#16282: magma(P) for multivariate polynomial rings
-------------------------------------+-------------------------------------
       Reporter:  malb               |        Owner:
           Type:  defect             |       Status:  positive_review
       Priority:  major              |    Milestone:  sage-6.3
      Component:  interfaces         |   Resolution:
       Keywords:  magma              |    Merged in:
        Authors:  Martin Albrecht    |    Reviewers:  Volker Braun
Report Upstream:  N/A                |  Work issues:
         Branch:  u/malb/16282       |       Commit:
  -magma-cache                       |  566082b35d87c7b98a09775cb62b00fa4c6510d8
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by leif):

 {{{
 sage -t --long src/sage/rings/number_field/number_field.py
 **********************************************************************
 File "src/sage/rings/number_field/number_field.py", line 4393, in
 sage.rings.number_field.number_field.NumberField_generic.galois_group
 Failed example:
     NumberField(x^3 + 2*x + 1, 'a').galois_group(algorithm='magma')   #
 optional - magma, , database_gap
 Exception raised:
     Traceback (most recent call last):
       File "/Users/leif/Sage/sage-6.2.beta7/local/lib/python2.7/site-
 packages/sage/doctest/forker.py", line 480, in _run
         self.execute(example, compiled, test.globs)
       File "/Users/leif/Sage/sage-6.2.beta7/local/lib/python2.7/site-
 packages/sage/doctest/forker.py", line 839, in execute
         exec compiled in globs
       File "<doctest
 sage.rings.number_field.number_field.NumberField_generic.galois_group[10]>",
 line 1, in <module>
         NumberField(x**Integer(3) + Integer(2)*x + Integer(1),
 'a').galois_group(algorithm='magma')   # optional - magma, , database_gap
       File "cachefunc.pyx", line 1591, in
 sage.misc.cachefunc.CachedMethodCaller.__call__
 (sage/misc/cachefunc.c:9194)
       File "cachefunc.pyx", line 2191, in
 sage.misc.cachefunc.CachedMethod._instance_call
 (sage/misc/cachefunc.c:11887)
       File "/Users/leif/Sage/sage-6.2.beta7/local/lib/python2.7/site-
 packages/sage/rings/number_field/number_field.py", line 4420, in
 galois_group
         return GaloisGroup_v2(self, names)
       File "/Users/leif/Sage/sage-6.2.beta7/local/lib/python2.7/site-
 packages/sage/rings/number_field/galois_group.py", line 184, in __init__
         self._galois_closure, self._gc_map =
 number_field.galois_closure(names=names, map=True)
       File "/Users/leif/Sage/sage-6.2.beta7/local/lib/python2.7/site-
 packages/sage/rings/number_field/number_field.py", line 6841, in
 galois_closure
         L, self_into_L = self._galois_closure_and_embedding(names)
       File "/Users/leif/Sage/sage-6.2.beta7/local/lib/python2.7/site-
 packages/sage/rings/number_field/number_field.py", line 6758, in
 _galois_closure_and_embedding
         raise TypeError("You must specify the name of the generator.")
     TypeError: You must specify the name of the generator.
 **********************************************************************
 1 item had failures:
    1 of  17 in
 sage.rings.number_field.number_field.NumberField_generic.galois_group
     [1690 tests, 1 failure, 68.83 s]
 }}}

 (It's actually Sage 6.2.rc2, despite the folder name.)

--
Ticket URL: <http://trac.sagemath.org/ticket/16282#comment:7>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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