In [5]:
import os
os.chdir('/Users/albert/seelviz/graphfiles/LukeGraphs')

from argparse import ArgumentParser
from collections import OrderedDict
from subprocess import Popen
from scipy.stats import gaussian_kde

import numpy as np
import nibabel as nb
import networkx as nx
import os
import pickle

In [6]:
filename = 'Fear199localeq.5000.graphml'
G = nx.read_graphml(filename)

In [10]:
def scan_statistic(G, i):
    """
    Computes scan statistic-i on a set of graphs

    Required Parameters:
        G: graph
        i:
            - which scan statistic to compute
    """
    tmp = np.array(())
    for n in G.nodes():
        sg = nx.ego_graph(G, n, radius=i)
        tmp = np.append(tmp, np.sum([sg.get_edge_data(e[0], e[1])['weight']
                        for e in sg.edges()]))
        ss = tmp
    return ss

In [12]:
def density(data):
    """
    Computes density for metrics which return vectors

    Required parameters:
        data:
            - Dictionary of the vectors of data
    """
    dens = gaussian_kde(data)
    xs = np.linspace(0, 1.2*np.max(data), 1000)
    density = dens.pdf(xs)

    return {"xs": xs, "pdfs": density}

In [7]:
# NNZ - Number of non-zero edges
print len(nx.edges(G))


18665

In [14]:
# Degree sequence
temp_deg = np.array(nx.degree(G).values())
deg = density(temp_deg)
print deg


