# Publisher, Zhijie Xu,zhijie.xu@pnnl.gov,zhijiexu@hotmail.com,,,,,,,
# Updated, 04/2022,,,,,,,,,
#Name,Eighth order longitudinal velocity structure functions S8LP (normalized by one-dimensional velocity dispersion u^8) ,,,,,,,,,
#Ref. [1] ,https://doi.org/10.48550/arXiv.2202.00910,,,,,Correlation functions 2nd ,,,,
#Ref. [2] Eq. (39) Fig. 15 23,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,71.44416821,NaN,14.96971603,NaN,385.7207201,NaN,3886.180954
0.002,NaN,NaN,NaN,19.31157467,NaN,5820.209614,NaN,45494.00565,NaN,632075.6119
0.003,NaN,NaN,NaN,385108.5326,NaN,1968142.883,NaN,47879.80431,NaN,21970.20106
0.004,NaN,NaN,NaN,7728.89812,NaN,190464.8165,NaN,58558.11621,NaN,93772.11124
0.005,NaN,NaN,NaN,62518.82036,NaN,70658.6379,NaN,99826.5816,NaN,204063.116
0.006,NaN,NaN,NaN,25806.02667,NaN,85859.92381,NaN,168900.88,NaN,265693.9671
0.007,NaN,NaN,NaN,7751.378715,NaN,76467.76636,NaN,228047.2636,NaN,389646.0237
0.008,NaN,NaN,NaN,41270.84762,NaN,201098.354,NaN,208781.4486,NaN,80296.49187
0.009,NaN,NaN,NaN,94131.33497,NaN,96824.88092,NaN,210590.1137,NaN,159151.9243
0.01,NaN,NaN,NaN,107643.1895,NaN,123345.9844,NaN,68595.62446,NaN,151583.0946
0.011,NaN,NaN,NaN,24655.9085,NaN,111898.2561,NaN,99144.73712,NaN,224635.1111
0.012,NaN,NaN,NaN,153090.4074,NaN,1104213.635,NaN,136657.7394,NaN,174416.8758
0.013,NaN,NaN,NaN,24318.88419,NaN,628549.0337,NaN,131432.5512,NaN,208706.7473
0.014,NaN,NaN,NaN,47717.16869,NaN,140086.3371,NaN,279448.2083,NaN,210709.6127
0.015,NaN,NaN,NaN,71024.14036,NaN,310086.1848,NaN,82405.29884,NaN,216517.9695
0.016,NaN,NaN,NaN,88909.77161,NaN,39507.95431,NaN,116949.3513,NaN,376097.5354
0.017,NaN,NaN,NaN,397410.6233,NaN,369058.8183,NaN,175403.5778,NaN,223397.6157
0.018,NaN,NaN,NaN,1148516.206,NaN,431583.3587,NaN,189285.954,NaN,221599.2713
0.019,NaN,NaN,NaN,37672.05206,NaN,129817.8582,NaN,136347.6658,NaN,253199.0134
0.02,NaN,NaN,NaN,282297.5222,NaN,296120.6957,NaN,178972.0265,NaN,217312.6341
0.021,NaN,NaN,NaN,335121.5437,NaN,1696334.443,NaN,145259.9527,NaN,331374.6979
0.022,NaN,NaN,NaN,31414.65187,NaN,251668.4661,NaN,161085.6096,NaN,306239.9487
0.023,NaN,NaN,NaN,30522.87926,NaN,379226.4763,NaN,163939.6685,NaN,457045.5242
0.024,NaN,NaN,NaN,144344.1739,NaN,428025.1163,NaN,189145.47,NaN,240290.9612
0.025,NaN,NaN,NaN,1502177.658,NaN,575539.6477,NaN,164273.8558,NaN,279634.8401
0.026,NaN,NaN,NaN,529279.3275,NaN,506600.2227,NaN,129586.506,NaN,354116.6262
