In [80]:
import networkx as nx
import matplotlib.pyplot as plt
import warnings
import csv
import pandas as pd
from collections import defaultdict
warnings.filterwarnings('ignore')

%matplotlib inline

In [81]:
officers = set()
complaints = set()
investigators = set()
complaint_dict = defaultdict(list)

with open('data/allegations.csv') as csvfile:
    reader = csv.DictReader(csvfile)
    for row in reader:
        officer = row['officer_id']
        complaint = row['crid']
        investigator = row['investigator_id']
        
        officers.add(officer)
        complaints.add(complaint)
        investigators.add(investigator)
        complaint_dict[complaint].append(officer)

In [82]:
G = nx.Graph()
G.add_nodes_from(officers)
edges = [edge for edge in complaint_dict.values() if len(edge) > 1]

for officers in edges:
    for i, officer_a in enumerate(officers):
        for officer_b in officers[i + 1:]:
            if G.has_edge(officer_a, officer_b):
                G[officer_a][officer_b]['weight'] += 1
            else:
            # new edge. add with weight=1
                G.add_edge(officer_a, officer_b, weight=1)
                
nx.info(G)


Out[82]:
'Name: \nType: Graph\nNumber of nodes: 8924\nNumber of edges: 28728\nAverage degree:   6.4384'

In [83]:
sorted([(n, G.neighbors(n)) for n in G.nodes()], key=lambda x: len(x[1]), reverse=True)


Out[83]:
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   '609',
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 ('2179',
  ['8273',
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 ('4785',
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 ('5977',
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   '3050']),
 ('8230',
  ['1344',
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   '8219',
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   '4157',
   '3815',
   '6315']),
 ('8044',
  ['4542',
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   '864',
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   '1062',
   '7747',
   '4928',
   '7649',
   '1033',
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   '5527',
   '6156',
   '4611']),
 ('2847',
  ['8690',
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   '6387',
   '7784',
   '3149',
   '4596',
   '1123',
   '2030',
   '4060',
   '4719',
   '979',
   '1350',
   '7300',
   '8348']),
 ('4000',
  ['5616',
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   '4500',
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   '6623',
   '2624',
   '4508',
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   '667',
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   '118']),
 ('1085',
  ['2519',
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   '5286',
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 ('5817',
  ['5616',
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   '7400',
   '5369',
   '2398',
   '2360',
   '4702',
   '7491',
   '667',
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   '5066',
   '7443',
   '4425',
   '1707',
   '6623',
   '4330']),
 ('5045',
  ['5733',
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   '8676',
   '3976',
   '4851',
   '2841',
   '7667',
   '4752',
   '1794',
   '263',
   '7339',
   '8465',
   '5312',
   '3541',
   '5590',
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   '8157']),
 ('2495',
  ['7266',
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   '6289',
   '4163',
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   '575',
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   '518',
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 ('1685',
  ['2378',
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   '4250',
   '4932',
   '4080',
   '1130',
   '7917',
   '2862',
   '309',
   '675',
   '7658',
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 ('8379',
  ['8182',
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   '5195',
   '5844',
   '4804',
   '2530',
   '5006',
   '6206',
   '1724',
   '4345',
   '7334',
   '3339',
   '965',
   '7165',
   '6854',
   '4003',
   '5300']),
 ('1501',
  ['5640',
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   '8486',
   '7247',
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   '4566',
   '7824',
   '7857',
   '8411',
   '2073',
   '4171',
   '6820',
   '8546',
   '1148',
   '2364',
   '5344',
   '3402']),
 ('4859',
  ['7741',
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   '3957',
   '2910',
   '2429',
   '7317',
   '6227',
   '1305',
   '4303',
   '4232',
   '473',
   '4590',
   '3972',
   '7706',
   '4230',
   '8053']),
 ('1719',
  ['6849',
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   '4550',
   '4832',
   '1485',
   '2160',
   '7883',
   '3623',
   '2420',
   '471',
   '7531',
   '7392',
   '3862',
   '314',
   '7683',
   '3376',
   '7601']),
 ('6948',
  ['7436',
   '5495',
   '5264',
   '294',
   '8763',
   '1352',
   '8399',
   '3815',
   '4596',
   '2448',
   '2262',
   '8230',
   '3599',
   '7951',
   '3099',
   '6655',
   '4012']),
 ('5463',
  ['7737',
   '307',
   '1903',
   '5805',
   '2863',
   '5970',
   '1866',
   '7819',
   '7352',
   '1563',
   '1977',
   '8464',
   '7507',
   '8614',
   '4176',
   '2944',
   '2829']),
 ('3344',
  ['8425',
   '2180',
   '5063',
   '6855',
   '8655',
   '2397',
   '4143',
   '410',
   '351',
   '2428',
   '5885',
   '7938',
   '8468',
   '154',
   '4661',
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   '6705']),
 ('3611',
  ['5127',
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 ('5563',
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 ('7595',
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 ('4431',
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 ('830',
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 ('5602',
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 ('8677',
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 ('4329',
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 ('424',
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 ('1320',
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 ('8168',
  ['5516',
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   '8175',
   '7088',
   '8299',
   '3999',
   '1808',
   '701',
   '3066']),
 ...]