{'xs': array([  0.        ,   0.04324324,   0.08648649,   0.12972973,
         0.17297297,   0.21621622,   0.25945946,   0.3027027 ,
         0.34594595,   0.38918919,   0.43243243,   0.47567568,
         0.51891892,   0.56216216,   0.60540541,   0.64864865,
         0.69189189,   0.73513514,   0.77837838,   0.82162162,
         0.86486486,   0.90810811,   0.95135135,   0.99459459,
         1.03783784,   1.08108108,   1.12432432,   1.16756757,
         1.21081081,   1.25405405,   1.2972973 ,   1.34054054,
         1.38378378,   1.42702703,   1.47027027,   1.51351351,
         1.55675676,   1.6       ,   1.64324324,   1.68648649,
         1.72972973,   1.77297297,   1.81621622,   1.85945946,
         1.9027027 ,   1.94594595,   1.98918919,   2.03243243,
         2.07567568,   2.11891892,   2.16216216,   2.20540541,
         2.24864865,   2.29189189,   2.33513514,   2.37837838,
         2.42162162,   2.46486486,   2.50810811,   2.55135135,
         2.59459459,   2.63783784,   2.68108108,   2.72432432,
         2.76756757,   2.81081081,   2.85405405,   2.8972973 ,
         2.94054054,   2.98378378,   3.02702703,   3.07027027,
         3.11351351,   3.15675676,   3.2       ,   3.24324324,
         3.28648649,   3.32972973,   3.37297297,   3.41621622,
         3.45945946,   3.5027027 ,   3.54594595,   3.58918919,
         3.63243243,   3.67567568,   3.71891892,   3.76216216,
         3.80540541,   3.84864865,   3.89189189,   3.93513514,
         3.97837838,   4.02162162,   4.06486486,   4.10810811,
         4.15135135,   4.19459459,   4.23783784,   4.28108108,
         4.32432432,   4.36756757,   4.41081081,   4.45405405,
         4.4972973 ,   4.54054054,   4.58378378,   4.62702703,
         4.67027027,   4.71351351,   4.75675676,   4.8       ,
         4.84324324,   4.88648649,   4.92972973,   4.97297297,
         5.01621622,   5.05945946,   5.1027027 ,   5.14594595,
         5.18918919,   5.23243243,   5.27567568,   5.31891892,
         5.36216216,   5.40540541,   5.44864865,   5.49189189,
         5.53513514,   5.57837838,   5.62162162,   5.66486486,
         5.70810811,   5.75135135,   5.79459459,   5.83783784,
         5.88108108,   5.92432432,   5.96756757,   6.01081081,
         6.05405405,   6.0972973 ,   6.14054054,   6.18378378,
         6.22702703,   6.27027027,   6.31351351,   6.35675676,
         6.4       ,   6.44324324,   6.48648649,   6.52972973,
         6.57297297,   6.61621622,   6.65945946,   6.7027027 ,
         6.74594595,   6.78918919,   6.83243243,   6.87567568,
         6.91891892,   6.96216216,   7.00540541,   7.04864865,
         7.09189189,   7.13513514,   7.17837838,   7.22162162,
         7.26486486,   7.30810811,   7.35135135,   7.39459459,
         7.43783784,   7.48108108,   7.52432432,   7.56756757,
         7.61081081,   7.65405405,   7.6972973 ,   7.74054054,
         7.78378378,   7.82702703,   7.87027027,   7.91351351,
         7.95675676,   8.        ,   8.04324324,   8.08648649,
         8.12972973,   8.17297297,   8.21621622,   8.25945946,
         8.3027027 ,   8.34594595,   8.38918919,   8.43243243,
         8.47567568,   8.51891892,   8.56216216,   8.60540541,
         8.64864865,   8.69189189,   8.73513514,   8.77837838,
         8.82162162,   8.86486486,   8.90810811,   8.95135135,
         8.99459459,   9.03783784,   9.08108108,   9.12432432,
         9.16756757,   9.21081081,   9.25405405,   9.2972973 ,
         9.34054054,   9.38378378,   9.42702703,   9.47027027,
         9.51351351,   9.55675676,   9.6       ,   9.64324324,
         9.68648649,   9.72972973,   9.77297297,   9.81621622,
         9.85945946,   9.9027027 ,   9.94594595,   9.98918919,
        10.03243243,  10.07567568,  10.11891892,  10.16216216,
        10.20540541,  10.24864865,  10.29189189,  10.33513514,
        10.37837838,  10.42162162,  10.46486486,  10.50810811,
        10.55135135,  10.59459459,  10.63783784,  10.68108108,
        10.72432432,  10.76756757,  10.81081081,  10.85405405,
        10.8972973 ,  10.94054054,  10.98378378,  11.02702703,
        11.07027027,  11.11351351,  11.15675676,  11.2       ,
        11.24324324,  11.28648649,  11.32972973,  11.37297297,
        11.41621622,  11.45945946,  11.5027027 ,  11.54594595,
        11.58918919,  11.63243243,  11.67567568,  11.71891892,
        11.76216216,  11.80540541,  11.84864865,  11.89189189,
        11.93513514,  11.97837838,  12.02162162,  12.06486486,
        12.10810811,  12.15135135,  12.19459459,  12.23783784,
        12.28108108,  12.32432432,  12.36756757,  12.41081081,
        12.45405405,  12.4972973 ,  12.54054054,  12.58378378,
        12.62702703,  12.67027027,  12.71351351,  12.75675676,
        12.8       ,  12.84324324,  12.88648649,  12.92972973,
        12.97297297,  13.01621622,  13.05945946,  13.1027027 ,
        13.14594595,  13.18918919,  13.23243243,  13.27567568,
        13.31891892,  13.36216216,  13.40540541,  13.44864865,
        13.49189189,  13.53513514,  13.57837838,  13.62162162,
        13.66486486,  13.70810811,  13.75135135,  13.79459459,
        13.83783784,  13.88108108,  13.92432432,  13.96756757,
        14.01081081,  14.05405405,  14.0972973 ,  14.14054054,
        14.18378378,  14.22702703,  14.27027027,  14.31351351,
        14.35675676,  14.4       ,  14.44324324,  14.48648649,
        14.52972973,  14.57297297,  14.61621622,  14.65945946,
        14.7027027 ,  14.74594595,  14.78918919,  14.83243243,
        14.87567568,  14.91891892,  14.96216216,  15.00540541,
        15.04864865,  15.09189189,  15.13513514,  15.17837838,
        15.22162162,  15.26486486,  15.30810811,  15.35135135,
        15.39459459,  15.43783784,  15.48108108,  15.52432432,
        15.56756757,  15.61081081,  15.65405405,  15.6972973 ,
        15.74054054,  15.78378378,  15.82702703,  15.87027027,
        15.91351351,  15.95675676,  16.        ,  16.04324324,
        16.08648649,  16.12972973,  16.17297297,  16.21621622,
        16.25945946,  16.3027027 ,  16.34594595,  16.38918919,
        16.43243243,  16.47567568,  16.51891892,  16.56216216,
        16.60540541,  16.64864865,  16.69189189,  16.73513514,
        16.77837838,  16.82162162,  16.86486486,  16.90810811,
        16.95135135,  16.99459459,  17.03783784,  17.08108108,
        17.12432432,  17.16756757,  17.21081081,  17.25405405,
        17.2972973 ,  17.34054054,  17.38378378,  17.42702703,
        17.47027027,  17.51351351,  17.55675676,  17.6       ,
        17.64324324,  17.68648649,  17.72972973,  17.77297297,
        17.81621622,  17.85945946,  17.9027027 ,  17.94594595,
        17.98918919,  18.03243243,  18.07567568,  18.11891892,
        18.16216216,  18.20540541,  18.24864865,  18.29189189,
        18.33513514,  18.37837838,  18.42162162,  18.46486486,
        18.50810811,  18.55135135,  18.59459459,  18.63783784,
        18.68108108,  18.72432432,  18.76756757,  18.81081081,
        18.85405405,  18.8972973 ,  18.94054054,  18.98378378,
        19.02702703,  19.07027027,  19.11351351,  19.15675676,
        19.2       ,  19.24324324,  19.28648649,  19.32972973,
        19.37297297,  19.41621622,  19.45945946,  19.5027027 ,
        19.54594595,  19.58918919,  19.63243243,  19.67567568,
        19.71891892,  19.76216216,  19.80540541,  19.84864865,
        19.89189189,  19.93513514,  19.97837838,  20.02162162,
        20.06486486,  20.10810811,  20.15135135,  20.19459459,
        20.23783784,  20.28108108,  20.32432432,  20.36756757,
        20.41081081,  20.45405405,  20.4972973 ,  20.54054054,
        20.58378378,  20.62702703,  20.67027027,  20.71351351,
        20.75675676,  20.8       ,  20.84324324,  20.88648649,
        20.92972973,  20.97297297,  21.01621622,  21.05945946,
        21.1027027 ,  21.14594595,  21.18918919,  21.23243243,
        21.27567568,  21.31891892,  21.36216216,  21.40540541,
        21.44864865,  21.49189189,  21.53513514,  21.57837838,
        21.62162162,  21.66486486,  21.70810811,  21.75135135,
        21.79459459,  21.83783784,  21.88108108,  21.92432432,
        21.96756757,  22.01081081,  22.05405405,  22.0972973 ,
        22.14054054,  22.18378378,  22.22702703,  22.27027027,
        22.31351351,  22.35675676,  22.4       ,  22.44324324,
        22.48648649,  22.52972973,  22.57297297,  22.61621622,
        22.65945946,  22.7027027 ,  22.74594595,  22.78918919,
        22.83243243,  22.87567568,  22.91891892,  22.96216216,
        23.00540541,  23.04864865,  23.09189189,  23.13513514,
        23.17837838,  23.22162162,  23.26486486,  23.30810811,
        23.35135135,  23.39459459,  23.43783784,  23.48108108,
        23.52432432,  23.56756757,  23.61081081,  23.65405405,
        23.6972973 ,  23.74054054,  23.78378378,  23.82702703,
        23.87027027,  23.91351351,  23.95675676,  24.        ,
        24.04324324,  24.08648649,  24.12972973,  24.17297297,
        24.21621622,  24.25945946,  24.3027027 ,  24.34594595,
        24.38918919,  24.43243243,  24.47567568,  24.51891892,
        24.56216216,  24.60540541,  24.64864865,  24.69189189,
        24.73513514,  24.77837838,  24.82162162,  24.86486486,
        24.90810811,  24.95135135,  24.99459459,  25.03783784,
        25.08108108,  25.12432432,  25.16756757,  25.21081081,
        25.25405405,  25.2972973 ,  25.34054054,  25.38378378,
        25.42702703,  25.47027027,  25.51351351,  25.55675676,
        25.6       ,  25.64324324,  25.68648649,  25.72972973,
        25.77297297,  25.81621622,  25.85945946,  25.9027027 ,
        25.94594595,  25.98918919,  26.03243243,  26.07567568,
        26.11891892,  26.16216216,  26.20540541,  26.24864865,
        26.29189189,  26.33513514,  26.37837838,  26.42162162,
        26.46486486,  26.50810811,  26.55135135,  26.59459459,
        26.63783784,  26.68108108,  26.72432432,  26.76756757,
        26.81081081,  26.85405405,  26.8972973 ,  26.94054054,
        26.98378378,  27.02702703,  27.07027027,  27.11351351,
        27.15675676,  27.2       ,  27.24324324,  27.28648649,
        27.32972973,  27.37297297,  27.41621622,  27.45945946,
        27.5027027 ,  27.54594595,  27.58918919,  27.63243243,
        27.67567568,  27.71891892,  27.76216216,  27.80540541,
        27.84864865,  27.89189189,  27.93513514,  27.97837838,
        28.02162162,  28.06486486,  28.10810811,  28.15135135,
        28.19459459,  28.23783784,  28.28108108,  28.32432432,
        28.36756757,  28.41081081,  28.45405405,  28.4972973 ,
        28.54054054,  28.58378378,  28.62702703,  28.67027027,
        28.71351351,  28.75675676,  28.8       ,  28.84324324,
        28.88648649,  28.92972973,  28.97297297,  29.01621622,
        29.05945946,  29.1027027 ,  29.14594595,  29.18918919,
