<html><head><title>The GAP 4 Manual - Full Index L</title></head> <body bgcolor="ffffff"><h1>The GAP 4 Manual - Full Index L</h1> <p> <a href="theindex.htm">_</A> <a href="indxA.htm">A</A> <a href="indxB.htm">B</A> <a href="indxC.htm">C</A> <a href="indxD.htm">D</A> <a href="indxE.htm">E</A> <a href="indxF.htm">F</A> <a href="indxG.htm">G</A> <a href="indxH.htm">H</A> <a href="indxI.htm">I</A> <a href="indxJ.htm">J</A> <a href="indxK.htm">K</A> <a href="indxL.htm">L</A> <a href="indxM.htm">M</A> <a href="indxN.htm">N</A> <a href="indxO.htm">O</A> <a href="indxP.htm">P</A> <a href="indxQ.htm">Q</A> <a href="indxR.htm">R</A> <a href="indxS.htm">S</A> <a href="indxT.htm">T</A> <a href="indxU.htm">U</A> <a href="indxV.htm">V</A> <a href="indxW.htm">W</A> <a href="indxX.htm">X</A> <a href="indxY.htm">Y</A> <a href="indxZ.htm">Z</A> <dl> <dt>l_N <a href="ref/CHAP018.htm#I29">R 18.4</a> <dt>Labels and References <a href="ext/CHAP002.htm#SECT004">E 2.4</a> <dt>Lambda <a href="ref/CHAP015.htm#SSEC001.3">R 15.1.3</a> <dt>Language Overview <a href="ref/CHAP004.htm#SECT001">R 4.1</a> <dt>larger or equal <a href="ref/CHAP004.htm#SSEC011.2">R 4.11.2</a> <dt>larger test <a href="ref/CHAP004.htm#SSEC011.2">R 4.11.2</a> <dt>LargestElementGroup <a href="ref/CHAP037.htm#SSEC022.2">R 37.22.2</a> <dt>LargestElementStabChain <a href="ref/CHAP041.htm#SSEC009.13">R 41.9.13</a> <dt>LargestMovedPoint <a href="ref/CHAP040.htm#SSEC002.2">R 40.2.2</a> <dt>LargestUnknown <a href="ref/CHAP019.htm#">R 19.0</a> <dt>last <a href="ref/CHAP006.htm#I7">R 6.1</a> <dt>last <a href="tut/CHAP002.htm#I18">T 2.5</a> <dt>last2 <a href="tut/CHAP002.htm#I19">T 2.5</a> <dt>last3 <a href="tut/CHAP002.htm#I20">T 2.5</a> <dt>LastSystemError <a href="ref/CHAP009.htm#SSEC001.1">R 9.1.1</a> <dt>LaTeXStringDecompositionMatrix <a href="ref/CHAP069.htm#SSEC009.5">R 69.9.5</a> <dt>lattice base reduction <a href="ref/CHAP025.htm#I5">R 25.5</a> <dt>lattice basis reduction, for virtual characters <a href="ref/CHAP070.htm#I35">R 70.10</a> <dt>Lattice Reduction <a href="ref/CHAP025.htm#SECT005">R 25.5</a> <dt>LatticeByCyclicExtension <a href="ref/CHAP037.htm#SSEC021.1">R 37.21.1</a> <dt>LatticeGeneratorsInUEA <a href="ref/CHAP061.htm#SSEC013.6">R 61.13.6</a> <dt>LatticeSubgroups <a href="ref/CHAP037.htm#SSEC020.1">R 37.20.1</a> <dt>LatticeSubgroupsByTom <a href="ref/CHAP068.htm#SSEC003.3">R 68.3.3</a> <dt>Laurent Polynomials <a href="ref/CHAP064.htm#SECT012">R 64.12</a> <dt>LaurentPolynomialByCoefficients <a href="ref/CHAP064.htm#SSEC012.1">R 64.12.1</a> <dt>LaurentPolynomialByExtRep <a href="ref/CHAP064.htm#SSEC021.3">R 64.21.3</a> <dt>LaurentPolynomialByExtRepNC <a href="ref/CHAP064.htm#SSEC021.3">R 64.21.3</a> <dt>LClassOfHClass <a href="ref/CHAP049.htm#SSEC005.5">R 49.5.5</a> <dt>Lcm <a href="ref/CHAP054.htm#SSEC007.5">R 54.7.5</a> <dt>LcmInt <a href="ref/CHAP014.htm#SSEC002.6">R 14.2.6</a> <dt>LcmOp <a href="ref/CHAP054.htm#SSEC007.6">R 54.7.6</a> <dt>LeadCoeffsIGS <a href="ref/CHAP043.htm#SSEC007.7">R 43.7.7</a> <dt>LeadingCoefficient <a href="ref/CHAP064.htm#SSEC006.3">R 64.6.3</a> <dt>LeadingCoefficientOfPolynomial <a href="ref/CHAP064.htm#SSEC016.4">R 64.16.4</a> <dt>LeadingExponentOfPcElement <a href="ref/CHAP043.htm#SSEC005.5">R 43.5.5</a> <dt>LeadingMonomial <a href="ref/CHAP064.htm#SSEC006.4">R 64.6.4</a> <dt>LeadingMonomialOfPolynomial <a href="ref/CHAP064.htm#SSEC016.2">R 64.16.2</a> <dt>LeadingTermOfPolynomial <a href="ref/CHAP064.htm#SSEC016.3">R 64.16.3</a> <dt>Leaving GAP <a href="ref/CHAP006.htm#SECT008">R 6.8</a> <dt>leaving GAP <a href="tut/CHAP002.htm#I1">T 2.1</a> <dt>left cosets <a href="ref/CHAP037.htm#I5">R 37.7</a> <dt>LeftActingAlgebra <a href="ref/CHAP060.htm#SSEC010.11">R 60.10.11</a> <dt>LeftActingDomain <a href="ref/CHAP055.htm#SSEC001.11">R 55.1.11</a> <dt>LeftActingRingOfIdeal <a href="ref/CHAP054.htm#SSEC002.10">R 54.2.10</a> <dt>LeftAlgebraModule <a href="ref/CHAP060.htm#SSEC010.4">R 60.10.4</a> <dt>LeftAlgebraModuleByGenerators <a href="ref/CHAP060.htm#SSEC010.1">R 60.10.1</a> <dt>LeftDerivations <a href="ref/CHAP061.htm#SSEC002.5">R 61.2.5</a> <dt>LeftIdeal <a href="ref/CHAP054.htm#SSEC002.1">R 54.2.1</a> <dt>LeftIdealByGenerators <a href="ref/CHAP054.htm#SSEC002.5">R 54.2.5</a> <dt>LeftIdealNC <a href="ref/CHAP054.htm#SSEC002.2">R 54.2.2</a> <dt>LeftModuleByGenerators <a href="ref/CHAP055.htm#SSEC001.10">R 55.1.10</a> <dt>LeftModuleByHomomorphismToMatAlg <a href="ref/CHAP060.htm#SSEC010.17">R 60.10.17</a> <dt>LeftModuleGeneralMappingByImages <a href="ref/CHAP059.htm#SSEC009.1">R 59.9.1</a> <dt>LeftModuleHomomorphismByImages <a href="ref/CHAP059.htm#SSEC009.2">R 59.9.2</a> <dt>LeftModuleHomomorphismByImagesNC <a href="ref/CHAP059.htm#SSEC009.2">R 59.9.2</a> <dt>LeftModuleHomomorphismByMatrix <a href="ref/CHAP059.htm#SSEC009.3">R 59.9.3</a> <dt>LeftQuotient <a href="ref/CHAP030.htm#SSEC012.2">R 30.12.2</a> <dt>LeftQuotient, for words <a href="ref/CHAP035.htm#I5">R 35.4</a> <dt>LeftShiftRowVector <a href="ref/CHAP023.htm#SSEC004.1">R 23.4.1</a> <dt>legacy <a href="ref/CHAP075.htm#I2">R 75.0</a> <dt>Legendre <a href="ref/CHAP015.htm#SSEC003.2">R 15.3.2</a> <dt>Length <a href="ref/CHAP021.htm#SSEC017.5">R 21.17.5</a> <dt>length, of a word <a href="ref/CHAP035.htm#I6">R 35.4</a> <dt>Length, of an associative word <a href="ref/CHAP035.htm#SSEC004.1">R 35.4.1</a> <dt>LengthsTom <a href="ref/CHAP068.htm#SSEC007.3">R 68.7.3</a> <dt>LengthWord <a href="tut/CHAP009.htm#I12">T 9.4</a> <dt>LengthWPObj <a href="ext/CHAP007.htm#SSEC003.1">E 7.3.1</a> <dt>LenstraBase <a href="ref/CHAP058.htm#SSEC003.2">R 58.3.2</a> <dt>LessThanFunction <a href="ref/CHAP029.htm#SSEC002.5">R 29.2.5</a> <dt>LessThanOrEqualFunction <a href="ref/CHAP029.htm#SSEC002.6">R 29.2.6</a> <dt>LetterRepAssocWord <a href="ref/CHAP035.htm#SSEC006.8">R 35.6.8</a> <dt>LevelsOfGenerators <a href="ref/CHAP029.htm#SSEC003.15">R 29.3.15</a> <dt>LeviMalcevDecomposition <a