In [55]:
def extract_neighbor_edges(G, node):
    neighbors = G.neighbors(node)
    newG = nx.Graph()
    
    for n1, n2 in G.edges():
        if (n1 == node and n2 in neighbors) or (n1 in neighbors and n2 == node):
            newG.add_edge(n1, n2)
            
    return newG

In [57]:
fig = plt.figure(0)
newG = extract_neighbor_edges(G, '1166')
nx.draw(newG, with_labels=True)



In [65]:
fig = plt.figure(0)
degree_centralities = list(nx.degree_centrality(G).values())
# degree_centralities = [v for k, v in nx.degree_centrality(G).items()]
plt.hist(degree_centralities)
plt.title('Degree Centralities')


Out[65]:
<matplotlib.text.Text at 0x7f17f01e0780>

In [66]:
fig = plt.figure(1)
neighbors = [len(G.neighbors(node)) for node in G.nodes()]
plt.hist(neighbors)
plt.title('Number of Neighbors')


Out[66]:
<matplotlib.text.Text at 0x7f17f00ad8d0>

In [98]:
with open('degreecentralities.csv', 'w') as f:
    writer = csv.writer(f)
    for row in degree_cent.items():
        writer.writerow(row)

In [86]:
c = list(nx.k_clique_communities(G, 10))

