#10155: Implementation of the Cyclic Sieving Phenomenon
-----------------------------+----------------------------------------------
   Reporter:  stumpc5        |          Owner:                           
       Type:  enhancement    |         Status:  needs_work               
   Priority:  major          |      Milestone:  sage-4.7.2               
  Component:  combinatorics  |       Keywords:  Cyclic Sieving Phenomenon
Work_issues:                 |       Upstream:  N/A                      
   Reviewer:                 |         Author:  Christian Stump          
     Merged:                 |   Dependencies:                           
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Changes (by chapoton):

  * status:  needs_review => needs_work


Comment:

 This seems good enough. I will soon give a positive review if minor
 corrections are made.

 1) at start of the patch, before AUTHORS, there is a broken (not complete)
 sentence.

 2) I am not happy with the name of the procedures.

 What about CyclicSieving_find and CyclicSieving_test ?

 or CyclicSievingPolynomial and CyclicSievingCheck ?

 or some mix of that..

 3) You could use R.gen() instead of R.gens()[0] (at least twice)

 4) in CyclicSieving, you can use keys to compute n, instead of calling
 .keys() again

 5) in orbit_decomposition, there misses the OUTPUT: a list of lists, the
 orbits under cyc_act acting on L

 6) why do you need to import QQ ? because of q-analogues ? coercion may
 work with ZZ, maybe..

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10155#comment:9>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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