\relax 
\providecommand\hyper@newdestlabel[2]{}
\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}
\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined
\global\let\oldcontentsline\contentsline
\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
\global\let\oldnewlabel\newlabel
\gdef\newlabel#1#2{\newlabelxx{#1}#2}
\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
\AtEndDocument{\ifx\hyper@anchor\@undefined
\let\contentsline\oldcontentsline
\let\newlabel\oldnewlabel
\fi}
\fi}
\global\let\hyper@last\relax 
\gdef\HyperFirstAtBeginDocument#1{#1}
\providecommand\HyField@AuxAddToFields[1]{}
\providecommand\HyField@AuxAddToCoFields[2]{}
\@writefile{toc}{\contentsline {chapter}{\numberline {1}\textcolor {Chapter }{Introduction to the \textsf  {GAP} Character Table Library}}{5}{chapter.1}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\newlabel{ch:introduction}{{1}{5}{\textcolor {Chapter }{Introduction to the \textsf {GAP} Character Table Library}}{chapter.1}{}}
\newlabel{application-files}{{1}{5}{\textcolor {Chapter }{Introduction to the \textsf {GAP} Character Table Library}}{chapter.1}{}}
\citation{ProbGenArxiv}
\citation{AtlasVerifyLargeArxiv}
\citation{BMverify}
\citation{GAP}
\@writefile{brf}{\backcite{ProbGenArxiv}{{6}{1}{chapter.1}}}
\@writefile{brf}{\backcite{AtlasVerifyLargeArxiv}{{6}{1}{chapter.1}}}
\@writefile{brf}{\backcite{BMverify}{{6}{1}{chapter.1}}}
\@writefile{brf}{\backcite{GAP}{{6}{1}{chapter.1}}}
\citation{NPP84}
\citation{CCN85}
\citation{CCN85}
\citation{HJLP92}
\citation{JLPW95}
\citation{NPP84}
\citation{LP91}
\citation{Browse}
\@writefile{toc}{\contentsline {section}{\numberline {1.1}\textcolor {Chapter }{History of the \textsf  {GAP} Character Table Library}}{7}{section.1.1}\protected@file@percent }
\newlabel{sec:history}{{1.1}{7}{\textcolor {Chapter }{History of the \textsf {GAP} Character Table Library}}{section.1.1}{}}
\@writefile{brf}{\backcite{NPP84}{{7}{1.1}{section.1.1}}}
\@writefile{brf}{\backcite{CCN85}{{7}{1.1}{section.1.1}}}
\@writefile{brf}{\backcite{CCN85}{{7}{1.1}{section.1.1}}}
\@writefile{brf}{\backcite{HJLP92}{{7}{1.1}{section.1.1}}}
\@writefile{brf}{\backcite{JLPW95}{{7}{1.1}{section.1.1}}}
\@writefile{brf}{\backcite{NPP84}{{7}{1.1}{section.1.1}}}
\@writefile{brf}{\backcite{LP91}{{7}{1.1}{section.1.1}}}
\@writefile{toc}{\contentsline {section}{\numberline {1.2}\textcolor {Chapter }{What's New in \textsf  {CTblLib}, Compared to Older Versions?}}{7}{section.1.2}\protected@file@percent }
\newlabel{sect:What's New in CTblLib?}{{1.2}{7}{\textcolor {Chapter }{What's New in \textsf {CTblLib}, Compared to Older Versions?}}{section.1.2}{}}
\@writefile{brf}{\backcite{Browse}{{7}{1.2}{section.1.2}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.2.1}\textcolor {Chapter }{What's New in Version 1.3.4? (April 2022)}}{7}{subsection.1.2.1}\protected@file@percent }
\newlabel{sec:new1.3.4}{{1.2.1}{7}{\textcolor {Chapter }{What's New in Version 1.3.4? (April 2022)}}{subsection.1.2.1}{}}
\citation{JLPW95}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.2.2}\textcolor {Chapter }{What's New in Version 1.3.3? (January 2022)}}{8}{subsection.1.2.2}\protected@file@percent }
\newlabel{sec:new1.3.3}{{1.2.2}{8}{\textcolor {Chapter }{What's New in Version 1.3.3? (January 2022)}}{subsection.1.2.2}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.2.3}\textcolor {Chapter }{What's New in Version 1.3.2? (March 2021)}}{8}{subsection.1.2.3}\protected@file@percent }
\newlabel{sec:new1.3.2}{{1.2.3}{8}{\textcolor {Chapter }{What's New in Version 1.3.2? (March 2021)}}{subsection.1.2.3}{}}
\@writefile{brf}{\backcite{JLPW95}{{8}{1.2.3}{subsection.1.2.3}}}
\citation{BMO17}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.2.4}\textcolor {Chapter }{What's New in Version 1.3.1? (April 2020)}}{9}{subsection.1.2.4}\protected@file@percent }
\newlabel{sec:new1.3.1}{{1.2.4}{9}{\textcolor {Chapter }{What's New in Version 1.3.1? (April 2020)}}{subsection.1.2.4}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.2.5}\textcolor {Chapter }{What's New in Version 1.3.0? (December 2019)}}{9}{subsection.1.2.5}\protected@file@percent }
\newlabel{sec:new1.3.0}{{1.2.5}{9}{\textcolor {Chapter }{What's New in Version 1.3.0? (December 2019)}}{subsection.1.2.5}{}}
\@writefile{brf}{\backcite{BMO17}{{9}{1.2.5}{subsection.1.2.5}}}
\citation{CCN85}
\citation{BMO17}
\@writefile{brf}{\backcite{CCN85}{{10}{1.2.5}{subsection.1.2.5}}}
\citation{GAPDoc}
\@writefile{brf}{\backcite{BMO17}{{11}{1.2.5}{subsection.1.2.5}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.2.6}\textcolor {Chapter }{What's New in Version 1.2.2? (March 2013)}}{11}{subsection.1.2.6}\protected@file@percent }
\newlabel{sec:new1.2.2}{{1.2.6}{11}{\textcolor {Chapter }{What's New in Version 1.2.2? (March 2013)}}{subsection.1.2.6}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.2.7}\textcolor {Chapter }{What's New in Version 1.2.0 and 1.2.1? (May 2012)}}{11}{subsection.1.2.7}\protected@file@percent }
\newlabel{sec:new1.2}{{1.2.7}{11}{\textcolor {Chapter }{What's New in Version 1.2.0 and 1.2.1? (May 2012)}}{subsection.1.2.7}{}}
\@writefile{brf}{\backcite{GAPDoc}{{11}{1.2.7}{subsection.1.2.7}}}
\citation{Browse}
\citation{Browse}
\citation{Browse}
\@writefile{brf}{\backcite{Browse}{{12}{1.2.7}{subsection.1.2.7}}}
\@writefile{brf}{\backcite{Browse}{{12}{1.2.7}{subsection.1.2.7}}}
\@writefile{brf}{\backcite{Browse}{{12}{1.2.7}{subsection.1.2.7}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.2.8}\textcolor {Chapter }{What's New in Version 1.1? (November 2003)}}{12}{subsection.1.2.8}\protected@file@percent }
\newlabel{sec:new1.1}{{1.2.8}{12}{\textcolor {Chapter }{What's New in Version 1.1? (November 2003)}}{subsection.1.2.8}{}}
\citation{AtlasRep}
\citation{Noe02}
\citation{Cla05}
\citation{Dan06}
\@writefile{brf}{\backcite{AtlasRep}{{13}{1.2.8}{subsection.1.2.8}}}
\@writefile{toc}{\contentsline {section}{\numberline {1.3}\textcolor {Chapter }{Acknowledgements}}{13}{section.1.3}\protected@file@percent }
\newlabel{sec:acknowledgements}{{1.3}{13}{\textcolor {Chapter }{Acknowledgements}}{section.1.3}{}}
\@writefile{brf}{\backcite{Noe02}{{13}{1.3}{section.1.3}}}
\@writefile{brf}{\backcite{Cla05}{{13}{1.3}{section.1.3}}}
\citation{GAPDoc}
\@writefile{brf}{\backcite{Dan06}{{14}{1.3}{section.1.3}}}
\@writefile{brf}{\backcite{GAPDoc}{{14}{1.3}{section.1.3}}}
\citation{CCN85}
\@writefile{toc}{\contentsline {chapter}{\numberline {2}\textcolor {Chapter }{Tutorial for the \textsf  {GAP} Character Table Library}}{15}{chapter.2}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\newlabel{ch:tutorial}{{2}{15}{\textcolor {Chapter }{Tutorial for the \textsf {GAP} Character Table Library}}{chapter.2}{}}
\@writefile{toc}{\contentsline {section}{\numberline {2.1}\textcolor {Chapter }{Concepts used in the \textsf  {GAP} Character Table Library}}{15}{section.2.1}\protected@file@percent }
\newlabel{sect:concepts}{{2.1}{15}{\textcolor {Chapter }{Concepts used in the \textsf {GAP} Character Table Library}}{section.2.1}{}}
\@writefile{brf}{\backcite{CCN85}{{15}{2.1}{section.2.1}}}
\citation{CCN85}
\@writefile{toc}{\contentsline {section}{\numberline {2.2}\textcolor {Chapter }{Accessing a Character Table from the Library}}{16}{section.2.2}\protected@file@percent }
\newlabel{sect:accesstbl}{{2.2}{16}{\textcolor {Chapter }{Accessing a Character Table from the Library}}{section.2.2}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.1}\textcolor {Chapter }{Accessing a Character Table via a name}}{16}{subsection.2.2.1}\protected@file@percent }
\newlabel{subsect:accesstblbyname}{{2.2.1}{16}{\textcolor {Chapter }{Accessing a Character Table via a name}}{subsection.2.2.1}{}}
\@writefile{brf}{\backcite{CCN85}{{16}{2.2.1}{subsection.2.2.1}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.2}\textcolor {Chapter }{Accessing a Character Table via properties}}{16}{subsection.2.2.2}\protected@file@percent }
\newlabel{subsect:accesstblbyproperties}{{2.2.2}{16}{\textcolor {Chapter }{Accessing a Character Table via properties}}{subsection.2.2.2}{}}