0.027,NaN,NaN,NaN,407300.3924,NaN,309179.176,NaN,316670.0341,NaN,194349.7445
0.028,NaN,NaN,NaN,392543.5188,NaN,480333.1308,NaN,129528.3152,NaN,248733.8728
0.029,NaN,NaN,NaN,1635326.237,NaN,262481.4739,NaN,253617.2393,NaN,243825.4278
0.03,NaN,NaN,NaN,369257.9354,NaN,171833.3138,NaN,256379.1802,NaN,410823.0731
0.031,NaN,NaN,NaN,64775.90567,NaN,531515.5732,NaN,192903.8849,NaN,279564.6754
0.032,NaN,NaN,NaN,85751.1176,NaN,296472.2495,NaN,165959.2476,NaN,269072.9307
0.033,NaN,NaN,NaN,259231.0476,NaN,527495.3305,NaN,375850.5797,NaN,374512.3057
0.034,NaN,NaN,NaN,96513.90443,NaN,478471.2919,NaN,346451.9053,NaN,304993.5113
0.035,NaN,NaN,NaN,797884.8628,NaN,767008.3813,NaN,178140.2665,NaN,298282.457
0.036,NaN,NaN,NaN,220124.3967,NaN,552242.6559,NaN,222114.5014,NaN,310396.2862
0.037,NaN,NaN,NaN,419010.503,NaN,350624.5147,NaN,236228.9337,NaN,424444.875
0.038,NaN,NaN,NaN,343703.9189,NaN,585537.9031,NaN,212266.441,NaN,255410.1099
0.039,NaN,NaN,NaN,465164.5231,NaN,346888.0519,NaN,268792.7271,NaN,331532.854
0.04,NaN,NaN,NaN,158295.0006,NaN,277325.1252,NaN,224053.9728,NaN,351550.3973
0.041,NaN,NaN,NaN,189338.0066,NaN,548396.0451,NaN,236406.8196,NaN,327025.7345
0.042,NaN,NaN,NaN,611637.1258,NaN,194707.8258,NaN,225143.3058,NaN,400754.5439
0.043,NaN,NaN,NaN,155042.9606,NaN,368778.642,NaN,223544.7755,NaN,262513.9145
0.044,NaN,NaN,NaN,271217.5407,NaN,409436.3869,NaN,269346.4986,NaN,395188.0656
0.045,NaN,NaN,NaN,133625.8939,NaN,454687.9629,NaN,256830.4996,NaN,286855.4674
0.046,NaN,NaN,NaN,419425.2801,NaN,471671.924,NaN,308903.2521,NaN,245159.3436
0.047,NaN,NaN,NaN,3295924.945,NaN,520474.7606,NaN,284073.2171,NaN,284820.5771
0.048,NaN,NaN,NaN,232096.0483,NaN,386639.5386,NaN,231742.1772,NaN,452017.844
0.049,NaN,NaN,NaN,974252.0506,NaN,739665.3107,NaN,337849.5347,NaN,453909.3779
0.05,NaN,NaN,NaN,96464.10708,NaN,381938.012,NaN,200173.2276,NaN,394962.7549
0.051,NaN,NaN,NaN,534278.3416,NaN,325516.2564,NaN,268550.6757,NaN,369261.6465
0.052,NaN,NaN,NaN,542559.9981,NaN,513144.5903,NaN,338888.1008,NaN,392047.8989
0.053,NaN,NaN,NaN,1131586.463,NaN,585414.6241,NaN,208257.8659,NaN,383312.0748
0.054,NaN,NaN,NaN,200878.1292,NaN,818421.1039,NaN,293258.4665,NaN,382470.4426
0.055,NaN,NaN,NaN,986357.3972,NaN,418419.6633,NaN,223294.5717,NaN,462844.7438
0.056,NaN,NaN,NaN,954196.257,NaN,352396.9103,NaN,203350.7766,NaN,367525.8069
0.057,NaN,NaN,NaN,119643.044,NaN,503734.9164,NaN,268043.4007,NaN,405761.3993
