#10698: error in padic power series construction
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   Reporter:  wuthrich  |       Owner:  roed              
       Type:  defect    |      Status:  new               
   Priority:  major     |   Milestone:                    
  Component:  padics    |    Keywords:  padic power series
     Author:            |    Upstream:  N/A               
   Reviewer:            |      Merged:                    
Work_issues:            |  
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 Here is an example of a bug in constructing a power series with
 coefficient in an extension of Qp.

 {{{
 sage: A = Qp(3,5)
 sage: Po.<X> = A[]
 sage: f = Po([3,0,-1])
 sage: K = f.root_field('a')
 sage: a = K.gen()
 sage: R.<T> = K[[]]
 sage: b = A(0).add_bigoh(-1)
 sage: b
 O(3^-1)
 sage: v = [a,b,b*a,b*(1+a)]
 sage: v
 [(1 + O(3^5))*a, O(3^-1), (O(3^-1))*a, (O(3^-1))*a + (O(3^-1))]
 sage: R(v,4)
 (1 + O(3^5))*a + O(T^4)
 }}}

 Note that the coefficients with low precision were just set to 0

 {{{
 sage: g = R(v,4)
 sage: g[1][0].precision_absolute()
 +Infinity
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10698>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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