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\GAPDocLabFile{loops}
\makelabel{loops:Title page}{}{X7D2C85EC87DD46E5}
\makelabel{loops:Abstract}{}{X7AA6C5737B711C89}
\makelabel{loops:Copyright}{}{X81488B807F2A1CF1}
\makelabel{loops:Acknowledgements}{}{X82A988D47DFAFCFA}
\makelabel{loops:Table of Contents}{}{X8537FEB07AF2BEC8}
\makelabel{loops:Introduction}{1}{X7DFB63A97E67C0A1}
\makelabel{loops:Installation}{1.1}{X8360C04082558A12}
\makelabel{loops:Documentation}{1.2}{X7F4F8D6F7CD6B765}
\makelabel{loops:Test Files}{1.3}{X801051CC86594630}
\makelabel{loops:Memory Management}{1.4}{X79342B4E7E55FD0F}
\makelabel{loops:Feedback}{1.5}{X80D704CC7EBFDF7A}
\makelabel{loops:Mathematical Background}{2}{X7EF1B6708069B0C7}
\makelabel{loops:Quasigroups and Loops}{2.1}{X80243DE5826583B8}
\makelabel{loops:Translations}{2.2}{X7EC01B437CC2B2C9}
\makelabel{loops:Subquasigroups and Subloops}{2.3}{X83EDF04F7952143F}
\makelabel{loops:Nilpotence and Solvability}{2.4}{X869CBCE381E2C422}
\makelabel{loops:Associators and Commutators}{2.5}{X7E0849977869E53D}
\makelabel{loops:Homomorphism and Homotopisms}{2.6}{X791066ED7DD9F254}
\makelabel{loops:How the Package Works}{3}{X7A6DF65E826B8CFF}
\makelabel{loops:Representing Quasigroups}{3.1}{X86F02BBD87FEA1C6}
\makelabel{loops:Conversions between magmas, quasigroups, loops and groups}{3.2}{X807D76EF81B9D061}
\makelabel{loops:Calculating with Quasigroups}{3.3}{X87E49ED884FA6DC4}
\makelabel{loops:Naming, Viewing and Printing Quasigroups and their Elements}{3.4}{X7D75C7A6787AF72A}
\makelabel{loops:SetQuasigroupElmName and SetLoopElmName}{3.4.1}{X7A7EB1B579273D07}
\makelabel{loops:Creating Quasigroups and Loops}{4}{X7AA4B9C0877550ED}
\makelabel{loops:About Cayley Tables}{4.1}{X7DE8405B82BC36A9}
\makelabel{loops:Testing Cayley Tables}{4.2}{X7827BF877AA87246}
\makelabel{loops:IsQuasigroupTable and IsQuasigroupCayleyTable}{4.2.1}{X81179355869B9DFE}
\makelabel{loops:IsLoopTable and IsLoopCayleyTable}{4.2.2}{X7AAE48507A471069}
\makelabel{loops:Canonical and Normalized Cayley Tables}{4.3}{X7BA749CA7DB4EA87}
\makelabel{loops:Creating Quasigroups and Loops From Cayley Tables}{4.4}{X7C2372BB8739C5A2}
\makelabel{loops:QuasigroupByCayleyTable and LoopByCayleyTable}{4.4.1}{X860135BB85F2DB19}
\makelabel{loops:Creating Quasigroups and Loops from a File}{4.5}{X849944F17E2B37F8}
\makelabel{loops:QuasigroupFromFile and LoopFromFile}{4.5.1}{X81A1DB918057933E}
\makelabel{loops:Creating Quasigroups and Loops From Sections}{4.6}{X820E67F88319C38B}
\makelabel{loops:QuasigroupByLeftSection and LoopByLeftSection}{4.6.2}{X7EC1EB0D7B8382A1}
\makelabel{loops:QuasigroupByRightSection and LoopByRightSection}{4.6.3}{X80B436ED7CC0749E}
\makelabel{loops:Creating Quasigroups and Loops From Folders}{4.7}{X85ABE99E84E5B0E8}
\makelabel{loops:QuasigroupByRightFolder and LoopByRightFolder}{4.7.1}{X83168E62861F70AB}
