{
 "experiment": "sha256_bias_test",
 "timestamp_utc": "2026-11-01T05:40:59+00:00",
 "command": "experiments/reduced_round_sha256/bias_test.py --seed 1 --n 20000 --out results/reduced_round_sha256/bias_seed1.json",
 "cwd": "/Users/simon-pierreboucher/Desktop/UQO/Recherche/Recherche-UQO/mathematiques/beyond-square-root-barrier",
 "seed": 1,
 "host": {
  "hostname": "MacBookPro-de-simon-pierre-2.local",
  "os": "Darwin 27.0.0 (27.0)",
  "machine": "arm64",
  "python": "3.12.13",
  "cpu": "Apple M5 Max",
  "cores": 18,
  "ram_gb": 48.0
 },
 "software": {
  "numpy": "2.5.4",
  "scipy": "1.18.1",
  "sympy": "1.14.0",
  "gmpy2": "2.3.2",
  "z3": "5.3.3",
  "pysat": "1.9.dev17",
  "ecdsa": "0.19.2",
  "coincurve": "21.0.0"
 },
 "params": {
  "n": 20000,
  "r_list": [
   1,
   2,
   3,
   4,
   5,
   6,
   8,
   10,
   12,
   16,
   20,
   24,
   32,
   64
  ],
  "n_input_bits": 64,
  "feedforward": true,
  "iv": "standard H0"
 },
 "measurements": {
  "input_bits_sampled": [
   2,
   9,
   22,
   26,
   29,
   30,
   31,
   35,
   44,
   64,
   88,
   96,
   102,
   104,
   110,
   120,
   123,
   137,
   167,
   177,
   190,
   194,
   214,
   221,
   224,
   227,
   234,
   236,
   238,
   248,
   261,
   272,
   290,
   296,
   303,
   310,
   315,
   325,
   340,
   353,
   375,
   379,
   383,
   388,
   390,
   399,
   402,
   413,
   424,
   426,
   432,
   443,
   448,
   449,
   456,
   460,
   470,
   480,
   483,
   491,
   499,
   501,
   507,
   511
  ],
  "by_r": {
   "1": {
    "max_bit_bias": 0.5,
    "mean_bit_bias": 0.375603515625,
    "bias_threshold_4sigma": 0.01414213562373095,
    "n_bits_bias_over_4sigma": 192,
    "bit_bias": [
     0.0021,
     0.00355,
     5e-05,
     0.0038,
     0.00015,
     0.00015,
     0.001,
     0.00265,
     0.00445,
     0.00165,
     0.0047,
     0.00415,
     0.00185,
     0.00015,
     0.0016,
     0.0044,
     0.0031,
     0.0028,
     0.00015,
     0.00055,
     0.00165,
     0.00155,
     0.00185,
     0.0013,
     0.0033,
     0.00315,
     0.00355,
     0.00195,
     0.00235,
     0.0076,
     0.0042,
     0.00145,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.00315,
     0.002,
     0.0,
     0.0005,
     0.0048,
     0.00055,
     0.0002,
     0.0021,
     0.00125,
     0.0007,
     0.00585,
     0.00205,
     0.0026,
     0.0018,
     0.0057,
     0.0053,
     0.0003,
     0.00215,
     0.00505,
     0.00095,
     0.00505,
     0.00075,
     0.00205,
     0.00185,
     0.0053,
     0.00075,
     0.00135,
     0.00095,
     0.0059,
     0.00335,
     0.00185,
     0.00145,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5
    ],
    "max_abs_corr": 1.0,
    "corr_threshold_4sigma": 0.0282842712474619,
    "n_pairs_corr_over_4sigma": 13,
    "expected_pairs_under_null": 1.0378032523876717,
    "argmax_corr_pair": [
     4,
     29
    ],
    "chi2_min_p": 0.0,
    "chi2_n_bytes_rejected_bonferroni": 24,
    "chi2_p_by_byte": [
     0.39041587181808785,
     0.6245105588599271,
     0.7711729729015471,
     0.019627292239171076,
     0.0,
     0.0,
     0.0,
     0.0,
     0.0,
     0.0,
     0.0,
     0.0,
     0.0,
     0.0,
     0.0,
     0.0,
     0.07579911843509278,
     0.6389193952194389,
     0.6910456371415133,
     0.019627292239171076,
     0.0,
     0.0,
     0.0,
     0.0,
     0.0,
     0.0,
     0.0,
     0.0,
     0.0,
     0.0,
     0.0,
     0.0
    ],
    "chi2_stat_by_byte": [
     260.6592,
     247.2448,
     237.952,
     303.69280000000003,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     288.0512,
     246.4,
     243.2512,
     303.69280000000003,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0
    ]
   },
   "2": {
    "max_bit_bias": 0.5,
    "mean_bit_bias": 0.2514517578125,
    "bias_threshold_4sigma": 0.01414213562373095,
    "n_bits_bias_over_4sigma": 128,
    "bit_bias": [
     0.00265,
     0.00215,
     5e-05,
     0.0011,
     0.00015,
     0.00635,
     0.0005,
     0.00035,
     0.0015,
     0.00215,
     0.00105,
     0.00135,
     0.0003,
     0.00625,
     0.0071,
     0.0041,
     0.0001,
     0.00015,
     0.00075,
     0.0027,
     0.0,
     0.00715,
     0.0,
     0.0016,
     0.0023,
     0.0048,
     0.00255,
     0.00535,
     0.00085,
     0.0006,
     0.0029,
     0.00355,
     0.00635,
     0.00525,
     0.00235,
     0.004,
     0.00495,
     0.0042,
     0.00155,
     0.0011,
     0.00305,
     0.0014,
     0.0061,
     0.0068,
     0.0003,
     0.0083,
     0.0048,
     0.00585,
     0.0007,
     0.00225,
     0.00445,
     0.0021,
     0.0022,
     0.002,
     0.0005,
     0.00155,
     0.00285,
     0.00575,
     0.00035,
     0.0012,
     0.0065,
     0.0099,
     0.0042,
     0.00145,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.00075,
     0.00455,
     0.0012,
     0.002,
     0.00195,
     0.00105,
     0.00265,
     0.00185,
     0.0035,
     0.00375,
     0.00545,
     0.0009,
     0.0038,
     0.00315,
     0.0047,
     0.0001,
     0.00375,
     0.00205,
     0.0008,
     0.0009,
     0.00085,
     0.00025,
     0.00125,
     0.0013,
     0.00035,
     0.0075,
     0.006,
     0.0011,
     0.0007,
     0.0058,
     0.00305,
     0.00085,
     0.0059,
     0.00285,
     0.00155,
     0.00235,
     0.0069,
     0.0062,
     0.00015,
     0.00355,
     0.0017,
     0.0026,
     0.0046,
     0.00595,
     0.00275,
     0.00875,
     0.00315,
     0.00565,
     0.0002,
     0.0017,
     0.00095,
     0.0007,
     0.00255,
     0.00115,
     0.00155,
     0.0019,
     0.002,
     0.0034,
     0.0047,
     0.0027,
     0.0034,
     0.0099,
     0.0042,
     0.00145,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5
    ],
    "max_abs_corr": 1.0,
    "corr_threshold_4sigma": 0.0282842712474619,
    "n_pairs_corr_over_4sigma": 12,
    "expected_pairs_under_null": 1.0378032523876717,
    "argmax_corr_pair": [
     5,
     62
    ],
    "chi2_min_p": 0.0,
    "chi2_n_bytes_rejected_bonferroni": 16,
    "chi2_p_by_byte": [
     0.8957298262111091,
     0.8127758993385427,
     0.836616398364919,
     0.25379999700317507,
     0.29656183733536473,
     0.6621390393626484,
     0.7554537935673091,
     0.019627292239171076,
     0.0,
     0.0,
     0.0,
     0.0,
     0.0,
     0.0,
     0.0,
     0.0,
     0.9633294234687942,
     0.8422011103319755,
     0.07043698857791295,
     0.10240331175616556,
     0.0332549564530106,
     0.7232925717581397,
     0.6531661325495348,
     0.019627292239171076,
     0.0,
     0.0,
     0.0,
     0.0,
     0.0,
     0.0,
     0.0,
     0.0
    ],
    "chi2_stat_by_byte": [
     227.0208,
     234.8288,
     232.8576,
     269.568,
     266.57280000000003,
     245.0176,
     239.0528,
     303.69280000000003,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     216.06400000000002,
     232.3712,
     288.9984,
     284.0064,
     297.984,
     241.2032,
     245.5552,
     303.69280000000003,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0
    ]
   },
   "3": {
    "max_bit_bias": 0.5,
    "mean_bit_bias": 0.12711640625,
    "bias_threshold_4sigma": 0.01414213562373095,
    "n_bits_bias_over_4sigma": 64,
    "bit_bias": [
     0.00105,
     0.00375,
     0.0032,
     0.0,
     0.00205,
     5e-05,
     0.001,
     0.00135,
     0.00405,
     0.0014,
     0.00285,
     0.00605,
     0.0058,
     0.0012,
     0.00165,
     0.00665,
     0.00415,
     0.00205,
     0.00525,
     0.00045,
     0.00215,
     0.00205,
     0.003,
     0.00695,
     0.0003,
     0.0068,
     0.00035,
     0.0025,
     0.0014,
     0.00265,
     0.0035,
     0.0018,
     0.00105,
     0.0,
     0.0004,
     0.0013,
     0.0022,
     0.00325,
     0.0002,
     0.00285,
     0.00205,
     0.00105,
     0.0012,
     0.00195,
     0.0019,
     0.0006,
     0.0062,
     0.0027,
     0.0007,
     0.00445,
     0.0003,
     0.004,
     0.00045,
     0.00685,
     0.0022,
     0.00225,
     0.00425,
     0.00105,
     0.00265,
     0.0025,
     0.00255,
     0.0025,
     0.0029,
     0.00355,
     0.006,
     0.00605,
     0.0022,
     0.00235,
     0.00685,
     0.00805,
     0.00195,
     0.00185,
     0.00065,
     0.0012,
     0.00255,
     0.0001,
     0.0041,
     0.0098,
     0.00515,
     0.0017,
     0.00215,
     0.00105,
     0.00465,
     0.00035,
     0.0047,
     0.00315,
     0.0042,
     0.0007,
     0.0022,
     0.00245,
     0.0025,
     0.0023,
     0.00225,
     0.0073,
     0.00185,
     0.00145,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.00035,
     0.0011,
     0.00025,
     0.00525,
     0.0002,
     0.0022,
     0.00035,
     0.00205,
     0.0008,
     0.00195,
     0.00055,
     0.0017,
     0.00225,
     0.0004,
     0.0023,
     0.00265,
     0.00475,
     0.00255,
     0.0017,
     0.0014,
     0.00345,
     0.00215,
     0.00865,
     0.00085,
     0.00285,
     0.0049,
     0.0049,
     0.0047,
     0.002,
     0.0033,
     0.0046,
     0.0011,
     0.0021,
     0.00085,
     0.0084,
     0.00055,
     0.0026,
     0.00195,
     0.0016,
     0.00415,
     0.003,
     0.0015,
     0.00405,
     5e-05,
     0.00355,
     0.0054,
     0.00625,
     0.0019,
     0.0064,
     0.0038,
     0.0056,
     0.0075,
     0.00215,
     0.0031,
     0.0008,
     0.00235,
     0.00065,
     0.0012,
     0.001,
     0.0032,
     0.00305,
     0.00495,
     0.0024,
     0.00085,
     0.00585,
     0.00635,
     0.0025,
     0.0025,
     0.00635,
     0.00495,
     0.0019,
     0.0009,
     0.0023,
     0.0025,
     0.004,
     0.0027,
     0.0031,
