#14485: Creation of a polynomial over QQbar
---------------------------------------+------------------------------------
       Reporter:  tmonteil             |         Owner:  malb     
           Type:  defect               |        Status:  new      
       Priority:  major                |     Milestone:  sage-5.10
      Component:  commutative algebra  |    Resolution:           
       Keywords:  QQbar, polynomial    |   Work issues:           
Report Upstream:  N/A                  |     Reviewers:           
        Authors:                       |     Merged in:           
   Dependencies:                       |      Stopgaps:           
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Description changed by tmonteil:

Old description:

> Here is the issue: there is no problem buildind a polynomial over AA:
>
> {{{
> sage: R = AA[x]
> sage: P = R(x^6+x^5+x^4-x^3+x^2-x+2/5)
> }}}
>
> But the same operation does not work on QQbar:
>
> {{{
> sage: S = QQbar[x]
> sage: Q = S(x^6+x^5+x^4-x^3+x^2-x+2/5)
> Traceback (most recent call last)
> ...
> NotImplementedError: symbol
> }}}
>
> Hovewer, this workaround works:
>
> {{{
> sage: Q = P.change_ring(QQbar)
> }}}
>
> Weird isn't it ?

New description:

 Here is the issue: there is no problem buildind a polynomial over AA:

 {{{
 sage: R = AA[x]
 sage: P = R(x^6+x^5+x^4-x^3+x^2-x+2/5)
 }}}

 But the same operation does not work on QQbar:

 {{{
 sage: S = QQbar[x]
 sage: Q = S(x^6+x^5+x^4-x^3+x^2-x+2/5)
 Traceback (most recent call last)
 ...
 NotImplementedError: symbol
 }}}

 Hovewer, this workaround works:

 {{{
 sage: Q = P.change_ring(QQbar)
 }}}


 Moreover the following works :

 {{{
 sage: S.<x> = PolynomialRing(QQbar,'x')
 sage: Q = S(x^6+x^5+x^4-x^3+x^2-x+2/5)
 sage: S == QQbar[x]
 True
 }}}

 Weird isn't it ?

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14485#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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