%pylab inline
import numpy as np

def hany_sajatertek(a):
    A = []
    ossz = 1
    a_s= eigvalsh(a)
    dim = len(a_s)

    for n in range(1, dim):
        if (abs(a_s[n]-a_s[0]) < 10**-10):
            ossz += 1
        else:
            A.append([a_s[0], ossz])
            ossz = 1
            a_s[0] = a_s[n]

    A.append([a_s[n], ossz])
    return A

a = array([[1,0,0,0],
         [0,0,1,0],
         [0,1,0,0],
         [0,0,0,2]])
hany_sajatertek(a)

g = {
'0': ['0', '1', '3', '4', '9', '10', '12'],
'1': ['0', '1', '2', '4', '5', '10', '11'],
'2': ['1', '2', '3', '5', '6', '11', '12'],
'3': ['0', '2', '3', '4', '6', '7', '12'],
'4': ['0', '1', '3', '4', '5', '7', '8'],
'5': ['1', '2', '4', '5', '6', '8', '9'],
'6': ['2', '3', '5', '6', '7', '9', '10'],
'7': ['3', '4', '6', '7', '8', '10', '11'],
'8': ['4', '5', '7', '8', '9', '11', '12'],
'9': ['0', '5', '6', '8', '9', '10', '12'],
'10': ['0', '1', '6', '7', '9', '10', '11'],
'11': ['1', '2', '7', '8', '10', '11', '12'],
'12': ['0', '2', '3', '8', '9', '11', '12'] }

keys=sorted(g.keys())
size=len(keys)

M = [ [0]*size for i in range(size) ]

for a,b in [(keys.index(a), keys.index(b)) for a, row in g.items() for b in row]:
    M[a][b] = 0 if (a==b) else 1

M

hany_sajatertek(M)