\makelabel{loops:Creating Quasigroups and Loops By Nuclear Extensions}{4.8}{X8759431780AC81A9}
\makelabel{loops:Random Quasigroups and Loops}{4.9}{X7AE29A1A7AA5C25A}
\makelabel{loops:RandomQuasigroup and RandomLoop}{4.9.1}{X8271C0F5786B6FA9}
\makelabel{loops:Conversions}{4.10}{X7BC2D8877A943D74}
\makelabel{loops:Products of Quasigroups and Loops}{4.11}{X79B7327C79029086}
\makelabel{loops:Opposite Quasigroups and Loops}{4.12}{X7865FC8D7854C2E3}
\makelabel{loops:Opposite, OppositeQuasigroup and OppositeLoop}{4.12.1}{X87B6AED47EE2BCD3}
\makelabel{loops:Basic Methods And Attributes}{5}{X7B9F619279641FAA}
\makelabel{loops:Basic Attributes}{5.1}{X8373A7348161DB23}
\makelabel{loops:Basic Arithmetic Operations}{5.2}{X82F2CA4A848ABD2B}
\makelabel{loops:LeftDivision and RightDivision}{5.2.1}{X7D5956967BCC1834}
\makelabel{loops:LeftDivisionCayleyTable and RightDivisionCayleyTable}{5.2.2}{X804F67C8796A0EB3}
\makelabel{loops:Powers and Inverses}{5.3}{X810850247ADB4EE9}
\makelabel{loops:LeftInverse, RightInverse and Inverse}{5.3.1}{X805781838020CF44}
\makelabel{loops:Associators and Commutators}{5.4}{X7E0849977869E53D}
\makelabel{loops:Generators}{5.5}{X7BD5B55C802805B4}
\makelabel{loops:GeneratorsOfQuasigroup and GeneratorsOfLoop}{5.5.1}{X83944A777D161D10}
\makelabel{loops:Methods Based on Permutation Groups}{6}{X794A04C5854D352B}
\makelabel{loops:Parent of a Quasigroup}{6.1}{X8731D818827C08F3}
\makelabel{loops:Subquasigroups and Subloops}{6.2}{X83EDF04F7952143F}
\makelabel{loops:IsSubquasigroup and IsSubloop}{6.2.3}{X87AC8B7E80CE9260}
\makelabel{loops:Translations and Sections}{6.3}{X78AA3D177CCA49FF}
\makelabel{loops:LeftTranslation and RightTranslation}{6.3.1}{X7B45B48C7C4D6061}
\makelabel{loops:LeftSection and RightSection}{6.3.2}{X7EB9197C80FB4664}
\makelabel{loops:Multiplication Groups}{6.4}{X78ED50F578A88046}
\makelabel{loops:LeftMultiplicationGroup, RightMultiplicationGroup and MultiplicationGroup}{6.4.1}{X7AB8C9947C1303E2}
\makelabel{loops:RelativeLeftMultiplicationGroup, RelativeRightMultiplicationGroup and RelativeMultiplicationGroup}{6.4.2}{X847256B779E1E7E5}
\makelabel{loops:Inner Mapping Groups}{6.5}{X8740D61178ACD217}
\makelabel{loops:LeftInnerMapping, RightInnerMapping, MiddleInnerMapping}{6.5.1}{X7EE1E78C856C6F7C}
\makelabel{loops:LeftInnerMappingGroup, RightInnerMappingGroup, MiddleInnerMappingGroup}{6.5.2}{X79CDA09A7D48BF2B}
\makelabel{loops:Nuclei, Commutant, Center, and Associator Subloop}{6.6}{X7B45C2AF7C2E28AB}
\makelabel{loops:LeftNucleus, MiddleNucleus, and RightNucleus}{6.6.1}{X798316F47A47FF63}
\makelabel{loops:Nuc, NucleusOfQuasigroup and NucleusOfLoop}{6.6.2}{X84D389677A91C290}
\makelabel{loops:Normal Subloops and Simple Loops}{6.7}{X85B650D284FE39F3}
\makelabel{loops:Factor Loops}{6.8}{X87F66DB383C29A4A}
\makelabel{loops:Nilpotency and Central Series}{6.9}{X821F40748401D698}