\citation{TomLib}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.3}\textcolor {Chapter }{Accessing a Character Table via a Table of Marks}}{17}{subsection.2.2.3}\protected@file@percent }
\newlabel{subsect:accesstblbytom}{{2.2.3}{17}{\textcolor {Chapter }{Accessing a Character Table via a Table of Marks}}{subsection.2.2.3}{}}
\@writefile{brf}{\backcite{TomLib}{{17}{2.2.3}{subsection.2.2.3}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.4}\textcolor {Chapter }{Accessing a Character Table relative to another Character Table }}{17}{subsection.2.2.4}\protected@file@percent }
\newlabel{subsect:accesstblbytbl}{{2.2.4}{17}{\textcolor {Chapter }{Accessing a Character Table relative to another Character Table }}{subsection.2.2.4}{}}
\citation{CCN85}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.5}\textcolor {Chapter }{Different character tables for the same group}}{18}{subsection.2.2.5}\protected@file@percent }
\newlabel{subsect:severaltables}{{2.2.5}{18}{\textcolor {Chapter }{Different character tables for the same group}}{subsection.2.2.5}{}}
\@writefile{brf}{\backcite{CCN85}{{18}{2.2.5}{subsection.2.2.5}}}
\@writefile{toc}{\contentsline {section}{\numberline {2.3}\textcolor {Chapter }{Examples of Using the \textsf  {GAP} Character Table Library}}{19}{section.2.3}\protected@file@percent }
\newlabel{sect:tutsectctbllib}{{2.3}{19}{\textcolor {Chapter }{Examples of Using the \textsf {GAP} Character Table Library}}{section.2.3}{}}
\citation{GMN}
\citation{AmbigFus}
\citation{ctblpope}
\citation{ProbGenArxiv}
\citation{Auto}
\@writefile{brf}{\backcite{GMN}{{20}{2.3}{section.2.3}}}
\@writefile{brf}{\backcite{AmbigFus}{{20}{2.3}{section.2.3}}}
\@writefile{brf}{\backcite{ctblpope}{{20}{2.3}{section.2.3}}}
\@writefile{brf}{\backcite{ProbGenArxiv}{{20}{2.3}{section.2.3}}}
\@writefile{brf}{\backcite{Auto}{{20}{2.3}{section.2.3}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.3.1}\textcolor {Chapter }{Example: Ambivalent Simple Groups}}{20}{subsection.2.3.1}\protected@file@percent }
\newlabel{subsect:ambivalent}{{2.3.1}{20}{\textcolor {Chapter }{Example: Ambivalent Simple Groups}}{subsection.2.3.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.3.2}\textcolor {Chapter }{Example: Simple $p$-pure Groups}}{20}{subsection.2.3.2}\protected@file@percent }
\newlabel{subsect:ppure}{{2.3.2}{20}{\textcolor {Chapter }{Example: Simple $p$-pure Groups}}{subsection.2.3.2}{}}
\citation{CCN85}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.3.3}\textcolor {Chapter }{Example: Simple Groups with only one $p$-Block}}{21}{subsection.2.3.3}\protected@file@percent }
\newlabel{subsect:onepblock}{{2.3.3}{21}{\textcolor {Chapter }{Example: Simple Groups with only one $p$-Block}}{subsection.2.3.3}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.3.4}\textcolor {Chapter }{Example:The Sylow $3$ subgroup of $3.O'N$}}{22}{subsection.2.3.4}\protected@file@percent }
\newlabel{subsect:sylowstructure3on}{{2.3.4}{22}{\textcolor {Chapter }{Example:The Sylow $3$ subgroup of $3.O'N$}}{subsection.2.3.4}{}}
\@writefile{brf}{\backcite{CCN85}{{22}{2.3.4}{subsection.2.3.4}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.3.5}\textcolor {Chapter }{Example: Primitive Permutation Characters of $2.A_6$}}{22}{subsection.2.3.5}\protected@file@percent }
\newlabel{subsect:primpermchars2A6}{{2.3.5}{22}{\textcolor {Chapter }{Example: Primitive Permutation Characters of $2.A_6$}}{subsection.2.3.5}{}}
\citation{CCN85}
\@writefile{brf}{\backcite{CCN85}{{23}{2.3.5}{subsection.2.3.5}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.3.6}\textcolor {Chapter }{Example: A Permutation Character of $Fi_{23}$}}{23}{subsection.2.3.6}\protected@file@percent }
\newlabel{subsect:permcharfi23}{{2.3.6}{23}{\textcolor {Chapter }{Example: A Permutation Character of $Fi_{23}$}}{subsection.2.3.6}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.3.7}\textcolor {Chapter }{Example: Non-commutators in the commutator group}}{24}{subsection.2.3.7}\protected@file@percent }
\newlabel{subsect:commutatorlength}{{2.3.7}{24}{\textcolor {Chapter }{Example: Non-commutators in the commutator group}}{subsection.2.3.7}{}}
\citation{LOST2010}
\@writefile{brf}{\backcite{LOST2010}{{25}{2.3.7}{subsection.2.3.7}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.3.8}\textcolor {Chapter }{Example: An irreducible $11$-modular character of $J_4$ (December 2018)}}{25}{subsection.2.3.8}\protected@file@percent }
\newlabel{subsect:J4mod11deg887778}{{2.3.8}{25}{\textcolor {Chapter }{Example: An irreducible $11$-modular character of $J_4$ (December 2018)}}{subsection.2.3.8}{}}
\citation{Nav98}
\citation{LP10}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.3.9}\textcolor {Chapter }{Example: Tensor Products that are Generalized Projectives (October 2019)}}{27}{subsection.2.3.9}\protected@file@percent }
\newlabel{subsect:nonprojtensor}{{2.3.9}{27}{\textcolor {Chapter }{Example: Tensor Products that are Generalized Projectives (October 2019)}}{subsection.2.3.9}{}}
\@writefile{brf}{\backcite{Nav98}{{27}{2.3.9}{subsection.2.3.9}}}
\@writefile{brf}{\backcite{LP10}{{27}{2.3.9}{subsection.2.3.9}}}
\citation{GR20}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.3.10}\textcolor {Chapter }{Example: Certain elementary abelian subgroups in quasisimple groups (November 2020)}}{29}{subsection.2.3.10}\protected@file@percent }
\newlabel{subsect:elabsubgroup}{{2.3.10}{29}{\textcolor {Chapter }{Example: Certain elementary abelian subgroups in quasisimple groups (November 2020)}}{subsection.2.3.10}{}}
\@writefile{brf}{\backcite{GR20}{{29}{2.3.10}{subsection.2.3.10}}}
\citation{CCN85}
\@writefile{brf}{\backcite{CCN85}{{31}{2.3.10}{Item.3}}}
\citation{CCN85}
\@writefile{brf}{\backcite{CCN85}{{32}{2.3.10}{Item.3}}}
\citation{CCN85}
\@writefile{brf}{\backcite{CCN85}{{34}{2.3.10}{Item.3}}}
\citation{CCN85}
\@writefile{brf}{\backcite{CCN85}{{36}{2.3.10}{Item.3}}}
\citation{CCN85}
\@writefile{brf}{\backcite{CCN85}{{37}{2.3.10}{Item.3}}}
\@writefile{toc}{\contentsline {chapter}{\numberline {3}\textcolor {Chapter }{The User Interface to the \textsf  {GAP} Character Table Library}}{39}{chapter.3}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\newlabel{ch:interfac}{{3}{39}{\textcolor {Chapter }{The User Interface to the \textsf {GAP} Character Table Library}}{chapter.3}{}}
\@writefile{toc}{\contentsline {section}{\numberline {3.1}\textcolor {Chapter }{Accessing Data of the \textsf  {CTblLib} Package}}{39}{section.3.1}\protected@file@percent }
\newlabel{sect:accessdata}{{3.1}{39}{\textcolor {Chapter }{Accessing Data of the \textsf {CTblLib} Package}}{section.3.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.1.1}\textcolor {Chapter }{Admissible Names for Character Tables in \textsf  {CTblLib} }}{39}{subsection.3.1.1}\protected@file@percent }
\newlabel{subsect:admissiblenames}{{3.1.1}{39}{\textcolor {Chapter }{Admissible Names for Character Tables in \textsf {CTblLib} }}{subsection.3.1.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.1.2}\textcolor {Chapter }{CharacterTable (for a string)}}{40}{subsection.3.1.2}\protected@file@percent }
\newlabel{CharacterTable:for a string}{{3.1.2}{40}{\textcolor {Chapter }{CharacterTable (for a string)}}{subsection.3.1.2}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.1.3}\textcolor {Chapter }{BrauerTable (for a string, and a prime integer)}}{40}{subsection.3.1.3}\protected@file@percent }
\newlabel{BrauerTable:for a string, and a prime integer}{{3.1.3}{40}{\textcolor {Chapter }{BrauerTable (for a string, and a prime integer)}}{subsection.3.1.3}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.1.4}\textcolor {Chapter }{AllCharacterTableNames}}{41}{subsection.3.1.4}\protected@file@percent }
\newlabel{AllCharacterTableNames}{{3.1.4}{41}{\textcolor {Chapter }{AllCharacterTableNames}}{subsection.3.1.4}{}}
\citation{Browse}
\@writefile{brf}{\backcite{Browse}{{42}{3.1.4}{subsection.3.1.4}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.1.5}\textcolor {Chapter }{OneCharacterTableName}}{43}{subsection.3.1.5}\protected@file@percent }
\newlabel{OneCharacterTableName}{{3.1.5}{43}{\textcolor {Chapter }{OneCharacterTableName}}{subsection.3.1.5}{}}