0.058,NaN,NaN,NaN,1346153.786,NaN,348420.7086,NaN,296522.7608,NaN,352096.6389
0.059,NaN,NaN,NaN,317809.7455,NaN,339890.769,NaN,274054.8551,NaN,423156.4828
0.06,NaN,NaN,NaN,248446.6963,NaN,560337.3064,NaN,305657.7404,NaN,352005.9564
0.061,NaN,NaN,NaN,857804.2957,NaN,395684.8603,NaN,229165.8945,NaN,420543.683
0.062,NaN,NaN,NaN,413408.7045,NaN,512291.9302,NaN,272080.1834,NaN,360716.9793
0.063,NaN,NaN,NaN,491587.8608,NaN,709724.5338,NaN,257757.7046,NaN,380002.0429
0.064,NaN,NaN,NaN,212472.6425,NaN,525124.9475,NaN,251543.0256,NaN,493896.3214
0.065,NaN,NaN,NaN,293801.8974,NaN,1008602.526,NaN,296566.4042,NaN,453922.8868
0.066,NaN,NaN,NaN,1225402.897,NaN,1011834.987,NaN,269781.7928,NaN,449901.3435
0.067,NaN,NaN,NaN,410666.9432,NaN,580160.925,NaN,299063.4295,NaN,397698.7171
0.068,NaN,NaN,NaN,763356.9895,NaN,483654.1362,NaN,243186.8049,NaN,390360.7592
0.069,NaN,NaN,NaN,341994.5535,NaN,308642.2009,NaN,287993.1057,NaN,421374.6202
0.07,NaN,NaN,NaN,283035.9433,NaN,325768.359,NaN,344248.1355,NaN,372537.8197
0.071,NaN,NaN,NaN,818811.0999,NaN,649993.8125,NaN,273369.6159,NaN,398437.6255
0.072,NaN,NaN,NaN,290115.3455,NaN,496539.3267,NaN,360119.2553,NaN,505212.101
0.073,NaN,NaN,NaN,439697.1676,NaN,353998.4048,NaN,336379.6663,NaN,385512.7859
0.074,NaN,NaN,NaN,315081.8082,NaN,355274.805,NaN,330709.4703,NaN,481610.8453
0.075,NaN,NaN,NaN,828591.5213,NaN,756351.9669,NaN,301329.7351,NaN,495741.3955
0.076,NaN,NaN,NaN,537725.5468,NaN,581730.5222,NaN,287426.8647,NaN,424991.2592
0.077,NaN,NaN,NaN,863355.7716,NaN,394185.0093,NaN,276163.9269,NaN,375321.8663
0.078,NaN,NaN,NaN,306573.5814,NaN,644318.6878,NaN,353632.217,NaN,458863.0227
0.079,NaN,NaN,NaN,813690.6586,NaN,389605.446,NaN,320307.6222,NaN,598563.458
0.08,NaN,NaN,NaN,258140.7806,NaN,607246.5475,NaN,356037.7293,NaN,434050.4755
0.081,NaN,NaN,NaN,524508.8347,NaN,349616.3857,NaN,384196.6882,NaN,447055.7061
0.082,NaN,NaN,NaN,516448.6779,NaN,541044.9118,NaN,279876.135,NaN,381642.2276
0.083,NaN,NaN,NaN,332920.7675,NaN,545337.427,NaN,363029.2656,NaN,426268.3028
0.084,NaN,NaN,NaN,296104.689,NaN,428020.6097,NaN,310651.5355,NaN,584012.1003
0.085,NaN,NaN,NaN,718611.0378,NaN,636559.5585,NaN,263537.0159,NaN,369090.1241
0.086,NaN,NaN,NaN,360877.03,NaN,416919.1831,NaN,331504.2386,NaN,500787.0804
0.087,NaN,NaN,NaN,738351.9379,NaN,706797.4903,NaN,298965.8696,NaN,483812.2756
0.088,NaN,NaN,NaN,424464.9879,NaN,740261.2796,NaN,312055.9859,NaN,517387.9698
