\select@language {USenglish} \contentsline {section}{\numberline {1}Using the CubicBraidGroup class}{1}{section.1} \contentsline {subsection}{\numberline {1.1}Introduction}{1}{subsection.1.1} \contentsline {subsection}{\numberline {1.2}Getting started}{2}{subsection.1.2} \contentsline {subsection}{\numberline {1.3}First steps}{8}{subsection.1.3} \contentsline {subsection}{\numberline {1.4}Classical realization}{8}{subsection.1.4} \contentsline {subsection}{\numberline {1.5}Exceptions in Assions series}{12}{subsection.1.5} \contentsline {subsubsection}{\numberline {1.5.1}Description of the exceptions as centralizer}{12}{subsubsection.1.5.1} \contentsline {subsection}{\numberline {1.6}Conversion maps}{13}{subsection.1.6} \contentsline {subsection}{\numberline {1.7}Preimages in the Artin braid group}{15}{subsection.1.7} \contentsline {subsection}{\numberline {1.8}Burau matrices for the cubic braid groups}{15}{subsection.1.8} \contentsline {subsection}{\numberline {1.9}Other matrix group realizations via the Burau representation}{19}{subsection.1.9} \contentsline {subsection}{\numberline {1.10}Realization as complex reflection groups}{20}{subsection.1.10} \contentsline {subsection}{\numberline {1.11}Realization as permutation groups}{22}{subsection.1.11} \contentsline {subsection}{\numberline {1.12}Other useful methods}{22}{subsection.1.12}