\citation{TomLib}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.1.6}\textcolor {Chapter }{NameOfEquivalentLibraryCharacterTable}}{44}{subsection.3.1.6}\protected@file@percent }
\newlabel{NameOfEquivalentLibraryCharacterTable}{{3.1.6}{44}{\textcolor {Chapter }{NameOfEquivalentLibraryCharacterTable}}{subsection.3.1.6}{}}
\newlabel{NamesOfEquivalentLibraryCharacterTables}{{3.1.6}{44}{\textcolor {Chapter }{NameOfEquivalentLibraryCharacterTable}}{subsection.3.1.6}{}}
\@writefile{toc}{\contentsline {section}{\numberline {3.2}\textcolor {Chapter }{The Interface to the \textsf  {TomLib} Package}}{44}{section.3.2}\protected@file@percent }
\newlabel{sect:tbltom}{{3.2}{44}{\textcolor {Chapter }{The Interface to the \textsf {TomLib} Package}}{section.3.2}{}}
\@writefile{brf}{\backcite{TomLib}{{44}{3.2}{section.3.2}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.2.1}\textcolor {Chapter }{TableOfMarks (for a character table from the library)}}{44}{subsection.3.2.1}\protected@file@percent }
\newlabel{TableOfMarks:for a character table from the library}{{3.2.1}{44}{\textcolor {Chapter }{TableOfMarks (for a character table from the library)}}{subsection.3.2.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.2.2}\textcolor {Chapter }{CharacterTable (for a table of marks)}}{45}{subsection.3.2.2}\protected@file@percent }
\newlabel{CharacterTable:for a table of marks}{{3.2.2}{45}{\textcolor {Chapter }{CharacterTable (for a table of marks)}}{subsection.3.2.2}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.2.3}\textcolor {Chapter }{FusionCharTableTom}}{45}{subsection.3.2.3}\protected@file@percent }
\newlabel{FusionCharTableTom}{{3.2.3}{45}{\textcolor {Chapter }{FusionCharTableTom}}{subsection.3.2.3}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.2.4}\textcolor {Chapter }{FusionToTom}}{45}{subsection.3.2.4}\protected@file@percent }
\newlabel{FusionToTom}{{3.2.4}{45}{\textcolor {Chapter }{FusionToTom}}{subsection.3.2.4}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.2.5}\textcolor {Chapter }{NameOfLibraryCharacterTable}}{46}{subsection.3.2.5}\protected@file@percent }
\newlabel{NameOfLibraryCharacterTable}{{3.2.5}{46}{\textcolor {Chapter }{NameOfLibraryCharacterTable}}{subsection.3.2.5}{}}
\@writefile{toc}{\contentsline {section}{\numberline {3.3}\textcolor {Chapter }{The Interface to \textsf  {GAP}'s Group Libraries}}{46}{section.3.3}\protected@file@percent }
\newlabel{sect:tblgrp}{{3.3}{46}{\textcolor {Chapter }{The Interface to \textsf {GAP}'s Group Libraries}}{section.3.3}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.3.1}\textcolor {Chapter }{GroupInfoForCharacterTable}}{46}{subsection.3.3.1}\protected@file@percent }
\newlabel{GroupInfoForCharacterTable}{{3.3.1}{46}{\textcolor {Chapter }{GroupInfoForCharacterTable}}{subsection.3.3.1}{}}
\citation{Browse}
\@writefile{brf}{\backcite{Browse}{{47}{3.3.1}{subsection.3.3.1}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.3.2}\textcolor {Chapter }{KnowsSomeGroupInfo}}{47}{subsection.3.3.2}\protected@file@percent }
\newlabel{KnowsSomeGroupInfo}{{3.3.2}{47}{\textcolor {Chapter }{KnowsSomeGroupInfo}}{subsection.3.3.2}{}}
\citation{TomLib}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.3.3}\textcolor {Chapter }{CharacterTableForGroupInfo}}{48}{subsection.3.3.3}\protected@file@percent }
\newlabel{CharacterTableForGroupInfo}{{3.3.3}{48}{\textcolor {Chapter }{CharacterTableForGroupInfo}}{subsection.3.3.3}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.3.4}\textcolor {Chapter }{GroupForGroupInfo}}{48}{subsection.3.3.4}\protected@file@percent }
\newlabel{GroupForGroupInfo}{{3.3.4}{48}{\textcolor {Chapter }{GroupForGroupInfo}}{subsection.3.3.4}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.3.5}\textcolor {Chapter }{GroupForTom}}{48}{subsection.3.3.5}\protected@file@percent }
\newlabel{GroupForTom}{{3.3.5}{48}{\textcolor {Chapter }{GroupForTom}}{subsection.3.3.5}{}}
\@writefile{brf}{\backcite{TomLib}{{48}{3.3.5}{subsection.3.3.5}}}
\citation{Cla05}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.3.6}\textcolor {Chapter }{AtlasStabilizer}}{49}{subsection.3.3.6}\protected@file@percent }
\newlabel{AtlasStabilizer}{{3.3.6}{49}{\textcolor {Chapter }{AtlasStabilizer}}{subsection.3.3.6}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.3.7}\textcolor {Chapter }{IsNontrivialDirectProduct}}{49}{subsection.3.3.7}\protected@file@percent }
\newlabel{IsNontrivialDirectProduct}{{3.3.7}{49}{\textcolor {Chapter }{IsNontrivialDirectProduct}}{subsection.3.3.7}{}}
\@writefile{toc}{\contentsline {section}{\numberline {3.4}\textcolor {Chapter }{Unipotent Characters of Finite Groups of Lie Type}}{49}{section.3.4}\protected@file@percent }
\newlabel{sec:unipotsec}{{3.4}{49}{\textcolor {Chapter }{Unipotent Characters of Finite Groups of Lie Type}}{section.3.4}{}}
\@writefile{brf}{\backcite{Cla05}{{50}{3.4}{section.3.4}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.4.1}\textcolor {Chapter }{UnipotentCharacter}}{50}{subsection.3.4.1}\protected@file@percent }
\newlabel{UnipotentCharacter}{{3.4.1}{50}{\textcolor {Chapter }{UnipotentCharacter}}{subsection.3.4.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.4.2}\textcolor {Chapter }{DeligneLusztigNames}}{50}{subsection.3.4.2}\protected@file@percent }
\newlabel{DeligneLusztigNames}{{3.4.2}{50}{\textcolor {Chapter }{DeligneLusztigNames}}{subsection.3.4.2}{}}
\citation{Browse}
\citation{CCN85}
\citation{JLPW95}
\citation{CCN85}
\citation{JLPW95}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.4.3}\textcolor {Chapter }{DeligneLusztigName}}{51}{subsection.3.4.3}\protected@file@percent }
\newlabel{DeligneLusztigName}{{3.4.3}{51}{\textcolor {Chapter }{DeligneLusztigName}}{subsection.3.4.3}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.4.4}\textcolor {Chapter }{KnowsDeligneLusztigNames}}{51}{subsection.3.4.4}\protected@file@percent }
\newlabel{KnowsDeligneLusztigNames}{{3.4.4}{51}{\textcolor {Chapter }{KnowsDeligneLusztigNames}}{subsection.3.4.4}{}}
\@writefile{toc}{\contentsline {section}{\numberline {3.5}\textcolor {Chapter }{\textsf  {Browse} Applications Provided by \textsf  {CTblLib}}}{51}{section.3.5}\protected@file@percent }
\newlabel{sect:ctbllib-browse}{{3.5}{51}{\textcolor {Chapter }{\textsf {Browse} Applications Provided by \textsf {CTblLib}}}{section.3.5}{}}
\@writefile{brf}{\backcite{Browse}{{51}{3.5}{section.3.5}}}
\@writefile{brf}{\backcite{CCN85}{{51}{3.5}{section.3.5}}}
\@writefile{brf}{\backcite{JLPW95}{{51}{3.5}{section.3.5}}}
\@writefile{brf}{\backcite{CCN85}{{51}{3.5}{section.3.5}}}
\@writefile{brf}{\backcite{JLPW95}{{51}{3.5}{section.3.5}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.5.1}\textcolor {Chapter }{DisplayCTblLibInfo (for a character table)}}{52}{subsection.3.5.1}\protected@file@percent }
\newlabel{DisplayCTblLibInfo:for a character table}{{3.5.1}{52}{\textcolor {Chapter }{DisplayCTblLibInfo (for a character table)}}{subsection.3.5.1}{}}
\newlabel{DisplayCTblLibInfo:for a name}{{3.5.1}{52}{\textcolor {Chapter }{DisplayCTblLibInfo (for a character table)}}{subsection.3.5.1}{}}
\newlabel{StringCTblLibInfo:for a character table}{{3.5.1}{52}{\textcolor {Chapter }{DisplayCTblLibInfo (for a character table)}}{subsection.3.5.1}{}}
\newlabel{StringCTblLibInfo:for a name}{{3.5.1}{52}{\textcolor {Chapter }{DisplayCTblLibInfo (for a character table)}}{subsection.3.5.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.5.2}\textcolor {Chapter }{BrowseCTblLibInfo}}{52}{subsection.3.5.2}\protected@file@percent }
\newlabel{BrowseCTblLibInfo}{{3.5.2}{52}{\textcolor {Chapter }{BrowseCTblLibInfo}}{subsection.3.5.2}{}}
\newlabel{BrowseCTblLibInfo:for a character table}{{3.5.2}{52}{\textcolor {Chapter }{BrowseCTblLibInfo}}{subsection.3.5.2}{}}
\newlabel{BrowseCTblLibInfo:for a name}{{3.5.2}{52}{\textcolor {Chapter }{BrowseCTblLibInfo}}{subsection.3.5.2}{}}
\citation{CCN85}
\citation{JLPW95}
\citation{JLPW95}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.5.3}\textcolor {Chapter }{BrowseCommonIrrationalities}}{54}{subsection.3.5.3}\protected@file@percent }
