#14240: Universal cyclotomic field breaks for moderate order
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       Reporter:  mraum          |         Owner:  davidloeffler
           Type:  defect         |        Status:  new          
       Priority:  major          |     Milestone:  sage-5.9     
      Component:  number fields  |    Resolution:               
       Keywords:  ucf, overflow  |   Work issues:               
Report Upstream:  N/A            |     Reviewers:               
        Authors:                 |     Merged in:               
   Dependencies:                 |      Stopgaps:               
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Comment (by nbruin):

 I think the code tries to put denominators in `cdef int` which of course
 quickly goes wrong:
 {{{
 sage: UCF.<E> = UniversalCyclotomicField()
 sage: (1/(2**31-1)*E(2,1)+E(3,2))**2
 OverflowError: value too large to convert to int
 }}}
 especially if you clear denominator by taking an `LCM` of a (long) list of
 rational coefficients.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14240#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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