#18447: Implement dual-quasi-Schur basis in NCSF
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       Reporter:  zabrocki           |        Owner:
           Type:  enhancement        |       Status:  new
       Priority:  minor              |    Milestone:  sage-6.7
      Component:  combinatorics      |   Resolution:
       Keywords:  ncsf, qsym,        |    Merged in:
  quasiSchur                         |    Reviewers:
        Authors:                     |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  d30fc7276c2a0ded086c4f1d18a7a94dec97b57b
  public/combinat/zabrocki/ncsf_quasi_schur_basis/18447|     Stopgaps:
   Dependencies:  #18415             |
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Comment (by zabrocki):

 I did another timing test on that shows that the improvement is less
 impressive if we need to compute a large example from the `dQS` basis to
 another basis.  I computed
 {{{timeit('dQS[2,2,2,2].coproduct()',number=1,repeat=1)}}} and on branch
 8cbcc9b it took 53 seconds but on the current branch it takes 52 seconds.
 I also checked on f7162f and it took 51 seconds.  It might be that we want
 to continue to use the to ribbon basis from the QS transition matrices.
 I'll see if I can continue to improve the current branch.

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Ticket URL: <http://trac.sagemath.org/ticket/18447#comment:8>
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