#14117: Jordan normal form not computed for nilpotent matrix over rational 
function
field / polynomials cannot be factored over rational function field
------------------------------------------------------------------+---------
       Reporter:  darij                                           |         
Owner:  AlexGhitza               
           Type:  defect                                          |        
Status:  needs_work               
       Priority:  major                                           |     
Milestone:  sage-5.10                
      Component:  algebra                                         |    
Resolution:                           
       Keywords:  polynomials, factorization, jordan normal form  |   Work 
issues:                           
Report Upstream:  N/A                                             |     
Reviewers:  Luis Felipe Tabera Alonso
        Authors:  Darij Grinberg                                  |     Merged 
in:                           
   Dependencies:                                                  |      
Stopgaps:                           
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Changes (by lftabera):

  * status:  needs_review => needs_work
  * reviewer:  => Luis Felipe Tabera Alonso


Comment:

 With your example

 {{{
 sage: M.jordan_form(eigenvalues=[(0,3)])
 [0 1|0]
 [0 0|0]
 [---+-]
 [0 0|0]
 sage: M.jordan_form(eigenvalues=[(1,3)])
 []
 }}}

 The code should not return the second but raise a type of error. Also, add
 to the doctest a test with your eigenvalues option with
 transformation=True to make sure it works as expected.

 As a matter of style, avoid blank lines containing only blanckspaces (up
 to the indent level) in your code. I think this is not enforced though.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14117#comment:6>
Sage <http://www.sagemath.org>
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