#8723: Change to return type of E.multiplication_by_m(m,True)
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       Reporter:  cremona            |        Owner:  cremona
           Type:  defect             |       Status:  closed
       Priority:  minor              |    Milestone:  sage-6.1
      Component:  elliptic curves    |   Resolution:  fixed
       Keywords:                     |    Merged in:
        Authors:  Frédéric Chapoton  |    Reviewers:  John Cremona
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/cremona/ticket/8723              |  b8268eaa6c967c22fe13f08a13017f4e82ce8476
   Dependencies:                     |     Stopgaps:
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Comment (by cremona):

 I think the quick answer to the last question is "yes".  Apart from
 wanting to call the division poly functions with x's from different
 polynomial rings, which is frequently needed, there are places where
 instead of getting the polynomial and then substituting a value for x, one
 can compute the polynomials already evaluated, using the same recursion.
 So there has to be a different cache for different values of x.

 If your fix at #16129 does a better job while respecting this -- good!

--
Ticket URL: <http://trac.sagemath.org/ticket/8723#comment:34>
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