#19775: normalization in Pynac buggy
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   Reporter:  rws        |            Owner:
       Type:  defect     |           Status:  new
   Priority:  major      |        Milestone:  sage-7.0
  Component:  symbolics  |         Keywords:
  Merged in:             |          Authors:
  Reviewers:             |  Report Upstream:  N/A
Work issues:             |           Branch:
     Commit:             |     Dependencies:
   Stopgaps:             |
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 from https://groups.google.com/forum/?hl=en#!topic/sage-devel/awa0lNGJugo
 {{{
 sage: a,b,c,d,e=var('a,b,c,d,e')
 sage: (e + c/a - b*c^2/(a^2*(b*c/a-d)) + c*d/(a*(b*c/a-d))).numerator()
 a^2*b*c*e - a^3*d*e
 sage: (c/a - b*c^2/(a^2*(b*c/a-d)) + c*d/(a*(b*c/a-d))).numerator()
 0

 sage: (e + c/a - b*c^2/(a^2*(b*c/a-d)) + c*d/(a*(b*c/a-d))).normalize()
 (a^2*b*c*e - a^3*d*e)/((b*c - a*d)*a^2)
 }}}

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Ticket URL: <http://trac.sagemath.org/ticket/19775>
Sage <http://www.sagemath.org>
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