Quelle manual.six
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[ [ "Title page", ".", [ 0, 0, 0 ], 1, 1, "title page", "X7D2C85EC87DD46E5" ],
[ "Abstract", ".-1", [ 0, 0, 1 ], 32, 2, "abstract", "X7AA6C5737B711C89" ],
[ "Copyright", ".-2", [ 0, 0, 2 ], 48, 2, "copyright", "X81488B807F2A1CF1" ]
, [ "Acknowledgements", ".-3", [ 0, 0, 3 ], 66, 2, "acknowledgements",
"X82A988D47DFAFCFA" ],
[ "Table of Contents", ".-4", [ 0, 0, 4 ], 105, 4, "table of contents",
"X8537FEB07AF2BEC8" ],
[ "\033[1X\033[33X\033[0;-2YIntroduction\033[133X\033[101X", "1",
[ 1, 0, 0 ], 1, 7, "introduction", "X7DFB63A97E67C0A1" ],
[ "\033[1X\033[33X\033[0;-2YGeneral aims\033[133X\033[101X", "1.1",
[ 1, 1, 0 ], 4, 7, "general aims", "X8557083378F2A3B2" ],
[
"\033[1X\033[33X\033[0;-2YInstallation and system requirements\033[133X\\
033[101X", "1.2", [ 1, 2, 0 ], 22, 7, "installation and system requirements",
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[ "\033[1X\033[33X\033[0;-2YQuickstart\033[133X\033[101X", "2",
[ 2, 0, 0 ], 1, 8, "quickstart", "X7F83DF528480AEA3" ],
[
"\033[1X\033[33X\033[0;-2YExample 1 -- quivers, path algebras and quotients\
of path algebras\033[133X\033[101X", "2.1", [ 2, 1, 0 ], 18, 8,
"example 1 -- quivers path algebras and quotients of path algebras",
"X7D3488D984288697" ],
[
"\033[1X\033[33X\033[0;-2YExample 2 -- Introducing modules\033[133X\033[101\
X", "2.2", [ 2, 2, 0 ], 99, 9, "example 2 -- introducing modules",
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[
"\033[1X\033[33X\033[0;-2YExample 3 -- Constructing modules and module homo\
morphisms\033[133X\033[101X", "2.3", [ 2, 3, 0 ], 196, 11,
"example 3 -- constructing modules and module homomorphisms",
"X790BB3A1815A9B4D" ],
[ "\033[1X\033[33X\033[0;-2YQuivers\033[133X\033[101X", "3", [ 3, 0, 0 ],
1, 13, "quivers", "X7FA7E6B581D41A94" ],
[ "\033[1X\033[33X\033[0;-2YInformation class, Quivers\033[133X\033[101X",
"3.1", [ 3, 1, 0 ], 4, 13, "information class quivers",
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[ "\033[1X\033[33X\033[0;-2YConstructing Quivers\033[133X\033[101X", "3.2",
[ 3, 2, 0 ], 26, 13, "constructing quivers", "X860B15D57EAB46D7" ],
[
"\033[1X\033[33X\033[0;-2YCategories and Properties of Quivers\033[133X\\
033[101X", "3.3", [ 3, 3, 0 ], 121, 15, "categories and properties of quivers"
, "X80BB6B6183134D88" ],
[
"\033[1X\033[33X\033[0;-2YOrderings of paths in a quiver\033[133X\033[101X"
, "3.4", [ 3, 4, 0 ], 217, 17, "orderings of paths in a quiver",
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[
"\033[1X\033[33X\033[0;-2YAttributes and Operations for Quivers\033[133X\\
033[101X", "3.5", [ 3, 5, 0 ], 230, 17,
"attributes and operations for quivers", "X80CF69E37B54F3C1" ],
[
"\033[1X\033[33X\033[0;-2YCategories and Properties of Paths\033[133X\033[1\
01X", "3.6", [ 3, 6, 0 ], 385, 20, "categories and properties of paths",
