#20244: root_field() does not work for p-adic fields
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   Reporter:  saraedum  |            Owner:
       Type:  defect    |           Status:  new
   Priority:  major     |        Milestone:  sage-7.2
  Component:  padics    |         Keywords:  days71, beginner
  Merged in:            |          Authors:
  Reviewers:            |  Report Upstream:  N/A
Work issues:            |           Branch:
     Commit:            |     Dependencies:
   Stopgaps:            |
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 {{{
 sage: R.<x> = Qp(3)[]
 sage: (x^3+3).root_field('a')
 Univariate Quotient Polynomial Ring in a over 3-adic Field with capped
 relative precision 20 with modulus (1 + O(3^20))*x^3 + (3 + O(3^21))
 }}}

 Also the documentation is somewhat confusing. It should be made clear that
 this is not the same as `splitting_field()`.

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Ticket URL: <http://trac.sagemath.org/ticket/20244>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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