        29.23243243,  29.27567568,  29.31891892,  29.36216216,
        29.40540541,  29.44864865,  29.49189189,  29.53513514,
        29.57837838,  29.62162162,  29.66486486,  29.70810811,
        29.75135135,  29.79459459,  29.83783784,  29.88108108,
        29.92432432,  29.96756757,  30.01081081,  30.05405405,
        30.0972973 ,  30.14054054,  30.18378378,  30.22702703,
        30.27027027,  30.31351351,  30.35675676,  30.4       ,
        30.44324324,  30.48648649,  30.52972973,  30.57297297,
        30.61621622,  30.65945946,  30.7027027 ,  30.74594595,
        30.78918919,  30.83243243,  30.87567568,  30.91891892,
        30.96216216,  31.00540541,  31.04864865,  31.09189189,
        31.13513514,  31.17837838,  31.22162162,  31.26486486,
        31.30810811,  31.35135135,  31.39459459,  31.43783784,
        31.48108108,  31.52432432,  31.56756757,  31.61081081,
        31.65405405,  31.6972973 ,  31.74054054,  31.78378378,
        31.82702703,  31.87027027,  31.91351351,  31.95675676,
        32.        ,  32.04324324,  32.08648649,  32.12972973,
        32.17297297,  32.21621622,  32.25945946,  32.3027027 ,
        32.34594595,  32.38918919,  32.43243243,  32.47567568,
        32.51891892,  32.56216216,  32.60540541,  32.64864865,
        32.69189189,  32.73513514,  32.77837838,  32.82162162,
        32.86486486,  32.90810811,  32.95135135,  32.99459459,
        33.03783784,  33.08108108,  33.12432432,  33.16756757,
        33.21081081,  33.25405405,  33.2972973 ,  33.34054054,
        33.38378378,  33.42702703,  33.47027027,  33.51351351,
        33.55675676,  33.6       ,  33.64324324,  33.68648649,
        33.72972973,  33.77297297,  33.81621622,  33.85945946,
        33.9027027 ,  33.94594595,  33.98918919,  34.03243243,
        34.07567568,  34.11891892,  34.16216216,  34.20540541,
        34.24864865,  34.29189189,  34.33513514,  34.37837838,
        34.42162162,  34.46486486,  34.50810811,  34.55135135,
        34.59459459,  34.63783784,  34.68108108,  34.72432432,
        34.76756757,  34.81081081,  34.85405405,  34.8972973 ,
        34.94054054,  34.98378378,  35.02702703,  35.07027027,
        35.11351351,  35.15675676,  35.2       ,  35.24324324,
        35.28648649,  35.32972973,  35.37297297,  35.41621622,
        35.45945946,  35.5027027 ,  35.54594595,  35.58918919,
        35.63243243,  35.67567568,  35.71891892,  35.76216216,
        35.80540541,  35.84864865,  35.89189189,  35.93513514,
        35.97837838,  36.02162162,  36.06486486,  36.10810811,
        36.15135135,  36.19459459,  36.23783784,  36.28108108,
        36.32432432,  36.36756757,  36.41081081,  36.45405405,
        36.4972973 ,  36.54054054,  36.58378378,  36.62702703,
        36.67027027,  36.71351351,  36.75675676,  36.8       ,
        36.84324324,  36.88648649,  36.92972973,  36.97297297,
        37.01621622,  37.05945946,  37.1027027 ,  37.14594595,
        37.18918919,  37.23243243,  37.27567568,  37.31891892,
        37.36216216,  37.40540541,  37.44864865,  37.49189189,
        37.53513514,  37.57837838,  37.62162162,  37.66486486,
        37.70810811,  37.75135135,  37.79459459,  37.83783784,
        37.88108108,  37.92432432,  37.96756757,  38.01081081,
        38.05405405,  38.0972973 ,  38.14054054,  38.18378378,
        38.22702703,  38.27027027,  38.31351351,  38.35675676,
        38.4       ,  38.44324324,  38.48648649,  38.52972973,
        38.57297297,  38.61621622,  38.65945946,  38.7027027 ,
        38.74594595,  38.78918919,  38.83243243,  38.87567568,
        38.91891892,  38.96216216,  39.00540541,  39.04864865,
        39.09189189,  39.13513514,  39.17837838,  39.22162162,
        39.26486486,  39.30810811,  39.35135135,  39.39459459,
        39.43783784,  39.48108108,  39.52432432,  39.56756757,
        39.61081081,  39.65405405,  39.6972973 ,  39.74054054,
        39.78378378,  39.82702703,  39.87027027,  39.91351351,
        39.95675676,  40.        ,  40.04324324,  40.08648649,
        40.12972973,  40.17297297,  40.21621622,  40.25945946,
        40.3027027 ,  40.34594595,  40.38918919,  40.43243243,
        40.47567568,  40.51891892,  40.56216216,  40.60540541,
        40.64864865,  40.69189189,  40.73513514,  40.77837838,
        40.82162162,  40.86486486,  40.90810811,  40.95135135,
        40.99459459,  41.03783784,  41.08108108,  41.12432432,
        41.16756757,  41.21081081,  41.25405405,  41.2972973 ,
        41.34054054,  41.38378378,  41.42702703,  41.47027027,
        41.51351351,  41.55675676,  41.6       ,  41.64324324,
        41.68648649,  41.72972973,  41.77297297,  41.81621622,
        41.85945946,  41.9027027 ,  41.94594595,  41.98918919,
        42.03243243,  42.07567568,  42.11891892,  42.16216216,
        42.20540541,  42.24864865,  42.29189189,  42.33513514,
        42.37837838,  42.42162162,  42.46486486,  42.50810811,
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         5.17387607e-04,   5.05972706e-04,   4.94581542e-04,
         4.83230796e-04,   4.71937820e-04,   4.60720509e-04,
         4.49597156e-04,   4.38586302e-04,   4.27706584e-04,
         4.16976563e-04,   4.06414562e-04,   3.96038503e-04,
         3.85865734e-04,   3.75912873e-04,   3.66195654e-04,
         3.56728779e-04,   3.47525781e-04,   3.38598905e-04,
         3.29959000e-04,   3.21615419e-04,   3.13575951e-04,
         3.05846756e-04,   2.98432326e-04,   2.91335462e-04,
         2.84557264e-04,   2.78097148e-04,   2.71952869e-04,
         2.66120567e-04,   2.60594825e-04,   2.55368739e-04,
         2.50434001e-04,   2.45780994e-04,   2.41398889e-04,
         2.37275761e-04,   2.33398697e-04,   2.29753917e-04,
         2.26326897e-04,   2.23102491e-04,   2.20065053e-04,
         2.17198559e-04,   2.14486733e-04,   2.11913159e-04,
         2.09461405e-04,   2.07115130e-04,   2.04858195e-04,
         2.02674772e-04,   2.00549444e-04,   1.98467304e-04,
         1.96414047e-04,   1.94376067e-04,   1.92340538e-04,
         1.90295498e-04,   1.88229928e-04,   1.86133828e-04,
         1.83998280e-04,   1.81815518e-04,   1.79578981e-04,
         1.77283367e-04,   1.74924674e-04,   1.72500238e-04,
         1.70008756e-04,   1.67450304e-04,   1.64826342e-04,
         1.62139703e-04,   1.59394578e-04,   1.56596478e-04,
         1.53752183e-04,   1.50869685e-04,   1.47958102e-04,
         1.45027587e-04,   1.42089218e-04,   1.39154872e-04,
         1.36237086e-04,   1.33348910e-04,   1.30503740e-04,
         1.27715144e-04,   1.24996687e-04,   1.22361741e-04,
         1.19823297e-04,   1.17393775e-04,   1.15084837e-04,
         1.12907204e-04,   1.10870484e-04,   1.08983005e-04,
         1.07251671e-04,   1.05681825e-04,   1.04277140e-04,
         1.03039522e-04,   1.01969046e-04,   1.01063909e-04,
         1.00320415e-04,   9.97329849e-05,   9.92941894e-05,
         9.89948184e-05,   9.88239690e-05,   9.87691630e-05,
         9.88164873e-05,   9.89507567e-05,   9.91556967e-05,
         9.94141430e-05,   9.97082553e-05,   1.00019742e-04,
         1.00330090e-04,   1.00620802e-04,   1.00873632e-04,
         1.01070814e-04,   1.01195285e-04,   1.01230903e-04,
         1.01162638e-04,   1.00976759e-04,   1.00660991e-04,
         1.00204657e-04,   9.95987892e-05,   9.88362210e-05,
         9.79116466e-05,   9.68216577e-05,   9.55647506e-05,
         9.41413080e-05,   9.25535540e-05,   9.08054851e-05,
         8.89027788e-05,   8.68526809e-05,   8.46638750e-05,
         8.23463364e-05,   7.99111729e-05,   7.73704563e-05,
         7.47370463e-05,   7.20244114e-05,   6.92464482e-05,
         6.64173030e-05,   6.35511984e-05,   6.06622662e-05,
         5.77643905e-05,   5.48710614e-05,   5.19952424e-05,
         4.91492516e-05,   4.63446582e-05,   4.35921954e-05,
         4.09016894e-05,   3.82820048e-05,   3.57410063e-05,
         3.32855363e-05,   3.09214067e-05,   2.86534057e-05,
         2.64853167e-05,   2.44199494e-05,   2.24591804e-05,
         2.06040034e-05,   1.88545864e-05,   1.72103346e-05,
         1.56699578e-05,   1.42315412e-05,   1.28926171e-05,
         1.16502377e-05,   1.05010472e-05,   9.44135159e-06,
         8.46718638e-06,   7.57438111e-06,   6.75861955e-06,
         6.01549566e-06,   5.34056485e-06,   4.72939005e-06,
         4.17758283e-06,   3.68083925e-06,   3.23497064e-06,
         2.83592947e-06,   2.47983048e-06,   2.16296728e-06,
         1.88182492e-06,   1.63308846e-06,   1.41364829e-06,
         1.22060217e-06,   1.05125472e-06,   9.03114436e-07,
         7.73888827e-07,   6.61477836e-07,   5.63965987e-07,
         4.79613494e-07,   4.06846623e-07,   3.44247547e-07,
         2.90543918e-07,   2.44598338e-07,   2.05397890e-07,
         1.72043868e-07,   1.43741825e-07,   1.19792005e-07,
         9.95802535e-08,   8.25694370e-08,   6.82914156e-08,
         5.63395787e-08,   4.63619568e-08,   3.80549010e-08,
         3.11573209e-08,   2.54454587e-08,   2.07281778e-08,
         1.68427353e-08,   1.36510098e-08,   1.10361499e-08,
         8.89961152e-09,   7.15855158e-09,   5.74354349e-09,
         4.59658520e-09,   3.66936876e-09,   2.92178359e-09,
         2.32062717e-09,   1.83849875e-09,   1.45285390e-09,
         1.14519960e-09,   9.00411572e-10,   7.06157514e-10,
         5.52411533e-10,   4.31046899e-10,   3.35495692e-10,
         2.60465378e-10,   2.01703621e-10,   1.55803790e-10,
         1.20044696e-10,   9.22589627e-11,   7.07252988e-11,
         5.40806181e-11,   4.12485926e-11,   3.13817570e-11,
         2.38147490e-11,   1.80266652e-11,   1.36108551e-11,
         1.02507598e-11,   7.70064915e-12,   5.77031137e-12,
         4.31292386e-12,   3.21547372e-12,   2.39121579e-12,
         1.77375326e-12,   1.31240620e-12,   9.68598905e-13,
         7.13050525e-13,   5.23597139e-13,   3.83508379e-13,
         2.80190290e-13,   2.04188809e-13,   1.48426491e-13,
         1.07619641e-13,   7.78345259e-14,   5.61505045e-14,
         4.04050522e-14,   2.90013565e-14,   2.07635488e-14,
         1.48280993e-14,   1.05625802e-14,   7.50507753e-15,
         5.31913457e-15,   3.76034250e-15,   2.65163938e-15,
         1.86510011e-15,   1.30855043e-15,   9.15755246e-16,
         6.39247437e-16,   4.45101652e-16,   3.09136331e-16,
         2.14161560e-16,   1.47990427e-16,   1.02006151e-16,
         7.01325652e-17,   4.80965273e-17,   3.29009431e-17,
         2.24493414e-17,   1.52791605e-17,   1.03728002e-17,
         7.02414009e-18,   4.74450540e-18,   3.19660782e-18,
         2.14826771e-18,   1.44008483e-18,   9.62915947e-19,
         6.42228117e-19,   4.27258667e-19,   2.83526123e-19,
         1.87670455e-19,   1.23908005e-19,   8.16024984e-20,
         5.36053550e-20])}

