#14403: Symbolic charpoly broken
-------------------------+--------------------------------------------------
   Reporter:  nbruin     |             Owner:  burcin  
       Type:  defect     |            Status:  new     
   Priority:  major      |         Milestone:  sage-5.9
  Component:  symbolics  |          Keywords:          
Work issues:             |   Report Upstream:  N/A     
  Reviewers:             |           Authors:          
  Merged in:             |      Dependencies:          
   Stopgaps:             |  
-------------------------+--------------------------------------------------
 see [https://groups.google.com/group/sage-
 devel/browse_thread/thread/71d76cd072fe17eb?hl=en sage-devel].
 Not good:
 {{{
 sage: a=matrix([[x,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]])
 sage: charpoly(a)
 0
 }}}
 Also not good
 {{{
 sage: var('y')
 sage: b=matrix([[y^(1/2),0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]])
 sage: charpoly(b)
 Error
 }}}
 Both can be solved by doing something more along the lines of
 {{{
 V=SR('crazy_varname')
 cp=self._maxima_(maxima).charpoly('crazy_varname')._sage_().expand()
 SR[var](list(cp.coefficient(V,i) for i in range(self.nrows()+1)))
 }}}
 in `a.charpoly`.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14403>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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