#7589: bug in coercion and cyclotomic fields
--------------------------+-------------------------------------------------
   Reporter:  AlexGhitza  |       Owner:  robertwb
       Type:  defect      |      Status:  new     
   Priority:  major       |   Milestone:  sage-4.3
  Component:  coercion    |    Keywords:          
Work_issues:              |      Author:          
   Upstream:  N/A         |    Reviewer:          
     Merged:              |  
--------------------------+-------------------------------------------------
 This should work automagically:

 {{{
 ----------------------------------------------------------------------
 | Sage Version 4.2.1, Release Date: 2009-11-14                       |
 | Type notebook() for the GUI, and license() for information.        |
 ----------------------------------------------------------------------
 sage: a = CyclotomicField(3).random_element()
 sage: b = CyclotomicField(4).random_element()
 sage: a + b
 ---------------------------------------------------------------------------
 TypeError                                 Traceback (most recent call
 last)

 /home/ghitza/.sage/temp/artin/9098/_home_ghitza__sage_init_sage_0.py in
 <module>()

 /home/ghitza/sage-devel/local/lib/python2.6/site-
 packages/sage/structure/element.so in
 sage.structure.element.ModuleElement.__add__
 (sage/structure/element.c:6989)()

 /home/ghitza/sage-devel/local/lib/python2.6/site-
 packages/sage/structure/coerce.so in
 sage.structure.coerce.CoercionModel_cache_maps.bin_op
 (sage/structure/coerce.c:7021)()

 TypeError: unsupported operand parent(s) for '+': 'Cyclotomic Field of
 order 3 and degree 2' and 'Cyclotomic Field of order 4 and degree 2'
 sage: a * b
 ---------------------------------------------------------------------------
 TypeError                                 Traceback (most recent call
 last)

 /home/ghitza/.sage/temp/artin/9098/_home_ghitza__sage_init_sage_0.py in
 <module>()

 /home/ghitza/sage-devel/local/lib/python2.6/site-
 packages/sage/structure/element.so in
 sage.structure.element.RingElement.__mul__
 (sage/structure/element.c:10248)()

 /home/ghitza/sage-devel/local/lib/python2.6/site-
 packages/sage/structure/coerce.so in
 sage.structure.coerce.CoercionModel_cache_maps.bin_op
 (sage/structure/coerce.c:7021)()

 TypeError: unsupported operand parent(s) for '*': 'Cyclotomic Field of
 order 3 and degree 2' and 'Cyclotomic Field of order 4 and degree 2'
 }}}

 I think it's a coercion problem.  If someone knows better, please change
 the trac component accordingly.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7589>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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