In [18]:
# Compute Edge Weight 
temp_ew = (G.get_edge_data(e[0], e[1])['weight'] for e in G.edges())
## ew = density(temp_ew) "ValueError: `dataset` input should have multiple elements."
print temp_ew
# We don't have edge weights so this makes sense


<generator object <genexpr> at 0x10b59d0a0>

In [20]:
# Clustering Coefficients
nxc = nx.clustering 
temp_cc = nxc(G).values()
ccoefs = density(temp_cc)
print ccoefs


{'xs': array([ 0.        ,  0.0012012 ,  0.0024024 ,  0.0036036 ,  0.0048048 ,
        0.00600601,  0.00720721,  0.00840841,  0.00960961,  0.01081081,
        0.01201201,  0.01321321,  0.01441441,  0.01561562,  0.01681682,
        0.01801802,  0.01921922,  0.02042042,  0.02162162,  0.02282282,
        0.02402402,  0.02522523,  0.02642643,  0.02762763,  0.02882883,
        0.03003003,  0.03123123,  0.03243243,  0.03363363,  0.03483483,
        0.03603604,  0.03723724,  0.03843844,  0.03963964,  0.04084084,
        0.04204204,  0.04324324,  0.04444444,  0.04564565,  0.04684685,
        0.04804805,  0.04924925,  0.05045045,  0.05165165,  0.05285285,
        0.05405405,  0.05525526,  0.05645646,  0.05765766,  0.05885886,
        0.06006006,  0.06126126,  0.06246246,  0.06366366,  0.06486486,
        0.06606607,  0.06726727,  0.06846847,  0.06966967,  0.07087087,
        0.07207207,  0.07327327,  0.07447447,  0.07567568,  0.07687688,
        0.07807808,  0.07927928,  0.08048048,  0.08168168,  0.08288288,
        0.08408408,  0.08528529,  0.08648649,  0.08768769,  0.08888889,
        0.09009009,  0.09129129,  0.09249249,  0.09369369,  0.09489489,
        0.0960961 ,  0.0972973 ,  0.0984985 ,  0.0996997 ,  0.1009009 ,
        0.1021021 ,  0.1033033 ,  0.1045045 ,  0.10570571,  0.10690691,
        0.10810811,  0.10930931,  0.11051051,  0.11171171,  0.11291291,
        0.11411411,  0.11531532,  0.11651652,  0.11771772,  0.11891892,
        0.12012012,  0.12132132,  0.12252252,  0.12372372,  0.12492492,
        0.12612613,  0.12732733,  0.12852853,  0.12972973,  0.13093093,
        0.13213213,  0.13333333,  0.13453453,  0.13573574,  0.13693694,
        0.13813814,  0.13933934,  0.14054054,  0.14174174,  0.14294294,
        0.14414414,  0.14534535,  0.14654655,  0.14774775,  0.14894895,
        0.15015015,  0.15135135,  0.15255255,  0.15375375,  0.15495495,
        0.15615616,  0.15735736,  0.15855856,  0.15975976,  0.16096096,
        0.16216216,  0.16336336,  0.16456456,  0.16576577,  0.16696697,
        0.16816817,  0.16936937,  0.17057057,  0.17177177,  0.17297297,
        0.17417417,  0.17537538,  0.17657658,  0.17777778,  0.17897898,
        0.18018018,  0.18138138,  0.18258258,  0.18378378,  0.18498498,
        0.18618619,  0.18738739,  0.18858859,  0.18978979,  0.19099099,
        0.19219219,  0.19339339,  0.19459459,  0.1957958 ,  0.196997  ,
        0.1981982 ,  0.1993994 ,  0.2006006 ,  0.2018018 ,  0.203003  ,
        0.2042042 ,  0.20540541,  0.20660661,  0.20780781,  0.20900901,
        0.21021021,  0.21141141,  0.21261261,  0.21381381,  0.21501502,
        0.21621622,  0.21741742,  0.21861862,  0.21981982,  0.22102102,
        0.22222222,  0.22342342,  0.22462462,  0.22582583,  0.22702703,
        0.22822823,  0.22942943,  0.23063063,  0.23183183,  0.23303303,
        0.23423423,  0.23543544,  0.23663664,  0.23783784,  0.23903904,
        0.24024024,  0.24144144,  0.24264264,  0.24384384,  0.24504505,
        0.24624625,  0.24744745,  0.24864865,  0.24984985,  0.25105105,
        0.25225225,  0.25345345,  0.25465465,  0.25585586,  0.25705706,
        0.25825826,  0.25945946,  0.26066066,  0.26186186,  0.26306306,
        0.26426426,  0.26546547,  0.26666667,  0.26786787,  0.26906907,
        0.27027027,  0.27147147,  0.27267267,  0.27387387,  0.27507508,
        0.27627628,  0.27747748,  0.27867868,  0.27987988,  0.28108108,
        0.28228228,  0.28348348,  0.28468468,  0.28588589,  0.28708709,
        0.28828829,  0.28948949,  0.29069069,  0.29189189,  0.29309309,
        0.29429429,  0.2954955 ,  0.2966967 ,  0.2978979 ,  0.2990991 ,
        0.3003003 ,  0.3015015 ,  0.3027027 ,  0.3039039 ,  0.30510511,
        0.30630631,  0.30750751,  0.30870871,  0.30990991,  0.31111111,
        0.31231231,  0.31351351,  0.31471471,  0.31591592,  0.31711712,
        0.31831832,  0.31951952,  0.32072072,  0.32192192,  0.32312312,
        0.32432432,  0.32552553,  0.32672673,  0.32792793,  0.32912913,
        0.33033033,  0.33153153,  0.33273273,  0.33393393,  0.33513514,
        0.33633634,  0.33753754,  0.33873874,  0.33993994,  0.34114114,
        0.34234234,  0.34354354,  0.34474474,  0.34594595,  0.34714715,
        0.34834835,  0.34954955,  0.35075075,  0.35195195,  0.35315315,
        0.35435435,  0.35555556,  0.35675676,  0.35795796,  0.35915916,
        0.36036036,  0.36156156,  0.36276276,  0.36396396,  0.36516517,
        0.36636637,  0.36756757,  0.36876877,  0.36996997,  0.37117117,
        0.37237237,  0.37357357,  0.37477477,  0.37597598,  0.37717718,
        0.37837838,  0.37957958,  0.38078078,  0.38198198,  0.38318318,
        0.38438438,  0.38558559,  0.38678679,  0.38798799,  0.38918919,
        0.39039039,  0.39159159,  0.39279279,  0.39399399,  0.3951952 ,
        0.3963964 ,  0.3975976 ,  0.3987988 ,  0.4       ,  0.4012012 ,
        0.4024024 ,  0.4036036 ,  0.4048048 ,  0.40600601,  0.40720721,
        0.40840841,  0.40960961,  0.41081081,  0.41201201,  0.41321321,
        0.41441441,  0.41561562,  0.41681682,  0.41801802,  0.41921922,
        0.42042042,  0.42162162,  0.42282282,  0.42402402,  0.42522523,
        0.42642643,  0.42762763,  0.42882883,  0.43003003,  0.43123123,
        0.43243243,  0.43363363,  0.43483483,  0.43603604,  0.43723724,
        0.43843844,  0.43963964,  0.44084084,  0.44204204,  0.44324324,
        0.44444444,  0.44564565,  0.44684685,  0.44804805,  0.44924925,
        0.45045045,  0.45165165,  0.45285285,  0.45405405,  0.45525526,
        0.45645646,  0.45765766,  0.45885886,  0.46006006,  0.46126126,
        0.46246246,  0.46366366,  0.46486486,  0.46606607,  0.46726727,
        0.46846847,  0.46966967,  0.47087087,  0.47207207,  0.47327327,
        0.47447447,  0.47567568,  0.47687688,  0.47807808,  0.47927928,
        0.48048048,  0.48168168,  0.48288288,  0.48408408,  0.48528529,
        0.48648649,  0.48768769,  0.48888889,  0.49009009,  0.49129129,
        0.49249249,  0.49369369,  0.49489489,  0.4960961 ,  0.4972973 ,
        0.4984985 ,  0.4996997 ,  0.5009009 ,  0.5021021 ,  0.5033033 ,
        0.5045045 ,  0.50570571,  0.50690691,  0.50810811,  0.50930931,
        0.51051051,  0.51171171,  0.51291291,  0.51411411,  0.51531532,
        0.51651652,  0.51771772,  0.51891892,  0.52012012,  0.52132132,
        0.52252252,  0.52372372,  0.52492492,  0.52612613,  0.52732733,
        0.52852853,  0.52972973,  0.53093093,  0.53213213,  0.53333333,
        0.53453453,  0.53573574,  0.53693694,  0.53813814,  0.53933934,
        0.54054054,  0.54174174,  0.54294294,  0.54414414,  0.54534535,
        0.54654655,  0.54774775,  0.54894895,  0.55015015,  0.55135135,
        0.55255255,  0.55375375,  0.55495495,  0.55615616,  0.55735736,
        0.55855856,  0.55975976,  0.56096096,  0.56216216,  0.56336336,
        0.56456456,  0.56576577,  0.56696697,  0.56816817,  0.56936937,
        0.57057057,  0.57177177,  0.57297297,  0.57417417,  0.57537538,
        0.57657658,  0.57777778,  0.57897898,  0.58018018,  0.58138138,
        0.58258258,  0.58378378,  0.58498498,  0.58618619,  0.58738739,
        0.58858859,  0.58978979,  0.59099099,  0.59219219,  0.59339339,
        0.59459459,  0.5957958 ,  0.596997  ,  0.5981982 ,  0.5993994 ,
        0.6006006 ,  0.6018018 ,  0.603003  ,  0.6042042 ,  0.60540541,
        0.60660661,  0.60780781,  0.60900901,  0.61021021,  0.61141141,
        0.61261261,  0.61381381,  0.61501502,  0.61621622,  0.61741742,
        0.61861862,  0.61981982,  0.62102102,  0.62222222,  0.62342342,
        0.62462462,  0.62582583,  0.62702703,  0.62822823,  0.62942943,
        0.63063063,  0.63183183,  0.63303303,  0.63423423,  0.63543544,
        0.63663664,  0.63783784,  0.63903904,  0.64024024,  0.64144144,
        0.64264264,  0.64384384,  0.64504505,  0.64624625,  0.64744745,
        0.64864865,  0.64984985,  0.65105105,  0.65225225,  0.65345345,
        0.65465465,  0.65585586,  0.65705706,  0.65825826,  0.65945946,
        0.66066066,  0.66186186,  0.66306306,  0.66426426,  0.66546547,
        0.66666667,  0.66786787,  0.66906907,  0.67027027,  0.67147147,
        0.67267267,  0.67387387,  0.67507508,  0.67627628,  0.67747748,
        0.67867868,  0.67987988,  0.68108108,  0.68228228,  0.68348348,
        0.68468468,  0.68588589,  0.68708709,  0.68828829,  0.68948949,
        0.69069069,  0.69189189,  0.69309309,  0.69429429,  0.6954955 ,
        0.6966967 ,  0.6978979 ,  0.6990991 ,  0.7003003 ,  0.7015015 ,
        0.7027027 ,  0.7039039 ,  0.70510511,  0.70630631,  0.70750751,
        0.70870871,  0.70990991,  0.71111111,  0.71231231,  0.71351351,
        0.71471471,  0.71591592,  0.71711712,  0.71831832,  0.71951952,
        0.72072072,  0.72192192,  0.72312312,  0.72432432,  0.72552553,
        0.72672673,  0.72792793,  0.72912913,  0.73033033,  0.73153153,
        0.73273273,  0.73393393,  0.73513514,  0.73633634,  0.73753754,
        0.73873874,  0.73993994,  0.74114114,  0.74234234,  0.74354354,
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         2.02053610e+00,   2.01730098e+00,   2.01406316e+00,
         2.01082619e+00,   2.00759339e+00,   2.00436791e+00,
         2.00115269e+00,   1.99795050e+00,   1.99476391e+00,
         1.99159534e+00,   1.98844702e+00,   1.98532103e+00,
         1.98221930e+00,   1.97914360e+00,   1.97609554e+00,
         1.97307663e+00,   1.97008820e+00,   1.96713147e+00,
         1.96420754e+00,   1.96131737e+00,   1.95846178e+00,
         1.95564150e+00,   1.95285710e+00,   1.95010907e+00,
         1.94739773e+00,   1.94472330e+00,   1.94208587e+00,
         1.93948540e+00,   1.93692170e+00,   1.93439444e+00,
         1.93190317e+00,   1.92944727e+00,   1.92702597e+00,
         1.92463832e+00,   1.92228324e+00,   1.91995943e+00,
