#18021: gyration orbits method for AlternatingSignMatrix and add optional 
parameter
for gyration method.
-------------------------------------+-------------------------------------
       Reporter:  egunawan           |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.6
      Component:  combinatorics      |   Resolution:
       Keywords:  days64, gyration,  |    Merged in:
  alternating sign matrix            |    Reviewers:  tscrim,
        Authors:                     |  jessicapalencia
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/egunawan/ticket/18021            |  52705536f95a497f1573665374c75b69f5d9037f
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by egunawan):

 * status:  new => needs_review
 * commit:   => 52705536f95a497f1573665374c75b69f5d9037f
 * branch:   => u/egunawan/ticket/18021
 * reviewer:   => tscrim, jessicapalencia


Old description:

> To see the work in progress, do "git pull trac u/egunawan/gyrationorbit"
>
> In class :class:`AlternatingSignMatrix` (and later FullyPackedLoop):
> * add a method :meth:`obtain_gyration_orbit` for returning the orbit of
> self.
>
> In class :class:`AlternatingSignMatrices`:
> * add a method :meth:`gyration_orbits` for returning the list of orbits
> of alternating sign matrices of order n.
> * add a method :meth:`gyration_orbit_size` for returning the sizes of
> orbits of alternating sign matrices of order n.
>
> For method :meth:`AlternatingSignMatrix.gyration`
> * optional parameter k (default k=1) to indicate how many times to gyrate
> on the ASM
> * add gyration method to :class:`FullyPackedLoop` ?
>
> See Ticket #17988 (implementing FullyPackedLoop class)
>
> We are implementing the code that Travis Scrimshaw gave us.

New description:

 (To see the work in progress in between pushing to branch
 "u/egunawan/ticket/18021", do "git pull trac u/egunawan/gyrationorbit")

 In class :class:`AlternatingSignMatrix` (future: in class
 FullyPackedLoop):
 * add a method :meth:`obtain_gyration_orbit` for returning the orbit of
 self.

 In class :class:`AlternatingSignMatrices`:
 * add a method :meth:`gyration_orbits` for returning the list of orbits of
 alternating sign matrices of order n.
 * add a method :meth:`gyration_orbit_size` for returning the sizes of
 orbits of alternating sign matrices of order n.

 For method :meth:`AlternatingSignMatrix.gyration`
 * optional parameter k (default k=1) to indicate how many times to gyrate
 on the ASM
 (future: call gyration method from :class:`FullyPackedLoop` )

 See Ticket #17988 (implementing FullyPackedLoop class)

 We are implementing the code that Travis Scrimshaw gave us.

--

Comment:

 Reviewers: Please search for [TODO] where I add comments/questions.
 ----
 New commits:
 
||[http://git.sagemath.org/sage.git/commit/?id=be50f3f3b7bde2def3a93cdef22d53101c95a5f4
 be50f3f]||{{{Add methods gyration_orbits and gyration_orbit_sizes to class
 AlternatingSignMatrices}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=26264f5a0810ebb388897f941aa3bc6176338646
 26264f5]||{{{Add obtain_gyration_orbit method to AlternatingSignMatrix
 class}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=52705536f95a497f1573665374c75b69f5d9037f
 5270553]||{{{Add optional parameter count to method
 AlternatingSignMatrix.gyration}}}||

--
Ticket URL: <http://trac.sagemath.org/ticket/18021#comment:3>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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