\newlabel{BrowseCommonIrrationalities}{{3.5.3}{54}{\textcolor {Chapter }{BrowseCommonIrrationalities}}{subsection.3.5.3}{}}
\@writefile{brf}{\backcite{CCN85}{{54}{3.5.3}{subsection.3.5.3}}}
\@writefile{brf}{\backcite{JLPW95}{{54}{3.5.3}{subsection.3.5.3}}}
\@writefile{brf}{\backcite{JLPW95}{{54}{3.5.3}{subsection.3.5.3}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.5.4}\textcolor {Chapter }{BrowseCTblLibDifferences}}{55}{subsection.3.5.4}\protected@file@percent }
\newlabel{BrowseCTblLibDifferences}{{3.5.4}{55}{\textcolor {Chapter }{BrowseCTblLibDifferences}}{subsection.3.5.4}{}}
\citation{CCN85}
\citation{JLPW95}
\citation{JLPW95}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.5.5}\textcolor {Chapter }{BrowseAtlasContents}}{56}{subsection.3.5.5}\protected@file@percent }
\newlabel{BrowseAtlasContents}{{3.5.5}{56}{\textcolor {Chapter }{BrowseAtlasContents}}{subsection.3.5.5}{}}
\@writefile{brf}{\backcite{CCN85}{{56}{3.5.5}{subsection.3.5.5}}}
\@writefile{brf}{\backcite{JLPW95}{{56}{3.5.5}{subsection.3.5.5}}}
\@writefile{brf}{\backcite{JLPW95}{{56}{3.5.5}{subsection.3.5.5}}}
\citation{CCN85}
\citation{JLPW95}
\citation{JLPW95}
\citation{CCN85}
\citation{CCN85}
\citation{JLPW95}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.5.6}\textcolor {Chapter }{DisplayAtlasContents}}{57}{subsection.3.5.6}\protected@file@percent }
\newlabel{DisplayAtlasContents}{{3.5.6}{57}{\textcolor {Chapter }{DisplayAtlasContents}}{subsection.3.5.6}{}}
\newlabel{StringAtlasContents}{{3.5.6}{57}{\textcolor {Chapter }{DisplayAtlasContents}}{subsection.3.5.6}{}}
\@writefile{brf}{\backcite{CCN85}{{57}{3.5.6}{subsection.3.5.6}}}
\@writefile{brf}{\backcite{JLPW95}{{57}{3.5.6}{subsection.3.5.6}}}
\@writefile{brf}{\backcite{JLPW95}{{57}{3.5.6}{subsection.3.5.6}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.5.7}\textcolor {Chapter }{BrowseAtlasMap}}{57}{subsection.3.5.7}\protected@file@percent }
\newlabel{BrowseAtlasMap}{{3.5.7}{57}{\textcolor {Chapter }{BrowseAtlasMap}}{subsection.3.5.7}{}}
\@writefile{brf}{\backcite{CCN85}{{57}{3.5.7}{subsection.3.5.7}}}
\@writefile{brf}{\backcite{CCN85}{{57}{3.5.7}{subsection.3.5.7}}}
\@writefile{brf}{\backcite{JLPW95}{{57}{3.5.7}{subsection.3.5.7}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.5.8}\textcolor {Chapter }{DisplayAtlasMap (for the name of a simple group)}}{58}{subsection.3.5.8}\protected@file@percent }
\newlabel{DisplayAtlasMap:for the name of a simple group}{{3.5.8}{58}{\textcolor {Chapter }{DisplayAtlasMap (for the name of a simple group)}}{subsection.3.5.8}{}}
\newlabel{DisplayAtlasMap:for a record}{{3.5.8}{58}{\textcolor {Chapter }{DisplayAtlasMap (for the name of a simple group)}}{subsection.3.5.8}{}}
\newlabel{StringsAtlasMap:for the name of a simple group}{{3.5.8}{58}{\textcolor {Chapter }{DisplayAtlasMap (for the name of a simple group)}}{subsection.3.5.8}{}}
\newlabel{StringsAtlasMap:for a record}{{3.5.8}{58}{\textcolor {Chapter }{DisplayAtlasMap (for the name of a simple group)}}{subsection.3.5.8}{}}
\citation{CCN85}
\citation{JLPW95}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.5.9}\textcolor {Chapter }{BrowseAtlasTable}}{61}{subsection.3.5.9}\protected@file@percent }
\newlabel{BrowseAtlasTable}{{3.5.9}{61}{\textcolor {Chapter }{BrowseAtlasTable}}{subsection.3.5.9}{}}
\@writefile{brf}{\backcite{CCN85}{{61}{3.5.9}{subsection.3.5.9}}}
\@writefile{brf}{\backcite{JLPW95}{{61}{3.5.9}{subsection.3.5.9}}}
\citation{CCN85}
\citation{BN95}
\citation{AtlasImpII}
\citation{JLPW95}
\citation{ABCImp}
\citation{BN95}
\citation{AtlasImpII}
\citation{ABCImp}
\citation{BMO17}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.5.10}\textcolor {Chapter }{BrowseAtlasImprovements}}{62}{subsection.3.5.10}\protected@file@percent }
\newlabel{BrowseAtlasImprovements}{{3.5.10}{62}{\textcolor {Chapter }{BrowseAtlasImprovements}}{subsection.3.5.10}{}}
\@writefile{brf}{\backcite{CCN85}{{62}{3.5.10}{subsection.3.5.10}}}
\@writefile{brf}{\backcite{BN95}{{62}{3.5.10}{subsection.3.5.10}}}
\@writefile{brf}{\backcite{AtlasImpII}{{62}{3.5.10}{subsection.3.5.10}}}
\@writefile{brf}{\backcite{JLPW95}{{62}{3.5.10}{subsection.3.5.10}}}
\@writefile{brf}{\backcite{ABCImp}{{62}{3.5.10}{subsection.3.5.10}}}
\@writefile{brf}{\backcite{BN95}{{62}{3.5.10}{subsection.3.5.10}}}
\@writefile{brf}{\backcite{AtlasImpII}{{62}{3.5.10}{subsection.3.5.10}}}
\@writefile{brf}{\backcite{ABCImp}{{62}{3.5.10}{subsection.3.5.10}}}
\@writefile{brf}{\backcite{BMO17}{{62}{3.5.10}{subsection.3.5.10}}}
\@writefile{toc}{\contentsline {section}{\numberline {3.6}\textcolor {Chapter }{Duplicates of Library Character Tables}}{63}{section.3.6}\protected@file@percent }
\newlabel{sec:duplicates}{{3.6}{63}{\textcolor {Chapter }{Duplicates of Library Character Tables}}{section.3.6}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.6.1}\textcolor {Chapter }{IsDuplicateTable}}{64}{subsection.3.6.1}\protected@file@percent }
\newlabel{IsDuplicateTable}{{3.6.1}{64}{\textcolor {Chapter }{IsDuplicateTable}}{subsection.3.6.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.6.2}\textcolor {Chapter }{IdentifierOfMainTable}}{64}{subsection.3.6.2}\protected@file@percent }
\newlabel{IdentifierOfMainTable}{{3.6.2}{64}{\textcolor {Chapter }{IdentifierOfMainTable}}{subsection.3.6.2}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.6.3}\textcolor {Chapter }{IdentifiersOfDuplicateTables}}{64}{subsection.3.6.3}\protected@file@percent }
\newlabel{IdentifiersOfDuplicateTables}{{3.6.3}{64}{\textcolor {Chapter }{IdentifiersOfDuplicateTables}}{subsection.3.6.3}{}}
\@writefile{toc}{\contentsline {section}{\numberline {3.7}\textcolor {Chapter }{Attributes for Library Character Tables}}{65}{section.3.7}\protected@file@percent }
\newlabel{sec:attributes}{{3.7}{65}{\textcolor {Chapter }{Attributes for Library Character Tables}}{section.3.7}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.7.1}\textcolor {Chapter }{Maxes}}{65}{subsection.3.7.1}\protected@file@percent }
\newlabel{Maxes}{{3.7.1}{65}{\textcolor {Chapter }{Maxes}}{subsection.3.7.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.7.2}\textcolor {Chapter }{ProjectivesInfo}}{65}{subsection.3.7.2}\protected@file@percent }
\newlabel{ProjectivesInfo}{{3.7.2}{65}{\textcolor {Chapter }{ProjectivesInfo}}{subsection.3.7.2}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.7.3}\textcolor {Chapter }{ExtensionInfoCharacterTable}}{66}{subsection.3.7.3}\protected@file@percent }
\newlabel{ExtensionInfoCharacterTable}{{3.7.3}{66}{\textcolor {Chapter }{ExtensionInfoCharacterTable}}{subsection.3.7.3}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.7.4}\textcolor {Chapter }{ConstructionInfoCharacterTable}}{66}{subsection.3.7.4}\protected@file@percent }
\newlabel{ConstructionInfoCharacterTable}{{3.7.4}{66}{\textcolor {Chapter }{ConstructionInfoCharacterTable}}{subsection.3.7.4}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.7.5}\textcolor {Chapter }{InfoText}}{66}{subsection.3.7.5}\protected@file@percent }
\newlabel{InfoText}{{3.7.5}{66}{\textcolor {Chapter }{InfoText}}{subsection.3.7.5}{}}
\@writefile{toc}{\contentsline {chapter}{\numberline {4}\textcolor {Chapter }{Contents of the \textsf  {GAP} Character Table Library}}{67}{chapter.4}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\newlabel{ch:ctbllibr}{{4}{67}{\textcolor {Chapter }{Contents of the \textsf {GAP} Character Table Library}}{chapter.4}{}}
\@writefile{toc}{\contentsline {section}{\numberline {4.1}\textcolor {Chapter }{Ordinary and Brauer Tables in the \textsf  {GAP} Character Table Library }}{67}{section.4.1}\protected@file@percent }
\newlabel{sec:contents}{{4.1}{67}{\textcolor {Chapter }{Ordinary and Brauer Tables in the \textsf {GAP} Character Table Library }}{section.4.1}{}}
\citation{NPP84}
\citation{Ost86}
\citation{Han88}
\citation{HP89}
\citation{Ost86}
\citation{Ost86}
\citation{HP89}
\citation{Ost86}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.1.1}\textcolor {Chapter }{Ordinary Character Tables}}{68}{subsection.4.1.1}\protected@file@percent }
\newlabel{subsec:contents-ordinary}{{4.1.1}{68}{\textcolor {Chapter }{Ordinary Character Tables}}{subsection.4.1.1}{}}
