#11709: FareySymbol
-----------------------------+----------------------------------------------
Reporter: hmonien | Owner: craigcitro
Type: enhancement | Status: positive_review
Priority: major | Milestone: sage-4.7.2
Component: modular forms | Keywords: Farey symbol
Work_issues: | Upstream: N/A
Reviewer: Martin Raum | Author: Hartmut Monien
Merged: | Dependencies:
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Changes (by leif):
* dependencies: None =>
Old description:
> [[BR]]
> 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
>
> '''Apply:'''
> 1. [attachment:trac-11709_farey_symbol-v6.patch]
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 interface
* implemented a 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
}}}
----
Apply only
1. [attachment:trac-11709_farey_symbol-v6.patch]
to the Sage library.
--
Comment:
Please leave the ''Dependencies'' field empty if the ticket doesn't depend
on any other.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11709#comment:16>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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