#9788: The coordinates appearing in the output of variety(L) should be easier to
access
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       Reporter:  mmezzarobba        |        Owner:  malb
           Type:  enhancement        |       Status:  needs_review
       Priority:  minor              |    Milestone:  sage-6.4
      Component:  commutative        |   Resolution:
  algebra                            |    Merged in:
       Keywords:                     |    Reviewers:
        Authors:  Martin von Gagern  |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  37ec7a5f3d2a43dbbcaa54aac4bed8a803e7e4b8
  u/gagern/ticket/9788               |     Stopgaps:
   Dependencies:                     |
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Changes (by {'newvalue': u'Martin von Gagern', 'oldvalue': ''}):

 * status:  new => needs_review
 * commit:   => 37ec7a5f3d2a43dbbcaa54aac4bed8a803e7e4b8
 * author:   => Martin von Gagern


Comment:

 OK, here is an implementation for this.

 The object returned from the `variety()` call no longer is a sequence,
 since converting to sequence will cause some argument misalignment and
 therefore make all solutions come up as empty dicts. One alternative would
 be making the key conversion function a named argument, perhaps even
 guessing it from the type of the keys provided so far. Another alternative
 would be introducing a category for conversion dicts, one for every
 possible conversion function. But I doubt either of these is neccessary,
 since I doubt anyone really relies on receiving a Sequence out of this.

 Should `BooleanPolynomialIdeal.variety()` in `pbori.pyx` behave the same?
 Should other code make use of this as well, e.g. the symbolic `solve`
 function with `solutions_dict=True`? Should these things be handled in
 separate tickets?
 ----
 New commits:
 
||[http://git.sagemath.org/sage.git/commit/?id=37ec7a5f3d2a43dbbcaa54aac4bed8a803e7e4b8
 37ec7a5]||{{{Add KeyConvertingDict and use it for the result of
 variety().}}}||

--
Ticket URL: <http://trac.sagemath.org/ticket/9788#comment:9>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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