         1.91766543e+00,   1.91539959e+00,   1.91316007e+00,
         1.91094480e+00,   1.90875152e+00,   1.90657775e+00,
         1.90442078e+00,   1.90227768e+00,   1.90014529e+00,
         1.89802020e+00,   1.89589876e+00,   1.89377708e+00,
         1.89165103e+00,   1.88951623e+00,   1.88736805e+00,
         1.88520163e+00,   1.88301185e+00,   1.88079337e+00,
         1.87854061e+00,   1.87624778e+00,   1.87390885e+00,
         1.87151760e+00,   1.86906762e+00,   1.86655230e+00,
         1.86396487e+00,   1.86129841e+00,   1.85854586e+00,
         1.85570002e+00,   1.85275361e+00,   1.84969927e+00,
         1.84652957e+00,   1.84323702e+00,   1.83981416e+00,
         1.83625349e+00,   1.83254757e+00,   1.82868902e+00,
         1.82467050e+00,   1.82048483e+00,   1.81612492e+00,
         1.81158386e+00,   1.80685493e+00,   1.80193159e+00,
         1.79680758e+00,   1.79147685e+00,   1.78593368e+00,
         1.78017264e+00,   1.77418862e+00,   1.76797688e+00,
         1.76153307e+00,   1.75485320e+00,   1.74793372e+00,
         1.74077152e+00,   1.73336391e+00,   1.72570869e+00,
         1.71780414e+00,   1.70964899e+00,   1.70124252e+00,
         1.69258449e+00,   1.68367518e+00,   1.67451538e+00,
         1.66510642e+00,   1.65545014e+00,   1.64554891e+00,
         1.63540562e+00,   1.62502367e+00,   1.61440697e+00,
         1.60355996e+00,   1.59248753e+00,   1.58119510e+00,
         1.56968852e+00,   1.55797412e+00,   1.54605866e+00,
         1.53394934e+00,   1.52165376e+00,   1.50917990e+00,
         1.49653610e+00,   1.48373108e+00,   1.47077384e+00,
         1.45767371e+00,   1.44444029e+00,   1.43108341e+00,
         1.41761316e+00,   1.40403980e+00,   1.39037379e+00,
         1.37662571e+00,   1.36280628e+00,   1.34892630e+00,
         1.33499666e+00,   1.32102826e+00,   1.30703204e+00,
         1.29301891e+00,   1.27899975e+00,   1.26498539e+00,
         1.25098654e+00,   1.23701382e+00,   1.22307771e+00,
         1.20918852e+00,   1.19535638e+00,   1.18159122e+00,
         1.16790275e+00,   1.15430042e+00,   1.14079342e+00,
         1.12739065e+00,   1.11410073e+00,   1.10093195e+00,
         1.08789225e+00,   1.07498925e+00,   1.06223020e+00,
         1.04962198e+00,   1.03717108e+00,   1.02488361e+00,
         1.01276526e+00,   1.00082132e+00,   9.89056668e-01,
         9.77475760e-01,   9.66082621e-01,   9.54880847e-01,
         9.43873606e-01,   9.33063634e-01,   9.22453231e-01,
         9.12044270e-01,   9.01838193e-01,   8.91836019e-01,
         8.82038343e-01,   8.72445346e-01,   8.63056799e-01,
         8.53872070e-01,   8.44890135e-01,   8.36109582e-01,
         8.27528626e-01,   8.19145117e-01,   8.10956553e-01,
         8.02960092e-01,   7.95152565e-01,   7.87530488e-01,
         7.80090080e-01,   7.72827278e-01,   7.65737750e-01,
         7.58816911e-01,   7.52059944e-01,   7.45461813e-01,
         7.39017284e-01,   7.32720938e-01,   7.26567197e-01,
         7.20550333e-01,   7.14664495e-01,   7.08903721e-01,
         7.03261963e-01,   6.97733102e-01,   6.92310966e-01,
         6.86989352e-01,   6.81762042e-01,   6.76622822e-01,
         6.71565500e-01,   6.66583924e-01,   6.61672000e-01,
         6.56823706e-01,   6.52033112e-01,   6.47294393e-01,
         6.42601847e-01,   6.37949906e-01,   6.33333154e-01,
         6.28746338e-01,   6.24184381e-01,   6.19642395e-01,
         6.15115689e-01,   6.10599781e-01,   6.06090411e-01,
         6.01583542e-01,   5.97075373e-01,   5.92562344e-01,
         5.88041143e-01,   5.83508710e-01,   5.78962238e-01,
         5.74399184e-01,   5.69817262e-01,   5.65214451e-01,
         5.60588992e-01,   5.55939390e-01,   5.51264412e-01,
         5.46563082e-01,   5.41834683e-01,   5.37078752e-01,
         5.32295074e-01,   5.27483681e-01,   5.22644841e-01,
         5.17779057e-01,   5.12887060e-01,   5.07969798e-01,
         5.03028435e-01,   4.98064336e-01,   4.93079065e-01,
         4.88074374e-01,   4.83052193e-01,   4.78014625e-01,
         4.72963933e-01,   4.67902534e-01,   4.62832988e-01,
         4.57757992e-01,   4.52680365e-01,   4.47603046e-01,
         4.42529080e-01,   4.37461615e-01,   4.32403888e-01,
         4.27359218e-01,   4.22331002e-01,   4.17322704e-01,
         4.12337849e-01,   4.07380015e-01,   4.02452830e-01,
         3.97559961e-01,   3.92705112e-01,   3.87892018e-01,
         3.83124438e-01,   3.78406155e-01,   3.73740968e-01,
         3.69132687e-01,   3.64585137e-01,   3.60102147e-01,
         3.55687552e-01,   3.51345187e-01,   3.47078891e-01,
         3.42892499e-01,   3.38789843e-01,   3.34774751e-01,
         3.30851046e-01,   3.27022543e-01,   3.23293049e-01,
         3.19666364e-01,   3.16146275e-01,   3.12736561e-01,
         3.09440986e-01,   3.06263301e-01,   3.03207243e-01,
         3.00276529e-01,   2.97474859e-01,   2.94805910e-01,
         2.92273333e-01,   2.89880752e-01,   2.87631759e-01,
         2.85529910e-01,   2.83578718e-01,   2.81781651e-01,
         2.80142124e-01,   2.78663492e-01,   2.77349046e-01,
         2.76202001e-01,   2.75225490e-01,   2.74422553e-01,
         2.73796129e-01,   2.73349047e-01,   2.73084010e-01,
         2.73003588e-01,   2.73110204e-01,   2.73406120e-01,
         2.73893427e-01,   2.74574026e-01,   2.75449622e-01,
         2.76521700e-01,   2.77791517e-01,   2.79260085e-01,
         2.80928152e-01,   2.82796195e-01,   2.84864396e-01,
         2.87132631e-01,   2.89600456e-01,   2.92267088e-01,
         2.95131394e-01,   2.98191877e-01,   3.01446658e-01,
         3.04893469e-01,   3.08529638e-01,   3.12352076e-01,
         3.16357269e-01,   3.20541269e-01,   3.24899684e-01,
         3.29427673e-01,   3.34119937e-01,   3.38970719e-01,
         3.43973798e-01,   3.49122489e-01,   3.54409646e-01,
         3.59827657e-01,   3.65368457e-01,   3.71023528e-01,
         3.76783906e-01,   3.82640197e-01,   3.88582580e-01,
         3.94600826e-01,   4.00684313e-01,   4.06822040e-01,
         4.13002650e-01,   4.19214449e-01,   4.25445429e-01,
         4.31683293e-01,   4.37915482e-01,   4.44129203e-01,
         4.50311460e-01,   4.56449081e-01,   4.62528756e-01,
         4.68537068e-01,   4.74460530e-01,   4.80285620e-01,
         4.85998816e-01,   4.91586640e-01,   4.97035690e-01,
         5.02332685e-01,   5.07464499e-01,   5.12418204e-01,
         5.17181107e-01,   5.21740793e-01,   5.26085158e-01,
         5.30202454e-01,   5.34081321e-01,   5.37710827e-01,
         5.41080502e-01,   5.44180374e-01,   5.47000999e-01,
         5.49533497e-01,   5.51769575e-01,   5.53701563e-01,
         5.55322432e-01,   5.56625825e-01,   5.57606072e-01,
         5.58258213e-01,   5.58578014e-01,   5.58561982e-01,
         5.58207373e-01,   5.57512207e-01,   5.56475270e-01,
         5.55096116e-01,   5.53375075e-01,   5.51313244e-01,
         5.48912485e-01,   5.46175419e-01,   5.43105414e-01,
         5.39706574e-01,   5.35983722e-01,   5.31942385e-01,
         5.27588771e-01,   5.22929750e-01,   5.17972825e-01,
         5.12726111e-01,   5.07198301e-01,   5.01398641e-01,
         4.95336893e-01,   4.89023304e-01,   4.82468573e-01,
         4.75683811e-01,   4.68680506e-01,   4.61470486e-01,
         4.54065880e-01,   4.46479077e-01,   4.38722688e-01,
         4.30809508e-01,   4.22752474e-01,   4.14564625e-01,
         4.06259068e-01,   3.97848933e-01,   3.89347339e-01,
         3.80767355e-01,   3.72121966e-01,   3.63424037e-01,
         3.54686277e-01,   3.45921208e-01,   3.37141137e-01,
         3.28358119e-01,   3.19583935e-01,   3.10830065e-01,
         3.02107661e-01,   2.93427523e-01,   2.84800084e-01,
         2.76235385e-01,   2.67743060e-01,   2.59332321e-01,
         2.51011943e-01,   2.42790257e-01,   2.34675133e-01,
         2.26673980e-01,   2.18793737e-01,   2.11040867e-01,
         2.03421359e-01,   1.95940725e-01,   1.88604003e-01,
         1.81415757e-01,   1.74380085e-01,   1.67500623e-01,
         1.60780552e-01,   1.54222608e-01,   1.47829092e-01,
         1.41601876e-01,   1.35542424e-01,   1.29651796e-01,
         1.23930667e-01,   1.18379341e-01,   1.12997762e-01,
         1.07785537e-01,   1.02741945e-01,   9.78659589e-02,
         9.31562581e-02,   8.86112492e-02,   8.42290815e-02,
         8.00076644e-02,   7.59446850e-02,   7.20376254e-02,
         6.82837791e-02,   6.46802689e-02,   6.12240624e-02,
         5.79119889e-02,   5.47407554e-02,   5.17069613e-02,
         4.88071140e-02,   4.60376435e-02,   4.33949155e-02,
         4.08752459e-02,   3.84749127e-02,   3.61901688e-02,
         3.40172531e-02,   3.19524020e-02,   2.99918591e-02,
         2.81318855e-02,   2.63687683e-02,   2.46988295e-02,
         2.31184332e-02,   2.16239931e-02,   2.02119792e-02,
         1.88789230e-02,   1.76214237e-02,   1.64361522e-02,
         1.53198558e-02,   1.42693616e-02,   1.32815798e-02,
         1.23535061e-02,   1.14822241e-02,   1.06649070e-02,
         9.89881904e-03,   9.18131601e-03,   8.50984619e-03,
         7.88195035e-03,   7.29526168e-03,   6.74750533e-03,
         6.23649770e-03,   5.76014548e-03,   5.31644448e-03,
         4.90347815e-03,   4.51941609e-03,   4.16251221e-03,
         3.83110285e-03,   3.52360479e-03,   3.23851305e-03,
         2.97439869e-03,   2.72990648e-03,   2.50375258e-03,
         2.29472208e-03,   2.10166655e-03,   1.92350162e-03,
         1.75920447e-03,   1.60781136e-03,   1.46841520e-03,
         1.34016307e-03,   1.22225385e-03,   1.11393580e-03,
         1.01450429e-03,   9.23299468e-04,   8.39704051e-04,
         7.63141147e-04,   6.93072149e-04,   6.28994679e-04,
         5.70440616e-04,   5.16974173e-04,   4.68190058e-04,
         4.23711700e-04,   3.83189543e-04,   3.46299419e-04,
         3.12740979e-04,   2.82236210e-04,   2.54528008e-04,
         2.29378828e-04,   2.06569396e-04,   1.85897490e-04,
         1.67176783e-04,   1.50235751e-04,   1.34916637e-04,
         1.21074477e-04,   1.08576185e-04,   9.72996841e-05,
         8.71330980e-05,   7.79739888e-05,   6.97286432e-05,
         6.23114049e-05,   5.56440503e-05,   4.96552057e-05,
         4.42798044e-05,   3.94585804e-05,   3.51375982e-05,
         3.12678154e-05])}

