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#SIXFORMAT GapDocGAP
HELPBOOKINFOSIXTMP := rec(
encoding := "UTF-8",
bookname := "loops",
entries :=
[ [ "Title page", "0.0", [ 0, 0, 0 ], 1, 1, "title page", "X7D2C85EC87DD46E5"
],
[ "Abstract", "0.0-1", [ 0, 0, 1 ], 40, 2, "abstract", "X7AA6C5737B711C89" ]
,
[ "Copyright", "0.0-2", [ 0, 0, 2 ], 48, 2, "copyright",
"X81488B807F2A1CF1" ],
[ "Acknowledgements", "0.0-3", [ 0, 0, 3 ], 59, 2, "acknowledgements",
"X82A988D47DFAFCFA" ],
[ "Table of Contents", "0.0-4", [ 0, 0, 4 ], 78, 3, "table of contents",
"X8537FEB07AF2BEC8" ],
[ "\033[1X\033[33X\033[0;-2YIntroduction\033[133X\033[101X", "1",
[ 1, 0, 0 ], 1, 6, "introduction", "X7DFB63A97E67C0A1" ],
[ "\033[1X\033[33X\033[0;-2YInstallation\033[133X\033[101X", "1.1",
[ 1, 1, 0 ], 13, 6, "installation", "X8360C04082558A12" ],
[ "\033[1X\033[33X\033[0;-2YDocumentation\033[133X\033[101X", "1.2",
[ 1, 2, 0 ], 36, 6, "documentation", "X7F4F8D6F7CD6B765" ],
[ "\033[1X\033[33X\033[0;-2YTest Files\033[133X\033[101X", "1.3",
[ 1, 3, 0 ], 54, 7, "test files", "X801051CC86594630" ],
[ "\033[1X\033[33X\033[0;-2YMemory Management\033[133X\033[101X", "1.4",
[ 1, 4, 0 ], 61, 7, "memory management", "X79342B4E7E55FD0F" ],
[ "\033[1X\033[33X\033[0;-2YFeedback\033[133X\033[101X", "1.5",
[ 1, 5, 0 ], 69, 7, "feedback", "X80D704CC7EBFDF7A" ],
[ "\033[1X\033[33X\033[0;-2YMathematical Background\033[133X\033[101X",
"2", [ 2, 0, 0 ], 1, 8, "mathematical background", "X7EF1B6708069B0C7" ]
, [ "\033[1X\033[33X\033[0;-2YQuasigroups and Loops\033[133X\033[101X",
"2.1", [ 2, 1, 0 ], 11, 8, "quasigroups and loops", "X80243DE5826583B8"
], [ "\033[1X\033[33X\033[0;-2YTranslations\033[133X\033[101X", "2.2",
[ 2, 2, 0 ], 37, 8, "translations", "X7EC01B437CC2B2C9" ],
[ "\033[1X\033[33X\033[0;-2YSubquasigroups and Subloops\033[133X\033[101X",
"2.3", [ 2, 3, 0 ], 62, 9, "subquasigroups and subloops",
"X83EDF04F7952143F" ],
[ "\033[1X\033[33X\033[0;-2YNilpotence and Solvability\033[133X\033[101X",
"2.4", [ 2, 4, 0 ], 81, 9, "nilpotence and solvability",
"X869CBCE381E2C422" ],
[ "\033[1X\033[33X\033[0;-2YAssociators and Commutators\033[133X\033[101X",
"2.5", [ 2, 5, 0 ], 95, 9, "associators and commutators",
"X7E0849977869E53D" ],
[ "\033[1X\033[33X\033[0;-2YHomomorphism and Homotopisms\033[133X\033[101X",
"2.6", [ 2, 6, 0 ], 110, 9, "homomorphism and homotopisms",
"X791066ED7DD9F254" ],
[ "\033[1X\033[33X\033[0;-2YHow the Package Works\033[133X\033[101X", "3",
[ 3, 0, 0 ], 1, 11, "how the package works", "X7A6DF65E826B8CFF" ],
[ "\033[1X\033[33X\033[0;-2YRepresenting Quasigroups\033[133X\033[101X",
"3.1", [ 3, 1, 0 ], 18, 11, "representing quasigroups",
"X86F02BBD87FEA1C6" ],
[
"\033[1X\033[33X\033[0;-2YConversions between magmas, quasigroups, loops an\
d groups\033[133X\033[101X", "3.2", [ 3, 2, 0 ], 48, 12,
"conversions between magmas quasigroups loops and groups",
"X807D76EF81B9D061" ],
[ "\033[1X\033[33X\033[0;-2YCalculating with Quasigroups\033[133X\033[101X",
"3.3", [ 3, 3, 0 ], 80, 12, "calculating with quasigroups",
"X87E49ED884FA6DC4" ],
[
"\033[1X\033[33X\033[0;-2YNaming, Viewing and Printing Quasigroups and thei\
r Elements\033[133X\033[101X", "3.4", [ 3, 4, 0 ], 118, 13,
"naming viewing and printing quasigroups and their elements",
"X7D75C7A6787AF72A" ],
[
"\033[1X\033[33X\033[0;-2YSetQuasigroupElmName and SetLoopElmName\033[133X\\
033[101X", "3.4-1", [ 3, 4, 1 ], 139, 13,
"setquasigroupelmname and setloopelmname", "X7A7EB1B579273D07" ],
[
"\033[1X\033[33X\033[0;-2YCreating Quasigroups and Loops\033[133X\033[101X"
