   precision 4 - 18
let threshold = [| 10.; 20.; 40.; 80.; 220.; 400.; 900.; 1800.; 3100.; 6500.; 11500.;
                  20000.; 50000.; 120000.; 350000. |]

let raw_estimated_data = [|
   precision 4
  [| 11.0; 11.717; 12.207; 12.7896; 13.2882; 13.8204; 14.3772; 14.9342; 15.5202;
    16.161; 16.7722; 17.4636; 18.0396; 18.6766; 19.3566; 20.0454; 20.7936;
    21.4856; 22.2666; 22.9946; 23.766; 24.4692; 25.3638; 26.0764; 26.7864;
    27.7602; 28.4814; 29.433; 30.2926; 31.0664; 31.9996; 32.7956; 33.5366;
    34.5894; 35.5738; 36.2698; 37.3682; 38.0544; 39.2342; 40.0108; 40.7966;
    41.9298; 42.8704; 43.6358; 44.5194; 45.773; 46.6772; 47.6174; 48.4888;
    49.3304; 50.2506; 51.4996; 52.3824; 53.3078; 54.3984; 55.5838; 56.6618;
    57.2174; 58.3514; 59.0802; 60.1482; 61.0376; 62.3598; 62.8078; 63.9744;
    64.914; 65.781; 67.1806; 68.0594; 68.8446; 69.7928; 70.8248; 71.8324;
    72.8598; 73.6246; 74.7014; 75.393; 76.6708; 77.2394; |];
   precision 5
  [| 23.0; 23.1194; 23.8208; 24.2318; 24.77; 25.2436; 25.7774; 26.2848; 26.8224;
    27.3742; 27.9336; 28.503; 29.0494; 29.6292; 30.2124; 30.798; 31.367;
    31.9728; 32.5944; 33.217; 33.8438; 34.3696; 35.0956; 35.7044; 36.324;
    37.0668; 37.6698; 38.3644; 39.049; 39.6918; 40.4146; 41.082; 41.687;
    42.5398; 43.2462; 43.857; 44.6606; 45.4168; 46.1248; 46.9222; 47.6804;
    48.447; 49.3454; 49.9594; 50.7636; 51.5776; 52.331; 53.19; 53.9676;
    54.7564; 55.5314; 56.4442; 57.3708; 57.9774; 58.9624; 59.8796; 60.755;
    61.472; 62.2076; 63.1024; 63.8908; 64.7338; 65.7728; 66.629; 67.413; 68.3266;
    69.1524; 70.2642; 71.1806; 72.0566; 72.9192; 73.7598; 74.3516; 75.5802;
    76.4386; 77.4916; 78.1524; 79.1892; 79.8414; 80.8798; 81.8376; 82.4698;
    83.7656; 84.331; 85.5914; 86.6012; 87.7016; 88.5582; 89.3394; 90.3544;
    91.4912; 92.308; 93.3552; 93.9746; 95.2052; 95.727; 97.1322; 98.3944;
    98.7588; 100.242; 101.1914; 102.2538; 102.8776; 103.6292; 105.1932; 105.9152;
    107.0868; 107.6728; 108.7144; 110.3114; 110.8716; 111.245; 112.7908;
    113.7064; 114.636; 115.7464; 116.1788; 117.7464; 118.4896; 119.6166;
    120.5082; 121.7798; 122.9028; 123.4426; 124.8854; 125.705; 126.4652;
    128.3464; 128.3462; 130.0398; 131.0342; 131.0042; 132.4766; 133.511;
    134.7252; 135.425; 136.5172; 138.0572; 138.6694; 139.3712; 140.8598;
    141.4594; 142.554; 143.4006; 144.7374; 146.1634; 146.8994; 147.605; 147.9304;
    149.1636; 150.2468; 151.5876; 152.2096; 153.7032; 154.7146; 155.807;
    156.9228; 157.0372; 158.5852; |];
   precision 6
  [| 46.0; 46.1902; 47.271; 47.8358; 48.8142; 49.2854; 50.317; 51.354; 51.8924;
    52.9436; 53.4596; 54.5262; 55.6248; 56.1574; 57.2822; 57.837; 58.9636;
    60.074; 60.7042; 61.7976; 62.4772; 63.6564; 64.7942; 65.5004; 66.686;
    67.291; 68.5672; 69.8556; 70.4982; 71.8204; 72.4252; 73.7744; 75.0786;
    75.8344; 77.0294; 77.8098; 79.0794; 80.5732; 81.1878; 82.5648; 83.2902;
    84.6784; 85.3352; 86.8946; 88.3712; 89.0852; 90.499; 91.2686; 92.6844;
    94.2234; 94.9732; 96.3356; 97.2286; 98.7262; 100.3284; 101.1048; 102.5962;
    103.3562; 105.1272; 106.4184; 107.4974; 109.0822; 109.856; 111.48; 113.2834;
    114.0208; 115.637; 116.5174; 118.0576; 119.7476; 120.427; 122.1326; 123.2372;
    125.2788; 126.6776; 127.7926; 129.1952; 129.9564; 131.6454; 133.87; 134.5428;
    136.2; 137.0294; 138.6278; 139.6782; 141.792; 143.3516; 144.2832; 146.0394;
    147.0748; 148.4912; 150.849; 151.696; 153.5404; 154.073; 156.3714; 157.7216;
    158.7328; 160.4208; 161.4184; 163.9424; 165.2772; 166.411; 168.1308; 168.769;
    170.9258; 172.6828; 173.7502; 175.706; 176.3886; 179.0186; 180.4518; 181.927;
    183.4172; 184.4114; 186.033; 188.5124; 189.5564; 191.6008; 192.4172;
    193.8044; 194.997; 197.4548; 198.8948; 200.2346; 202.3086; 203.1548;
    204.8842; 206.6508; 206.6772; 209.7254; 210.4752; 212.7228; 214.6614;
    215.1676; 217.793; 218.0006; 219.9052; 221.66; 223.5588; 225.1636; 225.6882;
    227.7126; 229.4502; 231.1978; 232.9756; 233.1654; 236.727; 238.1974;
    237.7474; 241.1346; 242.3048; 244.1948; 245.3134; 246.879; 249.1204; 249.853;
    252.6792; 253.857; 254.4486; 257.2362; 257.9534; 260.0286; 260.5632; 262.663;
    264.723; 265.7566; 267.2566; 267.1624; 270.62; 272.8216; 273.2166; 275.2056;
    276.2202; 278.3726; 280.3344; 281.9284; 283.9728; 284.1924; 286.4872;
    287.587; 289.807; 291.1206; 292.769; 294.8708; 296.665; 297.1182; 299.4012;
    300.6352; 302.1354; 304.1756; 306.1606; 307.3462; 308.5214; 309.4134;
    310.8352; 313.9684; 315.837; 316.7796; 318.9858; |];
   precision 7
  [| 92.0; 93.4934; 94.9758; 96.4574; 97.9718; 99.4954; 101.5302; 103.0756;
    104.6374; 106.1782; 107.7888; 109.9522; 111.592; 113.2532; 114.9086;
    116.5938; 118.9474; 120.6796; 122.4394; 124.2176; 125.9768; 128.4214;
    130.2528; 132.0102; 133.8658; 135.7278; 138.3044; 140.1316; 142.093;
    144.0032; 145.9092; 148.6306; 150.5294; 152.5756; 154.6508; 156.662;
    159.552; 161.3724; 163.617; 165.5754; 167.7872; 169.8444; 172.7988;
    174.8606; 177.2118; 179.3566; 181.4476; 184.5882; 186.6816; 189.0824;
    191.0258; 193.6048; 196.4436; 198.7274; 200.957; 203.147; 205.4364; 208.7592;
    211.3386; 213.781; 215.8028; 218.656; 221.6544; 223.996; 226.4718; 229.1544;
    231.6098; 234.5956; 237.0616; 239.5758; 242.4878; 244.5244; 248.2146;
    250.724; 252.8722; 255.5198; 258.0414; 261.941; 264.9048; 266.87; 269.4304;
    272.028; 274.4708; 278.37; 281.0624; 283.4668; 286.5532; 289.4352; 293.2564;
    295.2744; 298.2118; 300.7472; 304.1456; 307.2928; 309.7504; 312.5528;
    315.979; 318.2102; 322.1834; 324.3494; 327.325; 330.6614; 332.903; 337.2544;
    339.9042; 343.215; 345.2864; 348.0814; 352.6764; 355.301; 357.139; 360.658;
    363.1732; 366.5902; 369.9538; 373.0828; 375.922; 378.9902; 382.7328;
    386.4538; 388.1136; 391.2234; 394.0878; 396.708; 401.1556; 404.1852;
    406.6372; 409.6822; 412.7796; 416.6078; 418.4916; 422.131; 424.5376;
    428.1988; 432.211; 434.4502; 438.5282; 440.912; 444.0448; 447.7432; 450.8524;
    453.7988; 456.7858; 458.8868; 463.9886; 466.5064; 468.9124; 472.6616;
    475.4682; 478.582; 481.304; 485.2738; 488.6894; 490.329; 496.106; 497.6908;
    501.1374; 504.5322; 506.8848; 510.3324; 513.4512; 516.179; 520.4412;
    522.6066; 526.167; 528.7794; 533.379; 536.067; 538.46; 542.9116; 545.692;
    547.9546; 552.493; 555.2722; 557.335; 562.449; 564.2014; 569.0738; 571.0974;
    574.8564; 578.2996; 581.409; 583.9704; 585.8098; 589.6528; 594.5998; 595.958;
    600.068; 603.3278; 608.2016; 609.9632; 612.864; 615.43; 620.7794; 621.272;
    625.8644; 629.206; 633.219; 634.5154; 638.6102; |];
   precision 8
  [| 184.2152; 187.2454; 190.2096; 193.6652; 196.6312; 199.6822; 203.249;
    206.3296; 210.0038; 213.2074; 216.4612; 220.27; 223.5178; 227.4412;
    230.8032; 234.1634; 238.1688; 241.6074; 245.6946; 249.2664; 252.8228;
    257.0432; 260.6824; 264.9464; 268.6268; 272.2626; 276.8376; 280.4034;
    284.8956; 288.8522; 292.7638; 297.3552; 301.3556; 305.7526; 309.9292;
    313.8954; 318.8198; 322.7668; 327.298; 331.6688; 335.9466; 340.9746;
    345.1672; 349.3474; 354.3028; 358.8912; 364.114; 368.4646; 372.9744;
    378.4092; 382.6022; 387.843; 392.5684; 397.1652; 402.5426; 407.4152;
    412.5388; 417.3592; 422.1366; 427.486; 432.3918; 437.5076; 442.509; 447.3834;
    453.3498; 458.0668; 463.7346; 469.1228; 473.4528; 479.7; 484.644; 491.0518;
    495.5774; 500.9068; 506.432; 512.1666; 517.434; 522.6644; 527.4894; 533.6312;
    538.3804; 544.292; 550.5496; 556.0234; 562.8206; 566.6146; 572.4188; 579.117;
    583.6762; 590.6576; 595.7864; 601.509; 607.5334; 612.9204; 619.772; 624.2924;
    630.8654; 636.1836; 642.745; 649.1316; 655.0386; 660.0136; 666.6342;
    671.6196; 678.1866; 684.4282; 689.3324; 695.4794; 702.5038; 708.129; 713.528;
    720.3204; 726.463; 732.7928; 739.123; 744.7418; 751.2192; 756.5102; 762.6066;
    769.0184; 775.2224; 781.4014; 787.7618; 794.1436; 798.6506; 805.6378;
    811.766; 819.7514; 824.5776; 828.7322; 837.8048; 843.6302; 849.9336;
    854.4798; 861.3388; 867.9894; 873.8196; 880.3136; 886.2308; 892.4588;
    899.0816; 905.4076; 912.0064; 917.3878; 923.619; 929.998; 937.3482; 943.9506;
    947.991; 955.1144; 962.203; 968.8222; 975.7324; 981.7826; 988.7666; 994.2648;
    1000.3128; 1007.4082; 1013.7536; 1020.3376; 1026.7156; 1031.7478; 1037.4292;
    1045.393; 1051.2278; 1058.3434; 1062.8726; 1071.884; 1076.806; 1082.9176;
    1089.1678; 1095.5032; 1102.525; 1107.2264; 1115.315; 1120.93; 1127.252;
    1134.1496; 1139.0408; 1147.5448; 1153.3296; 1158.1974; 1166.5262; 1174.3328;
    1175.657; 1184.4222; 1190.9172; 1197.1292; 1204.4606; 1210.4578; 1218.8728;
    1225.3336; 1226.6592; 1236.5768; 1241.363; 1249.4074; 1254.6566; 1260.8014;
    1266.5454; 1274.5192; |];
   precision 9
  [| 369.0; 374.8294; 381.2452; 387.6698; 394.1464; 400.2024; 406.8782; 413.6598;
    420.462; 427.2826; 433.7102; 440.7416; 447.9366; 455.1046; 462.285;
    469.0668; 476.306; 483.8448; 491.301; 498.9886; 506.2422; 513.8138;
    521.7074; 529.7428; 537.8402; 545.1664; 553.3534; 561.594; 569.6886;
    577.7876; 585.65; 594.228; 602.8036; 611.1666; 620.0818; 628.0824;
    637.2574; 646.302; 655.1644; 664.0056; 672.3802; 681.7192; 690.5234;
    700.2084; 708.831; 718.485; 728.1112; 737.4764; 746.76; 756.3368; 766.5538;
    775.5058; 785.2646; 795.5902; 804.3818; 814.8998; 824.9532; 835.2062;
    845.2798; 854.4728; 864.9582; 875.3292; 886.171; 896.781; 906.5716; 916.7048;
    927.5322; 937.875; 949.3972; 958.3464; 969.7274; 980.2834; 992.1444;
    1003.4264; 1013.0166; 1024.018; 1035.0438; 1046.34; 1057.6856; 1068.9836;
    1079.0312; 1091.677; 1102.3188; 1113.4846; 1124.4424; 1135.739; 1147.1488;
    1158.9202; 1169.406; 1181.5342; 1193.2834; 1203.8954; 1216.3286; 1226.2146;
    1239.6684; 1251.9946; 1262.123; 1275.4338; 1285.7378; 1296.076; 1308.9692;
    1320.4964; 1333.0998; 1343.9864; 1357.7754; 1368.3208; 1380.4838; 1392.7388;
    1406.0758; 1416.9098; 1428.9728; 1440.9228; 1453.9292; 1462.617; 1476.05;
    1490.2996; 1500.6128; 1513.7392; 1524.5174; 1536.6322; 1548.2584; 1562.3766;
    1572.423; 1587.1232; 1596.5164; 1610.5938; 1622.5972; 1633.1222; 1647.7674;
    1658.5044; 1671.57; 1683.7044; 1695.4142; 1708.7102; 1720.6094; 1732.6522;
    1747.841; 1756.4072; 1769.9786; 1782.3276; 1797.5216; 1808.3186; 1819.0694;
    1834.354; 1844.575; 1856.2808; 1871.1288; 1880.7852; 1893.9622; 1906.3418;
    1920.6548; 1932.9302; 1945.8584; 1955.473; 1968.8248; 1980.6446; 1995.9598;
    2008.349; 2019.8556; 2033.0334; 2044.0206; 2059.3956; 2069.9174; 2082.6084;
    2093.7036; 2106.6108; 2118.9124; 2132.301; 2144.7628; 2159.8422; 2171.0212;
    2183.101; 2193.5112; 2208.052; 2221.3194; 2233.3282; 2247.295; 2257.7222;
    2273.342; 2286.5638; 2299.6786; 2310.8114; 2322.3312; 2335.516; 2349.874;
    2363.5968; 2373.865; 2387.1918; 2401.8328; 2414.8496; 2424.544; 2436.7592;
    2447.1682; 2464.1958; 2474.3438; 2489.0006; 2497.4526; 2513.6586; 2527.19;
    2540.7028; 2553.768; |];
   precision 10
  [| 738.1256; 750.4234; 763.1064; 775.4732; 788.4636; 801.0644; 814.488;
    827.9654; 841.0832; 854.7864; 868.1992; 882.2176; 896.5228; 910.1716;
    924.7752; 938.899; 953.6126; 968.6492; 982.9474; 998.5214; 1013.1064;
    1028.6364; 1044.2468; 1059.4588; 1075.3832; 1091.0584; 1106.8606;
    1123.3868; 1139.5062; 1156.1862; 1172.463; 1189.339; 1206.1936; 1223.1292;
    1240.1854; 1257.2908; 1275.3324; 1292.8518; 1310.5204; 1328.4854;
    1345.9318; 1364.552; 1381.4658; 1400.4256; 1419.849; 1438.152; 1456.8956;
    1474.8792; 1494.118; 1513.62; 1532.5132; 1551.9322; 1570.7726; 1590.6086;
    1610.5332; 1630.5918; 1650.4294; 1669.7662; 1690.4106; 1710.7338; 1730.9012;
    1750.4486; 1770.1556; 1791.6338; 1812.7312; 1833.6264; 1853.9526; 1874.8742;
    1896.8326; 1918.1966; 1939.5594; 1961.07; 1983.037; 2003.1804; 2026.071;
    2047.4884; 2070.0848; 2091.2944; 2114.333; 2135.9626; 2158.2902; 2181.0814;
    2202.0334; 2224.4832; 2246.39; 2269.7202; 2292.1714; 2314.2358; 2338.9346;
    2360.891; 2384.0264; 2408.3834; 2430.1544; 2454.8684; 2476.9896; 2501.4368;
    2522.8702; 2548.0408; 2570.6738; 2593.5208; 2617.0158; 2640.2302; 2664.0962;
    2687.4986; 2714.2588; 2735.3914; 2759.6244; 2781.8378; 2808.0072; 2830.6516;
    2856.2454; 2877.2136; 2903.4546; 2926.785; 2951.2294; 2976.468; 3000.867;
    3023.6508; 3049.91; 3073.5984; 3098.162; 3121.5564; 3146.2328; 3170.9484;
    3195.5902; 3221.3346; 3242.7032; 3271.6112; 3296.5546; 3317.7376; 3345.072;
    3369.9518; 3394.326; 3418.1818; 3444.6926; 3469.086; 3494.2754; 3517.8698;
    3544.248; 3565.3768; 3588.7234; 3616.979; 3643.7504; 3668.6812; 3695.72;
    3719.7392; 3742.6224; 3770.4456; 3795.6602; 3819.9058; 3844.002; 3869.517;
    3895.6824; 3920.8622; 3947.1364; 3973.985; 3995.4772; 4021.62; 4046.628;
    4074.65; 4096.2256; 4121.831; 4146.6406; 4173.276; 4195.0744; 4223.9696;
    4251.3708; 4272.9966; 4300.8046; 4326.302; 4353.1248; 4374.312; 4403.0322;
    4426.819; 4450.0598; 4478.5206; 4504.8116; 4528.8928; 4553.9584; 4578.8712;
    4603.8384; 4632.3872; 4655.5128; 4675.821; 4704.6222; 4731.9862; 4755.4174;
    4781.2628; 4804.332; 4832.3048; 4862.8752; 4883.4148; 4906.9544; 4935.3516;
    4954.3532; 4984.0248; 5011.217; 5035.3258; 5057.3672; 5084.1828; |];
   precision 11
  [| 1477.0; 1501.6014; 1526.5802; 1551.7942; 1577.3042; 1603.2062; 1629.8402;
    1656.2292; 1682.9462; 1709.9926; 1737.3026; 1765.4252; 1793.0578;
    1821.6092; 1849.626; 1878.5568; 1908.527; 1937.5154; 1967.1874; 1997.3878;
    2027.37; 2058.1972; 2089.5728; 2120.1012; 2151.9668; 2183.292; 2216.0772;
    2247.8578; 2280.6562; 2313.041; 2345.714; 2380.3112; 2414.1806; 2447.9854;
    2481.656; 2516.346; 2551.5154; 2586.8378; 2621.7448; 2656.6722; 2693.5722;
    2729.1462; 2765.4124; 2802.8728; 2838.898; 2876.408; 2913.4926; 2951.4938;
    2989.6776; 3026.282; 3065.7704; 3104.1012; 3143.7388; 3181.6876; 3221.1872;
    3261.5048; 3300.0214; 3339.806; 3381.409; 3421.4144; 3461.4294; 3502.2286;
    3544.651; 3586.6156; 3627.337; 3670.083; 3711.1538; 3753.5094; 3797.01;
    3838.6686; 3882.1678; 3922.8116; 3967.9978; 4009.9204; 4054.3286; 4097.5706;
    4140.6014; 4185.544; 4229.5976; 4274.583; 4316.9438; 4361.672; 4406.2786;
    4451.8628; 4496.1834; 4543.505; 4589.1816; 4632.5188; 4678.2294; 4724.8908;
    4769.0194; 4817.052; 4861.4588; 4910.1596; 4956.4344; 5002.5238; 5048.13;
    5093.6374; 5142.8162; 5187.7894; 5237.3984; 5285.6078; 5331.0858; 5379.1036;
    5428.6258; 5474.6018; 5522.7618; 5571.5822; 5618.59; 5667.9992; 5714.88;
    5763.454; 5808.6982; 5860.3644; 5910.2914; 5953.571; 6005.9232; 6055.1914;
    6104.5882; 6154.5702; 6199.7036; 6251.1764; 6298.7596; 6350.0302; 6398.061;
    6448.4694; 6495.933; 6548.0474; 6597.7166; 6646.9416; 6695.9208; 6742.6328;
    6793.5276; 6842.1934; 6894.2372; 6945.3864; 6996.9228; 7044.2372; 7094.1374;
    7142.2272; 7192.2942; 7238.8338; 7288.9006; 7344.0908; 7394.8544; 7443.5176;
    7490.4148; 7542.9314; 7595.6738; 7641.9878; 7694.3688; 7743.0448; 7797.522;
    7845.53; 7899.594; 7950.3132; 7996.455; 8050.9442; 8092.9114; 8153.1374;
    8197.4472; 8252.8278; 8301.8728; 8348.6776; 8401.4698; 8453.551; 8504.6598;
    8553.8944; 8604.1276; 8657.6514; 8710.3062; 8758.908; 8807.8706; 8862.1702;
    8910.4668; 8960.77; 9007.2766; 9063.164; 9121.0534; 9164.1354; 9218.1594;
    9267.767; 9319.0594; 9372.155; 9419.7126; 9474.3722; 9520.1338; 9572.368;
    9622.7702; 9675.8448; 9726.5396; 9778.7378; 9827.6554; 9878.1922;
    9928.7782; 9978.3984; 10026.578; 10076.5626; 10137.1618; 10177.5244;
    10229.9176; |];
   precision 12
  [| 2954.0; 3003.4782; 3053.3568; 3104.3666; 3155.324; 3206.9598; 3259.648;
    3312.539; 3366.1474; 3420.2576; 3474.8376; 3530.6076; 3586.451; 3643.38;
    3700.4104; 3757.5638; 3815.9676; 3875.193; 3934.838; 3994.8548; 4055.018;
    4117.1742; 4178.4482; 4241.1294; 4304.4776; 4367.4044; 4431.8724;
    4496.3732; 4561.4304; 4627.5326; 4693.949; 4761.5532; 4828.7256; 4897.6182;
    4965.5186; 5034.4528; 5104.865; 5174.7164; 5244.6828; 5316.6708; 5387.8312;
    5459.9036; 5532.476; 5604.8652; 5679.6718; 5753.757; 5830.2072; 5905.2828;
    5980.0434; 6056.6264; 6134.3192; 6211.5746; 6290.0816; 6367.1176; 6447.9796;
    6526.5576; 6606.1858; 6686.9144; 6766.1142; 6847.0818; 6927.9664; 7010.9096;
    7091.0816; 7175.3962; 7260.3454; 7344.018; 7426.4214; 7511.3106; 7596.0686;
    7679.8094; 7765.818; 7852.4248; 7936.834; 8022.363; 8109.5066; 8200.4554;
    8288.5832; 8373.366; 8463.4808; 8549.7682; 8642.0522; 8728.3288; 8820.9528;
    8907.727; 9001.0794; 9091.2522; 9179.988; 9269.852; 9362.6394; 9453.642;
    9546.9024; 9640.6616; 9732.6622; 9824.3254; 9917.7484; 10007.9392;
    10106.7508; 10196.2152; 10289.8114; 10383.5494; 10482.3064; 10576.8734;
    10668.7872; 10764.7156; 10862.0196; 10952.793; 11049.9748; 11146.0702;
    11241.4492; 11339.2772; 11434.2336; 11530.741; 11627.6136; 11726.311;
    11821.5964; 11918.837; 12015.3724; 12113.0162; 12213.0424; 12306.9804;
    12408.4518; 12504.8968; 12604.586; 12700.9332; 12798.705; 12898.5142;
    12997.0488; 13094.788; 13198.475; 13292.7764; 13392.9698; 13486.8574;
    13590.1616; 13686.5838; 13783.6264; 13887.2638; 13992.0978; 14081.0844;
    14189.9956; 14280.0912; 14382.4956; 14486.4384; 14588.1082; 14686.2392;
    14782.276; 14888.0284; 14985.1864; 15088.8596; 15187.0998; 15285.027;
    15383.6694; 15495.8266; 15591.3736; 15694.2008; 15790.3246; 15898.4116;
    15997.4522; 16095.5014; 16198.8514; 16291.7492; 16402.6424; 16499.1266;
    16606.2436; 16697.7186; 16796.3946; 16902.3376; 17005.7672; 17100.814;
    17206.8282; 17305.8262; 17416.0744; 17508.4092; 17617.0178; 17715.4554;
    17816.758; 17920.1748; 18012.9236; 18119.7984; 18223.2248; 18324.2482;
    18426.6276; 18525.0932; 18629.8976; 18733.2588; 18831.0466; 18940.1366;
    19032.2696; 19131.729; 19243.4864; 19349.6932; 19442.866; 19547.9448;
    19653.2798; 19754.4034; 19854.0692; 19965.1224; 20065.1774; 20158.2212;
    20253.353; 20366.3264; 20463.22; |];
   precision 13
  [| 5908.5052; 6007.2672; 6107.347; 6208.5794; 6311.2622; 6414.5514; 6519.3376;
    6625.6952; 6732.5988; 6841.3552; 6950.5972; 7061.3082; 7173.5646; 7287.109;
    7401.8216; 7516.4344; 7633.3802; 7751.2962; 7870.3784; 7990.292; 8110.79;
    8233.4574; 8356.6036; 8482.2712; 8607.7708; 8735.099; 8863.1858; 8993.4746;
    9123.8496; 9255.6794; 9388.5448; 9522.7516; 9657.3106; 9792.6094;
    9930.5642; 10068.794; 10206.7256; 10347.81; 10490.3196; 10632.0778;
    10775.9916; 10920.4662; 11066.124; 11213.073; 11358.0362; 11508.1006;
