#11709: FareySymbol
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Reporter: hmonien | Owner: craigcitro
Type: PLEASE CHANGE | Status: new
Priority: major | Milestone: sage-4.7.2
Component: modular forms | Keywords: Farey symbol
Work_issues: | Upstream: N/A
Reviewer: | Author: Hartmut Monien
Merged: | Dependencies: None
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FareySymbol is a *fast* implementation of the *KFarey* package for sage.
The major changes done by me:
- created an object oriented coherent class intereface
- implemented c++ module with pyx interface
FareySymbol allows the calculation of properties of a general arithmetic
subgroup.
The use with the congruence subgroups Gamma0, Gamma1, GammaH is trivial.
For a group not implemented in sage the "user" has to define a class with
a __contains__ (self, M) attribute which returns true or false depending
on M being in the group or not.
The calculation of the generators, coset representation and genus of
Gamma(32)
takes 62.5 seconds on my laptop. Try this with Magma ... .
sage: time FareySymbol(Gamma(32))
FareySymbol(Congruence Subgroup Gamma(32))
Time: CPU 62.50 s, Wall: 62.52 s
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11709>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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