#14113: affine root system ambient lattice issue
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   Reporter:  mshimo         |             Owner:  sage-combinat                
      
       Type:  defect         |            Status:  new                          
      
   Priority:  major          |         Milestone:  sage-5.8                     
      
  Component:  combinatorics  |          Keywords:  affine root system, ambient 
lattice
Work issues:                 |   Report Upstream:  N/A                          
      
  Reviewers:                 |           Authors:  nthiery                      
      
  Merged in:                 |      Dependencies:                               
      
   Stopgaps:                 |  
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 error is in combinat/root_system/type_affine.py

 sage: L = RootSystem(["A",1,1]).ambient_lattice()

 sage: L.simple_root(0)

 returns rational coefficients when integers are expected,
 yielding the error

 TypeError: unsupported operand parent(s) for '*': 'Rational Field' and
 'Ambient lattice of the Root system of type ['A', 1, 1]'

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14113>
Sage <http://www.sagemath.org>
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