# Publisher, Zhijie Xu,zhijie.xu@pnnl.gov,zhijiexu@hotmail.com,,,,,,,
# Updated, 04/2022,,,,,,,,,
#Name,First order longitudinal velocity structure functions S1LP (normalized by one-dimensional velocity dispersion u) or pairwise velocity ,,,,,,,,,
#Ref. [1] ,https://doi.org/10.48550/arXiv.2202.00910,,,,,Correlation functions 2nd ,,,,
#Ref. [2] Eq. (39) Fig. 18,https://doi.org/10.48550/arXiv.2202.06515,,,,,Density and velocity distributions,,,,
#Ref. [3],https://doi.org/10.48550/arXiv.2202.02991,,,,,Correlation functions 3nd ,,,,
#Ref. [4] Eq. (123),https://doi.org/10.48550/arXiv.2110.05784,,,,,Two-body collapse model,,,,
#Velocity dispersion (km/s) u(z),86.47,118.5,148.61,177.15,199.76,231.29,277.67,303.37,335.42,354.61
r(Mpc/h),z=10,z=5,z=3,z=2,z=1.5,z=1.0,z=0.5,z=0.3,z=0.1,z=0.0
0.001,NaN,NaN,NaN,0.606107813,NaN,1.402496206,NaN,0.508183028,NaN,-0.229812521
0.002,NaN,NaN,NaN,0.944592165,NaN,0.052735071,NaN,0.023160746,NaN,0.024025576
0.003,NaN,NaN,NaN,0.146507496,NaN,-0.071691117,NaN,-0.068407878,NaN,-0.007186771
0.004,NaN,NaN,NaN,0.119636748,NaN,-0.096982111,NaN,-0.088880425,NaN,0.01414395
0.005,NaN,NaN,NaN,0.12673404,NaN,0.028778434,NaN,0.042561947,NaN,0.023381094
0.006,NaN,NaN,NaN,0.501231191,NaN,-0.066229608,NaN,0.009219061,NaN,0.014719325
0.007,NaN,NaN,NaN,-0.049147527,NaN,-0.036335213,NaN,-0.063644841,NaN,-0.014368163
0.008,NaN,NaN,NaN,-0.269471709,NaN,-0.047044869,NaN,0.011534273,NaN,0.000683734
0.009,NaN,NaN,NaN,0.146058912,NaN,0.025400625,NaN,0.011693448,NaN,-0.006800564
0.01,NaN,NaN,NaN,-0.087640813,NaN,-0.035989223,NaN,-0.031874272,NaN,-0.048684512
0.011,NaN,NaN,NaN,0.036445702,NaN,-0.053349994,NaN,-0.021554407,NaN,0.006420955
0.012,NaN,NaN,NaN,-0.088708768,NaN,0.047612711,NaN,-0.002842117,NaN,-0.025130999
0.013,NaN,NaN,NaN,-0.089046808,NaN,-0.012472223,NaN,-0.033071336,NaN,-0.011154185
0.014,NaN,NaN,NaN,-0.088544293,NaN,0.029089755,NaN,0.028464876,NaN,-0.008155709
0.015,NaN,NaN,NaN,-0.041784484,NaN,-0.015566636,NaN,-0.025501876,NaN,0.0048206
0.016,NaN,NaN,NaN,0.019714188,NaN,-0.049719141,NaN,0.024270151,NaN,-0.017776977
0.017,NaN,NaN,NaN,-0.1113883,NaN,0.031654099,NaN,0.001066508,NaN,0.004956762
0.018,NaN,NaN,NaN,0.001769082,NaN,-0.021325921,NaN,-0.002500419,NaN,-0.002929285
0.019,NaN,NaN,NaN,0.044623281,NaN,-0.012120615,NaN,0.016410482,NaN,-0.017273817
0.02,NaN,NaN,NaN,-0.144360494,NaN,-0.058070079,NaN,0.004892403,NaN,-0.006470022
0.021,NaN,NaN,NaN,-0.00500198,NaN,0.016126562,NaN,-0.012343451,NaN,-0.001354236
