#8800: Doctest coverage of categories
--------------------------+-------------------------------------------------
   Reporter:  SimonKing   |       Owner:  Simon King         
       Type:  defect      |      Status:  new                
   Priority:  major       |   Milestone:  sage-4.4.2         
  Component:  categories  |    Keywords:  categories doctests
     Author:  Simon King  |    Upstream:  N/A                
   Reviewer:              |      Merged:                     
Work_issues:              |  
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Comment(by SimonKing):

 {{{
 sage: P.<x> = QQ[]
 sage: CC.extension(x^3+x^2+1,'a')
 Univariate Quotient Polynomial Ring in a over Complex Field with 53 bits
 of precision with modulus a^3 + a^2 + 1.00000000000000
 sage: CDF.extension(x^3+x^2+1,'a')
 Univariate Quotient Polynomial Ring in a over Complex Double Field with
 modulus a^3 + a^2 + 1.0
 sage: QQbar.extension(x^3+x^2+1,'a')
 Univariate Quotient Polynomial Ring in a over Algebraic Field with modulus
 a^3 + a^2 + 1
 }}}

 Aren't the three above fields algebraically complete? So, I guess the
 ``extension`` method should be modified to take this into account.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8800#comment:13>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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