0.089,NaN,NaN,NaN,1437742.065,NaN,1106072.159,NaN,348694.7819,NaN,490137.2325
0.09,NaN,NaN,NaN,708752.944,NaN,358078.2139,NaN,385908.3039,NaN,519877.9077
0.091,NaN,NaN,NaN,377740.3379,NaN,441062.4747,NaN,327767.0655,NaN,452978.6756
0.092,NaN,NaN,NaN,11654937.76,NaN,591938.5244,NaN,329604.7954,NaN,517183.421
0.093,NaN,NaN,NaN,290910.7653,NaN,637421.4855,NaN,356164.7517,NaN,465142.3803
0.094,NaN,NaN,NaN,467045.3139,NaN,471843.484,NaN,355023.4417,NaN,529425.2923
0.095,NaN,NaN,NaN,1861695.459,NaN,602651.948,NaN,329847.1606,NaN,500294.6236
0.096,NaN,NaN,NaN,723989.3988,NaN,565511.5982,NaN,353945.5573,NaN,555534.8354
0.097,NaN,NaN,NaN,423568.912,NaN,640022.383,NaN,339526.7174,NaN,465914.0516
0.098,NaN,NaN,NaN,741023.4499,NaN,522619.4534,NaN,338973.1599,NaN,552435.459
0.099,NaN,NaN,NaN,1072511.444,NaN,682575.8768,NaN,385110.7656,NaN,523291.552
0.1,NaN,NaN,NaN,1040557.518,NaN,764740.3473,NaN,315929.3803,NaN,520573.3117
0.101,NaN,NaN,NaN,1080591.734,NaN,590487.0253,NaN,362019.6291,NaN,520625.0469
0.102,NaN,NaN,NaN,305863.0933,NaN,447573.0045,NaN,336581.4353,NaN,591479.3379
0.103,NaN,NaN,NaN,740668.5813,NaN,441465.6241,NaN,327230.1216,NaN,530181.7868
0.104,NaN,NaN,NaN,1131060.625,NaN,360999.2313,NaN,376967.5814,NaN,500201.4956
0.105,NaN,NaN,NaN,1095611.446,NaN,591501.485,NaN,449969.158,NaN,616378.2655
0.106,NaN,NaN,NaN,1420783.131,NaN,665716.8392,NaN,359318.2796,NaN,574542.6844
0.107,NaN,NaN,NaN,559013.3183,NaN,538530.93,NaN,411558.1981,NaN,478523.392
0.108,NaN,NaN,NaN,627161.8133,NaN,523909.5763,NaN,342425.4618,NaN,562607.6387
0.109,NaN,NaN,NaN,435026.4999,NaN,611473.324,NaN,422589.7366,NaN,612772.026
0.11,NaN,NaN,NaN,304405.6632,NaN,478008.8683,NaN,360096.2867,NaN,586503.7314
0.111,NaN,NaN,NaN,626806.3079,NaN,712825.5986,NaN,318278.9687,NaN,598281.9508
0.112,NaN,NaN,NaN,1307289.961,NaN,472666.315,NaN,379612.5438,NaN,600194.7065
0.113,NaN,NaN,NaN,291340.7245,NaN,481240.3901,NaN,367689.4539,NaN,562251.7153
0.114,NaN,NaN,NaN,2133681.251,NaN,537961.0644,NaN,376223.132,NaN,495351.0302
0.115,NaN,NaN,NaN,1263907.358,NaN,594783.4598,NaN,468633.4018,NaN,518781.5149
0.116,NaN,NaN,NaN,402627.9453,NaN,534802.6022,NaN,399205.6837,NaN,536660.2459
0.117,NaN,NaN,NaN,3468726.527,NaN,862695.1874,NaN,401693.5961,NaN,548551.4872
0.118,NaN,NaN,NaN,511886.1433,NaN,611876.6872,NaN,427428.8991,NaN,650705.1591
0.119,NaN,NaN,NaN,514341.77,NaN,527465.0114,NaN,442053.3547,NaN,549460.4582