In [87]:
c


Out[87]:
[frozenset({'1471',
            '1510',
            '1701',
            '2333',
            '2391',
            '2404',
            '2466',
            '2898',
            '3168',
            '3248',
            '3375',
            '3499',
            '3575',
            '3580',
            '3726',
            '4304',
            '4704',
            '4742',
            '4830',
            '5017',
            '5026',
            '5042',
            '5043',
            '5549',
            '5650',
            '5893',
            '6376',
            '6679',
            '6774',
            '6856',
            '7046',
            '7056',
            '7103',
            '7336',
            '7349',
            '775',
            '7777',
            '8014',
            '8312',
            '954'}),
 frozenset({'1130',
            '1342',
            '3201',
            '3294',
            '4967',
            '5609',
            '6200',
            '634',
            '7162',
            '8072',
            '8921'}),
 frozenset({'1530',
            '1539',
            '1921',
            '4588',
            '6780',
            '711',
            '7872',
            '8138',
            '8271',
            '8577',
            '8867'}),
 frozenset({'1294',
            '1614',
            '1773',
            '3087',
            '3093',
            '3787',
            '4869',
            '4909',
            '4947',
            '5028',
            '5066',
            '5315',
            '5573',
            '5748',
            '5800',
            '5816',
            '6398',
            '6525',
            '7277',
            '7687',
            '8215',
            '8293',
            '8499',
            '8772'}),
 frozenset({'3726',
            '3887',
            '5026',
            '5531',
            '607',
            '6138',
            '6300',
            '6361',
            '6514',
            '6698',
            '7529',
            '863',
            '939',
            '962'}),
 frozenset({'164',
            '1656',
            '1892',
            '2158',
            '2285',
            '2705',
            '3014',
            '3161',
            '3327',
            '3397',
            '3552',
            '370',
            '3711',
            '3939',
            '4119',
            '4343',
            '444',
            '4519',
            '4534',
            '4542',
            '4658',
            '4832',
            '4948',
            '4967',
            '5859',
            '5890',
            '6006',
            '6135',
            '6206',
            '6306',
            '6439',
            '6740',
            '7141',
            '7245',
            '7429',
            '7942',
            '8634'}),
 frozenset({'1393',
            '228',
            '2462',
            '3397',
            '3547',
            '4115',
            '4154',
            '5355',
            '6295',
            '7499',
            '7507',
            '8081',
            '8742'}),
 frozenset({'21',
            '2887',
            '399',
            '4381',
            '4896',
            '518',
            '5442',
            '5666',
            '6401',
            '8048'}),
 frozenset({'2295',
            '2524',
            '2667',
            '3091',
            '3672',
            '3876',
            '5955',
            '6641',
            '7224',
            '8865',
            '8923'}),
 frozenset({'1062',
            '3445',
            '3481',
            '5233',
            '5978',
            '6108',
            '6280',
            '6582',
            '7086',
            '7667',
            '8560'}),
 frozenset({'1419',
            '228',
            '2462',
            '3540',
            '4154',
            '5312',
            '6295',
            '8387',
            '8547',
            '8742'}),
 frozenset({'221',
            '2478',
            '3403',
            '3832',
            '3860',
            '3869',
            '4414',
            '5370',
            '824',
            '879'}),
 frozenset({'1158',
            '304',
            '3289',
            '3698',
            '3943',
            '4251',
            '4375',
            '5874',
            '6513',
            '7780',
            '8797'}),
 frozenset({'1370',
            '192',
            '2012',
            '3395',
            '5509',
            '5531',
            '6361',
            '6514',
            '6698',
            '7277',
            '7396'}),
 frozenset({'151',
            '1922',
            '2019',
            '2846',
            '3021',
            '4285',
            '5692',
            '6310',
            '7442',
            '8075'}),
 frozenset({'1881',
            '3667',
            '3710',
            '5593',
            '5922',
            '6273',
            '6310',
            '7171',
            '7319',
            '7442'}),
 frozenset({'1049',
            '108',
            '1243',
            '1320',
            '1447',
            '1658',
            '1702',
            '1891',
            '2407',
            '278',
            '3741',
            '422',
            '5571',
            '613',
            '6527',
            '827',
            '8270'}),
 frozenset({'1145',
            '1148',
            '1501',
            '2073',
            '2364',
            '5344',
            '6820',
            '7247',
            '7857',
            '8411',
            '8486'}),