\makelabel{loops:Solvability, Derived Series and Frattini Subloop}{6.10}{X83A38A6C7EDBCA63}
\makelabel{loops:FrattiniSubloop and FrattinifactorSize}{6.10.4}{X85BD2C517FA7A47E}
\makelabel{loops:Isomorphisms and Automorphisms}{6.11}{X81F3496578EAA74E}
\makelabel{loops:Isotopisms}{6.12}{X7E996BDD81E594F9}
\makelabel{loops:Testing Properties of Quasigroups and Loops}{7}{X7910E575825C713E}
\makelabel{loops:Associativity, Commutativity and Generalizations}{7.1}{X7960E3FB7A7F0F00}
\makelabel{loops:Inverse Properties}{7.2}{X8748BA2187604B24}
\makelabel{loops:HasLeftInverseProperty, HasRightInverseProperty and HasInverseProperty}{7.2.1}{X85EDD10586596458}
\makelabel{loops:Some Properties of Quasigroups}{7.3}{X7D8CB6DA828FD744}
\makelabel{loops:IsLeftDistributive, IsRightDistributive, IsDistributive}{7.3.6}{X7B76FD6E878ED4F1}
\makelabel{loops:IsEntropic and IsMedial}{7.3.7}{X7F23D4D97A38D223}
\makelabel{loops:Loops of Bol Moufang Type}{7.4}{X780D907986EBA6C7}
\makelabel{loops:Power Alternative Loops}{7.5}{X83A501387E1AC371}
\makelabel{loops:IsLeftPowerAlternative, IsRightPowerAlternative and IsPowerAlternative}{7.5.1}{X875C3DF681B3FAE2}
\makelabel{loops:Conjugacy Closed Loops and Related Properties}{7.6}{X8176B2C47A4629CD}
\makelabel{loops:Automorphic Loops}{7.7}{X793B22EA8643C667}
\makelabel{loops:Additional Varieties of Loops}{7.8}{X878C9D247FB0D56E}
\makelabel{loops:IsLeftBruckLoop and IsLeftKLoop}{7.8.3}{X85F1BD4280E44F5B}
\makelabel{loops:IsRightBruckLoop and IsRightKLoop}{7.8.4}{X857B373E7B4E0519}
\makelabel{loops:Specific Methods}{8}{X85AFC9C47FD3C03F}
\makelabel{loops:Core Methods for Bol Loops}{8.1}{X7990F2F880E717EE}
\makelabel{loops:AssociatedLeftBruckLoop and AssociatedRightBruckLoop}{8.1.1}{X8664CA927DD73DBE}
\makelabel{loops:Moufang Modifications}{8.2}{X819F82737C2A860D}
\makelabel{loops:Triality for Moufang Loops}{8.3}{X83E73A767D79FAFD}
\makelabel{loops:Realizing Groups as Multiplication Groups of Loops}{8.4}{X841ED66B8084AA73}
\makelabel{loops:Libraries of Loops}{9}{X7BF3EE6E7953560D}
\makelabel{loops:A Typical Library}{9.1}{X874DFEAA79B3377C}
\makelabel{loops:Left Bol Loops and Right Bol Loops}{9.2}{X7DF21BD685FBF258}
\makelabel{loops:Left Bruck Loops and Right Bruck Loops}{9.3}{X8028D69A86B15897}
\makelabel{loops:Moufang Loops}{9.4}{X7953702D84E60AF4}
\makelabel{loops:Code Loops}{9.5}{X7BCA6BCB847F79DC}
\makelabel{loops:Steiner Loops}{9.6}{X84E941EE7846D3EE}
\makelabel{loops:Conjugacy Closed Loops}{9.7}{X867E5F0783FEB8B5}
\makelabel{loops:RCCLoop and RightConjugacyClosedLoop}{9.7.1}{X806B2DE67990E42F}
\makelabel{loops:LCCLoop and LeftConjugacyClosedLoop}{9.7.2}{X80AB8B107D55FB19}
\makelabel{loops:CCLoop and ConjugacyClosedLoop}{9.7.3}{X798BC601843E8916}
\makelabel{loops:Small Loops}{9.8}{X7E3A8F2C790F2CA1}
\makelabel{loops:Paige Loops}{9.9}{X8135C8FD8714C606}
