#4944: speed regression in finding roots over number fields when an embedding is
specified
------------------------------------------+---------------------------------
 Reporter:  ncalexan                      |        Owner:  was       
     Type:  defect                        |       Status:  new       
 Priority:  blocker                       |    Milestone:  sage-3.2.3
Component:  number theory                 |   Resolution:            
 Keywords:  roots number field embedding  |  
------------------------------------------+---------------------------------
Comment (by mabshoff):

 Nick,

 this looks similar to #4723 and there is a patch from Carl. The patch over
 there (which isn't merged yet) fixes the problem for me. Before I killed
 it after 10 seconds CPU time, with the patch applied:
 {{{
 ----------------------------------------------------------------------
 | Sage Version 3.2.3.final, Release Date: 2009-01-02                 |
 | Type notebook() for the GUI, and license() for information.        |
 ----------------------------------------------------------------------
 sage: time x = ZZ['x'].0; (x^2 + 1).roots(NumberField(x^2 - 106*x + 2789,
 'a', embedding=CC.0))
 CPU times: user 0.02 s, sys: 0.01 s, total: 0.03 s
 Wall time: 0.03 s
 sage: x = ZZ['x'].0; (x^2 + 1).roots(NumberField(x^2 - 106*x + 2789, 'a',
 embedding=CC.0))
 []
 }}}
 Ironically the other issue was also reported by you :)

 Cheers,

 Michael

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4944#comment:1>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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