#11709: FareySymbol
-----------------------------+----------------------------------------------
Reporter: hmonien | Owner: craigcitro
Type: enhancement | 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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Changes (by hmonien):
* type: PLEASE CHANGE => enhancement
Old description:
> 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
New description:
FareySymbol is a *fast* implementation of the *KFarey* package for sage.
The major changes done by me:
- created an object oriented coherent class intereface[[BR]]- 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#comment:1>
Sage <http://www.sagemath.org>
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and MATLAB
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