#6396: [with patch, needs work] primes_of_degree_one is broken for relative
extensions
----------------------------+-----------------------------------------------
 Reporter:  davidloeffler   |       Owner:  was           
     Type:  defect          |      Status:  new           
 Priority:  major           |   Milestone:  sage-4.1      
Component:  number theory   |    Keywords:                
 Reviewer:  Nick Alexander  |      Author:  David Loeffler
   Merged:                  |  
----------------------------+-----------------------------------------------

Comment(by boothby):

 Doctest failures when applied to 4.1.alpha1

 {{{
 sage -t -long
 devel/sage/sage/rings/number_field/small_primes_of_degree_one.py
 **********************************************************************
 File "/space/boothby/sage-4.1.alpha1/devel/sage-
 main/sage/rings/number_field/small_primes_of_degree_one.py", line 204:
     sage: N.primes_of_degree_one_list(10)
 Expected:
     [Fractional ideal ((-1/2*b + 1/2)*a + 2),
      Fractional ideal (-b*a + 1/2*b + 1/2),
      Fractional ideal ((1/2*b + 3/2)*a - b),
      Fractional ideal ((-1/2*b - 3/2)*a + b - 1),
      Fractional ideal (-b*a - b + 1),
      Fractional ideal (3*a + 1/2*b - 1/2),
      Fractional ideal ((-3/2*b + 1/2)*a + 1/2*b - 1/2),
      Fractional ideal ((-1/2*b - 5/2)*a - b + 1),
      Fractional ideal (2*a - 3/2*b - 1/2),
      Fractional ideal (3*a + 1/2*b + 5/2)]
 Got:
     [Fractional ideal (2*a + 1/2*b - 1/2), Fractional ideal ((-1/2*b -
 1/2)*a - b), Fractional ideal (b*a + 1/2*b + 3/2), Fractional ideal
 ((-1/2*b - 3/2)*a + b - 1), Fractional ideal ((-b + 1)*a + b), Fractional
 ideal (3*a + 1/2*b - 1/2), Fractional ideal ((1/2*b - 1/2)*a + 3/2*b -
 1/2), Fractional ideal ((-1/2*b - 5/2)*a - b + 1), Fractional ideal (2*a -
 3/2*b - 1/2), Fractional ideal (3*a + 1/2*b + 5/2)]
 **********************************************************************
 1 items had failures:
    1 of   8 in __main__.example_5
 ***Test Failed*** 1 failures.
 For whitespace errors, see the file
 /space/boothby/sage-4.1.alpha1/tmp/.doctest_small_primes_of_degree_one.py
          [3.2 s]
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6396#comment:5>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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