In [22]:
# Scan Statistic-1 
temp_ss1 = scan_statistic(G, 1)
ss1 = density(temp_ss1)
print ss1


{'xs': array([   0.        ,    0.40840841,    0.81681682,    1.22522523,
          1.63363363,    2.04204204,    2.45045045,    2.85885886,
          3.26726727,    3.67567568,    4.08408408,    4.49249249,
          4.9009009 ,    5.30930931,    5.71771772,    6.12612613,
          6.53453453,    6.94294294,    7.35135135,    7.75975976,
          8.16816817,    8.57657658,    8.98498498,    9.39339339,
          9.8018018 ,   10.21021021,   10.61861862,   11.02702703,
         11.43543544,   11.84384384,   12.25225225,   12.66066066,
         13.06906907,   13.47747748,   13.88588589,   14.29429429,
         14.7027027 ,   15.11111111,   15.51951952,   15.92792793,
         16.33633634,   16.74474474,   17.15315315,   17.56156156,
         17.96996997,   18.37837838,   18.78678679,   19.1951952 ,
         19.6036036 ,   20.01201201,   20.42042042,   20.82882883,
         21.23723724,   21.64564565,   22.05405405,   22.46246246,
         22.87087087,   23.27927928,   23.68768769,   24.0960961 ,
         24.5045045 ,   24.91291291,   25.32132132,   25.72972973,
         26.13813814,   26.54654655,   26.95495495,   27.36336336,
         27.77177177,   28.18018018,   28.58858859,   28.996997  ,
         29.40540541,   29.81381381,   30.22222222,   30.63063063,
         31.03903904,   31.44744745,   31.85585586,   32.26426426,
         32.67267267,   33.08108108,   33.48948949,   33.8978979 ,
         34.30630631,   34.71471471,   35.12312312,   35.53153153,
         35.93993994,   36.34834835,   36.75675676,   37.16516517,
         37.57357357,   37.98198198,   38.39039039,   38.7987988 ,
         39.20720721,   39.61561562,   40.02402402,   40.43243243,
         40.84084084,   41.24924925,   41.65765766,   42.06606607,
         42.47447447,   42.88288288,   43.29129129,   43.6996997 ,
         44.10810811,   44.51651652,   44.92492492,   45.33333333,
         45.74174174,   46.15015015,   46.55855856,   46.96696697,
         47.37537538,   47.78378378,   48.19219219,   48.6006006 ,
         49.00900901,   49.41741742,   49.82582583,   50.23423423,
         50.64264264,   51.05105105,   51.45945946,   51.86786787,
         52.27627628,   52.68468468,   53.09309309,   53.5015015 ,
         53.90990991,   54.31831832,   54.72672673,   55.13513514,
         55.54354354,   55.95195195,   56.36036036,   56.76876877,
         57.17717718,   57.58558559,   57.99399399,   58.4024024 ,
         58.81081081,   59.21921922,   59.62762763,   60.03603604,
         60.44444444,   60.85285285,   61.26126126,   61.66966967,
         62.07807808,   62.48648649,   62.89489489,   63.3033033 ,
         63.71171171,   64.12012012,   64.52852853,   64.93693694,
         65.34534535,   65.75375375,   66.16216216,   66.57057057,
         66.97897898,   67.38738739,   67.7957958 ,   68.2042042 ,
         68.61261261,   69.02102102,   69.42942943,   69.83783784,
         70.24624625,   70.65465465,   71.06306306,   71.47147147,
         71.87987988,   72.28828829,   72.6966967 ,   73.10510511,
         73.51351351,   73.92192192,   74.33033033,   74.73873874,
         75.14714715,   75.55555556,   75.96396396,   76.37237237,
         76.78078078,   77.18918919,   77.5975976 ,   78.00600601,
         78.41441441,   78.82282282,   79.23123123,   79.63963964,
         80.04804805,   80.45645646,   80.86486486,   81.27327327,
         81.68168168,   82.09009009,   82.4984985 ,   82.90690691,
         83.31531532,   83.72372372,   84.13213213,   84.54054054,
         84.94894895,   85.35735736,   85.76576577,   86.17417417,
         86.58258258,   86.99099099,   87.3993994 ,   87.80780781,
         88.21621622,   88.62462462,   89.03303303,   89.44144144,
         89.84984985,   90.25825826,   90.66666667,   91.07507508,
         91.48348348,   91.89189189,   92.3003003 ,   92.70870871,
         93.11711712,   93.52552553,   93.93393393,   94.34234234,
         94.75075075,   95.15915916,   95.56756757,   95.97597598,
         96.38438438,   96.79279279,   97.2012012 ,   97.60960961,
         98.01801802,   98.42642643,   98.83483483,   99.24324324,
         99.65165165,  100.06006006,  100.46846847,  100.87687688,
        101.28528529,  101.69369369,  102.1021021 ,  102.51051051,
        102.91891892,  103.32732733,  103.73573574,  104.14414414,
        104.55255255,  104.96096096,  105.36936937,  105.77777778,
        106.18618619,  106.59459459,  107.003003  ,  107.41141141,
        107.81981982,  108.22822823,  108.63663664,  109.04504505,
        109.45345345,  109.86186186,  110.27027027,  110.67867868,
        111.08708709,  111.4954955 ,  111.9039039 ,  112.31231231,
        112.72072072,  113.12912913,  113.53753754,  113.94594595,
        114.35435435,  114.76276276,  115.17117117,  115.57957958,
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         6.85975850e-21,   3.88871341e-21,   2.19447852e-21,
         1.23277835e-21,   6.89393066e-22,   3.83775335e-22,
         2.12674504e-22,   1.17322688e-22,   6.44283153e-23,
         3.52208416e-23,   1.91668548e-23,   1.03831742e-23,
         5.59934951e-24,   3.00589050e-24,   1.60633776e-24,
         8.54532744e-25,   4.52531345e-25,   2.38559511e-25,
         1.25190943e-25,   6.53999150e-26,   3.40102286e-26,
         1.76063773e-26,   9.07315945e-27,   4.65452277e-27,
         2.37694892e-27,   1.20834962e-27,   6.11495738e-28,
         3.08050787e-28,   1.54482494e-28,   7.71195123e-29,
         3.83245736e-29,   1.89591315e-29,   9.33657509e-30,
         4.57704092e-30,   2.23362385e-30,   1.08508391e-30,
         5.24740577e-31,   2.52612019e-31,   1.21057418e-31,
         5.77506449e-32,   2.74252315e-32,   1.29649784e-32,
         6.10128515e-33])}

