#18940: Polynomials ignore the step argument in __getitem__
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       Reporter:  pbruin             |        Owner:
           Type:  defect             |       Status:  needs_info
       Priority:  major              |    Milestone:  sage-6.10
      Component:  algebra            |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Peter Bruin        |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/pbruin/18940-getitem_step        |  1c56779b3140d12fbe5d0973cdcad0ac9dbb8054
   Dependencies:  #19409             |     Stopgaps:
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Comment (by jdemeyer):

 A new idea, let's call it '''double slicing'''. The argument to
 `__getitem__` can be a pair of slices `i, j`, where the slice `i` is used
 to define the coefficients and the second slice `j` is used to define the
 exponents. It would allow for example:
 {{{
 sage: pol = PolynomialRing(QQ, 'x')(range(10))
 sage: pol[:, ::2]
 9*x^18 + 8*x^16 + 7*x^14 + 6*x^12 + 5*x^10 + 4*x^8 + 3*x^6 + 2*x^4 + x^2
 sage: pol[:5, 100:]
 4*x^104 + 3*x^103 + 2*x^102 + x^101
 }}}

 We could define shorthands `pol[i]` equivalent to `pol[i, i]` for degree-
 keeping slicing and `pol[i,]` equivalent to `pol[i, :]` for degree-
 reducing slicing.

 This would be very general and cover all possible use-cases. The question
 is: is it over-engineered? Do we really need this?

--
Ticket URL: <http://trac.sagemath.org/ticket/18940#comment:40>
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