#13613: implement residue() for padic extensions
--------------------------------+-------------------------------------------
       Reporter:  saraedum      |         Owner:  roed    
           Type:  enhancement   |        Status:  new     
       Priority:  trivial       |     Milestone:  sage-5.5
      Component:  padics        |    Resolution:          
       Keywords:                |   Work issues:          
Report Upstream:  N/A           |     Reviewers:          
        Authors:  Julian Rueth  |     Merged in:          
   Dependencies:                |      Stopgaps:          
--------------------------------+-------------------------------------------
Description changed by saraedum:

Old description:

> Currently, elements of padic extensions do not provide a {{{residue()}}}
> method:
>
> {{{
> sage: sage: K=Qp(3)
> sage: K(3).residue()
> 0
> sage: sage: R.<a> = K[]
> sage: sage: L.<a> = K.extension(a^2+1)
> sage: a.residue()
> AttributeError:
> 'sage.rings.padics.padic_ZZ_pX_CR_element.pAdicZZpXCRElement' object has
> no attribute 'residue'
> }}}
>
> The attached patch fixes this.

New description:

 Currently, elements of padic extensions do not provide a {{{residue()}}}
 method:

 {{{
 sage: sage: K=Qp(3)
 sage: K(3).residue()
 0
 sage: sage: R.<a> = K[]
 sage: sage: L.<a> = K.extension(a^2+1)
 sage: a.residue()
 AttributeError:
 'sage.rings.padics.padic_ZZ_pX_CR_element.pAdicZZpXCRElement' object has
 no attribute 'residue'
 }}}

 The attached patch fixes this (at least for the easy case where the
 optional parameter {{{absprec=1}}}).

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13613#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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