0.12,NaN,NaN,NaN,357458.6015,NaN,903521.3423,NaN,371820.7293,NaN,605200.4112
0.121,NaN,NaN,NaN,1757876.735,NaN,598113.7723,NaN,433660.8231,NaN,573559.1165
0.122,NaN,NaN,NaN,608845.082,NaN,520578.3077,NaN,379294.5308,NaN,578247.4544
0.123,NaN,NaN,NaN,910287.0716,NaN,691136.033,NaN,360838.4501,NaN,670719.0249
0.124,NaN,NaN,NaN,757389.7128,NaN,651235.2125,NaN,439938.487,NaN,593750.1733
0.125,NaN,NaN,NaN,997935.4254,NaN,510865.9663,NaN,386336.8012,NaN,608451.5022
0.126,NaN,NaN,NaN,833492.9414,NaN,846629.5219,NaN,377889.0494,NaN,548106.0002
0.127,NaN,NaN,NaN,239334.1882,NaN,663386.1553,NaN,458572.3236,NaN,610932.7167
0.128,NaN,NaN,NaN,593887.2871,NaN,552856.4242,NaN,427202.8713,NaN,616670.6524
0.129,NaN,NaN,NaN,851324.3295,NaN,628268.0269,NaN,405261.3176,NaN,571719.7494
0.13,NaN,NaN,NaN,413395.4449,NaN,739486.0007,NaN,387715.8157,NaN,576171.9781
0.131,NaN,NaN,NaN,762003.2002,NaN,834081.1226,NaN,398697.3563,NaN,668184.4526
0.132,NaN,NaN,NaN,625351.4283,NaN,607158.9766,NaN,500975.3942,NaN,623625.7541
0.133,NaN,NaN,NaN,804792.5443,NaN,562964.8993,NaN,380112.7927,NaN,683612.6464
0.134,NaN,NaN,NaN,454276.109,NaN,509555.9307,NaN,376833.3766,NaN,606222.7515
0.135,NaN,NaN,NaN,313370.9212,NaN,599864.7069,NaN,406545.6816,NaN,699626.8567
0.136,NaN,NaN,NaN,427917.4458,NaN,672415.3353,NaN,385715.0451,NaN,680911.4305
0.137,NaN,NaN,NaN,513956.7686,NaN,814719.6422,NaN,413529.4614,NaN,610120.9851
0.138,NaN,NaN,NaN,355906.2259,NaN,528594.7391,NaN,391222.7307,NaN,700237.6238
0.139,NaN,NaN,NaN,363710.485,NaN,845126.9085,NaN,430318.4576,NaN,624923.5436
0.14,NaN,NaN,NaN,1128429.798,NaN,818441.4343,NaN,455047.2834,NaN,666742.0123
0.141,NaN,NaN,NaN,450445.6289,NaN,655530.7719,NaN,430074.8324,NaN,704298.3735
0.142,NaN,NaN,NaN,454946.1587,NaN,719248.5205,NaN,414440.1133,NaN,687084.1887
0.143,NaN,NaN,NaN,381141.8355,NaN,645631.9291,NaN,419628.505,NaN,713543.8858
0.144,NaN,NaN,NaN,749425.6171,NaN,529438.2412,NaN,400875.8097,NaN,621156.7716
0.145,NaN,NaN,NaN,951351.2,NaN,713810.9139,NaN,486334.3235,NaN,655233.3271
0.146,NaN,NaN,NaN,886473.8654,NaN,574319.0321,NaN,445175.3174,NaN,661331.9947
0.147,NaN,NaN,NaN,974104.1746,NaN,761798.888,NaN,401386.1207,NaN,691214.9011
0.148,NaN,NaN,NaN,542792.1134,NaN,729184.9707,NaN,452820.52,NaN,707326.5741
0.149,NaN,NaN,NaN,1496126.35,NaN,715793.5322,NaN,464829.3429,NaN,715358.6676
0.15,NaN,NaN,NaN,418152.7348,NaN,696647.9814,NaN,516974.924,NaN,629497.8052
0.151,NaN,NaN,NaN,450017.2021,NaN,731302.3017,NaN,436666.5882,NaN,754450.1877
