#17912: Cleanup of modform_hecketriangle
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Reporter: jj | Owner:
Type: task | Status: new
Priority: minor | Milestone: sage-6.6
Component: modular | Keywords: modular forms hecke triangle
forms | groups
Merged in: | Authors: Jonas Jermann
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies: #17261, #17909
Stopgaps: |
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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>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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