    11659.1716; 11808.7514; 11959.4884; 12112.1314; 12265.037; 12420.3756;
    12578.933; 12734.311; 12890.0006; 13047.2144; 13207.3096; 13368.5144;
    13528.024; 13689.847; 13852.7528; 14018.3168; 14180.5372; 14346.9668;
    14513.5074; 14677.867; 14846.2186; 15017.4186; 15184.9716; 15356.339;
    15529.2972; 15697.3578; 15871.8686; 16042.187; 16216.4094; 16389.4188;
    16565.9126; 16742.3272; 16919.0042; 17094.7592; 17273.965; 17451.8342;
    17634.4254; 17810.5984; 17988.9242; 18171.051; 18354.7938; 18539.466;
    18721.0408; 18904.9972; 19081.867; 19271.9118; 19451.8694; 19637.9816;
    19821.2922; 20013.1292; 20199.3858; 20387.8726; 20572.9514; 20770.7764;
    20955.1714; 21144.751; 21329.9952; 21520.709; 21712.7016; 21906.3868;
    22096.2626; 22286.0524; 22475.051; 22665.5098; 22862.8492; 23055.5294;
    23249.6138; 23437.848; 23636.273; 23826.093; 24020.3296; 24213.3896;
    24411.7392; 24602.9614; 24805.7952; 24998.1552; 25193.9588; 25389.0166;
    25585.8392; 25780.6976; 25981.2728; 26175.977; 26376.5252; 26570.1964;
    26773.387; 26962.9812; 27163.0586; 27368.164; 27565.0534; 27758.7428;
    27961.1276; 28163.2324; 28362.3816; 28565.7668; 28758.644; 28956.9768;
    29163.4722; 29354.7026; 29561.1186; 29767.9948; 29959.9986; 30164.0492;
    30366.9818; 30562.5338; 30762.9928; 30976.1592; 31166.274; 31376.722;
    31570.3734; 31770.809; 31974.8934; 32179.5286; 32387.5442; 32582.3504;
    32794.076; 32989.9528; 33191.842; 33392.4684; 33595.659; 33801.8672;
    34000.3414; 34200.0922; 34402.6792; 34610.0638; 34804.0084; 35011.13;
    35218.669; 35418.6634; 35619.0792; 35830.6534; 36028.4966; 36229.7902;
    36438.6422; 36630.7764; 36833.3102; 37048.6728; 37247.3916; 37453.5904;
    37669.3614; 37854.5526; 38059.305; 38268.0936; 38470.2516; 38674.7064;
    38876.167; 39068.3794; 39281.9144; 39492.8566; 39684.8628; 39898.4108;
    40093.1836; 40297.6858; 40489.7086; 40717.2424; |];
   precision 14
  [| 11817.475; 12015.0046; 12215.3792; 12417.7504; 12623.1814; 12830.0086;
    13040.0072; 13252.503; 13466.178; 13683.2738; 13902.0344; 14123.9798;
    14347.394; 14573.7784; 14802.6894; 15033.6824; 15266.9134; 15502.8624;
    15741.4944; 15980.7956; 16223.8916; 16468.6316; 16715.733; 16965.5726;
    17217.204; 17470.666; 17727.8516; 17986.7886; 18247.6902; 18510.9632;
    18775.304; 19044.7486; 19314.4408; 19587.202; 19862.2576; 20135.924;
    20417.0324; 20697.9788; 20979.6112; 21265.0274; 21550.723; 21841.6906;
    22132.162; 22428.1406; 22722.127; 23020.5606; 23319.7394; 23620.4014;
    23925.2728; 24226.9224; 24535.581; 24845.505; 25155.9618; 25470.3828;
    25785.9702; 26103.7764; 26420.4132; 26742.0186; 27062.8852; 27388.415;
    27714.6024; 28042.296; 28365.4494; 28701.1526; 29031.8008; 29364.2156;
    29704.497; 30037.1458; 30380.111; 30723.8168; 31059.5114; 31404.9498;
    31751.6752; 32095.2686; 32444.7792; 32794.767; 33145.204; 33498.4226;
    33847.6502; 34209.006; 34560.849; 34919.4838; 35274.9778; 35635.1322;
    35996.3266; 36359.1394; 36722.8266; 37082.8516; 37447.7354; 37815.9606;
    38191.0692; 38559.4106; 38924.8112; 39294.6726; 39663.973; 40042.261;
    40416.2036; 40779.2036; 41161.6436; 41540.9014; 41921.1998; 42294.7698;
    42678.5264; 43061.3464; 43432.375; 43818.432; 44198.6598; 44583.0138;
    44970.4794; 45353.924; 45729.858; 46118.2224; 46511.5724; 46900.7386;
    47280.6964; 47668.1472; 48055.6796; 48446.9436; 48838.7146; 49217.7296;
    49613.7796; 50010.7508; 50410.0208; 50793.7886; 51190.2456; 51583.1882;
    51971.0796; 52376.5338; 52763.319; 53165.5534; 53556.5594; 53948.2702;
    54346.352; 54748.7914; 55138.577; 55543.4824; 55941.1748; 56333.7746;
    56745.1552; 57142.7944; 57545.2236; 57935.9956; 58348.5268; 58737.5474;
    59158.5962; 59542.6896; 59958.8004; 60349.3788; 60755.0212; 61147.6144;
    61548.194; 61946.0696; 62348.6042; 62763.603; 63162.781; 63560.635;
    63974.3482; 64366.4908; 64771.5876; 65176.7346; 65597.3916; 65995.915;
    66394.0384; 66822.9396; 67203.6336; 67612.2032; 68019.0078; 68420.0388;
    68821.22; 69235.8388; 69640.0724; 70055.155; 70466.357; 70863.4266;
    71276.2482; 71677.0306; 72080.2006; 72493.0214; 72893.5952; 73314.5856;
    73714.9852; 74125.3022; 74521.2122; 74933.6814; 75341.5904; 75743.0244;
    76166.0278; 76572.1322; 76973.1028; 77381.6284; 77800.6092; 78189.328;
    78607.0962; 79012.2508; 79407.8358; 79825.725; 80238.701; 80646.891;
    81035.6436; 81460.0448; 81876.3884; |];
   precision 15
  [| 23635.0036; 24030.8034; 24431.4744; 24837.1524; 25246.7928; 25661.326;
    26081.3532; 26505.2806; 26933.9892; 27367.7098; 27805.318; 28248.799;
    28696.4382; 29148.8244; 29605.5138; 30066.8668; 30534.2344; 31006.32;
    31480.778; 31962.2418; 32447.3324; 32938.0232; 33432.731; 33930.728;
    34433.9896; 34944.1402; 35457.5588; 35974.5958; 36497.3296; 37021.9096;
    37554.326; 38088.0826; 38628.8816; 39171.3192; 39723.2326; 40274.5554;
    40832.3142; 41390.613; 41959.5908; 42532.5466; 43102.0344; 43683.5072;
    44266.694; 44851.2822; 45440.7862; 46038.0586; 46640.3164; 47241.064;
    47846.155; 48454.7396; 49076.9168; 49692.542; 50317.4778; 50939.65;
    51572.5596; 52210.2906; 52843.7396; 53481.3996; 54127.236; 54770.406;
    55422.6598; 56078.7958; 56736.7174; 57397.6784; 58064.5784; 58730.308;
    59404.9784; 60077.0864; 60751.9158; 61444.1386; 62115.817; 62808.7742;
    63501.4774; 64187.5454; 64883.6622; 65582.7468; 66274.5318; 66976.9276;
    67688.7764; 68402.138; 69109.6274; 69822.9706; 70543.6108; 71265.5202;
    71983.3848; 72708.4656; 73433.384; 74158.4664; 74896.4868; 75620.9564;
    76362.1434; 77098.3204; 77835.7662; 78582.6114; 79323.9902; 80067.8658;
    80814.9246; 81567.0136; 82310.8536; 83061.9952; 83821.4096; 84580.8608;
    85335.547; 86092.5802; 86851.6506; 87612.311; 88381.2016; 89146.3296;
    89907.8974; 90676.846; 91451.4152; 92224.5518; 92995.8686; 93763.5066;
    94551.2796; 95315.1944; 96096.1806; 96881.0918; 97665.679; 98442.68;
    99229.3002; 100011.0994; 100790.6386; 101580.1564; 102377.7484;
    103152.1392; 103944.2712; 104730.216; 105528.6336; 106324.9398;
    107117.6706; 107890.3988; 108695.2266; 109485.238; 110294.7876;
    111075.0958; 111878.0496; 112695.2864; 113464.5486; 114270.0474;
    115068.608; 115884.3626; 116673.2588; 117483.3716; 118275.097; 119085.4092;
    119879.2808; 120687.5868; 121499.9944; 122284.916; 123095.9254;
    123912.5038; 124709.0454; 125503.7182; 126323.259; 127138.9412;
    127943.8294; 128755.646; 129556.5354; 130375.3298; 131161.4734;
    131971.1962; 132787.5458; 133588.1056; 134431.351; 135220.2906; 136023.398;
    136846.6558; 137667.0004; 138463.663; 139283.7154; 140074.6146;
    140901.3072; 141721.8548; 142543.2322; 143356.1096; 144173.7412;
    144973.0948; 145794.3162; 146609.5714; 147420.003; 148237.9784;
    149050.5696; 149854.761; 150663.1966; 151494.0754; 152313.1416;
    153112.6902; 153935.7206; 154746.9262; 155559.547; 156401.9746;
    157228.7036; 158008.7254; 158820.75; 159646.9184; 160470.4458; 161279.5348;
    162093.3114; 162918.542; 163729.2842; |];
   precision 16
  [| 47271.0; 48062.3584; 48862.7074; 49673.152; 50492.8416; 51322.9514; 52161.03;
    53009.407; 53867.6348; 54734.206; 55610.5144; 56496.2096; 57390.795;
    58297.268; 59210.6448; 60134.665; 61068.0248; 62010.4472; 62962.5204;
    63923.5742; 64895.0194; 65876.4182; 66862.6136; 67862.6968; 68868.8908;
    69882.8544; 70911.271; 71944.0924; 72990.0326; 74040.692; 75100.6336;
    76174.7826; 77252.5998; 78340.2974; 79438.2572; 80545.4976; 81657.2796;
    82784.6336; 83915.515; 85059.7362; 86205.9368; 87364.4424; 88530.3358;
    89707.3744; 90885.9638; 92080.197; 93275.5738; 94479.391; 95695.918;
    96919.2236; 98148.4602; 99382.3474; 100625.6974; 101878.0284; 103141.6278;
    104409.4588; 105686.2882; 106967.5402; 108261.6032; 109548.1578; 110852.0728;
    112162.231; 113479.0072; 114806.2626; 116137.9072; 117469.5048; 118813.5186;
    120165.4876; 121516.2556; 122875.766; 124250.5444; 125621.2222; 127003.2352;
    128387.848; 129775.2644; 131181.7776; 132577.3086; 133979.9458; 135394.1132;
    136800.9078; 138233.217; 139668.5308; 141085.212; 142535.2122; 143969.0684;
    145420.2872; 146878.1542; 148332.7572; 149800.3202; 151269.66; 152743.6104;
    154213.0948; 155690.288; 157169.4246; 158672.1756; 160160.059; 161650.6854;
    163145.7772; 164645.6726; 166159.1952; 167682.1578; 169177.3328;
    170700.0118; 172228.8964; 173732.6664; 175265.5556; 176787.799; 178317.111;
    179856.6914; 181400.865; 182943.4612; 184486.742; 186033.4698; 187583.7886;
    189148.1868; 190688.4526; 192250.1926; 193810.9042; 195354.2972;
    196938.7682; 198493.5898; 200079.2824; 201618.912; 203205.5492;
    204765.5798; 206356.1124; 207929.3064; 209498.7196; 211086.229;
    212675.1324; 214256.7892; 215826.2392; 217412.8474; 218995.6724;
    220618.6038; 222207.1166; 223781.0364; 225387.4332; 227005.7928;
    228590.4336; 230217.8738; 231805.1054; 233408.9; 234995.3432; 236601.4956;
    238190.7904; 239817.2548; 241411.2832; 243002.4066; 244640.1884;
    246255.3128; 247849.3508; 249479.9734; 251106.8822; 252705.027;
    254332.9242; 255935.129; 257526.9014; 259154.772; 260777.625; 262390.253;
    264004.4906; 265643.59; 267255.4076; 268873.426; 270470.7252; 272106.4804;
    273722.4456; 275337.794; 276945.7038; 278592.9154; 280204.3726;
    281841.1606; 283489.171; 285130.1716; 286735.3362; 288364.7164;
    289961.1814; 291595.5524; 293285.683; 294899.6668; 296499.3434;
    298128.0462; 299761.8946; 301394.2424; 302997.6748; 304615.1478;
    306269.7724; 307886.114; 309543.1028; 311153.2862; 312782.8546;
    314421.2008; 316033.2438; 317692.9636; 319305.2648; 320948.7406;
    322566.3364; 324228.4224; 325847.1542; |];
   precision 17
  [| 94542.0; 96125.811; 97728.019; 99348.558; 100987.9705; 102646.7565;
    104324.5125; 106021.7435; 107736.7865; 109469.272; 111223.9465; 112995.219;
    114787.432; 116593.152; 118422.71; 120267.2345; 122134.6765; 124020.937;
    125927.2705; 127851.255; 129788.9485; 131751.016; 133726.8225; 135722.592;
    137736.789; 139770.568; 141821.518; 143891.343; 145982.1415; 148095.387;
    150207.526; 152355.649; 154515.6415; 156696.05; 158887.7575; 161098.159;
    163329.852; 165569.053; 167837.4005; 170121.6165; 172420.4595; 174732.6265;
    177062.77; 179412.502; 181774.035; 184151.939; 186551.6895; 188965.691;
    191402.8095; 193857.949; 196305.0775; 198774.6715; 201271.2585; 203764.78;
    206299.3695; 208818.1365; 211373.115; 213946.7465; 216532.076; 219105.541;
    221714.5375; 224337.5135; 226977.5125; 229613.0655; 232270.2685; 234952.2065;
    237645.3555; 240331.1925; 243034.517; 245756.0725; 248517.6865; 251232.737;
    254011.3955; 256785.995; 259556.44; 262368.335; 265156.911; 267965.266;
    270785.583; 273616.0495; 276487.4835; 279346.639; 282202.509; 285074.3885;
    287942.2855; 290856.018; 293774.0345; 296678.5145; 299603.6355;
    302552.6575; 305492.9785; 308466.8605; 311392.581; 314347.538; 317319.4295;
    320285.9785; 323301.7325; 326298.3235; 329301.3105; 332301.987; 335309.791;
    338370.762; 341382.923; 344431.1265; 347464.1545; 350507.28; 353619.2345;
    356631.2005; 359685.203; 362776.7845; 365886.488; 368958.2255; 372060.6825;
    375165.4335; 378237.935; 381328.311; 384430.5225; 387576.425; 390683.242;
    393839.648; 396977.8425; 400101.9805; 403271.296; 406409.8425; 409529.5485;
    412678.7; 415847.423; 419020.8035; 422157.081; 425337.749; 428479.6165;
    431700.902; 434893.1915; 438049.582; 441210.5415; 444379.2545; 447577.356;
    450741.931; 453959.548; 457137.0935; 460329.846; 463537.4815; 466732.3345;
    469960.5615; 473164.681; 476347.6345; 479496.173; 482813.1645; 486025.6995;
    489249.4885; 492460.1945; 495675.8805; 498908.0075; 502131.802;
    505374.3855; 508550.9915; 511806.7305; 515026.776; 518217.0005;
    521523.9855; 524705.9855; 527950.997; 531210.0265; 534472.497; 537750.7315;
    540926.922; 544207.094; 547429.4345; 550666.3745; 553975.3475; 557150.7185;
    560399.6165; 563662.697; 566916.7395; 570146.1215; 573447.425; 576689.6245;
    579874.5745; 583202.337; 586503.0255; 589715.635; 592910.161; 596214.3885;
    599488.035; 602740.92; 605983.0685; 609248.67; 612491.3605; 615787.912;
    619107.5245; 622307.9555; 625577.333; 628840.4385; 632085.2155;
    635317.6135; 638691.7195; 641887.467; 645139.9405; 648441.546; 651666.252;
    654941.845; |];
   precision 18
  [| 189084.0; 192250.913; 195456.774; 198696.946; 201977.762; 205294.444;
    208651.754; 212042.099; 215472.269; 218941.91; 222443.912; 225996.845;
    229568.199; 233193.568; 236844.457; 240543.233; 244279.475; 248044.27;
    251854.588; 255693.2; 259583.619; 263494.621; 267445.385; 271454.061;
    275468.769; 279549.456; 283646.446; 287788.198; 291966.099; 296181.164;
    300431.469; 304718.618; 309024.004; 313393.508; 317760.803; 322209.731;
    326675.061; 331160.627; 335654.47; 340241.442; 344841.833; 349467.132;
    354130.629; 358819.432; 363574.626; 368296.587; 373118.482; 377914.93;
    382782.301; 387680.669; 392601.981; 397544.323; 402529.115; 407546.018;
    412593.658; 417638.657; 422762.865; 427886.169; 433017.167; 438213.273;
    443441.254; 448692.421; 453937.533; 459239.049; 464529.569; 469910.083;
    475274.03; 480684.473; 486070.26; 491515.237; 496995.651; 502476.617;
    507973.609; 513497.19; 519083.233; 524726.509; 530305.505; 535945.728;
    541584.404; 547274.055; 552967.236; 558667.862; 564360.216; 570128.148;
    575965.08; 581701.952; 587532.523; 593361.144; 599246.128; 605033.418;
    610958.779; 616837.117; 622772.818; 628672.04; 634675.369; 640574.831;
    646585.739; 652574.547; 658611.217; 664642.684; 670713.914; 676737.681;
    682797.313; 688837.897; 694917.874; 701009.882; 707173.648; 713257.254;
    719415.392; 725636.761; 731710.697; 737906.209; 744103.074; 750313.39;
    756504.185; 762712.579; 768876.985; 775167.859; 781359.0; 787615.959;
    793863.597; 800245.477; 806464.582; 812785.294; 819005.925; 825403.057;
    831676.197; 837936.284; 844266.968; 850642.711; 856959.756; 863322.774;
    869699.931; 876102.478; 882355.787; 888694.463; 895159.952; 901536.143;
    907872.631; 914293.672; 920615.14; 927130.974; 933409.404; 939922.178;
    946331.47; 952745.93; 959209.264; 965590.224; 972077.284; 978501.961;
    984953.19; 991413.271; 997817.479; 1004222.658; 1010725.676; 1017177.138;
    1023612.529; 1030098.236; 1036493.719; 1043112.207; 1049537.036;
    1056008.096; 1062476.184; 1068942.337; 1075524.95; 1081932.864;
    1088426.025; 1094776.005; 1101327.448; 1107901.673; 1114423.639;
    1120884.602; 1127324.923; 1133794.24; 1140328.886; 1146849.376;
    1153346.682; 1159836.502; 1166478.703; 1172953.304; 1179391.502;
    1185950.982; 1192544.052; 1198913.41; 1205430.994; 1212015.525;
    1218674.042; 1225121.683; 1231551.101; 1238126.379; 1244673.795;
    1251260.649; 1257697.86; 1264320.983; 1270736.319; 1277274.694; 1283804.95;
    1290211.514; 1296858.568; 1303455.691; |]
|]


let bias_data = [|
   precision 4
  [| 10.0; 9.717; 9.207; 8.7896; 8.2882; 7.8204; 7.3772; 6.9342; 6.5202; 6.161;
    5.7722; 5.4636; 5.0396; 4.6766; 4.3566; 4.0454; 3.7936; 3.4856; 3.2666;
    2.9946; 2.766; 2.4692; 2.3638; 2.0764; 1.7864; 1.7602; 1.4814; 1.433;
    1.2926; 1.0664; 0.999600000000001; 0.7956; 0.5366; 0.589399999999998;
    0.573799999999999; 0.269799999999996; 0.368200000000002;
    0.0544000000000011; 0.234200000000001; 0.0108000000000033;
    -0.203400000000002; -0.0701999999999998; -0.129600000000003;
    -0.364199999999997; -0.480600000000003; -0.226999999999997;
    -0.322800000000001; -0.382599999999996; -0.511200000000002;
    -0.669600000000003; -0.749400000000001; -0.500399999999999;
    -0.617600000000003; -0.6922; -0.601599999999998; -0.416200000000003;
    -0.338200000000001; -0.782600000000002; -0.648600000000002;
    -0.919800000000002; -0.851799999999997; -0.962400000000002; -0.6402;
    -1.1922; -1.0256; -1.086; -1.21899999999999; -0.819400000000002;
    -0.940600000000003; -1.1554; -1.2072; -1.1752; -1.16759999999999;
    -1.14019999999999; -1.3754; -1.29859999999999; -1.607; -1.3292; -1.7606; |];
   precision 5
  [| 22.0; 21.1194; 20.8208; 20.2318; 19.77; 19.2436; 18.7774; 18.2848; 17.8224;
    17.3742; 16.9336; 16.503; 16.0494; 15.6292; 15.2124; 14.798; 14.367;
    13.9728; 13.5944; 13.217; 12.8438; 12.3696; 12.0956; 11.7044; 11.324;
    11.0668; 10.6698; 10.3644; 10.049; 9.6918; 9.4146; 9.082; 8.687; 8.5398;
    8.2462; 7.857; 7.6606; 7.4168; 7.1248; 6.9222; 6.6804; 6.447; 6.3454;
    5.9594; 5.7636; 5.5776; 5.331; 5.19; 4.9676; 4.7564; 4.5314; 4.4442;
    4.3708; 3.9774; 3.9624; 3.8796; 3.755; 3.472; 3.2076; 3.1024; 2.8908;
    2.7338; 2.7728; 2.629; 2.413; 2.3266; 2.1524; 2.2642; 2.1806; 2.0566;
    1.9192; 1.7598; 1.3516; 1.5802; 1.43859999999999; 1.49160000000001; 1.1524;
    1.1892; 0.841399999999993; 0.879800000000003; 0.837599999999995;
    0.469800000000006; 0.765600000000006; 0.331000000000003; 0.591399999999993;
    0.601200000000006; 0.701599999999999; 0.558199999999999; 0.339399999999998;
    0.354399999999998; 0.491200000000006; 0.308000000000007; 0.355199999999996;
    -0.0254000000000048; 0.205200000000005; -0.272999999999996;
    0.132199999999997; 0.394400000000005; -0.241200000000006;
    0.242000000000004; 0.191400000000002; 0.253799999999998;
    -0.122399999999999; -0.370800000000003; 0.193200000000004;
    -0.0848000000000013; 0.0867999999999967; -0.327200000000005;
    -0.285600000000002; 0.311400000000006; -0.128399999999999;
    -0.754999999999995; -0.209199999999996; -0.293599999999998;
    -0.364000000000004; -0.253600000000006; -0.821200000000005;
    -0.253600000000006; -0.510400000000004; -0.383399999999995;
    -0.491799999999998; -0.220200000000006; -0.0972000000000008;
    -0.557400000000001; -0.114599999999996; -0.295000000000002;
    -0.534800000000004; 0.346399999999988; -0.65379999999999;
    0.0398000000000138; 0.0341999999999985; -0.995800000000003;
    -0.523400000000009; -0.489000000000004; -0.274799999999999;
    -0.574999999999989; -0.482799999999997; 0.0571999999999946;
    -0.330600000000004; -0.628800000000012; -0.140199999999993;
    -0.540600000000012; -0.445999999999998; -0.599400000000003;
    -0.262599999999992; 0.163399999999996; -0.100599999999986;
    -0.39500000000001; -1.06960000000001; -0.836399999999998;
    -0.753199999999993; -0.412399999999991; -0.790400000000005;
    -0.29679999999999; -0.28540000000001; -0.193000000000012; -0.0772000000000048;