\makelabel{loops:Nilpotent Loops}{9.10}{X86695C577A4D1784}
\makelabel{loops:Automorphic Loops}{9.11}{X793B22EA8643C667}
\makelabel{loops:Interesting Loops}{9.12}{X843BD73F788049F7}
\makelabel{loops:Libraries of Loops Up To Isotopism}{9.13}{X864839227D5C0A90}
\makelabel{loops:Files}{A}{X7BC4571A79FFB7D0}
\makelabel{loops:Filters}{B}{X84EFA4C07D4277BB}
\makelabel{loops:Bibliography}{Bib}{X7A6F98FD85F02BFE}
\makelabel{loops:References}{Bib}{X7A6F98FD85F02BFE}
\makelabel{loops:Index}{Ind}{X83A0356F839C696F}
\makelabel{loops:License}{}{X81488B807F2A1CF1}
\makelabel{loops:groupoid}{2.1}{X80243DE5826583B8}
\makelabel{loops:magma}{2.1}{X80243DE5826583B8}
\makelabel{loops:neutral element}{2.1}{X80243DE5826583B8}
\makelabel{loops:identity element}{2.1}{X80243DE5826583B8}
\makelabel{loops:inverse two-sided}{2.1}{X80243DE5826583B8}
\makelabel{loops:group}{2.1}{X80243DE5826583B8}
\makelabel{loops:quasigroup}{2.1}{X80243DE5826583B8}
\makelabel{loops:latin square}{2.1}{X80243DE5826583B8}
\makelabel{loops:loop}{2.1}{X80243DE5826583B8}
\makelabel{loops:translation left}{2.2}{X7EC01B437CC2B2C9}
\makelabel{loops:translation right}{2.2}{X7EC01B437CC2B2C9}
\makelabel{loops:division left}{2.2}{X7EC01B437CC2B2C9}
\makelabel{loops:division right}{2.2}{X7EC01B437CC2B2C9}
\makelabel{loops:section left}{2.2}{X7EC01B437CC2B2C9}
\makelabel{loops:section right}{2.2}{X7EC01B437CC2B2C9}
\makelabel{loops:multiplication group left}{2.2}{X7EC01B437CC2B2C9}
\makelabel{loops:multiplication group right}{2.2}{X7EC01B437CC2B2C9}
\makelabel{loops:multiplication group}{2.2}{X7EC01B437CC2B2C9}
\makelabel{loops:inner mapping group left}{2.2}{X7EC01B437CC2B2C9}
\makelabel{loops:inner mapping group right}{2.2}{X7EC01B437CC2B2C9}
\makelabel{loops:inner mapping group}{2.2}{X7EC01B437CC2B2C9}
\makelabel{loops:subquasigroup}{2.3}{X83EDF04F7952143F}
\makelabel{loops:subloop}{2.3}{X83EDF04F7952143F}
\makelabel{loops:nucleus left}{2.3}{X83EDF04F7952143F}
\makelabel{loops:nucleus middle}{2.3}{X83EDF04F7952143F}
\makelabel{loops:nucleus right}{2.3}{X83EDF04F7952143F}
\makelabel{loops:nucleus}{2.3}{X83EDF04F7952143F}
\makelabel{loops:commutant}{2.3}{X83EDF04F7952143F}
\makelabel{loops:center}{2.3}{X83EDF04F7952143F}
\makelabel{loops:subloop normal}{2.3}{X83EDF04F7952143F}
\makelabel{loops:nilpotence class}{2.4}{X869CBCE381E2C422}
\makelabel{loops:nilpotent loop}{2.4}{X869CBCE381E2C422}
\makelabel{loops:loop nilpotent}{2.4}{X869CBCE381E2C422}
\makelabel{loops:central series upper}{2.4}{X869CBCE381E2C422}
\makelabel{loops:derived subloop}{2.4}{X869CBCE381E2C422}
\makelabel{loops:solvability class}{2.4}{X869CBCE381E2C422}
\makelabel{loops:solvable loop}{2.4}{X869CBCE381E2C422}
\makelabel{loops:loop solvable}{2.4}{X869CBCE381E2C422}
\makelabel{loops:derived series}{2.4}{X869CBCE381E2C422}
\makelabel{loops:commutator}{2.5}{X7E0849977869E53D}
