I have no idea what modular symbols are, and wikipedia is not much
help beyond it having something to do with modular forms, though I
found an interesting book [1] on the subject.  But it seems to work in
8.4.beta7:

$ ./sage
┌────────────────────────────────────────────────────────────────────┐
│ SageMath version 8.4.beta7, Release Date: 2018-09-30               │
│ Type "notebook()" for the browser-based notebook interface.        │
│ Type "help()" for help.                                            │
└────────────────────────────────────────────────────────────────────┘
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ Warning: this is a prerelease version, and it may be unstable.     ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
sage: import sys; sys.version_info
sys.version_info(major=3, minor=6, micro=6, releaselevel='final', serial=0)
sage: M = ModularSymbols(23)
sage: M
Modular Symbols space of dimension 5 for Gamma_0(23) of weight 2 with
sign 0 over Rational Field
sage: M.basis()
((1,0), (1,17), (1,19), (1,20), (1,21))

This also works:

$ ./sage -t --long src/sage/modular/modsym/modsym.py
too many failed tests, not using stored timings
Running doctests with ID 2018-10-08-14-56-32-a2ba44a9.
Git branch: develop
Using --optional=dochtml,meataxe,memlimit,mpir,python2,sage
Doctesting 1 file.
sage -t --long src/sage/modular/modsym/modsym.py
    [80 tests, 2.39 s]
----------------------------------------------------------------------
All tests passed!
----------------------------------------------------------------------
Total time for all tests: 2.5 seconds
    cpu time: 2.4 seconds
    cumulative wall time: 2.4 seconds


Though some of the tests for other modules in sage.modular.modsym are
still failing.



[1] https://wstein.org/books/modform/modform/modular_symbols.html
On Mon, Oct 8, 2018 at 3:55 PM John Cremona <john.crem...@gmail.com> wrote:
>
> I'm not sure that many Sage user will try ModularSymbols() as their 4th Sage 
> command....!
>
> John
>
> On Mon, 8 Oct 2018 at 14:49, William Stein <wst...@gmail.com> wrote:
>>
>> Hi,
>>
>> If you want to play around with a copy of Sage built using Python3
>> instead of Python2 (so 'export SAGE_PYTHON3="was"') without having to
>> build or install anything, send me an email  (wst...@gmail.com) and
>> I'll add you to a CoCalc project [1] that has Sage built that way.
>>
>> See how long until it breaks for you on your favorite Sage commands.
>> For me, it broke pretty quickly:
>>
>> sage: print(2,3)
>> 2 3
>> sage: range(10)
>> range(0, 10)
>> sage: {'a', 'b'}
>> {'a', 'b'}
>> sage: M = ModularSymbols(23)
>> ---------------------------------------------------------------------------
>> TypeError                                 Traceback (most recent call last)
>> <ipython-input-6-b5f2062004dc> in <module>()
>> ----> 1 M = ModularSymbols(Integer(23))
>>
>> /home/user/sage/local/lib/python3.6/site-packages/sage/modular/modsym/modsym.py
>> in ModularSymbols(group, weight, sign, base_ring, use_cache,
>> custom_init)
>>     346     key = canonical_parameters(group, weight, sign, base_ring)
>>     347
>> --> 348     if use_cache and key in _cache:
>>     349          M = _cache[key]()
>>     350          if not (M is None): return M
>>
>> TypeError: unhashable type: 'Gamma0_class_with_category'
>>
>>  -- William
>>
>>
>> [1] 
>> https://cocalc.com/projects/d282680a-dda9-486c-87fe-d7f4331bbf53/files/README.md?session=default
>> --
>> William (http://wstein.org)
>>
>> --
>> You received this message because you are subscribed to the Google Groups 
>> "sage-devel" group.
>> To unsubscribe from this group and stop receiving emails from it, send an 
>> email to sage-devel+unsubscr...@googlegroups.com.
>> To post to this group, send email to sage-devel@googlegroups.com.
>> Visit this group at https://groups.google.com/group/sage-devel.
>> For more options, visit https://groups.google.com/d/optout.
>
> --
> You received this message because you are subscribed to the Google Groups 
> "sage-devel" group.
> To unsubscribe from this group and stop receiving emails from it, send an 
> email to sage-devel+unsubscr...@googlegroups.com.
> To post to this group, send email to sage-devel@googlegroups.com.
> Visit this group at https://groups.google.com/group/sage-devel.
> For more options, visit https://groups.google.com/d/optout.

-- 
You received this message because you are subscribed to the Google Groups 
"sage-devel" group.
To unsubscribe from this group and stop receiving emails from it, send an email 
to sage-devel+unsubscr...@googlegroups.com.
To post to this group, send email to sage-devel@googlegroups.com.
Visit this group at https://groups.google.com/group/sage-devel.
For more options, visit https://groups.google.com/d/optout.

Reply via email to