#18916: Use Kedlaya algorithm to count points on hyperelliptic curves
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       Reporter:  jpflori                        |        Owner:
           Type:  enhancement                    |       Status:  new
       Priority:  major                          |    Milestone:  sage-6.8
      Component:  number fields                  |   Resolution:
       Keywords:  hyperelliptic curves, matrix   |    Merged in:
  of Frobenius                                   |    Reviewers:
        Authors:                                 |  Work issues:
Report Upstream:  N/A                            |       Commit:
         Branch:                                 |     Stopgaps:
   Dependencies:                                 |
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Comment (by jpflori):

 Replying to [comment:8 kedlaya]:
 > I think I need some assistance with the PARI library interface here.
 >
 > I mentioned above that {{{nfhyperellpadicfrobenius}}} is not currently
 exposed. However, this function does appear in
 {{{src/sage/libs/pari/paridecl.pxd}}}. Does something else need to be done
 in order to make it visible as a method of a PARI object?
 The methods of PARI objecgt are in `gen.pxd/pyx`.
 You should add a method there calling the C function.
 Then in the hyperelliptic curve class, something like
 {{{
 pari(H.polynomial()).frobenius()
 }}}
 could be called.

 Maybe a better option is to add a method directly in Sage's hyperelliptic
 curve over finite field class.

 I'll have some free time in a few hours, I can have a look as well.

--
Ticket URL: <http://trac.sagemath.org/ticket/18916#comment:9>
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