#10085: The gen() method for power series over power series works incorrectly
-------------------------+--------------------------------------------------
   Reporter:  schilly    |       Owner:  burcin  
       Type:  defect     |      Status:  new     
   Priority:  major      |   Milestone:  sage-4.6
  Component:  symbolics  |    Keywords:          
     Author:             |    Upstream:  N/A     
   Reviewer:             |      Merged:          
Work_issues:             |  
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 If I type the following:
 {{{
 S1 = LazyPowerSeriesRing(ZZ)
 S2 = LazyPowerSeriesRing(S1)
 y = S2.gen()
 y.coefficient(1) == 1
 }}}
 I get True, and
 {{{
 y.coefficient(1).coefficient(0)
 }}}
 gets me the "'int' object has no attribute 'coefficient'" error message.

 I solved the problem by changing the following line in the gen() method:
 {{{
 res = self._new_initial(1, Stream([0,1,0]))
 }}}
 by
 {{{
 res = self.term(1, 1)}}}

         The coefficient of order 1 in the series y should not be the
 integer 1, but the power series [1, 0, ...] in S1.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10085>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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