#8344: Factor constant polynomials over QQbar
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   Reporter:  boothby           |       Owner:  AlexGhitza
       Type:  defect            |      Status:  needs_info
   Priority:  critical          |   Milestone:  sage-4.3.4
  Component:  basic arithmetic  |    Keywords:            
     Author:                    |    Upstream:  N/A       
   Reviewer:                    |      Merged:            
Work_issues:                    |  
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Comment(by zimmerma):

 Dear John,

 your method seems ok to me, however I can't reproduce your first example
 in Sage 4.3.3:
 {{{
 sage: x = polygen(QQbar)
 sage: f = 3*x^2-2
 sage: lc = f.leading_coefficient()
 sage: Factorization([(x-r,e) for r,e in f.roots()])
 (x - 0.8164965809277260?) * (x + 0.8164965809277260?)
 sage: Factorization([(x-r,e) for r,e in f.roots()],unit=1)
 (x - 0.8164965809277260?) * (x + 0.8164965809277260?)
 sage: Factorization([(x-r,e) for r,e in f.roots()],unit=lc)
 ...
 TypeError: Illegal initializer for algebraic number
 sage: type(lc), parent(lc)
 (<class 'sage.rings.qqbar.AlgebraicNumber'>, Algebraic Field)
 }}}
 Does it depend on another ticket?

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8344#comment:9>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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