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[
"\033[1X\033[33X\033[0;-2YAttributes and Operations of Paths\033[133X\033[1\
01X", "3.7", [ 3, 7, 0 ], 426, 21, "attributes and operations of paths",
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[ "\033[1X\033[33X\033[0;-2YAttributes of Vertices\033[133X\033[101X",
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[ "\033[1X\033[33X\033[0;-2YPosets\033[133X\033[101X", "3.9", [ 3, 9, 0 ],
546, 23, "posets", "X79540DAB85902432" ],
[ "\033[1X\033[33X\033[0;-2YPath Algebras\033[133X\033[101X", "4",
[ 4, 0, 0 ], 1, 24, "path algebras", "X7E8A43A484CE0BA8" ],
[ "\033[1X\033[33X\033[0;-2YIntroduction\033[133X\033[101X", "4.1",
[ 4, 1, 0 ], 4, 24, "introduction", "X7DFB63A97E67C0A1" ],
[ "\033[1X\033[33X\033[0;-2YConstructing Path Algebras\033[133X\033[101X",
"4.2", [ 4, 2, 0 ], 18, 24, "constructing path algebras",
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[
"\033[1X\033[33X\033[0;-2YCategories and Properties of Path Algebras\033[13\
3X\033[101X", "4.3", [ 4, 3, 0 ], 42, 24,
"categories and properties of path algebras", "X85A3A8767E7C11AD" ],
[
"\033[1X\033[33X\033[0;-2YAttributes and Operations for Path Algebras\033[1\
33X\033[101X", "4.4", [ 4, 4, 0 ], 58, 25,
"attributes and operations for path algebras", "X7DE2F2A48492041A" ],
[
"\033[1X\033[33X\033[0;-2YOperations on Path Algebra Elements\033[133X\033[\
101X", "4.5", [ 4, 5, 0 ], 115, 26, "operations on path algebra elements",
"X7CEF60107CE4616B" ],
[
"\033[1X\033[33X\033[0;-2YConstructing Quotients of Path Algebras\033[133X\\
033[101X", "4.6", [ 4, 6, 0 ], 290, 29,
"constructing quotients of path algebras", "X7F0D555379C97A6E" ],
[
"\033[1X\033[33X\033[0;-2YIdeals and operations on ideals\033[133X\033[101X\
", "4.7", [ 4, 7, 0 ], 425, 31, "ideals and operations on ideals",
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[
"\033[1X\033[33X\033[0;-2YCategories and properties of ideals\033[133X\033[\
101X", "4.8", [ 4, 8, 0 ], 513, 32, "categories and properties of ideals",
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[ "\033[1X\033[33X\033[0;-2YOperations on ideals\033[133X\033[101X", "4.9",
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[ "\033[1X\033[33X\033[0;-2YAttributes of ideals\033[133X\033[101X",
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"\033[1X\033[33X\033[0;-2YCategories and Properties of Quotients of Path Al\
gebras\033[133X\033[101X", "4.11", [ 4, 11, 0 ], 627, 34,
"categories and properties of quotients of path algebras",
"X7A3CA333873389AD" ],
[ "\033[1X\033[33X\033[0;-2YOperations on String Algebras\033[133X\033[101X"
, "4.12", [ 4, 12, 0 ], 937, 39, "operations on string algebras",
"X861E6670814290D0" ],
[
"\033[1X\033[33X\033[0;-2YAttributes and Operations (for Quotients) of Path\
Algebras\033[133X\033[101X", "4.13", [ 4, 13, 0 ], 1143, 43,
"attributes and operations for quotients of path algebras",