\makelabel{loops:associator}{2.5}{X7E0849977869E53D}
\makelabel{loops:associator subloop}{2.5}{X7E0849977869E53D}
\makelabel{loops:homomorphism}{2.6}{X791066ED7DD9F254}
\makelabel{loops:isomorphism}{2.6}{X791066ED7DD9F254}
\makelabel{loops:homotopism}{2.6}{X791066ED7DD9F254}
\makelabel{loops:isotopism}{2.6}{X791066ED7DD9F254}
\makelabel{loops:isotopism principal}{2.6}{X791066ED7DD9F254}
\makelabel{loops:loop isotope principal}{2.6}{X791066ED7DD9F254}
\makelabel{loops:IsQuasigroupElement}{3.1}{X86F02BBD87FEA1C6}
\makelabel{loops:IsLoopElement}{3.1}{X86F02BBD87FEA1C6}
\makelabel{loops:IsQuasigroup}{3.1}{X86F02BBD87FEA1C6}
\makelabel{loops:IsLoop}{3.1}{X86F02BBD87FEA1C6}
\makelabel{loops:Bol loop left}{3.3}{X87E49ED884FA6DC4}
\makelabel{loops:loop left Bol}{3.3}{X87E49ED884FA6DC4}
\makelabel{loops:simple loop}{3.3}{X87E49ED884FA6DC4}
\makelabel{loops:loop simple}{3.3}{X87E49ED884FA6DC4}
\makelabel{loops:SetQuasigroupElmName}{3.4.1}{X7A7EB1B579273D07}
\makelabel{loops:SetLoopElmName}{3.4.1}{X7A7EB1B579273D07}
\makelabel{loops:Cayley table}{4.1}{X7DE8405B82BC36A9}
\makelabel{loops:multiplication table}{4.1}{X7DE8405B82BC36A9}
\makelabel{loops:quasigroup table}{4.1}{X7DE8405B82BC36A9}
\makelabel{loops:latin square}{4.1}{X7DE8405B82BC36A9}
\makelabel{loops:loop table}{4.1}{X7DE8405B82BC36A9}
\makelabel{loops:IsQuasigroupTable}{4.2.1}{X81179355869B9DFE}
\makelabel{loops:IsQuasigroupCayleyTable}{4.2.1}{X81179355869B9DFE}
\makelabel{loops:IsLoopTable}{4.2.2}{X7AAE48507A471069}
\makelabel{loops:IsLoopCayleyTable}{4.2.2}{X7AAE48507A471069}
\makelabel{loops:CanonicalCayleyTable}{4.3.1}{X7971CCB87DAFF7B9}
\makelabel{loops:Cayley table canonical}{4.3.1}{X7971CCB87DAFF7B9}
\makelabel{loops:CanonicalCopy}{4.3.2}{X7B816D887F46E6B7}
\makelabel{loops:NormalizedQuasigroupTable}{4.3.3}{X821A2F9E85FAD8BF}
\makelabel{loops:QuasigroupByCayleyTable}{4.4.1}{X860135BB85F2DB19}
\makelabel{loops:LoopByCayleyTable}{4.4.1}{X860135BB85F2DB19}
\makelabel{loops:QuasigroupFromFile}{4.5.1}{X81A1DB918057933E}
\makelabel{loops:LoopFromFile}{4.5.1}{X81A1DB918057933E}
\makelabel{loops:CayleyTableByPerms}{4.6.1}{X7F94C8DD7E1A3470}
\makelabel{loops:QuasigroupByLeftSection}{4.6.2}{X7EC1EB0D7B8382A1}
\makelabel{loops:LoopByLeftSection}{4.6.2}{X7EC1EB0D7B8382A1}
\makelabel{loops:QuasigroupByRightSection}{4.6.3}{X80B436ED7CC0749E}
\makelabel{loops:LoopByRightSection}{4.6.3}{X80B436ED7CC0749E}
\makelabel{loops:folder quasigroup}{4.7}{X85ABE99E84E5B0E8}
\makelabel{loops:QuasigroupByRightFolder}{4.7.1}{X83168E62861F70AB}
\makelabel{loops:LoopByRightFolder}{4.7.1}{X83168E62861F70AB}
\makelabel{loops:extension}{4.8}{X8759431780AC81A9}
\makelabel{loops:extension nuclear}{4.8}{X8759431780AC81A9}
\makelabel{loops:cocycle}{4.8}{X8759431780AC81A9}
\makelabel{loops:NuclearExtension}{4.8.1}{X784733C67AA6B2FA}
