#13692: factor_trial_division returns Python longs as exponents
-----------------------------+----------------------------------------------
   Reporter:  dimpase        |             Owner:  was     
       Type:  defect         |            Status:  new     
   Priority:  major          |         Milestone:  sage-5.5
  Component:  number theory  |          Keywords:          
Work issues:                 |   Report Upstream:  N/A     
  Reviewers:                 |           Authors:          
  Merged in:                 |      Dependencies:          
   Stopgaps:                 |  
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 unlike the rest (?) of Sage, factor_trial_division returns wants exponents
 of powers to be Python longs:
 {{{
 sage: from sage.rings.factorint import factor_trial_division
 sage: [t for t in factor_trial_division(8)]
 [(2, 3L)]
 }}}
 It is a bug or a feature? It leads to this kind of data also being
 returned by factor():
 {{{
 sage: [t for t in Integer(8).factor(limit=1000)]
 [(2, 3L)]
 }}}
 as opposed to
 {{{
 sage: [t for t in Integer(8).factor()]
 [(2, 3)]
 }}}
 See this [https://groups.google.com/d/topic/sage-
 support/whnvwlDrAEo/discussion sage-support thread].
 Something should be fixed - either factor(), or factor_trial_division()

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13692>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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