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#SIXFORMAT GapDocGAP
HELPBOOKINFOSIXTMP := rec(
encoding := "UTF-8",
bookname := "Congruence",
entries :=
[ [ "Title page", "0.0", [ 0, 0, 0 ], 1, 1, "title page", "X7D2C85EC87DD46E5"
],
[ "Abstract", "0.0-1", [ 0, 0, 1 ], 59, 2, "abstract", "X7AA6C5737B711C89" ]
,
[ "Copyright", "0.0-2", [ 0, 0, 2 ], 65, 2, "copyright",
"X81488B807F2A1CF1" ],
[ "Acknowledgements", "0.0-3", [ 0, 0, 3 ], 87, 2, "acknowledgements",
"X82A988D47DFAFCFA" ],
[ "Table of Contents", "0.0-4", [ 0, 0, 4 ], 95, 3, "table of contents",
"X8537FEB07AF2BEC8" ],
[ "\033[1X\033[33X\033[0;-2YIntroduction\033[133X\033[101X", "1",
[ 1, 0, 0 ], 1, 4, "introduction", "X7DFB63A97E67C0A1" ],
[
"\033[1X\033[33X\033[0;-2YGeneral aims of \033[5XCongruence\033[105X\033[10\
1X\027\033[1X\027 package\033[133X\033[101X", "1.1", [ 1, 1, 0 ], 4, 4,
"general aims of congruence package", "X80AE633F82C4D9BF" ],
[
"\033[1X\033[33X\033[0;-2YInstallation and system requirements\033[133X\\
033[101X", "1.2", [ 1, 2, 0 ], 24, 4, "installation and system requirements",
"X7DB566D5785B7DBC" ],
[
"\033[1X\033[33X\033[0;-2YConstruction of congruence subgroups\033[133X\\
033[101X", "2", [ 2, 0, 0 ], 1, 5, "construction of congruence subgroups",
"X7B010EE67FACF45E" ],
[
"\033[1X\033[33X\033[0;-2YConstruction of congruence subgroups\033[133X\\
033[101X", "2.1", [ 2, 1, 0 ], 32, 5, "construction of congruence subgroups",
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[
"\033[1X\033[33X\033[0;-2YProperties of congruence subgroups\033[133X\033[1\
01X", "2.2", [ 2, 2, 0 ], 173, 8, "properties of congruence subgroups",
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[
"\033[1X\033[33X\033[0;-2YAttributes of congruence subgroups\033[133X\033[1\
01X", "2.3", [ 2, 3, 0 ], 247, 9, "attributes of congruence subgroups",
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[
"\033[1X\033[33X\033[0;-2YOperations for congruence subgroups\033[133X\033[\
101X", "2.4", [ 2, 4, 0 ], 311, 10, "operations for congruence subgroups",
"X7B15B49583DC9EF5" ],
[
"\033[1X\033[33X\033[0;-2YFarey symbols and their properties\033[133X\033[1\
01X", "3", [ 3, 0, 0 ], 1, 13, "farey symbols and their properties",
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[ "\033[1X\033[33X\033[0;-2YConstruction of Farey symbols\033[133X\033[101X"
, "3.1", [ 3, 1, 0 ], 41, 13, "construction of farey symbols",
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[ "\033[1X\033[33X\033[0;-2YProperties of Farey symbols\033[133X\033[101X",
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[
"\033[1X\033[33X\033[0;-2YFarey symbols for congruence subgroups\033[133X\\
033[101X", "4", [ 4, 0, 0 ], 1, 16, "farey symbols for congruence subgroups",
"X831C60277F7D80B2" ],
[
"\033[1X\033[33X\033[0;-2YComputation of the Farey symbol for a finite inde\
x subgroup\033[133X\033[101X", "4.1", [ 4, 1, 0 ], 15, 16,
"computation of the farey symbol for a finite index subgroup",
"X7F43DB8B803F313F" ],
[
"\033[1X\033[33X\033[0;-2YComputation of generators of a finite index subgr\
oup from its Farey symbol\033[133X\033[101X", "4.2", [ 4, 2, 0 ], 44, 17,
"computation of generators of a finite index subgroup from its farey sym\
bol", "X80AE179D869BEE90" ],
[
"\033[1X\033[33X\033[0;-2YOther properties derived from Farey symbols\033[1\
33X\033[101X", "4.3", [ 4, 3, 0 ], 166, 19,
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[
"\033[1X\033[33X\033[0;-2YService functions of the \033[5XCongruence\033[10\
5X\033[101X\027\033[1X\027 package\033[133X\033[101X", "5", [ 5, 0, 0 ], 1,
20, "service functions of the congruence package", "X82C56A367A418E7C" ]
,
[
"\033[1X\033[33X\033[0;-2YAdditional information displayed by \033[5XCongru\
ence\033[105X\033[101X\027\033[1X\027 algorithms\033[133X\033[101X", "5.1",
[ 5, 1, 0 ], 4, 20,
"additional information displayed by congruence algorithms",
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[ "Bibliography", "bib", [ "Bib", 0, 0 ], 1, 21, "bibliography",
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[ "References", "bib", [ "Bib", 0, 0 ], 1, 21, "references",
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[ "Index", "ind", [ "Ind", 0, 0 ], 1, 22, "index", "X83A0356F839C696F" ],
[ "\033[5XCongruence\033[105X package", "0.0-1", [ 0, 0, 1 ], 59, 2,
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[ "\033[10XIsCongruenceSubgroup\033[110X", "1.1", [ 1, 1, 0 ], 4, 4,
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[ "\033[10XIsCongruenceSubgroup\033[110X", "2.0", [ 2, 0, 0 ], 1, 5,
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[ "\033[2XPrincipalCongruenceSubgroup\033[102X", "2.1-1", [ 2, 1, 1 ], 35,
