\BOOKMARK [0][-]{chapter.1}{Introduction}{}% 1
\BOOKMARK [0][-]{chapter.2}{The main functions}{}% 2
\BOOKMARK [1][-]{section.2.1}{Zassenhaus Conjecture}{chapter.2}% 3
\BOOKMARK [1][-]{section.2.2}{Prime Graph Question}{chapter.2}% 4
\BOOKMARK [0][-]{chapter.3}{Further functions}{}% 5
\BOOKMARK [1][-]{section.3.1}{Checks for specific orders}{chapter.3}% 6
\BOOKMARK [1][-]{section.3.2}{Checks for specific orders with s-constant characters}{chapter.3}% 7
\BOOKMARK [1][-]{section.3.3}{Checks for all orders}{chapter.3}% 8
\BOOKMARK [1][-]{section.3.4}{Changing the used Character Table}{chapter.3}% 9
\BOOKMARK [1][-]{section.3.5}{Influencing how the Systems of Inequalities are solved}{chapter.3}% 10
\BOOKMARK [1][-]{section.3.6}{Checking solutions, calculating and checking solutions}{chapter.3}% 11
\BOOKMARK [1][-]{section.3.7}{The Wagner test}{chapter.3}% 12
\BOOKMARK [1][-]{section.3.8}{Output}{chapter.3}% 13
\BOOKMARK [1][-]{section.3.9}{Eigenvalue multiplicities and character values}{chapter.3}% 14
\BOOKMARK [0][-]{chapter.4}{Extended examples}{}% 15
\BOOKMARK [1][-]{section.4.1}{The Character Table Library}{chapter.4}% 16
\BOOKMARK [1][-]{section.4.2}{The behavior of the variable HeLP sol}{chapter.4}% 17
\BOOKMARK [1][-]{section.4.3}{Saving time}{chapter.4}% 18
\BOOKMARK [1][-]{section.4.4}{Using InfoLevels}{chapter.4}% 19
\BOOKMARK [1][-]{section.4.5}{Non-standard characters}{chapter.4}% 20
\BOOKMARK [1][-]{section.4.6}{A complete example: \(PQ\) for the MacLaughlin simple group}{chapter.4}% 21
\BOOKMARK [0][-]{chapter.5}{Background}{}% 22
\BOOKMARK [1][-]{section.5.1}{The Zassenhaus Conjecture and the Prime Graph Question}{chapter.5}% 23
\BOOKMARK [1][-]{section.5.2}{Partial augmentations and the structure of HeLP sol}{chapter.5}% 24
\BOOKMARK [1][-]{section.5.3}{The HeLP equations}{chapter.5}% 25
\BOOKMARK [1][-]{section.5.4}{The Wagner test}{chapter.5}% 26
\BOOKMARK [1][-]{section.5.5}{s-constant \(and \(s,t\)-constant\) characters}{chapter.5}% 27
\BOOKMARK [1][-]{section.5.6}{Known results about \(ZC\) and \(PQ\)}{chapter.5}% 28
\BOOKMARK [0][-]{chapter.6}{Remarks on technical problems and the implementation}{}% 29
\BOOKMARK [1][-]{section.6.1}{Making the HeLP-package run}{chapter.6}% 30
\BOOKMARK [1][-]{section.6.2}{How much 4ti2 and normaliz is really there?}{chapter.6}% 31
\BOOKMARK [0][-]{chapter*.4}{References}{}% 32
\BOOKMARK [0][-]{section*.5}{Index}{}% 33