"X86647D317A961513" ],
[
"\033[1X\033[33X\033[0;-2YAttributes and Operations on Elements of Quotient\
s of Path Algebra\033[133X\033[101X", "4.14", [ 4, 14, 0 ], 1296, 45,
"attributes and operations on elements of quotients of path algebra",
"X7BD7DB497917893C" ],
[
"\033[1X\033[33X\033[0;-2YPredefined classes and classes of (quotients of) \
path algebras\033[133X\033[101X", "4.15", [ 4, 15, 0 ], 1375, 47,
"predefined classes and classes of quotients of path algebras",
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[ "\033[1X\033[33X\033[0;-2YOpposite algebras\033[133X\033[101X", "4.16",
[ 4, 16, 0 ], 1531, 49, "opposite algebras", "X840BAB827C62AA4C" ],
[
"\033[1X\033[33X\033[0;-2YTensor products of path algebras\033[133X\033[101\
X", "4.17", [ 4, 17, 0 ], 1619, 51, "tensor products of path algebras",
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[ "\033[1X\033[33X\033[0;-2YOperations on quiver algebras\033[133X\033[101X"
, "4.18", [ 4, 18, 0 ], 1864, 55, "operations on quiver algebras",
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[
"\033[1X\033[33X\033[0;-2YFinite dimensional algebras over finite fields\\
033[133X\033[101X", "4.19", [ 4, 19, 0 ], 1895, 55,
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[ "\033[1X\033[33X\033[0;-2YAlgebras\033[133X\033[101X", "4.20",
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[
"\033[1X\033[33X\033[0;-2YSaving and reading quotients of path algebras to \
and from a file\033[133X\033[101X", "4.21", [ 4, 21, 0 ], 2010, 57,
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[ "\033[1X\033[33X\033[0;-2YGroebner Basis\033[133X\033[101X", "5",
[ 5, 0, 0 ], 1, 59, "groebner basis", "X8371E66387CB2E49" ],
[ "\033[1X\033[33X\033[0;-2YConstructing a Groebner Basis\033[133X\033[101X"
, "5.1", [ 5, 1, 0 ], 10, 59, "constructing a groebner basis",
"X850B47047FD4D709" ],
[
"\033[1X\033[33X\033[0;-2YCategories and Properties of Groebner Basis\033[1\
33X\033[101X", "5.2", [ 5, 2, 0 ], 37, 59,
"categories and properties of groebner basis", "X79C7DC5D873A14D0" ],
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"\033[1X\033[33X\033[0;-2YAttributes and Operations for Groebner Basis\033[\
133X\033[101X", "5.3", [ 5, 3, 0 ], 115, 61,
"attributes and operations for groebner basis", "X84EF455882169920" ],
[ "\033[1X\033[33X\033[0;-2YRight Groebner Basis\033[133X\033[101X", "5.4",
[ 5, 4, 0 ], 232, 63, "right groebner basis", "X82C1C09486934532" ],
[
"\033[1X\033[33X\033[0;-2YRight Modules over Path Algebras\033[133X\033[101\
X", "6", [ 6, 0, 0 ], 1, 64, "right modules over path algebras",
"X87EFC38F7BC77B27" ],
[ "\033[1X\033[33X\033[0;-2YModules of matrix type\033[133X\033[101X",
"6.1", [ 6, 1, 0 ], 9, 64, "modules of matrix type",
"X86DD15DF877834FD" ],
[ "\033[1X\033[33X\033[0;-2YCategories Of Matrix Modules\033[133X\033[101X",
"6.2", [ 6, 2, 0 ], 169, 67, "categories of matrix modules",