\makelabel{loops:LoopByExtension}{4.8.2}{X79AEE93E7E15B802}
\makelabel{loops:latin square random}{4.9}{X7AE29A1A7AA5C25A}
\makelabel{loops:RandomQuasigroup}{4.9.1}{X8271C0F5786B6FA9}
\makelabel{loops:RandomLoop}{4.9.1}{X8271C0F5786B6FA9}
\makelabel{loops:RandomNilpotentLoop}{4.9.2}{X817132C887D3FD3A}
\makelabel{loops:loop nilpotent}{4.9.2}{X817132C887D3FD3A}
\makelabel{loops:IntoQuasigroup}{4.10.1}{X84575A4B78CC545E}
\makelabel{loops:PrincipalLoopIsotope}{4.10.2}{X79CEA57C850C7070}
\makelabel{loops:IntoLoop}{4.10.3}{X7A59C36683118E5A}
\makelabel{loops:IntoGroup}{4.10.4}{X7B5C6C64831B866E}
\makelabel{loops:DirectProduct}{4.11.1}{X861BA02C7902A4F4}
\makelabel{loops:opposite quasigroup}{4.12}{X7865FC8D7854C2E3}
\makelabel{loops:quasigroup opposite}{4.12}{X7865FC8D7854C2E3}
\makelabel{loops:Opposite}{4.12.1}{X87B6AED47EE2BCD3}
\makelabel{loops:OppositeQuasigroup}{4.12.1}{X87B6AED47EE2BCD3}
\makelabel{loops:OppositeLoop}{4.12.1}{X87B6AED47EE2BCD3}
\makelabel{loops:Elements}{5.1.1}{X79B130FC7906FB4C}
\makelabel{loops:CayleyTable}{5.1.2}{X85457FA27DE7114D}
\makelabel{loops:One}{5.1.3}{X8129A6877FFD804B}
\makelabel{loops:Size}{5.1.4}{X858ADA3B7A684421}
\makelabel{loops:Exponent}{5.1.5}{X7D44470C7DA59C1C}
\makelabel{loops:loop power associative}{5.1.5}{X7D44470C7DA59C1C}
\makelabel{loops:power associative loop}{5.1.5}{X7D44470C7DA59C1C}
\makelabel{loops:exponent}{5.1.5}{X7D44470C7DA59C1C}
\makelabel{loops:LeftDivision}{5.2.1}{X7D5956967BCC1834}
\makelabel{loops:RightDivision}{5.2.1}{X7D5956967BCC1834}
\makelabel{loops:LeftDivision}{5.2.1}{X7D5956967BCC1834}
\makelabel{loops:LeftDivision}{5.2.1}{X7D5956967BCC1834}
\makelabel{loops:RightDivision}{5.2.1}{X7D5956967BCC1834}
\makelabel{loops:RightDivision}{5.2.1}{X7D5956967BCC1834}
\makelabel{loops:LeftDivisionCayleyTable}{5.2.2}{X804F67C8796A0EB3}
\makelabel{loops:RightDivisionCayleyTable}{5.2.2}{X804F67C8796A0EB3}
\makelabel{loops:inverse left}{5.3}{X810850247ADB4EE9}
\makelabel{loops:inverse right}{5.3}{X810850247ADB4EE9}
\makelabel{loops:inverse}{5.3}{X810850247ADB4EE9}
\makelabel{loops:LeftInverse}{5.3.1}{X805781838020CF44}
\makelabel{loops:RightInverse}{5.3.1}{X805781838020CF44}
\makelabel{loops:Inverse}{5.3.1}{X805781838020CF44}
\makelabel{loops:Associator}{5.4.1}{X82B7448879B91F7B}
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\makelabel{loops:AssociatedLeftBruckLoop}{8.1.1}{X8664CA927DD73DBE}
\makelabel{loops:AssociatedRightBruckLoop}{8.1.1}{X8664CA927DD73DBE}
\makelabel{loops:loop left Bol}{8.1.1}{X8664CA927DD73DBE}
\makelabel{loops:Bol loop left}{8.1.1}{X8664CA927DD73DBE}
\makelabel{loops:Bruck loop associated left}{8.1.1}{X8664CA927DD73DBE}
\makelabel{loops:loop associated left Bruck}{8.1.1}{X8664CA927DD73DBE}
\makelabel{loops:IsExactGroupFactorization}{8.1.2}{X82FC16F386CE11F1}
\makelabel{loops:exact group factorization}{8.1.2}{X82FC16F386CE11F1}
