\BOOKMARK [1][-]{section.1}{Motivation and main results}{}% 1
\BOOKMARK [1][-]{section.2}{Power series and addition sequences}{}% 2
\BOOKMARK [2][-]{subsection.2.1}{Dense exponent sequences}{section.2}% 3
\BOOKMARK [2][-]{subsection.2.2}{Sparse exponent sequences and addition sequences}{section.2}% 4
\BOOKMARK [2][-]{subsection.2.3}{Cost of an addition sequence}{section.2}% 5
\BOOKMARK [1][-]{section.3}{Addition sequences for the Dedekind eta function}{}% 6
\BOOKMARK [2][-]{subsection.3.1}{One squaring and one multiplication}{section.3}% 7
\BOOKMARK [2][-]{subsection.3.2}{One multiplication}{section.3}% 8
\BOOKMARK [2][-]{subsection.3.3}{One squaring}{section.3}% 9
\BOOKMARK [2][-]{subsection.3.4}{One cube}{section.3}% 10
\BOOKMARK [1][-]{section.4}{Addition sequences for theta-functions}{}% 11
\BOOKMARK [2][-]{subsection.4.1}{Trigonal numbers and theta2}{section.4}% 12
\BOOKMARK [2][-]{subsection.4.2}{Squares and theta0 and theta1}{section.4}% 13
\BOOKMARK [2][-]{subsection.4.3}{Computing theta functions simultaneously}{section.4}% 14
\BOOKMARK [1][-]{section.5}{Baby-step giant-step algorithm}{}% 15
\BOOKMARK [2][-]{subsection.5.1}{Modular values of quadratic polynomials}{section.5}% 16
\BOOKMARK [3][-]{subsubsection.5.1.1}{Squares}{subsection.5.1}% 17
\BOOKMARK [3][-]{subsubsection.5.1.2}{Trigonal numbers}{subsection.5.1}% 18
\BOOKMARK [3][-]{subsubsection.5.1.3}{Generalized pentagonal numbers}{subsection.5.1}% 19
\BOOKMARK [2][-]{subsection.5.2}{Implementation}{section.5}% 20
\BOOKMARK [1][-]{section.6}{Benchmarks}{}% 21
\BOOKMARK [1][-]{section.7}{Acknowledgments}{}% 22