#17299: nasty bug in modular symbols, which is likely very easy to fix.
-------------------------------------+-------------------------------------
       Reporter:  was                |        Owner:  haochen_uw
           Type:  defect             |       Status:  new
       Priority:  major              |    Milestone:  sage-6.4
      Component:  modular forms      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:                     |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/haochen_uw/latexrepbug           |  35081a653922bc15298651161d307d8e9700bb80
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Description changed by was:

Old description:

> I almost just got in trouble doing some research due to the following
> rather serious bug in modular symbols:
>
> {{{
> /scratch/wstein/sage-6.4.rc1$ ./sage
> ┌────────────────────────────────────────────────────────────────────┐
> │ Sage Version 6.4.rc1, Release Date: 2014-11-01                     │
> │ Type "notebook()" for the browser-based notebook interface.        │
> │ Type "help()" for help.                                            │
> └───────────────────────────────────────────────────sage: x =
> EllipticCurve('64a1').modular_symbol_space(sign=1).basis()[0]
> sage: x.modular_symbol_rep()
> {-1/3, -1/4} - {1/5, 1/4}
> sage: latex(x.modular_symbol_rep())
> \left\{\frac{-1}{3}, \frac{-1}{4}\right\}
> }}}
>
> Notice that the latex representation completely omits the second summand.
> I was using show(x) to typeset output nicely, and getting massively
> misled.

New description:

 I almost just got in trouble doing some research due to the following
 rather serious bug in modular symbols:

 {{{
 /scratch/wstein/sage-6.4.rc1$ ./sage
 │ Sage Version 6.4.rc1, Release Date: 2014-11-01                     │

 sage: x = EllipticCurve('64a1').modular_symbol_space(sign=1).basis()[0]
 sage: x.modular_symbol_rep()
 {-1/3, -1/4} - {1/5, 1/4}
 sage: latex(x.modular_symbol_rep())
 \left\{\frac{-1}{3}, \frac{-1}{4}\right\}
 }}}

 Notice that the latex representation completely omits the second summand.
 I was using show(x) to typeset output nicely, and getting massively
 misled.

--

--
Ticket URL: <http://trac.sagemath.org/ticket/17299#comment:3>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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