#17922: coeffs() function more consistent between Expressions and polynomial 
rings
-----------------------------+----------------------------
   Reporter:  JoalHeagney    |            Owner:
       Type:  PLEASE CHANGE  |           Status:  new
   Priority:  minor          |        Milestone:  sage-6.6
  Component:  algebra        |         Keywords:  coeffs
  Merged in:                 |          Authors:
  Reviewers:                 |  Report Upstream:  N/A
Work issues:                 |           Branch:
     Commit:                 |     Dependencies:
   Stopgaps:                 |
-----------------------------+----------------------------
 {{{
 y = 3*x^3 + 2*x^2 - 4*x
 print(y)
 type(y)
 }}}
 Gives:

 {{{
 3*x^3 + 2*x^2 - 4*x
 <type 'sage.symbolic.expression.Expression'>
 }}}
 And

 {{{
 M = matrix(SR,[[1,2],[0,-2]])
 ch = M.charpoly()
 print(ch)
 type(ch)
 }}}
 gives

 {{{
 x^2 + x - 2
 <class
 
'sage.rings.polynomial.polynomial_element_generic.Polynomial_generic_dense_field'>
 }}}
 But:

 {{{
 y.coeffs()
 }}}
 returns

 {{{
 [[−4,1],[2,2],[3,3]]
 }}}
 and

 {{{
 ch.coeffs()
 }}}
 returns

 {{{
 [−2,1,1]
 }}}

 I'd prefer if these two functions returned the same format, preferably the
 Expression format, as having access to the index allows list comprehension
 tastiness.

--
Ticket URL: <http://trac.sagemath.org/ticket/17922>
Sage <http://www.sagemath.org>
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