\indexentry {modular group|hyperpage}{9}
\indexentry {weakly modular function|hyperpage}{9}
\indexentry {meromorphic at $\infty $|hyperpage}{10}
\indexentry {holomorphic at $\infty $|hyperpage}{10}
\indexentry {modular function|hyperpage}{10}
\indexentry {modular form|hyperpage}{10}
\indexentry {modular form|hyperpage}{10}
\indexentry {cusp form|hyperpage}{10}
\indexentry {weight~$k$ Eisenstein series|hyperpage}{11}
\indexentry {Bernoulli numbers|hyperpage}{12}
\indexentry {normalized Eisenstein series|hyperpage}{12}
\indexentry {algorithm!Basis|hyperpage}{14}
\indexentry {algorithm!Hecke Operator|hyperpage}{20}
\indexentry {Dirichlet character|hyperpage}{23}
\indexentry {algorithm!Minimal generator for $(\Z /p^r\Z )^*$|hyperpage}{24}
\indexentry {algorithm!Evaluate $\eps $|hyperpage}{26}
\indexentry {algorithm!Baby-Step Giant Step Discrete Log|hyperpage}{26}
\indexentry {algorithm!Values of $\eps $|hyperpage}{29}
\indexentry {algorithm!Kronecker Symbol|hyperpage}{29}
\indexentry {algorithm!Order of Character|hyperpage}{30}
\indexentry {algorithm!Factorization of Character|hyperpage}{31}
\indexentry {conductor|hyperpage}{31}
\indexentry {primitive|hyperpage}{31}
\indexentry {primitive character associated to|hyperpage}{31}
\indexentry {algorithm!Conductor|hyperpage}{31}
\indexentry {algorithm!Restriction of Character|hyperpage}{32}
\indexentry {algorithm!Extension of Character|hyperpage}{33}
\indexentry {algorithm!Galois Orbit|hyperpage}{33}
\indexentry {holomorphic|hyperpage}{37}
\indexentry {congruence subgroup|hyperpage}{38}
\indexentry {level|hyperpage}{38}
\indexentry {width of the cusp|hyperpage}{38}
\indexentry {algorithm!Width of Cusp|hyperpage}{38}
\indexentry {diamond-bracket operators|hyperpage}{39}
\indexentry {has character|hyperpage}{40}
\indexentry {generalized Bernoulli numbers|hyperpage}{40}
\indexentry {algorithm!Bernoulli Numbers|hyperpage}{40}
\indexentry {algorithm!Enumerating Eisenstein Series|hyperpage}{43}
\indexentry {algorithm!Compute Sum over $A_4(N)$|hyperpage}{52}
\indexentry {row echelon form|hyperpage}{55}
\indexentry {reduced row echelon form|hyperpage}{55}
\indexentry {pivot column|hyperpage}{55}
\indexentry {algorithm!Gauss Elimination|hyperpage}{56}
\indexentry {algorithm!Rational Reconstruction|hyperpage}{58}
\indexentry {height|hyperpage}{59}
\indexentry {algorithm!Modular Algorithm for Computing Echelon Form|hyperpage}{59}
\indexentry {Magma|hyperpage}{61}
\indexentry {Magma|hyperpage}{61}
\indexentry {Magma|hyperpage}{63}
\indexentry {Magma|hyperpage}{63}
\indexentry {left action of $G$|hyperpage}{66}
\indexentry {modular symbols over a ring $R$|hyperpage}{67}
\indexentry {Manin symbol|hyperpage}{68}
\indexentry {Hecke algebra|hyperpage}{72}
\indexentry {Hecke operator|hyperpage}{72}
\indexentry {satisfies condition $C_n$|hyperpage}{75}
\indexentry {boundary map|hyperpage}{78}
\indexentry {cuspidal modular symbols|hyperpage}{78}
\indexentry {antiholomorphic|hyperpage}{78}
\indexentry {critical integers|hyperpage}{79}
\indexentry {Hecke operators|hyperpage}{79}
\indexentry {star involution|hyperpage}{82}
\indexentry {algorithm!Reduce|hyperpage}{83}
\indexentry {algorithm!List $\P ^1(\Z /N\Z )$|hyperpage}{85}
\indexentry {algorithm!Compute Presentation|hyperpage}{94}
\indexentry {algorithm!Quotient By 2-Term Relations|hyperpage}{95}
\indexentry {newform|hyperpage}{102}
\indexentry {algorithm!Merel's Algorithm for Computing a Basis|hyperpage}{103}
\indexentry {rational Jordan form|hyperpage}{105}
\indexentry {algorithm!Berlekamp-Massey|hyperpage}{106}
\indexentry {algorithm!Decomposition Using Kernels|hyperpage}{106}
\indexentry {algorithm!Decomposition Algorithm II|hyperpage}{107}
\indexentry {algorithm!System of Eigenvalues|hyperpage}{108}
\indexentry {algorithm!Complex Period Mapping|hyperpage}{111}
\indexentry {algorithm!|hyperpage}{111}
\indexentry {algorithm!The BSD Ratio|hyperpage}{113}
\indexentry {algorithm!Irreducible|hyperpage}{115}
\indexentry {algorithm!Serre Weight|hyperpage}{115}
\indexentry {algorithm!Serre Level|hyperpage}{116}
\indexentry {algorithm!Newforms Attached to a Representation|hyperpage}{116}