0.022,NaN,NaN,NaN,-0.028291629,NaN,-0.028020742,NaN,-0.015990439,NaN,-0.005041075
0.023,NaN,NaN,NaN,-0.028806677,NaN,0.013509465,NaN,-0.011703326,NaN,-0.009658295
0.024,NaN,NaN,NaN,-0.034048218,NaN,-0.029976226,NaN,-0.022344886,NaN,-0.009806252
0.025,NaN,NaN,NaN,0.012893318,NaN,-0.00450325,NaN,-0.029169427,NaN,-0.011200451
0.026,NaN,NaN,NaN,-0.05411388,NaN,0.016778193,NaN,-0.002608822,NaN,-0.010766765
0.027,NaN,NaN,NaN,0.006661421,NaN,-7.95E-05,NaN,-0.001571266,NaN,-0.001659649
0.028,NaN,NaN,NaN,-0.1284188,NaN,0.005074204,NaN,-0.014653751,NaN,-0.01272747
0.029,NaN,NaN,NaN,-0.104476599,NaN,-0.016964288,NaN,-0.010790431,NaN,-0.003005281
0.03,NaN,NaN,NaN,-0.010823326,NaN,-0.010170181,NaN,-0.024875683,NaN,-0.003876778
0.031,NaN,NaN,NaN,-0.038422725,NaN,-0.002521254,NaN,-0.020437787,NaN,-0.009710848
0.032,NaN,NaN,NaN,-0.048312594,NaN,0.001104233,NaN,-0.00708119,NaN,-0.013585155
0.033,NaN,NaN,NaN,-0.084239567,NaN,-0.022561814,NaN,-0.014658101,NaN,-0.012064042
0.034,NaN,NaN,NaN,-0.012911655,NaN,-0.023571208,NaN,-0.012097176,NaN,-0.015907587
0.035,NaN,NaN,NaN,-0.113303076,NaN,-0.033793052,NaN,-0.025272389,NaN,-0.008602723
0.036,NaN,NaN,NaN,-0.047566737,NaN,-0.000595775,NaN,-0.005011484,NaN,-0.014200539
0.037,NaN,NaN,NaN,-0.039922509,NaN,-0.044421741,NaN,-0.014067252,NaN,-0.010557148
0.038,NaN,NaN,NaN,-0.035836597,NaN,-0.025097552,NaN,-0.010088163,NaN,-0.013288047
0.039,NaN,NaN,NaN,-0.056912609,NaN,-0.010653258,NaN,-0.020367241,NaN,-0.008783577
0.04,NaN,NaN,NaN,-0.046760576,NaN,-0.010383439,NaN,-0.019060052,NaN,-0.011745262
0.041,NaN,NaN,NaN,-0.034112952,NaN,0.011772635,NaN,-0.015470039,NaN,-0.019549674
0.042,NaN,NaN,NaN,-0.01911425,NaN,-0.017794925,NaN,0.004713437,NaN,-0.00608107
0.043,NaN,NaN,NaN,-0.059721112,NaN,-0.021362794,NaN,-0.021534897,NaN,-0.007153427
0.044,NaN,NaN,NaN,0.007792827,NaN,-0.025817854,NaN,-0.008765179,NaN,-0.00189543
0.045,NaN,NaN,NaN,-0.010597572,NaN,-0.025465839,NaN,-0.016653532,NaN,-0.007836496
0.046,NaN,NaN,NaN,-0.066927617,NaN,-0.035760046,NaN,-0.016997471,NaN,-0.010745757
0.047,NaN,NaN,NaN,-0.048088459,NaN,-0.003429553,NaN,-0.02656467,NaN,-0.004474753
0.048,NaN,NaN,NaN,-0.049402935,NaN,-0.022295732,NaN,-0.019570993,NaN,-0.009703676
0.049,NaN,NaN,NaN,-0.091668888,NaN,-0.025063618,NaN,-0.02527521,NaN,-0.023034406
0.05,NaN,NaN,NaN,-0.064174545,NaN,-0.032887219,NaN,-0.032029462,NaN,-0.015741485
0.051,NaN,NaN,NaN,-0.061434447,NaN,-0.03559028,NaN,-0.027238533,NaN,-0.008599721
0.052,NaN,NaN,NaN,-0.090084879,NaN,-0.03138874,NaN,-0.019671558,NaN,-0.013689314