 frozenset({'1370',
            '2271',
            '3887',
            '453',
            '5471',
            '5531',
            '600',
            '6361',
            '6698',
            '7529'}),
 frozenset({'170',
            '2717',
            '3233',
            '3811',
            '4662',
            '5016',
            '5058',
            '5335',
            '5956',
            '5992',
            '6280',
            '6344',
            '7750'}),
 frozenset({'1916',
            '341',
            '4153',
            '4329',
            '4400',
            '4436',
            '4732',
            '4747',
            '6473',
            '6863',
            '7125',
            '7189',
            '7708',
            '8092'}),
 frozenset({'1158',
            '304',
            '3289',
            '3486',
            '4009',
            '4251',
            '4375',
            '5874',
            '7374',
            '7780',
            '8797'}),
 frozenset({'1684',
            '304',
            '3289',
            '3486',
            '4111',
            '4375',
            '5601',
            '5874',
            '7780',
            '8797',
            '8838'}),
 frozenset({'1123',
            '1350',
            '2847',
            '3131',
            '4060',
            '4596',
            '7300',
            '738',
            '8348',
            '8690',
            '979'}),
 frozenset({'1366',
            '1370',
            '1419',
            '1761',
            '2014',
            '2414',
            '2944',
            '3297',
            '3541',
            '3800',
            '3893',
            '4154',
            '4477',
            '4706',
            '4995',
            '5033',
            '5527',
            '5805',
            '6295',
            '6634',
            '7167',
            '7352',
            '7408',
            '8387',
            '8742'}),
 frozenset({'1697',
            '1921',
            '2030',
            '3250',
            '5162',
            '6109',
            '6405',
            '6780',
            '7040',
            '7232',
            '8123',
            '8701'}),
 frozenset({'118',
            '2518',
            '2539',
            '2624',
            '2672',
            '4000',
            '4084',
            '4500',
            '4508',
            '5067',
            '5551',
            '5616',
            '6551',
            '6623',
            '667',
            '7055',
            '7867'}),
 frozenset({'2429',
            '3957',
            '4230',
            '4232',
            '4590',
            '473',
            '4859',
            '6227',
            '7317',
            '7741',
            '8053'}),
 frozenset({'1179',
            '3645',
            '370',
            '4119',
            '4832',
            '4978',
            '6371',
            '6410',
            '7245',
            '975'}),
 frozenset({'1105',
            '1572',
            '1820',
            '2158',
            '2159',
            '2656',
            '3469',
            '3679',
            '5164',
            '5279',
            '5643',
            '5811',
            '7489',
            '8132',
            '8481'}),
 frozenset({'1054',
            '1794',
            '2380',
            '3611',
            '5054',
            '5127',
            '517',
            '5749',
            '6726',
            '7437',
            '8798'}),
 frozenset({'1664',
            '1679',
            '3032',
            '4306',
            '4630',
            '468',
            '5685',
            '6632',
            '6723',
            '68',
            '7480'}),
 frozenset({'1641',
            '1645',
            '2593',
            '3103',
            '3256',
            '4672',
            '4991',
            '5111',
            '6634',
            '6993',
            '7798',
            '8113',
            '936'}),
 frozenset({'1383',
            '2408',
            '2429',
            '3000',
            '3267',
            '3573',
            '373',
            '4081',
            '4410',
            '4473',
            '5870',
            '6117',
            '7152',
            '7941',
            '7962'}),
 frozenset({'1370',
            '1890',
            '2012',
            '3395',
            '3461',
            '5531',
            '6361',
            '6514',
            '6698',
            '7277'}),
 frozenset({'1141',
            '1457',
            '1827',
            '2592',
            '343',
            '4003',
            '4009',
            '5826',
            '5961',
            '6028',
            '6713',
            '6856',
            '7393',
            '8567',
            '8730',
            '965'}),
 frozenset({'1112',
            '1242',
            '2661',
            '2800',
            '3357',
            '3721',
            '5119',
            '5402',
            '5641',
            '720'}),
 frozenset({'1469',
            '1614',
            '1892',
            '3060',
            '3881',
            '4162',
            '5811',
            '6264',
            '6902',
            '7507',
            '8071'}),
 frozenset({'1062',
            '1118',
            '1966',
            '2030',
            '2973',
            '3263',
            '5506',
            '6598',
            '8095',
            '8701'}),
 frozenset({'112',
            '2247',
            '2440',
            '299',
            '3758',
