#9457: power series comparison should use padded_list
------------------------------------------------------------------------------------------------------------------------+
   Reporter:  niles                                                             
                                        |       Owner:  malb      
       Type:  defect                                                            
                                        |      Status:  needs_work
   Priority:  minor                                                             
                                        |   Milestone:  sage-4.5.2
  Component:  commutative algebra                                               
                                        |    Keywords:            
     Author:  niles                                                             
                                        |    Upstream:  N/A       
   Reviewer:                                                                    
                                        |      Merged:            
Work_issues:  Fix bug in sage.schemes.elliptic_curves.sha_tate.Sha.an_padic; 
mention ticket number in commit messages.  |  
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Comment(by SimonKing):

 Here's the problem.

 Without the patch:
 {{{
 sage: R.<T> = QQ.completion(5,5)[[]]
 sage: R
 Power Series Ring in T over 5-adic Field with capped relative precision 5
 sage: O(T^2) == 0
 False
 }}}

 With the patch:
 {{{
 sage: R.<T> = QQ.completion(5,5)[[]]
 sage: R
 Power Series Ring in T over 5-adic Field with capped relative precision 5
 sage: O(T^2) == 0
 True
 }}}

 I guess that the second answer is correct. Unfortunately, Sha.an_padic
 relies on the wrong answer.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9457#comment:8>
Sage <http://www.sagemath.org>
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