#17912: Cleanup of modform_hecketriangle
-------------------------------------------------+-------------------------
       Reporter:  jj                             |        Owner:
           Type:  task                           |       Status:  new
       Priority:  minor                          |    Milestone:  sage-6.6
      Component:  modular forms                  |   Resolution:
       Keywords:  modular forms hecke triangle   |    Merged in:
  groups                                         |    Reviewers:
        Authors:  Jonas Jermann                  |  Work issues:
Report Upstream:  N/A                            |       Commit:
         Branch:                                 |     Stopgaps:
   Dependencies:  #17261, #17909                 |
-------------------------------------------------+-------------------------
Description changed by jj:

Old description:

> It's worthwhile to cleanup/refactor from time to time.
> This is the aim of this ticket (for modform_hecketriangle).
> Before doing so the two tickets #17261, #17909 should be
> considered/included.
>
> Cleanup / improvements:
> - Think about how original/new modular forms implementation is loaded
> - Move hecke_triangle* to sage.groups.matrix_gps
> - Remove everything from the __init__ and use the mechanism of the all.py
>   -> groups.matrix.HeckeTriangle(5) should work
> - Create a thematic tutorial from readme.py
> - Use native comparison in number fields once it is available
> - Improve documentation
>   -> improve introductions in general
>   -> Clarify the meaning of min_exp
> - Remove unnecessary cached_methods
> - Use _matrix_check
> - "Faster element of order in number fields. Right now it is a bit
> stupid, number field elements carry a
>   denominator and compute a gcd after each operation. In an order there
> is no need of denominator and
>   operations are much faster."
> - Faster matrices on number fields / orders
> - Refactor analytic type, constructions
>
> Bugfixing:
> - Make detection of modular forms by Fourier expansions more robust
>   -> construct*form, rationalize_series
>   -> in particular consider trivial cases and add more validation checks
>   -> see sagemathcloud demo for calculation of quasiweakforms based on
> coefficients
> - There are bugs with coordinate vectors for quasi forms!
> - There might be bugs with q_basis in some cases (see sagemathcloud demo)

New description:

 It's worthwhile to cleanup/refactor from time to time.
 This is the aim of this ticket (for modform_hecketriangle).
 Before doing so the two tickets #17261, #17909 should be
 considered/included.

 Cleanup / improvements:
 - Think about how original/new modular forms implementation is loaded
 - Move hecke_triangle* to sage.groups.matrix_gps
 - Remove everything from the __init__ and use the mechanism of the all.py
   - groups.matrix.HeckeTriangle(5) should work
 - Create a thematic tutorial from readme.py
 - Use native comparison in number fields once it is available
 - Improve documentation
   - improve introductions in general
   - Clarify the meaning of min_exp
 - Remove unnecessary cached_methods
 - Use _matrix_check
 - "Faster element of order in number fields. Right now it is a bit stupid,
 number field elements carry a
   denominator and compute a gcd after each operation. In an order there is
 no need of denominator and
   operations are much faster."
 - Faster matrices on number fields / orders
 - Refactor analytic type, constructions

 Bugfixing:
 - Make detection of modular forms by Fourier expansions more robust
   - construct*form, rationalize_series
   - in particular consider trivial cases and add more validation checks
   - see sagemathcloud demo for calculation of quasiweakforms based on
 coefficients
 - There are bugs with coordinate vectors for quasi forms!
 - There might be bugs with q_basis in some cases (see sagemathcloud demo)

--

--
Ticket URL: <http://trac.sagemath.org/ticket/17912#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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