0.152,NaN,NaN,NaN,1062959.838,NaN,748502.0972,NaN,464192.151,NaN,634223.7225
0.153,NaN,NaN,NaN,870012.7433,NaN,552086.9257,NaN,480455.3349,NaN,685543.3048
0.154,NaN,NaN,NaN,1077857.733,NaN,568149.3641,NaN,491608.5337,NaN,643800.5642
0.155,NaN,NaN,NaN,745407.2046,NaN,533067.5279,NaN,452990.4807,NaN,698478.1
0.156,NaN,NaN,NaN,496413.675,NaN,566491.2714,NaN,471116.2571,NaN,670181.4197
0.157,NaN,NaN,NaN,1393281.565,NaN,732679.595,NaN,461297.4883,NaN,795810.8309
0.158,NaN,NaN,NaN,788287.1928,NaN,628657.5499,NaN,431799.5571,NaN,704572.6871
0.159,NaN,NaN,NaN,1196728.229,NaN,738599.7969,NaN,472458.4663,NaN,789877.6824
0.16,NaN,NaN,NaN,2066884.256,NaN,578924.8217,NaN,543892.9583,NaN,716819.4912
0.161,NaN,NaN,NaN,2105619.968,NaN,825315.0288,NaN,493294.5345,NaN,686595.2097
0.162,NaN,NaN,NaN,803617.6006,NaN,755494.6745,NaN,476551.9869,NaN,759983.489
0.163,NaN,NaN,NaN,763000.9979,NaN,597447.3154,NaN,458147.9746,NaN,706694.2479
0.164,NaN,NaN,NaN,571209.5662,NaN,807120.036,NaN,468935.0309,NaN,718631.3825
0.165,NaN,NaN,NaN,1517186.111,NaN,663090.7595,NaN,408927.5222,NaN,688681.4486
0.166,NaN,NaN,NaN,1831050.219,NaN,681473.5591,NaN,494993.365,NaN,739649.0987
0.167,NaN,NaN,NaN,1610776.556,NaN,712856.543,NaN,459576.3186,NaN,768084.2517
0.168,NaN,NaN,NaN,384852.5073,NaN,542878.3211,NaN,458528.4566,NaN,739950.1552
0.169,NaN,NaN,NaN,1803230.368,NaN,638020.079,NaN,517743.0883,NaN,769064.2332
0.17,NaN,NaN,NaN,1611567.884,NaN,686926.5137,NaN,514248.5304,NaN,711711.2895
0.171,NaN,NaN,NaN,683244.5155,NaN,702473.575,NaN,471081.9627,NaN,713418.436
0.172,NaN,NaN,NaN,1404539.108,NaN,774355.1247,NaN,502552.8042,NaN,726156.6432
0.173,NaN,NaN,NaN,1051779.202,NaN,1021826.607,NaN,462701.9519,NaN,851394.6143
0.174,NaN,NaN,NaN,426701.9002,NaN,589162.9281,NaN,491356.841,NaN,687817.5664
0.175,NaN,NaN,NaN,1065478.269,NaN,804374.4635,NaN,486853.7867,NaN,854586.3143
0.176,NaN,NaN,NaN,1766858.895,NaN,659711.5561,NaN,434355.5398,NaN,809083.3123
0.177,NaN,NaN,NaN,385704.9725,NaN,744138.653,NaN,526698.1146,NaN,745325.0361
0.178,NaN,NaN,NaN,852162.2035,NaN,758144.215,NaN,545515.4794,NaN,795161.4555
0.179,NaN,NaN,NaN,1122980.773,NaN,980571.8748,NaN,492527.544,NaN,711661.7887
0.18,NaN,NaN,NaN,1244090.157,NaN,728450.8774,NaN,504759.6406,NaN,781594.3073
0.181,NaN,NaN,NaN,1115991.644,NaN,654751.2276,NaN,505648.4982,NaN,780429.8665
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