    -0.962799999999987; -0.414800000000014; |];
   precision 6
  [| 45.0; 44.1902; 43.271; 42.8358; 41.8142; 41.2854; 40.317; 39.354; 38.8924;
    37.9436; 37.4596; 36.5262; 35.6248; 35.1574; 34.2822; 33.837; 32.9636;
    32.074; 31.7042; 30.7976; 30.4772; 29.6564; 28.7942; 28.5004; 27.686;
    27.291; 26.5672; 25.8556; 25.4982; 24.8204; 24.4252; 23.7744; 23.0786;
    22.8344; 22.0294; 21.8098; 21.0794; 20.5732; 20.1878; 19.5648; 19.2902;
    18.6784; 18.3352; 17.8946; 17.3712; 17.0852; 16.499; 16.2686; 15.6844;
    15.2234; 14.9732; 14.3356; 14.2286; 13.7262; 13.3284; 13.1048; 12.5962;
    12.3562; 12.1272; 11.4184; 11.4974; 11.0822; 10.856; 10.48; 10.2834;
    10.0208; 9.637; 9.51739999999999; 9.05759999999999; 8.74760000000001;
    8.42700000000001; 8.1326; 8.2372; 8.2788; 7.6776; 7.79259999999999; 7.1952;
    6.9564; 6.6454; 6.87; 6.5428; 6.19999999999999; 6.02940000000001;
    5.62780000000001; 5.6782; 5.792; 5.35159999999999; 5.28319999999999;
    5.0394; 5.07480000000001; 4.49119999999999; 4.84899999999999; 4.696;
    4.54040000000001; 4.07300000000001; 4.37139999999999; 3.7216; 3.7328;
    3.42080000000001; 3.41839999999999; 3.94239999999999; 3.27719999999999;
    3.411; 3.13079999999999; 2.76900000000001; 2.92580000000001;
    2.68279999999999; 2.75020000000001; 2.70599999999999; 2.3886;
    3.01859999999999; 2.45179999999999; 2.92699999999999; 2.41720000000001;
    2.41139999999999; 2.03299999999999; 2.51240000000001; 2.5564;
    2.60079999999999; 2.41720000000001; 1.80439999999999; 1.99700000000001;
    2.45480000000001; 1.8948; 2.2346; 2.30860000000001; 2.15479999999999;
    1.88419999999999; 1.6508; 0.677199999999999; 1.72540000000001; 1.4752;
    1.72280000000001; 1.66139999999999; 1.16759999999999; 1.79300000000001;
    1.00059999999999; 0.905200000000008; 0.659999999999997; 1.55879999999999;
    1.1636; 0.688199999999995; 0.712600000000009; 0.450199999999995; 1.1978;
    0.975599999999986; 0.165400000000005; 1.727; 1.19739999999999;
    -0.252600000000001; 1.13460000000001; 1.3048; 1.19479999999999;
    0.313400000000001; 0.878999999999991; 1.12039999999999; 0.853000000000009;
    1.67920000000001; 0.856999999999999; 0.448599999999999; 1.2362;
    0.953399999999988; 1.02859999999998; 0.563199999999995; 0.663000000000011;
    0.723000000000013; 0.756599999999992; 0.256599999999992; -0.837600000000009;
    0.620000000000005; 0.821599999999989; 0.216600000000028; 0.205600000000004;
    0.220199999999977; 0.372599999999977; 0.334400000000016; 0.928400000000011;
    0.972800000000007; 0.192400000000021; 0.487199999999973; -0.413000000000011;
    0.807000000000016; 0.120600000000024; 0.769000000000005; 0.870799999999974;
    0.66500000000002; 0.118200000000002; 0.401200000000017; 0.635199999999998;
    0.135400000000004; 0.175599999999974; 1.16059999999999; 0.34620000000001;
    0.521400000000028; -0.586599999999976; -1.16480000000001; 0.968399999999974;
    0.836999999999989; 0.779600000000016; 0.985799999999983; |];
   precision 7
  [| 91.0; 89.4934; 87.9758; 86.4574; 84.9718; 83.4954; 81.5302; 80.0756;
    78.6374; 77.1782; 75.7888; 73.9522; 72.592; 71.2532; 69.9086; 68.5938;
    66.9474; 65.6796; 64.4394; 63.2176; 61.9768; 60.4214; 59.2528; 58.0102;
    56.8658; 55.7278; 54.3044; 53.1316; 52.093; 51.0032; 49.9092; 48.6306;
    47.5294; 46.5756; 45.6508; 44.662; 43.552; 42.3724; 41.617; 40.5754;
    39.7872; 38.8444; 37.7988; 36.8606; 36.2118; 35.3566; 34.4476; 33.5882;
    32.6816; 32.0824; 31.0258; 30.6048; 29.4436; 28.7274; 27.957; 27.147;
    26.4364; 25.7592; 25.3386; 24.781; 23.8028; 23.656; 22.6544; 21.996;
    21.4718; 21.1544; 20.6098; 19.5956; 19.0616; 18.5758; 18.4878; 17.5244;
    17.2146; 16.724; 15.8722; 15.5198; 15.0414; 14.941; 14.9048; 13.87;
    13.4304; 13.028; 12.4708; 12.37; 12.0624; 11.4668; 11.5532; 11.4352;
    11.2564; 10.2744; 10.2118; 9.74720000000002; 10.1456; 9.2928;
    8.75040000000001; 8.55279999999999; 8.97899999999998; 8.21019999999999;
    8.18340000000001; 7.3494; 7.32499999999999; 7.66140000000001;
    6.90300000000002; 7.25439999999998; 6.9042; 7.21499999999997;
    6.28640000000001; 6.08139999999997; 6.6764; 6.30099999999999;
    5.13900000000001; 5.65800000000002; 5.17320000000001; 4.59019999999998;
    4.9538; 5.08280000000002; 4.92200000000003; 4.99020000000002; 4.7328;
    5.4538; 4.11360000000002; 4.22340000000003; 4.08780000000002;
    3.70800000000003; 4.15559999999999; 4.18520000000001; 3.63720000000001;
    3.68220000000002; 3.77960000000002; 3.6078; 2.49160000000001;
    3.13099999999997; 2.5376; 3.19880000000001; 3.21100000000001; 2.4502;
    3.52820000000003; 2.91199999999998; 3.04480000000001; 2.7432;
    2.85239999999999; 2.79880000000003; 2.78579999999999; 1.88679999999999;
    2.98860000000002; 2.50639999999999; 1.91239999999999; 2.66160000000002;
    2.46820000000002; 1.58199999999999; 1.30399999999997; 2.27379999999999;
    2.68939999999998; 1.32900000000001; 3.10599999999999; 1.69080000000002;
    2.13740000000001; 2.53219999999999; 1.88479999999998; 1.33240000000001;
    1.45119999999997; 1.17899999999997; 2.44119999999998; 1.60659999999996;
    2.16700000000003; 0.77940000000001; 2.37900000000002; 2.06700000000001;
    1.46000000000004; 2.91160000000002; 1.69200000000001; 0.954600000000028;
    2.49300000000005; 2.2722; 1.33500000000004; 2.44899999999996;
    1.20140000000004; 3.07380000000001; 2.09739999999999; 2.85640000000001;
    2.29960000000005; 2.40899999999999; 1.97040000000004; 0.809799999999996;
    1.65279999999996; 2.59979999999996; 0.95799999999997; 2.06799999999998;
    2.32780000000002; 4.20159999999998; 1.96320000000003; 1.86400000000003;
    1.42999999999995; 3.77940000000001; 1.27200000000005; 1.86440000000005;
    2.20600000000002; 3.21900000000005; 1.5154; 2.61019999999996; |];
   precision 8
  [| 183.2152; 180.2454; 177.2096; 173.6652; 170.6312; 167.6822; 164.249;
    161.3296; 158.0038; 155.2074; 152.4612; 149.27; 146.5178; 143.4412;
    140.8032; 138.1634; 135.1688; 132.6074; 129.6946; 127.2664; 124.8228;
    122.0432; 119.6824; 116.9464; 114.6268; 112.2626; 109.8376; 107.4034;
    104.8956; 102.8522; 100.7638; 98.3552; 96.3556; 93.7526; 91.9292;
    89.8954; 87.8198; 85.7668; 83.298; 81.6688; 79.9466; 77.9746; 76.1672;
    74.3474; 72.3028; 70.8912; 69.114; 67.4646; 65.9744; 64.4092; 62.6022;
    60.843; 59.5684; 58.1652; 56.5426; 55.4152; 53.5388; 52.3592; 51.1366;
    49.486; 48.3918; 46.5076; 45.509; 44.3834; 43.3498; 42.0668; 40.7346;
    40.1228; 38.4528; 37.7; 36.644; 36.0518; 34.5774; 33.9068; 32.432; 32.1666;
    30.434; 29.6644; 28.4894; 27.6312; 26.3804; 26.292; 25.5496000000001;
    25.0234; 24.8206; 22.6146; 22.4188; 22.117; 20.6762; 20.6576; 19.7864;
    19.509; 18.5334; 17.9204; 17.772; 16.2924; 16.8654; 15.1836; 15.745;
    15.1316; 15.0386; 14.0136; 13.6342; 12.6196; 12.1866; 12.4281999999999;
    11.3324; 10.4794000000001; 11.5038; 10.129; 9.52800000000002;
    10.3203999999999; 9.46299999999997; 9.79280000000006; 9.12300000000005;
    8.74180000000001; 9.2192; 7.51020000000005; 7.60659999999996;
    7.01840000000004; 7.22239999999999; 7.40139999999997; 6.76179999999999;
    7.14359999999999; 5.65060000000005; 5.63779999999997; 5.76599999999996;
    6.75139999999999; 5.57759999999996; 3.73220000000003; 5.8048;
    5.63019999999995; 4.93359999999996; 3.47979999999995; 4.33879999999999;
    3.98940000000005; 3.81960000000004; 3.31359999999995; 3.23080000000004;
    3.4588; 3.08159999999998; 3.4076; 3.00639999999999; 2.38779999999997;
    2.61900000000003; 1.99800000000005; 3.34820000000002; 2.95060000000001;
    0.990999999999985; 2.11440000000005; 2.20299999999997; 2.82219999999995;
    2.73239999999998; 2.7826; 3.76660000000004; 2.26480000000004;
    2.31280000000004; 2.40819999999997; 2.75360000000001; 3.33759999999995;
    2.71559999999999; 1.7478000000001; 1.42920000000004; 2.39300000000003;
    2.22779999999989; 2.34339999999997; 0.87259999999992; 3.88400000000001;
    1.80600000000004; 1.91759999999999; 1.16779999999994; 1.50320000000011;
    2.52500000000009; 0.226400000000012; 2.31500000000005; 0.930000000000064;
    1.25199999999995; 2.14959999999996; 0.0407999999999902; 2.5447999999999;
    1.32960000000003; 0.197400000000016; 2.52620000000002; 3.33279999999991;
    -1.34300000000007; 0.422199999999975; 0.917200000000093; 1.12920000000008;
    1.46060000000011; 1.45779999999991; 2.8728000000001; 3.33359999999993;
    -1.34079999999994; 1.57680000000005; 0.363000000000056; 1.40740000000005;
    0.656600000000026; 0.801400000000058; -0.454600000000028; 1.51919999999996;
  |];
   precision 9
  [| 368.0; 361.8294; 355.2452; 348.6698; 342.1464; 336.2024; 329.8782;
    323.6598; 317.462; 311.2826; 305.7102; 299.7416; 293.9366; 288.1046;
    282.285; 277.0668; 271.306; 265.8448; 260.301; 254.9886; 250.2422;
    244.8138; 239.7074; 234.7428; 229.8402; 225.1664; 220.3534; 215.594;
    210.6886; 205.7876; 201.65; 197.228; 192.8036; 188.1666; 184.0818;
    180.0824; 176.2574; 172.302; 168.1644; 164.0056; 160.3802; 156.7192;
    152.5234; 149.2084; 145.831; 142.485; 139.1112; 135.4764; 131.76; 129.3368;
    126.5538; 122.5058; 119.2646; 116.5902; 113.3818; 110.8998; 107.9532;
    105.2062; 102.2798; 99.4728; 96.9582; 94.3292; 92.171; 89.7809999999999;
    87.5716; 84.7048; 82.5322; 79.875; 78.3972; 75.3464; 73.7274; 71.2834;
    70.1444; 68.4263999999999; 66.0166; 64.018; 62.0437999999999;
    60.3399999999999; 58.6856; 57.9836; 55.0311999999999; 54.6769999999999;
    52.3188; 51.4846; 49.4423999999999; 47.739; 46.1487999999999; 44.9202;
    43.4059999999999; 42.5342000000001; 41.2834; 38.8954000000001;
    38.3286000000001; 36.2146; 36.6684; 35.9946; 33.123; 33.4338;
    31.7378000000001; 29.076; 28.9692; 27.4964; 27.0998; 25.9864; 26.7754;
    24.3208; 23.4838; 22.7388000000001; 24.0758000000001; 21.9097999999999;
    20.9728; 19.9228000000001; 19.9292; 16.617; 17.05; 18.2996000000001;
    15.6128000000001; 15.7392; 14.5174; 13.6322; 12.2583999999999;
    13.3766000000001; 11.423; 13.1232; 9.51639999999998; 10.5938000000001;
    9.59719999999993; 8.12220000000002; 9.76739999999995; 7.50440000000003;
    7.56999999999994; 6.70440000000008; 6.41419999999994; 6.71019999999999;
    5.60940000000005; 4.65219999999999; 6.84099999999989; 3.4072000000001;
    3.97859999999991; 3.32760000000007; 5.52160000000003; 3.31860000000006;
    2.06940000000009; 4.35400000000004; 1.57500000000005; 0.280799999999999;
    2.12879999999996; -0.214799999999968; -0.0378000000000611; -0.658200000000079;
    0.654800000000023; -0.0697999999999865; 0.858400000000074; -2.52700000000004;
    -2.1751999999999; -3.35539999999992; -1.04019999999991; -0.651000000000067;
    -2.14439999999991; -1.96659999999997; -3.97939999999994;
    -0.604400000000169; -3.08260000000018; -3.39159999999993; -5.29640000000018;
    -5.38920000000007; -5.08759999999984; -4.69900000000007; -5.23720000000003;
    -3.15779999999995; -4.97879999999986; -4.89899999999989; -7.48880000000008;
    -5.94799999999987; -5.68060000000014; -6.67180000000008;
    -4.70499999999993; -7.27779999999984; -4.6579999999999; -4.4362000000001;
    -4.32139999999981; -5.18859999999995; -6.66879999999992; -6.48399999999992;
    -5.1260000000002; -4.4032000000002; -6.13500000000022; -5.80819999999994;
    -4.16719999999987; -4.15039999999999; -7.45600000000013; -7.24080000000004;
    -9.83179999999993; -5.80420000000004; -8.6561999999999; -6.99940000000015;
    -10.5473999999999; -7.34139999999979; -6.80999999999995; -6.29719999999998;
    -6.23199999999997; |];
   precision 10
  [| 737.1256; 724.4234; 711.1064; 698.4732; 685.4636; 673.0644; 660.488;
    647.9654; 636.0832; 623.7864; 612.1992; 600.2176; 588.5228; 577.1716;
    565.7752; 554.899; 543.6126; 532.6492; 521.9474; 511.5214; 501.1064;
    490.6364; 480.2468; 470.4588; 460.3832; 451.0584; 440.8606; 431.3868;
    422.5062; 413.1862; 404.463; 395.339; 386.1936; 378.1292; 369.1854;
    361.2908; 353.3324; 344.8518; 337.5204; 329.4854; 321.9318; 314.552;
    306.4658; 299.4256; 292.849; 286.152; 278.8956; 271.8792; 265.118; 258.62;
    252.5132; 245.9322; 239.7726; 233.6086; 227.5332; 222.5918; 216.4294;
    210.7662; 205.4106; 199.7338; 194.9012; 188.4486; 183.1556; 178.6338;
    173.7312; 169.6264; 163.9526; 159.8742; 155.8326; 151.1966; 147.5594;
    143.07; 140.037; 134.1804; 131.071; 127.4884; 124.0848; 120.2944; 117.333;
    112.9626; 110.2902; 107.0814; 103.0334; 99.4832000000001; 96.3899999999999;
    93.7202000000002; 90.1714000000002; 87.2357999999999; 85.9346;
    82.8910000000001; 80.0264000000002; 78.3834000000002; 75.1543999999999;
    73.8683999999998; 70.9895999999999; 69.4367999999999; 64.8701999999998;
    65.0408000000002; 61.6738; 59.5207999999998; 57.0158000000001; 54.2302;
    53.0962; 50.4985999999999; 52.2588000000001; 47.3914; 45.6244000000002;
    42.8377999999998; 43.0072; 40.6516000000001; 40.2453999999998; 35.2136;
    36.4546; 33.7849999999999; 33.2294000000002; 32.4679999999998;
    30.8670000000002; 28.6507999999999; 28.9099999999999; 27.5983999999999;
    26.1619999999998; 24.5563999999999; 23.2328000000002; 21.9484000000002;
    21.5902000000001; 21.3346000000001; 17.7031999999999; 20.6111999999998;
    19.5545999999999; 15.7375999999999; 17.0720000000001; 16.9517999999998;
    15.326; 13.1817999999998; 14.6925999999999; 13.0859999999998; 13.2754;
    10.8697999999999; 11.248; 7.3768; 4.72339999999986; 7.97899999999981;
    8.7503999999999; 7.68119999999999; 9.7199999999998; 7.73919999999998;
    5.6224000000002; 7.44560000000001; 6.6601999999998; 5.9058;
    4.00199999999995; 4.51699999999983; 4.68240000000014; 3.86220000000003;
    5.13639999999987; 5.98500000000013; 2.47719999999981; 2.61999999999989;
    1.62800000000016; 4.65000000000009; 0.225599999999758; 0.831000000000131;
    -0.359400000000278; 1.27599999999984; -2.92559999999958;
    -0.0303999999996449; 2.37079999999969; -2.0033999999996; 0.804600000000391;
    0.30199999999968; 1.1247999999996; -2.6880000000001; 0.0321999999996478;
    -1.18099999999959; -3.9402; -1.47940000000017; -0.188400000000001;
    -2.10720000000038; -2.04159999999956; -3.12880000000041; -4.16160000000036;
    -0.612799999999879; -3.48719999999958; -8.17900000000009;
    -5.37780000000021; -4.01379999999972; -5.58259999999973; -5.73719999999958;
    -7.66799999999967; -5.69520000000011; -1.1247999999996; -5.58520000000044;
    -8.04560000000038; -4.64840000000004; -11.6468000000004; -7.97519999999986;
    -5.78300000000036; -7.67420000000038; -10.6328000000003; -9.81720000000041;
  |];
   precision 11
  [| 1476.0; 1449.6014; 1423.5802; 1397.7942; 1372.3042; 1347.2062; 1321.8402;
    1297.2292; 1272.9462; 1248.9926; 1225.3026; 1201.4252; 1178.0578;
    1155.6092; 1132.626; 1110.5568; 1088.527; 1066.5154; 1045.1874;
    1024.3878; 1003.37; 982.1972; 962.5728; 942.1012; 922.9668; 903.292;
    884.0772; 864.8578; 846.6562; 828.041; 809.714; 792.3112; 775.1806;
    757.9854; 740.656; 724.346; 707.5154; 691.8378; 675.7448; 659.6722;
    645.5722; 630.1462; 614.4124; 600.8728; 585.898; 572.408; 558.4926;
    544.4938; 531.6776; 517.282; 505.7704; 493.1012; 480.7388; 467.6876;
    456.1872; 445.5048; 433.0214; 420.806; 411.409; 400.4144; 389.4294;
    379.2286; 369.651; 360.6156; 350.337; 342.083; 332.1538; 322.5094; 315.01;
    305.6686; 298.1678; 287.8116; 280.9978; 271.9204; 265.3286; 257.5706;
    249.6014; 242.544; 235.5976; 229.583; 220.9438; 214.672; 208.2786;
    201.8628; 195.1834; 191.505; 186.1816; 178.5188; 172.2294; 167.8908;
    161.0194; 158.052; 151.4588; 148.1596; 143.4344; 138.5238; 133.13;
    127.6374; 124.8162; 118.7894; 117.3984; 114.6078; 109.0858; 105.1036;
    103.6258; 98.6018000000004; 95.7618000000002; 93.5821999999998;
    88.5900000000001; 86.9992000000002; 82.8800000000001; 80.4539999999997;
    74.6981999999998; 74.3644000000004; 73.2914000000001; 65.5709999999999;
    66.9232000000002; 65.1913999999997; 62.5882000000001; 61.5702000000001;
    55.7035999999998; 56.1764000000003; 52.7596000000003; 53.0302000000001;
    49.0609999999997; 48.4694; 44.933; 46.0474000000004; 44.7165999999997;
    41.9416000000001; 39.9207999999999; 35.6328000000003; 35.5276000000003;
    33.1934000000001; 33.2371999999996; 33.3864000000003; 33.9228000000003;
    30.2371999999996; 29.1373999999996; 25.2272000000003; 24.2942000000003;
    19.8338000000003; 18.9005999999999; 23.0907999999999; 21.8544000000002;
    19.5176000000001; 15.4147999999996; 16.9314000000004; 18.6737999999996;
    12.9877999999999; 14.3688000000002; 12.0447999999997; 15.5219999999999;
    12.5299999999997; 14.5940000000001; 14.3131999999996; 9.45499999999993;
    12.9441999999999; 3.91139999999996; 13.1373999999996; 5.44720000000052;
    9.82779999999912; 7.87279999999919; 3.67760000000089; 5.46980000000076;
    5.55099999999948; 5.65979999999945; 3.89439999999922; 3.1275999999998;
    5.65140000000065; 6.3062000000009; 3.90799999999945; 1.87060000000019;
    5.17020000000048; 2.46680000000015; 0.770000000000437; -3.72340000000077;
    1.16400000000067; 8.05340000000069; 0.135399999999208; 2.15940000000046;
    0.766999999999825; 1.0594000000001; 3.15500000000065; -0.287399999999252;
    2.37219999999979; -2.86620000000039; -1.63199999999961; -2.22979999999916;
    -0.15519999999924; -1.46039999999994; -0.262199999999211;
    -2.34460000000036; -2.8078000000005; -3.22179999999935; -5.60159999999996;
    -8.42200000000048; -9.43740000000071; 0.161799999999857; -10.4755999999998;
    -10.0823999999993; |];
   precision 12
  [| 2953.0; 2900.4782; 2848.3568; 2796.3666; 2745.324; 2694.9598; 2644.648;
    2595.539; 2546.1474; 2498.2576; 2450.8376; 2403.6076; 2357.451; 2311.38;
    2266.4104; 2221.5638; 2176.9676; 2134.193; 2090.838; 2048.8548; 2007.018;
    1966.1742; 1925.4482; 1885.1294; 1846.4776; 1807.4044; 1768.8724;
    1731.3732; 1693.4304; 1657.5326; 1621.949; 1586.5532; 1551.7256;
    1517.6182; 1483.5186; 1450.4528; 1417.865; 1385.7164; 1352.6828;
    1322.6708; 1291.8312; 1260.9036; 1231.476; 1201.8652; 1173.6718; 1145.757;
    1119.2072; 1092.2828; 1065.0434; 1038.6264; 1014.3192; 988.5746; 965.0816;
    940.1176; 917.9796; 894.5576; 871.1858; 849.9144; 827.1142; 805.0818;
    783.9664; 763.9096; 742.0816; 724.3962; 706.3454; 688.018; 667.4214;
    650.3106; 633.0686; 613.8094; 597.818; 581.4248; 563.834; 547.363;
    531.5066; 520.455400000001; 505.583199999999; 488.366; 476.480799999999;
    459.7682; 450.0522; 434.328799999999; 423.952799999999; 408.727000000001;