In [23]:
# EigenValues 
laplacian = nx.normalized_laplacian_matrix(G)
eigs = np.sort(np.linalg.eigvals(laplacian.A))[::-1]
print eigs


[  2.00000000e+00+0.j   2.00000000e+00+0.j   2.00000000e+00+0.j ...,
  -4.18339719e-15+0.j  -4.25129112e-15+0.j  -4.76591340e-15+0.j]

In [25]:
#Betweenness Centrality
nxbc = nx.algorithms.betweenness_centrality
temp_bc = (nxbc(G).values())
centrality = density(temp_bc)
print centrality


{'xs': array([  0.00000000e+00,   5.75934325e-05,   1.15186865e-04,
         1.72780298e-04,   2.30373730e-04,   2.87967163e-04,
         3.45560595e-04,   4.03154028e-04,   4.60747460e-04,
         5.18340893e-04,   5.75934325e-04,   6.33527758e-04,
         6.91121190e-04,   7.48714623e-04,   8.06308055e-04,
         8.63901488e-04,   9.21494920e-04,   9.79088353e-04,
         1.03668179e-03,   1.09427522e-03,   1.15186865e-03,
         1.20946208e-03,   1.26705552e-03,   1.32464895e-03,
         1.38224238e-03,   1.43983581e-03,   1.49742925e-03,
         1.55502268e-03,   1.61261611e-03,   1.67020954e-03,
         1.72780298e-03,   1.78539641e-03,   1.84298984e-03,
         1.90058327e-03,   1.95817671e-03,   2.01577014e-03,
         2.07336357e-03,   2.13095700e-03,   2.18855044e-03,
         2.24614387e-03,   2.30373730e-03,   2.36133073e-03,
         2.41892417e-03,   2.47651760e-03,   2.53411103e-03,
         2.59170446e-03,   2.64929790e-03,   2.70689133e-03,
         2.76448476e-03,   2.82207819e-03,   2.87967163e-03,
         2.93726506e-03,   2.99485849e-03,   3.05245192e-03,
         3.11004536e-03,   3.16763879e-03,   3.22523222e-03,
         3.28282565e-03,   3.34041909e-03,   3.39801252e-03,
         3.45560595e-03,   3.51319938e-03,   3.57079282e-03,
         3.62838625e-03,   3.68597968e-03,   3.74357311e-03,
         3.80116655e-03,   3.85875998e-03,   3.91635341e-03,
         3.97394684e-03,   4.03154028e-03,   4.08913371e-03,
         4.14672714e-03,   4.20432057e-03,   4.26191401e-03,
         4.31950744e-03,   4.37710087e-03,   4.43469430e-03,
         4.49228774e-03,   4.54988117e-03,   4.60747460e-03,
         4.66506803e-03,   4.72266147e-03,   4.78025490e-03,
         4.83784833e-03,   4.89544176e-03,   4.95303520e-03,
         5.01062863e-03,   5.06822206e-03,   5.12581549e-03,
         5.18340893e-03,   5.24100236e-03,   5.29859579e-03,
         5.35618922e-03,   5.41378266e-03,   5.47137609e-03,
         5.52896952e-03,   5.58656295e-03,   5.64415639e-03,
         5.70174982e-03,   5.75934325e-03,   5.81693669e-03,
         5.87453012e-03,   5.93212355e-03,   5.98971698e-03,
         6.04731042e-03,   6.10490385e-03,   6.16249728e-03,
         6.22009071e-03,   6.27768415e-03,   6.33527758e-03,
         6.39287101e-03,   6.45046444e-03,   6.50805788e-03,
         6.56565131e-03,   6.62324474e-03,   6.68083817e-03,
         6.73843161e-03,   6.79602504e-03,   6.85361847e-03,
         6.91121190e-03,   6.96880534e-03,   7.02639877e-03,
         7.08399220e-03,   7.14158563e-03,   7.19917907e-03,
         7.25677250e-03,   7.31436593e-03,   7.37195936e-03,
         7.42955280e-03,   7.48714623e-03,   7.54473966e-03,
         7.60233309e-03,   7.65992653e-03,   7.71751996e-03,
         7.77511339e-03,   7.83270682e-03,   7.89030026e-03,
         7.94789369e-03,   8.00548712e-03,   8.06308055e-03,
         8.12067399e-03,   8.17826742e-03,   8.23586085e-03,
         8.29345428e-03,   8.35104772e-03,   8.40864115e-03,
         8.46623458e-03,   8.52382801e-03,   8.58142145e-03,
         8.63901488e-03,   8.69660831e-03,   8.75420174e-03,
         8.81179518e-03,   8.86938861e-03,   8.92698204e-03,
         8.98457547e-03,   9.04216891e-03,   9.09976234e-03,
         9.15735577e-03,   9.21494920e-03,   9.27254264e-03,
         9.33013607e-03,   9.38772950e-03,   9.44532293e-03,
         9.50291637e-03,   9.56050980e-03,   9.61810323e-03,
         9.67569666e-03,   9.73329010e-03,   9.79088353e-03,
         9.84847696e-03,   9.90607039e-03,   9.96366383e-03,
         1.00212573e-02,   1.00788507e-02,   1.01364441e-02,
         1.01940376e-02,   1.02516310e-02,   1.03092244e-02,
         1.03668179e-02,   1.04244113e-02,   1.04820047e-02,
         1.05395982e-02,   1.05971916e-02,   1.06547850e-02,
         1.07123784e-02,   1.07699719e-02,   1.08275653e-02,
         1.08851587e-02,   1.09427522e-02,   1.10003456e-02,
         1.10579390e-02,   1.11155325e-02,   1.11731259e-02,
         1.12307193e-02,   1.12883128e-02,   1.13459062e-02,
         1.14034996e-02,   1.14610931e-02,   1.15186865e-02,
         1.15762799e-02,   1.16338734e-02,   1.16914668e-02,
         1.17490602e-02,   1.18066537e-02,   1.18642471e-02,
         1.19218405e-02,   1.19794340e-02,   1.20370274e-02,
         1.20946208e-02,   1.21522143e-02,   1.22098077e-02,
         1.22674011e-02,   1.23249946e-02,   1.23825880e-02,
         1.24401814e-02,   1.24977749e-02,   1.25553683e-02,
         1.26129617e-02,   1.26705552e-02,   1.27281486e-02,
         1.27857420e-02,   1.28433355e-02,   1.29009289e-02,
         1.29585223e-02,   1.30161158e-02,   1.30737092e-02,
         1.31313026e-02,   1.31888960e-02,   1.32464895e-02,
         1.33040829e-02,   1.33616763e-02,   1.34192698e-02,
         1.34768632e-02,   1.35344566e-02,   1.35920501e-02,
         1.36496435e-02,   1.37072369e-02,   1.37648304e-02,
         1.38224238e-02,   1.38800172e-02,   1.39376107e-02,
         1.39952041e-02,   1.40527975e-02,   1.41103910e-02,
         1.41679844e-02,   1.42255778e-02,   1.42831713e-02,
         1.43407647e-02,   1.43983581e-02,   1.44559516e-02,
         1.45135450e-02,   1.45711384e-02,   1.46287319e-02,
         1.46863253e-02,   1.47439187e-02,   1.48015122e-02,
         1.48591056e-02,   1.49166990e-02,   1.49742925e-02,
         1.50318859e-02,   1.50894793e-02,   1.51470728e-02,
         1.52046662e-02,   1.52622596e-02,   1.53198531e-02,
         1.53774465e-02,   1.54350399e-02,   1.54926333e-02,
         1.55502268e-02,   1.56078202e-02,   1.56654136e-02,
         1.57230071e-02,   1.57806005e-02,   1.58381939e-02,
         1.58957874e-02,   1.59533808e-02,   1.60109742e-02,
         1.60685677e-02,   1.61261611e-02,   1.61837545e-02,
         1.62413480e-02,   1.62989414e-02,   1.63565348e-02,
         1.64141283e-02,   1.64717217e-02,   1.65293151e-02,
         1.65869086e-02,   1.66445020e-02,   1.67020954e-02,
         1.67596889e-02,   1.68172823e-02,   1.68748757e-02,
         1.69324692e-02,   1.69900626e-02,   1.70476560e-02,
         1.71052495e-02,   1.71628429e-02,   1.72204363e-02,
         1.72780298e-02,   1.73356232e-02,   1.73932166e-02,
         1.74508101e-02,   1.75084035e-02,   1.75659969e-02,
         1.76235904e-02,   1.76811838e-02,   1.77387772e-02,
         1.77963707e-02,   1.78539641e-02,   1.79115575e-02,
         1.79691509e-02,   1.80267444e-02,   1.80843378e-02,
         1.81419312e-02,   1.81995247e-02,   1.82571181e-02,
         1.83147115e-02,   1.83723050e-02,   1.84298984e-02,
         1.84874918e-02,   1.85450853e-02,   1.86026787e-02,