     0.00985,
     0.0046,
     0.00125,
     0.00025,
     0.00035,
     0.00325,
     0.0017,
     0.00465,
     0.00405,
     0.0008,
     0.0006,
     0.0014,
     0.006,
     0.0047,
     0.00215,
     0.00525,
     0.00335,
     0.00185,
     0.00145,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5,
     0.5
    ],
    "max_abs_corr": 1.0,
    "corr_threshold_4sigma": 0.0282842712474619,
    "n_pairs_corr_over_4sigma": 13,
    "expected_pairs_under_null": 1.0378032523876717,
    "argmax_corr_pair": [
     6,
     95
    ],
    "chi2_min_p": 0.0,
    "chi2_n_bytes_rejected_bonferroni": 8,
    "chi2_p_by_byte": [
     0.06794012497381925,
     0.9422928509658142,
     0.46566598827449085,
     0.12194260660365808,
     0.7209260718249546,
     0.7565674283018644,
     0.38272660145823806,
     0.25379999700317507,
     0.24892903998464902,
     0.48367726623149077,
     0.9039191091028161,
     0.019627292239171076,
     0.0,
     0.0,
     0.0,
     0.0,
     0.9388997695183252,
     0.0332549564530106,
     0.5827553829212709,
     0.5208156204966536,
     0.95919136684172,
     0.6104021998003103,
     0.057092570655725185,
     0.10240331175616556,
     0.15099643583459638,
     0.20419590104856666,
     0.7295596263369478,
     0.019627292239171076,
     0.0,
     0.0,
     0.0,
     0.0
    ],
    "chi2_stat_by_byte": [
     289.4592,
     220.4672,
     256.2816,
     281.5232,
     241.35680000000002,
     238.976,
     261.12,
     269.568,
     269.92639999999994,
     255.25759999999997,
     226.048,
     303.69280000000003,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0,
     221.056,
     297.984,
     249.65120000000002,
     253.15840000000003,
     217.0624,
     248.064,
     291.6352,
     284.0064,
     278.3232,
     273.4336,
     240.7936,
     303.69280000000003,
     5100000.0,
     5100000.0,
     5100000.0,
     5100000.0
    ]
   },
   "4": {
    "max_bit_bias": 0.011400000000000021,
    "mean_bit_bias": 0.0028624999999999987,
    "bias_threshold_4sigma": 0.01414213562373095,
    "n_bits_bias_over_4sigma": 0,
    "bit_bias": [
     0.00305,
     0.0068,
     0.0035,
     0.0032,
     0.0044,
     0.003,
     0.0056,
     0.0034,
     0.00035,
     0.0025,
     0.00085,
     0.00715,
     0.0008,
     0.0034,
     0.00495,
     0.00785,
     0.00155,
     0.0067,
     0.00185,
     0.00035,
     0.00135,
     0.0066,
     0.00155,
     0.00555,
     0.00155,
     0.0018,
     0.00065,
     0.00045,
     0.0042,
     0.00175,
     0.00315,
     0.01015,
     0.0021,
     0.0051,
     0.0048,
     0.0034,
     0.00675,
     0.0049,
     0.0026,
     0.00615,
     0.00335,
     0.0011,
     0.00195,
     0.0004,
     0.0026,
     0.00135,
     0.002,
     0.0038,
     0.0031,
     0.0025,
     0.003,
     0.0026,
     0.003,
     0.00125,
     0.0019,
     0.00285,
     0.00535,
     0.00145,
     0.0013,
     0.00365,
     0.0025,
     0.00255,
     0.0035,
     0.0018,
     0.00095,
     0.00035,
     0.00065,
     0.0005,
     0.0019,
     0.0026,
     0.0009,
     0.0018,
     0.00165,
     0.0004,
     0.005,
     0.0022,
     0.00555,
     0.00295,
     0.00185,
     0.00285,
     0.00175,
     0.0053,
     0.0029,
     0.00495,
     0.00355,
     0.0002,
     0.0013,
     0.00185,
     0.0006,
     0.0058,
     0.0091,
     0.00055,
     0.00205,
     0.0001,
     0.00225,
     0.00355,
     0.00675,
     0.00335,
     0.00385,
     0.00175,
     0.00575,
     0.0025,
     5e-05,
     0.00145,
     0.001,
     0.001,
     0.00145,
     0.00155,
     0.0021,
     0.0098,
     0.00065,
     0.00205,
     0.00245,
     0.0003,
     0.00265,
     0.0026,
     0.00385,
     0.0026,
     0.0009,
     0.00495,
     0.00175,
     0.00455,
     0.00025,
     0.00205,
     0.00225,
     0.0073,
     0.00185,
     0.00145,
     0.0043,
     0.00315,
     0.00085,
     0.0023,
     0.0054,
     0.0029,
     0.00345,
     0.00425,
     0.00275,
     0.00205,
     0.00145,
     0.0011,
     0.0048,
     0.0043,
     0.0024,
     0.0004,
     0.00285,
     0.00015,
     0.00565,
     0.0017,
     0.00305,
     0.00425,
     0.005,
     0.0114,
     0.0011,
     0.0027,
     0.00175,
     0.0013,
     0.0007,
     0.0045,
     0.005,
     0.0021,
     0.0018,
     0.0002,
     0.0021,
     0.00545,
     0.0017,
     0.0068,
     0.0014,
     0.00285,
     0.0006,
     0.0026,
     0.00125,
     0.0013,
     0.00135,
     0.002,
     0.00075,
     0.0028,
     0.0003,
     0.0018,
     0.001,
     0.0003,
     0.0024,
     0.0026,
     0.0093,
     0.00175,
     0.00025,
     0.0031,
     0.00745,
     0.0039,
     0.0034,
     0.0035,
     0.0007,
     0.0011,
     0.0036,
     0.00195,
     0.0035,
     0.00215,
     0.0018,
     0.00245,
     0.0001,
     0.0009,
     0.0027,
     0.00125,
     0.0024,
     0.0011,
     0.0017,
     0.00655,
     0.0025,
     0.0048,
     0.0066,
     0.00385,
     0.00025,
     0.00905,
     0.0008,
     0.0023,
     0.0048,
     0.0016,
     0.0008,
     0.0054,
     0.0004,
     0.0045,
     0.0043,
     0.0058,
     0.00305,
     0.00085,
     0.0035,
     0.00315,
     0.00335,
     0.00015,
     0.00625,
     0.00675,
     0.00075,
     0.0037,
     0.00445,
     0.00425,
     0.00045,
     0.00245,
     0.00145,
     0.011,
     0.00265,
     0.00125,
     0.0005,
     0.0039,
     0.00095,
     0.00045,
     0.00065,
     0.00295,
     0.0036,
     0.0021,
     0.0026,
     0.00105,
     0.00385,
     0.0005,
     0.00355,
     0.0073,
     0.00185,
     0.00145
    ],
    "max_abs_corr": 1.0,
    "corr_threshold_4sigma": 0.0282842712474619,
    "n_pairs_corr_over_4sigma": 13,
    "expected_pairs_under_null": 1.0378032523876717,
    "argmax_corr_pair": [
     6,
     127
    ],
    "chi2_min_p": 0.0024674005700014512,
    "chi2_n_bytes_rejected_bonferroni": 0,
    "chi2_p_by_byte": [
     0.7399876867666652,
     0.12388629641993072,
     0.05963185725660504,
     0.9955050678353895,
     0.0097441771345929,
     0.9540939311798275,
     0.6139408391984263,
     0.12194260660365808,
     0.9225733419235383,
     0.7842692682077207,
     0.6651128576639688,
     0.25379999700317507,
     0.20205623147982749,
     0.46566598827449085,
     0.8085624331094983,
     0.019627292239171076,
     0.42606411148271406,
     0.32817623630076204,
     0.3139347852135145,
     0.7956025943262964,
     0.8937218531483161,
     0.0024674005700014512,
     0.3390473178495722,
     0.5208156204966536,
     0.7346040226135025,
     0.44955542559265627,
     0.031769235412097,
     0.10240331175616513,
     0.09832176507946819,
     0.20542502466578066,
     0.8972733978667338,
     0.019627292239171076
    ],
    "chi2_stat_by_byte": [
     240.10240000000002,
     281.29280000000006,
     291.09760000000006,
     199.8848,
     310.7072,
     218.18880000000001,
     247.8592,
     281.5232,
     223.59040000000002,
     237.00480000000002,
     244.83839999999998,
     269.568,
     273.6128,
     256.2816,
     235.1616,
     303.69280000000003,
     258.56,
     264.4992,
     265.4208,
     236.16,
     227.2512,
     323.09760000000006,
     263.808,
     253.15840000000003,
     240.4608,
     257.20320000000004,
     298.496,
     284.00640000000004,
     284.5696,
     273.33119999999997,
     226.84160000000003,
     303.69280000000003
    ]
   },
   "5": {
    "max_bit_bias": 0.010599999999999998,
    "mean_bit_bias": 0.002930273437499995,
    "bias_threshold_4sigma": 0.01414213562373095,
    "n_bits_bias_over_4sigma": 0,
    "bit_bias": [
     0.0001,
     0.00105,
     0.00205,
     0.0004,
     0.00365,
     0.0047,
     0.0035,
     0.0081,
     0.00455,
     0.0017,
     0.00965,
     0.0067,
     0.0036,
     0.00545,
     0.00375,
     0.00025,
     0.0001,
     0.00345,
     0.0048,
     0.0011,
     0.0023,
     0.0017,
     0.0026,
     0.0004,
     0.00205,
     0.0031,
     0.00545,
     0.00265,
     0.0015,
     0.0001,
     0.00275,
     0.00095,
     0.0011,
     0.0043,
     0.00155,
     0.0013,
     0.00355,
     0.00365,
     0.0042,
     0.0064,
     0.0001,
     0.00445,
     0.002,
     0.0075,
     0.001,
     0.00155,
     0.00255,
     0.00455,
     0.00135,
     0.0032,
     0.00485,
     0.00485,
     0.00095,
     0.00645,
     0.0011,
     0.0068,
     0.00175,
     0.00055,
     0.00115,
     0.00235,
     0.00155,
     0.0013,
     0.00315,
     0.01015,
     0.00165,
     0.0048,
     0.0051,
     0.0038,
     0.00395,
     0.00265,
     0.00025,
     0.007,
     0.0025,
     0.0004,
     0.0008,
     0.00265,
     0.00275,
     0.00105,
     0.005,
     0.0086,
     0.0015,
     0.0036,
     0.00345,
     0.0011,
     0.0033,
     0.0005,
     0.0019,
     0.00475,
     0.003,
     0.00335,
     0.00235,
     0.00085,
     0.0007,
     0.0003,
     0.0028,
     0.0018,
     0.0016,
     0.00295,
     0.0031,
     0.00125,
     0.0007,
     0.00515,
     0.00045,
     0.00345,
     0.00725,
     5e-05,
     0.0039,
     0.0007,
     0.00075,
     0.0007,
     0.0078,
     0.0025,
     0.00075,
     0.00595,
     0.0011,
     0.00545,
     0.00175,
     0.005,
     0.00205,
     0.00125,
     0.00645,
     0.00255,
     0.00865,
     0.0055,
     0.00205,
     0.0001,
     0.00225,
     0.00355,
     0.00395,
     0.0022,
     0.0059,
     0.00175,
     0.0035,
     0.00115,
     0.00535,
     0.00365,
     0.0022,
     0.00345,
     0.0035,
     0.0061,
     0.00335,
     0.0057,
     0.0041,
     0.0032,
     0.0034,
     0.0026,
     0.0027,
     0.00175,
     0.0037,
     0.0002,
     0.00625,
     0.00105,
     0.00445,
     0.00195,
     0.00945,
     0.0007,
     0.00205,
     0.00705,
     0.0006,
     0.00705,
     0.00235,
     0.00075,
     0.0003,
     0.0086,
     0.00215,
     0.0042,
     0.0041,
     0.0042,
     0.0028,
     0.00095,
     0.00035,
     0.0017,
     0.0035,
     0.00365,
     0.00085,
     0.00105,
     0.00095,
     5e-05,
     0.0033,
     0.0032,
     0.00965,
     0.00355,
     0.00465,
     0.0106,
     0.0011,
     0.00055,
     0.0017,
     0.00205,
     0.00255,
     0.0039,
     0.0009,
     0.0021,
     0.0032,
     0.0011,
     0.0031,
     0.0064,
     0.00215,
     0.0034,
     0.0034,
     0.00405,
     0.00065,
     0.0036,
     0.0013,
     0.0014,
     0.00835,
     0.00145,
     0.0002,
     0.0002,
     0.004,
     0.00385,
     0.0032,
     0.00035,
     0.0035,
     0.00235,
     0.00785,
     0.0005,
     0.00205,
     0.00385,
     0.00785,
     0.00355,
     0.001,
     0.0033,
     0.0046,
     0.0011,
     0.0003,
     0.0005,
     0.0057,
     0.00035,
     0.00015,
     0.0005,
     0.00065,
     0.00445,
     0.0028,
     0.0008,
     0.0007,
     0.0005,
     0.00095,
     0.0048,
     0.00025,
     0.0053,
     0.00385,
     0.0019,
     0.0034,
     0.0056,
     0.0012,
     0.0043,
     0.0022,
     0.00225,
     0.00215,
     0.0001,
     0.00515,
     0.0001,
     0.0012,
     0.00065,
     0.00305,
     0.00085
    ],
    "max_abs_corr": 0.0271,
    "corr_threshold_4sigma": 0.0282842712474619,
    "n_pairs_corr_over_4sigma": 0,
    "expected_pairs_under_null": 1.0378032523876717,
    "argmax_corr_pair": [
     38,
     249
    ],
    "chi2_min_p": 0.0033723425506973254,
    "chi2_n_bytes_rejected_bonferroni": 0,
    "chi2_p_by_byte": [
     0.018184506453930774,
     0.1800372948645141,
     0.5778154121622364,
     0.9975540128663339,
     0.7057379993292082,
     0.0033723425506973254,
     0.041322448214853306,
     0.9955050678353895,
     0.029373094409256395,
     0.8994509875843272,
     0.4419881288096487,
     0.12194260660365808,
     0.9068194801586902,
     0.838097595075255,
     0.9620930625526469,
     0.2537999970031743,
     0.11728611004375647,
     0.2545002632576231,
     0.015379466641164397,
     0.07960157472304792,
     0.5475706658976296,
     0.8200982193375068,
     0.2427464211778686,
     0.7956025943262964,
     0.9895098617185617,
     0.4234247252983796,
     0.33864187603778756,
     0.5208156204966536,
     0.7807698066768565,
     0.6205553258513857,
     0.3840044055627569,
     0.10240331175616556
    ],
    "chi2_stat_by_byte": [
     304.4864,
     275.53279999999995,
     249.93280000000004,
     196.0448,
     242.32960000000003,
     320.4096,
     295.5008,
     199.8848,
     299.3664,
     226.5856,
     257.63840000000005,
     281.5232,
     225.6896,
     232.7296,
     216.37120000000002,
     269.56800000000004,
     282.0864,
     269.5168,
     306.2016,
     287.4112,
     251.648,
     234.24,
     270.3872,
     236.16,
     205.77280000000002,
     258.7136,
     263.83360000000005,
     253.15840000000003,
     237.2608,
     247.47519999999997,
     261.04319999999996,
     284.0064
    ]
   },
   "6": {
    "max_bit_bias": 0.010149999999999992,
    "mean_bit_bias": 0.0030980468749999984,
    "bias_threshold_4sigma": 0.01414213562373095,
    "n_bits_bias_over_4sigma": 0,
    "bit_bias": [
     0.0015,
     0.00335,
     0.0068,
     0.00385,
     0.00065,
     0.00065,
     0.0021,
     0.00515,
     0.00085,
     0.0015,
     0.00425,
     0.00315,
     0.0003,
     0.00305,
     0.008,
     0.00465,
     0.0004,
     0.0013,
     0.0062,
     0.00425,
     0.0027,
     0.0027,
     0.0019,
     0.002,
     0.00205,
     0.00315,
     0.0045,
     0.0054,
     0.00375,
     0.0007,
     0.0001,
     0.0018,
     0.00135,
     0.00315,
     0.00405,
     0.00015,
     0.00045,
     0.00305,
     0.00425,
     0.0021,
     0.0071,
     0.00105,
     0.0072,
     0.00745,
     0.00575,
     0.00085,
     0.00715,
     0.0003,
     0.0063,
     0.00445,
     0.00025,
     0.0071,
     0.00095,
     0.0001,
     0.0016,
     0.0016,
     0.0038,
     0.0,
     0.0033,
     0.00255,
     0.0042,
     0.00255,
     0.00275,
     0.00095,
     0.0013,
     0.0037,
     0.0002,
     0.00365,
     0.00345,
     0.00105,
     0.0052,
     0.00545,
     0.00205,
     0.0036,
     0.0021,
     0.00455,
     0.0034,
     0.0025,
     0.00035,
     0.00795,
     0.00115,
     0.00175,
     0.00585,
     0.007,
     0.00215,
     0.0036,
     0.0052,
     0.007,
     0.0037,
     0.00465,
     0.00245,
     0.00195,
     0.0042,
     0.0,
     0.0062,
     0.01015,
     0.007,
     0.00555,
     0.0053,
     0.0031,
     0.0022,
     0.00045,
     0.00145,
     0.0057,
     0.0018,
     0.0006,
     0.00225,
     0.0034,
     0.00095,
     0.00095,
     0.0017,
     0.009,
     0.0021,
     0.0034,
     0.00305,
     0.0001,
     0.00145,
     0.00205,
     0.0016,
     0.00535,
     0.006,
     0.00155,
     0.00475,
     0.00275,
     0.0007,
     0.0003,
     0.0028,
     0.0018,
     0.0004,
     0.0048,
     0.00335,
     0.0065,
     0.0004,
     0.0055,
     0.0082,
     0.0048,
     0.0059,
     0.0011,
     0.00205,
     0.00285,
     0.00105,
     0.0031,
     0.0003,
     0.005,
     0.0059,
     0.00065,
     0.0049,
     0.0036,
     0.00235,
     0.00375,
     0.004,
     0.00025,
     0.0047,
     0.0009,
     0.00285,
     0.00195,
     0.00185,
     0.00415,
     0.00565,
     0.0038,
     0.0016,
     0.0003,
     0.0053,
     0.004,
     0.00165,
     0.00265,
     0.005,
     0.00075,
     0.0059,
     0.00325,
     0.001,
     0.00145,
     0.0023,
     0.0032,
     0.00195,
     0.005,
     0.0045,
     0.0025,
     0.0003,
     0.0004,
     0.007,
     0.0035,
     0.00505,
     0.0005,
     0.00425,
     0.00485,
     0.00195,
     0.0008,
     0.00515,
     0.002,
     0.00055,
     0.00705,
     0.0021,
     0.00265,
     0.0041,
     0.00065,
     0.00615,
     0.0015,
     0.00045,
     0.0008,
     0.00215,
     0.00125,
     0.00185,
     0.0026,
     0.0053,
     0.0012,
     0.00925,
     0.0034,
     0.0018,
     0.00075,
     0.00415,
     0.00305,
     0.00415,
     0.0039,
     0.0014,
     0.0077,
     5e-05,
     0.00195,
     0.00245,
     0.00305,
     0.0037,
     0.0045,
     0.005,
     0.0021,
     0.00055,
     0.00075,
     0.00325,
     0.00315,
     0.00065,
     0.00395,
     0.0076,
     0.0038,
     0.0002,
     0.00285,
     0.0018,
     0.0056,
     0.00645,
     0.0011,
     0.00295,
     0.0035,
     0.0044,
     0.00225,
     0.0026,
     0.00075,
     0.0074,
     0.00345,
     0.0018,
     0.00155,
     0.0029,
     0.00645,
     0.00175,
     0.00155,
     0.0038,
     0.0021,
     0.0046,
     0.0011
    ],
    "max_abs_corr": 0.0331,
    "corr_threshold_4sigma": 0.0282842712474619,
    "n_pairs_corr_over_4sigma": 1,
    "expected_pairs_under_null": 1.0378032523876717,
    "argmax_corr_pair": [
     6,
     146
    ],
    "chi2_min_p": 0.010274933772688021,
    "chi2_n_bytes_rejected_bonferroni": 0,
    "chi2_p_by_byte": [
     0.38827460917928225,
     0.589476533308543,
     0.09226013298389042,
     0.10916003740802527,
     0.128733093414971,
     0.2622754245380079,
     0.40638260262813075,
     0.9975540128663339,
     0.6297676566269106,
     0.08259058569704021,
     0.030130837345894154,
     0.9955050678353896,
     0.010356734791730462,
     0.860133005452494,
     0.8990180540005589,
     0.12194260660365808,
     0.13672615248409378,
     0.5258065150418955,
     0.32977670488899036,
     0.3670961218033042,
     0.3878468453958332,
     0.5543603159024669,
     0.010274933772688021,
     0.07960157472304792,
     0.9428681362329131,
     0.20789733756991982,
     0.1866131880651156,
     0.795602594326296,
     0.8590521529706137,
     0.3558491839565176,
     0.7576785563383253,
     0.5208156204966536
    ],
    "chi2_stat_by_byte": [
     260.7872,
     249.2672,
     285.44000000000005,
     283.1104,
     280.7296,
     268.9536,
     259.712,
     196.0448,
     246.93760000000003,
     286.9248,
     299.08480000000003,
     199.88479999999998,
     310.11839999999995,
     230.7328,
     226.6368,
     281.5232,
     279.83360000000005,
     252.8768,
     264.3968,
     262.0672,
     260.81280000000004,
     251.264,
     310.1952,
     287.4112,
     220.3648,
     273.1264,
     274.944,
     236.16000000000003,
     230.83520000000001,
     262.75840000000005,
     238.8992,
     253.15840000000003
    ]
   },
   "8": {
    "max_bit_bias": 0.010050000000000003,
    "mean_bit_bias": 0.0027447265624999974,
    "bias_threshold_4sigma": 0.01414213562373095,
    "n_bits_bias_over_4sigma": 0,
    "bit_bias": [
     0.00165,
     0.0025,
     0.0004,
     0.00955,
     0.0035,
     0.0049,
     0.0053,
     0.00045,
     0.00285,
     0.0048,
     0.00345,
     0.00195,
     0.0029,
     0.00075,
     0.0047,
     0.00165,
     0.00025,
     0.00035,
     0.0019,
     0.0021,
     0.00205,
     0.0036,
     0.0022,
     0.0046,
     0.0041,
     0.0066,
     5e-05,
     0.00105,
     0.00185,
     0.0043,
     0.0054,
     0.0012,
     0.00055,
     0.00155,
     0.0017,
     0.0014,
     0.00085,
     0.00545,
     0.00015,
     0.00345,
     0.00065,
     0.0023,
     0.00325,
     0.0045,
     0.00135,
     0.0031,
     0.0014,
     0.00255,
     0.0045,
     0.00555,
     0.0005,
     0.00055,
     0.00265,
     0.00445,
     0.0014,
     0.00525,
     0.0045,
     0.0041,
     0.00145,
     0.00365,
     0.00245,
     0.00165,
     0.0041,
     0.00255,
     5e-05,
     0.0038,
     0.0011,
     0.0037,
     0.0011,
     0.0005,
     0.00435,
     0.0045,
     0.0042,
     0.0016,
     0.00355,
     0.0042,
     0.0012,
     0.00335,
     0.00365,
     0.00355,
     0.0005,
     0.0011,
     0.0042,
     0.00365,
     0.00525,
     0.0001,
     0.003,
     0.00135,
     0.0016,
     0.00375,
     0.00285,
     0.0007,
     0.0003,
     0.0022,
     0.0023,
     0.0018,
     0.0004,
     0.00155,
     0.00275,
     0.00285,
     0.0015,
     0.0016,
     0.0012,
     0.0002,
     0.00355,
     0.00115,
     0.00465,
     0.0008,
     0.0053,
     0.00015,
     0.00305,
     0.00215,
     0.00385,
     0.00345,
     0.00125,
     0.0026,
     0.0024,
     0.001,
     0.00275,
     0.0039,
     0.00115,
     0.0042,
     0.00065,
     0.0013,
     0.0009,
     0.00115,
     0.0015,
     0.00095,
     0.0018,
     0.0005,
     0.00435,
     0.0009,
     0.0007,
     0.003,
     0.00535,
     0.0051,
     0.0011,
     0.00165,
     0.0014,
     0.00255,
     0.0039,
     0.00545,
     0.001,
     0.00045,
     0.00815,
     0.00015,
     0.0084,
     0.00245,
     0.00505,
     0.0019,
     0.00125,
     0.0009,
     0.0007,
     0.00115,
     0.0011,
     0.00945,
     0.00485,
     0.0001,
     0.00045,
     0.0034,
     0.00375,
     0.0033,
     0.00275,
     0.00185,
     0.00635,
     0.00685,
     0.0009,
     0.00385,
     0.0008,
     0.00065,
     0.00305,
     0.0003,
     0.00115,
     0.00195,
     0.0019,
     0.0003,
     0.0058,
     0.00025,
     0.00545,
     0.00645,
     0.00235,
     0.0007,
     0.00315,
     0.00015,
     0.00145,
     0.00445,
     0.0005,
     0.00225,
     0.0004,
     0.0029,
     0.00205,
     0.0096,
     0.0,
     0.00275,
     0.00365,
     0.00455,
     0.00285,
     0.0006,
     0.0056,
     0.0017,
     0.00955,
     0.001,
     0.00445,
     0.00205,
     0.0024,
     0.0031,
     0.0058,
     0.00175,
     0.0029,
     0.00285,
     0.0021,
     0.0003,
     0.00325,
     0.0011,
     0.01005,
     0.0018,
     0.01005,
     0.00475,
     0.00275,
     0.00025,
     0.0006,
     0.00415,
     0.00565,
     0.0038,
     0.0044,
     0.00075,
     0.00435,
     0.0032,
     0.00175,
     0.00365,
     0.00095,
     0.0007,
     0.0011,
     0.00325,
     0.0006,
     0.0057,
     0.0004,
     0.0053,
     0.0028,
     0.00475,
     0.00205,
     0.00655,
     0.0006,
     0.00125,
     0.00145,
     0.00415,
     0.0035,
     0.0039,
     0.0032,
     0.00285,
     0.0061,
     0.00795,
     0.00165,
     0.00045,
     0.0006,
     0.00705
    ],
    "max_abs_corr": 0.0286,
    "corr_threshold_4sigma": 0.0282842712474619,
    "n_pairs_corr_over_4sigma": 1,
    "expected_pairs_under_null": 1.0378032523876717,
    "argmax_corr_pair": [
     41,
     25
    ],
    "chi2_min_p": 0.001076326516126577,
    "chi2_n_bytes_rejected_bonferroni": 0,
    "chi2_p_by_byte": [
     0.09759320917664413,
     0.1758329433445767,
     0.21164090657724385,
     0.21164090657724385,
     0.36458481890398886,
     0.14702689508887667,
     0.6548810669914411,
     0.3604144094364924,
     0.5624958391951096,
     0.8742032024521407,
     0.09070485049710679,
     0.10916003740802527,
     0.3390473178495722,
     0.22507321066306546,
     0.31786091613906925,
     0.9975540128663339,
     0.47961631117536746,
     0.4549134330156411,
     0.3654211718047534,
     0.5633988366177763,
     0.22539924394715155,
     0.001076326516126577,
     0.2503152086887475,
     0.7800663250170325,
     0.7232925717581392,
     0.010247795189128304,
     0.2132131323137304,
     0.36709612180330514,
     0.2482376211957786,
     0.6501586069336508,
     0.02410611085965565,
     0.07960157472304792
    ],
    "chi2_stat_by_byte": [
     284.672,
     275.91679999999997,
     272.8192,
     272.8192,
     262.22080000000005,
     278.7328,
     245.4528,
     262.4768,
     250.8032,
     229.35039999999998,
     285.67040000000003,
     283.1104,
     263.808,
     271.74399999999997,
     265.1648,
     196.0448,
     255.488,
     256.896,
     262.16959999999995,
     250.752,
     271.71840000000003,
     329.9328,
     269.824,
     237.312,
     241.20320000000004,
     310.2208,
     272.6912,
     262.06719999999996,
     269.97760000000005,
     245.73440000000002,
     301.5168,
     287.4112
    ]
   },
   "10": {
    "max_bit_bias": 0.013449999999999962,
    "mean_bit_bias": 0.0028865234374999982,
    "bias_threshold_4sigma": 0.01414213562373095,
    "n_bits_bias_over_4sigma": 0,
    "bit_bias": [
     0.0027,
     0.0012,
     0.00115,
     0.0022,
     0.00265,
     0.00045,
     0.0003,
     0.0091,
     0.0024,
     0.00635,
     0.00045,
     0.0012,
     0.0029,
     0.0029,
     0.0039,
     0.00365,
     0.0037,
     0.0001,
     0.00295,
     0.00345,
     0.0068,
     0.00385,
     0.0037,
     0.00155,
     0.00085,
     0.0046,
     0.00065,
     0.0053,
     0.0019,
     0.00145,
     0.0023,
     0.00195,
     0.00155,
     0.0023,
     0.0019,
     0.0005,
     0.0048,
     0.0006,
     0.00055,
     0.00155,
     0.0022,
     0.0035,
     0.00025,
     0.00555,
     0.0019,
     0.00545,
     0.00235,
     0.00235,
     0.0054,
     0.00145,
     0.00415,
     0.00195,
     0.0008,
     0.00405,
     0.00095,
     0.0019,
     0.0031,
     0.0035,
     0.00465,
     0.002,
     0.00215,
     0.0016,
     0.00365,
     0.00155,
     0.00075,
     0.00285,
     0.0073,
     0.0058,
     0.00335,
     0.00365,
     0.00405,
     0.00045,
     0.0006,
     0.00495,
     0.00125,
     0.0035,
     0.00345,
     0.00225,
     0.00415,
     0.0016,
     0.0003,
     0.003,
     0.00555,
     0.004,
     0.00345,
     0.0021,
     0.0084,
     0.0051,
     0.00415,
     0.00165,
     0.0028,
     0.00405,
     0.0004,
     0.0008,
     0.0002,
     0.0012,
     0.0003,
     0.0017,
     0.00585,
     0.0043,
     0.00035,
     0.00515,
     0.0006,
     0.0036,
     0.00065,
     0.0008,
     0.00425,
     0.0017,
     0.00165,
     0.0031,
     0.0032,
     0.0013,
     0.00245,
     0.00515,
     0.0072,
     0.0071,
     0.0057,
     0.00485,
     0.0028,
     0.0029,
     0.00495,
     0.0003,
     0.00065,
     0.00485,
     0.007,
     0.00935,
     0.00575,
     0.00255,
     0.00135,
     0.00765,
     0.00285,
     0.0036,
     0.0032,
     0.0067,
     0.00195,
     0.0005,
     0.0021,
     0.00265,
     0.00215,
     0.0001,
     0.00285,
     0.003,
     5e-05,
     0.0005,
     0.00205,
     0.00025,
     0.0005,
     0.00165,
     0.00125,
     0.0007,
     0.0002,
     0.0035,
     0.00265,
     0.0043,
     0.00035,
     0.0027,
     0.00095,
     0.00265,
     0.003,
     0.00405,
     0.00165,
     0.0049,
     0.0057,
     0.00545,
     0.00215,
     0.00425,
     0.00775,
     0.007,
     0.00155,
     0.00025,
     0.00725,
     5e-05,
     0.00075,
     0.0026,
     0.00035,
     0.001,
     0.00725,
     0.0015,
     0.0051,
     0.01345,
     0.00415,
     0.0009,
     0.00165,
     0.00385,
     0.0064,
     0.00235,
     0.00085,
     0.004,
     0.0012,
     0.0022,
     0.002,
     0.0012,
     0.00385,
     0.0013,
     0.0009,
     0.00145,
     0.00235,
     0.00315,
     0.00485,
     0.0003,
     0.0009,
     0.00125,
     0.00045,
     0.0014,
     0.0034,
     0.0009,
     0.00045,
     0.0066,
     0.0089,
     0.0015,
     0.00665,
     0.0066,
     0.0053,
     0.0009,
     0.00265,
     0.00125,
     0.002,
     0.00925,
     0.00285,
     0.0012,
     0.00305,
     0.0001,
     0.00045,
     0.0034,
     0.0033,
     0.0036,
     0.00145,
     0.0029,
     0.0054,
     0.00095,
     0.00245,
     0.00485,
     0.0006,
     0.00345,
     0.0014,
     0.0042,
     0.00025,
     0.00165,
     0.00105,
     0.0026,
     0.00075,
     0.00375,
     0.00265,
     0.00345,
     0.0018,
     0.0044,
     0.00315,
     0.00015,
     0.0018,
     0.00125,
     0.0051,
     0.00145,
     0.00235,
     0.00255,
     0.00455,
     0.0096
    ],
    "max_abs_corr": 0.0285,
    "corr_threshold_4sigma": 0.0282842712474619,
    "n_pairs_corr_over_4sigma": 1,
    "expected_pairs_under_null": 1.0378032523876717,
    "argmax_corr_pair": [
     51,
     35
    ],
    "chi2_min_p": 0.008945818349664672,
    "chi2_n_bytes_rejected_bonferroni": 0,
    "chi2_p_by_byte": [
     0.3972947112475581,
     0.5629473635141099,
     0.5742172956332962,
     0.9730785893420458,
     0.7024978019957612,
     0.7969536400046373,
     0.572866898157279,
     0.8169354610769451,
     0.2901279918732288,
     0.07431898110116303,
     0.2912581074315782,
     0.21164090657724385,
     0.7426602415943524,
     0.4050803490780282,
     0.38315236732285274,
     0.3604144094364924,
     0.1969198526085963,
     0.04668445550393877,
     0.8875393365045073,
     0.7765310866259217,
     0.25837134066514844,
     0.2901279918732288,
     0.0811639556045443,
     0.29163531678713006,
     0.2075872736652305,
     0.3476101444312392,
     0.7613640995207677,
     0.5633988366177769,
     0.3226027657618658,
     0.008945818349664672,
     0.37382534598900535,
     0.7800663250170325
    ],
    "chi2_stat_by_byte": [
     260.2496,
     250.7776,
     250.13760000000002,
     213.29920000000004,
     242.5344,
     236.05759999999998,
     250.2144,
     234.496,
     267.00800000000004,
     288.30719999999997,
     266.9312,
     272.8192,
     239.9232,
     259.78880000000004,
     261.0944,
     262.4768,
     274.048,
     294.06719999999996,
     227.94240000000002,
     237.56800000000004,
     269.23519999999996,
     267.00800000000004,
     287.15520000000004,
     266.9056,
     273.152,
     263.2704,
     238.64319999999998,
     250.75199999999998,
     264.8576,
     311.5264,
     261.6576,
     237.312
    ]
   },
   "12": {
    "max_bit_bias": 0.010050000000000003,
    "mean_bit_bias": 0.0028957031249999985,
    "bias_threshold_4sigma": 0.01414213562373095,
    "n_bits_bias_over_4sigma": 0,
    "bit_bias": [
     0.0031,
     0.0014,
     0.00225,
     5e-05,
     0.00185,
     0.00445,
     0.0048,
     0.00265,
     0.0007,
     0.0008,
     0.00055,
     0.00185,
     0.00225,
     0.0031,
     0.0014,
     0.0019,
     0.0026,
     0.0052,
     0.00335,
     0.00495,
     0.00205,
     0.0004,
     0.00705,
     0.0032,
     0.00025,
     0.00385,
     0.00055,
     0.00165,
     0.00435,
     0.0009,
     0.00065,
     0.00495,
     0.00385,
     0.0037,
     0.0072,
     0.00135,
     0.00635,
     0.001,
     0.00245,
     0.00325,
     0.00265,
     0.0014,
     0.00165,
     0.00365,
     0.0031,
     0.005,
     0.00585,
     0.00035,
     0.0033,
     0.0071,
     0.00055,
     0.0,
     0.00265,
     5e-05,
     0.00475,
     0.00245,
     0.0034,
     0.0008,
     0.00405,
     0.0025,
     0.0004,
     0.0002,
     0.00375,
     0.0012,
     0.00615,
     0.0027,
     0.0043,
     5e-05,
     0.0023,
     0.001,
     0.00755,
     0.00885,
     0.00095,
     0.0025,
     0.00095,
     0.00135,
     0.0048,
     0.00515,
     0.0032,
     0.00385,
     0.00135,
     0.00095,
     0.00365,
     0.0004,
     0.0045,
     0.00795,
     0.00265,
     0.0014,
     0.00095,
     0.0021,
     0.00165,
     0.00895,
     0.00045,
     0.0017,
     0.00855,
     0.00195,
     0.0001,
     0.0022,
     0.0043,
     0.0061,
     0.0055,
     0.00085,
     0.00165,
     0.00465,
     0.00305,
     0.00265,
     0.00035,
     0.0026,
     0.00205,
     0.0064,
     0.0003,
     0.00015,
     0.0091,
     0.0,
     0.00675,
     0.0017,
     0.00305,
     0.00525,
     0.0018,
     0.00105,
     0.00215,
     0.0022,
     0.0024,
     0.00125,
     0.00505,
     0.00315,
     0.0018,
     0.00155,
     0.0065,
     0.00515,
     0.00385,
     0.00505,
     0.00055,
     0.0037,
     0.00415,
     0.00685,
     0.00625,
     0.0016,
     0.00095,
     0.00125,
     0.00255,
     0.00035,
     0.0052,
     0.0077,
     0.00305,
     0.00255,
     0.00635,
     0.00245,
     0.0014,
     0.00305,
     0.0046,
     0.0058,
     0.0002,
     0.00425,
     0.00455,
     0.0069,
     0.0004,
     0.002,
     0.0009,
     0.005,
     0.00015,
     0.00085,
     0.00065,
     0.00845,
     0.0002,
     0.004,
     0.0009,
     0.00245,
     0.0009,
     0.0031,
     0.00135,
     0.0026,
     0.0066,
     0.00335,
     0.0012,
     0.003,
     0.0012,
     0.0018,
     0.00105,
     0.0013,
     0.0042,
     0.00035,
     0.00105,
     0.00595,
     0.0006,
     0.00715,
     0.00085,
     0.0002,
     0.0011,
     0.0021,
     0.00105,
     0.00135,
     0.00035,
     0.0025,
     0.0002,
     0.0034,
     0.00105,
     0.00015,
     0.0007,
     0.0023,
     0.00445,
     0.00195,
     0.00485,
     0.00415,
     0.0039,
     0.0042,
     0.00095,
     0.00145,
     0.00065,
     0.00175,
     0.00035,
     0.00285,
     0.0022,
     0.0032,
     0.0008,
     0.00025,
     0.0006,
     0.0001,
     0.0043,
     0.00165,
     0.0017,
     0.00265,
     0.003,
     0.00405,
     0.00185,
     0.0053,
     0.00535,
     0.00325,
     0.00335,
     0.0036,
     0.00655,
     0.00575,
     0.0006,
     0.00175,
     0.00465,
     0.0009,
     0.0003,
     0.00395,
     0.0037,
     0.00645,
     0.01005,
     0.0035,
     0.0043,
     0.0036,
     0.00495,
     0.00145,
     0.00855,
     0.00295,
     0.00765,
     0.0076,
     0.0032,
     0.00225,
     0.0019,
     0.0013,
     0.0018,
     0.0012
    ],
    "max_abs_corr": 0.0278,
    "corr_threshold_4sigma": 0.0282842712474619,
    "n_pairs_corr_over_4sigma": 0,
    "expected_pairs_under_null": 1.0378032523876717,
    "argmax_corr_pair": [
     6,
     53
    ],
    "chi2_min_p": 0.0008340946583209548,
    "chi2_n_bytes_rejected_bonferroni": 0,
    "chi2_p_by_byte": [
     0.05673711559154244,
     0.38272660145823806,
     0.5194545108603853,
     0.1755550185897702,
     0.7460772351457591,
     0.918177668528402,
     0.5344258970085686,
     0.6802629178650312,
     0.2569598437275117,
     0.3725600777050199,
     0.8541224131249028,
     0.9730785893420459,
     0.3637492185530953,
     0.5353329760596386,
     0.720926071824955,
     0.8169354610769455,
     0.5208156204966541,
     0.7982997300565022,
     0.6931031132595561,
     0.5112894260137122,
     0.35254394394971245,
     0.6112875476477269,
     0.4194740668947995,
     0.9149572037178266,
     0.3844306770350118,
     0.26441874274985605,
     0.8204127234319389,
     0.7765310866259226,
     0.04196318242199117,
     0.7137742279357042,
     0.0008340946583209548,
     0.2916353167871292
    ],
    "chi2_stat_by_byte": [
     291.712,
     261.12,
     253.23520000000002,
     275.9424,
     239.69280000000003,
     224.2048,
     252.3904,
     243.9168,
     269.33759999999995,
     261.7344,
     231.296,
     213.29919999999998,
     262.27200000000005,
     252.3392,
     241.3568,
     234.49599999999998,
     253.1584,
     235.95520000000002,
     243.12320000000003,
     253.69600000000003,
     262.96320000000003,
     248.0128,
     258.94399999999996,
     224.64000000000001,
     261.0176,
     268.79999999999995,
     234.2144,
     237.56799999999998,
     295.3216,
     241.81760000000003,
     331.9552,
     266.90560000000005
    ]
   },
   "16": {
    "max_bit_bias": 0.010549999999999948,
    "mean_bit_bias": 0.002777734374999997,
    "bias_threshold_4sigma": 0.01414213562373095,
    "n_bits_bias_over_4sigma": 0,
    "bit_bias": [
     0.0014,
     0.00875,
     0.0023,
     0.0008,
     0.00205,
     0.00245,
     0.0015,
     0.00765,
     0.0006,
     0.0002,
     0.00765,
     0.00325,
     0.0046,
     0.00455,
     0.0078,
     0.0001,
     0.00055,
     0.00315,
     0.002,
     0.0059,
     0.00105,
     0.0013,
     0.00035,
     0.00085,
     0.006,
     0.0049,
     0.0001,
     0.0034,
     0.0007,
     0.00725,
     0.00495,
     0.0003,
     0.00305,
     0.0027,
     0.0019,
     0.0002,
     0.00515,
     0.00425,
     0.00235,
     0.00425,
     0.005,
     0.00015,
     0.00185,
     0.00045,
     0.00445,
     0.00065,
     0.00135,
     0.0025,
     0.0049,
     0.0032,
     0.0005,
     0.00105,
     0.00205,
     0.00355,
     0.00115,
     0.0005,
     0.00175,
     0.0097,
     0.0011,
     0.00375,
     0.0017,
     0.00565,
     0.0007,
     0.00115,
     0.00185,
     0.00365,
     0.0032,
     0.0002,
     0.004,
     0.00035,
     0.0025,
     0.0041,
     0.001,
     0.00105,
     0.0006,
     0.00205,
     0.0003,
     0.00085,
     0.00305,
     0.002,
     0.00075,
     0.0057,
     0.0009,
     0.0004,
     0.00255,
     0.0022,
     0.0038,
     0.0005,
     0.0008,
     0.00215,
     0.0062,
     0.00365,
     0.00055,
     0.00115,
     0.00115,
     0.0022,
     0.0002,
     0.00245,
     0.01055,
     0.0036,
     0.0019,
     5e-05,
     0.0004,
     0.00475,
     0.00175,
     0.00325,
     0.00365,
     0.00635,
     0.00465,
     0.0009,
     0.00255,
     0.00205,
     0.0024,
     0.00355,
     0.00115,
     0.0028,
     0.00555,
     0.0093,
     0.0009,
     0.0099,
     0.006,
     0.00065,
     0.0033,
     0.0041,
     0.0066,
     0.0001,
     0.0015,
     0.00675,
     0.00355,
     0.0029,
     0.002,
     0.0053,
     0.0008,
     0.0016,
     0.00125,
     0.00065,
     0.00265,
     0.00125,
     0.0062,
     0.00085,
     0.0013,
     0.00515,
     0.00395,
     0.0042,
     0.00685,
     0.0035,
     0.00175,
     0.00435,
     0.0036,
     0.00355,
     0.00105,
     0.0041,
     0.0048,
     0.0004,
     0.00215,
     0.0,
     0.00315,
     0.00545,
     0.00545,
     0.0033,
     0.00025,
     0.00095,
     0.0021,
     0.0016,
     0.00205,
     0.0018,
     0.0061,
     0.0006,
     0.00175,
     0.00365,
     0.00205,
     0.00155,
     0.00045,
     0.00255,
     0.0038,
     0.0004,
     0.0053,
     0.0001,
     5e-05,
     0.005,
     0.0064,
     0.0056,
     0.0035,
     0.0011,
     0.0013,
     0.0002,
     0.0017,
     0.00125,
     0.00185,
     0.0074,
     0.00605,
     0.0054,
     0.00025,
     0.0034,
     0.0016,
     0.0037,
     0.00225,
     0.0022,
     0.0002,
     0.00045,
     0.00125,
     0.0022,
     0.00115,
     0.0045,
     0.00185,
     0.00435,
     0.0034,
     0.0028,
     0.0013,
     0.00115,
     0.0038,
     0.00575,
     0.00525,
     0.0025,
     0.00355,
     0.00525,
     0.00115,
     0.00265,
     0.00615,
     0.00145,
     0.00065,
     0.0012,
     0.003,
     0.00095,
     0.0037,
     0.0044,
     5e-05,
     0.00105,
     0.0006,
     0.00665,
     0.0047,
     0.0001,
     0.00245,
     0.00415,
     0.00085,
     0.0023,
     0.0023,
     0.0007,
     0.00705,
     0.00915,
     0.00185,
     0.0003,
     0.00025,
     0.0014,
     0.005,
     0.00245,
     0.00175,
     0.00405,
     0.0035,
     0.00365,
     0.00055,
     0.00195,
     0.0033,
     0.0024,
     0.00155,
     0.0047
    ],
    "max_abs_corr": 0.0277,
    "corr_threshold_4sigma": 0.0282842712474619,
    "n_pairs_corr_over_4sigma": 0,
    "expected_pairs_under_null": 1.0378032523876717,
    "argmax_corr_pair": [
     26,
     64
    ],
    "chi2_min_p": 0.009718294473367946,
    "chi2_n_bytes_rejected_bonferroni": 0,
    "chi2_p_by_byte": [
     0.3206229852786793,
     0.9649281546547059,
     0.07344196231639366,
     0.7561964948066427,
     0.7657494056515943,
     0.45044751923223925,
     0.06419759208444255,
     0.7346040226135025,
     0.009718294473367946,
     0.8137405960196405,
     0.9727592679847963,
     0.41553384162451884,
     0.27564601188013343,
     0.9918670232256722,
     0.7369175571299577,
     0.6397876441119525,
     0.06821400405753424,
     0.701685501666692,
     0.9806190893958773,
     0.30383736153527935,
     0.6231933047010432,
     0.46566598827449085,
     0.08866278074608182,
     0.718947274891555,
     0.9332916548677598,
     0.016919658333045616,
     0.20976386306635222,
     0.26085195513684123,
     0.8587811075082722,
     0.21669764956838483,
     0.9112516766116875,
     0.4397679670437936
    ],
    "chi2_stat_by_byte": [
     264.9856,
     215.6544,
     288.4608,
     239.0016,
     238.336,
     257.15200000000004,
     290.176,
     240.4608,
     310.7328,
     234.752,
     213.4016,
     259.1744,
     268.0064,
     203.9296,
     240.30720000000002,
     246.34879999999998,
     289.408,
     242.5856,
     210.5344,
     266.0864,
     247.3216,
     256.2816,
     285.97760000000005,
     241.4848,
     221.9776,
     305.2288,
     272.9728,
     269.05600000000004,
     230.86079999999998,
     272.4096,
     225.1264,
     257.7664
    ]
   },
   "20": {
    "max_bit_bias": 0.009299999999999975,
    "mean_bit_bias": 0.002869531249999999,
    "bias_threshold_4sigma": 0.01414213562373095,
    "n_bits_bias_over_4sigma": 0,
    "bit_bias": [
     0.00555,
     0.00405,
     0.0039,
     0.0021,
     0.00735,
     0.00195,
     0.00035,
     0.00255,
     0.003,
     0.00205,
     0.0002,
     0.00235,
     0.00285,
     0.0016,
     0.0015,
     0.00195,
     0.005,
     0.00825,
     0.00085,
     0.0074,
     0.0064,
     0.0051,
     0.00175,
     0.0052,
     0.0014,
     0.0046,
     0.00615,
     0.00855,
     0.00485,
     0.0015,
     0.0007,
     0.00605,
     0.00635,
     5e-05,
     0.0002,
     0.004,
     0.00145,
     0.0007,
     0.0036,
     0.0017,
     0.00125,
     0.0009,
     0.00225,
     0.00045,
     0.0043,
     0.0013,
     0.00855,
     0.0038,
     0.0013,
     0.0089,
     0.005,
     0.00165,
     0.001,
     0.00165,
     0.00295,
     0.00255,
     0.00035,
     0.00095,
     0.0016,
     0.0011,
     0.0003,
     0.00405,
     0.0055,
     0.003,
     0.0038,
     0.0002,
     0.00435,
     0.00265,
     0.00135,
     0.0024,
     0.0019,
     0.0043,
     0.00315,
     0.00295,
     0.0018,
     0.00605,
     0.0026,
     0.00025,
     0.0046,
     0.0029,
     0.0067,
     0.00345,
     0.0005,
     0.00235,
     0.0041,
     0.00335,
     0.0047,
     0.0039,
     0.00055,
     0.00085,
     0.0019,
     0.0051,
     0.00305,
     0.00135,
     0.0055,
     0.0007,
     0.00665,
     0.00055,
     0.00185,
     0.00535,
     0.00105,
     0.00185,
     0.0057,
     0.0042,
     0.0024,
     0.001,
     0.0026,
     0.0039,
     0.0026,
     0.00775,
     0.0001,
     0.00155,
     0.0071,
     0.0038,
     0.00565,
     0.0022,
     0.00075,
     0.00475,
     0.0004,
     0.00105,
     0.0027,
     0.0093,
     0.00065,
     0.0062,
     0.00315,
     0.0005,
     0.0009,
     0.00355,
     0.0014,
     0.0007,
     0.0051,
     0.0007,
     0.00245,
     0.00645,
     0.00275,
     0.0012,
     0.0056,
     0.0077,
     0.0024,
     0.0002,
     0.0047,
     0.00365,
     0.0027,
     0.00615,
     0.0031,
     0.00755,
     0.00225,
     0.00135,
     0.0005,
     0.001,
     0.00265,
     0.00325,
     0.00065,
     0.00265,
     0.003,
     0.0048,
     0.0059,
     0.004,
     0.0002,
     0.0035,
     0.00265,
     0.002,
     0.00285,
     0.0001,
     0.0048,
     0.0002,
     0.0024,
     0.0016,
     0.0022,
     0.00115,
     0.00015,
     0.0046,
     0.002,
     0.00115,
     0.00045,
     0.00135,
     0.0021,
     0.00495,
     0.00305,
     0.00275,
     0.0039,
     0.0059,
     0.0025,
     0.0027,
     0.00025,
     0.0004,
     0.0004,
     0.0036,
     0.00235,
     5e-05,
     0.0029,
     0.0037,
     0.00535,
     0.00175,
     0.00315,
     0.0057,
     0.00145,
     0.00355,
     0.0043,
     0.006,
     0.0003,
     0.00575,
     0.00165,
     0.0007,
     0.0051,
     0.0059,
     0.0032,
     0.0003,
     0.00915,
     0.0015,
     0.0052,
     0.0017,
     0.00215,
     0.0077,
     0.00275,
     0.0027,
     0.00035,
     0.00065,
     0.00235,
     0.00285,
     0.00195,
     0.0005,
     0.0029,
     0.0003,
     5e-05,
     0.00615,
     0.0013,
     0.00225,
     0.0033,
     0.00205,
     0.0033,
     0.001,
     0.002,
     0.00085,
     0.00745,
     0.00085,
     0.00175,
     0.00015,
     0.0025,
     0.00185,
     0.00015,
     0.0051,
     0.00225,
     0.00235,
     0.00205,
     0.0016,
     0.00105,
     0.00255,
     0.00065,
     0.0068,
     0.0007,
     0.0008,
     0.0002,
     0.00185,
     0.0023,
     0.0024
    ],
    "max_abs_corr": 0.0285,
    "corr_threshold_4sigma": 0.0282842712474619,
    "n_pairs_corr_over_4sigma": 1,
    "expected_pairs_under_null": 1.0378032523876717,
    "argmax_corr_pair": [
     24,
     11
    ],
    "chi2_min_p": 0.009115272103638538,
    "chi2_n_bytes_rejected_bonferroni": 0,
    "chi2_p_by_byte": [
     0.28749991291688565,
     0.545758826727694,
     0.060125775196399514,
     0.7260422687017494,
     0.31550244194476884,
     0.5403206973269926,
     0.7650213714404914,
     0.043080890413508106,
     0.7761759348172895,
     0.3746697525820334,
     0.875956125602583,
     0.9372250599060514,
     0.22900456745246617,
     0.9681420699190635,
     0.09614850068075961,
     0.17361782177819457,
     0.4055142891171153,
     0.19245844037913223,
     0.7880839008093339,
     0.45670225875494014,
     0.42035110230343087,
     0.9565850194604896,
     0.597962038910269,
     0.8029718233419405,
     0.6367461768429815,
     0.6117300509888199,
     0.009115272103638538,
     0.25625573583502637,
     0.23531345001627568,
     0.9355162776941833,
     0.9408355127754598,
     0.6898086113694969
    ],
    "chi2_stat_by_byte": [
     267.18719999999996,
     251.7504,
     290.9952,
     241.024,
     265.3184,
     252.0576,
     238.38720000000004,
     295.01439999999997,
     237.5936,
     261.6064,
     229.1712,
     221.3376,
     271.4368,
     214.78400000000002,
     284.8768,
     276.12159999999994,
     259.7632,
     274.432,
     236.72320000000002,
     256.7936,
     258.8928,
     217.65120000000002,
     248.78080000000003,
     235.59680000000003,
     246.528,
     247.98720000000003,
     311.3472,
     269.3888,
     270.9504,
     221.6192,
     220.72320000000002,
     243.32799999999997
    ]
   },
   "24": {
    "max_bit_bias": 0.009599999999999997,
    "mean_bit_bias": 0.0026835937499999985,
    "bias_threshold_4sigma": 0.01414213562373095,
    "n_bits_bias_over_4sigma": 0,
    "bit_bias": [
     0.00555,
     0.0012,
     0.0023,
     0.00845,
     0.00045,
     0.00235,
     0.0002,
     0.0014,
     0.00355,
     0.00145,
     0.0001,
     0.002,
     0.00155,
     0.002,
     0.002,
     0.00235,
     0.00485,
     0.00115,
     0.0042,
     0.0087,
     5e-05,
     0.0017,
     0.0031,
     0.0006,
     0.0007,
     0.00215,
     0.00245,
     0.0022,
     0.0037,
     0.00195,
     0.0032,
     0.0,
     0.00035,
     0.0072,
     0.00145,
     0.00125,
     0.0008,
     0.00085,
     0.0031,
     5e-05,
     0.00495,
     0.0017,
     0.00295,
     0.00495,
     0.0041,
     0.00295,
     0.00195,
     0.00025,
     0.0046,
     0.0015,
     0.0003,
     0.00555,
     0.00085,
     0.0038,
     0.0002,
     0.0017,
     0.0039,
     0.0055,
     0.0015,
     0.0031,
     0.0055,
     0.00025,
     0.0018,
     0.00415,
     0.00045,
     0.00545,
     0.00145,
     0.0,
     0.00255,
     0.0012,
     0.0009,
     0.00145,
     0.00275,
     0.00415,
     0.00385,
     0.00235,
     0.001,
     0.0019,
     0.00385,
     0.006,
     0.00215,
     0.0024,
     0.00415,
     0.0008,
     0.00345,
     0.00145,
     0.00265,
     0.00525,
     0.0014,
     0.00265,
     0.00385,
     0.00805,
     0.00085,
     0.0051,
     0.0021,
     0.00385,
     0.00335,
     0.00395,
     0.00615,
     0.00885,
     0.00765,
     0.0003,
     0.0021,
     0.002,
     0.0051,
     0.00065,
     0.0026,
     0.0001,
     0.0054,
     0.0093,
     0.0017,
     0.0002,
     0.00045,
     0.00175,
     0.00175,
     0.0002,
     0.00345,
     0.0047,
     0.00335,
     0.00285,
     0.004,
     0.0023,
     0.0041,
     0.0028,
     0.0014,
     0.00025,
     0.0077,
     0.0081,
     0.00075,
     0.001,
     0.00375,
     0.0004,
     0.00045,
     0.0092,
     0.00235,
     0.0041,
     0.00165,
     0.00045,
     0.00055,
     0.0028,
     0.0011,
     0.00035,
     0.0016,
     0.00035,
     0.00155,
     0.0013,
     0.0002,
     0.0022,
     0.0042,
     0.0053,
     0.00055,
     0.00385,
     0.00175,
     0.00175,
     0.0027,
     0.00255,
     0.00235,
     0.00095,
     0.00195,
     5e-05,
     0.00485,
     0.00075,
     0.00115,
     0.00335,
     0.0007,
     0.0016,
     0.0006,
     0.00485,
     0.00245,
     0.0012,
     0.0017,
     0.00355,
     0.0051,
     0.00425,
     0.00265,
     0.00145,
     0.001,
     0.00215,
     0.0054,
     5e-05,
     0.0027,
     0.0022,
     0.0036,
     0.0025,
     0.00065,
     0.0063,
     0.0002,
     0.0005,
     0.00375,
     0.00235,
     0.00185,
     0.0043,
     0.0008,
     0.0078,
     0.00145,
     0.00105,
     0.0076,
     0.0003,
     0.00095,
     0.0035,
     0.00345,
     5e-05,
     0.00135,
     0.0057,
     0.0096,
     0.0075,
     0.00295,
     0.0008,
     0.00245,
     0.0013,
     0.00285,
     0.00875,
     0.00325,
     0.0006,
     5e-05,
     0.00045,
     0.0023,
     0.00115,
     0.00145,
     0.0039,
     0.0029,
     0.00485,
     0.00275,
     0.00135,
     0.00325,
     0.002,
     0.00125,
     0.0075,
     0.0018,
     0.00155,
     0.00515,
     0.0003,
     0.0007,
     0.00705,
     0.00255,
     0.0002,
     0.0015,
     0.00435,
     0.0016,
     0.00675,
     0.00175,
     0.0031,
     0.00125,
     0.00355,
     0.0002,
     0.00375,
     0.0003,
     0.00105,
     0.00405,
     0.00175,
     0.00525,
     0.0021,
     0.0054,
     0.00185,
     0.00115,
     0.0054
    ],
    "max_abs_corr": 0.03,
    "corr_threshold_4sigma": 0.0282842712474619,
    "n_pairs_corr_over_4sigma": 2,
    "expected_pairs_under_null": 1.0378032523876717,
    "argmax_corr_pair": [
     36,
     230
    ],
    "chi2_min_p": 0.01569305523292343,
    "chi2_n_bytes_rejected_bonferroni": 0,
    "chi2_p_by_byte": [
     0.8260184773087476,
     0.6174719710137814,
     0.7468336178267698,
     0.7602613906043846,
     0.9602856735148442,
     0.5403206973269932,
     0.8990180540005589,
     0.6856716168570687,
     0.3925611650319112,
     0.7388383515525365,
     0.6856716168570687,
     0.6192346313243279,
     0.9412755932886736,
     0.42606411148271406,
     0.6218748886760916,
     0.4895502898037404,
     0.5226304814762764,
     0.9490447857229877,
     0.40855589207128434,
     0.24823762119577936,
     0.9223936843154634,
     0.8524552159200048,
     0.5199082094608575,
     0.7569380832744488,
     0.5235379220260338,
     0.01569305523292343,
     0.7880839008093339,
     0.4442108501649987,
     0.021117543457214068,
     0.6336975469299672,
     0.22474746510720278,
     0.9884878093919051
    ],
    "chi2_stat_by_byte": [
     233.7536,
     247.6544,
     239.6416,
     238.72000000000003,
     216.80640000000002,
     252.05759999999998,
     226.6368,
     243.584,
     260.5312,
     240.17920000000004,
     243.584,
     247.55200000000002,
     220.6464,
     258.56,
     247.39839999999998,
     254.9248,
     253.05599999999998,
     219.2128,
     259.584,
     269.9776,
     223.616,
     231.44959999999998,
     253.20959999999997,
     238.9504,
     253.0048,
     305.9968,
     236.72320000000002,
     257.5104,
     302.92480000000006,
     246.70720000000003,
     271.76959999999997,
     206.46400000000003
    ]
   },
   "32": {
    "max_bit_bias": 0.010199999999999987,
    "mean_bit_bias": 0.002700976562499998,
    "bias_threshold_4sigma": 0.01414213562373095,
    "n_bits_bias_over_4sigma": 0,
    "bit_bias": [
     0.00315,
     0.0014,
     0.00425,
     0.0048,
     0.001,
     0.0021,
     0.0035,
     0.0018,
     0.00415,
     0.0012,
     0.00035,
     0.0021,
     0.0038,
     0.0036,
     0.0014,
     0.0006,
     0.0029,
     0.00545,
     0.00085,
     0.0012,
     0.00315,
     0.00455,
     0.00585,
     0.0025,
     0.00115,
     0.00265,
     0.0027,
     0.0021,
     0.0017,
     0.0024,
     0.006,
     0.0014,
     0.00415,
     0.00455,
     0.00225,
     0.00235,
     0.0047,
     0.00665,
     0.00065,
     0.00045,
     0.006,
     0.00215,
     0.00375,
     0.00105,
     0.0071,
     0.00365,
     0.0026,
     0.00265,
     0.00305,
     0.00465,
     0.00325,
     0.00065,
     0.0018,
     0.0037,
     0.00035,
     0.0012,
     0.0031,
     0.00645,
     0.00385,
     0.00255,
     0.0005,
     0.00265,
     0.001,
     0.0037,
     0.00405,
     0.0031,
     0.0036,
     0.00015,
     0.0001,
     0.00175,
     0.0036,
     0.0015,
     0.0005,
     0.00125,
     0.0006,
     0.0026,
     0.00345,
     0.00375,
     0.0032,
     0.00425,
     0.0075,
     0.00555,
     0.0037,
     0.00425,
     0.0038,
     0.0033,
     0.00295,
     0.00015,
     0.0022,
     0.0026,
     0.0052,
     0.0006,
     0.00305,
     0.00245,
     0.0022,
     0.00035,
     0.00465,
     0.00155,
     0.002,
     0.0007,
     0.00335,
     0.00675,
     0.00175,
     0.00055,
     0.0002,
     0.00315,
     0.0028,
     0.00055,
     0.00965,
     0.00105,
     0.00335,
     0.00145,
     0.0005,
     0.0009,
     0.0046,
     0.00155,
     0.00045,
     0.0006,
     0.00385,
     0.0001,
     0.00635,
     0.0037,
     0.0005,
     0.00245,
     0.00425,
     0.00425,
     0.00225,
     0.0016,
     0.001,
     0.0021,
     0.0015,
     0.0017,
     0.0069,
     0.00135,
     0.00105,
     0.0056,
     0.00295,
     0.0027,
     0.0025,
     0.0009,
     0.0044,
     0.00245,
     0.0102,
     0.0017,
     0.0045,
     0.00115,
     0.0045,
     0.00425,
     0.00065,
     0.0048,
     0.00175,
     0.00345,
     0.0021,
     0.0001,
     0.00455,
     0.00335,
     0.0006,
     0.00355,
     0.00185,
     0.0006,
     0.00335,
     0.00035,
     0.00405,
     0.00305,
     0.00075,
     0.00215,
     0.0056,
     0.0022,
     0.00155,
     0.00025,
     0.0023,
     0.00495,
     0.00195,
     0.00115,
     0.00795,
     0.0024,
     0.00065,
     0.0013,
     0.00185,
     0.0017,
     0.00395,
     0.0031,
     0.00025,
     0.00395,
     0.00105,
     0.0035,
     0.00235,
     0.00465,
     0.0008,
     0.0014,
     0.0006,
     0.00125,
     0.00165,
     0.00445,
     0.0002,
     0.0068,
     0.00075,
     0.0002,
     0.0067,
     0.001,
     0.00495,
     0.00465,
     0.0004,
     0.00275,
     0.0008,
     0.00375,
     0.0032,
     0.00215,
     0.0023,
     0.00015,
     0.00185,
     0.00215,
     0.00325,
     0.00975,
     0.00375,
     0.0009,
     0.0046,
     0.00055,
     0.00595,
     0.006,
     0.00105,
     0.0031,
     0.00495,
     0.0003,
     0.0075,
     0.0025,
     0.001,
     0.00305,
     0.0009,
     0.00315,
     0.00135,
     0.00565,
     0.00265,
     0.00385,
     0.0004,
     0.0055,
     0.0005,
     0.002,
     0.0033,
     0.0005,
     0.0016,
     0.00245,
     0.00105,
     0.0002,
     0.002,
     0.00105,
     0.00335,
     0.00385,
     5e-05,
     0.0003,
     0.0002,
     0.00205,
     0.0018,
     0.00135,
     0.0092,
     0.00345
    ],
    "max_abs_corr": 0.0312,
    "corr_threshold_4sigma": 0.0282842712474619,
    "n_pairs_corr_over_4sigma": 1,
    "expected_pairs_under_null": 1.0378032523876717,
    "argmax_corr_pair": [
     44,
     179
    ],
    "chi2_min_p": 0.0012660042211685557,
    "chi2_n_bytes_rejected_bonferroni": 0,
    "chi2_p_by_byte": [
     0.5984077115233816,
     0.5498347596567926,
     0.6819307632391756,
     0.2771132111565879,
     0.8789233284063669,
     0.6170309999869817,
     0.3784783358743025,
     0.5053954324815045,
     0.27527986775208974,
     0.13486840193174804,
     0.6557375246674714,
     0.0012660042211685557,
     0.9867315548459777,
     0.12717616488555336,
     0.25485080877869654,
     0.03090519921234163,
     0.3092544058444716,
     0.2811695420510874,
     0.34148442177913463,
     0.9143796016329789,
     0.48458027745689364,
     0.687742708973172,
     0.5643016268218644,
     0.9267949514669871,
     0.32817623630076115,
     0.365002901495372,
     0.45580767450905124,
     0.2545002632576231,
     0.10127760380801747,
     0.16816273776071966,
     0.7426602415943524,
     0.805614041610379
    ],
    "chi2_stat_by_byte": [
     248.7552,
     251.51999999999998,
     243.8144,
     267.90400000000005,
     228.864,
     247.68,
     261.37600000000003,
     254.0288,
     268.032,
     280.0384,
     245.4016,
     328.6272,
     207.5392,
     280.90880000000004,
     269.4912,
     298.80320000000006,
     265.728,
     267.6224,
     263.6544,
     224.71680000000003,
     255.2064,
     243.45600000000002,
     250.70080000000002,
     222.976,
     264.49920000000003,
     262.1952,
     256.8448,
     269.5168,
     284.16,
     276.6336,
     239.9232,
     235.39200000000002
    ]
   },
   "64": {
    "max_bit_bias": 0.015199999999999991,
    "mean_bit_bias": 0.002722851562499997,
    "bias_threshold_4sigma": 0.01414213562373095,
    "n_bits_bias_over_4sigma": 1,
    "bit_bias": [
     0.00025,
     0.00655,
     0.00445,
     0.0002,
     0.00065,
     0.00035,
     0.0009,
     0.00285,
     0.00255,
     0.0006,
     0.00195,
     0.00275,
     0.00395,
     0.00245,
     0.0017,
     0.0027,
     0.00495,
     0.002,
     0.0005,
     0.0001,
     0.0025,
     0.0022,
     0.0031,
     0.0017,
     0.0025,
     0.00755,
     0.00055,
     0.00065,
     0.0029,
     0.001,
     0.00835,
     0.0023,
     0.0011,
     0.00355,
     0.00445,
     0.00145,
     0.0015,
     0.00065,
     0.00395,
     0.00535,
     0.00095,
     0.0025,
     0.0003,
     0.0005,
     0.0045,
     0.00095,
     0.0049,
     0.0002,
     0.0048,
     0.00295,
     0.00085,
     0.00345,
     0.0005,
     0.0063,
     0.0021,
     0.0,
     0.0017,
     0.00485,
     0.0005,
     0.00505,
     0.0152,
     0.00055,
     0.0042,
     0.00105,
     0.0036,
     0.0052,
     0.0016,
     0.00675,
     0.00065,
     0.00145,
     0.00075,
     0.0005,
     0.0046,
     0.00095,
     0.00985,
     0.0023,
     0.0045,
     0.0039,
     0.0027,
     0.00195,
     0.0015,
     0.00405,
     0.004,
     0.00615,
     0.0027,
     0.0022,
     0.0049,
     0.0003,
     0.0057,
     0.00295,
     0.0066,
     0.0032,
     0.0015,
     0.0018,
     0.0039,
     0.00315,
     0.0017,
     0.0032,
     0.0001,
     0.0026,
     0.00085,
     0.0014,
     0.0037,
     0.0025,
     0.00335,
     0.00065,
     0.005,
     0.001,
     0.0055,
     0.00245,
     0.00125,
     0.0022,
     0.0031,
     0.0,
     0.0026,
     0.0044,
     0.0023,
     0.00095,
     0.0003,
     0.001,
     0.0024,
     0.00855,
     0.00185,
     0.0051,
     0.00225,
     0.00345,
     0.0003,
     0.0006,
     0.00015,
     0.00245,
     0.00165,
     0.0007,
     0.0012,
     0.0016,
     0.00595,
     0.0029,
     0.00115,
     0.0065,
     0.0016,
     0.00345,
     0.00345,
     0.0007,
     0.00355,
     0.00095,
     0.0027,
     0.0068,
     0.00275,
     0.0004,
     0.00045,
     0.0047,
     0.0016,
     0.00565,
     0.0056,
     0.0045,
     0.0028,
     0.0044,
     0.00355,
     0.00485,
     0.0022,
     0.0009,
     0.0001,
     0.00135,
     0.00475,
     0.00055,
     0.0002,
     0.00485,
     0.00085,
     0.00235,
     0.0013,
     0.0024,
     0.00175,
     0.00185,
     0.0016,
     0.00085,
     0.0021,
     0.00195,
     0.00405,
     0.0006,
     0.0046,
     0.0085,
     0.00105,
     0.0034,
     0.00055,
     0.00955,
     0.00115,
     0.00765,
     0.00225,
     0.0027,
     0.00615,
     0.00285,
     0.0016,
     0.0002,
     0.00515,
     0.00015,
     0.005,
     0.0007,
     0.0021,
     0.0012,
     0.0002,
     0.00235,
     0.00015,
     0.0008,
     0.00325,
     0.0009,
     0.00515,
     0.00105,
     0.0058,
     0.00065,
     0.00905,
     0.0011,
     0.0043,
     0.001,
     0.00205,
     0.00035,
     0.008,
     0.00665,
     0.00255,
     0.01055,
     0.00355,
     0.0012,
     0.00635,
     0.0021,
     0.0,
     0.00145,
     0.00015,
     0.00455,
     0.00035,
     0.0002,
     0.0013,
     0.00565,
     0.0,
     0.0014,
     0.0013,
     0.002,
     0.00045,
     0.0007,
     0.00175,
     0.00195,
     0.005,
     0.0018,
     0.00605,
     0.00045,
     0.00375,
     0.0002,
     0.0024,
     5e-05,
     0.00155,
     0.00365,
     0.004,
     0.00075,
     0.0071,
     0.00605,
     0.00075,
     0.0026,
     0.00305,
     0.0028
    ],
    "max_abs_corr": 0.029,
    "corr_threshold_4sigma": 0.0282842712474619,
    "n_pairs_corr_over_4sigma": 3,
    "expected_pairs_under_null": 1.0378032523876717,
    "argmax_corr_pair": [
     15,
     123
    ],
    "chi2_min_p": 0.00045768341706625844,
    "chi2_n_bytes_rejected_bonferroni": 0,
    "chi2_p_by_byte": [
     0.6984274041307951,
     0.7157686412858265,
     0.8842394523030357,
     0.660435800133207,
     0.8003095433026777,
     0.5773658885698287,
     0.5040357974894675,
     0.962612140740972,
     0.31707382965889186,
     0.9703518044526012,
     0.08452321869476567,
     0.3917025677805906,
     0.9844545711554986,
     0.6898086113694964,
     0.9324835092618332,
     0.28042968771757787,
     0.5724166365668076,
     0.3990206459689045,
     0.13030386248965553,
     0.12585263850640602,
     0.049468920604971815,
     0.9305144188170003,
     0.00045768341706625844,
     0.5357864930773693,
     0.07043698857791295,
     0.32618065742855645,
     0.2923904901283468,
     0.5280750373172092,
     0.5746672970707039,
     0.6397876441119525,
     0.7517236889823274,
     0.02184601104318416
    ],
    "chi2_stat_by_byte": [
     242.79039999999998,
     241.6896,
     228.3008,
     245.12,
     235.8016,
     249.9584,
     254.10559999999998,
     216.2432,
     265.216,
     214.144,
     286.6176,
     260.5824,
     208.76800000000003,
     243.328,
     222.10559999999998,
     267.6736,
     250.24,
     260.1472,
     280.5504,
     281.0624,
     293.37600000000003,
     222.4128,
     336.5888,
     252.3136,
     288.9984,
     264.6272,
     266.8544,
     252.7488,
     250.112,
     246.34879999999998,
     239.3088,
     302.5664
    ]
   }
  },
  "random_oracle_control": {
   "max_bit_bias": 0.010199999999999987,
   "mean_bit_bias": 0.0028013671874999964,
   "bias_threshold_4sigma": 0.01414213562373095,
   "n_bits_bias_over_4sigma": 0,
   "bit_bias": [
    0.0022,
    0.00895,
    0.0057,
    0.0024,
    0.00205,
    0.00285,
    0.00135,
    0.00155,
    0.003,
    0.00145,
    0.0019,
    0.00185,
    0.00105,
    0.00445,
    0.00155,
    0.00365,
    0.00195,
    0.00345,
    0.0025,
    0.0018,
    0.0029,
    0.00135,
    0.00025,
    0.00435,
    0.0005,
    0.00125,
    0.00485,
    0.0073,
    0.00405,
    0.00345,
    0.00185,
    0.00095,
    0.0048,
    0.00045,
    0.00025,
    0.00255,
    0.0095,
    0.0014,
    0.00075,
    0.00135,
    0.00595,
    0.00205,
    0.0031,
    0.0102,
    0.00425,
    0.0001,
    0.0005,
    0.00155,
    0.00405,
    0.0023,
    0.00085,
    0.0009,
    0.0059,
    0.00545,
    0.00045,
    0.00035,
    0.0001,
    0.0018,
    0.0068,
    0.0009,
    0.00315,
    0.00185,
    0.00405,
    0.00235,
    0.00025,
    0.00205,
    0.0019,
    0.0099,
    0.0022,
    0.0039,
    0.0058,
    0.0005,
    0.00035,
    0.00615,
    0.00345,
    0.00045,
    0.00195,
    0.00105,
    0.00175,
    0.0065,
    0.00235,
    0.0041,
    0.00185,
    0.0075,
    0.0011,
    0.0008,
    0.0017,
    0.00745,
    0.0038,
    0.00235,
    0.00305,
    0.00265,
    0.0024,
    0.0012,
    0.0052,
    0.0022,
    0.0005,
    0.00045,
    0.0021,
    0.0008,
    0.0023,
    0.0022,
    0.0025,
    0.00245,
    0.00225,
    0.00255,
    0.00155,
    0.0028,
    0.0006,
    0.00085,
    0.0051,
    0.0008,
    0.00405,
    0.00135,
    0.00195,
    0.00215,
    0.0058,
    0.0002,
    0.00215,
    0.001,
    0.00285,
    0.0045,
    0.00505,
    0.0002,
    0.00145,
    0.00065,
    0.00315,
    0.00155,
    5e-05,
    0.00485,
    0.0027,
    0.0021,
    0.002,
    0.0009,
    0.00725,
    0.00435,
    0.0043,
    0.0071,
    0.00045,
    0.0037,
    0.0078,
    0.0011,
    0.00415,
    0.00315,
    0.00125,
    0.00125,
    0.0013,
    0.0024,
    0.002,
    0.0004,
    0.00255,
    0.0032,
    0.0026,
    0.0005,
    0.00635,
    0.00095,
    0.00515,
    0.0051,
    0.00365,
    0.0031,
    0.0013,
    0.00245,
    0.0007,
    0.00525,
    0.00135,
    0.00085,
    0.002,
    0.0046,
    0.00315,
    0.00155,
    0.0013,
    0.00225,
    0.0016,
    0.0022,
    0.0015,
    0.00095,
    0.0089,
    0.0013,
    0.0081,
    0.00115,
    0.0014,
    0.0028,
    0.00355,
    0.005,
    0.0019,
    0.0004,
    0.00075,
    0.0003,
    0.00525,
    0.0006,
    0.0076,
    0.00735,
    0.00055,
    0.0018,
    0.00975,
    0.0002,
    0.00335,
    0.00035,
    0.0025,
    0.00035,
    0.0018,
    0.0082,
    0.00645,
    0.00415,
    0.0017,
    0.0021,
    0.00055,
    0.00415,
    0.0052,
    0.00445,
    0.00685,
    0.0079,
    0.00075,
    0.00185,
    0.00465,
    0.00135,
    0.00115,
    0.00215,
    0.0009,
    0.0002,
    0.0001,
    0.00285,
    0.0033,
    0.0019,
    0.00835,
    0.0003,
    0.0015,
    0.00295,
    0.0037,
    0.00405,
    0.00225,
    0.0027,
    0.00195,
    0.00415,
    0.0026,
    0.0046,
    0.00445,
    0.0027,
    0.0069,
    0.0003,
    0.00155,
    0.0022,
    0.00055,
    0.00025,
    0.00545,
    0.0022,
    0.005,
    0.0006,
    0.00055,
    0.0044,
    0.00245,
    0.006,
    0.00255,
    0.00075,
    0.00365,
    0.0006
   ],
   "max_abs_corr": 0.0289,
   "corr_threshold_4sigma": 0.0282842712474619,
   "n_pairs_corr_over_4sigma": 1,
   "expected_pairs_under_null": 1.0378032523876717,
   "argmax_corr_pair": [
    5,
    13
   ],
   "chi2_min_p": 0.012119396599320872,
   "chi2_n_bytes_rejected_bonferroni": 0,
   "chi2_p_by_byte": [
    0.738070817278362,
    0.8789233284063664,
    0.48683867003502074,
    0.3887025364906716,
    0.8532903105697484,
    0.9866426049961156,
    0.36249723637899883,
    0.8407429934051927,
    0.9279938948589666,
    0.37975100980269405,
    0.8516171300937284,
    0.32578221272008123,
    0.4287078601475222,
    0.2622754245380079,
    0.7248653147809819,
    0.3333906534053398,
    0.2716329157228026,
    0.012119396599320872,
    0.8721799378597079,
    0.6806801788311811,
    0.7729663316743332,
    0.3670961218033042,
    0.11256040911349191,
    0.0874881514513727,
    0.942003573333672,
    0.3844306770350118,
    0.3908446098651184,
    0.51809344976663,
    0.35999841927679027,
    0.8442285937036266,
    0.8065996808052879,
    0.2454830813576377
   ],
   "chi2_stat_by_byte": [
    240.2304,
    228.86400000000003,
    255.0784,
    260.76160000000004,
    231.37280000000004,
    207.59040000000002,
    262.34880000000004,
    232.49920000000003,
    222.79680000000002,
    261.29920000000004,
    231.5264,
    264.65279999999996,
    258.4064,
    268.9536,
    241.10080000000002,
    264.1664,
    268.288,
    308.5824,
    229.5552,
    243.8912,
    237.824,
    262.0672,
    282.6752,
    286.1568,
    220.5184,
    261.0176,
    260.6336,
    253.31199999999998,
    262.5024,
    232.192,
    235.3152,
    270.18240000000003
   ]
  }
 },
 "elapsed_s": 7.711,
 "op_stats": {
  "compress_calls": 20000,
  "wall_s": 7.552,
  "peak_rss_mb": 623.5
 }
}