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[ "\033[2XCongruenceSubgroupGamma0\033[102X", "2.1-2", [ 2, 1, 2 ], 72, 6,
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[ "\033[2XCongruenceSubgroupGammaUpper0\033[102X", "2.1-3", [ 2, 1, 3 ],
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[ "\033[2XCongruenceSubgroupGamma1\033[102X", "2.1-4", [ 2, 1, 4 ], 110, 7,
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[ "\033[2XCongruenceSubgroupGammaUpper1\033[102X", "2.1-5", [ 2, 1, 5 ],
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[ "\033[2XIntersectionOfCongruenceSubgroups\033[102X", "2.1-6",
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[ "\033[2XIntersection\033[102X", "2.1-6", [ 2, 1, 6 ], 148, 7,
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[ "\033[2XIsPrincipalCongruenceSubgroup\033[102X", "2.2-1", [ 2, 2, 1 ],
182, 8, "isprincipalcongruencesubgroup", "X828F7E08787650DC" ],
[ "\033[2XIsCongruenceSubgroupGamma0\033[102X", "2.2-2", [ 2, 2, 2 ], 199,
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[ "\033[2XIsCongruenceSubgroupGammaUpper0\033[102X", "2.2-3", [ 2, 2, 3 ],
207, 8, "iscongruencesubgroupgammaupper0", "X7A03633C83A286F5" ],
[ "\033[2XIsCongruenceSubgroupGamma1\033[102X", "2.2-4", [ 2, 2, 4 ], 215,
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[ "\033[2XIsCongruenceSubgroupGammaUpper1\033[102X", "2.2-5", [ 2, 2, 5 ],
223, 9, "iscongruencesubgroupgammaupper1", "X7D731035834CF878" ],
[ "\033[2XIsIntersectionOfCongruenceSubgroups\033[102X", "2.2-6",
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[ "\033[2XLevelOfCongruenceSubgroup\033[102X", "2.3-1", [ 2, 3, 1 ], 252,
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[ "\033[2XIndexInSL2Z\033[102X", "2.3-2", [ 2, 3, 2 ], 271, 10,
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[ "\033[2XDefiningCongruenceSubgroups\033[102X", "2.3-3", [ 2, 3, 3 ], 288,
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[ "\033[2XRandom\033[102X one and two argument versions", "2.4-1",
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[ "\033[2XRandom\033[102X", "2.4-1", [ 2, 4, 1 ], 317, 10, "random",
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[ "\033[2X\\in\033[102X", "2.4-2", [ 2, 4, 2 ], 333, 11, "in",
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[ "\033[2XCanEasilyCompareCongruenceSubgroups\033[102X", "2.4-3",
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[ "\033[2XIsSubset\033[102X", "2.4-4", [ 2, 4, 4 ], 364, 11, "issubset",
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[ "\033[2XIndex\033[102X", "2.4-5", [ 2, 4, 5 ], 390, 12, "index",
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[ "\033[10XIsFareySymbol\033[110X", "3.0", [ 3, 0, 0 ], 1, 13,
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[ "\033[10XIsFareySymbolDefaultRep\033[110X", "3.0", [ 3, 0, 0 ], 1, 13,
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[ "\033[2XFareySymbolByData\033[102X", "3.1-1", [ 3, 1, 1 ], 44, 13,
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[ "\033[2XIsValidFareySymbol\033[102X", "3.1-2", [ 3, 1, 2 ], 60, 14,
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[ "\033[2XGeneralizedFareySequence\033[102X", "3.2-1", [ 3, 2, 1 ], 74, 14,
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[ "\033[2XNumeratorOfGFSElement\033[102X", "3.2-2", [ 3, 2, 2 ], 85, 14,
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[ "\033[2XDenominatorOfGFSElement\033[102X", "3.2-3", [ 3, 2, 3 ], 99, 14,
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[ "\033[2XLabelsOfFareySymbol\033[102X", "3.2-4", [ 3, 2, 4 ], 113, 15,
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[ "\033[2XFareySymbol\033[102X", "4.1-1", [ 4, 1, 1 ], 18, 16,
"fareysymbol", "X8594896287DCFE8D" ],
[ "\033[2XMatrixByEvenInterval\033[102X", "4.2-1", [ 4, 2, 1 ], 68, 17,
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[ "\033[2XMatrixByOddInterval\033[102X", "4.2-2", [ 4, 2, 2 ], 87, 17,
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[ "\033[2XMatrixByFreePairOfIntervals\033[102X", "4.2-3", [ 4, 2, 3 ], 102,
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[ "\033[2XGeneratorsByFareySymbol\033[102X", "4.2-4", [ 4, 2, 4 ], 116, 18,
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[ "\033[2XGeneratorsOfGroup\033[102X", "4.2-5", [ 4, 2, 5 ], 134, 18,
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[ "\033[2XIndexInPSL2ZByFareySymbol\033[102X", "4.3-1", [ 4, 3, 1 ], 169,
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[ "\033[2XInfoCongruence\033[102X", "5.1-1", [ 5, 1, 1 ], 7, 20,
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);
[ Dauer der Verarbeitung: 0.14 Sekunden
(vorverarbeitet)
]
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