#11709: FareySymbol
----------------------------------+-----------------------------------------
Reporter: hmonien | Owner: craigcitro
Type: enhancement | Status: positive_review
Priority: major | Milestone: sage-5.0
Component: modular forms | Resolution:
Keywords: Farey symbol | Work issues:
Report Upstream: N/A | Reviewers: Martin Raum, Leif
Leonhardy, David Loeffler
Authors: Hartmut Monien | Merged in:
Dependencies: #5048, #11601 | Stopgaps:
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Description changed by davidloeffler:
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 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
> 1. [attachment:trac-11709_farey_symbol-sage-5.0-without_png.patch]
> 2. [attachment:trac_11709-review.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
1. [attachment:trac-11709_farey_symbol-sage-5.0-without_png.patch]
2. [attachment:trac_11709-review.patch]
When this ticket is merged, ticket #11875 can be closed as fixed.
--
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11709#comment:48>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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