, "4", [ 4, 0, 0 ], 1, 14, "creating quasigroups and loops",
"X7AA4B9C0877550ED" ],
[ "\033[1X\033[33X\033[0;-2YAbout Cayley Tables\033[133X\033[101X", "4.1",
[ 4, 1, 0 ], 7, 14, "about cayley tables", "X7DE8405B82BC36A9" ],
[ "\033[1X\033[33X\033[0;-2YTesting Cayley Tables\033[133X\033[101X",
"4.2", [ 4, 2, 0 ], 32, 14, "testing cayley tables",
"X7827BF877AA87246" ],
[
"\033[1X\033[33X\033[0;-2YIsQuasigroupTable and IsQuasigroupCayleyTable\\
033[133X\033[101X", "4.2-1", [ 4, 2, 1 ], 35, 14,
"isquasigrouptable and isquasigroupcayleytable", "X81179355869B9DFE" ],
[ "\033[1X\033[33X\033[0;-2YIsLoopTable and IsLoopCayleyTable\033[133X\033[1\
01X", "4.2-2", [ 4, 2, 2 ], 42, 14, "islooptable and isloopcayleytable",
"X7AAE48507A471069" ],
[
"\033[1X\033[33X\033[0;-2YCanonical and Normalized Cayley Tables\033[133X\\
033[101X", "4.3", [ 4, 3, 0 ], 52, 15,
"canonical and normalized cayley tables", "X7BA749CA7DB4EA87" ],
[
"\033[1X\033[33X\033[0;-2YCreating Quasigroups and Loops From Cayley Tables\
\033[133X\033[101X", "4.4", [ 4, 4, 0 ], 85, 15,
"creating quasigroups and loops from cayley tables",
"X7C2372BB8739C5A2" ],
[
"\033[1X\033[33X\033[0;-2YQuasigroupByCayleyTable and LoopByCayleyTable\\
033[133X\033[101X", "4.4-1", [ 4, 4, 1 ], 88, 15,
"quasigroupbycayleytable and loopbycayleytable", "X860135BB85F2DB19" ],
[ "\033[1X\033[33X\033[0;-2YCreating Quasigroups and Loops from a File\033[1\
33X\033[101X", "4.5", [ 4, 5, 0 ], 111, 16,
"creating quasigroups and loops from a file", "X849944F17E2B37F8" ],
[
"\033[1X\033[33X\033[0;-2YQuasigroupFromFile and LoopFromFile\033[133X\033[\
101X", "4.5-1", [ 4, 5, 1 ], 183, 17, "quasigroupfromfile and loopfromfile",
"X81A1DB918057933E" ],
[
"\033[1X\033[33X\033[0;-2YCreating Quasigroups and Loops From Sections\033[\
133X\033[101X", "4.6", [ 4, 6, 0 ], 192, 17,
"creating quasigroups and loops from sections", "X820E67F88319C38B" ],
[ "\033[1X\033[33X\033[0;-2YQuasigroupByLeftSection and LoopByLeftSection\
\033[133X\033[101X", "4.6-2", [ 4, 6, 2 ], 208, 17,
"quasigroupbyleftsection and loopbyleftsection", "X7EC1EB0D7B8382A1" ],
[ "\033[1X\033[33X\033[0;-2YQuasigroupByRightSection and LoopByRightSection\
\033[133X\033[101X", "4.6-3", [ 4, 6, 3 ], 222, 17,
"quasigroupbyrightsection and loopbyrightsection", "X80B436ED7CC0749E" ]
,
[
"\033[1X\033[33X\033[0;-2YCreating Quasigroups and Loops From Folders\033[1\
33X\033[101X", "4.7", [ 4, 7, 0 ], 241, 18,
"creating quasigroups and loops from folders", "X85ABE99E84E5B0E8" ],
[
"\033[1X\033[33X\033[0;-2YQuasigroupByRightFolder and LoopByRightFolder\\
033[133X\033[101X", "4.7-1", [ 4, 7, 1 ], 253, 18,
"quasigroupbyrightfolder and loopbyrightfolder", "X83168E62861F70AB" ],
[ "\033[1X\033[33X\033[0;-2YCreating Quasigroups and Loops By Nuclear Extens\
ions\033[133X\033[101X", "4.8", [ 4, 8, 0 ], 273, 18,
"creating quasigroups and loops by nuclear extensions",
"X8759431780AC81A9" ],
[ "\033[1X\033[33X\033[0;-2YRandom Quasigroups and Loops\033[133X\033[101X",
"4.9", [ 4, 9, 0 ], 317, 19, "random quasigroups and loops",
"X7AE29A1A7AA5C25A" ],
[
"\033[1X\033[33X\033[0;-2YRandomQuasigroup and RandomLoop\033[133X\033[101X\
", "4.9-1", [ 4, 9, 1 ], 342, 19, "randomquasigroup and randomloop",
"X8271C0F5786B6FA9" ],
[ "\033[1X\033[33X\033[0;-2YConversions\033[133X\033[101X", "4.10",
[ 4, 10, 0 ], 371, 20, "conversions", "X7BC2D8877A943D74" ],
[
"\033[1X\033[33X\033[0;-2YProducts of Quasigroups and Loops\033[133X\033[10\
1X", "4.11", [ 4, 11, 0 ], 429, 21, "products of quasigroups and loops",
