#11601 closed enhancement (fixed)
Generic congruence subgroups
Reported by: | davidloeffler | Owned by: | craigcitro |
---|---|---|---|
Priority: | major | Milestone: | sage-5.0 |
Component: | modular forms | Keywords: | modular subgroup congruence sd35 |
Cc: | Merged in: | sage-5.0.beta1 | |
Authors: | David Loeffler | Reviewers: | Johan Bosman |
Report Upstream: | N/A | Work issues: | |
Branch: | Commit: | ||
Dependencies: | #10335, #11422, #11598, #10453, #5048 | Stopgaps: |
Description (last modified by )
This ticket adds functionality to work with arbitrary congruence subgroups of the modular group (specified by a level N and a subgroup of the finite group SL(2, Z / N Z)
). These support all the basic functionality one would expect: computation of index, genus, elliptic points, cusps, etc. There is also a facility to compute the congruence closure of a (possibly noncongruence) subgroup.
Some "rationalisation" is also included: e.g. one can no longer create Gamma1(1)
or GammaH(11, [2])
, which previously existed as less-functional duplicates of SL2Z
and Gamma0(11)
. (They previously played a role in "remembering" where certain degeneracy maps would go, but they didn't do this very well -- which was the cause of the issue at #10453 -- and the new more robust approach introduced at #10453 means we can get rid of them at last.)
Part of a series of tickets: #10335 - #11422 - #11598 - #10453 - #5048 - this one - #10546.
Apply 11601.4.patch on top of #5048. Once this is merged, #12001 can be closed as fixed.
Attachments (4)
Change History (17)
Changed 11 years ago by
comment:1 Changed 11 years ago by
- Status changed from new to needs_review
comment:2 Changed 11 years ago by
- Description modified (diff)
comment:3 Changed 11 years ago by
- Dependencies changed from #10335, #11422, #11598, #5048, #10453 to #10335, #11422, #11598, #10453, #5048
- Description modified (diff)
comment:4 Changed 11 years ago by
- Status changed from needs_review to needs_work
- Work issues set to rebase
I tried to apply trac_11601-congroups.2.patch to 4.8.alpha4 + #5048, but it failed.
Changed 11 years ago by
comment:5 Changed 11 years ago by
- Work issues changed from rebase to docbuild
I'm getting a warning when building the documentation, in is_CongruenceSubgroup
in congroup_generic.py:
Note that this may be False even if `x` really is a congruence subgroup -- it tests whether `x` is "obviously" congruence, i.e.~whether it has a congruence subgroup datatype. To test whether or not an arithmetic subgroup of `SL(2, \ZZ)` is congruence, use the ``is_congruence()` method instead.
I guess a quote is missing at the end of is_congruence().
Changed 11 years ago by
comment:6 Changed 11 years ago by
- Description modified (diff)
- Status changed from needs_work to positive_review
comment:7 Changed 11 years ago by
- Work issues docbuild deleted
comment:8 Changed 11 years ago by
- Reviewers set to Johan Bosman
comment:9 Changed 11 years ago by
- Milestone changed from sage-4.8 to sage-5.0
comment:10 Changed 11 years ago by
- Description modified (diff)
comment:11 Changed 11 years ago by
- Keywords sd35 added
comment:12 Changed 11 years ago by
- Merged in set to sage-5.0.beta1
- Resolution set to fixed
- Status changed from positive_review to closed
comment:13 Changed 10 years ago by
Apply 11601.4.patch
(for the patchbot, so it knows the prerequisites for 11709)
Patch against 4.7.1.alpha4 + dependencies as in ticket description