#9504: Add support for toric sublattices
----------------------------------+-----------------------------------------
   Reporter:  novoselt            |       Owner:  mhampton    
       Type:  enhancement         |      Status:  needs_review
   Priority:  major               |   Milestone:  sage-4.5.3  
  Component:  geometry            |    Keywords:              
     Author:  Andrey Novoseltsev  |    Upstream:  N/A         
   Reviewer:  Volker Braun        |      Merged:              
Work_issues:  quotient lattices   |  
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Changes (by vbraun):

  * reviewer:  => Volker Braun
  * milestone:  sage-4.5.2 => sage-4.5.3


Old description:

> Following discussion of #9296, I am rewriting toric lattices to allow
> construction of sublattices.
>
> Apply after #9245 and #9502.

New description:

 Following discussion of #9296, I am rewriting toric lattices to allow
 construction of sublattices.

 See the tracker bug #9604 for details on dependencies.

--

Comment:

 In the patch below I:
   * changed the `_repr_()` output as per my previous comment
   * allow coercion from quotient lattice into a new `ToricLattice`, see
 the changed docstring of `ToricLattice.__call__`.
   * some pickling fixes
   * added a method `ToricLattice_quotient._make_generator_positive_on()`
 to change the sign of a generator as required for the lattice computations
 later.
 With these changes, I'm ready to give it a positive review. Let me know if
 you agree :-)

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9504#comment:13>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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