"X79B7327C79029086" ],
[
"\033[1X\033[33X\033[0;-2YOpposite Quasigroups and Loops\033[133X\033[101X"
, "4.12", [ 4, 12, 0 ], 441, 21, "opposite quasigroups and loops",
"X7865FC8D7854C2E3" ],
[
"\033[1X\033[33X\033[0;-2YOpposite, OppositeQuasigroup and OppositeLoop\\
033[133X\033[101X", "4.12-1", [ 4, 12, 1 ], 448, 21,
"opposite oppositequasigroup and oppositeloop", "X87B6AED47EE2BCD3" ],
[ "\033[1X\033[33X\033[0;-2YBasic Methods And Attributes\033[133X\033[101X",
"5", [ 5, 0, 0 ], 1, 22, "basic methods and attributes",
"X7B9F619279641FAA" ],
[ "\033[1X\033[33X\033[0;-2YBasic Attributes\033[133X\033[101X", "5.1",
[ 5, 1, 0 ], 7, 22, "basic attributes", "X8373A7348161DB23" ],
[ "\033[1X\033[33X\033[0;-2YBasic Arithmetic Operations\033[133X\033[101X",
"5.2", [ 5, 2, 0 ], 52, 23, "basic arithmetic operations",
"X82F2CA4A848ABD2B" ],
[
"\033[1X\033[33X\033[0;-2YLeftDivision and RightDivision\033[133X\033[101X"
, "5.2-1", [ 5, 2, 1 ], 66, 23, "leftdivision and rightdivision",
"X7D5956967BCC1834" ],
[
"\033[1X\033[33X\033[0;-2YLeftDivisionCayleyTable and RightDivisionCayleyTa\
ble\033[133X\033[101X", "5.2-2", [ 5, 2, 2 ], 85, 23,
"leftdivisioncayleytable and rightdivisioncayleytable",
"X804F67C8796A0EB3" ],
[ "\033[1X\033[33X\033[0;-2YPowers and Inverses\033[133X\033[101X", "5.3",
[ 5, 3, 0 ], 93, 23, "powers and inverses", "X810850247ADB4EE9" ],
[
"\033[1X\033[33X\033[0;-2YLeftInverse, RightInverse and Inverse\033[133X\\
033[101X", "5.3-1", [ 5, 3, 1 ], 108, 24,
"leftinverse rightinverse and inverse", "X805781838020CF44" ],
[ "\033[1X\033[33X\033[0;-2YAssociators and Commutators\033[133X\033[101X",
"5.4", [ 5, 4, 0 ], 130, 24, "associators and commutators",
"X7E0849977869E53D" ],
[ "\033[1X\033[33X\033[0;-2YGenerators\033[133X\033[101X", "5.5",
[ 5, 5, 0 ], 145, 24, "generators", "X7BD5B55C802805B4" ],
[
"\033[1X\033[33X\033[0;-2YGeneratorsOfQuasigroup and GeneratorsOfLoop\033[1\
33X\033[101X", "5.5-1", [ 5, 5, 1 ], 148, 24,
"generatorsofquasigroup and generatorsofloop", "X83944A777D161D10" ],
[
"\033[1X\033[33X\033[0;-2YMethods Based on Permutation Groups\033[133X\033[\
101X", "6", [ 6, 0, 0 ], 1, 26, "methods based on permutation groups",
"X794A04C5854D352B" ],
[ "\033[1X\033[33X\033[0;-2YParent of a Quasigroup\033[133X\033[101X",
"6.1", [ 6, 1, 0 ], 11, 26, "parent of a quasigroup",
"X8731D818827C08F3" ],
[ "\033[1X\033[33X\033[0;-2YSubquasigroups and Subloops\033[133X\033[101X",
"6.2", [ 6, 2, 0 ], 62, 27, "subquasigroups and subloops",
"X83EDF04F7952143F" ],
[ "\033[1X\033[33X\033[0;-2YIsSubquasigroup and IsSubloop\033[133X\033[101X"
, "6.2-3", [ 6, 2, 3 ], 93, 27, "issubquasigroup and issubloop",
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[ "\033[1X\033[33X\033[0;-2YTranslations and Sections\033[133X\033[101X",
"6.3", [ 6, 3, 0 ], 133, 28, "translations and sections",
"X78AA3D177CCA49FF" ],
[
"\033[1X\033[33X\033[0;-2YLeftTranslation and RightTranslation\033[133X\\
033[101X", "6.3-1", [ 6, 3, 1 ], 143, 28,
"lefttranslation and righttranslation", "X7B45B48C7C4D6061" ],
[ "\033[1X\033[33X\033[0;-2YLeftSection and RightSection\033[133X\033[101X",
"6.3-2", [ 6, 3, 2 ], 151, 28, "leftsection and rightsection",
"X7EB9197C80FB4664" ],
[ "\033[1X\033[33X\033[0;-2YMultiplication Groups\033[133X\033[101X",
"6.4", [ 6, 4, 0 ], 190, 29, "multiplication groups",
"X78ED50F578A88046" ],
[
"\033[1X\033[33X\033[0;-2YLeftMultiplicationGroup, RightMultiplicationGroup\
and MultiplicationGroup\033[133X\033[101X", "6.4-1", [ 6, 4, 1 ], 193, 29,
"leftmultiplicationgroup rightmultiplicationgroup and multiplicationgrou\
