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1.1 root 1: C = <
2: 1 2 15 . . .
3: 2 1 3 . . .
4: 3 2 4 11 . .
5: 4 3 5 . . .
6: 5 4 6 7 . .
7: 6 5 8 . . .
8: 7 5 9 30 . .
9: 8 6 9 10 11 .
10: 9 7 8 30 . .
11: 10 8 12 30 31 34
12: 11 3 8 12 13 .
13: 12 10 11 34 36 .
14: 13 11 14 . . .
15: 14 13 15 16 38 .
16: 15 1 14 . . .
17: 16 14 17 20 35 37
18: 17 16 18 . . .
19: 18 17 19 . . .
20: 19 18 20 . . .
21: 20 16 19 21 . .
22: 21 20 22 . . .
23: 22 21 23 . . .
24: 23 22 24 35 . .
25: 24 23 25 39 . .
26: 25 24 . . . .
27: 26 27 33 39 . .
28: 27 26 32 . . .
29: 28 29 32 . . .
30: 29 28 30 . . .
31: 30 7 9 10 29 .
32: 31 10 32 . . .
33: 32 27 28 31 34 .
34: 33 26 34 . . .
35: 34 10 12 32 33 35
36: 35 16 23 34 36 .
37: 36 12 35 38 . .
38: 37 16 38 . . .
39: 38 14 36 37 . .
40: 39 24 26 . . .
41: >;
42:
43: <n, m> = size(C);
44: A = 0*ones(n,n);
45: for i=1:n, for j=2:m, k=c(i,j); if k>0, a(i,k)=1;
46: check = norm(A-A',1), if check > 0, return
47: <X,D> = eig(A+eye);
48: D = diag(D); D = D(n:-1:1)
49: X = X(:,n:-1:1);
50: <x(:,1)/sum(x(:,1)) x(:,2) x(:,3) x(:,19)>
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