#8327: Implement the universal cyclotomic field, using Zumbroich basis
-----------------------------------------------------+----------------------
       Reporter:  nthiery                            |         Owner:  jdemeyer 
        
           Type:  enhancement                        |        Status:  
needs_work       
       Priority:  major                              |     Milestone:  sage-5.7 
        
      Component:  number fields                      |    Resolution:           
        
       Keywords:  Cyclotomic field, Zumbroich basis  |   Work issues:           
        
Report Upstream:  N/A                                |     Reviewers:  Frédéric 
Chapoton
        Authors:  Christian Stump, Simon King        |     Merged in:           
        
   Dependencies:  #13765                             |      Stopgaps:           
        
-----------------------------------------------------+----------------------
Changes (by jdemeyer):

  * status:  needs_review => needs_work


Comment:

 Now that you have changed the exceptions, also the doctests for the
 exceptions need to changed.  I see various failures along the lines of
 {{{
 **********************************************************************
 File "/release/merger/sage-5.7.beta3/devel/sage-
 main/sage/rings/universal_cyclotomic_field/universal_cyclotomic_field.py",
 line 1755:
     sage: E(6).galois_conjugates(5)
 Expected:
     Traceback (most recent call last):
     ...
     ValueError: the given integer (5) is not a multiple of the field order
 of -E(3)^2
 Got:
     Traceback (most recent call last):
       File "/release/merger/sage-5.7.beta3/local/bin/ncadoctest.py", line
 1231, in run_one_test
         self.run_one_example(test, example, filename, compileflags)
       File "/release/merger/sage-5.7.beta3/local/bin/sagedoctest.py", line
 38, in run_one_example
         OrigDocTestRunner.run_one_example(self, test, example, filename,
 compileflags)
       File "/release/merger/sage-5.7.beta3/local/bin/ncadoctest.py", line
 1172, in run_one_example
         compileflags, 1) in test.globs
       File "<doctest __main__.example_61[10]>", line 1, in <module>
         E(Integer(6)).galois_conjugates(Integer(5))###line 1755:
     sage: E(6).galois_conjugates(5)
       File "/release/merger/sage-5.7.beta3/local/lib/python/site-
 packages/sage/rings/universal_cyclotomic_field/universal_cyclotomic_field
 .py", line 1765, in galois_conjugates
         raise ValueError("The given integer (%s) is not a multiple of the
 field order of %s"%(m,self))
     ValueError: The given integer (5) is not a multiple of the field order
 of -E(3)^2
 **********************************************************************
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8327#comment:202>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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