    399.079400000001; 387.252200000001; 373.987999999999; 360.852000000001;
    351.6394; 339.642; 330.902400000001; 322.661599999999; 311.662200000001;
    301.3254; 291.7484; 279.939200000001; 276.7508; 263.215200000001;
    254.811400000001; 245.5494; 242.306399999999; 234.8734; 223.787200000001;
    217.7156; 212.0196; 200.793; 195.9748; 189.0702; 182.449199999999;
    177.2772; 170.2336; 164.741; 158.613600000001; 155.311; 147.5964; 142.837;
    137.3724; 132.0162; 130.0424; 121.9804; 120.451800000001; 114.8968;
    111.585999999999; 105.933199999999; 101.705; 98.5141999999996;
    95.0488000000005; 89.7880000000005; 91.4750000000004; 83.7764000000006;
    80.9698000000008; 72.8574000000008; 73.1615999999995; 67.5838000000003;
    62.6263999999992; 63.2638000000006; 66.0977999999996; 52.0843999999997;
    58.9956000000002; 47.0912000000008; 46.4956000000002; 48.4383999999991;
    47.1082000000006; 43.2392; 37.2759999999998; 40.0283999999992;
    35.1864000000005; 35.8595999999998; 32.0998; 28.027; 23.6694000000007;
    33.8266000000003; 26.3736000000008; 27.2008000000005; 21.3245999999999;
    26.4115999999995; 23.4521999999997; 19.5013999999992; 19.8513999999996;
    10.7492000000002; 18.6424000000006; 13.1265999999996; 18.2436000000016;
    6.71860000000015; 3.39459999999963; 6.33759999999893; 7.76719999999841;
    0.813999999998487; 3.82819999999992; 0.826199999999517; 8.07440000000133;
    -1.59080000000176; 5.01780000000144; 0.455399999998917; -0.24199999999837;
    0.174800000000687; -9.07640000000174; -4.20160000000033; -3.77520000000004;
    -4.75179999999818; -5.3724000000002; -8.90680000000066; -6.10239999999976;
    -5.74120000000039; -9.95339999999851; -3.86339999999836; -13.7304000000004;
    -16.2710000000006; -7.51359999999841; -3.30679999999847; -13.1339999999982;
    -10.0551999999989; -6.72019999999975; -8.59660000000076; -10.9307999999983;
    -1.8775999999998; -4.82259999999951; -13.7788; -21.6470000000008;
    -10.6735999999983; -15.7799999999988; |];
   precision 13
  [| 5907.5052; 5802.2672; 5697.347; 5593.5794; 5491.2622; 5390.5514;
    5290.3376; 5191.6952; 5093.5988; 4997.3552; 4902.5972; 4808.3082;
    4715.5646; 4624.109; 4533.8216; 4444.4344; 4356.3802; 4269.2962;
    4183.3784; 4098.292; 4014.79; 3932.4574; 3850.6036; 3771.2712; 3691.7708;
    3615.099; 3538.1858; 3463.4746; 3388.8496; 3315.6794; 3244.5448;
    3173.7516; 3103.3106; 3033.6094; 2966.5642; 2900.794; 2833.7256; 2769.81;
    2707.3196; 2644.0778; 2583.9916; 2523.4662; 2464.124; 2406.073; 2347.0362;
    2292.1006; 2238.1716; 2182.7514; 2128.4884; 2077.1314; 2025.037; 1975.3756;
    1928.933; 1879.311; 1831.0006; 1783.2144; 1738.3096; 1694.5144; 1649.024;
    1606.847; 1564.7528; 1525.3168; 1482.5372; 1443.9668; 1406.5074; 1365.867;
    1329.2186; 1295.4186; 1257.9716; 1225.339; 1193.2972; 1156.3578; 1125.8686;
    1091.187; 1061.4094; 1029.4188; 1000.9126; 972.3272; 944.004199999999;
    915.7592; 889.965; 862.834200000001; 840.4254; 812.598399999999;
    785.924200000001; 763.050999999999; 741.793799999999; 721.466;
    699.040799999999; 677.997200000002; 649.866999999998; 634.911800000002;
    609.8694; 591.981599999999; 570.2922; 557.129199999999; 538.3858;
    521.872599999999; 502.951400000002; 495.776399999999; 475.171399999999;
    459.751; 439.995200000001; 426.708999999999; 413.7016; 402.3868;
    387.262599999998; 372.0524; 357.050999999999; 342.5098; 334.849200000001;
    322.529399999999; 311.613799999999; 295.848000000002; 289.273000000001;
    274.093000000001; 263.329600000001; 251.389599999999; 245.7392; 231.9614;
    229.7952; 217.155200000001; 208.9588; 199.016599999999; 190.839199999999;
    180.6976; 176.272799999999; 166.976999999999; 162.5252; 151.196400000001;
    149.386999999999; 133.981199999998; 130.0586; 130.164000000001;
    122.053400000001; 110.7428; 108.1276; 106.232400000001; 100.381600000001;
    98.7668000000012; 86.6440000000002; 79.9768000000004; 82.4722000000002;
    68.7026000000005; 70.1186000000016; 71.9948000000004; 58.998599999999;
    59.0492000000013; 56.9818000000014; 47.5338000000011; 42.9928;
    51.1591999999982; 37.2740000000013; 42.7220000000016; 31.3734000000004;
    26.8090000000011; 25.8934000000008; 26.5286000000015; 29.5442000000003;
    19.3503999999994; 26.0760000000009; 17.9527999999991; 14.8419999999969;
    10.4683999999979; 8.65899999999965; 9.86720000000059; 4.34139999999752;
    -0.907800000000861; -3.32080000000133; -0.936199999996461;
    -11.9916000000012; -8.87000000000262; -6.33099999999831; -11.3366000000024;
    -15.9207999999999; -9.34659999999712; -15.5034000000014; -19.2097999999969;
    -15.357799999998; -28.2235999999975; -30.6898000000001; -19.3271999999997;
    -25.6083999999973; -24.409599999999; -13.6385999999984; -33.4473999999973;
    -32.6949999999997; -28.9063999999998; -31.7483999999968; -32.2935999999972;
    -35.8329999999987; -47.620600000002; -39.0855999999985; -33.1434000000008;
    -46.1371999999974; -37.5892000000022; -46.8164000000033; -47.3142000000007;
    -60.2914000000019; -37.7575999999972; |];
   precision 14
  [| 11816.475; 11605.0046; 11395.3792; 11188.7504; 10984.1814; 10782.0086;
    10582.0072; 10384.503; 10189.178; 9996.2738; 9806.0344; 9617.9798;
    9431.394; 9248.7784; 9067.6894; 8889.6824; 8712.9134; 8538.8624;
    8368.4944; 8197.7956; 8031.8916; 7866.6316; 7703.733; 7544.5726;
    7386.204; 7230.666; 7077.8516; 6926.7886; 6778.6902; 6631.9632; 6487.304;
    6346.7486; 6206.4408; 6070.202; 5935.2576; 5799.924; 5671.0324;
    5541.9788; 5414.6112; 5290.0274; 5166.723; 5047.6906; 4929.162; 4815.1406;
    4699.127; 4588.5606; 4477.7394; 4369.4014; 4264.2728; 4155.9224; 4055.581;
    3955.505; 3856.9618; 3761.3828; 3666.9702; 3575.7764; 3482.4132; 3395.0186;
    3305.8852; 3221.415; 3138.6024; 3056.296; 2970.4494; 2896.1526; 2816.8008;
    2740.2156; 2670.497; 2594.1458; 2527.111; 2460.8168; 2387.5114; 2322.9498;
    2260.6752; 2194.2686; 2133.7792; 2074.767; 2015.204; 1959.4226; 1898.6502;
    1850.006; 1792.849; 1741.4838; 1687.9778; 1638.1322; 1589.3266; 1543.1394;
    1496.8266; 1447.8516; 1402.7354; 1361.9606; 1327.0692; 1285.4106;
    1241.8112; 1201.6726; 1161.973; 1130.261; 1094.2036; 1048.2036; 1020.6436;
    990.901400000002; 961.199800000002; 924.769800000002; 899.526400000002;
    872.346400000002; 834.375; 810.432000000001; 780.659800000001;
    756.013800000001; 733.479399999997; 707.923999999999; 673.858;
    652.222399999999; 636.572399999997; 615.738599999997; 586.696400000001;
    564.147199999999; 541.679600000003; 523.943599999999; 505.714599999999;
    475.729599999999; 461.779600000002; 449.750800000002; 439.020799999998;
    412.7886; 400.245600000002; 383.188199999997; 362.079599999997;
    357.533799999997; 334.319000000003; 327.553399999997; 308.559399999998;
    291.270199999999; 279.351999999999; 271.791400000002; 252.576999999997;
    247.482400000001; 236.174800000001; 218.774599999997; 220.155200000001;
    208.794399999999; 201.223599999998; 182.995600000002; 185.5268;
    164.547400000003; 176.5962; 150.689599999998; 157.8004; 138.378799999999;
    134.021200000003; 117.614399999999; 108.194000000003; 97.0696000000025;
    89.6042000000016; 95.6030000000028; 84.7810000000027; 72.635000000002;
    77.3482000000004; 59.4907999999996; 55.5875999999989; 50.7346000000034;
    61.3916000000027; 50.9149999999936; 39.0384000000049; 58.9395999999979;
    29.633600000001; 28.2032000000036; 26.0078000000067; 17.0387999999948;
    9.22000000000116; 13.8387999999977; 8.07240000000456; 14.1549999999988;
    15.3570000000036; 3.42660000000615; 6.24820000000182; -2.96940000000177;
    -8.79940000000352; -5.97860000000219; -14.4048000000039; -3.4143999999942;
    -13.0148000000045; -11.6977999999945; -25.7878000000055; -22.3185999999987;
    -24.409599999999; -31.9756000000052; -18.9722000000038; -22.8678000000073;
    -30.8972000000067; -32.3715999999986; -22.3907999999938; -43.6720000000059;
    -35.9038; -39.7492000000057; -54.1641999999993; -45.2749999999942;
    -42.2989999999991; -44.1089999999967; -64.3564000000042;
    -49.9551999999967; -42.6116000000038; |];
   precision 15
  [| 23634.0036; 23210.8034; 22792.4744; 22379.1524; 21969.7928; 21565.326;
    21165.3532; 20770.2806; 20379.9892; 19994.7098; 19613.318; 19236.799;
    18865.4382; 18498.8244; 18136.5138; 17778.8668; 17426.2344; 17079.32;
    16734.778; 16397.2418; 16063.3324; 15734.0232; 15409.731; 15088.728;
    14772.9896; 14464.1402; 14157.5588; 13855.5958; 13559.3296; 13264.9096;
    12978.326; 12692.0826; 12413.8816; 12137.3192; 11870.2326; 11602.5554;
    11340.3142; 11079.613; 10829.5908; 10583.5466; 10334.0344; 10095.5072;
    9859.694; 9625.2822; 9395.7862; 9174.0586; 8957.3164; 8738.064; 8524.155;
    8313.7396; 8116.9168; 7913.542; 7718.4778; 7521.65; 7335.5596; 7154.2906;
    6968.7396; 6786.3996; 6613.236; 6437.406; 6270.6598; 6107.7958; 5945.7174;
    5787.6784; 5635.5784; 5482.308; 5337.9784; 5190.0864; 5045.9158; 4919.1386;
    4771.817; 4645.7742; 4518.4774; 4385.5454; 4262.6622; 4142.74679999999;
    4015.5318; 3897.9276; 3790.7764; 3685.13800000001; 3573.6274; 3467.9706;
    3368.61079999999; 3271.5202; 3170.3848; 3076.4656; 2982.38400000001; 2888.4664;
    2806.4868; 2711.9564; 2634.1434; 2551.3204; 2469.7662; 2396.61139999999;
    2318.9902; 2243.8658; 2171.9246; 2105.01360000001; 2028.8536; 1960.9952;
    1901.4096; 1841.86079999999; 1777.54700000001; 1714.5802; 1654.65059999999;
    1596.311; 1546.2016; 1492.3296; 1433.8974; 1383.84600000001; 1339.4152;
    1293.5518; 1245.8686; 1193.50659999999; 1162.27959999999; 1107.19439999999;
    1069.18060000001; 1035.09179999999; 999.679000000004; 957.679999999993;
    925.300199999998; 888.099400000006; 848.638600000006; 818.156400000007;
    796.748399999997; 752.139200000005; 725.271200000003; 692.216;
    671.633600000001; 647.939799999993; 621.670599999998; 575.398799999995;
    561.226599999995; 532.237999999998; 521.787599999996; 483.095799999996;
    467.049599999998; 465.286399999997; 415.548599999995; 401.047399999996;
    380.607999999993; 377.362599999993; 347.258799999996; 338.371599999999;
    310.096999999994; 301.409199999995; 276.280799999993; 265.586800000005;
    258.994399999996; 223.915999999997; 215.925399999993; 213.503800000006;
    191.045400000003; 166.718200000003; 166.259000000005; 162.941200000001;
    148.829400000002; 141.645999999993; 123.535399999993; 122.329800000007;
    89.473399999988; 80.1962000000058; 77.5457999999926; 59.1056000000099;
    83.3509999999951; 52.2906000000075; 36.3979999999865; 40.6558000000077;
    42.0003999999899; 19.6630000000005; 19.7153999999864; -8.38539999999921;
    -0.692799999989802; 0.854800000000978; 3.23219999999856; -3.89040000000386;
    -5.25880000001052; -24.9052000000083; -22.6837999999989; -26.4286000000138;
    -34.997000000003; -37.0216000000073; -43.430400000012; -58.2390000000014;
    -68.8034000000043; -56.9245999999985; -57.8583999999973; -77.3097999999882;
    -73.2793999999994; -81.0738000000129; -87.4530000000086; -65.0254000000132;
    -57.296399999992; -96.2746000000043; -103.25; -96.081600000005;
    -91.5542000000132; -102.465200000006; -107.688599999994; -101.458000000013;
    -109.715800000005; |];
   precision 16
  [| 47270.0; 46423.3584; 45585.7074; 44757.152; 43938.8416; 43130.9514;
    42330.03; 41540.407; 40759.6348; 39988.206; 39226.5144; 38473.2096;
    37729.795; 36997.268; 36272.6448; 35558.665; 34853.0248; 34157.4472;
    33470.5204; 32793.5742; 32127.0194; 31469.4182; 30817.6136; 30178.6968;
    29546.8908; 28922.8544; 28312.271; 27707.0924; 27114.0326; 26526.692;
    25948.6336; 25383.7826; 24823.5998; 24272.2974; 23732.2572; 23201.4976;
    22674.2796; 22163.6336; 21656.515; 21161.7362; 20669.9368; 20189.4424;
    19717.3358; 19256.3744; 18795.9638; 18352.197; 17908.5738; 17474.391;
    17052.918; 16637.2236; 16228.4602; 15823.3474; 15428.6974; 15043.0284;
    14667.6278; 14297.4588; 13935.2882; 13578.5402; 13234.6032; 12882.1578;
    12548.0728; 12219.231; 11898.0072; 11587.2626; 11279.9072; 10973.5048;
    10678.5186; 10392.4876; 10105.2556; 9825.766; 9562.5444; 9294.2222; 9038.2352;
    8784.848; 8533.2644; 8301.7776; 8058.30859999999; 7822.94579999999;
    7599.11319999999; 7366.90779999999; 7161.217; 6957.53080000001; 6736.212;
    6548.21220000001; 6343.06839999999; 6156.28719999999; 5975.15419999999;
    5791.75719999999; 5621.32019999999; 5451.66; 5287.61040000001;
    5118.09479999999; 4957.288; 4798.4246; 4662.17559999999; 4512.05900000001;
    4364.68539999999; 4220.77720000001; 4082.67259999999; 3957.19519999999;
    3842.15779999999; 3699.3328; 3583.01180000001; 3473.8964;
    3338.66639999999; 3233.55559999999; 3117.799; 3008.111; 2909.69140000001;
    2814.86499999999; 2719.46119999999; 2624.742; 2532.46979999999; 2444.7886;
    2370.1868; 2272.45259999999; 2196.19260000001; 2117.90419999999; 2023.2972;
    1969.76819999999; 1885.58979999999; 1833.2824; 1733.91200000001;
    1682.54920000001; 1604.57980000001; 1556.11240000001; 1491.3064;
    1421.71960000001; 1371.22899999999; 1322.1324; 1264.7892; 1196.23920000001;
    1143.8474; 1088.67240000001; 1073.60380000001; 1023.11660000001;
    959.036400000012; 927.433199999999; 906.792799999996; 853.433599999989;
    841.873800000001; 791.1054; 756.899999999994; 704.343200000003;
    672.495599999995; 622.790399999998; 611.254799999995; 567.283200000005;
    519.406599999988; 519.188400000014; 495.312800000014; 451.350799999986;
    443.973399999988; 431.882199999993; 392.027000000002; 380.924200000009;
    345.128999999986; 298.901400000002; 287.771999999997; 272.625;
    247.253000000026; 222.490600000019; 223.590000000026; 196.407599999977;
    176.425999999978; 134.725199999986; 132.4804; 110.445599999977;
    86.7939999999944; 56.7038000000175; 64.915399999998; 38.3726000000024;
    37.1606000000029; 46.170999999973; 49.1716000000015; 15.3362000000197;
    6.71639999997569; -34.8185999999987; -39.4476000000141; 12.6830000000191;
    -12.3331999999937; -50.6565999999875; -59.9538000000175; -65.1054000000004;
    -70.7576000000117; -106.325200000021; -126.852200000023; -110.227599999984;
    -132.885999999999; -113.897200000007; -142.713800000027; -151.145399999979;
    -150.799200000009; -177.756200000003; -156.036399999983; -182.735199999996;
    -177.259399999981; -198.663600000029; -174.577600000019; -193.84580000001; |];
   precision 17
  [| 94541.0; 92848.811; 91174.019; 89517.558; 87879.9705; 86262.7565;
    84663.5125; 83083.7435; 81521.7865; 79977.272; 78455.9465; 76950.219;
    75465.432; 73994.152; 72546.71; 71115.2345; 69705.6765; 68314.937;
    66944.2705; 65591.255; 64252.9485; 62938.016; 61636.8225; 60355.592;
    59092.789; 57850.568; 56624.518; 55417.343; 54231.1415; 53067.387;
    51903.526; 50774.649; 49657.6415; 48561.05; 47475.7575; 46410.159;
    45364.852; 44327.053; 43318.4005; 42325.6165; 41348.4595; 40383.6265;
    39436.77; 38509.502; 37594.035; 36695.939; 35818.6895; 34955.691;
    34115.8095; 33293.949; 32465.0775; 31657.6715; 30877.2585; 30093.78;
    29351.3695; 28594.1365; 27872.115; 27168.7465; 26477.076; 25774.541;
    25106.5375; 24452.5135; 23815.5125; 23174.0655; 22555.2685; 21960.2065;
    21376.3555; 20785.1925; 20211.517; 19657.0725; 19141.6865; 18579.737;
    18081.3955; 17578.995; 17073.44; 16608.335; 16119.911; 15651.266;
    15194.583; 14749.0495; 14343.4835; 13925.639; 13504.509; 13099.3885;
    12691.2855; 12328.018; 11969.0345; 11596.5145; 11245.6355; 10917.6575;
    10580.9785; 10277.8605; 9926.58100000001; 9605.538; 9300.42950000003;
    8989.97850000003; 8728.73249999998; 8448.3235; 8175.31050000002;
    7898.98700000002; 7629.79100000003; 7413.76199999999; 7149.92300000001;
    6921.12650000001; 6677.1545; 6443.28000000003; 6278.23450000002;
    6014.20049999998; 5791.20299999998; 5605.78450000001; 5438.48800000001;
    5234.2255; 5059.6825; 4887.43349999998; 4682.935; 4496.31099999999;
    4322.52250000002; 4191.42499999999; 4021.24200000003; 3900.64799999999;
    3762.84250000003; 3609.98050000001; 3502.29599999997; 3363.84250000003;
    3206.54849999998; 3079.70000000001; 2971.42300000001; 2867.80349999998;
    2727.08100000001; 2630.74900000001; 2496.6165; 2440.902; 2356.19150000002;
    2235.58199999999; 2120.54149999999; 2012.25449999998; 1933.35600000003;
    1820.93099999998; 1761.54800000001; 1663.09350000002; 1578.84600000002;
    1509.48149999999; 1427.3345; 1379.56150000001; 1306.68099999998;
    1212.63449999999; 1084.17300000001; 1124.16450000001; 1060.69949999999;
    1007.48849999998; 941.194499999983; 879.880500000028; 836.007500000007;
    782.802000000025; 748.385499999975; 647.991500000004; 626.730500000005;
    570.776000000013; 484.000500000024; 513.98550000001; 418.985499999952;
    386.996999999974; 370.026500000036; 355.496999999974; 356.731499999994;
    255.92200000002; 259.094000000041; 205.434499999974; 165.374500000034;
    197.347500000033; 95.718499999959; 67.6165000000037; 54.6970000000438;
    31.7395000000251; -15.8784999999916; 8.42500000004657; -26.3754999999655;
    -118.425500000012; -66.6629999999423; -42.9745000000112; -107.364999999991;
    -189.839000000036; -162.611499999999; -164.964999999967; -189.079999999958;
    -223.931499999948; -235.329999999958; -269.639500000048;
    -249.087999999989; -206.475499999942; -283.04449999996; -290.667000000016;
    -304.561499999953; -336.784499999951; -380.386500000022; -283.280499999993;
    -364.533000000054; -389.059499999974; -364.454000000027; -415.748000000021;
    -417.155000000028; |];
   precision 18
  [| 189083.0; 185696.913; 182348.774; 179035.946; 175762.762; 172526.444;
    169329.754; 166166.099; 163043.269; 159958.91; 156907.912; 153906.845;
    150924.199; 147996.568; 145093.457; 142239.233; 139421.475; 136632.27;
    133889.588; 131174.2; 128511.619; 125868.621; 123265.385; 120721.061;
    118181.769; 115709.456; 113252.446; 110840.198; 108465.099; 106126.164;
    103823.469; 101556.618; 99308.004; 97124.508; 94937.803; 92833.731;
    90745.061; 88677.627; 86617.47; 84650.442; 82697.833; 80769.132; 78879.629;
    77014.432; 75215.626; 73384.587; 71652.482; 69895.93; 68209.301; 66553.669;
    64921.981; 63310.323; 61742.115; 60205.018; 58698.658; 57190.657; 55760.865;
    54331.169; 52908.167; 51550.273; 50225.254; 48922.421; 47614.533; 46362.049;
    45098.569; 43926.083; 42736.03; 41593.473; 40425.26; 39316.237; 38243.651;
    37170.617; 36114.609; 35084.19; 34117.233; 33206.509; 32231.505; 31318.728;