p", "X7AB8C9947C1303E2" ],
[
"\033[1X\033[33X\033[0;-2YRelativeLeftMultiplicationGroup, RelativeRightMul\
tiplicationGroup and RelativeMultiplicationGroup\033[133X\033[101X", "6.4-2",
[ 6, 4, 2 ], 203, 29,
"relativeleftmultiplicationgroup relativerightmultiplicationgroup and re\
lativemultiplicationgroup", "X847256B779E1E7E5" ],
[ "\033[1X\033[33X\033[0;-2YInner Mapping Groups\033[133X\033[101X", "6.5",
[ 6, 5, 0 ], 220, 30, "inner mapping groups", "X8740D61178ACD217" ],
[
"\033[1X\033[33X\033[0;-2YLeftInnerMapping, RightInnerMapping, MiddleInnerM\
apping\033[133X\033[101X", "6.5-1", [ 6, 5, 1 ], 231, 30,
"leftinnermapping rightinnermapping middleinnermapping",
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[
"\033[1X\033[33X\033[0;-2YLeftInnerMappingGroup, RightInnerMappingGroup, Mi\
ddleInnerMappingGroup\033[133X\033[101X", "6.5-2", [ 6, 5, 2 ], 240, 30,
"leftinnermappinggroup rightinnermappinggroup middleinnermappinggroup",
"X79CDA09A7D48BF2B" ],
[
"\033[1X\033[33X\033[0;-2YNuclei, Commutant, Center, and Associator Subloop\
\033[133X\033[101X", "6.6", [ 6, 6, 0 ], 268, 30,
"nuclei commutant center and associator subloop", "X7B45C2AF7C2E28AB" ],
[ "\033[1X\033[33X\033[0;-2YLeftNucleus, MiddleNucleus, and RightNucleus\033\
[133X\033[101X", "6.6-1", [ 6, 6, 1 ], 273, 31,
"leftnucleus middlenucleus and rightnucleus", "X798316F47A47FF63" ],
[
"\033[1X\033[33X\033[0;-2YNuc, NucleusOfQuasigroup and NucleusOfLoop\033[13\
3X\033[101X", "6.6-2", [ 6, 6, 2 ], 282, 31,
"nuc nucleusofquasigroup and nucleusofloop", "X84D389677A91C290" ],
[
"\033[1X\033[33X\033[0;-2YNormal Subloops and Simple Loops\033[133X\033[101\
X", "6.7", [ 6, 7, 0 ], 320, 31, "normal subloops and simple loops",
"X85B650D284FE39F3" ],
[ "\033[1X\033[33X\033[0;-2YFactor Loops\033[133X\033[101X", "6.8",
[ 6, 8, 0 ], 346, 32, "factor loops", "X87F66DB383C29A4A" ],
[ "\033[1X\033[33X\033[0;-2YNilpotency and Central Series\033[133X\033[101X"
, "6.9", [ 6, 9, 0 ], 373, 32, "nilpotency and central series",
"X821F40748401D698" ],
[
"\033[1X\033[33X\033[0;-2YSolvability, Derived Series and Frattini Subloop\\
033[133X\033[101X", "6.10", [ 6, 10, 0 ], 411, 33,
"solvability derived series and frattini subloop", "X83A38A6C7EDBCA63" ]
,
[
"\033[1X\033[33X\033[0;-2YFrattiniSubloop and FrattinifactorSize\033[133X\\
033[101X", "6.10-4", [ 6, 10, 4 ], 432, 33,
"frattinisubloop and frattinifactorsize", "X85BD2C517FA7A47E" ],
[
"\033[1X\033[33X\033[0;-2YIsomorphisms and Automorphisms\033[133X\033[101X"
, "6.11", [ 6, 11, 0 ], 444, 34, "isomorphisms and automorphisms",
"X81F3496578EAA74E" ],
[ "\033[1X\033[33X\033[0;-2YIsotopisms\033[133X\033[101X", "6.12",
[ 6, 12, 0 ], 543, 35, "isotopisms", "X7E996BDD81E594F9" ],
[
"\033[1X\033[33X\033[0;-2YTesting Properties of Quasigroups and Loops\033[1\
33X\033[101X", "7", [ 7, 0, 0 ], 1, 37,
"testing properties of quasigroups and loops", "X7910E575825C713E" ],
[
"\033[1X\033[33X\033[0;-2YAssociativity, Commutativity and Generalizations\\
033[133X\033[101X", "7.1", [ 7, 1, 0 ], 16, 37,
"associativity commutativity and generalizations", "X7960E3FB7A7F0F00" ]
, [ "\033[1X\033[33X\033[0;-2YInverse Properties\033[133X\033[101X",
"7.2", [ 7, 2, 0 ], 46, 38, "inverse properties", "X8748BA2187604B24" ],
[ "\033[1X\033[33X\033[0;-2YHasLeftInverseProperty, HasRightInverseProperty \
and HasInverseProperty\033[133X\033[101X", "7.2-1", [ 7, 2, 1 ], 53, 38,
"hasleftinverseproperty hasrightinverseproperty and hasinverseproperty",
"X85EDD10586596458" ],
[
