#13980: numerical noise in variety(RDF)
------------------------------------+---------------------------------------
       Reporter:  zimmerma          |         Owner:  AlexGhitza
           Type:  defect            |        Status:  new       
       Priority:  minor             |     Milestone:  sage-5.7  
      Component:  basic arithmetic  |    Resolution:            
       Keywords:                    |   Work issues:            
Report Upstream:  N/A               |     Reviewers:            
        Authors:                    |     Merged in:            
   Dependencies:                    |      Stopgaps:            
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Comment (by zimmerma):

 some progress comparing my machine (tarte.loria.fr) with Sage 5.5 and
 "arando" (thanks Dima)
 with Sage 5.7.beta0.

 On my machine:
 {{{
 ----------------------------------------------------------------------
 | Sage Version 5.5, Release Date: 2012-12-22                         |
 | Type "notebook()" for the browser-based notebook interface.        |
 | Type "help()" for help.                                            |
 ----------------------------------------------------------------------
 Loading Sage library. Current Mercurial branch is: 12615b
 sage: R.<y> = ZZ[]
 sage: f
 y^7 + 1400000000000000*y^4 + 12600000000000000*y^3 -
 9999999999966400000000000000*y^2 - 19999999999964800000000000000*y -
 9999999999987200000000000000
 sage: r = f.roots(ring=RDF)
 sage: r
 [(396340.890167, 1)]
 sage: RR(r[0][0]).exact_rational()
 3404542322665677/8589934592
 }}}

 On arando:
 {{{
 ----------------------------------------------------------------------
 | Sage Version 5.7.beta0, Release Date: 2013-01-21                   |
 | Type "notebook()" for the browser-based notebook interface.        |
 | Type "help()" for help.                                            |
 ----------------------------------------------------------------------
 **********************************************************************
 *                                                                    *
 * Warning: this is a prerelease version, and it may be unstable.     *
 *                                                                    *
 **********************************************************************
 sage: R.<y> = ZZ[]
 sage: r = f.roots(ring=RDF)
 sage: r
 [(396340.890167, 1)]
 sage: RR(r[0][0]).exact_rational()
 1702271161332839/4294967296
 }}}
 Paul

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13980#comment:1>
Sage <http://www.sagemath.org>
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