#15265: Additional functionality for Farey symbols
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       Reporter:  hmonien                        |        Owner:  hmonien
           Type:  enhancement                    |       Status:  new
       Priority:  major                          |    Milestone:  sage-5.13
      Component:  modular forms                  |   Resolution:
       Keywords:  Farey symbol, arithmetic       |    Merged in:
  subgroups                                      |    Reviewers:
        Authors:  Hartmut Monien                 |  Work issues:
Report Upstream:  N/A                            |       Commit:
         Branch:                                 |     Stopgaps:
   Dependencies:                                 |
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Description changed by hmonien:

Old description:

> The additional functionality included in this patch are:
>
> - various possibilities for the tessellation of the fundamental domain
> (Dedekind, coset, none)
> - membership test via the Lang, Lim, Tan algorithm
> - improved LaTeX output (via xymatrix)
> - reduction to cusp
> - identify cusp class
>
> There are a number of special cases where the straightforward
> implementation of the LLT algorithm fails.
> More testing is required.

New description:

 The additional functionality included in this patch are:

 - various possibilities for the tessellation of the fundamental domain
 (Dedekind, coset, none)
 - membership test via the Lang, Lim, Tan algorithm
 - improved LaTeX output (via xymatrix)
 - reduction to cusp
 - identify cusp class

 Added tests for LLT algorithm and reduction to cusp.

--

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Ticket URL: <http://trac.sagemath.org/ticket/15265#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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