"\033[1X\033[33X\033[0;-2YSome Properties of Quasigroups\033[133X\033[101X"
, "7.3", [ 7, 3, 0 ], 102, 39, "some properties of quasigroups",
"X7D8CB6DA828FD744" ],
[
"\033[1X\033[33X\033[0;-2YIsLeftDistributive, IsRightDistributive, IsDistri\
butive\033[133X\033[101X", "7.3-6", [ 7, 3, 6 ], 143, 39,
"isleftdistributive isrightdistributive isdistributive",
"X7B76FD6E878ED4F1" ],
[ "\033[1X\033[33X\033[0;-2YIsEntropic and IsMedial\033[133X\033[101X",
"7.3-7", [ 7, 3, 7 ], 160, 40, "isentropic and ismedial",
"X7F23D4D97A38D223" ],
[ "\033[1X\033[33X\033[0;-2YLoops of Bol Moufang Type\033[133X\033[101X",
"7.4", [ 7, 4, 0 ], 170, 40, "loops of bol moufang type",
"X780D907986EBA6C7" ],
[ "\033[1X\033[33X\033[0;-2YPower Alternative Loops\033[133X\033[101X",
"7.5", [ 7, 5, 0 ], 324, 43, "power alternative loops",
"X83A501387E1AC371" ],
[
"\033[1X\033[33X\033[0;-2YIsLeftPowerAlternative, IsRightPowerAlternative a\
nd IsPowerAlternative\033[133X\033[101X", "7.5-1", [ 7, 5, 1 ], 337, 43,
"isleftpoweralternative isrightpoweralternative and ispoweralternative",
"X875C3DF681B3FAE2" ],
[
"\033[1X\033[33X\033[0;-2YConjugacy Closed Loops and Related Properties\\
033[133X\033[101X", "7.6", [ 7, 6, 0 ], 346, 43,
"conjugacy closed loops and related properties", "X8176B2C47A4629CD" ],
[ "\033[1X\033[33X\033[0;-2YAutomorphic Loops\033[133X\033[101X", "7.7",
[ 7, 7, 0 ], 384, 44, "automorphic loops", "X793B22EA8643C667" ],
[ "\033[1X\033[33X\033[0;-2YAdditional Varieties of Loops\033[133X\033[101X"
, "7.8", [ 7, 8, 0 ], 451, 45, "additional varieties of loops",
"X878C9D247FB0D56E" ],
[
"\033[1X\033[33X\033[0;-2YIsLeftBruckLoop and IsLeftKLoop\033[133X\033[101X\
", "7.8-3", [ 7, 8, 3 ], 470, 45, "isleftbruckloop and isleftkloop",
"X85F1BD4280E44F5B" ],
[
"\033[1X\033[33X\033[0;-2YIsRightBruckLoop and IsRightKLoop\033[133X\033[10\
1X", "7.8-4", [ 7, 8, 4 ], 480, 45, "isrightbruckloop and isrightkloop",
"X857B373E7B4E0519" ],
[ "\033[1X\033[33X\033[0;-2YSpecific Methods\033[133X\033[101X", "8",
[ 8, 0, 0 ], 1, 46, "specific methods", "X85AFC9C47FD3C03F" ],
[ "\033[1X\033[33X\033[0;-2YCore Methods for Bol Loops\033[133X\033[101X",
"8.1", [ 8, 1, 0 ], 7, 46, "core methods for bol loops",
"X7990F2F880E717EE" ],
[
"\033[1X\033[33X\033[0;-2YAssociatedLeftBruckLoop and AssociatedRightBruckL\
oop\033[133X\033[101X", "8.1-1", [ 8, 1, 1 ], 10, 46,
"associatedleftbruckloop and associatedrightbruckloop",
"X8664CA927DD73DBE" ],
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[ "\033[2XIsDiassociative\033[102X", "7.1-4", [ 7, 1, 4 ], 37, 37,
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[ "\033[2XHasAutomorphicInverseProperty\033[102X", "7.2-4", [ 7, 2, 4 ],
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[ "quasigroup Steiner", "7.3-4", [ 7, 3, 4 ], 129, 39, "quasigroup steiner",
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[ "\033[2XIsUnipotent\033[102X", "7.3-5", [ 7, 3, 5 ], 136, 39,
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[ "alternative loop right", "7.4", [ 7, 4, 0 ], 170, 40,
"alternative loop right", "X780D907986EBA6C7" ],
[ "loop right alternative", "7.4", [ 7, 4, 0 ], 170, 40,
"loop right alternative", "X780D907986EBA6C7" ],
[ "nuclear square loop left", "7.4", [ 7, 4, 0 ], 170, 40,
"nuclear square loop left", "X780D907986EBA6C7" ],
[ "loop left nuclear square", "7.4", [ 7, 4, 0 ], 170, 40,
"loop left nuclear square", "X780D907986EBA6C7" ],
[ "nuclear square loop middle", "7.4", [ 7, 4, 0 ], 170, 40,
"nuclear square loop middle", "X780D907986EBA6C7" ],
[ "loop middle nuclear square", "7.4", [ 7, 4, 0 ], 170, 40,