\@writefile{brf}{\backcite{NPP84}{{68}{4.1.1}{subsection.4.1.1}}}
\@writefile{brf}{\backcite{Ost86}{{68}{4.1.1}{subsection.4.1.1}}}
\@writefile{brf}{\backcite{Han88}{{68}{4.1.1}{subsection.4.1.1}}}
\@writefile{brf}{\backcite{HP89}{{68}{4.1.1}{subsection.4.1.1}}}
\@writefile{brf}{\backcite{Ost86}{{68}{4.1.1}{subsection.4.1.1}}}
\@writefile{brf}{\backcite{Ost86}{{68}{4.1.1}{subsection.4.1.1}}}
\@writefile{brf}{\backcite{HP89}{{68}{4.1.1}{subsection.4.1.1}}}
\@writefile{brf}{\backcite{Ost86}{{68}{4.1.1}{subsection.4.1.1}}}
\citation{JLPW95}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.1.2}\textcolor {Chapter }{Brauer Tables}}{69}{subsection.4.1.2}\protected@file@percent }
\newlabel{subsec:contents-modular}{{4.1.2}{69}{\textcolor {Chapter }{Brauer Tables}}{subsection.4.1.2}{}}
\@writefile{brf}{\backcite{JLPW95}{{69}{4.1.2}{subsection.4.1.2}}}
\@writefile{toc}{\contentsline {section}{\numberline {4.2}\textcolor {Chapter }{Generic Character Tables}}{69}{section.4.2}\protected@file@percent }
\newlabel{sec:generictables}{{4.2}{69}{\textcolor {Chapter }{Generic Character Tables}}{section.4.2}{}}
\citation{Noe02}
\citation{Noe02}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.2.1}\textcolor {Chapter }{Available generic character tables}}{70}{subsection.4.2.1}\protected@file@percent }
\newlabel{subsec:generictablesavailable}{{4.2.1}{70}{\textcolor {Chapter }{Available generic character tables}}{subsection.4.2.1}{}}
\@writefile{brf}{\backcite{Noe02}{{70}{4.2.1}{subsection.4.2.1}}}
\@writefile{brf}{\backcite{Noe02}{{70}{4.2.1}{subsection.4.2.1}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.2.2}\textcolor {Chapter }{CharacterTableSpecialized}}{71}{subsection.4.2.2}\protected@file@percent }
\newlabel{CharacterTableSpecialized}{{4.2.2}{71}{\textcolor {Chapter }{CharacterTableSpecialized}}{subsection.4.2.2}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.2.3}\textcolor {Chapter }{Components of generic character tables}}{72}{subsection.4.2.3}\protected@file@percent }
\newlabel{subsec:generictablecomponents}{{4.2.3}{72}{\textcolor {Chapter }{Components of generic character tables}}{subsection.4.2.3}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.2.4}\textcolor {Chapter }{Example: The generic table of cyclic groups}}{73}{subsection.4.2.4}\protected@file@percent }
\newlabel{subsec:generictableCn}{{4.2.4}{73}{\textcolor {Chapter }{Example: The generic table of cyclic groups}}{subsection.4.2.4}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.2.5}\textcolor {Chapter }{Example: The generic table of the general linear group GL$(2,q)$ }}{74}{subsection.4.2.5}\protected@file@percent }
\newlabel{subsec:generictableGL2}{{4.2.5}{74}{\textcolor {Chapter }{Example: The generic table of the general linear group GL$(2,q)$ }}{subsection.4.2.5}{}}
\citation{CCN85}
\citation{JLPW95}
\citation{BN95}
\citation{JLPW95}
\citation{JLPW95}
\@writefile{toc}{\contentsline {section}{\numberline {4.3}\textcolor {Chapter }{\textsf  {Atlas} Tables}}{75}{section.4.3}\protected@file@percent }
\newlabel{sec:ATLAS Tables}{{4.3}{75}{\textcolor {Chapter }{\textsf {Atlas} Tables}}{section.4.3}{}}
\@writefile{brf}{\backcite{CCN85}{{75}{4.3}{section.4.3}}}
\@writefile{brf}{\backcite{JLPW95}{{75}{4.3}{section.4.3}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.3.1}\textcolor {Chapter }{Improvements to the \textsf  {Atlas}}}{75}{subsection.4.3.1}\protected@file@percent }
\newlabel{subsec:Improvements}{{4.3.1}{75}{\textcolor {Chapter }{Improvements to the \textsf {Atlas}}}{subsection.4.3.1}{}}
\@writefile{brf}{\backcite{BN95}{{75}{4.3.1}{subsection.4.3.1}}}
\@writefile{brf}{\backcite{JLPW95}{{75}{4.3.1}{subsection.4.3.1}}}
\@writefile{brf}{\backcite{JLPW95}{{75}{4.3.1}{subsection.4.3.1}}}
\citation{CCN85}
\citation{CCN85}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.3.2}\textcolor {Chapter }{Power Maps}}{76}{subsection.4.3.2}\protected@file@percent }
\newlabel{subsec:Power Maps}{{4.3.2}{76}{\textcolor {Chapter }{Power Maps}}{subsection.4.3.2}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.3.3}\textcolor {Chapter }{Projective Characters and Projections}}{76}{subsection.4.3.3}\protected@file@percent }
\newlabel{subsec:Projective Characters and Projections}{{4.3.3}{76}{\textcolor {Chapter }{Projective Characters and Projections}}{subsection.4.3.3}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.3.4}\textcolor {Chapter }{Tables of Isoclinic Groups}}{76}{subsection.4.3.4}\protected@file@percent }
\newlabel{subsec:Tables of Isoclinic Groups}{{4.3.4}{76}{\textcolor {Chapter }{Tables of Isoclinic Groups}}{subsection.4.3.4}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.3.5}\textcolor {Chapter }{Ordering of Characters and Classes}}{76}{subsection.4.3.5}\protected@file@percent }
\newlabel{subsec:Ordering of Characters and Classes}{{4.3.5}{76}{\textcolor {Chapter }{Ordering of Characters and Classes}}{subsection.4.3.5}{}}
\@writefile{brf}{\backcite{CCN85}{{76}{2}{Item.5}}}
\citation{CCN85}
\citation{CCN85}
\citation{JLPW95}
\@writefile{brf}{\backcite{CCN85}{{77}{3}{Item.6}}}
\@writefile{brf}{\backcite{CCN85}{{77}{5}{Item.8}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.3.6}\textcolor {Chapter }{AtlasLabelsOfIrreducibles}}{77}{subsection.4.3.6}\protected@file@percent }
\newlabel{AtlasLabelsOfIrreducibles}{{4.3.6}{77}{\textcolor {Chapter }{AtlasLabelsOfIrreducibles}}{subsection.4.3.6}{}}
\citation{CCN85}
\@writefile{brf}{\backcite{CCN85}{{78}{4.3.6}{subsection.4.3.6}}}
\@writefile{brf}{\backcite{JLPW95}{{78}{4.3.6}{subsection.4.3.6}}}
\@writefile{brf}{\backcite{CCN85}{{78}{4.3.6}{subsection.4.3.6}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.3.7}\textcolor {Chapter }{Examples of the \textsf  {Atlas} Format for \textsf  {GAP} Tables}}{78}{subsection.4.3.7}\protected@file@percent }
\newlabel{subsect:explsATLAS}{{4.3.7}{78}{\textcolor {Chapter }{Examples of the \textsf {Atlas} Format for \textsf {GAP} Tables}}{subsection.4.3.7}{}}
\citation{NPP84}
\@writefile{toc}{\contentsline {section}{\numberline {4.4}\textcolor {Chapter }{\textsf  {CAS} Tables}}{83}{section.4.4}\protected@file@percent }
\newlabel{sec:CAS Tables}{{4.4}{83}{\textcolor {Chapter }{\textsf {CAS} Tables}}{section.4.4}{}}
\@writefile{brf}{\backcite{NPP84}{{83}{4.4}{section.4.4}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.4.1}\textcolor {Chapter }{CASInfo}}{83}{subsection.4.4.1}\protected@file@percent }
\newlabel{CASInfo}{{4.4.1}{83}{\textcolor {Chapter }{CASInfo}}{subsection.4.4.1}{}}
\@writefile{toc}{\contentsline {section}{\numberline {4.5}\textcolor {Chapter }{Customizations of the \textsf  {GAP} Character Table Library}}{84}{section.4.5}\protected@file@percent }
\newlabel{sec:customize}{{4.5}{84}{\textcolor {Chapter }{Customizations of the \textsf {GAP} Character Table Library}}{section.4.5}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.5.1}\textcolor {Chapter }{Installing the \textsf  {GAP} Character Table Library}}{84}{subsection.4.5.1}\protected@file@percent }
\newlabel{subsect:install}{{4.5.1}{84}{\textcolor {Chapter }{Installing the \textsf {GAP} Character Table Library}}{subsection.4.5.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.5.2}\textcolor {Chapter }{Unloading Character Table Data}}{84}{subsection.4.5.2}\protected@file@percent }
\newlabel{subsect:unloadfiles}{{4.5.2}{84}{\textcolor {Chapter }{Unloading Character Table Data}}{subsection.4.5.2}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.5.3}\textcolor {Chapter }{Changing the display format of several functions}}{84}{subsection.4.5.3}\protected@file@percent }
\newlabel{subsect:displayfunction}{{4.5.3}{84}{\textcolor {Chapter }{Changing the display format of several functions}}{subsection.4.5.3}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.5.4}\textcolor {Chapter }{The path for calling \textsf  {MAGMA}}}{84}{subsection.4.5.4}\protected@file@percent }
\newlabel{subsect:magmapath}{{4.5.4}{84}{\textcolor {Chapter }{The path for calling \textsf {MAGMA}}}{subsection.4.5.4}{}}