            '463',
            '4653',
            '4899',
            '6453',
            '6761',
            '6935',
            '7328',
            '7960'}),
 frozenset({'118',
            '1222',
            '1929',
            '1989',
            '2352',
            '2539',
            '2672',
            '5717',
            '5934',
            '667'}),
 frozenset({'1166',
            '1788',
            '2033',
            '2443',
            '2557',
            '2601',
            '3304',
            '3377',
            '362',
            '3693',
            '5113',
            '5498',
            '7295',
            '7688'}),
 frozenset({'2391',
            '2438',
            '2495',
            '3375',
            '4163',
            '4832',
            '518',
            '611',
            '7266',
            '7387',
            '7777'}),
 frozenset({'1701',
            '196',
            '2975',
            '3499',
            '4255',
            '5826',
            '5901',
            '6081',
            '6774',
            '7777'}),
 frozenset({'1109',
            '1212',
            '1256',
            '1538',
            '1898',
            '1928',
            '2057',
            '3728',
            '4134',
            '4638',
            '4698',
            '4749',
            '542',
            '5631',
            '5730',
            '5921',
            '5952',
            '6211',
            '6469',
            '6565',
            '6858',
            '7240',
            '7893',
            '8111',
            '8462',
            '8894',
            '963'}),
 frozenset({'1201',
            '2153',
            '2776',
            '3139',
            '5156',
            '5710',
            '6298',
            '7841',
            '8064',
            '8089',
            '8157',
            '8902'}),
 frozenset({'2338',
            '2498',
            '2654',
            '2755',
            '38',
            '4949',
            '5661',
            '6773',
            '7035',
            '8019',
            '8084',
            '8426',
            '8519',
            '8871'}),
 frozenset({'2179',
            '3014',
            '3327',
            '370',
            '444',
            '4658',
            '5693',
            '6135',
            '6973',
            '7321',
            '8017',
            '8273',
            '8634'}),
 frozenset({'1639',
            '1680',
            '2180',
            '2599',
            '2631',
            '3695',
            '4018',
            '4431',
            '4785',
            '4928',
            '6169',
            '6864',
            '8136',
            '8257',
            '852'}),
 frozenset({'1370',
            '1419',
            '2462',
            '3540',
            '4124',
            '4144',
            '4154',
            '4213',
            '4995',
            '6295',
            '7408',
            '7604',
            '8387',
            '8547',
            '8701',
            '8742'}),
 frozenset({'1485',
            '1741',
            '1906',
            '193',
            '2160',
            '2420',
            '3806',
            '4005',
            '4312',
            '4923',
            '5135',
            '5552',
            '5753',
            '7250',
            '8047',
            '8184'}),
 frozenset({'1435',
            '1645',
            '17',
            '1810',
            '2273',
            '2299',
            '2418',
            '2441',
            '3103',
            '3473',
            '3852',
            '4051',
            '4186',
            '4601',
            '5008',
            '6184',
            '6374',
            '6403',
            '6808',
            '6853',
            '7025',
            '7798',
            '8460',
            '8625',
            '936',
            '956'}),
 frozenset({'1335',
            '2235',
            '249',
            '2627',
            '2712',
            '3106',
            '5437',
            '5569',
            '582',
            '5851',
            '7116'}),
 frozenset({'1831',
            '2520',
            '2566',
            '3151',
            '3364',
            '362',
            '3914',
            '3950',
            '4383',
            '4542',
            '479',
            '5199',
            '5592',
            '6358'}),
 frozenset({'1581',
            '2049',
            '2383',
            '2426',
            '2777',
            '3087',
            '3093',
            '3540',
            '3901',
            '3951',
            '424',
            '5066',
            '5573',
            '5816',
            '6478',
            '7121',
            '7687'}),
 frozenset({'2408',
            '2429',
            '4027',
            '4127',
            '4662',
            '5016',
            '5992',
            '6344',
            '6630',
            '7750',
            '8879',
            '8888'}),
 frozenset({'2014',
            '3249',
            '3612',
            '4336',
            '5019',
            '5288',
            '5723',
            '5903',
            '6344',
            '7636'}),
 frozenset({'196',
            '2900',
            '3499',
            '4702',
            '4854',
            '5026',
            '5072',
            '5808',
            '5901',
            '6724',
            '6856',
            '7046',
            '7349',
            '8691',
            '8888'}),
 frozenset({'1034',
