#16222: Faster exactification using numeric minpoly
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       Reporter:  gagern             |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.4
      Component:  number fields      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Martin von Gagern  |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/gagern/ticket/16222              |  96942f09ea8a9cddf2b2dc8fece352935ddfe3b2
   Dependencies:                     |     Stopgaps:
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Changes (by gagern):

 * status:  needs_work => needs_review


Comment:

 Rebased to 6.6.rc2 and added public interface `z.exactify(symbolic=True)`.

 I considered “numeric” instead of “symbolic”, but I at least tend to
 associate “numeric” with “inexact”, so I felt that term might be more
 confusing. Also considered “algoiritm='symbolic'” but I think in the long
 run we might have various alternatives which could be tried one after the
 other, so a flag to enable or disable each sounds more useful. The same
 holds for a new method as opposed to an argument to `exactify`. So that's
 why I chose the interface the way I did.

 Now that my new code is not called by default, it shouldn't have any
 adverse effects on other parts of the code, which might make this easier
 to review. I hope this can be merged, to enable some evaluation in
 preparation for #18122 which I filed for automatically choosing between
 algorithms. I fear that might be hard to get right.

--
Ticket URL: <http://trac.sagemath.org/ticket/16222#comment:20>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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