#11922: extension of ZZ gives wrong generator
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   Reporter:  dkrenn         |          Owner:  davidloeffler                   
  
       Type:  defect         |         Status:  new                             
  
   Priority:  major          |      Milestone:  sage-4.7.2                      
  
  Component:  number fields  |       Keywords:  extension, ZZ, integers, 
generator
Work_issues:                 |       Upstream:  N/A                             
  
   Reviewer:                 |         Author:  Daniel Krenn                    
  
     Merged:                 |   Dependencies:                                  
  
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 Generating an extension in the way below gives back the wrong generator.

 {{{
 sage: Z.<z> = ZZ.extension(x^2+1); Z
 Order in Number Field in z with defining polynomial x^2 + 1
 sage: z
 1
 }}}
 The output should be

 {{{
 sage: z
 z
 }}}
 as, for example, in the case of an extension of QQ, which works correctly.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11922>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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