\makelabel{loops:RightBolLoopByExactGroupFactorization}{8.1.3}{X7DCA64807F899127}
\makelabel{loops:modification Moufang}{8.2}{X819F82737C2A860D}
\makelabel{loops:LoopByCyclicModification}{8.2.1}{X7B3165C083709831}
\makelabel{loops:modification cyclic}{8.2.1}{X7B3165C083709831}
\makelabel{loops:LoopByDihedralModification}{8.2.2}{X7D7717C587BC2D1E}
\makelabel{loops:modification dihedral}{8.2.2}{X7D7717C587BC2D1E}
\makelabel{loops:LoopMG2}{8.2.3}{X7CC6CDB786E9BBA0}
\makelabel{loops:Chein loop}{8.2.3}{X7CC6CDB786E9BBA0}
\makelabel{loops:loop Chein}{8.2.3}{X7CC6CDB786E9BBA0}
\makelabel{loops:group with triality}{8.3}{X83E73A767D79FAFD}
\makelabel{loops:TrialityPermGroup}{8.3.1}{X7DB4DE647F6F56F0}
\makelabel{loops:TrialityPcGroup}{8.3.2}{X82CC977085DFDFE8}
\makelabel{loops:AllLoopTablesInGroup}{8.4.1}{X804F40087DD1225D}
\makelabel{loops:AllProperLoopTablesInGroup}{8.4.2}{X7854C8E382DC8E8B}
\makelabel{loops:OneLoopTableInGroup}{8.4.3}{X7BFFC66A824BA6AA}
\makelabel{loops:OneProperLoopTableInGroup}{8.4.4}{X84C5A76585B335FF}
\makelabel{loops:AllLoopsWithMltGroup}{8.4.5}{X7E5F1C2879358EEF}
\makelabel{loops:OneLoopWithMltGroup}{8.4.6}{X8266DE05824226E6}
\makelabel{loops:LibraryLoop}{9.1.1}{X849865D6786EEF9B}
\makelabel{loops:MyLibraryLoop}{9.1.2}{X78C4B8757902D49F}
\makelabel{loops:DisplayLibraryInfo}{9.1.3}{X7A64372E81E713B4}
\makelabel{loops:LeftBolLoop}{9.2.1}{X7EE99F647C537994}
\makelabel{loops:RightBolLoop}{9.2.2}{X8774304282654C58}
\makelabel{loops:LeftBruckLoop}{9.3.1}{X8290B01780F0FCD3}
\makelabel{loops:RightBruckLoop}{9.3.2}{X798DD7CF871F648F}
\makelabel{loops:MoufangLoop}{9.4.1}{X81E82098822543EE}
\makelabel{loops:octonion loop}{9.4.1}{X81E82098822543EE}
\makelabel{loops:loop octonion}{9.4.1}{X81E82098822543EE}
\makelabel{loops:CodeLoop}{9.5.1}{X7DB4D3B27BB4D7EE}
\makelabel{loops:SteinerLoop}{9.6.1}{X87C235457E859AF4}
\makelabel{loops:RCCLoop}{9.7.1}{X806B2DE67990E42F}
\makelabel{loops:RightConjugacyClosedLoop}{9.7.1}{X806B2DE67990E42F}
\makelabel{loops:LCCLoop}{9.7.2}{X80AB8B107D55FB19}
\makelabel{loops:LeftConjugacyClosedLoop}{9.7.2}{X80AB8B107D55FB19}
\makelabel{loops:CCLoop}{9.7.3}{X798BC601843E8916}
\makelabel{loops:ConjugacyClosedLoop}{9.7.3}{X798BC601843E8916}
\makelabel{loops:SmallLoop}{9.8.1}{X7C6EE23E84CD87D3}
\makelabel{loops:Paige loop}{9.9}{X8135C8FD8714C606}
\makelabel{loops:loop Paige}{9.9}{X8135C8FD8714C606}
\makelabel{loops:PaigeLoop}{9.9.1}{X7FCF4D6B7AD66D74}
\makelabel{loops:NilpotentLoop}{9.10.1}{X7A9C960D86E2AD28}
\makelabel{loops:AutomorphicLoop}{9.11.1}{X784FFA9E7FDA9F43}
\makelabel{loops:sedenion loop}{9.12}{X843BD73F788049F7}
\makelabel{loops:loop sedenion}{9.12}{X843BD73F788049F7}
\makelabel{loops:InterestingLoop}{9.12.1}{X87F24AD3811910D3}
\makelabel{loops:ItpSmallLoop}{9.13.1}{X850C4C01817A098D}
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