"loop middle nuclear square", "X780D907986EBA6C7" ],
[ "nuclear square loop right", "7.4", [ 7, 4, 0 ], 170, 40,
"nuclear square loop right", "X780D907986EBA6C7" ],
[ "loop right nuclear square", "7.4", [ 7, 4, 0 ], 170, 40,
"loop right nuclear square", "X780D907986EBA6C7" ],
[ "flexible loop", "7.4", [ 7, 4, 0 ], 170, 40, "flexible loop",
"X780D907986EBA6C7" ],
[ "loop flexible", "7.4", [ 7, 4, 0 ], 170, 40, "loop flexible",
"X780D907986EBA6C7" ],
[ "Bol loop left", "7.4", [ 7, 4, 0 ], 170, 40, "bol loop left",
"X780D907986EBA6C7" ],
[ "loop left Bol", "7.4", [ 7, 4, 0 ], 170, 40, "loop left bol",
"X780D907986EBA6C7" ],
[ "Bol loop right", "7.4", [ 7, 4, 0 ], 170, 40, "bol loop right",
"X780D907986EBA6C7" ],
[ "loop right Bol", "7.4", [ 7, 4, 0 ], 170, 40, "loop right bol",
"X780D907986EBA6C7" ],
[ "LC loop", "7.4", [ 7, 4, 0 ], 170, 40, "lc loop", "X780D907986EBA6C7" ],
[ "loop LC", "7.4", [ 7, 4, 0 ], 170, 40, "loop lc", "X780D907986EBA6C7" ],
[ "RC loop", "7.4", [ 7, 4, 0 ], 170, 40, "rc loop", "X780D907986EBA6C7" ],
[ "loop RC", "7.4", [ 7, 4, 0 ], 170, 40, "loop rc", "X780D907986EBA6C7" ],
[ "Moufang loop", "7.4", [ 7, 4, 0 ], 170, 40, "moufang loop",
"X780D907986EBA6C7" ],
[ "loop Moufang", "7.4", [ 7, 4, 0 ], 170, 40, "loop moufang",
"X780D907986EBA6C7" ],
[ "C loop", "7.4", [ 7, 4, 0 ], 170, 40, "c loop", "X780D907986EBA6C7" ],
[ "loop C", "7.4", [ 7, 4, 0 ], 170, 40, "loop c", "X780D907986EBA6C7" ],
[ "extra loop", "7.4", [ 7, 4, 0 ], 170, 40, "extra loop",
"X780D907986EBA6C7" ],
[ "loop extra", "7.4", [ 7, 4, 0 ], 170, 40, "loop extra",
"X780D907986EBA6C7" ],
[ "alternative loop", "7.4", [ 7, 4, 0 ], 170, 40, "alternative loop",
"X780D907986EBA6C7" ],
[ "loop alternative", "7.4", [ 7, 4, 0 ], 170, 40, "loop alternative",
"X780D907986EBA6C7" ],
[ "nuclear square loop", "7.4", [ 7, 4, 0 ], 170, 40, "nuclear square loop",
"X780D907986EBA6C7" ],
[ "loop nuclear square", "7.4", [ 7, 4, 0 ], 170, 40, "loop nuclear square",
"X780D907986EBA6C7" ],
[ "\033[2XIsExtraLoop\033[102X", "7.4-1", [ 7, 4, 1 ], 223, 41,
"isextraloop", "X7988AFE27D06ACB5" ],
[ "\033[2XIsMoufangLoop\033[102X", "7.4-2", [ 7, 4, 2 ], 228, 41,
"ismoufangloop", "X7F1C151484C97E61" ],
[ "\033[2XIsCLoop\033[102X", "7.4-3", [ 7, 4, 3 ], 233, 41, "iscloop",
"X866F04DC7AE54B7C" ],
[ "\033[2XIsLeftBolLoop\033[102X", "7.4-4", [ 7, 4, 4 ], 238, 41,
"isleftbolloop", "X801DAAE8834A1A65" ],
[ "\033[2XIsRightBolLoop\033[102X", "7.4-5", [ 7, 4, 5 ], 243, 41,
"isrightbolloop", "X79279F9787E72566" ],
[ "\033[2XIsLCLoop\033[102X", "7.4-6", [ 7, 4, 6 ], 248, 41, "islcloop",
"X789E0A6979697C4C" ],
[ "\033[2XIsRCLoop\033[102X", "7.4-7", [ 7, 4, 7 ], 253, 41, "isrcloop",
"X7B03CC577802F4AB" ],
[ "\033[2XIsLeftNuclearSquareLoop\033[102X", "7.4-8", [ 7, 4, 8 ], 258, 41,
"isleftnuclearsquareloop", "X819F285887B5EB9E" ],
[ "\033[2XIsMiddleNuclearSquareLoop\033[102X", "7.4-9", [ 7, 4, 9 ], 263,
41, "ismiddlenuclearsquareloop", "X8474F55681244A8A" ],
[ "\033[2XIsRightNuclearSquareLoop\033[102X", "7.4-10", [ 7, 4, 10 ], 268,
41, "isrightnuclearsquareloop", "X807B3B21825E3076" ],
[ "\033[2XIsNuclearSquareLoop\033[102X", "7.4-11", [ 7, 4, 11 ], 273, 42,
"isnuclearsquareloop", "X796650088213229B" ],
[ "\033[2XIsFlexible\033[102X", "7.4-12", [ 7, 4, 12 ], 278, 42,
"isflexible", "X7C32851A7AF1C45F" ],
[ "\033[2XIsLeftAlternative\033[102X", "7.4-13", [ 7, 4, 13 ], 283, 42,
"isleftalternative", "X7DF0196786B9CE08" ],
[ "\033[2XIsRightAlternative\033[102X", "7.4-14", [ 7, 4, 14 ], 288, 42,
"isrightalternative", "X8416FAD87F148F5D" ],