href="ref/CHAP060.htm#SSEC008.19">R 60.8.19</a> <dt>LeviMalcevDecomposition, for Lie algebras <a href="ref/CHAP061.htm#SSEC006.1">R 61.6.1</a> <dt>Lexical Structure <a href="ref/CHAP004.htm#SECT002">R 4.2</a> <dt>LexicographicOrdering <a href="ref/CHAP029.htm#SSEC003.5">R 29.3.5</a> <dt>LGFirst <a href="ref/CHAP043.htm#SSEC013.5">R 43.13.5</a> <dt>LGLayers <a href="ref/CHAP043.htm#SSEC013.4">R 43.13.4</a> <dt>LGLength <a href="ref/CHAP043.htm#SSEC013.6">R 43.13.6</a> <dt>LGWeights <a href="ref/CHAP043.htm#SSEC013.3">R 43.13.3</a> <dt>Library Files <a href="ext/CHAP003.htm">E 3.0</a> <dt>library tables <a href="ref/CHAP069.htm#I3">R 69.3</a> <dt>Lie Algebras <a href="ref/CHAP061.htm">R 61.0</a> <dt>Lie objects <a href="ref/CHAP061.htm#SECT001">R 61.1</a> <dt>LieAlgebra <a href="ref/CHAP061.htm#SSEC002.2">R 61.2.2</a> <dt>LieAlgebraByStructureConstants <a href="ref/CHAP061.htm#SSEC002.1">R 61.2.1</a> <dt>LieBracket <a href="ref/CHAP030.htm#SSEC012.4">R 30.12.4</a> <dt>LieCenter <a href="ref/CHAP061.htm#SSEC003.1">R 61.3.1</a> <dt>LieCentralizer <a href="ref/CHAP061.htm#SSEC003.2">R 61.3.2</a> <dt>LieCentre <a href="ref/CHAP061.htm#SSEC003.1">R 61.3.1</a> <dt>LieCoboundaryOperator <a href="ref/CHAP061.htm#SSEC012.6">R 61.12.6</a> <dt>LieDerivedSeries <a href="ref/CHAP061.htm#SSEC004.1">R 61.4.1</a> <dt>LieDerivedSubalgebra <a href="ref/CHAP061.htm#SSEC003.4">R 61.3.4</a> <dt>LieFamily <a href="ref/CHAP061.htm#SSEC001.3">R 61.1.3</a> <dt>LieLowerCentralSeries <a href="ref/CHAP061.htm#SSEC004.2">R 61.4.2</a> <dt>LieNilRadical <a href="ref/CHAP061.htm#SSEC003.5">R 61.3.5</a> <dt>LieNormalizer <a href="ref/CHAP061.htm#SSEC003.3">R 61.3.3</a> <dt>LieObject <a href="ref/CHAP061.htm#SSEC001.1">R 61.1.1</a> <dt>LieSolvableRadical <a href="ref/CHAP061.htm#SSEC003.6">R 61.3.6</a> <dt>LieUpperCentralSeries <a href="ref/CHAP061.htm#SSEC004.3">R 61.4.3</a> <dt>LiftedInducedPcgs <a href="ref/CHAP043.htm#SSEC010.4">R 43.10.4</a> <dt>LiftedPcElement <a href="ref/CHAP043.htm#SSEC010.3">R 43.10.3</a> <dt>Line Editing <a href="ref/CHAP006.htm#SECT009">R 6.9</a> <dt>line editing <a href="tut/CHAP002.htm#I9">T 2.3</a> <dt>Linear equations over the integers and Integral Matrices <a href="ref/CHAP025.htm#SECT001">R 25.1</a> <dt>Linear Mappings <a href="ref/CHAP031.htm#SECT010">R 31.10</a> <dt>LinearAction <a href="ref/CHAP043.htm#SSEC014.2">R 43.14.2</a> <dt>LinearActionLayer <a href="ref/CHAP043.htm#SSEC014.3">R 43.14.3</a> <dt>LinearCharacters <a href="ref/CHAP069.htm#SSEC008.3">R 69.8.3</a> <dt>LinearCombination <a href="ref/CHAP059.htm#SSEC005.4">R 59.5.4</a> <dt>LinearCombinationPcgs <a href="ref/CHAP043.htm#SSEC005.7">R 43.5.7</a> <dt>LinearIndependentColumns <a href="ref/CHAP025.htm#SSEC004.2">R 25.4.2</a> <dt>LinearOperation <a href="ref/CHAP043.htm#SSEC014.2">R 43.14.2</a> <dt>LinearOperationLayer <a href="ref/CHAP043.htm#SSEC014.3">R 43.14.3</a> <dt>LinesOfStraightLineProgram <a href="ref/CHAP035.htm#SSEC008.3">R 35.8.3</a> <dt>List <a href="ref/CHAP021.htm#SSEC020.17">R 21.20.17</a> <dt>list and non-list, difference <a href="ref/CHAP021.htm#I9">R 21.13</a> <dt>list and non-list, left quotient <a href="ref/CHAP021.htm#I14">R 21.14</a> <dt>list and non-list, mod <a href="ref/CHAP021.htm#I12">R 21.14</a> <dt>list and non-list, product <a href="ref/CHAP021.htm#I10">R 21.14</a> <dt>list and non-list, quotient <a href="ref/CHAP021.htm#I11">R 21.14</a> <dt>List Assignment <a href="ref/CHAP021.htm#SECT004">R 21.4</a> <dt>list assignment, operation <a href="ref/CHAP021.htm#SSEC002.1">R 21.2.1</a> <dt>list boundedness test, operation <a href="ref/CHAP021.htm#SSEC002.1">R 21.2.1</a> <dt>List Categories <a href="ref/CHAP021.htm#SECT001">R 21.1</a> <dt>list element, access <a href="ref/CHAP021.htm#SSEC003.1">R 21.3.1</a> <dt>list element, assignment <a href="ref/CHAP021.htm#SSEC004.1">R 21.4.1</a> <dt>list element, operation <a href="ref/CHAP021.htm#SSEC002.1">R 21.2.1</a> <dt>List Elements <a href="ref/CHAP021.htm#SECT003">R 21.3</a> <dt>list environment, compact description <a href="ext/CHAP002.htm#I62">E 2.7</a> <dt>list environment, description <a href="ext/CHAP002.htm#I59">E 2.7</a> <dt>list environment, ordered <a href="ext/CHAP002.htm#I68">E 2.7</a> <dt>list environment, unordered <a href="ext/CHAP002.htm#I67">E 2.7</a> <dt>list equal, comparison <a href="ref/CHAP021.htm#SSEC010.1">R 21.10.1</a> <dt>list of available books <a href="ref/CHAP002.htm#SSEC002.4">R 2.2.4</a> <dt>List Operations <a href="tut/CHAP003.htm#SECT007">T 3.7</a> <dt>list smaller, comparison <a href="ref/CHAP021.htm#SSEC010.2">R 21.10.2</a> <dt>list unbind, operation <a href="ref/CHAP021.htm#SSEC002.1">R 21.2.1</a> <dt>ListBlist <a href="ref/CHAP022.htm#SSEC001.2">R 22.1.2</a> <dt>ListN <a href="ref/CHAP021.htm#SSEC020.26">R 21.20.26</a> <dt>ListPerm <a href="ref/CHAP040.htm#SSEC004.1">R 40.4.1</a> <dt>Lists <a href="ref/CHAP021.htm">R 21.0</a> <dt>lists, dense <a href="tut/CHAP003.htm#I2">T 3.1</a> <dt>lists, identical <a href="tut/CHAP003.htm#I3">T 3.2</a> <dt>lists, plain <a href="tut/CHAP003.htm#I0">T 3.1</a> <dt>lists, strictly sorted <a href="tut/CHAP003.htm#I4">T 3.4</a> <dt>Lists and Collections <a href="ref/CHAP028.htm#SECT002">R 28.2</a> <dt>Lists and Records <a href="tut/CHAP003.htm">T 3.0</a> <dt>ListStabChain <a href="ref/CHAP041.htm#SSEC009.8">R 41.9.8</a> <dt>ListWithIdenticalEntries <a href="ref/CHAP021.htm#SSEC015.1">R 21.15.1</a> <dt>ListX <a href="ref/CHAP021.htm#SSEC021.1">R 21.21.1</a> <dt>LLL <a href="ref/CHAP070.htm#SSEC010.4">R 70.10.4</a> <dt>LLL algorithm, for Gram matrices <a href="ref/CHAP025.htm#I6">R 25.5</a> <dt>LLL algorithm, for vectors <a href="ref/CHAP025.htm#I3">R 25.5</a> <dt>LLL algorithm, for virtual characters <a href="ref/CHAP070.htm#I33">R 70.10</a> <dt>LLLReducedBasis <a href="ref/CHAP025.htm#SSEC005.1">R 25.5.1</a> <dt>LLLReducedGramMat <a href="ref/CHAP025.htm#SSEC005.2">R 25.5.2</a> <dt>LoadDynamicModule <a