    30403.404; 29540.0550000001; 28679.236; 27825.862; 26965.216; 26179.148;
    25462.08; 24645.952; 23922.523; 23198.144; 22529.128; 21762.4179999999;
    21134.779; 20459.117; 19840.818; 19187.04; 18636.3689999999; 17982.831;
    17439.7389999999; 16874.547; 16358.2169999999; 15835.684; 15352.914;
    14823.681; 14329.313; 13816.897; 13342.874; 12880.882; 12491.648; 12021.254;
    11625.392; 11293.7610000001; 10813.697; 10456.209; 10099.074; 9755.39000000001;
    9393.18500000006; 9047.57900000003; 8657.98499999999; 8395.85900000005; 8033.;
    7736.95900000003; 7430.59699999995; 7258.47699999996; 6924.58200000005;
    6691.29399999999; 6357.92500000005; 6202.05700000003; 5921.19700000004;
    5628.28399999999; 5404.96799999999; 5226.71100000001; 4990.75600000005;
    4799.77399999998; 4622.93099999998; 4472.478; 4171.78700000001;
    3957.46299999999; 3868.95200000005; 3691.14300000004; 3474.63100000005;
    3341.67200000002; 3109.14000000001; 3071.97400000005; 2796.40399999998;
    2756.17799999996; 2611.46999999997; 2471.93000000005; 2382.26399999997;
    2209.22400000005; 2142.28399999999; 2013.96100000001; 1911.18999999994;
    1818.27099999995; 1668.47900000005; 1519.65800000005; 1469.67599999998;
    1367.13800000004; 1248.52899999998; 1181.23600000003; 1022.71900000004;
    1088.20700000005; 959.03600000008; 876.095999999903; 791.183999999892;
    703.337000000058; 731.949999999953; 586.86400000006; 526.024999999907;
    323.004999999888; 320.448000000091; 340.672999999952; 309.638999999966;
    216.601999999955; 102.922999999952; 19.2399999999907; -0.114000000059605;
    -32.6240000000689; -89.3179999999702; -153.497999999905; -64.2970000000205;
    -143.695999999996; -259.497999999905; -253.017999999924; -213.948000000091;
    -397.590000000084; -434.006000000052; -403.475000000093; -297.958000000101;
    -404.317000000039; -528.898999999976; -506.621000000043; -513.205000000075;
    -479.351000000024; -596.139999999898; -527.016999999993; -664.681000000099;
    -680.306000000099; -704.050000000047; -850.486000000034; -757.43200000003;
    -713.308999999892; |]
|]

   precision 4 - 18
let threshold = [| 10.; 20.; 40.; 80.; 220.; 400.; 900.; 1800.; 3100.; 6500.; 11500.;
                  20000.; 50000.; 120000.; 350000. |]

let raw_estimated_data = [|
   precision 4
  [| 11.0; 11.717; 12.207; 12.7896; 13.2882; 13.8204; 14.3772; 14.9342; 15.5202;
    16.161; 16.7722; 17.4636; 18.0396; 18.6766; 19.3566; 20.0454; 20.7936;
    21.4856; 22.2666; 22.9946; 23.766; 24.4692; 25.3638; 26.0764; 26.7864;
    27.7602; 28.4814; 29.433; 30.2926; 31.0664; 31.9996; 32.7956; 33.5366;
    34.5894; 35.5738; 36.2698; 37.3682; 38.0544; 39.2342; 40.0108; 40.7966;
    41.9298; 42.8704; 43.6358; 44.5194; 45.773; 46.6772; 47.6174; 48.4888;
    49.3304; 50.2506; 51.4996; 52.3824; 53.3078; 54.3984; 55.5838; 56.6618;
    57.2174; 58.3514; 59.0802; 60.1482; 61.0376; 62.3598; 62.8078; 63.9744;
    64.914; 65.781; 67.1806; 68.0594; 68.8446; 69.7928; 70.8248; 71.8324;
    72.8598; 73.6246; 74.7014; 75.393; 76.6708; 77.2394; |];
   precision 5
  [| 23.0; 23.1194; 23.8208; 24.2318; 24.77; 25.2436; 25.7774; 26.2848; 26.8224;
    27.3742; 27.9336; 28.503; 29.0494; 29.6292; 30.2124; 30.798; 31.367;
    31.9728; 32.5944; 33.217; 33.8438; 34.3696; 35.0956; 35.7044; 36.324;
    37.0668; 37.6698; 38.3644; 39.049; 39.6918; 40.4146; 41.082; 41.687;
    42.5398; 43.2462; 43.857; 44.6606; 45.4168; 46.1248; 46.9222; 47.6804;
    48.447; 49.3454; 49.9594; 50.7636; 51.5776; 52.331; 53.19; 53.9676;
    54.7564; 55.5314; 56.4442; 57.3708; 57.9774; 58.9624; 59.8796; 60.755;
    61.472; 62.2076; 63.1024; 63.8908; 64.7338; 65.7728; 66.629; 67.413; 68.3266;
    69.1524; 70.2642; 71.1806; 72.0566; 72.9192; 73.7598; 74.3516; 75.5802;
    76.4386; 77.4916; 78.1524; 79.1892; 79.8414; 80.8798; 81.8376; 82.4698;
    83.7656; 84.331; 85.5914; 86.6012; 87.7016; 88.5582; 89.3394; 90.3544;
    91.4912; 92.308; 93.3552; 93.9746; 95.2052; 95.727; 97.1322; 98.3944;
    98.7588; 100.242; 101.1914; 102.2538; 102.8776; 103.6292; 105.1932; 105.9152;
    107.0868; 107.6728; 108.7144; 110.3114; 110.8716; 111.245; 112.7908;
    113.7064; 114.636; 115.7464; 116.1788; 117.7464; 118.4896; 119.6166;
    120.5082; 121.7798; 122.9028; 123.4426; 124.8854; 125.705; 126.4652;
    128.3464; 128.3462; 130.0398; 131.0342; 131.0042; 132.4766; 133.511;
    134.7252; 135.425; 136.5172; 138.0572; 138.6694; 139.3712; 140.8598;
    141.4594; 142.554; 143.4006; 144.7374; 146.1634; 146.8994; 147.605; 147.9304;
    149.1636; 150.2468; 151.5876; 152.2096; 153.7032; 154.7146; 155.807;
    156.9228; 157.0372; 158.5852; |];
   precision 6
  [| 46.0; 46.1902; 47.271; 47.8358; 48.8142; 49.2854; 50.317; 51.354; 51.8924;
    52.9436; 53.4596; 54.5262; 55.6248; 56.1574; 57.2822; 57.837; 58.9636;
    60.074; 60.7042; 61.7976; 62.4772; 63.6564; 64.7942; 65.5004; 66.686;
    67.291; 68.5672; 69.8556; 70.4982; 71.8204; 72.4252; 73.7744; 75.0786;
    75.8344; 77.0294; 77.8098; 79.0794; 80.5732; 81.1878; 82.5648; 83.2902;
    84.6784; 85.3352; 86.8946; 88.3712; 89.0852; 90.499; 91.2686; 92.6844;
    94.2234; 94.9732; 96.3356; 97.2286; 98.7262; 100.3284; 101.1048; 102.5962;
    103.3562; 105.1272; 106.4184; 107.4974; 109.0822; 109.856; 111.48; 113.2834;
    114.0208; 115.637; 116.5174; 118.0576; 119.7476; 120.427; 122.1326; 123.2372;
    125.2788; 126.6776; 127.7926; 129.1952; 129.9564; 131.6454; 133.87; 134.5428;
    136.2; 137.0294; 138.6278; 139.6782; 141.792; 143.3516; 144.2832; 146.0394;
    147.0748; 148.4912; 150.849; 151.696; 153.5404; 154.073; 156.3714; 157.7216;
    158.7328; 160.4208; 161.4184; 163.9424; 165.2772; 166.411; 168.1308; 168.769;
    170.9258; 172.6828; 173.7502; 175.706; 176.3886; 179.0186; 180.4518; 181.927;
    183.4172; 184.4114; 186.033; 188.5124; 189.5564; 191.6008; 192.4172;
    193.8044; 194.997; 197.4548; 198.8948; 200.2346; 202.3086; 203.1548;
    204.8842; 206.6508; 206.6772; 209.7254; 210.4752; 212.7228; 214.6614;
    215.1676; 217.793; 218.0006; 219.9052; 221.66; 223.5588; 225.1636; 225.6882;
    227.7126; 229.4502; 231.1978; 232.9756; 233.1654; 236.727; 238.1974;
    237.7474; 241.1346; 242.3048; 244.1948; 245.3134; 246.879; 249.1204; 249.853;
    252.6792; 253.857; 254.4486; 257.2362; 257.9534; 260.0286; 260.5632; 262.663;
    264.723; 265.7566; 267.2566; 267.1624; 270.62; 272.8216; 273.2166; 275.2056;
    276.2202; 278.3726; 280.3344; 281.9284; 283.9728; 284.1924; 286.4872;
    287.587; 289.807; 291.1206; 292.769; 294.8708; 296.665; 297.1182; 299.4012;
    300.6352; 302.1354; 304.1756; 306.1606; 307.3462; 308.5214; 309.4134;
    310.8352; 313.9684; 315.837; 316.7796; 318.9858; |];
   precision 7
  [| 92.0; 93.4934; 94.9758; 96.4574; 97.9718; 99.4954; 101.5302; 103.0756;
    104.6374; 106.1782; 107.7888; 109.9522; 111.592; 113.2532; 114.9086;
    116.5938; 118.9474; 120.6796; 122.4394; 124.2176; 125.9768; 128.4214;
    130.2528; 132.0102; 133.8658; 135.7278; 138.3044; 140.1316; 142.093;
    144.0032; 145.9092; 148.6306; 150.5294; 152.5756; 154.6508; 156.662;
    159.552; 161.3724; 163.617; 165.5754; 167.7872; 169.8444; 172.7988;
    174.8606; 177.2118; 179.3566; 181.4476; 184.5882; 186.6816; 189.0824;
    191.0258; 193.6048; 196.4436; 198.7274; 200.957; 203.147; 205.4364; 208.7592;
    211.3386; 213.781; 215.8028; 218.656; 221.6544; 223.996; 226.4718; 229.1544;
    231.6098; 234.5956; 237.0616; 239.5758; 242.4878; 244.5244; 248.2146;
    250.724; 252.8722; 255.5198; 258.0414; 261.941; 264.9048; 266.87; 269.4304;
    272.028; 274.4708; 278.37; 281.0624; 283.4668; 286.5532; 289.4352; 293.2564;
    295.2744; 298.2118; 300.7472; 304.1456; 307.2928; 309.7504; 312.5528;
    315.979; 318.2102; 322.1834; 324.3494; 327.325; 330.6614; 332.903; 337.2544;
    339.9042; 343.215; 345.2864; 348.0814; 352.6764; 355.301; 357.139; 360.658;
    363.1732; 366.5902; 369.9538; 373.0828; 375.922; 378.9902; 382.7328;
    386.4538; 388.1136; 391.2234; 394.0878; 396.708; 401.1556; 404.1852;
    406.6372; 409.6822; 412.7796; 416.6078; 418.4916; 422.131; 424.5376;
    428.1988; 432.211; 434.4502; 438.5282; 440.912; 444.0448; 447.7432; 450.8524;
    453.7988; 456.7858; 458.8868; 463.9886; 466.5064; 468.9124; 472.6616;
    475.4682; 478.582; 481.304; 485.2738; 488.6894; 490.329; 496.106; 497.6908;
    501.1374; 504.5322; 506.8848; 510.3324; 513.4512; 516.179; 520.4412;
    522.6066; 526.167; 528.7794; 533.379; 536.067; 538.46; 542.9116; 545.692;
    547.9546; 552.493; 555.2722; 557.335; 562.449; 564.2014; 569.0738; 571.0974;
    574.8564; 578.2996; 581.409; 583.9704; 585.8098; 589.6528; 594.5998; 595.958;
    600.068; 603.3278; 608.2016; 609.9632; 612.864; 615.43; 620.7794; 621.272;
    625.8644; 629.206; 633.219; 634.5154; 638.6102; |];
   precision 8
  [| 184.2152; 187.2454; 190.2096; 193.6652; 196.6312; 199.6822; 203.249;
    206.3296; 210.0038; 213.2074; 216.4612; 220.27; 223.5178; 227.4412;
    230.8032; 234.1634; 238.1688; 241.6074; 245.6946; 249.2664; 252.8228;
    257.0432; 260.6824; 264.9464; 268.6268; 272.2626; 276.8376; 280.4034;
    284.8956; 288.8522; 292.7638; 297.3552; 301.3556; 305.7526; 309.9292;
    313.8954; 318.8198; 322.7668; 327.298; 331.6688; 335.9466; 340.9746;
    345.1672; 349.3474; 354.3028; 358.8912; 364.114; 368.4646; 372.9744;
    378.4092; 382.6022; 387.843; 392.5684; 397.1652; 402.5426; 407.4152;
    412.5388; 417.3592; 422.1366; 427.486; 432.3918; 437.5076; 442.509; 447.3834;
    453.3498; 458.0668; 463.7346; 469.1228; 473.4528; 479.7; 484.644; 491.0518;
    495.5774; 500.9068; 506.432; 512.1666; 517.434; 522.6644; 527.4894; 533.6312;
    538.3804; 544.292; 550.5496; 556.0234; 562.8206; 566.6146; 572.4188; 579.117;
    583.6762; 590.6576; 595.7864; 601.509; 607.5334; 612.9204; 619.772; 624.2924;
    630.8654; 636.1836; 642.745; 649.1316; 655.0386; 660.0136; 666.6342;
    671.6196; 678.1866; 684.4282; 689.3324; 695.4794; 702.5038; 708.129; 713.528;
    720.3204; 726.463; 732.7928; 739.123; 744.7418; 751.2192; 756.5102; 762.6066;
    769.0184; 775.2224; 781.4014; 787.7618; 794.1436; 798.6506; 805.6378;
    811.766; 819.7514; 824.5776; 828.7322; 837.8048; 843.6302; 849.9336;
    854.4798; 861.3388; 867.9894; 873.8196; 880.3136; 886.2308; 892.4588;
    899.0816; 905.4076; 912.0064; 917.3878; 923.619; 929.998; 937.3482; 943.9506;
    947.991; 955.1144; 962.203; 968.8222; 975.7324; 981.7826; 988.7666; 994.2648;
    1000.3128; 1007.4082; 1013.7536; 1020.3376; 1026.7156; 1031.7478; 1037.4292;
    1045.393; 1051.2278; 1058.3434; 1062.8726; 1071.884; 1076.806; 1082.9176;
    1089.1678; 1095.5032; 1102.525; 1107.2264; 1115.315; 1120.93; 1127.252;
    1134.1496; 1139.0408; 1147.5448; 1153.3296; 1158.1974; 1166.5262; 1174.3328;
    1175.657; 1184.4222; 1190.9172; 1197.1292; 1204.4606; 1210.4578; 1218.8728;
    1225.3336; 1226.6592; 1236.5768; 1241.363; 1249.4074; 1254.6566; 1260.8014;
    1266.5454; 1274.5192; |];
   precision 9
  [| 369.0; 374.8294; 381.2452; 387.6698; 394.1464; 400.2024; 406.8782; 413.6598;
    420.462; 427.2826; 433.7102; 440.7416; 447.9366; 455.1046; 462.285;
    469.0668; 476.306; 483.8448; 491.301; 498.9886; 506.2422; 513.8138;
    521.7074; 529.7428; 537.8402; 545.1664; 553.3534; 561.594; 569.6886;
    577.7876; 585.65; 594.228; 602.8036; 611.1666; 620.0818; 628.0824;
    637.2574; 646.302; 655.1644; 664.0056; 672.3802; 681.7192; 690.5234;
    700.2084; 708.831; 718.485; 728.1112; 737.4764; 746.76; 756.3368; 766.5538;
    775.5058; 785.2646; 795.5902; 804.3818; 814.8998; 824.9532; 835.2062;
    845.2798; 854.4728; 864.9582; 875.3292; 886.171; 896.781; 906.5716; 916.7048;
    927.5322; 937.875; 949.3972; 958.3464; 969.7274; 980.2834; 992.1444;
    1003.4264; 1013.0166; 1024.018; 1035.0438; 1046.34; 1057.6856; 1068.9836;
    1079.0312; 1091.677; 1102.3188; 1113.4846; 1124.4424; 1135.739; 1147.1488;
    1158.9202; 1169.406; 1181.5342; 1193.2834; 1203.8954; 1216.3286; 1226.2146;
    1239.6684; 1251.9946; 1262.123; 1275.4338; 1285.7378; 1296.076; 1308.9692;
    1320.4964; 1333.0998; 1343.9864; 1357.7754; 1368.3208; 1380.4838; 1392.7388;
    1406.0758; 1416.9098; 1428.9728; 1440.9228; 1453.9292; 1462.617; 1476.05;
    1490.2996; 1500.6128; 1513.7392; 1524.5174; 1536.6322; 1548.2584; 1562.3766;
    1572.423; 1587.1232; 1596.5164; 1610.5938; 1622.5972; 1633.1222; 1647.7674;
    1658.5044; 1671.57; 1683.7044; 1695.4142; 1708.7102; 1720.6094; 1732.6522;
    1747.841; 1756.4072; 1769.9786; 1782.3276; 1797.5216; 1808.3186; 1819.0694;
    1834.354; 1844.575; 1856.2808; 1871.1288; 1880.7852; 1893.9622; 1906.3418;
    1920.6548; 1932.9302; 1945.8584; 1955.473; 1968.8248; 1980.6446; 1995.9598;
    2008.349; 2019.8556; 2033.0334; 2044.0206; 2059.3956; 2069.9174; 2082.6084;
    2093.7036; 2106.6108; 2118.9124; 2132.301; 2144.7628; 2159.8422; 2171.0212;
    2183.101; 2193.5112; 2208.052; 2221.3194; 2233.3282; 2247.295; 2257.7222;
    2273.342; 2286.5638; 2299.6786; 2310.8114; 2322.3312; 2335.516; 2349.874;
    2363.5968; 2373.865; 2387.1918; 2401.8328; 2414.8496; 2424.544; 2436.7592;
    2447.1682; 2464.1958; 2474.3438; 2489.0006; 2497.4526; 2513.6586; 2527.19;
    2540.7028; 2553.768; |];
   precision 10
  [| 738.1256; 750.4234; 763.1064; 775.4732; 788.4636; 801.0644; 814.488;
    827.9654; 841.0832; 854.7864; 868.1992; 882.2176; 896.5228; 910.1716;
    924.7752; 938.899; 953.6126; 968.6492; 982.9474; 998.5214; 1013.1064;
    1028.6364; 1044.2468; 1059.4588; 1075.3832; 1091.0584; 1106.8606;
    1123.3868; 1139.5062; 1156.1862; 1172.463; 1189.339; 1206.1936; 1223.1292;
    1240.1854; 1257.2908; 1275.3324; 1292.8518; 1310.5204; 1328.4854;
    1345.9318; 1364.552; 1381.4658; 1400.4256; 1419.849; 1438.152; 1456.8956;
    1474.8792; 1494.118; 1513.62; 1532.5132; 1551.9322; 1570.7726; 1590.6086;
    1610.5332; 1630.5918; 1650.4294; 1669.7662; 1690.4106; 1710.7338; 1730.9012;
    1750.4486; 1770.1556; 1791.6338; 1812.7312; 1833.6264; 1853.9526; 1874.8742;
    1896.8326; 1918.1966; 1939.5594; 1961.07; 1983.037; 2003.1804; 2026.071;
    2047.4884; 2070.0848; 2091.2944; 2114.333; 2135.9626; 2158.2902; 2181.0814;
    2202.0334; 2224.4832; 2246.39; 2269.7202; 2292.1714; 2314.2358; 2338.9346;
    2360.891; 2384.0264; 2408.3834; 2430.1544; 2454.8684; 2476.9896; 2501.4368;
    2522.8702; 2548.0408; 2570.6738; 2593.5208; 2617.0158; 2640.2302; 2664.0962;
    2687.4986; 2714.2588; 2735.3914; 2759.6244; 2781.8378; 2808.0072; 2830.6516;
    2856.2454; 2877.2136; 2903.4546; 2926.785; 2951.2294; 2976.468; 3000.867;
    3023.6508; 3049.91; 3073.5984; 3098.162; 3121.5564; 3146.2328; 3170.9484;
    3195.5902; 3221.3346; 3242.7032; 3271.6112; 3296.5546; 3317.7376; 3345.072;
    3369.9518; 3394.326; 3418.1818; 3444.6926; 3469.086; 3494.2754; 3517.8698;
    3544.248; 3565.3768; 3588.7234; 3616.979; 3643.7504; 3668.6812; 3695.72;
    3719.7392; 3742.6224; 3770.4456; 3795.6602; 3819.9058; 3844.002; 3869.517;
    3895.6824; 3920.8622; 3947.1364; 3973.985; 3995.4772; 4021.62; 4046.628;
    4074.65; 4096.2256; 4121.831; 4146.6406; 4173.276; 4195.0744; 4223.9696;
    4251.3708; 4272.9966; 4300.8046; 4326.302; 4353.1248; 4374.312; 4403.0322;
    4426.819; 4450.0598; 4478.5206; 4504.8116; 4528.8928; 4553.9584; 4578.8712;
    4603.8384; 4632.3872; 4655.5128; 4675.821; 4704.6222; 4731.9862; 4755.4174;
    4781.2628; 4804.332; 4832.3048; 4862.8752; 4883.4148; 4906.9544; 4935.3516;
    4954.3532; 4984.0248; 5011.217; 5035.3258; 5057.3672; 5084.1828; |];
   precision 11
  [| 1477.0; 1501.6014; 1526.5802; 1551.7942; 1577.3042; 1603.2062; 1629.8402;
    1656.2292; 1682.9462; 1709.9926; 1737.3026; 1765.4252; 1793.0578;
    1821.6092; 1849.626; 1878.5568; 1908.527; 1937.5154; 1967.1874; 1997.3878;
    2027.37; 2058.1972; 2089.5728; 2120.1012; 2151.9668; 2183.292; 2216.0772;
    2247.8578; 2280.6562; 2313.041; 2345.714; 2380.3112; 2414.1806; 2447.9854;
    2481.656; 2516.346; 2551.5154; 2586.8378; 2621.7448; 2656.6722; 2693.5722;
    2729.1462; 2765.4124; 2802.8728; 2838.898; 2876.408; 2913.4926; 2951.4938;
    2989.6776; 3026.282; 3065.7704; 3104.1012; 3143.7388; 3181.6876; 3221.1872;
    3261.5048; 3300.0214; 3339.806; 3381.409; 3421.4144; 3461.4294; 3502.2286;
    3544.651; 3586.6156; 3627.337; 3670.083; 3711.1538; 3753.5094; 3797.01;
    3838.6686; 3882.1678; 3922.8116; 3967.9978; 4009.9204; 4054.3286; 4097.5706;
    4140.6014; 4185.544; 4229.5976; 4274.583; 4316.9438; 4361.672; 4406.2786;
    4451.8628; 4496.1834; 4543.505; 4589.1816; 4632.5188; 4678.2294; 4724.8908;
    4769.0194; 4817.052; 4861.4588; 4910.1596; 4956.4344; 5002.5238; 5048.13;
    5093.6374; 5142.8162; 5187.7894; 5237.3984; 5285.6078; 5331.0858; 5379.1036;
    5428.6258; 5474.6018; 5522.7618; 5571.5822; 5618.59; 5667.9992; 5714.88;
    5763.454; 5808.6982; 5860.3644; 5910.2914; 5953.571; 6005.9232; 6055.1914;
    6104.5882; 6154.5702; 6199.7036; 6251.1764; 6298.7596; 6350.0302; 6398.061;
    6448.4694; 6495.933; 6548.0474; 6597.7166; 6646.9416; 6695.9208; 6742.6328;
    6793.5276; 6842.1934; 6894.2372; 6945.3864; 6996.9228; 7044.2372; 7094.1374;
    7142.2272; 7192.2942; 7238.8338; 7288.9006; 7344.0908; 7394.8544; 7443.5176;
    7490.4148; 7542.9314; 7595.6738; 7641.9878; 7694.3688; 7743.0448; 7797.522;
    7845.53; 7899.594; 7950.3132; 7996.455; 8050.9442; 8092.9114; 8153.1374;
    8197.4472; 8252.8278; 8301.8728; 8348.6776; 8401.4698; 8453.551; 8504.6598;
    8553.8944; 8604.1276; 8657.6514; 8710.3062; 8758.908; 8807.8706; 8862.1702;
    8910.4668; 8960.77; 9007.2766; 9063.164; 9121.0534; 9164.1354; 9218.1594;
    9267.767; 9319.0594; 9372.155; 9419.7126; 9474.3722; 9520.1338; 9572.368;
    9622.7702; 9675.8448; 9726.5396; 9778.7378; 9827.6554; 9878.1922;
    9928.7782; 9978.3984; 10026.578; 10076.5626; 10137.1618; 10177.5244;
    10229.9176; |];
   precision 12
  [| 2954.0; 3003.4782; 3053.3568; 3104.3666; 3155.324; 3206.9598; 3259.648;
    3312.539; 3366.1474; 3420.2576; 3474.8376; 3530.6076; 3586.451; 3643.38;
    3700.4104; 3757.5638; 3815.9676; 3875.193; 3934.838; 3994.8548; 4055.018;
    4117.1742; 4178.4482; 4241.1294; 4304.4776; 4367.4044; 4431.8724;
    4496.3732; 4561.4304; 4627.5326; 4693.949; 4761.5532; 4828.7256; 4897.6182;
    4965.5186; 5034.4528; 5104.865; 5174.7164; 5244.6828; 5316.6708; 5387.8312;
    5459.9036; 5532.476; 5604.8652; 5679.6718; 5753.757; 5830.2072; 5905.2828;
    5980.0434; 6056.6264; 6134.3192; 6211.5746; 6290.0816; 6367.1176; 6447.9796;
    6526.5576; 6606.1858; 6686.9144; 6766.1142; 6847.0818; 6927.9664; 7010.9096;
    7091.0816; 7175.3962; 7260.3454; 7344.018; 7426.4214; 7511.3106; 7596.0686;