[ "\033[2XIsAlternative\033[102X", "7.4-15", [ 7, 4, 15 ], 293, 42,
"isalternative", "X8379356E82DB5DDA" ],
[ "power alternative loop left", "7.5", [ 7, 5, 0 ], 324, 43,
"power alternative loop left", "X83A501387E1AC371" ],
[ "loop left power alternative", "7.5", [ 7, 5, 0 ], 324, 43,
"loop left power alternative", "X83A501387E1AC371" ],
[ "power alternative loop right", "7.5", [ 7, 5, 0 ], 324, 43,
"power alternative loop right", "X83A501387E1AC371" ],
[ "loop right power alternative", "7.5", [ 7, 5, 0 ], 324, 43,
"loop right power alternative", "X83A501387E1AC371" ],
[ "power alternative loop", "7.5", [ 7, 5, 0 ], 324, 43,
"power alternative loop", "X83A501387E1AC371" ],
[ "loop power alternative", "7.5", [ 7, 5, 0 ], 324, 43,
"loop power alternative", "X83A501387E1AC371" ],
[ "\033[2XIsLeftPowerAlternative\033[102X", "7.5-1", [ 7, 5, 1 ], 337, 43,
"isleftpoweralternative", "X875C3DF681B3FAE2" ],
[ "\033[2XIsRightPowerAlternative\033[102X", "7.5-1", [ 7, 5, 1 ], 337, 43,
"isrightpoweralternative", "X875C3DF681B3FAE2" ],
[ "\033[2XIsPowerAlternative\033[102X", "7.5-1", [ 7, 5, 1 ], 337, 43,
"ispoweralternative", "X875C3DF681B3FAE2" ],
[ "conjugacy closed loop left", "7.6", [ 7, 6, 0 ], 346, 43,
"conjugacy closed loop left", "X8176B2C47A4629CD" ],
[ "loop left conjugacy closed", "7.6", [ 7, 6, 0 ], 346, 43,
"loop left conjugacy closed", "X8176B2C47A4629CD" ],
[ "conjugacy closed loop right", "7.6", [ 7, 6, 0 ], 346, 43,
"conjugacy closed loop right", "X8176B2C47A4629CD" ],
[ "loop right conjugacy closed", "7.6", [ 7, 6, 0 ], 346, 43,
"loop right conjugacy closed", "X8176B2C47A4629CD" ],
[ "conjugacy closed loop", "7.6", [ 7, 6, 0 ], 346, 43,
"conjugacy closed loop", "X8176B2C47A4629CD" ],
[ "loop conjugacy closed", "7.6", [ 7, 6, 0 ], 346, 43,
"loop conjugacy closed", "X8176B2C47A4629CD" ],
[ "\033[2XIsLCCLoop\033[102X", "7.6-1", [ 7, 6, 1 ], 358, 43, "islccloop",
"X784E08CD7B710AF4" ],
[ "\033[2XIsLeftConjugacyClosedLoop\033[102X", "7.6-1", [ 7, 6, 1 ], 358,
43, "isleftconjugacyclosedloop", "X784E08CD7B710AF4" ],
[ "\033[2XIsRCCLoop\033[102X", "7.6-2", [ 7, 6, 2 ], 364, 43, "isrccloop",
"X7B3016B47A1A8213" ],
[ "\033[2XIsRightConjugacyClosedLoop\033[102X", "7.6-2", [ 7, 6, 2 ], 364,
43, "isrightconjugacyclosedloop", "X7B3016B47A1A8213" ],
[ "\033[2XIsCCLoop\033[102X", "7.6-3", [ 7, 6, 3 ], 370, 43, "isccloop",
"X878B614479DCB83F" ],
[ "\033[2XIsConjugacyClosedLoop\033[102X", "7.6-3", [ 7, 6, 3 ], 370, 43,
"isconjugacyclosedloop", "X878B614479DCB83F" ],
[ "\033[2XIsOsbornLoop\033[102X", "7.6-4", [ 7, 6, 4 ], 376, 43,
"isosbornloop", "X8655956878205FC1" ],
[ "Osborn loop", "7.6-4", [ 7, 6, 4 ], 376, 43, "osborn loop",
"X8655956878205FC1" ],
[ "loop Osborn", "7.6-4", [ 7, 6, 4 ], 376, 43, "loop osborn",
"X8655956878205FC1" ],
[ "automorphic loop left", "7.7", [ 7, 7, 0 ], 384, 44,
"automorphic loop left", "X793B22EA8643C667" ],
[ "loop left automorphic", "7.7", [ 7, 7, 0 ], 384, 44,
"loop left automorphic", "X793B22EA8643C667" ],
[ "automorphic loop middle", "7.7", [ 7, 7, 0 ], 384, 44,
"automorphic loop middle", "X793B22EA8643C667" ],
[ "loop middle automorphic", "7.7", [ 7, 7, 0 ], 384, 44,
"loop middle automorphic", "X793B22EA8643C667" ],
[ "automorphic loop right", "7.7", [ 7, 7, 0 ], 384, 44,
"automorphic loop right", "X793B22EA8643C667" ],
[ "loop right automorphic", "7.7", [ 7, 7, 0 ], 384, 44,
"loop right automorphic", "X793B22EA8643C667" ],
[ "automorphic loop", "7.7", [ 7, 7, 0 ], 384, 44, "automorphic loop",
"X793B22EA8643C667" ],