         1.86602721e-02,   1.87178656e-02,   1.87754590e-02,
         1.88330524e-02,   1.88906459e-02,   1.89482393e-02,
         1.90058327e-02,   1.90634262e-02,   1.91210196e-02,
         1.91786130e-02,   1.92362065e-02,   1.92937999e-02,
         1.93513933e-02,   1.94089868e-02,   1.94665802e-02,
         1.95241736e-02,   1.95817671e-02,   1.96393605e-02,
         1.96969539e-02,   1.97545474e-02,   1.98121408e-02,
         1.98697342e-02,   1.99273277e-02,   1.99849211e-02,
         2.00425145e-02,   2.01001080e-02,   2.01577014e-02,
         2.02152948e-02,   2.02728882e-02,   2.03304817e-02,
         2.03880751e-02,   2.04456685e-02,   2.05032620e-02,
         2.05608554e-02,   2.06184488e-02,   2.06760423e-02,
         2.07336357e-02,   2.07912291e-02,   2.08488226e-02,
         2.09064160e-02,   2.09640094e-02,   2.10216029e-02,
         2.10791963e-02,   2.11367897e-02,   2.11943832e-02,
         2.12519766e-02,   2.13095700e-02,   2.13671635e-02,
         2.14247569e-02,   2.14823503e-02,   2.15399438e-02,
         2.15975372e-02,   2.16551306e-02,   2.17127241e-02,
         2.17703175e-02,   2.18279109e-02,   2.18855044e-02,
         2.19430978e-02,   2.20006912e-02,   2.20582847e-02,
         2.21158781e-02,   2.21734715e-02,   2.22310650e-02,
         2.22886584e-02,   2.23462518e-02,   2.24038453e-02,
         2.24614387e-02,   2.25190321e-02,   2.25766256e-02,
         2.26342190e-02,   2.26918124e-02,   2.27494058e-02,
         2.28069993e-02,   2.28645927e-02,   2.29221861e-02,
         2.29797796e-02,   2.30373730e-02,   2.30949664e-02,
         2.31525599e-02,   2.32101533e-02,   2.32677467e-02,
         2.33253402e-02,   2.33829336e-02,   2.34405270e-02,
         2.34981205e-02,   2.35557139e-02,   2.36133073e-02,
         2.36709008e-02,   2.37284942e-02,   2.37860876e-02,
         2.38436811e-02,   2.39012745e-02,   2.39588679e-02,
         2.40164614e-02,   2.40740548e-02,   2.41316482e-02,
         2.41892417e-02,   2.42468351e-02,   2.43044285e-02,
         2.43620220e-02,   2.44196154e-02,   2.44772088e-02,
         2.45348023e-02,   2.45923957e-02,   2.46499891e-02,
         2.47075826e-02,   2.47651760e-02,   2.48227694e-02,
         2.48803629e-02,   2.49379563e-02,   2.49955497e-02,
         2.50531431e-02,   2.51107366e-02,   2.51683300e-02,
         2.52259234e-02,   2.52835169e-02,   2.53411103e-02,
         2.53987037e-02,   2.54562972e-02,   2.55138906e-02,
         2.55714840e-02,   2.56290775e-02,   2.56866709e-02,
         2.57442643e-02,   2.58018578e-02,   2.58594512e-02,
         2.59170446e-02,   2.59746381e-02,   2.60322315e-02,
         2.60898249e-02,   2.61474184e-02,   2.62050118e-02,
         2.62626052e-02,   2.63201987e-02,   2.63777921e-02,
         2.64353855e-02,   2.64929790e-02,   2.65505724e-02,
         2.66081658e-02,   2.66657593e-02,   2.67233527e-02,
         2.67809461e-02,   2.68385396e-02,   2.68961330e-02,
         2.69537264e-02,   2.70113199e-02,   2.70689133e-02,
         2.71265067e-02,   2.71841002e-02,   2.72416936e-02,
         2.72992870e-02,   2.73568804e-02,   2.74144739e-02,
         2.74720673e-02,   2.75296607e-02,   2.75872542e-02,
         2.76448476e-02,   2.77024410e-02,   2.77600345e-02,
         2.78176279e-02,   2.78752213e-02,   2.79328148e-02,
         2.79904082e-02,   2.80480016e-02,   2.81055951e-02,
         2.81631885e-02,   2.82207819e-02,   2.82783754e-02,
         2.83359688e-02,   2.83935622e-02,   2.84511557e-02,
         2.85087491e-02,   2.85663425e-02,   2.86239360e-02,
         2.86815294e-02,   2.87391228e-02,   2.87967163e-02,
         2.88543097e-02,   2.89119031e-02,   2.89694966e-02,
         2.90270900e-02,   2.90846834e-02,   2.91422769e-02,
         2.91998703e-02,   2.92574637e-02,   2.93150572e-02,
         2.93726506e-02,   2.94302440e-02,   2.94878375e-02,
         2.95454309e-02,   2.96030243e-02,   2.96606178e-02,
         2.97182112e-02,   2.97758046e-02,   2.98333980e-02,
         2.98909915e-02,   2.99485849e-02,   3.00061783e-02,
         3.00637718e-02,   3.01213652e-02,   3.01789586e-02,
         3.02365521e-02,   3.02941455e-02,   3.03517389e-02,
         3.04093324e-02,   3.04669258e-02,   3.05245192e-02,
         3.05821127e-02,   3.06397061e-02,   3.06972995e-02,
         3.07548930e-02,   3.08124864e-02,   3.08700798e-02,
         3.09276733e-02,   3.09852667e-02,   3.10428601e-02,
         3.11004536e-02,   3.11580470e-02,   3.12156404e-02,
         3.12732339e-02,   3.13308273e-02,   3.13884207e-02,
         3.14460142e-02,   3.15036076e-02,   3.15612010e-02,
         3.16187945e-02,   3.16763879e-02,   3.17339813e-02,
         3.17915748e-02,   3.18491682e-02,   3.19067616e-02,
         3.19643551e-02,   3.20219485e-02,   3.20795419e-02,
         3.21371353e-02,   3.21947288e-02,   3.22523222e-02,
         3.23099156e-02,   3.23675091e-02,   3.24251025e-02,
         3.24826959e-02,   3.25402894e-02,   3.25978828e-02,
         3.26554762e-02,   3.27130697e-02,   3.27706631e-02,
         3.28282565e-02,   3.28858500e-02,   3.29434434e-02,
         3.30010368e-02,   3.30586303e-02,   3.31162237e-02,
         3.31738171e-02,   3.32314106e-02,   3.32890040e-02,
         3.33465974e-02,   3.34041909e-02,   3.34617843e-02,
         3.35193777e-02,   3.35769712e-02,   3.36345646e-02,
         3.36921580e-02,   3.37497515e-02,   3.38073449e-02,
         3.38649383e-02,   3.39225318e-02,   3.39801252e-02,
         3.40377186e-02,   3.40953121e-02,   3.41529055e-02,
         3.42104989e-02,   3.42680924e-02,   3.43256858e-02,
         3.43832792e-02,   3.44408727e-02,   3.44984661e-02,
         3.45560595e-02,   3.46136529e-02,   3.46712464e-02,
         3.47288398e-02,   3.47864332e-02,   3.48440267e-02,
         3.49016201e-02,   3.49592135e-02,   3.50168070e-02,
         3.50744004e-02,   3.51319938e-02,   3.51895873e-02,
         3.52471807e-02,   3.53047741e-02,   3.53623676e-02,
         3.54199610e-02,   3.54775544e-02,   3.55351479e-02,
         3.55927413e-02,   3.56503347e-02,   3.57079282e-02,
         3.57655216e-02,   3.58231150e-02,   3.58807085e-02,
         3.59383019e-02,   3.59958953e-02,   3.60534888e-02,
         3.61110822e-02,   3.61686756e-02,   3.62262691e-02,
         3.62838625e-02,   3.63414559e-02,   3.63990494e-02,
         3.64566428e-02,   3.65142362e-02,   3.65718297e-02,
         3.66294231e-02,   3.66870165e-02,   3.67446100e-02,
         3.68022034e-02,   3.68597968e-02,   3.69173902e-02,
         3.69749837e-02,   3.70325771e-02,   3.70901705e-02,
         3.71477640e-02,   3.72053574e-02,   3.72629508e-02,
         3.73205443e-02,   3.73781377e-02,   3.74357311e-02,
         3.74933246e-02,   3.75509180e-02,   3.76085114e-02,
         3.76661049e-02,   3.77236983e-02,   3.77812917e-02,
         3.78388852e-02,   3.78964786e-02,   3.79540720e-02,
         3.80116655e-02,   3.80692589e-02,   3.81268523e-02,
         3.81844458e-02,   3.82420392e-02,   3.82996326e-02,
         3.83572261e-02,   3.84148195e-02,   3.84724129e-02,
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