    7679.8094; 7765.818; 7852.4248; 7936.834; 8022.363; 8109.5066; 8200.4554;
    8288.5832; 8373.366; 8463.4808; 8549.7682; 8642.0522; 8728.3288; 8820.9528;
    8907.727; 9001.0794; 9091.2522; 9179.988; 9269.852; 9362.6394; 9453.642;
    9546.9024; 9640.6616; 9732.6622; 9824.3254; 9917.7484; 10007.9392;
    10106.7508; 10196.2152; 10289.8114; 10383.5494; 10482.3064; 10576.8734;
    10668.7872; 10764.7156; 10862.0196; 10952.793; 11049.9748; 11146.0702;
    11241.4492; 11339.2772; 11434.2336; 11530.741; 11627.6136; 11726.311;
    11821.5964; 11918.837; 12015.3724; 12113.0162; 12213.0424; 12306.9804;
    12408.4518; 12504.8968; 12604.586; 12700.9332; 12798.705; 12898.5142;
    12997.0488; 13094.788; 13198.475; 13292.7764; 13392.9698; 13486.8574;
    13590.1616; 13686.5838; 13783.6264; 13887.2638; 13992.0978; 14081.0844;
    14189.9956; 14280.0912; 14382.4956; 14486.4384; 14588.1082; 14686.2392;
    14782.276; 14888.0284; 14985.1864; 15088.8596; 15187.0998; 15285.027;
    15383.6694; 15495.8266; 15591.3736; 15694.2008; 15790.3246; 15898.4116;
    15997.4522; 16095.5014; 16198.8514; 16291.7492; 16402.6424; 16499.1266;
    16606.2436; 16697.7186; 16796.3946; 16902.3376; 17005.7672; 17100.814;
    17206.8282; 17305.8262; 17416.0744; 17508.4092; 17617.0178; 17715.4554;
    17816.758; 17920.1748; 18012.9236; 18119.7984; 18223.2248; 18324.2482;
    18426.6276; 18525.0932; 18629.8976; 18733.2588; 18831.0466; 18940.1366;
    19032.2696; 19131.729; 19243.4864; 19349.6932; 19442.866; 19547.9448;
    19653.2798; 19754.4034; 19854.0692; 19965.1224; 20065.1774; 20158.2212;
    20253.353; 20366.3264; 20463.22; |];
   precision 13
  [| 5908.5052; 6007.2672; 6107.347; 6208.5794; 6311.2622; 6414.5514; 6519.3376;
    6625.6952; 6732.5988; 6841.3552; 6950.5972; 7061.3082; 7173.5646; 7287.109;
    7401.8216; 7516.4344; 7633.3802; 7751.2962; 7870.3784; 7990.292; 8110.79;
    8233.4574; 8356.6036; 8482.2712; 8607.7708; 8735.099; 8863.1858; 8993.4746;
    9123.8496; 9255.6794; 9388.5448; 9522.7516; 9657.3106; 9792.6094;
    9930.5642; 10068.794; 10206.7256; 10347.81; 10490.3196; 10632.0778;
    10775.9916; 10920.4662; 11066.124; 11213.073; 11358.0362; 11508.1006;
    11659.1716; 11808.7514; 11959.4884; 12112.1314; 12265.037; 12420.3756;
    12578.933; 12734.311; 12890.0006; 13047.2144; 13207.3096; 13368.5144;
    13528.024; 13689.847; 13852.7528; 14018.3168; 14180.5372; 14346.9668;
    14513.5074; 14677.867; 14846.2186; 15017.4186; 15184.9716; 15356.339;
    15529.2972; 15697.3578; 15871.8686; 16042.187; 16216.4094; 16389.4188;
    16565.9126; 16742.3272; 16919.0042; 17094.7592; 17273.965; 17451.8342;
    17634.4254; 17810.5984; 17988.9242; 18171.051; 18354.7938; 18539.466;
    18721.0408; 18904.9972; 19081.867; 19271.9118; 19451.8694; 19637.9816;
    19821.2922; 20013.1292; 20199.3858; 20387.8726; 20572.9514; 20770.7764;
    20955.1714; 21144.751; 21329.9952; 21520.709; 21712.7016; 21906.3868;
    22096.2626; 22286.0524; 22475.051; 22665.5098; 22862.8492; 23055.5294;
    23249.6138; 23437.848; 23636.273; 23826.093; 24020.3296; 24213.3896;
    24411.7392; 24602.9614; 24805.7952; 24998.1552; 25193.9588; 25389.0166;
    25585.8392; 25780.6976; 25981.2728; 26175.977; 26376.5252; 26570.1964;
    26773.387; 26962.9812; 27163.0586; 27368.164; 27565.0534; 27758.7428;
    27961.1276; 28163.2324; 28362.3816; 28565.7668; 28758.644; 28956.9768;
    29163.4722; 29354.7026; 29561.1186; 29767.9948; 29959.9986; 30164.0492;
    30366.9818; 30562.5338; 30762.9928; 30976.1592; 31166.274; 31376.722;
    31570.3734; 31770.809; 31974.8934; 32179.5286; 32387.5442; 32582.3504;
    32794.076; 32989.9528; 33191.842; 33392.4684; 33595.659; 33801.8672;
    34000.3414; 34200.0922; 34402.6792; 34610.0638; 34804.0084; 35011.13;
    35218.669; 35418.6634; 35619.0792; 35830.6534; 36028.4966; 36229.7902;
    36438.6422; 36630.7764; 36833.3102; 37048.6728; 37247.3916; 37453.5904;
    37669.3614; 37854.5526; 38059.305; 38268.0936; 38470.2516; 38674.7064;
    38876.167; 39068.3794; 39281.9144; 39492.8566; 39684.8628; 39898.4108;
    40093.1836; 40297.6858; 40489.7086; 40717.2424; |];
   precision 14
  [| 11817.475; 12015.0046; 12215.3792; 12417.7504; 12623.1814; 12830.0086;
    13040.0072; 13252.503; 13466.178; 13683.2738; 13902.0344; 14123.9798;
    14347.394; 14573.7784; 14802.6894; 15033.6824; 15266.9134; 15502.8624;
    15741.4944; 15980.7956; 16223.8916; 16468.6316; 16715.733; 16965.5726;
    17217.204; 17470.666; 17727.8516; 17986.7886; 18247.6902; 18510.9632;
    18775.304; 19044.7486; 19314.4408; 19587.202; 19862.2576; 20135.924;
    20417.0324; 20697.9788; 20979.6112; 21265.0274; 21550.723; 21841.6906;
    22132.162; 22428.1406; 22722.127; 23020.5606; 23319.7394; 23620.4014;
    23925.2728; 24226.9224; 24535.581; 24845.505; 25155.9618; 25470.3828;
    25785.9702; 26103.7764; 26420.4132; 26742.0186; 27062.8852; 27388.415;
    27714.6024; 28042.296; 28365.4494; 28701.1526; 29031.8008; 29364.2156;
    29704.497; 30037.1458; 30380.111; 30723.8168; 31059.5114; 31404.9498;
    31751.6752; 32095.2686; 32444.7792; 32794.767; 33145.204; 33498.4226;
    33847.6502; 34209.006; 34560.849; 34919.4838; 35274.9778; 35635.1322;
    35996.3266; 36359.1394; 36722.8266; 37082.8516; 37447.7354; 37815.9606;
    38191.0692; 38559.4106; 38924.8112; 39294.6726; 39663.973; 40042.261;
    40416.2036; 40779.2036; 41161.6436; 41540.9014; 41921.1998; 42294.7698;
    42678.5264; 43061.3464; 43432.375; 43818.432; 44198.6598; 44583.0138;
    44970.4794; 45353.924; 45729.858; 46118.2224; 46511.5724; 46900.7386;
    47280.6964; 47668.1472; 48055.6796; 48446.9436; 48838.7146; 49217.7296;
    49613.7796; 50010.7508; 50410.0208; 50793.7886; 51190.2456; 51583.1882;
    51971.0796; 52376.5338; 52763.319; 53165.5534; 53556.5594; 53948.2702;
    54346.352; 54748.7914; 55138.577; 55543.4824; 55941.1748; 56333.7746;
    56745.1552; 57142.7944; 57545.2236; 57935.9956; 58348.5268; 58737.5474;
    59158.5962; 59542.6896; 59958.8004; 60349.3788; 60755.0212; 61147.6144;
    61548.194; 61946.0696; 62348.6042; 62763.603; 63162.781; 63560.635;
    63974.3482; 64366.4908; 64771.5876; 65176.7346; 65597.3916; 65995.915;
    66394.0384; 66822.9396; 67203.6336; 67612.2032; 68019.0078; 68420.0388;
    68821.22; 69235.8388; 69640.0724; 70055.155; 70466.357; 70863.4266;
    71276.2482; 71677.0306; 72080.2006; 72493.0214; 72893.5952; 73314.5856;
    73714.9852; 74125.3022; 74521.2122; 74933.6814; 75341.5904; 75743.0244;
    76166.0278; 76572.1322; 76973.1028; 77381.6284; 77800.6092; 78189.328;
    78607.0962; 79012.2508; 79407.8358; 79825.725; 80238.701; 80646.891;
    81035.6436; 81460.0448; 81876.3884; |];
   precision 15
  [| 23635.0036; 24030.8034; 24431.4744; 24837.1524; 25246.7928; 25661.326;
    26081.3532; 26505.2806; 26933.9892; 27367.7098; 27805.318; 28248.799;
    28696.4382; 29148.8244; 29605.5138; 30066.8668; 30534.2344; 31006.32;
    31480.778; 31962.2418; 32447.3324; 32938.0232; 33432.731; 33930.728;
    34433.9896; 34944.1402; 35457.5588; 35974.5958; 36497.3296; 37021.9096;
    37554.326; 38088.0826; 38628.8816; 39171.3192; 39723.2326; 40274.5554;
    40832.3142; 41390.613; 41959.5908; 42532.5466; 43102.0344; 43683.5072;
    44266.694; 44851.2822; 45440.7862; 46038.0586; 46640.3164; 47241.064;
    47846.155; 48454.7396; 49076.9168; 49692.542; 50317.4778; 50939.65;
    51572.5596; 52210.2906; 52843.7396; 53481.3996; 54127.236; 54770.406;
    55422.6598; 56078.7958; 56736.7174; 57397.6784; 58064.5784; 58730.308;
    59404.9784; 60077.0864; 60751.9158; 61444.1386; 62115.817; 62808.7742;
    63501.4774; 64187.5454; 64883.6622; 65582.7468; 66274.5318; 66976.9276;
    67688.7764; 68402.138; 69109.6274; 69822.9706; 70543.6108; 71265.5202;
    71983.3848; 72708.4656; 73433.384; 74158.4664; 74896.4868; 75620.9564;
    76362.1434; 77098.3204; 77835.7662; 78582.6114; 79323.9902; 80067.8658;
    80814.9246; 81567.0136; 82310.8536; 83061.9952; 83821.4096; 84580.8608;
    85335.547; 86092.5802; 86851.6506; 87612.311; 88381.2016; 89146.3296;
    89907.8974; 90676.846; 91451.4152; 92224.5518; 92995.8686; 93763.5066;
    94551.2796; 95315.1944; 96096.1806; 96881.0918; 97665.679; 98442.68;
    99229.3002; 100011.0994; 100790.6386; 101580.1564; 102377.7484;
    103152.1392; 103944.2712; 104730.216; 105528.6336; 106324.9398;
    107117.6706; 107890.3988; 108695.2266; 109485.238; 110294.7876;
    111075.0958; 111878.0496; 112695.2864; 113464.5486; 114270.0474;
    115068.608; 115884.3626; 116673.2588; 117483.3716; 118275.097; 119085.4092;
    119879.2808; 120687.5868; 121499.9944; 122284.916; 123095.9254;
    123912.5038; 124709.0454; 125503.7182; 126323.259; 127138.9412;
    127943.8294; 128755.646; 129556.5354; 130375.3298; 131161.4734;
    131971.1962; 132787.5458; 133588.1056; 134431.351; 135220.2906; 136023.398;
    136846.6558; 137667.0004; 138463.663; 139283.7154; 140074.6146;
    140901.3072; 141721.8548; 142543.2322; 143356.1096; 144173.7412;
    144973.0948; 145794.3162; 146609.5714; 147420.003; 148237.9784;
    149050.5696; 149854.761; 150663.1966; 151494.0754; 152313.1416;
    153112.6902; 153935.7206; 154746.9262; 155559.547; 156401.9746;
    157228.7036; 158008.7254; 158820.75; 159646.9184; 160470.4458; 161279.5348;
    162093.3114; 162918.542; 163729.2842; |];
   precision 16
  [| 47271.0; 48062.3584; 48862.7074; 49673.152; 50492.8416; 51322.9514; 52161.03;
    53009.407; 53867.6348; 54734.206; 55610.5144; 56496.2096; 57390.795;
    58297.268; 59210.6448; 60134.665; 61068.0248; 62010.4472; 62962.5204;
    63923.5742; 64895.0194; 65876.4182; 66862.6136; 67862.6968; 68868.8908;
    69882.8544; 70911.271; 71944.0924; 72990.0326; 74040.692; 75100.6336;
    76174.7826; 77252.5998; 78340.2974; 79438.2572; 80545.4976; 81657.2796;
    82784.6336; 83915.515; 85059.7362; 86205.9368; 87364.4424; 88530.3358;
    89707.3744; 90885.9638; 92080.197; 93275.5738; 94479.391; 95695.918;
    96919.2236; 98148.4602; 99382.3474; 100625.6974; 101878.0284; 103141.6278;
    104409.4588; 105686.2882; 106967.5402; 108261.6032; 109548.1578; 110852.0728;
    112162.231; 113479.0072; 114806.2626; 116137.9072; 117469.5048; 118813.5186;
    120165.4876; 121516.2556; 122875.766; 124250.5444; 125621.2222; 127003.2352;
    128387.848; 129775.2644; 131181.7776; 132577.3086; 133979.9458; 135394.1132;
    136800.9078; 138233.217; 139668.5308; 141085.212; 142535.2122; 143969.0684;
    145420.2872; 146878.1542; 148332.7572; 149800.3202; 151269.66; 152743.6104;
    154213.0948; 155690.288; 157169.4246; 158672.1756; 160160.059; 161650.6854;
    163145.7772; 164645.6726; 166159.1952; 167682.1578; 169177.3328;
    170700.0118; 172228.8964; 173732.6664; 175265.5556; 176787.799; 178317.111;
    179856.6914; 181400.865; 182943.4612; 184486.742; 186033.4698; 187583.7886;
    189148.1868; 190688.4526; 192250.1926; 193810.9042; 195354.2972;
    196938.7682; 198493.5898; 200079.2824; 201618.912; 203205.5492;
    204765.5798; 206356.1124; 207929.3064; 209498.7196; 211086.229;
    212675.1324; 214256.7892; 215826.2392; 217412.8474; 218995.6724;
    220618.6038; 222207.1166; 223781.0364; 225387.4332; 227005.7928;
    228590.4336; 230217.8738; 231805.1054; 233408.9; 234995.3432; 236601.4956;
    238190.7904; 239817.2548; 241411.2832; 243002.4066; 244640.1884;
    246255.3128; 247849.3508; 249479.9734; 251106.8822; 252705.027;
    254332.9242; 255935.129; 257526.9014; 259154.772; 260777.625; 262390.253;
    264004.4906; 265643.59; 267255.4076; 268873.426; 270470.7252; 272106.4804;
    273722.4456; 275337.794; 276945.7038; 278592.9154; 280204.3726;
    281841.1606; 283489.171; 285130.1716; 286735.3362; 288364.7164;
    289961.1814; 291595.5524; 293285.683; 294899.6668; 296499.3434;
    298128.0462; 299761.8946; 301394.2424; 302997.6748; 304615.1478;
    306269.7724; 307886.114; 309543.1028; 311153.2862; 312782.8546;
    314421.2008; 316033.2438; 317692.9636; 319305.2648; 320948.7406;
    322566.3364; 324228.4224; 325847.1542; |];
   precision 17
  [| 94542.0; 96125.811; 97728.019; 99348.558; 100987.9705; 102646.7565;
    104324.5125; 106021.7435; 107736.7865; 109469.272; 111223.9465; 112995.219;
    114787.432; 116593.152; 118422.71; 120267.2345; 122134.6765; 124020.937;
    125927.2705; 127851.255; 129788.9485; 131751.016; 133726.8225; 135722.592;
    137736.789; 139770.568; 141821.518; 143891.343; 145982.1415; 148095.387;
    150207.526; 152355.649; 154515.6415; 156696.05; 158887.7575; 161098.159;
    163329.852; 165569.053; 167837.4005; 170121.6165; 172420.4595; 174732.6265;
    177062.77; 179412.502; 181774.035; 184151.939; 186551.6895; 188965.691;
    191402.8095; 193857.949; 196305.0775; 198774.6715; 201271.2585; 203764.78;
    206299.3695; 208818.1365; 211373.115; 213946.7465; 216532.076; 219105.541;
    221714.5375; 224337.5135; 226977.5125; 229613.0655; 232270.2685; 234952.2065;
    237645.3555; 240331.1925; 243034.517; 245756.0725; 248517.6865; 251232.737;
    254011.3955; 256785.995; 259556.44; 262368.335; 265156.911; 267965.266;
    270785.583; 273616.0495; 276487.4835; 279346.639; 282202.509; 285074.3885;
    287942.2855; 290856.018; 293774.0345; 296678.5145; 299603.6355;
    302552.6575; 305492.9785; 308466.8605; 311392.581; 314347.538; 317319.4295;
    320285.9785; 323301.7325; 326298.3235; 329301.3105; 332301.987; 335309.791;
    338370.762; 341382.923; 344431.1265; 347464.1545; 350507.28; 353619.2345;
    356631.2005; 359685.203; 362776.7845; 365886.488; 368958.2255; 372060.6825;
    375165.4335; 378237.935; 381328.311; 384430.5225; 387576.425; 390683.242;
    393839.648; 396977.8425; 400101.9805; 403271.296; 406409.8425; 409529.5485;
    412678.7; 415847.423; 419020.8035; 422157.081; 425337.749; 428479.6165;
    431700.902; 434893.1915; 438049.582; 441210.5415; 444379.2545; 447577.356;
    450741.931; 453959.548; 457137.0935; 460329.846; 463537.4815; 466732.3345;
    469960.5615; 473164.681; 476347.6345; 479496.173; 482813.1645; 486025.6995;
    489249.4885; 492460.1945; 495675.8805; 498908.0075; 502131.802;
    505374.3855; 508550.9915; 511806.7305; 515026.776; 518217.0005;
    521523.9855; 524705.9855; 527950.997; 531210.0265; 534472.497; 537750.7315;
    540926.922; 544207.094; 547429.4345; 550666.3745; 553975.3475; 557150.7185;
    560399.6165; 563662.697; 566916.7395; 570146.1215; 573447.425; 576689.6245;
    579874.5745; 583202.337; 586503.0255; 589715.635; 592910.161; 596214.3885;
    599488.035; 602740.92; 605983.0685; 609248.67; 612491.3605; 615787.912;
    619107.5245; 622307.9555; 625577.333; 628840.4385; 632085.2155;
    635317.6135; 638691.7195; 641887.467; 645139.9405; 648441.546; 651666.252;
    654941.845; |];
   precision 18
  [| 189084.0; 192250.913; 195456.774; 198696.946; 201977.762; 205294.444;
    208651.754; 212042.099; 215472.269; 218941.91; 222443.912; 225996.845;
    229568.199; 233193.568; 236844.457; 240543.233; 244279.475; 248044.27;
    251854.588; 255693.2; 259583.619; 263494.621; 267445.385; 271454.061;
    275468.769; 279549.456; 283646.446; 287788.198; 291966.099; 296181.164;
    300431.469; 304718.618; 309024.004; 313393.508; 317760.803; 322209.731;
    326675.061; 331160.627; 335654.47; 340241.442; 344841.833; 349467.132;
    354130.629; 358819.432; 363574.626; 368296.587; 373118.482; 377914.93;
    382782.301; 387680.669; 392601.981; 397544.323; 402529.115; 407546.018;
    412593.658; 417638.657; 422762.865; 427886.169; 433017.167; 438213.273;
    443441.254; 448692.421; 453937.533; 459239.049; 464529.569; 469910.083;
    475274.03; 480684.473; 486070.26; 491515.237; 496995.651; 502476.617;
    507973.609; 513497.19; 519083.233; 524726.509; 530305.505; 535945.728;
    541584.404; 547274.055; 552967.236; 558667.862; 564360.216; 570128.148;
    575965.08; 581701.952; 587532.523; 593361.144; 599246.128; 605033.418;
    610958.779; 616837.117; 622772.818; 628672.04; 634675.369; 640574.831;
    646585.739; 652574.547; 658611.217; 664642.684; 670713.914; 676737.681;
    682797.313; 688837.897; 694917.874; 701009.882; 707173.648; 713257.254;
    719415.392; 725636.761; 731710.697; 737906.209; 744103.074; 750313.39;
    756504.185; 762712.579; 768876.985; 775167.859; 781359.0; 787615.959;
    793863.597; 800245.477; 806464.582; 812785.294; 819005.925; 825403.057;
    831676.197; 837936.284; 844266.968; 850642.711; 856959.756; 863322.774;
    869699.931; 876102.478; 882355.787; 888694.463; 895159.952; 901536.143;
    907872.631; 914293.672; 920615.14; 927130.974; 933409.404; 939922.178;
    946331.47; 952745.93; 959209.264; 965590.224; 972077.284; 978501.961;
    984953.19; 991413.271; 997817.479; 1004222.658; 1010725.676; 1017177.138;
    1023612.529; 1030098.236; 1036493.719; 1043112.207; 1049537.036;
    1056008.096; 1062476.184; 1068942.337; 1075524.95; 1081932.864;
    1088426.025; 1094776.005; 1101327.448; 1107901.673; 1114423.639;
    1120884.602; 1127324.923; 1133794.24; 1140328.886; 1146849.376;
    1153346.682; 1159836.502; 1166478.703; 1172953.304; 1179391.502;
    1185950.982; 1192544.052; 1198913.41; 1205430.994; 1212015.525;
    1218674.042; 1225121.683; 1231551.101; 1238126.379; 1244673.795;
    1251260.649; 1257697.86; 1264320.983; 1270736.319; 1277274.694; 1283804.95;
    1290211.514; 1296858.568; 1303455.691; |]
|]


let bias_data = [|
   precision 4
  [| 10.0; 9.717; 9.207; 8.7896; 8.2882; 7.8204; 7.3772; 6.9342; 6.5202; 6.161;
    5.7722; 5.4636; 5.0396; 4.6766; 4.3566; 4.0454; 3.7936; 3.4856; 3.2666;
    2.9946; 2.766; 2.4692; 2.3638; 2.0764; 1.7864; 1.7602; 1.4814; 1.433;
    1.2926; 1.0664; 0.999600000000001; 0.7956; 0.5366; 0.589399999999998;
    0.573799999999999; 0.269799999999996; 0.368200000000002;
    0.0544000000000011; 0.234200000000001; 0.0108000000000033;
    -0.203400000000002; -0.0701999999999998; -0.129600000000003;
    -0.364199999999997; -0.480600000000003; -0.226999999999997;
    -0.322800000000001; -0.382599999999996; -0.511200000000002;
    -0.669600000000003; -0.749400000000001; -0.500399999999999;
    -0.617600000000003; -0.6922; -0.601599999999998; -0.416200000000003;
    -0.338200000000001; -0.782600000000002; -0.648600000000002;
    -0.919800000000002; -0.851799999999997; -0.962400000000002; -0.6402;
    -1.1922; -1.0256; -1.086; -1.21899999999999; -0.819400000000002;
    -0.940600000000003; -1.1554; -1.2072; -1.1752; -1.16759999999999;
    -1.14019999999999; -1.3754; -1.29859999999999; -1.607; -1.3292; -1.7606; |];
   precision 5
  [| 22.0; 21.1194; 20.8208; 20.2318; 19.77; 19.2436; 18.7774; 18.2848; 17.8224;
    17.3742; 16.9336; 16.503; 16.0494; 15.6292; 15.2124; 14.798; 14.367;
