#4392: [with patch, needs review] smallest_integer() is broken
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 Reporter:  cremona             |        Owner:  cremona 
     Type:  defect              |       Status:  new     
 Priority:  major               |    Milestone:  sage-3.2
Component:  number theory       |   Resolution:          
 Keywords:  number field ideal  |  
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Changes (by cremona):

  * summary:  smallest_integer() is broken => [with patch, needs review]
              smallest_integer() is broken

Comment:

 The patch sage-trac4392.patch (based on 3.2.alpha1) fixes this by
 completely reimplementing the function in a simpler way, using linear
 algebra instead of factorization.  Several new doctests have been added.
 All tests in sage.rings.number_field pass.

 The second patch applies after the first and handles the zero ideal
 properly (with another doctest to prove it!)

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4392#comment:1>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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