\@writefile{toc}{\contentsline {section}{\numberline {4.6}\textcolor {Chapter }{Technicalities of the Access to Character Tables from the Library }}{85}{section.4.6}\protected@file@percent }
\newlabel{sec:technicalities}{{4.6}{85}{\textcolor {Chapter }{Technicalities of the Access to Character Tables from the Library }}{section.4.6}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.6.1}\textcolor {Chapter }{Data Files of the \textsf  {GAP} Character Table Library}}{85}{subsection.4.6.1}\protected@file@percent }
\newlabel{subsec:CTblLib data files}{{4.6.1}{85}{\textcolor {Chapter }{Data Files of the \textsf {GAP} Character Table Library}}{subsection.4.6.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.6.2}\textcolor {Chapter }{LIBLIST}}{86}{subsection.4.6.2}\protected@file@percent }
\newlabel{LIBLIST}{{4.6.2}{86}{\textcolor {Chapter }{LIBLIST}}{subsection.4.6.2}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.6.3}\textcolor {Chapter }{LibInfoCharacterTable}}{87}{subsection.4.6.3}\protected@file@percent }
\newlabel{LibInfoCharacterTable}{{4.6.3}{87}{\textcolor {Chapter }{LibInfoCharacterTable}}{subsection.4.6.3}{}}
\@writefile{toc}{\contentsline {section}{\numberline {4.7}\textcolor {Chapter }{How to Extend the \textsf  {GAP} Character Table Library}}{87}{section.4.7}\protected@file@percent }
\newlabel{sec:extending}{{4.7}{87}{\textcolor {Chapter }{How to Extend the \textsf {GAP} Character Table Library}}{section.4.7}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.7.1}\textcolor {Chapter }{NotifyNameOfCharacterTable}}{88}{subsection.4.7.1}\protected@file@percent }
\newlabel{NotifyNameOfCharacterTable}{{4.7.1}{88}{\textcolor {Chapter }{NotifyNameOfCharacterTable}}{subsection.4.7.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.7.2}\textcolor {Chapter }{LibraryFusion}}{88}{subsection.4.7.2}\protected@file@percent }
\newlabel{LibraryFusion}{{4.7.2}{88}{\textcolor {Chapter }{LibraryFusion}}{subsection.4.7.2}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.7.3}\textcolor {Chapter }{LibraryFusionTblToTom}}{89}{subsection.4.7.3}\protected@file@percent }
\newlabel{LibraryFusionTblToTom}{{4.7.3}{89}{\textcolor {Chapter }{LibraryFusionTblToTom}}{subsection.4.7.3}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.7.4}\textcolor {Chapter }{PrintToLib}}{90}{subsection.4.7.4}\protected@file@percent }
\newlabel{PrintToLib}{{4.7.4}{90}{\textcolor {Chapter }{PrintToLib}}{subsection.4.7.4}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.7.5}\textcolor {Chapter }{NotifyCharacterTable}}{91}{subsection.4.7.5}\protected@file@percent }
\newlabel{NotifyCharacterTable}{{4.7.5}{91}{\textcolor {Chapter }{NotifyCharacterTable}}{subsection.4.7.5}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.7.6}\textcolor {Chapter }{NotifyCharacterTables}}{92}{subsection.4.7.6}\protected@file@percent }
\newlabel{NotifyCharacterTables}{{4.7.6}{92}{\textcolor {Chapter }{NotifyCharacterTables}}{subsection.4.7.6}{}}
\@writefile{toc}{\contentsline {section}{\numberline {4.8}\textcolor {Chapter }{Sanity Checks for the \textsf  {GAP} Character Table Library}}{92}{section.4.8}\protected@file@percent }
\newlabel{sec:CTblLib Sanity Checks}{{4.8}{92}{\textcolor {Chapter }{Sanity Checks for the \textsf {GAP} Character Table Library}}{section.4.8}{}}
\citation{CCN85}
\citation{JLPW95}
\@writefile{toc}{\contentsline {section}{\numberline {4.9}\textcolor {Chapter }{Maintenance of the \textsf  {GAP} Character Table Library}}{95}{section.4.9}\protected@file@percent }
\newlabel{sec:CTblLib Maintenance}{{4.9}{95}{\textcolor {Chapter }{Maintenance of the \textsf {GAP} Character Table Library}}{section.4.9}{}}
\@writefile{brf}{\backcite{CCN85}{{95}{4.9}{section.4.9}}}
\@writefile{brf}{\backcite{JLPW95}{{95}{4.9}{section.4.9}}}
\citation{CCE}
\citation{Auto}
\citation{Bre11}
\@writefile{toc}{\contentsline {chapter}{\numberline {5}\textcolor {Chapter }{Functions for Character Table Constructions}}{96}{chapter.5}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\newlabel{chap:constructions}{{5}{96}{\textcolor {Chapter }{Functions for Character Table Constructions}}{chapter.5}{}}
\@writefile{brf}{\backcite{CCE}{{96}{5}{chapter.5}}}
\@writefile{brf}{\backcite{Auto}{{96}{5}{chapter.5}}}
\@writefile{toc}{\contentsline {section}{\numberline {5.1}\textcolor {Chapter }{Character Tables of Groups of Structure $M.G.A$}}{96}{section.5.1}\protected@file@percent }
\newlabel{sec:construc:MGA}{{5.1}{96}{\textcolor {Chapter }{Character Tables of Groups of Structure $M.G.A$}}{section.5.1}{}}
\@writefile{brf}{\backcite{Bre11}{{96}{5.1}{section.5.1}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.1.1}\textcolor {Chapter }{PossibleCharacterTablesOfTypeMGA}}{96}{subsection.5.1.1}\protected@file@percent }
\newlabel{PossibleCharacterTablesOfTypeMGA}{{5.1.1}{96}{\textcolor {Chapter }{PossibleCharacterTablesOfTypeMGA}}{subsection.5.1.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.1.2}\textcolor {Chapter }{BrauerTableOfTypeMGA}}{97}{subsection.5.1.2}\protected@file@percent }
\newlabel{BrauerTableOfTypeMGA}{{5.1.2}{97}{\textcolor {Chapter }{BrauerTableOfTypeMGA}}{subsection.5.1.2}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.1.3}\textcolor {Chapter }{PossibleActionsForTypeMGA}}{97}{subsection.5.1.3}\protected@file@percent }
\newlabel{PossibleActionsForTypeMGA}{{5.1.3}{97}{\textcolor {Chapter }{PossibleActionsForTypeMGA}}{subsection.5.1.3}{}}
\citation{Auto}
\@writefile{toc}{\contentsline {section}{\numberline {5.2}\textcolor {Chapter }{Character Tables of Groups of Structure $G.S_3$}}{98}{section.5.2}\protected@file@percent }
\newlabel{sec:construc:GS3}{{5.2}{98}{\textcolor {Chapter }{Character Tables of Groups of Structure $G.S_3$}}{section.5.2}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.2.1}\textcolor {Chapter }{CharacterTableOfTypeGS3}}{98}{subsection.5.2.1}\protected@file@percent }
\newlabel{CharacterTableOfTypeGS3}{{5.2.1}{98}{\textcolor {Chapter }{CharacterTableOfTypeGS3}}{subsection.5.2.1}{}}
\newlabel{CharacterTableOfTypeGS3:for Brauer tables}{{5.2.1}{98}{\textcolor {Chapter }{CharacterTableOfTypeGS3}}{subsection.5.2.1}{}}
\@writefile{brf}{\backcite{Auto}{{98}{5.2.1}{subsection.5.2.1}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.2.2}\textcolor {Chapter }{PossibleActionsForTypeGS3}}{98}{subsection.5.2.2}\protected@file@percent }
\newlabel{PossibleActionsForTypeGS3}{{5.2.2}{98}{\textcolor {Chapter }{PossibleActionsForTypeGS3}}{subsection.5.2.2}{}}
\@writefile{toc}{\contentsline {section}{\numberline {5.3}\textcolor {Chapter }{Character Tables of Groups of Structure $G.2^2$}}{99}{section.5.3}\protected@file@percent }
\newlabel{sec:construc:GV4}{{5.3}{99}{\textcolor {Chapter }{Character Tables of Groups of Structure $G.2^2$}}{section.5.3}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.3.1}\textcolor {Chapter }{PossibleCharacterTablesOfTypeGV4}}{99}{subsection.5.3.1}\protected@file@percent }
\newlabel{PossibleCharacterTablesOfTypeGV4}{{5.3.1}{99}{\textcolor {Chapter }{PossibleCharacterTablesOfTypeGV4}}{subsection.5.3.1}{}}
\newlabel{PossibleCharacterTablesOfTypeGV4:for Brauer tables}{{5.3.1}{99}{\textcolor {Chapter }{PossibleCharacterTablesOfTypeGV4}}{subsection.5.3.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.3.2}\textcolor {Chapter }{PossibleActionsForTypeGV4}}{99}{subsection.5.3.2}\protected@file@percent }
\newlabel{PossibleActionsForTypeGV4}{{5.3.2}{99}{\textcolor {Chapter }{PossibleActionsForTypeGV4}}{subsection.5.3.2}{}}
\@writefile{toc}{\contentsline {section}{\numberline {5.4}\textcolor {Chapter }{Character Tables of Groups of Structure $2^2.G$}}{100}{section.5.4}\protected@file@percent }
\newlabel{sec:construc:V4G}{{5.4}{100}{\textcolor {Chapter }{Character Tables of Groups of Structure $2^2.G$}}{section.5.4}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.4.1}\textcolor {Chapter }{PossibleCharacterTablesOfTypeV4G}}{100}{subsection.5.4.1}\protected@file@percent }
\newlabel{PossibleCharacterTablesOfTypeV4G}{{5.4.1}{100}{\textcolor {Chapter }{PossibleCharacterTablesOfTypeV4G}}{subsection.5.4.1}{}}
