#SIXFORMAT GapDocGAP HELPBOOKINFOSIXTMP := rec( encoding := "UTF-8", bookname := "loops", entries := [ [ "Title page", ".", [ 0, 0, 0 ], 1, 1, "title page", "X7D2C85EC87DD46E5" ], [ "Copyright", ".-1", [ 0, 0, 1 ], 30, 2, "copyright", "X81488B807F2A1CF1" ] , [ "Table of Contents", ".-2", [ 0, 0, 2 ], 35, 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;-2YLicense\033[133X\033[101X", "1.1", [ 1, 1, 0 ], 13, 6, "license", "X861E5DF986F89AE2" ], [ "\033[1X\033[33X\033[0;-2YInstallation\033[133X\033[101X", "1.2", [ 1, 2, 0 ], 20, 6, "installation", "X8360C04082558A12" ], [ "\033[1X\033[33X\033[0;-2YDocumentation\033[133X\033[101X", "1.3", [ 1, 3, 0 ], 43, 6, "documentation", "X7F4F8D6F7CD6B765" ], [ "\033[1X\033[33X\033[0;-2YTest Files\033[133X\033[101X", "1.4", [ 1, 4, 0 ], 61, 7, "test files", "X801051CC86594630" ], [ "\033[1X\033[33X\033[0;-2YMemory Management\033[133X\033[101X", "1.5", [ 1, 5, 0 ], 68, 7, "memory management", "X79342B4E7E55FD0F" ], [ "\033[1X\033[33X\033[0;-2YFeedback\033[133X\033[101X", "1.6", [ 1, 6, 0 ], 76, 7, "feedback", "X80D704CC7EBFDF7A" ], [ "\033[1X\033[33X\033[0;-2YAcknowledgment\033[133X\033[101X", "1.7", [ 1, 7, 0 ], 83, 7, "acknowledgment", "X811B08C07BD79486" ], [ "\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 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"\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 ], 179, 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 ], 188, 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 ], 204, 17, "quasigroupbyleftsection and loopbyleftsection", "X7EC1EB0D7B8382A1" ], [ "\033[1X\033[33X\033[0;-2YQuasigroupByRightSection and LoopByRightSection\ \033[133X\033[101X", "4.6-3", [ 4, 6, 3 ], 218, 17, "quasigroupbyrightsection and loopbyrightsection", "X80B436ED7CC0749E" ] , [ "\033[1X\033[33X\033[0;-2YCreating Quasigroups and Loops From 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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;-2YAdditonal Varieties of Loops\033[133X\033[101X", "7.8", [ 7, 8, 0 ], 451, 45, "additonal varieties of loops", "X846F363879BAB349" ], [ "\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" ], [ 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