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algebras
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all : nodoctest
all.py -- much of sage is imported into this module, so you don't
have to import everything individually.
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ellcurve
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ext
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functions
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groups
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interface
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linalg : Classes for matrix algebra.
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misc
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db : Saving SAGE objects to a compressed database
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errors : Custom exception handling classes
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interpreter : Preparses input from the interpreter
Modified input.
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misc : Miscellaneous functions for timing, verbosity, etc.
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proof : Whether or not computations are provably correct.
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search
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mode
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modular
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abvar
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congroup : Congruence subgroups of SL_2(Z)
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cusps
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dims : Dimensions of spaces of modular forms
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dirichlet : Dirichlet characters
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hecke : Hecke algebras and modules
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modform
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modform : Modular Forms
DESIGN NOTES:
Our implementation depends heavily on the fact that we have good
dimension formulas (see dims.py) for spaces of modular forms with
character, and new subspaces, so that we don't have to compute
q-expansions for the whole space in order to compute q-expansions /
elements / and dimensions of certain subspaces.
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modsym
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ambient : Ambient spaces of modular symbols.
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boundary_symbol : Boundary modular symbols.
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element : A single element of an ambient space of modular symbols.
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g1list : List of coset represenatives for Gamma_1(N) in SL_2(Z).
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heilbronn
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manin_symbols : Manin symbols
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modsym : Creating modular symbols spaces
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p1list
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relation_matrix : Relations matrices for modular symbols.
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space : nodoctest Generic spaces of modular symbols.
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subspace : Ambient spaces of modular symbols with a nontrivial Dirichlet
character.
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ssmod
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ssmod : The module of supersingular points
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pari
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plot
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graph : Package for drawing graphs related to elliptic curves, etc.
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profile
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rings
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structure
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function : Classes that define maps and homomorphisms
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gens : Base class for objects with generators
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tables
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all : Tables.
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compressed_storage : Compression for ZODB.
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conv
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db : Generic database that uses ZODB.
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elliptic_curves : Table of elliptic curves of conductor <= 30000.
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gamma0wt2 : Table of arithmetic information about modular forms of weight 2 on
Gamma_0(N) for N <= 10000.
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jones : nodoctest
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odlyzko : Tables of zeros of the Riemann-Zeta function.
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tables : Access to external tables of modular forms and elliptic curves
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version
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