#19288: Make real/complex number field embeddings more accurate
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       Reporter:  pbruin          |        Owner:
           Type:  enhancement     |       Status:  new
       Priority:  minor           |    Milestone:  sage-6.9
      Component:  number fields   |   Resolution:
       Keywords:                  |    Merged in:
        Authors:  Jeroen Demeyer  |    Reviewers:
Report Upstream:  N/A             |  Work issues:
         Branch:                  |       Commit:
   Dependencies:                  |     Stopgaps:
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Description changed by jdemeyer:

Old description:



New description:

 We should detect and work around this catastrophic cancellation:
 {{{
 sage: K.<a> = NumberField(x^2-x-104)
 sage: D = -4754362903238080086532729679384769785488*a -
 46166237460580684378417136025570042177152
 sage: [v(D) for v in K.embeddings(RR)]
 [0.000000000000000, -9.70868378243995e40]
 }}}

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Ticket URL: <http://trac.sagemath.org/ticket/19288#comment:6>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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