href="ref/CHAP003.htm#SSEC007.1">R 3.7.1</a> <dt>Loading a GAP Package <a href="ref/CHAP074.htm#SECT002">R 74.2</a> <dt>loading a saved workspace <a href="ref/CHAP003.htm#SSEC011.2">R 3.11.2</a> <dt>Loading Source Code from a File <a href="tut/CHAP002.htm#SECT002">T 2.2</a> <dt>loading source code from a file <a href="tut/CHAP002.htm#I5">T 2.2</a> <dt>LoadPackage <a href="ref/CHAP074.htm#SSEC002.1">R 74.2.1</a> <dt>local <a href="ref/CHAP004.htm#I45">R 4.22</a> <dt>Local Variables <a href="tut/CHAP004.htm#SECT003">T 4.3</a> <dt>logarithm, discrete <a href="ref/CHAP015.htm#I9">R 15.2</a> <dt>logarithm, of a root of unity <a href="ref/CHAP018.htm#I7">R 18.1</a> <dt>LogFFE <a href="ref/CHAP057.htm#SSEC002.2">R 57.2.2</a> <dt>logical <a href="ref/CHAP020.htm#I1">R 20.0</a> <dt>Logical Implications <a href="prg/CHAP002.htm#SECT007">P 2.7</a> <dt>logical operations <a href="ref/CHAP020.htm#I3">R 20.3</a> <dt>LogInt <a href="ref/CHAP014.htm#SSEC001.8">R 14.1.8</a> <dt>LogMod <a href="ref/CHAP015.htm#SSEC002.2">R 15.2.2</a> <dt>LogModShanks <a href="ref/CHAP015.htm#SSEC002.2">R 15.2.2</a> <dt>LogTo <a href="ref/CHAP009.htm#SSEC007.5">R 9.7.5</a> <dt>LogTo, for streams <a href="ref/CHAP010.htm#SSEC004.5">R 10.4.5</a> <dt>LogTo, stop logging <a href="ref/CHAP009.htm#SSEC007.6">R 9.7.6</a> <dt>LongestWeylWordPerm <a href="ref/CHAP061.htm#SSEC007.19">R 61.7.19</a> <dt>LookupDictionary <a href="new/CHAP002.htm#SSEC001.4">N 2.1.4</a> <dt>loop, for <a href="ref/CHAP004.htm#I38">R 4.19</a> <dt>loop, read eval print <a href="ref/CHAP006.htm#I1">R 6.1</a> <dt>loop, repeat <a href="ref/CHAP004.htm#I36">R 4.18</a> <dt>loop, while <a href="ref/CHAP004.htm#I35">R 4.17</a> <dt>loop over iterator <a href="ref/CHAP004.htm#SSEC019.3">R 4.19.3</a> <dt>loop over object <a href="ref/CHAP004.htm#SSEC019.4">R 4.19.4</a> <dt>loop over range <a href="ref/CHAP004.htm#SSEC019.2">R 4.19.2</a> <dt>loops, leaving <a href="ref/CHAP004.htm#I41">R 4.20</a> <dt>loops, restarting <a href="ref/CHAP004.htm#I42">R 4.21</a> <dt>loops, for <a href="tut/CHAP003.htm#I6">T 3.6</a> <dt>loops, while <a href="tut/CHAP003.htm#I7">T 3.6</a> <dt>Low Index Subgroups <a href="ref/CHAP045.htm#SECT009">R 45.9</a> <dt>Low Level Access Functions for Weak Pointer Objects <a href="ext/CHAP007.htm#SECT003">E 7.3</a> <dt>Low Level Routines to Modify and Create Stabilizer Chains <a href="ref/CHAP041.htm#SECT010">R 41.10</a> <dt>LowercaseString <a href="ref/CHAP026.htm#SSEC005.5">R 26.5.5</a> <dt>LowerCentralSeriesOfGroup <a href="ref/CHAP037.htm#SSEC017.11">R 37.17.11</a> <dt>LowIndexSubgroupsFpGroup <a href="ref/CHAP045.htm#SSEC009.1">R 45.9.1</a> <dt>LowIndexSubgroupsFpGroupIterator <a href="ref/CHAP045.htm#SSEC009.1">R 45.9.1</a> <dt>Lucas <a href="ref/CHAP017.htm#SSEC003.2">R 17.3.2</a> </dl><p> [<a href="../index.html">Top</a>] [<a href="chapters.htm">Up</a>] <p><P> <address>GAP 4 manual<br></address> </body></html>
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