\relax 
\providecommand\hyper@newdestlabel[2]{}
\providecommand{\transparent@use}[1]{}
\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{nav}{\headcommand {\slideentry {0}{0}{1}{1/1}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {1}{1}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{2}{2/2}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {2}{2}}}
\@writefile{toc}{\beamer@sectionintoc {1}{What?}{3}{0}{1}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{2}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{2}}}
\@writefile{nav}{\headcommand {\sectionentry {1}{What?}{3}{What?}{0}}}
\@writefile{nav}{\headcommand {\slideentry {1}{0}{1}{3/3}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {3}{3}}}
\@writefile{toc}{\beamer@subsectionintoc {1}{1}{Latex}{4}{0}{1}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {3}{3}}}
\@writefile{nav}{\headcommand {\beamer@subsectionentry {0}{1}{1}{4}{Latex}}}
\@writefile{nav}{\headcommand {\slideentry {1}{1}{1}{4/4}{Latex}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {4}{4}}}
\@writefile{nav}{\headcommand {\slideentry {1}{1}{2}{5/5}{Latex}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {5}{5}}}
\@writefile{toc}{\beamer@subsectionintoc {1}{2}{Sage}{6}{0}{1}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {4}{5}}}
\@writefile{nav}{\headcommand {\beamer@subsectionentry {0}{1}{2}{6}{Sage}}}
\@writefile{nav}{\headcommand {\slideentry {1}{2}{1}{6/6}{Sage}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {6}{6}}}
\@writefile{toc}{\beamer@sectionintoc {2}{When?}{7}{0}{2}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {3}{6}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {6}{6}}}
\@writefile{nav}{\headcommand {\sectionentry {2}{When?}{7}{When?}{0}}}
\@writefile{nav}{\headcommand {\slideentry {2}{0}{1}{7/7}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {7}{7}}}
\@writefile{toc}{\beamer@sectionintoc {3}{How?}{8}{0}{3}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {7}{7}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {7}{7}}}
\@writefile{nav}{\headcommand {\sectionentry {3}{How?}{8}{How?}{0}}}
\@writefile{nav}{\headcommand {\slideentry {3}{0}{1}{8/8}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {8}{8}}}
\@writefile{nav}{\headcommand {\beamer@partpages {1}{8}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {8}{8}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {8}{8}}}
\@writefile{nav}{\headcommand {\beamer@documentpages {8}}}
\@writefile{nav}{\headcommand {\gdef \inserttotalframenumber {8}}}