    13.9728; 13.5944; 13.217; 12.8438; 12.3696; 12.0956; 11.7044; 11.324;
    11.0668; 10.6698; 10.3644; 10.049; 9.6918; 9.4146; 9.082; 8.687; 8.5398;
    8.2462; 7.857; 7.6606; 7.4168; 7.1248; 6.9222; 6.6804; 6.447; 6.3454;
    5.9594; 5.7636; 5.5776; 5.331; 5.19; 4.9676; 4.7564; 4.5314; 4.4442;
    4.3708; 3.9774; 3.9624; 3.8796; 3.755; 3.472; 3.2076; 3.1024; 2.8908;
    2.7338; 2.7728; 2.629; 2.413; 2.3266; 2.1524; 2.2642; 2.1806; 2.0566;
    1.9192; 1.7598; 1.3516; 1.5802; 1.43859999999999; 1.49160000000001; 1.1524;
    1.1892; 0.841399999999993; 0.879800000000003; 0.837599999999995;
    0.469800000000006; 0.765600000000006; 0.331000000000003; 0.591399999999993;
    0.601200000000006; 0.701599999999999; 0.558199999999999; 0.339399999999998;
    0.354399999999998; 0.491200000000006; 0.308000000000007; 0.355199999999996;
    -0.0254000000000048; 0.205200000000005; -0.272999999999996;
    0.132199999999997; 0.394400000000005; -0.241200000000006;
    0.242000000000004; 0.191400000000002; 0.253799999999998;
    -0.122399999999999; -0.370800000000003; 0.193200000000004;
    -0.0848000000000013; 0.0867999999999967; -0.327200000000005;
    -0.285600000000002; 0.311400000000006; -0.128399999999999;
    -0.754999999999995; -0.209199999999996; -0.293599999999998;
    -0.364000000000004; -0.253600000000006; -0.821200000000005;
    -0.253600000000006; -0.510400000000004; -0.383399999999995;
    -0.491799999999998; -0.220200000000006; -0.0972000000000008;
    -0.557400000000001; -0.114599999999996; -0.295000000000002;
    -0.534800000000004; 0.346399999999988; -0.65379999999999;
    0.0398000000000138; 0.0341999999999985; -0.995800000000003;
    -0.523400000000009; -0.489000000000004; -0.274799999999999;
    -0.574999999999989; -0.482799999999997; 0.0571999999999946;
    -0.330600000000004; -0.628800000000012; -0.140199999999993;
    -0.540600000000012; -0.445999999999998; -0.599400000000003;
    -0.262599999999992; 0.163399999999996; -0.100599999999986;
    -0.39500000000001; -1.06960000000001; -0.836399999999998;
    -0.753199999999993; -0.412399999999991; -0.790400000000005;
    -0.29679999999999; -0.28540000000001; -0.193000000000012; -0.0772000000000048;
    -0.962799999999987; -0.414800000000014; |];
   precision 6
  [| 45.0; 44.1902; 43.271; 42.8358; 41.8142; 41.2854; 40.317; 39.354; 38.8924;
    37.9436; 37.4596; 36.5262; 35.6248; 35.1574; 34.2822; 33.837; 32.9636;
    32.074; 31.7042; 30.7976; 30.4772; 29.6564; 28.7942; 28.5004; 27.686;
    27.291; 26.5672; 25.8556; 25.4982; 24.8204; 24.4252; 23.7744; 23.0786;
    22.8344; 22.0294; 21.8098; 21.0794; 20.5732; 20.1878; 19.5648; 19.2902;
    18.6784; 18.3352; 17.8946; 17.3712; 17.0852; 16.499; 16.2686; 15.6844;
    15.2234; 14.9732; 14.3356; 14.2286; 13.7262; 13.3284; 13.1048; 12.5962;
    12.3562; 12.1272; 11.4184; 11.4974; 11.0822; 10.856; 10.48; 10.2834;
    10.0208; 9.637; 9.51739999999999; 9.05759999999999; 8.74760000000001;
    8.42700000000001; 8.1326; 8.2372; 8.2788; 7.6776; 7.79259999999999; 7.1952;
    6.9564; 6.6454; 6.87; 6.5428; 6.19999999999999; 6.02940000000001;
    5.62780000000001; 5.6782; 5.792; 5.35159999999999; 5.28319999999999;
    5.0394; 5.07480000000001; 4.49119999999999; 4.84899999999999; 4.696;
    4.54040000000001; 4.07300000000001; 4.37139999999999; 3.7216; 3.7328;
    3.42080000000001; 3.41839999999999; 3.94239999999999; 3.27719999999999;
    3.411; 3.13079999999999; 2.76900000000001; 2.92580000000001;
    2.68279999999999; 2.75020000000001; 2.70599999999999; 2.3886;
    3.01859999999999; 2.45179999999999; 2.92699999999999; 2.41720000000001;
    2.41139999999999; 2.03299999999999; 2.51240000000001; 2.5564;
    2.60079999999999; 2.41720000000001; 1.80439999999999; 1.99700000000001;
    2.45480000000001; 1.8948; 2.2346; 2.30860000000001; 2.15479999999999;
    1.88419999999999; 1.6508; 0.677199999999999; 1.72540000000001; 1.4752;
    1.72280000000001; 1.66139999999999; 1.16759999999999; 1.79300000000001;
    1.00059999999999; 0.905200000000008; 0.659999999999997; 1.55879999999999;
    1.1636; 0.688199999999995; 0.712600000000009; 0.450199999999995; 1.1978;
    0.975599999999986; 0.165400000000005; 1.727; 1.19739999999999;
    -0.252600000000001; 1.13460000000001; 1.3048; 1.19479999999999;
    0.313400000000001; 0.878999999999991; 1.12039999999999; 0.853000000000009;
    1.67920000000001; 0.856999999999999; 0.448599999999999; 1.2362;
    0.953399999999988; 1.02859999999998; 0.563199999999995; 0.663000000000011;
    0.723000000000013; 0.756599999999992; 0.256599999999992; -0.837600000000009;
    0.620000000000005; 0.821599999999989; 0.216600000000028; 0.205600000000004;
    0.220199999999977; 0.372599999999977; 0.334400000000016; 0.928400000000011;
    0.972800000000007; 0.192400000000021; 0.487199999999973; -0.413000000000011;
    0.807000000000016; 0.120600000000024; 0.769000000000005; 0.870799999999974;
    0.66500000000002; 0.118200000000002; 0.401200000000017; 0.635199999999998;
    0.135400000000004; 0.175599999999974; 1.16059999999999; 0.34620000000001;
    0.521400000000028; -0.586599999999976; -1.16480000000001; 0.968399999999974;
    0.836999999999989; 0.779600000000016; 0.985799999999983; |];
   precision 7
  [| 91.0; 89.4934; 87.9758; 86.4574; 84.9718; 83.4954; 81.5302; 80.0756;
    78.6374; 77.1782; 75.7888; 73.9522; 72.592; 71.2532; 69.9086; 68.5938;
    66.9474; 65.6796; 64.4394; 63.2176; 61.9768; 60.4214; 59.2528; 58.0102;
    56.8658; 55.7278; 54.3044; 53.1316; 52.093; 51.0032; 49.9092; 48.6306;
    47.5294; 46.5756; 45.6508; 44.662; 43.552; 42.3724; 41.617; 40.5754;
    39.7872; 38.8444; 37.7988; 36.8606; 36.2118; 35.3566; 34.4476; 33.5882;
    32.6816; 32.0824; 31.0258; 30.6048; 29.4436; 28.7274; 27.957; 27.147;
    26.4364; 25.7592; 25.3386; 24.781; 23.8028; 23.656; 22.6544; 21.996;
    21.4718; 21.1544; 20.6098; 19.5956; 19.0616; 18.5758; 18.4878; 17.5244;
    17.2146; 16.724; 15.8722; 15.5198; 15.0414; 14.941; 14.9048; 13.87;
    13.4304; 13.028; 12.4708; 12.37; 12.0624; 11.4668; 11.5532; 11.4352;
    11.2564; 10.2744; 10.2118; 9.74720000000002; 10.1456; 9.2928;
    8.75040000000001; 8.55279999999999; 8.97899999999998; 8.21019999999999;
    8.18340000000001; 7.3494; 7.32499999999999; 7.66140000000001;
    6.90300000000002; 7.25439999999998; 6.9042; 7.21499999999997;
    6.28640000000001; 6.08139999999997; 6.6764; 6.30099999999999;
    5.13900000000001; 5.65800000000002; 5.17320000000001; 4.59019999999998;
    4.9538; 5.08280000000002; 4.92200000000003; 4.99020000000002; 4.7328;
    5.4538; 4.11360000000002; 4.22340000000003; 4.08780000000002;
    3.70800000000003; 4.15559999999999; 4.18520000000001; 3.63720000000001;
    3.68220000000002; 3.77960000000002; 3.6078; 2.49160000000001;
    3.13099999999997; 2.5376; 3.19880000000001; 3.21100000000001; 2.4502;
    3.52820000000003; 2.91199999999998; 3.04480000000001; 2.7432;
    2.85239999999999; 2.79880000000003; 2.78579999999999; 1.88679999999999;
    2.98860000000002; 2.50639999999999; 1.91239999999999; 2.66160000000002;
    2.46820000000002; 1.58199999999999; 1.30399999999997; 2.27379999999999;
    2.68939999999998; 1.32900000000001; 3.10599999999999; 1.69080000000002;
    2.13740000000001; 2.53219999999999; 1.88479999999998; 1.33240000000001;
    1.45119999999997; 1.17899999999997; 2.44119999999998; 1.60659999999996;
    2.16700000000003; 0.77940000000001; 2.37900000000002; 2.06700000000001;
    1.46000000000004; 2.91160000000002; 1.69200000000001; 0.954600000000028;
    2.49300000000005; 2.2722; 1.33500000000004; 2.44899999999996;
    1.20140000000004; 3.07380000000001; 2.09739999999999; 2.85640000000001;
    2.29960000000005; 2.40899999999999; 1.97040000000004; 0.809799999999996;
    1.65279999999996; 2.59979999999996; 0.95799999999997; 2.06799999999998;
    2.32780000000002; 4.20159999999998; 1.96320000000003; 1.86400000000003;
    1.42999999999995; 3.77940000000001; 1.27200000000005; 1.86440000000005;
    2.20600000000002; 3.21900000000005; 1.5154; 2.61019999999996; |];
   precision 8
  [| 183.2152; 180.2454; 177.2096; 173.6652; 170.6312; 167.6822; 164.249;
    161.3296; 158.0038; 155.2074; 152.4612; 149.27; 146.5178; 143.4412;
    140.8032; 138.1634; 135.1688; 132.6074; 129.6946; 127.2664; 124.8228;
    122.0432; 119.6824; 116.9464; 114.6268; 112.2626; 109.8376; 107.4034;
    104.8956; 102.8522; 100.7638; 98.3552; 96.3556; 93.7526; 91.9292;
    89.8954; 87.8198; 85.7668; 83.298; 81.6688; 79.9466; 77.9746; 76.1672;
    74.3474; 72.3028; 70.8912; 69.114; 67.4646; 65.9744; 64.4092; 62.6022;
    60.843; 59.5684; 58.1652; 56.5426; 55.4152; 53.5388; 52.3592; 51.1366;
    49.486; 48.3918; 46.5076; 45.509; 44.3834; 43.3498; 42.0668; 40.7346;
    40.1228; 38.4528; 37.7; 36.644; 36.0518; 34.5774; 33.9068; 32.432; 32.1666;
    30.434; 29.6644; 28.4894; 27.6312; 26.3804; 26.292; 25.5496000000001;
    25.0234; 24.8206; 22.6146; 22.4188; 22.117; 20.6762; 20.6576; 19.7864;
    19.509; 18.5334; 17.9204; 17.772; 16.2924; 16.8654; 15.1836; 15.745;
    15.1316; 15.0386; 14.0136; 13.6342; 12.6196; 12.1866; 12.4281999999999;
    11.3324; 10.4794000000001; 11.5038; 10.129; 9.52800000000002;
    10.3203999999999; 9.46299999999997; 9.79280000000006; 9.12300000000005;
    8.74180000000001; 9.2192; 7.51020000000005; 7.60659999999996;
    7.01840000000004; 7.22239999999999; 7.40139999999997; 6.76179999999999;
    7.14359999999999; 5.65060000000005; 5.63779999999997; 5.76599999999996;
    6.75139999999999; 5.57759999999996; 3.73220000000003; 5.8048;
    5.63019999999995; 4.93359999999996; 3.47979999999995; 4.33879999999999;
    3.98940000000005; 3.81960000000004; 3.31359999999995; 3.23080000000004;
    3.4588; 3.08159999999998; 3.4076; 3.00639999999999; 2.38779999999997;
    2.61900000000003; 1.99800000000005; 3.34820000000002; 2.95060000000001;
    0.990999999999985; 2.11440000000005; 2.20299999999997; 2.82219999999995;
    2.73239999999998; 2.7826; 3.76660000000004; 2.26480000000004;
    2.31280000000004; 2.40819999999997; 2.75360000000001; 3.33759999999995;
    2.71559999999999; 1.7478000000001; 1.42920000000004; 2.39300000000003;
    2.22779999999989; 2.34339999999997; 0.87259999999992; 3.88400000000001;
    1.80600000000004; 1.91759999999999; 1.16779999999994; 1.50320000000011;
    2.52500000000009; 0.226400000000012; 2.31500000000005; 0.930000000000064;
    1.25199999999995; 2.14959999999996; 0.0407999999999902; 2.5447999999999;
    1.32960000000003; 0.197400000000016; 2.52620000000002; 3.33279999999991;
    -1.34300000000007; 0.422199999999975; 0.917200000000093; 1.12920000000008;
    1.46060000000011; 1.45779999999991; 2.8728000000001; 3.33359999999993;
    -1.34079999999994; 1.57680000000005; 0.363000000000056; 1.40740000000005;
    0.656600000000026; 0.801400000000058; -0.454600000000028; 1.51919999999996;
  |];
   precision 9
  [| 368.0; 361.8294; 355.2452; 348.6698; 342.1464; 336.2024; 329.8782;
    323.6598; 317.462; 311.2826; 305.7102; 299.7416; 293.9366; 288.1046;
    282.285; 277.0668; 271.306; 265.8448; 260.301; 254.9886; 250.2422;
    244.8138; 239.7074; 234.7428; 229.8402; 225.1664; 220.3534; 215.594;
    210.6886; 205.7876; 201.65; 197.228; 192.8036; 188.1666; 184.0818;
    180.0824; 176.2574; 172.302; 168.1644; 164.0056; 160.3802; 156.7192;
    152.5234; 149.2084; 145.831; 142.485; 139.1112; 135.4764; 131.76; 129.3368;
    126.5538; 122.5058; 119.2646; 116.5902; 113.3818; 110.8998; 107.9532;
    105.2062; 102.2798; 99.4728; 96.9582; 94.3292; 92.171; 89.7809999999999;
    87.5716; 84.7048; 82.5322; 79.875; 78.3972; 75.3464; 73.7274; 71.2834;
    70.1444; 68.4263999999999; 66.0166; 64.018; 62.0437999999999;
    60.3399999999999; 58.6856; 57.9836; 55.0311999999999; 54.6769999999999;
    52.3188; 51.4846; 49.4423999999999; 47.739; 46.1487999999999; 44.9202;
    43.4059999999999; 42.5342000000001; 41.2834; 38.8954000000001;
    38.3286000000001; 36.2146; 36.6684; 35.9946; 33.123; 33.4338;
    31.7378000000001; 29.076; 28.9692; 27.4964; 27.0998; 25.9864; 26.7754;
    24.3208; 23.4838; 22.7388000000001; 24.0758000000001; 21.9097999999999;
    20.9728; 19.9228000000001; 19.9292; 16.617; 17.05; 18.2996000000001;
    15.6128000000001; 15.7392; 14.5174; 13.6322; 12.2583999999999;
    13.3766000000001; 11.423; 13.1232; 9.51639999999998; 10.5938000000001;
    9.59719999999993; 8.12220000000002; 9.76739999999995; 7.50440000000003;
    7.56999999999994; 6.70440000000008; 6.41419999999994; 6.71019999999999;
    5.60940000000005; 4.65219999999999; 6.84099999999989; 3.4072000000001;
    3.97859999999991; 3.32760000000007; 5.52160000000003; 3.31860000000006;
    2.06940000000009; 4.35400000000004; 1.57500000000005; 0.280799999999999;
    2.12879999999996; -0.214799999999968; -0.0378000000000611; -0.658200000000079;
    0.654800000000023; -0.0697999999999865; 0.858400000000074; -2.52700000000004;
    -2.1751999999999; -3.35539999999992; -1.04019999999991; -0.651000000000067;
    -2.14439999999991; -1.96659999999997; -3.97939999999994;
    -0.604400000000169; -3.08260000000018; -3.39159999999993; -5.29640000000018;
    -5.38920000000007; -5.08759999999984; -4.69900000000007; -5.23720000000003;
    -3.15779999999995; -4.97879999999986; -4.89899999999989; -7.48880000000008;
    -5.94799999999987; -5.68060000000014; -6.67180000000008;
    -4.70499999999993; -7.27779999999984; -4.6579999999999; -4.4362000000001;
    -4.32139999999981; -5.18859999999995; -6.66879999999992; -6.48399999999992;
    -5.1260000000002; -4.4032000000002; -6.13500000000022; -5.80819999999994;
    -4.16719999999987; -4.15039999999999; -7.45600000000013; -7.24080000000004;
    -9.83179999999993; -5.80420000000004; -8.6561999999999; -6.99940000000015;
    -10.5473999999999; -7.34139999999979; -6.80999999999995; -6.29719999999998;
    -6.23199999999997; |];
   precision 10
  [| 737.1256; 724.4234; 711.1064; 698.4732; 685.4636; 673.0644; 660.488;
    647.9654; 636.0832; 623.7864; 612.1992; 600.2176; 588.5228; 577.1716;
    565.7752; 554.899; 543.6126; 532.6492; 521.9474; 511.5214; 501.1064;
    490.6364; 480.2468; 470.4588; 460.3832; 451.0584; 440.8606; 431.3868;
    422.5062; 413.1862; 404.463; 395.339; 386.1936; 378.1292; 369.1854;
    361.2908; 353.3324; 344.8518; 337.5204; 329.4854; 321.9318; 314.552;
    306.4658; 299.4256; 292.849; 286.152; 278.8956; 271.8792; 265.118; 258.62;
    252.5132; 245.9322; 239.7726; 233.6086; 227.5332; 222.5918; 216.4294;
    210.7662; 205.4106; 199.7338; 194.9012; 188.4486; 183.1556; 178.6338;
    173.7312; 169.6264; 163.9526; 159.8742; 155.8326; 151.1966; 147.5594;
    143.07; 140.037; 134.1804; 131.071; 127.4884; 124.0848; 120.2944; 117.333;
    112.9626; 110.2902; 107.0814; 103.0334; 99.4832000000001; 96.3899999999999;
    93.7202000000002; 90.1714000000002; 87.2357999999999; 85.9346;
    82.8910000000001; 80.0264000000002; 78.3834000000002; 75.1543999999999;
    73.8683999999998; 70.9895999999999; 69.4367999999999; 64.8701999999998;
    65.0408000000002; 61.6738; 59.5207999999998; 57.0158000000001; 54.2302;
    53.0962; 50.4985999999999; 52.2588000000001; 47.3914; 45.6244000000002;
    42.8377999999998; 43.0072; 40.6516000000001; 40.2453999999998; 35.2136;
    36.4546; 33.7849999999999; 33.2294000000002; 32.4679999999998;
    30.8670000000002; 28.6507999999999; 28.9099999999999; 27.5983999999999;
    26.1619999999998; 24.5563999999999; 23.2328000000002; 21.9484000000002;
    21.5902000000001; 21.3346000000001; 17.7031999999999; 20.6111999999998;
    19.5545999999999; 15.7375999999999; 17.0720000000001; 16.9517999999998;
    15.326; 13.1817999999998; 14.6925999999999; 13.0859999999998; 13.2754;
    10.8697999999999; 11.248; 7.3768; 4.72339999999986; 7.97899999999981;
    8.7503999999999; 7.68119999999999; 9.7199999999998; 7.73919999999998;
    5.6224000000002; 7.44560000000001; 6.6601999999998; 5.9058;
    4.00199999999995; 4.51699999999983; 4.68240000000014; 3.86220000000003;
    5.13639999999987; 5.98500000000013; 2.47719999999981; 2.61999999999989;
    1.62800000000016; 4.65000000000009; 0.225599999999758; 0.831000000000131;
    -0.359400000000278; 1.27599999999984; -2.92559999999958;
    -0.0303999999996449; 2.37079999999969; -2.0033999999996; 0.804600000000391;
    0.30199999999968; 1.1247999999996; -2.6880000000001; 0.0321999999996478;
    -1.18099999999959; -3.9402; -1.47940000000017; -0.188400000000001;
    -2.10720000000038; -2.04159999999956; -3.12880000000041; -4.16160000000036;
    -0.612799999999879; -3.48719999999958; -8.17900000000009;
    -5.37780000000021; -4.01379999999972; -5.58259999999973; -5.73719999999958;
    -7.66799999999967; -5.69520000000011; -1.1247999999996; -5.58520000000044;
    -8.04560000000038; -4.64840000000004; -11.6468000000004; -7.97519999999986;
    -5.78300000000036; -7.67420000000038; -10.6328000000003; -9.81720000000041;
  |];
   precision 11
  [| 1476.0; 1449.6014; 1423.5802; 1397.7942; 1372.3042; 1347.2062; 1321.8402;
    1297.2292; 1272.9462; 1248.9926; 1225.3026; 1201.4252; 1178.0578;
    1155.6092; 1132.626; 1110.5568; 1088.527; 1066.5154; 1045.1874;
    1024.3878; 1003.37; 982.1972; 962.5728; 942.1012; 922.9668; 903.292;
    884.0772; 864.8578; 846.6562; 828.041; 809.714; 792.3112; 775.1806;
    757.9854; 740.656; 724.346; 707.5154; 691.8378; 675.7448; 659.6722;
    645.5722; 630.1462; 614.4124; 600.8728; 585.898; 572.408; 558.4926;
    544.4938; 531.6776; 517.282; 505.7704; 493.1012; 480.7388; 467.6876;
    456.1872; 445.5048; 433.0214; 420.806; 411.409; 400.4144; 389.4294;
    379.2286; 369.651; 360.6156; 350.337; 342.083; 332.1538; 322.5094; 315.01;
    305.6686; 298.1678; 287.8116; 280.9978; 271.9204; 265.3286; 257.5706;
    249.6014; 242.544; 235.5976; 229.583; 220.9438; 214.672; 208.2786;
    201.8628; 195.1834; 191.505; 186.1816; 178.5188; 172.2294; 167.8908;
    161.0194; 158.052; 151.4588; 148.1596; 143.4344; 138.5238; 133.13;
    127.6374; 124.8162; 118.7894; 117.3984; 114.6078; 109.0858; 105.1036;
    103.6258; 98.6018000000004; 95.7618000000002; 93.5821999999998;
    88.5900000000001; 86.9992000000002; 82.8800000000001; 80.4539999999997;
    74.6981999999998; 74.3644000000004; 73.2914000000001; 65.5709999999999;
    66.9232000000002; 65.1913999999997; 62.5882000000001; 61.5702000000001;
    55.7035999999998; 56.1764000000003; 52.7596000000003; 53.0302000000001;
    49.0609999999997; 48.4694; 44.933; 46.0474000000004; 44.7165999999997;
    41.9416000000001; 39.9207999999999; 35.6328000000003; 35.5276000000003;
    33.1934000000001; 33.2371999999996; 33.3864000000003; 33.9228000000003;
    30.2371999999996; 29.1373999999996; 25.2272000000003; 24.2942000000003;