0.053,NaN,NaN,NaN,-0.063686419,NaN,-0.04351679,NaN,-0.027871611,NaN,-0.01445246
0.054,NaN,NaN,NaN,-0.086693421,NaN,-0.027515386,NaN,-0.023472343,NaN,-0.016327422
0.055,NaN,NaN,NaN,-0.088361807,NaN,-0.022612084,NaN,-0.025151518,NaN,-0.017029993
0.056,NaN,NaN,NaN,-0.088578361,NaN,-0.023609278,NaN,-0.018832164,NaN,-0.020562123
0.057,NaN,NaN,NaN,-0.081762688,NaN,-0.044491549,NaN,-0.013414891,NaN,-0.016885571
0.058,NaN,NaN,NaN,-0.089610553,NaN,-0.031542424,NaN,-0.025855166,NaN,-0.01319413
0.059,NaN,NaN,NaN,-0.064665734,NaN,-0.049356407,NaN,-0.026894048,NaN,-0.017159561
0.06,NaN,NaN,NaN,-0.113822791,NaN,-0.035912594,NaN,-0.031086112,NaN,-0.017519706
0.061,NaN,NaN,NaN,-0.073982591,NaN,-0.026661168,NaN,-0.021882518,NaN,-0.02015261
0.062,NaN,NaN,NaN,-0.108218282,NaN,-0.059551534,NaN,-0.020935542,NaN,-0.019489987
0.063,NaN,NaN,NaN,-0.061122353,NaN,-0.051198966,NaN,-0.026795212,NaN,-0.018983145
0.064,NaN,NaN,NaN,-0.129291932,NaN,-0.043665423,NaN,-0.023608199,NaN,-0.01680929
0.065,NaN,NaN,NaN,-0.099847078,NaN,-0.049463288,NaN,-0.018768836,NaN,-0.018623103
0.066,NaN,NaN,NaN,-0.053849299,NaN,-0.052993476,NaN,-0.02081579,NaN,-0.014095614
0.067,NaN,NaN,NaN,-0.10412181,NaN,-0.04111428,NaN,-0.021808171,NaN,-0.016827394
0.068,NaN,NaN,NaN,-0.097323909,NaN,-0.046841221,NaN,-0.015783833,NaN,-0.018264134
0.069,NaN,NaN,NaN,-0.084646725,NaN,-0.043136231,NaN,-0.020304833,NaN,-0.019676637
0.07,NaN,NaN,NaN,-0.095608556,NaN,-0.047701747,NaN,-0.03802632,NaN,-0.020578579
0.071,NaN,NaN,NaN,-0.131035345,NaN,-0.07135443,NaN,-0.02776495,NaN,-0.019243796
0.072,NaN,NaN,NaN,-0.108683293,NaN,-0.049991429,NaN,-0.025591756,NaN,-0.021065114
0.073,NaN,NaN,NaN,-0.107417462,NaN,-0.050553345,NaN,-0.031368706,NaN,-0.017684119
0.074,NaN,NaN,NaN,-0.114354541,NaN,-0.044940599,NaN,-0.032941249,NaN,-0.019212705
0.075,NaN,NaN,NaN,-0.11041882,NaN,-0.05408919,NaN,-0.030410959,NaN,-0.01449872
0.076,NaN,NaN,NaN,-0.111308982,NaN,-0.043481313,NaN,-0.027290875,NaN,-0.017389625
0.077,NaN,NaN,NaN,-0.111311475,NaN,-0.064290546,NaN,-0.032040207,NaN,-0.017627822
0.078,NaN,NaN,NaN,-0.107925361,NaN,-0.065090091,NaN,-0.034058884,NaN,-0.019119448
0.079,NaN,NaN,NaN,-0.137817562,NaN,-0.035895468,NaN,-0.039935665,NaN,-0.02086202
0.08,NaN,NaN,NaN,-0.101578853,NaN,-0.051094126,NaN,-0.032244262,NaN,-0.015767036
0.081,NaN,NaN,NaN,-0.126021375,NaN,-0.061515717,NaN,-0.032483925,NaN,-0.024778103
0.082,NaN,NaN,NaN,-0.122868141,NaN,-0.055270712,NaN,-0.0315409,NaN,-0.020576054
0.083,NaN,NaN,NaN,-0.10611456,NaN,-0.050295459,NaN,-0.03401825,NaN,-0.023886967
