Comment #1 on issue 3811 by asmeu...@gmail.com:
Matrix.eigenvects(simplify=True) does not simplify
http://code.google.com/p/sympy/issues/detail?id=3811
Oh, and
M = Matrix([ [1-a-2*b, a, b, b],
[a, 1-a-2*b, b, b],
[b, b, 1-a-2*b, a],
[b, b, a, 1-a-2*b] ])
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