#7598: NumberField embedding slightly off
-----------------------------+----------------------------------------------
   Reporter:  mhansen        |       Owner:  davidloeffler
       Type:  defect         |      Status:  needs_work   
   Priority:  major          |   Milestone:  sage-4.3.1   
  Component:  number fields  |    Keywords:               
Work_issues:                 |      Author:  William Stein
   Upstream:  N/A            |    Reviewer:  Mike Hansen  
     Merged:                 |  
-----------------------------+----------------------------------------------
Changes (by AlexGhitza):

  * status:  needs_review => needs_work


Comment:

 Running long doctests on a 32-bit Arch Linux machine gives one doctest
 failure related to this ticket:

 {{{
 sage -t -long "devel/sage/doc/en/bordeaux_2008/nf_galois_groups.rst"
 **********************************************************************
 File
 "/opt/sage-4.3.rc0/devel/sage/doc/en/bordeaux_2008/nf_galois_groups.rst",
 line 109:
     sage: K.complex_embeddings()
 Expected:
     [
     Ring morphism:
       From: Number Field in a with defining polynomial x^3 - 2
       To:   Complex Double Field
       Defn: a |--> -0.629960524947 - 1.09112363597*I,
     Ring morphism:
       From: Number Field in a with defining polynomial x^3 - 2
       To:   Complex Double Field
       Defn: a |--> -0.629960524947 + 1.09112363597*I,
     Ring morphism:
       From: Number Field in a with defining polynomial x^3 - 2
       To:   Complex Double Field
       Defn: a |--> 1.25992104989
     ]
 Got:
     [
     Ring morphism:
       From: Number Field in a with defining polynomial x^3 - 2
       To:   Complex Field with 53 bits of precision
       Defn: a |--> -0.629960524947437 - 1.09112363597172*I,
     Ring morphism:
       From: Number Field in a with defining polynomial x^3 - 2
       To:   Complex Field with 53 bits of precision
       Defn: a |--> -0.629960524947437 + 1.09112363597172*I,
     Ring morphism:
       From: Number Field in a with defining polynomial x^3 - 2
       To:   Complex Field with 53 bits of precision
       Defn: a |--> 1.25992104989487
     ]
 **********************************************************************
 1 items had failures:
    1 of   4 in __main__.example_3
 ***Test Failed*** 1 failures.
 For whitespace errors, see the file
 /home/ghitza/.sage//tmp/.doctest_nf_galois_groups.py
          [5.9 s]
 exit code: 1024
 }}}

 Apart from this small issue, everything looks good.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7598#comment:9>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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