    19.8338000000003; 18.9005999999999; 23.0907999999999; 21.8544000000002;
    19.5176000000001; 15.4147999999996; 16.9314000000004; 18.6737999999996;
    12.9877999999999; 14.3688000000002; 12.0447999999997; 15.5219999999999;
    12.5299999999997; 14.5940000000001; 14.3131999999996; 9.45499999999993;
    12.9441999999999; 3.91139999999996; 13.1373999999996; 5.44720000000052;
    9.82779999999912; 7.87279999999919; 3.67760000000089; 5.46980000000076;
    5.55099999999948; 5.65979999999945; 3.89439999999922; 3.1275999999998;
    5.65140000000065; 6.3062000000009; 3.90799999999945; 1.87060000000019;
    5.17020000000048; 2.46680000000015; 0.770000000000437; -3.72340000000077;
    1.16400000000067; 8.05340000000069; 0.135399999999208; 2.15940000000046;
    0.766999999999825; 1.0594000000001; 3.15500000000065; -0.287399999999252;
    2.37219999999979; -2.86620000000039; -1.63199999999961; -2.22979999999916;
    -0.15519999999924; -1.46039999999994; -0.262199999999211;
    -2.34460000000036; -2.8078000000005; -3.22179999999935; -5.60159999999996;
    -8.42200000000048; -9.43740000000071; 0.161799999999857; -10.4755999999998;
    -10.0823999999993; |];
   precision 12
  [| 2953.0; 2900.4782; 2848.3568; 2796.3666; 2745.324; 2694.9598; 2644.648;
    2595.539; 2546.1474; 2498.2576; 2450.8376; 2403.6076; 2357.451; 2311.38;
    2266.4104; 2221.5638; 2176.9676; 2134.193; 2090.838; 2048.8548; 2007.018;
    1966.1742; 1925.4482; 1885.1294; 1846.4776; 1807.4044; 1768.8724;
    1731.3732; 1693.4304; 1657.5326; 1621.949; 1586.5532; 1551.7256;
    1517.6182; 1483.5186; 1450.4528; 1417.865; 1385.7164; 1352.6828;
    1322.6708; 1291.8312; 1260.9036; 1231.476; 1201.8652; 1173.6718; 1145.757;
    1119.2072; 1092.2828; 1065.0434; 1038.6264; 1014.3192; 988.5746; 965.0816;
    940.1176; 917.9796; 894.5576; 871.1858; 849.9144; 827.1142; 805.0818;
    783.9664; 763.9096; 742.0816; 724.3962; 706.3454; 688.018; 667.4214;
    650.3106; 633.0686; 613.8094; 597.818; 581.4248; 563.834; 547.363;
    531.5066; 520.455400000001; 505.583199999999; 488.366; 476.480799999999;
    459.7682; 450.0522; 434.328799999999; 423.952799999999; 408.727000000001;
    399.079400000001; 387.252200000001; 373.987999999999; 360.852000000001;
    351.6394; 339.642; 330.902400000001; 322.661599999999; 311.662200000001;
    301.3254; 291.7484; 279.939200000001; 276.7508; 263.215200000001;
    254.811400000001; 245.5494; 242.306399999999; 234.8734; 223.787200000001;
    217.7156; 212.0196; 200.793; 195.9748; 189.0702; 182.449199999999;
    177.2772; 170.2336; 164.741; 158.613600000001; 155.311; 147.5964; 142.837;
    137.3724; 132.0162; 130.0424; 121.9804; 120.451800000001; 114.8968;
    111.585999999999; 105.933199999999; 101.705; 98.5141999999996;
    95.0488000000005; 89.7880000000005; 91.4750000000004; 83.7764000000006;
    80.9698000000008; 72.8574000000008; 73.1615999999995; 67.5838000000003;
    62.6263999999992; 63.2638000000006; 66.0977999999996; 52.0843999999997;
    58.9956000000002; 47.0912000000008; 46.4956000000002; 48.4383999999991;
    47.1082000000006; 43.2392; 37.2759999999998; 40.0283999999992;
    35.1864000000005; 35.8595999999998; 32.0998; 28.027; 23.6694000000007;
    33.8266000000003; 26.3736000000008; 27.2008000000005; 21.3245999999999;
    26.4115999999995; 23.4521999999997; 19.5013999999992; 19.8513999999996;
    10.7492000000002; 18.6424000000006; 13.1265999999996; 18.2436000000016;
    6.71860000000015; 3.39459999999963; 6.33759999999893; 7.76719999999841;
    0.813999999998487; 3.82819999999992; 0.826199999999517; 8.07440000000133;
    -1.59080000000176; 5.01780000000144; 0.455399999998917; -0.24199999999837;
    0.174800000000687; -9.07640000000174; -4.20160000000033; -3.77520000000004;
    -4.75179999999818; -5.3724000000002; -8.90680000000066; -6.10239999999976;
    -5.74120000000039; -9.95339999999851; -3.86339999999836; -13.7304000000004;
    -16.2710000000006; -7.51359999999841; -3.30679999999847; -13.1339999999982;
    -10.0551999999989; -6.72019999999975; -8.59660000000076; -10.9307999999983;
    -1.8775999999998; -4.82259999999951; -13.7788; -21.6470000000008;
    -10.6735999999983; -15.7799999999988; |];
   precision 13
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    5290.3376; 5191.6952; 5093.5988; 4997.3552; 4902.5972; 4808.3082;
    4715.5646; 4624.109; 4533.8216; 4444.4344; 4356.3802; 4269.2962;
    4183.3784; 4098.292; 4014.79; 3932.4574; 3850.6036; 3771.2712; 3691.7708;
    3615.099; 3538.1858; 3463.4746; 3388.8496; 3315.6794; 3244.5448;
    3173.7516; 3103.3106; 3033.6094; 2966.5642; 2900.794; 2833.7256; 2769.81;
    2707.3196; 2644.0778; 2583.9916; 2523.4662; 2464.124; 2406.073; 2347.0362;
    2292.1006; 2238.1716; 2182.7514; 2128.4884; 2077.1314; 2025.037; 1975.3756;
    1928.933; 1879.311; 1831.0006; 1783.2144; 1738.3096; 1694.5144; 1649.024;
    1606.847; 1564.7528; 1525.3168; 1482.5372; 1443.9668; 1406.5074; 1365.867;
    1329.2186; 1295.4186; 1257.9716; 1225.339; 1193.2972; 1156.3578; 1125.8686;
    1091.187; 1061.4094; 1029.4188; 1000.9126; 972.3272; 944.004199999999;
    915.7592; 889.965; 862.834200000001; 840.4254; 812.598399999999;
    785.924200000001; 763.050999999999; 741.793799999999; 721.466;
    699.040799999999; 677.997200000002; 649.866999999998; 634.911800000002;
    609.8694; 591.981599999999; 570.2922; 557.129199999999; 538.3858;
    521.872599999999; 502.951400000002; 495.776399999999; 475.171399999999;
    459.751; 439.995200000001; 426.708999999999; 413.7016; 402.3868;
    387.262599999998; 372.0524; 357.050999999999; 342.5098; 334.849200000001;
    322.529399999999; 311.613799999999; 295.848000000002; 289.273000000001;
    274.093000000001; 263.329600000001; 251.389599999999; 245.7392; 231.9614;
    229.7952; 217.155200000001; 208.9588; 199.016599999999; 190.839199999999;
    180.6976; 176.272799999999; 166.976999999999; 162.5252; 151.196400000001;
    149.386999999999; 133.981199999998; 130.0586; 130.164000000001;
    122.053400000001; 110.7428; 108.1276; 106.232400000001; 100.381600000001;
    98.7668000000012; 86.6440000000002; 79.9768000000004; 82.4722000000002;
    68.7026000000005; 70.1186000000016; 71.9948000000004; 58.998599999999;
    59.0492000000013; 56.9818000000014; 47.5338000000011; 42.9928;
    51.1591999999982; 37.2740000000013; 42.7220000000016; 31.3734000000004;
    26.8090000000011; 25.8934000000008; 26.5286000000015; 29.5442000000003;
    19.3503999999994; 26.0760000000009; 17.9527999999991; 14.8419999999969;
    10.4683999999979; 8.65899999999965; 9.86720000000059; 4.34139999999752;
    -0.907800000000861; -3.32080000000133; -0.936199999996461;
    -11.9916000000012; -8.87000000000262; -6.33099999999831; -11.3366000000024;
    -15.9207999999999; -9.34659999999712; -15.5034000000014; -19.2097999999969;
    -15.357799999998; -28.2235999999975; -30.6898000000001; -19.3271999999997;
    -25.6083999999973; -24.409599999999; -13.6385999999984; -33.4473999999973;
    -32.6949999999997; -28.9063999999998; -31.7483999999968; -32.2935999999972;
    -35.8329999999987; -47.620600000002; -39.0855999999985; -33.1434000000008;
    -46.1371999999974; -37.5892000000022; -46.8164000000033; -47.3142000000007;
    -60.2914000000019; -37.7575999999972; |];
   precision 14
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    9431.394; 9248.7784; 9067.6894; 8889.6824; 8712.9134; 8538.8624;
    8368.4944; 8197.7956; 8031.8916; 7866.6316; 7703.733; 7544.5726;
    7386.204; 7230.666; 7077.8516; 6926.7886; 6778.6902; 6631.9632; 6487.304;
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    4699.127; 4588.5606; 4477.7394; 4369.4014; 4264.2728; 4155.9224; 4055.581;
    3955.505; 3856.9618; 3761.3828; 3666.9702; 3575.7764; 3482.4132; 3395.0186;
    3305.8852; 3221.415; 3138.6024; 3056.296; 2970.4494; 2896.1526; 2816.8008;
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    2260.6752; 2194.2686; 2133.7792; 2074.767; 2015.204; 1959.4226; 1898.6502;
    1850.006; 1792.849; 1741.4838; 1687.9778; 1638.1322; 1589.3266; 1543.1394;
    1496.8266; 1447.8516; 1402.7354; 1361.9606; 1327.0692; 1285.4106;
    1241.8112; 1201.6726; 1161.973; 1130.261; 1094.2036; 1048.2036; 1020.6436;
    990.901400000002; 961.199800000002; 924.769800000002; 899.526400000002;
    872.346400000002; 834.375; 810.432000000001; 780.659800000001;
    756.013800000001; 733.479399999997; 707.923999999999; 673.858;
    652.222399999999; 636.572399999997; 615.738599999997; 586.696400000001;
    564.147199999999; 541.679600000003; 523.943599999999; 505.714599999999;
    475.729599999999; 461.779600000002; 449.750800000002; 439.020799999998;
    412.7886; 400.245600000002; 383.188199999997; 362.079599999997;
    357.533799999997; 334.319000000003; 327.553399999997; 308.559399999998;
    291.270199999999; 279.351999999999; 271.791400000002; 252.576999999997;
    247.482400000001; 236.174800000001; 218.774599999997; 220.155200000001;
    208.794399999999; 201.223599999998; 182.995600000002; 185.5268;
    164.547400000003; 176.5962; 150.689599999998; 157.8004; 138.378799999999;
    134.021200000003; 117.614399999999; 108.194000000003; 97.0696000000025;
    89.6042000000016; 95.6030000000028; 84.7810000000027; 72.635000000002;
    77.3482000000004; 59.4907999999996; 55.5875999999989; 50.7346000000034;
    61.3916000000027; 50.9149999999936; 39.0384000000049; 58.9395999999979;
    29.633600000001; 28.2032000000036; 26.0078000000067; 17.0387999999948;
    9.22000000000116; 13.8387999999977; 8.07240000000456; 14.1549999999988;
    15.3570000000036; 3.42660000000615; 6.24820000000182; -2.96940000000177;
    -8.79940000000352; -5.97860000000219; -14.4048000000039; -3.4143999999942;
    -13.0148000000045; -11.6977999999945; -25.7878000000055; -22.3185999999987;
    -24.409599999999; -31.9756000000052; -18.9722000000038; -22.8678000000073;
    -30.8972000000067; -32.3715999999986; -22.3907999999938; -43.6720000000059;
    -35.9038; -39.7492000000057; -54.1641999999993; -45.2749999999942;
    -42.2989999999991; -44.1089999999967; -64.3564000000042;
    -49.9551999999967; -42.6116000000038; |];
   precision 15
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    18865.4382; 18498.8244; 18136.5138; 17778.8668; 17426.2344; 17079.32;
    16734.778; 16397.2418; 16063.3324; 15734.0232; 15409.731; 15088.728;
    14772.9896; 14464.1402; 14157.5588; 13855.5958; 13559.3296; 13264.9096;
    12978.326; 12692.0826; 12413.8816; 12137.3192; 11870.2326; 11602.5554;
    11340.3142; 11079.613; 10829.5908; 10583.5466; 10334.0344; 10095.5072;
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    8313.7396; 8116.9168; 7913.542; 7718.4778; 7521.65; 7335.5596; 7154.2906;
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    5787.6784; 5635.5784; 5482.308; 5337.9784; 5190.0864; 5045.9158; 4919.1386;
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    1901.4096; 1841.86079999999; 1777.54700000001; 1714.5802; 1654.65059999999;
    1596.311; 1546.2016; 1492.3296; 1433.8974; 1383.84600000001; 1339.4152;
    1293.5518; 1245.8686; 1193.50659999999; 1162.27959999999; 1107.19439999999;
    1069.18060000001; 1035.09179999999; 999.679000000004; 957.679999999993;
    925.300199999998; 888.099400000006; 848.638600000006; 818.156400000007;
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    671.633600000001; 647.939799999993; 621.670599999998; 575.398799999995;
    561.226599999995; 532.237999999998; 521.787599999996; 483.095799999996;
    467.049599999998; 465.286399999997; 415.548599999995; 401.047399999996;
    380.607999999993; 377.362599999993; 347.258799999996; 338.371599999999;
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    191.045400000003; 166.718200000003; 166.259000000005; 162.941200000001;
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    89.473399999988; 80.1962000000058; 77.5457999999926; 59.1056000000099;
    83.3509999999951; 52.2906000000075; 36.3979999999865; 40.6558000000077;
    42.0003999999899; 19.6630000000005; 19.7153999999864; -8.38539999999921;
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    -68.8034000000043; -56.9245999999985; -57.8583999999973; -77.3097999999882;
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    -57.296399999992; -96.2746000000043; -103.25; -96.081600000005;
    -91.5542000000132; -102.465200000006; -107.688599999994; -101.458000000013;
    -109.715800000005; |];
   precision 16
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    42330.03; 41540.407; 40759.6348; 39988.206; 39226.5144; 38473.2096;
    37729.795; 36997.268; 36272.6448; 35558.665; 34853.0248; 34157.4472;
    33470.5204; 32793.5742; 32127.0194; 31469.4182; 30817.6136; 30178.6968;
    29546.8908; 28922.8544; 28312.271; 27707.0924; 27114.0326; 26526.692;
    25948.6336; 25383.7826; 24823.5998; 24272.2974; 23732.2572; 23201.4976;
    22674.2796; 22163.6336; 21656.515; 21161.7362; 20669.9368; 20189.4424;
    19717.3358; 19256.3744; 18795.9638; 18352.197; 17908.5738; 17474.391;
    17052.918; 16637.2236; 16228.4602; 15823.3474; 15428.6974; 15043.0284;
    14667.6278; 14297.4588; 13935.2882; 13578.5402; 13234.6032; 12882.1578;
    12548.0728; 12219.231; 11898.0072; 11587.2626; 11279.9072; 10973.5048;
    10678.5186; 10392.4876; 10105.2556; 9825.766; 9562.5444; 9294.2222; 9038.2352;
    8784.848; 8533.2644; 8301.7776; 8058.30859999999; 7822.94579999999;
    7599.11319999999; 7366.90779999999; 7161.217; 6957.53080000001; 6736.212;
    6548.21220000001; 6343.06839999999; 6156.28719999999; 5975.15419999999;
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    4364.68539999999; 4220.77720000001; 4082.67259999999; 3957.19519999999;
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    3338.66639999999; 3233.55559999999; 3117.799; 3008.111; 2909.69140000001;
    2814.86499999999; 2719.46119999999; 2624.742; 2532.46979999999; 2444.7886;
    2370.1868; 2272.45259999999; 2196.19260000001; 2117.90419999999; 2023.2972;
    1969.76819999999; 1885.58979999999; 1833.2824; 1733.91200000001;
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    1421.71960000001; 1371.22899999999; 1322.1324; 1264.7892; 1196.23920000001;
    1143.8474; 1088.67240000001; 1073.60380000001; 1023.11660000001;
    959.036400000012; 927.433199999999; 906.792799999996; 853.433599999989;
    841.873800000001; 791.1054; 756.899999999994; 704.343200000003;
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    519.406599999988; 519.188400000014; 495.312800000014; 451.350799999986;
    443.973399999988; 431.882199999993; 392.027000000002; 380.924200000009;
    345.128999999986; 298.901400000002; 287.771999999997; 272.625;
    247.253000000026; 222.490600000019; 223.590000000026; 196.407599999977;
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    86.7939999999944; 56.7038000000175; 64.915399999998; 38.3726000000024;
    37.1606000000029; 46.170999999973; 49.1716000000015; 15.3362000000197;
    6.71639999997569; -34.8185999999987; -39.4476000000141; 12.6830000000191;
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    -70.7576000000117; -106.325200000021; -126.852200000023; -110.227599999984;
    -132.885999999999; -113.897200000007; -142.713800000027; -151.145399999979;
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    -177.259399999981; -198.663600000029; -174.577600000019; -193.84580000001; |];
   precision 17
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    75465.432; 73994.152; 72546.71; 71115.2345; 69705.6765; 68314.937;
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    59092.789; 57850.568; 56624.518; 55417.343; 54231.1415; 53067.387;
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    45364.852; 44327.053; 43318.4005; 42325.6165; 41348.4595; 40383.6265;
    39436.77; 38509.502; 37594.035; 36695.939; 35818.6895; 34955.691;
    34115.8095; 33293.949; 32465.0775; 31657.6715; 30877.2585; 30093.78;
    29351.3695; 28594.1365; 27872.115; 27168.7465; 26477.076; 25774.541;
    25106.5375; 24452.5135; 23815.5125; 23174.0655; 22555.2685; 21960.2065;
    21376.3555; 20785.1925; 20211.517; 19657.0725; 19141.6865; 18579.737;
    18081.3955; 17578.995; 17073.44; 16608.335; 16119.911; 15651.266;
    15194.583; 14749.0495; 14343.4835; 13925.639; 13504.509; 13099.3885;
    12691.2855; 12328.018; 11969.0345; 11596.5145; 11245.6355; 10917.6575;
    10580.9785; 10277.8605; 9926.58100000001; 9605.538; 9300.42950000003;
    8989.97850000003; 8728.73249999998; 8448.3235; 8175.31050000002;
    7898.98700000002; 7629.79100000003; 7413.76199999999; 7149.92300000001;
    6921.12650000001; 6677.1545; 6443.28000000003; 6278.23450000002;
    6014.20049999998; 5791.20299999998; 5605.78450000001; 5438.48800000001;
    5234.2255; 5059.6825; 4887.43349999998; 4682.935; 4496.31099999999;
    4322.52250000002; 4191.42499999999; 4021.24200000003; 3900.64799999999;
    3762.84250000003; 3609.98050000001; 3502.29599999997; 3363.84250000003;
    3206.54849999998; 3079.70000000001; 2971.42300000001; 2867.80349999998;
    2727.08100000001; 2630.74900000001; 2496.6165; 2440.902; 2356.19150000002;
    2235.58199999999; 2120.54149999999; 2012.25449999998; 1933.35600000003;
    1820.93099999998; 1761.54800000001; 1663.09350000002; 1578.84600000002;
    1509.48149999999; 1427.3345; 1379.56150000001; 1306.68099999998;
    1212.63449999999; 1084.17300000001; 1124.16450000001; 1060.69949999999;
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    782.802000000025; 748.385499999975; 647.991500000004; 626.730500000005;
    570.776000000013; 484.000500000024; 513.98550000001; 418.985499999952;
    386.996999999974; 370.026500000036; 355.496999999974; 356.731499999994;
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    197.347500000033; 95.718499999959; 67.6165000000037; 54.6970000000438;
    31.7395000000251; -15.8784999999916; 8.42500000004657; -26.3754999999655;
    -118.425500000012; -66.6629999999423; -42.9745000000112; -107.364999999991;
    -189.839000000036; -162.611499999999; -164.964999999967; -189.079999999958;
    -223.931499999948; -235.329999999958; -269.639500000048;
    -249.087999999989; -206.475499999942; -283.04449999996; -290.667000000016;
    -304.561499999953; -336.784499999951; -380.386500000022; -283.280499999993;
    -364.533000000054; -389.059499999974; -364.454000000027; -415.748000000021;
    -417.155000000028; |];
   precision 18
  [| 189083.0; 185696.913; 182348.774; 179035.946; 175762.762; 172526.444;
    169329.754; 166166.099; 163043.269; 159958.91; 156907.912; 153906.845;
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|]
