eigenvectors {{0, 1/3, 2/3, 0,0,0}, {1/2, 0, 1/3, 0,0,0}, {1/2, 2/3, 0, 0,0,0}, {0,0,0,0, 4/5, 0}, {0,0,0,1/4, 0, 1/3}, {0,0,0,3/4, 1/5, 0}}

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