0.084,NaN,NaN,NaN,-0.140160064,NaN,-0.061499411,NaN,-0.026890628,NaN,-0.01622111
0.085,NaN,NaN,NaN,-0.116499645,NaN,-0.06244302,NaN,-0.030240856,NaN,-0.020339956
0.086,NaN,NaN,NaN,-0.147024382,NaN,-0.062568304,NaN,-0.03559282,NaN,-0.024637515
0.087,NaN,NaN,NaN,-0.130625495,NaN,-0.070372202,NaN,-0.033675588,NaN,-0.026539361
0.088,NaN,NaN,NaN,-0.171913798,NaN,-0.060351887,NaN,-0.030389424,NaN,-0.026387236
0.089,NaN,NaN,NaN,-0.132435794,NaN,-0.07390268,NaN,-0.035725152,NaN,-0.022642889
0.09,NaN,NaN,NaN,-0.134807127,NaN,-0.06816967,NaN,-0.032846229,NaN,-0.021125293
0.091,NaN,NaN,NaN,-0.119821874,NaN,-0.072101285,NaN,-0.033692319,NaN,-0.021273406
0.092,NaN,NaN,NaN,-0.138432329,NaN,-0.068965955,NaN,-0.038644315,NaN,-0.02531011
0.093,NaN,NaN,NaN,-0.111464306,NaN,-0.067746031,NaN,-0.045126372,NaN,-0.022047361
0.094,NaN,NaN,NaN,-0.13497222,NaN,-0.071812682,NaN,-0.039803057,NaN,-0.026091986
0.095,NaN,NaN,NaN,-0.129506988,NaN,-0.082999086,NaN,-0.035552896,NaN,-0.024564661
0.096,NaN,NaN,NaN,-0.160297835,NaN,-0.072915744,NaN,-0.03732652,NaN,-0.028695331
0.097,NaN,NaN,NaN,-0.141253859,NaN,-0.073247307,NaN,-0.034973333,NaN,-0.023737403
0.098,NaN,NaN,NaN,-0.145316927,NaN,-0.083281421,NaN,-0.044107486,NaN,-0.022458252
0.099,NaN,NaN,NaN,-0.157424415,NaN,-0.070705894,NaN,-0.0356926,NaN,-0.031779998
0.1,NaN,NaN,NaN,-0.161889151,NaN,-0.077068657,NaN,-0.047568032,NaN,-0.028441974
0.101,NaN,NaN,NaN,-0.154256911,NaN,-0.090854943,NaN,-0.046530013,NaN,-0.029027336
0.102,NaN,NaN,NaN,-0.182986134,NaN,-0.068924206,NaN,-0.043087675,NaN,-0.025090318
0.103,NaN,NaN,NaN,-0.156118554,NaN,-0.083783511,NaN,-0.046154059,NaN,-0.027827819
0.104,NaN,NaN,NaN,-0.19332353,NaN,-0.085128982,NaN,-0.042122653,NaN,-0.029450652
0.105,NaN,NaN,NaN,-0.183388623,NaN,-0.077187801,NaN,-0.050746766,NaN,-0.029119193
0.106,NaN,NaN,NaN,-0.16872567,NaN,-0.091581716,NaN,-0.048615869,NaN,-0.030479321
0.107,NaN,NaN,NaN,-0.202302923,NaN,-0.084063861,NaN,-0.040804873,NaN,-0.026212061
0.108,NaN,NaN,NaN,-0.182306014,NaN,-0.086465994,NaN,-0.045942792,NaN,-0.031660504
0.109,NaN,NaN,NaN,-0.188412063,NaN,-0.097970602,NaN,-0.052731766,NaN,-0.032565019
0.11,NaN,NaN,NaN,-0.1923867,NaN,-0.092364289,NaN,-0.044974102,NaN,-0.037861306
0.111,NaN,NaN,NaN,-0.183857971,NaN,-0.080577005,NaN,-0.039697167,NaN,-0.028661256
0.112,NaN,NaN,NaN,-0.179144048,NaN,-0.088317501,NaN,-0.051987886,NaN,-0.037352821
0.113,NaN,NaN,NaN,-0.178970227,NaN,-0.097400304,NaN,-0.050484314,NaN,-0.032370377
0.114,NaN,NaN,NaN,-0.165438796,NaN,-0.092110853,NaN,-0.050213331,NaN,-0.034915514
