#15296: LinearMatroid can't use sets for fundamentals
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   Reporter:  Stefan          |            Owner:
       Type:  defect          |           Status:  new
   Priority:  major           |        Milestone:  sage-5.13
  Component:  matroid theory  |         Keywords:
  Merged in:                  |          Authors:
  Reviewers:                  |  Report Upstream:  N/A
Work issues:                  |           Branch:
     Commit:                  |     Dependencies:
   Stopgaps:                  |
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 Several methods in LinearMatroid have an option {{{fundamentals}}}.
 Internally, this gets used as a set, and we test things like {{{p in
 fundamentals}}}. Even though both {{{p}}} and the elements of
 {{{fundamentals}}} come from the same ring or field, it is not guaranteed
 (and sometimes false) that {{{p == q}}} implies {{{hash(p) == hash(q)}}}.

 The default behavior of these methods should therefore be to test for
 equality with each member of {{{fundamentals}}}, instead of relying on the
 {{{in}}} keyword. An optional argument (such as
 {{{use_fast_fundamental_test}}} with default option False can be used to
 speed up computations when appropriate.

--
Ticket URL: <http://trac.sagemath.org/ticket/15296>
Sage <http://www.sagemath.org>
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