#2420: Extending the gap interface to uni- and multivariate polynomial rings 
over
number fields
---------------------------+------------------------------------------------
   Reporter:  SimonKing    |       Owner:  SimonKing                            
                          
       Type:  enhancement  |      Status:  needs_review                         
                          
   Priority:  major        |   Milestone:  sage-4.5                             
                          
  Component:  interfaces   |    Keywords:  gap interface, polynomial rings, 
number fields, interface cache
     Author:  Simon King   |    Upstream:  N/A                                  
                          
   Reviewer:               |      Merged:                                       
                          
Work_issues:               |  
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Comment(by SimonKing):

 I forgot to mention:

 {{{
 Tower of polynomial rings over a number field

     sage: Q.<t> = QQ[]
     sage: K.<tau> = NumberField(t^2+t+1)
     sage: P.<x,y> = K[]
     sage: R.<z> = P[]
     sage: p = tau + tau^2*x*z + tau^3*y*z^2 + (1+tau)*x*y*z
     sage: gap(p)
     y*z^2+((tau+1)*x*y+(-tau-1)*x)*z+tau
 }}}
 works as well!

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/2420#comment:11>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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