            '1342',
            '2621',
            '3161',
            '3175',
            '4187',
            '4270',
            '4392',
            '5156',
            '6200',
            '6667',
            '696',
            '7076',
            '7658',
            '7841',
            '8766',
            '8872'}),
 frozenset({'3520',
            '3830',
            '4392',
            '5176',
            '5243',
            '5642',
            '7076',
            '8132',
            '8766',
            '8872'}),
 frozenset({'1112',
            '2275',
            '2462',
            '2545',
            '2661',
            '3405',
            '4366',
            '4465',
            '4719',
            '720',
            '7712',
            '8310'}),
 frozenset({'1368',
            '170',
            '2717',
            '3233',
            '421',
            '4303',
            '5016',
            '5058',
            '6344',
            '7750',
            '8167'}),
 frozenset({'1737',
            '1898',
            '1952',
            '268',
            '2992',
            '3808',
            '3972',
            '4232',
            '4438',
            '5383',
            '8195'}),
 frozenset({'1200',
            '2998',
            '5224',
            '5635',
            '6343',
            '6377',
            '6962',
            '8066',
            '8228',
            '8247',
            '8370'}),
 frozenset({'1216',
            '2112',
            '274',
            '3847',
            '4452',
            '527',
            '6154',
            '6911',
            '7023',
            '724'}),
 frozenset({'1177',
            '15',
            '2329',
            '2330',
            '3163',
            '3454',
            '4727',
            '4766',
            '570',
            '643',
            '7090',
            '775',
            '7980',
            '8334',
            '897'}),
 frozenset({'2350',
            '2479',
            '3004',
            '4392',
            '5908',
            '6537',
            '7097',
            '7425',
            '7560',
            '852',
            '8542',
            '8766',
            '8872'}),
 frozenset({'1069',
            '2236',
            '2618',
            '3294',
            '3369',
            '4524',
            '465',
            '4926',
            '500',
            '5724',
            '6532',
            '6891',
            '7782'}),
 frozenset({'1216',
            '1923',
            '2112',
            '3847',
            '527',
            '6911',
            '7022',
            '7023',
            '724',
            '8834'}),
 frozenset({'1257',
            '1535',
            '3612',
            '4769',
            '578',
            '5902',
            '6499',
            '7264',
            '7758',
            '8879'}),
 frozenset({'116',
            '1164',
            '1166',
            '1437',
            '146',
            '1558',
            '2092',
            '2262',
            '2283',
            '2377',
            '243',
            '3067',
            '3332',
            '4608',
            '4639',
            '4643',
            '5953',
            '6270',
            '6447',
            '6544',
            '656',
            '7472',
            '7588',
            '7991',
            '8660',
            '974'}),
 frozenset({'1065',
            '1306',
            '1574',
            '2223',
            '2461',
            '256',
            '2651',
            '2806',
            '2819',
            '2855',
            '3362',
            '3450',
            '458',
            '463',
            '5014',
            '5068',
            '5314',
            '5458',
            '8094',
            '8148',
            '8184',
            '8383',
            '8531'}),
 frozenset({'1717',
            '1881',
            '4521',
            '5278',
            '5900',
            '621',
            '7107',
            '7319',
            '764',
            '7724',
            '8207'}),
 frozenset({'1007',
            '1185',
            '1422',
            '2808',
            '3178',
            '3364',
            '4542',
            '5199',
            '5452',
            '6588',
            '978'}),
 frozenset({'1820',
            '1904',
            '1970',
            '2600',
            '3294',
            '3674',
            '4027',
            '4634',
            '7076',
            '8634'}),
 frozenset({'1230',
            '1271',
            '1525',
            '1851',
            '2316',
            '2544',
            '2871',
            '2985',
            '3343',
            '3916',
            '4244',
            '4279',
            '4710',
            '4798',
            '6226',
            '6861',
            '6884',
            '7106',
            '7220',
            '8087',
            '8218',
            '8867'}),
 frozenset({'1257',
            '2405',
            '3811',
            '382',
            '5079',
            '578',
            '597',
            '6280',
            '7264',
            '7758'}),
 frozenset({'1820',
            '1904',
            '2410',
            '2542',
            '2600',
            '2692',
            '3624',
            '3674',
            '3939',
            '4187',
            '5859',
            '7076'}),
 frozenset({'1792',
            '214',
            '2427',
            '566',
            '6203',
            '6205',