[ "loop automorphic", "7.7", [ 7, 7, 0 ], 384, 44, "loop automorphic",
"X793B22EA8643C667" ],
[ "\033[2XIsLeftAutomorphicLoop\033[102X", "7.7-1", [ 7, 7, 1 ], 425, 44,
"isleftautomorphicloop", "X7F063914804659F1" ],
[ "\033[2XIsLeftALoop\033[102X", "7.7-1", [ 7, 7, 1 ], 425, 44,
"isleftaloop", "X7F063914804659F1" ],
[ "\033[2XIsMiddleAutomorphicLoop\033[102X", "7.7-2", [ 7, 7, 2 ], 431, 44,
"ismiddleautomorphicloop", "X7DFE830584A769E5" ],
[ "\033[2XIsMiddleALoop\033[102X", "7.7-2", [ 7, 7, 2 ], 431, 44,
"ismiddlealoop", "X7DFE830584A769E5" ],
[ "\033[2XIsRightAutomorphicLoop\033[102X", "7.7-3", [ 7, 7, 3 ], 437, 45,
"isrightautomorphicloop", "X7EA9165A87F99E35" ],
[ "\033[2XIsRightALoop\033[102X", "7.7-3", [ 7, 7, 3 ], 437, 45,
"isrightaloop", "X7EA9165A87F99E35" ],
[ "\033[2XIsAutomorphicLoop\033[102X", "7.7-4", [ 7, 7, 4 ], 443, 45,
"isautomorphicloop", "X7899603184CF13FD" ],
[ "\033[2XIsALoop\033[102X", "7.7-4", [ 7, 7, 4 ], 443, 45, "isaloop",
"X7899603184CF13FD" ],
[ "\033[2XIsCodeLoop\033[102X", "7.8-1", [ 7, 8, 1 ], 454, 45,
"iscodeloop", "X790FA1188087D5C1" ],
[ "code loop", "7.8-1", [ 7, 8, 1 ], 454, 45, "code loop",
"X790FA1188087D5C1" ],
[ "loop code", "7.8-1", [ 7, 8, 1 ], 454, 45, "loop code",
"X790FA1188087D5C1" ],
[ "\033[2XIsSteinerLoop\033[102X", "7.8-2", [ 7, 8, 2 ], 462, 45,
"issteinerloop", "X793600C9801F4F62" ],
[ "Steiner loop", "7.8-2", [ 7, 8, 2 ], 462, 45, "steiner loop",
"X793600C9801F4F62" ],
[ "loop Steiner", "7.8-2", [ 7, 8, 2 ], 462, 45, "loop steiner",
"X793600C9801F4F62" ],
[ "\033[2XIsLeftBruckLoop\033[102X", "7.8-3", [ 7, 8, 3 ], 470, 45,
"isleftbruckloop", "X85F1BD4280E44F5B" ],
[ "\033[2XIsLeftKLoop\033[102X", "7.8-3", [ 7, 8, 3 ], 470, 45,
"isleftkloop", "X85F1BD4280E44F5B" ],
[ "Bruck loop left", "7.8-3", [ 7, 8, 3 ], 470, 45, "bruck loop left",
"X85F1BD4280E44F5B" ],
[ "loop left Bruck", "7.8-3", [ 7, 8, 3 ], 470, 45, "loop left bruck",
"X85F1BD4280E44F5B" ],
[ "K loop left", "7.8-3", [ 7, 8, 3 ], 470, 45, "k loop left",
"X85F1BD4280E44F5B" ],
[ "loop left K", "7.8-3", [ 7, 8, 3 ], 470, 45, "loop left k",
"X85F1BD4280E44F5B" ],
[ "\033[2XIsRightBruckLoop\033[102X", "7.8-4", [ 7, 8, 4 ], 480, 45,
"isrightbruckloop", "X857B373E7B4E0519" ],
[ "\033[2XIsRightKLoop\033[102X", "7.8-4", [ 7, 8, 4 ], 480, 45,
"isrightkloop", "X857B373E7B4E0519" ],
[ "Bruck loop right", "7.8-4", [ 7, 8, 4 ], 480, 45, "bruck loop right",
"X857B373E7B4E0519" ],
[ "loop right Bruck", "7.8-4", [ 7, 8, 4 ], 480, 45, "loop right bruck",
"X857B373E7B4E0519" ],
[ "K loop right", "7.8-4", [ 7, 8, 4 ], 480, 45, "k loop right",
"X857B373E7B4E0519" ],
[ "loop right K", "7.8-4", [ 7, 8, 4 ], 480, 45, "loop right k",
"X857B373E7B4E0519" ],
[ "\033[2XAssociatedLeftBruckLoop\033[102X", "8.1-1", [ 8, 1, 1 ], 10, 46,
"associatedleftbruckloop", "X8664CA927DD73DBE" ],
[ "\033[2XAssociatedRightBruckLoop\033[102X", "8.1-1", [ 8, 1, 1 ], 10, 46,
"associatedrightbruckloop", "X8664CA927DD73DBE" ],
[ "loop left Bol", "8.1-1", [ 8, 1, 1 ], 10, 46, "loop left bol",
"X8664CA927DD73DBE" ],
[ "Bol loop left", "8.1-1", [ 8, 1, 1 ], 10, 46, "bol loop left",
"X8664CA927DD73DBE" ],
[ "Bruck loop associated left", "8.1-1", [ 8, 1, 1 ], 10, 46,
"bruck loop associated left", "X8664CA927DD73DBE" ],
[ "loop associated left Bruck", "8.1-1", [ 8, 1, 1 ], 10, 46,
"loop associated left bruck", "X8664CA927DD73DBE" ],
[ "\033[2XIsExactGroupFactorization\033[102X", "8.1-2", [ 8, 1, 2 ], 26,
--> --------------------
--> maximum size reached
--> --------------------
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