TABLEAU 2 --------- ORIGINAL MATRIX M2: +-123456789 123456789 123456789 123456789 12 1 111111111100000000000000011110010010000000 2 110100000000000000000000000000000000000000 3 000000000000000000000000000000000000000000 4 000000000000000000000000000000000000000000 5 101111001100000000000000000000010000000000 6 000001000100000000000000000000000000000000 7 000000000000000000000000000000000000000000 8 100100011100000000000000010000010010000000 9 000100000100000000000000000010000000000000 000101000100000000000000000000000000000000 1 000000000001000000000000000000000000000000 2 000000000000111000000000000000000000000100 3 100000000011111100110100000100000000001110 4 111111111110111101111101111111111101111110 5 000000000000001000000000000000000000000000 6 000000000000000110000000010000000000000000 7 000000000000111011000000010000100100010100 8 000000100100111001000000110000100000001100 9 101011000001111000100000110010000010011110 000110010100111011111001110010100000001000 1 111111011100111111101011111010110000011110 2 011111111111111111101111111111111111011010 3 000110000001111011101011010000000000000000 4 000100010101011001100001010000111000001000 5 011101111111111111101111111111111111111010 6 100001011110011101111100011010110010011100 7 100000000010011100000100111110000001101110 8 000000100000010000000000000100010001000000 9 000000000000000000000000000011100000001100 011111111111111111111111111111111111111110 1 011111111111111111111111111111111111111110 2 100000000000011000000000000110111101111100 3 000000000000000000000000000000001000000000 4 000000000000000000000000000100111000100000 5 000000000000001000000000010100101011101000 6 000000000000000000000000000000000001000000 7 100000000000000000000000000000000000100000 8 100000000000011000000000000000011001010100 9 100000000000011000000000000000011001001100 011111011111111111101100111010110010010010 1 111011111111111111111110011111010110010000 2 000000000000000000000000000000000000000000 TABLEAU 2 --------- EVENTUAL CONNECTION MATRIX C2: +-123456789 123456789 123456789 123456789 12 1 111111111111111111111111111111111111111110 2 111111111111111111111111111111111111111110 3 000000000000000000000000000000000000000000 4 000000000000000000000000000000000000000000 5 111111111111111111111111111111111111111110 6 000101000100000000000000000000000000000000 7 000000000000000000000000000000000000000000 8 111111111111111111111111111111111111111110 9 111111111111111111111111111111111111111110 000101000100000000000000000000000000000000 1 111111111111111111111111111111111111111110 2 111111111111111111111111111111111111111110 3 111111111111111111111111111111111111111110 4 111111111111111111111111111111111111111110 5 000000000000001000000000000000000000000000 6 111111111111111111111111111111111111111110 7 111111111111111111111111111111111111111110 8 111111111111111111111111111111111111111110 9 111111111111111111111111111111111111111110 111111111111111111111111111111111111111110 1 111111111111111111111111111111111111111110 2 111111111111111111111111111111111111111110 3 111111111111111111111111111111111111111110 4 111111111111111111111111111111111111111110 5 111111111111111111111111111111111111111110 6 111111111111111111111111111111111111111110 7 111111111111111111111111111111111111111110 8 111111111111111111111111111111111111111110 9 111111111111111111111111111111111111111110 111111111111111111111111111111111111111110 1 111111111111111111111111111111111111111110 2 111111111111111111111111111111111111111110 3 000000000000000000000000000000001000000000 4 111111111111111111111111111111111111111110 5 111111111111111111111111111111111111111110 6 000000000000000000000000000000000001000000 7 111111111111111111111111111111111111111110 8 111111111111111111111111111111111111111110 9 111111111111111111111111111111111111111110 111111111111111111111111111111111111111110 1 111111111111111111111111111111111111111110 2 000000000000000000000000000000000000000000 TABLEAU 2 --------- Eigenvalues of C2: {0,...,0, 1,1,1, 2, 33 } Bases for eigenspaces of nonzero eigenvalues: null(C2-33*I) null(C2-2*I) null(C2-1*I) ------------- ------------- ----------------- 1 1 1 1 1 0 0 1 2 1 2 1 2 0 0 1 3 0 3 0 3 0 0 0 4 0 4 0 4 0 0 0 5 1 5 1 5 0 0 1 6 0 6 -15.5 6 0 0 0 7 0 7 0 7 0 0 0 8 1 8 1 8 0 0 1 9 1 9 1 9 0 0 1 0 -15.5 0 0 0 1 1 1 1 1 0 0 1 2 1 2 1 2 0 0 1 3 1 3 1 3 0 0 1 4 1 4 1 4 0 0 1 5 0 5 0 5 -1 -1 -32 6 1 6 1 6 0 0 1 7 1 7 1 7 0 0 1 8 1 8 1 8 0 0 1 9 1 9 1 9 0 0 1 1 1 0 0 1 1 1 1 1 1 0 0 1 2 1 2 1 2 0 0 1 3 1 3 1 3 0 0 1 4 1 4 1 4 0 0 1 5 1 5 1 5 0 0 1 6 1 6 1 6 0 0 1 7 1 7 1 7 0 0 1 8 1 8 1 8 0 0 1 9 1 9 1 9 0 0 1 1 1 0 0 1 1 1 1 1 1 0 0 1 2 1 2 1 2 0 0 1 3 0 3 0 3 1 0 0 4 1 4 1 4 0 0 1 5 1 5 1 5 0 0 1 6 0 6 0 6 0 1 0 7 1 7 1 7 0 0 1 8 1 8 1 8 0 0 1 9 1 9 1 9 0 0 1 1 1 0 0 1 1 1 1 1 1 0 0 1 2 0 2 0 2 0 0 0 Maximal cycle for tableau 2 (33 vertices): {1,2,5,8,9,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29, 30,31,32,34,35,37,38,39,40,41}