            '630',
            '7133',
            '794',
            '949',
            '957'}),
 frozenset({'1046',
            '1232',
            '1890',
            '2012',
            '3395',
            '3461',
            '7064',
            '7273',
            '7277',
            '8059'}),
 frozenset({'136',
            '2542',
            '2979',
            '370',
            '4063',
            '465',
            '5165',
            '5243',
            '6410',
            '7076',
            '7646',
            '8061',
            '8132',
            '8905'}),
 frozenset({'3014',
            '3327',
            '3397',
            '444',
            '4581',
            '4594',
            '4658',
            '4948',
            '6135',
            '6929',
            '7859',
            '8634',
            '8797',
            '949'}),
 frozenset({'1824',
            '3393',
            '4112',
            '4929',
            '5096',
            '6206',
            '6513',
            '6537',
            '6736',
            '7425',
            '7860'}),
 frozenset({'1701',
            '2975',
            '4304',
            '4777',
            '5043',
            '6376',
            '6646',
            '7336',
            '7785',
            '8691'}),
 frozenset({'1613',
            '1880',
            '2378',
            '2556',
            '2659',
            '3792',
            '7092',
            '7647',
            '7983',
            '8106'}),
 frozenset({'1483',
            '2870',
            '3121',
            '3507',
            '3973',
            '5140',
            '5483',
            '5977',
            '7490',
            '7830'}),
 frozenset({'1618',
            '1641',
            '2288',
            '2298',
            '2593',
            '3256',
            '3359',
            '3881',
            '4038',
            '4672',
            '4837',
            '6634',
            '8222',
            '8607',
            '864',
            '8670'}),
 frozenset({'1490',
            '1945',
            '2498',
            '2755',
            '4872',
            '7035',
            '711',
            '8084',
            '8231',
            '939'}),
 frozenset({'1009',
            '134',
            '2272',
            '2299',
            '2442',
            '3417',
            '5008',
            '5280',
            '7030',
            '7449'}),
 frozenset({'1050',
            '2243',
            '2307',
            '2848',
            '4799',
            '4991',
            '5184',
            '5280',
            '5340',
            '5390',
            '6322',
            '7143',
            '8656'}),
 frozenset({'1454',
            '1776',
            '1897',
            '2816',
            '2956',
            '3174',
            '4906',
            '6308',
            '7127',
            '7475'}),
 frozenset({'1069',
            '1152',
            '3369',
            '3830',
            '4307',
            '500',
            '6606',
            '7128',
            '7169',
            '725',
            '7782'}),
 frozenset({'1538',
            '2226',
            '2367',
            '2720',
            '373',
            '4232',
            '5870',
            '7460',
            '7500',
            '7696'}),
 frozenset({'1550',
            '1595',
            '1898',
            '1952',
            '268',
            '3643',
            '3972',
            '4231',
            '4684',
            '5730',
            '5734',
            '7922'}),
 frozenset({'3014',
            '3327',
            '4301',
            '444',
            '4658',
            '5890',
            '6135',
            '7109',
            '8017',
            '8634'}),
 frozenset({'1166',
            '1694',
            '2622',
            '3182',
            '3242',
            '3830',
            '4608',
            '479',
            '4833',
            '7108',
            '7210'}),
 frozenset({'1444',
            '1613',
            '2',
            '2205',
            '2407',
            '2849',
            '2894',
            '3260',
            '4608',
            '6477',
            '7040',
            '724',
            '8149',
            '8264',
            '8391'}),
 frozenset({'1370',
            '1890',
            '2271',
            '3461',
            '3887',
            '5471',
            '5531',
            '600',
            '6361',
            '6698'}),
 frozenset({'1357',
            '2116',
            '2319',
            '315',
            '3789',
            '4850',
            '5514',
            '6199',
            '645',
            '7348',
            '7669',
            '8396'}),
 frozenset({'2414',
            '3270',
            '3297',
            '3846',
            '5527',
            '5805',
            '587',
            '7167',
            '7352',
            '8464',
            '8742'}),
 frozenset({'154',
            '2077',
            '2180',
            '2397',
            '2428',
            '3344',
            '351',
            '410',
            '4143',
            '6705',
            '7938',
            '8468',
            '8655'}),
 frozenset({'1218',
            '2099',
            '3400',
            '3547',
            '4162',
            '4223',
            '4408',
            '4426',
            '4460',
            '4930',
            '6018',
            '6059',
            '6264',
            '6902',
            '7363',