"X869F4DD2877A99BA" ],
[ "\033[1X\033[33X\033[0;-2YActing on Module Elements\033[133X\033[101X",
"6.3", [ 6, 3, 0 ], 185, 67, "acting on module elements",
"X862F510485ADBC67" ],
[ "\033[1X\033[33X\033[0;-2YOperations on representations\033[133X\033[101X"
, "6.4", [ 6, 4, 0 ], 229, 68, "operations on representations",
"X7E5B84B1832D839E" ],
[ "\033[1X\033[33X\033[0;-2YSpecial representations\033[133X\033[101X",
"6.5", [ 6, 5, 0 ], 793, 77, "special representations",
"X7919F94382D9B38B" ],
[ "\033[1X\033[33X\033[0;-2YFunctors on representations\033[133X\033[101X",
"6.6", [ 6, 6, 0 ], 879, 78, "functors on representations",
"X7D99BF5A87DDC099" ],
[
"\033[1X\033[33X\033[0;-2YVertex projective modules and submodules thereof\\
033[133X\033[101X", "6.7", [ 6, 7, 0 ], 1042, 81,
"vertex projective modules and submodules thereof", "X84F07A1579CBC26A"
],
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"\033[1X\033[33X\033[0;-2YHomomorphisms of Right Modules over Path Algebras\
\033[133X\033[101X", "7", [ 7, 0, 0 ], 1, 87,
"homomorphisms of right modules over path algebras",
"X7C049EFC82A7CAA7" ],
[
"\033[1X\033[33X\033[0;-2YCategories and representation of homomorphisms\\
033[133X\033[101X", "7.1", [ 7, 1, 0 ], 27, 87,
"categories and representation of homomorphisms", "X7B18E84678FA5EE0" ],
[ "\033[1X\033[33X\033[0;-2YGeneralities of homomorphisms\033[133X\033[101X"
, "7.2", [ 7, 2, 0 ], 83, 88, "generalities of homomorphisms",
"X830529F9800BF688" ],
[
"\033[1X\033[33X\033[0;-2YHomomorphisms and modules constructed from homomo\
rphisms and modules\033[133X\033[101X", "7.3", [ 7, 3, 0 ], 453, 95,
"homomorphisms and modules constructed from homomorphisms and modules",
"X7E8D1A3F7C03CFF1" ],
[ "\033[1X\033[33X\033[0;-2YHomological algebra\033[133X\033[101X", "8",
[ 8, 0, 0 ], 1, 103, "homological algebra", "X7D310EDE847865C1" ],
[ "\033[1X\033[33X\033[0;-2YHomological algebra\033[133X\033[101X", "8.1",
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[ "\033[1X\033[33X\033[0;-2YAuslander-Reiten theory\033[133X\033[101X",
"9", [ 9, 0, 0 ], 1, 115, "auslander-reiten theory",
"X855427278501E7FB" ],
[
"\033[1X\033[33X\033[0;-2YAlmost split sequences and AR-quivers\033[133X\\
033[101X", "9.1", [ 9, 1, 0 ], 7, 115, "almost split sequences and ar-quivers"
, "X79B0EA987E050C6D" ],
[ "\033[1X\033[33X\033[0;-2YChain complexes\033[133X\033[101X", "10",
[ 10, 0, 0 ], 1, 118, "chain complexes", "X7A06103979B92808" ],
[ "\033[1X\033[33X\033[0;-2YIntroduction\033[133X\033[101X", "10.1",
[ 10, 1, 0 ], 4, 118, "introduction", "X7DFB63A97E67C0A1" ],
[ "\033[1X\033[33X\033[0;-2YInfinite lists\033[133X\033[101X", "10.2",
[ 10, 2, 0 ], 47, 118, "infinite lists", "X7AC5660E80079755" ],
[ "\033[1X\033[33X\033[0;-2YRepresentation of categories\033[133X\033[101X",
"10.3", [ 10, 3, 0 ], 665, 129, "representation of categories",
"X7CAF603281B94AC8" ],