0.115,NaN,NaN,NaN,-0.208046844,NaN,-0.092783827,NaN,-0.049465124,NaN,-0.032067097
0.116,NaN,NaN,NaN,-0.202199433,NaN,-0.097491013,NaN,-0.050396941,NaN,-0.028709637
0.117,NaN,NaN,NaN,-0.198323385,NaN,-0.097798173,NaN,-0.053441913,NaN,-0.028202739
0.118,NaN,NaN,NaN,-0.190832391,NaN,-0.09105443,NaN,-0.049825167,NaN,-0.038573972
0.119,NaN,NaN,NaN,-0.20261788,NaN,-0.090838799,NaN,-0.052049199,NaN,-0.030630824
0.12,NaN,NaN,NaN,-0.208775454,NaN,-0.09060259,NaN,-0.052361835,NaN,-0.036142178
0.121,NaN,NaN,NaN,-0.183760703,NaN,-0.101329698,NaN,-0.049398501,NaN,-0.033812223
0.122,NaN,NaN,NaN,-0.208301673,NaN,-0.093330517,NaN,-0.05876703,NaN,-0.034784005
0.123,NaN,NaN,NaN,-0.191559299,NaN,-0.109409748,NaN,-0.052842339,NaN,-0.031698339
0.124,NaN,NaN,NaN,-0.205694425,NaN,-0.097551274,NaN,-0.052374205,NaN,-0.0377375
0.125,NaN,NaN,NaN,-0.205984571,NaN,-0.103092452,NaN,-0.053100534,NaN,-0.039798103
0.126,NaN,NaN,NaN,-0.215950576,NaN,-0.103992153,NaN,-0.05318799,NaN,-0.034343594
0.127,NaN,NaN,NaN,-0.236348586,NaN,-0.10641661,NaN,-0.054714336,NaN,-0.037886735
0.128,NaN,NaN,NaN,-0.213187694,NaN,-0.104424173,NaN,-0.05991862,NaN,-0.041350316
0.129,NaN,NaN,NaN,-0.220796936,NaN,-0.106632297,NaN,-0.057550916,NaN,-0.035632237
0.13,NaN,NaN,NaN,-0.237523061,NaN,-0.104297533,NaN,-0.056870838,NaN,-0.034171417
0.131,NaN,NaN,NaN,-0.213039549,NaN,-0.110305775,NaN,-0.058571975,NaN,-0.039597758
0.132,NaN,NaN,NaN,-0.217418366,NaN,-0.111611117,NaN,-0.059199052,NaN,-0.040260389
0.133,NaN,NaN,NaN,-0.236608727,NaN,-0.103998114,NaN,-0.058335589,NaN,-0.040223153
0.134,NaN,NaN,NaN,-0.239415423,NaN,-0.110695959,NaN,-0.057138479,NaN,-0.036518864
0.135,NaN,NaN,NaN,-0.262111861,NaN,-0.108980525,NaN,-0.059949534,NaN,-0.036948469
0.136,NaN,NaN,NaN,-0.242697334,NaN,-0.107813457,NaN,-0.061638745,NaN,-0.045722649
0.137,NaN,NaN,NaN,-0.247338809,NaN,-0.113870006,NaN,-0.060723827,NaN,-0.036188871
0.138,NaN,NaN,NaN,-0.282519019,NaN,-0.123944925,NaN,-0.062527382,NaN,-0.042032547
0.139,NaN,NaN,NaN,-0.242249874,NaN,-0.123817418,NaN,-0.062628595,NaN,-0.042127595
0.14,NaN,NaN,NaN,-0.266063529,NaN,-0.116584123,NaN,-0.057241915,NaN,-0.039298363
0.141,NaN,NaN,NaN,-0.273552896,NaN,-0.112605108,NaN,-0.074121661,NaN,-0.039317284
0.142,NaN,NaN,NaN,-0.260569063,NaN,-0.119856846,NaN,-0.060383258,NaN,-0.03875072
0.143,NaN,NaN,NaN,-0.246027562,NaN,-0.114202974,NaN,-0.061361511,NaN,-0.044438335
0.144,NaN,NaN,NaN,-0.25902897,NaN,-0.122281814,NaN,-0.067989095,NaN,-0.041494033
0.145,NaN,NaN,NaN,-0.247511286,NaN,-0.123676295,NaN,-0.066866412,NaN,-0.044342177
