#12866: Bug in Sage's monodromy pairing on elements of Brandt modules
-------------------------------------+-------------------------------------
       Reporter:  aly.deines         |        Owner:  craigcitro
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.4
      Component:  modular forms      |   Resolution:
       Keywords:  Brandt module,     |    Merged in:
  monodromy pairing                  |    Reviewers:
        Authors:                     |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  cede6e19f33191c6542490a67adb729564b6c627
  u/tornaria/ticket/12866            |     Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------
Changes (by tornaria):

 * status:  new => needs_review
 * commit:   => cede6e19f33191c6542490a67adb729564b6c627
 * branch:  u/aly.deines/ticket/12866 => u/tornaria/ticket/12866


Comment:

 I rebased Aly's patch to sage-6.4.beta1. I added a series of commits to
 fix a typo in her patch, add some explanation of the computation that is
 being done, and then an asymptotic improvement so that the monodromy
 pairing can be computed in O(n) rather than O(n^2) ideal computations.
 ----
 New commits:
 
||[http://git.sagemath.org/sage.git/commit/?id=2f5677047027819cc4362c4fdde124ee6efeadfd
 2f56770]||{{{Fixed Brandt module monodromy weights.}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=1891ad38cdc511a629f957a7f15cd4da380414ba
 1891ad3]||{{{Fix Aly patch for Brandt module monodromy weights.}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=1fead1d6bbf4cf31bdc5b22029810ace83a70427
 1fead1d]||{{{Brandt modules: extend _ideal_products() method}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=cede6e19f33191c6542490a67adb729564b6c627
 cede6e1]||{{{Trac 12866: improve asymptotic of monodromy_weights()}}}||

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Ticket URL: <http://trac.sagemath.org/ticket/12866#comment:6>
Sage <http://www.sagemath.org>
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