</code> <a href="chap4_mj.html#X <code class="func">JordanDesignByAngleSet</code> <a href="chap4_mj.html#X840BF5428457449 <code class="func">JordanDesignByParameters</code> <a href="chap4_mj.html#X7FD006D77B3C9 <code class="func">JordanDesignCardinality</code> <a href="chap4_mj.html#X7F730A1C7FC9D9 <code class="func">JordanDesignConnectionCoefficients</code> <a href="chap4_mj.html#X80A <code class="func">JordanDesignDegree</code> <a href="chap4_mj.html#X82BB5F997B7B7B3A">4. <code class="func">JordanDesignFirstEigenmatrix</code> <a href="chap4_mj.html#X87C0A2067 <code class="func">JordanDesignIndicatorCoefficients</code> <a href="chap4_mj.html#X7C7C <code class="func">JordanDesignIntersectionNumbers</code> <a href="chap4_mj.html#X851F03 <code class="func">JordanDesignKreinNumbers</code> <a href="chap4_mj.html#X84E0CAFE83145 <code class="func">JordanDesignMultiplicities</code> <a href="chap4_mj.html#X7FB944C182A <code class="func">JordanDesignNormalizedAnnihilatorPolynomial</code> <a href="chap4_mj. <code class="func">JordanDesignNormalizedIndicatorCoefficients</code> <a href="chap4_mj. <code class="func">JordanDesignQPolynomials</code> <a href="chap4_mj.html#X87D80CFF7F4FD <code class="func">JordanDesignRank</code> <a href="chap4_mj.html#X82BB5F997B7B7B3A">4.2- <code class="func">JordanDesignReducedAdjacencyMatrices</code> <a href="chap4_mj.html#X7 <code class="func">JordanDesignSecondEigenmatrix</code> <a href="chap4_mj.html#X7FC9FDCC <code class="func">JordanDesignSpecialBound</code> <a href="chap4_mj.html#X858B619F7E32D <code class="func">JordanDesignStrength</code> <a href="chap4_mj.html#X7C4ADEEA8355A774"> <code class="func">JordanDesignSubdegrees</code> <a href="chap4_mj.html#X83501A01792752C <code class="func">JordanHomotope</code> <a href="chap3_mj.html#X800B48C383196E06">3.2-4</ <code class="func">JordanMatrixBasis</code> <a href="chap3_mj.html#X853480DC7F9B0BD7">3.5 <code class="func">JordanQuadraticOperator</code> <a href="chap3_mj.html#X79DF7566833EA9 <code class="func">JordanRank</code> <a href="chap3_mj.html#X7D20807E8513CEE8">3.1-2</a> <br /> <code class="func">JordanSpinFactor</code> <a href="chap3_mj.html#X86C6713C8178A69F">3.2- <code class="func">JordanTripleSystem</code> <a href="chap3_mj.html#X7B5ABEA7816F6258">3. <code class="func">KleinianIntegers</code> <a href="chap2_mj.html#X82AA45BF87E1AE33">2.6- <code class="func">LLLReducedBasisCoefficients</code> <a href="chap5_mj.html#X80B8907778 <code class="func">MOGLeechLatticeGeneratorMatrix</code> <a href="chap5_mj.html#X824D0D2 <code class="func">MOGLeechLatticeGramMatrix</code> <a href="chap5_mj.html#X824D0D267A7C <code class="func">Norm</code>, Jordan Algebras <a href="chap3_mj.html#X83B5D76B87AEF802">3 Octonions <a href="chap2_mj.html#X7CEAB1C67B22DA7E">2.2-1</a> <br /> Quaternions <a href="chap2_mj.html#X7F1D2B237E4AF7A6">2.4-1</a> <br /> <code class="func">OctavianIntegers</code> <a href="chap2_mj.html#X87ABC5C38446DA89">2.1- <code class="func">OctonionAlgebra</code> <a href="chap2_mj.html#X78767B4A7F44F77D">2.1-2< <code class="func">OctonionE8Basis</code> <a href="chap2_mj.html#X7E4DEB1E7C7F2C1D">2.1-4< <code class="func">OctonionGramMatrix</code> <a href="chap5_mj.html#X8120692484549A5B">5. <code class="func">OctonionLatticeByGenerators</code> <a href="chap5_mj.html#X7FCBD0FF7D <code class="func">OctonionToRealVector</code> <a href="chap2_mj.html#X7D66EA0A7C8036F6"> <code class="func">Q_k_epsilon</code> <a href="chap4_mj.html#X7C78C3A57DDC372B">4.1-2</a> <br <code class="func">QuaternionD4Basis</code> <a href="chap2_mj.html#X78FF8724803E2AB4">2.4 <code class="func">R_k_epsilon</code> <a href="chap4_mj.html#X7C78C3A57DDC372B">4.1-2</a> <br <code class="func">RandomElementClosure</code> <a href="chap6_mj.html#X78DC531B815591E8"> <code class="func">RandomOrbitOnSets</code> <a href="chap6_mj.html#X7A4675E27B489038">6.2 <code class="func">Rank</code>, Jordan Algebras <a href="chap3_mj.html#X7D20807E8513CEE8">3 Octonion Lattices <a href="chap5_mj.html#X844164BC82764599">5.2-5</a> <br /> <code class="func">RealPart</code>, Octonions <a href="chap2_mj.html#X7FCF154F7BD4E4ED">2. <code class="func">RealToOctonionVector</code> <a href="chap2_mj.html#X7D66EA0A7C8036F6"> <code class="func">ScalarProduct</code>, Octonion Lattices <a href="chap5_mj.html#X84CF857 <code class="func">SimpleEuclideanJordanAlgebra</code> <a href="chap3_mj.html#X7852050A8 <code class="func">Trace</code>, Jordan Algebras <a href="chap3_mj.html#X80051D4E7B64E102"> Octonions <a href="chap2_mj.html#X8794715F82DE210B">2.2-2</a> <br /> Quaternions <a href="chap2_mj.html#X855FA7867B9D0A9E">2.4-2</a> <br /> <code class="func">UnderlyingOctonionRing</code> <a href="chap5_mj.html#X781F36A17CD9FDA <code class="func">VectorToIdempotentMatrix</code> <a href="chap2_mj.html#X85B2EBB27ED8A <code class="func">WeylReflection</code> <a href="chap2_mj.html#X83DFA8B38603F6D6">2.3-3</ <p> </p> </div> <div class="chlinkprevnextbot"> <a href="chap0_mj.html">[Top of Book]</a> <a href="chap0_mj.ht <div class="chlinkbot"><span class="chlink1">Goto Chapter: </span><a 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