#15654: Extremely slow PARI discriminants
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   Reporter:  jdemeyer     |            Owner:
       Type:  defect       |           Status:  new
   Priority:  critical     |        Milestone:  sage-6.1
  Component:  performance  |         Keywords:
  Merged in:               |          Authors:
  Reviewers:               |  Report Upstream:  N/A
Work issues:               |           Branch:
     Commit:               |     Dependencies:
   Stopgaps:               |
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 This is weird and bad:
 {{{
 sage: x = polygen(ZpFM(3,10))
 sage: p = ((x-1)^50 + x)._pari_init_()
 sage: %time pari(p).poldisc()
 CPU times: user 59.20 s, sys: 0.01 s, total: 59.21 s
 Wall time: 59.35 s
 2*3 + 3^4 + 2*3^6 + 3^7 + 2*3^8 + 2*3^9 + O(3^10)
 sage: %time gp(p).poldisc()
 CPU times: user 0.00 s, sys: 0.01 s, total: 0.01 s
 Wall time: 0.16 s
 2*3 + 3^4 + 2*3^6 + 3^7 + 2*3^8 + 2*3^9 + O(3^10)
 }}}

 The problem isn't PARI itself (given the speed of `gp`), it's somehow the
 PARI interface in Sage.

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Ticket URL: <http://trac.sagemath.org/ticket/15654>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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