[ "\033[1X\033[33X\033[0;-2YMaking a complex\033[133X\033[101X", "10.4",
[ 10, 4, 0 ], 737, 130, "making a complex", "X7EC3D95F7C791F7E" ],
[ "\033[1X\033[33X\033[0;-2YInformation about a complex\033[133X\033[101X",
"10.5", [ 10, 5, 0 ], 934, 133, "information about a complex",
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[
"\033[1X\033[33X\033[0;-2YTransforming and combining complexes\033[133X\\
033[101X", "10.6", [ 10, 6, 0 ], 1165, 137,
"transforming and combining complexes", "X8764E5C88284301B" ],
[ "\033[1X\033[33X\033[0;-2YChain maps\033[133X\033[101X", "10.7",
[ 10, 7, 0 ], 1321, 139, "chain maps", "X85F418EB859E7597" ],
[
"\033[1X\033[33X\033[0;-2YProjective resolutions and the bounded derived ca\
tegory\033[133X\033[101X", "11", [ 11, 0, 0 ], 1, 145,
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[
"\033[1X\033[33X\033[0;-2YProjective and injective complexes\033[133X\033[1\
01X", "11.1", [ 11, 1, 0 ], 9, 145, "projective and injective complexes",
"X7C2FFD3E7D0D5D7F" ],
[ "\033[1X\033[33X\033[0;-2YThe bounded derived category\033[133X\033[101X",
"11.2", [ 11, 2, 0 ], 63, 146, "the bounded derived category",
"X83D4593C80C2C4F6" ],
[ "\033[1X\033[33X\033[0;-2YExample\033[133X\033[101X", "11.2-4",
[ 11, 2, 4 ], 133, 147, "example", "X85861B017AEEC50B" ],
[
"\033[1X\033[33X\033[0;-2YCombinatorial representation theory\033[133X\033[\
101X", "12", [ 12, 0, 0 ], 1, 149, "combinatorial representation theory",
"X7F34F6A77A24AF1C" ],
[ "\033[1X\033[33X\033[0;-2YIntroduction\033[133X\033[101X", "12.1",
[ 12, 1, 0 ], 4, 149, "introduction", "X7DFB63A97E67C0A1" ],
[ "\033[1X\033[33X\033[0;-2YDifferent unit forms\033[133X\033[101X",
"12.2", [ 12, 2, 0 ], 10, 149, "different unit forms",
"X81C656897FC2CE5A" ],
[
"\033[1X\033[33X\033[0;-2YDegeneration order for modules in finite type\\
033[133X\033[101X", "13", [ 13, 0, 0 ], 1, 152,
"degeneration order for modules in finite type", "X82CC1A63854C04F1" ],
[ "\033[1X\033[33X\033[0;-2YIntroduction\033[133X\033[101X", "13.1",
[ 13, 1, 0 ], 4, 152, "introduction", "X7DFB63A97E67C0A1" ],
[ "\033[1X\033[33X\033[0;-2YBasic definitions\033[133X\033[101X", "13.2",
[ 13, 2, 0 ], 29, 152, "basic definitions", "X78ED07E37FC2BD46" ],
[
"\033[1X\033[33X\033[0;-2YDefining Auslander-Reiten quiver in finite type\\
033[133X\033[101X", "13.3", [ 13, 3, 0 ], 53, 153,
"defining auslander-reiten quiver in finite type", "X7B3AC0B87DF8A219" ]
, [ "\033[1X\033[33X\033[0;-2YElementary operations\033[133X\033[101X",
"13.4", [ 13, 4, 0 ], 173, 155, "elementary operations",
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[
"\033[1X\033[33X\033[0;-2YOperations returning families of modules\033[133X\
\033[101X", "13.5", [ 13, 5, 0 ], 314, 157,
"operations returning families of modules", "X7B0F730F82B4FACA" ],
[ "Bibliography", "bib", [ "Bib", 0, 0 ], 1, 160, "bibliography",
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[ "References", "bib", [ "Bib", 0, 0 ], 1, 160, "references",