\newlabel{PossibleCharacterTablesOfTypeV4G:for conj. ordinary tables, and an autom.}{{5.4.1}{100}{\textcolor {Chapter }{PossibleCharacterTablesOfTypeV4G}}{subsection.5.4.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.4.2}\textcolor {Chapter }{BrauerTableOfTypeV4G}}{100}{subsection.5.4.2}\protected@file@percent }
\newlabel{BrauerTableOfTypeV4G:for three factors}{{5.4.2}{100}{\textcolor {Chapter }{BrauerTableOfTypeV4G}}{subsection.5.4.2}{}}
\newlabel{BrauerTableOfTypeV4G:for one factor and an autom.}{{5.4.2}{100}{\textcolor {Chapter }{BrauerTableOfTypeV4G}}{subsection.5.4.2}{}}
\@writefile{toc}{\contentsline {section}{\numberline {5.5}\textcolor {Chapter }{Character Tables of Subdirect Products of Index Two}}{101}{section.5.5}\protected@file@percent }
\newlabel{sec:construc:subdirindex2}{{5.5}{101}{\textcolor {Chapter }{Character Tables of Subdirect Products of Index Two}}{section.5.5}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.5.1}\textcolor {Chapter }{CharacterTableOfIndexTwoSubdirectProduct}}{101}{subsection.5.5.1}\protected@file@percent }
\newlabel{CharacterTableOfIndexTwoSubdirectProduct}{{5.5.1}{101}{\textcolor {Chapter }{CharacterTableOfIndexTwoSubdirectProduct}}{subsection.5.5.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.5.2}\textcolor {Chapter }{ConstructIndexTwoSubdirectProduct}}{101}{subsection.5.5.2}\protected@file@percent }
\newlabel{ConstructIndexTwoSubdirectProduct}{{5.5.2}{101}{\textcolor {Chapter }{ConstructIndexTwoSubdirectProduct}}{subsection.5.5.2}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.5.3}\textcolor {Chapter }{ConstructIndexTwoSubdirectProductInfo}}{102}{subsection.5.5.3}\protected@file@percent }
\newlabel{ConstructIndexTwoSubdirectProductInfo}{{5.5.3}{102}{\textcolor {Chapter }{ConstructIndexTwoSubdirectProductInfo}}{subsection.5.5.3}{}}
\@writefile{toc}{\contentsline {section}{\numberline {5.6}\textcolor {Chapter }{Brauer Tables of Extensions by $p$-regular Automorphisms }}{102}{section.5.6}\protected@file@percent }
\newlabel{sec:construc:preg}{{5.6}{102}{\textcolor {Chapter }{Brauer Tables of Extensions by $p$-regular Automorphisms }}{section.5.6}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.6.1}\textcolor {Chapter }{IBrOfExtensionBySingularAutomorphism}}{102}{subsection.5.6.1}\protected@file@percent }
\newlabel{IBrOfExtensionBySingularAutomorphism}{{5.6.1}{102}{\textcolor {Chapter }{IBrOfExtensionBySingularAutomorphism}}{subsection.5.6.1}{}}
\@writefile{toc}{\contentsline {section}{\numberline {5.7}\textcolor {Chapter }{Character Tables of Coprime Central Extensions}}{103}{section.5.7}\protected@file@percent }
\newlabel{sec:construc:cenex}{{5.7}{103}{\textcolor {Chapter }{Character Tables of Coprime Central Extensions}}{section.5.7}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.7.1}\textcolor {Chapter }{CharacterTableOfCommonCentralExtension}}{103}{subsection.5.7.1}\protected@file@percent }
\newlabel{CharacterTableOfCommonCentralExtension}{{5.7.1}{103}{\textcolor {Chapter }{CharacterTableOfCommonCentralExtension}}{subsection.5.7.1}{}}
\@writefile{toc}{\contentsline {section}{\numberline {5.8}\textcolor {Chapter }{Construction Functions used in the Character Table Library}}{103}{section.5.8}\protected@file@percent }
\newlabel{sec:construc:functions}{{5.8}{103}{\textcolor {Chapter }{Construction Functions used in the Character Table Library}}{section.5.8}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.8.1}\textcolor {Chapter }{ConstructMGA}}{104}{subsection.5.8.1}\protected@file@percent }
\newlabel{ConstructMGA}{{5.8.1}{104}{\textcolor {Chapter }{ConstructMGA}}{subsection.5.8.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.8.2}\textcolor {Chapter }{ConstructMGAInfo}}{104}{subsection.5.8.2}\protected@file@percent }
\newlabel{ConstructMGAInfo}{{5.8.2}{104}{\textcolor {Chapter }{ConstructMGAInfo}}{subsection.5.8.2}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.8.3}\textcolor {Chapter }{ConstructGS3}}{104}{subsection.5.8.3}\protected@file@percent }
\newlabel{ConstructGS3}{{5.8.3}{104}{\textcolor {Chapter }{ConstructGS3}}{subsection.5.8.3}{}}
\newlabel{ConstructGS3Info}{{5.8.3}{104}{\textcolor {Chapter }{ConstructGS3}}{subsection.5.8.3}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.8.4}\textcolor {Chapter }{ConstructV4G}}{104}{subsection.5.8.4}\protected@file@percent }
\newlabel{ConstructV4G}{{5.8.4}{104}{\textcolor {Chapter }{ConstructV4G}}{subsection.5.8.4}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.8.5}\textcolor {Chapter }{ConstructProj}}{105}{subsection.5.8.5}\protected@file@percent }
\newlabel{ConstructProj}{{5.8.5}{105}{\textcolor {Chapter }{ConstructProj}}{subsection.5.8.5}{}}
\newlabel{ConstructProjInfo}{{5.8.5}{105}{\textcolor {Chapter }{ConstructProj}}{subsection.5.8.5}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.8.6}\textcolor {Chapter }{ConstructDirectProduct}}{105}{subsection.5.8.6}\protected@file@percent }
\newlabel{ConstructDirectProduct}{{5.8.6}{105}{\textcolor {Chapter }{ConstructDirectProduct}}{subsection.5.8.6}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.8.7}\textcolor {Chapter }{ConstructCentralProduct}}{105}{subsection.5.8.7}\protected@file@percent }
\newlabel{ConstructCentralProduct}{{5.8.7}{105}{\textcolor {Chapter }{ConstructCentralProduct}}{subsection.5.8.7}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.8.8}\textcolor {Chapter }{ConstructSubdirect}}{106}{subsection.5.8.8}\protected@file@percent }
\newlabel{ConstructSubdirect}{{5.8.8}{106}{\textcolor {Chapter }{ConstructSubdirect}}{subsection.5.8.8}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.8.9}\textcolor {Chapter }{ConstructWreathSymmetric}}{106}{subsection.5.8.9}\protected@file@percent }
\newlabel{ConstructWreathSymmetric}{{5.8.9}{106}{\textcolor {Chapter }{ConstructWreathSymmetric}}{subsection.5.8.9}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.8.10}\textcolor {Chapter }{ConstructIsoclinic}}{106}{subsection.5.8.10}\protected@file@percent }
\newlabel{ConstructIsoclinic}{{5.8.10}{106}{\textcolor {Chapter }{ConstructIsoclinic}}{subsection.5.8.10}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.8.11}\textcolor {Chapter }{ConstructPermuted}}{106}{subsection.5.8.11}\protected@file@percent }
\newlabel{ConstructPermuted}{{5.8.11}{106}{\textcolor {Chapter }{ConstructPermuted}}{subsection.5.8.11}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.8.12}\textcolor {Chapter }{ConstructAdjusted}}{107}{subsection.5.8.12}\protected@file@percent }
\newlabel{ConstructAdjusted}{{5.8.12}{107}{\textcolor {Chapter }{ConstructAdjusted}}{subsection.5.8.12}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.8.13}\textcolor {Chapter }{ConstructFactor}}{107}{subsection.5.8.13}\protected@file@percent }
\newlabel{ConstructFactor}{{5.8.13}{107}{\textcolor {Chapter }{ConstructFactor}}{subsection.5.8.13}{}}
\citation{NPP84}
\citation{NPP84}
\@writefile{toc}{\contentsline {chapter}{\numberline {6}\textcolor {Chapter }{Interfaces to Other Data Formats for Character Tables}}{108}{chapter.6}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\newlabel{chap:interfaces}{{6}{108}{\textcolor {Chapter }{Interfaces to Other Data Formats for Character Tables}}{chapter.6}{}}
\@writefile{toc}{\contentsline {section}{\numberline {6.1}\textcolor {Chapter }{Interface to the \textsf  {CAS} System}}{108}{section.6.1}\protected@file@percent }
\newlabel{sec:interface-cas}{{6.1}{108}{\textcolor {Chapter }{Interface to the \textsf {CAS} System}}{section.6.1}{}}
\@writefile{brf}{\backcite{NPP84}{{108}{6.1}{section.6.1}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.1.1}\textcolor {Chapter }{CASString}}{108}{subsection.6.1.1}\protected@file@percent }
\newlabel{CASString}{{6.1.1}{108}{\textcolor {Chapter }{CASString}}{subsection.6.1.1}{}}
\@writefile{brf}{\backcite{NPP84}{{108}{6.1.1}{subsection.6.1.1}}}
\citation{HJLP92}
\@writefile{toc}{\contentsline {section}{\numberline {6.2}\textcolor {Chapter }{Interface to the \textsf  {MOC} System}}{109}{section.6.2}\protected@file@percent }
\newlabel{sec:interface-moc}{{6.2}{109}{\textcolor {Chapter }{Interface to the \textsf {MOC} System}}{section.6.2}{}}
\@writefile{brf}{\backcite{HJLP92}{{109}{6.2}{section.6.2}}}