0.146,NaN,NaN,NaN,-0.289207385,NaN,-0.125822941,NaN,-0.066681693,NaN,-0.044041753
0.147,NaN,NaN,NaN,-0.26079548,NaN,-0.13896051,NaN,-0.0656065,NaN,-0.04182637
0.148,NaN,NaN,NaN,-0.282477174,NaN,-0.123053345,NaN,-0.067516806,NaN,-0.042723994
0.149,NaN,NaN,NaN,-0.288963095,NaN,-0.137686143,NaN,-0.06492638,NaN,-0.04343805
0.15,NaN,NaN,NaN,-0.273825677,NaN,-0.131520929,NaN,-0.069799859,NaN,-0.044983339
0.151,NaN,NaN,NaN,-0.286005896,NaN,-0.131001522,NaN,-0.067329055,NaN,-0.047316988
0.152,NaN,NaN,NaN,-0.268728317,NaN,-0.137873836,NaN,-0.071364214,NaN,-0.044822849
0.153,NaN,NaN,NaN,-0.296292212,NaN,-0.137355759,NaN,-0.073532352,NaN,-0.044448054
0.154,NaN,NaN,NaN,-0.293681167,NaN,-0.138867028,NaN,-0.065883178,NaN,-0.042700968
0.155,NaN,NaN,NaN,-0.290970236,NaN,-0.138754146,NaN,-0.068629688,NaN,-0.043351509
0.156,NaN,NaN,NaN,-0.315346303,NaN,-0.128477687,NaN,-0.072456661,NaN,-0.048068413
0.157,NaN,NaN,NaN,-0.299456688,NaN,-0.14116863,NaN,-0.078902409,NaN,-0.047773799
0.158,NaN,NaN,NaN,-0.319854195,NaN,-0.135587233,NaN,-0.070053888,NaN,-0.046267023
0.159,NaN,NaN,NaN,-0.315342775,NaN,-0.154750719,NaN,-0.074995359,NaN,-0.047172346
0.16,NaN,NaN,NaN,-0.326851561,NaN,-0.150729758,NaN,-0.073545679,NaN,-0.053030351
0.161,NaN,NaN,NaN,-0.315969519,NaN,-0.150775583,NaN,-0.080909078,NaN,-0.049818915
0.162,NaN,NaN,NaN,-0.340619549,NaN,-0.148321841,NaN,-0.074885417,NaN,-0.051154169
0.163,NaN,NaN,NaN,-0.330930474,NaN,-0.134930232,NaN,-0.081498503,NaN,-0.050163123
0.164,NaN,NaN,NaN,-0.334559142,NaN,-0.151137118,NaN,-0.073899605,NaN,-0.05032892
0.165,NaN,NaN,NaN,-0.335506054,NaN,-0.144226746,NaN,-0.074333631,NaN,-0.047271757
0.166,NaN,NaN,NaN,-0.346191581,NaN,-0.153919476,NaN,-0.075905608,NaN,-0.045529779
0.167,NaN,NaN,NaN,-0.326064851,NaN,-0.154477822,NaN,-0.076273547,NaN,-0.049109537
0.168,NaN,NaN,NaN,-0.327465341,NaN,-0.151120309,NaN,-0.079501026,NaN,-0.047755284
0.169,NaN,NaN,NaN,-0.360487445,NaN,-0.145737079,NaN,-0.083348793,NaN,-0.04857253
0.17,NaN,NaN,NaN,-0.350330392,NaN,-0.148253428,NaN,-0.080996017,NaN,-0.04795353
0.171,NaN,NaN,NaN,-0.33643588,NaN,-0.155548572,NaN,-0.082715086,NaN,-0.051971036
0.172,NaN,NaN,NaN,-0.359724242,NaN,-0.142422412,NaN,-0.081796461,NaN,-0.05414877
0.173,NaN,NaN,NaN,-0.374823795,NaN,-0.160040567,NaN,-0.080252574,NaN,-0.055986664
0.174,NaN,NaN,NaN,-0.364554452,NaN,-0.161793313,NaN,-0.081489135,NaN,-0.052230286
0.175,NaN,NaN,NaN,-0.368966649,NaN,-0.164872849,NaN,-0.090331903,NaN,-0.0501259
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