#6228: Wrong multiplicities when solving a univariate polynomial equation
-----------------------+----------------------------------------------------
 Reporter:  SimonKing  |       Owner:                      
     Type:  defect     |      Status:  new                 
 Priority:  major      |   Milestone:  sage-4.0.2          
Component:  symbolics  |    Keywords:  multiplicities solve
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 At http://groups.google.com/group/sage-
 support/browse_thread/thread/d8e22deb18d97253 Michael Friedman asked how
 to get the multiplicities when solving a set of nonlinear equations.

 It turns out that actually even the multiplicities for a single and rather
 simple equation are wrong:
 {{{
 ----------------------------------------------------------------------
 | Sage Version 4.0, Release Date: 2009-05-29                         |
 | Type notebook() for the GUI, and license() for information.        |
 ----------------------------------------------------------------------
 sage: z = var('z')
 sage: solve((z^3-1)^3,z,multiplicities=True)
 ([z == (sqrt(3)*I - 1)/2, z == (-sqrt(3)*I - 1)/2, z == 1], [1, 1, 3])
 }}}

 I am afraid that symbolics isn't my field of expertise. So, I don't know
 how to cure it.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6228>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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