\citation{HJLP92}
\citation{LP91}
\@writefile{brf}{\backcite{HJLP92}{{110}{6.2}{section.6.2}}}
\@writefile{brf}{\backcite{LP91}{{110}{6.2}{section.6.2}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.2.1}\textcolor {Chapter }{MAKElb11}}{110}{subsection.6.2.1}\protected@file@percent }
\newlabel{MAKElb11}{{6.2.1}{110}{\textcolor {Chapter }{MAKElb11}}{subsection.6.2.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.2.2}\textcolor {Chapter }{MOCTable}}{110}{subsection.6.2.2}\protected@file@percent }
\newlabel{MOCTable}{{6.2.2}{110}{\textcolor {Chapter }{MOCTable}}{subsection.6.2.2}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.2.3}\textcolor {Chapter }{MOCString}}{112}{subsection.6.2.3}\protected@file@percent }
\newlabel{MOCString}{{6.2.3}{112}{\textcolor {Chapter }{MOCString}}{subsection.6.2.3}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.2.4}\textcolor {Chapter }{ScanMOC}}{113}{subsection.6.2.4}\protected@file@percent }
\newlabel{ScanMOC}{{6.2.4}{113}{\textcolor {Chapter }{ScanMOC}}{subsection.6.2.4}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.2.5}\textcolor {Chapter }{GAPChars}}{113}{subsection.6.2.5}\protected@file@percent }
\newlabel{GAPChars}{{6.2.5}{113}{\textcolor {Chapter }{GAPChars}}{subsection.6.2.5}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.2.6}\textcolor {Chapter }{MOCChars}}{113}{subsection.6.2.6}\protected@file@percent }
\newlabel{MOCChars}{{6.2.6}{113}{\textcolor {Chapter }{MOCChars}}{subsection.6.2.6}{}}
\@writefile{toc}{\contentsline {section}{\numberline {6.3}\textcolor {Chapter }{Interface to \textsf  {GAP}{\nobreakspace  }3}}{113}{section.6.3}\protected@file@percent }
\newlabel{sec:interface-gap3}{{6.3}{113}{\textcolor {Chapter }{Interface to \textsf {GAP}{\nobreakspace }3}}{section.6.3}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.3.1}\textcolor {Chapter }{GAP3CharacterTableScan}}{114}{subsection.6.3.1}\protected@file@percent }
\newlabel{GAP3CharacterTableScan}{{6.3.1}{114}{\textcolor {Chapter }{GAP3CharacterTableScan}}{subsection.6.3.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.3.2}\textcolor {Chapter }{GAP3CharacterTableString}}{114}{subsection.6.3.2}\protected@file@percent }
\newlabel{GAP3CharacterTableString}{{6.3.2}{114}{\textcolor {Chapter }{GAP3CharacterTableString}}{subsection.6.3.2}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.3.3}\textcolor {Chapter }{GAP3CharacterTableData}}{114}{subsection.6.3.3}\protected@file@percent }
\newlabel{GAP3CharacterTableData}{{6.3.3}{114}{\textcolor {Chapter }{GAP3CharacterTableData}}{subsection.6.3.3}{}}
\citation{CCN85}
\citation{JLPW95}
\@writefile{toc}{\contentsline {section}{\numberline {6.4}\textcolor {Chapter }{Interface to the Cambridge Format}}{115}{section.6.4}\protected@file@percent }
\newlabel{sec:interface-cambridge}{{6.4}{115}{\textcolor {Chapter }{Interface to the Cambridge Format}}{section.6.4}{}}
\@writefile{brf}{\backcite{CCN85}{{115}{6.4}{section.6.4}}}
\@writefile{brf}{\backcite{JLPW95}{{115}{6.4}{section.6.4}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.4.1}\textcolor {Chapter }{CambridgeMaps}}{115}{subsection.6.4.1}\protected@file@percent }
\newlabel{CambridgeMaps}{{6.4.1}{115}{\textcolor {Chapter }{CambridgeMaps}}{subsection.6.4.1}{}}
\citation{CCN85}
\@writefile{brf}{\backcite{CCN85}{{116}{6.4.1}{subsection.6.4.1}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.4.2}\textcolor {Chapter }{StringOfCambridgeFormat}}{116}{subsection.6.4.2}\protected@file@percent }
\newlabel{StringOfCambridgeFormat}{{6.4.2}{116}{\textcolor {Chapter }{StringOfCambridgeFormat}}{subsection.6.4.2}{}}
\citation{CP96}
\@writefile{toc}{\contentsline {section}{\numberline {6.5}\textcolor {Chapter }{Interface to the \textsf  {MAGMA} System}}{117}{section.6.5}\protected@file@percent }
\newlabel{sec:interface-magma}{{6.5}{117}{\textcolor {Chapter }{Interface to the \textsf {MAGMA} System}}{section.6.5}{}}
\@writefile{brf}{\backcite{CP96}{{117}{6.5}{section.6.5}}}
\citation{Bos90}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.5.1}\textcolor {Chapter }{BosmaBase}}{118}{subsection.6.5.1}\protected@file@percent }
\newlabel{BosmaBase}{{6.5.1}{118}{\textcolor {Chapter }{BosmaBase}}{subsection.6.5.1}{}}
\@writefile{brf}{\backcite{Bos90}{{118}{6.5.1}{subsection.6.5.1}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.5.2}\textcolor {Chapter }{GAPTableOfMagmaFile (for a file)}}{118}{subsection.6.5.2}\protected@file@percent }
\newlabel{GAPTableOfMagmaFile:for a file}{{6.5.2}{118}{\textcolor {Chapter }{GAPTableOfMagmaFile (for a file)}}{subsection.6.5.2}{}}
\newlabel{GAPTableOfMagmaFile:for a string}{{6.5.2}{118}{\textcolor {Chapter }{GAPTableOfMagmaFile (for a file)}}{subsection.6.5.2}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.5.3}\textcolor {Chapter }{CharacterTableComputedByMagma}}{121}{subsection.6.5.3}\protected@file@percent }
\newlabel{CharacterTableComputedByMagma}{{6.5.3}{121}{\textcolor {Chapter }{CharacterTableComputedByMagma}}{subsection.6.5.3}{}}
\citation{CCN85}
\citation{CCN85}
\citation{JLPW95}
\@writefile{toc}{\contentsline {chapter}{\numberline {7}\textcolor {Chapter }{Utility Functions Provided by the \textsf  {CTblLib} Package}}{122}{chapter.7}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\newlabel{chap:utilities}{{7}{122}{\textcolor {Chapter }{Utility Functions Provided by the \textsf {CTblLib} Package}}{chapter.7}{}}
\@writefile{toc}{\contentsline {section}{\numberline {7.1}\textcolor {Chapter }{Write Character Values in Terms of Atomic \textsf  {Atlas} Irrationalities}}{122}{section.7.1}\protected@file@percent }
\newlabel{sect:CTblLib.StringOfAtlasIrrationality}{{7.1}{122}{\textcolor {Chapter }{Write Character Values in Terms of Atomic \textsf {Atlas} Irrationalities}}{section.7.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {7.1.1}\textcolor {Chapter }{CTblLib.StringOfAtlasIrrationality}}{122}{subsection.7.1.1}\protected@file@percent }
\newlabel{CTblLib.StringOfAtlasIrrationality}{{7.1.1}{122}{\textcolor {Chapter }{CTblLib.StringOfAtlasIrrationality}}{subsection.7.1.1}{}}
\@writefile{brf}{\backcite{CCN85}{{122}{7.1.1}{subsection.7.1.1}}}
\@writefile{brf}{\backcite{CCN85}{{122}{7.1.1}{subsection.7.1.1}}}
\@writefile{brf}{\backcite{JLPW95}{{122}{7.1.1}{subsection.7.1.1}}}
\bibstyle{alpha}
\bibdata{manualbib.xml,gapmanualbib.xml}
\@writefile{toc}{\contentsline {section}{\numberline {7.2}\textcolor {Chapter }{Create a String that Describes the Group Structure}}{123}{section.7.2}\protected@file@percent }
\newlabel{sect:StructureDescriptionCharacterTableName}{{7.2}{123}{\textcolor {Chapter }{Create a String that Describes the Group Structure}}{section.7.2}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {7.2.1}\textcolor {Chapter }{StructureDescriptionCharacterTableName}}{123}{subsection.7.2.1}\protected@file@percent }
\newlabel{StructureDescriptionCharacterTableName}{{7.2.1}{123}{\textcolor {Chapter }{StructureDescriptionCharacterTableName}}{subsection.7.2.1}{}}
\bibcite{ABCImp}{ABC}
\bibcite{GMN}{BGL{$^{+}$}10}
\bibcite{Browse}{BL18}
\bibcite{BMO17}{BMO17}
\bibcite{BMverify}{BMW20}
\bibcite{BN95}{BN95}
\citation{JLPW95}
\bibcite{Bos90}{Bos90}
\bibcite{AmbigFus}{Brea}
\bibcite{CCE}{Breb}
\bibcite{AtlasVerifyLargeArxiv}{Brec}
\bibcite{ctblpope}{Bred}
\bibcite{ProbGenArxiv}{Bree}
\bibcite{Auto}{Bref}
\@writefile{brf}{\backcite{JLPW95}{{124}{7}{chapter*.3}}}
\bibcite{Bre11}{Bre11}
\bibcite{CCN85}{CCN{$^{+}$}85}
\bibcite{Cla05}{CH05}
\bibcite{CP96}{CP96}
\bibcite{Dan06}{Dan06}
\bibcite{GAP}{GAP21}
\bibcite{GR20}{GR}
\bibcite{Han88}{Han88}
\bibcite{HJLP92}{HJLP}
\bibcite{HP89}{HP89}
\bibcite{JLPW95}{JLPW95}
\bibcite{GAPDoc}{LN18}
\bibcite{LOST2010}{LOST10}
\bibcite{LP91}{LP91}
\bibcite{LP10}{LP10}
\bibcite{Nav98}{Nav98}
\bibcite{TomLib}{NMP18}
\bibcite{Noe02}{Noe02}
\bibcite{AtlasImpII}{Nor}
\bibcite{NPP84}{NPP84}
\bibcite{Ost86}{Ost86}
\bibcite{AtlasRep}{WPN{$^{+}$}19}
\@writefile{toc}{\contentsline {chapter}{References}{126}{chapter*.3}\protected@file@percent }
\@writefile{toc}{\contentsline {chapter}{Index}{127}{section*.4}\protected@file@percent }
