\contentsline {chapter}{\numberline {1}\leavevmode {\color {Chapter }The \textsf {GAP} interface to \textsf {Singular} }}{4}{chapter.1}
\contentsline {section}{\numberline {1.1}\leavevmode {\color {Chapter }Background}}{4}{section.1.1}
\contentsline {section}{\numberline {1.2}\leavevmode {\color {Chapter }How things are started}}{4}{section.1.2}
\contentsline {subsection}{\numberline {1.2.1}\leavevmode {\color {Chapter }InfoSingular}}{5}{subsection.1.2.1}
\contentsline {section}{\numberline {1.3}\leavevmode {\color {Chapter }The functions of the package}}{5}{section.1.3}
\contentsline {subsection}{\numberline {1.3.1}\leavevmode {\color {Chapter }TermOrdering}}{5}{subsection.1.3.1}
\contentsline {subsection}{\numberline {1.3.2}\leavevmode {\color {Chapter }SingularSetBaseRing}}{6}{subsection.1.3.2}
\contentsline {subsection}{\numberline {1.3.3}\leavevmode {\color {Chapter }SingularLibrary}}{6}{subsection.1.3.3}
\contentsline {subsection}{\numberline {1.3.4}\leavevmode {\color {Chapter }SingularHelp}}{6}{subsection.1.3.4}
\contentsline {subsection}{\numberline {1.3.5}\leavevmode {\color {Chapter }GroebnerBasis}}{7}{subsection.1.3.5}
\contentsline {subsection}{\numberline {1.3.6}\leavevmode {\color {Chapter }SINGULARGBASIS}}{7}{subsection.1.3.6}
\contentsline {subsection}{\numberline {1.3.7}\leavevmode {\color {Chapter }HasTrivialGroebnerBasis}}{7}{subsection.1.3.7}
\contentsline {subsection}{\numberline {1.3.8}\leavevmode {\color {Chapter }GcdUsingSingular}}{8}{subsection.1.3.8}
\contentsline {subsection}{\numberline {1.3.9}\leavevmode {\color {Chapter }FactorsUsingSingularNC}}{8}{subsection.1.3.9}
\contentsline {subsection}{\numberline {1.3.10}\leavevmode {\color {Chapter }FactorsUsingSingular}}{9}{subsection.1.3.10}
\contentsline {subsection}{\numberline {1.3.11}\leavevmode {\color {Chapter }GeneratorsOfInvariantRing}}{9}{subsection.1.3.11}
\contentsline {subsection}{\numberline {1.3.12}\leavevmode {\color {Chapter }SingularInterface}}{9}{subsection.1.3.12}
\contentsline {section}{\numberline {1.4}\leavevmode {\color {Chapter }Troubleshooting}}{10}{section.1.4}
\contentsline {subsection}{\numberline {1.4.1}\leavevmode {\color {Chapter }SingularReportInformations}}{10}{subsection.1.4.1}