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[ "Index", "ind", [ "Ind", 0, 0 ], 1, 161, "index", "X83A0356F839C696F" ],
[ "\033[2XInfoQuiver\033[102X", "3.1-1", [ 3, 1, 1 ], 20, 13, "infoquiver",
"X786A65F07FA1BB78" ],
[ "\033[2XQuiver\033[102X no. of vertices, list of arrows", "3.2-1",
[ 3, 2, 1 ], 29, 13, "quiver no. of vertices list of arrows",
"X7BD8455A7F2C5CA3" ],
[ "\033[2XQuiver\033[102X lists of vertices and arrows", "3.2-1",
[ 3, 2, 1 ], 29, 13, "quiver lists of vertices and arrows",
"X7BD8455A7F2C5CA3" ],
[ "\033[2XQuiver\033[102X adjacenymatrix", "3.2-1", [ 3, 2, 1 ], 29, 13,
"quiver adjacenymatrix", "X7BD8455A7F2C5CA3" ],
[ "\033[2XDynkinQuiver\033[102X DynkinQuiver", "3.2-2", [ 3, 2, 2 ], 81,
14, "dynkinquiver dynkinquiver", "X7EE08F058702A717" ],
[ "\033[2XOrderedBy\033[102X", "3.2-3", [ 3, 2, 3 ], 114, 15, "orderedby",
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[ "\033[2XIsQuiver\033[102X", "3.3-1", [ 3, 3, 1 ], 124, 15, "isquiver",
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[ "\033[2XIsAcyclicQuiver\033[102X", "3.3-2", [ 3, 3, 2 ], 129, 15,
"isacyclicquiver", "X82E99C5F8624BD86" ],
[ "\033[2XIsUAcyclicQuiver\033[102X", "3.3-3", [ 3, 3, 3 ], 134, 15,
"isuacyclicquiver", "X846C44937B3AF09A" ],
[ "\033[2XIsConnectedQuiver\033[102X", "3.3-4", [ 3, 3, 4 ], 140, 15,
"isconnectedquiver", "X7909BF627C5D0D4A" ],
[ "\033[2XIsTreeQuiver\033[102X", "3.3-5", [ 3, 3, 5 ], 146, 16,
"istreequiver", "X7A2B55BD7B6F0360" ],
[ "\033[2XIsDynkinQuiver\033[102X", "3.3-6", [ 3, 3, 6 ], 191, 16,
"isdynkinquiver", "X85EC85B58688CCCC" ],
[ "\033[2X.\033[102X for quiver", "3.5-1", [ 3, 5, 1 ], 233, 17,
". for quiver", "X8198B2897FF5AC4B" ],
[ "\033[2XVerticesOfQuiver\033[102X", "3.5-2", [ 3, 5, 2 ], 244, 17,
"verticesofquiver", "X7C82A4BC7FB329D8" ],
[ "\033[2XArrowsOfQuiver\033[102X", "3.5-3", [ 3, 5, 3 ], 249, 17,
"arrowsofquiver", "X82C42D7D820D5F9B" ],
[ "\033[2XAdjacencyMatrixOfQuiver\033[102X", "3.5-4", [ 3, 5, 4 ], 254, 18,
"adjacencymatrixofquiver", "X7AF572F081AEFE98" ],
[ "\033[2XGeneratorsOfQuiver\033[102X", "3.5-5", [ 3, 5, 5 ], 259, 18,
"generatorsofquiver", "X7B4A7F0F813E63FC" ],
[ "\033[2XNumberOfVertices\033[102X", "3.5-6", [ 3, 5, 6 ], 264, 18,
"numberofvertices", "X822BD7F37F8AF016" ],
[ "\033[2XNumberOfArrows\033[102X", "3.5-7", [ 3, 5, 7 ], 269, 18,
"numberofarrows", "X7AC77C9C7D069663" ],
[ "\033[2XOrderingOfQuiver\033[102X", "3.5-8", [ 3, 5, 8 ], 274, 18,
"orderingofquiver", "X84D1D1AA82689B03" ],
[ "\033[2XOppositeQuiver\033[102X", "3.5-9", [ 3, 5, 9 ], 280, 18,
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--> --------------------
--> maximum size reached
--> --------------------
[ zur Elbe Produktseite wechseln0.95Quellennavigators
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2026-03-28
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