            '7507',
            '8133'}),
 frozenset({'1084',
            '1271',
            '1561',
            '1922',
            '2846',
            '4279',
            '6176',
            '7166',
            '7194',
            '8495'}),
 frozenset({'2429',
            '438',
            '5040',
            '5219',
            '5509',
            '5890',
            '5905',
            '618',
            '7558',
            '8634'}),
 frozenset({'2967',
            '3711',
            '4929',
            '608',
            '6206',
            '6536',
            '6736',
            '7245',
            '7334',
            '7425'}),
 frozenset({'1737',
            '268',
            '2992',
            '3972',
            '4231',
            '4233',
            '4684',
            '5133',
            '7052',
            '7552'}),
 frozenset({'1216',
            '1566',
            '2112',
            '3738',
            '3847',
            '5934',
            '6902',
            '6911',
            '7022',
            '7023',
            '8834'}),
 frozenset({'1685',
            '2378',
            '2862',
            '309',
            '4080',
            '4250',
            '4324',
            '4932',
            '4957',
            '6262',
            '6559',
            '7658',
            '7917'}),
 frozenset({'1133',
            '186',
            '2046',
            '2288',
            '3551',
            '3914',
            '4038',
            '4819',
            '4837',
            '5473',
            '5980',
            '7947',
            '8340',
            '864'}),
 frozenset({'2448',
            '294',
            '3099',
            '3599',
            '3815',
            '4596',
            '6948',
            '7436',
            '7951',
            '8230',
            '8399'}),
 frozenset({'1337',
            '1724',
            '2922',
            '3178',
            '4542',
            '4819',
            '5879',
            '5978',
            '6678',
            '8423'}),
 frozenset({'1158',
            '163',
            '1975',
            '2038',
            '3014',
            '3289',
            '3938',
            '4251',
            '4375',
            '4518',
            '5329',
            '5874',
            '6513',
            '7780',
            '8442',
            '8797'}),
 frozenset({'1183',
            '1725',
            '2082',
            '3302',
            '3690',
            '6202',
            '6411',
            '6571',
            '7338',
            '8066',
            '8234',
            '8589'}),
 frozenset({'1597',
            '341',
            '5767',
            '6086',
            '6204',
            '6740',
            '7380',
            '8141',
            '8236',
            '8431'}),
 frozenset({'1136',
            '3380',
            '4347',
            '5414',
            '5707',
            '6588',
            '7250',
            '7908',
            '874',
            '879'}),
 frozenset({'2265',
            '2711',
            '2746',
            '3110',
            '3152',
            '3401',
            '3636',
            '4387',
            '4971',
            '5328',
            '6397',
            '7193',
            '8848'}),
 frozenset({'1440',
            '1540',
            '1545',
            '2522',
            '2868',
            '4162',
            '5105',
            '5674',
            '6408',
            '660',
            '7100',
            '7795',
            '7941'}),
 frozenset({'1427',
            '3561',
            '3802',
            '4497',
            '5103',
            '6144',
            '6261',
            '8524',
            '8567',
            '8806'}),
 frozenset({'1279',
            '2339',
            '2971',
            '3860',
            '4666',
            '5120',
            '6131',
            '726',
            '754',
            '8374'}),
 frozenset({'2476',
            '2629',
            '2968',
            '3890',
            '3975',
            '3998',
            '4119',
            '6200',
            '6973',
            '7600'}),
 frozenset({'1808',
            '2078',
            '2882',
            '3066',
            '3999',
            '8168',
            '8175',
            '8188',
            '8299',
            '86'}),
 frozenset({'1289',
            '1294',
            '1614',
            '1773',
            '179',
            '249',
            '2822',
            '4646',
            '5028',
            '5800',
            '6398',
            '8499'}),
 frozenset({'1741',
            '193',
            '2160',
            '2540',
            '3944',
            '4312',
            '5521',
            '5552',
            '5753',
            '7250',
            '8184'}),
 frozenset({'1701',
            '2466',
            '3375',
            '3499',
            '3726',
            '4009',
            '5026',
            '5072',
            '5808',
            '6383',
            '6724'}),
 frozenset({'1512',
            '1767',
            '1909',
            '2454',
            '3600',
            '3670',
            '5259',
            '6427',
            '7078',
            '7492',
            '7735'}),
 frozenset({'1904',
            '2410',
            '2600',
            '3294',
            '3674',
            '3944',
            '4027',
            '4301',
            '4598',
            '5156',
            '7638'})]

In [ ]: