text
stringlengths 1
2.05k
|
|---|
0.286_732_58,
-0.067_444_466,
0.005_744_403,
-0.038_390_506,
],
vec![
-0.308_161_3,
0.022_639_94,
-0.040_295_47,
-0.061_031_915,
0.307_230_35,
-1.548_439_5,
-0.172_096_15,
0.440_008_9,
-0.280_834_56,
0.058_319_97,
],
vec![
0.458_224_1,
0.032_741_494,
0.055_647_448,
-0.113_833_08,
0.055_677_84,
-0.582_109_33,
-0.714_378_95,
0.259_702_7,
0.250_479_64,
-0.138_732_57,
],
vec![
-0.168_027_2,
-0.447_512,
0.073_285_77,
-0.102_245_696,
0.211_200_82,
0.355_911_34,
-0.286_303_85,
0.156_530_63,
-0.162_364_41,
0.003_130_642_5,
],
vec![
0.185_978_83,
-0.570_623_6,
0.027_612_407,
-0.266_153_25,
0.065_444_656,
0.182_009_19,
0.460_085_06,
0.042_860_564,
-0.435_943_75,
-0.122_467_645,
],
vec![
-0.295_862_8,
-0.726_465_9,
0.146_314_5,
0.105_163_55,
0.482_668_34,
-1.920_136_9,
-0.409_983_5,
0.098_039_93,
0.039_303_19,
0.032_061_82,
],
vec![
0.452_977_72,
-0.052_895_073,
-0.147_236_78,
0.137_071_73,
0.388_998_57,
-0.387_540_73,
-1.293_666_4, |
0.330_499_02,
-0.035_247_9,
-0.099_417_49,
],
vec![
-0.183_451_46,
-1.082_602_7,
0.062_292_03,
0.275_495_1,
-0.361_221_02,
0.438_744_07,
-0.066_024_98,
0.169_357_73,
-0.069_054_18,
0.049_622_405,
],
vec![
-0.193_424_6,
0.136_046_48,
-0.034_462_936,
-0.628_403_3,
-0.393_009_78,
0.316_833_26,
0.231_041_85,
0.009_123_952,
-0.018_631_496,
0.106_618_166,
],
vec![
-0.034_093_65,
0.055_894_96,
0.231_049_24,
0.157_845_62,
0.202_304_78,
-0.788_765_5,
-0.634_623_7,
0.049_663_093,
0.184_820_65,
-0.288_572_73,
],
vec![
0.628_891_6,
0.168_256_74,
0.297_308_53,
-0.028_807_169,
0.164_852_84,
-0.840_128,
-0.878_446_5,
0.055_374_74,
0.087_389_93,
-0.110_066_74,
],
vec![
-0.396_640_54,
-0.432_740_78,
-0.332_767_5,
0.127_875_18,
-0.812_790_04,
0.703_349_65,
0.588_560_9,
-0.182_696_03,
0.048_864_517,
-0.205_589_47,
],
vec![
0.322_684_76,
0.360_689_85,
-0.641_543_6,
-0.576_271_9,
-0.008_394_989,
-0.197_300_12,
0.157_365_19,
-0.066_966_61, |
-0.090_489_98,
0.292_275_55,
],
vec![
-0.272_229_2,
0.315_918_8,
0.124_067_43,
0.765_923_2,
0.052_089_103,
-1.410_848_4,
-0.537_994_5,
0.172_129_54,
0.392_988_62,
-0.357_418_63,
],
vec![
0.452_900_53,
0.376_274_23,
-0.004_683_544,
0.227_762_8,
0.130_249_32,
-0.535_433_2,
-0.777_915,
0.194_872_07,
-0.117_443_47,
0.141_114_46,
],
vec![
-0.245_853_66,
-0.098_773_584,
-0.266_520_92,
-0.224_863_57,
0.072_216_59,
0.338_712_57,
0.346_051_6,
-0.182_631_73,
0.372_764_44,
-0.743_095_1,
],
vec![
-0.024_514_986,
-0.186_378_88,
-0.195_197_45,
-0.539_516_1,
0.022_574_846,
-0.175_003_86,
-0.087_664_865,
-0.077_440_86,
-0.164_217_31,
0.861_473_14,
],
vec![
-1.176_825_3,
0.600_365_4,
0.404_460_37,
-0.293_111_56,
-0.260_110_77,
-0.525_379_7,
-0.275_370_5,
0.106_287_07,
0.424_896_2,
-0.136_489_18,
],
vec![
0.222_941_64,
0.029_136_565,
0.116_637_25,
-0.101_515_725,
-0.630_471_9,
-0.480_908,
-0.131_508_16,
-0.083_099_48,
0.181_400_16, |
0.018_836_357,
],
vec![
-0.698_895_8,
0.397_754_07,
-0.329_033_97,
-0.829_641_5,
-0.215_803_35,
0.786_333_6,
-0.887_877_46,
-0.488_177_72,
0.073_410_35,
-0.162_985_18,
],
vec![
-0.612_169_5,
0.394_888_82,
0.265_389_77,
-0.136_720_23,
-0.158_774_88,
-0.750_894,
-1.383_749_1,
0.339_417_8,
-0.662_179_9,
0.269_224_73,
],
vec![
-0.072_811_88,
0.551_298_3,
-0.895_189_5,
-0.493_569_1,
-0.362_095_6,
-0.150_884_27,
0.169_696_85,
0.268_407_05,
-0.066_993_49,
0.132_940_23,
],
vec![
-0.269_540_67,
0.507_770_36,
-1.427_464_2,
-0.734_724_04,
0.670_633_8,
-0.069_052_58,
-0.740_904_9,
0.356_450_95,
-1.593_374_7,
-0.755_425_75,
],
vec![
0.279_056_88,
0.221_050_87,
-0.755_368_77,
-0.364_125_76,
-0.068_900_07,
-0.011_887_714,
-0.325_549_84,
0.097_667_33,
-0.171_342_55,
-0.043_467_447,
],
vec![
-0.267_086_36,
-0.003_381_063_2,
1.405_259_5,
0.756_799_3,
-0.517_645_36,
-0.933_590_9,
-0.861_024_8,
-0.150_117_44,
0.463_376_55,
-0.722_872, |
],
vec![
0.139_099_29,
0.409_524_17,
-0.086_981_5,
-0.271_768_42,
0.187_499_46,
-0.228_399_5,
0.182_433_95,
-0.265_324_68,
-0.142_243_36,
0.101_598_375,
],
vec![
0.300_135_97,
0.836_247_44,
-0.041_253_883,
0.630_782_84,
-0.605_257_15,
-1.116_649_7,
-0.420_335_23,
-0.816_147_4,
-1.019_898_3,
0.425_557_2,
],
vec![
0.274_344_47,
-0.073_296_27,
-0.139_558_94,
-0.127_952_72,
-0.147_588_34,
-0.144_747_42,
0.132_950_99,
0.321_829_9,
-0.121_689_826,
0.006_479_399,
],
vec![
-0.303_101_42,
-0.762_328_3,
1.457_457_9,
0.527_697_86,
-0.100_971_86,
-0.107_270_725,
-0.913_583_7,
-0.301_846_62,
-0.585_341_2,
-0.335_157_7,
],
vec![
0.114_905_74,
-0.830_199_8,
0.112_558_655,
0.260_842_4,
-0.028_218_849,
-0.104_110_68,
0.330_357_46,
-0.289_884_24,
-0.151_965_86,
0.032_366_27,
],
vec![
0.478_458,
-0.387_130_95,
-0.257_576_47,
-0.438_277_48,
0.059_315_678,
0.175_215_1,
0.827_331_6,
-0.895_138_6,
-0.217_182_8,
-0.067_494_41,
], |
vec![
-0.119_126_08,
-0.331_597_45,
-0.124_621_876,
0.422_070_12,
-0.404_816_3,
0.149_707_75,
-0.334_017_57,
-0.044_708_37,
-0.099_329_48,
0.051_153_32,
],
vec![
-0.040_725_574,
0.289_044_26,
0.314_958_24,
-0.140_709_3,
0.047_588_103,
-0.066_910_43,
-0.671_796_2,
0.405_210_1,
-0.104_440_644,
-0.356_477_62,
],
vec![
0.354_324_8,
0.119_619_39,
-0.241_285_52,
0.639_350_9,
-0.132_232_64,
-0.158_766_76,
0.331_828_2,
-0.224_304_81,
-0.384_496_63,
-0.419_428_74,
],
vec![
0.177_356_42,
0.066_063_36,
-1.193_538_1,
-0.978_156_1,
0.130_779_65,
0.120_268_09,
7.424_281e-5,
-0.342_935_6,
0.447_567_02,
0.269_017_25,
],
vec![
-0.120_202_97,
-0.495_071_47,
-0.274_519_18,
0.217_942_33,
-0.305_900_04,
0.293_836_6,
-0.254_543_84,
-0.036_753_487,
0.248_177_4,
0.110_505_62,
],
vec![
-0.557_222_7,
-0.440_128_18,
0.688_790_44,
-0.358_640_04,
-0.019_008_324,
-0.128_100_08,
-0.436_285_23,
0.567_290_5,
-0.040_509_716,
-0.144_320_6,
],
vec![ |
0.178_449_63,
-0.038_515_09,
-0.128_087_36,
0.622_190_7,
-0.044_439_893,
-0.059_167_873,
0.016_673_934,
0.057_158_887,
-0.473_533_18,
-0.514_728_07,
],
vec![
0.201_881_47,
-0.331_614_8,
-1.440_653_1,
-1.318_789_6,
0.294_876_52,
0.125_336_42,
0.064_994_34,
0.061_897_79,
0.447_803_8,
0.315_823_6,
],
vec![
0.185_746_1,
0.026_766_932,
-0.182_838_05,
-0.193_032_18,
-0.191_380_25,
0.368_004_92,
-0.685_593_2,
-0.157_489_08,
0.131_066_74,
0.104_366_794,
],
vec![
-0.263_003_98,
-0.657_123_57,
0.488_098_4,
0.217_409_31,
-0.087_866_21,
0.232_031_39,
-0.269_720_44,
-0.295_114_82,
0.061_767_95,
-0.128_803_58,
],
vec![
-0.310_965_54,
-0.075_754_36,
-0.154_235_14,
0.432_455_93,
-0.477_501_12,
-0.202_793_76,
0.262_324_48,
0.195_774_76,
-0.491_202_83,
-0.246_570_48,
],
vec![
0.627_617_9,
0.130_057_8,
-0.699_788_63,
-0.849_566_5,
-0.067_410_79,
0.087_328_6,
-0.217_621_52,
0.255_800_58,
0.420_218,
-0.264_121_9,
],
vec![
-0.538_376_87, |
0.208_895,
0.156_969_23,
0.196_063_2,
0.298_645_4,
-0.041_912_43,
-0.819_426_4,
-0.240_417_4,
-0.098_353_334,
0.238_580_81,
],
vec![
-0.552_053_33,
-0.496_717_3,
0.062_322_896,
0.024_250_77,
-0.391_012_04,
0.376_012_15,
0.596_021_83,
-0.888_136_6,
0.164_711_6,
-0.238_519_71,
],
vec![
-0.372_523_64,
0.355_542_48,
-0.066_765_964,
0.190_823_06,
-0.305_456_5,
-0.475_693_26,
0.038_526,
0.092_013_51,
-0.336_231,
-0.025_312_696,
],
vec![
0.769_496_56,
0.406_899_72,
-0.332_427_3,
-0.445_128_35,
-0.627_195_9,
-0.021_385_033,
-0.173_525_02,
0.440_466_17,
0.014_422_986,
-0.515_037_36,
],
vec![
-0.475_403_67,
0.171_622_47,
-0.163_997_93,
0.218_631_22,
0.053_364_147,
-0.018_264_074,
-0.638_809,
0.136_716_44,
-0.230_133_73,
0.381_585_48,
],
vec![
-1.587_163_6,
-0.057_017_2,
-0.228_662_16,
0.127_203_36,
-0.037_028_76,
0.185_854_69,
0.693_080_66,
-0.228_369_34,
-0.386_401_03,
-0.211_039_62,
],
vec![
-0.197_697_91,
-0.439_417_15, |
0.216_187_72,
-0.003_696_140_1,
-0.160_376_13,
-0.774_046_4,
-0.031_133_998,
0.276_498_97,
0.028_302_014,
-0.084_735_41,
],
vec![
0.090_599_21,
0.285_985_1,
-0.131_176_73,
-0.362_053_6,
0.210_222_94,
0.005_901_443_3,
-0.687_696_1,
-0.021_012_772,
-0.088_486_426,
0.272_508_86,
],
vec![
-0.192_863_09,
-0.651_285_77,
-0.431_206_1,
0.247_956_42,
-0.883_735_1,
0.068_415_62,
0.074_062_16,
0.190_670_46,
-0.138_411_24,
0.383_481_26,
],
vec![
-0.262_158_33,
-0.356_746_85,
0.023_556_845,
-0.193_073_73,
-0.044_097_982,
0.221_795_44,
0.191_991_46,
0.201_811_48,
0.030_214_434,
-0.043_852_43,
],
vec![
-0.123_064_674,
-0.007_795_926,
0.224_337_09,
-0.068_207_6,
0.218_500_39,
-1.402_807_7,
-0.185_828_67,
-0.275_227_55,
0.153_196_45,
-0.167_605_76,
],
vec![
0.465_332_27,
0.239_009_44,
0.239_487_83,
-0.049_675_647,
0.322_712_87,
-0.361_904_1,
-0.783_763_95,
-0.214_422_43,
-0.097_743_59,
0.090_962_596,
],
vec![
0.043_396_69,
-1.521_370_5,
-0.508_4 |
83_9,
0.592_855_33,
-0.660_342,
0.312_460_4,
0.362_794_82,
-0.059_432_253,
0.339_404_9,
-0.327_934_7,
],
vec![
-0.104_387_17,
0.009_338_523,
-0.232_447_45,
-0.035_054_065,
-0.268_270_7,
0.478_249_04,
0.269_224_76,
-0.012_519_61,
-0.189_450_31,
-0.016_516_596,
],
vec![
0.107_782_304,
0.049_322_58,
0.437_887_46,
0.041_052_792,
0.288_527_52,
-2.289_670_2,
-0.452_973_34,
-0.328_008_35,
0.655_561_1,
-0.149_166_33,
],
vec![
0.265_693_13,
0.528_191_15,
0.106_833_115,
-0.031_265_777,
-0.066_381_5,
-0.430_439_44,
-0.698_310_3,
0.241_947_83,
-0.188_879_47,
0.252_632_14,
],
vec![
-0.216_927_25,
0.121_004_46,
-0.445_989_88,
0.430_346_04,
-0.351_781_46,
0.152_730_35,
-0.425_484_9,
-0.088_983_38,
0.422_131_7,
-0.464_601_13,
],
vec![
-0.360_672_53,
0.272_008_96,
-0.080_057_725,
0.201_231_36,
0.255_325_1,
0.169_969_59,
-0.024_861_794,
-0.017_412_573,
-0.317_985_1,
-0.423_185_65,
],
vec![
0.121_128_2,
-0.288_258_37,
0.299_752_38,
0 |
.867_127_4,
-0.493_007_18,
-1.506_429_4,
-0.199_151_4,
0.115_783_59,
0.173_776_28,
-0.029_131_787,
],
vec![
0.606_763_3,
0.342_573_73,
-0.273_926_44,
-0.550_023_85,
-0.069_819_674,
-0.349_484_98,
-0.321_020_07,
0.041_649_144,
-0.116_718_37,
0.200_557_54,
],
vec![
-0.276_791_4,
0.079_295_136,
-0.143_560_71,
0.106_754_03,
-0.082_330_11,
0.400_106_37,
0.196_720_81,
-0.285_766_4,
0.135_733_26,
-0.657_691_24,
],
vec![
-0.193_547_56,
-0.307_601_33,
-0.076_231_666,
-0.365_790_6,
0.473_794_88,
-0.260_530_92,
0.097_811_81,
0.323_311_3,
-0.560_959_7,
-0.132_552,
],
vec![
-0.556_238_5,
0.743_008_6,
0.481_494_16,
0.769_308_3,
-0.494_354_67,
-1.742_812_3,
-0.691_182_9,
0.270_070_43,
0.570_542_63,
-0.470_118_34,
],
vec![
0.221_604_51,
0.072_595_246,
-0.703_638_85,
-0.193_811_58,
-0.599_087_06,
-0.332_261_5,
0.276_940_14,
0.066_991_21,
-0.039_732_546,
0.321_589_65,
],
vec![
-0.809_401_5,
-0.330_654_8,
0.653_460_8,
-0.424_901_87, |
-0.184_362_64,
0.578_688_2,
-0.596_104_8,
-0.250_692_34,
-0.054_308_05,
-0.653_985_6,
],
vec![
-0.757_264_26,
0.429_740_1,
0.716_024_1,
0.120_151_47,
-0.597_643_4,
0.180_705_19,
-0.806_157_6,
0.257_461_58,
-0.015_053_513,
-1.014_189_7,
],
vec![
-0.394_121_2,
0.859_029_7,
0.112_626_344,
-0.747_587_4,
0.334_439_93,
-0.228_314_1,
-0.685_789_64,
-0.002_370_33,
-0.350_976_56,
0.267_583_22,
],
vec![
-0.533_223_7,
1.192_899_5,
0.018_847_07,
1.299_052_2,
-0.959_604_1,
-1.109_045_9,
-0.371_553_8,
1.284_699,
-1.822_740_6,
-1.447_136_5,
],
vec![
-0.346_053_45,
0.541_713_8,
-0.737_071_9,
-0.844_016_97,
-0.144_290_58,
0.096_683_5,
-0.726_433_8,
0.502_831_04,
-0.315_663_22,
0.241_362_14,
],
vec![
-0.237_618_37,
-0.054_344_088,
0.382_082_6,
0.053_052_82,
-0.476_174_8,
0.161_550_98,
0.060_836_162,
0.176_722_03,
-0.145_660_25,
-0.643_206_1,
],
vec![
0.313_486_46,
-0.040_602_36,
-0.581_557_5,
-0.075_771_7,
-0.297_903_95,
-0.003_757_ |
668_7,
0.189_653_56,
0.180_933_73,
-0.196_731_37,
-0.133_598_33,
],
vec![
1.344_613_9,
1.172_998_8,
-0.202_547_77,
0.198_246_9,
-1.576_345_1,
-0.293_439_12,
-0.972_407_04,
-0.068_904_13,
-0.607_898_7,
0.297_143_25,
],
vec![
0.117_273_1,
-0.561_625_5,
-0.528_112,
-0.637_099_2,
0.209_079_3,
-0.027_501_42,
0.148_175_52,
0.340_330_1,
-0.197_580_55,
0.090_481_9,
],
vec![
-0.729_872_47,
0.592_992_07,
0.346_012_18,
0.104_230_6,
0.083_044_88,
0.357_109_3,
-0.601_610_66,
0.086_607_635,
-0.173_702_08,
-0.626_230_9,
],
vec![
0.122_043,
-0.018_491_197,
0.319_558_86,
-0.254_409_13,
-0.078_237_48,
-0.070_578_46,
0.239_353_3,
0.064_942_785,
-0.123_233_385,
-0.340_646,
],
vec![
0.582_297_4,
0.158_174_6,
-0.713_005_66,
-0.572_291_8,
-0.609_091_6,
0.350_477_34,
0.675_527_16,
-0.521_912_7,
-0.052_122_705,
0.171_072_05,
],
vec![
0.105_577_48,
0.187_516_94,
-0.722_696_54,
-0.129_852_52,
-0.061_905_567,
0.474_712_94,
-0.111_769_19, |
0.223_120_48,
0.017_446_205,
-0.148_053_33,
],
vec![
-1.101_677_7,
0.066_154_94,
0.204_744_26,
0.431_297_1,
-0.281_498_5,
0.113_914_3,
-1.118_692_2,
0.674_603_04,
-0.015_837_92,
-0.210_914_73,
],
vec![
0.392_721_44,
-0.259_683_13,
0.303_213_18,
-0.002_489_187,
-0.032_669_59,
-0.399_611_35,
0.225_581_81,
0.264_008_67,
-0.450_054_56,
-0.351_068_35,
],
vec![
0.466_883_63,
-0.599_088_3,
-1.143_738,
-0.515_279_65,
0.090_717_19,
0.015_569_723,
0.412_253_83,
-0.076_723_94,
-0.476_769_86,
0.326_240_87,
],
vec![
-0.205_071_79,
0.077_396_1,
-0.564_069_6,
-0.010_824_216,
0.148_514_58,
0.648_877_9,
-0.107_025_71,
-0.133_371_64,
-0.317_537_13,
0.053_802_9,
],
vec![
-0.002_588_406_4,
-0.628_745,
0.242_333_65,
-0.274_682_16,
0.005_985_648,
-0.230_738_85,
-0.661_476_2,
0.266_736_95,
0.011_729_551,
-0.106_212_83,
],
vec![
0.473_162_8,
0.263_148_2,
0.284_964_68,
0.150_511_85,
-0.234_422_31,
-0.414_224_8,
0.007_981_45,
0.192_275_82, |
-0.492_831_2,
-0.820_278_8,
],
vec![
0.448_108_9,
0.074_436_07,
-0.762_030_7,
-0.900_243,
-0.169_277_79,
0.501_497_5,
0.002_328_606_3,
0.056_543_965,
0.018_135_436,
0.052_846_033,
],
vec![
-0.012_141_257_5,
-0.190_645_49,
-0.550_309_24,
0.019_054_85,
0.281_741_7,
0.040_815_17,
-0.135_266_07,
0.038_118_172,
-0.057_037_137,
0.162_227_14,
],
vec![
-0.052_483_853,
-1.643_899_3,
0.285_089_28,
0.156_052_72,
0.180_602_33,
0.416_198_43,
0.111_903_85,
-0.716_806_7,
0.020_466_35,
-0.168_626_58,
],
vec![
-0.290_455_64,
0.152_129_28,
0.204_712_85,
0.267_162_02,
-0.640_323,
-0.111_096_29,
-0.082_332_194,
0.179_990_7,
-0.276_141_3,
-0.579_719_07,
],
vec![
0.411_667_73,
-0.181_603_67,
-0.617_817_9,
-0.463_887_9,
0.234_000_09,
0.517_197_8,
0.250_540_02,
-0.753_978_97,
0.009_809_169,
-0.214_948_12,
],
vec![
-0.391_700_7,
0.399_570_94,
-0.365_930_32,
-0.166_463_48,
0.427_735_72,
0.122_039_06,
-1.010_15,
-0.181_935_43,
0.056_771_737, |
0.396_852,
],
vec![
-0.350_486_04,
-0.601_626_8,
0.281_698_82,
0.233_527_91,
-0.144_274_12,
0.168_160_99,
0.442_113_46,
-0.959_784_03,
-0.128_670_66,
-0.297_427_24,
],
vec![
-0.352_210_25,
0.495_663_37,
0.424_403_73,
-0.108_114_14,
-0.879_724_26,
-0.030_185_6,
0.297_537_15,
0.167_476_2,
-0.380_549_04,
-0.517_068_5,
],
vec![
-0.371_702_82,
0.131_365_8,
-0.030_542_398,
-0.460_730_94,
0.151_406_96,
0.211_525,
-0.245_326_33,
-0.119_136_095,
0.192_782_01,
0.041_209_22,
],
vec![
-1.033_863_7,
0.136_977_34,
-0.492_126_97,
0.453_187,
0.086_104_54,
0.129_965_51,
-0.221_679_52,
-0.755_657,
0.053_589_15,
0.655_690_8,
],
vec![
-0.544_424_5,
-0.237_751_4,
0.348_604_2,
-0.028_291_645,
-0.068_502_12,
0.086_517_86,
0.268_235_68,
-0.182_507_92,
-0.429_467_47,
-0.250_924_17,
],
vec![
-0.011_818_108,
0.797_707_86,
0.208_938_8,
-0.604_700_74,
-0.220_071_33,
-0.039_925_22,
0.163_447_38,
0.073_279_925,
-0.220_862_34,
-0.289_076_3, |
],
vec![
0.129_709_68,
0.210_747_32,
-0.126_102_95,
-0.023_825_37,
0.344_960_84,
-0.135_978_13,
-0.421_447_52,
-0.209_916_95,
-0.252_269_18,
0.330_932_3,
],
vec![
-0.487_710_3,
-0.460_413_96,
-0.365_575_58,
0.197_697_94,
-0.364_175_53,
0.058_523_543,
0.196_115_24,
-0.393_850_65,
0.207_997_77,
0.395_273,
],
vec![
-0.198_588_37,
0.019_333_296,
-0.446_362_64,
-0.038_646_203,
0.071_068_4,
-0.048_991_922,
0.210_087_58,
0.239_180_73,
-0.022_882_91,
-0.188_380_54,
],
vec![
-0.261_959_97,
0.333_264_44,
0.400_236_37,
-0.264_737_37,
0.274_795_5,
-0.317_504_9,
-0.618_102_55,
0.205_943_23,
-0.636_521_04,
0.152_472_51,
],
vec![
0.022_477_72,
0.134_431_12,
-0.213_510_2,
0.248_061_33,
0.422_189_4,
-0.283_444_37,
-0.269_078_14,
0.057_764_01,
-0.206_792_04,
0.123_093_69,
],
vec![
-0.233_692_9,
-1.017_291_4,
-0.150_414_63,
0.274_501_23,
0.148_620_25,
0.027_794_993,
-0.129_495_64,
0.074_302_66,
0.300_377_1,
-0.246_190_31,
],
vec![ |
-0.150_708_17,
0.183_886_8,
-0.078_481_37,
0.087_658_904,
0.048_013_024,
0.170_886_93,
-0.114_284_694,
0.142_811_27,
-0.177_535_88,
-0.140_055_18,
],
vec![
0.028_543_837,
0.518_874_6,
0.242_091_75,
-0.347_047_03,
0.124_305_62,
-0.714_907_77,
-0.905_192_4,
0.157_255_22,
-0.434_522_57,
0.489_530_83,
],
vec![
0.217_295_18,
0.318_683_62,
-0.133_674_95,
-0.190_113_72,
-0.045_825_38,
-0.325_925_32,
-0.011_337_722,
0.141_903_42,
-0.049_026_8,
0.293_223_83,
],
vec![
0.123_400_32,
-0.106_249_37,
-0.084_128_685,
0.015_276_704,
0.481_030_76,
-0.324_463_07,
-0.327_308_92,
-0.216_746_37,
0.306_427_78,
-0.215_458_57,
],
vec![
-0.394_248_04,
0.267_972_32,
-0.323_327_48,
0.007_495_794,
0.274_354_7,
0.036_519_47,
0.021_192_394,
0.167_988_94,
0.037_339_807,
-0.287_706_64,
],
vec![
0.476_326_35,
-0.171_908_97,
0.187_209_59,
-0.184_707_57,
0.266_605_26,
-0.379_704_62,
-0.725_388_94,
-0.382_156_3,
0.052_183_09,
-0.189_024_15,
],
vec![
-0 |
.068_175_21,
-0.936_696,
-0.284_851_34,
-0.312_424_24,
0.416_920_48,
-0.375_246_1,
0.166_914_12,
-0.062_018_942,
0.123_319_04,
0.251_326_02,
],
vec![
-0.092_383_966,
-0.046_410_43,
-0.046_993_304,
-0.388_989_8,
0.106_352_895,
0.124_601_215,
0.077_070_52,
-0.494_940_2,
0.246_576_04,
-0.217_108_47,
],
vec![
0.096_871_64,
0.016_262_09,
0.141_645_5,
0.007_451_025_3,
0.072_534_49,
0.056_562_357,
0.168_611_02,
-0.162_456_27,
-0.328_261_7,
-0.372_881_1,
],
vec![
0.243_483_26,
1.041_714_3,
0.791_361_9,
0.188_247_03,
-0.280_531_8,
-1.232_775,
-0.546_552_8,
-0.402_143_33,
-0.092_386_58,
-0.397_024_24,
],
vec![
0.179_208_04,
-0.010_297_535,
-0.525_091_9,
0.028_228_113,
-0.497_619_2,
0.147_705_4,
0.225_470_04,
0.150_027_7,
-0.438_805_9,
-0.228_523_7,
],
vec![
-0.409_310_8,
0.074_870_44,
1.139_456_7,
-0.908_665_6,
0.320_797_95,
-0.477_966_25,
-0.522_859_04,
-0.480_945_1,
0.096_658_655,
-0.717_741_85,
],
vec![
0.134_947_06,
-1.1 |
64_856_6,
0.246_233_84,
-0.609_766_54,
-0.025_210_831,
0.393_831_34,
0.685_161_7,
-0.135_826_19,
-0.096_989_535,
-1.079_150_1,
],
vec![
-0.049_614_098,
-0.048_862_495,
-0.094_735_25,
-0.314_993_68,
0.411_675_1,
-0.036_843_784,
-0.471_937_2,
-0.006_239_565,
-0.048_200_63,
-0.049_639_5,
],
vec![
-0.453_031_18,
1.981_460_9,
-0.534_942_5,
1.134_923_5,
-1.180_825,
-0.436_842_23,
-0.440_320_67,
-0.145_491_84,
-1.055_054_4,
-1.082_154_6,
],
vec![
0.034_054_637,
0.987_097_86,
-0.180_340_56,
-0.405_921_8,
0.348_030_4,
-0.096_445_14,
-0.402_231_4,
0.393_197_66,
-0.034_837_45,
0.040_728_43,
],
vec![
-0.927_784_8,
-0.331_701_96,
0.043_690_126,
0.348_231,
-0.148_379_56,
0.751_553_5,
-0.743_430_8,
-0.633_260_6,
0.104_607_72,
-1.347_444_8,
],
vec![
0.294_677_2,
-0.262_028_93,
0.090_968_82,
-0.851_627_65,
-0.251_495_75,
-0.048_707_057,
0.087_642_65,
0.418_791_4,
-0.020_625_126,
-0.118_388_51,
],
vec![
1.411_125_4,
1.265_975_8,
-0. |
123_655_915,
-0.262_882_35,
-0.469_494_76,
-0.835_732,
0.179_724_92,
-0.081_000_865,
0.255_376_25,
-0.679_300_84,
],
vec![
0.239_018_35,
-0.071_063_62,
-0.550_355_73,
-0.908_293_96,
0.655_489_9,
-0.153_276_28,
-0.025_848_849,
-0.045_441_143,
0.145_653_16,
-0.070_270_97,
],
vec![
-0.897_942,
-0.021_246_374,
0.240_951_28,
0.323_842_38,
-0.729_248_46,
0.805_137_04,
-0.773_077,
-0.093_318_924,
-0.176_274_8,
-0.478_634_36,
],
vec![
0.251_268_6,
-0.085_224_04,
0.239_970_9,
-0.587_481_9,
-0.303_148_87,
-0.313_885_15,
0.300_267_34,
0.437_304_08,
0.087_836_996,
-0.311_975_42,
],
vec![
0.068_631_664,
-1.392_326_2,
-0.099_468_19,
-0.284_783_1,
-0.793_635_5,
-0.480_267_6,
0.925_394_9,
0.271_452_1,
0.133_807_76,
-0.084_477_43,
],
vec![
0.343_252_6,
-0.774_502_7,
-0.502_526_34,
-0.191_540_2,
0.355_186_13,
-0.262_243_15,
0.226_072_86,
-0.442_591_1,
-0.060_238_685,
0.115_893_52,
],
vec![
-0.657_791_6,
-0.128_316_4,
-0.296_290_46, |
0.371_296_1,
0.013_583_544,
0.408_244_16,
-0.542_473_1,
0.314_351_05,
-0.361_760_5,
-0.321_493_12,
],
vec![
-0.003_390_869_6,
-0.328_679_44,
0.424_497_7,
-0.643_421_35,
-0.429_855_6,
-0.255_417_76,
0.101_383_574,
0.742_305_46,
0.214_543_4,
-0.402_187_14,
],
vec![
0.561_219_3,
-1.216_058_3,
-0.270_737_44,
-0.528_367_9,
-0.021_387_836,
-0.619_280_5,
0.504_366,
0.262_697_73,
0.132_761_42,
-0.220_773_73,
],
vec![
0.288_668_9,
0.052_324_463,
2.730_375_9e-6,
-0.561_678_7,
0.170_008_32,
-0.008_383_047,
0.310_118_82,
-0.481_119_4,
-0.014_314_591,
-0.155_750_17,
],
vec![
-0.162_936_06,
-0.757_794_5,
-0.428_959_85,
0.198_041_78,
0.044_626_14,
0.308_839_4,
-0.573_860_47,
0.142_511_28,
-0.463_218_15,
0.459_949_67,
],
vec![
-0.108_998_46,
0.143_664_78,
0.287_137_18,
-0.579_912_4,
-0.686_672_4,
-0.728_061_9,
0.073_713_4,
0.220_625_89,
0.278_465_2,
-1.068_123_3,
],
vec![
0.418_938_52,
-0.238_915_4,
-0.297_480_58,
-0.299_199_64,
- |
0.162_441_09,
0.114_193_65,
0.343_621_76,
-0.145_716_18,
0.115_891_285,
-0.330_101_67,
],
vec![
-0.529_461_15,
0.026_722_493,
-0.540_848_5,
0.035_596_557,
0.177_273_08,
0.194_150_37,
-0.056_900_654,
-0.362_647_8,
0.054_201_64,
0.224_758_28,
],
vec![
-0.039_142_657,
-1.410_656_8,
0.004_147_059_7,
0.122_750_55,
0.601_991_5,
-0.190_151_87,
-0.217_774_1,
-0.161_282_72,
-0.107_949_33,
0.053_716_59,
],
vec![
0.112_159_1,
0.046_277_083,
0.275_921_76,
-0.232_220_19,
-0.514_986_8,
-0.385_808_1,
0.475_410_9,
-0.089_640_72,
0.377_189,
-0.587_000_6,
],
vec![
0.422_242_9,
0.303_726_17,
-0.226_179_72,
-0.223_675_2,
-0.390_193_07,
0.241_592_42,
0.510_321_9,
-0.769_924_46,
-0.186_996_15,
-0.151_660_49,
],
vec![
-0.384_535_1,
0.537_968_6,
-0.524_274_23,
-0.155_019_48,
-0.126_955_48,
0.009_772_035,
-0.516_424_9,
-0.234_940_9,
0.141_023_25,
0.588_008_3,
],
vec![
0.190_469_76,
-0.174_279_08,
-0.032_924_425,
0.020_208_841,
-0.119_237_93, |
0.320_741_65,
0.307_459_98,
-0.463_212_76,
-0.407_833_8,
-0.337_217_8,
],
vec![
0.027_527_304,
0.197_919_01,
0.425_531_77,
-0.485_134_8,
-0.014_653_06,
-0.029_860_709,
-0.220_132_3,
0.131_642_21,
-0.104_282_19,
-0.386_906_83,
],
vec![
-0.430_011_15,
0.425_528_88,
-0.203_507_21,
0.393_514_2,
-0.351_871_97,
-0.370_563_15,
-0.020_044_824,
-0.261_879_5,
-0.169_493_78,
0.200_067_86,
],
vec![
-0.567_681_25,
0.480_915_58,
-0.412_805_86,
0.302_825_93,
0.206_955_4,
-0.122_011_974,
-0.448_144_94,
-0.255_924_28,
-0.053_469_803,
0.390_555_17,
],
vec![
-0.619_630_6,
-0.184_751_24,
0.014_298_667,
-0.047_660_213,
-0.404_390_66,
0.110_633_64,
0.399_682_85,
0.151_165_56,
-0.159_483_1,
-0.407_734_16,
],
vec![
0.208_748_55,
0.558_834_97,
0.362_687_92,
-0.338_483_3,
-0.221_743_66,
0.158_116_89,
-0.274_581_67,
0.068_234_116,
-0.376_377_3,
-0.102_255_44,
],
vec![
0.337_487_16,
0.171_616,
-0.152_372_08,
-0.012_385_000_5,
-0.132_557_57,
-0.028_043_98, |
-0.117_279_43,
-0.153_480_23,
0.006_574_648_4,
0.038_567_707,
],
vec![
-0.712_001_6,
-0.511_211,
-0.150_782_73,
0.340_937_82,
0.254_123_18,
-0.259_644_8,
-0.165_634_53,
-0.125_767_35,
0.116_586_65,
0.397_081_2,
],
vec![
-0.124_941_25,
-0.073_137_37,
-0.225_942_08,
0.021_587_688,
-0.310_861_4,
0.265_024,
0.437_512_52,
0.267_344_92,
0.350_228_64,
-0.933_803_86,
],
vec![
0.338_834_3,
-0.087_845_86,
0.272_357_1,
-0.358_795_73,
-0.271_767_88,
-0.295_830_1,
-0.059_075_07,
0.070_103_78,
-0.507_834_4,
0.156_935_7,
],
vec![
-0.171_727_24,
-0.071_319_28,
-0.174_659_65,
-0.190_311_45,
-0.024_922_764,
-0.155_949_18,
0.055_906_9,
0.300_718_64,
-0.061_120_763,
0.048_273_016,
],
vec![
0.000_543_689_76,
-0.869_367_8,
-0.138_599_25,
0.174_714_95,
-0.186_816_26,
0.022_358_809,
0.002_629_159_7,
-0.115_649_6,
0.283_790_8,
0.002_904_132_5,
],
vec![
-0.068_747_63,
0.092_202_19,
0.011_669_183,
-0.379_747_6,
0.117_012_89,
0.107_468_17,
- |
0.269_050_3,
-0.006_621_833_4,
0.417_878_3,
-0.313_864_7,
],
vec![
-0.112_997_69,
-0.889_295_4,
-0.023_633_067,
-0.089_614_69,
-0.415_933_13,
-0.074_443_22,
0.258_668_63,
0.419_528_16,
-0.490_358_4,
0.197_501_69,
],
vec![
0.019_912_645,
-0.075_473_6,
-0.420_859_46,
-0.192_252_4,
0.229_218_27,
-0.212_090_2,
0.296_866_33,
0.250_561_54,
-0.184_706_94,
0.165_873_05,
],
vec![
0.230_182_22,
-0.870_116_8,
0.038_269_054,
-0.076_351_45,
0.106_413_856,
-0.440_263_87,
0.128_705_7,
0.447_829_48,
0.203_339_47,
-0.447_020_9,
],
vec![
-0.457_046_75,
-0.235_179_57,
0.229_851_17,
-0.228_986_76,
0.471_583_55,
0.118_459_63,
-0.331_542_28,
-0.029_790_87,
0.048_763_033,
-0.408_412_78,
],
vec![
-0.091_034_68,
0.269_622_06,
-0.811_667_6,
0.296_985_98,
0.857_716_3,
-0.322_717_55,
-0.288_414_87,
0.545_152_7,
-0.844_064_9,
0.156_081_7,
],
vec![
-0.044_334_59,
-0.443_265_35,
-0.400_787_65,
0.110_924_87,
0.339_526_06,
-0.231_262_07,
-0.021_097_727, |
0.399_813_53,
-0.274_332_88,
-0.021_325_925,
],
vec![
0.025_087_234,
0.216_655_64,
0.621_734_44,
-0.760_260_46,
-0.129_668_74,
-0.154_173_79,
0.086_462_654,
-0.375_934_66,
-0.049_108_52,
-0.459_173_02,
],
vec![
-0.095_576_91,
-0.020_821_411,
0.080_915_31,
0.013_726_328_5,
-0.059_133_276,
0.063_827_924,
0.112_209_514,
0.007_046_244_6,
-0.146_494_31,
-0.216_906_01,
],
vec![
0.049_646_854,
0.052_594_967,
0.154_725_54,
-1.005_775_5,
0.319_017_6,
-1.194_001_3,
-0.009_135_441,
0.154_628_23,
-0.284_685_82,
0.506_814_8,
],
vec![
0.152_965_72,
-0.356_905_73,
-0.571_670_65,
0.213_715_2,
-0.072_330_84,
0.214_608_12,
0.078_163_56,
0.217_828_07,
-0.173_689_4,
-0.658_648_5,
],
vec![
-0.376_370_76,
-0.150_108_67,
1.302_906_6,
-0.957_640_2,
-0.188_971_88,
-0.377_166_48,
-0.026_720_16,
-0.298_091_2,
-0.841_070_23,
-0.638_804_4,
],
vec![
0.240_924_88,
0.182_269_63,
0.259_873_6,
-0.018_908_517,
0.249_969_38,
0.004_253_394_4,
0.937_601_6,
-0.4 |
70_375_4,
-0.213_874_68,
-1.540_429_6,
],
vec![
0.308_340_9,
-0.562_844,
-0.056_334_414,
-0.376_736_97,
0.149_921_98,
-0.111_814_16,
0.267_282_43,
0.267_317,
0.036_327_82,
-0.108_395_79,
],
vec![
-0.230_489_94,
0.410_497_9,
-0.547_524_63,
0.039_614_655,
-0.988_154_4,
0.321_934_58,
-0.602_366_27,
1.047_812_8,
-1.289_899_1,
-1.083_098,
],
vec![
0.123_964_37,
-0.602_205_9,
0.236_914_6,
-0.170_817_54,
0.318_853_38,
-0.315_294_36,
0.268_049_06,
-0.053_268_034,
0.330_402_97,
-0.339_753_27,
],
vec![
-1.076_121_9,
0.164_622_11,
-0.085_991_43,
0.311_612_9,
0.092_236_77,
0.700_294_7,
-0.707_306_2,
0.388_372_15,
-0.459_460_05,
-0.878_541_9,
],
vec![
0.054_824_94,
-0.208_323_96,
0.255_419_28,
-0.643_839_1,
-0.036_447_406,
0.071_171_485,
0.106_985_23,
0.008_280_316,
0.163_153_02,
-0.149_317_26,
],
vec![
0.509_663_3,
-0.604_420_36,
0.096_587_76,
0.317_167_55,
-0.619_287_67,
-0.598_932_6,
0.624_861_54,
-0.523_107_9,
-0.194_404_69 |
,
0.189_819_41,
],
vec![
0.118_258_34,
0.198_966_8,
0.067_972_64,
-0.302_075_48,
0.396_576_85,
-0.190_334_44,
0.101_252_384,
0.113_482_1,
-0.184_157_92,
-0.121_548_79,
],
vec![
-1.145_558_1,
0.348_045_68,
-0.423_409_37,
0.440_486_2,
0.072_455_76,
0.763_049_54,
-1.268_408_3,
0.250_111_82,
-0.516_340_8,
-0.221_704_6,
],
vec![
-0.262_807_97,
0.276_520_13,
0.106_213_8,
-0.840_162_6,
0.052_412_167,
-0.070_005_19,
0.178_391_87,
0.462_775_5,
0.266_045_6,
-0.749_436_86,
],
vec![
-0.202_437_94,
-2.144_087_3,
-0.066_604_58,
0.145_307_91,
-0.324_613_12,
-0.216_517_84,
0.162_818_63,
0.020_858_074,
0.214_596_1,
-0.151_569_08,
],
vec![
0.260_816_72,
0.047_080_51,
0.223_103_91,
-0.463_461_3,
0.378_594_96,
-0.177_486_64,
-0.119_682_61,
-0.136_843_38,
-0.316_811_6,
-0.301_904_92,
],
vec![
-0.050_370_42,
-0.113_588_64,
-0.635_774_6,
0.286_719_14,
0.100_364_72,
0.363_518_63,
-0.715_137_06,
-0.032_084_25,
-0.612_420_6,
0.366_159_14, |
],
vec![
0.074_133_57,
-0.351_425_38,
0.301_147_34,
-0.591_415_8,
-0.691_740_3,
-0.058_086_09,
-0.023_912_637,
0.035_622_265,
0.253_961_95,
-0.318_256_23,
],
vec![
0.253_794_28,
-1.398_279_4,
0.025_405_943,
-0.100_225_77,
0.264_267_9,
-0.325_903_53,
0.353_900_52,
-0.329_170_82,
0.209_164_6,
-0.406_238_32,
],
vec![
0.052_275_31,
-0.042_211_66,
0.013_816_439,
-0.162_884_19,
0.066_365_06,
0.099_114_14,
-0.112_847_95,
-0.683_042_2,
0.152_652_59,
0.247_954_49,
],
vec![
-0.169_138_82,
0.063_316_345,
-0.076_943_83,
0.330_167_4,
-0.332_760_45,
0.434_988_68,
-0.467_590_93,
-0.163_963_1,
-1.147_984_3,
0.389_239_9,
],
vec![
0.396_338_05,
-0.439_943_28,
0.338_350_42,
-0.212_763_92,
-0.067_297_46,
-0.154_291_87,
-0.127_878_6,
0.205_634_64,
0.341_983_68,
-0.700_542_45,
],
vec![
0.459_232_57,
-0.363_285_15,
0.151_907_15,
-0.270_820_17,
0.009_670_896,
-0.742_408_9,
0.592_906_8,
-0.601_926_5,
0.274_525_64,
-0.695_935_1,
],
v |
ec![
0.355_251_46,
-0.182_071_31,
-0.383_383_57,
0.006_683_327_3,
-0.227_649_12,
-0.277_776_72,
0.543_340_56,
-0.651_580_8,
-0.098_558_836,
0.477_418_54,
],
vec![
0.293_424_58,
-0.607_008_34,
-0.075_632_825,
0.467_701_73,
0.293_549_72,
0.043_996_7,
-0.236_586_54,
-0.435_596_67,
-0.384_609_1,
-0.038_321_488,
],
vec![
0.709_046_07,
-0.007_807_638_5,
0.201_393_7,
-0.629_413_4,
-0.310_686_8,
-0.164_051_59,
0.216_480_8,
0.212_010_01,
0.288_591_68,
-0.234_935_46,
],
vec![
0.248_700_96,
0.463_258_9,
0.213_166_83,
-0.493_549_7,
-0.500_947_36,
-0.233_916_37,
-0.170_004_2,
-0.395_093_44,
0.287_036_15,
-0.080_354_17,
],
vec![
0.061_269_62,
0.258_783_22,
-0.153_121_84,
0.113_186_5,
0.024_635_103,
-0.002_860_725_6,
-0.411_487_85,
-0.585_028_9,
0.044_166_09,
0.228_433_37,
],
vec![
0.132_530_67,
-0.180_983_57,
0.134_121_52,
0.275_544_58,
-0.566_425_5,
0.038_025_07,
0.315_159_92,
-0.802_072_64,
0.077_547_364,
-0.816_164_1,
],
vec![ |
0.253_262_8,
-0.189_946,
0.331_578_8,
-0.404_263_38,
-0.151_000_84,
0.073_550_07,
0.053_775_515,
-0.105_317_04,
0.135_138_12,
0.010_357_873,
],
vec![
-0.262_911_5,
0.242_837_41,
0.207_556_83,
-0.334_707_74,
0.097_789_675,
-0.122_015_78,
-0.137_531_04,
-0.221_596_08,
0.078_258_86,
0.196_424_14,
],
vec![
-0.473_952_86,
0.088_429_66,
0.038_478_95,
0.179_662_59,
0.068_714_57,
-0.325_091_87,
-0.105_515_07,
-0.208_877_01,
-0.020_721_51,
0.331_142_9,
],
vec![
-0.213_202_6,
0.111_628_61,
0.141_606_03,
-0.075_352_96,
-0.104_872_68,
0.249_525_04,
0.052_972_06,
-0.699_384_57,
0.108_099_86,
-0.880_204_74,
],
vec![
-0.012_819_135,
-0.188_733_34,
0.122_128_38,
-0.165_244_4,
-0.388_994_16,
0.040_872_46,
-0.008_985_156,
-0.082_336_16,
-0.231_696_62,
0.065_530_87,
],
vec![
-0.180_819_06,
0.083_178_22,
0.006_874_827,
-0.014_614_635,
-0.196_168_27,
-0.009_432_043,
0.327_855_74,
-0.241_962_02,
0.248_983_44,
0.071_856_335,
],
vec![
0.193_247_78, |
-0.291_666_98,
0.176_878_88,
0.231_443_12,
-0.066_874_83,
-0.252_131_64,
-0.190_652_65,
-0.171_646_98,
0.055_850_454,
0.101_139_7,
],
vec![
0.109_673_426,
0.237_693_83,
0.214_820_58,
-0.169_411_7,
-0.470_538_05,
0.039_358_5,
-0.303_813_25,
-0.118_628_58,
0.180_367_75,
-0.518_705_84,
],
vec![
0.140_499_17,
-0.128_086_85,
-0.378_094_9,
-0.231_051_09,
-0.440_477_82,
0.065_958_3,
0.249_295_49,
-0.348_497_84,
-0.145_569_32,
0.148_800_55,
],
vec![
-0.146_809_82,
-0.013_122_066,
-0.358_625,
-0.225_462_26,
-0.013_221_264,
0.116_620_995,
0.297_690_93,
-0.297_707_77,
0.305_377_8,
-0.088_207_8,
],
vec![
0.288_419_66,
-0.858_799_6,
0.276_324_63,
0.323_865_12,
-0.234_156_06,
-0.215_353_5,
0.236_237,
-0.344_054_8,
-0.057_662_178,
-0.177_651_82,
],
vec![
-0.080_386_27,
0.239_525_81,
0.180_896_65,
-0.285_275_5,
-0.050_495_982,
-0.374_826_3,
-0.278_306_45,
0.112_782_456,
-0.104_671_53,
0.304_652_18,
],
vec![
0.032_451_022,
-1.064_182_ |
9,
-0.152_482_1,
0.093_027_7,
-0.703_669_3,
0.141_962_16,
-0.124_975_15,
-0.171_874_43,
-0.039_661_873,
0.445_249_56,
],
vec![
0.046_288_554,
-0.153_212_88,
-0.320_360_78,
0.280_627_1,
0.090_613_514,
-0.055_976_465,
-0.014_144_503_5,
-0.011_305_857,
-0.018_035_34,
0.011_035_047,
],
vec![
-0.086_249_456,
0.088_105_045,
0.368_546_1,
-0.155_759_65,
0.382_325,
-0.536_992_13,
0.188_152_09,
-0.136_534_48,
-0.361_743_2,
-0.208_948_1,
],
vec![
-0.910_889_7,
0.272_101_04,
0.135_209_81,
-0.349_540_56,
0.126_585_16,
-0.089_697_324,
-0.131_358_15,
0.545_545_9,
-0.205_144_06,
0.253_362_5,
],
vec![
-0.184_916_23,
-0.374_353_44,
-0.891_287_57,
-0.267_861_46,
-0.051_716_913,
-0.515_604_73,
0.253_273_43,
0.429_561_23,
0.509_542_35,
-0.086_592_466,
],
vec![
-0.081_433_564,
0.198_853_52,
-0.033_626_94,
0.073_289_62,
0.193_763_61,
-0.048_186_395,
0.127_340_51,
-0.342_430_5,
-0.154_588_85,
-0.207_824_74,
],
vec![
0.271_959_33,
-0.041_163_232, |
0.437_336_15,
-0.443_907_1,
0.084_922_336,
-0.000_430_476_33,
-0.098_115_13,
-0.343_641_52,
-0.244_402_11,
-0.175_968_54,
],
vec![
-0.190_617_32,
0.230_641_68,
-0.188_811_4,
0.177_157_28,
0.048_706_33,
-0.090_728_484,
0.153_938_11,
0.037_883_04,
-0.355_102_63,
0.116_667_435,
],
vec![
0.402_895_78,
-0.317_966_88,
0.258_100_3,
-0.026_641_415,
-0.338_13,
0.090_999_93,
-0.261_858_8,
0.191_292_58,
-1.057_412,
0.382_777_07,
],
vec![
-0.309_803_16,
-0.035_574_716,
-0.368_250_88,
0.588_673_35,
-0.211_507_75,
0.018_968_955,
0.195_586_1,
-0.303_870_17,
-0.038_711_112,
-0.266_695_6,
],
vec![
0.029_523_142,
-0.132_643_09,
0.603_934_1,
-0.538_810_8,
-0.303_734_24,
-0.611_127_6,
0.207_553_15,
-0.042_333_387,
-0.207_477_15,
-0.986_770_5,
],
vec![
-1.344_093_9,
0.169_231_64,
0.061_742_768,
-0.253_307_07,
-1.425_251_2,
-0.079_412_21,
-0.527_068_44,
0.048_233_565,
0.255_186_32,
-0.558_624_4,
],
vec![
0.361_004_3,
0.166_129_93,
0.344_421_86, |
-0.383_434_74,
-0.492_711_96,
-0.684_580_45,
0.575_839_94,
-0.431_959_2,
0.416_690_38,
-0.076_345_67,
],
vec![
0.300_126_25,
0.690_369_1,
-1.068_929_3,
0.779_963_97,
-1.161_616_9,
-0.320_421_67,
-0.699_888_4,
1.190_991_5,
-1.227_549_9,
-1.279_037_4,
],
vec![
0.094_041_63,
0.374_507_96,
0.558_502_3,
-0.320_508_27,
-0.070_787_884,
-0.315_834_9,
0.404_205_9,
-0.396_628_05,
0.213_888_62,
-0.808_717_4,
],
vec![
-2.094_858_6,
0.892_611_4,
-0.239_027_08,
0.395_698_2,
-0.483_642_64,
0.949_595_7,
-1.154_229_9,
-0.320_442_9,
-0.665_861_96,
-0.597_626_86,
],
vec![
-0.177_534_52,
0.252_983_5,
0.116_914_53,
-0.560_802_1,
0.087_838_47,
-0.090_237_91,
0.053_532_7,
-0.182_902_56,
0.084_240_03,
-0.088_681_21,
],
vec![
-0.538_007,
-0.922_660_95,
0.273_737_94,
0.454_611_18,
-0.405_907_57,
0.346_772_2,
0.337_938_85,
-0.476_058_45,
-2.544_968,
-0.027_647_516,
],
vec![
0.253_208_6,
-0.398_181_68,
0.117_977_105,
-0.118_475_36, |
0.316_321_02,
-0.069_564_12,
-0.162_117_57,
-0.532_771_77,
-0.053_623_687,
-0.046_250_254,
],
vec![
-1.595_345,
0.359_475_85,
-1.132_169,
0.432_727_55,
0.061_862_98,
0.488_555_88,
-1.566_254_6,
-0.057_182_09,
-0.608_943_34,
0.738_639_4,
],
vec![
0.142_813_28,
0.105_241_664,
0.111_599_65,
-0.381_024_63,
0.080_321_72,
-0.142_857_43,
-0.264_929_5,
-0.184_825_7,
0.159_262_42,
-0.245_617_99,
],
vec![
0.655_968,
-1.573_916,
0.432_372_96,
-0.298_297_8,
0.502_385_26,
-0.046_713_434,
-1.533_887,
-0.506_285_85,
-0.146_341_43,
0.242_697_31,
],
vec![
-0.024_878_51,
-0.016_973_916,
-0.008_455_125,
0.239_947_11,
0.124_730_94,
-0.347_739_07,
0.378_534_85,
-0.622_885_4,
-0.110_197_38,
0.128_122_76,
],
vec![
-0.218_680_77,
0.007_973_12,
-0.552_104_8,
0.386_266_47,
-0.118_366_756,
0.403_684_44,
-1.525_699_7,
-0.182_769_82,
-0.480_417_88,
0.622_442_54,
],
vec![
-0.303_771_9,
-0.042_189_557,
0.092_569_9,
-0.574_998_4,
0.298_017_68, |
0.167_696_8,
-0.202_827_51,
-0.142_146,
-0.028_678_67,
0.029_778_654,
],
vec![
0.486_929_45,
-0.567_170_5,
0.417_988_18,
-0.692_029_06,
0.041_134_74,
-0.792_387_4,
0.482_731_85,
-0.081_591_256,
0.193_019_3,
-0.081_880_37,
],
vec![
-0.295_165_42,
0.512_547_5,
0.021_734_945,
0.172_966_55,
0.024_421_481,
-0.130_438_34,
0.182_010_81,
-1.150_716_8,
-0.215_264_6,
0.355_813_6,
],
vec![
-0.072_581_3,
-0.071_467_33,
-0.358_769_15,
0.369_515_5,
-0.309_179_04,
0.183_673_81,
-0.194_713_83,
-0.686_681_75,
-0.520_779_43,
0.190_687_49,
],
vec![
-0.304_834_3,
-0.003_794_444,
-0.041_297_033,
-0.344_114_3,
0.262_485_65,
0.134_406_94,
-0.385_703_86,
0.163_270_4,
-0.027_921_52,
-0.225_358_17,
],
vec![
0.152_046_65,
0.351_264_2,
-0.055_531_275,
-0.621_087_25,
0.161_118_24,
-0.318_924_28,
0.309_624_1,
-0.128_448_31,
0.275_008_44,
-0.246_409_85,
],
vec![
-0.123_393_57,
0.319_738_15,
-0.188_316_5,
-0.068_521_924,
0.008_892_386,
-0.022_754_567, |
-0.047_962_56,
-0.411_065_5,
-0.109_584_08,
0.294_392_1,
],
vec![
0.223_933_8,
-0.908_405_07,
-0.109_861_635,
0.140_895_23,
-0.903_743_2,
0.259_576_98,
-0.231_276_26,
-0.505_061_3,
-0.055_671_822,
-0.141_510_58,
],
vec![
0.027_742_716,
-0.232_495_8,
-0.149_456_53,
-0.133_731_6,
0.017_137_157,
-0.092_800_43,
-0.595_613_24,
0.376_796_96,
-0.213_737_58,
0.137_654_66,
],
vec![
-0.183_406_59,
0.552_172_5,
-0.378_588_3,
-1.007_870_4,
-0.015_809_247,
-0.196_884_62,
0.240_182_82,
0.050_163_735,
0.068_832_89,
0.203_356_61,
],
vec![
0.287_887_1,
0.079_854_11,
-0.084_014_416,
-0.248_976_04,
-0.271_918_54,
-0.002_412_714_8,
0.216_199_38,
-0.569_119_1,
-0.112_770_88,
0.540_719_6,
],
vec![
0.222_881_64,
-0.026_424_6,
0.048_772_09,
-0.146_413_06,
-1.901_193_9,
0.080_811_17,
0.147_072_54,
-0.397_790_46,
0.009_769_149,
-0.488_872_17,
],
vec![
0.138_054_16,
-0.538_929_9,
-0.023_378_126,
-0.111_065_865,
0.276_592_94,
0.011_875_795,
-0.575 |
_297_5,
0.184_301_76,
-0.287_715_35,
0.065_143_935,
],
vec![
-0.552_735_4,
0.170_184_34,
0.113_717_236,
-0.240_356_07,
-0.123_588_435,
-0.058_988_72,
0.245_473_03,
-0.165_541_07,
0.144_339,
0.003_233_700_5,
],
vec![
-0.029_856_594,
-0.252_960_12,
-0.012_215_844,
0.236_105_9,
0.287_288,
-0.408_385_34,
0.423_000_07,
0.157_817_66,
-0.016_059_026,
-0.278_439_52,
],
vec![
-0.218_601_96,
0.037_431_795,
0.068_911_664,
-0.052_260_6,
-0.701_169_43,
0.143_489_64,
-0.029_043_015,
0.117_241_71,
0.118_014_246,
-0.401_062_9,
],
vec![
0.184_052_65,
-0.694_549_14,
-0.227_834_02,
-0.068_688_065,
0.418_908,
-0.010_074_062,
-0.385_147_06,
-0.237_238_53,
-0.169_812_08,
0.140_497_3,
],
vec![
-0.372_383_03,
0.067_174_725,
-0.166_325_8,
-0.080_401_81,
0.290_444_9,
-0.188_639_22,
0.151_756_58,
-0.076_491_4,
-0.021_862_388,
0.104_889_02,
],
vec![
-0.342_421_56,
-0.158_555_61,
0.302_041_56,
0.164_577_9,
-0.032_191_727,
-0.149_581_67,
0.314_295_02, |
-0.236_396_77,
0.062_216_03,
-0.242_104_13,
],
vec![
-0.063_866_61,
0.546_288_43,
0.592_044_6,
-0.048_455_39,
-0.035_933_536,
-0.263_329_68,
-0.395_228_48,
0.051_577_035,
-0.290_856_4,
-0.260_335_45,
],
vec![
-0.204_643_31,
-0.790_377_5,
-0.423_973_1,
0.394_549_4,
0.158_310_1,
0.520_480_2,
-0.384_039_85,
-0.470_651_3,
-0.134_060_95,
0.067_312_695,
],
vec![
-0.243_832_14,
-0.189_681_66,
-0.170_536_52,
0.070_982_26,
0.210_219_16,
-0.105_663_456,
0.070_937_06,
0.024_109_1,
-0.006_263_296,
0.018_320_573,
],
vec![
-0.172_563_31,
0.441_392_72,
0.372_488_38,
0.003_720_252_3,
0.030_075_574,
-0.216_040_12,
0.399_601_82,
-0.655_864_2,
-0.083_364_85,
-0.593_644_4,
],
vec![
0.027_736_979,
0.826_652,
0.822_206_2,
-0.582_489_25,
-0.044_828_773,
-0.581_488_4,
-0.285_438_2,
-0.379_783_5,
-0.286_307_07,
-0.102_620_09,
],
vec![
0.314_700_75,
-1.524_852_9,
-0.763_385_1,
0.722_350_4,
-0.472_515_5,
0.452_854_22,
-0.346_417_13,
-0.517_595_9, |
0.155_832_47,
-0.666_454_5,
],
vec![
-0.354_128_63,
-0.150_265_6,
-0.146_090_08,
-0.002_240_108_3,
0.097_634_58,
-0.092_596_22,
-0.077_518_13,
0.098_131_66,
0.043_073_647,
-0.048_724_25,
],
vec![
0.001_564_541_6,
0.075_788_16,
0.233_583_33,
-0.104_224_06,
0.431_796_37,
-0.373_122_75,
-0.392_585_9,
-0.093_903_34,
-0.185_715_38,
0.058_544_405,
],
vec![
-0.332_656_68,
-0.189_840_85,
1.300_733_4,
-0.580_438_3,
0.223_974_1,
-0.057_784_215,
-0.214_602_26,
-0.656_930_6,
-0.157_153_49,
-0.080_237_42,
],
vec![
-0.374_737_6,
-0.203_834_73,
-0.517_297_3,
0.412_784_2,
-0.970_973_4,
0.525_642_45,
-0.345_279_6,
0.196_275_2,
0.068_473_96,
0.057_966_32,
],
vec![
-0.206_786_44,
-0.166_731_15,
-0.277_479_2,
-0.079_962_75,
0.274_603_55,
-0.076_264_1,
0.065_194_56,
-0.000_790_951_2,
-0.014_463_453,
-0.020_161_366,
],
vec![
-0.224_463_95,
0.101_412_96,
0.638_434_3,
-0.380_875_7,
-0.374_144_4,
0.106_621_68,
-0.224_464_5,
-0.106_371_82,
0. |
118_541_16,
-0.550_626_7,
],
vec![
-0.060_894_59,
-0.489_318_3,
0.193_886_74,
0.104_497_54,
0.006_548_385,
0.149_242_77,
-0.532_321_8,
-0.391_359_06,
-0.056_789_97,
-0.072_821_505,
],
vec![
0.861_896_63,
-0.556_303_86,
-0.339_215_52,
0.181_062_86,
-0.155_863_08,
-0.141_478_06,
-0.199_623_57,
-0.031_703_413,
-0.105_384_51,
-0.291_078_45,
],
vec![
-0.534_867_2,
0.166_174_89,
0.194_590_84,
0.211_057_96,
-0.093_018_58,
0.144_604_07,
-0.602_165_34,
-0.621_696_2,
-0.136_288_7,
0.323_563_2,
],
vec![
-0.417_162_4,
0.509_713_53,
0.629_261_9,
-0.350_670_7,
-0.785_039_4,
-0.556_359_23,
0.179_918_44,
-0.642_441_5,
-0.009_600_11,
0.252_771_4,
],
vec![
0.469_258_84,
-0.855_024_6,
-1.139_494_7,
1.120_604_8,
-1.778_672_9,
-0.088_683_52,
0.548_659_4,
-0.079_584_97,
-1.412_795_8,
-0.117_211_64,
],
vec![
0.313_460_44,
0.023_192_618,
-0.490_629_1,
-0.061_270_583,
-1.280_864_6,
0.074_842_51,
0.243_480_1,
-0.302_316_2,
0.313_274_35,
0.0 |
10_305_379_5,
],
vec![
-0.136_217_18,
0.827_996_9,
0.006_726_798_6,
0.114_384_174,
-0.416_126_25,
0.454_064_16,
-0.044_973_407,
-0.230_108_25,
-1.075_043_3,
-1.211_537_5,
],
vec![
0.254_804_46,
0.112_977_27,
0.636_671_5,
-0.396_636_04,
-1.013_891_3,
0.006_650_318_4,
0.412_682_83,
-1.177_916,
0.152_523_96,
-0.469_226_6,
],
vec![
-0.594_725_97,
-0.624_621_57,
-2.020_615_3,
-0.064_352_76,
0.183_114_38,
0.490_432_3,
-0.265_091_1,
0.644_683,
-1.330_572_6,
0.489_623_07,
],
vec![
-0.011_184_594,
0.156_875_71,
0.236_530_6,
-0.397_889_2,
-0.212_858_21,
0.044_737_875,
-0.590_274_63,
-0.066_678_21,
-0.027_576_448,
-0.136_117_09,
],
vec![
-0.233_180_85,
-1.124_434_8,
1.129_748_3,
-0.175_548_2,
-0.861_948_2,
-0.498_053_7,
-0.195_488_96,
-2.249_580_1,
-0.512_081_56,
0.198_302_9,
],
vec![
0.278_029_53,
0.142_057_5,
0.483_636_14,
-0.578_241_65,
-0.051_348_41,
-0.099_346_526,
0.280_694_54,
-0.555_599_03,
0.172_815_83,
-0.128_702_34,
], |
vec![
-1.064_693_6,
-0.205_767_29,
-1.183_542_7,
0.752_033_2,
-1.288_635_6,
0.470_424_12,
-2.355_776,
-0.134_253_84,
-0.579_577_7,
-0.122_758_45,
],
vec![
-0.560_981_3,
0.278_608_56,
0.130_296_14,
-0.442_299_7,
0.532_096_6,
0.267_559_92,
-0.334_101_8,
0.205_616_82,
-0.378_532_62,
-0.133_773_39,
],
vec![
0.549_214_2,
-0.024_388_539,
0.221_822_26,
-0.573_709_13,
0.681_470_1,
0.060_962_49,
-1.178_789_9,
-0.125_538_24,
0.163_888_47,
-0.991_272_03,
],
vec![
0.172_073_77,
0.232_600_36,
0.378_192_66,
-0.214_604_97,
-0.105_139_2,
-0.473_140_27,
0.211_957_08,
-0.384_924_02,
0.264_930_34,
-0.299_187_33,
],
vec![
0.043_230_236,
-0.610_978_4,
-1.192_533,
0.493_039_85,
-0.891_411_5,
0.410_983_65,
-0.368_046_3,
-0.696_914_6,
-0.306_526_72,
0.249_337_05,
],
vec![
-0.347_867_16,
0.606_439_4,
0.021_995_341,
-0.689_578_65,
-0.003_900_446_7,
0.073_512_33,
-0.281_876_86,
0.166_069_42,
-0.458_259_58,
0.150_449_93,
],
vec![ |
0.249_344_18,
-0.189_730_76,
0.321_47,
0.108_508_72,
0.313_829_78,
-0.866_597_06,
0.130_970_21,
0.236_043_48,
0.072_720_06,
-0.472_748_46,
],
vec![
0.102_692_31,
0.008_673_394,
0.090_486_83,
0.002_421_351,
-0.293_571_5,
-0.083_851_23,
0.272_985_58,
-0.916_719_73,
0.312_562_76,
-0.216_144_65,
],
vec![
0.513_089_36,
-0.760_970_3,
-0.109_253_26,
0.324_638_43,
-1.610_134_4,
0.365_245_13,
0.145_767_99,
-1.275_347_6,
0.061_278_246,
-0.201_693_62,
],
vec![
-0.686_574_7,
-0.011_772_094,
-0.212_761_97,
-0.197_130_05,
0.448_876_14,
0.030_639_209,
-0.433_391_57,
0.089_604_154,
-0.522_763_25,
0.204_889_92,
],
vec![
-0.169_049_92,
0.735_562_7,
-0.368_875_9,
-0.741_709_23,
0.085_351_005,
-0.667_998_8,
0.182_068_91,
0.249_736_53,
0.024_728_911,
0.147_767_14,
],
vec![
0.269_879_73,
-0.061_343_107,
0.189_085_74,
0.057_410_844,
-0.413_874_86,
0.016_049_583,
0.354_817_8,
-0.213_496_49,
-0.016_339_261,
-0.195_600_63,
],
vec![
0.612_416_45, |
-0.652_237,
-0.290_922_4,
0.100_256_38,
-0.763_017_95,
0.134_294_51,
-0.346_889_47,
-1.198_402_4,
0.058_237_143,
-0.291_215_63,
],
vec![
-1.451_199_5,
-0.261_634_74,
-0.290_876_92,
-0.112_408_124,
0.474_783_4,
0.259_347_14,
-1.402_955_7,
0.158_754_13,
-0.393_066_23,
0.170_342_42,
],
vec![
-0.025_236_953,
0.091_647_916,
-0.063_152_87,
-0.691_322_1,
0.113_248_47,
-0.495_438_43,
0.110_764_95,
0.190_719_05,
0.092_877_21,
0.021_988_474,
],
vec![
0.371_424_4,
-0.271_200_48,
0.052_355_736,
0.076_789_506,
-0.086_218_92,
-0.109_440_014,
0.269_172_04,
-0.321_849_58,
0.032_248_903,
-0.261_390_84,
],
vec![
-0.372_055_23,
0.092_231_646,
-0.044_099_193,
0.178_492_75,
-0.317_144_16,
-0.081_630_535,
0.196_395_25,
-0.639_333_2,
0.134_729_04,
-0.032_898_054,
],
vec![
-1.602_207_1,
-0.513_332_7,
-0.603_366_73,
-0.072_191_55,
0.333_521_63,
0.358_542_08,
-1.165_994_6,
0.183_343_26,
-0.066_384_84,
0.211_841_17,
],
vec![
-0.620_023_2,
0.150_212_5 |
9,
-0.350_462_08,
0.064_612_39,
0.208_557_87,
-0.146_651_24,
-0.185_354_29,
0.116_813_12,
0.138_185_2,
-0.143_217_43,
],
vec![
0.143_314_14,
-0.002_241_282,
0.001_118_428_3,
-0.144_721_54,
-0.174_310_04,
-0.140_035_72,
0.442_062_68,
-0.175_482_47,
0.057_133_213,
-0.229_593_01,
],
vec![
-0.168_592_27,
0.249_408_66,
0.407_433_4,
-0.255_238_06,
0.346_984_45,
-0.251_691_88,
0.265_445_8,
0.098_686_33,
-0.421_546_55,
-0.193_290_73,
],
vec![
-0.849_656_5,
-0.866_653_5,
-0.433_286_1,
0.437_252_34,
-0.031_424_575,
0.433_979_57,
0.068_777_926,
0.105_180_53,
0.273_456_1,
-0.106_595_99,
],
vec![
-0.698_027_73,
0.245_267_1,
-0.051_311_884,
-0.057_796_728,
0.265_975_77,
-0.204_770_73,
0.498_724_46,
0.112_041_235,
-0.230_303_29,
-0.035_942_525,
],
vec![
-0.123_949_625,
0.083_198_01,
-0.194_088_24,
0.043_361_794,
-0.143_197_5,
-0.183_903_63,
0.085_556_96,
-0.147_593_33,
0.188_463_91,
-0.067_946_32,
],
vec![
-0.776_119,
0.319_575_22, |
1.368_732_1,
-0.927_126_9,
0.283_870_94,
-0.463_118_76,
-0.611_538_3,
-0.392_389_03,
-0.181_314_23,
0.006_984_539_3,
],
vec![
-0.218_999_68,
-0.384_511_35,
-0.574_313_7,
0.440_100_37,
-0.661_546_3,
0.322_600_1,
-0.286_143_45,
-0.646_361_35,
0.550_332_67,
0.120_832_48,
],
vec![
-0.643_277_35,
0.128_418_03,
0.179_817_42,
0.268_390_8,
0.079_269_51,
0.124_471_985,
0.022_212_533,
-0.147_600_32,
-0.362_296_16,
0.123_608_25,
],
vec![
-0.324_855_24,
0.066_592_135,
0.193_869_59,
0.056_280_106,
0.271_695_05,
-0.099_054_07,
-0.005_476_542_3,
-0.385_905_03,
0.016_091_432,
-0.064_823_22,
],
vec![
-1.457_897_3,
0.392_666_1,
0.960_027_4,
-0.722_546_34,
0.349_659_6,
-0.715_940_2,
-1.805_410_7,
-0.064_484_65,
-0.303_603_83,
0.187_947_15,
],
vec![
-0.428_292_3,
-0.341_486_84,
0.063_829_09,
0.292_772_02,
-1.050_140_6,
0.833_778_8,
0.437_908_62,
-0.802_109_2,
0.054_910_87,
-0.565_300_17,
],
vec![
-0.597_262_8,
0.632_949_4,
-0.113_871_31, |
-0.112_093_67,
-0.103_812_83,
0.209_886_74,
0.210_339_28,
0.207_727_49,
-0.110_167_1,
-0.125_435_67,
],
vec![
-0.292_568_92,
0.100_869_8,
0.438_270_96,
0.036_628_58,
-0.052_523_613,
-0.189_247_85,
0.261_727,
-0.448_417_7,
-0.199_650_7,
-0.101_448_305,
],
vec![
-2.346_928_1,
0.048_702_62,
0.665_279,
-0.397_370_37,
0.319_130_24,
-0.522_832_45,
-0.322_557_06,
-0.543_567_6,
-0.149_809_76,
0.490_307_48,
],
vec![
-0.720_502_44,
-0.760_683_5,
-0.351_185_62,
0.345_522_28,
-0.426_943_75,
0.661_918_8,
0.549_301_8,
-0.639_204_26,
0.143_307_1,
-0.156_587_24,
],
vec![
-0.139_704_15,
-0.131_308_82,
-0.543_173_4,
0.084_604_315,
0.257_846_68,
0.065_236_166,
0.061_439_02,
0.024_350_03,
-0.102_217_88,
-0.025_649_419,
],
vec![
-0.323_183_75,
0.248_389_05,
-0.073_156_14,
-0.352_312_33,
0.437_357_43,
0.139_078_17,
0.033_624_098,
-0.242_638_07,
0.037_701_286,
-0.078_643_18,
],
vec![
-0.542_560_5,
-0.480_773_27,
-0.276_509_3,
-0.396_356_76, |
-0.420_418_44,
-0.085_941_86,
0.309_436_44,
-0.039_505_947,
0.120_491_13,
0.613_434_26,
],
vec![
-0.318_124_32,
-0.063_282_974,
-0.583_637_7,
0.000_650_908_8,
0.251_998_1,
0.487_572_88,
0.294_763_92,
-0.502_559_4,
0.000_329_407_22,
-0.515_829_4,
],
vec![
-0.654_853_94,
0.223_553_2,
-0.074_558_02,
0.135_706_9,
-0.106_060_155,
0.582_190_45,
-0.645_618_5,
-0.815_949_6,
-0.367_248_62,
0.525_076_2,
],
vec![
-0.405_058_68,
0.018_883_748,
0.482_653_83,
-0.405_313_67,
-0.172_249_38,
0.247_358_53,
-0.383_800_8,
-1.180_208_6,
-0.285_524_87,
0.199_742_36,
],
vec![
0.072_124_42,
0.089_611_27,
-0.648_444_3,
-1.149_063_5,
0.871_572_9,
-0.603_575_7,
-0.042_532_567,
-0.787_138_94,
-1.449_770_2,
0.068_524_61,
],
vec![
-0.217_419_65,
-0.849_716_6,
-0.416_967_5,
0.302_742_72,
0.338_067_8,
0.029_692_076,
-1.289_909_8,
0.719_712_14,
-0.298_428_7,
-0.182_162_28,
],
vec![
0.505_294_5,
0.315_604_78,
0.276_869_18,
0.805_631_34,
-0.602_539_1, |
-0.478_464_57,
-0.269_422_98,
-0.784_946_2,
-0.468_819_7,
-1.085_707_2,
],
vec![
-0.618_747_9,
-0.302_277_77,
0.243_801_47,
0.056_581_102,
0.284_645_62,
0.136_963_01,
-1.226_688_1,
0.336_242_38,
-0.480_236_17,
-0.364_608_62,
],
vec![
-2.138_444_4,
-1.581_727_5,
-1.148_180_4,
0.170_667_14,
0.835_107_5,
-0.155_976_41,
0.211_119_86,
-1.193_190_1,
-2.671_164_3,
0.546_684_74,
],
vec![
0.554_155_05,
-0.523_339_7,
0.123_114_61,
-0.190_302_52,
0.401_426_97,
-0.999_298_63,
-1.785_986_7,
-0.028_864_663,
0.075_423_63,
0.134_472_58,
],
vec![
-0.999_845_8,
-1.265_773_9,
0.185_654_45,
0.022_434_83,
-1.064_128_4,
0.605_494_6,
-0.609_147_25,
0.160_562_52,
-0.393_894_2,
-1.073_601_5,
],
vec![
0.589_565_5,
-0.083_658_06,
-0.233_503_48,
0.051_685_516,
-0.211_244_93,
-0.181_601_88,
-1.890_412_8,
-0.066_304_71,
0.160_530_27,
-0.527_078_8,
],
vec![
-1.982_653_1,
-0.369_682_7,
-1.941_524_6,
1.238_792_3,
-0.395_362_47,
0.042_821_903, |
-0.935_377_36,
-0.980_699_8,
-2.589_027_2,
-0.042_432_9,
],
vec![
-1.365_509,
0.537_696_9,
-0.111_231_65,
0.185_135_45,
-0.308_016_84,
-0.549_564_96,
-0.944_409,
0.357_071_43,
-0.624_963_94,
0.194_620_94,
],
vec![
-0.426_039_52,
0.343_039_57,
-0.558_455_35,
-0.165_530_98,
0.514_893_83,
0.328_566_43,
-1.802_753_6,
0.838_755_55,
-0.659_958_24,
0.466_113_2,
],
vec![
0.304_619_76,
-0.197_458_82,
0.049_138_226,
-0.042_370_863,
-1.139_023,
-0.249_606_34,
0.102_472_335,
0.178_228_1,
0.087_729_655,
0.095_381_156,
],
vec![
-0.000_232_155_61,
-1.015_105_8,
-1.281_301,
1.485_128_3,
-1.868_158_5,
0.041_754_503,
0.610_743_17,
-0.685_658_4,
0.142_848_21,
-0.769_454_1,
],
vec![
-1.585_783_4,
0.190_147_06,
-1.414_753_4,
0.538_763_4,
0.484_258_77,
-0.715_786_04,
-0.592_829_2,
0.496_048_06,
-0.829_651,
0.413_377_2,
],
vec![
0.566_932_6,
-0.068_602_435,
0.267_610_67,
0.261_273_3,
0.178_361_62,
-1.203_597_5,
-0.964_891_6,
0. |
010_196_564,
-0.457_586_7,
0.418_362_9,
],
vec![
-0.004_002_593_5,
0.190_587_67,
0.128_683_66,
0.157_295_91,
-0.403_145_2,
-0.076_014_586,
-0.078_582_12,
-0.206_771_54,
0.113_126_98,
0.009_636_784,
],
vec![
0.461_833_72,
-0.031_744_67,
0.328_814_74,
0.616_160_75,
-2.074_591_6,
0.830_497_9,
0.879_883_1,
-1.641_873_4,
0.203_190_55,
-1.673_336_3,
],
vec![
-1.070_805_5,
0.108_797_63,
-0.310_216_9,
0.107_166_18,
0.215_771_24,
-0.338_961_36,
0.306_101_77,
0.367_811_7,
-0.262_294_98,
0.070_901_744,
],
vec![
0.427_335_7,
0.006_227_863,
-0.298_522_56,
-0.016_469_207,
0.535_206_2,
-0.475_492_95,
0.123_835_57,
0.370_917_1,
-0.309_676_53,
-0.045_802_142,
],
vec![
0.086_003_184,
-0.269_960_2,
0.322_433_23,
0.229_070_89,
0.097_541_71,
0.173_907_13,
-0.128_568_14,
-0.531_032_86,
0.125_477_95,
-0.333_153_04,
],
vec![
-0.719_683_6,
0.179_478_72,
-0.887_378,
0.833_087_8,
-0.613_835_93,
0.758_620_7,
1.292_799_4,
-0.829_363_1,
-0.098_ |
033_76,
-0.475_673_14,
],
vec![
-1.122_670_9,
-0.525_466_6,
-0.975_395_2,
0.673_286_26,
0.065_977_84,
-0.214_926_73,
-0.724_994_36,
0.497_947_07,
-0.526_081_3,
0.304_432,
],
vec![
-0.147_321_76,
-0.445_857_97,
-0.303_215_4,
0.430_011_36,
-0.002_681_413,
-0.563_261,
-0.488_504_3,
0.215_144_81,
0.119_377_89,
0.374_618_44,
],
vec![
-0.031_042_775,
0.001_905_601_9,
0.375_899_1,
0.136_461_18,
-0.425_136_74,
0.113_508_43,
-0.165_993_11,
-0.183_742_42,
-0.017_969_275,
-0.226_747_04,
],
vec![
-1.277_52,
0.530_681_13,
-0.608_959_73,
-0.105_554_65,
0.247_067_32,
0.958_920_1,
-1.320_192_1,
-0.159_428_92,
-1.006_717_9,
0.172_789_87,
],
vec![
-1.090_040_2,
-0.868_742_4,
-1.176_520_7,
0.466_612_85,
-0.067_542_53,
0.456_095_34,
-0.771_310_5,
0.420_788_8,
-0.194_251_57,
0.181_740_39,
],
vec![
-0.280_148_2,
0.261_400_22,
-0.844_498_6,
0.090_790_07,
-0.232_529_8,
-0.234_734_86,
-0.303_635_95,
0.205_579_67,
0.050_524_14,
0.188_166_6, |
],
vec![
0.278_557_15,
-0.290_673_97,
0.072_780_56,
-0.044_078_395,
-0.013_295_747,
0.023_838_982,
0.100_808_12,
-0.004_029_975_3,
0.087_681_495,
-0.250_307_1,
],
vec![
-2.931_820_2,
0.643_360_8,
0.109_410_7,
-2.668_557,
0.839_273_6,
-0.091_143_765,
-1.141_751_9,
-0.111_864_276,
-1.236_231_3,
0.594_588,
],
vec![
-1.329_099_8,
-0.404_363_07,
-0.786_461_3,
0.495_720_8,
0.523_596_5,
0.574_914_6,
-0.349_026_74,
0.074_060_86,
-0.291_518_78,
0.065_660_05,
],
vec![
-0.420_664_07,
-0.189_287_14,
-0.090_219_02,
-0.098_952_18,
-0.586_029_95,
-0.280_429_72,
-0.034_379,
0.042_699_914,
0.310_710_94,
0.195_342_48,
],
vec![
0.334_666_97,
-0.363_745_8,
-0.112_467_24,
0.109_010_57,
-0.239_026_34,
0.198_633_1,
0.201_740_61,
-0.145_083_79,
0.266_873_12,
-0.337_569,
],
vec![
-3.973_189_8,
0.039_358_37,
0.481_752_46,
-0.109_007_26,
-0.161_161_2,
-0.505_807_7,
0.562_568,
-0.586_035_4,
0.455_849,
0.309_762_92,
],
vec![ |
-1.230_398_8,
-0.176_831_8,
-0.535_786_6,
0.263_067_04,
0.242_315_7,
0.691_649_7,
-0.489_253_16,
0.264_390_2,
-0.131_665_13,
0.031_665_89,
],
vec![
-0.141_270_65,
-0.159_680_43,
-0.210_704_6,
0.241_845_88,
-0.110_234_6,
0.023_166_748,
0.041_836_73,
-0.242_392_54,
-0.177_036_39,
0.219_812_54,
],
vec![
0.345_195_98,
-0.085_443_124,
-0.370_670_35,
-0.047_733_57,
-0.272_001_9,
0.178_620_87,
0.240_321_86,
-0.216_357_14,
0.171_298_64,
-0.256_854_74,
],
vec![
-0.667_514_15,
0.622_525_93,
0.954_174_04,
-0.909_746_17,
-0.424_728_42,
-1.346_686_4,
-2.209_663_4,
0.350_954_62,
-0.477_263_96,
0.115_298_78,
],
vec![
0.060_172_78,
-0.029_796_772,
-0.057_546_39,
-0.003_541_321_5,
-0.026_794_007,
0.593_517_7,
-0.559_868_8,
0.041_287_13,
-0.123_922_66,
-0.467_462_5,
],
vec![
-0.411_580_92,
0.064_860_13,
-0.498_746_1,
0.045_083_48,
-0.922_313_45,
0.362_882_3,
0.297_462_37,
0.046_287_77,
0.075_106_24,
0.453_751_1,
],
vec![
0.100_418_225, |
0.225_428_66,
-0.455_045_07,
0.093_468_67,
0.071_465_28,
-0.029_081_427,
0.174_563_81,
-0.214_674_04,
0.116_524_21,
-0.203_626_14,
],
vec![
-1.225_284,
0.685_221_2,
-0.462_594_12,
-0.456_986_4,
-0.884_543_8,
-0.459_243_54,
-0.738_546,
0.063_575_98,
0.103_217_766,
0.969_997_4,
],
vec![
-0.639_592_35,
0.264_141_44,
0.111_988_79,
-0.000_706_114_8,
0.445_127_3,
0.142_151_58,
-0.451_865_67,
-0.048_067_592,
-0.009_025_919,
-0.649_651_3,
],
vec![
-0.619_525_8,
-0.363_677_14,
-0.403_265_83,
-0.067_008_51,
0.190_474_76,
0.069_310_8,
-0.245_115_25,
-0.092_971_34,
-0.374_226_12,
0.427_289_2,
],
vec![
-0.509_418_8,
-0.371_609_36,
-0.328_480_66,
-0.018_435_072,
0.365_649_88,
0.175_797_33,
-0.477_345_17,
-0.215_904_94,
0.033_447_467,
-0.252_660_96,
],
vec![
-2.052_151_7,
-1.064_796_9,
0.051_642_984,
-0.304_278_58,
0.236_843_05,
0.399_494_26,
-0.907_562_14,
0.199_219_11,
-1.396_473_3,
0.661_582_3,
],
vec![
0.880_664_6,
-0.540_139_73, |
0.181_769_37,
-0.051_451_266,
0.240_898_71,
-0.586_332_5,
0.075_078_525,
-0.629_870_06,
0.415_950_15,
-1.175_883_3,
],
vec![
-0.346_670_18,
-1.826_483_8,
-0.156_105_98,
-0.106_954_85,
0.030_861_156,
0.661_358_24,
-1.081_977_8,
-0.420_936_08,
0.022_964_55,
0.151_142_18,
],
vec![
-0.514_707_57,
-0.862_410_37,
-0.573_349_2,
-0.158_140_11,
-0.196_890_74,
0.588_682_23,
-1.308_61,
-1.008_766,
0.346_195_6,
0.537_148_7,
],
];
let b: Vec<f32> = vec![
-0.058_054_72,
0.477_797_06,
0.450_016_6,
-0.400_980_47,
-0.805_899_5,
1.038_068_2,
-0.427_971_72,
0.401_235_6,
-0.670_984_9,
-0.061_168_972,
];
Params {
kernels,
weights: w,
biases: b,
}
}
} |
use ezkl::circuit::region::RegionCtx;
use ezkl::circuit::{
ops::lookup::LookupOp, ops::poly::PolyOp, BaseConfig as PolyConfig, CheckMode,
};
use ezkl::fieldutils::i32_to_felt;
use ezkl::tensor::*;
use halo2_proofs::dev::MockProver;
use halo2_proofs::{
circuit::{Layouter, SimpleFloorPlanner, Value},
plonk::{Circuit, Column, ConstraintSystem, Error, Instance},
};
use halo2curves::bn256::Fr as F;
use std::marker::PhantomData;
const K: usize = 15; |
struct MyConfig {
layer_config: PolyConfig<F>,
public_output: Column<Instance>,
}
struct MyCircuit<
const LEN: usize,
const LOOKUP_MIN: i128,
const LOOKUP_MAX: i128,
> {
input: ValTensor<F>,
l0_params: [Tensor<F>; 2],
l2_params: [Tensor<F>; 2],
_marker: PhantomData<F>,
}
impl<const LEN: usize, const LOOKUP_MIN: i128, const LOOKUP_MAX: i128> Circuit<F>
for MyCircuit<LEN, LOOKUP_MIN, LOOKUP_MAX>
{
type Config = MyConfig;
type FloorPlanner = SimpleFloorPlanner;
type Params = PhantomData<F>;
fn without_witnesses(&self) -> Self {
self.clone()
}
fn configure(cs: &mut ConstraintSystem<F>) -> Self::Config {
let input = VarTensor::new_advice(cs, K, 1, LEN);
let params = VarTensor::new_advice(cs, K, 1, LEN * LEN);
let output = VarTensor::new_advice(cs, K, 1, LEN);
let mut layer_config = PolyConfig::<F>::configure(
cs,
&[input.clone(), params.clone()],
&output,
CheckMode::SAFE,
);
layer_config
.configure_lookup(
cs,
&input,
&output,
¶ms,
(LOOKUP_MIN, LOOKUP_MAX),
K,
&LookupOp::ReLU,
)
.unwrap();
layer_config
.configure_lookup(
cs,
&input,
&output,
¶ms,
(LOOKUP_MIN, LOOKUP_MAX),
K,
&LookupOp::Div {
denom: ezkl::circuit::utils::F32::from(128.),
},
)
.unwrap();
let public_output: Column<Instance> = cs.instance_column();
cs.enable_equality(public_output);
MyConfig {
layer_config,
public_output,
}
}
fn synthesize(
&self,
mut config: Self::Config,
mut layouter: impl Layouter<F>, |
) -> Result<(), Error> {
config.layer_config.layout_tables(&mut layouter).unwrap();
let x = layouter
.assign_region(
|| "mlp_4d",
|region| {
let mut region = RegionCtx::new(region, 0, 1);
let x = config
.layer_config
.layout(
&mut region,
&[
self.l0_params[0].clone().try_into().unwrap(),
self.input.clone(),
],
Box::new(PolyOp::Einsum {
equation: "ab,bc->ac".to_string(),
}),
)
.unwrap()
.unwrap();
println!("1");
println!("offset: {}", region.row());
println!("x shape: {:?}", x.dims());
let x = config
.layer_config
.layout(
&mut region,
&[x, self.l0_params[1].clone().try_into().unwrap()],
Box::new(PolyOp::Add),
)
.unwrap()
.unwrap();
println!("2");
println!("offset: {}", region.row());
println!("x shape: {:?}", x.dims());
let mut x = config
.layer_config
.layout(&mut region, &[x], Box::new(LookupOp::ReLU))
.unwrap()
.unwrap();
println!("3");
println!("offset: {}", region.row());
println!("x shape: {:?}", x.dims());
x.reshape(&[x.dims()[0], 1]).unwrap();
let x = config
.layer_config |
.layout(
&mut region,
&[self.l2_params[0].clone().try_into().unwrap(), x],
Box::new(PolyOp::Einsum {
equation: "ab,bc->ac".to_string(),
}),
)
.unwrap()
.unwrap();
println!("4");
println!("offset: {}", region.row());
println!("x shape: {:?}", x.dims());
let x = config
.layer_config
.layout(
&mut region,
&[x, self.l2_params[1].clone().try_into().unwrap()],
Box::new(PolyOp::Add),
)
.unwrap()
.unwrap();
println!("5");
println!("offset: {}", region.row());
println!("x shape: {:?}", x.dims());
let x = config
.layer_config
.layout(&mut region, &[x], Box::new(LookupOp::ReLU))
.unwrap();
println!("6");
println!("offset: {}", region.row());
Ok(config
.layer_config
.layout(
&mut region,
&[x.unwrap()],
Box::new(LookupOp::Div {
denom: ezkl::circuit::utils::F32::from(128.),
}),
)
.unwrap())
},
)
.unwrap();
match x.unwrap() {
ValTensor::Value {
inner: v, dims: _, ..
} => v
.enum_map(|i, x| match x {
ValType::PrevAssigned(v) => {
la |
youter.constrain_instance(v.cell(), config.public_output, i)
}
_ => panic!(),
})
.unwrap(),
_ => panic!("Should be assigned"),
};
Ok(())
}
}
pub |
fn runmlp() {
env_logger::init();
let mut l0_kernel: Tensor<F> = Tensor::<i32>::new(
Some(&[10, 0, 0, -1, 0, 10, 1, 0, 0, 1, 10, 0, 1, 0, 0, 10]),
&[4, 4],
)
.unwrap()
.map(i32_to_felt);
l0_kernel.set_visibility(&ezkl::graph::Visibility::Private);
let mut l0_bias: Tensor<F> = Tensor::<i32>::new(Some(&[0, 0, 0, 1]), &[4, 1])
.unwrap()
.map(i32_to_felt);
l0_bias.set_visibility(&ezkl::graph::Visibility::Private);
let mut l2_kernel: Tensor<F> = Tensor::<i32>::new(
Some(&[0, 3, 10, -1, 0, 10, 1, 0, 0, 1, 0, 12, 1, -2, 32, 0]),
&[4, 4],
)
.unwrap()
.map(i32_to_felt);
l2_kernel.set_visibility(&ezkl::graph::Visibility::Private);
let input: Tensor<Value<F>> = Tensor::<i32>::new(Some(&[-30, -21, 11, 40]), &[4, 1])
.unwrap()
.into();
let mut l2_bias: Tensor<F> = Tensor::<i32>::new(Some(&[0, 0, 0, 1]), &[4, 1])
.unwrap()
.map(i32_to_felt);
l2_bias.set_visibility(&ezkl::graph::Visibility::Private);
let circuit = MyCircuit::<4, -8192, 8192> {
input: input.into(),
l0_params: [l0_kernel, l0_bias],
l2_params: [l2_kernel, l2_bias],
_marker: PhantomData,
};
let public_input: Vec<i32> = unsafe {
vec![
(531f32 / 128f32).round().to_int_unchecked::<i32>(),
(103f32 / 128f32).round().to_int_unchecked::<i32>(),
(4469f32 / 128f32).round().to_int_unchecked::<i32>(),
(2849f32 / 128f32).to_int_unchecked::<i32>(),
]
};
println!("public input {:?}", public_input);
let prover = MockProver::run(
K as u32,
&circuit,
vec![public_input.iter().map(|x| i32_to_felt::<F>(*x)).collect()],
)
.unwrap();
prover.assert_satisfied();
}
pub |
fn main() {
runmlp()
} |
{
"cells": [
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"
"\n",
"Here's an example leveraging EZKL whereby the inputs to the model are read and attested to from an on-chain source.\n",
"\n",
"In this setup:\n",
"- the inputs and outputs are publicly known to the prover and verifier\n",
"- the on chain inputs will be fetched and then fed directly into the circuit\n",
"- the quantization of the on-chain inputs happens within the evm and is replicated at proving time \n"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"First we |
import the necessary dependencies and set up logging to be as informative as possible. "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"
"try:\n",
"
" |
import google.colab\n",
" |
import subprocess\n",
" |
import sys\n",
" subprocess.check_call([sys.executable, \"-m\", \"pip\", \"install\", \"ezkl\"])\n",
" subprocess.check_call([sys.executable, \"-m\", \"pip\", \"install\", \"onnx\"])\n",
"\n",
"
"except:\n",
" pass\n",
"\n",
"\n",
"from torch |
import nn\n",
" |
import ezkl\n",
" |
import os\n",
" |
import json\n",
" |
import logging\n",
"\n",
"
"FORMAT = '%(levelname)s %(name)s %(asctime)-15s %(filename)s:%(lineno)d %(message)s'\n",
"logging.basicConfig(format=FORMAT)\n",
"logging.getLogger().setLevel(logging.DEBUG)\n"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we define our model. It is a very simple PyTorch model that has just one layer, an average pooling 2D layer. "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
" |
import torch\n",
"
"\n",
" |
class MyModel(nn.Module):\n",
" def __init__(self):\n",
" super(MyModel, self).__init__()\n",
" self.layer = nn.AvgPool2d(2, 1, (1, 1))\n",
"\n",
" def forward(self, x):\n",
" return self.layer(x)[0]\n",
"\n",
"\n",
"circuit = MyModel()\n",
"\n",
"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"We omit training for purposes of this demonstration. We've marked where training would happen in the cell above. \n",
"Now we export the model to onnx and create a corresponding (randomly generated) input. This input data will eventually be stored on chain and read from according to the call_data field in the graph input.\n",
"\n",
"You can replace the random `x` with real data if you so wish. "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"x = 0.1*torch.rand(1,*[3, 2, 2], requires_grad=True)\n",
"\n",
"
"circuit.eval()\n",
"\n",
"
"torch.onnx.export(circuit,
" x,
" \"network.onnx\",
" export_params=True,
" opset_version=10,
" do_constant_folding=True,
" input_names = ['input'],
" output_names = ['output'],
" dynamic_axes={'input' : {0 : 'batch_ |
size'},
" 'output' : {0 : 'batch_size'}})\n",
"\n",
"data_array = ((x).detach().numpy()).reshape([-1]).tolist()\n",
"\n",
"data = dict(input_data = [data_array])\n",
"\n",
"
"json.dump(data, open(\"input.json\", 'w' ))\n",
"\n"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"We now define a function that will create a new anvil instance which we will deploy our test contract too. This contract will contain in its storage the data that we will read from and attest to. In production you would not need to set up a local anvil instance. Instead you would replace RPC_URL with the actual RPC endpoint of the chain you are deploying your verifiers too, reading from the data on said chain."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
" |
import subprocess\n",
" |
import time\n",
" |
import threading\n",
"\n",
"
"
"\n",
"RPC_URL = \"http:
"\n",
"
"anvil_process = None\n",
"\n",
"def start_anvil():\n",
" global anvil_process\n",
" if anvil_process is None:\n",
" anvil_process = subprocess.Popen([\"anvil\", \"-p\", \"3030\", \"--code-size-limit=41943040\"])\n",
" if anvil_process.returncode is not None:\n",
" raise Exception(\"failed to start anvil process\")\n",
" time.sleep(3)\n",
"\n",
"def stop_anvil():\n",
" global anvil_process\n",
" if anvil_process is not None:\n",
" anvil_process.terminate()\n",
" anvil_process = None\n"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"We define our `PyRunArgs` objects which contains the visibility parameters for out model. \n",
"- `input_visibility` defines the visibility of the model inputs\n",
"- `param_visibility` defines the visibility of the model weights and constants and parameters \n",
"- `output_visibility` defines the visibility of the model outputs\n",
"\n",
"Here we create the following setup:\n",
"- `input_visibility`: \"public\"\n",
"- `param_visibility`: \"private\"\n",
"- `output_visibility`: public\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
" |
import ezkl\n",
"\n",
"model_path = os.path.join('network.onnx')\n",
"compiled_model_path = os.path.join('network.compiled')\n",
"pk_path = os.path.join('test.pk')\n",
"vk_path = os.path.join('test.vk')\n",
"settings_path = os.path.join('settings.json')\n",
"srs_path = os.path.join('kzg.srs')\n",
"data_path = os.path.join('input.json')\n",
"\n",
"run_args = ezkl.PyRunArgs()\n",
"run_args.input_visibility = \"public\"\n",
"run_args.param_visibility = \"private\"\n",
"run_args.output_visibility = \"public\"\n",
"run_args.num_inner_cols = 1\n",
"run_args.variables = [(\"batch_size\", 1)]\n",
"\n",
"\n",
"\n"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we generate a settings file. This file basically instantiates a bunch of parameters that determine their circuit shape, size etc... Because of the way we represent nonlinearities in the circuit (using Halo2's [lookup tables](https:
"\n",
"You can pass a dataset for calibration that will be representative of real inputs you might find if and when you deploy the prover. Here we create a dummy calibration dataset for demonstration purposes. "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"!RUST_LOG=trace\n",
"
"res = ezkl.gen_settings(model_path, settings_path, py_run_args=run_args)\n",
"assert res == True"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadat |
a": {},
"outputs": [],
"source": [
"
"cal_data = {\n",
" \"input_data\": [(0.1*torch.rand(2, *[3, 2, 2])).flatten().tolist()],\n",
"}\n",
"\n",
"cal_path = os.path.join('val_data.json')\n",
"
"with open(cal_path, \"w\") as f:\n",
" json.dump(cal_data, f)\n",
"\n",
"res = ezkl.calibrate_settings(cal_path, model_path, settings_path, \"resources\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"res = ezkl.compile_circuit(model_path, compiled_model_path, settings_path)\n",
"assert res == True"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The graph input for on chain data sources is formatted completely differently compared to file based data sources.\n",
"\n",
"- For file data sources, the raw floating point values that eventually get quantized, converted into field elements and stored in `witness.json` to be consumed by the circuit are stored. The output data contains the expected floating point values returned as outputs from running your vanilla pytorch model on the given inputs.\n",
"- For on chain data sources, the input_data field contains all the data necessary to read and format the on chain data into something digestable by EZKL (aka field elements :-D). \n",
"Here is what the schema for an on-chain data source graph input file should look like:\n",
" \n",
"```json\n",
"{\n",
" \"input_data\": {\n",
" \"rpc\": \"http:
" \"calls\": [\n",
" {\n", |
" \"call_data\": [\n",
" [\n",
" \"71e5ee5f0000000000000000000000000000000000000000000000000000000000000000\",
" 7
" ],\n",
" [\n",
" \"71e5ee5f0000000000000000000000000000000000000000000000000000000000000001\",\n",
" 5\n",
" ],\n",
" [\n",
" \"71e5ee5f0000000000000000000000000000000000000000000000000000000000000002\",\n",
" 5\n",
" ]\n",
" ],\n",
" \"address\": \"5fbdb2315678afecb367f032d93f642f64180aa3\"
" }\n",
" ]\n",
" }\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"ezkl.setup_test_evm_witness(\n",
" data_path,\n",
" compiled_model_path,\n",
"
" data_path,\n",
" input_source=ezkl.PyTestDataSource.OnChain,\n",
" output_source=ezkl.PyTestDataSource.File,\n",
" rpc_url=RPC_URL)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"As we use Halo2 with KZG-commitments we need an SRS string from (preferably) a multi-party trusted setup ceremony. For an overview of the procedures for such a ceremony check out [this page](https:
"\n",
"These SRS were generated with [this](https:
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [], |
"source": [
"res = ezkl.get_srs( settings_path)\n"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"We now need to generate the circuit witness. These are the model outputs (and any hashes) that are generated when feeding the previously generated `input.json` through the circuit / model. "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"!export RUST_BACKTRACE=1\n",
"\n",
"witness_path = \"witness.json\"\n",
"\n",
"res = ezkl.gen_witness(data_path, compiled_model_path, witness_path)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Here we setup verifying and proving keys for the circuit. As the name suggests the proving key is needed for ... proving and the verifying key is needed for ... verifying. "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"
"
"
"
"res = ezkl.setup(\n",
" compiled_model_path,\n",
" vk_path,\n",
" pk_path,\n",
" \n",
" )\n",
"\n",
"assert res == True\n",
"assert os.path.isfile(vk_path)\n",
"assert os.path.isfile(pk_path)\n",
"assert os.path.isfile(settings_path)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source |
": [
"Now we generate a full proof. "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"
"\n",
"proof_path = os.path.join('test.pf')\n",
"\n",
"res = ezkl.prove(\n",
" witness_path,\n",
" compiled_model_path,\n",
" pk_path,\n",
" proof_path,\n",
" \n",
" \"single\",\n",
" )\n",
"\n",
"print(res)\n",
"assert os.path.isfile(proof_path)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"And verify it as a sanity check. "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"
"\n",
"res = ezkl.verify(\n",
" proof_path,\n",
" settings_path,\n",
" vk_path,\n",
" \n",
" )\n",
"\n",
"assert res == True\n",
"print(\"verified\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can now create and then deploy a vanilla evm verifier."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"abi_path = 'test.abi'\n",
"sol_code_path = 'test.sol'\n",
"\n",
"res = ezkl |
.create_evm_verifier(\n",
" vk_path,\n",
" \n",
" settings_path,\n",
" sol_code_path,\n",
" abi_path,\n",
" )\n",
"assert res == True"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
" |
import json\n",
"\n",
"addr_path_verifier = \"addr_verifier.txt\"\n",
"\n",
"res = ezkl.deploy_evm(\n",
" addr_path_verifier,\n",
" sol_code_path,\n",
" 'http:
")\n",
"\n",
"assert res == True"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"With the vanilla verifier deployed, we can now create the data attestation contract, which will read in the instances from the calldata to the verifier, attest to them, call the verifier and then return the result. "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"\n",
"abi_path = 'test.abi'\n",
"sol_code_path = 'test.sol'\n",
"input_path = 'input.json'\n",
"\n",
"res = ezkl.create_evm_data_attestation(\n",
" input_path,\n",
" settings_path,\n",
" sol_code_path,\n",
" abi_path,\n",
" )"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we can deploy the data attest verifier contract. For security reasons, this binding will only deploy to a local anvil instance, using accounts generated by anvil. \n",
"So should only be used for testing purposes."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"addr_path_da = \"addr_da.txt\"\n",
"\n", |
"res = ezkl.deploy_da_evm(\n",
" addr_path_da,\n",
" input_path,\n",
" settings_path,\n",
" sol_code_path,\n",
" RPC_URL,\n",
" )\n"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Call the view only verify method on the contract to verify the proof. Since it is a view function this is safe to use in production since you don't have to pass your private key."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"
"addr_verifier = None\n",
"with open(addr_path_verifier, 'r') as f:\n",
" addr = f.read()\n",
"
"addr_da = None\n",
"with open(addr_path_da, 'r') as f:\n",
" addr_da = f.read()\n",
"\n",
"res = ezkl.verify_evm(\n",
" addr,\n",
" proof_path,\n",
" RPC_URL,\n",
" addr_da,\n",
")"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "ezkl",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.15"
},
"orig_nbformat": 4
},
"nbformat": 4,
"nbformat_minor": 2
} |
{
"cells": [
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"
"\n",
"Here's an example leveraging EZKL whereby the hashes of the outputs to the model are read and attested to from an on-chain source.\n",
"\n",
"In this setup:\n",
"- the hashes of outputs are publicly known to the prover and verifier\n"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"First we |
import the necessary dependencies and set up logging to be as informative as possible. "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"
"try:\n",
"
" |
import google.colab\n",
" |
import subprocess\n",
" |
import sys\n",
" subprocess.check_call([sys.executable, \"-m\", \"pip\", \"install\", \"ezkl\"])\n",
" subprocess.check_call([sys.executable, \"-m\", \"pip\", \"install\", \"onnx\"])\n",
"\n",
"
"except:\n",
" pass\n",
"\n",
"\n",
"from torch |
import nn\n",
" |
import ezkl\n",
" |
import os\n",
" |
import json\n",
" |
import logging\n",
"\n",
"
"
"
"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we define our model. It is a very simple PyTorch model that has just one layer, an average pooling 2D layer. "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
" |
Subsets and Splits
No saved queries yet
Save your SQL queries to embed, download, and access them later. Queries will appear here once saved.